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**3 - 9195*r**2 - 3488*r? 408593388 Find the first derivative of 195051664*p**3 - 124954135. 585154992*p**2 What is the second derivative of 281292271*w**5 - 510*w - 780413 wrt w? 5625845420*w**3 What is the derivative of -63687318*u**3 + 562473557? -191061954*u**2 What is the derivative of -95214738*c**2 + 8731439 wrt c? -190429476*c Find the second derivative of 3*x**3 + 9991986*x**2 + 30338174*x - 3 wrt x. 18*x + 19983972 Find the first derivative of 679*j**4 - 57858*j**3*k**2 + 165273892*k**2 + 3 wrt j. 2716*j**3 - 173574*j**2*k**2 Find the second derivative of 10468559*h**2 + 168384*h - 5. 20937118 Differentiate 121897106*d**2 + 99133476 with respect to d. 243794212*d What is the second derivative of 1075406*l**3 + 170*l**2 - 2*l - 75651793 wrt l? 6452436*l + 340 What is the first derivative of -4*w**4 - 959839*w**3 + 16794031? -16*w**3 - 2879517*w**2 Differentiate -34021230*q**4 + 15656616 wrt q. -136084920*q**3 Find the third derivative of 12960721*n**3 - 5*n**2 + 21318*n + 13. 77764326 Find the third derivative of 59*o**5 - 102*o**4 + 9313*o**3 - 1534781920*o**2. 3540*o**2 - 2448*o + 55878 Differentiate -4179768*m**2*r + 3536405*m**2 wrt r. -4179768*m**2 What is the second derivative of 56429776*m**5 - 50807987*m? 1128595520*m**3 What is the second derivative of -42150590*k**2 - 50925534*k? -84301180 What is the third derivative of -13811*x*y**3 + 1692699*x*y**2*z + x*y**2 - 3*x*y*z - 136*y**4*z + 3*y**4 wrt y? -82866*x - 3264*y*z + 72*y What is the first derivative of -7225239*x + 8460038? -7225239 Find the first derivative of 72912*j**2 + 831*j + 166853546. 145824*j + 831 What is the third derivative of 204*q**5 + 31445*q**4 + 2*q**3 + 14*q**2 + 76535*q - 9 wrt q? 12240*q**2 + 754680*q + 12 What is the derivative of 3651*p*w**2 + 519*p*w + p + 54253350*w**2 wrt p? 3651*w**2 + 519*w + 1 Find the second derivative of -91419126*m**2 - 162128943*m. -182838252 Find the third derivative of 5*l*u*y**3 + l*u*y - 5*l*y**2 - 4621073*u*y**3 - 1755838*u*y**2 + u wrt y. 30*l*u - 27726438*u Find the third derivative of 317297018*s**3 + 3136*s**2 - 30884*s wrt s. 1903782108 What is the third derivative of -16525*f*r**3 + 20*f*r + 356*r**3 + 1425730*r**2 wrt r? -99150*f + 2136 What is the second derivative of 199836725*j**2 - 443399*j - 462 wrt j? 399673450 What is the derivative of -27*n**2 + 4783*n - 4781175 wrt n? -54*n + 4783 What is the second derivative of 1993362*q**3 - 10453532*q? 11960172*q What is the second derivative of 524854*c**3 + 3*c**2 + 98540997*c wrt c? 3149124*c + 6 Differentiate 1267*c**3*z - 167*c**3 - 6*c**2 - 4258*c*z**2 + 1020*c - 10 wrt z. 1267*c**3 - 8516*c*z Find the second derivative of 535216*z**3 - 1981773*z. 3211296*z What is the second derivative of 21203910*g**3 - 25824828*g wrt g? 127223460*g What is the derivative of 132420*v**2 + 340*v - 26946351 wrt v? 264840*v + 340 What is the third derivative of -21436773*a**4*d + 357*a**2*d + 32*a*d + 2*a - 4*d wrt a? -514482552*a*d Find the third derivative of 3*f**5 + 380905960*f**4 + 13961*f**2 - 24*f - 149 wrt f. 180*f**2 + 9141743040*f Find the third derivative of 5429*s**3*v**3 - 8*s**3*v**2 - 29*s**3 + 1153327*s**2 - 3*s*v**3 wrt s. 32574*v**3 - 48*v**2 - 174 Find the second derivative of -5*i**3*r**2 - 6*i**3*r*s + 7*i**3*r + 12088*i**2*r*s**3 - 14*i**2*r*s + 14374211*r**2*s**3 wrt r. -10*i**3 + 28748422*s**3 What is the third derivative of 1520*g*p**2*u**3 - 24699*g*p**2*u**2 + 48*g*p**2 - 3*g*p*u**3 + 3*g*p*u**2 + 2*g*p + 38*u**3 wrt u? 9120*g*p**2 - 18*g*p + 228 Find the first derivative of -18988930*r + 32974737. -18988930 What is the third derivative of -22*i**3*t + 2459236*i**3 - i**2*t + i**2 - 11059*i*t + 232*i - 2 wrt i? -132*t + 14755416 What is the third derivative of 50193250*r**6 + 30912657*r**2? 6023190000*r**3 Find the third derivative of -4941*o**6 - 660*o**3 + 5848*o**2 - 357*o. -592920*o**3 - 3960 What is the derivative of 9*r**4 + r**3 + 140062*r**2 + 237521658 wrt r? 36*r**3 + 3*r**2 + 280124*r Find the first derivative of 838488*h*j - 7*h - 2841182*j + 2 wrt h. 838488*j - 7 Differentiate 1899*a*w - 21664971*a + 16911*w wrt w. 1899*a + 16911 Differentiate 1211*c*o**2 - 33*c*o - 10897*c + 90*o**2 + 151 wrt o. 2422*c*o - 33*c + 180*o Differentiate 25*d*f**3 + 3*d*f**2 + 4*d*f - 28366*d - 774546644*f**3 with respect to d. 25*f**3 + 3*f**2 + 4*f - 28366 Find the second derivative of 56600901*q**2 - 18570*q - 1258. 113201802 Find the third derivative of -11*b*h**3*x + 377*b*h**3 - 8*b*h**2*x - 2479*b*h*x + 6*b*h - 25*h**3*x - 6*h**3 + 8*h**2 + 3*h wrt h. -66*b*x + 2262*b - 150*x - 36 Find the third derivative of 15674662*t**3 - 4*t**2 + 21092*t - 4 wrt t. 94047972 Find the second derivative of -3*k**2*m**2*u + 1990961*k**2*u**3 - 4004*k*m**2*u**3 - 555*k*m*u - 26*m**2*u - m*u**3 wrt k. -6*m**2*u + 3981922*u**3 What is the second derivative of -719466*c**5*o**2 - 57*c**2 + c*o**2 - 77*c + 38*o**2 + 2289*o wrt c? -14389320*c**3*o**2 - 114 Find the second derivative of 3*v*w**2*y - 5633*v*w**2 - 10*v*w*y**2 - v*w*y - 54*v + 1345*w**2*y**2 + 6*w*y**2 - 41*y**2 wrt w. 6*v*y - 11266*v + 2690*y**2 Find the second derivative of -47*o**5 + 444981*o**4 - 6379*o + 1960 wrt o. -940*o**3 + 5339772*o**2 Differentiate -32*u**2 + 186910*u + 24567638. -64*u + 186910 Find the third derivative of 396812251*i**3 + 2*i**2 + 195091372. 2380873506 Find the second derivative of 10751*p**2*r**2*s - 14*p**2*r**2 - 60*p**2*r*s - 10*p**2 - 4*r**2*s - 18*r + 63*s wrt r. 21502*p**2*s - 28*p**2 - 8*s Find the third derivative of -5593829*c*g**3 - 31*c*g**2 + 1199*c*g + 2*c - 16*g**4 + 46*g**2 - g + 2 wrt g. -33562974*c - 384*g Find the third derivative of 10398471*w**3*z**2 + 3*w**2*z**2 - w**2*z - 4*w*z**2 + 65*w*z + 354*z**2 wrt w. 62390826*z**2 What is the third derivative of -5*f**3*l**2 - 5083*f**3*l + 2*f**3 + 5208*f**2*l + 15*l**2 wrt f? -30*l**2 - 30498*l + 12 What is the third derivative of 2*l**6 - 725*l**4 - 846*l**3 + l**2 - 23222414*l? 240*l**3 - 17400*l - 5076 What is the first derivative of -459*r**3 - 32*r**2 + 464*r*s - 13098*s + 3350 wrt r? -1377*r**2 - 64*r + 464*s Find the second derivative of -2905481*c**3*l**3 - c**2*l**2 + c*l**3 - 1081*c*l - 441 wrt c. -17432886*c*l**3 - 2*l**2 Find the second derivative of 813326*f**2*n**3 - 27*f**2*n**2 - 2*f*n**3 - 3*f*n - n**2 - 18521*n - 6 wrt f. 1626652*n**3 - 54*n**2 What is the third derivative of 1412903*f**3*j**4 - 6455*f**3*j**2 + 9*f**3*j - 4*f*j**2 + 1 wrt j? 33909672*f**3*j Find the third derivative of 47282812*o**6 + 3296*o**2 - 27*o + 41 wrt o. 5673937440*o**3 What is the third derivative of 6093642*b**3 - 3*b**2 - 348915*b? 36561852 Find the first derivative of -10870*n**3 - 1548*n - 144433751. -32610*n**2 - 1548 Find the third derivative of -150046342*o**3*p*y**2 + 3*o**2*p*y**2 - 9*o**2*p + 2*o**2*y**2 + 2*o**2*y - 31*o*y**2 + p*y - 928 wrt o. -900278052*p*y**2 Find the third derivative of -482663181*n**3*p*t**3 + 5*n**3*p*t**2 - 25*n**3*p*t - p*t - 63*p - 61 wrt t. -2895979086*n**3*p What is the second derivative of 15*i**3*v - 24*i**3 - 3365*i**2*v - 2*i**2 - 457839*i*v + 2*i + 2*v - 1 wrt i? 90*i*v - 144*i - 6730*v - 4 What is the third derivative of 4*k**6 - 15268646*k**5 + k**2 + 73474927*k? 480*k**3 - 916118760*k**2 Find the third derivative of -2*w**3*z**3 - 1387*w**3*z + 19*w**3 + 220370*w**2*z**3 - w*z**3 - 4*z**2 wrt z. -12*w**3 + 1322220*w**2 - 6*w What is the first derivative of -2677*m**2 - 27885*m - 97338546 wrt m? -5354*m - 27885 What is the derivative of -h**3 - 30162*h**2 + 324*h - 43626211? -3*h**2 - 60324*h + 324 What is the second derivative of 516419542*r*w**2 + 5*r*w + 461*r + 24094 wrt w? 1032839084*r Find the first derivative of 2187*c*y**2 + 40*c*y + c + 12087*y**2 + 2*y - 148 wrt c. 2187*y**2 + 40*y + 1 What is the second derivative of -64770145*y**4 - 3748266*y wrt y? -777241740*y**2 What is the derivative of 115*x**2 - 111940*x + 5014562? 230*x - 111940 Differentiate 14328210*n - 26988131 wrt n. 14328210 Find the third derivative of -2*c**4 + 18466594*c**3 - 2883*c**2 - 32*c - 2. -48*c + 110799564 Find the third derivative of 6591814*u**3 + 64072*u**2 + 80*u wrt u. 39550884 What is the third derivative of 19416609*r**4 + 5440919*r**2? 465998616*r What is the second derivativ
{ "pile_set_name": "DM Mathematics" }
1/5, to the nearest integer? 13 What is the square root of 211269 to the nearest integer? 460 What is the square root of 645374 to the nearest integer? 803 What is the third root of 165953 to the nearest integer? 55 What is the square root of 37700846 to the nearest integer? 6140 What is the cube root of 913621 to the nearest integer? 97 What is the sixth root of 362703 to the nearest integer? 8 What is the cube root of 836630 to the nearest integer? 94 What is 20217 to the power of 1/2, to the nearest integer? 142 What is 871654 to the power of 1/3, to the nearest integer? 96 What is 247467 to the power of 1/2, to the nearest integer? 497 What is the cube root of 9023174 to the nearest integer? 208 What is 219611 to the power of 1/2, to the nearest integer? 469 What is 2289298 to the power of 1/8, to the nearest integer? 6 What is the third root of 7869015 to the nearest integer? 199 What is the ninth root of 70854 to the nearest integer? 3 What is the third root of 23870 to the nearest integer? 29 What is the square root of 248331 to the nearest integer? 498 What is 891280 to the power of 1/9, to the nearest integer? 5 What is the square root of 1067670 to the nearest integer? 1033 What is the third root of 7259398 to the nearest integer? 194 What is the fourth root of 2987878 to the nearest integer? 42 What is the cube root of 1071012 to the nearest integer? 102 What is the square root of 2907156 to the nearest integer? 1705 What is the third root of 124250 to the nearest integer? 50 What is the square root of 2069599 to the nearest integer? 1439 What is the ninth root of 387599 to the nearest integer? 4 What is 23206491 to the power of 1/2, to the nearest integer? 4817 What is the fifth root of 13496715 to the nearest integer? 27 What is 2542451 to the power of 1/10, to the nearest integer? 4 What is the cube root of 1865361 to the nearest integer? 123 What is the square root of 1539493 to the nearest integer? 1241 What is 12821452 to the power of 1/5, to the nearest integer? 26 What is 10309967 to the power of 1/2, to the nearest integer? 3211 What is the tenth root of 2228147 to the nearest integer? 4 What is 8620800 to the power of 1/9, to the nearest integer? 6 What is 1479093 to the power of 1/10, to the nearest integer? 4 What is 11528893 to the power of 1/4, to the nearest integer? 58 What is 374712 to the power of 1/4, to the nearest integer? 25 What is 277721 to the power of 1/2, to the nearest integer? 527 What is 298806 to the power of 1/3, to the nearest integer? 67 What is 3685 to the power of 1/5, to the nearest integer? 5 What is 69203 to the power of 1/3, to the nearest integer? 41 What is 12049149 to the power of 1/10, to the nearest integer? 5 What is 2227170 to the power of 1/4, to the nearest integer? 39 What is the cube root of 10587 to the nearest integer? 22 What is the third root of 283550 to the nearest integer? 66 What is 3682142 to the power of 1/2, to the nearest integer? 1919 What is 934357 to the power of 1/3, to the nearest integer? 98 What is 185745 to the power of 1/10, to the nearest integer? 3 What is the third root of 92772 to the nearest integer? 45 What is 125391 to the power of 1/10, to the nearest integer? 3 What is the square root of 14880738 to the nearest integer? 3858 What is the cube root of 1864878 to the nearest integer? 123 What is the cube root of 1430971 to the nearest integer? 113 What is the fifth root of 320182 to the nearest integer? 13 What is the tenth root of 8795944 to the nearest integer? 5 What is the eighth root of 73241 to the nearest integer? 4 What is 5245569 to the power of 1/5, to the nearest integer? 22 What is 222212 to the power of 1/8, to the nearest integer? 5 What is 783451 to the power of 1/3, to the nearest integer? 92 What is the fourth root of 6322907 to the nearest integer? 50 What is the ninth root of 4723626 to the nearest integer? 6 What is 4954939 to the power of 1/2, to the nearest integer? 2226 What is 625583 to the power of 1/3, to the nearest integer? 86 What is 1105849 to the power of 1/3, to the nearest integer? 103 What is the fourth root of 4820344 to the nearest integer? 47 What is the seventh root of 243476 to the nearest integer? 6 What is the third root of 1164032 to the nearest integer? 105 What is 446693 to the power of 1/2, to the nearest integer? 668 What is 5822009 to the power of 1/10, to the nearest integer? 5 What is 1857604 to the power of 1/9, to the nearest integer? 5 What is the third root of 233532 to the nearest integer? 62 What is the fifth root of 19896305 to the nearest integer? 29 What is the ninth root of 1594430 to the nearest integer? 5 What is the sixth root of 8996299 to the nearest integer? 14 What is 90191 to the power of 1/9, to the nearest integer? 4 What is 17870 to the power of 1/8, to the nearest integer? 3 What is 611308 to the power of 1/2, to the nearest integer? 782 What is the fourth root of 1118653 to the nearest integer? 33 What is 14745 to the power of 1/2, to the nearest integer? 121 What is the square root of 108392 to the nearest integer? 329 What is 122853 to the power of 1/2, to the nearest integer? 351 What is the cube root of 84341 to the nearest integer? 44 What is the third root of 332050 to the nearest integer? 69 What is 16016358 to the power of 1/2, to the nearest integer? 4002 What is 93009 to the power of 1/2, to the nearest integer? 305 What is the eighth root of 863969 to the nearest integer? 6 What is 4200385 to the power of 1/4, to the nearest integer? 45 What is the ninth root of 1397307 to the nearest integer? 5 What is 15064640 to the power of 1/10, to the nearest integer? 5 What is the square root of 99390 to the nearest integer? 315 What is the third root of 83089 to the nearest integer? 44 What is 8697449 to the power of 1/6, to the nearest integer? 14 What is the tenth root of 1026978 to the nearest integer? 4 What is the cube root of 40133 to the nearest integer? 34 What is the fifth root of 565274 to the nearest integer? 14 What is the seventh root of 4589455 to the nearest integer? 9 What is the tenth root of 1654237 to the nearest integer? 4 What is the ninth root of 734041 to the nearest integer? 4 What is 20226801 to the power of 1/3, to the nearest integer? 272 What is 9587236 to the power of 1/2, to the nearest integer? 3096 What is the third root of 18469 to the nearest integer? 26 What is the square root of 835249 to the nearest integer? 914 What is 2651104 to the power of 1/3, to the nearest integer? 138 What is the fifth root of 2029594 to the nearest integer? 18 What is 164562 to the power of 1/2, to the nearest integer? 406 What is the ninth root of 215580 to the nearest integer? 4 What is the square root of 6433795 to the nearest integer? 2536 What is 258492 to the power of 1/2, to the nearest integer? 508 What is the eighth root of 211862 to the nearest integer? 5 What is 6178804 to the power of 1/2, to the nearest integer? 2486 What is 427546 to the power of 1/9, to the nearest integer? 4 What is 2090494 to the power of 1/2, to the nearest integer? 1446 What is 589068 to the power of 1/3, to the nearest integer? 84 What is the tenth root of 790372 to the nearest integer? 4 What is 68526 to the power of 1/10, to the nearest integer? 3 What is 3417875 to the power of 1/4, to the nearest integer? 43 What is the seventh root of 973961 to the nearest integer? 7 What is 29868635 to the power of 1/3, to the nearest integer? 310 What is the cube root of 7032568 to the nearest integer? 192 What is the third root of 4636413 to the nearest integer? 167 What is the seventh root of 78796 to the nearest integer? 5 What is 1927912 to the power of 1/2, to the nearest integer? 1388 What is the third root of 1101573 to the nearest integer? 103 What is 20871018 to the power of 1/4, to the nearest integer? 68 What is 16522206 to the power of 1/3, to the nearest integer? 255 What is 10664864 to the power of 1/10, to the nearest integer? 5 What is the ninth root of 58986 to the nearest integer? 3 What is the square root of 519582 to the nearest integer? 721 What is 307460 to the power of 1/5, to the nearest integer? 13 What is the tenth root of 34942112 to the nearest integer? 6 What i
{ "pile_set_name": "DM Mathematics" }
o? True Suppose -3*t = 1 + 8. Let s(d) = d**3 + 6*d**2 + 2*d + 1. Let u be s(t). Suppose 10 = 5*z, 5*a + 0*z = -z + u. Is 4 a factor of a? True Suppose 5*l = r - 35, -2*r + 5*l - 15 = -70. Is r a multiple of 4? True Suppose 2*l + 11 - 1 = 0. Does 15 divide (-2)/l - 118/(-5)? False Suppose 3*k - 3*f + 0*f - 72 = 0, -25 = -5*f. Is 9 a factor of 2/(-4) + k/2? False Suppose 6*w + 25 = w. Let t(c) = c + 9. Let u be t(w). Suppose -u*z = -3*z - 10. Is z a multiple of 5? True Let j = 81 + -139. Let i = j + 101. Is 11 a factor of i? False Let q(s) = s**3 + 4*s**2 - s + 2. Let u be q(-4). Let o(w) = w**2 + w - 6. Let t be o(u). Suppose -3*l - 39 = -3*d - 2*l, 0 = 3*d - 2*l - t. Does 9 divide d? False Suppose -2*b + 39 + 13 = 0. Is b a multiple of 14? False Let q = -7 + 12. Suppose 8*l = q*l + 81. Suppose 129 = 4*f - l. Is 13 a factor of f? True Suppose 0 = -4*n + j + 33, 4*n - n + 4*j = 20. Let c = 5 - n. Is 35*1 - (-6)/c a multiple of 11? True Let g(m) = m**2 - 2*m - 3. Let k be g(3). Let j be 1 - 0 - (1 - k). Does 12 divide 23 - (j + 1 + -2)? True Suppose -5*s + 98 = 4*u - 45, -137 = -4*u - 3*s. Is 13 a factor of u? False Let q = 3 + 2. Suppose 5*n + 6 = 5*d - 19, 29 = 4*d + q*n. Is 29 + 2/(d/9) a multiple of 11? False Suppose -5*d = -15, 2*d - 9 = 4*m + 5. Let n(j) = -2*j + 1. Let t be n(m). Suppose t*l = -2*f + 216, 7*l - 2*l - 5*f - 195 = 0. Does 15 divide l? False Let w = 137 + -98. Is w a multiple of 10? False Let k = -17 - -31. Is 2 a factor of k? True Let r(z) = 3*z**3 - 3*z**2 + 3. Is 41 a factor of r(4)? False Suppose 0*d + 12 = -2*d. Does 6 divide ((-12)/(-7))/(d/(-21))? True Let u(z) = 30*z - 2. Let x be u(-2). Suppose -g = -4*g + 12. Is 13 a factor of 1/2 - x/g? False Let v = 125 - 2. Is v a multiple of 11? False Let z(u) = -u**3 + 5. Let h be z(0). Suppose -v + 3*l = -l, h*l = -2*v + 26. Does 6 divide v? False Suppose -2*q + 1 + 7 = 0. Suppose -v - 5*j = 2 - q, 0 = 3*j. Let r(b) = 13*b - 2. Is 6 a factor of r(v)? True Suppose -448 - 280 = -2*a. Suppose -4*k = l - a, 91 = k - l + 2*l. Does 25 divide k? False Suppose -4*p = 2*u - 0*p - 288, -3*p - 668 = -5*u. Does 17 divide u? True Suppose 0 = -3*c - 2*v + 298, 3*c + 4*v - 297 = v. Is c a multiple of 4? True Let z be 1/(2*3/30). Suppose z*a - 15 = 2*a. Does 2 divide a? False Let j(h) = h - 9. Let i be j(14). Let a be ((-4)/(-2))/(2/73). Suppose -i*g = -27 - a. Is 10 a factor of g? True Let n be 4/6 + (-46)/6. Does 20 divide (-219)/n + 4/(-14)? False Let m(z) = z**3 - 21*z**2 + 3*z + 43. Is 23 a factor of m(21)? False Let r = 39 + 39. Suppose 0 = 6*q - 4*q - r. Does 20 divide q? False Let w = 19 + -13. Is 3 + 6/(-3 + w) even? False Let h(a) = -8*a**3 - 6*a**2 - 7*a + 2. Does 28 divide h(-2)? True Let p = -1 - -4. Let z(i) = -i + 2. Let x be z(p). Is 5 a factor of 2 + x + (13 - 4)? True Suppose 5*m - 35 = -2*l, -2*m - 5 = 3*m. Suppose s - 3*s = -l. Does 5 divide s? True Suppose g = -5*g + 144. Let f = 14 + g. Does 10 divide f? False Suppose -5*g = -20 + 230. Does 12 divide g/70 - (-88)/5? False Let q(d) = 36*d - 27. Is 18 a factor of q(4)? False Let u(v) = 2*v**2 - 3*v - 1. Does 6 divide u(5)? False Suppose 5*g - 6 + 21 = 0. Let x = g + 14. Is x a multiple of 3? False Let q = 120 + 9. Is 20 a factor of q? False Let d = -34 - -67. Suppose 5*c - 18 = 2*n - 1, -2*c = -4*n + 6. Let z = n + d. Does 15 divide z? False Let c(d) = d**2 - 2*d - 9. Let x be c(-7). Let s = 82 - x. Does 14 divide s? True Let y(v) = -v**2 - 6*v - 5. Let m be y(-4). Suppose 9 = m*d + 12. Is 9 a factor of 26 + 3 + d + -1? True Suppose -x + 0*x - 1 = 0. Does 14 divide ((-14)/(-5))/(x/(-10))? True Let m = 390 + -257. Is 26 a factor of m? False Let u(p) = p**3 + 5*p**2 - 8*p - 8. Let w be u(-6). Suppose -40 = -0*t - w*t. Does 9 divide t? False Let t(z) = 11*z**2 - z - 2. Is 7 a factor of t(2)? False Let t be (-1)/4 + 25/4. Suppose t*g = 2*q + 3*g - 91, 4*g - 170 = -5*q. Does 14 divide q? False Suppose -3*m + 5*u = 2*m - 70, -30 = -2*m + u. Is m a multiple of 16? True Suppose -3*d - 2*d + 220 = 0. Let l(t) = 5*t**2 - 2*t + 1. Let z be l(1). Suppose z*h = 20 + d. Does 8 divide h? True Is (-4 + (-368)/(-6) - 4)*3 a multiple of 20? True Suppose 14 + 22 = b. Is b a multiple of 36? True Let q = -75 - -42. Let u = 13 - q. Is u a multiple of 13? False Let i be 2/3 + 20/6. Let p(t) = -t**3 + 7*t**2 - 5*t + 3. Let r be p(6). Suppose r = i*k - 51. Does 8 divide k? False Suppose 0*m = 3*m - 822. Let d = m + -165. Is d a multiple of 24? False Suppose 259 + 77 = 4*p. Is p a multiple of 21? True Suppose 5*v - x + 0*x = 123, 18 = v + 2*x. Suppose 4*o - v = o. Is o a multiple of 3? False Suppose 3*u + s + 288 = -117, -3*s - 405 = 3*u. Is u/(-12) + 1/(-4) a multiple of 11? True Let o = -105 + 414. Is 45 a factor of o? False Suppose 0 = 5*c - 3*f + 21, -2*f = 5*c - 4*f + 24. Suppose -l - 60 = -6*l. Let j = c + l. Does 3 divide j? True Let l(u) = -u + 3. Let p be l(3). Suppose -v = -p*v + 3, 3*n = -2*v + 6. Let t(s) = s**3 - 2*s**2 - 5*s + 3. Does 5 divide t(n)? True Suppose -4*d = -5*o - 221, -o + d - 3*d - 47 = 0. Let q = o + 84. Is q a multiple of 13? True Let z = -19 - -49. Does 11 divide z? False Let j(b) = -1 + 3*b + 3*b - 3*b. Let v be j(4). Let h = 18 - v. Is 7 a factor of h? True Let a be (-1 + 1)/(3 + -4). Suppose -6 = 4*k - 22. Suppose 2*d - l + 5 = k*l, a = 2*d - 3*l - 1. Does 5 divide d? True Let j be (-1 + 3)/(-2)*-100. Is 9 a factor of (-3)/(-6)*j/2? False Let w be -1 - -3 - 1*-33. Let q = -50 + 31. Let l = w + q. Is 6 a factor of l? False Suppose 17*o - 5*o - 48 = 0. Is 4 a factor of o? True Let o = 51 + -5. Is o a multiple of 28? False Let a(z) = -7*z**3 + 2*z**2 + 2*z. Let t be a(-2). Suppose -s = -4*s + t. Is 11 a factor of s? False Suppose -5*x + 1123 = -4*u - 132, -2*u = -4*x + 1010. Is 17 a factor of x? True Suppose -x + 88 = 5*q, 0 = 2*x + x - 2*q - 264. Does 12 divide x? False Suppose 0 = -2*z + z + 4. Suppose 0 = v - 11 - z. Does 5 divide v? True Let u(b) = -b**3 + 11*b**2 - 11*b + 2. Let f be u(8). Suppose -i = i - f. Does 18 divide i? False Let a(x) be the first derivative of 10*x**4 - x**3/3 + x + 2. Is 20 a factor of a(1)? True Suppose -24 = -o + 2*j, 2*j = -2*o - 0*o + 42. Is o a multiple of 6? False Let q(x) = x - 2. Let l be q(1). Is 3 + l/(3/(-54)) a multiple of 9? False Suppose t = 67 + 8. Is 6 a factor of t? False Suppose -s + 431 = -2*y, 5*s - 10*s + 2165 = -5*y. Is s a multiple of 46? False Suppose 16 + 19 = -5*t. Let z = t + 12. Suppose -2*l = d - 15, -2*d + 5*l = -z - 7. Is d a multiple of 9? False Suppose 5*y = 10 + 15. Suppose -y*u + 20 = -30. Is 5 a factor of u? True Let m(q) = 2*q + q + q - 1 + 13*q. Is 5 a factor of m(1)? False Let s(j) = -j**2 - 7*j + 3. Let i be s(-7). Suppose f - 4 = -i. Is 4 a factor of (f - (2 - 3)) + 6? True Let k = 2 - 2. Suppose k = -3*t + 21 + 15. Let q = t - 7. Is q a multiple of 2? False Suppose 1 = 3*g - 5. Let m(a) = 0*a - g*a - 4 + 2 + 4*a**2. Is m(-2) a multiple of 18? True Let g(x) = 5*x**2 - 4*x + 3. Does 11 divide g(3)? False Suppose -4*f - v + 1008 = 0, 0*v = -2*f - v + 504. Is f a multiple of 36? True Suppose -4*u + 3*u = -10. Is u a multiple of 3? False Let r(o) = o - 6. Let m be r(6). Let z(f) = f**3 + f**2 + 45. Is 20 a factor of z(m)? False Suppose 0 = 2*q - q - 16. Is 9 a factor of q? False Let k(a) = a**3 - 5*a**2 - 6*a - 5. Let i be k(6). Let j = i - -9. Does 4 divide j? True Let c(f) = 2*f - 4. Let y be c(5). Let n be y*(1 - (-2)/(-4)). Is 2 + -1 + n + 11 a multiple of 15? True Let b = 7 + -3. Suppose -k = -b*y + 12, 3*y + 30 = -5*k + 8*y. Let h = k + 6. Is h even? True Suppose 17 + 0 = x. Is 9 a factor of x? False Let v = -1 - -9. Let d(h) = h**3 - 7*h**2 - 8*h - 4. Let b be d(v). Is 2 + (b + 3)*-29 a multiple of 15? False Suppose -2*a - 3 = -7. Let r be 24/20*15/6. Suppose a*g = -r*g + 110. Is g a multiple of 11? True Let t be (-384)/27 - 6/(-27). Is (-6)/21 - 102/t a multiple of 2? False Let y be 3 - 3/(-3) - 2. Suppose 0*f + y*f - 37 = -m, -f + 5*m + 46 = 0. Does 11 divide f? False Let s = -16 - -16. Suppose -4*m = -2*n - 135 - 217, -m - n + 82 = s. Is m a multiple of 24? False Is 52 a factor of 8/(-10)*-5*13? True Suppose -2*u + 3*u = 5*p - 1110, 3*p = -u + 674. Is p a multiple of 23? False Let z be 7*3*100/42. Suppose 7*t - 2*t - z = 0. Is 4 a fac
{ "pile_set_name": "DM Mathematics" }
(1031/180) Simplify ((((j**(-1)*j)/j*j*j**(2/21))/(j/j**(3/7)*(j**(-12)*j)/j*j))**(-1/74))**47 assuming j is positive. j**(-10387/1554) Simplify ((x**3*x)**(-47))**(2/15)/((x**(-1)*x)**(4/11))**(1/22) assuming x is positive. x**(-376/15) Simplify ((((u*(u*u/(u*((((u/(u/u**(1/3))*u*u)/u)/u)/u)/u*u)*u)/u*u)**(-3/8))**42)**(-8))**(24/13) assuming u is positive. u**(11088/13) Simplify ((x/x**(-9)*x)/x**5*x**(-14)*x**(-4/11))**(-10/7) assuming x is positive. x**(920/77) Simplify ((c/((c**(-13/4)/c)/c)*(c/((c*(c/(c*c*c**(-11)*c))/c)/c)*c*c*c)/c)/(c**(-15)*c/(c/(c/(c*c**(-2/19)))*c)*c))**(-30) assuming c is positive. c**(-18405/38) Simplify ((((v*(v/v**(-2/3))/v)/v)**(1/29)*v**12/v*v/(v/(v**10*v)))**(-22))**(-5/13) assuming v is positive. v**(210760/1131) Simplify ((m*(m*m/m**(-18))/m)/(m*m**(-2/25)/m*m)*(m**(2/3))**0)**(6/7) assuming m is positive. m**(2862/175) Simplify (y**(-1)*y)**(-2/37)/(y**(-1)*y**6)*(y/y**(-9)*y**(-7))**(2/15) assuming y is positive. y**(-23/5) Simplify (r**(-13)/r**(-8/3))/(r**(-8/15)/(r**(-1/31)*r)) assuming r is positive. r**(-1369/155) Simplify ((w**(-1/2)*w*w)**(-38))**(6/5)*(((w*w*w**(-2/5)*w)/w*w)/w)**4/((w**(1/2)*w)/w*w**(-7)) assuming w is positive. w**(-111/2) Simplify ((s**(-2/11)*s)/s**(-1/4))**(-5/14)/(s**(-3/5)/s*s*((s/s**(2/9))/s)/s)**37 assuming s is positive. s**(1858369/27720) Simplify (z**(-37/2)/(z*z**34*z*z*z*z*z))/((z*z**(-26))/(z/(z/(z/z**43)))) assuming z is positive. z**(-151/2) Simplify (z**24)**(-2/15)*(z/z**(3/5)*z)/(z*z/(z/z**(4/3))) assuming z is positive. z**(-62/15) Simplify ((i**(6/17)*i*i*i**(-6/5)*i*i)/(i**(-2/13)/i**(-33)))**14 assuming i is positive. i**(-459354/1105) Simplify ((u/(u/(u*(u*u**(-2/5))/u))*(u**(-2/9)*u)/u)/(u**6/u*u*u/(u*(u*u*u/u**(-2/25))/u)*u))/((u**(-4)/u)/u**1)**(-3/11) assuming u is positive. u**(-15292/2475) Simplify ((o**(-1/4))**34*(o*o**4*o*o)/o**8)/(o**(5/3)*o**(-5/3)*((o**2*o)/o)**0) assuming o is positive. o**(-19/2) Simplify (d**0/d*d**12/d)**(-14)*(((d/(d**3*d))/d)**18)**39 assuming d is positive. d**(-2948) Simplify (d**(1/14)/d**(1/8)*d**(-11)*d**(-2/17))**(7/5) assuming d is positive. d**(-2127/136) Simplify ((l**(4/15))**(1/5)/((l/l**(2/17))/l)**39)**(1/48) assuming l is positive. l**(2959/30600) Simplify ((((k/k**5)**(-10/11))**(-7))**(-17))**(7/5) assuming k is positive. k**(6664/11) Simplify ((i/((i**(-2/23)*i*i*i)/i))/i*i**1)**9*(i*i*i**(4/5)*i*i*i*i/i**(-6/11))**(-17) assuming i is positive. i**(-168359/1265) Simplify (d*d**(2/13)*d*d**(-4/7))/((d*d**(-8)/d*d)/(d*d**(-1/3)/d))*((d*d**5*d)/(d*d/(d**(-3)*d)))**(1/10) assuming d is positive. d**(23339/2730) Simplify ((l**(-1))**(-8/3)*(l*l*l**2)/l**(-4))/((l/(l/l**7)*l/l**2)/(l**(-1)/l)**(2/17)) assuming l is positive. l**(226/51) Simplify ((((p*p**(-4))/p)/p*p*p**(1/2))/(p**(-1/2))**(-42))/(((p*p**(2/17))/p)/p**(-2/3))**(11/4) assuming p is positive. p**(-2719/102) Simplify (u**0*u/u**1*u**(-2)*u**(-1/5)/u)/((u/(u**(-2/3)/u)*u)**(5/8)*(u**0)**(-3/4)) assuming u is positive. u**(-659/120) Simplify (x**11/x*x/(x/(((x*x/x**22)/x)/x))*x**10/x**(10/11))**(-13) assuming x is positive. x**(416/11) Simplify ((n*n**(2/15)/n)**(-4)*(n*n**(-1/5))/(n/(n*n/n**(-2/9))))**4 assuming n is positive. n**(268/45) Simplify (p/(p*p**6)*p**(4/5)*p/p**3*p/(p/(p*p**(1/5))))/((p**(-1))**(-2/15)*(p*p/(p*p**(1/9)*p))/(p*p**1/p)) assuming p is positive. p**(-226/45) Simplify ((r/((r*r/(r/(r/(r**(-4/9)/r)*r)))/r))/r**(1/3)*r**(-8)/r**7)/(r*r**(-11)*r*r**0)**(-50) assuming r is positive. r**(-4210/9) Simplify ((i*((i*i**(-3)*i*i*i*i*i)/i)/i*i)**(5/4)/(i**17*i/i**2))**(-2/11) assuming i is positive. i**(49/22) Simplify (k**(-2/83))**(33/2)/((k**(6/7)/k)/k)**44 assuming k is positive. k**(28985/581) Simplify ((d/d**6)/d**(-3)*(d**(-2/3))**(-4))/((d*d**(-2/9))/d*d*(d/d**(-5))/d*(d**(-1)*d)**(7/3)) assuming d is positive. d**(-46/9) Simplify ((o*o**1)**(-13)/((o*o**(-2/5))/(o*o**(-7))))/((o/(o*o*o**0*o)*o*o*(o*o**(-4))/o)/(o**(2/3)*o**(-9))) assuming o is positive. o**(-554/15) Simplify ((s**(-20)*s/((((s**1*s*s)/s)/s)/s))/(s**(-6))**(-4/25))**(-1/28) assuming s is positive. s**(499/700) Simplify (d**(-2/5))**(-2/121)/(d/(((d*d*d*d**(-7))/d)/d)*d**(-2/9))*(d**(1/7)*d**(3/7))**(7/9) assuming d is positive. d**(-11483/1815) Simplify ((t/((t**(-1/6)/t)/t*t)*t)/t*t*t**(-3/2)*t)**(10/9)/(((t*t**(-1/6)/t)/t**(-3))/(t**(-3/4)*t**(-1/4))) assuming t is positive. t**(-47/54) Simplify ((g**(-1/2))**(-28/3)/((g*g*g**(2/9))/((g**6*g)/g*g)))/(g/g**(-1/2)*g*g**(2/7)*g*(g**0)**44) assuming g is positive. g**(713/126) Simplify ((h/(h/(h/(h**0*h))))**44)**(25/7)*(h*h**(-2/7)*h)**8*(h**(1/2)/h)**(-46) assuming h is positive. h**(257/7) Simplify ((g*g**(-8/5)*g*g**(-3))/(g**(-7)/(g**(1/15)*g)))/(((g*g**(-2/3))/g)**(1/5))**35 assuming g is positive. g**(152/15) Simplify (((s*s/(s/(s**4*s)*s))**(-1/72)*(s*s*s/(s*s/((s*s/(s**14*s))/s)))/s*((s**(-4)/s)/s)/s)**(5/3))**(-5/8) assuming s is positive. s**(37925/1728) Simplify (((y*y*(y/(y/y**7)*y)/y)/y*(y*y/(y*y/y**4)*y*y)/y)/(y/(y*y**0)*y/(y*y*y*y*(y**(3/7)/y)/y)*y))/((y**(2/5)/y)**(-1/15))**23 assuming y is positive. y**(2189/175) Simplify ((o**(-6)*o/(o/(o/(o/o**6*o))))/(o**(2/5)/o*o/(o*o**(-12/13))))**(-22) assuming o is positive. o**(1892/65) Simplify y**18*(y*y*y**(-12)*y*y)/y*(y**22/y)/y**(-2) assuming y is positive. y**32 Simplify (((n/n**(-1/4))**(1/31)*n**(-1/7)/(n/(n*((((n/n**(-1/8))/n*n)/n)/n*n)/n)))**(1/26))**(5/9) assuming n is positive. n**(-8485/406224) Simplify (((n**(-6)/n)/n)/(n*(n*n**4)/n*n))**(1/46)*n/(n**(-3/2)/n)*n*n*n**0*(n**(2/9))**(2/163) assuming n is positive. n**(350797/67482) Simplify ((q**(-5)/(q**(1/5)/q*q*q))/(q**(-1)/q)**35)/((q**(1/3)/q*q*q/q**(-4))/((q*(q*q*q**(-2/5))/q)/q*q)**(3/11)) assuming q is positive. q**(9719/165) Simplify (v*v*(v*v/v**(-2/9)*v)/v*v*v**(3/2)*(v**(2/5)/v)**(-13))**(-2/59) assuming v is positive. v**(-1307/2655) Simplify (x**(-3/8)*x**(2/3))**(-7)/((((x**(-1)/x)/x)/x*x*x)/(x*x*x**(-2/11))*(x/(x**0*x*x))**(2/75)) assuming x is positive. x**(3967/2200) Simplify f**(-2/3)*f*f**(-20)*f**(19/5)*f*f*f**(-1)*f assuming f is positive. f**(-208/15) Simplify ((m*m**(-6))/(m/(m**(5/4)*m)))/(m/m**1)**(-2/51)*((m**(-1))**3)**(-3/11) assuming m is positive. m**(-129/44) Simplify (b**(3/5)/b**2)**(-1)*b/(b**(2/15)/b*b)*(b/(b/b**(2/7)*b*b))/b*b*(b/(b/(b**(2/7)*b)))**40 assuming b is positive. b**(5458/105) Simplify ((x*x*(x*x*x**1)/x*x)/(x**(2/9)*x*x))**(-3/5)*((x/x**(1/4))/x**(-4))**(-39) assuming x is positive. x**(-2243/12) Simplify ((m/(m/m**(-2/17)))**34*m**25/(m*m*m**(-1/29)))**(-1/10) assuming m is positive. m**(-276/145) Simplify k*k*k**6*k*k**5*k*(k/(k/k**(-1)))**(-1/25)*((k**(-2/17)*k)/((k/(k**0/k))/k*k))**44 assuming k is positive. k**(-14508/425) Simplify ((z**1*z)**(1/4))**(1/5)/((z/z**1)**(-2/13)*z**(-6/11)*(z*z**(1/2))/z) assuming z is positive. z**(8/55) Simplify ((v/(v/v**(-9)))/(v/(v/((v/v**(1/6)*v)/v))))**8/(v/(v/v**5)*v*(v*v*v**(-6)*v)/v*(v*v**(-2/19))/(v**(-1)/v)) assuming v is positive. v**(-4763/57) Simplify (i**3/(i*i**(-1)/i)*((i/i**(-5))/i*i)**(-39))**21 assuming i is positive. i**(-4830) Simplify (v**18/v)**(4/3)/(v**(5/4))**(-35) assuming v is positive. v**(797/12) Simplify ((k**(-2/3))**(-43))**(-6/5)/((k**1*k/k**4)/(k**(-2/7))**10) assuming k is positive. k**(-1234/35) Simplify (((x*(x*x**(5/2))/x*x*x**(1/7))/(x**(-7)/((x/(x/(x/(x/x**(-3/11)*x)))*x)/x)))**(3/28))**(-13) assuming x is positive. x**(-62283/4312) Simplify (k**(-1/7)/k**(-2/9))/((k/(k*k/(k*k*k*k**7*k)))/(k**(-3/4)/k))*((k*((k/k**2)/k)/k)/k**4)/(k*k**(-3/8)*k*k/k**(-5/4)) assuming k is positive. k**(-10859/504) Simplify (((b**(2/7))**(-30)/(b/(b*(b*b**7)/b)*b*b/(b*b**(-4/5))))**(2/7))**(14/9) assuming b is positive. b**(-472/315) Simplify w**(1/6)/w**2*(w/w**(3/8)*w)/(w*w**(-6))*((((((w**(-1/3)/w*w)/w)/w)/w)/w)**(-14))**(-18) assuming w is positive. w**(-26093/24) Simplify ((l**(-1))**18)**(19/4)/((l/l**2)**(5/6)/(l**(5/3)/l**(1/5))) assuming l is positive. l**(-416/5) Simplify (j**(-7)*j**0*j**(-6)/(j**(-6)/j))**(3/41) assuming j is positive. j**(-18/41) Simplify (z**7*z*z**(-13))**(-17/4)*(z/(z/(z*(z*z**2)/z))*z)**(-18)*z*z**(-4/7)/z*z*z*z*z**(-3/8) assuming z is positive. z**(-2727/56) Simplify ((s**1)**2)**(2/31)*(s/(s/s**(-1)))**(-33)/(s**(-1/4)*s**(-3/7)) assuming s is
{ "pile_set_name": "DM Mathematics" }
third derivative of -98552*h**2*k**4 - 79*h**2*k - 3*h*k**4 - 10518*h*k**2 wrt k? -2365248*h**2*k - 72*h*k Differentiate 633*u**3 + 76*u**2 - 2*u - 2317950 with respect to u. 1899*u**2 + 152*u - 2 Find the third derivative of 539127*k**3*y**2 + 3*k**3*y + 15*k**2*y**2 + 126*k**2*y - 15*k wrt k. 3234762*y**2 + 18*y Find the third derivative of -128155*u**6 - 3*u**5 + 2*u**2 + 1400*u - 2. -15378600*u**3 - 180*u**2 Find the third derivative of t**4 - 449351*t**3 - 28000*t**2 - 3*t. 24*t - 2696106 Differentiate -1447*d**2*z - 90156*d**2 + 3*d*z + 7*z with respect to z. -1447*d**2 + 3*d + 7 Find the second derivative of -447462*c**4 + 32374*c - 13. -5369544*c**2 Find the second derivative of -3785789*c**2 - 589760*c - 1 wrt c. -7571578 What is the derivative of 24592*q**4 - 4*q**3 - q - 1523695 wrt q? 98368*q**3 - 12*q**2 - 1 Find the second derivative of 29*n**3*o**2 - 4*n**3*o + 1205*n**3 + 82*n**2*o**2 + 2*n*o**2 wrt o. 58*n**3 + 164*n**2 + 4*n What is the second derivative of -r**5 - 372879*r**4 - 2*r**2 + 1293*r - 67 wrt r? -20*r**3 - 4474548*r**2 - 4 Find the first derivative of 48*r*z**2 + 10210*r*z + 4147926*z**2 wrt r. 48*z**2 + 10210*z Find the second derivative of 1732*i**4 + 48*i**3 - 16562*i wrt i. 20784*i**2 + 288*i Find the third derivative of -34014*d**6 + 22*d**5 + 4322061*d**2. -4081680*d**3 + 1320*d**2 Differentiate -1554*h**3*w + 19*h**2 - 3132*w + 27 with respect to h. -4662*h**2*w + 38*h What is the first derivative of 347*k**4*y**2 + 7*k*y**3 + y**3 + 2*y**2 + 1468 wrt k? 1388*k**3*y**2 + 7*y**3 Find the second derivative of -2*q*w**2*z**3 - 15227*q*w**2*z**2 + q*w*z**3 + 2*q*z**3 + 7*w - 368*z**3 wrt w. -4*q*z**3 - 30454*q*z**2 Differentiate 593933*k*p**3 + 918121*p**3 wrt k. 593933*p**3 What is the second derivative of -610689*x**5 + 753019*x? -12213780*x**3 Find the first derivative of 432904*o**2 - 1184299. 865808*o Find the third derivative of 226293*b**4 + 368359*b**2. 5431032*b Differentiate 658223*v - 157968. 658223 Find the first derivative of 39505*h**3 - 30750. 118515*h**2 Find the second derivative of -119162*b**2 + 5119*b + 2. -238324 What is the derivative of -41001*k*n**2 - 2*k*n - n**2 + 29*n - 366 wrt k? -41001*n**2 - 2*n What is the third derivative of 20223*c**4*j**3 + 44*c**4*j**2 + 2*c**2*j**3 - 10*c**2*j**2 + c*j**3 + 755*c*j**2 + c*j wrt c? 485352*c*j**3 + 1056*c*j**2 What is the third derivative of -1529638*i**3*n**6 + 30*i**3*n**2 - 733*i wrt n? -183556560*i**3*n**3 What is the derivative of 81278*o**4 - 17931? 325112*o**3 What is the second derivative of -20970*a*c**2*j - 2*a*c*j + 21*a*c + a - 2*c**2*j - 62*c*j wrt c? -41940*a*j - 4*j What is the first derivative of -40*x**2 + 26800*x - 1811519? -80*x + 26800 Find the second derivative of 135621*y**4 + 327593*y. 1627452*y**2 Differentiate u**4 - 5*u**3 - 523*u**2 - 2*u - 61814. 4*u**3 - 15*u**2 - 1046*u - 2 What is the first derivative of z**3 + 5113*z**2 - 37*z - 350310 wrt z? 3*z**2 + 10226*z - 37 Find the second derivative of 4178972*s**2 - 20433*s - 76 wrt s. 8357944 What is the first derivative of -981*a**3*i + 26*a**3 + 26*i**2 + 4*i + 3202 wrt i? -981*a**3 + 52*i + 4 What is the first derivative of -69764*n + 486269 wrt n? -69764 What is the second derivative of -75080*f**3 - 3233*f + 29? -450480*f Find the first derivative of 285834*i**4 + 17026. 1143336*i**3 Find the third derivative of 1637*d**5*w + 9*d**3*w - 9336*d**2 - 9*w wrt d. 98220*d**2*w + 54*w Find the third derivative of -10893*b**5 + 2*b**4 - 382*b**2 - 22 wrt b. -653580*b**2 + 48*b Differentiate -23605*m + 28209 with respect to m. -23605 What is the first derivative of 98217*t**3*y + 176*t**3 - 407*t - 1 wrt y? 98217*t**3 What is the third derivative of -74297*y**3 - 424296*y**2 wrt y? -445782 What is the first derivative of 478364*i + 2045364? 478364 Find the second derivative of 33530*t**2 + 29*t + 19. 67060 What is the third derivative of -47*h**3*l**4 + 1883*h**3*l**2 + h**3 + h**2*l**2 - 2*h**2 - h + 4692*l**4 + l**3 wrt l? -1128*h**3*l + 112608*l + 6 What is the derivative of 66*i**2*j + 974275*i**2 - 1875*i*j + 2*j wrt j? 66*i**2 - 1875*i + 2 What is the second derivative of -18*v**5 - 28*v**4 + 2*v**3 - 25741*v? -360*v**3 - 336*v**2 + 12*v Find the second derivative of -56748*j**5 + 65360*j. -1134960*j**3 What is the derivative of 27*h**2*u + 4608*h**2 + 137*u - 2 wrt u? 27*h**2 + 137 Differentiate -86543*w + 284463. -86543 Differentiate 35*i**3 - 2*i**2 - 167*i - 49760 wrt i. 105*i**2 - 4*i - 167 Find the third derivative of 37*x**6 - 1101*x**3 + x**2 - 1539. 4440*x**3 - 6606 Find the second derivative of -17*j**3 - 1398*j**2 - 397502*j. -102*j - 2796 Find the second derivative of -3413*l**2*t**3*z - 2*l**2*t**3 + 6*l**2*t*z + 6*l*t*z - 21997*l*z - 3*t**3*z + 2*z wrt l. -6826*t**3*z - 4*t**3 + 12*t*z What is the third derivative of 32*n**6 + 17577*n**4 + 71*n**2 - 221*n + 1 wrt n? 3840*n**3 + 421848*n What is the second derivative of -31636*v**4 + 312*v - 559? -379632*v**2 Differentiate 94*g**3*z**4 + 2*g**3 - 282*g*q*z**4 - 4461*q with respect to z. 376*g**3*z**3 - 1128*g*q*z**3 Find the second derivative of -266863*n**4 - 4528484*n wrt n. -3202356*n**2 Find the third derivative of -3*t**4*u - 2*t**4 - 1375*t**3*u - 5*t**3 - 17*t**2 + 6*t*u + 77*t - 3*u wrt t. -72*t*u - 48*t - 8250*u - 30 Find the second derivative of -589*b**2*f**2 + 2*b**2*f*x**2 - 2*b**2*x**2 + 5*b*f**2*x**2 - 43*b*f - 4*b*x**2 - 3*b*x - 2*f**2*x**2 wrt b. -1178*f**2 + 4*f*x**2 - 4*x**2 Find the third derivative of -13095*k**2*x**6 - 4*k**2*x**3 - 1356*k**2*x + k*x**2 + 9 wrt x. -1571400*k**2*x**3 - 24*k**2 What is the second derivative of -k**2*o**2 + 2*k**2*o - 13839*k**2 - 1469*k*o**2 + 3*o**2 + 1 wrt o? -2*k**2 - 2938*k + 6 Find the second derivative of -561031*g**3 - 97*g + 418 wrt g. -3366186*g Find the second derivative of 131*p**3*z**3 - 174*p**3 + 16*p**2*z**5 - 138*z wrt z. 786*p**3*z + 320*p**2*z**3 Find the first derivative of 296843*o**4 + 327612 wrt o. 1187372*o**3 Find the first derivative of 666*h*w**3 + 28*h - 265*w**3 + 2*w**2 - 2 wrt h. 666*w**3 + 28 Find the second derivative of g**2*q**2 + 87558*g**2*q - 167340*g*q**2 + g*q wrt g. 2*q**2 + 175116*q What is the derivative of -469430*c**3 + 290032? -1408290*c**2 Find the second derivative of -97*a*j**2*n + 4*a*j*n - 2*a*n**2 - 32*a*n + 748*j**2*n**2 + 331*j*n**2 wrt j. -194*a*n + 1496*n**2 What is the third derivative of -l**5 + 5952*l**4 + 2*l**2 + 1443*l + 1? -60*l**2 + 142848*l Find the third derivative of 2860736*y**3 - 14*y**2 + 153434 wrt y. 17164416 Find the second derivative of -84*a**2*c**5 - 8177*a**2*c**3 + 1120*a**2*c + 180*a**2 + a wrt c. -1680*a**2*c**3 - 49062*a**2*c What is the third derivative of -6*b**2*h**3 - b**2*h**2*t - 2*b**2 - b*h**3*t + 68*h**3*t - 19*h**2*t + 17*h**2 + t wrt h? -36*b**2 - 6*b*t + 408*t What is the derivative of 6356320*s**3 - 3705200? 19068960*s**2 What is the third derivative of -661*h**4 + 14*h**3 + 86*h**2 + 813*h + 1 wrt h? -15864*h + 84 Find the second derivative of 8*f**3*p + 9*f**3 + 17*f**2*p**3 + f*p**3 + 2*f*p**2 + 2*f - 252*p**3 wrt f. 48*f*p + 54*f + 34*p**3 What is the second derivative of 3*w**4 + 41*w**3*x - 26*w**3 + 86*w*x - w - x + 8 wrt w? 36*w**2 + 246*w*x - 156*w What is the third derivative of 525021*s**3 + 37*s**2 + 2068*s wrt s? 3150126 What is the first derivative of -14750*n**2*p + 4*n**2 + 2*n*p + 11643*n wrt p? -14750*n**2 + 2*n Find the second derivative of -233893*v**2 + 4*v - 101643 wrt v. -467786 What is the third derivative of -209526*m**3 + 6801504*m**2 wrt m? -1257156 Find the first derivative of 87095*b**3 + 138018 wrt b. 261285*b**2 Differentiate 3*c**4*m + 3313*c**2*m - 28856*m wrt c. 12*c**3*m + 6626*c*m What is the second derivative of -489*h**2*q**5 + 830*h**2 - 525*h*q**4 + 228*q wrt q? -9780*h**2*q**3 - 6300*h*q**2 Find the first derivative of f**3*m*s + 10373*f**3*s**3 + 4818*f**2*m*s**3 - 2*s**3 wrt m. f**3*s + 4818*f**2*s**3 Differentiate -n**3 - 1191*n**2 - 8*n + 34858 with respect to n. -3*n**2 - 2382*n - 8 What is the third derivative of -1939*u**4 - 4*u**3 + 133*u**2 + 14*u + 4? -46536*u - 24 Find the second derivative of 1708*a**5 + 93*a**3 - 2*a - 434235 wrt a. 34160*a**3 + 558*a Find the third derivative of -19220*o**4 - 13*o**3 -
{ "pile_set_name": "DM Mathematics" }
the prime factors of s(v). 2, 31 Suppose 82*c - 105394 = 117236. What are the prime factors of c? 3, 5, 181 Let u(f) = -76*f**2 + 2*f - 1. Let k be u(1). Let m = k + 139. List the prime factors of m. 2 Let o = 2291 - 1280. List the prime factors of o. 3, 337 Let j(h) = -h**2 + 8*h - 2. Let u be j(8). Let n be ((-18)/(-21))/(u/(-182)). Suppose 6 = 3*c, -4*i + n = -i + 3*c. What are the prime factors of i? 2, 3 Let m be (36192/72)/(2/3). Suppose 9*s - m = 632. What are the prime factors of s? 2, 7, 11 What are the prime factors of 2/4 - (-37012)/152? 2, 61 Suppose 0 = f - k - 153, -2*f + 4*k = -k - 294. What are the prime factors of f? 157 Suppose 5*k - 2*k - 7 = 4*s, 5*k - 3*s = 19. Suppose k*d + 7 = 4*w - 13, 0 = -w + d + 4. Suppose -c + 32 = -w*c. What are the prime factors of c? 2 Suppose -9*u = -6*u - 3. Let x be u/(24/28 + -1). List the prime factors of (-201)/x - 2/(-7). 29 Let p = -1235 + 2643. List the prime factors of p. 2, 11 Suppose 0*d = 5*d - 60. Let w(r) = -23 + r + 12 + 13. List the prime factors of w(d). 2, 7 Let g(l) = 17*l**2 - 42*l - 12. What are the prime factors of g(9)? 3, 7, 47 Let a(f) be the first derivative of 8*f**3/3 - f**2/2 + 6*f - 8. What are the prime factors of a(-3)? 3 Suppose -7*m - 187 + 3883 = 0. List the prime factors of m. 2, 3, 11 Let r(c) = -c**3 - 2*c**2 - 7*c + 2. Let f be r(4). Let s = 215 + f. What are the prime factors of s? 3, 31 Suppose 0 = -2*r - 3*a + 3908, 51*a - 46*a + 9770 = 5*r. List the prime factors of r. 2, 977 Suppose a + 4 = 3*y - 8, 2*y - 4*a - 18 = 0. Suppose 0 = -h - y*f + 39, -2*h + 32 + 47 = 5*f. Suppose -h = -3*x + 30. What are the prime factors of x? 2, 3 Suppose 606*y = 601*y + 1240. List the prime factors of y. 2, 31 Suppose -35 - 349 = -6*k. List the prime factors of k. 2 Let k(x) = -x**3 - 5*x**2 - x - 1. Let c be k(-5). Let w be 10/c*6/15. Suppose -w - 1 = -o. List the prime factors of o. 2 Let v = -676 - -1435. What are the prime factors of v? 3, 11, 23 Let g = -40 - 4. Let q = 12 - g. List the prime factors of q. 2, 7 Suppose 3*s + 6 = -d + 2*s, 2*d = 3*s - 12. What are the prime factors of (258/(-18) + -1)/(4/d)? 23 Suppose 2*g - 2*q = 282, -3*g = -g - 4*q - 288. Let d = g + -41. List the prime factors of d. 97 Let y be (-623)/(-14) + (-3)/6. Suppose -f = 13 - y. Suppose 0 = 5*m - 2*c - f, -4*m - 7 = 3*c - 41. List the prime factors of m. 7 List the prime factors of (-25 + 1)*-7*4. 2, 3, 7 Suppose 0 = -2*g - 28*p + 29*p + 2850, -4*g + 5728 = 5*p. List the prime factors of g. 1427 Let p(j) = j**3 + 2*j**2. Let h be p(-2). Suppose u + 4*y + 7 = -58, u - 3*y + 30 = h. Let d = -23 - u. List the prime factors of d. 2, 11 Let r be (-92)/3*45/(-6). Suppose -r = -8*h + 3*h. What are the prime factors of h? 2, 23 Let a = 21 + -36. Let p = a - -3. Let s = p + 31. List the prime factors of s. 19 Let s = -17 - -21. Suppose 227 = 3*i + s*t, 0 = -i + t - 0*t + 85. List the prime factors of i. 3 Let u = -62 + 152. Suppose f - u = -f. What are the prime factors of f? 3, 5 Let j be 3/(-1) + -1 + 161. Suppose 5*k = 3*b - 214, -k + 467 - j = 5*b. List the prime factors of b. 3, 7 Suppose 13946 = 16*n - 4310. What are the prime factors of n? 7, 163 Let q(l) = 11*l + 50. Let n be 5/(25/10) + 3. List the prime factors of q(n). 3, 5, 7 Suppose -2*j - 5*t - 67 = 0, 0*j + 5*t = -3*j - 88. Suppose 2*s = -3*a - 2*a - 116, -3*s - 5*a = 164. Let r = j - s. What are the prime factors of r? 3 Suppose 4*w + 5*a - 2279 = 3*w, 0 = -w - a + 2259. List the prime factors of w. 2, 7, 23 Suppose -14*c + 150 = -9*c. List the prime factors of 15/c + 3/((-12)/(-230)). 2, 29 Let k be (2 - -7) + 0 + 4/(-2). Let o = k + 28. List the prime factors of o. 5, 7 Let p(n) = n**2 - 19*n - 137. List the prime factors of p(26). 3, 5 Let v(s) = -99*s + 176. List the prime factors of v(-17). 11, 13 Let u be (-12 - 1)/(3 + 1 + -3). What are the prime factors of (39/u - 184/6)*-3? 101 List the prime factors of 40/(-6)*(-17655)/110. 2, 5, 107 Suppose -4*f = -2*m - 22, 16 = -m - 3*m + f. Let o(l) = l + 2. Let b be o(m). List the prime factors of 2/(b + (-49)/(-47)). 47 Suppose -3131 = -7*g - 387. List the prime factors of g. 2, 7 Let i be (6 - -2)*(-42)/8. Let m = 49 + -55. List the prime factors of 14/i - 224/m. 37 Suppose 4*v + y = 18091, 51*v - y = 49*v + 9041. List the prime factors of v. 2, 7, 17, 19 Suppose 528 = -6*h + 126. Let m = h - -124. Let x = m + 1. List the prime factors of x. 2, 29 What are the prime factors of (-95)/4*(-1320)/75? 2, 11, 19 Suppose v - 821 = -2*z + 223, 4*z - 3130 = -3*v. What are the prime factors of v? 2, 521 Let i = -296 - -450. What are the prime factors of i? 2, 7, 11 Suppose 0 = -2*h - 2*h + 2*c - 10, 4*h - 5 = -3*c. Let v = h + 4. Suppose 0*z - 39 = -v*z. What are the prime factors of z? 13 Let q be 14/(-7)*(-2)/(-4). Let u(p) = -29*p**3 - 2*p - 1. Let v be u(q). Suppose -5*a - v = -5*y, 0*y - 2*a = 2*y + 4. List the prime factors of y. 2 Let m(g) = 5*g**3 - 10*g**2 + 14*g + 25. List the prime factors of m(8). 11, 17 Let k be 13541/66 + 2/(-12). What are the prime factors of ((-2)/2)/((-5)/k)? 41 Let b = 1399 + 673. List the prime factors of (102/(-8))/((-111)/b). 2, 7, 17 Suppose 3917 = -28*j + 14921. What are the prime factors of j? 3, 131 Suppose 2*g - 8 = 0, 0 = -3*w - 0*w + 2*g - 2. Suppose -86 = -w*t + 118. Let f = -60 + t. What are the prime factors of f? 2, 3, 7 Let r = 32 + -18. Let v = 27 - r. Suppose -b - 2 = -v. What are the prime factors of b? 11 Let l = 36 + -50. Let s be (12/l)/((-2)/(-14)). What are the prime factors of s/7*(-140)/10? 2, 3 Suppose 0*k - 5*k + 28 = -2*j, -k + 5*j + 24 = 0. Suppose 74 = 3*w + k*x - 12, 10 = 5*x. Suppose -5*l + w = -274. List the prime factors of l. 2, 3, 5 Let i = 80 + -221. Let k = 309 + i. List the prime factors of k. 2, 3, 7 Let w(f) = -f**2 + 6*f + 2. Let d be w(6). Suppose 4 = -d*l + 40. What are the prime factors of l + 3*(-8)/(-12)? 2, 5 Let n = -8 + 17. Let z = n + -13. What are the prime factors of 0 - -1*(3 - z)? 7 List the prime factors of 4064/40*(-5)/(-2). 2, 127 Let f = -5215 - -7301. What are the prime factors of f? 2, 7, 149 Suppose 24*x - 20*x - g = 1911, 0 = -x + 3*g + 486. List the prime factors of x. 3, 53 Suppose -3*k = 2*k - 15. Suppose -2*w + n = 18, -n + k*n - 28 = 3*w. What are the prime factors of (w + 7)/(1/(-19))? 19 Let y be 12/7 + ((-8)/(-7))/4. What are the prime factors of 0 + 158 + (y + -1 - 2)? 157 Let p(v) = 2*v + 11. Let s be p(16). Suppose -349 = -9*m - s. List the prime factors of m. 2, 17 Let t be -78 - (-1 - 8/(-4)). Let x = 157 + t. What are the prime factors of x? 2, 3, 13 Let z = 2450 - 1889. List the prime factors of z. 3, 11, 17 Suppose 0 = 5*o + 5, 3*g + o = 3*o + 41. Suppose -g*r + 18*r = 790. What are the prime factors of r? 2, 79 Let p be (-2)/(-6) + (-100)/(-6). Let d = -16 + p. List the prime factors of (8 - 31)*-1*d. 23 Let u = 83 + 623. What are the prime factors of u? 2, 353 Let u = 447 + 149. List the prime factors of u. 2, 149 Suppose -51*a - 1190 = -61*a. List the prime factors of a. 7, 17 Let w be (1 - -2) + 1 + -4. What are the prime factors of (w - 10/(-4))*32/20? 2 Let y(m) = -13*m**2 - 2*m + 4. Let j(g) = 12*g**2 + 2*g - 6. Let u(d) = -3*j(d) - 4*y(d). Let r be ((-1)/1*2)/1. What are the prime factors of u(r)? 2, 31 Suppose -9201 - 5450 = -13*l. What are the prime factors of l? 7, 23 Suppose 19*d = 27*d - 40. Suppose 1048 = d*j - 572. What are the prime factors of j? 2, 3 Suppose u = -4*u - k, 5*k = 5*u. List the prime factors of (17 + -57)*(-1 - u). 2, 5 Let g(u) = 4*u**2 + 11*u - u**2 - 3 + 0*u - 4*u**2. What are the prime factors of g(6)? 3 Let d(p) = p + 13. Let a be d(-7). Let t(l) = -l**3 + 3. Let s be t(0). Suppose r = s*r - a. What are the prime factors of r? 3 Let z(y) be the third derivative of 0*y + 0 - 3*y**2 + 1/30*y**5 - 1/24*y**4 + 1/6*y**3. What are the prime factors of z(3)? 2 Let n(z) = 4*z - 1. Let k be n(1). Suppose -3*i + y = -236 - 96, 4*i = y + 442. Suppose l + 3*l = k*m + 85, 2*m = -4*l + i. List the prime factors of l. 5 Let h = 3 - -16. Suppose -h*c = -17*c - 124. What are the prime factors of c? 2, 31 Let f = 10 - 11. Let w = f - -7. Suppose o + 115 = w*o. List the prime factors of o. 23 Let w = -7 + 11. Suppose -w*v + 26 = -34. What are the prime fact
{ "pile_set_name": "DM Mathematics" }
t one hundred thousand. 1200000 Let x = -10466778079010308.50000009 + 10466777905557599. Let f = -173452708 - x. Let q = 1.5 - f. Round q to seven decimal places. -0.0000001 Let n = -81.99 - -81.989992515. Round n to six dps. -0.000007 Suppose 0 = 60*x - 59*x + 6. Let l be 3 + (x/18)/(2/42). Let q = l - 34. What is q rounded to the nearest 10? -40 Let z = 29213.77 + -29366. Round z to the nearest ten. -150 Suppose 0 = -3*m + 3*b + 13371, 4*m - b = 3337 + 14494. Round m to the nearest one hundred. 4500 Let z be (-74)/4 - (-2)/4. Let r be ((-12)/z)/(2/9948). Suppose -2*h - 4*b - r = h, -3*b - 1112 = h. Round h to the nearest 1000. -1000 Let x = 0.54161862 + -0.5415. Round x to 5 decimal places. 0.00012 Let f = -1.72 - 42.28. Let s = f - -44.00000952. Round s to six decimal places. 0.00001 Let q = -127 + 194. Let o = 67.000044 - q. What is o rounded to five dps? 0.00004 Let p = 22 + 12. Let k = 654618.545 + -654584.5449999. Let g = p - k. Round g to six decimal places. 0 Let i = -375.3 + 375.31553. Round i to three dps. 0.016 Let u = -907.7721 - -912.12. Let s = 4.32 - u. Round s to two decimal places. -0.03 Let g = -0.15393 + -29.05107. What is g rounded to the nearest 10? -30 Let g = 6.2931 + 2771.6069. Round g to the nearest 10. 2780 Suppose 5*x + 1870 = 2*z, 2*z + 533 = -2*x - 215. Let n = -222 - x. Let f be (n/(-95) - 4/10) + 4. What is f rounded to the nearest integer? 2 Let y = 0.0351619 - 0.03509. What is y rounded to 5 decimal places? 0.00007 Let l = -60.513 - 0.487. Let f = 1.095 + 60.205. Let o = l + f. What is o rounded to the nearest integer? 0 Let l = -164092.24192 - -168239.2412258. Let s = l - 4147. What is s rounded to four dps? -0.0007 Let d = 0.0512746 + -0.0516. What is d rounded to five decimal places? -0.00033 Let i = 4934 - 4934.3164. Round i to 2 dps. -0.32 Let h(k) = 1246*k + 6. Let q be h(3). Suppose 2*d = 4*d - q. Let s = 12072 - d. What is s rounded to the nearest 1000? 10000 Let t = -450 + 840. Let j = t + -389.99999503. Round j to 7 dps. 0.000005 Let q = 199077 - 199182.147. What is q rounded to the nearest 10? -110 Let c = -28648 - -28648.24699. What is c rounded to three dps? 0.247 Let h = 6022.5000026989 - 6022.5. What is h rounded to six decimal places? 0.000003 Let i = 5065.6219 - 5066. Let f = -216.361 - -216. Let z = i - f. What is z rounded to 3 decimal places? -0.017 Suppose 0 = -67*y + 71*y + 16. Let i(r) = -r**2 + 3*r - 3. Let d be i(2). Let w be 4/y + -14 + d. What is w rounded to the nearest 10? -20 Let g be (-50*37871)/(-10) + (2 - 0). Let q = -278057 + g. Round q to the nearest ten thousand. -90000 Let j = -0.03122 - -0.05801. Round j to 3 decimal places. 0.027 Let a be (-7 - -9)*(-2 + 9). Suppose 0 = -16*b + a*b + 50156. Suppose 0 = 5*r - b - 114922. Round r to the nearest 100000. 0 Let j = 3.19 + -0.02. Let g = -12.67 + j. Round g to the nearest integer. -10 Let t = -135.016 - -5560.116. Round t to the nearest 100. 5400 Let l = -123.822553 - -10.820623. Let n = l - -113. What is n rounded to four decimal places? -0.0019 Let k(p) = -p + 11. Let w be k(7). Suppose -6*q + 4 = -w*q. Suppose -q*y - y = 153. Round y to the nearest ten. -50 Suppose -2*x - 5*z - 2956 + 25406 = 0, -56158 = -5*x + 4*z. What is x rounded to the nearest one hundred? 11200 Let p = 162 + -171.1. Let c = p + -5.1. Let v = c + 3.7. Round v to the nearest integer. -11 Let o = 190922704 + -178523084.9. Let v = -12399589.1000006 + o. Let f = v + -30. Round f to six dps. -0.000001 Let x(k) = -196798*k - 566. Let o be x(3). What is o rounded to the nearest ten thousand? -590000 Let c = -11264 + 11264.0000016386. What is c rounded to seven dps? 0.0000016 Let q = 1160730 + -795430. Round q to the nearest ten thousand. 370000 Suppose 82*o - 1588110 = 76*o. Let p = -59685 + o. Round p to the nearest one hundred thousand. 200000 Let c = 5.92 - 304.92. Let q = 220.5 + c. Round q to 0 dps. -79 Let o = -7.6436 + 7.64421231. What is o rounded to 4 dps? 0.0006 Let i = 0.26 - 1.76. Let h = -1.50000812 - i. What is h rounded to 6 decimal places? -0.000008 Let z = 76 - 75.946. Let u = z - 0.002. Let o = 0.0519687 - u. Round o to 5 dps. -0.00003 Let l = 24.2 + 225.8. Let i = l - 541. Let u = -290.99999743 - i. Round u to 6 dps. 0.000003 Let i = 4062 - 7636. Let k = -3573.9997119 - i. Round k to 5 dps. 0.00029 Let x = 147.4 - -57.8. Let f = -63.4 + x. Round f to the nearest ten. 140 Let y = -10726 + 10655.71. Let j = y - 45.73. Let z = 116 + j. What is z rounded to 1 dp? 0 Let p = 26 + 23. Let g = p - -18. Let c = -66.836 + g. Round c to two dps. 0.16 Let l = -26671.99983043 - -26672. Round l to five decimal places. 0.00017 Let b = 502 + -230. Let h = -271.999889 + b. Round h to 5 decimal places. 0.00011 Let v = -944.3 + 944.299997599. Round v to seven dps. -0.0000024 Suppose -250*c = -221*c + 69774000. What is c rounded to the nearest one hundred thousand? -2400000 Let s = -7429 - -7429.4143. Let c = s + -0.41428191. Round c to six dps. 0.000018 Let l = 1527.8 + -1698.51. Let n = -178.8 - l. What is n rounded to 1 dp? -8.1 Let u = -393.73 + -413.75. Let i = u - -816. What is i rounded to one dp? 8.5 Let p = -0.170872912 + -213.829072888. Let w = p + 214. What is w rounded to five decimal places? 0.00005 Let v(j) = 1978*j**3 + 7*j**2 - 3*j - 29. Let o be v(-3). Round o to the nearest 100. -53400 Let p = 17.87 + 4177.63. Round p to the nearest 1000. 4000 Let f = -129.439992789 + 129.44. Round f to 6 dps. 0.000007 Suppose -28854 + 92911 = -7*g. Let l = g + 3511. What is l rounded to the nearest one thousand? -6000 Let f = 491.4 - 490.2906. Round f to one dp. 1.1 Let v = -2795 - -3129.2. Let x = v + -287. What is x rounded to the nearest integer? 47 Suppose 4*b + b = 9*b. Suppose b = -w + 84884 + 23916. Round w to the nearest ten thousand. 110000 Let w = -122 - -126. Suppose 0 = w*h + h - 0*h. Suppose -4*u - 9855709 - 9104291 = h. Round u to the nearest one hundred thousand. -4700000 Suppose -k = 18 - 20. Let v be (1 + -3 - -34516) + -1 + k. Suppose 3*h + v + 2085 = 0. What is h rounded to the nearest 1000? -12000 Let m = -37 - -40. Let w(b) = b**2 + 2*b - 19. Let o be w(3). Let p be (m/(-1) - (o - 16)) + 3. Round p to the nearest one thousand. 0 Let o = -346 - -244. Let c = -53 - o. Let q = c + -49.000096. What is q rounded to 5 dps? -0.0001 Suppose 3*g = 7*g. Let b(q) = 2*q - 111. Let u be b(g). Let t be u + (2 + -2 - -2). Round t to the nearest ten. -110 Let m = 146 + -98. Let i = m - 48.0435. Round i to three decimal places. -0.044 Suppose -15*g + 8*g = -496391. Let i be -3 + -5 + (g - 5). Round i to the nearest 10000. 70000 Let m be (-878614)/3 + 105/(-63). Let v = m - 30127. Round v to the nearest 10000. -320000 Suppose 40988 = v - 0*n - 3*n, -n + 163900 = 4*v. Let r be 84*(-6284)/3*(-26)/52. Let f = v - r. Round f to the nearest ten thousand. -50000 Let j = 2 - -10. Let l = -11.85 + j. Let c = l - 0.15000055. Round c to seven decimal places. -0.0000006 Let u = -30298971787963.000113 + 30299070803813. Let v = u + -99015757. Let m = -93 + v. What is m rounded to 5 decimal places? -0.00011 Let k = -20015.49 + 20096. Let h = 75 - k. Round h to 1 decimal place. -5.5 Suppose 7459775 = 3*m + u - 8335229, 2*u - 10530008 = -2*m. What is m rounded to the nearest one million? 5000000 Let p = -5.6 - -5.7. Let f = p - -37.9. Let a = -37.9874 + f. What is a rounded to three dps? 0.013 Let w(g) = 45664*g - 16. Let s be (4/2 - 4) + (-10)/(-2). Let q be s/(27/(-6))*9. Let n be w(q). What is n rounded to the nearest ten thousand? -270000 Let p = -1.332 - -1394.332. Let f = -9662.903 + 8270.64. Let l = f + p. What is l rounded to one dp? 0.7 Let s = -446936 + 211786. Round s to the nearest 1000. -235000 Let o = 2536.99978016 - 2537. What is o rounded to 5 decimal places? -0.00022 Let o = 0.053721 + 2.538179. Round o to one decimal place. 2.6 Let a = -8770.1537086 - -0.0437086. Let l = 8815 + a. What is l rounded to the nearest integer? 45 Let t = -248885.1517 + 248901. Round t to 0 dps. 16 Let l = -663245805 - -663245874.0000046. Let r = 68.43 - -0.57. Let c = r - l. Round c to 6 dps. -0.000005 Let h = 1224725658 - 1224725657.320999483. Let d = -0.679 + h. What is d rounded to seven dps? 0.0000005 Suppose 0 = -2*s - 2*f - 810718, s - 317*f + 316*f + 405361 = 0.
