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What is 0.0000583278648 rounded to five dps? 0.00006 Round -0.1192552937 to 4 dps. -0.1193 What is -0.00286301617 rounded to four dps? -0.0029 Round -704700.41 to the nearest 100000. -700000 What is 0.0051607809 rounded to 5 decimal places? 0.00516 What is 12086135.94 rounded to the nearest 1000000? 12000000 What is 63.05012801 rounded to the nearest ten? 60 What is 5483.669308 rounded to the nearest ten? 5480 What is 165655182 rounded to the nearest ten thousand? 165660000 What is 2149431.2 rounded to the nearest 10000? 2150000 What is -94527.9859 rounded to the nearest 100000? -100000 Round -0.0621310132 to 2 dps. -0.06 Round -863230.5455 to the nearest ten. -863230 What is 0.370780751 rounded to 3 decimal places? 0.371 Round -27.17364 to the nearest ten. -30 What is 1.074096415 rounded to 1 dp? 1.1 What is 71163239.1 rounded to the nearest one million? 71000000 What is 0.000000319841763 rounded to 7 decimal places? 0.0000003 Round -230265.4413 to the nearest one hundred. -230300 Round -109940.73901 to the nearest one thousand. -110000 Round -31726786.9 to the nearest one million. -32000000 Round 5011714.63 to the nearest 1000. 5012000 What is 13366.516568 rounded to the nearest 1000? 13000 Round -0.00000127858342 to seven decimal places. -0.0000013 What is 0.00011212629 rounded to 6 dps? 0.000112 Round -4.384415643 to 3 dps. -4.384 What is 0.0280447567 rounded to 5 dps? 0.02804 What is 0.0000098481509 rounded to 7 decimal places? 0.0000098 What is -0.003194332938 rounded to 7 decimal places? -0.0031943 Round 0.00442684515 to seven decimal places. 0.0044268 What is 0.0040104311 rounded to 6 dps? 0.00401 Round -950677.297 to the nearest 10. -950680 Round -199403.804 to the nearest one hundred thousand. -200000 Round 322.5562976 to the nearest ten. 320 What is 11.69836947 rounded to 3 dps? 11.698 Round 0.06499456673 to 6 dps. 0.064995 What is -1.116755958 rounded to 4 dps? -1.1168 What is -0.0228540047 rounded to 3 decimal places? -0.023 What is 7931.67535 rounded to the nearest 1000? 8000 Round -0.00032183535 to 6 dps. -0.000322 Round 0.000001139526 to six decimal places. 0.000001 Round -0.00103981401 to 4 decimal places. -0.001 What is -280829891 rounded to the nearest one million? -281000000 Round 0.00603362725 to three dps. 0.006 Round -0.000000645878997 to 7 dps. -0.0000006 What is -7.429144 rounded to the nearest integer? -7 What is 0.007125571553 rounded to three dps? 0.007 What is -0.00031327886 rounded to 7 dps? -0.0003133 Round -231.072165 to 1 dp. -231.1 What is 47.430718 rounded to 1 dp? 47.4 Round -0.0011730729814 to 4 dps. -0.0012 Round -205994.951 to the nearest 100. -206000 What is 0.00312741203 rounded to 4 decimal places? 0.0031 What is 21674365.7 rounded to the nearest 1000000? 22000000 What is 0.0000116431904 rounded to seven dps? 0.0000116 What is -17716084.09 rounded to the nearest ten thousand? -17720000 What is 321764627 rounded to the nearest 1000000? 322000000 Round 1919884.4838 to the nearest ten thousand. 1920000 Round -0.00002832692171 to six decimal places. -0.000028 What is 387403979 rounded to the nearest one thousand? 387404000 Round 1.8377985 to four dps. 1.8378 Round 858550.221 to the nearest 100. 858600 Round -0.00301572 to four dps. -0.003 Round -0.00101050701 to seven decimal places. -0.0010105 Round 1.7012714 to 2 decimal places. 1.7 Round -0.070071901 to 2 decimal places. -0.07 Round -0.0051346318 to 5 decimal places. -0.00513 Round -0.618703295 to 3 dps. -0.619 What is -925.673303 rounded to the nearest integer? -926 What is 821932363 rounded to the nearest 100000? 821900000 Round -0.1362934407 to 2 dps. -0.14 Round -14558764295 to the nearest 100000. -14558800000 What is 1665747.79 rounded to the nearest 1000? 1666000 What is -31023597.08 rounded to the nearest 1000? -31024000 Round 90435980 to the nearest 10000. 90440000 Round -0.00074294746 to 7 decimal places. -0.0007429 What is 25933.25843 rounded to the nearest 1000? 26000 Round 6593.65116 to 1 decimal place. 6593.7 Round 0.000121584452 to 6 dps. 0.000122 What is 0.0159288243 rounded to five dps? 0.01593 What is 0.0315273625 rounded to 5 dps? 0.03153 What is -6.8315794 rounded to the nearest integer? -7 What is -635192.05 rounded to the nearest 1000? -635000 Round 0.00541581419 to 4 dps. 0.0054 Round -0.0000036139051 to six dps. -0.000004 What is -0.00000700357462 rounded to 6 dps? -0.000007 What is 0.0000464211561 rounded to four dps? 0 Round -2278808.35 to the nearest 1000000. -2000000 What is 0.000009378843 rounded to 7 dps? 0.0000094 Round 150540.6224 to the nearest ten. 150540 What is -0.02949299024 rounded to four dps? -0.0295 Round -547.4416559 to the nearest integer. -547 Round -0.02396049858 to seven decimal places. -0.0239605 Round 4478711.33 to the nearest 100000. 4500000 What is 0.00460946 rounded to three decimal places? 0.005 Round 0.549739612 to 4 dps. 0.5497 Round -0.01016137478 to 3 decimal places. -0.01 What is -0.00012525781 rounded to five dps? -0.00013 What is -0.00325695394 rounded to 7 dps? -0.003257 What is 0.0044230183 rounded to five dps? 0.00442 What is 0.004396461919 rounded to four dps? 0.0044 Round 2.51605108 to one dp. 2.5 Round -0.938368063 to three decimal places. -0.938 What is 67611817 rounded to the nearest 10000? 67610000 What is -117823295.7 rounded to the nearest 1000000? -118000000 What is -1049701.4845 rounded to the nearest ten? -1049700 What is -1.09261974 rounded to 4 decimal places? -1.0926 Round 180.298338 to the nearest one hundred. 200 Round 0.020828696 to four dps. 0.0208 What is -0.0024774612 rounded to three decimal places? -0.002 What is -496938.28 rounded to the nearest 1000? -497000 Round -0.009970712518 to six dps. -0.009971 Round 3709603.23 to the nearest 1000000. 4000000 Round 43298949 to the nearest ten thousand. 43300000 Round -0.048059541 to 3 decimal places. -0.048 Round 3.912576841 to two dps. 3.91 Round -394.55856 to 1 dp. -394.6 What is 0.240340353 rounded to two decimal places? 0.24 Round 0.321448625 to three decimal places. 0.321 What is 422911866 rounded to the nearest one million? 423000000 Round 0.300902598 to 5 decimal places. 0.3009 Round -118679.74552 to zero dps. -118680 Round -860169.74 to the nearest one hundred. -860200 What is -906326920 rounded to the nearest 100000? -906300000 What is -4021.01477 rounded to 1 decimal place? -4021 What is 0.1912562 rounded to 3 dps? 0.191 Round -875094114.3 to the nearest 1000000. -875000000 What is 0.00001895187 rounded to 6 decimal places? 0.000019 Round -525062940 to the nearest one million. -525000000 What is 0.000079127578 rounded to 7 dps? 0.0000791 Round 418946286 to the nearest 100000. 418900000 Round 598896.25 to the nearest 100. 598900 Round 14227.16092 to the nearest 10. 14230 What is 18.0394467 rounded to one decimal place? 18 Round -0.00000183446583 to six decimal places. -0.000002 What is 0.1528758356 rounded to 2 decimal places? 0.15 Round 0.0001066154 to 6 dps. 0.000107 Round 0.090586559 to 3 decimal places. 0.091 Round 0.009795365288 to five decimal places. 0.0098 What is 17568.36211 rounded to the nearest one hundred? 17600 Round -3739.18629 to the nearest ten. -3740 Round -31.5408283 to 2 dps. -31.54 What is -0.0000029135171 rounded to 6 decimal places? -0.000003 What is -32.1620086 rounded to 2 decimal places? -32.16 Round -0.0647057946 to 3 decimal places. -0.065 What is -0.00002881647899 rounded to six decimal places? -0.000029 Round -376907.244 to the nearest one hundred thousand. -400000 What is 3871.542 rounded to the nearest integer? 3872 What is 167.37808 rounded to the nearest one hundred? 200 What is 9694.72556 rounded to the nearest integer? 9695 Round -29.50997108 to three dps. -29.51 What is 0.0047452356 rounded to five decimal places? 0.00475 Round -0.00008050219 to 5 decimal places. -0.00008 Round -12416224 to the nearest 10000. -12420000 Round 45.5085925 to one dp. 45.5 What is 0.00022165086 rounded to 7 dps? 0.0002217 Round 0.00074303523 to six dps. 0.000743 What is -58484407.8 rounded to the nearest one hundred thousand? -58500000 What is 0.000218192108 rounded to 5 decimal places? 0.00022 Round -0.759669422 to 2 dps. -0.76 What is 0.0110176397 rounded to three decimal places? 0.011 What is -315987.874 rounded to the nearest one thousand? -316000 Round 16034.10073 to the nearest ten. 16030 What is -165.652138 rounded to the nearest ten? -170 What is 0.747455982 rounded to 5 dps? 0.74746 Round -21.34341298 to 3 decimal places. -21.343 Round -528.905463 to the nearest one hundred. -500 What is 26.18151374 rounded to zero dps? 26
Let p = 7557538175/3621121 - -1/1034606. Let s = p + -2090. What is the common denominator of 0 - 62/(-4) - 1 and s? 14 Let m = -61 + 37. Find the common denominator of ((-10)/4)/(m/(-28)) and 69/16. 48 Suppose 3*p + 2*p - 10 = -4*c, -p + 2 = 4*c. Suppose -4*h - 4*r = c, 0*r + 2 = 2*h + r. Calculate the least common multiple of 2 and h. 2 Let s = 1/78 - 4733/78. Let d = s - -59. What is the common denominator of -15/7 and d? 21 Let t(r) = 4*r**3 - 2*r + 1. Let i be t(1). Suppose o = 9 + i. Calculate the lowest common multiple of 10 and o. 60 Let u = -3/229648 - 589850825/4822608. Let k = -701/7 - u. Calculate the common denominator of k and -45/8. 24 Let f = 10 - 45/4. Let b = 1701623/410020 - 2/20501. Calculate the common denominator of f and b. 20 Let h = 5/88 + -555/88. What is the common denominator of 26/9 and h? 36 Let q be ((-12)/(-9))/((-3)/(-9)). Let b be (-10)/3*(7 - q). Let m = -6 - b. What is the smallest common multiple of 8 and m? 8 Suppose -2*j = -i, -4*i + 18 = -2*i + 2*j. Suppose -4*y + 76 = 4*k, 4*y + 18 = k + i*y. Calculate the smallest common multiple of k and (-1)/((-6)/(-4))*-18. 60 Suppose 5*i + 33 + 42 = 0. Let s be (1 - 1/2)*2. Calculate the common denominator of -32/9 and s/i - (-5)/(-15). 45 Suppose -10*r = -28 - 52. Let f = -14 - -45. Let l = f + -19. Calculate the least common multiple of l and r. 24 Suppose 0 = 3*l + 4*p - 23, -2*l = -0*l - 4*p - 2. Let z(k) = 0 + 4*k - 2*k + 3*k - 3. Calculate the lowest common multiple of z(l) and 20. 220 Let h = 1217 - 3581/3. What is the common denominator of h and 145/12? 12 What is the common denominator of 3/5 and 2/3 - (-235)/(-105)? 35 Calculate the common denominator of 145/24 and ((-19)/(-2))/(819/(-26)). 504 Let s = 2/14081 + -577477/1098318. Calculate the common denominator of s and -77/10. 390 Suppose -4*d - 3*z = -32, z + 2*z + 3 = 3*d. Let o(r) = r**3 + 5*r**2 + 2*r + 12. What is the lowest common multiple of o(-5) and d? 10 Let u = 84414/117325 - 8880770087/4359562350. Let z = 1256/23 + -2121407/38847. Let i = z + u. Find the common denominator of i and 11/10. 110 Let z = 205 + -2867/14. What is the common denominator of -47/30 and z? 210 Suppose 0 = 5*k + p - 17, 4*k - 3*p - 22 = 3. Suppose 0 = b - 5, 4*s + 30 - 128 = -2*b. What is the smallest common multiple of s and k? 44 Let k(r) = r + 6. Calculate the least common multiple of k(-4) and 12. 12 What is the common denominator of (-54)/(-80)*(4 - -2) and -101/42? 420 Suppose 0*w + 5*w = 2*t + 14, 0 = -w - t. Suppose 0 = 3*o + 5*p + 13, -4*o + 5*o + 5*p = -21. What is the smallest common multiple of o and w? 4 Suppose 0 = n - 6 - 10. What is the common denominator of 47/6 and ((-132)/(-40))/(n/(-30))? 48 Let c = -8413403/321 - -26210. Let z = -10007/2568 + c. Find the common denominator of -79/22 and z. 88 Let g(s) = -s**2 + 5*s + 4. Let x be g(3). Let j = x + -7. Let a(v) = v**3 - v**2 - 5*v + 3. Calculate the smallest common multiple of a(j) and 10. 30 Suppose 2*z + 3*z - 32 = -2*r, -2*r + 2*z + 32 = 0. Calculate the least common multiple of 22 and r. 176 Let k = 496 - 806. Calculate the common denominator of 12/(-4) - k/45 and -44/7. 63 Let n be -2*((-2)/(-4) - 2). Suppose 4*z + 19 - n = 0. Find the common denominator of (-5 + z)/(16/2) and 9/20. 40 Suppose -80 = -5*a - 3*a. What is the lowest common multiple of a and 10? 10 Calculate the common denominator of (-10)/4*(-12)/(-18) and 1/5 - 86/80. 24 Suppose -q - 3*a + 2 + 5 = 0, -3*q + 4*a = -34. Calculate the lowest common multiple of q and 11. 110 What is the smallest common multiple of 3/((-9)/(-132)) + -2*1 and 6? 42 Let z = -193/14 + 23/2. Find the common denominator of z and -28. 7 Let n = 188 - 84. Calculate the common denominator of -39/5 and 10/(-5) + n/(-18). 45 Let g(d) = d**2 - 32*d - 31. Calculate the smallest common multiple of g(33) and ((-4)/(-6))/(1/12). 8 Let r = 1371/10 + -130. What is the common denominator of r and 3 + -1 - 57/20? 20 Let p = -14155 - -424607/30. What is the common denominator of 19/14 and p? 210 Let v be ((-8)/(-68))/((-394)/(-1)). Let m = v + -338253/13396. Let n = 2/587 - -5279/1174. Find the common denominator of n and m. 4 Let u = 13971/4 + -3475. Find the common denominator of 77/12 and u. 12 Let w be ((0/(-1))/2)/2. Suppose 5*z - 2*z - d - 211 = w, 4*d + 124 = 2*z. What is the smallest common multiple of z and 2? 72 Let p = 558003 - 2219187/4. Let h = p + -3231. What is the common denominator of (103/(-7))/((-12)/14) and h? 12 Calculate the lowest common multiple of (-8)/(-48) + (-70)/(-12) and 8. 24 Find the common denominator of 51/2 and (-20)/90 - 926/288. 16 What is the smallest common multiple of 26 and (-366)/(-30) + 1/(-5)? 156 Find the common denominator of (-37)/16 + (-5)/((-10)/4) and 89/36. 144 What is the smallest common multiple of 8 and 43/2 - 6/4? 40 Let p(f) = 2*f**3 - 7*f. Let u be p(-5). What is the common denominator of ((-3)/2)/((-4)/18) and ((-4)/(-160))/(2/u)? 16 Suppose -2 = -3*z + 2*z. Suppose -q = -b - 5, -z*q - b - 37 = -7*q. What is the lowest common multiple of q and 10? 40 Let z(s) = s**3 + 5*s**2 + 2*s - 2. Let j(f) = -f - 2. Calculate the smallest common multiple of z(-4) and j(-6). 12 Let z(n) = -n**3 - 16*n**2 - 16*n - 12. What is the smallest common multiple of 9 and z(-15)? 9 Let w = 6 - -1. Let x(l) = l**3 - 8*l**2 + 9*l - 2. What is the least common multiple of x(w) and 18? 36 Let r be (-17546)/11700 + 15/10. Let x = r - 231079/11700. Calculate the common denominator of x and -26/9. 36 Let s = 1195/3 - 26443/66. Find the common denominator of s and 7/16. 176 Find the common denominator of 23/24 and (1/2)/(-2 + 749/364). 24 Let i = 195861/4 - 49550. Let h = i - -590. Find the common denominator of h and 59/16. 16 Let q(r) = 284*r + 1. Let p be q(-2). What is the common denominator of 69/4 and (p/(-60))/7 + 1? 20 Suppose 4*h - 17 = 5*m, -2*h - 3*m = 3*h - 12. Suppose 141 = -h*t + 6*t. Find the common denominator of t and 38/3. 3 Let u(c) = -c - 18. Let x be u(-15). What is the least common multiple of -1 + -2 - (x - 12) and 20? 60 Let w = 133 - 65. Calculate the least common multiple of 10 and w. 340 Let g(t) = 69*t - 6. Let o be g(2). Find the common denominator of 74/3 and o/(-8) + -3 + -1. 6 Suppose 0 = -4*h + 4*j + 12, -h - 2*j + 22 = 4*h. Suppose 6 - 2 = -h*y. Calculate the smallest common multiple of 6 and 5*y/2*-4. 30 What is the common denominator of 77/12 and 76/7*((-65)/(-10))/(-13)? 84 Let r(g) = -g**3 - 6*g**2 + g + 3. Let f be r(-6). Let m(b) = b**3 + 2*b**2 - 2*b + 4. Calculate the smallest common multiple of 3 and m(f). 3 Let h = -1 + 1. Let x(w) = w**2 + w + 29. Find the common denominator of x(h) and -67/4. 4 Let b = -40 + 58. Let w(j) = 2*j**2 - 2. Calculate the smallest common multiple of b and w(3). 144 Suppose 3*z + 33 = 5*h - 2, 5*z + 25 = 0. What is the smallest common multiple of 16 and h? 16 Let v be (-12)/(-5) + (-2)/5. Suppose a + 0*a = 10. Calculate the lowest common multiple of ((-1)/(-2))/(v/88) and a. 110 Let h = 16 + -22. Let j(l) = -7*l + 3. Let x be j(h). Suppose -y + x = 4*y. What is the least common multiple of 1 and y? 9 Suppose -o + 27 = 4*q, -3*o - 12 = -5*q + 9. Let k(c) = 3*c**2 + 3*c + 1. Calculate the lowest common multiple of q and k(-2). 42 Let p = -667/200 - -91677/26200. Find the common denominator of p and 71/16. 2096 Let l = -19/4 + 4. Find the common denominator of l and -25/4. 4 Let f = 82/45 + 1621/90. Calculate the common denominator of f and -23/20. 60 Suppose 4 = 3*w - w. Let p be (w + 12/(-15))*7180. Let j = -51827/6 + p. Find the common denominator of 55/16 and j. 48 Let u(x) = -x**2 + 5*x - 4. Let v be u(4). Suppose v = w - 16 - 19. Calculate the common denominator of w and -31/7. 7 Let x be (-4)/(-18) - (-18705081)/27. Let u = -8319643/12 + x. Let g = 524 + u. Calculate the common denominator of g and 65/14. 84 Let f be 2/4211*9/(-18). Let a = f - 176857/21055. Find the common denominator of -19/2 and a. 10 Let v = 6 - 5. Suppose 0 = 3*t + 2*b - v, -4*t + 4 = 5*b - 2. Calculate the common denominator of -71/20 and t + 1 + (-609)/(-112). 80 Suppose b = 4*r - 6, -6*b + 4*b + 15 = r. Calculate the common denominator of 11/15 and b/(-33) - 840/99. 15 Let k = 82 + -37. Calculate the smallest common multiple of k and 18. 90 Let r be 1/(-5) + 145/(-25). Calculate the least common multiple of 0 - (-21)/r*-2 and 5. 35 Suppose 3*m + 11 = -5*z + 64, -5*z + 42 = 2*m. Let u = m - 5. Calculate the least common multiple of 2 and u. 6
Suppose -3*h - 3*g + 19 = h, 8 = 3*h + g. Let x(c) = -c + 1. Let r(z) = -5*z + 7. Calculate h*r(m) - 6*x(m). m + 1 Let j(l) = -3*l**2 - 2*l**2 - 4*l**2 - l**2 + 5*l**2. Let u(x) = -12*x**2. Calculate 10*j(h) - 5*u(h). 10*h**2 Let i = -2 + 4. Let f(d) = -d + 1. Let r be ((-4)/(-6))/(-3 + 33/9). Let v(l) = 4*l - 4. Give i*f(c) + r*v(c). 2*c - 2 Let c(f) = -11*f**2 + 10*f + 90. Let o(u) = 5*u**2 - 4*u - 44. Calculate 2*c(s) + 5*o(s). 3*s**2 - 40 Let t(g) = 104*g - 3. Let p(w) = w - 1. What is -4*p(v) + t(v)? 100*v + 1 Let m(q) = 7*q**3 - 5*q**2 + 5. Let c(t) = 10*t**3 - 8*t**2 + 8. Let k be 4 - 3*(-6)/18. Give k*c(g) - 8*m(g). -6*g**3 Suppose 2*g = 9*g - 7. Let v(w) = 5*w + 3. Let x(r) = r - 1. What is g*v(k) + 3*x(k)? 8*k Let k(h) = 53*h - 54*h + 251 - 250. Let x(r) = 3*r + 4. Calculate 4*k(p) + x(p). -p + 8 Let b(d) = d**2 + 2*d - 2. Let k = -691 + 687. Let s(x) be the third derivative of x**5/60 + x**4/24 - x**3/6 + 3*x**2. What is k*s(f) + 3*b(f)? -f**2 + 2*f - 2 Let z(t) = 4*t**2. Let x(v) = 40*v**2 + v - 4. Calculate 2*x(u) - 18*z(u). 8*u**2 + 2*u - 8 Let d(r) = -2*r**2. Let a(b) = b**2 + 2*b - 49. Let f be a(-8). Let w(k) = -k**2. Determine f*w(s) + d(s). -s**2 Let c(l) = l**3 - l**2 - l - 5. Let i = 50 - 50. Let m be c(i). Let g(h) = -5*h + 4 + h - 2 + 5*h. Let p(x) = 2*x + 5. Give m*g(t) + 2*p(t). -t Let v(d) = -6*d**3 - 5*d - 3. Let z(u) = -u**3 - u**2 - u - 1. What is -v(c) + 4*z(c)? 2*c**3 - 4*c**2 + c - 1 Let z(m) = 5*m**2 - 11*m - 2947. Let i(x) = -x**2 + 2*x + 589. Give -11*i(d) - 2*z(d). d**2 - 585 Let w(v) = 6*v**2 + 34*v - 1. Let k(o) = -2*o**2 - 17*o. Calculate 5*k(u) + 2*w(u). 2*u**2 - 17*u - 2 Let t(i) = 11*i**2 - 23*i + 8. Let s(g) = 5*g**2 - 11*g + 5. Calculate 5*s(o) - 3*t(o). -8*o**2 + 14*o + 1 Let o(n) = 13*n**3 + 7*n**2 - 31*n + 7. Let b(p) = 9*p**3 + 5*p**2 - 21*p + 5. What is -7*b(y) + 5*o(y)? 2*y**3 - 8*y Let j(n) = -39*n**3 + 8*n**2 + 11*n. Let g(x) = -13*x**3 + 3*x**2 + 4*x. Calculate 8*g(z) - 3*j(z). 13*z**3 - z Let c(q) = 1. Let a(t) = -134*t + 9. What is a(v) - 5*c(v)? -134*v + 4 Let k(d) = 2*d. Let a be 24/(-32)*120/(-18). Let p(i) = i. What is a*p(z) - k(z)? 3*z Let b(k) = 25*k**2 + 2*k - 88. Let o(u) = 19*u**2 + u - 88. Give 3*b(f) - 4*o(f). -f**2 + 2*f + 88 Let l(d) = d**2 + d - 1. Let w(g) = g**3 - 7*g**2 - 5*g + 1. Let s(u) = -7*u**2 + 59*u + 37. Let x be s(9). What is x*w(v) + 5*l(v)? v**3 - 2*v**2 - 4 Suppose -20 = -4*d - 0*d. Let u(y) = -y + 4. Let k(f) be the second derivative of 1/6*f**3 + 0 - 3/2*f**2 + 5*f. Determine d*k(x) + 4*u(x). x + 1 Let l(v) = -2*v - 17. Let j(k) = k + 14. Calculate 5*j(r) + 4*l(r). -3*r + 2 Let c(z) = -13. Let g(d) = -d + 10. Give 4*c(i) + 5*g(i). -5*i - 2 Let s(u) = 5*u**3 + 36*u. Let b(x) = -9*x**3 - 73*x. Determine -4*b(t) - 7*s(t). t**3 + 40*t Let u(n) = 13*n - 5. Let x(a) be the third derivative of -a**4/24 + a**3/6 - 2*a**2 - 24*a. Give -u(l) - 5*x(l). -8*l Let v(r) be the first derivative of -2*r + 115. Let b(f) = -f - 6. What is -2*b(j) + 6*v(j)? 2*j Let f be (-2)/23 + 5424/(-1104) + 11. Let l(y) = 17*y - 5. Let d(x) = 9*x - 3. Calculate f*l(q) - 10*d(q). 12*q Let a(k) = -6*k**3 + 2*k**2 + 4. Let f(o) = -12*o**3 + 3*o**2 + 7. Let s = 952 + -945. Give s*a(r) - 4*f(r). 6*r**3 + 2*r**2 Let f(u) be the second derivative of -u**3/3 + 4*u**2 + 62*u + 1. Let s(i) be the second derivative of i**3/6 - 3*i**2/2 + i. Give -4*f(g) - 11*s(g). -3*g + 1 Let p(y) = -y - 1. Let l(c) = 4*c**2 + 3*c + 4. Suppose 4*a - 5*g + 17 = -4, -2*a + 12 = 2*g. Determine a*l(b) + 3*p(b). 4*b**2 + 1 Let u(c) = -5*c**2 + 3. Let p(z) = 0*z**2 - 90 - 97 - 2*z**2 + 189. Give -7*p(o) + 4*u(o). -6*o**2 - 2 Let g(v) = -v**2 + 1. Let p(i) = -4*i**2 + 2. Suppose k + k - r - 7 = 0, 0 = 6*r + 30. Calculate k*p(y) - g(y). -3*y**2 + 1 Suppose -14*s + 42*s = 28. Let b(i) = -10*i**3 - 8*i**2 - 8*i. Let a(y) = -y**3 - y**2 - y. Determine s*b(w) - 8*a(w). -2*w**3 Let o(y) = -11*y**3 + 17*y**2 + 11*y + 23. Let z(s) = 2*s**3 - 3*s**2 - 2*s - 4. Determine -6*o(b) - 34*z(b). -2*b**3 + 2*b - 2 Let w(u) = -9*u**2 + 6*u - 2. Let k(g) = g**2 - 12*g + 14. Let b be k(10). Let a(n) = -n**2 + n. Calculate b*a(o) + w(o). -3*o**2 - 2 Let b(y) = -10*y**3 - 4*y**2 - 9*y - 5. Let d(v) = -5*v - 2*v**2 - 5*v**3 + 18 - 46 + 25. Determine 3*b(p) - 5*d(p). -5*p**3 - 2*p**2 - 2*p Let g(i) = -4*i**3 + 2*i**2 + 6*i + 8. Let v(r) = 6*r**3 - 5*r**2 - r - 1. Let z(w) = 7*w**3 - 6*w**2 - w - 1. Let x(q) = -6*v(q) + 5*z(q). Give g(p) - 6*x(p). 2*p**3 + 2*p**2 + 2 Let g(u) = 7*u**2 - 8*u. Let k(o) = 3*o**2 - 4*o. Suppose 25 = 3*x + 2*x. Give x*k(b) - 2*g(b). b**2 - 4*b Let u(j) = j + 3. Let g(z) = -8*z - 25. Suppose 0 = -d, 3*d = -3*c - 0*d + 153. Calculate c*u(w) + 6*g(w). 3*w + 3 Let g(w) = 9*w + 151. Let u be g(-16). Let b(f) = -f**2 + 7. Let l(m) = 2*m**2 - 22. Calculate u*b(s) + 2*l(s). -3*s**2 + 5 Let h(z) = -9*z**3 + 50*z**2 - 4*z - 2. Let l(g) = 19*g**3 - 101*g**2 + 9*g + 4. Give 9*h(s) + 4*l(s). -5*s**3 + 46*s**2 - 2 Let f(x) = -3*x - 3*x + 5*x + 1892 - 1893. Let p(s) = -12*s - 10. What is 40*f(o) - 4*p(o)? 8*o Let s(k) = -4*k + 5. Let j(n) = n + 1. Determine 2*j(h) + s(h). -2*h + 7 Let t(v) = -3*v**3 + 5*v + 8. Let w(g) = -3*g**3 + 4*g + 7. Let c be 18/27*(-12)/2. Let z be c/(-3)*210/56. Determine z*t(l) - 6*w(l). 3*l**3 + l - 2 Let m(t) = 13*t**2. Let p(k) be the first derivative of -4*k**3 + 343. Determine -3*m(i) - 4*p(i). 9*i**2 Let p be 14/6 - (-2)/(-6). Let c(g) = p + 0*g - 4 - g. Let t(r) = -1167 + 1794 - 628 - r. Calculate 3*c(s) - 5*t(s). 2*s - 1 Let h(s) = 6*s**2 - 7*s - 7. Let o(i) = -5*i**2 + 5 + 8*i + 3 - 2*i**2. Suppose 7*p - 16 = 3*p. Suppose 3*c - 8 + 0 = p*d, -c + 11 = -3*d. Give d*o(v) - 6*h(v). -v**2 + 2*v + 2 Let s(x) = -2*x**2 + 3*x + 3. Let v(w) = -6*w**2 + 10*w + 8. What is -14*s(u) + 5*v(u)? -2*u**2 + 8*u - 2 Let c = 8 + 2. Let p = -8 + c. Let q(d) = 4*d**2 + 2*d - 4. Let b(h) be the third derivative of -h**5/60 - h**4/24 + h**3/6 - 5*h**2. Give p*b(z) + q(z). 2*z**2 - 2 Let o(a) = 661*a**3 - 6*a**2 - 6*a - 6. Let q(l) = 1319*l**3 - 13*l**2 - 13*l - 13. What is -13*o(d) + 6*q(d)? -679*d**3 Let c(f) = -30*f - 25. Let b(y) be the first derivative of -y**2/2 - y - 481. Determine 75*b(o) - 3*c(o). 15*o Suppose -35*q = -145 + 250. Let f(u) = -2*u**2 + 2*u - 5. Let l(m) = -2*m**2 + 3*m - 6. What is q*f(a) + 2*l(a)? 2*a**2 + 3 Let k(s) = -4*s + 5. Suppose -3*x + 16 = x. Let t(r) = -3*r - 2*r + 25 - 21 + 2*r. Give x*k(m) - 5*t(m). -m Let c be 2 + (-395)/6 + 10/(-60). Let p = c - -58. Let i(n) = -6*n**2 - 2*n. Let l(t) = 7*t**2 + 2*t. Suppose 0 = 3*m + 2*m + 25. Determine m*l(d) + p*i(d). d**2 + 2*d Let n(p) = 3136 + 7*p - 3136. Let c(r) = -120*r. Determine 6*c(l) + 104*n(l). 8*l Suppose -27*l = 7*l + 68. Let q(i) = 3*i**3 + i**2 + 2*i - 1. Let t(u) = u**3 + u**2 + u - 1. Determine l*q(v) + 2*t(v). -4*v**3 - 2*v Let w(h) = -8*h - 5. Suppose 3*q - 15 = -3*i, -12 = -2*q - 0*q - 3*i. Let p be q + (-8 + -2)/1. Let v(x) = 15*x - 40*x - 6 + 16*x. What is p*w(g) + 6*v(g)? 2*g - 1 Let k be (-232)/32 + (-2)/(-8). Let b be k/14*(-2 + 4 + 0). Let u(m) = 2*m - 1. Let z(x) = x. Give b*u(q) + 4*z(q). 2*q + 1 Let n(c) = c. Let s = -2651/6 - -442. Let l(y) be the second derivative of 1/2*y**2 + 0 - 5*y + s*y**3. Calculate -2*l(d) + n(d). -d - 2 Let g(o) = o**3 - 2*o**2 + 4*o + 1. Let x be -8 + 1 + 25/5. Let l(z) = -z**3 - z**2 + z + 1. Determine x*l(q) + g(q). 3*q**3 + 2*q - 1 Let r(u) = -53*u**2 - 10. Let g(l) = -53*l**2 - 8. Calculate 5*g(v) - 4*r(v). -53*v**2 Let n(w) = w - 11. Let j be n(9). Let r(a) = 10*a**2 + 4*a + 21. Let y be ((-17)/17)/((-4)/(-44)). Let u(s) = -2*s**2 - s - 4. Give j*r(l) + y*u(l). 2*l**2 + 3*l + 2 Suppose 12*r + 49 - 25 = 0. Let x(p) = -154*p**3 - 35*p**2 - 35*p. Let s(g) = 9*g**3 + 2*g**2 + 2*g. Give r*x(u) - 35*s(u). -7*u**3 Suppose o - 2 = 7. Let q(n) = -6*n - 6. Let k(j) = -13*j - 13. Determine o*q(v) - 4*k(v). -2*v - 2 Let l(h) = 8*h**3 - 3*h**2 + 3*h. Let v(k) be the second derivative of -13*k**5/4 + 25*k**4/12 - 25*k**3/6 + 175*k. Give -25*l(u) - 3*v(u). -5*u**3 Suppose 0 = -2*d + v - 8, -d - 22 = -v - 17. Let a(w) = 7*w**2 - 2*w**2 - 5 - 3*w**3 + 2*w**3. Let z(r) = r**3 - r**2 + 1. Calculate d*z(p) - a(p). -2*p**3 - 2*p**2 + 2 Let r(k) = -k**3 - 612*k**2 + 2*k - 2. Let w(x) = -x**3 - x**2 + x - 1. Give -r(z) + 2*w(z). -z**3 + 610*z**2 Let g(t) = 2*t**3 - t - 2. Let n(j) = -10*j**3 + j**2 + 4*j + 13. Give -6*g(v) - n(v). -2*v**3 - v**2 + 2*v - 1
Let v be 69 + (0 - (2 - 3)). Let h be (15/v)/((-6)/(-8)). Let o be 21/(-12) - 2/(-1). Sort -1/4, h, o in decreasing order. h, o, -1/4 Suppose 0 = -2*c - c. Suppose -5 + 40 = -7*t. Put t, 2, c in ascending order. t, c, 2 Let l(i) = 2*i - 4. Let b = 7 - 4. Let j be l(b). Sort -3, j, 0 in descending order. j, 0, -3 Let l = 11 + -11.9. Let b = 1374/5 + -275. Sort 2, b, l in ascending order. l, b, 2 Let o = 73 + -72.8. Let z = 32 + -49. Let l = z + 33/2. Sort o, l, -2 in descending order. o, l, -2 Let o be 8 + (-1 + 3)*(-45)/30. Sort 4, o, -10. -10, 4, o Let x = -39 - -37. Let q be ((-4)/6)/(3/18). Suppose -8 = i - 3*i. Put x, q, i in decreasing order. i, x, q Suppose -4 = -4*u + x + 3*x, -u - 17 = 5*x. Let q be (0 - 1)/(2/10). Sort u, 2, q in increasing order. q, u, 2 Let a = 16 - 6. Let z be 17/a - 6/4. Put -4, 4/7, z in descending order. 4/7, z, -4 Let i = -40 - -36. Put -0.1, i, 4 in increasing order. i, -0.1, 4 Let h = -11 + 8. Let n = 1 - -4. Sort h, n, 2 in descending order. n, 2, h Suppose 2*y = -3*k - 26, -3*y - 16 = y. Let p be k/(-21)*14/30. Let s = 380/7 + -54. Sort s, p, 1. p, s, 1 Let p = -3 - -2. Let y = 50 + -49. Let m be (3 - 1)*2/18. Put p, y, m in decreasing order. y, m, p Let b(d) = d + 12. Let j be b(0). Suppose 5*n = -v - 4, -5*n - 3*v + 0 = j. Sort 4, -1, n. -1, n, 4 Let x = 0.94 - 1.24. Put 1/2, x, 6, -1/7 in ascending order. x, -1/7, 1/2, 6 Let u be (3/3 - 0)*2. Let p be -3 + (0 + u - 4). Sort p, 5, -3 in increasing order. p, -3, 5 Let i = -0.3 + 0.2. Let p = -168 - -161.3. Let s = p - -7. Sort i, s, -3 in increasing order. -3, i, s Let z = -126.3 - -126. Sort -2, z, 0.04 in decreasing order. 0.04, z, -2 Let a = 3.7 + -4. Sort -4, a, 0.4 in ascending order. -4, a, 0.4 Suppose 5*z + 2*g - 47 = 0, 4*g + 6 = z + 1. Put 0, -3, z in decreasing order. z, 0, -3 Suppose 0 = 4*q - 20. Sort q, -3, 4 in ascending order. -3, 4, q Let a be 2/8 + 6/8. Let i be (a/4)/(7/(-4)). Put i, 4/7, -2/13 in decreasing order. 4/7, i, -2/13 Suppose -5*s - 29 = -2*j, -4*s - 6 = -2*j + 18. Let m be 3/((-3 + 0)/3 - 0). Put m, j, 5 in decreasing order. 5, j, m Let d = -8 + 12. Suppose 3*v = -z + 15, d = 4*z - v + 9. Let j be (-2 - z)*(-2)/24. Sort j, -3/4, -2 in ascending order. -2, -3/4, j Suppose 3*o + z = -7, 2*z + z = 3*o - 9. Put -4, o, 4 in descending order. 4, o, -4 Let m = 5/6 + -1/2. Let l = 2 - 2.2. Put m, 0.3, l in descending order. m, 0.3, l Let k = 12 + -9. Suppose 2*n = -4*q + 6, -k*n = -5*q + 19 + 16. Sort 3, n, 3/4 in decreasing order. 3, 3/4, n Let n be 3/((-42)/(-74)) - 4/14. Let i = 2 - 2. Put -3, n, i in descending order. n, i, -3 Let z = -191 + 186.98. Let y = 0.02 + z. Sort -3, -0.1, y in ascending order. y, -3, -0.1 Let u(j) = -3*j - 4. Let l be u(-3). Sort -0.1, l, -3. -3, -0.1, l Suppose 5*f - 4*p + 0*p - 6 = 0, 2*f = 4*p. Let s be (f/1)/(2 + 0). Suppose -4*r + c = -7, 2*r - 6 = -0*r - 2*c. Put r, -1, s in increasing order. -1, s, r Let k = -0.11 - -1.41. Let n = -0.8 + k. Let a = n - 0. Sort -3, a, -0.5 in ascending order. -3, -0.5, a Suppose 16 = -4*n + 3*l, n + 4 = -0*n + 3*l. Let y be (15/(-10))/((-3)/n). Put y, 0, -4 in descending order. 0, y, -4 Suppose -4*i = 3*n + 11, -3*n + 6*i + 3 = 3*i. Sort 3, 1, n, 4 in ascending order. n, 1, 3, 4 Let w be ((-58)/4)/((-10)/(-8)). Let i = w - -11. Put -1/4, 2, i in decreasing order. 2, -1/4, i Let p(x) = -x**2 - 3*x - 6. Let a be p(-2). Sort 5, a, -3 in descending order. 5, -3, a Suppose 2*s = 4*c - 3*s - 45, 0 = 3*c + 5*s - 60. Suppose -2*f + o - c = -2*o, -o = -4*f - 5. Let q = -5 + 7. Sort -3, q, f in decreasing order. q, f, -3 Suppose 3*k + 2*r - 11 = 0, -2*r = -5*k - 5*r + 18. Suppose 0*y + 9 = y - 3*x, 0 = 3*x + 9. Sort k, y, -2 in ascending order. -2, y, k Let f = -1/4 + 11/4. Sort 5, -1, f in ascending order. -1, f, 5 Let y(v) = -v**3 + 7*v**2 - 5*v - 6. Let c be y(6). Suppose -25 = n - 26. Put 5, c, n in descending order. 5, n, c Let t be 15/22 - 5/10. Let r = 0.8 + -0.3. Let c = r - 0.8. Sort -5, t, c. -5, c, t Let l = 32.8 - 33. Put l, -0.05, -3/7 in ascending order. -3/7, l, -0.05 Let m = 0 + 5. Sort m, 2, -5, 0 in descending order. m, 2, 0, -5 Suppose 2*y + 4 = 2*v, -2*y + 3*v = 6*v - 21. Put -1, y, 2 in ascending order. -1, 2, y Suppose 0 = 5*r + 4*y - 21, 3*r = -r + 3*y + 23. Let d be -1*0/((-3)/3). Put r, d, -4 in decreasing order. r, d, -4 Let w(v) = v**2 - 5*v + 2. Let o be w(2). Let p be (-27)/18*o/(-3). Sort 1, p, 0.1 in descending order. 1, 0.1, p Let l be (-15 + 0)*3/(-9). Let z(w) = w**3 + 8*w**2 - w - 4. Let o be z(-8). Suppose -3*c - 32 = 5*i, 4*c - 8*i = -o*i. Put -2, c, l in decreasing order. l, -2, c Let f = 13/36 + -10/9. Put f, 1/3, 2/9 in decreasing order. 1/3, 2/9, f Let r be (-4 - 2)*(-12)/(-2). Let t be (-2)/(-9) - 10/r. Let m = 0.1 + -0.3. Sort m, 0, t in decreasing order. t, 0, m Suppose -m + 4*m = 0. Suppose 0*s + s = m. Let o = 5.3 + -1.3. Put -4, s, o in decreasing order. o, s, -4 Suppose 2*v = -2*v - 8. Let f = -20.3 + 20. Sort f, 0.2, v in increasing order. v, f, 0.2 Let x = 47 - 42. Suppose -5*l - 5*q - 3 - 2 = 0, 5*l = 5*q + 25. Sort x, -2, l. -2, l, x Let n(a) = a - 5. Let d be n(8). Sort d, 0.5, 4 in decreasing order. 4, d, 0.5 Let p be 60/(-80) - -13*2/(-8). Put -2, p, -3, 1 in decreasing order. 1, -2, -3, p Let a = 69.97 + -70. Sort 0.2, a, 2/7 in decreasing order. 2/7, 0.2, a Suppose u = -l, 2*u = -3*l + 2*l - 4. Put l, -18, 2 in decreasing order. l, 2, -18 Suppose 0 = -7*h + 2*h - 15. Let u(p) = -p**2 - 8*p - 7. Suppose -5*y = -8*y - 21. Let n be u(y). Sort h, n, 4 in descending order. 4, n, h Let l be 1*(-1 - 0)*1. Suppose 3*h + h = 4*v + 16, v - 2 = -5*h. Sort 2, v, l in decreasing order. 2, l, v Let j = 8.1 + -8. Sort j, -1/3, -3 in ascending order. -3, -1/3, j Let j = 5 + -3. Suppose -5*y + 10 = 2*b, -11 = -3*y + 4*y + 3*b. Put -1, y, j in decreasing order. y, j, -1 Suppose -2*j = 39 - 49. Sort -1, j, 1 in ascending order. -1, 1, j Let q = -8 + 7.99. Let k = 0.01 + q. Put k, -3, 1/3 in increasing order. -3, k, 1/3 Let f be (-27)/(-36) - 15/12. Put f, 5, -28 in ascending order. -28, f, 5 Let z = -51/2 + 25. Let r be -3 + (-42)/(-9) + -3. Sort z, 0.2, r in increasing order. r, z, 0.2 Suppose 0*w + 32 = 4*w. Put 3, w, -1 in descending order. w, 3, -1 Let f(s) = -s - 9. Let r be f(-10). Sort r, 2, -3 in decreasing order. 2, r, -3 Suppose 2*v - 4 = -6. Let l be (-8)/(-6)*(-9)/(-6). Let g be -3*(4 - 2)/l. Sort 4, v, g. g, v, 4 Let o(d) = -d**3 - 7*d**2 - 6*d - 2. Let v be o(-6). Let y = v - 0. Suppose 2*x + 10 + 9 = -5*a, x + 17 = -4*a. Sort y, a, -1 in ascending order. a, y, -1 Suppose -o = -2*l + 6, -3*l + 3*o + 13 = -2. Sort l, 5, -1. -1, l, 5 Let k = 46 - 49. Let h be 2/(-10) + (-4)/5. Put h, 5, k in decreasing order. 5, h, k Let b(f) be the first derivative of f**3/3 - 9*f**2/2 - f + 1. Let k be b(9). Let y = 0 - k. Put y, -5, -3 in descending order. y, -3, -5 Let a = 4 - 6. Suppose 5 = z - 0. Let h be 2/(-2)*1/z. Sort h, -2/3, a in descending order. h, -2/3, a Let f = 3 - 2. Let w = 7 + -12. Let u = w + f. Sort -5, 0, u in decreasing order. 0, u, -5 Let j = 0.2 - -0.8. Let y = 0.09 + 0.91. Let o = y - 3. Sort o, j, 2/15 in increasing order. o, 2/15, j Let t = 0.061 + 3.939. Sort t, -3/5, -5 in descending order. t, -3/5, -5 Suppose 20 = -4*q, -2*q - 16 = 2*p + 4. Let w = -10 + 8. Put 0, w, p in descending order. 0, w, p Let g be ((-50)/(-4))/(-5)*2. Put -4, g, 1 in decreasing order. 1, -4, g Let s = -1 - -1.7. Let u = s - 0.4. Let c = -1 - 2. Sort u, c, 1/2. c, u, 1/2 Let v(d) = -d - 1. Let h be v(-5). Sort 1, h, 0 in ascending order. 0, 1, h Let p be -2*(-15)/(-18) + (-3)/(-1). Sort 0.3, p, -0.4 in descending order. p, 0.3, -0.4 Let b(r) = -r + 10. Let i be b(5). Put 1, -11, i in ascending order. -11, 1, i Let r = 1102/65 - 210/13. Sort 5, r, -5 in decreasing order. 5, r, -5 Let a(m) = 3*m**2 + 2 + m + 0*m**3 + 0*m**3 + 2*m**3. Let g be a(-2). Sort -1, 4, g in descending order. 4, -1, g Let u be (-78)/(-135) + 16/72. Sort 7, -0.3, u in increasing order. -0.3, u, 7 Let h = -5 + 1. Let g = -12 - -12. Let u = -3 + g. Put 4, u, h in ascending order. h, u, 4 Let j = -5 - -4.4. Let u = -0.4 + j. Let m = -3.5 + -0.5. Sort 0.3, m, u. m, u, 0.3 Let f = 259 - 230.2. Let u = 29 - f. Put -0.5, u, -5 in descending order. u, -0.5, -5 Let x(l) = -l. Let z be x(1). Let s = -1 + -3. Sort 2, s, z in descending order. 2, z, s Let m(i) = i**2 + 12*i - 28. Let s be m(-14). Suppose 0 = 5*j + 12 + 8. Put s, 7, j in descending order. 7, s, j
What is the closest to -2 in 799, -1/15, -9? -1/15 Which is the closest to -23.9? (a) -2 (b) 2/9 (c) 71 (d) 4/9 a What is the closest to 1 in -3/16, -2/21, -3, 1? 1 What is the closest to 0.1 in 1/4, 469, -0.9? 1/4 What is the closest to -2/5 in 138/13, 0.05, -0.3, -4? -0.3 What is the nearest to -1/4 in 0.09, 228, 4? 0.09 What is the closest to 9 in -0.2, 3/5, 0.03, -5, 1/8? 3/5 What is the nearest to -1 in -139, -3, -0.4, 765, 2/7? -0.4 Which is the nearest to -3/2? (a) -4 (b) -3/4 (c) 4/9 (d) 4 b What is the closest to 2/9 in -2045, 1/2, 0.1? 0.1 What is the closest to -8 in 0.053118, -2, 3? -2 Which is the closest to 10/3? (a) -1824 (b) 1/7 (c) -2 b What is the nearest to -1 in -10.461, -4, -2? -2 What is the nearest to 0 in 0.2, -1, -2, -10, -37? 0.2 Which is the closest to 13? (a) 5 (b) -4/3 (c) 0.812 a Which is the closest to 0.5? (a) -51 (b) 0 (c) 2 (d) -0.2 (e) 4 b What is the closest to -57/7 in -0.03, 5, -0.1, -5? -5 Which is the nearest to 37? (a) 2/7 (b) -10/299 (c) 5 c Which is the nearest to -2? (a) 4/11 (b) 274 (c) 4 a What is the nearest to 671 in 41/21, 2, 0.2, -2/5? 2 Which is the nearest to 118? (a) -0.4 (b) 35 (c) -5/2 (d) 5 (e) -12 b Which is the nearest to 7? (a) 2/15 (b) 149 (c) 5 c What is the closest to -95 in -3.3, -0.1, 3? -3.3 Which is the closest to 2084? (a) 0.4 (b) -1/2 (c) -5 (d) 1/7 a Which is the closest to 32.1? (a) 0.1 (b) -0.03 (c) 2 (d) -3 c Which is the closest to 3? (a) 4 (b) -2 (c) -24 (d) 0 a What is the nearest to -105/8 in 2/3, 0, 3, 8? 0 What is the closest to -4/15 in -1, -3, -693? -1 What is the nearest to 1 in -38, 4, 2/29? 2/29 What is the closest to 1 in 4/9, -12, -22.53, -2? 4/9 What is the closest to 2/5 in 74, -2/9, -2/13, -5, 5? -2/13 Which is the nearest to -1/3? (a) -0.4 (b) 4 (c) -0.1 (d) 3 (e) -1824 a Which is the nearest to 2/3? (a) -6/77 (b) -0.4 (c) 0.4 (d) 0.09 c Which is the nearest to -2/5? (a) -4/5 (b) 18 (c) 0.3 (d) 2/1009 a What is the closest to 0.06 in 1/3, -2/17, 2/17, 113/2, 0.3? 2/17 What is the nearest to -3 in 1, -0.3, -36, -4/15? -0.3 Which is the closest to 1/10? (a) -3/2 (b) 1032 (c) -1/5 c What is the nearest to -72 in 0.1, 1/3, -60, -23? -60 Which is the nearest to -1739/3? (a) 1 (b) -3/2 (c) -32 c Which is the nearest to -2/53? (a) -2 (b) -7 (c) -4 (d) -6/19 d What is the nearest to 0.011 in 0.4, 8, -17/4, 3? 0.4 Which is the nearest to 0? (a) -393 (b) 0 (c) 2/9 b Which is the nearest to 0.1? (a) 12.9 (b) -0.2 (c) 106 b What is the closest to 1 in -0.1, 45/2, -105, -1? -0.1 What is the nearest to -9 in -1/9, 1/3, -2/13, -31? -2/13 Which is the closest to 1/4? (a) 3 (b) 420 (c) -5 (d) 1 d Which is the nearest to -2/3? (a) 114 (b) -13 (c) 0 (d) 1/2 c Which is the nearest to -2/19253? (a) -1 (b) 3 (c) -2/11 (d) -2/17 (e) -2 d What is the nearest to -2/5 in -4/7, 361/3, -1/5, -1/4? -1/4 What is the nearest to -2/3 in 3/5, 1/14, -2/13, -11, 538? -2/13 What is the closest to 1 in 13, -7, -1.084? -1.084 Which is the nearest to 1/56? (a) -0.72 (b) -0.1 (c) -7 b Which is the nearest to -0.2? (a) 14 (b) -0.5 (c) -0.4 (d) 271 (e) 3/5 c Which is the nearest to 0.2? (a) 58 (b) 209 (c) 8 c Which is the nearest to 0.1? (a) -6 (b) -0.072 (c) -11/9 b Which is the closest to 3? (a) -0.89 (b) 0.5 (c) -11 b What is the closest to 7.6 in -0.4, 73/7, 3? 73/7 Which is the nearest to -0.1? (a) 3 (b) 0.111 (c) 2/85 (d) 0 d Which is the closest to -1/8? (a) -2/19 (b) 4 (c) -6 (d) -3/5 (e) 0.5 a Which is the closest to 0.1? (a) 2 (b) 5 (c) -244 (d) -43 (e) -2/7 e What is the nearest to -5 in 70, -1014, -1/5? -1/5 Which is the nearest to -38? (a) 9 (b) 2/9 (c) 195 (d) -1/5 d Which is the closest to 1? (a) -4 (b) 2/15 (c) -3.6 (d) 5 b Which is the closest to 0? (a) 3/7 (b) -2/21 (c) -89887 (d) 4 b What is the nearest to -1 in 1, 10, -1762? 1 What is the nearest to -2.44 in 17, 0, 8? 0 What is the nearest to 0.2 in -1/47, 3, -4, 1/2? -1/47 Which is the nearest to 3? (a) -0.9 (b) -112 (c) 2 c What is the nearest to 0.18 in 0.2, 106, -0.1, -2? 0.2 Which is the closest to 0.2? (a) 3/16 (b) 2 (c) -236 a Which is the nearest to 34/43? (a) -26 (b) -1 (c) -0.4 (d) -0.1 d Which is the closest to -0.68? (a) 1/11 (b) -4 (c) 102 (d) -0.3 d Which is the closest to -2? (a) 11/64 (b) 2/11 (c) -4 (d) 0.3 (e) 0.4 c What is the nearest to -2/19 in 1, -1, 165, 44? -1 What is the closest to -2314 in 0.1, 2/7, -104, -1? -104 Which is the closest to 21? (a) -0.01 (b) -4/9 (c) -4 (d) -0.5 (e) 4 e What is the nearest to 0.07 in -2, -3, 155? -2 Which is the nearest to 33? (a) -18/7 (b) 14 (c) -0.3 b Which is the nearest to 0.1? (a) 2.4 (b) 3 (c) 6 (d) -30 (e) 0.2 e Which is the nearest to -1? (a) 0.1 (b) 2/9 (c) 39 (d) -3/7 (e) 53/5 d What is the nearest to -70/11 in 1/3, 2/15, -0.2? -0.2 Which is the nearest to -1? (a) 0.4 (b) -15 (c) 166 (d) -3/8 d Which is the closest to 0.047? (a) 5/7 (b) -7.6 (c) -3 a What is the nearest to 1 in 7, 3/46, -2, 3/7, -0.5? 3/7 What is the closest to -52/31 in -0.3, 0.2, -3/4, -6/11? -3/4 Which is the closest to -58? (a) 18 (b) 5 (c) 0.04 c Which is the nearest to 4? (a) -0.2 (b) 0.11389 (c) 3 c What is the closest to 2 in -28, 5, 3/58? 3/58 What is the nearest to -2/3 in 1/4, 0.3, 7/2, 4? 1/4 What is the nearest to -1 in 2/11, -1, -0.0044? -1 Which is the nearest to -9/7? (a) -3 (b) 9/11 (c) -8 a What is the nearest to -1 in 0, -3, -0.5, -222? -0.5 Which is the closest to 1? (a) 0.0338 (b) -4/5 (c) 5/7 c What is the nearest to 2 in 1, -16, 331? 1 What is the closest to -1 in -4, 23, 2/5, -3? 2/5 Which is the closest to -30? (a) 3 (b) 1 (c) -1/7 (d) 5/4 (e) 1502 c What is the nearest to -1375 in -11, -2/13, 5? -11 What is the closest to -29458 in 3, -0.1, -5? -5 What is the closest to 0.114 in -31, 24/5, 0.1? 0.1 Which is the closest to -9? (a) -0.1 (b) 25 (c) -21 a Which is the nearest to -1? (a) 0.6 (b) -276 (c) -3/2 (d) 30 c Which is the closest to 2? (a) -0.03 (b) 2/7 (c) -2/9 (d) 95 b What is the nearest to 1 in 0.023, -111, -3, 0.5? 0.5 Which is the nearest to 1? (a) 12 (b) -17 (c) -3.54 (d) 0.2 (e) 0.1 d What is the nearest to -4.44 in 3, 1, -11/3? -11/3 What is the closest to -5 in -0.5, -2/3, 6/65, -2/7, 4? -2/3 What is the nearest to 1 in 2/35, 4, 2/5, 2, 43? 2/5 Which is the closest to -15? (a) -6 (b) 1 (c) 2/87 (d) 0 a What is the nearest to 10 in -1/4, -2/9, 2/5, -494? 2/5 What is the nearest to -0.1 in -28, 3/7, 25? 3/7 What is the nearest to -313 in -1/4, 103, -0.4? -0.4 What is the nearest to -0.32 in 5, 4, -0.09, -2/25? -0.09 Which is the closest to -0.2? (a) -20 (b) 2 (c) 1/6 (d) -2 (e) -13 c Which is the closest to -1/3? (a) 2 (b) 151 (c) -0.27 (d) 0.5 (e) -2 c What is the closest to -2/5 in 11.7, -2, -5? -2 Which is the closest to -1/3? (a) -42 (b) 0.4 (c) -37 (d) 8 (e) 1 b Which is the closest to 3213? (a) -5 (b) -0.1 (c) 0 (d) -3/7 (e) 2 e Which is the nearest to -0.2? (a) -2/23 (b) 223 (c) 4 a Which is the closest to 0.2? (a) 26 (b) -0.018 (c) 8/9 b Which is the closest to -14? (a) 5/8 (b) 1 (c) 0 (d) 6 (e) -6 e What is the nearest to -3133 in -3, -4, -1? -4 What is the closest to 0 in -0.5, -0.4, -0.0448, 2/3? -0.0448 Which is the closest to 4? (a) -1/4 (b) -14.87 (c) 1.2 c Which is the closest to 92? (a) 2/17 (b) -0.2 (c) -0.8 a What is the closest to -1/22 in -1, 17, 9/2? -1 Which is the closest to 1/18? (a) -1/11 (b) 16 (c) -10/9 a What is the closest to -1.9 in -0.5, -38, 3? -0.5 What is the nearest to -11/19 in 3, -1/4, -0.4, 0.2, 4? -0.4 Which is the closest to 1? (a) -321/85 (b) -5 (c) -1 c Which is the closest to 0.3? (a) 5 (b) 33/7 (c) 16/47 c Which is the closest to -3? (a) -2 (b) -2/3 (c) 1.9 (d) 13 a What is the closest to 16179 in -1, -3, 11/6? 11/6 What is the closest to -0.1 in 156, -0.114, 0.3? -0.114 Which is the nearest to 4? (a) 52 (b) -0.11 (c) -14 b Which is the closest to -1? (a) 4/15 (b) 1 (c) -2149.2 a Which is the closest to 0.3? (a) -0.04 (b) -115 (c) 4 (d) -3 (e) 0 e Which is the nearest to -0.2? (a) 0.11 (b) -15 (c) 3/5 (d) -1/2 d What is the nearest to -11 in -3, -3/2, 10/9, -7? -7 Which is the closest to -1? (a) -5 (b) 0 (c) -3/7 (d) -1.69 c Which is the closest to 1/2? (a) 1 (b) -1.5 (c) -8 (d) -103 a Which is the nearest to -4? (a) 1 (b) 6 (c) 0.3 (d) -4 (e) 5 d Which is the nearest to 0.23? (a) 0.5 (b) 1/149 (c) -5 (d) 2 b
Let j be (-2 - (-32)/12)*3. Solve 5*i + 3 = -j for i. -1 Let n = -21 + 14. Let o be (-33)/(-1)*n/(-21). Solve -o = -4*p + 5 for p. 4 Let t = -25 - -12. Let a = t - -15. Solve a*b = 4*b - 8 for b. 4 Let c be (-4)/(-6)*-3*-4. Let v be -2*2/(-2) - 0. Suppose 5*p - c = 4*i, -2*p + 3*i - i + v = 0. Solve o + 1 + p = 0 for o. -5 Suppose 2*z - 2 = 2. Solve -k = k + z for k. -1 Suppose 3*u - 1 + 20 = 2*d, -d - 3*u - 4 = 0. Solve 4*m - d = -m for m. 1 Let y = -8 - -10. Solve 0 = -3*s - 1 - y for s. -1 Suppose 4*t - g + 2*g = 3, 5 = -5*t - 3*g. Suppose 2*m = m - 4*s - t, 5*m + s - 9 = 0. Let h = 4 + -2. Solve m*f - 8 = -h for f. 3 Suppose 4*y + 5*m = 3*y + 13, 2*m = -4*y + 16. Suppose -y*l = -3*b - 5*l + 40, 5*l = 5*b - 75. Solve 4*a - 2 - b = 0 for a. 4 Suppose 2*x + 0*g - 6 = g, -x = 2*g - 13. Solve 2*h - x = -1 for h. 2 Suppose 0 = 56*n - 57*n + 6. Solve -9 = 3*d - n*d for d. 3 Let t(w) = w**2 + 3*w. Let v be t(-3). Suppose v*u = -u + 2. Let q be (u + -2)*(-2)/2. Solve 3*i = -q*i + 15 for i. 5 Suppose -4*x = k - 20, 2*x - 3*k = -4*k + 10. Suppose 0 = 3*h - 0 + 6. Let p = x - h. Solve 4*f + 15 = p*f for f. 5 Let s be 10*(4 + -6)/(-2). Suppose -s + 18 = 2*w. Solve -r = -w*r for r. 0 Suppose 21 = 3*w - 6*w. Let h = w - -11. Let g = 9 - h. Solve r + g = -0*r for r. -5 Suppose 2 = z - 2. Solve 1 = -z*x + 9 for x. 2 Let x(t) = -t**3 + 8*t**2 - t + 8. Let p be x(8). Let g(z) = -z**2 + 5. Let j be g(p). Solve -2*u = 3*u + j for u. -1 Suppose -4*g + t = -165, 2*g - 2*t + 6*t - 60 = 0. Suppose g = -2*v + 7*v. Solve 2*j + v = -2*j for j. -2 Let q = -4 + 10. Let a = q - 0. Solve 0 = 4*p - a*p for p. 0 Let r be 3 - 6/(-3 - -5). Solve r = 3*s - 0*s - 12 for s. 4 Let f be (-4)/(-5) - (-24)/20. Let b be -2 + (0 - (-3 - -1)). Let q be (-4)/14 + 32/14. Solve f*o + q = -b for o. -1 Let x(c) = -2*c. Let o(q) = -q. Let a(j) = -4*o(j) + 4*x(j). Let f be a(-1). Solve -f*y = -y - 6 for y. 2 Let t(s) = -s**2 + 7*s - 2. Let p = -1 - -2. Suppose -n = -p - 5. Let h be t(n). Solve 29 = 5*c + h for c. 5 Suppose 0 = -2*o + 6, -8 = f - 4*o - 0*o. Solve -5 = 3*j + f for j. -3 Let v be 5 - (-6 + 1 + -5). Solve -14*j + v = -9*j for j. 3 Let s(d) = 3 - 4 - 3 + d. Let a be s(4). Solve 0 = -4*x - a*x for x. 0 Suppose -m - 2*m = -i - 7, 3*i = -m + 9. Solve 0 = -m*l + 7*l - 12 for l. 3 Let q be (-18)/(-63) - (-19)/7. Solve -q*m - 2 = -8 for m. 2 Let k(z) = -z**3 - 9*z**2 - 10*z - 12. Let m be k(-8). Let f be (-4 - -5)*(-1 + m). Solve 0 = 2*p + f*p for p. 0 Let y(l) = -10*l**3 + 2*l**2 - 1. Let g be y(-1). Suppose 3*w = g + 1. Solve -c = c + w for c. -2 Suppose -2*z + 5*z - 6 = 0, -8 = -4*v + 2*z. Suppose -4*n + v = -5. Solve -n*q + 5*q - 12 = 0 for q. 4 Let y = 7 + -4. Let h be 54/(-9)*(-2)/y. Solve -h*z - 3 = -11 for z. 2 Suppose -5 = 2*c - 7. Solve -4 = -n - c for n. 3 Let u be (-14)/(-8) - 36/(-144). Solve -u = s + 1 for s. -3 Let p = 1 - -1. Let r be (0 + (p - -12))/1. Let i = r + -9. Solve -i*b + 9 = -2*b for b. 3 Let d be (-2)/(-9) - (-446)/18. Let x = -5 + d. Let o be 2/3 + x/6. Solve 4*m - 5*m = -o for m. 4 Suppose -12 = -4*j - 3*s, -5*j = -4*s + 6 + 10. Solve -5 = 5*q - j*q for q. -1 Let n = 24 + -24. Solve n = -2*r - 2 - 0 for r. -1 Suppose 4 = -0*g + g. Let n(v) = v**3 - 4*v**2 + v. Let y be n(g). Suppose 6 = 2*h + y*s, -4*h + 3*s = 4*s - 12. Solve -5 = h*u + 1 for u. -2 Let u(k) = -k**3 + 4*k**2 + 2*k - 5. Let b be u(4). Suppose y = b*y + 4*j - 8, 4*y + 5*j = 10. Suppose -2*w = -6 - 2. Solve y = z - w*z - 15 for z. -5 Suppose -20 - 2 = -3*c + 4*t, 3*t = -2*c + 43. Solve 0 = 5*l - 1 - c for l. 3 Let o(b) = b**3 - 2*b**2 - 7*b - 1. Let k be o(4). Solve 4*i + k + 1 = 0 for i. -1 Let n be 3/6*(2 - 32). Let i = 5 - n. Solve -3*j - j = i for j. -5 Let j be (4 + (-24)/8)/(1/16). Solve 2*h - j = -2*h for h. 4 Let s be (-7)/(2*(-1)/2). Solve 0 = 2*q + 1 + s for q. -4 Suppose 0 = -o + 2 + 2. Suppose -o*z = -0*z - 112. Let c be z/6 - 8/12. Solve -5*g = -3*g - c for g. 2 Let h = -7 + 10. Suppose -h*f + 4*f = 0. Solve 3*d - 6 = -f*d for d. 2 Let b(u) = u**2 - 1. Let f be b(-1). Solve -d = -f*d - 4 for d. 4 Suppose d - 3*d = 0. Suppose -4*x + 3*x = d. Suppose m = 3*m - r - 12, -2*r + 8 = x. Solve 0 = 4*u - m*u + 16 for u. 4 Let x(y) = 2*y + 1. Let m(n) = n. Let i(b) = -13*m(b) + 6*x(b). Let s be i(3). Solve -s*h = -h for h. 0 Suppose -4*m + 18 = -m. Let v(n) = n**2 - 10*n + 3. Let l be v(10). Suppose -4*c + 6*b - 3*b + 14 = 0, -4 = -l*c - b. Solve w + m = -c*w for w. -2 Suppose 0*c = 5*c. Let l = 0 + 4. Suppose -b = 1 - l. Solve 0 = -c*u + 3*u + b for u. -1 Suppose 3 = -5*i + 18. Solve -4 - 5 = -i*t for t. 3 Let b(n) = n**2 - 8*n + 5. Suppose j = 0, 2*h + 2*h + j - 32 = 0. Let s be b(h). Let p be -2*s/(-4)*10. Solve -4*v - p = v for v. -5 Let x(n) be the second derivative of -n**5/20 + 7*n**4/12 + n**3/6 + 2*n**2 + n. Let k be x(7). Solve 9 = 5*b - k for b. 4 Let y = -55 + 55. Solve y = -4*p - 0*p for p. 0 Let i(g) = -3*g + 1. Suppose -b = 4*t - 0*t + 8, -t = 4*b + 2. Let h be i(t). Suppose 0 = 3*n - h - 23. Solve -l = -6*l + n for l. 2 Let y be (15/(-5))/(6/(-4)). Solve -y = -b - 6 for b. -4 Let x = 2 + -2. Solve -4*j = -x*j + 12 for j. -3 Let y(p) be the first derivative of -p**3/3 + 3*p - 2. Let u be y(0). Suppose 0 = -u*x - 2*w + 11, 2*x - 8 = x - 5*w. Solve 5*g + 2 = -x for g. -1 Let f(v) = -v**3 - 7*v**2 - 8*v + 12. Let c be f(-5). Solve 4 = -c*a + 4*a for a. 2 Let w = 9 - 7. Suppose w*p - p = 18. Let h = p - 12. Solve -2*z - h = z for z. -2 Let b be (-26)/65 + 12/5. Solve 3*w + b = 8 for w. 2 Let x be -3 + (-2 - -1)/((-2)/14). Solve -5*t = x + 11 for t. -3 Let y be 5 + -1 - (-8)/(-48)*0. Suppose t + 3 = 2*t. Solve y = -m + t for m. -1 Suppose 2*m + j = 4*j - 15, -2*m - 2*j = 0. Let y = m + 6. Let l be (-9)/(-3) + (2 - 1)/1. Solve -x + l = -y*x for x. -2 Let i = 46 - 76. Let m be (3/(-2))/((-5)/i). Let z be m*((-15)/9 + 0). Solve -6*x - z = -x for x. -3 Let c(i) = i + 6. Let y be 9 + 0/(-1) + -1. Suppose 4 = -2*b - y. Let h be c(b). Solve h = 2*j + 2 for j. -1 Suppose 2*h + 3*q = 3, -3*h - 2*q + 0*q + 7 = 0. Let x(b) = -8*b. Let n be x(-1). Solve i + n = -h*i for i. -2 Let w(l) = 7*l**2 + l - 1. Let z(b) = b**2 + b + 1. Let j(n) = -w(n) + 6*z(n). Let x be j(7). Let u = x - -12. Solve 0 = 4*y - 3*y - u for y. 5 Suppose 3*n + 3*t = 0, -3*n + 5*n + 4*t + 4 = 0. Solve n*s = 5*s - 9 for s. 3 Suppose 3*x - 4*t - 21 = 0, -4*x - 4*t = -2*x + 6. Let i = x + 2. Let u be (2/(-2))/((-1)/i). Solve 4*a - u*a - 3 = 0 for a. -3 Let w(p) = p**2 + 7*p + 6. Suppose -2*h - 10 = 2. Let z be w(h). Solve 2 = -2*u - z for u. -1 Suppose -5*u = -u - 32. Let n = u + -4. Solve 0 = -3*j - n - 5 for j. -3 Suppose -3*n + 2 = -2*f - 8, 4*n + 5*f = -25. Suppose n = -m - 1 + 3. Solve -m*q = -q - 5 for q. 5 Let l = -35 - -49. Let z be 4/14 + 24/l. Let i(u) = -u**3 + 3*u**2 - 2*u + 3. Let n be i(z). Solve -3*f = -2*f - n for f. 3 Suppose 3*u - 87 = 3*t, -7*u + 122 = -3*u + 2*t. Suppose 0*a + 2*a = u. Suppose 3*f + 4*n + a = 44, 0 = f + 5*n - 28. Solve -5*d = -4*d - f for d. 3 Let a(u) = -u**2 + 5*u - 4. Let m be a(3). Suppose 2 = 2*w - y, 2*w + 2*y = -5 + 1. Let f = m - w. Solve f*k = k for k. 0 Let a be 25/10*2/1. Solve -a*n = -n + 16 for n. -4 Let f = 3 - 2. Let y be (f - 0)*(-4 - -4). Suppose -5*b + b = 3*j + 6, b + 5*j + 10 = y. Solve 2*k = -b*k for k. 0 Let u(m) = -2*m - 4. Let y be u(-3). Let b be (-8)/12 + 1/(-3). Let d be b/(2*(-3)/24). Solve -d + 2 = y*k for k. -1 Let t(u) = u + 13. Let l be t(-10). Suppose -l*o - 4 = -7*o. Solve -a = -2*a + o for a. 1 Let v be (-1 + 1)*(-7)/(-14). Suppose v = -3*g - 2*g + 10. Let u = -1 + 13. Solve b + u = -g*b for b. -4 Suppose 0 = h + 4*h - 4*f - 28, 3*h - 22 = 5*f. Suppose 3*i + 2*m = 47, i + 5*m = -4 - 2. Suppose 0 = p - 7 - i. Solve h*r - p = -6 for r. 5 Let d(x) = -x - 9. Let h be d(-12). Let t = -7 - -10. Let q = t + -1. Solve -q*b = -h*b + 1 for b. 1 Let c(t) = -t**2 - 8*t + 3. Let k be c(-8). Let s = 0 - 0. Solve s = k*y + y + 20 for y. -5 Suppose -5*n = -0*n - 25. Solve -n*m = -2*m for m. 0 Suppose d - 10 + 3 = 0. Let v = 33 + -20. Let x = v - d. Solve -3*q - 3 = -x*q for q. 1 Suppose 0 = 4*b + 2*b - 12. Solve -3 = -n - b*n for n. 1 Suppose 9*u = 4*u - 70. Let i = 16 + u. Solve g = 3*g - i for g. 1 Suppose 10 = j + 3*v - 2, 0 = -3*j + v + 6. Suppose 2*z + z = 4*z. Solve z = -j*u + 2*u + 3 for u. 3 Let f = -20 - -20. Solve 0 = -4*v - f*v + 4 for v. 1 Let v(y) = -y**2 - 3. Let g be v(0). Let b(i) = i**2 + 4*i + 4. Let t be b(g). Suppose -p - 5*z = -22, 2*p - 2*z - 2*z = -12. Solve -c = -p*c + t for c. 1
Work out 29414688 - 0.095. 29414687.905 What is the difference between 0.1 and -3386.3785901? 3386.4785901 What is 20137377358 less than -2.3? -20137377360.3 What is -64546441244 minus 5? -64546441249 What is 56237.52 + -189421? -133183.48 What is -0.3 less than -6549751544874? -6549751544873.7 What is 6408 take away -91.267522? 6499.267522 Work out -38848 - -983824503. 983785655 Add -49604433.169 and 6. -49604427.169 Work out 1 - 136.695131837188. -135.695131837188 Calculate -2030916.59759 - 0.08. -2030916.67759 What is 0.1 + 38818572576887? 38818572576887.1 Subtract -204.3149 from 37668. 37872.3149 Put together 0.244 and -1461.41421953. -1461.17021953 Put together 1947 and -97744.45684. -95797.45684 Sum -245 and 186980534.664. 186980289.664 What is -1050 minus 8243733593? -8243734643 Calculate 0.432645 + 24599744. 24599744.432645 Work out -295 - 336586.174. -336881.174 Total of 1037989416343.65 and -3. 1037989416340.65 Calculate 68409322581.16 + 4. 68409322585.16 What is -16762478817 take away 3.243? -16762478820.243 Total of -0.4 and 246342.7459. 246342.3459 What is the difference between -106242083857 and 0.0373? 106242083857.0373 What is -0.226 - -3047670205? 3047670204.774 Subtract -429115446 from 2098. 429117544 Calculate -8174615615 + 793. -8174614822 Total of -0.2 and 4.46417566909. 4.26417566909 Calculate -89478303785 + 28. -89478303757 What is -58545906317 plus 21? -58545906296 Subtract -3161 from 26409895. 26413056 What is -205325.05473 plus -14.45? -205339.50473 What is -0.0461043 minus -7457696? 7457695.9538957 -1465952793403081 + 2 -1465952793403079 Add together -25.275 and 18418693663. 18418693637.725 Add together 4 and -97736817929. -97736817925 Add together -0.441 and 984.59363. 984.15263 What is the difference between 1615 and 260152462? 260150847 -30.01 + -2873483221 -2873483251.01 What is -3818 take away -10188.10047? 6370.10047 What is the difference between 5 and -4306572041.3? 4306572046.3 Add -108 and -142773758522. -142773758630 What is 342.92 + -291924157? -291923814.08 What is the difference between -81695 and -3261460? 3179765 Add together -42865206118680 and 0.4. -42865206118679.6 What is 515334870 less than 1.1386? -515334868.8614 Add together -64844.7268985 and 5. -64839.7268985 What is the distance between 2558.707 and 446367? 443808.293 Add together 401227010757247 and -0.4. 401227010757246.6 What is -2076.940707 - -633? -1443.940707 What is -1.2 take away 123425.09875955? -123426.29875955 What is -4.6 - 10634.0020363? -10638.6020363 What is 2817893880.57 + -1? 2817893879.57 What is -97 - -893213545? 893213448 Sum -374 and 82.49009868. -291.50990132 Add together 17.1244 and 0.2909. 17.4153 -106243276103.1+-0.05 -106243276103.15 What is 149913539.37 less than 100.27? -149913439.1 Total of 560649407643 and -1. 560649407642 What is -11011301.6 less than 557? 11011858.6 Total of -78879165224 and 3.585. -78879165220.415 What is the distance between 4 and -0.087011415678? 4.087011415678 Work out -1891588198 + -429846. -1892018044 What is -658.39 less than -12587? -11928.61 What is -1374908 + 988152409? 986777501 Subtract -3 from 149659402585. 149659402588 What is the distance between -0.19 and -3858051.855? 3858051.665 What is 144071 + 2211474? 2355545 Total of 25187378178 and 0.03433. 25187378178.03433 Put together 21176695357 and -243. 21176695114 Total of -0.097 and -406798815071.5. -406798815071.597 Work out -0.6 + 443.49671959. 442.89671959 4125.06+-1588039 -1583913.94 What is the distance between 0.21 and -9569.988367? 9570.198367 Work out 11874.08677 - -1.336. 11875.42277 1328.5 + -141659144 -141657815.5 What is the difference between -8398952699293 and -0.4? 8398952699292.6 What is 2 - -1532811803682? 1532811803684 147529365100.52 + 0.4 147529365100.92 What is -36.05041725913 less than -0.1? 35.95041725913 51308 + -3693.615 47614.385 Calculate 1 + -26515667431171. -26515667431170 Add 4 and -45787711070389. -45787711070385 Total of 156252 and 464109.7765. 620361.7765 Work out -2 - 265195.06272. -265197.06272 What is -0.02531262 plus 42273? 42272.97468738 Add together -2479341653410 and -0.19. -2479341653410.19 3175535+-1813.5 3173721.5 Sum -399.946827789 and 0.4. -399.546827789 What is 0.3 plus -1.8341284003? -1.5341284003 What is 354 plus -12558459.24? -12558105.24 Subtract 7156849.019049 from 18. -7156831.019049 98458.6+54535 152993.6 Sum -3759334715.1 and -2441. -3759337156.1 Calculate 190.148 + 1443072370. 1443072560.148 Work out -53145663497722 + 0.5. -53145663497721.5 -373879302.08+0.02098 -373879302.05902 Add -0.47 and -21.5200743037. -21.9900743037 Add -1 and -3652.14956606678. -3653.14956606678 Work out 1 + -934952.07452. -934951.07452 Calculate 3 + -2498035293480. -2498035293477 What is 1444304800.8 - -78? 1444304878.8 Calculate -169 - 0.55278785636. -169.55278785636 What is the difference between 139784.94 and -20398? 160182.94 Put together -344827 and -120230. -465057 Total of -0.208602 and 1120659. 1120658.791398 What is 59007954.3 - -3429? 59011383.3 Sum -3.86 and 122017306349. 122017306345.14 What is -849188981 - 91? -849189072 Calculate 115.05 - 58326863348. -58326863232.95 What is -78401923.103 - -4.656? -78401918.447 What is -5309 less than -64.61075? 5244.38925 What is -6525802 - 33219? -6559021 What is -2435043669420 minus -0.3? -2435043669419.7 What is -0.0275 take away 13340.339399? -13340.366899 What is -1103.97104645 - -0.02? -1103.95104645 Work out -4618004980170 + 0.5. -4618004980169.5 Total of -68971 and -662765529. -662834500 0.0505615 + -1936.03 -1935.9794385 Calculate -15414741 + -4.376095. -15414745.376095 What is -2334446 less than 67817346? 70151792 Calculate -318173775.2334 + 0.4. -318173774.8334 Work out -25 + 4263384.0605. 4263359.0605 What is -682221749.11 - 797? -682222546.11 -3.5+-297627.768 -297631.268 What is 67322223850431 minus 4? 67322223850427 Calculate 55.08 + -133864868165. -133864868109.92 What is -5 minus 1057260.1155601? -1057265.1155601 Work out 339183.2 - 412765223. -412426039.8 Work out -6637.23446903 + 1. -6636.23446903 What is -5502918 take away -13506.8645? -5489411.1355 Work out 7 - 1.5895553836. 5.4104446164 Add together 0.17140043 and -7.356. -7.18459957 What is -0.4 minus 42099310100599? -42099310100599.4 -128.955388+6021 5892.044612 Calculate -70273 - -11254.109074. -59018.890926 What is 2.3 + 21931370.632? 21931372.932 Work out 0.6760115088465 + -0.6. 0.0760115088465 Work out -0.174 + -137.9143328. -138.0883328 What is 3 - 284248085539653? -284248085539650 22738810345 - 362 22738809983 Total of 4559902625 and 12247. 4559914872 Put together 2806334782 and -666. 2806334116 -137 + 13693.17064 13556.17064 Sum -4.2 and -171123231371. -171123231375.2 Sum 5 and 17285259072682. 17285259072687 Put together 4 and 36.65666429538. 40.65666429538 -3 + 399756313483 399756313480 Total of 2221 and 27.39427747. 2248.39427747 What is 0.26352605 minus -37627? 37627.26352605 Calculate -1.0747951177 - -0.03908. -1.0357151177 Work out 0.1232 - 43856501109. -43856501108.8768 Put together 15359328054 and -1.1. 15359328052.9 12435999027+-265 12435998762 What is 355.194 minus 110941172? -110940816.806 What is -1.4 - 38826598633? -38826598634.4 What is 593 less than -87235978144? -87235978737 What is the distance between -304736 and 24191988? 24496724 Work out -16.34502329 + -12.12. -28.46502329 Work out 0.126112374518 - -112. 112.126112374518 Add -0.0219377642757 and 3. 2.9780622357243 What is 0.77119034 - -1696481? 1696481.77119034 What is 1686 plus -4471794058? -4471792372 What is -1.94417 - 23.537512? -25.481682 Work out 0.09 - -418695655186. 418695655186.09 Add 185855120.4605 and 29. 185855149.4605 -37108.0621 + -0.0676 -37108.1297 0.0126334+-14206 -14205.9873666 Put together 25337084 and -5976. 25331108 What is -0.1006876 - -321.46? 321.3593124 What is -8162034501783 plus 0.2? -8162034501782.8 What is 88647744127437 plus 0.5? 88647744127437.5 -48660398561 + -9 -48660398570 What is 3154429525 - -56.566? 3154429581.566 Work out 29432576 - -12616968. 42049544 Subtract -19.1 from 623102507. 623102526.1 What is -0.5 minus 26490420113.6? -26490420114.1 What is 0.6 take away 6323975.1179? -6323974.5179 What is the difference between 0.297 and -56727093? 56727093.297 Calculate -25 - 2057863645973. -2057863645998 Calculate -76 + 2357720707. 2357720631 Add -95246981 and 2755211. -92491770 Put together -9117.73737 and -9796. -18913.73737 Put together 10 and -5728250.67857. -5728240.67857 Sum -80752.7077394 and -227. -80979.7077394 -291+3594408.695 3594117.695 -0.2 + 6.874737659 6.674737659 Add -485333425 and 5589. -485327836 What is 4883689159885 take away 19? 4883689159866
What is the value of 3/(92/23*(-2)/2)? -3/4 ((-615)/(-369))/(10/4) 2/3 What is 6/5*155/31? 6 Evaluate (4/(-16))/(3/(24/(-10))). 1/5 What is the value of ((-140)/735)/((-4)/(-6))? -2/7 What is 80/(-105)*6/8? -4/7 What is ((-30)/45)/((-7)/(-3))? -2/7 What is (18/45)/(55/(-25))? -2/11 ((-192)/(-16))/(4/8*-3) -8 Evaluate (-2)/(-2*(-5)/(-20)). 4 (3/(-12))/((-2)/(24/6)) 1/2 ((((-3)/1)/24)/(-1))/1 1/8 What is 4/1*(-13)/13? -4 What is the value of 18*(6/(-9))/(26/(-13))? 6 Evaluate ((-8)/(-5))/(-4)*55/88. -1/4 (14/126)/((-2)/24) -4/3 Calculate 3/6*4/3. 2/3 Calculate (1/(-3)*0)/(-2). 0 What is the value of 8/2*135/(-180)? -3 What is (12/(-102)*1)/((-2)/2)? 2/17 (2/(-7))/((-14)/(-98)) -2 What is 2/(-10)*4*(-2)/(-4)? -2/5 Evaluate ((-4)/2)/((-4)/(-8)). -4 Evaluate 50/16*(-22)/(-55). 5/4 What is (5/8)/((-5)/10)? -5/4 (-1)/((-3)/(-15)*5) -1 Evaluate 48/(-12)*-2*(-3)/(-12). 2 What is (1*(-5)/15)/(3/(-3))? 1/3 What is the value of (145/2610)/(4/18)? 1/4 What is (9/(-4))/(-9)*(-40)/10? -1 Evaluate (5/(-4))/(7/28). -5 Calculate ((-5)/(-75)*6)/((-7)/5). -2/7 Evaluate (0/(-4))/(1/(-1)). 0 -1*11/660*-8 2/15 What is ((-4)/2)/(45/18)? -4/5 ((-2)/9)/(18/5832*-12) 6 What is (-775)/155*-1*1*1? 5 Evaluate -7*(-2)/28*(-12)/(-10). 3/5 (-2)/(6/48*4) -4 What is the value of 4*3*-3*6/(-54)? 4 What is (32/(-352))/((-1)/22)? 2 (-10)/(-24)*((-896)/(-120))/14 2/9 Calculate (-50)/20*-1*(-18)/15. -3 Evaluate 16/4*(-16)/288. -2/9 What is the value of (0/(-1))/((40/8)/(-5))? 0 Evaluate (45/10)/(5/((-20)/(-24))). 3/4 (-4)/(-7)*(-42)/60 -2/5 Calculate (3/(-21))/((-15)/105). 1 What is 126/(-21)*2/3? -4 Calculate 14/(-112)*12/(-9). 1/6 What is the value of 24/(-40)*(-3)/9? 1/5 100/(-150)*(-18)/(-16) -3/4 -1*6/(66/11) -1 What is (-25)/10*(-12)/(-345)? -2/23 Calculate (-2)/(-2)*4/6*-6. -4 Evaluate 44/(-33)*1*(-9)/6. 2 (-6)/22*2/(-3) 2/11 (-30)/140*4/2 -3/7 What is ((-189)/27)/(2/(8/4))? -7 Evaluate 3*(308/(-147))/(-11). 4/7 What is the value of 2*(-2)/(-44)*38/(-19)? -2/11 Calculate (52/(-104))/((-2)/4). 1 What is the value of ((-2)/(-6))/(2/90*-3)? -5 ((-27)/(-54))/((-5)/8) -4/5 What is the value of (432/486)/(6/(-27))? -4 What is the value of 14/(-4802)*-21*(-7)/2? -3/14 What is the value of (-2)/(((-5)/((-20)/16))/6)? -3 What is the value of (-60)/(-4)*(-6)/(-30)? 3 What is 213/(-355)*10/(-1)? 6 Evaluate 91/(-78)*(-3)/14. 1/4 Calculate (1*-16)/(102/(-51)). 8 Calculate (8*5/(-210))/((-8)/(-12)). -2/7 Evaluate 7/(-3)*(-4)/(-14). -2/3 Evaluate 3/(-34)*(112/(-21))/(-4). -2/17 What is (1/1)/((-4)/(-72)*6)? 3 (84/(84/(-6)))/(1*2) -3 Evaluate -13*27/(-234)*4/(-6). -1 What is 2/5*(-4)/8? -1/5 Evaluate 20/(-6)*(-24)/(-20). -4 Calculate (((-15)/27)/(-5))/(4/(-12)). -1/3 What is the value of ((-48)/9)/2*207/138? -4 Calculate (4/(-10))/(1/(-10)). 4 What is the value of 3/4*(-28)/(-210)? 1/10 1*(424/(-265))/(1/(-5)) 8 What is (-8)/((-4)/(-6)*36/12)? -4 (-6)/(-7)*(-518)/(-999) 4/9 (3*(-6)/27)/(10/(-15)) 1 Evaluate (33/12)/(-11)*20*-1. 5 What is ((-2)/22)/((-420)/770)? 1/6 (6/(-18))/((-6)/54) 3 Evaluate 6*(8/6)/2. 4 Evaluate (19/171)/((-2)/8). -4/9 What is the value of 1/((-6)/(-15)*(-2)/(-4))? 5 What is ((-2)/(-2))/(16/112)? 7 Calculate ((-42)/49)/((-16)/14). 3/4 Calculate ((-4)/(-6))/(22/(-66)). -2 (2*5)/((-9)/(-45)*-10) -5 (-135)/(-240)*14/63 1/8 What is the value of (-24)/36*(-4)/((-28)/3)? -2/7 What is the value of (-20)/(80/18)*(-2)/12? 3/4 What is the value of ((-154)/33)/((-4)/6)? 7 Evaluate ((-37)/(-111))/(12/(-9)). -1/4 What is the value of 1/((-4)/16*-4)*1? 1 (-11)/((-330)/100)*12/(-10) -4 Evaluate (-10)/(-2)*((-10)/(-2))/(-5). -5 Calculate 5*2/40*12/3. 1 What is the value of (1/6)/((-5)/5)? -1/6 What is (((-4)/(-6))/((-2)/9))/(-3)? 1 Evaluate (-20)/25*(-5)/(-2). -2 What is the value of -4*(-2)/2*1? 4 What is the value of (4/10)/((-63)/(-45))? 2/7 What is 2/6*105/7? 5 What is the value of 0/(8/(-1))*-1? 0 What is (-4*6/18)/(304/24)? -2/19 What is ((-18)/(-63))/((-50)/(-14))? 2/25 What is ((-1)/3)/(((-480)/20)/(-72))? -1 What is (-2)/((-6)/(-2*12)*-6)? 4/3 What is ((4/27)/(-4))/((-2)/12)? 2/9 -4*((-21)/3)/70 2/5 Evaluate 2*2*5/110. 2/11 What is the value of (-7)/(1617/(-6))*42/6? 2/11 Calculate ((-5)/10)/((-1)/(-2)). -1 (-3)/(6/12*-2) 3 What is (-12)/(-4)*1/1? 3 Calculate 3*((-18)/(-9))/(-2). -3 What is 17/(-51)*(-2)/(-2)*-9? 3 What is the value of 15/210*-7*14? -7 What is (((-9)/38)/3)/((-120)/(-160))? -2/19 Evaluate 2/8*-6*-2. 3 Calculate 1/(((-50)/(-6))/5). 3/5 564/(-94)*(-2)/(-20) -3/5 Evaluate (13/39)/(1/3). 1 1*2*30/700*-10 -6/7 (-10)/(-36)*4*6/10 2/3 What is the value of (10/(-15)*2)/((-10)/75)? 10 Evaluate (-3)/(-99)*(-66)/11. -2/11 Calculate 55/(-176)*4/(-10). 1/8 What is (3/2)/1*(-15)/(-90)? 1/4 Evaluate (-2)/(((-14)/(-21))/2). -6 What is 8*4/(-36)*(-15)/(-20)? -2/3 What is ((-12)/(-9))/(((-112)/60)/(-7))? 5 What is 3*(-3)/(-18)*182/(-13)? -7 9/(-12)*2*(-104)/(-39) -4 (27/(-54))/(2/(-12)) 3 What is ((-36)/20)/3*2/3? -2/5 Calculate (12/45)/(7/(140/24)). 2/9 Evaluate (6/15)/((-10)/(-35)*-7). -1/5 Calculate 15/(-6)*26/(-13). 5 316/553*14/(-4) -2 ((-6)/24*4)/1 -1 What is the value of (-4)/(-17)*(-2)/(-8)*2? 2/17 What is the value of (135/(-60))/(((-10)/(-8))/(-5))? 9 Evaluate 3/(-2)*36/(-90). 3/5 What is ((-7)/(-140))/((-10)/(-225)*-3)? -3/8 What is 1*36/45*5? 4 What is the value of (-3)/(276/72*(-27)/(-3))? -2/23 Calculate (0/(-1))/(-1)*5/(-10). 0 What is (41/123)/(1/3)*5? 5 Calculate 3/((-2)/(-3)*(-72)/16). -1 What is (-12)/(-32)*(-28)/21? -1/2 216/264*2*3/9 6/11 What is 2/12*24/18? 2/9 (-8)/(-6)*(162/(-12))/3 -6 What is the value of 10/6*4*(-18)/360? -1/3 Evaluate (-10)/((-1)/(12/12)). 10 What is (-4)/(-70)*84/12? 2/5 (-21)/14*(-1)/9 1/6 Calculate ((-6)/3)/((-7)/21*-3). -2 Evaluate (-12)/(-12)*4/32*4. 1/2 What is ((-14)/16*-2)/((-13)/(-52))? 7 2/6*-12*(-3)/12 1 What is (49/882)/(1/(-6)*2)? -1/6 Calculate 2/4*(-52)/(-13). 2 ((-10)/(20/2))/(2/6) -3 2/(-3)*(-36)/8 3 Evaluate 5/2*((-24)/10)/(-3). 2 Calculate ((-134)/1005)/(((-1)/3)/1). 2/5 Calculate 130/(-40)*(-2)/13. 1/2 132/(-77)*(-7)/(-2) -6 Evaluate (-22)/22*(-1)/1*5. 5 What is 3*3/36*4? 1 (3/(-9)*-1)/((-2)/30) -5 What is (15/(-25))/(2/(-10))? 3 What is ((-2)/(-22))/(13/182*-7)? -2/11 Calculate (-7)/3*6/(-7). 2 Evaluate 70/(-42)*36/(-100). 3/5 (21/(-18))/((-57)/342) 7 What is the value of -1*((-1)/(-3))/(24/(-144))? 2 Evaluate 5/3*2*(-27)/(-60). 3/2 (-54)/(-36)*(-2)/7 -3/7 What is (2/((-10)/1))/(15/(-225))? 3 Calculate 35/7*2/10. 1 What is (6/8)/((-13)/(-26))? 3/2 What is the value of 5*-1*(-5)/(-700)*-8? 2/7 Calculate (30/(-6))/(-5)*(-2)/5. -2/5 Calculate (4/5)/(2/5). 2 Evaluate (-1)/(-4)*(-132)/22. -3/2 ((-4)/8)/(2/(-3*4)) 3 5/((15/10)/((-3)/2)) -5 (486/81)/((-1)/(-1)) 6 Calculate (-25)/30*2/(-5). 1/3 Evaluate (13/(-39))/(((-4)/18)/2). 3 Evaluate ((228/56)/19)/(3/(-8)). -4/7 What is ((-28)/(-882))/((-3)/(-27))? 2/7 What is 6*(-2)/4*-1? 3 What is ((13/13)/1)/((-10)/2)? -1/5 Evaluate ((-7)/3)/(392/(-1344)). 8 What is the value of ((-180)/72)/(10/24)? -6 Evaluate 100/60*6/(-2). -5 Evaluate ((-13)/13)/((-2)/((-6)/(-1))). 3 Evaluate (72/(-64))/((-30)/8). 3/10 What is the value of (162/135)/(3/10)? 4 Evaluate -5*5/(5/(-1)). 5 Calculate (3/3)/((-13)/39). -3 Calculate 16/4*(-5)/(-40). 1/2 ((-12)/(-21))/(27/(-63)) -4/3 What is the value of (-45)/540*2*1? -1/6 What is the value of ((-110)/4)/11*-2*-1? -5 What is (42/(-35))/((-4)/30*6)? 3/2 Evaluate (-4)/26*8/16. -1/13 What is (-6)/9*(-78)/(-26)? -2 Calculate (-2)/(((-4)/15)/(20/(-50))). -3 Evaluate 8/((-256)/(-24))*8/6. 1 (-8)/(2/(-4)*-4) -4 4/(-20)*1/1 -1/5 ((-2)/5)/((-40)/175*-7) -1/4 ((12/(-9))/2)/((-32)/(-432)) -9 What is the value of (18/(-315))/(10/(-35))? 1/5 What is 3/2*64/(-32)? -3 -3*(5/(-3))/5 1 What is the value of (((-30)/4)/(-5))/((-9)/(-3))? 1/2 ((-8)/5)/(44/165) -6 What is 12/5*15/(-6)? -6 What is ((105/14)/(-5))/(3/(-6))? 3 2*(5/20)/((-14)/(-8)) 2/7 What is the value of 6/(-2)*80/48? -5 What is the value of 12/(-12)*4/18*-1? 2/9 Calculate (-24)/30*2/12. -2/15 Evaluate ((-279)/465)/(4/2). -3/10 What is the value of (((-2)/(-2))/(-9))/(5/(-10))? 2/9 Calculate ((-34)/170)/((-3)/(150/(-8))). -5/4 Evaluate (3/8)/(243/324). 1/2 What is the value of 3*5/135*-3? -1/3 Calculate ((-2)/(-10))/(4/4). 1/5 190/855*18/28 1/7 Calculate 16/220*30/(-12). -2/11 Evaluate 0/(((-12)/18)/(4/18)). 0 What is the value of 70/(-1365)*(-6)/(-2)? -2/13 What is the value of 4*(-20)/40*3/2? -3 Evaluate (9/(-6))/(((-567)/12)/(-7)). -2/9 24/(-3)*(-6)/(-8) -6 (5/30)/(((-135)/(-10))/9) 1/9 (-12)/18*(-3)/(-2) -1 What is -2*(-2)/24*(-45)/(-30)? 1/4 (3/(-21))/(1*-1) 1/7 What is the value of 2/(-5)*(-27)/54? 1/5 What is the value of 6/(-64)*(-26)/117*-18? -3/8 Evaluate 1/(6/(-24))*10/(-8). 5 Calculate (-6)/(-2)*68/(-51). -4 What is (5/15)/(((-2)/(-1))/(-42))? -7 What is ((20/(-6))/5)/((-4)/(-24))? -4 What is 2*(-2)/6*6/8? -1/2
Is 5331374133 a prime number? False Is 47474117711 a composite number? False Is 32178439153 a composite number? True Is 2228967203 prime? False Is 323386781 prime? True Is 10082107441 composite? True Is 23340199199 prime? False Is 84280761077 a prime number? True Is 30919094441 a composite number? False Is 1995826169 a composite number? False Is 64273619 composite? True Is 698675447 a prime number? False Is 137642340893 a composite number? True Is 232297060641 composite? True Is 472015716782 a composite number? True Is 162433507 prime? True Is 4613167101 a composite number? True Is 40235350765 prime? False Is 6029248619 prime? True Is 1548133861 prime? True Is 3468639851 composite? True Is 21872016721 prime? False Is 8025528419 prime? False Is 115186802327 a composite number? False Is 4589745434 composite? True Is 20925304691 prime? True Is 1396733281 composite? False Is 2255913629 prime? True Is 9150443615 prime? False Is 243137149 a composite number? 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True Is 6004827307 composite? False Is 11488758847 composite? True Is 7209614261 prime? False Is 779481679 prime? False Is 95345224751 a composite number? True Is 8944060735 a prime number? False Is 27485674547 a prime number? True Is 29098633907 prime? False Is 84074581 a prime number? False Is 77889040871 a prime number? True Is 205931513 composite? True Is 1402688577 prime? False Is 9904604093 prime? True Is 32624100293 prime? False Is 50112844543 a composite number? True Is 272058871477 prime? True Is 20632256101 composite? False Is 1960745803 prime? True Is 65706068509 prime? True Is 3969755827 composite? False Is 1079646677 a composite number? True Is 490942253 prime? False Is 4263452491 prime? False Is 678111851 a prime number? True Is 19348726835 a composite number? True Is 35127010913 a composite number? True Is 132116971 a prime number? False Is 4389458653 a composite number? False Is 499866457 a composite number? False Is 1403287583 a composite number? 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What is the value of (-9)/(-4)*(-164)/123? -3 What is (-12 + -1)*28/(-38 + 66)? -13 What is the value of (6/4)/((-165)/(-14) - 12)? -7 Calculate 0 + (-5)/(-50)*-70. -7 What is the value of (4/((-160)/24))/((-77)/(-110))? -6/7 (-21)/(315/6)*(-840)/(-28) -12 What is (-6 - 316)/14 - -9? -14 What is 41/2 - ((-1)/(-2) - -13 - 14)? 21 What is the value of (-9 + -1)/5*(13/2)/1? -13 Calculate (-39)/(78/(-8)) + 8. 12 (-12)/(-8)*2/10 - 371/770 -2/11 What is 6 + (37/185)/((-1)/(-5)) + -29? -22 (-2 + 12)/(-1)*(-2032)/(-5080) -4 What is the value of 311 + -296 - (-336)/(-22)? -3/11 (-2)/80*2*(298 + -300) 1/10 Evaluate -30*(-4)/108*522/145. 4 Calculate 2/(42/3) - (72/(-84) - -11). -10 What is the value of 28/(-6) - -1 - (40 + -45)? 4/3 10/(-7) - (-39 - (-16560)/315) -15 Calculate 2 + -12 - -6 - -20. 16 (-176)/(-20) - (-55 + 1)/(-6) -1/5 Evaluate 140/12*(-10)/7 + 169/(-507). -17 What is 4/(-22)*(-693)/7? 18 What is the value of (-1276)/(-435) + 20/(-15)? 8/5 What is the value of (1196/12259)/(1 + -3)? -2/41 Evaluate (1 - (-36)/(-27))*24 + 360/46. -4/23 What is 8/(896/(-108)) + 3 + (-15)/4? -12/7 Evaluate (9/24*2)/(38/(-8) - -5). 3 What is (144/11 - 5/55) + -19? -6 Calculate ((-60)/50)/(10/25). -3 What is 30*(35/(280/(-16)))/5? -12 Calculate (9 - 12) + 114/(-21) + (-24)/(-56). -8 Calculate (1/(-72))/((-182)/1092). 1/12 (1 + 10/(-6))*(-198)/(-528) -1/4 What is 10/102*(-107)/((-5350)/60)? 2/17 Calculate (-456)/(-1080)*72 - 7/5. 29 Calculate (1*(-17 - -16))/(10/4 + -2). -2 What is the value of -3*-78*19/(-185 - -14)? -26 What is the value of 1 - -3 - ((-17980)/1550 - 3/(-5))? 15 10/8*2 - ((-117247)/3306 + 38) -2/57 Calculate (36/432)/(29/(-10092)). -29 Evaluate (1/6)/(18/2 + (-16064)/1792). 14/3 Calculate 6/(-45)*(-9)/(-2). -3/5 What is the value of ((-816)/(-22))/(-3) + (-948)/(-2607)? -12 What is 45/(9*25/(-90))? -18 What is (-3)/(-75)*10*(-175)/(-10)? 7 Calculate (-78)/(-18) - 6 - 68/(-48). -1/4 38436/(-6406)*2*((-7)/3 - -1) 16 Calculate 14 + (-567)/57 + -8 + 4. 1/19 Calculate ((-2)/(-3))/(96 + -94) + 7/15. 4/5 (-64)/(-252) - (-3)/(-21) - 184/360 -2/5 Evaluate (10/39)/(1068/4628). 10/9 (-1 - -2) + ((-2)/(-25))/((-7)/70) 1/5 What is the value of (-840)/120 - 213/(-33)? -6/11 (9/6)/(-3)*(-663)/(-102) -13/4 3/39*-12*(-3367)/518 6 What is 47 - (-16965)/(-360) - 18/(-16)? 1 Evaluate (-180)/(-35) - -1 - 6. 1/7 Evaluate 45/(-2)*(-270)/405. 15 What is the value of (166/249)/((18/63)/((-15)/7))? -5 Calculate (7/((-140)/(-440)))/(1 - (-2 + 5)). -11 Calculate (-220)/2970 + (-10)/108. -1/6 (-15)/(-8) + (2925/(-24))/(-15) + -8 2 What is ((-189)/(-24))/21 - -1*1/40? 2/5 What is ((-274)/(-3425) + 477/600)*2/7? 1/4 Calculate (64/(32/(-4)) - (-13 + 4))*0. 0 Evaluate -10 + (-22984)/(-2223) + (-2)/(-19). 4/9 What is the value of (-16)/((-1462)/85 - -18)? -20 What is the value of 153/21 - 7 - 99/(-21)? 5 Calculate (21/(-60) - (-22)/(-55))/(5/(-2)). 3/10 ((-1)/4)/((-550)/1320) 3/5 Evaluate 2/108*(8 + -1)*164/287. 2/27 What is -20 - 8*154/(-112)? -9 Evaluate 7 - (4 + 15) - -16. 4 Evaluate (5 - 0) + ((-24080)/(-126))/(-40). 2/9 (4/(-5))/(-16*12/(-48)) -1/5 (0 + 1)/((-35)/(-770)*-11) -2 Calculate 1 + -3 + (6 - (0 - 6)) + -7. 3 Calculate ((-8)/(-10))/((-32)/((-736)/(-69))). -4/15 What is the value of (-3630)/(-3960) - (-1)/3? 5/4 What is ((4/(-32))/((-180)/96))/(4/(-48))? -4/5 What is the value of (2 + 0)/((-44)/(-33) + (-10)/12)? 4 Evaluate (-309)/(-135) - 19/171*-10. 17/5 Evaluate (-24)/88 - 168/(-132). 1 Calculate ((-63)/(-14))/(6/(-16)). -12 What is ((2310/55)/42)/(2/20)? 10 What is (1 + 2/(-3))/((-29 - -44)/(-360))? -8 Evaluate 22/143 - (-102)/13 - 40/(-10). 12 What is 35/(-210)*18 - 14? -17 What is the value of (-2)/(140/(-154)) - (1 + 1)? 1/5 What is the value of (5/70*28)/((-2)/(-16)*1)? 16 What is the value of (3/12*2)/(-2 + (-279)/(-144))? -8 What is ((-2)/(-18))/(39/117)? 1/3 What is 5 - (2 + 5 + -7 - (2 - 0))? 7 Evaluate (3128/119 - 26)/((-2)/(-49)). 7 (-852)/156 + -13 + 18 -6/13 Evaluate (-3)/45*93 + 24/(-30). -7 What is the value of ((-28)/12)/(-7 - ((-64)/12 + -2))? -7 Calculate (-25)/5 + ((-120)/(-14) - (-54)/126). 4 What is -7 + (-29)/(-4) - (-108)/(-240)? -1/5 What is the value of 1390/(-417) + 70/(-6)? -15 What is the value of (-78)/9*22/1100*15? -13/5 (40/(-14))/(7 - 188/28) -10 Calculate 177/1062*(4/(48/(-27)) - -3). 1/8 Evaluate (-1)/8*2 + (33/(-12) - 7). -10 What is the value of (70 + 136524/(-1953))*2*(-2)/(-4)? 2/21 What is 1 + 4 - ((-6)/(-16) - 6460/(-1632))? 2/3 -1 - (11 + 320/(-30)) -4/3 What is ((-1421)/(-238) - 6)/(1/4)? -2/17 What is the value of 300/80*(-8)/3? -10 (3/(-12))/(6/120) -5 What is ((-268)/(-19095)*114)/((-2)/(-35))? 28 Calculate ((-2433)/(-8110))/(-1 - 1/5). -1/4 What is ((-363)/(-44) + -8)/((-4)/44)? -11/4 Evaluate (16/(-10) + 2)*(-2150)/(-6020). 1/7 Calculate (-34 + 32)*(-2)/2 + (-10)/(-2). 7 Evaluate (36/(-48))/((-15)/(-20)). -1 What is (((-3726)/(-144))/23)/(1/4 + -1)? -3/2 Calculate (3 - 3 - (-10)/(-15))/(49/(-588)). 8 -5*(12 + 198/(-18)) -5 8/14*(-8918)/(-196) 26 Evaluate (554/(-340) + (-882)/(-70) + -11)*2. -1/17 What is (18/(-5))/((-48)/(-160))? -12 Calculate 122/(-427) - 2/(-7). 0 (66/22)/(6/(-36)*(-27)/2) 4/3 -12*(-2)/((-8)/(-1))*-1 -3 What is 28/18*1068/1246? 4/3 Calculate (147 - 157) + 5*4. 10 What is the value of (2/(-6))/(4 - (-3 + 15/2))? 2/3 253/138*12 - 30 -8 What is the value of 60/(-150) - 1196/(-65)? 18 Calculate ((-18)/144 - (-12)/(-32))*5/(-15). 1/6 What is the value of (-57)/12 + -6 + 11 + 0? 1/4 What is the value of (-3 - 54/(-8))/((-9 - 6)/5)? -5/4 What is 294/1078 + 280/22? 13 (-28 + (-12568)/(-448))*7 3/8 What is the value of (2 - -3)/((-400)/128*2/(-15))? 12 What is (-20)/24*-1*378/(-945)? -1/3 (9/12 + -2)/((-81)/108) 5/3 What is (-4)/(-10) + 108/60*182/21? 16 Calculate (-343)/(-35) - 13/(-65) - -1. 11 What is 3*2 - 1575/245? -3/7 What is ((-1)/(-5)*-2)/((-3185)/1225)? 2/13 What is (-1)/((8*(-2)/(-80))/(44/(-20)))? 11 Evaluate (5 - 15/(-9))*(-13)/(5850/108). -8/5 What is the value of (22/(-33))/((-1030)/(-2730) - 3/7)? 13 What is (-2 + 1)/(5952/42687 + (-6)/34)? 27 Evaluate (-19)/21 - (10/(-12))/((-1180)/(-1888)). 3/7 What is (12/72)/(18/(-81))? -3/4 (-4)/28 - (-7 - (204/(-42) - 4)) -2 Calculate (704/15)/8 - (7 - 13)/(-1). -2/15 What is (-12 + 350/30)*23 + (-8)/(-12)? -7 Evaluate -11 + (0 - 2*13/26). -12 What is 132/330 + 2 + 8/5? 4 What is -2*(172/44 - (2 - -2))/(-2)? -1/11 Evaluate 21/(105/10)*(-9)/6 + -3. -6 Evaluate (28/98*-6)/(130/56 + -2). -16/3 (-6*5/40)/(45/(-50)) 5/6 (28*(-4)/64)/((-3)/(-12)) -7 What is ((-142)/(-923) - 3/(-39)*141)*-2? -22 Evaluate (-2)/(-120) - (-652)/4890. 3/20 4/208*-34 + ((-608)/104 - -6) -1/2 What is the value of 17*(-12)/(-7 - -19)? -17 What is the value of (-92)/115 + (-2924)/170? -18 Evaluate (1 + (-46)/54)*156/312. 2/27 What is ((-836)/110 + 7)*(-3 + -2)? 3 Calculate 1*(-21 - (-40 + 20))*4/10. -2/5 What is the value of (5 + 1116/(-217))*-21? 3 Calculate 20/4 - (4/32)/(3/117). 1/8 Calculate (948/(-1422))/(41/(-126) + 2/(-7)). 12/11 What is the value of (5/(-10))/(2/24)? -6 5 + 0 - ((-23)/(-2) - (-40)/16) -9 What is (1/6)/(15/(-450))? -5 What is (-2)/4 + 2/(-10) + 6028/(-3960)? -20/9 (0 - 8/44)*(-7 + -8 + 14) 2/11 -82*11/396 - (-4)/(-18) -5/2 What is the value of ((-2)/(-16))/(210/(-21840))? -13 What is the value of 927/1755 - 4/60? 6/13 What is the value of 2 + -3 + 120/58 + -7 + 6? 2/29 Evaluate -10*6*22/(-990)*(-3)/38. -2/19 (1 + (-225)/36)/(261/36 + -8) 7 Evaluate 5/(-5)*10*(-7)/((-420)/72). -12 What is the value of ((-63)/35)/((-108)/900)? 15 Evaluate ((-12)/(-8) - 3)*-18 + (214 - 222). 19 What is 192/(-54) + 4 + 24516/(-52974)? -2/109 Evaluate 486/3024 - (57/(-21) + 3). -1/8 Evaluate (-17 + -6 + 897/26)/(1/(-2)). -23 (2*1/(-7))/(156/(-84)) 2/13 Evaluate (3 - 2)*(-66)/(-11). 6 What is the value of (90/243)/5*(-9)/9? -2/27 What is the value of 3*(-60 + 26 + 27)? -21 Evaluate 0 - 2*2 - (-1050)/231. 6/11 What is the value of 39*(-4)/(-12)*1? 13 What is (-1)/(-2) + (-7)/(-28)*740/10? 19 Evaluate 2*(-9)/10 - (-7966)/2845. 1 Calculate 6*1 + ((-3)/(-26))/((-237)/12640). -2/13 What is 36/(-558)*((27 - 23) + 1*-3)? -2/31 Evaluate (-1529)/4170 - ((-4)/(-26) + (-100)/312). -1/5 What is (-99)/9*168/(-88)? 21 Evaluate 8/304*-2*6/9. -2/57 What is the value of (-1540)/(-155) - 73/((-22630)/20)? 10 Evaluate (8 + (-1700)/210)/(15/525). -10/3 What is the value of 49/3 + -1 + -10 + -4? 4/3 What is the value of 43/((-9933)/22)*12? -8/7 (228/1197)/((240/(-42))/4) -2/15 What is the value of 54/(-108) + 6/22*2? 1/22 2/((-3)/(-18*(-1)/(-4))) 3 What is the value of -23 + (-2842)/(-84) + 3/18? 11 What is the value of 5960/(-3040) - (-8)/38? -7/4 ((-26)/10 + 2)/(-16 + (-2294)/(-155)) 1/2 957/231 + -4 - 43/7 - -24 18
List the prime factors of 14594666. 2, 7297333 What are the prime factors of 744387? 3, 7, 35447 List the prime factors of 19888329. 3, 31, 79, 2707 What are the prime factors of 2454165? 3, 5, 7, 53 List the prime factors of 3491618. 2, 13, 134293 List the prime factors of 8628053. 7, 97, 131 List the prime factors of 10361837. 10361837 What are the prime factors of 654185? 5, 7, 18691 What are the prime factors of 740166? 2, 3, 7, 17623 List the prime factors of 682264. 2, 11, 7753 List the prime factors of 188976. 2, 3, 31, 127 What are the prime factors of 73908? 2, 3, 2053 List the prime factors of 670289. 23, 151, 193 List the prime factors of 2316065. 5, 463213 List the prime factors of 2719468. 2, 679867 What are the prime factors of 464030? 2, 5, 7, 947 What are the prime factors of 1938125? 5, 7, 443 List the prime factors of 448475. 5, 17939 List the prime factors of 759083. 13, 58391 What are the prime factors of 1014613? 61, 16633 What are the prime factors of 1354096? 2, 84631 What are the prime factors of 180132? 2, 3, 17, 883 What are the prime factors of 28834590? 2, 3, 5, 19, 50587 List the prime factors of 8552750. 2, 5, 34211 What are the prime factors of 633442? 2, 367, 863 List the prime factors of 2280722. 2, 19, 47, 1277 What are the prime factors of 36095? 5, 7219 List the prime factors of 1000677. 3, 47, 151 What are the prime factors of 3070979? 53, 57943 List the prime factors of 197323. 7, 4027 List the prime factors of 388482. 2, 3, 64747 What are the prime factors of 1182410? 2, 5, 317, 373 List the prime factors of 1311561. 3, 61, 2389 What are the prime factors of 601008? 2, 3, 19, 659 What are the prime factors of 1900452? 2, 3, 158371 List the prime factors of 2239561. 2239561 What are the prime factors of 15191706? 2, 3, 2531951 What are the prime factors of 805498? 2, 487, 827 What are the prime factors of 944518? 2, 23, 20533 List the prime factors of 14398240. 2, 5, 89989 List the prime factors of 6723530. 2, 5, 11, 19, 3217 List the prime factors of 215614. 2, 7, 15401 List the prime factors of 7959136. 2, 248723 What are the prime factors of 1519537? 563, 2699 What are the prime factors of 12321898? 2, 6160949 What are the prime factors of 411139? 197, 2087 What are the prime factors of 3875056? 2, 47, 5153 List the prime factors of 746470. 2, 5, 17, 4391 What are the prime factors of 225571? 191, 1181 List the prime factors of 20851235. 5, 4170247 What are the prime factors of 1907409? 3, 7, 61, 1489 What are the prime factors of 2875348? 2, 7, 103, 997 What are the prime factors of 7840994? 2, 7, 197, 2843 What are the prime factors of 13791893? 2591, 5323 List the prime factors of 878695. 5, 31, 5669 What are the prime factors of 404184? 2, 3, 11, 1531 List the prime factors of 681990. 2, 3, 5, 127, 179 What are the prime factors of 635958? 2, 3, 11777 List the prime factors of 183524. 2, 11, 43, 97 What are the prime factors of 1949923? 53, 36791 List the prime factors of 1110664. 2, 19, 7307 What are the prime factors of 6702817? 11, 257, 2371 What are the prime factors of 471889? 11, 42899 List the prime factors of 50087. 50087 What are the prime factors of 2896387? 13, 222799 List the prime factors of 3655631. 7, 522233 List the prime factors of 30287894. 2, 7, 13, 166417 What are the prime factors of 8525268? 2, 3, 236813 What are the prime factors of 4587216? 2, 3, 227, 421 List the prime factors of 5201002. 2, 461, 5641 What are the prime factors of 514997? 7, 73571 List the prime factors of 16565. 5, 3313 List the prime factors of 13157711. 7, 17, 110569 List the prime factors of 2715597. 3, 17, 17749 What are the prime factors of 3042790? 2, 5, 304279 List the prime factors of 2300441. 11, 13, 16087 What are the prime factors of 1725037? 593, 2909 What are the prime factors of 413729? 17, 24337 List the prime factors of 161487. 3, 5981 List the prime factors of 2416826. 2, 1208413 List the prime factors of 164983. 7, 13, 37 List the prime factors of 273247. 13, 21019 List the prime factors of 8570872. 2, 1071359 List the prime factors of 449386. 2, 7, 32099 List the prime factors of 1113866. 2, 13, 42841 What are the prime factors of 2673879? 3, 13, 17, 37, 109 What are the prime factors of 692674? 2, 346337 What are the prime factors of 344658? 2, 3, 17, 31, 109 List the prime factors of 5925398. 2, 23, 128813 List the prime factors of 2164716. 2, 3, 157, 383 List the prime factors of 44805. 3, 5, 29, 103 What are the prime factors of 26136? 2, 3, 11 What are the prime factors of 1645866? 2, 3, 29, 1051 What are the prime factors of 666412? 2, 166603 What are the prime factors of 4050907? 7, 578701 List the prime factors of 688989. 3, 7, 43, 109 List the prime factors of 10575111. 3, 29, 121553 What are the prime factors of 920490? 2, 3, 5, 61, 503 List the prime factors of 4124279. 37, 111467 List the prime factors of 3325928. 2, 31, 13411 What are the prime factors of 617811? 3, 205937 List the prime factors of 25724130. 2, 3, 5, 857471 List the prime factors of 4270019. 13, 23, 14281 List the prime factors of 7043918. 2, 7, 503137 List the prime factors of 745461. 3, 113, 733 List the prime factors of 419820. 2, 3, 5, 6997 What are the prime factors of 263006? 2, 107, 1229 List the prime factors of 8713019. 7, 37, 33641 What are the prime factors of 169715? 5, 7, 13, 373 List the prime factors of 665854. 2, 7, 199, 239 List the prime factors of 173371. 11, 15761 What are the prime factors of 4022467? 31, 129757 List the prime factors of 4383710. 2, 5, 31, 79, 179 List the prime factors of 704985. 3, 5, 43, 1093 List the prime factors of 15804. 2, 3, 439 What are the prime factors of 165412? 2, 13, 3181 What are the prime factors of 79469? 13, 6113 List the prime factors of 347452. 2, 7, 12409 List the prime factors of 353957. 17, 47, 443 List the prime factors of 152521. 43, 3547 List the prime factors of 2274040. 2, 5, 139, 409 List the prime factors of 30598573. 30598573 What are the prime factors of 80890? 2, 5, 8089 What are the prime factors of 201437? 201437 What are the prime factors of 17424354? 2, 3, 17, 170827 List the prime factors of 4292508. 2, 3, 11, 31, 1049 What are the prime factors of 41314? 2, 7, 13, 227 List the prime factors of 2813674. 2, 1406837 List the prime factors of 26307994. 2, 13153997 What are the prime factors of 721490? 2, 5, 7, 11, 937 List the prime factors of 222039. 3, 24671 What are the prime factors of 64839? 3, 21613 List the prime factors of 84342. 2, 3, 14057 What are the prime factors of 148184? 2, 18523 What are the prime factors of 16252612? 2, 17, 59, 4051 What are the prime factors of 1098794? 2, 89, 6173 List the prime factors of 625405. 5, 11, 83, 137 List the prime factors of 9289958. 2, 1721, 2699 What are the prime factors of 170046? 2, 3, 47, 67 What are the prime factors of 4333908? 2, 3, 361159 List the prime factors of 76523. 59, 1297 What are the prime factors of 293432? 2, 43, 853 What are the prime factors of 570360? 2, 3, 5, 7, 97 List the prime factors of 1018300. 2, 5, 17, 599 List the prime factors of 821519. 821519 List the prime factors of 2345207. 103, 22769 List the prime factors of 831664. 2, 59, 881 List the prime factors of 878600. 2, 5, 23, 191 What are the prime factors of 4873757? 7, 139, 5009 List the prime factors of 32615871. 3, 337, 32261 What are the prime factors of 28262772? 2, 3, 17, 46181 List the prime factors of 13875112. 2, 1307, 1327 List the prime factors of 4472416. 2, 13, 827 List the prime factors of 10917038. 2, 11, 496229 List the prime factors of 59158. 2, 11, 2689 What are the prime factors of 122763? 3, 151, 271 What are the prime factors of 4128156? 2, 3, 114671 What are the prime factors of 180955? 5, 36191 List the prime factors of 4446572. 2, 13, 233, 367 List the prime factors of 15259885. 5, 3051977 List the prime factors of 4198011. 3, 29, 73, 661 What are the prime factors of 135311? 11, 12301 What are the prime factors of 811293? 3, 7, 5519 List the prime factors of 311299. 311299 What are the prime factors of 21192? 2, 3, 883 List the prime factors of 264744. 2, 3, 3677 What are the prime factors of 311576? 2, 17, 29, 79 What are the prime factors of 310479? 3, 13, 19, 419 What are the prime factors of 785079? 3, 29077 What are the prime factors of 5699206? 2, 251, 11353 What are the prime factors of 283394? 2, 141697 List the prime factors of 54873. 3, 7, 13, 67 What are the prime factors of 8553854? 2, 4276927 List the prime factors of 7876737. 3, 11, 2411 What are the prime factors of 20458913? 631, 32423 What are the prime factors of 1228804? 2, 307201
Let z(y) = -8*y - 29. Let l be z(-5). Let g(j) = 34*j - 76. What are the prime factors of g(l)? 2, 149 Suppose -21*b = -1657 - 800. List the prime factors of b. 3, 13 Suppose 0 = -2*v + 3*z - 553, 5*z + 0*z = -3*v - 820. Let t = -195 - v. What are the prime factors of t? 2, 5 Let c = 20 + -41. List the prime factors of (-2163)/(-49) + 3/c. 2, 11 Let h = 105 + -88. Suppose -h*f + 1408 = -173. List the prime factors of f. 3, 31 Suppose -24 = -5*l - 5*m + 16, -3*m - 11 = -4*l. Suppose 8 + 7 = l*u. Suppose 2*b + a = b + 9, u*b = 2*a + 37. What are the prime factors of b? 11 Let k be 1*(2 - 2)/1. Suppose -13 = -3*d - a, 2*a + 4 = -k. Suppose -2*t + 63 = -u - 74, 4*u + 335 = d*t. List the prime factors of t. 71 Suppose k + 8 = -7*k. List the prime factors of ((-6)/5)/(k + 296/300). 2, 3, 5 Let z = -7 - -30. Let k(c) = z + 15 - 6 + c. List the prime factors of k(-12). 2, 5 Suppose 0 = -4*c - 2*u + 3154, u - 3*u = -4*c + 3166. Suppose 59*q = 54*q + c. List the prime factors of q. 2, 79 Let r = -169 - -702. List the prime factors of r. 13, 41 Suppose -3*o - n = -245, -4*o + 0*n - 2*n = -330. Let a = o - 36. What are the prime factors of a? 2, 11 Let x(d) = -15*d - 1. Let l be x(-1). Let v = -14 + l. Let q = v + 11. What are the prime factors of q? 11 Let p(w) be the second derivative of 15*w**3/2 - 5*w**2 + 15*w. List the prime factors of p(3). 5 Let h(q) = 52*q**2 - 2*q - 1. Let d be h(1). Suppose -5*x + 91 = -d. List the prime factors of x. 2, 7 Let q(a) = a**3 + 17*a**2 - 64*a + 44. List the prime factors of q(-15). 2, 727 Let m(u) = -u**3 + 51*u**2 - 25*u + 201. List the prime factors of m(50). 1451 Suppose -2860 = -4*r - 2*u + 6*u, 5*r = -5*u + 3625. What are the prime factors of r? 2, 3, 5 Let j(b) = b**2 + 5*b + 7. Let r be j(-7). Let h = 86 + -48. Let u = h - r. What are the prime factors of u? 17 Let h = -80 + 97. Suppose -19*p = -h*p - 280. What are the prime factors of p? 2, 5, 7 Suppose 6*r - 166 - 848 = 0. Let x = 250 - r. What are the prime factors of x? 3 Let w(v) = 2*v**3 + 40*v**2 + 29*v - 61. List the prime factors of w(-19). 2, 5, 11 Let t = 39 + -21. Let w = t + -16. Suppose -3*h + 26 = -4*l, -w*h - 2*h + 3*l = -44. What are the prime factors of h? 2, 7 Let u = 18 + -13. Let p(h) = -2*h + 7. Let g be p(u). Let t = 11 - g. List the prime factors of t. 2, 7 Suppose 3*h + 38 = 236. List the prime factors of h. 2, 3, 11 Let s = -6 - -13. Let k = 1 + s. Let v(y) = -y**2 + 11*y - 5. What are the prime factors of v(k)? 19 Let v = -865 - -233. What are the prime factors of (1/(10/v))/(1/(-5))? 2, 79 Suppose 4*h - 1785 = 3*p + 1629, 2*h = 5*p + 1700. What are the prime factors of h? 3, 5, 19 What are the prime factors of 58384/30 + 6/(-45)? 2, 7, 139 Let p(h) = 2*h**3 - 2*h**2 + 2*h + 666. What are the prime factors of p(0)? 2, 3, 37 Let b be ((-40)/6)/(8/(-12)). Suppose -h = h - b. Suppose -8 + 153 = h*g. List the prime factors of g. 29 Let k(q) = q**2 + 8*q - 18. Let a be k(-10). Suppose -a*x + 20 = -4*z, -4*z = x - 0*x + 14. What are the prime factors of x? 2 Let k(g) = -g**3 - 5*g**2 + 5*g + 7. Let x(d) = -d**3 - 2*d**2 + 2*d + 3. Let u(p) = -2*k(p) + 5*x(p). What are the prime factors of u(-1)? 2 Let m(r) = 21*r**3 + 3*r**2 + 3*r + 3. Let k be m(-2). Let o = k + 29. Let q = 190 + o. List the prime factors of q. 2, 3, 5 Suppose 0*v + 1350 = 3*v. List the prime factors of v. 2, 3, 5 Let w(d) = 270*d - 1098. List the prime factors of w(15). 2, 3, 41 Suppose o + 1593 = 1888. List the prime factors of o. 5, 59 Let i = 9 + -21. What are the prime factors of (4/2 - -1)*(-112)/i? 2, 7 Suppose -2*f + 25*x - 21*x = -6556, 5*f + 5*x = 16405. Let z be 1 - (-1)/(0 - -1). What are the prime factors of z/10 + f/100? 3, 11 Suppose -2*v + 0*p + 2368 = -3*p, 0 = 4*v + 5*p - 4780. What are the prime factors of v? 2, 5, 7, 17 Suppose -204 + 657 = w + 3*r, 1756 = 4*w - 2*r. What are the prime factors of w? 3, 7 Let u be (1/(-3))/((-7)/651). Suppose 5*h - n - 17 = 0, -5*n = -0*h + 4*h - u. Suppose 4*c - 3*k = 27, -4*c - 6 - 2 = h*k. What are the prime factors of c? 3 Let g = -15 + 85. Suppose 3*x - 236 = g. List the prime factors of x. 2, 3, 17 Suppose -c = -4*c - 120. Let z = -13 - c. List the prime factors of z. 3 Let j(q) = -2*q**2 - q + 18. Let w be j(8). Let i = w + 252. List the prime factors of i. 2, 67 Suppose -2*p - 274 - 142 = 0. List the prime factors of ((-12)/(-8))/((-6)/p). 2, 13 Let j be 3/(-3)*(0 - -4). Let k(f) = 6*f**2 + 3*f - 6. List the prime factors of k(j). 2, 3, 13 Suppose 0 = -3*w - 2*w. Suppose -l - 12 = -b, 5*b + 5*l - 80 = -w*l. Let p = 4 + b. What are the prime factors of p? 2, 3 Let a(q) be the second derivative of 32*q**4/3 + q**3/6 - q**2/2 + 25*q. List the prime factors of a(1). 2 Let t be 2 + -3 + (3 - -2). Suppose 7*h - t*h = 90. List the prime factors of h. 2, 3, 5 Let p(r) be the first derivative of -r**4/4 + 3*r**3 - 5*r**2 + 2*r + 2. Let f(n) = 2*n**2 - 11. Let i be f(3). What are the prime factors of p(i)? 2, 3, 5 Let t = 37 - 28. What are the prime factors of 570/t - 2/6? 3, 7 Suppose -6*n = -2704 - 290. What are the prime factors of n? 499 Suppose 3*g + 5*k - 1180 = 0, 4*k = -5*g - k + 1950. Let c = -221 + g. What are the prime factors of c? 2, 41 Suppose -144 = -6*a + 9*a. Let p be 1/5 - a/10. Suppose 0 = p*w + 3*y - 82, -5*w + 0*y = 4*y - 81. List the prime factors of w. 17 Suppose 8*i = 6*i + 6. Suppose 0 = -i*f + 6 + 63. List the prime factors of f. 23 Suppose 0 = 2*x - d - 4520, -13*d + 8*d = 10. What are the prime factors of x? 3, 251 Suppose 2*s = 129 + 277. List the prime factors of s. 7, 29 Let g be (-2104)/(-44) - (-2)/11. Suppose 7*a = 4*a - g. Let w = a + 23. List the prime factors of w. 7 Let w be (-12)/60 - 9/5. Let j = w - -77. What are the prime factors of j? 3, 5 Let x(y) = -y**3 + 8*y - 15. Let f be x(5). Let a = 142 + f. What are the prime factors of a? 2, 3, 7 Let r(x) = 645*x**3 + 2*x**2 + 3*x - 5. List the prime factors of r(1). 3, 5, 43 Suppose -4*f + 3*f = -13. Let q = 17 - f. Suppose o + 0*b = q*b + 18, -4*o = -5*b - 94. What are the prime factors of o? 2, 13 Suppose -82 - 362 = -6*n. What are the prime factors of n? 2, 37 Let z = -60 - 81. Let a = 369 + z. List the prime factors of a. 2, 3, 19 Let y(g) = -345*g + 195. What are the prime factors of y(-7)? 2, 3, 5, 29 List the prime factors of (-12)/(-20) - 474/(-10). 2, 3 Let j(s) = 5*s - 3. Let n be j(7). Let x = 74 + n. What are the prime factors of x? 2, 53 Let w = 291 + 671. List the prime factors of w. 2, 13, 37 Let t = 1574 + -995. Suppose t = -14*k + 17*k. List the prime factors of k. 193 Let t be (-6)/21 + 4 + (-48)/28. Suppose -t*n = -4*n + 108. List the prime factors of n. 2, 3 Let o(f) = f**2 - 9*f + 10. Let j be o(8). Let k = 9 + j. What are the prime factors of (-6)/(-1 + 9/k)? 3, 11 Suppose -m + 2*o + 3*o + 367 = 0, o = 2*m - 716. List the prime factors of m. 3, 7, 17 Let g(c) = -17*c**3 + c**2 + 6*c - 1. Let w(n) = -34*n**3 + 2*n**2 + 13*n - 2. Let j(k) = 7*g(k) - 3*w(k). List the prime factors of j(-2). 7, 19 Suppose 4*r + 4*n = 32, 2*n - 3*n = -r + 6. Let z(v) = 14*v - 17. What are the prime factors of z(r)? 3 Let j = 23 + 8. Suppose -j*f = -33*f + 32. List the prime factors of f. 2 Let k(b) = -b**2 + 8*b - 7. Suppose 2*z = -4*z + 36. What are the prime factors of k(z)? 5 Suppose -f = 3*v - 17, 2*f - 3*v = 16 - 0. Let i(g) = g - 6. Let a be i(f). Suppose -y + a*x + 42 = 0, -2 + 7 = -x. List the prime factors of y. 17 Let t(w) = -40*w - 37. Let s be t(-17). Let o = s - 404. List the prime factors of o. 239 Let z(p) = 5*p + 2. Let s = 31 + -27. Let w be z(s). What are the prime factors of ((-36)/(-24))/(1/w)? 3, 11 Suppose 0 = -q - 3*q - 52. Let c(w) = w**2 + 14*w + 11. Let y be c(q). List the prime factors of (-2 - -33)*(-2)/y. 31 Suppose -492 = -8*d + 4*d. Let y = 228 - d. List the prime factors of y. 3, 5, 7 Let o = -107 - -107. Suppose o*i + 4*t = 3*i - 303, 404 = 4*i + 3*t. List the prime factors of i. 101 Suppose 4*q + 1 = 9. Suppose 3*n + 20 = -3*c - n, -4*c = q*n + 40. What are the prime factors of (-11)/(-3)*(-9 - c)? 11 Let w(g) = g**2 - 6*g - 3. Let q be w(3). Let k be ((-90)/q)/(2/36). Suppose k = p + 4*p. List the prime factors of p. 3 Let u = 13 - 8. Suppose 2 = 6*q - u*q. Let z = q + 0. List the prime factors of z. 2 Let y = -4 + -28. List the prime factors of (y/30*3)/((-8)/100). 2, 5 Let g = 3380 + -2344. List the prime factors of g. 2, 7, 37 Let t = 544 + 853. What are the prime factors of t? 11, 127
Let l(q) = q**2 + 2*q + 2. Let y(s) = -92*s**2 + 138*s + 138. Determine 69*l(c) - y(c). 161*c**2 Let i(x) = x - 3. Let s(p) = -14*p + 14. Let h(y) = -3*i(y) - s(y). Suppose -32 = -3*z - 8. Suppose v + z = -v. Let j(k) = 5*k - 2. What is v*h(a) + 9*j(a)? a + 2 Let m(v) = -335*v**3 - 2*v**2 - 6*v - 2. Let n(w) = 334*w**3 + 3*w**2 + 9*w + 3. What is -3*m(d) - 2*n(d)? 337*d**3 Let p(k) = 291*k**3 + 10*k**2 - 5*k + 7. Let m(y) = 145*y**3 + 4*y**2 - 2*y + 3. Determine -5*m(u) + 2*p(u). -143*u**3 - 1 Let b(o) = -23*o. Let f(v) = 8*v. Suppose -448*c + 18 = -451*c. Give c*b(n) - 17*f(n). 2*n Let p(x) = 13*x**3 - 11*x**2 - 2*x + 1. Let z(h) = 9*h**3 - 7*h**2 - h + 1. Give -5*p(i) + 7*z(i). -2*i**3 + 6*i**2 + 3*i + 2 Let r(s) = 2*s**2 - s - 1. Let a(u) = 169*u**2 - 2*u. Calculate a(t) - 2*r(t). 165*t**2 + 2 Let u(p) = -17*p**2 - 5*p - 16. Let d(o) = 9*o**2 + 2*o + 7. Determine -7*d(a) - 3*u(a). -12*a**2 + a - 1 Let v(b) = -175*b**2 + 14*b + 14. Let m(j) = 59*j**2 - 5*j - 5. Calculate 14*m(q) + 5*v(q). -49*q**2 Let z(j) = -18*j + 2 + 2 + 10*j + 9*j. Let v(u) = -3. Calculate 3*v(n) + 2*z(n). 2*n - 1 Let k(g) = -12*g - 17. Let r(d) = -8*d - 11. Suppose 25*n + 18 = -107. Calculate n*k(o) + 8*r(o). -4*o - 3 Let d(k) = -9*k + 11. Let i(r) be the first derivative of r**2/2 - r - 35. Determine -2*d(t) - 22*i(t). -4*t Let j(i) = i - 2. Let q(d) = 4*d + 89. Give 2*j(v) - q(v). -2*v - 93 Let q(d) = -5*d - 4. Let r(s) = -5*s - 47. Let a be r(-9). Let w(g) = -g - 1. Give a*w(j) + q(j). -3*j - 2 Let j(q) = 4*q**2 + q. Let v(a) be the third derivative of a**4/24 + a**3/6 + 114*a**2. Determine -2*j(f) + 2*v(f). -8*f**2 + 2 Let p(v) = -3*v - 8. Let g(n) be the third derivative of n**4/2 + 11*n**3/2 + 99*n**2 + n. Determine -2*g(w) - 9*p(w). 3*w + 6 Let a(s) = -2*s**2 + 2*s + 18. Let b(p) = 5*p**2 - 6*p - 52. Determine -11*a(g) - 4*b(g). 2*g**2 + 2*g + 10 Suppose -4*j = -3*j + 5. Let l(y) = 12*y**2 - 7*y + 274 + 4*y**2 - 281 - 6*y - 13*y**3. Let v(i) = 9*i**3 - 11*i**2 + 9*i + 5. Give j*l(c) - 7*v(c). 2*c**3 - 3*c**2 + 2*c Suppose 0 + 4 = -4*p. Let r(h) = h**3 - h - 1. Let o(j) = 4 + 0*j + 2*j + 7 - 2. Let q(c) = c + 6. Let t(k) = -5*o(k) + 7*q(k). Give p*t(y) + 3*r(y). 3*y**3 Let g(l) = -5*l - 1. Let a be (-1)/((-2)/6*-1). Let c(v) = -9*v - 2. Let d be 15/(-6)*(-12)/10. Let b = 2 + d. What is a*c(s) + b*g(s)? 2*s + 1 Let k(m) = 5*m + 29. Let s(i) be the first derivative of -i**2/2 - 7*i - 9. Calculate -2*k(w) - 9*s(w). -w + 5 Let z(s) = s**3 - 37*s + 6. Let t(o) = 2*o**3 - 74*o + 13. Give 6*t(v) - 13*z(v). -v**3 + 37*v Let j(s) = -s**2 + 3. Suppose -2*k = -5*d + 42, -329*d - 4*k = -334*d + 44. Let l(f) = 3*f**2 - 9. Calculate d*j(m) + 3*l(m). m**2 - 3 Let c(l) = 2*l**3 - 3*l**2 - 2. Let n(z) = 5*z**3 - 5*z**2 - 3. Let k = 690 + -695. Calculate k*c(w) + 3*n(w). 5*w**3 + 1 Let t(g) = -4*g**2 - 2. Let x(b) be the first derivative of -16*b**3/3 - 9*b + 74. Give -26*t(p) + 6*x(p). 8*p**2 - 2 Suppose 4*f + 9 = -3*l, 0 = 3*l - 0*l - 3. Let u(y) = -y - 1. Suppose -9 = 5*i + 6. Let r(s) = 2*s + 1. Determine f*u(p) + i*r(p). -3*p Let c(k) = k**2 - 13*k - 20. Let q(n) = 6*n + 10. What is -2*c(g) - 5*q(g)? -2*g**2 - 4*g - 10 Let y(w) = -12*w**2 - 8*w - 8. Let a(t) = 4*t**2 + 3*t + 3. Calculate 11*a(c) + 4*y(c). -4*c**2 + c + 1 Let r(x) = x. Let h(v) = -11*v + 9. Calculate -h(p) + 2*r(p). 13*p - 9 Let k(d) = d**3 + 10*d**2 - 9*d + 3. Let p(y) = 2*y**3 + 32*y**2 - 28*y + 8. Calculate -8*k(w) + 3*p(w). -2*w**3 + 16*w**2 - 12*w Let t(p) = -4*p + 3. Let a(f) = 19*f - 6. Let z(c) = -2*c. Let o(n) = -a(n) - 6*z(n). Determine 6*o(v) - 11*t(v). 2*v + 3 Let j(f) = f + 5. Let w(v) = -v + 1. Let t(h) = -70*h - 139. Let y be t(-2). Determine y*j(z) - w(z). 2*z + 4 Let p(d) = 2*d + 1. Let w(x) = -1343*x - 711. Determine -1422*p(v) - 2*w(v). -158*v Let y(s) = 22*s + 21*s - 60*s - 5*s**2. Let r(c) = 3*c**2 + 9*c. Give 7*r(a) + 4*y(a). a**2 - 5*a Let j(w) = 4*w - 2*w**2 + 2*w**2 - 4*w**2 - 4 + 2*w**3. Let m(l) be the first derivative of l + 1/3*l**3 + 6 - 1/2*l**2. Calculate j(s) + 4*m(s). 2*s**3 Let b(q) = 33*q - 3. Let r(g) = 67*g - 7. Give -5*b(p) + 2*r(p). -31*p + 1 Let g(u) = 4*u**3 + 14*u**2 - 6*u - 1. Let j(d) = 2*d**3 + 7*d**2 - 3*d. What is -3*g(x) + 5*j(x)? -2*x**3 - 7*x**2 + 3*x + 3 Let g(k) = k. Let q(v) = -23*v - 7. Let j(h) = -4*h - 1. Let l(t) = -6*j(t) + q(t). Let p be -2 + 1 - 0 - 0. Give p*l(b) + 2*g(b). b + 1 Let t(z) = 4*z**2 - 70*z + 5. Let m(o) = 7*o**2 - 137*o + 9. Give -3*m(c) + 5*t(c). -c**2 + 61*c - 2 Let h(o) = o. Let w be h(6). Suppose -3*l = -w - 0. Let f(t) = -7*t. Let p(i) = 16*i. Let c(r) = 5*f(r) + 2*p(r). Let k(g) = g + 1. Give l*k(b) + c(b). -b + 2 Let b(j) = 21*j - 2266 + 2255 + 4*j. Let g(o) = 5*o - 2. Calculate -2*b(f) + 11*g(f). 5*f Let d(t) = t**3 - t**2 + t + 1. Let u(g) = -6*g + 7*g - 40 + 3*g. Let i be u(9). Let a(y) = 2*y**3 - 4*y**2 + y + 2. Determine i*d(j) + a(j). -2*j**3 - 3*j - 2 Let t(z) = -143*z**2 - 4*z - 1. Let v(i) = 72*i**2 + 2*i. Determine 2*t(s) + 5*v(s). 74*s**2 + 2*s - 2 Let q = -43 - -41. Let j(n) = -4*n. Let a be (1 + -1 + -1)*-1. Let r(k) = 9*k - 1 + a - 6*k. Determine q*j(w) - 3*r(w). -w Let a(u) = u**3 - 2*u**2 + u - 5. Suppose 5*m - t - 27 = 0, 5*m - 3*m + 4*t - 2 = 0. Let q(x) = 2*x**3 - 3*x**2 + x - 7. Determine m*q(v) - 7*a(v). 3*v**3 - v**2 - 2*v Let c(f) = -2*f**2 + f + 3. Suppose -5*d = -9 - 6. Let z(h) = -d*h + 16*h**2 + 4*h + 1 - 17*h**2. Let a be (-3)/3 - (-5 - -3). What is a*c(w) - 3*z(w)? w**2 - 2*w Let b(t) = 2*t**2 - 15. Let y(z) = -4*z**2 - z + 36. Let m(p) = 7*b(p) + 3*y(p). Let f(c) = -3*c**2 + 5*c - 5. Calculate 3*f(o) + 5*m(o). o**2 Let u(a) = 6*a**3 - 16*a**2 + 21*a - 13. Let j(g) = -3*g**3 + 7*g**2 - 10*g + 6. Give 9*j(l) + 4*u(l). -3*l**3 - l**2 - 6*l + 2 Let g(u) = -279*u**2 + 1 - 277*u**2 + 555*u**2 - 3*u**3. Let s(t) = 7*t**3 + 2*t**2 - 2. What is -9*g(n) - 4*s(n)? -n**3 + n**2 - 1 Let t(y) = -12*y - 14. Let q(u) = 11*u + 16. Give 4*q(p) + 5*t(p). -16*p - 6 Let d(o) be the first derivative of 2*o**3 - 3*o**2/2 - 84. Let a(f) = -17*f**2 + 8*f. Give -3*a(x) - 8*d(x). 3*x**2 Let p(n) = 2*n - 1. Let a be ((-1)/3)/((-2)/48). Let s = a - 7. Suppose s = d + 11. Let g(t) = -3*t + 2. Calculate d*p(f) - 6*g(f). -2*f - 2 Let i(w) = 5*w**2 + w - 3. Let k(v) = 26*v**2 + 5*v - 16. Calculate 22*i(m) - 4*k(m). 6*m**2 + 2*m - 2 Let n(b) = -7*b + 9. Let k(t) be the third derivative of -t**4/24 + t**3/6 + 213*t**2. Give -6*k(f) + n(f). -f + 3 Let o(u) = -2*u + 1 - 3 + u. Let h(r) be the first derivative of -r**2/2 - 2*r + 271. Let f = 5 + -2. Give f*o(m) - 4*h(m). m + 2 Suppose -f - 1 = -4. Suppose 2 + 10 = f*g. Let w(p) = p + 1. Let s(j) = -j + 4. Let d(n) = -n + 5. Let x(m) = -5*d(m) + 6*s(m). Determine g*w(i) + 6*x(i). -2*i - 2 Let j(l) = -5*l**2 + 6*l - 3. Let t(v) = 5*v**2 - 7*v + 3. Give -3*j(n) - 2*t(n). 5*n**2 - 4*n + 3 Let a(i) = 10*i**3 - 10*i - 43. Let f(o) = 5*o**3 - 6*o - 21. Give -3*a(b) + 5*f(b). -5*b**3 + 24 Let l(m) = 6*m**3 + 9*m + 5*m - 11*m - 5*m**2 + 0*m + 5. Let g(v) = -v - 1 + 0*v**3 + 2*v**3 + v**2 - 3*v**3. What is -5*g(k) - l(k)? -k**3 + 2*k Let p(l) = -140*l - 6. Let n(r) = -47*r - 2. Determine 11*n(y) - 4*p(y). 43*y + 2 Let r(g) = 19*g**2 - 13*g + 20. Let m(a) = 6*a**2 - 4*a + 7. Give -7*m(u) + 2*r(u). -4*u**2 + 2*u - 9 Suppose n + 4*n - 3*p = 36, -10 = -n + 2*p. Suppose n*w - 2 = 4*w. Let d(c) = -4*c**2 - 3*c + 6. Let m(a) = -a**2 - a + 1. Calculate w*d(t) - 6*m(t). 2*t**2 + 3*t Let d(v) = -v**2 - 3*v + 3. Let t(b) = 2*b - 2. Let c = 5 - 2. Suppose c*k = 2*g - 4, k - 22 = -5*g + g. Let o = -1877 + 1880. What is k*d(w) + o*t(w)? -2*w**2 Suppose 35 - 19 = -4*m. Let k(v) = v**2 - 5*v - 17. Let c(t) = -2*t - 9. Let n(a) = 5*c(a) - 3*k(a). Let i(b) = 2*b**2 - 4*b - 5. Calculate m*i(p) - 3*n(p). p**2 + p + 2 Let s(d) = 2*d**3 - d**2 - 5*d + 11. Let p(y) = 3*y - 6 + y**2 - 347*y**3 + 173*y**3 + 173*y**3. Determine 5*p(r) + 3*s(r). r**3 + 2*r**2 + 3 Let c(f) = -5*f**2 + 10*f. Suppose -3*q + 27 = -2*p, -4*p - 10 - 29 = -q. Let d(i) = -2*i**2 + 5*i. Give p*d(u) + 4*c(u). -2*u**2 - 5*u Let h(q) = -130*q**3 - 5*q**2 - 10*q. Let f(c) = -131*c**3 - 6*c**2 - 12*c. Calculate -5*f(y) + 6*h(y). -125*y**3 Let u(n) = 5*n**2 - 7*n - 4. Let i(j) be the first derivative of 2*j**3 - 4*j**2 - 5*j + 29. What is -3*i(a) + 4*u(a)? 2*a**2 - 4*a - 1 Let n(p) = -p**3 - 3*p + 2. Let j(t) = t**2 + 4*t + 6. Let m be j(-3). Let d(y) = -9*y**3 + 4*y**3 + 3 + m*y**3 - 4*y. Determine 2*d(h) - 3*n(h). -h**3 + h