{ "pile_set_name": "DM Mathematics" }
n two letters picked without replacement from uuuuuugguuug. 1/22 Two letters picked without replacement from {v: 5, g: 9}. Give prob of picking 2 v. 10/91 Four letters picked without replacement from txtstsxxxxstx. What is prob of picking 2 x, 1 t, and 1 s? 36/143 Three letters picked without replacement from {p: 3, l: 4, j: 4, o: 4}. What is prob of picking 1 o, 1 l, and 1 p? 48/455 What is prob of picking 1 c, 1 o, and 2 z when four letters picked without replacement from {f: 1, c: 1, z: 7, o: 5}? 15/143 Two letters picked without replacement from {f: 9, h: 11}. Give prob of picking 2 h. 11/38 What is prob of picking 2 o when two letters picked without replacement from ooio? 1/2 Two letters picked without replacement from {p: 7, e: 1, v: 4, u: 2}. Give prob of picking 2 u. 1/91 Calculate prob of picking 2 d when two letters picked without replacement from {d: 3, u: 7, g: 9}. 1/57 What is prob of picking 1 w and 1 b when two letters picked without replacement from vwbbbvwvwvbbv? 5/26 Three letters picked without replacement from sssrjjjs. Give prob of picking 2 j and 1 s. 3/14 What is prob of picking 1 n and 1 u when two letters picked without replacement from ukxusnp? 2/21 Three letters picked without replacement from ppppppp. What is prob of picking 3 p? 1 Calculate prob of picking 1 z and 1 g when two letters picked without replacement from ggggfzgffgzggfgf. 3/20 Three letters picked without replacement from {q: 2, z: 4, b: 2, h: 2, s: 3}. Give prob of picking 2 q and 1 b. 1/143 Calculate prob of picking 1 j and 1 h when two letters picked without replacement from jjjjjjjjjhjj. 1/6 Calculate prob of picking 1 c and 3 e when four letters picked without replacement from ptemeccpetec. 4/165 Four letters picked without replacement from {y: 4, l: 2, j: 2}. What is prob of picking 2 j and 2 l? 1/70 Three letters picked without replacement from rrrrryrrryynrryyr. Give prob of picking 1 y, 1 r, and 1 n. 11/136 Three letters picked without replacement from gddttdgtrrgdd. Give prob of picking 1 r, 1 d, and 1 t. 15/143 Three letters picked without replacement from {m: 2, w: 2, k: 2, l: 3}. What is prob of picking 3 m? 0 Calculate prob of picking 1 p, 1 i, 1 j, and 1 q when four letters picked without replacement from {b: 4, q: 5, p: 5, i: 1, j: 1}. 5/364 Calculate prob of picking 1 t and 1 v when two letters picked without replacement from vvxtx. 1/5 Two letters picked without replacement from {h: 6, c: 2, z: 4}. What is prob of picking 1 z and 1 c? 4/33 Two letters picked without replacement from ymmymmmmmm. Give prob of picking 2 m. 28/45 Calculate prob of picking 2 k when two letters picked without replacement from ukkkkkkkhkkkuk. 55/91 Two letters picked without replacement from icz. What is prob of picking 1 z and 1 c? 1/3 Calculate prob of picking 1 x and 3 e when four letters picked without replacement from zexzezzxzeezzezzzzzz. 4/969 What is prob of picking 1 s and 1 d when two letters picked without replacement from {d: 8, s: 5}? 20/39 Four letters picked without replacement from uqsqzlzvlslvszs. Give prob of picking 1 z, 2 q, and 1 l. 3/455 What is prob of picking 1 k and 1 d when two letters picked without replacement from {t: 1, d: 1, b: 2, m: 2, s: 1, k: 1}? 1/28 Calculate prob of picking 1 y, 1 o, and 1 b when three letters picked without replacement from ubyubyombbmybubbum. 7/272 Two letters picked without replacement from susuvhhhvuuzzhhhz. Give prob of picking 1 v and 1 z. 3/68 Two letters picked without replacement from {d: 1, s: 1, a: 4, r: 4, v: 3}. What is prob of picking 2 v? 1/26 What is prob of picking 1 m and 1 p when two letters picked without replacement from pppppmppmppp? 10/33 Two letters picked without replacement from {t: 2, h: 2, i: 1, m: 1, k: 1, b: 1}. Give prob of picking 1 i and 1 h. 1/14 Calculate prob of picking 2 k when two letters picked without replacement from {l: 4, s: 1, n: 1, k: 2}. 1/28 Four letters picked without replacement from {m: 1, i: 3, s: 2, c: 2, e: 4, z: 2}. Give prob of picking 2 c, 1 e, and 1 z. 8/1001 What is prob of picking 2 m when two letters picked without replacement from {d: 6, m: 4}? 2/15 Calculate prob of picking 1 i, 1 g, and 1 m when three letters picked without replacement from ijmigmxiig. 2/15 Three letters picked without replacement from yyiiiiiiyyi. What is prob of picking 2 i and 1 y? 28/55 Calculate prob of picking 2 m and 2 a when four letters picked without replacement from {m: 8, a: 5}. 56/143 Two letters picked without replacement from {j: 5, e: 1, r: 2, q: 1}. What is prob of picking 1 q and 1 r? 1/18 Calculate prob of picking 1 n, 1 s, and 1 x when three letters picked without replacement from snxsnssnsn. 1/6 Three letters picked without replacement from twwtwtzttwpjtwtj. What is prob of picking 1 j, 1 p, and 1 t? 1/40 Calculate prob of picking 1 y, 1 x, and 2 d when four letters picked without replacement from {y: 4, x: 2, d: 2}. 4/35 Calculate prob of picking 2 z and 2 g when four letters picked without replacement from {z: 12, g: 6}. 11/34 Three letters picked without replacement from {h: 3, c: 1, l: 4}. Give prob of picking 1 l and 2 h. 3/14 Three letters picked without replacement from hhhhphhhhhhhh. What is prob of picking 1 p and 2 h? 3/13 Four letters picked without replacement from {d: 5, r: 3}. What is prob of picking 3 d and 1 r? 3/7 Two letters picked without replacement from uyuyyuyys. Give prob of picking 2 u. 1/12 Three letters picked without replacement from {y: 2, e: 2, o: 1, n: 1, p: 4}. What is prob of picking 2 e and 1 o? 1/120 Two letters picked without replacement from {n: 5, f: 2, k: 4}. What is prob of picking 2 n? 2/11 Four letters picked without replacement from mimmii. Give prob of picking 2 i and 2 m. 3/5 Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {e: 2, l: 4, k: 4, b: 6, m: 2, t: 1}. 8/171 Two letters picked without replacement from {i: 7, a: 4}. Give prob of picking 2 i. 21/55 Four letters picked without replacement from {x: 2, a: 2, j: 3, m: 2}. What is prob of picking 1 x, 1 j, and 2 a? 1/21 What is prob of picking 1 k and 1 p when two letters picked without replacement from wphztwwkwzpwkpkzpk? 16/153 What is prob of picking 2 g when two letters picked without replacement from gstgtgsmm? 1/12 Two letters picked without replacement from {g: 2, j: 1, z: 1, i: 5, r: 8}. Give prob of picking 1 g and 1 i. 5/68 Three letters picked without replacement from zzszzzs. Give prob of picking 1 z and 2 s. 1/7 Three letters picked without replacement from {i: 5, n: 1, u: 5, z: 1}. What is prob of picking 2 i and 1 u? 5/22 Calculate prob of picking 1 y, 1 z, and 1 p when three letters picked without replacement from {b: 4, y: 2, p: 1, z: 2, j: 5}. 1/91 Calculate prob of picking 4 i when four letters picked without replacement from {f: 4, i: 7, y: 2, e: 1}. 5/143 Calculate prob of picking 2 j and 1 q when three letters picked without replacement from {j: 4, q: 2, d: 3}. 1/7 Two letters picked without replacement from mzmmgtogmzmwz. Give prob of picking 1 z and 1 g. 1/13 Three letters picked without replacement from ozwbbbbx. Give prob of picking 1 w, 1 z, and 1 x. 1/56 Two letters picked without replacement from tnntnttt. Give prob of picking 2 n. 3/28 Four letters picked without replacement from bookllalbalblov. Give prob of picking 1 b, 1 l, and 2 o. 3/91 Calculate prob of picking 2 y when two letters picked without replacement from yyyyyyyyy. 1 Calculate prob of picking 1 a, 1 k, and 1 j when three letters picked without replacement from jxjjtajaataakaj. 6/91 Two letters picked without replacement from rrjrjj. What is prob of picking 1 j and 1 r? 3/5 Two letters picked without replacement from {o: 1, f: 1, n: 1, g: 4, m: 2}. Give prob of picking 2 g. 1/6 What is prob of picking 1 x and 3 u when four letters picked without replacement from uuuxuuuuxuuu? 16/33 Calculate prob of picking 2 f when two letters picked without replacement from fbbbsbbmbmmbmfbmbbms. 1/190 Calculate prob of picking 1 g, 1 e, and 2 f when four letters picked without replacement from axxeeffaaegxxxf. 3/455 Three letters picked without replacement from {z: 11, i: 3}. What is prob of picking 3 z? 165/364 What is prob of picking 1 l, 1
{ "pile_set_name": "DM Mathematics" }
+ g*q(a). -3*a**3 + 1 Let c(r) = 8*r**2 + 7*r - 7. Suppose -7*f + 78 - 29 = 0. Let l(o) = 4*o**2 + 3*o - 3. Let z be (-8)/28 - (-38)/(-14). Give f*l(p) + z*c(p). 4*p**2 Let a(d) = -14*d - 16. Let o(p) = 5*p + 5. Give 5*a(u) + 16*o(u). 10*u Suppose 0 = -4*b - 0 + 12. Suppose -3 = b*n - 0*n. Let p(s) = -s + 1. Let y be -2 - (7 + -7) - (2 - (-1 - 1)). Let k(x) = 9*x - 5. What is n*k(t) + y*p(t)? -3*t - 1 Let w(x) = -x - 1. Let q be (-1)/(-6) - 225/54 - -3. Let c(g) = 6*g**2 - 4*g - 4. What is q*c(j) + 4*w(j)? -6*j**2 Let n(z) = -z + 1. Suppose 3*s + 85 = -4*r - r, 2*s - r = -35. Let t be (-6)/(24/s) + 0 + 1. Let h(l) = l**3 + 6*l - 9. Determine t*n(x) + h(x). x**3 - 3 Let j(f) = -2*f**2 + 4. Suppose -7*o = -27 - 1. Let u(z) = 5*z**2 - 11. Determine o*u(w) + 11*j(w). -2*w**2 Let o(q) = 61 + 2*q**3 - 3*q**2 + 5*q - 54 + 4*q**2. Let x(n) = 2*n**3 + n**2 + 4*n + 6. Give -4*o(l) + 5*x(l). 2*l**3 + l**2 + 2 Let m(n) = -6*n. Suppose 5*x - 12 = 3*x. Let h(s) = 2*s - x*s + s. Suppose -4*r - 30 = -3*f, -5*r - 61 = -2*f - 34. Determine f*m(b) - 11*h(b). -3*b Let j(m) = 7 + 7*m**2 + 0*m**3 + m**3 - 2*m**3 + 9*m - 3*m**3. Let w(f) = 2*f**3 - 3*f**2 - 4*f - 3. Calculate -4*j(i) - 9*w(i). -2*i**3 - i**2 - 1 Let c(k) = k - 1. Let l be 0/3 + 1 + 1. Let a(h) = -2 - 6 + 4 + 3*h + 2. Let g be 2/(-4) + 3/(-6). What is g*a(w) + l*c(w)? -w Let p(n) = n**2 - n - 1. Let c(v) = -23*v**2 + 87*v + 15. Let g(z) = 11*z**2 - 39*z - 7. Let w(m) = -4*c(m) - 9*g(m). Determine 3*p(q) + w(q). -4*q**2 Let t be (-57)/(-51) - 2 - 4/34. Let c(l) = 1 + 2*l**3 + 2*l**2 - l**2 - l**3. Let r(s) = 4*s**3 + 4 + 3*s**2 + 0*s**2 + s**3. Determine t*r(n) + 3*c(n). -2*n**3 - 1 Let k(w) = 21*w**2 - 4. Suppose -182 = 25*y - 32. Let u(b) = -11*b**2 + 2. Calculate y*k(i) - 11*u(i). -5*i**2 + 2 Let c(i) = i**3 - i**2 + 0*i**3 + 0*i**2 - i. Let v be (104/(-325)*(-25)/20)/(8/20). Let h(u) = -3*u**3 + u**2 - 2. Give v*h(y) + c(y). -2*y**3 - y - 2 Let x(i) = 8*i**3 + 2*i**2 + i + 2. Let v(y) = 9*y**3 + 2*y**2 + 2*y + 1. Give 2*v(z) - 3*x(z). -6*z**3 - 2*z**2 + z - 4 Let s(r) = 4*r + 1. Suppose 98 = -52*w + 3*w. Let v(p) = p**2 + 1. Calculate w*v(j) + s(j). -2*j**2 + 4*j - 1 Suppose 0 = 5*t + w + 32, -t - w - 10 = -2. Let m(k) = 489*k**3 - 494*k**3 - 2 + 8*k + 0. Let i(c) = 14*c**3 - 23*c + 6. What is t*i(h) - 17*m(h)? h**3 + 2*h - 2 Let p(l) = l + 1 + 2 - 1. Let o(t) = t + 3. Let m(w) = -23*w + 120. Let i be m(5). What is i*p(d) - 3*o(d)? 2*d + 1 Let t(x) = -16*x**3 - 30*x**2 + 24*x - 15. Let h(r) = 8*r**3 + 14*r**2 - 11*r + 7. What is 13*h(q) + 6*t(q)? 8*q**3 + 2*q**2 + q + 1 Let c(f) = -7 + f + 0 + 4. Let l(v) = 2. Let b(n) = 2*c(n) + 3*l(n). Let d(y) = -y**2 + y - 1. Let u be d(1). Let m(s) = -s. Determine u*b(w) - 4*m(w). 2*w Suppose -5*m - 31 = 24. Let o(v) = -193 + 197 - 11*v + 11*v**2 + 3*v**3 - 16*v**3. Let q(d) = -7*d**3 + 6*d**2 - 6*d + 2. What is m*q(f) + 6*o(f)? -f**3 + 2 Let q(d) = 13*d - 28. Let y(m) = 4*m - 9. What is 3*q(v) - 8*y(v)? 7*v - 12 Let t(l) = -3*l**3 + 44*l**2 + 5*l + 4. Let g(j) = 5*j**3 - 68*j**2 - 8*j - 6. Calculate -5*g(d) - 8*t(d). -d**3 - 12*d**2 - 2 Let y(l) be the second derivative of 91*l**3/2 - 192*l. Let v(u) = -26*u. Give -52*v(d) - 5*y(d). -13*d Let p(g) = 16*g**2 - 4. Let b be (-1952)/244*(-1)/2. Let q(r) = -31*r**2 + 9. Give b*q(u) + 9*p(u). 20*u**2 Let l(v) = -14*v**2 + 1. Let d be l(1). Let x(m) = 4*m + 13. Let g(y) = 40*y - 3. Let a(j) = 214*j - 14. Let c(s) = 3*a(s) - 16*g(s). Determine d*c(q) + 6*x(q). -2*q Let n be 24/30*15*(-3)/(-9). Let k(o) = o - 4. Suppose -l = -2*l + 2. Let p be l/7 - (-37)/(-7). Let g(q) = q - 3. Determine n*k(j) + p*g(j). -j - 1 Let j(m) = -m**2 + 3*m - 3. Suppose -3*g + 2 = -0*g - s, 0 = s - 1. Let q(d) = -d + 1. Determine g*j(f) + 4*q(f). -f**2 - f + 1 Let l(a) = -a**3 - 6*a**2 + 1. Let t(y) = y**3 - 1 + 13*y**2 - 25*y**2 + 0*y**3 + 17*y**2. Calculate -5*l(z) - 6*t(z). -z**3 + 1 Let p(y) be the second derivative of -y**3/2 - 7*y**2/2 - 2*y + 23. Let d(z) = 1. Let j(n) = -5*n**3 + n**2 - 1. Let m be j(-1). What is m*d(r) + p(r)? -3*r - 2 Let w(o) = 0 + 508*o**2 + 514*o**2 - 1024*o**2 + 2*o - 7. Let n(m) = -5*m**2 + 5*m - 15. What is 4*n(g) - 9*w(g)? -2*g**2 + 2*g + 3 Let s(y) be the first derivative of -2*y**2 + y - 1. Let w = 1742 - 1744. Let f(a) = a**2 - a - 1. What is w*f(g) + s(g)? -2*g**2 - 2*g + 3 Let n(p) = 3*p. Let o(k) = 32*k - 2. Determine -22*n(g) + 2*o(g). -2*g - 4 Let j(o) = -5 - 3*o + 32 + 4*o - 6*o. Let r(a) = a - 7. Give -2*j(u) - 9*r(u). u + 9 Let t(f) = -2*f**2 + 4*f + 8. Let v(s) = s**2 + s + 2. Determine t(w) - 3*v(w). -5*w**2 + w + 2 Let u(r) = 6*r**3 - 11*r**2 + 11*r + 11. Suppose -h + s = -s - 7, 35 = 3*h + s. Let q(n) = n**3 - 2*n**2 + 2*n + 2. Calculate h*q(l) - 2*u(l). -l**3 Let c(q) = -3*q**3 + 6*q**2 + 2*q - 12. Let o(h) = 4*h**3 - 7*h**2 - 2*h + 13. Determine -6*c(j) - 5*o(j). -2*j**3 - j**2 - 2*j + 7 Let n(m) = -2*m**3 + 58*m**2 + 7*m - 4. Let j(c) = c**2 + c - 1. Give 6*j(d) - n(d). 2*d**3 - 52*d**2 - d - 2 Let l = -139 - -137. Let c(d) = -6*d + 4. Let k(j) = -j + 1. Give l*c(m) + 10*k(m). 2*m + 2 Let o(l) = -2*l - 4. Suppose 0 = -j + 3*a + 5, -5*j + j + 2*a - 20 = 0. Let g(k) = -k - 5. Give j*o(w) + 6*g(w). 8*w - 2 Let y(g) = 7*g**2 - 5*g + 5. Let o(u) = 4*u**2 - 3*u + 3. Suppose l - 3*v = 6, 4*l + 1 = 2*v - 5. Give l*y(c) + 5*o(c). -c**2 Suppose -4*s - 148 = -124. Let b(x) = -x**2 - x + 31. Let q be b(s). Let p(o) = o + 2 + 3 - 6. Let g(l) = -12*l + 9. Determine q*g(r) + 9*p(r). -3*r Let j(o) = -11*o**2 - 4*o + 10. Let v(f) = 16*f**2 + 7*f - 15. What is 8*j(y) + 5*v(y)? -8*y**2 + 3*y + 5 Let k(g) = 133*g + 16. Let y(m) = 134*m + 21. Determine 4*k(q) - 3*y(q). 130*q + 1 Let z(a) = 9*a**2 + 4*a + 9. Let v be ((-5)/(-2))/((-3)/6). Let q(w) be the first derivative of 14*w**3/3 + 3*w**2 + 14*w - 54. Calculate v*q(k) + 8*z(k). 2*k**2 + 2*k + 2 Let c(u) = 4*u - 4*u + 0 + 3 + u. Let s(b) = 2. Suppose -3*j = -2*a + 4 + 7, 5*j - a + 16 = 0. What is j*s(m) + 2*c(m)? 2*m Let j(t) = 4*t**2 + 3*t + 16. Let w(x) = -20*x**2 - 20*x - 83. Let d(a) = -7*a**2 - 7*a - 29. Let z(h) = 17*d(h) - 6*w(h). Give 2*j(g) - 7*z(g). g**2 - g - 3 Let u(t) = -1. Let p(b) = -3. Let g(z) = 4*p(z) - 11*u(z). Let a(h) = -4*h + 12. Let q be 11/7 - (-44)/(-77). What is q*a(j) + 12*g(j)? -4*j Let u(j) = 4*j + 9. Let d(z) = -2 + 9*z + 11*z - 21*z. Let i = -32 + 22. Let k = 4 + i. Calculate k*u(q) - 26*d(q). 2*q - 2 Let y(v) = 49*v**2 - 11. Let q(n) = -26*n**2 + 6. Calculate -11*q(r) - 6*y(r). -8*r**2 Let s(n) = 37*n**3 - 6*n**2 + n + 3. Let i(u) = -19*u**3 + 3*u**2 - 1. Determine 5*i(w) + 2*s(w). -21*w**3 + 3*w**2 + 2*w + 1 Let b(q) = -q**2 - q + 1. Let h(o) = -o**3 + 6*o**2 + 4*o - 2. Let k = 0 + 4. Let t = 29 + -34. Let a be t/(-3) + 5/(15/(-2)). Calculate a*h(w) + k*b(w). -w**3 + 2*w**2 + 2 Let z(y) = -1798*y**3 - 5*y**2 + 30*y - 5. Let h(s) = -62930*s**3 - 174*s**2 + 1044*s - 174. Calculate -5*h(v) + 174*z(v). 1798*v**3 Let j(h) = -h**3. Let q(z) = 9*z**3. Let x(y) be the third derivative of -y**6/30 + y**5/60 - 21*y**2. Let k be x(-1). Calculate k*j(g) + q(g). 4*g**3 Let f(l) = 2*l - 3. Let d be (-4)/(-18) + (-86)/(-18). Let b(m) = -1 - 3*m + 0*m + 6 - 1. Give d*f(z) + 4*b(z). -2*z + 1 Let y(k) = 66*k**3 - 27*k**2 + 27. Let r(s) = 0*s**3 - 2*s**2 + 3*s**3 + 2*s**3 + 2. Let p = 73 + -46. Let m = -12426 - -12424. What is m*y(z) + p*r(z)? 3*z**3 Let z(y) = 3*y - 9. Let d(v) be the first derivative of 3*v**2/2 - 8*v - 91. Calculate -7*d(m) + 6*z(m). -3*m + 2 Let g(i) be the second derivative of 0 + 1/6*i**3 + 19*i + 1/4*i**4 - i**2. Let w(r) = -10*r**2 - 4*r + 6. Give 7*g(h) + 2*w(h). h**2 - h - 2 Let m(z) = -3*z**3 + 2*z**2 - 5. Let c(p) be the first derivative of 3*p**4/4 - 2*p**3/3 + 6*p + 51. Determine -5*c(v) - 6*m(v). 3*v**3 - 2*v**2 Let d(f) = -f**2 - 4*f. Let n(h) = -h**2 - h. Let g(i) = -d(i) + 4*n(i). Let b = -1332 + 1334. Let x(w) = w**3 + w**2 - w. What is b*x(r) + g(r)? 2*r**3 - r**2 - 2*r Let l(a) = 11*a**2 - 14*a + 3. Let d = -59 + 66. Let k(r) = -7 + 5 - 3*r - 6*r + d*r**2 + 4. What is 8*k(b) - 5*l(b)? b**2 - 2*b + 1 Let c(x) = 7*x**2 - 2*x - 3. Let s(n) = -37*n + 41*n - 3*n - 6*n**2 + 2. Calculate -3*c(o) - 4*s(o). 3*o**2 + 2*o + 1 Let c(o) = -o**3 + 6*o**2 + 2*o + 6. Let h = 98 + -59. Suppose 5*f - 2*f = -h. Let a(r)
{ "pile_set_name": "DM Mathematics" }
*-1*-3. -6*sqrt(2) Simplify (-6*sqrt(55)/sqrt(5) - sqrt(11))**2 + 1. 540 Simplify (4*sqrt(10)/sqrt(5))**2 + 3. 35 Simplify -3 + sqrt(7) + 5*sqrt(7) + -3. -6 + 6*sqrt(7) Simplify sqrt(5) + (sqrt(5) - (sqrt(45)/(sqrt(63)/sqrt(7)))**2) + (sqrt(605))**2*3. 2*sqrt(5) + 1810 Simplify (-2 + 4*(-5 + sqrt(13)*-1))**2. 176*sqrt(13) + 692 Simplify (5*(sqrt(15) - ((sqrt(15) - sqrt(45)/sqrt(3)) + sqrt(15) + sqrt(15))))/(sqrt(243) + sqrt(27)). -5*sqrt(5)/12 Simplify (2*sqrt(88)/sqrt(4))/(sqrt(275)*6). sqrt(2)/15 Simplify (((sqrt(110) + (sqrt(110) - (sqrt(110) + sqrt(110)*-1)) + sqrt(110))*-1 + sqrt(110) + sqrt(110))/sqrt(10))**2. 11 Simplify (sqrt(8) + 4)**2 + (sqrt(30)/sqrt(3))/sqrt(5). 24 + 17*sqrt(2) Simplify -4*sqrt(8)/sqrt(64). -sqrt(2) Simplify (1*sqrt(3388))/(sqrt(4) - 6*sqrt(8)/sqrt(2)). -11*sqrt(7)/5 Simplify (6*(sqrt(720) + -3))**2. -2592*sqrt(5) + 26244 Simplify (1*(5 + (-3 + sqrt(3))*-6))**2. -276*sqrt(3) + 637 Simplify (sqrt(110)/sqrt(2)*-2)/(2*sqrt(44)). -sqrt(5)/2 Simplify (sqrt(33) - 5*sqrt(528))/sqrt(11). -19*sqrt(3) Simplify (4*sqrt(110)*-2)/(sqrt(10)*-2*6). 2*sqrt(11)/3 Simplify (sqrt(104) - 1*2*sqrt(104))/(-1*sqrt(32)). sqrt(13)/2 Simplify (1*sqrt(567) + -3)**2. -54*sqrt(7) + 576 Simplify (sqrt(2057) + sqrt(2057)*-1 + (sqrt(17) - -4*sqrt(425)))**2. 7497 Simplify (((sqrt(105) - (sqrt(105)*2 + sqrt(105))) + sqrt(105))/sqrt(3))/sqrt(7). -sqrt(5) Simplify (-2*((sqrt(13) - (1 + sqrt(13))) + 2))**2. 4 Simplify 4 + (sqrt(144) - sqrt(36))/sqrt(12). sqrt(3) + 4 Simplify (5*sqrt(252)/sqrt(6))/(sqrt(96)*-3). -5*sqrt(7)/12 Simplify sqrt(175) + 2 + sqrt(70)/sqrt(40). 2 + 11*sqrt(7)/2 Simplify sqrt(228)/(-2*sqrt(12)*-3). sqrt(19)/6 Simplify (sqrt(77) + 6*5*sqrt(77) + sqrt(77))/sqrt(11). 32*sqrt(7) Simplify (-5*1*sqrt(833))**2 + (3*-2*sqrt(833))**2 + 1. 50814 Simplify (sqrt(209)/(sqrt(121)/sqrt(11)) + sqrt(684) + -5)**2. -70*sqrt(19) + 956 Simplify -6*(-2 + sqrt(242) + -1 + 2 + sqrt(242)). -132*sqrt(2) + 6 Simplify (-5*(sqrt(192)/sqrt(4) + (sqrt(363) + sqrt(363) + (sqrt(363) - (sqrt(363) + 0 - sqrt(363)) - sqrt(363)) - sqrt(363) - sqrt(363))))**2. 1200 Simplify sqrt(95)/(sqrt(30)/sqrt(6)*-5 - sqrt(5)). -sqrt(19)/6 Simplify sqrt(52)*-4*-6. 48*sqrt(13) Simplify (-4*sqrt(28)/(sqrt(36) - sqrt(4)))**2. 28 Simplify (sqrt(171) + sqrt(171)*-2 + 2)**2 + 2. -12*sqrt(19) + 177 Simplify ((1 + sqrt(128) + sqrt(2) - ((sqrt(2)*2 - sqrt(2)) + 0))*-4)**2. 256*sqrt(2) + 2064 Simplify (sqrt(19) - (-2 + sqrt(19))*4) + -5*(sqrt(19) - -2*sqrt(19))**2. -847 - 3*sqrt(19) Simplify sqrt(14)/sqrt(63) - sqrt(2) - 4*sqrt(8)/sqrt(4). -14*sqrt(2)/3 Simplify (5 + sqrt(242)*1)**2. 110*sqrt(2) + 267 Simplify ((sqrt(17) + sqrt(153)*3 - sqrt(17)*1*-5) + -5)**2. -150*sqrt(17) + 3850 Simplify (sqrt(2736) + -6*-1*sqrt(2736) + sqrt(2736) + 0 + 1 + sqrt(2736))**2. 216*sqrt(19) + 221617 Simplify (sqrt(162) + sqrt(162)*-2 + sqrt(162) + 2 + sqrt(162))**2*6. 216*sqrt(2) + 996 Simplify ((sqrt(65) + 2*sqrt(65)*-4 + sqrt(65))/(sqrt(5) + (1*sqrt(405) - sqrt(405))))**2 + 2. 470 Simplify 1 + -2*(sqrt(52)*1)**2. -103 Simplify sqrt(102)/(sqrt(1200)/sqrt(8)). sqrt(17)/5 Simplify sqrt(637) + -5*-2*sqrt(637). 77*sqrt(13) Simplify (3 + sqrt(17) + 4)**2 + (sqrt(459) + sqrt(51))/sqrt(3). 66 + 18*sqrt(17) Simplify -1*sqrt(175) - (sqrt(7) + (sqrt(7) - -4*(sqrt(35)/sqrt(5) + sqrt(7)))). -15*sqrt(7) Simplify -5 + sqrt(1872) + -1. -6 + 12*sqrt(13) Simplify 1*(1*sqrt(612))**2*-4. -2448 Simplify -3 + (sqrt(325) + 2)*-6. -30*sqrt(13) - 15 Simplify 6*(-2 + sqrt(539)*-2 + ((sqrt(539) + 0)**2 - sqrt(539))). -126*sqrt(11) + 3222 Simplify ((sqrt(432)*2 + 0)*5)**2. 43200 Simplify (5 + (-2 + sqrt(832) + sqrt(832))*1)**2. 96*sqrt(13) + 3337 Simplify sqrt(288) - (sqrt(288) + -5 + (1 + sqrt(288) + sqrt(288))**2) - (sqrt(288) + (1 + sqrt(288) - sqrt(288))*-3). -1145 - 60*sqrt(2) Simplify sqrt(18)/(sqrt(9) + 4*sqrt(9)*1). sqrt(2)/5 Simplify (sqrt(88)/sqrt(32))**2 - (4 + 1*sqrt(11))**2. -8*sqrt(11) - 97/4 Simplify (((sqrt(66) - -6*sqrt(66)) + sqrt(66))*-5)/sqrt(6). -40*sqrt(11) Simplify (sqrt(99) - -1*1*sqrt(99) - sqrt(99))/(-5*-2*sqrt(9)). sqrt(11)/10 Simplify (3*-6*(-1 + sqrt(612)))**2. -3888*sqrt(17) + 198612 Simplify sqrt(110)/(sqrt(110)/(sqrt(11)*5)). 5*sqrt(11) Simplify ((sqrt(13) - sqrt(78)/sqrt(24)) + sqrt(13))**2 - (sqrt(26)/sqrt(2) + 3 + sqrt(13)). -2*sqrt(13) + 105/4 Simplify 5 + -2 + sqrt(66)/(sqrt(486)*1 + sqrt(6) + sqrt(6) - sqrt(6)). sqrt(11)/10 + 3 Simplify -2*(sqrt(147)*1 - sqrt(147))*2. 0 Simplify sqrt(22)/(1*sqrt(2)) + sqrt(132)/(sqrt(48)/sqrt(4)). 2*sqrt(11) Simplify sqrt(3)*-3 + -2 + -2 + sqrt(3) + -1. -5 - 2*sqrt(3) Simplify (4 + (sqrt(5) - sqrt(5)*-1) + 2 + sqrt(80))**2. 72*sqrt(5) + 216 Simplify (-5 + (-4*sqrt(51)/sqrt(3) - (sqrt(17) - sqrt(68))*-1))**2. 50*sqrt(17) + 450 Simplify (3 + 1 + sqrt(19))*-3 + 5. -3*sqrt(19) - 7 Simplify (sqrt(1575) - (sqrt(1575) + 5*(1 + sqrt(1575)))**2 - sqrt(1575))*3. -170175 - 2700*sqrt(7) Simplify sqrt(6)/(sqrt(8)/sqrt(4)) - (sqrt(3) - ((sqrt(3) + 1)*-4)**2). 32*sqrt(3) + 64 Simplify sqrt(7200) + 1. 1 + 60*sqrt(2) Simplify (1*(-3 + 1 + sqrt(1872) + sqrt(1872) + 5))**2. 144*sqrt(13) + 7497 Simplify (sqrt(12) - sqrt(12)*1) + 1. 1 Simplify (sqrt(104) - -1*(sqrt(104) + sqrt(104)*2))/(1*sqrt(200)). 4*sqrt(13)/5 Simplify -3 + (2*sqrt(441))/sqrt(7). -3 + 6*sqrt(7) Simplify sqrt(12)/(sqrt(486) + sqrt(486)*-3 + sqrt(486)). -sqrt(2)/9 Simplify (-2*sqrt(132)/sqrt(4))/(sqrt(300)*-2 + sqrt(300)). sqrt(11)/5 Simplify (3 + sqrt(44) + 3 + sqrt(44) + (sqrt(11) + -3 + -3 - sqrt(11) - sqrt(11)))**2. 99 Simplify ((sqrt(570) + sqrt(570)*-1)/sqrt(10))/(sqrt(12)*-1). 0 Simplify sqrt(2) + 0 + -1 + -1*sqrt(2)*-2. -1 + 3*sqrt(2) Simplify (sqrt(36) + (sqrt(252) + -1*sqrt(252) + sqrt(252))/sqrt(7))/(-3*sqrt(12)*5). -2*sqrt(3)/15 Simplify ((sqrt(84)/sqrt(4) + sqrt(21))*4)/(-1*sqrt(1008)). -2*sqrt(3)/3 Simplify -5*(-6*(sqrt(11) - sqrt(33)/sqrt(3)) + sqrt(11)). -5*sqrt(11) Simplify 4*sqrt(10)/sqrt(2) - (-5 + sqrt(10)/sqrt(2)). 5 + 3*sqrt(5) Simplify (sqrt(68) - 2*sqrt(68)*-5)/(sqrt(32)/sqrt(128) - sqrt(4)). -44*sqrt(17)/3 Simplify -2*(-1*sqrt(72))/sqrt(4) + 4. 4 + 6*sqrt(2) Simplify sqrt(80) + 0 - (sqrt(405) + 1)**2. -406 - 14*sqrt(5) Simplify sqrt(156)/sqrt(48) + sqrt(13) + sqrt(936)/sqrt(2). 15*sqrt(13)/2 Simplify (sqrt(640)*-1)/(sqrt(200)*-2). 2*sqrt(5)/5 Simplify (2*sqrt(1152))/(sqrt(216)*1 + sqrt(216) + sqrt(6))*4. 64*sqrt(3)/13 Simplify (-3*sqrt(14)*-1)/(sqrt(24)/sqrt(300)). 15*sqrt(7) Simplify sqrt(171) + -3 + 1 + 3. 1 + 3*sqrt(19) Simplify 4*(-3*sqrt(1300))**2. 46800 Simplify (sqrt(1300) - (2 + sqrt(1300)*-1))**2. -80*sqrt(13) + 5204 Simplify -5 + sqrt(208) + 1. -4 + 4*sqrt(13) Simplify sqrt(56)/((sqrt(8) + sqrt(16)/sqrt(2))*3). sqrt(7)/6 Simplify (sqrt(162) + 0 - (0 + sqrt(242)))**2. 8 Simplify (5 + 6*(2 + sqrt(1216) - sqrt(1216)))**2. 289 Simplify sqrt(45)/(1*sqrt(144)). sqrt(5)/4 Simplify sqrt(55)/(sqrt(110)/(sqrt(10) - sqrt(10)*1 - sqrt(10))). -sqrt(5) Simplify (sqrt(18)*-2 - sqrt(14)/sqrt(63))**2. 722/9 Simplify (sqrt(7) - (1 + sqrt(63))) + sqrt(7) + (sqrt(700)*-1)**2. -sqrt(7) + 699 Simplify -3*((sqrt(224) + (sqrt(224) - -1*sqrt(224)) + sqrt(224))/sqrt(4))/(4*sqrt(8)*-2). 3*sqrt(7)/2 Simplify ((sqrt(171) - 2*sqrt(171))*-3)/sqrt(9). 3*sqrt(19) Simplify ((sqrt(1980) - (-2*sqrt(1980) + sqrt(1980)))/(((sqrt(110)/sqrt(2) - sqrt(55)) + sqrt(55))/sqrt(11)))**2. 1584 Simplify ((sqrt(95) + sqrt(95) + -1*sqrt(95))*4)/(-1*sqrt(20)). -2*sqrt(19) Simplify (sqrt(60)/sqrt(6))/sqrt(5) + -5. -5 + sqrt(2) Simplify -4*((sqrt(13)*-2)**2*-6 + 4). 1232 Simplify (sqrt(72)/(sqrt(30)/sqrt(5)))/(sqrt(294)*1 + sqrt(294)). sqrt(2)/14 Simplify (3 + (1*sqrt(180))**2 - sqrt(180) - sqrt(180))*-4. -732 + 48*sqrt(5) Simplify 3 + (sqrt(6)/sqrt(27))**2 + 1. 38/9 Simplify 1 + (sqrt(70)/(sqrt(20)/sqrt(2)))**2. 8 Simplify sqrt(396) - (sqrt(396) + 0 + sqrt(396)) - (sqrt(55)*2)/sqrt(5). -8*sqrt(11) Simplify (sqrt(38) - sqrt(4598)*2)/((sqrt(14) + sqrt(14)*2)/sqrt(7)). -7*sqrt(19) Simplify (-3 + sqrt(80))*3. -9 + 12*sqrt(5) Simplify (sqrt(11)*1*-3 - (sqrt(275) - (0 + sqrt(275))))**2. 99 Simplify (sqrt(405)*1 + sqrt(405) - (-5 + (sqrt(5) - (sqrt(5) + 1))))**2. 216*sqrt(5) + 1656 Simplify ((4*sqrt(308))/sqrt(11))/(sqrt(36)*-4). -sqrt(7)/3 Simplify (0 + -1*(sqrt(567)*3 + sqrt(567) + sqrt(567)) + sqrt(567))**2. 9072 Simplify ((2 + s
{ "pile_set_name": "DM Mathematics" }
= -4*d - 1. Is g <= 20? True Let h(v) = 3*v. Let y(n) = n. Let g(l) = 2*h(l) - 7*y(l). Let o be g(-1). Is 2/9 not equal to o? True Let q = -13 - -7. Is q smaller than -5? True Suppose 2*w + h = 2*h - 17, -5*h = 4*w + 55. Let c = -10 - w. Suppose 3*u = -5*j + 23, -4*u + 4*j - 19 = -7*u. Which is bigger: u or c? u Let r = -5.1 + 0.1. Let j = -5.2 - r. Is j >= 2/3? False Suppose 5*z + 21 = 1. Suppose -3*i - 40 = 2*i. Let w = i + 5. Is w bigger than z? True Let b(s) = -s**3 - 2*s**2 - s - 1. Let p be b(-2). Suppose 2*c - p = -2*m - 7, -3*c - 13 = 5*m. Let w = -10 + 9. Which is smaller: m or w? m Let c(l) = l**2 - 7*l - 2. Let u be (-4)/14 + (-153)/(-21). Let n be c(u). Suppose 3*i + 8 = -i. Does n = i? True Let d = 1153/5 + -232. Which is smaller: 0 or d? d Suppose -q = -u + 1, 5*u + 18 = -2*q - 12. Which is greater: -4 or q? -4 Suppose -k + 4*k = 9. Let z = 389/3 - 127. Is k < z? False Suppose -6 = -5*q - 16, 4*s = -4*q - 80. Let f be s/(-44)*2 + -1. Is f >= 0? False Let w be 0 + 5/(-3) + -2. Let n = -35/9 - w. Is n bigger than 1? False Let r be ((-12)/(-20))/(2/(-30)). Is -25/3 != r? True Suppose -2*s + 98 = 3*o, 2*o - 132 = -2*o - 3*s. Suppose 5*t + 4 - o = -f, -9 = f - 2*t. Let k = -1 - 0. Which is smaller: k or f? k Let n be 0 - ((-1)/(-1) - -1). Let o = n + 4. Suppose o = -0*q - 2*q. Is q smaller than 1/5? True Suppose -3*s - 4 = -2*s. Let k be 96/90 + s/6. Let j be (-4)/14 - 4/(-14). Which is smaller: j or k? j Let t(c) = c - 3. Let o be t(2). Is o smaller than 1/20? True Suppose o + 2 = -0*o. Let g be ((-1)/o)/(1/4). Which is smaller: 2/3 or g? 2/3 Let c = 5 - 11. Let h be ((-2)/6)/(2/c). Is -0.07 smaller than h? True Let o = 29/3 + -10. Which is smaller: 8 or o? o Let q be 5/45*12*(-3)/2. Let h = -52 - -360/7. Is h < q? False Let t = 23/30 - 1/10. Which is smaller: 2 or t? t Let v be (-3)/5 - 6/15. Let x be (-90 + (2 - 1))*-2. Let m = x + -3380/19. Does v = m? False Suppose 1 = j - 0. Let w(v) = 7*v. Let u be w(j). Suppose -u*g + 3*g = 0. Which is bigger: -3/4 or g? g Let b = 21.8 - 3.8. Let z = -18.5 + b. Is z bigger than 1? False Let f(i) be the first derivative of i**2/2 - i - 6. Let j be f(2). Let w be 3/(-14*3/4). Is j greater than w? True Let x = 20 + -5. Let u = -27 + x. Is -1 less than or equal to u? False Let h = -43/30 - -3/5. Suppose 2*b - 42 = -2*b + 2*r, -3*b - r + 39 = 0. Suppose -4*w + m - 2 = -2*m, -b = 2*w + 4*m. Which is bigger: w or h? h Let p = 9 - 4. Let b = 0.19 - 5.09. Let h = b + p. Is h greater than -0.2? True Let w = -507/5 + 101. Let t(o) be the first derivative of o**4/4 + 3*o**3 + 7*o**2/2 - 7*o - 3. Let c be t(-8). Is w greater than c? False Let s = 0.072 - 0.232. Which is bigger: 1/3 or s? 1/3 Let q = -26.047 + 0.047. Let j = q + 17. Let y = -10 - j. Is y not equal to 1/4? True Suppose -2 = -4*u + 14. Suppose -u*g + 9 = -7. Suppose -4 = j - f, -5*j = g*f - 21 + 5. Is 4/3 <= j? False Suppose 0*g = 2*g - 16. Suppose 4*z + 0 = g. Let a be (-13)/(-14) + (-1)/z. Does -1 = a? False Let q(n) = 4*n - 1. Let y be q(1). Suppose a - 12 = -3*a. Suppose a*r + 0*r - 20 = -4*g, 0 = y*r - 3*g + 15. Which is greater: r or 3/5? 3/5 Let f be (-5)/(-3)*(-9)/24. Let m be (1 - (2 + -1))*(1 + -2). Is m bigger than f? True Let c = -10 - -11. Suppose -20 = 2*u + 3*u. Let v be c - (-2 + u/(-2)). Are v and 1/5 unequal? True Suppose 2*i - 4*w = -10, -1 - 3 = -2*w. Suppose -5*k + 8 = -k, 0 = 4*t - 5*k + 22. Which is smaller: t or i? t Let u = 3 + -1. Suppose -4 = u*h + 2*h. Is h less than -2? False Let b = -119/3 - -40. Let n(f) = -f**3 - 8*f**2 + 9*f - 1. Let z be n(-9). Which is bigger: z or b? b Suppose -4*q - 12 = -a - 9*q, -10 = -a - 4*q. Let m be a + 1/(6/(-15)). Is m >= 0? False Suppose 6 = -20*k + 18*k. Which is smaller: -5 or k? -5 Let t(j) be the third derivative of -j**6/120 - j**5/6 - 5*j**4/12 - 3*j**3/2 - 5*j**2. Let h be t(-9). Let n = 0 + 0. Do h and n have the same value? True Let z = -0.8 - -1.8. Let o be (-1)/(-3) - (-8)/(-6). Let r be o/4*16/(-6). Do z and r have the same value? False Let o = -0.06 - -0.15. Let q = 0.11 + o. Which is smaller: -0.05 or q? -0.05 Let o = -49 + 49. Which is bigger: o or -2.2? o Let t = 12.28 - -0.72. Which is greater: t or 0? t Let h = 13.13 - -0.57. Let i = h - 7. Let k = i - 7. Which is smaller: -1 or k? -1 Let q(u) = u**3 + u**2 + 11. Let w be q(-3). Let o(c) be the first derivative of -c**4/4 + 2*c**3 - c**2/2 - c + 2. Let j be o(6). Is w at least as big as j? True Let u be (2/((-8)/(-10)))/((-45)/90). Are -4 and u unequal? True Suppose 3 = 5*j - 2. Which is smaller: -1/6 or j? -1/6 Let w = 4.53 + -0.59. Let x = w + 0.06. Let z be 2*-1 + (0 - -1). Is x equal to z? False Let c = -0.7 - -1.72. Let g = c + -0.02. Let x = -2 - -3. Do g and x have the same value? True Let i = 17 + -43. Is 2/7 at least as big as i? True Let m = 3093/11 - 281. Suppose 3*d - 4 = -1. Is d less than m? False Suppose 0 = 3*g - 5*c - 19, -4*g + 39 - 8 = -c. Which is smaller: 7 or g? 7 Suppose -y + 3*l - 1 = 2, 0 = 3*l. Let k(q) = q**3 + 2*q**2 - 4*q - 2. Let a be k(y). Let m be ((-21)/(-12))/a - 2. Is m at least as big as 1? False Let w = -245/3 + 81. Which is greater: 1.4 or w? 1.4 Let o = 36 - 35.8. Is -10 bigger than o? False Let x(t) = t + 21. Let g be x(-11). Is g equal to 10? True Suppose 3*f + 7 = -50. Which is smaller: f or -20? -20 Suppose -b - 2*b = -x - 13, 50 = 5*b + 4*x. Suppose -3*w + 2*g + b = 0, -3*g - 2*g = 3*w - 6. Let z = -23 + 47/2. Is w != z? True Let m = -19/33 + -1/11. Which is smaller: m or -4? -4 Let w = 671/139 + -90171/25993. Let u = -20/17 + w. Which is smaller: u or -1? -1 Suppose -2*t - 4*b + 6 = 0, -4*t = t - 4*b - 1. Let k be ((-3)/6)/(t/6). Let c = 0 + 0. Which is smaller: k or c? k Let b = 415 - 413.13. Let t = -0.13 - b. Is -4 > t? False Let o(y) = y**3 + y**2 + y - 1. Let i be o(1). Suppose 4*h - u = 13, 5*h - 4*u - 20 = -2*u. Is h smaller than i? False Let t be (2 + 0)*1/2. Suppose 2*j + 4 = -2*c, 5*j + t = -4*c - 8. Let o = -187/5 + 37. Is o greater than j? True Suppose -b = -6*s + s - 68, -s + 2*b - 10 = 0. Suppose 4*i = 7*i + 39. Which is greater: s or i? i Suppose p - 3 = -1. Is p < -0.1? False Suppose 0 = 5*b - 5*f + 4 + 1, -2*b = f - 4. Are 1/9 and b unequal? True Let f = 0.72 - 5.82. Let a = 5 + f. Let u = 1 + -2. Do u and a have different values? True Let b be ((-1)/(-10)*8)/(6/115). Is 16 bigger than b? True Let h be (-28)/(-36) + (-4)/(-18). Let p(y) be the third derivative of y**4/24 - 2*y**3/3 + y**2. Let i be p(3). Which is smaller: i or h? i Let r(d) = 2*d**2 + 28*d + 1. Let g be r(-14). Which is smaller: g or 2? g Let n = -0.01 - -3.01. Let h = n + -2. Is -0.2 bigger than h? False Let r be (46/204 + -2)/3. Let s = r + 5/34. Let i be (60/14 - 2) + -2. Is i at least as big as s? True Let v be -2 + (-179)/(-70) + -1. Let q = -2/35 + v. Are 2/7 and q equal? False Let w(d) = -d - 3. Let p be w(-7). Suppose -4 - p = -2*c. Which is bigger: c or 1? c Let l = 0.1 - -13.9. Let b = l - 10. Which is smaller: b or -2? -2 Suppose -y + 2*n = -11, 3*y - 2*n = y + 12. Let g be 1/7*(-222)/(-118). Let x = 1/59 + g. Is y greater than x? True Suppose 2*p = 5*j - 3*p, 2*j - 4*p - 6 = 0. Let x be (2/9)/(8/12)*-9. Is x >= j? True Suppose 5*w - 54 = 3*i, -w + 0*w + 12 = -i. Let y = 9 - w. Is 2 != y? True Let m be (-7)/9*6/3. Which is smaller: -1 or m? m Let l = 4 - -4. Let w = 11 - l. Let q(y) = y. Let p be q(4). Which is greater: w or p? p Let r be (-1)/3 + (-6)/9. Let j = -14.2 + 14. Is r greater than j? False Let g = -2184777347/21918734191 - 2/6444791. Let k be ((-1)/1)/((-179)/(-1)). Let v = g + k. Is -1 <= v? True Let t be 6/(-16) - 7/(52 + 4). Which is bigger: -2 or t? t Suppose q - 7 = -0. Let i = 34 - 28. Is q bigger than i? True Suppose -4*f - 5*v + 16 = -2*f, 7 = -f + 5*v. Suppose -p = i + 4, -f*i + 0*i = 0. Is -26/5 at most as big as p? True Suppose 0 = 5*o + 84 + 16. Do o and -19 have different values? True Let s be (1 - (0 - 0)) + 44. Let f be ((-16)/(-10))/(9/s). Let i = f - 5. Which is bigger: 4 or i? 4 Suppose -2*c = -2*g + 30 - 8, -3*g + 22 = -2*c. Let s = c - -12. Is s <= 1/3? False Let n(t) = 5*t**2 + t - 3. Let z(l) = l**2 + 1. Let d(h) = -n(h) - 2*z(h). Let u be d(1). Is -6 at least as big as u? True Let v be (-8)/(-44)*10/(-4). Is v at most -1? False Let b(
{ "pile_set_name": "DM Mathematics" }
p(s). Factor o(z). 4*z*(z - 3) Let w(t) = -t**2 + 57*t + 102. Let i(y) = 43 + 47*y**2 + 161 - 48*y**2 + 114*y. Let j(q) = -4*i(q) + 7*w(q). Factor j(a). -3*(a + 2)*(a + 17) Suppose -5*i = -i + 12, 0 = 3*p - 4*i - 21. Factor -13*c**p + 41*c**3 + 160 + 960*c - 8*c**3 + 27*c**2 + 423*c**2 + 35*c**3. 5*(c + 4)**2*(11*c + 2) Let g(i) be the first derivative of i**7/385 + 7*i**6/220 + 6*i**5/55 - 17*i**2 - 125. Let d(c) be the second derivative of g(c). Factor d(h). 6*h**2*(h + 3)*(h + 4)/11 Let x be -22 + (-150)/(-3)*21/42. Factor -2/7*z**2 + 2/7 - 2/7*z**x + 2/7*z. -2*(z - 1)*(z + 1)**2/7 Let q be (970/6 - 3) + (36 - (-2208)/(-64)). Factor 31/3*r - 1/6*r**2 - q. -(r - 31)**2/6 Let o = 1590 + -1585. Let d(l) = -54 + 94*l - 82 + 12*l**3 + 106*l - 92*l**2. Let y(z) = 8*z**3 - 61*z**2 + 133*z - 91. Let b(s) = o*d(s) - 8*y(s). Factor b(n). -4*(n - 3)*(n - 2)**2 Let k = -22 - -117/5. Let b = 11/5 - k. Factor 0*u**2 + 0 + 0*u + b*u**4 - 4/5*u**5 + 8/5*u**3. -4*u**3*(u - 2)*(u + 1)/5 Let l = 975 - 958. Let v(d) be the first derivative of -2/15*d - 2/15*d**4 - l - 4/45*d**3 + 4/15*d**2 + 2/25*d**5. Suppose v(r) = 0. Calculate r. -1, 1/3, 1 Factor 0*u + 0 + 368/7*u**2 - 12*u**3 - 2/7*u**4. -2*u**2*(u - 4)*(u + 46)/7 Determine x so that 0*x - 200/7*x**3 + 0 + 0*x**2 - 4/7*x**4 = 0. -50, 0 Suppose -400/3 - 10/3*m + 269/3*m**2 + 1/3*m**5 + 121/3*m**3 + 19/3*m**4 = 0. Calculate m. -8, -5, -2, 1 Let p(s) be the first derivative of 70/9*s**3 + 1/6*s**4 - 122 - 12*s**2 + 0*s. Determine g so that p(g) = 0. -36, 0, 1 Let b = 16509 + -16505. Let n(o) be the third derivative of 0 + 0*o**5 - 1/40*o**6 + 36*o**2 + 0*o**3 + 1/2*o**b + 0*o. Find v, given that n(v) = 0. -2, 0, 2 Let p = 94690/172953 - 32/15723. Find j, given that p*j - 2/11*j**2 - 4/11 = 0. 1, 2 Let v(o) = o**3 + o**2 + 12*o + 57. Let y be v(-3). Suppose -18*b + 12 = y*a - 16*b, -5*a = 5*b - 25. What is i in -18/7*i**a - 3/7*i**3 + 0 - 27/7*i = 0? -3, 0 Let l be (6/16 + -1)*1332/(-84915). Let b(i) be the third derivative of -23*i**2 + 1/510*i**5 + 0 + l*i**4 + 0*i + 1/51*i**3. Find k such that b(k) = 0. -1 Solve 508/9*l**2 - 514/9*l**3 + 16 + 46/9*l**5 - 88/9*l**4 + 568/3*l = 0. -2, -2/23, 3 Let i(m) be the second derivative of -13/80*m**5 + 0*m**2 + 0 + 21*m + 1/24*m**6 + 0*m**3 - 1/8*m**4. Factor i(c). c**2*(c - 3)*(5*c + 2)/4 Let l be 7 - ((325/(-105) - -3) + (-2924)/(-714)). Suppose 16*r - 102/7*r**2 + 2*r**l - 24/7 = 0. What is r? 2/7, 1, 6 Let k be (-4)/10 + 348/70. Let z be 55440/224224 - 2/(-52). Solve 48/7*d + 2/7*d**4 + k + z*d**2 - 12/7*d**3 = 0. -1, 4 Suppose 2*u + 1553 = -2*k - 3*u, 0 = -4*k + 2*u - 3118. Let f be 9/(-21) + k/(-1197). Suppose -f - 8/9*x - 8/9*x**3 - 2/9*x**4 - 4/3*x**2 = 0. Calculate x. -1 Let k(y) = 4*y**2 - 664*y + 2136. Let o(q) = -8*q - 6. Let d(x) = k(x) + 6*o(x). Determine a so that d(a) = 0. 3, 175 Let m(b) be the first derivative of b**5/10 + 21*b**4/8 + 29*b**3/2 + 115*b**2/4 + 24*b + 5113. Determine h, given that m(h) = 0. -16, -3, -1 Factor -396 - 393/2*d**2 + 1/2*d**3 - 593*d. (d - 396)*(d + 1)*(d + 2)/2 Let h = 123771/82490 + -18/41245. Factor 4*g + 3*g**2 - 1/2*g**4 + 0 - h*g**3. -g*(g - 2)*(g + 1)*(g + 4)/2 Let u(s) be the second derivative of -1/3*s**3 + 0*s**2 + 0 - 31*s + 1/10*s**5 + 1/30*s**4 - 1/75*s**6. Factor u(o). -2*o*(o - 5)*(o - 1)*(o + 1)/5 Suppose 39*q - 24 = 31*q. Find r, given that -7 + 4*r + 278*r**2 - 1 - 270*r**2 - 4*r**q = 0. -1, 1, 2 Let i(u) be the first derivative of 45*u**4/4 - 65*u**3/3 - 35*u**2 + 40*u + 3208. Solve i(f) = 0 for f. -1, 4/9, 2 Let h(x) be the third derivative of -x**5/270 + 11*x**4/12 + 520*x**3/27 - 54*x**2 + 9*x - 1. Determine o, given that h(o) = 0. -5, 104 Suppose 60 + 237 = 33*m. Suppose 7*p - m*p - 4 = 3*q, 0 = -5*p - 10. Find n, given that 0*n**2 + 4/7*n**4 + q*n + 0 + 16/7*n**3 = 0. -4, 0 Let m(j) = -9*j**2 + 23*j + 4. Let g(q) = -5*q**2 + 13*q + 2. Let h = 192 + -196. Let v(y) = h*m(y) + 7*g(y). What is i in v(i) = 0? -1, 2 Let r(z) be the first derivative of -z**3/3 + 13*z**2/2 + 51*z - 49. Let t be r(16). Factor -w**2 + w**3 + 26*w - 10*w**2 - w**5 - 4 + t*w**4 - 14*w. -(w - 2)*(w - 1)**3*(w + 2) Let o(f) be the second derivative of -f**6/6 - 9*f**5/2 - 50*f**4 - 880*f**3/3 - 960*f**2 + 14*f - 137. Let o(a) = 0. Calculate a. -6, -4 Factor -335*m**2 - 15*m + 13*m + m**3 + 24 + 330*m**2. (m - 4)*(m - 3)*(m + 2) Let c(b) = b**3 + 9*b**2 - 24*b + 21. Suppose 12 = -3*q - 21. Let j be c(q). Factor 30 + 12*s**2 + 24*s**2 - 90*s**3 + 169*s**2 + 228*s - j*s. -5*(s - 3)*(2*s + 1)*(9*s + 2) Factor 0 + 43/4*b**3 + b**4 - 179/4*b**2 + 21/2*b. b*(b - 3)*(b + 14)*(4*b - 1)/4 Let a(p) be the first derivative of -5*p**3/3 - 160*p**2 - 4715*p - 1830. Factor a(n). -5*(n + 23)*(n + 41) Let o(u) = u + 10. Let z be o(-9). Let -t**2 + 3 + 5*t + 6*t - z + 10 = 0. What is t? -1, 12 Let g be -2*(63/14 - 12/2). Factor -71*v + 51*v + 32 - 5*v**2 + 36*v - 3*v**2 + 0*v**2 - 4*v**g. -4*(v - 2)*(v + 2)**2 Determine g so that -1028/9*g + 2/9*g**2 + 1022/3 = 0. 3, 511 Solve -78*a - 156*a**4 - 428*a**3 + 20*a**3 + 4518 - 4518 + 174*a - 272*a**2 - 16*a**5 = 0. -6, -2, 0, 1/4 Let a(m) be the first derivative of m**5/6 + 17*m**4/24 + m**3/18 - 17*m**2/12 - m - 396. Determine b, given that a(b) = 0. -3, -1, -2/5, 1 Factor -4/3*x**2 - 3604/3*x - 1200. -4*(x + 1)*(x + 900)/3 Let t(b) be the second derivative of -b**7/10080 - 11*b**6/360 - 121*b**5/30 + 5*b**4/4 - b**3/3 - 45*b. Let w(r) be the third derivative of t(r). Factor w(a). -(a + 44)**2/4 Let i = -512811/2 - -256406. Factor 5/2*v - i*v**3 + 0 - 2*v**2. -v*(v - 1)*(v + 5)/2 Let v(j) be the third derivative of 0*j + 8 + 1/780*j**6 + 11/390*j**5 + 4*j**2 - 1/13*j**4 + 0*j**3. Suppose v(r) = 0. Calculate r. -12, 0, 1 Let z = 345 + -343. Suppose -8*x**5 - z*x - 18 - 18*x**3 - 8*x**5 + 52*x**2 + 11*x**3 - 40*x**4 + 5*x + 14*x**3 = 0. Calculate x. -2, -1, 3/4 Let v(f) = -f**2 + 9*f + 72. Let q be v(14). Determine a so that -10*a**3 - 5*a**2 + 0*a**q + 12*a - 7*a = 0. -1, 0, 1/2 Let c(l) be the third derivative of l**8/2688 + 59*l**7/336 + 9603*l**6/320 + 303831*l**5/160 - 323433*l**4/32 + 1472*l**2. Determine i so that c(i) = 0. -99, 0, 2 Suppose -114/7*w + 1/7*w**2 - 351/7 = 0. Calculate w. -3, 117 Let n(w) = w**3 - 13*w**2 + 11*w + 12. Let u be n(12). Suppose -p = -u*p - 6. Find g such that 13 - 40 + 2 - 10*g + p*g**2 - 7*g**2 = 0. -5 Let s = 722 + -688. Suppose 4*z - s + 18 = 0. Factor 2/5*v**z - 4/5*v**3 + 0 + 0*v**2 + 0*v + 2/5*v**5. 2*v**3*(v - 1)*(v + 2)/5 Let b(l) be the first derivative of -2*l**3/9 + 34*l**2 + 416*l/3 - 379. Factor b(f). -2*(f - 104)*(f + 2)/3 Let i = -73 - -75. Suppose n - 9 = -2*s, 4*n + 4*s = i*s + 60. Factor 2*o**2 + 14*o + n*o - 14*o + 98 + 11*o. 2*(o + 7)**2 Let z(x) = -17*x**4 + 276*x**3 + 278*x**2 - 300*x - 301. Let l(m) = -2*m**4 - m**3 - m**2 - 2*m - 2. Let g(p) = 24*l(p) - 3*z(p). Factor g(r). 3*(r - 285)*(r - 1)*(r + 1)**2 Let c(i) be the third derivative of 1/120*i**5 + 0*i**3 - 1 - 97*i**2 + 31/48*i**4 + 0*i. Factor c(t). t*(t + 31)/2 Let h(x) be the first derivative of x**4/14 - 10*x**3/21 - 521*x**2/7 + 150*x + 6323. Determine w, given that h(w) = 0. -21, 1, 25 Let x(z) be the third derivative of -13/6*z**3 + 1/360*z**6 + 0 + 1/30*z**5 + 0*z - 4*z**2 + 1/6*z**4. Let f(v) be the first derivative of x(v). Factor f(d). (d + 2)**2 Let f be (-150)/(-4) + 30/(-12) + 2. What is i in i**4 - f*i**3 + 2 + 23*i**3 - 5 + 18*i**3 - 4*i + 2*i**2 = 0? -3, -1, 1 What is d in -4*d**4 - 4/7*d**5 + 0 + 108/7*d**2 - 4/7*d**3 - 72/7*d = 0? -6, -3, 0, 1 Let r(k) = -2*k**2 + 3*k - 31. Let h be r(3). Let m be (-171)/(-56) - 5*3/h. Find j such that -m*j**2 - 8*j**3 + 0*j + 0 + 10/7*j**4 = 0. -2/5, 0, 6 Suppose -5*b - h + 32 = h, 16 = 4*b + 4*h. Factor -38 - 3*w**2 - 9*w + 12*w + b + 30*w. -3*(w - 10)*(w - 1) Factor -574/3*y - 2/3*y**3 + 380/3 + 196/3*y**2. -2*(y - 95)*(y - 2)*(y - 1)/3 Let y(t) = t**2 + t. Let q be y(-3). Suppose -q*u + 22 = 4. Determine m, given that 9*m**2 - 5*m**u - 12*m + 3*m**3 + 3*m**2 - m**3 = 0. 0, 2 Suppose -5*v - 2*x = -47, 4 - 11 = -v - x. Find h, given that 8*h**4 - 17*h**2 - 18*h**2 - v*h**2 - 48*h + 4*h**5 + 17*h**2 - 28*h**3 - 51*h**2 = 0. -2, -1, 0, 3 Let l = 6 + -4. Suppose 155*g - 164*g + 45 = 0. Determine p so that -24*p**4 + 128/5 + 448/5*p
{ "pile_set_name": "DM Mathematics" }
t are the prime factors of 282188160? 2, 3, 5, 48991 What are the prime factors of 624882170? 2, 5, 11, 23, 61, 4049 What are the prime factors of 2642997674? 2, 4129, 320053 List the prime factors of 212696239. 7, 31, 37, 59, 449 What are the prime factors of 1405929681? 3, 13, 19, 632447 List the prime factors of 836837428. 2, 7, 23, 1299437 List the prime factors of 41954604. 2, 3, 3496217 List the prime factors of 6245622. 2, 3, 59, 5881 List the prime factors of 2080707198. 2, 3, 346784533 What are the prime factors of 89534971? 17, 751, 7013 List the prime factors of 2165317427. 7, 13, 61, 390077 List the prime factors of 313953211. 11, 13, 113, 19429 List the prime factors of 310374149. 227, 409, 3343 What are the prime factors of 212927445? 3, 5, 23, 409, 503 List the prime factors of 10543919. 89, 118471 What are the prime factors of 79116599? 79116599 What are the prime factors of 451637418? 2, 3, 75272903 List the prime factors of 3797278107. 3, 7, 180822767 List the prime factors of 242304969. 3, 307, 263089 What are the prime factors of 488175909? 3, 13, 347, 36073 What are the prime factors of 783585871? 23789, 32939 List the prime factors of 43274613. 3, 3677, 3923 What are the prime factors of 1110896451? 3, 7, 1959253 List the prime factors of 1701744504. 2, 3, 31, 2287291 List the prime factors of 1023122901. 3, 337, 661, 1531 List the prime factors of 102143263. 102143263 List the prime factors of 891653632. 2, 1741511 What are the prime factors of 80830953? 3, 7, 142559 What are the prime factors of 1252248407? 17, 367, 200713 What are the prime factors of 6280249818? 2, 3, 421, 2486243 What are the prime factors of 1665382651? 31, 53722021 What are the prime factors of 71164053? 3, 7907117 What are the prime factors of 373212549? 3, 13822687 What are the prime factors of 39890900? 2, 5, 7, 1163 What are the prime factors of 147607343? 13, 103, 110237 List the prime factors of 148956015. 3, 5, 13, 461, 1657 What are the prime factors of 1548576139? 11, 31, 1013, 4483 What are the prime factors of 11130001? 11130001 List the prime factors of 3411590079. 3, 269, 593, 7129 List the prime factors of 5621711. 577, 9743 List the prime factors of 215992804. 2, 53998201 List the prime factors of 5132593147. 11, 241, 1936097 List the prime factors of 4573244212. 2, 587, 1947719 What are the prime factors of 84742822? 2, 42371411 List the prime factors of 1121005563. 3, 373668521 What are the prime factors of 2537503235? 5, 507500647 List the prime factors of 1199214390. 2, 3, 5, 11, 3633983 What are the prime factors of 466337414? 2, 157, 1163, 1277 What are the prime factors of 166563304? 2, 20820413 List the prime factors of 1143202997. 29, 39420793 List the prime factors of 494860266. 2, 3, 79, 12889 What are the prime factors of 730698633? 3, 7, 89, 18617 What are the prime factors of 1526266423? 11, 997, 139169 What are the prime factors of 82628590? 2, 5, 11, 53, 14173 What are the prime factors of 2452623611? 317, 383, 20201 What are the prime factors of 978970555? 5, 195794111 What are the prime factors of 742798364? 2, 7, 11, 293, 8231 What are the prime factors of 630269441? 17, 29, 1278437 List the prime factors of 28826190. 2, 3, 5, 320291 List the prime factors of 415286491. 719, 577589 What are the prime factors of 2939333? 47, 62539 List the prime factors of 6678637912. 2, 181, 4612319 What are the prime factors of 1013715871? 7, 239, 86561 List the prime factors of 2474727851. 79, 31325669 What are the prime factors of 2816523973? 131, 1109, 19387 List the prime factors of 147842835. 3, 5, 7, 1408027 What are the prime factors of 4429873204? 2, 1107468301 List the prime factors of 1565694116. 2, 7, 577, 96911 What are the prime factors of 568893274? 2, 284446637 List the prime factors of 505979611. 19463, 25997 List the prime factors of 499226607. 3, 11, 17, 37, 8017 List the prime factors of 723196207. 97, 7455631 What are the prime factors of 927153646? 2, 463576823 What are the prime factors of 909841276? 2, 227460319 List the prime factors of 34710133. 211, 164503 List the prime factors of 45208740. 2, 3, 5, 401, 1879 What are the prime factors of 1805037590? 2, 5, 180503759 What are the prime factors of 841942056? 2, 3, 35080919 What are the prime factors of 5239871880? 2, 3, 5, 137, 139, 2293 What are the prime factors of 55342908? 2, 3, 883, 1741 List the prime factors of 19452732. 2, 3, 13, 19, 6563 What are the prime factors of 1182305683? 13, 31, 43, 68227 What are the prime factors of 204073785? 3, 5, 4534973 What are the prime factors of 392907733? 31, 47, 8699 List the prime factors of 106161052. 2, 26540263 List the prime factors of 73248640. 2, 5, 114451 What are the prime factors of 5740817219? 5740817219 What are the prime factors of 98144930? 2, 5, 13, 47, 16063 List the prime factors of 74186165. 5, 19, 269, 2903 List the prime factors of 509263482. 2, 3, 7, 13, 229, 4073 List the prime factors of 94509161. 94509161 What are the prime factors of 86701677? 3, 29, 996571 What are the prime factors of 58202693? 43, 1353551 What are the prime factors of 3567674086? 2, 1783837043 What are the prime factors of 352804636? 2, 23, 3834833 List the prime factors of 624766317. 3, 7, 4250111 What are the prime factors of 146051539? 17, 1103, 7789 List the prime factors of 2371785582. 2, 3, 395297597 List the prime factors of 5146197609. 3, 7, 35008147 List the prime factors of 4344016791. 3, 317, 4567841 List the prime factors of 1938793789. 1938793789 List the prime factors of 109820186. 2, 7, 151, 51949 List the prime factors of 539560964. 2, 134890241 What are the prime factors of 542287365? 3, 5, 36152491 What are the prime factors of 10993937? 10993937 List the prime factors of 1224539497. 41, 29866817 What are the prime factors of 23469032? 2, 2933629 What are the prime factors of 357763148? 2, 1009, 88643 List the prime factors of 5831123217. 3, 1943707739 What are the prime factors of 406127846? 2, 47, 4320509 List the prime factors of 296743439. 31, 9572369 List the prime factors of 1520523744. 2, 3, 23, 79, 379 What are the prime factors of 820425004? 2, 7, 29300893 List the prime factors of 31966630. 2, 5, 17, 43, 4373 What are the prime factors of 776709444? 2, 3, 7, 137, 67493 What are the prime factors of 956964630? 2, 3, 5, 31898821 List the prime factors of 70069689. 3, 7785521 List the prime factors of 256355259. 3, 85451753 What are the prime factors of 3711535269? 3, 13, 103, 199, 4643 List the prime factors of 1207971178. 2, 23, 1723, 15241 What are the prime factors of 1181002508? 2, 7, 860789 List the prime factors of 625098134. 2, 331, 944257 List the prime factors of 497092258. 2, 13, 19118933 What are the prime factors of 25901901? 3, 29, 99241 What are the prime factors of 6816926? 2, 241, 14143 List the prime factors of 582353769. 3, 10531, 18433 What are the prime factors of 1646188026? 2, 3, 7, 229, 499 What are the prime factors of 6802093165? 5, 7, 194345519 What are the prime factors of 463959782? 2, 11, 13, 449, 3613 What are the prime factors of 122707039? 7, 13, 113, 11933 What are the prime factors of 1621498008? 2, 3, 13, 43, 120863 List the prime factors of 8431285. 5, 1686257 List the prime factors of 2649728981. 8291, 319591 List the prime factors of 898996001. 19, 31, 1091, 1399 What are the prime factors of 44182369? 7, 11, 81971 List the prime factors of 1091134900. 2, 5, 31, 523, 673 List the prime factors of 27072027. 3, 83, 36241 What are the prime factors of 145340305? 5, 11, 59, 44789 List the prime factors of 2669879226. 2, 3, 7, 37, 1718069 What are the prime factors of 3205084102? 2, 11, 6571, 22171 What are the prime factors of 511513665? 3, 5, 13, 2623147 List the prime factors of 88704714. 2, 3, 7, 2112017 List the prime factors of 819892258. 2, 1327, 308927 List the prime factors of 2558185586. 2, 11, 7927, 14669 What are the prime factors of 1692357224? 2, 211544653 What are the prime factors of 322255627? 29, 11112263 What are the prime factors of 714989834? 2, 13, 27499609 What are the prime factors of 939606219? 3, 1153, 90547 List the prime factors of 450123. 3, 150041 List the prime factors of 199435267. 19, 107, 263, 373 List the prime factors
{ "pile_set_name": "DM Mathematics" }
e -6*x - 6*a - 4*a = 620, -202 = -82541*x + 82546*x - 3*a + 6*a for x. -5 Solve -s - 230 = 3*r - 182, 0 = 2*r - 5*s - 172 for r. -4 Solve -8*f - 2720 = -4*k - 2628, 2*f - 35*k = -533 for f. -4 Solve -10 = -3*b + 15*m - 31, -21 = -5*b + 9*b + 2*m + 51 for b. -17 Solve -t - 2*r - r - 2768 + 2761 = 0, 62 = -6*t + 2*r for t. -10 Solve -65*z - 25 = -0*c - 4*c, 10 + 12 = 1236*c - 1238*c - 3*z + z for c. -10 Solve 2*p - 8*o - 2 = 10, 96*o - 4 = 92*o for p. 10 Solve 359 = 3*o + 83*u + 12*u, 4*o - 2*o + 18 = u for o. -7 Solve 5*v - 487*r + 165*r + 160*r = -156*r + 79, 65 = 4*v - 3*r for v. 17 Solve 5*v + 7*v - 178*s - 7*s - 735 = 10*v - 3*v, -15 = -v + 4*s for v. -1 Solve 25561*m - 22*w + 88 = 25562*m, m - 3*w + 12 = 0 for m. 0 Solve -40 - 10 = -5*w - 5*b, 317811 = 2*w + b + 317796 for w. 5 Solve -a - a - 49 = 5*b - 16, 7*b + 48*b = -a + 36 for a. -19 Solve 470*g = 4*t + 469*g + 24, -3*g + 57 = -9*t for t. -5 Solve -5*h + 10*h - 8*h = 41*m + 88, -10 = 5*h for m. -2 Solve d - 2*d - 5698*z + 5699*z + 7 + 2 = 0, 6*d = -4*z + 104 for d. 14 Solve 6 = -2*l - 2*x, -40 = -10*l + 4*x - 38 + 38 for l. 2 Solve 2*s - 3*s - 6 = 2*o, 33*o - 157 = s - 22*o + 20 for s. -12 Solve 5*g = 3*x - 105, 15593*g = 15601*g + 3*x - 105 for g. 0 Solve 2*n - u + 10 = n - 4, 4*u = n + 5*u - 18 for n. 2 Solve d + 3299*k - 3294*k = 8, -5*d = 7*k - 58 for d. 13 Solve 1573*m = 5*v + 785*m + 783*m, 5*v + 2*m - 35 = 0 for v. 5 Solve 5*a + 19 = 4*z, 2*a + 4385*z - 26 = 4390*z - 71 for a. 5 Solve 0 = 3*v + 21, -149*v = -t - 64*v - 87*v - 13 for t. 1 Solve 16*q - 3*h - 81 = 22*q, -79 = -4*q + 5*h for q. -4 Solve -b - 433959*h + 433955*h - 88 = 0, -5*b - 9*h = 187 for b. 4 Solve -2*b + 10*b - 3*b - 12*t + 7*t + 80 = 0, -53 = 2*b - 7*t + 79 for b. 4 Solve -22 = -11*t - 9*q, -36490 = 2*t + q - 36494 for t. 2 Solve 2*m - 75 = -p + 17 + 5, 3*p - 195 = -4*m for p. 1 Solve -14074102 + 14074000 = -3*p - 8*n, -164 = -4*p - 13*n for p. 2 Solve k - 3*t + 0*t - 92 = -0*k, 204*k = 171*k - 7*t - 250 for k. -1 Solve -369 + 365 = 4*u - 4*q, 7*q + 9 = 5*u + 22 for u. 3 Solve -2*a - a + 1128 = -385*x, -3*x = 4*a - 1056 + 1101 for x. -3 Solve 28 = -3*g + 73*h - 68*h, 0 = -2*g + 36*h + 14 for g. -11 Solve 59 = 4*t - 0*d + 5*d, 994*t - 1001*t - 3*d = -17 for t. -4 Solve -8*n + 33463 = -6*k + 33447, k + 9 = -5*n for n. -1 Solve -w = 3*b + b - 5*w + 32, -6*b - 38 = -15029*w + 15024*w for b. 2 Solve 3*c = -5*o - 48, -61*c + 7*o = -59*c - 92 for c. 4 Solve -5*y + 31*w + 336 = 0, -4068*y + 4069*y + 8*w = -2*w + 8*w - 23 for y. -1 Solve -c + 0 = d - 9, -9*c + 15*d = -12*c - c - 8 for c. 13 Solve 9186*p - 53 = -26*m + 9181*p, 3*m - 2*p + 30 + 18 = 0 for m. -2 Solve 3*d + 3*d - 9*d - 3*v = -24, 8*d = 11*v + 26 for d. 6 Solve -3*a = -y - 22, -3*a - 142367*y = -142365*y + 80 for a. -4 Solve -7*i = -l - 321, -8*i - 123*l + 127*l + 364 = 0 for i. 46 Solve -5*r + 20 - 155 = 0, 4388*r = -3*p + 4422*r + 915 for p. -1 Solve 190430*t - 5 = 190431*t, 2*p = -2*t for p. 5 Solve 2 = 3*m + 4*s, 73*m - 44*m - 25*m = -2*s + s + 7 for m. 2 Solve -9*q - 4*w + 59 = 0, 2*w = -71*q + 75*q - 3*w - 33 for q. 7 Solve -4*t - 3*c + 10 = 0, -880*c + 885*c = -t - 6 for t. 4 Solve 40652*w - 40655*w = 3, 9 = 5*n + w for n. 2 Solve 4*b - 149 = -2*b + y - 35, 0 = -9*b + y + 171 for b. 19 Solve -16 = -2*d, -48074 + 48108 = 2*s + 4*d for s. 1 Solve -66 = 8*f + 2*a, 101 = 4*f + 3*a + 136 for f. -8 Solve -i + 4*i + 2*v + 84 - 122 = 0, 3*i + v - 37 = 0 for i. 12 Solve 1092 = 3*o - 10*d - 5*d, 279*o - 5*d = 275*o + 376 for o. 4 Solve -130*l + 126*l - 6 = 2*s, -11 = -l - 3*s for l. -4 Solve -8*r + 5*b - 190 = 0, 76 = 3*r + 299*b - 297*b for r. 0 Solve 1267*i - 1278*i - 4*k = -225, -3*k + 88 = 4*i for i. 19 Solve -4*d + 12 = p, 0 = 4*d - 2*p + 14*p + 21*p - 140 for d. 2 Solve 6127*d - 6131*d - 142 = -2*n, n + d + 40 = 0 for n. -3 Solve 4*n = 3*h - 23 + 19, -56 + 14 = -4*h - 2616*n + 2614*n for h. 8 Solve 2*p - 4*g = 4, -45692*p + 2 = -45690*p - 3*g for p. -2 Solve 2*g - 2977*p + 33 = -g - 2975*p, -8*g = -2*g + 6*p + 96 for g. -13 Solve -8*t + 0*t = -10*t + 3*l + 15, 4*t - l - 35 = 0 for t. 9 Solve -10*s - 7495*f + 7497*f - 58 = 0, -4*s = 3*f + 27 for s. -6 Solve -40 = 23448*r - 23444*r + p, 4*p = 2*r + 38 for r. -11 Solve 14*n = 10*n - 9*f - 41, -5 = 5*n - 9*f + 11*f for n. 1 Solve -3*z + 158 - 318 = v - 149, z = 3*z + 7*v - 37 for z. -6 Solve 2*q + 3*i + 96 = 109, 5*i - 20 = -3*q for q. 5 Solve 25*f - 64*f + 38*f = 3*c - 22, 0 = 4*c - 5*f + 15 for c. 5 Solve -5*v + 22 = v + 2*r + 4 - 30, 0 = 4*v - r - 32 for v. 8 Solve 8*u + 5*y - 4845 + 5306 = 0, 5*u = -3*y - 0*y - 2*y - 290 for u. -57 Solve -4*k = 14*x + 296, k + 32 = 3*k - 2*x for k. -4 Solve -2*v - 36 = 4*a, -125*a + 126*a = 8*v + 93 for v. -12 Solve 7*a = -t - 147 + 6 + 313, -6*a = -4*t - t - 165 for t. -3 Solve 32*u - 64*u + r - 61 = -35*u, 4*u + 2*r - 84 = 0 for u. 19 Solve 15697*w - 15702*w = -2*y + 11, 3*y + 15 = -3*w for w. -3 Solve -18 = 254*n - 2*w, -112*n - 4*w + 36 = -113*n for n. 0 Solve 0*v + 85 = v - 3*w, -22*v + 2150 = -5*w + 6*w + 3*w for v. 97 Solve -o + 40 = 2*f - 4*o - 0, 13*f - 2*o - 190 = 0 for f. 14 Solve 4*x - 112 + 69 = -4*n - 71, -2*n - 4 = 0 for x. -5 Solve -4*s - 109 + 5 = 4*y, -2*s + 128 = -189*y + 185*y for y. -30 Solve n + 47 = -15*f - 2*n - 16, 0 = -5*f - 3*n - 83 for f. 2 Solve -87*b - 13 = -92*b + d + 97, -8*b + 209 = 5*d for b. 23 Solve 5*w - 7 = -f, 62 - 43 = f - 5*w + 7*w for f. 27 Solve 5*m - 1 = -r, m + 0*m - 14436 + 14459 = -6*r for m. 1 Solve -3*t + b = -34, 0 = -4*t - 17*b + 19 - 8 + 71 for t. 12 Solve 0 = -z - 4*b - 24, 2*z + 309628 - 309658 = -z + 5*b for z. 0 Solve 30*c + 179 = -4*k - 32*c + 112*c - 43*c, -c = k + 42 for k. -43 Solve -3*f + 562 = -187*h - 545, 16*f - 12*f = -20 for h. -6 Solve -20 = -2*k - 0*k - 4*j, -4*k + 1703 - 1723 = -7*j for k. 2 Solve 7*g + 4*i + 74 - 177 = 0, 124 = 4*i for g. -3 Solve -5*c - 3*f + 138 = 124, -556*c + f = -559*c - 2 for c. -5 Solve -2*j = 13*n + 50, 2 = -72*j + 70*j - n for j. 1 Solve 5*k + 21*u = 23*u - 95, 89*k + 4*u = 84*k + 115 for k. -5 Solve -4*b + 4 = f, 4*f + 44 = -6*b + 10*b - 5*f for b. 2 Solve 0 = 596*q - 593*q + 7*x + 34, 218 - 31 = -9*q - 4*x for q. -23 Solve -5*j = 30*z + 10, 0 = -z - 283983*j + 283984*j - 5 for z. -1 Solve 22 = -3*j - 2*h - 3, 146*j - 3*h - 491 = 344 - 45 for j. 5 Solve 32*g = 3*q - 171, 4*q = -212*g + 208*g + 88 for g. -3 Solve 7*c - 3*c = u - 6*u + 57, 11*u - 31 = 3*c for u. 5 Solve 3*z - 3*d + 1165755 - 1165725 = 0, 16*z - d + 100 = 0 for z. -6 Solve 80*c = 35*u + 76*c + 68, -2*u = -5*c + 85 for u. 0 Solve -3*d + 2 = 5*p, 2 = -3*p + 55*d - 30*d - 26*d for p. -2 Solve 12 = 2*x - 169*w + 171*w, 6 = 4*x - 2*w for x. 3 Solve 2905*r - 16*u = 2908*r + 34*u + 156, -3*r + 3*u + 3 = 0 for r. -2 Solve -5*o + 5*b = -35, -26*o - 1983 = 4*b - 3823 + 1928 for o. -2 Solve -3*m - 22*m + 7*a + 63 = -23*m, 3*m + 4*a = -36 for m. 0 Solve -4*w = -27*o + 26*o + 4*w + 470, 2*o - 232 = 4*w for o. -2 Solve -15*l + z + 47 - 32 = -12*l, 14*l + 75 = -5*z for l. 0 Solve 2*j + h - 19210 = -19190, 0 = 5*j - 3*h + 5 for j. 5 Solve h + 205*s - 208*s = 4*h + 36, 4*h - 47 = 15*s for h. -7 Solve 614*v + z + 35 = 617*v, 4*v - 40 = 3*z for v. 13 Solve -b = -2*x - 1948 + 1958, -6*b - 42 - 72 = 3*b - 6*x for b. -14 Solve -2*n - 13 + 47 = 4*b, -4545*b + 5*n - 50 = -4548*b for b. 5 Solve 2*g + 0*a + 15268 = -g - 4*a + 15227, -11 = 9*g - 6*g - 2*a for g. -7 Solve 10*y + 2098 = 3*n + 2058, -4*n = -4*y - 72 for y. 2 Solve -3448*s + 3451*s - 26*k = 140, 3*s - 16 = -5*k for s. 12 Solve -2*m + 5*m - 3*d - d - 93 = -3*d, -5*d = -19*m + 585 for m. 30 Solve 0 = -14*s - 3*d + 52, -16*s = -9*s - 11*s - 10*d - 40 for s. 5 Solve y = 5*p + 105, 276*y + 284*y - 558*y - 130 = 6*p for p. -20 Solve 3*q - 4*a = -191, -220 + 405 = -5*q + 4*a for q. 3 Solve 2*j = 2*n + 12, -973*j + 10 = -968*j - 25 for n. 1 Solve 23*v + 20 + 58 = 12*v + 7*v + 18, -a - 163 = 11*v for a. 2 Solve 634*j + 10 = -3*r + 638*j, 1 = j for r. -2 Solve 3*l = -0*l + l + 2, -x + 5*x + 9*x = 3*l - 146 for x. -11 Solve 2*v = 10607*z - 10603*z + 24, 0 = -2*z - 3*v + 76 for z. 5 Solve -8*v - 26 = 5*d + 38, -2*v - d - 141 = -125 for v. -8 Solve -5*f - 3*b + 70 + 24 = -11, 4*f = 3*b + 84 for f. 21 Solve -3*v + 2*r + 348 = 416, 0 = -3*v + 70*r - 340 for v. -20 Solve -5*g - 2*o =