Let d(z) = z + 47. What is the least common multiple of d(-19) and 28? 28 Suppose w + 60 = -4*y - 13, 4*w + 2*y = -222. Let z = w + 80. Suppose 3*x = 2*x + c, 4*c - z = -5*x. Calculate the lowest common multiple of 1 and x. 3 Let b = -186/1566280165 + 3282921692274259/275483620540860. Let j = b - 4/14657. What is the common denominator of 61/18 and j? 36 Let j be (11/2)/(-4 + 57/14). Let i(h) = 15*h**2 - h. What is the smallest common multiple of i(1) and 165/j + (-2)/14? 14 Suppose 0 = 5*l - 3*d - 119, 0*d = 4*l - 2*d - 94. Let r = -15 + l. Calculate the smallest common multiple of r and 11. 77 Calculate the common denominator of 51/55 and (-6 - 2390/(-385))/((-2)/(-4)). 385 Suppose 4*u - 2*f + 3 = -3, -5*u + 3*f = 7. Let r be -2 + (u - -2) - 728. Calculate the common denominator of 27/4 and ((-2)/5)/(8/r). 4 Suppose -65852 = 5*s + t, 4*s = -3*t - 0*t - 52686. Let y be (42/12)/((-8)/s). Let h = 5774 - y. Find the common denominator of h and 41/4. 8 Suppose 2 = -p - 0. Find the common denominator of 2178/(-189) + p/14 and 11/19. 57 Let t = -3049325122702/35 - -87166990251. Let b = t - 43418264. Let j = b + 2947. What is the common denominator of -79/6 and j? 210 Let u(k) = -k**3 - 39*k**2 + 36*k + 90. What is the smallest common multiple of u(-40) and 30? 750 Find the common denominator of -2 + 21/6 - (-152)/(-40) and -81/50. 50 Let l = -262 - -282. What is the smallest common multiple of 40 and l? 40 Let z = 2129 - 2096. Let x(r) = 3*r**2 + 4*r. Calculate the lowest common multiple of x(3) and z. 429 Suppose -2*k + 56 = 58. What is the common denominator of ((-15)/(-60))/(k/58) and ((-6)/40)/((-2)/115)? 8 What is the common denominator of -63/22 and (-152)/20 + 7 - 3/170? 374 Find the common denominator of 27/328 and 6/(-40) + 13/(-65). 1640 Let m(n) = -7*n - 94. What is the lowest common multiple of m(-16) and 108? 108 Suppose 5*x = 3*r - 31, -2*r + 2*x + 10 + 12 = 0. Suppose n + 9 - 3 = 2*b, -4*n = b - r. Calculate the lowest common multiple of n and 7. 14 What is the common denominator of (-6)/(-16) - (-9 + 32011/3672) and -13/5? 540 Find the common denominator of (-2)/(-19) - (-3140)/(-10032)*6 and 6/(-21) - (-409)/182. 286 Suppose -7 = 3*r - 16. Suppose r*o = 2*w - 4, -3*o = -4*w + 19 + 1. Calculate the common denominator of -6 and w/20 + -3 + 1. 5 Suppose -2 = 33*p - 34*p. What is the lowest common multiple of 46 and p? 46 Suppose 16*i - 520 - 360 = 0. What is the smallest common multiple of i and 450? 4950 Let k be -2*1*(-4)/(-6 + 10). Suppose 12 = -k*x + 4*x. What is the smallest common multiple of x and 16? 48 Suppose -3*c + 2*u + 112 = -15, 2*c - 3*u - 78 = 0. Calculate the lowest common multiple of c and 81. 405 Calculate the lowest common multiple of 20 and (-3)/(-12) - (-3367)/52. 260 Let p = -20 - -14. Let v(n) = -n + 9. Let l be v(p). Let i = l + -11. Calculate the least common multiple of i and 9. 36 Suppose 3*u - 308 = -u - 3*b, 148 = 2*u + 3*b. Suppose -3*m = 23 - u. What is the smallest common multiple of m and 3? 57 Suppose -5*x + 264 = -33*v + 30*v, -5*v - 44 = -x. What is the least common multiple of x and 6? 54 Let g(h) = 2*h**3 + 13*h**2 + 17*h + 32. What is the smallest common multiple of g(-5) and 2? 22 Suppose 2*k = -4*c + 1550, -3*k + 20 = k. Let s = c - 751/2. What is the common denominator of s and -33/4? 4 Suppose 0 = -5*k - 3*o - 758, 0*o + 142 = -k - 3*o. Let a be (-5)/5 - 144/k. Let i = -2397/154 - a. Calculate the common denominator of i and -77/4. 4 Let j(i) = i**3 - i + 4. Let z be j(0). Let t be -41 + z/3*-3. Calculate the lowest common multiple of 11 and (-5)/20 + t/(-4). 11 Let o(t) be the second derivative of 3*t**5/20 - t**3/2 - 2*t**2 + t. Let q be o(-11). Let b = -55579/14 - q. Find the common denominator of b and -93/10. 70 Suppose -2*f - 3*f = -40. Calculate the common denominator of 63/6*6/f and 1010/(-180) - (1*-2 + -2). 72 Let v be (-3)/1*(-30)/9. What is the smallest common multiple of 20 and 2/10 + 178/v? 180 Let p(q) = -35*q + 885. What is the lowest common multiple of 495 and p(25)? 990 Let l(k) = k**2 - 7*k + 32. What is the lowest common multiple of l(3) and 342? 3420 Let g = -3931/6258 - -12/149. What is the common denominator of (-2)/((-12)/94 + 0) and g? 42 Suppose g = 10*g - 117. What is the common denominator of (-18 - -11)*g/(-22) and 65/68? 748 Let z = -1537/2884 - 2/721. Let b = 5773/5 - 92083/80. Find the common denominator of b and z. 112 Let w = -48313/11 + 4389. Calculate the common denominator of w and 118/15 - 7/(-21). 55 Let f(l) = l**2 + 9*l + 15. Let z = -227 - -238. What is the smallest common multiple of f(-9) and z? 165 Let w be (-2 - -5)/1 - 6. Let a(q) = -44*q**3 - 5*q**2 - 4*q - 3. Let u be a(w). Let b = u + -9243/8. Calculate the common denominator of b and 51/20. 40 Let f(d) = -4*d + 2*d - 14 - 2*d + d. What is the lowest common multiple of 14 and f(-6)? 28 Let d(j) = 2*j**3 + 8*j**2 - 2*j - 9. Let a(p) = p**3 + 8*p**2 - 2*p - 8. Let x(o) = -3*a(o) + 2*d(o). Calculate the least common multiple of x(8) and 18. 198 Let n(y) = -y**3 - 6*y**2. Let l be n(-5). Suppose 0 = -3*k - 8*c + 3*c + 13, -3*k + 3 = 3*c. What is the common denominator of 119/18 and (l/2 - k)*-1? 18 Let i = 37 - 33. Let t = 3/200 + -583/200. What is the common denominator of 6/i - 182/16 and t? 40 Suppose 13 = 8*y - 5*y - 2*p, -8 = 4*p. Suppose -7*z + 3*z - y*w = -157, 2*w = 2*z - 82. Calculate the least common multiple of 16 and z. 80 Suppose t = 5*s + 347, 0*t - 2*t = -2*s - 134. Let j = 88 + s. Calculate the smallest common multiple of 294 and j. 882 Let f(p) = -p**3 - p**2 - 2*p + 1. Let b be f(-7). Let q = -4941/16 + b. Calculate the common denominator of 296/4*(-3)/(-12) and q. 16 Suppose -4848 = -70*f + 54*f. What is the smallest common multiple of f and 15? 1515 Let v(j) = j + 1. Let r = -5 + 11. Let n = 9 - 3. Calculate the least common multiple of n and v(r). 42 Suppose -3*n = y - 6*y - 164, -4*n = -y - 196. Let o = n + -45. Calculate the smallest common multiple of o and 11. 33 Suppose 4 = -2*a, 4*t - 8 = 2*a + 68. Suppose -2*x - 5 = -4*x + w, -4*x + 4*w = -4. Calculate the least common multiple of x and t. 36 Suppose f - 27 + 11 = 0. Let w = 7 - -5. Calculate the least common multiple of w and f. 48 Let o be (-1 + 2)*(0 - 16). Let i = o - -22. Calculate the least common multiple of (-29)/87*(-6 - -3) and i. 6 What is the lowest common multiple of 1 and (-30)/195 + 16908/52? 325 Let t = -147 + 169. Calculate the lowest common multiple of 116 and t. 1276 Calculate the common denominator of 103/12 and 38/1710*(-213)/(-2). 60 Let h(n) = n**3 + 22*n**2 - 8*n + 37. Calculate the smallest common multiple of h(-22) and 21. 1491 Let r = 1/1678 - -15516/9229. Let t = -1146693/40 + 28665. Find the common denominator of t and r. 440 What is the lowest common multiple of 7 and (6 + 1)*(-8 + 10)? 14 What is the least common multiple of 5 + 1/(-2)*(-2 + -36) and 6? 24 Suppose -3*p + 10 - 1 = 0. Suppose 29 = 10*v - 41. Let k = v + p. What is the least common multiple of 6 and k? 30 What is the least common multiple of -24*55/(-99)*6 and 184? 1840 Let a = -3 + 7. Suppose 0 = -2*l - n + 1 + 4, -a*l = 4*n - 12. Calculate the least common multiple of (-10)/(-36)*46 + (-20)/(-90) and l. 26 Suppose 57*u = 54*u - 5*y + 75, 2*y = 5*u - 156. Calculate the least common multiple of 69 and u. 690 Suppose 0 = -d - y + 16, -2*d + 3 = y - 34. What is the smallest common multiple of 14 and d? 42 Let h = -1188 + 1237. Calculate the least common multiple of h and 175. 1225 Let g = -559 + 571. What is the least common multiple of g and 180? 180 Let p = -13366/5 - -2682. Let f = -635683/1118 - -50/559. Let o = -581 - f. Calculate the common denominator of p and o. 10 Let g = 42 + -40. What is the common denominator of (-14)/(-30)*(-162)/12 and g - (12/(-30))/(24/(-610))? 30 Suppose 12 = -4*j + 5*j. Let h = 1434 + -1401. What is the lowest common multiple of h and j? 132 Find the common denominator of ((-8)/24)/((-786)/6) and 16/9. 1179 Let c = 224755/38169 - -2/4241. Let y = -536 + 3341/6. What is the common denominator of y and c? 18 Calculate the common denominator of 3/4 and 3/(-2) + 5/((-1120)/(-482)). 112 Calculate the common denominator of (-627)/(-180) + 26/39 and 47/298. 2980 Let r be 30/28*4/402. Let a = -19119/10318 - r. Find the common denominator of a and -23/4. 44 Let r = 1441 + -1303. What is the least common multiple of r and 18? 414 Let p(c) = 2*c**3 + 21*c**2 + 8*c + 53. Calculate the lowest common multiple of 42 and p(-9). 672
Suppose c + 10 = 6*c. Let o be 6*(c + (-3)/(-6)). Suppose 7*f - 2*f = a - o, -4*a = 2*f - 16. Solve 0*m - 10 = a*m for m. -2 Let t(w) = w**2 - w - 2. Let k be t(2). Solve k = p - 4*p - 9 for p. -3 Let v be (4 - 2 - 2/(-2)) + 2. Solve 25 = -4*b + v for b. -5 Suppose 13*k + 0*k - 52 = 0. Solve 1 = -k*d - 19 for d. -5 Let u(z) = -3*z + 20. Let s be u(6). Solve 6 = -s*p - p for p. -2 Let i = 5 + -15. Let l = -10 - i. Suppose 6*h = h + 15. Solve 15 + l = h*c for c. 5 Let a(h) = 2*h**2 - h - 9. Let n be a(3). Solve -n*t = -4*t - 6 for t. 3 Let t(p) = 6*p**2 + 2*p - 5. Let d be t(2). Solve -5*x + 8 = d for x. -3 Let f(h) = 2*h + 27. Let p be f(-12). Solve 0 = -r + p - 0 for r. 3 Suppose 18 = -2*z - n, n = -3*z - 3 - 22. Let r be (-120)/(-42)*z/(-2). Solve -3*m + 2 = -r for m. 4 Let z be 2*(3 + -2)/(-1). Let g = z - 1. Let q be -3 + (-24)/g - 1. Solve 0*u - q = u for u. -4 Let x = -16 - -34. Let l = 30 - x. Suppose -3*z + l = -0*z. Solve 0*k + z*k + 4 = 0 for k. -1 Let i be ((-16)/(-6))/(20/30). Solve i*g + 4 = 8 for g. 1 Let p(s) = -8*s**2 + 3*s - 2. Let d(f) = -7*f**2 + 2*f - 1. Let n = 2 + -5. Let u(a) = n*d(a) + 2*p(a). Let q be u(1). Solve 0 = -i + q - 2 for i. 2 Suppose 5*d = 9*d - 12. Solve d*o = -2*o for o. 0 Let o(p) = -p**3 - p**2 + p. Let l be o(2). Let t = 35 + l. Solve 3*w = -2*w - t for w. -5 Let i be 7/(-42) - (-7)/6. Let q be (12/8)/(i/2). Solve q*d + 3 = -12 for d. -5 Suppose 5 = -5*r + 15. Solve r*m = -0 - 2 for m. -1 Suppose 0*y = -y - c - 1, 2*c = y - 14. Let v = 4 - y. Suppose -2*g + 5 - 1 = v. Solve g*i = 4*i + 2 for i. -1 Let i be ((-8)/(2 - -2))/(-1). Solve 2*z + 0*z - i = 0 for z. 1 Let i = 11 + -6. Suppose -17 = -i*m - 3*u, 5*m - 4*u = u + 25. Solve -m*p - 1 - 11 = 0 for p. -3 Let u be 6/(-27) - (-6)/27. Solve u = -0*z + 3*z + 9 for z. -3 Let u(o) = 2*o**3 - 4*o**2 - 5*o - 1. Let v(x) = 2*x**3 - 5*x**2 - 6*x - 1. Let g(k) = 6*u(k) - 5*v(k). Let p be g(1). Solve -i = p*i for i. 0 Suppose -3 = -2*s + 5*h - 2, 11 = 5*s - 4*h. Solve -2*j = s*j - 5 for j. 1 Let z = -10 - -2. Suppose -20 - 3 = 2*a - 3*b, 2*b = 4*a + 34. Let l be z/(-28) + (-68)/a. Solve -2*v + l = -0*v for v. 5 Suppose -3*o - 12 = 0, -k - 2*o + 0 = 5. Solve k*s + 2*s + 15 = 0 for s. -3 Suppose -51 = -5*q + 4*t, 42 = 4*q - t - t. Let k = 17 - q. Solve -2*r - 4 = -k for r. 1 Let y(g) = -g + 3. Let i = 1 + 1. Let j be y(i). Let x be 16/(-10)*(-5)/2. Solve -x = -m + j for m. 5 Let t = -137 + 137. Solve 6*w - 11*w + 10 = t for w. 2 Suppose 5*w - 170 = -55. Suppose -n - w = -2*n. Solve -8 = -3*a - n for a. -5 Let j = -35 - -83. Let g be j/2*15/20. Solve -5*v + g = -7 for v. 5 Let s = -1 - -6. Let c = -18 + 18. Solve w - s*w = c for w. 0 Suppose -4 + 17 = d - o, 5*o + 17 = d. Solve -3*a + d = 3 for a. 3 Suppose 5*x - 23 = 2*k, -4*x + 3*x + 1 = -4*k. Solve -l + 0*l = k for l. -1 Suppose -3*y = -0*y - 4*q - 18, -5*y - 2 = 4*q. Suppose -y*v + 5 = -p - 0*p, -p = 4*v - 19. Solve 3 = -p*o - 9 for o. -4 Let n(u) be the first derivative of -1 - 1/3*u**3 + 7/2*u**2 - u. Let b be n(6). Solve 22 + 3 = b*t for t. 5 Let w(r) = -r**2 + 2*r. Let f be w(2). Let j be ((-6)/2 - -4) + f. Solve 3 = -2*l + j for l. -1 Let t be (-27)/(-12) - 2/8. Suppose -n + 3*n = -t. Let o be (0/(-2))/(1 - n). Solve 5*x = -o*x - 10 for x. -2 Suppose 0 = -0*w + 2*w - 6. Suppose 5*u - 5*c + 65 = 0, 2 = -u - 2*c - 14. Let s = -6 - u. Solve -2 + s = w*n for n. 2 Suppose c = -3*s - 10, -c + 0*s + 14 = -5*s. Let j be (2 - -1)/((-1)/c). Suppose j*r - 3 = 3. Solve h = -r*h for h. 0 Suppose -2*z = -6*z + 16. Solve 4 = -z*d + 2*d for d. -2 Suppose 4*o + 0*r - 2*r = -50, -3*o - 31 = 5*r. Let t be (2 - o/(-9))*3. Solve 0 = t*v - 7*v for v. 0 Let n(h) = h - 7. Let r = -14 - -22. Let c be n(r). Suppose -s + 1 = -c. Solve -s*p = -p + 5 for p. -5 Suppose v - 13 = 3*h, -5*h - 11 + 0 = v. Suppose 0 = v*j - 3*j. Solve j = -r - 2*r - 6 for r. -2 Let p be (2 - -1)*1 - 0. Suppose -8 - 32 = -5*d. Suppose p*n - d - 4 = 0. Solve 0 = -n*c + 8 - 20 for c. -3 Let d = 5 - -1. Suppose d = 2*s + 2. Suppose s*a = -a + 18. Solve -2*k - k = a for k. -2 Let c = 43 + -40. Solve -20 = c*y - 8*y for y. 4 Let a be ((-5)/(-3))/(1/(-3)). Let h(j) = j**2 + 9*j - 8. Let v(p) = p**2 + 10*p - 9. Let t(c) = 6*h(c) - 5*v(c). Let l be t(a). Solve -x = -l - 2 for x. 4 Let y be (8/10)/(12/60). Suppose y*f - 2*f = 4. Solve 0 = -f*d - 0*d for d. 0 Let l(i) = i**2 - 8*i + 23. Let u be l(5). Solve -u*s = -4*s + 12 for s. -3 Let z be (-1 - 1)/((-2)/6). Let v(i) = i**2 + 3*i - 13. Let k be v(-6). Solve z = k*a - 19 for a. 5 Let g = 22 - 15. Let l = 11 - g. Suppose -l = -4*y + 2*y. Solve 2 = y*d - 4*d for d. -1 Suppose 0 = -4*w + 12, -4*m + 29 = -3*w + 6*w. Solve 0*g = m*g for g. 0 Let w be (2 + 15)/(2/6). Suppose 0 = -s - 2*s + w. Let h = -12 + s. Solve 3*x = h*x - 6 for x. 3 Let k = 361 + -334. Let t(a) = -a + 4. Let c be t(4). Suppose c = -2*j + 1 + 3. Solve -5*x + k = j for x. 5 Let t(s) = -s**2 + 5*s + 1. Let p be t(4). Let y = -13 + 22. Suppose -i = -a - 3, p*i - 4*a - 3 = y. Solve i = d - 2*d for d. 0 Suppose -3 = 103*f - 104*f. Solve 2*i + f - 1 = 0 for i. -1 Let k = 2 - -7. Let q be 22/(-18) + 2/k. Let u be (2/6)/(q/(-15)). Solve -u*b = -0*b + 5 for b. -1 Let t = -4 - -8. Let n(y) = -y**3 + y**2 + 3*y + 3. Let j be n(-2). Suppose -j = -t*c - 1. Solve -c - 2 = -2*f for f. 2 Suppose -2*o - 2 = 2*z, -2*z = 4*o - 6*z - 4. Solve -2*r - 2*r + 20 = o for r. 5 Let q(v) be the second derivative of -v**4/12 - v**3/6 + 2*v**2 + v. Let h be q(0). Let s(r) = r**3 - 4*r**2 + 3. Let x be s(h). Solve 0*j + x*j = -12 for j. -4 Let p be 74/6 + (-10)/30. Suppose -s = 2, 5*s = -j + 3*j - p. Solve -j = -2*t + 3*t for t. -1 Let t be 0 + 7 + 24/(-8). Suppose 2*f + n + 2*n = 13, -16 = -2*f - t*n. Solve -3*y + f - 14 = 0 for y. -4 Suppose -5*u = -8 - 7. Solve h - 10 = u*h for h. -5 Let z = 15 - 11. Suppose g + o - 9 = -o, -3*g = -5*o - 27. Suppose 2*n - g = -b, 3*n - 5*b = n - 9. Solve -5*u + z = -n*u for u. 2 Let m(r) = -r**3 + 4*r**2 + 5*r + 2. Let p be m(5). Let z be (2/2)/(1/3). Solve p = -4*v + z*v for v. -2 Let f = 25 - 23. Solve -6*n = -f*n - 12 for n. 3 Suppose k + j = 4, 2*k + 3*j - 6 = -0*k. Solve 0 = 5*i + 4 + k for i. -2 Let f = -12 - -4. Let b be (-25)/(-2) - 4/f. Let o = b + -7. Solve -n - 15 = -o*n for n. 3 Suppose -4*c - 3*s + 11 = 0, 0 + 1 = 2*c - 3*s. Solve z - 2*z = -c for z. 2 Suppose -6 = -2*w + 10. Let q = 18 - w. Solve g - q = -g for g. 5 Let x(y) be the second derivative of y**3/6 + 3*y**2/2 - 3*y. Let v be x(0). Suppose 0*l = l - 3*c - 3, v*l + 3*c = -3. Solve 2*g + 2*g - 20 = l for g. 5 Let f(k) = -2*k. Let z(u) = u - 1. Let b(q) = f(q) + 6*z(q). Let j = -3 - -7. Let t be b(j). Solve 0 = -3*w - 2*w - t for w. -2 Let j(a) = a + 11. Let m be j(-5). Solve -m*i + 2*i + 8 = 0 for i. 2 Let m = 0 + 2. Let z(l) = -l - 3 + 4*l**2 + 6*l - 3*l**m. Let h be z(-6). Solve -5 - 1 = -h*k for k. 2 Suppose -5*d - 3*w - 9 = -4*d, 0 = 2*w + 6. Solve q - 3 = -d*q for q. 3 Let q = 5 - 2. Let a be -2 + q + 1*2. Solve a*l + 11 = 2 for l. -3 Suppose 3*y = -3*p + 45, 20 = 2*y - 4*p - 10. Let j be 2*(1 + -2) - -9. Solve 4*i = j*i + y for i. -5 Let h = -4 - -7. Let g be 10*(-1)/(0 + -1). Suppose g*p = 5*p + 30. Solve 0 = s - h*s + p for s. 3 Suppose 0 = 4*h - 2 - 2. Suppose 4*j + h = 21. Solve 0*p + 20 = j*p for p. 4 Let y(d) = -d + 1. Let g be (5/(-3))/(2/6). Let c be y(g). Let t be (-10)/(-5) + -1 + 1. Solve -t*m - c = m for m. -2 Let m = 10 + -6. Solve -j = -m*j - 6 for j. -2 Let t be ((-4)/7)/((-3)/21). Solve -t*k - k = 0 for k. 0 Let t(m) = -m + 2. Let j be t(-1). Solve 0*w - j = -w for w. 3 Suppose -6 = -2*c - 4*s + 5*s, 15 = 5*c + 3*s. Solve 0 - 15 = -c*d for d. 5 Let t(s) = s**2 - 7*s - 6. Let x(w) = -w**3 - 13*w**2 - w - 3. Let p be x(-13). Let j be t(p). Solve -1 = -5*r + j for r. 5 Suppose -38*a - 80 = -43*a. Solve -5*w + 4 + a = 0 for w. 4 Suppose 14 = -2*x + 7*c - 3*c, 15 = -2*x + 3*c. Let n be 6/x*6*-1. Solve n - 5 = -k for k. 1 Let p(b) = -b**2 - 12*b - 5. Let z be p(-9). Solve 5*t - z = 3 for t. 5 Let w be 12/6*38/(-4). Let m = -16 - w. Solve m*j = -4 - 2 for j. -2 Suppose 5*h = 8 + 2. Let b = 9 + -15. Let r be -1*3/(b/4). Solve 0 = r*z + 10 - h for z. -4 Suppose -1 = 4*t - 9. Let d be t/(-12) + 4/24. Solve -5*a = 5 - d for a. -1 Suppose -3*o + 31 = b + 8, -5*b - 13 = -o. Let w = 3 - 1. Suppose -5*t + 1 = -w*x, 3*x = t - 4 + 9. Solve -2*s - o = x*s for s. -2 Suppose 3*d = -4*i - 59, 3*i + 13 + 2 = 0. Let k be -2*1 - 26/d. Solve k = 3*g - 0*g for g. 0
Let s(y) = -6*y**2 + y. Let w be s(1). Let a(n) = -4*n - 2*n + 0*n + 2*n - 5. What is the remainder when a(w) is divided by 9? 6 Let n = 8 + 1. Suppose -r - n = -2*r. Calculate the remainder when r is divided by 6. 3 Suppose -9 = 2*g - 3*g - 3*c, -15 = -2*g - 3*c. Let z(n) = -4*n - 4. Let y be z(2). Let m = y - -22. Calculate the remainder when m is divided by g. 4 Suppose 3*f - 17 = 4. What is the remainder when 13 is divided by f? 6 Calculate the remainder when (18*(-18)/(-16))/((-7)/(-28)) is divided by 21. 18 Calculate the remainder when (-27)/(-4)*(-96)/(-8) is divided by 14. 11 Let v(j) = -2*j + 4. Suppose -c - 2*c = -114. What is the remainder when c is divided by v(-3)? 8 Let l(u) = -u**2 - 2*u + 17. What is the remainder when l(0) is divided by 10? 7 What is the remainder when 66 is divided by 0 - (-2 - -48)/(-2 + 0)? 20 Let t be (6/(-1))/((-12)/40). Let r be (3 - 4)*(0 - 0). Suppose r*s + t = 5*s. What is the remainder when 9 is divided by s? 1 Suppose 5*c + 5 = 60. Suppose -5*d + l + 2 + 13 = 0, 0 = -d + 2*l + 12. Suppose 5*k - d*k = 63. Calculate the remainder when k is divided by c. 10 Suppose -2*g + 68 = -14. Let y(m) = -m**3 + 5*m + 2. Let k(d) = d**3 - 4*d**2 - 6*d + 2. Let p be k(5). What is the remainder when g is divided by y(p)? 13 Suppose -g = 7 - 24. Let f be 30/(-8) + 2/(-8). Calculate the remainder when g is divided by 1/f + (-25)/(-4). 5 Suppose 18*y - 6*y - 1668 = 0. Calculate the remainder when y is divided by 36. 31 Suppose 3 = 4*o - 13. Calculate the remainder when 14 is divided by o. 2 Suppose 0 = 4*m - 124 - 4. Let t = -18 + m. Calculate the remainder when 39 is divided by t. 11 Let j(f) = f**3 + 6*f**2 + f - 1. Suppose -3*y - 12 = y, -y = -d + 59. Calculate the remainder when d is divided by j(-5). 18 Let h(s) = s**3 + 2*s**2 + s. Let i be h(-1). Calculate the remainder when 11 - i/((-4)/4) is divided by 7. 4 Calculate the remainder when 236 is divided by 10/4*216/9. 56 Let t(l) = 32*l + 1. Let k be t(-1). Let g be ((-3)/(-2))/(9/12) - 62. Let u = k - g. Calculate the remainder when u is divided by 10. 9 Let f = 15 - -43. What is the remainder when f is divided by 15? 13 Let t(b) = b**2 + 10*b + 12. Let h be t(-9). Calculate the remainder when 117 is divided by -28*(2 - h) + 2. 27 Calculate the remainder when 65 is divided by (13 - -7) + (-1)/((-2)/4). 21 Suppose -j - 10 = -c + 3*j, 4*c = j + 40. What is the remainder when c is divided by 3? 1 Let a = -9 + 2. Let c = -5 - a. Suppose -21 = -c*k + 5. Calculate the remainder when 25 is divided by k. 12 Let n be 27/5 + 6/(-15). Suppose 2*z = -2*u + 52, -n*u + 3*z + 122 = -0*u. Let q(h) = 3*h - 9. Calculate the remainder when u is divided by q(6). 7 Suppose -2*r - 54 = -4*s, 3*s - 5*r - 51 = -s. Suppose 0 = o - 6 + 3. Calculate the remainder when 108/s - 4/(-14) is divided by o. 2 Let s = 21 - 15. Suppose p = -5*l + 18, l - 12 = -l + 2*p. Suppose 4 = 2*y, l*k - 60 = y + y. What is the remainder when k is divided by s? 4 Let v(z) = 4*z**2 - 3*z - 2. Let p be ((-4)/(-10))/((-2)/10). Let h(i) = -i**3 + 9*i**2 + i + 2. What is the remainder when v(p) is divided by h(9)? 9 Suppose -3*s = -2*t - 11 - 5, -4*s + 12 = -5*t. What is the remainder when 21 is divided by s? 5 Suppose 73 = -4*h + 2*j - 7*j, 0 = -h - 2*j - 19. Let o = 29 + h. Calculate the remainder when 20 is divided by (-3)/o - 45/(-4). 9 Suppose 7 - 162 = -5*l. Calculate the remainder when l is divided by 11. 9 Suppose -76 = -3*i + 3*h - 25, -i - 2*h + 8 = 0. What is the remainder when 68 is divided by i? 12 Suppose -79*y + 70*y + 468 = 0. Suppose 8 = h - 10. What is the remainder when y is divided by h? 16 Suppose 5*x + 0*x - 95 = 0. Let r = x - 0. What is the remainder when 37 is divided by r? 18 Let l = -4 + 7. Suppose s + 0*s = l. Calculate the remainder when 6 is divided by s. 0 What is the remainder when (-1*20 - 0)/(-2 - 0) is divided by 8? 2 Let d = 1 - -1. Suppose -m = -g - 19, -35 = -3*m + m + g. Calculate the remainder when (1 - 2)*(-33 + d) is divided by m. 15 What is the remainder when (-1)/(168/57 + -3) is divided by 10? 9 Suppose 761 = 9*y - 292. What is the remainder when y is divided by 40? 37 Let x = -3 + 5. Suppose 8 = x*p + 4. Suppose -3*s - 2*c + 6*c = -46, 0 = p*s + 5*c. Calculate the remainder when s is divided by 4. 2 Suppose -5*p = -r + 59 - 200, 3 = -3*r. Suppose 0 = -3*c + 5*k + 16, 3*c - 4*k = 4*c - 28. What is the remainder when p is divided by (-6)/(-36) + 118/c? 8 Let z = 28 + -5. What is the remainder when z is divided by 8? 7 Let x(b) = -2*b + 3. Let g(h) = h. Let d(f) = 2*g(f) - x(f). Let c(k) = 2*k**2 - 20*k + 3. What is the remainder when c(11) is divided by d(4)? 12 Suppose -359 = 5*f + 611. Let a = 108 + f. Calculate the remainder when a/(-4) + 1/(-2) is divided by 11. 10 Suppose -f - 4*f + 4*s + 151 = 0, 4*f - 4*s = 124. Let g = -16 + f. Calculate the remainder when g is divided by 4. 3 Suppose -3*r = -7*r + 60. Calculate the remainder when 57 is divided by r. 12 Let n(p) = -p. Let d be n(-4). Let w(j) = j**3 - 5*j**2 + 5*j - 2. Suppose -5*i = -2*i - 9. Calculate the remainder when i is divided by w(d). 1 Suppose 2*s - 7 - 1 = 0. Suppose 2 = -3*o + 44. What is the remainder when o is divided by s? 2 Let k = -37 - -82. Calculate the remainder when k is divided by 16. 13 Suppose 3*s = 2*s - 5*p, -5*p - 15 = 0. Suppose j - 4*g = -4*j + 390, 3*j - 234 = g. Suppose -j = -5*i + 137. What is the remainder when i is divided by s? 13 Let u(i) = 5*i**3 - 2*i**2 - i - 2. Let p be u(2). Let b = p - -5. Calculate the remainder when b is divided by (102/(-9))/(2/(-3)). 16 Let c = -22 + 33. What is the remainder when c is divided by 7? 4 Suppose 4*i - p = -48, -3*p = i - 20 + 45. Let y(d) = -2*d**3 + 2*d**2 - 1. Let z be y(1). Let u = z - i. Calculate the remainder when u is divided by 7. 5 Let x = -13 + 16. Calculate the remainder when 91 + -1 - 1 - x is divided by 22. 20 Let v = 1 - -4. Suppose v*l = -5*x - 15, -x + 6*x + 31 = 3*l. Calculate the remainder when (x/(-10))/(2/68) is divided by 9. 8 Let d(i) = -i**3 + 12*i**2 - 12*i + 2. Let a be d(11). What is the remainder when 23 is divided by -1*(3 - 2) - a? 7 What is the remainder when (15 - 0)*14/6 is divided by 18? 17 Suppose 0*n - 4*n = q - 20, q = 5*n + 11. Calculate the remainder when 61 is divided by q. 13 Let f(b) = -b**3 + 11*b**2 + 14*b - 13. Calculate the remainder when 65 is divided by f(12). 10 Let j(s) = s + 15. Let h(u) = -u**3 + 3*u**2 + 6*u - 4. What is the remainder when j(0) is divided by h(4)? 3 Suppose 3*t + 2*t = 2*h - 107, 2*t = 4*h - 174. Let q = -27 + h. What is the remainder when q is divided by 4? 2 Let x = -10 - -20. What is the remainder when x is divided by 6? 4 Let x be 1 + 0 + (-5 - -4). Suppose x*q = 5*q - 10. Calculate the remainder when 5 is divided by q. 1 Let o(r) = r**2 - 4*r + 4. Let f(l) = l - 1. Let z(p) = 4*f(p) + o(p). Calculate the remainder when z(-3) is divided by 5. 4 Suppose -i - 34 = -3*i. Suppose -4*t - 3*j + 25 = 7, -4*j = 3*t - i. Calculate the remainder when 6 is divided by 1*(2 - (-3 + t)). 0 Let i(g) = -3*g - 13. What is the remainder when 55 is divided by i(-9)? 13 Let i(z) = 3*z - 6 + 3*z**2 - 7*z**2 + z**3 - 3*z**2 - 1. Calculate the remainder when i(7) is divided by 5. 4 Let p be (-1 - -4)/3 - 48. Let v = p - -68. Calculate the remainder when v is divided by 11. 10 Suppose 0 = -5*f + 8 + 22. Let c = 10 - 7. Suppose -c*n + 34 = -17. Calculate the remainder when n is divided by f. 5 Let a = -14 + 52. Suppose -5*w - 3*s = -0*s - a, -28 = -2*w + 2*s. Calculate the remainder when w is divided by 42/10 + 2/(-10). 2 Let b(a) = -a**3 + 7*a**2 + a + 6. What is the remainder when b(5) is divided by (-83)/(-4) - -2*4/32? 19 Suppose 4*c = -4*v + 36, -5*v - 2*c + 22 = -14. What is the remainder when v is divided by 2? 0 Suppose -20*x = -16*x - 44. Calculate the remainder when 38 is divided by x. 5 Let i = -10 - -23. Suppose -5*u + 20 = 0, 3*q - 2*u = 3*u + i. What is the remainder when 19 is divided by q? 8 Let p = 53 - 48. Calculate the remainder when 12 is divided by p. 2 Suppose -3*z + 13 + 8 = 0. What is the remainder when 26 is divided by z? 5 Calculate the remainder when 3/(-4)*(-4)/3 is divided by 1. 0 Calculate the remainder when (-152)/(-6) + 4/6 is divided by 9. 8 Let y = -19 + 22. What is the remainder when 14 is divided by y? 2 Suppose 5*z - 10 - 55 = 0. Let u = z + -6. Calculate the remainder when 20 is divided by u. 6 Suppose 7*p - 5*p = 24. What is the remainder when 33 is divided by p? 9
Let a(k) be the first derivative of -k**6/360 - 5*k**3/3 - 23. Let p(q) be the third derivative of a(q). Let x(w) = 75*w**2. Give p(x(v)). -5625*v**4 Let z(i) = 730207*i. Let p(x) = -15*x. Give p(z(n)). -10953105*n Let u(x) be the second derivative of 31*x**4/2 + 107*x - 6. Let q(v) = v + 4 - 4. Determine u(q(c)). 186*c**2 Let q(y) = -3*y**2. Let j(u) = -985*u**2 + 800. Determine j(q(p)). -8865*p**4 + 800 Let t(v) = 26*v**2 + 61*v + 60*v + 57*v + 120*v - 298*v. Let b(d) be the third derivative of -d**5/60 - d**2. Calculate t(b(y)). 26*y**4 Let c(k) = -9*k - 11372. Let o(x) = 20*x. Calculate c(o(i)). -180*i - 11372 Let g(r) = 4*r**2 - 6*r**2 + 0*r**2. Let w = -338 + 374. Let z(k) = -63*k**2 - 180*k. Let l(s) = -s**2 - 5*s. Let a(q) = w*l(q) - z(q). Calculate g(a(p)). -1458*p**4 Let p(d) = -52*d + 2. Suppose 5*r + 73 = 3*z, 0 = -4*z - r + 80 + 48. Let f(n) = -n**2 + 20 + 11 - z. Determine f(p(w)). -2704*w**2 + 208*w - 4 Let h(a) = -1147*a**2 + 2*a. Let u(l) = -612*l. Calculate h(u(z)). -429601968*z**2 - 1224*z Let w be ((-30)/(-5))/(-7 - -10). Let f(c) = 574*c**2 - 1204*c**2 + 564*c**w. Let j(o) = 2*o. What is f(j(s))? -264*s**2 Let v(k) = 334489*k**2. Let p(s) = -11*s. Calculate p(v(l)). -3679379*l**2 Let t(i) be the second derivative of -1/12*i**4 + 0*i**2 - 40*i + 0 + 0*i**3. Let w(v) = 88*v. Let o(x) = -11*x. Let q(d) = -33*o(d) - 4*w(d). Give t(q(h)). -121*h**2 Let p(q) = 5*q**2 + 7662. Let w(l) = -l + 25. What is w(p(f))? -5*f**2 - 7637 Let d(p) = 17*p**2. Let n(q) = -5*q**2 - 198*q + 7. What is n(d(t))? -1445*t**4 - 3366*t**2 + 7 Let g(a) = -2*a**2 - 9*a**2 - 5*a**2. Let u(y) = 205*y - 205*y - y**2 - 60 + 60. Calculate u(g(w)). -256*w**4 Let t(s) = 1730*s**2. Let g(c) = -220385*c**2. What is g(t(p))? -659590266500*p**4 Let w(x) = -4*x. Let p(z) = 81*z**2 + 752*z. Determine p(w(c)). 1296*c**2 - 3008*c Let r(o) = o. Suppose 3*d - 2*l - 4 + 0 = 0, -d = 4*l - 6. Suppose -4*h + 3*h = -3*z - 67, -5*h - d*z = -267. Let g(i) = -55 + 6*i + h. What is r(g(j))? 6*j Let y(w) = -23*w. Let r(z) = -35*z. Let g(q) = 106*q. Let l(h) = -6*g(h) - 19*r(h). Determine l(y(k)). -667*k Let z(n) = 1458*n**2. Let u(i) = -19*i**2 + 2*i. Let h(m) = 672*m**2 - 70*m. Let s(o) = h(o) + 35*u(o). What is s(z(k))? 14880348*k**4 Let z = 6746 - 480. Let c(q) = 11*q - z + 6266. Let r(o) = -2*o**2. What is c(r(v))? -22*v**2 Let c = 555 - 551. Let s be (3 - -2 - 0) + -3. Let o(l) = -s*l - c*l + 6*l - l**2. Let v(u) = 2*u + 1. What is v(o(h))? -2*h**2 + 1 Suppose 4*x = 12*x - 32. Let h(b) = x*b - b - b - 3*b. Let w(t) = 0*t**2 + 5*t - 5*t - 5*t**2. Determine w(h(c)). -5*c**2 Let d(i) = i. Let o(z) be the third derivative of 94*z**5/15 - 2*z**3/3 - 6775*z**2. Calculate o(d(n)). 376*n**2 - 4 Let k(o) = -254*o**2. Suppose 0 = 39*r - 30*r - 153126. Let v(m) = 0*m**2 + m**2 + 17014*m - r*m. What is k(v(a))? -254*a**4 Let u(z) = 9*z - 58*z + z. Let y(v) = 6*v**2 + 10*v - 10. Let o(f) = 4*f**2 + 6*f - 6. Let k(x) = 5*o(x) - 3*y(x). Give k(u(r)). 4608*r**2 Let u(m) = -2*m. Let y(z) = 4*z + 10. Let a(x) = 8*x + 11. Suppose 3*d + 9 = 7*c - 4*c, -4*c = 3*d - 12. Let j(q) = c*a(q) - 4*y(q). Calculate j(u(f)). -16*f - 7 Let y(t) = -6*t**2 - t + t + 2 - 2*t**2. Let x(q) = 74*q**2 - 35*q**2 - 38*q**2. What is x(y(l))? 64*l**4 - 32*l**2 + 4 Suppose -5*q - 24 = 3*q. Let m(h) = -2*h + 3. Let s(p) = p - 1. Let x(y) = q*s(y) - m(y). Let u(j) = -8*j. Determine u(x(w)). 8*w Let v(p) = 43*p**2 + 147*p. Let y(l) = 2*l**2 + 7*l. Let r(x) = 2*v(x) - 42*y(x). Let u(t) = t**2 + 5277. Give r(u(h)). 2*h**4 + 21108*h**2 + 55693458 Let r(z) = -276*z - 8. Let m(a) = -241*a - 7. Let n(b) = -8*m(b) + 7*r(b). Let q(c) = 232*c. What is n(q(v))? -928*v Let w(m) = -92*m**2 + 1430*m + 84*m**2 - 1430*m. Let n(h) = -1112*h. What is w(n(a))? -9892352*a**2 Let i = -204 + 295. Let l(z) = 10*z - 94 - i + 185. Let b(j) = 2*j. Calculate b(l(s)). 20*s Let z(j) be the third derivative of j**5/30 - 2153*j**2. Let m(l) be the third derivative of -2*l**2 + 0 + 0*l - 1/12*l**5 + 0*l**4 + 0*l**3. What is m(z(w))? -20*w**4 Let g(m) = -12*m + 2. Let k(i) be the third derivative of -79*i**5/60 - 13288*i**2. Determine g(k(x)). 948*x**2 + 2 Let z(w) be the third derivative of w**4/24 + 32*w**2. Let d(i) = -58*i - 8. Let g(p) = 56*p + 7. Let q(x) = -6*d(x) - 7*g(x). Calculate z(q(h)). -44*h - 1 Let a(w) = 0 + 0 + 5*w. Let h(u) be the third derivative of -458*u**2 + 0*u**3 + 0*u + 0 + 1/4*u**4. Give a(h(c)). 30*c Let x(z) = 19736*z**2. Let n(p) = 858*p**2. Determine x(n(u)). 14528932704*u**4 Let t(d) = -3*d**2 - 9*d. Let i(v) = 3*v**2 + 10*v. Suppose 11 + 14 = -5*a. Let n(u) = a*t(u) - 4*i(u). Let s(h) = -2*h. Determine n(s(w)). 12*w**2 - 10*w Let j(n) = -n**2 - 2*n**2 + n**2. Let v(r) = -5*r - 6. Let s be 8/(6/(-3)) - (-4 + -2). Let f(w) = -16*w - 21. Let d(z) = s*f(z) - 7*v(z). Determine j(d(y)). -18*y**2 Let w(c) be the second derivative of -345*c**4/4 + 7*c - 59. Let a(o) = -3*o**2. What is w(a(b))? -9315*b**4 Let x(c) be the first derivative of -c**5/60 + 101*c**3/3 + 73. Let h(g) be the third derivative of x(g). Let u(b) = 241*b**2. Calculate h(u(a)). -482*a**2 Let z(n) = -6606*n. Let c(u) be the third derivative of -u**5/60 - 838*u**2. Determine c(z(d)). -43639236*d**2 Let s(v) = 2*v. Let c(a) = 2*a**2 - 150*a - 2288. Let n be c(88). Let j(u) be the first derivative of -u + 106/3*u**3 + n*u**2 - 49. Determine j(s(h)). 424*h**2 - 1 Let h(s) be the first derivative of 0*s + 45/2*s**2 + 74. Let j(x) = -x. What is h(j(v))? -45*v Let b(i) = i. Let v(m) = 23*m + 2635. Let a(q) = -6*q - 657. Let h(n) = 19*a(n) + 5*v(n). What is b(h(c))? c + 692 Let c(j) = 8*j**2 + 10*j + 20. Let d(n) = 15*n**2 + 18*n + 36. Let w(i) = 9*c(i) - 5*d(i). Let b(o) = -276*o - 1. Determine b(w(q)). 828*q**2 - 1 Let x(g) = -2*g**2. Let z(c) = 35*c**2 + 33*c + 5. Let u(l) = -17*l + 4*l**2 - 18*l + 47*l + 2 + 8*l**2. Let y(r) = 11*u(r) - 4*z(r). Give x(y(h)). -128*h**4 + 64*h**2 - 8 Let r(f) = 5*f - 14*f + 10*f. Let v(c) be the first derivative of 2*c**3/3 + 10*c**2 + 281. Give v(r(p)). 2*p**2 + 20*p Let k(w) = 74*w. Let r(v) be the second derivative of -v**4/12 - 9*v**2/2 - 11*v. Let x(p) be the first derivative of r(p). Calculate x(k(l)). -148*l Let o(s) = 15*s + 2*s**2 - 15*s. Let i(t) = -72659*t**2 + 1582. Let u(b) = 184*b**2 - 4. Let k(y) = 2*i(y) + 791*u(y). Determine o(k(a)). 102152*a**4 Let j(x) be the third derivative of x**4/24 - x**3/6 + 43*x**2. Let p(t) = -20*t + 50. Let z(q) = -50*j(q) - p(q). Let f(m) = -2*m**2. Calculate f(z(a)). -1800*a**2 Let a(x) be the first derivative of -3*x**2/2 - 5*x + 122. Let y(c) = 16*c - 10. Let i(l) = 5*l - 3. Let j(d) = 10*i(d) - 3*y(d). Give j(a(s)). -6*s - 10 Let r(f) be the third derivative of -f**4/24 + 29*f**2 + 8*f. Let q(p) = -108*p. What is q(r(g))? 108*g Let o(k) = -90*k - 33. Let r(h) = -39 + 125 - 41 - 45 + h. Determine o(r(x)). -90*x - 33 Let f(y) = -9*y**2. Let b = -23 - -23. Let w(o) = b*o + 214 - 8*o - 214. What is f(w(g))? -576*g**2 Let o(w) = -19123481*w. Let z(q) = q. Give o(z(r)). -19123481*r Let k(r) = -3*r**2. Let t(a) = -85364*a**2 - 7*a. Calculate t(k(p)). -768276*p**4 + 21*p**2 Let c(l) = 11741*l - 1495. Let w(s) = -s. What is c(w(k))? -11741*k - 1495 Let x(b) = -b. Let h(v) = 4*v - 674251. Determine x(h(k)). -4*k + 674251 Let x(s) = -s + 116. Let p(d) = 3*d - 319. Let g(y) = 4*p(y) + 11*x(y). Let n(j) = -3*j**2 + 6. Calculate g(n(q)). -3*q**2 + 6 Let f(u) = 4*u**2. Let p(h) = 13*h**2 - 89*h + 6. Determine p(f(q)). 208*q**4 - 356*q**2 + 6 Let c(v) = 5*v - 4. Suppose 0 = 54*g - 55*g + 2. Let u(t) = -24 + 42*t**g - 44*t**2 + 24. Calculate c(u(l)). -10*l**2 - 4 Let v(t) = -9*t**2 + t. Let m(x) be the second derivative of 7*x**3/6 - 2*x**2 + x - 16. Let d(w) = -15*w + 9. Let p(u) = -4*d(u) - 9*m(u). Give v(p(j)). -81*j**2 - 3*j Let o(a) be the third derivative of -157*a**5/60 + a**3/3 - 6*a**2 + 372. Let j(x) = 7*x**2. What is o(j(c))? -7693*c**4 + 2 Let d(o) = -33*o**2 + 3*o. Let y(q) = -67*q**2 + 7*q. Let x(h) = -5*d(h) + 2*y(h). Let w(z) = 758*z - 1529*z + 768*z. Calculate x(w(i)). 279*i**2 + 3*i Let f(c) = -c**2 - 1304*c - 2. Let a(j) = -309*j**2. What is f(a(h))? -95481*h**4 + 402936*h**2 - 2 Let b(h) = -39*h. Let s(t) = -19*t. Let x(q) = 6*b(q) - 13*s(q). Let l(i) be the third derivative of -i**4/12 + 5*i**2 + 5*i. Determine x(l(z)). -26*z Let z(m) = -10*m - 3522. Let k(a) = -21*a. Give z(k(g)). 210*g - 3522 Let l(h) = -5*h**2 + h**2 + 5*h**2. Let m(k) = -82*k**2 + 171609*k - 85802*k - 85807*k. What is m(l(i))? -82*i**4
What is prob of sequence fud when three letters picked without replacement from wwfduwu? 1/105 Two letters picked without replacement from wnnrhgc. Give prob of sequence wn. 1/21 Calculate prob of sequence ue when two letters picked without replacement from {h: 3, u: 3, e: 5}. 3/22 What is prob of sequence uv when two letters picked without replacement from vhuuvuuuvuvhu? 7/39 Four letters picked without replacement from {e: 7, w: 2}. Give prob of sequence wewe. 1/36 Two letters picked without replacement from jjjojojojjjjjjjjoj. What is prob of sequence oj? 28/153 Four letters picked without replacement from {u: 3, v: 2}. What is prob of sequence uvvu? 1/10 Two letters picked without replacement from lxxlllxl. Give prob of sequence ll. 5/14 Three letters picked without replacement from xrrmdmmmmrmmdxxmzxm. What is prob of sequence rrm? 3/323 Four letters picked without replacement from {o: 1, j: 1, p: 1, e: 1, y: 2, k: 1}. What is prob of sequence koyp? 1/420 Calculate prob of sequence ao when two letters picked without replacement from apjqo. 1/20 What is prob of sequence fu when two letters picked without replacement from bdubfbddbdbbbdd? 1/210 Three letters picked without replacement from {d: 8, w: 8, y: 1}. What is prob of sequence wdy? 4/255 Calculate prob of sequence hhel when four letters picked without replacement from {h: 4, l: 5, e: 5, y: 1}. 5/546 Calculate prob of sequence uuu when three letters picked without replacement from buubbbbbbbbbbbbbbbb. 0 What is prob of sequence aaff when four letters picked without replacement from aaffafaaffafaf? 21/286 What is prob of sequence cc when two letters picked without replacement from {k: 10, c: 2, w: 3}? 1/105 Three letters picked without replacement from kfcfbwkbbkp. Give prob of sequence fwk. 1/165 What is prob of sequence rxdd when four letters picked without replacement from {d: 2, r: 4, v: 1, x: 1}? 1/210 What is prob of sequence qqqq when four letters picked without replacement from {d: 5, q: 13}? 143/612 Four letters picked without replacement from {k: 3, m: 4}. What is prob of sequence mkmk? 3/35 What is prob of sequence uuuu when four letters picked without replacement from uuuuuu? 1 What is prob of sequence ahh when three letters picked without replacement from {h: 6, b: 4, l: 1, w: 1, a: 4}? 1/28 Calculate prob of sequence ywn when three letters picked without replacement from nnnnyyynyyynnwn. 8/455 Two letters picked without replacement from eeqeeqeee. What is prob of sequence qe? 7/36 Calculate prob of sequence aaaz when four letters picked without replacement from {z: 1, o: 3, k: 1, a: 7}. 7/396 Four letters picked without replacement from {h: 1, v: 1, r: 1, k: 2, z: 1, p: 1}. What is prob of sequence kkpv? 1/420 Three letters picked without replacement from nnznnznznnfzkfzzazk. What is prob of sequence zzk? 14/969 What is prob of sequence hc when two letters picked without replacement from {h: 10, c: 10}? 5/19 Calculate prob of sequence fyy when three letters picked without replacement from byyyf. 1/10 Calculate prob of sequence qg when two letters picked without replacement from {t: 2, q: 11, g: 2, z: 4}. 11/171 What is prob of sequence jy when two letters picked without replacement from jyjjxyxyjjx? 3/22 Calculate prob of sequence hkd when three letters picked without replacement from {d: 4, k: 3, h: 1}. 1/28 Calculate prob of sequence nkq when three letters picked without replacement from {q: 2, n: 4, k: 8}. 8/273 Three letters picked without replacement from {a: 1, k: 2, c: 1}. Give prob of sequence kck. 1/12 What is prob of sequence uuu when three letters picked without replacement from uuhhu? 1/10 Three letters picked without replacement from {i: 2, m: 4, t: 2, v: 1, g: 3, a: 3}. Give prob of sequence ivg. 1/455 Three letters picked without replacement from llqqlllqwwlllqq. Give prob of sequence qqw. 4/273 What is prob of sequence bb when two letters picked without replacement from lbbbbqqqyqq? 6/55 Two letters picked without replacement from {u: 1, i: 2, e: 2}. Give prob of sequence iu. 1/10 Calculate prob of sequence jt when two letters picked without replacement from {o: 3, j: 1, t: 4, e: 1, m: 4}. 1/39 Four letters picked without replacement from {y: 3, r: 17}. What is prob of sequence yyyr? 1/1140 What is prob of sequence dlu when three letters picked without replacement from {d: 3, l: 1, u: 2, k: 1, a: 3, q: 2}? 1/220 What is prob of sequence ngd when three letters picked without replacement from dxgggggggdndxdngn? 2/85 Two letters picked without replacement from hhnqmsz. What is prob of sequence ms? 1/42 Three letters picked without replacement from {c: 1, h: 2, t: 1, z: 1, b: 5}. Give prob of sequence hbz. 1/72 What is prob of sequence ws when two letters picked without replacement from ciiiwiwriwwwwiwwsris? 4/95 Three letters picked without replacement from zzzzzztzzzztzzzzztt. What is prob of sequence zzz? 455/969 Calculate prob of sequence mm when two letters picked without replacement from {a: 5, r: 1, m: 6, z: 1, d: 1, i: 3}. 15/136 Three letters picked without replacement from {b: 6, n: 2, u: 2, m: 3}. What is prob of sequence nub? 2/143 What is prob of sequence aijo when four letters picked without replacement from cgajoji? 1/420 Two letters picked without replacement from hnlfkkk. What is prob of sequence nf? 1/42 What is prob of sequence ddpa when four letters picked without replacement from {d: 9, p: 2, s: 3, f: 3, a: 1}? 1/510 Three letters picked without replacement from vavo. Give prob of sequence vvo. 1/12 What is prob of sequence vvn when three letters picked without replacement from nnflvnfnnvll? 1/132 Two letters picked without replacement from {j: 3, l: 3, m: 2, w: 5}. Give prob of sequence wl. 5/52 Two letters picked without replacement from rrrrrrrrrrrrrrrrrrxr. What is prob of sequence rr? 9/10 What is prob of sequence fz when two letters picked without replacement from fiizzznz? 1/14 Calculate prob of sequence rrra when four letters picked without replacement from {a: 5, r: 14}. 455/3876 Four letters picked without replacement from {o: 7}. Give prob of sequence oooo. 1 Calculate prob of sequence tax when three letters picked without replacement from {t: 1, a: 5, q: 2, x: 3, s: 6}. 1/272 Two letters picked without replacement from {t: 1, z: 3, i: 3, e: 1, r: 4, u: 6}. Give prob of sequence zu. 1/17 What is prob of sequence eeeg when four letters picked without replacement from zgegeggziepiee? 10/1001 Two letters picked without replacement from {q: 1, d: 5, i: 9, x: 3}. Give prob of sequence xi. 3/34 Four letters picked without replacement from llloolllll. What is prob of sequence lllo? 2/15 Two letters picked without replacement from {h: 7, x: 2, v: 2}. Give prob of sequence hv. 7/55 Two letters picked without replacement from {d: 3, p: 1, x: 1, n: 3, j: 1, c: 2}. What is prob of sequence pn? 3/110 Calculate prob of sequence qq when two letters picked without replacement from aqqaqqq. 10/21 Three letters picked without replacement from bbbbb. What is prob of sequence bbb? 1 Three letters picked without replacement from nndndnnnndddnnnnnd. What is prob of sequence ndn? 11/68 Two letters picked without replacement from guttuuuquttuuquj. What is prob of sequence qg? 1/120 Two letters picked without replacement from dkqxt. What is prob of sequence kq? 1/20 Calculate prob of sequence id when two letters picked without replacement from {d: 1, e: 2, c: 1, i: 2, s: 1, o: 1}. 1/28 What is prob of sequence fk when two letters picked without replacement from kyf? 1/6 Four letters picked without replacement from aeguuiaaauaau. What is prob of sequence gaui? 1/715 What is prob of sequence gn when two letters picked without replacement from knjkgnuuufnu? 1/44 What is prob of sequence ed when two letters picked without replacement from {u: 5, v: 6, s: 1, d: 3, l: 1, e: 1}? 3/272 Three letters picked without replacement from {c: 9, r: 5}. What is prob of sequence crc? 15/91 Four letters picked without replacement from ccgckvsgggggcvzzg. What is prob of sequence cgsc? 1/680 What is prob of sequence obb when three letters picked without replacement from {o: 5, h: 1, w: 5, b: 5}? 5/168 What is prob of sequence uiu when three letters picked without replacement from iiuiiuuiuuui? 3/22 What is prob of sequence hcu when three letters picked without replacement from vuwwhuvwwuc? 1/330 What is prob of sequence dkkd when four letters picked without replacement from dkdddk? 1/15
How many milligrams are there in 18/5 of a gram? 3600 Convert 57.1831 milliseconds to nanoseconds. 57183100 Convert 6246.789ml to litres. 6.246789 How many kilometers are there in 4.481284um? 0.000000004481284 How many millilitres are there in eleven halves of a litre? 5500 How many months are there in 1/15 of a millennium? 800 What is one sixteenth of a milligram in nanograms? 62500 Convert 8709.663 millennia to months. 104515956 What is 88.16267 micrograms in kilograms? 0.00000008816267 How many hours are there in 2591.3826s? 0.7198285 How many litres are there in 2.71213ml? 0.00271213 What is 0.6784241 days in microseconds? 58615842240 What is 5620.953 litres in millilitres? 5620953 Convert 63138.49 grams to nanograms. 63138490000000 What is one fifth of a microsecond in nanoseconds? 200 How many millilitres are there in five quarters of a litre? 1250 How many seconds are there in 1/24 of a hour? 150 What is fifty-five halves of a litre in millilitres? 27500 Convert 880963.5kg to nanograms. 880963500000000000 Convert 19.097 nanometers to meters. 0.000000019097 How many grams are there in 11/2 of a kilogram? 5500 What is 2394.006ng in milligrams? 0.002394006 What is 22.15569nm in micrometers? 0.02215569 How many seconds are there in 8092.117 hours? 29131621.2 How many micrometers are there in 21/5 of a millimeter? 4200 What is 8012.282 millimeters in meters? 8.012282 How many nanoseconds are there in 55/4 of a microsecond? 13750 What is 37329.55 millimeters in nanometers? 37329550000 What is one quarter of a meter in centimeters? 25 How many centuries are there in twenty-seven fifths of a millennium? 54 Convert 0.0598136 years to decades. 0.00598136 How many months are there in five sixths of a century? 1000 What is three tenths of a kilometer in centimeters? 30000 Convert 2397.487ug to grams. 0.002397487 What is 4.120637 litres in millilitres? 4120.637 What is fifteen quarters of a litre in millilitres? 3750 What is 1/100 of a tonne in kilograms? 10 How many seconds are there in seventy-three quarters of a hour? 65700 How many decades are there in 12.162459 months? 0.101353825 How many nanograms are there in fourty-five quarters of a microgram? 11250 How many grams are there in 3/50 of a kilogram? 60 Convert 741.9867 litres to millilitres. 741986.7 Convert 71.43729mg to tonnes. 0.00000007143729 What is 11/2 of a litre in millilitres? 5500 How many milliseconds are there in three tenths of a second? 300 How many millilitres are there in fifty-four fifths of a litre? 10800 What is 11/4 of a milligram in micrograms? 2750 What is 3.897739 millennia in decades? 389.7739 What is seven halves of a microgram in nanograms? 3500 What is 0.9966904 centuries in years? 99.66904 How many litres are there in 0.2241959ml? 0.0002241959 Convert 91.86028t to milligrams. 91860280000 Convert 130.2827nm to meters. 0.0000001302827 How many milligrams are there in twenty-six fifths of a gram? 5200 How many litres are there in 66013.81 millilitres? 66.01381 What is 31/5 of a gram in milligrams? 6200 Convert 0.0777295 decades to millennia. 0.000777295 What is 10121.877s in hours? 2.8116325 What is twenty-six fifths of a hour in seconds? 18720 What is 11/2 of a meter in centimeters? 550 What is three eighths of a microsecond in nanoseconds? 375 What is 5/6 of a hour in seconds? 3000 Convert 0.1848649kg to nanograms. 184864900000 Convert 49379.659 days to weeks. 7054.237 What is 66428.36 days in minutes? 95656838.4 What is three tenths of a day in seconds? 25920 What is 6.253739 nanometers in kilometers? 0.000000000006253739 What is one sixth of a hour in minutes? 10 What is 0.00306mg in nanograms? 3060 What is 975.8064 millimeters in kilometers? 0.0009758064 What is 2364.934 litres in millilitres? 2364934 What is seven sixths of a week in minutes? 11760 What is 8381.958nm in millimeters? 0.008381958 How many litres are there in 5818.351ml? 5.818351 How many litres are there in 0.0769763 millilitres? 0.0000769763 What is thirteen quarters of a year in months? 39 How many centimeters are there in 480.4087m? 48040.87 What is five quarters of a meter in millimeters? 1250 What is 4.56915t in kilograms? 4569.15 How many micrograms are there in 87/2 of a milligram? 43500 How many litres are there in 0.0680318ml? 0.0000680318 How many years are there in 84283.06 decades? 842830.6 How many millilitres are there in 826945.7l? 826945700 What is 32/5 of a meter in centimeters? 640 Convert 2441035.2 milliseconds to minutes. 40.68392 How many seconds are there in 7/15 of a day? 40320 How many centuries are there in 0.949316 millennia? 9.49316 What is 9820.81 decades in millennia? 98.2081 What is three tenths of a millennium in years? 300 What is 33846.56 years in months? 406158.72 What is 6/25 of a kilogram in grams? 240 Convert 8276.677l to millilitres. 8276677 What is fourty-two fifths of a hour in minutes? 504 How many minutes are there in 3/10 of a week? 3024 How many millilitres are there in fifty-two fifths of a litre? 10400 Convert 17.58876 decades to centuries. 1.758876 How many nanograms are there in thirty-seven fifths of a microgram? 7400 How many micrometers are there in 3487.117nm? 3.487117 How many nanometers are there in 44.56466 meters? 44564660000 What is 12/25 of a millennium in months? 5760 How many months are there in 13/4 of a year? 39 How many millimeters are there in three tenths of a meter? 300 How many minutes are there in twenty-nine sixths of a day? 6960 What is 1/20 of a tonne in kilograms? 50 Convert 65.5137 grams to nanograms. 65513700000 How many seconds are there in twenty-one fifths of a minute? 252 What is 2.9356812ms in minutes? 0.00004892802 How many millilitres are there in 3/5 of a litre? 600 Convert 0.8815925 meters to millimeters. 881.5925 How many millennia are there in 4012.161 centuries? 401.2161 How many millilitres are there in thirteen eighths of a litre? 1625 How many seconds are there in 13/5 of a hour? 9360 How many months are there in 15.99814 millennia? 191977.68 How many litres are there in 1298.177ml? 1.298177 Convert 958.394 nanoseconds to microseconds. 0.958394 How many minutes are there in twenty-one eighths of a week? 26460 What is 29/5 of a day in minutes? 8352 What is fourty-two fifths of a meter in millimeters? 8400 How many months are there in 1/10 of a millennium? 1200 How many litres are there in 4358.801 millilitres? 4.358801 Convert 64241.1g to micrograms. 64241100000 What is 9.802307l in millilitres? 9802.307 What is 43/2 of a day in hours? 516 What is 27/2 of a day in hours? 324 How many millilitres are there in 7/4 of a litre? 1750 How many minutes are there in 316.3917s? 5.273195 Convert 180.2977 weeks to minutes. 1817400.816 What is 9.899866 decades in millennia? 0.09899866 What is sixty-four fifths of a tonne in kilograms? 12800 What is 46/5 of a litre in millilitres? 9200 What is 9758.221 centuries in years? 975822.1 What is 68.94141 centuries in years? 6894.141 How many nanograms are there in 7283.584g? 7283584000000 How many kilograms are there in 21/5 of a tonne? 4200 How many centuries are there in 26044.08 months? 21.7034 How many decades are there in seventeen halves of a millennium? 850 How many milliseconds are there in 960.2545 days? 82965988800 What is thirty-one halves of a litre in millilitres? 15500 Convert 203.1082 minutes to microseconds. 12186492000 How many millilitres are there in 7/4 of a litre? 1750 How many milligrams are there in 0.6873179ng? 0.0000006873179 Convert 4026.838mm to meters. 4.026838 How many micrograms are there in 55.71977 nanograms? 0.05571977 What is 942.784 litres in millilitres? 942784 Convert 5.256336 millennia to months. 63076.032 What is 57511.3 centuries in millennia? 5751.13 How many millilitres are there in twenty-seven quarters of a litre? 6750 What is 95595.27 centuries in months? 114714324 What is 796481.4 millilitres in litres? 796.4814 Convert 26240.49 months to centuries. 21.867075 How many millennia are there in 611778.1 centuries? 61177.81 How many nanometers are there in 1/10 of a millimeter? 100000 What is 754.4845 nanograms in grams? 0.0000007544845 How many seconds are there in twenty-seven fifths of a hour? 19440 What is 3/5 of a millennium in years? 600 What is 3/5 of a tonne in kilograms? 600 How many millilitres are there in 357970.8 litres? 357970800 Convert 947313.9 litres to millilitres. 947313900 What is ten ninths of a day in minutes? 1600 Convert 661802.75 days to weeks. 94543.25 What is thirteen quarters of a century in months? 3900 What is three tenths of a millennium in years? 300
Sort -2, 1, 5, 7, 2, 4335 in increasing order. -2, 1, 2, 5, 7, 4335 Sort 4, 117, -3, 3, 1, -4 in decreasing order. 117, 4, 3, 1, -3, -4 Sort -0.5, 527/4, -5, 21, 1/11 in decreasing order. 527/4, 21, 1/11, -0.5, -5 Sort -4, 1, -3, -18, -1019, -1 in descending order. 1, -1, -3, -4, -18, -1019 Sort -914, -21, -3, 36, 6 in descending order. 36, 6, -3, -21, -914 Put 0.2, 239, 1/3, 0.3, 3473 in ascending order. 0.2, 0.3, 1/3, 239, 3473 Sort 1, 30, -4, 0, 29702 in descending order. 29702, 30, 1, 0, -4 Sort 4, 3553, -26. -26, 4, 3553 Sort 2/7, 57.47427, 2/215, -0.2 in descending order. 57.47427, 2/7, 2/215, -0.2 Sort 5, 34, -1, 3, -13010, 1. -13010, -1, 1, 3, 5, 34 Sort 306, -4, 2, -52, 58, -1 in descending order. 306, 58, 2, -1, -4, -52 Put -4/129, 0.4, 2.175, -2 in ascending order. -2, -4/129, 0.4, 2.175 Put 1, 4, -5, -17, 82, -8 in ascending order. -17, -8, -5, 1, 4, 82 Sort -11, 32, -208, -36 in ascending order. -208, -36, -11, 32 Sort 353, 6, 3, -9, 4, -8 in ascending order. -9, -8, 3, 4, 6, 353 Sort -24/5, 2/139123, 1 in decreasing order. 1, 2/139123, -24/5 Sort 1.5, -1, 4, -106720, -3 in descending order. 4, 1.5, -1, -3, -106720 Put -2, -21147, -0.08419 in descending order. -0.08419, -2, -21147 Sort -0.3, 3/8, 10.4859, -0.5 in decreasing order. 10.4859, 3/8, -0.3, -0.5 Sort 2, 5, -113, -200, -106, -1 in decreasing order. 5, 2, -1, -106, -113, -200 Sort 0.02616, 2, -109, 0.5. -109, 0.02616, 0.5, 2 Put -2, -922, 1414, -4 in increasing order. -922, -4, -2, 1414 Sort -3, -14, 30, -4, -2, -7, 3 in increasing order. -14, -7, -4, -3, -2, 3, 30 Sort -11, -4205, -168, -10 in ascending order. -4205, -168, -11, -10 Sort -4628, 5, 11, 15 in decreasing order. 15, 11, 5, -4628 Sort 0, -0.00725, -0.312 in descending order. 0, -0.00725, -0.312 Sort 1, 863, -47, 4, 2, -4, 3 in decreasing order. 863, 4, 3, 2, 1, -4, -47 Put 0.5, -29238, -3, 3, -2.1 in ascending order. -29238, -3, -2.1, 0.5, 3 Sort -61674, -1/3, 0.5, -2/5 in increasing order. -61674, -2/5, -1/3, 0.5 Put -2, -17, -4839/5, 4, 5, -2/3 in decreasing order. 5, 4, -2/3, -2, -17, -4839/5 Sort 1501, -14/3, -5, -58, -0.4, 5 in decreasing order. 1501, 5, -0.4, -14/3, -5, -58 Sort -1045, -19, 5, -3, 3, 2 in ascending order. -1045, -19, -3, 2, 3, 5 Put 11, 108, 2, -3258 in decreasing order. 108, 11, 2, -3258 Sort -113, 5, 2, 13, -0.3 in decreasing order. 13, 5, 2, -0.3, -113 Put -2/5, -2/4785, -4/2337 in descending order. -2/4785, -4/2337, -2/5 Put -1, 10, -2.56, -3, -2/5, 18 in ascending order. -3, -2.56, -1, -2/5, 10, 18 Sort 0, -12467, 198 in descending order. 198, 0, -12467 Put -5, 2, -449535 in descending order. 2, -5, -449535 Sort 3, 166, 34, -3, 305 in decreasing order. 305, 166, 34, 3, -3 Sort -382, -1, 2, -59.2, 3/4, 0 in increasing order. -382, -59.2, -1, 0, 3/4, 2 Put 1990662, 13, 3 in descending order. 1990662, 13, 3 Sort 1, 2, -704809, 36 in descending order. 36, 2, 1, -704809 Put 0, 49, -8, -9, 15, 3, 4 in decreasing order. 49, 15, 4, 3, 0, -8, -9 Put 40, -4, -0.4, -75, 0.9 in increasing order. -75, -4, -0.4, 0.9, 40 Put 5, -1/4, -19, 181, 0.016, 0.3 in ascending order. -19, -1/4, 0.016, 0.3, 5, 181 Sort 2, 0, 59, -2, 9, -82 in decreasing order. 59, 9, 2, 0, -2, -82 Put 20/9, -2/5, -187762 in descending order. 20/9, -2/5, -187762 Put 4/11, -5393/7, 5/4, -1/46 in ascending order. -5393/7, -1/46, 4/11, 5/4 Put -4, -1, 0, 1, -11854, 4 in ascending order. -11854, -4, -1, 0, 1, 4 Put -2980, -5, 0, 305, -1 in descending order. 305, 0, -1, -5, -2980 Sort 20, 558954, -4. -4, 20, 558954 Sort 388146, 0, 5. 0, 5, 388146 Sort 298, 328738, 2. 2, 298, 328738 Sort -3, -31/5, 1254/7 in ascending order. -31/5, -3, 1254/7 Sort 10, -28, 276, 9, -4, -5 in decreasing order. 276, 10, 9, -4, -5, -28 Sort 61, 65, -0.2, -4.41. -4.41, -0.2, 61, 65 Sort -3, -4, -174, 331123. -174, -4, -3, 331123 Put -1, 0, 92, 14, -1117 in ascending order. -1117, -1, 0, 14, 92 Sort 5, -8, 3, 1378, -3 in increasing order. -8, -3, 3, 5, 1378 Sort 1, -367229, -0.1 in increasing order. -367229, -0.1, 1 Put 598, 2, -243, -5, -3 in decreasing order. 598, 2, -3, -5, -243 Sort 15138.72, 4, 20. 4, 20, 15138.72 Put 11, 28, 204, -46 in descending order. 204, 28, 11, -46 Sort 4, 1311, -1, 0, 1785 in decreasing order. 1785, 1311, 4, 0, -1 Put 0, 2/11, 2, -78, -2/3, 0.8144 in ascending order. -78, -2/3, 0, 2/11, 0.8144, 2 Sort 414, 0.5, -4, 3984 in ascending order. -4, 0.5, 414, 3984 Sort -11, 5, -40, 1, -36, 7 in increasing order. -40, -36, -11, 1, 5, 7 Sort 4, -5, -4, 45996, 2, -13. -13, -5, -4, 2, 4, 45996 Sort 3, -125, -3, 0, 6 in descending order. 6, 3, 0, -3, -125 Sort -5, 2, -2095268 in ascending order. -2095268, -5, 2 Sort 2, 13167, 177, -5. -5, 2, 177, 13167 Put 422, -2, 1, -163 in decreasing order. 422, 1, -2, -163 Sort 2000, -599, -3 in descending order. 2000, -3, -599 Sort -6, 72, -3, -410, -2, 0 in ascending order. -410, -6, -3, -2, 0, 72 Sort 243512, 2, -589 in descending order. 243512, 2, -589 Sort -224, -5, -5416 in decreasing order. -5, -224, -5416 Put 5, 1, -3, -429, 707, -5 in decreasing order. 707, 5, 1, -3, -5, -429 Sort 193, -1.129, -0.16. -1.129, -0.16, 193 Put 86, -126, -339 in increasing order. -339, -126, 86 Sort -10875.3, 3, -9/2. -10875.3, -9/2, 3 Put -4, 63893.6, 6 in descending order. 63893.6, 6, -4 Put 4, 6, 54862 in decreasing order. 54862, 6, 4 Put -0.11, 2, 2/5, -44, -5 in increasing order. -44, -5, -0.11, 2/5, 2 Sort 3, -2, 1/8, -4.1, 5, -163.4 in descending order. 5, 3, 1/8, -2, -4.1, -163.4 Put -16, 2, -545, -60, -1, 3 in descending order. 3, 2, -1, -16, -60, -545 Sort 2, 0, -1, -4, 19, 80, 1 in decreasing order. 80, 19, 2, 1, 0, -1, -4 Put -250, -6693, 2/9 in decreasing order. 2/9, -250, -6693 Put 13975, -31, -229 in descending order. 13975, -31, -229 Put -858448, -3/2, 0.2, -14 in increasing order. -858448, -14, -3/2, 0.2 Put 202, -2, 15264 in ascending order. -2, 202, 15264 Sort 249, 3, 12581 in increasing order. 3, 249, 12581 Put -5, 94654, 3, 1 in decreasing order. 94654, 3, 1, -5 Put 9, 5, 59983 in ascending order. 5, 9, 59983 Put 15, 2/47, -0.1, -2/95355 in descending order. 15, 2/47, -2/95355, -0.1 Put -115/3, 0.6, -5, 2/9, 0.06 in increasing order. -115/3, -5, 0.06, 2/9, 0.6 Sort -4/9, -4, -2/535, 1, 1/3 in decreasing order. 1, 1/3, -2/535, -4/9, -4 Put 13, 2, 7505, 14 in decreasing order. 7505, 14, 13, 2 Sort 5, 28, 27, -45, -6, -5, -1 in ascending order. -45, -6, -5, -1, 5, 27, 28 Put -2356, 1, -512, 4, 5, 2 in ascending order. -2356, -512, 1, 2, 4, 5 Put 9, -4, 2, 369, -6, 0, 52 in ascending order. -6, -4, 0, 2, 9, 52, 369 Sort -15, 45, -2, -3, -7, -10 in decreasing order. 45, -2, -3, -7, -10, -15 Put -821, 333, -363 in increasing order. -821, -363, 333 Sort -33, 2, -67, 1, -1, 11861 in increasing order. -67, -33, -1, 1, 2, 11861 Put 19.642, -0.38, 1, 5, 4, -1/4 in decreasing order. 19.642, 5, 4, 1, -1/4, -0.38 Put 0, -1, -336838 in descending order. 0, -1, -336838 Sort -2698, -480, 2, 0 in increasing order. -2698, -480, 0, 2 Sort -70076, -1.72, 4/7 in descending order. 4/7, -1.72, -70076 Sort 5, -14, 118, -40882. -40882, -14, 5, 118 Sort -2850, 83, 11 in increasing order. -2850, 11, 83 Put -3, 5/6, -0.4, -32850, 0.5, 5 in increasing order. -32850, -3, -0.4, 0.5, 5/6, 5 Sort 3, 1, 54146, -1, -1/4 in decreasing order. 54146, 3, 1, -1/4, -1 Sort 5, 19700382, 4 in decreasing order. 19700382, 5, 4 Sort -8, 9811, 1047 in ascending order. -8, 1047, 9811 Put 259, 8695, -2 in ascending order. -2, 259, 8695 Sort 2, 7, -32114, -17, -2, -4 in descending order. 7, 2, -2, -4, -17, -32114 Put 1, 2, 538950 in decreasing order. 538950, 2, 1 Sort 2, -270, 1, -3, -4976, 5 in ascending order. -4976, -270, -3, 1, 2, 5 Put -18772, 9, -0.3, -0.6 in descending order. 9, -0.3, -0.6, -18772 Put -11906610, 22, -2 in increasing order. -11906610, -2, 22 Sort -4, 0, 2, -3, 4, 460 in descending order. 460, 4, 2, 0, -3, -4 Sort 0, -4, -373, -51. -373, -51, -4, 0 Put -4, -5719, -2/3301 in decreasing order. -2/3301, -4, -5719 Sort 0, 523, 24981 in increasing order. 0, 523, 24981 Put 118, -10, -1/2, -756, -4/5 in increasing order. -756, -10, -4/5, -1/2, 118 Sort 4741, -14, -10, 4, 1. -14, -10, 1, 4, 4741 Sort 0.5, -9627, 1/53 in decreasing order. 0.5, 1/53, -9627 Sort 9408, -0.26, 7, 0 in decreasing order. 9408, 7, 0, -0.26 Sort 938, 3, 4, -2259 in descending order. 938, 4, 3, -2259 Put -50, 33523.1, 2 in increasing order. -50, 2, 33523.1 Sort 4, -0.6, -630, -1, 72. -630, -1, -0.6, 4, 72 Put 3, 21, -1063, -3, 4, 14 in descending order. 21, 14, 4, 3, -3, -1063 Sort -4923, -438, 1 in increasing order. -4923, -438, 1
Two letters picked without replacement from kthihattaiatwta. Give prob of sequence tk. 1/42 Three letters picked without replacement from qqqqqqquqqqquqqqqqq. What is prob of sequence qqq? 40/57 Four letters picked without replacement from ajjjjaja. What is prob of sequence ajjj? 3/28 Calculate prob of sequence kkr when three letters picked without replacement from {k: 5, q: 1, x: 2, r: 4, c: 2, e: 1}. 8/273 Three letters picked without replacement from {j: 2, q: 1, v: 1, z: 6, e: 3}. Give prob of sequence jej. 1/286 Calculate prob of sequence rbg when three letters picked without replacement from {b: 2, r: 6, g: 2, i: 1, s: 5}. 1/140 Two letters picked without replacement from zhmzmxommmmmzzmhh. Give prob of sequence zo. 1/68 Calculate prob of sequence jxp when three letters picked without replacement from {v: 2, w: 2, o: 2, p: 1, x: 1, j: 1}. 1/504 Two letters picked without replacement from ycpmhphhcchyycmm. What is prob of sequence yc? 1/20 Two letters picked without replacement from {w: 2, i: 3, o: 10}. Give prob of sequence io. 1/7 Three letters picked without replacement from {r: 1, e: 8, f: 1, d: 4, j: 1}. What is prob of sequence fff? 0 Three letters picked without replacement from aaazzaqabaazazba. Give prob of sequence zbb. 1/420 Two letters picked without replacement from {p: 1, q: 1, s: 1, t: 2, j: 1, n: 2}. Give prob of sequence tp. 1/28 Two letters picked without replacement from {q: 2, g: 10, z: 2}. Give prob of sequence qq. 1/91 Four letters picked without replacement from uuetzuzucucu. What is prob of sequence zutc? 1/495 What is prob of sequence hhhh when four letters picked without replacement from hlhhlhhhllh? 7/66 Calculate prob of sequence lflr when four letters picked without replacement from {g: 4, l: 2, f: 1, k: 6, r: 2}. 1/8190 Four letters picked without replacement from {g: 10, a: 2}. What is prob of sequence gaag? 1/66 Calculate prob of sequence vo when two letters picked without replacement from {j: 3, k: 1, x: 2, v: 3, o: 5, r: 1}. 1/14 Three letters picked without replacement from {v: 5, o: 8}. What is prob of sequence ovv? 40/429 Four letters picked without replacement from xgxxgxgkggx. What is prob of sequence xxxx? 1/66 Three letters picked without replacement from ttzgztnt. Give prob of sequence tgz. 1/42 Calculate prob of sequence gsss when four letters picked without replacement from sgssssssssssssgsss. 14/153 Two letters picked without replacement from naabanaj. What is prob of sequence na? 1/7 Calculate prob of sequence bj when two letters picked without replacement from jijiisisjb. 1/30 Calculate prob of sequence mmm when three letters picked without replacement from {m: 5}. 1 Four letters picked without replacement from {l: 1, z: 1, p: 7, c: 7}. What is prob of sequence ppzc? 7/1040 What is prob of sequence nyy when three letters picked without replacement from {w: 3, y: 3, n: 5}? 1/33 Calculate prob of sequence ooo when three letters picked without replacement from okkonookknoo. 1/11 Four letters picked without replacement from trqytytapyp. What is prob of sequence pyqr? 1/1320 What is prob of sequence aa when two letters picked without replacement from {y: 2, m: 3, e: 1, a: 6, o: 3}? 1/7 Two letters picked without replacement from isis. Give prob of sequence ii. 1/6 What is prob of sequence rfnn when four letters picked without replacement from ffffrfffnxffnfnnxff? 1/646 Four letters picked without replacement from rfcwzccc. Give prob of sequence rwcf. 1/420 What is prob of sequence ffkk when four letters picked without replacement from {f: 5, j: 2, k: 2}? 5/378 Calculate prob of sequence tj when two letters picked without replacement from njtnnijjtji. 4/55 Four letters picked without replacement from ogogcooogccgg. Give prob of sequence oggc. 5/286 Calculate prob of sequence ddbb when four letters picked without replacement from bbbbdddddddb. 7/99 Three letters picked without replacement from {q: 6, h: 6}. Give prob of sequence hqq. 3/22 Three letters picked without replacement from inunnnnnni. Give prob of sequence iun. 7/360 Two letters picked without replacement from utuuuuuutuvutuuuu. What is prob of sequence ut? 39/272 What is prob of sequence ej when two letters picked without replacement from {e: 1, p: 5, j: 7}? 7/156 What is prob of sequence rad when three letters picked without replacement from qaraqyqryddqdly? 2/455 Four letters picked without replacement from vthvhhtittvvt. Give prob of sequence iith. 0 Calculate prob of sequence shh when three letters picked without replacement from sihhhhyhwhiichhhhh. 55/2448 Two letters picked without replacement from ihrshhhjhjjh. What is prob of sequence hr? 1/22 Three letters picked without replacement from fomfffofmmfzffm. What is prob of sequence ofm? 32/1365 Calculate prob of sequence mmmg when four letters picked without replacement from {g: 3, m: 4}. 3/35 Four letters picked without replacement from ukjkllvwu. Give prob of sequence vwkl. 1/756 Calculate prob of sequence bss when three letters picked without replacement from bssvsvsvvvv. 2/165 Three letters picked without replacement from ppbddpbhbbhppbpbppd. What is prob of sequence hbh? 2/969 Two letters picked without replacement from qmjmmmjmmm. Give prob of sequence jj. 1/45 Three letters picked without replacement from {z: 6, c: 6, v: 7}. Give prob of sequence vcv. 14/323 Four letters picked without replacement from bjbbjttjjjtb. Give prob of sequence jbbj. 2/99 What is prob of sequence popp when four letters picked without replacement from {j: 2, p: 7, o: 1, h: 4}? 5/572 Three letters picked without replacement from {z: 4, w: 3}. Give prob of sequence zzz. 4/35 Three letters picked without replacement from {l: 3, s: 7}. Give prob of sequence lsl. 7/120 Four letters picked without replacement from mkkkkmmkkmmkmmkmkrm. Give prob of sequence mrmm. 7/1292 Calculate prob of sequence lme when three letters picked without replacement from elemmmmjeejejjmmlmm. 40/2907 Three letters picked without replacement from {s: 2, w: 11, z: 1}. What is prob of sequence wzs? 11/1092 What is prob of sequence ks when two letters picked without replacement from {k: 2, y: 1, l: 1, s: 1, m: 2, n: 2}? 1/36 Calculate prob of sequence nn when two letters picked without replacement from oddoddmdnmnodmonn. 3/68 Calculate prob of sequence hrj when three letters picked without replacement from jzrhb. 1/60 What is prob of sequence vh when two letters picked without replacement from vybhvzo? 1/21 Three letters picked without replacement from {s: 4, g: 6}. Give prob of sequence sss. 1/30 Four letters picked without replacement from {p: 4, o: 3, c: 3, u: 1, t: 2, h: 6}. What is prob of sequence cpcc? 1/3876 Two letters picked without replacement from dacd. What is prob of sequence cd? 1/6 Four letters picked without replacement from {f: 5, d: 2, y: 1, g: 3, c: 1}. What is prob of sequence yfgd? 1/396 Two letters picked without replacement from fggdvgjvdvg. What is prob of sequence dj? 1/55 Calculate prob of sequence ix when two letters picked without replacement from xvvozdi. 1/42 Calculate prob of sequence ffgr when four letters picked without replacement from {r: 1, i: 3, g: 3, q: 2, f: 6}. 1/364 What is prob of sequence bu when two letters picked without replacement from uauuaaaaabbaaaaauxa? 4/171 Calculate prob of sequence sww when three letters picked without replacement from sssswsswwws. 14/165 Four letters picked without replacement from {e: 4, t: 4, m: 3}. What is prob of sequence etmm? 2/165 What is prob of sequence adbd when four letters picked without replacement from {n: 1, a: 1, b: 3, g: 6, d: 2}? 1/2860 What is prob of sequence bmm when three letters picked without replacement from {q: 1, g: 1, m: 8, b: 1, t: 1}? 7/165 Three letters picked without replacement from {y: 2, w: 4, n: 9, g: 1}. Give prob of sequence www. 1/140 Three letters picked without replacement from vvvvvrvr. What is prob of sequence vrr? 1/28 Two letters picked without replacement from {o: 5, x: 5, w: 2, a: 7}. What is prob of sequence ax? 35/342 Calculate prob of sequence joo when three letters picked without replacement from eowbbobboowjoowoboj. 56/2907 Calculate prob of sequence rcc when three letters picked without replacement from {p: 4, r: 4, q: 1, s: 1, z: 6, c: 3}. 4/969 Two letters picked without replacement from jmdwwwjwwwjr. Give prob of sequence ww. 5/22 What is prob of sequence tt when two letters picked without replacement from {e: 7, t: 2, m: 5}? 1/91
Let j = 198300 - 91307. Is j composite? False Let w be (1 - (7 + -30))*(-746)/6. Is 3/(2/w*-6) prime? False Suppose 4*t + 55 = -a, -3*t + t - 115 = 3*a. Is (-48)/14 + 3 - 47650/a composite? False Let p(w) = -14*w**3 + 7*w**2 - 29*w - 13. Let a be p(10). Let v = a - -29934. Is v prime? False Suppose -7*z - 155366 + 158104 + 466465 = 0. Is z a prime number? False Let i = 17 - 10. Let j be (i - 6) + 5*17. Let v = j - -963. Is v composite? False Suppose -2*r + 5*r + 27*r - 1428870 = 0. Is r prime? True Let y(x) = 6 + 3 + 2344*x + 821*x + 10. Is y(6) a prime number? True Let n = 44 + -40. Suppose -j - n*s + 1087 = 0, -4*j - 3*s = -1614 - 2669. Is j composite? True Let g(u) = 95*u**2 - 134*u + 322. Is g(41) a composite number? False Let b be (7 - (-104)/(-16))*-34572. Is 5/50*5*10 - b a prime number? True Suppose -x = 101 + 937. Let u = 2153 + x. Is u prime? False Let t(p) = -39 + 19 + 51 + 243*p. Let y be (-38)/(-10) - 2/(-10). Is t(y) composite? True Is 1428857/3 + (-3 - 147/(-63)) a prime number? False Let x(n) = -291*n**3 + n**2 + 3*n + 4. Let j be x(3). Let m = 11884 + j. Is m composite? False Is 2/((4 - (-24276424)/(-6069108))/(34/102)) a composite number? False Suppose -c + 70 = 23. Suppose -60 = c*z - 45*z. Is 885/z*28/(-2) a composite number? True Let y(g) be the first derivative of 7*g**3/3 + 15*g**2/2 - 7*g + 7. Let p be y(-6). Is p + (2 - 2) + 2 composite? False Let s be 3*-1 + 18 + -11. Suppose 0 = s*p - 2*p. Is 2 + 526 - (p - -1) a composite number? True Let y = 465 + -461. Suppose 3*f + 36 + 1686 = 3*u, 0 = -4*u - y*f + 2288. Is u a prime number? False Suppose 7*r - 12*r - 5*f + 32650 = 0, 5*f + 32630 = 5*r. Suppose -t + r = -5669. Is t composite? False Let n be (-12)/(-9)*(14 - 5)/3. Suppose -22154 = -2*y - n*x, -3*y - 4*x + 33204 = -7*x. Is y prime? True Let x be 1/(-4) - (33/12)/(-11). Suppose 3*m - 15295 + 5068 = x. Is m a composite number? True Suppose -22*r = 4*r - 14256892. Is r a composite number? True Let k = -285 - -290. Suppose 25890 + 8845 = k*n. Is n prime? True Suppose -466071 = -4*w + 5*h, 5*w - 4*w - 5*h = 116514. Is w a prime number? False Suppose 6 = -2*q, -2*q = 4*k - 3*k + 7. Let l(i) = -31546*i**3 + 2*i + 3. Is l(k) a composite number? False Suppose -64*m + 31485763 + 19200139 = 70*m. Is m a prime number? True Let n(t) = t**3 - 8*t**2 + t + 45. Let q be n(8). Suppose -41*w + q*w = 48996. Is w a prime number? False Suppose 4*r + r + f - 24965425 = 0, 2*r - 9986170 = -2*f. Is r composite? True Suppose -b = 3*w - 4*b - 164874, -w - 3*b = -54938. Is w a composite number? True Let j be 0 + 5/(15/12). Suppose 0 = -12*y + j*y + 16424. Is y a composite number? False Is (2/5)/((-984)/(-10512195))*76 prime? False Let o be -30*((-7)/6 - -1). Suppose -331 = o*v - 1346. Is v prime? False Let b = 1395 - -3652. Let w = b + -510. Suppose 0 = -2*p + y + w + 752, -5*y = 5*p - 13200. Is p composite? True Let c = 97 - -55. Is 6/(-8) + 356098/c composite? True Is (-342911*((-30)/(-12) - 3))/((-21)/(-42)) a prime number? False Let r(n) = -5 - 6*n**2 - n**3 - 7 - 7*n + 6. Let m be r(-5). Is 1/(m + (-4215)/1055) a composite number? False Let w = -23266 + 37490. Suppose w = 3*m + m. Suppose 2501 = 3*v - m. Is v composite? True Suppose -1463316 = -3*g + 3*k, 4*k + 693 - 689 = 0. Is g prime? False Suppose 5700*v + 158919 = 5703*v. Is v a prime number? True Let v be 1/6 - (-657)/(-54). Is (-1 + v/(-4))/((-6)/(-7071)) composite? False Suppose -s + 27*s + 22*s - 24210384 = 0. Is s a composite number? True Let q(g) be the second derivative of 121*g**3/6 + g**2/2 + 19*g. Let l be q(4). Suppose 0 = -5*u + 2395 - l. Is u a prime number? False Suppose 134*n = 127*n + 49483. Is n prime? True Is (-46)/(-6)*(4557 - -180) a prime number? False Let t(a) = -3193*a - 37. Is t(-6) prime? True Is 39*(0 - (-5)/6)*(-2348564)/(-970) composite? True Let g(s) = -3*s - 68. Let x be g(-24). Suppose -16 = -4*z - x. Suppose -z*i + 4*l = -6267 - 1474, -5*l + 25 = 0. Is i a composite number? True Suppose 5 = -4*r + 5*g, -10*g = -5*g + 15. Let t = 0 - 0. Is 887/(-5)*(r - t) composite? False Is 85/119*21 + 77906 prime? False Let s = 30 + -8. Suppose 0 = -i + 4*k + s, -2 = 2*i + k - 1. Suppose -3*h + i*h + 179 = 0. Is h composite? False Let z(i) = -2*i + 28. Let p be z(13). Let l(o) = -101*o + 1 + p - 101*o - 2. Is l(-1) a composite number? True Let s(j) = 144*j + 124. Let r(q) = 48*q + 41. Let w(o) = -7*r(o) + 2*s(o). Let m be -30*((-40)/(-6) + -6). Is w(m) composite? True Suppose 18*a - 1013908 = 699170. Is a composite? True Let o(z) = -3*z**3 - 31*z**2 - 4*z - 1. Let u(i) = -7*i**3 - 63*i**2 - 7*i - 1. Let d(q) = -5*o(q) + 2*u(q). Is d(-22) composite? False Suppose 3*j + 2*u - 35070 = 8*j, 4*j = 5*u - 28073. Let s = j - -14011. Is s a composite number? True Let a(q) = 253*q**2 - 1972*q - 70. Is a(-39) a prime number? False Let y be (-22 + -101)*(-2)/6. Suppose y*d = 36*d - 445. Let f = d + 110. Is f a prime number? False Let p(z) = 5*z**2 - 68*z + 530. Is p(57) prime? True Suppose -90 + 12 = -26*o. Suppose 30*w = o*w + 1003401. Is w prime? False Let z(p) = 1 + 602*p**2 + 1251*p**2 - 9*p + 3*p - 4*p. Is z(4) a composite number? True Suppose -2*h + 4*a + 97710 = 0, 2*h - 5*a - 48281 - 49433 = 0. Is h composite? False Suppose s - 7725 = 4*h + 6716, 4*s - 4*h - 57752 = 0. Is s prime? True Let j(p) = p**2 + 5*p - 11. Let d be j(-7). Is (-264405)/(-120) - d/8 a prime number? True Suppose 3*f - 3*v = 51, -4*f = 5*v - 25 - 25. Suppose -3 = 2*a - p, -3*a + 0*p = 2*p + f. Let m(n) = -19*n**3 - n**2 - 2*n - 1. Is m(a) a prime number? True Is ((-312024)/2)/(-12) + (-4 + 0)/1 a composite number? True Is 2672332/65 + 9/45 composite? False Suppose 7*m + 537 = 509. Is (-304)/(-76)*(-9967)/m a composite number? False Let n(o) = 344*o**3 - 41*o**2 + 216*o - 21. Is n(8) composite? False Let i be 300/(-21) + 2/7. Suppose 134*a - 119*a + 3015 = 0. Let u = i - a. Is u a composite number? True Suppose -314*d + 45602606 - 12000524 = 0. Is d composite? True Suppose -2*p = -5*n - 0*p + 33, -p = 2*n - 6. Suppose 3*c - 30 = -3*v, 2*c = 4*v - 3*c + n. Suppose 0 = -v*l - 0*l - 5*k + 5815, -5*l + 4*k = -5815. Is l prime? True Suppose -5*d + 4*m - 30 = 0, -4*d - 14 = -m - 1. Is 6 + 485 + 2 + d a prime number? True Let c = -2192 - -2045. Let k(a) = 49*a + 5. Let u be k(-6). Let x = c - u. Is x a composite number? True Let z = 11090 - 6058. Suppose 5*y = 4*l - z, 2522 = 2*l - 2*y - 2*y. Is 11 + l - (1 + -5 - -1) composite? True Let f = 199 - 197. Suppose -2*c - 3*c - o + 64957 = 0, -f*o = c - 12995. Is c prime? False Suppose 0*j + 5*j = 19*j - 166922. Is j a prime number? True Let z(u) = u**2 - 2*u - 16. Suppose -7 = s - 2*t, 3*s - 2*t = -3 - 2. Let g be -4 - ((-9)/s - 2). Is z(g) a prime number? True Let m = -83 + 93. Suppose 0 = -j - m + 53. Suppose 0 = j*c - 42*c - 157. Is c prime? True Let u(y) = -y - 19. Let t(r) = r**3 - 11*r**2 + 7*r + 9. Let o be t(10). Let x be u(o). Suppose 9*j - x*j = 18263. Is j prime? True Let j be (-33)/(-9) - 2/3. Let l be -10 - 14 - (j - 2). Is (-3 + l/(-10))*-170 a composite number? True Let q(i) = 102*i**2 - 1202*i + 38. Is q(39) prime? False Let q be 374/18 - (-32)/144. Suppose 0 = -q*r + 4510 + 4163. Is r composite? True Let y = 414103 - 248960. Is y composite? True Let h(f) = 3355*f - 418. Let x(g) = 23*g - 225. Let m be x(10). Is h(m) prime? False Is 1 + 80*(-1281)/(-14) prime? True Let t be (12/(-10) + 0)/((-546)/2259075) + 5. Let n(u) = -109*u**2 - 2*u + 3. Let l be n(4). Let p = t + l. Is p prime? True Suppose 310*s - 328*s = -4394502. Is s a composite number? True Is 2/(8 + (-17324976)/1999044 - 4/(-6)) a composite number? False Suppose -29079 - 78314 + 21643 = -7*o. Suppose -4*u = v + 3*v - 27800, -12 = 4*u. Let b = o - v. Is b composite? False Suppose 0 = -4*y - 5*j + 1348074 - 6314, 5*y = 3*j + 1677200. Suppose -83636 = -36*k + y. Is k prime? False Let o(k) = k**3 + 4*k**2 - 94*k + 629491. Is o(0) a prime number? True Let d(o) = -22*o**2 - 11*o - 22. Let a be d(8). Let q = a + 2389. Is q composite? True Is 12 + -15 + (0 - 471318)*(-3)/9 a prime number? True Let n(p) = 15 - 7*p - 214*p - 85*p + 26*p. Let w be n(4). Let a = 532 - w. Is a prime? True Let w = 179 + -189. Let a(z) = -1419*z + 329. Is a(w) a prime number? True Suppose 3*r = 7*r - 5*o - 13, 5*r + 5*o - 5 = 0. Suppose 4*x = -5*k + 6396 + 5607, 15045 = 5*x - r*k. Is x composite? True Let g = -382794 + 651811. Is g a composite number? True Suppose 2*a = -2*a, 5*a + 36 = 2*t. Let v(k) = -10 + 217*k + 19 - 26 + 14*k - 50. Is v(t) composite? False
Work out -0.19 * 88.3. -16.777 What is 0.018 times -1996? -35.928 Multiply -0.115 and -602. 69.23 -1013 times 37.3 -37784.9 Product of -13706 and 4. -54824 -155.5*-183.8 28580.9 816619 times 0.6 489971.4 Multiply -16.0296 and 0. 0 0.546569 * 1 0.546569 Work out 0.11 * -3.47. -0.3817 Work out 4659 * -0.1267. -590.2953 What is 2 times -35.3863? -70.7726 Work out 0.659 * -0.1. -0.0659 Calculate 14*806. 11284 Work out -0.45361 * -0.06. 0.0272166 0.0806 times 0.26 0.020956 What is the product of 217 and 0.084? 18.228 What is 34782 times -0.32? -11130.24 Multiply -0.856 and -1.31. 1.12136 -2.3*1225 -2817.5 -7 * -156713 1096991 -12.309 * -0.5 6.1545 Work out -10 * 267655. -2676550 What is 3994 times -0.088? -351.472 Product of -0.1 and 46047. -4604.7 -0.3 times -0.09813 0.029439 Product of -117 and 42. -4914 Product of 0.105 and -561. -58.905 Work out 7.7 * 0.064. 0.4928 Product of 141.386 and -0.5. -70.693 Work out -488716.8 * 4. -1954867.2 -12 * -11247 134964 What is -0.01 times 699422? -6994.22 12.2 times 0.1318 1.60796 Multiply -9.7 and -0.01. 0.097 Work out 0.05 * 0.478548. 0.0239274 Calculate 6*3138. 18828 What is the product of -2277 and -908? 2067516 -2.8144 times 1.09 -3.067696 What is the product of -59 and 26377? -1556243 Work out 29627 * 39. 1155453 -20.7 times 0.0145 -0.30015 Work out -0.018 * -131384. 2364.912 0.261*1 0.261 Calculate 0*0.5032. 0 3 * 2651 7953 Calculate -67*-11672.1. 782030.7 Work out -23 * -28648. 658904 116*-0.63626 -73.80616 17974*0.1 1797.4 11 * -6832 -75152 What is the product of 3 and 0.139796? 0.419388 7.3 times 65.5 478.15 -94 * -0.032346 3.040524 Multiply 33 and 2.563. 84.579 Product of -264 and -193. 50952 What is -34 times -16958? 576572 What is the product of -6.8 and -11.112? 75.5616 13.44635*-0.5 -6.723175 Calculate -1*-7152. 7152 -157 * -3.98 624.86 Work out -0.47 * -3762.7. 1768.469 Calculate -651*-45. 29295 Multiply -473 and 2238. -1058574 -1 times 811049 -811049 Multiply -6 and 2984. -17904 Multiply -13.6 and -13.6. 184.96 -29 times -18781 544649 Multiply -266322 and 2. -532644 Product of 2908 and -36. -104688 1.1 times -4165 -4581.5 117982*-4 -471928 Work out 87.2 * -105. -9156 What is the product of -108.1 and 39? -4215.9 Calculate 285*-11. -3135 -388*-0.141 54.708 Work out -180 * -18.32. 3297.6 Product of 0.78706 and -2. -1.57412 Product of -4 and 357. -1428 What is the product of 0.3 and 18.9767? 5.69301 Work out 4 * -10054. -40216 Work out -0.3 * 985.2. -295.56 17 * -1047 -17799 Work out 2710 * -0.18. -487.8 4079.2 times 48 195801.6 3 times -19.252 -57.756 Calculate 0.1*134.8. 13.48 What is -3 times 1.7932? -5.3796 4*-48258 -193032 -1079*-21.79 23511.41 Work out 410 * -107. -43870 Work out -382 * 0.01267. -4.83994 Work out -0.1 * 68551. -6855.1 Calculate -1*17446. -17446 What is the product of 2 and 26873? 53746 5 * 0.13266 0.6633 What is 140 times 390.9? 54726 4 times -3121 -12484 -907*-19.2 17414.4 Calculate 19*-0.28565. -5.42735 Calculate -0.4*-701.7. 280.68 What is the product of -0.4 and 14608.5? -5843.4 Product of -2182 and 1061. -2315102 What is 3.4 times -0.2577? -0.87618 2118244*-1 -2118244 Product of 16 and -166.32. -2661.12 0.01508*-0.012 -0.00018096 What is the product of 1519 and 2? 3038 -0.06795*-0.184 0.0125028 What is the product of 0.4 and -107965? -43186 312.563*0.4 125.0252 0.4 times 0.12507 0.050028 Work out 784 * 2.89. 2265.76 Calculate -165*-3.56. 587.4 Multiply 42059 and -19. -799121 Multiply 0.3 and -18233. -5469.9 Work out -2 * -21955. 43910 -1294937 times 2 -2589874 Work out -0.1 * 675.68. -67.568 What is the product of -0.0703 and 19.56? -1.375068 Calculate -686*39. -26754 Calculate 0.051*30.003. 1.530153 47.412 times -0.2 -9.4824 Calculate 0.3*21579. 6473.7 -4020 * 4 -16080 23967*0.2 4793.4 Multiply -0.0482 and -164.2. 7.91444 -83*59 -4897 Product of 77378.8 and 4. 309515.2 What is -0.2 times 79050? -15810 Multiply 6 and -316. -1896 What is the product of 17900 and 0.65? 11635 7*0.030506 0.213542 Multiply 1.04126 and -17. -17.70142 Product of 0.03 and 848.1. 25.443 Product of -686314 and 3. -2058942 Work out 1.6438 * 4. 6.5752 What is -556.43 times -2? 1112.86 26 times 35117 913042 Multiply -0.5 and -222.378. 111.189 25476*-6 -152856 0*-7358 0 Calculate 67*6965. 466655 What is the product of -25.314 and -0.098? 2.480772 Calculate 1.157*-2. -2.314 What is the product of 6661 and 0.3? 1998.3 -4608*-10.3 47462.4 Work out -7 * -43156. 302092 Product of 0.9 and -51.3. -46.17 13 * -4355 -56615 What is 22 times -0.00211? -0.04642 What is the product of 0.7 and 9.274? 6.4918 Multiply 11 and 817. 8987 What is the product of 2.054 and 0.89? 1.82806 Work out 1 * 40.27. 40.27 What is 26935 times 0? 0 7 * -3.73 -26.11 2.1 times 421 884.1 Calculate -6368*5. -31840 -0.4 times 6534.6 -2613.84 Product of 266.6 and 0.1. 26.66 -3 times 1.193 -3.579 Calculate -2*-205654.4. 411308.8 Product of -113.4118 and -0.3. 34.02354 -31.2022 * 3 -93.6066 840 * 0.02 16.8 -473*-1741 823493 What is the product of -39.832 and -4? 159.328 -33782.67 times 0.4 -13513.068 -2*-614714 1229428 -20479*-3 61437 Work out -0.1 * 1635421. -163542.1 Multiply -213789 and -0.03. 6413.67 Product of -3.618 and -0.1. 0.3618 -16.303*0.2 -3.2606 What is the product of 0.01 and -119716? -1197.16 Multiply -0.1626 and -0.0055. 0.0008943 -2 times 42.5215 -85.043 Product of -1.659 and -0.193. 0.320187 0.0955 times -1581 -150.9855 7 times -0.10822 -0.75754 Product of 4.3483 and 0. 0 216.4681*-0.4 -86.58724 Work out 0.7 * -1583.2. -1108.24 What is -0.15 times -4.728? 0.7092 Multiply 79771 and 3. 239313 126.305 * 2 252.61 Multiply 60219 and 4. 240876 Work out 3 * 0.10199. 0.30597 Work out 0.4 * 0.1609032. 0.06436128 What is the product of -376 and 0.09? -33.84 -0.2*313804 -62760.8 What is the product of -3 and 1.3078? -3.9234 What is 97.667 times 1.5? 146.5005 Work out -14984 * 7. -104888 Multiply -10 and -0.4417. 4.417 What is -3 times 0.0098? -0.0294 Multiply 8.7 and 3.1236. 27.17532 -2336 * -0.329 768.544 What is -958496 times -4? 3833984 What is -0.0599 times -0.674? 0.0403726 What is the product of 3004 and -445? -1336780 Multiply 6279541 and -0.1. -627954.1 Multiply -0.060031 and -0.3. 0.0180093 505 * -155 -78275 -0.056 * 1398 -78.288 Work out -4.58 * -817. 3741.86 -2 * -10647 21294 What is the product of 21886 and -23? -503378 2839.293 * 0.5 1419.6465 What is 4 times 11035? 44140 0 * -3420.1 0 What is -23.4 times -11.44? 267.696 Calculate 5*-9.9003. -49.5015 1763613*0.4 705445.2 What is the product of 39 and 0.056? 2.184 Product of 11 and 711. 7821 Product of -7576 and -0.0576. 436.3776 Work out -122.34 * 14. -1712.76 Calculate -6*1639. -9834 Product of 5.4 and -0.0127. -0.06858 What is the product of 704 and -5.807? -4088.128 0.244 times -13 -3.172 Product of -239 and 1552. -370928 -0.27733*-91 25.23703 Product of 308.925 and -7. -2162.475 -15145*0.7 -10601.5 Product of 29.23 and 0.5. 14.615 -106.4 * -59 6277.6 525 * 1.7 892.5 What is 380.49 times -0.2? -76.098 -54 * -1445 78030 Product of 0.047 and -302. -14.194 What is 0.2 times -420209? -84041.8 Product of 64.5 and -3. -193.5 What is 327176 times -0.2? -65435.2 Work out -64.7 * -315. 20380.5 What is the product of 318883 and -1? -318883 Work out 209356.2 * 3. 628068.6 What is the product of 2.71 and -12373? -33530.83 What is the product of -0.22 and -863? 189.86 Work out -2.5 * 1025.69. -2564.225 Multiply -0.05 and 4556. -227.8 Work out -4372.75 * 0.5. -2186.375 -1769.6*-0.5 884.8 Calculate -385860*-0.3. 115758 Work out 3 * -900.97. -2702.91 Work out -2.08 * -1471. 3059.68 What is the product of -10 and -0.085929? 0.85929 Product of 0.0131 and 47. 0.6157 Work out -9032.5 * 13. -117422.5 -2.3 times 15998.1 -36795.63 What is 2706 times -1.3? -3517.8 Work out -74 * -0.2013. 14.8962 Multiply 293.5 and -22. -6457 -335*0.04334 -14.5189 Calculate -6*18.4648. -110.7888 Product of -3.8 and -17363. 65979.4 Product of 2119.89 and 20. 42397.8 -0.2*0.0418808 -0.00837616 Product of 0.4 and -572017. -228806.8 256.45 * -0.06 -15.387 Product of 0.6 and 0.3755. 0.2253 What is the product of 12.0914 and 0.4? 4.83656 Work out -51 * -0.048. 2.448 Multiply 0.1170543 and 1. 0.1170543 Product of 26679 and 0.1. 2667.9 Product of -0.6585 and -7. 4.6095 Calculate -1*5.16663. -5.16663 1.4 times 12.271 17.1794 Product of -12705 and 0.3. -3811.5 What is 0.008206 times -0.008? -0.000065648 Work out -1.4 * -13810. 19334 Work out -26 * 45355. -1179230 Product of 11.678 and 24. 280.272 -1.38389*-0.5 0.691945 -517743*0.2 -103548.6 What is -0.40259 times 0.5? -0.201295 What is the product of 4 and -17309? -69236 Calculate -46.3*9715. -449804.5 Work out -0.3 * 0.3032. -0.09096 Work out -0.1987 * -0.3. 0.05961 Calculate -41187*0.12. -4942.44 Multiply 5 and 0.14783. 0.73915 What is -72 times 8035.6? -578563.2 Work out 0.3 * -257.21. -77.163 Calculate 4*-406502. -1626008
Rearrange -2 - d**4 + 2 + (4*d**2 - d**4 - 4*d**2)*(-118 + 39 - 83) - d**4 - 2 + 2 to the form u*d**2 + v*d**4 + f + o*d + x*d**3 and give v. 160 Rearrange -40*u - 60 + 25*u + 17*u - 11 to n*u + y and give y. -71 Express -48*g**2 + 36*g**3 + 14*g**2 + 11*g**2 + 24*g**2 + g + g in the form n*g**2 + t*g**3 + v*g + p and give t. 36 Express 76*j - 109*j + 5*j**3 - 8*j**3 in the form p*j + a + w*j**2 + h*j**3 and give p. -33 Express -1286 + 500*s + 1286 + 4*s - s + 0*s + (-s - s + 0*s)*(1 - 3 + 1) as c + l*s and give l. 505 Rearrange 10*p + 36*p + 24*p + 122*p to q + f*p and give f. 192 Express 3*c + 62 + 8*c - 115 + 57 as f + w*c and give f. 4 Rearrange 0*z**2 - 207*z**3 - 3*z + 4*z - 3*z**2 + 79*z**3 + 0*z to q*z + v*z**3 + d*z**2 + k and give v. -128 Express 78*i - 28*i + 58*i + (i + 2*i - 2*i)*(2 - 1 - 6) in the form k*i + v and give k. 103 Rearrange -467*x - 100*x + 130*x + 0 - 476*x + 1 to h*x + q and give h. -913 Rearrange (7*d - 2*d - 3*d)*(2*d - 2*d - 2*d)*((11 + 13*d - 11)*(-1 - 2 + 2) - 4*d + 2*d + 4*d) to the form q*d + f*d**2 + z*d**3 + i and give z. 44 Rearrange (5*j**3 + 0*j**2 + 0*j**2)*(4 - 4 + 4*j) - 11*j**4 - 179*j + 179*j to u + w*j**2 + l*j**3 + b*j**4 + t*j and give b. 9 Express (-6*s**2 + 31*s - 31*s)*(4*s - 6*s - 3 + 1) + 0*s**3 + 0*s**3 + 2*s**3 + 20 - 7 - 16 - 3*s**3 as t*s**2 + z*s**3 + r*s + n and give z. 11 Rearrange (2*a**2 - 4*a**2 - 3*a**2)*(a - 4*a + a) + (5*a**3 + a**3 - 4*a**3)*(-22 - 39 - 74) to the form p + s*a + b*a**2 + j*a**3 and give j. -260 Rearrange 0*m - 55*m - 4*m - 53*m to b + k*m and give k. -112 Express (-3*c + 6*c - 2*c)*(-1 - 2*c + 1) + 26*c + 10*c**2 - 26*c + (-2*c + c + 0*c)*(-15 - 316 + 172 + c) in the form w*c + s + q*c**2 and give w. 159 Express (1 - 3 - 1)*(-147*m + 17 - 17) in the form i*m + s and give i. 441 Rearrange -52*s**4 + 0*s**2 - 4968 + 4969 - 8*s + 10*s + 0*s**2 + 9*s**3 to q + f*s + u*s**2 + a*s**3 + v*s**4 and give q. 1 Rearrange -3377*m**2 + 73*m + 12*m + 3380*m**2 to c*m + v*m**2 + u and give v. 3 Rearrange (1 - 2 - 1)*(3*q + 2*q - 3*q) + (-17 + 12 - 22)*(-4*q + 5*q - 2*q) to the form n*q + b and give n. 23 Rearrange (2*j**2 + 5 - 5)*(-2*j**2 - j**2 - 4*j**2) + (4*j**4 - j**4 - j**4)*(3 + 2 - 7) to the form t*j**3 + g*j**4 + l*j + v + x*j**2 and give l. 0 Rearrange 2 - 9935*d**4 + 2*d**2 - 2*d**3 + 0 + 10011*d**4 to the form u*d**3 + l*d + m*d**4 + r*d**2 + x and give m. 76 Express 0*i**3 + 2*i + 10 - i**3 + 6*i**2 - 7*i**2 + 10 in the form f*i**3 + n*i**2 + l*i + j and give j. 20 Express (-4 - 4 + 1)*(-1 - 1 - h + 6*h) - h + 3*h + h + (-2 - 2 + 2)*(-1 + 2*h + 1) - 3 + 3 - 2*h + 0*h + 0*h + 2*h as o*h + g and give g. 14 Rearrange (-2*i**2 - 3*i**2 + i**2)*(-11*i**2 - 12*i**2 + 4*i**2) - 3*i**4 - i**4 + 2*i**4 to the form k*i**3 + m + p*i + v*i**2 + j*i**4 and give j. 74 Rearrange -869*y + 20*y**2 + 869*y - 4 to f*y**2 + r*y + o and give o. -4 Rearrange (-2*i + 0 + 0)*(-4 + 4 - 2)*(-189 - 255 + 122) to the form k + d*i and give d. -1288 Express (22*t**2 - 28*t**2 + 42*t**2)*(-t + 5 - 5) - 4*t**3 - 8*t**2 + 8*t**2 as y*t**2 + x*t + n + s*t**3 and give n. 0 Rearrange (-2 + 5 - 7)*(-1 - 7 + 1)*(-6*t**4 + 0*t**4 - 2*t**4) to the form j*t**2 + v*t**3 + r + q*t**4 + h*t and give q. -224 Express (2 - 3 + 0)*(-2 + 6 + 0)*(150 + 34*k - 150) as n*k + v and give n. -136 Express -6*k**2 - 89*k + 0*k**3 + 5*k**3 + 87*k as p + n*k**3 + m*k + a*k**2 and give a. -6 Express -7*k**3 + 5*k**3 - 92 + 375*k**2 - 89 + 178 as a*k**2 + h*k + b*k**3 + c and give a. 375 Express 42779 + 878*z - 42779 + 828*z in the form p*z + d and give p. 1706 Express -55 + 78*i - 57 + 112 as z*i + d and give z. 78 Rearrange (29*g**2 + 28*g**2 + 20*g**2)*(-2 + 1 + 2 + 0 - 1 - 1 + (1 + 3 - 2)*(0 + 3 - 4)) to the form q*g**2 + x*g + l and give q. -231 Rearrange 371*g + 2 + 33*g + 408*g - 162*g to the form n*g + d and give n. 650 Express 0*z + 103*z**2 - 5*z - 95*z**2 - 1 as y + d*z**2 + f*z and give f. -5 Express -q**2 - 4*q + 6*q - 199 + 8*q**4 + 198 as h*q**2 + u*q**4 + b + z*q**3 + r*q and give h. -1 Rearrange 138*c**2 + 10632*c - 10633*c - 41*c**2 to u*c + i + d*c**2 and give i. 0 Rearrange 2*b + 0*b - b + (431 - 174 - 155)*(3 - 3 - 2*b) to the form m*b + t and give m. -203 Express (4*g - g - g)*(g**3 - g**3 + g**3) - 13*g**4 - 29*g + 29*g + 2*g**4 + 1 - 1 + 2*g**3 in the form x*g**3 + k*g**4 + u*g**2 + j*g + p and give x. 2 Rearrange -9848*f**3 + 9847*f**3 - 11 - 4*f**4 - 2 to a + i*f**2 + r*f**3 + y*f + h*f**4 and give r. -1 Express (-2*u + 6*u - 2*u)*(u - 3*u + 3*u) + 186 - 186 - 8*u**2 - 5*u**2 + 6*u**2 + u**2 in the form d*u**2 + x*u + l and give d. -4 Express ((-65 - 63 + 120)*(-4 + 0 + 2) + 5 + 0 + 5)*(-1 - 2*m + 1) as u*m + z and give u. -52 Express 204*w - 48*w - 703*w in the form n + s*w and give s. -547 Rearrange -11*n**4 + n**2 - 4 + 7*n**4 + 46 to the form a + t*n**3 + b*n**2 + f*n**4 + u*n and give f. -4 Rearrange -58*w**3 - 659*w + 4 + 659*w to the form z*w + n*w**2 + l + x*w**3 and give l. 4 Rearrange 3 - 128*u - 3 + 0 + 0 - u**3 to the form c + x*u**3 + k*u + o*u**2 and give k. -128 Express -14 - 2*t - 8 + 0 - 4*t - 1 as z*t + f and give z. -6 Rearrange 3 + 2 + 2 - 7*l - 3*l**2 - 3*l**3 - 6 to the form q*l**2 + w*l + f*l**3 + h and give q. -3 Express -113*b**2 + b + 756*b**2 - 82*b**2 in the form y + n*b**2 + p*b and give p. 1 Express -4*d + 6*d - 926*d**3 + 2 + 3*d**2 + 920*d**3 in the form z*d**2 + h*d + n*d**3 + k and give k. 2 Express (0 + 0 + 3)*(-5 + 2 + 1)*(41*m + 7*m + 20*m) in the form a + u*m and give u. -408 Rearrange (-6*j + 28 + 23 - 53)*(-1 + 2 - 2) to the form d + s*j and give d. 2 Express 8 - 12 + 19*u - 1 as a + y*u and give a. -5 Rearrange (6 - 13 - 2 + (1 + 1 + 3)*(3 - 4 + 0))*(-5*z**4 + 14*z**2 - 14*z**2) to q + k*z**2 + n*z**3 + y*z + c*z**4 and give c. 70 Rearrange 3 - 9 + l**2 + l**2 + l + 21*l to r*l + t*l**2 + q and give r. 22 Express 18*w**3 + 9*w + 3*w**3 + 5*w**4 - 6*w**3 - 11*w in the form d*w**2 + j*w**3 + i*w + h + u*w**4 and give i. -2 Rearrange (2 + 0 + 0)*(1 + 0 - 3)*(1084 + 2*y + y - 1115) to h + b*y and give b. -12 Rearrange 22*v**3 + 19 + 17*v**3 - 14*v**3 - 15 to l*v + o + t*v**2 + c*v**3 and give o. 4 Rearrange (-3*o + 0*o + 0*o)*(-12 + 4 - 22) - o - 6*o + 2*o to the form l*o + y and give l. 85 Express (2*c + 2*c - 5*c)*(6*c + c + c) + 121*c - 42*c**2 - 121*c in the form q + j*c**2 + x*c and give j. -50 Express 24 - 757*q**2 - 3 - 6 - 15 in the form f*q + s + b*q**2 and give b. -757 Express (7 - 1 - 2)*(12 + 2*r - 12 + r + r - r + (3 - 5 + 1)*(0*r + 0*r + 2*r)) in the form d + x*r and give x. 4 Express -17*d**2 - 8976 + 8995 - 7*d**2 in the form a + g*d + w*d**2 and give w. -24 Express 0*k**2 - 2*k**3 + 2*k**2 + 4*k**2 - 4*k**2 + 7*k - k**2 as o*k + j + a*k**2 + l*k**3 and give o. 7 Express 3*k**3 + 115 - 10*k + k - 9*k + 16*k in the form v*k**2 + b*k**3 + y*k + u and give b. 3 Rearrange (20 - 36 + 21)*(0*m - 3*m + 5*m) + (2 - 5 + 2)*(3 - 2*m - 3) + 0 + m + 0 - m - 3 + 3 + (-5 + 5 - 1)*(-2*m + 2*m + 2*m) to b*m + v and give b. 10 Express 4*x + 58581 - 58574 + 2*x - 2*x**3 + 2*x**2 - 4*x as q*x**2 + p + v*x**3 + b*x and give b. 2 Express 31 + 34 + 373*f**2 - 65 as d*f + n*f**2 + k and give n. 373 Rearrange (0*i - 2*i**4 + 0*i)*((-1 + 2 + 0)*(1 + 1 - 1) + 70 - 69 - 102) to z*i**2 + n*i**4 + v*i + h + l*i**3 and give n. 200 Express -18*k + 11*k - 320*k as l + p*k and give p. -327 Rearrange 5*a**2 - 73*a**2 - 24*a**2 + 10*a**2 to n*a**2 + x*a + y and give n. -82 Express 35*f**3 - 9*f**3 - 4*f**3 - 8*f**2 - 13*f**3 - f**4 - 7*f**3 - 2 in the form i*f + w*f**3 + m*f**2 + k*f**4 + y and give k. -1 Express 2 + 41*c - 30*c + 63*c + 2*c + c - 5*c + (-1 + 2 + 1)*(-2*c - c + 2*c) - 2*c - 2*c + 3*c + 2*c - c + 0*c in the form y + s*c and give y. 2 Express o - 31 - 3*o + 118 - 2*o + 0 + 0 + 2*o - 2*o - o + (-3 + 3 - 2*o)*(-1 + 0 + 0) - 4*o + 4*o - 2*o + 4*o + 0*o - 2*o as v + g*o and give g. -3 Rearrange (-95 - 5*z**2 + 109 + 8*z**2)*(5 - 2 + 1) to w*z + v*z**2 + m and give m. 56 Express 73*w - 39*w - 106*w - 6 as a*w + h and give a. -72 Rearrange -8 - 4*h + 32*h - 9*h - 13*h to the form q + l*h and give l. 6 Express (-6 + 3 + 0)*(-9*x**3 + 3*x**3 - 2*x**3)*(-4*x + 4*x - 2*x)*(2 + 8 - 1) in the form c*x + z*x**3 + o*x**2 + a*x**4 + f and give a. -432 Express (-3 + 1 + 1)*(10*m**2 - 4*m**2 - 9*m**2) + (-4*m - m + 2*m)*(0*m - 2*m + 0*m) + (-5*m + m + 2*m)*(m + 2*m - 2*m + 6) as o*m**2 + l*m + t and give l. -12 Rearrange -24*m**3 - 2 + m + 191*m**4 - 89*m**4 - 99*m**4 to the form s + t*m**3 + r*m**2 + z*m**4 + q*m and give z. 3
Let l = -0.5 + 0.49995. Round l to 4 dps. -0.0001 Suppose 17*x + 1088000 = x. What is x rounded to the nearest ten thousand? -70000 Let p be (2 + -2)/(0 + 1). Let v be p/((-3)/1) - 12400000. What is v rounded to the nearest 1000000? -12000000 Let l = 8 + -8.04. Let q = -0.16 + l. Let m = -0.124 - q. What is m rounded to 2 decimal places? 0.08 Suppose m = 3*u + 758813 + 1014182, 4*u = 4*m - 2363980. What is u rounded to the nearest one hundred thousand? -600000 Let m(n) = 371426*n + 18. Let c be m(7). Round c to the nearest one hundred thousand. 2600000 Let t = 0.167 + -0.166879. Round t to 5 decimal places. 0.00012 Suppose 5*l = -25, 5*i = -4*l + l - 50. Let g = 7 + i. Suppose -a = -v - 5*a - 509984, -v + 2*a - 510008 = g. What is v rounded to the nearest 100000? -500000 Let z = -12.5 - -12. Let p = z - -0.49999947. What is p rounded to 7 dps? -0.0000005 Suppose -3*y + 4874 - 29429 = 0. Let l = 16185 + y. Round l to the nearest 1000. 8000 Let z be 42420004/(-14) - 11/(308/(-8)). Round z to the nearest one million. -3000000 Let k = -3 - -2. Let u = k - -1.5. Let m = -0.4999986 + u. What is m rounded to 6 decimal places? 0.000001 Let n(g) be the third derivative of -380501*g**4/24 - g**3/3 - 2*g**2. Let f be n(-5). Let c = f + -6202503. What is c rounded to the nearest one million? -4000000 Let c be (750/(-7))/((-13)/(-2730)). What is c rounded to the nearest one thousand? -23000 Let u = -7756.74 - -7756.3400024. Let c = u - -0.4. What is c rounded to six dps? 0.000002 Suppose -4 = -x + 6. Let j(r) = 6*r**2 - 9*r. Let z be j(x). Round z to the nearest 100. 500 Let x = 0.22 - 2.02. Let c = -359204 + 359202.20089. Let y = x - c. What is y rounded to four decimal places? -0.0009 Let i = 1.72 + -1.71858. Round i to 4 decimal places. 0.0014 Suppose 7*a - 21 = -0*a. Suppose a*s = -3*s + 41400. What is s rounded to the nearest one thousand? 7000 Let d = -0.1814 - 10.5486. Let n = -11.2 - d. What is n rounded to one dp? -0.5 Let v = 0.2 + -0.31. Let m = v + 13.11. Let a = m + -12.999882. What is a rounded to five decimal places? 0.00012 Let s = 182 + -181.9999889. What is s rounded to six decimal places? 0.000011 Let o = 35.2952 + -34.3. Let s = 19 - 18. Let g = s - o. What is g rounded to three decimal places? 0.005 Let r = 0.3207 - -6.7453. Let k = 7 - r. Round k to 2 dps. -0.07 Let f = 91340 - 133540. Round f to the nearest one thousand. -42000 Let z(c) = c - 30. Suppose 0 = -2*u + 3*d - 1 + 4, 2*u + 2*d + 2 = 0. Let t be z(u). What is t rounded to the nearest ten? -30 Let v = 6.22 + -6. Let k = v + -0.31. Round k to one decimal place. -0.1 Let x = -0.8 - -2.2. Let n = x + -1.4002. Round n to three dps. 0 Let i = -180.000158 - -180. Round i to five decimal places. -0.00016 Let k = -0.46 - -46.46. Let h = 46.00091 - k. What is h rounded to four decimal places? 0.0009 Let g = 17.8 - 16.83. Let o = 12 + -10.4. Let w = g - o. What is w rounded to one dp? -0.6 Let c = -103694 + 209249. Let n = c + -51543. Suppose 4*k - 5*k = -3, t = 4*k - n. What is t rounded to the nearest ten thousand? -50000 Let q = 4 + -2. Let f = q + -2.00000072. What is f rounded to 7 dps? -0.0000007 Suppose 0 = 6*g - 14*g + 592000. What is g rounded to the nearest 10000? 70000 Let i = 6.6 - 6. Let y = -0.57544 - 0.02504. Let n = i + y. Round n to four decimal places. -0.0005 Let z = -45 + 45.00000033. What is z rounded to 7 decimal places? 0.0000003 Let v = -6429076 - -4029078. Let s be v/(-3) - 2/(-3). What is s rounded to the nearest one million? 1000000 Let b(j) = -640638*j - 2 - 1759362*j + 2. Let u be b(-5). What is u rounded to the nearest one million? 12000000 Let m = -13.3 + 14. Let w = m + -0.2. Let y = -1.3 + w. Round y to 1 decimal place. -0.8 Let m(g) = 7009*g - 19. Let r be m(-9). What is r rounded to the nearest 10000? -60000 Let a = -3820 + -160. What is a rounded to the nearest one thousand? -4000 Let t(c) = 15*c**3 + c**2 + 12*c - 2. Let v be t(-9). Let y = 809036 - v. What is y rounded to the nearest 100000? 800000 Let f = 69 - 69.0000047. What is f rounded to six dps? -0.000005 Let k = -13 + 21. Let n = k + -8.056. What is n rounded to two decimal places? -0.06 Let z be 1 + (0 - -2) + -1. Suppose 2*c + 2 = 10. Suppose c*v - z*m = -12800004, -2*m = -0*v + 2*v + 6399996. What is v rounded to the nearest 1000000? -3000000 Suppose 40*b + 800000 = 42*b. Round b to the nearest one hundred thousand. 400000 Let o = 0.493 - 0.306. Let y = 0.18569 - o. Round y to 4 decimal places. -0.0013 Let u be 0/(-1*(0 + 2)). Suppose u = 4*d + k - 23, -d + 0*d - 18 = 5*k. Suppose 2*x + 8795 = -f, -6*f + 13195 = -3*x - d*f. Round x to the nearest one thousand. -4000 Let f = -6 - -22. Let c = -16.16 + f. What is c rounded to 2 dps? -0.16 Let h(f) = -f**2 + 6*f + 1. Let m be h(6). Let q = m - -11. Let d be 530/(-3)*q*500. Round d to the nearest one hundred thousand. -1100000 Let m = -38.00000046 - -38. What is m rounded to seven decimal places? -0.0000005 Let c = 3.31830178 - 0.3183013. Let p = 3 - c. Round p to seven decimal places. -0.0000005 Let g = 0 + 0.5. Let z = 0.2 + g. Let x = 0.69948 - z. What is x rounded to 4 decimal places? -0.0005 Let h = 1.689927 - 1.69. What is h rounded to 4 decimal places? -0.0001 Let o(g) = g**3 - 19*g**2 - 15*g + 23. Let r be o(17). Round r to the nearest 100. -800 Let b = -2.41 + -0.09. Let z = 1.9 + b. Round z to zero dps. -1 Let v = 0.9542 + -0.96. Round v to three decimal places. -0.006 Let r = 15205 - 195205. Round r to the nearest 100000. -200000 Let q = -25426235 + 25426418.99883. Let u = -0.416 + -183.584. Let a = u + q. Round a to four dps. -0.0012 Let s = 1.04 - 0.04. Let k = 0.7 - s. Round k to 0 dps. 0 Suppose -2*z + 6*z - 8 = 0. Suppose -z*o + 54 = -346. Round o to the nearest 100. 200 Suppose -2*i = -6, i - 6 = -b + 7. Suppose q - 3*q - b = 0. Let c(y) = 6*y**3 + 2*y**2 + 3*y - 5. Let s be c(q). What is s rounded to the nearest one hundred? -700 Let b = -0.067 - -15.267. Let o = -15.87 + b. What is o rounded to 1 dp? -0.7 Let l = 112 - 112.000196. Round l to 5 dps. -0.0002 Let o = 839839 + 1806943. Let h = 3726782 - o. Round h to the nearest 100000. 1100000 Let q = 3.953 + -4. Let o = q - -21.047. Let s = o - 20.999935. Round s to five decimal places. 0.00007 Suppose 2*b - q - 5980491 = -2*b, 5*b + 4*q = 7475598. Let k = -3388415 + b. Let g = k - -3273293. Round g to the nearest 100000. 1400000 Let m(r) = 460*r**3 + 1. Let t be m(1). Suppose 3*f + 2344 = -h, -2*f + 4*h + 3909 = -7*f. Let x = t + f. Round x to the nearest 100. -300 Let x = 1.7 - 1.70000202. What is x rounded to six decimal places? -0.000002 Let q = -8 - -5. Let y = -3.044 - q. Round y to two dps. -0.04 Let y = -0.21 + 0.162. Round y to 2 decimal places. -0.05 Let u(z) = -38 + 14 + 29*z + 27*z**3 - 21*z**2 - 3*z. Let m be u(17). What is m rounded to the nearest 10000? 130000 Let j = 130.99947 + -131. Round j to four dps. -0.0005 Let l = 22.2 + -22.1999762. What is l rounded to six decimal places? 0.000024 Let f = 27 - 22.8. Let l = 1 + f. Round l to the nearest integer. 5 Let y be (25/(-10))/(2/(-7680000)). What is y rounded to the nearest one million? 10000000 Let x = -12 - -16. Suppose u + 2*y = 5*y - 769997, -x*u = -y + 3079999. What is u rounded to the nearest 100000? -800000 Let k = -0.2499991 - -0.25. Round k to 7 dps. 0.0000009 Suppose -2*t - 40 = -2*u, 4*t + 92 = 3*u + 17. Let c = 21 + t. Let h(b) = 27*b + 8. Let o be h(c). What is o rounded to the nearest one hundred? 200 Let a = 2.204 - 2.2. What is a rounded to three decimal places? 0.004 Let w be 4 + -1 + -1 + 3. Suppose -3*x + 2010005 = w*n, 5*x + 2*n = -1196392 + 4546394. What is x rounded to the nearest one hundred thousand? 700000 Let w = 94.999448 + -95. What is w rounded to four dps? -0.0006 Let l be 1/(-4) - (-63)/12. Let w = -15810030 + 45810045. Suppose 0 = l*b - 3*h - w, -b + h = 2*h - 5999995. Round b to the nearest 1000000. 6000000 Let q = 4 + -7. Let w = 12702 + -12699.0012. Let n = w + q. Round n to three dps. -0.001 Let d = 178.11 + -179. What is d rounded to one dp? -0.9 Let l(j) = -13250*j - 3. Let k(g) = -66250*g - 14. Let a(s) = -3*k(s) + 14*l(s). Let i be a(4). What is i rounded to the nearest 10000? 50000 Let y = 142681.81483 - 142681. Let s = y + -1.114774. Let f = s - -0.3. What is f rounded to 5 dps? 0.00006 Let l = 314359.143 + -314359.787402356. Let d = 0.044402016 + l. Let c = -0.6 - d. Round c to 7 decimal places. 0.0000003 Let k = -18.07 - -18. Let w = 0.061 + k. Round w to 2 decimal places. -0.01