{ "pile_set_name": "DM Mathematics" }
16, what is c9 - 3b? 8e In base 3, what is 1 - -11102021? 11102022 In base 2, what is -10100111 - -10? -10100101 In base 4, what is 20 + -130? -110 In base 15, what is 210 - 2? 20d In base 7, what is -64 + 1? -63 In base 9, what is -82 + 4? -77 In base 10, what is 10 + 362? 372 In base 15, what is 2 - -b0? b2 In base 9, what is -4 - 13? -17 In base 13, what is -87 - -1? -86 In base 9, what is -1 - 866? -867 In base 7, what is -21 + 3365? 3344 In base 9, what is -11 + -2? -13 In base 6, what is -51 - 4? -55 In base 16, what is -c + 134? 128 In base 15, what is 2 - 148? -146 In base 10, what is -3 - 2226? -2229 In base 9, what is 5 - 1203? -1187 In base 14, what is -13c - 15? -153 In base 12, what is 42 + -2? 40 In base 12, what is b2b - -2? b31 In base 14, what is -ac2 - -5? -abb In base 10, what is -1 - 499? -500 In base 8, what is -4575 + -2? -4577 In base 11, what is 3a + -7? 33 In base 15, what is 91 + -93? -2 In base 3, what is -211021 - -10? -211011 In base 16, what is db - -1? dc In base 2, what is -10000001001 - 1? -10000001010 In base 9, what is 5 - 180? -174 In base 14, what is 13 + 2b? 40 In base 9, what is -221 - 3? -224 In base 9, what is 0 + 1314? 1314 In base 5, what is -2 - -13043? 13041 In base 13, what is 9b - -73? 141 In base 16, what is -1 + -c5? -c6 In base 16, what is -20 + 20? 0 In base 6, what is -4 - 5552? -10000 In base 13, what is -5 - -1654? 164c In base 2, what is -10100 - -1001? -1011 In base 12, what is 22 - 16? 8 In base 11, what is -2 - -2? 0 In base 16, what is 229b - -1? 229c In base 13, what is 4 + -52? -4b In base 7, what is 14256 - 2? 14254 In base 9, what is -1 - -36? 35 In base 11, what is 76 - 0? 76 In base 11, what is 1809 - -1? 180a In base 10, what is 1834 + 0? 1834 In base 13, what is -2a + 0? -2a In base 13, what is -37c - -4? -378 In base 6, what is -31304 + -1? -31305 In base 14, what is -27 + -19? -42 In base 6, what is -15 - 124? -143 In base 4, what is 2 - 1232? -1230 In base 10, what is 10 + 145? 155 In base 8, what is -3 + 247? 244 In base 16, what is -5 + -1fe? -203 In base 2, what is -10 - -11101101? 11101011 In base 6, what is -1522 - 0? -1522 In base 3, what is 10 - 102? -22 In base 5, what is 420 - 0? 420 In base 10, what is 6 - 1261? -1255 In base 11, what is -12 + -38? -4a In base 8, what is -137 - 6? -145 In base 4, what is -1 - -3232? 3231 In base 16, what is ab - -2? ad In base 2, what is -100 - -110111000? 110110100 In base 9, what is -4 + 1180? 1175 In base 11, what is -13147 + 5? -13142 In base 2, what is 11 - 110101001? -110100110 In base 10, what is -4 + 540? 536 In base 4, what is -11 - 213232? -213303 In base 9, what is -13 + -5? -18 In base 5, what is -1 + 12042? 12041 In base 6, what is 50 + -24? 22 In base 3, what is -1112 + -12? -1201 In base 5, what is 3403 + 3? 3411 In base 6, what is 2423 - -13? 2440 In base 8, what is 4 - 15024? -15020 In base 12, what is 2 + -5a? -58 In base 15, what is -1a - -3? -17 In base 7, what is -1014 - 5? -1022 In base 16, what is -bd6 + 2? -bd4 In base 3, what is 2210111 + -12? 2210022 In base 16, what is 1d + -61? -44 In base 6, what is -12 - 1? -13 In base 7, what is 62 + 101? 163 In base 13, what is -55 + 9? -49 In base 7, what is -56564 + -3? -56600 In base 2, what is -1001 - -101011100? 101010011 In base 3, what is -10 + -1110121? -1110201 In base 14, what is -31 - -6? -29 In base 16, what is -5 - 17d7? -17dc In base 9, what is 115 - -35? 151 In base 11, what is -1 - 402? -403 In base 13, what is 0 - -c8b? c8b In base 7, what is -6 - 46? -55 In base 11, what is -63 - 9? -71 In base 13, what is 6 - -2c? 35 In base 6, what is 1 - -3213? 3214 In base 3, what is -10021 + -11? -10102 In base 8, what is -4 + 11? 5 In base 4, what is 11310 + 10? 11320 In base 15, what is -7 + -2? -9 In base 9, what is -3 - 50? -53 In base 14, what is -8 + -dc? -106 In base 9, what is -1877 + 5? -1872 In base 4, what is 1 - -1311031? 1311032 In base 11, what is 2 + 17? 19 In base 4, what is -2 - 30013? -30021 In base 11, what is -3 + -31? -34 In base 4, what is -23 + 313? 230 In base 16, what is 3 - f4? -f1 In base 10, what is 1 - 1332? -1331 In base 15, what is -3 + 47? 44 In base 9, what is 4 - -26? 31 In base 5, what is -24 + 1? -23 In base 13, what is -a - 46? -53 In base 10, what is -306 + 1? -305 In base 6, what is -15 - -14? -1 In base 8, what is 472 - -1? 473 In base 13, what is -3ba + -1? -3bb In base 16, what is dd - -4? e1 In base 5, what is -4 + 3331? 3322 In base 9, what is 1 + -75? -74 In base 9, what is -6 + 60? 53 In base 13, what is -5a + 31? -29 In base 6, what is 2 - 41035? -41033 In base 6, what is 3 + 54? 101 In base 14, what is 3 + -30? -2b In base 8, what is -72 + -2? -74 In base 12, what is -2 - 3370? -3372 In base 12, what is 1 - -9? a In base 3, what is -11 + -211012? -211100 In base 11, what is -67 + 3? -64 In base 11, what is -60 + -87? -137 In base 12, what is -7 + -28? -33 In base 3, what is -2101 - 10? -2111 In base 16, what is -821 - -2? -81f In base 7, what is -162 + 13? -146 In base 6, what is -4 - 2435? -2443 In base 4, what is -121123 + -10? -121133 In base 7, what is 316301 + 3? 316304 In base 4, what is -2032 - 1? -2033 In base 5, what is 0 - 133230? -133230 In base 6, what is 124432 - -3? 124435 In base 14, what is -d + -54? -63 In base 11, what is -5 + -346? -350 In base 4, what is 1 + -22233? -22232 In base 9, what is -15 - 3? -18 In base 15, what is 2a + 5? 30 In base 4, what is -110033 + 1? -110032 In base 16, what is -5 + -41? -46 In base 2, what is -101 + -10110001? -10110110 In base 12, what is 1 + -21a? -219 In base 5, what is -2 + 122? 120 In base 11, what is 101 - -3? 104 In base 9, what is -5477 + 2? -5475 In base 5, what is 23 - -1112? 1140 In base 10, what is 2 - -87? 89 In base 2, what is 1000100 - 11111? 100101 In base 2, what is -11 - 101? -1000 In base 6, what is 2 + -5020? -5014 In base 11, what is -5 + -34a? -354 In base 6, what is 0 - 323? -323 In base 10, what is -4753 + -5? -4758 In base 10, what is 137 + 2? 139 In base 4, what is 0 + -1322? -1322 In base 10, what is 3475 - 3? 3472 In base 4, what is 0 + -2232? -2232 In base 14, what is 3 - 17? -14 In base 13, what is 55 + 11c? 174 In base 3, what is -10 - -222? 212 In base 9, what is 208 + -48? 150 In base 13, what is 1 - -202? 203 In base 11, what is 2 + -70? -69 In base 13, what is 4 + 1? 5 In base 16, what is 6 - -c? 12 In base 6, what is 10 - 11? -1 In base 15, what is 25 + 3d? 63 In base 5, what is 142 + 42? 234 In base 11, what is -4 - 64? -68 In base 8, what is -5 - 70? -75 In base 12, what is -1 - 14b? -150 In base 6, what is 1152 - 1? 1151 In base 7, what is 2506 + 0? 2506 In base 8, what is -65714 + -1? -65715 In base 16, what is -1a5b + 4? -1a57 In base 11, what is 79 - a? 6a In base 2, what is 1110111100 + 1001? 1111000101 In base 8, what is -3 - 1271? -1274 In base 12, what is -9 - -41b? 412 In base 2, what is 11 + 1111011101? 1111100000 In base 8, what is 2 - 3746? -3744 In base 6, what is -2542 + -2? -2544 In base 8, what is -61 + 2? -57 In base 13, what is -4 - -22? 1b In base 14, what is 7 - -b5? bc In base 4, what is 1 - 3103? -3102 In base 10, what is 4 + -83? -79 In base 3, what is 1 - -10012? 10020 In base 15, what is 86e8 - 0? 86e8 In base 13, what is 1191 - -3? 1194 In base 15, what is 5 + -28? -23 In base 12, what is -4 - -61b? 617 In base 13, what is -14b - a? -158 In base 8, what is -5 + -55? -62 In base 11, what is 79 - 5? 74 In base 12, what is -2 - 169? -16b In base 9, what is 80 + -32? 47 In base 13, what is 8 - 62? -57 In base 8, what is 126 + 51? 177 In base 10, what is 5 - 11? -6 In base 12, what is -6 - -319? 313 In base 5, what is 0 - 4320? -4320 In base 14, what is 5 + 14b6? 14bb In base 12, what is 2 + -99? -97 In base 2, what is 111 + -101010? -100011 In base 12, what is a + -1? 9 In base 2, what is 11000101100111 - 100? 11000101100011 In base 7, what is -1 + -4604? -4605 In base 15, what is -e + 8? -6 In base 3, what is -101220 + 2? -101211 In base 8, what is 207 - 1? 206 In base 16, what is 17 + -25? -e In base 4, what is -231 + 3? -222 In base 3, what is 1111 + -10? 1101 In base 10, what is 106 - -38? 144 In base 8, what is -24 + 2? -22 In base 5, what is -113311 - 4? -113320 In base 16, what is -7bc - -3
{ "pile_set_name": "DM Mathematics" }
+ n for m. 2 Let b(h) = -h**2 + 642*h - 49188. Let u be b(89). Let q be (-2)/(-9) + (-196)/(-9). Solve 0 = u*w - 18*w - q for w. 2 Let t(x) = -17*x**3 + 2*x**2 - 1. Let i be t(-1). Suppose 5 = 15*m - 40. Suppose -m*w + 16 = h, -5*h - w = -48 - i. Solve -h = 3*z - 4 for z. -3 Suppose 11*x - 2*a = 5*x + 710, 4*a = -28. Solve 0 = -31*k + x + 8 for k. 4 Let u = 14 - 9. Let q(x) = -80*x - 639. Let n be q(-8). Solve n = u*o + 11 for o. -2 Let g(m) = 6*m**2 - m - 5. Let i be g(-3). Let r be i/20 - 3 - 228/(-20). Solve r*t + 16 = 7*t for t. -4 Suppose -8 = -h + 4*o, -4*h - 9 = -4*o - 17. Let j be ((h - -2)*-3)/(2 - 4). Solve 3 = 4*i + j for i. 0 Suppose 0 = -5*m + 9*c - 10*c + 316, 2*m + 4*c = 112. Suppose -5*a = -4*i - 314, -i + 2*i + 1 = 0. Let y = m - a. Solve s + 6 - y = 0 for s. -4 Suppose -3*v + 3 = -6. Let l = 241 - 236. Suppose -2*k = -8, l*n - 12 = 21*k - 19*k. Solve 0 = n*h + 17 + v for h. -5 Suppose 2*q - 8 = -2*q. Let x(f) be the second derivative of 43*f**3/6 + 129*f**2 - 363*f. Let s be x(-6). Solve s = -q*n - n - 6 for n. -2 Suppose -300*j = -211*j. Solve j = 2*a + 21*a - 69 for a. 3 Let x be 0/((2 - 2) + 1). Suppose 67*l = 48*l + 190. Suppose 3*j + 14*c + 4 = l*c, 0 = 2*j + 3*c + 4. Solve x = -i + 2*i + j for i. -4 Suppose -5*z + 15 = -5. Suppose z*p = -5*k - 128, 0 = -3*k + 5*k - 2*p + 62. Let n = k + 31. Solve -n*c = c for c. 0 Let t(z) = z**3 - 17*z**2 - 18*z. Let p be t(18). Suppose p = 12*b - 0*b - 60. Solve b*y - 12 = y for y. 3 Let u(m) = -m**2 + 5*m + 8. Let t be u(6). Suppose -14 = -t*c - 5*l, 0*l = -2*c + l + 26. Suppose -r = 3*r + 2*v - 14, c = 4*r + 4*v. Solve p + 6 = r*p for p. 2 Suppose 5*v - 24 = l, -3*v = -v + 4*l + 8. Suppose -20 = 18*n + 2*n. Let w be n/((4 - 8)/12). Solve h = -v + w for h. -1 Let f be 5 - (-1)/(-2)*56. Let u = -6 - f. Suppose -l - 12 + u = 0. Solve 5 = -5*p - l for p. -2 Suppose 915 = 126*g - 106*g - 1105. Solve -61*j - g + 406 = 0 for j. 5 Let c be (18938/510 - 37) + (-2156)/(-30). Solve 6*l - 96 = -c for l. 4 Suppose 87 = -j + 4*j. Let h be (-11 + 81)*(-3)/(-15). Solve -3*k - j = -h for k. -5 Suppose 4*z - 196 = -a, 44 = 2*z - a - 60. Solve 33 = 61*p - z*p for p. 3 Suppose -5*i + 2*g + 438 = -4*i, -i = -g - 440. Let x = i - 439. Solve -x*m - 14 = -5 for m. -3 Let j(m) = -978*m + 8823. Let v be j(9). Solve v*a = -143 - 25 for a. -8 Suppose 1859 = 12*a - a. Let p = 172 - a. Solve -2*k + 5 = -p*k for k. -5 Let z be 63/21 - ((-2)/(-1) - -149). Let b be 6 - z/(-24) - 26/(-12). Solve -r = b - 0 for r. -2 Let c be 507/15 + ((-208)/(-40) - 6). Solve -c*y + 8 = 8 for y. 0 Let x(k) be the third derivative of k**4/3 + 142*k**3/3 - 245*k**2. Let c be x(-35). Solve 0 = -0*o - c*o for o. 0 Suppose 4*b - 794 = -u, -4*b = -100*u + 104*u - 776. Solve 0 = 23*m - 73*m + b for m. 4 Suppose 27*m - 35*m = -160. Let v(f) be the second derivative of -f**5/10 - f**4/6 + f**3/6 - f**2/2 - 3*f. Let d be v(-2). Solve d*p = -0*p - m for p. -4 Let u = 1 - 1. Suppose u = x + x - 4. Suppose -9*n - 5 = 5*t, -11*t = -4*n - 12*t - 1. Solve n = -x*k + 7*k for k. 0 Let m = -16280 + 20047. Solve 0 = -12*f + 3707 - m for f. -5 Let s(h) = -58*h + 527. Let p be s(9). Solve 0 = -8*l + 21 - p for l. 2 Let l = 2419 + -2142. Solve 283*c - 24 = l*c for c. 4 Suppose 16 = 3*x + 3*y + 13, 4*x - 40 = 5*y. Solve 2*p - x*p = -15 for p. 5 Let u be (-26)/195 - -13*3/(-45). Let r be (0 + u + 1)/((-25)/5). Solve r = -0*i + i + 3 for i. -3 Suppose 234 = -2*k - 3*o, 0 = -8*o + 3*o - 10. Let w = 175 + k. Solve w = -4*n + 41 for n. -5 Suppose 36*t + 177*t = 0. Solve 7*i + 42 - 14 = t for i. -4 Let o be 6 + (6/(-1) - -3). Let r = -3 + 3. Let u(v) = 2*v**3 + 9*v**2 - 19*v - 4. Let y be u(-6). Solve -y*z - o + 9 = r for z. 3 Let i(f) = 6*f - 28. Let n be i(5). Suppose 3*y - 4*b + 20 = 7*y, 3*y - 13 = -n*b. Solve 0 = 3*g - 12 - y for g. 5 Suppose -2*i - 3*i - 9 = 3*b, -2*b + 5*i = -19. Suppose -b*f + 11*z + 20 = 10*z, -8 = 4*z. Solve 5 = -4*u + f*u for u. 1 Let c(n) = 2*n**2 - 5*n + 7. Let b be c(3). Suppose 18*q - b*q = 24. Solve -2*v + 7 = q for v. 2 Let m(d) be the second derivative of 13*d**4/6 - 155*d**3/6 - d**2 + 30*d. Let k be m(6). Solve 9 = k*i - 11 for i. 5 Suppose -10*o + 847 = o. Let f = o + -73. Suppose 4*x + 1 = -3*j, 0 = f*j - 2*x + 3*x - 16. Solve 8*h + j = 3*h for h. -1 Suppose 0 = 281*o - 274*o - 126. Solve -20*s + o*s + 8 = 0 for s. 4 Let z(r) = 8*r + 59. Let n be z(-9). Let y = n + 17. Suppose 0 = -y*b + 5 + 23. Solve b + 2 = -3*l for l. -3 Suppose 9*s = 10*s - 18. Let v be (s + -2 + 4 + -5)/3. Solve -10*j = -v*j for j. 0 Let h = 183 - 180. Suppose -21*m + h*m = -36. Solve 0 = -m*t + 3*t - 1 for t. 1 Let s be -8 + -7 + (-59)/(-1). Solve -4*p = 7*p - s for p. 4 Let k(v) = 17*v**3 - 2*v**2 - 34*v + 74. Let q be k(2). Solve -16*m - 54 + q = 0 for m. 5 Let m be (11/((-66)/39))/((-3)/6). Let l = 48 + -37. Solve -l*i - 4 = -m*i for i. 2 Let b be -12*(-2 - (-10)/4). Let t(j) = j - 4 + 20 + 6 + 2*j. Let k be t(b). Solve -p + k = p for p. 2 Let n = -43 - -45. Suppose -n*z + 73 = 3*m - 69, 5*m + 10 = 0. Let t = 85 - z. Solve 0 = -t*x + 14*x + 6 for x. -2 Let r be (-3192)/(-684) - (2 - (-14)/(-6)). Let m be (4 - 16/4)/2. Solve m = -4*t + 3 + r for t. 2 Let l(a) = 2*a**3 - 9*a**2 - 4*a - 15. Let s be l(5). Let u be 7 + s/(6 - 4). Solve -u*p = -3*p + 5 for p. 5 Let v(t) = -t**3 + 16*t**2 + 3*t - 44. Let d be v(16). Let g(c) = 32*c + 738. Let j be g(-23). Solve h = j*h - d for h. 4 Let v(d) = -d**3 + 12*d**2 - 16*d + 135. Let h be v(11). Let j be (8/3)/(8/228). Let x = h - j. Solve p + x = -1 for p. -5 Suppose 4*n + 5 = -5*w, -w - n + 3 = -4*w. Let p(d) = -53*d + 4. Let v be p(w). Suppose -5*j + v = -2*j. Solve 1 = -4*c - j for c. -5 Suppose -110*m + 50*m = 371*m - 42238. Solve -m = -18*c - 62 for c. 2 Suppose -3303 + 263 = -38*j. Suppose -3*s + 49 = 3*b - 2*b, -5*s + j = 2*b. Solve -s*l + 10*l + 32 = 0 for l. 4 Suppose -590*k = -616*k + 104. Solve k = -50*b - 46 for b. -1 Suppose 0 = -254*p + 14*p + 2160. Solve -p*h = 2*h + 55 for h. -5 Suppose 0 = 3*j + 4*s - 15, -2*j - 3 = 4*s - 9. Suppose j = -k - 3*t, 5*k + 6 = -4*t - 6. Solve -2*o + 4*o - 10 = k for o. 5 Suppose 0 = -6*y + 7*y - 174. Let z be (-28)/(-10) + (y/(-30) - -6). Suppose -16*x + 18*x - z*a = 17, a - 13 = -4*x. Solve l = -x*l + 5 for l. 1 Suppose 3*d - k = 6, -6 = -5*d + 4*k + 4. Suppose -i - 5*i + 12 = 0. Suppose l + 6 = -4*c - 4, 5*c = -i*l - 8. Solve -l = d*q + q for q. -2 Let g(d) be the third derivative of -d**4/12 - 4*d**3 - 37*d**2. Let b be g(-14). Solve z - 9 = -b for z. 5 Let n be 3957*(-1)/(-18) - (-10)/(-12). Suppose 44*u - n - 45 = 0. Solve -u*z + 16 + 2 = 0 for z. 3 Let o be 4 - ((-75)/12)/(1/8). Suppose 126 = 60*g - o*g. Solve g = 6*t + 3 for t. 3 Let g = 8926 - 8905. Suppose -2*j - 3*r + 22 = 0, 4*j + 10 = -r + 34. Solve 4*k = -g + j for k. -4 Let c be ((-18)/24)/((-15)/6940). Let t = c + -342. Solve 0 = -t*b - 0*b + 20 for b. 4 Suppose -23 = -3*a - 3*t - 8, 0 = -2*a + 4*t + 28. Solve a*s = 5*s for s. 0 Let f = -59 - -71. Suppose f*t = 48 + 24. Solve -2*c + 2 + t = 0 for c. 4 Suppose -s - 11 = 5*o - 7, -5*s = 3*o + 20. Let y be (6 + -16)/(s/10). Solve 0 = r + 4*r - y for r. 5 Let w(l) = l**2 - 3*l - 4. Let n be w(4). Suppose -237*d + 238*d - 2*q - 6 = 0, -5*d - 4*q = -2. Solve -6 = -n*j + d*j for j. -3 Let l be ((-46)/(-6))/((-37)/(-257 + 35)). Solve l*x + 32 = 38*x for x. -4 Suppose 149*m - 778 = -240*m + 1167. Suppose 4*y = -11 + 35. Solve m*o - y*o = 0 for o. 0 Let v(i) = -5*i + 162. Let o(p) = 5*p - 163. Let l(j) = 3*o(j) + 4*v(j). Let m be l(19). Solve -2*a - m = 14*a for a. -4 Let y(m) = 5*m**2 - 8*m + 7. Let z be y(1). Suppose -14 + 6 = 2*x + 4*u, 0 = z*x + 4*u + 4. Solve x*o = -o + 15 for o. 5 Let l(a) = a**3 + 3*a**2 + a. Let o(g) = 34*g**3 + 1. Let v be o(-1). Let b be v/(-22) - 3/2. Let m be l(b). Solve -15 = -m*t + 3*t for t. -5 Let k = 36 + -42. Let b = 9 + k. Suppose b*f + r - 18 = 0, 4*f = 5*r - 0 + 5. Solve -f = 2*v + 3 for v. -4 Let n(i) = 10*i**2 + 74*i - 33. Let g be n(-8). Suppose 0 = -3*b + b - 54. Let o be (2/(-3))/(9/b). Solve 5*p - g = o*p for p. 5 Suppose -5832 + 1829 - 5007 = -53*d. Solve -10*j - 230 = -d for j. -6 Let k be 6/10 - 1185/(-25). Let a be (2 - (k/9 + -1))*-3. Solve a = z + 4 for z. 3 Let c be 17/(1292/3336) - (-2 + (-144)/(-76)). S
{ "pile_set_name": "DM Mathematics" }
349. Calculate n(6). -2059 Let y(m) = -805*m - 15541. What is y(-19)? -246 Let a(q) = 8962*q - 483916. What is a(54)? 32 Let q(g) = 320*g + 20439. Calculate q(-64). -41 Let g(q) = 4174*q - 20875. Calculate g(5). -5 Let p(k) = -3*k**2 + 82*k + 121. What is p(16)? 665 Let r(h) = 67*h**2 + 362*h - 56. What is r(-6)? 184 Let u(k) = 89*k + 2750. Give u(-27). 347 Let p(v) = -16*v**3 + v**2 - 201*v - 638. Calculate p(-3). 406 Let s(w) = -3*w**3 + 139*w**2 - 843*w - 63. Calculate s(39). 522 Let r(i) = -566*i - 1982. What is r(-3)? -284 Let h(z) = -8359*z - 108706. What is h(-13)? -39 Let j(h) = -7*h**2 + 97325*h + 1949302. What is j(-20)? 2 Let k(f) = 8*f**2 - 160*f + 100. Give k(19). -52 Let u(f) = 334*f + 36411. What is u(-109)? 5 Let v(p) = 594*p**2 + 131*p - 132. Calculate v(1). 593 Let u(q) = -3*q**3 + 121*q**2 - 802*q + 29. Calculate u(32). -35 Let k(f) = f**3 + 213*f**2 - 1536*f - 227. Determine k(-220). -1107 Let w(f) = f**3 + 19*f**2 - 660*f + 1782. What is w(3)? 0 Let s(i) = 19002*i + 1026121. Determine s(-54). 13 Let z(q) = -1366*q - 75. Determine z(0). -75 Let l(t) = -2*t**2 - 431319*t + 2587990. Calculate l(6). 4 Let x(k) = 697*k - 284354. Give x(408). 22 Let l(z) = 312*z**3 - 2803*z**2 - 30*z - 130. What is l(9)? 5 Let p(q) = 8*q**3 + 43*q**2 - 19*q + 59. Give p(-6). -7 Let a(g) = 20*g**2 - 56*g - 799. Give a(8). 33 Let c(t) = 3036*t + 15190. Give c(-5). 10 Let g(a) = -88*a**3 - 526*a**2 + 25*a + 90. What is g(-6)? 12 Let n(u) = -98*u**3 - 13*u**2 - 25*u - 14. Determine n(-2). 768 Let c(f) = 189*f + 7016. What is c(-40)? -544 Let y(x) = 10476*x - 230519. Determine y(22). -47 Let i(b) = -62218*b + 23. Determine i(0). 23 Let u(t) = 2237*t - 1912638. Calculate u(855). -3 Let u(l) = 22*l**2 + 2899*l + 2654. Calculate u(-131). 427 Let c(m) = -5*m**2 - 128*m - 1724. Give c(-17). -993 Let q(h) = 8*h**2 - 1727*h - 19942. Determine q(-11). 23 Let k(c) = -111*c**2 - 293*c - 294. Determine k(-2). -152 Let a(j) = 712*j**2 + 49*j + 47. Determine a(-1). 710 Let d(g) = 2*g**2 - 499*g - 719. Give d(251). 34 Let a(u) = -772*u + 4752. Determine a(6). 120 Let m(u) = -916*u - 18525. Determine m(-17). -2953 Let o(q) = q**2 + 9099*q - 118471. Give o(13). -15 Let s(c) = -c**3 - 65*c**2 - 156*c - 1187. Calculate s(-63). 703 Let g(n) = -n**2 - 56*n - 442. Give g(-47). -19 Let g(p) = -2*p**2 - 198*p - 1828. What is g(-89)? -48 Let p(m) = -5*m**2 + 210*m + 3193. Determine p(54). -47 Let i(s) = -47525*s. Give i(0). 0 Let p(n) = -35661*n + 71647. Calculate p(2). 325 Let y(m) = 2187*m - 63178. Determine y(29). 245 Let o(m) = m**3 + 28*m**2 + 212*m + 1752. Determine o(-22). -8 Let m(p) = -14*p**3 + p**2 - 17*p - 14. Determine m(-4). 966 Let p(u) = 7*u**3 + 2419*u**2 + 1379*u - 366. Calculate p(-345). -21 Let b(j) = 3627*j + 137189. Calculate b(-38). -637 Let f(o) = -401*o + 41215. What is f(103)? -88 Let y(r) = r**2 + 154*r - 53712. Give y(167). -105 Let q(w) = 542551*w - 16276524. What is q(30)? 6 Let i(b) = -1050*b - 947096. Give i(-902). 4 Let h(g) = g**3 + 104*g**2 + 69*g + 7370. What is h(-104)? 194 Let d(w) = -930*w - 49312. Give d(-53). -22 Let s(q) = -3*q**3 - 156*q**2 - 1724*q + 77. Calculate s(-20). -3843 Let m(g) = 33*g**2 - 2489*g - 19016. What is m(-7)? 24 Let n(x) = x**2 - 95498*x - 2005892. What is n(-21)? 7 Let g(s) = -204*s + 45245. Calculate g(221). 161 Let q(w) = w**3 - 128*w**2 + 261*w - 3333. What is q(126)? -2199 Let p(l) = l**3 + 80*l**2 + 398*l + 435. Calculate p(-4). 59 Let b(i) = 2*i**3 - 4*i**2 - 2099*i + 10502. Calculate b(5). 157 Let x(k) = 32*k**2 - 298*k - 609. Calculate x(11). -15 Let n(h) = -17*h**3 + 93*h**2 - 68*h - 17. Give n(1). -9 Let o(a) = -5*a**2 + 424*a + 6973. Determine o(-14). 57 Let z(w) = -63097*w + 252406. Calculate z(4). 18 Let o(a) = 7*a**2 + 37*a - 524. What is o(-12)? 40 Let j(h) = 2*h**3 + 595*h**2 + 21656*h - 4841. Calculate j(-255). 4 Let w(s) = 2*s**3 - 26*s**2 - 181*s + 2193. What is w(13)? -160 Let x(r) = -119195*r - 953557. Calculate x(-8). 3 Let y(q) = -33*q**2 + 3104*q - 41. Give y(94). 147 Let r(w) = -41*w**2 + 197*w - 35. What is r(5)? -75 Let v(z) = z**3 + 383*z**2 + 6240*z + 6583. Give v(-366). -5 Let n(d) = -3*d**2 - 13*d - 185. Determine n(-14). -591 Let u(h) = 2*h**3 - 75*h**2 + 197*h - 5688. Determine u(37). 232 Let s(f) = -f**3 - 16*f**2 - 54*f - 69. Determine s(-10). -129 Let j(u) = 44*u**3 - 2*u**2 + 54185*u + 54186. Give j(-1). -45 Let i(j) = -19*j**3 + 77*j**2 - 87*j + 322. Give i(4). -10 Let q(i) = 86451*i - 864511. Determine q(10). -1 Let b(c) = 31291*c + 1533265. Calculate b(-49). 6 Let g(c) = -2*c**3 + 520*c**2 - 2056*c - 4. What is g(4)? -36 Let v(x) = -x**3 + 79*x**2 + 788*x - 238. Give v(88). -590 Let p(m) = -13*m**3 + 821*m**2 - 135*m + 372. What is p(63)? -195 Let p(a) = -3*a**3 - 89*a**2 + 87*a - 1166. Calculate p(-31). -19 Let t(c) = -9486*c - 125649. Give t(-13). -2331 Let i(w) = -563959*w - 6767436. Calculate i(-12). 72 Let c(m) = -4328*m**2 + 30291*m + 22. Determine c(7). -13 Let k(g) = -30*g**2 + 47*g - 210. Calculate k(5). -725 Let c(u) = 1655*u + 146446. Determine c(-86). 4116 Let p(x) = 2162450*x - 4324902. Give p(2). -2 Let a(s) = -113*s**2 - 21838*s - 5352. What is a(-193)? 245 Let l(c) = -c**2 + 1023*c + 216537. Determine l(-180). -3 Let b(i) = -28*i**3 + 2099*i**2 + 27*i + 3516. What is b(75)? -84 Let m(l) = 4*l**2 - 226*l - 83. Calculate m(0). -83 Let b(s) = -400*s - 96535. Give b(-244). 1065 Let n(l) = -2973*l - 205127. Calculate n(-69). 10 Let b(k) = 5*k**2 + 222*k - 858. Determine b(-48). 6 Let q(k) = k**3 - 743*k**2 + 47110*k - 832. Calculate q(673). -832 Let g(c) = 3283*c + 12. Determine g(0). 12 Let h(i) = -2*i**2 + 131*i - 236. Give h(63). 79 Let w(f) = f**3 + 141*f**2 - 439*f - 1328. Determine w(-144). -320 Let g(r) = -2*r**3 + 1523*r**2 - 43187*r - 634. Calculate g(732). 98 Let u(v) = 40316*v + 362695. What is u(-9)? -149 Let d(u) = u**3 + 12*u**2 + 76*u + 317. Determine d(-8). -35 Let j(g) = -15*g**2 + 49664*g - 396363. Determine j(8). -11 Let t(b) = 10*b**2 - 5382*b - 16152. Give t(-3). 84 Let r(c) = 732008*c - 14640165. Determine r(20). -5 Let r(w) = w**2 - 208*w - 16275. What is r(-60)? -195 Let i(b) = 2168*b + 184258. Give i(-85). -22 Let i(j) = 3*j**2 + 461*j - 13313. Calculate i(-175). -2113 Let p(n) = -n**3 - 126*n**2 - 79*n - 10076. What is p(-126)? -122 Let o(a) = 9650*a - 67476. Calculate o(7). 74 Let w(o) = -o**2 + 1721*o + 13857. Calculate w(-8). 25 Let m(r) = r**2 + 15468*r - 30956. Calculate m(2). -16 Let f(t) = -19*t**3 - 26*t**2 + 103*t - 6. What is f(-5)? 1204 Let r(c) = 20*c**2 - 41255*c + 776624. Determine r(19). -1 Let t(r) = 443*r - 1796. Give t(8). 1748 Let j(h) = 166*h**3 - 5147*h**2 + 32*h - 49. Determine j(31). -18 Let f(u) = -u**3 - 44*u**2 + 2464*u + 108142. Give f(-50). -58 Let m(x) = 527*x - 17572. Give m(31). -1235 Let t(w) = 4*w**3 + 8175*w**2 - 167187*w - 6186. Determine t(-2064). 6 Let p(t) = -387*t**2 - 272*t + 727. Determine p(3). -3572 Let j(w) = w**3 - 41*w**2 - 175*w - 3111. Calculate j(45). -2886 Let h(f) = -4*f**2 - 11230*f - 300281. What is h(-27)? 13 Let v(j) = -j**3 + 10*j**2 - 349*j + 3970. Give v(11). 10 Let y(f) = -f**2 - 1046*f - 91224. Give y(-96). -24 Let p(w) = 1240*w**2 - 3716*w - 36. Determine p(3). -24 Let v(x) = 19140*x + 8345011. Calculate v(-436). -29 Let n(r) = r**3 - 11*r**2 - 35*r - 10725. What is n(27)? -6 Let r(c) = -124*c**2 - 3539*c - 3402. Calculate r(-1). 13 Let i(c) = -355*c + 23679. Calculate i(66). 249 Let l(v) = v**3 - 33*v**2 - 133*v + 152. Calculate l(41). 8147 Let j(h) = -3*h**2 - 212*h - 3690. What is j(-40)? -10 Let q(w) = 39998*w - 480005. Calculate q(12). -29 Let b(o) = 223*o**2 + 11963*o - 4259. Calculate b(-54). 7 Let z(q) = -2*q**2 - 689*q - 19679. Calculate z(-313). 40 Let o(b) = -2*b**2 - 111*b + 905. Determine o(-74). -1833 Let q(d) = -11158*d + 4887211. Determine q(438). 7 Let o(l) = -171*l - 38657. Give o(-255). 4948 Let m(u) = -19033*u + 1408361. Give m(74). -81 Let r(s) = 17003*s + 84994. Give r(-5). -21 Let o(u) = -u**3 - 54*u**2 + 5050*u + 357. Give o(-103). 48 Let j(q) = -18*q**3 - 31*q**2 + 26*q. Calculate j(-3). 129 Let m(u) = u**2 - 358*u + 17135. What is m(299)? -506 Let w(m) = -52119*m - 1615670. Determine w(-31). 19 Let h(f) = 6*f**3 + 28*f**2 + 22*f + 128. What is
{ "pile_set_name": "DM Mathematics" }
(d) = 3528*d - 3870. Let n(y) = 34*y + 45*y + 28*y - 35*y - 79. Let i(o) = 2*h(o) - 99*n(o). Find the first derivative of i(x) wrt x. -72 Let k = 4901 - 4892. Let x be ((-12)/(-2 + -1))/2. Find the second derivative of -k*b**x + 40*b**2 + b - 29 + 23*b**2 - 3*b wrt b. 108 Let f(s) be the third derivative of 4007*s**5/60 - 146*s**4/3 - 5586*s**2. What is the second derivative of f(c) wrt c? 8014 Let n(j) = -8*j**4 - j**3 - j - 1. Let u(r) = 17*r**4 - 5*r**3 - 416*r - 6. Let v(x) = -6*n(x) + u(x). What is the second derivative of v(w) wrt w? 780*w**2 + 6*w What is the first derivative of -293 + 10952*a**3 - 469 - 232 + 18*a - 18*a wrt a? 32856*a**2 Let i(p) be the third derivative of 145*p**8/336 + p**6/120 - p**4/8 + 35*p**3/3 + 20*p**2 + 8. Find the second derivative of i(m) wrt m. 2900*m**3 + 6*m Let p = -176 - -179. What is the third derivative of m**2 - 19*m**p - 10*m**3 + 0 + 1 - 2*m**5 - 59 wrt m? -120*m**2 - 174 Let j(y) be the first derivative of 179*y**5/5 + y**4/4 - 1528*y**3/3 - 1616. What is the third derivative of j(v) wrt v? 4296*v + 6 Let z(q) = -q**2 + q + 1. Let j(g) = -6*g**4 + 5*g**3 + 1447*g**2 - 5*g - 5. Let m(d) = -j(d) - 5*z(d). Find the third derivative of m(f) wrt f. 144*f - 30 Suppose 0 = 2*a + 2. Let d be 3 - -3 - (-1 - 0)*a. Find the second derivative of -u**3 + 34*u - 53*u + u**3 + u**d wrt u. 20*u**3 Let s(j) = -52*j**2 - 11*j - 821. Let u(n) = -261*n**2 - 56*n - 4105. Let d(o) = 11*s(o) - 2*u(o). Differentiate d(i) with respect to i. -100*i - 9 Let z(x) = 9*x**2 + 54*x + 6. Let k be z(-7). What is the second derivative of -5*w**5 - 81*w - 110*w + 37*w + k*w**5 wrt w? 1280*w**3 Let r(f) be the second derivative of -22*f**2 + 0*f**3 + 0 + 5/4*f**4 + 40*f. What is the first derivative of r(o) wrt o? 30*o Let n(v) be the first derivative of 2078*v**5/5 + v**2/2 + 1446*v - 1781. Find the second derivative of n(g) wrt g. 24936*g**2 What is the first derivative of 11*g**3 - 64*g**4 + 66*g**4 - 7471*g + 7511*g - 3552 wrt g? 8*g**3 + 33*g**2 + 40 Let o(s) be the first derivative of 239*s**5/5 - 7*s**4/4 + s**3 - 1781*s - 1086. What is the third derivative of o(k) wrt k? 5736*k - 42 Find the third derivative of -3*x**5 + 3*x**5 - 91 - 10*x**2 + 247184*x**6 - 246405*x**6 wrt x. 93480*x**3 Let s(b) = 1678*b**2 + 2*b + 3728. Let r(v) = 10069*v**2 + 13*v + 22363. Let m(c) = -2*r(c) + 13*s(c). Differentiate m(o) wrt o. 3352*o Let v(h) = 89*h**3 - 13*h**2 + 9*h + 178. Let m = 474 + -480. Let r(p) = -44*p**3 + 6*p**2 - 4*p - 87. Let a(o) = m*v(o) - 13*r(o). Differentiate a(i) wrt i. 114*i**2 - 2 Suppose -30 = -5*l - 5*q, -3*q = -5*l - 5*q + 21. Find the second derivative of -29*a + 12*a - a**2 - l - 20*a**3 + 83*a**3 + 10*a + 9*a wrt a. 378*a - 2 Differentiate 1566 - 714*a**2 - 8385 + 1094 + 2305 + 1943 with respect to a. -1428*a Let m(w) be the first derivative of w**5/4 + 40*w**3/3 + 261*w + 286. Let k(y) be the first derivative of m(y). What is the second derivative of k(o) wrt o? 30*o Let p = 79 + -77. Differentiate -346*f**p - 23 - 32 + 283*f**2 wrt f. -126*f Let r(j) = -j**2 - 4*j + 2. Let o be r(-4). Suppose 8 = -o*s, -3*s + 988 = p + p. Differentiate -949 - 33*u**4 + p + 476 with respect to u. -132*u**3 Let j(x) = x**3 - 10*x**2 - 12*x + 15. Let y be j(12). Differentiate 80 + 68 + y*c - 256 with respect to c. 159 What is the derivative of 755*k**4 + 551 + 192 + 578*k**4 + 119 wrt k? 5332*k**3 Let x(r) be the third derivative of 732*r**7/35 + 63*r**4/2 + 4906*r**2. What is the second derivative of x(t) wrt t? 52704*t**2 Find the second derivative of -6*t**2 + 854*t**4 + 4217*t + 7*t**2 - 930*t wrt t. 10248*t**2 + 2 Let l(u) be the second derivative of 7*u**5/10 + 7*u**4/12 + u**3/2 + 931*u**2/2 + 3674*u - 1. Find the first derivative of l(c) wrt c. 42*c**2 + 14*c + 3 Let v(u) be the third derivative of -727*u**8/336 + 457*u**5/30 - 9*u**2 + 23*u. What is the third derivative of v(x) wrt x? -43620*x**2 Let n be 65/75 - 1 - (-94)/30. Find the third derivative of -3*j**4 - 233*j**3 + 7*j**2 - 46*j**2 + 244*j**n wrt j. -72*j + 66 Find the third derivative of -20*g**6 - g**3 - 96*g**6 + 56*g + 103*g**2 - 33*g**6 - 105*g**2 wrt g. -17880*g**3 - 6 Let n(d) = -736*d**2 + 3*d + 26. Let c(w) = 2205*w**2 - 8*w - 79. Let g(f) = -3*c(f) - 8*n(f). Differentiate g(t) with respect to t. -1454*t Find the second derivative of 6907*b + 6936*b - 2 + 1282*b**3 - 13807*b wrt b. 7692*b Let q(r) = 249*r**2 - 153*r - 1. Let s(z) = 166*z**2 - 102*z - 1. Let c = -314 - -309. Let w(g) = c*q(g) + 7*s(g). What is the second derivative of w(p) wrt p? -166 Let h(a) be the second derivative of -91/6*a**3 - 5*a - 77/20*a**5 + 0*a**4 + 0*a**2 + 0. Find the second derivative of h(v) wrt v. -462*v Let v(b) = 2*b**3 + 17*b**2 - 7*b + 20. Let k be v(-9). What is the first derivative of 5*s**2 + 5*s**k - 78 + 19*s**2 - 6*s**2 wrt s? 46*s Let x(t) = 431*t + 355. Suppose 10*a + 60 = 22*a. Let o(j) = 216*j + 177. Let h(n) = a*o(n) - 2*x(n). Differentiate h(c) with respect to c. 218 Find the second derivative of -1 + 940*p**2 + 1030*p**2 - 140*p - 177*p - 17*p**2 - 171*p wrt p. 3906 What is the derivative of -544635 + 270828 - 10740*z + 271101 wrt z? -10740 What is the derivative of 849 - 2772*q**2 + 145 + 173 + 16 wrt q? -5544*q Let h(p) = p + 26. Suppose -5*d - 25 = 5*g, 3*g - 10 = 3*d - d. Let v be h(d). Find the third derivative of 10*i**5 - 8*i**2 - 6*i**2 + v*i**5 wrt i. 1860*i**2 Let t = 52 + -46. Suppose 0 = -t*a + 4*a + 10. Find the third derivative of 13*p**2 + 10*p**a + 7*p**2 + 16*p**2 - 23*p**2 wrt p. 600*p**2 What is the third derivative of -315*c**6 - 13 - c**5 + 9*c**2 + 53 - 12*c**2 - 3*c**2 wrt c? -37800*c**3 - 60*c**2 Let a = 18 + -11. Suppose 0 = 2*b + a*b - 2520. What is the third derivative of b*c**5 + 0*c**4 + 0*c**4 - 27*c**2 - 287*c**5 wrt c? -420*c**2 Let v be 266 - (1 - -4*2/(-4)). Let h = v + 544. What is the third derivative of -33*n**5 - 807*n**2 + h*n**2 - 8*n**5 wrt n? -2460*n**2 Let n(q) = -q**4 + q**3 + q**2 - 3. Let k(d) = 169*d**4 - 6*d**3 - 4*d**2 - 1278. Let z(c) = -k(c) - 4*n(c). Differentiate z(x) with respect to x. -660*x**3 + 6*x**2 Suppose -2*g - 52 = 4*w - 6*g, 2*g + 72 = -5*w. Let a be (-4)/w + 8/(448/1160). Find the second derivative of -a*d**5 + 44*d**5 - 6*d**5 + 17*d wrt d. 340*d**3 Suppose 2*c = -5*x + 480, -3*c + 0*c = 5*x - 485. What is the second derivative of -30 + 61*a**2 - 2*a**3 + x*a + 58 - 28 + 29*a wrt a? -12*a + 122 Let h(b) = -b**2 - 5*b. Let o(p) = -28*p**2 + 14*p - 2588. Let l(u) = -6*h(u) - o(u). Find the first derivative of l(y) wrt y. 68*y + 16 Let t(s) = -54*s**2 - 23*s + 631. Let l(k) = 49*k**2 + 22*k - 630. Let c(y) = -13*l(y) - 12*t(y). What is the first derivative of c(v) wrt v? 22*v - 10 Let v = -3 + 6. Let l(o) = o**3 - 2*o**2 - o - 4. Let z be l(v). Find the third derivative of i**4 - 8*i**2 - z*i**4 - 9*i**4 - 11*i**2 wrt i. -240*i Let c(t) = t**2 + 3*t - 13. Let y be c(3). What is the third derivative of -31*i**2 - 17*i**2 - 90*i**5 - 130*i**y wrt i? -13200*i**2 Find the second derivative of -194*x + 17*x**3 - 531*x**2 + 1839*x + 555*x**2 wrt x. 102*x + 48 Let k = 261 - 225. Find the third derivative of -2*u**2 - k*u**3 - 2*u**3 + 3*u - 4*u - u - 42*u**2 wrt u. -228 Let o be 3/12 + (-220)/(-80). Find the third derivative of 131*g**o - 160*g**2 + 114*g**3 - 39*g**3 wrt g. 1236 What is the derivative of -150*w - 444 - 470 - 371*w - 185 - 333 wrt w? -521 Let i = 140 + -137. Let x be (18 - 3)*(-4)/(-10). What is the second derivative of x*h + 2*h**3 - h**i + 0*h**3 - 2*h**3 wrt h? -6*h Let y(r) be the first derivative of r**7/7 - 104*r**5/5 - 956*r**3 - 2561. What is the third derivative of y(o) wrt o? 120*o**3 - 2496*o Let i(m) be the second derivative of -m**5/4 + m**4/6 + 187*m**3/6 - 5127*m**2 - 3*m - 43. What is the first derivative of i(q) wrt q? -15*q**2 + 4*q + 187 Let r(g) be the first derivative of g**7/7 + 796*g**5/5 + 181*g**3/3 + 15*g**2/2 - 5671. What is the third derivative of r(f) wrt f? 120*f**3 + 19104*f Let i(r) be the third derivative of 697*r**8/168 - 3*r**5/10 - 13*r**3/6 - 2*r**2 - 338. What is the third derivative of i(z) wrt z? 83640*z**2 Let i(v) be the second derivative of -9*v**5/20 + 49*v**4 + 70*v**3/3 + 5*v**2/2 + 550*v + 1. Find the second derivative of i(t)
{ "pile_set_name": "DM Mathematics" }
44 - -55.19696. Let s = c + 0.0076. Round s to the nearest 10. 60 Let n = -29993 + 57763. Suppose 2*y = 175770 - n. Suppose 11*k - y = k. Round k to the nearest 1000. 7000 Let v = -823 - -1166. Let b = v + -342.99999654. Round b to seven dps. 0.0000035 Let v = 2275 + 146. Let p = -2475.56 + v. Let x = -52 - p. Round x to the nearest integer. 3 Let j = 8056.22 + -7884. Let v = 423 - 258. Let u = v - j. Round u to zero decimal places. -7 Let g = 6506377249.9 - 6506377305.662284282. Let q = g + 0.762274982. Let m = -55 - q. Round m to 6 dps. 0.000009 Let w = -0.11121 + -0.97949. What is w rounded to one dp? -1.1 Let k = 875.824 - -2.176. Let y = -878.0539 + k. Let l = y - -0.04811. What is l rounded to 3 decimal places? -0.006 Let g = -0.40988542 - -0.4098. Round g to five decimal places. -0.00009 Let k = -645765 - -6069465. Round k to the nearest 10000. 5420000 Let g = 3.625 + -3.624998475. What is g rounded to 7 dps? 0.0000015 Let c = 128201 - 282320. What is c rounded to the nearest one thousand? -154000 Let j = 3.8411 + -4.30028. Round j to two dps. -0.46 Let m = 0.153044 + -0.18709. Let k = -0.0344 - m. Round k to five dps. -0.00035 Let v be (6 - (-10)/(-1))*-3. Let o be v*(1365/10)/13. What is o rounded to the nearest 10? 130 Let x = 27613.000056428 + -27613. What is x rounded to six decimal places? 0.000056 Let h(j) = -1129631*j**2 - 12*j + 3. Let l be -18*((-102)/(-12) - 8). Let p be h(l). What is p rounded to the nearest one million? -92000000 Suppose -l - 6 = -5. Let g(o) = o**2 + o + 1. Let n be g(l). Let f be (-1 + -2 + -247)*(n - 521). What is f rounded to the nearest one hundred thousand? 100000 Let g = 1226 - 1224. Suppose b = -b - 30. Let y be (b/g)/5*(-1 + 123). What is y rounded to the nearest ten? -180 Let w = 8179.1 + -8179.0912243. Round w to 3 dps. 0.009 Let j(f) = 21915*f**3 - 5*f**2 + 12*f + 34. Let d be j(-2). Round d to the nearest ten thousand. -180000 Let r be (32/(-24)*1)/(8/(-6)). Let c(m) = 42519*m**2 + 1. Let j be c(r). Let d = j - 29620. Round d to the nearest one thousand. 13000 Let v = 5.4375012 - 5.25751. Let l = 169.18 - 169. Let k = v - l. What is k rounded to 6 decimal places? -0.000009 Let o = -12.30191 + 40.301899. Let u = -28.05 + 0.05. Let g = o + u. What is g rounded to 6 dps? -0.000011 Let h = -66653.43 + 67112. Let a = -459 + h. Round a to 1 dp. -0.4 Let w = -0.095913114784 + -80.521167111216. Let i = w + -7.382920514. Let z = 88 + i. Round z to seven decimal places. -0.0000007 Let l = 72586.7477 + -72591. Round l to two dps. -4.25 Let x(t) = -2*t**2 + t. Let q(l) = -l**3 + 28*l - 33. Let b(d) = q(d) + 6*x(d). Let u be b(-16). Round u to the nearest 10. 450 Let h = 502192.99975 + -502410. Let v = -217 - h. What is v rounded to 4 dps? 0.0003 Let g = 78880.05109 + -78881. What is g rounded to 3 decimal places? -0.949 Let m = 7.669 - -0.211. Let x = m - 7.878266. What is x rounded to 4 dps? 0.0017 Suppose 4*q - 2015994 = -3*x, -2*x - 10 = -6. What is q rounded to the nearest one hundred thousand? 500000 Let l be 15*4/8*(-12)/(-15). Suppose l*v + 8500 = 7*v + 3*a, 3*v - 4*a = 25500. Round v to the nearest 1000. 9000 Suppose 7*i - 3*i - 92 = -4*s, 2*s - 34 = 4*i. Suppose -350624 + 14624 = -s*o. Round o to the nearest one thousand. 16000 Suppose 2*a + 923120 = -4*d, 0 = -57*a + 59*a + 3*d + 923115. What is a rounded to the nearest one hundred thousand? -500000 Let c = -9609 - -9608.9997169. What is c rounded to five decimal places? -0.00028 Let w = 0.019084476 - -103.980911024. Let l = w + -104. What is l rounded to 6 decimal places? -0.000005 Let v = -1716756 - -1716468.000338. Let w = 106 - 394. Let y = w - v. Round y to five decimal places. -0.00034 Let g = -206425 - -346030. Let j = g + -35165. Suppose -5*v - 4*f = 900004, 5*f + 435565 = -3*v - j. Round v to the nearest one hundred thousand. -200000 Let i = -12.4 - -54.2. Let o = i - -2.2. Let c = -44.0000016 + o. What is c rounded to six decimal places? -0.000002 Let p = 12313 - 12312.89458. Round p to three dps. 0.105 Let v = -205525 - -702085. What is v rounded to the nearest 10000? 500000 Let g = -3021047 - 1777520. Let n = g - -4798984.9811. Let c = 418 - n. What is c rounded to two dps? 0.02 Let y = -20.4 + -56.6. Let d = y - -77.18. What is d rounded to two decimal places? 0.18 Let h = -192 + 192.071. Let g = h + -0.06996. What is g rounded to four dps? 0.001 Let t = -602.7101912 + -0.0078088. Let g = -602.857 - -0.857. Let u = t - g. Round u to one dp. -0.7 Let b = -10363 + 10251.89. Let l = b - -118.2. Round l to zero decimal places. 7 Let w = 93 - 2. Let z = w - 72.5. Let h = -18.758 + z. What is h rounded to 2 decimal places? -0.26 Let h = -5208.999951744 + 5209. Round h to seven decimal places. 0.0000483 Let b = 248 + -251. Let d be (-2 - 2926498)/(b/40). What is d rounded to the nearest 1000000? 39000000 Let s = 17.90887 + -0.09087. What is s rounded to zero decimal places? 18 Suppose -5*c + 2*v = -3*v + 1615, -4*c = -2*v + 1284. Let u(h) = 3*h**2 - 8*h + 92. Let g be u(8). Let l = g + c. What is l rounded to the nearest 10? -100 Suppose 14*i = 17*i - 36. Suppose -i = -9*f + 8*f. Let w be 36/f + (-107994)/(-2). What is w rounded to the nearest ten thousand? 50000 Let d = 25681.99950485 - 25682. What is d rounded to five dps? -0.0005 Let n = 9417 + 178. Suppose m + n = 3*g, 5*m + 8280 + 7695 = 5*g. What is g rounded to the nearest 10000? 0 Let k = 801565 - 801564.7472646. Let r = k + 745.7482456. Let s = 746 - r. Round s to 4 decimal places. -0.001 Let b = -0.00816 + 0.00812203. What is b rounded to 5 dps? -0.00004 Let h(l) = -126695*l - 2693634*l - 30 + 170314*l. Let d be h(-2). What is d rounded to the nearest one million? 5000000 Let m = 169.93 + -169. Let g = 23.2 - 23.558. Let w = g + m. What is w rounded to 2 dps? 0.57 Let c = 0.0428356423 - 0.042839. Round c to 7 decimal places. -0.0000034 Let y = 0.421 - 0.42105283. Round y to five decimal places. -0.00005 Let c = 532.1 + -731. Let p = -412 - c. Round p to the nearest ten. -210 Let w be 414/21 - (9/(-7) - -1). Suppose 14*j - w*j + 2346000 = 0. Round j to the nearest 100000. 400000 Let l = 51493 - 51516.879. What is l rounded to the nearest integer? -24 Let q = 487860.026125602357 + -7343807477.026127472357. Let n = q + 7343319198. Let x = n - -419. What is x rounded to 7 dps? -0.0000019 Let t = 38238 + -38240.50736. Let v = t + 2.5. What is v rounded to 4 dps? -0.0074 Let q(j) = -34392*j**3 - 2*j**2 - 3*j + 8. Let w be q(3). Let v = -3928603 - w. Round v to the nearest one hundred thousand. -3000000 Let n = 7965 - 1970. Suppose 5*j = -4*l + 5980, -5*j + 10*j + l - n = 0. Round j to the nearest 1000. 1000 Let a = 1470363736.020012 - 1470357432. Let d = 6304 - a. Let n = d - -0.02. Round n to six decimal places. -0.000012 Let a = 596.4 - -2887.6. Let r = a + -3481.919. Let b = r + -2.26. What is b rounded to 2 dps? -0.18 Let w be 27/(54/8) + 1*(4453398 - 2). Round w to the nearest ten thousand. 4450000 Let n = -386.1 + 380.397. What is n rounded to zero dps? -6 Suppose 2*p - 2142 = 4*f, -5*p + 0*f = -4*f - 5385. Let t(q) = 115*q + 94. Let l be t(-5). Let u = p + l. Round u to the nearest one thousand. 1000 Let s = -737638 - -447714. Let i = 129924 + s. Round i to the nearest 100000. -200000 Suppose -43*o + 21 = -36*o. Suppose 5*d = 4*m + 4452, -m = -o*d + m + 2670. What is d rounded to the nearest 100? 900 Let f = 13399 - 3738. Round f to the nearest 1000. 10000 Let b = -78410 + 50545. Round b to the nearest 1000. -28000 Let f = -13419 + 53433. Let k = f + -39944.007. Let c = -70 + k. Round c to two decimal places. -0.01 Suppose 19*i + 44*i - 32688320 = 7*i. What is i rounded to the nearest one hundred thousand? 600000 Let u = -83.20850237 - -421.72309029. Let r = 312.5145891 - u. Let c = r - -26. What is c rounded to 7 decimal places? 0.0000012 Let j = 5914376830321 + -5914377271821.8070077. Let i = 441501 + j. Let t = 0.193 - i. What is t rounded to six decimal places? 0.000008 Let s = 1394.01722 - 771.02059. Let g = -623 + s. What is g rounded to 4 dps? -0.0034 Let z = 21 - 15. Suppose s - 2 + z = 3*i, 3*s - 4*i = 13. Suppose -s*l - 9371223 = 7898777. Round l to the nearest one hundred thousand. -1600000 Let g = -102279 + 236889. What is g rounded to the nearest ten thousand? 1
{ "pile_set_name": "DM Mathematics" }
e first derivative of d**2/2 - 3*d - 2. Let s(x) = -x + 8. Let o be s(-12). Suppose 5*a = -2*t - 2*t + o, 8 = 2*a - 4*t. What is q(a)? 1 Let b(i) be the first derivative of 7*i**2/2 - 2*i - 274. What is b(-5)? -37 Let z(j) = 5*j + 27. Let l be z(-6). Let s(y) = y. Let i be s(l). Let n(w) = w**2 + 7*w + 13. Let x be n(i). Let f(g) = 6*g**3 - g**2 + g. Give f(x). 6 Let g(p) be the third derivative of -p**6/60 + p**5/5 - 5*p**4/12 + p**3/6 + 41*p**2. Let i be g(5). Let m(d) = 5*d + 1. Give m(i). 6 Let o(v) = v**3 - 11*v**2 - 14*v + 16. Let a = 398 - 386. What is o(a)? -8 Let r = 63 + -56. Let c(h) = 7 - 4*h**2 - 5*h**2 + 6*h + r*h**2. What is c(5)? -13 Let s(r) = -r**2 - 3*r. Let k(m) be the first derivative of -2/3*m**3 + 2*m - m**2 + 2. Let l be k(-2). What is s(l)? 2 Suppose 4 - 3 = -q. Let j(a) = a**2 + 107*a**3 - 51*a**3 + a**2 - a**2 - 50*a**3. Give j(q). -5 Let t(f) = 16*f**2 + 16*f + 1. Let i(y) = -18*y**2 - 19*y - 1. Let b(g) = 5*i(g) + 6*t(g). Calculate b(-1). 6 Let f(o) = 17 - 24 + 5*o + 6. Let i(h) = h**3 - h**2 - 2*h - 1. Suppose 5*g = 4*l + 29, 5*l = -9*g + 4*g + 20. Let w be i(l). Give f(w). -6 Let n(u) = -u**2 - 14*u - 20. Suppose -135*i = -141*i - 48. Determine n(i). 28 Let t(s) = -24*s + 11. Let r(v) = 27*v - 12. Let j(l) = 6*r(l) + 7*t(l). Determine j(2). -7 Let f(n) be the second derivative of -11*n**3/6 - 7*n**2/2 + 76*n + 4. Determine f(3). -40 Suppose 3*x - 23 = -f - 3, 2*x = -4*f + 30. Let g(b) = -1 + b**2 - 4 + 1 - 4*b. Give g(f). 1 Let v(m) = -4*m + 1. Let x = -141 + 135. Determine v(x). 25 Let v(y) be the second derivative of y**3/2 + y**2/2 - 2*y. Let c(b) = -33*b**2 + 2*b + 1. Let t be c(-1). Let l = -35 - t. Calculate v(l). -2 Suppose 30 = 29*j - 39*j. Let w(p) = -p**3 - 4*p**2 - 3*p - 2. What is w(j)? -2 Let q(v) = -16*v**2 + 2*v - 9. Let x(i) = -21*i**2 + i - 8. Let r(k) = 4*q(k) - 3*x(k). What is r(5)? -12 Let k be (-33)/(-55) - (-12)/5. Let o(y) = -10*y - k + 20*y - 6*y + 0*y. Determine o(2). 5 Let t(h) = -h - 4. Let j(b) = 6*b - 5. Let u be j(-6). Let q = u + 57. Suppose 2*g + 0*g + q = 0. What is t(g)? 4 Let q(y) = 8 - 2 - 6 + 6*y. Let t(j) = -j**3 - 10*j**2 - j - 9. Let u = -59 - -49. Let k be t(u). Calculate q(k). 6 Let w(b) be the second derivative of -1/6*b**3 + 0 - b - 9/2*b**2. Let g be w(-5). Let m(q) = q**2 + 5*q + 4. Determine m(g). 0 Let l(r) = -r - 380 + 369 + 3*r. Let p(m) = -m + 6. Let j = -4 + -1. Let v(q) = j*p(q) - 3*l(q). Give v(7). -4 Let o(c) be the first derivative of 4*c**2 + 1 - 1/4*c**4 + 5/3*c**3 - 4*c. Suppose 3*i = -2*m + 19 - 7, 0 = 2*m + 2*i - 12. Give o(m). 8 Let v be -21*8/(168/(-9)). Let x(n) = -n**2 + 10*n - 12. What is x(v)? -3 Let h(w) = -w + 7. Let x be (5 - 13/3)*(11 - -1). Calculate h(x). -1 Let n(k) be the first derivative of -3*k**2 - 13*k + 22. Give n(-3). 5 Let y(h) = 3*h + 5. Suppose 4*m = -8, -4*m = -3*v - 2*v - 522. Let i = 101 + v. What is y(i)? -10 Let q(h) = 3 + 5*h + 80*h**2 - 79*h**2 + 3*h. What is q(-8)? 3 Let f(g) = -g**2 + 4*g**3 - 7*g**3 - 10*g**2 - 9 + 2*g**3 + 11*g. What is f(-12)? 3 Let z(r) = 14 + 4*r - 17 + 4 + r. Let d(c) = c**2 + 6*c - 9. Let o be d(-7). Calculate z(o). -9 Let h(o) = -2*o + 9. Suppose 0 = 3*p - 6*a + 4*a - 14, 0 = -2*p - 2*a + 16. Calculate h(p). -3 Let v(u) be the second derivative of -u**5/20 - u**4/3 + u**3 - 7*u**2/2 - 4*u + 34. Calculate v(-5). -12 Let a(l) = 0*l - 2*l - 7*l. Let i be a(2). Let n = 13 + i. Let m(p) = -p**2 - 7*p - 2. Give m(n). 8 Let j = 1431 - 1448. Let w(z) = -z**3 - 15*z**2 + 33*z - 23. Determine w(j). -6 Suppose 3*i = 14*i - 33. Let r(b) = -2*b**3 + 3*b**2 - 2*b. Determine r(i). -33 Let d(r) = 2*r + 5. Let f(p) = -5*p - 47. Let c be f(-9). Let n(s) = 5*s - 4*s + 2*s. Let j be n(c). Determine d(j). -7 Let q(g) = -g**2 + 6*g - 1. Let d(a) = -a**2 + a + 4. Let j be d(2). Suppose 0 = z + j*y, 0*z + 4*z = 4*y + 36. Calculate q(z). -1 Let a be 0/((-2*3)/(-2)). Suppose 3*i + 0*i - 21 = a. Let z(m) = i*m + 5*m + 2 - 9 - m**2 - 4*m. Calculate z(6). 5 Let b(a) be the third derivative of -a**4/24 - 5*a**3/3 + a**2. Let i(h) = 3*h - 5. Let q be i(7). Let y = -22 + q. Calculate b(y). -4 Let v(z) be the second derivative of 0 + 1/2*z**4 + z + 1/20*z**5 - 7/6*z**3 + 5/2*z**2. Let g = 0 + -7. Give v(g). 5 Suppose o + 7*m - 11*m - 17 = 0, -4*o + 5*m + 24 = 0. Let x(n) = 10*n**2 + 1. Calculate x(o). 11 Let d(f) = -2*f**2 - 12 + 11 - 4*f + f**2. Let r(g) = g**2 + g - 3. Let o be r(0). Give d(o). 2 Let h(p) = -3*p - 4*p + 7*p - 20 - p. Let y be h(-14). Let z(d) be the first derivative of d**2/2 + d + 1. Give z(y). -5 Let h(i) = -24*i - 8 + 23*i - 1. Give h(-9). 0 Let m(v) be the third derivative of v**4/3 + v**3/6 + v**2. Suppose 0 = -8*c - 8 - 0. Let k be c*(-1 - 2)/(-3). What is m(k)? -7 Let d be (((-35)/2)/(-7))/(12/(-24)). Let b(x) = -7*x**2 - 10*x - 1. Let i(m) = 4*m**2 + 5*m. Let l(h) = -3*b(h) - 5*i(h). What is l(d)? 3 Let p = -1 - -5. Suppose p*t = t. Let y(q) = 7 + 67*q - 20*q + 4*q**2 - 3*q**2 - 25*q - 21*q. Determine y(t). 7 Suppose 2*g = 3*k - 41, -65 + 13 = -4*k + 4*g. Let x be 2/(-5) + 6/k. Let f(c) be the third derivative of -c**5/60 + c**4/24 - c**3/2 + 9*c**2. What is f(x)? -3 Let d = -291 + 291. Let q(n) = -2*n**2 - n + 9. Give q(d). 9 Let d = 1 - -4. Let o(y) = -8*y - d - 6*y + 11*y + y**2 - y. Determine o(5). 0 Let w(p) = -p - 3. Let q be 0 + 2 + -8 + 14/7. Determine w(q). 1 Let p(x) = 7*x**2 + 5. Let r be p(-2). Suppose 2*c = -3*u + r, 3*u = u + c + 22. Let a(z) = z**2 - 10*z - 11. Give a(u). 0 Let o be 75/(-200)*-2*(-2)/(-12). Let i(x) be the third derivative of o*x**4 + 0 + 1/2*x**3 + 5*x**2 - 1/60*x**5 + 0*x. Give i(4). -1 Let z(v) = v**3 + 11*v**2 - 13*v - 11. Let b be z(-12). Let m be ((0/4 - b) + 0)*-1. Let h(u) = -2*u + u**3 + 4*u**2 + 2*u**2 - 7*u**2 + 1. Give h(m). -1 Let v(r) = 4117*r**3 - 2 - 4116*r**3 + 2*r - 4*r**2 + 1 + 0. Let d be (5/(-2))/(1/2). Let w = -2 - d. What is v(w)? -4 Let y(f) = 4*f + 2*f**2 - 3*f - 3*f**2 + 5. Let o(s) = -5*s**3 + s**2 - 2*s - 3. Let d be o(-1). Give y(d). -15 Let w(c) = -c**2 - 8*c - 7. Let q(a) = -a + 13. Let k be q(-7). Let l = k - 28. What is w(l)? -7 Let d(f) be the third derivative of -f**5/30 + f**4/4 + 7*f**3/6 + 3*f**2 + 4. What is d(5)? -13 Let j = -15 - -19. Let i(z) = 0*z + 1 + 4*z + 6*z - 8. Let s(d) = -5*d + 4. Let q(r) = 2*i(r) + 5*s(r). Determine q(j). -14 Let x(v) be the first derivative of -1/3*v**3 + 11/2*v**2 + 25 + 19*v. Calculate x(13). -7 Let i(g) = 5 + 3*g + 2*g**2 - 3*g**2 - 5. Let z be i(3). Let x(h) = z*h + 2*h - 33*h**2 - 1 + 32*h**2. Give x(3). -4 Let t(c) be the second derivative of c**5/20 - c**4/3 - 5*c**3/6 - c**2 + 4*c. Suppose -4*j + 2*j - 16 = 0. Let d be (-46)/j - (-3)/(-4). Determine t(d). -2 Let s(f) = 3 + 147*f**2 - 146*f**2 + 3*f - 5. Calculate s(1). 2 Let s be (-8)/10*20/(-8). Let g(i) = -4*i**s + 0*i**2 + 2*i + 2*i**3 + i**2 - i**3. Suppose 0 = -3*y + 10 - 4. What is g(y)? 0 Let z(y) = -7*y**2 - 49*y - y**3 + 86*y + 42 - 45*y - 48. Let o be (4 + -1)/((-2)/4). What is z(o)? 6 Let k(c) = 4*c + 1. Let s(u) = -2*u**2 + 3*u + 26. Let o be s(-3). Give k(o). -3 Let n(t) be the second derivative of -t**4/12 + t**3/2 - t**2/2 - 151*t. Give n(4). -5 Suppose 7*p - 4*p = -15, -2*l - 2*p - 10 = 0. Suppose l = h - 0*h - 4. Let n(a) = h*a - a + 1 - a. Determine n(1). 3 Suppose 6*o + 9 = 9*o. Let x(v) = 1 - 1 + 10*v**2 - 3*v - 9*v**2 - 1. Determine x(o). -1 Let g(r) = r**2 - 5*r + 1. Let a be (-3)/(-3) - -2 - 1. Suppose 0 = a*m - q + 5*q - 18, m + 5*q - 12 = 0. Let c(d) = d - 3. Let h be c(m). Calculate g(h). -3 Let l(y) = -2491 + 2*y + 1248 - 6*y + 1243. Calculate l(-10). 40 Let s be 1155/11 + (-1 - 1). Let l = -71 + s. Suppose 2*p + 10 = q, 4*p + l = 4*q + q. Let i(h) = h**2 + 3*h + 1. Give i(p). 1 Suppose 3*u - x = -2*u + 32, 0 = -x - 2. Let o be u/(-4 - -3 - 1). Let h be o/((-2)/(16/(-4))). Let d(m) = m**2 + 8*m + 5. Determine d(h). -7 Let h be 44/(-11) + -2 + 15 + 1. Let q(d) = h*d + 56 - 56 + d**2. Calculate q(-8). -16 Let m(b) = -b**3 + 9*b**2 + 10*b + 3. Let y = 165 - 155. Give m(y). 3 Suppose -3*d - 1 = 4*n - 31, -5*n = -15. Let p(r) = 3*r + 2. What is p(d)? 20 Let r be (-14)/(-2)*(-6 - -2 - -5). Let o(u) = -2*u**2 - 11 - 6 - r*u + 12. Let h(y) = y + 2. Let z be h(-6). Give o(z). -9 Suppose 0 = -3*i - 5*y + 37, 2*i + 2*y - 13
{ "pile_set_name": "DM Mathematics" }
- -10. Is t even? True Suppose 2*x - 7*x = -60. Let o = -3 + x. Let r = 14 - o. Is r a multiple of 2? False Let o(w) = w**2 - 7*w - 6. Let l be 74/8 - (-2)/(-8). Is 4 a factor of o(l)? True Let s = 18 + -45. Let n = s - -68. Let p = 4 + n. Is p a multiple of 18? False Let d(y) = 8*y - 1. Is d(23) a multiple of 23? False Let q(k) = k - 4*k + 3 + 2*k. Let g be q(-3). Suppose -g - 27 = -3*v. Is v a multiple of 11? True Suppose 744 = 8*n + 256. Is 19 a factor of n? False Let m(y) = 2*y - 2*y + y + 12. Does 12 divide m(0)? True Suppose 0 = -a + 2*z + 14, -3*z + 0*z = -3*a + 51. Let v be 6/15 + 452/a. Let g = 49 - v. Does 26 divide g? True Let x = 6 + -4. Let g be x/6 + 35/(-15). Is 1*-1*28/g a multiple of 12? False Let x = 33 + -18. Does 5 divide x? True Let r be (71/(-3))/(5/(-30)). Let s = r - 84. Is 20 a factor of s? False Let v(h) = -h**3 - 9*h**2 + h - 21. Is 10 a factor of v(-10)? False Let p(u) = 3*u**2 + 6*u + 20. Is p(-5) a multiple of 13? True Let u = 32 + 0. Let p = u + 3. Does 13 divide p? False Suppose 0 = 2*o + 3*o - 5. Let i(a) = 18*a**3. Is i(o) a multiple of 9? True Let b(v) = v**2 + 3*v + 3. Let s be b(-2). Is 16 a factor of 30 + s + -1 + 2? True Let h(c) = 2*c**3 - 3*c - 3*c**3 - 4 + 1 + 6*c**2 + 4. Suppose -5*b + 21 = 1. Is h(b) a multiple of 17? False Let u(w) = 5*w + 28*w**2 - 4*w + 2 - 3. Is u(1) a multiple of 14? True Let d(x) = -x**2 - 7*x - 3. Let u be d(-6). Let v be 1/u*(-1 + 22). Let g = v - -6. Is g a multiple of 13? True Suppose -8 = -5*z + 7. Suppose -51 = -0*t + z*t. Let u = t + 26. Does 9 divide u? True Let w(k) be the second derivative of 1/2*k**2 - 1/6*k**3 + 0 + 3*k. Is 5 a factor of w(-4)? True Let s(m) = -m**3 + 4*m**2 - 2*m. Let g be s(3). Suppose n = -g*n. Suppose -a + 9 = 5*q, 5*a - 2*q - 126 = -n*q. Is 12 a factor of a? True Suppose -2*x + 638 = 4*m - 0*x, -m = -3*x - 149. Suppose -2*u - u = 2*f - 94, 3*f = -5*u + m. Does 17 divide u? True Suppose 5*x + 5*f - f - 4 = 0, -5*x - f + 1 = 0. Is 1 + 42 - (3 + x) a multiple of 6? False Suppose 5 = -2*l + 3*l - b, -4*l + 3*b + 18 = 0. Suppose 5 = t + x, -2*t - l*x + 5 = -4. Suppose 4*h = -5*u + t + 2, -4*u = -2*h - 22. Does 3 divide u? False Suppose 16 = -2*u - 12. Suppose 0 = 5*a - b + 151, 3*a - 2*b = a - 62. Let x = u - a. Does 8 divide x? True Let y be 0 - 1 - (-1 + -3). Let f = -1 + y. Suppose 56 = f*r + 2*r. Is 5 a factor of r? False Suppose 6*r - 4*r + 8 = 0. Let u = r + 7. Does 3 divide u? True Suppose 0 = -i + 11 - 1. Does 19 divide (59/(-2))/((-5)/i)? False Let m = 5 + -1. Is 22 a factor of (m - (-3)/(-1))*45? False Suppose -3*c + 4*c - 2 = 0. Suppose -c*o + 8 = 2*o. Suppose -s - s + 26 = v, 2*s = -o*v + 22. Does 14 divide s? False Let y be (-1)/(-2) - 540/(-8). Suppose 0*j - y = -4*j. Is j a multiple of 7? False Let f = -1 - 6. Suppose -3*c + 4*i = 68, 0 = 5*c - 2*i + 17 + 101. Let t = f - c. Does 15 divide t? False Suppose -r - 432 = -9*r. Is 9 a factor of r? True Let f = 28 - 9. Is 12 a factor of f? False Let h be (3 - -2 - 3) + 2. Suppose -5*n + 0*c + 485 = 3*c, 356 = 4*n - h*c. Suppose 3*g - n = -g - 2*q, 0 = 3*g + 2*q - 69. Does 20 divide g? False Let b be 2 + 2*(-9)/6. Let f be (-1290)/(-24) - b/4. Suppose 0*c = -2*c + f. Is c a multiple of 16? False Suppose -4*r = -5*n - 563, -4*r + 2*r + 2*n = -284. Is r a multiple of 37? False Let o = -3 + 5. Suppose -o*z = 2 - 20. Suppose p - 21 = z. Is p a multiple of 19? False Let m = -3 - -5. Let p be (-28 - 0) + -4 + m. Is ((-6)/(-9))/((-2)/p) a multiple of 4? False Let z be (-10)/25 + 153/(-5). Let x = 1 - z. Suppose 2*w - 34 = -2*k, 4*k + x + 17 = 5*w. Does 13 divide w? True Let r(b) = 5*b**2 - 1. Let k be r(1). Suppose 0 = -5*f + k*f + 15. Is f a multiple of 12? False Suppose -5*o + 5*j = -15, 2*j + 5 - 13 = -5*o. Let h be (-1 - (0 - -1)) + 4. Suppose -1 - 5 = -o*l - h*y, -l + 2*y = -3. Is 2 a factor of l? False Let u(s) = 7*s**3 + 4*s**2 - s + 4. Let k be u(3). Suppose 5*m - k - 174 = 0. Suppose x - m = -3*x. Is 20 a factor of x? True Let f(w) = w**3 - w**2 - w. Let a be f(2). Let o be (0 + 0 + 0)/a. Suppose -j - 63 = -x - o*j, 120 = 2*x + 4*j. Is x a multiple of 20? False Does 13 divide 11/(-22)*72/(-1)? False Let p = 217 + -78. Is p a multiple of 15? False Let r = -11 + 7. Is 30 + r/((-8)/6) a multiple of 11? True Let o(t) = 6*t**3 - 2*t**2 - 2. Let d be o(2). Let w = d - 10. Let y = 40 - w. Is 8 a factor of y? False Let q(p) = 7 + 5*p - 3*p + 5*p - 4*p. Let m(o) = -2*o - 6. Let u(t) = 4*m(t) + 3*q(t). Is 3 a factor of u(9)? True Suppose -4*a = 37 - 1. Does 12 divide (-6)/27 + (-119)/a? False Let q be (-1)/4 + 52/16. Let r(d) = 3*d + 5 + 2*d**2 - q*d**2 - 10*d. Does 6 divide r(-4)? False Let s(p) = 3*p**3 + p**2 + p + 2. Let j be s(2). Let k = j + -10. Let o = k + 11. Is o a multiple of 9? False Let u be 94/3 - (-1)/(-3). Let z = 2 + -20. Let j = z + u. Does 6 divide j? False Let z(h) = h**2 - 2*h - 1. Let w be z(-1). Suppose 2*k - 67 = -5*l, 5*k - 2*k = -w*l + 18. Is 2 a factor of (-8)/10*l/(-6)? True Let g = -137 + 267. Suppose -5*f - h + g = 4*h, 4*h = -5*f + 129. Is f a multiple of 7? False Let p = -19 + 4. Let t = p - -39. Does 8 divide t? True Let y(u) = u**2 - u + 2. Suppose 5*k = r - 0*r + 14, 4*r = k - 18. Let m = -6 - r. Does 8 divide y(m)? True Suppose 0 = -4*x + 2*l + 62, x - 2*l - 5 = 12. Is x a multiple of 15? True Let h(v) = 7 - 10*v - 7. Let l be h(-2). Suppose -f + l = 4. Is f a multiple of 6? False Let o = 0 + 2. Let r be (-60)/(-18)*3/o. Suppose -r*x + 43 = j, 22 = 2*j - x - 31. Does 14 divide j? True Let k = -8 - -31. Is k a multiple of 14? False Let j(q) = -2*q + q + 3 + q**2 + 16. Does 5 divide j(0)? False Let l = 93 - 84. Is l a multiple of 3? True Let q = 27 - 7. Does 8 divide q? False Suppose 9 = 3*b + y, 2*y + 0*y - 4 = b. Suppose -69 = -n - b*n. Let f = n + 26. Is 13 a factor of f? False Let h(k) = -k**3 + 8*k**2 + 6. Let d = 27 + -19. Does 5 divide h(d)? False Let v be (1 - (-4)/(-3))*-6. Suppose -7*n + 30 = -v*n. Suppose -79 = -3*d - y, 5*y + n = 2*d - 41. Is d a multiple of 11? False Suppose 4*o = -3*o + 420. Is 30 a factor of o? True Suppose -q - 4 = -3*q. Let v(m) be the third derivative of m**5/15 - m**3/6 + m**2. Is 15 a factor of v(q)? True Let g = 153 - 141. Let y(x) = x**3 - 4*x - 7*x + 1 - 11*x**2 + 5. Is 9 a factor of y(g)? True Suppose -6*t + 10*t = 56. Is t a multiple of 12? False Let x be (3 - 1) + (13 - 1). Suppose -n + x = n. Let i = n - -3. Is i a multiple of 5? True Let d(x) = -x**3 + 4*x**2 - 1. Let f be d(4). Let l(h) = -5*h - 1. Is 2 a factor of l(f)? True Suppose 2*a - 133 = -11. Is a a multiple of 15? False Suppose 0 = 2*f + 3*f - 215. Does 10 divide f? False Suppose -3*f - 3*f = -420. Is 14 a factor of f? True Suppose 82 = l + 30. Is 13 a factor of l? True Let s be ((-4)/(-6))/((-2)/48). Does 3 divide (-19)/(-4) - (-12)/s? False Suppose 0 = 2*d - 4*d - 6, 5*x - d = 8. Suppose 2*v - x = -p, -5*v - p = -10*v - 8. Is 6 a factor of v + (-7)/(2/(-2))? True Suppose 0 = -22*j + 18*j + 384. Is j a multiple of 14? False Let u = 10 - 19. Does 7 divide (6/4)/(u/(-84))? True Suppose -3*x - 2*x = -30. Let b = -8 + x. Is 24 - b/4*-4 a multiple of 12? False Let a(d) = -33*d. Let i be a(1). Does 8 divide (i/15 + 3)*20? True Let t(g) = -g**2 + 4*g + 7. Let f = 9 + -4. Let i be t(f). Suppose -140 = -5*s - i*r, -4*s + 3*r = -5*s + 15. Is s a multiple of 15? True Suppose 0 = 3*f + 5*w - 71, 4*f - 3*w + 0 - 114 = 0. Does 8 divide f? False Let h(i) = 22*i**2 + 4*i - 3. Is h(-3) a multiple of 61? True Let d = -48 + 111. Is 13 a factor of d? False Suppose 5*b - 6 = -5*l - 51, -2*b = l + 22. Let z = -1 - b. Suppose -j + 2*m = -10, -3*j + 4*m + 14 + z = 0. Does 4 divide j? False Suppose -5*g + 584 = -0*o + o, -2*o = -4*g + 456. Is 26 a factor of g? False Let u(b) = b**2 - 4. Let l be u(3). Suppose 3*v = 3*d + 2*d - 107, d + l*v = -1. Is d a multiple of 7? False Suppose 6*w - 37 - 47 = 0. Does 3 divide w? False Suppose 14*w = 9*w + 330. Is 11 a factor of w? True Let l = -27 - -36. Suppose d + 3*q - 25 = -6, d + q - l = 0. Is 3 a factor of d? False Let k be 67/5 + (-2)/5. Let u = k - 4. Suppose -2*i + 5*j + 17 = 0, j = -2*i - 2*j + u. Does 4 divide i? False Is 21 a factor of 39 + 1/((-4)/(-4))? False Suppose 2*p = 3*m - 6, -5 = -m - 3*p - 3. Suppose -m*x + 5*r + 20 = x,