Four letters picked without replacement from oggorngninngoy. Give prob of sequence nion. 3/2002 Three letters picked without replacement from xqjkmji. What is prob of sequence xjm? 1/105 Four letters picked without replacement from rrurrrurrxruxruurrrr. Give prob of sequence rxrr. 143/4845 What is prob of sequence fd when two letters picked without replacement from {f: 2, d: 2}? 1/3 Two letters picked without replacement from jwj. Give prob of sequence wj. 1/3 Calculate prob of sequence kke when three letters picked without replacement from {e: 1, q: 1, j: 3, k: 2, d: 3}. 1/360 Calculate prob of sequence hxw when three letters picked without replacement from {d: 1, w: 2, e: 3, h: 3, x: 1, q: 1}. 1/165 Two letters picked without replacement from {u: 3, i: 1, q: 1, b: 9}. Give prob of sequence qi. 1/182 Three letters picked without replacement from hhvhhvhvvhhhhv. Give prob of sequence vvh. 15/182 Calculate prob of sequence rr when two letters picked without replacement from nnrrnor. 1/7 Four letters picked without replacement from pwdfeeedfedo. What is prob of sequence edfp? 1/495 What is prob of sequence mkm when three letters picked without replacement from {p: 1, m: 2, s: 1, a: 2, k: 1}? 1/105 Two letters picked without replacement from {j: 17, d: 3}. What is prob of sequence jd? 51/380 What is prob of sequence czg when three letters picked without replacement from {g: 3, i: 4, t: 1, z: 4, c: 2}? 1/91 What is prob of sequence lg when two letters picked without replacement from {x: 4, l: 2, t: 3, g: 1}? 1/45 Two letters picked without replacement from {o: 1, h: 7, u: 3, f: 2, v: 3, t: 2}. What is prob of sequence ho? 7/306 What is prob of sequence pqp when three letters picked without replacement from ppppqpppppqp? 3/22 Two letters picked without replacement from bhbbbbhbb. Give prob of sequence bb. 7/12 Calculate prob of sequence uq when two letters picked without replacement from {f: 1, u: 1, p: 4, j: 4, d: 1, q: 1}. 1/132 Four letters picked without replacement from jjnnjpppjppnppnjnp. What is prob of sequence pnpj? 35/1836 Two letters picked without replacement from {f: 2, w: 1}. Give prob of sequence wf. 1/3 What is prob of sequence vtv when three letters picked without replacement from tttvvv? 3/20 Two letters picked without replacement from srfrfssmfrffmfs. What is prob of sequence fs? 4/35 What is prob of sequence yxdk when four letters picked without replacement from {x: 1, d: 1, y: 1, k: 2}? 1/60 Four letters picked without replacement from {u: 1, s: 5, f: 3}. Give prob of sequence fuff. 1/504 What is prob of sequence ymy when three letters picked without replacement from {l: 4, m: 2, c: 1, y: 4}? 4/165 Three letters picked without replacement from {c: 2, h: 3, n: 4, d: 1, u: 4}. What is prob of sequence chd? 1/364 Calculate prob of sequence lh when two letters picked without replacement from {o: 1, r: 1, s: 1, l: 1, h: 1}. 1/20 Three letters picked without replacement from gllgxglcgcglx. What is prob of sequence gcg? 10/429 Two letters picked without replacement from xcxchhccccccxhxc. What is prob of sequence cc? 3/10 Two letters picked without replacement from {a: 7, j: 1, i: 5, p: 3}. What is prob of sequence ai? 7/48 Two letters picked without replacement from bihbb. Give prob of sequence ib. 3/20 Four letters picked without replacement from szlzlelzlssqls. What is prob of sequence szez? 1/1001 Two letters picked without replacement from {z: 2, a: 3, h: 7}. What is prob of sequence hz? 7/66 Four letters picked without replacement from {a: 3, l: 3, h: 3, j: 1}. What is prob of sequence ajhh? 1/280 Calculate prob of sequence it when two letters picked without replacement from tliiitb. 1/7 Two letters picked without replacement from {a: 17, h: 1}. What is prob of sequence ah? 1/18 Calculate prob of sequence ff when two letters picked without replacement from {m: 5, f: 8}. 14/39 What is prob of sequence pvg when three letters picked without replacement from wpvbbwpgwvwwbwkvgw? 1/408 Calculate prob of sequence nmnn when four letters picked without replacement from {u: 1, j: 7, m: 4, n: 6}. 1/153 Calculate prob of sequence otrt when four letters picked without replacement from vvvvvvetreto. 1/5940 What is prob of sequence nk when two letters picked without replacement from {g: 1, l: 3, k: 3, y: 2, n: 9}? 3/34 Two letters picked without replacement from swwwxwpwnp. What is prob of sequence nx? 1/90 Calculate prob of sequence nn when two letters picked without replacement from {f: 1, n: 11}. 5/6 Four letters picked without replacement from {n: 2, w: 4, i: 1}. What is prob of sequence nnww? 1/35 Two letters picked without replacement from {n: 1, b: 1, y: 1}. Give prob of sequence yn. 1/6 Three letters picked without replacement from {n: 15, p: 4}. What is prob of sequence pnn? 140/969 Two letters picked without replacement from {e: 3, m: 7, j: 4, x: 1, f: 1, p: 2}. What is prob of sequence fe? 1/102 What is prob of sequence hbj when three letters picked without replacement from {j: 1, b: 5, x: 3, h: 3}? 1/88 Calculate prob of sequence jm when two letters picked without replacement from nnjvtmvj. 1/28 Three letters picked without replacement from jopnl. What is prob of sequence lpo? 1/60 What is prob of sequence uz when two letters picked without replacement from yzuuuzzzuz? 2/9 Calculate prob of sequence ab when two letters picked without replacement from {l: 6, y: 1, b: 4, a: 3}. 6/91 Three letters picked without replacement from wejwxjwwwjwwvjjwx. What is prob of sequence xev? 1/2040 Two letters picked without replacement from {g: 11, s: 1, d: 2}. What is prob of sequence sd? 1/91 Calculate prob of sequence orxz when four letters picked without replacement from xzolr. 1/120 What is prob of sequence wwu when three letters picked without replacement from {w: 2, z: 1, u: 1, r: 2}? 1/60 Three letters picked without replacement from {i: 1, z: 1, v: 2, j: 1, d: 2, e: 2}. Give prob of sequence jdi. 1/252 Calculate prob of sequence ric when three letters picked without replacement from crcsirsisisrs. 3/286 What is prob of sequence yu when two letters picked without replacement from {q: 2, z: 1, y: 1, i: 1, u: 2, l: 1}? 1/28 What is prob of sequence vee when three letters picked without replacement from veeevveveeeeev? 15/91 Calculate prob of sequence bzz when three letters picked without replacement from zzbbpsz. 2/35 Two letters picked without replacement from vvxxxxvvvxvvvvxxvxx. Give prob of sequence vx. 5/19 Two letters picked without replacement from {j: 2, i: 3, f: 1, e: 4, v: 2, b: 3}. Give prob of sequence vv. 1/105 What is prob of sequence xfwf when four letters picked without replacement from wxwwaffwfxx? 1/110 Two letters picked without replacement from {y: 1, w: 4, u: 2, i: 8}. Give prob of sequence ui. 8/105 Two letters picked without replacement from {s: 2, d: 1, q: 2, o: 5, z: 1, i: 4}. What is prob of sequence qo? 1/21 Three letters picked without replacement from ewfwfewewwwh. What is prob of sequence hwf? 1/110 Two letters picked without replacement from {e: 1, a: 3, d: 5}. What is prob of sequence ad? 5/24 Three letters picked without replacement from {w: 1, j: 3, v: 3, r: 1, e: 2, y: 7}. What is prob of sequence jre? 1/680 Two letters picked without replacement from {u: 3, f: 2, w: 4}. What is prob of sequence fw? 1/9 Three letters picked without replacement from gmxfffmmrofxf. What is prob of sequence xof? 5/858 What is prob of sequence aaa when three letters picked without replacement from aadaaad? 2/7 Four letters picked without replacement from yyefcycylfyafye. Give prob of sequence eyfe. 1/910 Calculate prob of sequence qaqq when four letters picked without replacement from qqaaaqqqqqqq. 7/55 Calculate prob of sequence zql when three letters picked without replacement from lzqqzaz. 1/35 Two letters picked without replacement from qqqqjjtqjqqjtgqqtp. What is prob of sequence tg? 1/102 What is prob of sequence aii when three letters picked without replacement from {i: 2, h: 1, y: 1, a: 2, w: 2, g: 1}? 1/126 Calculate prob of sequence ueuu when four letters picked without replacement from dusefududddffuf. 1/1365 Calculate prob of sequence kkrk when four letters picked without replacement from {c: 2, r: 1, k: 3, v: 4}. 1/840 Two letters picked without replacement from sssssssss. Give prob of sequence ss. 1 What is prob of sequence dc when two letters picked without replacement from cccdccdcdccccd? 20/91
Let h(y) = 224*y**2. Let r(j) = -9*j**2 - 3*j. Let m(i) = 4*i**2 + i. Let a(v) = -3*m(v) - r(v). Determine h(a(s)). 2016*s**4 Let a(w) = -29*w**2. Let y(r) = r + 6. Let f(o) be the third derivative of -o**4/24 - 5*o**3/6 - 7*o**2. Let p(v) = 6*f(v) + 5*y(v). Give a(p(z)). -29*z**2 Let p(k) = -10*k**2. Let f(g) = -351*g. What is f(p(r))? 3510*r**2 Let l(o) = -6 - 2 + 5 + 4 - o. Let i(r) = 18*r - 12. Let s(t) = i(t) + 12*l(t). Let a(h) = -3*h. Calculate a(s(j)). -18*j Let d(r) = r**2. Let g(w) = -44476*w. Give g(d(y)). -44476*y**2 Let b(q) = 2*q**2. Let w(i) = -2 - 1 + 0*i**2 + 2 + i**2. Let y be w(-1). Let d(r) = y*r + r - 26 + 26. Calculate b(d(n)). 2*n**2 Let j(a) = 4 + a - 4. Let f(b) = 2*b. Let x(m) = -3*m**2 + 2*m. Let n(s) = -f(s) + x(s). Calculate n(j(u)). -3*u**2 Let i(g) = -6*g**2 - 3. Let b(c) = -c**2 + 1. Let h(a) = -3*b(a) - i(a). Let f(l) = 8*l**2. Calculate h(f(o)). 576*o**4 Let x(p) = p. Let y(o) = o**2 + 2*o. Let r(n) = 6*x(n) - 3*y(n). Let l = -15 - -18. Let w(d) = d - l*d + 0*d + d. What is r(w(b))? -3*b**2 Let j(g) = 2*g - 51. Let m(y) be the first derivative of -y**3 + 145. Give m(j(f)). -12*f**2 + 612*f - 7803 Let h(m) = 20*m**2 + 1. Let k(a) = 735*a. Give h(k(f)). 10804500*f**2 + 1 Let m(y) = 4*y**2. Let w(l) = -1 - 5*l + 2*l**2 - 1 + 3*l. Let o(a) = -3*a**2 + 5*a + 5. Let v(x) = -2*o(x) - 5*w(x). Give m(v(i)). 64*i**4 Let x(o) = 2*o**2. Suppose 3 = 3*r + 12. Let t be 4 + -1 + 3/r. Let b(l) = l**2 + 2*l**t + 6*l**2. Calculate b(x(w)). 36*w**4 Let s(g) be the second derivative of g**6/120 - 4*g**3 - 24*g. Let y(q) be the second derivative of s(q). Let k(j) = 3*j. Determine k(y(c)). 9*c**2 Let w(a) = -a**2. Let b(s) = -9544867*s**2. What is w(b(d))? -91104486047689*d**4 Let x = -17 + 20. Let y(a) = -13*a**2 + x*a - 3*a - 24*a**2. Let n(s) = 2*s. Calculate n(y(t)). -74*t**2 Let y(x) = 64*x - 3. Let b(l) = -314*l**2. Give y(b(v)). -20096*v**2 - 3 Let x(f) be the second derivative of 5*f**3/6 - 107*f - 2. Let g(v) = 24*v**2. Give x(g(h)). 120*h**2 Let d(t) = 5*t**2 - t**2 - t**2. Let f(l) = -140*l**2 - 55*l - 110. Let u(j) = -10*j**2 - 4*j - 8. Let o(h) = 4*f(h) - 55*u(h). Calculate o(d(m)). -90*m**4 Let s(i) be the third derivative of i**4/12 + 8*i**2 + 27*i. Let r(q) = -542*q**2. Calculate r(s(o)). -2168*o**2 Let l be (-3 + 3)*(-4 - -3). Let g(c) = 4*c + 0 + l. Let k(h) = -3*h. Give k(g(n)). -12*n Let s(b) = 17*b + 14*b - 28*b. Let n(r) = 3. Let q(x) = -x**2 - 7. Let z(m) = -7*n(m) - 3*q(m). Give z(s(p)). 27*p**2 Let i(r) = 1496632*r. Let k(y) = -2*y**2. What is i(k(w))? -2993264*w**2 Let c(g) = -3*g**2 - 4*g. Let z(m) = -m**2 - m. Let b(y) = -c(y) + 4*z(y). Let r be (4/6)/(4/18). Let p(s) = -r*s - 3*s + 2*s. Calculate p(b(a)). 4*a**2 Let b = -13 + 15. Let s(m) = -12 + b*m + 12. Let d(q) = q. Let c(j) = 4*j. Let w(i) = 3*c(i) - 8*d(i). Calculate w(s(f)). 8*f Let s(i) = 20*i. Let q(o) be the third derivative of 13*o**4/24 + 189*o**2. Calculate s(q(m)). 260*m Let i(w) be the third derivative of w**5/15 - 376*w**2. Let b(o) = -54*o**2. Determine i(b(t)). 11664*t**4 Let k = 56/129 + -3/172. Let n(f) be the third derivative of 0*f**3 - k*f**4 + 0*f + 0 - 4*f**2. Let d(b) = -b**2. Determine d(n(t)). -100*t**2 Let m(v) = -v - 1. Let t(i) = 1. Let n(l) = -2. Let a(p) = 3*n(p) + 3*t(p). Let y(d) = -a(d) + 3*m(d). Let f(w) = -3*w**2. Determine f(y(x)). -27*x**2 Let m(c) be the first derivative of -33*c**2 - 2*c - 187. Let q(p) = -2*p**2. Calculate m(q(a)). 132*a**2 - 2 Let s(i) = -512*i**2 + 1. Let p(v) = 3*v. Determine p(s(w)). -1536*w**2 + 3 Let s(i) be the third derivative of -i**8/6720 + 7*i**5/30 - 5*i**2. Let a(u) be the third derivative of s(u). Let r(d) = -4*d. Calculate a(r(g)). -48*g**2 Let l(v) = 2*v. Let a(s) = -5*s + 30405. Determine a(l(r)). -10*r + 30405 Let x(w) = 619*w - 4. Let p(k) = -7*k**2 + 1. Determine p(x(r)). -2682127*r**2 + 34664*r - 111 Let k(f) = -159594*f**2. Let q(y) = -3*y. Give q(k(g)). 478782*g**2 Let u(v) = -2*v**2. Let r(z) = -37*z**2 + 29*z. Determine r(u(p)). -148*p**4 - 58*p**2 Let w(s) = 448*s. Let x(u) = u**2 - 38*u. Determine w(x(t)). 448*t**2 - 17024*t Let q(l) = 2*l - 2*l - 2*l. Let w(s) be the third derivative of 1/24*s**4 + 0*s**3 + 0 - 11*s**2 + 0*s. Determine w(q(d)). -2*d Let d(n) = 7*n - 3*n - 13 + 22 - 9. Let k(s) = -13*s. Calculate k(d(b)). -52*b Let j(o) = 116447*o. Let i(g) = -g**2. Determine j(i(c)). -116447*c**2 Let j(f) = 88*f. Let b(d) = -5*d**2 - 4. Let v(r) = -4*r**2 - 3. Let z(g) = 3*b(g) - 4*v(g). Determine z(j(w)). 7744*w**2 Let j(l) = 289*l. Let v(g) = -g**2 + 37*g. What is j(v(h))? -289*h**2 + 10693*h Let n(q) = q + 3*q - 2*q + 4*q. Let z(p) = p**3 - 3*p**2 - 4*p + 2. Let k be z(4). Let v(l) = 0*l + l + 3*l - k*l. What is v(n(t))? 12*t Suppose -70 = 3*z + 2*z. Let v = -12 - z. Let q(t) = 17*t**2 - t**v - 3*t**2. Let g(i) = -2*i. What is q(g(p))? 52*p**2 Let v(l) = 3*l. Let w(a) = -4 - 3 - a**2 + 51*a - 51*a - 5. Calculate v(w(d)). -3*d**2 - 36 Let c(g) = 1104*g**2. Let y(w) = 3*w + 14. Determine y(c(q)). 3312*q**2 + 14 Let l(m) = 2*m**2 + 4*m + 4. Let z(s) = s**2 - s - 1. Let i(y) = -l(y) - 4*z(y). Let t(q) = 64 - 169 + 105 - 8*q**2. Calculate i(t(o)). -384*o**4 Suppose -p - 3*m + 13 = 0, p - 3 = 2*m - 3*m. Let i(c) = -c - 2. Let d(t) = -3*t - 5. Let j(b) = p*d(b) + 5*i(b). Let v(w) = w - w + w + 0. What is v(j(g))? g Let v(j) = 778*j. Let z(y) = -10*y. Give z(v(o)). -7780*o Let z(p) = -14*p**2 + 11*p**2 - 2*p**2 + 3*p**2. Suppose 3*v - 9 = -l, 0 = v - 2*l + 2 + 2. Let d(t) = -4*t**2 + 3*t**v - 2*t**2. Determine d(z(b)). -12*b**4 Let d(u) = -9*u. Let p(z) be the first derivative of 11*z**2/2 - 249. Calculate p(d(h)). -99*h Let q(o) = -548843*o. Let a(t) = 2*t. Determine q(a(r)). -1097686*r Suppose -8*m = -3*m - f - 14, 0 = -4*m - 3*f - 4. Let y(a) = 9*a**2 + a**m - 9*a**2. Let t(x) be the third derivative of x**5/12 - 3*x**2. Determine y(t(b)). 25*b**4 Let s(j) = 2*j**2. Suppose -9 = -4*d - 1. Let m(r) = 3*r**d - r**2 + 4*r**2 - 3*r**2. Give m(s(u)). 12*u**4 Let s(g) = -87*g. Let h(m) = 6*m**2 - 2*m**2 - 126 + 126. Determine h(s(c)). 30276*c**2 Let f(h) = -2*h**2. Let y(o) = -519*o**2 - 2. What is f(y(c))? -538722*c**4 - 4152*c**2 - 8 Let x(w) = -21*w - 2. Let r(l) be the second derivative of -7*l + 0*l**2 - 1/6*l**3 - 2. Determine x(r(z)). 21*z - 2 Let i(u) be the second derivative of -u**6/120 - 2*u**3/3 - 7*u. Let s(t) be the second derivative of i(t). Let o(x) = -7*x. Determine s(o(r)). -147*r**2 Let d(i) = -4*i**2 - 21. Let z(h) = -2463*h. Determine d(z(a)). -24265476*a**2 - 21 Let m(a) = -199*a + 1. Let o(s) = 72*s - 13. Let c(h) = 33*h - 6. Let b(u) = -13*c(u) + 6*o(u). What is b(m(x))? -597*x + 3 Let f(l) = 4*l. Let y(u) be the second derivative of u**3/3 - 31*u**2 - 39*u. Calculate f(y(s)). 8*s - 248 Let l(c) = -20*c. Let d(n) = 25*n + 15. Determine l(d(p)). -500*p - 300 Let o(w) = 3*w. Let f(m) = -m**2 + 5*m + 5. Let j(g) = 0 + g**2 + 8*g - 2*g**2 + 8. Let a = 239 + -231. Let s(n) = a*f(n) - 5*j(n). What is o(s(k))? -9*k**2 Let v(q) = 6*q. Let y(g) be the first derivative of -14*g**3/3 + 46. Give y(v(f)). -504*f**2 Let o(c) = 40 + 42 + 46 - 128 - 2*c. Let i(s) = 135*s. What is o(i(p))? -270*p Let c(k) = -10*k**2. Suppose -3*u = 3*d - d + 5, 0 = 3*d + 4*u + 6. Let w(y) be the first derivative of 1/2*y**d + 0*y - 3. Give c(w(r)). -10*r**2 Let h(v) = -161*v + 83*v + 81*v. Let d(x) = -5*x + 6. Let n(j) be the second derivative of j**3/6 - j**2/2 + j. Let i(g) = d(g) + 6*n(g). What is h(i(b))? 3*b Let d(q) = q**2. Let c(g) = g**2 - 20*g + 17. Let t be c(19). Let k(v) = -v - 5 + 3 + 3. Let j(w) = -1. Let a(f) = t*j(f) - 2*k(f). What is a(d(l))? 2*l**2 Let k(h) = -5*h. Let w(x) = -2021*x. Calculate k(w(z)). 10105*z Let c(s) = 403*s + 12. Let u(o) = 29011*o + 866. Let g(j) = -433*c(j) + 6*u(j). Let r(v) = -2*v**2. Calculate r(g(d)). -374978*d**2 Let c(p) = -2*p - 4*p + 4*p. Let n(u) = -17*u - 14. Let s(m) = -5*m - 4. Let o(l) = -2*n(l) + 7*s(l). Give c(o(z)). 2*z Let r(h) = h**2. Let f(d) = -12*d**2 - 14*d - 14. Let j = -2 - 3. Let t(a) = -405*a**2 + 205*a**2 - 1 - a + 199*a**2. Let n(m) = j*f(m) + 70*t(m). Give r(n(w)). 100*w**4 Let o(j) = -2*j**2. Let h(p) = -50*p**2 - 5. Suppose 3*q + 0*u = u - 17, 2*u = 2*q + 14. Let s(c) = 25*c**2 + 2. Let m(b) = q*s(b) - 2*h(b). What is m(o(t))? -100*t**4 Let g(q) = 10*q. Let o(k) = 5720*k**2 + 3*k - 2. Calculate g(o(j)). 57200*j**2 + 30*j - 20 Let z(b) = -16*b. Let s(n) = -2*n + 891. Give z(s(q)). 32*q - 14256
What is the second derivative of 124341852*k**2 - 14302589*k - 2? 248683704 Find the third derivative of 93*u**6 - 11323*u**4 + 7*u**3 + 690458819*u**2 wrt u. 11160*u**3 - 271752*u + 42 What is the derivative of -511103217*a**2 - 2*a + 645540350? -1022206434*a - 2 Find the first derivative of 386256*z + 7080070 wrt z. 386256 What is the second derivative of -2526038*j**4 + 657566*j - 6? -30312456*j**2 Find the first derivative of 324*p**2*r - 36562*p**2 + 100*r + 80144 wrt p. 648*p*r - 73124*p Find the second derivative of 894333880*b**5 - 357656*b - 25. 17886677600*b**3 Find the second derivative of 5296067*r**2 + 7132178*r. 10592134 Differentiate 116320610*a**3 + a - 34441875. 348961830*a**2 + 1 Find the second derivative of 8936950*g**2 + 21462*g - 168. 17873900 Find the third derivative of 415993010*v**4 - 9*v**2 + 5485*v - 70 wrt v. 9983832240*v What is the third derivative of 27434923*t**4 - 2*t**3 - 88*t**2 + 92797*t - 1? 658438152*t - 12 What is the first derivative of -2*s**3 + 14*s**2 - 236559*s - 34609945 wrt s? -6*s**2 + 28*s - 236559 Find the second derivative of -476*t**4 - 130039*t**2 + 207*t - 1342414 wrt t. -5712*t**2 - 260078 What is the first derivative of 163484799*b**2*w - 614738*b**2 + 103 wrt w? 163484799*b**2 What is the third derivative of 8335*n**2*t**3 - 5*n**2*t + 11*n**2 + 2*n*t**2 + 956*n*t + 49*n + 47526*t**5 - t**2 wrt t? 50010*n**2 + 2851560*t**2 Find the second derivative of 10533003*g**3 - 7154*g + 1267. 63198018*g What is the second derivative of 3*w**3 + 4836773*w**2 - 200994672*w wrt w? 18*w + 9673546 What is the second derivative of 463376716*c**3 + 490771847*c wrt c? 2780260296*c What is the third derivative of -6305377*p**4 + 2013012*p**2? -151329048*p What is the second derivative of -577*k**2*y**2 - 2920*k**2 - 4*k*y**2 + 4011*k*y + 9*k + 3*y - 1 wrt k? -1154*y**2 - 5840 Find the first derivative of 3924791*h*j**2 + 11494724*j**2 wrt h. 3924791*j**2 What is the third derivative of -59325708*f**5 - 66*f**2 + 35524 wrt f? -3559542480*f**2 What is the first derivative of -3*s**4 - 37574*s**2 - 5*s + 25672769 wrt s? -12*s**3 - 75148*s - 5 What is the first derivative of -2*o**4 + 93191058*o**3 - 63857346? -8*o**3 + 279573174*o**2 What is the third derivative of -758335985*w**3 + 43*w**2 - 1296123*w wrt w? -4550015910 Find the second derivative of 10040616*b**2 + 3915401*b. 20081232 What is the second derivative of -9214624*c**2 + 1612*c - 4 wrt c? -18429248 Find the second derivative of 13497008*o**4 - 35155648*o wrt o. 161964096*o**2 What is the second derivative of 2*n**3*q + 9*n**3 - n**2*q - 7158*n**2 - 4*n*q + 35*n - q - 387 wrt n? 12*n*q + 54*n - 2*q - 14316 What is the third derivative of -80261711*f**3*r**3 - 32*f**2*r**3 - 5340*f**2*r**2 + 14*f*r**2 wrt f? -481570266*r**3 What is the third derivative of -119494831*b**5 + 66539097*b**2? -7169689860*b**2 What is the third derivative of 66810*d**6 - 683*d**4*s**2 + 2*d**2*s**2 + 125*d**2*s - 6*d*s**2 - 2*d*s + s**2 + 2928*s wrt d? 8017200*d**3 - 16392*d*s**2 Find the first derivative of 173626*z**3 + 81*z**2 - 176876947. 520878*z**2 + 162*z What is the third derivative of 5599038*y**5 - 497*y**2 + 15*y - 47? 335942280*y**2 What is the third derivative of 4215216*d**3*m + d**3 - 15*d**2*m - 38095*m wrt d? 25291296*m + 6 What is the second derivative of -708*j**4 + 458614*j**3 + 35339150*j - 2 wrt j? -8496*j**2 + 2751684*j Find the second derivative of h**2*n**2 - 15730*h**2 - h*n**2 - 6*h - 4170549*n**2 - 2*n wrt n. 2*h**2 - 2*h - 8341098 What is the derivative of -141447*a*f**3*x - 16196076*a*f**3 + 2*a*f**2 - 2*a + f**3*x - 15*f*x wrt x? -141447*a*f**3 + f**3 - 15*f What is the first derivative of -57803*r**3 - 28*r**2 + 2*r + 14940976? -173409*r**2 - 56*r + 2 Find the second derivative of -71086512*b**3 + 10981316*b wrt b. -426519072*b What is the third derivative of -406344*b*j**3 - 6299876*b*j**2 - 6*j**6 wrt j? -2438064*b - 720*j**3 Differentiate 1670661*a*d**2 - 4092786*a*d*u - d**2*u - 2*d**2 + 18*d + 32*u with respect to u. -4092786*a*d - d**2 + 32 Find the second derivative of 125205*c**3*r + 37*c**3 + 6*c**2*r**2 + 82*c*r**2 - 179992*c*r - 2*r**2 wrt c. 751230*c*r + 222*c + 12*r**2 What is the third derivative of -b**6*c - 42083245*b**4*c + b**2*c - 78*b + 75395*c + 1 wrt b? -120*b**3*c - 1009997880*b*c Differentiate -r**4 - 191*r**3 + 26*r**2 + 58*r + 81010882 wrt r. -4*r**3 - 573*r**2 + 52*r + 58 Find the third derivative of -55*a**2*c*o - 5291250*a**2*o**3 - 3080*a**2*o - 27*a*c*o**2 - c*o**3 wrt o. -31747500*a**2 - 6*c Find the third derivative of -2*g**5 + 12963235*g**4 - 36320240*g**2 wrt g. -120*g**2 + 311117640*g Differentiate 721424*g**2*h**3 + 9*g**2 - g*h**3 + 134213*h**3 - 55*h with respect to g. 1442848*g*h**3 + 18*g - h**3 Differentiate 14933549*j*s + 116766725*s wrt j. 14933549*s What is the first derivative of -611465049*a + 160458888 wrt a? -611465049 What is the second derivative of -18841379*l**3*t**2 - 10*l**3 - 17266*l**2*t - 5*l*t**2 + 3*l*t - 3*l wrt t? -37682758*l**3 - 10*l Find the second derivative of 4901*d**2*n - 380*d**2 - 7254*d*n + 48*d - 1 wrt d. 9802*n - 760 What is the second derivative of -66*d**5 + 946*d**4 - 13*d**2 - 1864569*d? -1320*d**3 + 11352*d**2 - 26 Find the second derivative of -u**5 + 420*u**3 - 62289*u**2 - 289584866*u. -20*u**3 + 2520*u - 124578 Find the third derivative of 3449*m*n**3*t**2 + 2*m*n**2*t + 297775*m*n**2 + 34*n**3*t**3 - n**2*t**3 - 3*n**2*t wrt n. 20694*m*t**2 + 204*t**3 Find the second derivative of 113580779*t*u**4 + 4013*t*u + 22*t - 10 wrt u. 1362969348*t*u**2 What is the third derivative of -845524*i**3 - 4076163*i**2 - i? -5073144 Differentiate -4475216*a**2*w**2 + 1200791*w**2 with respect to a. -8950432*a*w**2 What is the derivative of -59572321*p - 879098494 wrt p? -59572321 Find the second derivative of -13147*s**5 + 3*s**4 - 183*s**2 - 38761234*s wrt s. -262940*s**3 + 36*s**2 - 366 Find the second derivative of -15359062*q**5*s - 2*q**3*s**3 + 17068825*q*s**3 wrt q. -307181240*q**3*s - 12*q*s**3 Find the first derivative of 1874792*r**3 - r**2 - 4*r + 57460286 wrt r. 5624376*r**2 - 2*r - 4 What is the second derivative of 14079777*g**2 + 20713*g + 68? 28159554 What is the third derivative of -4*g**3*n**2 + 152971699*g**3 + 9781715*g**2 - 32*g*n**2 wrt g? -24*n**2 + 917830194 What is the third derivative of -988*h**2*y**3 - 23*h**2*y - h*v**2*y + 2248*v**2*y**3 + 2228*v*y**2 wrt y? -5928*h**2 + 13488*v**2 Find the third derivative of 36284223*c**4 + 71464009*c**2 wrt c. 870821352*c What is the first derivative of -53586715*g**4 + 120070449? -214346860*g**3 Find the third derivative of 140198014*o*u**3 + 2*o*u**2 + 20*o*u - 141*o - 2*u**2 + u - 429 wrt u. 841188084*o What is the derivative of v**3 - 25*v**2 + 232419*v - 75120647? 3*v**2 - 50*v + 232419 What is the second derivative of 4*m**3*p - 4002609*m**3 + m*p - m - 42535 wrt m? 24*m*p - 24015654*m What is the second derivative of 119796949*q**3 - 203213974*q wrt q? 718781694*q Differentiate 16*l**4 + 59937*l - 33129386 with respect to l. 64*l**3 + 59937 Differentiate -5878245*i*t**2 + 4*i + 2557*t**2 + 4*t + 16 with respect to i. -5878245*t**2 + 4 Differentiate -7*d*z + 12338246*d - 192633487*z with respect to d. -7*z + 12338246 What is the second derivative of -542667346*t**5 + 454891616*t? -10853346920*t**3 What is the third derivative of 5156937*c**6 - 7944594*c**2 wrt c? 618832440*c**3 What is the third derivative of -2*h**4 - 31395188*h**3 - 13*h**2 - h + 359525? -48*h - 188371128 Find the third derivative of 671055089*l**4 - 2*l**2 + 3650058*l - 9. 16105322136*l Find the second derivative of 2*r**5 - 17410411*r**4*x**2 + 2*r*x**2 + r*x + 152*r - 7*x**2 + 517*x + 2 wrt r. 40*r**3 - 208924932*r**2*x**2 What is the first derivative of 18182789*g**2*z - 2*g*z - 4760090*z wrt g? 36365578*g*z - 2*z What is the second derivative of 89666449*f*w**2 + 7*f*w + 24*f - 13*w - 138 wrt w? 179332898*f Find the third derivative of -b**4 + 15738060*b**3 - 233881945*b**2. -24*b + 94428360 Find the first derivative of 433578*z**2 - 17*z + 42334344. 867156*z - 17 What is the derivative of 335841*g**2*o**2 + 2*g**2 + o**2 + 32567*o - 8 wrt g? 671682*g*o**2 + 4*g Differentiate 2*b**3*g**2*z - 2248778*b**3*g*z**2 - 3401*b**3*z - 2*b*z**2 - 83*b wrt g. 4*b**3*g*z - 2248778*b**3*z**2 Differentiate -31*j**2 + 10059284*j + 115928802. -62*j + 10059284 What is the second derivative of 5*a**3 + 56841636*a**2 - 1360290103*a? 30*a + 113683272
Sum -18 and 0.144642. -17.855358 What is -91.611 + -0.1? -91.711 Sum -112 and -0.8309. -112.8309 What is -0.5 minus 673? -673.5 What is the difference between -3916 and -0.12? 3915.88 What is -0.006236 - 0.6? -0.606236 Calculate -146 - 0.13. -146.13 Work out -307 - 63. -370 Put together 2 and 3.1. 5.1 What is -16904 take away 0.1? -16904.1 What is 1049 plus 1285? 2334 Calculate 2295 - 0.7. 2294.3 Calculate -0.9797 + 1.96. 0.9803 Total of -0.45 and -27525. -27525.45 What is -0.8 plus 166.31? 165.51 Add together 1 and -784. -783 Work out 1667.7 + 2. 1669.7 Calculate 65 + 0.13009. 65.13009 What is -4 - 0.468? -4.468 What is -135 take away 0.821? -135.821 Work out 0 - -154886. 154886 Put together 0.0079334 and -0.1. -0.0920666 What is -0.33 less than 25.8? 26.13 What is -0.5 minus 44301? -44301.5 9099 - 3 9096 Calculate 0.42 - 473. -472.58 Add together -354.839 and 0.2. -354.639 What is 102 - 10339? -10237 Work out -145.75 - -25. -120.75 Add -3 and -10110. -10113 Subtract 2133 from 0.3. -2132.7 What is -506 + 18.71? -487.29 Sum -9 and 0.466. -8.534 Work out -205.8 + 27. -178.8 Put together 72.13 and 0. 72.13 Subtract -0.08 from -4.03. -3.95 Calculate -0.39534 + 1. 0.60466 What is 0.067 minus 111.9? -111.833 818 + 0.81 818.81 Work out 3.3761 - 40. -36.6239 Subtract 669 from -2. -671 What is -0.1063594 plus -5? -5.1063594 Work out -206089 + -4. -206093 Work out 3101 + 2. 3103 What is the difference between -9 and -127467? 127458 Calculate -5 + 1.4. -3.6 Subtract 41.575 from 4. -37.575 Put together 81.57 and 111. 192.57 What is -4315 take away -4? -4311 Put together -6 and 307.3. 301.3 Subtract 36972 from 14. -36958 Subtract 0.009 from -5. -5.009 What is -0.4 take away 418? -418.4 Sum -49 and 1827. 1778 Work out 3 - 1791. -1788 Calculate -199415 + 0.1. -199414.9 0.2527+-69 -68.7473 Calculate -0.1 - 96. -96.1 What is -0.034 less than -0.048? -0.014 What is -0.3 minus -2998.15? 2997.85 Calculate -0.4 - -2.168. 1.768 Subtract -55.1 from -0.4. 54.7 What is -0.1431 less than -0.9? -0.7569 What is -21.8 + 0.0049? -21.7951 What is the distance between -0.03935 and -5? 4.96065 What is 2.11 + -3.1? -0.99 Work out 16 + -0.2766. 15.7234 Add 415 and 16. 431 Calculate -0.3 - 0.4985. -0.7985 Sum -0.3 and 218. 217.7 Calculate -0.0232 - 0.17. -0.1932 Add -7.525249 and -0.5. -8.025249 Calculate 45905 + 0.1. 45905.1 0.3 - 1.6145 -1.3145 Subtract 137.8 from -6.91. -144.71 What is the difference between -4.6 and -197901? 197896.4 Total of 836 and -0.06. 835.94 45906.1+0.1 45906.2 What is 0.00635 minus 0.02? -0.01365 Subtract 0.4 from -0.015338. -0.415338 What is -0.084 - 10729? -10729.084 Work out -56.8 - -0.494. -56.306 Subtract 591751 from 6. -591745 What is 0.11 + -429? -428.89 Subtract 46 from -0.74. -46.74 What is 0.00046 - 0.1? -0.09954 Calculate -1448 - -0.3. -1447.7 0.052 + -1331 -1330.948 Put together -0.27804 and 0.4. 0.12196 What is 0.14 + -1.1901? -1.0501 Work out 0.079 - 0.01. 0.069 Calculate -2701 - -1. -2700 Sum -49.51 and 10. -39.51 What is -0.0204484 + 0.5? 0.4795516 19 + 37 56 What is -50.77 - 0.1? -50.87 Subtract 2 from 395. 393 Calculate 164 + 10. 174 Work out -10232.71 + 3. -10229.71 Subtract 84539 from 1.4. -84537.6 Add together -8.7 and 17144. 17135.3 Total of -485669 and 0. -485669 What is -3856 minus -2.7? -3853.3 What is -1.93 - 0.2? -2.13 Add together -37187 and -16. -37203 3+3.7729 6.7729 What is -172 minus 28.22? -200.22 Work out 13 + -12.5. 0.5 Put together -242.9 and -0.4. -243.3 Work out -3798 + 5. -3793 Calculate -164.5 - 0. -164.5 62 + 52.7 114.7 0.5+1761 1761.5 Sum 1 and 0.25. 1.25 Calculate 5 - 29189. -29184 What is 1.84 plus -58? -56.16 Work out -608 + 18. -590 What is -0.08 - -3.1798? 3.0998 What is -157.68 plus 11? -146.68 -0.23 + -93 -93.23 -1+-136 -137 -5 - 183134 -183139 Work out -3330 - -16. -3314 What is 0.5 + -5406? -5405.5 What is 19 minus 344.52? -325.52 Add 2 and 17404. 17406 Calculate -0.3 - -5.3635. 5.0635 What is 12812 less than -0.4? -12812.4 Calculate -4 - 1345. -1349 Total of 0.36222 and 0.4. 0.76222 Work out 0.1 - 0.1393. -0.0393 Total of -0.1758 and 394. 393.8242 What is the distance between 4 and 1683439? 1683435 Calculate 54622 - 0.08. 54621.92 Sum 14942 and -25. 14917 Add 394886 and 0.5. 394886.5 What is -553337 minus -0.05? -553336.95 Subtract -407.44 from -0.051. 407.389 Work out 1304645 - -2. 1304647 Work out 0.095 + 0.021. 0.116 What is 0.034 - -365? 365.034 53220 - 3 53217 Add 0.02543575 and 1. 1.02543575 Subtract -0.21 from -143. -142.79 What is -632.18 - 3? -635.18 -0.3 - 0.0603879 -0.3603879 What is -1.66 plus -1662? -1663.66 -0.14595 - 90 -90.14595 1.6 - 1.94 -0.34 What is -10197 less than 379? 10576 Subtract -148.3 from 3.4. 151.7 -0.29 + 62 61.71 Add -0.08 and 95789. 95788.92 Calculate -0.5 + -4328.8. -4329.3 -0.1 - -0.006 -0.094 385+-22754 -22369 What is 0.131 take away 3379? -3378.869 -775 - -0.3 -774.7 What is 2 minus -1199.21? 1201.21 20 - 409.51 -389.51 Work out -314 - 28. -342 Calculate -44384 + 62. -44322 Put together -39 and 1048. 1009 What is -3 take away 50.2? -53.2 What is -67 - -0.74? -66.26 Calculate 0.01057 + 742. 742.01057 What is the distance between -2 and 936989? 936991 2488+-2060 428 Calculate 1 + -54932. -54931 What is -353 minus 0.9? -353.9 Add -111461 and -4. -111465 Put together 125 and 7.27. 132.27 What is the difference between -15.7 and 7.38? 23.08 Total of -2.629 and -911. -913.629 What is the distance between -0.5 and 122.18? 122.68 Sum 1.8031 and 13. 14.8031 Add 3 and -304411. -304408 What is 3 + 223137? 223140 What is -23 - 5290? -5313 What is 13.5 + -553? -539.5 Work out -5604 + -31. -5635 What is -320 + 5? -315 0.2561+-133 -132.7439 What is 3327 take away -3? 3330 Work out 28 + 16626. 16654 What is -10.485 minus -15? 4.515 What is -0.088 minus 4829? -4829.088 What is -0.04456 minus 0.046? -0.09056 Work out 2.8 - -496. 498.8 What is 63205 plus 8.3? 63213.3 -0.07 - 0.04 -0.11 What is 0.287199 take away 1? -0.712801 Calculate -0.1 + -603. -603.1 What is 1979.57 - -0.2? 1979.77 Total of 0.2 and 316715. 316715.2 What is -10 - -280391? 280381 What is -24 - -29140? 29116 What is 0.3 + 9.54373? 9.84373 Work out -40 - -42. 2 What is the distance between -0.5 and -0.3157? 0.1843 What is 0.06397 less than -22? -22.06397 What is the distance between -1278 and -0.7? 1277.3 Calculate -4.082 + 0.5. -3.582 -0.1785 + 0.06 -0.1185 Work out 45.88 + 0.05. 45.93 Calculate 5 + 945. 950 What is -0.76 less than -33063? -33062.24 What is 3.82 less than 337? 333.18 What is the difference between -0.05 and 1293? 1293.05 What is the distance between -0.5 and 1.8271? 2.3271 What is 143569 minus 1? 143568 What is 0.238 plus -0.12577? 0.11223 Calculate 0.18 - 13554.4. -13554.22 Add together -0.035109 and 0.9. 0.864891 What is 14.89 take away 0.147? 14.743 What is the distance between 204 and -0.4? 204.4 What is the distance between 112 and 169? 57 Calculate -0.1 + -3.593. -3.693 What is 32 take away 471? -439 What is 28784 plus 0.4? 28784.4 Add together 367 and 0.65. 367.65 What is -2108 take away 0.086? -2108.086 Add -3064 and 3. -3061 Add -2 and -123290. -123292 6 - -2097 2103 -0.0366+-3205 -3205.0366 Calculate 11 + 7845. 7856 Sum -0.3 and 15486. 15485.7 What is 2646 + -0.1? 2645.9 Subtract 376719 from -14. -376733 What is -187.7 take away 0.5? -188.2 Add 0.013889 and -0.2. -0.186111 Work out 0.05 + 32.29. 32.34 What is 4448 - 0.059? 4447.941 What is the distance between -575.7 and -0.056? 575.644 Put together 0.32 and 189. 189.32 Total of 1.1 and -16523. -16521.9 Calculate 25.18 + 1216. 1241.18 Subtract 1 from 6474.59. 6473.59 Work out 1 + -0.078896. 0.921104 Work out 8 + -17. -9 Sum -0.00229 and 44. 43.99771 Total of -0.11 and -452. -452.11 What is 25 plus 232? 257 Total of 550100 and -2. 550098 Calculate 805 + -14. 791 Put together -0.2 and 639. 638.8 Work out -0.1 + 263589. 263588.9 What is 17 less than -0.50764? -17.50764 Calculate -179 - -1209. 1030 446 + -4.89 441.11 What is 0.3 + -18615? -18614.7 Sum 7876.4 and 4. 7880.4 What is the difference between 46.2 and -26? 72.2 Work out -4 - 0.33. -4.33 Put together -917 and 1.2. -915.8 10 + 1.48 11.48 What is 0.0355 + -0.6? -0.5645 What is -0.0918 less than 2322? 2322.0918 -5 - -0.19343 -4.80657 What is -11.2 plus -0.4? -11.6 Put together -29 and 2031. 2002 -10311 + -5 -10316 Put together -0.04727 and -5. -5.04727 430995+-0.1 430994.9 Add together 23 and 20.23. 43.23 Calculate 25321 - -0.3. 25321.3 Work out -532871 - -1. -532870 What is -18 less than -580? -562 What is 5 less than 0.052445? -4.947555 Work out 4 + 0.678987. 4.678987 What is -726 + 6? -720 What is 54400 take away -29? 54429 Put together -1541925 and 2. -1541923 Sum -1 and -1468. -1469 Work out 5491 - -0.42. 5491.42 Sum 8 and -807. -799 What is -46.41 + 0.2? -46.21 What is 2.43 - 51? -48.57 Total of 2 and 166.6. 168.6 Add -0.481 and -28.6. -29.081
What is the highest common factor of 636 and 3596209? 53 What is the highest common divisor of 856 and 40528604? 428 What is the highest common factor of 1275923259 and 81? 81 What is the greatest common factor of 122 and 29184962? 122 Calculate the highest common divisor of 632 and 112644362. 158 Calculate the highest common divisor of 528 and 6244216. 88 What is the greatest common divisor of 299672808 and 1256? 1256 What is the highest common factor of 383214 and 312? 78 Calculate the greatest common divisor of 74 and 196605161. 37 What is the greatest common factor of 3236868 and 1118? 86 Calculate the greatest common divisor of 666 and 55681892. 74 Calculate the highest common factor of 1410 and 239200014. 282 What is the highest common factor of 16311 and 59457? 3 Calculate the greatest common divisor of 14 and 109677526. 14 Calculate the highest common divisor of 102912266 and 1082. 1082 What is the greatest common divisor of 10464097 and 686? 49 What is the highest common divisor of 223100 and 2330? 10 What is the highest common factor of 276959695 and 3175? 635 Calculate the highest common factor of 49910 and 91126. 322 What is the highest common factor of 10518768 and 18? 18 Calculate the greatest common factor of 114729 and 8517. 501 What is the highest common divisor of 106674 and 356353? 773 Calculate the greatest common factor of 3588 and 44750433. 897 Calculate the greatest common divisor of 8810489 and 1994. 997 Calculate the highest common divisor of 44818838 and 10126. 166 Calculate the highest common factor of 16395735 and 2193495. 8535 Calculate the greatest common divisor of 5075393 and 1789. 1789 What is the greatest common factor of 364 and 65476918? 26 What is the greatest common factor of 588 and 423034836? 588 What is the highest common divisor of 331520 and 151108? 148 What is the highest common factor of 161557 and 223932689? 14687 Calculate the greatest common factor of 20 and 696346940. 20 Calculate the highest common factor of 135278 and 27830. 242 What is the greatest common divisor of 71078840 and 280? 280 Calculate the greatest common divisor of 10184 and 8137820. 268 What is the greatest common factor of 46924828 and 656? 164 What is the highest common divisor of 12440517 and 372? 93 What is the greatest common divisor of 14092 and 3800233? 271 What is the greatest common factor of 1631747 and 37882? 403 What is the highest common divisor of 269991 and 21159? 9 Calculate the greatest common factor of 92418804 and 1511. 1511 What is the highest common factor of 495755 and 1450? 145 What is the highest common divisor of 23040 and 2876928? 1536 Calculate the highest common factor of 1025 and 142999800. 1025 Calculate the greatest common divisor of 180 and 154770840. 180 What is the greatest common factor of 52402 and 72906154? 7486 Calculate the highest common factor of 6660 and 14722596. 1332 Calculate the greatest common factor of 37653679 and 2331. 259 Calculate the highest common divisor of 477437460 and 60. 60 Calculate the highest common divisor of 125001 and 1689993. 171 What is the greatest common factor of 565220 and 22007? 59 Calculate the highest common factor of 2527 and 4711. 7 Calculate the highest common divisor of 887293691 and 301. 43 Calculate the greatest common factor of 3410 and 22778030. 110 What is the greatest common factor of 6674028 and 30425? 1217 What is the greatest common divisor of 109060 and 3918180? 2660 What is the greatest common factor of 201975 and 3675? 75 What is the highest common divisor of 4086 and 332582013? 2043 Calculate the greatest common factor of 56 and 14812328. 8 What is the highest common factor of 80 and 22283920? 80 What is the greatest common factor of 6080438 and 910? 182 What is the greatest common divisor of 36 and 232641? 9 Calculate the highest common factor of 258896 and 1204720. 176 What is the greatest common factor of 101969487 and 173? 173 What is the greatest common factor of 17406318 and 3222? 1074 Calculate the highest common factor of 342 and 63738122. 38 What is the highest common factor of 65757466 and 3296? 206 What is the greatest common factor of 84188 and 1563068? 52 What is the greatest common factor of 893492 and 26132? 556 Calculate the highest common divisor of 1132 and 15209835. 283 What is the greatest common divisor of 33383925 and 120? 15 Calculate the highest common factor of 54649 and 21497. 259 Calculate the highest common factor of 120 and 526371960. 120 Calculate the highest common divisor of 3 and 256873. 1 What is the highest common factor of 94878 and 126639? 9 Calculate the highest common divisor of 3864594 and 9150. 366 What is the greatest common divisor of 7384039 and 2708? 677 Calculate the highest common divisor of 35850 and 26400. 150 Calculate the highest common divisor of 37955714 and 2276. 1138 Calculate the greatest common factor of 130 and 8120710. 130 Calculate the greatest common factor of 4221000 and 4122. 18 What is the greatest common factor of 2799 and 1045271? 311 What is the highest common factor of 119 and 3105781? 119 What is the greatest common factor of 530 and 146686? 2 What is the greatest common divisor of 18291156 and 1924? 52 Calculate the greatest common factor of 34648485 and 53. 53 Calculate the highest common divisor of 174 and 35877698. 58 Calculate the highest common divisor of 33103820 and 27940. 2540 What is the greatest common factor of 116 and 1959724? 4 What is the greatest common divisor of 23465 and 355485? 65 Calculate the greatest common divisor of 2205240 and 20915. 235 Calculate the highest common divisor of 2311570 and 557390. 1390 Calculate the highest common divisor of 893974 and 27466. 886 Calculate the highest common factor of 2585576592 and 1431. 1431 What is the greatest common divisor of 128982 and 678027? 1743 Calculate the greatest common divisor of 483 and 5465971. 7 Calculate the greatest common divisor of 209308 and 2321. 11 What is the highest common divisor of 2220456 and 17514? 42 Calculate the highest common factor of 2625 and 31972185. 105 Calculate the highest common factor of 55198 and 61199528. 5018 What is the highest common divisor of 449508626 and 33782? 1778 What is the highest common divisor of 774037840 and 215? 215 What is the greatest common factor of 1424 and 77290448? 1424 What is the highest common divisor of 66753850 and 186? 62 Calculate the greatest common divisor of 103591363 and 2157. 719 What is the greatest common factor of 468 and 997669608? 156 What is the greatest common factor of 39549181 and 7? 7 What is the highest common divisor of 2022048 and 91616? 224 Calculate the greatest common divisor of 296 and 1106374. 74 What is the greatest common divisor of 30769835 and 95? 95 What is the highest common divisor of 80276432 and 5352? 1784 What is the greatest common factor of 420 and 364021455? 105 Calculate the greatest common divisor of 1906 and 63880543. 953 What is the greatest common divisor of 270000 and 697950? 1350 What is the highest common factor of 268137117 and 18? 9 What is the greatest common factor of 5082 and 17743803? 2541 What is the highest common divisor of 104 and 4830631? 13 Calculate the greatest common divisor of 659786877 and 2862. 1431 What is the highest common factor of 47681012 and 148? 148 What is the greatest common divisor of 8028 and 1225608? 2676 What is the highest common factor of 58110156 and 1728? 108 What is the greatest common divisor of 3283641 and 1710855? 6003 Calculate the greatest common factor of 175345 and 305. 5 What is the greatest common factor of 104021264 and 2056? 2056 Calculate the greatest common divisor of 48833131 and 73. 73 What is the greatest common factor of 2127 and 52020039? 2127 Calculate the greatest common factor of 3 and 295616. 1 Calculate the highest common factor of 61516002 and 36. 6 Calculate the highest common factor of 26179503 and 23331. 2121 Calculate the greatest common factor of 129857 and 34489. 91 Calculate the greatest common factor of 9 and 32880285. 9 What is the greatest common divisor of 312728 and 247988? 52 What is the highest common divisor of 347936 and 2672? 16 What is the greatest common divisor of 20 and 485434750? 10 Calculate the greatest common divisor of 8268 and 259464998. 1378 Calculate the highest common divisor of 582 and 1731102. 6 Calculate the greatest common divisor of 3043 and 537. 179 Calculate the greatest common factor of 14026390 and 385805. 5285 Calculate the greatest common divisor of 8713854 and 91166. 1154
Let m be (6/(-4))/((-2)/(-4)). Let p = 6 - 6. Suppose -3*s + s - 4 = p. Which is the smallest value? (a) 4 (b) m (c) s b Let u be 8 + -5 + -2 + (-14)/12. What is the third smallest value in u, 0.3, -1, 2? 0.3 Let o be (1 - 5)/(315/(-36)). Let j = o - 6/7. Which is the third smallest value? (a) -1/7 (b) -1 (c) j a Let s = -0.6 + 0.4. Let r = -0.088 - 0.342. Let q = r + 0.03. What is the second smallest value in q, -0.5, s? q Let v = -94132/5 + 18757. Let l = -69 - v. What is the third biggest value in l, -1, 0? -1 Let z = -7 - -6.9. What is the third smallest value in -1, z, -2? z Let o = 3 + -8. Let u = 0 + -0.1. Let k = -0.1 + u. Which is the smallest value? (a) -4 (b) o (c) k b Let d = -29 - -28.5. Which is the smallest value? (a) -1 (b) d (c) 3/8 a Let z be (-4)/14 - 44/42. Suppose 2*v = -0*v + 2. Let m be v/35 + (-4)/(-10). What is the third smallest value in m, -0.2, z? m Suppose 2*q - 3 = 1. Suppose z - 2*p + 4 = -p, -q*p = 2*z. Let g be ((z - 0) + 3)/(-2). Which is the second smallest value? (a) 3 (b) 2 (c) g b Let m be 1*(52/(-24) - 0 - -2). Let r = -1 - -4. Let x = r + -2.9. What is the third smallest value in m, x, -3? x Let t be 42/13 - (7 - 4). Let c = -59/26 - t. What is the second smallest value in -4, c, -0.3? c Suppose 2*x - 8 = 8. Let u = 11 - x. Which is the third smallest value? (a) u (b) -4 (c) -1/3 a Let p(i) = -i + 5. Let v be p(0). Suppose 0*q - q + 10 = -4*k, -v*q + 3*k + 16 = 0. Which is the second biggest value? (a) -0.2 (b) q (c) -0.3 a Let x = 0.06 - 0.46. Let k = x - 0.1. What is the biggest value in k, 3, -5/4? 3 Let q = 1.5 - 0.5. Let l = -5 + q. Let m = -4 + 2. Which is the second biggest value? (a) m (b) 0.4 (c) l a Let x(u) = -u**2 - 12*u + 17. Let i be x(-13). What is the biggest value in i, -1, 2/9? i Let u = 68 + -200/3. Let n = 4.3 - 4. Let c = 0.2 + n. What is the smallest value in 1/4, c, u? 1/4 Let k = 8.15 + -0.15. Let t = k + -7.9. Which is the second biggest value? (a) -2/5 (b) -2 (c) t a Let u = 0.38 + -25.28. Let x = u + 26. Which is the smallest value? (a) 1/3 (b) x (c) 4 a Let r = -12.6 - -1.6. Let s = -15 - r. What is the second smallest value in s, 4, 2? 2 Let j = 9 - 15. Let t = -0.2 - 6.1. Let n = t - j. What is the third biggest value in 0, n, -3? -3 Let v be 29/(-30) - -1 - 6/30. Which is the smallest value? (a) 0 (b) v (c) 0.03 (d) -1 d Let f = -20 - -15. What is the second biggest value in f, 2/11, 4? 2/11 Let i be ((-10)/(-4) - (4 + -2))/(-1). What is the smallest value in 2, 3, i? i Suppose -l + 3*l - 4*x = -12, 0 = -5*l - 5*x + 15. Let w be 2/4 - (0 - l). Which is the third smallest value? (a) w (b) -0.1 (c) -1/3 a Let p = 3 - 2. Let w = -34.7 + 32. Let g = 1.3 - w. What is the third smallest value in 2, p, g? g Let x = 1 + 1. Let z = -2.8 + 3. What is the second biggest value in -2, x, z? z Let j = -18 + 17.9. Which is the third smallest value? (a) j (b) 5/3 (c) -2/9 b Let v = 0.44 + -0.04. Let u = v + -0.4. Let z = -11 - -21/2. Which is the smallest value? (a) z (b) u (c) 2/3 a Let g = -0.9 - -1.2. What is the third smallest value in g, -0.3, 0.1? g Let g be 2/9 + 87/(-27). Let k(o) = -2*o - 4. Let c be k(-4). What is the smallest value in 3/2, g, c? g Let a(w) = 2*w**2 - 2*w - 2. Let j be a(-1). Let m = -1.96 + 2. What is the third smallest value in 3, j, m? 3 Let u be (24/40)/(2 - 3). What is the second biggest value in 2, 0.4, u, 3? 2 Let i be (32/18)/((-14)/21). Let t = 46/15 + i. What is the biggest value in -0.1, 1, t? 1 Let a = 0.07 + 0.01. Let u = -3.92 - a. What is the second biggest value in u, 2, -2/9? -2/9 Let j be -4 + ((-12)/48)/(7/(-124)). What is the fourth smallest value in j, 0.4, -0.4, 5? 5 Let y be ((-2)/(-5))/(21/(-15)). Let w = -0.1 - 0.1. What is the second biggest value in y, w, 5? w Let i be -1*(1 + (-10)/12). Let w = -36 - -41.9. Let y = 0.9 - w. What is the third smallest value in i, 0.2, y? 0.2 Let g = 0.85 + 6.35. Let n = g + 1.8. What is the third biggest value in 4, -2/19, n? -2/19 Let x = -5.21 - -0.21. What is the third smallest value in 1/3, x, -1/4? 1/3 Let v = 23 - 44. Let p be 2/(-4) + v/(-6). Which is the second biggest value? (a) 4 (b) -2/7 (c) p c Suppose -4*o = -4, -3*q - 20 = 3*o - 131. Let d be ((-2)/3)/(264/q). Which is the third smallest value? (a) -1/2 (b) 0 (c) d b Let v = 0.15 - -8.85. Let w = -13 + v. Which is the smallest value? (a) w (b) -1 (c) -1/2 a Suppose -o = -2 - 0, -2*o + 4 = -3*d. Let v be 5/3 - (-18)/(-10). Which is the third smallest value? (a) 2/5 (b) d (c) v a Let a = 1754/7 - 251. Let u = -29.5 + 26.5. What is the second smallest value in 0.5, a, u? a Let w = 67 + -70. What is the third biggest value in w, -10, -1? -10 Let w = 11.6 - 12. Let z = -4/11 - 25/22. What is the smallest value in z, w, -3? -3 Let g = 194.98 - 190. Let x = g - -0.02. Which is the second smallest value? (a) 3 (b) x (c) -0.1 a Let v = 0.2 + -0.4. Let d = -3.702 + -0.298. Let n = -6.4 - -6. Which is the biggest value? (a) v (b) n (c) d a Suppose -2*x = -7*x. Let z = 18.68 - 19. Let a = -0.08 + z. What is the third biggest value in a, x, 4? a Let c = 2.13 + -2. Let p = c + 0.27. What is the third biggest value in 4/3, -1, p? -1 Let d be -3*2/48*-2. Let f = -0.31 + 0.01. Which is the biggest value? (a) d (b) f (c) 1/2 c Let v(u) = -3*u**2 - 1. Let d be v(-1). Let l = d + 2. Let q = 41 - 45. Which is the smallest value? (a) l (b) 5 (c) q c Let v = -6 - -9. Let y = 59.1 - 54.24. Let j = -0.14 - y. Which is the biggest value? (a) v (b) -0.5 (c) j a Suppose 5*z = -9 + 19. Suppose -p = -z - 1. What is the third biggest value in 2/11, -0.4, p? -0.4 Let f = 56 - 58. Which is the third smallest value? (a) f (b) -3 (c) -1/5 (d) 0.4 c Let j = -0.54 + 0.14. Let c = 0.1 - j. What is the smallest value in -5, c, 1/9? -5 Let r = -6.88 - 0.12. Let t = -8 - r. Let q = -2.97 - 0.03. Which is the second smallest value? (a) 0.3 (b) t (c) q b Let s = -73 - -69. Which is the fourth smallest value? (a) 0.3 (b) s (c) -2/7 (d) 2 d Let q = -15 + 18. Suppose 2*r + 0 = 4. What is the second biggest value in r, -1, q? r Let g(x) = -x**3 + 5*x**2 - 6*x + 6. Let z be g(4). Let h = 6258/5 - 1274. Let s = h + 23. Which is the biggest value? (a) s (b) z (c) -0.3 a Suppose 17 - 5 = 6*b. Let j be 14/6 - b/6. What is the third smallest value in j, 5, 2/33? 5 Let l = -11 - -12. What is the third smallest value in 5, -1/6, l? 5 Suppose 2*j - z + 4 = -3*z, -j - 2*z = 3. What is the biggest value in j, -2, 3? 3 Let q(j) = -j**3 + 2*j**2 + j + 1. Let o be q(2). Suppose -2 = o*g + 1. Which is the third biggest value? (a) 2 (b) g (c) -0.4 b Let q = -0.07 - -0.03. Let u = q + 6.04. Let w = u - 9. Which is the second biggest value? (a) w (b) 4/5 (c) -0.1 c Let d(i) = i**3 + 2*i**2 - 2*i - 3. Suppose -3*t - 2*j - 2*j - 22 = 0, 4*j + 18 = -t. Let m be d(t). Which is the smallest value? (a) -2 (b) m (c) -3 c Let p = 1.2 - 1.5. Suppose 3 + 3 = -3*i. What is the third biggest value in i, p, -1/4? i Let i = -127/42 - -20/7. What is the second biggest value in 10, 1/6, i? 1/6 Let w = 660 - 357. Let g = -2125/7 + w. Let y = 0.8 - -0.2. What is the biggest value in y, g, 2? 2 Let g = 2.6 - 2.1. Which is the third biggest value? (a) -1 (b) g (c) -0.2 a Let w be 2 - 2 - 6/(-2). Suppose -3*z + 7*z + 4*u = -36, -17 = z + w*u. Let x = 5.59 - 6.59. Which is the biggest value? (a) z (b) x (c) -0.1 c Let j = -19.34 + 20. Let o = -0.99 + j. Let z = o - 0.07. Which is the second smallest value? (a) -4 (b) z (c) 3 b Let p = -0.29 - 1.71. Which is the biggest value? (a) p (b) 2/7 (c) 0.4 c Let f = -16.05 - -0.05. Let h = 14 + f. Which is the third smallest value? (a) h (b) -4 (c) -3/8 c Let y = -1.55 - -1.5. Which is the biggest value? (a) y (b) 5 (c) 4 b Let p be (-10)/30 - (-16)/21. Let x = 3.97 + 0.03. What is the third smallest value in -4, p, x? x Let m = -3.2 + -0.8. What is the second biggest value in m, -2/5, -5? m Let h be 11/66 + (-26)/(-60). Which is the biggest value? (a) h (b) 4 (c) -4 b Suppose -5*l + 4*l = 0. Let q = -1.89 - 0.31. Let u = q - -6.2. What is the third biggest value in u, 1, l? l Suppose -3*x - 11 = 1. Which is the biggest value? (a) 2/3 (b) x (c) 0.1 a Let z = -0.1 - 0.2. Let k = 3 - -1. Suppose w - r - 5 = -1, 12 = 3*w - k*r. Which is the third smallest value? (a) 2/17 (b) z (c) w c Let d = -59 - -179/3. Let k = 10355/17 - 609. What is the third biggest value in -2/13, d, k? -2/13
What is next in -2803, -3433, -5143, -8473, -13963, -22153? -33583 What is next in 452, 1582, 3458, 6068, 9400, 13442? 18182 What comes next: 127644, 511515, 1151610, 2047935, 3200496, 4609299, 6274350? 8195655 What comes next: -17145, -33968, -50163, -65418, -79421, -91860, -102423? -110798 What comes next: -5758, -5853, -5990, -6151, -6318? -6473 What is next in -208825, -208713, -208601, -208489? -208377 What is the next term in -53394, -106718, -159978, -213180, -266330, -319434, -372498? -425528 What is next in -443, -4082, -13909, -33002, -64439, -111298, -176657, -263594? -375187 What comes next: 1183893, 2367785, 3551677, 4735569? 5919461 What comes next: -18007, -33590, -49161, -64714, -80243? -95742 What is the next term in -23101, -47174, -71247, -95320, -119393? -143466 What is next in 14331, 57319, 128897, 229011, 357607, 514631, 700029? 913747 What is the next term in 1062, 1124, 1318, 1710, 2366, 3352, 4734, 6578? 8950 What comes next: 471883, 471735, 471587, 471439, 471291? 471143 What is the next term in 613909, 613896, 613879, 613858, 613833, 613804, 613771? 613734 What comes next: 3350, 2779, 2218, 1673, 1150, 655? 194 What comes next: 3251757, 13006977, 29265677, 52027857, 81293517, 117062657? 159335277 What is next in 188380044, 188380042, 188380040, 188380038? 188380036 What is the next term in -44200, -44372, -44666, -45082, -45620? -46280 What comes next: 9465284, 18930573, 28395862, 37861151, 47326440, 56791729? 66257018 What comes next: 1212761, 1212775, 1212789, 1212803, 1212817? 1212831 What is next in -307, -2141, -7061, -16621, -32375, -55877, -88681? -132341 What is next in 104470, 103590, 102124, 100072, 97434, 94210, 90400? 86004 What is the next term in -344395, -344377, -344347, -344305, -344251? -344185 What comes next: -626719, -1253499, -1880281, -2507065, -3133851, -3760639? -4387429 What comes next: -307124, -307093, -307050, -307001, -306952, -306909, -306878? -306865 What is next in 36231370, 36231377, 36231384, 36231391? 36231398 What comes next: 3048, 2234, 1410, 570, -292, -1182, -2106, -3070? 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-86076 What comes next: 8162785, 8162795, 8162811, 8162833, 8162861, 8162895, 8162935? 8162981 What comes next: -28373, -28354, -28325, -28280, -28213, -28118, -27989, -27820? -27605 What is next in 5248677, 10497375, 15746099, 20994861, 26243673, 31492547, 36741495, 41990529? 47239661 What is the next term in 37429143, 37429155, 37429167? 37429179 What is next in -2018, -8034, -18182, -32558, -51258, -74378, -102014? -134262 What is the next term in -2165466, -4330932, -6496398, -8661864? -10827330 What is the next term in 1974, 3273, 4572, 5871, 7170? 8469 What comes next: -352008, -352017, -352002, -351957, -351876, -351753, -351582, -351357? -351072 What comes next: 17363, 17452, 17121, 16160, 14359, 11508, 7397, 1816? -5445 What is the next term in -23154875, -23154858, -23154827, -23154776, -23154699, -23154590, -23154443, -23154252? -23154011 What is next in -42617, -47658, -52703, -57752? -62805 What comes next: -1903, -2333, -2667, -2911, -3071, -3153? -3163 What comes next: 5369733, 5369729, 5369725, 5369721? 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Suppose -4*m + 7*m + 5*y - 2 = 0, -3*m + 5*y = -22. Solve 20 = -m*t - 0*t for t. -5 Let m(a) = a**3 - 9*a**2 + 8*a + 3. Let l be m(8). Let z(f) = f**2 - f - 1. Let o be z(l). Suppose 7*y - p - 14 = 3*y, o*p - 10 = 0. Solve 0 = y*r + r for r. 0 Suppose 2*f - 2 = 12. Suppose i - f = 5. Solve 5*x - x = i for x. 3 Let n(g) = -g**3 - 5*g**2 + 3*g - 3. Let w be n(-6). Suppose 27 = 3*b - 3*h + 8*h, 15 = 3*b + h. Solve -b*z = z - w for z. 3 Suppose 0 = 4*q + 8, -17 = -4*n + 5*q + 1. Suppose -4*z = 4*h - 40, -h = -2*h + n*z + 1. Solve -2*y - 10 = -h*y for y. 2 Suppose 0 = 5*v + 3*d - 10, 0*d = -v + d + 10. Suppose -30 = -v*f + 2*f. Suppose 0 = w + j - 3*j - 23, 77 = 3*w + 2*j. Solve -5*s + f*s = w for s. 5 Let y = 2 + 2. Let o be (6/(-4))/((-2)/y). Let x be o/9 - (-33)/9. Solve -9*i + x*i + 15 = 0 for i. 3 Suppose -2*a + 0 = -8. Let q = -28 - -18. Let z = q - -10. Solve -a*p + 31 - 11 = z for p. 5 Let w be (10 - 1)*((-52)/(-12) - 4). Solve w*j = -j - 4 for j. -1 Suppose 3*y + 3 = -4*i, 1 = -4*i + 2*y - 17. Let a be 0 + (1*i)/(-3). Suppose -a - 23 = -3*t. Solve -5*z = -t*z - 15 for z. -5 Let v = 109 + -104. Solve 0 = -v*m - 26 + 6 for m. -4 Let i(f) = f. Let h be i(-2). Let t be -2*(3 - 2)*h. Solve -x = -2*x - t for x. -4 Let g = 40 + -29. Solve -g = 5*c - 36 for c. 5 Suppose -4*x - 13 = 4*h - 37, -h = -2*x. Let n be ((-62)/10 - -5)*(-20)/6. Solve -x*i = -0*i - n for i. 2 Suppose 24 = 7*x + 10. Solve 0 = x*s + 3 - 1 for s. -1 Let f be (2/(-7))/(3/(-105)). Solve -f = 5*y - 3*y for y. -5 Suppose 4*d - 2*b + 0*b - 4 = 0, 6 = -2*d + 3*b. Solve 0 = -3*z + d for z. 1 Let c(r) = -3*r**3 + r. Let h be c(-1). Suppose -5*b + 12 = -b. Solve -b = q - h*q for q. 3 Suppose 0 = 2*g - g + k - 5, -10 = -5*g - 2*k. Solve -i + g*i = -4 for i. 4 Let f be 23/7 + 4/(-14). Suppose -4*o + f*o + 1 = 0. Suppose w - 3 = -2*j, 3*j - 2*w - 28 = -13. Solve j = -u - o for u. -4 Let c = 1 + 1. Suppose -g - 6 = -2*g. Suppose -d = -0 - g. Solve 2*s = -d - c for s. -4 Let j be 11/2 - (-5)/(-10). Suppose 4*d - 8 = 0, 0 = -0*a - 3*a + d + 10. Let p be j*-2*(-2)/a. Solve -p*x = 17 + 3 for x. -4 Suppose -d + 4 = -5*i, 4*d - 16 = 3*i - 0. Let k = 1 + -1. Let y = k + d. Solve -y*u + 8 = -0 for u. 2 Let x be (-9)/(-12) - 66/(-8). Let o = x + 0. Solve 2*r + r = -o for r. -3 Let w be -27*(-2 + 1) - 2. Suppose -4*f - 1 = -w. Solve 4*p - f = -2 for p. 1 Let j be (-2)/6 + (-14)/(-6). Suppose -j*l + 6 = l. Let k = 7 + -5. Solve -l*v + k = -0*v for v. 1 Let u be 0 - 0/(-1 - -2). Let x = 5 + -3. Suppose -x*n + 4*n + 5*k - 24 = 0, 4*k - 16 = 0. Solve -10 = -n*q - u for q. 5 Suppose -y + x = 2*y - 42, 3*y + 3*x - 30 = 0. Suppose 3*g = -4 + y. Solve 15 = -0*p - g*p for p. -5 Let h be 4 + ((-8)/(-2))/(-2). Solve 3 = -h*u - u for u. -1 Let s = 3 - 6. Let o(m) = -m**3 - 4*m**2 - 4*m. Let w be o(s). Suppose 0*t = 2*t. Solve t = w*z - z + 8 for z. -4 Let h(k) = 4*k**3 + k**2 + k - 1. Let f be h(1). Suppose -f*d = -d - 16. Solve -d*p + p = -15 for p. 5 Let n = 86 - 86. Solve 3*a + a - 4 = n for a. 1 Let z(t) = -t**3 - 7*t**2 - 2*t - 10. Let m be z(-7). Solve 5*y - y = -m for y. -1 Suppose 3*j - 7 - 29 = 0. Suppose -7 = -2*l + t + 5, 2*t = -2*l + j. Solve g = l*g for g. 0 Suppose -3*n + 9 = 2*i, -i + n = 2*i - 8. Suppose -4*m + 4 = 4*b, 3 = 4*m + i*b - 2. Solve 3 = m*s + s for s. 1 Suppose -3*l + p + 4 = -9, -3*l + 5*p = -29. Let v be 6*((-9)/6 + l). Solve -3 = 4*i + v for i. -3 Let l be 3 + -1*(1 + 0). Let g = l - 2. Let f = 6 - g. Solve 3*r - f = -0 for r. 2 Suppose -12 = -v - 2*v. Suppose v*c = -c + 35. Let l be 2/(-21)*-3*c. Solve -j = j - l for j. 1 Let a be 8/(-36) - 65/(-9). Let h = a - 7. Solve 3*d + 1 + 2 = h for d. -1 Let n = 2 + -5. Let k be 1*(n + 0) + 2. Let p be k - (3 - 4 - 2). Solve -p*c = -7*c for c. 0 Let u(b) = 2*b - 6. Let k be u(7). Let l = -3 + k. Let o = l + -3. Solve -o*s + 2 = -0 for s. 1 Let w(b) = b**2 - 13*b + 25. Let i be w(11). Solve i = -u + 1 for u. -2 Let z = -20 + -7. Let m = 46 + z. Suppose -2*l + m = -37. Solve -5*o - l = -3 for o. -5 Suppose -13*i = -2*i - 33. Solve 2*r - i + 1 = 0 for r. 1 Suppose 0 = -2*n + 3*n - 3. Solve 3*p + 0 = n for p. 1 Let v(m) = 2*m + 1. Let j(i) = 2*i. Let r(p) = 3*j(p) - 4*v(p). Let y be r(4). Let t be 8/y*-9*4. Solve -4*z + 4 = t for z. -5 Let b = 14 - 5. Suppose -o = 3*v - b, -o = -0*o - 2*v + 6. Solve o = 4*u - 3*u for u. 0 Suppose 2*g - 1 = -s + 1, -5*g + 2*s + 5 = 0. Solve -h - 1 = g for h. -2 Let h = -6 - -4. Let n(d) be the third derivative of -d**4/12 + d**3/3 - 4*d**2. Let w be n(h). Solve j + 2*j = w for j. 2 Let b = 8 + -6. Suppose 3*r - 3*u = -b*r + 4, r + 5*u = 12. Solve -r*w + 12 = w for w. 4 Suppose -3*a - 3*s = -s - 3, 2*a - s - 9 = 0. Suppose a*z + 6 = -6. Let y(m) = m + 5. Let i be y(z). Solve -i = -4*f + 3 for f. 1 Let d be (3 - (-15)/(-6))*4. Suppose t + 0*t - d = 0. Suppose y + 5*z + 8 = z, -z - t = 0. Solve 6*k - k + 15 = y for k. -3 Let j(i) = -i**2 - 9*i + 12. Let l be j(-10). Let d be -2 + 2 + 2 + -1. Let c(b) = b**2 - 2*b + 1. Let o be c(d). Solve o = l*w + 2 for w. -1 Let s be (-1)/(-2) - 104/(-16). Solve -s = 3*c - 4 for c. -1 Let t(y) = -5*y - 11. Let b(m) = -2*m - 4. Let c(d) = -8*b(d) + 3*t(d). Let j be c(7). Solve -j = -q - 2 for q. 4 Suppose 0 = -0*s + 2*s - 16. Solve -s = 5*m - m for m. -2 Let a be ((-3)/3)/(15/(-12) + 1). Solve -1 = -y - a for y. -3 Let z be 6/8 - (-9)/(-12). Let u be 2*(0 + (-15)/(-6)). Suppose -3*b = -0*b - 24. Solve -f + u*f - b = z for f. 2 Let j(p) = p**3 - 8*p**2 + 7*p + 2. Let i be j(7). Let f be -3*(20/(-6) - -2). Suppose 4*t = -0*t - f*n - 8, -4*t + 16 = -i*n. Solve -3*h - t*h = -20 for h. 4 Let b(d) = d**3 + 2*d**2 - d - 1. Let g be b(-2). Let a = 106 - 57. Suppose -a + g = -3*v. Solve -v = -6*w + 2*w for w. 4 Suppose 0*k + 3*k = 6. Let i = 8 + 17. Let r = 30 - i. Solve r*b = k*b - 9 for b. -3 Let j be 2 - (-1 - 0) - (-9 + -7). Let t = 9 - 4. Solve -1 = t*d + j for d. -4 Suppose -c = -4*u + 6*u - 2, -u + 26 = 3*c. Suppose -d - c = -6*d. Let o = d + -2. Solve o = -2*z - 0*z + 8 for z. 4 Let w(l) be the first derivative of 3 - 1/3*l**3 - 1/2*l**2 + 2*l + 1/4*l**4. Let r be w(2). Solve a + 0*a + r = 0 for a. -4 Suppose -5*h - 5*y + 40 = 0, -2*h - 2*h + 29 = y. Let d(v) = -v**2 - 6*v + 4. Let p be d(-6). Let w = h - p. Solve -m + 10 = -w*m for m. -5 Let a(o) = 2*o**2 - 3*o - 1. Let l be a(3). Suppose 0 = 4*s - 2*f + l, 20 = -s - s + 5*f. Solve s = w + w for w. 0 Suppose 0 = -2*f + 4, -2*f - 16 = -5*t - 0. Let q be (-3)/(3 - 0)*0. Solve i + 3*i + t = q for i. -1 Let l(b) = 5*b**3 + b - 1. Let a be l(1). Let d = -5 + 3. Let k be 0/d*(-1 - 0). Solve 0 = -5*w - k*w - a for w. -1 Let t(s) = 4*s**3 + s**2 + s - 1. Let f be t(1). Solve -3*z - 2*z + f = 0 for z. 1 Let s be 23 - ((-3)/(-2) - 4/8). Solve -s = -4*h - 2 for h. 5 Let o = 28 + -16. Solve -5*m = -m - o for m. 3 Let g be 1/1*(-6 - (2 + -10)). Solve -9 = -z - g*z for z. 3 Let l be 12/(-30) - 88/(-20). Solve -l*i = i for i. 0 Suppose c = -0*r + 3*r - 3, c + 2*r - 12 = 0. Let y = c + -3. Let j be 49/y - 6/18. Solve 4*h + 0 + j = 0 for h. -4 Suppose 4*s - 4*y - 17 = -1, -5*y - 4 = 3*s. Solve 3*f + 11 = s for f. -3 Suppose -d = 1 - 2. Solve 3 + d = -2*q for q. -2 Let u be 520/72 + 2/(-9). Let h(k) = k**2 - k - 1. Let c(l) = l**2 + 6*l - 9. Let n(v) = -c(v) + 2*h(v). Let y be n(u). Solve 5*w - 2*w + 9 = y for w. -3 Suppose -3*d + t = -32, d - 2*d + 18 = -4*t. Let x be (8/(-20))/((-2)/d). Let k be (-10)/5 - (0 - x). Solve k = -3*m - 14 - 1 for m. -5 Suppose -13*y + 8*y = -75. Solve -4*u - y = u for u. -3 Suppose 13 = 4*l - 31. Solve 6 = -o + l for o. 5 Let t(o) = o**2 + 3*o - 4. Let q be t(-4). Solve -z - 2 + 4 = q for z. 2 Let o be (2 - 1)/((-2)/(-8)). Suppose g + o*g = 170. Let m be g/6 - 4/(-12). Solve -c + m = 3 for c. 3 Let w be (-3)/((-3)/2) - 3. Let z = 4 + w. Solve -z*t + 3 = -0*t for t. 1 Let h = 21 - 17. Solve -h = o - 1 for o. -3 Suppose -2*x + 25 = -5*n, 0*x - 15 = x + 3*n. Solve i + x = -1 for i. -1 Suppose -3*i - 17 = -q, 0*i + i = 5*q - 127. Let h be 8/(-40) - q/(-5). Solve s - 3 = -h for s. -2 Let w be (-4)/6*(-5 + 2). Suppose -2*i - 10 = 2*p + 2*i, -25 = -4*p + i. Suppose -p - 3 = -k. Solve w*y + k = -0*y for y. -4 Let j(q) = q + 18. Let i be j(-17). Solve 0 = 5*m + i + 14 for m. -3 Let z be (3 + -3)/(-1 + -1). Suppose -30 = -5*b - 4*y, z = -5*b - y + 17 - 2. Solve -b = r - 0 for r. -2 Let a(n) = n + 4. Suppose 0 = 5*i - 3 + 23. Let y be a(i). Solve v + y = -4 for v. -4 Let y(d) = -d**3 - 2*d**2 - 3*d - 3. Let j be y(-2). Suppose -4 = -j*z + 2. Suppose z*f - 3*f = -2. Solve 0 = 4*t + 10 - f for t. -2
Express (-4333*b - 4001*b + 5416*b)*(9 + 0 - 1) in the form n + z*b and give z. -23344 Rearrange (-14*w - 5 + 5)*(-12 + 0 + 0)*(-8*w + 4*w - w + 4) to the form g*w + z*w**2 + k and give z. -840 Rearrange 3323*d**2 - 3342*d**2 + 3 - 1 + (0*d + 4*d + d)*(113 + 39*d - 113) to m*d + t + s*d**2 and give s. 176 Express 0 - t**4 - 12*t - 40*t + t**3 + 54*t - 2*t**2 + 59 as n*t**2 + m + y*t**4 + a*t**3 + q*t and give m. 59 Express -2115 + 206*i - 14*i - 192*i - 3*i**2 in the form o*i**2 + v + w*i and give o. -3 Express -4087*k**2 + 1011291 - 1011291 as s + u*k + z*k**2 and give z. -4087 Express -4*g**2 + g**2 - g**2 + (0 - 2*g + 0)*(47*g - 28*g + 37*g) in the form w*g + v + k*g**2 and give k. -116 Rearrange (52*s - 3*s - s)*(-3 + 19 + 42) to a*s + l and give l. 0 Express (-i - 8*i - 37*i)*(-i**2 + 3*i**2 - 3*i**2) + 1608 + 57*i**3 - 1608 as r + t*i + j*i**3 + b*i**2 and give j. 103 Rearrange (17*b - 8 - 14*b - 1 + (-1 + 2 - 2)*(2 - b - 2))*(0 + 0 - 2*b) + (-64 + 1 - 19)*(0 + 0 - b**2) to i*b**2 + j + x*b and give i. 74 Express -847117*k - 7 + 846789*k + 1 as s*k + u and give s. -328 Express -14*z**2 + 2*z**3 + 7*z**2 - 11322 + 11333 + z**4 + 4*z in the form m + k*z**3 + g*z + j*z**2 + y*z**4 and give j. -7 Express -60*q + 75*q + 93*q + 136*q as u*q + t and give u. 244 Express -54*f + 37 - 5 + 6*f**2 - 14 - 5*f**2 + f**2 in the form c + l*f + k*f**2 and give c. 18 Rearrange (11*a - 8*a - 7*a)*(-421*a + 113*a - 442*a) + 4*a**2 - 3*a**2 + 2*a**2 to the form r + k*a**2 + m*a and give k. 3003 Rearrange (5*l + l - 5*l)*(-3*l**2 - 2 + 2) - 572*l**3 + 561*l**3 - 376*l**3 to i*l + b + z*l**2 + j*l**3 and give j. -390 Rearrange 229 - 98*u**4 - u + u**2 - 310*u**3 - 229 + 309*u**3 to g*u**4 + j + p*u + v*u**2 + c*u**3 and give c. -1 Rearrange (-281*v - 143*v + 105*v - 432*v - 55*v - 470*v)*(-314*v + 146*v + 152*v) to h*v + m + n*v**2 and give n. 20416 Rearrange 25*l**2 + 7*l**4 + 2 - 4*l**3 - 11*l**2 + 2*l**4 - 13*l**2 - 4*l**4 to the form p + b*l**3 + d*l**4 + s*l + j*l**2 and give d. 5 Express -584*l + 1162*l - 11879*l**2 - 383*l**2 - 578*l in the form o*l + s + q*l**2 and give q. -12262 Express 12*d**2 - 3*d**2 - 6*d**2 - 8497*d + 7787*d in the form x + y*d**2 + w*d and give y. 3 Rearrange 18 - 13 - 1893*d - 2 - 3 to q + o*d and give o. -1893 Rearrange 2*o**2 - 2*o**4 - o**4 + 19*o**3 - 79027 + 79034 to the form q*o + a*o**3 + s*o**2 + i*o**4 + c and give c. 7 Express 14 + 3759*v - 7521*v + 3763*v - 5*v**2 - 6 as c*v + a + q*v**2 and give c. 1 Rearrange -207 - 210 + 633 - 215 - 238*r to the form q + u*r and give u. -238 Rearrange -9*o + o - 2*o + (83 - 13*o - 83)*(3 - 5 - 4) to the form h + p*o and give p. 68 Express (0*b**2 - b**2 - b**2)*(2651*b - 192 - 43*b**2 - 2655*b + 35*b**2) in the form l*b**2 + c*b + h*b**3 + k + v*b**4 and give h. 8 Express -8111*s + 6*s**2 + 34*s**3 + 3 + 8114*s - 22*s**3 + 2*s**4 as q*s**2 + z + r*s**3 + c*s + n*s**4 and give c. 3 Express (24*p**3 - 2*p**2 - 4*p**3 - 4*p**3 - 2*p)*(-32*p + 26*p + 109*p) as j*p**2 + i*p**3 + z + m*p + s*p**4 and give j. -206 Rearrange -8 + 33*i**4 - 32*i**4 - 62*i**3 - 2105*i + 2100*i to p*i**2 + m*i + k*i**3 + z + x*i**4 and give m. -5 Rearrange 2 - 54*p - 131*p + 79*p**2 - 2*p**3 - 160*p**2 + 87*p**2 to z*p + u + y*p**3 + i*p**2 and give z. -185 Express 14*m**2 - 75*m**2 + 62*m**2 - 3*m - 18 + (-7*m + 5*m + 7*m)*(5*m - m + 2*m) in the form r + f*m**2 + h*m and give h. -3 Rearrange (-2*x - x + x + 0*x - 4*x + 5*x + (-1 + 3 + 0)*(x - x - 4*x))*(17 - 38 - 22) to the form l*x + d and give l. 387 Express -656 - 245 + 259*b**2 - 718 - 260*b**2 - 291 as j + t*b + g*b**2 and give t. 0 Rearrange -5*u - 5510 - 2*u**3 - 3*u**4 - 11*u**2 + 5520 + 20*u**2 + 0*u**3 + 0*u**3 to x*u**4 + y*u + t*u**3 + n*u**2 + a and give n. 9 Rearrange 9*h**4 + 13*h**4 + 98*h**2 - 2*h**3 - 17*h + 50*h**2 - 24*h**4 to m*h**4 + q*h + j + l*h**2 + v*h**3 and give q. -17 Express ((q + 0*q + 2*q)*(7 - 4 - 2) - 4*q + 2*q + 4*q - 4*q + 9*q + q)*(-2 + 2 + 5*q)*(5 - 3*q - 5) as s*q**3 + n*q + g + v*q**2 and give s. -165 Express -378 + 4*x**2 - 284 + 663 - 175*x**3 in the form m*x**2 + r + s*x**3 + p*x and give s. -175 Express -93470 + 93470 - 4760*v in the form t + f*v and give f. -4760 Rearrange (-11*b - 11*b - 2*b - 2*b)*(44*b + 46*b - 6*b) to f + s*b**2 + k*b and give s. -2184 Rearrange 54*b + 3 + 6*b**2 + 16*b - 39*b - 3 to the form y*b**2 + j*b + q and give j. 31 Rearrange 9 + 3376*p - 6287*p + 3984*p to g + u*p and give g. 9 Rearrange 556*p - 159*p - 1686*p - 1757*p - 332*p to h*p + l and give h. -3378 Rearrange -4*p**3 + 164135*p - 5*p**3 - 164127*p + 3*p**2 to z*p + i + k*p**3 + l*p**2 and give z. 8 Rearrange -2468*h**3 - 4*h**2 - 7*h**2 - 2239*h**3 + 2349*h**3 + (-2*h**2 - 2*h + 2*h)*(-h - h + 3*h) to the form a*h**3 + b*h**2 + d + x*h and give d. 0 Rearrange (0*g**3 - g**3 - g**3)*(5 - 4 - 2) - 2399*g**2 - 509*g**3 + 2401*g**2 + 15 - g + 466*g**3 to the form a*g + r*g**2 + j + y*g**3 and give a. -1 Rearrange (-7 - 13*j + 7)*(3*j - j + 0*j)*(0 + 1 + 0)*(194 - 194 - 16*j) to s + a*j**3 + z*j + p*j**2 and give p. 0 Express 187*v - 1161*v - 4349*v as w*v + n and give w. -5323 Rearrange -55*o + 12*o - 5450*o to q + d*o and give d. -5493 Express (-1 + 9 + 0)*(-9 - 3*w + 4 + 6) - 4*w + 7*w + 0*w + (-3*w + 5*w - 3*w)*(-1 + 4 - 2) - 3*w - 2*w + 4*w as c + o*w and give c. 8 Express -183 + 2647*q + 358 - 175 as y + d*q and give d. 2647 Rearrange -5*d**2 + 0*d**2 + 3*d**2 + (-21 + 21 - 10*d)*(-269 + 269 - 14*d) - 10*d**2 + 2 - 2 to the form a + z*d + j*d**2 and give j. 128 Express -3*y + 0*y - 26*y**3 - 161753*y**2 + 4*y - 3 + 161749*y**2 in the form p*y + n + r*y**2 + k*y**3 and give p. 1 Rearrange 28*z**2 - 230*z - 11*z**2 - 139*z + 1 - 19*z**2 to j*z**2 + o*z + g and give o. -369 Rearrange (-6 - 25 - 24)*(1 + 2*j - 1) + (-1 + 0 - 3)*(0*j - 5*j + 4*j) + 18 - 18 + 2*j to the form y + p*j and give p. -104 Rearrange (7*a + 5*a + 0*a)*(-9 + 4 - 3) + 4*a - 5*a + 3*a + 3 - 3 - 2*a + (2*a + 4 - 4)*(0 - 4 + 2) - a + 38 + 23 + 46 to the form s + w*a and give w. -101 Rearrange -k - 3 - 728*k**3 + 8*k + 388*k**3 + 338*k**3 - k**2 - 16 to y + w*k**3 + z*k + g*k**2 and give w. -2 Rearrange -2854*s**2 + 954*s**2 + 4815203*s - 4815210*s to the form z*s**2 + m*s + r and give m. -7 Express -5*a + 6*a + a**4 + 5 - 846*a**2 + 836*a**2 + 4*a**3 + a**4 as s*a**2 + o*a + u*a**3 + i*a**4 + j and give u. 4 Rearrange (k**3 + 6*k**3 - k**2 + 2*k**3)*(k - k + k)*(0 + 2 - 6) to o*k + p + v*k**4 + d*k**2 + w*k**3 and give v. -36 Express (-328*f**3 + 9*f + 8*f - 30*f + 14*f)*(-4 + 4 + f + (-3 + 10 - 1)*(f - 4*f + 2*f)) as g*f**4 + m + a*f + c*f**2 + x*f**3 and give c. -5 Express -28*p - 103*p + 1794*p**2 - 3584*p**2 - 4 + 1791*p**2 as u + t*p + s*p**2 and give u. -4 Express 0*f**2 - 5*f**2 + 8*f**2 + 8*f**2 + 8*f**3 + 28*f**2 in the form p*f**2 + o + y*f + v*f**3 and give p. 39 Rearrange 8*a + 1422*a**2 - 19*a + 11*a + 1938*a**2 to c + j*a**2 + i*a and give j. 3360 Rearrange (0 - 4 - 2)*(f**2 - 3 + 3) + 5636*f**2 + 207*f + 568*f - 5638*f**2 to s*f**2 + q*f + w and give s. -8 Express 382*n - 776*n - 1144*n as p + y*n and give y. -1538 Rearrange -4*b**2 - 7*b**3 + 73 - 3*b + 3*b**3 - 43 - 24 + 15*b**2 to j*b**3 + a*b + l + h*b**2 and give j. -4 Rearrange (-2 - v + 2)*(-91 + 33 - 158 + (0 + 0 - 1)*(-1 + 3 + 1)) to the form d + x*v and give x. 219 Express (1 + 1 - 3)*(37 - 172 + 72)*(2*o + 3 - 3) as i*o + v and give i. 126 Express -55*u**3 + 9*u**3 - 1 - 2806*u**2 + 12*u + 2806*u**2 as q + y*u**3 + a*u + x*u**2 and give y. -46 Express -11551*m - 7 + 0 - 10 + 17 in the form r*m + a and give r. -11551 Express (2*n**4 - 2*n**4 - n**4)*(9152 - 2425 + 3377 + 7699) in the form w*n**4 + i + y*n + g*n**3 + h*n**2 and give y. 0 Express (-2*h + 0 + 0)*(-515 + 137 - 381) in the form w*h + s and give w. 1518 Rearrange 2036*l**2 - 1847*l**2 - 643*l**3 + 636*l**3 - 2*l to the form i + b*l + y*l**2 + j*l**3 and give j. -7 Rearrange -3*y**3 + 4 - 1 + 66*y - 172*y - 6*y**2 + 81*y to the form s*y**3 + l*y + b*y**2 + i and give i. 3 Express -2*u**2 + 3*u + 7*u**2 - 2*u - u**2 + 5287 - 5286 - 72*u**3 in the form q*u**3 + w*u**2 + n + z*u and give w. 4 Express 952*q + 7877*q + 6218*q - 3615*q in the form w + g*q and give g. 11432 Rearrange 2*k**4 - 2*k - k + 2*k**2 - 299385*k**3 - 4*k**4 + 299382*k**3 to l*k**3 + x*k**4 + j + a*k + s*k**2 and give l. -3 Express (14 - 2 + 4)*(-27 + 17*l**2 + 356*l**2 + 62 - 35) in the form n + i*l + z*l**2 and give z. 5968
Which is the closest to 1? (a) -1 (b) -1/14 (c) 3/16 (d) 2/3 d What is the closest to 2/5 in 1, -0.13, 0.3, -0.5? 0.3 Which is the closest to -1/2? (a) -2 (b) -1 (c) 0.5 b What is the closest to -2/5 in 1, -4, 0.3? 0.3 Which is the closest to -3/2? (a) -5 (b) 4 (c) -2/5 (d) 0 c Which is the nearest to 1/3? (a) 0 (b) 2/11 (c) -0.1 (d) 2 b What is the nearest to 1 in -2, -0.09, -3/8? -0.09 What is the closest to 30.6 in -0.4, 0.5, -1? 0.5 What is the closest to 2 in 0.3, 1, 7/5? 7/5 What is the nearest to -1/3 in -2/15, -3.9, -0.03? -2/15 Which is the nearest to -0.2? (a) 1/3 (b) -1/5 (c) 0.3 (d) 3/7 b What is the nearest to 18 in 1, 0.1, 1/8, -5? 1 What is the closest to 0.1 in 1/6, 1, 100, 1/5? 1/6 Which is the nearest to -0.1? (a) -10 (b) -6 (c) 0.1 (d) -3 c Which is the closest to 2/13? (a) 5 (b) -1 (c) -4 b What is the nearest to 2/17 in -19, 3/2, -5? 3/2 What is the nearest to -1/4 in 3/5, -81, -2/3? -2/3 What is the closest to -1 in 1, 0, -5, 2/17? 0 Which is the closest to -1/4? (a) -0.1 (b) 0.3 (c) 7/8 (d) 0 a Which is the nearest to 2? (a) -1.7 (b) 2 (c) 0.03 b Which is the nearest to -2/3? (a) 0.3 (b) -2/13 (c) 1/3 (d) 1 b Which is the closest to 0.2? (a) -2 (b) 0.2 (c) 13 (d) 0.1 b Which is the closest to -1? (a) -2/13 (b) -6 (c) -0.1 (d) -5 a What is the closest to 1/9 in -4/7, 2, -43, -5? -4/7 What is the nearest to 2 in -24, -13, -0.2, 1? 1 What is the nearest to 5 in -6, -0.05, 0.5? 0.5 Which is the nearest to -0.2? (a) -1/4 (b) 0.4 (c) 80 a What is the closest to 0.1 in 48/5, 1/9, 0.3, 0.1? 0.1 What is the nearest to -17 in 1/5, 0.06, -2, 0? -2 What is the closest to -0.5 in 0.9, 0, 2/7, 4/9? 0 Which is the closest to -1? (a) 4/5 (b) 3 (c) -3 (d) -2/13 d Which is the nearest to -0.2? (a) -6 (b) -3/4 (c) 4 (d) -0.3 d Which is the closest to 4? (a) -15 (b) 0.5 (c) -0.2 (d) 0 b What is the closest to -37 in -5, -1/14, -4? -5 Which is the closest to 5? (a) 1 (b) -2/9 (c) 2 (d) -0.5 c Which is the nearest to -37/3? (a) -0.2 (b) 0.5 (c) -5 (d) -3 c Which is the closest to -0.2? (a) -2/9 (b) 3 (c) 0.04 (d) 0.4 a What is the closest to 3 in -1, 5, -2, 0.2? 5 What is the closest to 6/7 in 0.1, -0.4, -0.1? 0.1 What is the closest to 2/3 in 1/4, -22, 0.3? 0.3 Which is the nearest to -1/2? (a) 0.1 (b) -4 (c) -2 (d) -6.6 a Which is the closest to 3? (a) 5 (b) 3/4 (c) 2/15 (d) -3/4 a What is the nearest to -4 in -2/3, -1, 0.34, -5? -5 What is the nearest to -1 in -2/3, 0, 3? -2/3 Which is the nearest to 0? (a) -9 (b) 1/2 (c) -0.1 c Which is the closest to 0? (a) 122 (b) 2/3 (c) -1/4 (d) 1/5 d What is the closest to -83 in -1/7, -1, 0.1? -1 What is the nearest to 1/15 in -3/16, 0.3, 2, 0.4? 0.3 Which is the nearest to 1? (a) 0.09 (b) -0.3 (c) -0.07 (d) 2 a What is the nearest to 2/17 in -1/3, -2/3, -0.2? -0.2 Which is the nearest to 7? (a) -2/5 (b) 0.06 (c) -4 (d) 0.2 d What is the nearest to -0.1 in -23, 45/7, -1/3? -1/3 What is the closest to -2/7 in 0.4, 0.07, 2, -1? 0.07 What is the nearest to -0.0058 in 0.5, -4, 0.4? 0.4 What is the closest to -792 in 2, 5, 0.4? 0.4 Which is the closest to -2/5? (a) 1/3 (b) 116 (c) -12 (d) 1/2 a What is the closest to -77 in 2/9, -1/3, 0.4? -1/3 Which is the nearest to 0.5? (a) -0.4 (b) 15 (c) -3 (d) -2/3 a What is the closest to 0 in -8, -1/3, -4, 0? 0 What is the closest to -4 in 0.5, 2, 6, -1/4? -1/4 What is the closest to 4 in 1/7, -1, -0.2, 4? 4 Which is the closest to -1? (a) 0.5 (b) 0.01 (c) -36 (d) -0.7 d What is the closest to 0.22 in 2/15, -4, 15? 2/15 Which is the closest to 5? (a) -0.3 (b) 2 (c) -1 (d) -1.7 b What is the nearest to -0.02 in 0.2, 3, 0.03? 0.03 Which is the nearest to -2/29? (a) -0.4 (b) -2 (c) 1 (d) 0 d Which is the nearest to -1/4? (a) 2/3 (b) 7 (c) 2/5 (d) -3/5 d What is the closest to 0 in -60, -11, 2/9, 6/7? 2/9 What is the nearest to 0.3 in 2, -4, -8, -0.11? -0.11 What is the nearest to -0.2 in -0.5, -1/5, 0.4, -1.5? -1/5 What is the closest to 0.06 in -0.3, -1/2, -4/5, 1? -0.3 What is the nearest to 0.42 in 2, -0.4, 0.3? 0.3 Which is the nearest to 1/2? (a) 297 (b) -4 (c) -8 (d) -2 d Which is the closest to 0.1? (a) 3/2 (b) 0.4 (c) 0.1 (d) 6 c Which is the closest to -0.6? (a) 4 (b) -151 (c) 0.1 (d) 2 c What is the closest to -21 in 0.2, -1, 5? -1 Which is the nearest to 1? (a) -0.3 (b) 4/3 (c) -210 b Which is the closest to 0? (a) -1.2 (b) 0.03 (c) -10 (d) 0.4 b What is the nearest to 0 in 0, -3, -59/18, 16? 0 Which is the nearest to -3/4? (a) 2/5 (b) 0.5 (c) 1 a What is the closest to 0.2 in 5, 4, 139? 4 What is the closest to 0.5 in 0.9, 0.2, 3? 0.2 Which is the closest to 1? (a) 2/7 (b) 5 (c) 6 (d) 4 a Which is the closest to 2? (a) 3 (b) -6 (c) 4 (d) 3/8 a Which is the nearest to -1/2? (a) -0.3 (b) 0.3 (c) -6 (d) -1/3 d Which is the closest to -0.09? (a) -1 (b) -1/2 (c) 5/6 (d) 1 b Which is the nearest to -11? (a) 0 (b) 0.2 (c) 5 a Which is the nearest to -3? (a) 5 (b) 1/5 (c) -82 b What is the nearest to -8 in 1, 3, 2/7, -1/3? -1/3 Which is the closest to -0.02? (a) 0.4 (b) 0 (c) -3 (d) -40 b Which is the nearest to -2? (a) 5 (b) -3 (c) 1/6 (d) -5 b What is the nearest to 0.1 in 0.1, 0.16, -3, -5? 0.1 Which is the nearest to 1? (a) 3 (b) 0.7 (c) -1/2 (d) 2/11 b What is the closest to 0.1 in 4, 10911, -3, 0.1? 0.1 Which is the closest to 0.08? (a) 5 (b) 8 (c) -0.4 c What is the nearest to 22 in 2/115, 2/21, -5? 2/21 Which is the closest to 3? (a) -0.07 (b) 1 (c) -5 (d) 7 b What is the closest to 13 in -2/21, 3.3, -1/5? 3.3 What is the closest to -0.1 in 0.5, 3, -18, -5? 0.5 What is the nearest to -14 in 1.3, 1/3, 2/9, -0.3? -0.3 What is the nearest to -0.3 in 410, -1/7, -0.4? -0.4 Which is the closest to 2/3? (a) 3 (b) 4 (c) -0.1 (d) 0 d Which is the nearest to 0.07? (a) -0.1 (b) -1/2 (c) 2 a Which is the nearest to 0.3? (a) -200 (b) 5 (c) -11 b Which is the closest to -0.27? (a) -3 (b) 4/7 (c) 2 (d) 0.4 d Which is the closest to 2? (a) -2/15 (b) -2 (c) -7 (d) 1 d What is the nearest to 0 in 55, -0.5, -4/5? -0.5 What is the closest to -0.1 in -14, 2, 3? 2 What is the nearest to 0.1 in -12, 2/11, 2? 2/11 Which is the closest to 8/11? (a) -1 (b) 0.3 (c) -4 (d) -8 b What is the nearest to 1/2 in -5/3, -463, -12? -5/3 What is the nearest to -0.1 in -3/4, -4, -5, -11? -3/4 What is the nearest to -1/4 in 4, 0.09, 0.3? 0.09 What is the nearest to -4 in 1/16, 4, 2/3, 1/4? 1/16 What is the nearest to 0.6 in 5/3, -1, -0.4, -5? -0.4 What is the closest to -1/5 in 0, -1/5, -13? -1/5 What is the nearest to 0 in -4, -2, -7, 1? 1 Which is the nearest to -0.2? (a) -0.2 (b) 2 (c) -2 (d) -0.4 a What is the closest to -0.1 in 5/7, 0.2, -28? 0.2 Which is the nearest to -2? (a) -11 (b) 0.5 (c) -0.5 (d) 0 c What is the nearest to 1 in 29/2, 5, -7, -0.4? -0.4 What is the closest to 0 in -0.1, -50, -0.5? -0.1 Which is the closest to 0.1? (a) 0.5 (b) 285 (c) 5 (d) 4 a Which is the closest to 1? (a) 0.06 (b) -36 (c) -5 a What is the closest to 3/151 in 5, 3, 4? 3 What is the closest to 0 in -0.1, 7/24, 9? -0.1 Which is the closest to -1/4? (a) -0.2 (b) 3 (c) 2.4 (d) 1/3 a What is the closest to 3 in -1, 14, -3? -1 Which is the closest to -1/4? (a) -1/3 (b) 5 (c) -2/11 (d) -0.5 c What is the closest to -0.1 in 3, -0.5, -31, 0? 0 Which is the closest to 2? (a) 0.5 (b) -3 (c) -1 (d) 0 a Which is the nearest to -2/15? (a) 2 (b) -5 (c) 0.1 (d) -0.14 d Which is the nearest to -736? (a) 2 (b) -1 (c) -2 c What is the nearest to -1/4 in 0.6, -1, 0.3? 0.3 Which is the closest to -1? (a) -3/4 (b) -241 (c) -0.3 a Which is the nearest to -1/4? (a) -1910 (b) 4 (c) -0.3 c Which is the closest to -0.06? (a) -2 (b) 0.5 (c) 2/13 (d) 1/4 c Which is the nearest to -21? (a) -0.2 (b) 0.1 (c) 0.2 (d) -4 d Which is the closest to -7? (a) 3 (b) 2 (c) 1/4 (d) -2/45 d What is the nearest to 0 in 3, 1/4, -2/7, -0.08? -0.08 Which is the nearest to -1? (a) -0.22 (b) 0.1 (c) 35 a Which is the nearest to 5/2? (a) -2 (b) -0.2 (c) -1/2 b What is the closest to -1 in -0.1, -4, 2/21? -0.1 Which is the nearest to 0? (a) 0.002 (b) 0.3 (c) 1/8 a What is the closest to 0 in 3, 8.8, -3/5? -3/5 What is the nearest to 1 in 0, 13.1, -1? 0 What is the nearest to -10 in -10/7, -1, 0.1? -10/7 What is the closest to -0.1 in -0.5, 4/5, -4, 27.2? -0.5 What is the nearest to -815 in 1/2, 0.4, -0.3, -2? -2 Which is the closest to 3/5? (a) -1 (b) 0.2 (c) 9 (d) -0.4 b Which is the closest to -0.1? (a) 53 (b) 3/2 (c) 2/25 c
Calculate the least common multiple of 1 and 171. 171 Calculate the common denominator of -47/22 and -25/3752. 41272 Calculate the common denominator of -24/11 and -51/377. 4147 What is the least common multiple of 308 and 644? 7084 What is the common denominator of 89/18 and 87/8? 72 What is the least common multiple of 1023 and 55? 5115 Calculate the lowest common multiple of 240 and 408. 4080 Calculate the smallest common multiple of 42 and 21. 42 Calculate the common denominator of 127/220 and -69/22. 220 Calculate the lowest common multiple of 198 and 737. 13266 Calculate the lowest common multiple of 12 and 44. 132 Calculate the common denominator of 107/18 and -77/24. 72 What is the common denominator of -125/12 and -19/6? 12 What is the common denominator of 83/1190 and 9/6460? 45220 Find the common denominator of -67/20 and 1/60. 60 Calculate the lowest common multiple of 20 and 39562. 395620 What is the least common multiple of 576 and 24? 576 Find the common denominator of -70/87 and -85/174. 174 What is the common denominator of -76/33 and -22/51? 561 Find the common denominator of 33/16 and 133/312. 624 Calculate the lowest common multiple of 1 and 37619. 37619 What is the least common multiple of 1848 and 126? 5544 What is the lowest common multiple of 2236 and 1118? 2236 Calculate the lowest common multiple of 9 and 351. 351 What is the common denominator of -39/1504 and 41/22? 16544 Find the common denominator of -61/224 and 41/1568. 1568 Calculate the least common multiple of 12 and 1047. 4188 Find the common denominator of -16/365 and 31/1387. 6935 Calculate the smallest common multiple of 3640 and 65. 3640 Calculate the least common multiple of 1895 and 90. 34110 Find the common denominator of 21/110 and -57/20. 220 What is the lowest common multiple of 84 and 42? 84 What is the lowest common multiple of 1794 and 14? 12558 Calculate the common denominator of -99/248 and -41/341. 2728 What is the common denominator of -74/21 and -43/2422? 7266 Calculate the smallest common multiple of 10 and 32. 160 What is the lowest common multiple of 9 and 2029? 18261 Calculate the common denominator of 53/240 and 41/816. 4080 Find the common denominator of 13/81 and -47/231. 6237 Calculate the common denominator of -119/3160 and -69/88. 34760 Calculate the common denominator of 42/25 and -13/50. 50 What is the common denominator of -65/6741 and -46/963? 6741 Find the common denominator of -149/108 and 43/120. 1080 Calculate the common denominator of 43/35 and -2/1379. 6895 What is the common denominator of 145/216 and 28/297? 2376 Find the common denominator of 25/1122 and -113/132. 2244 What is the common denominator of 151/324 and 71/12? 324 What is the least common multiple of 1818 and 162? 16362 What is the least common multiple of 542 and 18? 4878 Calculate the common denominator of -107/540 and -83/540. 540 Find the common denominator of -41/3032 and 37. 3032 Calculate the common denominator of -87/1390 and 35/556. 2780 What is the least common multiple of 11 and 105? 1155 Calculate the least common multiple of 88 and 104. 1144 Find the common denominator of -1/1760 and -17/220. 1760 What is the least common multiple of 39 and 130? 390 What is the common denominator of 18 and -20/1609? 1609 What is the least common multiple of 120 and 1500? 3000 What is the lowest common multiple of 1164 and 126? 24444 What is the smallest common multiple of 104 and 32? 416 Calculate the common denominator of 47/90 and 13/4239. 42390 Calculate the lowest common multiple of 266 and 38. 266 Calculate the common denominator of 46 and -65/2268. 2268 Find the common denominator of -71/42 and -115/14. 42 What is the lowest common multiple of 366 and 12? 732 Find the common denominator of -52/155 and -37. 155 What is the lowest common multiple of 15460 and 4? 15460 What is the smallest common multiple of 621 and 414? 1242 What is the lowest common multiple of 455 and 130? 910 Calculate the smallest common multiple of 20 and 62. 620 What is the lowest common multiple of 9 and 63? 63 Calculate the common denominator of 83/1698 and -107/30. 8490 Calculate the smallest common multiple of 14652 and 2. 14652 Calculate the smallest common multiple of 145 and 2610. 2610 Find the common denominator of 131/1278 and 59/10. 6390 What is the smallest common multiple of 723 and 964? 2892 Calculate the least common multiple of 432 and 872. 47088 Calculate the lowest common multiple of 8 and 96. 96 What is the common denominator of 107/1386 and -119/24? 5544 What is the common denominator of 19/2398 and -57/1526? 16786 Find the common denominator of -31/507 and 139/192. 32448 What is the common denominator of -81/68 and -113/6? 204 Find the common denominator of 83/3552 and -103/6. 3552 What is the smallest common multiple of 171 and 437? 3933 Calculate the least common multiple of 93 and 3. 93 What is the common denominator of -33/38 and -161/78? 1482 Find the common denominator of 21/968 and 53/28. 6776 What is the lowest common multiple of 172 and 16? 688 What is the smallest common multiple of 748 and 1292? 14212 Calculate the least common multiple of 11 and 41. 451 What is the common denominator of 19/440 and 13/22? 440 Calculate the smallest common multiple of 30 and 33. 330 Calculate the common denominator of -107/24 and -93/50. 600 What is the common denominator of 88/45 and 56/81? 405 What is the least common multiple of 931 and 63? 8379 What is the common denominator of 23/168 and 8/231? 1848 Calculate the common denominator of -57/2828 and 131/12. 8484 What is the least common multiple of 25 and 550? 550 Calculate the common denominator of 13/126 and 33/266. 2394 Calculate the least common multiple of 5120 and 45. 46080 What is the smallest common multiple of 225 and 99? 2475 What is the smallest common multiple of 18 and 75? 450 Calculate the common denominator of 107/72 and -49/15. 360 What is the least common multiple of 4 and 96? 96 What is the smallest common multiple of 45 and 27? 135 What is the lowest common multiple of 1102 and 10? 5510 Find the common denominator of 62/81 and -61/72. 648 Find the common denominator of 91/6 and 64/303. 606 Calculate the common denominator of 191/1470 and 95/2646. 13230 What is the common denominator of -173/1470 and -16/345? 33810 Find the common denominator of -31/318 and 53/5. 1590 Calculate the smallest common multiple of 5336 and 261. 48024 Calculate the lowest common multiple of 11616 and 960. 116160 What is the least common multiple of 4 and 32? 32 What is the lowest common multiple of 35 and 25? 175 What is the lowest common multiple of 27 and 3? 27 Calculate the smallest common multiple of 4 and 5838. 11676 What is the common denominator of 81/196 and 33/1960? 1960 What is the least common multiple of 14622 and 18? 43866 Calculate the common denominator of -5/4 and -3/496. 496 Calculate the common denominator of 57/2 and 23/81. 162 What is the common denominator of 37/324 and -40/27? 324 Find the common denominator of 17/32 and -35/2. 32 Calculate the common denominator of 119/24 and -15/142. 1704 Calculate the common denominator of 119/216 and -103/56. 1512 What is the common denominator of 29/10 and 23/323? 3230 What is the smallest common multiple of 72 and 1008? 1008 Find the common denominator of 43/64 and 11/1216. 1216 Find the common denominator of 73/8 and 37/386. 1544 Calculate the lowest common multiple of 91 and 273. 273 Find the common denominator of -143/12 and 45/1006. 6036 Calculate the smallest common multiple of 16 and 334. 2672 Calculate the common denominator of 95/18 and 77/30. 90 Find the common denominator of 49/48 and 41/36. 144 What is the common denominator of -23/10 and 47/102? 510 Calculate the lowest common multiple of 192 and 6. 192 Calculate the lowest common multiple of 128 and 3. 384 What is the least common multiple of 8 and 10832? 10832 Find the common denominator of -48/803 and -85/438. 4818 What is the smallest common multiple of 310 and 50? 1550 Calculate the common denominator of -25/104 and -57/8. 104 Find the common denominator of 95/594 and 19/594. 594 Calculate the common denominator of -33/1060 and -43/3180. 3180 Calculate the lowest common multiple of 2 and 2260. 2260 Calculate the smallest common multiple of 1182 and 21. 8274 What is the smallest common multiple of 7194 and 21? 50358 What is the common denominator of 71/418 and -39/190? 2090 What is the smallest common multiple of 12 and 564? 564 What is the common denominator of -91/344 and -61/56? 2408
Let g(l) = -269*l - 1. Let p(s) = -4*s**2 + 1032. What is p(g(t))? -289444*t**2 - 2152*t + 1028 Let j(p) = -37*p. Let q(t) = -6270*t - 2527. Let b(x) = -209*x - 84. Let w(h) = -361*b(h) + 12*q(h). Calculate w(j(n)). -7733*n Let d(a) = -2*a. Let i(g) be the second derivative of 19*g**5/120 + 8*g**3/3 - g**2 + 122*g. Let c(z) be the second derivative of i(z). What is c(d(b))? -38*b Let w(o) be the first derivative of 3/2*o**2 + 0*o + 38. Let q(d) = 2*d**2 + 27. Give w(q(r)). 6*r**2 + 81 Let j(z) = -166*z**2 + 57*z**2 + 60*z**2 + 45*z**2. Let v(g) be the second derivative of -4*g**4/3 + 2*g. Calculate v(j(b)). -256*b**4 Let u(o) = -2*o. Let z(g) = -76*g**2 - 4092*g + 2. Calculate u(z(n)). 152*n**2 + 8184*n - 4 Let s(p) = 44*p**2 - 1. Let b(a) = 9*a**2 + 22*a + 39. Let z be b(-2). Let n(w) = -73 - 27*w**2 + z*w**2 + 73. Calculate n(s(h)). 7744*h**4 - 352*h**2 + 4 Let m(z) = -22 - 231*z - 21 + 468*z + 43 - 234*z. Let a(y) be the third derivative of 4*y**5/15 + y**3/2 + 3*y**2. Calculate a(m(o)). 144*o**2 + 3 Let a(k) = -4*k - 3. Let b(l) = -3*l - 2. Let p = 58 - 55. Let h(s) = p*b(s) - 2*a(s). Let y(w) = -173*w**2. Give h(y(r)). 173*r**2 Let u(p) = -19*p. Let h(w) = -4*w**2 + w + 138280. Calculate h(u(k)). -1444*k**2 - 19*k + 138280 Let p(v) = -5 + 396616*v - 396618*v + 5. Let w(m) = -5856*m. What is w(p(b))? 11712*b Let g(z) = 2*z + 53. Let v(u) = -2*u - 43887. Determine v(g(r)). -4*r - 43993 Let d(h) = 2*h - 93. Let i(t) = -27*t + 1116. Let a(j) = -36*d(j) - 3*i(j). Let s(u) = -2*u - 517. What is s(a(y))? -18*y - 517 Let a(j) = 2373407335*j. Let d(t) = t. Determine a(d(o)). 2373407335*o Let g(r) = 235170*r**2. Let v(b) = 4652*b. Determine v(g(y)). 1094010840*y**2 Let a(v) = -2*v. Let h = 152 - 143. Let m(j) = 5 + 0 - h + 2 + 6*j. Give m(a(d)). -12*d - 2 Let s(a) = 30*a + 90081. Let t(q) = -2*q**2. Determine s(t(f)). -60*f**2 + 90081 Let a(g) be the third derivative of -1823*g**4/8 + 1139*g**2 - 2*g + 2. Let h(n) = n. Give a(h(x)). -5469*x Let f(o) be the first derivative of o**3/3 + 152. Let p(z) = -7*z**2 - 6. Calculate f(p(n)). 49*n**4 + 84*n**2 + 36 Let s(z) = -236*z**2 + 14*z + 7. Let v(u) = -155*u**2 + 10*u + 5. Let c(h) = -5*s(h) + 7*v(h). Let f(k) = k. What is c(f(r))? 95*r**2 Let k(a) = 4*a**2 - 6*a**2 + 3*a**2. Let l(h) = 215*h**2 - 4*h - 18. Let r(y) = 213*y**2 - 5*y - 21. Let o(m) = 7*l(m) - 6*r(m). What is o(k(s))? 227*s**4 + 2*s**2 Let q(v) be the first derivative of -v**3/3 + 12*v**2 - 18*v + 21. Let a be q(23). Let p(x) = -7*x + 11*x - a*x. Let s(f) = 8*f**2. What is s(p(y))? 8*y**2 Let x(h) = -3*h. Suppose -69*i = -70*i + 1. Let b(y) = -10 + 6*y - y + 2 + 8 + i. Give b(x(p)). -15*p + 1 Let s(d) = 13 - 1943*d + 1946*d - 13. Let o(q) = 1337*q**2. What is o(s(z))? 12033*z**2 Let r(w) = w**2. Let i be (-18)/(-15)*(-15)/(-3). Let v = i - 1. Let o(p) = -10*p - 7*p - v*p + 25*p. Determine o(r(u)). 3*u**2 Let l(y) = -32*y**2. Let i(t) = 16*t - 8. Let j(u) = 16*u - 11. Let f(b) = -3*i(b) + 2*j(b). Give f(l(m)). 512*m**2 + 2 Let d(h) be the third derivative of -h**5/2 + h**3/3 - 6562*h**2. Let f(c) = -3*c - 14. Give d(f(q)). -270*q**2 - 2520*q - 5878 Let l(f) = -11*f + 115 + 9*f - 103. Let j(v) = 2*v - 10. Let z(w) = 6*j(w) + 5*l(w). Let m(h) = h + 91. Give m(z(c)). 2*c + 91 Let i(q) be the first derivative of -5*q**2/2 + 1. Let g(d) be the first derivative of d**2 + 1586*d - 1586*d - 87. What is g(i(n))? -10*n Let j(c) = 8*c**2. Let h(f) = -24*f**2 - 30 - 64 + 94. What is j(h(g))? 4608*g**4 Let c(u) = 4*u. Let r(k) = 6398367*k**2. Give c(r(l)). 25593468*l**2 Let i(n) = -28*n**2 + 34*n**2 - 2*n + 2*n. Let b(j) = -23*j + 7*j - 9*j - 4*j. Calculate b(i(y)). -174*y**2 Let b(o) be the first derivative of 31 - o**2 - 64 + 7*o**2 - 81 - 2. Let w(d) = -d**2 + 4*d**2 + d**2. What is b(w(s))? 48*s**2 Let z(q) = -349122*q**2. Let a(g) = -1184*g**2. Determine z(a(l)). -489418770432*l**4 Let d(p) be the first derivative of p**2 + 429. Let b(q) = 2*q**2 - 1476. What is d(b(i))? 4*i**2 - 2952 Let j(a) = 13*a - 1. Let d(n) = 9*n + 25. Let r(x) = 28*x + 80. Let p(q) = -16*d(q) + 5*r(q). What is p(j(o))? -52*o + 4 Let l(k) = 3*k + 2*k**2 + 0*k - 3*k. Let n = -55 - -85. Let r(q) = n*q + 2*q - 15*q. What is l(r(h))? 578*h**2 Let g(h) = 13*h - 29*h + 17*h. Let t(c) = -34*c - 58*c - 23*c. Determine t(g(n)). -115*n Let v(q) = -76*q - 30. Let d(n) be the third derivative of -17*n**4/8 - 7*n**3/2 + 176*n**2. Let a(s) = -7*d(s) + 5*v(s). Let b(z) = z**2. Give b(a(h)). 529*h**2 + 138*h + 9 Let u(a) = -11*a - 14*a - 18*a + 44*a. Let z(h) = 48*h + 39*h - 95*h + 9. What is u(z(o))? -8*o + 9 Let m(t) = -5*t. Suppose 8*b + 411 = 8995. Let c(r) = -b*r + 527*r + 524*r. What is c(m(j))? 110*j Let p(a) be the second derivative of -1/6*a**3 + 0*a**2 + 10 - a. Let j(l) = 40*l**2. Determine p(j(x)). -40*x**2 Let a(h) = 7*h + 2. Let u(z) = z + 1. Let r(g) = -a(g) + 2*u(g). Let m(n) be the first derivative of -7/2*n**2 - 19 + 0*n. Determine r(m(y)). 35*y Let l(u) = 6099550 + 25*u**2 - 6099550. Let y(n) be the third derivative of n**4/6 + 3*n**2. Give y(l(h)). 100*h**2 Let s(v) = 77*v + 42. Let p(a) = 54*a + 30. Let y(w) = 7*p(w) - 5*s(w). Let n(b) = -4*b**2 + 5*b**2 - 23*b**2. Calculate n(y(d)). -1078*d**2 Let s(c) = 69*c**2. Suppose 0 = -g - 3*j + 144, 3*j = g - 2*j - 120. Let z(n) = -129*n + g*n - 1 + 1. What is s(z(u))? 2484*u**2 Let n = 26 + 6. Let s(j) = -59*j**2 + 29*j**2 + n*j**2. Let x(t) be the first derivative of -5*t**2/2 + 1. Determine s(x(k)). 50*k**2 Let g(l) = 15*l. Let j(h) = -h. Let o(d) = -17*d - 3. Let s(v) = 6*j(v) - o(v). Give s(g(u)). 165*u + 3 Let r(p) = 5095 - 5095 + 53*p. Let k(y) be the second derivative of -2*y**3/3 - 5*y. What is k(r(b))? -212*b Let b(c) = 2*c**2. Let z(u) = -23046525*u**2. Give z(b(v)). -92186100*v**4 Let n(m) = 32040*m**2 - 1908*m + 36. Let v(y) = 4577*y**2 - 265*y + 5. Let h(u) = -5*n(u) + 36*v(u). Let x(c) = 2*c**2. Determine x(h(d)). 41806368*d**4 Let p(v) = 10*v**2. Suppose -7 = -11*y + 147. Let u(x) = -5*x**2 - 7*x - 7. Let g(t) = 2*t**2 + 3*t + 3. Let q(r) = y*g(r) + 6*u(r). Calculate q(p(z)). -200*z**4 Let v(i) be the second derivative of -1/6*i**3 + 0*i**2 + 0 + 33*i. Let c(h) = 2*h + 155. Calculate c(v(a)). -2*a + 155 Let i(d) = -17*d + 12. Let p(h) = -14*h + 10. Let u(t) = 5*i(t) - 6*p(t). Let q(j) = -14*j**2 - 2. What is q(u(n))? -14*n**2 - 2 Let h(n) = -3 - 154244*n + 154318*n + 3. Let f(a) = -2*a**2. Calculate h(f(u)). -148*u**2 Let w(q) = 394*q**2 + q - 12. Let j(d) = -391*d**2 - d + 8. Let g(s) = -3*j(s) - 2*w(s). Let l(y) = 5*y**2. What is g(l(p))? 9625*p**4 + 5*p**2 Let x(n) be the second derivative of n**5/120 - 5*n**3/3 + 18*n. Let l(b) be the second derivative of x(b). Let g(d) = 4*d - 19 + 19. Determine l(g(o)). 4*o Let f(k) = -29*k. Let j(h) = 306207*h. What is j(f(x))? -8880003*x Let d(s) = 1468*s. Let p(v) = -14284*v. Calculate p(d(b)). -20968912*b Let x(y) = -2*y + 3. Let m be x(-1). Suppose 0*g + d = m*g - 18, 3*d = -3*g + 18. Let b(a) = -g*a + a + 2*a. Let v(q) = 15*q. Give b(v(f)). -15*f Let n(u) = 13*u**2 - 4 - 3 - 4. Let o(j) = 6 + 2484*j + 2479*j - 7443*j + 2480*j - 7*j**2. Let v(a) = -6*n(a) - 11*o(a). Let h(p) = -3*p. What is v(h(d))? -9*d**2 Let t(n) = -162*n**2. Let s(c) be the third derivative of 0 + 27*c + 0*c**3 + 1/24*c**4 - 2*c**2. What is t(s(o))? -162*o**2 Let k(m) = m - 263. Let a(l) be the third derivative of -l**5/6 + 4336*l**2. What is k(a(d))? -10*d**2 - 263 Let x(n) = 2*n**2. Suppose 5*b + 3260 = 8365. Suppose -5*g = -194 - b. Let r(i) = -g + 19*i + 243. What is r(x(h))? 38*h**2 Suppose 0 = 2*f + 3*f - 30. Suppose -5*r - 11 = -3*z, -2*z - 4*r = 3*z - f. Let k(b) = 8*b**2 - 12*b**z + 5*b**2. Let g(s) = -23*s**2. Give g(k(l)). -23*l**4 Let c(q) = -6*q**2. Let g(n) be the third derivative of 47*n**5/4 - 2*n**2 + 29. What is c(g(w))? -2982150*w**4 Let z(k) = -k - 17. Let g(x) be the third derivative of 0*x + 0*x**3 + 29*x**2 - 1/30*x**5 + 0*x**4 + 0. What is g(z(c))? -2*c**2 - 68*c - 578 Let g(a) = -13*a. Let o(w) = -558271*w**2. What is g(o(b))? 7257523*b**2 Let t(i) = i. Let l(r) be the second derivative of 7*r**4/12 - 5*r**2 + 43*r + 1. Let w(g) be the first derivative of l(g). Give w(t(n)). 14*n Let h(c) = c**2 - 33. Let f(z) = 25754*z. What is h(f(u))? 663268516*u**2 - 33 Let w(b) = -11*b + 18. Let f(i) = 16*i - 38. Let h(o) = 4*f(o) + 9*w(o). Let c(x) = -3*x**2. Give c(h(g)). -3675*g**2 + 2100*g - 300 Let w(y) = -11*y. Let g(p) = 106914274*p. What is g(w(i))? -1176057014*i
Let f be (-199)/(-3) - (-6)/9. Let s = 98 - f. Is s a composite number? False Let b(l) be the third derivative of -1/8*l**4 + 0*l + 1/12*l**5 + 2*l**2 + 5/6*l**3 + 0. Is b(-5) prime? False Let x be (-4)/4 + (-100)/2. Is (-10)/(108/x + 2) composite? True Let c(v) = -2*v - 7. Let p be c(-6). Let b(g) = g**3 - 4*g**2 - g + 3. Is b(p) composite? False Suppose -c = -0*c + 3. Let x = c + 6. Suppose 2*z - x*z + 89 = 0. Is z composite? False Let o = 112 - 62. Suppose -r + o = 4*u, 3*u + 5*r - 16 = u. Is u composite? False Let w(t) = 14*t**2 - 1. Let r(j) = -j - 1. Let v be r(-8). Suppose -4*d + 1 + v = 0. Is w(d) a composite number? True Let r be ((-27)/4)/((-4)/16). Let x = 80 - r. Is x a composite number? False Is 3 + 3 + -4 + 675 a composite number? False Let z(o) = -16*o - 9. Let v be -2*10*(-1)/(-4). Is z(v) composite? False Let x(t) = 2*t**2 + t - 25. Is x(-12) a composite number? False Suppose 0*s + 3*t = -5*s - 1983, 2007 = -5*s + 3*t. Suppose -14 = 4*u + b, -3*b + 22 = -4*u - 0*b. Is u/(12/s) + -2 a prime number? True Let x(l) = 11*l**2 + 10*l - 8. Let p be x(4). Let b(w) = -5*w. Let k be b(-1). Suppose k*r - p + 23 = 0. Is r prime? True Suppose 0 = 5*m - 0*m - 10. Let h be ((-8)/(-3))/(m/3). Suppose 8 + 1 = -3*k, 5*k = -h*x + 293. Is x prime? False Let y = -1039 + 1534. Suppose y = 4*s - 5*v, -s = -0*s + v - 117. Let j = s + -51. Is j a composite number? True Suppose -39 = 5*c - 3*w, 4*w - 2*w = -4*c - 40. Let o be (-8)/(-6) + (-6)/c. Let s = o + 4. Is s prime? False Suppose a + 6 = -16. Let o be 4/22 - 3362/a. Let c = 356 - o. Is c composite? True Let b(o) = -2859*o**2 - o - 2. Let h be b(-2). Is (2/3)/((-8)/h) a prime number? True Suppose p = 3*c + 259, -518 = -4*p + 2*p - 4*c. Is p a composite number? True Suppose -4*i - 7 + 315 = 0. Is i a composite number? True Let q = 2693 - -998. Is q composite? False Suppose -3*o = 5*l + 475, 285 = -l - 2*l - o. Let h = 294 + l. Is h composite? False Let m be 3 + -4 + 4261 + 2. Let o = m - 2943. Is o a prime number? True Suppose 60 = -b + 6*b. Suppose 0 = -3*x - b, 2*u + 3*x + 4 = -0*x. Let n(d) = d + 3. Is n(u) prime? True Is -3*8/12 + 51 composite? True Let q(h) = 5*h**2 + 0*h**3 - 3 + 2 - h**3 - 5*h + 4*h**2. Is q(8) composite? False Suppose -5 = -4*h - 21, -2*h = -2*b + 2. Is 419 + (6 + b - 3) composite? False Let w(c) = 10*c + 1. Let b be w(-4). Let o = 108 + b. Is o prime? False Suppose 17 = -4*y + 29. Suppose 4*s = s + 444. Suppose y*q = -q + s. Is q a prime number? True Let x = 18 + 440. Suppose x + 332 = 2*o. Suppose k - o = -4*k. Is k a composite number? False Let i = -1 + 5. Suppose -u = 5*b - 114, -3*b + i*b - 26 = -u. Is b prime? False Let h be ((-4)/(-3))/(2/21). Is 1337/h*(1 - -1) prime? True Let u(b) = b**3 + 8*b**2 + 6*b - 5. Let d be u(-7). Suppose d*l + 1 = 7. Suppose 0 = -4*f - 2*w + 32 + 218, 3*f + l*w = 189. Is f a composite number? True Let j(i) = -i**3 + 11*i**2 + 10*i + 12. Let o be j(12). Let s = 89 + o. Is s composite? True Suppose -2*s - 28 = 90. Is (7 + -4)/((-1)/s) prime? False Let q(o) be the second derivative of -3*o**5/40 - o**4/12 + o**3/3 - o. Let b(u) be the second derivative of q(u). Is b(-5) prime? True Let s(n) = -n - 1. Let o(j) = -j**2 + 4*j + 8. Let r(i) = -o(i) - 6*s(i). Is r(5) a composite number? True Let k(i) = -i**2 - i + 17. Let w be k(0). Suppose -5*u = 3*f + w, 4*f + u - 4*u = 16. Is f + -1 + -3 - -116 a prime number? True Suppose 2*z - 4 = 3*z. Let k(b) = -2*b - 6. Let q be k(z). Let x(m) = 19*m - 3. Is x(q) a prime number? False Let c = 0 - 6. Let h(k) = -9*k - 3*k**3 + 11*k + k**3 + 1 - 6*k**2. Is h(c) prime? False Suppose 3*s = 2*t - 16 - 0, 0 = 2*t - 2*s - 14. Suppose -t*k = -2*k + 120. Is k/(-6) + (-1)/(-3) a prime number? True Let z(f) = -f**3 + 7*f**2 - 6*f. Let q be z(4). Is (-221)/(-6) + 4/q composite? False Let c(w) = 6*w**2 - w - 1. Let f be c(-1). Is f + -3 - 2*-104 prime? True Suppose -3*l + 62 + 13 = 0. Suppose -5*a = l - 240. Is a prime? True Let v = 7 + -7. Suppose 3*s - s = 22. Let j = s + v. Is j a prime number? True Let i be (-7)/(-2) - (-1)/2. Suppose 0 = -r + i*r. Let z = r - -3. Is z a prime number? True Suppose 1 = -y + 6. Let u = y - 5. Suppose -p - 2*p + 345 = u. Is p composite? True Suppose 4*v = 3*p - 37, 6*p + v - 77 = p. Suppose -51 = -3*b + p. Is (0 - b)*(-14)/4 a composite number? True Suppose 0*s + 4 = 2*s. Suppose 2*h - 20 = -s*h. Suppose 6*i - 2*i - 3*o - 59 = 0, o = -h. Is i prime? True Suppose 4*i - 3*i + 92 = 0. Let a be ((-159)/4)/(2/(-8)). Let x = i + a. Is x composite? False Suppose -62 = 16*l - 18*l. Is l prime? True Let u = 153 + -38. Is u a composite number? True Let z = 9 + -19. Let n = 5 + z. Is (-1 - -55) + 4 + n a prime number? True Let u be (10/(-8))/(1/(-4)). Let r = 58 - u. Let g = 78 - r. Is g composite? True Suppose -2*u - 16 = a - 3*u, 0 = a + 2*u + 25. Let o = -28 - a. Let l = o - -22. Is l a composite number? False Suppose 7*w - 10*w + 1293 = 0. Is w prime? True Suppose -4*r - r + 10 = 0. Suppose 0 = -r*n + 664 + 222. Is n prime? True Let u = 915 - 496. Is u a composite number? False Let j = -108 + 23. Suppose 4*f + 166 = 4*t - 3*t, -4*t + 685 = 5*f. Let h = j + t. Is h prime? False Let k(y) = y**2 - 8*y + 4. Let v be k(8). Suppose v*r - 3*r = 3. Suppose -r*s - 2*p - 48 = -176, -4*s + 2*p + 194 = 0. Is s prime? False Let u = -2 + 4. Let y be u + -2 + 1 + 2. Suppose 7*o - 11 = -a + 2*o, 0 = -y*a - 3*o + 21. Is a composite? True Let d = 22 + 112. Is d prime? False Let l be (0 + 3)*(-4)/(-4). Suppose u - 166 = -l*i, i - 3*u + 0*u = 52. Is i a prime number? False Let z = 38 - 23. Suppose 0 = 4*f - 5*f + z. Is f composite? True Suppose 8*y - 5*y - 1437 = 0. Is y a composite number? False Let a(r) = 3*r**2 + 5*r - 7. Let j(z) = 6*z**2 + 10*z - 13. Let d(l) = -5*a(l) + 3*j(l). Let u be d(-4). Suppose -u = -2*w - 2*w. Is w composite? True Let w(m) = -85*m. Let l be -4 - -6 - (-3)/(-1). Is w(l) prime? False Let s(o) = 5*o + 2. Suppose -3*c + 5*z = -36, -5*c + 4*z = 3*z - 38. Is s(c) a prime number? True Suppose -4*k - 368 = -0*k. Is (k/(-8))/(1/6) a prime number? False Is (-2 - 2061)/(1/(1 + -2)) a prime number? True Suppose -3*u - 9 = 2*x, -2*u + 5 = 5*x - 0. Let z(b) = -b**3 - 4*b**2 + 5*b + 6. Let w be z(u). Suppose w*c - c - 130 = 0. Is c a composite number? True Let x(p) = 55*p + 5. Let n = 17 - 11. Is x(n) composite? True Let u be -1*2/(4/30). Let d be (-6)/u - 24/10. Is d/(-2 + 4) - -5 prime? False Let c(w) be the second derivative of w**5/5 - w**4/12 + w**3/2 - 3*w**2/2 - w. Let q(k) = -k**2 - 4*k - 1. Let h be q(-3). Is c(h) a prime number? True Suppose -4*v - v = 10. Is (-228)/8*v/3 a composite number? False Suppose k = 4*k - 684. Suppose 0 = -0*w + 2*w - 5*d + 148, -4*w + 2*d = 312. Let u = k + w. Is u a composite number? False Let t(p) = 3*p - 10. Let d be t(5). Suppose d*q - 305 - 26 = -2*o, 3*q + 4*o - 207 = 0. Is q a composite number? True Let s(b) = b + 4. Let a be s(-6). Let k be (0 - a)*1*8. Is 56/k*2*1 composite? False Let m be (-60)/(-35) + 4/14. Suppose 5*h - 4*h - 43 = v, -m*v = 2*h - 102. Is h composite? False Is 2162 - 3/(1 - -2) prime? True Let z(p) = -48*p - 3. Let v be z(-6). Suppose 2*m + v = 5*m. Is m a prime number? False Is 2/4*-2 - -158 prime? True Let t be 3/5 + (-412)/(-5). Suppose m - 20 = -3*m. Suppose t + 102 = m*z. Is z a composite number? False Suppose 3*m - 247 = 362. Is m prime? False Let r be (44 + 0)/(3/(-3)). Let l = 24 - r. Suppose 0*b + l = 2*b. Is b prime? False Let j = -241 + 88. Let v = -95 - j. Is v a prime number? False Suppose -5*m + 5*l = -585, -m + l = m - 229. Suppose 3*a + m = n, -6*a + a = -3*n + 344. Is n a prime number? False Is 3 + 0 + 1 - -533 a composite number? True Let n = 132 - 39. Let k = n - 56. Is k prime? True Let j = -158 - -332. Suppose -2*z - z = -j. Is z a composite number? True Let v be ((-10)/(-15))/(2/12). Suppose -2*i = -2*r + 364, -v*r + r + 558 = i. Is r composite? True Suppose 2*p + 2*p - 20 = 0. Is 633/5 + 2/p a composite number? False Let o(n) = 83*n. Is o(3) composite? True Suppose -3*i - 2*i - 15 = 0. Is -3*2*i/9 prime? True Suppose 800 = 5*i - 255. Is i a prime number? True Let o(r) be the second derivative of -11*r**3/3 - 9*r**2/2 - r. Is o(-6) prime? False Let p be 2/(1*6/15). Suppose 48 = 2*m + 2*m - 3*t, -5*m = 5*t - 60. Let h = m - p. Is h a composite number? False Let z(s) = -s**3 - 11*s**2 + s + 3. Let w(j) = j**3 + 12*j**2 - j - 4. Let d(k) = -5*w(k) - 6*z(k). Let t be d(-7). Is (-4)/8*(t - 2) a composite number? True
Suppose 2*j = a, 4 = a + 4*j - 2. Let n = 2198 + -2193. What is the greatest common divisor of a and n? 1 Suppose 5*v = 4*k - 9, 4 = 5*k - 5*v - 1. Let o be (-55)/(-25) - k/(-20). What is the highest common factor of 16 and o? 2 Suppose 7*s - 2*s = 205. Calculate the greatest common factor of 205 and s. 41 Suppose -k = 3*k - 4. Let s be ((-84)/(-8))/(k/2). Suppose 0*p + 2*p = 5*d - 43, -2*d + s = 3*p. What is the greatest common divisor of d and 36? 9 Let c be (-3)/(-6) + (-4)/(-8). Let t be (22/2)/(c/1). Suppose -4*y = 2*o + t + 5, -5*o + 35 = -5*y. What is the highest common factor of 2 and o? 2 Let f = 386 - -424. Suppose 0 = -6*q - 3*q + f. Calculate the highest common divisor of 10 and q. 10 Let n(y) = -2*y**3 + 2*y**2. Let r be n(-4). Let o be 0/(-2) + -3 + 12. Let z = o + 11. What is the greatest common divisor of r and z? 20 Suppose z = 3*a - 670, 0 = 4*a + 3*z - 371 - 531. Let i = 75 - 61. Calculate the greatest common divisor of i and a. 14 Suppose x = -197 + 212. Calculate the highest common factor of x and 171. 3 Let c be (-2)/(-5) + 78/5. Suppose 0 = 2*v + 3*x + 35 - 175, 5*v + 5*x - 340 = 0. Calculate the highest common factor of c and v. 16 Let h(a) = 7 + 131*a**3 - 10*a**2 - 3*a**2 - 130*a**3 + a. Let b be h(13). What is the greatest common divisor of 5 and b? 5 Let n be (-1)/(-3) + 94/6. Let z be (48/(-9))/((-18)/135). Calculate the greatest common factor of n and z. 8 Suppose -5*o + 3*o = -36. Let p(d) = -d**3 - 3*d**2 - d. Let s be p(-2). Let u(q) = -14*q - 10. Let b be u(s). What is the greatest common factor of o and b? 18 Let c = -1991 + 4917. Calculate the highest common factor of 22 and c. 22 Let i(y) = -y**2 - 8*y - 7. Let a = -48 - -41. Let o be i(a). Suppose o = q - 2*q + 4*j - 1, 20 = 2*q + 3*j. What is the greatest common factor of 77 and q? 7 Let k(d) be the first derivative of -d**2/2 + 9*d - 5. Let t be k(9). Suppose t = q + 5, 2*j - 2*q = 5*j - 50. Calculate the highest common factor of j and 140. 20 Suppose -116 = -5*w - 566. Let h = w - -95. Calculate the greatest common factor of 20 and h. 5 Let q be -10 + 1 + (897 - -12). What is the highest common divisor of q and 200? 100 Let a be ((-2)/(-4))/((-5 - 0)/(-1550)). Let z = a + -114. What is the greatest common divisor of 287 and z? 41 Let n = 529 + -519. What is the greatest common divisor of n and 135? 5 Suppose 80*h - 3060 = 65*h. Calculate the greatest common factor of 510 and h. 102 Suppose 0 = -4*i - 2*u + 296, -5*i + 376 = 3*u - 2*u. Calculate the greatest common divisor of 380 and i. 76 Let f(o) = o**3 - 7*o**2 - 4*o - 13. Let p be f(8). Suppose 0 = -p*y + 21*y - 96. What is the greatest common divisor of y and 72? 24 Let l(q) = 8*q - 280. Let n be l(38). Calculate the highest common factor of n and 42. 6 Suppose 0 = 5*x - 15, 21 + 3 = -3*z + 5*x. Let l be 2 + z/2*-18. Calculate the highest common factor of l and 261. 29 Let v = 296 + -286. Suppose -18 = -2*g - 0*g - 2*l, 0 = -3*g - 4*l + 31. What is the greatest common divisor of v and g? 5 Let l be (-6)/5*(-15)/(-3). Let v be (27/l)/((-3)/52). Suppose -2*p + 53 = p - a, 0 = 4*p - 5*a - v. What is the highest common divisor of 119 and p? 17 Let l(u) be the third derivative of u**6/120 + 7*u**5/30 + u**4/24 + 10*u**3/3 - 6*u**2. Let q be l(-14). What is the highest common divisor of q and 6? 6 Let i = -220 + 241. What is the highest common factor of 336 and i? 21 Suppose 0 = -3*z - 6. Suppose g - 5*l + 9 = 0, -3*g + 2*l - 3 + 2 = 0. Let r be 19 + g*(-3 - z). What is the highest common factor of 27 and r? 9 Suppose 5*q + s - 2162 = -793, 5*q - 5*s = 1345. Let h be (2*5)/(26/q). What is the greatest common divisor of h and 42? 21 Let a be -1 + 1 - 12/6. Let i(f) = -13*f - 4. Let d be i(a). Suppose d = 2*p - 132. Calculate the greatest common divisor of p and 11. 11 Let o = 11 - 7. Suppose -4 = 3*j + 2, -54 = -o*n - 3*j. Suppose m = -0*m + 45. What is the greatest common divisor of m and n? 15 Let u be 112/(12/3 + -2). Calculate the highest common factor of u and 40. 8 Let b(k) = 46*k**2 - 2*k + 1. Let w be b(1). Let h = 149 - 144. What is the highest common divisor of h and w? 5 Let l(c) = -c + 1. Let f be l(-7). Let b be (-17)/(-4) + (-2)/f. Suppose b*j - 513 + 153 = 0. Calculate the greatest common divisor of 10 and j. 10 Let s = -240 - -312. What is the greatest common factor of 72 and s? 72 Let l(w) = -8 + 0*w + 5 - 2 + 2*w. Let a be l(9). Calculate the greatest common factor of 104 and a. 13 Let g be 2/(12/60*(-3)/(-57)). What is the greatest common divisor of 38 and g? 38 Suppose x + 30 = 3*x. Suppose 4*p - 3*d = p + 3, -5*p = 5*d - x. Suppose -2*j + p = 0, -5*h + 238 = j - 3*j. Calculate the highest common factor of h and 16. 16 Let s be (-3 - (-2)/2) + 5. Suppose -s*r - 14 = 2*g - 41, -g - 25 = -2*r. Let c = 0 + 77. Calculate the greatest common divisor of c and r. 11 Let c(a) = -2*a**2 - 74*a + 125. Let x be c(-38). Calculate the greatest common factor of 91 and x. 7 Suppose -3*l + 12 - 3 = 0. Suppose -l*j = 5*t - 36, -18 = 3*t + 4*j - 44. Calculate the highest common factor of 9 and t. 3 Let f be 63/231 - 998/(-11). What is the greatest common divisor of 63 and f? 7 Suppose 2*q = -q + 48. Let l be -7*6*5/(-70). Suppose -j + 157 = l*r, -4*r = j + r - 155. What is the greatest common divisor of q and j? 16 Suppose 0 = 5*a + 4*f - 4, -3*a + f + 12 = -4. Let y be -30*((-10)/a)/5. Suppose -4*u + 3*u = -y. Calculate the greatest common factor of 15 and u. 15 Let x = -474 - -528. What is the highest common factor of x and 459? 27 Suppose 6*p = p + 200. Suppose -3*l + 4*l = -4*z + 204, 0 = 3*z + 4*l - 166. Suppose -z = -23*v + 18*v. Calculate the greatest common factor of v and p. 10 Suppose 0 = -4*y + 3*n + 7, 5*n + 11 + 4 = 5*y. Let k be -9*(y - (0 - -1)). What is the greatest common divisor of k and 3? 3 Suppose -3*o + 127 = -62. Calculate the highest common factor of 14 and o. 7 Suppose -162 = -3*z + 39. Suppose -193 + z = -7*r. What is the highest common factor of 18 and r? 18 Suppose -74 = -b + 4*s, -2*s + 274 + 94 = 4*b. What is the greatest common divisor of 846 and b? 18 Let j(g) be the third derivative of 0 - 2/3*g**3 + 0*g - 1/60*g**5 + 5/24*g**4 - 7*g**2. Let l be j(3). What is the highest common divisor of l and 4? 2 Let v be (9/6)/((56/2640)/7). Calculate the greatest common divisor of v and 55. 55 Suppose -2*j + 2*q + 3 - 23 = 0, 2*q = 4. Let k(d) = -4*d + 10. Let r be k(j). Let v be (17 - -4)*14/21. Calculate the greatest common factor of v and r. 14 Let c(o) = 33*o + 27. Let i be c(6). Calculate the greatest common divisor of i and 100. 25 Let z be 8/20 - (-4576)/110. Calculate the highest common factor of 30 and z. 6 Suppose 0*f - 4*f + 276 = 0. Suppose -f = 3*m - 3*c, -181 = 5*m - c - 46. Let a = -14 - m. Calculate the greatest common divisor of 35 and a. 7 Let z be (1 - 3)*(0 + -81). Calculate the greatest common divisor of 18 and z. 18 Suppose -60*a + 65*a - 315 = 0. Calculate the greatest common factor of a and 168. 21 Suppose -74 = -3*f + 34. Suppose l - f = -3*l. Calculate the highest common factor of l and 72. 9 Suppose -p + 4 = 0, -2*v + p = -7*v + 9. Suppose -v = -k + 7. Let h = -815 - -817. What is the highest common factor of k and h? 2 Suppose 7*d - 4*d = 5*a + 23, -2*d + 3*a = -14. Suppose 0 = x - d, -4*n + 5*x = -3*n - 31. What is the highest common factor of n and 396? 36 Suppose 5*x + 4*m - 26 - 88 = 0, 49 = 2*x + 5*m. Suppose p - x = 20. Suppose 4*k + 12 = z + 3*z, -2*k = -6. Calculate the greatest common factor of z and p. 6 Let j be 5/(7/(-420)*-6). What is the highest common divisor of 125 and j? 25 Let u(y) be the second derivative of -y**3 + 8*y + 0 - 3*y**2 - 1/12*y**4. Let h be u(-4). Calculate the greatest common factor of 10 and h. 2 Suppose -k - 73 = -3*k + m, 4*m - 140 = -4*k. Let b(s) = 27*s. Let y be b(2). What is the greatest common divisor of k and y? 18 Suppose 8*w = 13*w - 20. Suppose -8 = -2*x - c + w*c, -3*c = -5*x + 29. Calculate the highest common divisor of 7 and x. 7 Let y(j) = -j**3 + j**2 + 9*j - 1. Let o(i) = i**3 - i**2 - i + 1. Let u(b) = -3*o(b) - y(b). Let f be u(-3). Calculate the greatest common factor of 11 and f. 11 Suppose 8*h - 41 = 455. Suppose -9*c + h + 10 = 0. What is the greatest common factor of c and 32? 8 Let n(x) = x**2 - 19*x + 98. Let k be n(13). Let p be 9/(1*1/2). Let w = k - p. Calculate the highest common divisor of 8 and w. 2 Suppose -36*j = -32*j + 1180. Let t(s) = -2*s**3 - s**2 + 1. Let o be t(1). Let w be o/3 - j/15. Calculate the highest common divisor of 19 and w. 19
-16 + -0.83 -16.83 Work out 0.06 - 253. -252.94 Add together -10017958 and 1. -10017957 Calculate -0.21 - 0.03764. -0.24764 Add together 0.3 and -1050. -1049.7 Work out -2.4 - -1.18. -1.22 What is 2291 + -1074? 1217 What is 13.6 less than -1.3? -14.9 Put together 674.9 and -0.396. 674.504 0.001 + -260485 -260484.999 What is 1.1 take away 0.053? 1.047 -0.0863571 + -0.3 -0.3863571 Work out -5 + 15.6. 10.6 What is the distance between -10752 and 130? 10882 What is the distance between 3323 and -0.1? 3323.1 What is 0.4 minus 0.12063? 0.27937 What is 13 plus -131022? -131009 What is -0.02 minus 0.0431? -0.0631 Calculate 11159 - 3. 11156 What is 1.37781 - 13? -11.62219 What is 2.53 less than 818? 815.47 What is 6061 minus 0.096? 6060.904 What is the difference between 1406 and 38.06? 1367.94 What is 15056 take away -6.4? 15062.4 What is 4 less than 11322.02? 11318.02 Calculate -6.9 - -0.097. -6.803 Subtract 252.3 from 1.51. -250.79 What is -13.86 + -1? -14.86 Work out 4 - 49248. -49244 1.85+-11.9 -10.05 What is 28 plus -66? -38 What is -0.3 less than -47255? -47254.7 2.2 + 125 127.2 Add together -6697 and 4. -6693 Calculate -5 - -3140018. 3140013 -0.83+0.3 -0.53 Add 48 and 0.0574. 48.0574 What is 1 + 1651? 1652 Work out 2.7 - 417. -414.3 Work out 70.69 + -5. 65.69 Add together -2151 and -1.49. -2152.49 -26523.6 + 3 -26520.6 Work out 0.01 + 6303. 6303.01 What is the distance between -5640 and -0.2? 5639.8 What is the difference between -60166.4 and -0.19? 60166.21 Subtract -364 from 442. 806 Calculate -1499 - -0.88. -1498.12 Add 19412 and 2. 19414 What is -1 take away 7.52? -8.52 Add 0.6 and 929545. 929545.6 Total of -0.2 and 391. 390.8 What is -4 - -54496? 54492 Total of 35.6 and 0.7. 36.3 What is the difference between 278 and -7.6? 285.6 Work out -4 - 0.2845. -4.2845 Subtract 5.1 from -196.1. -201.2 What is -38 minus 16686? -16724 What is 2.32651 less than -9? -11.32651 What is the distance between -3 and -8307? 8304 Subtract -0.28 from 8501. 8501.28 6+191 197 8.2+-59.9 -51.7 Add 0.1 and 204. 204.1 Add together -0.5 and 1593. 1592.5 -4.392 + -0.254 -4.646 Put together -0.58 and -41367. -41367.58 29 - 78.2 -49.2 Add together -3287 and 0.3. -3286.7 What is -5 take away 5.345? -10.345 Sum -189 and -0.5. -189.5 Work out -22962 - -17.1. -22944.9 Put together -0.49 and 3.3. 2.81 What is the difference between 42.777 and -10? 52.777 What is the difference between 0.164 and 7.263? 7.099 What is 0.01 - -70? 70.01 What is the distance between -3.411 and -3? 0.411 Add -343 and -175. -518 Work out -0.4 - 6996. -6996.4 What is -25 less than -16546? -16521 What is 0.44305 plus -10? -9.55695 Subtract -1426.3 from 575. 2001.3 What is the difference between 0.35 and -212.7? 213.05 What is -11583 - 2? -11585 Add together -49 and 19869. 19820 Subtract 3.033 from -3. -6.033 Sum 3.2 and -8.73. -5.53 What is 0.7589 take away 0.122? 0.6369 What is 36 take away 52? -16 What is -7.38116 - -0.08? -7.30116 Work out -4 - 0.530542. -4.530542 Add together 1288 and -46. 1242 Subtract 2095 from -1. -2096 2079 - 24 2055 Work out 2.27996 - -0.1. 2.37996 What is 3949 minus -3.5? 3952.5 What is 101 - -22.6? 123.6 Subtract -8.75639 from -0.01. 8.74639 Sum 1.716 and -25.4. -23.684 Work out -8.5671 + -1. -9.5671 What is -5.791 minus 0.2? -5.991 What is -68845 take away -0.5? -68844.5 What is 5158.58 plus 0.5? 5159.08 Work out -0.4 - -167. 166.6 What is 0.1986 plus -0.3? -0.1014 What is -4 + 8430? 8426 Total of -1 and -25239. -25240 What is -3 take away 10056? -10059 Add 23.3 and -57. -33.7 Subtract -786 from 53. 839 Total of -3 and -1.4. -4.4 What is the difference between -1648 and 0.2787? 1648.2787 Work out -9.63 - 2. -11.63 Total of -234 and -7. -241 Add 4 and 81644.5. 81648.5 What is 0.01 less than 226? 225.99 What is 2 minus 5.4573? -3.4573 What is 36257 plus 0.4? 36257.4 Sum 15935 and 0.05. 15935.05 Sum -0.0498 and 86. 85.9502 Calculate -614 - -4.1. -609.9 0.737 - 1258 -1257.263 Calculate 452.5 + -32. 420.5 What is the distance between 0.2972 and 2? 1.7028 Subtract 0.4 from 2149. 2148.6 Put together 0.389 and 0.11. 0.499 What is -38 + 66074? 66036 Add -15 and 56.043. 41.043 Calculate 3 - -346. 349 Put together 5 and 0.0192. 5.0192 What is the difference between -3 and -0.18? 2.82 Sum -2248 and -0.082. -2248.082 -152 - -3810 3658 What is -2 minus 994? -996 What is 6.8 take away -0.4? 7.2 Total of 38.5 and -0.4. 38.1 Sum 0.114 and 799. 799.114 What is -15.5 minus -1.055? -14.445 What is 1 + 53.18? 54.18 What is the distance between 0.08 and -3? 3.08 Calculate 0.5 - 88391. -88390.5 Calculate 10446 + 0.5. 10446.5 Work out 1554 - 2843. -1289 Calculate -2.9 - 11. -13.9 Subtract -1917.5 from -36. 1881.5 What is the distance between 0.9 and -27.1? 28 Add together 40 and 0.233. 40.233 -0.1 + 282876 282875.9 0.5+157.8 158.3 Total of -0.2547 and -2. -2.2547 Sum 1.43607 and -3. -1.56393 What is 2 minus 1030276? -1030274 Subtract -153616 from 0.2. 153616.2 What is -18 + -1.3? -19.3 Total of -0.08 and -517. -517.08 Sum -10 and -0.8411. -10.8411 Work out 0.5 + -8591. -8590.5 Add together 15 and 253.081. 268.081 Work out 0.4 - -378157. 378157.4 Put together -0.474 and -0.08. -0.554 -0.3 - -50.5 50.2 -10.1 - -0.35 -9.75 What is 172476 plus 3? 172479 What is the difference between -6.53 and -4? 2.53 Sum 0.3912 and 0.8. 1.1912 What is 0.4 take away -0.73144? 1.13144 Add together 5 and 0.34855. 5.34855 What is -0.0333 take away -0.5? 0.4667 What is -244734 less than -0.5? 244733.5 -13.91 - 3.1 -17.01 Add 0.1258 and 0.03084. 0.15664 What is the difference between -4 and -1211.7? 1207.7 What is the difference between -192 and -796? 604 Sum 1554642 and -3. 1554639 What is 0.3 + 67895? 67895.3 Sum -563 and -1.9. -564.9 What is 0.2 plus -256? -255.8 What is -0.3 plus -4.4517? -4.7517 Work out 0.018124 - -1. 1.018124 Subtract -5 from -4735564. -4735559 Calculate -5 + -792851. -792856 0.5+1063 1063.5 Sum 9711 and -17. 9694 What is the distance between 15 and 21265? 21250 Subtract 2201 from -220. -2421 Calculate 1 - -918.42. 919.42 0.41 - 15 -14.59 Work out -0.3 + 41367. 41366.7 Calculate -1567 + 248. -1319 What is 393 plus 0.51? 393.51 What is 19.6675 - 8? 11.6675 Sum -0.04123 and 6. 5.95877 Work out -0.013564 + -1. -1.013564 Calculate -0.4 - 0.0914. -0.4914 Add together 0.04913 and -3. -2.95087 Work out 0.0241 + -0.057. -0.0329 Add -1904.68 and 2. -1902.68 What is 0.1824 minus 4? -3.8176 Subtract 19678 from -0.4. -19678.4 Put together -22 and -375. -397 What is -745445 less than 1? 745446 What is -11.7483 take away -0.04? -11.7083 Work out -80 + 1556.2. 1476.2 What is -207571.7 + -0.5? -207572.2 Work out 0.135 - -18513. 18513.135 Sum 47 and 19.6. 66.6 Sum 2855 and -0.1905. 2854.8095 Subtract -0.1 from 874. 874.1 Subtract 46222 from 0.54. -46221.46 What is 4 + -1111952? -1111948 0.07031+-0.4 -0.32969 What is 17 minus 22659? -22642 What is -2.01 plus -113.1? -115.11 Subtract -1245.3 from -0.1. 1245.2 Put together 4 and -2397. -2393 What is the distance between 5 and 81.7? 76.7 What is 0.002 less than 12? 11.998 Subtract 0.05424 from -0.118. -0.17224 What is the distance between -36 and 173? 209 -0.1+-1.7702 -1.8702 Calculate 0.5 - 121. -120.5 What is -3 take away 0.35? -3.35 Calculate -42 + -0.8. -42.8 What is -0.1 less than -7766? -7765.9 What is the difference between -0.07 and 3.32? 3.39 What is -0.0458 - -1.8? 1.7542 What is -477 minus 2? -479 What is the distance between -5 and 132? 137 What is the difference between -966 and -0.886? 965.114 What is 54 take away 290? -236 Calculate 0.7 + -4550. -4549.3 What is -10 take away -29203? 29193 What is the distance between 4546.8 and -4? 4550.8 What is -0.3097 minus -1? 0.6903 Total of 93.6 and -5. 88.6 Total of 1082.9657 and 0.4. 1083.3657 What is 0.058 less than -3301? -3301.058 Total of 191147 and -29. 191118 What is the distance between -1.5 and 1197? 1198.5 Total of -0.749 and 903. 902.251 What is -341 - -5? -336 What is -1.13 plus 2064? 2062.87 Work out 524 - -13.1. 537.1 Work out 0.07494 - 0.0597. 0.01524 339 - -712 1051 Calculate -2 - -26636. 26634 Work out -278157 - -7. -278150 What is 0.060659 - -4? 4.060659 What is the difference between -34179 and 0.1? 34179.1 Add together -0.3478 and -0.1. -0.4478 -8.8 - 0.087 -8.887 What is -209 - 0.02? -209.02 What is -1 - 194.7? -195.7 Calculate 27 - -140866. 140893 What is the distance between 1870 and 4? 1866 What is 2580 plus 0.5? 2580.5 Calculate -1.125 - 167. -168.125 What is -3644.2 + -6? -3650.2 What is 221 + -183? 38 What is -207 - 43? -250 What is the difference between -147 and -2.2? 144.8 134323 + -3 134320 Put together -20 and -14.2393. -34.2393 Add 1 and 44325.7. 44326.7 -0.6 + -11 -11.6 What is -0.02 take away 64220? -64220.02 What is the distance between 18.0348 and 1? 17.0348 Subtract -61 from -27460. -27399 -2.1 + 9 6.9
Let r be (-56)/(-187) - 14/119. Suppose -5*k = -3*i + 7, -4*k - 3 = 2*i + 7. Do r and k have the same value? False Let b be 4/6 + (-40)/(-12). Suppose -2 + 4 = 2*l - 2*c, 3*l + b*c = 10. Suppose -l*m = 2 + 2. Are m and -2 non-equal? False Let m be (-2)/26*11/(66/12). Which is bigger: m or -3? m Let o(k) be the first derivative of k**2/2 - k - 1. Let r be o(4). Suppose 0 = r*i - 6*i - 6. Is i > 0? False Let h = 7 + -6. Let j = 10 + -8.6. Let k = j - -0.6. Is h > k? False Let g = 645/236 - -1/59. Which is smaller: g or 2? 2 Let g = 1.5 + -0.5. Let i = g - 0.6. Let q = 3 + -3. Do i and q have the same value? False Let v be -3 - 0/1 - -15. Is 12 at least v? True Let b(r) = r**2 + 4. Let w be b(4). Let y be ((-16)/w)/(2/(-10)). Let x be 1/y*(-12)/(-9). Is x at most 1/4? False Suppose 0 = -2*k - 130 - 4. Let l = 137/2 + k. Let o = 58 - 57. Which is smaller: o or l? o Let n = 0.03 + -0.53. Let o = 0.8 - n. Which is smaller: -2 or o? -2 Let r(z) = z**2 - 5*z + 9 - z - 2. Let c be r(5). Let u be (-2)/10 - 8/(-40). Is c at most u? False Let h = 4 - 3. Let o = h + 5. Let d be 2/20 - 3/o. Is -0.3 bigger than d? True Let n = 363 + -528. Let x = n - -60223/365. Let g = 712/3285 - x. Which is bigger: g or 0? g Let m(t) = t**3 - 6*t**2 + t + 6. Let g be m(6). Let q = 19 - g. Which is smaller: 6 or q? 6 Let u = -0.04 - 0.16. Is u >= 1/15? False Let a be ((-3)/(-1 - 0))/1. Suppose 4*x = a*j + 2*j - 9, 0 = -x - j + 9. Suppose -x = 3*r + r. Which is bigger: -0.2 or r? -0.2 Suppose 3 = 3*v - 0*v. Which is bigger: 2 or v? 2 Let g = 13 + -7. Suppose 4*m + g = s + 3, -2*s + 6 = -3*m. Which is smaller: -3/13 or m? -3/13 Let w(p) = -p**2 + 2*p + 4. Let r be w(3). Let g be (r + 3)*14/8. Does 6 = g? False Suppose 2*f = -a - 2, -3*f - 17 + 1 = -5*a. Let g(j) = -j**3 - 3*j**a - 4*j - 2 + 3*j**2 + 3*j + 3*j**2. Let k be g(2). Is -2/7 >= k? False Let w = 7 - 3. Suppose 3*f - w*f = -5. Suppose -21 = 2*a - a + 5*v, 4*v = -f*a. Is a at most as big as 5? True Let g = -376 + 100. Let i be 3 + (g/32)/3. Let h = 0 + -1. Which is smaller: i or h? h Let s be (-52)/(-91) + 6/(-7). Do s and 18 have the same value? False Suppose -5*h + 5*z + 10 = 0, -2*h - 3*z = -2*z - 13. Suppose -h*a = -10*a - 4*q + 10, 6 = 3*a - 3*q. Suppose a*r - 4*l = l, 3*l = 5*r. Is 2/3 smaller than r? False Let v = 22 + -10. Is v bigger than 13? False Suppose 4*m + w - 299 = 0, 0*m - 2*m = 2*w - 148. Let c = -528/7 + m. Let o be (6 + -4)/(-3 - -1). Is o <= c? True Let g = 28.98 + -29. Let l = 0.2 - 0.3. Which is bigger: l or g? g Let g be (710/25)/((-7)/2). Let z = g + 42/5. Is 2/7 < z? False Let q be (-1)/3*(-54)/6. Suppose 2*d + q*u - 15 = 0, -3*u + 21 = 5*d - u. Which is smaller: d or 2? 2 Let p = 891/5 - 179. Which is bigger: p or -0.04? -0.04 Let o be (-18)/5 - 2/5. Let z = 3 + o. Let f = 6 - 8. Which is greater: z or f? z Let k = -6023/27 - -223. Let r = 19/108 - k. Which is bigger: 1 or r? 1 Suppose 2*v + 2*a + 62 = -2*v, 4*v = 3*a - 47. Which is smaller: v or -15? -15 Let s = 4 + 0. Which is smaller: s or -3? -3 Suppose -2*y - 3*p = -9, -3*p + 21 = 4*y - 0*y. Suppose 0 = -3*r + 4*l + 17, r - l - y = 2*r. Do r and -1 have different values? False Suppose -4*t + 7 = -3*d, -4*t + 6 = 2*d + 4. Let u be 6*(d + 8/6). Suppose 2 - 2 = -4*p. Is u less than or equal to p? False Let i = 4.09 + -0.09. Let g = i + -4.06. Let n = 0.06 + g. Which is bigger: n or -2? n Let g(c) = 5*c + 3. Let r be g(9). Which is bigger: 47 or r? r Let i be 57 - (1 + (-4)/2). Let s be i/(-10) + 2/5. Let b = s + 6. Which is smaller: b or 2? b Let y = 4311 - 17385/4. Let s = y - -35. Is 4 > s? True Suppose -4*u - 5*t = 17, -u - 2*t - t = 13. Is -1 at most u? True Suppose -5*s + 3 = -2. Suppose 3*c = -0 + 6, 2*c = 4*b + 8. Let r(y) = 2*y**2. Let l be r(b). Which is smaller: s or l? s Let w = 4 - 8. Let q = w + 2. Let g = -4 + 3. Which is smaller: q or g? q Suppose 61 - 361 = 5*m. Let i be (2/m)/(4/8). Which is smaller: i or 0? i Suppose k = 2*k - 5. Suppose 0 = -k*c + 4*o - 21, -13 = -4*c + 5*c - 3*o. Is 2 greater than or equal to c? True Suppose 2*g + 5*f - 15 = 0, -g - 2*f + 0*f = -5. Suppose -j + 9 + 4 = 2*z, 0 = -5*z + 4*j. Let h be z*-1*3/18. Does h = g? False Let y = 25 - 21. Let f be (8/(-48))/(2/(-30)). Which is smaller: f or y? f Suppose -11 + 6 = 5*m. Which is smaller: m or 4/9? m Let n be 2/((-2)/(-2)) - 3. Let j be (4/20)/(n/(-5)). Is 2 less than j? False Let t be 0*(1 - (-25)/(-20)). Is 2/91 greater than t? True Let i be 85/10 - (-2)/(-4). Let b be 2/i - (-22)/8. Suppose 3*g + m - 12 - 8 = 0, -b*g + 5*m - 10 = 0. Is g less than or equal to 5? True Let h(d) = d**3 - 5*d**2 - 6*d - 5. Let k be h(6). Let a be ((-4)/(-5))/((-2)/k). Is a at least as big as 3? False Let s be 15*((-7)/35)/(3/9). Is s <= 1? True Suppose -z = -o - 1, -o - 3 = -2*o. Suppose -2*i = -z*i + 2. Let u = 0 + 0. Which is bigger: i or u? i Let g = 31 + -30. Is -4/9 smaller than g? True Suppose 5*s = s + 20. Let r = -5 + s. Let j be ((-36)/14 - -2)/(-1). Which is smaller: r or j? r Let f(l) = l**2 + 22*l + 20. Let a be f(-21). Is -15 at most as big as a? True Let w = -3/214 + 367/10914. Which is greater: 1 or w? 1 Let n = 0.1 - 0.1. Let c = 0.1 + n. Suppose 3*z - 1 = 2. Which is bigger: c or z? z Let p = -27 + 29. Is -2 < p? True Let y be ((-27)/6)/(3/6). Which is smaller: -10 or y? -10 Let d = -117/4 - -811/28. Let a be ((3 - 1) + -2)/(-2). Suppose -5*y + y = a. Which is smaller: y or d? d Let x(n) = -n**2 + 8*n - 3. Let d be x(5). Let m be 3/d - (-2)/(-8). Which is smaller: m or -2? -2 Let v = 236 + -2594/11. Let b = 5 - 3. Let g be (-2)/b*2 - -3. Is g > v? True Let s(b) = b - 8. Let x be s(0). Let g = x - -9. Is 0 >= g? False Let m = -41 + 41.21. Let s = m + -0.01. Which is smaller: s or 1? s Let m = 30 + -59/2. Let j(o) = -o. Let g be j(-2). Which is smaller: g or m? m Let d = 2 - 0. Let f be d/84*174/(-8). Let l = -3/8 - f. Which is greater: -1 or l? l Let h(r) = -r - 1. Let p be h(2). Let x be (p - (-9)/3)/(-2). Let v = 23 - 68/3. Which is smaller: v or x? x Let f(h) = -3*h - 6. Let p be f(-4). Let o(t) = -t**2 + 6*t + 2. Let l be o(p). Let s be (l + -3)*(2 - -1). Is s equal to -1? False Suppose -d - 60 = 4*d. Let n = -25/2 - d. Is 1 at most as big as n? False Suppose -8 = -3*f + 1. Suppose 2*x + f = -x. Suppose -5*b + 6 = -2*q + 6*q, 0 = -b - 4*q + 14. Which is bigger: x or b? x Let c(b) be the first derivative of b**4/4 + 8*b**3/3 + 5*b**2/2 - 9*b + 13. Suppose -5*d = 10, 3*r + 2*d = -r - 32. Let p be c(r). Which is greater: p or 4? p Let d be (-4)/14 - 6/(-21). Are d and -1/13 unequal? True Let b be 28/245*(-5)/(-6). Is 1 at most as big as b? False Let m = 1227976/35 - 35092. Let y = -32/5 - m. Which is greater: 1 or y? 1 Let b(m) = -m**2. Suppose c + 4 = -c. Let o be b(c). Is -4 equal to o? True Suppose -j + 15 = 53. Let g = -194/5 - j. Suppose 3*q = -i - 12, -i + q + 4 = -4*i. Which is greater: g or i? i Let s be (13/26)/(1/(-12)). Let h be 2 + s + (1 - 5). Is -9 > h? False Let m be (4/(-10))/((-10)/(-50)). Let n = m - -2. Let u = n + 1. Which is smaller: u or 0.2? 0.2 Let q(v) = v**3 + 19*v**2 + 17*v - 8. Let w be q(-18). Let y(c) = 12*c**3 - 2*c**2 + c. Let z be y(1). Which is smaller: w or z? w Let c be -2 + (-27)/(-12) + 636/(-112). Which is smaller: -4 or c? c Let o = -28 + 26. Which is greater: o or 1? 1 Let f be (4/(-3))/(40/(-30)). Is f smaller than 0? False Suppose 0 = q - 4*q - 48. Is q not equal to -29/2? True Suppose -43 = -5*h - 4*f, -4*h = f - 6*f - 18. Which is smaller: h or 8? h Suppose -2*g - 9 = v, 5*g + 2 = -4*v - 19. Let q = 0 + v. Which is smaller: q or 0? 0 Let y be -1 - -4 - (-72 + -4). Which is smaller: y or 78? 78 Let w(l) be the third derivative of -1/24*l**4 - 2*l**2 + 3/2*l**3 + 0*l + 0. Let f be w(9). Which is smaller: 2/9 or f? f Let i(y) = -2*y**3 - 2*y**2 - 3*y - 2. Let s be i(-1). Suppose -s = 2*q + 1. Let l = -1747/10 + 175. Which is greater: l or q? l Let k = -7/15 - -241/420. Which is bigger: k or -1? k Let f be (-52)/(-12) - 8/6. Suppose -5*d - 5*a = 0, a - 4*a = -5*d. Suppose d*j = -j + f. Which is smaller: j or 4? j Let v be ((-2)/(-6))/(1/9). Suppose 3*k = -v*f + 9, k + 2 = -f + 5*k. Suppose 0 = -f*z + 6. Are 3 and z unequal? False Suppose 17 = -8*t - 7. Does t = -2/15? False Let g(m) = 2*m + 15. Let y be g(-7). Suppose h + 2 = -y. Which is bigger: -1 or h? -1 Let d = 37409 + -9165146/245. Let v = -1044 - -51154/49. Let r = v + d. Is 1 smaller than r? False Let t be -2 + (1 - 2 - -3). Suppose -h - 9 = -5*x, 2*x - 7*x + 2*h + 13 = t. Does x = 2? False
Express -5 + 36*c + 43*c - 80*c as y + m*c and give m. -1 Rearrange -7 + 13*j + 14 - 11 + 4*j to the form x*j + a and give x. 17 Express (-5*x + 2*x + 2*x)*(-3*x**3 + 0*x + 0*x) - 3*x**2 + 12*x**2 + 16*x + 2*x**4 - 10*x**2 in the form w*x**4 + z*x**2 + c + h*x**3 + g*x and give w. 5 Express 128*l - 86 + 163 - 78 in the form y + q*l and give q. 128 Express 2*g**2 - 3*g**2 + 5*g**2 + g**2 - 150*g**3 - 7*g**2 in the form b + v*g**2 + c*g + w*g**3 and give w. -150 Rearrange 15*b**2 + b - 5*b**2 + 13*b**4 - 7*b**2 + b**2 + 2 + b**2 to the form y*b**4 + f + j*b**2 + u*b + w*b**3 and give u. 1 Rearrange (-44*y**2 + 77*y**2 - 59*y**3 - 35*y**2)*(1 + 2 - 5)*(-5*y + 3*y + y) to o + t*y**3 + j*y**2 + p*y + s*y**4 and give s. -118 Express (1 - 2*j**2 - 1)*((-5 + 2 + 1)*(-3 + 6 - 1) - 1 - 3 + 10 + (-4 + 0 + 3)*(1 - 3 - 6)) as a*j + u*j**2 + l and give a. 0 Express (2 - 2 + 4*z)*(z - 3*z + 4*z + (-3 + 6 - 1)*(2 - 2 + z) + 8*z + 5*z + 11*z) in the form p*z + w + b*z**2 and give b. 112 Express -2*d**3 + 56*d - 2 - 65*d + 27*d + d**2 - 2*d**3 + 2*d**3 + d**3 + (-4 - 2*d + 4)*(2*d**2 - d**2 + d**2) as r*d**2 + m + h*d**3 + x*d and give x. 18 Rearrange -1338 - 7*q + 1404 + 3*q to t + u*q and give t. 66 Rearrange 40*f - 403*f + 832*f + (-1 + 2 + 1)*(3*f + 0*f - 2*f) + f - 1 + 1 to o*f + h and give o. 472 Rearrange 2553*m**2 + 198*m**2 - 186*m**2 to the form b*m + h*m**2 + y and give h. 2565 Express -1 + 15*l**4 + l**3 - l**3 + 58*l**2 - 57*l**2 in the form r*l**2 + d + h*l + c*l**3 + g*l**4 and give g. 15 Rearrange -2 - 3*z**4 - 4 - 1 + 0 + 3 - z**2 - z to the form c*z**3 + s*z**4 + x*z**2 + g*z + t and give g. -1 Express -6*s + 0 + 8 - 4*s + 6*s**2 - 10 + 14*s in the form d*s + x*s**2 + c and give d. 4 Express 51*d**2 + 23 - 91*d**2 + 38*d**2 in the form o*d**2 + a*d + w and give w. 23 Rearrange 3*a + 2*a - a + (-a - 2 + 2)*(11 - 8 - 9) + (-a + 2*a - 3*a)*(1 + 2 - 5) - a + 2 - 3*a + 3*a to b + z*a and give b. 2 Express (j - 2*j + 0*j)*(2*j - 2*j + 2*j**2) + (3 - 2*j - 3)*(-2 + 2*j**2 + 2) + 5*j**3 - 5*j**3 - j**3 in the form c + h*j**2 + a*j**3 + n*j and give c. 0 Express -60*o**2 + 29 + 25 - 51*o**2 - 53 + 3*o as v + d*o + c*o**2 and give c. -111 Express -224*r - r + 30*r as x*r + k and give x. -195 Rearrange (o**2 + 2*o - 2*o)*(-32 + 25 + 28) - o**2 + 0*o**2 + 0*o**2 to the form a*o + r + s*o**2 and give s. 20 Rearrange (2675*a**2 - 2136*a**2 + 2446*a**2)*(-3*a + a + 0*a) to the form x*a**3 + m*a**2 + n + o*a and give x. -5970 Rearrange -73*m + 224*m - 74*m - 80*m - 56 to the form y + r*m and give r. -3 Express (5 - 5 - 16*z**2)*(2 - z - 2) + 11*z**3 - 24*z**3 - 13*z**3 - 3*z**2 - 2*z**3 + 3*z**2 as p*z**2 + r*z + l*z**3 + x and give l. -12 Rearrange 7*l**2 + 6*l**2 - l - l**3 - 8*l**2 - 6*l**3 to the form g*l + p + x*l**3 + a*l**2 and give g. -1 Express -q**4 + 2*q**3 + 5*q**4 - 21*q - 6*q**4 + 24*q as w + y*q + c*q**4 + x*q**3 + g*q**2 and give y. 3 Rearrange 346*c - 710*c - 4*c**2 + 3 + 353*c to the form g + h*c + x*c**2 and give g. 3 Express -8 + 0*u**2 - 4*u**2 + 10 in the form p*u**2 + s + t*u and give p. -4 Rearrange (-1 + 0*t - 4*t - t)*(-136 + 61 + 4) to a + q*t and give a. 71 Express 1624*b - 1618*b + 2*b**2 + b**2 + 3*b**2 + 1 in the form p*b**2 + j*b + f and give j. 6 Express 3*g - 10*g - g - 8 + 3 in the form t + o*g and give o. -8 Rearrange (-1 + a**2 - a**2 + a**2)*(-37*a + 75*a + 89*a) to the form o + n*a**3 + h*a + u*a**2 and give u. 0 Express (4 - 1 - 4)*(14*o - 109 + 109) - 5*o + 6*o - 3*o + (2 + 2 - 3)*(-o - 4 + 4 + (-3*o - 5*o + 3*o)*(4 - 1 - 1)) as w + s*o and give s. -27 Rearrange (4 - 4 + m**2)*(-2 - 102*m**2 + 2 + 107*m**2) to the form g*m**3 + z*m**2 + v*m**4 + t + l*m and give v. 5 Express -311*z**2 + 214*z**2 - 141*z**2 as j*z + h*z**2 + b and give h. -238 Rearrange -4*a**4 + 0*a**4 + 5*a**4 - a**3 + (22*a - 113*a - 37*a)*(-2*a**3 + a**3 - a**3) to the form h*a**4 + l*a**2 + w + t*a**3 + q*a and give h. 257 Express -5222*y + 2611*y + 2612*y + 33 as c*y + u and give u. 33 Rearrange 50 - 22 + k**4 + 16*k**3 - 29 + k**2 - 2*k**2 to the form c*k**2 + y + z*k + u*k**3 + h*k**4 and give c. -1 Rearrange (-3 + 1 + 0)*((-3*c + 7*c - 2*c)*(152 + 496 - 136) - c + 3*c - 4*c) to the form r + f*c and give f. -2044 Rearrange (-3*n + n - 5*n + (-4*n + 3*n + 3*n)*(0 + 0 - 2))*(-41*n + 54*n - 34*n) to the form t + r*n + o*n**2 and give o. 231 Rearrange -46*l**4 - 127*l**3 - l**2 - 2*l**4 + 2 + 47*l**4 to the form h*l**4 + o*l**3 + f + w*l + k*l**2 and give k. -1 Rearrange (1 - 10*t**2 - 11*t**2 + 10*t**2)*(0 + 6 - 1) to k*t + q + s*t**2 and give s. -55 Express 7*n**2 - 24*n + 24*n + (0 + 2*n**2 + 0)*(-1 + 0 + 3) + 0*n**2 + 16*n**2 + 11*n**2 as r + t*n + d*n**2 and give d. 38 Rearrange -2*q + 9*q**2 + q**4 + q**3 + q**2 - 9*q**2 + 0*q**3 - 36 to the form f*q**3 + o*q**4 + x*q**2 + b*q + p and give f. 1 Express -6*b - 12 - 18*b + 18*b + 9 + 66 in the form y*b + z and give y. -6 Express -3*b**2 + 6*b - 9*b**2 - 1 + 16*b**2 - 6*b**2 + b**2 as k*b**2 + w + p*b and give w. -1 Express (-3*f + 3*f + f**2)*(1 - 4 + 1) + 2*f**2 - 7*f**2 + 11*f**2 + (4*f - 6*f + f)*(-3 + f + 3) as w + a*f**2 + d*f and give a. 3 Rearrange 2*g - 4 - 2*g**2 + 2 + g**4 - 6*g**2 - 2*g**3 + 3*g**2 to the form l*g**2 + c + s*g**4 + q*g + o*g**3 and give s. 1 Express -11 - 27*p + 23 - 3 - 11 as t*p + r and give r. -2 Rearrange 50*n**3 + 1 - 51*n**3 - 19*n**2 - 1 to m*n**3 + s*n + j*n**2 + g and give j. -19 Express -2*i**2 - 4 + 4 + (-24 + 9*i + 24)*(4*i + 0*i - i + (-7 + 2 + 3)*(-5*i + 3*i + 0*i) + 4*i - i - i) as d + w*i + v*i**2 and give v. 79 Express (-1 - 2 + 6)*(27*t - 30 + 65 - 37)*(-6*t**2 + 6*t**2 - 5*t**3) as c + j*t**4 + l*t**2 + x*t**3 + m*t and give x. 30 Express b**4 - b**4 - 4*b**4 + (2 - b**3 - 2)*(7*b - b + 0*b) - 6*b + 24*b**4 + 6*b in the form c*b**4 + p*b**3 + y + t*b + a*b**2 and give p. 0 Express (-7*r + 87 - 71*r + 80*r)*(r**3 - 2*r**3 + 0*r**3) as a*r**3 + f*r**2 + k + c*r**4 + o*r and give k. 0 Express 1296*j**2 - 6 - 8 - 1326*j**2 as h*j**2 + m + z*j and give m. -14 Rearrange -1738 - 3*b**4 - 2*b**4 + 1736 - b**3 to the form g*b**4 + y*b**3 + v*b**2 + r + t*b and give r. -2 Express 48831 - 48842 + y**3 + 2*y**4 + 13*y**4 as x + t*y**4 + z*y**2 + a*y + c*y**3 and give t. 15 Express (-9 + 9 - 14*o)*(3*o**2 - 9*o + 8*o + 4*o**2) in the form h*o**2 + p*o + x*o**3 + y and give x. -98 Rearrange -20 + 5*c**2 - 3 - 13 - 8*c**2 + c**2 to b + d*c**2 + s*c and give b. -36 Rearrange -18 + c - 26 - 122 - 20 - 21 to s*c + p and give p. -207 Rearrange 25 - 273*i - 23 + 665*i to o + m*i and give m. 392 Express -35*o - 28*o + 63*o + 185*o**2 in the form a*o + z + d*o**2 and give d. 185 Express (2*o**2 + 2*o**2 - o**2)*(-1 + 3 + 1) + 15*o**2 + 0*o**2 + 0*o**2 as t*o + c*o**2 + r and give c. 24 Express 0*s + s - 58397*s**4 + 2 - 8*s**3 + 0*s + 58396*s**4 in the form h*s**3 + l*s**2 + q + v*s + u*s**4 and give h. -8 Rearrange 2 - u**3 + 132*u - 67*u - 2*u**2 - 66*u - 1 + 2*u**4 to o + y*u**4 + m*u**3 + x*u**2 + s*u and give o. 1 Rearrange u**2 + 3 - 3 + (3*u - u - u)*(49*u - 68*u + 49*u) to x + a*u**2 + k*u and give x. 0 Rearrange (4*z - 2*z - 3*z)*(7*z - 296180 + 14*z + 296202) to the form f + x*z + r*z**2 and give r. -21 Express (-a + a - a)*(886 - 1485 - 1055 - 848 - 882) in the form n*a + m and give n. 3384 Express -23 + 1753*j - 28 + 51 as z*j + i and give z. 1753 Express 136*n - 10*n**2 + 1951*n**3 - 1948*n**3 + 10*n**2 as f*n**2 + d + b*n**3 + y*n and give f. 0 Rearrange 54*b - 8 - 19*b + 1 - 24*b to the form u + i*b and give u. -7 Express -332 - 319 + 663 - 3*a**3 + 0*a**3 as k*a**3 + s + q*a + h*a**2 and give s. 12 Express 32*w**2 - 193 + 31*w**2 - 61*w**2 as v*w + y + n*w**2 and give n. 2 Express 6*y - 7*y + 5*y + 10*y + 5 as z + f*y and give z. 5 Express -49*k**4 - k**3 + 3*k**3 - k**3 + 2*k**2 - 5*k**3 + 13*k**4 + 2*k in the form m*k**2 + w*k**4 + g + s*k + d*k**3 and give s. 2 Express (174*h**2 - 36*h**2 + 43*h**2 + 51*h**2)*(-2 + 0 + 1) in the form p*h**2 + y + z*h and give p. -232 Express (150*w - 756*w - 184*w - 549*w)*(1 - 1 + 2)*(-3 + 3 - 2) in the form z*w + i and give i. 0 Rearrange -5*h**3 + 3*h**3 - 5*h**3 + (6*h**2 + h**2 - h**2)*(-h - 1 + 1) + 3*h**3 + 0*h**3 - h**3 to g*h + m*h**2 + p + c*h**3 and give c. -11 Express 6*s + 2*s - s + (-2*s + s + 3*s)*(-2 + 0 + 3) - 3*s + 2*s + 5*s in the form b + w*s and give w. 13 Rearrange -473*j + 34 + 952*j - 477*j to i + l*j and give l. 2 Express 34*j - 48*j - 4*j - 72*j - 160*j in the form l + h*j and give h. -250
What is prob of sequence ddw when three letters picked without replacement from ywwydd? 1/30 Two letters picked without replacement from hhrioihoorhhihhhhrhh. What is prob of sequence ii? 3/190 Calculate prob of sequence ch when two letters picked without replacement from {d: 10, n: 3, h: 1, a: 2, c: 1}. 1/272 Two letters picked without replacement from ywjrpcy. What is prob of sequence ry? 1/21 Calculate prob of sequence oz when two letters picked without replacement from vvoaoffvoovzfvvooz. 2/51 Calculate prob of sequence iav when three letters picked without replacement from {i: 3, a: 5, v: 8}. 1/28 What is prob of sequence eup when three letters picked without replacement from epddufd? 1/210 Calculate prob of sequence qqq when three letters picked without replacement from qqqqqqqqqq. 1 What is prob of sequence xw when two letters picked without replacement from {x: 1, w: 1, g: 3}? 1/20 What is prob of sequence gh when two letters picked without replacement from guemghggg? 5/72 Four letters picked without replacement from nonnonioiinoiiii. Give prob of sequence nnin. 1/104 Three letters picked without replacement from cgtthh. Give prob of sequence htg. 1/30 Three letters picked without replacement from aafdadfddda. What is prob of sequence dda? 8/99 Two letters picked without replacement from {l: 1, d: 1, b: 2, t: 1}. Give prob of sequence lb. 1/10 What is prob of sequence aaa when three letters picked without replacement from aaaa? 1 Calculate prob of sequence kkm when three letters picked without replacement from tkgaakmgtkmf. 1/110 Two letters picked without replacement from {z: 5, f: 2, v: 2, k: 3}. What is prob of sequence vk? 1/22 Calculate prob of sequence ff when two letters picked without replacement from {z: 1, i: 2, f: 3, k: 1}. 1/7 What is prob of sequence ps when two letters picked without replacement from sspqqzsss? 5/72 Three letters picked without replacement from xauaunaxxxxxk. What is prob of sequence anu? 1/286 Three letters picked without replacement from {f: 6, t: 1, v: 1, x: 6, d: 4}. What is prob of sequence txx? 5/816 What is prob of sequence kkf when three letters picked without replacement from kfvvfkvvvkvvvkvv? 1/140 What is prob of sequence crcr when four letters picked without replacement from {r: 2, q: 7, c: 3}? 1/990 Three letters picked without replacement from eeeeeeoceeeeeeeeee. Give prob of sequence oec. 1/306 Calculate prob of sequence ddd when three letters picked without replacement from {d: 8, i: 1, g: 4}. 28/143 What is prob of sequence zti when three letters picked without replacement from {i: 1, t: 4, s: 2, z: 1, x: 1}? 1/126 What is prob of sequence qq when two letters picked without replacement from {q: 15, f: 3}? 35/51 Four letters picked without replacement from rrrlrjrlrrljj. Give prob of sequence lrlr. 21/1430 Four letters picked without replacement from {f: 2, t: 11, q: 2}. Give prob of sequence ttqq. 11/1638 Two letters picked without replacement from {l: 2, z: 1, i: 3, t: 3, d: 1, e: 1}. Give prob of sequence ze. 1/110 Two letters picked without replacement from {m: 8, h: 5, w: 4}. What is prob of sequence mh? 5/34 Two letters picked without replacement from lllnzllllzlnl. What is prob of sequence zz? 1/78 What is prob of sequence tu when two letters picked without replacement from otyjhutyjttooh? 2/91 Two letters picked without replacement from {a: 1, y: 2, q: 1, u: 7, r: 7}. Give prob of sequence ru. 49/306 Four letters picked without replacement from ggbadgbadbdgaxgbdgmg. Give prob of sequence xgmg. 7/19380 Four letters picked without replacement from {i: 2, k: 8}. Give prob of sequence kkki. 2/15 Three letters picked without replacement from mdn. What is prob of sequence mdn? 1/6 Calculate prob of sequence ss when two letters picked without replacement from ssmssmsss. 7/12 Calculate prob of sequence eezz when four letters picked without replacement from {t: 2, e: 3, z: 12}. 33/2380 Calculate prob of sequence hcc when three letters picked without replacement from hfffafcffffafgcfff. 1/2448 Calculate prob of sequence pe when two letters picked without replacement from eepe. 1/4 Calculate prob of sequence tbmt when four letters picked without replacement from btbtmmmttggt. 1/99 Calculate prob of sequence jj when two letters picked without replacement from {h: 5, j: 4, l: 3}. 1/11 Four letters picked without replacement from tvbvbtotvte. What is prob of sequence vttt? 1/110 What is prob of sequence baa when three letters picked without replacement from {a: 4, e: 1, h: 4, b: 10}? 20/969 Two letters picked without replacement from {g: 2, n: 10}. What is prob of sequence ng? 5/33 Three letters picked without replacement from csssccsccsssogssccs. What is prob of sequence sgs? 5/323 What is prob of sequence aaba when four letters picked without replacement from abbxaaxagaabaxga? 3/130 Four letters picked without replacement from hhlllhhhhllhhmllhhh. What is prob of sequence hlhh? 385/5168 Calculate prob of sequence by when two letters picked without replacement from yfbnrbfn. 1/28 Three letters picked without replacement from {w: 2, p: 12, l: 5}. What is prob of sequence lpl? 40/969 Calculate prob of sequence vwt when three letters picked without replacement from wxowwwwtttttttv. 1/78 Calculate prob of sequence ndrr when four letters picked without replacement from {l: 6, w: 2, r: 4, n: 2, d: 3}. 3/2380 Two letters picked without replacement from {i: 5, z: 1, j: 3, e: 3}. Give prob of sequence ee. 1/22 Calculate prob of sequence jy when two letters picked without replacement from {j: 4, w: 1, g: 3, y: 2, h: 2}. 2/33 Three letters picked without replacement from ixioyyyimwii. What is prob of sequence yyi? 1/44 Two letters picked without replacement from rreny. Give prob of sequence er. 1/10 Three letters picked without replacement from uuuccjjuu. Give prob of sequence jcc. 1/126 Calculate prob of sequence bdd when three letters picked without replacement from {p: 1, b: 1, f: 2, d: 4}. 1/28 What is prob of sequence tl when two letters picked without replacement from {u: 1, r: 1, w: 2, t: 1, l: 1, z: 1}? 1/42 What is prob of sequence fz when two letters picked without replacement from bwzzsfj? 1/21 Calculate prob of sequence pa when two letters picked without replacement from ssssspssssspssssapss. 3/380 What is prob of sequence xxdx when four letters picked without replacement from xxxxxxdxdxxxdx? 45/364 What is prob of sequence tgg when three letters picked without replacement from {g: 3, t: 1}? 1/4 What is prob of sequence mhr when three letters picked without replacement from {f: 2, m: 8, r: 1, v: 4, h: 4}? 16/2907 Four letters picked without replacement from {h: 12, l: 6}. Give prob of sequence lhhl. 11/204 Two letters picked without replacement from {l: 2, f: 2, k: 12, z: 1, j: 2, a: 1}. Give prob of sequence jl. 1/95 Two letters picked without replacement from ggiiggleegli. Give prob of sequence il. 1/22 What is prob of sequence pu when two letters picked without replacement from {u: 9, p: 11}? 99/380 Two letters picked without replacement from eeeeevvvve. Give prob of sequence ve. 4/15 Four letters picked without replacement from qqeygqcyycqcq. Give prob of sequence gqye. 1/1144 Four letters picked without replacement from {d: 2, x: 2}. What is prob of sequence xddx? 1/6 Calculate prob of sequence yx when two letters picked without replacement from {x: 7, y: 4}. 14/55 Four letters picked without replacement from {r: 5, t: 13}. Give prob of sequence trrt. 13/306 What is prob of sequence cc when two letters picked without replacement from ccmccmccccc? 36/55 What is prob of sequence tbtr when four letters picked without replacement from {u: 1, b: 1, z: 1, r: 1, t: 4}? 1/140 Three letters picked without replacement from {w: 6, k: 10, d: 4}. Give prob of sequence kkw. 3/38 Calculate prob of sequence eee when three letters picked without replacement from ueenexeh. 1/14 Two letters picked without replacement from tujee. Give prob of sequence uj. 1/20 Four letters picked without replacement from xbxfbflflbllfff. What is prob of sequence blff? 1/91 Three letters picked without replacement from {s: 3, e: 2, k: 4}. Give prob of sequence sek. 1/21 Four letters picked without replacement from {v: 1, s: 4, i: 5, r: 6, l: 4}. Give prob of sequence rrvr. 1/969 Four letters picked without replacement from {j: 2, k: 3, e: 3, r: 9}. Give prob of sequence jrek. 27/9520
Let d = 30 - 26. Let v = d + 0. Solve v*l - 6 = 2*l for l. 3 Let r be 6 - (2 + 4 - 5). Solve -r*o + 4 = -o for o. 1 Suppose 0 = a - 5*a + 348. Let b = a + -87. Solve 2*x - 2 = -b*x for x. 1 Let g(k) = 12*k + 18. Let s be g(-1). Solve s = -5*z + 1 for z. -1 Suppose 0 = 115*q - 119*q + 12. Solve k = q*k - 6 for k. 3 Suppose -2*p = -3*s - 24, -1 + 9 = -2*s. Solve p*g = 7*g + 1 for g. -1 Suppose -1 = -p + 2*p. Let i be (-1 + p)/(-4)*6. Let u(f) = -89*f - 341. Let n be u(-4). Solve -i*s = n - 0 for s. -5 Let h(o) = 0*o - 5*o - 2 + 125*o**2 - 130*o**2 - o**3 + 0*o. Let d be h(-4). Solve g + d = -0 for g. -2 Let t(m) = m + 2 + 5 + 1. Let j be t(-5). Let b(c) = -c - 7. Let l be b(-7). Solve j*q + 20 - 5 = l for q. -5 Let t(o) = -o**3 - 6*o**2 - 5*o + 5. Let b be t(-5). Let i be ((-13)/(-52) + -1)/((-3)/16). Solve -z = -b*z + i for z. 1 Suppose 5*l = 12 - 2. Let h be (2 + -3)/(l/(-4)). Solve -h*p + 4*p = -8 for p. -4 Suppose 2*h - 3 = h + 2*t, -2*t = h - 3. Suppose i + h*i - 4*a = 28, i = -5*a - 23. Solve -20 = -2*v - i*v for v. 5 Let v(y) = y**3 + 8*y**2 + 9*y. Let i(r) = r**3 + 7*r**2 + 8*r. Let g(x) = -3*i(x) + 2*v(x). Let m be g(-3). Solve 0 = t - m + 1 for t. -1 Let q(m) = -2*m**2 + 23*m - 8. Let j be q(11). Solve -4 - 5 = -j*l for l. 3 Let y = -121 - -123. Solve y*h = -h - 12 for h. -4 Let k be (-2)/1 + (-15)/(-3). Let l = 2 + k. Let w = 5 - l. Solve w = 5*q - 2*q - 3 for q. 1 Let d be ((-119)/(-21) + -6)*-6. Suppose -13 = -4*t - 1. Solve t*g = -d*g for g. 0 Suppose -p + 14 = p + 4*l, -3*p = l - 11. Suppose 0 = -a + 3*j - 5, -p = a - 2*j - 0. Solve -a - 1 = -2*t for t. 1 Let f = -27 - -25. Let n = 4 + f. Solve -n*j = -5*j - 12 for j. -4 Suppose -2*p - 4*p - 168 = 0. Let o be (12/(-24))/(((-2)/p)/(-1)). Let y = -3 - -5. Solve o*r - 15 = y*r for r. 3 Let k(a) = 13*a. Let i be k(1). Let t = i + -18. Let b = t + 9. Solve b*z = z for z. 0 Let y be (2/9)/(1/(-45)*-5). Suppose -2*j = j + y*j. Solve 1 = -j*x + x for x. 1 Suppose k - 8 = -5. Suppose -k*m = -17 - 4. Suppose -m = -3*z + 8. Solve z*v = -3 - 2 for v. -1 Let b = -115 - -119. Solve -b*a + 14 - 2 = 0 for a. 3 Let u(a) = a - 6. Let w be u(9). Suppose 5*n - 21 = -3*m + 6, 3 = -w*m + 5*n. Solve m + 1 = -f for f. -5 Suppose 18*o - 21*o = -3*g + 60, -5*g - o = -76. Solve 2*p + 24 = g for p. -4 Let j(k) = k**2 + 16*k + 18. Let i be j(-15). Let p be -3 + (21 + 0)/i. Suppose -4*l + p = -2*l. Solve 3 + 3 = -l*f for f. -3 Let k be (150/25)/((-3)/(-6)). Solve k*o - 4 = 16*o for o. -1 Let a be (-135)/(-117) - ((-11)/13 - -1). Solve 3*v - a = 2 for v. 1 Let o = 23 - 17. Let x be 14 - (1 + -5 + o). Suppose 2*u = u + x. Solve -u + 4 = -4*n for n. 2 Suppose -3*l = -4*l + 38. Let i = l - 31. Solve 2*z = -3 - i for z. -5 Let i(j) = j**3 + 12*j**2 - 12*j + 18. Let s be i(-13). Suppose -u - 10 = -s*f, -u - 4*u = -f - 22. Solve 0 = f*g - 2*g for g. 0 Let u(f) = 2*f**2 - 6*f + 7. Let n be u(3). Solve 9*x = n*x - 4 for x. -2 Let z be (-6)/(0 - -2 - 24/10). Suppose -z = -2*j + 2*a - 3, 2*j - a = 11. Solve -j*p + 9 = -1 for p. 2 Let y be 4/12 - (-15)/9. Suppose 89 = -y*w - 135. Let a be 4/(-18) + w/(-18). Solve 2*d - a = -d for d. 2 Suppose 0 = -14*p + 51 + 33. Suppose 5*h + 7 = 3*m, -h = -8*m + p*m + 7. Let r(y) = -y**3 - 2*y**2 - y. Let z be r(-2). Solve 0 = -m*b - 2 - z for b. -1 Let i(p) = 5*p + 6. Let f(q) = 5*q + 6. Let n(z) = 3*f(z) - 2*i(z). Let t be n(6). Let v be -5*(t/(-15) + 2). Solve 7 + v = -3*m for m. -3 Let l = -8 - -13. Suppose 6*y - 10*y + 184 = 0. Suppose y = l*r - 9. Solve -r - 1 = 3*b for b. -4 Let j = 20 - 16. Let d = j - 1. Suppose -q - 6 = -d*n, -7*n + 2*n = 2*q - 21. Solve 2*y + q = y for y. -3 Let f(i) = -i**3 - 3*i**2 + 51*i + 207. Let b be f(-5). Solve -2 = -b*s + 4 for s. 3 Let q be (1 - (0 + 0)) + 1. Let u(n) = -1 + n - 5 + 2*n**3 + 10*n**2 - 1 - 3*n. Let l be u(-5). Solve 0 = -l*o + 5*o - q for o. 1 Let u(l) = l**3 + 4*l**2 + 3*l + 1. Let g(w) = -w + 9. Let i be g(11). Let m be u(i). Suppose m*c - c = 0. Solve c = j - 6*j for j. 0 Suppose 2*u = u - 3. Let s be (u/6)/(2/(-12)) + -3. Solve s = -4*g + 6 + 2 for g. 2 Suppose 6*n + 45 = 11*n. Suppose f + 0*f = -2*v + n, v = 3*f + 15. Suppose 4*j - 4 = 0, -3*h = -j + 2*j - 7. Solve -8 = -v*t + h*t for t. 2 Let z be (-1 + 1)/(-3*1). Suppose z = -3*k + 2*k + 4. Suppose -5*c + 2 + 10 = 2*v, -c = k*v - 6. Solve -2*t - c = -4 for t. 1 Suppose -2*f = a + 3*a - 290, -443 = -3*f - 2*a. Solve 0 = -n - 147 + f for n. 2 Let x(y) = -2*y + 33. Let l(w) = w - 16. Let s(m) = 11*l(m) + 6*x(m). Let c be s(16). Solve 0 = -f - f - c for f. -3 Suppose 0 = -2*n, -c - 7*n + 9 = -4*n. Solve -5*a = -c*a for a. 0 Let p(a) = -a**2 - 5*a - 5. Let y be p(-2). Suppose -3*j + 6 = 3*x, 9 = 4*j - 3*x + y. Solve 2*u + 10 = j for u. -4 Suppose 0*t + 64 = -4*t. Let j(n) = n**3 - 5*n**2 + 10*n - 10. Let f be j(4). Let i be (-35)/f*t/10. Solve -27 = -i*m - 7 for m. 5 Suppose 1 = -5*t + 6. Suppose g - 1 = t. Suppose 0*q + 4 = g*q. Solve -q*n = -5*n for n. 0 Suppose 37*f = 56*f. Solve f = -4*c + 15*c - 33 for c. 3 Suppose -g - 3 = -5. Suppose -2*l = -8 + g. Let m = 5774 + -5774. Solve m*n + 6 = -l*n for n. -2 Let f(k) = -k**2 - k + 35. Let u = -19 + 24. Let d be f(u). Solve -1 + d = 2*b for b. 2 Let a be 0 - (-3 - -3) - -13. Suppose 9 = -3*m - 3*j, -a = -m - 0*m + 3*j. Suppose 3*s = 37 - m. Solve n - s = -2*n for n. 4 Let u = -4 - -6. Suppose -3*a + u*a = -2. Suppose 0 = -15*k + 19 + 161. Solve -a*p = -5*p + k for p. 4 Suppose -2*l + x = -25, 91*x - 92*x - 5 = 0. Solve -15 - 5 = -l*t for t. 2 Suppose 5*v + 35 = -5*z + 10*z, 16 = -4*v. Solve k + 0 = -z for k. -3 Let p(t) = t**3 - 6*t**2 - 4*t - 1. Let m be p(7). Let r be 33/(-6)*4*1. Let d = -19 - r. Solve d*a + 2*a - m = 0 for a. 4 Let t = 10 - 9. Suppose -p - t = -8. Suppose 5*a - 13 = p. Solve -h + 3 = -a*h for h. -1 Suppose 3*d = -c + 16, 0 = -3*d + 3*c + 6 + 6. Suppose -5 = -4*g - 1. Let o = g - -4. Solve -o = 4*i - d*i for i. 5 Suppose x - 4 = -1. Let f be (-2)/(-4) - (-20)/8. Let k be -2*f/(-2) + 1. Solve -k = x*q - 4*q for q. 4 Suppose -4*v - 5 = -3*o + 13, -31 = -4*o + 3*v. Solve 9*a + 8 + o = 0 for a. -2 Let v(m) = m**3 - 21*m**2 + 14*m + 130. Let h be v(20). Solve 8*p + h = -6 for p. -2 Suppose 0 = 7*k - 3*k + 164. Let c = -41 - k. Solve c = 2*s - 7 - 1 for s. 4 Let y be ((-1)/((-3)/6))/1. Solve 0*f = -f + y for f. 2 Suppose -4*h + 6 = -h + 3*c, -1 = 2*h - 3*c. Let s be ((-10)/3 + 3)*(1 - h). Solve s*n + 4 = -n for n. -4 Let o be (6 - -1)/((-9)/45). Let u = -28 - o. Solve -u*l = -3*l - 20 for l. 5 Let n(s) = -7*s**2 + s - 7. Let z(w) = -6*w**2 + 2*w - 8. Let l(i) = 5*n(i) - 6*z(i). Let c be l(5). Solve 4*g + 13 = -c for g. -4 Let u(p) = -p**2 + 16*p - 47. Let b be u(7). Solve -6*d = 2*d + b for d. -2 Suppose 10*f = 5*f + 120. Solve f*m - 22*m = 6 for m. 3 Suppose 236 = 64*p - 276. Solve 13 = g + p for g. 5 Suppose -5*f + 4*z + 27 = 0, 4*f - 2 - 1 = -3*z. Suppose 2*k = k - f*k. Solve 5*l - l = k for l. 0 Let c = 31 + -27. Let g = c - -2. Solve -g = -2*z - 0*z for z. 3 Let q = -13 - -17. Suppose 0 = q*w - 10*w + 30. Solve 3*i - 10 = w for i. 5 Suppose -3*f = -f - 4. Let w = 5 - f. Suppose 0 = -4*j - 7 - 5, -25 = -5*u - 5*j. Solve w*g + u = -g for g. -2 Let v(o) = -o**3 - 16*o**2 - 6. Let z be v(-16). Let m be (-873)/(-54) + 1/z. Solve 3*t - m = -t for t. 4 Suppose 0 = -4*g - 2*c + 54, 20*g - 23*g + 36 = -3*c. Solve -g*q = -10*q + 9 for q. -3 Suppose g + 2*b + 15 = -3*b, -g + 3 = -b. Let u be -3*(-44)/48 + 3/12. Solve g*s + 12 = -u*s for s. -4 Suppose f - 5*o - 87 + 75 = 0, -6 = f + 4*o. Solve -11*c + 36 = -f*c for c. 4 Let q = 134 + -134. Solve p + 3 - 4 = q for p. 1 Let n(w) = w**2 + w + 5. Let m be n(4). Let s be (10/m)/((-1)/(-5)). Suppose s*i + 5 = 4*q + 1, 5*i = -2*q + 26. Solve -19 - 1 = -i*k for k. 5 Suppose -3*g + 13 = -155. Suppose h + g = 5*h. Let c = h - 12. Solve 6 = c*x - 5*x for x. -2 Let z(s) = s**3 - 6*s**2 + s - 3. Let b be z(6). Suppose 30 = -b*l + l. Let p = 19 + l. Solve -5*w - p = -w for w. -1 Let u = -43 + 3. Let p = u + 57. Solve 1 = 4*t + p for t. -4 Let v be (2*-1)/(2/(-4)). Let q be v/(-12) + 73/3. Suppose -q = -2*s - 5*i, 4*s - 3*i - 48 = -i. Solve 4*g + s = -8 for g. -5 Let z be (-9)/((-45)/10) - (-6 + 0). Let v = z - 4. Solve 0 = v*k + k + 25 for k. -5 Let i be (-12)/(-9)*(4 + -1). Suppose -i*v = 2*p - 11 - 5, v = 5*p - 18. Let t = 7 - 4. Solve v*j - 1 = t*j for j. -1 Let n(v) = 6*v**2 - 2*v - 4. Let f be n(-1). Solve 0 + f = -2*k for k. -2 Let f be (8/(-6))/(-1 + 4/12). Solve -f*m = m - m for m. 0
Let x = 84 + -124. What is the fourth smallest value in -2/9, 2, -0.5, x? 2 Let z = -47699/44 - -1084. Let n = -9/11 - z. Let o = -657/5 - -131. Which is the second smallest value? (a) n (b) o (c) -2 a Let y = -963.5 + 963. Which is the third biggest value? (a) 27 (b) 2/3 (c) y (d) 1/2 d Let a = 23/35 - 4/5. Let h = 3 - 3.2. Let l = 1.2 + h. What is the third biggest value in -5, a, l? -5 Let n = 39 + -44. Let v = 17/6 + -44/15. Which is the second biggest value? (a) v (b) -2/9 (c) n b Let r = -1.2 + 1. Let i = 0 + 0. Suppose -141 - 67 = -7*u - 327. Which is the second biggest value? (a) r (b) u (c) i a Let v = -73 + 75. What is the biggest value in 8, v, -2/7? 8 Let w = 10 - 7. Suppose 6*f - 4*f + w*q + 25 = 0, 0 = -5*f + 4*q - 5. Which is the second smallest value? (a) f (b) -0.2 (c) -3/8 c Let z = 103 - 496/5. Which is the second biggest value? (a) 1/2 (b) -0.1 (c) z a Let l = -59.8 - -59.83. Which is the biggest value? (a) 38 (b) l (c) -5 a Suppose 12*v - 10*v + 20 = 3*r, -2*r - 4*v = -8. Which is the third biggest value? (a) r (b) 4/7 (c) 5 (d) 15 c Let z = -13.77 + -0.03. What is the biggest value in -1/3, z, 2? 2 Let r(y) = y**2 + 3*y - 1. Let h be r(0). Let j be 1*h - (2 - 5). Which is the third biggest value? (a) 5 (b) 3/7 (c) -0.3 (d) j b Let r = 20.1 - 24.1. What is the fourth smallest value in 3/2, r, 0.1, -0.05? 3/2 Let n = -659 - -462. What is the third biggest value in n, 0, 1? n Let s(u) = -u**3 + u**2 - u + 2. Let q be s(0). Suppose -6*p + 42 = -4*p - q*x, 0 = 4*p + 2*x - 66. Which is the third biggest value? (a) p (b) -1 (c) -0.4 b Suppose 8*a + 5536 = 5528. What is the second biggest value in a, -87, -1/7? a Let y = -39.98 + -0.02. Let q = y + 43. Let x = -13 + 8. Which is the second biggest value? (a) -1/4 (b) q (c) x a Let f = 0.541 - -0.089. Let s = -0.03 + f. What is the third biggest value in 0.3, s, -0.2? -0.2 Let u = -159 + 631/4. Let d be 1*((-1102)/42 - (-4)/(-12)). Let f = -27 - d. What is the third biggest value in 0.4, u, f? u Let j = 1169/3 + -390. Let m = -4.5 - -3. Let l = -1 - m. Which is the biggest value? (a) l (b) j (c) -5 a Let w = -1440.4 + 1440. Which is the biggest value? (a) -1/2 (b) 1/4 (c) w b Let i = 750.8 + -751. Which is the third smallest value? (a) 3 (b) 4 (c) i (d) 0.2 a Let i = -28 - -32. Let f be -2 - 132/(-21) - i. Let q = 7.1 - 7. What is the biggest value in f, 0.02, q? f Let f(p) = p**2 - 27 + 4*p - 4 + 7. Let h be f(-7). Which is the biggest value? (a) 5 (b) h (c) 2/35 a Let h = 0.3 + -0.6. Let k = 281.5 + -297.5. Which is the smallest value? (a) -1/3 (b) k (c) h b Let j = 14 + -14.5. Let v = 0.29 + -8.29. Let y = 7 + v. What is the third smallest value in y, -2/7, j? -2/7 Let y = -4/71 - 181/568. Let x = -5518 + 5518. Which is the second biggest value? (a) 1/9 (b) x (c) y (d) 4 a Let o = 2.23 - 4.23. Which is the third smallest value? (a) -1/47 (b) o (c) 2 c Let y = -37.08 - -37. Let u = y + -0.32. Let f = 4 + -8. What is the smallest value in f, u, 4/3? f Let m = -136.3 + 136. What is the biggest value in m, 2/13, 3, 0.4? 3 Let i = 0.8 + -0.3. Suppose 1 + 2 = 3*g. Let f be 52/(-44) + (g - 0). What is the second biggest value in f, i, -1/8? -1/8 Let y = -61 + 106. Let g = -30 + y. Let h = 20 - g. Which is the smallest value? (a) -1/4 (b) -3 (c) h b Let u(q) = -q - 2. Let l be u(-3). Let z = -2.057 - -0.057. What is the fourth smallest value in z, -5/3, -0.5, l? l Let u = -210 + 207. Which is the third biggest value? (a) u (b) 3 (c) 4 a Let p = 191 - 185. Which is the smallest value? (a) 7/4 (b) 1 (c) p (d) 2/7 d Let n = -937/4735 - 2/947. Which is the third smallest value? (a) n (b) -2/5 (c) 4 c Let x = -11.022 + -0.278. Let z = x - 0.7. What is the second smallest value in z, 3/2, 3? 3/2 Let w = 231 - 226. Which is the third smallest value? (a) -2/15 (b) -6 (c) 3 (d) w c Suppose 0 = 4*t + 13 - 1. Let c = 335.63 - 339. Let o = -0.37 - c. What is the second smallest value in o, 0, t? 0 Suppose 2*r + 180 = 48. Let m = -98 - r. Let h = m - -95/3. Which is the third biggest value? (a) h (b) 2/7 (c) -5 c Let u be (-9 + 0)*100/(-225). What is the biggest value in -0.3, 2/341, u? u Let h be (-18 + -10)*1/2. Let l be (104/(-24))/(((-2)/6)/1). Let m = h + l. Which is the second smallest value? (a) 1 (b) m (c) 0.5 c Let t = 0.545 + -2.545. Let y = 0 + -1. What is the second biggest value in t, 82, y? y Let v be (-2)/(-14) + (-319)/(-2030). What is the second biggest value in 4, 0.04, v? v Suppose 0 = 5*t - 2*t, -5*t + 110 = -2*o. Let m be (-64)/(-10) + (-2)/5. Let x be (-3)/m*(-20)/o. Which is the third smallest value? (a) -0.3 (b) 0.4 (c) x b Let f = -41.6 - -41.7. Let z = -0.35 - 0.05. Let i = 9 + -4. What is the second smallest value in f, z, i? f Suppose 2*x + 9 = 5*x. Which is the smallest value? (a) x (b) 1/61 (c) -1 c Let x = 79 + -79.4. Let d = 1 + -0.8. Which is the third smallest value? (a) d (b) x (c) 1/2 c Suppose -2*r = -r + 3. Let p = r + 23/7. Suppose 2*w - 3 - 7 = 4*z, -2*w + 15 = -5*z. What is the third smallest value in 4, w, p? 4 Suppose 5*d - 2*d - 24 = 0. Suppose -2*f = -8 - d. Let w be (f/4)/((-6)/9). Which is the second smallest value? (a) w (b) -2 (c) -0.5 b Let v = -4.1 - 2.4. Let z = v + 7.5. Let j = -0.2 - 0. What is the third biggest value in j, -3, z? -3 Let i = -0.074 + -0.026. Let n = 2 - 6. What is the third smallest value in i, n, -5? i Let y = 1424/9 - 158. Which is the smallest value? (a) 2 (b) y (c) -31 (d) 0.4 c Suppose 2*q + 9 = -3*s, -3*s = 2*s + 3*q + 15. Let j = 164.7 - 165. Which is the smallest value? (a) 0.1 (b) s (c) j b Let g = 0.04 - -0.08. Let z = 78 + -75.88. Let t = z - g. What is the third biggest value in t, 5, -2/3? -2/3 Let b = -4.236 - -4.1. Let y = b + 10.436. Let a = y + -10. What is the smallest value in 2/23, a, -4? -4 Let z = 1/24 + -53/120. Let j = 8 - -4. Suppose -4*x = -j + 4. What is the biggest value in x, 0.3, z? x Let n = -4 - 1. Let o = 42 + -41.5. Which is the second biggest value? (a) n (b) o (c) -3 c Suppose -25 = -h - 29. Let y be -7*(h + 65/15). What is the second biggest value in -1/5, y, 1? -1/5 Let i be ((-60)/(-27))/((-18)/27) + 3. Which is the third smallest value? (a) i (b) 8 (c) -4 (d) 4/9 d Let s be 4/6 - 11/3. Let f = -865 + 864.7. Which is the second smallest value? (a) s (b) f (c) 0.3 (d) 0 b Let i = -1.61 + 2.11. Which is the third smallest value? (a) i (b) 8 (c) -0.01 b Let h = -17 - -17.7. Let f = -0.6 + h. Let o be 1/(-3) + (-18)/27. Which is the second smallest value? (a) 4 (b) o (c) f c Let t = 11 - 10.995. Let n = t + 19.995. Let o = n - 20. Which is the third smallest value? (a) -1/2 (b) -1 (c) o c Let g = 14.2 - 2.2. Let m = g + -12. Let w = 0.5 - m. Which is the third biggest value? (a) w (b) -0.2 (c) -4 c Let w = 35.1 - 35.3. Let i be ((-3)/(18/4))/2. What is the third biggest value in w, i, 1? i Let n(i) = 9*i + 6. Let w be n(6). Let q = -182/3 + w. Let x(j) = -21*j + 58. Let t be x(3). Which is the third biggest value? (a) q (b) t (c) -2/11 b Let x = -5.4 - -5.1. Let t = 9 + -9.8. Let s = -0.5 - t. Which is the third biggest value? (a) s (b) -4/5 (c) x b Let k = 10 + 2. Let f be 2/14 + (12 - k). Which is the second biggest value? (a) 3 (b) f (c) 7 a Suppose 0 = -3*u + u - 10. Let i be ((-3)/30)/(2/u). Suppose 2*o - t = 11, -5*t = -3*o - 2*o + 40. Which is the second smallest value? (a) o (b) i (c) 0.4 c Let m be 4/(-6) - 8/(-21). Let g = 4 - 2. Let u = 21.1 - 20.9. Which is the third smallest value? (a) u (b) m (c) g c Let v = 41/57 - 1/19. Let x be (-4)/(-10) + (-517)/55. Let g be 1 + -4 - 24/x. Which is the smallest value? (a) g (b) v (c) 0.1 a Let m be (132/(-8))/(2/(-4)). Let z = -37 + m. What is the second smallest value in -3, 18, z, 0.5? -3 Let g = -191.7 - -188. What is the fourth biggest value in g, 4, 3, 1/2? g Let s = -600 + 605. Which is the smallest value? (a) 0.1 (b) s (c) 0.5 a Let y = -29.4 + 99.4. Which is the second biggest value? (a) 0.03 (b) -0.2 (c) y a Let h = -110 + 56. Let d = 49 + h. What is the second smallest value in -1/3, d, -3? -3 Suppose 0 = v + r - 2*r - 7, 0 = 5*v - 4*r - 33. Let d = -6.6 + -20.4. Let m = -32 - d. Which is the biggest value? (a) 1 (b) m (c) v c Let d = 145 - 143. What is the third biggest value in d, 14, 1/3? 1/3 Let h = 823/4 + -206. Let j = 0.11 - 0.1. Which is the third smallest value? (a) j (b) h (c) 1 c
Let y = -24 + 25. Which is the nearest to y? (a) 6 (b) 0.4 (c) -5 b Let k = -3 + 3.2. Let d = 0.13 + -0.1. Let r = d - -0.07. Which is the closest to 0.2? (a) r (b) k (c) 2/7 b Let v be (-78 - 1 - -2) + 0. Let f be (-1)/2 + v/(-98). Which is the closest to 0.1? (a) f (b) 4 (c) 2/9 c Let f = 10.2 - 1.2. Which is the nearest to f? (a) 0.1 (b) 0 (c) 2 c Let d = -10 - -10.1. Let x = -0.9 - d. Suppose 7*v - 15 = 2*v. What is the closest to x in -0.1, v, 1/4? -0.1 Let t be 446/(-12)*(-6)/(-123). Let g = 3172 - 130046/41. Let x = t + g. Which is the closest to 1/4? (a) -3 (b) 2/9 (c) x b Suppose o = 5*o. Suppose 2*k = -o*k. Which is the closest to -1? (a) k (b) 5 (c) 4 a Let s be -2 + 3 - (-1)/4. Let l = 14 - 14. Which is the closest to 1/2? (a) s (b) l (c) -1/6 b Let d = -0.09 + -0.1. Let c = 0.01 - d. What is the nearest to -3/4 in 1/6, 0.1, c? 0.1 Let v = -3.4 + 8.4. Which is the closest to v? (a) 3 (b) -1 (c) 1/2 a Let l = -40/3 - -14. What is the nearest to 0 in -2/11, l, -5? -2/11 Let y be (2*5/100)/(1/4). Which is the closest to 1? (a) 5 (b) y (c) -0.3 b Suppose x + 3 = -2. What is the nearest to 1 in -3, -2, x? -2 Let a be 8/(-44) - (-46)/(-110). Let i = 7/20 + a. Let s = 1.95 - -0.05. What is the closest to s in i, -0.3, -3/7? i Suppose 0 = 4*f + f - 10. Which is the nearest to f? (a) -0.2 (b) -4 (c) -0.5 a Let n = -1.98 + -0.02. Let r = n + 2.05. Let w = r - -3.95. What is the nearest to 1 in -5/2, -2/9, w? -2/9 Let t = -0.8 - -3.8. Let s = -0.7 - -1. Which is the nearest to 1? (a) -0.4 (b) s (c) t b Let x(a) = 2*a + 3. Let b be x(0). What is the closest to 2/13 in 0.5, 4, b? 0.5 Let n be (3 + -5)/((-2)/20). Let u = n + -58/3. Let p = -41/6 + 167/24. Which is the nearest to u? (a) -3/7 (b) -0.1 (c) p c Let p be 2/(-20)*4 - 48/(-20). Which is the nearest to 0? (a) p (b) 5 (c) 2/11 c Suppose -4*t - 3 = 13. Let p be (-8)/(-28) + (-6)/7. Which is the closest to -1? (a) p (b) -1 (c) t b Let b = 0.4 + 0.6. Let h = 5 - b. Let m = h + -2. What is the closest to 1 in -0.2, m, 1/8? 1/8 Let x be ((-4)/(-16))/((-18)/(-16)). Let y = -7/15 - 2/15. Let v be 13/(-15) + 2/3. What is the nearest to x in v, y, 0.1? 0.1 Let g be (2/8)/(0 + 1). Let v = -41 - -43. Which is the nearest to g? (a) v (b) -0.4 (c) -4 b Let i = 1.2 + -6.2. Let s = i - -2.7. Let j = s + 0.3. What is the closest to j in 0.5, -3, 0.4? -3 Suppose -5*t = -t - 12. Suppose v = -t*v. Suppose v = 3*g + 2*g. Which is the closest to 0? (a) -2 (b) 4/7 (c) g c Let t be (-2)/(-8)*1*34/51. What is the closest to t in -0.8, 1, 0? 0 Let u = 8 + -21. Let o = -13 - u. Let p(v) = -v**3 + 5*v**2 - v + 3. Let w be p(5). What is the closest to -0.1 in 4/3, o, w? o Let j(t) = -t**3 + 6*t**2 + 7*t. Let z be j(7). Suppose -x + 5 + z = 0. Which is the nearest to -2? (a) -0.4 (b) x (c) 1/9 a Let x = 5.5 - 6. Suppose -1 = -3*h + 4*y, h = -h + 2*y. Which is the closest to h? (a) -2 (b) x (c) -4 b Let x = 1/12 + 1/6. Let v = -0.981 + -0.019. What is the nearest to v in -0.1, -5, x? -0.1 Let d be -2*1/(-7) + 0. Let l = 348 - 352. What is the closest to -3 in l, 3/2, d? l Let l = -73 + 73. Which is the closest to 2/5? (a) l (b) 1/8 (c) 2 b Let g = 5.6 + -0.6. Let f = -2 - -1.8. Suppose 0*l - 8 = 4*l. Which is the nearest to f? (a) l (b) g (c) -1 c Suppose 2*w + 0*w = -3*i + 4, -w = -3*i + 7. Let m = -18 - -23.5. Let s = -1.5 + m. Which is the closest to w? (a) 5 (b) 0.4 (c) s b Let o(h) = -h**2 + 2*h + 8. Let m be o(4). Which is the nearest to m? (a) -0.4 (b) -2/9 (c) 2 b Let n = -0.54 - -0.94. What is the closest to 0 in 8, 3, n? n Suppose 4*j - 28 = 6*j. Suppose 0*n + 2*n = -8. Let a be j/(-18)*n/(-14). What is the closest to -2 in a, -2/17, -2/15? -2/15 Let i = -0.1 - 0.4. Let q(k) = k**2 - 6*k + 9. Let u be q(4). What is the closest to u in 2, 4, i? 2 Suppose -j - 20 = 4*g, -3*j - 12 = g - j. What is the closest to 0.5 in g, 0.4, -5? 0.4 Let z(c) = c**2 - 1. Let m be z(-1). Let a be ((-4)/6)/((110/(-15))/11). What is the nearest to a in 4, 3, m? m Let i be ((-2)/2 - 0)/1. Let d be ((1/(-2))/i)/(-1). Let h = -0.4 - 3.6. What is the nearest to d in h, -0.4, -0.2? -0.4 Let j = 29.9 + -30. What is the nearest to -7 in 2/3, j, 4? j Let q = 3.5 - 7. Let o = 0.21 - 4.21. Let t = q - o. Which is the closest to 1? (a) 4 (b) -6/5 (c) t c Let k be (-14)/(-170) - 15/75. What is the nearest to k in 3, 1, 4? 1 Let u be (-4)/15*30/20. Which is the closest to u? (a) 0.4 (b) -0.3 (c) -1 b Let u = 12.3 + -12.1. What is the nearest to u in 5/2, 0.2, -4/3? 0.2 Let k be -3*1 - (-442)/130. Let v be -1 + 1 - 4/(-10). Which is the closest to v? (a) k (b) -0.4 (c) -2 a Let r = 3/4 - 1/2. Let t = -5.3 + 4.8. What is the closest to r in -2, t, 2/7? 2/7 Let n be 2 - 4 - 34/(-16). Let t = -0.19 - 1.81. What is the closest to 0 in n, t, 2/15? n Let m = -4.7 + 9.7. Which is the nearest to -2/7? (a) -7 (b) m (c) 0 c Suppose l + 3 = 3*m, 0*m - 2*m - 2*l + 10 = 0. Suppose 0 = -3*t - h + 17, 5*t - 2*t + 5*h = 25. Which is the nearest to 0.2? (a) t (b) 0.5 (c) m b Let q = 0.085 + -0.485. Let g = 2 - 1. Let f = 2 + -4. What is the closest to g in f, 1/4, q? 1/4 Let i = 0.5 - -10.5. Let w = i + -10. Let m be ((-24)/15)/4 + 0. Which is the closest to w? (a) 5 (b) -0.5 (c) m c Let g be -1 + (-3 - (-24)/9). Which is the nearest to 0.1? (a) 0.4 (b) -0.1 (c) g b Let y = 1 + 4. Let s(v) = -v**3 + 9*v**2 - v + 8. Let p be s(9). Let g(w) = 3*w**2 + w. Let h be g(p). Which is the nearest to -1? (a) -0.1 (b) h (c) y a Let t = -24.7 + 26.7. Let r = 2.9 - 3. Which is the closest to -1/2? (a) -5 (b) r (c) t b Let q(n) = n - 11. Suppose 5*l = -5*r + 55, -5*r + 26 = 2*l - 14. Let u be q(r). Which is the closest to 0.1? (a) -0.3 (b) 0.2 (c) u b Let l be (-10)/12 + 6/4. Which is the closest to 0.6? (a) 0 (b) l (c) 5 b Let k be (-3)/(-3) - 12/11. What is the closest to -3 in k, 0.4, -0.1? -0.1 Let u = -22 + 21.6. Which is the nearest to -3/7? (a) u (b) -3 (c) 5 a Let v = -1.3 + 0.8. Let j = 0 - v. What is the nearest to 3 in 4/5, -5, j? 4/5 Let v = -0.44 + -0.56. What is the nearest to v in -0.3, 5/4, 2/39? -0.3 Let r = 1 - 2. Let j be (-6)/18*4/6. Let l = 84 - 417/5. What is the closest to 0 in l, j, r? j Let x(z) = z**3 + 9*z**2 + 11*z + 5. Let p be x(-7). Let k(c) = -2*c - 6. Let o be k(7). Let m be p/o + 6/4. What is the nearest to m in -2/3, -0.2, 4/5? -0.2 Let t = 0.27 + 1.73. What is the nearest to 1 in 6, t, -0.1? t Let y = -1.4 - -3.4. What is the closest to y in 4, -0.4, -0.1? 4 Let o = 7 - -7. Let h = 57/4 - o. Which is the nearest to 0.2? (a) 1 (b) h (c) 0 b Let s be -1*296/76 + 4. What is the closest to -0.1 in -0.4, -0.2, s? -0.2 Let k = -3 + 13. Let l = -9 + k. What is the nearest to 0 in l, -1/5, 6? -1/5 Let v = -2.2 + 1.4. Let r = -0.2 + v. Let h = 0.8 - -0.2. What is the nearest to h in r, -4, 2? 2 Let p be (((-27)/6)/9)/(-3). Which is the closest to p? (a) -0.5 (b) -1 (c) -3/5 a Let q = 4.04 - 4. Let z = -3.96 - q. Which is the closest to -2? (a) -1 (b) z (c) -0.1 a Let i = 521/51 - 31/3. Which is the closest to -2/7? (a) i (b) -5 (c) -0.5 a Let w = -301/5 - -60. Let j = -2 + 2. What is the nearest to j in w, 0.5, -4? w Let a = 0.7 - 0.7. Suppose x = -5*i + 3, -x + 2*i - 3 + 6 = 0. Let d be x/(-35) + 2/(-10). What is the closest to a in d, 0, -0.2? 0 Let q = -16.2 - -19. Let x = -3 + q. Which is the closest to 2? (a) -0.1 (b) -4 (c) x a Let x = 1.1 - 1. What is the nearest to 0 in x, 5, -2/7? x Let z = -3.7 + 0.7. Let q = -5 - z. Which is the nearest to -2? (a) 0.3 (b) -5 (c) q c Let u = -4.94 + 4.94. Suppose h + 2 + 1 = 0, -5*q + h - 17 = 0. What is the closest to u in 1, -0.2, q? -0.2 Let m = 13.9 - 14.3. What is the closest to 3 in m, 3/5, 0.2? 3/5 Suppose 10 = 2*n, 3*g = 4*g - n + 1. Which is the nearest to 0.4? (a) -2/9 (b) g (c) -2/17 c Suppose 3 = -2*q - 1. Let m be (-6 - -9)*q/33. Let d be (4 + -1)*(-1)/3. What is the nearest to d in 2, -0.3, m? -0.3 Let j = -120.9 + 121. What is the closest to j in 1/9, 1/10, -3? 1/10 Let f = 9 - 11. Which is the closest to f? (a) 3/4 (b) -1/5 (c) 5 b Let q = -7.4 - -7.5. Which is the nearest to -0.2? (a) -4 (b) q (c) 0.3 b Let s = 17 + -17. Which is the nearest to s? (a) 0.5 (b) -2 (c) -1/10 c Let f = -0.06 - 2.94. Suppose 11*t + 34 + 10 = 0. Which is the nearest to 2/3? (a) t (b) f (c) -1/7 c Let d = -12 - -17. Let s = 0 - 1. Let r = -5/46 - -1/115. Which is the closest to 0? (a) r (b) s (c) d a
Let k be 0 + 2 - 22*2/22. Let v(p) be the second derivative of 0*p**4 + 0*p**2 + k - 17*p - 1/70*p**5 + 1/21*p**3. Factor v(y). -2*y*(y - 1)*(y + 1)/7 Let f = 1370629787/3975983 + -1/361453. Let u = -344 + f. Factor -u*w - 2/11*w**4 - 12/11*w**2 - 8/11*w**3 - 2/11. -2*(w + 1)**4/11 Solve 0*k + 0 + 1/5*k**4 + 0*k**2 + 5*k**3 = 0. -25, 0 Suppose -4*w - 352 = -624. Let u be -1 - (2 - 6/96*w). Suppose 0 + 25/4*b - u*b**2 = 0. What is b? 0, 5 Let o(w) be the first derivative of 63/20*w**4 + 1/10*w**6 + 24/25*w**5 + 12/5*w**2 - 23 + 0*w + 22/5*w**3. Suppose o(f) = 0. Calculate f. -4, -2, -1, 0 Determine d, given that 636*d**3 - 4*d**4 + 248*d**3 + 902*d**2 - 884*d + 97*d**2 - 888 - 107*d**2 = 0. -1, 1, 222 Find j such that -15/2*j**2 - 325 - 985/2*j = 0. -65, -2/3 Let y(c) be the third derivative of -2/135*c**5 - 1/945*c**7 + 1/135*c**6 + 0*c**3 + 0*c + 0 + 0*c**4 - 103*c**2. Factor y(v). -2*v**2*(v - 2)**2/9 Let n = 6/27395 - -109538/191765. Factor -n - 2/7*l**2 + 6/7*l. -2*(l - 2)*(l - 1)/7 Let s(r) be the third derivative of r**5/450 - 193*r**4/45 + 148996*r**3/45 - 2634*r**2. Factor s(p). 2*(p - 386)**2/15 Let y(a) be the first derivative of 144*a + 56 - 8*a**3 - 6*a**4 - 3/5*a**5 + 48*a**2. Factor y(h). -3*(h - 2)*(h + 2)**2*(h + 6) Let v(j) be the third derivative of -j**5/210 + 3*j**4/7 - 260*j**3/21 + 9*j**2 + 223. Let v(m) = 0. Calculate m. 10, 26 Let v be (-308)/(-48) + 75 + -81. Let w(l) be the third derivative of -5/6*l**3 - 1/12*l**5 - v*l**4 + 0 + 0*l - 3*l**2. Find k, given that w(k) = 0. -1 Let k(r) be the third derivative of -r**5/150 - 59*r**4/2 - 52215*r**3 - 124*r**2 - 6. Suppose k(n) = 0. Calculate n. -885 Suppose 1140*x - 162 + 470 = 1294*x. Find a such that -5/2*a + 0 - 1/2*a**3 + 3*a**x = 0. 0, 1, 5 Let d(k) be the second derivative of -49*k**6/72 + 7*k**5/4 - 15*k**4/8 + 10*k**3 - 8*k. Let v(n) be the second derivative of d(n). Solve v(c) = 0 for c. 3/7 Find s such that 103*s + 1/6*s**2 - 620/3 = 0. -620, 2 What is r in -32/5*r - 2/15*r**3 - 128/15 - 8/5*r**2 = 0? -4 Let r(g) be the first derivative of -g**3/3 + 16*g**2 - 153*g - 28. Let q be r(6). Factor 0*i + 0 - 4/7*i**q + 0*i**2. -4*i**3/7 Let d(n) = -3*n**2 - 3*n + 12. Let b(f) = 12 + 11 - 37 + 13. Let r(x) = -6*b(x) + d(x). Determine q so that r(q) = 0. -3, 2 Let h(w) be the third derivative of -w**7/5880 + w**6/560 + w**4/24 + 59*w**3/6 - 189*w**2. Let o(z) be the second derivative of h(z). Factor o(f). -3*f*(f - 3)/7 Let j(v) = -30*v**3 - 1113*v**2 + 5649*v - 6774. Let u(y) = -59*y**3 - 2227*y**2 + 11298*y - 13544. Let i(x) = -5*j(x) + 3*u(x). What is h in i(h) = 0? -46, 7/3 Factor 477*r + 716*r**2 + 163 + 205 - 168*r**3 - 4*r**4 - 1389*r. -4*(r - 2)*(r - 1)**2*(r + 46) Let c(t) be the second derivative of -t**5/30 + 97*t**4/18 + 100*t**3/9 - 196*t**2/3 - 945*t. Factor c(x). -2*(x - 98)*(x - 1)*(x + 2)/3 Suppose 2*n - 28 = -4*v - 3*n, 0 = -2*v + n. Let x be (-11)/(330/(-378)) - 54/6. What is d in -24/5 - 3/5*d**v - x*d = 0? -4, -2 Factor 63*r - 1/3*r**2 - 374/3. -(r - 187)*(r - 2)/3 Let i(c) = -4*c**2 - c - 4. Let p be i(-5). Let y = p + 101. Factor -18/5*o**4 - 8/5*o + 16/5*o**y + 6/5*o**3 + 0. -2*o*(o + 1)*(3*o - 2)**2/5 Let q = 29 + -26. Suppose -q*n + 10 = 1. Factor 5*h**5 - n*h**3 - h**5 + 4*h**5 + 3*h**4 - 5*h**5 - 3*h**2. 3*h**2*(h - 1)*(h + 1)**2 Let u(r) be the third derivative of r**8/1680 - 11*r**7/150 + 149*r**6/300 - 221*r**5/150 + 293*r**4/120 - 73*r**3/30 + 47*r**2 - 4*r. Factor u(h). (h - 73)*(h - 1)**4/5 Let z(v) be the first derivative of -8*v - 26/27*v**3 - 1/18*v**4 + 9 - 16/3*v**2. Factor z(l). -2*(l + 1)*(l + 6)**2/9 Factor 35*b + 199*b + 88*b + 178*b - 264*b**2 + 4*b**3 + 348 + 420. 4*(b - 64)*(b - 3)*(b + 1) Let i(r) = -31*r + 503. Let k be i(16). Let s(a) be the third derivative of a**2 + 0 + 0*a - 1/2*a**4 + 1/70*a**k + 2*a**3 + 1/20*a**6 - 3/20*a**5. Factor s(j). 3*(j - 1)**2*(j + 2)**2 Let o be 266/2200 - 69/759. Let u(n) be the second derivative of -o*n**5 + 4*n + 1/10*n**4 + 3/10*n**3 + 0 + 0*n**2. Factor u(m). -3*m*(m - 3)*(m + 1)/5 Let d = 584098 - 584096. Factor 2/5*f**3 + 8/5*f**d + 0 + 6/5*f. 2*f*(f + 1)*(f + 3)/5 Factor 38*s**4 - 10234*s - 40133*s**2 + 1256*s - 47*s**4 + 1204*s**3. -s*(s - 67)**2*(9*s + 2) Let q(g) be the second derivative of -g**7/63 + g**6/18 + g**5 + 25*g**4/36 - 14*g**3/9 + 183*g. Let q(n) = 0. What is n? -4, -1, 0, 1/2, 7 Suppose -5*q = -5*j - 5, 4*q + 2*j = 8 + 8. Let u(x) = -2*x**2 + 11*x. Let w(g) = -2*g**2 + 10*g - 2. Let s(y) = q*w(y) - 2*u(y). Factor s(i). -2*(i - 3)*(i - 1) Let w(s) be the third derivative of -s**6/120 - 2*s**5/15 - 7*s**4/8 - 3*s**3 + 538*s**2 + 1. Let w(c) = 0. What is c? -3, -2 Let p(x) = -31*x - 94. Let o be p(-3). Let n be (549/81)/o + 7. Let 2/3*b - n*b**5 + 2/3*b**4 - 4/9*b**3 - 2/9 - 4/9*b**2 = 0. What is b? -1, 1 Let z be -3 + 32 + (-1215 - -1191). Factor -2*p**4 + 12/5*p**3 - 14/5*p + 6/5 + 2/5*p**z + 4/5*p**2. 2*(p - 3)*(p - 1)**3*(p + 1)/5 Let j(u) be the third derivative of -3*u**6/40 + 383*u**5/15 + 1199*u**4/24 - 57*u**3 - 9938*u**2. What is f in j(f) = 0? -1, 2/9, 171 Let f(l) = -29*l**3 - 83*l**2 + 142*l + 210. Let v(c) = -125*c**3 - 360*c**2 + 615*c + 910. Let h(d) = 30*f(d) - 7*v(d). Factor h(y). 5*(y - 2)*(y + 1)*(y + 7) Let v(m) be the first derivative of -2*m**5/85 + 12*m**4/17 - 368*m**3/51 + 480*m**2/17 - 800*m/17 + 1335. Find p, given that v(p) = 0. 2, 10 Let f(q) be the second derivative of -q**7/40 - q**6/40 + q**5/10 - q**3/3 + q**2/2 + 18*q. Let l(p) be the second derivative of f(p). Factor l(n). -3*n*(n + 1)*(7*n - 4) Suppose 12318 = 33*l - 4446. Solve 2*j - 4*j + 258*j**3 - l*j**3 + 252*j**3 = 0 for j. -1, 0, 1 Let -21/4*n**3 + 9/2*n**2 + 0 + 0*n + 3/4*n**4 = 0. Calculate n. 0, 1, 6 Let h(f) be the first derivative of 4*f**3/9 + 232*f**2/3 - 156*f - 2944. Factor h(p). 4*(p - 1)*(p + 117)/3 Let k be (-1)/(-5) + (-2088)/10440. Solve 0*i + 0 - 8/5*i**5 + k*i**2 + 0*i**3 - 2/5*i**4 = 0 for i. -1/4, 0 Let o(k) = k**3 + 56*k**2 + 168*k + 6218. Let q be o(-55). Factor 16/13*r**2 + 2/13*r**4 + 10/13*r**q + 0 + 8/13*r. 2*r*(r + 1)*(r + 2)**2/13 Suppose -2*t + 6 = -3*n, 4*t - 30*n = -25*n + 12. Find d such that 3/4*d + 3/4*d**5 + 7/2*d**4 + 9/2 + 1/2*d**t - 10*d**2 = 0. -3, -2/3, 1 Suppose 6/7*f**5 + 22/7*f**2 - 2*f**4 - 6/7*f**3 - 8/7 + 0*f = 0. Calculate f. -1, -2/3, 1, 2 Let b(y) be the first derivative of 0*y**2 + 0*y**4 - 1/960*y**6 + 0*y - 18 - 1/320*y**5 - 14/3*y**3. Let t(n) be the third derivative of b(n). Factor t(p). -3*p*(p + 1)/8 Let q(s) = 2*s**3 - s**2 - 2*s - 1. Let l(g) = -g**4 - 236*g**3 - 11857*g**2 - 44708*g - 33064. Let n(j) = -l(j) - 11*q(j). Factor n(f). (f + 1)*(f + 3)*(f + 105)**2 Let m be -2 + (7 - 12229/(-196)). Let v = m + -265/4. Suppose -2/21*s**2 - 24/7 + v*s = 0. Calculate s. 6 Let g be 17 - (3 + 10/5). Let -35*h**2 - 7*h - 40*h**3 - 15*h**4 + 9*h - g*h = 0. What is h? -1, -2/3, 0 Let c(p) be the third derivative of p**6/1080 + 7*p**5/360 + 5*p**4/36 - 59*p**3/6 - 95*p**2. Let r(z) be the first derivative of c(z). Factor r(q). (q + 2)*(q + 5)/3 Let h(l) be the first derivative of l**3/7 - 1518*l**2/7 + 768108*l/7 - 5286. Suppose h(c) = 0. Calculate c. 506 Let w = -465614/51 + 9130. Let z(j) be the first derivative of -1/34*j**4 - 16/17*j**2 + 0*j - 7 + w*j**3. Find s such that z(s) = 0. 0, 4 Let k(g) be the third derivative of g**5/240 - g**4/96 - 7*g**3/4 + 68*g**2 + 3*g. Factor k(c). (c - 7)*(c + 6)/4 Let m(b) = b**3 - 15*b**2 - 36*b + 14. Let d be m(17). Let f(y) = y**3 + 19*y**2 - 19*y + 22. Let v be f(d). Factor -2*k**2 - 6 - 8*k - v*k**2 + 2*k**2. -2*(k + 1)*(k + 3) Let d(l) = l**4 - l**3 - 3*l**2 + 2*l + 1. Let g(i) = -4*i**4 + 81*i**3 - 131*i**2 + 23*i + 31. Let k(x) = -20*d(x) + 5*g(x). What is o in k(o) = 0? -3/8, 1, 9 Let q(w) be the third derivative of -w + 0*w**3 + 0*w**4 + 1/300*w**6 + 14*w**2 + 0 - 3/50*w**5. Factor q(t). 2*t**2*(t - 9)/5 Suppose -3*h = -7*h. Suppose 39*k = 38*k - 3*u - 18, -5*k - 30 = 5*u. Let k*t**2 + 0*t + 4/3*t**3 + h - 2*t**4 - 10/3*t**5 = 0. What is t? -1, 0, 2/5 Let -1700/9 + 2/9*d**2 - 566/3*d = 0. What is d? -1, 850 Solve -612/7*v**2 - 2000/7 + 2/7*v**4 + 22/7*v**3 + 2120/7*v = 0 for v. -25, 2, 10 Let q be ((-411)/(-8) - 51)/(-2 + 28/8). Factor 3/4*z**2 - 3/4 - q*z**3 + 1/4*z. -(z - 3)*(z - 1)*(z + 1)/4 Let r(x) be the first derivative of 32/15*x**5 + 15*x + 12*x**3 + 9*x**2 + 8*x**4 + 27. Let b(z) be the first derivative of r(z). Factor b(a). 2*(4*a + 3)**3/3
Is 2245 less than or equal to 2327? True Is 41 at least 29/7? True Are 378614 and 378614 unequal? False Is 10 bigger than 6024.6? False Is -0.05 greater than 0.021844? False Is -93 > -106? True Which is bigger: -753339 or 0.4? 0.4 Is 2/6627 bigger than -1133? True Which is smaller: -9 or -5/102? -9 Is -55/23 bigger than -1? False Do 607/4 and 629 have the same value? False Is 0 > 4/87947? False Which is bigger: -11 or 48591? 48591 Is -0.02 at least -47850? True Is 1/4 at least -99/6563? True Which is greater: -446 or -267? -267 Is 548231 at least 548230? True Which is bigger: 23517/23 or 1023? 1023 Which is smaller: -1 or -7/6172? -1 Which is smaller: 3304 or -37/6? -37/6 Do 8243 and 8241 have the same value? False Is 679 equal to 187? False Are 6965107 and 6965106 unequal? True Which is greater: 2 or 1116/359? 1116/359 Which is smaller: 73076 or 28? 28 Is -1 smaller than -407/1501? True Are -259 and 99.8 equal? False Which is smaller: -5030 or -4838? -5030 Which is smaller: -995925 or -1/7? -995925 Are -868/73 and 2 unequal? True Which is smaller: -668 or -3925? -3925 Which is bigger: -29230 or -29229? -29229 Is -2 less than or equal to -3294.9? False Is 0 != -25/29831? True Are -3 and -930/239 non-equal? True Is 11 != 418903? True Which is smaller: 4/55 or -251? -251 Is -12667 > -12674? True Which is smaller: -3885/26 or -148? -3885/26 Which is greater: 679/15 or 46? 46 Which is smaller: -1175028 or -4700113/4? -4700113/4 Which is smaller: -185902 or -185901? -185902 Which is greater: -0.4 or -337781? -0.4 Which is bigger: -4086 or 1/3? 1/3 Is -724/3695 not equal to 0? True Which is bigger: 39 or -584? 39 Do 487 and -232 have the same value? False Which is smaller: -48/112471 or 1? -48/112471 Which is greater: -386639 or -386640? -386639 Is 2/3 != -0.003594? True Which is bigger: 2168.7 or 72? 2168.7 Which is smaller: 26141 or 26140? 26140 Is -427.32 < -1.9? True Does -1 = -635/862? False Is 8808 equal to 8805? False Is -9/61 less than 136? True Is -433 bigger than -14697/34? False Are -200 and -511 nonequal? True Are 6258.8 and 92 nonequal? True Which is greater: -96607 or -96575? -96575 Is -4296 less than or equal to 5? True Which is smaller: -1/140767 or 1? -1/140767 Do -38 and -5/146 have the same value? False Which is bigger: 469 or 433? 469 Is 56/6985 smaller than 1? True Which is smaller: 0.82 or 6/155? 6/155 Which is greater: 22 or 1610/73? 1610/73 Which is smaller: 8606/107 or 81? 8606/107 Which is smaller: -22564/11 or -2050? -22564/11 Which is bigger: -1 or 106/53017? 106/53017 Is -0.05 > 0.13021? False Is -3296/19 bigger than -0.069? False Which is greater: 6/553 or 0? 6/553 Are 172/319 and 1 equal? False Which is greater: 123852 or 123851? 123852 Which is smaller: -1 or 57/21602? -1 Is 14 > 4599? False Is -26667 equal to -26664? False Which is smaller: -332 or -106? -332 Is 0.104101 less than 47? True Which is smaller: 1 or 6/353? 6/353 Is -2397 at most 12? True Is -108572 greater than or equal to -108573? True Which is smaller: 2/3 or 164952? 2/3 Is -10/17943 bigger than 1? False Which is bigger: -1 or 20501? 20501 Which is greater: -18030/299 or -61? -18030/299 Which is bigger: 1 or -3.626? 1 Which is smaller: -1/43168 or 0.9? -1/43168 Which is smaller: 409 or 278? 278 Which is smaller: -8 or -4101/551? -8 Which is greater: 462803 or 462809? 462809 Which is bigger: 58828 or 58826? 58828 Which is greater: 151387 or 31? 151387 Which is greater: 19 or 25? 25 Are -945669/20 and -47284 nonequal? True Which is smaller: 347237 or 0? 0 Is 1 greater than or equal to 46/14803? True Is -421 greater than -189? False Which is bigger: -0.197 or 2.148? 2.148 Is 36 > 129177? False Are 1 and 296/1465 nonequal? True Is -49714 greater than -49730? True Is -771239/8 smaller than -96405? False Is 75885 < 75886? True Which is greater: 2994 or 3002? 3002 Which is greater: -11443 or -148778/13? -11443 Which is greater: -22060 or -3/49? -3/49 Which is greater: 48 or 1515/32? 48 Does -290993/6 = 0? False Which is smaller: -141633 or -283267/2? -283267/2 Does 28 = 365? False Which is greater: 0.047 or -1/139? 0.047 Is -118 > 4767? False Is 96886 bigger than 96890? False Which is greater: -105.69 or 1? 1 Which is bigger: -1 or -3/2618759? -3/2618759 Is 207 at least 28355/137? True Is 1/26704 at least -7? True Which is smaller: -99524 or -1? -99524 Is 1 > -37/277? True Which is smaller: 118149 or 472597/4? 118149 Is 1/317 != 3473? True Which is smaller: -42 or -1631/39? -42 Do 53 and 1207/23 have different values? True Are 45421/3 and 15140 nonequal? True Is 60590 less than or equal to 60598? True Which is greater: 7 or 9/144076? 7 Is 2/9 greater than 56162? False Is 420891 greater than or equal to 420891? True Do 1402/685 and 3 have the same value? False Does -2/3 = 5553027? False Is -16936 > -101617/6? True Is 1288997 at most as big as 1288999? True Are 2420 and 2443 nonequal? True Is 20054 at least 20106? False Which is smaller: 0 or -5/65773? -5/65773 Which is bigger: 168784 or 168782? 168784 Which is smaller: 22 or -2516? -2516 Which is bigger: -143/62 or 0.13? 0.13 Is -1105324 bigger than -1? False Which is bigger: 6155 or 6116? 6155 Is -450733 >= -450733? True Which is bigger: 3 or -11561? 3 Is -235 greater than 2711? False Which is bigger: -73 or 676/5? 676/5 Which is bigger: -335004/7 or -47859? -335004/7 Do 344 and 8285/24 have the same value? False Which is greater: 202897/16 or 12681? 202897/16 Do 26253 and 26246 have different values? True Which is smaller: 9/30056 or 1? 9/30056 Which is bigger: 0 or 2/5735981? 2/5735981 Is 109111 <= -1/2? False Is 1/754785 <= -1? False Which is smaller: 11463999 or 11463998? 11463998 Are 215317 and -2/5 unequal? True Which is smaller: 54/839 or 0? 0 Does 29797 = 29785? False Is 0 < -4253438? False Which is smaller: -2/4233393 or -1? -1 Which is bigger: -2 or 35295? 35295 Is -1 smaller than 137/2722? True Is 13/6 greater than or equal to -7718? True Are -3452 and -3575 unequal? True Which is smaller: 11/4749 or -1? -1 Is 16/555923 >= -1? True Is 0.4 equal to -67407? False Which is greater: 8805354 or 8805356? 8805356 Which is smaller: -21354 or -85413/4? -21354 Which is smaller: -1 or -2/49365? -1 Is 148926 equal to 148920? False Is 2 smaller than 2548/3149? False Is -7184 at most -7118? True Is -4.235 less than 1/15? True Are 10/36519 and 0 nonequal? True Which is smaller: 1 or 164/1637? 164/1637 Is 46523 at least as big as -0.26? True Which is greater: -52/1751 or 1? 1 Which is smaller: 12/19 or 1108/3? 12/19 Which is smaller: -866 or -555? -866 Which is bigger: -1910 or -1/12? -1/12 Which is smaller: -1436 or 1.8? -1436 Is 154/1789 smaller than -1? False Which is greater: 0.2 or -16613? 0.2 Is -0.01 greater than 3838/5? False Is 4966/1165 greater than 3? True Is 1 < -57/17740? False Is -9225 >= -0.25? False Which is smaller: -661 or 324? -661 Is -41.02 less than or equal to -16? True Does -8941/2 = -4470? False Is 2520 greater than or equal to 937? True Which is smaller: -278 or -78/17? -278 Which is greater: 1956 or 2204? 2204 Which is bigger: 8618349 or 8618348? 8618349 Do 193937 and 193938 have the same value? False Is -2889907 less than -2889908? False Which is smaller: -94816/5 or -18963? -94816/5 Which is bigger: -1 or -145/1426? -145/1426 Is 291195 less than 291195? False Are 2497740 and 2497738 nonequal? True Is 20326 at most 142286/7? True Which is greater: -66161 or -66162? -66161 Do 8 and 1220/141 have the same value? False Which is bigger: 122 or 74? 122 Which is smaller: -9/2132 or -1? -1 Is 44760 != 44760? False Which is greater: -286511/6 or -47753? -286511/6 Which is bigger: 0.2 or 43010/9? 43010/9 Which is greater: -2/3 or -21846? -2/3 Which is smaller: -1839028 or -1839027? -1839028 Is 8954 > 0.015? True Which is smaller: 1 or -14/1030901? -14/1030901 Which is bigger: 56668 or 56790? 56790 Which is greater: -19 or 2523? 2523 Which is smaller: 8529/46 or 186? 8529/46 Which is smaller: 75 or 5980/79? 75 Is 2/29119 greater than 1? False Is 1 >= 4/6147633? True Which is smaller: 410/117 or 4? 410/117 Is -2/5 >= 163738? False Do 13089 and 13093 have the same value? False Which is bigger: -10532 or -10513? -10513 Are 6592 and 6558 equal? False Which is bigger: 10/41501 or 0? 10/41501 Which is smaller: 7732 or 7725? 7725 Is 125774 greater than or equal to 125807? False Which is bigger: 27332 or 81994/3? 27332 Which is bigger: 0 or -2/748977? 0 Which is smaller: 905733 or 905730? 905730 Do -1/81997 and 0 have different values? True Do -22/2319 and -1 have the same value? False Which is bigger: 155/120678 or 1? 1 Is -457548/17 != -26916? True Which is greater: 7303 or 7017? 7303 Do -119 and -22161/187 have the same value? False Is -2.272 != -0.13? True Is 1 less than or equal to 166/7695? False
Let x(g) = -938*g - 209027. Calculate x(-222). -791 Let r(g) = g**3 - 200*g**2 - 1661*g - 580. What is r(208)? 44 Let f(r) = -640504*r + 1280998. Determine f(2). -10 Let z(f) = 16*f**3 + 17*f**2 + 73*f - 39. Give z(-3). -537 Let a(o) = -6*o**2 + 168*o - 982. Determine a(18). 98 Let c(h) = -h**3 - 85*h**2 - 172*h - 501. What is c(-83)? -3 Let b(j) = -2*j**2 - 1323*j - 184601. Determine b(-200). -1 Let k(r) = -259*r**2 + 4518*r - 4517. Give k(1). -258 Let b(q) = -q**3 + 26*q**2 + 61*q - 1214. Calculate b(10). 996 Let i(o) = -41*o**2 - 905*o + 130. What is i(-21)? 1054 Let q(m) = -10868*m - 2847413. Calculate q(-262). 3 Let o(a) = 8*a**3 - 2296*a**2 - 42*a + 12039. What is o(287)? -15 Let x(a) = 2*a**2 + 2267*a + 512669. Calculate x(-312). 53 Let w(f) = 23*f**3 + 77*f**2 + 18*f + 60. Calculate w(-3). 78 Let s(x) = 5*x**2 - 274*x + 1755. Determine s(7). 82 Let a(y) = -1679*y**2 - 5033*y - 9. Calculate a(-3). -21 Let u(f) = -4672*f - 135475. Give u(-29). 13 Let r(c) = -3*c**3 + 593*c**2 + 3672*c + 26. Calculate r(-6). -10 Let z(i) = 8*i**3 + 335*i**2 + 1331*i - 4146. Determine z(-37). -2 Let y(b) = -2838*b - 278581. Give y(-98). -457 Let x(q) = 89*q**2 - 833*q + 3996. Give x(5). 2056 Let u(a) = 1109*a - 6991. Calculate u(7). 772 Let y(p) = p**2 - 214*p - 22388. What is y(-77)? 19 Let h(v) = 5*v**3 - 872*v**2 + 416*v - 11801. Calculate h(174). 31 Let z(l) = -14*l**2 + 4309*l + 4330. Give z(-1). 7 Let u(q) = -1180738*q - 5903694. Give u(-5). -4 Let n(c) = -3*c**3 - 25*c**2 + 1636*c - 3158. Calculate n(2). -10 Let g(f) = -3*f**3 - 635*f**2 - 7002*f - 88. Calculate g(-200). 312 Let d(n) = 2*n**3 - 64*n**2 - 474*n + 9223. What is d(35)? -17 Let d(j) = 10*j**2 - 767*j + 14707. Determine d(37). 18 Let j(k) = -2*k**3 - 32*k**2 - 81*k + 168. What is j(-11)? -151 Let r(l) = 2418*l + 379627. Give r(-157). 1 Let z(c) = -148*c - 1835. What is z(-8)? -651 Let q(m) = -m**3 + 44*m**2 + 2656*m + 91. Determine q(-34). -45 Let r(z) = -z**3 - 8*z**2 + 33*z + 149. Calculate r(-7). -131 Let i(m) = 18958*m - 948233. What is i(50)? -333 Let g(h) = 24*h**2 + 830*h + 3876. What is g(-29)? -10 Let n(c) = 18*c**3 - 1962*c**2 - 34*c + 3716. Determine n(109). 10 Let a(y) = 4*y**2 - 96*y - 6656. What is a(-30)? -176 Let a(n) = -2*n**3 + 323*n**2 + 412*n + 7920. Determine a(163). -4631 Let b(r) = -5*r**2 + 2511*r - 29891. Determine b(12). -479 Let f(j) = 48023*j - 624303. Calculate f(13). -4 Let j(n) = 43*n**2 + 48*n - 140. Calculate j(-7). 1631 Let p(k) = 580811*k - 9873792. Determine p(17). -5 Let z(n) = 9163*n - 119092. Determine z(13). 27 Let x(p) = -521*p + 70320. Determine x(135). -15 Let d(x) = 124952*x - 1374465. Calculate d(11). 7 Let y(o) = 19*o + 623. Determine y(5). 718 Let c(w) = -177*w**2 + 2123*w + 2328. Determine c(13). 14 Let z(y) = 135*y + 3247. Give z(-15). 1222 Let j(d) = 511*d - 3686. What is j(7)? -109 Let m(c) = 2*c**2 + 1143*c + 11424. Calculate m(-10). 194 Let o(k) = -1077*k + 2809. What is o(2)? 655 Let o(a) = 3*a**2 - 317*a - 10073. What is o(-26)? 197 Let t(q) = 5*q**2 - 158*q - 279. What is t(-2)? 57 Let t(q) = -3*q**3 + 12*q**2 + 1120*q - 3385. Calculate t(3). 2 Let l(u) = 2*u**2 + 332*u - 101378. What is l(157)? 44 Let i(y) = 526*y + 1743. Determine i(-4). -361 Let u(w) = 152099*w - 2737831. What is u(18)? -49 Let s(i) = 344*i - 103296. Give s(299). -440 Let y(j) = 1127*j + 46201. Calculate y(-41). -6 Let g(q) = -q**2 + 775*q - 149456. Determine g(414). -2 Let i(r) = 16009*r + 128075. What is i(-8)? 3 Let i(p) = -17*p**2 + 203*p + 3. Determine i(11). 179 Let g(b) = -2440*b - 202459. Calculate g(-83). 61 Let g(t) = -t**3 - 13*t**2 + 22*t + 289. Calculate g(-14). 177 Let n(u) = -58261*u + 58201. What is n(1)? -60 Let f(i) = -10*i**2 - 6526*i - 42645. What is f(-646)? -9 Let n(d) = 5648*d + 1146466. Determine n(-203). -78 Let m(x) = -x**3 - 47*x**2 + 1152*x + 56753. What is m(-38)? -19 Let h(r) = -4*r**2 - 180*r - 738. Determine h(-40). 62 Let n(w) = -4*w**2 - 208*w - 1623. What is n(-48)? -855 Let w(v) = 2771*v - 5497. Give w(2). 45 Let k(y) = -2*y**2 + 1349*y - 115514. What is k(574)? -140 Let c(m) = -4367*m - 2620203. What is c(-600)? -3 Let r(b) = 29209*b + 10632072. Give r(-364). -4 Let k(u) = 8*u**2 - 4069*u - 106730. Determine k(-25). -5 Let u(y) = -y**3 - 11*y**2 + 46*y - 1978. Determine u(-19). 36 Let u(c) = -c**2 + 138*c + 3786. Give u(162). -102 Let y(b) = 21*b**2 - 3759*b + 11103. Calculate y(176). 15 Let k(f) = -7*f**3 - 58*f**2 - 32*f + 222. Give k(-7). 5 Let n(a) = -4600*a + 9239. Give n(2). 39 Let y(b) = -b**2 + 138*b + 2721. What is y(169)? -2518 Let k(u) = -8*u**2 + 579*u + 6509. Give k(82). 195 Let c(z) = 7840*z - 133245. Calculate c(17). 35 Let d(j) = -j**3 + 13*j - 622. Give d(9). -1234 Let u(s) = -3424*s + 1181289. Give u(345). 9 Let w(z) = -z**3 - 2*z**2 - 1109*z + 5711. What is w(5)? -9 Let z(l) = 377*l - 10438. What is z(28)? 118 Let c(r) = 67*r**2 - 1166*r - 708. What is c(18)? 12 Let b(x) = -6*x**3 + 197*x**2 - 544*x + 943. What is b(30)? -77 Let s(q) = -58*q**2 - 376*q + 4088. Calculate s(6). -256 Let o(c) = -2430618*c - 1. What is o(0)? -1 Let o(l) = 2*l**2 + 48318*l - 5144173. Determine o(106). 7 Let y(n) = -1717*n + 9295. Calculate y(5). 710 Let g(c) = -9268*c + 240921. Give g(26). -47 Let g(i) = 52617*i - 368330. What is g(7)? -11 Let w(l) = l**3 + l**2 + 32*l + 39. Calculate w(-7). -479 Let c(r) = -4615*r - 1158363. What is c(-251)? 2 Let u(f) = 38843*f + 15226461. Give u(-392). 5 Let k(u) = 136*u - 1226. Calculate k(9). -2 Let o(j) = -23603*j**2 + 141608*j + 69. Determine o(6). 9 Let a(z) = 6432*z + 148071. Give a(-23). 135 Let t(r) = -718*r + 242309. Calculate t(338). -375 Let z(u) = 22*u**2 + 3864*u + 27209. Give z(-7). 1239 Let p(c) = c**3 + 24*c**2 + 462*c + 12120. Calculate p(-25). -55 Let i(f) = 136*f + 12464. Give i(-59). 4440 Let k(c) = 3*c**3 + 1184*c**2 + 1968*c + 1184. Give k(-393). 5 Let t(m) = -55*m**3 + m**2 - 7784*m + 7784. What is t(1)? -54 Let z(a) = -a**3 - 18*a**2 - 664*a - 10103. What is z(-16)? 9 Let i(l) = 3164*l - 161357. Give i(51). 7 Let z(w) = -w**2 + 174*w - 2405. What is z(15)? -20 Let t(b) = 121774*b - 1217785. Calculate t(10). -45 Let b(w) = -2*w**3 + 560*w**2 - 1510*w - 42110. Give b(277). -6 Let z(y) = -y**2 + 889*y - 67. Give z(0). -67 Let t(v) = -401*v + 65440. Give t(164). -324 Let r(p) = 3*p**3 - 117*p**2 - 425*p + 7267. Determine r(41). -72 Let w(z) = z**2 - 103*z + 3035. Give w(61). 473 Let k(m) = -m**3 + 35*m**2 - 418*m + 16364. Calculate k(36). 20 Let o(y) = 2248*y + 71936. Determine o(-32). 0 Let f(b) = b**3 + 40*b**2 - 270*b + 10. Give f(-46). -266 Let l(g) = 127*g**2 - 18720*g + 7502. Determine l(147). 5 Let u(m) = -68*m - 175. Calculate u(-8). 369 Let d(c) = -8*c**2 - 2580*c - 33619. Calculate d(-13). -1431 Let l(n) = 3864*n - 1093517. Calculate l(283). -5 Let x(m) = m**3 + 104*m**2 - 830*m - 308. Calculate x(8). 220 Let x(r) = -r**3 - 168*r**2 - 359*r - 3424. Calculate x(-166). 1058 Let w(z) = -13*z**2 - 442*z + 178. Give w(-41). -3553 Let d(a) = -7136*a + 1034720. Give d(145). 0 Let d(v) = -47*v**2 + 28*v - 1233. Give d(0). -1233 Let g(l) = -l**3 + 64*l**2 - 674*l + 91. Give g(13). -52 Let q(j) = j**3 + 7*j**2 + 14*j + 160. What is q(-8)? -16 Let d(h) = h**3 - 26*h**2 - 789*h + 47. What is d(-18)? -7 Let x(o) = 6*o**3 + 888*o**2 - 6*o - 717. What is x(-148)? 171 Let c(i) = 188675*i + 943336. What is c(-5)? -39 Let i(k) = 24856*k + 3976944. Give i(-160). -16 Let d(z) = -z**3 - 175*z**2 + 534*z - 155. Give d(-178). -155 Let o(m) = -29492*m - 1710514. Determine o(-58). 22 Let h(y) = -18895*y + 207847. What is h(11)? 2 Let n(l) = l**3 - 26*l**2 - 27*l - 1731. Calculate n(29). 9 Let y(d) = -81844*d - 20. Determine y(0). -20 Let g(j) = -2*j**2 - 3026*j - 53809. What is g(-18)? 11 Let r(o) = 79*o**2 - 2181*o - 23. What is r(28)? 845 Let t(i) = 16*i**2 + 112*i - 907. Give t(7). 661 Let k(h) = 170904*h - 40846058. Give k(239). -2 Let i(v) = 361*v + 6527. Calculate i(-19). -332 Let p(d) = -90*d**2 + 4772*d - 4818. Calculate p(52). -34 Let j(k) = -5684*k - 903731. What is j(-159)? 25 Let j(v) = v**2 - 114*v + 174. Give j(103). -959 Let k(p) = -p**3 - 149*p**2 - 747*p - 3303. Calculate k(-144). 585 Let q(i) = -22296*i - 111517. Give q(-5). -37 Let n(z) = 5554*z - 133298. Determine n(24). -2 Let n(t) = 943*t - 15818. Calculate n(16). -730 Let k(d) = -27*d**2 + 484*d + 2397. Determine k(-5). -698 Let g(p) = -13*p**2 + 790*p - 794. What is g(1)? -17 Let i(c) = -6*c**3 + 138*c**2 - c - 17. What is i(23)? -40 Let z(u) = -110715*u - 1439291. Determine z(-13). 4 Let a(f) = 67*f**3 + 17353*f**2 - 6*f - 1508. What is a(-259)? 46
Expand 13*w - 8*w - 20*w + (2*w + 2*w - 5*w)*(8 - 7 - 51). 35*w Expand ((-1 - 2 + 1)*(-28 - 26 + 52) - 1 + 1 + 2 + 3 + 0 - 1 + (4 - 4 - 1)*(-2 - 3 + 3) + 6 - 2 - 3)*(5*b + 0*b - 3*b + (4 - 1 - 2)*(4*b - 3*b + 0*b)). 33*b Expand (5*y + 4*y + 4*y)*(-8*y + 8*y - 15*y**4 - 3). -195*y**5 - 39*y Expand (-34 + 36 + 0*t**3 + 49*t**3)*(-10 + 16 - 14)*(-2*t**2 - 3*t + 3*t) + (6*t - 8*t + 0*t)*(-t**4 - t**4 + 4*t**4) - 2*t**5 + 4*t**5 - t**5. 781*t**5 + 32*t**2 Expand (-3*r**4 + 2*r - 2*r)*(-106 - 124 + 261)*(0 - 3 + 0)*((2 - 5 + 2)*(-2 - 3 + 3) + 2 + 0 - 3 + 1 - 4 + 1 + (-1 + 3 - 1)*(-2 + 3 - 2)). -558*r**4 Expand -5992 + 62*h**5 + 5992 + 2*h**5 - 3*h**5 - h**5 + (0*h**4 + 4*h**4 - 2*h**4)*(3*h + 0 + 0) + (h - 2 + 2)*(-2*h**4 - 2 + 2) - 2*h**3 + 2*h**3 - h**5. 63*h**5 Expand (3 - 7 + 6)*(4*j**2 + 78*j**3 - 2 + 83*j**3 - 159*j**3). 4*j**3 + 8*j**2 - 4 Expand (228 - 155 - 40 + 996)*(0*j**3 + 4*j**3 + 3*j**3). 7203*j**3 Expand 3*s**3 - s**3 - 4*s**3 + (2*s - 3*s - s)*(-s**2 + 2*s**2 - 3*s**2) + (34*s + 71*s - 149*s - 31)*(0*s**2 - 3*s**2 + 0*s**2)*(0 - 1 + 0). -130*s**3 - 93*s**2 Expand (-2*d + 4*d + 0*d)*(0 + d + 0) + 3 + 2*d**2 - 3 + d**2 - 6*d**2 + 3*d**2 - 6*d**2 + 4*d**2 + 4*d**2 + (876*d - 61*d**2 - 876*d)*(3 - 2 + 1). -118*d**2 Expand (f**3 + 13*f**2 - 13*f**2)*(-13*f**2 + 88*f**2 + 206*f**2 + 1). 281*f**5 + f**3 Expand (4*q + 4 - 11*q - 2)*(-4 - 1 + 4)*(-3*q**3 - 5*q**3 + q**3 - 2*q**2) + (-4 - 2 + 5)*(-2*q - 2*q**4 + 2*q). -47*q**4 + 4*q**2 Expand 9*v**2 - 9*v**2 - 25*v**2 + 2*v**2 + 3*v**2 - 4*v**2 + 0*v**2 - v**2 - v**2 + (-v + v - 8*v)*(3*v - 2*v + 0*v) + 4*v**2 - v**2 - 2*v**2. -33*v**2 Expand (3*j + 0*j - j + (2 + 0 + 0)*(-2 + 2 - j) + 0*j - 7*j - 4*j + 13 + 6*j - 13)*(-6 - 15 - 5)*(2 + 1 - 1). 260*j Expand (1 - 1 - 2*v)*(-v**2 + 4*v**2 - 4*v**2) + (-v**3 + 5*v**3 - 8*v + 0*v)*(1 - 2 + 2)*(-282 + 120 + 46). -462*v**3 + 928*v Expand (-w - 2*w - w)*(819*w**2 - 763*w**2 + 1153*w**2 + 842*w**2). -8204*w**3 Expand (5*z + 27 - 27)*(-84 - 4*z - z + 114). -25*z**2 + 150*z Expand (-1 + 1 - 1)*(7422 - 3734 + 33*o - 3700). -33*o + 12 Expand (-79*n**2 + 398*n**2 - 8*n**2 + 224*n**2 + 210*n**2)*(-3*n**3 - 4*n**2 + 4*n**2). -2235*n**5 Expand (-692 - 543 + 420)*(-12 - 1 - 7)*((-t - t + 4*t)*(-2 + 1 - 1) - 2*t + t - t). -97800*t Expand (6 + 1 + 4)*(45*j**2 - 10*j**2 + 308*j**2). 3773*j**2 Expand -5*b**3 + 0*b**3 + 7*b**3 + (-11*b + 318*b**2 + 11*b)*(-2*b + 0*b + 0*b). -634*b**3 Expand 9*w - 2 + 6*w + 76*w + (0 + w + 0)*(-4 + 0 + 1). 88*w - 2 Expand (15 - 6*f**2 - 15)*(-272 - 268 + 561). -126*f**2 Expand (0*f + 2*f**2 + 0*f)*((3*f + f - 7*f)*(-1 + 5 - 2) + 6*f - 2*f - 2*f + (20 - 9 + 89)*(-2*f + 5*f - 4*f)). -208*f**3 Expand -10046*r + 10027*r + 3 - 3 + (1 - 3*r - 1)*(1 + 1 + 8). -49*r Expand (-63*b + 6 + 58*b - 134*b)*(6 - 3 + 3). -834*b + 36 Expand (-d + 2*d + 15*d)*(2*d**2 + 10*d**3 + 31 - 31). 160*d**4 + 32*d**3 Expand (2*r - 4*r + r)*(3 - 1 + 0) + r - 2*r - 2*r - 27*r + 11*r - 103*r. -124*r Expand (2*b**3 - 2*b**3 + 3*b**5)*(-1 - 1 + 1) + (54*b**3 - 12*b**3 + 35*b**3)*(21*b - 5*b**2 - 21*b). -388*b**5 Expand (-g - 1 + 1)*(-84 - 50 - 210*g + 214*g)*(-1 - 4 + 7). -8*g**2 + 268*g Expand -2*x**4 + 3*x**3 - 3*x**3 + (3*x**3 + 0*x**3 + x**3)*(-79*x - 203*x - 231*x). -2054*x**4 Expand (y**2 + 2*y - 2*y)*(4*y - 6*y + 4*y)*(-1290*y - 4766*y - 1205*y - 1). -14522*y**4 - 2*y**3 Expand (2 - 2 - 3)*(492138 - 492138 - 3487*q). 10461*q Expand (-1 + 1 + 1)*(-1 + 31219*k**2 - 31217*k**2 - 115*k - 49*k) + 4 + k**2 - 4. 3*k**2 - 164*k - 1 Expand (23*r**3 - 8*r**3 + 5*r**3)*(r**2 + 0*r**2 + r**2) + 24*r**5 + 0 - 5 - 29*r**5. 35*r**5 - 5 Expand 662*b**3 + 8935*b**2 - 8935*b**2 + (-4*b + b + 2*b)*(-b**2 + 0*b + 0*b). 663*b**3 Expand 2*y**4 - 222*y**2 + 222*y**2 + (-1 - 4 - 2)*(3*y**3 - 3*y**3 + 2*y**4). -12*y**4 Expand (72 - 181 - 79 - 186)*(41*s - 41*s - 12*s**4) + 2*s - s**4 - 2*s. 4487*s**4 Expand (3*b**4 + b**2 - b**2)*(-1 - 2 + 2)*((-b + 2*b - 3*b)*(1 - 3 + 0) + (-3*b + 5*b + b)*(7 - 17 + 2) + (0 + 0 - 1)*(b - 4*b + 2*b)). 57*b**5 Expand (-1286 - 519 - 1125)*(2*o**2 + 2*o**3 - 2*o**2). -5860*o**3 Expand -2*i**4 - 3*i**4 + 3*i**4 + (0*i**3 + 0*i**3 + 2*i**3)*(-5*i + 6*i + 77*i) + (2 - 2 - 2*i**2 + 2*i)*(-6*i**2 + 7*i**2 + 7*i**2). 138*i**4 + 16*i**3 Expand (897 - 402 - 119)*(1 - 1 - 2*f)*(-4*f**2 - 3*f**2 + 5*f**2). 1504*f**3 Expand (657*v + 558*v - 941*v)*(2 + 2 - 2) - 2*v - 2*v + 2*v. 546*v Expand (6 + 23 - 15)*(-2 + 2 - 1)*(q**5 - 2*q**5 + 4*q**5). -42*q**5 Expand (s**2 - 2*s**2 - s**2 + (-4 + 3 - 3)*(58*s**2 - 26*s + 26*s))*(1 + 1 - 1). -234*s**2 Expand (d**3 + 0 + 0)*(-1708 - 4819 - 3991 - 4816 - 3189). -18523*d**3 Expand ((5 - 1 - 6)*(-1 - 1 + 4) + 2 - 6 + 2 - 6 + 25 + 8 + 0 + 0 + 2)*(-935 + 469 + 465 - 29*c). -667*c - 23 Expand (0 + 1 + 1)*(-j + 4*j**4 + 48 - 48)*(83*j + 44*j - 22*j). 840*j**5 - 210*j**2 Expand 163*i - 163*i - 28*i**5 + (-3 + 9*i**5 + 3)*(-5 + 0 - 6) + (0*i**3 - 6*i**3 + 4*i**3)*(i - i - 2*i**2). -123*i**5 Expand (9*w**2 - w**2 - w**2)*(11780*w**2 - 65*w**3 - 11780*w**2). -455*w**5 Expand (-l + 3*l - 3*l)*(3*l - 2*l + 7*l) + 1 - 7*l - 2 + 14*l**2 - 12*l**2. -6*l**2 - 7*l - 1 Expand (4*v - 2*v - 3*v)*(-4 - 4 + 6) + 2*v + 5*v + 4*v - 6*v + 748 - 748. 7*v Expand 89*x**3 - 11*x**3 - 18*x**3 + (1 - 1 + x)*(3 - x**2 - 3) + 2*x**3 + 1 + 0*x + 0*x. 61*x**3 + 1 Expand -17*l**4 + 17*l**4 + 2*l**2 - 17*l**5 - l**2 + 17 - 17 - 3*l**5 + (-l**5 - 3*l**5 - 2*l**5)*(0 - 2 + 1). -14*l**5 + l**2 Expand (3*z - 3*z + 6*z**2)*(-1 - 1 - 3)*(z + z + 7*z). -270*z**3 Expand ((-4 + 5 - 2)*(6 + 20 - 8) - 2 + 2 + 4)*(2*f + 1 - 1). -28*f Expand (3*u**3 + 35 - 5*u**3 - 44)*(11*u - 1 - 32*u + 18*u). 6*u**4 + 2*u**3 + 27*u + 9 Expand (0*y**2 + 5*y**2 - 3*y**2)*(-y**2 - 7*y**2 + 4*y**2) - y**4 + 0*y**4 + 0*y**4 - 1 + 7*y**4 + 201*y + 195*y - 399*y. -2*y**4 - 3*y - 1 Expand -3*d - 5*d**2 + 3*d + 3*d**2 - 4*d**2 + 0*d**2 + (4*d - d - d)*(-19*d - 61*d + 19*d). -128*d**2 Expand (0 - 17 - 19)*(m - m + 3*m) + 0 + 0 - 10*m. -118*m Expand (-5 - 2 + 3)*(-2*w**2 - 2204*w + 4575*w - 2287*w). 8*w**2 - 336*w Expand (51*n - 159 + 159)*((-1 + 4 - 4)*(-4 - 2*n + 4) + (-3 - 1 + 2)*(-27*n - 32 + 32)). 2856*n**2 Expand ((6 - 5 + 0)*(1 + 5 - 4) + 1 + 3 + 2)*(14*m**2 + 21*m**2 + 99*m**2). 1072*m**2 Expand (17 - 31 + 14 + 26700*y + 71838*y)*(y + y + 0*y). 197076*y**2 Expand (-3 + 1 + 0)*(-19*y**2 - 76*y**2 - 57*y**2) - 9*y**2 - 3*y**2 + 0*y**2. 292*y**2 Expand (-d**2 + 0*d**2 - d**2)*(11143 + 11093 - 22141)*(1 + 2*d - 1) - 2*d**3 - 3*d**3 + 4*d**3. -381*d**3 Expand (0*v + 0*v + 2 - 2*v**2)*(-350 + 796 - 366)*(v - 7*v + 2*v). 640*v**3 - 640*v Expand (-2*s**2 + 3*s**3 - 4*s**3 + s**2)*(4181 - 13711 - 8688 + 284 - 7970). 25904*s**3 + 25904*s**2 Expand 2 + 19*i**2 + 142*i + 15*i**2 - 32*i**2 - i + i - 3*i**2 + 15*i + 17*i**2 - 15*i + (0*i + i - 2*i)*(0*i - i + 2*i). 15*i**2 + 142*i + 2 Expand (-28*m**3 - 61*m**3 + 62*m**3)*(-8 - 2 + 3*m**2 + 5). -81*m**5 + 135*m**3 Expand (18*k - 88*k + 39*k)*(-k**2 + 3*k**2 + k**2 + 4*k**2 + 3*k**2 + 2*k**2 - 7*k**2 + (-2*k - k + 5*k)*(1 - 2*k - 1) + 3*k**2 - 2*k**2 + k**2). -93*k**3 Expand (-265*i - 102*i - 4 + 183*i)*(0*i + 2*i - 4*i). 368*i**2 + 8*i Expand (3 - 1 - 3)*((0 + 0 + 2*l)*(-8 - 7 - 3) + 76 + 8*l - 76). 28*l Expand (-3*j**3 + 3*j**3 + j**3)*(-18*j**2 + 13 - 7*j**2 - 12) + (-3*j + j + 3*j)*(-21*j - j**4 + 21*j). -26*j**5 + j**3 Expand (-3*p**2 + 4 - 4)*(-142*p - 12*p**3 + 142*p) - 102*p**4 - 20*p**5 + 6*p**5 + 103*p**4 + 2*p. 22*p**5 + p**4 + 2*p Expand (-130*g**2 + 130*g**2 - 455*g**4)*(3 + 0 - 4)*(-3 + 5 + 0). 910*g**4 Expand j**3 - 33 + 33 + j**3 + 3*j**3 - 3*j**3 + (1 - 1 - 1)*(0*j**3 + 0*j**3 + j**3) + 2*j**3 + 2 - 2 + 7*j**3 - 25*j**3 - 6*j**3 - 4*j**3 + 4*j**3 + 2*j**3. -19*j**3 Expand (z**2 + 0*z**2 - 2*z**2)*((8 - 2 - 1)*(2 + 0 - 6) + 3 - 7 - 1). 25*z**2 Expand (3 + 2*k**3 - 4 + 0)*(-245*k + 1714*k + 924*k + 1385*k). 7556*k**4 - 3778*k Expand (-93 - 68 - 94)*(-3*q + q + 5*q) - 3 + 2*q + 3 - 54*q - 326 + 326. -817*q Expand (4453767*t - 1 + 1 - 4455629*t)*(-2 + t + 2). -1862*t**2 Expand (5*l**3 + 3*l**3 - 3*l**3)*(4*l + l - 3*l) - 2 + 6 - 3 + 2*l**4 - 3*l**4 - 7*l**4 + 0*l**4. 2*l**4 + 1 Expand (-615*p - 225*p + 87*p)*(-7*p + p + 0*p). 4518*p**2 Expand (-3 + 3 - n**2)*(2*n + 9*n + 12*n - 7*n - 4*n + 3*n - 4*n + n + 0*n + n + n - 4*n + (-1 + 4 - 2)*(n + 4*n - 4*n) + 2*n - 3*n + 3*n). -13*n**3 Expand 2*o**4 - 3 + 11 - 2 + (o**4 - 3*o**4 + 0*o**4)*(-47 + 25 + 30). -14*o**4 + 6 Expand 4*y - 4*y + 2*y**5 + (-4*y**3 + y**3 + 0*y**3)*(-4*y**2 + 11*y**2 - 10*y**2) + y**5 + 0 + 0 - y + y - y**5. 11*y**5
Solve -7*x + 8*x - 5*x = i - 4, -i - 5*x + 5 = 0 for i. 0 Solve -6*r = 6*z - 12, 252*z - 129*z = 131*z - 2*r + 34 for z. -3 Solve 26*b - 6*b = 2*h + 11*h + 386, 88 = 9*b - 4*b + h for b. 18 Solve 276538*k - 276541*k = 18, -55*t - 391 = k for t. -7 Solve -987*u - a + 29 = -981*u, 2*a = -5*u + 12 + 11 for u. 5 Solve 4*v - 3*y = -592 + 1041 - 548, 0 = 2*v - 4*y + 62 for v. -21 Solve 2*k + 4 = -2*g, 182*g - 965 = k - 48 for g. 5 Solve -4*o - 93 = -o + 3*i, -3*o = -2*i + i + 54 + 31 for o. -29 Solve 165*l = 161*l - 6*r - 306, 4*l - 5*r = -239 - 78 for l. -78 Solve 322*u + 59 = c + 317*u, 88*c - 2*u = 82*c + 326 for c. 54 Solve 12256*m = 2*u + 12247*m + 179, 4*u + 2*m = 62 for u. 5 Solve -28*k + 4*k = -3*o - 1419, -17*k + 300 = -12*k - 5*o for k. 59 Solve -16*b + a = 54, b - 59*a + 55*a + 27 = 0 for b. -3 Solve -2*a = -2*o - 32, 0 = -121*o + 36*o + 80*o + 15 for a. 19 Solve 5*i - 13*y = -18*y, 4*i + 3*i = 5*i + 8*y - 4*y + 18 for i. 3 Solve -6718*r + 6713*r + 3*j = -135, 2*r + 1034 = -26*j for r. 3 Solve -2*c + 37 = 3*r, 51259*c + 21*r = 51256*c - 27 for c. 26 Solve -20*v + 25*v - 22 = -2*p, 136 - 121 = -5*p + 5*v for p. 1 Solve -10*i + 167 = 9*o, -2*i + 3*i = -2*i + 32*o - 28*o + 30 for i. 14 Solve 2*h + 0 = -2*t - 54, -23*t - 8 = -4*h - 197 for h. -30 Solve -4*o + 27 = -3*z + 74, 5*z - 28*o = 118 + 131 for z. 5 Solve 3*j + c = -0*c + 2691 - 2675, 5*c = 12*j - 28 for j. 4 Solve 3*n + 3*v - 19 = 4*n - 0*v, -7*v - 3245 = 326*n - 2*v for n. -10 Solve -5*t - l + 35 = 0, -1010*l + 1012*l - 602 = -86*t for t. 7 Solve 0*d + 18*d = -41 + 31 - 44, -2*d = -3*l - 3 for l. -3 Solve 2 = -2*j - 0, -5*z + 26*j - 300 + 331 = 0 for z. 1 Solve -31*s + 28*s = k - 54, -34 = 5*k - 6*k + s for k. 39 Solve 122 = -2*a - 2*b, 2*a + 177 = -a - 2*b - 2*b - 5 for a. -62 Solve 4897 = -17*t + f + 5225, 2*t + 5*f - 13 = 0 for t. 19 Solve 3*o + 52*y + 23 = 2*o + 57*y, 107 = -3*o + y - 5*y for o. -33 Solve 5*y - 23*y - 100 = -11*y - 12*y - 5*z, 15*z = -4*y + 234 for y. 6 Solve 0 = -4*f - 5*i - 1, 9*f + 17*i = 5*f + 35 for f. -4 Solve 0 = -t - 12*a + 59, 56*a - 186 - 91 = -4*t + t for t. -1 Solve 4*d + 140 = -8*y, -640*d + 637*d - 4*y - 101 = 0 for d. -31 Solve s + 67 = -0*s + 2*i, -84*s + 2210*i - 2214*i - 5800 = 0 for s. -69 Solve -159 = -19*s + i + 138 + 126, -5*s = -3*i - 125 for s. 22 Solve h + 73 - 63 = 4*f, -25 = 4*h + 3*f + 15 for h. -10 Solve -2*l = -j + 6, -7393*j - 18 = 5*l - 7394*j for l. -4 Solve 2*g = -n - 10, -3*g - 8590 = 11*g + 4*n - 8568 for g. 3 Solve 2*u = -4*m + 3*u + 9, -22*u + 19*u = -9 for m. 3 Solve -3*k - 521 = -163*u + 42, 19*u - 92 - 96 = 15*u - 2*k for u. 5 Solve 16*f - 4*c = -84 + 28, 14 = 2*f - 2*f + 2*f - 4*c for f. -5 Solve 2*k - 7*k = 25, -542 = -3*p + 18*k + 56*k + 32*k for p. 4 Solve 62*z + 65*z = 130*z + 222, 4*t + 17*z + 1278 = 0 for t. -5 Solve 0 = 9*g - 8*g + y - 33, -5*g + 8*y - 11*y = -10*y + 279 for g. -4 Solve 172 + 563 = 127*p - 8*h + 29, 2*h + 4 = -24*p + 27*p for p. 6 Solve -3*b - 2*l = 91, -b + 2 = -4*l - 33 + 42 for b. -27 Solve -151*n + 77*n + f = -68*n - 32, 0 = 5*n + 3*f - 19 for n. 5 Solve -2*g - 2*b - 916 = -1038, -27*g = b - 1595 for g. 59 Solve 46*w - 44*w - 3*a = -52, w + 3*a = -26 for w. -26 Solve -3*i + 23 = -5*r, -3 + 4 + 3 = -20*i - r - 5*r for i. 1 Solve a = -75*s + 194, 8840*a - 8836*a - 180 = -2*s for a. 44 Solve -12*v - 23508 + 23547 = 5*h, -h - v = -5 for h. 3 Solve -18*c + 23*c - 9*f + 25 = -3*f - 11*f, 5 = -5*f for c. -4 Solve -2292*b + 2294*b + 3*a + 13 = 0, -3*b = 4*a + 17 for b. 1 Solve 148*p + 8 = 144*p - 4, 2*x = -5*p + 13 for x. 14 Solve -4 = 2*y + 2*a, 47155 = y + 3*a + 2*a + 47173 for y. 2 Solve 5*m + 26 = -3*b, 5*b - 71 + 105 = -0*m - 3*m + 4*m for m. -1 Solve 0 = -50*u + 52*u + 5*i + 58, 44 + 18 = -3*u + 5*i for u. -24 Solve 0*c + k + 263 - 254 = -c, 0 = -c - 9*k - 1 for c. -10 Solve 0*u + 4*u - 2 = -2*t + 6*u - 22, -t + 314 = -3*t + 23*u for t. 4 Solve 2*r = -3*m - 2902 + 2920, 0 = 6*m - 2*m + 2*r - 18 for m. 0 Solve 0*y + 0*y + 6 + 15 = -2*y + 5*p, 3*y - 88*p + 273 = 0 for y. -3 Solve -4*p + 72*c = 77*c - 47, p + 23 = -0*p + 2*p - 10*c for p. 13 Solve -1137*r + 1127*r - c + 16 = -3*c, -34 + 3 = -r - 4*c for r. 3 Solve u = n + 34, 27*u = 3*n - 2*n + 23*u + 124 for n. -4 Solve -27*u = -56*u + 26*u + 5*m + 33, 4*m + 28 = 4*u for u. 1 Solve 18*d - 12*d - 5*d = 14*m + 127, 0 = 6*m + 3*d + 13 + 38 for m. -9 Solve -l - 573 + 569 = -i, 0 = -68*i + l - 130 for i. -2 Solve -8*z + 36 = -b, 261498*b = z + 261497*b - 8 for z. 4 Solve 3*y = s - 24, 724942*s - 214 = -2*y + 724935*s for y. 2 Solve 815*x - 95 = -5*m + 814*x, 5*m + 2*x - 100 = 0 for m. 18 Solve 128*y - 3*q - 1360 = 125*y - 1459, 4*y + 120 = q for y. -29 Solve -4*q - 2 = -14*v, -2*v - 528*q + 526*q + 8 = 0 for v. 1 Solve 0 = -p - 33*a + 728, 11*a - 10*a = 22 for p. 2 Solve 39 + 39 - 119 = -3*x - 38, -t - 5*x + 14 = 0 for t. 9 Solve -14*w + 9*w = -8*r - 6 - 99, -3*w + 6*w - 62*r = 349 for w. 13 Solve 5*i = 3*b + 4, 0 = 2*b + 2*i + 681533 - 681525 for b. -3 Solve -9*i + 2*n = 6*n - 64 + 21, -69*n + 36 = 3*i - 66*n for i. -1 Solve -42 = 5*h + 10*h - g, -52 + 13 = 3*h - 5*g + 27 for h. -2 Solve 0 = 4*x + 2*z - 74, 3*z = -2*x + 325 - 194 for x. -5 Solve 134 = 10*a - 12*a - 2*i, 75*i - 78*i - 205 = -a for a. 1 Solve -5*i - 295 = 18*r, i - 23*r = -2*i - 26*r - 60 for i. -5 Solve 2*w - 19 = -6*i - 3, -4*w + 33 = 3*i + 10 for w. 5 Solve -4*j = -11*l + 72, -33*j + l = -27*j + 3*l + 20 + 14 for j. -7 Solve 0 = -33*b - 660, 2*r + 4*b - 163 = -249 for r. -3 Solve 43*c - 40*c = 3*i + 123, -9*c - 2*i - 84 = -13*c for c. 1 Solve -3*r - 4*r + 4*r = 2*r - 15, -x - 4*x = -4*r + 682 for x. -134 Solve -3*m + 4*h + 48 + 102 = 0, -317 + 436 = -m - 3*h for m. -2 Solve -5*m + 2*p = -324 + 93, -16*m + 2*p = -19*m + 7*p + 131 for m. 47 Solve 8205 - 8265 = 4*a + 4*k, 5*k = -14*a - 30 for a. 5 Solve 231*t - 2 + 8 = -5*g + 233*t, -25*g + 3*t = -61 for g. 4 Solve 1967*q - 2005*q = -57 + 209, -q + 10 = 2*a for a. 7 Solve q + 4*b - 132 = -q + 7*q, 59 = -4*b + 171 for q. -4 Solve 1279*h - 1274*h = 3*y + 31, 0 = 5*y - 5*h + 35 for y. -2 Solve -5*m - 1609*b = -1611*b + 2, m + 2*b - 14 = 0 for m. 2 Solve -t - 849 = -2*t + 9*x + 863 - 1713, 3*t - x = 49 for t. 17 Solve 0*q + 7*q - p - 20 = 3*q, -p = q for q. 4 Solve 0 = 173791*y - 173794*y - 13*p + 63, 3*p - 21 = -y for y. 21 Solve 6*u - 2 - 5 = 3*u + 35, a = -3*u + 39 for a. -3 Solve 2*u - y = -31, -363728*u + 363733*u = 5*y - 90 for u. -13 Solve -k = -2*k + 3*b + 9, -2*k + 4*k + b = -3 for k. 0 Solve p = -4, 2*f + 108 = 37*p + 168 for f. -44 Solve 2*a + 0*s + 5*s = 14*s - 5, -s = a + 8 for a. -7 Solve 4*u - 9*v - 30 + 87 = -199, -4*u = 9*v + 328 for u. -73 Solve -d + 7*v = -5*d + 48, -2*d + 10423*v = 10421*v - 2 for d. 5 Solve -2*p + 64358*s - 64357*s + 15 = 0, -6 = 2*s for p. 6 Solve -2*x = q + 6, 15*x + 18*x + 12 = 30*x for q. 2 Solve -849 = w + 5*n - 833, 3*n + 96 = 21*w for w. 4 Solve -4*w + 49*l - 1659 + 1673 = 0, 5*l + 18 = w for w. 28 Solve 5*o - 3*o = -2*i - 14, -3*o + 5*i + 95 = 11*o - 120 + 123 for o. 3 Solve 2*j + 29 + 1 = s, 5*s - 16658*j + 16662*j = -74 for s. -2 Solve 28*c + 4*n - 239038 + 239206 = 0, c - 5*n + 42 = 0 for c. -7 Solve 2*o - 2*p + 4*p = 30, 5728 = -3*o + 852*p - 2777 for o. 5 Solve -21*v - 60 = -18*v + 3*t, -3*t = -17*v + 7*t - 6*t - 361 for v. -21 Solve -m - 5*j - 26*j + 29*j = -63, 3*j + j - 16 = 0 for m. 55 Solve -4*j - 17 = -5*r, 488 = 4*j + 2*r - 515 + 985 for j. 2 Solve -8*j + j + 4*p + 13 = 0, 2*p = 23*j - 317 + 252 for j. 3 Solve 36 - 139 = -4*j + 5*i, i + 25 = j for j. 22 Solve 4 = -2*t + 3*c - 9, 7*c - 57 = -2*t for t. 4 Solve -2*n - 30 = 4*u, 0 = -238*n - 240*n + 474*n - 47*u - 255 for n. -5 Solve 4*w - 25*m = -6*m + 56, 37*m + 23 = -3*w + 35*m for w. -5 Solve -x + 60*r - 65*r + 54 - 70 = 0, 0 = 6*x - r - 28 for x. 4 Solve 0 = -4*g + 27*i + 43, -2*i + 183 = g + 146 for g. 31 Solve -68*h - x = 1629, -2*h - 2*x = -7*x + 61 - 32 + 34 for h. -24 Solve 0*q - 3*q - 70722 = -70710, -4*q = -5*s - 34 for s. -10 Solve -3*g - 2*g - 150 + 237 = 4*f + 167, 4*f + 212 = -16*g for f. -5 Solve -825*s + 831*s - 3*k = -3, -s - 4*k + 0 = -6*s - 7 for s. 1 Solve -4*z - 140*m + 229 + 55 = 0, 2*z = 2*m - 2 for z. 1 Solve -2*c + 104 = -3*d, -93*d - 3*c = -15*d - 75*d + 114 for d. -36 Solve 4*m - 108 = 0, m - 51139 = -5*y - 51127 for y. -3 Solve 3*f + 0*f - 2*k + 51 = 0, f - 173*k - 63 = -175*k for f. 3 Solve h - h + u + 28 = -2*h, 3*h + 87 = -4*u for h. -5 Solve -311*c = -2*y - 1262, 1024*c - 53 = 1022*c + 5*y for c. 4 Solve -3*i + 16*i - 6 = 10*i - l + 7*l, -1 = 2*l + 3 for i. -2 Solve 51*w + 4*v - 439 = 0, 25 = 3*w - 14557*v + 14559*v + 8 for w. 9