{ "pile_set_name": "DM Mathematics" }
(41 - 209)) 50 Evaluate 9 + -5 + -2 - (-17 - (10 - 14)). 15 Calculate 3 + 10 + -5 + (-361 - -353). 0 Calculate 130 + (43 - (-130 - -416)). -113 Calculate 16 - (70 + 51 + -99). -6 Calculate (12 - -9) + -14 - -19 - ((0 - 3) + -7). 36 Evaluate 6 + -14 - (-53 + 1 - -150 - (0 + 10)). -96 Calculate -5 - (17 + 24 + (16 - 33)). -29 What is the value of 21 + 44 + 6 - (-9 - ((-2 - -14) + -7))? 85 Calculate 97 - (106 + -97 + (-1 - -4) + -11). 96 What is the value of (-14 - (-18 - -16)) + -14 + 91? 65 Evaluate 56 + 1 + -1 + (-8 + -1 + 6 - -8). 61 What is -19 - (23 + -27) - -5 - -18? 8 What is 153 - ((-27 + -13 - -58) + -17)? 152 Evaluate 44 + -16 + -57 + -1. -30 What is (-1 - 21 - (-195 + 140) - 4) + -20? 9 (-4 - (-32 + -27)) + 66 121 Calculate -4 + -3 + (13 + 9 - (0 + 5)). 10 What is the value of 14 + (-4 - (-6 + 0) - (53 + -31))? -6 (18 - 10) + 43 + -17 - 40 -6 -25 + (19 - -4) - (-15 + -102 + 9) 106 Calculate -92 + (-4 - -83) + (2 + -3 - -59). 45 Evaluate 14 - (-42 - (61 - 51 - (-3 + 13))). 56 Calculate (9 - -1) + (-70 - (23 + -78)). -5 What is the value of 728 - 735 - (0 - (70 + -1 + 2) - -3)? 61 Calculate 60 + -99 + (44 - 61). -56 What is the value of -122 - (-28 - 36 - 111)? 53 What is -197 + 295 + 22 - (32 + 1)? 87 27 + 2 + (0 + 7 - -2) - (24 - 17) 31 What is the value of (-1 - (4 - 0) - (97 + -113)) + -69? -58 Evaluate (-14 - -13 - -20) + -83 + 22. -42 -18 + -17 + 15 + -6 + -12 + 25 -13 Calculate 3 + (-3 - 3) - (7229 - 7219). -13 Calculate -64 + 5 + 14 + -6 - (8 + -4 + -10). -45 -39 + 28 + -29 + 0 -40 Calculate -107 + -2 + -3 + (12 - 18) + 22. -96 Calculate -13 + (-8 - 3 - (15 + -112 + 16)). 57 Evaluate -6 + (24 - 4) + (1 - -4) + -11 + -24. -16 Evaluate (2 + -16 - 3) + 278 + -215. 46 What is -2 + 101 - (20 + (11 - (2 + 11)))? 81 What is the value of -12 + 0 + (110 - 53 - 40)? 5 What is -51 - -1 - ((-61 - -62 - (1 + 1)) + 14)? -63 What is the value of 66 - 30 - (11 + -14 - ((0 - -5) + -9))? 35 What is the value of -27 + (5 - -43 - (-53 + 79))? -5 11 + -6 + -6 + -1 + -29 + 0 -31 (1 + -1 - 1) + (37 - -20 - 57 - 55) -56 Calculate 3 + -27 + (11 - 18) + -6 + (10 - 0). -27 Evaluate -60 - ((0 - 42) + 5 + 21). -44 Evaluate -303 - -311 - (1 + 48). -41 61 - (47 + (12 - -32)) -30 Evaluate -97 + 276 + -25 + (7 - 30). 131 Calculate 28 + -8 - (-14 + 4). 30 2 + 22 + 50 + -32 + -8 34 Calculate 53 + 106 + (-92 - 77). -10 What is the value of (1 - 1 - -2) + 9 + (-9 - (-37 + 15))? 24 What is the value of (13 - (-1 - 14)) + 97 + -118? 7 What is (-24 - -92) + -32 - 0 - -2? 38 What is (58 - (-2 - -2)) + 83 + -328 + 232? 45 What is the value of -2 + (-10 - (2 + -3) - (-2 + 6 + -1))? -14 1 - 32 - (1 - 9 - (412 - 412)) -23 Calculate 40 - (-47 + 59 + 11). 17 Evaluate 4 + 14 + (-5 - (6 + (-8 - 8))). 23 7 + 5 + -3 - 83 - -19 -55 Calculate -1316 - -1296 - (5 + -11 - (5 - 0 - 2)). -11 What is 0 + -16 + -4 + -22? -42 Calculate 14 - 7 - (5 + -3 - -8) - -42. 39 What is (-5 + 4 - -16) + -309 + 291 - -15? 12 Evaluate -40 - (0 + -52 - (853 - 864)). 1 Calculate 6 - (-2 - (-2 + 7 + -28)). -15 What is -21 + 3 + (22 + 7 - 15)? -4 Evaluate (-17 - (83 + -50)) + 67. 17 7 - ((-1 - -4) + 146 + -129) -13 -19 + -2 - -3 - (-57 + 38 + 27) -26 Evaluate -198 - -40 - (-237 + 46). 33 Evaluate 9 - ((-20 - -36) + (-12 - 11)). 16 Calculate -3 + 2 + 1069 + -1062. 6 What is the value of (1 + 11 - (-36 - 0 - -47)) + (-4 - 0)? -3 What is 3 + -2 - (22 + (2 - -13)) - -1 - 2? -37 Calculate -103 + 47 + 4 + -97. -149 What is -12 - 27 - -26 - (58 + 3)? -74 Calculate (17 - -16) + 11 + (21 - (13 + -8)). 60 What is -6 + -4 + 12 - 2 - 19 - (18 + -13)? -24 Calculate 14 - 60 - (-106 - -13) - -33. 80 Calculate -33 + (0 - 31 - (-916 + 854)). -2 Calculate 16 - (-14 + 33) - (-20 + 4) - (-61 - -1). 73 Calculate 30 + -40 + -35 + (-1 - 9). -55 Evaluate -2 + -7 + (0 - (25 + -38)) + 18. 22 Evaluate 42 + -90 + 48 + (0 + 1 + 32 - 1). 32 Calculate 27 + 9 + -59 - (2 - 14). -11 What is the value of -15 + (-40 - -43) + 17 + -9 + 2? -2 (-167 - -160) + (-26 - -9) + -7 -31 What is the value of 0 + -3 + 10 + -1 - (1535 - 1551)? 22 Evaluate -21 + (71 - (61 + -45)). 34 What is the value of (-212 - -100) + (0 + (3 + 0 - -2) - -2)? -105 Evaluate 41 - (-26 + (16 - 3 - 6)). 60 What is (-13 - 0) + (-2 - -54 - (2 - -10))? 27 Calculate 38 + -117 + 7 + 11. -61 What is 1 + (-16 + (9 - 1) - -10 - 0) - -3? 6 Evaluate -97 + -2 + -304 + 458. 55 10 + (6 + -16 - -8 - (-9 - -34)) -17 What is -98 + (-28 - -6 - -13) + -3 + 1 - 14? -123 Evaluate ((-10 - 2) + 19 - (41 + -3)) + (29 - 39). -41 Calculate 250 + -372 - (-53 - 4). -65 Evaluate 5 - (-3 - (-22 + -11 + -1 + -2 + 2)). -26 1 + 27 - 58 - -64 - ((0 - -3) + 2) 29 What is 145 + (-68 - (-1 + -27)) + 17? 122 What is (-11 - (-1 + -14 + (0 - -42))) + 11? -27 Evaluate (13 - (-11 - -28)) + (2 - 0) + -37. -39 What is the value of 1141 + -1113 + -1 + -33? -6 What is -13 + (11 - (23 + -4 + 6))? -27 Calculate (16 - (29 - 32)) + -15 + -1. 3 What is -4 + ((11 - 4) + -11 - -14) - (12 - 1)? -5 6 - ((-13 - -20 - 19) + -19) 37 1 + -12 - (-2 - 0 - (-18 - (-109 - -27))) 55 Calculate -259 - -20 - -141 - (-4 - -32 - 2). -124 Evaluate 87 + -43 + 1 + -57. -12 -52 + (22 - 8) + 23 - -46 31 Calculate -4 - (17 + -8) - ((12 - -6) + -85 - -16). 38 What is the value of -50 - (-59 + -63 + 89)? -17 What is the value of 1 + (-1 - -2) - (-86 + 85) - 41 - -11? -27 -35 - -1 - -45 - (-5 - 65 - -7) 74 Calculate 3 + (3 - 2 - (-19 + 30)) - -39. 32 What is (-6 - 30) + -1 + 8 + -17? -46 What is the value of 4 + -11 + (-8 - -20) - (-2 + 12 + 85)? -90 What is -3 - -2 - (-4470 + 4378)? 91 Calculate (92 + 4 - -1) + 0 - (-16 - 5 - -32). 86 What is -133 - ((-26 - -10) + 30 + -4 + -6 + -2)? -135 Evaluate 58 - (-18 + -6 + 26 + 9 + -27). 74 Evaluate (34 - -3 - (-36 - -58)) + -5. 10 Evaluate 37 - (-71 - -32 - -152). -76 22 + (-3 - 53) + -36 + 7 -63 Evaluate -1 + 35 + ((9 - 5) + -1 - (-4 + 7)). 34 What is (54 - (-66 + 118) - (-1 - -12)) + -7? -16 What is the value of 21 + -111 + 74 + 4 + 1 + (1 - -148)? 138 Calculate -19 + -19 + 11 + 4. -23 Evaluate (410 + -417 - (-2 + 5)) + (0 - -2) - 29. -37 6 + (8 - (-2 - -4) - -2 - 0) 14 Calculate (-11 - -68 - 17) + 0. 40 30 - (50 + -48 - (-1 - 12)) 15 What is -1 + -4 + (7 - -18) + (5 - -2)? 27 Calculate ((-150 - -159) + 1 + -9 - -4) + -15. -10 -21 - (-9 - 3) - 4 -13 What is the value of 1 + 16 - 23 - (-1 + 4)? -9 -5 + (16 - 17 - 13 - -7) -12 Calculate 6 + (19 - 32) + -9 - (5 - (-2 + -1)). -24 What is the value of -1 + (-102 - 14) + 62? -55 What is the value of (-12 + 18 + 22 - 22) + 10? 16 What is 71 + 0 + (6 + 6 - -11 - 22)? 72 (-83 - -78) + 75 + -43 27 (38 - (13 - -20) - 13) + 0 + -42 -50 Calculate -485 + 487 - (104 + 1). -103 What is the value of 68 - (44 + -53 + 4 + (-7 - -4))? 76 Evaluate 13 + -5 - (14 - (-16 + -13 + 29 + 6)). 0 Calculate (-58 - -2 - (-2 - 6)) + 31. -17 What is -3 + (6 - -6) + -1 + 0 - (-1435 - -1451)? -8 What is 70 - 0 - ((-1987 - -2000) + 2 + -4 + -7)? 66 What is the value of 127 + -117 - (-5 - -30)? -15 -2 + -46 + 3 + 1 + 8 - -10 -26 What is the value of -1654 - -1537 - (-93 + 0)? -24 -1 + -20 + (69 - (-218 - -267)) -1 What is the value of -226 - (-242 - -20) - (2 - 115)? 109 What is 46 + (48 - 9 - 83)? 2 Evaluate -72 + 12 + 23 + -39 + (-1 - -24). -53 What is the value of -107 + 151 + 47 + -97? -6 What is the value of 132 - (-18 + (122 - 82))? 110 What is -3 + (9 - (9 - (7 + 12)) - -15)? 31 What is (-29 - -65) + (1 - (9 - (31 - 14)))? 45 Calculate (-17 - (-5 + (-22 - -5))) + 27 + -100. -68 (-8 - (11 + -17)) + (-4 - (5 + 0)) -11 What is the value of (11401 - 11316) + (1 - 139)? -53 -109 - 42 - (-44 + -10) -97 Calculate 150 + (-35 - -15) + (4 - (10 + 15)). 109 What is -41 - (-52 - -8) - (-1 + (2 - (-3 + 4)))? 3 1 + -18 + (9 + 9 + -13 - -2) + 31 21 What is the value of 87 - (84 + 5) - (-1 + 1)? -2 260 - ((126 - 127) + 120) 141 Evaluate -16 + (-5 - -7) - (-485 - -453). 18 What is the value of (47 - 64) + 52 - 8? 27 (64 - 1) + 8 + 0 + (16 + -1 - 32) 54 What is the value of -19 - (-4 + 0 + -4 + 14 - (1 + 9))? -15 Calculate 0 + -76 - (1995 + -2126). 55 Evaluate 93 + -94 + 32 + -7. 24 Evaluate 57 + (79 - (7 + 74)). 55 What is the value of -33 + (42 - 24) + -11 + -1 + 0? -27 Calculate -13 + -1 + (36 - 19). 3 11 + -104 + (-21 - -23) - (2 - (-4 - -1)) -96 Calculate 20 - 4 - 27 - 2 - -24. 11 What is th
{ "pile_set_name": "DM Mathematics" }
d without replacement from yfufjrm. 2/21 Two letters picked without replacement from {t: 3, a: 7, w: 3}. Give prob of picking 1 a and 1 w. 7/26 Calculate prob of picking 2 a and 2 n when four letters picked without replacement from nnanaaannnn. 21/55 What is prob of picking 1 v, 1 f, and 1 h when three letters picked without replacement from {f: 2, h: 4, o: 2, v: 2}? 2/15 Three letters picked without replacement from {a: 7, c: 2}. What is prob of picking 2 c and 1 a? 1/12 What is prob of picking 3 e and 1 d when four letters picked without replacement from {e: 6, d: 2}? 4/7 Calculate prob of picking 2 s when two letters picked without replacement from iisfiissisiif. 1/13 Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {l: 1, z: 1, a: 5, k: 2, r: 2, f: 2}. 5/78 Two letters picked without replacement from ejqievx. What is prob of picking 1 i and 1 q? 1/21 What is prob of picking 2 b when two letters picked without replacement from jjbbbjbjjjj? 6/55 Four letters picked without replacement from {p: 2, z: 8, m: 1, k: 2, l: 2, d: 2}. Give prob of picking 1 z, 2 p, and 1 l. 4/595 Calculate prob of picking 1 x, 1 v, and 1 w when three letters picked without replacement from {i: 1, v: 3, j: 1, x: 3, p: 2, w: 5}. 9/91 Two letters picked without replacement from {h: 1, u: 2, v: 1}. What is prob of picking 2 u? 1/6 Three letters picked without replacement from qqqqqq. What is prob of picking 3 q? 1 Two letters picked without replacement from {v: 2, d: 1, p: 4, j: 5, e: 2}. What is prob of picking 2 p? 6/91 Three letters picked without replacement from {k: 2, n: 8, x: 4}. What is prob of picking 3 x? 1/91 Three letters picked without replacement from {m: 4, b: 2}. Give prob of picking 1 b and 2 m. 3/5 What is prob of picking 3 o and 1 i when four letters picked without replacement from xtbioitooiiiib? 6/1001 Two letters picked without replacement from {d: 5, i: 2, s: 9}. What is prob of picking 1 s and 1 d? 3/8 Two letters picked without replacement from yjjwywyj. Give prob of picking 1 j and 1 w. 3/14 What is prob of picking 1 j and 1 z when two letters picked without replacement from jfzjfijjjjjjjujjjumu? 6/95 Four letters picked without replacement from {g: 3, o: 5, k: 7, q: 1}. What is prob of picking 1 q, 1 k, and 2 g? 3/260 Four letters picked without replacement from {k: 2, t: 4, w: 5, a: 1, f: 2}. What is prob of picking 4 t? 1/1001 What is prob of picking 1 c and 1 w when two letters picked without replacement from mmmcbmkkmwmmk? 1/78 Three letters picked without replacement from {o: 5, r: 1, h: 3, l: 1, u: 2, n: 1}. Give prob of picking 1 r, 1 l, and 1 n. 1/286 What is prob of picking 1 w and 1 e when two letters picked without replacement from {w: 5, a: 3, c: 2, e: 1, f: 1}? 5/66 Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {y: 1, d: 1, z: 5, v: 2}. 5/36 What is prob of picking 4 i when four letters picked without replacement from {z: 6, n: 2, i: 4, l: 3}? 1/1365 Two letters picked without replacement from wzzz. Give prob of picking 2 z. 1/2 What is prob of picking 2 c and 1 z when three letters picked without replacement from cczcccccccczzzcz? 55/112 Two letters picked without replacement from {b: 9, i: 2}. What is prob of picking 2 b? 36/55 What is prob of picking 2 q and 2 t when four letters picked without replacement from {u: 4, t: 7, q: 7}? 49/340 Calculate prob of picking 1 a, 1 c, and 1 m when three letters picked without replacement from aqmmcqwcvcqwqqcmmww. 16/969 Four letters picked without replacement from {l: 6}. Give prob of picking 4 l. 1 Two letters picked without replacement from {j: 7, u: 1, r: 10}. What is prob of picking 1 r and 1 j? 70/153 What is prob of picking 1 f and 1 w when two letters picked without replacement from {j: 2, f: 1, x: 1, u: 1, w: 2}? 2/21 Calculate prob of picking 3 p and 1 r when four letters picked without replacement from {p: 5, r: 2}. 4/7 What is prob of picking 1 w, 1 o, and 2 l when four letters picked without replacement from {o: 1, l: 3, w: 2, f: 1}? 6/35 Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {w: 2, l: 6, e: 10}. 20/51 Three letters picked without replacement from qqqqnqnqqqqqnnqnqqq. What is prob of picking 2 n and 1 q? 140/969 What is prob of picking 3 g when three letters picked without replacement from {k: 6, g: 7}? 35/286 Four letters picked without replacement from {j: 5, a: 9}. Give prob of picking 4 a. 18/143 Two letters picked without replacement from {b: 7, c: 2, i: 2}. Give prob of picking 1 i and 1 c. 4/55 What is prob of picking 2 j when two letters picked without replacement from wjjjjiuemiue? 1/11 Calculate prob of picking 1 w and 1 u when two letters picked without replacement from uuzuxzuwzu. 1/9 What is prob of picking 1 f and 3 k when four letters picked without replacement from {k: 3, f: 8}? 4/165 What is prob of picking 1 q and 1 v when two letters picked without replacement from {k: 1, q: 1, v: 2}? 1/3 Three letters picked without replacement from {d: 2, q: 3, n: 3}. Give prob of picking 2 d and 1 q. 3/56 Three letters picked without replacement from bbooooooobooooo. Give prob of picking 3 o. 44/91 What is prob of picking 2 k when two letters picked without replacement from {m: 1, k: 4, b: 7, v: 1, z: 2}? 2/35 What is prob of picking 1 l and 1 j when two letters picked without replacement from njebdldej? 1/18 What is prob of picking 2 m when two letters picked without replacement from mmrrmmrmmrrrrrmr? 7/40 Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {p: 3, r: 2, k: 4}. 1/6 What is prob of picking 2 u and 1 c when three letters picked without replacement from xxluhluuoooxuuluc? 3/136 What is prob of picking 1 a, 2 o, and 1 b when four letters picked without replacement from {o: 3, v: 5, b: 2, a: 7}? 3/170 Calculate prob of picking 2 x when two letters picked without replacement from {z: 2, x: 3}. 3/10 Calculate prob of picking 2 c when two letters picked without replacement from {p: 10, c: 10}. 9/38 What is prob of picking 1 a and 1 o when two letters picked without replacement from aaaaaaaaaaao? 1/6 What is prob of picking 1 u and 3 e when four letters picked without replacement from {k: 2, f: 6, u: 2, e: 3, n: 1, b: 1}? 2/1365 Three letters picked without replacement from rsereejrwwfjff. Give prob of picking 1 r, 1 j, and 1 w. 3/91 Two letters picked without replacement from {i: 1, v: 1, z: 1, r: 2, q: 1, d: 1}. Give prob of picking 1 i and 1 q. 1/21 Calculate prob of picking 2 e and 1 i when three letters picked without replacement from {e: 9, i: 3}. 27/55 Calculate prob of picking 3 a and 1 b when four letters picked without replacement from aaaaaaaabaabbaabbba. 143/323 What is prob of picking 1 p and 1 a when two letters picked without replacement from pagdvuuaauad? 2/33 Two letters picked without replacement from {l: 2, o: 1, f: 4}. What is prob of picking 1 l and 1 o? 2/21 What is prob of picking 3 h when three letters picked without replacement from {h: 17, m: 1}? 5/6 Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {r: 1, g: 2, m: 4, j: 2}. 2/9 What is prob of picking 2 j when two letters picked without replacement from {h: 15, j: 3}? 1/51 Three letters picked without replacement from ekickekekaik. What is prob of picking 1 a, 1 k, and 1 i? 1/22 Two letters picked without replacement from {v: 1, j: 12}. What is prob of picking 1 v and 1 j? 2/13 Four letters picked without replacement from lxxllxlxxxlx. What is prob of picking 1 l and 3 x? 35/99 What is prob of picking 1 j and 1 n when two letters picked without replacement from {n: 2, c: 1, d: 1, j: 2, l: 2}? 1/7 Calculate prob of picking 2 t when two letters picked without replacement from {w: 4, m: 2, o: 2, t: 3}. 3/55 Calculate prob of picking 1 i and 2 f when three letters picked without replacement from hnnffif. 3/35 Calculate prob of picking 1 x and 3 j when four letters picked without replacement from djjjsdx. 1/35 What is prob of picking 1 b and 1 y when two letters picked without replacement from {d: 2, e: 1, b: 2, y: 1, s: 1}? 2/21 Four letters picked without replacement from fffacaffffffcff. G
{ "pile_set_name": "DM Mathematics" }
25 = 0, 4*m = -20. What are the prime factors of a? 2, 5 Let v = -3 + 7. Suppose -3*i = -2*w + 6*w + 1, 5*i + 23 = v*w. List the prime factors of w. 2 Suppose -v - 3*v + 5*y + 222 = 0, 0 = v + 2*y - 49. List the prime factors of v. 53 Let v = 53 + -35. Suppose d = -2*d + v. List the prime factors of -3*d/(1 - 3). 3 Suppose 12*k = -248 + 2576. What are the prime factors of k? 2, 97 Let m be (-2)/(0 - 1) + 2. Let a(y) = -8*y - y**2 - 1 - m - 1. What are the prime factors of a(-6)? 2, 3 Let x = -33 - -22. Let f = x - -23. List the prime factors of f. 2, 3 Let w be -1 - 12/(3*-1). Let j(d) = d**2 - d - 4. Let b be j(w). Suppose 5*o - 33 = -3*c, -o + 4*c + 0 + b = 0. List the prime factors of o. 2, 3 Suppose -i = -8 - 3. List the prime factors of i. 11 Let v = 69 - -101. What are the prime factors of v? 2, 5, 17 Let j(s) = -s**2 - 12*s - 6. Let o be -2 + 2 + 6/(-1). Let k be j(o). Suppose -u - 9 = -2*f, 0*f + k = 4*f + 2*u. List the prime factors of f. 2, 3 Let y = 539 - 349. What are the prime factors of y? 2, 5, 19 Suppose 2*s + 50 = 166. List the prime factors of s. 2, 29 Suppose q + 54 = 3*g, 5*g + 5*q - 35 - 75 = 0. Let f = g - -2. What are the prime factors of f? 3, 7 Let p = -40 + 51. List the prime factors of p. 11 Let f = 2 + 32. What are the prime factors of f? 2, 17 Let y(a) = 9*a. What are the prime factors of y(3)? 3 Let f(q) = q - 1 - 5*q + 2*q. What are the prime factors of f(-4)? 7 Suppose 0 = -0*c + 3*c - 42. Let d be (-8)/(-28) - (-66)/c. Suppose -2*l + d*l = 9. List the prime factors of l. 3 Let n(b) = -b - 3. Let q be n(-8). What are the prime factors of 0 - 2 - (-5 - q)? 2 Suppose -2*j + 50 = -78. Suppose 0*w = -4*w + j. List the prime factors of w. 2 Let x(w) = -w**3 - 12*w**2 - 17*w - 15. Let t be x(-11). Suppose n - 9 = -a, 0 = -0*a - 4*a - n + t. List the prime factors of a. 2, 7 Let b be (-2 - -4) + 6/2. Let k(z) = -z**2 + 6*z + 7. List the prime factors of k(b). 2, 3 Suppose 9*q + 89 = 2*g + 4*q, 3*g + 4*q = 99. List the prime factors of g. 37 Let m = -1 + 15. Let j = -6 + m. List the prime factors of j. 2 Let y = 10 + -4. Let t(g) = g + 5. List the prime factors of t(y). 11 Let v = 319 - 202. List the prime factors of v. 3, 13 Suppose 2*b - 132 = -2*b. Suppose k + 25 = 6*k. Suppose -62 - b = -k*j. What are the prime factors of j? 19 Suppose 3*s + j = 9 + 6, -s + 3*j - 5 = 0. Let x(c) = 2*c - 6. Let v be x(s). Suppose 22 = v*u - 0*u. List the prime factors of u. 11 Let g = 3 - -1. Suppose 3*o - 23 = 2*o - 5*v, -4*o + 60 = g*v. List the prime factors of o. 13 Let o be 1/2*(-2 - -2). Suppose o = 2*d - 0*d - 64. List the prime factors of d. 2 Let u = -9 - -11. Suppose a = 5, -5*a = -3*p + u*p - 4. List the prime factors of p. 3, 7 Let f = -16 - -300. What are the prime factors of f? 2, 71 Let b = -3 - -8. Suppose b*y - 44 + 14 = 0. Suppose y = 3*g - 0*g. List the prime factors of g. 2 Suppose -512 - 672 = -8*s. List the prime factors of s. 2, 37 Suppose 0*z - 4*z + 20 = 0. Suppose -43 = -z*l + y, 2*y + 16 + 6 = 2*l. List the prime factors of l. 2 Let d(w) = 4*w**2 + 4*w - 4. Let f be d(-4). Let t be (116/6)/(14/3 + -4). Let b = f - t. What are the prime factors of b? 3, 5 Let t be (1/(-2) - 0)*0. Suppose -2*g + 5*g - 93 = t. List the prime factors of g. 31 Suppose 2*s = 2 + 2. Suppose 3*f - 5*a = 30, -4*a + 1 + s = 3*f. Suppose 4 = 5*u + 14, -f*k = -3*u - 21. List the prime factors of k. 3 Suppose -x - 21 = -3*t + 2*x, 5*x + 23 = t. Let k(p) = 5*p + 23. Let j(z) = 2*z + 8. Let u(b) = 11*j(b) - 4*k(b). What are the prime factors of u(t)? 2 Suppose -3*v = -4*v + 37. What are the prime factors of v? 37 Let m(p) = -3*p**3 + 3*p**2 + 3*p + 1. List the prime factors of m(-3). 2, 5 Let n(b) = 1. Let f(s) = s - 15. Let t(l) = -f(l) - 2*n(l). List the prime factors of t(0). 13 Suppose -w = w. Suppose -2*x + 3*x - 2*u - 54 = w, -3*x + 3*u + 156 = 0. Suppose 2*p + x = 7*p. List the prime factors of p. 2, 5 Let b(c) = c**3 - 7*c**2 + 6*c + 5. List the prime factors of b(7). 47 Suppose -5*h + 24 = h. Suppose 0 = h*y + 3*k - 242 + 84, -2*k = -3*y + 110. What are the prime factors of y? 2, 19 Let z(g) = -g + 12. Let f be (-1)/(-2 - -3) + 4. Suppose 5*v + f*q - 11 = 17, -q = v - 6. What are the prime factors of z(v)? 7 Suppose 0*k + 22 = r + 5*k, -r = 2*k - 22. Suppose 58 = x + r. List the prime factors of x. 2, 3 Let o(b) = b + 29. What are the prime factors of o(0)? 29 Let r(k) = -2*k**2 + 2*k + k**3 - 2*k**3 - 2 - k**3. What are the prime factors of r(-3)? 2, 7 Let p = 82 + 56. List the prime factors of p. 2, 3, 23 List the prime factors of 1 - 3*(-29 + -3). 97 Let c(g) = g**3 - 5*g**2 + g. List the prime factors of c(5). 5 Suppose -p + 41 = -8. What are the prime factors of p? 7 Let g be (0 + 9)*2/3. Let f(u) = -u + 10. Let n be f(g). Suppose n*m - 15 = m. List the prime factors of m. 5 Let y be 49 + 8 - (-3)/1. Suppose -i = 5*q + 2*i + y, 0 = -3*i. What are the prime factors of q/(-8) - 27/(-6)? 2, 3 Suppose -15 = o + 3*u, 0 = -2*o - 3*u + 6 - 21. Suppose 7*s - 4*s - 12 = o. What are the prime factors of s? 2 Let j(d) = -d**2 + 885. Let y be j(0). Let x be y/(-33) + (-4)/22. Let l = -15 - x. What are the prime factors of l? 2, 3 Suppose -277 - 257 = -3*k. What are the prime factors of k? 2, 89 Let i = -18 - -11. Let s = -3 - i. Suppose 5*t + 2*u - 20 = 0, 0*u + 16 = 4*t - s*u. What are the prime factors of t? 2 Suppose 3*m - 4*r = -2*m + 155, 0 = -2*m + 3*r + 69. List the prime factors of m. 3 Let s = 10 - 7. Suppose s*b - 12 = b. What are the prime factors of b? 2, 3 Let k = 50 + -36. Let g = -10 + k. List the prime factors of g. 2 List the prime factors of (-1278)/(-63) + 2/(-7). 2, 5 Let t be (0*3/9)/(-2). Suppose 5*u - 3*a - a = t, -u - 2*a = -14. Suppose u*i = 19 + 1. What are the prime factors of i? 5 Suppose 52 = 6*g - 8. What are the prime factors of (-284)/(-6) - g/(-15)? 2, 3 Let k = -173 - -361. List the prime factors of k. 2, 47 Suppose 2*p = -0*p - 36. What are the prime factors of 10/(-4)*p/15? 3 Suppose -5 = -5*n + 5. Suppose 0*g - n*g = 0. List the prime factors of 2*(8 + 1 - g). 2, 3 Let f(c) = 8*c + 4. Let v be f(-3). What are the prime factors of (-5)/v - (-150)/8? 19 Suppose 0 = 4*z + 156 + 260. What are the prime factors of 3/(-3*4/z)? 2, 13 Suppose 2*b + 2 + 2 = 2*c, 4*c - 5*b = 9. Suppose -h = -c - 7. What are the prime factors of h? 2 Let w(i) = i. Let a(s) = s + 1. Let v be a(4). Let x be w(v). Let d = 9 - x. List the prime factors of d. 2 Let w(x) = -x**3 - 11*x**2 - 11*x + 8. Let h be (18/(-45))/((-1)/(-25)). What are the prime factors of w(h)? 2, 3 Let t be (0*(-3)/9)/1. What are the prime factors of -4*(1 + -2 + t)? 2 Suppose -2*k = -1 - 7. Let w(z) be the first derivative of z**4/4 - 2*z**3/3 - 5*z**2/2 + 6*z - 2. What are the prime factors of w(k)? 2, 3 Suppose -263 = -2*u - 2*j + 5*j, -j = -3*u + 391. What are the prime factors of u? 2, 5, 13 Suppose -6*a + 214 = -914. What are the prime factors of a? 2, 47 Let f(b) = -b**3 + 3*b**2 - 2*b + 3. Let r be f(2). Suppose -4 = -d + r. Suppose -d - 26 = -3*q. What are the prime factors of q? 11 Let l = 13 - 7. Suppose -5*s + l = 4*h - 54, -3*h - 2*s = -52. What are the prime factors of h? 2, 5 Let i(j) = -j**3 + 3*j**2 - 2*j. Let n be i(2). Suppose n = 2*r - 3*m - 16, -6*m = -2*r - 4*m + 12. What are the prime factors of r? 2 Let t(x) = -x**3 + 15*x**2 - x + 18. Let k be t(15). Suppose 0 = y + k - 24. What are the prime factors of y? 3, 7 Let g be 0 + 5/1*8. Suppose 3*n - g = -2*r, -r + 3*r = 3*n + 28. What are the prime factors of r? 17 What are the prime factors of 1 + -5 + 3 + 52? 3, 17 Suppose 5 = -5*i, c - 15 = -2*c - 3*i. Suppose u + 0*u = 2*l - 16, 2*l + 4*u - c = 0. What are the prime factors of l? 7 Let n = 139 - 127. Let r = 8 + -12. Let g = n + r. List the prime factors of g. 2 List the prime factors of -1*((-9)/2 + 4)*108. 2, 3 Let w = 23 - 16. Suppose 0 = -3*f + n + w, n + 5 = 5*f - 4*n. Suppose 0 = 2*q + f*z - 25, 0*z + 6 = 2*z. What are the prime factors of q? 2 Suppose -6*p + 9 + 117 = 0. List the prime factors of p. 3, 7 Let x(k) = k**2 + k + 1. Suppose 4*g = -5*v - 36, -5*v - 4 - 12 = -g. What are the prime factors of x(g)? 13 Let u(z) = -z**3 + 9*z**2 - 8*z + 7. Let g be 56/6*15/5. Suppose 15 + 6 = 2*m - y, -4*y = -m + g. What are the p
{ "pile_set_name": "DM Mathematics" }
without replacement from {e: 12, n: 6}? 1/51 Calculate prob of sequence jz when two letters picked without replacement from {b: 1, i: 1, r: 2, z: 1, j: 4}. 1/18 Calculate prob of sequence ai when two letters picked without replacement from iiawdaaauiu. 6/55 Two letters picked without replacement from {g: 5, q: 3}. Give prob of sequence gq. 15/56 Two letters picked without replacement from {l: 1, k: 3}. Give prob of sequence kl. 1/4 Four letters picked without replacement from {l: 5, w: 1, j: 1, k: 1, v: 2}. What is prob of sequence vwlj? 1/504 What is prob of sequence htdc when four letters picked without replacement from chhthtthtjed? 2/1485 Two letters picked without replacement from {t: 11, a: 3}. What is prob of sequence tt? 55/91 Two letters picked without replacement from qlfyvgv. Give prob of sequence vf. 1/21 What is prob of sequence jh when two letters picked without replacement from cggtghthjgtgtgjg? 1/60 Four letters picked without replacement from {o: 7, b: 1, w: 3, z: 3}. Give prob of sequence ozbw. 3/1144 What is prob of sequence ggg when three letters picked without replacement from gffgg? 1/10 Two letters picked without replacement from cggtggggtgtggttggggg. What is prob of sequence cg? 7/190 Four letters picked without replacement from {a: 2, c: 2, k: 6, x: 8}. What is prob of sequence kaxa? 1/765 What is prob of sequence ss when two letters picked without replacement from occcycbcoyossoccy? 1/136 What is prob of sequence ppp when three letters picked without replacement from {f: 1, p: 11}? 3/4 Three letters picked without replacement from {p: 1, s: 2, c: 7}. What is prob of sequence ccs? 7/60 Calculate prob of sequence zz when two letters picked without replacement from {u: 4, z: 4, w: 1, p: 1}. 2/15 Three letters picked without replacement from ucsuisdccc. Give prob of sequence ssu. 1/180 Three letters picked without replacement from {s: 3, t: 1}. What is prob of sequence sts? 1/4 Calculate prob of sequence cxoj when four letters picked without replacement from jocpejx. 1/420 What is prob of sequence mn when two letters picked without replacement from nmnnnnnn? 1/8 Two letters picked without replacement from qqevzyyqzeqv. What is prob of sequence vq? 2/33 Two letters picked without replacement from epereppjefbe. What is prob of sequence jr? 1/132 What is prob of sequence cpcd when four letters picked without replacement from {d: 3, p: 4, c: 4, y: 4}? 2/455 Calculate prob of sequence oofy when four letters picked without replacement from mrorfymffcmyoyfr. 1/1820 Three letters picked without replacement from fffffff. What is prob of sequence fff? 1 What is prob of sequence xsx when three letters picked without replacement from {s: 1, x: 2, m: 2, i: 1}? 1/60 Two letters picked without replacement from ipfii. What is prob of sequence fi? 3/20 Calculate prob of sequence fxzf when four letters picked without replacement from {f: 4, z: 1, x: 2}. 1/35 Three letters picked without replacement from gggnggnggngnggrgn. Give prob of sequence grn. 11/816 What is prob of sequence kkk when three letters picked without replacement from {n: 1, k: 3}? 1/4 Two letters picked without replacement from {s: 5, j: 3, r: 4}. Give prob of sequence rs. 5/33 What is prob of sequence xnxs when four letters picked without replacement from {m: 1, u: 2, s: 7, x: 3, n: 4, y: 1}? 7/3060 Two letters picked without replacement from gmhuhugfmhmhhmmhgguu. Give prob of sequence hm. 3/38 Three letters picked without replacement from nndddnnnnnnnnn. Give prob of sequence ndn. 55/364 Two letters picked without replacement from ggtgtqgtgqgggwcgg. Give prob of sequence qc. 1/136 Three letters picked without replacement from ccccmcmcc. Give prob of sequence ccc. 5/12 Two letters picked without replacement from eheehueheeueeeeueueh. What is prob of sequence ue? 12/95 Calculate prob of sequence hll when three letters picked without replacement from {h: 3, l: 5}. 5/28 Calculate prob of sequence ak when two letters picked without replacement from qqkaazxqkzqaazkz. 1/20 Calculate prob of sequence wmmm when four letters picked without replacement from {w: 1, m: 12}. 1/13 Calculate prob of sequence dt when two letters picked without replacement from tttdddt. 2/7 Two letters picked without replacement from hxhx. What is prob of sequence xx? 1/6 Three letters picked without replacement from {n: 1, b: 1, l: 1, m: 5, j: 2}. What is prob of sequence mnb? 1/144 Calculate prob of sequence vvrm when four letters picked without replacement from zmvmzrvzzvzrrzk. 1/910 Calculate prob of sequence oh when two letters picked without replacement from {o: 1, h: 1, j: 1, c: 1, t: 2, a: 1}. 1/42 Two letters picked without replacement from {g: 5, o: 3, f: 2, y: 1, a: 1, j: 1}. Give prob of sequence ag. 5/156 Three letters picked without replacement from {b: 5, z: 6, f: 1, a: 2, t: 2, n: 1}. Give prob of sequence bfb. 1/204 Three letters picked without replacement from {k: 3, s: 1, j: 1}. What is prob of sequence kjk? 1/10 What is prob of sequence oja when three letters picked without replacement from {o: 1, a: 5, z: 2, s: 1, j: 1}? 1/144 Calculate prob of sequence anx when three letters picked without replacement from aapnpxpyaynyxnnyxyy. 2/323 Calculate prob of sequence xrrx when four letters picked without replacement from {x: 7, r: 3}. 1/20 What is prob of sequence gg when two letters picked without replacement from {g: 2, w: 2}? 1/6 Four letters picked without replacement from kqqqqqqkqkqqqkqk. What is prob of sequence qqqq? 33/182 Calculate prob of sequence vzvz when four letters picked without replacement from jvjzvz. 1/90 Three letters picked without replacement from uuuuu. Give prob of sequence uuu. 1 What is prob of sequence ycct when four letters picked without replacement from ccqtlcllyqctltlycl? 1/612 Calculate prob of sequence aea when three letters picked without replacement from {p: 1, e: 7, a: 2}. 7/360 Four letters picked without replacement from yxsssyyss. What is prob of sequence xsys? 5/252 Three letters picked without replacement from {o: 8, j: 2, f: 5}. What is prob of sequence jjo? 8/1365 Two letters picked without replacement from mmmeeemmmm. What is prob of sequence em? 7/30 Calculate prob of sequence mj when two letters picked without replacement from {m: 2, j: 6, i: 6, l: 1, b: 2}. 3/68 What is prob of sequence osm when three letters picked without replacement from soseme? 1/60 What is prob of sequence zwz when three letters picked without replacement from {z: 9, w: 1, d: 1, i: 3}? 3/91 Two letters picked without replacement from {z: 1, q: 1, a: 14}. What is prob of sequence az? 7/120 What is prob of sequence exfd when four letters picked without replacement from ndexf? 1/120 Three letters picked without replacement from {f: 4, l: 8, k: 1}. What is prob of sequence flk? 8/429 Calculate prob of sequence moym when four letters picked without replacement from {y: 2, m: 5, i: 2, o: 4}. 4/429 Four letters picked without replacement from wwwwwwwwww. Give prob of sequence wwww. 1 Two letters picked without replacement from {f: 1, t: 1, x: 4, h: 3, g: 2}. What is prob of sequence xg? 4/55 Three letters picked without replacement from ztzztzztzztztttttzt. What is prob of sequence ztz? 40/323 Four letters picked without replacement from {d: 2, x: 2, q: 1, s: 6}. Give prob of sequence sqdx. 1/330 Calculate prob of sequence eeq when three letters picked without replacement from {t: 4, q: 3, e: 7}. 3/52 What is prob of sequence bbbg when four letters picked without replacement from gggbbgbbgg? 1/35 Calculate prob of sequence mmp when three letters picked without replacement from mpmpm. 1/5 Two letters picked without replacement from zxxxxzxzxzzx. What is prob of sequence zz? 5/33 Four letters picked without replacement from {i: 1, s: 2, d: 4, e: 1, c: 2}. What is prob of sequence dece? 0 Three letters picked without replacement from {z: 7, q: 2, x: 1}. Give prob of sequence qqz. 7/360 Four letters picked without replacement from iiivqvvvqqvqiqvsiviq. Give prob of sequence viqq. 7/646 What is prob of sequence fi when two letters picked without replacement from iwiwifiwawpwinni? 1/40 Calculate prob of sequence ll when two letters picked without replacement from {l: 11, m: 2}. 5
{ "pile_set_name": "DM Mathematics" }
(s) = -373*s - 11564. Let g be u(-31). Let r(t) = -27*t - 3. Give r(g). 24 Let h(z) be the third derivative of 0*z + 1/12*z**4 + 0 - 106*z**2 - 5/3*z**3. Calculate h(6). 2 Let n(y) = -3*y + 5. Suppose 0 = -15*p + 13*p + 16. Suppose p = -3*z - 6*r + 4*r, 0 = -4*r - 16. Give n(z). 5 Let u(b) = 131642 - 10*b + 0*b**2 - 131632 + b**2. Determine u(9). 1 Let f(q) = 7*q**2 - 9*q + 5. Let p(s) = 5*s**2 - 7*s + 4. Let j(h) = -4*f(h) + 5*p(h). Let y be 2*(27/(-6) + 3). Let u be -1*1*y/3. Give j(u). -2 Let r(d) = 142*d**3 - 145*d**3 + d + 18*d**2 - 17*d**2 + 7. What is r(2)? -11 Let c be (((-1200)/(-135))/20)/(1/(27/(-6))). Let h(v) = -v. Let i(y) = -4*y**2 + 3*y + 2. Let x(m) = -6*h(m) - i(m). Give x(c). 8 Let w(x) = 20*x - 3. Let u = -5435 - -5435. Determine w(u). -3 Let m = 11801 - 11806. Let k(b) = -4*b**2 - 7*b - 11. Determine k(m). -76 Suppose 22*v + 142 + 504 = 382. Let t(j) be the third derivative of j**5/60 + j**4/2 + j**3/2 + j**2. Determine t(v). 3 Suppose 22*b = 12*b. Suppose 5*w - 5*r + 4*r = 26, -4*w - 2*r + 32 = b. Let t(k) = -3 + 3*k + 4*k + 14 - 8*k. Calculate t(w). 5 Let y(u) be the second derivative of -u**5/10 - 5*u**4/4 + u**3 - 7*u**2 + 772*u. Give y(-8). 2 Let n(g) = -56*g - 67*g + 115*g + 31*g**2 - 35*g**2 - g**3 - 55. Determine n(-5). 10 Let w(l) be the third derivative of l**5/60 - 5*l**4/8 + 3*l**3/2 + 1241*l**2. Give w(5). -41 Let n(v) = v**3 - 13*v**2 + 3*v - 22. Let o be n(13). Let k = 32 - o. Suppose 5*g + 0 = -k. Let t(w) = -w - 4. Give t(g). -1 Let u(c) = 9*c**2 + 102*c - 89. Let v(g) = 5*g**2 + 54*g - 45. Let b(h) = 6*u(h) - 11*v(h). What is b(15)? 6 Let b(p) = 3 + 2 + 1 - p**2 + 1260*p - 646*p - 627*p. Calculate b(-16). -42 Let v(p) = -3*p. Let t = 43 - 40. Suppose -2*o - b = -9 - 16, o + t*b = 5. Let x = o + -17. What is v(x)? 9 Let f(z) = -1 + 5*z - z - 3*z. Suppose 5*v - 22 = 3*r, -5*v + 14 = -11*r + 10*r. Determine f(v). 1 Let v = -19 + 19. Suppose 0 = 5*r + 11 - 21. Let c(g) = -g**r + 19 - 14 - g - 12. Determine c(v). -7 Let r be ((-3384)/(-1316))/(2/14). Let g(b) = -b**2 + 21*b - 21. Determine g(r). 33 Let c(b) = -3*b**3 - 6*b**2 + 5*b - 8 + 4*b**3 - b**2. Let d be 1608/10184 - (-222)/38. What is c(d)? -14 Suppose -s - 8 = 4*d - 102, 0 = 5*s + d - 394. Let f = -79 + s. Let r be -3*(f/(-21) - 40/(-140)). Let v(o) = 3*o - 1. Calculate v(r). -4 Let j(m) = -38*m - 90. Let f(o) = -4*o + 3. Let s(t) = -2*f(t) + j(t). Determine s(-3). -6 Let k(m) = 74*m**2 - 21 - 153*m**2 + 80*m**2. Let z be k(4). Let g(y) = -y + 2 + 3 + 7*y - y**3 - 4*y**2. What is g(z)? 0 Suppose 0 = -14*b + 16*b - 40*b + 190. Let m(r) be the first derivative of 1/2*r**2 - 15 - b*r + 1/3*r**3. Calculate m(-4). 7 Let s(h) = -19*h - 10*h + 20*h - h**2 - 10 - 5. Calculate s(-9). -15 Let b(o) = -14*o - 4. Let x(g) = -7*g - 2. Let n = 20 - 9. Let m(p) = n*x(p) - 6*b(p). Suppose -10 = -3*f + 3*a + 5, 4*a + 12 = 0. What is m(f)? 16 Let q(k) = -k**3 - 5*k**2 + 5*k + 3. Let h be 78/(-819) + 418/(-21). Let x be (48/(-80))/((-2)/h). What is q(x)? 9 Let q(g) = 61*g - 695. Let o(h) = 10*h - 111. Let i(b) = -38*o(b) + 6*q(b). Calculate i(5). -22 Let s(o) = 35*o - 3. Let p(r) = -2*r**2 - 38*r - 179. Let a be p(-10). Give s(a). 32 Let m(j) = 28*j**3 - 6*j - 2*j + 3*j**2 + 27*j**3 - 10 - 54*j**3. Give m(-4). 6 Let z(t) = t**2 + 42*t + 338. Let h be z(-8). Let c(l) = -4 + 63*l + h*l - 134*l + 5. Calculate c(2). -9 Suppose 0 = -33*d + 34*d - 2. Let r(u) = -3*u**2 + 1430*u - 1431*u + 6 - 2*u**d + u**3. Determine r(5). 1 Suppose 4*a = -5*w - 67, -2*a - 25*w + 30*w = 11. Let l(y) = 3*y - 27. Calculate l(a). -66 Let p(s) be the second derivative of 59*s**3/3 - 351*s**2 + 53*s. Calculate p(6). 6 Let m(b) = 19*b**2 + 170*b - 8. Let x be m(-9). Let a be 1 - x/(-4) - (-2261)/(-532). Let k(i) = 1 + i**2 + i - 3 + 0*i**2. Determine k(a). 4 Suppose 0 = 7*a - 26*a + 38. Let z(f) = 3 - f**a - 2 + 4 - 3*f - 11 + 6*f. Give z(4). -10 Let v(c) = 38*c + 9. Let l(i) = 21*i + 5. Let d(j) = -5*l(j) + 2*v(j). Determine d(-2). 51 Let z(a) = -4*a**2 + 40*a + 3. Suppose -3*b - 48 = -3*p, 0 = -75*p + 73*p - 2*b + 8. What is z(p)? 3 Let w(g) be the first derivative of 0*g**2 + 1/3*g**3 - 54 - 6*g. Give w(0). -6 Let d(a) be the second derivative of -a**6/360 + a**5/10 - a**4/8 + 7*a**3/6 - a**2/2 + 37*a. Let j(n) be the second derivative of d(n). What is j(9)? 24 Suppose -18 = -3*s + m - 6*m, 5*s - 2*m - 30 = 0. Suppose 16*y + s = 17*y + o, 0 = y - 4*o + 19. Let t(z) = 8*z**2 - z. What is t(y)? 7 Let y(a) be the first derivative of a**4/4 + 10*a**3/3 - a**2/2 - 7*a - 10. Suppose j = -4*m - 45, 0 = 3*j + 15 - 0. Calculate y(m). 3 Let u be 351/54 + 1 + (-12)/8. Let z(h) = h - 1. Determine z(u). 5 Let k(x) = -x + 5. Let m be k(5). Let i(h) = 5 + m - h - 6. Let u(l) = 9*l - 168. Let b be u(19). Determine i(b). -4 Let f(h) = -h - 22. Let s be (-408)/(-1496) + (-80)/11. Give f(s). -15 Let j(n) = -5*n**2 - 4*n - 3. Suppose 0 = u - 3*u - 8. Let z(y) = -14*y**2 - 12*y - 8. Let l(v) = u*z(v) + 11*j(v). What is l(-5)? 4 Let c(w) = -25*w - 1. Let p(y) be the third derivative of -3*y**4/4 - 53*y**3/6 - 159*y**2. Let h be p(-3). Determine c(h). -26 Let f(u) = 3*u - 3. Let z(b) = 39 - 50 + 5*b + 5. Let l(j) = 13*f(j) - 6*z(j). Determine l(2). 15 Suppose c + 5*m - 12 = 0, -44 = 3*c - 3*m - 62. Let h = -4 - -21. Let u(x) = -h*x + 18*x + c + 3. Calculate u(7). 17 Suppose -1093 + 8111 = 22*m. Let j = m + -327. Let a(w) = w - 6. Let z(x) = -6*x + 30. Let v(k) = -11*a(k) - 2*z(k). Determine v(j). -2 Let b(o) = -180 - 9*o**2 - 159 + 8*o**2 + 317 - 6*o. Calculate b(-3). -13 Let y(r) = 4*r**2 + 3*r + 4. Let c(g) be the first derivative of g**3 + 3*g**2/2 + 3*g + 96. Let l(n) = 6*c(n) - 5*y(n). Give l(2). -4 Let k(t) = 2*t**3 - 2*t**2 - 1. Let a be (-16)/(-5) + (-8)/40. Suppose 5*q = -3*r - 12, 2*r - 5*r - q = 12. Let z be 6*r/(-36)*a. Determine k(z). 7 Let w(i) = -i - 7. Let d(j) be the first derivative of -j**3/3 - 2*j**2 + 52. Let o be d(-6). Determine w(o). 5 Let c(w) = w**3 - 9*w**2 + 13*w + 5. Suppose 2*s + 32 = 4*h, 9*h - 2*s + 10 = 11*h. What is c(h)? -2 Let n(l) = 7*l**3 - 5*l**2 + 87*l + 87. Let z be n(-1). Let k(c) = -15*c - 155. Determine k(z). 25 Let l(j) be the first derivative of j**4/4 - 7*j**3/6 - 255*j**2/2 - 74. Let n(m) be the second derivative of l(m). Calculate n(0). -7 Let b(o) = 4*o - 82. Suppose -7*h - 5*h = -4*h - 176. Give b(h). 6 Let n(p) = -5*p**2 - 37*p - 11. Let m be n(-7). Let i(d) = -2*d + 2*d + 32 - 34 + d + m*d. Give i(-1). -6 Let w = 4886 - 4899. Let b(m) = -m**3 - 13*m**2 - m + 8. Determine b(w). 21 Suppose -35 + 409 = -2*t. Let j = t + 192. Let m(o) = o**3 - 5*o**2 - 3*o + 3. What is m(j)? -12 Suppose 14 = -22*n + 80. Let t(r) = n*r**2 - 4*r + 6 - 24 + 19. Determine t(2). 5 Suppose -2*z - 5 = -5*u, -z - 4*u = -3*z - 2. Suppose 9*w - z = 4*w. Suppose 0 = 4*q + w + 3. Let h(c) = -6*c. What is h(q)? 6 Suppose 23*v = 30 + 85. Let n(o) be the third derivative of -o**7/5040 - o**6/360 - 3*o**5/20 - 2*o**2. Let q(g) be the third derivative of n(g). What is q(v)? -7 Suppose 0 = -5*k + 5*w - 15, 3*w - 3 = -3*k + 5*k. Let o(f) = -13*f**2 - 5*f + 0*f - 122 + 62 + 61 + 5*f**2 + 7*f**2. Give o(k). -5 Let p(w) = -5*w**2 + 12*w - 17. Let c(l) = -11*l**2 + 25*l - 34. Let z(j) = 3*c(j) - 7*p(j). What is z(8)? 73 Let j(a) be the first derivative of 3*a**4 + a**3/3 - a + 426. Suppose 5*h + 2*d - 8 = -3, -h = 3*d - 14. Give j(h). -12 Let n(s) = -s**3 + 2*s**2 + 5*s - 13. Let u be n(-3). Let g(t) = u*t**3 - 14*t + 14*t + 8*t**2 - 7*t**2. Determine g(-1). -16 Let p(k) = -k**3 - 3*k**2 - 3*k - 2. Suppose 4*m - 27 + 67 = -2*a, -2*a - 39 = 3*m. Let r(c) = 16*c + 285. Let u be r(a). Give p(u). 7 Let h(g) = 23*g**2 - 98*g + 177. Let c(n) = -7*n**2 + 33*n - 60. Let d(b) = 10*c(b) + 3*h(b). What is d(2)? -1 Let r(a) be the third derivative of -a**5/60 + a**4/4 + 5*a**3/6 + 22*a**2 - 20*a. Give r(-3). -22 Let m(i) = i**3 + 16*i**2 + 16*i + 30. Let y be m(-14). Let o = -198 + y. Let j(z) = 2*z**2 - z + 2. Calculate j(o). 2 Suppose -17*d + 15*d = -410. Let b(t) = -d*t + 101*t + 7 + 0 + 98*t. Calculate b(5). -23 Let o(d) = d**3 + 15*d**2 + 25*d + 1. Suppose -21*m - 64 - 266 = -57. Give o(m). 14 Let q(n) = -5*n**2 - n. Let l(r) = 20*r**3 - 10*r**2 + 5*r + 7. Let u(p) = -l(p) + 2*q(p). Calculate u(-1). 20 Let v(b)
{ "pile_set_name": "DM Mathematics" }
345/(-55). Let h = v + -374. Is h a prime number? False Let y be 2/(4 - 15/4). Suppose s - y*s = 28. Is ((-15)/6)/(s/1208) composite? True Suppose -5*d + 87 = 3*l, 4*d = -l - 0*d + 36. Suppose 13 - 308 = -5*q. Let y = q - l. Is y a prime number? False Let f = 19 - 15. Suppose 0 = f*m - 7*m + 12. Suppose -m*d = -9*d + 35. Is d a composite number? False Let p(x) = 11*x. Let v(h) = -22*h - 1. Let f(m) = -5*p(m) - 3*v(m). Let n be f(4). Suppose 2*c - 2*o - 44 = 0, o + n = 3*c - c. Is c a composite number? True Suppose 2908 = 4*i + 4*l, -13*i + 18*i - l = 3611. Is i prime? False Let r = 48 + -48. Suppose -6*t + 1380 + 14274 = r. Is t composite? False Let i = 3 - 2. Let g be ((-1016)/20)/(i/(-5)). Suppose -2*n - 4*w = -g, 0 = n - 2*w - 178 + 47. Is n composite? True Let n(s) = 6*s**3 + 5*s**2 + 2*s + 13. Let c(p) = -p**3 + p**2 - p - 1. Let z(w) = 5*c(w) + n(w). Is z(-10) a composite number? True Let a be 5*4*4/16. Suppose -3*b - b + 5*j + 13 = 0, -5*b + 5 = a*j. Suppose -4*n + 0*x - b*x = -532, 512 = 4*n - 3*x. Is n a prime number? True Let t be 1/(-5) - (-26)/5. Suppose t*b - b - 1196 = 0. Suppose 4*h + m = b - 29, 3*h - 205 = -2*m. Is h prime? True Suppose -j = -5*p + 2852, 3*j + 11393 = -j + 5*p. Is j/(-7) + 2/7 a composite number? True Let z = -970 - -1758. Suppose 3*c - 451 = z. Is c a prime number? False Let u(v) = 270*v**3 - 7*v**2 + 7*v - 7. Is u(3) a composite number? True Let k be 2/(-10) + 88/(-10). Let n = k - 0. Is (-2009)/n + (-18)/81 prime? True Let a be 5*7/(35/(-4)). Let o be (6/a)/((-2)/4). Suppose -o*h = -79 - 890. Is h composite? True Let v = -5509 - -8030. Is v a composite number? False Let n be 1 - (-7)/(28/(-16)). Let z be n/(-4)*(-3 + 127). Suppose -4*p = -z - 91. Is p prime? False Let t(c) = 970*c + 121. Is t(5) composite? True Let a be 9/(-21) + 354/42. Let o(l) = -a*l - 1 + 31*l**2 - 8*l**2 + 5*l. Is o(-2) a prime number? True Let v = -4 + 6. Suppose -j - v*j + 230 = 2*g, -5*g + 302 = 4*j. Suppose 5*t + j = 413. Is t a prime number? True Let c = -7 + 13. Suppose -10*a = -c*a + 708. Let p = a - -380. Is p a prime number? False Suppose 12 = 4*h - 3*z - 2, -4*h - z + 6 = 0. Let f = 0 - -1. Is 0 - (h - 37)*f composite? True Let w be 7/(-35) - 7428/10. Is w*2/(-2 + 0) prime? True Let z be 10/(-55) - (-72)/33. Suppose 4*y = z*y. Is (-53)/(1 - (2 - y)) a prime number? True Let t = 518 - 225. Is t composite? False Suppose -10 = 3*v - 1. Is 164/52 + v + (-3729)/(-13) composite? True Is 10 + (-24968)/(-4)*2 composite? True Is 1/(4/24)*(-1931)/(-6) a composite number? False Let r be 2 - (0 - -2) - -9. Suppose 4*q + 1595 = r*q. Is q a prime number? False Let j(h) = 21*h + 1. Let p(d) be the first derivative of 105*d**2/2 + 5*d + 2. Let x(s) = 11*j(s) - 2*p(s). Is x(2) prime? True Let w = -13281 + 21379. Is w a prime number? False Suppose -3*w = -5*w + 1760. Let q be 9*10/(-15)*(-190)/4. Suppose 0 = -j + 2*y + q, -3*j - 4*y = -5*y - w. Is j composite? True Let i(m) = m**2 + 16*m + 5. Let f be i(-14). Let p be f*((-3)/(-1) + -4). Suppose h = p + 228. Is h a prime number? True Let i = 168 + -253. Let k = i + 208. Is k a prime number? False Let c be (-10)/(-3)*(-6)/5. Is 847/(-22)*c/7 a prime number? False Let j be 4/(-14) - 480/(-112). Let b be (j/((-16)/28))/(-1). Suppose -p = -b*p + 570. Is p a prime number? False Let h(c) = -c**3 - 9*c**2 - 8*c + 34. Is h(-9) prime? False Let u be 6/(-2) - -3 - -5. Let z(b) = 2 + 13 - 2*b + 0*b + b**3 - 2*b**3 - u*b**2. Is z(-7) a composite number? False Let g(q) = -12 - 54*q - 6 + 15. Let l be g(1). Let x = 103 + l. Is x a prime number? False Suppose h - 6 - 5 = p, 3*h - 4*p = 32. Is h/18*6147/6 composite? False Suppose 34*h - 2715320 = -944566. Is h a composite number? False Let n = 13366 - 9303. Is n a composite number? True Let x be (-4)/1 - (-6 - 2). Let d be ((-4)/(-5))/(x/20). Let y(i) = 64*i - 3. Is y(d) a composite number? True Suppose 2 = s - 4. Suppose 2*b + 14564 = s*b. Is b a composite number? True Let w(s) = 2*s**2 - 4*s - 9. Let b(l) = l**2 - 2*l - 4. Let g(p) = -9*b(p) + 4*w(p). Let x be g(1). Is (-109)/x*-1*1 a prime number? True Suppose -6*t - 2511 = -i, -2*i + 14*t + 5030 = 10*t. Is i prime? False Let d(h) = -16*h**3 + 34*h**2 - 19*h + 34. Let r(w) = 7*w**2 - 36*w - 3*w**3 + 7 + 0*w**2 + 32*w. Let a(k) = -2*d(k) + 11*r(k). Is a(7) composite? True Suppose 8*a = -10228 - 1588. Let l = -692 - a. Is l a prime number? False Suppose 8 = -5*t - 4*y, 3*y = -t - 5 - 1. Suppose t = 2*d - 362 - 992. Is d prime? True Let t be 1548/((-12)/(-3)) - -2. Let u = 14 + -32. Let q = t + u. Is q prime? False Let d = -2 - 2. Let j be 1/d - 3819/(-12). Suppose 0 = 5*o - r - 548, -4*o + 7*o = -3*r + j. Is o prime? True Let n(r) = -11*r - 15. Let a(t) = -33*t - 44. Let j(s) = 6*a(s) - 17*n(s). Let k be -6*(3 - 5/3). Is j(k) a prime number? True Is (1 - 2)*(7 + -10 + -9598) a prime number? True Suppose -3*l = -1 - 23. Let m = 13 - l. Let d(o) = 12*o - 14. Is d(m) composite? True Is ((-100918)/(-10))/((-4)/(-80)*4) prime? True Let b = 648 + -37. Is b a composite number? True Let t(w) = w + 9. Let z be t(-3). Let j(u) = 21*u**2 - 7*u - 8. Is j(z) a prime number? False Suppose 6 = -4*h + 18. Suppose -3*o + 5*o = -5*r + 1890, -5*o + 1115 = h*r. Suppose -4*k - 4*a = -0*k - r, 5*k - 477 = -4*a. Is k a prime number? True Suppose 3*g - 12329 = -2*l, -7*l + 5*g = -10*l + 18494. Is l a prime number? True Let a be -2 + 0/(-1) + (-12)/(-3). Suppose s - 664 = -3*b, b - 4*s = a*b - 225. Is b a composite number? True Is ((-8)/(-20))/(7/40985) composite? True Let v(j) = -j. Let y(x) = 32*x - 9. Let g(k) = -2*v(k) + y(k). Let w = 8 + 2. Is g(w) a prime number? True Suppose -3*j + y = -16820 - 519, -2*j - 5*y + 11548 = 0. Is j a prime number? True Suppose 18*w - 267980 - 86494 = 0. Is w prime? False Suppose 4*n - 2*n - t = 5, -n = 2*t - 15. Let b = n - 2. Suppose -w + 562 = 5*l, -b + 0 = w. Is l composite? False Let c(t) be the first derivative of 29*t**3/3 - 2*t**2 + 13*t - 23. Is c(-8) a prime number? True Let a be 12/(-3) - (1 - 7). Let u(i) = 80*i + 1. Is u(a) a prime number? False Suppose 4*c = 11 + 13. Let m(r) = r**3 - 9*r**2 - r + 4. Let u be m(c). Is (3/6)/((-5)/u) a prime number? True Suppose 30*j = 5*j + 19100. Let a(i) = -93*i**2 - 2*i - 1. Let g be a(-2). Let y = j + g. Is y a composite number? True Suppose 76 + 281 = 3*g. Suppose g = k - 104. Is k prime? True Let r = 62742 + -28159. Is r a prime number? True Suppose 7*y = 3*y - 120. Let r = 79 + y. Is r composite? True Suppose -5*n = 5*t - 8700, 2*n - 5*t - 1934 - 1511 = 0. Is n prime? False Suppose -n = -5 + 2. Let f = -5 - -10. Suppose f*c - 655 = -3*g, n*c - 5*g = c + 262. Is c composite? False Let d = -12805 - -18647. Suppose 7*t = d - 263. Is t prime? True Suppose -8 = -5*y + 3*y. Let m(v) = -30*v - 9. Let l(u) = u. Let j(q) = 3*l(q) - m(q). Is j(y) prime? False Let p(w) = 21*w**2 + 2*w + 63. Is p(-14) prime? False Is (-1)/((-15)/(-5)*(-3)/51309) prime? True Let a = -23 + 25. Suppose -y - 1 = 3, 4*y = a*p + 28. Is p/(44/(-12) - -3) composite? True Suppose -8*g - 2*a - 81 = -9*g, -g - 2*a + 97 = 0. Is g composite? False Suppose 4*i + 3 = f - 50, -4*f + 5*i = -179. Let h be f - -1*(2 - -1). Let b = h - 23. Is b a prime number? False Let s be 1/(-2) + (-1)/(-4)*-6. Let g = -62 + 31. Is (g/2)/(s/4) prime? True Let x = 2016 + -453. Is x composite? True Is 1*(-7)/((-35)/24995) composite? False Let k be -228*((-3)/1)/((-10)/(-45)). Let y = k - -3727. Is y composite? True Let m(l) = -5*l**2 - 2*l**3 - 27 + 2*l**2 - 17*l - 5*l**2 + 2*l**2. Is m(-10) a composite number? False Let y be -7 + -1 - (3 + -2). Let p(s) = -s - 5. Let w be p(y). Suppose 5*m = w*m + 3. Is m composite? False Let c be ((-125)/1)/((-4)/8). Suppose -4*g + 5 = 3*k - 190, 2*g = -4*k + c. Suppose 0 = 3*x + 2*v - 219, -4*v + k - 333 = -4*x. Is x a prime number? True Let n(z) = -25*z - 29. Let t be n(-13). Let y = t + 233. Is y prime? False Let a = 179 + -77. Suppose -z - 4*z = -2*z. Suppose z*t + 2*t = a. Is t prime? False Let i(t) be the third derivative of -t**6/60 - t**5/5 - t**4/8 + 7*t**3/6 + 8*t**2. Is i(-8) composite? True Let d(h) = 70*h**2 - 14*h - 109. Is d(-19) a prime number? False Suppose -118 = 2*a - 4*a. Suppose a = 3*l - 190. Is l composite? False Let a(b) = -10*b - 7 - 295*b -
{ "pile_set_name": "DM Mathematics" }