Let f(b) be the third derivative of b**8/42 + b**4/4 + b**2. Find the second derivative of f(v) wrt v. 160*v**3 Let u(t) be the third derivative of 0*t + t**2 + 0*t**4 - 1/70*t**7 + 0 - 1/60*t**5 + 0*t**6 + 0*t**3. What is the third derivative of u(x) wrt x? -72*x What is the second derivative of -3*g - 3*g - 42*g**2 + 8*g**2 wrt g? -68 Let s be 17 + 0/(2 + 2). Find the second derivative of -3*r**4 - 4*r**4 + 10*r - s*r wrt r. -84*r**2 Let v(a) = a**3 - 2*a**2 - a + 2. Let b(u) = 3*u**3 - 5*u**2 - 3*u + 5. Let t(q) = -4*b(q) + 10*v(q). What is the second derivative of t(w) wrt w? -12*w Let c(b) be the second derivative of -3*b**2 + 0*b**3 - 4*b - 1/6*b**4 + 0. Find the first derivative of c(h) wrt h. -4*h Let c(b) be the third derivative of -b**8/4032 + b**6/240 + b**5/15 + 2*b**2. Let w(l) be the third derivative of c(l). Differentiate w(t) with respect to t. -10*t Let s(h) be the first derivative of h**5/5 + 7*h**3/3 - 1. What is the third derivative of s(z) wrt z? 24*z Let r(f) = -2*f**2 + 4*f + 2. Let x(j) = -12*j**2 + 7*j**2 - j + 5*j**2 + j**2. Let d(z) = 3*r(z) + 12*x(z). What is the derivative of d(w) wrt w? 12*w Suppose 3*j - 15 = -u, 4*u = -0*j + 4*j - 4. Find the third derivative of u*z**2 + 3*z**3 - 4*z + 4*z + 0*z**3 wrt z. 18 Let a(b) = 20*b**2 + 19*b + 8. Let w(c) = -3 + 6*c + 6 + 4*c**2 + 3*c**2 + 0*c**2. Let q(r) = -3*a(r) + 8*w(r). Find the second derivative of q(f) wrt f. -8 Suppose 2*f + 2 = -4*b - 4, 4*f - 10 = 3*b. Let z be (-3 + 11 + b)/2. Find the third derivative of 8*o**3 - 8*o**3 + 0*o**z - o**2 + o**4 wrt o. 24*o Let g(l) = 14*l - 11. Let a(s) = 27*s - 23. Let t(f) = -6*a(f) + 11*g(f). What is the first derivative of t(r) wrt r? -8 Let t(u) be the first derivative of 5*u**6/2 + u**2 + 2. What is the second derivative of t(f) wrt f? 300*f**3 Suppose -g + 5 = -0*g. Let o = g - -1. What is the third derivative of 3*w**2 - 3*w**4 + 3*w**4 + 3*w**o wrt w? 360*w**3 Let f(b) = -2*b**5 - 8*b**2 - 3*b + 3. Let m(x) = -3*x**5 - 17*x**2 - 5*x + 5. Let d(q) = 5*f(q) - 3*m(q). Find the third derivative of d(s) wrt s. -60*s**2 What is the third derivative of 3 + 7*w**2 - 16*w**3 + 4*w**2 - 3 wrt w? -96 What is the derivative of 1 + 5*b**2 + 5*b**3 + 8 - 5*b**2 wrt b? 15*b**2 Suppose -2*v = -7 - 5. Find the third derivative of 0*x**2 + v*x**6 - 11*x**4 + 11*x**4 + x**2 wrt x. 720*x**3 Let r(m) be the third derivative of -5*m**8/336 - 2*m**4/3 - 30*m**2. What is the second derivative of r(x) wrt x? -100*x**3 Find the third derivative of -10*y**2 - 5*y**5 + 25*y**2 - 7*y**2 wrt y. -300*y**2 Let l(w) = w**3 + 5*w**2 + 4*w + 3. Let y be l(-5). Let x(o) = 14*o + 3. Let m(d) = -1 - 3*d + d - 3*d. Let r(z) = y*m(z) - 6*x(z). Differentiate r(h) wrt h. 1 What is the third derivative of -5*t**2 + 4*t**3 + t**3 - 4*t**3 + 0*t**3 wrt t? 6 Let m(u) = u**2 - 4*u - 7. Let d be m(6). Let q = d - 2. Find the first derivative of 3 - q - 2 - 2*y**2 wrt y. -4*y Let d(w) be the third derivative of 0*w + 0 + 0*w**6 + 1/10*w**5 + 0*w**4 - 6*w**2 + 0*w**3 + 1/210*w**7. What is the third derivative of d(y) wrt y? 24*y Let d(p) = -5*p - 3 - 2 + 5*p + 3*p. Let g be d(4). Find the second derivative of -l**5 + 0 - 4*l + 0 + g*l wrt l. -20*l**3 Let g(z) be the second derivative of 0 + 0*z**3 - 7/2*z**2 + 0*z**5 + 0*z**4 - 1/6*z**6 - 7*z. Differentiate g(c) with respect to c. -20*c**3 Suppose 4*k = 3*a - 15, k + k - 6 = 0. Differentiate 4*v**4 + 12 - a + 0*v**4 wrt v. 16*v**3 Let h = -8 + 22. Let g = -7 + h. What is the third derivative of -5*a**3 + a**3 - g*a**2 + 6*a**2 wrt a? -24 Let y(x) be the third derivative of -x**8/1680 + x**6/120 + x**3/3 + x**2. Let s(v) be the first derivative of y(v). Find the third derivative of s(t) wrt t. -24*t Let d(g) = -4 + 1 + 2. Let k(c) = -9*c + 10. Let b(j) = -5*d(j) - k(j). Find the first derivative of b(x) wrt x. 9 Find the third derivative of -38*r**3 + 38*r**3 - 10*r**2 - 2*r**4 wrt r. -48*r Let r = 7 + -7. Let c(v) be the second derivative of r*v**3 + 0 + 0*v**6 + 1/42*v**7 - v + 0*v**2 - 1/6*v**4 + 0*v**5. Find the third derivative of c(o) wrt o. 60*o**2 Let l = -2 - -3. What is the first derivative of l - 4 - 3*c**2 + 1 wrt c? -6*c Let w(b) = 16*b**3 - 67*b**2 + 4. Let m(f) = 31*f**3 - 133*f**2 + 7. Let r(d) = 4*m(d) - 7*w(d). Find the third derivative of r(v) wrt v. 72 Let w be (-1)/(-4)*-2*0. Find the second derivative of w*y + 3*y + 2*y**4 + y**4 - y wrt y. 36*y**2 Let v(g) be the first derivative of -7*g**4/4 - 28*g**3/3 + 18. What is the third derivative of v(r) wrt r? -42 Suppose -2*u + 4 + 6 = 0, -k - 4*u + 25 = 0. What is the first derivative of -l - l + k - 12 wrt l? -2 Let y = 77/4 + -19. Let u(r) be the first derivative of y*r**4 + r + 2 + 0*r**2 + 0*r**3. What is the first derivative of u(g) wrt g? 3*g**2 Let u(a) be the second derivative of a**6/360 + a**5/60 + a**3/2 - a. Let l(y) be the second derivative of u(y). Find the second derivative of l(z) wrt z. 2 Let a(k) be the first derivative of -3/4*k**4 + 1/3*k**3 - 1 + 0*k**2 + 0*k. Find the third derivative of a(z) wrt z. -18 Let g = -2 + 5. Suppose g*i + 1 = 16. Find the third derivative of -4 - l**i + 4 + l**2 wrt l. -60*l**2 Let v be 6/27 - (-40)/(-18). Let t(s) = 2*s**3 + 2*s**2 + 2*s. Let o(i) = -i**3 - 3*i**2 - 3*i - 1. Let d(l) = v*o(l) - 3*t(l). Differentiate d(u) wrt u. -12*u**2 Let g be 8/12 - 4/6. Suppose 0 = -s - 5*m + 22, g*s + 2*s + 4 = 2*m. What is the first derivative of 3*c**s - 3*c**2 + 4 + c**2 wrt c? 2*c Let x be 1/1*(-72)/(-3). Suppose 4*h = -2*u + x, -3*h - 8 = -u - 21. What is the second derivative of i**2 + 3*i**4 - 3*i - i**u wrt i? 36*i**2 Let b(m) = -17*m**2 + 20*m - 6. Let p(w) = -16*w**2 + 20*w - 5. Let a(n) = -5*b(n) + 6*p(n). What is the second derivative of a(o) wrt o? -22 Let a(t) be the first derivative of t**4 + 1/3*t**3 - 3 + 0*t**2 + 0*t. What is the third derivative of a(l) wrt l? 24 Let y(s) be the second derivative of s**5/10 + s**3/3 + 6*s. What is the second derivative of y(c) wrt c? 12*c Let j(f) be the third derivative of -f**4/4 + 5*f**3/6 + 7*f**2. Differentiate j(p) with respect to p. -6 Let l(r) be the first derivative of 31*r**4/4 - 10*r**3 - 40. Find the third derivative of l(q) wrt q. 186 What is the second derivative of 46*v - 13*v - 8*v**3 + 46*v**3 + 7*v**3 wrt v? 270*v Let l = 5 + -4. Let z be 0/l + (-15)/(-3). What is the first derivative of 3*x**2 + 3 - 5 + z wrt x? 6*x Let b(o) be the second derivative of -o**11/13860 + o**7/840 + o**4/6 + 6*o. Let d(u) be the third derivative of b(u). Find the third derivative of d(m) wrt m. -480*m**3 Suppose -2 = k - 2*k. Find the second derivative of -4*v**2 + 4*v + 4*v**k - 5*v**4 wrt v. -60*v**2 Suppose -o = -4*a - 0*a + 3, 3*o = -2*a - 9. Let f = -20 + 23. Differentiate -4 + a - l + 3 + f with respect to l. -1 What is the third derivative of c**2 - c**2 - 2*c**3 - 6*c**2 - c**3 wrt c? -18 Let b(l) = -l**3 + 8*l**2 + 8*l + 12. Let x be b(9). What is the first derivative of -3*i**x - 2*i**3 + 3*i**3 - 2 wrt i? -6*i**2 Let l(b) be the third derivative of b**7/42 - b**3/6 + 7*b**2. Differentiate l(x) wrt x. 20*x**3 Suppose -2*w - y = 3*w + 3, 5*y + 15 = -5*w. Let c(u) be the second derivative of 2*u - u**2 + 0*u**3 + w + 1/6*u**4. Find the first derivative of c(p) wrt p. 4*p Suppose 3*w + h - 17 = 0, -w = -6*w + 4*h. Differentiate k**4 - 3 + 3*k**w - 2*k**4 wrt k. 8*k**3 Suppose -2*l + 7 = -0*l + q, -8 = -4*l - 4*q. Find the second derivative of -3*r**4 - 5*r + 5*r**l + r**4 + 2*r**4 wrt r. 100*r**3 Suppose -2*c - 5*c + 14 = 0. Let z(r) be the second derivative of 1/20*r**5 + 1/6*r**4 + 0 + c*r + 0*r**3 + 0*r**2. What is the third derivative of z(t) wrt t? 6 Let y(s) be the second derivative of -5*s**7/21 + 2*s**4/3 + 18*s. What is the third derivative of y(k) wrt k? -600*k**2 Suppose -2*v + 70 = 2*v + i, v + 4*i = 25. Let c = -12 + v. Find the third derivative of 4*n**2 - 2*n**5 - 1 - n**c + 1 wrt n. -180*n**2 Let m(f) be the first derivative of -4*f**5/5 - 11*f**2/2 - 7. Find the second derivative of m(i) wrt i. -48*i**2 Let g(a) be the first derivative of -a**5/5 - 3*a**2 - 1. What is the second derivative of g(t) wrt t? -12*t**2 Suppose -m = -o - 6, o - m + 2*m + 2 = 0. Let r = o - -10. Find the third derivative of 13*n**3 - 2*n**2 - 13*n**3 + 2*n**r wrt n. 240*n**3 Let s be -2 + 7 - (-2 + 4). Differentiate 0*u**3 - 2 + 8 - 2*u**3 + 0*u**s with respect to u. -6*u**2 Suppose -3*w = 17 - 23. Let n(r) be the first derivative of 1/3*r**3 + 0*r + r**4 + w + 0*r**2. What is the third derivative of n(s) wrt s? 24
What is the m'th term of -1261, -1253, -1245, -1237? 8*m - 1269 What is the l'th term of 330, 335, 352, 387, 446, 535, 660? l**3 - 2*l + 331 What is the h'th term of 1, 17, 41, 79, 137? h**3 - 2*h**2 + 15*h - 13 What is the r'th term of 146, 278, 404, 518, 614, 686? -r**3 + 3*r**2 + 130*r + 14 What is the r'th term of 7, 9, -11, -65, -165, -323, -551? -2*r**3 + r**2 + 13*r - 5 What is the i'th term of -209, -204, -199, -194, -189, -184? 5*i - 214 What is the o'th term of -212, -210, -198, -170, -120, -42, 70? o**3 - o**2 - 2*o - 210 What is the m'th term of 246, 489, 732, 975, 1218, 1461? 243*m + 3 What is the n'th term of 989, 1979, 2969, 3959, 4949? 990*n - 1 What is the q'th term of 2952, 5903, 8854? 2951*q + 1 What is the k'th term of 19, 20, -17, -110, -277, -536, -905, -1402? -3*k**3 - k**2 + 25*k - 2 What is the k'th term of 247, 224, 199, 172, 143, 112, 79? -k**2 - 20*k + 268 What is the r'th term of 74, 288, 644, 1142, 1782, 2564, 3488? 71*r**2 + r + 2 What is the k'th term of 132, 261, 386, 507, 624, 737, 846? -2*k**2 + 135*k - 1 What is the w'th term of 1717, 1716, 1715? -w + 1718 What is the z'th term of 22957, 45912, 68867, 91822? 22955*z + 2 What is the u'th term of -39, -130, -261, -426, -619, -834, -1065? u**3 - 26*u**2 - 20*u + 6 What is the o'th term of -298, -607, -928, -1267, -1630, -2023, -2452, -2923? -o**3 - 302*o + 5 What is the m'th term of -50, -43, -34, -23, -10, 5? m**2 + 4*m - 55 What is the b'th term of 81, 127, 185, 261, 361, 491, 657, 865? b**3 + 39*b + 41 What is the x'th term of 55, 56, 67, 94, 143, 220? x**3 - x**2 - 3*x + 58 What is the i'th term of 128, 581, 1336, 2393, 3752, 5413, 7376? 151*i**2 - 23 What is the a'th term of -26, -35, -54, -89, -146, -231, -350, -509? -a**3 + a**2 - 5*a - 21 What is the q'th term of 398, 794, 1190, 1586, 1982, 2378? 396*q + 2 What is the a'th term of -585, -581, -575, -567, -557? a**2 + a - 587 What is the m'th term of -1449, -2897, -4345, -5793? -1448*m - 1 What is the y'th term of -663, -1324, -1985, -2646, -3307, -3968? -661*y - 2 What is the p'th term of -107, -134, -161? -27*p - 80 What is the n'th term of -392, -397, -412, -443, -496, -577, -692, -847? -n**3 + n**2 - n - 391 What is the g'th term of -562, -1119, -1662, -2185, -2682, -3147? g**3 + g**2 - 567*g + 3 What is the c'th term of 27, 29, 25, 9, -25, -83, -171, -295? -c**3 + 3*c**2 + 25 What is the h'th term of 18, 41, 84, 153, 254, 393? h**3 + 4*h**2 + 4*h + 9 What is the t'th term of 365, 364, 363? -t + 366 What is the j'th term of -40, -81, -126, -175, -228, -285, -346? -2*j**2 - 35*j - 3 What is the s'th term of 5, -11, -65, -175, -359? -3*s**3 - s**2 + 8*s + 1 What is the o'th term of 22, 14, -8, -50, -118, -218, -356? -o**3 - o**2 + 2*o + 22 What is the t'th term of 11015, 11014, 11013, 11012, 11011, 11010? -t + 11016 What is the z'th term of -52, -122, -192, -262, -332? -70*z + 18 What is the q'th term of -4674, -4672, -4670, -4668, -4666? 2*q - 4676 What is the v'th term of 114, 247, 388, 543, 718? v**3 - 2*v**2 + 132*v - 17 What is the m'th term of 5, 19, 39, 65, 97? 3*m**2 + 5*m - 3 What is the n'th term of 40, 4, -40, -98, -176? -n**3 + 2*n**2 - 35*n + 74 What is the l'th term of 10, 22, 44, 76, 118, 170, 232? 5*l**2 - 3*l + 8 What is the a'th term of 21, 36, 51? 15*a + 6 What is the b'th term of -830, -736, -656, -596, -562, -560, -596? -b**3 - b**2 + 104*b - 932 What is the s'th term of -14718, -14722, -14738, -14772, -14830, -14918, -15042, -15208? -s**3 + 3*s - 14720 What is the p'th term of -4, 15, 44, 77, 108? -p**3 + 11*p**2 - 7*p - 7 What is the s'th term of -1, -12, -29, -52, -81? -3*s**2 - 2*s + 4 What is the s'th term of -21, -58, -121, -210, -325? -13*s**2 + 2*s - 10 What is the p'th term of -50, -97, -146, -197, -250, -305, -362? -p**2 - 44*p - 5 What is the z'th term of 14, 19, 24, 29? 5*z + 9 What is the l'th term of 59, 237, 533, 947, 1479, 2129, 2897? 59*l**2 + l - 1 What is the y'th term of 27, 51, 65, 63, 39? -y**3 + y**2 + 28*y - 1 What is the c'th term of -161, -120, -9, 208, 567, 1104, 1855, 2856? 6*c**3 - c**2 + 2*c - 168 What is the u'th term of -799, -802, -805, -808, -811, -814? -3*u - 796 What is the i'th term of -3, -8, -15, -24, -35, -48? -i**2 - 2*i What is the k'th term of 124, 76, -8, -134, -308, -536? -k**3 - 12*k**2 - 5*k + 142 What is the s'th term of 78, 56, -2, -114, -298? -3*s**3 - s + 82 What is the l'th term of -12, -41, -90, -159? -10*l**2 + l - 3 What is the n'th term of 445, 446, 447, 448? n + 444 What is the n'th term of -7, -51, -163, -373, -711, -1207, -1891, -2793? -5*n**3 - 4*n**2 + 3*n - 1 What is the g'th term of -17, -44, -101, -206, -377, -632, -989? -3*g**3 + 3*g**2 - 15*g - 2 What is the t'th term of -3560, -3561, -3562, -3563? -t - 3559 What is the g'th term of -239, -476, -709, -938, -1163, -1384? 2*g**2 - 243*g + 2 What is the l'th term of 625, 630, 647, 682, 741, 830? l**3 - 2*l + 626 What is the l'th term of 71, 77, 85, 95, 107, 121, 137? l**2 + 3*l + 67 What is the f'th term of -43, -45, -47, -49? -2*f - 41 What is the b'th term of -1, -21, -73, -169, -321? -2*b**3 - 4*b**2 + 6*b - 1 What is the b'th term of 4546, 4547, 4548, 4549? b + 4545 What is the y'th term of 78, 77, 76? -y + 79 What is the v'th term of -10, -27, -52, -85, -126, -175, -232? -4*v**2 - 5*v - 1 What is the w'th term of 242, 240, 238, 236, 234, 232? -2*w + 244 What is the y'th term of 1394, 2785, 4174, 5561? -y**2 + 1394*y + 1 What is the q'th term of 424, 855, 1286, 1717, 2148? 431*q - 7 What is the v'th term of 34783, 34781, 34777, 34771? -v**2 + v + 34783 What is the w'th term of 13, 53, 121, 217, 341, 493, 673? 14*w**2 - 2*w + 1 What is the t'th term of -1018, -1026, -1040, -1060, -1086, -1118? -3*t**2 + t - 1016 What is the f'th term of -487, -975, -1463, -1951, -2439? -488*f + 1 What is the l'th term of 95, 120, 141, 158, 171, 180, 185? -2*l**2 + 31*l + 66 What is the s'th term of 557, 534, 511, 488? -23*s + 580 What is the q'th term of 699, 699, 701, 705, 711? q**2 - 3*q + 701 What is the h'th term of -48, -50, -52, -54, -56? -2*h - 46 What is the d'th term of 2, 18, 68, 170, 342, 602? 3*d**3 - d**2 - 2*d + 2 What is the a'th term of 558, 555, 552? -3*a + 561 What is the x'th term of 256, 258, 260, 262, 264? 2*x + 254 What is the u'th term of 24, 60, 124, 222, 360, 544, 780? u**3 + 8*u**2 + 5*u + 10 What is the q'th term of -135, -133, -131? 2*q - 137 What is the l'th term of -88, -132, -176, -220, -264? -44*l - 44 What is the b'th term of 43, 88, 133, 178, 223? 45*b - 2 What is the v'th term of 4266, 8530, 12796, 17064, 21334, 25606, 29880? v**2 + 4261*v + 4 What is the g'th term of -840, -962, -1158, -1422, -1748? g**3 - 43*g**2 - 798 What is the n'th term of 25, 71, 137, 223, 329, 455? 10*n**2 + 16*n - 1 What is the s'th term of 1174, 1176, 1178, 1180, 1182? 2*s + 1172 What is the d'th term of -536, -538, -540, -542, -544, -546? -2*d - 534 What is the l'th term of 1812, 1811, 1810, 1809? -l + 1813 What is the b'th term of 293, 292, 291, 290, 289, 288? -b + 294 What is the t'th term of 54, 198, 432, 750, 1146, 1614? -t**3 + 51*t**2 - 2*t + 6 What is the m'th term of 40, 79, 112, 133, 136, 115, 64? -m**3 + 3*m**2 + 37*m + 1 What is the p'th term of 648, 649, 650, 651? p + 647 What is the f'th term of -26, -18, -10, -2, 6? 8*f - 34 What is the q'th term of -550, -494, -438, -382? 56*q - 606 What is the k'th term of 26, 115, 262, 467? 29*k**2 + 2*k - 5 What is the a'th term of 72, 72, 66, 48, 12, -48, -138, -264? -a**3 + 3*a**2 - 2*a + 72 What is the d'th term of 65, 81, 113, 167, 249, 365, 521, 723? d**3 + 2*d**2 + 3*d + 59 What is the q'th term of -4, 4, 20, 38, 52? -q**3 + 10*q**2 - 15*q + 2 What is the c'th term of -8, -35, -60, -83, -104, -123, -140? c**2 - 30*c + 21 What is the k'th term of 35, 41, 47, 53, 59, 65? 6*k + 29 What is the r'th term of -614, -613, -612, -611, -610? r - 615 What is the j'th term of 1676, 1671, 1676, 1697, 1740? j**3 - j**2 - 9*j + 1685 What is the l'th term of 11, 9, -7, -43, -105, -199? -l**3 - l**2 + 8*l + 5 What is the q'th term of -2557, -2550, -2539, -2524, -2505? 2*q**2 + q - 2560 What is the z'th term of 8, 10, 12, 14, 16? 2*z + 6 What is the m'th term of -59, -246, -557, -992, -1551, -2234, -3041? -62*m**2 - m + 4 What is the t'th term of 1231, 2464, 3697, 4930, 6163? 1233*t - 2 What is the p'th term of 24, 62, 106, 156? 3*p**2 + 29*p - 8 What is the z'th term of 23, 42, 57, 68, 75, 78, 77? -2*z**2 + 25*z What is the c'th term of 24, 157, 386, 717, 1156, 1709, 2382? c**3 + 42*c**2 - 19
Let s(g) = 2*g + 2. Let r = 15 + -11. Suppose -2*q - r*t = 4, -5*q - 4*t = 3 + 7. Let n(l) = -2*l - 3. Suppose -64*z = -67*z - 9. What is q*n(m) + z*s(m)? -2*m Let p(g) = -2*g**3 - 88*g. Let w(r) = r. Determine p(c) + 3*w(c). -2*c**3 - 85*c Let b(m) = -11*m - 2. Let g be (-7 + 22/3)/((-3)/45). Let w(d) = -21*d - 5. Give g*b(p) + 2*w(p). 13*p Let u(n) = n**2 - 2*n - 10. Let z(g) = 2*g**2 - 3*g - 20. Suppose -6 = -2*k - 3*i, 0*k - 3 = -k - 3*i. Calculate k*z(f) - 5*u(f). f**2 + f - 10 Let x(m) = -35*m + 39. Let j(p) = -18*p + 23. Calculate 10*j(y) - 6*x(y). 30*y - 4 Let w(g) be the first derivative of g + 2. Let r be (1 - 1)/(-2) - -1. Let d(q) = -3*q**2 + 2. Give r*d(t) - 2*w(t). -3*t**2 Let h(k) = -20*k**3 - 28*k + 26*k + 3*k**2 + 22*k**3. Let o(q) be the third derivative of q**6/30 + q**5/10 - q**4/6 - 2*q**2. What is -7*h(j) + 4*o(j)? 2*j**3 + 3*j**2 - 2*j Let h(u) = -5*u + 5. Let l = 12 + -4. Suppose -2*n - 14 = l. Let v(d) = 14*d - 14. Calculate n*h(q) - 4*v(q). -q + 1 Let t(r) = 562 - 5*r**2 - 5*r + 559 - 1116 + 34*r**3. Let g(x) = -17*x**3 + 2*x**2 + 2*x - 2. Determine 5*g(c) + 2*t(c). -17*c**3 Let a be (25/(-35) + (-8)/28)*7. Let z(n) = 5*n - 1. Let s be (-3)/(-6)*(4 - 0). Let m(w) = 16*w - 4. Determine a*z(k) + s*m(k). -3*k - 1 Let f(u) = -8*u + 59. Let l(x) = -6*x + 60. Calculate 4*f(q) - 5*l(q). -2*q - 64 Let l(n) = 7*n + 19. Let s(m) = 3*m + 9. Let d(b) = 2*l(b) - 5*s(b). Let h(q) = 6. What is -4*d(i) - 5*h(i)? 4*i - 2 Let b(n) = 4*n**3 + 5*n + 3. Let f(l) be the third derivative of -l**6/24 - l**5/60 - l**4/4 - 2*l**3/3 + 19*l**2 + 3. Calculate 4*b(w) + 3*f(w). w**3 - 3*w**2 + 2*w Let z(v) = -2*v**3 - 3. Let g = -54 + 63. Let j be (g/(-3) + 1)*2. Let d(u) = -2*u**3 - 2. Determine j*z(t) + 6*d(t). -4*t**3 Let t = 32475 + -32470. Let w(g) = 2*g**2 + 6*g + 8. Let q = -3 - -9. Let u(a) = -2*a**2 - 5*a - 7. Determine q*u(k) + t*w(k). -2*k**2 - 2 Let l(y) = y - 1 - 7 + 8. Suppose 6*w = 2*w + 12. Let q(b) = -4*b. Give w*q(k) + 16*l(k). 4*k Let x be 7/((-11)/((-66)/12) + -3). Let i(p) = -7*p**3 - 3*p**2 + 7*p + 6. Let u(c) = -8*c**3 - 3*c**2 + 8*c + 7. Calculate x*i(q) + 6*u(q). q**3 + 3*q**2 - q Let q(y) = 8 + 2*y - 8. Suppose -3*n = 2*v - 1, -n = 10*v - 9*v - 2. Let b(o) = o**3 - 5*o. Determine v*q(g) + 2*b(g). 2*g**3 Let p(r) = -10*r**2 + 5*r + 7. Let q(g) = -30*g**2 + 14*g + 19. Give -17*p(l) + 6*q(l). -10*l**2 - l - 5 Let k(x) = 21*x + 15. Let d(g) = g. Let h(t) = -6*d(t) - k(t). Let q(f) = 44 - 106 - 11*f + 4*f + 58. Suppose -5*w + 26 + 49 = 0. What is w*q(y) - 4*h(y)? 3*y Let c(d) be the second derivative of -d**4/12 - d**3/6 + d**2/2 + 3*d - 3. Let b(u) = -12*u**2 - 12*u + 11. What is 2*b(s) - 22*c(s)? -2*s**2 - 2*s Let u = -28 + 32. Suppose u*t = -8 + 12. Let o(v) be the first derivative of -v**3/3 + 2*v**2 + v + 1. Let x(k) = k. Determine t*o(a) - 2*x(a). -a**2 + 2*a + 1 Let n(x) = -12*x**3 + 6*x**2 - x + 6. Let h(g) = 11*g**3 - 5*g**2 + g - 5. Suppose -o = 3 + 3. What is o*h(w) - 5*n(w)? -6*w**3 - w Let k be 44/(-8) + 1/(-2). Let q(o) = -o**3 - 4. Let l(n) = 3*n**3 + 11. Let z be ((-1)/(-2))/(2/(-84)). Let s = z + 4. What is k*l(p) + s*q(p)? -p**3 + 2 Let x(w) be the second derivative of -12*w + 2*w**2 + 1/10*w**5 + 0*w**4 - 1/6*w**3 + 0. Let g(k) = k**3 + 1. Determine 3*g(l) - x(l). l**3 + l - 1 Let i(p) = -7*p**2 - 6. Let c(m) = 15*m**2 + 13. Let y = 448 - 439. Give y*i(s) + 4*c(s). -3*s**2 - 2 Let q(m) be the second derivative of -m**4/6 + 2*m**3/3 - 2*m**2 + m + 36. Suppose -h + 8 = h. Let f(i) = 2*i**2 - 3*i + 3. What is h*f(z) + 3*q(z)? 2*z**2 Suppose 0*l = 2*y - l + 7, -5*y = l. Let w(d) = -5 + 5 - 3 + 2. Let g(h) = -2*h + 1. Let x(f) = y*g(f) - 3*w(f). Let j(a) = 2*a + 2. Give -4*j(b) + 5*x(b). 2*b + 2 Let d(q) = 3*q**2 - 7*q + 9. Let s(g) be the second derivative of -g**4/6 + 2*g**3/3 - 5*g**2/2 - 14*g. Give -3*d(w) - 5*s(w). w**2 + w - 2 Let f(l) = -5*l**2 + 7. Let q(i) = -10*i**2 - 16*i**2 + 42*i**2 - 6 - 11*i**2. Give -6*f(a) - 7*q(a). -5*a**2 Let c(a) = -4*a**3 + 5*a**2 + 5*a + 23. Let d(p) = p**3 - p**2 - p - 1. Determine c(g) + 5*d(g). g**3 + 18 Let r(b) = -160*b**3 - 11*b**2 - 8*b + 6. Let m(i) = 53*i**3 + 4*i**2 + 3*i - 2. Give 8*m(x) + 3*r(x). -56*x**3 - x**2 + 2 Let r(b) = b**3 - 8*b**2 - 1. Let n(i) = 4*i**3 - 22*i**2 - 5. Calculate 4*n(x) - 11*r(x). 5*x**3 - 9 Let d(l) = 2. Let y(x) = x + 7. Let h(m) = 3*m + 19. Let s(u) = -2*h(u) + 7*y(u). Determine 11*d(a) - 2*s(a). -2*a Let v(z) be the first derivative of -z**4/2 - z**3/3 + 3*z**2/2 - 93. Let x(r) = -r**3 - 2*r**2 + 4*r. Determine 4*v(c) - 3*x(c). -5*c**3 + 2*c**2 Let y(q) = 3*q + 1. Let m(r) = 2*r + 1. Let v(d) = -d**2 + 8*d - 6. Let t be v(6). Give t*y(k) - 10*m(k). -2*k - 4 Let p(t) = -168190 + 84092 + 84096. Suppose 3*u - 2 = -2*g, -5*u + 5 = 6*g - g. Let w(l) = -l - 1. What is g*p(s) - 3*w(s)? 3*s + 1 Let i(b) = -b**2 - 3. Suppose 16*v + 17 = -63. Let x(c) = 1 + 2*c**2 + 1 + 3. Determine v*i(y) - 3*x(y). -y**2 Let y be 3*2/42 + 2/(-14). Let j(o) be the second derivative of y + o**2 + 1/6*o**3 + 3*o. Let s(b) = -b - 3. What is -3*j(m) - 2*s(m)? -m Let o(s) = s**3 + 82*s**2 - s - 1. Let j(p) = 2*p**3 - p**2 - p - 1. What is -j(m) + o(m)? -m**3 + 83*m**2 Suppose -2*f = f - 9. Let c(l) = 0*l**2 - f*l**2 - 32*l + 34*l. Let u(h) = -h**2 + h. Give -2*c(r) + 5*u(r). r**2 + r Let d(c) = -6*c + 47. Let r(y) = 7*y - 47. Calculate -6*d(i) - 5*r(i). i - 47 Let r(n) = -n - 1. Suppose -345 = -4*h - p, -5*p - 89 - 361 = -5*h. Let u = h - 60. Let x = -33 + u. Let f(j) = 4*j + 7. Give x*r(y) - f(y). 2*y - 1 Let r(d) = d**2 + 2*d + 2. Let n(h) = -7*h**2 - 8*h - 43. What is n(k) + 6*r(k)? -k**2 + 4*k - 31 Suppose -v = 3 - 5. Let w(q) = 4*q + q + 7 - v*q. Let n(g) be the third derivative of g**4/24 + g**3/3 + 5*g**2. Give -7*n(d) + 2*w(d). -d Let v(z) = -z**2 - 16*z - 32. Let s be v(-14). Let c(q) = -5*q**3 - 4*q**2 - 4*q - 4. Let n(r) = -r**3 - r**2 - r. What is s*n(f) + c(f)? -f**3 - 4 Let f(j) = 27*j**2 - 57*j**2 + 1 + 24*j**2 - 2 + 6*j. Let x(m) = m**2 - m. Calculate f(u) + 5*x(u). -u**2 + u - 1 Let r(a) = -7*a + 884. Let g(t) = -19*t + 2651. Calculate -4*g(u) + 11*r(u). -u - 880 Let v(r) = -r**3 + r**2 + 10*r - 4. Let b(x) = 2*x**3 - 3*x**2 - 31*x + 11. What is 4*b(c) + 11*v(c)? -3*c**3 - c**2 - 14*c Let b(s) = 2*s - 9. Let v(h) be the first derivative of -h**2/2 + 5*h + 28. Give 3*b(q) + 5*v(q). q - 2 Let o(u) = 3*u + 6. Suppose 0*v - t - 6 = -3*v, v - 2 = t. Let z(m) be the second derivative of 0 - 1/3*m**3 - 5/2*m**v + 7*m. Calculate 5*o(p) + 6*z(p). 3*p Let i(o) = -6*o**3 + o. Let w(f) = -34*f**3 + 59*f**2 + 11*f. What is 6*i(z) - w(z)? -2*z**3 - 59*z**2 - 5*z Let g(o) = o**2 + 3*o + 1. Let b(f) = 2*f**2 + 3*f - 209. Calculate 2*b(a) - 2*g(a). 2*a**2 - 420 Let b(k) = 8*k**2 + 6*k + 6. Let l(x) be the first derivative of 47 + 1/3*x**3 + x + 1/2*x**2. Give b(z) - 6*l(z). 2*z**2 Suppose 13*h + 15 = 18*h. Let y(u) = -2*u**3 - 2*u - 3. Let g(v) = -2*v**3 - 3*v - 3. What is h*g(j) - 4*y(j)? 2*j**3 - j + 3 Let i(v) = v**2 + v. Let k = -1 - -4. Let d(u) = -u**2 + 3*u + k + 2 - 5. Calculate -d(t) + 3*i(t). 4*t**2 Let q(z) = -13*z**2 - 4*z - 11. Suppose -5*x = 4*o - 21, -x = -3*x - 6. Let r(c) = 6*c**2 + 2*c + 5. What is o*r(y) + 4*q(y)? 2*y**2 + 2*y + 1 Let c be 26/195 + (-64)/30 + 0. Let k(i) = -247*i. Let m(x) = 13*x. Determine c*k(v) - 39*m(v). -13*v Let g(p) = p**3 - 16*p**2 + 64*p - 6. Let b be g(7). Let v(a) = 1. Let t(z) = z - 6. What is b*t(i) + 6*v(i)? i Let y(g) = 1 - 3 - 2 + g. Let q be (-7)/21*(-8)/(64/(-72)). Suppose -9 + 1 = -v. Let f(z) = 2*z - 11. Calculate q*f(j) + v*y(j). 2*j + 1 Let j(l) = -4*l**2 + l - 5. Suppose 10*d + 275 = 65*d. Let b(i) be the second derivative of 0 + d*i + 1/6*i**3 - 3*i**2 - 5/12*i**4. Calculate 3*b(f) - 4*j(f). f**2 - f + 2 Let i(v) be the third derivative of -11*v**6/120 + v**5/30 + v**4/12 - 91*v**2 + v. Let n(j) = -418*j**3 + 77*j**2 + 77*j. Calculate 77*i(h) - 2*n(h). -11*h**3 Let g(u) = -u**3 - u**2 - u + 1. Let f(y) = -14*y**3 - 4 + 8 + 1 + 29046*y**2 - 29052*y**2 - 4*y. Determine f(b) - 5*g(b). -9*b**3 - b**2 + b Let b(g) = -3*g**2 - 3*g - 30. Let u(i) = 10*i**2 + 10*i + 88. Give -14*b(j) - 4*u(j). 2*j**2 + 2*j + 68 Let b(s) = -3*s**3 - 2*s + 5 + 5*s - 5. Let v be (-12)/18 + 5/3. Let x(w) = -w. What is v*b(a) + 3*x(a)? -3*a**3 Suppose 4*x = 9 + 11. Let t(j) = j**3 + 3. Let f be (1 - 0)*(8 + -4). Let z(s) = 0 - 86*s**3 + 177*s**3 - 92*s**3 - 4. Determine f*z(h) + x*t(h). h**3 - 1
Simplify -5*(sqrt(125)*-1 + 3)**2. -670 + 150*sqrt(5) Simplify sqrt(9)/(sqrt(12)/sqrt(4)) - (2*sqrt(3) + 3). -3 - sqrt(3) Simplify (sqrt(80)/sqrt(2) + sqrt(40))/sqrt(5). 4*sqrt(2) Simplify 1*sqrt(2450) + 2 + sqrt(3200). 2 + 75*sqrt(2) Simplify (sqrt(1700) + sqrt(1700) + sqrt(1700) + (sqrt(1700)*-1 - sqrt(1700))*-5 + sqrt(1700) + sqrt(1700))**2. 382500 Simplify 5*(sqrt(34)/sqrt(18) - 3*-2*sqrt(17)). 95*sqrt(17)/3 Simplify sqrt(605)*1*-6. -66*sqrt(5) Simplify ((sqrt(52) + sqrt(52) + sqrt(52)*1)*-3)/((sqrt(8)*2)/sqrt(2)). -9*sqrt(13)/2 Simplify (sqrt(1300) - sqrt(1300)*1) + -2 + 5. 3 Simplify (sqrt(39) - sqrt(1404))/sqrt(3)*-2. 10*sqrt(13) Simplify sqrt(468) + 2 - ((sqrt(26)/sqrt(2) - sqrt(13)) + -1). 3 + 6*sqrt(13) Simplify -1 + 1 + sqrt(243). 9*sqrt(3) Simplify 6*(sqrt(240)/sqrt(8))/sqrt(6). 6*sqrt(5) Simplify ((0 + sqrt(13))*5 + sqrt(117) + -1 + sqrt(117) + sqrt(117))**2. -28*sqrt(13) + 2549 Simplify 6*((1 + sqrt(19))*3)**2. 108*sqrt(19) + 1080 Simplify (-3 + (sqrt(1573) + 0 + sqrt(1573)*2 - (sqrt(1573) + -1*sqrt(1573) + 0 + sqrt(1573))))**2. -132*sqrt(13) + 6301 Simplify sqrt(19) + (-1*sqrt(76))/sqrt(4) - (sqrt(19) + (sqrt(19) - sqrt(931)*2) + sqrt(19)). 11*sqrt(19) Simplify (sqrt(475) + -5)**2 + 3 + -5. -50*sqrt(19) + 498 Simplify -2*sqrt(19)*-1*4*5. 40*sqrt(19) Simplify (-3 + sqrt(88)/sqrt(8))*5. -15 + 5*sqrt(11) Simplify ((sqrt(425) - sqrt(425)*-1) + sqrt(17) + -1 + sqrt(425) + sqrt(425))**2. -42*sqrt(17) + 7498 Simplify -1 + (5*(0 + sqrt(171)*-1))**2. 4274 Simplify (3 + -5 + sqrt(98) - sqrt(98))**2. 4 Simplify -3*(1 + sqrt(7) + 4)**2. -96 - 30*sqrt(7) Simplify -3*(sqrt(2) + sqrt(162)*1 + sqrt(162))*-3. 171*sqrt(2) Simplify ((sqrt(88)*-1)/(sqrt(72)*1))**2. 11/9 Simplify (-3 + sqrt(1216))**2 + sqrt(1216) - (sqrt(171) - 4*sqrt(171))/sqrt(9). -37*sqrt(19) + 1225 Simplify (sqrt(1470)*-4)/sqrt(10). -28*sqrt(3) Simplify 1 + sqrt(275) + 1*(sqrt(275) - (2*sqrt(275))**2). -1099 + 10*sqrt(11) Simplify (-4*sqrt(576))/sqrt(3). -32*sqrt(3) Simplify -4*sqrt(19)*-1 + sqrt(304)*-3. -8*sqrt(19) Simplify (sqrt(45) + (sqrt(2880) - (sqrt(2880) + 1*sqrt(2880)) - sqrt(2880)))/sqrt(9)*2. -30*sqrt(5) Simplify (-4 + 0 + sqrt(11) + 0)*-3. -3*sqrt(11) + 12 Simplify (2*sqrt(19)*-2 - sqrt(190)/sqrt(90) - (sqrt(1900) - 3*(sqrt(1900) + -1)))**2. -94*sqrt(19) + 42052/9 Simplify -2*((2 + sqrt(3))*-4 + 0). 8*sqrt(3) + 16 Simplify (sqrt(13) - (sqrt(13) + -2)**2)*-5*4. -100*sqrt(13) + 340 Simplify -3 + (sqrt(77)*-1 - sqrt(77))/sqrt(11). -2*sqrt(7) - 3 Simplify 1 + (sqrt(42)/sqrt(7))/sqrt(2) + 0. 1 + sqrt(3) Simplify sqrt(15)/(sqrt(605) - -3*sqrt(605)). sqrt(3)/44 Simplify (0 + (1*sqrt(78)*1 + sqrt(78))/sqrt(6))**2. 52 Simplify (sqrt(208) + sqrt(208) + -1)**2 + (sqrt(468) - (0 + sqrt(468) + sqrt(468) + sqrt(468))). -28*sqrt(13) + 833 Simplify (sqrt(72) + 1 + -3 - sqrt(72))*2*5. -20 Simplify -6*(sqrt(13) + -1) + sqrt(52) + 0. -4*sqrt(13) + 6 Simplify (-1*sqrt(13)*-1 - (sqrt(13) - ((1*sqrt(78))/sqrt(6) - sqrt(13))))**2. 0 Simplify (-2*2*sqrt(1331))**2 + 0. 21296 Simplify 6*((sqrt(156) - sqrt(156)*-2)/sqrt(12) + sqrt(104)/(-2*sqrt(8)))**2. 975/2 Simplify (sqrt(425) + 0)*3 + -1. -1 + 15*sqrt(17) Simplify (sqrt(2430) + -1*sqrt(2430))/((-2*sqrt(120))/sqrt(12)). 0 Simplify ((sqrt(448) - (sqrt(448) + -2 + -5)) + (sqrt(448) - (2 + sqrt(448) + -3)))**2. 64 Simplify (sqrt(165)/sqrt(3)*-1)/(sqrt(10)/sqrt(2)*-6). sqrt(11)/6 Simplify -4 + (sqrt(7) + sqrt(175))*-6. -36*sqrt(7) - 4 Simplify ((sqrt(75) - sqrt(3)) + -2)**2 + (sqrt(3) + 0 + sqrt(3) + -1)**2. -20*sqrt(3) + 65 Simplify 2 + (sqrt(63) - (sqrt(693)*1)/sqrt(11))**2 + -4. -2 Simplify (-5*(sqrt(102) + (sqrt(102) - sqrt(102)*1)) + sqrt(102))/sqrt(6). -4*sqrt(17) Simplify (-1 + sqrt(1300))**2*-5. -6505 + 100*sqrt(13) Simplify 0 + 3*sqrt(7) + sqrt(77)/(sqrt(11)*1 + sqrt(11)). 7*sqrt(7)/2 Simplify (sqrt(2)*1*-2)**2 + -6*(sqrt(2) - (sqrt(10)/sqrt(5))**2 - sqrt(2)). 20 Simplify sqrt(567) + (2*sqrt(567))**2*5. 9*sqrt(7) + 11340 Simplify -2 + 4 + (2 + sqrt(612))**2. 24*sqrt(17) + 618 Simplify (sqrt(11)*-1 + 1)**2*6 - (sqrt(1584)*1 + sqrt(1584) + (1*sqrt(11)*-1 + sqrt(11))**2). -36*sqrt(11) + 72 Simplify (5 + (sqrt(425) - -1*sqrt(425)))**2. 100*sqrt(17) + 1725 Simplify sqrt(52) + 1 + 0 + sqrt(117)/(sqrt(54)/(sqrt(6)*2)). 1 + 4*sqrt(13) Simplify ((sqrt(245)/(sqrt(7)*2))/((sqrt(7)*2 - sqrt(7))*-4))**2. 5/64 Simplify 1 + (sqrt(363) - 2*sqrt(363))**2. 364 Simplify ((sqrt(720)*1)/(sqrt(10) + sqrt(60)/(sqrt(42)/sqrt(7))))**2. 18 Simplify 2*(sqrt(2736) + sqrt(2736) + (sqrt(2736)*-3 - sqrt(2736))**2 + sqrt(2736)). 72*sqrt(19) + 87552 Simplify (-4*-6*(sqrt(13) - sqrt(52)) + 5)**2. -240*sqrt(13) + 7513 Simplify sqrt(11) + sqrt(11) + -1 + -1 + sqrt(11) + -4 - ((sqrt(11)*2 + sqrt(11) + 0)**2 + (-2*sqrt(176))**2). -809 + 3*sqrt(11) Simplify (1*sqrt(12)/sqrt(4) + sqrt(3)*2*-3)**2. 75 Simplify (-3 + sqrt(180) + -1 + sqrt(180) + (sqrt(180) - (sqrt(180) + -2))*-6)**2. -384*sqrt(5) + 976 Simplify (0 + sqrt(2448))**2 - (sqrt(51)/(sqrt(12)/sqrt(4)))**2. 2431 Simplify 4*(6*(3 + sqrt(19))**2 + (-2 + sqrt(19))*-6). 120*sqrt(19) + 720 Simplify sqrt(325)*-1 + 1. -5*sqrt(13) + 1 Simplify (6*(sqrt(19) + 4)*3)**2. 2592*sqrt(19) + 11340 Simplify (sqrt(95) + sqrt(95) + sqrt(95)*-1*1 + sqrt(95))/(sqrt(5) + (sqrt(5) - (sqrt(180) + sqrt(5)) - sqrt(5))). -sqrt(19)/3 Simplify (0 + sqrt(931))**2*2 + (2 + (sqrt(931) + 1 - sqrt(931)))**2. 1871 Simplify (sqrt(128) - (sqrt(128) + 0)) + sqrt(2) + (0 + sqrt(8))**2 + sqrt(8) + sqrt(2). 4*sqrt(2) + 8 Simplify (sqrt(2016)*-1 - sqrt(2016) - sqrt(14))/(sqrt(98) + (sqrt(98)*1 - sqrt(98))). -25*sqrt(7)/7 Simplify (sqrt(171) + (sqrt(171) - (sqrt(171) - sqrt(171)*1)))/sqrt(9) - ((sqrt(171)/sqrt(225))**2 + sqrt(19)). -19/25 + sqrt(19) Simplify (sqrt(38)*3 + sqrt(38))/sqrt(2) + -5. -5 + 4*sqrt(19) Simplify sqrt(70)/(sqrt(40)/sqrt(4)*5). sqrt(7)/5 Simplify -1*sqrt(684) - ((0 + sqrt(19))**2*1 + sqrt(19)). -7*sqrt(19) - 19 Simplify (-6*2*sqrt(70))/(sqrt(10) + sqrt(40)/sqrt(100) - sqrt(10)). -60*sqrt(7) Simplify (sqrt(44) - (sqrt(132)/sqrt(3))**2)*-2 + (((sqrt(264)*1)/sqrt(8) - sqrt(33)) + sqrt(33))/sqrt(3). -3*sqrt(11) + 88 Simplify (5*(3*sqrt(288) - sqrt(288)))**2. 28800 Simplify -6*(sqrt(1377)*1*-5)**2*-5. 1032750 Simplify (sqrt(192)/sqrt(4) + -2*-1*sqrt(3))**2. 108 Simplify (sqrt(180)/(sqrt(6) + -2*sqrt(6)))/(sqrt(10) - 5*sqrt(20)/sqrt(2))*-5. -5*sqrt(3)/4 Simplify -4*(sqrt(539)*-2)**2. -8624 Simplify ((2*(sqrt(288)*4 - sqrt(288)))/sqrt(9))**2. 1152 Simplify 3*(1 + sqrt(2) + (sqrt(162) - -1*sqrt(162))**2). 3*sqrt(2) + 1947 Simplify (-2*((sqrt(78) - (sqrt(78)*-2 - sqrt(78)) - sqrt(78)) + sqrt(78)) + sqrt(78) + sqrt(78))/(sqrt(6)*-2*3). sqrt(13) Simplify (sqrt(272) + (sqrt(272) + 0 + sqrt(272))*-3 + 1)**2*2. -80*sqrt(17) + 13602 Simplify -5 + ((sqrt(1008) - 5*sqrt(1008)*-1 - sqrt(1008)) + sqrt(1008) + sqrt(1008))**2. 49387 Simplify 4*(4 + sqrt(2) + -4). 4*sqrt(2) Simplify -4*sqrt(396)*1. -24*sqrt(11) Simplify 0 + 2 + sqrt(192) + sqrt(192) + (sqrt(192) + -2 + 3 - sqrt(192))**2. 3 + 16*sqrt(3) Simplify sqrt(88)/(sqrt(80)/sqrt(90)) - (5*sqrt(99)*-1)/sqrt(9). 8*sqrt(11) Simplify (-5*sqrt(240))/(sqrt(144)/(1*sqrt(12))). -10*sqrt(5) Simplify ((sqrt(2448) - (3*sqrt(2448) - sqrt(2448))) + -5)**2*-2. -4946 - 240*sqrt(17) Simplify -2 + (sqrt(432)*1*-3)**2. 3886 Simplify (sqrt(56) - (sqrt(672) + 1*sqrt(672) - sqrt(672))/sqrt(12))/sqrt(8). 0 Simplify -6*(sqrt(20)/(sqrt(20)/sqrt(2)) + sqrt(882) + sqrt(18)). -150*sqrt(2) Simplify -4 + -1 + sqrt(11) + sqrt(11) + sqrt(11) + sqrt(176) + -5. -10 + 7*sqrt(11) Simplify sqrt(20)/(-3*sqrt(1000)). -sqrt(2)/30 Simplify (sqrt(22)/((sqrt(88) + sqrt(88)*1)/sqrt(8)))**2. 1/2 Simplify sqrt(98) + (sqrt(98) + -4 - sqrt(98)) + -2 + sqrt(162). -6 + 16*sqrt(2) Simplify sqrt(60)/(sqrt(12) + -3*sqrt(588) + sqrt(588)). -sqrt(5)/13 Simplify sqrt(51)/(sqrt(3)*2*-4). -sqrt(17)/8 Simplify 0 + (sqrt(98) + -5*1*sqrt(98))**2. 1568 Simplify (sqrt(3402)*-3)/(2*sqrt(864)). -9*sqrt(7)/8 Simplify 2*sqrt(32) - (sqrt(2) - (2 + sqrt(4)/sqrt(2))). 2 + 8*sqrt(2) Simplify (-4 + 2 + sqrt(44)/sqrt(4))**2. -4*sqrt(11) + 15 Simplify (sqrt(11) - 3*sqrt(1100)) + (-3*sqrt(55))/sqrt(5). -32*sqrt(11) Simplify -1*sqrt(125)*2. -10*sqrt(5) Simplify (sqrt(133) + 3*1*sqrt(133))/(sqrt(84)/(2*sqrt(12))). 8*sqrt(19) Simplify (-3*1*sqrt(14))/(5*sqrt(2)*1 - sqrt(2)). -3*sqrt(7)/4 Simplify ((sqrt(70) + -1*sqrt(70))*-5)/(sqrt(1000)*-2 - sqrt(1000)). 0 Simplify -4 + ((sqrt(11) + sqrt(176) + sqrt(11) + 0)**2 - (sqrt(77)*1 + sqrt(77))/sqrt(7)). -2*sqrt(11) + 392 Simplify (4*(sqrt(1377) + 1) - sqrt(1377))**2. 216*sqrt(17) + 12409
Let c(w) be the third derivative of 0*w**5 + 0*w**3 + 0*w**7 + 0 + 0*w**6 + 13/168*w**8 + 13*w**2 - 1/2*w**4 - w. Find the second derivative of c(f) wrt f. 520*f**3 What is the second derivative of -31*l + 18*l**5 + 60*l**5 + 5*l**5 wrt l? 1660*l**3 Let r(x) = 2*x**2 + x. Let k be r(12). What is the second derivative of -k*j**4 - 4*j + 2*j + 0*j + 290*j**4 wrt j? -120*j**2 Let d(t) be the first derivative of 13*t**7/210 - t**3/2 + 8*t**2 + 23. Let a(q) be the second derivative of d(q). Differentiate a(g) with respect to g. 52*g**3 Let h(g) = -26*g**4 + 4*g**3 + 5*g + 1096. Let i(n) = 12*n**4 - 3*n**3 - 3*n - 548. Let z(x) = 3*h(x) + 5*i(x). Differentiate z(s) wrt s. -72*s**3 - 9*s**2 What is the second derivative of -2*q**4 - 59*q + 5*q**4 - 10*q**2 + 2*q**2 wrt q? 36*q**2 - 16 Suppose -x + 11 = 2*t, x - 25 = -x - 5*t. Suppose 0 = x*y - y - 20. Find the second derivative of 3*q**5 + 3*q - 3*q**5 + y*q**5 - q**5 wrt q. 80*q**3 What is the third derivative of -172*q**3 - 348*q**3 + 96*q**2 + 358*q**3 wrt q? -972 Let v = -7 + 9. Suppose 8 = -v*y + 12. What is the second derivative of 8*x**4 + 8*x + 222*x**2 - 222*x**y wrt x? 96*x**2 Let y(p) be the second derivative of p**6/16 - 3*p**5/20 - 7*p**4/2 - 24*p. Let w(o) be the third derivative of y(o). What is the derivative of w(h) wrt h? 45 Let a(b) = -107350*b - 129159. Let o(c) = -571*c - 687. Let i(j) = -3*a(j) + 565*o(j). Differentiate i(h) with respect to h. -565 Let u(m) be the third derivative of 0*m**4 - 4/105*m**7 - m**2 + 0*m + 0*m**6 - 1/60*m**5 + 0*m**3 + 0. What is the third derivative of u(w) wrt w? -192*w Suppose m - 2*m + 5 = 0. Suppose -42 = -q - m. Find the first derivative of 4 + 1 - 34*h**3 + q*h**3 wrt h. 9*h**2 Let v(b) = b**3 - 6*b**2 - 6*b - 3. Let k be -2 + 11 - (-6 + 8). Let l be v(k). Find the second derivative of h**2 + 18*h**4 - h**2 - 3*h - 13*h**l wrt h. 60*h**2 Find the first derivative of -14 - 13 + 174*j + 5 + 18 + 18 wrt j. 174 Differentiate -315*d**4 - 262 + 2386*d - 2386*d with respect to d. -1260*d**3 Let i(p) be the third derivative of -p**5/60 - p**4/12 + 31*p**3/3 - 31*p**2. What is the derivative of i(t) wrt t? -2*t - 2 Let t(k) be the second derivative of -2*k**7/21 + 7*k**5/10 + 23*k**3/2 + 392*k. Find the second derivative of t(o) wrt o. -80*o**3 + 84*o Suppose -111 = -5*g - 26. Let s be 4 - (3 - (22 - 2)). What is the second derivative of 3*x**4 - s*x + 6*x**4 + g*x wrt x? 108*x**2 Let w(s) be the second derivative of s**6/30 - 19*s**5/4 - 7*s**3/6 + 3*s**2/2 + 217*s. Find the second derivative of w(h) wrt h. 12*h**2 - 570*h Let q(z) = 97*z**2 - 47*z - 11. Let j(n) = -63*n**2 + 31*n + 7. Let b(g) = 8*j(g) + 5*q(g). Find the second derivative of b(x) wrt x. -38 Let j(f) be the third derivative of 23*f**6/15 - 191*f**4/12 - 199*f**2 - 2. Find the second derivative of j(p) wrt p. 1104*p Let k(n) be the first derivative of -4/5*n**5 + 5 + 0*n + 0*n**2 + 0*n**4 + 4*n**3. Find the third derivative of k(w) wrt w. -96*w Suppose -70 = -2*z - w, -2*w = 5*z + 2*w - 172. Let q = z + -26. Find the third derivative of -l**4 - q*l**5 - 6*l**2 + l**4 + 15*l**5 wrt l. 300*l**2 Let l(f) = -f**2 + f + 8. Let j be l(4). Let q be 6 + (1 - (-12)/j). Find the second derivative of -4*o - 39 + o**q + 39 wrt o. 12*o**2 Let g(x) be the second derivative of -x**7/42 - x**6/5 + x**3/6 - 4*x**2 + 197*x. What is the second derivative of g(m) wrt m? -20*m**3 - 72*m**2 Let w(i) = 89*i**3 + 77*i**2 - 6*i - 6. Let d(s) = 88*s**3 + 74*s**2 - 5*s - 5. Let o(t) = 6*d(t) - 5*w(t). Find the third derivative of o(x) wrt x. 498 Let h be 2/(-7) - (-46)/14. Let x(t) = -t**3 + t**2 + 2*t + 2. Let b be x(0). Differentiate -i**3 + 2*i**3 - b + 3*i**h with respect to i. 12*i**2 Let g be 9 + -11 + 78/13. Let v(o) be the third derivative of -12*o**2 + 0*o**5 + 13/6*o**3 + 0*o + 0 - 3/40*o**6 + 0*o**g. Differentiate v(m) wrt m. -27*m**2 Find the second derivative of -86*d + 82*d**2 + 39*d + 40*d wrt d. 164 Let b(q) be the first derivative of -106*q**7/7 + 190*q**3/3 + 184. Find the third derivative of b(i) wrt i. -12720*i**3 Let m = -20 - -24. Differentiate -2 - 1 - 2*c**m + 5*c**4 - 5*c**4 with respect to c. -8*c**3 Let g(o) be the third derivative of -199*o**4/6 + 125*o**3/3 + 255*o**2. Differentiate g(r) wrt r. -796 Let j(h) = 22*h**5 - 7*h**3 - 357*h**2 + 6. Let z(c) = c**5 - 2*c**3 - c**2 + 1. Let f(r) = -j(r) + 6*z(r). What is the third derivative of f(g) wrt g? -960*g**2 - 30 Let r(o) be the second derivative of o**9/2520 - o**7/420 + o**4 - 13*o. Let p(n) be the third derivative of r(n). Find the third derivative of p(y) wrt y. 144*y Let f(v) be the first derivative of v**8/56 + v**5/12 + v**2 - 2. Let g(t) be the second derivative of f(t). What is the third derivative of g(q) wrt q? 360*q**2 Let n(i) be the second derivative of 0*i**4 + 11/30*i**6 + 0*i**5 + 0 - 3/2*i**2 - 18*i + 0*i**3. What is the first derivative of n(h) wrt h? 44*h**3 Let l(y) be the second derivative of 0*y**2 + 5/6*y**3 + 7/6*y**4 - 6*y + 0. Find the second derivative of l(h) wrt h. 28 Let u(b) = 354*b**3 - 412*b**2 + 9. Let g(o) = 89*o**3 - 103*o**2 + 2. Let t(i) = 9*g(i) - 2*u(i). What is the third derivative of t(c) wrt c? 558 Let k(a) = 2*a. Let w(p) = 11*p + 13. Let o(h) = -h. Let u(q) = -5*o(q) + w(q). Let b(c) = 22*k(c) - 2*u(c). Differentiate b(r) wrt r. 12 Let c(k) be the third derivative of 1/35*k**7 + 1/5*k**5 + 6*k**2 + 0 + 0*k**6 + 0*k**3 + 0*k**4 + 0*k. Find the third derivative of c(d) wrt d. 144*d Let h(d) be the third derivative of -d**6/40 - 463*d**5/30 - 42*d**2 + 6*d. What is the third derivative of h(g) wrt g? -18 Let r = -58 + 64. Differentiate -16 - 7*x**3 + 18*x**3 + r*x**3 + 3*x**3 with respect to x. 60*x**2 Suppose -1 = 4*a - 41. Find the second derivative of -20*w**2 - a*w + 7*w + w**2 wrt w. -38 Let p(l) = -l - 13. Let s be p(-15). Let t be ((-2)/(-4))/(s/12). What is the first derivative of -6*u**3 - 3*u**t + 4 + 3*u**3 wrt u? -18*u**2 Let x(o) be the second derivative of o**5/2 - o**4/6 - 261*o**2/2 - 4*o. What is the first derivative of x(i) wrt i? 30*i**2 - 4*i Let g(n) be the third derivative of 163*n**7/210 + n**4/12 - 40*n**3/3 + 223*n**2. What is the second derivative of g(c) wrt c? 1956*c**2 Find the third derivative of -180*b**3 + 66*b**3 - 2 - 82*b**2 - 102*b**3 wrt b. -1296 What is the first derivative of -73 - 987*g**2 + 568*g**2 + 502*g**2 wrt g? 166*g Let m(o) = 85*o**2 - 161*o + 2. Let h(r) = -171*r**2 + 323*r - 5. Let b(g) = -2*h(g) - 5*m(g). What is the second derivative of b(d) wrt d? -166 Let b(l) = 205*l**2 + 14*l - 3. Let c(h) = 68*h**2 + 5*h - 1. Let x(u) = 3*b(u) - 8*c(u). Let k be x(1). Differentiate -75 + k - 3*v + 4*v with respect to v. 1 Find the second derivative of -20*g - 28*g + 121*g - 101*g**3 wrt g. -606*g Find the first derivative of -13*i + 28*i - 3*i**4 - 66*i + 656 - 8*i wrt i. -12*i**3 - 59 Let b(y) = -y + 14. Let r be (-11 - -6)*(-4)/2. Let f be b(r). What is the first derivative of 4*p**2 - 4 - 7 + f wrt p? 8*p Let x(s) = -238*s**3 + 284*s. Let g(k) = -2619*k**3 + 3123*k. Let v(o) = 4*g(o) - 45*x(o). Find the second derivative of v(r) wrt r. 1404*r Let a(x) be the second derivative of 0*x**3 + 0*x**4 + 0 - 3/10*x**6 - 13/2*x**2 + 12*x + 0*x**5. What is the derivative of a(l) wrt l? -36*l**3 Let c(k) be the second derivative of 11*k + 0 - 1/12*k**4 + 0*k**2 + 0*k**3 - 9/20*k**5. What is the third derivative of c(g) wrt g? -54 Let b(z) = -138*z**3 - 11*z + 1. Let v(i) = -134*i**3 - 10*i + 2. Let c(s) = 2*b(s) - 3*v(s). Find the second derivative of c(j) wrt j. 756*j Let i(y) be the first derivative of 17*y**2 - 92*y - 96. Differentiate i(d) with respect to d. 34 Let u(k) be the second derivative of -21*k + 0*k**3 - 25/12*k**4 + 0 + 28*k**2. Differentiate u(n) wrt n. -50*n Find the second derivative of -19*q - 6 + 2 + 4*q**5 + 8*q**4 + 6 + 11*q**5 wrt q. 300*q**3 + 96*q**2 Suppose 3*z - 14 + 8 = 0. Find the third derivative of -2*h + z*h + 16*h**3 - 9*h**2 - 5*h**3 wrt h. 66 Let s(t) = -t**2. Let l = -600 + 599. Let v = -5 + 9. Let b(g) = -11*g**2 + 3*g. Let w(j) = l*b(j) + v*s(j). Find the second derivative of w(n) wrt n. 14 Let g(d) be the second derivative of 0*d**3 + 9*d + 4*d**2 + 0 + 7/12*d**4. Differentiate g(u) wrt u. 14*u Let w be (-1)/9*-65 + 2/(-9). Suppose r = 5*x - x - 18, 3*r - 6 = 0. What is the first derivative of 4 + 1 + x*b**2 + 2*b**2 - w wrt b? 14*b Let q be 3/7 + 44/28. Find the third derivative of 4*m**5 + 13*m**q - 10*m**5 - 2*m**2 - 4*m**5 wrt m. -600*m**2
What is the second derivative of 7*p**5 - 2 - 2*p**2 + 1757*p - 1736*p + 4*p**5 wrt p? 220*p**3 - 4 Suppose 5*z = z + 5*q + 56, -3*z + 42 = 5*q. Suppose -2*b = -4*j + z, -1 = 3*j - 5*b - 8. Find the second derivative of -3*x**4 - 4*x + 0*x + x**j wrt x. -24*x**2 Let c be ((-6)/(-9))/(12/(-126)). Let i = c - -9. Find the third derivative of -2*f**i - 12*f**4 + 0*f**2 + 6*f**4 wrt f. -144*f Let v(r) be the first derivative of 941*r**2/2 + 50*r + 456. Find the first derivative of v(s) wrt s. 941 Let k(m) = 3. Let p(r) = 2. Let t(n) = 3*k(n) - 4*p(n). Let c(a) = -19*a + 12. Let v(l) = -c(l) - 6*t(l). What is the derivative of v(i) wrt i? 19 Suppose -3*m - 14 = -35. What is the second derivative of m*r**3 + 9*r**3 - 2*r + r**5 - 16*r**3 wrt r? 20*r**3 Let p = -33 - -18. Let z = -12 - p. Find the second derivative of 19*g**3 + 10*g - 10*g**3 - 9*g**3 - 5*g**z wrt g. -30*g Let m(c) be the first derivative of -135*c**4/2 - c**3/3 + 30*c**2 - 4*c + 974. Find the second derivative of m(k) wrt k. -1620*k - 2 Let r(a) = -5*a**3 + 9*a**2 + 10*a - 132. Let i(k) = 2*k - 1. Let f(n) = -6*i(n) + r(n). What is the second derivative of f(d) wrt d? -30*d + 18 Suppose 5*n + 5*s = 60, -2*s + 3*s - 40 = -5*n. Let u = -7 + n. What is the first derivative of 5*h**3 - h**3 + 0*h - 7 + u*h wrt h? 12*h**2 What is the second derivative of -h + 13*h + 88*h**3 + 12*h wrt h? 528*h Let h(c) = -379*c**3 + 4*c**2 + 4*c - 23. Let a(u) = -757*u**3 + 7*u**2 + 9*u - 44. Let g(z) = 4*a(z) - 7*h(z). What is the second derivative of g(l) wrt l? -2250*l Let x(n) be the first derivative of 0*n - 7/4*n**4 + 0*n**3 + 2 + 7/2*n**2. Find the second derivative of x(p) wrt p. -42*p Differentiate -14 + 7 + 21 + 203 - 76 - 510*m wrt m. -510 Let h(q) be the third derivative of -47*q**5/30 - 83*q**4/12 - 146*q**2. Find the second derivative of h(t) wrt t. -188 Suppose -5*c + 0*c - 5*m + 30 = 0, -c = -2*m. What is the third derivative of 4*a**c - a**4 + 2*a**4 - 8*a**2 wrt a? 120*a Let x = -7 - -7. Suppose x*y - 3*y + 6 = 0. Differentiate 6 - 2*b**y + 10*b**2 + b**2 + b**2 wrt b. 20*b Let r be 2/5 - (-28)/(-70). Differentiate -3 + j + r - 8*j**3 - j wrt j. -24*j**2 Let r = -40 - -40. What is the second derivative of r + 3*s + 14*s**2 - 30*s + 0 wrt s? 28 Let n(x) be the third derivative of -13*x**6/120 + 34*x**3/3 - 2*x**2 - 20. What is the first derivative of n(g) wrt g? -39*g**2 Let m be (9 + -10)/(1/(-5)). Let y(d) = 13*d**2 + 5*d - 7. Let i(q) = q**2 + q. Let r(c) = m*i(c) - y(c). Differentiate r(s) with respect to s. -16*s Let k(c) be the first derivative of -4*c**2 + 0*c**5 + 28 + 0*c**4 + 0*c**3 + 1/6*c**6 + 0*c. What is the second derivative of k(y) wrt y? 20*y**3 Suppose -q + 5*q - 8 = 0. Find the third derivative of 20*h**q + 2*h**5 - 8*h**5 + h**5 - 10*h**5 wrt h. -900*h**2 Suppose 4*a - 4*d = 112, 58 = 2*a - 0*d - 3*d. What is the derivative of 18*b + 12*b - a*b - 4 wrt b? 4 Let a be (36/(-20) - 3)*-5. Let z(j) be the first derivative of 26*j**2 - 4 - a*j**2 - 4*j - 1. Differentiate z(b) wrt b. 4 Let u(n) be the first derivative of -105 + 5*n**6 + n**6 + 23*n**2 + 137. Find the second derivative of u(c) wrt c. 720*c**3 Let m be (-68)/(-20) + 4/(-10). Suppose 0*f + 28 = m*z + f, -2*f = -3*z + 25. Differentiate 4*b**3 + 2*b**3 + b**3 + z with respect to b. 21*b**2 What is the second derivative of -13*h**2 + 9*h**3 + 11*h**2 - 99*h**3 + 68 - 61 - 3*h wrt h? -540*h - 4 Let x = 26 - 16. Let j = -4 + x. Differentiate 3*v**4 + 1 - v**2 + 7*v**2 - j*v**2 with respect to v. 12*v**3 Let i(m) be the first derivative of 5 - 25/3*m**3 + 0*m**2 + 3*m. Find the first derivative of i(z) wrt z. -50*z Let x(d) = d**2 + 7*d + 7. Let s be x(-7). Let h be -1 - s/((-7)/8). What is the derivative of 4 - h + 2 - 1 - 4*r wrt r? -4 Find the third derivative of 31*w**4 + 91*w + 85*w + w**3 - 160*w + 0*w**2 - 3*w**2 wrt w. 744*w + 6 Suppose 2*f + f + w = 6, 0 = 2*w + 6. Suppose 2*o - 15 = -f*o. Differentiate 2 + o*v**2 + v**2 - 7 wrt v. 8*v Let z = -52 - -61. Let g(m) = m**2 - 5. Let d be g(4). What is the second derivative of h**4 + 4*h - d*h + z*h wrt h? 12*h**2 Let m(u) = -580*u**2 - 258*u - 10. Let n(d) = 193*d**2 + 86*d + 3. Let a(q) = 3*m(q) + 10*n(q). What is the second derivative of a(y) wrt y? 380 Let z(y) be the second derivative of 0 + 23/20*y**5 + 8*y**2 + 0*y**3 + 16*y + 0*y**4. Differentiate z(p) wrt p. 69*p**2 Let n(z) be the second derivative of 1/3*z**3 + 11/2*z**2 + 8*z + 0. Find the first derivative of n(u) wrt u. 2 What is the third derivative of 101*c**6 + 180*c**6 - 50513*c**2 + 50873*c**2 wrt c? 33720*c**3 Let l(f) be the second derivative of 0 + 0*f**3 + 0*f**4 - 2/5*f**6 + 3*f - 19/2*f**2 + 0*f**5. Differentiate l(z) with respect to z. -48*z**3 Let j(h) be the second derivative of -h**6/6 - 3*h**5/20 - 153*h**4/4 + 300*h. Find the third derivative of j(w) wrt w. -120*w - 18 Let p(n) be the third derivative of n**9/84 - n**6/12 - 17*n**5/60 + 516*n**2. Find the third derivative of p(q) wrt q. 720*q**3 - 60 Let i = -218/39 - -90/13. Let w(g) be the first derivative of i*g**3 - 3/5*g**5 + 0*g**4 - 2 + 0*g + 0*g**2. What is the third derivative of w(s) wrt s? -72*s What is the third derivative of 0*f**3 - 2*f**3 + 346*f**2 - 173*f**2 + 24*f**5 - 172*f**2 + 7 wrt f? 1440*f**2 - 12 Suppose 0*g + 52 = 2*g. Let b(h) = 103*h + 415. Let s be b(-4). Find the first derivative of -16 + 28*l**4 + s - g*l**4 wrt l. 8*l**3 Let y(v) = 61*v**2 + 64*v + 5. Let t(n) = -62*n**2 - 65*n - 4. Let z(h) = -6*t(h) - 5*y(h). What is the second derivative of z(a) wrt a? 134 What is the second derivative of 480*j**5 - 29*j**4 - 2*j - 23*j**4 - 22*j**4 + 74*j**4 + 408 wrt j? 9600*j**3 Let j(l) = -l**2 - 7*l - 8. Let f(r) = r**3 + 5*r**2 - 3*r + 13. Let u be f(-6). Let z be j(u). Differentiate -z*c**2 + c**2 + 13 - 8 with respect to c. -2*c Let g(b) = -5*b + 4*b + 2 - 3. Let h be g(-5). What is the third derivative of -6*i**4 + 12*i**2 + 16*i**h - 5*i**2 wrt i? 240*i Let a(x) = -3*x**2 + 49*x - 14. Let r be a(16). Let u(l) be the first derivative of -3*l - 5 + 3/2*l**r. Find the first derivative of u(m) wrt m. 3 Let p(s) be the first derivative of 0*s**4 + 0*s**2 - 31/5*s**5 - 6 + 0*s - 32/3*s**3. Find the third derivative of p(j) wrt j. -744*j Let r(f) be the third derivative of -47*f**8/84 - 2*f**4/3 + f**3/6 - 13*f**2 + 1. Find the second derivative of r(o) wrt o. -3760*o**3 Let r = 5 - -25. Let f be 2*r*2/8. Differentiate -l**4 + f - 25 + 13*l**4 with respect to l. 48*l**3 Let x(h) be the first derivative of 12*h - 2/3*h**3 + 2/3*h**6 - 22 + 1/5*h**5 + 0*h**4 + 0*h**2. What is the third derivative of x(f) wrt f? 240*f**2 + 24*f What is the second derivative of -171*n**4 + 4695 - 4695 + 165*n wrt n? -2052*n**2 What is the second derivative of 16014*k**3 + 1 - 20*k**5 - 16014*k**3 - 24*k wrt k? -400*k**3 Find the second derivative of -288*i + 1 - 390*i + 540*i + 256*i**4 wrt i. 3072*i**2 Find the second derivative of -38*i**2 + 268*i**2 - 113*i**2 - 102*i wrt i. 234 Let n = -13 + 17. What is the second derivative of -n*d - 9*d**4 + 6*d + 4*d wrt d? -108*d**2 What is the third derivative of -2*c**3 - 14*c**2 + 0*c**3 - 11*c**2 - 19*c**2 + 46*c**5 wrt c? 2760*c**2 - 12 Let t be 5/(-2)*(-4)/5. Let l be (13/(-5))/(t/(-10)). Find the second derivative of 3*q**3 - 2*q**3 - l + 7*q + 13 wrt q. 6*q Differentiate 0*s + 3*s - 4*s - 314 + 14*s**2 - 36 + 14*s**2 wrt s. 56*s - 1 Let k = -31 + 34. Find the third derivative of -k*q**5 + 6*q**2 + 3*q**2 + 2*q**5 - 3*q**5 wrt q. -240*q**2 Let m(t) = -25*t**3 - 8. Let s(l) = l**3 - 1. Let b(k) = 3*m(k) - 6*s(k). Differentiate b(y) with respect to y. -243*y**2 Let j(f) be the first derivative of 0*f + 8/3*f**3 - 9/2*f**2 + 15. Find the second derivative of j(a) wrt a. 16 Let b(s) = 9*s**4 + 92*s - 2. Let d(c) = 8*c**4 + 93*c - 3. Let h(m) = -3*b(m) + 2*d(m). Find the second derivative of h(q) wrt q. -132*q**2 Suppose -3*j - 9 = j + 3*h, -3*h = 9. Suppose j*s - 30 = -5*s. What is the second derivative of 3*x**3 + 3*x + 3*x**3 - x**3 - s*x wrt x? 30*x Let i(k) be the third derivative of 161*k**6/40 + k**5/20 - 14*k**3/3 + 830*k**2. What is the third derivative of i(r) wrt r? 2898 Let u be (-2 - (3 + -5))/(-2). Suppose 2*l + u*l = 14. What is the derivative of l - 6 - 2*r + 3 wrt r? -2 Let a(r) be the third derivative of 0*r**6 - 9*r**2 - 2/105*r**7 + 0 + 1/2*r**3 + 0*r + 0*r**5 + 0*r**4. What is the derivative of a(w) wrt w? -16*w**3
Let a = -134 - -124.4. Let q = a - -9. Is q at most as big as 0.1? True Let x = 120 - 132. Let p = x - -12.1. Is -77 < p? True Let z = 4998 + -5005. Which is greater: z or 7/12? 7/12 Let l = -1806/37 + 250946/5217. Let z be 32/(-40)*15/(-282). Let b = z + l. Is -1/6 at most as big as b? False Let y = 17.748 + -217.748. Is -5/7 smaller than y? False Let i = 80.005 + -0.005. Let w = i + -35. Let c = w - 46. Is c at most as big as 34? True Let c(q) = 224*q - 8 + 0*q**2 + 5*q**2 - q**3 - 219*q. Let g be c(7). Let o = -59 - g. Which is greater: o or 8? o Let k(f) = f**2 - f - 6. Let a be k(-4). Let j = -15 - a. Let g = 29 + j. Which is bigger: g or 5/7? 5/7 Suppose -21*t = -54*t - 118*t. Which is smaller: -46/197 or t? -46/197 Let f = -6989 - -6992. Which is greater: f or 2? f Let j = 154 + -158. Let k be 206*j/4200 - 3/(-15). Which is smaller: k or 0? 0 Let d be -4 + 4 + (-282)/(-11). Let t = d + -25109/979. Suppose -4*j + j = 3. Is j at most as big as t? True Let k = -452 + 444. Let o(z) = 5*z + 43. Let q be o(k). Which is smaller: q or 43/10? q Let b(t) = -18*t**2 - 7*t - 163. Let h be b(0). Is -176 smaller than h? True Let h = 2.476 - 5.476. Which is smaller: 270 or h? h Let y = -645 - -480. Let g be 15/10*44/y. Which is bigger: g or -3/62? -3/62 Let l = 358186 - 2503184/7. Let u = l + -588. Which is greater: u or -4/3? u Suppose 463 - 184 = -3*b - q, -4*b - 3*q - 367 = 0. Is b >= -1605/17? True Suppose -11*v - 15*v - 3120 = 0. Let z be v/(-150) - (-4)/(-5). Let y = 74/93 + -4/31. Which is bigger: y or z? y Let v be (-24)/(-44)*(325/1612)/25. Which is smaller: 0.03 or v? v Let a be 25/(-1 + 6) - 6/2. Let v be ((-1)/12)/(a/(-15)). Is v greater than 1? False Let r = -88679/3 + 29611. Let k be -1 + -1 + (50 - -2). Is r at most k? False Suppose 0 = -s - 4. Let x = s - -4. Let k = 525/2 + -17333/66. Which is smaller: x or k? k Let f = 728.8 - 70.8. Let j = f - 655.11. Is j smaller than 1? False Let f = 0.2 - 0.4. Suppose 3*m - 4*d + 48 = 0, -4*m - 2*d - 77 = -3*d. Let w be (-2)/4 - -2*(-55)/m. Is f at most as big as w? True Let o = 44/5349 - 532645/64102416. Which is greater: o or 1? 1 Let m be (0 - -1)*(25 - 1683/(-18)). Are m and 2/13 equal? False Suppose -1 = -3*l + 11, 4*l - 5740 = -4*x. Is 1433 < x? False Let x = 2782 + -194737/70. Let c be 1729/117 - 7/((-126)/4). Suppose -f = 2*v - 5, -f = v - c + 11. Is v > x? True Suppose 714 = 26*x + 8*x. Suppose -f = -5*f + 3*z + 78, 0 = 5*z - 10. Is x < f? False Suppose 57*i - 9050 - 7879 = 0. Which is smaller: 299 or i? i Let d = -0.52227 - -0.05227. Which is bigger: 2/19 or d? 2/19 Let m = -5944 + 5944. Which is greater: 2/5143 or m? 2/5143 Let t be (15/(-9))/(-5)*2. Suppose 4*k - 4*q + 20 = 0, 6*k - 4*q = k - 30. Let s(u) = u**2 + 13*u + 11. Let v be s(k). Which is smaller: v or t? v Let y = 15.7 - 46.7. Which is smaller: -0.1 or y? y Suppose 2*c - 13 = -i, 2*c + 25 = 3*i + 2. Suppose 3*n - 3 = -4*t, t - 2*t - n = -2. Let h be (3 + t)/1 + -1 + 8. Is i at least h? True Let s = -79 - -147. Let k be (s + 7)/(1 - 0) + 3. Suppose n - 47 = -5*a + 10, -2*n = a - k. Do 35 and n have the same value? False Suppose 24*t - 114538 + 45058 = 0. Which is smaller: t or 2896? t Let w be ((-909)/(-27))/(1/(-3)). Let z = w + 110. Let x(a) = a**2 - 6*a + 9. Let y be x(6). Is z < y? False Let o = -248 + -324. Let s be (-1)/o*(-224)/(-140). Which is smaller: s or -1? -1 Let v be (-440)/(-2310)*(-6)/(-37). Which is bigger: v or 0? v Let t = 164 + -308. Let j = t + 1590/11. Which is smaller: -4 or j? -4 Let j = 125.9589 + 0.0211. Let v = -126 + j. Are 0 and v non-equal? True Let q(b) = -b**3 + 4*b**2 + 2*b - 3. Let z be q(4). Let j = z - 9. Suppose 39*n = 8*n - 44*n - 450. Which is bigger: n or j? j Let l be 184/3 + 0 + 56/84. Let a(z) = 10*z**2 - 15*z - 40. Let u be a(4). Is u less than or equal to l? True Let c = -904 - -520. Let h = c + 5761/15. Which is smaller: h or 1? h Let d = -0.069 + 0.036. Let x = 0.284 - 0.217. Let a = d - x. Which is smaller: a or -1? -1 Suppose -288 = -22*g - 10*g. Let w be 72/(-5888)*(-12)/g. Is 0 greater than w? False Suppose -293 = -10*i + 57. Suppose -10*b - 25 + i = 0. Let a = 5687/15 - 379. Which is smaller: a or b? a Let j(b) = -b**2 + 55*b + 1314. Let i be j(73). Are i and -2/20655 equal? False Let v = 435 - 1. Let h = -434 + v. Is h equal to -14/73? False Let n = 34636 + -34521.128. Let v = n + -115. Which is smaller: v or 2? v Let t = 5337/5 + -176251/165. Let v be 219/(-146)*(4/(-6))/(-1). Is v bigger than t? False Let g be ((-25)/5)/(-5)*(-1 + 12). Suppose -g*q + 4 = -9*q. Suppose q - 5 = 3*x. Is x greater than 18? False Suppose -30*g - 399 - 1662 = -39*g. Is 233 >= g? True Let k = 0.00197 + -0.10197. Which is smaller: 13037 or k? k Let y(f) = 28*f + 58. Let v be y(6). Let k(z) = -2*z**3 + 18*z**2 + z + 3. Let p be k(6). Which is greater: p or v? v Suppose -2*w - 3*w = 0. Let r be (9/3780)/(5 + 333/(-72)). Which is smaller: w or r? w Suppose 3*z - 5*z - 3*y - 2352 = 0, 0 = 4*z - y + 4676. Let u = z + 8175/7. Suppose 8 = -4*a - c, -3*a = 4*c - 0*c + 6. Which is smaller: a or u? u Let j = -10.002 + 0.002. Let o = 21 + j. Let u = -1.08 - -0.08. Which is greater: o or u? o Suppose -3*c - 6*g + g = -45, 2*c = 2*g + 30. Suppose c*p = 20*p - 165. Which is bigger: p or 35? 35 Let t be -5 + 5*96/20. Suppose 4*o + 21 = 4*r - t, -3*o + 18 = 5*r. Which is greater: 3 or r? r Suppose -21 = 4*d + 3*u, 0 = d - 2*d + 3*u - 9. Let k be (6*(-4)/d)/2. Suppose -k*b = -0*b + 104. Which is smaller: b or -53? -53 Let r(t) = -4*t + 35. Let w be r(-5). Suppose 5*z - w = 9*z + 5*m, -3*z = m + 33. Is z at least as big as -16? True Let q = -45 - -46. Let j = -139 - -136. Is j >= q? False Let m(y) = 5*y + 6. Let c be m(-2). Let i be c + 6 + -4 + 5. Suppose -5*k + 4*z - 11 = -2*k, -k + i*z - 7 = 0. Which is greater: k or 6/23? 6/23 Let p = 540928/7 - 78760. Is p > -1484? False Let k = -25.3 + 25. Let g = -238 - -238.3. Which is smaller: g or k? k Let b(n) = 80*n + 1728. Let d be b(-26). Are d and -2 unequal? True Let n be 42/105 - (1608/(-40))/(-3). Which is smaller: n or -410/29? -410/29 Suppose -7*a = -26 + 5. Let y be (1 - -1 - a) + 40. Let o = y + -37. Which is smaller: o or 6/7? 6/7 Let a be 6 - 118/6 - -14. Is -1615 <= a? True Let h(i) = 171*i + 8940. Let s be h(-66). Are -11734/5 and s unequal? True Suppose 0 = 4*b - 4*s + 4700, -3*b + 3*s = -7*b - 4665. Is b greater than or equal to -1171? True Let a(t) = -t**3 - 11*t**2 - 2*t - 17. Let g be a(-11). Let q(r) = 14*r - 1. Let w be q(7). Suppose g*v = w + 33. Which is smaller: v or 25? 25 Let x = -9488/3 - -3458. Is x greater than 295? True Let c be 7/((1/955)/(33/605)). Let a(w) = -w**3 - 4*w + 6. Let j be a(7). Let n = c + j. Which is bigger: n or -1? n Let k be (-4)/5 + (-3 - (-1048)/(-40)). Let x = 3 + k. Suppose 4*f + 108 = -0*f. Is f less than x? False Let x be 266/171 + 3761/(-2412). Which is smaller: x or 5? x Let m = 49691/2964 - 218/13. Which is smaller: m or 17? m Let k = -4873/2 - -2307367/947. Do k and -1 have different values? True Let v = -4.318 - -4.418. Is 84 less than v? False Let m = -375 + 374. Let k = -5.8 + 2.8. Let s = 3.17 + k. Which is smaller: s or m? m Let i = -4.2 + 7.8. Let k = 36 + -33. Let j be 1*(-4)/k - 10/15. Which is smaller: j or i? j Suppose 0 = -2*k - t - 206, 823*t = -k + 821*t - 103. Is k > -124? True Suppose -322 + 127 = r. Let y be -200 + -1 + (-15)/(195/(-91)). Which is smaller: y or r? r Suppose -2*f - 297 = 7*f. Let b = 132 + f. Is 100 less than b? False Suppose -2*r + 2*r = -6*r. Let b be (-16)/20 - ((-129)/255 - r). Let z be -2 - -2 - (-1 + 1). Which is smaller: b or z? b Suppose -2*l + 6 = r, -l - 4*l = 2*r - 7. Let z(o) = 2*o + 7. Let t be z(-5). Let b be t/(-8)*r/276. Are 1 and b non-equal? True Suppose 438 = -2*c - 2352. Let q be c/(-40) - (-3)/24. Are q and -2 nonequal? True Let y be (-3051)/126 + (-15)/18. Which is smaller: -24 or y? y Let n(k) = -k**2 - 10*k - 12. Let i be n(-12). Let t = i + 85. Let l be 35/t - 2/(-7). Is -4/29 not equal to l? True Let y be ((-500)/15)/(-5)*51. Let x = 3698/11 - y. Let g = -579/143 - x. Which is greater: 1 or g? 1 Let a be ((-27)/15 - -2)*(1243 - 1). Is 249 at most as big as a? False Suppose -190666 - 27017 = 45*t - 112*t. Which is smaller: t or 3252? t Let q = -0.0643 + -27.8357. Let z = -23.1 + q. Which is smaller: 1 or z? z Suppose -234*d + 128*d - 420 = -120*d. Let z = 0.11 - 0.01. Are d and z non-equal? True Let g(s) = -6*s + 131. Let k be g(22). Let h = 2.07 - 107.07. Which is smaller: k or h? h
Suppose -2*w + 2*o + 10 = 0, 4*w = -w + 4*o + 22. Suppose x + 3 = -2*q + 11, -19 = -5*q - 2*x. Solve w*g + q*g - 5 = 0 for g. 1 Suppose 0 = 20*k - 3*k - 68. Solve k + 0 = u for u. 4 Let h be (-2)/(-8) - 2/((-32)/60). Solve -h = 6*f - 2*f for f. -1 Let n = -3 - -7. Suppose n*s - 2*s - 6 = -3*v, -8 = -4*v + 4*s. Solve -4*y - v + 18 = 0 for y. 4 Suppose 0 = 2*l + 2*u - 12, 0 = -0*u + 4*u - 8. Solve -q = -l*q for q. 0 Suppose -m = -4, -3*d = d - 2*m. Solve 0 = -2*y + 6 + d for y. 4 Let y(n) = -6*n + 65. Let o be y(9). Solve 3*d - o = 1 for d. 4 Let p(m) = m - 3. Let d be ((-8)/6)/((-6)/27). Let r be p(d). Suppose -r*l = -2*o - 36, -55 = -4*l - 0*l + 5*o. Solve 4*g = -g - l for g. -2 Let p(i) = -5*i - 2. Let y(f) = 2 - 3 - 1 - 6*f. Let v(c) = -7*p(c) + 6*y(c). Let b be v(0). Solve b*o - 3*o = 4 for o. -4 Let m(r) = -r + 11. Let p be m(11). Solve 5*f - 1 - 19 = p for f. 4 Suppose 22 = -g - 4*y + 5, 3*g = 4*y + 29. Let d be (-32)/(-6) + 2/g. Solve 6 = -3*a + d*a for a. 2 Let u(q) = q**3 - 2*q**2 + 2*q - 2. Let a be u(2). Suppose 4*h = -3*t - t + 8, -4*t = -3*h + 13. Solve a*i - 5 = -h*i for i. 1 Let k = 4 - 3. Suppose -5 = -3*c + d - k, 2*d - 6 = -c. Suppose -l = i - 5, -4*i + c*l + 52 = -2*l. Solve -3*y + i = -0 for y. 3 Let d be 3*(3 - 2) - 2. Let f be (30/(-40))/(d/(-20)). Solve 5*g = -0*g + f for g. 3 Suppose -5*v - 100 = 5*n, -6 = 4*v - n + 54. Let z = 16 + v. Solve z = -3*q - 7 + 16 for q. 3 Suppose 12*r = 15 + 9. Solve r*j = 5 + 5 for j. 5 Let x(h) = h**2 - h + 3. Let v be x(3). Let k(p) be the first derivative of -p**3/3 - 2*p**2 - 3*p + 1. Let i be k(-2). Solve 0 = -4*m - i + v for m. 2 Suppose j = 2*j - 2. Let r be 970/110 - 4/(-22). Solve -j*w = -r + 3 for w. 3 Suppose 2*u = 3*y - 19, -4*y + 2*y + 18 = -4*u. Suppose -y*p + 12 + 3 = 0. Solve 6*s - 12 = p*s for s. 4 Suppose 0*o + 2*o = 50. Solve -2*f = -7*f + o for f. 5 Let w = -5 + 8. Let c = 4 - 2. Let q = w + c. Solve q*x = 4*x + 3 for x. 3 Suppose r + 12 = -o + 6*o, -o - 2 = 2*r. Suppose o + 0 = q. Suppose -5*m - l + 30 = -0*m, -3*m + 4*l = 5. Solve q*x - m*x = 0 for x. 0 Suppose 2*j = -3*g + 9, 2*g = -2*j - 1 + 7. Solve p = -j*p + 1 for p. 1 Suppose 4*j - 11 + 3 = 0. Suppose -j*z = 2*z - 32. Solve 0 = 3*u - z*u for u. 0 Let d = -8 - -14. Let j(s) be the second derivative of s**5/20 + 11*s**4/12 + 11*s**3/6 + 6*s**2 - 2*s. Let h be j(-10). Solve -h*y + d*y = -20 for y. -5 Suppose 8 = 5*q - 2. Solve 6 = 2*m - q for m. 4 Suppose 0 = w + 4*p - 12, -3*p - p + 12 = -3*w. Let j be 1 - -1 - (w + -2). Solve b = 2*b + j for b. -4 Suppose 5*t + 2 = 27. Suppose -4*h + 4*d = 0, 2*h + t*d = -3*h + 20. Solve 0 = -5*f + h*f + 6 for f. 2 Let i be (0/1)/(-1 + 3). Let j be (-4)/2 + 2 + i. Suppose -3*t + 2*t = j. Solve 1 = -d - t for d. -1 Let o = -23 - -27. Solve -4*a - o = -2*a for a. -2 Suppose -1 + 3 = -2*s. Let r(n) = 5*n**2 - n. Let m be r(s). Let b(o) = -o**3 + 5*o**2 + 6*o + 6. Let y be b(m). Solve -5*h = -4 - y for h. 2 Let t(x) = -x. Let l be t(2). Let p be ((-40)/l)/2 + -1. Suppose p*c - 30 = 4*c. Solve -2*u + 5*u + c = 0 for u. -2 Suppose 9*r - 7*r - 6 = 0. Let v be 2/(4 - 2) - 0. Let z be (v/(-3))/((-1)/6). Solve r + 5 = -z*p for p. -4 Let m = 7 - 4. Suppose 8 + 7 = -m*k. Let g = 10 + k. Solve -g*z + 14 = -11 for z. 5 Suppose -2*s + 16 - 1 = 3*l, -3*s - 4*l = -20. Solve 0 = -x - s*x for x. 0 Let t(f) = f**2 - 2*f + 4. Let b be t(7). Suppose 37 = 4*v - b. Suppose d + 5*k = v, 4*d - 4*k - 7 = -3. Solve d*z - 15 = z for z. 5 Suppose -5*l + 2 = 22. Let k = l + 9. Solve -3*y = 7 + k for y. -4 Suppose x - 9 - 56 = -4*z, 0 = 3*z + 3*x - 60. Solve -6*y + 9 + z = 0 for y. 4 Suppose 18 = 3*h + 3*z, -h = -3*z + 13 + 1. Solve 0 = 3*v - 4 + h for v. 1 Suppose -23 = 3*l + 28. Let o = l - -24. Solve -10 = -2*f + o*f for f. -2 Suppose 0*d + 11*d - 33 = 0. Solve 0*m = d*m for m. 0 Suppose -5*b + 0*b + 15 = 0. Suppose -73*i - 7 = -80*i. Solve b = -4*j - i for j. -1 Let s be (-50)/(-6) - (-2)/(-6). Let k = s - 8. Solve k = -2*y - 3*y + 10 for y. 2 Let d(t) = -t**3 + 6*t**2 - t - 1. Let g be d(5). Solve 3*b + g = 4 for b. -5 Suppose -12 = -2*r - 2. Solve -r*u + 12 = -2*u for u. 4 Suppose 0 = 2*u + 16 + 12. Let a = -5 - u. Solve 0 = 3*r - 24 + a for r. 5 Let p be 2/17 - 6/51. Solve p = -3*j - 0*j + 3 for j. 1 Suppose f = 4 + 3. Suppose f*v = 4*v. Solve v = 2*h - 6*h for h. 0 Let l(t) = t + 12. Let f be l(-7). Suppose f*x - 13 = 32. Solve x = -4*h + 25 for h. 4 Suppose 0 = u - 2 - 0. Solve u*c + c = 0 for c. 0 Let l(y) = y**2 - 16. Suppose 3*f + 2*a + 2 = 2*f, 0 = -5*f + 5*a + 50. Let q be l(f). Solve -3*k - q = k for k. -5 Let v(u) = -u**2 - 2*u + 3. Let f be v(-5). Let a = f + 19. Solve 4 = -3*t + a for t. 1 Let x(s) = -27*s - 24. Let a(z) = 14*z + 12. Let d(p) = -5*a(p) - 2*x(p). Let f be d(-9). Let v be (-1)/(-3) - f/(-9). Solve -8*r = -3*r - v for r. 3 Suppose 12*a = 21 + 15. Solve 4*b + 1 = -a for b. -1 Suppose 1 = -v + 3. Suppose 0 = -2*o - 2*p + v, -5*o = 2*p - 5. Solve 3*r = o - 4 for r. -1 Suppose 9*w = 4*w. Let s(v) = v**2 + 3*v - 4. Let c be s(-4). Solve w = -c*b - b for b. 0 Suppose 2*x + x = 12. Let q(k) = -k**2 + 10*k. Let i be q(10). Solve i = -x*z + z for z. 0 Let q(w) = -w**3 - 7*w**2 - 6*w + 8. Let i be q(-6). Solve -3*p = -i*p + 10 for p. 2 Let f = -8 + 34. Let r be f/7 - (-2)/7. Let s be ((-8)/10)/(r/(-10)). Solve -3*g + 8 = s for g. 2 Suppose 0 = -2*m + 6, 2*j - 4*m + 1 = -7. Suppose 4*s + 36 = 3*q - 0*s, -5*s + 48 = 4*q. Solve 0 = -5*a - j + q for a. 2 Let d(r) = -r**2 - 5*r - 4. Suppose 0*g - g - 3 = 0. Let s be d(g). Let t be 2*1/((-1)/(-10)). Solve 7*j - s*j = -t for j. -4 Suppose 5*j + 19*j = 120. Solve 0 = j*n - 4*n - 2 for n. 2 Let b(j) = j**3 - 6*j**2 + 5*j + 5. Let y be b(5). Suppose 0*s + 20 = 3*o + 2*s, 2*o - 28 = -5*s. Solve f = -o*f + y for f. 1 Let q(h) = -5*h**3 - 1. Let d be q(-1). Solve -25 = z + d*z for z. -5 Let s = -1 - -6. Let p = s - 5. Solve 3*g + 0 - 6 = p for g. 2 Suppose -5*h = 3*x + 13, -5*h - 13 = -2*x - 5. Let f be 3*4*x/(-6). Solve -3*l = -f*l for l. 0 Suppose 5*l + 4 = 19, -4*l = -4*a - 36. Let f(p) = p**3 + 6*p**2 + p + 7. Let m be f(a). Solve 0 = -5*h + 4 + m for h. 1 Suppose 3*j - 18 = -3*h, 3*h + 0*h - 15 = -2*j. Suppose x + 3*w - 14 = j, 0 = 2*w - 8. Solve i - 16 = x*i for i. -4 Let q be 3 + (4 - 10/2). Solve q*k + 2 + 6 = 0 for k. -4 Let t(b) = b**2 + 5*b + 4. Let l be t(-3). Let f be 2*l/4*-3. Solve f*j + 2*j = 0 for j. 0 Suppose 3 - 1 = 2*h + i, -3*h - i + 5 = 0. Solve -7*w = -h*w - 4 for w. 1 Let q = 64 + -54. Solve -4*p + 6 + q = 0 for p. 4 Let o be 2/3*15/(-10). Let u be 1/(1/4) + o. Suppose z + u*j + 9 = 0, -2*j = z + 3 + 2. Solve 3 = z*n + 15 for n. -4 Suppose -4*l = -l - 6. Solve -l = 5*r - 3*r for r. -1 Suppose -5*y + 4*d + 5 = 0, d - 3 = -3*y + 4*d. Solve n + 2 - y = 0 for n. -1 Let a(q) = q**3 - q - 1. Let t(u) = -4*u - 2. Let r(d) = 3*a(d) - t(d). Let h be r(1). Solve 0*o = -h*o - 6 for o. -2 Let x(l) = -8*l - 2. Let q be x(-2). Let k(g) = 11*g + 3. Let n be k(3). Let v be (-3)/(n/8)*-3. Solve 0 = 4*p + v - q for p. 3 Let h be ((-78)/9)/((-6)/9). Let z be 2/h + 2/(-13). Solve -2*y - 4 = -z*y for y. -2 Let c(j) = -j**3 - 6. Let h be c(0). Let s(b) be the third derivative of -b**4/24 - b**3/3 + b**2. Let n be s(h). Solve 3*u - 8 - n = 0 for u. 4 Suppose -2 = -4*g - 3*z, 4 = -2*g + 5*g + z. Solve g*l + 3 = -1 for l. -2 Suppose 0*w + 8*w = 16. Solve w*v - 9 = -1 for v. 4 Suppose m = -5*d + 26, -3*m - 4*d + 14 = -5*d. Suppose -m*w + w = 0. Solve w*i = i for i. 0 Let u = 2 + -4. Let i = u - -2. Solve i*f = 5*f for f. 0 Suppose -3*o + 3*j = -6, -10 = 4*o + 5*j - 27. Solve -o*p = -7*p + 12 for p. 3 Let a = -59 + 62. Solve -2*u + u = a for u. -3 Suppose -3*t + 2*t + 5 = 0, 3*y - 5*t + 25 = 0. Suppose -2*q + 3 = -q. Solve y = -q*r - r for r. 0 Suppose 5*r = r. Solve -4*t - 6 + 2 = r for t. -1 Let c = -52 - -66. Solve -13*r + c*r = -1 for r. -1 Let p(c) = 5*c - 20. Let m be p(8). Suppose d = 2*d - m. Solve 0*x = -4*x + d for x. 5 Suppose 4*o - 25 = -o. Solve 10 = -o*g - 0*g for g. -2 Let d be (-2 - (-5)/2)*0. Suppose -15 = -2*m - m. Suppose -t + m + 3 = 0. Solve -3*a - a - t = d for a. -2 Let a = 3 - -8. Solve 0 = -a*b + 12*b for b. 0 Suppose -12 = 4*d - 7*d. Solve 0 = -6*u - d - 20 for u. -4 Suppose 32 - 20 = -3*c. Let b(i) = -6*i - 4. Let o be b(c). Solve 0 = -3*r - r - o for r. -5 Suppose 5*i - 1 = -3*v, -3*i - 3*v = -0*v + 3. Let d be (2 - i)*(-1)/1. Solve d = -3*s + 4 + 2 for s. 2 Suppose d - 19 = -4*u, -4*d + 0*u - 2*u = -20. Solve 0 = -d*v - v + 4 for v. 1
Convert 0.219555 nanometers to meters. 0.000000000219555 What is thirty-one halves of a litre in millilitres? 15500 How many millilitres are there in 7/8 of a litre? 875 How many litres are there in 236.2199ml? 0.2362199 How many minutes are there in 4/3 of a day? 1920 How many micrometers are there in 60.9545 centimeters? 609545 What is 7/3 of a decade in months? 280 How many weeks are there in 999580.743s? 1.6527459375 How many tonnes are there in 0.8752949g? 0.0000008752949 Convert 0.8257169 millimeters to meters. 0.0008257169 What is one sixth of a week in hours? 28 What is 3/50 of a microgram in nanograms? 60 How many weeks are there in 161546653.8ns? 0.0000002671075625 What is 8/25 of a gram in milligrams? 320 How many milliseconds are there in 362309.8us? 362.3098 How many millimeters are there in 344888.6 meters? 344888600 What is 3.282754l in millilitres? 3282.754 What is 7.551528 micrometers in meters? 0.000007551528 How many millilitres are there in three fifths of a litre? 600 Convert 5030.26 litres to millilitres. 5030260 What is 986918.2 nanograms in milligrams? 0.9869182 How many millilitres are there in fifteen quarters of a litre? 3750 What is seven halves of a gram in milligrams? 3500 Convert 59.823351 nanoseconds to hours. 0.0000000000166175975 What is one quarter of a kilometer in meters? 250 What is 1/28 of a week in seconds? 21600 Convert 91.81951 litres to millilitres. 91819.51 How many milligrams are there in 43/4 of a gram? 10750 How many minutes are there in twenty-five halves of a hour? 750 What is three eighths of a day in seconds? 32400 Convert 3.805505m to nanometers. 3805505000 What is twenty-one fifths of a kilogram in grams? 4200 Convert 813.2539 millennia to centuries. 8132.539 What is 563.8038kg in milligrams? 563803800 What is one quarter of a micrometer in nanometers? 250 What is one twentieth of a gram in milligrams? 50 What is 1/5 of a litre in millilitres? 200 How many micrometers are there in one sixteenth of a meter? 62500 What is thirty-two fifths of a millennium in decades? 640 How many litres are there in 4583.19 millilitres? 4.58319 How many weeks are there in 3588.76161 minutes? 0.3560279375 How many millilitres are there in 9900.203 litres? 9900203 Convert 0.804475 nanometers to micrometers. 0.000804475 How many kilometers are there in 96.38687 centimeters? 0.0009638687 What is 3/32 of a tonne in grams? 93750 How many minutes are there in twenty-five halves of a day? 18000 How many years are there in 876742.4 millennia? 876742400 What is 3483.55ml in litres? 3.48355 What is 22.81241 kilograms in grams? 22812.41 What is three fifths of a kilogram in grams? 600 What is 473.93178 hours in weeks? 2.8210225 What is 7.618205ng in tonnes? 0.000000000000007618205 What is 4.705313ng in tonnes? 0.000000000000004705313 How many milliseconds are there in twenty-nine halves of a second? 14500 What is 1/20 of a millennium in months? 600 How many millimeters are there in 48/5 of a meter? 9600 What is six fifths of a millennium in years? 1200 Convert 28074.204ns to hours. 0.00000000779839 How many nanometers are there in seventy-two fifths of a micrometer? 14400 What is 37/5 of a microgram in nanograms? 7400 How many micrograms are there in 19/4 of a milligram? 4750 Convert 61620.8 millennia to decades. 6162080 What is 87.36171 millennia in decades? 8736.171 How many seconds are there in 11/4 of a hour? 9900 What is 7/8 of a milligram in micrograms? 875 How many years are there in 6/5 of a millennium? 1200 What is thirty-seven halves of a milligram in micrograms? 18500 How many litres are there in 95929.47ml? 95.92947 How many kilograms are there in 21/8 of a tonne? 2625 What is 18417.29ng in grams? 0.00001841729 How many meters are there in six fifths of a kilometer? 1200 How many decades are there in thirty-four fifths of a millennium? 680 How many grams are there in three tenths of a kilogram? 300 What is 221.7452l in millilitres? 221745.2 Convert 85993.32nm to millimeters. 0.08599332 How many months are there in five sixths of a decade? 100 How many centuries are there in twenty-seven fifths of a millennium? 54 How many seconds are there in twenty-five halves of a minute? 750 Convert 349.95 litres to millilitres. 349950 Convert 61.43889 microseconds to nanoseconds. 61438.89 What is 13/8 of a day in hours? 39 How many millilitres are there in 9590.39 litres? 9590390 Convert 0.0005415l to millilitres. 0.5415 What is five quarters of a day in hours? 30 How many kilograms are there in 5/8 of a tonne? 625 Convert 9064.605 milligrams to grams. 9.064605 What is fourty-five quarters of a decade in months? 1350 What is 21/2 of a gram in milligrams? 10500 How many micrograms are there in 7/4 of a milligram? 1750 What is 1/10 of a millisecond in microseconds? 100 What is 120124.6 micrometers in centimeters? 12.01246 How many nanometers are there in three tenths of a micrometer? 300 What is 86375.35 meters in nanometers? 86375350000000 What is 2943.239 millilitres in litres? 2.943239 How many decades are there in 3/5 of a century? 6 What is 4699.871 minutes in milliseconds? 281992260 How many milligrams are there in fifteen quarters of a gram? 3750 How many micrometers are there in 32148.27 centimeters? 321482700 How many millilitres are there in thirteen quarters of a litre? 3250 What is six fifths of a minute in milliseconds? 72000 What is 48018.8 tonnes in grams? 48018800000 How many years are there in 1.2774381 months? 0.106453175 How many years are there in 1/5 of a millennium? 200 How many months are there in 681266.9 years? 8175202.8 Convert 4398.589mg to nanograms. 4398589000 What is 9/10 of a century in years? 90 How many litres are there in 10.40018 millilitres? 0.01040018 What is 9.761483 weeks in minutes? 98395.74864 What is 3/10 of a week in minutes? 3024 Convert 700013.4 centuries to decades. 7000134 How many milligrams are there in 13/8 of a gram? 1625 How many litres are there in 0.845011 millilitres? 0.000845011 How many months are there in 3/16 of a century? 225 How many millilitres are there in 468036.3 litres? 468036300 What is 21/2 of a centimeter in millimeters? 105 How many minutes are there in 17/4 of a week? 42840 How many grams are there in 3/8 of a kilogram? 375 How many millilitres are there in 36.35712 litres? 36357.12 How many months are there in 7/4 of a decade? 210 How many milligrams are there in 96.99335ng? 0.00009699335 How many kilograms are there in fifty-five halves of a tonne? 27500 What is 5/4 of a litre in millilitres? 1250 How many litres are there in 2869.126 millilitres? 2.869126 What is one tenth of a kilogram in milligrams? 100000 How many millilitres are there in 13/8 of a litre? 1625 What is three fifths of a centimeter in millimeters? 6 What is 1/24 of a day in seconds? 3600 What is one tenth of a tonne in grams? 100000 Convert 769.3287 millennia to months. 9231944.4 How many nanometers are there in one sixteenth of a millimeter? 62500 How many milliseconds are there in 95.5053 minutes? 5730318 Convert 215.5303mm to nanometers. 215530300 How many nanoseconds are there in 0.9921283 seconds? 992128300 How many millilitres are there in fourty-five halves of a litre? 22500 How many milliseconds are there in 38.39837 microseconds? 0.03839837 How many litres are there in 89.1276ml? 0.0891276 What is 67.2282 millimeters in centimeters? 6.72282 How many centimeters are there in 8/25 of a kilometer? 32000 How many kilometers are there in 0.5489595 centimeters? 0.000005489595 What is 3/8 of a millennium in months? 4500 How many nanograms are there in 1/10 of a milligram? 100000 What is 1/16 of a minute in milliseconds? 3750 What is 3637.079 millilitres in litres? 3.637079 What is five sixths of a year in months? 10 How many micrometers are there in one tenth of a millimeter? 100 How many hours are there in one sixth of a week? 28 How many millilitres are there in 9/10 of a litre? 900 How many millennia are there in 7277.848 decades? 72.77848 What is 15/4 of a century in months? 4500 How many microseconds are there in 0.4962535 weeks? 300134116800 What is 59.65954 millilitres in litres? 0.05965954 What is 30281.61 hours in days? 1261.73375 What is three tenths of a millisecond in microseconds? 300 How many micrometers are there in three eighths of a millimeter? 375 Convert 263.4033 millilitres to litres. 0.2634033 What is 6919.838 centuries in decades? 69198.38 What is 9/10 of a kilogram in grams? 900 Convert 0.04749 weeks to seconds. 28721.952 How many nanometers are there in 0.2808679 meters? 280867900
(-1 + 5/2)/((-225)/(-20)) 2/15 Evaluate 2/14*2 - 66/(-14). 5 What is the value of (-6)/(-3042)*923 + (-4)/26? 5/3 What is (6/(-4))/3 + 13/26? 0 Evaluate 1*(-20)/6*9/6. -5 What is 15/(-10)*28/21? -2 What is the value of 1*(-9)/42*44/33? -2/7 What is the value of (-12)/4 - 318/(-102)? 2/17 What is the value of 159/(-530) - (-2)/(-10)? -1/2 105/120 - 3/6 3/8 (12/21)/((-168)/49 + 6) 2/9 Evaluate (8/(-5))/(-4) + 39/15. 3 Evaluate (-2 - (-3)/2)/(2/(-8)). 2 Evaluate (8/2)/(50/20*-2). -4/5 What is (-10)/6*3/(-45)*3? 1/3 What is the value of ((-33)/6 + 6)*0? 0 Calculate 1/(-5) - (-8)/(-600)*10. -1/3 (13/13)/((-4)/(-28)*-1) -7 (-1)/(22/6 + -4) 3 6/(-1) - -2 - (-469)/67 3 Evaluate (2/(-8))/(84/96). -2/7 What is (-9)/6*(-4)/4? 3/2 Evaluate (-4)/24*0*(-3)/9. 0 What is ((-5)/(-4))/(81/(-108))? -5/3 What is (6/4)/(11/(6 + 16))? 3 1*(2/12 - (-155)/(-30)) -5 Evaluate (-80)/(-160)*(-1 + (-10)/(-8)). 1/8 Calculate (-1 - 39/(-12))/(21/14). 3/2 What is the value of (-25)/(-90)*20/75*3? 2/9 What is (-21)/7 - (-41)/13? 2/13 What is the value of (-1850)/518 - 1*-4? 3/7 What is ((-63)/7 + 5)*(-1)/(-9)? -4/9 Evaluate ((-6)/8)/(2 - (-2)/(-16)). -2/5 (-3)/(0 - (-9)/(-6)) 2 (-25)/(-10) - 231/88 -1/8 (-3)/(-10)*(69/27 + -3) -2/15 What is 15/(-6) + 325/182? -5/7 Evaluate 10*96/1400 - 2/7. 2/5 24/6 - (8 - 11) 7 What is (-30)/36 + 147/90*1? 4/5 Calculate (-26 + 29)*-2*(-1)/(-6). -1 What is the value of (2 + -8)/(6/4)? -4 What is (-66)/15 - -2*4/20? -4 Evaluate (5 + 104/(-48) - 3)*4. -2/3 Calculate (90/(-80))/((-9)/6). 3/4 What is the value of (1 + 1)/(-2*3/(-21))? 7 Evaluate ((-4)/(-24)*12)/9. 2/9 What is the value of (20/2)/(-15 + 196/14)? -10 (8/10)/(((-84)/30)/14) -4 Evaluate ((-4)/99)/(546/(-1001)). 2/27 Calculate 3*1/2*(-104)/(-39). 4 Evaluate 2/(8/(-6)) + 1573/242. 5 (-8)/((-48)/6)*5*-1 -5 (-81)/18 + (1*8 - 2) 3/2 (-36)/65 + -1*2/(-5) -2/13 Calculate ((-14)/(-6) - 1) + 49/(-49). 1/3 What is the value of ((-14)/7)/(0 - 1)? 2 Calculate ((-200)/(-24) + -8)/(5/(-60)). -4 Evaluate (-6)/((248/310)/((-2)/(-5))). -3 Evaluate (-3 + 5)*(-2)/(-4). 1 What is the value of (-50)/80*1*-8? 5 Evaluate 12 - 7 - 8 - -4. 1 Evaluate (-63)/(-14) - (-4 - -10). -3/2 What is 0 + -1*9/(-6)? 3/2 What is ((-6)/126*-6)/((-9)/7)? -2/9 Evaluate 7/(-6) - 2 - 3/(-2). -5/3 What is the value of 5 + 4/6 + (-226)/42? 2/7 What is 6/8*((-959)/105 - -9)? -1/10 What is (-7)/(-7) + (-7 - -4)? -2 Evaluate 3*12/(-18)*(-1)/(-2). -1 Evaluate -2 + (8/(24/(-15)) - -5). -2 What is ((-84)/36)/(70/(-90))? 3 Calculate ((-9)/15)/((-828)/(-2300)). -5/3 What is (-56 + 14)/(-14) + (5 - 1)? 7 What is the value of ((24/9)/4)/(4/9)? 3/2 What is the value of 348/1188 + (-1)/9? 2/11 What is the value of (2 - 3)/((5/(-1))/(-5))? -1 What is 3*-1 + 78/(-26)? -6 What is (-5)/(-3) - 4/((-12)/1)? 2 What is the value of 7*-1 + 45/(-45)? -8 Calculate (8/(-40))/((-2)/(-5)). -1/2 What is the value of -2*18/120*50/(-60)? 1/4 Evaluate ((-30)/20)/(((-234)/(-8))/3). -2/13 What is ((-1)/(2 + -3))/(6/30)? 5 Calculate 57/(-11) + 4 + 1. -2/11 What is -3*(-3)/(-9)*-1? 1 Evaluate (-1989)/(-408) + 1/8. 5 Evaluate (24/(-14))/(((-72)/(-42))/(-6)). 6 What is ((18/35)/(-3))/((-16)/112)? 6/5 What is 8 - (-1)/((-77)/605)? 1/7 Evaluate 8 - 6 - 8/2 - 3. -5 What is the value of -4 + (-9)/(81/(-42))? 2/3 Evaluate 15 + -15 - (-6 + 1 + 1). 4 What is the value of (-2)/(-12)*6 + -5? -4 Calculate -3 + 8 - 3/(36/69). -3/4 Evaluate ((-3)/4*-1)/3. 1/4 What is the value of 12/4*-1 + 2/2? -2 What is the value of (17 - 17) + (3 - 2) + -2? -1 What is 36/(-27) - (-1)/3? -1 What is 7 - 3 - (5 + 2)? -3 Evaluate ((4 - 8) + -2)*(-2)/4. 3 What is the value of (-2)/(-4) + 4/(-6)? -1/6 Evaluate 4/12 + (-3)/((-6)/(-2)). -2/3 Calculate -1 - (0/(-1))/(-7 - -8). -1 Evaluate (0 - 5) + (-85)/(-15). 2/3 Evaluate 6*(7 - 8)*-1. 6 What is the value of 333/(-108) + (-12)/(-4)? -1/12 What is -6 + (96/28)/((-6)/(-21))? 6 Evaluate ((90/12)/(-5))/(1/2). -3 ((-11)/(-5) - 3)*5*1 -4 Calculate 3/2 + 5*6/(-60). 1 ((-24)/(-20))/(8/20) 3 What is -5 - 105*1/(-18)? 5/6 What is (-11)/132*-2*1? 1/6 2/(-2 - -8) - (-4)/60 2/5 What is ((-135)/(-10))/27 - (-11)/(-10)? -3/5 What is the value of (-16)/(-24)*3/(-4)? -1/2 Evaluate 4/(-12)*15 + 7. 2 Evaluate -3*(6 + (-154)/21). 4 What is the value of (2/44)/(1/(-2))? -1/11 (-33)/9 + ((-48)/9)/4 -5 Evaluate (-2)/(6/(-9) + (-14)/(-12)). -4 What is ((-12)/(-324))/(1/(-6))? -2/9 What is (2/(-10))/(4/(-20))? 1 ((-91)/49 + 1)*(-14)/20 3/5 (-270)/(-90) + (4 - -1) + 0 8 Evaluate 24/30 - (-216)/(-45). -4 Evaluate (-3)/(-7) - 507/(-1365). 4/5 What is the value of (2/(-4))/((-495)/22 - -22)? 1 What is ((-7)/7)/(12/(-9) + 1)? 3 What is the value of (-6)/63*8/(112/(-21))? 1/7 Calculate ((-1)/(-1))/(31/(-62)). -2 Evaluate (10/(-3) - -3) + (-11)/(-15). 2/5 What is 4/1 + 4 - (8 + -6)? 6 Evaluate 58 + -44 - (-2 - -8)*1. 8 What is 69/(-46) + (-26)/(-12)? 2/3 What is 2/4*(-2 + 3)*-1? -1/2 What is 21/126 + 4/(-168)? 1/7 Evaluate 41/(-13) + 1 - (-53 - -51). -2/13 Calculate (-9)/(-63) + 50/(-7). -7 Evaluate ((-5775)/18)/25 + 13. 1/6 Calculate (-6)/39 - ((-144)/26)/(-3). -2 Evaluate (-12)/(-195)*15/(-6). -2/13 What is the value of 1*(-12)/30*2? -4/5 Calculate (10/(-24) - -1)*(-90)/(-140). 3/8 What is the value of -4*((-258)/(-66) + -4)? 4/11 What is 305/(-50) + -9 + 15? -1/10 What is (147/14 - 3)*12/(-15)? -6 Calculate 54/(-36) - (-1 + 1). -3/2 Calculate ((-144)/(-21))/(-4) - 4/14. -2 What is (1 + -2)*(-1 + 2 + 0)? -1 45/9 + (0 - 3) 2 What is the value of (-2)/(-10)*(7 - 80/10)? -1/5 Evaluate 70/(-28)*16/(-10). 4 Evaluate (16/104)/((-20)/(-65)). 1/2 What is ((-6)/(-21))/(27/(-21))? -2/9 -1 + 0 + (-40)/(-5) + -4 3 Calculate 0*(-2)/(-4) - 144/18. -8 Calculate (25/5 + -6)*-7. 7 What is 0 - (24/4 - 4)? -2 Evaluate 6/2*66/99. 2 What is the value of (3 - (-64)/(-20))/1 + 1? 4/5 Evaluate 44/(-8)*48/(-1584). 1/6 What is 4/18 + 16/576? 1/4 (0/18 - 6) + 13 + -1 6 Calculate (24/10)/(-4)*-1. 3/5 What is (-6 + 174/24)*(-3 - -1)? -5/2 5 - 12 - -14*(-3)/(-3) 7 Evaluate -8 - -9 - (1 - -1). -1 (-2)/8*((-52)/12 - -5) -1/6 Calculate (-114)/135 + 16/36. -2/5 -22*(-1)/(-36) + 2/4 -1/9 2 + 22/(-55) + 38/(-30) 1/3 Evaluate -34 + 33 + (-22)/(-2). 10 Evaluate (5/(90/24))/((-40)/(-210)). 7 What is (30/42)/(4*(-2)/28)? -5/2 What is the value of (3 + -4 - -3) + -2? 0 What is (34/85)/(2/(-10))? -2 What is the value of (-10)/6*9/315*-7? 1/3 3 - ((-108)/(-20) - 3) 3/5 What is (0 + 7/(-49))/(0 - 1)? 1/7 Calculate 72/(-168) - 19/(-28). 1/4 16/(-10) + (0 + -6 - -8) 2/5 What is (15/(-60))/(4/(-8))? 1/2 What is the value of 32/(-28) - (-2)/14? -1 Calculate (-452)/565*(-2)/4. 2/5 What is the value of (-3)/(-2)*(4432/(-624) - -7)? -2/13 Evaluate 20/6*(-54)/36. -5 What is the value of (80/120)/(4/3)? 1/2 Calculate -11 + (-1582)/(-1260)*9. 3/10 What is 4/5 - 2/((-120)/(-33))? 1/4 Calculate (137 + -136)*1/(-1). -1 What is (-55)/22*(-4)/(-2)? -5 Evaluate 312/120 - (-6)/(-10). 2 What is the value of -1 + (-33)/(-9) - (-106)/(-42)? 1/7 Calculate ((-7)/(63/12))/(2/3). -2 Evaluate (2/24)/((-54)/(-72)). 1/9 Calculate 3/(-6)*(7 + -9). 1 What is the value of (5 - (-164)/(-32))*-6? 3/4 Evaluate (21/(-35))/((-216)/120). 1/3 What is the value of (-150)/135*(-6)/8? 5/6 Evaluate (0/2 - 6)/((-225)/30). 4/5 -10 - 2 - 18/(-9) -10 (-3)/(-1) - 1 - (5 - 2) -1 What is 2/12*3*0/2? 0 What is ((-9)/(-6))/((-30)/(-50))*-2? -5 What is the value of (6/(-4))/(9/12)? -2 ((-15)/(-2))/5 - 77/14 -4 Calculate (15/9)/(15/18). 2 What is (1 - 0) + 1/(-2)? 1/2 Evaluate 2/((-44)/(-174)) + (-299)/(-3289). 8 Calculate 2/(-12) - 1216/(-2688). 2/7 (-8)/10 - (8 + (-14 - -5)) 1/5 What is 1/(-1)*0/(-10)? 0 Calculate (-2 + 18/8)/(25/(-40)). -2/5 Calculate 4/(-22) - 456/(-209). 2 What is the value of -6*(-2)/(-4) - (-44)/14? 1/7 Calculate (-4 - -10) + 1*100/(-16). -1/4 What is (-45)/130*8/12? -3/13 3/((-65)/(-90) - 4/18) 6 6/(-8)*(-160)/30 4 Evaluate (0 + 6/15)/(21/(-15)). -2/7 Evaluate 1*(8*5/10 + -8). -4 2*-1*((-5)/2 + 2) 1 Evaluate ((-260)/35 - -4) + 3. -3/7 Calculate (-15)/10*(-4)/(-3). -2 What is the value of (-1 - (-32)/5) + 18/(-45)? 5 117/36 - 9 - -6 1/4 What is -4*(-4)/(-24) + (-4)/(-9)? -2/9 What is the value of 6/18*-21 - -4? -3 Calculate (1/(4 - 6))/1. -1/2 Calculate (572/(-1430))/((-28)/(-5)). -1/14 Evaluate 12 + 6/39*-77. 2/13 What is the value of (-1 - (1 + -2))/((-108)/108)? 0 What is (3/1 + -2)*(9 - 4)? 5 Evaluate (1088/(-160) - 7*-1)*10. 2 ((-399)/(-665))/((-3)/(-50)) 10 (-3)/4 - 1/(8/2) -1 (-20)/(-5) - (-58)/(-15) 2/15 Evaluate 6*(1 - 9)/(-288). 1/6 What is (160/(-30))/(-4)*-6? -8 (-15)/2*17/(-85) 3/2 What is the value of (-13 - -3) + -7 + 13? -4 (0/(-2))/(10 - 6) 0 (-3)/(-30) - 12/(-24) 3/5 Evaluate 2/(2/(-1)) + 4. 3 Calculate 54/(-10) + 390/78. -2/5 Evaluate (-16)/(-60)*(-2)/4. -2/15 (-12)/(4 - 1) - -3 - 0 -1 Calculate 12/18*6/28*1. 1/7
Rearrange -2*w**4 - 11*w + 25*w - 2 + w**2 + 0 - 15*w + w**3 to the form q*w**2 + k*w + x*w**3 + z*w**4 + c and give c. -2 Rearrange (-3*w + 4*w - 4*w)*(-1 - 1 + 0) - 4 + 2 + 3 + 9*w to the form r + x*w and give x. 15 Express (-u - 4*u + 4*u)*(-23*u + 55*u - 70*u) - 3*u**2 + 9*u - 9*u in the form c*u + q*u**2 + b and give q. 35 Express -45*i + 421*i + 168*i + 253*i + 270*i as q + r*i and give r. 1067 Rearrange 2*h**2 - 2 + 3*h**2 + 8*h + 25 - 14 to d + o*h + s*h**2 and give o. 8 Rearrange (3*q + 0*q - q)*(-14 - 17 + 36) + (4 - 2 + 0 + (-3 + 6 + 1)*(3 + 2 - 4))*(-q - 3 + 3) to p*q + u and give p. 4 Express 20*k**4 + k**3 - 28 - 22*k**4 + 26 - k - 3*k**2 as m*k + c*k**4 + z*k**3 + b + d*k**2 and give b. -2 Rearrange -5 + 4 - 26*m**2 + 23*m**3 + 23*m**2 - 1 to the form w*m**3 + r*m + i*m**2 + x and give x. -2 Rearrange -17*i**3 - 5*i + 5*i + (-29*i + 22*i**2 + 29*i)*(3*i - 5*i + 0*i) to the form g*i + a*i**2 + q + u*i**3 and give u. -61 Rearrange (m - 2*m + 0*m)*((2 - 1 + 0)*(0 + 3 - 5) - 15 + 37 + 44) to the form s + p*m and give s. 0 Rearrange q**2 + 9*q - 31*q**3 - 2 - q**2 + 32*q**3 - q**2 to the form m*q + f*q**2 + s + z*q**3 and give m. 9 Express (5 - 18*x**2 - 5)*(-2 + 0 + 0)*(3 - 1 + 0 + (2 + 2 - 3)*(7 + 1 - 6)) as s*x**2 + l*x + f and give l. 0 Express 3 + 14*y**3 - y**4 - 68*y + 0*y**4 + 33*y - 16*y**3 + 3*y**2 + 37*y in the form j*y**4 + p*y**2 + w*y**3 + b + k*y and give b. 3 Express 0*f**3 - 2*f**3 + 1 + 129*f**2 - 68*f**2 - 60*f**2 - 54*f as l*f + s*f**2 + a + m*f**3 and give l. -54 Express -3*f**4 + 2*f**3 + 10*f**4 - 2*f - 8*f**4 - 49*f**2 as r*f + m*f**3 + o*f**2 + u + x*f**4 and give r. -2 Rearrange -41 - 44 + 85 + 305*c to the form v + h*c and give h. 305 Rearrange f**2 + f**2 - 328 + 663 - 331 + 0*f**2 + 46*f**3 to the form c*f + n*f**3 + d*f**2 + h and give h. 4 Express -717*h + 491*h - 929*h as d + b*h and give b. -1155 Rearrange 800 + 7*s**3 - 800 + (-3*s + 0*s + 2*s)*(-s**2 - s**2 + 0*s**2) - 2*s**3 - 2*s**3 - s**3 to f*s**3 + h*s + x + v*s**2 and give v. 0 Express -24*a - 67*a**3 + 16*a - 13*a**3 + 13*a as h*a**2 + c + l*a**3 + q*a and give q. 5 Express (-6*r**3 + r + 17*r**3 + 9*r**3)*(-2*r + 2*r - 2*r) + 9*r**4 + 29*r**4 - 6*r**4 as t*r**4 + d*r**3 + a + g*r + k*r**2 and give t. -8 Express 145*n + 2 + 4*n**2 - 3*n**2 + 2*n - 29*n + n**2 in the form k*n + b*n**2 + r and give k. 118 Express (-169 - 2111*o + 4226*o - 2114*o)*(2 - 1 + 2) + (4*o - 4*o - o)*(3 - 3 + 2) as l + t*o and give l. -507 Express -17*l**3 - 19*l**3 + 39*l**3 + 464*l**3 + (2*l**2 - 2 + 2)*(2*l + l - 5*l) as f*l + x*l**3 + p*l**2 + m and give x. 463 Rearrange (3*b - 2 + 2)*(9*b**2 + 11*b**2 + 4*b**2) + (-35 + 35 - 13*b)*(-3*b**2 + 2*b**2 - b**2) to w*b + a + q*b**3 + y*b**2 and give q. 98 Rearrange (-4 + 3 + 3)*(-11*t + 15 - 15) to y*t + g and give y. -22 Express (-16*g + 21960 - 10918 - 10823)*(-2*g - 3 + 3) as x + v*g + k*g**2 and give v. -438 Rearrange (-3*v + v + v)*(1 - 1 + 1)*((-3 + 7 + 2)*(1 - 4 + 2)*(23 - 23 - 3*v) + 4 - 4 - 2*v) to the form j + l*v + r*v**2 and give j. 0 Express 36*q**2 + 1234*q - 1234*q + (q - 4*q + 4*q)*(q - q - q) in the form y + v*q**2 + g*q and give v. 35 Rearrange (-5 - 1 + 5)*((5 - 2 + 5)*(8*l + 10*l - 6*l) + 2 - 2*l - 2) to the form w*l + y and give w. -94 Rearrange (108*d**2 - 39*d**2 - 161*d**2)*(2 - d**2 - 2) - 12*d**3 + 12*d**3 - 2*d - 2*d**4 to the form t*d**3 + l*d**2 + o*d + x*d**4 + s and give s. 0 Rearrange ((1 + 1 - 3)*(153*j + 3440 - 3440) + 3*j + 13 - 13)*(5 - 4 + 1) to k*j + q and give k. -300 Rearrange -83*c + 18 + 65*c - 7 - 13 to the form d*c + w and give d. -18 Express (-42 + 55 + 376)*(-2*d + 0*d - d)*(2*d + 0 + 0) in the form c*d + t*d**2 + b and give t. -2334 Express 100 - h - 166 - 84 - 126 in the form o + p*h and give p. -1 Express 17*q**4 + 2*q - 3*q**4 + 3*q**2 + 7*q**2 - 8*q**2 - q**3 - q**4 in the form g*q**3 + b*q**2 + f*q**4 + m*q + v and give f. 13 Express -2*v + 229 + 147*v**2 + 4*v + 146*v**2 - 294*v**2 as d + l*v**2 + z*v and give l. -1 Rearrange -74*h + 223*h - 73*h - 76*h + 403 + h**2 to a*h + m + c*h**2 and give m. 403 Express 2*w**2 + 3*w - 5*w**4 + 2*w - 10726*w**3 + 10724*w**3 in the form h*w**2 + t*w**4 + q*w + g + k*w**3 and give q. 5 Rearrange 4*x + 3*x**3 - 92*x**2 + 2*x + 0*x + 8*x - 15*x to m*x**3 + v + n*x + f*x**2 and give f. -92 Rearrange 6*r**3 + 1 - 2*r**2 - r - 34*r**4 - 7*r**3 + 15*r**4 + r**3 to the form n + o*r**2 + g*r**3 + l*r + b*r**4 and give b. -19 Rearrange -9 - 241*q + 122*q + 9 to b + o*q and give o. -119 Express 14 - 196 - 25*w**2 + 23*w**2 as t*w + u*w**2 + q and give u. -2 Express (6*n + 1 - 1)*(-3 + 0 + 1) - 6*n + 23*n - 11*n as a*n + s and give a. -6 Express -4 - 41*n**2 - 24*n**2 - n**3 + 65*n**2 - n as w*n**3 + y + j*n**2 + p*n and give w. -1 Express 42*n**2 + 3*n**3 - 50*n**2 + 0*n**2 as m*n**2 + y*n**3 + v + d*n and give m. -8 Rearrange 10*j**2 + 15*j - 76*j + 13*j**2 + 1 - 26*j**2 to t + p*j**2 + z*j and give z. -61 Express (-976*g + 4081*g + 2 - 1238*g)*((0 + 4 - 3)*(-g + 2*g + g) + 5*g + 0*g - 3*g + 1 - 1 - 2*g + 0*g - 2*g + 4*g) as n + r*g + u*g**2 and give r. 8 Express (14*f + 5*f - 4*f)*(2 + 2 - 10) + 5 + 6 - 10 - 3*f as y*f + o and give y. -93 Rearrange -3*n - 9 + 1 - 27*n + 1 + 1 to the form g + x*n and give x. -30 Express (3*r**3 + 2*r**3 + 2*r**3)*(-7 + 197 - 48) in the form d + z*r**2 + g*r**3 + l*r and give g. 994 Rearrange -68*f**2 - f + f - 727*f**2 to the form p*f + h + d*f**2 and give d. -795 Rearrange -5*b**2 - 81 + 17*b - 17*b + 2*b**2 + 0*b**2 to s*b + m*b**2 + i and give i. -81 Express -3*x + 24 - 23 + x as a*x + s and give s. 1 Express -2 + 58*t**3 - 36*t**3 + 0 + 5*t - 30*t**3 as c*t + k*t**2 + q*t**3 + x and give q. -8 Express (-3 - 2*o - o + 4)*(2 + 104*o**2 - 19*o - 3*o - 68*o**2) as j*o**2 + z + p*o**3 + r*o and give z. 2 Express (-3 + 3 - 3)*(-t**2 - 2*t**2 + 2*t**2) + 18*t**2 - 7*t**2 + 0*t**2 + 14*t**2 + t**2 - 5*t**2 in the form p*t**2 + d*t + w and give p. 24 Express 328*o - 39*o + 493*o + 117*o in the form z*o + f and give f. 0 Express 15*g + 173*g**2 - 14*g - 2*g as m*g + s + y*g**2 and give m. -1 Rearrange -71*q + 5 + 100*q - 5 to c*q + v and give c. 29 Express -3 - 4 + 3*s**2 - 2*s**2 + 12 - 5*s**3 in the form n*s**2 + o*s + v*s**3 + j and give j. 5 Rearrange (-f**2 - 2*f**2 + f**2)*(5 - 5 - 1) + (0 + 0 + f - 1)*(-59*f + 119*f + 288*f) - 4 + 4 + 2*f**2 to the form l*f**2 + u + g*f and give l. 352 Express -p**4 - 3*p**2 + 25*p**2 + 3*p**3 - 2*p**4 - 53*p**2 as b*p**2 + y*p**3 + o + g*p + t*p**4 and give t. -3 Express f**3 + 0*f**3 + 0*f**3 + (78*f - 18*f**2 + 21*f**2 - 22*f)*(-3*f + 5*f - f) in the form g*f**2 + n + m*f + x*f**3 and give g. 56 Express -63*c - 121*c - 58*c in the form h + q*c and give q. -242 Express 71 - 463*d**2 + 62 - 198 + 65 in the form v*d + c + y*d**2 and give y. -463 Rearrange 629*x - 568*x + 2551*x + 1415*x - 185*x + (1 + 1 - 3)*(-x + 4*x - 2*x) to l*x + s and give l. 3841 Express -281*r - 438 + 438 as x*r + g and give x. -281 Express (-7*l + 4*l - 5*l)*(1 + 0 - 3) + (-5 + 0 + 1)*(2*l - 36 + 33 - l) as p + a*l and give a. 12 Express 8*v - 51*v - 52*v - 16*v as b*v + t and give t. 0 Express -55*o + 152*o - 48*o - 1 - 55*o in the form w*o + y and give w. -6 Express 148*q - 48*q**2 - 7*q + 52*q**2 - 25*q in the form a*q**2 + j + y*q and give a. 4 Rearrange 5*v - 3*v**3 + 2*v**2 - 6 - 8*v + 1 + 4 to p*v**3 + x*v + w*v**2 + h and give w. 2 Express -20 + 19*s**2 - 11 + 31 in the form n*s**2 + d*s + i and give n. 19 Express 0*t**2 + 1155*t + 0*t**2 - t**3 - 1095*t as m*t + q*t**2 + y + z*t**3 and give m. 60 Rearrange 9798 - 12*d - 9798 to q + x*d and give x. -12 Express 2*o - 14*o**2 - 22*o**2 - 1 + 21*o**2 as i + j*o + k*o**2 and give k. -15 Express 92*o + 6*o**2 - 6 + 6 - 79*o in the form a*o**2 + v + f*o and give a. 6 Rearrange -48*r**2 + 11*r**2 - 18*r**2 - 74*r**2 to t*r + q + l*r**2 and give l. -129 Rearrange (-5 - 1 + 2)*(70 - 2*d + 3*d**4 - 95 + 3*d) to the form n*d**2 + b + c*d**3 + j*d + h*d**4 and give n. 0 Rearrange (-4*p**2 - 3 + 10*p**2 - 4*p**2)*(8*p**2 + 38*p**2 - p**2) to the form d*p**2 + c*p**3 + u + s*p**4 + f*p and give s. 90 Express -57 + y + 128 - 3*y**3 + 7*y**4 - 73 in the form g*y**2 + b*y**4 + i*y + t + c*y**3 and give i. 1 Express -j**3 + j**3 - j**4 + 51 + 85*j**4 - 51 + (-2*j**2 + 0 + 0)*(-j**2 - 3*j**2 + 7*j**2) in the form r*j**4 + p*j**2 + w*j**3 + x*j + c and give r. 78 Express (5*i - 6*i + 26*i)*(-3 - 3 + 1)*(-4 + 7 + 4) as c*i + o and give c. -875
Factor 2*i**2/13 + 349390*i/13 - 349416. 2*(i - 13)*(i + 174708)/13 Suppose -b**5 - 9472*b**4 - 198254*b**3 + 2051428*b**2 + 5301255*b - 7144956 = 0. What is b? -9451, -28, -3, 1, 9 Factor -2*m**2 + 6374040*m + 95611050. -2*(m - 3187035)*(m + 15) Suppose t**4 + 1552228*t**3 + 602343627540*t**2 - 7228316008000*t + 12047245088000 = 0. What is t? -776120, 2, 10 Solve -36*r**5 + 544*r**4 + 60604*r**3 + 111464*r**2 - 80560*r - 132000 = 0. -33, -2, -1, 10/9, 50 Factor a**3/4 + 253*a**2/4 + 7897*a/2 + 14798. (a + 4)*(a + 98)*(a + 151)/4 Suppose 5*h**2/6 - 111575140*h + 3734703559805880 = 0. Calculate h. 66945084 Suppose -a**5/2 - 247*a**4/2 - 9261*a**3 - 128071*a**2 + 11746843*a/2 - 69791931/2 = 0. What is a? -89, 9, 11 Factor -5*i**2 + 1340355*i + 178355660. -5*(i - 268204)*(i + 133) Suppose -4*r**2/3 - 1002100*r - 54109512 = 0. What is r? -751521, -54 Factor -3*t**3 - 6219*t**2 + 928467*t - 33497445. -3*(t - 71)**2*(t + 2215) Determine c so that 62695*c**2 + 1191175*c - 570 = 0. -19, 6/12539 What is u in -3665*u**2 - 36371457*u/2 + 7443 = 0? -4962, 3/7330 Let 12*a**5 - 12372619*a**4 - 89701898*a**3/3 + 206210908*a**2/3 - 111353848*a/3 + 16496864/3 = 0. What is a? -4, 1/4, 2/3, 1031054 Determine y so that -y**3/9 - 108017*y**2 - 78755977817*y/3 + 1181363971205/9 = 0. -486079, 5 Factor 6*w**2/7 + 726340872*w/7 + 21982127597405016/7. 6*(w + 60528406)**2/7 Factor 2*w**4/13 + 8168*w**3/13 + 8753448*w**2/13 + 65017280*w + 1647401600. 2*(w + 52)**2*(w + 1990)**2/13 Find d, given that -12*d**5 + 1126*d**4 + 14360*d**3 - 30398*d**2 - 5460*d = 0. -13, -1/6, 0, 2, 105 Suppose -363*t**4 - 312015*t**3 + 175387944*t**2 - 19231791936*t - 100582433280 = 0. Calculate t. -1272, -5, 2296/11 Suppose m**5/4 - 1521*m**4/2 - 3172345*m**3/4 + 1587693*m**2/2 = 0. What is m? -822, 0, 1, 3863 Solve v**2/5 + 169354*v/5 - 3048696/5 = 0 for v. -169372, 18 Factor i**3/8 - 97535*i**2/2 - i/8 + 97535/2. (i - 390140)*(i - 1)*(i + 1)/8 Suppose -51*b**5/4 - 114*b**4 + 4737*b**3 + 29049*b**2/2 + 36399*b/4 - 1173/2 = 0. Calculate b. -23, -2, -1, 1/17, 17 Determine p, given that 2*p**3/9 + 722638*p**2/9 + 2167900*p/9 + 1445264/9 = 0. -361316, -2, -1 Factor -2*l**2/7 + 560076*l/7 + 2000450. -2*(l - 280063)*(l + 25)/7 Suppose -3*f**3/2 - 5940831*f**2/2 + 11881671*f/2 - 5940837/2 = 0. Calculate f. -1980279, 1 Factor 4*j**2 + 161196*j - 195439624. 4*(j - 1178)*(j + 41477) Suppose -q**3/6 + 65227*q**2 - 6381646608*q - 38292227856 = 0. What is q? -6, 195684 Factor 2*i**3/3 - 16718*i**2/3 + 10359380*i/3. 2*i*(i - 7685)*(i - 674)/3 Let 5*p**2 + 1171590*p - 220435640 = 0. What is p? -234506, 188 Factor 5*f**2 + 17849205*f - 17849210. 5*(f - 1)*(f + 3569842) Factor -k**2/2 - 2118485*k/2 - 33895248. -(k + 32)*(k + 2118453)/2 Factor 45*n**2 - 61240735*n + 13609050. 5*(n - 1360905)*(9*n - 2) Factor -75*a**3 - 14025180*a**2 - 89758848*a - 143612928. -3*(a + 186996)*(5*a + 16)**2 Factor -5439*r**2/4 - 5869*r/2 - 430. -(r + 2)*(5439*r + 860)/4 Factor -4*r**2/7 - 2197164*r/7 + 2197168/7. -4*(r - 1)*(r + 549292)/7 Suppose -38*h**3/3 - 20874*h**2 + 148076*h + 1138640/3 = 0. What is h? -1655, -2, 172/19 Let z**3/3 + 342*z**2 - 602140*z + 521801368/3 = 0. Calculate z. -2038, 506 Factor -4*c**2 + 13924*c - 523336. -4*(c - 3443)*(c - 38) Let -f**2/7 + 41848*f/7 - 53732172/7 = 0. Calculate f. 1326, 40522 Factor 5*v**3 - 2039660*v**2 + 2039645*v + 4079310. 5*(v - 407931)*(v - 2)*(v + 1) Suppose -4*l**5 + 73720*l**4 - 1473036*l**3 + 4344440*l**2 + 5891200*l = 0. What is l? -1, 0, 5, 16, 18410 Find v such that 3*v**5/2 - 372*v**4 + 38439*v**3/2 - 289041*v**2 + 521904*v - 251712 = 0. 1, 24, 38, 184 Solve k**2 - 22454*k + 1477608 = 0. 66, 22388 Factor -z**2/4 - 165887*z/4 - 829335. -(z + 20)*(z + 165867)/4 Solve -30*w**5/11 + 1470704*w**4 - 2157032*w**3/11 = 0. 0, 2/15, 539258 Solve -2*f**3/17 + 14686*f**2/17 + 3343732*f/17 - 3358416/17 = 0. -222, 1, 7564 Solve 70*q**4/11 + 22873038*q**3/11 + 107175184*q**2/11 + 65350632*q/11 + 10456096/11 = 0. -326753, -4, -2/5, -2/7 Find h, given that -3*h**4 + 109512*h**3 - 985329*h**2 - 1313880*h + 2189700 = 0. -2, 1, 10, 36495 Suppose -y**4 - 23818754*y**3 - 141833165253081*y**2 + 1134666465325096*y - 2269333692850576 = 0. What is y? -11909381, 4 Find x, given that -42*x**2 + 72562851*x + 5183061 = 0. -1/14, 1727687 Find h such that -2*h**5/3 - 36020*h**4/3 - 1832834*h**3/3 - 18238952*h**2/3 + 132746656*h/3 - 112638848/3 = 0. -17959, -28, 1, 4 Solve -1273*s**3/3 + 31541123*s**2/3 + 31492840*s/3 - 49556/3 = 0. -1, 2/1273, 24778 Factor -3*q**4/2 + 5979*q**3 - 1290375*q**2/2. -3*q**2*(q - 3875)*(q - 111)/2 Solve -4*n**5 - 684*n**4 + 4364*n**3 + 20076*n**2 - 80392*n + 56640 = 0 for n. -177, -5, 1, 2, 8 Find l such that l**2/4 + 2991757*l/4 - 2243820 = 0. -2991760, 3 Factor c**2 - 43168*c + 96844956. (c - 40794)*(c - 2374) Let -4*m**3/3 - 7696768*m**2/3 - 3702499459280*m/3 + 14810120985664/3 = 0. What is m? -962098, 4 Let 4*y**2 - 71620*y - 26823296 = 0. What is y? -367, 18272 Solve 5*w**2 - 14515*w + 1142910 = 0. 81, 2822 Determine p so that -20*p**5/7 - 5023*p**4/7 - 54579*p**3 - 8377695*p**2/7 - 56193075*p/7 - 8241750/7 = 0. -111, -110, -15, -3/20 Factor 4*h**4 - 2376384*h**3 + 353002333792*h**2 - 15528652347648*h + 170802524892736. 4*(h - 297026)**2*(h - 22)**2 Solve -l**2/3 + 8227*l/3 - 5631274 = 0. 3949, 4278 Solve -25*r**5/2 + 11480635*r**4 - 64291429*r**3/2 + 31686470*r**2 - 12858274*r + 1836896 = 0. 2/5, 1, 918448 Let -r**3/3 + 60524257*r**2/3 - 305265483870880*r + 305265463696128 = 0. What is r? 1, 30262128 Factor 4*c**3/3 + 41039348*c**2/3 + 35088078248964*c - 35088091928748. 4*(c - 1)*(c + 5129919)**2/3 Factor -m**5/11 + 982604*m**4/11 - 241377655204*m**3/11. -m**3*(m - 491302)**2/11 Find q such that -2*q**5/9 + 10426*q**4/9 + 48740*q**3/3 + 710612*q**2/9 + 1358870*q/9 + 261350/3 = 0. -5, -3, -1, 5227 Solve 2*a**2/9 + 63796*a/9 - 497280 = 0. -31968, 70 What is i in 4*i**2 - 422564*i - 1690320 = 0? -4, 105645 Let 11925*x**2/8 + 105819*x/8 + 10419 = 0. What is x? -8, -3473/3975 Let 2*u**2 - 144908*u + 2318016 = 0. Calculate u. 16, 72438 Factor d**2/5 - 5613*d/5 + 27940. (d - 5588)*(d - 25)/5 Factor -y**3 + 11476*y**2 - 32867189*y - 329820490. -(y - 5743)**2*(y + 10) Find v such that -28*v**4 - 103256*v**3 + 516896*v**2 - 310440*v - 930564 = 0. -25849/7, -1, 3 Factor -h**2 + 5752511*h/3 + 639168. -(h - 1917504)*(3*h + 1)/3 Factor 154*a**2 + 3515*a + 2794. (a + 22)*(154*a + 127) Determine u so that 3*u**5 + 61176*u**4 + 733824*u**3 + 2934960*u**2 + 4891344*u + 2934720 = 0. -20380, -6, -2 Determine k, given that 2243*k**3/5 + 13374*k**2/5 + 19683*k/5 - 756/5 = 0. -3, 84/2243 Factor -2*s**2/7 - 92684*s - 206759850/7. -2*(s + 319)*(s + 324075)/7 Factor -2*n**3/9 - 608*n**2/9 + 119200*n. -2*n*(n - 596)*(n + 900)/9 Factor 2*j**4 - 94*j**3 - 5490*j**2 + 96750*j. 2*j*(j - 75)*(j - 15)*(j + 43) Factor -2*k**3 + 1893164*k**2. -2*k**2*(k - 946582) Solve c**2/10 + 10649804*c + 283545813096040 = 0 for c. -53249020 Find p, given that -11*p**5 - 500*p**4 - 7111*p**3 - 36958*p**2 - 54528*p - 24192 = 0. -24, -126/11, -8, -1 Suppose -3*s**2 + 10444440*s - 9090527242800 = 0. Calculate s. 1740740 Factor -q**3/3 - 1220*q**2/3 + 39597*q - 222870. -(q - 85)*(q - 6)*(q + 1311)/3 Suppose -4*p**4 + 1296*p**3 + 284*p**2 - 942264*p + 6872768 = 0. What is p? -29, 8, 23, 322 Let -1900711667569*y**3 + 7602849427602*y**2 - 11029305*y + 4 = 0. Calculate y. 1/1378663, 4 Determine a, given that a**3/6 + 1029671*a**2/2 + 795166261345*a/2 - 2385501873049/6 = 0. -1544507, 1 Factor -25*m**2/4 + 154235*m/2 - 11125930. -5*(m - 146)*(5*m - 60964)/4 Factor 2*l**3/3 + 29774*l**2 + 332657346*l + 4983163290. 2*(l + 15)*(l + 22323)**2/3 Solve -u**3 + 336622*u**2 + 673272*u - 8078976 = 0. -6, 4, 336624 Find m such that 3*m**3 + 11682*m**2 - 591312*m + 1135872 = 0. -3944, 2, 48 Suppose -3*l**3 - 1366680*l**2 + 58773351*l + 256960092 = 0. Calculate l. -455603, -4, 47 Determine x so that 46*x**4/15 + 8824*x**3/15 - 94042*x**2/15 + 99716*x/15 - 4848/5 = 0. -202, 4/23, 1, 9 Suppose 4*p**4 + 2788*p**3 + 8336*p**2 + 5552*p = 0. Calculate p. -694, -2, -1, 0 Find z, given that 2*z**3 + 4476*z**2 - 1049456*z = 0. -2452, 0, 214 Factor -2*v**3/11 + 9780*v**2 - 645426*v/11 + 968112/11. -2*(v - 53784)*(v - 3)**2/11 Factor -3*y**2/8 - 56127*y/4 + 421290. -3*(y - 30)*(y + 37448)/8 Find c, given that 6879645*c**3 - 378403935*c**2 + 1290320*c - 1100 = 0. 2/1173, 55 Determine k, given that -90155*k**5 - 1088990*k**4 - 1077385*k**3 - 79870*k**2 - 1320*k = 0. -11, -1, -4/73, -6/247, 0
Let d = 0.77 + -0.67. What is the nearest to d in 4/5, -10, -0.3? -0.3 Let u = 56 - 55. Let i = 12 - 17. What is the nearest to u in -4, i, -1/2? -1/2 Let u = 0.2 + 0.8. Which is the closest to u? (a) -1/5 (b) 1 (c) -5 b Suppose -6*i = -3*i. Let r = -29/22 - 2/11. Let o(u) = 5*u - 1. Let s be o(1). Which is the nearest to 1? (a) i (b) s (c) r a Let r = 0.04 - -2.76. Let o = r + -3. What is the closest to 0.2 in o, -3, -4? o Let n = -2 - -3. Suppose -2*u = -8*u + 12. Let w = -3 - -6. What is the nearest to n in u, w, -3? u Let z = -25 + 24.5. What is the nearest to 1 in -0.2, z, -5? -0.2 Let n = 2/79 + -172/553. What is the closest to -1 in n, -3, -3/5? -3/5 Let f be 3/6*70/42. Let y = 0.3 - -0.7. What is the closest to y in 4/7, f, 0.1? f Let o = -13 - -12. Let m = -2 + 2. Let x be (3 + -2)/(6/4). What is the nearest to m in x, -0.3, o? -0.3 Let h = -11 - 117. Let i = h - -898/7. Let p = -1.7 + 0.7. Which is the closest to p? (a) -3 (b) i (c) 3 b Let q = -19 - -18.9. Which is the closest to q? (a) -5 (b) -1 (c) -3 b Let u = 2 - 6. Let g = -0.4 - -0.3. Let w = 5 - 5.5. Which is the closest to 1? (a) g (b) u (c) w a Let l be (-34)/(-6) + (-10)/15. Suppose -l*d + 6 = -9. Suppose d*k - 6 = 6*k. What is the closest to 0 in -2/21, -0.5, k? -2/21 Let i = 0.1 + -0.12. What is the nearest to 2/7 in i, 2/9, -1? 2/9 Let p be 3/(21/6*3). Let d = 3/13 + 18/91. What is the closest to 0 in p, -4, d? p Let d = -3.6 + 4. Suppose -3*o + 18 = 2*t + 3*t, -5*o = -5*t + 10. Which is the closest to 2? (a) d (b) 4 (c) o c Let g = 0.9 + 0.1. Let a = 5.2 - 5. What is the nearest to a in g, -0.5, 5? -0.5 Suppose -h - 2 + 4 = -b, 3*b + 6 = -5*h. Suppose h = 2*t, -4*w - 2*t + t = 0. Let f = 5/52 + 2/13. What is the nearest to w in -3, 2/11, f? 2/11 Let s be 206351 - (2 - (-3)/(-3)). Let v = 55301725/268 - s. Let b = v + 2/67. What is the nearest to -2/5 in -6/7, b, 5? b Let k = -1.5 + 4.5. Which is the nearest to 1/2? (a) k (b) 1/6 (c) 3/7 c Let m = 5.5 + -0.5. Let u = -0.1 + 1.1. Let w be (4/21)/((-60)/(-210)). Which is the closest to 1? (a) w (b) m (c) u c Suppose 15 = -4*x - 1. What is the nearest to 1 in 3/4, x, 1? 1 Let h = -3.2 + 3. Let c be 2/(-4) - 1/2. Let m be ((-21)/(-6) + -4)*-6. What is the closest to 0.2 in c, h, m? h Let p = 7 - 7.6. Let k = p - -1.6. Let n = -3 - -2. What is the closest to k in 4, -3, n? n Let v(y) = -y**2 + 2*y. Let g be v(2). Let r(f) = 9*f - 1. Let x be r(1). Let o = x - 7. Which is the nearest to g? (a) 0 (b) o (c) -2 a Let m = -2 + 1.7. Suppose 42 = 5*q + n - 0*n, -3*n - 18 = -3*q. Suppose -4 = 2*d, 3*x - d = d - q. Which is the nearest to 1? (a) x (b) m (c) 0.5 c Let f = 4.01 - 4. Let x = 0.01 - f. Let p = -18.6 - -19. Which is the nearest to 0? (a) 2 (b) p (c) x c Let s = 5.5 + -4. Let r = 1 + 0. Let p = s - r. Which is the nearest to -1? (a) 4 (b) -2 (c) p b Let d = 32 - 31.8. What is the nearest to 1/3 in 1/2, 0, d? d Let v = 0.38 - -2.62. Let f = -11/24 + -1/24. Let s be (-1)/(-36) + 18/81. What is the nearest to s in f, v, -2? f Let f = 4 + -6. Let p = 38.5 + -38. What is the nearest to -3 in p, -5, f? f Let l = 13 - 13.1. What is the nearest to 0.1 in l, 1/4, -1/5? 1/4 Let w(p) = -p + 1. Let m be w(-1). Let l = m + -1. Which is the nearest to l? (a) -0.1 (b) 2 (c) -5 b Let n(d) = -d**2 - 4*d - 1. Let v be n(-4). Let b be 0 + 4 + (v - 0). Let w = 0.1 - 0. What is the nearest to w in 1, b, -2? 1 Suppose -3*f = 4 + 5. Let g = 9 + -13. Let o = g + 4.1. Which is the closest to o? (a) -1 (b) f (c) 0.3 c Let n = -3625/13 - -279. Let y = -0.9 + 1.3. Which is the closest to y? (a) -2 (b) n (c) -2/17 b Let n = -7.9 + 7.6. What is the closest to -1 in -2/11, -3/5, n? -3/5 Let z = -0.5 - 1.5. Let g = 0.1 - -2.9. Let s = -2.6 + g. What is the nearest to 0 in -3, z, s? s Let f be (606/156 + -4)*4/(-3). Which is the closest to -0.2? (a) f (b) -2 (c) 18 a Let s = 65 + -68. What is the nearest to s in 3/4, -0.2, 1? -0.2 Let f be (0 + 0)/(-1) - 2/3. What is the nearest to 0.2 in 0, f, 1/3? 1/3 Let s = 3.93 - -0.07. Let l = -0.06 + 4.06. Let x = l - s. Which is the nearest to 0.1? (a) -1 (b) -3 (c) x c Let y = -6 + 6.5. Let s = -0.7 + y. What is the nearest to s in -3, -1, -5? -1 Let i = -0.3 - 2.7. Let d = -0.9 + 0.5. Suppose -4 = -3*u - 2*k - 2*k, k = -4*u + 1. Which is the nearest to -2/7? (a) i (b) u (c) d c Let t be ((-2)/(-8))/((5 - 4)/4). Let o = -0.3 - -0.2. Which is the closest to -0.1? (a) t (b) 4 (c) o c Let j = -2275/6 + 380. Which is the nearest to 3? (a) -2/7 (b) j (c) 2 c Let y = 22 - 0. Let o = -21 + y. Let c be -1 + 7*1/8. What is the nearest to 1 in -2, o, c? o Let m = -1 + 0.8. Suppose 2*w = -0*w - 2. What is the closest to 2/3 in w, -0.5, m? m Let x = -1.2 + 1.1. Let r = 0.1 - 0.2. Let m = 0.1 - r. What is the closest to x in m, 2/7, -2? m Let v = -15.5 - -13.49. Let p = v + 0.01. Suppose 0 = 2*y + y. Which is the closest to y? (a) -0.4 (b) p (c) -1 a Let k = 11 + 7. Let l = -18.4 + k. Which is the closest to 0? (a) 3 (b) l (c) -0.3 c Let m = 0.2 + -0.2. Let t = 218 - 217.8. What is the nearest to m in -2/13, -2, t? -2/13 Let w be (-5 + 161/35)*10/14. What is the closest to w in -5, 15, -3? -3 Let z be (-3 - (-34)/12)*-1. Suppose 0*w + 48 = -4*w. Let v = -12 - w. What is the closest to v in -3/7, -5, z? z Let w = -0.097 - 3.903. What is the nearest to 5 in w, 4, 5? 5 Let h be (-1)/((-10)/(-6)) - -1. Let n = 256.3 - 288. Let l = n + 32. Which is the closest to 0? (a) h (b) -2 (c) l c Let z = 12 - 9. Let j = z - 2. What is the closest to -2/3 in j, -1, -4/3? -1 Let a = 1202/15 - 80. What is the closest to 2/3 in a, -1/3, 1? 1 Suppose 0 = 35*y - 41*y + 30. What is the nearest to -0.2 in 1, y, 2/11? 2/11 Let u = 0.64 - 0.14. Let l(q) = -2*q**2 + 1. Let i(m) = m**3 - 3*m**2 - 5*m + 3. Let k be i(4). Let f be l(k). Which is the closest to f? (a) 2 (b) 0.2 (c) u b Suppose q - 5 + 2 = 0. Suppose -4*x - q*k = -k - 18, 0 = 3*k + 3. Let a = 0.4 - 0.3. What is the nearest to 2/5 in 2, a, x? a Suppose 0 = 2*r, -12*w + 7*w + r - 10 = 0. Let h = -0.2 - 0.3. What is the nearest to -2/5 in -0.1, h, w? h Let k be 3/12*(17 + -1). Which is the closest to -1? (a) -1/2 (b) 7 (c) k a Let q be (-104)/13*1/(-52). Let h = -15.35 + 15. Let r = -0.05 + h. What is the nearest to -1 in -1/4, q, r? r Suppose 2 + 13 = -5*f - 3*u, 3*f = 3*u + 15. Let l = -7.6 + 6.6. Which is the closest to l? (a) -2/21 (b) f (c) -1 c Let w = 0.15 - 0.16. Let s = w - 0.29. Which is the closest to -0.3? (a) 2/19 (b) s (c) 3 b Let t = 8320/19 - 438. Suppose 0 = 2*b + b - 6. Suppose -b = 3*f + 10. What is the nearest to 2 in f, -1, t? t Let z be 19/(-60) + 4/6. Let o = -3/20 - z. What is the closest to o in 2/5, 0.2, -2/7? -2/7 Suppose 0*k + 4*k = 52. Let l be (k/182)/((-1)/4). Let m = 4.99 - -0.01. What is the nearest to 0.1 in m, l, 0.1? 0.1 Let n = 8 - 7.7. Let a = -0.3 + 0.8. What is the closest to -1/3 in n, 2, a? n Suppose 2*w = -4*y + 16, -2*y + 3 = 3*w - 3*y. Which is the nearest to w? (a) 0.3 (b) -1 (c) 1/4 a Let l = 0.164 + 2.836. Which is the closest to 5? (a) -2/5 (b) l (c) 1/10 b Let s = -130/147 - -35359/588. Let d = s + -59. What is the closest to -1/4 in 1/5, d, 3? 1/5 Suppose 3 + 9 = 4*h. Which is the closest to -1? (a) h (b) 4/3 (c) 0 c Let k = 0 - -1. Let v be -2 - (-2)/(-2) - 24/(-7). What is the closest to k in v, -0.1, -5? v Let w = 0.1 - 0.1. Let d(k) = -k**3 - 9*k**2 - 12*k - 34. Let t be d(-8). Which is the closest to t? (a) w (b) -1 (c) -2/7 b Let a = -1 + 6. Let r = 2.1 + -2. Let x(y) = y**3 - 7*y**2 - y + 8. Let d be x(7). What is the nearest to r in 4, a, d? d Suppose 5*q = 2*q + 3. Let l be (-2 + -1 + -1)*-12. Let j be -1 + (-2)/l*-26. What is the closest to q in -1/2, j, -3? j Suppose 3 = -l - 2. Let t = -40 + 41.9. Let y = -1.5 + t. Which is the nearest to -2? (a) -1/10 (b) l (c) y a Let a = 1 + -1. Let z = -8825/42 + 1411/14. Let p = z - -108. What is the closest to a in 3, p, 0.3? 0.3 Let r = -0.33 - -0.43. Suppose -5*u + 2*j = -3*j - 25, j - 1 = -2*u. What is the closest to u in r, 1, 0? 1 Suppose 12 = -5*m - 3. Let q = -0.2 - -0.2. Let d = -79/3 - -27. Which is the closest to q? (a) -1 (b) d (c) m b Let p = 0.055 - 0.255. Which is the closest to -0.3? (a) 3/5 (b) 4 (c) p c Let n = -0.01 + -4.99. Let s = -26 - -26.2. Which is the closest to 1? (a) -1 (b) s (c) n b Let c = 5 - 5.2. Let j = -0.039 - 4.961. What is the closest to j in c, 0.4, -3? -3
Solve -2490*m + 2526*m + 468 = 0 for m. -13 Solve -133*d + 299*d = 124*d + 756 for d. 18 Solve -10 - 4 + 14 = -24*w for w. 0 Solve -314*j - 13*j = -2*j + 1625 for j. -5 Solve 230*b = -45 - 875 for b. -4 Solve 0*k - 5*k = 5*k for k. 0 Solve 130*k - 147 = 179*k for k. -3 Solve -13*w + 30*w + 47*w + 448 = 0 for w. -7 Solve 25*o - 1562 = -81*o - 608 for o. 9 Solve 0 = 116*g - 576 - 236 for g. 7 Solve 0*i + 1170 = 47*i - 281*i for i. -5 Solve -38*a + 126 = -214 + 74 for a. 7 Solve -261*u + 254*u + 9 = 2 for u. 1 Solve -139 = -7*x - 41 for x. 14 Solve -60760*s + 832 = -60792*s for s. -26 Solve 0 = 268*k - 2137 - 3491 for k. 21 Solve 4*q = 44*q + 35*q - 1875 for q. 25 Solve 2*h + 71 - 37 - 36 = 0 for h. 1 Solve 308 + 247 = -18*k + 15 for k. -30 Solve 73*t + 181 = 692 for t. 7 Solve 15*q - 485 = -545 for q. -4 Solve 10*o - 27 - 29 = 4 for o. 6 Solve -3160*o + 3108*o + 162 + 202 = 0 for o. 7 Solve r - 1250 + 1263 = 0 for r. -13 Solve -93*m - 13*m + 2862 = 53*m for m. 18 Solve -85*t + 576 + 104 = 0 for t. 8 Solve -6277 + 3183 = 119*d for d. -26 Solve -44*f = -9*f + 27*f - 434 for f. 7 Solve 91*w + 277*w + 4820 = -114*w for w. -10 Solve 32*b - 872 = -776 for b. 3 Solve 911 - 919 = i for i. -8 Solve -468*a = -459*a + 180 for a. -20 Solve 0 = 2*d - 6*d + 10*d - 60 for d. 10 Solve 28*d - 40 = 7*d - 439 for d. -19 Solve 164 + 67 = -33*h for h. -7 Solve 45 = -30*n - 178 - 17 for n. -8 Solve -9 = 26*c + 116 + 57 for c. -7 Solve -56 = -6607*l + 6614*l for l. -8 Solve -40*f + 1 = -39 for f. 1 Solve 4366 = 827*n - 2250 for n. 8 Solve -33*a - 6*a + 114 = 18*a for a. 2 Solve -216*k = 59*k + 509 + 41 for k. -2 Solve 61*f - 6*f + 2208 = -83*f for f. -16 Solve -37248*i + 12 = -37236*i for i. 1 Solve -40*n - 4*n - 2488 = -2708 for n. 5 Solve -33*w - 1850 = 70*w + 82*w for w. -10 Solve 789*d + 13272 + 3680 = 137*d for d. -26 Solve 108*m - 38 = 70*m + 76*m for m. -1 Solve 687*l - 385 = 246*l + 4025 for l. 10 Solve 61*t + 6 = 71*t - 4 for t. 1 Solve 64*k - 18*k + 38*k - 672 = 0 for k. 8 Solve 490 = 247*z + 62*z - 64*z for z. 2 Solve -10351*g - 266 = -10313*g for g. -7 Solve -555 - 157 = -200*f + 488 for f. 6 Solve -4*a + 2*a + 1268 - 1280 = 0 for a. -6 Solve -98*o = 2170 + 84 for o. -23 Solve 0 = -28*k + 3976 - 4088 for k. -4 Solve 8*y - 915 = -76*y + 9 for y. 11 Solve 2384 = -274*j + 423*j for j. 16 Solve -109 = -5*k + 102 - 196 for k. 3 Solve -2*i + 11*i = i - 96 for i. -12 Solve 36 = 4*d + 21 + 11 for d. 1 Solve 5208 = -40*g + 4888 for g. -8 Solve 8*v + 40 = -3*v - 9*v for v. -2 Solve -599 = -231*h - 365 + 690 for h. 4 Solve -139*s - 424*s + 6756 = 0 for s. 12 Solve -867*p - 2133 = -156*p for p. -3 Solve 0 = -64*b + 127*b - 126 for b. 2 Solve -2*b - 23*b - 253 - 22 = 0 for b. -11 Solve -53*g - 60*g + 904 + 113 = 0 for g. 9 Solve 613*b - 7872 = 1936 for b. 16 Solve 62*t = 32*t - 74*t - 1144 for t. -11 Solve 0*q + 70 = 9*q + 16 for q. 6 Solve -154 = -11*f - 253 for f. -9 Solve 287 + 101 = 40*s - 212 for s. 15 Solve 131*i = 62*i + 17*i + 208 for i. 4 Solve 109*q - 394 = 696 for q. 10 Solve 62*t - 62 - 744 = 0 for t. 13 Solve -242 = 41*c - 3*c - 52 for c. -5 Solve 182*a + 167 + 4957 = -184*a for a. -14 Solve -19*w - 107634 = -108109 for w. 25 Solve -21*r - 211 + 295 = -63*r for r. -2 Solve 26*t - 4469 = -4703 for t. -9 Solve 133*x = 121*x + 24 for x. 2 Solve -1757 = -70*h - 3507 for h. -25 Solve 159*h = h + 1264 for h. 8 Solve 48*v + 58*v - 362 = 62 for v. 4 Solve -603 = -87*u - 72*u - 42*u for u. 3 Solve -7*g = -28*g + 350 - 119 for g. 11 Solve 0 = -75*t + 71*t + 28 for t. 7 Solve 16*m + 1867 - 4918 = 129*m for m. -27 Solve -459*l + 12 = -455*l for l. 3 Solve -47008*k + 3220 = -47100*k for k. -35 Solve 503*r + 1443 = 614*r for r. 13 Solve -675*x = -586*x - 2403 for x. 27 Solve -2451 = -383*q + 512*q for q. -19 Solve -199 = -124*n + 30 + 143 for n. 3 Solve 7*t = -16*t - 247 - 75 for t. -14 Solve 0 = -74*y - 312 - 206 for y. -7 Solve 3*h = -3*h - 3 + 3 for h. 0 Solve -636*n + 7458 + 6534 = 0 for n. 22 Solve -248*w - 321*w = 11949 for w. -21 Solve 5576*u + 1035 = 5621*u for u. 23 Solve 0 = -86*b - 625*b - 2133 for b. -3 Solve 111*v + 24*v - 1662 = -42 for v. 12 Solve 58*a - 74 = -17*a + 76 for a. 2 Solve -8*h - 619 = -39*h - 960 for h. -11 Solve -335*l - 6341 = 38*l - 0*l for l. -17 Solve -258*w = -996 - 552 for w. 6 Solve -51294*q + 51300*q = -126 for q. -21 Solve 25*l + 241*l - 105*l = 1610 for l. 10 Solve 33*n = -386 - 373 for n. -23 Solve 379*s = 240*s for s. 0 Solve 22085 = -22*h + 21755 for h. -15 Solve 242*m - 229*m - 156 = 0 for m. 12 Solve 336 = -87*o - 117 + 1845 for o. 16 Solve 3*m + 105 - 63 = 81 for m. 13 Solve 57*i - 245 = 92*i for i. -7 Solve -1576*z + 1572*z = 72 - 12 for z. -15 Solve -488*o + 256*o + 244*o - 228 = 0 for o. 19 Solve -2548*u + 2547*u = -20 for u. 20 Solve 15*g = 582 - 254 - 223 for g. 7 Solve -202*d - 2205 + 1275 = 3110 for d. -20 Solve 138*c - 778 + 4090 = 0 for c. -24 Solve 42*y = 93*y - 59*y + 200 for y. 25 Solve 210*i - 1514 - 1636 = 0 for i. 15 Solve -106*u + 84*u = 264 for u. -12 Solve 95*y + 19*y = -85*y - 7164 for y. -36 Solve -2440 = 639*o + 116 for o. -4 Solve 7*s - 10*s + 15 = 0 for s. 5 Solve 0 = -64*b - 49*b + 1130 for b. 10 Solve 941*v - 183*v + 12657 - 37671 = 0 for v. 33 Solve 115*f = 182*f - 67 for f. 1 Solve 205*f - 95 - 130 = -20 for f. 1 Solve 5*v - 396 = -4*v - 9*v for v. 22 Solve -2*l + 84 = 12*l - 0*l for l. 6 Solve -344 = -42078*s + 42035*s for s. 8 Solve 19*h + 15*h = 36*h - 10 for h. 5 Solve 0 = -1809*d + 1840*d - 291 + 911 for d. -20 Solve 0*o + 13*o = -978 + 1147 for o. 13 Solve -144*r + 1218 + 222 = 0 for r. 10 Solve -28*h = -144*h + 65*h + 306 for h. 6 Solve 0 = -55*t - 18 - 13 - 134 for t. -3 Solve 8*i - 9 = 7 for i. 2 Solve -8 = -65*w + 61*w for w. 2 Solve 774 = -158*w - 207 - 599 for w. -10 Solve 985*p - 210 = 971*p for p. 15 Solve 95 + 117 + 74 = 13*x for x. 22 Solve -86*g - 13*g - 1089 = 0 for g. -11 Solve -45*a - 48 = 4*a - 636 for a. 12 Solve 126*j + 150*j - 5376 = 52*j for j. 24 Solve -273 = -155*i - 2908 for i. -17 Solve 283*s = 596*s + 314*s + 16302 for s. -26 Solve 243*x + 542 - 152 = 228*x for x. -26 Solve 397*d = 560*d + 978 for d. -6 Solve 27 = -21*d - 266 - 1 for d. -14 Solve 104*y + 9 = 15*y + 632 for y. 7 Solve -892 = -42*d - 976 for d. -2 Solve 7*o - 31*o = -336 for o. 14 Solve -171*g = -202*g - 279 for g. -9 Solve 0 = -190*l + 180*l + 10 for l. 1 Solve 83*m = 185*m - 27*m + 75 for m. -1 Solve -114*z - 818 = 271*z + 24*z for z. -2 Solve 13408*f - 13409*f - 15 = 0 for f. -15 Solve -60*r + 136*r = 912 for r. 12 Solve -11466*r = -11426*r + 640 for r. -16 Solve -266*y + 4101 + 1219 = 0 for y. 20 Solve -40*i + 244 = 81*i - 603 for i. 7 Solve 124*p - 28 = 57*p + 60*p for p. 4 Solve -481 = 10*x - 142 - 99 for x. -24 Solve 54*o - 35*o - 32*o = 390 for o. -30 Solve 3*i = -11*i - 7*i + 147 for i. 7 Solve 0 = -21*j - 2837 + 2060 for j. -37 Solve 1454 + 310 = -294*y for y. -6 Solve -21*g - 378952 = -379057 for g. 5 Solve 36 - 29 - 57 = 5*r for r. -10 Solve -6*i + 79338 = 79344 for i. -1 Solve -168*q - 2*q = 340 for q. -2 Solve -25*g - 64*g + 60*g - 812 = 0 for g. -28 Solve -236*b + 203*b - 114 = 84 for b. -6 Solve -15*p - 191 = -155 - 126 for p. 6 Solve 948 = -10230*s + 10309*s for s. 12 Solve -13398 = -8759*g + 9397*g for g. -21 Solve -333 = 315*x - 278*x for x. -9 Solve 0 = -2611*f + 2588*f - 437 for f. -19 Solve 41*l + 1802 = 139*l - 60 for l. 19 Solve -58473*t - 48 = -58521*t for t. 1 Solve -564*j - 317*j - 19700 = -93*j for j. -25 Solve 4*d = 1109 - 1089 for d. 5 Solve -24*l = 8*l - 9*l + 161 for l. -7 Solve 0 = 72*p - 36*p + 144 for p. -4 Solve 1146*f - 25 = 1171*f for f. -1 Solve 672 = -11*b + 179*b for b. 4 Solve -21*d - 82 = 356 - 60 for d. -18 Solve -9*k - 22*k + 1482 = 83*k for k. 13 Solve 2*m + 4783 = m + 4788 for m. 5 Solve -29*s + 14 + 247 = 0 for s. 9 Solve 0 = -102*d - 5*d - 51*d + 2528 for d. 16 Solve -662 = 13*d - 818 for d. 12 Solve 56*z - 16 = 24*z + 30*z for z. 8 Solve 75*o - 2031 = -531 for o. 20 Solve 0 = -271*u - 3668 - 1752 for u. -20 Solve 1421 - 2191 = -77*g for g. 10 Solve 61*b = -536*b - 5970 for b. -10 Solve 7*o + 23 = -42 - 82 for o. -21 Solve 13363 - 13327 = -12*a for a. -3 Solve 40*l - 55*l = 220 + 95 for l. -21 Solve -46*r + 25 = 3*r - 122 for r. 3 Solve -24*f - 3*f = -141*f - 2394 for f. -21 Solve 16*s - 24*s + 9 = -17*s for s. -1 Solve 108*a + 999 = 243 for a. -7 Solve 1022*u = 987*u for u. 0 Solve -20*j - 3019 = -2799 for j. -11 Solve 0 = 240*o - 123 + 1323 for o. -5 Solve -59*z = 1110 - 815 for z. -5 Solve -5*j + 73 - 83 = 0 for j. -2 Solve 1874 = 277*a - 60*a + 138 for a. 8 Solve -98*k - 136 - 444 = 694 for k. -13 Solve 50*l + 5148 = 622*l for l. 9 Solve 405*y - 1310 = -2525 for y. -3 Solve -645*b - 629*b + 6800 = -424*b for b. 8
Let b be (192/(-336))/((-2)/7). Suppose 0 = 2*x - b*o - 10 - 0, -2*x + 4*o + 16 = 0. Solve 0*c + x*c + 3 = -j, -4*j - 12 = -c for c. 0 Let y(z) = -2*z**3 + 17*z**2 + 13*z + 14. Let s be y(9). Let c = -67 - -21. Let q = s + c. Solve q*t - 3*t = -3*g, 3*g - 15 = 4*t for t. -3 Suppose -5031 - 2915 = -29*u. Let v = u + -274. Solve -3*k - 12 + 2 = -2*x, -3*x + 4*k + 13 = v for x. -1 Let m(h) = -3*h**3 + 34*h**2 - 12*h + 17. Let c(j) = -j**2 + 19*j + 31. Let i be c(20). Let q be m(i). Solve 4*p = 2*x, 3*p - 5*x = q + 1 for p. -1 Suppose 7*v - 170 = -8*v - 125. Solve 22*u - 20*u + v*j - 23 = 0, 2*u + 4*j = 28 for u. 4 Suppose -8*h + 72 - 14 = -38. Solve 4*b = 4*j - h, 13*j - 17*j + 5*b + 13 = 0 for j. 2 Suppose 145 = 2*i + i + u, i + u - 49 = 0. Suppose 4*w + i = m + 3*m, 3*m = w + 36. Let q be (-1 - (-150)/m)*2*1. Solve -5 = -5*t, 4*t - q = -5*d + 6 for d. 5 Suppose 388*v = 389*v - 21. Let z be (v/9 + -1)/((-6)/(-9)). Solve 0 = 2*b - z*d - 8, 2*b + 4*d + 16 = -3*b for b. 0 Let n = -858 + 877. Suppose 24*z - n*z = 15. Solve 4*b = -5*h + 12, 3*b - 4*h + z = -19 for b. -2 Let b be (-40)/(-18) - (-20)/(-90). Let i be 0/((-24)/(-84) - 19/(-7)). Solve i = -z + 1, s - b*z + 5 = z for s. -2 Let d be 4/((-1*1*5)/((-120)/48)). Solve -58*i + d*f = -53*i - 26, 2*i = 3*f + 17 for i. 4 Let k(a) = 2*a**2 - 4. Let o be k(-4). Suppose f - 12 = 4*c, -4*f - o*c = -27*c + 3. Solve q - 2*q - 5*p - 4 = f, 4*p + 4 = 0 for q. 1 Suppose 15 = -4*h + 63. Let j = -97129 + 97134. Solve -3*g = -2*u - 5*g - h, j*u - 10 = 5*g for u. -2 Suppose 0*h = -6*h. Suppose -90 + 68 = -u. Let f(b) = -b**2 + 23*b - 13. Let r be f(u). Solve 2*k + r = -5*i, k - 5*i - 24 + 6 = h for k. 3 Let c(o) = -15*o + 125. Let y be c(5). Suppose 0 = g - v - 5, -4*g + y*v = 54*v + 20. Solve g = 3*z + 3, 3*d - 7*d + 4 = -4*z for d. 0 Let j be (-2)/(-1)*507/2. Let p = -505 + j. Solve -2*f - x + 12 = p*x, x - 4 = 0 for f. 0 Let x = 13666 - 13656. Solve q + 4*v - x = 0, -q - 3*v + 4 + 3 = 0 for q. -2 Let w = 78 - 130. Suppose o = -71*n + 74*n - 153, 4*n + 5*o - 223 = 0. Let r = w + n. Solve -2*v + 6 = r, -3*v + 4*v + 1 = 4*d for d. 1 Let f(r) be the first derivative of -5*r**2 + 262*r - 256. Let q be f(26). Solve -3*g + 8 = -p - 4, 0 = q*p + 2*g for p. -3 Let z = -219 + 223. Suppose 20 = z*n - 0*o + 3*o, -4*n + 4*o = -20. Let d be (-2)/3 + 246/18. Solve n*p - d = -2*r, -5*r - 31 + 11 = -5*p for r. -1 Suppose -3*u = 5*z + 1723, -z - 145 = -2*u + 197. Let q = z - -347. Solve -q*p - 6*g + g = -27, -5*p + 35 = 5*g for p. 4 Suppose 0*z + 1770 = 10*z. Let d = -172 + z. Solve 20 = 2*s + 5*y, s + d = -y + 6*y for s. 5 Let c = -121 - -138. Let s be (4/(-4))/((-3)/(c + -5)). Solve 2*x = -s*h + 20, x = -4*x - 4*h + 32 for x. 4 Suppose -5*j + 6 = -2*c, 12 + 2 = 5*c + 2*j. Let o(r) = 18*r - 128. Let p be o(11). Let h be c*15/6*p/50. Solve -4*g + h = -2*d + 23, 2 = d for g. -3 Let v be 0/(((-1)/(-1))/(11/(-22))). Suppose -4*o = -5*z + 27, 3*z + v*z = 5*o + 24. Solve 5*n + 3*s + 1 = -z, -s = 3*n for n. 1 Suppose -l = 2*j - 60, -78 = 38*j - 40*j - 4*l. Solve -31*f - 14 = 2*z - j*f, -1 = f for z. -5 Suppose -2*t - 3 = -15. Let f be -3*2/t + -3 + 5. Solve 0 = 3*u + 3, f = 5*y - 3*u - 2 for y. 0 Let j be 8/(-52) + 557/(-13). Let w = -40 - j. Suppose -5*g - 42 = -2*b, 2*b + 2*g + 105 = 7*b. Solve -w*f + 0*p - 4*p = -19, -b = -4*f - p for f. 5 Let p(n) = -n + 6. Let i be p(5). Let b(j) = 2*j**3 + 3*j**2 - 3*j + 1. Let y be b(i). Let x = -547 - -550. Solve -u + y*w = 2*u + x, 0 = w for u. -1 Suppose 5*q - j - 26 = 2*j, 5*q - 22 = j. Let m(h) = -h + 9. Let k be m(q). Let d = 3074 + -3072. Solve k*l + 22 = -s, -3*s + 2 + d = l for l. -5 Let c = -956 - -1228. Suppose c*j = 279*j - 21. Suppose 0 = -5*n - 0*n - m + 20, -4*n + 3*m + 16 = 0. Solve 2*p + 4*l = -12, -j*p + n*l = -3 + 1 for p. -2 Suppose -665 = -3*a - 572. Suppose 5*g = -20, -4*g - 3 - 5 = i. Let v be 1/1 + -6 + i. Solve 5*f + 37 = -3*z, 0*z + v*f = -4*z - a for z. -4 Let p(t) = -4*t**3 + 3*t + 3. Let q(v) = -2*v**2 - 33*v + 53. Let z be q(-18). Let y be p(z). Solve 36 = 4*o + y*s, -3*o + 3*s + s - 1 = 0 for o. 5 Let t be -3 + -7 + -2 + 3 - -12. Solve 0 = -l + t*d - 13, 4*d + 26 = 4*l + 30 for l. 5 Suppose -102*o + 87 + 78 = -39. Solve -12 = -o*c - 11*v + 16*v, c - 3 = v for c. 1 Let v(q) = -106*q + 545. Let j be v(5). Solve 2*m - s - 2 = 0, -14*m = -j*m + 5*s - 17 for m. 3 Let i be (-1)/(((-33)/(1980/(-40)))/(20/(-6))). Solve -q + 2*c - 3*c = -2, 5*q + 20 = i*c for q. -1 Let o be 5/((-10)/(-6))*(-34)/(-3). Suppose 39*v - o*v + 2*p = 25, -v - 4*p = -5. Solve 4*f + 6 = 2*b, -v*b + 22 = -f - 2 for f. 1 Let z be -10 - (-14 - -15)*-13. Solve 13*i - 11*i + 8 = 2*y, -z*y + 2*i = -12 for y. 4 Let k(z) = -z**2 + 2*z. Let n be k(3). Let i be (2 + -17)/n*1. Let l(b) = -4*b**2 + 301*b + 230. Let o be l(76). Solve 3*c - 1 = -f, i*f - 23 = o*c + c for c. -1 Let j be (3 - (-12 + 9)) + -394. Let s = -381 - j. Solve -4*w = 5*k + s, -2*k - 5*w = -0*w + 13 for k. 1 Suppose 5*h - v - 2 = 0, -2*h + 4*h - 17 = -5*v. Solve -4*u - h = -p - 5, 4*p - 1 = -u for p. 0 Suppose 0 = 5*h - 2*n - 14, -2*n = h - n. Suppose -5 = -3*d + 10, -h*d = -b - 10. Solve -2*p - 8 = -2*v - b*v, 0 = 5*v + 3*p - 20 for v. 4 Let f(g) = g**2 - 6*g - 1747. Let c be f(45). Solve -m - c = -4*o, 0*m = 4*o + m - 16 for o. 3 Let h(w) be the first derivative of 4 + 17*w - 1/3*w**3 - 11/2*w**2. Let j be h(-12). Solve -4*g = 4*v - 2*v + 18, -j*v - 3*g = 10 for v. 1 Let g = -13 - -7. Let t be ((-10)/g)/((-2)/(-6)). Suppose -24*f + 16 = -8*f. Solve -h = -3*b - 0*b + t, -5*b = 2*h - f for b. 1 Let l(r) = r. Let o(c) = 13*c - 2. Let v(g) = 2*l(g) - o(g). Let q be v(-4). Let b = q + -43. Solve 2*z - b*n = -3, -z - n = 4*z - 1 for z. 0 Suppose 4*n = 3*b - 420 - 202, 0 = -4*b + 11*n + 852. Solve 4*c = -4, -b*d - 2*c = -201*d + 1 for d. 1 Let t = 15680 - 15660. Solve -2*b + 3 = n, -24*b - 3*n + 3 = -t*b for b. 3 Suppose 90 = -8*r - 10*r. Let k be 4/(-10) + (84/r)/(-2). Let a = -2 + 2. Solve 5*v + 16 = 3*h, 0 = -2*v + 2*h - a - k for v. -2 Suppose 15*g = 136 + 89. Solve -2*z - 10 = -h - g, 0 = -z + h for z. 5 Suppose -4*w = -2*i + 74, -6*w + 7 = i - 2*w. Suppose -i*x = -344 - 169. Solve -3*f + 2*h + 4 = 0, f = -f - 3*h - x for f. -2 Suppose 34*n - 29*n - 1265 = 0. Let c be (-46)/n - (0 + 114/(-22)). Solve c*x + 3*d - 5 = -d, -4*x - 3*d = -5 for x. 5 Let o = 2013 - 2008. Solve -3*c = -4*c - l - 4, -4*l = o*c + 17 for c. -1 Let c(d) = d**3 + 3*d**2 + 5*d + 5. Let f be c(-3). Let b = -5 - f. Suppose i = -b*i. Solve i = 5*l - 2*z - 18, 0 = l + 3*l - z - 12 for l. 2 Let q be ((-21)/42)/(2/8). Let s(u) = -u**2 - 5*u - 4. Let r be s(q). Suppose 3*y = 0, -r*y + 7 = w + 3. Solve 3*l + 10 = 5*l - 2*x, -x = w*l - 10 for l. 3 Let n be 3 - -1 - (1 + -1). Let s = 102 + -103. Let m be s - 7/(-2) - (-29)/(-58). Solve -u = 4*l - 2, 2*l + 0*u + n = m*u for l. 0 Let w = 101 - -165. Let z = w + -264. Solve -2*o + 2*v = 18, 4*o + 9 = z*v - 19 for o. -5 Suppose 5*k - 12 = k. Suppose -8 = 20*b - 68. Let f be b*6/(-18)*(0 + -3). Solve f*r + 2 = -k*q - 1, q - 4*r = 14 for q. 2 Suppose -1092*q + 180 = -1056*q. Solve 3*p - 1 = 4*f, -f + q*f - 2*p = 2 for f. 2 Let a be (-1)/(12/(-9) + 1). Let g be (-45)/(-20)*16/12. Solve 0 = a*c + j + 6, -4 + 16 = g*c - 5*j for c. -1 Let h be -4 + 2 + 0 + 3 + 0. Let k be (-28)/(-6) + h/3. Let w be (-5 + k)*2/(-2). Solve 2*u - 4*m + 10 = -w*m, -2*u - 5*m = -17 for u. 1 Let c = 4 + -7. Let x(a) = a**3 + 3*a**2 - a - 1. Let f be x(c). Let u be 40/8 + -9 - (23 - 33). Solve -3*j = f*y + 10, 2*y - u = -5*j - 20 for j. -2 Let r be 7/(-13 + 6) + -216 + 2. Let y = r - -217. Solve -5*x - 2 + 7 = 5*b, 3*x = -y*b + 6 for b. -3 Suppose -3*n = 5*z + 246, 3*z + n + 62 = -88. Let q = z - -74. Let v = q + -18. Solve 0 = -5*f - p - 9, -4*f + f = v*p + 23 for f. -1 Let v be (-231 - -189)*1/(-7). Solve 12 = -g + 4*p, 2*p = 5*g + 4*p - v for g. 0 Let f(y) = -246*y + 1235. Let o be f(5). Solve -3 = -o*k + 3*g, -2*k - 3*g - 3 = -k for k. 0 Let d(f) = -f**2 + 12*f - 22. Let x be d(9). Solve 4*i - 2*p = 10, 4*i + x*p = -0*i + 31 for i. 4 Suppose -73*v + 8*v + 604 = 86*v. Solve -v*u + 6*s - 10*s + 8 = 0, -2*s = -2*u - 8 for u. -1 Let n be 1*4 + (-22)/(-33)*-3. Let z be (0/n)/(110 - 109). Solve -4*y = -2*h + 16, h = y + 4 - z for y. -4 Let z(a) = -219 - 141*a + 178*a - 149. Let v be z(10). Solve -v*u - 3*o = -9, -4*o + 12 = -4*u + u for u. 0 Let m = 12078 - 12076. Solve 3*o - 28 = 8*o - m*p, 0 = -2*p + 8 for o. -4
Let c(r) = r + 12. Let m = 14 - 23. Let i be c(m). Suppose 12 = i*a, 4*a - 24 = -j + 2. Is 10 at least j? True Let w(s) = 7*s**3 - 2*s**2 + 5*s - 4. Let a be w(1). Does a = 6? True Let n = 11 - 1. Let x(i) = 2*i - 13. Let j be x(n). Suppose -4*p - 5 = -5*p. Which is smaller: p or j? p Suppose -28*h - 5616 = -2144. Does -128 = h? False Suppose 0 = -4*s + 5*b + 21, 8*s = 5*s + 4*b + 17. Let c = 13/4 - 133/36. Which is greater: c or s? c Let j be 1 + 320/(-1 - -9). Do j and 47 have the same value? False Let t be (-113 - (4 - 5))*1. Let i = t + 567/5. Are 0 and i unequal? True Suppose 4*b - 2*b + 17 = -5*g, 12 = 3*b. Let s be -7 + (-9)/(63/(-19)). Is g != s? True Let z be 80/(-6)*4/(48/27). Are z and -29 nonequal? True Let t be (-4)/(-14) - 96/(-7). Let a(s) = -3*s**3 - 35*s**2 + 10*s - 11. Let b be a(-12). Is t at least b? True Suppose 3*r + 24 = -129. Let w = r + 305/6. Is -3 bigger than w? False Suppose -12 = 3*d + 15. Let b be 3/(3/4) - 2125/170. Which is smaller: b or d? d Let f = -102 - -101.912. Which is greater: f or -2? f Let p = 220 - 220. Which is smaller: p or 18/19? p Let k be 6/10 - (-2696)/(-4260). Let b = -1969/4899 + k. Is b less than 0? True Suppose 5*y - 6*d - 75 = -d, y = -3*d - 1. Let u = -180 - -190. Which is smaller: u or y? u Let g(i) = -13*i**2 - 9*i + 6. Let a be g(6). Let s be (10/(-15))/((-2)/a*4). Which is smaller: s or -42? s Let g = -3 - -2. Let n = -156 + 83. Let s = -77 - n. Which is smaller: g or s? s Let c = 14 - -2. Let x be ((-1)/(-2))/(2/c). Which is bigger: x or 5/2? x Let t(m) = -2*m**3 - m**2 + m + 1. Let p be t(-1). Let r be (-2)/9 + (-16)/171. Which is greater: r or p? p Let t(x) = 0*x + 18 - 18 + 2*x. Let g be t(-2). Let l be (g/8*2)/1. Is 1/11 equal to l? False Suppose 6*n + 20 = 2*j + 4*n, -2*n = -j + 12. Suppose 20*b - j = 16*b. Which is smaller: -0.2 or b? -0.2 Let p(g) = 3*g**3 - 6*g**2 - 3*g**2 + 18 - 2*g**3 - 3*g**2 - 15*g. Let l be p(13). Let m(h) = -h - 8. Let v be m(l). Is v greater than 1/42? False Let g = 378 - 344. Do 34 and g have the same value? True Let h be ((162/15)/(-3))/((-4)/(-20)). Is h != -20? True Suppose -2*h - 43 = 2*j - 479, -h = -j - 222. Let a be h/(-18) - (-10)/(-45). Is a > -12? False Let t = 5 + -5.7. Let f = 2/15167 - 30344/75835. Which is smaller: t or f? t Let w(y) = -y**3 + 3*y**2 + 5*y - 5. Let k be w(3). Suppose -2*f - 4*v - 9 = 3*f, 2*f = -5*v + k. Is -6 <= f? True Suppose 2*z - 2 = 8. Suppose 4*s = -3 - z. Let d = -0.104 - -0.004. Is s != d? True Let m(s) = -s + 14. Let n be m(7). Suppose -3*u - 16 = -n*u. Are -2 and u equal? False Let h = 0.26 - -14.74. Let p = -110 + 93. Let u = h + p. Are 0.03 and u non-equal? True Let r = 437 - 350. Is r at least as big as 87? True Let j = -2 + 3. Let i = -47 + 54. Suppose 40 = i*b + 3*b. Which is smaller: b or j? j Let m = -1150 + 1150.3. Let r = -4 + -1. Do m and r have the same value? False Let i = -1199 - -37171/31. Which is smaller: -1 or i? -1 Let v = -38 + 51. Let i = v - 13. Is 3/17 not equal to i? True Let j = 60.1 + 0.9. Let r = j + -55.6. Let t = -0.6 - r. Does 0 = t? False Let r(h) = h. Let w(y) = y + 67. Let o(l) = 2*r(l) + w(l). Let v be o(-20). Which is smaller: 23/3 or v? v Let w be -6 + 2/8 + 2587/1404*3. Let c = 1 - 1. Do c and w have the same value? False Let w be 3588/351 - -1*(-6)/27. Suppose b = -b + 24. Is b > w? True Let h = 0.2 + -1.2. Let d = 0.1521 + 0.4279. Are d and h equal? False Suppose -44 = 4*y - 2*y. Let m be 10/(-60) + y/12. Which is smaller: -18/11 or m? m Let g = 218 + -217. Which is smaller: g or 1/200? 1/200 Let j be -3 - (396/(-51))/4. Let r = 9682/7 + -657809/476. Let g = j - r. Are -2 and g equal? False Let k be (-14)/(-18) - (-64)/288. Let c be (-6 - 2681/(-28)) + k/4. Is c smaller than 89? False Let q(h) = -7*h**3 - h**2 + 2*h - 1. Let t be q(1). Suppose -10 = l - 2*r, -2*l = 5*r - 4*r + 15. Let g = l + 7. Which is smaller: t or g? t Let m = 3 - 3. Let j be 35/(-11) + (6 - (-4 + 6)). Which is smaller: m or j? m Suppose 2*v - 7*v = 4*v. Let l be (-3)/6*6/(-93). Is l less than v? False Let c be 71/(-284)*(-17)/2*2. Are -1/44 and c nonequal? True Let s be (117/576*-4)/(1/(-4)). Is s at least as big as 2? True Let z(p) be the second derivative of -1/2*p**2 + 1/12*p**4 - 2/3*p**3 + 0 - p. Let i be z(4). Which is greater: -2 or i? i Suppose -j - 4*q - 11 = 0, -3*j - 2*q = -14 + 7. Suppose -h + 5*s = 3*h - 44, -j*h - s = -26. Which is smaller: h or 11? h Let r(j) = 5*j + 9. Let m be r(7). Suppose -5*w = 5*i + 150, 2*i - 3*w + m = -w. Let o = 26 + i. Which is greater: o or 3? 3 Let s(q) = q**2 - q - 1690. Let f be s(0). Let l = 580 + f. Let p be 40/l*(-6)/(-4). Is p less than or equal to 0? True Let y = 26228/31 + -846. Which is smaller: y or -0.3? -0.3 Suppose 0 = 13*c - 14*c - 4*q - 8, 0 = 2*c + 4*q + 8. Let t = -3.6 - -9.4. Let a = t - 6. Is a < c? True Suppose -179 = -9*a - 170. Are 2/797 and a equal? False Suppose -9*a + 48 = 3. Let d be (-966)/(-1884) - ((-10)/(-4))/a. Is d equal to -1? False Let h(n) = n**3 + 3*n**2 - 2*n + 8. Let s be h(-4). Suppose s = 2*d - 4, -9 = i - 5*d + 2. Is -9 <= i? True Suppose 5*w - 3*p - 37 = 0, 4*w - 4*p = -0*w + 36. Suppose 0 = -5*t + 5*j + 25, -2*t - 3*j + w = -t. Let n be (-70)/8 - t/20. Is 0.1 at most as big as n? False Let b = -196 + 170. Are -180/7 and b equal? False Let y(t) = t + 9. Let i be y(-6). Suppose 6 = i*b + 2*f, -2*b = -3*b + 5*f - 15. Let u = -2 + -4. Is b > u? True Let c be 1/5*((-122)/(-22) - 6). Which is smaller: -20 or c? -20 Let n = 59 + -91. Let h = n + 29. Is -0.1 less than h? False Let n = 6 + -7. Let k = -1 + 8. Let q = -9 + k. Which is bigger: q or n? n Let z = -1955/99 - -183/11. Let k = z - -178/63. Suppose -3*j - 3 = w, -w + j = -3*w - 1. Which is greater: w or k? w Let w = 2941/9 - 327. Let q be (1 + (-1 - 0))/2. Is w at least as big as q? False Let s be 45/((-54)/(-6)) + -376. Is -370 > s? True Suppose 5*y - 735 - 945 = 0. Is 338 not equal to y? True Suppose -5*f + 21 = 2*l, -3*f + 12 = 2*l - 3. Suppose -s = -3*q + f*s - 19, -5*s = -2*q - 22. Is -4/19 not equal to q? True Suppose 0 = -2*x - 3*p - 2*p - 26, -p = -2*x - 2. Let f be -1*(0 + x) + 65/(-5). Which is greater: -4 or f? -4 Suppose -5*u + 48 = k - 36, 2*u + 4*k - 48 = 0. Let c be u + -20 + 227/57. Which is smaller: -1 or c? -1 Let q(b) = -5*b**2 - 6*b - 6. Let f be q(-4). Let t = f + 104. Let w be (t/30)/(6/(-10)). Is -2 > w? True Let j = 58 - -169. Suppose -j = 3*y - 53. Which is greater: -59 or y? y Let w = 88 - 86. Suppose -3*s = -4*x + 7, 6*x - w*x - 8 = 4*s. Is s less than 6/25? True Let j = 0.11 + -0.11. Let w = j + 11. Let z = 12 - w. Is z at least 2/7? True Let d be (-1 - 1)*(-1 - (-16)/14). Let g(y) = y**3 - 3*y**2 - y - 1. Let w be g(4). Does w = d? False Let m be (-19 + 36)/((-44)/(-24)). Which is smaller: m or 9? 9 Let s(x) = -x**3 + 5*x**2 - x - 8. Let b be s(4). Suppose 3*h = 5*y - 73, -y - b*h - 60 = -5*y. Which is bigger: 13 or y? y Let u be 4*(1 + 0) + -7. Let t(x) be the third derivative of -x**4/24 - x**3/2 + 3*x**2. Let b be t(0). Is b greater than or equal to u? True Let l(g) be the first derivative of g**3/3 + g**2/2 - 4. Let m(t) = 8*t**2 + 5*t + 1. Let q(i) = 4*l(i) - m(i). Let j be q(-1). Which is smaller: j or 0? j Suppose -3*x + a - 19 = 5*a, -5*a = 20. Let k = 57 + -53.2. Let b = -3.8 + k. Is b <= x? False Let x = -57 - -55. Which is smaller: 1.9 or x? x Let q = -0.03 + -2.97. Let w = -7 + q. Let g = -53/95 + 3/19. Is g greater than w? True Let s(r) = -150*r**3 + 7*r - 8. Let z be s(1). Are z and -150 equal? False Let l(m) be the second derivative of -m**5/20 - m**4/2 - 7*m**3/6 - 5*m. Let k be l(-5). Let a be 192/k + (-4)/20. Which is greater: a or 20? 20 Let z = -10 - -10. Let w = -2 + z. Let f be ((-10)/40)/(w/52). Which is smaller: f or 8? f Suppose 4*p = 5*t + 18, -4*t + 4*p = 10 + 2. Let y = 9 - -27. Let b be (-150)/y - 3/6. Is b > t? True Let i = 24.9 - 4.9. Does i = 0.03? False Suppose 3*z = 6*z - 24. Let j be ((-2)/z + -1)*2. Suppose 3*q - 1 = 4*n - 3, -5*q - 58 = 7*n. Which is smaller: j or n? n Let p = 78 - 563/7. Which is bigger: -2 or p? -2 Let x(i) = i**2 + 7*i - 8. Let t be x(-6). Let c = 16 + t. Let g be 3/(9*c)*-4. Is 0 at most as big as g? False Suppose 0 = 5*s - 5*y + 5, -2*y = -4*s - 0 - 8. Let o = 14 - 18. Which is smaller: s or o? o Suppose 9*a + 139 = 8*a. Which is smaller: -135 or a? a Let y be 94/(-24) - 4/48. Let o be 100/(-21) + 4/(-6). Which is smaller: o or y? o Suppose 530 - 196 = -2*r. Let h = r + 1501/9. Let l = -1 - -0.8. Which is bigger: l or h? l
Solve -2*c**3/5 - 9556*c**2/5 - 95312*c/5 + 228864/5 = 0 for c. -4768, -12, 2 Find v, given that -3*v**3/2 + 65580*v**2 + 918291*v/2 - 524724 = 0. -8, 1, 43727 Factor n**2/2 - 482357*n/2 + 1929396. (n - 482349)*(n - 8)/2 Let 4*t**3 - 54064*t**2 - 273036800*t - 298063813632 = 0. Calculate t. -2056, 17628 Determine q so that 9*q**5/2 + 6715*q**4/2 - 53379*q**3/2 + 116737*q**2/2 - 50121*q + 15080 = 0. -754, 8/9, 1, 5 Factor -3*u**2 + 2905827*u - 11623260. -3*(u - 968605)*(u - 4) Find s, given that 5*s**2 - 226220*s - 17448585 = 0. -77, 45321 Let 2*c**2/11 + 233676*c/11 - 1869536/11 = 0. Calculate c. -116846, 8 What is u in 2*u**2/7 - 78485658*u/7 + 78485656/7 = 0? 1, 39242828 Factor w**3/2 + 3358*w**2 + 432441*w/2 + 419013. (w + 2)*(w + 63)*(w + 6651)/2 Suppose 2*z**2 + 2116026*z - 12696228 = 0. Calculate z. -1058019, 6 Determine w, given that w**2 - 10816*w + 2909040 = 0. 276, 10540 Factor -2*f**4/3 + 26300*f**3/3 + 1512096*f**2 + 86436396*f + 1644637302. -2*(f - 13321)*(f + 57)**3/3 Suppose -5*y**4 - 13266005*y**3 - 8799271469610*y**2 + 96793352568900*y - 158389513131240 = 0. Calculate y. -1326606, 2, 9 Let -3*p**4 - 10791*p**3 - 417582*p**2 - 4614084*p - 10375128 = 0. What is p? -3558, -18, -3 What is g in -2220*g**5 - 4251*g**4 + 2205*g**3 + 3858*g**2 + 408*g = 0? -2, -4/5, -17/148, 0, 1 Suppose -v**3/3 + 3218*v**2/3 - 252640*v/3 + 1673600 = 0. What is v? 40, 3138 What is g in -7813575*g**4 - 1888755*g**3 - 113480*g**2 + 80*g = 0? -4/33, 0, 1/1435 Solve -76*f**4/7 - 240*f**3 + 17448*f**2/7 + 397328*f/7 - 368220/7 = 0. -19, 17/19, 15 Factor -l**2/2 + 276*l + 275544. -(l - 1068)*(l + 516)/2 Determine u so that -u**3/4 + 105051*u**2/4 + 131319*u + 105056 = 0. -4, -1, 105056 Factor 21025*j**5 + 212860*j**4 + 551806*j**3 + 66060*j**2 + 2025*j. j*(j + 5)**2*(145*j + 9)**2 Suppose -12798929188*v**3 - 303111556*v**2 + 651872*v - 336 = 0. What is v? -21/817, 2/1979 Factor -3*s**3/5 - 159576*s**2. -3*s**2*(s + 265960)/5 Determine x, given that -2*x**2/7 - 15800*x + 22200000/7 = 0. -55500, 200 Let 2*l**4/5 + 989634*l**3/5 - 2968914*l**2/5 + 2968918*l/5 - 197928 = 0. Calculate l. -494820, 1 What is u in -2*u**2/17 - 863162*u/17 - 12946980/17 = 0? -431566, -15 Factor 4*f**4 - 97840*f**3 - 5000244*f**2. 4*f**2*(f - 24511)*(f + 51) Factor -2*u**2/3 - 124336*u + 746040. -2*(u - 6)*(u + 186510)/3 What is b in 39*b**4/5 + 13098*b**3/5 + 824124*b**2/5 + 3140568*b/5 + 617760 = 0? -3300/13, -78, -2 Suppose -3*h**3 + 487674*h**2 - 19819802835*h + 79271408748 = 0. What is h? 4, 81277 Factor 5*v**3 + 23325*v**2 - 66146160*v + 37952036420. 5*(v - 1058)**2*(v + 6781) Factor 37*a**3/8 - 7325*a**2/2 - 91413*a/8 - 2385/2. (a - 795)*(a + 3)*(37*a + 4)/8 Suppose -3*s**5 + 41*s**4 + 7878*s**3 + 94446*s**2 - 212675*s + 110313 = 0. Calculate s. -103/3, -17, 1, 63 Solve -35*m**3/2 + 13815*m**2/2 - 679055*m - 194580 = 0 for m. -2/7, 188, 207 Find o such that 5*o**3 - 16155*o**2 - 1189080*o = 0. -72, 0, 3303 Find j such that -2*j**2/3 + 230622*j + 17989868/3 = 0. -26, 345959 Find h such that -4*h**4/7 - 7328*h**3/7 + 8356680*h**2 - 11594684416*h + 4873774211572 = 0. -5339, 1169 Solve 4*d**4 + 6280*d**3 + 197104*d**2 + 369120*d = 0. -1538, -30, -2, 0 Suppose -3*u**4 + 885*u**3 + 21*u**2 - 6177*u - 5310 = 0. Calculate u. -2, -1, 3, 295 Factor -l**2/2 - 698*l - 246123/2. -(l + 207)*(l + 1189)/2 Determine k, given that -k**5/5 + 153*k**4/5 + 3507*k**3/5 - 1613*k**2 - 11418*k/5 = 0. -22, -1, 0, 3, 173 Solve -q**2/8 + 190429603*q/4 - 36263433698737609/8 = 0 for q. 190429603 Factor -3*t**2/2 + 14202969*t/2 - 56811780. -3*(t - 4734315)*(t - 8)/2 Factor 4*w**2/7 - 13959928*w/7 + 12179974360324/7. 4*(w - 1744991)**2/7 What is h in h**2/3 - 8672*h/3 - 212795 = 0? -73, 8745 Factor -2*d**2 - 1647804*d. -2*d*(d + 823902) Let s**2/2 + 1350494*s - 10803984 = 0. Calculate s. -2700996, 8 What is q in 3*q**4/5 - 984*q**3/5 + 44943*q**2/5 + 1522614*q/5 - 1566576/5 = 0? -23, 1, 86, 264 Solve -o**5/7 - 1085*o**4 - 14454987*o**3/7 - 128449945*o**2/7 + 1956611464*o/7 = 0. -3793, -17, 0, 8 Factor 3*v**3/7 + 107166*v**2/7 + 236321259*v/7 + 19230410796. 3*(v + 1159)**2*(v + 33404)/7 What is l in -351*l**4/2 - 4361*l**3 - 29156*l**2 + 7249*l + 745239/2 = 0? -11, -2053/351, 3 Solve a**3/3 - 1511*a**2/3 - 327169*a/3 + 328679/3 = 0. -193, 1, 1703 Determine i so that -148*i**5 + 1076*i**4 - 1948*i**3 - 276*i**2 + 1296*i = 0. -27/37, 0, 1, 3, 4 What is h in 2*h**5/3 - 7094*h**4/3 + 629860*h**3/3 - 3000496*h**2/3 + 792576*h = 0? 0, 1, 4, 86, 3456 Solve -3*x**2/5 - 6420*x - 4372668/5 = 0 for x. -10562, -138 Find t such that -5*t**3 + 120810*t**2 - 292802400*t - 5919801434080 = 0. -5414, 14788 Let m**2 + 11245*m + 2748750 = 0. Calculate m. -10995, -250 Determine o so that o**5/3 - 72204*o**4 + 3911146098*o**3 - 117280452564*o**2 + 598089568635*o - 844339729032 = 0. 3, 24, 108291 Solve -2*d**2 + 183028*d + 11721984 = 0. -64, 91578 Find s, given that s**4/3 - 947*s**3/3 - 12500*s**2/3 + 6372*s + 26880 = 0. -14, -2, 3, 960 Find t such that 11568*t**4 - 59037*t**3/5 - 114507*t**2/5 + 2418*t/5 + 48/5 = 0. -1, -1/80, 8/241, 2 Solve 4*w**5/9 - 38*w**4/3 + 970*w**3/9 - 250*w**2 + 466*w/9 + 308/3 = 0. -1/2, 1, 3, 11, 14 Let -h**3/2 - 615069*h**2 - 2460273*h/2 - 615068 = 0. Calculate h. -1230136, -1 Find z such that -2*z**3 + 15294*z**2 + 91850*z - 107142 = 0. -7, 1, 7653 Factor 2*g**2 + 9099990*g - 27299988. 2*(g - 3)*(g + 4549998) Let -3*b**2 - 82560*b + 113754075 = 0. Calculate b. -28835, 1315 What is u in 2605*u**2 - 2618065*u + 40200 = 0? 8/521, 1005 Factor p**2/6 + 49001*p/3 + 1665745/6. (p + 17)*(p + 97985)/6 Determine p, given that 5*p**2/2 - 57565*p/2 - 692220 = 0. -24, 11537 What is a in a**3/2 - 1095*a**2 - 104967*a/2 - 192382 = 0? -43, -4, 2237 Factor p**2 - 3088343*p - 6176690. (p - 3088345)*(p + 2) Find v, given that 5*v**5/4 + 9275*v**4/4 + 4217155*v**3/4 + 104987545*v**2/4 + 168093315*v = 0. -1116, -713, -13, 0 Let -625*f**4 - 131100*f**3 - 6736909*f**2 + 15072018*f + 56052872 = 0. Calculate f. -2647/25, -2, 4 What is n in -3*n**3 + 3669*n**2 + 52170*n - 267192 = 0? -18, 4, 1237 Factor -q**2 + 22247136*q - 123733765050624. -(q - 11123568)**2 Determine y, given that 3*y**3/7 + 942*y**2/7 + 3627*y + 169290/7 = 0. -285, -18, -11 What is i in -4*i**4 - 372*i**3 + 6412*i**2 + 371028*i - 6396264 = 0? -98, -37, 21 What is b in -4*b**4 + 878448*b**3 - 48240849016*b**2 + 1253816736432*b - 8148843925924 = 0? 13, 109793 Solve -3613801*b**3/4 - 155412453*b**2/4 - 817455*b/4 - 1075/4 = 0. -43, -5/1901 Factor -2*j**3/5 - 33956*j**2/5 - 271168*j - 2710080. -2*(j + 20)**2*(j + 16938)/5 Solve -5*w**3 - 15589580*w**2 + 15589585*w = 0. -3117917, 0, 1 Factor 5*y**4 - 2330*y**3 + 75245*y**2 + 77580*y. 5*y*(y - 431)*(y - 36)*(y + 1) Solve 4*s**5 - 778212*s**4 + 37853593452*s**3 - 264946361020*s**2 + 454177753392*s = 0 for s. 0, 3, 4, 97273 Solve -j**5/5 - 2630*j**4 - 275808*j**3/5 - 259982*j**2 - 1824991*j/5 - 157548 = 0 for j. -13129, -15, -4, -1 Suppose 16*d**5 - 12552*d**4 + 154777*d**3 - 290817*d**2 - 175214*d - 23160 = 0. Calculate d. -1/4, 3, 10, 772 Determine g, given that g**2/6 - 233651*g/6 + 700899 = 0. 18, 233633 Let 2*x**4/5 + 1458*x**3/5 - 408034*x**2/5 + 24820902*x/5 - 24414328/5 = 0. What is x? -956, 1, 113 Factor 3*x**3 - 7599*x**2 - 6661944*x + 6669540. 3*(x - 3222)*(x - 1)*(x + 690) Find p such that 6*p**2/11 + 3329926*p/11 + 33298660/11 = 0. -1664933/3, -10 Solve j**4 - 113362*j**3 + 3338389861*j**2 - 7122200042100*j + 3947238211702500 = 0 for j. 1131, 55550 Solve a**5 + 2770*a**4 + 117745*a**3 + 1321320*a**2 + 3960900*a + 3534192 = 0. -2727, -27, -12, -2 What is b in -b**3/4 + 755*b**2 - 599333*b/4 + 2023847/2 = 0? 7, 206, 2807 Suppose -3*m**3 + 37956*m**2 - 907773*m - 18222204 = 0. What is m? -13, 37, 12628 Factor -2*c**2 - 5916*c + 7030206. -2*(c - 909)*(c + 3867) Factor -3*t**2/4 - 20637732*t - 141971994034608. -3*(t + 13758488)**2/4 Factor 2*p**3/7 - 271006*p**2/7 - 207924128*p/7 - 39769251416/7. 2*(p - 136267)*(p + 382)**2/7 Solve -4*a**3 + 2333476*a**2 + 4666964*a + 2333484 = 0. -1, 583371 Find x, given that -4*x**3 + 10712008*x**2 - 7171683999984*x - 14343410848032 = 0. -2, 1339002 Let 2*y**4/5 - 14094*y**3/5 + 126688*y**2/5 - 28056*y/5 - 675648/5 = 0. Calculate y. -2, 3, 8, 7038 Factor -3*v**3/4 - 838716*v**2 + 3354873*v - 3354876. -3*(v - 2)**2*(v + 1118292)/4 Find k such that -5*k**2 + 419482520*k - 8798279229277520 = 0. 41948252 Let h**4 + 7715177*h**3 - 30860720*h**2 + 30860724*h = 0. What is h? -7715181, 0, 2
Expand (3*v + 4*v - 5*v)*(4 + 0 + 2*v**4 - 2) + 7*v**5 + 6*v - 6*v. 11*v**5 + 4*v Expand (2*h**2 - 2 + 2)*(0 - h**3 + 0) + h**5 + 0*h**3 + 0*h**3 + 2 - h**5 - 2. -2*h**5 Expand (-2*y + 2*y + y)*(-2 + 1 + 4)*(-1 - 2 + 7). 12*y Expand (-3*l**3 + l**3 + 3*l**3)*(1 - 1 - l) + (7*l**3 - 2*l**3 - l**3)*(3*l - 2*l - 3*l)*(2 - 3 - 1). 15*l**4 Expand (-x + 4*x - x)*(0*x**2 - 7*x**2 + 2*x**2) + x**3 + 0*x + 0*x. -9*x**3 Expand (4*u**2 + u**2 - 6*u**2)*((-2*u + 1 - 1)*(-u - u + 3*u) + 3*u**2 + 0*u**2 + 2*u**2). -3*u**4 Expand 9 - 17*s**2 - 9 + (3*s - s - 3*s)*(-s - 3*s + 3*s) + 1 - 1 - s**2 + (0*s**2 + 3*s**2 - s**2)*(-2 + 3 - 2) - 2*s**2 - s**2 + 4*s**2. -18*s**2 Expand (-4*b**2 + 3*b**2 - 2*b**2)*(11 - 42*b - 11). 126*b**3 Expand (-3*o**2 + 2*o**2 + 0*o**2)*(-5 - 1 + 4)*(2*o**2 + 0*o**2 - 6*o**2). -8*o**4 Expand (3 + 1 - 3)*(2*h - 5*h + 2*h + (-2*h - 1 + 1)*(0 + 0 + 1) + (2 + h - 2)*(-3 + 0 + 1) + 0 + 0 + h - 1 + 5*h + 1). h Expand (-2*j**2 + 2*j**2 - 2*j**4)*((3*j + j - 2*j)*(1 + 3 - 2) + 2 - 2 - 3*j). -2*j**5 Expand -12*j**4 + j - 2*j**4 + 8*j**4 - j**2 + j**2 + j**4 + (-j**2 - j**2 + j**2)*(2*j**2 + 2*j**2 - 2*j**2) + 2*j**4 - j**4 - 2*j**4. -8*j**4 + j Expand (13 - 5*x - 13)*(x - 2 + 2) + (2*x**2 + 0*x**2 - x**2)*(2 - 2 + 1). -4*x**2 Expand (3*m + 2*m**2 - 3*m)*(-3*m**2 + 3*m**2 + 3*m**3 + (0*m**2 - 2*m**2 + m**2)*(5*m - 4*m - 3*m) + 0*m - m + 0*m**3 - m**3)*(-4 + 2 + 1). -8*m**5 + 2*m**3 Expand 0*y**5 + 2*y**5 - y**5 + (y**4 - y**4 + y**4)*(y - 3*y + 4*y) + 28*y**5 + 46*y - 46*y. 31*y**5 Expand (2*d**3 - 5*d**3 + 2*d**3)*(7 - 7*d - 6 + 1). 7*d**4 - 2*d**3 Expand (-4*n**4 + 5*n**4 + 3*n**4)*(-5 - 8 + 12 + 8*n). 32*n**5 - 4*n**4 Expand 0 - n**3 + 0 + ((2 + 0 - 1)*(-2*n**2 + 3*n**2 - 3*n**2) - 8 + 8 - 8*n**2)*(0 - 3*n - 1 + 3). 29*n**3 - 20*n**2 Expand (i - 4*i + 2*i)*(2*i + 0*i - i) - 3 - 2*i**2 + 3 - 22 + 22 + 6*i**2 + i**2 - 4 + 4. 4*i**2 Expand (1 - 1 - 2)*(43*i**3 + 8*i**3 - 10*i**3). -82*i**3 Expand (-3*t + t + 3*t)*(-t**4 - t**4 + 4*t**4) + t**5 + 10*t**3 - 5*t**3 - 4*t**3. 3*t**5 + t**3 Expand -u**2 - 5 + 2 - 10 + (-u + 3*u - 3*u)*(3*u + 0*u - 2*u) - 3*u**2 + u**2 + u**2. -3*u**2 - 13 Expand y - 2*y + 4 - 2 + 2*y - 5*y + 2*y + (4 + 0 - 5)*(y + 0*y + y) + 2*y - 7*y + 4*y + 1 - 1 - 2*y + 0*y - 3*y + y. -9*y + 2 Expand (-m + 3*m + 2*m)*(8*m**4 - 28*m + 28*m). 32*m**5 Expand (-3 + 2 + 0)*(-34*d**3 + 29*d**3 + 16*d**3). -11*d**3 Expand 0*r**3 - 5*r**3 - 2*r**3 + (-r + r + r)*(-r**2 - r**2 + r**2) - 2*r**3 + 2*r**3 - 2*r**3 + 5*r**3 - 4*r**3 - 7*r**3. -16*r**3 Expand (-2*m + 4*m - m)*(0*m - m**2 + 0*m)*(-4 - 1 + 3). 2*m**3 Expand (-2 + 2*z + 2)*(38*z**4 + 41*z**4 - 18*z**4). 122*z**5 Expand (-10*q + 2 + 2*q + 5*q)*(-4*q**2 + 10*q**2 + 2*q**2). -24*q**3 + 16*q**2 Expand (10 + 11*k - 6 - 6)*(1 + 1 + 0). 22*k - 4 Expand 2*n + 3*n - 2*n + (0 + 5 - 4)*(4*n - 4*n - n). 2*n Expand (1 + 5 + 7)*(l - l + l**4). 13*l**4 Expand (1 - 1 - 2*l**2 + 2*l**3)*(-2 - 4*l - l + 2*l). -6*l**4 + 2*l**3 + 4*l**2 Expand (2 - 2 - 3*y**3 + y)*(1 - 3 - 3) + 0*y**3 + 0*y**3 - y**3. 14*y**3 - 5*y Expand (4*v + v + 0*v)*((0 - 1 + 2)*(-1 - 3 + 6) + 3 - 5 + 3). 15*v Expand (-3*j**2 - 2*j**2 + 4*j**2 + (3*j**2 - 4*j**2 - j**2)*(-1 + 0 - 1))*(3*j**2 + 0*j**2 - j**2). 6*j**4 Expand (p + 2*p - p)*(2*p**3 - 5*p**2 + 5*p**2). 4*p**4 Expand y**5 + y**3 - y**3 + (3*y**4 + 0*y**4 - y**4)*((y - 1 + 1)*(4 - 2 - 4) + 0*y - y + 0*y - 2*y - 2*y - 4*y + 3*y - y - y). -19*y**5 Expand 84*j**5 + j**4 - 3*j**2 + 89*j**5 - 167*j**5 + (j**4 - 2*j**4 + 3*j**4)*(2*j - 3*j + 0*j). 4*j**5 + j**4 - 3*j**2 Expand -6*b**4 + 2*b**4 + 2*b**4 + (0*b + 0*b + 2*b**2 + (-3*b + 2*b + 2*b)*(0*b + b + 0*b))*(14 + 30*b**2 - 21*b**2 - 12*b**2). -11*b**4 + 42*b**2 Expand (17 - 21 + 18)*(7*z - 3*z - 2*z). 28*z Expand (-m + 0*m + 2*m)*(11 - 12 - 21)*(-m - 2*m + m). 44*m**2 Expand (0*o - o - o)*(2 + 1 - 5) - o - 2*o + 2*o. 3*o Expand (-4*z**2 + 2*z**2 + 5*z**2)*(-2 + 5 - 2). 3*z**2 Expand (-3*a**2 + a**3 + 3*a**2)*(-4 - 5 + a + 6)*(5*a - a - 2*a). 2*a**5 - 6*a**4 Expand (-4 - 1 + 2 + (-1 - 3 + 3)*(0 - 2 + 4))*(3*x - 3*x + 5*x). -25*x Expand (2*g**2 + g**2 - 4*g**2)*(3*g + 0*g - g). -2*g**3 Expand -c - 5 + 5 - 2*c - 3*c + 6*c - c + 4*c - c + (1 + 0 + 1)*(3 - 3 + c). 4*c Expand (-6*f + 2*f + 0*f)*((3*f - 4*f + 0*f)*(-1 + 5 - 2) + 6*f - 47*f + 8*f). 140*f**2 Expand 11*q - 5*q - 13*q + (0*q + 0*q - 2*q)*(1 - 4 + 1) + 1 + q - 1. -2*q Expand (-3*q**2 + 3*q**2 - 2*q**2)*(7 + 4 + 4)*(-4 + 6 + 1). -90*q**2 Expand (-3*s**3 + 3*s**3 - s + 2*s**3)*(32 - 28*s**2 - 32). -56*s**5 + 28*s**3 Expand (-c - 2 + 2)*(5*c**2 - 2*c**2 - 2*c**2) - 7 + 5 + 4*c**3 + 1. 3*c**3 - 1 Expand (k - 3*k - k)*(1 + 1 - 3)*(-9 + 9 - k**3). -3*k**4 Expand (4 + 11*m - 8*m + 0*m)*(2*m**2 + m**3 - 2*m**2). 3*m**4 + 4*m**3 Expand (3*a**2 + 5 - 5)*(4*a - 2*a - a) + 1356 - 1356 - 10*a**2 - a**3. 2*a**3 - 10*a**2 Expand (9 + d**2 + 8*d - 9)*(d - 2*d + 0*d). -d**3 - 8*d**2 Expand (-3*l**3 + 5*l**3 + 0*l**3)*(3*l + 2*l - 3*l). 4*l**4 Expand -2*w + 1 - 1 + (2 + 2 - 2)*(w + 0 + 0) - 6 + 18*w + 6 - w + 2*w - 3*w + 5*w - 4*w - 3*w - 5*w + 3*w + 4*w + (0 + 4 - 2)*(2*w - 2*w + w) - w + 3*w + 0*w. 20*w Expand (4 - 4 - 3 - 4 + 5 - 3 + (1 + 0 - 2)*(-1 - 3 + 5) + 0 + 3 + 0)*(2*p - 2*p + 2*p). -6*p Expand 1 - 1 - 2*k**2 + (6 + 0 + 3)*(0*k - k**2 + 0*k) - 3*k + 3*k + 2*k**2 + (0*k + k + 0*k)*(1 - 1 + 2*k) + 2*k**2 + 0*k**2 + k**2. -4*k**2 Expand (-2 + 2 - 2*k)*(k + k - 4*k + (3*k - k - k)*(-3 + 1 + 0)). 8*k**2 Expand (-n**2 + n**4 + n**2)*(-2*n - 4*n - 1 + 20*n). 14*n**5 - n**4 Expand (n**4 + 2*n**4 - n**4)*(4 + n - 4) - 53*n + 53*n - 8*n**5. -6*n**5 Expand (-2*g + 5 - 5)*(-2*g**3 + 4*g**3 + 0*g**3) - 2*g**4 - 6*g**4 - g**4 + 2*g**4 - g**4 + g**4. -11*g**4 Expand (2 - 1 + 1)*(0*p**2 + 0*p**2 - 2*p**2)*(-13 + 4*p**2 + 13). -16*p**4 Expand 4*h**2 - 4*h**2 - 2*h**2 + h**2 - 4*h**2 + 2*h**2 + (5*h - 5*h + 2*h)*(-2*h - h + 2*h) - 2*h**2 - h + h - 11*h**2 + 36*h**2 + 2*h**2. 20*h**2 Expand (2 - 2 + 1)*(0 + 3 - 2)*(-b + 5*b - 16*b). -12*b Expand (5*v - 3*v - 4*v)*(-2*v - v + 2*v)*(0*v - v - 2*v). -6*v**3 Expand (-6*b + 4*b + 3*b)*(0 - 2*b + 0) + 3 - 3 + b**2. -b**2 Expand -1 + 1 - 2*x + (4 + 1 - 2)*(-4*x + 3*x + 2*x) - 4*x + 0*x + 2*x. -x Expand (5 - 5 - 4)*(0*j**5 - j**5 + 0*j**5). 4*j**5 Expand (1 - 3 + 0)*(3*a**3 + a**3 - 2*a**3) + (-2*a - 1 + 1)*(-1 + 1 + 11*a**2) + 4*a**3 - 2*a**3 + 0*a**3. -24*a**3 Expand (s**2 + 2*s**2 - 2*s**2 + (4 - 4*s**2 - 4)*(-5 - 1 + 4))*(-2*s**3 - 3*s + 3*s + 4). -18*s**5 + 36*s**2 Expand (0*g - 3*g + g)*(-g**3 + 3*g**3 + 7*g**3)*(-g + 3*g - 6*g). 72*g**5 Expand (-3 + 0 + 4)*(-20*s**3 - s + s)*(1 - 1 - s) - 2 + 2*s**4 + 2. 22*s**4 Expand (0*h - 2*h + 3*h)*(13*h + 11 + 12*h - 24*h). h**2 + 11*h Expand (23*d + 0*d + 10*d)*(-2 - 1 + 6)*(-2*d + 1 - 1). -198*d**2 Expand ((-24 + 24 + 11*m)*(1 + m**3 - 1) + m**4 + 4*m**4 - 3*m**4)*(0 + 4 - 2)*(m - 2*m + 0*m). -26*m**5 Expand (0*i - 3*i + 2*i)*(i + 0*i + i) + (3*i - 2*i - 2*i)*(-1 + 1 - i). -i**2 Expand (6 - 6 + 2*x**2)*(4 + 2 - 4) + 3*x + x**2 + 0*x**2 - x. 5*x**2 + 2*x Expand 12*z**4 - 5 + 5 + (2*z + 0 + 0)*(-z + 2*z**3 + z) - 2*z**4 - z**2 + z**2. 14*z**4 Expand i**4 + 2*i**4 - 4*i**4 + (4*i**3 - 2*i**3 + 0*i**3)*(5*i + 0*i - 4*i) + (0*i**2 + 0*i**2 - 2*i**4)*(3 - 1 - 1) - 51*i**4 + 2221 - 2221. -52*i**4 Expand ((3 + 1 - 6)*(3*f + 2*f - 3*f) - 2*f + 0 + 0 - f - 3*f + f)*(3*f - f + 2*f)*(-2*f + 1 - 1). 72*f**3 Expand (-3*p - p**2 + 3*p)*(-14*p**2 + 8*p**2 + 12*p**2). -6*p**4 Expand (-4*y + 2*y + y)*(y**2 + 3*y**3 - y**2) - 2*y**4 - y**4 + 5*y**4 + 2*y**3 - 3*y**4 - 2*y**3 + 2*y**4 - 2*y**4 - 2*y**4. -6*y**4 Expand 4*x - 4*x + 2*x**5 + (0*x + 0*x - 3*x)*(0*x**4 - x**4 - x**4) + (6*x**2 - x**2 - 4*x**2)*(-6*x**3 - x**3 + 4*x**3). 5*x**5 Expand (c**2 + 0 + 0)*(-5*c**3 + 3*c**3 + 0*c**3 + (3*c**2 + c**3 - 3*c**2)*(-2 - 4 + 4) - 13*c**3 + 51 - 51) + 3*c**3 - 3*c**3 + c**5. -16*c**5 Expand 5*h**4 - 11*h**4 + 7*h**4 - 4*h**3 + 4*h**3 - 2*h**4 + (2*h**3 - h**2 + h**2)*(5 - 5 - 2*h). -5*h**4 Expand (4 + 3 - 5)*(0*c + 0*c + c) + (25 + 18 - 59)*(-1 + 2*c + 1). -30*c Expand (-a + 2 + 4 - 4)*(-11*a + 12*a - 6*a). 5*a**2 - 10*a Expand 0*r**2 + 6*r**2 + 8*r**2 - 2 + 2 + r**2 + (r + 2*r - 5*r)*(-2*r + 2*r + 2*r) - r**2 + 4 - 4 + 2*r**2 + 2*r**2 - 3*r**2. 11*r**2 Expand (3*k**5 - 3*k**5 + k**5)*(4 + 1 + 5). 10*k**5 Expand (-2 + 2 - 2*d**4)*(-5 - 20*d + 8 - 5). 40*d**5 + 4*d**4 Expand (-k**2 + k**2 + 2*k**2)*(17*k + 22*k - 85*k). -92*k**3 Expand -8*z**2 + 41 - 41 + (5*z - 2*z - z)*(1 + z - 1). -6*z**2 Expand (5*z + 4*z - 2*z)*((z + 0*z - 2*z)*(3 - z**3 - 3) - 4*z + 4*z - 2*z**4 + 0*z + 0*z - 2*z**4). -21*z**5
Suppose 3*o - 4*r - 42 = 0, -r + 50 = 4*o - 25. Let s = o + -9. Suppose q + 1 = 6. Solve -6*p + 13 = -p - 3*u, -q*p + 4*u = -s for p. 5 Let p(v) = 3*v**2 - 3*v + 3. Let n be p(3). Solve 4*g + n = t, g - t + 16 = -2*g for g. -5 Suppose 3*m = 47 + 22. Let l(u) = 2*u**2 - u - 4. Let v be l(-2). Suppose 4*n - v = 2*n. Solve 2*z + m = 3*w, -5*w + 40 = -3*z + n for z. -4 Let r(j) = 2*j - 24. Let g be r(12). Solve g = 3*v + 5*p - 9 - 4, 0 = 5*v - 2*p - 1 for v. 1 Let n be (2 + 4/(-3))*(-9)/(-2). Solve -z - 6 = -n, z - 17 = -5*k for k. 4 Let x(z) = -z - 3. Let j be x(-8). Let f be 5 + -3 + j - 3. Solve -f*q = 3*u, 2*u + q + q = 0 for u. 0 Let q(v) = v**3 - 11*v**2 + 25*v - 6. Let b be q(8). Solve 5*s - 5 = 5*m, 2*s + 13 = b*m + 5*s for m. 2 Let m be 2 + 2 + 2/(-1). Suppose -10*k + 105 = -3*k. Solve -3*c + k = -m*o - 0*c, -3*c = 5*o - 15 for o. 0 Suppose 0 = 2*q + 10 - 46. Suppose j + 2 = q. Suppose l = 4*g - j, -2*g + l + 8 = -2*l. Solve 4*i - 10 = 3*i - 5*r, -5*i - g = -2*r for i. 0 Suppose -3*w - u + 6 = -5, 2*w = 3*u. Solve 2*h + 4*y - 14 = 0, w*y - 13 = -h - 4 for h. 3 Let c = 9 + -6. Suppose -m - 4*k + 9*k = 18, 4*k - 16 = 0. Solve -c*z - 5*y = 19, 4*z - m*y + y = -10 for z. -3 Let a(y) = -8 - 4*y**2 + 3*y**2 - y + 10. Let d be a(0). Solve -j - d*j = -3*f, 0 = 4*j + f - 5 for j. 1 Suppose 12*s - 16*s = 0. Solve s*l = -2*b + 3*l + 21, 3*l + 12 = -b for b. 3 Let j = 12 - 2. Solve 3*a = -k - 13, 0 = -3*k + j - 4 for a. -5 Let v = 34 - 28. Solve -v = -h - 5, -10 = c - 5*h for c. -5 Suppose -4*b + 33 = -59. Solve 2*n + 8 = -2*n, -5*l - b = -n for l. -5 Let g be 0/(-2 + 5) - -2. Solve 2*r + g*n = 2, -r - 3*r - 3*n + 3 = 0 for r. 0 Let w be (-18)/(-18) + 2*1. Suppose -w*s - 5*b + 26 = 0, 3*b = 2*s + 4*b - 29. Solve -25 = 5*h, 2*v + s = -v - h for v. -4 Let u = -8 - -13. Suppose 2*t = -0*t - 12. Let l(j) = -2*j - 8. Let p be l(t). Solve -3*s + 50 - 10 = -u*n, -4*n + p*s = 40 for n. -5 Let r(a) = 2*a**2 + 2*a - 2. Let g be r(-2). Suppose -15 = -2*m - 3*m. Suppose -m*z + 5 = 2*z. Solve -3*o + g*w = z, 4*w - 13 = 7 for o. 3 Let q(t) = -t**3 + 11*t**2 - 12*t + 23. Let j be q(10). Solve -i = 3*n - 9, -2*i + 18 = j*n + 2*i for n. 2 Let v(p) = -p**3 + 3*p**2 + 4*p - 2. Let y be v(3). Let u be (-1)/5 - (-292)/y. Solve 4*a - 5*m = u, 2*a = 4*a + 5*m + 23 for a. 1 Let r be (-3 - (-4)/2) + 1. Suppose l = o + 3, r = -3*l + 2*l - 2*o. Solve 0 = l*i - 2*k - 2, -2*i - i - 3*k = 15 for i. -2 Let y = 10 + -8. Let a = 1 - 4. Let f be 2*(2/(-4) - a). Solve f*j - 3*t - y*t + 35 = 0, t = 2*j + 9 for j. -2 Let k be (-4)/(4 + -8) - -9. Solve 5*g + 5*w - k = 0, 3*g = -2*g + 4*w + 28 for g. 4 Let m be 1 + 6 + (-1 - 1). Solve -17 - m = y - 5*p, 4*y = -2*p + 22 for y. 3 Let y = 42 - 23. Let n = y - 15. Let c = -2 + 5. Solve 14 = -n*o - 2*s + 7*s, 7 = -c*o + 2*s for o. -1 Let r(l) = 4*l**3 + 6 + 4*l**2 - l**3 - 3 - 3*l - 4*l**3. Let m be r(2). Let z be 3/(m/((-25)/(-3))). Solve -3*p + 2*s + 1 - 6 = 0, -3*s + 9 = -z*p for p. -3 Suppose -4 - 46 = -t. Suppose 2*c + 3*c = 3*r - t, -3*r + 46 = -4*c. Let g = -4 + r. Solve 0 = 2*a - 5*w - 25, a + 4*w + g = -14 for a. 0 Let k = 26 - 23. Let a(c) = 4*c**2 - 1. Let w be a(-1). Solve w*q + 5 = 3*x - x, 0 = -x + k*q + 7 for x. -2 Suppose -d - 7 = -4*d + 4*y, -5*d = 5*y - 35. Solve 0 = -d*r + 5, 2*k = 5*r - 22 + 7 for k. -5 Suppose -3*f + 52 = 16. Let c = -10 + f. Solve -2*r - 6 - 3 = h, 2*r = -c*h - 12 for r. -3 Let v = 5 + -12. Let w = v + 11. Solve -2*p - 10 = 4*o, 5*p - w*o - 7 = 10 for p. 1 Let s be 1/((-46)/22 + 2). Let x = s - -7. Let m = 7 + x. Solve 0 = 5*h + m*g + 26, h + 2*g = -g - 10 for h. -4 Let f(y) = y**2 + 10*y - 5. Let b(i) = -i. Let h(u) = b(u) - f(u). Let q be h(-10). Solve -m - w + 0 - 1 = 0, -m - 5*w = -q for m. -5 Suppose 0 = w + 3*x + 2, 2*w + 3 + 1 = -5*x. Let u be (-1)/w + (-25)/(-10). Solve m = -4*g - 3*m + 16, 0 = -u*m + 12 for g. 0 Suppose 2*g - 5*g = -5*k + 10, 6 = 3*k + 2*g. Solve 3*u + 2*u = 0, 2*m = -u + k for m. 1 Suppose -2*g - 20 = -0*g. Let k be ((-4)/g)/(1/5). Suppose -5*d + k*d = 0. Solve 4*z + 3*m + 19 = d, 0 = -3*z + 3*m - 2*m - 11 for z. -4 Let b be (8 + -5)*(5/3 - 1). Solve d + b - 3 = -x, -3*x = -3*d + 15 for d. 3 Let z be ((2 + 0)*15/10)/1. Solve z*m + 4*d = -m - 20, -7 = m + 2*d for m. -3 Let r(f) = f**3 - 6*f**2 + 2*f - 9. Let w be r(6). Suppose -2*y = -5*y + 12. Solve -w*x + m = -1, x - y*x = 3*m - 9 for x. 1 Let i = 6 + 0. Let l = 6 - i. Solve l = 3*a - 2*g + 5, 2*a = g + 2*g for a. -3 Suppose -13*p = -17 - 22. Let c(m) = -m - 2. Let o be c(-5). Let z = 7 - o. Solve 2*s = -p*i + 25, s + 15 = z*i - 0*s for i. 5 Let n = 8 - 4. Suppose t = n*t. Let y(b) = -b**2 + 6*b - 3. Let a be y(5). Solve t = -5*x - 0*x, -a*u + 3*x = -4 for u. 2 Let a(n) = 6*n**2 - 7*n + 6. Let v(s) = -s**2 + s - 1. Let p(c) = a(c) + 5*v(c). Let z be p(3). Solve 0 = -x - 0*j - 5*j + 24, z*j = -3*x + 28 for x. 4 Suppose -2*p - 5*f = -3, -5*p - 2*f + 18 = -0*f. Suppose 0 = -i - 3*v, -i = 2*i - p*v - 52. Solve -4*c + 1 = -3*q + 5, 2*c - 4*q + i = 0 for c. 2 Let p(t) = t**2 - 5*t + 2. Let j be p(6). Solve w + 2*a = -w + j, -5*a + 12 = w for w. 2 Let k(a) = a + 10. Let y be k(-7). Suppose -5*t - 5*n = -4 - 1, 4*t + 5*n - y = 0. Solve -5*w + t*w + 2 = 4*m, 3*m + 2*w = 1 for m. -1 Let d(s) be the first derivative of -s**2/2 + 7*s - 2. Let z be d(5). Solve -5*i = -5*u + 10, -z*u - i + 6 = -4*i for u. 0 Let z(v) = v**3 + 8*v**2 + 5*v - 9. Let w be z(-7). Solve 3*l + 2*a + 18 = 0, 0*l + w*a + 19 = -l for l. -4 Let j be (-3)/(-5 - (-16)/4). Suppose -5*z - j = -18. Solve 6*d = -z*q + 2*d + 5, 4*d = -2*q + 6 for q. -1 Suppose -5*k - 5 + 55 = 0. Let d be 14/5 + (-8)/k. Let o = 3 + -1. Solve d*w = -4*b - 17 - 1, o*w - 5*b = 18 for w. -1 Let r be (-4)/18 + (-570)/(-135). Solve -m - m + r*w - 28 = 0, 0 = 5*m + 2*w + 10 for m. -4 Let p = -5 + 15. Let h be p*3/(-24)*-4. Solve 4*w - h*y + 2 = 0, 5*w - 4*y = -3*y - 13 for w. -3 Suppose -5*u + 4*u + 1 = 2*g, 8 = 3*g - 5*u. Suppose -3*q = 2*q + 3*r - 3, -4*q + g = r. Solve -h - 1 = 3*d, q = 3*d + 2 + 1 for h. 2 Let y(m) = 3*m**2 - 12*m + 5. Let r be y(5). Suppose -15*j = -19*j + r. Solve 5*b = 3*p + 21, 5*b + 8*p - j = 3*p for b. 3 Suppose 8*o - 5*o = 9. Suppose o*x - 1 = 6*x + l, 0 = 4*l + 4. Let w be (x + 0)/(1 + 0). Solve -r - 5*c + 0*c = 21, w = 4*r + c - 11 for r. 4 Suppose -5*b + 8 = -b. Suppose u + b = -2*v + 4, 0 = 5*v + 3*u - 4. Solve 0 = -3*j - v*o + 25, 4*o = 2*j + 5 + 5 for j. 5 Suppose k + q - 9 = 7, 2*q + 8 = 0. Solve -4*r + 2*b + 26 = 0, -b - k = -r + 4*b for r. 5 Suppose 9*f = 4*f. Solve -2*g - 11 = -3*r - f*r, -4*r - g = 0 for r. 1 Suppose -13 = r - 66. Suppose -20 = -5*q + g, g - 4 = -3*q + 8. Suppose q*u = -9 + r. Solve -2*i - z = 2*z + u, -z - 7 = -i for i. 2 Let j be (2/(-4))/((-1)/16). Let v = -6 + j. Solve 3*x - 3*t = -3, -v = 5*t + 3 for x. -2 Let b = 5 + -3. Suppose -o + 3 = -0*o. Solve c = -3*p - o*c - 4, -4*p - 12 = b*c for p. -4 Let m(l) = 3*l**2 - 9*l - 9. Let v be m(-1). Solve u + o + 3 = -v*u, u + 2 = o for u. -1 Let a(z) = z**3 - 15*z**2 - 16*z. Let s be a(16). Solve 4*u + 16 = 3*f, -17 = -4*f + u - s*u for f. 4 Let w = 2 + 3. Let h be 351/(-26) - 2/4. Let y = -10 - h. Solve -4*l - k = -l + 3, 5 = -w*l + y*k for l. -1 Suppose -11*a = -30*a + 133. Solve 2*m - 2*y + 20 = 0, -3*m + a*y - 3*y - 35 = 0 for m. -5 Let v be 28/12 - (-1)/(-3). Suppose -3*m + 12 = m - n, -12 = v*m + 4*n. Solve z + m = -4*d - z, -d = -2*z - 7 for d. 1 Let k = 47 + -32. Suppose -1 + 49 = 4*t. Suppose 3*z = -3 + t. Solve -5*s = 4*i + k, -i - 7 = -z*s + 1 for s. 1 Suppose -5*r = 2*x - 0 - 23, -5*r + 3*x + 28 = 0. Solve -y + 3 = 4*f, r*f - 1 = -6*y + 2*y for y. -1 Let f be 36/(-126) - 102/(-14). Let j(s) = s + 1. Let k be j(2). Suppose 2 + 1 = k*l. Solve -z = q + l, 3*q = 3*z - 4*z + f for q. 4 Let n = 14 + -23. Let r be ((-15)/n - 1)*3. Solve -r*h = 2*o + 3*h + 15, 3*h = -3*o - 9 for o. 0 Let n(g) = -2*g + 23. Let u be n(10). Solve 4*i + u = 3*z - 5, -i - 3*z = 17 for i. -5 Let v(m) = 2*m**2 + 7*m + 2. Let p be v(-6). Suppose s = -b, 5*s + p = 4*b - b. Suppose -4 = -b*r + 4. Solve r*t - 2*a = 7*t - 4, a + 3 = 0 for t. 2 Suppose 4*g - 115 + 83 = 0. Solve 3*n - g = 3*u - u, 2*u - 2 = -2*n for n. 2 Suppose -3*g + 6*g - 41 = -4*o, 0 = -2*g + 2*o + 4. Solve -23 + g = 4*u, -2*i + 3*u + 14 = 0 for i. 1 Suppose 13 = 3*m - 3*u + 10, -4*u = -16. Solve 2*w + z = 1, 0 = m*w + z + 4*z for w. 1 Let t = -1 - -5. Suppose t*u = -0*u. Solve 4*v = 2*h - u*h + 30, -5*v - 2*h + 15 = 0 for v. 5
Collect the terms in -63786*m + 127475*m - 63656*m. 33*m Collect the terms in 2164*o + 2175*o + 2166*o - 8711*o + 2150*o. -56*o Collect the terms in 2931 - 1646 - 15*i - 1285. -15*i Collect the terms in -1199 - 1196 + 2373 + 2*h**2 + 28. 2*h**2 + 6 Collect the terms in -8*s**2 + 201*s**2 - 199*s**2 - 5 - 18. -6*s**2 - 23 Collect the terms in -1405*o + 1405*o + 4583905 - 4583905 - 16*o**2. -16*o**2 Collect the terms in -2238 + 4478 - 2248 + 1117*v**3. 1117*v**3 - 8 Collect the terms in 1753*y - 5494 - 5491 + 10985. 1753*y Collect the terms in -2322*h + 769*h - 3*h**3 + 780*h + 773*h. -3*h**3 Collect the terms in 37 - 501 + 464 - 20*c**2. -20*c**2 Collect the terms in -94*y**3 + 41*y**2 + 26*y**2 - 67*y**2 - 645*y**3. -739*y**3 Collect the terms in 31913*d + 31896*d + 237 - 63811*d. -2*d + 237 Collect the terms in -1618*z - 6978*z - 4879*z - 966*z. -14441*z Collect the terms in 47819*b**2 - 47832*b**2 + 10*b - 10*b. -13*b**2 Collect the terms in 669131*c**2 + 669145*c**2 + c - 1338264*c**2. 12*c**2 + c Collect the terms in -996193*n**3 - 996285*n**3 + 1992536*n**3. 58*n**3 Collect the terms in 2 + 8 - 374*v + 837*v - 275*v. 188*v + 10 Collect the terms in -3832*k - 2792*k + 1473*k - 3006*k - 2122*k. -10279*k Collect the terms in 26184*d + 3*d**3 - 2 - 206491*d - 2*d**2 + 3*d**3 - 5*d**3. d**3 - 2*d**2 - 180307*d - 2 Collect the terms in -633 - 1654*x**2 - 1753*x**2 + 1262 - 629. -3407*x**2 Collect the terms in -9311315 - 9311419 - 26*p + 18622734. -26*p Collect the terms in -8398*l - 8540*l + 16910*l. -28*l Collect the terms in 3*g**2 - 55*g + 51*g + 15*g**2 - 2 + 4. 18*g**2 - 4*g + 2 Collect the terms in -952*r**2 + 11 + 952*r**2 + 6 + 72*r**3. 72*r**3 + 17 Collect the terms in -14733*j - 14965*j + 29695*j. -3*j Collect the terms in -42 + 425*y + 88 + 19. 425*y + 65 Collect the terms in 26*m + 17*m - 34767 - 43*m + m**3. m**3 - 34767 Collect the terms in -1549*a + 5 - 2 - 1596*a - 1576*a + 6339*a - 1554*a. 64*a + 3 Collect the terms in 436854*w**2 + 15 - 15. 436854*w**2 Collect the terms in 69140*l - 34569*l - 28*l**2 - 34571*l. -28*l**2 Collect the terms in 5 - 5 + 235584*g**2 + 235574*g**2 - 471176*g**2. -18*g**2 Collect the terms in -48*b**3 - 1044*b**2 + 1047*b**2 - 116*b**3. -164*b**3 + 3*b**2 Collect the terms in 3*x**2 + 4*x**2 - 2*x**2 - 7*x**2 + 3*x + 0*x**2 + 6088. -2*x**2 + 3*x + 6088 Collect the terms in -185*h**3 + 20*h + 13*h + 33*h - 11*h**3. -196*h**3 + 66*h Collect the terms in 1911*j - 638*j - 639*j - 637*j + 654 + 2*j**2 + 542. 2*j**2 - 3*j + 1196 Collect the terms in -1204*t + 28 - 9*t**2 + 363*t - 31. -9*t**2 - 841*t - 3 Collect the terms in 0*r**3 + r**3 + 2819*r**2 - 20687*r**2. r**3 - 17868*r**2 Collect the terms in -22822 - 27*k - 22*k + 22822 + 7*k. -42*k Collect the terms in -3369*p**2 + 3367*p**2 - 9059 + 9059. -2*p**2 Collect the terms in 257*k + 40*k + 81*k + 203*k. 581*k Collect the terms in -9*l**2 + 11*l**2 - 12*l + 2 + 124*l + 73*l. 2*l**2 + 185*l + 2 Collect the terms in 1210631*d**3 + 751228*d**3 + 2401141*d**3 - 572649*d**3. 3790351*d**3 Collect the terms in 3136*k + 3132*k + 3140*k - 12549*k + 3133*k. -8*k Collect the terms in -8612*p**2 + 5*p - 6*p + 8473*p**2 + p + 4*p - p. -139*p**2 + 3*p Collect the terms in -2457335*q + 7542*q**3 + 9*q**2 - 2*q**2 + 2457335*q. 7542*q**3 + 7*q**2 Collect the terms in 592*d**2 + 296*d - 296*d - 1185*d**2 + 591*d**2. -2*d**2 Collect the terms in 445*l**2 + 15 + 13 - 28 - 205*l**2 - 137*l**2. 103*l**2 Collect the terms in -6*w**3 - 202*w**2 + 95*w**2 + 99*w**2 + 4*w - 30. -6*w**3 - 8*w**2 + 4*w - 30 Collect the terms in 2*g**2 + 2*g**2 + 197*g - 392*g - 12465 + 197*g. 4*g**2 + 2*g - 12465 Collect the terms in -42*n**3 - 1429*n + 1429*n + 460. -42*n**3 + 460 Collect the terms in 32*c**2 - 33*c**2 + 602*c**3 + c**2 - 598*c**3. 4*c**3 Collect the terms in 0*i + 0*i - 7044381 - i + 14088736 - 7044372. -i - 17 Collect the terms in -w**3 + 25464*w + 0 - 308 - 147875*w. -w**3 - 122411*w - 308 Collect the terms in 22*i**2 - 2 + 23*i**2 + 1275613*i**3 - 1275610*i**3. 3*i**3 + 45*i**2 - 2 Collect the terms in -34014157*r + 7576*r**2 + 34014157*r. 7576*r**2 Collect the terms in -114 - 39 - 45 + 32*a + 206 - 32*a - a**2. -a**2 + 8 Collect the terms in -131*k**2 + 127*k**2 - 63*k**2 + 47*k + 42*k - 89*k. -67*k**2 Collect the terms in -692*f + 2520*f - 1117*f + 5 - 2 - 3 - 689*f. 22*f Collect the terms in 1501*b + 1500*b - 5*b**2 + 21*b**2 - 26*b**2 - 3003*b. -10*b**2 - 2*b Collect the terms in -572732*q**2 + 1145653*q**2 - 572739*q**2. 182*q**2 Collect the terms in -2 - 3 + 5 - 51488*b**2 + 3*b + 51503*b**2. 15*b**2 + 3*b Collect the terms in 194*a + 11 + 20 - 58 - 198*a + 27. -4*a Collect the terms in -328 - 27*n**3 - 1171*n**2 + 552*n**2 - 782*n**2 + 328 + 29*n**3. 2*n**3 - 1401*n**2 Collect the terms in -7878095 + 7878095 + 16*p. 16*p Collect the terms in -105583*a + 384399*a - 42598*a + 1206913*a. 1443131*a Collect the terms in -40 - 43 - 6*r - 37 + 118 - 21*r. -27*r - 2 Collect the terms in 753*g - 820 - 192*g**2 - 753*g. -192*g**2 - 820 Collect the terms in -1 + 4 - 3 - 330014*o. -330014*o Collect the terms in 1465*f - 706*f - 806*f. -47*f Collect the terms in 159 - 81 + 198315*x - 78. 198315*x Collect the terms in 3*k**3 - 688935*k + 28*k**2 - 688941*k - 28*k**2 + 1377876*k. 3*k**3 Collect the terms in -4387657*w + 8775403*w - 4387537*w. 209*w Collect the terms in -8 + 13 + 4888*g - 7 + 2. 4888*g Collect the terms in -17306313*j**3 - 17329429*j**3 + 34635744*j**3. 2*j**3 Collect the terms in -123*y**3 + 235*y**3 + 14595*y**2 - 114*y**3. -2*y**3 + 14595*y**2 Collect the terms in -112 + 57612788*r - 52 + 5*r**2 - 57612788*r - 12. 5*r**2 - 176 Collect the terms in 3388*d - 1376*d + 1741*d + 226*d + 1355*d. 5334*d Collect the terms in 97 + 82 + 93 + 17 - z - 52. -z + 237 Collect the terms in -1608141*k + 1608110*k - 6*k**2 - 142 + 142. -6*k**2 - 31*k Collect the terms in -3387*c**3 + 6622*c**3 - 3233*c**3 - 20. 2*c**3 - 20 Collect the terms in -763*z**2 + 22*z - 17*z - 2075*z**2. -2838*z**2 + 5*z Collect the terms in 3*u**2 + 31249814 - 31249814. 3*u**2 Collect the terms in -142 + 19788*v**2 + 142 - 19786*v**2. 2*v**2 Collect the terms in -43980*o - 27*o**2 + 27*o**2 + 20*o**3 - 18*o**3. 2*o**3 - 43980*o Collect the terms in -50*b + 17*b**3 + 39*b**3 - 54*b + 69*b + 10*b**3. 66*b**3 - 35*b Collect the terms in 1448180*a + 34*a**2 - 1448180*a - 195*a**2. -161*a**2 Collect the terms in 1575*u**3 - 2862*u**3 + 5355*u**3. 4068*u**3 Collect the terms in 40*d + 0*d**3 + 2*d**3 + 44*d + 12*d - 96*d - d**3. d**3 Collect the terms in -25185481*w + 12592794*w + 12592702*w. 15*w Collect the terms in -1598*s**2 - 3225765 + 3225765. -1598*s**2 Collect the terms in 481*w + 502*w + 488*w - 2942*w + 487*w + 496*w + 486*w. -2*w Collect the terms in 94218988 - 7*q - 94218988 - 11*q + 11*q. -7*q Collect the terms in 87*f - 967*f + 880*f + 147*f**2. 147*f**2 Collect the terms in 346*x - 238*x - 2359 - 117*x. -9*x - 2359 Collect the terms in -23922*t + 42731*t - 18793*t. 16*t Collect the terms in -284158 + 4*c - 4*c + 283148 - 2*c - c**2 + 2*c. -c**2 - 1010 Collect the terms in -4 - 17 + 5 - 60977*j. -60977*j - 16 Collect the terms in 18425 - 18425 + 34982*h. 34982*h Collect the terms in 2*i**3 - 6*i**3 - 1417*i - 1284*i - 958*i + 996*i. -4*i**3 - 2663*i Collect the terms in -3831 + 7661 - 1084*k + 7706*k - 3830. 6622*k Collect the terms in -19*v + 2*v - 3952*v**3 + 7*v + 8*v. -3952*v**3 - 2*v Collect the terms in -3451562 + 3451561 + 4*q**3 - 3*q**3. q**3 - 1 Collect the terms in 115 - 3135*h - 3076*h + 6114*h. -97*h + 115 Collect the terms in -1 - 6 + 7 + 164864*j. 164864*j Collect the terms in -243*r - 18 - 233*r + 1 - 9 + 483*r. 7*r - 26 Collect the terms in 2*p**3 + 5*p**3 - 1338*p + 1298*p - 8*p**3. -p**3 - 40*p Collect the terms in 2 - 572619*m**2 - 4 + 2 + 573296*m**2. 677*m**2 Collect the terms in -6143*s - 3 + 4 + 28*s. -6115*s + 1 Collect the terms in 28 + 28 - 54*p - 128 - 86. -54*p - 158 Collect the terms in 35*x**3 + 51*x**3 - 156*x**3 + 56*x**3 + 24*x**3. 10*x**3 Collect the terms in -83*k**3 + 286*k**2 - 358*k**2 + 68*k**2. -83*k**3 - 4*k**2 Collect the terms in 3*v**3 - 5 + 463040*v**2 - 154342*v**2 - 154350*v**2 - 154348*v**2. 3*v**3 - 5 Collect the terms in -957*k**3 + 599*k**3 + 4 - 5 + 1. -358*k**3 Collect the terms in 215*w**3 + 254*w**3 + 1 + 200*w**3 - 655*w**3. 14*w**3 + 1 Collect the terms in 337*i**2 + 367*i**2 + 770*i**2 - 220*i**2. 1254*i**2 Collect the terms in 65331588986*j**2 - 7*j**3 - 65331588986*j**2. -7*j**3
Let h(m) = 3*m + 4. Let b(t) = 3620*t**2 - 2. Calculate b(h(s)). 32580*s**2 + 86880*s + 57918 Let d(o) be the third derivative of o**5/12 + 194*o**2. Let j(x) = 2 - 2 + 0 + 6*x**2. Let b(v) = 6*d(v) - 4*j(v). Let u(p) = -5*p**2. Give u(b(t)). -180*t**4 Let j(g) = 5*g + 1088. Let z(h) = 271*h. Calculate z(j(u)). 1355*u + 294848 Let k(g) = -7*g**2 + 4*g + 4. Let d(t) = -t + 2*t + 2*t - 244*t**2 + 3 + 238*t**2. Let r(i) = 4*d(i) - 3*k(i). Let c(u) = -7*u**2 + 2*u. Give r(c(m)). -147*m**4 + 84*m**3 - 12*m**2 Let s(k) be the second derivative of -8*k + 0*k**2 + 0 - 1/6*k**4 + 0*k**3. Let t(n) be the third derivative of -11*n**5/60 - 20*n**2. Calculate t(s(f)). -44*f**4 Let b(d) = -392533100 + 392533100 - 10*d**2. Let o(p) = -1110*p**2. Give o(b(g)). -111000*g**4 Let o(v) = -15. Let f(i) = 5*i + 3. Let t(n) = -5*f(n) - o(n). Let z(u) = 33*u. Determine t(z(j)). -825*j Let s(c) = -740 - 342*c - 732 + 1472. Let d(v) = -2*v. What is d(s(h))? 684*h Let x(z) = z**2. Let c(i) be the first derivative of 2826*i**3 + 5156. Determine c(x(q)). 8478*q**4 Let p(z) = -1173*z. Let a(t) be the third derivative of -t**4/4 - 4*t**2 + 3*t - 23. What is p(a(n))? 7038*n Let f(v) be the first derivative of 2*v**2 - 234. Let k = 13 - 8. Let h(s) = 5*s + k*s - 3*s. What is f(h(y))? 28*y Let c(i) be the second derivative of 14*i**3/3 - 48*i + 43. Let k(z) = -2*z + 35. Calculate c(k(p)). -56*p + 980 Let j(l) = -33*l. Let i be (20/12)/((-20)/24) + 4. Let q(g) = -125 + 125 + 11*g**2 - 5*g**i. Calculate j(q(w)). -198*w**2 Let q(z) = -6893*z**2 + 56*z + 7. Let w(n) = n. Give w(q(r)). -6893*r**2 + 56*r + 7 Let s(t) be the first derivative of -t**5/60 - 5*t**3/3 + t**2 - 70. Let v(f) be the third derivative of s(f). Let d(z) = 5*z**2 + 2*z. Determine v(d(k)). -10*k**2 - 4*k Let j(y) = 318*y. Let w(p) = 3008*p**2 - 1503*p**2 - 1506*p**2. Determine j(w(a)). -318*a**2 Let a(j) be the third derivative of -j**4/12 - 206*j**2 + 5. Let b(h) = -12682*h**2. Calculate a(b(g)). 25364*g**2 Let h(m) = 78*m**2 + 108*m - 27. Let b(c) = -14*c**2 - 20*c + 5. Let p(x) = -27*b(x) - 5*h(x). Let f(n) = 252*n**2. Give f(p(i)). 36288*i**4 Let h(w) = -365*w. Let t(k) = 271*k. Let z(f) = -3*h(f) - 4*t(f). Let u(i) = 16*i. Calculate u(z(c)). 176*c Let m(l) = 3*l - 231. Let o(f) = 5*f**2 - 17544*f - 2. Determine o(m(w)). 45*w**2 - 59562*w + 4319467 Let n(h) = -2*h - 1046. Let x(v) = -4427*v. Determine n(x(p)). 8854*p - 1046 Let p = 270 + -116. Let t(s) = -16 - 42*s + p*s + 20 - 4. Let r(y) = y. Calculate r(t(f)). 112*f Let w(i) = i**2 - i - 6. Let y(h) = -532*h**2 - 3*h - 12. Let o(z) = -2*w(z) + y(z). Let c(j) = 3*j. What is c(o(f))? -1602*f**2 - 3*f Let q(r) = -1782756*r**2 + 2*r + 1. Let s(f) = -2*f. Determine q(s(a)). -7131024*a**2 - 4*a + 1 Let j(t) = 2*t. Let f(a) = 32 - 3*a + 8*a + 23 + 90 + 171. Give f(j(c)). 10*c + 316 Let z(m) = -1136*m + 2210*m - 1075*m. Let i(w) = 2406*w**2. What is z(i(c))? -2406*c**2 Let a(y) = -367*y + 23. Let h(v) = 64*v - 4. Let k(c) = -8*a(c) - 46*h(c). Suppose -j - 3*j + 8 = 0. Let m(u) = 5*u**2 - 4*u**j - 3*u**2. Give m(k(d)). -128*d**2 Let j(d) = -62*d + 189254. Let l(v) = -3*v**2. What is j(l(c))? 186*c**2 + 189254 Let m(w) be the third derivative of -11*w**4/24 - 2*w**2 - 607*w. Let v(a) = 915*a. Calculate m(v(d)). -10065*d Let z(v) = 8*v. Suppose 57*g - 60*g = -9. Let c(h) = -42*h. Let j(s) = g*c(s) + 16*z(s). Let r(i) = 152*i. Calculate j(r(d)). 304*d Suppose -40 = -0*c - 4*c. Let o(h) = c + 4*h - 4 - 6. Let s(t) = 6*t**2 - 8*t**2 + 2*t**2 + 4*t**2. What is s(o(a))? 64*a**2 Let d(w) = 24065*w. Let h(j) = j**2 - j - 209. Determine h(d(l)). 579124225*l**2 - 24065*l - 209 Let x(u) = 5*u**2 + 3*u - 6. Let p(f) = 7*f**2 + 4*f - 8. Let h(t) = 3*p(t) - 4*x(t). Let r = -37 - -45. Let l(a) = -r*a - 2*a + 6*a. Give h(l(d)). 16*d**2 Let a(x) = -3*x. Suppose 297*p - 298*p + 20 = 0. Let h(q) = 6770*q + p*q**2 - 6770*q. Calculate a(h(s)). -60*s**2 Let d(l) = 4*l. Let f(u) = -17*u - 51. Let w be f(-5). Let h(v) = v**2 + 153 - 153 - w*v. Determine h(d(i)). 16*i**2 - 136*i Let m = -130 + 132. Let d(g) = -4 - 233*g**m + 47 + 234*g**2. Let v(l) = -l**2. Determine v(d(s)). -s**4 - 86*s**2 - 1849 Let j(o) = o + 145. Let g(y) be the third derivative of y**5/60 - 1271*y**2. Give g(j(u)). u**2 + 290*u + 21025 Let t(h) = 255*h**2 - 7*h - 5. Let d be t(4). Let f(r) = d - 4047 + 3*r**2. Let v(a) = 10*a**2. What is v(f(y))? 90*y**4 Let q(x) be the first derivative of x**5/40 + 12*x**3 - 14. Let r(i) be the third derivative of q(i). Let f(b) = -3*b + 3 + 2 - 5. What is r(f(u))? -9*u Let c(j) be the third derivative of 0*j - 3*j**2 - 1/12*j**4 + 4 + 0*j**3. Let g(y) be the third derivative of -13*y**4/24 + y**2. Determine c(g(b)). 26*b Let b be ((-14)/(-35))/(2/35). Let l(y) = -b*y + 4*y + 5*y. Let f(t) = 38 - 38 + 9*t. What is l(f(r))? 18*r Suppose 3*p - 208 = -23*p. Let i(w) = -357 + 357 + p*w - 25*w. Let z(a) = -a. What is i(z(x))? 17*x Let w(r) be the first derivative of -209*r**3/3 - 827. Let k(y) = -7*y. Give w(k(d)). -10241*d**2 Let j(u) = 18*u**2. Let i(k) = 148144*k + 5122. Let d(o) = 347*o + 12. Let l(s) = 2561*d(s) - 6*i(s). Determine j(l(c)). 698562*c**2 Let k(j) = -647676022*j**2. Let a(y) = -2*y. Determine a(k(n)). 1295352044*n**2 Let h(v) = 18 + 5*v - 16 - 2 + 0*v. Let j = -21 - -32. Let d(t) = j - 2 - 9 - 3*t**2. Determine d(h(b)). -75*b**2 Suppose -24*j = -28*j - 20. Let n(y) = y**2 - 25*y - 5. Let x(t) = 3*t**2 - 45*t - 9. Let l(o) = j*x(o) + 9*n(o). Let d(s) = 12*s. What is l(d(w))? -864*w**2 Let u(s) be the third derivative of -7*s**4/24 + 4578*s**2. Let h(a) = -60*a. Let y(z) = -4*z. Let l(x) = 6*h(x) - 88*y(x). Determine l(u(w)). 56*w Let i(m) = 33*m + 22*m + 64*m - 115*m. Let g(y) = -1177*y + 2. Give g(i(a)). -4708*a + 2 Let t(q) = q**2 - 4242172*q + 4242172*q. Let v(n) = 9446*n. What is v(t(u))? 9446*u**2 Let i(x) = 3 - 3 - 3*x. Let v(d) be the second derivative of -2*d**3 + 4031*d. Calculate i(v(t)). 36*t Let v(o) be the first derivative of 0*o + 10*o**2 + 1/3*o**3 + 39. Let c(i) = i. Determine v(c(z)). z**2 + 20*z Let j(r) = 33*r + 64. Let a be j(12). Let s(q) = a*q - 460*q - 3*q**2. Let l(c) = -c - 3 - 9*c + 3. Calculate l(s(n)). 30*n**2 Let j(c) = 13573*c. Let t(q) = -2043*q**2. What is t(j(v))? -376374390147*v**2 Let b(t) = 3*t. Let s(k) = 156523*k - 17. Determine s(b(n)). 469569*n - 17 Let q(r) = -21096*r. Let m(y) = -784*y. Determine m(q(t)). 16539264*t Let u(p) = -66*p - 24. Let o(g) = -13*g - 5. Let q(j) = -24*o(j) + 5*u(j). Let k(w) = 36*w + 3*w**2 + 37*w - 73*w. Determine k(q(r)). 972*r**2 Suppose -52*c + 158 + 74 = 6*c. Let i(g) be the third derivative of 0*g**c + 0*g + 0*g**3 - 13*g**2 + 0 + 1/20*g**5. Let j(d) = -5*d**2. What is i(j(y))? 75*y**4 Let w(d) = 2*d. Let v be (9898/(-168) - 2/6)*-4. Let n(x) = -2*x**2 - v + 4*x**2 + 249. Determine n(w(q)). 8*q**2 + 12 Let x(v) = 1 - v - 9 - 17. Let g(k) be the second derivative of k**4/12 + 8*k - 3. What is g(x(n))? n**2 + 50*n + 625 Let o(p) be the first derivative of -35*p + 104 + 79*p - 3*p**2 - 44*p. Let t(s) = -30*s. Give t(o(v)). 180*v Let c(u) = 859*u. Let o(t) = 33325*t**2. Calculate c(o(d)). 28626175*d**2 Let z(q) = 3417051*q. Let p(l) = -64*l - 3. Calculate p(z(u)). -218691264*u - 3 Let p(s) be the first derivative of 823*s**3 - 310. Let t(i) = -9*i**2. Determine t(p(f)). -54863649*f**4 Let g(f) be the second derivative of 10*f**3/3 + 7111*f. Let y(i) = 98*i. Determine y(g(w)). 1960*w Let l(u) = 9*u**2 + 2*u + 99. Let z(q) = 186*q - 11. Determine z(l(d)). 1674*d**2 + 372*d + 18403 Let s(n) = -63*n - 35. Let f(o) = -2457*o + 2. What is f(s(x))? 154791*x + 85997 Let f(z) be the third derivative of 1/24*z**4 + 0*z**3 + 19*z**2 + 0 - 2*z. Let u(p) = -p**2 - 60*p. Give u(f(r)). -r**2 - 60*r Let u(p) be the second derivative of -102*p**3 - 3*p**2/2 + 2*p + 3973. Let c(d) = -d. Calculate u(c(y)). 612*y - 3 Let p(s) = 3492*s. Let a(t) = 3824*t. Give p(a(r)). 13353408*r Let r(m) = -4*m. Let q(v) = 6997*v - 13593*v + 6888*v. What is q(r(w))? -1168*w Suppose -688 = -7*j - 660. Let q(c) be the second derivative of 0*c**2 + 0*c**3 - 11/6*c**j + 17*c + 0. Let u(b) = -2*b**2. Calculate u(q(h)). -968*h**4 Let r(s) = -23*s. Let p(k) = 218*k + 8 - 6 - 224*k. Give p(r(j)). 138*j + 2 Let w(s) = -4*s - 8. Let t(v) = -2072531*v**2. What is w(t(n))? 8290124*n**2 - 8 Let v be -5 + 7 + -3 + 4. Let g(w) be the first derivative of -28 - 10 - 4*w**v + w**3 + 4*w**3. Let f(y) = 6*y. Calculate f(g(d)). 18*d**2
Calculate prob of sequence xpx when three letters picked without replacement from {p: 4, x: 3}. 4/35 Calculate prob of sequence gm when two letters picked without replacement from mgewggbwmbmjb. 3/52 What is prob of sequence ghf when three letters picked without replacement from hfqgb? 1/60 What is prob of sequence xxxk when four letters picked without replacement from {x: 7, b: 2, k: 3}? 7/132 Two letters picked without replacement from {k: 2, g: 2, v: 2, u: 4, j: 4}. What is prob of sequence kk? 1/91 What is prob of sequence sel when three letters picked without replacement from sleskts? 1/70 Two letters picked without replacement from ymyzmawymbymmbb. What is prob of sequence ay? 2/105 Two letters picked without replacement from apapuahaaanuaphpuap. What is prob of sequence pu? 5/114 Four letters picked without replacement from {n: 2, p: 6}. Give prob of sequence nppp. 1/7 Calculate prob of sequence jjrj when four letters picked without replacement from rjjrrrjjjjjr. 35/396 Four letters picked without replacement from {p: 7, j: 7}. Give prob of sequence jppj. 21/286 Calculate prob of sequence ma when two letters picked without replacement from {a: 1, m: 2, j: 4}. 1/21 Calculate prob of sequence pppp when four letters picked without replacement from {y: 2, p: 5}. 1/7 Two letters picked without replacement from {w: 2, v: 2, z: 4, h: 1, t: 1, f: 7}. Give prob of sequence tf. 7/272 Four letters picked without replacement from {v: 8, y: 2, e: 2, k: 2}. Give prob of sequence vekk. 4/3003 What is prob of sequence gig when three letters picked without replacement from giiiigiiiigggi? 15/182 Three letters picked without replacement from iiiieqiiliqieerii. Give prob of sequence eie. 1/68 What is prob of sequence zzrz when four letters picked without replacement from zzzrrzfzf? 5/126 Three letters picked without replacement from zxzxxrzzzzxzzzrz. What is prob of sequence zxr? 1/42 What is prob of sequence hlk when three letters picked without replacement from {h: 4, s: 5, l: 1, x: 1, m: 1, k: 3}? 2/455 Four letters picked without replacement from {r: 2, d: 2, e: 1}. Give prob of sequence ddre. 1/30 Three letters picked without replacement from {x: 3, b: 4}. What is prob of sequence xbb? 6/35 Calculate prob of sequence udu when three letters picked without replacement from deuvyru. 1/105 What is prob of sequence gylv when four letters picked without replacement from llvyyvvlvlvvvvgv? 3/1820 What is prob of sequence ruu when three letters picked without replacement from {m: 1, v: 3, u: 5, o: 6, r: 5}? 5/342 What is prob of sequence fi when two letters picked without replacement from {i: 1, n: 2, f: 3, t: 1}? 1/14 Calculate prob of sequence wk when two letters picked without replacement from {r: 2, k: 2, a: 1, i: 1, w: 1}. 1/21 Three letters picked without replacement from {g: 11, c: 2}. What is prob of sequence gcg? 5/39 Four letters picked without replacement from {c: 3, t: 2, d: 1, f: 2, b: 7, h: 5}. What is prob of sequence cdcc? 1/19380 Calculate prob of sequence kbf when three letters picked without replacement from iyrkyrrfyrbiffkk. 3/1120 Four letters picked without replacement from {z: 2, r: 1, s: 1, g: 5, q: 3}. Give prob of sequence zgsq. 1/396 Three letters picked without replacement from fefeerefeereeerlre. What is prob of sequence lrf? 1/408 Four letters picked without replacement from {c: 2, q: 4, b: 4, y: 2, m: 2, s: 5}. Give prob of sequence mysb. 5/5814 Two letters picked without replacement from {o: 2, q: 1, w: 6, m: 2, i: 1}. What is prob of sequence oq? 1/66 Calculate prob of sequence ux when two letters picked without replacement from xpxxxppuxpx. 3/55 Calculate prob of sequence ooq when three letters picked without replacement from lllqllqolqllqqoooo. 25/1224 Three letters picked without replacement from pyhuj. Give prob of sequence juy. 1/60 Four letters picked without replacement from cyiciricwrby. What is prob of sequence ciry? 1/330 Four letters picked without replacement from {a: 14, s: 4}. Give prob of sequence ssss. 1/3060 What is prob of sequence wd when two letters picked without replacement from {e: 2, d: 4, h: 4, w: 1}? 2/55 Three letters picked without replacement from lmmmmlm. Give prob of sequence mmm. 2/7 Calculate prob of sequence vr when two letters picked without replacement from rxlvrrrcrir. 3/55 Four letters picked without replacement from {o: 7, u: 5}. Give prob of sequence oooo. 7/99 Calculate prob of sequence dd when two letters picked without replacement from {d: 2, j: 1, f: 1, z: 1, g: 1, p: 1}. 1/21 Calculate prob of sequence qqs when three letters picked without replacement from {n: 3, z: 1, s: 6, q: 4}. 3/91 Three letters picked without replacement from {i: 3, w: 2}. What is prob of sequence iww? 1/10 Three letters picked without replacement from {n: 4, z: 1, h: 3}. What is prob of sequence hnz? 1/28 Four letters picked without replacement from vkkkvkkjvejjkaaeke. Give prob of sequence kkek. 7/816 Two letters picked without replacement from ergggrfrfifiggg. What is prob of sequence ir? 1/35 Three letters picked without replacement from {n: 9, u: 4, p: 2, a: 4}. What is prob of sequence ana? 6/323 Four letters picked without replacement from {w: 4, p: 1, a: 1, z: 2}. What is prob of sequence pppa? 0 Two letters picked without replacement from {c: 1, w: 1, v: 2, b: 2}. What is prob of sequence vw? 1/15 Four letters picked without replacement from {o: 2, c: 9, p: 2, q: 5}. Give prob of sequence pqpc. 1/816 Calculate prob of sequence qq when two letters picked without replacement from {l: 7, q: 11, x: 2}. 11/38 Calculate prob of sequence dqdq when four letters picked without replacement from ddqcqqqcqdd. 1/33 Three letters picked without replacement from rrrtrtggqqrrtutr. What is prob of sequence qut? 1/420 Two letters picked without replacement from {r: 1, p: 1, h: 2, d: 1, z: 1, k: 1}. What is prob of sequence kr? 1/42 Calculate prob of sequence dd when two letters picked without replacement from uuduududuuudud. 10/91 Three letters picked without replacement from {c: 5, l: 3}. Give prob of sequence cll. 5/56 Two letters picked without replacement from {a: 1, w: 2, l: 6, j: 1, z: 2}. What is prob of sequence ja? 1/132 Three letters picked without replacement from vttttttt. What is prob of sequence tvt? 1/8 Two letters picked without replacement from {e: 7}. What is prob of sequence ee? 1 Four letters picked without replacement from {l: 6}. Give prob of sequence llll. 1 Calculate prob of sequence qvq when three letters picked without replacement from txvvvaqtqaqqxk. 3/182 Three letters picked without replacement from azaazaaaazaa. What is prob of sequence zaz? 9/220 What is prob of sequence yy when two letters picked without replacement from {y: 2, u: 9, e: 8}? 1/171 What is prob of sequence ie when two letters picked without replacement from {e: 8, p: 3, z: 7, i: 2}? 4/95 Four letters picked without replacement from qrlqcqeq. What is prob of sequence ecce? 0 Two letters picked without replacement from jfkwjvd. What is prob of sequence jf? 1/21 Calculate prob of sequence dde when three letters picked without replacement from {d: 5, e: 2}. 4/21 Four letters picked without replacement from yyrykkyyyyikyy. Give prob of sequence ryky. 9/1001 Calculate prob of sequence hee when three letters picked without replacement from jthjuujejujhehjt. 1/560 Three letters picked without replacement from daddddadddad. Give prob of sequence add. 9/55 Two letters picked without replacement from rdrkrkrrdkrrrdkr. Give prob of sequence rk. 3/20 Calculate prob of sequence ik when two letters picked without replacement from rfmikgik. 1/14 Calculate prob of sequence fs when two letters picked without replacement from {h: 2, q: 1, s: 4, f: 3, p: 9}. 2/57 What is prob of sequence dv when two letters picked without replacement from ebebdvnedbbv? 1/33 Three letters picked without replacement from {x: 3, d: 3, z: 1}. Give prob of sequence xdd. 3/35 What is prob of sequence tlwv when four letters picked without replacement from {v: 1, l: 3, w: 3, d: 3, t: 1}? 1/880 Three letters picked without replacement from {y: 2, t: 3}. Give prob of sequence ttt. 1/10 Calculate prob of sequence nvev when four letters picked without replacement from nnvegnevvvvvevhheh. 7/1020 Calculate prob of sequence ua when two letters picked without replacement from {u: 3, a: 1}. 1/4 Three letters picked without replacement from {l: 6}. Give prob of sequence lll. 1
Let z(v) be the third derivative of -v**6/60 - v**5/20 + v**4/8 + v**3/2 - 2*v**2. Let o(f) = 6*f**3 + 8*f**2 - 8*f - 8. Give -3*o(s) - 8*z(s). -2*s**3 Let f(o) = -3*o + 8. Let n be f(-9). Let z be (5/3)/(n/126). Let t(a) = 3*a**3 - 6*a**2 + 17*a. Let m(j) = -j**3 + 2*j**2 - 6*j. Determine z*t(x) + 17*m(x). x**3 - 2*x**2 Let p(k) = 18*k**3 + 7. Let o(s) = -35*s**3 - 13. What is 6*o(u) + 11*p(u)? -12*u**3 - 1 Let j(m) = -2*m**3 + 2*m**2 - 2. Let l(v) = 2*v**3 - 3*v**2 + 3. Suppose 4*s - 5*g = 7, 2*s - 3*g - 6 = -s. Give s*j(c) + 2*l(c). -2*c**3 Let u(f) = -f**2 + f + 1. Let x(r) = 6*r**2 + 4*r + 4. What is 4*u(l) - x(l)? -10*l**2 Let r(o) be the second derivative of o**4/6 - 2*o**3/3 - o. Let t = -5 + 7. Let a(b) = -4*b**2 + 0*b**t + 5*b**2 - 2*b. What is 5*a(j) - 3*r(j)? -j**2 + 2*j Let u(c) = c**2 + c - 1. Let f(b) be the third derivative of -b**5/20 - b**4/12 + b**3/2 - 2*b**2. Let w = -7 - -8. Calculate w*f(h) + 2*u(h). -h**2 + 1 Let y(o) = 2*o + 14. Suppose 0 = -2*d + 15 + 1. Suppose -4*m + 0 = -12. Let k(v) = -5 + m*v - v - 3*v. Determine d*k(g) + 3*y(g). -2*g + 2 Let q(p) = 4*p**3 + p**2 - 2*p. Suppose -4*c + 15 = c. Let h(f) = -f**3 + 2 + f - 2*f**3 + 2*f**3 - c. Calculate 2*h(n) + q(n). 2*n**3 + n**2 - 2 Let u(s) = -s**3 + 4*s**2 + 3*s. Let c(p) = -3*p**3 + 11*p**2 + 8*p. Determine -3*c(d) + 8*u(d). d**3 - d**2 Let j(o) = o**2. Let n(x) = -38*x**3 - 9*x**2 - 1. Determine 18*j(k) + 2*n(k). -76*k**3 - 2 Let x(h) be the first derivative of -3*h**4/2 + 5*h**3 + 1. Let o(t) = t**3 - 2*t**2. Give 15*o(f) + 2*x(f). 3*f**3 Let i(b) = -3*b**3 + 3*b + 6*b**2 - 22 + 3*b + 28. Let k(p) = -2*p**3 + 5*p**2 + 5*p + 5. Determine 5*i(z) - 6*k(z). -3*z**3 Let x(i) = -14*i**3 + 14*i**2 + 12*i - 8. Let q(w) = 5*w**3 - 5*w**2 - 4*w + 3. Give 8*q(j) + 3*x(j). -2*j**3 + 2*j**2 + 4*j Let w(z) = z + 4. Suppose -3*n + 6 = 3*y, -y + 5*y = -5*n + 6. Let o(i) = 3. Calculate y*o(a) - 3*w(a). -3*a Let u(j) = j**2. Let s(y) = -17*y**2 + 2*y + 2. Calculate -s(l) + 2*u(l). 19*l**2 - 2*l - 2 Suppose 0 = 4*k + 5*j - 6, 4*j - 7 = 5*k + 6. Let l(d) = -1. Let t(g) = g - 5. What is k*t(x) + 6*l(x)? -x - 1 Let d(s) = -s. Let a(u) = 2*u**2 + 2*u - 6. Let n be a(1). Let x(q) = 2 - 2 - 3*q + 2. Determine n*d(y) + x(y). -y + 2 Let o(g) = -2*g**2 - g - 5. Let j(k) = -k**2 - 1. Calculate 3*j(p) - o(p). -p**2 + p + 2 Let j be -1*(-4)/(3 + 1)*-5. Let l(q) = -4*q**2 + 4. Let b(a) = -4*a**2 + 5. What is j*l(f) + 4*b(f)? 4*f**2 Let c(u) = 3*u + 2. Suppose 18 = -3*y + 5*g, 0 = -y - 0*y + 3*g - 10. Let a(b) = -1. Determine y*c(l) - 4*a(l). -3*l + 2 Let x(i) = -i. Let b(v) = v**2 + 5*v. Suppose 5*t - 20 = 0, 3*t + 2*t + 5 = 5*a. What is a*x(h) + b(h)? h**2 Let y(q) = 9 + 11*q**2 - 6*q + 21*q + 4*q**2. Let n(i) be the third derivative of -2*i**5/15 - i**4/3 - 5*i**3/6 - 11*i**2. Give -11*n(s) - 6*y(s). -2*s**2 - 2*s + 1 Let l(s) = -9*s + 17. Let f(o) = 14*o - 25. Give 5*f(x) + 8*l(x). -2*x + 11 Let f = -4 - -2. Let n be (0/(-1) - -2)/f. Let m be (-8)/((-2)/(-1)) - n. Let x(t) = 2*t**2 + t + 3. Let i(s) = s**2 + s + 2. Give m*i(d) + 2*x(d). d**2 - d Let p(n) = 3*n**2 + 2*n + 4. Let z(a) = 6*a**2 + 5*a + 8. Determine 5*p(b) - 2*z(b). 3*b**2 + 4 Let p(k) = -k. Let f(g) be the first derivative of g**2/2 + g - 1. Give -2*f(w) - p(w). -w - 2 Let i(u) = -5*u**3 + 2*u**2 + 4*u + 5. Let a(n) = 12*n - n + 0*n + 14 + 5*n**2 - 14*n**3. Calculate 4*a(l) - 11*i(l). -l**3 - 2*l**2 + 1 Let a(p) = -p**3 - 9*p**2 - 8*p + 4. Let i(s) = -2*s**2 - 2*s + 1. Determine -2*a(z) + 9*i(z). 2*z**3 - 2*z + 1 Let y(o) = o - 1. Let l(d) = 18*d - 12. What is l(p) - 12*y(p)? 6*p Let r(p) = 5*p - 2. Let v(s) = -s. Let b be (-18)/27 + (-5)/(-3). Calculate b*r(w) + 2*v(w). 3*w - 2 Let t(k) be the third derivative of -k**4/24 - k**3/6 + 6*k**2. Let d(i) = 3*i + 3. Calculate -d(g) - 2*t(g). -g - 1 Let p(r) = -2*r**3 - 6*r**2 - 17*r - 17. Let d(u) = -u**3 - 2*u**2 - 6*u - 6. Determine -17*d(t) + 6*p(t). 5*t**3 - 2*t**2 Let r(x) = -x**2 - 1. Let o(t) = 3*t**2 - t + 5. What is -o(w) - 4*r(w)? w**2 + w - 1 Let s(w) = -7*w + 2. Let d(p) = -4*p + 1. Determine 10*d(n) - 6*s(n). 2*n - 2 Let d(f) = -f**2. Let w(t) = -8*t**2 + 3. What is d(b) + w(b)? -9*b**2 + 3 Let b(p) = -4*p**2 + 6*p - 2. Let q(n) = -n**2. What is -b(g) + 6*q(g)? -2*g**2 - 6*g + 2 Let b be 0 + 2 + -15 + 4. Let s(r) be the second derivative of -r**4/12 + r**3/3 + r**2/2 + 4*r. Let v(f) = 4*f**2 - 8*f - 5. Give b*s(u) - 2*v(u). u**2 - 2*u + 1 Let f(p) = p - 1. Let a(l) = 3. Determine -a(v) + f(v). v - 4 Let h(a) be the third derivative of -a**6/60 - a**5/30 + a**4/12 + a**3/6 + 14*a**2. Let b(w) = -4*w**3 - 5*w**2 + 5*w + 2. Calculate 2*b(g) - 5*h(g). 2*g**3 - 1 Let n(l) be the first derivative of -11*l**5/20 - 4*l**2 - l - 2. Let h(g) be the first derivative of n(g). Let m(k) = 7*k**3 + 5. Determine 5*h(r) + 8*m(r). r**3 Suppose -2*s = -2*m + 2, m - 4*m + 1 = -s. Suppose -4*o - 11 - 5 = m. Let y(w) = 4*w + 2. Let h(z) = 5*z + 2 - 1 + 1. Give o*y(c) + 3*h(c). -c - 2 Let l be (1/3)/(1/24). Let q = 12 - l. Let u(k) = -k**2 + 4*k + 4. Let v(i) = i**2 - i - 1. What is q*v(r) + u(r)? 3*r**2 Let j(k) = k**2 + 6*k + 2. Let m(g) = g + 4. Let y be m(-3). Let f = 1 + y. Let l(c) = 2*c**f + 8*c + 3 + 5*c - 1 + 2. Give -13*j(s) + 6*l(s). -s**2 - 2 Let o(g) be the third derivative of -g**5/10 - 7*g**4/24 + g**3/2 + 16*g**2. Let a(c) = 5*c**2 + 6*c - 2. Calculate -5*a(p) - 4*o(p). -p**2 - 2*p - 2 Let l(b) = b - 1. Let u = 5 - 2. Let a = -2 + u. Let f(z) = -3*z + 5. Let k = 9 + -5. Calculate a*f(q) + k*l(q). q + 1 Let m(q) = 3*q**2 - 2*q. Suppose x + 31 = 3*x - 3*a, 9 = -2*x - 5*a. Suppose -4*d + 4 = x. Let h(t) = -t**2 + t. Calculate d*m(v) - 2*h(v). -v**2 Let q(h) = h**2 - h. Let v(c) = -c - 2. Suppose -20 = 9*p - 38. Determine p*q(d) - 2*v(d). 2*d**2 + 4 Let g(t) = 7*t**2 - 5*t - 1. Let i(a) = -a. Determine -g(r) + 3*i(r). -7*r**2 + 2*r + 1 Let h(t) = -t**2 + t - 1. Let r(y) = y**2 - 2*y + 4. Let s(q) = q**2 + 12*q - 2. Let z be s(-12). Give z*r(o) - 4*h(o). 2*o**2 - 4 Let s(z) = 4*z**2 - z - 15. Let n(h) = -h**2. Calculate 3*n(u) + s(u). u**2 - u - 15 Let g(n) = n**3 + 9*n**2 - 11*n - 9. Let i be g(-10). Let d(o) = 2*o - 1. Let k(y) = -1. Let r(w) = -3. Let x(j) = -11*k(j) + 4*r(j). Determine i*d(v) + x(v). 2*v - 2 Let p(l) = -l + 1. Let y = -93 + 88. Let v(t) = t - 1. Calculate y*v(c) - 6*p(c). c - 1 Let k(x) be the first derivative of -6*x**2 + 12. Let s(r) = 3*r. Calculate 4*k(p) + 18*s(p). 6*p Let t(j) = 5*j**3 + 3*j**2 - 3*j - 28. Let z(v) = v**3 + v**2 - v - 1. What is -t(l) + 3*z(l)? -2*l**3 + 25 Let d(o) = -o**2 + 1. Let a be -6 + -37 - (-2)/1. Let x = a + 59. Let j(t) = 8*t**2 - 9. What is x*d(l) + 2*j(l)? -2*l**2 Let a(o) = 40*o - 2. Let x(r) = -r. What is -a(q) + 2*x(q)? -42*q + 2 Let n(q) be the first derivative of 5*q**2/2 - 9*q - 3. Let p(b) be the first derivative of b**2 - 4*b - 2. What is -3*n(g) + 7*p(g)? -g - 1 Let u be (10/(-6))/(11/99). Let f be ((-16)/12)/((-2)/u). Let d(j) = -12*j - 10. Let h(y) = y + 1. Calculate f*h(i) - d(i). 2*i Let f(z) = -5*z**2 + 1. Let v(t) = 26*t**2 - t - 5. What is -11*f(l) - 2*v(l)? 3*l**2 + 2*l - 1 Let b(r) = -r**3 - 3*r**2 + r + 2. Let v be b(-2). Let j(h) = h**3 + 6*h**2 + 2*h. Let s(k) = -5*k**2 - 2*k. What is v*s(p) - 3*j(p)? -3*p**3 + 2*p**2 + 2*p Let n(p) = p**2 + 5*p + 7. Let w(q) = q**2 + 3*q + 4. Calculate -6*n(s) + 10*w(s). 4*s**2 - 2 Let l(r) be the first derivative of -3*r - 4 - 1/2*r**2. Let s(n) = -2*n - 6. Determine 5*l(y) - 3*s(y). y + 3 Let u = 3 + -2. Let o(l) = -4*l. Let g(f) = -183*f + 90*f + 1 + 94*f. Give u*o(j) + 2*g(j). -2*j + 2 Let c(t) be the first derivative of 7*t**4/4 - 5*t**3/3 - 3*t**2/2 + 5*t - 3. Let q(w) = -8*w**3 + 6*w**2 + 4*w - 6. Determine 6*c(o) + 5*q(o). 2*o**3 + 2*o Let y(d) = d**3 + 2*d - 1. Let j(b) = 3*b**3 - b**2 + 5*b - 2. Suppose c - 1 = 4. Let h = 2 - 0. Suppose 0 = 3*l - 2*l + h. Determine c*y(i) + l*j(i). -i**3 + 2*i**2 - 1 Let v(c) = 2*c**2 + 35*c. Let x(n) = -n**3 + n**2 - n. What is v(w) - 2*x(w)? 2*w**3 + 37*w Let h(t) = -7*t**2 + 11. Let m(r) = r**2. Let f(o) = -h(o) - 6*m(o). Let w(l) = 5. Calculate 2*f(p) + 5*w(p). 2*p**2 + 3 Let z(s) = 7*s**3 + 7*s**2 - s - 7. Let x(i) = 7*i**3 + 6*i**2 - i - 6. Determine -7*x(l) + 6*z(l). -7*l**3 + l Let s(y) = -3*y**3 - 5*y**2. Let c = -10 - -16. Let k = -12 + c. Let v(x) = -4*x**3 - 6*x**2. What is k*s(q) + 5*v(q)? -2*q**3 Let y(t) = t + 1. Let r(w) = 125*w - 237*w + 117*w + 5. Determine r(v) - 3*y(v). 2*v + 2
Expand (1 - 2 - 6)*(-2 - 4 + 4)*(-7*p + 2*p + 2*p - p + 0*p - 28*p - p - 3*p + 2*p + (-2 + 3 + 1)*(0*p - 2*p + p) - 1 + 1 + p + 2*p - 2*p - p). -504*p Expand (3*t - 13*t - 12*t)*(t - 3*t + 32*t**2 - 33*t**2 - 4*t**3). 88*t**4 + 22*t**3 + 44*t**2 Expand (-2 + 2 - p)*(-280*p**2 + 100009*p - 50009*p - 50008*p)*(-2*p - 3 + 3). -560*p**4 - 16*p**3 Expand g**2 - 24126913*g - 3 + 24126913*g + 22*g**4 + 4*g**3 + (-2*g + 2 - 2)*(-3*g**2 - 2*g**3 + 3*g**2) + 1 + 3*g**4 - 1. 29*g**4 + 4*g**3 + g**2 - 3 Expand (-3 + 4 - 3)*(16 + 276 + 36)*(-35 - 3*p + 35 - 11*p**2). 7216*p**2 + 1968*p Expand ((-4*o + 2*o + 3*o)*(4 + 1 - 4)*(-2 + 5 - 4) - 4*o + o + o + 73 + 2*o - 73 + (o - 3*o + 5*o)*(4 + 3 + 1))*(1 + 2*o - 1). 46*o**2 Expand (-2*u**2 - u + u + (0*u**2 + 0*u**2 + 2*u**2)*(-14 - 3 + 1))*(-27 + 27 + 67*u + (3 - 3 - 2*u)*(-3 + 2 - 1)). -2414*u**3 Expand (4 - 5 + 0)*(-4*v + 3*v + 2*v)*(264 + 963 + 139). -1366*v Expand 2673*i + 2072*i - 648*i + (-4 + 7 - 2)*(4*i - 6*i + i)*(1 - 3 + 1) - i + 0*i - i. 4096*i Expand (-176 + 289 + 163)*(l + 2*l - l)*((2 + 0 - 3)*(-2 + 1 - 2) + 2 - 1 - 2 + (-1 + 1 - 2)*(5 - 1 - 2)). -1104*l Expand (4*z**2 - 8*z**2 + 56*z**2)*((3*z - 34 + 34)*(-4*z + 2*z - 2*z) + (-3*z**2 + 3*z**2 + 2*z**2)*(3 - 3 + 1)). -520*z**4 Expand (5 - 4 + 1)*(-36291 - 758*f + 36291)*(0 + 0 + 2)*(-4*f - f + 2*f). 9096*f**2 Expand (4*j - 22*j**2 + j - 4*j - j)*(13 - 11 - 62)*(6 - 5*j - 6). -6600*j**3 Expand -31*b**3 + 31*b**3 + 17*b**5 + (-3*b**2 + 6*b**2 - 5*b**2)*(8*b**3 + 12*b**3 - 13*b**3) - 2*b + 2*b + 2*b**5. 5*b**5 Expand -2*u**2 - 1 + 2 - 3 + u + (-7*u - 8*u + 4*u)*(0 - 2 + 0 + 14*u). -156*u**2 + 23*u - 2 Expand (-7*q - 32*q + 3*q)*(5*q - 2*q - q) + (-4 + 3 + 3)*(29 + 10*q**2 - 29). -52*q**2 Expand (-5 + 4*r + 5)*(-4 + 2 - 2)*(48*r + 236 - 236)*(6 - 6 - 3*r). 2304*r**3 Expand (-x + 0*x + 3*x)*((-2 - 5 + 2)*(-1 - 6 + 0) + 1 + 4 + 12). 104*x Expand (-p**2 + 0*p**2 - 4*p**2)*(-9*p + 9*p + p**2) + (11*p + 29 - 29)*(3*p**3 + 2*p**3 - 4*p**3). 6*p**4 Expand (p - 3 + 3)*(-1 + 3 - 1)*(3 + 3 - 5)*(-22 + 6*p - 142*p + 13). -136*p**2 - 9*p Expand (-762 - 3906 - 1342)*(-3*l + 3*l - l + (-3 + 4 + 2)*(-3*l + 3*l + 1 - 2*l)). 42070*l - 18030 Expand 2*k**4 + 0*k**4 - 4*k**4 + (0*k - 2*k + 0*k)*(2758*k**3 + 859*k**3 + 841*k**3). -8918*k**4 Expand (7*t**2 - 32 - 2520*t + 2520*t)*(0*t + t + 2*t)*(-6 + 7 - 3). -42*t**3 + 192*t Expand (1 - 1 + q)*(2 + 4 - 2) + (-21 - 24 + 11)*(3*q + 0*q - 2*q) - 7*q + 20*q + 23*q. 6*q Expand -4*q**5 - 7*q**2 + 7*q**2 - 226*q - 68*q**5 + 226*q + (-q - 2*q + q)*(-3*q**4 + 6*q**4 + 0*q**4). -78*q**5 Expand (-77*i**2 + 8010*i - 8010*i + (0 + 0 - 2)*(-2*i**2 - i**2 + 5*i**2))*(-3 + 0 + 5)*(-2*i + 8*i - i). -810*i**3 Expand c**2 - 7*c**2 - c**2 + (c - c - c)*(41*c - 68*c - 43*c). 63*c**2 Expand (-33*i + 8*i + 4*i)*(4 - 201 + 2). 4095*i Expand (-1311 - 2076 + 2633)*(-3*q**4 + 0*q**4 + 0*q**4). 2262*q**4 Expand (-9864*s - 147*s**3 + 9864*s)*(4 - 3 - 2 + (2 + 5 - 5)*(-4 + 1 + 2) + 1 + 0 - 3)*(-2*s + 19 + 0*s - 9 + (-5 + 1 + 5)*(0*s + s - 2*s)). -2205*s**4 + 7350*s**3 Expand (-18 + 18 + 2*o)*(-2*o**3 - o**3 + 2*o**3) + (77*o - 28*o + 61*o)*(19 + 7*o**3 - 19). 768*o**4 Expand (2 - 1 + 5)*(-14*l + 0*l - 46*l)*(3*l - 6*l + 4*l). -360*l**2 Expand (1044*b**4 + 1047*b**4 - 157*b**4 + (2 - 2*b**2 - 2)*(b**2 + 2*b**2 - 4*b**2))*(3*b - 2*b - 3*b). -3872*b**5 Expand (-2*n - 4 + 4)*(32*n + 4*n**3 - 32*n + (120*n**2 + 54*n**2 + 106*n**2)*(n - n + n)). -568*n**4 Expand (o**2 - 2*o**2 + 4*o**2)*(14*o**3 - 30*o**3 - 2*o**2 - 5*o**2 + 2). -48*o**5 - 21*o**4 + 6*o**2 Expand -65*u**2 - 29*u**2 - 150*u**2 + (2*u + u - u)*(0 + 0 - 2*u) - 13*u**2 - 13*u**2 + 6*u**2. -268*u**2 Expand (2*r**4 - r**4 + 0*r**4)*(-1 + 1 - 1) - r**4 + 19679*r + 19679*r + 139*r**2 - 39362*r. -2*r**4 + 139*r**2 - 4*r Expand (-17 + 11*l**4 + 17)*(16 - 117 - 60). -1771*l**4 Expand (-16*x**4 + 2*x**4 - 3*x**4)*(-14*x - 45 + 16*x + 13) + (0*x + 0*x + x**2)*(x**3 - x + x). -33*x**5 + 544*x**4 Expand (-43 + 23 + 11 + 5*x)*(-4*x**3 - 3 + 3). -20*x**4 + 36*x**3 Expand 613*q**3 + 1264*q**3 - 2721*q**3 + (0*q - 4*q + 0*q)*(-1 - 5 + 3)*(2*q**2 - q + q). -820*q**3 Expand ((4 - 1 - 1)*(2 - 2*b - 2)*(-11 + 5 - 6) + 3 - 2*b - 3)*((-2 - 6 + 4)*(38*b + 3295 - 3295) - 2 + 2 + 3*b). -6854*b**2 Expand (-2 - 2*d**2 + 2)*(40*d**2 + 25*d**2 + 51*d**2 - 126*d**2 + 261*d**3). -522*d**5 + 20*d**4 Expand (-3 - 9*c - 5 - 2 + 4)*((3*c**3 + 0*c**3 - 5*c**3)*(2 + 1 - 1) + 147*c**3 - 145*c**3 - 133*c**3). 1215*c**4 + 810*c**3 Expand (-198 + 3625 + 5094)*(2*z**3 + z**3 - 5*z**3). -17042*z**3 Expand (15*f**3 + 118*f**2 - 118*f**2)*(-3*f**2 + 2*f**2 - 13*f**2 - f**2 + 4*f**2 - 2*f**2 + (2*f**2 - 4*f**2 + 4*f**2)*(3 + 2 - 3) - 2*f + 2*f**2 + 2*f). -105*f**5 Expand 10*a**2 - 103*a + 13127456 - 8*a**2 - 13127451 + (5 - 5 - a**2)*(4 - 1 - 2). a**2 - 103*a + 5 Expand 3*w + 3*w - 4*w + (-5*w + 2*w + 2*w)*(1 + 1 - 4) + 96*w - 38*w - 43*w + w + 846 - 846 + (4 - 2 + 0)*(4*w - 3*w - 2*w). 18*w Expand ((1 + 7 - 5)*(3 - 4 + 3) + 12 - 40 + 2 - 6 + 4 + 3)*(4 + r - 4). -19*r Expand (5 + n**2 - 5)*(64 + 29 - 21*n - 62). -21*n**3 + 31*n**2 Expand (3 - 1 - 3)*(2 - 2 + 4*h)*(-10 + 10 + 7*h + (2*h + 5 - 5)*(5 + 0 - 4) + (-4 + 5 - 4)*(0*h + 3*h - 5*h) + 4*h - 4*h - h - 2 + h - 2*h + 0*h). -52*h**2 + 8*h Expand (f**5 - 5*f + 5*f)*(-219 + 180 + 292) + (6*f**2 - 2*f**2 + f**2)*(-7*f - f**3 + 12*f + 3*f**3). 263*f**5 + 25*f**3 Expand (-156793*b + 18 + 4*b**2 + 93*b**2 + 156793*b)*(-1 + 1 + b**2). 97*b**4 + 18*b**2 Expand 8*h**3 + 20*h**3 - 3*h**3 + (4*h - 2*h - h)*(-2*h**2 - 3*h**2 + 6*h**2) + (134*h**2 + 70*h**2 + 51*h**2)*(-3 - h + 3). -229*h**3 Expand (m + 1 - 1)*(2*m + 0 + 0 + 3*m + 5*m - 3*m + 0*m + 2*m + 4*m + (1 - m - 1)*(0 + 2 + 0)) - 2*m**2 + 7*m**2 - 11*m**2 + (m - m**2 - m)*(1 + 0 - 3). 7*m**2 Expand (p - p + 2*p)*(2*p - 3*p + 2*p)*(3*p - 3*p - p)*(-3237 + 478 + 22). 5474*p**3 Expand (-276*h - 67 + 65 - 3270*h)*(0 - 4 + 1)*(1 - 3 + 3). 10638*h + 6 Expand (3*n**2 + 0*n**2 - 4*n**2 + 0*n + 0*n - n**2 + (-2 + 2 + 3*n)*(-2*n + 0*n + 0*n) + (n + 3 - 3)*(-3*n - n + 2*n))*(5657 + n**3 - 5657). -10*n**5 Expand (-2764 - 921 - 768)*(5*x - 4*x - 5*x)*(0*x**2 + x**2 + x**2). 35624*x**3 Expand (300*j - 67*j + 304*j)*(j - 3*j + 5*j)*(-2 - 2 + 2 + (-4 + 3 + 3)*(-2 + 2 + 1) - 1 + 3 - 3)*(7 - 1 - 4). -3222*j**2 Expand (-2*f + 5*f - 2*f)*(-2*f**2 - 2*f**2 + 2*f**2) - 26 + 5 + 20 + 116*f**3. 114*f**3 - 1 Expand (4*m - 3*m + m)*(2*m**2 - 122030 - 697*m + 122030) - 7*m**3 + 4*m**3 - 5*m**3. -4*m**3 - 1394*m**2 Expand (-38 - 40 + 62)*(-3*v - v + v)*(-4 + 3 + 0)*(8 + 5 - 4). -432*v Expand -2*s**2 + 4*s**2 + 0*s**2 + (2*s + 0*s + 0*s)*(-3 - s + 3) - 4*s**2 + s**2 + s**2 + (-8*s + 13 - 13)*(59*s + 588 - 588) - 3*s**2 - 3*s**2 + 7*s**2. -473*s**2 Expand 206*h**5 - 6 - 130*h**5 + 2 + (0 + h**2 + 0)*(-4*h - h**3 + 4*h). 75*h**5 - 4 Expand (b + 5*b - 4*b)*(-26 + 6 - 20)*(-b**2 + 2*b**2 - 3*b**2). 160*b**3 Expand (-8 - 3 + 2)*(-v - 21 + 19 + 9*v + 3*v**2). -27*v**2 - 72*v + 18 Expand (2*b**2 - b**2 + 8*b**2)*((-14*b - 3*b + 0*b)*(2 - 2 + 1) - 26 + 34*b + 26). 153*b**3 Expand (-2*y + 0 - 1 + 5*y)*(21 - 19 + 25)*(-19*y**2 + 19*y**2 - 40*y**2). -3240*y**3 + 1080*y**2 Expand 7 + 2*k**3 - 7 + (-5 + 2*k + 5)*(4*k**2 - 2*k**2 - 4*k**2) + (1 - 34*k - k**2 + 34*k)*(75*k + 5779 - 5779). -77*k**3 + 75*k Expand (-1021 - 1081 + 1940)*(-8*v - 8*v + 25*v). -1458*v Expand -22*o - o - 44*o + (-3 + 5 - 4)*(-6*o + o + 6*o) + 3*o + 1 - 1. -66*o Expand (0*v**4 - 5*v**4 + 6*v**4)*(0 + 0 + 20 + (0 + 1 + 1)*(2 - 3 + 0) + 1 + 0 + 2)*(2 - 3 - 1). -42*v**4 Expand (1 - 6 + 4)*(-2*r + 2*r + 2*r**2)*(1429*r**3 + 145*r**3 + 1161*r**3). -5470*r**5 Expand (-o**3 - 3*o + 3*o)*(-4 + 4 + 2)*(25551 + 935*o - 25551). -1870*o**4 Expand (3*x - 3*x - 2*x)*(x + x + 0*x)*(-1498*x**2 - 13*x + 1498*x**2 + 18*x**3). -72*x**5 + 52*x**3 Expand (9*c**2 - 15*c**2 + 31*c**2)*(-6*c + 7*c - 485 + 599). 25*c**3 + 2850*c**2 Expand -74*j - 10975 + 10975 - 194 - 6*j + 194 + (5 + 1 - 3)*(-5 - j + 2 + 2). -83*j - 3 Expand -5*z - 310 + 310 + (-75*z + 66*z + 175*z)*(-1 + 1 - 2). -337*z Expand 26*j**5 - 30*j**5 + 21*j**5 + 2 - 2 + j**5 + (-3*j**2 + 2*j**2 - j**2)*(3*j**3 - 4*j**3 + 2*j**3) + (-3 + 3 + 3*j**3)*(-7 + 7 + 4*j**2). 28*j**5 Expand (-6*o + o + 2*o)*(652 - 1266 - 11220*o + 614). 33660*o**2 Expand (l**2 + l**2 - l**2 + (-2 + l + 2)*(-2 + 2*l + 2))*(-4*l + 1 - 1)*(0 + 0 - 1 + (4 - 3 + 1)*(0 - 2 + 1) - 1 + 2 - 2). 48*l**3 Expand g**2 + g**5 - g**2 + (-2*g**2 - g**2 + 4*g**2)*(3*g**3 + 0*g**3 - 2*g**3) + g**5 - 2*g**5 + 5*g**5 - 3 + 0 - 3*g**5 + 4*g**5. 7*g**5 - 3