ve m(w(s)). -2*s + 10 Suppose -2*z = -3*q - 22, 5*z + 3*q - 21 = 2*q. Let d(j) = z*j - 3*j + 0*j. Let c(s) = 3*s - 5*s + 4*s - 3*s. Calculate c(d(u)). -2*u Let z(v) = -6*v. Let q(u) = 3*u - 5264. Determine q(z(m)). -18*m - 5264 Let h(o) = -2*o. Let s(d) be the second derivative of d**3/3 - 71*d**2/2 + 666*d. Calculate h(s(w)). -4*w + 142 Let b(i) = -5*i. Let d(o) be the third derivative of 17*o**4/12 + 412*o**2. Calculate b(d(t)). -170*t Let z(l) = 170*l**2. Let u(v) = -7*v**2 + 5998 + 5*v**2 - 5998. What is z(u(m))? 680*m**4 Let c(x) = 32*x. Let v(j) = -31*j. Let q(u) = -2*c(u) - 3*v(u). Let a(z) = 47*z**2 - 22*z**2 - 26*z**2. Determine a(q(s)). -841*s**2 Let o(h) be the first derivative of 18*h**2 + 5. Let i(y) = y - 1. Let m(t) = -t + 2. Let r(p) = -4*i(p) - 2*m(p). Give o(r(b)). -72*b Let j(w) = -22*w. Let t(s) = 24514*s**2. Give t(j(i)). 11864776*i**2 Let v(d) be the second derivative of d**4/4 + 2*d + 24. Let t(l) = 123*l - 2. Give t(v(g)). 369*g**2 - 2 Let k(s) = -965501*s. Let u(o) = -2*o**2. Determine u(k(l)). -1864384362002*l**2 Suppose -6*z - 25 = -7. Let f(h) = -10*h**2 - 8*h - 8. Let d(j) = -3*j**2 - 3*j - 3. Let k(a) = z*f(a) + 8*d(a). Let p(l) = l. Give k(p(v)). 6*v**2 Let o(c) = 97*c**2 + 3. Let j(b) be the first derivative of -b**3/3 - 66. Determine j(o(f)). -9409*f**4 - 582*f**2 - 9 Let u(j) = -4*j - 9. Let d(a) = a + 2. Let w(n) = 9*d(n) + 2*u(n). Let p(m) be the first derivative of -10*m**3/3 + 237. Give w(p(f)). -10*f**2 Let r(a) = -69*a**2. Let l(c) = -2*c + 2*c + 188*c**2 - 189*c**2. What is r(l(z))? -69*z**4 Let s(d) be the third derivative of -d**5/20 - 2*d**2. Let w(r) = -36*r. What is s(w(k))? -3888*k**2 Let m(h) = -8*h**2. Let b(w) = 2994*w**2. Calculate b(m(c)). 191616*c**4 Let s be 2 - (-2 + 2 + 2). Let m(r) = 3*r - r + s*r. Let b(g) = -10*g**2 + 10*g + 5. Let c(h) = -h**2 + 2*h + 1. Let l(n) = b(n) - 5*c(n). Calculate l(m(i)). -20*i**2 Let g(u) = 3*u**2 + 2*u. Let d(v) = -16*v**2 - 11*v. Let h(l) = -2*d(l) - 11*g(l). Let t(p) = -2*p**2 - 39. Calculate h(t(a)). -4*a**4 - 156*a**2 - 1521 Let i(c) = 10*c + 11*c**2 + 13*c**2 - 10*c. Let g(b) = 2*b**2 + 3*b. Let d(t) = 3*t**2 + 4*t. Let l(n) = 3*d(n) - 4*g(n). Calculate l(i(m)). 576*m**4 Let c(n) = -10*n. Let j(u) = -6*u**2 - 11*u - 11. Let h(z) = -z**2 - 2*z - 2. Let y(x) = 33*h(x) - 6*j(x). What is y(c(s))? 300*s**2 Let x(w) = 307*w**2 - 81. Let k(n) = -n**2. Calculate x(k(i)). 307*i**4 - 81 Let i(k) be the first derivative of k**2 + k**2 - 19 + k**2 - 4*k**2. Let g(o) = 7*o. What is i(g(l))? -14*l Let z(o) = -13*o. Suppose 13*i = 3 + 23. Let u(d) = 15*d**2 - 25*d**i + 14*d**2. What is u(z(b))? 676*b**2 Let p(a) = 2*a + 2*a**2 - 2*a. Let c(m) = 193709*m - 387418*m + 193704*m. Determine c(p(d)). -10*d**2 Let x(k) = 7*k. Let a(r) be the second derivative of r**6/180 - r**3/3 + 2*r**2 - 17*r. Let g(t) be the second derivative of a(t). What is x(g(q))? 14*q**2 Let f(k) be the first derivative of 0*k**2 + 23 + 7/3*k**3 + 0*k. Let m(b) = -b. Calculate m(f(d)). -7*d**2 Let d(a) = 4*a. Let x = 1076 + -1076. Let k(f) be the third derivative of 3*f**2 - 1/20*f**5 + x*f + 0 + 0*f**4 + 0*f**3. What is d(k(u))? -12*u**2 Let m(t) be the third derivative of -11*t**4/24 + 27*t**2. Let b(h) be the second derivative of -h**3/3 + 8*h. What is b(m(c))? 22*c Let q(g) be the first derivative of -2*g**3/3 + 88. Let p(b) = 3*b**2 - 6*b. Give p(q(r)). 12*r**4 + 12*r**2 Let x(q) = -2*q. Let v(d) = d. Let j(z) = -v(z) - x(z). Let t(o) = o + 8. Let s be t(-6). Let c(l) = 9*l**s + 5*l**2 + 3*l**2 + 4*l**2. Calculate j(c(f)). 21*f**2 Let j(i) = -3*i**2. Let h(s) = -7*s + 30. Let c(w) = 16*w - 52. Let n(r) = 2*c(r) + 5*h(r). What is n(j(x))? 9*x**2 + 46 Let y(u) be the second derivative of 1/4*u**4 + 0 + 0*u**2 - 7*u + 0*u**3. Let a(q) = -3*q. Let i(h) = -h. Let x(b) = a(b) - 6*i(b). Calculate y(x(l)). 27*l**2 Let y(j) = -2*j. Let q(m) be the third derivative of -19*m**4/12 + 66*m**2. What is q(y(u))? 76*u Suppose 3*k - 3 = -5*s, 5*s + 21 = -3*k + 4*k. Let l(q) = 22*q + 4*q**2 - k*q**2 - 23*q. Let g(m) = m**2. Calculate l(g(r)). -2*r**4 - r**2 Let x(b) = -234 - 244 + 478 - 411*b**2. Let w(h) = h. Determine w(x(s)). -411*s**2 Let v(x) = x**2. Let q be (0 - 3 - -2) + (-10 - -13). Let w(s) = s - 21*s**2 + 7*s**q - s. Calculate v(w(u)). 196*u**4 Let l(w) be the third derivative of w**4/24 + 2*w**2 + 68*w. Let d(o) = -2*o - 240. Give d(l(n)). -2*n - 240 Let g(a) = a. Let x(p) be the second derivative of -p**4/6 - 5*p**3/6 + 48*p. Let o(n) = -10*g(n) - 2*x(n). Let h(r) = -25*r. Determine o(h(v)). 2500*v**2 Let y(r) = 2*r - 48. Let m(o) = 73*o + 5. Give y(m(a)). 146*a - 38 Let o(l) = 3244*l. Let x(r) = 68*r**2 - 1. Determine x(o(a)). 715600448*a**2 - 1 Let g(d) = -2*d**2. Let u(a) = 57240*a - 57240*a - 256*a**2. Give u(g(q)). -1024*q**4 Let j(u) = 5*u**2. Let a(s) = 2*s**3 - s + 1. Let h be a(1). Let k(z) = z + 4*z - h*z. What is k(j(b))? 15*b**2 Let x = -638 + 638. Let b(t) be the second derivative of x*t**2 - 1/6*t**3 + 0 + 6*t. Let v(h) = -3*h**2. Give b(v(o)). 3*o**2 Let g(a) = 4*a. Let i(d) be the second derivative of -98*d**3/3 - d**2/2 + 664*d. What is g(i(l))? -784*l - 4 Let p(k) = 52*k**2 - 68*k + 17. Let o(c) = -17*c**2 + 24*c - 6. Let t(s) = -17*o(s) - 6*p(s). Let r(a) = 7*a**2. What is r(t(b))? 3703*b**4 Suppose 36 = 16*b - 28. Suppose 0 = -3*i + 3*s - 9, 4*i + 4 = 2*s + 2. Let q(t) = -2*t + t + b*t + i*t. Let u(l) = 3*l**2. Determine u(q(k)). 75*k**2 Let c(u) = -291*u**2 - 1. Let b(k) = -47*k - 1. Give c(b(t)). -642819*t**2 - 27354*t - 292 Let c(t) = -2*t**2. Suppose -11 = -2*b - 5. Suppose b*x + 2*x = 0. Let v(i) = 0*i + x*i + 2*i. Determine c(v(g)). -8*g**2 Let c(t) = 37*t**2 - 2*t. Let x(k) = -2*k + 2557. What is x(c(p))? -74*p**2 + 4*p + 2557 Let m(s) = 16*s**2. Let z(d) = -402*d**2 + 1. Determine z(m(j)). -102912*j**4 + 1 Let f(p) = -p. Let y(q) = -2*q**2 + 5*q. Let u(z) = -3*z**2 + 9*z. Suppose -7*x - 24 = 11. Let b(m) = x*u(m) + 9*y(m). What is f(b(g))? 3*g**2 Let q(j) = 1491*j + 1484*j - 2971*j. Let a(c) = 55*c. Determine q(a(f)). 220*f Let a(w) = w**2 + 9*w + 5. Let s be a(-14). Let y(b) = -157*b + s*b + 93*b. Let z(g) = g**2. Determine y(z(l)). 11*l**2 Let u(c) = c**3 - 7*c**2 - 6*c + 42. Let s be u(7). Let n(k) be the second derivative of s + 1/3*k**3 + 0*k**2 + 6*k. Let l(d) = -d. Calculate l(n(p)). -2*p Let r(c) = -c + 4. Let q(f) be the first derivative of f**2/2 + 375. What is r(q(v))? -v + 4 Let h(o) = 14*o - 8. Let b(f) = 9*f - 5. Let z(y) = -8*b(y) + 5*h(y). Let n(u) = -144*u. Give n(z(g)). 288*g Let v(n) = 3*n**2. Let d(f) = 21901*f**2 - 726. Let j(u) = -121*u**2 + 4. Let q(c) = -2*d(c) - 363*j(c). Calculate v(q(o)). 43923*o**4 Let a(t) = -31*t. Let v(i) be the second derivative of 0*i**2 + 2 + 1/3*i**3 - 17*i. Give v(a(h)). -62*h Let u(v) = 6155*v**2. Let o(h) = 23*h + 1. Calculate o(u(n)). 141565*n**2 + 1 Let d(r) be the first derivative of -2*r**3/3 - 7*r**2/2 + 66. Let h(a) = 6*a**2. Calculate d(h(i)). -72*i**4 - 42*i**2 Let h(s) = -s + 287. Let m(y) = 48*y**2. Determine h(m(n)). -48*n**2 + 287 Let v(d) = 5*d**2. Let c(k) = -34031*k - 1. Give v(c(t)). 5790544805*t**2 + 340310*t + 5 Let p(o) = o. Let x(t) = -2*t. Let l(m) = 10*p(m) + 6*x(m). Let j(b) = b + 3. Let i(w) = -1. Let v(h) = 3*i(h) + j(h). What is l(v(a))? -2*a Let b(v) = -13*v - 1. Let t(j) = -2*j**2 - 5*j. Suppose -8*d = d + 45. Let u(l) = 2*l**2 + 4*l. Let x(h) = d*u(h) - 4*t(h). Give x(b(y)). -338*y**2 - 52*y - 2 Let k(c) = -124334*c**2. Let r(o) = -10*o**2. Determine r(k(s)). -154589435560*s**4 Let q(c) = c**2 - 2*c**2 + 2*c**2 + 0*c**2. Suppose 3 = i, i = -0*z + 5*z - 7. Let d(p) = 4*p**2 - 8*p**2 + 5*p**2 + z*p**2. Give q(d(b)). 9*b**4 Let o(c) = 4*c**2 + 40. Let s(t) = -2*t**2 - 21. Let k(a) = -6*o(a) - 13*s(a). Let u(i) = 3*i. Give k(u(d)). 18*d**2 + 33 Let j(q) = -2*q. Let g(s) = -s**2 + s + 1. Let f be (-3 - -4)/((-3)/3). Let y(a) = -12*a**2 + 3*a + 3. Let v(x) = f*y(x) + 3*g(x). Calculate v(j(o)). 36*o**2 Let d(h) = 6*h**2 - 3*h + 3. Let i(z) = -6*z**2 + 2*z - 2. Let p(q) = -4*d(q) - 6*i(q). Let m(l) = 6*l. Calculate p(m(c)). 432*c**2 Let x(f) = 11*f. Let h(l) = -2435*l**2. What is h(x(y))? -294635*y**2 Let l(h) = 77*h - 25. Let k be l(5). Let p(c) = -k + 176 + 184 - 4*c. Let x(u) = 10*u. Giv
{ "pile_set_name": "DM Mathematics" }
/(7 - (-1 - -1)). What is the third smallest value in -0.5, -1, p? p Let y(o) = o**3 - 4*o**2 - o + 7. Let x be y(4). What is the second smallest value in 4, x, 0.4, 0.3? 0.4 Let f = 0.16 - -6.84. Let d = f + -12. Which is the smallest value? (a) 2/9 (b) 2 (c) d c Let z = 0.05 - -1.95. What is the third smallest value in 3/4, -3, z? z Let o = -3.95 - 0.05. Which is the second biggest value? (a) -0.5 (b) 2 (c) o a Let r = 2913/7 - 417. What is the fourth smallest value in r, -5, 3/5, 1? 1 Let f = -4/203 - 16/29. Let h = 3 - 3.4. Which is the biggest value? (a) 0.5 (b) h (c) f a Suppose -289 - 191 = 2*l. Let n = l - -955/4. What is the biggest value in n, -1/5, 5? 5 Let r be (2/(-16) - 0)*-2. Let i = 18 + -15.7. Let n = i - 0.3. What is the third biggest value in 0.4, r, n? r Let f = 1 - 1.3. Let j = 4.6 + -5. Which is the second smallest value? (a) f (b) -5 (c) j c Let p = 3 - 2.7. Which is the smallest value? (a) -20 (b) p (c) 0 a Let w be -48*(-2 + 20/16). Let g be (3 + (-116)/w)/(-1). Let h = 0.6 - 1. What is the biggest value in g, -2/7, h? g Let s = 20 - 106/5. Let z be (1/12)/((-6)/18). Let l be (-5)/(-9)*(-18)/(-45). Which is the third biggest value? (a) l (b) z (c) s c Let w = 1 - 1.04. Let p = 0.06 - 0.6. Let u = w - p. Which is the third smallest value? (a) -3 (b) u (c) 3 c Let l be (-6)/9 - 6656/(-66). Let k = l - 100. Which is the biggest value? (a) 0 (b) -1 (c) k c Suppose -13*y = -5*y + 40. Which is the fourth biggest value? (a) 2 (b) 0.02 (c) -3 (d) y d Let d be 3/(-2)*(-48)/396. Which is the third biggest value? (a) d (b) 3/5 (c) 4 a Let p = -0.127 + 0.027. Let u(y) = -4*y - 1. Let q be u(-1). What is the second smallest value in q, p, 0.4? 0.4 Let d = 141 - 287/2. Which is the third biggest value? (a) 5 (b) d (c) -0.3 b Suppose -68 = 5*g + 77. Let c = -2 - g. Let o be (-3)/(c/(-6))*-3. What is the biggest value in 1, o, 4? 4 Let r = -11 - -14. What is the second smallest value in 1/8, r, 4? r Let v = 0 + 0. Let a = -0.52 - -5.52. Suppose 2*x + 2*w + 10 = 4*x, 2*x - w = 7. What is the second smallest value in v, a, x? x Let i = 735/8 - 92. Let o = -31993 - -127305/4. Let m = o - -166. Which is the second biggest value? (a) m (b) 0.1 (c) i c Let p = -5 - -4. Let u = 0.05 - 11.05. Let m = 10.8 + u. What is the third biggest value in -2/9, p, m? p Suppose -v = -4*v. Let h be (2 + -1)*(v - 2). Let a = -4.9 + 5.1. What is the third biggest value in a, -1/4, h? h Let h = 185.9 + -186. Let k be 24/(-14) + (-4)/14. What is the second smallest value in h, 1/3, k? h Let f(h) = h**2 - 4*h - 3. Let c be f(5). Suppose -2*x + 0*x = 8. Let y = -34 - -32. What is the third biggest value in x, c, y? x Let l = -1 + 4. Suppose 0 = -j - 2 + 26. Suppose 5*h - 5 = y - j, 3*h - 5*y + 7 = 0. Which is the second biggest value? (a) l (b) 0.5 (c) h b Let z = -97/11 - -9. Let o = 12 + -19. Let n = -4 - o. What is the second biggest value in z, -4, n? z Let i = 352/5 - 70. Let o = -0.1982 - 0.0018. What is the smallest value in i, o, -1/4? -1/4 Let m be (-7)/(-12) - (-2)/3. Let p = -5 - 6. Let g = 12 + p. What is the third biggest value in g, m, 0? 0 Let q be 1 - (-1 + -1 + 3). Let t be 0 + 0 - -3 - 3. Suppose q = 5*j - t*j + 20. Which is the third smallest value? (a) -2/11 (b) 1 (c) j b Let o = 5.3 + -5. Let p = -3.2 - -3. Which is the second biggest value? (a) -1 (b) o (c) p c Suppose 10 = -7*t + 2*t. Let p = -3.9 + -0.1. Let o(i) = i**2 - 16. Let l be o(4). Which is the second smallest value? (a) p (b) t (c) l b Let l = -7757/462 + 219/11. Let k = l + -17/6. Which is the smallest value? (a) k (b) 2/11 (c) -1/4 c Suppose -4*o - 5 = -5*d, -3 = 5*d - 2*o + 2. Let z be d/(-7) - (-48)/(-14). What is the second biggest value in -2/13, -1/2, z? -1/2 Let a(m) = -m**2 - 5*m. Let k be a(-4). Suppose -5 = -5*h + 8*i - 3*i, k*h + 4*i = 28. Suppose h + 5 = 3*v. What is the second smallest value in v, 0.4, 2? 2 Let x = -7.023 - -0.023. What is the third biggest value in 0, -4, x? x Let v = -26 - -26.4. Which is the biggest value? (a) -1 (b) 5 (c) v b Let x = 47.96 - 46. Let w = x + 0.04. Which is the third smallest value? (a) 4 (b) 1/3 (c) w a Let m be (-21)/(-12) - (51/(-12) - -4). What is the second biggest value in m, 1, -9, -1/2? 1 Let w = 3.7 - -7.9. Let d = 12 - w. What is the second biggest value in d, -5, 0? 0 Let g = -77 + 382/5. Let u(z) = z + 2. Let n be u(-5). Which is the smallest value? (a) g (b) n (c) 3/7 b Let k be (6/(-9))/((-32)/12). Suppose -5*w + 5 = -2*t, -17 = -3*w - 2*t + 2. Let c be 3*3/45*w. What is the second smallest value in 4, c, k? c Let f = -5.14 + 0.15. Let q = 0.01 - f. What is the third smallest value in -0.2, 0.03, q? q Let t be 13/(-15) - ((-5)/(-5) - 2). What is the fourth smallest value in t, 3, 0, -2/7? 3 Let c = -6 - -8. Suppose -c*a + 1 + 3 = 0. What is the third biggest value in a, 1/11, -0.3? -0.3 Let v = -203.6 - -227. Let g = v - 23. Let k(o) = -o**3 - 5*o**2 + 5*o - 1. Let w be k(-6). Which is the biggest value? (a) w (b) g (c) 4 a Let q = 0 - -0.3. What is the second smallest value in q, 0.1, -0.1, 2/7? 0.1 Let q = 1.1 + -1.4. Which is the fourth smallest value? (a) 2 (b) 3 (c) -8 (d) q b Let x = -2.302 + 0.312. Let g = 2 + x. Let q = g + 0.39. What is the second biggest value in -2/3, q, 4? q Let z = -2/11 - 29/22. Let g = 0.1 - 0.1. What is the third smallest value in z, g, 5/2? 5/2 Suppose -2*j = 3*n + 2*j - 13, 0 = -5*n + 3*j - 17. Let u be 0/(-4)*(0 + n). Let q = 59 - 58.5. What is the biggest value in q, 0.2, u? q Let c = -14.86 - 0.14. Let d = c + 17. What is the third smallest value in 0.4, 5, d? 5 Let h = 3/40 - -1/8. Let w be (-1)/(-3)*(-24)/10. Which is the biggest value? (a) h (b) w (c) 1/7 a Let y be 3/2*(-16)/(-6). Suppose -2*l + y*l = -18. Let t be (-3)/l*1*2. Which is the third biggest value? (a) t (b) 5/3 (c) 3 a Let z be (-17)/(-3) + (-30)/6. Let j = 35/2 - 181/10. What is the second smallest value in z, j, -0.2? -0.2 Let p = 0.14 + -0.34. Which is the third biggest value? (a) 2/5 (b) 0.1 (c) p c Let o be 4/(-6)*(-18)/36. What is the smallest value in -4, o, 0? -4 Let d be ((-12)/10)/(3/10). Let f be (2/(-28))/((-1)/d). What is the third biggest value in 3, f, -1? -1 Let v = 0.01 + 0.22. Let r = -12.07 + 12. Let d = v - r. What is the biggest value in -1/5, d, 2/7? d Let t = -113 + 117. What is the third smallest value in 3, -1/3, 1, t? 3 Let y = -0.8 + 4.8. What is the third biggest value in -0.5, y, -0.1? -0.5 Let x = -4 + 4.6. Which is the second smallest value? (a) -2/3 (b) x (c) 0 c Let l be 33/(-22)*(-8)/(-54). Which is the third smallest value? (a) -0.4 (b) 0.5 (c) l b Let w be ((-2)/(-10))/(7/(-14)). Let p = -0.08 + 0.08. Which is the second smallest value? (a) p (b) w (c) 2 a Let h = 3 - 2.52. Let w = h + -0.08. Suppose -3*q + 2*q - 4 = 0, 4*u = 4*q + 36. Which is the second biggest value? (a) w (b) 0.5 (c) u b Let x = -81 + 63. Which is the biggest value? (a) x (b) 2/23 (c) 3 c Suppose 3*l + 17 = -3*t + 89, -5*t - 4*l + 118 = 0. Let r be 1 - (-2 + t/8). Let m = -0.9 + 0.84. Which is the smallest value? (a) -0.5 (b) m (c) r a Let j = 4.99 + 0.01. Let f = -18/19 + 232/285. What is the biggest value in f, -5, j? j Suppose -2*p + 4 = -0*p. What is the smallest value in p, -3, 0? -3 Let q = 112 - 113. Which is the second smallest value? (a) -0.8 (b) q (c) 3 a Let v = -3 + 2. Let j = 1.1 - 1.2. Which is the second smallest value? (a) v (b) 1 (c) j c Let k = 28 + -28. Which is the second smallest value? (a) 2 (b) 4 (c) k (d) 9 a Let o = -1.98 - 0.02. Let v = 1.12 + -1.42. What is the third smallest value in v, -5, o? v Let j = 198 - 194.04. Let f = -0.04 - j. Let d = f - -9. Which is the third smallest value? (a) -1/4 (b) -2 (c) d c Let i = -132 + 128. Let j be 4/10 + 64/315. Let f = -8/9 + j. Which is the third biggest value? (a) -2 (b) i (c) f b Let p = -17 - -16.96. Which is the biggest value? (a) p (b) 0.2 (c) 4/7 c Let o be 3/(-10)*(-1)/3. Suppose -6*p + 14 - 2 = 0. What is the second smallest value in o, -0.2, p? o Let u = -4.3 - 0.7. Let i(p) = p - 1. Let s(w) = 9. Let k(r) = i(r) - s(r). Let h be k(10). Which is the third smallest value? (a) u (b) h (c) 3 c Let p = -111 + 1
{ "pile_set_name": "DM Mathematics" }
3 = 4*x + l, -4*x + 8 = 3*l. Solve -5*i - 17 = -x for i. -3 Suppose -2*x - 76 = 2*x. Let f be (-6)/9 + x/3. Let q = 7 + f. Solve -5*u + 12 + 13 = q for u. 5 Suppose 0 = 2*z - 3*z + 15. Solve z = -4*l + 3 for l. -3 Suppose 4*n + 0*f + 4*f = 12, -3*f + 9 = 2*n. Suppose -j - 3*j = n. Solve -6*d + d = j for d. 0 Let x = -13 - -24. Let a = x + -8. Solve 4*u - a = 17 for u. 5 Let t = -10 - -30. Suppose 3*l + t = 4*k, -2*k + 9 + 1 = -4*l. Solve -2*p + k*p = 0 for p. 0 Suppose -2*o = 2*y + 1 - 3, -4*y = 3*o. Let l be ((-8)/(-10))/(o/10). Solve l*a = 2 - 0 for a. 1 Suppose 23 = 5*n + k + 2*k, -3 = -2*n + 5*k. Let s(m) = -m**3 - m**2 - 2*m - 4. Let b be s(-3). Solve n*x + x = b for x. 4 Let c(d) = d + 0*d - 2*d. Let f be c(-3). Solve f*y + 8 = -4 for y. -4 Let c(g) = -6*g**3 - 2*g - 2. Let v be c(-1). Solve -2*i - 2 = -v for i. 2 Suppose -h = -22 + 18. Solve -r = -h*r for r. 0 Let k be (-3)/(-2) + 57/(-6). Let w(p) = p + 10. Let y be w(k). Solve -r - y = 3 for r. -5 Let x = 41 + -22. Suppose -2*f + x = 15. Solve -2 = -f*y - 12 for y. -5 Let w be (-1*16)/4 - -12. Solve -6*u + 2*u - w = 0 for u. -2 Suppose 5*s - 25 + 0 = 0. Suppose 0 = -2*y + s*y - 12. Solve -14 = -y*m + 2 for m. 4 Let j = 41 + -25. Suppose 0 = -c - s - 4*s, -4*c + 25 = -5*s. Suppose 5*a = -c*b + 25, 4*a + b = -a + 17. Solve a*x = 7*x + j for x. -4 Let z(t) = -t**3 + t**2 - t + 1. Let n be z(2). Let k be 0 - (n + (2 - 1)). Solve 0 = -3*m + 4*m + k for m. -4 Let i = -134 - -143. Solve i = 5*z + 19 for z. -2 Let m(b) = b + 3. Let g be m(-5). Let i be g/5 - (-4)/10. Solve i = 5*h - 1 - 9 for h. 2 Let g(u) = -u**2 - 8*u - 9. Suppose 4*y - 2*k + 16 = -14, 0 = -3*y + 2*k - 24. Let j be g(y). Solve -12 = -j*q + 6*q for q. -4 Let z = -54 + 57. Solve o - 4 + z = 0 for o. 1 Let k = 16 - 12. Suppose k*h - q = 2*h + 13, 2*h = -4*q - 12. Solve -4 = 6*a - h*a for a. -2 Let m be ((-3)/(-9))/((-2)/(-30)). Suppose -3*l - m*o - 15 = 0, -3*l + 4*o + o = -15. Solve -2*g - g + 15 = l for g. 5 Suppose 2 = -3*j + 5*y + 82, -128 = -5*j + 3*y. Let t be (7/21)/(3/18). Solve 3*w + t*w + j = 0 for w. -5 Let v be 9/2*(-6)/(-9). Let b = -3 - -3. Solve -v*k = -9 - b for k. 3 Let s be -3*((-3)/(-9))/(2/(-6)). Solve -s = -3*h + 12 for h. 5 Let v(f) = 4*f**2 + 4*f + 2. Let y be v(-1). Solve -2*d - y*d - 8 = 0 for d. -2 Suppose -y + 25 = 4*y. Let f = 78 + -78. Solve f = -y*z + 7 + 13 for z. 4 Let x = -10 + 16. Solve x*y - 3*y = 3 for y. 1 Suppose 0 = 17*v - 46 - 22. Solve -9*i - v = -5*i for i. -1 Suppose 6*i - 6 = 3*i + 4*f, 5*i + f = 10. Solve w + 3 - i = 0 for w. -1 Suppose -3*k + j + 9 = 2*j, -4*k + 5*j = -12. Suppose 0 = f - 3*g - 10, -k*f + 0*f = 2*g - 30. Solve -2*u + f = -0 for u. 5 Let f(d) = -2*d + 10. Let i(z) = z - 5. Let m(p) = -3*f(p) - 5*i(p). Let x be m(5). Solve w - 1 + 3 = x for w. -2 Let g be 20/3*18/15. Solve g = -3*y - 4 for y. -4 Let v = -7 - -13. Let h be (-2)/(1/(-2)*2). Solve 0 = 4*j + v - h for j. -1 Let i(n) = -5*n. Suppose 5*u = 25, -5*h - 10 = -u - 0. Let c be i(h). Solve -c*d + 3*d = 2 for d. -1 Let p(f) = f**3 + 11*f**2 + 10*f + 4. Let h be p(-10). Solve 0 = -4*i + 2*i - h for i. -2 Let d(q) be the first derivative of -q**2 + 2. Let r be d(-2). Let l = 0 + r. Solve l*t = -t - 15 for t. -3 Let u(v) be the first derivative of -v**2/2 + 11*v - 1. Let h be u(7). Suppose 4*c = 5*d - h + 12, -2*d - 27 = -5*c. Solve -2*j - 15 = -c for j. -4 Let a(q) be the third derivative of q**4/12 - 3*q**3/2 + 2*q**2. Let v be (36/10)/(2/5). Let h be a(v). Solve -h = -d - 2*d for d. 3 Suppose 9*w - 8 = 5*w. Solve 4 + 0 = w*d for d. 2 Let y(k) = k**3 - k**2 - 2*k + 3. Let a be y(2). Let d(l) = -l**2 + 0*l**3 + 5*l**2 - l**a - 2*l**2 - 1. Let q be d(1). Solve 0 = -5*j - q + 25 for j. 5 Let q(v) = 3*v + 26. Let d be q(-6). Solve 2*l + 0*l = d for l. 4 Suppose -v + 11*v = 0. Solve v*l = -l + 2 for l. 2 Suppose 0 = 2*m + 4*y - 4 + 2, 5*y - 7 = -4*m. Solve -6 + m = 3*t for t. -1 Let d(q) = q + 1. Let v be d(1). Let l be 1*-3*-1 - v. Let g = 0 + l. Solve z + 0 = g for z. 1 Let p be (-2)/(-13) - 924/(-78). Solve 3*n = 6*n + p for n. -4 Suppose 5*n + 2*c - 22 = 0, 4*n - 4 = -4*c + 16. Let u be (2 + -32)*n/(-6). Solve 2*i = -2*i - u for i. -5 Suppose 5*q - 11 = 4. Let m = -11 - 11. Let j = -7 - m. Solve -q*f - j = 2*f for f. -3 Suppose 24 = 6*o - 2*o. Solve 0 = t - 3*t - o for t. -3 Let y(v) = -v - 3. Let p be y(-5). Suppose w + 2 = -5. Let n be (w/(-14))/(2/4). Solve 0 = p*o + n - 9 for o. 4 Let v(d) = -d**3 + 10*d**2 + 10*d + 16. Suppose 4*f + z - 4*z = 59, -5*f - 2*z + 45 = 0. Let i be v(f). Solve -i*w + 2 = 27 for w. -5 Let b(r) = 2*r**3 - 2*r**2. Let n be b(2). Let c be (n/(-20))/((-2)/20). Solve -8*l + 8 = -c*l for l. 2 Let t be (-10)/(-25) + 54/(-10). Let d = 5 + t. Solve d*g = 3*g for g. 0 Suppose 7 + 11 = 3*g. Suppose -3*o + 6*b = 2*b + 8, -g = -4*o + 2*b. Solve -o = w - 2 for w. -2 Let p be 1*((3 - -10) + -2). Solve 4*n = -p - 5 for n. -4 Let h(q) = -2*q**2 + 19*q - 3. Let p be h(9). Solve -p*w = -3*w for w. 0 Let s(i) = -i**3 + 10*i**2 + i - 6. Let k be s(10). Solve -k = o - 0*o for o. -4 Let a(t) = t**3 - 8*t**2 + 6*t + 8. Let d(o) = 0 + 15 - 3*o + 4*o. Let g be d(-8). Let v be a(g). Solve 0*p - p + v = 0 for p. 1 Let r(z) = z - 1. Let k(n) = 3*n + 4. Let w be k(-3). Let t be r(w). Let b = 6 + t. Solve -3*d + 0*d = b for d. 0 Suppose -i - 4*j = -24, -2*j - 11 = -4*i - j. Suppose w - 9 = i*w. Let u = w + 8. Solve 2*l - u = -3*l for l. 1 Let g = -5 - -5. Let u be (0 - -1)/(g + 1). Solve -x + 3 = -u for x. 4 Suppose -2*g - 3 = -3*g. Let k be 0 + (-1 - g)*-5. Let o be 6/(-8)*(-1 + -3). Solve -o*p = p + k for p. -5 Let v = -1 - -37. Suppose -5*n + v = -4*w, -2*n = -5*w - 0*w - 28. Solve 0 = n*t + t for t. 0 Let x be ((-2)/(-4))/(8/(-16)). Let y = 4 - x. Solve y = -5*p - 0 for p. -1 Suppose 4*k - 10 = -2. Solve 4*a + k = 2*a for a. -1 Let h(i) = i**3 - 18*i**2. Let o be h(18). Solve o = -x - 3*x - 20 for x. -5 Let t = 2 + 0. Let g be t + 0 + (-2 - -2). Suppose 10 = -5*p, 4*p - g*p + 4 = -4*j. Solve j = -2*s - s for s. 0 Suppose 26 = 2*c + 2*g, 0 = -c + 6*c + 2*g - 50. Suppose 2*r + 3*y = 6, 5*y - c = y. Suppose -3*m + m + 4 = r. Solve 2*i = 3*i + m for i. -2 Let x be -8 - -12 - (-1 - -1). Solve -8*z - 12 = -x*z for z. -3 Let d(y) = -y + 9. Suppose 0*m - 35 = -5*m. Let x be d(m). Solve -x*s - 1 = -5 for s. 2 Let i be 8*1*(18 + -17). Solve 17 = 5*m - i for m. 5 Suppose -7*a + 18 = -a. Suppose 0 = a*s - s. Solve 9 = -s*d - 3*d for d. -3 Let y = -3 + 4. Let j be (32/(-16))/(2/(-4)). Solve j = -3*v + y for v. -1 Let h be (-2)/14 + (-472)/28. Let a = h - -25. Solve -k = -3 + a for k. -5 Let k = -11 + 18. Let n(j) = -j + 9. Let x be n(k). Solve 0 = -3*p + x + 10 for p. 4 Suppose -5*b = 2 + 3. Suppose 2*p = 6, -4*d - 3*p - 7 = -4*p. Let x = b - d. Solve x = -w - 4*w + 15 for w. 3 Let h = 24 + -20. Solve -t = h*t for t. 0 Suppose 24 = 4*k + 4*l, -2*k = 3*l + 11 - 27. Solve -5*v - 3 = k for v. -1 Suppose 0 = -4*z - u + 23, -2*z + 4*u - 32 = -6*z. Solve -4*r - 5 = -z*r for r. 5 Let i(o) = 4*o**3 - 2*o**2 + o. Let x be i(1). Solve -x*j = j for j. 0 Suppose 2*o = -3*m - 40, m - o + 15 = -0. Let r = -14 - m. Let w = 4 + -1. Solve p = w - r for p. 3 Suppose -2*r + 4*r = 14. Suppose w - 8 = -r. Solve -2*f - w = -f for f. -1 Suppose 2*q - 3*n - 2*n = 32, -3*q = -n - 61. Suppose -5*h - 1 = -q. Suppose -3*l + 7 = -2*j, -h - 10 = -j - 2*l. Solve 3*w + j = 1 for w. -1 Suppose -3*d + 17 + 6 = 4*b, -8 = -b - 3*d. Solve b = 4*o - 3 for o. 2 Suppose -y = -6*y - i, -y + 3*i = 0. Let w = 2 - y. Solve -a = 6 - w for a. -4 Let v be -5*(3 + 72/(-20)). Solve -v*k = k for k. 0 Suppose 3*k = -4*i, -k = -0*i - 2*i. Solve 0*v + 3*v = i for v. 0 Suppose 12 = -4*d - 140. Let v = -20 - d. Suppose 3*u + v = 6*u. Solve 2*t - u*t = 8 for t. -2 Suppose 2*y - 4 = 0, 5*y - 2*y - 10 = -b. Let u be 0/(-6 + (-1 - -5)). Solve p - b*p = u for p. 0 Suppose -4*p - 16 = 4*z - 3*z, -3*p = 5*z - 5. Suppose 3*d - r - 25 = 0, -z*d - 45 = -7*d - 3*r. Solve 0*g + 2*g + d = 0 for g. -5 Let y(k) = -k**3 + 5*k**2 - 6*k + 9. Let x be y(4). Solve 4*v + 11 = -x for v. -3 Let a be (50/(-15))/(4/(-6)). Let m = a - 4. Let d = 6 - m. Solve 0 = -d*t - 3 - 7 for t. -2 Suppose 5*r = -2*k - 0*k + 14, 0 = 2*r + 4*k - 12. Solve -2*t = -0*t - r for t. 1 Suppose 5*k + 4 = 14. Suppose -
{ "pile_set_name": "DM Mathematics" }
(-28))/4 - (-78)/(-21). Let q(f) = f + 6. Let t(w) = 1. Give h*q(m) + u*t(m). m + 2 Let t(a) = 11*a**2 - 25*a + 26. Let p(r) = 5*r**2 - 12*r + 12. Determine -13*p(q) + 6*t(q). q**2 + 6*q Let s(d) = 11*d**2 - 13. Suppose 5*t = -3*n + 34, -2*t - 2*n + 57 - 45 = 0. Let q(a) = -17*a**2 + 20. Calculate t*s(u) + 5*q(u). 3*u**2 - 4 Let x(d) = 0*d**3 - d**3 + 2*d + 113*d**2 - 221*d**2 - 2 + 110*d**2. Let v(q) = -9*q**3 + 21*q**2 + 21*q - 21. Calculate 2*v(g) - 21*x(g). 3*g**3 Let y(m) = -5*m + 7. Let i(n) = 6*n - 9. Let s(r) = -4*i(r) - 5*y(r). Let k(h) = -4*h - 1. Let a(o) = -o - 8. Let d be a(-7). Give d*k(f) - 2*s(f). 2*f - 1 Let o(i) be the second derivative of i**4/4 + 79*i. Let x(g) = -4*g**2 - 5*g**2 + 4*g**2 + 4*g**2. What is -o(v) - 6*x(v)? 3*v**2 Let i(m) = -14*m**2 - 36*m - 135. Let g(z) = -6*z**2 - 16*z - 67. Determine -9*g(w) + 4*i(w). -2*w**2 + 63 Let o(q) = -11. Let n(b) = 2*b + 47. Give -4*n(p) - 18*o(p). -8*p + 10 Let g(d) = 13*d**2 - 2*d - 2. Let l(m) be the first derivative of 4*m**3/3 - m**2/2 - m - 401. Give -2*g(h) + 7*l(h). 2*h**2 - 3*h - 3 Let d(r) = -73*r. Let j(h) = 74*h. Determine -3*d(x) - 4*j(x). -77*x Let p(g) = -g - 1. Let x(q) = 4*q + 270. Determine 6*p(b) + x(b). -2*b + 264 Let w(q) be the third derivative of q**5/30 - q**4/8 + q**3/3 - 106*q**2. Let v(b) = 5*b**2 - 8*b + 6. What is 3*v(p) - 8*w(p)? -p**2 + 2 Let g(i) be the third derivative of i**5/30 + i**4/8 - i**3/3 + 3*i**2. Let h(d) = 4*d**2 + 5*d - 3. Suppose 13*p - 49 + 10 = 0. Determine p*h(a) - 5*g(a). 2*a**2 + 1 Let o(g) = -6*g**3 + 3*g - 3. Let n(l) = 2 + 5*l**3 - 1 - 2*l + 1. Suppose 3*j - 9*j + 18 = 0. What is j*n(w) + 2*o(w)? 3*w**3 Let a(l) = 307*l - 1 - 153*l - 4*l**2 - 153*l. Let v(h) = -h**2 - 1. What is a(y) - 3*v(y)? -y**2 + y + 2 Let r(g) = g**2 - g - 1. Suppose 3*o + 32 + 4 = -4*m, -o = 4. Let v = m - -8. Let d(y) = y**2 - 2*y - 2. What is v*r(k) - d(k)? k**2 Let h(l) = l - 3*l + 1 + 3*l. Let u(w) = w**3 + 29*w**2 + 138*w - 1. Let c be u(-23). Let z(p) = 5 + 3*p + 1 - 1. What is c*z(v) + 4*h(v)? v - 1 Let f(r) = r**2 + 1. Let b(o) = -o**2 + 6*o + 1. Let w(j) = 11*j**2 - 34*j - 2. Let m(p) = 6*b(p) + w(p). Give 3*f(h) - m(h). -2*h**2 - 2*h - 1 Let w(x) = -7*x**2 + 5*x. Let f(d) = -4*d**2 + 3*d. Suppose 0 = 7*j - 143 + 17. Suppose -44*i = -38*i + j. Calculate i*w(l) + 5*f(l). l**2 Let u(a) = 7*a**2 + 6*a. Let s(r) = r**3 - 14*r**2 - 10*r + 1. Calculate -3*s(i) - 5*u(i). -3*i**3 + 7*i**2 - 3 Let i(j) = 823244*j**3 - 2229*j**2 + 2229. Let z(h) = 739*h**3 - 2*h**2 + 2. Determine 2*i(f) - 2229*z(f). -743*f**3 Let x(r) = -2*r**3 - 13*r**2 - 8*r + 5. Let k(p) = -6*p**3 - 39*p**2 - 23*p + 15. Calculate 4*k(g) - 11*x(g). -2*g**3 - 13*g**2 - 4*g + 5 Let l(y) = -y**2 - 1. Let v(p) = -16*p**2 + p - 2. Determine -4*l(n) + v(n). -12*n**2 + n + 2 Let q be ((-3)/2)/(2/(-4)). Let m(x) = 4122 + 9*x**2 - 4122 + 11*x. Let c(r) = -5*r**2 - 6*r. What is q*m(a) + 5*c(a)? 2*a**2 + 3*a Let k(p) = -2*p - 1. Let u(r) = 46*r - 2. Give 3*k(j) - u(j). -52*j - 1 Let q(j) = -36*j**2 + 9. Let u(o) be the second derivative of -3*o**4/4 + o**2 + o + 23. Determine -2*q(a) + 9*u(a). -9*a**2 Let s(u) = 29*u + 188. Let k(x) = -5*x + 1. Determine 6*k(y) + s(y). -y + 194 Let v(z) = -4*z**2 + 2*z. Suppose -10 = -31*c + 41*c. Let k(n) = n**2 + n. Calculate c*v(q) + 2*k(q). 6*q**2 Let p(g) = -8*g**2 + 5*g + 18. Let x(d) = -7*d**2 + 4*d + 19. Give 4*p(j) - 5*x(j). 3*j**2 - 23 Suppose 9*i + 60 = -3*i. Let c(x) = 15*x**3 - 9*x - 5. Let s(n) = -22*n**3 + 13*n + 7. Determine i*s(p) - 7*c(p). 5*p**3 - 2*p Let c(l) = -6*l**3 - 8*l**2 - 4*l - 33. Let d(t) = 5*t**3 + 6*t**2 + 3*t + 33. What is -3*c(n) - 4*d(n)? -2*n**3 - 33 Let i be (-4)/6 - (-16)/6. Let n(u) = i - 5*u**3 + 3*u**3 + 2*u - 5. Let q(w) = 3 - 4 + 81*w**3 - 82*w**3 - 419*w + 420*w. Give n(m) - 3*q(m). m**3 - m Let w(f) be the third derivative of 0 + 1/3*f**3 + 7/24*f**4 + 0*f - 15*f**2 + 1/15*f**5. Let i(u) = 3*u**2 + 5*u + 1. Determine 7*i(v) - 5*w(v). v**2 - 3 Let q(a) = -12 + 6*a + 9*a + 3 - 2*a. Let f(t) be the second derivative of t**3/2 - t**2 - 4*t. Let k be (27/(-6))/((-1)/(-2)). Determine k*f(n) + 2*q(n). -n Let c(x) = -2*x**2 + 5*x - 2. Suppose 0 = -277*l + 276*l + 4. Let a(i) = -2*i**2 + 6*i - 3. Determine l*a(w) - 5*c(w). 2*w**2 - w - 2 Suppose 13 = 2*k + 17. Let n(r) = -1. Let o(m) = m + 4. Give k*o(z) - 7*n(z). -2*z - 1 Let o(g) = -4*g**2 + 5*g**2 - g - 78 + 77. Let r(d) = 38*d + 5*d**2 - 4*d**2 - 4 - 42*d. Calculate 2*o(f) - r(f). f**2 + 2*f + 2 Let j(x) be the third derivative of x**5/15 - x**4/6 + 2*x**3/3 - 700*x**2. Let y(b) = -b**2 + b - 1. Determine j(g) + 5*y(g). -g**2 + g - 1 Let g(t) = t**3 - t**2 + t. Suppose 23*q + 3 = -20. Let y(m) = -m**3 - 2*m**2 + 2*m. Give q*y(r) + 2*g(r). 3*r**3 Let v(o) be the third derivative of -7*o**4/24 + o**3/3 - 14*o**2 + 21*o. Let t(f) = -7*f + 2. What is -4*t(j) + 3*v(j)? 7*j - 2 Let a(z) = z**2 - z. Let u(w) = -8*w + 7*w - 3*w**2 - w + 3*w + 2*w. What is 5*a(v) + 2*u(v)? -v**2 + v Let c(g) = -6*g**2 + 11*g**2 - 8 - 4*g**2. Let v(h) be the first derivative of -h - 3. Suppose 42 = 5*a + 12. What is a*v(x) - c(x)? -x**2 + 2 Let s(m) = 2*m - 5. Let y(u) = -18*u + 29. Calculate -6*s(h) - y(h). 6*h + 1 Let u(z) = -4*z**2 + 4*z. Let k(c) = -4*c**2 + 5*c. Let t = 304 - 309. What is t*u(h) + 4*k(h)? 4*h**2 Let m(q) = 29*q. Let z(x) = -18*x. Let o(u) = -5*m(u) - 8*z(u). Let n(d) = 2*d**2 + 5*d. What is n(l) + 2*o(l)? 2*l**2 + 3*l Let n(c) = -3*c**3 + 13*c**2 + 4*c. Let g(i) = -6*i**3 + 25*i**2 + 7*i. Determine 3*g(u) - 5*n(u). -3*u**3 + 10*u**2 + u Let s(c) = -268*c - 28. Let w(g) = -269*g - 33. What is 6*s(o) - 5*w(o)? -263*o - 3 Let k(i) be the first derivative of -4*i**3/3 - 5*i + 2. Let r(q) be the first derivative of -4*q**3 - 14*q + 252. Determine -14*k(l) + 5*r(l). -4*l**2 Suppose 3*s = 2*u - 12, u + 3*s = 2*u - 9. Let q(j) = j**3 + 2. Let m(z) = -3*z - 1. Let l be m(-1). Let k(c) = -c**2 - 2. Give l*q(v) + u*k(v). 2*v**3 - 3*v**2 - 2 Let g(m) = m**2 + 7*m - 17. Let t(c) = -c. Determine -g(s) - 6*t(s). -s**2 - s + 17 Let t(w) = 8*w**2 + 21*w + 4. Let l(x) = -19*x**2 - 43*x - 8. Determine -2*l(b) - 5*t(b). -2*b**2 - 19*b - 4 Let o(z) = -4*z - 6. Suppose 1 = r + 2*g, -g + 1 = r + 4. Let q(b) be the first derivative of 9*b**2/2 + 13*b + 795. Give r*o(m) - 3*q(m). m + 3 Let u(b) = b**2 + b - 1. Let g be 22/18 - 22/99. Let l(r) = -3*r**2 - 4*r + 4. Give g*l(v) + 4*u(v). v**2 Let d(a) be the first derivative of -15*a**4/4 - 25*a**3/3 - 25*a**2/2 + 25*a + 17. Let c(k) = -4*k**3 - 6*k**2 - 6*k + 6. Give -25*c(f) + 6*d(f). 10*f**3 Let t(h) = -4*h**3 - 7*h**2 + 7*h + 7. Let b(u) = -u**2 + u + 1. Let y = 47 - 33. Calculate y*b(q) - 2*t(q). 8*q**3 Let o(g) = 3*g + 3. Let k(h) be the third derivative of -h**6/120 - h**4/12 - h**3/3 - h**2. Let c = 126 - 119. Suppose -c = -n - 5. Give n*o(z) + 3*k(z). -3*z**3 Let g(m) = -140*m**3 - 85*m + 85. Let j(i) = 5*i**3 + 3*i - 3. Let h be (-52)/10 + 156/(-195). Calculate h*g(o) - 170*j(o). -10*o**3 Let m(z) = 6*z**2 - 2*z + 2. Let f(a) = a - 1. Suppose -111*k = -109*k + 4. What is k*m(g) - 4*f(g)? -12*g**2 Let b(n) = -17*n - 57. Let p be b(-4). Let z(s) = 26*s - 5. Let v(i) = -5*i + 1. Determine p*v(a) + 2*z(a). -3*a + 1 Let j(y) = 6*y + 2. Let n(d) be the third derivative of -d**7/5040 - 19*d**5/60 + 21*d**2. Let p(w) be the third derivative of n(w). Determine j(o) + 5*p(o). o + 2 Suppose j = 2*x + 4, 0 = -5*x + 2*x - 2*j - 20. Let z(t) = -t. Let m(u) = 17*u. What is x*z(v) - m(v)? -13*v Let i(z) = 3*z**3 - 6*z**2 - 1. Let v(y) = -y**3 + y. Determine i(h) + 2*v(h). h**3 - 6*h**2 + 2*h - 1 Let b(w) = 3*w**2 + 3*w. Let u(z) = 2*z**2 + 2*z. Determine 4*b(d) - 5*u(d). 2*d**2 + 2*d Let c(f) = -f + 663. Let b(o) = 4*o - 1981. What is 2*b(i) + 7*c(i)? i + 679 Let m(a) be the first derivative of -a - 59. Let g(z) = -3*z + 9. What is g(w) + 9*m(w)? -3*w Let k(w) = w**3 - 16*w**2 + 13*w + 9. Let x be k(15). Let j be (-6)/2 - (1/1 - 1). Let b(p) = p - 3 + 3. Let v(a) = -8*a. Give j*v(l) + x*b(l). 3*l Let h(y) = -y**2 - 10*y + 22*y - 9*y + 3. Let q(a) = -4*a**2 + 10*a + 10. What is -20*h(o) + 6*q(o)? -4*o**2 Let l(g) = -8*g**2 - 6. Let a(s) be the first derivative of -7*s**3/3 - 5*s - 273. Determine 6*a(d) - 5*l(d). -2*d**2 Let z(f) = -f**2 + f - 1. Let o(x) =
{ "pile_set_name": "DM Mathematics" }
21 = 5*s - 0*s, -3*c + 4*s + 26 = 0. Let k(u) = 4*u - 71. Let y be k(18). Sort -4, y, c in ascending order. -4, y, c Suppose -2*m - 3 = -3*a, 3*a - 9*m = -13*m - 15. Put 142, -2, a in increasing order. -2, a, 142 Let g be (-3)/(-3*3/12). Suppose -g*a + 3 - 23 = 0. Let j = -8 + 13. Sort 3, a, j in descending order. j, 3, a Let r be ((-35)/10)/(2/4). Let t = 51 + -49. Sort -3, -1, r, t. r, -3, -1, t Suppose 4*l + 38 = 10. Let q = 1.04 - 0.04. Let a = -46.6 + 47. Sort a, l, q. l, a, q Suppose 0 = -3*j + 715 - 919. Sort j, -1, 5 in increasing order. j, -1, 5 Let g = 991 + -992. Put 6, g, 12, 3 in decreasing order. 12, 6, 3, g Let z = 0.85 - 1.25. Let d be (-26)/(-14) + (-3)/(-21). Let p = d + -7. Put z, p, 0 in increasing order. p, z, 0 Suppose 24 = 13*y - 14*y + 4*h, -2*y = 4*h + 12. Sort -5, 0, y, 6 in ascending order. y, -5, 0, 6 Let d = -7 - -8. Let g be 38/(-247) - (-72)/39*-1. Let t be ((-2)/2)/((-1)/(-4)). Sort d, g, t. t, g, d Let w = 3 + -2.5. Let j = 765.8 + -765.5. Put -1/8, 0.7, j, w in descending order. 0.7, w, j, -1/8 Let j = -84 + 22. Let i = 62.4 + j. Put i, -3, 9/8 in decreasing order. 9/8, i, -3 Let d = 32.64 - 30. Let f = d - 2.7. Let i = -45/82 - -2/41. Sort f, -1/10, i in ascending order. i, -1/10, f Suppose 4*t = 10*t + 3*t. Suppose t = -5*r + 23 - 8. Put r, -5, 7 in ascending order. -5, r, 7 Let y = 469 + -470. Sort y, 54, -5 in descending order. 54, y, -5 Let v be 3*(-2)/(-33) - 54/(-66). Sort 3, v, -20. -20, v, 3 Suppose o = m + 3*m + 4, o + 5*m = -5. Sort -3, 1, -1, o. -3, -1, o, 1 Suppose -22 - 5 = -z + 2*j, -5*z + 4*j = -123. Suppose 7 - z = -4*w. Suppose 4*m - 3*u - 2*u = 83, -3*m + 5*u = -61. Sort m, -3, w in decreasing order. m, w, -3 Let x = -0.025 + -0.195. Let p = x + 0.52. Let v be (-1 - 1)*2/(-4). Sort v, 16/9, p. p, v, 16/9 Let c(m) = -3*m**3 - 5*m**2 - m + 4. Let w be c(-4). Suppose 0 = -0*v - 5*v - w. Let q be v/(-231) + 14/(-49). Sort 1/4, q, 0.01. q, 0.01, 1/4 Let u be (-3)/(-2)*112/42 + -103. Put -3, u, 2 in descending order. 2, -3, u Let j(k) = -2*k**3 - 10*k**2 + 5. Let z be j(-5). Let t(m) = m**2 + 13*m - 67. Let c be t(4). Put z, 0, c in decreasing order. z, c, 0 Let u(q) be the first derivative of -q**2/2 + 3*q - 18. Let x be u(2). Sort -4, 3, x in decreasing order. 3, x, -4 Suppose 7*j = -1 + 29. Suppose 18 = -j*a + 10*a. Put a, 5, -6 in decreasing order. 5, a, -6 Let r = -1 + 1. Suppose 0 = -7*j - j - 6*j - 56. Sort j, 2, r in descending order. 2, r, j Let y = 0.09 - 2.09. Let o = 3 - 3.38. Let b = -0.3 - o. Sort y, b, -1/3 in increasing order. y, -1/3, b Let m = -260 + 257. Sort -2/13, m, 2/9 in ascending order. m, -2/13, 2/9 Let a be (-4 + 1)*(2 + -1). Let c(o) = 2*o + 1. Let y be c(a). Let g(n) = 2*n**2 + 32*n + 3. Let u be g(-16). Put y, 2, u in descending order. u, 2, y Let t = -6.9 - 23.1. Let k = t + 31. Sort -0.2, k, -2 in decreasing order. k, -0.2, -2 Let q = 8 + -4. Suppose 0*h + q*w + 4 = -3*h, 4 = 4*h + 3*w. Suppose 0 = -5*c + 3*l + 40, -2*l = 2*c - 5*c + 25. Sort 2/11, h, c in descending order. c, h, 2/11 Suppose 124 = 5*w - 36. Suppose -4*l + w = 4*l. Sort 2, -20, l. -20, 2, l Let m = -0.87 - -4.87. Let z = 2.93 + 0.07. Sort z, m, 0 in descending order. m, z, 0 Let x(l) = l**3 + l**2 - l. Let y be x(0). Suppose 0 = 10*j - 11*j + 6. Let i be (j + -8)*(-3)/12*-2. Sort -2, y, i in decreasing order. y, i, -2 Let l(u) = 6*u + 12. Let m be l(3). Let a = 34 - m. Sort a, 0, 3 in descending order. a, 3, 0 Suppose -45 = -b - 40. Suppose -5*s = -2*y + 3, -3*y - 2*s - 7 = 2*s. Sort b, y, -4, -2 in descending order. b, y, -2, -4 Let x = -0.097 + 191.097. Sort -4, 4, x in descending order. x, 4, -4 Let p = -256 + 255. Sort 77, -5, -3, p in ascending order. -5, -3, p, 77 Suppose -11*b - 5*m - 26 = -12*b, m + 22 = 3*b. Sort -2, b, -1. -2, -1, b Let o = 503/3 - 169. Let q = o - -19/12. Sort q, 0.2, 0, -1 in increasing order. -1, 0, 0.2, q Let d = 1.29 + -92.29. Let l = d + 96. Sort l, 15, 4. 4, l, 15 Let h be (-24)/(-60) - (-1819)/15. Let j = -121 + h. Let o = 3.9 - -0.1. Sort -5, o, j in increasing order. -5, j, o Let h = -35 - -16. Let s = -15 - h. Let b = 8 - 3. Sort 0.1, s, b in increasing order. 0.1, s, b Suppose -2*n + j - 179 = 0, 0 = -4*n - 5*j - 386 + 21. Put 5, n, -2 in increasing order. n, -2, 5 Suppose 4*w = 3*j - 43, 2*w + 16 + 6 = 2*j. Suppose 40*k = 42*k + 2*m - 2, 4*k - m = -11. Sort w, 4, k in decreasing order. 4, k, w Let d(j) = -2*j + j + 16 - j**2 - 17. Let s be d(-1). Sort -4, 1, s in decreasing order. 1, s, -4 Let d = -14.5 + 7.7. Let m = -2.2 + d. Let g = 0 - 3. Sort -3/7, m, g in increasing order. m, g, -3/7 Suppose 2*a + 2*k - 2 = 0, 4*a + 164*k = 162*k. Let v = 3 - -3. Suppose -2*x - 2*s = -8, -4*x + s = v*s - 19. Sort x, 2, a. a, x, 2 Let n be (-2 + 3)*3 - -18. Put n, -0.3, -5 in increasing order. -5, -0.3, n Suppose 3*k - 9 = x + 2*k, -5*x - 21 = k. Let c(z) = z**3 - 6*z**2 - 8*z + 8. Let y be c(7). Sort x, y, 9 in descending order. 9, y, x Let r = 1.3 - 6.3. Let z = 3 + r. Let g = 0.2 - -0.2. Sort 0, z, g. z, 0, g Let f(r) = -3*r**2. Let z be f(10). Let h = 3898/13 + z. Put 3, h, -3 in descending order. 3, h, -3 Suppose 0*w + w + 5 = u, 2*u = 0. Sort -2, 5, 0, w in descending order. 5, 0, -2, w Suppose -259 = 18*r - 259. Sort r, -4, 30 in decreasing order. 30, r, -4 Let h = 1 - -4. Suppose -z = 6*p - 2*p + 4, -2*p + z - 8 = 0. Put p, h, 3 in ascending order. p, 3, h Suppose -14 = 2*d + 2*d - f, -4*d = -2*f + 16. Suppose 0 = -3*v - 3*t - 18, -4*t - 10 = 5*v + 18. Put v, d, -1, -2 in decreasing order. -1, -2, d, v Let p = -152 - -148. Let r = -336/325 - -22/25. Put r, 1/8, p in increasing order. p, r, 1/8 Let a = -3144 - -3143. Let z = -3911/92 - -1670551/39468. Let s = z + 1/33. Put -9, a, s in descending order. s, a, -9 Let y = 571 - 569. Sort 294, y, -1. -1, y, 294 Let f = -75 + 71. Let b be (-2)/(-1*(-3 - -4)). Suppose -b*m = -m. Put f, m, 3 in ascending order. f, m, 3 Let y(v) = 94*v + 844. Let i be y(-9). Sort 0, -9, i in descending order. 0, i, -9 Suppose 3*s + 3 + 27 = 0. Let q be 2 + -5 + 2 + -5 + 4. Sort 5, q, s in ascending order. s, q, 5 Suppose -4*u = -6 + 6. Let g(t) = 6*t + 4. Let y be g(u). Sort 14, y, 0.2. 0.2, y, 14 Let u = -1143 + 1145. Let o = -27.1 - -30. Let d = -0.1 - o. Sort u, -0.4, d. d, -0.4, u Let p = 728 - 728.4. Let f be (-2)/5 - 62/(-80). Suppose -2*m - 2*m + 16 = 0. Sort f, m, p in ascending order. p, f, m Suppose -21 = -5*a + 4. Let y(s) = s**3 - 12*s**2 - 46*s + 27. Let d be y(15). Sort d, -2, a, -3 in descending order. d, a, -2, -3 Suppose -u + 13 = 10. Suppose -u*l - 15 = 2*h, 2*l + 5*h + 4 = -6. Sort l, 0, 1 in ascending order. l, 0, 1 Suppose -160 = 4*z - 128. Put z, -1, 2 in increasing order. z, -1, 2 Let p(z) = -z**3 - 7*z**2 - 10*z. Let t be p(-5). Suppose 0 = -3*n + y + y + 4, t = 4*n - 5*y - 10. Put 5, -4, n in ascending order. -4, n, 5 Let b = 86 - 86.354. Let d = 0.054 + b. Let o be -5*2/(0 - -2). Sort o, d, 1 in increasing order. o, d, 1 Let a = -10.4 + 7.4. Sort -0.036, -1/6, a in decreasing order. -0.036, -1/6, a Let x be (0 - 0)*(-2 + 1). Suppose 2*u = -0*k - 5*k + 3, u - 5*k - 9 = x. Suppose u = 2*t + 2*b, -4*t + 0*b + 4*b + 8 = 0. Put 1, t, -4 in descending order. t, 1, -4 Let x = 22 - 13. Let c = x + -9. Let g = -2 + 12/7. Sort 2, g, c in decreasing order. 2, c, g Let j = -602 - -603. Sort 11, j, -5, -4 in decreasing order. 11, j, -4, -5 Let r = 0.023 - -0.004. Let y = r - 0.527. Let x(v) = -v**3 + 8*v**2 - v - 2. Let u be x(8). Put u, 5, y in ascending order. u, y, 5 Suppose n + 4*g - 24 = 0, n - 2*g - 3 = -9. Let u be (-5 + 3)/(-2) - n. Sort u, 2, -1 in ascending order. u, -1, 2 Let n be ((-6)/4)/(3/4). Let o be (6 - 2) + n + 30. Suppose -z - 3*m - 2*m = 16, 3*z - 5*m = o. Put z, 1, 5 in increasing order. 1, z, 5 Let d = 518 - 522. Put d, 1, 4, -5 in ascending order. -5, d, 1, 4 Let h(u) = u - 7. Let n = 9 + -3. Suppose -2 = -z + n. Let f be h(z). Put 8, 3, f in descending order. 8, 3, f Let u(q) = 4*q - 7. Let b be u(2). Let s be (-2 - -2)/(-2 + b). Put -3, s, -1 in increasing order. -3, -1, s Suppose -2*o = -2 - 6, -14 = f - 4*o. Suppose -7*m = 1 + 41. Let c be 12/m*2/(-4). Put -5, c, f in decreasing order. f, c, -5 Suppose 3*s + 23 = q, 4 = -5*s - 5*q - 1. Let k(d) = d + 10. Let r be k(s). Suppose 48*u = 52*u, -2*x
{ "pile_set_name": "DM Mathematics" }
Simplify 6*(sqrt(11) + sqrt(176))*-3 + (0 + sqrt(396) + -4)**2. -138*sqrt(11) + 412 Simplify ((sqrt(15)/sqrt(5))**2 + -3 - sqrt(3)) + sqrt(9)/sqrt(75). -4*sqrt(3)/5 Simplify -4*((0 + sqrt(605) + 1*sqrt(605))**2 + sqrt(605) - (-2 + -1*sqrt(605) + sqrt(605))). -9688 - 44*sqrt(5) Simplify 2 + (((sqrt(38) - (sqrt(342) - sqrt(38) - sqrt(38)))*4)/sqrt(2))**2. 2 Simplify 2*(3 + 0 + sqrt(252) + 4)**2. 168*sqrt(7) + 602 Simplify (sqrt(76) + sqrt(76)*3 + 1)**2. 16*sqrt(19) + 1217 Simplify (-2*-2*-5*sqrt(363)*-1)**2. 145200 Simplify (sqrt(88)/(3*sqrt(8) + sqrt(8) + sqrt(8)))**2 - 2*sqrt(11)*-2. 11/25 + 4*sqrt(11) Simplify (-1*sqrt(30)*6)/(sqrt(24)/(sqrt(16)/sqrt(4) + sqrt(4))). -12*sqrt(5) Simplify ((sqrt(68) + -1 - sqrt(68))*-4)**2. 16 Simplify sqrt(13) + 4 + sqrt(325) + sqrt(1872). 4 + 18*sqrt(13) Simplify 2 + ((sqrt(27) - sqrt(3))*1 - (sqrt(108) + 4))**2. 32*sqrt(3) + 66 Simplify ((sqrt(120)/sqrt(4)*-3)/sqrt(10))**2 + -3. 24 Simplify ((sqrt(102) + (sqrt(102) - -1*sqrt(102)) - sqrt(102))*3)/(sqrt(54)/(sqrt(144) - sqrt(9))). 18*sqrt(17) Simplify (sqrt(3) - (3*(sqrt(3) + 1*sqrt(3) + sqrt(3)))**2) + (sqrt(147) + sqrt(147)*2)**2. sqrt(3) + 1080 Simplify -1 + 1 + sqrt(7) - (0 + sqrt(175)). -4*sqrt(7) Simplify 5 + 3 + (2*sqrt(11))**2. 52 Simplify 0 + (2*sqrt(1331) - (5 + sqrt(11)*1))**2 + 4. -210*sqrt(11) + 4880 Simplify ((sqrt(60) - 2*sqrt(1500))/((sqrt(108)*-1)/sqrt(9)))**2. 405 Simplify -2*((sqrt(13) - (0 + sqrt(13))) + 3). -6 Simplify (0 + (2*sqrt(242)*5 - sqrt(242) - sqrt(242)) + 5)**2. 880*sqrt(2) + 15513 Simplify (4 + sqrt(162)*3 - 6*-2*sqrt(162))**2. 1080*sqrt(2) + 36466 Simplify ((sqrt(480) + sqrt(480)*-1)/sqrt(12))/sqrt(8). 0 Simplify (-5 + -1*sqrt(2205) + (sqrt(2205) + (sqrt(2205) + 0 - sqrt(2205)))*-6)**2. 1470*sqrt(5) + 108070 Simplify -1 + ((sqrt(2160) - (-2*sqrt(2160) - sqrt(2160)))/sqrt(12))**2. 2879 Simplify sqrt(85)/(sqrt(30)/sqrt(54)). 3*sqrt(17) Simplify (sqrt(17) + sqrt(85)/sqrt(5) + 0 - (2 + sqrt(17))*6)**2. 96*sqrt(17) + 416 Simplify sqrt(114)/(sqrt(6) + (sqrt(18)/sqrt(3) - sqrt(6))) - (-1 + sqrt(1900)) - (1 + sqrt(1539))**2*3. -4619 - 63*sqrt(19) Simplify (sqrt(22) + sqrt(22) + (sqrt(1408) - sqrt(1408)*1))/(sqrt(162)*-2) + 4. -sqrt(11)/9 + 4 Simplify (3*sqrt(102)*-1)/(sqrt(6) + (sqrt(72) - (sqrt(72) + -3*sqrt(72) - sqrt(72)))/sqrt(12)). -3*sqrt(17)/5 Simplify 3*(5 + (sqrt(4)/sqrt(2)*-6 + sqrt(2) - sqrt(2)) + 3). -18*sqrt(2) + 24 Simplify (((sqrt(66) + sqrt(66) + (sqrt(66) - ((1*sqrt(66) - sqrt(66)) + sqrt(66) - sqrt(66))))*5)/sqrt(6))**2. 2475 Simplify sqrt(30)/sqrt(6) + -3 + ((sqrt(50)*-3)/sqrt(10))**2. sqrt(5) + 42 Simplify (sqrt(132) - (sqrt(132) - (-5*-2*sqrt(132) + sqrt(132))))/(sqrt(24)/(sqrt(32) + sqrt(2))). 55*sqrt(11) Simplify (sqrt(320) - (-1 + sqrt(320)*1))*-6. -6 Simplify (sqrt(672)/(2*sqrt(12)))/(sqrt(72)/(sqrt(18)/sqrt(2))). sqrt(7)/2 Simplify sqrt(14)/(sqrt(1078)/sqrt(11)). sqrt(7)/7 Simplify (2*sqrt(80))**2 + sqrt(80) + -4. 4*sqrt(5) + 316 Simplify (sqrt(55)/(sqrt(5) - sqrt(5)*-2) - (1 + sqrt(704))) + 1. -23*sqrt(11)/3 Simplify sqrt(27)/(sqrt(9) + (2*sqrt(81) + sqrt(81))/sqrt(9)). sqrt(3)/4 Simplify 2*((3 + sqrt(3) - sqrt(3)) + sqrt(3))**2 - (sqrt(3)*-4 + -3). 27 + 16*sqrt(3) Simplify ((sqrt(72)*-2)/sqrt(4))/(-3*sqrt(24)). sqrt(3)/3 Simplify (((sqrt(102) - 4*-1*sqrt(102)) + sqrt(102))/sqrt(6) + 3)*2. 6 + 12*sqrt(17) Simplify sqrt(33)/(sqrt(9)/sqrt(3)) - (3*sqrt(99))**2. -891 + sqrt(11) Simplify -5 + (sqrt(400)/sqrt(8))/sqrt(10). -5 + sqrt(5) Simplify (sqrt(44)/(2*sqrt(4) + sqrt(4)))**2 + sqrt(11) + sqrt(176) + 4. 47/9 + 5*sqrt(11) Simplify sqrt(45)/(sqrt(36)/sqrt(4)) + -1 + sqrt(5) + -5. -6 + 2*sqrt(5) Simplify 2 + (-6*sqrt(11)*-2)**2. 1586 Simplify (2 + sqrt(847) + -4)**2*3. -132*sqrt(7) + 2553 Simplify (1 + (sqrt(832) - (3*sqrt(832) + -2)))**2. -96*sqrt(13) + 3337 Simplify -4 + sqrt(192)*1. -4 + 8*sqrt(3) Simplify (-3*sqrt(104)*-1)/(sqrt(512)*-1). -3*sqrt(13)/8 Simplify ((6*sqrt(130)*-1)/((-2*sqrt(490) - sqrt(490) - sqrt(490)) + sqrt(10))*5)**2. 1300/81 Simplify sqrt(76)/(sqrt(196) - sqrt(196)*-2). sqrt(19)/21 Simplify (sqrt(117)*2)**2 - (sqrt(1872)*-2)**2. -7020 Simplify -5*sqrt(17)*2*-6. 60*sqrt(17) Simplify (sqrt(288)/sqrt(288))/sqrt(12). sqrt(3)/6 Simplify 2*(sqrt(1900) + 1) - 2*(-1 + sqrt(1900)). 4 Simplify sqrt(2448)*-2 + sqrt(2448) + -2. -12*sqrt(17) - 2 Simplify 6*(-4 + (sqrt(99) - (sqrt(99) - (1 + sqrt(99) + -2)))). -30 + 18*sqrt(11) Simplify (sqrt(1872)*1*-2*-3)**2. 67392 Simplify 2*sqrt(5)*-3 - -6*sqrt(15)/sqrt(3). 0 Simplify (3*(sqrt(88) + sqrt(88) + sqrt(88) + sqrt(88)*1 + sqrt(88)))/((sqrt(24) + sqrt(120)/sqrt(5))/sqrt(3)). 15*sqrt(11)/2 Simplify sqrt(56)/(sqrt(200)*-2). -sqrt(7)/10 Simplify sqrt(104)/(-4*sqrt(8)*2). -sqrt(13)/8 Simplify (sqrt(77) + sqrt(77) + -2*(sqrt(77)*-2 + sqrt(77)) + sqrt(77) + sqrt(77))/(sqrt(28)*3 - sqrt(7)). 6*sqrt(11)/5 Simplify (-3*sqrt(2) + 5 - 3*sqrt(162))**2. -300*sqrt(2) + 1825 Simplify 2 + sqrt(102)/((sqrt(42) - sqrt(42)*-1)/sqrt(7)). 2 + sqrt(17)/2 Simplify -1*((-1*sqrt(99))**2 - sqrt(99)). -99 + 3*sqrt(11) Simplify ((sqrt(10) + -2*(sqrt(10) - sqrt(30)/sqrt(3)))/(sqrt(162)*2))**2. 5/324 Simplify (sqrt(190)/(sqrt(40)/(5*sqrt(4))))**2. 475 Simplify ((sqrt(11) + 0)**2 + sqrt(11) + 1 - sqrt(704)*-2) + (-4 + (sqrt(11) - (sqrt(11) + sqrt(44)/sqrt(4) + sqrt(11)))**2)*5. 17*sqrt(11) + 212 Simplify (-4 + -2 + sqrt(19))*-6*2. -12*sqrt(19) + 72 Simplify (sqrt(3)*2*-1 + 2 + -2 + sqrt(3) + sqrt(3))**2. 0 Simplify 3 + (sqrt(75) - (sqrt(75)*1)**2). -72 + 5*sqrt(3) Simplify (-2*3*sqrt(300) + 0)**2. 10800 Simplify 3 + (sqrt(32)/sqrt(4) - sqrt(8))**2 + 4*sqrt(2)*-1. -4*sqrt(2) + 3 Simplify -2 + sqrt(128)*2. -2 + 16*sqrt(2) Simplify (0 + (sqrt(171) + 1)**2 - sqrt(171) - sqrt(171) - sqrt(171))*-3*-2. -18*sqrt(19) + 1032 Simplify 5 + sqrt(176) + 3. 8 + 4*sqrt(11) Simplify -3*(-3 + (sqrt(17) + 1 - sqrt(17)) + 5). -9 Simplify -2*(-1*sqrt(3)*-4)**2. -96 Simplify (sqrt(108)*2)/(-6*sqrt(9)*1). -2*sqrt(3)/3 Simplify (sqrt(17) + sqrt(204)/(sqrt(36)/sqrt(3)))*-2. -4*sqrt(17) Simplify 4 + (sqrt(30)/sqrt(6) - sqrt(5)) + sqrt(40)/(sqrt(8) + 3*sqrt(8)). sqrt(5)/4 + 4 Simplify ((sqrt(42)/sqrt(2))/sqrt(7) - 1*sqrt(363))**2. 300 Simplify (sqrt(156) - (sqrt(156) + sqrt(156) + -1*sqrt(156)*-2))/(sqrt(1200)*1). -3*sqrt(13)/10 Simplify ((sqrt(209) - (sqrt(209)*3 + sqrt(209)) - sqrt(209))*3)/(sqrt(22)/sqrt(2)*2). -6*sqrt(19) Simplify 1*(sqrt(12)/sqrt(4))**2 - (-1*sqrt(243) + sqrt(243)). 3 Simplify 2*-6*(sqrt(80) + sqrt(80) + -2)**2. -3888 + 384*sqrt(5) Simplify 6*(sqrt(605) + 1). 6 + 66*sqrt(5) Simplify (sqrt(20) + sqrt(5))*3*-4. -36*sqrt(5) Simplify sqrt(684)*2 + ((-2*sqrt(152) - sqrt(152))/sqrt(8))**2. 12*sqrt(19) + 171 Simplify -3 + sqrt(76)/(sqrt(4) - sqrt(16)) + sqrt(38)/(sqrt(2) + (sqrt(32) - sqrt(2) - sqrt(2))) + sqrt(19). -3 + sqrt(19)/3 Simplify sqrt(2) - (5 + sqrt(2)*-2) - sqrt(22)/sqrt(176). -5 + 11*sqrt(2)/4 Simplify (sqrt(76)/sqrt(100))**2 + 5 + sqrt(76). 144/25 + 2*sqrt(19) Simplify (sqrt(7) - sqrt(42)/sqrt(6))*-5 - (3 + sqrt(252)). -6*sqrt(7) - 3 Simplify sqrt(42)/(sqrt(216) + sqrt(6) + sqrt(6)). sqrt(7)/8 Simplify -1*-4*(-3*sqrt(304) + (sqrt(19) + 1)*5)**2. -280*sqrt(19) + 3824 Simplify sqrt(119)/(sqrt(7) - sqrt(42)/sqrt(6)*-1)*-3. -3*sqrt(17)/2 Simplify -1*(sqrt(2)*2 + sqrt(2)) + -3 + (sqrt(18))**2. -3*sqrt(2) + 15 Simplify (sqrt(5) - (sqrt(15)/sqrt(3) + -4))**2 + (5 + sqrt(20))**2. 20*sqrt(5) + 61 Simplify 1 + sqrt(49)/(sqrt(112) + (2*sqrt(112) - sqrt(112))). sqrt(7)/8 + 1 Simplify ((sqrt(24) + -5*sqrt(24))/sqrt(8))**2 + (sqrt(3) - (sqrt(3) + -5*sqrt(108))). 48 + 30*sqrt(3) Simplify 0 + sqrt(80) + (sqrt(605) + 0)**2. 4*sqrt(5) + 605 Simplify (-2*sqrt(3888))**2 + sqrt(27) - (sqrt(168)/(sqrt(16)/sqrt(2)))/sqrt(7). 2*sqrt(3) + 15552 Simplify sqrt(34)/sqrt(18) - sqrt(544)/sqrt(2). -11*sqrt(17)/3 Simplify ((sqrt(36)/sqrt(2)*-5)/(-2*sqrt(441)))**2. 25/98 Simplify (sqrt(700) + sqrt(700)*2 + 2 - (2 + sqrt(700) + -1))**2 + -1. 40*sqrt(7) + 2800 Simplify (0 + ((sqrt(13) + 4 + 4)**2 - sqrt(13)))*-3. -231 - 45*sqrt(13) Simplify -4 + (sqrt(72) - (-1*sqrt(72)*-2)**2 - sqrt(72)) + -4. -296 Simplify sqrt(24)/(-6*sqrt(588)). -sqrt(2)/42 Simplify (sqrt(96)/sqrt(4))/sqrt(8) + sqrt(300)*6. 61*sqrt(3) Simplify (sqrt(19)*-1*4 - (-4 + sqrt(57)/sqrt(3)) - sqrt(76)/(sqrt(4)*-1 + sqrt(4) + sqrt(4))*-2)**2. -24*s
{ "pile_set_name": "DM Mathematics" }
- k. Determine a(d(q)). 11*q**2 Let n(c) = -c**2. Let q(m) = 421741*m**2. Calculate n(q(u)). -177865471081*u**4 Let x(u) = -511215*u. Let o(y) = 4*y. What is o(x(d))? -2044860*d Let a(j) = 7*j - 6. Let m(y) = -20*y + 17. Let c(n) = 17*a(n) + 6*m(n). Let p(q) be the second derivative of -q**3/3 - 793*q. Determine c(p(r)). 2*r Let p(r) = -r. Let o(b) be the second derivative of 41*b**3/6 - 73*b. What is p(o(t))? -41*t Suppose 70 = -4*h + 11*h. Let b(g) = -2*g + 14*g**2 - h*g**2 + 2*g. Let q(a) = 0*a - a - a + 0*a. Calculate q(b(c)). -8*c**2 Let s(u) = 2*u**2 - 2207*u. Let w(o) = -4*o**2. Give s(w(l)). 32*l**4 + 8828*l**2 Let r(t) be the third derivative of -2*t**5/15 - 54*t**2. Let h(y) be the first derivative of 2*y**3/3 - 3. What is h(r(f))? 128*f**4 Let x(j) = 2*j**2 - 171. Let c(l) = -391*l. What is c(x(t))? -782*t**2 + 66861 Let u(j) = j**3 + 6*j**2 - 9*j - 9. Let f be u(-7). Let m(a) = -2*a - f + 5. Let w(n) be the third derivative of -3*n**5/10 - 2*n**2 - 2. Give w(m(l)). -72*l**2 Let z(w) = -3*w**2. Let r(k) = -59*k + 65. Let u(s) = 29*s - 30. Let m(j) = 6*r(j) + 13*u(j). Determine m(z(l)). -69*l**2 Let y(a) = -a. Let h(s) = 46*s**2 - 15 - 18 - 21 + 54. Calculate h(y(g)). 46*g**2 Let r(m) be the second derivative of -m**3/6 - 199*m. Let i(p) be the second derivative of 2*p**3/3 - p**2/2 - 5*p. What is i(r(b))? -4*b - 1 Let h(r) = -3*r. Let m(j) = 10*j. Let q(s) = -14*h(s) - 4*m(s). Let a(i) = 3*i**2. What is a(q(w))? 12*w**2 Let d(y) = -49*y**2. Let b(i) be the first derivative of -i**2/2 - 215. What is d(b(v))? -49*v**2 Let f(k) = 14*k - 11*k - 3*k + 3*k. Let g(u) = -26*u**2. Give g(f(d)). -234*d**2 Let r(m) = m**3 + 9*m**2 - 12*m - 10. Let w be (-42)/3 + 0 + 4. Let a be r(w). Let l(z) = -99*z - a*z**2 + 53*z + 46*z. Let h(u) = -u. Calculate l(h(g)). -10*g**2 Let r(w) = 4938*w**2. Let z(o) = 399*o**2. What is r(z(l))? 786134538*l**4 Let m(z) = 30*z. Let n(a) = -35*a - 8*a + 40*a. What is m(n(v))? -90*v Let c(g) = 0 + 0 - 4*g. Let r be 8/6 - (-8)/12. Let s(x) = -25*x**2 + 53*x**r - 27*x**2. Calculate c(s(m)). -4*m**2 Let p(l) = 2*l + 1770. Let n(c) = 14*c. Calculate n(p(k)). 28*k + 24780 Let p(y) = 873*y. Let g(j) = -14*j**2 + 37*j**2 - 25*j**2. Determine p(g(h)). -1746*h**2 Let j(l) be the first derivative of -2*l**3/3 + 162. Let f(m) = 7 + 3*m - 7. Calculate f(j(b)). -6*b**2 Let c(v) = -6*v**2. Let z(j) = -14*j**2 - 1425*j - 1. What is z(c(r))? -504*r**4 + 8550*r**2 - 1 Let z(m) be the third derivative of 8*m**2 + 0 + 0*m**3 + 1/12*m**4 + 0*m. Let b(l) = 4*l. Calculate b(z(n)). 8*n Let c(r) = 315*r**2. Let j(y) be the first derivative of 2*y**3/3 - 238. Calculate c(j(k)). 1260*k**4 Let c(p) = 117*p + 15*p + 92*p. Let q(t) = 3*t. Determine q(c(i)). 672*i Let w(q) = -17*q. Let n(h) = 2*h**2 + 0*h - 15*h + 12*h + 3*h. Give n(w(o)). 578*o**2 Let j(h) = 5*h**2. Let r(l) be the third derivative of -l**5/30 + 27*l**2. Give r(j(x)). -50*x**4 Let r(v) = 16*v + 530. Let f(i) = 3*i**2. Give f(r(d)). 768*d**2 + 50880*d + 842700 Let b(a) = -5*a**2 - 4*a**2 + 10*a**2. Let u(g) be the second derivative of g**7/2520 - g**4/4 - 3*g. Let t(h) be the third derivative of u(h). Give t(b(x)). x**4 Let i(k) = -7*k. Let p(z) = -2971*z. What is p(i(u))? 20797*u Suppose -4*j = -3*j - 2. Let x(o) = -2*o + j*o - o. Let d(h) be the first derivative of h**3/3 - 282. Give d(x(g)). g**2 Suppose 2*d - 10 = v + 2*v, -3*v - 25 = -5*d. Let k(h) = -d*h**2 + 15*h**2 - 8*h**2. Let o(j) = 7*j - 7. Determine k(o(t)). 98*t**2 - 196*t + 98 Let a(s) = 7*s. Let n(z) = z + 11. Let y(t) = 1. Let l(j) = -6*n(j) + 66*y(j). Let o(k) = -5*a(k) - 6*l(k). Let c(d) = 8*d**2. Give c(o(x)). 8*x**2 Let w(j) = 2*j. Let n(f) be the third derivative of -f**5/60 - 7*f**4/4 - 192*f**2. Determine w(n(u)). -2*u**2 - 84*u Suppose -2*x = -x - 2. Let d(v) = 1. Let z(m) = -m + 2. Let s(w) = -d(w) + z(w). Let a(q) = 2. Let o(l) = x*s(l) - a(l). Let p(b) = -3*b**2. Give p(o(t)). -12*t**2 Let z(n) = -3*n**2. Let w(g) = 33*g. Let q(r) = -17*r + 13*r + 5*r. Let y(o) = -11*q(o) + w(o). Give z(y(p)). -1452*p**2 Let g(c) = 5*c**2 - 4. Suppose 5*x = 9*x - 16. Let l(w) = -11*w**2 + 9. Let a(h) = x*l(h) + 9*g(h). Let m(j) = 48*j. Determine m(a(r)). 48*r**2 Let p(h) = -11*h**2 - 9*h. Let y(s) = -5*s**2 - 4*s. Let r(l) = -4*p(l) + 9*y(l). Let a = -320 + 462. Let g(v) = -142*v + a*v + v**2. Calculate r(g(z)). -z**4 Suppose 0*f = f + 9. Let y(n) = -10*n**2 + 9*n - 9. Let g(t) = -5*t**2 + 4*t - 4. Let z(a) = f*g(a) + 4*y(a). Let m(o) = 11*o. Determine m(z(p)). 55*p**2 Let o(s) = -2*s. Let g(b) = 1675*b**2 - 9*b - 36. Let j(h) = -419*h**2 + 2*h + 8. Let a(d) = 2*g(d) + 9*j(d). What is a(o(k))? -1684*k**2 Suppose 3*k - 4*k = 3*u - 3, 0 = 3*k + 5*u - 9. Let d be k + (-3 - -1)/2. Let h(c) = c**d + 13 - 13. Let r(m) = -15*m. Give r(h(t)). -15*t**2 Let p(k) = -2*k**2. Let b(n) = 3*n - 524. Determine b(p(a)). -6*a**2 - 524 Let y(p) = -2. Let f(i) = 6*i + 8. Let v(t) = -f(t) - 4*y(t). Suppose 5*s + 3*q - 13 = 0, 0 = 4*s - 3*s - 4*q + 2. Let l(j) = 2 + 3*j - s - 2*j. Give v(l(w)). -6*w Let a(i) = -9*i - 31*i - 32*i + 79*i. Let z(r) = -4*r**2. Calculate z(a(w)). -196*w**2 Let b = -13 - -19. Let i be b/15*(3 + 2). Let o(k) = 5*k + 3*k - 5*k - i*k. Let f(y) = y**2. Determine f(o(u)). u**2 Let g(v) = 13*v**2. Let b(c) = 11*c + 17*c - 7*c - 6*c + 22*c. What is g(b(j))? 17797*j**2 Let y(z) = 15*z - 2*z - 9*z. Let j(u) = -u. Let i(x) = -5*j(x) - y(x). Let r(w) = -11*w. Calculate i(r(m)). -11*m Let t(p) = -428*p**2. Let b(g) = 719*g**2. Give t(b(v)). -221259308*v**4 Let f(v) = 6*v**2. Let y(t) be the third derivative of 17*t**4/24 - 59*t**2 + 2. Calculate f(y(q)). 1734*q**2 Suppose 14 = 4*j - 3*a, -3*a = -3*j - 5*a + 2. Let s(q) = 4*q**j + 27*q**2 - 14*q**2. Let u(n) = -n**2. Calculate s(u(h)). 17*h**4 Let w(h) = h - 1. Let a(z) = -3*z + 2. Let g(q) = -a(q) - 2*w(q). Let x(l) = 9*l - 3*l - 6*l + 11*l**2. What is g(x(m))? 11*m**2 Let r(l) = -10*l**2. Let k(d) = d**2 - 18*d - 38. Let o be k(20). Let t(p) = 36*p**2 + 28*p**o - 66*p**2. Determine t(r(s)). -200*s**4 Let f(m) = 428*m**2 - 1284*m. Let q(y) = y. Let g(o) = -f(o) - 1284*q(o). Let s(u) = 2*u**2. Give s(g(j)). 366368*j**4 Suppose 0 = 5*o + 5 - 20. Let w(g) = 3*g + 3*g - o*g - 2*g. Let z(m) = -m**2. Give w(z(t)). -t**2 Let m(j) = 11*j + 3 + 5 - 8. Let w(p) be the second derivative of p**3/6 + 4*p. Determine w(m(x)). 11*x Let i(y) = -2*y**2 + 3*y + 3. Let n(b) = 4*b + 6*b**2 + b - 1 - 9*b**2 + 6. Let f(h) = 5*i(h) - 3*n(h). Let a(o) = 211 - 4*o**2 - 211. Determine a(f(q)). -4*q**4 Let q(x) = 275738*x. Let c(k) = 9*k**2. What is c(q(w))? 684283001796*w**2 Let v(d) = 194*d. Let a(o) = -305*o**2. Calculate a(v(z)). -11478980*z**2 Let w(s) be the third derivative of -s**4/24 - 873*s**2. Let m(i) = -675*i**2. Determine w(m(r)). 675*r**2 Let k(a) = -2*a. Let w(u) be the first derivative of u**5/40 - u**3 + 3. Let c(h) be the third derivative of w(h). What is k(c(s))? -6*s Let s(p) = 811*p**2 - 1174*p**2 + 360*p**2. Let o(r) = -r + 3*r - r. Calculate o(s(q)). -3*q**2 Let c(z) = 1852*z**2. Let s(w) = -25*w. What is s(c(p))? -46300*p**2 Let u(r) = -13*r. Let q be -15 - -9 - 1*-3. Let c be ((-3)/(-2))/(q/(-4)). Let p(l) = -26*l - c*l**2 + 26*l. Give u(p(h)). 26*h**2 Let o(j) = -10650*j**2. Let w(v) = -v**2. Give o(w(y)). -10650*y**4 Let y(f) be the first derivative of 0*f**2 + 0*f - 23 + 5/3*f**3. Let s(q) = -2*q. Give s(y(n)). -10*n**2 Let b(m) = 4016 + 0*m + 0*m - 3*m - 4016. Let q(n) = 5*n**2 - 3*n. Calculate b(q(o)). -15*o**2 + 9*o Let t be -3*(-16)/(-12) + -3. Let j = -5 - t. Let y(c) = 0*c**2 - 4*c**2 - c**2 - c**j. Let o(z) = -z. Calculate y(o(i)). -6*i**2 Let p be 16 + (6 - 3 - 1). Let m(o) = -11*o - p*o + 32*o. Let g(k) = 3*k. Calculate g(m(j)). 9*j Let s(y) = -14*y + 8. Let b(a) = 5*a - 3. Let k(l) = 11*b(l) + 4*s(l). Let o be k(-12). Let f(q) = o*q + 61 - 61. Let g(i) = -i. Determine f(g(r)). -11*r Let i(q) = q**2. Suppose 14 = 11*r + 14. Let j(f) be the first derivative of r*f**2 + 0*f + 2/3*f**3 + 4. Calculate j(i(u)). 2*u**4 Let k(f) = 3*f. Let b(n) = 7259 - 7259 - 5*n. Calculate b(k(m)). -15*m Let j(d) be the first derivative of d**5/40 + 32*d**3/3 - 2. Let v(f) be the third derivative of j(f). Let i(c) = -3*c. What is v(i(u))? -9*u Let h(b) = 207143*b**2. Let i(j) = 2*j
{ "pile_set_name": "DM Mathematics" }