List the prime factors of 3416755447. 7, 43, 1621621 What are the prime factors of 71958689? 11, 6541699 List the prime factors of 60025822. 2, 151, 198761 What are the prime factors of 68942996? 2, 17235749 List the prime factors of 159752246. 2, 79876123 What are the prime factors of 1062098768? 2, 41, 1619053 What are the prime factors of 2694186937? 13, 207245149 What are the prime factors of 68738067? 3, 19, 31, 12967 List the prime factors of 120891670. 2, 5, 2069, 5843 What are the prime factors of 189789700? 2, 5, 17, 111641 List the prime factors of 1306970551. 887, 1473473 What are the prime factors of 184818793? 347, 532619 List the prime factors of 23524433. 23524433 What are the prime factors of 115774087? 11, 13, 19, 42611 What are the prime factors of 883536133? 883536133 What are the prime factors of 204880066? 2, 149, 687517 List the prime factors of 42204569. 11, 347, 11057 What are the prime factors of 43110231? 3, 14370077 List the prime factors of 6212487. 3, 19, 108991 What are the prime factors of 46682492? 2, 2647, 4409 What are the prime factors of 6214375? 5, 61, 163 List the prime factors of 224317630. 2, 5, 673, 33331 List the prime factors of 3386475647. 41, 5413, 15259 List the prime factors of 1499424074. 2, 749712037 What are the prime factors of 854683126? 2, 11, 17, 2285249 List the prime factors of 33455761. 33455761 List the prime factors of 85755560. 2, 5, 11, 194899 List the prime factors of 37728914. 2, 479, 39383 List the prime factors of 3095333548. 2, 17, 19, 2395769 List the prime factors of 1208927326. 2, 19, 47, 676891 List the prime factors of 188512316. 2, 59, 798781 List the prime factors of 61614519. 3, 20538173 What are the prime factors of 2943008050? 2, 5, 58860161 List the prime factors of 475360812. 2, 3, 163, 9001 List the prime factors of 2420332336. 2, 41, 167, 22093 What are the prime factors of 604035275? 5, 863, 27997 List the prime factors of 57504237. 3, 7, 1223, 2239 List the prime factors of 66079776. 2, 3, 7, 107, 919 What are the prime factors of 93916264? 2, 13, 101, 8941 List the prime factors of 88490952. 2, 3, 11, 111731 List the prime factors of 389597352. 2, 3, 83, 195581 List the prime factors of 114018554. 2, 13, 73, 4621 What are the prime factors of 23240973? 3, 7, 41, 26993 What are the prime factors of 1656368469? 3, 7, 109, 241207 What are the prime factors of 39298644? 2, 3, 7, 11, 14177 List the prime factors of 685590601. 23, 2063, 14449 What are the prime factors of 57489080? 2, 5, 11, 130657 What are the prime factors of 89098971? 3, 13, 2284589 List the prime factors of 2001303815. 5, 7, 379, 3079 What are the prime factors of 1207869775? 5, 7, 6902113 List the prime factors of 1346135872. 2, 3019, 6967 List the prime factors of 1562813106. 2, 3, 31, 8402221 What are the prime factors of 57257986? 2, 929, 30817 What are the prime factors of 70034468? 2, 7, 199, 12569 List the prime factors of 621291677. 31, 71, 439, 643 List the prime factors of 239013586. 2, 7, 17072399 List the prime factors of 648559422. 2, 3, 7, 29, 177493 List the prime factors of 37352979. 3, 4150331 What are the prime factors of 325797467? 47, 73, 269, 353 What are the prime factors of 4356310621? 13, 7841, 42737 What are the prime factors of 1355421770? 2, 5, 349, 388373 What are the prime factors of 1169185243? 23, 31, 1639811 What are the prime factors of 8542975? 5, 7, 48817 List the prime factors of 1026359659. 13, 23, 89, 38569 List the prime factors of 23077461. 3, 11, 263, 2659 What are the prime factors of 1472714318? 2, 17, 83, 521869 What are the prime factors of 154704931? 41, 3773291 What are the prime factors of 1026773132? 2, 7, 11, 3333679 List the prime factors of 254043272. 2, 7, 47, 263, 367 What are the prime factors of 1623024182? 2, 13, 6301, 9907 List the prime factors of 11074690. 2, 5, 11, 83, 1213 List the prime factors of 5763102999. 3, 1921034333 What are the prime factors of 98901123? 3, 127, 259583 List the prime factors of 125640365. 5, 31, 810583 List the prime factors of 69801115. 5, 29, 481387 What are the prime factors of 29700109? 181, 164089 What are the prime factors of 54108004? 2, 971, 13931 What are the prime factors of 131902029? 3, 7, 67, 31249 What are the prime factors of 65090204? 2, 31, 524921 List the prime factors of 140519457. 3, 13, 1201021 What are the prime factors of 8406336203? 8406336203 What are the prime factors of 748034942? 2, 73, 5123527 What are the prime factors of 2681637? 3, 7, 277, 461 What are the prime factors of 1528686612? 2, 3, 397, 106961 What are the prime factors of 33617400? 2, 3, 5, 43, 1303 List the prime factors of 46149311. 13, 3549947 What are the prime factors of 490621870? 2, 5, 17, 2886011 List the prime factors of 2864537844. 2, 3, 7, 4871663 What are the prime factors of 162507378? 2, 3, 11, 2462233 What are the prime factors of 1478257012? 2, 23, 149, 107839 What are the prime factors of 3967389268? 2, 1699, 583783 What are the prime factors of 659277110? 2, 5, 65927711 What are the prime factors of 291366280? 2, 5, 43, 169399 List the prime factors of 25455349. 193, 131893 List the prime factors of 96320168. 2, 7, 1720003 List the prime factors of 231965164. 2, 251, 231041 List the prime factors of 91651503. 3, 30550501 List the prime factors of 80447911. 80447911 What are the prime factors of 1938232051? 7, 276890293 List the prime factors of 42893752. 2, 11, 487429 List the prime factors of 81099757. 557, 145601 List the prime factors of 1608607489. 41, 67, 585587 List the prime factors of 466551461. 466551461 What are the prime factors of 3064956457? 37, 89, 930749 List the prime factors of 110667728. 2, 271, 25523 What are the prime factors of 137458165? 5, 13, 2114741 List the prime factors of 101807818. 2, 7, 7271987 List the prime factors of 71008119. 3, 7, 13, 277, 313 What are the prime factors of 17228029? 7, 13, 14563 List the prime factors of 4854264715. 5, 970852943 What are the prime factors of 5010378916? 2, 1252594729 List the prime factors of 287342999. 31, 37, 479, 523 What are the prime factors of 1015046080? 2, 5, 3172019 What are the prime factors of 5797271242? 2, 7, 601, 98429 List the prime factors of 1687189364. 2, 7, 479, 17971 What are the prime factors of 120191081? 120191081 What are the prime factors of 551610603? 3, 19, 3225793 List the prime factors of 25588963. 113, 226451 List the prime factors of 144343717. 7, 20620531 What are the prime factors of 549825450? 2, 3, 5, 67, 54709 List the prime factors of 523337267. 523337267 List the prime factors of 1675703285. 5, 335140657 List the prime factors of 72858515. 5, 17, 89, 9631 What are the prime factors of 9842373? 3, 79, 109, 127 What are the prime factors of 5897460? 2, 3, 5, 227, 433 What are the prime factors of 2481063920? 2, 5, 31, 1000429 List the prime factors of 33767238. 2, 3, 5627873 List the prime factors of 12979717. 19, 683143 List the prime factors of 65119758. 2, 3, 11, 17, 127, 457 List the prime factors of 36562324. 2, 41, 222941 What are the prime factors of 105126277? 105126277 What are the prime factors of 382518097? 13, 157, 187417 What are the prime factors of 85673960? 2, 5, 2141849 What are the prime factors of 6163723270? 2, 5, 193, 3193639 What are the prime factors of 29376384? 2, 3, 113, 677 List the prime factors of 63680796. 2, 3, 199, 2963 What are the prime factors of 1638560420? 2, 5, 7, 181, 64663 List the prime factors of 2275278655. 5, 13, 59, 593293 What are the prime factors of 303069612? 2, 3, 449, 56249 List the prime factors of 1437196929. 3, 7, 23, 107, 27809 List the prime factors of 813231552. 2, 3, 7, 181, 3343 What are the prime factors of 2643756969? 3, 7, 125893189 List the prime factors of 6202788. 2, 3, 59, 8761 List the prime factors of 162839702. 2, 17, 1597, 2999 What are the prime factors of 5461486555? 5, 7, 17, 1289, 7121 List the prime factors of 102227639. 29, 1483, 2377 List the prime factors of 288854360. 2, 5, 97, 109, 683 What are the prime factors of 43830610? 2, 5, 4383061 What are the prime factors of 42610246? 2, 7, 73, 173, 241 List the prime factors of 3634506039. 3, 2081, 582173 List the prime factors of 85209986. 2, 23, 197, 9403 What are the prime factors of 122444614? 2, 41, 157, 9511 What are the prime factors of 127768599? 3, 7, 2028073 What are the prime factors of 323840738? 2, 13, 29, 429497 What are the prime factors of 2379689192? 2, 29, 79, 157, 827 What are the prime factors of 65903721? 3, 13, 1163, 1453 What are the prime factors of 8298167? 163, 50909
Let u = -58 + 61. Let c(p) = 48*p - 9. Is 9 a factor of c(u)? True Let c be (0 - 1)/(3/(-12)). Suppose -3*f - 5*h + 110 = 0, -h = -c*f - 0*h + 162. Suppose -4*g + 3*g = -f. Does 8 divide g? True Let n = 226 - 205. Does 21 divide n? True Let b(c) = -170*c**3 - 17*c**2 - 19*c. Is b(-2) a multiple of 21? False Suppose 11 = 4*y - 5. Suppose -y*d = -d - 507. Suppose 2*k + q = 4*q + 98, 0 = -3*k - q + d. Is 16 a factor of k? False Does 19 divide 5 + (-879 + -1)*54/(-15)? True Suppose -5*o + 431 + 129 = 0. Suppose 3*f - 293 = o. Is 15 a factor of f? True Let j(c) = -2*c - 7*c + 7*c + 9 + 5*c. Is 8 a factor of j(7)? False Let v(c) = -3*c + 22. Let t be v(5). Suppose 0 = t*u - u - 54. Is 2 a factor of u? False Let j(x) = -2*x + 2 + 6 - 7*x + 8*x**2 - x**3. Is 19 a factor of j(5)? True Let b(r) = 2*r**2 - 16*r - 2. Let k be b(8). Let a(d) = 6*d**2 - 6*d - 2. Is a(k) a multiple of 33? False Let l = 0 - 0. Suppose -14 = -11*q + 19. Let o = q + l. Is o a multiple of 3? True Suppose 4*n + t + 188 = 6*t, n = -t - 38. Let k be 2/4*n/3. Is (-7 - 7)*k/2 a multiple of 15? False Suppose -378 = 131*z - 134*z. Is z a multiple of 6? True Let r(v) be the second derivative of -21*v**3/2 - 4*v**2 - v - 4. Does 8 divide r(-2)? False Let d = 1201 + 316. Is d a multiple of 43? False Let d(m) = -m**2 + 3*m - 6. Let l be d(4). Let f = -9 - l. Suppose 51 = b - f. Is b a multiple of 13? True Let a(d) = 97*d**2. Let v be a(-1). Let o = -9 + v. Does 22 divide o? True Let p be (6/(-9))/((-2)/951). Let r = p + -218. Is 11 a factor of r? True Let x(j) = 2*j**2 + 6*j - 191. Does 43 divide x(-22)? True Let l be -100*(-6)/4 + 3. Is 24 a factor of 3028/18 - 34/l? True Let v(j) = 3*j + 23. Let b be v(-7). Suppose 88 - 22 = b*x. Does 15 divide x? False Let g(o) = -o**3 - 5*o**2 + 5*o + 4. Let m be g(-6). Let t = 66 - m. Does 7 divide t? True Does 34 divide (-20)/15*(19635/(-10))/11? True Let p(o) = -4*o - 15. Let s be p(-6). Let a(c) = c - 6 - 27 + s + 4*c. Does 23 divide a(14)? True Let g(a) = 2*a - 2. Let j be g(6). Let b(z) be the third derivative of z**4/6 - 5*z**3/6 + 2*z**2 + 9. Is 11 a factor of b(j)? False Let h be (2/9 + (-75)/(-27))/1. Suppose -3*s = -156 - h. Does 4 divide s? False Suppose 0*m = 4*m + 20. Let p be (-102)/m + 16/(-40). Suppose 0 = -5*h - p + 240. Does 22 divide h? True Let u(s) = s**2 - 10*s + 10. Let k be u(9). Let t be 0 + 6/(-3 + k). Let x(w) = 4*w**2 + 3*w + 1. Is 14 a factor of x(t)? True Let p = -729 + 1254. Does 4 divide p? False Let y(h) = h**2 - 12*h + 3. Let a be y(8). Let r = a - -73. Is 11 a factor of r? True Let z be (114*(2 + -5)/6)/(-1). Suppose -2*m = 5*k - z - 79, -m + 55 = 2*k. Is 10 a factor of k? False Is 8 a factor of (32 - 39 - (1 + 2978))/(-2)? False Let n(s) = 25*s - 8. Is n(14) a multiple of 6? True Let n = -151 - -299. Let r = n + -76. Does 24 divide r? True Let x be -4 + 2 + 2 + 43. Suppose -177 = -4*c + x. Does 11 divide c? True Let r(m) = -m**3 - 7*m**2 - 7*m - 7. Let l be r(-6). Let b be 3 + (-3)/3 + l. Suppose -5*y - b = -41. Is 5 a factor of y? False Let p = 0 - -11. Suppose -3*t = 2*m - p, 2*t - m - 5 = 7. Let b(n) = 4*n - 6. Does 14 divide b(t)? True Is 13 a factor of (18 - 12)/((-6)/(-206))? False Let f(h) be the first derivative of 11*h**2 - 12*h + 1. Let c be 4 + -3*(-3 + 2) + -2. Does 32 divide f(c)? False Let i be (-2 + 0)*8/16. Let n = i + 8. Let s(d) = -d**2 + 9*d + 8. Is s(n) a multiple of 11? True Suppose 4*b + 9 = 21, x - 84 = 4*b. Suppose 0 = -8*n + 11*n - x. Is n a multiple of 11? False Let c(v) = -v**3 - 8*v**2 - 30*v - 159. Does 37 divide c(-12)? True Suppose 5*c - 12 = -2*d, -3*c + 3 - 2 = -5*d. Let m(j) = -j**2 + 0*j**2 + 4*j**2 + 2 + c - j**3. Is 3 a factor of m(3)? False Suppose 0 = 4*h - 0*h + 28. Let f(t) = -t - 7 + 0 + 7*t**2 + t**3 - 2*t. Is 7 a factor of f(h)? True Suppose p - 4*u = -3, 3*u - 1 = 3*p + 17. Let z = p + 11. Suppose s + 43 = 4*m + 4*s, -20 = -z*s. Does 7 divide m? True Suppose 7*x - 25 = 3. Suppose 2*z - 3*j - 64 - 57 = 0, x = -4*j. Does 7 divide z? False Let o = 2 - 2. Suppose -4*w + o*w = 0. Suppose w = r - 1, -h - 5*r = 3*h - 77. Does 9 divide h? True Suppose 0 = -9*g - 2334 + 687. Let b = g - -283. Is b a multiple of 25? True Let w(d) = -d**2 - 10*d + 27. Does 9 divide w(-7)? False Let m be (-317133)/(-63) - 2/(-14). Let c be 9/(-15) - m/(-15). Suppose -6*f + c = 83. Is 14 a factor of f? True Let m(o) = 0*o**3 + 2*o**3 - 1 + 5 - 4*o**2 - 5. Does 17 divide m(3)? True Let l(f) = f**3 - 2*f**2 - 7*f + 4. Let g be l(5). Let z = g + 19. Does 6 divide z? False Let n = -17 + 11. Is (-75)/(((-2)/n)/(8/(-24))) a multiple of 15? True Let l = -4 - -12. Let s(q) = 3*q**2 - 13 - q + 35 - 18 - q**2 - 9*q. Is s(l) a multiple of 16? False Let y be (273*-1)/(18/12). Is 6 a factor of (7/(-2))/(13/y)? False Let c(z) = 11*z**3 + 3*z**2 - 3*z - 6. Suppose -k - 4*a = -2, 5*k + 5*a + 0 = -5. Let m be c(k). Does 9 divide 5/((-20)/m) - 1? True Is (-995)/(-5) + (-4 + 3 - -3) a multiple of 6? False Let w(a) = 6 + 4*a - 3 + 35*a. Let o be w(3). Suppose -4*r = -9*r + o. Does 5 divide r? False Suppose -6 = -2*a, -6 = -2*h - 5*a - 1. Let g = -3 - h. Suppose g*v = 3*v + 3*i - 7, 55 = 4*v + 3*i. Does 6 divide v? False Suppose -12*a + 43311 - 8103 = 0. Is a a multiple of 9? True Suppose 996 = -j + 4*j. Suppose -259 = -3*c - y, -7*c + 2*y + j = -3*c. Is c a multiple of 17? True Let i = 773 - -1019. Is 62 a factor of i? False Suppose 2*w + 77 = 87. Suppose -1231 = -w*k + 4*r - 77, -4*r + 456 = 2*k. Is 23 a factor of k? True Let k = -843 + 1525. Is k a multiple of 6? False Suppose z = 5*m + 103, 2*z + 29 = -4*m - 59. Let o be (m/14)/(1/28). Does 19 divide (-4 - o)*1/2? True Suppose 5*q = -r + 3225, 2*r + 31*q - 35*q = 6492. Does 45 divide r? True Let h(l) = -2*l**2 + 19*l + 17. Let a be h(11). Is 78/(3*(-4)/a) a multiple of 22? False Let i = -243 + 381. Is 4 a factor of i? False Let l be (-10 - -11)*(2 + 1). Let y be 1 + l/(12/272). Let i = 97 - y. Is 25 a factor of i? False Does 6 divide (-1)/(-2) - (-644)/8? False Let w(x) = 4*x + 8. Let t be w(0). Does 5 divide 3/t - (-884)/32? False Suppose 0 = -4*n + 16 - 4. Suppose -246 = -5*h - n*t, 0*t + 114 = 2*h - 4*t. Let y = -11 + h. Does 8 divide y? True Let b(m) = 6*m**3 - m**2 + 3*m - 2. Let g(y) = 5*y**3 - 2*y**2 + 4*y - 2. Let i(c) = 4*b(c) - 3*g(c). Is i(2) a multiple of 10? False Let d be (-3)/(-6) + (-1617)/14. Let m = -193 - d. Let p = m - -122. Is p a multiple of 16? False Let y = -48 - -43. Let a = y - -49. Is a a multiple of 8? False Let r = -13 + -5. Let f(x) = x**3 + 20*x**2 + 27*x + 18. Is f(r) a multiple of 33? False Suppose -4*a + 4*f = -2820, 2*a - 1418 = 3*f + f. Is a a multiple of 12? False Suppose 0 = 6*n + 9*n - 1395. Let o = -24 + n. Does 8 divide o? False Suppose 27 - 17 = 2*i. Suppose 0 = -12*u + 7*u - i*z + 1535, 3*u + 5*z = 915. Is u a multiple of 47? False Let m(i) = -40*i - 1. Let v be m(-4). Suppose -519 = 5*h - v. Let a = 114 + h. Is 14 a factor of a? True Let b(v) be the second derivative of -5*v + 5/6*v**3 + 5/2*v**2 + 0. Is 5 a factor of b(3)? True Let d(m) = 9*m + 11 + 0 + 8 - 3 + m**2. Let q be d(-7). Suppose 2*l = 10, 2*w - l = -q*w + 103. Does 7 divide w? False Let u(x) = -x**3 + x**2 - 2*x + 663. Does 51 divide u(0)? True Suppose 5*w = -43 - 147. Let s = 128 + w. Is 15 a factor of s? True Let s = 1 + 705. Is s a multiple of 17? False Let w(y) = -81*y - 2. Let k be w(2). Let t = -1623 + 1531. Let f = t - k. Is f a multiple of 18? True Let t(j) = -j**2 - 4*j + 5. Let x be t(-4). Let m be (-6)/(-2) + 32 + -31. Suppose x*f - m*f = 20. Does 20 divide f? True Suppose -5*h - 1696 = -2*f, -14*f + 19*f - 4202 = 3*h. Is f a multiple of 3? False Let m = 1276 + -524. Is m a multiple of 8? True Suppose 11*s = 12*s + 4*l - 1345, 0 = -3*l - 3. Does 11 divide s? False Suppose -184*q = -180*q - 1140. Suppose -q - 72 = -17*x. Is 21 a factor of x? True Let f = 251 - -7. Suppose 20*g = 17*g + f. Is g a multiple of 10? False Suppose -24 + 2 = -2*p. Suppose -4*h - p = -3*l + 7, h = 0. Does 2 divide l? True Let c = 644 + -588. Does 7 divide c? True Let b = 521 - 372. Suppose b = 4*n + 3*f, 4*n - 2*f = -f + 169. Is 18 a factor of n? False Let s(h) = -h + 4. Let l(a) = -a - 14. Let y be l(-14). Suppose y = -5*g - 6 - 34. Does 6 divide s(g)? True Let y(b) = 16*b**2 - 8*b - 89 + 173 - 91 - b**3. Is y(15) a multiple of 10? False Let p be -5*((-3024)/10 + 3). Suppose -7*c + p = 510. Does 13 divide c? False Suppose -7*p + 5404 = -1820. Does 6 divide p? True Does 32 divide 6*((-7510)/(-20) - -9)? False
What is the value of (-3577)/(-294)*-12 + 138? -8 Calculate (-21)/(-36) + -7*((-17667)/(-1092) + -16). -2/3 Evaluate (6/3)/(((-31)/6)/31) + (-9542)/(-793). 2/61 Evaluate 704/(-110) - (-39184)/17360. -29/7 Evaluate (101/(26664/2464))/((-4)/(-6)). 14 1548/(-72) - -8 - (-5 - 19) 21/2 What is (-4)/(2/(-48) + (222678/4752 - 47))? 22 Evaluate (33/6)/((-26730)/456840). -94 What is (0 + (-2 - -1))/(19564/(-58692))? 3 Evaluate (-92016)/2088 - 10/(-145). -44 What is ((-3330)/297 + 11)*(10 + 1222/(-91) - -3)? 1/11 Evaluate 208/(-3510)*(-873)/(-194). -4/15 ((-4)/544)/1*((16 - 42) + 14) 3/34 What is -10 - (4920/(-630) - (((-24)/(-18) - 0) + 1))? 1/7 Calculate ((-1596212)/(-223859))/(4/46). 82 What is the value of ((-342)/(-190))/(336/(-23520))? -126 What is 35 - 2 - -11*420/165? 61 Calculate (-2)/(-57) + 5781/(-259407)*-5069. 113 Evaluate 11/((-176)/400) + (1/2)/(52/(-208)). -27 What is ((3 + -1)/(-2))/(((-1068)/(-72))/89)? -6 (82 - 20 - 107) + 85 40 Evaluate (77605/9130)/((-6)/4 + 2). 17 Evaluate (-6456 - -6246)*(-1)/(-3). -70 Evaluate 533/(-82)*(-8610)/1599. 35 Calculate -3*(-376)/705*(-130)/(-8). 26 ((-1160)/104 + 11)*(-936)/168*1 6/7 Evaluate -47 + 66 + (5 + 3 - 14355/605). 36/11 (1500/(-1375))/((-8)/(-11)) -3/2 What is ((10/(-4))/(5885/2354))/(1/(-144)*-2)? -72 -10 - (-53 + 99 + (-50408)/900) 2/225 Evaluate (24 - 37) + (-628)/26 + 12/78. -37 (-13)/((-8736)/36480) + -53 9/7 What is ((-62960)/(-81848))/((-44)/26)? -5/11 Evaluate 38 + (-675)/(-135) + -4 + -135. -96 Evaluate (5/63)/((-7140)/(-6664)). 2/27 250/19 + 7599/(-48127) 13 Calculate (-11 - (-1740)/156) + 0 + (-836)/(-143) - -1. 7 (-2337)/(-9348) - 354/(-9)*(129/24 + -5) 15 What is the value of (-2)/12 + 4579/(-723)? -13/2 What is (669/18 - -1) + (-1578)/(-36) + -44? 38 Evaluate 10128/(-110) + (252/90)/(-14) + 243/891. -92 What is the value of (-32)/18*(-21)/(45 - 3)? 8/9 What is -1*11/22*(-14)/(-48) + 4472/71552? -1/12 What is (-2380)/28600 + 8880/(-330) + 27? 1/130 Evaluate 104 - (42 - (-660)/(-30)). 84 Calculate ((-182)/(-252) - 2/9)*((-91)/26 + -2). -11/4 What is 39/(-390)*(-10)/11 - ((-432)/99)/16? 4/11 Evaluate (1428/765)/(-13*238/7956). -24/5 What is 5/1 + -15 + 363/11? 23 What is the value of 2*45*(((-24624)/(-190))/81)/((-16)/(-5))? 45 What is the value of ((-82)/126 - 1) + (-36)/(-63)*(-21)/(-54)? -10/7 Calculate 92 - (-1 - 51290/(-552)). 1/12 What is (29 + 2669/(-102))*(-21 + 15)? -17 What is the value of 1881/330*670/201? 19 Evaluate (-16)/(-22) + 153 + (-754060)/4884. -2/3 What is the value of (-2 + (-147)/(-73))/(20/50 + 43/430)? 2/73 What is the value of ((-81)/((-87)/29))/(-1 - -2)? 27 8987/(-1419) + 10182/1602 2/89 Evaluate ((-6072)/(-288) + -21)/((-10)/60). -1/2 1416/(-7316)*(-3)/18*403 13 What is (-43)/((-22 + 91)/138)? -86 Calculate (225/(-11))/3 - (-210)/(1080/36). 2/11 What is (1243 - 1217)*(-806)/(-169)? 124 What is the value of (-9774)/3801*175/(-15)? 30 29 - 31 - ((-285)/(-19) + -24) 7 (13/((-234)/27))/((-2)/184*2) 69 Evaluate 16470/3888 - 561/(-2508)*-19. -1/72 What is (-2 - -7) + (1863/138 + -11)/((-5)/12)? -1 -3 + 21 - 396/99 - (-1)/1 15 Calculate (-72)/54*(-3240)/135. 32 Calculate (-5016)/798*105/(-30) - 994/46. 9/23 Calculate -18 - -20 - (-39)/((-21021)/1100). -2/49 Calculate (-564)/4 + -2106 + 2166. -81 Calculate (-192)/224*245/70. -3 ((-68)/425*45/(-18))/(6/5) 1/3 What is ((-2090)/286 + 8)*106/(-8109)? -2/221 Calculate (-4522)/68*(-90)/(-36)*((-118)/(-70) + -1). -114 1*(-46 + 5076/(-94)) -100 Evaluate (-8)/16*26 + (-12 - 7) + 17. -15 Calculate (-4808)/96 + (-876 - -927). 11/12 What is -203*(-12)/(-168) - (4 + -1 - 6)? -23/2 -7 + 4 - ((-57013)/426 + 133) -13/6 1389/(-73) - (1560/(-730))/78 -19 What is (-1947)/(-198) + 2/12 - (-592)/(-60)? 2/15 30688/(-1920) - -16 - (-3059)/60 51 Evaluate (-3)/(-70)*((-42)/1260 + ((-39)/(-18) - 2)). 1/175 Calculate (80/(-5510))/((-904)/6554). 2/19 Calculate (-12)/(-26) + (-3717016)/80002. -46 Calculate (-268)/(-3216) - (-2012)/48. 42 What is the value of (((-1)/42 + 0)*2)/(568/(-1988))? 1/6 What is the value of (-1 + (-4)/(-2))/((-197 - -201)/4)? 1 Calculate ((204/9)/17 - (-14)/2)*27/(-15). -15 4131/136*94/423 27/4 What is ((-3 + 44)/41)/((-5)/70)? -14 What is the value of (-3 + -135 - 5) + (-21 - 16) + 55? -125 (1008/60)/((-1044)/3480) -56 What is (-79)/(-6) - (-330)/240*-8? 13/6 ((12 - 27)/15)/(14 + (16 - 4)) -1/26 (147 - (-6106)/(-71)) + -15 46 Evaluate 169008/(-3018) - (-2 - 50). -4 Calculate (-9 - 551/(-76))/(605/120 - 5). -42 What is (3 - 0*18/(-81)*63/(-28)) + 6? 9 Evaluate (41699/46)/7*56/(-98). -74 Calculate (69930/2509710)/((-15)/17). -3/95 Calculate (-1)/(-4 - (-126)/30) + 2385/207 + -6. 12/23 Calculate (245/(-55) - -1) + 59/(531/36). 6/11 What is the value of 527/(-25823) + (-1912)/(-49)? 39 What is the value of 8/210*(-23)/6*1800/(-9200)? 1/35 Evaluate (35758/1976 + -18)/(40/(-64)). -2/13 What is 26*(-2)/4*1 + 48833/1039? 34 Evaluate -3772 + 3807 - 0/2. 35 What is the value of (-14)/(-116)*(-37 + 960/84 + 29)? 12/29 Evaluate ((-4)/78 - 199144/(-219219))/(1 - (-9)/(-7)). -3 ((-44)/(-14) - 3)/(22 - (-4185)/(-189)) - -99 98 Evaluate (-9)/((-3024)/1616) + (-28)/(-84). 36/7 What is the value of 24/(-32)*(1/4 + (22 - (-12581)/(-564)))? 2/47 Calculate (3/14*-2)/((-30)/(-42)) - (-624)/15. 41 What is ((-52)/(-286))/(7/50)*(-336)/96? -50/11 Evaluate (43/(5547/2064))/((-12)/(-75)). 100 What is (-2646)/588 + 61/(-2)? -35 What is (-3689)/(-9114) - (-6)/9? 15/14 What is (1168145/1925)/67 + -9? 2/35 Calculate ((-2760)/(-6210) + (-298)/468)*(48/(-10))/(-2). -6/13 What is the value of -17 - 207/(-9) - (42/70 - (-327)/5)? -60 Evaluate ((-4)/2)/((-752)/(-14664)). -39 (-8338)/(-4927) - 4*45/108 1/39 What is (-100326)/(-7176) + 6/312 + (0 - 79/5)? -9/5 Evaluate (-46410)/(-1300) - (3 - (-33)/(-10)). 36 Evaluate (30/125)/(4*108/(-45) + 3). -2/55 What is 54*910/58968 - 3/((-396)/(-62))? 4/11 What is the value of ((-20)/8)/((2/14)/(20 - (-16362)/(-819)))? -5/13 What is the value of ((-2)/(-12))/(-120 - (-1740495)/14508)? -26/5 Evaluate 29/(435/(-120))*(143559/(-13052) + 11). -2/251 What is the value of -24 - 56*2743/(-6396)? 2/123 2 + (-1080)/550 - (-1038664)/(-13310) -78 Evaluate (2 - (-99)/45)/(-31 - -30). -21/5 What is the value of ((-2)/((-4)/(-10)) - -3) + (-65739)/(-32225)? 1/25 -13 + -35 + 3 - (574 + -505) -114 What is (-148 - (-6654)/45) + 1322/(-45)*-3? 88 Calculate 453 - 501 - (7 - 8)*(-24)/(-2). -36 What is the value of (47 + -41)*(-2)/(-8)*-1 + 2? 1/2 What is the value of (-20)/(-3)*((-5238)/(-630) + (-27)/(-21))? 64 (-13 - (-4 + -14))*36/(-60) -3 What is (10516/(-4780))/((-726)/(-120))? -4/11 What is the value of 38193/(-31608) + 21/24? -1/3 What is the value of 2 + (8 - 23)*(-56)/756? 28/9 What is the value of -14 - -110 - 6 - 3*-3*(-5)/15? 87 Evaluate (1132 - 902)*(9/(-36) - (-1)/(-4)). -115 (-6)/(-12)*((-24)/(-10))/(78/(-164450)*-23) 110 Calculate ((13 + -11)*(-2)/5)/((-10)/(-775)). -62 What is (-32656 + 32658)/(90/4*(-2 + 8))? 2/135 What is ((2/(-3))/((-100)/(-90)))/((-240)/(-1200))? -3 What is the value of ((-1932)/(-627))/(-28) - ((-1 - 2) + (-111)/(-33))? -9/19 What is the value of (-96)/2940*(2/16 - 21/(-72))? -2/147 Evaluate (-2)/(-8) + -41*((-83)/(-166) - (-66)/(-136)). -6/17 What is 801/(-17) + (-368151)/(-7833)? -2/17 ((-130)/(-156) + ((-5)/(-15))/((-26)/5681))/1 -72 -572*(-4)/792*-18 -52 (-2 - 1 - (-168)/72)*(112/70 + 5) -22/5 What is the value of (10 - 7)/((-2)/(-18)) + -27 + 34? 34 4/62 - (-1651940)/678280 5/2 Calculate (157 + -9 - 148)/(15*-1). 0 Evaluate (-43 - 9139/(-209))/((-4)/1). -2/11 What is the value of 117/6 + ((-8)/((-360)/9))/((-6)/15)? 19 Evaluate ((-5)/(-26))/(14 + (-12026)/336 + 22). 12/13 95/(70300/98790)*2/(-12) -89/4 What is the value of ((-64070)/76884)/(40/9)? -3/16 Calculate ((-7498)/489 - 74)/(2/3). -134 52/11232*-16 + 1192/54 + 1 + -2 21 What is ((-20)/(-18))/((-242)/219) - 195*(-476)/92820? -2/363 (-133 - (-175 - -70)) + -43 -71 Calculate (12/(6 - 54) + (2 - 3))*220/(-150). 11/6 4 + -7 + 9 + -19 + 8 -5 What is 457 - 425 - (1 + 21)? 10 What is (-17)/(153/522) - 1360/34? -98 What is the value of (-7)/49 - (-3)/(-77) - (-43)/(30745/72345)? 101 46750/1309 + (-11)/35 + 3/(-15)*-3 36 What is (-3651)/(-243)*37/(-37) - -15? -2/81 ((-38250)/408 - -95)*64 80 Calculate (63/11 - -1)/((-8835)/(-165) + -53). 37/3 Evaluate (98/((-5096)/(-494)))/152. 1/16 What is the value of 678/26 + (-6)/3 - (15606/(-102))/(-1989)? 24 What is ((-7)/(-56))/(3144/(-288) + 10)? -3/22 Calculate (272/100)/(128/(-1600)). -34 Evaluate (-1)/10*(-3991760)/9736. 41 What is the value of (190/(-475))/((-3)/(-8 + -1) - 10609/30900)? 40 What is (-3603327)/189007 - -2*(-3)/(-93)? -19 Evaluate (3276/(-300) + 70/(-875))*6. -66
Collect the terms in -4270*d**3 + 1157*d**3 - 2825*d**3. -5938*d**3 Collect the terms in 1001026*t**2 - 1001029*t**2 - 4249730 + 4249730. -3*t**2 Collect the terms in -3920*n - 2467*n - 4297*n. -10684*n Collect the terms in 72*o - 123*o + 75*o + 195 - 597 + 206 + 196. 24*o Collect the terms in 302 - 835 - 1578 - 195*f - 194*f. -389*f - 2111 Collect the terms in -749 + 751 - 14*g - 53*g - 13*g + 5*g - 46*g. -121*g + 2 Collect the terms in -9 + 173*w + 822*w - 3 + 18 + 211*w. 1206*w + 6 Collect the terms in 14877*f + 6210*f + 4123*f. 25210*f Collect the terms in -497*y**3 - 439*y - 339*y + 1221*y - 443*y. -497*y**3 Collect the terms in 4 - 14 + 31 - 2 + 79*t**2 - 2*t + 2*t. 79*t**2 + 19 Collect the terms in -86*p**2 + 867 - 132*p - 867 + 269*p - 137*p. -86*p**2 Collect the terms in 139 + 2*d - 383 - 2*d**3 - 2*d + 6*d**3. 4*d**3 - 244 Collect the terms in -184*f**2 + 401*f - 930*f + 529*f. -184*f**2 Collect the terms in 14979*z + 1184*z - 2401*z + 8157*z. 21919*z Collect the terms in -147045 - 147048 - 147050 - 45*k + 588190 - 147047. -45*k Collect the terms in -133*m + 418*m + 372*m - 7267. 657*m - 7267 Collect the terms in -20178*u**3 - 49044*u**3 - 22962*u**3. -92184*u**3 Collect the terms in -1164*v - 1120*v + 3*v**3 - 1832*v + 4116*v. 3*v**3 Collect the terms in 27 - 13 + k**2 - 31. k**2 - 17 Collect the terms in -3515*n**2 - 159*n**2 + 1822*n**2 + 1844*n**2. -8*n**2 Collect the terms in 11*c - 55*c + 23*c + 663*c**3 + 25*c + 1624*c**3. 2287*c**3 + 4*c Collect the terms in -9 + 10 - 148*q**2 + 4*q - 5 + 1 + 1. -148*q**2 + 4*q - 2 Collect the terms in 2467*f - 503*f - 502*f - 565*f - 578*f. 319*f Collect the terms in -1237*t + 1102*t**2 + 1237*t - 185*t**3 - 1102*t**2. -185*t**3 Collect the terms in 2*k - 39510 + 5132 - 5583. 2*k - 39961 Collect the terms in 1551903*g**2 + 112*g**3 - 1551903*g**2 + 1 - 118*g**3 - 1. -6*g**3 Collect the terms in -16*q + 17*q + 608259 - 608220. q + 39 Collect the terms in 28*p + 3428*p**2 + 23*p + 3252*p**2 - 51*p - 6628*p**2. 52*p**2 Collect the terms in -754*m**3 + 4649*m**3 + 5738*m**3. 9633*m**3 Collect the terms in 2798 + 54*t**2 + 2803 - 5601 + 47*t**2 + 51*t**2 - 148*t**2. 4*t**2 Collect the terms in 1682721*n + 5415132*n + 4716*n. 7102569*n Collect the terms in -113*a + 1494644 - 121*a - 1494644 + 247*a - a**3. -a**3 + 13*a Collect the terms in -11555*l**3 - 11*l + 2*l**2 - 15*l**2 - 3882*l**3. -15437*l**3 - 13*l**2 - 11*l Collect the terms in 1826671531 + 2*o**2 - 2*o - 1826671531. 2*o**2 - 2*o Collect the terms in 2167*x - 560*x + 30710*x. 32317*x Collect the terms in 10*m**3 + 106*m**2 + 99*m**2 + 15*m**3 - 324*m**2 + 119*m**2. 25*m**3 Collect the terms in -621*t - 818*t + 262*t. -1177*t Collect the terms in -25677695*z**2 + 8559230*z**2 + 8559237*z**2 + 8559231*z**2 + 4 - 1 - 3. 3*z**2 Collect the terms in -324259 + 108085 + 108091 + 196*j + 108083. 196*j Collect the terms in 261796*x + 261853*x - 523601*x. 48*x Collect the terms in 0*c - 62*c - 42*c - 325*c**2 - 320*c**2 + 27*c + 647*c**2. 2*c**2 - 77*c Collect the terms in 2634*f**3 + 2625*f**3 + 2567*f**3 - 13086*f**3 + 2628*f**3 + 2630*f**3. -2*f**3 Collect the terms in -57928*g - 1 + 14619*g + 14626*g + 14067*g + 1 + 14617*g. g Collect the terms in -4270*h**3 - 157459*h + 157459*h. -4270*h**3 Collect the terms in -1134*n**2 + 2264*n**2 - 1129*n**2 - 105*n**3 - 2822*n + 2822*n. -105*n**3 + n**2 Collect the terms in 324463971*b - 324463971*b - 29 - 2*b**2. -2*b**2 - 29 Collect the terms in -2371 + 792 - 2239*c - 2*c**2 + 2239*c + 788 + 791. -2*c**2 Collect the terms in -50228750*x + 25114355*x + 25114361*x. -34*x Collect the terms in 61101*r**3 - 1 + 1 - 6398*r**3. 54703*r**3 Collect the terms in -3511*p - 3802*p + 11182*p - 3802*p. 67*p Collect the terms in 265 - 571 - 2*x + 0*x + 255. -2*x - 51 Collect the terms in 24 - 3 + 3795*w - 2987*w. 808*w + 21 Collect the terms in -166669*w**2 - 396707*w**2 - 135419*w**2. -698795*w**2 Collect the terms in -1063*w + 20 + 352*w + 4*w**3 + 8 + 351*w + 360*w. 4*w**3 + 28 Collect the terms in -228*f**2 + 145*f**2 - 225*f**2 - 77491*f + 77491*f. -308*f**2 Collect the terms in 26890*v + 37185*v - 64073*v. 2*v Collect the terms in -31*x**2 + 137 + 295*x - 148*x - 146*x. -31*x**2 + x + 137 Collect the terms in 25798*w + 3819841*w + 851942*w. 4697581*w Collect the terms in 0 - 2 + 1 - 327*h + 170*h + 183*h. 26*h - 1 Collect the terms in 99*g**3 - 127321 + 63666 + 63655. 99*g**3 Collect the terms in -4416*u**3 + 3 + 8918*u**3 - 3 - 4451*u**3. 51*u**3 Collect the terms in 134853*f + 2 - 134793*f - 5. 60*f - 3 Collect the terms in -178 + 178 + 85990*k**2 + 80762*k**2. 166752*k**2 Collect the terms in -23344*k - 25285*k - 28426*k + 37196*k. -39859*k Collect the terms in -81569*w + 10720*w**2 + 81569*w - 1. 10720*w**2 - 1 Collect the terms in -2*l - 418934055 + 418934055 - 2*l. -4*l Collect the terms in -140350*d + 30085*d - 34744*d. -145009*d Collect the terms in -j**2 + 10581*j**3 + j**2 - 3528*j**3 - 3506*j**3 - 3544*j**3. 3*j**3 Collect the terms in 5626583007748*t - 5626583007748*t + 3*t**2. 3*t**2 Collect the terms in 143 - 285 + 139 + 142 + 138 - 277 - 4*a. -4*a Collect the terms in -159*q**3 + 6530421550*q**2 + 154*q**3 - 6530421550*q**2. -5*q**3 Collect the terms in 13 - 3 + 3434*m - 3438*m - 6 + 1. -4*m + 5 Collect the terms in 676*d**3 + 280*d**3 - 287*d**3 - 84*d**3. 585*d**3 Collect the terms in -9992 + 112*n - 209*n + 91*n. -6*n - 9992 Collect the terms in 348 - 15*d**2 - 926 + 574. -15*d**2 - 4 Collect the terms in -151 + 16*c - 29*c + 14*c - 16 - 101. c - 268 Collect the terms in 52122*d + 19279*d - 2 + 2. 71401*d Collect the terms in -166*n - 1519*n**3 + 1531*n**3 + 497*n - 163*n - 168*n. 12*n**3 Collect the terms in -q + 16*q**2 - 1085246439871 + 1085246439871. 16*q**2 - q Collect the terms in -8*n**2 + 5*n**2 + 74759*n**3 + 3*n**2. 74759*n**3 Collect the terms in -138*o - 55 + 24 + 37 + 12 + 25. -138*o + 43 Collect the terms in -424*y**2 + 88 - 33 - 29 - 31 + 2*y. -424*y**2 + 2*y - 5 Collect the terms in 111*o**2 + 2*o - 48*o**2 - 3858*o**2 - 3143*o**2. -6938*o**2 + 2*o Collect the terms in 419*z**3 - z + 365*z**3 - 1135*z**3 + 348*z**3. -3*z**3 - z Collect the terms in -16675565050 + 16675565050 + n**3. n**3 Collect the terms in 196813427*l - 196813427*l - 2402*l**3. -2402*l**3 Collect the terms in 9*t**2 - 362989 + 362989 + 23*t**2 + 71*t**2. 103*t**2 Collect the terms in 619*b + 96 + 1292 - 143 - 617*b. 2*b + 1245 Collect the terms in -579*w**3 + 280*w**3 + 107*w**2 + 297*w**3 - 107*w**2. -2*w**3 Collect the terms in -213 - 202 - 274 + 13*r + 902 - 9*r - 213. 4*r Collect the terms in -156*g**3 + 712*g**3 - 186*g**3 + 173*g - 186*g**3 - 186*g**3. -2*g**3 + 173*g Collect the terms in 233 + 524 + 347*m**2 + 319*m**2 - 669*m**2. -3*m**2 + 757 Collect the terms in 840*j**3 + 2951*j**3 - 5778*j**3 - 11383*j**3. -13370*j**3 Collect the terms in 61316*p - 31258*p - 261381*p - 36579*p. -267902*p Collect the terms in k**3 - 3*k**3 - 86090*k - 181063*k. -2*k**3 - 267153*k Collect the terms in -16*n**2 - 271*n**3 + 16*n**2 + 33*n - 33*n + 63*n**3. -208*n**3 Collect the terms in 12*l**2 + 26*l**2 + 2947 - l + l - 3003. 38*l**2 - 56 Collect the terms in -3829 + 3820 + 0*q**3 - 8*q**3. -8*q**3 - 9 Collect the terms in 0*v - 150*v**2 + 243*v**2 - 332*v**3 - 3*v - 93*v**2. -332*v**3 - 3*v Collect the terms in -2154407*p**3 + 2 + 5 + 2153950*p**3. -457*p**3 + 7 Collect the terms in -2153 + 8966 - 2271 + 14*b - 2273 - 2269. 14*b Collect the terms in 5*s**2 - 5*s**2 + 153357*s - 457*s**3 - 153357*s. -457*s**3 Collect the terms in 2260*u + 5648*u - 7914*u + 16*u**2. 16*u**2 - 6*u Collect the terms in -95 + 10238*c**3 + 95 - 35160*c**3. -24922*c**3 Collect the terms in 401773 - 1206734 + 402464 + 402497 + 2*c. 2*c Collect the terms in 517809*b - 207119*b + 458347*b + 495271*b + 178827*b. 1443135*b Collect the terms in 16 - 38 + 6 + 128*d + 2 - 128*d - 3*d**2. -3*d**2 - 14 Collect the terms in 10*a + 11*a + 9*a - 31*a + 2376. -a + 2376 Collect the terms in -23564207 + 11*p**3 + 23564207. 11*p**3 Collect the terms in -323336*u**2 + 646155*u**2 - 322822*u**2. -3*u**2 Collect the terms in 2*r - 2*r + 0*r + 4534561*r**2. 4534561*r**2 Collect the terms in -15*w**3 - 2210970 - 2*w + 3*w + 14*w**3 + 2210970. -w**3 + w Collect the terms in -23516*r**2 + 10849*r**2 + 12781*r**2. 114*r**2 Collect the terms in 5199 + 10143 - 132*b + 276*b - 139*b. 5*b + 15342 Collect the terms in -28*c**3 + 185*c**2 + 14*c - 188*c**2 - 14*c + 2. -28*c**3 - 3*c**2 + 2
Solve -q - 4 = -4*d - 9, 0 = -5*d + 5*q - 25 for d. 0 Solve -5*m = 5*i - 15, -10*i + 7 = -7*i + m for i. 2 Solve -3*p - 5*y - 18 = 2, -3*p = -4*y + 11 for p. -5 Solve u - 159*f = -154*f + 19, -6 = -3*u - 2*f for u. 4 Solve 0 = 3*d - c - 7, 8*c + 20 = 3*c for d. 1 Solve -u + 2*i = -1, 3*u - 11 = -3*i + 1 for u. 3 Solve 2*v - 15 = 5*l, l = 3*v - 16 - 0 for v. 5 Solve 4*m - 8*u - 4 = -12*u, 0 = -2*m - u for m. -1 Solve -l - 2 = t, 14*l = 11*l - 9 for t. 1 Solve 4*f - 20 = 0, 6*c + 15 = 4*c + 3*f for c. 0 Solve -33 = 5*r - 53, -r - 1 = -5*a for a. 1 Solve -2*f - 3*s = 372 - 359, -4*f - 17 = -3*s for f. -5 Solve -j = -17*b + 18*b + 3, 0 = -j + 3*b - 3 for j. -3 Solve 0 = 4*y + 12 + 4, 0 = -2*x - 4*y - 18 for x. -1 Solve 4*t + 0*v + 6 = -3*v, 3*v + 6 = -5*t for t. 0 Solve 14 = 2*i + 2*s, -4*i + 4*s = 18 - 6 for i. 2 Solve -2*t + 6 = -4*y, -2*y + 1 = -3*t - 6 for y. -4 Solve -12 = -3*g, 4*h + g + 2*g = -4 for h. -4 Solve 3*r + o = -11, -4*o + 5*o + 1 = -r for r. -5 Solve 2*u - j = -15, -2*j + 50 = -5*u + 3*j for u. -5 Solve 0 = -2*b - 4*n + 16, 4*b + 4*n = 8 + 12 for b. 2 Solve -2*y = 5*w + 23, -3*w = 5*y - y + 11 for y. 1 Solve 4*b = -4*m + 1 - 9, -4*b = m + 14 for m. 2 Solve 5*x + z = 12, -3*z + 6 = 4*x - 8 for x. 2 Solve 0 = n - 5*l + 15, -3 = -4*l + 5 for n. -5 Solve 6*j + 2*f - 15 = 5*j, 0 = -5*j - 2*f + 35 for j. 5 Solve 0*m = -3*m + n + 5, 0 = 4*m - 4*n + 4 for m. 3 Solve 3*a + 13 = -4*s + 5, a + 6 = -3*s for a. 0 Solve 0 = -k - 4*r + 11, 5*r = 3*r + 6 for k. -1 Solve -3*g + 4*n + 10 = 0, 2 = -3*g + 2*g - 4*n for g. 2 Solve -5*a = -4*g - 9, 3*g = -a + 8 + 9 for a. 5 Solve -5*f - 3*i = -5*i - 5, 5*i = 4*f - 21 for f. -1 Solve 3*j - 2*z + 4 = 0, 0 = j + 5*z - 1 + 8 for j. -2 Solve 4*h - 164 + 168 = 2*k, 3*k = -5*h - 5 for k. 0 Solve 4*k + i + 3 = 0, -6*k + 4*k - 5*i + 3 = 0 for k. -1 Solve -n + 3*j = 1, -j + 6 = 4 for n. 5 Solve g + 1 = 2*f, 8*f - 4*f + 3*g - 7 = 0 for f. 1 Solve -d = 5*v + 14, -5*d + 3*v + 13 + 1 = 0 for d. 1 Solve m + 4*n = 21, 0 = -m - 0*m - 3*n + 16 for m. 1 Solve -4*k - 5*j + 7 = 0, -j + 1 = -2 for k. -2 Solve -3*k = k - 4, o - 1 = 2*k for o. 3 Solve -4*g + t = 14 - 38, g = t + 9 for g. 5 Solve -4*l + 5*a = 26, -5*l - a - 2*a - 14 = 0 for l. -4 Solve 0*q = 2*q + 4*m - 14, 5*q = 4*m - 35 for q. -3 Solve d + d = 4*m + 2, 3*d - 1 = 4*m for d. -1 Solve 3*z = -3*f - 21, 5*z + 4*f = -0*z - 30 for z. -2 Solve -2*v + 5 = -2*c - 7, -4*v + 8 = 4*c for v. 4 Solve -2*b = -b - 2*m - 2, 3*m + 13 = 4*b for b. 4 Solve -5*r = -4*v - 19, 5*v - 10 = -528*r + 523*r for r. 3 Solve 20 = 5*f - 31*v + 26*v, -v - 16 = -4*f for f. 4 Solve -3*f - 4 = l, -3*l = f - 9 - 3 for l. 5 Solve 3*h - 12 = 0, 3*j = -h + 10 - 0 for j. 2 Solve -23 = 3*t - 2*f, -3*t - 4*f - 3 = -f for t. -5 Solve 17 = -10*f + 7*f + 5*c, 21 = -5*f + c for f. -4 Solve 2*q = 4*l - 22, 5*q - 15*l + 20*l + 10 = 0 for q. -5 Solve -4*f + 2*s - 6 = 0, 3*f - 4*s + 16 = -f for f. 1 Solve -2*l = -z - 5, 7*z = 3*l + 2*z - 4 for l. 3 Solve 4*n + 9*y - 11 = 12*y, -2*n - 4*y - 22 = 0 for n. -1 Solve 4*z = -4*o + 16, -2*z = -5*o - 30 + 22 for o. 0 Solve 2*g + 3*c - 25 = 0, 7*g = 11*g - 5*c + 5 for g. 5 Solve -17*x - 20 = -15*x + 4*h, -h - 5 = 4*x for x. 0 Solve -7*m + 3 = -8*m + f, -m = -5*f + 7 for m. -2 Solve 3*w - 2 = -2*o, -10*o + 5*w + 4 = -6*o for o. 1 Solve -3*a - 15 = 0, 7*q - 12*q - 5 = 2*a for q. 1 Solve -3*l = 4*w - 10 - 22, -40 = -4*w - 5*l for w. 5 Solve 12 + 13 = -i + 5*d, 5*i - 10 = -2*d for i. 0 Solve -t + 5*o - 8 = 0, -2*t - 2*o - 3 = o for t. -3 Solve 0 = -11*b + 8*b + 5*l - 37, 30 = -5*b + 2*l for b. -4 Solve -2*m - 1 = 3, -2 = -s - m for s. 4 Solve 0 = 2*r, -16 = -4*c - 11*r + 8*r for c. 4 Solve -3*x = -u + 13, -25 = 5*x - 96*u + 91*u for x. -4 Solve 25 = -5*x, -6*z + 2*z + 3*x = -31 for z. 4 Solve -3*j - 4 = 4*u, 0 = 230*j - 233*j - 2*u - 2 for j. 0 Solve 17 = -5*h - 2*g, h = -12*g + 17*g + 2 for h. -3 Solve -3*z - 27 + 11 = 5*c, 16 = -4*c - 4*z for c. -2 Solve 4 = 4*q, -25*h - 14 = -23*h - 4*q for h. -5 Solve -2*h = 4*j - 2*j - 12, 0 = -3*j + 3*h - 12 for j. 1 Solve 0 = 2*p + g + 4*g - 26, 3*g = 2*p + 6 for p. 3 Solve -5*v + 5 = -5*s, -15 + 5 = 5*v for s. -3 Solve r - 4 = -t - 10, 3*t = -2*r - 15 for r. -3 Solve -11 - 4 = 2*b + 5*w, -5 = -5*b - 4*w for b. 5 Solve -2*w = -2*l - 10, -5*w = -358*l + 359*l - 7 for l. -3 Solve 2*h = 12, -3*h = -4*s - 7*h + 20 for s. -1 Solve -4*o - 30 = -5*b, b - 25 = -4*b + 3*o for b. 2 Solve 0 = 5*b - 2*g, 4*b - 2*b = -4*g + 24 for b. 2 Solve -6 = 3*f, 2*f = -4*k + f - 6 for k. -1 Solve -3*t + 4*u + 11 = 0, 5 = 5*t + u + 2 for t. 1 Solve -2*d - 10 = -5*g, -3*d + 8*d - 3*g + 6 = 0 for d. 0 Solve 3*y + 7*v = 2*v - 40, 5 = 3*y - 4*v for y. -5 Solve -3*g - 3*r - 15 = 0, 152*r = -4*g + 154*r + 10 for g. 0 Solve t = -3*t + 2*m - 22, 4*t + 2*m + 2 = 0 for t. -3 Solve -3*n = -4*d + 25, 5*n + 42 = -d + 31 for d. 4 Solve 4*c + 17 = d, -2*c - 6 = 8*d - 6*d for c. -4 Solve 0 = -2*h - 4*a + 4, 9 = -h - a + 11 for h. 2 Solve 0 = f - 5*y + 3, -4*y + y = -4*f + 5 for f. 2 Solve -4*y = 5*w + 7 - 20, y + 2*w - 4 = 0 for y. 2 Solve 2*i + 4*z = 0, -4*z - 116 = -3*i - 126 for i. -2 Solve 4*j - z - 5 = 0, 4*j - 2*z - 4 = -j for j. 2 Solve 4*g + 10 = -24*q + 27*q, -14 = 5*g - 3*q for g. -4 Solve 5*g = 5*d - 25, -5*g + 4*d - 4 = 19 for g. -3 Solve 5*o - 19 = -4*k + 9, 2*k - 20 = -4*o for o. 4 Solve 5*w - 2 = -3*h, -w - 18 = -6*h + 2*h for w. -2 Solve r + p - 13 + 7 = 0, r + 5*p = 22 for r. 2 Solve 0*p + 4*p = 4, 5 = 3*y - p for y. 2 Solve z + 2 = -2*k, 95*k + 2 = 2*z + 96*k for z. 2 Solve n + 3*n - 4*s = 0, n = -s for n. 0 Solve 7*s - y - 1 = 6*s, -8*s + 3 = -3*y for s. 0 Solve 5*z - 33 = -2*b, 25 = -3*z + 4*z + 5*b for z. 5 Solve 3*v - 25 = 8*v, y + 5*v + 24 = 0 for y. 1 Solve -2*n + 3*a - 11 + 28 = 0, -a = 4*n + 1 for n. 1 Solve 2*k + k + 16 = 5*i, 3*k - 24 = -3*i for k. 3 Solve -5*r - 4*i = -19, 3*r = 4*r - 3*i for r. 3 Solve -2 = -2*b + 4*z, 2*z - 13 = -3*b + 3*z for b. 5 Solve -7 = -4*c + 5*x, -2*c - 4 - 3 = x for c. -2 Solve 0 = 2*n + 2*h - 4, 4*h - 338 + 330 = -3*n for n. 0 Solve -4*a + 4*g - 4 = 0, 5*g = -5*a + g + 31 for a. 3 Solve -y + 12 = 5*r, 14*y - 8 = 9*y + r for y. 2 Solve 0*a - 13 = -a - 5*f, 5*a - 19 = -2*f for a. 3 Solve 3*l + 2*x + 17 = 0, -6*l + 7*l + 4*x + 9 = 0 for l. -5 Solve 11 = t - 3*s, 5*t = 4*t - 2*s - 4 for t. 2 Solve 4*u = 8, 0 = -n - u - 0 + 3 for n. 1 Solve 9*q = 5*q - 4*c - 36, -2*c - 12 = q for q. -6 Solve 2*l + 3*p - 15 = 0, 0*l - 4*l - 4*p + 20 = 0 for l. 0 Solve 3*z - 2 = 4*z + c, 5*c = -z - 6 for z. -1 Solve 4*q = -2*t - 8, -5*t + 16 = -23*q + 24*q for t. 4 Solve -3*k - 2*d - 10 - 3 = 0, 5*k + d + 10 = 0 for k. -1 Solve 2*t + 13 = f, -3*t + 2*f = -8*t - 19 for t. -5 Solve -3*z - c - 11 = 0, 4*z + 4 = 2*z - 4*c for z. -4 Solve -3*j - 15 = -2*a, 3*j = 4*a - 15 - 0 for j. -5 Solve 0 = -706*o + 704*o + 2*g - 2, 4*g = 8 for o. 1 Solve -5*a + 25 = 4*v, 3*v - 3*a + 15 = v for v. 0 Solve -3*f + 3 = 0, 0 = 7*w + 23*f - 21*f - 30 for w. 4 Solve 2*g - r + 2 = 1, 0 = -4*g - 5*r + 19 for g. 1 Solve 141*p = -2*i + 140*p - 8, -2 = -p for i. -5 Solve -4*v + 35 = 5*m, 23 = m + 3*v + v for m. 3 Solve -10*d + 7*d - 13 = 2*s, -s = -d + 4 for s. -5 Solve -6*r + 4*s = -r - 22, -4*s - 16 = -2*r for r. 2 Solve -12 = 3*z, -2*z = -7*c + 12*c - 7 for c. 3 Solve -12*l - 32 = -16*l - 4*q, 2*l + 5 = 5*q for l. 5 Solve -3*l - 4*r = -28, 5*r = 2*l + 6*r - 12 for l. 4 Solve -3*z - 15 = 0, 0 = g + 24*z - 23*z + 1 for g. 4 Solve 19*f - 17 = 4*z + 22*f, -3*f = 2*z + 13 for z. -2 Solve 5*w + 17 = 3*h, -h = -w - 4*h + 11 for w. -1 Solve -3*y + 9*v + 8 = 4*v, 32 = -4*y - 4*v for y. -4 Solve 0 = 5*o + 3*s + 5, 35*o - 37*o - 2*s = 2 for o. -1 Solve -4*v + 2*w = -8, 8*v + 9 = 9*v + 3*w for v. 3 Solve h = -3*k - 6, 7*h - 9*h - 4*k - 10 = 0 for h. -3 Solve -3*r - 2*w + 1 = 2, 5*w = 5*r + 35 for r. -3 Solve 8*q - 6*q - 3*o = -15, -2*o + 10 = 2*q for q. 0 Solve 0 = 5*h - 10, 11*h - 6*h + 20 = -5*m for m. -6 Solve 3*m - 35 = -2*m - 3*u, -2*u + 10 = 0 for m. 4 Solve -f - 3*r = -10, 3*f + 5*r - 4*r + 10 = 0 for f. -5 Solve 11*a - 6*a = -2*j - 24, a = j - 2 for a. -4 Solve 4*f = -4*z + 3 - 7, 4*f - 24 = 3*z for f. 3 Solve -4*t = 3*v + 10, -2*t - 5*v + 2 = -0*t for t. -4 Solve -3*v = -2*h + 3, -2*h + 3 = -4*v - 1 for h. 0 Solve 10 = 3*p - 2*v, -5*p + 0*v + 5*v = -15 for p. 4 Solve -w = -x - 1 - 9, 5*x + 3*w + 10 = 0 for x. -5 Solve 0 = -11*c - 3*x - 71, 5*c - 23*x + 28*x = -25 for c. -7 Solve 7*i - 12*i + 15 = 5*u, 4*u + 5*i = 15 for u. 0 Solve -318*a + 316*a - 6 = 0, -4*r - 5*a - 3 = 0 for r. 3 Solve -2*d = -2*a + 6, 39*a = 36*a + d + 1 for a. -1 Solve 7 = 5*p + 3*j - 16, -9 = -2*p - j for p. 4
Let m = 534 + -26701/50. Let x = m - 12/25. Let t = 0.34 + -0.24. Which is the nearest to t? (a) -4 (b) -0.2 (c) x b Let a = 40 - 26. Let w be 4*(a/(-35))/(8/10). Let d be w/((-12)/11) - 2. What is the closest to 1/2 in d, -6, 0? 0 Let n = -1968.735 - 4.265. Let p = 1900.06 + n. Let g = -73 - p. Which is the nearest to g? (a) -2 (b) -5 (c) -2/17 c Let f be 18/63 - (-3)/(63/(-8)). Let s = 315.5 + -316.5. Which is the nearest to 1? (a) s (b) -6 (c) -4 (d) f d Let m = 10877 - 10881. What is the nearest to -1/2 in m, -8, 14/9, 5? 14/9 Let t = -2 + 2.1. Let i be ((-27)/(-297))/((-4)/(-242)). Which is the closest to t? (a) 3 (b) 2 (c) i b Let n be 2/6 - (-4)/(-6). Let f = 1.8 + -1.3. Let z = -8949/49159 - -1/4469. What is the closest to n in 0.4, f, z? z Let r be 7/(-9) + (-2)/(-3). Let u = 236 - 272. Let x = u - -36.1. Which is the closest to x? (a) r (b) 5 (c) -5 a Let x = 5605 + -5605.4. What is the closest to -2 in 2, -2/3, x, 3/7? -2/3 Let w = -66 + 229. Let y = w + -162.9. Which is the closest to y? (a) 4 (b) 0.4 (c) 0.9 b Let p = -947/2 - -1895/4. Which is the closest to 3? (a) p (b) -18 (c) -1/6 a Let p = -5179 + 5181.5. Let m = -1 + 1.2. What is the closest to p in m, 1, -3/2? 1 Let i = -3879 - -3878.5. Which is the closest to 1/5? (a) 0.5 (b) -1/68 (c) i b Suppose -14 = 4*u - 6*u. Let q(r) = -r**3 + 8*r**2 - 6*r - 10. Let i be q(u). Let d = 33 + -29. What is the nearest to i in -0.5, -4, d? -4 Let y(v) be the third derivative of v**5/20 + 19*v**4/12 + 13*v**3/3 + 69*v**2. Let p be y(-12). What is the nearest to 1/3 in p, -3/5, 12? -3/5 Let n(p) = -p**3 + 3*p**2 + 3*p. Let u be n(4). Let t = -0.041 + -2.069. Let x = t - -2.61. What is the closest to u in x, -1/8, -0.5? -0.5 Let r = -40 + 43. Suppose -11*w + 40 = -15*w. Let f = w + 51/5. Which is the closest to f? (a) r (b) -0.4 (c) -4 b Let a = -1435 - -1437. What is the closest to -2/3 in 14, 0.4, 0.07, a? 0.07 Let k = -201/35 + 43/7. Let t = -3.1 - -0.1. Which is the closest to 2? (a) 0.15 (b) k (c) t b Let j = -1 - -3. Let s = -0.5275 - -0.4275. Which is the closest to j? (a) s (b) -3/2 (c) -1/2 a Let v = -4 + 4.3. Suppose 94*n - 71*n + 6 = 20*n. Which is the closest to -4? (a) n (b) v (c) -10 a Let f = 29 + 199. Let q = f - 221. Which is the closest to -2/5? (a) 2/5 (b) q (c) 3 (d) 1/4 d Let j = -13540 + 13535. Which is the closest to -6? (a) -6 (b) 0.1 (c) j a Let z = -18942 - -18942.21. Which is the nearest to z? (a) -3 (b) -1/2 (c) 0.69 c Let i = 342.0056 - 0.0056. Let l = i - 342.4. Which is the closest to -1? (a) 1/15 (b) l (c) -1/9 b Let r = 2 + -1.9. Let g be (-61 - -59 - (-98)/18) + 8/(-18). What is the nearest to r in 0, g, 5? 0 Let w = 37/21 - 3/7. Let b = -1.30555 + 2.30555. What is the nearest to -2/9 in w, b, 2/11? 2/11 Let u = -114 - -114.3. Let m = 433 + -459. What is the nearest to m in u, -1/2, -3? -3 Let z be 1 + ((-96)/51 - -1) - 4185/459. Which is the closest to -11/4? (a) z (b) 2/9 (c) 3 (d) 5 b Let s be 8*(-3)/6 + 3. Let m = 70 - 65. What is the closest to -1/9 in -0.1, m, s? -0.1 Let m be -10 + (1197/42 - 19). Which is the nearest to -1/2? (a) m (b) -39 (c) 4/9 (d) 1/3 a Let o = 31 - 33.7. Let i = 0.3 - o. Let f = -0.256 + -0.244. What is the nearest to 1 in 4, i, f? f Let f = 2248/3 + -750. Suppose -4*o + 2 - 6 = 5*b, -3*o + 32 = -5*b. Suppose o*d = -13 + 5. What is the nearest to f in -1, d, -2/7? -1 Let a = 84170391/368764 + -2/92191. Let y = 227 - a. Let f = 481/964 + 1/964. What is the nearest to -1 in y, f, -2? y Let l = 4.99 + 0.01. Let z be (-1865)/(-1582) + (13 - 261/18). Let t = 4/113 + z. Which is the nearest to -0.2? (a) t (b) 3/8 (c) l a Let x(v) = 2*v**2 + 1953*v - 11798. Let h be x(6). Let r = -0.02 + 3.02. Which is the nearest to -1? (a) 1/6 (b) r (c) h a Suppose -2*n - 3*d - 41 = 3*n, 39 = -3*n + 3*d. Let g be (69 - 73) + (-36)/n. What is the closest to 5/3 in 0.5, g, -2/9, -2/13? 0.5 Let r = 7 - 12. Let t = 0.12755 + 0.37245. Which is the closest to 0? (a) t (b) r (c) 2/75 c Suppose 191*j - 570 - 194 = 0. What is the nearest to 1 in 5, j, -29/5, -0.1? -0.1 Let f = 7321/104 - 920/13. What is the nearest to f in -0.2, 1, -5? -0.2 Suppose 830 - 877 = -72*r - 2063. What is the closest to -0.7 in 1, 2/5, r, -0.1? -0.1 Let u = -13368/7 - -1910. Which is the nearest to -2/3? (a) 0 (b) u (c) -6 (d) 2/3 a Let i be 13 + 10 + (0 - -11 - 33). Let s = 4 - 9. Which is the closest to i? (a) -0.5 (b) s (c) 1.5 c Let s = -329.9706 - 0.0294. Let g = s + 325. Which is the nearest to -0.1? (a) g (b) -0.1 (c) 0.06 b Let l = 1621.7 - 1622. Let t(z) = 5*z**3 - z**2 + 2*z - 1. Let u be t(1). Suppose -7*j + 8 = -9*j. Which is the closest to l? (a) u (b) 0.4 (c) j b Suppose 0 = i + 2 - 7. Let y = -1228 + 730. Let d = y - -496. Which is the closest to d? (a) i (b) 0 (c) -0.4 c Let t = 3830 - 3829.69. What is the closest to 1/5 in 2, -5, t? t Let l(h) = -h**3 + 8*h**2 + 67*h - 523. Let z be l(9). What is the nearest to 0.4 in 0.5, 36, z? 0.5 Let p = -133 - -19. Let o = p - -114.1. Suppose 0 = 2*q + 4*q + 24. What is the closest to o in 0.5, q, -2? 0.5 Let t = -12536 - -12511. Which is the closest to t? (a) 15 (b) -2 (c) -0.4 b Let k be ((-132)/(-154))/((-3)/(-28)) + -8. Which is the closest to -1? (a) k (b) -4 (c) -6 a Let f = -0.785 + 1.685. Which is the nearest to -1/2? (a) 1 (b) f (c) -0.3 (d) -4 c Let w = -233 + 229. Let m = -394 + 393.9. What is the closest to m in -1/5, w, -21? -1/5 Let s = 7984/413393 - -2/4093. Which is the closest to -0.4? (a) s (b) -1 (c) -5 a Let q = -15.9 - -11.2. Let r = q - 0.3. Let d = 2126 + -2129. Which is the nearest to d? (a) -3 (b) -4/5 (c) r a Let m = -619 - -279. Let j = m - -342.3. Which is the nearest to 1/3? (a) 5 (b) j (c) -0.2 (d) -2 c Suppose 21 = 3*k - 117*y + 113*y, 0 = 4*y + 24. What is the nearest to k in -4, 0.12, 51? 0.12 Let o(m) = 3*m**3 - 5*m**2 - 4*m - 7. Let k be 96/(-240) + 34/10. Let f be o(k). What is the closest to f in 4/3, -2, -3, 0.4? 4/3 Let h = 3330.5 + -3330. Which is the closest to -38/3? (a) 3/2 (b) h (c) 5 (d) -4 d Let r = -0.649 - 548.351. Let t = -478.1 - r. Let c = -71 + t. What is the closest to c in -1, -7/5, 5? -1 Let y = -1750.4 - -1439. Let w = -311 - y. What is the closest to -1 in -3/7, w, -0.4? -3/7 Let o(i) = -2*i**2 + 45*i + 33. Let s be o(23). Let h be (2 - (-56)/(-30)) + (-8)/s. Which is the closest to 0? (a) h (b) 6 (c) -2 (d) 9 a Let h be (3 - 0 - -21)/(-223 - -225). Let z be (-6)/(-4) + 2/(-2). What is the closest to z in 1, h, -4, -2/19? 1 Let q = -147 + 146.54. Let j = q - -0.46. Which is the closest to j? (a) -3 (b) -3/4 (c) -0.4 (d) 1/8 d Let n = 0.212 - -32.988. Let u = 36.2 - n. Which is the closest to -2/5? (a) -0.21 (b) -2 (c) u a Let l = -28/47 - -346/423. What is the nearest to 1 in 0.5, 2, l, 115? 0.5 Suppose 4*l = 3*l - 3*m + 23, 0 = -11*m + 88. Which is the nearest to 1? (a) l (b) -1/4 (c) 7 (d) 160 b Let f = 2.5806 - 2.6106. What is the nearest to 0.1 in -71/4, 1, f? f Let m = -0.205 - -0.14. Let g = 2.065 + m. What is the nearest to 1 in -2/11, g, -1/2? g Let m = -0.9 - -0.5. Let x = -0.35648 + 0.25648. Which is the nearest to 5? (a) -0.5 (b) x (c) m b Let p = 0.0760421 + -0.0760421. Suppose -5*j + 27 + 13 = 0. Which is the nearest to 0.1? (a) p (b) -3 (c) 2/3 (d) j a Let d be (-32 - (-7 + 4 - 1)) + -8. Suppose -4 = -2*j + 4*j. Which is the closest to j? (a) -4 (b) d (c) -1/8 c Let l = 1/674 + -339/1348. Which is the nearest to 2/79? (a) -2/5 (b) l (c) 5 b Let k(l) = l**2 - 58 - 3*l - 3*l + 16*l. Let w be k(-14). Let d = 1/27 - -79/54. Which is the nearest to d? (a) -0.5 (b) w (c) 0.2 c Let q be (-2)/10*6*43/(-86). Suppose 5*m - 2*c + c = 131, -m - 3*c = -39. Let k be -1 + -3*(-11)/m. What is the closest to q in -0.1, k, 4? k Suppose 5*d - g = -4*g + 43, -d - 4*g + 29 = 0. Which is the closest to 13? (a) d (b) -3 (c) 0.4 a Let l = 6.26 + -6.36. Let p = -3.8 - -5.8. Which is the closest to p? (a) 0 (b) l (c) 2/3 c Let o = 0.541 + -4.091. Let v = -7.55 - o. Which is the closest to -1? (a) -0.09 (b) 3 (c) v a Let n = -1.71 + 6.41. Let x = n - 7.7. Which is the nearest to -1/9? (a) -2/7 (b) x (c) -0.2 c Let q = 120 + -119.494. Let m = q - 5.506. What is the closest to 0 in 3, -1/3, m? -1/3 Let w = 8.04 - 7.64. Which is the nearest to 2? (a) -2/7 (b) 0.038 (c) w c Let p(s) = -19*s**3 - 1237*s**2 - 131*s - 43. Let o be p(-65). Let q = -3 + 1. Which is the nearest to 0? (a) q (b) -2/13 (c) o (d) 0 d
Let y = -193/3 - -1897/30. Calculate the common denominator of 237/168 - ((-2)/10)/((-112)/(-140)) and y. 280 Let b be 218/((-7)/14 - 3/6). Find the common denominator of b/77 - -4 - 6/(-21) and -47/5. 55 Suppose -11*r + 16 = -28. Suppose v - 4*w - 46 = -2*v, r*v + 3*w - 53 = 0. Calculate the lowest common multiple of 49 and v. 98 Let l(d) = d**3 + 7*d**2 - 9*d - 2. Let w be l(-8). Let x = -7 - w. Let f(u) = -u**2 - 13*u + 7. What is the lowest common multiple of f(x) and 8? 56 Suppose -3*v - 4*k = 57, -8*v + 5*k + 90 = -13*v. Let t(g) = -g**2 + 8*g - 7. Let a be t(7). What is the smallest common multiple of 30 and v*((a - -1) + -3)? 30 Suppose -2*w - 3*j - 575 = 2*w, 0 = 5*j + 25. Let f = -71641/9 - -7952. Calculate the common denominator of f and 2 + w/(-6)*1. 9 Let s = -1494637/1653756 + -2/31803. What is the common denominator of 41/364 and s? 364 Let b = 791/17 + -2485/102. Let x be (-695)/160*6*52/5. Let v = 271 + x. Calculate the common denominator of v and b. 60 Suppose -4*l = -l - 0*l. Suppose -20*x + 15*x + 15 = l. Let p = -105 + 107. Calculate the lowest common multiple of x and p. 6 Let i be 24/(-4) - (-7368)/1168. Let m = i + -5947/584. What is the common denominator of m and -79/132? 264 Suppose 0*p + 1360 = -16*p. Let g = p - -40. Calculate the smallest common multiple of 72 and (-6)/(-1)*(-120)/g. 144 Let z = 724739/12914595 + -16/13383. Find the common denominator of -49 and z. 965 Suppose 2*l = 10*x - 16706, -20*l = -x - 24*l + 1700. Calculate the smallest common multiple of x and 760. 8360 Let b = -203 - -233. Find the common denominator of 44/15 and (13/2)/(b/(-70) + 0). 30 Let j be 0 + (-1 - (1 - 2)). Suppose j = -4*w - 46 + 78. What is the smallest common multiple of w and 110? 440 Let p(u) = 6*u**2 + 179*u - 319. Calculate the lowest common multiple of 513 and p(-43). 3078 Let n be 63/(-45)*(-31)/4. Let k = -29/4 + n. Let j = -7175/202 - -2/101. Calculate the common denominator of k and j. 10 Let f = -357/38 - -4442/399. Let w = 58765 + -2467985/42. Find the common denominator of f and w. 42 Let i = 18143/6 - 3028. What is the common denominator of i and 83/273? 546 Let i = 11 + 74. Let j = 103 - i. Calculate the least common multiple of 8 and j. 72 Let d(f) = 134*f**2 - 2*f. Let j be d(1). Let x = 2223/5 + -447. What is the common denominator of x and (-1)/2 + (702/j - 5)? 55 Suppose -6*u - 44 = -105 + 49. What is the least common multiple of u and 28? 28 Calculate the common denominator of -91/40 and -16 - 3*(-3265)/608. 3040 Let k be -1 + 9 - (-14)/(-84)*30. Calculate the lowest common multiple of 70 + (k - -2) + -3 and 27. 216 Suppose 2*u + 2 = u, -56 = -3*n + 4*u. What is the lowest common multiple of 18/(-48) - 54/(-16) and n? 48 Suppose 0 = -5*w - 5 - 10. Let j(f) = -39*f + 9. Let g be j(w). Suppose -6*h + g = -6. Calculate the lowest common multiple of h and 2. 22 Let b(i) = i**3 - 8*i**2 - 8*i - 6. Let j be b(9). Suppose -2*h - 174 = -f, -13*f + j*h + 706 = -9*f. What is the least common multiple of f and 22? 1958 Let k = 24932 - 24344. Calculate the lowest common multiple of 15 and k. 2940 Suppose -45 = 4*a + 59. Let p be (-1190)/(-30) - 4/6. Let c = a + p. What is the least common multiple of 10 and c? 130 Let o(u) = 4699*u**3 + 35*u**2 - 30*u - 6. What is the smallest common multiple of 108 and o(1)? 9396 Let z = -278/551 + 422811/771400. Find the common denominator of 24/49 and z. 9800 Let p = -14/2955 - -126739/25711455. Let f = -34714/226652349 + p. Let v = -981191/312588 + f. Calculate the common denominator of v and -93/16. 144 Let r = 4625 + -4529. Calculate the smallest common multiple of r and 102. 1632 Let x(p) = 1153*p + 11. Let l be x(-1). Calculate the lowest common multiple of l/(-20) + 49/(-490) and 3. 57 Let x = 121 + -95. Let k = 28 - x. What is the least common multiple of k and 37? 74 Let p be 6034/26460 + (-4 - -2). Let s = p + 328/105. What is the common denominator of -65/102 and s? 918 Let n(h) = 9*h + 533. What is the smallest common multiple of 24 and n(23)? 4440 Suppose 59*b = 62*b - 6. Let y(q) = 48*q - 21. Let g be y(b). Let f = g + -65. Calculate the lowest common multiple of f and 30. 30 Let r(p) = -p**2 - 38*p - 121. Suppose -299 = 2*c - 5*g - 740, c - 237 = -3*g. Find the common denominator of r(-34) and c/(-160) + (-2)/10. 8 Let g(w) = w**2 - 8*w - 1. Let b be g(9). Find the common denominator of 4 - 45/(-6)*b/(-25) and 39/(-18)*(-2)/3. 45 Suppose 14*k - 306 = -96. Find the common denominator of 101/28 and (2108/(-170))/(112/k). 56 Let q = 79389/262 + -303. What is the common denominator of q and 92/8 - (31 + -39)? 262 Let s = -8043 - -64247/8. Find the common denominator of s and 119/192. 192 Suppose 3*f - 23 = 34. Suppose 14 = -3*w + 4*x, x + 2*x = -2*w + f. Calculate the smallest common multiple of 0 + 4/w - (40 + -39) and 6. 6 Let s be 2 - 2 - (-29809)/(-3012). Let l be (-567)/3263 + 36/234. Let w = s + l. What is the common denominator of w and 45/44? 132 Let v be 1*8 + (-147)/21. What is the common denominator of (v - -1)/(-8)*(38 - -59) and 95/68? 68 Let k = 2633132820 - 33477650656075/12714. Let a = 7/1956 - k. Calculate the common denominator of a and 117/10. 260 Calculate the lowest common multiple of 1796/1 - (358 + -346) and 669. 5352 Let d = -9739 - -12329. Calculate the least common multiple of d and 1554. 7770 What is the least common multiple of 20 and (-3 - 2)/15 + 8408/6 + -1? 1400 Find the common denominator of -5/14 and 4 - 4425/16920*15. 2632 What is the least common multiple of 3 and 9 + 0 + (-32005)/(-37)? 2622 Suppose -115*n - 1 = -116*n. What is the smallest common multiple of 5*((-5 - -5) + 4) and n? 20 What is the common denominator of (6 - 51/8) + (-2151)/(-16200) and -57/550? 4950 Suppose 3*q - 2*r - 14080 = 0, -9424 = -10*q + 8*q - 4*r. What is the least common multiple of q and 9? 4698 Suppose -21*d = -14*d + 7. Suppose -2*s = -13 + 1. Let f = s + d. Find the common denominator of 17/6 and f. 6 Let x = 34 - 102. Calculate the smallest common multiple of 2 and (-70)/(-9) + x/(-306). 8 Let o = -7031/7000 + 29/500. Find the common denominator of 103/536 and o. 3752 Find the common denominator of -21/1010 and 12920/(-19695) + (-156)/(-234). 13130 Let s = 566/21 - 200/7. Let v = 5506 - 2346. Let q = v + -104296/33. What is the common denominator of s and q? 231 Find the common denominator of (10/1488)/((-544)/3468) and 119/1488. 5952 Suppose -z = 2*y - 3*z - 290, 0 = 5*y - 4*z - 722. Let t = y - 427/3. Find the common denominator of t and 17/29. 87 Let m be ((-13)/(-4) + -4)*264. What is the common denominator of 489/m + (-18 - -19) and 133/6? 66 Let m(q) = -17*q**2 - 3*q + 2. Let p be m(-3). Let w be (-1)/5 + (-54)/30. What is the common denominator of p/35 + 66/30 + w and 57/16? 112 Let v = 4164 + -3900. What is the smallest common multiple of 128 and v? 4224 Let a = -87 + 60. Suppose 5*g - 2*v = -0*v - 227, 3*v = -3*g - 132. What is the common denominator of (-310)/g*(-3)/4 and a? 6 Let d be 184701/180 - 18/6. Let a = d + -5113/5. What is the common denominator of -61/2 and a? 60 Let r = 36103 + -22874. Let s = r + -8832. Let v = -48316/11 + s. Find the common denominator of -145/36 and v. 396 Let l be (-3)/2 + 11/2. Let a be l/(-12) - (-23738)/360. Let g = a - 536/9. Calculate the common denominator of 11/72 and g. 360 Let q = 20090 - 1767883/88. Let j = -140709 - -4643417/33. Calculate the common denominator of j and q. 264 Find the common denominator of 31/18 and 3305/(-144) + (-184)/(-8). 144 Suppose k - 51 = -2*k + 5*i, 25 = k + i. Suppose -3*d = -m + k, 0*m - m = 5*d - 6. What is the smallest common multiple of 72 and m? 144 Calculate the least common multiple of (-196009)/(-519) - 4/(-12) and 231. 4158 Let w be (-26)/143 + (-48)/(-22). Suppose -5*a - 11 = 2*u, -4*u + w = -5*u + a. What is the least common multiple of (u + 4)*-1*-6 and 9? 18 Let o = -3933 - -39229/10. Calculate the common denominator of (-74)/560 + 4/(0 - 28) and o. 40 Let r = -4750/33 + 115067/792. Let i = -30368 + 3006482/99. Find the common denominator of i and r. 792 Let u = 230551513/888 + -259630. What is the common denominator of -13/126 and u? 18648 What is the common denominator of 292/(-56)*(-18)/180 and 71/196? 980 Let t = 77 - 65. Suppose 5724 = 15*a + 91*a. What is the lowest common multiple of a and t? 108 Let b = 198307160/179 + -16781930945465/15148054. Let k be (-3)/1 + 13358/4454. Let w = k + b. Calculate the common denominator of -31/8 and w. 152
0.01613533 + -2 -1.98386467 13+-16431 -16418 Calculate -25546 - 1.04. -25547.04 Add 0.1 and -183272. -183271.9 Subtract 0.2 from -10.52. -10.72 Total of 1 and -486896. -486895 Work out 4.747 + -0.2. 4.547 What is -6 take away 20? -26 What is 0.0494 less than -5? -5.0494 What is the difference between -2062 and -3? 2059 Add 1470 and 0.5. 1470.5 What is the difference between -5 and -0.4168? 4.5832 Calculate 0.09 - 122.38. -122.29 Subtract -598 from 0. 598 -0.1814+4 3.8186 What is the distance between -0.057 and 81.4? 81.457 -76440+-3 -76443 What is 36019 take away -0.07? 36019.07 What is 0.3 plus 221480? 221480.3 Sum 6.3 and 17. 23.3 What is -39740 take away 1? -39741 What is the difference between 0.07 and -7.4343? 7.5043 Subtract 6 from -0.06371. -6.06371 What is -0.13 plus -250? -250.13 Calculate 0.3 - -1.716215. 2.016215 Add 0.023 and 1.42. 1.443 3884 - -2.54 3886.54 Subtract 45 from -69. -114 -0.09 - -5873 5872.91 What is 1279.24 take away -0.3? 1279.54 Calculate -8.3 - -0.5. -7.8 What is -0.0363 - -639? 638.9637 Calculate 145.3 - 276. -130.7 What is 7 minus -1281? 1288 Sum -6 and -8445.3. -8451.3 Subtract 26496 from -0.197. -26496.197 What is -2.34 minus 0.273? -2.613 -0.3+-264544 -264544.3 -3 - 2871488 -2871491 What is -0.2 less than 1349503? 1349503.2 What is 13.076 take away -2? 15.076 Work out 942.8 + -9. 933.8 Add together 0.0577299 and 0.5. 0.5577299 Put together -102 and -30. -132 What is the difference between 47 and -30504? 30551 What is 190 - -17.64? 207.64 Sum 0.109225 and -4.3. -4.190775 What is 4 minus 812? -808 Add together 1.937 and 82. 83.937 Total of -2235 and -0.008. -2235.008 Total of -25 and -0.07034. -25.07034 Work out -3 - 44594. -44597 Add -115331 and 4. -115327 What is the distance between -32 and 37952? 37984 Calculate -0.03 + -0.228. -0.258 What is 0.28 minus -0.8? 1.08 Work out -0.3 + -59242. -59242.3 What is the difference between -394 and -0.2? 393.8 Add 0.4 and -655. -654.6 Total of -4 and 64213. 64209 What is 0.107 take away 183? -182.893 -645.71+0.9 -644.81 What is 1 take away 0.958? 0.042 Sum 0 and 2185. 2185 Subtract -77 from -5357. -5280 Work out 5250 - -1.08. 5251.08 Calculate -30629 - 4.4. -30633.4 What is 3 plus 5862.95? 5865.95 -0.78644 - -0.2 -0.58644 Add -33 and -0.173371. -33.173371 What is 0.5 minus -0.12478? 0.62478 Total of 1 and -7.93897. -6.93897 What is 0.1 - 854? -853.9 What is -2380 take away 30.6? -2410.6 Sum 2243339 and 4. 2243343 Put together -119 and 3.5. -115.5 What is -632 minus -1346? 714 Subtract 58735 from -2.6. -58737.6 Work out 1 - 4400. -4399 What is -0.4 less than 177304? 177304.4 -140380+-5 -140385 36418.91 - 0.5 36418.41 Sum -0.1 and 2549582. 2549581.9 What is the distance between 3 and 15023? 15020 1.04 - -9 10.04 What is -42 plus 117? 75 What is 10204 + 0.16? 10204.16 Work out 281 + 0.42. 281.42 What is -4 minus -0.1242? -3.8758 Calculate 0.2 - -110. 110.2 Total of -11 and -9279. -9290 Total of 0.8064 and -20. -19.1936 Work out -554.1 - 0.4. -554.5 Sum 41 and -223. -182 What is the difference between 0.1132 and 1.3? 1.1868 What is the distance between 1.18935 and -6? 7.18935 What is the distance between -28 and 0.3013? 28.3013 What is -0.00227 - -33? 32.99773 Work out -1.2 + 94299. 94297.8 Work out -2.87568 - 3. -5.87568 What is -0.88236 + 17.5? 16.61764 Put together -2982040 and 2. -2982038 -642500 + 0.1 -642499.9 0.3+310 310.3 What is -5 minus 1401.8? -1406.8 What is 22 take away 13? 9 Work out -12508 - 1.5. -12509.5 1560 + 0 1560 What is 25935 less than 0.186? -25934.814 Put together -20 and -0.18. -20.18 0.2723 - 0.5 -0.2277 Subtract -17.809 from 75. 92.809 Work out -399 + 10.1. -388.9 What is the distance between -10157 and 5? 10162 0.1 + -2408 -2407.9 1+1300 1301 What is the difference between -4 and 142086? 142090 Work out 859 + -0.9. 858.1 Calculate 1.968 + -288. -286.032 Add together 47 and 2171.1. 2218.1 -9073 + -1.33 -9074.33 Total of 120504 and -2. 120502 Calculate 0.5 - 714. -713.5 What is the difference between 1.117 and 0.2? 0.917 What is -0.9 minus 418? -418.9 What is 1 - 385.9? -384.9 What is the difference between 0.1 and 0.0577896? 0.0422104 Add together -257.6 and 6. -251.6 Work out -35 - -126.933. 91.933 -1+-585.399 -586.399 What is 0.5 less than -48699? -48699.5 3 + -63008 -63005 Sum 0.03 and -9476. -9475.97 Work out 5 - 909. -904 What is 0.5 + 179? 179.5 2024207 - -0.2 2024207.2 Add together -10.346 and 0.6. -9.746 Put together -3.67 and -0.02. -3.69 What is -0.4 minus -1529847? 1529846.6 Calculate -22835 + -0.06. -22835.06 Add together -5 and -237175. -237180 Work out -845643 - 0.08. -845643.08 Calculate -39461 + -24. -39485 Add 0.047106 and -4. -3.952894 Add together 0.3 and -1657.075. -1656.775 Calculate -23 + 108. 85 Total of 63 and 0.1. 63.1 What is 0.5 + 10.01? 10.51 2 + 10990 10992 What is -0.17 plus -317? -317.17 What is 4 take away 637253? -637249 What is -0.2 - 151.316? -151.516 2.49 + -137.7 -135.21 What is 0.1 plus 22.82? 22.92 13.799 + -1 12.799 What is 154.1 plus 0.5? 154.6 0.1 + -126.684 -126.584 What is 0.5 + -0.28395? 0.21605 What is -1.56 take away 1.2? -2.76 Subtract 30.332 from 4.2. -26.132 Work out 471 - -115. 586 Total of -1.1 and -4406. -4407.1 Put together 41.9 and 0.022. 41.922 What is -2.64 less than 26? 28.64 What is 0.117 - 0.20787? -0.09087 Put together -0.5729 and 2.9. 2.3271 Add together 40.3357 and 0.4. 40.7357 Sum 2028 and 0.56. 2028.56 What is 73 + 13.592? 86.592 Subtract -966 from -4. 962 Add together -885 and -3. -888 What is the distance between -4 and -207.1728? 203.1728 What is 759 less than 0.237? -758.763 What is -3.5 minus -2106? 2102.5 What is -0.0407 plus 424? 423.9593 Sum -92 and -85.14. -177.14 What is -20 less than 5228.8? 5248.8 Calculate -0.25 + -119336. -119336.25 What is 148 - -0.31? 148.31 6587+-2 6585 Total of -7.5 and -0.145. -7.645 -3 - 131857 -131860 Add 60 and 27. 87 Work out -0.0643 + -24.4. -24.4643 Sum -0.019 and 185. 184.981 1872 - -0.2 1872.2 What is -1.9362 plus -1.67? -3.6062 Calculate 2.1 - -35.3. 37.4 What is 947860 - 2? 947858 What is the distance between -0.0087 and 87? 87.0087 What is -724.14 + 3? -721.14 93 + 5703 5796 What is -3 less than 1027.1? 1030.1 -0.1 + -0.52 -0.62 -13+1.02 -11.98 -682755 + -0.3 -682755.3 Total of -47 and 47516. 47469 Put together 9.313 and -9.4. -0.087 Work out 1504.85 + 0.5. 1505.35 Add together -0.051 and -7.463. -7.514 Work out 0.6329 + -0.721. -0.0881 Total of -57 and 320. 263 Add -427.4 and 1. -426.4 Calculate 0.1 - 1.005. -0.905 Add -4994 and -20. -5014 What is -6163 minus 0.1? -6163.1 Subtract 0.659 from 4.6. 3.941 Put together -4.95 and -3. -7.95 Add -27 and 0.10289. -26.89711 Work out -0.5 - 13174.5. -13175 Calculate 124 - -0.01. 124.01 What is 492 less than 1? -491 What is the distance between 0.76 and 0.03931? 0.72069 Subtract 0.5 from -42117. -42117.5 What is -3 less than -2771553? -2771550 -13.4 - 4622 -4635.4 0.5 + 432 432.5 Work out -3 + -10.587. -13.587 Total of -3 and -3. -6 What is 9173 minus -0.04? 9173.04 Calculate -1751982 - 0.4. -1751982.4 Sum -5 and -63799. -63804 Calculate -45817 - 0.5. -45817.5 Add together -283195 and 0.5. -283194.5 Work out -2 + 393.8. 391.8 Sum -1.08 and 5123. 5121.92 What is -1917.5 take away 1.14? -1918.64 What is the distance between 0.5 and 0.0515? 0.4485 -0.046+-876 -876.046 What is 1 - -445? 446 -1 - 2309.675 -2310.675 What is -88 less than -0.071? 87.929 2+-0.773 1.227 Calculate -0.02169 - -1.5. 1.47831 What is the difference between 0.1 and 195? 194.9 Sum -227 and -1.9594. -228.9594 Add together 127 and 341. 468 -5 - -0.885 -4.115 What is 48.3 - 3.5? 44.8 Work out 0.02 + 716. 716.02 What is -1.29 take away 3.4? -4.69 What is the distance between 0.06 and 35.1? 35.04 What is -0.2 less than -4.81? -4.61 What is 225.3 less than 0? -225.3 What is -2166 plus -0.032? -2166.032 Work out 0.3 - -7814.1. 7814.4 What is 6 take away 1.1? 4.9 0.08 + -144593 -144592.92 What is -3 + -284196.3? -284199.3 What is 1.201 plus 0.23? 1.431 Calculate -1 + -228705. -228706 What is 2963 less than 5.6? -2957.4 Add -4 and -0.08277. -4.08277 What is -17293 + -5.9? -17298.9 Calculate 35 + 554. 589 Calculate -1.98 - -1460. 1458.02 Calculate -5 - 0.99221. -5.99221 What is -6649 minus -82? -6567 What is 137 minus 0.17? 136.83 What is -30292 less than 7? 30299 -23117 + -25 -23142 Calculate 35225 + -2.2. 35222.8 Work out 9549 + -4. 9545 Work out 1524 + -2.81. 1521.19 What is -0.1 + -845.3? -845.4 What is -49 minus -6.86? -42.14 What is 1.2001 - 0.5? 0.7001 Work out 0.8 + -392. -391.2 Work out 113 + 0.045903. 113.045903 -3286+-20 -3306 What is -0.44 + 15? 14.56 0.28 - 51695 -51694.72 What is 34 plus -6531? -6497 -85.3 - 45 -130.3 Subtract 0.02 from -232.654. -232.674 Put together 2 and 22.915. 24.915 What is the difference between -1246489 and 5? 1246494 What is 0.04 + 30? 30.04
Four letters picked without replacement from rkrkrwwwrgrk. Give prob of sequence gwww. 1/1980 What is prob of sequence lx when two letters picked without replacement from {l: 11, x: 5}? 11/48 Two letters picked without replacement from jjfjejjjjjjjjjjjjj. What is prob of sequence jf? 8/153 Three letters picked without replacement from {r: 3, u: 5, f: 5, a: 3, j: 2}. Give prob of sequence fff. 5/408 Calculate prob of sequence sads when four letters picked without replacement from sddsddbdddaaasaaad. 1/255 What is prob of sequence npi when three letters picked without replacement from dtdddpnddwddwpdpdi? 1/1632 Calculate prob of sequence vnpe when four letters picked without replacement from pnnnpvnnpe. 1/336 Four letters picked without replacement from cccrcrr. What is prob of sequence ccrr? 3/35 What is prob of sequence vev when three letters picked without replacement from {e: 2, y: 1, o: 1, v: 3}? 2/35 Two letters picked without replacement from tjlyjqw. Give prob of sequence wt. 1/42 What is prob of sequence rrk when three letters picked without replacement from rrkrrrrrrrrsrrrrrrr? 8/171 What is prob of sequence ddpb when four letters picked without replacement from {b: 1, d: 7, p: 4, o: 2}? 1/143 What is prob of sequence zzn when three letters picked without replacement from nzxxznngxgnxtpnx? 1/336 Calculate prob of sequence iff when three letters picked without replacement from eeqiffqm. 1/168 What is prob of sequence ssz when three letters picked without replacement from {s: 2, w: 1, t: 1, j: 1, z: 2}? 2/105 What is prob of sequence nxnh when four letters picked without replacement from {h: 2, x: 7, n: 2}? 7/1980 Four letters picked without replacement from mjxmxmxmxxxjxxjjjjxx. Give prob of sequence xxmm. 3/323 Calculate prob of sequence mggg when four letters picked without replacement from gmmgmgmgmmgggmmm. 9/208 Calculate prob of sequence xot when three letters picked without replacement from xoxxpoftx. 1/63 What is prob of sequence zg when two letters picked without replacement from zzzzzzzgzzgpqggzqzz? 8/57 Two letters picked without replacement from nkskts. What is prob of sequence sn? 1/15 Calculate prob of sequence appr when four letters picked without replacement from pppprppanpppadpp. 11/2184 Three letters picked without replacement from {t: 7, u: 1, g: 2, o: 2}. What is prob of sequence ouo? 1/660 Calculate prob of sequence cy when two letters picked without replacement from {r: 5, y: 4, d: 1, c: 5}. 2/21 Three letters picked without replacement from {g: 6, f: 7, w: 1}. What is prob of sequence gfw? 1/52 Calculate prob of sequence df when two letters picked without replacement from xxqpdfqfqqqx. 1/66 Three letters picked without replacement from {r: 2, v: 1, i: 4, e: 1}. What is prob of sequence erv? 1/168 Two letters picked without replacement from xxxxxxxxx. What is prob of sequence xx? 1 Two letters picked without replacement from {y: 3, j: 5}. What is prob of sequence jj? 5/14 Three letters picked without replacement from eqqsissqssps. Give prob of sequence sps. 1/44 Calculate prob of sequence nnt when three letters picked without replacement from njjnnjtnjjnjt. 10/429 Calculate prob of sequence qvqv when four letters picked without replacement from {q: 6, y: 1, v: 3, b: 1, o: 1}. 1/66 Calculate prob of sequence yxy when three letters picked without replacement from {x: 4, z: 9, y: 4}. 1/85 Calculate prob of sequence iitt when four letters picked without replacement from {t: 3, g: 1, i: 5}. 5/126 Calculate prob of sequence beeb when four letters picked without replacement from {e: 2, b: 7}. 1/36 Calculate prob of sequence en when two letters picked without replacement from {h: 2, e: 4, v: 1, p: 2, n: 1, m: 2}. 1/33 Three letters picked without replacement from {g: 2, f: 1, e: 4, z: 4}. Give prob of sequence zgg. 4/495 Calculate prob of sequence xpv when three letters picked without replacement from {x: 3, v: 1, u: 1, f: 9, r: 3, p: 2}. 1/969 Two letters picked without replacement from {j: 4, z: 3, q: 1, c: 1, x: 4}. Give prob of sequence jc. 1/39 Three letters picked without replacement from {k: 5, i: 4, r: 1, y: 1, x: 3, h: 6}. Give prob of sequence xxr. 1/1140 What is prob of sequence tzlt when four letters picked without replacement from {l: 5, t: 4, z: 3}? 1/66 Two letters picked without replacement from {l: 1, z: 4, b: 12, i: 3}. Give prob of sequence zl. 1/95 Two letters picked without replacement from {b: 9, t: 2}. What is prob of sequence bt? 9/55 What is prob of sequence cnc when three letters picked without replacement from {v: 1, q: 1, j: 5, n: 1, c: 2}? 1/360 Three letters picked without replacement from ianiwwnanniiiiwmiw. Give prob of sequence wwm. 1/408 What is prob of sequence gmg when three letters picked without replacement from {g: 1, r: 5, m: 4}? 0 What is prob of sequence kyky when four letters picked without replacement from yyykkk? 1/10 What is prob of sequence mp when two letters picked without replacement from qqqpgmqqgqgggqgqq? 1/272 What is prob of sequence dj when two letters picked without replacement from {s: 4, g: 1, d: 12, j: 3}? 9/95 What is prob of sequence xqq when three letters picked without replacement from {q: 3, l: 1, n: 1, x: 3, d: 3}? 1/55 Calculate prob of sequence aah when three letters picked without replacement from hhhaafaaaqat. 3/44 Three letters picked without replacement from iyyiyyiyyiyiy. What is prob of sequence iyy? 70/429 What is prob of sequence ee when two letters picked without replacement from {a: 9, e: 7}? 7/40 Three letters picked without replacement from uwcuyuxuuyuxuh. What is prob of sequence yhx? 1/546 Three letters picked without replacement from {s: 6, z: 1, l: 1, e: 1}. Give prob of sequence szl. 1/84 Two letters picked without replacement from febok. Give prob of sequence be. 1/20 Four letters picked without replacement from {x: 6, p: 1, k: 8}. Give prob of sequence xkxp. 2/273 Three letters picked without replacement from {q: 1, t: 2, d: 1, i: 1}. What is prob of sequence qdi? 1/60 What is prob of sequence sq when two letters picked without replacement from {f: 1, z: 1, s: 1, q: 1, v: 1}? 1/20 Two letters picked without replacement from aajxuuujvqj. Give prob of sequence ax. 1/55 What is prob of sequence ds when two letters picked without replacement from {d: 3, s: 2, j: 3}? 3/28 Three letters picked without replacement from tftfk. Give prob of sequence ttf. 1/15 Calculate prob of sequence imi when three letters picked without replacement from mmmmmimmmimmii. 5/91 What is prob of sequence eo when two letters picked without replacement from {e: 1, o: 19}? 1/20 What is prob of sequence jzsz when four letters picked without replacement from jjjsjrrjjzrrrjzjjjsj? 11/29070 Calculate prob of sequence wq when two letters picked without replacement from {m: 2, x: 3, q: 1, w: 1, n: 2, a: 6}. 1/210 Two letters picked without replacement from nusisajnu. What is prob of sequence ij? 1/72 Three letters picked without replacement from lodllko. Give prob of sequence llk. 1/35 Two letters picked without replacement from qvsvsqsviissmqsm. What is prob of sequence iv? 1/40 What is prob of sequence ik when two letters picked without replacement from {k: 3, i: 7}? 7/30 Calculate prob of sequence hbm when three letters picked without replacement from {m: 10, b: 1, z: 1, h: 5}. 5/408 Two letters picked without replacement from hrlhlrwpwwprl. Give prob of sequence hl. 1/26 Three letters picked without replacement from {k: 2, g: 5, d: 3, a: 3, f: 2}. What is prob of sequence ggg? 2/91 Four letters picked without replacement from ddddddd. What is prob of sequence dddd? 1 Calculate prob of sequence sla when three letters picked without replacement from lawavst. 1/105 What is prob of sequence zc when two letters picked without replacement from bcvze? 1/20 What is prob of sequence ud when two letters picked without replacement from {f: 1, w: 2, u: 4, d: 6}? 2/13 What is prob of sequence jjr when three letters picked without replacement from {w: 1, j: 2, r: 1}? 1/12 Four letters picked without replacement from gvwsswvggggwv. What is prob of sequence sggv? 1/143 Two letters picked without replacement from {s: 1, c: 1, k: 1}. Give prob of sequence ks. 1/6 What is prob of sequence yb when two letters picked without replacement from {h: 1, b: 1, w: 2, y: 1}? 1/20 Calculate prob of sequence dzdd when four letters picked without replacement from zzddzdzdzd. 5/84
Round 210550.5 to the nearest ten thousand. 210000 What is -2072500 rounded to the nearest 1000000? -2000000 What is 2.1770682 rounded to one decimal place? 2.2 What is -4222695.6 rounded to the nearest 1000000? -4000000 What is 0.000407184 rounded to six dps? 0.000407 What is -0.0001359263 rounded to five dps? -0.00014 What is -23.5394 rounded to one dp? -23.5 What is 0.0446344 rounded to two decimal places? 0.04 Round 0.000482978 to four dps. 0.0005 Round 99159.63 to the nearest 10. 99160 What is -0.00009847842 rounded to 5 decimal places? -0.0001 Round -17.87056 to the nearest 10. -20 Round -1860419 to the nearest ten thousand. -1860000 What is 0.008598782 rounded to 3 decimal places? 0.009 What is 0.009103698 rounded to 5 decimal places? 0.0091 Round -15122580 to the nearest 10000. -15120000 What is 0.0395698 rounded to three decimal places? 0.04 Round 10779.529 to the nearest one hundred. 10800 Round -805971000 to the nearest 1000000. -806000000 Round -2864.8829 to the nearest 10. -2860 Round 0.05446119 to 3 dps. 0.054 Round 1.78679 to 3 dps. 1.787 What is -0.00000212401 rounded to seven decimal places? -0.0000021 What is -0.0743208 rounded to 4 decimal places? -0.0743 Round 101203 to the nearest 1000. 101000 What is 0.00662337 rounded to 5 decimal places? 0.00662 Round 0.002904564 to 3 decimal places. 0.003 Round 0.001335714 to 4 dps. 0.0013 What is 0.0060877928 rounded to 3 decimal places? 0.006 Round -12476690 to the nearest one million. -12000000 Round -11.20466 to zero decimal places. -11 Round -103009.85 to the nearest 1000. -103000 Round 268214.28 to the nearest 1000. 268000 What is 212785.19 rounded to the nearest ten thousand? 210000 What is 0.034198674 rounded to 3 dps? 0.034 What is 644.888 rounded to the nearest integer? 645 What is 0.000020419 rounded to six decimal places? 0.00002 Round -444440.2 to the nearest 10000. -440000 Round -0.00000107195 to 6 dps. -0.000001 What is -0.00144706 rounded to 3 dps? -0.001 What is -27.4601 rounded to one dp? -27.5 What is -29075.5 rounded to the nearest ten? -29080 What is -0.007267323 rounded to 5 dps? -0.00727 What is 1129.343 rounded to zero dps? 1129 What is -847726 rounded to the nearest one thousand? -848000 What is 391630 rounded to the nearest 100000? 400000 What is 192789840 rounded to the nearest 1000000? 193000000 Round -0.0000016082838 to 7 decimal places. -0.0000016 What is 35923.6 rounded to the nearest 1000? 36000 What is -0.000540265 rounded to 6 dps? -0.00054 Round -3511461.9 to the nearest 100000. -3500000 Round -0.0001215178 to 5 decimal places. -0.00012 Round -43593100 to the nearest one million. -44000000 What is -1244149.5 rounded to the nearest 1000? -1244000 What is -30.17066 rounded to one decimal place? -30.2 Round -0.1213892 to three decimal places. -0.121 Round -1210362 to the nearest 1000. -1210000 Round -0.000006689219 to six dps. -0.000007 Round 14.7662 to one dp. 14.8 Round 363872.4 to the nearest one million. 0 What is 39813.2 rounded to the nearest ten? 39810 Round 30.54204 to 0 decimal places. 31 Round 607.393 to the nearest integer. 607 What is 0.0000159322 rounded to 5 dps? 0.00002 What is -42.7201 rounded to one dp? -42.7 Round 0.46966 to three decimal places. 0.47 What is 1046907.6 rounded to the nearest 1000? 1047000 What is -0.539189 rounded to three dps? -0.539 What is 8.873599 rounded to 0 decimal places? 9 What is -1813849.3 rounded to the nearest 10000? -1810000 What is -43706.2 rounded to the nearest one thousand? -44000 What is 11760500 rounded to the nearest one million? 12000000 Round -43566.56 to the nearest 10. -43570 Round 0.0850078 to four dps. 0.085 Round 664.0234 to the nearest one hundred. 700 Round 1469048 to the nearest one thousand. 1469000 What is 0.1057687 rounded to 2 dps? 0.11 Round -0.00240236 to 4 decimal places. -0.0024 What is 2.18738 rounded to two decimal places? 2.19 Round -0.0000710831 to 6 dps. -0.000071 Round -0.7661615 to 2 decimal places. -0.77 Round 0.0572863 to 3 dps. 0.057 What is 5207.8973 rounded to the nearest 100? 5200 Round 0.0601051 to three decimal places. 0.06 Round -0.000006134981 to 7 decimal places. -0.0000061 Round -0.00009216864 to seven decimal places. -0.0000922 Round 34697900 to the nearest 100000. 34700000 Round -9711770 to the nearest 1000000. -10000000 Round 0.0001399963 to 7 dps. 0.00014 What is 124860180 rounded to the nearest 100000? 124900000 Round -65470370 to the nearest 10000. -65470000 Round -32555.4 to the nearest one hundred. -32600 What is -297643.75 rounded to the nearest one hundred? -297600 Round -8936279 to the nearest 1000000. -9000000 What is -0.1463952 rounded to 4 decimal places? -0.1464 Round -0.0000007761343 to seven decimal places. -0.0000008 Round -0.0003498061 to 4 dps. -0.0003 Round 683841.7 to the nearest one thousand. 684000 Round -0.168214 to 3 dps. -0.168 Round -0.00002608934 to 7 dps. -0.0000261 What is -0.0000399496 rounded to six decimal places? -0.00004 What is -6124750 rounded to the nearest one hundred thousand? -6100000 Round 0.0004040952 to five dps. 0.0004 Round -0.0000079176 to 5 dps. -0.00001 What is -11546700 rounded to the nearest 1000000? -12000000 Round 0.002483451 to 4 decimal places. 0.0025 What is 0.00064058 rounded to four dps? 0.0006 Round -49402.07 to the nearest ten thousand. -50000 Round 785873.2 to the nearest one hundred. 785900 What is 338.526 rounded to the nearest ten? 340 Round 0.03200275 to three dps. 0.032 What is 120.70888 rounded to the nearest ten? 120 What is -0.05623299 rounded to two decimal places? -0.06 Round -16.89188 to the nearest 10. -20 What is -50886350 rounded to the nearest one million? -51000000 What is -831.769 rounded to the nearest ten? -830 Round -291674.8 to the nearest one hundred. -291700 What is 84778270 rounded to the nearest 1000000? 85000000 Round 0.114626 to 4 decimal places. 0.1146 Round -51.57999 to one decimal place. -51.6 What is -0.0023973332 rounded to 4 dps? -0.0024 Round 55.0244 to the nearest ten. 60 What is 0.065817 rounded to 1 decimal place? 0.1 What is 16234.09 rounded to the nearest 10? 16230 What is 0.10893316 rounded to five decimal places? 0.10893 What is -0.0000641022 rounded to six decimal places? -0.000064 What is -0.0000675033 rounded to 5 dps? -0.00007 Round 9428.62 to the nearest 10. 9430 What is -0.0140068 rounded to four dps? -0.014 What is -0.0000011060122 rounded to 7 dps? -0.0000011 Round -42670500 to the nearest one hundred thousand. -42700000 What is -2521714 rounded to the nearest ten thousand? -2520000 Round 1457687000 to the nearest 1000000. 1458000000 What is 0.0026802917 rounded to 4 dps? 0.0027 What is 7567150 rounded to the nearest one million? 8000000 What is 322037000 rounded to the nearest 1000000? 322000000 Round -1.259793 to 1 dp. -1.3 What is -2.148993 rounded to 2 dps? -2.15 What is -0.0002989698 rounded to six decimal places? -0.000299 What is -3685826 rounded to the nearest ten thousand? -3690000 What is -45511.81 rounded to the nearest one hundred? -45500 What is -0.0295333 rounded to 2 decimal places? -0.03 Round -9.98933 to 2 dps. -9.99 Round -24075600 to the nearest one million. -24000000 What is 0.679838 rounded to 3 decimal places? 0.68 Round -0.8362 to one decimal place. -0.8 What is 37819040 rounded to the nearest one million? 38000000 Round -394687.21 to the nearest one thousand. -395000 Round -14685.1 to the nearest 10000. -10000 What is 0.5286799 rounded to 1 decimal place? 0.5 Round 0.0001441836 to five decimal places. 0.00014 Round 90.14811 to the nearest 10. 90 What is 44.2012 rounded to one dp? 44.2 Round -9.58229 to 1 dp. -9.6 What is 34493500 rounded to the nearest 1000000? 34000000 Round 114270 to the nearest one hundred thousand. 100000 What is -0.00493286 rounded to 4 decimal places? -0.0049 Round -5776905 to the nearest 100000. -5800000 Round -2879592 to the nearest ten thousand. -2880000 Round 0.00009362406 to 5 decimal places. 0.00009 What is 0.003119 rounded to 4 decimal places? 0.0031 What is -1.93394 rounded to 3 decimal places? -1.934 Round -35.0686 to the nearest integer. -35 Round -253380 to the nearest ten thousand. -250000 Round -0.1689 to 3 decimal places. -0.169 Round -0.01555234 to 4 dps. -0.0156 What is -58437020 rounded to the nearest 1000000? -58000000 What is 0.000194603324 rounded to 6 dps? 0.000195 What is 29355974 rounded to the nearest one hundred thousand? 29400000 Round -3157292.4 to the nearest 1000000. -3000000 Round 13.29037 to the nearest integer. 13 What is -77565.38 rounded to the nearest one thousand? -78000 Round -0.00020035997 to six dps. -0.0002
Let m(w) = w + 42. Let j be m(-14). Let r be j/77*-1*(-1)/(-2). Which is the biggest value? (a) r (b) -3/5 (c) 2 (d) -2/9 c Let r = 11 - 7. Suppose 0 = 16*p + 8 - 40. Let u be 0*(-6)/36 + p. What is the smallest value in 1, u, r? 1 Let m = -0.0827 - 334.9173. Let l = -335.3 - m. What is the third smallest value in 0.5, l, 243? 243 Let l = 147.1 - 152.1. Let m(u) = -u + 1. Let s be m(3). What is the fourth smallest value in l, 6, s, 0.5? 6 Suppose -10*k + 24 = -6. Suppose a - 6 - k = -3*z, 0 = 4*a. Suppose 0 = z*n + g - 14, -n - g + 4 = -4. What is the biggest value in n, 5, -1/2? 5 Let k = 3.33 - -31.67. Let t = -30 + k. What is the second smallest value in 40, t, -5? t Let j = -90 + 89.939. Let i = 1.161 + j. Let x = i + 1.9. Which is the smallest value? (a) -23 (b) -2/5 (c) -0.5 (d) x a Let u = -769.19 + 769. Which is the smallest value? (a) 0.12 (b) 3/8 (c) u c Let x = -149 - -569. Let q = x - 421. What is the fourth smallest value in q, -3, 2, -5? 2 Let n = -0.0118 + -0.1882. Which is the third biggest value? (a) -11/10 (b) -1 (c) 2/5 (d) n b Let y = 4814 - 4814. What is the second smallest value in y, -6/25, -6/5, -0.2? -6/25 Let p = -0.5382 + 0.0382. What is the second smallest value in -0.07, 10, 0.4, -4, p? p Let y = 0.126 + 266.874. Let q = y + -273. What is the biggest value in -5, -2, q? -2 Let w = -8701/34772 + 2/8693. Let m = -81/65 + 11/13. Let d = 7.94 - 8. What is the smallest value in d, -0.5, w, m? -0.5 Let w = 0.2 - -0.3. Let r = -37042.87 - -37232. Let z = r + -189. What is the fourth smallest value in 5, -0.3, w, z? 5 Let w be (-686)/1470*60/70. Let x = 644/55 + -120/11. Which is the smallest value? (a) x (b) 4 (c) w c Let f = -47063/308 + 611/4. Let d = -18/77 + f. Which is the biggest value? (a) 1 (b) d (c) -1 a Let p = 127 + -125. Let r be 6 + 282/(-45) - p/(-3). Which is the fourth smallest value? (a) r (b) -0.4 (c) 2 (d) -3 c Let w = -35/13 + 271/91. Let m be 220/99*(-39)/130. Which is the third smallest value? (a) m (b) 5 (c) w (d) 1/4 c Let z = 4926 - 4867. Which is the third smallest value? (a) 12 (b) 4 (c) 0 (d) -2/23 (e) z b Let g = -1/3 + -1/3. Let w = 238 + -242. Let z = -1.06 - -3.06. Which is the biggest value? (a) w (b) 1 (c) z (d) g c Suppose 59*d - 30*d - 406 = 0. Let g = -2 - -1.9. What is the second biggest value in d, g, -4? g Let l be (-1)/4 - (-5)/4. Let x be l*((-21)/6)/(-7). Let f be ((-26)/39)/(5 + (-124)/12). Which is the second smallest value? (a) x (b) -2/13 (c) f c Let m be 4/42 - 264/126. Which is the fifth biggest value? (a) m (b) -0.2 (c) 1/11 (d) 27 (e) 6 a Let n = 131.9 + -126.9. Let i be (-90)/11 - (-20)/110. Let o(z) = z**3 + 7*z**2 - 8*z - 5. Let m be o(i). What is the second biggest value in m, 4/5, 0.5, n? 4/5 Let t = 196.75 + -3.75. Let z = -192.5 + t. What is the smallest value in -0.1, -1/4, -5, z? -5 Let l = -2648/5 - -7924/15. Which is the third smallest value? (a) l (b) 4 (c) -0.5 (d) 7 b Let k = 226 + -113. Let g = -115 + k. What is the third smallest value in 3, g, -4, -0.1? -0.1 Let v = -0.0736 + -0.2064. Which is the smallest value? (a) v (b) -2/5 (c) -2/21 (d) 1 b Let z = 1275.5 - 1275. Let v = 3 - 8. Which is the third biggest value? (a) v (b) 2 (c) z (d) -1/11 d Let s be 880/(-176) + (-2 - -1 - -7). What is the third biggest value in 2, 3, -3/8, s? s Let f = 2770 + -2768. What is the second smallest value in f, -2, 2/41? 2/41 Let s be (-23 - -63)*70/(-36). Let j = 78 + s. Which is the smallest value? (a) 0.03 (b) j (c) 2 a Let s be (-12*(-2)/(-28))/((-6)/28). Let h = 0.6 + -0.7. Which is the biggest value? (a) s (b) -4 (c) h (d) 10 d Let r(u) = -u**2 + 20*u - 19. Let h be r(19). Which is the biggest value? (a) 15 (b) -38 (c) h (d) -0.3 a Let h = -2.10074 - -0.10074. Which is the third smallest value? (a) -0.52 (b) 10 (c) h b Let p = 70842/17 + -4167. Which is the second smallest value? (a) 0.007 (b) -5 (c) p a Let h be -2*(-1)/((-2)/7). Let u(v) = v**3 + 8*v**2 + 7*v + 5. Let s be u(h). Let t = -3257/28 - -809/7. What is the smallest value in 0.5, t, s? t Let o(i) = -i**3 + 3*i**2 - 40*i + 76. Let u be o(2). Let l = -0.09 + -0.91. What is the smallest value in l, -2/15, 1, u? l Let p = -542 + 544. Let v = 12 - 7. What is the third smallest value in -1, v, p? v Let o = -118.2 + 118.5. Let t = -2.2 + 3. Let b = o - t. What is the second smallest value in 2/3, b, -3, -4? -3 Let t = -0.00352 + -0.19648. What is the second biggest value in 0.2, t, -63? t Let o = 254 + 488. Let j = -744 + o. What is the second biggest value in 1/2, j, 8? 1/2 Let m be -2 - (11/(-264))/((-1)/6)*0. Let i = 17 + -17.5. Let n = -1.2 - -0.2. Which is the fourth smallest value? (a) 3 (b) m (c) i (d) n a Let o = 2.4 - 3. Let t = -256223 + 256223.2. Which is the third smallest value? (a) 0.3 (b) -1 (c) o (d) t d Let y be (-15)/(-132)*(-58)/(-10). Let v = y - 10/11. What is the third biggest value in 3, -3/8, -31, v? -3/8 Let m = 2503 - 2503.5. Let v = -54 + 50. Let p = 68/3 - 22. What is the second smallest value in p, m, v? m Let a be (18/(-12)*(-1)/12)/(66/24). What is the second smallest value in a, 1/6, 0.04, 0? 0.04 Let h = 48 - 27. Let o = -52 - -59.6. Let x = 7.4 - o. What is the third biggest value in x, -3, h? -3 Suppose -7*y - 76 = -26*y. Which is the third biggest value? (a) 0.3 (b) 2/5 (c) 19.9 (d) y b Let q = -4 - -2. Let l = 2.5 + q. Let k = 72694 - 72694. What is the smallest value in k, -1, 2/3, l? -1 Let z = 399.15 + -392. Let f = z + -0.15. Which is the third smallest value? (a) -0.5 (b) -1 (c) -5 (d) f a Let f = -92 - -84. Let v be -1 - -1 - (33/f + 4). Which is the third biggest value? (a) v (b) -4 (c) 0.2 b Let l = -0.2 - 0. Let s be (-46 + 45)/(5*2 - (-5 - -6)). Let f = 0 - 4. What is the fourth smallest value in f, 0.5, l, s? 0.5 Let s = 66.69 + -59.1. Let k = s + 3.41. Which is the fourth biggest value? (a) 1/2 (b) -4 (c) -3/5 (d) k b Let z = 0.2346 + -0.3146. Which is the smallest value? (a) 2 (b) 0.08 (c) z c Let l = -97.75 + -0.25. Let f = l + 107. What is the third biggest value in -0.3, 3, f? -0.3 Let o = 0.38 - -0.02. Let a = 0.5 - o. Let l be (-5945)/(-451) - (-14)/(-77). What is the biggest value in l, 2/5, -3/5, a? l Let a = 2.7524 + 14.2476. What is the fourth smallest value in -1, -5, a, 1/3, -1/2? 1/3 Let p = 4.7 + -5. Let v = 5.015 + -0.015. Let d = -3.919 - -4.019. Which is the biggest value? (a) d (b) p (c) v c Let m = 3065.3 - 3065. What is the second biggest value in m, -4/5, 0.041, 0.4? m Let u(q) = -q**3 - 7*q**2 - 6*q - 2. Let c be u(-6). Let d = 675 + -668.4. Let r = d + -2.6. What is the smallest value in 0, c, r? c Suppose 3*f - 2*m + 826 = 0, 2*m + 494 + 584 = -4*f. Let i = f - -2994/11. Which is the third biggest value? (a) -0.2 (b) 3 (c) i (d) 1/10 d Let y = -1851 - -1845. What is the smallest value in -3, -1, y? y Let q be -1*(-243)/(-1485) + 4/11. Let g = 16.09 + -16. What is the biggest value in -1/5, g, q? q Let u be 7/30 - ((-2496)/180 - -14). What is the third smallest value in -4, 2/9, 7, u? 2/9 Let x be (-1862)/(-210) + 2/15. Suppose -8 = 3*m - 5*l, 9*m + x = 4*m + 4*l. What is the fourth smallest value in -9, m, 5, 0? 5 Let b = 399 + -365.2. Let k = 18.8 - b. What is the fourth biggest value in 1, 0.5, k, -2? k Let d = 0.40671 - -84.40529. Let h = d + 0.188. Let u = h + -72. Which is the smallest value? (a) -1/2 (b) 3 (c) u a Let d = -801 + 798. Let a = -147.04 + 147. What is the biggest value in d, -1, -2, a? a Suppose -q - 2*q + 3 = 0. Suppose v + q = -2. Let b be -2*(-16 + 31)/45. What is the smallest value in v, -1, b? v Let n be 16/2 + -6 + 4. Let z be ((-4)/18)/(((-12)/n)/(-12)). Which is the second smallest value? (a) z (b) 23.9 (c) -0.2 c Let w = 13 + -55/4. Let u = -10810 + 10813. Which is the biggest value? (a) w (b) 110 (c) u b Suppose j - 5*z = 29, -59 + 16 = -2*j + 5*z. Suppose -3*h = -2 + j. Which is the second biggest value? (a) -3.1 (b) h (c) 2 a Suppose -542*r - 138*r - 2698 = 669*r. Let d = 2 - 2.01. Which is the smallest value? (a) r (b) d (c) -13 c Let o = -649 + 648.97. Which is the second smallest value? (a) 3 (b) -2/9 (c) o c Let c = -97.325 + 97.34. What is the biggest value in -9, c, -0.5? c Let o = -4552.17 - -4552. What is the second smallest value in -2/17, o, -5/2? o Let v = -6 - -8. Let x = -477.2 + 56.2. Let f = -420 - x. Which is the second biggest value? (a) f (b) v (c) -1/2 (d) -0.1 a
Simplify (((g**(4/7)*(g*g**6)/g)**(4/17))**(4/41))**(-1/8) assuming g is positive. g**(-92/4879) Simplify (((y/y**(-1/7)*y)/y**4)/((y/(y**(-4)*y))/(y**(1/3)*y*y*y)))/(((((y**(-9)/y)/y)/y*y)/y)/((y*y**(-1/3))/y))**(-1/4) assuming y is positive. y**(-457/84) Simplify (w**(-1)/w)/w*w**(1/3)*w**(-1/2)/w**4*(w**(-1))**(2/85)*(w*w**(-6))/w**(-1) assuming w is positive. w**(-5707/510) Simplify (b**(-2/13)*b**(-10)*b*(b**3)**(-19))**48 assuming b is positive. b**(-41280/13) Simplify (o**5*o**(-5))/(o**1)**(-1/7)*((o/((o*o**(-1)/o)/o))**(1/12))**29 assuming o is positive. o**(207/28) Simplify (t**46)**(-15)/((t**(-1/51)/t)/t**(26/5)) assuming t is positive. t**(-174364/255) Simplify (c*(c*c*c*c/(c/(c**(1/3)*c)))/c*c)**(-40)*(c/c**1)**(19/6)*c*c*c/(((c/(c**(-1/12)/c))/c)/c)*c*c**3*(c**(-5)/c)/c**(-4) assuming c is positive. c**(-2501/12) Simplify ((p**(-1/4))**(3/7)*p**(2/7)/(p/((p/(p**(-1)*p))/p)))/(((p*p/(p*p**(-1)))/(p*p*p**(-2/11)))/(p**(-4)/p**2)) assuming p is positive. p**(-2157/308) Simplify (((o**20*o*o)**(2/23))**(-33))**(1/19) assuming o is positive. o**(-1452/437) Simplify (y**(-1))**(1/24)*((y/((y*y**4)/y))/y)/y**2*y**(-3)/y**(2/11)*(y*y**0*y)/(y*y/((y/(y/(y**(1/10)/y)*y*y*y))/y)*y) assuming y is positive. y**(-19963/1320) Simplify (j/(j/((j**8/j*j)/j))*j/(j/(j**(-25)/j))*j/j**(4/7)*j**(2/39)*j)**(-2/95) assuming j is positive. j**(9566/25935) Simplify (j/(j**1*j))**(1/30)*j**(-4/7)/j*j*j*j*j*j*((((j*j**(-2/9))/j)/j)/j)/j*(j**(-4/5)*(j/(j/(j*(j/j**(1/14))/j*j*j)))/j)**4 assuming j is positive. j**(2953/630) Simplify (((o**(-1/7)*o)/o**0)/(o/(o**1/o)*o**(-5)))/(o**(-1/2)/(o*((o**(-1/13)*o)/o)/o)*o/(o**(1/2)/o*o*o)*o/o**(-2)) assuming o is positive. o**(253/91) Simplify f**(-4)/f**(-2/9)*(f**1)**7*((f*f*f/f**0*f)/f**(-4))/(f/(f/f**(-1/4)*f))**(1/3) assuming f is positive. f**(419/36) Simplify ((x*x/(x/(x*x*x**(9/4)))*x/(x**(-1/36)*x))/((x/(x/(x*x**(1/9))))/(x**33/x)))**(-21) assuming x is positive. x**(-1519/2) Simplify (a**(-1/4)*a*((a*a**(4/17))/a)/a*a**(1/11)/a*a*a*a/(a*((a**(-4/3)/a*a)/a)/a))**(-47) assuming a is positive. a**(-465065/2244) Simplify ((k**(-2/7))**(-4/9)*k**(-4)*k/k**(-5))**45 assuming k is positive. k**(670/7) Simplify ((y*y/(y/(y/(y/(y**(1/2)/y)*y))))**(9/2)/(y**(-3/2)/(y/(y**4/y)*y)))/((y**1)**(2/41)/(y**4/(y*y**(-2/3)/y*y))) assuming y is positive. y**(919/492) Simplify (t**(-8/9)/(t*(t*t**(-2/5)*t*t*t)/t)*(t/((t*t**(-15))/t)*t)/(t*t**(1/7)))**38 assuming t is positive. t**(136078/315) Simplify ((m**(-4))**(1/13)/(m**(-1/4)*m/m**(-6/7)*m*m))**33 assuming m is positive. m**(-47025/364) Simplify ((u**(-4/7)/u)/u*u**(-4))**(-13/5)/(u*(u/(u/u**5))/u*u*u/u**0*(u**(3/4)*u)/u*u*u**(-6)) assuming u is positive. u**(2007/140) Simplify ((x/(x*x*x*x*x*x/x**(-2/7)*x*x*x*x*x))**(-42)/(((((x**1*x)/x)/x*x)/x)/(x/(x*x**(2/3)))))**12 assuming x is positive. x**5176 Simplify (s**(-1))**(-1/17)*(s**1)**(-21)*((s/s**1)/s)**(-16)/(s/(s*s/(s*s/s**(-1/3))*s*s))**15 assuming s is positive. s**(86/17) Simplify ((b/(b**(-1)*b)*b)**12*(b*b/b**3)/b*(b**(-5)/b)/b)/((b/(b/(b/(b*b*b**(-1/6)))*b))/(b**(2/7)*b)*b**7*(b**(-1/5)*b)/b) assuming b is positive. b**(2377/210) Simplify ((p**(-3)/p)**(-2/155)*p**(-7)*p**(2/21))**(44/7) assuming p is positive. p**(-981508/22785) Simplify (p**0/p**(-2))**43*(p/p**(2/7)*p)**(-18)*(p*p**(-1/10)*p)/(p*p**(-7)*p) assuming p is positive. p**(4343/70) Simplify ((k**(-3))**(4/13))**(-31)/((k**(1/5)/k)**(-11/6))**42 assuming k is positive. k**(-2144/65) Simplify (((((d**(2/5)*d)/d)**30)**(1/13))**(-36))**6 assuming d is positive. d**(-2592/13) Simplify ((i**(-17))**(-17/4)/((i*(i*i**(-7))/i*i)/i**(-4/9)))**(-30/7) assuming i is positive. i**(-1975/6) Simplify (x**19/x**(-23)*x*x**(-2/9)/x*x*x*x*x/(x*x**23)*x)**(-4/17) assuming x is positive. x**(-820/153) Simplify (t/(((t**(-10)*t*t*t)/t)/t)*(((t**(-43)/t)/t)/t)/t)/((t/(t*t**(-1/5)))/((t**43/t)/t)) assuming t is positive. t**(19/5) Simplify ((l**(4/7)*l**(-11))/(l*l*l**(-4/9)*l*l*l/(l/((l*((l/(l**1*l))/l)/l)/l*l))*l))**(-47) assuming l is positive. l**(38446/63) Simplify (((v*v/v**(-14)*v*v)/(v**(-1/4)*v*v))/(v/(v*v/((v*v**10*v)/v)*v)*v*v*v/(v/(v*v**(5/7)))))**(-1/11) assuming v is positive. v**(-9/28) Simplify (r**1)**(-1/7)/((r*r/(r/r**(3/4))*r)/r**4)*(r**(-1)*r**(-2))**(-33) assuming r is positive. r**(2803/28) Simplify (((w*w**5*w)/w**(-1/12))/((w**(-4)*w)/w**(3/7)))/(((w/(w**(1/2)*w*w))/(w**(-1/5)/w))/((w*w**5)/w**(3/5))) assuming w is positive. w**(6809/420) Simplify (((n**(-3/2)/n*n**(-4/7)*n)/(n*n*n/n**(3/4)*n**(-1)))**(5/4))**(-7/5) assuming n is positive. n**(93/16) Simplify (((l/l**(2/7))/l)**(-31/2)*(l/(l/l**(-1))*l*l)**(24/5))/((l/(l/(l**(-6)*l)))/(l**2/l))**(-29) assuming l is positive. l**(-5767/35) Simplify ((i**41*i*i)/(i**(1/29)*i))/(((i/(i/(i*i*i/i**(1/3)*i)))/i)/i**(2/51)) assuming i is positive. i**(58181/1479) Simplify ((h**(-8/3)*h*h*h*h*h)/(h/(h/(h**47*h)*h)))/(h/h**(1/15))**(-29) assuming h is positive. h**(-88/5) Simplify (o**(-5)/(o*o**(-2))*(o*o**5)/o*o/(o/o**3))/(((o**(1/3)*o)/o*o*o/((o**(-1/12)*o)/o))/(o*o*o/(o*o*o**(-3))*o*o/o**(-3))) assuming o is positive. o**(127/12) Simplify (w**1)**(-19)/(w**(-1))**(-1/28)*(w**(-2/5)*(w/(w*w**(4/7)*w))/w)**23 assuming w is positive. w**(-12233/140) Simplify ((h**(1/3)*h*h)/(h/(h*h/((h/h**(-4)*h)/h))))/((h*h*h*(h**0/h)/h)/(h*h**(-5)))*(h**0)**(-15)/(h**(1/3))**(-50) assuming h is positive. h**10 Simplify (((y**(-1/2)/y)/y*y**(-9))/(y**6/(y/(y*y*y**(-2/7))*y)))/((y*y/(y/(y/((y**(-3)/y)/y)))*y)/(y*y**(-2/27)/y*y))**(-1/30) assuming y is positive. y**(-48134/2835) Simplify ((y**(-1/52)/(y/((y/(y/(y*y/(y**31*y))))/y)))/(y*(y*y*y**(-2/9)/y*y*y)/y*y**(15/2)))**(-17) assuming y is positive. y**(336515/468) Simplify ((r/(r/(r*(r*r*r*r/r**7*r)/r)*r*r))/(r**(-1/10)*r))**26/((r**(-1/4)/r*r)/r**(-2/3)*(r*r**(-1)/r*r)/(r/(r**(1/4)*r))) assuming r is positive. r**(-1921/15) Simplify ((v**(-3/2)/v)**50)**(-44)/((v/((v/(v*v/v**(1/5)*v))/v))/v**(-8))**35 assuming v is positive. v**5087 Simplify (((g**0)**(9/4)/((g/(g*g*(g*(g*g**3)/g*g)/g)*g)/g)**(-1/25))**43)**(-37) assuming g is positive. g**(1591/5) Simplify ((a**(-5)*a**(-5)*a*a)/(a**(-2/7))**17)/((a*a**(-1))**(-3)/(a**(-2/17)/(a/a**(-2)*a))) assuming a is positive. a**(-864/119) Simplify ((((p*p**(2/9))/p)/(((p/(p*p/(p*p*p**(-3)*p)))/p*p)/p))/(p**(-14))**(-6/13))**(9/8) assuming p is positive. p**(-62/13) Simplify ((d**(-5/3)*d**(-6))/(d**(-12)/d**(-7)))**(-8) assuming d is positive. d**(64/3) Simplify (((b/b**(-1)*b)**(-3/16)*b**(-3)/(b/(b/b**(-9)*b)*b))**(32/7))**30 assuming b is positive. b**(5220/7) Simplify (t**2/t)**(4/7)/(t**(-2/29)*t*(t**32/t)/t) assuming t is positive. t**(-6163/203) Simplify (((u**(5/2)/u)/(u*u**5)*u/u**(-2/25)*u*u**(-4/3))**(-14))**(2/13) assuming u is positive. u**(7882/975) Simplify (y**(-4/3)/y**(-3))/((y/y**(1/3))/y)**18*((y**0)**(-2/91))**(-27) assuming y is positive. y**(23/3) Simplify (p**(-6)/p**9*p*p*p*p*p*p*p**5*p*p*p*p*p/((p*p**(-8)*p*p)/p)*p)/((p/p**(-2))**26*(p*p**(-2))**32) assuming p is positive. p**(-38) Simplify (q**(1/2)*(q/q**5)/q)/(((q*q*q*q/(q**0/q*q)*q*q*q)/q)/q**6)*(q*q**(1/3)*q)**(-25)*(q**(1/4)/q)/(q/(q*q**(-3)*q)) assuming q is positive. q**(-787/12) Simplify ((g**(-3/4))**(7/5))**5*((g*g/g**(-4/3))/((g/g**(1/6)*g)/g))/((g/((g/(g/(g*g*g**0*g)))/g))/g*g**(1/7)) assuming g is positive. g**(-25/28) Simplify (k/(k**(-2/7)*k)*k**(-2))/(k**(2/5)*k**(-2/7))*((k*k**(-1/2))/k*k/(k/(((k*k**(-4/5)/k*k)/k)/k)))**(2/99) assuming k is positive. k**(-6497/3465) Simplify (n**3*n**(1/2))**(-9)*(n**(-2)*n**(2/17)*n)**30 assuming n is positive. n**(-1971/34) Simplify ((m/(m/(m/m**5)))**(-25)/(m*m**(4/25)*m/(m/(m**(2/5)/m))))**21 assuming m is positive. m**(52206/25) Simplify p**(1/5)*(p*p**(3/5))/p*p**(-6)/((p/p**8)/p)*p**(-5)*(p**7*p*p)/p*((p/(p*p**0))/p*p*p*p)**18 assuming p is positive. p**(209/5) Simplify (((t*t**(-33))/t**(2/89))**(-1/54))**32 assuming t is positive. t**(15200/801) Simplify ((r*r*r**(2/5)*r)/r**(-13))**(7/6)/((r**0*r*r)**(-4/3)*r**6/((r/((r*r**7)/r))/r)) assuming r is positive. r**(44/5) Simplify (((u**(-2)*u*u*u*(u*u/(u*u**(2/23)))/u)/(u**(-2)/u**(2/3)))**10)**(-50) assuming u is positive. u**(-123500/69) Simplify ((q/q**(-2/25))/q**(-1)*q**(3/14)*q*q**(-13))**(-39) assuming q is positive. q**(132483/350) Simplify ((((u**(-1/3))**(1/45))**(-41))**33)**12 assuming u is positive. u**(1804/15) Simplify ((i**(15/4))**(-2/39)*(i/(i*(i**(-1/11)/i)/i))/i*i**11)**(3/5) assuming i is positive. i**(10209/1430)
Let x = 43.21 + -43. Let l = 5.71 - x. Let q = l + -5. Which is the biggest value? (a) -0.4 (b) q (c) -0.3 b Let h(k) = k**2 - 2*k - 3. Let x be h(5). Let f be 1/(-4) - 57/x. Let q = -0.6 - 1.4. What is the smallest value in q, -1/9, f? f Let l = 0.8 + -1.2. Let j = l + -0.6. What is the second biggest value in 2/11, -0.04, j? -0.04 Let t = 1069 + -20359/19. Let l = t - -566/209. Which is the third biggest value? (a) l (b) 1/6 (c) 2 b Let x be (-16)/(-4)*(4 - 2). Let z be (2/(-22))/(4/x). What is the biggest value in 0.2, z, 0? 0.2 Let r = 0.1 - 0. Let o = -12 - -11.94. Let v = o - -0.06. What is the third biggest value in -4, r, v? -4 Let g be 4/(-30)*(-1 + (-1)/2). Which is the third smallest value? (a) 1/4 (b) g (c) -0.4 a Let p = 0 - 4. Which is the second smallest value? (a) -0.05 (b) -0.1 (c) p b Let v = -0.2 - -0.4. Let r = 899.07 + -894. Let j = r - 0.07. Which is the second smallest value? (a) j (b) -4 (c) v c Suppose 0 = 5*p + w, -2*p + 3*p = -3*w. Which is the third biggest value? (a) -2/15 (b) p (c) -4 c Let m = -212 - -211.7. Let u = 15 + -11. Which is the second smallest value? (a) m (b) 1 (c) u b Let z = 8 - 3. What is the biggest value in 0.1, -4, z? z Suppose 5 = 2*f - 9. Let m = 4 - f. Let j = 1.1 - 6.1. Which is the third smallest value? (a) m (b) j (c) 3 c Let w be (-1)/((-8)/2)*6. Let i be (-45)/(-5)*(-2)/(-6). Which is the second smallest value? (a) w (b) i (c) -2/7 a Suppose -3*k - 3 = r, 5*k - 10 = r + 33. Let z = 35/2 + r. Which is the second biggest value? (a) 3 (b) -3 (c) z c Let y = 0.11 - 0.11. Let d = 0.2 - 0.2. Let k = d - y. What is the second biggest value in 3, k, 2? 2 Let k(i) = i**3 - 6*i**2 - 3*i + 5. Let j be k(6). Let u = j - -11. What is the second smallest value in u, -0.1, 1/4? -0.1 Let f = -4.4 + 4.6. Which is the second biggest value? (a) -1/3 (b) 1 (c) 5 (d) f b Let t = 19.2 - 20. Let q = -46.8 - -51. Let u = q - t. What is the third smallest value in u, -4, 1? u Let o = 2.6 - 2.3. Which is the third biggest value? (a) -4 (b) -5 (c) o (d) 0 a Suppose d + 3*i + 9 = 0, 0*i - 2*i = d + 6. Let w = 4.94 + 0.06. Which is the smallest value? (a) w (b) d (c) 1/3 b Suppose -3*o + 3*x = -9, 3*o + o + 9 = -3*x. What is the fourth smallest value in -0.2, -0.1, -5, o? o Let g = 1.9 - 0.1. Let q = g + -2. Let v = 13 - 8. Which is the smallest value? (a) q (b) v (c) -2/3 c Let x = 0.1 + -0.4. Which is the second biggest value? (a) 0 (b) -0.5 (c) x c Let n(g) = -g**3 - 8*g**2 - 7*g - 1. Let h be n(-7). What is the second smallest value in h, -2/9, -9/5? h Let w(i) be the second derivative of i**5/20 - i**4/12 - i**3/6 - i**2 - 2*i. Let s be w(2). Which is the smallest value? (a) 1 (b) s (c) 5 b Let h = 42.5 + -43. Which is the second smallest value? (a) 0.17 (b) 3 (c) h a Let g be 1/3 - (-16)/(-30). Let s = -331/24 - -41/3. Let j = -1 - -2. Which is the biggest value? (a) s (b) j (c) g b Let t = 11 + -10.5. Let m(z) = -z - 7. Let o be m(-5). Which is the smallest value? (a) o (b) t (c) -5 c Let d(f) = f**2 + 15*f + 21. Let h be d(-5). Which is the biggest value? (a) 0.3 (b) 0.2 (c) h a Let j = -5.5 - -6. What is the second smallest value in -10, j, -2/3? -2/3 Let g = 0.04 + -19.04. Let h = g - -20. What is the second smallest value in h, 1/4, 0.2? 1/4 Let c = -5.2 - -3.2. What is the second biggest value in 4, 6, c? 4 Let x be -2 - (-4 + 26/12). What is the fourth biggest value in -2/9, 0.2, 1/3, x? -2/9 Let p = -1 - -15. Let t = 10 - p. Let r = -11.5 - -11. What is the third smallest value in r, 4, t? 4 Suppose 5*u - 2*d = 10, 3 = 4*u - 2*d - 5. Let h = -25.24 - -30.2. Let t = h - -0.04. Which is the biggest value? (a) 0.4 (b) u (c) t c Let s be 1/(-4)*8/6. Which is the second smallest value? (a) s (b) -0.6 (c) -2/9 a Let j = 36 - 75/2. Let k be 5/((-140)/12) - 0. Which is the second smallest value? (a) k (b) j (c) 4 a Let y = -27.8 - -28. Suppose -n + 3 = -1. Let d be (1/n)/(3/6). Which is the third biggest value? (a) d (b) y (c) 0.1 c Let s = -32 - -27. Which is the third smallest value? (a) 0 (b) 2/7 (c) s b Let l = -0.41 - 0.19. What is the second smallest value in -1, -3/2, -0.3, l? -1 Let g(l) = 2*l**2 - l - 1. Let v(d) = d**3 + 3*d**2 - 4*d - 1. Let i be v(-4). Let x be g(i). Which is the smallest value? (a) x (b) 0.5 (c) -4 c Let a = -2 - -18. What is the third biggest value in a, -2, 5, 0.2? 0.2 Let l = -1.2 + 1.1. What is the second biggest value in l, 0, -0.5? l Let d = 16 - 15.6. Let j = 7.1 + -7. What is the biggest value in 4, d, j? 4 Let v = -117 + 119. Which is the smallest value? (a) v (b) -2/29 (c) 1/2 b Let t(b) = -b**3 + 4*b**2 + 4*b + 4. Let d be t(5). Let v be (-7)/(-60) + (-1)/4. What is the third biggest value in d, v, -4? -4 Let y = -4 - -3.4. Let o = y + -0.4. Which is the third smallest value? (a) o (b) -2/7 (c) 3 c Let d = 1.95 + -2. Let x = -0.35 + d. Let g = -13.1 + 13. Which is the third biggest value? (a) g (b) -5 (c) x b Let d(n) = n - 7. Let v be d(5). Let m = v - -6. Let a = -3 - -3.2. What is the second biggest value in a, -1, m? a Let h = 11 - 8. Suppose 16*i + 36 = 7*i. Which is the biggest value? (a) -1 (b) i (c) h c Let g = -1.6 - -2. Let q = g + -0.5. What is the smallest value in q, 4/7, 3? q Let k(n) = -n**2 + n + 2. Let i = 0 + -2. Let y be k(i). Let l = -117/4 - -29. Which is the smallest value? (a) y (b) 1 (c) l a Let z = 0.1 + -1.1. Let w = -4 + z. What is the smallest value in 3, -2/5, w? w Suppose -u = 4*x + 1, 0 = -4*u + 2*x + 50 + 36. Let d = 113/6 - u. What is the smallest value in d, -4, -5? -5 Let v = 0.6 + -0.2. What is the second smallest value in 1/11, v, -0.2? 1/11 Let y = -63 + 440/7. What is the smallest value in 2/13, y, -0.5? -0.5 Let p = -79 - -76. Which is the fourth biggest value? (a) -4 (b) 2/23 (c) p (d) -1 a Let z = 12 + -10.8. Let r = 3.8 + z. Let g = 587/22 + -53/2. What is the third smallest value in r, 2, g? r Let c = 11 + -12. Let q = c + 1.4. What is the second smallest value in q, -1/6, 4? q Let f = 15.92 - -0.48. Let i = -16 + f. Let x = 8.3 - 8. Which is the second biggest value? (a) i (b) x (c) 1 a Let c = -147/5 + 29. Let v = 3 - 3.3. What is the third smallest value in 1/9, c, v? 1/9 Let i(x) be the third derivative of -x**4/24 - 2*x**3/3 - 7*x**2. Let h be i(-5). Which is the third smallest value? (a) 0.4 (b) h (c) -2/17 b Let l be ((-2)/78)/((-7)/42). Let n = -0.16 + -2.84. What is the third biggest value in l, -1, n? n Let f be (-2)/2 + (2 - 1). Let y = -0.5 - 0.5. Let u = 2.1 + -2. What is the smallest value in u, f, y? y Suppose -a - 4*a - 2*x = 9, 5*x - 30 = 5*a. Let h = -307/939 - 2/313. What is the third biggest value in -2, h, a? a Suppose 3*j - 5 = 5*f, -f - 16 = 4*j - 2*f. Let z = -167 - -2507/15. Let o be -4*((-6)/(-56) + 0). Which is the second biggest value? (a) o (b) j (c) z a Let u = -3.1 - -3. Suppose -v = 3*g + 2*v + 9, 2*v = -5*g - 21. Which is the third biggest value? (a) -0.2 (b) g (c) u b Let g = 0.3 + -0.5. Suppose 20 = 4*i + i. Let p be (1/(-12))/(i/18). What is the third biggest value in p, -2, g? -2 Let g = 58 - 63. Which is the second smallest value? (a) -3 (b) -4 (c) g b Let r = 0.42 - 0.62. What is the fourth smallest value in -2/21, r, -2/5, 0.5? 0.5 Let s be (-1830)/(-4450) - (-2)/(-5). Let v = -183/445 + s. Which is the second biggest value? (a) v (b) 2 (c) -2 a Suppose -4*f = -5*w + 25, 2 = -2*w - 2*f + 12. Suppose 0*m = -w*m - 5. Let c = 73/22 - 20/11. What is the third biggest value in c, -3, m? -3 Let c = -26.5 - -27. What is the second smallest value in 14, c, 2? 2 Suppose 3*l - 1 = -4. Let a be 1 + 24 - (5 - 4). Suppose b = -n + 6, -4*b - 2*n = b - a. What is the third biggest value in 1/4, b, l? l Let n = 9 - 79/9. Let j = 4 + -2. What is the biggest value in j, n, 0.2? j Let b be ((-264)/(-255) - 2) + 1. Let m = 286/85 + b. Let j = -3 + m. What is the second biggest value in j, -1, 0.5? j Let l = 231.91 - 230. Let m = -0.09 - l. Let h = 0.06 - 0.06. What is the third smallest value in 4, h, m? 4 Let m = 128 + -1151/9. What is the third smallest value in m, -4, -11? m Let k = 38 - 113/3. Let h = 0 + 2. What is the second smallest value in h, -1/3, k? k Suppose 0 = z - 0*z - 1. Which is the third biggest value? (a) 0 (b) z (c) 2 a Let k = -7 - -1. Let g = 6.4 + k. Let r = 6 + -4. Which is the third biggest value? (a) g (b) r (c) -0.3 c