6755 Calculate the common denominator of 7/66 and -59/2145. 4290 Calculate the least common multiple of 3180 and 85860. 85860 Find the common denominator of 85/17552 and 109/52656. 52656 What is the lowest common multiple of 1500 and 1425? 28500 What is the smallest common multiple of 337850 and 29000? 6757000 What is the common denominator of -15 and -46/1509381? 1509381 What is the least common multiple of 75495 and 60? 301980 What is the lowest common multiple of 1837 and 41082? 451902 Calculate the lowest common multiple of 90 and 4338. 21690 Calculate the common denominator of -107/1357356 and -67/23730. 6786780 Find the common denominator of 25/16 and 51/1576. 3152 What is the common denominator of 117/12656 and -29/400? 316400 What is the common denominator of 119/186 and -139/7230? 224130 What is the common denominator of -43/846 and 121/522? 24534 Calculate the least common multiple of 282 and 42629. 255774 What is the common denominator of 23/754865 and -9/17555? 754865 What is the lowest common multiple of 38 and 38294? 727586 What is the least common multiple of 757088 and 1604? 757088 What is the smallest common multiple of 7749 and 70? 77490 What is the common denominator of -55/96 and 13/38240? 114720 Calculate the common denominator of -127/360 and -167/388920. 1166760 Calculate the least common multiple of 35160 and 9. 105480 Calculate the lowest common multiple of 140 and 56. 280 What is the common denominator of -29/8380 and 75/22? 92180 What is the lowest common multiple of 4109 and 42? 24654 What is the common denominator of -7/36 and -59/93? 1116 Calculate the smallest common multiple of 180000 and 288. 180000 What is the common denominator of 127/70602 and 69/258874? 776622 Find the common denominator of -23/150 and 61/42885. 428850 What is the common denominator of 5/23808 and -101/12? 23808 What is the common denominator of -115/14 and -143/617334? 4321338 What is the common denominator of 107/210294 and 47/30042? 210294 Calculate the common denominator of -59/16016 and 58/1463. 304304 Find the common denominator of -127/989550 and 113/20. 1979100 What is the common denominator of -71/54 and 37/7134? 64206 Calculate the smallest common multiple of 72 and 100852. 1815336 What is the lowest common multiple of 193914 and 1596? 387828 Find the common denominator of -62/3087 and -91/12. 12348 Calculate the common denominator of 57/650 and -63/107185. 1071850 Calculate the least common multiple of 1735685 and 85925. 8678425 Calculate the common denominator of -14/149637 and 73/6. 299274 Find the common denominator of 29/12 and 59/11436. 11436 What is the least common multiple of 17437 and 6580? 348740 What is the lowest common multiple of 964512 and 85104? 2893536 What is the common denominator of -95/5144 and 25/16? 10288 Calculate the common denominator of 67/2704 and -61/9680. 1635920 Find the common denominator of 113/3096696 and -71/72. 9290088 What is the least common multiple of 132756 and 138? 132756 Calculate the smallest common multiple of 10 and 757458. 3787290 What is the smallest common multiple of 60 and 529572? 2647860 What is the least common multiple of 30 and 416034? 2080170 What is the smallest common multiple of 904 and 70851? 566808 Find the common denominator of 58/60705 and 137/30. 121410 What is the smallest common multiple of 4134 and 131664? 6978192 Calculate the lowest common multiple of 10248 and 4697. 112728 What is the common denominator of -27/439480 and 13/219740? 439480 Calculate the common denominator of -37/540 and -25/666. 19980 Calculate the common denominator of 31/6749 and 37/902778. 15347226 Calculate the least common multiple of 57384 and 282. 2697048 Calculate the least common multiple of 540 and 51120. 153360 Find the common denominator of -149/372204 and -67/1688. 744408 Calculate the least common multiple of 7 and 3886687. 3886687 Calculate the common denominator of 14/125 and -91/206. 25750 What is the common denominator of 37/108 and -65/34263? 137052 Calculate the common denominator of 14/7955 and 77/2064. 381840 Calculate the smallest common multiple of 4 and 89265. 357060 Find the common denominator of -71/1692 and -27/6580. 59220 Calculate the common denominator of -155/138 and -41/15939. 31878 What is the common denominator of -119/100 and 28/171175? 684700 Calculate the common denominator of 59/3300 and 37/26400. 26400 What is the lowest common multiple of 72990 and 437940? 437940 What is the common denominator of 25/7584 and 167/960? 75840 What is the least common multiple of 5574 and 1316? 3667692 Calculate the common denominator of -131/9948 and -151/72. 59688 Calculate the smallest common multiple of 8694 and 2898. 8694 Calculate the lowest common multiple of 15525 and 4800. 993600 Calculate the least common multiple of 10032 and 456. 10032 Find the common denominator of 111/10 and 2/45805. 91610 Find the common denominator of 167/56232 and 45/381128. 3430152 What is the common denominator of 157/1470 and 115/1036? 108780 What is the lowest common multiple of 6690 and 4014? 20070 What is the lowest common multiple of 27288 and 132? 300168 Calculate the least common multiple of 1180107 and 1311230. 11801070 Calculate the common denominator of -10/179 and 25/1611. 1611 What is the smallest common multiple of 63882 and 126? 63882 What is the common denominator of -161/510 and -151/348? 29580 What is the least common multiple of 42672 and 105840? 13441680 Calculate the common denominator of -69/2 and 19/29905. 59810 Calculate the common denominator of -17/878478 and 49/20. 8784780 Calculate the common denominator of -67/50 and 119/256050. 256050 What is the common denominator of -53/14583 and -101/210? 1020810 Find the common denominator of -47/56 and -11/121912. 121912 Calculate the least common multiple of 9172 and 176. 403568 Find the common denominator of 83/74655 and -109/6615. 522585 What is the smallest common multiple of 12 and 11352? 11352 Calculate the least common multiple of 7 and 76273. 533911 Calculate the lowest common multiple of 300771 and 267352. 2406168 Calculate the common denominator of -13/24 and -73/29004. 58008 Calculate the lowest common multiple of 1262 and 492. 310452 Calculate the smallest common multiple of 6750 and 1500. 13500 What is the smallest common multiple of 27 and 103737? 933633 Find the common denominator of 127/4032 and -17/3360. 20160 Calculate the common denominator of -38/2331 and -56/2997. 20979 What is the least common multiple of 2200 and 224? 61600 What is the common denominator of -47/2426 and -111/10? 12130 What is the least common multiple of 7931 and 103? 7931 What is the smallest common multiple of 155007 and 68892? 620028 What is the least common multiple of 176761 and 52? 707044 Calculate the common denominator of 89/12 and 137/150756. 150756 What is the least common multiple of 36 and 75372? 226116 What is the common denominator of 76/470115 and 57/50? 4701150 Calculate the common denominator of -3/14614 and 109/10. 73070 Find the common denominator of 8/360767 and -53/327970. 3607670 Find the common denominator of 41/22884 and 117/95350. 572100 What is the least common multiple of 1445 and 43? 62135 Calculate the lowest common multiple of 210 and 111804. 559020 Find the common denominator of 112/6435 and 43/1980. 25740 What is the lowest common multiple of 176 and 65776? 723536 What is the common denominator of 37/10 and 49/164760? 164760 Calculate the lowest common multiple of 186048 and 7344. 558144 What is the lowest common multiple of 450 and 246825? 493650 Calculate the common denominator of -123/6590 and -89/1318. 6590 Find the common denominator of 71/430446 and 13/48. 3443568 What is the common denominator of 3/1040 and 127/48132? 12514320 Find the common denominator of 32/3 and -55/1276094. 3828282 Calculate the common denominator of -7/10062 and 59/684. 382356 What is the smallest common multiple of 60536 and 105? 908040 Calculate the lowest common multiple of 396 and 4644. 51084 Calculate the least common multiple of 22 and 267267. 534534 Calculate the common denominator of -161/58440 and -157/14610. 58440 What is the lowest common multiple of 96 and 3584? 10752 What is the common denominator of -43/4
{ "pile_set_name": "DM Mathematics" }
+ 4*y + 8*y - y - 55 - 30. -3*y - 85 Collect the terms in 98*t - 7*t**2 - 3 + 4 + 91*t - 259*t - 7*t**3 - 246*t. -7*t**3 - 7*t**2 - 316*t + 1 Collect the terms in -4 + 272*m + 261*m - 849*m + 241*m + 4. -75*m Collect the terms in -3*l - l - 1433*l**3 + 4282*l**3 - 1421*l**3 + 4*l - 1430*l**3. -2*l**3 Collect the terms in 338*g**3 - 170*g - 673*g**3 + 326*g - 156*g + 339*g**3. 4*g**3 Collect the terms in -1196*m**2 - 6813*m**2 - 9956*m**2. -17965*m**2 Collect the terms in -19017798 - 19017802 - 10*c + 38035580. -10*c - 20 Collect the terms in 460410*b + 2 - 2 + 113451*b - 55023*b. 518838*b Collect the terms in 144 - 297*v**2 - 4*v - 263*v**2 + 0*v - 109. -560*v**2 - 4*v + 35 Collect the terms in -160*p**3 - 28*p**2 + 2077232 - 2077231 + 28*p**2. -160*p**3 + 1 Collect the terms in -36 - 6 + 17 + 23 + 28*b + 4*b. 32*b - 2 Collect the terms in -6310088*t**3 + 12620275*t**3 - 6310184*t**3. 3*t**3 Collect the terms in -240295 - z + z + 92*z**2 + 240295. 92*z**2 Collect the terms in -23*k - 44*k + 369*k**3 + 91*k - 361*k**3. 8*k**3 + 24*k Collect the terms in -8 + 4 - 1429632*u + 4. -1429632*u Collect the terms in -93264376*r**2 + 46632193*r**2 + 46632182*r**2 - 20. -r**2 - 20 Collect the terms in 0*r**3 - 492*r**2 - 13*r**3 + 955*r**2 + 3*r**3 - 463*r**2. -10*r**3 Collect the terms in 51 - 102 + 270*w + 46. 270*w - 5 Collect the terms in -483242*n + 0*n**3 + 6*n**3 + 18*n**3 + 483242*n - 3*n**2. 24*n**3 - 3*n**2 Collect the terms in 2 - 507843*p - 3 + 1. -507843*p Collect the terms in -1545 - 1548 + 3093 + 101971*x. 101971*x Collect the terms in -4 + 87*s**2 + 516*s**2 + 106*s**2 + 257*s**2. 966*s**2 - 4 Collect the terms in 84 + m**2 + 56 - 223 + 3*m + 9*m + 83. m**2 + 12*m Collect the terms in -682*q**3 - 1796916*q**2 + 1796916*q**2. -682*q**3 Collect the terms in 467 - 1384 + 459 - 41723*j + 458. -41723*j Collect the terms in 11*f**2 + 5*f**2 - 12555 + 8*f - 2*f**2 + 12548. 14*f**2 + 8*f - 7 Collect the terms in 0*p**3 + 11662845*p + p**3 - 11662845*p. p**3 Collect the terms in 1284*n - 2*n**2 - 85*n**3 + 2*n**2 - 21*n**3. -106*n**3 + 1284*n Collect the terms in -494*x**2 + 120617849108*x - 120617849108*x. -494*x**2 Collect the terms in 46038*q**2 - 23312*q**2 - 22724*q**2. 2*q**2 Collect the terms in 11 - 14 - 6 - 8 + 17 + 18*z. 18*z Collect the terms in 75715567 + 2*p - 75715568 + 12*p**2 - 19*p. 12*p**2 - 17*p - 1 Collect the terms in -53*c**2 - 3 + 3 + 2615*c**2 - 5*c**2 - 893*c**2. 1664*c**2 Collect the terms in 611012*n - 1462*n - 7 + 7. 609550*n Collect the terms in -2997*g + 6169*g - 3184*g. -12*g Collect the terms in 6*n**3 - 211 - 211 - 221 - 200 + 843. 6*n**3 Collect the terms in 2031*i**2 - 667*i**2 - 694*i**2 - 668*i**2 + 128*i**3. 128*i**3 + 2*i**2 Collect the terms in -22*x - 13*x - 23*x - 38*x - 16*x + 147*x. 35*x Collect the terms in 29 + 19 - 1110*r - 118 + 22 + 22 + 27. -1110*r + 1 Collect the terms in 253501*b**2 - 126910*b**2 - 126714*b**2. -123*b**2 Collect the terms in -6*x**3 - 2753*x - 16*x**2 - 2 + 1415*x + 1338*x. -6*x**3 - 16*x**2 - 2 Collect the terms in -126526*m - 126518*m - 126527*m - 126519*m + 506088*m. -2*m Collect the terms in 854*p**2 - 98*p + 98*p + 21370*p**2. 22224*p**2 Collect the terms in -26*r**2 + 71*r**2 - 34*r**2 + 85 - 3*r**3 - 11*r**2. -3*r**3 + 85 Collect the terms in -11396*r - 71218*r - 39668*r. -122282*r Collect the terms in -153639*x - 153037*x + 306679*x. 3*x Collect the terms in 393 + 26*h - 757 + 2*h**2 + 375. 2*h**2 + 26*h + 11 Collect the terms in 244*q - 1 + 14 - 10 - 3. 244*q Collect the terms in -11179*r + 12 + 0 - 16481*r. -27660*r + 12 Collect the terms in -177 - d + 3390 - 3*d - 37*d**2 + 4*d. -37*d**2 + 3213 Collect the terms in -3010047412832 + 3010047412832 - v**3. -v**3 Collect the terms in 5154*s**3 - 1 - 10087*s**3 + 4891*s**3. -42*s**3 - 1 Collect the terms in 2821*u + 2012*u + 27200*u. 32033*u Collect the terms in -56*s + 2300 + 2584 + 133*s - 4884. 77*s Collect the terms in -45*h + 5*h + 27*h - 296 - 2*h**2 + 13*h. -2*h**2 - 296 Collect the terms in -433 - 206 - 211 - 4*o - 12*o**2 + 9*o**2. -3*o**2 - 4*o - 850 Collect the terms in -66 - 63 + 239 - 54 - 56 - 46*r. -46*r Collect the terms in 189 - 199 + 633*v + 57*v + 314*v + 171*v. 1175*v - 10 Collect the terms in 2154238*b**3 - 1087913*b**3 + 1609042*b**3. 2675367*b**3 Collect the terms in 20*h - 17*h + 2 + 42915*h**3 + h**2 - 2. 42915*h**3 + h**2 + 3*h Collect the terms in 0*z**2 + 0*z**2 + 1269*z**3 - 1124*z**3 - 109*z**3. 36*z**3 Collect the terms in -20652*q + 0*q**2 + 9233*q + 11428*q - q**2. -q**2 + 9*q Collect the terms in -85*k**3 + 111*k**3 + 22*k - 4*k + 16*k - 28*k**3. -2*k**3 + 34*k Collect the terms in 12814*u + 26 + 42 - 12801*u - 101 + 33. 13*u Collect the terms in 2*z - 21666 - 13*z + 21663 + z. -10*z - 3 Collect the terms in -18*n**3 - 247 + 122 - 1515*n + 1509*n + 125. -18*n**3 - 6*n Collect the terms in 134*l + 109*l + 41*l + 53*l + 34*l - 212*l. 159*l Collect the terms in 347*h**2 + 340*h**2 + 335*h**2 + 120*h**3 - 1022*h**2 - 55*h**3 - 2. 65*h**3 - 2 Collect the terms in -5*k**2 + 2447346*k**3 + 2447432*k**3 - 4894772*k**3. 6*k**3 - 5*k**2 Collect the terms in -3413631 - 4*o**3 + 3413631 + 730*o. -4*o**3 + 730*o Collect the terms in 20*n + 7207*n**2 - 54*n + 33*n + 36423*n**2. 43630*n**2 - n Collect the terms in 307*d + 313*d + 85*d - 988*d + 300*d. 17*d Collect the terms in -35936882402*c**2 + 71873764812*c**2 - 35936882411*c**2. -c**2 Collect the terms in -1351*q**3 + 2509*q**3 + 0*q + 0*q - 1062*q**3. 96*q**3 Collect the terms in -53103*f**2 + 23907*f**2 - 66947*f**2 - 10058*f**2. -106201*f**2 Collect the terms in -3209*g - 2951*g + 6123*g. -37*g Collect the terms in -4 - 10 - 40 + 3603*d - 8 + 63. 3603*d + 1 Collect the terms in -18182572916792 + 18182572916792 - 23*f. -23*f Collect the terms in -17047*t**2 - 17237*t**2 - 17095*t**2 + 51090*t**2. -289*t**2 Collect the terms in -876*q + 0 - 7 + 7 + 876*q - 1487*q**3. -1487*q**3 Collect the terms in 52*k - 150*k + 47*k + 56*k - 1168. 5*k - 1168 Collect the terms in 166*k + k + 17*k + 29*k - 48*k + 2 + 99*k. 264*k + 2 Collect the terms in 73*f**3 + 87*f**3 + 1371*f + 438*f. 160*f**3 + 1809*f Collect the terms in 546139890*p + p**2 + 3 - 3 + 546139882*p - 1092279772*p. p**2 Collect the terms in -238*r**3 - 3191968*r + 142*r**3 + 3191973*r. -96*r**3 + 5*r Collect the terms in -5120 - 7060 - 1495 + 3409 + 4*i. 4*i - 10266 Collect the terms in 177*t**2 - 182*t**2 - 23717489*t + 23717489*t. -5*t**2 Collect the terms in -273*o + 791*o - 319*o - 300*o. -101*o Collect the terms in -142 - 2*f**2 - 2*f**2 + 3*f + 5*f**2 - 123. f**2 + 3*f - 265 Collect the terms in 439*s**3 + 63*s - 65*s - 1392 + 1392. 439*s**3 - 2*s Collect the terms in 1033*x - 1033*x + 34865*x**3 - 69776*x**3 + 34909*x**3. -2*x**3 Collect the terms in 3046 + 3031 - 9104 + 2*f**2 + 3027. 2*f**2 Collect the terms in 47*y**2 - 1016*y - 44*y**2 - 124*y**2 - 32*y**2 + 1015*y. -153*y**2 - y Collect the terms in -2540*k**3 + 1014*k**3 + 1523*k**3. -3*k**3 Collect the terms in -53 - 50*s + 8 + 10 - 11 + 7. -50*s - 39 Collect the terms in 0*n + 5*n - 199 - 5*n + 114 - 5*n + 108. -5*n + 23 Collect the terms in 151 - 478 - 9*m + 228. -9*m - 99 Collect the terms in -77 + 171218*n**2 + 77 - 172681*n**2. -1463*n**2 Collect the terms in 234*v**3 + 159433280 - 159433280. 234*v**3 Collect the terms in 18375*m + 18370*m - 2*m**3 - 36745*m + 12 + 13 - 25. -2*m**3 Collect the terms in -109 + 138*o**2 - 102 - 239 + 450. 138*o**2 Collect the terms in 8 - 12 - 10*m**2 + 1156*m + 14*m**2 + 5. 4*m**2 + 1156*m + 1 Collect the terms in 88927 - 88927 - 192806*l. -192806*l Collect the terms in -122813*o**2 + 129 - 260 + 131. -122813*o**2 Collect the terms in 1930173*a + 1929919*a - 3860096*a. -4*a Collect the terms in -5291 + 2*d + 15892 - 2*d**3 - 5300 - 62*d - 5301. -2*d**3 - 60*d Collect the terms in 427*n**3 + 538*n**3 + 423*n**3 - 1804*n**3 + 429*n**3. 13*n**3 Collect the terms in 55*h**3 - 6*h**3 - 1967 - 2740 + 4707. 49*h**3 Collect the terms in 10*r - 80063599778397 + 80063599778397. 10*r Collect the terms in 344 - 23*r - 108 + 7*r - 102 - 11*r - 134. -27*r Collect the terms in 24 + 82 + 45*j + 64 - 68. 45*j + 102 Collect the terms in 57321*n + 96910*n - 154232*n. -n Collect the terms in -3*y - 5*y**2 + 5*y
{ "pile_set_name": "DM Mathematics" }
is the nearest to x in k, 0.3, 3? 0.3 Suppose -9*l - 6 = -10*l. Suppose 0 = l*v + 6*v - 456. Let o be v/(-90) + (-1)/(-20)*4. Which is the nearest to o? (a) 0.4 (b) -0.5 (c) -1/5 c Let y be (3 - 667) + (-3 - 0 - -6). Let p = y + 662. What is the nearest to p in -4, -42, -0.3? -0.3 Let r(z) = -5*z**2 + 30*z - 30. Let v be r(1). Let y = -84/17 - v. Which is the closest to 2/3? (a) 2 (b) 2/9 (c) y (d) -1/10 b Let r = 8 + -7.97. Let l = r + -5.03. Let f = 49343 - 49342. Which is the closest to 0.9? (a) 0 (b) l (c) f c Let s = 1068 + -1071. Let n = 0.06 + -0.06. Let l = 20 + -18. Which is the nearest to n? (a) -0.5 (b) l (c) s a Let p = -0.1187 + 0.0495. Let m = 0.7308 - p. What is the nearest to 0 in 1, m, -4? m Let n = 30 + -25. Suppose -n + 10 = a. Suppose a*z - 4*z - 4*y = -1, 4*y + 1 = -z. What is the closest to 0.1 in -4/7, 1/6, z? 1/6 Let t = 1.1484 - 0.1484. Which is the closest to t? (a) 8 (b) -5 (c) 1 c Let u = -0.829 + 0.989. Let g = -2.92 - 0.08. Let x = g + 3. What is the closest to x in 3, u, -0.3? u Let b = -0.196 + -163.804. Let y = 155 + b. What is the closest to -1 in -1, 3, y? -1 Let w = -74.25 - -69.25. Which is the closest to 11? (a) w (b) 6 (c) -3 b Let v = 60 - 58. Let k be (v/12)/(6/48). Let p be (2/(-7))/((-24)/(-8)). What is the closest to 1 in 2, p, k? k Let v = -147/8 - -37/2. Let g = 63794 - 63794.5. Which is the closest to -0.01? (a) -0.1 (b) g (c) v a Let n(c) = -2*c - 7. Let y be n(-5). Suppose y*k + 3*k + 18 = 0. Let i = 1.1936 - 0.1936. What is the nearest to i in -0.27, 2, k? 2 Let d = 1731.783 - -0.217. Which is the nearest to 0.1? (a) -1 (b) d (c) 4/3 a Let c = -0.322 - -147.322. Let z = c + -147.2. What is the nearest to -19 in z, -4, -1? -4 Suppose 43*o + 105 = -345 - 66. What is the nearest to 14 in -2, -1, o? -1 Suppose -56*u = -58*u + 14, -u - 8 = -3*l. Which is the nearest to 552? (a) 2 (b) l (c) 1 b Suppose 24*y = -11*y + 1260. Let d be -1*y/(-42)*(-7)/(-8). Which is the closest to 0? (a) -0.6 (b) -6/7 (c) d a Let d = 3701 - 3690.985. Let w = d + -0.015. Which is the nearest to 1/3? (a) w (b) -2/21 (c) 4 b Let g = -4684 + 4686. Which is the nearest to -3? (a) g (b) 0.7 (c) 0.2 (d) -2/7 d Let f = 14.097 - 14.597. Let o = 15.2 - 15. What is the nearest to -1/6 in f, o, 5/3? f Let h = -1.9 - -2. Let p be 1 + 10/(-14) + (5068/98 - 48). Which is the closest to h? (a) 0.5 (b) p (c) -3/7 a Let z = 1495 - 1588. Which is the nearest to -1? (a) z (b) -0.5 (c) 3 b Let p = 0.36 - -0.14. Let o = 135/89 + -1433/534. Which is the closest to -3? (a) -2/5 (b) -4 (c) o (d) p b Let k be (-4 - 20/(-8))*130. Let o = -2143/11 - k. Let x = 232/15 - 46/3. What is the nearest to 1 in x, o, -5? o Let v = -0.11 + -10.89. Let c = 19 + v. Let q = 2244.1 + -2244. What is the nearest to q in c, 3/5, -2? 3/5 Let w = -2701 + 24299/9. What is the nearest to -4 in 0.4, -1/2, w? w Let l(p) = -p**2 + 12*p + 2169. Let k be l(53). What is the nearest to -1 in -0.3, k, 1/11, 0.2? -0.3 Let x = -35.145 + 35.245. Suppose 3*n + 2*n - 5 = 0. Which is the closest to n? (a) 8 (b) -0.1 (c) -5 (d) x d Let s = -2486 + 2483. What is the closest to s in 11, -0.4, 4, 0? -0.4 Let l = -1035.5 - -1036. Which is the nearest to -0.7? (a) l (b) -4/3 (c) -2 (d) -14 b Let l = 18.7 - 19. Let s = 5.9 - 0.9. Let p = 0.1166 + -0.3166. What is the closest to p in s, 2, l? l Suppose 3*v + t = 2, 3 = -2*v + 3*t - 3. Let q = 4.10714 - 36.10714. Let k be (3/(-6))/(3/(-4)). Which is the nearest to v? (a) 2/13 (b) k (c) q a Let b = -2.4449 - 0.5551. What is the nearest to 2/9 in 1/8, b, -1/7, 3? 1/8 Let w be 5/9 + (((-936)/13)/18)/12. Let z(g) = -5*g - 29. Let o be z(-6). Let s = -0.01 - -2.01. Which is the closest to w? (a) -0.05 (b) s (c) o a Let j = 32081/6 + -5347. Which is the nearest to -67/6? (a) -2/9 (b) j (c) -4 (d) 0.2 c Let j be ((-3)/(-102))/(-11*(-9)/198). Which is the nearest to -2? (a) -6 (b) 4/17 (c) j c Let b(n) = n**2 - n - 2. Let u be b(-2). Let q be 54/(-120) + 1/u. Let r be (-44)/(-10) + (-4)/12*12. What is the closest to -0.1 in 0.5, r, q? q Let x = 1813/11 + -165. Let y = -23 - -23.3. Which is the nearest to y? (a) 2 (b) x (c) 0.1 c Suppose -10 = -2*w, 12*w - 754 = 2*y + 14*w. Let i = 383 + y. What is the closest to i in -2, -2.3, -1/2? -1/2 Let p be 1/5 + (-64)/(-80). Let x = -5.1 - -1.8. Let i = -4.3 - x. Which is the closest to i? (a) p (b) 5 (c) -4 a Let r = 342 + -203. Let q = 135 - r. What is the nearest to -0.1 in 0.5, 0.1, q? 0.1 Let u = 19574 - 19574.02. What is the closest to -1.1 in 0.2, u, 2/17? u Let q(z) = z**2 + 55*z + 412. Let r be q(-46). Which is the closest to -6? (a) -2/13 (b) r (c) 3 (d) 10 b Let m = 6434 - 6439. What is the closest to -1/5 in 0.38, m, -1, 4? 0.38 Let u = -1.2 - -1. Let x = -95972 + 95972. What is the nearest to 4/7 in x, 1, 3/2, u? 1 Let p = -5877.5 + 5876.5. Let g = -87063/5 - -17499. Let w = g - 87. Which is the nearest to w? (a) p (b) 0.3 (c) 0.2 a Let s be 1 + -3 + 112/60. Let o = 296/309 + -30/103. Which is the nearest to 0.1? (a) -0.1 (b) o (c) s a Suppose -b = -4*o + 1 + 7, -4*b = -5*o + 21. Suppose -2*n = -r + 3*r - 6, r + 3*n = o. What is the nearest to r in 0.2, 2/5, 0.3, -1/7? 2/5 Suppose 0 = 2*b + 10, s - 4*b - 12 = -3*s. Let m be (-75)/(-45)*(-378)/90. What is the nearest to -0.3 in m, s, 0? 0 Let w = -0.2011 - -0.2011. What is the closest to -2/13 in 0.2, -0.4, w, -0.043? -0.043 Let u be ((-36)/105)/(13/5*1 + -3). Which is the closest to 2? (a) -3 (b) 0.2 (c) 3 (d) u c Suppose -t + 23 = -2*h, 3*t + 12 = -3*h - 9. Let x be (h/8)/((-51)/12 + 4). Let j = 0.2 + 0.8. What is the closest to j in -9, x, 1? 1 Let c = 5.686 + 0.014. Let z = c - 5.6. Let p = -2 - -4. What is the closest to 1/4 in z, 12/5, p? z Let g = -143.65 + 143.64. What is the closest to -0.14 in g, -3, 0.06? g Let k = 742.5 + -742.7. Let z(g) = -g + 3. Let p be z(6). Which is the nearest to k? (a) p (b) -1 (c) 0.4 c Let y = -154456/9 + 17162. Let p = -0.5 - 0.5. Which is the closest to p? (a) 4 (b) 5/2 (c) y (d) 2 c Let j be 2 + (-5)/((-45)/(-21)). Let h = -29/7 + 289/63. Let d be (-2 - (-122)/42) + (-50)/150. Which is the closest to 0? (a) d (b) h (c) j c Let s = 138.91 + 3.09. Let x = s + -137. What is the closest to -1/8 in -2/9, 1/7, x? -2/9 Let f = 140/87 - 995/348. Which is the nearest to 9/16? (a) 5 (b) 1 (c) -4 (d) f b Let u = -3504 + 3505. What is the nearest to -1 in 2/3, u, 0.04? 0.04 Let d = -5 - -48. Let y = d + -42.98. Let q = y - 11.02. What is the nearest to 0 in -3, -1/10, q? -1/10 Let v = 0.218 - 0.518. Let g = -95 - -96. Which is the closest to g? (a) -1 (b) -6 (c) -0.1 (d) v c Suppose u - q = 28, -2*u + 104 = 2*u - 2*q. Let x be 4*10/(-12)*u/(-20). Let b be -10*(-4)/22 + -2. What is the nearest to -0.2 in -2/13, x, b? b Let q = 0 - 0.1. Let s = 3074.4 + -3074. Let r = -14 - -6. Which is the nearest to 1? (a) r (b) s (c) q b Let i(h) = 2*h. Let v be i(-3). Let y be 2/4 - (-7)/v. Let u = -5580.7 + 5580.4. What is the nearest to 1 in u, y, -0.2? -0.2 Let z = -2.29 - -2.113. Let m = -0.177 - z. Let x be (1 + 0 + 1)*-1. Which is the nearest to x? (a) -0.1 (b) -2 (c) m b Let z = -2258.6 + 2256.6. Which is the nearest to -220? (a) -1/2 (b) 0.4 (c) z (d) -3 d Let w = 19 + -17. Let b = -0.819 - -1.319. What is the closest to -2/3 in w, b, 0.8? b Let g = -6390 + 6393. What is the closest to 1 in -25, 0, -5, g? 0 Let u = -535.0581 - -535. Let d = u - -8.0581. Let z be 9/30 - (-2)/(-4). What is the nearest to z in d, -5, 1? 1 Let i(r) = r**3 - 5*r**2 - 2*r + 3. Let x be i(6). Let q be 2/(2/3) - -27. Let n = q - x. Which is the closest to n? (a) -0.5 (b) 2/7 (c) 3/5 c Suppose -6 = 2*i, -2*q + 13 = 2*i + 25. Which is the nearest to 1? (a) q (b) 53 (c) -6 a Let s = -20 - -16. Let d = -1665 - -1666. Which is the closest to d? (a) s (b) 2/7 (c) -0.08 b Let f be (-8320)/42 + (32/56 - (-2)/21). Suppose 0 = -5*s + 967 + 18. Let n = s + f. Which is the closest to -2/3? (a) -4 (b) n (c) -0.5 c Let m = -254 - -441. Let z = -188 + m. Which is the nearest to -1? (a) -2/3 (b) -9 (c) z c Let o = 713/4719 + 1/363. Let h = 36/65 - o. Which is the closest to -4? (a) 0.2 (b) h (c) 1/3 a Let h = 714.9 + 238.1. Le
{ "pile_set_name": "DM Mathematics" }
t the prime factors of b(q). 2, 3 Suppose 147 = 46*t - 45*t. Suppose -8*g + t = 3*m - 5*g, 3*m + g = 149. List the prime factors of m. 2, 5 Let z = 393 - 233. Suppose 20*t = 24*t - z. Let l = t - -10. What are the prime factors of l? 2, 5 Suppose -5*o = -10*o - 2*y - 9631, 1919 = -o + 2*y. Let q = o + 3720. List the prime factors of q. 5, 359 Suppose -50*f = -44*f - 312. Let q = -3 - f. Let p = 105 - q. List the prime factors of p. 2, 5 List the prime factors of ((-1371)/5)/(27/(-58590)*21). 2, 31, 457 List the prime factors of (-7 - 26)/(-11) - 211*(-82 + -2). 3, 19, 311 Let n = 121 + -142. Let v(y) = 2*y**2 + 5*y - 9. What are the prime factors of v(n)? 2, 3 Let a(j) = 44*j**2 + 5. Let c be a(-4). Let p = 20448 - 20943. Let q = c + p. What are the prime factors of q? 2, 107 List the prime factors of 1066 + -8*(-195)/120. 13, 83 Suppose 16*l = -5*d + 165529, 0*d - 132392 = -4*d - 5*l. List the prime factors of d. 3, 3677 Let w(f) = f**2 - 22*f - 19. Suppose l - 90 = -5*l. Let s be w(l). Let v = 241 + s. List the prime factors of v. 3, 13 Let n = -567 - -801. Let o be (390 - 400)*((-81)/2 - -1). Let w = o - n. What are the prime factors of w? 7, 23 Let w(t) = 29*t - 232. Let f be w(8). List the prime factors of -295*(-1 - f/6). 5, 59 Let c(y) = 16*y**2 - 9*y**2 - y**2 - 56 - 9*y - 5*y**2. List the prime factors of c(15). 2, 17 Suppose 0 = -218*r + 221*r - 1428. Let w = 772 - r. What are the prime factors of w? 2, 37 Suppose 0 = -115*h + 3861315 - 301030. List the prime factors of h. 83, 373 Let x = 63 + -57. What are the prime factors of ((-11800)/150)/((-2)/x)? 2, 59 Let z = 4737 + 55403. What are the prime factors of z? 2, 5, 31, 97 Suppose -38*t + l + 27333 = -37*t, 3*l - 82011 = -3*t. List the prime factors of t. 5, 7, 11, 71 Let x be 1 + -3 - (-5 + 3). Let v(u) = u**3 - 3*u**2 + 13*u - 29. Let d be v(3). Suppose -1580 = -x*g - d*g. What are the prime factors of g? 2, 79 Let t(j) = 47 + 86 - 28 + 32 - 21*j + 19*j. Suppose 2*g = 3*g. List the prime factors of t(g). 137 Suppose -2*w - 304 = -392. Suppose -10392 = -w*s + 4216. List the prime factors of s. 2, 83 Suppose 0*z - 2*z + 106 = 0. Suppose -z + 47 = -3*c. Suppose -3*k = -2*i - 562, -5*k + 910 = -0*k + c*i. List the prime factors of k. 2, 23 Suppose -14*z = 38*z - 17*z. Suppose z = t - 2*n - 476, -5*t = -6*t + n + 479. List the prime factors of t. 2, 241 Let j = 117 + -129. Let d(g) = -15*g + 18. What are the prime factors of d(j)? 2, 3, 11 Suppose -9*j - 5*j + 94078 = 3*j. List the prime factors of j. 2, 2767 Let l(s) = 133*s**3 - 11*s**2 + 52*s + 44. What are the prime factors of l(5)? 2, 11, 757 Suppose -4*j = -31*j + 21816. Let t = -484 + j. What are the prime factors of t? 2, 3 Let m = -60 + 65. Suppose f = 4*y - 4, -m*f + 10*f + 2 = 2*y. Suppose f = 31*q - 30*q - 220. What are the prime factors of q? 2, 5, 11 Let m = 4 + -2. Suppose -5*t + m*c + 143 = -2, -t + 37 = -2*c. Let l = t - -11. What are the prime factors of l? 2, 19 Suppose t = 3*k + 2*k - 93, -5*k + 97 = t. Suppose -k*l + 32 = -11*l. Suppose -2*u = l*d - 1012, 3*d + 2*u + 1020 = 7*d. What are the prime factors of d? 2, 127 Let p = 31313 - 16348. List the prime factors of p. 5, 41, 73 Let c(s) = -2*s**2 + 4*s + 11. Let l be c(5). Let b = l + 26. Suppose 0 = 3*q + 9, b*q - 5*q - 294 = -2*d. List the prime factors of d. 2, 3, 5 Suppose -3*d + 7*d - 5*p - 7717 = 0, 0 = -5*d - 2*p + 9638. Suppose 5*r - c - 3*c - d = 0, -c = 3*r - 1150. What are the prime factors of r? 2, 3 Suppose 0 = 5*l - 4*n - 77, 2*n - 7 = -l - 0. Suppose -896 = l*k + k. List the prime factors of 260 + -2 + k/16. 2, 127 Let c(t) = -t**3 - 11. Let h be c(0). Let a = 426 + h. What are the prime factors of a? 5, 83 Let j(g) = -g**3 + 4*g**2 - 117*g + 193. What are the prime factors of j(-25)? 3, 73, 97 Suppose 18*w - 450990 = -3*a, -2*a - 17 = -5. What are the prime factors of w? 2, 3, 29 Let z = -327 - -523. Let y = z - 16. Suppose y = -4*b + 14*b. What are the prime factors of b? 2, 3 Let v be ((-149)/3)/((-2)/(-6)). Let b be (-2 - -350)*(-20)/(-30). Let m = v + b. What are the prime factors of m? 83 Let o = -33 + 34. Let d be (33/6 - 4)/(o/(-14)). Let i = d + 30. What are the prime factors of i? 3 Suppose -7279 = -2*n - 0*n + 3*w, 0 = w - 5. Suppose d = 8*d - n. Suppose -3*l - 4*v + 2*v + d = 0, 0 = 2*v + 10. List the prime factors of l. 3, 59 Let d(m) = -4*m**2 - 4*m + 15. Let g(c) = -9*c**2 - 9*c + 31. Let p(a) = -7*d(a) + 3*g(a). List the prime factors of p(-22). 2, 3, 5 Let t = -1252 + 7175. List the prime factors of t. 5923 Suppose 0 = 4*n - 2*g - 39120 - 16102, -55197 = -4*n - 3*g. What are the prime factors of n? 3, 43, 107 Let c = 22359 - 17370. What are the prime factors of c? 3, 1663 Suppose 0*p = -3*j + p - 315, 0 = 3*p. Let f = j - -301. Let y = f - 51. List the prime factors of y. 5, 29 Let b(d) = -d**2 - d - 36. Let p be b(0). Let h = p - -40. Suppose h*s - 20 = -s, -5*s + 230 = 3*g. What are the prime factors of g? 2, 5, 7 Let g(u) = u**2 - 5*u. Let s be g(3). Let x(y) = 21*y**2 + 34*y + 7. What are the prime factors of x(s)? 13, 43 Let n = -19 - -32. What are the prime factors of -1*n/2*(-1014)/13? 3, 13 Let d(g) = 3*g**3 - 7*g**2 + 3*g + 2. Let m be d(2). Let j be m/(-6)*(15 + -12). List the prime factors of ((-149 - -5)/6)/j. 2, 3 Let s be 9/(-15) - 10/75*-27. Suppose 0 = 10*r - 6*r + c - 2537, -618 = -r + s*c. List the prime factors of r. 3, 211 Let y = -26 + 30. What are the prime factors of ((-1312)/12)/y*-15? 2, 5, 41 Let w be -1*28/1*(-1770)/60. Let p = -270 + w. List the prime factors of p. 2, 139 Suppose -11400 = -9*p + 5*p. Suppose 0 = v + 2*z - 567, 0 = v - 6*v + 5*z + p. What are the prime factors of v? 569 Let p(r) = 287*r**2 + 36*r - 8. What are the prime factors of p(-5)? 3, 17, 137 Let l(d) = d**3 + 2*d**2 - d - 4. Let m be l(3). Suppose 66 = 4*i - m. Suppose -i = -n + g + g, 20 = 4*g. List the prime factors of n. 2, 3 Suppose -o - 4*o = 5*d - 5, 4*o = -d + 4. Let a = 180 + -161. Suppose d = 3*q - 5 - a. What are the prime factors of q? 2 List the prime factors of 4/8*-2 - 95300/(-6 - -1). 3, 6353 Suppose 0 = -4*j - 4*a + 19570 + 11586, 4*j - a = 31166. What are the prime factors of j? 3, 7, 53 Suppose -2*v + 47 = -5*v - n, 5*v + 75 = -5*n. Let t be (v/(-10))/((-2)/(-15)). Suppose 0 = 6*z - t*z + 150. What are the prime factors of z? 5 Let y(z) = 11*z**2 - 5*z - 1. Let w(f) = -f**2 - 25*f - 12. Let t be w(-22). Let q = t + -52. What are the prime factors of y(q)? 3, 11 Let b(f) = -244*f**3 + 2*f**2 + 35*f + 230. What are the prime factors of b(-6)? 2, 67, 197 Suppose -5*r - 65 = -100. What are the prime factors of 4*(320/r + (-22)/(-77))? 2, 23 Let h(s) = 3*s**3 - 5*s**2 - s - 8. Let f(i) = 127*i**2 + i. Let y be f(1). Let m = y - 124. List the prime factors of h(m). 2, 5 Suppose 0 = 2*g + 27 - 33. Let u(j) = 259*j + g - 276*j - 8. List the prime factors of u(-7). 2, 3, 19 Suppose -38*p + 44*p = 3558. Suppose 8*m = 10*m + 4*b - 1226, 0 = -m + 2*b + p. List the prime factors of m. 3, 67 Suppose -65*s - 91*s = -4142506 - 406142. List the prime factors of s. 2, 61, 239 Let o be (5/(-20))/(2/8). Suppose -d - 3*z - 11 = 2, 5*d + 4*z = -32. What are the prime factors of (65 - (d + 8))/(o/(-2))? 2, 61 Let f = -38207 + 56015. List the prime factors of f. 2, 3, 7, 53 Suppose -42*u - 8197 + 30169 = -51276. What are the prime factors of u? 2, 109 Let g = 62 + 48. What are the prime factors of g/(-88) - (-1729)/4? 431 Let o(t) = t**3 - 31*t**2 + 32*t - 38. Let u be o(30). Suppose u*l = 17*l - 10. List the prime factors of (l*210/(-25))/(2/25). 2, 3, 5, 7 Suppose -j + 2*n + 579 = 0, -10*j + 13*j + 3*n - 1764 = 0. Suppose -2*w + 279 = -j. List the prime factors of w. 2, 3 Let b(j) = -j**3 - 5*j**2 - 3*j - 11. Let l be b(-5). Suppose 0 = l*h + 8, y - 4*h - 20 = -2*y. List the prime factors of 45 - (-3 + 8/y). 2, 23 Suppose 0 = 5*u + 5*s + 10, 3*s = -6*u + u. Suppose -w + 2896 - 159 = u*o, -5*o = w - 4563. List the prime factors of o. 11, 83 Let x(t) = -t**3 - 7*t**2 - 39*t - 1. Suppose 7*s - 2*s + c + 27 = 0, -18 = 4*s + 2*c. List the prime factors of x(s). 197 Let d(h) = -h**2 - 6*h + 21. Let k be d(-9). Let u(r) = -76*r - 32. Let m be u(k). Suppose 6*v - m + 82 = 0. What are the prime factors of v? 3, 19 Suppose -182454 = -3*y -
{ "pile_set_name": "DM Mathematics" }
when (-105042)/(-112) - (-4 + 124/32) is divided by 157? 153 Suppose 0 = -24*v + 132353 + 200143. What is the remainder when v is divided by 163? 162 Let j(b) = 10*b**3 + b**2 - 7*b - 55. What is the remainder when j(6) is divided by 75? 74 Suppose 7 = c + j - 2*j, 26 = 5*c - 2*j. Calculate the remainder when 150 is divided by c. 2 Let q = 156 - 144. Suppose -16 = f - 5*f, 5*f = -3*x + 2. What is the remainder when 44 is divided by (x/q)/(2/(-36))? 8 Let v(a) = a**3 + 11*a**2 - 13*a - 11. Let c be v(-12). Suppose 2*p + p = 2*y + c, 5*p - 2*y + 5 = 0. Calculate the remainder when p*1*(-52)/4 is divided by 10. 9 Suppose -2*i = 14, 199*h - 196*h + i - 4334 = 0. Calculate the remainder when h is divided by 9. 7 What is the remainder when (4/(-5))/(8/(-1860)) - -2 is divided by 4? 0 Suppose -13*g - 41*g + 73337 = 5*g. What is the remainder when g is divided by 30? 13 Suppose 195*a + 197*a + 10584 = 400*a. What is the remainder when a is divided by 6? 3 Let l be ((28/(-3))/(-7))/((-2)/6). Let w be -8 - l - 279/3. Let m = w - -107. What is the remainder when 88 is divided by m? 8 What is the remainder when 230 is divided by (-6)/(-5)*(-5 - (-4500)/54)? 42 Let u be 18/(-15) - 2/30*-3. Calculate the remainder when 259 is divided by ((-21)/(-14)*-4)/(u/11). 61 Let a = -10 - -102. Let p = a + -79. What is the remainder when 49 is divided by p? 10 Let a(x) = 247*x + 108. What is the remainder when a(1) is divided by 177? 1 Suppose 4*r - 105 = w, 3*r - w = 53 + 26. Suppose -29*s = 84 - 12032. Let m = -206 + s. What is the remainder when m is divided by r? 24 Suppose 5*i = i - 4, -4*i - 175 = 3*w. Let g = 20 - w. What is the remainder when g is divided by (88/(-198))/((-6)/135)? 7 Calculate the remainder when 38 - (-77027)/170 - 2/20 is divided by 5. 1 Calculate the remainder when 3272 is divided by (30 - 6)/2 + 207/23. 17 Suppose w = 4*m - 14, 5*w + 16*m = 19*m + 49. Calculate the remainder when 2974 is divided by w. 6 Suppose -3*p + 186 = 3*u, 2*p + 275 = -10*u + 15*u. What is the remainder when 332 is divided by u? 47 Let n = -50 + 78. What is the remainder when 384/(-6)*(-4 + 3) is divided by n? 8 What is the remainder when 2040 is divided by 1090/654 - ((-111)/9 - 2)? 8 Calculate the remainder when 1043 is divided by (-190)/25*(3756/(-136) - (-10)/85). 207 Let l(x) = 4*x**2 - 5*x - 78. Let j be l(-10). Let f = j - 238. What is the remainder when f is divided by 35? 29 Calculate the remainder when 1/((-7)/10)*(1301 + -1574) is divided by 113. 51 Let k = 34 + -54. Let u = 43 + k. Suppose -b = 4*t - u, 3*t - 6 - 9 = 0. Calculate the remainder when 10 is divided by b. 1 Suppose -3*w + 227 = -h, 3*w + 3*h + 219 = 6*w. Suppose -5*f + 33 = -w. What is the remainder when f is divided by 4? 2 Calculate the remainder when 418 is divided by (-35)/(-56)*14*4/1. 33 Suppose 1202 = 11*r - 8137. Suppose 0 = -d - r + 903. Calculate the remainder when 155 is divided by d. 47 Let d = 6717 - 6608. Calculate the remainder when 530 is divided by d. 94 Suppose 792 = -10*o + 34*o. What is the remainder when 5442 is divided by o? 30 Let w(i) = -i + 24. Let b be (1 - (-627)/(-3))*-1. Suppose 9*x = 7*x + b. What is the remainder when x is divided by w(9)? 14 Suppose 0 = 5*c - 3*c + 4. Let p(z) = 6*z - 6. Calculate the remainder when 65*(1/(-5) - c/2) is divided by p(4). 16 Suppose -589 = -4*c + 3*i, -4*c - 79*i = -78*i - 609. Calculate the remainder when c is divided by 38. 37 Suppose 89*b - 404*b = -82215. What is the remainder when 1321 is divided by b? 16 Let u = 2996 - 2949. Calculate the remainder when 245 is divided by u. 10 Let w be 1/13*13*(555 + 2). Let k = w - 138. What is the remainder when k is divided by 105? 104 Suppose 3*d + 2*d = 15. Suppose d*f + 198 = 9*f. What is the remainder when 84 is divided by f? 18 Suppose -4*t + 4*d + 1516 - 332 = 0, -4*t + 1149 = -9*d. What is the remainder when t is divided by (-2)/(20/(-9) - -2)? 6 Let j = -4 - -7. Let a(i) be the third derivative of i**6/20 - i**5/15 + i**4/24 - i**3 - 8*i**2 + 1. Calculate the remainder when a(j) is divided by 31. 30 Suppose -71*q + 255*q = 14*q + 3060. What is the remainder when 1817 is divided by q? 17 Let z be (208/(-24))/(2/12). Let x = 120 - 49. Let d = z + x. What is the remainder when 75 is divided by d? 18 Let q(f) = 8*f + 2. Let p(y) = -y**2 - 13*y - 10. Let u(r) = -r**3 - 7*r**2 + 7*r + 39. Let j be u(-7). Calculate the remainder when q(7) is divided by p(j). 18 Let x = -211 + 216. Suppose 0 = -2*i - x*q + 64, 5*i - 3*q + 0*q - 160 = 0. Let m = 11 + -6. Calculate the remainder when i is divided by m. 2 Suppose -2*i - i + 2*k = -896, 2*k = i - 296. Suppose 12*t + i = 15*t. What is the remainder when t is divided by 36? 28 Let s(o) = -9*o + 1. Suppose -3*y - 5*d = -7*d - 160, -175 = -3*y + 5*d. Calculate the remainder when y is divided by s(-2). 12 Suppose 10*h - 6*h - 668 = 0. Suppose -4*a = -76*f + 75*f + 42, 5*f + 5*a = 160. Calculate the remainder when h is divided by f. 31 Calculate the remainder when 6390 is divided by -38 + 21 + (290 - 27). 240 Let b(r) = r**2 - 148*r + 4898. What is the remainder when 4377 is divided by b(101)? 149 Let v(n) = -3*n - 31. Let c be v(-12). Suppose -4*s = c*o - 338, -s - 10 = -6*s. Calculate the remainder when o is divided by (1 - (-3)/(-5))*35. 10 Let v = -25 - -81. Let u(p) = -p**2 - 24*p - 42. Let r be u(-22). Let z(j) = 25*j - 31. What is the remainder when v is divided by z(r)? 18 Let i(g) = -165*g**2 + 8*g - 10. Let t be i(8). What is the remainder when 271 is divided by t/(-663) - 4/(-26)? 15 Let z(b) = 6*b**2 + 4*b - 2. Let q(o) = -o**3 - 13*o**2 - 2. Let w be q(-13). Calculate the remainder when 40 is divided by z(w). 12 Let h be ((-2)/(-4))/(6 + 6362/(-1060)). Let s = 539 + h. What is the remainder when s is divided by 25? 24 Let r be 2660/285*(-6)/(-4). Suppose -r*y - 923 = -27*y. What is the remainder when y is divided by 44? 27 Suppose 0 = 5*c - 424 - 456. Suppose -5*u - 4*r + 1240 = -7*r, 0 = -u - 4*r + 248. Let g = u - c. Calculate the remainder when g is divided by 15. 12 What is the remainder when 246 is divided by 2/(2*1 - ((-210)/66 - -5))? 4 Let m = -2922 + 2939. Calculate the remainder when 1609 is divided by m. 11 Suppose 66*b - 240 = 26*b. Calculate the remainder when 179 is divided by b. 5 Let t(o) = 117*o - 2. Let k be t(6). Suppose 3*f - k = -91. Suppose -115*y - 8160 = -355*y. What is the remainder when f is divided by y? 33 Suppose -n + 59 = -2*b, 216 = 2*n + 2*b + 152. Calculate the remainder when 395 is divided by n. 26 Let c(r) be the second derivative of 5*r**4/12 + r**3/2 + 17*r. What is the remainder when 48 is divided by c(2)? 22 Suppose 153 + 84 = -k - 4*z, 2*k = 3*z - 474. Let p = 316 + k. What is the remainder when 552 is divided by p? 78 Let x = 117 - 152. Let z = 107 + x. Calculate the remainder when z is divided by 5. 2 Let h be 7/9 + -1 + (-184)/(-18). Suppose h*l = 49 + 41. What is the remainder when l is divided by 2? 1 What is the remainder when 527142/10269*(0 - -1)/((-1)/(-6)) is divided by 32? 20 Calculate the remainder when 1397 is divided by (588/(-35) + 17)/(1/50). 7 Suppose -c + 4*w - 22 = 257, 5*w - 1149 = 4*c. Let y = -274 - c. Let m = -10 + 18. Calculate the remainder when y is divided by m. 1 Suppose -52 = -3*m - m. Suppose -163*n = -15506 - 10248. Suppose -232 = -m*u + n. Calculate the remainder when 117 is divided by u. 27 Suppose -122 = -2*j + 190. Suppose 0 = 19*k - 20*k - 3*d + 31, 0 = k - 5*d - 39. Calculate the remainder when j is divided by k. 20 Suppose 12 + 6 = -6*t. Let f = 59 + t. Calculate the remainder when 222 is divided by f. 54 Suppose 4*z = 2*w - 182, 3*z - 4 = z. Suppose 7*v + 22 = f + 4*v, 0 = -f - v + 6. Calculate the remainder when w is divided by f. 5 Suppose 9*q - 12*q + 268 = 2*s, 0 = s + 1. What is the remainder when 1527 is divided by q? 87 Let k(h) = 3*h**3 - 5*h**2 - 3*h + 23. What is the remainder when 471 is divided by k(4)? 102 Let c(q) = q**2 - 11*q - 23. Let p be c(13). Suppose 16 = -p*f + 5*f. Suppose -x = -24 + f. What is the remainder when 63 is divided by x? 15 Suppose -44*a + 275 = -19*a. Let j = -28 - -115. Calculate the remainder when j is divided by a. 10 Suppose 0*w + 4*w = 3*t + 1, -w - t + 9 = 0. What is the remainder when 0 + 1 - -20 - 16/4 is divi
{ "pile_set_name": "DM Mathematics" }
mmon divisor of 3361597 and 4777? 17 Calculate the highest common divisor of 2204693 and 41. 41 What is the greatest common factor of 3429 and 268623? 27 Calculate the highest common divisor of 5735 and 360553715. 5735 What is the highest common factor of 1538110 and 49? 49 What is the highest common divisor of 570 and 846310? 10 Calculate the highest common factor of 618 and 4797654. 6 Calculate the greatest common factor of 875600 and 495. 55 Calculate the greatest common divisor of 26488 and 21084. 28 Calculate the highest common factor of 115 and 156234653. 23 Calculate the greatest common factor of 7443 and 2167. 1 What is the greatest common factor of 243 and 28208412? 243 Calculate the highest common divisor of 14216096 and 160. 32 Calculate the highest common divisor of 398463 and 234. 39 What is the greatest common factor of 10036668 and 90534? 1146 Calculate the greatest common factor of 498042 and 307968. 2406 What is the highest common factor of 321404068 and 776? 388 Calculate the greatest common divisor of 3495294 and 11259. 1251 Calculate the highest common divisor of 5878182 and 114. 114 What is the highest common factor of 1171399391 and 6473? 6473 Calculate the greatest common divisor of 4340 and 49030220. 620 What is the greatest common factor of 434798 and 52234? 182 Calculate the highest common factor of 155406 and 207267. 177 What is the highest common factor of 93 and 41007761? 31 What is the highest common divisor of 1415901 and 1068? 267 What is the highest common divisor of 7077 and 30131507? 2359 What is the highest common divisor of 47496790 and 230? 10 What is the greatest common factor of 59214366 and 234? 18 Calculate the greatest common divisor of 12723648 and 108. 12 Calculate the highest common factor of 90 and 2027653230. 30 Calculate the greatest common divisor of 1306672 and 4832. 16 What is the highest common factor of 619102 and 140063? 1177 Calculate the greatest common divisor of 30923 and 498406. 1819 Calculate the greatest common factor of 2504 and 296411. 313 Calculate the greatest common divisor of 96036 and 343374. 906 What is the greatest common divisor of 1437401 and 7616? 119 What is the greatest common divisor of 1325802 and 9238? 298 What is the greatest common factor of 10896346 and 1270? 254 What is the greatest common factor of 3838035 and 165? 15 What is the highest common divisor of 37244064 and 6204? 132 Calculate the highest common factor of 7538103 and 469. 67 What is the highest common divisor of 14911 and 2628769? 403 Calculate the greatest common divisor of 9571 and 73967. 17 What is the highest common divisor of 325402233 and 2535? 507 Calculate the greatest common divisor of 164 and 404752. 164 Calculate the highest common divisor of 968791110 and 406. 406 What is the highest common factor of 1496 and 19690080? 136 Calculate the highest common factor of 9576634 and 122. 122 What is the greatest common factor of 54 and 1174293? 9 Calculate the greatest common divisor of 8 and 1149367832. 8 What is the highest common divisor of 184897 and 5175? 23 Calculate the highest common factor of 3854814 and 162270. 3606 Calculate the greatest common divisor of 864467 and 34. 17 Calculate the highest common divisor of 38627 and 25898387. 2033 What is the greatest common factor of 4756 and 347884? 116 Calculate the highest common divisor of 4842 and 7852110. 1614 Calculate the highest common factor of 86625656 and 992. 248 What is the greatest common factor of 82824 and 78744? 408 Calculate the greatest common divisor of 121594 and 34353. 11 What is the greatest common factor of 9476 and 1986740? 92 What is the highest common factor of 34 and 455701796? 34 What is the greatest common divisor of 4963591 and 74863? 1741 Calculate the greatest common factor of 10103203 and 751. 751 Calculate the greatest common divisor of 45603338 and 65582. 5962 Calculate the highest common divisor of 9612 and 1686144. 12 Calculate the greatest common divisor of 28400 and 1296400. 400 What is the highest common factor of 68720650 and 10? 10 Calculate the greatest common divisor of 115580290 and 35. 35 Calculate the greatest common factor of 9635 and 2104895. 235 Calculate the greatest common divisor of 168 and 2001176. 8 Calculate the greatest common factor of 2 and 16114848. 2 What is the greatest common divisor of 14363727 and 1947? 177 What is the greatest common divisor of 38520210 and 20? 10 What is the highest common divisor of 270 and 1266800? 10 Calculate the greatest common divisor of 5335 and 12235. 5 What is the greatest common factor of 38040760 and 2760? 40 Calculate the greatest common divisor of 3496552845 and 309. 309 What is the highest common divisor of 1338 and 89358? 6 Calculate the highest common factor of 132622 and 42322. 14 What is the greatest common divisor of 1901482 and 8322? 38 Calculate the greatest common factor of 16753 and 2005791. 1523 Calculate the highest common factor of 5894 and 1234372. 842 What is the greatest common divisor of 15099125 and 8955? 995 What is the greatest common factor of 21622 and 992? 2 Calculate the greatest common divisor of 63 and 7687440. 9 What is the highest common factor of 23808 and 756462? 186 What is the highest common divisor of 43556 and 621? 1 What is the greatest common divisor of 2234825 and 11625? 25 What is the greatest common divisor of 26 and 260927914? 26 What is the highest common factor of 690 and 2035270? 230 Calculate the highest common divisor of 14787 and 13602397. 1643 What is the highest common divisor of 37390556 and 6? 2 What is the highest common divisor of 58770 and 110? 10 Calculate the highest common divisor of 7165394 and 171. 19 What is the greatest common factor of 17325152 and 3744? 416 What is the greatest common divisor of 19630089 and 108? 9 Calculate the highest common factor of 11396613 and 34. 17 What is the greatest common factor of 26 and 804035128? 26 Calculate the greatest common divisor of 7131 and 1859814717. 7131 What is the highest common divisor of 776094 and 59532? 726 What is the greatest common divisor of 2071104 and 156? 12 What is the greatest common factor of 264 and 56662584? 264 Calculate the greatest common factor of 336 and 2411934. 42 Calculate the highest common factor of 165110 and 1756645. 1045 Calculate the highest common divisor of 14714912 and 272. 16 Calculate the highest common divisor of 436149 and 47187. 441 Calculate the greatest common divisor of 529 and 2423786. 23 What is the greatest common factor of 740 and 37620? 20 Calculate the highest common factor of 28681 and 523181. 989 What is the greatest common divisor of 207 and 224552151? 207 Calculate the greatest common factor of 1320 and 3139935. 15 What is the greatest common factor of 1406 and 173190377? 703 What is the highest common divisor of 606995 and 530? 5 What is the highest common factor of 102466 and 458458? 182 What is the highest common divisor of 68 and 36856646? 34 Calculate the greatest common factor of 6797445 and 4149. 1383 Calculate the greatest common factor of 1701 and 426805281. 567 What is the greatest common factor of 702 and 333127782? 702 Calculate the highest common divisor of 7025 and 1345. 5 What is the greatest common factor of 389974 and 1270516? 1378 Calculate the greatest common divisor of 20284 and 780012. 1844 What is the highest common factor of 17627961 and 468? 39 What is the greatest common factor of 42159 and 283739? 47 Calculate the highest common factor of 38166126 and 20391. 2913 Calculate the greatest common factor of 7653599 and 237. 79 What is the highest common divisor of 2047838 and 1580? 158 Calculate the greatest common divisor of 1995 and 128640. 15 Calculate the highest common divisor of 25838252 and 22. 22 Calculate the greatest common factor of 10685344 and 9080. 1816 What is the greatest common factor of 146 and 36844414? 146 What is the highest common divisor of 31822644 and 2983? 2983 What is the highest common factor of 6750404 and 12628? 164 What is the greatest common factor of 1911410 and 55? 5 What is the highest common factor of 548 and 518959288? 548 Calculate the greatest common divisor of 19600 and 20628608. 784 Calculate the greatest common factor of 574494
{ "pile_set_name": "DM Mathematics" }
nutes are there between 12:42 AM and 8:07 AM? 445 How many minutes are there between 8:42 PM and 8:11 AM? 689 What is 355 minutes after 1:08 PM? 7:03 PM What is 103 minutes before 10:34 AM? 8:51 AM What is 591 minutes before 6:07 PM? 8:16 AM How many minutes are there between 11:27 AM and 6:13 PM? 406 What is 344 minutes after 11:48 AM? 5:32 PM How many minutes are there between 5:40 AM and 8:54 AM? 194 What is 408 minutes before 12:46 AM? 5:58 PM How many minutes are there between 6:01 PM and 3:31 AM? 570 How many minutes are there between 3:30 AM and 1:39 PM? 609 How many minutes are there between 7:45 PM and 7:04 AM? 679 How many minutes are there between 9:22 AM and 7:49 PM? 627 What is 570 minutes before 9:31 PM? 12:01 PM What is 588 minutes after 3:24 AM? 1:12 PM How many minutes are there between 5:40 PM and 2:39 AM? 539 What is 144 minutes after 12:28 PM? 2:52 PM What is 289 minutes before 8:27 PM? 3:38 PM What is 12 minutes before 11:45 PM? 11:33 PM What is 682 minutes before 3:03 AM? 3:41 PM How many minutes are there between 11:45 AM and 11:28 PM? 703 What is 660 minutes after 3:46 PM? 2:46 AM How many minutes are there between 1:06 AM and 1:55 AM? 49 How many minutes are there between 9:45 PM and 2:48 AM? 303 What is 141 minutes before 5:51 AM? 3:30 AM How many minutes are there between 3:42 AM and 5:13 AM? 91 How many minutes are there between 7:32 AM and 8:35 AM? 63 How many minutes are there between 7:56 PM and 5:02 AM? 546 What is 67 minutes before 2:13 AM? 1:06 AM What is 331 minutes after 7:21 PM? 12:52 AM What is 310 minutes before 9:00 PM? 3:50 PM What is 237 minutes before 8:23 PM? 4:26 PM How many minutes are there between 3:34 PM and 7:59 PM? 265 How many minutes are there between 6:39 PM and 5:13 AM? 634 How many minutes are there between 5:44 PM and 1:55 AM? 491 What is 631 minutes before 5:40 PM? 7:09 AM What is 410 minutes after 1:12 AM? 8:02 AM How many minutes are there between 2:24 PM and 7:07 PM? 283 How many minutes are there between 10:08 PM and 1:25 AM? 197 How many minutes are there between 1:09 AM and 11:36 AM? 627 What is 243 minutes before 10:12 PM? 6:09 PM What is 236 minutes before 9:52 PM? 5:56 PM What is 49 minutes before 6:51 PM? 6:02 PM What is 266 minutes before 7:06 AM? 2:40 AM What is 466 minutes before 7:04 PM? 11:18 AM How many minutes are there between 10:38 AM and 11:26 AM? 48 How many minutes are there between 6:29 AM and 7:11 AM? 42 What is 445 minutes before 8:48 PM? 1:23 PM What is 40 minutes after 1:19 PM? 1:59 PM What is 705 minutes after 3:17 PM? 3:02 AM How many minutes are there between 5:46 AM and 6:55 AM? 69 How many minutes are there between 3:06 AM and 7:26 AM? 260 What is 67 minutes before 7:40 PM? 6:33 PM How many minutes are there between 12:56 AM and 9:04 AM? 488 What is 503 minutes before 12:59 AM? 4:36 PM What is 625 minutes before 2:16 PM? 3:51 AM How many minutes are there between 1:18 AM and 2:34 AM? 76 What is 310 minutes after 7:19 PM? 12:29 AM What is 430 minutes before 1:14 AM? 6:04 PM How many minutes are there between 12:53 AM and 7:41 AM? 408 How many minutes are there between 1:01 AM and 9:01 AM? 480 How many minutes are there between 1:35 PM and 5:45 PM? 250 How many minutes are there between 2:43 AM and 8:28 AM? 345 How many minutes are there between 8:34 AM and 3:20 PM? 406 How many minutes are there between 5:04 PM and 3:24 AM? 620 How many minutes are there between 1:04 PM and 10:07 PM? 543 What is 341 minutes before 11:30 PM? 5:49 PM How many minutes are there between 1:24 PM and 5:27 PM? 243 How many minutes are there between 1:01 PM and 10:44 PM? 583 What is 302 minutes before 2:29 AM? 9:27 PM How many minutes are there between 2:31 AM and 3:11 AM? 40 What is 528 minutes after 4:27 PM? 1:15 AM How many minutes are there between 5:30 PM and 4:17 AM? 647 How many minutes are there between 9:01 PM and 11:34 PM? 153 What is 300 minutes before 4:08 AM? 11:08 PM How many minutes are there between 10:37 PM and 4:09 AM? 332 How many minutes are there between 4:38 PM and 11:17 PM? 399 How many minutes are there between 11:43 PM and 2:49 AM? 186 What is 488 minutes before 9:13 PM? 1:05 PM How many minutes are there between 3:15 PM and 1:26 AM? 611 How many minutes are there between 4:24 PM and 9:26 PM? 302 How many minutes are there between 5:59 PM and 6:35 PM? 36 How many minutes are there between 12:12 AM and 9:56 AM? 584 How many minutes are there between 3:08 AM and 2:39 PM? 691 What is 153 minutes after 4:17 PM? 6:50 PM What is 492 minutes before 11:37 AM? 3:25 AM What is 130 minutes after 7:21 AM? 9:31 AM What is 279 minutes before 3:50 AM? 11:11 PM How many minutes are there between 6:28 PM and 7:18 PM? 50 How many minutes are there between 7:08 AM and 12:50 PM? 342 What is 126 minutes before 11:53 PM? 9:47 PM What is 25 minutes before 12:46 PM? 12:21 PM What is 677 minutes after 3:57 AM? 3:14 PM What is 609 minutes after 10:32 PM? 8:41 AM How many minutes are there between 4:00 AM and 10:45 AM? 405 What is 107 minutes before 8:54 AM? 7:07 AM What is 283 minutes after 2:47 PM? 7:30 PM What is 127 minutes after 3:57 AM? 6:04 AM How many minutes are there between 8:57 AM and 5:02 PM? 485 How many minutes are there between 9:08 PM and 4:55 AM? 467 How many minutes are there between 1:07 PM and 1:49 PM? 42 What is 714 minutes after 7:16 AM? 7:10 PM How many minutes are there between 10:13 PM and 5:03 AM? 410 How many minutes are there between 1:25 AM and 10:31 AM? 546 How many minutes are there between 4:12 AM and 2:42 PM? 630 How many minutes are there between 3:02 PM and 7:55 PM? 293 How many minutes are there between 1:20 PM and 11:17 PM? 597 What is 591 minutes after 2:12 AM? 12:03 PM What is 457 minutes after 4:01 PM? 11:38 PM What is 243 minutes after 11:13 PM? 3:16 AM What is 132 minutes after 12:46 AM? 2:58 AM What is 128 minutes after 9:45 AM? 11:53 AM How many minutes are there between 4:15 AM and 5:17 AM? 62 What is 525 minutes after 3:04 AM? 11:49 AM How many minutes are there between 3:41 AM and 9:09 AM? 328 How many minutes are there between 5:20 PM and 10:38 PM? 318 How many minutes are there between 12:55 PM and 3:14 PM? 139 What is 470 minutes after 10:42 AM? 6:32 PM What is 444 minutes after 2:05 PM? 9:29 PM What is 25 minutes after 8:31 AM? 8:56 AM How many minutes are there between 5:45 PM and 3:41 AM? 596 How many minutes are there between 2:51 AM and 12:33 PM? 582 What is 662 minutes before 2:05 PM? 3:03 AM How many minutes are there between 7:35 PM and 11:04 PM? 209 What is 680 minutes before 1:03 PM? 1:43 AM What is 669 minutes before 11:31 PM? 12:22 PM How many minutes are there between 1:12 AM and 10:02 AM? 530 What is 50 minutes after 11:54 PM? 12:44 AM How many minutes are there between 8:59 PM and 12:26 AM? 207 What is 107 minutes before 6:53 PM? 5:06 PM How many minutes are there between 10:28 PM and 3:38 AM? 310 What is 491 minutes before 8:31 PM? 12:20 PM What is 607 minutes before 1:32 PM? 3:25 AM What is 315 minutes after 9:39 AM? 2:54 PM What is 530 minutes before 3:28 AM? 6:38 PM What is 678 minutes after 10:57 AM? 10:15 PM What is 136 minutes after 11:47 PM? 2:03 AM What is 530 minutes before 6:46 PM? 9:56 AM How many minutes are there between 9:24 AM and 10:24 AM? 60 How many minutes are there between 5:53 PM and 7:50 PM? 117 How many minutes are there between 10:19 PM and 8:04 AM? 585 How many minutes are there between 2:43 AM and 4:49 AM? 126 What is 710 minutes before 5:12 PM? 5:22 AM How many minutes are there between 10:42 PM and 5:41 AM? 419 How many minutes are there between 2:26 PM and 2:05 AM? 699 What is 121 minutes after 2:23 AM? 4:24 AM How many minutes are there between 7:06 AM and 2:43 PM? 457 What is 154 minutes after 1:15 AM? 3:49 AM What is 641 minutes after 5:48 AM? 4:29 PM What is 27 minutes before 1:47 PM? 1:20 PM What is 481 minutes before 7:36 PM? 11:35 AM How many minutes are there between 3:00 AM and 11:13 AM? 493 How many minutes are there between 1:47 AM and 3:37 AM? 110 How many minutes are there between 5:18 AM and 4:36 PM? 678 What is 672 minutes before 10:08 AM? 10:56 PM How many minutes are there between 2:55 AM and 5:28 AM? 153 What is 279 minutes before 8:49 PM? 4:10 PM How many minutes a
{ "pile_set_name": "DM Mathematics" }
hat is the next term in 90, 94, 98, 102, 106, 110? 114 What is next in 14, 33, 52, 71? 90 What is next in 1567, 3126, 4671, 6196, 7695, 9162? 10591 What comes next: -70, -140, -220, -316, -434, -580, -760, -980? -1246 What comes next: -705, -707, -709, -711? -713 What is the next term in 61, 232, 507, 880, 1345? 1896 What comes next: -30892, -30891, -30890? -30889 What is the next term in -12, -4, 36, 126, 284? 528 What comes next: -6025, -12048, -18071, -24094? -30117 What is next in 438, 461, 484, 507? 530 What comes next: 157, 207, 295, 427, 609? 847 What is next in 971, 969, 967, 965, 963? 961 What comes next: -8, -20, -32, -44, -56, -68? -80 What is next in -259, -1048, -2365, -4216, -6607, -9544, -13033? -17080 What is the next term in -59, -163, -255, -329, -379, -399? -383 What comes next: 173, 170, 167? 164 What comes next: -1732, -3461, -5190? -6919 What is next in 58, 228, 512, 910, 1422, 2048, 2788? 3642 What is next in -174, -160, -144, -126, -106, -84, -60? -34 What is the next term in 74, 76, 90, 122, 178? 264 What is the next term in -10, -22, -34, -46? -58 What is next in -53, -59, -65? -71 What comes next: -3, -1, 3, 9, 17, 27, 39? 53 What is the next term in 58, 145, 254, 391, 562, 773, 1030, 1339? 1706 What is next in -218, -204, -166, -92, 30, 212, 466? 804 What is next in 4, 12, 18, 22, 24, 24, 22? 18 What is the next term in 151, 298, 445, 592, 739? 886 What is next in 27, 54, 87, 126, 171, 222, 279? 342 What comes next: 1070, 2140, 3210? 4280 What comes next: -270, -1059, -2374, -4215, -6582, -9475? -12894 What is next in -77, -286, -633, -1118, -1741? -2502 What is next in -1, 35, 71, 107? 143 What comes next: -1303, -5195, -11681, -20761? -32435 What is next in 505, 1002, 1499? 1996 What comes next: -18, -11, -2, 9? 22 What is the next term in 202, 199, 196? 193 What is next in -3, 15, 23, 15, -15, -73, -165, -297? -475 What is next in 55, 40, 15, -20, -65, -120, -185? -260 What is next in 21, 21, 11, -15, -63, -139, -249, -399? -595 What comes next: 9, 10, 11? 12 What is next in -93, -169, -237, -297, -349, -393, -429? -457 What comes next: 939, 941, 941, 939, 935, 929, 921? 911 What comes next: 10, 55, 120, 199, 286, 375, 460? 535 What is next in 195, 170, 121, 42, -73, -230? -435 What comes next: -1871, -1869, -1867, -1865, -1863, -1861? -1859 What is the next term in -146, -295, -444, -593, -742? -891 What comes next: -16, -35, -52, -67? -80 What is next in -6, 12, 38, 72, 114, 164? 222 What comes next: 58, 60, 62, 64? 66 What comes next: 17, 56, 121, 212, 329, 472, 641? 836 What is next in -1, -18, -47, -88, -141, -206, -283? -372 What is next in 42, 71, 100, 129, 158? 187 What comes next: -450, -859, -1268, -1677, -2086? -2495 What comes next: 45, 11, -31, -81, -139? -205 What comes next: 48, 95, 142, 189, 236? 283 What is the next term in 70, 73, 76? 79 What is next in 36, 53, 70? 87 What comes next: -50, -102, -154? -206 What is next in 38, 50, 68, 92? 122 What is the next term in -168, -682, -1532, -2712, -4216, -6038, -8172, -10612? -13352 What is next in -20, 35, 90, 145, 200? 255 What is the next term in 9, 67, 125, 183? 241 What is next in 27, 31, 57, 117, 223? 387 What is next in 9, -18, -79, -186, -351, -586, -903? -1314 What is next in -379, -382, -395, -424, -475? -554 What is next in -652, -645, -626, -589, -528, -437? -310 What comes next: 48, 52, 60, 72, 88? 108 What comes next: 4757, 4742, 4713, 4664, 4589, 4482, 4337? 4148 What is next in 1235, 1251, 1255, 1241, 1203? 1135 What is the next term in 320, 1263, 2820, 4985, 7752? 11115 What is next in -4, -5, -14, -37, -80? -149 What is the next term in 7843, 7845, 7847, 7849, 7851? 7853 What is the next term in 343, 345, 357, 385, 435, 513? 625 What is the next term in 1094, 1092, 1090, 1088? 1086 What is the next term in -135, -287, -441, -597? -755 What comes next: -687, -687, -685, -681, -675? -667 What comes next: 51, 123, 209, 315, 447, 611, 813, 1059? 1355 What comes next: 9131, 18263, 27395, 36527, 45659, 54791? 63923 What comes next: 4224, 8448, 12672, 16896? 21120 What is next in 42, 71, 100, 129, 158, 187? 216 What comes next: 3737, 3761, 3795, 3845, 3917? 4017 What comes next: 358, 313, 268, 223, 178, 133? 88 What comes next: -21, 3, 73, 213, 447, 799? 1293 What is the next term in 72, 86, 110, 144, 188, 242? 306 What is next in 85, 74, 47, -2, -79? -190 What comes next: -17, -10, 17, 76, 179, 338, 565? 872 What is next in 1556, 3118, 4680? 6242 What comes next: 103, 206, 309, 412, 515, 618? 721 What comes next: 7, 11, 11, 7, -1, -13? -29 What is next in -143, -147, -151, -155, -159? -163 What is the next term in 38, 7, -34, -91, -170, -277, -418, -599? -826 What comes next: -10866, -21730, -32594? -43458 What is the next term in 194, 224, 274, 344, 434, 544? 674 What is next in -22, -64, -128, -220, -346, -512? -724 What is next in -182, -176, -168, -158, -146, -132, -116? -98 What is the next term in -3674, -3675, -3676, -3677, -3678, -3679? -3680 What comes next: -56, -47, -32, -11, 16? 49 What is the next term in -10, -27, -72, -157, -294, -495? -772 What comes next: 97, 195, 291, 385, 477, 567, 655? 741 What is next in -18, -30, -38, -42, -42, -38? -30 What comes next: 208, 222, 258, 328, 444, 618, 862? 1188 What comes next: -475, -479, -483, -487? -491 What is next in 30, 70, 136, 228? 346 What is next in 9, 10, 1, -24, -71? -146 What is the next term in 70, 131, 192? 253 What is the next term in 90, 169, 248? 327 What is next in -96, -112, -104, -60, 32, 184, 408, 716? 1120 What comes next: -155, -584, -1299, -2300, -3587, -5160, -7019? -9164 What is the next term in 36, 71, 118, 183, 272, 391, 546? 743 What is next in 2905, 2901, 2895, 2887? 2877 What is the next term in 12307, 12310, 12315, 12322, 12331, 12342, 12355? 12370 What is next in -137, -151, -165, -179, -193? -207 What is next in 46, 62, 88, 124, 170? 226 What is the next term in 11297, 11296, 11295? 11294 What is the next term in 123, 141, 173, 225, 303, 413? 561 What is the next term in -12, -100, -254, -480, -784? -1172 What comes next: -7, -12, -15, -10, 9, 48, 113, 210? 345 What comes next: -594, -592, -588, -582, -574, -564? -552 What is next in 26, 37, 48? 59 What is next in 1, 0, -1, -2, -3? -4 What is next in 104, 88, 74, 62, 52, 44, 38? 34 What is next in 3463, 3459, 3453, 3445, 3435? 3423 What comes next: 4753, 4750, 4747? 4744 What comes next: 846, 856, 866? 876 What is next in 246, 218, 186, 150? 110 What is next in -12, -11, -12, -15, -20, -27, -36? -47 What comes next: -328, -326, -324? -322 What is the next term in -13, -8, -3, 2, 7, 12? 17 What is the next term in 421, 412, 399, 382? 361 What is next in 24, 21, 6, -27, -84, -171, -294, -459? -672 What comes next: -10, 49, 146, 281? 454 What comes next: -18, -36, -54, -72? -90 What is the next term in 1, 33, 67, 109, 165, 241, 343? 477 What is the next term in 16, -6, -66, -182, -372, -654? -1046 What is the next term in 100, 399, 896, 1591, 2484, 3575, 4864? 6351 What comes next: -34, -33, -18, 17, 78, 171, 302, 477? 702 What is next in 24402, 24401, 24400, 24399? 24398 What comes next: -83, -176, -277, -386? -503 What is next in 5, 30, 73, 134? 213 What is the next term in -243, -484, -725, -966, -1207, -1448? -1689 What is the next term in 507, 504, 513, 540, 591, 672? 789 What is next in -35, -40, -59, -98, -163, -260, -395? -574 What is next in -1045, -1048, -1053, -1060, -1069? -1080 What is next in 7, 1, -5, -11, -17? -23 What is the next term in 531, 524, 517, 510? 503 What is the next term in 42, 53, 82, 141, 242, 397, 618? 917 What is the next term in -3, -6, -35, -102, -219, -398, -651, -990? -1427 What comes next: -190, -194, -198, -202? -206 What comes next: 7663, 15324, 22985, 30646, 38307, 45968? 53629 What is the next term in 112292, 112290, 112286, 112280, 112272, 112262? 112250 What is next in 310, 304, 286, 250, 190, 100, -26, -194? -410 What is the next term in 56, 78, 102, 128, 156, 186, 218? 252 What is the next term in 314, 1240, 2784, 4946, 7726? 11124 What comes next: -9, -27, -71, -153, -285, -479, -747, -1101? -1553 What is next in 641, 634, 631, 638, 661, 706, 779? 886 What comes next: -291, -291, -281, -255, -207, -131, -21, 129? 325 What comes next: -162, -183, -194, -1
{ "pile_set_name": "DM Mathematics" }
. Solve -g*d + 0 - 4 = 0 for d. -1 Let j be (-1)/3 - 80/(-24). Let z(n) = -n**3 + 9*n**2 - 11*n + 29. Let c be z(8). Solve c*b = j*b + 2 for b. 1 Suppose 0 = -58*j + 100 + 132. Solve -j*q + 25 = 9 for q. 4 Suppose 5*t + 3*a = 521, -4*t + 4*a + 408 = 2*a. Suppose 99*j - t*j + 60 = 0. Solve 0 = 5*p - j + 35 for p. -4 Suppose 3*n - 33 = 24. Let y(x) = -x**3 + 21*x**2 - 39*x + 22. Let f be y(n). Solve 2*l + l = f for l. 1 Suppose 0 = 3*g - 5*x - 11 - 28, -2*g = 3*x - 7. Suppose -4*d = r - 11, d - 3*d = 4*r - 2. Solve d*o - 20 = g*o for o. -4 Suppose 0 = -6*k - 166 - 158. Let c = -39 - k. Solve x = -4*x + c for x. 3 Suppose 34*o = 32*o. Solve 2*p = -o*p - 0*p for p. 0 Suppose -47 = 7*r + 9. Let g be 3/9 + r/(-3). Solve -m + 8 = -g*m for m. -4 Let g be (2 - -7) + (1 - 3). Suppose -2*v = 2*v + y - 17, 3*v + 4*y = 29. Solve 16 = v*n - g*n for n. -4 Let w(d) = 5*d - 10. Let b be w(-6). Let p = 40 + b. Let c(t) = -t**3 + 4*t**2 + t - 4. Let r be c(3). Solve p = -2*x - 0*x + r for x. 4 Suppose -5*b + 30 = -5*a + 5, -5*b - 4*a = -16. Let w(y) = -23*y. Let r be ((1 - 4) + 2)*1. Let x be w(r). Solve b*l + 3 = x for l. 5 Let r = -3 - -8. Suppose u - 3*x - 6 = 0, -3*u = r*x + 7 - 39. Suppose 3*z + 3 - u = 0. Solve 2*j + z = 3*j for j. 2 Let x = 120 + -168. Let m = 31 + x. Let c = -17 - m. Solve 10 = -c*p - 2*p for p. -5 Suppose 5*b - 78 = -4*t, 5*t = 14 - 4. Solve b*z - 18*z = 0 for z. 0 Suppose -4*t + 15 = 3*u, -14*t + u = -18*t + 5. Solve t = 4*v + 138 - 122 for v. -4 Let w = 505 - 498. Solve 11*b - w*b = 16 for b. 4 Let c(j) = -j**2 + 6*j - 5. Let k(o) = -o**2 + 6*o - 5. Let s(t) = -5*c(t) + 6*k(t). Let z be s(4). Suppose 0 = -4*g + 5*g - z. Solve g = -w + 8 for w. 5 Let h = 8 - 2. Suppose -h*f + 4*f = -i + 1, -f = -5*i - 40. Let o be (i/(-4))/((-6)/(-16)). Solve 2*p - 12 = o*p for p. -3 Suppose -3*y - 212*n + 211*n = 0, -11 = -5*y + 2*n. Solve 0 = -7*l + 36 - y for l. 5 Let l(h) = -h + 10. Let c be l(6). Let p be 52/(-91) - c/(-7). Suppose p*n + 8 = 4*n. Solve -n*g = 8 - 0 for g. -4 Suppose 3*s + 0 = 2*b + 8, s = b + 2. Let c = 1 + 1. Solve s = c*j - j for j. 4 Suppose 20 = -c - 5*s, -c + s + 3*s + 16 = 0. Suppose 5*j = -r + 4, -2*r + 6 = -j - 2. Solve v + 3*v - r = c for v. 1 Let l(o) = -o**3 + 9*o**2 - 18*o - 2. Let v be l(6). Let j be (-40)/30*(3/6 + v). Solve -u - j*u + 6 = 0 for u. 2 Let b = -1767 - -1792. Solve b*w - 7 = 18*w for w. 1 Let y(b) = 8*b - 1. Let o be y(-4). Let l = o + 37. Solve 3*z = l*z for z. 0 Let y be 0/((0 + -12)/4). Suppose -2*z - 65 = -3*n - y*z, -22 = -2*n - 4*z. Solve -5*h + n + 6 = 0 for h. 5 Let s = 18 - 36. Let p = -13 - s. Solve 22 = p*l + 7 for l. 3 Let k be (-12)/(-8)*-2 + 59. Let c = 81 - k. Suppose -2*o + 0*o = -4*z - 26, 2*z + c = 5*o. Solve 0*i + o*i = -12 for i. -4 Suppose -2*a - 40 = -7*a. Suppose 335 = 64*f + 3*f. Solve m + a = f*m for m. 2 Suppose 3*g + 6 - 18 = -3*z, 3*g - z = 12. Suppose -2*a = g*a. Solve a = -3*c + 1 - 16 for c. -5 Let q be (-1 - -1)/(-18 - -15). Solve o - 5*o = q for o. 0 Let o be 4/(-1*8/(-12)) - 0. Let q be ((-4)/o*6)/(-2). Solve 6 = -q*j + 14 for j. 4 Suppose -5*x - 5*d + 8 = -12, 3*x - d = 0. Let b be x/(-2)*((0 - 0) + -2). Solve 5 = -4*p + b for p. -1 Let a = 0 + 0. Let l(m) be the first derivative of -m**3/3 - 5*m**2/2 - 4*m + 25. Let z be l(-3). Solve -z*x + a*x + 10 = 0 for x. 5 Suppose -49*y = 23*y - 4320. Solve 45 = y*o - 51*o for o. 5 Suppose 5*r - 2*x - 4 = r, 5*r + 5*x = 20. Solve -9*w - 33 = r*w for w. -3 Let v = -3 + 1. Let z be -2 - 0 - v*5. Let f(c) = c**3 - 8*c**2 + 1. Let k be f(z). Solve k = 5*o - 4 for o. 1 Let m = -75 - -75. Suppose 4 = 6*l - 4*l. Solve -l*r + r = m for r. 0 Suppose a = -3*a + 24. Let g be (-2)/(-7) - (-264)/(-42). Let w(t) = t + 11. Let z be w(g). Solve a*o = o - z for o. -1 Suppose -4 = 13*f - 56. Suppose 4*o + 0 + 4 = f*z, 3*z + 2*o = 13. Solve 2*c - z*c - 4 = 0 for c. -4 Let v(d) = 0*d - 5*d + 4*d. Suppose -3*n = 5*g - 5, 2*g = -4*n + 5*n + 13. Let m be v(n). Solve 0 = 7*p - 2*p + m for p. -1 Suppose 5*j + 235 = 5*s, -9 + 24 = -3*j. Solve s*h + 64 = 26*h for h. -4 Let o = -69 - -71. Let p be (-4)/(-4)*(-2 + o). Solve -4*q + p*q = -4 for q. 1 Suppose 0*b - 190 = -2*b. Let f be (-2)/(-5)*b/2. Let k = f + -19. Solve -2*d - 4 = -k*d for d. -2 Let f(p) = 15*p - 790. Let y be f(53). Solve -6*x = -y*x + x for x. 0 Let r(l) = l**2 + l. Let q = -2 + 2. Let o be r(q). Suppose -4*y + o*y - 14 = -5*x, 3*x = 2*y + 8. Solve 0 = 3*w + 1 + x for w. -1 Suppose -4*t = -3*v + 7, 14*t - 3*v = 15*t - 17. Solve -37 + 27 = -t*x for x. 5 Let b = -656 + 663. Solve 2*z + 5*z = b for z. 1 Let h be (-8)/(-6) - 12/(-18). Suppose -2*b - 4 = -6*b. Let n be ((-1)/2)/(b/(-6)). Solve -p + n = -h for p. 5 Let i(o) be the third derivative of o**4/12 - 7*o**3/3 - 11*o**2. Let s be i(7). Solve s = 4*w - w for w. 0 Suppose 0 = -3*n - n. Suppose 0 = 6*d - 4274 + 4184. Solve 3*g + n = d for g. 5 Suppose -5*v + 19 + 41 = 0. Let r be 1*-2 - (-16 + v). Let j be r + (4/2 - -2). Solve 6 = 3*d - j for d. 4 Let j(t) = 5*t**2 + 6*t - 2. Let f(d) = 4*d**2 + 7*d - 3. Let g(x) = -3*f(x) + 2*j(x). Let h be g(-5). Solve h*v = -v for v. 0 Let x be (1*9)/((-7)/(-42)). Suppose 6 = -0*r - 3*r, x = 5*d + 3*r. Solve -5*m = 3 + d for m. -3 Let o be (3 - 10 - -12) + 6/(-2). Let u = -1 - -6. Let l(r) = r - 3. Let m be l(u). Solve -t = -m*t + o for t. 2 Let m(v) = 2*v**3 - 16*v**2 + 6*v - 5. Let w be m(8). Solve -w = -5*p - 63 for p. -4 Suppose 0 = -3*o - 5*n + 26, -n = 3*o - 2*n - 56. Solve 0 = o*i - 20*i - 12 for i. -4 Suppose -3*l + 5*l = 16. Let u = l - 1. Let b(j) = j**3 - 9*j**2 + 9*j - 3. Let h be b(8). Solve h*y = -18 - u for y. -5 Suppose -2*c = m + 66, -3*m - 47 = 2*c + 23. Let a be 6 - (-3 + 1)/(16/c). Solve -6*r = -a*r - 20 for r. 5 Let j = -14 - -30. Let r be -2 + -4 + 21/9*3. Solve -r = -5*m - j for m. -3 Suppose 6 = 4*j - 2. Let f(u) = 11*u - 11. Let r be f(j). Solve 2*x - 5 = -r for x. -3 Let b(t) = -5*t - 11. Let n be b(-7). Suppose 6*h - 2*h = n. Solve -w - w = h for w. -3 Let n(z) = z**3 + 4*z**2 - 4*z + 7. Let l be n(-5). Suppose 4*i - 16 = l*b + 4, 3*b + 14 = 2*i. Suppose 0 = 4*u + 106 - 118. Solve i*r - u*r = 4 for r. 4 Let v(y) = 3*y**2 - 20*y + 16. Let i(x) = 2*x**2 - 13*x + 10. Let z(p) = 7*i(p) - 5*v(p). Let m = 15 + -8. Let d be z(m). Solve -d = -s - 7 for s. -3 Let g = -50 - -54. Let u be (g + (-27)/6)*8/(-2). Solve -2 = u*x + 2 for x. -2 Let l(c) = c**2 - 6*c + 7. Let u be l(9). Suppose -10 - u = -11*a. Suppose -2*w + 3*v = -5, 4*w + 2*v - 41 = 9. Solve -3*t + w = a for t. 2 Let g(y) = -y**2 - 12*y - 18. Let a be g(-10). Suppose 0 = f - a*f - 2. Let x be (2 - 2)/(f - -3). Solve h - 4 = -x*h for h. 4 Suppose 0*p + 8*p = 0. Suppose 3*b - 44 - 16 = p. Solve z - 6*z + b = 0 for z. 4 Let o(l) = -l - 10. Suppose 0 = -4*f + 5*j - 33, f - j = 6*f + 63. Let b be o(f). Suppose -2*y - 10 = -4*u + 3*u, 15 = -5*u - 3*y. Solve b*g = -u*g - 10 for g. -5 Let p be -1*(-1)/7*0. Solve 1 = -p*q + q for q. 1 Let h be (2 - 3) + 3 - -4. Let k(j) be the first derivative of -j**2/2 + 2*j + 5. Let d be k(-2). Solve 5*o = d + h for o. 2 Let y = 8 - 32. Let u = y + 29. Solve 5*k - 5 = u for k. 2 Let x = -2242 + 2251. Solve -x*o - 29 = -2 for o. -3 Let t be (0 + (-8)/3)*-3. Suppose 0 = 5*y - 7 - t. Let v be (1 - y)/(3/(-6)). Solve 0*m + v = -2*m for m. -2 Let d(o) = -38*o + 10. Let g be d(0). Solve 3*n + g = -5 for n. -5 Let j be (-1 + 1 + 2)*1. Let h be -2*(j - (-3 - -6)). Suppose -3*c = h*c - 15. Solve -k = -0*k + c for k. -3 Let c = -1 + 3. Suppose 0 = -c*u + 7*u - 115. Suppose -2*b - 4*j + 2*j + 14 = 0, 4*b = -3*j + u. Solve d = -b*d for d. 0 Let h = -23 - -20. Let g be ((-60)/(-40))/(h*(-2)/40). Solve 0 = 5*i + 15 + g for i. -5 Let x(v) = -v - 3. Let u be x(-3). Suppose 125 = 11*w - 51. Suppose -m = 1 - w. Solve u = -8*g + 3*g + m for g. 3 Let t(f) = -2*f**2 - 15*f + 6. Let k be t(-4). Solve -3 = -k*l + 35*l for l. -3 Suppose -97*f + 94*f = -9. Solve f*q = -5 + 2 for q. -1 Let j = 9 - 17. Let s be (-52)/(-14) - j/28. Suppose -5*q = -q + s*g - 4, 4*q - 2 = -5*g. Solve 4*k + q = 5*k for k. 3 Let r(s) = -s + 10. Let b be r(5). Suppose -2*o + t = -4 - 11, o - 35 = -b*t. Let v = 16 - o. Solve -h = -v*h for h. 0 Let v(i) = -i**3 + i**2 - 3*i + 4. Let q(p) = p**3 + p - 1. Let m(g) = -2*q(g) - v(g). Suppose 3 =
{ "pile_set_name": "DM Mathematics" }
at is prob of sequence iiii when four letters picked without replacement from iiiiii? 1 Four letters picked without replacement from cccctcctcc. Give prob of sequence tctc. 1/45 What is prob of sequence ii when two letters picked without replacement from idbbi? 1/10 What is prob of sequence cce when three letters picked without replacement from {c: 15, e: 5}? 35/228 What is prob of sequence yay when three letters picked without replacement from way? 0 What is prob of sequence yyj when three letters picked without replacement from {y: 3, j: 2, v: 4}? 1/42 Calculate prob of sequence tf when two letters picked without replacement from ftqoqtotttqtffftfq. 35/306 Two letters picked without replacement from tgegeegemhm. Give prob of sequence hg. 3/110 What is prob of sequence zzoo when four letters picked without replacement from ooooozozoozoozoozoz? 65/1292 Calculate prob of sequence wzw when three letters picked without replacement from rrghzhrrrwzrrgrzhrwr. 1/1140 Calculate prob of sequence pd when two letters picked without replacement from dpjpjjpdjpqpdp. 9/91 What is prob of sequence uizz when four letters picked without replacement from pmuuzuuzpi? 1/630 Four letters picked without replacement from mmcuecqmqmce. Give prob of sequence cqcu. 1/990 Two letters picked without replacement from {v: 2, p: 1, i: 4}. Give prob of sequence ip. 2/21 What is prob of sequence all when three letters picked without replacement from {l: 11, a: 2}? 5/39 Calculate prob of sequence mias when four letters picked without replacement from ssslsima. 1/420 What is prob of sequence dddd when four letters picked without replacement from dddd? 1 Two letters picked without replacement from {p: 3, r: 1, f: 1, q: 1, s: 6}. What is prob of sequence fs? 1/22 Three letters picked without replacement from {r: 2, l: 2}. Give prob of sequence rlr. 1/6 What is prob of sequence hclh when four letters picked without replacement from {f: 1, v: 3, l: 1, c: 4, h: 5, t: 4}? 1/918 What is prob of sequence ewwe when four letters picked without replacement from wweweeweewewwwwwww? 11/204 What is prob of sequence mppe when four letters picked without replacement from hphmeopo? 1/840 Two letters picked without replacement from {s: 2, g: 1, r: 2, u: 1, q: 1}. What is prob of sequence rs? 2/21 What is prob of sequence xa when two letters picked without replacement from {t: 13, x: 1, a: 1}? 1/210 Two letters picked without replacement from {s: 2, v: 9}. Give prob of sequence vv. 36/55 Three letters picked without replacement from {p: 1, o: 1, s: 5, m: 3, j: 1, w: 1}. Give prob of sequence mws. 1/88 Calculate prob of sequence ja when two letters picked without replacement from tjttxttatjxtajjaaj. 10/153 Calculate prob of sequence qqp when three letters picked without replacement from {v: 3, f: 3, q: 5, a: 1, h: 4, p: 4}. 2/171 What is prob of sequence hdhd when four letters picked without replacement from hhhhhddhhhhdhh? 5/182 Four letters picked without replacement from {h: 5, e: 7, a: 8}. What is prob of sequence ehah? 28/2907 What is prob of sequence baba when four letters picked without replacement from {b: 5, a: 13}? 13/306 Three letters picked without replacement from {f: 3, t: 3, i: 1, c: 5, u: 5, n: 1}. What is prob of sequence nct? 5/1632 Calculate prob of sequence yqbb when four letters picked without replacement from {b: 1, y: 2, q: 1}. 0 Calculate prob of sequence sbs when three letters picked without replacement from sbyrfrs. 1/105 What is prob of sequence vfvv when four letters picked without replacement from sfvvvvs? 1/35 Calculate prob of sequence npn when three letters picked without replacement from ppnnnnnnpp. 1/6 Two letters picked without replacement from tqocoeke. What is prob of sequence kq? 1/56 Two letters picked without replacement from {t: 6, c: 2, q: 1, w: 3, k: 7}. Give prob of sequence cq. 1/171 Three letters picked without replacement from cbuuvcivvbucvvbqu. What is prob of sequence viq? 1/816 What is prob of sequence ggxg when four letters picked without replacement from xrgrgrrrrrxgrrr? 1/2730 What is prob of sequence xxfs when four letters picked without replacement from {s: 1, f: 5, x: 5}? 5/396 Four letters picked without replacement from wetwvav. What is prob of sequence vwev? 1/210 Two letters picked without replacement from tkkbejejbeqe. Give prob of sequence kk. 1/66 Four letters picked without replacement from ykwwomywwkowkqk. What is prob of sequence qomy? 1/8190 Two letters picked without replacement from {i: 1, b: 2, c: 1}. Give prob of sequence bc. 1/6 What is prob of sequence ju when two letters picked without replacement from qzujjbjjb? 1/18 Calculate prob of sequence pyt when three letters picked without replacement from {p: 2, y: 2, t: 1}. 1/15 Three letters picked without replacement from kmtdkyyf. What is prob of sequence mtd? 1/336 Three letters picked without replacement from ablllblap. What is prob of sequence bap? 1/126 Three letters picked without replacement from {c: 7, j: 1, m: 4, x: 1, o: 2, y: 3}. Give prob of sequence myo. 1/204 Four letters picked without replacement from aiaooabobobuaoau. Give prob of sequence aaia. 1/728 Three letters picked without replacement from {x: 2, w: 3, k: 1, v: 4, b: 1}. What is prob of sequence wwx? 2/165 Three letters picked without replacement from {q: 14, p: 5}. Give prob of sequence qqq. 364/969 Four letters picked without replacement from {g: 6, a: 2, h: 3, q: 2, l: 3}. What is prob of sequence lqhq? 3/7280 Calculate prob of sequence aqqa when four letters picked without replacement from qqqaqqaa. 1/14 Four letters picked without replacement from {j: 5, o: 2, g: 1, f: 1}. Give prob of sequence ofog. 1/1512 Calculate prob of sequence vcc when three letters picked without replacement from nccvnccv. 1/14 Calculate prob of sequence tf when two letters picked without replacement from tsbqfso. 1/42 What is prob of sequence uhfu when four letters picked without replacement from {u: 2, h: 1, f: 11}? 1/1092 Calculate prob of sequence uwk when three letters picked without replacement from {c: 1, k: 1, f: 1, v: 1, w: 1, u: 2}. 1/105 Three letters picked without replacement from nqzqnznzzqzzzznz. What is prob of sequence qnq? 1/140 Four letters picked without replacement from frrbfbbbf. Give prob of sequence bbrr. 1/126 Calculate prob of sequence cccc when four letters picked without replacement from {p: 7, c: 7}. 5/143 Two letters picked without replacement from nnlnnnlnnllnlgnnn. Give prob of sequence ln. 55/272 Calculate prob of sequence wwtw when four letters picked without replacement from twtwtttttt. 0 Calculate prob of sequence ny when two letters picked without replacement from {n: 1, y: 1, f: 2, a: 2, j: 2}. 1/56 What is prob of sequence xvx when three letters picked without replacement from yggxxgxvgvgxxxggggv? 5/323 Four letters picked without replacement from {a: 1, c: 2, v: 2, h: 1, q: 1}. Give prob of sequence hcca. 1/420 Calculate prob of sequence we when two letters picked without replacement from awwtaetwwtwtwdww. 1/30 Calculate prob of sequence vll when three letters picked without replacement from {v: 2, l: 8}. 7/45 Two letters picked without replacement from dddeded. What is prob of sequence dd? 10/21 Two letters picked without replacement from uuuzuqqxuubuuuuxuu. What is prob of sequence qq? 1/153 Calculate prob of sequence cy when two letters picked without replacement from yvcyccccfy. 1/6 Two letters picked without replacement from {e: 4, i: 6}. Give prob of sequence ii. 1/3 Four letters picked without replacement from {p: 5, e: 1, g: 8, k: 2}. Give prob of sequence epkk. 1/4368 What is prob of sequence uuuj when four letters picked without replacement from jtuttttjjututjuj? 1/364 What is prob of sequence ccc when three letters picked without replacement from ucecueeuece? 1/165 Two letters picked without replacement from {w: 1, m: 4, d: 1, v: 1, y: 1}. Give prob of sequence my. 1/14 What is prob of sequence de when two letters picked without replacement from yeeydeyydeeeee? 8/91 Calculate prob of sequence znnz when four letters picked without replacement from nznnz. 1/10 Two letters picked without replacement from xjppejeav. What is prob of sequence jp? 1/18 What is prob of sequence
{ "pile_set_name": "DM Mathematics" }
2 Express (-16*b**2 - 32*b**2 + 11*b**2)*(4*b**2 - 127*b**2 - 99*b**2) as z*b**2 + y*b**3 + h*b + i + x*b**4 and give x. 8214 Rearrange -3285*a - 299 + 299 - 245*a - 1301*a to b + x*a and give x. -4831 Express (334 - 122 + 346 - 3 + 6 - 1 + (3 + 2 - 3)*(-4 + 4 + 1))*(-q**3 + 3*q**4 + q**3) as i*q + o*q**4 + s*q**3 + n*q**2 + z and give o. 1686 Rearrange (-2*t + 0*t - 8*t)*(40*t**2 - 75*t**2 - 4*t + 51*t**2) to the form r*t + j*t**2 + a + x*t**3 and give x. -160 Express 577*g**2 + 153*g**2 + 867*g**2 + 530*g**2 + 8*g**2 in the form l*g**2 + r*g + j and give r. 0 Rearrange 2*z - 3 + 3 + (2 + 4 - 5)*(3*z - 5*z + z) - 6571 + 6571 - 2902*z to the form w*z + p and give w. -2901 Express (11*w - 55*w + 25*w)*(34 + 13 + 54) as r + c*w and give c. -1919 Rearrange -6*q + 5212*q**3 - 1 - 5233*q**3 - 2*q**4 + 3*q**2 - 5*q to a*q + p*q**3 + f + b*q**2 + z*q**4 and give f. -1 Rearrange 3*p + 7*p + 21 - 3*p**4 + 2*p**3 - 59*p**2 + 59*p**2 to q*p + h + w*p**2 + i*p**4 + s*p**3 and give i. -3 Express (2403*v - 394194 + 2*v**2 + 394194)*(-3*v**2 + 5*v**2 + 6*v**2) as d*v**3 + j + m*v**4 + q*v + c*v**2 and give m. 16 Express 17214*z + 167053603 - 167053603 in the form b + u*z and give u. 17214 Rearrange -607 + 92 - 69 - 518 + 2*y**2 to the form t + n*y**2 + r*y and give n. 2 Express 3*m**2 - 11*m**2 + 8*m**2 + 7411*m**4 - 7409*m**4 + 63*m**3 - 1 in the form t + u*m**2 + g*m**4 + n*m**3 + b*m and give n. 63 Rearrange (-3*q + 0*q + 2*q)*(-10*q + 3*q + 30*q) - 62*q + 2*q**2 - 594 + 594 to r*q**2 + o*q + d and give o. -62 Rearrange 16*q**2 - 3*q + 2536 - 26*q**2 + 3*q - 2936 to l*q + a + i*q**2 and give i. -10 Rearrange -46469*m + 38873*m - 266 + 266 to d + v*m and give v. -7596 Express 304*h**2 - 36*h**2 + 2 - 2 + 13*h - 12*h as l*h + f*h**2 + k and give l. 1 Rearrange (-26 + 26 - 7*t)*(42*t**3 - 26*t**3 - 29*t**3) to u*t**3 + d*t**2 + q*t**4 + j*t + k and give q. 91 Express (4*k - k - k)*(-11*k**2 - 3*k + 3*k) - 7*k**3 - 45*k**3 - 168*k**3 as r*k**3 + d*k + y*k**2 + o and give d. 0 Rearrange -3309 + 1641 - 1178*n**2 + 1669 to q + v*n + r*n**2 and give v. 0 Express -291*i**2 - 7*i**3 - 273 + 646*i**2 - 8*i**3 - 355*i**2 in the form x*i**2 + y*i + r*i**3 + a and give a. -273 Rearrange (5262*i + 3 - 3317*i + 3563*i + 4218*i)*(3*i + 1 - 1) to the form x*i**2 + a + v*i and give x. 29178 Express (0 - 13 + 1)*(4 + 4 - 6)*(0*j - 7*j - 7*j)*(0 + 4 - 2)*(-2*j + 2*j + 8*j) as x*j + w*j**2 + o and give o. 0 Rearrange (0 + 4 - 5)*(-j**3 + 4*j**3 - 2*j**3 + (-j**3 + 5*j**3 - 6*j**3)*(6 - 1 - 53) + 22 - 22 - 8*j**3) to g + p*j**2 + o*j + n*j**3 and give n. -89 Rearrange (-2*k - k + k)*(-2 + 1 + 0) + 0 + 1706853*k + 0 - 1692850*k to the form b + i*k and give i. 14005 Express -195 + c + 3815*c**2 + 44 - 3796*c**2 - 204 in the form d + r*c + v*c**2 and give v. 19 Express (1 + 10*a + 1 - 9*a)*(3*a - 2*a + 3*a) + 51967*a - 51967*a + 150*a**2 in the form b + j*a + v*a**2 and give j. 8 Rearrange 13704 - 13704 + 255*f**3 - 5*f**3 - 2*f**3 - 2*f**3 + (-4 + 3 - 2)*(3*f**3 + 0*f**3 - 2*f**3) to h*f**3 + i + k*f**2 + q*f and give h. 243 Rearrange 4*p**4 - 2*p**4 - p**4 + (3 - 2*p**4 - 3)*(-1 - 3 + 6)*(-71 + 305 + 190 + 311) to the form l*p**3 + j*p**2 + q*p + t*p**4 + r and give t. -2939 Rearrange w**3 + 5*w**2 - 2*w + 128*w**4 + 6*w**4 - 9*w**2 + 3*w**2 + 86*w**4 to c*w**4 + m + r*w + z*w**3 + n*w**2 and give n. -1 Rearrange 720 - 720 + 1969*l to the form j + v*l and give v. 1969 Rearrange 33 + 30*w + 23 + 24 - 36*w - 37*w to the form g + y*w and give y. -43 Rearrange (-32 + 20 + 7)*(-2000*s + 36*s**3 + 2000*s) to the form u*s**2 + a*s**3 + p*s + x and give a. -180 Rearrange 166 - 116*d**2 - 77*d**3 - 26 + 111*d**3 + 116*d**2 to t + u*d**3 + r*d**2 + y*d and give u. 34 Express 2367*f**2 - 190086 + 190086 in the form y*f + r*f**2 + u and give r. 2367 Express (848*i + 1247 - 1247)*(4*i - 4*i - i)*(0 - 5 + 3)*(-1 + 3 - 1)*(-3*i - 3*i + 2*i) in the form s*i**2 + l*i**3 + a*i + v and give l. -6784 Rearrange (8 + 26 - 14)*(-59*f - 20167 + 20167) to j*f + q and give j. -1180 Express -33600 + 33600 - 1436*h**3 + 312*h**3 + (4 - 4 + 2*h)*(h**2 - 6*h + 6*h) in the form p*h**3 + m*h + l*h**2 + a and give l. 0 Express (-2*r**3 + r**3 + 10*r**3)*(74 + 5*r + 65*r - 70) in the form x*r**4 + m*r**3 + q + c*r**2 + u*r and give m. 36 Rearrange -1384 + 585 + 2*i - 384 to x + p*i and give p. 2 Express 6*h - 5 + 5 - 2*h + 27*h + 10*h - 2*h + 3*h + h - 6*h + 2*h + h + (-2 + 2 - 2)*(1 - 1 - h) - 4 - 3*h + 4 as u*h + v and give u. 39 Rearrange (-1 + 3 - 1)*(-15 + 9 + 7 - 53*v)*(3*v**3 + 4*v**2 - 6*v**2 - v**3 - 1) to the form d*v**3 + c + f*v**4 + j*v**2 + z*v and give f. -106 Express -4*r - 2*r - 7*r - 435 + 435 - 28*r + (1 + 2 + 0)*(-2*r + r - r) + 0 - r + 0 in the form m*r + s and give m. -48 Express -7882 + 89*s**4 - 65*s**4 + 7892 + (4 - 4 - 2)*(-s**4 + 3*s**4 + 0*s**4) in the form z*s**2 + k*s + d*s**3 + q*s**4 + a and give q. 20 Express (-70*c + 153*c + 255*c + 21*c + 301*c)*(17*c + 10*c - 3*c) in the form w*c + y*c**2 + u and give y. 15840 Rearrange -84*y**2 + 42 - 3*y + 3*y + 65*y**2 - 2 to the form h + u*y + c*y**2 and give c. -19 Rearrange (49*i - 49*i + 174*i**2)*(-2*i - 12*i - 3*i) - i**3 - i**3 - i**2 - i**2 + i to the form n*i**2 + b + d*i**3 + v*i and give d. -2960 Rearrange -36*y + 4*y**4 + 34*y - 141 - 5*y**4 + 1772 to q + x*y**4 + i*y**3 + h*y + u*y**2 and give q. 1631 Rearrange (x + 0*x + 0*x)*(-1 + x + 1) + (-23*x + 14*x - 28*x)*(16*x - 14*x - 13*x) to the form m*x + h*x**2 + g and give h. 408 Express 154*s**3 - 233*s**3 + 17 + 1 in the form o*s + g + p*s**3 + y*s**2 and give p. -79 Express (20*y - 556*y + 826 + 158 - 1012)*(-2*y**3 + 5*y**3 - y**3) as o*y**4 + n*y**2 + d*y + t + m*y**3 and give n. 0 Rearrange -98*p + 91*p**3 + 37*p + 30*p - 18*p**3 + 39*p - 2 to the form q*p + c*p**2 + l + m*p**3 and give l. -2 Rearrange -c**2 - 8*c**3 - 4 + 7 - c**3 + 2*c + 53*c**4 - 51*c**4 to l*c**2 + k*c + j*c**3 + b*c**4 + r and give b. 2 Rearrange (-16*h**2 + 12*h**2 - 4*h**2)*(22*h - 12*h - 7*h - 3*h + 1259*h**2) to a*h**2 + q*h + k*h**3 + v + j*h**4 and give j. -10072 Express (4*x - x - x)*(0*x**2 - 2*x**2 - x**2)*(5314*x - 3 + 38434*x + 11 - 8) in the form t*x + g + d*x**3 + m*x**2 + p*x**4 and give p. -262488 Express (19 + 6 - 9)*(-21 + 8 - 12 - 48)*(9*v - 11 - 4 - 6*v) as x*v + g and give x. -3504 Express 0 - 1 + 2*c**2 - 3*c + 46*c**3 + 0*c + 12*c**4 - 11*c**4 + 0*c**4 in the form j*c + z + o*c**4 + d*c**2 + b*c**3 and give d. 2 Express (9 - 9 + 11*t)*(-474 + 1035 + 1364 - 332) as c*t + i and give c. 17523 Rearrange ((-830 + 58*i + 830)*(-4 - 1 + 4) + 0*i + 4*i - 5*i)*(23*i**2 - 23*i**2 + 6*i**3) to the form b + p*i**2 + v*i**4 + m*i**3 + j*i and give v. -354 Express (-2 - 1 + 1)*(239 - 58 - 2*s - 102) in the form n*s + j and give n. 4 Rearrange 146482*b - 14*b**2 - 4 - 146473*b - 5*b**2 to q + o*b**2 + j*b and give j. 9 Rearrange -24 - 5*h + 37*h**2 - 11*h**2 + 5*h**2 + 21*h**2 + 21 to the form v*h**2 + m + f*h and give m. -3 Express ((-1 + 7 + 1)*(-3 - 4 + 4) - 4 + 1 - 7)*(-2*l - l + l)*(-4*l - 138 + 138) as p*l + t*l**2 + y and give t. -248 Rearrange (-b + 5*b + 2*b)*(8 - 748 + 12782 + 7382) to the form a + n*b and give n. 116544 Rearrange 756 - 2*n - 758 + n**2 + 12*n**4 + 24*n**4 + 9*n**3 + n**4 to the form h*n**2 + a + c*n + j*n**4 + r*n**3 and give c. -2 Express 5875*d**4 - 3382*d**4 - 2970*d**4 + (d**2 + 3*d**2 - 7*d**2)*(-3*d**2 - 2*d**2 + 4*d**2) as h*d**2 + i*d**3 + s*d**4 + m*d + y and give s. -474 Express -7*c**2 + 14 - 3 - c**3 + 10*c**2 + 2 + 11*c in the form x*c + a + s*c**2 + b*c**3 and give s. 3 Rearrange 17 - 9 + 4006*u**2 - 8 + 1629*u**2 to the form n*u**2 + f + m*u and give n. 5635 Rearrange 4 - 4 + 23*l + 4*l - 3*l + 4*l + (-3*l + 3*l - 2*l)*(-4 - 1 + 2) + 2*l - l + l - 4 + 4 - 2*l + 3*l + 1 - 1 to the form c + t*l and give t. 37 Express 4738*l**2 + 2199*l**2 + 6 + 1294*l**2 - 6 as q*l + f*l**2 + x and give f. 8231 Rearrange (3 + 1 - 2)*(2457 + 38*x - 2457) - 1 - x + 1 + (3 - 11 - 9)*(0 + 2*x + 0) to the form r*x + h and give r. 41 Express -234 + 74 + 138 + 63*l in the form b*l + z and give b. 63 Rearrange 3 - 17*v + 4228*v**2 - 4227*v**2 - 45*v to the form t*v**2 + h*v + p and give h. -62 Rearrange (-4 + 2 + 4)*(4*f - f**2 - 4*f) - 97767*f - 87*f**2 + 97767*f + 55 to th
{ "pile_set_name": "DM Mathematics" }
value? (a) w (b) q (c) 4 a Let j = 423.5 + -427.333. Let m = j + -0.067. Let n = m - 0.1. Which is the third smallest value? (a) -5 (b) n (c) 0 c Let j = 8 - -1. Let h be j/15*10/2. What is the third biggest value in -5, h, 1? -5 Let f be (-1 - 0)/(6/30). Let s = 0.3 + -0.4. Let i be (4/15)/((-2)/(-5)). Which is the second smallest value? (a) i (b) s (c) f b Let s = 5.4 + -5. Let y = 11 - 11.3. Which is the third smallest value? (a) s (b) -3 (c) y a Let k be 1/2 + 146/(-90). Let x = 9/10 + k. Which is the third smallest value? (a) 2/5 (b) x (c) -0.2 a Let m = -31.46 - -31. Let v = m + -0.04. Let q = 16 - 11. Which is the second smallest value? (a) v (b) 2 (c) q b Let r = -147 + 139.3. Let b = 8 + r. What is the biggest value in -2/3, b, -1? b Let l(a) = -a**3 + 3*a**2 - a - 1. Let n be l(2). Suppose -3 = -w - 0. Let j be ((-4)/2)/(w/n). What is the second biggest value in -1, j, 0? j Let q be (-3)/3*(-1)/(-4). Let m = 299/56 + -45/8. Which is the third biggest value? (a) 3/5 (b) q (c) m c Suppose 0*q + q = 0. Suppose 4*t - 47 = -5*m, -t - 4 = -q*m - 4*m. Let p be ((-6)/t)/(42/(-16)). What is the biggest value in -2, p, 0.4? 0.4 Let r = 6.67 + 0.33. Let u = r + -7.3. Let p(a) = -a**3 - 7*a**2 - 8*a - 9. Let m be p(-6). What is the second biggest value in m, 2/3, u? 2/3 Suppose -12 = 5*n - 7. Let y = 4 - 7. Let w(j) = -j**3 + 4*j**2 - 5*j + 2. Let x be w(3). Which is the third biggest value? (a) y (b) n (c) x c Suppose -2*v - 2 = -8. Let x = 8209/21 + -391. Which is the third smallest value? (a) -2 (b) v (c) x b Let x = 0.09 + -0.29. Which is the second biggest value? (a) -0.1 (b) x (c) -3 b Let h be -28*3/(-60) - (3 + -1). What is the second biggest value in h, 0, 0.5? 0 Let a = 10 + -6. Let n = -66 + 71. What is the third smallest value in 2, n, a? n Let m = -0.05 + 0.25. Let p = 0.1 + m. What is the second biggest value in -3, p, 3? p Let o = 0.76 + -0.36. What is the third biggest value in -1.1, -1, o? -1.1 Let w = -3.5 - 0. Let z = 3 + w. Let s = 0.5 + z. What is the second biggest value in -2, 0.2, s? s Let f = 0.6 + -1. Let i = 7 - 8. What is the second smallest value in f, i, -3? i Let x = 34 - 103/3. Let d = 116 + -121. Which is the biggest value? (a) x (b) -2 (c) d a Let j = 3 + -3.1. Suppose 0*h + 25 = -5*h, 0 = -x + 5*h + 29. Which is the third smallest value? (a) 3 (b) j (c) x c Let i be 70*(-6)/45*3. Let k be -2 - 7/(i/6). What is the third biggest value in 0.3, -1/4, k? k Let o be 9/12*(-24)/(-45). What is the smallest value in -0.2, o, 0.1? -0.2 Let w be 1 - 1 - 20/(-16). Let p = 5/24 - -1/8. Which is the biggest value? (a) p (b) w (c) -4 b Let u = 14/33 - 1/11. Let g = 2 - 0. Let j be g*1 - 7/3. Which is the third biggest value? (a) u (b) j (c) -1/2 c Let y = 0.34 + -0.74. What is the third biggest value in 7, 0.1, y, -2? y Let z = -6.6 - -7. What is the third biggest value in -4, z, 1/5? -4 Let z = 673.97 + -670. Let r = z + 0.03. Which is the smallest value? (a) 5 (b) -4 (c) r b Let s = -323.91 - -346. Let o = -19 + s. Let p = -0.09 + o. What is the biggest value in p, -3, 0.3? p Let z = -5.6 - -5.8. Which is the third biggest value? (a) -0.7 (b) z (c) -0.2 a Let g = -0.22 - -0.22. Which is the biggest value? (a) 3 (b) 1 (c) g a Suppose -7 = -5*t + 18. Suppose -8 - 12 = -t*z. Which is the biggest value? (a) z (b) -0.5 (c) -4 a Let k = -8 - -10. Let j be (57/30 + -2)*k. Which is the biggest value? (a) 0 (b) 0.2 (c) j b Let d = -0.15 - -0.47. Let o = -0.02 + d. Let q = o + -0.2. Which is the biggest value? (a) -2 (b) q (c) -0.2 b Let r = -0.6 + -1.8. Let f = r - -2. What is the third smallest value in f, 1/9, -0.02? 1/9 Let p = 0.03 - 0.13. What is the third smallest value in 0, 0.1, p? 0.1 Let u be 0 + 1 - 2*24. Let v be (1 + u)/(5 + -4). Let q be 3/15 + v/(-20). Which is the second smallest value? (a) -2 (b) -1 (c) q b Suppose 3*q + 0*q + 4*m = -29, 4*q = -m - 17. Let p be -49*3/51 + -3 + 6. Which is the smallest value? (a) q (b) p (c) 0.4 a Let l be ((-45)/(-1))/(2 + 0). Let k = l - 22. Let f be ((-1)/2)/(2 + -1). What is the third biggest value in k, 3, f? f Let s = -0.07 - -0.57. Which is the third smallest value? (a) s (b) 6 (c) 3 b Let a be (-316)/(-198) + -2 + 4/18. What is the third smallest value in -16, a, -3? a Let t = -37.2 + 31. Let f = 6 + t. Suppose -6*u = -4*u + 2. Which is the biggest value? (a) f (b) -3/5 (c) u a Let d(r) = -2 + 3 + 3*r**3 - 3*r**2 - 4*r**3 + 9*r**2. Let g be d(6). Which is the second biggest value? (a) 0 (b) g (c) 0.4 c Let u = 12 - 8. Suppose -3*c + 8 = -1. Suppose -4*m + 11 - c = 3*y, 4*y - 4*m + 36 = 0. What is the third smallest value in -5, u, y? u Let g(c) = c**2 - 3*c - 4. Let p be g(3). Let b = p - -1. Let i(h) = h - 9. Let l be i(5). What is the third biggest value in -1/10, b, l? l Let i = -76 - -381/5. Let j = -587/176358 + -2/4641. Let v = j - -543/2926. What is the biggest value in v, -4, i? i Let z = -6.06 - -6. Let d = z + 0.06. Which is the second biggest value? (a) d (b) -0.2 (c) 0.4 a Let i = 40 + -40.4. Which is the third biggest value? (a) -0.5 (b) -63/5 (c) i b Let i = 16.4 + -11. Let y = -5 + i. Suppose 24 = -4*z + 2*w - 6*w, 0 = 2*z + w + 10. Which is the biggest value? (a) y (b) z (c) -2 a Let h = -77.7 + 78. What is the fourth biggest value in 0.5, h, -1/5, -9/4? -9/4 Let x be -1 + ((-7)/(-9) - 0). Let j = 4.24 - 4. Let r = j - 0.04. Which is the third smallest value? (a) x (b) r (c) 1/3 c Let j be (111 - 0 - 0) + 1. Let o be 12/42 - 74/j. What is the second biggest value in -0.1, o, 2/11? -0.1 Let h = -1.93 - 0.07. Let z = h - -1.9. Which is the second biggest value? (a) z (b) 1/3 (c) 0 c Let q = -0.04 - 0. Let g = 1.25 - -1.79. Let a = q + g. What is the second biggest value in -3, a, 4? a Let d = -1/2 - -3/14. Let s = 18.88 - 19. Let w = s + -4.88. What is the smallest value in d, 4, w? w Let h = 2.7 + -2. Let i = -953/3 + 319. What is the third smallest value in i, h, -2/11? i Let q = 0.04 - 0.04. Let z = q + -0.2. Let l = 0.02 + 0.28. Which is the biggest value? (a) -1/7 (b) z (c) l c Let b = -169/2 + 83. What is the smallest value in 0.3, 3, -1, b? b Let j = -2.7 - -6.7. What is the second smallest value in 10, 2/5, j? j Let f(i) = i - 5. Let v be f(8). Let u = 19 - 9. Suppose 4*g - u = 9*g. Which is the biggest value? (a) -1 (b) v (c) g b Let x(s) = -s**2 - s + 1. Let l be x(1). Let v be (-4)/12 - (-21)/9. Let q be 1/(v + 4 + -3). Which is the third biggest value? (a) 2/9 (b) q (c) l c Let b = -12.8 - -19.1. Let s = 6 - b. What is the smallest value in 2, -3, s? -3 Let s = 557078 - 8352808/15. Let r = s - 224. Let f = -8 - -5. Which is the second biggest value? (a) f (b) r (c) 0 c Let v be 0 + 1 - (-20)/(-15). What is the smallest value in 0.2, 8, v? v Suppose -4*u + 15 + 1 = 0. Suppose 4*t + 6 = -14. Which is the third smallest value? (a) t (b) 0 (c) u c Let f = -0.08 - -0.38. Let c = f - -0.1. Let w be -7 - 1/(-2)*6. What is the biggest value in c, 2/9, w? c Let m be 42/5 - 4/10. Let t(z) = z**3 - 5*z**2 - 24*z - 4. Let u be t(8). What is the third smallest value in u, -0.5, m? m Let g = 21 + -21.2. Let r be (-24)/14 - 6/(-3). Which is the third biggest value? (a) r (b) 4 (c) g c Let m = 5 - 6. What is the biggest value in m, 1, 0.5? 1 Let r = 6.9 - 7. Let k = 0.05 - -0.25. What is the smallest value in k, -0.2, r? -0.2 Let r = 1.52 + -1.5. Which is the smallest value? (a) 3 (b) r (c) -3 c Let v be (-2)/5 + (-1)/10. Suppose 2*d + 60 - 10 = 0. Let n = 227/9 + d. Which is the third biggest value? (a) 2 (b) v (c) n b Let u = 2 + -2. What is the second smallest value in -1, 3, u? u Let l be (-45)/(-20) + 1/(-4). Let y(j) = j + 4. Let t be y(-5). Which is the third smallest value? (a) l (b) -2/5 (c) t a Let t = -5/7 - -3/7. Which is the biggest value? (a) -0.4 (b) t (c) -7 b Suppose -5 + 4 = z, -4*d - 2*z = 18. Let g = 35028/3515 + -184/19. Let q = g + -3/37. Which is the biggest value? (a) -3 (b) d (c) q c Let m = 0 + 17. Let g = m + -16.5. What is the smallest value in -4/5, 2, g? -4/5 Let w = 164 + -1806/11. Which is the third smallest value? (a) 0 (b) w (c) -3 a Let y be ((-2)/3)/((-10)/6). Let h = 206 + -210. What is the biggest
{ "pile_set_name": "DM Mathematics" }
+ 20*i + 43. Calculate r(22). -1 Let q(y) = -2*y**2 + 14*y - 28. What is q(2)? -8 Let h(r) = 7*r + 30. Give h(-4). 2 Let g(z) = z - 14. Give g(0). -14 Let d(s) = s**2 + 14*s + 5. Determine d(-12). -19 Let g(w) = w**3 + 10*w**2 + 4*w + 45. Determine g(-10). 5 Let r(i) = 6*i**3 + 5*i**2 + 8*i - 2. What is r(-3)? -143 Let v(l) = -l**3 - 15*l**2 - 16*l - 28. Determine v(-14). 0 Let u(s) = 9*s - 10. What is u(-6)? -64 Let z(k) = -k**2 - 2*k + 4. Determine z(-5). -11 Let i(h) = -2*h**3 + 10*h**2 + 10. Calculate i(5). 10 Let m(v) = -3*v + 32. Determine m(13). -7 Let a(j) = -j**2 - 17*j + 37. Determine a(-19). -1 Let n(a) = -10*a + 13. Calculate n(2). -7 Let f(r) = r**3 + 9*r**2 + 13*r - 6. Give f(-7). 1 Let k(s) = -s**3 + 8*s**2 - 9*s - 7. Give k(7). -21 Let n(a) = a**3 + 10*a**2 + 9*a + 9. Determine n(-9). 9 Let m(i) = -2*i**2 - 2*i + 2. What is m(4)? -38 Let t(f) = -f**3 - 17*f**2 + 39*f + 28. Give t(-19). 9 Let g(x) = -x**3 - x**2 + 3*x + 1. What is g(3)? -26 Let g(v) = -v**2 - 8*v + 2. Determine g(-9). -7 Let k(r) = 5*r - 24. Determine k(4). -4 Let d(x) = -x**2 + 2. Calculate d(-3). -7 Let o(w) = 2*w**3 + 32*w**2 - w + 13. Determine o(-16). 29 Let u(f) = -f**2 + f + 62. Determine u(8). 6 Let s(f) = 13*f + 101. Determine s(-8). -3 Let g(f) = f**2 + f - 5. Give g(-3). 1 Let y(k) = -k**2 - 4*k + 4. What is y(-4)? 4 Let v(l) = 57*l + 331. Give v(-6). -11 Let s(o) = -2*o**3 + 14*o**2 + 17*o - 7. What is s(8)? 1 Let t(l) = -l + 1. What is t(2)? -1 Let t(k) = -9*k**2 - 21*k - 20. What is t(-1)? -8 Let r(o) = 10*o + 99. Determine r(-10). -1 Let v(d) = 2*d**3 + 7*d**2 + 12*d + 64. Calculate v(-4). 0 Let q(p) = -19*p - 104. What is q(-4)? -28 Let w(f) = -f**3 + 4*f**2 - 3*f + 8. Determine w(4). -4 Let b(i) = -i**3 - 24*i**2 + 17*i + 8. Give b(-25). 208 Let s(g) = -g**3 - g**2 + g - 18. What is s(0)? -18 Let m(l) = l**2 + 12*l + 21. Give m(-11). 10 Let g(q) = q**2 + 11*q - 5. What is g(-10)? -15 Let t(z) = 2*z + 5. Calculate t(-8). -11 Let o(g) = -4*g**2 - 10*g - 1. Calculate o(-4). -25 Let c(g) = g**3 - 4*g**2 - 2*g + 6. What is c(5)? 21 Let r(t) = -t**2 - t + 10. What is r(3)? -2 Let k(d) = d**3 + 11*d**2 - 5*d + 4. Give k(-11). 59 Let m(v) = v**3 + 3*v**2 + 2*v + 3. Determine m(-2). 3 Let a(o) = o**3 + 12*o**2 + 8*o + 269. What is a(-13)? -4 Let s(k) = -k**3 - k**2 + k - 6. Determine s(0). -6 Let w(v) = v**3 - 8*v**2 - 11*v + 10. What is w(9)? -8 Let u(k) = k**2 + 2*k - 221. What is u(14)? 3 Let x(r) = -5*r**3 + r**2 - r. Determine x(1). -5 Let v(s) = 5*s + 2. Determine v(-8). -38 Let y(h) = 6*h**3 + 4*h**2 + 2*h. Determine y(-2). -36 Let k(t) = t**2 + 6*t - 16. Determine k(-8). 0 Let v(k) = 7*k - 21. Determine v(-2). -35 Let w(l) = l**2 - 8*l - 14. Calculate w(10). 6 Let z(h) = -3*h - 4. Give z(7). -25 Let y(z) = z**3 + 13*z**2 - 2*z - 16. Determine y(-13). 10 Let u(v) = -27*v - 247. Determine u(-9). -4 Let d(r) = -r**2 + 18*r - 6. What is d(11)? 71 Let r(l) = -l**2 + 14*l + 5. What is r(14)? 5 Let c(s) = 9*s - 42. What is c(9)? 39 Let m(p) = -8*p - 3. Calculate m(-9). 69 Let p(w) = w**3 - 2*w**2 - 8*w - 1. Calculate p(4). -1 Let p(a) = -a**3 - 15*a**2 - 28*a - 7. What is p(-13)? 19 Let d(n) = n**3 + 4*n**2 + 3*n + 1. Determine d(-3). 1 Let m(q) = -3*q**2 + 59*q - 46. Give m(19). -8 Let f(b) = -b**3 + 9*b**2 - 3*b - 15. Determine f(8). 25 Let d(w) = 38*w + 13. Give d(-5). -177 Let v(i) = -4*i**2 + 2*i - 3. Determine v(3). -33 Let a(c) = c**2 + 7*c - 10. Calculate a(-10). 20 Let t(k) = -2*k**3 + 7*k**2 + 3*k - 16. What is t(6)? -178 Let u(q) = 131*q - 1. Determine u(1). 130 Let x(p) = p**3 - 15*p**2 + 5*p + 22. Calculate x(15). 97 Let k(j) = j**2 - 6*j - 1. Give k(7). 6 Let p(b) = -b**2 + b - 5. Calculate p(2). -7 Let n(c) = -c**3 + 9*c**2 + c - 1. What is n(9)? 8 Let p(j) = -j**2 - 29*j - 23. Give p(-27). 31 Let o(z) = z**3 - 7*z**2 + 6*z - 10. What is o(6)? -10 Let o(r) = 8*r**3 - r**2 + 5*r - 3. Give o(1). 9 Let v(z) = -z**2 + 16*z - 6. What is v(18)? -42 Let m(v) = -6*v - 84. Calculate m(-17). 18 Let k(t) = t**3 + 12*t**2 + 14*t + 9. What is k(-11)? -24 Let w(j) = j**3 - 25*j**2 + 24*j - 34. Give w(24). -34 Let j(q) = q**2 + 12*q - 20. What is j(-14)? 8 Let h(w) = w - 22. Give h(12). -10 Let b(c) = -c**2 + 9*c - 6. Give b(7). 8 Let k(r) = -r + 16. Calculate k(6). 10 Let o(v) = v**3 - 5*v**2 + 2*v - 1. Give o(5). 9 Let h(w) = -w**3 - w**2 + 1. What is h(-2)? 5 Let i(v) = 6*v + 1. Calculate i(1). 7 Let h(d) = 2*d**2 + 55*d + 94. Give h(-26). 16 Let p(u) = -27*u. Determine p(1). -27 Let o(n) = -n**3 - 12*n**2 - 3*n - 13. Give o(-12). 23 Let p(q) = q**2 + 9*q - 20. Calculate p(8). 116 Let f(p) = -3*p + 10. What is f(2)? 4 Let q(k) = 2*k**3 - 3*k**2 - k + 3. Determine q(2). 5 Let h(b) = -b**2 + 6*b + 9. What is h(6)? 9 Let x(o) = 2*o**3 - 2*o**2 - o + 3. Determine x(2). 9 Let t(w) = -2*w**3 - 2*w**2 - 4*w - 3. What is t(-2)? 13 Let y(t) = t**3 + 13*t**2 + 27*t + 13. What is y(-11)? -42 Let k(m) = 16*m - 83. Calculate k(5). -3 Let r(z) = -57*z + 210. What is r(4)? -18 Let z(w) = w**3 - 3*w**2 + 4*w - 2. What is z(2)? 2 Let m(k) = k**3 + 10*k**2 - 9*k + 2. Calculate m(-11). -20 Let q(n) = -n**3 + 2*n + 1. What is q(-2)? 5 Let m(h) = -h**2 - 3*h. Determine m(-3). 0 Let g(h) = -h**3 + 6*h**2 + 3. Give g(6). 3 Let h(r) = r**2 - 3*r - 1. Determine h(3). -1 Let a(z) = -17*z - 2. Calculate a(-1). 15 Let r(l) = l**3 + 20*l**2 + 18*l - 15. What is r(-19)? 4 Let c(t) = 6*t + 127. Determine c(-12). 55 Let j(y) = -3*y**2 + 50*y - 20. Determine j(16). 12 Let s(o) = -2*o**2 - 5*o - 8. Calculate s(-5). -33 Let z(f) = f**2 - 20*f + 35. What is z(15)? -40 Let u(n) = 2*n**3 - n**2 + 2. Calculate u(1). 3 Let k(o) = -o**2 + 2*o + 73. What is k(10)? -7 Let y(p) = p**3 - 6*p**2 - 11*p - 1. Determine y(8). 39 Let b(p) = -p**3 + 12*p**2 - 15*p. Determine b(10). 50 Let z(i) = -i**2 + 5*i - 4. Give z(5). -4 Let b(w) = -4*w + 35. Give b(0). 35 Let q(v) = 11*v - 240. Calculate q(22). 2 Let h(t) = -t**3 - 9*t**2 + 7*t - 6. What is h(-10)? 24 Let r(c) = 29*c + 1. Determine r(1). 30 Let h(n) = -9*n. Give h(17). -153 Let x(s) = -3*s - 24. What is x(-11)? 9 Let z(m) = m**2 + 4*m - 14. Give z(-6). -2 Let j(z) = z + 20. Calculate j(-16). 4 Let r(c) = -20*c + 98. Determine r(5). -2 Let w(f) = -8*f**3 - f**2 + f - 1. Calculate w(1). -9 Let s(q) = q**2 + 10*q + 17. Calculate s(-8). 1 Let u(h) = 3*h**3 - 22*h**2 + 7*h - 20. Calculate u(7). -20 Let o(y) = y**2 + 3*y - 15. Determine o(-8). 25 Let u(p) = -p**3 - 10*p**2 - 12*p + 24. Calculate u(-8). -8 Let j(y) = 2*y + 35. Calculate j(-18). -1 Let h(i) = -3*i - 92. What is h(28)? -176 Let r(g) = 10*g + 43. Calculate r(-5). -7 Let s(g) = -40*g**2 - g. Determine s(-1). -39 Let i(d) = d**2 + 2*d - 7. Calculate i(-6). 17 Let s(x) = 10*x**2 + 72*x + 5. Give s(-7). -9 Let t(x) = 20*x - 164. Determine t(7). -24 Let o(y) = -7*y - 417. Determine o(-59). -4 Let s(o) = 15*o + 12. Give s(1). 27 Let g(v) = -10*v + 172. Calculate g(17). 2 Let t(r) = -r**3 - 4*r**2 + r - 1. Determine t(-4). -5 Let p(i) = -i**2 - 23*i - 110. Give p(-15). 10 Let z(q) = -q**2 + 12*q - 12. Give z(10). 8 Let y(a) = -a**2 - 8*a - 4. Give y(-7). 3 Let s(p) = -26*p - 160. Calculate s(-6). -4 Let z(h) = h**2 - 11*h + 13. Determine z(10). 3 Let t(c) = -160*c + 808. Calculate t(5). 8 Let u(y) = -2*y + 16. Determine u(9). -2 Let z(v) = 4*v + 31. Calculate z(-8). -1 Let a(h) = -131*h**3 + 3*h + 3. Calculate a(-1). 131 Let d(s) = 4*s + 20. Give d(-5). 0 Let g(u) = 16*u - 44. What is g(2)? -12 Let n(g) = g**2 - 10*g - 10. Calculate n(10). -10 Let p(f) = -60*f**3 + 2*f**2 + 2*f + 1. Calculate p(-1). 61 Let t(d) = d**2 + 6*d - 6. Give t(1). 1 Let s(l) = l**3 + 57*l**2 - 56*l + 111. Give s(-58). -5 Let b(l) = -l - 9. Determine b(-16). 7 Let k(l) = 13*l + 6. Calculate k(-2). -20 Let p(q) = -3*q + 52. Determine p(20). -8 Let t(b) = -b**3 - 10*b**2 - 11*b - 1. Calculate t(-8). -41 Let w(a) = -3*a - 13. Determine w(-6). 5 Let c(k) = -k**3 - 11*k**2 + 4*k + 9. Give c(-11). -35 Let d(y) = -6*y + 13. What is d(5)? -17 Let r(m) = -m**3 + 7*m**2 + 8*m + 7. Give r(8). 7 Let c(d) = -d + 6. Determine c(-7). 13 Let s(v) = -13*v. Determine s(3). -39 Let s(z) = -10*z - 2. Calculate s(-1). 8 Let u(r) = -r**2 - 4*r - 11. Calculate u(-2). -7 Let m(c) = c**3 - 6*c**2 + 6*c - 13. Give m(6). 23 Let w(k) = -k**2
{ "pile_set_name": "DM Mathematics" }
t d = 64 + -69. Which is the closest to x? (a) 3/2 (b) -0.14 (c) d b Let r = -2882 - -2882.6. Which is the nearest to -4? (a) -2 (b) 1 (c) r a Suppose -9*p = 3*h - 10*p - 1310, 4*p = -2*h + 850. Let i = h - 1306/3. Let s be 2/3*(-3)/(-14). What is the closest to i in s, -0.2, -1/6? -0.2 Let j be (-338)/(-5)*(-24 + 29). Let i = j + -333. Let c = 2.05 + -0.05. What is the nearest to i in 2/3, -5, c? c Let s be (-2)/((40/15)/(-4)) - 2. What is the nearest to -6 in s, -4, 0.1? -4 Let a = 139.061 + -139. Let d = 0.439 + a. Let v = 823/7 - 118. What is the nearest to -0.2 in d, 4, v? v Let m be (4824/300 - 4) + -12. What is the closest to 1/4 in m, -3/2, 0.2, -0.2? 0.2 Let j = -124/89 - -779/623. What is the closest to -3 in 16, -3, j, 3? -3 Let v = -8975 + 35899/4. Which is the closest to v? (a) 4 (b) 103 (c) -4 c Let h = 0.02 - 2.02. Let p = -0.407 + 41.407. What is the nearest to 0 in 3/7, p, h? 3/7 Let j be (-32)/20 - (0 + -2). Let k = 0.4 + -0.1. Let m = 4.81 - 5.31. Which is the closest to j? (a) k (b) -1 (c) m a Let o = 0.2941 + -0.1041. Which is the closest to -1/2? (a) 4/7 (b) o (c) -1/5 c Let h = -4585.06 + 4585. Which is the closest to -0.1? (a) h (b) -1/5 (c) 5 (d) -3/4 a Let f = 13707 - 68534/5. What is the closest to 0 in 1/11, -1/4, -2/1275, f? -2/1275 Let o = -656/741 + 54/247. Which is the nearest to -29? (a) -19 (b) -1 (c) o a Let d = -34 + 135/4. Let l = -466 - -549. Let z = l + -79. Which is the closest to -2/3? (a) -2/11 (b) d (c) z b Let v = 27.82 + 4.08. Let u = -32 + v. Which is the nearest to u? (a) -4 (b) -5/2 (c) 2/7 c Let l = -0.3 - -0.6. Let z = -1.527 - -0.527. What is the nearest to z in 2, 0.1, l? 0.1 Let m = -2965.763 - -2967. Let g = m + -1.337. Let q = -27 - -19. What is the closest to q in 2/3, -1, g? -1 Let v = 989.8 + -988.8. What is the closest to 9 in 4/3, -5, 4/5, v? 4/3 Suppose 73 = -p - 71. Let u = -149 - p. What is the nearest to 2/5 in u, 0.9, -2/7? 0.9 Let w = 0.1 + 2.9. Let t be (-4)/102*3 - (-33)/(31977/(-532)). Which is the nearest to t? (a) -0.3 (b) w (c) -2 a Let a = 19.4 - 58.4. Let w = -42 - a. What is the closest to 0 in -16, w, 0.5? 0.5 Let v = -0.024 + -1.976. Let y = -5.842 + 10.842. Which is the closest to 0.1? (a) v (b) y (c) -10 (d) 2 d Suppose -30*v - 9 - 51 = 0. What is the closest to -5/8 in -4/9, 3, 0.5, v? -4/9 Let r = -81 + 74. Which is the nearest to -4? (a) -9 (b) 2 (c) r (d) 1/2 c Let m = 3 + -3.22. Let a = 375.9648 - -0.0352. Let t = -376.4 + a. What is the closest to 1 in t, -1, m? m Suppose 0 = -290*u + 304*u - 28. What is the nearest to -2 in 3, 7/5, u, 1/5? 1/5 Let c = 264.02 - 263.02. What is the closest to -2 in 35.5, -2/9, 6, c? -2/9 Let o = -2.091 - 0.009. Let l = 66822.5 - 66823. Which is the closest to 0? (a) l (b) -0.2 (c) o b Suppose -2*s = -10, 0 = -5*n + 3*n + s + 173. What is the closest to 1/3 in -5, -3/8, n, 0.5? 0.5 Let q be 265/20034*-45 + (-4)/(-8). Suppose -m + 17 = 4*w, 0 = 5*m - 3*m - w + 2. Which is the closest to m? (a) -5 (b) q (c) -1/5 (d) 1 d Let j(m) = -5*m**2 - 4*m - 3. Let c be j(-1). Let h be 116/1015*5/2. What is the nearest to h in c, -3, 0.2, -5? 0.2 Suppose 3*h - 12 = 0, -12 = 106*r - 108*r - 3*h. Which is the closest to r? (a) 2 (b) -4 (c) 3/19 c Let m = 0.1092 - 111.1292. Let l = -111.99 + 0.99. Let i = m - l. Which is the nearest to -1? (a) i (b) 0.5 (c) 0.4 a Let v = -566 - -566.1. Let m = -30 - -30. Let t = 41 - 55. What is the closest to 0 in m, v, t? m Let k = 7110 - 7108. What is the nearest to 31 in -0.5, 1/4, k? k Let l = 0.3 + 0.2. Suppose t + 12*t + 19*t - 64 = 0. Let m = 3.961 + 0.039. Which is the nearest to -2? (a) m (b) t (c) l c Let f be 10/(-50) + -13 + 14. Which is the nearest to -1? (a) f (b) -54 (c) 2/15 c Let x be (-74)/(-185)*(-2)/3*3/2. What is the closest to 0 in x, 4, -52/9? x Let w = 11 + -7. Let k = -2/6965 - 6961/13930. Let v = -0.5 + 0. Which is the nearest to k? (a) v (b) w (c) -9 a Let b = 25 - 24.8. Let t = 12309 - 12313. What is the closest to b in 3, 5, t, -2? -2 Let k = -717.2 - -717.2. Which is the closest to 0? (a) k (b) -1/6 (c) 1/4 (d) -2/255 a Let s = 51/31 + -499/341. Which is the nearest to 0? (a) -4 (b) -5.1 (c) s c Suppose 21 = s + 4*c, 5*c - 20 = -2*s + 10. What is the closest to s in -0.9, -0.5, 2/15, -3/2? 2/15 Let n = -142 + 19. Let s = n - -117. Which is the closest to s? (a) -2/3 (b) -2 (c) -1 b Let h = 2068.8 + -2068.3. Which is the closest to 0? (a) h (b) 0.04 (c) 1.6 b Let u = 648 - 994. Let s = -348 - u. What is the closest to 0 in s, 3, 1/31? 1/31 Let w be (1 + 27/(-12))*96/(-24). Which is the nearest to 0.1? (a) w (b) 2/23 (c) -1/8 b Suppose 0 = -3*z - 5*h - 5 - 7, -2*z = -h - 5. Let i = 0.0066 + -356.0066. Let m = i - -357. Which is the nearest to m? (a) -0.5 (b) 15 (c) z c Let w = 170.198 - 170. Let z = 5.198 - w. Which is the closest to 0.1? (a) 4 (b) -4/3 (c) z b Let u = -11470 + 11470.2. Which is the nearest to 3? (a) -0.5 (b) u (c) 47 b Let u = -0.258 - -0.26. Let h = 4082 - 4082. Which is the closest to h? (a) u (b) -0.1 (c) 0.3 (d) 0 d Suppose -4*o - 71 = t - 98, -5*o - 5*t = -45. What is the closest to -0.1 in 0.1, -4, -12, o? 0.1 Let d(y) = -2*y + 88. Let i be d(-21). Let w be i/(-42) + 88/924. Which is the closest to -1/7? (a) w (b) -0.5 (c) -4 b Let p = 22.2 - 22. Let r be (-15)/(-40) + (-3)/12. What is the closest to 2/3 in 4, r, p? p Suppose 0 = 2*x + 5*s + 27 - 68, 5*x = 4*s + 86. Let k be (65/52 + -2)/(x/(-8)). What is the closest to -1/2 in k, -0.3, 0.112? -0.3 Let i be (-1)/(2/76)*(-165)/(-66). Let z = 103 + i. Suppose -4*m + z = -7*m + 2*d, 0 = -m - d - 6. Which is the closest to 1? (a) -0.03 (b) m (c) -5 a Let w = 0.14 - 0.24. Suppose -63 = -2*r - 51. Suppose 0 = -r*h - 15 - 9. Which is the closest to 1/2? (a) -8 (b) w (c) h b Let i be (-8)/(-42) - 2/6. Let l be ((-24675)/(-13160))/(135/12). What is the closest to -1 in -10, 1, l, i? i Let y = 0.9 - -2.1. Let a be (-1043)/(-447) + (-3)/(-6)*10/(-15). What is the closest to -2 in y, a, -31? a Let r be ((-8)/6 - -1)/(-1). Let f = 81 + -61. Let q = 20 - f. What is the closest to q in r, 6, -1? r Let o = 6601 - 33007/5. Which is the nearest to o? (a) 6 (b) -597 (c) 1 (d) 3/4 d Let h = -45 + 40. Let f = 129.5 - 98. Let k = 31 - f. Which is the closest to 0? (a) k (b) h (c) 3 a Suppose 19*h - 15*h = -12. Let k be (-1 - (-27)/15)/(2/10). Let g = -6 + k. Which is the closest to 1/3? (a) 3 (b) h (c) g c Let d(f) = -6*f - 25. Let q be d(-4). What is the closest to -2 in 0, -19, q, -2? -2 Let o = 1.84 - 5.84. Let z = -54/17 - -429/119. Which is the closest to 16? (a) z (b) 2/7 (c) o a Let h be ((-2)/10 + 1274/(-980))*-3. Which is the closest to 3? (a) h (b) 13 (c) 5 (d) -0.2 a Let p = -18884.8 + 18885. What is the nearest to p in -4, -1/3, 1/6, -5? 1/6 Suppose 0 - 3 = -3*i. Let q = 3707/3120 + 51/208. Let x = -11/6 + q. Which is the closest to -0.04? (a) x (b) 3 (c) i a Let q = 21.7 + -1.8. Let d = q - 21.9. What is the nearest to d in -4/3, 0, 0.3? -4/3 Suppose -t = -4*t + 6, 4*t = -5*j + 23. Let l = -352 + 349. Which is the closest to -0.3? (a) 1/8 (b) j (c) l a Let m = 58 - 52. Let x be -5 + 8 - m - (-119)/3. Let p = -37 + x. What is the closest to p in 3, -4, -5? 3 Let w = -2 + 3. Let r be 51319/(-190) + (-2)/5. Let v = r + 269. What is the nearest to w in 1, 1/5, v? 1 Let g = -5617.9 + 5618. Which is the nearest to g? (a) -2/13 (b) -0.2 (c) -55 a Let q(u) = u**3 - 14*u**2 + 22*u + 29. Let z be q(12). Which is the nearest to -6/23? (a) -0.4 (b) z (c) 2/13 a Let y = 3.586 + -3.486. What is the closest to y in -0.5, 2/13, -43? 2/13 Suppose 7*x = -2*k + 14, 2*x - 95 = 5*k - 247. Which is the nearest to 0? (a) 5 (b) -7 (c) k a Suppose 7*m - 23*m - 493 = -1565. Which is the closest to 0? (a) -2 (b) 1/7 (c) m (d) -3 b Let q = -1611 + 1610.5. Which is the closest to 1/2? (a) q (b) -1/4 (c) -3 (d) 0.5 d Let u = 468 + -443.1. Let l = u + -24.8. Let y be (3/(-18))/(1/(-3)). Which is the closest to l? (a) y (b) 2 (c) 0.06 c Let w = 4.55 - 4.35. Let y = 2/667 - -1985/5336. Let m = 0 - -0.02. Which is the nearest to w? (a) y (b) m (c) -4 a Let b = -1 - -6/5. Let j = 188 + -76. Let z = j - 110