Suppose -5*c - 3378 = -5*p + 34997, -4*c + 23004 = 3*p. Calculate the greatest common divisor of p and 56. 56 Suppose 286*q = 294*q - 2272. Suppose q = 2*m + 228. What is the greatest common factor of 56 and m? 28 Let o be 7/((-35)/(-2))*1240/8. Let a(f) = -f + 1. Let t be a(-4). Let n(c) = 4*c**2 - 2*c + 3. Let q be n(t). What is the greatest common divisor of q and o? 31 Suppose h + 2*d + 212 = 0, -3*h - 540 = 3*d + 108. Let q = 245 + h. What is the greatest common divisor of 750 and q? 25 Let x be 59/2 + 1/(-2). Suppose 39 = -8*t + 55. Let b be 87/t*56/42. Calculate the greatest common factor of x and b. 29 Suppose 0 = -3*q - 0*q - 6, 3*h = q + 26. Let p be 205*((13 - h) + -2). What is the highest common factor of p and 30? 15 Let q be -99*(18 + (-1508)/78). Let k(p) = -49*p + 2. Let i be k(-4). What is the highest common divisor of i and q? 66 Let v = 59 - 182. Let f = -60 - v. Suppose -4 = 4*x, 2*l + 2*x = x + f. Calculate the greatest common factor of 4 and l. 4 Suppose -4*w + 6*w = -4*n + 36, -2*n = 4*w - 102. Let t be (-10)/20*(-14 + 0). Calculate the greatest common divisor of w and t. 7 Let p be (78/(-5))/((-51)/680). Let a = 213 - p. Let s = 51 - 6. Calculate the greatest common factor of s and a. 5 Suppose z + 4751 = 2*v, -5*z = -2*v + 2164 + 2567. Calculate the highest common factor of 164 and v. 82 Suppose 0 = c - 179 + 51. Suppose -5*y - 6015 = -3*s - 5752, 3*y = -5*s + 495. What is the greatest common divisor of c and s? 32 Suppose -18352 = -33*d - 41*d. What is the highest common factor of 558 and d? 62 Let f be (6080/(-5 + 15))/1. What is the highest common divisor of 228 and f? 76 Suppose 0 = -w - 2*r + 838, 8*w = 9*w - 4*r - 832. Let d(v) = -v**2 + 43*v + 361. Let b be d(50). Calculate the highest common divisor of b and w. 11 Let a(t) = -t**2 - 6*t + 5. Let q be a(-6). Let b be 2520 - q/((-10)/8). Let r be 18/(-81) - b/(-18). What is the greatest common factor of r and 28? 28 Let a be 0/(-1) + 3808/8 + -3. Suppose -5*c - 3*y - 69 + 667 = 0, -4*c + a = -3*y. Calculate the greatest common divisor of c and 7. 7 Let h = 91 + -67. Let t be (-4)/h*4*(1 + -4). Suppose -b + 8 = 4*y - t*b, -2*b - 4 = 4*y. Calculate the highest common divisor of 7 and y. 1 Suppose -182 = -k + 58. Let f(y) = -2*y**2 + 281*y + 3369. Let l be f(-11). Calculate the greatest common factor of l and k. 12 Let s be -82*(-18)/12 - 1*-5. Let p = 609 - s. What is the greatest common divisor of p and 37? 37 Suppose -148*q + 265*q = 42383 + 28753. What is the highest common divisor of 3 and q? 1 Suppose -3*f + 2 = -4. Suppose 4*t = 3*t - f*o + 12, 0 = -o + 5. Let i be (-3 - 12)*t/6*-16. Calculate the highest common factor of 10 and i. 10 Suppose 2*r + 1145 + 1401 = 3*i, 0 = 5*i - 2*r - 4234. What is the highest common divisor of 633 and i? 211 Suppose 9*y = -24 + 222. Suppose 19*s + 300 = y*s. What is the highest common divisor of s and 60? 20 Suppose 35*v - 34*v = -60. Let t = 228 + v. Calculate the highest common factor of t and 24. 24 Let d = 37 - -45. Let v = 5022 - 4899. Calculate the greatest common divisor of d and v. 41 Let v(a) = -279*a - 2291. Let p be v(-51). What is the highest common factor of p and 94? 94 Suppose 22*r = 484 - 154. Suppose -565 = -r*p - 100. What is the greatest common divisor of p and 31? 31 Let a(y) = -99*y. Let u be a(-1). Suppose 41*w - 52*w = -484. What is the greatest common factor of u and w? 11 Let k = -11 + 26. Let u(d) = 6*d - 129. Let z be u(25). What is the highest common divisor of k and z? 3 Let d = 28177 - 24494. Calculate the highest common divisor of d and 29. 29 Let l be (-6)/18 + (-32)/3. Let k = 241 - 214. Let y = l + k. What is the highest common divisor of y and 40? 8 Suppose a = 105 + 71. Let d(r) = 4*r**2 + r + 51. Let k be d(-6). Let h = k - 145. Calculate the highest common divisor of h and a. 44 Suppose -7*x - 2*x = -90. Suppose 175 = 37*w - x. Calculate the highest common factor of w and 295. 5 Suppose 0 = -14*x + 855 + 937. Let l be x - 0*2/(-4). What is the highest common factor of 1 and l? 1 Suppose 12*r - 5*u - 236206 = 6*r, 157460 = 4*r + 2*u. What is the highest common divisor of r and 324? 162 Let i be 2/(-3)*6 - -9. Suppose -6*t + 11*t = 15, 93 = x - i*t. Calculate the highest common divisor of x and 8. 4 Let s = -6503 + 6533. What is the highest common factor of s and 24? 6 Suppose 2*p + 2*l - 38 = l, 0 = 4*p + 5*l - 64. Let m = 332 - 171. Let r be m + (0 - -2) - (-19 - -14). What is the highest common factor of r and p? 21 Let a(s) = s**3 + 6*s**2 - 2*s + 20. Let j be a(-6). Let c be ((-124)/93)/(2 - j/15). What is the greatest common divisor of 4 and c? 2 Suppose 12*r - 18293 - 162846 = 19957. What is the highest common divisor of r and 63? 63 Let d(c) = -11*c + 12*c**3 + 8 - 14*c**3 + 26*c - 7*c**2. Let y be d(-5). Calculate the highest common factor of y and 224. 8 Let o = 410 + -343. Suppose -4*q + o = -41. What is the greatest common factor of 135 and q? 27 Let k be 2 - -205*1 - -2. Suppose -v + 191 = 2*y, 3*y + 4*v - 406 + 117 = 0. Suppose 6*x + y = 11*x. What is the highest common factor of x and k? 19 Suppose -4*d = -20*w + 21*w - 1099, d - 272 = -3*w. Let q = d - 223. What is the highest common divisor of 182 and q? 26 Let t = 280 - 544. Let l = -234 - t. What is the greatest common divisor of l and 90? 30 Let f = -6437 + 8480. What is the greatest common factor of f and 45? 9 Suppose 5*n - 2 = -4*l, 3 = -3*l + 4*l. Let v(u) = 4 + 0 - 23*u - 23*u. Let i be v(n). Calculate the greatest common divisor of 12 and i. 12 Let v(h) = -139*h + 2661. Let d be v(19). Calculate the highest common factor of 8620 and d. 20 Let r = 62 + -56. Suppose 120 = r*p - 3*p. Let m = -7 + p. Calculate the greatest common divisor of m and 165. 33 Let n(c) = 187*c + 8975. Let a be n(-45). What is the highest common divisor of a and 420? 140 Suppose -a + q = -68, -449*a = -451*a - 3*q + 126. Let b = -43 - -131. What is the highest common factor of a and b? 22 Let q be 3 + (134/(-6))/((-2)/(-6)). Let n = q + 68. Suppose 5*h - 23 - 9 = u, n*h - 13 = 5*u. Calculate the greatest common divisor of 28 and h. 7 Suppose -65*j + 30 = -60*j - t, -4*j = 5*t + 34. Let b = 4 - 0. What is the highest common factor of b and j? 4 Let o(m) be the second derivative of m**5/20 - m**4/3 + 7*m**3/3 - 3*m**2/2 - 241*m. Let h be o(6). Calculate the highest common divisor of 36 and h. 9 Let z(w) = 90*w - 18. Let r be z(2). Let l(y) = y**2 + 9*y - 52. Let m be l(-14). Calculate the greatest common factor of r and m. 18 Let p = 3980 - 425. Calculate the greatest common factor of p and 75. 15 Let o = -611 + 747. Calculate the greatest common divisor of 442 and o. 34 Let p be 3*-22*(-56)/84. Let w be 20*(5/(-4) + 4). What is the highest common factor of p and w? 11 Suppose -3*y - 9*w = -597, 4*y - 5*y + 193 = -3*w. Calculate the highest common divisor of y and 56. 28 Let t be 1 + (1 + -1 - -4249). Suppose -13*x + 18*x = t. Calculate the greatest common divisor of x and 50. 50 Let h = 41 + -40. Let u be h/2 - (-4)/(-8). Suppose -q + 3*l = -15, u = -2*q + 4*l + 3 + 25. Calculate the highest common factor of q and 60. 12 Suppose 30*t - 157 = -37. Suppose -3*r - 4*v + 9*v + 127 = 0, -5*r - t*v = -187. What is the highest common divisor of r and 6? 3 Let w(z) = -38078*z - 76132. Let i be w(-2). Let q(h) = 5*h - 8. Let g be q(7). Calculate the highest common factor of i and g. 3 Let f = -24464 - -24566. Calculate the greatest common factor of 2295 and f. 51 Let s(u) = u**2 + 4*u - 20. Let r be s(-8). Let l(b) = -b**2 - 29*b - 88. Let c be l(-24). Calculate the highest common divisor of c and r. 4 Suppose -17*h = -16*h + 88. Let j = h + 81. Let s be 0 + 3 - 28/j. Calculate the greatest common divisor of s and 2. 1 Let s = 7 + -3. Suppose 20 = -4*t, s*y + 4*t + 14 = -2. Suppose -6600*o = -6634*o + 136. Calculate the greatest common divisor of o and y. 1 Suppose 33 + 196 = -123*g - 17. Let x be 32/(-12)*(-9)/(-4). Let t be (-507)/g - -2 - x/(-12). Calculate the highest common divisor of 51 and t. 51 Let t be 51*1110/150 + (-14)/10 + 2. What is the highest common divisor of t and 9198? 126 Let l be 2156/147*12/8. What is the highest common factor of l and 166? 2 Let c(t) = t**3 + 23*t**2 - 43*t + 184. Let x be c(-24). What is the greatest common divisor of x and 400? 80 Suppose 3*q - 2*z + 117 = z, 5*q = 3*z - 205. Let o be (2 + q)*20/(-40). Let c be (14/(-3))/(1/(-3)). What is the highest common factor of c and o? 7
Collect the terms in -85 + 2193628*x - 1096815*x - 1096812*x. x - 85 Collect the terms in 5 + 1586*i + 1528*i - 4764*i + 1614*i + 6. -36*i + 11 Collect the terms in -483*j + 102*j - 105*j. -486*j Collect the terms in -25910*l**2 - 55 + 25913*l**2 - 31. 3*l**2 - 86 Collect the terms in -103*o**3 - 80*o**3 - 115*o**3 + 375*o**3 - 117*o**3. -40*o**3 Collect the terms in -166238*m - 85*m**3 + 79*m**3 + 166238*m. -6*m**3 Collect the terms in -610690301503*g**2 + 11*g**3 + 610690301503*g**2 + 2*g. 11*g**3 + 2*g Collect the terms in 449840*o**2 + 69*o**3 + 449809*o**2 - 5*o - 899649*o**2 + 5*o. 69*o**3 Collect the terms in -10*c**2 - 363 - 361 - 481 - 361 + 1920 - 354. -10*c**2 Collect the terms in -9567669 + 19135285 - 9567616 + 10*i. 10*i Collect the terms in -42 - 5499 + 7*o**2 - 4*o**2. 3*o**2 - 5541 Collect the terms in -3959*g**3 + 851*g**3 - 2029*g**3 - 2576*g**3 - 2186*g**3. -9899*g**3 Collect the terms in -265*r**2 + 20*r + 674*r**2 - 191*r**2 - 220*r**2. -2*r**2 + 20*r Collect the terms in 90 + 87 - 161*q - 179 - 64*q. -225*q - 2 Collect the terms in 87784419*d**2 + 87784662*d**2 + 3*d - 3*d - 175569080*d**2. d**2 Collect the terms in -388*z**3 - 145*z - 134*z - 120*z - 138*z + 537*z. -388*z**3 Collect the terms in -41043*u - 39729*u + 83021*u. 2249*u Collect the terms in 2 + 47604*n + 47602*n - 183*n**2 - 2 - 95206*n. -183*n**2 Collect the terms in 26660*m**3 + 26697*m**3 - 80061*m**3 + 26705*m**3. m**3 Collect the terms in 18*y - 121*y + 64*y + 22*y + 18*y + 8*y. 9*y Collect the terms in 5*l**2 + 149857 - 149861 - 271*l**2. -266*l**2 - 4 Collect the terms in -86*q + 196*q + 57*q + 190*q - 19*q. 338*q Collect the terms in 37*l + 306*l**2 + 30*l + 28*l + 17*l - 113*l. 306*l**2 - l Collect the terms in -27421*s**2 + 0 + 1396*s**2 + 1. -26025*s**2 + 1 Collect the terms in -217 + 217 + 231471*d**2 + 375399*d**2. 606870*d**2 Collect the terms in 12417*w**2 + 41 + 44 + 77 - 162. 12417*w**2 Collect the terms in 11*k**2 + 247 + 5*k**2 - 19 + 284 - 18*k**2. -2*k**2 + 512 Collect the terms in -198*v**2 + 123*v**2 + 656*v**3 + 0*v + 74*v**2 + 0*v. 656*v**3 - v**2 Collect the terms in -219716*z**2 - 13492*z + 439437*z**2 - 219722*z**2 + 13492*z. -z**2 Collect the terms in 2942 + 2738 - 8388 + 2890 - u. -u + 182 Collect the terms in 3 + 7122926*k**2 - 6 - 7 - 7122925*k**2 + 10. k**2 Collect the terms in -1289 + 0*m**2 + 9*m**3 + 2401 - 1112 + 0*m**2. 9*m**3 Collect the terms in 4*n**3 - 14*n**3 - 95148*n**2 + 7*n**3 + 4*n**3. n**3 - 95148*n**2 Collect the terms in 122542*h - 40850*h - 40906*h - 40851*h. -65*h Collect the terms in 19053*a**3 - 19051*a**3 - 204*a + 613*a - 206*a - 203*a. 2*a**3 Collect the terms in 0*w**2 + 543093 - 4*w**3 + 0*w**2 + 16*w**3 - 543080. 12*w**3 + 13 Collect the terms in 216997 - 112*l - 433985 + 216988. -112*l Collect the terms in -34 - 300*l**3 + 15*l**2 + 145*l**3 - 32 + 153*l**3. -2*l**3 + 15*l**2 - 66 Collect the terms in -259166 + 2*d**2 + 138479 + 120687. 2*d**2 Collect the terms in 10456540*u**2 - 5228148*u**2 - 5228395*u**2. -3*u**2 Collect the terms in 289*x**2 + 16576*x**3 - 289*x**2. 16576*x**3 Collect the terms in -q - 1532*q**2 - 9439*q**2 - 4485*q**2 + 2833*q**2. -12623*q**2 - q Collect the terms in a - 6*a + 5584570*a**3 + 5*a + 0*a - 5584559*a**3. 11*a**3 Collect the terms in -8232*y**2 + 6299*y**2 + 13596*y**2 + 12547*y**2. 24210*y**2 Collect the terms in 2*a**2 - 410724 - 5*a**2 + 4*a**2 + 410710. a**2 - 14 Collect the terms in -1160*l**2 - 1436*l**2 + 2669*l**2. 73*l**2 Collect the terms in -22138*v**3 + 2218*v**3 - 28575*v**3 + 2339*v**3. -46156*v**3 Collect the terms in -101*y + 42*y + 59*y - 11908*y**3. -11908*y**3 Collect the terms in -46*y**3 + 186 + 163 - 475. -46*y**3 - 126 Collect the terms in 6270226*u**2 - 25 - 29 - 26 - 6270230*u**2 + 80. -4*u**2 Collect the terms in 684 - 250 - 253 - 181 + 110*s. 110*s Collect the terms in 100*y + 3781*y**2 + 845*y**2 - 19358*y**2. -14732*y**2 + 100*y Collect the terms in 252*c**3 - 130*c**3 - 14238 - 129*c**3 + 14237. -7*c**3 - 1 Collect the terms in -3654*z**3 - 642726 + 642726. -3654*z**3 Collect the terms in -4 - 365*v + 8 + 182*v + 3 - 4 + 179*v. -4*v + 3 Collect the terms in -4050148*m**3 + 2026138*m**3 + 2023986*m**3. -24*m**3 Collect the terms in -172753976*b**2 + 518261922*b**2 - 172753975*b**2 - 172753978*b**2. -7*b**2 Collect the terms in -15425*o**3 + 261*o + 29301*o**3 - 13875*o**3 - 261*o. o**3 Collect the terms in 114*h - 5*h**2 + 7*h**2 - 390 + 9*h - h. 2*h**2 + 122*h - 390 Collect the terms in -974*g - 7*g**3 + 426*g - 20*g**3 + 48*g**3 + 548*g. 21*g**3 Collect the terms in -2*w + 209578713 + 209578784 - 419157497. -2*w Collect the terms in -4313*p + 2*p**2 - 8*p**2 - 1564*p. -6*p**2 - 5877*p Collect the terms in -221 - 4*u**3 + 1262*u**2 + 12*u**3 - 631*u**2 - 633*u**2. 8*u**3 - 2*u**2 - 221 Collect the terms in -6*q + 109097359*q**2 + 6*q. 109097359*q**2 Collect the terms in -1334*t**2 + 1538*t**2 - 96*t**2 - t**3 - 108*t**2. -t**3 Collect the terms in 792971 + 289*o - 3*o**2 - 792971. -3*o**2 + 289*o Collect the terms in 88*h - 20162507471 + 20162507471. 88*h Collect the terms in 60 - 95*x**2 - 10 - 50 + 240*x**2. 145*x**2 Collect the terms in -8694113*i + 1044449*i - 1374056*i. -9023720*i Collect the terms in 7280582*r**2 + 62*r**3 - 7280582*r**2. 62*r**3 Collect the terms in -14*d**2 + 7774493*d - 3887192*d - 3887301*d. -14*d**2 Collect the terms in 149 - 149 - 62052*n**2. -62052*n**2 Collect the terms in -11486*o + 3658*o - 555965*o**2 + 555966*o**2 - 2. o**2 - 7828*o - 2 Collect the terms in -262*p**2 - 504*p + 236*p**2 + 19*p**2. -7*p**2 - 504*p Collect the terms in -108*l + 246*l**2 - 30*l + 69*l + 71*l. 246*l**2 + 2*l Collect the terms in -55947871*n - 135*n**2 + 77*n**2 + 55947871*n. -58*n**2 Collect the terms in 221*k + 40 - 83*k - 810*k - 572*k. -1244*k + 40 Collect the terms in -13171223846*f + 6 + 0 + 13171223839*f - 6. -7*f Collect the terms in -2 - 533*p - 179*p**2 + 59*p**2 + 41*p**2 + 74*p**2. -5*p**2 - 533*p - 2 Collect the terms in 6402*x - 7889*x + 1491*x. 4*x Collect the terms in 3668*r**2 + 3661*r**2 - 7338*r**2. -9*r**2 Collect the terms in 3503*x**3 - 24685*x + 24683*x + 2475*x**3. 5978*x**3 - 2*x Collect the terms in 2*s + 57322*s**2 + 57310*s**2 + s - 4*s - 114623*s**2 + 2*s. 9*s**2 + s Collect the terms in 910*l**2 + 918*l**2 - 3361*l**2 + 856*l**2 + 908*l**2. 231*l**2 Collect the terms in 4393193*t**3 - 8786471*t**3 + 4393295*t**3. 17*t**3 Collect the terms in -14332974 + 117*p**3 + 14332974. 117*p**3 Collect the terms in -24838*p**2 + 2*p - 11538*p**2 + 93101*p**2 + 87278*p**2. 144003*p**2 + 2*p Collect the terms in -38653766 + 38653766 - 41*a. -41*a Collect the terms in 16*i**2 - 11*i**3 + 50 + 59*i**3 + 10*i**3 - 4*i**2. 58*i**3 + 12*i**2 + 50 Collect the terms in -268*i**2 + 600*i**2 + 3 - 575*i**2. -243*i**2 + 3 Collect the terms in -364*o - 462 - 430*o - 459 - 463 + 1384. -794*o Collect the terms in -5 + 4 - 206*n + 5 - 3 - 2. -206*n - 1 Collect the terms in 1373*y - 3632*y + 1153*y + 1112*y. 6*y Collect the terms in 0*h + 4513796829956*h**2 + 0*h - 4513796829956*h**2 - h**3. -h**3 Collect the terms in 1367*s + 2316*s + 575*s + 560*s. 4818*s Collect the terms in 5818*k - 11635*k + 5838*k + 5. 21*k + 5 Collect the terms in -477*z**2 - 2698*z**2 - 762*z**2 + 5 + 4 - 8. -3937*z**2 + 1 Collect the terms in 6157 + 6660 + k - 12813. k + 4 Collect the terms in -10058*r**2 + 20571*r**2 - 9716*r**2. 797*r**2 Collect the terms in 35*d - 70442 - 13*d - 10*d - 14*d + 16715. -2*d - 53727 Collect the terms in -3*d**3 - 15658848979*d**2 + 15658848979*d**2. -3*d**3 Collect the terms in 86850*y**2 - 86850*y**2 + 486*y**3. 486*y**3 Collect the terms in -35*r**2 - 15*r**2 - 23*r**2 - 38*r**2 + 76*r**2. -35*r**2 Collect the terms in -2385*q - 726*q**2 + 1452*q**2 + 4772*q - 2387*q - 721*q**2. 5*q**2 Collect the terms in -113*u - 42 + 79 - 38 + 3. -113*u + 2 Collect the terms in -2*r**3 - 106935155828*r + 106935155828*r. -2*r**3 Collect the terms in 188*h - 75*h + 184*h + 185*h + 179*h - 669*h. -8*h Collect the terms in 19136*f**2 - 38337*f**2 + 19199*f**2. -2*f**2 Collect the terms in 6583860789 - 6583860789 - 27*s**2. -27*s**2 Collect the terms in -890*v - 890*v + 5373*v - 899*v - 889*v - 893*v - 899*v. 13*v Collect the terms in 16 - 9 + 8*t - 7 - 6 - 6. 8*t - 12 Collect the terms in 4504*i**3 + 3118*i**3 + 5906*i**3 - 3459*i**3. 10069*i**3 Collect the terms in -3610*c**2 - 117*c + 21*c + 11559*c**2. 7949*c**2 - 96*c Collect the terms in 4297*q - 3591*q + 12121*q. 12827*q
Suppose -803 = 7*w - 607. Is 106 a factor of 75672/42 - 8/w? True Let s(v) = -v**2 + 13*v + 10701. Does 130 divide s(0)? False Let w be ((10/1)/(-10))/(2/(-6)). Suppose 1169 + 2029 = w*q. Is 13 a factor of q? True Let r = -900 + 930. Is (-3)/(-2)*(2 - (-1360)/r) a multiple of 3? False Let z(i) = -i**3 - 209 - 6*i**2 + 403 - 204 + 2*i. Is 12 a factor of z(-7)? False Let a(r) be the first derivative of r**4/4 + r**3/3 - r**2/2 + 36*r + 225. Let d(n) = n - 4. Let u be d(4). Is a(u) a multiple of 4? True Suppose 0 = -5*k - t + 121, t - 67 = -3*k - t. Suppose -4*d - 5*z - k = 0, 2*d - 3*z + 8*z = -25. Suppose -5*h + 58 + 1142 = d. Is h a multiple of 48? True Suppose 61*q = 56*q + 10. Let r be (8/(-12))/(q/(-27)). Let y(w) = w**2 - 5*w + 12. Is 12 a factor of y(r)? True Let d(p) = 9*p**2 - 82*p - 57. Does 47 divide d(-42)? False Let p(a) = a**2 + 149*a + 5881. Does 3 divide p(-70)? True Let v(q) = -5*q**2 + 69*q - 117. Let z be v(53). Does 33 divide z/(-33) + (-1)/3? False Let m be -11 - (2 - (-3 + 9)). Is 25 a factor of (-1075)/(6 - (m - -14))? True Let b(h) be the first derivative of -171*h**2/2 - 43*h + 34. Does 9 divide b(-2)? False Suppose -3*x - 49 = 4*m, 24*x + 47 = -5*m + 25*x. Let i = -28 - -62. Let p = i + m. Does 6 divide p? True Suppose 4*k - 3*r - 52 = 0, 3*k + 0*r = -2*r + 39. Let v(f) = -f + 11. Let n be v(k). Is 15 a factor of -4 + (-62)/n + 1? False Does 44 divide 8448/(-15)*(-22 - 24/(-2))? True Let v = 877 - 720. Is v even? False Suppose 0 = 5*j, 19 + 21 = 5*w + 4*j. Suppose -50*h = -15*h - 47320. Is w - h/(-24) - 1/3 a multiple of 8? True Suppose 3*y = 3*m - 45267, 2*m + 62*y = 63*y + 30178. Does 61 divide m? False Suppose -j + 893 = -510. Let u = 2926 - j. Suppose -5*p + 2*l + u = -l, 3*p - 2*l - 914 = 0. Is p a multiple of 16? True Let l = 24 + 11. Let n be 103/5 - 21/l. Suppose 0 = n*c - 19*c - 56. Is 14 a factor of c? True Let x(v) = -88*v**3 + 33*v**2 + 177*v - 58. Does 20 divide x(-9)? False Let i(a) = -763*a + 2951. Is 16 a factor of i(3)? False Let w(o) = 2*o**3 + 99*o**2 - 108*o + 199. Is 102 a factor of w(-46)? False Let t = -392 - -346. Does 24 divide t/437 + 40533/57? False Suppose 0 = 1005*w - 1018*w + 16380. Is w a multiple of 5? True Let k = 16211 + -14951. Does 9 divide k? True Let g(j) = j**3 - 61*j**2 + 3*j - 1582. Does 28 divide g(62)? False Let o = 3834 + -3150. Does 2 divide o? True Suppose -112 = -10*p - 6*p. Suppose -423 = -4*j - o - 130, -284 = -4*j - 4*o. Let i = j + p. Is 9 a factor of i? True Let l = 166 + -124. Suppose 2*w = -6 + l. Is 9 a factor of w? True Let h(c) = -2*c**2 + 28*c + 20. Let u be h(14). Let b be 1934/11 + u/110. Suppose g = -3*m - 0*g + 124, -4*m + b = 4*g. Is 10 a factor of m? True Suppose 3*f - 5*k = 1260, 3*f + 0*k = 2*k + 1260. Is f a multiple of 70? True Let j = 128 + -157. Is -6 + (-5 - j) + 5 even? False Let a(u) be the third derivative of -39*u**6/40 - u**5/60 + u**4/12 + u**3/2 - u**2. Let r be (1 - (-10)/(-14))*119/(-34). Is a(r) a multiple of 13? True Suppose p + 296 = -6*w + 5*w, 0 = -4*p + 16. Let f = w - -751. Is f a multiple of 17? False Let v = -79 - -113. Let q = -32 + v. Suppose -3*l - 2*m = -294, 6*m = -q*l + 3*m + 191. Does 9 divide l? False Let q = -12 - -22. Let x(i) = -2 + 7*i**2 - i**2 - 9 - 5*i**2 - 4*i. Does 7 divide x(q)? True Suppose 2*k + 8*k = -19*k + 101674. Does 58 divide k? False Let h = 420 + -241. Let f = -125 + h. Is f a multiple of 9? True Let d(x) = 4*x**3 - x + 1. Let m = 35 - 34. Let a be d(m). Suppose a*o - 415 + 107 = 0. Is o a multiple of 22? False Let k(r) = -r**3 + 11*r**2 - 10*r - 6. Let y be k(10). Let c be 2/((-8)/15)*80/y. Let l = 82 + c. Does 16 divide l? False Let y = -9479 - -11551. Does 6 divide y? False Let o(k) = 3*k**3 - 84*k**2 + 104*k - 97. Is 128 a factor of o(31)? True Let n be (-1)/((6/8)/(-3)) + -2. Suppose -c + 8 = 7*c. Suppose -c = -w + n*q + 17, 5*w - 3*q = 62. Is 5 a factor of w? True Suppose -5*x - 4*l - 683 = -3*l, 0 = 3*x + 5*l + 423. Let i = 14 - x. Is i a multiple of 25? True Let v be (1 + 3 + -4)*8/16. Suppose -5*f + 6280 = 5*o, o = -4*f - v*f + 5009. Does 11 divide f? False Let w(v) = -23*v**2 + 2*v + 1. Let t be w(-1). Let o be (-156)/(-15) - (t/15 - -2). Does 6 divide (-88)/o*((-77)/14 + 3)? False Let z(l) = 8*l - 8 - l**2 - 4*l - 2 + 6*l. Let n be z(4). Let f = -3 + n. Is f a multiple of 11? True Let r be 2/5 - (-8)/(-20). Suppose 84 = 4*g - 2*w, -3*w + r*w + 94 = 5*g. Suppose -5*y - g = 0, -4*a + y = -9*a + 176. Is 6 a factor of a? True Let r = 6264 + -4845. Does 7 divide r? False Suppose -27*g - g = -146*g + 51448. Is 57 a factor of g? False Suppose y + 47 = -3*x, 3*y - x + 0*x = -161. Let q be 1/(-4) - (-9480)/(-96). Let r = y - q. Does 18 divide r? False Is 123 a factor of ((-1890174)/(-48))/11 - 17/(-136)? False Let s = -18220 + 27901. Does 103 divide s? False Let c(p) = 10*p**2 - 72*p + 701. Does 12 divide c(12)? False Let p(k) be the third derivative of -53*k**4/12 - 41*k**3/6 - 81*k**2 + 1. Does 24 divide p(-6)? False Let h(s) = -758*s - 12016. Is h(-27) a multiple of 20? False Let p be (-78)/12 - 1*(-3)/6. Let s(h) = -h**2 - 7*h - 10. Let q be s(p). Does 38 divide -8*((-4)/40)/(q/(-1090))? False Let a be (2 + 36)/(8/(-120)). Let w = a + 832. Is 64 a factor of w? False Suppose -3*u = -3*m + 300, -4*u = -6*m + 5*m + 388. Does 5 divide (-4642)/(-14) + u/168? False Let u(l) = 5534*l + 3764. Is u(4) a multiple of 37? True Let q(t) be the first derivative of t**4/4 + 4*t**3 - 23*t**2/2 - 5*t - 39. Is 32 a factor of q(-12)? False Is 12 - ((-51293)/11 + -1) a multiple of 40? False Suppose -5*h = -28*h + 23373 + 11771. Does 28 divide h? False Suppose -20 = -4*m + 16. Suppose 4*h = -m*h + 4290. Is h a multiple of 10? True Suppose 0*t + 5*p + 3240 = 5*t, 0 = -2*t + 4*p + 1302. Let b = t - 185. Does 23 divide b? True Let z = 42 - 43. Let y be (-2 - z) + 2/(4/14). Let m(i) = -i**3 + 8*i**2 - 6*i - 1. Does 6 divide m(y)? False Let z = -234 - -229. Does 16 divide 1*1118*z/(-10)? False Let c = -58 - -58. Suppose c*n - 14 = -n. Is 2 a factor of n? True Let h(a) = a**3 - 5*a**2 - 17*a - 1. Let c be h(9). Let g = 287 - c. Is g a multiple of 7? False Suppose -4*a = -2*b + 8, 0 = 3*b - 2*a + 3 + 5. Let z(t) = 8*t**2 - 16*t - 22. Is 7 a factor of z(b)? False Is 86 a factor of (-118294)/(-20) - (-879)/2930? False Let n(a) = -4*a + 18. Let o(f) = -17*f + 73. Let w(r) = -9*n(r) + 2*o(r). Let x be w(12). Is (4/2 + -8)*(-240)/x a multiple of 20? True Suppose 0 = -6*h - h - 147. Let w be (-4 + 4 - h) + -4. Suppose -3*i + w + 28 = 0. Does 2 divide i? False Is (160/(-20))/(1/(-368)) a multiple of 46? True Let p be (-3 + 7)/(-20) - (-52)/10. Suppose -3*t + 106 = -p*t. Let i = -37 - t. Does 3 divide i? False Suppose -7*l = -15*l + 680. Suppose 0 = 8*f + 5 - l. Is 2 a factor of f? True Suppose -4*v + 10*a - 5*a + 14065 = 0, 3*v - 3*a - 10551 = 0. Is 33 a factor of v? False Suppose -o = 4*v - 8263, -3*o - 5*v + 23814 = -975. Is o a multiple of 29? False Let p(k) = -k**2 + 10*k - 22. Let m be p(5). Let n(c) = -c + 1. Let y be n(m). Is 2 a factor of 3 - (-2 + y + 5)? True Let m(q) = -q**3 - 3*q**2 - q - 3. Let k be m(-3). Suppose k*x = 2*x - 336. Suppose v = h + 2*h - 103, -x = -5*h - 2*v. Is 34 a factor of h? True Suppose 881 = 10*l - 1459. Suppose 6*w - 660 = -l. Does 3 divide w? False Suppose a - 4*a = -36. Suppose -5*o = -3*o - a. Is o/(-5)*80/(-12) a multiple of 4? True Suppose -17*o = -10*o - 35. Is (68/o)/(9/((-2025)/(-10))) a multiple of 18? True Let j(u) = u + 90 - u**3 - 16 + 49. Let v be j(0). Is 9/(-12) - v/(-4) a multiple of 10? True Let a(c) = 5*c**2 - c - 2. Let b be a(2). Let q(m) = 33*m - 12 - 11*m - b*m. Is q(6) a multiple of 12? True Suppose 4*z = -4*k, 8*z - 4*z - 5*k + 9 = 0. Is 10 a factor of ((-540)/48)/(z/12)? False Let q(h) = h**3 + h**2 - 7*h - 6. Let u be q(-4). Let n = u - -376. Is 50 a factor of n? True Suppose -3*t + 4 = -2*t. Suppose -3*g = -2*f + f + 9, -t*g - 2 = 2*f. Suppose 5*z = f*h - 25, -h = 3*h + 3*z - 72. Is h a multiple of 4? False Let a = -10704 + 13821. Is 16 a factor of a? False Let q(f) = -11*f + 2267. Does 10 divide q(-83)? True Let v = 47 - 43. Let t = v - 1. Is 9 a factor of 4*24 - (1 - (-2 + t))? False Let r = -21 - -22. Let z be (1048/(7 + -3))/r. Suppose 5*u + 27 = z. Does 29 divide u? False Let y = -34 + 89. Suppose -2*n + 7*n - y = 0. Suppose n*g - 8*g = 180. Does 19 divide g? False Let i = -68 + 79. Suppose -i*y + 1300 = 255. Does 8 divide y? False Let t(f) = f**3 + 3*f**2 + 4*f + 200. Does 8 divide t(0)? True
Let g(q) = 11*q - 15. Let j(b) be the first derivative of 5*b**2/2 - 8*b + 9. Let l(h) = -2*g(h) + 5*j(h). Let v be l(4). Put 5, 3, 19, v in decreasing order. 19, 5, 3, v Let f be (-5)/((-1)/2*-1). Let u(v) = -v**3 - 32*v**2 - 210*v - 70. Let a be u(-23). Sort a, f, -2, -3 in descending order. a, -2, -3, f Let i = -11.9 - -0.9. Let j(v) = -v**2 - 150*v - 1273. Let a be j(-9). Let q be (-2)/3 + (-60)/(-117). Sort a, q, i in decreasing order. q, a, i Let n = 244.01 + -249.01. Let f = -2 - -2.5. Let o = -0.2 + f. Sort 0.5, o, n. n, o, 0.5 Let r = -171018/213785 + -2/42757. Sort 0, r, 0.4, -0.063. r, -0.063, 0, 0.4 Let a(n) = 16*n**2 - 151*n + 68. Let c be a(9). Sort 9, -2, 97, c in increasing order. -2, c, 9, 97 Let i = 191.917 - -0.083. Let p = i - 191.9. Sort 2/7, p, 5. p, 2/7, 5 Suppose 4*n - 125 + 88 = -3*m, 0 = -2*n - 16. Put -3, -5, m, 2 in ascending order. -5, -3, 2, m Let n be (-2)/(-6) + (4 - 2/6*4). Let x = 16 - 14. Sort -5, x, n, 5. -5, x, n, 5 Let h = -8.202 - -3.202. Sort -2, h, 0.1, 1 in increasing order. h, -2, 0.1, 1 Suppose -32*j = 4*n - 28*j, -3 = 3*n + 2*j. Let l = 0.2 + -0.7. Sort n, 5/6, l, -5 in descending order. 5/6, l, n, -5 Let i = 0.51 + 31.49. Let w = i + 2. Let g = w - 29. Sort 1/6, 0.2, g. 1/6, 0.2, g Let v(s) = s**3 + 64*s**2 - 912*s + 1. Let p be v(-76). Sort 3, 0, 2, p, 15 in decreasing order. 15, 3, 2, p, 0 Suppose 2*c - 12 + 2 = 0. Suppose 5*w + 2*f - c*f + 53 = 0, -5*w - 2*f - 48 = 0. Let b = w + 5. Put 0, b, 5 in descending order. 5, 0, b Let w be 0 + 1*(-2 + -1) + (-1305)/(-580). Sort w, -3/43, -1. -1, w, -3/43 Let n be 84/60 + (-2649)/(-15). Let v = 173 - n. Put -3, -7, 3, v in ascending order. -7, v, -3, 3 Suppose -4*g + 196 = -t, -7*t + 3*t + g = 724. Let v = -165 - t. Sort v, -1, -3. -3, -1, v Let v = -55/7 + 8. Let a = -4.6251 - -4.3251. Sort -5, a, v, -0.04 in decreasing order. v, -0.04, a, -5 Let q = 30456 - 30455. Let r(c) = c**2 - 3*c - 1. Let a be r(4). Sort q, a, -12. -12, q, a Let f = -20278 + 20273. Let w(l) = -l**3 - 8*l**2 - 7*l + 2. Let u be w(-7). Sort -2, f, u, -16 in increasing order. -16, f, -2, u Suppose 9*b - 20 - 16 = 0. Let k = 2 + -3. Sort -9, b, -5, k. -9, -5, k, b Let u = -0.0388 - 4.9612. Put 13, -6, u, 0 in decreasing order. 13, 0, u, -6 Suppose -52*p + 51*p + 133 = 0. Let t = -98 + p. Suppose 4*x - a + 102 = 0, -a + 163 - t = -5*x. Sort x, 3, -1 in descending order. 3, -1, x Let x = -14 + 78. Sort x, 3, 1. 1, 3, x Let n be -2 + 0 + -35 + -1. Let s = -34 - n. Suppose -4*j = -2*j + s. Put 0.5, 1, j in increasing order. j, 0.5, 1 Suppose -17*b + 8 + 43 = 0. Suppose 5*k - b*q = 14, k - 3*q - 18 + 8 = 0. Sort -26, k, 2 in increasing order. -26, k, 2 Let t = -0.3259 - 1.6741. Put t, 0.5, -2/21, 2 in ascending order. t, -2/21, 0.5, 2 Let v(t) = -t**3 - 2*t**2 - 7. Let l be v(-3). Suppose -3*z - 36 + 105 = -3*s, l*z - s - 43 = 0. Let j be (4 - 92/z) + 1. Put -5, j, -2/7 in ascending order. -5, -2/7, j Let r = -199 + 201. Let g = 92.95 + -91. Let s = 2 - g. Put s, r, -4 in ascending order. -4, s, r Let s = 2 + -1.8. Let v = 77 - 535. Let z = -462 - v. Sort s, z, -1 in increasing order. z, -1, s Let y = -661194.08 + 661194. Let p = -3/169 - -697/1183. Sort p, -2/7, 0.4, y in descending order. p, 0.4, y, -2/7 Suppose -14*i = -2*i - 24*i + i. Put 48, i, -5, 3 in decreasing order. 48, 3, i, -5 Let h(g) be the second derivative of g**4/12 + 13*g**3/6 - 29*g**2/2 - 168*g. Let f be h(-15). Suppose 0 = -3*v + 58 + 2. Sort v, f, 0 in descending order. v, f, 0 Let v = -6 - -1. Suppose -1 - 7 = -4*d, 0 = 5*c + d - 22. Let u = 16 - 16. Put v, u, c in decreasing order. c, u, v Let g = -1251/245 + 260/49. Sort g, 0, -0.5, -2, -5 in descending order. g, 0, -0.5, -2, -5 Let s be -6 + (-3 - (-3 + 0)) + 13. Sort 0, s, -24 in ascending order. -24, 0, s Let q = 338.18 - 341. Let u = q + 2.32. Sort 3, u, -2/11, -6 in increasing order. -6, u, -2/11, 3 Suppose 5*y - 26 = 4*j, -3*j + 5*y = -0 + 22. Let d = 13 + -11. Put -3, -2, j, d in decreasing order. d, -2, -3, j Suppose -21 + 13 = 4*l, -3*r + l - 37 = 0. Sort 11, 4, r, 1, 5 in ascending order. r, 1, 4, 5, 11 Let j = -0.115 - 1.475. Let n = 1.99 + j. Sort n, 8, -2/7. -2/7, n, 8 Let i = -13.3 + 6.3. Let r = -152/5 + 31. Let w = -87 - -82. Put w, r, i, 1 in increasing order. i, w, r, 1 Suppose -u - 3*u = 3*k - 1, -1 = k. Suppose -9*x = 11*x - 320. Let z be ((-8)/x)/((-7)/(-70)). Sort z, -1, -4, u in descending order. u, -1, -4, z Let i = 6763 - 6762.5. Put -5, 0.3, 2/175, -0.4, i in ascending order. -5, -0.4, 2/175, 0.3, i Let x(p) = 2*p + 8. Let l be x(-10). Let d(o) = -828*o - 3305. Let z be d(-4). Sort l, z, 0, -5 in decreasing order. z, 0, -5, l Let o = -1078 + 1074. Sort -10, o, -1, -3 in descending order. -1, -3, o, -10 Let l(y) = 56*y - 617. Let x be l(11). Sort -3, -2, -35, -9, x. -35, -9, -3, -2, x Let p = 36238 + -36294. Sort -4, -8, p. p, -8, -4 Let u(g) = g**2 + 19*g + 24. Let b be u(-19). Let s = b + -20. Suppose 5*d - s = v + 4, 5*v - 20 = -5*d. Put -3, -1, d in descending order. d, -1, -3 Let j(c) = 2*c**2 - 57*c - 631. Let y be j(37). Sort y, -1, 2, -19 in increasing order. -19, y, -1, 2 Suppose 247 = 236*v + 92*v + 903. Sort -5, -4, -3, 17, v. -5, -4, -3, v, 17 Let s(d) = -d**2 + d + 15. Let q be s(5). Let v be -8 + 0 + 1 + q. Let z be ((-6)/4)/((-6)/v). Sort z, 3, 0 in ascending order. z, 0, 3 Suppose -19 = 4*f - 1 - 34. Sort 0, -28, 5, f, -1 in increasing order. -28, -1, 0, f, 5 Let m = 12606 - 12608. Put m, -11, 33 in decreasing order. 33, m, -11 Let f = 1381 + -1378. Put -1, -26, f, -5 in decreasing order. f, -1, -5, -26 Let v = -66 + 134. Let t = v + -69. Sort -5/6, -2, t. -2, t, -5/6 Let i be (-65 + 49/7)/((-2)/1). Suppose -3*z - 66 = -2*x, z + 0*x = 3*x - i. Put z, 0, -2 in decreasing order. 0, -2, z Let s = 803 + -801. Let r be s/6*(9 + -12)*1. Put 2, -3, r, 1 in increasing order. -3, r, 1, 2 Let f = -631.202 - -631. Let h = f + 0.702. Put h, 0.068, 5 in descending order. 5, h, 0.068 Let f(p) = -2*p - 38. Let v be f(-18). Let j = 676 + -691. Sort j, v, -1/7, -4. j, -4, v, -1/7 Let d = -219.2 - -62.9. Let g = d + 156. Sort -0.2, -0.8, g. -0.8, g, -0.2 Let i(q) = 2*q + 2. Let y be i(-2). Suppose -8*t - 21 = 4*t - 9*t. Sort 4, t, y, -4 in decreasing order. 4, y, -4, t Let t = 0 + -0.1. Let g = t + 0.6. Let i = 198.1 + -198. Put g, 1/21, i in ascending order. 1/21, i, g Suppose -o + 0*o - 3*a - 10 = 0, 5*o - 30 = 5*a. Suppose -o*r - 1 + 7 = 0. Let z = 720 + -723. Put 0, r, -5, z in descending order. r, 0, z, -5 Let s be (-6)/2*(70/3)/10. Let m(u) = 2*u**2 + 13*u - 17. Let y be m(s). Sort -2, 3, 0, y in descending order. 3, 0, -2, y Suppose 0 = 5*l + 15, -2*i - 2*l - 8 = -0*l. Put i, 15, -3 in decreasing order. 15, i, -3 Let k be 0/((-4)/2 + 0). Let w be (-52 - -61) + 4/(-2). Suppose 23 = -5*a - 2. Sort w, k, a. a, k, w Let j = -11830 + 11829. Put 80, -11, j in increasing order. -11, j, 80 Let o(r) = -20*r - 29. Let h be o(-2). Suppose -h*n + 84 = 3*n. Sort 0, n, 10. 0, n, 10 Let n = 4.4 - 5.4. Put 0.4, n, 0, -0.5, -4 in ascending order. -4, n, -0.5, 0, 0.4 Suppose -n - 2773 = -2742. Sort 2, 1, n. n, 1, 2 Let m = 23.1 - 25. Put -6, 4, m, 0 in ascending order. -6, m, 0, 4 Let n = 8140 + -8137. Put n, -76, 1, 5 in ascending order. -76, 1, n, 5 Let s be (6 - 15 - -8)/((-2)/268). Let d = s - 134. Put -1, d, 5 in increasing order. -1, d, 5 Suppose 0 = -5*w + a - 6*a, 0 = -a + 4. Let g be ((-16)/160)/(4/10). Put w, -1.8, g, -3 in ascending order. w, -3, -1.8, g Let z(r) = r**3 - 42*r**2 - 135*r. Suppose -2*f - 30 = -m + 7, -f + 139 = 3*m. Let v be z(m). Sort -2/3, v, -0.5 in decreasing order. v, -0.5, -2/3 Let k be (-6)/(-84)*-14 + (3 - -1). Suppose -g + 0*a - 3*a - 3 = 0, g - 2*a - 7 = 0. Let w be k*4*g/(-4 - 8). Sort w, -22, 5 in increasing order. -22, w, 5 Let j be -7*(2112/(-154))/(-16). Put j, -4, 212, 5 in descending order. 212, 5, -4, j Suppose -5*q = 5*m - 15, 4*q + 2*m - 5 = 9. Suppose 2*i + 5*i - 35 = 0. Suppose -4*j = -12, 3*u - i*j - 5 = -23. Sort 3, q, u. u, 3, q Let h = -811 - -1187. Suppose -1168 + h = -8*f. Sort 3/4, 1, f in descending order. f, 1, 3/4 Let i(g) be the second derivative of g**4/4 - 9*g**3/2 - 3*g**2 - 78*g. Let t be i(9). Put t, -5, -2 in increasing order. t, -5, -2 Let y = 268 - 273. Let n = 21 - 21. Let u be (-15)/(-18)*(6 + n). Sort -8, u, 3, y in descending order. u, 3, y, -8 Let r be 0 + 1/((-6)/31). Let j = -51193/18 + 2849. Let p = j + r. Sort 5, p, -0.5, -0.4. -0.5, -0.4, p, 5
Suppose -i - 1 + 6 = 0. What is the third derivative of w**3 - i*w**2 + 3*w**2 + 2*w**3 wrt w? 18 Let w(c) = c**2 - c + 1. Let z(q) = -q**5 - 33*q**3 - 5*q**2 + q - 9. Let f(t) = -w(t) - z(t). Find the third derivative of f(d) wrt d. 60*d**2 + 198 Let m(z) = -4*z**2 - 14*z - 7. Let d(g) = -3*g**2 - 9*g - 5. Let a(t) = 7*d(t) - 5*m(t). What is the second derivative of a(v) wrt v? -2 What is the derivative of -40 - 108*r + 160*r - 7 wrt r? 52 Let r(j) be the second derivative of -33*j**5/20 - 17*j**3/6 + 21*j. Find the second derivative of r(t) wrt t. -198*t Let u(j) be the first derivative of -3*j**2 + 2*j - 8. Find the first derivative of u(q) wrt q. -6 What is the second derivative of -1 + 0 + 1 + 3*q + 4*q**3 wrt q? 24*q Let k(g) = -25*g**4 + 4*g**3 + 4*g**2 + 56. Let b(f) = -49*f**4 + 9*f**3 + 9*f**2 + 113. Let d(y) = -4*b(y) + 9*k(y). Find the first derivative of d(n) wrt n. -116*n**3 Let h(b) = -2*b**4 - 6*b**2 + 10*b + 1. Let l(v) = -6*v**4 - 17*v**2 + 31*v + 2. Let a(n) = -17*h(n) + 6*l(n). What is the first derivative of a(o) wrt o? -8*o**3 + 16 Let a(s) be the first derivative of 2*s**7/7 + 5*s**3/3 - 1. What is the third derivative of a(b) wrt b? 240*b**3 Let v(x) be the second derivative of 7*x**3/2 + 8*x**2 - 24*x. What is the derivative of v(n) wrt n? 21 Let j(x) = -x - 1. Let d = 8 - 11. Let r(t) = -4*t**2 + 2*t + 3*t**2 + 4 + t. Let s(o) = d*j(o) - r(o). What is the first derivative of s(f) wrt f? 2*f Let d(c) be the first derivative of -c**6/120 - c**5/20 + c**2/2 + 3. Let p(n) be the second derivative of d(n). What is the third derivative of p(i) wrt i? -6 Let s be 13 + 1 + 6 + -4. Suppose 0 = -r + 5*u - s, -4*r + 9*r + 3*u = 32. Find the third derivative of -4 - 4*n**3 + r*n**2 + 2*n**3 + 4 wrt n. -12 Let f(b) be the third derivative of 0*b + 1/8*b**4 + 0*b**5 - 1/60*b**6 + 0*b**3 + 0 - b**2. What is the second derivative of f(h) wrt h? -12*h Let g = -5 + 8. Find the second derivative of g*h - 2*h - 4*h - 2*h**4 wrt h. -24*h**2 Let t = -6 - -2. Let o(z) = -z**3 - z - 1. Let m(k) = -4*k**3 + 4*k - 1. Let c(b) = t*o(b) - m(b). Differentiate c(w) with respect to w. 24*w**2 Let w(u) = 4*u**3 - 4*u**2 + 7*u. Let l(z) = 0*z**2 - 3*z - z**3 + z + z**2. Let g(m) = 21*l(m) + 6*w(m). Find the third derivative of g(p) wrt p. 18 Suppose -4*t + 59 = 23. Suppose 4*g - 7 = 2*r + t, 5*r + 10 = -5*g. What is the third derivative of 2*a**g + 2 - 2 + a**3 wrt a? 6 Suppose 3*n - 19 = -4. What is the second derivative of 7*r**n + 0*r + r - 3*r**5 + r**5 wrt r? 100*r**3 What is the derivative of 4 + 12*t**2 + 4*t**2 - t**2 - 2 wrt t? 30*t Let y(t) be the second derivative of t**4/4 - t**2 + 4*t. Differentiate y(v) with respect to v. 6*v Find the second derivative of 10 - 10 - 3*r**3 - 10*r**5 + 6*r - 42*r wrt r. -200*r**3 - 18*r Suppose -4*z - 6 - 2 = 0. Let s(g) = g**2 + 2*g + 3. Let t be s(z). What is the first derivative of -4 + n + 0*n + t wrt n? 1 What is the third derivative of -44*v**6 - 4*v**2 + 38*v**6 + v**2 wrt v? -720*v**3 Suppose s = -0*s + 2. Differentiate 0 - s*u**4 + 3 - 2 + 2 with respect to u. -8*u**3 Let d(v) be the second derivative of v**8/7 + 5*v**4/12 + 13*v. What is the third derivative of d(l) wrt l? 960*l**3 Let h = 46 - 28. Let u be (4 + -2)/(1/9). Find the second derivative of -h*p**2 + u*p**2 - 2*p**3 + p wrt p. -12*p Let t = 7 - 8. Let i be (t - 0) + -1 + 4. Find the second derivative of -b**2 - 3*b + 0*b + 5*b**2 + 0*b**i wrt b. 8 Let x(w) be the third derivative of -w**6/60 + w**4/24 - 8*w**2. Find the second derivative of x(m) wrt m. -12*m Let i = -15 + 17. Find the second derivative of 8*t**2 - 4*t - i*t**2 - 3*t**2 + 6*t wrt t. 6 Let w(z) be the first derivative of 4*z**6/3 - 3*z**2/2 + 8. What is the second derivative of w(t) wrt t? 160*t**3 Let a be 6/(-4)*16/(-12). What is the second derivative of f + f**4 - a - 3*f**4 + 2 wrt f? -24*f**2 Let h(y) be the first derivative of y**7/21 + y**3/2 - 5*y + 4. Let t(k) be the first derivative of h(k). Find the second derivative of t(m) wrt m. 40*m**3 Let m be -6*-3*1/6. Find the second derivative of 5*p + 1 + 2 - m + 7*p**2 wrt p. 14 Let t(s) = s**2 + 4*s + 3. Let h(b) = 3*b + 2. Let z(c) = 4*h(c) - 3*t(c). What is the first derivative of z(u) wrt u? -6*u Find the second derivative of -22*c**5 + 12*c**5 + 17*c - 7*c**5 wrt c. -340*c**3 Suppose -2*i + 0*c = -2*c, -5*c + 3 = -4*i. Differentiate 5 - 3 + 2*v**2 - 2*v**2 + i*v**4 with respect to v. 12*v**3 Let p(g) be the third derivative of g**5/60 + g**4/3 - 7*g**3/6 + g**2. Let m be p(-9). Differentiate m + 2*x**3 - x**3 - 1 with respect to x. 3*x**2 Let t(g) = 2*g**3 - 4*g**2. Let a(i) = -i**2. Let r = -19 - -4. Let u(z) = r*a(z) + 3*t(z). What is the third derivative of u(y) wrt y? 36 Let k(x) = -5*x + 2. Let w = -4 - 2. Let h(d) = -36*d + 14. Let c(j) = w*h(j) + 44*k(j). What is the first derivative of c(f) wrt f? -4 Let z(n) be the first derivative of n**2/2 + 6*n + 1. Differentiate z(t) wrt t. 1 Let l(r) be the third derivative of r**8/56 + r**4/6 + 7*r**2. Find the second derivative of l(w) wrt w. 120*w**3 Let y(s) be the third derivative of s**5/12 - 2*s**4/3 - 4*s**2. What is the second derivative of y(f) wrt f? 10 Let l(j) be the third derivative of j**6/6 + j**5/2 + 6*j**2. Find the third derivative of l(k) wrt k. 120 Find the second derivative of -45*t**4 - 60*t + 20*t + 100*t**4 + t**4 wrt t. 672*t**2 Let y = 1 - -1. Find the third derivative of y*u**3 - u**3 - 2*u**4 - u**3 + 3*u**2 wrt u. -48*u Let w = 40 + -37. Let c(s) be the second derivative of s + 1/10*s**6 + 0*s**4 + 0*s**w + 0*s**5 + 0 - 3/2*s**2. What is the derivative of c(l) wrt l? 12*l**3 Let i(c) be the first derivative of -c**6/40 + 5*c**4/24 + c**3/3 - 7. Let h(u) be the third derivative of i(u). What is the derivative of h(j) wrt j? -18*j Differentiate -25*m**2 + m**2 + 0*m + 0*m - 5 with respect to m. -48*m Let q(j) = -10*j**3 + 3*j**2 - 9*j - 3. Let p(k) = -19*k**3 + 5*k**2 - 18*k - 5. Let c(u) = 6*p(u) - 10*q(u). Find the second derivative of c(r) wrt r. -84*r Suppose 8*t = 9*t - 3. Let i(u) = 9*u**2 - 10*u + 3. Let x(g) = -10*g**2 + 11*g - 4. Let q(f) = t*x(f) + 4*i(f). Find the second derivative of q(b) wrt b. 12 Let k be 6/15 + 4/(-10). Suppose 2 + k = w. What is the second derivative of w*t**5 - t**5 + 0*t - t wrt t? 20*t**3 Let m(o) be the third derivative of -o**4/12 - o**3 - 10*o**2. What is the derivative of m(f) wrt f? -2 Let s(t) be the first derivative of -7*t**4/4 + 42*t + 18. Find the first derivative of s(q) wrt q. -21*q**2 Let l(w) = -47*w**2 + 42*w. Let k(h) = -16*h**2 + 14*h. Let z(o) = -11*k(o) + 4*l(o). Find the second derivative of z(q) wrt q. -24 Let k(q) be the second derivative of -q**6/360 - q**5/60 + q**4/6 - 2*q. Let f(o) be the third derivative of k(o). What is the first derivative of f(w) wrt w? -2 Let t(n) be the first derivative of -n**4/6 + 5*n**3/6 + 2*n**2 + 2. Let g(s) be the second derivative of t(s). Differentiate g(z) with respect to z. -4 Find the first derivative of -4*d + 5 - 7*d - 5*d + 8*d wrt d. -8 Suppose 0 = -3*u + 10 - 1. What is the third derivative of -3 + u + n**3 - n**2 wrt n? 6 Let o be 6/(-9)*-3 + 1. Find the second derivative of 4*m**3 - 3*m**3 + m**o + m wrt m. 12*m Let z(q) be the second derivative of q**8/560 + q**5/30 - q**3/6 - 4*q. Let s(v) be the second derivative of z(v). What is the second derivative of s(u) wrt u? 36*u**2 Let v(h) = -3*h**4 - 2*h**2 + 2*h + 2. Let q(a) = 3 - 10*a**4 - 2*a - 5*a**2 + 9*a + 4. Let t(w) = 2*q(w) - 7*v(w). What is the third derivative of t(m) wrt m? 24*m What is the derivative of 40 - 19*a - 20 - 23 wrt a? -19 Let y(l) = l**4 + 2*l**2 - l + 1. Let z(h) = 13*h**4 + 6*h**2 - 3*h + 33. Let x(d) = 3*y(d) - z(d). Differentiate x(p) wrt p. -40*p**3 Let w(b) = b**4 - b**3 + b**2 - 1. Let a(k) = -k**4 - 4*k**3 + 4*k**2 - 9. Let v(o) = -a(o) + 4*w(o). Differentiate v(u) with respect to u. 20*u**3 Let d(i) be the first derivative of -4/3*i**3 + 1/60*i**5 + 0*i**2 - 1/8*i**4 + 2 + 0*i. Let n(j) be the third derivative of d(j). Differentiate n(c) wrt c. 2 Let k = 7 + -4. What is the first derivative of 0*r**k + 2 - r**3 + 0 wrt r? -3*r**2 Suppose 15*v - 11*v = 4. Find the first derivative of -5 - v - 12*c**3 + 2 + 4*c**3 wrt c. -24*c**2 Let n be (60/(-21))/((-2)/7). Suppose n = 8*z - 3*z. What is the third derivative of -2*j**2 + z*j**4 - j**4 + 0*j**4 wrt j? 24*j Let w(f) be the third derivative of f**8/48 - f**4/8 + 19*f**2. What is the second derivative of w(i) wrt i? 140*i**3
Let s(z) be the third derivative of -2*z**2 + 1/9*z**3 + 0 + 0*z - 1/90*z**5 + 0*z**4. Factor s(h). -2*(h - 1)*(h + 1)/3 Let j = 59 + -56. Let x(y) be the first derivative of -j*y**2 + 0*y - 5*y**3 - 3/5*y**5 - 3*y**4 - 4. Suppose x(o) = 0. Calculate o. -2, -1, 0 Suppose 0 = 5*z - 151 - 39. What is h in -5*h - 2*h**3 - h - 6*h**2 + 36 - z = 0? -1 Let z(y) = -5*y**2 - 5*y - 10. Let s be z(-3). Let o = s + 161/4. Determine t, given that 1/4*t**3 + 0 - o*t**2 - 1/4*t**5 + 0*t + 1/4*t**4 = 0. -1, 0, 1 Let a = -19/6 - -20/3. Let u = -5 + 8. Determine k so that 5/2*k**2 + k + 0 + a*k**5 - 5/2*k**4 - 9/2*k**u = 0. -1, -2/7, 0, 1 Let u(z) be the third derivative of 0*z**5 + 1/60*z**6 + 0*z + 0*z**4 + 0 - 2/105*z**7 - 4*z**2 + 1/168*z**8 + 0*z**3. Find c, given that u(c) = 0. 0, 1 Let c(k) be the first derivative of 4 - 2/13*k**2 - 6/13*k + 2/39*k**3. Factor c(t). 2*(t - 3)*(t + 1)/13 Determine y, given that 0*y**5 - 5*y**4 - 3*y**5 + 2*y**4 = 0. -1, 0 Let g(z) = -z**3 + 6*z**2 - 3. Let h be g(6). Let l(d) = -d. Let k be l(h). What is u in 1/4*u**4 + 0 + 1/4*u**k - 1/4*u - 1/4*u**2 = 0? -1, 0, 1 Let h(x) be the first derivative of 2*x**5/15 - 4*x**3/9 + 2*x/3 - 1. Factor h(t). 2*(t - 1)**2*(t + 1)**2/3 Let f = 113/12 + -35/4. Let u be ((-1)/2 + 2)*(-72)/(-162). Factor 2/3 - f*i**3 - 2/3*i**2 + u*i. -2*(i - 1)*(i + 1)**2/3 Suppose 4*x - 2 - 14 = 0. Let r be 80/84 - x/6. Factor 0*h + 0 - r*h**2. -2*h**2/7 Let b(p) be the first derivative of 1/6*p**3 + 1/12*p**4 - p + 0*p**2 - 1. Let t(y) be the first derivative of b(y). Factor t(a). a*(a + 1) Let p(a) be the third derivative of 0*a**3 + 1/600*a**6 + 0*a + 0*a**4 - a**2 + 0 - 1/1050*a**7 + 1/150*a**5. Find k such that p(k) = 0. -1, 0, 2 Let u(d) be the first derivative of -2 - 2*d - 8*d**3 - 4*d**4 + 15/2*d**2. Determine k so that u(k) = 0. -2, 1/4 Let t be 3/(-2)*12/(-9). Let y = 1 + -1. Solve y*j**t - 2/7*j**3 + 2/7*j + 0 = 0 for j. -1, 0, 1 Let o = -3 - -5. Suppose -o*s + 4 + 0 = 0. What is p in -s*p - 1 + 0*p + 2*p**2 - 3*p**2 = 0? -1 Let p(x) be the second derivative of x**9/45360 - x**7/3780 + x**5/360 + x**4/3 - 5*x. Let f(z) be the third derivative of p(z). Find g, given that f(g) = 0. -1, 1 Let q = 3 - 1. Let p(v) = v**3 + 3*v**2 + 9*v + 14. Let n be p(-2). Let -2/7*j**q - 2/7*j**4 + 0*j + n - 4/7*j**3 = 0. What is j? -1, 0 Suppose -3*o = -8*o. Let h be o + (-2 - (-48)/21). Factor 2/7*w**5 + 0*w**4 + 0*w + 0*w**2 - h*w**3 + 0. 2*w**3*(w - 1)*(w + 1)/7 Let w(s) be the first derivative of 3/20*s**4 + 3/2*s**2 + 6/5*s + 4/5*s**3 - 2. Factor w(q). 3*(q + 1)**2*(q + 2)/5 Let p = -4 - -7. Suppose -w = -0 - 3. Solve 5*f**2 - f**4 - 2*f**p + 2*f - w*f**2 + 0*f**4 - f**4 = 0 for f. -1, 0, 1 Let m(k) be the third derivative of -k**6/24 - k**5/6 + 5*k**4/24 + 5*k**3/3 + 3*k**2. Factor m(c). -5*(c - 1)*(c + 1)*(c + 2) Let i(a) be the third derivative of 0 + 2/175*a**7 + 0*a**4 + 0*a**3 + 1/50*a**5 + 4*a**2 + 0*a + 9/200*a**6. Let i(d) = 0. Calculate d. -2, -1/4, 0 Let q(o) be the third derivative of o**8/140 + 8*o**7/525 + o**6/150 - 11*o**2. Factor q(v). 4*v**3*(v + 1)*(3*v + 1)/5 Let h(a) be the first derivative of a**3/3 + a**2/2 - 2*a - 6. Factor h(z). (z - 1)*(z + 2) Suppose -5*g + 1 + 9 = 0. Determine c, given that 2*c**2 - c**2 + 0*c**g = 0. 0 Let b be -4*(0/(-4) - 1). Let c(p) be the first derivative of 1/14*p**b - 1 + 3/7*p**2 - 2/7*p**3 - 2/7*p. Find m such that c(m) = 0. 1 Let n = -35 + 107/3. Let d(z) = z**3 - 13*z**2 - 13*z - 11. Let o be d(14). Factor -2/3*s**2 + 2/3*s - n*s**o + 2/3. -2*(s - 1)*(s + 1)**2/3 Let b(p) be the second derivative of p**6/120 - 3*p**5/80 + p**3/6 + p - 10. Factor b(x). x*(x - 2)**2*(x + 1)/4 Let m(q) be the second derivative of -6*q - 1/4*q**4 + 0*q**2 + 0 - 3/2*q**3. Factor m(k). -3*k*(k + 3) Let x(r) be the second derivative of r**5/60 - 3*r**2/2 + r. Let g(l) be the first derivative of x(l). Factor g(m). m**2 Factor z**5 + 4*z**3 - 2*z - 7*z**2 - z**5 - 5*z**4 - z**5 - 13*z**3. -z*(z + 1)**3*(z + 2) Let z(d) be the second derivative of -d**4/6 - d**3/3 + 8*d. Let z(g) = 0. What is g? -1, 0 Let x(i) = -i**2 + 5*i + 16. Let c be x(7). Let o(w) be the second derivative of 1/20*w**4 + 3/25*w**5 + 0 - 3/10*w**c - 2/5*w**3 + w. Factor o(a). 3*(a - 1)*(a + 1)*(4*a + 1)/5 Factor 1/2*b**3 + 7/4*b**5 - 9/4*b**4 + 0*b**2 + 0 + 0*b. b**3*(b - 1)*(7*b - 2)/4 Let o be 21*2/36 - (-2)/(-4). Factor 5/3*c - o - 4/3*c**2 + 1/3*c**3. (c - 2)*(c - 1)**2/3 Let q be 4 + -6 - (-3*2 + 2). Find i such that 0*i**q + 2*i - 2/3*i**3 + 4/3 = 0. -1, 2 Let c(v) = 4*v**3 + 2*v**2. Let f(i) = 5*i**3 + 2*i**2. Let t(g) = 3*c(g) - 2*f(g). Determine o, given that t(o) = 0. -1, 0 Let n(c) be the second derivative of -7*c**7/360 - 7*c**6/1080 + c**5/9 + 2*c**4/9 - c**3 + 6*c. Let p(g) be the second derivative of n(g). Factor p(w). -(w - 1)*(7*w + 4)**2/3 Let n be ((-84)/15 - -3) + -2. Let p = 1/15 - n. Factor 4/9*w**2 + 2/9*w**3 + 0 - p*w**4 + 0*w. -2*w**2*(3*w - 1)*(7*w + 2)/9 Let q = 16/15 - 2/3. Let -2/5 + 6/5*l + 6/5*l**4 - 4/5*l**3 - 4/5*l**2 - q*l**5 = 0. Calculate l. -1, 1 Factor -4*p**2 - 40*p - 20 - 5*p**3 - 12*p**2 - 8*p**2 - p**2. -5*(p + 1)*(p + 2)**2 Factor 33*x**2 + 6*x - 2*x - 31*x**2. 2*x*(x + 2) Let i(t) be the first derivative of t**5/45 - t**3/27 + 6. Let i(y) = 0. What is y? -1, 0, 1 Let m(n) = n**4 - n**3 + n**2 - n. Let v(d) = 40*d**5 - 33*d**4 - 112*d**3 + 7*d**2 + 48*d - 10. Let l(z) = 3*m(z) + v(z). Let l(i) = 0. What is i? -1, 1/4, 1/2, 2 Let l be 1 + -1 - 270/(-5). Let w be l/12 + -1*4. Factor 0 + 13/2*n**4 - n - w*n**2 + 9/2*n**3 + 5/2*n**5. n*(n + 1)**3*(5*n - 2)/2 Let o(g) = 9*g**5 - 5*g**4 - 13*g**3 - 9*g**2 - 3*g + 7. Let z(j) = 8*j**5 - 4*j**4 - 12*j**3 - 8*j**2 - 2*j + 6. Let k(c) = -6*o(c) + 7*z(c). Factor k(a). 2*a*(a - 1)**2*(a + 1)*(a + 2) Let n(v) be the second derivative of 25*v**4/48 + 5*v**3/6 + v**2/2 - 14*v. Factor n(m). (5*m + 2)**2/4 Let l be (-12)/(-30) + (-36)/(-10). Suppose 0 = 2*q - q - l. Factor 1/5*m - 2/5*m**q - 1/5*m**5 + 2/5*m**2 + 0 + 0*m**3. -m*(m - 1)*(m + 1)**3/5 Let p(k) = k**2 + 8*k + 2. Let s be p(-8). Let u(x) = x**2 - 4*x. Let o be u(5). Factor -o*g**3 + g - 3*g - 9*g**s - 2*g**3. -g*(g + 1)*(7*g + 2) Let x(t) be the second derivative of 0 - 1/9*t**3 - 1/30*t**5 - 1/9*t**4 + 0*t**2 - t. Factor x(p). -2*p*(p + 1)**2/3 Let s be -3 + (35/(-112))/((-1)/12). Let -1/2*t**3 + s*t - 1/4 - 1/4*t**5 - 1/2*t**2 + 3/4*t**4 = 0. What is t? -1, 1 Let x(a) = 7*a**4 - 7*a**3 + 18*a**2 - 26*a + 8. Let d(w) = -8*w**4 + 7*w**3 - 18*w**2 + 27*w - 8. Let r(c) = 6*d(c) + 7*x(c). Find y, given that r(y) = 0. 1, 2 Let c(p) be the second derivative of -3/40*p**5 + 1/2*p**4 + 0*p**2 - 3/4*p**3 - 6*p + 0. Let c(q) = 0. Calculate q. 0, 1, 3 Factor 4/5*q - 2/5 - 2/5*q**2. -2*(q - 1)**2/5 Let t(q) = 3*q + 3. Let g be t(5). Suppose -g = -4*r - w, -2*r - w = -0*r - 10. Find p, given that 0 + 1/3*p**2 + p**3 - p**5 - 1/3*p**r + 0*p = 0. -1, -1/3, 0, 1 Suppose -2/3*o**2 + 0 + 0*o + 2/3*o**3 = 0. Calculate o. 0, 1 Let y(v) be the third derivative of -1/40*v**6 - 1/20*v**5 + 0*v - 1/210*v**7 - 1/24*v**4 + 0*v**3 - v**2 + 0. Factor y(k). -k*(k + 1)**3 Let w = -11 - -22. Let f be 24/28*7/w. Find i, given that -2/11*i**3 - 4/11*i - f*i**2 + 0 = 0. -2, -1, 0 Let j(n) = n - 3. Suppose -5*g + 7*k - 3*k = -25, -2*k - 10 = -2*g. Let p be j(g). Factor 18/7*f**p - 4/7*f + 0. 2*f*(9*f - 2)/7 Let i(h) be the first derivative of -2/7*h**3 + 1 - h**2 - 8/7*h. Determine m so that i(m) = 0. -4/3, -1 Let m(g) be the third derivative of g**2 - 2/15*g**5 - 1/12*g**6 + 0*g**3 + 0*g - 2/105*g**7 + 0 - 1/12*g**4. Factor m(p). -2*p*(p + 1)**2*(2*p + 1) Factor -7*l**2 + l**2 + 6*l - 4*l. -2*l*(3*l - 1) Let r(q) be the first derivative of -32*q**3/9 + 8*q**2/3 - 2*q/3 - 7. Determine i, given that r(i) = 0. 1/4 Factor 3/2*c**2 - 3/2 + 3/4*c**3 - 3/4*c. 3*(c - 1)*(c + 1)*(c + 2)/4 Factor -3 + x**2 - 5 + 3*x**2 + 3*x + x. 4*(x - 1)*(x + 2) Let g(q) be the second derivative of q**5/10 - q**4/6 + 2*q. Solve g(l) = 0. 0, 1 Let w(n) be the first derivative of n**6/51 + 2*n**5/85 - 3*n**4/17 - 28*n**3/51 - 11*n**2/17 - 6*n/17 + 6. Factor w(p). 2*(p - 3)*(p + 1)**4/17 Let q(f) = -f**3 - f**2 + f + 1. Let o be q(0). Let u be (-3 + 3)*(-1)/o. Factor 4/5*x + u - 2/5*x**2. -2*x*(x - 2)/5 Let w(b) be the third derivative of 1/315*b**7 - 1/90*b**5 + 1/180*b**6 + 0*b + 0 - 1/504*b**8 - 6*b**2 + 0*b**3 + 0*b**4. Factor w(k). -2*k**2*(k - 1)**2*(k + 1)/3
Let b = 184 - 139. Calculate the greatest common factor of b and 165. 15 Let y = 4 - 1. Let w be 24*(-2)/(-8)*y. Suppose -6*z + 2 = -70. Calculate the greatest common factor of z and w. 6 Suppose 5*y + 4*o = -14, -4*y - 10 = 2*o - 0*o. Let n be (-142)/(-6) - y - 4/(-12). What is the highest common divisor of 104 and n? 26 Let z be 6/12 + 31/2. Suppose -3*c + h + 176 = 5*h, -5*c - 3*h = -308. What is the greatest common factor of c and z? 16 Suppose -370 = -7*s + 5*s. Let u = s - 107. Calculate the greatest common factor of 39 and u. 39 Suppose 0 = 526*g - 537*g + 6336. Calculate the greatest common factor of g and 9. 9 Let g be 2 + (-3)/(9/33). Let u be (2 - (-30)/g)*-87. Let j(n) = n**3 + 8*n**2 + 11*n + 9. Let h be j(-4). What is the greatest common factor of u and h? 29 Let h(i) = 3*i - 2. Let b be h(2). Suppose z + 5*w = 5*z - 10, b*w = z - 8. Suppose 0 = -5*m - z*m + 85. What is the greatest common divisor of m and 85? 17 Let z be (23 - 17)*((-2)/1 - -4). What is the greatest common divisor of 54 and z? 6 Suppose 3*q - 6 = -5*o, 0*q + 2*q - 3*o = 4. Suppose 0 = -4*l + 3*y + 65, -48 = -3*l - 2*y + 4*y. Calculate the highest common divisor of q and l. 2 Suppose 5*c - 120 + 20 = 0. Suppose 0*i + i - 3*b + 13 = 0, -4*i - 66 = 2*b. Let k = i + c. What is the greatest common divisor of 1 and k? 1 Suppose -4*s + 6*s - 127 = 5*j, -15 = 5*j. What is the greatest common divisor of 1064 and s? 56 Suppose 12*t = 14*t - 350. What is the greatest common divisor of t and 70? 35 Let r(o) = -o**2 - 13*o - 4. Let h be r(-9). Let w = h + -1. What is the highest common factor of 62 and w? 31 Let u(i) = -24*i + 62. Let l be u(2). What is the greatest common divisor of 28 and l? 14 Let n be (14/4)/(-4*(-15)/5040). What is the greatest common divisor of 84 and n? 42 Suppose -m = m - 2*o - 204, -m = -4*o - 96. Let q be 9/6*m/12. Calculate the highest common factor of 13 and q. 13 Suppose -90 - 78 = -4*v - 4*k, -4*v - 5*k + 171 = 0. What is the greatest common divisor of v and 18? 3 Let y = 9 + -4. Suppose -f + 12 = y*b - 197, 5*b - f - 211 = 0. What is the highest common divisor of b and 6? 6 Let p be ((-6)/18)/(2/(-30)). Suppose 2*c - 3*c + 5*h = 0, -5*h = -p*c + 40. Calculate the highest common divisor of c and 70. 10 Let x(f) = f**2 + 10*f - 2*f**2 + 266 - 264. Let r be x(8). Suppose -2*j = -r - 62. Calculate the greatest common divisor of 5 and j. 5 Suppose -373*i = -370*i - 270. What is the highest common divisor of i and 50? 10 Let z(a) = 2*a - 9. Let r be z(6). Suppose 0 = -r*v + 4*k + 257, 0 = -2*v + 4*v - 5*k - 162. Calculate the greatest common divisor of v and 13. 13 Let o = 41 + -38. Let c be o/(-6)*(-19 - 3). Let j be 0 + c/((-11)/(-24)). Calculate the highest common divisor of 216 and j. 24 Suppose -5*z + y + 45 = 4, -4*z + 35 = -3*y. Let w(u) = -u + 22. Let t be w(14). What is the highest common factor of z and t? 8 Suppose -5*c - 17 = -r - 2*c, -5*c = -5*r + 55. What is the greatest common factor of r and 88? 8 Let n be -2*-3*6 + -4. Calculate the highest common divisor of 24 and n. 8 Suppose -2 = -2*x + 3*p, -5*x + 4*p - p + 14 = 0. Let w = 19 + -10. Suppose -w*g = -x*g - 35. What is the greatest common divisor of 28 and g? 7 Let p = 345 - 325. What is the highest common divisor of 2720 and p? 20 Let r be 53095/1480 + 2/16*1. What is the highest common factor of r and 882? 18 Let y be (-4*6/12)/((-4)/48). What is the greatest common factor of y and 64? 8 Let t(b) be the first derivative of -b**3/3 + 13*b**2 + 2*b - 13. Let u be t(13). What is the highest common factor of 19 and u? 19 Let d = 2521 + -2389. Calculate the greatest common factor of d and 168. 12 Suppose 17 = h - 5*n, -4*h + 8*n - 3*n = -23. Suppose 0 = h*o - 5*l - 64, 4*l = 5*o + 5*l - 160. Calculate the highest common divisor of o and 40. 8 Suppose -21*n + 584 = -1432. What is the greatest common divisor of n and 48? 48 Suppose 1566 = -39*x + 126*x. What is the highest common divisor of 288 and x? 18 Suppose -5*n + 2741 - 820 = m, 2*m = 3*n - 1150. Calculate the highest common factor of n and 12. 12 Let i be (-3*(-92)/(-24))/((-2)/8). Suppose -i*n + 490 = -39*n. What is the greatest common factor of n and 42? 14 Suppose 0 = -4*i + 4*p + 584, -i - 3*p + 7*p = -143. Suppose -4*t + t - 297 = 0. Let f = t + i. Calculate the greatest common factor of 12 and f. 12 Let l = 10 + 3. Let i(o) = 23*o**2 - l*o**2 + 3 - 2. Let u be i(-1). Calculate the highest common factor of u and 77. 11 Let i(u) = -u**3 - 11*u**2 - 2*u - 10. Let a be i(-11). Suppose 2*o = o + 5*p - 9, 0 = 4*o + p - 69. Calculate the highest common factor of o and a. 4 Let b be (-3)/(2/(-100)*1). Suppose 5*x - 4 = -3*p, -2*x - 22*p + 24*p = -8. Suppose c = -x*c + b. Calculate the greatest common divisor of c and 20. 10 Let f be 10/5*-30*(-3)/12. Let k = f + 4. Calculate the highest common divisor of 19 and k. 19 Let p(s) = s**3 - 9*s**2 + 9*s - 8. Let l be p(8). Suppose l = -3*x + 6*x - 42. What is the greatest common factor of x and 112? 14 Let p be (-230)/(-6) - 46/(-69). Let o(m) = -m + 18. Let u be o(0). Let k be u/(-5)*(-130)/p. What is the highest common divisor of 6 and k? 6 Suppose -5*z - 4*y + 2042 = 0, 15*y = 2*z + 12*y - 826. Calculate the highest common factor of 328 and z. 82 Let c be ((294/(-12))/7)/(2/(-4)). Suppose -9 = -3*f, -4*x + c*f + 7 = 4*f. Calculate the greatest common divisor of 28 and x. 4 Let v = -164 + 167. Calculate the greatest common divisor of v and 1. 1 Let w(k) = k**3 + 8*k**2 - 2*k - 7. Let y be w(-8). Let n = 12 + -8. Suppose -1 = 3*m - n. What is the highest common divisor of y and m? 1 Let h(r) = 5*r + 61. Let q be h(-10). Suppose -q*w - 84 = -25*w. What is the highest common divisor of 2 and w? 2 Let w = -495 + 977. Suppose w = 3*g - 2*n + 1560, -5*n = -3*g - 1066. Let s be 4/14 - g/7. What is the highest common divisor of s and 13? 13 Suppose 147 = -2*c - c. Let v = c - -84. Calculate the highest common factor of v and 175. 35 Let s be (-3)/((-68)/56 + 1). Let t = 56 + -35. Calculate the highest common factor of t and s. 7 Let h be (-7 - 3)*(-16)/20. What is the highest common divisor of 64 and h? 8 Let r(v) = -v + 6. Let h be r(0). Let k(j) = j - 14 - 1 + h. Let i be k(15). Calculate the greatest common factor of i and 30. 6 Let k(r) = -r**3 + 2*r**2 + 3*r - 1. Let i be k(2). Suppose -i*z = -0*z - 110. Let n = -625 + 801. What is the highest common divisor of n and z? 22 Let m be (2/(-3))/((-2)/51). Let l = -110 - -229. What is the greatest common factor of m and l? 17 Let h(i) = -i**2 + 11*i + 14. Let j be h(9). Suppose 210 = -27*b + j*b. What is the greatest common factor of b and 105? 21 Suppose -360 = 5*x - 17*x. Calculate the highest common divisor of 110 and x. 10 Let p = 15 - 9. Suppose p*f + 12 = 30. Suppose 3*x - 111 = -4*o - 2*x, -63 = -3*o + 3*x. What is the highest common factor of o and f? 3 Let i be 272/(-51)*60/(-2). What is the greatest common divisor of i and 20? 20 Let s be (-1184)/(-12) + 8/6. What is the greatest common factor of s and 650? 50 Let u be ((-2664)/21)/(-4) - (-14)/49. Suppose -3*q + 32 = q. What is the greatest common divisor of u and q? 8 Suppose -2*r = -3*u - 1008, 0 = r - 33*u + 38*u - 478. What is the highest common factor of 6 and r? 6 Let q(l) = -l**3 - 8*l**2 - 6*l + 9. Let h be q(-7). Suppose 0 = -m + t + 5, t - 9 - 7 = -h*m. Let w = 24 + -3. Calculate the greatest common factor of m and w. 7 Let n be (18/15)/(120/5100). What is the greatest common divisor of n and 170? 17 Let i = 1598 - 1255. What is the highest common factor of i and 441? 49 Suppose -678 = -3*k - 3*r, 201*k - 4*r + 214 = 202*k. Calculate the highest common factor of k and 322. 46 Let i be 6/(-9) + -4*685/(-60). Calculate the highest common divisor of i and 60. 15 Suppose 4*c - 18 + 2 = 0. Let l be 23 + c + -2 + -2. Let t(k) = 243*k - 3484. Let h be t(15). Calculate the greatest common divisor of l and h. 23 Let f = 166 + -144. Calculate the greatest common factor of 539 and f. 11 Suppose -21*j = 7*j - 10752. What is the highest common factor of j and 32? 32 Let q(j) = 21*j**2 - j. Let r be (-5)/(16 - 1) - (-8)/6. Let z be q(r). Suppose 3*c = -2*c + 40. What is the greatest common divisor of c and z? 4 Let a(i) = -46*i + 6. Let f be a(-6). Let c be (-1)/(-8) + f/48. Suppose 3*u - 24 = c. Calculate the greatest common divisor of 20 and u. 10 Let f be -4 + (2 - -1 - 2)*-1. Let z be (16 - 1) + 1 + f. What is the highest common factor of z and 11? 11
Let f = 162 - -199. List the prime factors of f. 19 Suppose 6*f + 2235 = 11*f. What are the prime factors of f? 3, 149 Let d be (-978)/(-8) - 1/4. Let b be ((-23)/(-69))/(2/(-426)). Let l = d + b. List the prime factors of l. 3, 17 Suppose 0 = -5*n - 3*u + 5*u + 86, 20 = 2*n + 4*u. Suppose -q = -r - 4*q + 12, q = r - n. List the prime factors of r. 3, 5 Let v(z) = -5*z + 48. Let d be v(11). List the prime factors of (-7)/d*199/1 - -2. 3, 67 Let v(x) = x**3 + 9*x**2 + 9*x + 4. Let q be v(-7). Let r be 10*-2*q/(-6). Suppose -j + r = 4*j. What are the prime factors of j? 2, 13 What are the prime factors of -4 + (-310 - 0)/(34/(-68))? 2, 7, 11 Suppose 11 = 3*t - c, 5*c + 4 - 13 = -t. Suppose -t*j + 1317 = 121. List the prime factors of j. 13, 23 Let i be (-4)/14 + (-629)/(-119). Suppose 0 = 5*c - 5*s - 35, -4*c - i*s = -2*s - 35. List the prime factors of c. 2 Suppose 3*x - 965 = 5*c, 5*x + 6*c = 3*c + 1563. What are the prime factors of x? 3, 5, 7 Suppose 56*s - 18510 = 41*s. What are the prime factors of s? 2, 617 Let k = -35 - -46. Suppose k*z - 75 = 8*z. List the prime factors of z. 5 Suppose 1055 = 4*u - 1645. List the prime factors of u. 3, 5 Suppose -2*a - 6*a = 1128. Let s = a - -239. What are the prime factors of s? 2, 7 Suppose -679 = g - 4*s + 235, -3*s = g + 949. Let o be g/(-10) + (-24)/60. Suppose o = 5*y - 2*y. List the prime factors of y. 31 Suppose -2*h + h + 128 = -q, 0 = 5*q - 15. List the prime factors of h/(-4)*-4 + 1 + -3. 3, 43 Let k(a) = a**3 + 3*a**2 - 4*a - 4. Let s be k(-4). Let v = -1 - s. Suppose y - 5*y - 3*t = -135, -v*y = t - 105. What are the prime factors of y? 2, 3 Suppose 148 = 4*c + 24. Suppose 3*p + 162 = -4*k, 4*k - c = 2*p + 77. Let g = p - -99. List the prime factors of g. 3, 5 Let s be 18/(-63) - (-284)/14. What are the prime factors of -6 + 1195/s - 2/(-8)? 2, 3 List the prime factors of 2*(3 - 13)*-25. 2, 5 Let o(k) = 167*k + 33. List the prime factors of o(3). 2, 3, 89 Let r = 179 - 96. Suppose 3*z - 43 - r = 0. What are the prime factors of z? 2, 3, 7 Suppose 2*f = 3*h + 380, 3*f + 7*h - 10*h - 564 = 0. List the prime factors of f. 2, 23 Let z be (-6 + -66)*6/(-4). Suppose d - z = -d - 2*v, -v = 5*d - 286. List the prime factors of d. 2, 29 Suppose 0 = 5*m - 5*w - 15, -17 + 5 = -2*m + 5*w. Let c be 7/m + 9/(-3). Let h(p) = -p**3 + 4*p**2 + 4*p + 3. List the prime factors of h(c). 19 Suppose -3*h = 4*t - 69, 2*t - 66 = -3*t + 3*h. List the prime factors of -1*(-5)/(t/87). 29 Let u(s) = -s**3 - 3*s**2 + 6*s + 2. Let a be u(-4). Let d be a/10 + 8/5. List the prime factors of 1800/32 - d/4. 2, 7 Let v be 4/(-6) - (-8988)/36. Suppose 3*s - 3*r - 353 = -s, 3*r = -3*s + v. Suppose -3*n + s = -5*l, -n + 4 = 4*l - 2. List the prime factors of n. 2, 11 Let y(g) = g - 36. Let f(j) = -j + 18. Let z be ((-6)/(-12))/(2/44). Let s(w) = z*f(w) + 6*y(w). What are the prime factors of s(-17)? 67 Suppose 17 = -k - 5*a, k + 3*k - 3*a - 24 = 0. Suppose -6*j - 15 = -2*j + 3*n, -k*j = -3*n - 15. Suppose j = -3*b - 2 + 32. What are the prime factors of b? 2, 5 Suppose -r - 8 = 2*k, -9*k + 5*k - 4 = 0. Suppose 5*c = 2*c + 3. Let x = c - r. List the prime factors of x. 7 Suppose -2*k + 5347 = -2189. What are the prime factors of k? 2, 3, 157 Suppose z + 15 = 2*a + 63, 0 = -2*z - 4*a + 128. Let i = -36 + z. What are the prime factors of i? 2, 5 Suppose -3*q = -u - 6 + 20, 2*q - 5*u + 18 = 0. Let x(n) = -4*n**3 - n**2 + 3*n - 1. List the prime factors of x(q). 227 Let t(s) = 25*s - 55. Let r be t(-11). Let b = r + 564. List the prime factors of b. 2, 3, 13 Let u be -16 + 21 + (-324)/2. Let j = -17 - u. List the prime factors of j. 2, 5, 7 Suppose -34*h + 35*h = -2, 5*h + 22 = 4*v. Let s(n) = n**3 + 53. Let o be s(0). Suppose x - o = v. List the prime factors of x. 2, 7 Let d = -452 + 302. Let a = -46 - d. What are the prime factors of a? 2, 13 Suppose 0 = -2*b - 0*b + 16. Suppose b*c - 3*c - 5*q = 685, -2*q + 131 = c. Suppose -c = -3*j - 2*j. What are the prime factors of j? 3 Let a(s) = 2*s**2 - 2*s + 1. Let i be (-9)/(-3) + 3/2*-4. What are the prime factors of a(i)? 5 Let f = 35 + -50. Let j(u) = u**2 + 12*u + 9. List the prime factors of j(f). 2, 3 Let c(a) = a**2 - 5*a - 11. Let h be c(6). Let f be 138/(-8) + 1/4. Let m = h - f. List the prime factors of m. 2, 3 Let z be 13*(-1 + (-3 - -3)). Let v = -3 - 37. Let c = z - v. List the prime factors of c. 3 Suppose 3*y + 194 = 3*u - 106, 5*y - 15 = 0. Let g = 115 + u. List the prime factors of g. 2, 109 Let n be 4/(0 - 6/(-15)). Suppose -2*q - 3 = -j, 3*q - q = 3*j - 9. Suppose g + 0 - n = q. What are the prime factors of g? 2, 5 Let f be (-1251)/6*8/(-6). List the prime factors of f/7 - 14/(-49). 2, 5 Let t(p) = -p**3 - 10*p**2 - 12*p - 23. Let u be t(-9). Suppose 0 = -d - 2*s - u, 4*s + 16 = 0. What are the prime factors of d? 2 Suppose -2*o + 5 = 2*d - 15, 2*d + 4*o - 24 = 0. Let t be d/(32/588) + -2. Suppose h - t = -4*h. List the prime factors of h. 29 Suppose 3*g + 3*z = 2064, -3*g + 3*z = -z - 2092. Suppose -2*a + 6*a = -5*o + 737, g = 4*a - 4*o. List the prime factors of a. 2, 89 Suppose -b = 251 - 1811. What are the prime factors of b? 2, 3, 5, 13 Let q(j) = j**2 + 6*j - 5. Let i be q(-7). Suppose i*y - 12 = 2*m - 6*m, -5*y = 0. Suppose 0 = 2*d - m*d + 22. What are the prime factors of d? 2, 11 Suppose -6*t + 8*t = 18. List the prime factors of t*((-53)/(-3) - 4). 3, 41 Let l(w) = w**2 - 11*w + 4. Let g be l(11). Let n be (-8)/(-12) - g/(-3). Suppose t + 4*h - 17 = -n*t, 2*t - 16 = 2*h. What are the prime factors of t? 7 Let n(k) = -4*k**3 + 3*k**2 + 2*k - 40. List the prime factors of n(-9). 7, 443 Suppose -5*t = -q - 282, t = 4*t + 3*q - 180. Suppose h - 85 = l - 4*l, -8 = 4*h. Let a = t - l. List the prime factors of a. 2, 7 Let y(q) be the third derivative of 11*q**4/12 - q**3/6 + 9*q**2. Let f be y(2). Let c = -18 + f. List the prime factors of c. 5 Let s = -67 + 87. Suppose s*g - 786 = 17*g. List the prime factors of g. 2, 131 Suppose -5*m - 129*j + 125*j + 885 = 0, -5*j + 156 = m. What are the prime factors of m? 181 Let k(m) be the first derivative of 2*m**2 + m - 19. Let w = -1 + 5. What are the prime factors of k(w)? 17 Suppose 0 = n - 3*n. Suppose -l + 2*l = n. Suppose l*v + 107 = 4*t - 3*v, 101 = 4*t + 3*v. List the prime factors of t. 2, 13 Let q(h) = -5*h + 10. Let g be q(3). Let c(z) = -2*z**3 + z**2 + 15*z - 3. List the prime factors of c(g). 197 Suppose -9 = -3*l - 0. Suppose -u + 6*u = -l*w + 360, -5*w = -5*u - 560. What are the prime factors of w? 5, 23 Suppose -2*v = 2*v + 8. Let d(j) = 6*j**2 + j - 2. Let p be d(v). Let w = 43 - p. List the prime factors of w. 23 Let f = -450 - -1489. What are the prime factors of f? 1039 Let q(h) = 14*h - 2. Let o be q(2). Let u = 54 - o. List the prime factors of u. 2, 7 Let w(p) = -p**2 - 9*p + 40. List the prime factors of w(-9). 2, 5 Let i = 645 - -123. Suppose -8*u + 14*u - i = 0. What are the prime factors of u? 2 Let y be (-1 + -8)/((-11)/(-121)). List the prime factors of y*(-3 - 28/(-12)). 2, 3, 11 Let m = 5299 + -3199. List the prime factors of m. 2, 3, 5, 7 Suppose -744 = -2*l - 2*i, 5*i - 208 = -3*l + 910. List the prime factors of l. 7, 53 Let j(n) = -n**3 + 6*n**2 - 2*n + 5. Let r = 5 + 0. What are the prime factors of j(r)? 2, 5 Let x = -890 + 1775. Suppose 5*p - x = -0*p - 3*g, 5*g - 177 = -p. What are the prime factors of p? 3, 59 Let y be (1881/(-38))/(3/(-8)). Let q = y - 75. What are the prime factors of q? 3, 19 Suppose 4*i - 40 = 20. Suppose 0 = 3*p + i, -2*p + 0 - 24 = -2*q. Suppose -3*w - 64 = -q*w. List the prime factors of w. 2 Suppose 0 = -3*j - 12, 2*u - 5*j = -2*j - 70. Let l = u + 85. List the prime factors of l. 2, 11 Suppose -9*v - 16 = -5*v. Let l = 4 + v. Suppose l = 2*k + 2*i - 34, -4*k + 3*k + 12 = -4*i. What are the prime factors of k? 2 Let i be 19 + (0 + 2 - 1). Let q be i/4 + -1 + 86. Suppose -4*g = -q - 102. What are the prime factors of g? 2, 3 Let q = 18 + -49. List the prime factors of 1*3 + (-10261)/q. 2, 167 Let d = 9051 + -6432. List the prime factors of d. 3, 97 Suppose -2*u + 9 + 7 = 0. Let j be 390/(1 + 1) + -3. Suppose -j = -u*h + 168. List the prime factors of h. 3, 5 Suppose -2*h - 3*l = -324, -5*l + 8 = -2. Suppose -f - 4*n + h + 26 = 0, -712 = -4*f - 2*n. What are the prime factors of f? 3, 59 Suppose 22 = z + 2*j + 2*j, 3*z - 1 = j. Suppose -2 = 2*k, p + 2*k - 21 = -0*p. Suppose 2*x = 5*u + 33, z*x = -u + 62 - p. What are the prime factors of x? 19
Let g be (-4)/10 - 297600/375. Let h = g + 794. Solve -4*n + n = 4*x + 14, h = -n - 2*x - 8 for n. 2 Let g be -6 - ((-1)/1 - 7). Let q(l) = -2*l + 6. Let x be q(g). Solve -b - 2 = -x*s, -2*b - 1 = -s + 3 for s. 0 Let b be 43/9 - 5*14/(-315). Solve 3*r = b*v + 18, 1 - 15 = 5*v - 4*r for v. -6 Let w = -29 - -55. Suppose -143*d = -139*d. Let b be 2/((-1)/((-10)/4)). Solve -3*z = 2*n - 1, 2*z + d*z - w = b*n for z. 3 Suppose 985 - 357 = -2*d. Let m = d - -321. Solve -2*k + 3*p = -m, -k + 3*p + 7 = -2*p for k. 2 Suppose 13*p = 8*p - 7*p. Solve 2*o = -p*o - j - 9, -5*o - 5*j - 25 = 0 for o. -4 Suppose -b = 2 - 4. Let r = -1 + b. Let z be (-2)/3*(6 - (-12 + (6 - -15))). Solve -z*p + 4 = 5*w - 13, -p = -r for w. 3 Let w(s) = s**2 + 22*s - 2. Let f be w(-20). Let q = -37 - f. Solve -2*x = -2*a, -x + 0*x = q*a - 6 for x. 1 Let t(m) = -m**2 - 33*m - 286. Let k(b) = -b**2 - 31*b - 286. Let x(y) = 5*k(y) - 6*t(y). Let d be x(-8). Solve 4*u + 4*g + 10 = d*u, 4*u = g - 8 for u. -3 Let k be (48/168 - (-171)/14)*2. Let z(i) = 6*i - 145. Let n be z(k). Solve 6*r = 2*f + 3*r - 21, n*r = -3*f - 16 for f. 3 Suppose -5*d + 2*u = -25, 3*d = -15*u + 12*u - 6. Suppose 3*f = 8*r - d*r + 14, 11 = 4*f + r. Solve -25 = -5*o, -2*l + 3*o = -f*l + 12 for l. -3 Let j(o) = -23*o**3 - 5*o**2 - 7*o - 5. Let y be j(-2). Let w = y + -169. Solve -b + q + 5 = 0, -w*q - 19 = -5*b + 2*b for b. 1 Let b = -19 + 21. Let w be 14/(-4)*(2 + 152/(-28)). Suppose -4*r - 2*x = -w, 3*x = -b*r - 2*r + 8. Solve 0 = 4*l + 4*z, -4 + 0 = r*l + 3*z for l. -2 Let f(p) = -9*p - 37. Let v be f(-5). Suppose a = 20 - v. Suppose j - 54 - 18 = -5*d, a = d + j. Solve 0*b + 5*b - 4*q = d, 0 = b + 2*q - 3 for b. 3 Let l = -75 - -89. Let a = l + -73. Let s = a - -68. Solve 2*i - s = 3*c, 4*c + i - 1 = -24 for c. -5 Suppose -143*l + 147*l - 8 = 0, -4*s + 100 = -2*l. Solve 3*a + s = 5*b, 2*b + 10*a = 13*a + 14 for b. 4 Suppose 16*c - 12*c = 8. Suppose c*p = -13 + 19. Let z be (-2)/p + 11/3. Solve 2*v + 5*i = -13, 2 + 7 = z*v - 2*i for v. 1 Let y(l) be the second derivative of -7*l**3/3 - 18*l**2 - 205*l. Let a be y(-4). Solve 4*m = 4*r + a, 8*m - 10 = 2*r + 5*m for r. -5 Suppose 0 = -4*q - 0*q + 24. Let a be 10/3*27/q. Solve -3*y = 5*l + 10, 2*y + 2*l + 3*l + a = 0 for y. 5 Suppose -j = 2*j + 3. Let w(d) = -2*d**3 + 2*d**2 - 1. Let g be w(j). Let q be (1 - g)*21/(-14). Solve -7 = v - q*l - 0*l, -5*v - 3*l + 37 = 0 for v. 5 Let i(o) = -43*o + 908. Let s be i(21). Solve 5*q - 3*a + 28 - 18 = 0, -s*q = -4*a + 15 for q. 1 Let h(y) = -y**3 - 11*y**2 + 7*y - 58. Let f be h(-12). Solve f*b = 3*v + 22, 4*b + 2*v = -2*v + 4 for b. 5 Let q = -654 - -669. Solve -5*m = -4*p - q, m + 3 = -2*p + 6 for p. 0 Let h(n) = n**2 - 43*n + 284. Let l be h(35). Solve -3*z - 2*p = -l*z + 9, 0 = -2*z - 5*p - 9 for z. 3 Let l = 19 - -3. Let c be (10 - (l + -8))*1/(-2). Solve 0*t = t, 0 = c*s - 2*t for s. 0 Let p = 238 - 82. Suppose 5*s - 44*s + p = 0. Solve 2*q + 4*w = 28, s*w + 41 = 4*q + 9*w for q. 4 Suppose -66 = -3*k - 3*f, -6 = k + 4*f - 40. Solve -5*p + 4*i = 22, 13*i = p + k*i - 13 for p. -2 Let t be 6/(3 - (-39)/(-26)). Solve o + t*n - 3*n = 2, 4*o - 8 = 3*n for o. 2 Let q be (1602/99 - 16) + 4/(-22). Solve 3*n - 9 = 4*d + 8, -n - d - 6 = q for n. -1 Let k = 6114 - 6114. Solve -4*u + 1 + k = 5*n, -u = n - 1 for u. 4 Suppose -k = 3*k - 80. Suppose 0 = -4*u - v + 13, 3*v = 13*u - 18*u + 25. Let d be (-8)/(-20)*u/(16/k). Solve -2*w = -q + d + 3, 4*w = 5*q + 4 for q. -4 Let v(z) = -z**3 - 3*z**2 - 3*z - 7. Let g be -10 + 8*2/4. Let y be 3/((-9)/g)*12/(-8). Let a be v(y). Solve a*k - n + 0*n - 10 = 0, 0 = 3*n + 6 for k. 4 Suppose 3*d - 20 = -2*d. Suppose -d*r + 19 = -1. Let n be (0 - 0) + (0 - 1) + 5. Solve -5*a - r*w = 10, -6*a + 4*a = n*w + 14 for a. 3 Suppose -78*k + 78 + 90 = 12. Solve k*p = 7*b - 6*b + 11, -b - 23 = -5*p for b. -3 Let q be (0 - (-60)/(-8))*-2. Suppose q*o = 11*o. Solve d + f - 2*f + 1 = o, -f + 4 = 0 for d. 3 Let j be ((-3)/13)/((-237)/2054). Solve 3*x + 21 = -5*f, 28 = -95*x + 91*x - j*f for x. -7 Suppose -440*f + 444*f = 24. Let q be -2 - (-6)/(f/7). Solve -2*b - 5*p + 17 = -4*b, -9 = 4*b - q*p for b. 4 Suppose 4*i + 4*l + 180 = 260, 48 = 3*i + l. Solve 0 = i*x - 17*x + 5*y - 11, 5*x + y - 19 = 0 for x. 3 Suppose -1 = 2*v + 3*a - 17, 3*a - 20 = -4*v. Let q = -103 - -108. Suppose -j + y - 4*y = v, 10 = -q*y. Solve -2*b - j*s = -s + 15, 4*s + 20 = -4*b for b. 0 Suppose 5*n + 25 = 5*o, 6*n - n = 0. Suppose 4*y - b - 29 = 11, 40 = 4*y - o*b. Suppose -8*q + y*q - 4 = 0. Solve 2*k + 8 = 6*k - q*x, 4*x + 16 = 0 for k. 0 Suppose 0 = -s - 2, -28 + 140 = -2*x + s. Let p be 4*(x/12 - -6). Solve 4*w - 5*g = -19, -1 = 3*w + p*g - 13 for w. -1 Suppose -85 = 2*g - u, 0 = 3*g - 5*u + 74 + 36. Let t be (g/(-12) + -4)*-28. Solve i + t = 3*b + 19, 0 = -b + 4*i - 4 for b. -4 Let k be 4/(-4)*6/3. Let r be 24/12 - (2 + k)/1. Solve -l = r*m + 9, 3*m + 2 = 2*l - 1 for l. -3 Let c(h) = h**3 - 4*h**2 - h + 4. Suppose -2*o + o + 24 = -5*z, 20 = 4*o - z. Let u be c(o). Solve -3*s + 7 = -u*t + 2*t, 3*s - 3 = 0 for t. 2 Suppose 8*u + 25*u = 693. Solve u*n - 4*z + 6 = 16*n, z = -n + 6 for n. 2 Let s be (-40)/(-100) - 5/(50/4). Suppose s = 25*o - 18*o - 28. Solve 3*g = -2*k + g, -3*g = o*k + 1 for k. -1 Let q be 10/4 - 5*((-216)/16)/27. Solve 12 = -q*f - 3*i, -f - 5*i - 20 = f for f. 0 Let t(f) = 7*f - 157. Let x be t(23). Solve 4*g - x*s = -9*s - 23, 1 = -5*g + 3*s for g. -2 Suppose 3*f + 2*g = 401 - 336, -g = 2*f - 42. Solve -c = -3*c - y - 11, -5*y - f = 4*c for c. -6 Suppose -3 - 33 = -4*g. Suppose g*t + 5*t - 42 = 0. Solve 4*s = -t*l + s - 3, 4*l - 11 = -s for l. 4 Let s = 88 + -112. Let g be s/(-4) + 2 - 3. Suppose 3*o - n = -3, 12 = 5*o + g*n - 3. Solve o = -l - 5*c - 0*c + 21, 41 = -4*l + 5*c for l. -4 Let c(z) = z**2 - 11*z + 37. Let s be c(6). Suppose -18*l - s + 7 = 0. Solve 2*u = -5*p - l*p + 13, -2*u + 7 = 3*p for p. 3 Suppose -3*d = 2*t + 6 - 16, 2*d = 2*t. Solve 15*v - 11*v - 3*o = -15, -d*v - 4*o - 2 = 0 for v. -3 Let v(k) = -11*k**2 - 4*k - 8. Let u be v(-3). Let l = -93 - u. Solve -5*w - 39 + 11 = -l*n, 12 = 2*w + 5*n for w. -4 Let f be ((-4)/8)/(2/(-96)). Let u(q) = -f*q - 17*q - 18 + 40*q + 6. Let k be u(-15). Solve -4*o + y + 0 = 20, k*y = 12 for o. -4 Let k = -30 + 18. Let b = 14 + k. Let l(r) = 2*r**3 - 2*r**2 + 2*r - 1. Let z be l(2). Solve 13 = -h - 2*s, 2*h + b*s + z = s for h. -3 Suppose 8*a = a + 21. Let h be 13 - (1 + 2 + a). Solve 15 = 5*s + 5*m, -h = -2*s - s - 5*m for s. 4 Suppose n + x + 200 = 4*x, 3*n + 5*x + 572 = 0. Let f = n + 197. Solve -15 = -4*g + 2*o - f*o, -3 = -5*g + 4*o for g. 3 Let q(f) = 4*f**3 + 4*f**2 - 4*f - 5. Let d be q(2). Solve -d*a + 2*g = -37*a, -2 = 2*a + 3*g for a. 2 Let k(c) = 125*c**2 + 1499*c - 10. Let i be k(-12). Solve -5 = t, i*t = -52*m + 49*m - 34 for m. -8 Suppose -136*w + 4 = -134*w. Suppose -3*u + w*u + 4*h + 16 = 0, -16 = -2*u + 4*h. Solve 11 = 2*d + 5*m, -3*d = -4*m - u*m - 5 for d. 3 Let m = 8 - -53. Let g = 5 - m. Let t = g - -59. Solve 0 = 2*z - r + 1, 2*z - 2*r = -3*r - t for z. -1 Let x(n) = 3*n - 34. Suppose 0 = w + 2*s - 14, -4*s = 7 + 1. Let p be x(w). Solve -m + p = 4*j, 5*j - 53 = -3*m - 21 for j. 4 Let b be (52 - 54)/(3/(-6)). Solve 20 = 4*u - v, -9*u = -b*u + 5*v for u. 4 Let v(g) = -6*g**2 - 479*g + 93. Let b be v(-80). Solve -3*o + b*q - 17*q = -31, 2*q + 2 = 2*o for o. 5 Suppose -155 = -5*q + 5*g, 3*q + 43*g - 45 = 38*g. Solve 0 = -23*j + q*j + 3*d - 19, -5*d + 30 = 3*j for j. 5 Suppose -4*x = -4*k - 17 - 59, 2*x + 5*k = 38. Solve -22 + x = -h + 3*t, 3*h = t + 1 for h. 0 Let z = -15 + 31. Let g(w) = 39*w - 269. Let i be g(7). Solve 0 = 3*h - i*a + z, 5 = -h + a - 0*a for h. -4 Let p be (-12)/(-264)*92 + ((-2)/(-11))/(-1). Solve 12 = 4*d - 8*d - 2*h, p*d + 4*h + 8 = 0 for d. -4 Suppose 2*i + 10 = -4*g, 2*g = 77*i - 81*i + 10. Let q be (-2)/3 + (-30)/(-18). Solve 5*n + 5 = -i*l, l + 2 - q = 2*n for n. 0 Let b(m) = -m**3 + 7*m**2 + 6*m + 18. Suppose -74*t + 464 = -16*t. Let h be b(t). Solve -a - 3*a = -4*z, 0 = -3*z + h*a - 3 for z. -3 Let f(z) = z**3 + 4*z**2 - 13*z - 43. Let a be 1/((3 + -1)/(-6)). Let y be f(a). Solve -y*q - 3*t + 28 = -5*t, 24 = q - 5*t for q. 4 Let k = 59 + -50. Let l be (k/12)/(94/(-24) + 4). Solve -7*u + o - l = -3*u, 3*u + 5*o = -24 for u. -3 Let c = 53 + -63. Let d = c + 46. Let b be 4*(-3)/(-24) - d/(-8). Solve v - 14 = -v + k, v = -b*k - 15 for v. 5 Let u(w) = -171 + 12*w - 4*w + 127. Let i be u(10). Solve 4*s = 4*y - i, -4*s + 3*y - 2*y - 21 = 0 for s. -4
Suppose 0 = -2*q - 4 - 4. Suppose 2 - 3 = a. Sort q, 0, a in descending order. 0, a, q Let t = 4.7 + -1.7. Put t, -1, -3/2 in increasing order. -3/2, -1, t Let r = 16 + -20. Let c = r - -5. Sort -5, c, 4 in ascending order. -5, c, 4 Let s be (104/20 - 4)/((-6)/20). Suppose -16 = -4*w, -g + 3 + 3 = 2*w. Put g, s, 5 in decreasing order. 5, g, s Let k(o) = o**3 + 6*o**2 + 6*o + 6. Let u be k(-5). Let w = 1 - -5. Let j be 15/w*8/5. Sort j, u, -4. -4, u, j Let v = -5.15 - -0.15. Suppose -2*s - 2*x = -18, -3*x = -5*s + 17 - 4. Sort s, 0.5, v in increasing order. v, 0.5, s Let m = 7.2 + -7. Let x = m + 12.8. Let w = x + -9. Put -1/5, w, 5 in ascending order. -1/5, w, 5 Let d = 14 + 2. Suppose d = 3*l + l. Put -2, l, 3 in descending order. l, 3, -2 Let l(r) = -5*r - 1. Let i be l(-1). Suppose -2*g = 2*u, 3*g = 3 + 6. Let z be (4/(-6))/(10/15). Put z, i, u in increasing order. u, z, i Let p(d) = 4*d**2 + d - 1. Let t be p(1). Let i be (-2)/9 - (-158)/711. Put i, t, 5 in increasing order. i, t, 5 Suppose 6 + 22 = 7*o. Suppose 11 = -4*g + 3*m - 6*m, 20 = -5*g - 5*m. Sort o, g, -1 in descending order. o, g, -1 Suppose -s + 3*h - 3 = 2*s, 0 = -4*s + 5*h - 7. Suppose 4*j = -0*j + 20. Suppose 0*l - 2*l - 3*u = -5, -4*l + j*u = 23. Put s, 1, l in decreasing order. s, 1, l Suppose 8*r - 69 + 29 = 0. Put -1, 0.4, r, -0.1 in decreasing order. r, 0.4, -0.1, -1 Let t = -4.07 + 0.07. Let v = 5.7 - 12.7. Let x = v - t. Put 2, -0.4, x in ascending order. x, -0.4, 2 Let p(c) = -c**3 - 4 + 3*c**2 - 3*c + 8*c + 0*c**3. Let x be p(4). Put x, -3, 2 in decreasing order. 2, x, -3 Let n = -0.49 - -0.49. Sort -6/7, 5, n in increasing order. -6/7, n, 5 Suppose 3*h = -0*h - 6. Let r = h - 3. Suppose -2*a + 6*a - 20 = 0, -30 = 5*v - 4*a. Sort v, r, 2 in descending order. 2, v, r Let k = -35/2 + 15. Sort 0.2, 3, -12, k in descending order. 3, 0.2, k, -12 Let u = -1 + 3. Suppose 7 = u*v + i, 4*v = v + 2*i. Suppose -v*b + 4 = -4. Put 0, b, 1 in decreasing order. b, 1, 0 Let m = -188 + 192. Put 0, m, 5, 0.9 in ascending order. 0, 0.9, m, 5 Let p = 1 - -1. Suppose -4*z - f + p*f = -7, -3*f - 14 = -5*z. Suppose -5*y = -0*y - 5, -3*i - 4*y - 2 = 0. Put z, i, 4 in descending order. 4, z, i Suppose 10 = -2*h - 3*h + 5*z, 0 = -5*z. Let c be -6 - (-4 + h/(-1)). Sort -2/13, c, 1/9 in increasing order. c, -2/13, 1/9 Let y(b) = -7*b + 2. Let p be y(-2). Suppose 1 = 3*u - f - 8, -5*u + 2*f + p = 0. Sort u, 1, 5 in decreasing order. 5, u, 1 Let c(m) = -m**2 - 6*m + 5. Suppose -5*y + y = 28. Let i be c(y). Let u(g) = g**3 + 2*g**2 - 3*g - 4. Let o be u(-3). Sort o, i, 5 in decreasing order. 5, i, o Let x = 7 - 4. Suppose -x*p + 4*p = 2*g - 14, -4*g = 5*p. Suppose -5*n - 13 = 2. Sort n, p, 5. p, n, 5 Suppose 3*h - 25 = 8*h. Sort -4, h, -2 in increasing order. h, -4, -2 Let s(v) = -3*v - 22. Let r be s(-8). Put 0, r, 3 in ascending order. 0, r, 3 Let c = 35 + -35.1. Sort -4, 0.2, c in ascending order. -4, c, 0.2 Suppose 0 = -3*w - 1 - 14. Let y be (w + 3 + 1)*0. Sort y, -2, -5 in descending order. y, -2, -5 Let k be (10/(-4) + 2)*-4. Let i be ((-9)/18)/((-2)/12 - 0). Let g(o) = o**2 - 2*o - 3. Let j be g(3). Put k, j, i in increasing order. j, k, i Let x = -43 + 131/3. Put -5, -1/4, x in descending order. x, -1/4, -5 Let h(k) = 2*k**2 - 3*k - 2. Let g be h(-1). Sort -2, g, 5 in increasing order. -2, g, 5 Let u = -0.06 + 0.06. Let z = -0.9 - -1.2. Sort z, 2, u in descending order. 2, z, u Let f(g) = -g**2 + 3*g + 2. Let c be f(3). Put 4, 3, c in ascending order. c, 3, 4 Suppose -7*o = 5*u - 2*o - 50, 10 = 5*u - 3*o. Suppose l + 23 = -0*l + 4*k, -l = -u*k + 28. Put l, -7, 0 in descending order. 0, l, -7 Let g(n) = -n - 7. Let r be g(-6). Let z be r - (43/60 + -1). Let k = z - -1/20. Sort -0.5, -5, k in ascending order. -5, k, -0.5 Let h = -2.73 - -2.43. Let y be 1/(-5) + 28/(-10). Sort y, h, 1/8 in increasing order. y, h, 1/8 Let g = -0.2 + -0.3. Let s be (-128)/(-6) - (-2)/(-6). Let b be (-40)/s + 8/4. Put b, g, -3 in decreasing order. b, g, -3 Let t(r) = 2*r + 12. Let c be t(-7). Let w be (c + 1)/((-117)/18). Sort 5, -2, w. -2, w, 5 Suppose 6*g - 29 + 5 = 0. Sort 7, g, 1/10. 1/10, g, 7 Let k = -16 - -11. Let g = -4.6 - -8. Let j = g + -0.4. Put j, k, 1/6 in ascending order. k, 1/6, j Let r(k) = -k**3 + 12*k**2 - 12*k + 12. Suppose 0 = -g + 20 - 9. Let q be r(g). Sort 2, 0, q in increasing order. 0, q, 2 Let j(k) = -k**2 - 20*k - 3. Let u be j(-20). Sort 2, u, -4 in decreasing order. 2, u, -4 Let m be 28/6*(-21)/(-14). Let k(v) = v**2 - 6*v - 10. Let t be k(m). Sort 0, t, -1 in decreasing order. 0, -1, t Let v = 44 + -29. Let t = 14 - v. Put t, 1, 2 in ascending order. t, 1, 2 Suppose -2*z + 4*z = 0. Suppose k = -4*g - 0 + 23, -18 = -k - 3*g. Let w = k + z. Sort w, -3, 4. -3, w, 4 Let y be ((-8)/(-6))/((-9)/27). Let i(q) = -q - 6. Let x(b) = -b**2 - 4*b - 6. Let w be x(-4). Let m be i(w). Sort 2, y, m in descending order. 2, m, y Let d = -2/63 + -59/126. Sort 32, d, -3 in decreasing order. 32, d, -3 Let m(k) = k**3 - 9*k**2 + 9*k - 6. Let j be m(8). Sort 4, 5, j in decreasing order. 5, 4, j Let c be 1 + 1/(-2)*-2. Let d = 52 + -82. Let s be (d/25)/((-4)/10). Put 2/7, c, s in increasing order. 2/7, c, s Let b = -2.9 + 3. Put b, 0.06, -5 in increasing order. -5, 0.06, b Let r(n) = -4*n**2 + 6*n + 6. Let v be r(-1). Let a = -31 - -125/4. Put v, a, -5/2 in descending order. a, -5/2, v Let o = 38 - 38.05. Put -1/2, -5, o in decreasing order. o, -1/2, -5 Let f = 47/6 + -8. Sort f, 1/6, 0.2 in descending order. 0.2, 1/6, f Let g(d) = d**2 - 3*d - 2. Let v be g(4). Suppose m = -3*o + 2*o + 2, 0 = -v*m + 2*o + 4. Put -1/4, m, 0.5 in ascending order. -1/4, 0.5, m Let s be (1 - 2) + (4 - (10 - 6)). Sort 3, s, 2, -8 in ascending order. -8, s, 2, 3 Let y be ((-6)/(-4))/((-2)/4). Let q = 8 + -4. Let a(j) = j**3 - 5*j**2 - 5*j - 5. Let i be a(6). Sort q, y, i in decreasing order. q, i, y Let n = 8.9 + -12.9. Sort 5, n, 2/3, 0.3. n, 0.3, 2/3, 5 Let j(d) = 4*d**3 + 2*d**2 + 2*d + 1. Let f be j(-1). Sort -4, 1, f in ascending order. -4, f, 1 Let h be (2 - 0)/(4/(-10)). Suppose d = 4*d - 6. Put -1, h, d in ascending order. h, -1, d Let p = 15/56 + -1/56. Sort -5, p, -0.2. -5, -0.2, p Let n = 2.1 - 2.06. Let z = n + 0.36. Put 0.1, z, 1/3 in descending order. z, 1/3, 0.1 Let b be (-2 - 35/(-15))*-3. Suppose f = -3*f + 20. Sort 3, f, b. b, 3, f Let p = -106 - -102. Sort 5, p, -1, -2 in descending order. 5, -1, -2, p Let p = -6 + 4. Let k be 13/4 + (-4)/16. Suppose k*l = 4*l. Put 3, p, l in descending order. 3, l, p Let l(y) = 22*y + 6. Let b be l(5). Suppose -35 - 55 = 5*r. Let f be b/(-36) + (-4)/r. Put f, -2, 1 in increasing order. f, -2, 1 Let j(h) = h + 7. Let a be j(5). Suppose -2*i + 5*r + 16 = -4*i, -2*i + 2*r = -a. Sort i, 0, -5 in decreasing order. i, 0, -5 Suppose x - 2*h + 6 - 16 = 0, -h = x + 5. Suppose 5*i = 4*t + 15, x*t + 2*t + 4*i - 12 = 0. Let n = 6 - 8. Put 4, t, n in decreasing order. 4, t, n Let m = -0.12 - -0.13. Let f = -0.39 - m. Let t = -5.03 - -0.03. Sort t, f, -1/6 in decreasing order. -1/6, f, t Let r(b) = 1. Let a(f) = f**2 + 4*f - 6. Let j(v) = a(v) + 6*r(v). Let w be j(-5). Let g(s) = -s**2. Let h be g(1). Sort w, -3, h. -3, h, w Let g = -0.75 - -0.75. Sort 4, g, 0.5, 1/7. g, 1/7, 0.5, 4 Suppose 3*j - 2*l = -11, l - 3 = j + 2. Sort 9, -2, j, -5. -5, -2, j, 9 Let k = -34 - -33. Sort -11, k, -4 in ascending order. -11, -4, k Let x(d) = -6*d - 3. Suppose -3*n - 5 - 1 = 0. Let u be x(n). Let t = u - 14. Put t, -4, -3 in increasing order. t, -4, -3 Suppose 4*u = -3*h + 1, 0*u - 4*h = u - 10. Put 3, u, -4 in increasing order. -4, u, 3 Let l = 3.3 + -0.3. Let h = 5.7 + -5.3. Sort l, -1, h in increasing order. -1, h, l Let p be 12/42 + (-20)/21. Let n = -28/57 - -3/19. Put p, n, -3 in ascending order. -3, p, n Suppose 0 = 2*b + 5*u + 30, -3*b + 7*u - 26 = 5*u. Let s be b/12 - 1/6. Let t be (s/(1/(-4)))/(-1). Sort 2, t, 1 in increasing order. t, 1, 2 Let f = -1.3 - -0.8. Sort f, -1, 0 in increasing order. -1, f, 0 Let m = -23 - -20. Let s = 4 - 9. Put s, -2, m in decreasing order. -2, m, s Let o = 0 - 2. Suppose n + 1 = 4. Put 0, o, n in increasing order. o, 0, n Let s = -6 + 8. Suppose -s*i = -163 - 47. Let l = -733/7 + i. Sort l, 2, -2 in decreasing order. 2, l, -2 Suppose -k - v - 4 = 1, -3*k + 3*v = -3. Put -4, k, 4 in increasing order. -4, k, 4 Let c = -0.002 + 0.402. Put 3, -4, c in increasing order. -4, c, 3 Let a be (5 - 4)*1 - -4. Let x = -14 - -9. Sort x, a, -2 in decreasing order. a, -2, x
Is 1562 a factor of 41252420? True Is 12239442 a multiple of 2653? False Is 33 a factor of 362812? False Is 15205038 a multiple of 6? True Does 1622 divide 1063594737? False Does 32 divide 953695877? False Is 1709 a factor of 512333069? False Does 442 divide 308232862? False Is 71732999 a multiple of 3499? True Is 14599552 a multiple of 19? False Does 1223 divide 28380938? True Is 5 a factor of 968680? True Does 2741 divide 965125287? True Does 244 divide 3122838? False Does 18 divide 16133076? True Does 7 divide 419094102? True Is 160 a factor of 7458720? True Is 19 a factor of 51518917? False Does 21 divide 360109191? False Is 1939353406 a multiple of 8303? False Is 103 a factor of 169326333? False Is 1918 a factor of 46733988? True Is 1279 a factor of 102276514? True Is 285 a factor of 143199675? True Is 1856296236 a multiple of 7? False Does 21 divide 31326875? False Does 1187 divide 608973732? True Is 499 a factor of 57978311? True Is 69 a factor of 62515173? True Does 622 divide 70056482? True Does 672 divide 122783808? True Is 237 a factor of 24665005? False Is 250673282 a multiple of 108? False Is 79362711 a multiple of 432? False Is 77 a factor of 41781397? False Does 920 divide 68149243? False Is 276914043 a multiple of 1587? True Is 21 a factor of 1818033? True Is 173 a factor of 1470002037? False Is 52 a factor of 272288172? True Is 54148290 a multiple of 1435? True Is 138179910 a multiple of 85? True Is 100 a factor of 27196210? False Is 520988 a multiple of 3? False Is 84454148 a multiple of 116? True Is 46713713 a multiple of 757? True Is 623107603 a multiple of 1118? False Does 801 divide 53292933? True Does 7456 divide 499456681? False Does 41 divide 899293081? False Is 184125110 a multiple of 1514? True Is 2286 a factor of 118641114? True Does 1497 divide 46061193? True Is 2547380128 a multiple of 2104? True Does 472 divide 21941784? False Is 162106510 a multiple of 113? False Is 2304850834 a multiple of 4387? True Is 63 a factor of 1112469593? False Does 27 divide 6116148? True Is 4313 a factor of 123882299? True Does 105 divide 281141797? False Is 80557846 a multiple of 14? False Does 15 divide 108019650? True Is 9 a factor of 16375779? True Does 1083 divide 260647776? True Does 640 divide 30343680? True Is 434 a factor of 184393146? True Does 29 divide 1357241? False Does 511 divide 4029205? False Is 519866452 a multiple of 394? True Is 832 a factor of 240680960? True Is 86177879 a multiple of 174? False Does 48 divide 60941136? True Is 986 a factor of 21370564? True Does 213 divide 95613812? False Is 41 a factor of 34685221? True Is 3077 a factor of 4331297894? False Is 2 a factor of 43699926? True Does 2454 divide 811181970? True Is 4475 a factor of 556457300? True Is 1031 a factor of 321510567? False Is 18 a factor of 229489603? False Is 2099565081 a multiple of 927? True Does 10 divide 92154960? True Is 671 a factor of 86275838? True Does 3 divide 10782084? True Is 110828559 a multiple of 47? False Is 1081 a factor of 88648567? False Is 17764921 a multiple of 21? False Is 2176 a factor of 215476224? True Is 146 a factor of 91283288? True Is 3533376 a multiple of 56? True Is 430 a factor of 66519775? False Is 43 a factor of 7438785? True Does 447 divide 60944328? False Is 106918833 a multiple of 931? True Is 46 a factor of 12043674? True Is 360116873 a multiple of 273? False Is 277 a factor of 29375850? True Is 812125866 a multiple of 12? False Does 1789 divide 282905304? True Is 127 a factor of 63756286? True Does 116 divide 47433885? False Is 28152279 a multiple of 784? False Is 169 a factor of 11858899? True Is 1412108306 a multiple of 223? False Is 1357840423 a multiple of 208? False Does 66 divide 536565618? False Does 324 divide 8491871? False Is 167962884 a multiple of 811? False Is 725706961 a multiple of 2161? False Does 40 divide 128032800? True Does 2705 divide 888616090? False Is 7991 a factor of 379244869? True Is 654214050 a multiple of 2889? True Does 13 divide 30988908? False Is 1653 a factor of 692759230? False Does 8 divide 29157600? True Does 168 divide 57209813? False Does 2184 divide 18520320? True Is 12 a factor of 30468132? True Does 74 divide 2117387997? False Does 52 divide 39865488? True Is 4 a factor of 4855411? False Is 75 a factor of 12157575? True Is 209 a factor of 1659669? True Is 25 a factor of 221190214? False Is 192 a factor of 2070907843? False Is 409 a factor of 505657170? False Is 63 a factor of 186257844? False Is 134 a factor of 10134286? True Is 39 a factor of 62497266? True Is 464402250 a multiple of 1125? True Is 2376 a factor of 3185534088? True Does 733 divide 515166210? False Does 11 divide 7658332? True Is 712 a factor of 55642800? True Is 849 a factor of 36923415? False Does 32 divide 17604512? True Does 263 divide 1188234? True Is 18 a factor of 1000395720? True Does 66 divide 73611144? False Is 42 a factor of 202693264? False Is 669314177 a multiple of 17? False Is 17118646 a multiple of 155? False Is 5693352 a multiple of 21? True Is 4 a factor of 6654012? True Is 5880052 a multiple of 696? False Is 505175381 a multiple of 86? False Is 10424694 a multiple of 7? True Does 62 divide 110810678? True Does 19 divide 311522746? True Does 28 divide 11512676? True Is 347400308 a multiple of 22? False Is 30 a factor of 371501790? True Is 484306680 a multiple of 169? True Is 43 a factor of 46455136? True Is 70 a factor of 3927973638? False Is 53 a factor of 91087814? True Is 433032140 a multiple of 4? True Is 15 a factor of 22803738? False Is 59164729 a multiple of 6? False Is 1380139304 a multiple of 50? False Does 5 divide 601225? True Is 423 a factor of 792655647? False Is 1292 a factor of 1766074852? True Is 385685832 a multiple of 2338? True Is 47212627 a multiple of 1960? False Is 2588 a factor of 2508227684? False Is 3623012904 a multiple of 84? True Does 1517 divide 7198165? True Does 2675 divide 1591788174? False Is 4 a factor of 942983851? False Does 69 divide 248293855? False Does 78 divide 259700753? False Is 4248678321 a multiple of 29? True Does 54 divide 15198328? False Is 6178794 a multiple of 1542? True Is 66103819 a multiple of 467? False Is 10026929 a multiple of 731? False Is 339789816 a multiple of 54? True Does 21 divide 12075420? True Is 102 a factor of 4162523? False Is 634 a factor of 1395593? False Is 44752942 a multiple of 1387? True Is 1038869152 a multiple of 328? True Is 438118764 a multiple of 17? True Is 59 a factor of 66429385? False Does 35 divide 207522210? True Does 1888 divide 350767110? False Is 100779086 a multiple of 1005? False Is 21 a factor of 261216963? True Does 7 divide 1280835682? True Is 120944666 a multiple of 545? False Is 456636685 a multiple of 337? True Is 36724454 a multiple of 489? False Is 21665556 a multiple of 108? True Is 45 a factor of 2148466109? False Does 119 divide 27223164? False Is 141 a factor of 13393867? False Does 1274 divide 48380820? False Is 187 a factor of 15292270? False Is 122 a factor of 1538850? False Is 8 a factor of 2258336780? False Does 5511 divide 475901898? False Is 119 a factor of 25595353? True Is 799977068 a multiple of 316? True Does 318 divide 1408855116? True Is 118597541 a multiple of 208? False Is 27430320 a multiple of 23? False Does 1801 divide 615332790? False Is 26 a factor of 359190078? True Is 620 a factor of 114242440? True Does 47 divide 3198690891? True Is 294 a factor of 460348335? False Does 158 divide 69948654? True Is 100 a factor of 314779663? False Does 22 divide 95754020? False Is 847 a factor of 5636785? True Is 462 a factor of 205187136? True Is 63351180 a multiple of 103? True Does 638 divide 45867607? False Is 28 a factor of 2212820120? True Is 5 a factor of 4523400? True Is 25 a factor of 5123689? False Is 9 a factor of 826559046? True Is 2141655767 a multiple of 233? False Is 7082214210 a multiple of 270? True Is 1430781377 a multiple of 487? False Is 7301571159 a multiple of 44? False Does 17 divide 14085563? False Does 520 divide 132984800? True Is 1287434 a multiple of 12? False Is 224 a factor of 30157120? True Is 1655915905 a multiple of 542? False Is 79737160 a multiple of 1256? True Is 82803475 a multiple of 25? True Is 579202931 a multiple of 769? False Does 216 divide 27097200? True Is 219 a factor of 184259592? True Is 12153882 a multiple of 45? False Is 4 a factor of 338047935? False Is 654 a factor of 160975560? True Does 31 divide 473223339? True Does 46 divide 24023868? True Is 4277182 a multiple of 24? False Is 36 a factor of 86425123? False Does 925 divide 469456704? False Is 22 a factor of 30239286? True Is 1035 a factor of 986796010? False Is 28 a factor of 100208910? False Is 361100410 a multiple of 86? False Is 343 a factor of 17602254? False
(-139)/(40032/1600)*(-4)/(-10) -20/9 (12792/(-143910))/(10/(-12)*2/10) 8/15 (((-15309)/36)/81*2)/(5/(-20)) 42 (8/(96/(-20))*((-6045)/50)/13)/(-2) -31/4 Evaluate (-285)/(-2907)*34*135/1275. 6/17 Evaluate (24/(-20))/((-94)/(16450/(-21))). -10 Evaluate ((-15)/(-10))/((-6)/(-4))*(-16)/14016*-12. 1/73 (-4*10/150*(-9)/(-12))/(1158/(-60)) 2/193 What is the value of (-56)/144*(-2548)/(-26754)? -1/27 Evaluate 11*172/(-11)*2/8. -43 What is 497/(-213)*6*(-2)/2? 14 What is the value of (-2)/5*(((-1258)/111)/(-34))/((-4)/(-15))? -1/2 (-1)/(-5)*(-170)/1326*13*-150 50 What is the value of 66/132*6*67*(-5)/(195/13)? -67 What is the value of (((-35)/25)/(-1))/((-1)/(-245)*-7)? -49 Calculate (-1446)/(-241)*236/12. 118 What is ((-10)/((-3600)/30))/(6/8)? 1/9 (3680/128)/((-138)/(-48)) 10 Calculate ((-3762)/(-37620))/((-3)/(-1830)). 61 What is 714/108290*(-35)/6*4/(-10)? 1/65 What is the value of 15/175*(-14*11/539)/(18/21)? -1/35 What is the value of (-35)/(-10)*-1*(-45)/((-1350)/(-420))? 49 Evaluate (20/(-3))/5*945/35. -36 Evaluate 3/9*(-11799)/69*-1*1/3. 19 What is ((-40)/16*(-27)/(-18))/(246/2296)? -35 Evaluate (496/(-4))/((-2670)/1335). 62 What is the value of ((-156)/585)/(1/(-3))*15/(-106)? -6/53 What is the value of (((-6)/(-40))/((-173)/(8650/240)))/(2/8)? -1/8 What is the value of 25/((-550)/264)*(-10)/(-3)? -40 Evaluate (62/8463)/((-390)/(-8190)). 2/13 18/25*1124/(-5058) -4/25 Evaluate (790/(-474))/(2*5/(-90)). 15 Calculate 20/(-30)*(60/10)/(14/(-12)). 24/7 What is ((-6)/1)/(24930/(-1662))? 2/5 What is (((-5)/(-60))/(7/63))/(((-4824)/(-1536))/(-67))? -16 -3*(-24*9/(-144))/90 -1/20 What is the value of ((-22)/110*-7)/((-5)/50*2)? -7 What is 364/702*(-396)/(-308)? 2/3 41*(-112)/13776*279 -93 What is the value of (-3)/(-39)*(-4832)/16912? -2/91 Evaluate 30*(-1710)/(-1368)*1/1*-2. -75 What is (-8582)/(-4904)*1300/35? 65 Evaluate (-114)/38*(93/(-9))/((-7)/(-7)). 31 Calculate 846/12831*-3*20/12*-21. 90/13 What is the value of (610/5368)/(6/((-6)/5))? -1/44 ((-761098)/2628)/(-401)*(-18)/(-1) 13 Evaluate ((-288)/(-114))/((-8)/(-152)). 48 (13*(-82)/(-2665))/((48/(-5))/(-4)) 1/6 What is (-131364)/(-58384)*1/3*-16? -12 What is 595/(-68)*(-4)/1*39/715? 21/11 What is ((31/(-651))/(2/12))/(1/119)? -34 Calculate (5/13*1044/(-3045))/(1/35*5). -12/13 What is 6/(96/40)*(-180)/100? -9/2 What is the value of 3/1*10740/(-4833)? -20/3 (37/(-407))/((-13328)/(-1232)) -1/119 Evaluate (-8*(-39)/520)/(((-58)/(-145))/((-14)/9)). -7/3 What is (180/390)/(3402/702)? 2/21 Calculate 85/(-3400)*-564*6/(-9). -47/5 What is -6*((-117)/819)/(18/4)? 4/21 ((-6)/80*-12)/((-37944)/5270) -1/8 What is the value of (99/22*1/7*-2)/(597/(-25074))? 54 Evaluate (-82)/2460*18*(-1)/((-9)/(-10))*-132. -88 What is ((-48870)/(-13320))/(-181)*(-16)/3? 4/37 Calculate (((-1)/(-39))/(29/348))/(340/130). 2/17 What is the value of -6*14/(45/(630/(-56)))? 21 What is 15*(-4216)/9300*15? -102 What is the value of ((-4576)/(-104))/11*(-3)/5? -12/5 Evaluate 13/494*800/(-600). -2/57 Evaluate (-456)/((-60)/(-5))*356/(-712). 19 Calculate (24500/(-6860))/((-135)/21). 5/9 -18*36/(-3402)*-4*(-27)/12 12/7 What is the value of 2*((-48)/(-16))/15*(-105)/(-1)? 42 Calculate (-17735)/3547*2*-2. 20 Calculate ((-18)/39)/((-279)/(-12090)). -20 What is ((-47)/47)/(15/(-10)*14/(-483))? -23 What is the value of ((-127)/(-127))/((-62)/(((-8)/(-1))/(-2)))? 2/31 -3*(-4)/(-42)*-84*20/16*1 30 Evaluate (((-12)/1)/36)/(4/((-112)/70)). 2/15 Evaluate -8*32/2880*1710/(-20). 38/5 What is the value of ((-18011)/332)/31*(-3)/((-6)/(-32))? 28 What is (-96)/(-56)*1125/(-1125)? -12/7 What is the value of (60/(-696))/(-5)*4*1*289/(-289)? -2/29 Evaluate (-8)/76*(-7695)/(-56295). -2/139 ((-183)/4270*14)/(21/4795) -137 Evaluate ((-14)/210*-3)/(1/(-4))*-90. 72 What is the value of ((-2780)/(-11676))/(5/(-6))? -2/7 Calculate (1170/(-6075)*-45)/(-2*(-2)/(16/(-6))). -52/9 Evaluate (-188)/(-3)*43869/(-409444). -47/7 What is ((-128)/(-164))/((-28800)/(-196800))? 16/3 Evaluate 435561/(-23704)*32/12. -49 Calculate (704/176)/(12/(-156)). -52 What is the value of (7*(-186)/1085)/((-7)/((-105)/3)*77)? -6/77 (822/4110)/(3/(-435)) -29 What is the value of (-6)/20*2*18/(756/574)? -41/5 What is the value of 1/(-5)*32/4464*315/28? -1/62 Evaluate (6*10/11730)/((-908)/(-5221)). 1/34 Calculate (-1)/(-9)*-6*24. -16 What is (26030/(-2055))/((-570)/135)? 3 Evaluate 602/(-1376)*10/(-35)*16. 2 6/(-2)*((-544)/(-224))/17 -3/7 What is the value of (100/(-4))/((-3)/(-27)*-45)? 5 Calculate ((-2)/(-3))/(((-156)/(-546))/((-270)/14)). -45 Evaluate (10/15)/(((-4)/(-21))/((-12)/35)). -6/5 What is the value of 1539/(-1026)*((-1120)/(-36))/5? -28/3 What is the value of 7644/195*(-135)/(-108)? 49 Evaluate 96/(-40)*(20150/(-93))/26. 20 (6/22)/((-249)/(-415))*22 10 Evaluate (8372/345)/13*72/(-21). -32/5 Calculate (1/(7/24))/(45/(-10)*35/(-4410)). 96 What is the value of (-7800)/(-240)*12/(-10)? -39 What is the value of ((-1491)/101388)/(30/(-85))? 1/24 What is the value of (140/21)/(-10)*39/39*(-39)/4? 13/2 What is the value of (6/(-4))/((-16758)/(-949620))? -85 (6/(-37))/(26400/2604800) -16 What is the value of (8/12)/(((-1764)/49)/(-756))? 14 ((-18)/60)/(4/(-16)*6) 1/5 Evaluate 7/(-2)*14/(-490)*(-108)/(-36). 3/10 Calculate (82642/17709)/(28/69). 23/2 Evaluate 70/(-8)*(16/28)/(144/(-1008)). 35 What is 72/10*(-495)/(-360)*450/(-165)? -27 Evaluate (((-224)/(-30))/56)/(2/(-15)*5). -1/5 Evaluate 96/(-30)*(-2430)/324. 24 Evaluate (17178/21268)/((-7)/(-910)). 105 (-24)/224*(-252)/(-96)*-4 9/8 Evaluate ((462/140)/3*40)/(1/3*-2). -66 Evaluate ((2/3)/(-2))/(45/(270/8)). -1/4 Calculate -93*102/(-47430)*525. 105 Evaluate ((-8)/(-192))/(7/(-98))*6/21. -1/6 Evaluate ((36/30)/(10/(-55)))/((-168)/(-1680)). -66 What is (13/(-2)*3204/20826)/(2/56)? -28 What is (36/8*16/(-40))/(13/((-455)/(-21)))? -3 What is the value of (-4257)/(-86)*(-62)/(-465)? 33/5 Calculate (-6728)/2523*5/40. -1/3 What is 11*73/(-16060)*260? -13 Calculate ((-26)/3)/(-1)*((-825)/66)/(-25). 13/3 Calculate (-462)/660*90/15. -21/5 Evaluate (((-60)/(-24))/(2860/1872))/((-6)/(-44)). 12 What is (36*(-10)/(-80))/(4/40)? 45 (((-6)/(-9))/((3040/10)/8))/((-3)/12) -4/57 What is the value of (5/(-1))/((-4655)/(-43757))? -47 What is the value of (1764/41160)/((-10)/140)? -3/5 What is ((-33)/198)/(6*(-3)/18)? 1/6 What is the value of ((139/(-556))/((-1)/(-76)))/(1/1)? -19 1264/474*(-225)/(-60) 10 What is ((-16)/(-30))/(154/(-693))*60/18? -8 What is (85/(-51))/((-40)/(-60))? -5/2 Calculate ((-3)/((-3)/2))/(409/(-8998)). -44 What is the value of (65/(-260))/((-3)/(-464))*7*(-12)/(-56)? -58 Evaluate 90/135*106605/690. 103 Evaluate 264/924*7084/22. 92 Calculate 2/(-690)*66315/4421. -1/23 What is the value of (12350/(-375))/13*30? -76 Evaluate (((-458978)/(-1397))/(-139))/26. -1/11 What is the value of ((-423)/188)/(-6*4/128*(-12)/(-27))? 27 Evaluate ((3534/(-124))/(-57))/(4/616). 77 Calculate ((12684/(-882))/151)/((-4)/119). 17/6 Evaluate (4196/(-18882)*(-15)/(-2))/(11*5/6). -2/11 (70/(1400/5))/(94/4) 1/94 (-3)/2*((-7488)/(-146016))/((-62)/(-13)) -1/62 What is the value of 26/182*(77/132)/(((-14)/(-3))/7)? 1/8 What is the value of -375*29*57/(-24795)? 25 Evaluate (684/(-15))/((-104)/468*117/65). 114 Calculate (3/(-4))/(-15*(-4)/1760). -22 Evaluate (((-185)/111)/(275/(-11)))/((-3)/(210/4)). -7/6 Calculate 10*((-36)/(-15))/(-1)*(-22)/(198/(-9)). -24 What is (-8558)/(-27230)*((-11)/1210)/(1/(-4))? 2/175 What is the value of (((-9450)/189)/200)/(9/138)? -23/6 Calculate (146/730)/((-12)/1500). -25 What is 4/3*(58446/12)/(-191)? -34 Calculate 2*(9/(81/6))/((-15)/1665*2). -74 Calculate ((-1320)/(-18))/(460/345). 55 Evaluate 45*(-1758)/(-51275)*(-40)/(-12). 36/7 What is (-5)/((-1925)/(-105))*(35/14)/5? -3/22 -2*((-10)/82)/((-11)/(594/90)) -6/41 (222/4)/((-5856)/7808) -74 Evaluate (45/(-3186))/(28/(28/5))*(-36)/3. 2/59 3/(-24)*(-37)/(185/6) 3/20 (-1344)/(-240)*(-35)/7 -28 Calculate (126/27)/(99/(-27))*(-22)/4. 7 What is the value of (5766/837)/((-68)/(-102))? 31/3 Evaluate -4*57/8*(14/2)/28*-8. 57 Calculate (4*11/(-264))/(31/(-12)). 2/31 Evaluate -39*(-8)/(-72)*(-55242)/10881. 22 Evaluate 9/(-16)*(-252)/189*(-56)/(-819). 2/39 Evaluate (115/(-23))/(3390/(-23391)). 69/2 What is (-9)/(((-3570)/(-220))/(-119))? 66 What is the value of ((((-416)/(-16))/13)/1)/2? 1 (-40)/30*(-90)/(-280) -3/7 What is ((-570)/(-418))/((-54)/(-22))? 5/9 (3/(-2))/(1410/5076) -27/5 What is the value of 14*(-4)/(-532)*(-38)/(-120)? 1/30 What is 12/105*11/(473/(-430))? -8/7 5/(-140)*8*133*(-1)/(-2) -19 What is (-14)/168*14*(-6966)/189? 43 Calculate 558/1*(-127)/1143. -62 What is the value of (24/578)/(1440/12240)*-2? -12/17 52/(-325)*-25*(-18)/(-120) 3/5 Calculate ((-15)/(-2))/((-8247)/5498). -5