{ "pile_set_name": "DM Mathematics" }
. What is the remainder when 13 is divided by b(-5)? 6 Calculate the remainder when 36 is divided by (-147)/(-12) + 21/28. 10 What is the remainder when (19/1)/(7 + -6) is divided by 11? 8 Let q = -224 + 300. Calculate the remainder when q is divided by 20. 16 Let a = 8 - 5. Suppose 0 = 4*c + 2*t - 86, c - 5*c - a*t = -87. Calculate the remainder when 41 is divided by c. 20 Let c = 7 + -7. Suppose o + 13 = -2*k, -3*o = -2*k - 0*k - 1. Calculate the remainder when ((-3)/o + c)*18 is divided by 10. 8 Let x(d) = 0*d**3 - 3*d**2 + 2*d + 0*d**3 + d**3 - 1. Let v be x(2). What is the remainder when v/(((-9)/(-75))/(-3)) is divided by 9? 7 Let m(j) = -4*j**3 - 1. Let l be m(-1). Suppose -2*s - 7 = -o, -l*o - 14 = -0*s + s. Let p = o + 10. Calculate the remainder when 12 is divided by p. 5 Let w(b) = b**2 + 2*b - 3. Suppose -2*m + 6*m = -16. Calculate the remainder when w(m) is divided by 3. 2 Let x = -11 + 13. Let g = 13 + -8. Suppose -g*b + x*b = -57. What is the remainder when b is divided by 7? 5 Let w = 3 - -5. Let n(q) = 3*q + 9. Let t be n(-3). Let y = w + t. Calculate the remainder when 22 is divided by y. 6 Suppose -3*o + 7 = -2*f - 34, -2*o + 28 = -2*f. What is the remainder when 25 is divided by o? 12 Let s = -27 + 19. Let y(t) = 2*t + 11. Let q(i) = i + 12. Let k(x) = 2*q(x) - 3*y(x). Calculate the remainder when k(s) is divided by 12. 11 Suppose a - 3 = -0. Let w be (3 + -2)/1 - -1. Suppose -135 = -w*t - a*t. Calculate the remainder when t is divided by 14. 13 Let z(n) be the first derivative of n**3/3 + 5*n**2/2 + 3. Calculate the remainder when 17 is divided by z(-6). 5 Let i(w) = -3*w + 58. Calculate the remainder when i(8) is divided by 6. 4 Let a(g) = -14*g**3 + g**2 - 1. Let t be (0/(1 - 2))/2. Suppose -3*y - y - 4 = t. Calculate the remainder when 41 is divided by a(y). 13 Let n(h) = h**2 - 11*h + 14. Suppose l = 5*l - 20. Let d = l - 2. Calculate the remainder when n(10) is divided by d. 1 Suppose s = 2*p - 3, 4*p - 3*s = 2*p + 1. Suppose -2*i = -5*i - 5*g - 4, -p*i = -5*g - 39. What is the remainder when 19 is divided by i? 5 Let w = -9 - -21. Let s = 57 + w. Let u = s + -47. What is the remainder when u is divided by 12? 10 Suppose -3*u - 159 = -3*r, -4*u + 35 = -2*r + 141. Calculate the remainder when r is divided by 14. 11 Suppose 5*l + 22 = -4*n + 86, l - n - 11 = 0. Calculate the remainder when 35 is divided by l. 11 Suppose -2*a = 3*a - 15. What is the remainder when 3 is divided by a? 0 Let c(j) = -5*j + 7. Calculate the remainder when 105 is divided by c(-4). 24 Let k(t) = -78*t**2 - 2*t - 3. Let g(y) = 157*y**2 + 4*y + 5. Let z(i) = 4*g(i) + 7*k(i). Calculate the remainder when z(1) is divided by 28. 27 Let m = -21 - -39. Let b(f) = f**3 + 10*f**2 + 7*f - 8. What is the remainder when m is divided by b(-9)? 8 Suppose 4*z = 50 + 10. Suppose -3*m = 4*r - 5 + 16, 0 = 3*m + z. Suppose -15 = -2*p - r. Calculate the remainder when p is divided by 3. 1 Let k(i) = -i**3 - 8*i**2 - 2*i - 10. Calculate the remainder when k(-9) is divided by 15. 14 Suppose -14 = 2*q - 44. Suppose -1 - q = -4*p. Suppose 3*u + 81 = 2*a, -a - 118 = -p*a + u. What is the remainder when a is divided by 14? 11 Let f = -105 - -156. What is the remainder when f is divided by 18? 15 Let a be (9/3)/((-12)/(-20)). Let l = 15 + a. What is the remainder when l is divided by 11? 9 Let q(s) = s**3 + 2*s**2 - s. Let i be q(1). Suppose -10 = -i*r + 4. What is the remainder when r is divided by ((-4)/(-4) - 5) + 7? 1 Let n = -15 + 0. Let m = n + 20. Calculate the remainder when 12 is divided by m. 2 Suppose 4*u + 80 = -2*w - u, 2*w + 64 = -u. What is the remainder when 28 is divided by (-4)/(-3)*w/(-4)? 8 Suppose 83 = -2*b + 251. Let f = b + -38. Calculate the remainder when f is divided by 12. 10 Let m(t) = -3 - 3*t + 9*t + 0. What is the remainder when 42 is divided by m(3)? 12 Suppose 3*s - 43 = 26. What is the remainder when s is divided by 8? 7 Let h = -1 - -17. Let u(w) = -w**3 + 6*w**2 + w + 1. Let n be u(5). Suppose 0*q - q + n = 0. Calculate the remainder when q is divided by h. 15 Let g(t) = -t**3 + 2*t**2 - 2*t - 3. Let a be 14/35 - (-3)/5. Suppose -5*y + 165 = -k, -14 = 3*k + a. Calculate the remainder when y is divided by g(-2). 15 Suppose 6*s - 28 - 170 = 0. What is the remainder when 131 is divided by s? 32 Let z(q) = 2*q + 14. Calculate the remainder when z(20) is divided by 22. 10 Let y(z) = z + 10. Let g be y(-8). Let o(u) = u**3 - u**2 + 2*u - 3. Suppose 0 = -0*j + 5*j - 45. What is the remainder when j is divided by o(g)? 4 Suppose 2*o - 3*r = 58, 3*o - 5*r - 20 = 68. What is the remainder when o is divided by (-2)/(-8) + 27/4? 5 Suppose 0 = 2*t - 32 - 48. What is the remainder when t is divided by 21? 19 Calculate the remainder when (5 + -2)/((-183)/(-87) + -2) is divided by 10. 9 Suppose 4*l - 4*m - 104 = 0, 2*l - 4*m = -0*l + 62. Let x = 19 + -11. What is the remainder when l is divided by x? 5 Let c(l) = 7*l - 24. Calculate the remainder when c(5) is divided by 4. 3 Let z = 1 - 1. Let d = 5 + z. What is the remainder when 7 is divided by d? 2 Let q(u) = u. Let a be q(8). Suppose 15 = 3*y - a*y, 0 = 2*n - y - 45. Calculate the remainder when 60 is divided by n. 18 Suppose 12 = -3*m + 6*m. Suppose -3*o + 30 = -0*o. What is the remainder when o is divided by m? 2 Let p = 45 - -23. Suppose 5*q = 5*b - 0*b - 170, -2*b - 5*q = -p. Suppose -3*g + b + 14 = 0. Calculate the remainder when 46 is divided by g. 14 Suppose j = 5*j - 8. Suppose -3*d - 42 = 3*p - 15, d - 3*p = 11. Calculate the remainder when 12 is divided by -14*(j/d + 0). 5 Let j be ((3 + -4)*0)/(-3). Suppose -3*k - o + 88 = -j*k, 4*k - 5*o - 92 = 0. What is the remainder when 55 is divided by k? 27 Let p be (-1 + 8)*(5 - 4). Suppose p = -3*n + 352. Suppose -n = -7*r + 2*r. What is the remainder when r is divided by 13? 10 Suppose 11*s - 126 = 8*s. Calculate the remainder when 165 is divided by s. 39 Suppose 3 = -0*w + w. What is the remainder when (-2)/6 + 148/w is divided by 24/(-16)*(-52)/6? 10 Suppose 4*v - v = 21. Suppose -4*w + 2*x + 1 = -v, -3*x = -5*w + 11. Calculate the remainder when 35 is divided by (1 - 2)/(w/(-18)). 17 Let a(g) = 3*g**2 - 2*g + 3. Let j(i) = -22*i + 1. Calculate the remainder when a(5) is divided by j(-1). 22 Suppose -2*c + 11 = 3*u - 6, 28 = 3*c + 5*u. What is the remainder when c is divided by 1? 0 Let j = -6 - -12. Let z = -106 + 51. Let m = z - -78. What is the remainder when m is divided by j? 5 Suppose -9*f + 10*f - 10 = 0. What is the remainder when 39 is divided by f? 9 Let t = 132 + -70. Calculate the remainder when t is divided by 16. 14 Suppose -3*d = -d - 4. Suppose d*r - 8 = -x, 5*r = -5*x + 12 + 48. Let t = -1 + 47. Calculate the remainder when t is divided by x. 14 Let y be (-225)/(-10)*(3 - -1). Suppose 0 = -5*j + 11*j - y. Suppose 3*q = 4*g + 152, 2*q = -2*g + 29 + 49. What is the remainder when q is divided by j? 14 Let s be (-3)/(9/6) + 16. Let p = 2 + s. Calculate the remainder when 28 is divided by p. 12 Let f(y) = y**2 - y + 2. Suppose -92 = -2*l - 10. What is the remainder when l is divided by f(4)? 13 Let c = 67 - -49. Suppose 0*q + 4*q = c. Calculate the remainder when q is divided by 8. 5 Let v be (3/(-2))/(2/4). Calculate the remainder when 1/((-12)/14 - -1) is divided by (2/v)/((-2)/9). 1 Let y = -8 - -10. Let o(s) = -2*s + 3 + y*s + s**2 + 3*s. Calculate the remainder when 13 is divided by o(-4). 6 Suppose -18 = -d + 3*p, d = -2*p - 3*p + 58. Calculate the remainder when d is divided by 17. 16 Suppose n - 4*o + 1 = 2, -2*n + o + 2 = 0. Let p be 16/4 + (n - 1). Suppose v + 6*g - 23 = p*g, -4*v + 108 = 4*g. What is the remainder when v is divided by 11? 9 Suppose -3*d = -4*u + 341, 314 + 116 = 5*u - 5*d. What is the remainder when u is divided by 17? 15 Let v = -9 + 12. Suppose -5*y + 1481 = -4*r + 197, -4*y = 2*r - 1022. Calculate the remainder when v/9 - y/(-6) is divided by 15. 13 Let g(n) be the third derivative of n**6/30 - n**5/30 + n**4/12 - 2*n**2. Calculate the remainder when g(2) is divided by 15. 13 Let l = 20 - 16. Calculate the remainder when 13 is divided by l. 1 Let y(w) = w**2 + 19*w + 68. What is the remainder when y(-17) is divided by 9? 7 Let p = 9 + -7. Suppose -4 - 2 = -p*a, -27 = -3*k - 2*a. What is the re
{ "pile_set_name": "DM Mathematics" }
is l*t(d) + 5*k(d)? 2*d - 2 Let o(v) = 14*v - 14. Let j(l) = -5*l + 5. Suppose 0 = -3*t - 7 - 11. Give t*o(i) - 17*j(i). i - 1 Let w(n) = 17*n + 5. Let p(l) = -9*l - 3. Determine 5*p(i) + 3*w(i). 6*i Let v(h) = -h**2. Let n(j) = 3*j**2. Let d = -2 - -31. Suppose -4*z + 36 = -4*r - 0*z, -r + 5*z - d = 0. Let s be (-2)/(5/(170/r)). Give s*v(p) + 6*n(p). p**2 Let l(k) = k**3 - k**2 + 5*k + 6. Let i(j) be the first derivative of -j**3/3 + 2*j**2 + 5*j + 5. What is 5*i(z) - 4*l(z)? -4*z**3 - z**2 + 1 Let v be 1/1*3*-1. Let r(i) = i**2 - 4*i + 1. Let o be r(3). Let p(t) = -4*t + 1. Let m(f) = 5*f - 1. Give o*m(q) + v*p(q). 2*q - 1 Let t(p) = -28 - 5*p - 31 + 54 - 11*p**2. Let x(g) = -17*g**2 - 8*g - 8. What is 8*t(j) - 5*x(j)? -3*j**2 Let b(l) = l**2 - 4 + 15 + 2*l**2 + l**3 - 3*l**3. Let u(f) be the second derivative of -f**5/20 + f**4/12 + 5*f**2/2 + 2*f. What is 3*b(r) - 7*u(r)? r**3 + 2*r**2 - 2 Let o(r) = 3*r + 15. Let u(l) = -l - 8. What is -3*o(d) - 7*u(d)? -2*d + 11 Let k(h) = -3*h**2 - 5*h + 3. Suppose 2*u = -0*u - 10. Let l(x) = -x + 2*x - 2*x**2 + 2 - 4*x + 0*x**2. Give u*l(c) + 3*k(c). c**2 - 1 Let n(r) = r - 5. Let l be n(-2). Let c(b) = -2*b**2 - 7*b - 3. Let m(i) = -4*i**2 - 13*i - 5. What is l*c(d) + 4*m(d)? -2*d**2 - 3*d + 1 Let z(h) = 0*h + 3*h + 3 - 3*h**2 + 2*h**2. Let y be 2/(-1) + (10 - 1). Let d(b) = 2*b**2 - 7*b - 7. Give y*z(w) + 3*d(w). -w**2 Let l(i) = -i + 1. Let n be l(5). Let j(v) = -v + 2. Let o(w) = -1 + 2 + 0*w + 1 - w. What is n*o(q) + 5*j(q)? -q + 2 Let z(f) = -6*f - 13. Let v(m) = -3*m - 7. Determine -7*v(d) + 4*z(d). -3*d - 3 Let i(p) = p. Let h(m) = m**3 - m**2 - 1. Let a(x) = 0*x**2 + 0 + 4*x - 2 + 3 + 4*x**2 - 3*x**3. Let v(g) = a(g) + 2*h(g). Give -4*i(c) + v(c). -c**3 + 2*c**2 - 1 Let d(i) = -5*i**3 + 4*i. Let g = 217 - 226. Let b be -4 - (3 - (-4)/(-2)). Let p = -1 - b. Let v(q) = -11*q**3 + 9*q. Determine g*d(k) + p*v(k). k**3 Let t(y) = -61*y - 6. Let v(b) = -184*b - 17. What is 17*t(a) - 6*v(a)? 67*a Let n = -1 + 0. Let j(i) = i - 4. Let l be j(5). Let c(k) = 0*k**2 + 4*k**2 - 5*k**2 + 0 - l. Let s(q) = 2*q**2. Give n*s(d) - c(d). -d**2 + 1 Let s(u) = u + 1. Let w(l) = 8*l - 7. Determine 6*s(m) - w(m). -2*m + 13 Let u = -1 - -7. Let w(v) = -2*v**2 + 4*v - 6. Let d(y) = 1. Determine u*d(q) + w(q). -2*q**2 + 4*q Let v(x) = x**3 + 3*x**2 + x + 6. Let p be v(-3). Let q(z) = z**2 + 2. Let c(i) = -i**2 - 3. What is p*c(l) + 5*q(l)? 2*l**2 + 1 Let j(k) be the first derivative of -k**2 - 6. Let p(v) = 3*v. Let x(y) = y**3 + 5*y**2 - 7*y - 4. Let f be x(-6). Suppose 0*n + f*n = -8. Give n*j(z) - 3*p(z). -z Let g(k) = 5*k**2 + 3*k + 5. Let c(d) = 4*d**2 + 2*d + 4. Let n(i) = -4*i - 8. Let w be n(-4). Let z = 5 - w. Determine z*g(q) + 4*c(q). q**2 - q + 1 Let j(y) = 8*y**2 - 2*y - 2. Let v = 13 - 14. Let o be v*(3 - (-3 - -7)). Let a(m) = -m**2. Calculate o*j(w) + 6*a(w). 2*w**2 - 2*w - 2 Let b(w) be the third derivative of w**6/24 - w**4/3 + 4*w**3/3 - 2*w**2. Let u(f) = 3*f**3 - 5*f + 5. What is -5*b(o) + 8*u(o)? -o**3 Let n(c) = -c**3 + c**2 + 1. Let t(f) = 9*f**3 + 4*f**2 + 7. What is 5*n(x) - t(x)? -14*x**3 + x**2 - 2 Let n(t) = -t + 14 - 30 + 17. Let d(p) = 4*p - 5. Determine -d(b) - 2*n(b). -2*b + 3 Suppose -3*s = -4*s - 1. Let k(o) = 2*o - 1. Let u(j) = -1. Determine s*k(y) + 2*u(y). -2*y - 1 Let a(k) = -k**3 + 2*k**2. Let g(m) = -2*m**3 + 3*m**2. Let l be -1*0/(0 - -2). Suppose -6*h + 2*h + 8 = l. What is h*g(z) - 3*a(z)? -z**3 Let w(f) = -f**3 - 7*f**2 + 2*f - 2. Let r(t) be the third derivative of -t**6/24 - 29*t**5/60 + 3*t**4/8 - 3*t**3/2 - 14*t**2. Determine 2*r(v) - 9*w(v). -v**3 + 5*v**2 Let n(s) = s - 12. Let w(b) = 3*b - 35. Calculate 17*n(i) - 6*w(i). -i + 6 Let t(q) = 1 + 2 + 6*q - 5 + 9*q**2 - 4. Let l(o) = 8*o**2 + 5*o - 5. Calculate 6*l(d) - 5*t(d). 3*d**2 Let p = 1 + 0. Let o(n) be the second derivative of n**2/2 + 32*n. Let r(z) = z - 1. Calculate p*r(s) + 2*o(s). s + 1 Let p(g) = -2*g - 9. Let f(x) = x + 4. Determine 14*f(l) + 6*p(l). 2*l + 2 Suppose 0 = -9*i + 8*i + 1. Let m be (2 - i)*(-6 - 1). Let w(l) = -2*l**2 + 1. Let v(n) = 6*n**2 - 3. Calculate m*w(h) - 2*v(h). 2*h**2 - 1 Suppose 0 = -2*r + 4*d, 10 = d + 4*d. Let y(x) = -r*x**2 + 2 + 14*x - 14*x. Let n(v) = 9*v**2 - 5. Calculate -2*n(c) - 5*y(c). 2*c**2 Let n(k) = -6*k**2 + 2. Let c(i) be the second derivative of -5*i**4/12 + i**2/2 - 6*i. Calculate -5*c(p) + 4*n(p). p**2 + 3 Let w be (-1)/((-6)/72*-4). Let z(b) = -2*b**3 + b - 3. Let d(m) = -2*m**3 - 2. Calculate w*d(s) + 2*z(s). 2*s**3 + 2*s Let m(u) = 4*u**3 - 4*u**2 + 6*u. Let o be 105/20*8/6. Let d(w) = 9*w**3 - 9*w**2 + 13*w. Determine o*m(j) - 3*d(j). j**3 - j**2 + 3*j Let j = 9 - 8. Let u(x) = -x**3 - x**2 - x + 1. Let i(c) = 2*c**3 + 6*c**2 + 6*c - 6. What is j*i(h) + 6*u(h)? -4*h**3 Let c(n) = n**2 - n + 2. Let r(f) = -2*f**2 + f - 4. Determine 5*c(m) + 2*r(m). m**2 - 3*m + 2 Let s(j) = -3*j - 2. Let d be (-258)/(-54) - (-4)/18. Let c(y) = 2*y + 1. Calculate d*s(i) + 8*c(i). i - 2 Let q(m) = m**2 - 1. Let o(y) be the third derivative of -y**6/120 - y**5/20 - y**4/24 + y**3/2 - y**2 + 4*y. Calculate -o(l) - 3*q(l). l**3 + l Let c(t) = t - 1. Let f(y) = -3*y + 3. Suppose -2*a = -4*a + 2. Let k = a + 2. Suppose 2*m - 55 = -k*m. Calculate m*c(j) + 4*f(j). -j + 1 Let q(v) = -v + 2. Let p(t) be the second derivative of t**3/6 - 3*t**2/2 - 13*t. Determine 5*p(j) + 6*q(j). -j - 3 Let x be 1 + (-6)/(1 - -1). Let a be 2*(-1)/x*5. Let y(k) = k**3 - 2*k**2 + 2*k. Let v(h) = -2*h**3 + 5*h**2 - 4*h. Calculate a*y(c) + 2*v(c). c**3 + 2*c Let n be (28/(-10) - -2)/(24/60). Let u(v) = -v**2. Let o(h) = 7*h**2. What is n*o(z) - 18*u(z)? 4*z**2 Let c(i) = i**2 - i. Suppose -5*j + 2*g = -82, -2*j + 2 = -3*j + 5*g. Let r = -13 + j. Suppose r = -b + 3. Let o(f) = 4*f**2 - 3*f. Determine b*o(v) + 6*c(v). -2*v**2 Let t(w) = 3*w + 2. Let b be t(0). Let c(d) = -d + 2. Let i(g) = -g - 5*g + 11 + 0. Give b*i(h) - 11*c(h). -h Suppose -4 - 2 = -3*c. Let k(t) = -t**2 + t. Let y(r) = 3*r**2 - 2*r. Determine c*k(a) + y(a). a**2 Let z(x) be the second derivative of x**5/20 + x**4/12 + x**3/3 + 2*x**2 - 7*x. Let q(w) = -w**3 - w**2 - w - 3. What is -4*q(s) - 3*z(s)? s**3 + s**2 - 2*s Let d(c) = 3 - 3*c**2 - c**2 + 4*c**3 + 7*c**2 - 3*c. Let f(k) = k**3 + k**2 - k + 1. What is -d(q) + 3*f(q)? -q**3 Let o(u) = 4*u**2 - 8*u + 1. Let q(a) = -3*a**2 + 7*a - 1. Suppose 2*s + 5*z = -3, 4*s - 27 = 2*s + 5*z. Calculate s*q(v) + 5*o(v). 2*v**2 + 2*v - 1 Let w(x) = 4*x + 14. Let u(y) = -8*y - 27. Calculate -3*u(n) - 5*w(n). 4*n + 11 Let o(j) = -6*j**2 + 25*j - 7. Let y(r) = -3*r**2 + 13*r - 3. Calculate -3*o(i) + 7*y(i). -3*i**2 + 16*i Let q(f) = f**2 - f. Let s(k) = 8*k**2 - 7*k - 6. Give 14*q(j) - 2*s(j). -2*j**2 + 12 Let h(f) = f**2 - 2*f - 2. Let r be (-35)/(-4) + 1/4. Let s(p) = -6*p + 3*p + 0*p + 5*p**2 - r - 6*p. Determine 9*h(z) - 2*s(z). -z**2 Let b(z) = 7*z + 8. Let c(k) = 6*k + 7. What is 4*b(q) - 5*c(q)? -2*q - 3 Let a(s) = -1. Let m(h) = 3*h. What is -2*a(f) - m(f)? -3*f + 2 Let d(c) = -c**2 + 1. Let h(v) be the first derivative of 2*v**3 + v**2 - 4*v + 43. Give -4*d(l) - h(l). -2*l**2 - 2*l Let u(w) = 3*w**2 - 2*w + 2. Let g(b) be the second derivative of -b**4/12 - b**3/6 + b**2/2 + 2*b. Determine -2*g(i) + u(i). 5*i**2 Let v(j) = -2545*j**3 - 11*j + 0*j + 2532*j**3. Let l(x) = -6*x**3 - 5*x. Give 9*l(q) - 4*v(q). -2*q**3 - q Let l(c) be the second derivative of 5*c**3/6 - 4*c**2 + 2*c. Let b(u) = -9*u + 15. Determine -6*b(w) - 11*l(w). -w - 2 Let w = -26 - -24. Let r(o) be the third derivative of o**4/12 + 5*o**3/6 - 2*o**2. Let c(d) = 2*d + 4. Calculate w*r(p) + 3*c(p). 2*p + 2 Let z(r) = -4*r**3 + 16*r**2 + 16. Let d(b) = b**3 - b**2 - 1. Give -16*d(n) - z(n). -12*n**3 Let t(i) = -6*i**2 - 3. Let x be 10 + -9 - (2 - 2). Let w(p) = -p**2 - 1. Determine x*t(q) - 3*w(q). -3*q**2 Suppose 8 = 3*c - 7. Let v(u) = 2*u - 5. Let z(s) = -7*s - 15. Let t(g) = 20*g + 42. Let d(n) = -6*t(n) - 17*z(n). Determine c*d(h) + 3*v(h). h Let m(f) = -13*f. Let j(z) = -1. Calculate 3*j(w) + m(w). -13*w - 3 Let x(b) = 8*b + 1. Suppose s = -2 - 3. Let z(y) = -7*y - 1. Let o(t) = -t**2 + 5*t. Let m be o(6). Give m*z(r) + s*x(r). 2*r + 1 Let t(p) = 8*p**3 - 9*p**2 - 6*p. Let k(n) = -n**3 + n**2 + n. Determine 6*k(h) + t(
{ "pile_set_name": "DM Mathematics" }
rms in 17*f**3 - 14*f**3 - 18*f**3 - 111*f**2 + 14*f**3 + 111*f**2. -f**3 Collect the terms in 1563674 - 1563674 - 8*x. -8*x Collect the terms in -9*p - 3*p + 56*p - 37*p. 7*p Collect the terms in -59310*u + 1764*u - 27458*u. -85004*u Collect the terms in 212 - 24 + 89 + 65 + 2*t. 2*t + 342 Collect the terms in 15*r**3 + 35*r + 35*r - 70*r - 26 + 26. 15*r**3 Collect the terms in -1 + 2161*x + 1 - 4055*x + 1896*x. 2*x Collect the terms in u + 0*u + 5*u - 5*u + 14*u. 15*u Collect the terms in 4434*l**3 - 76*l**2 + 76*l**2. 4434*l**3 Collect the terms in -38 + 20 - 4859*v**3 + 18. -4859*v**3 Collect the terms in 3*o + 14*o - 20*o + 21*o. 18*o Collect the terms in 314*t - 17 - 313*t + 20. t + 3 Collect the terms in -45*m**3 + 15*m**3 - 64*m + 13*m**2 + 11*m**3 + 20*m**3. m**3 + 13*m**2 - 64*m Collect the terms in -66*u**2 + 101*u**2 + 31*u**2. 66*u**2 Collect the terms in -678 - 681 - 675 + 3*d + 2043. 3*d + 9 Collect the terms in 589*h**3 - 359*h**3 - 229*h**3. h**3 Collect the terms in -12*o + 263*o + 11*o - 11*o. 251*o Collect the terms in -450*z - 456*z - 183*z + 251*z. -838*z Collect the terms in 626*n**2 - 8*n**3 + 624*n**2 - 1250*n**2. -8*n**3 Collect the terms in 58261 - 58261 - 33*j**2. -33*j**2 Collect the terms in -12 - 3117*l + 12 + 3094*l. -23*l Collect the terms in 56060*l + 56064*l + 56059*l - 168186*l. -3*l Collect the terms in -5*q**3 - 378 + 749 - 99*q**3 - 371. -104*q**3 Collect the terms in 1087*q + 0 + q**2 + 0 - 1089*q + 34*q**2. 35*q**2 - 2*q Collect the terms in -62*l - 2720 + 2720 + 185*l. 123*l Collect the terms in -3 - 1 + 0*c + 15*c + 4 - 20*c. -5*c Collect the terms in -58*u**2 - 8*u**3 + 56*u**2 + 25 + 5*u**3 - 9*u**3. -12*u**3 - 2*u**2 + 25 Collect the terms in -265*r + 462*r - 196*r. r Collect the terms in 9*f**3 + 258*f**2 - 11*f**3 - 221*f**2. -2*f**3 + 37*f**2 Collect the terms in 114*q**3 - 285*q**3 + 100*q**3. -71*q**3 Collect the terms in 23*c**2 + 285*c**3 - 833*c**3 - 23*c**2 + 277*c**3 + 266*c**3. -5*c**3 Collect the terms in 40*a + 32*a + 2*a**2 - 68 - 72*a. 2*a**2 - 68 Collect the terms in -3676*u**2 + 17*u**3 + 3676*u**2 - u**3. 16*u**3 Collect the terms in 3 - 4 + 0 + 7 + 161*c. 161*c + 6 Collect the terms in -264*n - 1 + 1085*n - 266*n - 276*n - 269*n. 10*n - 1 Collect the terms in 186404*y + 186399*y - 372842*y. -39*y Collect the terms in y + 88*y - 35*y - 23*y - 32*y. -y Collect the terms in -1138*h + 112*h**3 + 1138*h + 139*h**3. 251*h**3 Collect the terms in 0*p - 4*p + 4*p - 1 - 20 + 4*p. 4*p - 21 Collect the terms in -48137*w**2 + 144413*w**2 - 48141*w**2 - 48135*w**2 + 3*w**3. 3*w**3 Collect the terms in -9*i + 13*i + 3*i**2 + 7*i - 27*i. 3*i**2 - 16*i Collect the terms in 4190*s + 48*s + 9277*s. 13515*s Collect the terms in 1735107*n**3 - 867546*n**3 - 867543*n**3. 18*n**3 Collect the terms in 1 + 2 - 2 + 218 + 3*w - 219. 3*w Collect the terms in -4851*c - 10 + 2457*c + 2391*c. -3*c - 10 Collect the terms in -29 - 64*b + 4*b**2 - 13 + 63*b. 4*b**2 - b - 42 Collect the terms in -200*j + 470*j - 181*j + j**2. j**2 + 89*j Collect the terms in 3 - 7*t + 136*t - 164*t - 3. -35*t Collect the terms in 6*u**3 - 21 + 29 + 7*u**3 - 22*u**3 + 11*u**3. 2*u**3 + 8 Collect the terms in 20 + 21 + 8*h**2 + 0 + 69. 8*h**2 + 110 Collect the terms in -l**2 - 2*l**2 - 18*l + 10*l + 2*l. -3*l**2 - 6*l Collect the terms in -147512119*w + 147512119*w + 7*w**3. 7*w**3 Collect the terms in -36*z + 15*z + 39*z + 23*z. 41*z Collect the terms in 380*i**3 + 44*i**2 - 44*i**2 - 50*i**3. 330*i**3 Collect the terms in 4*g**2 + 15626 - 31188 - 3*g**2 + 15562. g**2 Collect the terms in 771887*l - 771887*l - 5*l**3. -5*l**3 Collect the terms in 15620076 - 2*n**2 - 15620076. -2*n**2 Collect the terms in -97*i**3 + 22*i**2 - 5*i**2 - 5*i**2 + 93*i**3 - 12*i**2. -4*i**3 Collect the terms in -719*t - 722*t - 727*t + 2168*t - t**3. -t**3 Collect the terms in 2552 - 6*u + 314*u - 2552. 308*u Collect the terms in 138*v + 144*v + v**2 - 59*v - 223*v. v**2 Collect the terms in 5 - 4*k**3 + 5 - 10 + 0*k**3. -4*k**3 Collect the terms in 4*j + 135*j**3 + 12143 - 4*j - 12143. 135*j**3 Collect the terms in 402 + 15 - 143 - 139 + 8*z - 135. 8*z Collect the terms in 10052*g**3 + 11472*g**3 + 6*g - 3*g - 2*g. 21524*g**3 + g Collect the terms in -7893 + 7893 + 73*f**2. 73*f**2 Collect the terms in -v**2 + 4522*v**3 - 4515*v**3 + 3*v**2 - 2*v**2. 7*v**3 Collect the terms in 1037*j**2 + 865*j - 865*j - 1028*j**2. 9*j**2 Collect the terms in -18860 + 7*f + f + 0*f + 18860. 8*f Collect the terms in -2*s**3 - 17 + 17 + s**3 + 5*s**3. 4*s**3 Collect the terms in -6*q - 264 + 521 + 6*q - 257 + q**2. q**2 Collect the terms in 280 - 91 - 96 + 61*a - 93. 61*a Collect the terms in 7 + 19 + 21 + 13*n - 11*n. 2*n + 47 Collect the terms in -2*n + 0*n - n + 181*n**3 + 465*n**3. 646*n**3 - 3*n Collect the terms in -4*l - 2*l**3 + 4*l + 10*l**2 + 12*l**2 - 3*l**2. -2*l**3 + 19*l**2 Collect the terms in -6749*n + 13497*n - 6750*n. -2*n Collect the terms in -433*u**2 - 25 - 2*u**3 + 25. -2*u**3 - 433*u**2 Collect the terms in 5780 - 11561 - 9*d + 5779. -9*d - 2 Collect the terms in -26*z + 114*z - 23*z + 143*z + 3*z. 211*z Collect the terms in 31*u - 18 - 23*u + 0*u + 110. 8*u + 92 Collect the terms in -475*y - 476*y + 1420*y - 467*y. 2*y Collect the terms in -26*b + 170*b - 19*b - 87*b - 22*b - 24*b. -8*b Collect the terms in -564 + 6*l**3 + 0*l - 5*l**3 + 0*l + 596. l**3 + 32 Collect the terms in 10301*w + 37 + 1153*w - 37. 11454*w Collect the terms in 190*n**2 - 263*n**2 + 25*n**2 + 34*n**2. -14*n**2 Collect the terms in -4 + 14 - 12481*p**3 + 12483*p**3. 2*p**3 + 10 Collect the terms in -3*z + 33 + 4*z - 29. z + 4 Collect the terms in -61*k + 2406 - 2406 - 8*k. -69*k Collect the terms in 223*b**3 + 782*b - 782*b. 223*b**3 Collect the terms in -58815*d + 58815*d - 14*d**3 - 7 + 7. -14*d**3 Collect the terms in 22777 + 22809 - 5*m**3 - 45586. -5*m**3 Collect the terms in -353*c + 716*c - 359*c. 4*c Collect the terms in -b**3 + 54155*b**2 + 3*b**3 - 54155*b**2. 2*b**3 Collect the terms in -82*k + 172 - 172 - 71*k. -153*k Collect the terms in 1664*j - 775*j**3 - 1664*j + 746*j**3. -29*j**3 Collect the terms in -36*r**2 + 8*r**2 + 76*r**2. 48*r**2 Collect the terms in 946*j**3 - 1889*j**3 + 945*j**3. 2*j**3 Collect the terms in 438*a**3 + 37*a**2 - 1310*a**3 + 437*a**3 + 433*a**3 + 7*a**2. -2*a**3 + 44*a**2 Collect the terms in 46*q**3 + 830*q - 830*q - 45*q**3. q**3 Collect the terms in -97023073 - 35*j + 97023073. -35*j Collect the terms in -2792832*m**2 + 2792832*m**2 - 11*m**3. -11*m**3 Collect the terms in -444*a + 1773*a - 438*a - 429*a - 435*a. 27*a Collect the terms in 7*q**3 - 866886 - 19*q**3 + 866887. -12*q**3 + 1 Collect the terms in 55*k**2 + 90*k**2 - 2*k - 339*k**2 - 157*k**2. -351*k**2 - 2*k Collect the terms in -136 + 14*y - 4*y - 9*y. y - 136 Collect the terms in -125 + 125 + 4494*i**3. 4494*i**3 Collect the terms in 150*v - 273*v - 11*v**2 + 123*v. -11*v**2 Collect the terms in -3206*d + 1589*d + 1615*d. -2*d Collect the terms in 402*b + 326*b**2 - 200*b**2 - 402*b. 126*b**2 Collect the terms in 334*h**2 + 705*h**2 + 57*h**2 - 199*h**2. 897*h**2 Collect the terms in 80395 - 6*i**3 - 160783 + 80388. -6*i**3 Collect the terms in -14 - 33*y + 0*y**3 + 14 - y**3. -y**3 - 33*y Collect the terms in 80*r + 47*r + 222*r - 21*r. 328*r Collect the terms in 2 - 110*o - 1818*o**2 + 110*o. -1818*o**2 + 2 Collect the terms in -1410 + 1408 - 55*v + 51*v. -4*v - 2 Collect the terms in 44*w - 194*w + 49*w + 49*w + 44*w. -8*w Collect the terms in -126 + 126 - 63*a**2 + 51*a**2. -12*a**2 Collect the terms in -253*i**3 + 964*i**3 - 202*i**3 + 598*i**3. 1107*i**3 Collect the terms in -3215*c**2 + 1516*c**2 + 1580*c**2. -119*c**2 Collect the terms in 156*n - 445*n + 134*n + 152*n. -3*n Collect the terms in 835*y**3 - 2*y + 926*y**3 - 2602*y**3 + 2*y + 829*y**3. -12*y**3 Collect the terms in -136 - 40*r**3 + 136 + 185*r**3. 145*r**3 Collect the terms in 2*g**2 + 934 - 1876 + 942. 2*g**2 Collect the terms in -2*o**3 - 155*o**3 + 419*o**3. 262*o**3 Collect the terms in 102658*w - 205321*w + 102666*w. 3*w Collect the terms in -353*l**3 - 347*l**3 + 1005*l**3 - 300*l**3. 5*l**3 Collect the terms in 2 + 0 - 2 + 2662*z**2. 2662*z**2 Collect the terms in -39*l + 22*l - 3*
{ "pile_set_name": "DM Mathematics" }
ue Does 174 divide 103497984? True Is 183 a factor of 291374979? True Is 20740032 a multiple of 72? True Is 58914817 a multiple of 2578? False Is 5669 a factor of 87126861? True Is 77533053 a multiple of 3? True Does 1803 divide 68189380? False Does 7 divide 30401717? False Is 3034 a factor of 567824400? False Is 387104468 a multiple of 34? False Is 573645223 a multiple of 617? False Is 1355855872 a multiple of 1024? True Is 190 a factor of 56853955? False Is 32286570 a multiple of 222? True Does 972 divide 396362160? True Is 19724403 a multiple of 2091? True Does 328 divide 11252696? True Does 1444 divide 2391414176? True Is 29002839 a multiple of 69? True Does 11 divide 104057338? True Is 268 a factor of 910284280? False Is 146545146 a multiple of 198? True Is 105535307 a multiple of 2633? False Does 4121 divide 148406756? False Does 3229 divide 1223007597? False Is 137407294 a multiple of 2414? True Is 25 a factor of 16788436? False Does 2 divide 66708769? False Is 2894 a factor of 3743853322? False Is 1184 a factor of 200498758? False Is 26 a factor of 632709762? False Is 94 a factor of 312153978? True Does 1038 divide 29843233? False Is 10 a factor of 486862910? True Does 11 divide 1091977902? False Is 35518960 a multiple of 1978? False Does 5214 divide 2005530742? False Is 5738 a factor of 50142419? False Does 13 divide 63022123? False Does 1452 divide 158461116? True Is 864058032 a multiple of 36? True Is 1051365187 a multiple of 53? True Does 599 divide 12010203? False Is 218208105 a multiple of 26? False Is 11 a factor of 392988790? False Is 26 a factor of 186264? True Is 4 a factor of 5164764? True Is 908415734 a multiple of 4283? True Is 5251 a factor of 342160411? True Is 4796 a factor of 4164031080? True Is 5135 a factor of 537655040? True Is 70741067 a multiple of 5? False Is 241023821 a multiple of 97? False Does 56 divide 143553195? False Does 142 divide 26284262? False Is 105847252 a multiple of 172? True Does 9 divide 100273509? True Is 384 a factor of 3457832103? False Is 731 a factor of 344820508? False Does 5 divide 2289105? True Is 1672 a factor of 3624301? False Does 294 divide 1266552? True Does 8 divide 1296928? True Is 36209989 a multiple of 294? False Does 14 divide 270254740? True Is 1379974740 a multiple of 20? True Is 46355325 a multiple of 25? True Is 42 a factor of 818118714? True Is 56 a factor of 105755608? True Is 12015108 a multiple of 84? True Is 1181034030 a multiple of 15? True Is 621426308 a multiple of 5663? False Does 19 divide 285580412? True Is 20 a factor of 148841375? False Does 392 divide 15996333? False Does 3629 divide 712403035? False Is 22235812 a multiple of 218? False Does 121 divide 9908206? True Is 965 a factor of 6938350? True Does 1847 divide 5518836? True Is 576897145 a multiple of 13805? True Is 12682435 a multiple of 3? False Is 1432 a factor of 11592994? False Is 2 a factor of 11231124? True Does 128 divide 231882496? True Is 893401 a multiple of 8? False Does 161 divide 18013988? False Is 304 a factor of 156229309? False Is 1013 a factor of 287220955? True Is 100772640 a multiple of 160? True Is 146 a factor of 532457182? True Does 2749 divide 233616320? False Is 814437209 a multiple of 58? False Is 2973797492 a multiple of 17? False Does 25 divide 345686500? True Is 110 a factor of 73835850? True Is 2547168974 a multiple of 302? False Does 967 divide 49150642? False Is 4777648391 a multiple of 8649? False Is 2637020714 a multiple of 8? False Does 23 divide 322021045? True Does 1994 divide 818546639? False Is 53438684 a multiple of 62? False Is 8 a factor of 13869776? True Is 18 a factor of 166266190? False Is 70 a factor of 19624357? False Is 2078011354 a multiple of 1858? True Is 294848000 a multiple of 200? True Is 2848 a factor of 560142018? False Is 647029920 a multiple of 16? True Is 250705773 a multiple of 6417? True Is 6 a factor of 1235034? True Is 1155121912 a multiple of 715? False Is 18 a factor of 4322735142? False Is 28 a factor of 5491867? False Is 393600402 a multiple of 60? False Is 20 a factor of 16988320? True Is 49764462 a multiple of 2803? True Is 10210040 a multiple of 3? False Does 30 divide 351652710? True Does 12 divide 11303157? False Is 248119542 a multiple of 1092? False Does 34 divide 83003724? True Is 138906159 a multiple of 21? True Is 83 a factor of 32812025? False Is 45 a factor of 183636501? False Is 12925418 a multiple of 2? True Is 15 a factor of 111862725? True Does 2391 divide 335007792? True Does 15 divide 761358801? False Is 233428662 a multiple of 529? False Is 66 a factor of 28876432? False Is 677593041 a multiple of 31? False Does 2 divide 31857547? False Is 49 a factor of 418859777? False Is 239 a factor of 92704037? True Does 73 divide 13407024? False Is 735846192 a multiple of 24? True Is 429600226 a multiple of 352? False Does 484 divide 600265512? True Is 11937402 a multiple of 5? False Is 68 a factor of 7529509? False Does 67 divide 7386348? True Does 387 divide 50047614? True Is 143 a factor of 950386294? True Is 39992456 a multiple of 110? False Does 5 divide 928436056? False Is 14 a factor of 153826467? False Is 27060045 a multiple of 361? False Does 61 divide 11919068? False Does 525 divide 100850945? False Is 184 a factor of 90380452? False Is 20 a factor of 5276907020? True Does 7 divide 247983563? False Does 9 divide 28677935? False Does 110 divide 13376000? True Does 17 divide 518602? True Is 33086984 a multiple of 210? False Is 22 a factor of 215688122? False Is 3457792026 a multiple of 117? True Does 823 divide 100540972? True Is 42104630 a multiple of 30? False Is 48614230 a multiple of 14? True Is 427 a factor of 14343021? False Is 86 a factor of 201986136? True Is 39081602 a multiple of 61? True Does 19 divide 71553251? False Does 1250 divide 264336934? False Does 113 divide 1033322624? True Does 2692 divide 57659888? False Is 24610980 a multiple of 346? True Is 242 a factor of 2972257286? False Is 26919560 a multiple of 2696? True Does 1164 divide 487080308? False Does 304 divide 24847440? True Does 12 divide 6794016? True Does 1329 divide 49130482? False Is 56150536 a multiple of 59? True Does 163 divide 144596648? True Is 62 a factor of 1189842? True Is 593 a factor of 799272885? False Is 41 a factor of 304938509? False Is 521036500 a multiple of 428? True Does 1621 divide 22057574? False Is 275572275 a multiple of 1353? True Does 60 divide 661998613? False Is 4104 a factor of 357093144? True Does 69 divide 80652927? True Is 193041872 a multiple of 602? False Is 596792415 a multiple of 4197? True Is 233 a factor of 44822210? True Is 1668647700 a multiple of 180? True Is 25 a factor of 475748000? True Does 1283 divide 9726297? False Is 2380 a factor of 10748775? False Does 1577 divide 11997816? True Is 9 a factor of 9223472? False Does 5 divide 400080686? False Does 5 divide 130841069? False Is 54 a factor of 6021702? True Does 42 divide 14141546? False Is 24218074 a multiple of 289? False Is 14242103 a multiple of 29? True Is 34 a factor of 64533700? True Is 173019361 a multiple of 622? False Is 90 a factor of 158121000? True Is 1656624106 a multiple of 86? True Does 187 divide 19801804? True Does 73 divide 1384964833? True Is 433 a factor of 83316588? False Is 2 a factor of 2715865? False Is 205 a factor of 47247170? True Does 186 divide 64292460? False Is 46110893 a multiple of 7? False Is 3372994371 a multiple of 7? False Does 47 divide 21880062? False Is 154354915 a multiple of 3245? True Is 10867352 a multiple of 13? False Is 11309298 a multiple of 78? True Is 13931525 a multiple of 35? False Is 518 a factor of 16462558? True Is 5683 a factor of 1008850988? False Is 77424620 a multiple of 1729? True Is 636 a factor of 199355? False Is 1503996 a multiple of 13? True Is 140637090 a multiple of 106? True Is 6745640 a multiple of 220? True Does 486 divide 1524398763? False Is 579076234 a multiple of 1591? False Is 48 a factor of 412184064? True Is 26367780 a multiple of 60? True Is 1201 a factor of 801559410? True Is 4 a factor of 855702464? True Is 3352230 a multiple of 153? True Is 66 a factor of 1900121984? False Is 61182869 a multiple of 83? True Is 15 a factor of 72076545? True Is 84945008 a multiple of 7352
{ "pile_set_name": "DM Mathematics" }
00 Let b = 0.684822 - 0.686. What is b rounded to 4 dps? -0.0012 Suppose -4*t + 4*u + 4 = 0, u = -u + 6. Suppose -12562622 + 115762622 = -t*m. Round m to the nearest 1000000. -26000000 Let f be 1/9 + 294/27. Suppose -7*y - 12820 = -f*y - 5*h, y - 2*h = 3192. Round y to the nearest one thousand. 3000 Let u = -429 + 429.0002058. What is u rounded to five dps? 0.00021 Let k = 13.00000602 - 13. What is k rounded to 7 decimal places? 0.000006 Suppose 64*y - 180 = 59*y. What is y rounded to the nearest one hundred? 0 Suppose 8*r = 4*r. Suppose r = -o - o. Suppose -t = -3*l + 6 - 174, 2*t + 6 = o. What is l rounded to the nearest 10? -60 Let b = 4 - 50. Let j = -46.068 - b. Round j to two dps. -0.07 Let j = 10210449 + -10210250.99769. Let n = 198 - j. What is n rounded to 4 dps? -0.0023 Let a(b) = 1772501*b**2 - b - 2. Let t be a(2). Round t to the nearest 1000000. 7000000 Let f = 0.239 + 300.861. Let x = 266 - f. What is x rounded to zero decimal places? -35 Let q(m) = m**3 + 7*m**2 + 2. Let l be q(-7). Suppose -2*y + 4 = -l. Suppose -2*z = y*z + 1250000. What is z rounded to the nearest one hundred thousand? -300000 Let v = 31 - 31.0000034. What is v rounded to five decimal places? 0 Let y = 145 + 28. What is y rounded to the nearest ten? 170 Let k(s) = 26*s**2 - 7*s - 65. Let o be k(-13). What is o rounded to the nearest one hundred? 4400 Let r = 1768.001021 - 1768. Round r to 4 dps. 0.001 Let n be 300*(-5)/(3*(-1)/125). Let l be n*(11/77 - (-173)/(-35)). What is l rounded to the nearest one million? 0 Let i = 27.960375 - -0.048825. Let f = -0.07 + 28.07. Let m = i - f. Round m to 3 dps. 0.009 Let d = -5760.8172 - -5758.31719816. Let s = d - -2.5. Round s to 7 decimal places. -0.0000018 Let s = -21 - -18.3. Let o = 17.7 + s. Let p = -14.999992 + o. Round p to five decimal places. 0.00001 Let g = -0.5739 - -0.573896249. Round g to seven dps. -0.0000038 Let u = -377 + 423. Round u to the nearest one hundred. 0 Suppose -3*r = -2*r + 5*c + 29, r + 4*c + 24 = 0. Let l be 102000 + ((-8)/r - 2). Round l to the nearest 10000. 100000 Let h = 68.745 + -68.8. What is h rounded to 3 dps? -0.055 Let m(l) = -l + 4 + 85*l**3 + 5*l**2 + 9*l**2 - 15*l**2 + 3*l**2. Let w be m(-4). What is w rounded to the nearest 1000? -5000 Let t = 34.12 - 35. Let a = 7449.1139 + -7450. Let i = a - t. What is i rounded to 3 decimal places? -0.006 Let o = -28327 - -60543. Suppose -c + 5*w = -150809 - o, c - 4*w = 183020. Round c to the nearest ten thousand. 180000 Let c = -45.5 - -65. Let p = -2.5 + c. Let a = p + -22.5. What is a rounded to 0 decimal places? -6 Let g be ((2 - 1) + -1)*17/34. Let b(k) = -k**2 + 447. Let d be b(0). Suppose -h + 5*l - 94 = g, -d = 5*h - 3*l + l. Round h to the nearest ten. -90 Let q = -2738 + 2738.0000005686. What is q rounded to seven decimal places? 0.0000006 Let l = -0.05 + 16.55. Let k = 7 + 14. Let n = k - l. Round n to 0 decimal places. 5 Let j = 66 + -123. Let o = 180 + j. Let y = -123.00051 + o. What is y rounded to 4 dps? -0.0005 Let z be 5480004 - (-12 + 0)/(-3). What is z rounded to the nearest one million? 5000000 Let v = 24914839971.29 - 25103372341. Let p = v - -188532279.70999839. Let r = p - -90. Round r to seven decimal places. -0.0000016 Let i = 3422 - 3421.99997867. Round i to six dps. 0.000021 Suppose 2*j + b + 0*b = 15, 0 = -5*j + 2*b + 24. Suppose -j*s = -7*s - 5. Round s to the nearest ten. -10 Let l = -10.10000273 - -10.1. What is l rounded to six dps? -0.000003 Suppose 144*q - 134*q = -1414000. What is q rounded to the nearest 100000? -100000 Let t = 65.000000222 - 65. Round t to 7 dps. 0.0000002 Suppose -f = 2*x - 83 + 20, -3*x + 97 = 4*f. Round x to the nearest one hundred. 0 Let v = -296971851 - -296971849.02265541. Let j = v - -34.97730919. Let o = j + -33. What is o rounded to six dps? -0.000035 Suppose 1260701 = -42*f - 12767299. Round f to the nearest 10000. -330000 Let l = 1672 - 459. Let q = 1767 - l. Round q to the nearest 100. 600 Let k = 0.7054 - 0.0573. What is k rounded to 2 dps? 0.65 Let m = 41813756 - 41813734.19999546. Let b = 21.8 - m. What is b rounded to 7 decimal places? -0.0000045 Let h = 702.77 - 706. Let p = h - -3.409. What is p rounded to 2 dps? 0.18 Let c = 0.4716 - 0.2442. Let o = -0.117 + c. Let g = o + -0.1. Round g to 3 decimal places. 0.01 Let m = 3.9 - 2.4. Let y = m + -1.4956. What is y rounded to three decimal places? 0.004 Let n = -8898 - -16807. Round n to the nearest 100. 7900 Suppose 0*q + q = -5, 3*q = 4*w - 2079. Suppose -274 = -p + l - 10, -l = 2*p - w. Round p to the nearest 100. 300 Let n = -0.01237 + -319.18963. Let i = n - -320. Round i to 2 decimal places. 0.8 Let j = 24.3 + 41.9. Let k = j + -56. Round k to zero dps. 10 Let y(t) = 832*t**3 - 8*t**2 - 2*t - 12. Let l be y(6). Round l to the nearest 10000. 180000 Let w be (-2)/((-3)/(-4) + 3025363/(-4033828)). Let g = w + 1734457. What is g rounded to the nearest one hundred thousand? 700000 Let h = 32.4 - 59.2. Round h to the nearest ten. -30 Suppose -5*n - 92 = -7. Let p = -15 - n. Suppose -5*i + p*m + 11504 = 0, -9196 = -5*i + i - 2*m. Round i to the nearest one thousand. 2000 Let f be (-1202550)/(-125) - (-2)/(-5). Round f to the nearest 100. 9600 Let n = -465.13 + -43.47. Round n to the nearest 10. -510 Let b = -1288 - -1286.7. Round b to the nearest integer. -1 Let v = 5.2 + 26.6. Round v to the nearest 10. 30 Suppose 5*l = -3*k - 10039430 - 64360567, 4*l + 4*k = -59519996. Round l to the nearest 1000000. -15000000 Let i = 992 - 991.482. What is i rounded to 2 dps? 0.52 Let g = -112454163.23753 - -112445439.3. Let f = 8724 + g. Let v = 0.063 - f. Round v to 4 decimal places. 0.0005 Let w = -0.083196 + 0.085. Round w to 4 dps. 0.0018 Let q = 27 - 106. Let b = 297 - q. What is b rounded to the nearest ten? 380 Let a = -8.07 - -8. Let o = -0.1 - a. Let n = -2.31 - o. Round n to 1 decimal place. -2.3 Let i = -38.54 + 0.54. Let l = -37.9999995 - i. Round l to six dps. 0.000001 Suppose -y = -179922 + 1366309. Let j be y - (-1 - 1)*-1. Let w = -2076389 - j. What is w rounded to the nearest one hundred thousand? -900000 Let v(b) = b**2 + 9748*b**3 + 23253*b**3 + 0*b**2. Let z be v(-1). Round z to the nearest 10000. -30000 Suppose -2*w - g - 16 = 0, 2*w + 2*w = -3*g - 36. Let o = w - -10. Suppose -5*p + 471 = -f - 234, -2748 = o*f + 4*p. Round f to the nearest 100. -700 Let s = 57 - 164. Let j = -107.047 - s. What is j rounded to 2 dps? -0.05 Let l = -6.9 + 7. Let i = 0.15 + -0.09. Let m = l + i. Round m to one decimal place. 0.2 Suppose -31 + 11 = -4*v. Suppose -2*q = -v*q. Suppose -4*l + 54400016 = 4*f, -2*l + q*l = -3*f - 27199988. Round l to the nearest 1000000. 14000000 Let z = 300741 - 300735.39988. Let l = z + -5.6. What is l rounded to 4 dps? 0.0001 Let o = -2605.9995658 - -2606. Round o to four decimal places. 0.0004 Let q = 27 - 19. Let z = -11.1 + q. Round z to the nearest integer. -3 Let p = -5.39297 - 20.61613. Let a = -26 - p. What is a rounded to 3 decimal places? 0.009 Let f = 404435.67 + -398622. Let u = f - 5879. Let r = u - -68. What is r rounded to one decimal place? 2.7 Suppose -d - d = -6012. Suppose -2*b = -3*z - 6026, z - 3*z + d = b. Suppose -4*o = 2*h + h + 6034, 0 = 2*o + 5*h + b. Round o to the nearest one hundred. -1500 Let r = -152.22 + 271.05. What is r rounded to the nearest ten? 120 Suppose 0 + 5 = j. Suppose 29274 = j*n + 99274. What is n rounded to the nearest ten thousand? -10000 Suppose 5*i + 5*s = 20, i - s = s + 4. Suppose -2*o - 3*l + 2*l + 999 = 0, 3*l + 2003 = i*o. What is o rounded to the nearest one thousand? 1000 Let f = 2620432.69 - 2632656. Let y = f - -12066. Let u = 158 + y. What is u rounded to 1 decimal place? 0.7 Let a = -2.32 + 2. Let n = a - -0.354. Let o = n - 0.04. What is o rounded to three decimal places? -0.006 Let z = -12.104 - -12.6. Let u = z - 0.4959639. Round u to six dps. 0.000036 Let x = -5508 + 5452.29. Round x to the nearest ten. -60 Let w = 769.97906 + -770. Round w to three decimal places. -0.021 Let a = 1767 + 13648. Round a to the nearest 1000. 15000 Let i = -29 + 4. Let p = i - -26.57. Round p to one dp. 1.6 Let p = 3.81 + -3.7265. Round p to two dps. 0.08 Let q = 537 - 536.9341. What is q rounded to 2 dps? 0.07 Let q = 3.1 + -157.1. Let w = 17260815724 - 1
{ "pile_set_name": "DM Mathematics" }
be 83/3 + 2/(-3). Let v = -8 + k. Suppose -28 - 22 = -5*d. Calculate the remainder when v is divided by d. 9 Let l(s) = -s**3 - 3*s**2 + 5*s + 5. Let j(n) = 10*n - 1. Let r be j(-2). Let d = 37 + r. What is the remainder when l(-5) is divided by d? 14 Let b = -6 + 91. Let q = 10 + 12. What is the remainder when b is divided by q? 19 Suppose 0 = d - 1 - 21. What is the remainder when d is divided by 12? 10 Let t = 28 - 22. Calculate the remainder when 35 is divided by t. 5 Let c = 4 + -2. Let o be 10/c*(2 - -1). Suppose -o = 3*i, -4*i = -3*k - 0*i + 38. Calculate the remainder when 17 is divided by k. 5 Let l be -1 + 0 + 0 - -2. What is the remainder when 11 is divided by (-4)/l*6/(-6)? 3 Suppose -3*t + 4 = -35. Suppose -4*n + 0*n + 200 = 0. What is the remainder when n is divided by t? 11 What is the remainder when 59 is divided by ((-96)/(-168))/((-2)/5)*-14? 19 Let x(h) = -h**3 - 5*h**2 - 4*h - 1. Calculate the remainder when x(-5) is divided by (0 - 4/16)*-28. 5 Let j = -5 + 45. Let p = -4 - -16. Suppose -3*h + p = -51. Calculate the remainder when j is divided by h. 19 Let c(p) = -p**3 + 6*p**2 + 8*p + 1. Let k be c(7). Suppose -115 = -k*v + 3*v. Calculate the remainder when 66 is divided by v. 20 Let z(r) = 6*r**2 + 11*r + 5. Calculate the remainder when z(-5) is divided by 26. 22 Let j = -7 + 18. Suppose 0 = h + 3*v - 8, 4*h - 49 - j = 2*v. Calculate the remainder when 55 is divided by h. 13 Let d(r) = 23*r - 3. Suppose 4*n - 3 = 1, -2*a - 2*n = 4. Let z be d(a). Calculate the remainder when (z/15)/(6/(-20)) is divided by 6. 4 What is the remainder when (1 - 0)/(1/23) is divided by (-6)/27 + 112/18? 5 Suppose -7*q + 2*q + g = -1, 5*q = -2*g + 13. Suppose -4*p + 79 = 5*l, 5*p + 0 = -l - q. Calculate the remainder when l is divided by 11. 8 Let j(o) = 13*o**3 - 2*o + 1. Let t be (-2 - 1 - -3) + 1. Calculate the remainder when 33 is divided by j(t). 9 Let g = 1 + -9. Let u(z) = z**2 - 3*z + 3. Calculate the remainder when (-12)/g*14 + -2 is divided by u(4). 5 Suppose 4*r - 213 = -0*r - 3*i, -2*r + 96 = -2*i. Let z = r + -32. Let c = 23 - 16. Calculate the remainder when z is divided by c. 5 Suppose 340 = -4*q - 24. Let v = q - -135. Calculate the remainder when v is divided by 15. 14 Suppose 0 = -5*h + 4*a + 77, -h + 0 = 5*a + 2. Let w(c) = -9*c - 3. Let b be w(-6). Let m = b + -27. Calculate the remainder when m is divided by h. 11 Suppose 144 = 4*s + 4*t, -3*s + 3*t + 120 = -0*t. Calculate the remainder when 185 is divided by s. 33 What is the remainder when 64 is divided by (2 + (-24)/9)*(-32 - 1)? 20 Let b(r) = 0*r**2 + 2 + 7*r**2 + 0 - 5*r**2 - 4*r. Calculate the remainder when b(-4) is divided by 13. 11 Let h(x) = -x**2 - 3*x + 4. Let u = 9 + 1. Calculate the remainder when u is divided by h(-3). 2 Let q = 1 - -43. Let t = 68 - q. Let r = -6 + 19. Calculate the remainder when t is divided by r. 11 Let s(n) = -1 - 2*n + 6*n - 3*n. Let x(m) = -4*m + 12. Let r(j) = -12*s(j) - x(j). What is the remainder when 46 is divided by r(-2)? 14 Let q(t) be the third derivative of t**5/60 - t**4/24 + 7*t**3/6 + 5*t**2. What is the remainder when q(-6) is divided by 17? 15 What is the remainder when 27 - (-4 + (3 - 2)) is divided by 8? 6 Let d(f) = f**2 - 4*f - 4. Let r be d(6). Suppose 0 + r = j. Let t(n) = n**3 - 9*n**2 + 10*n + 3. What is the remainder when t(j) is divided by 7? 5 What is the remainder when 32 is divided by (-37 - 2)/(-3) - (2 + -1)? 8 Let p(i) = -2*i**3 - 5*i**2 - 2*i + 2. What is the remainder when 48 is divided by p(-3)? 14 Let v(z) = 4*z**2 - z. Calculate the remainder when 77 is divided by v(-3). 38 Let p(a) = -2*a - 13. Calculate the remainder when 13 is divided by p(-8). 1 Let w(k) = -k**2 + 7*k + 1. Let m be 16 + (-1 - 5)/3. Let j be (-111)/(-21) - 4/m. What is the remainder when 20 is divided by w(j)? 9 Let l(k) = 10*k. What is the remainder when 19 is divided by l(1)? 9 Let r(a) be the second derivative of a**4/12 - a**3/2 - a**2 - 3*a. Calculate the remainder when r(5) is divided by 3. 2 Suppose -3 = -2*o + 7. Suppose -n = -3*x - x + 8, n = 0. What is the remainder when o is divided by 2/(4/(-3) + x)? 2 Suppose 4*h - 2*m - 126 = -40, 3*m = -4*h + 101. Suppose a - h = 2*f, -4*a + 2*a + 2*f + 36 = 0. What is the remainder when 23 is divided by a? 10 Let c(x) = -x**2 + 11*x + 4. What is the remainder when 52 is divided by c(10)? 10 Let j = -13 - -8. Suppose -p + 2 + 7 = 3*y, -4*y - 5*p + 23 = 0. What is the remainder when (6/j)/(4/(-10)) is divided by y? 1 Suppose 0*o = -o + 1, 3*o - 1 = h. Let f = 23 + -16. Suppose -f = -i - 5*c - 23, -3*c - 12 = 0. What is the remainder when i is divided by h? 0 Let x = 890 + -884. Suppose 3*g - 71 = -f, 0 = 3*g - 2*f - 89 + 24. What is the remainder when g is divided by x? 5 Suppose -10*p - 51 + 141 = 0. Calculate the remainder when 41 is divided by p. 5 Suppose -3*s + 4*s - 3*w - 1 = 0, -s - 2*w = -21. Suppose 2*j = -0*j + 8. What is the remainder when s is divided by j? 1 Suppose -3*p = -10 + 1. What is the remainder when 4 is divided by p? 1 Suppose j - 3*j + 8 = 0. Suppose -j*q - 17 = -161. Suppose 5*g - q = g. What is the remainder when 16 is divided by g? 7 Suppose 45 = 2*b - 2*q - 3, 0 = q + 4. Calculate the remainder when 56 is divided by b. 16 Suppose -4*t = t. Let z be 2 + (t - 2)/(-2). Suppose 0 = 5*r + 4*u - 23, -5 + 32 = z*r - 2*u. Calculate the remainder when 19 is divided by r. 5 Suppose -r = -16 + 1. Let d = -28 + 56. What is the remainder when d is divided by r? 13 Let s(n) = -n**2 + 7*n - 5. Suppose -3*q = 2*x - 15 + 1, 4*q - 12 = 4*x. What is the remainder when 13 is divided by s(q)? 6 Let s(d) = -d**3 - 4*d**2 + 4*d + 20. Calculate the remainder when s(-6) is divided by 12. 8 Suppose y + 2 = 0, 3*g + y - 13 = -0*y. Calculate the remainder when 2/(-4) - (-105)/6 is divided by g. 2 Let o = 19 - 6. What is the remainder when 47 is divided by o? 8 Suppose -2*n + 6 + 0 = 0. Let f be -3 - (n - (-1 - -2)). What is the remainder when 4 is divided by (-1 - f) + 0 + -1? 1 Suppose -390 = 7*o - 13*o. Calculate the remainder when o is divided by 23. 19 Let c(f) = 1 - 2*f**2 + 2*f + f**2 - 4 + 2*f**3. Calculate the remainder when c(2) is divided by 5. 3 Suppose -4 = 3*v - 5*v. Suppose -f = -v*f + 10. What is the remainder when f is divided by 3? 1 Let x = 11 + -8. Suppose -x*u + 7 = -53. Calculate the remainder when u is divided by 7. 6 Let z(s) = -s**3 + 6*s**2 - 4*s - 3. Let w be z(5). Suppose -w*i + i = 4*t - 59, -16 = -t + i. Calculate the remainder when 29 is divided by t. 14 Let v = 33 + -20. Suppose 3 = -2*x + v, -2*x = -5*d + 245. What is the remainder when d/4 - 2/(-8) is divided by 7? 6 Let i(m) = 7*m + 3. Let v(a) = a**2 - 4*a - 8. Calculate the remainder when i(5) is divided by v(7). 12 Suppose 2*t + 4 = -0. Calculate the remainder when (-5)/10 + (-5)/t is divided by 2. 0 Calculate the remainder when (-3 + 6 + -74)/(-2 - -1) is divided by 12. 11 Suppose -2*c - 4*j - 18 = 0, 3*c + 0*j + 26 = -5*j. Let s = c - -10. Suppose s*l + 7 - 70 = 0. What is the remainder when 62 is divided by l? 20 Let x(u) = u**3 - 9*u**2 - 10*u + 5. What is the remainder when 19 is divided by x(10)? 4 Suppose -2*a + 3*a = -3. Let d(u) = 3*u**2 + 5*u + 3. What is the remainder when 27 is divided by d(a)? 12 Let v(u) = -3*u + 2. Let z(c) = 3*c**3 - c. Let d be z(-1). What is the remainder when 15 is divided by v(d)? 7 Suppose 564 = 5*d + 69. What is the remainder when d is divided by 25? 24 Let g = -6 + 12. Let f(a) = a**3 - 11*a**2 + 12*a + 14. Let t be f(10). Let v = 51 - t. Calculate the remainder when v is divided by g. 5 What is the remainder when (3 + (-4)/2)/((-2)/(-76)) is divided by 21? 17 Suppose -4*q + 18 = 3*k, -2*k = -3*q - k + 20. Let d(l) = -l**3 + 4*l**2 + 6*l + 6. What is the remainder when d(5) is divided by q? 5 Suppose -3*o = -5*j - 52, 64 = -0*o + 5*o + 3*j. Calculate the remainder when 37 is divided by o. 9 Let d be (-2 - 0/2)*-2. Suppose -x + 2*u = d - 6, -x = 2*u - 6. Calculate the remainder when 5 is divided by x. 1 Suppose 0 = -i + 4*i - 48. Let h(f) = f**3 - 6*f**2 + f - 4. Let s be h(6). Suppose 2*t = -s*t + 36. What is the remainder when i is divided by t? 7 Suppose 3*r + i + 0 = 8, -4*r + 12 = i. Suppose r*x - 77 - 31 = 0. What is the remainder when x is divide
{ "pile_set_name": "DM Mathematics" }
divided by 2478? 2475 What is the remainder when 88602 is divided by 6884? 5994 Calculate the remainder when 308477 is divided by 2571. 2528 Calculate the remainder when 579506173 is divided by 2048. 2045 What is the remainder when 2083802 is divided by 1303? 305 Calculate the remainder when 6399321 is divided by 370. 171 Calculate the remainder when 831188 is divided by 831177. 11 Calculate the remainder when 491479 is divided by 3731. 2718 Calculate the remainder when 338510665 is divided by 33. 31 What is the remainder when 1829036 is divided by 7987? 13 What is the remainder when 14766091 is divided by 3691519? 15 What is the remainder when 20985252 is divided by 20985242? 10 Calculate the remainder when 8880 is divided by 1252. 116 What is the remainder when 3149122 is divided by 85111? 15 Calculate the remainder when 22356 is divided by 10352. 1652 Calculate the remainder when 21902 is divided by 522. 500 What is the remainder when 2700029 is divided by 21? 17 What is the remainder when 181268 is divided by 2160? 1988 Calculate the remainder when 37762469 is divided by 164. 157 Calculate the remainder when 7358965 is divided by 919869. 13 What is the remainder when 568775 is divided by 523? 274 What is the remainder when 143186 is divided by 800? 786 What is the remainder when 71884 is divided by 16757? 4856 What is the remainder when 399421125 is divided by 64579? 10 What is the remainder when 756845 is divided by 2259? 80 Calculate the remainder when 35945986 is divided by 11. 10 Calculate the remainder when 107987314 is divided by 58. 14 Calculate the remainder when 495188 is divided by 164809. 761 Calculate the remainder when 9704512 is divided by 13. 12 What is the remainder when 481253 is divided by 6590? 183 What is the remainder when 5893447 is divided by 1473355? 27 Calculate the remainder when 446339 is divided by 218. 93 Calculate the remainder when 507697 is divided by 126760. 657 Calculate the remainder when 687709 is divided by 22177. 222 What is the remainder when 19891 is divided by 1865? 1241 What is the remainder when 1088401 is divided by 6760? 41 Calculate the remainder when 161481 is divided by 417. 102 What is the remainder when 10222019 is divided by 927? 917 Calculate the remainder when 25306 is divided by 2523. 76 What is the remainder when 27430926 is divided by 1531? 1530 Calculate the remainder when 5867401 is divided by 1955767. 100 What is the remainder when 570138 is divided by 113668? 1798 What is the remainder when 29459496 is divided by 147? 108 What is the remainder when 12589695 is divided by 4196545? 60 Calculate the remainder when 266388 is divided by 19026. 24 What is the remainder when 30016 is divided by 7836? 6508 What is the remainder when 61323758 is divided by 85? 83 Calculate the remainder when 121050146 is divided by 690. 686 Calculate the remainder when 107961 is divided by 312. 9 What is the remainder when 8360448 is divided by 2677? 177 What is the remainder when 124016 is divided by 1051? 1049 Calculate the remainder when 4368 is divided by 270. 48 What is the remainder when 1524140 is divided by 35? 30 What is the remainder when 2529906 is divided by 316236? 18 Calculate the remainder when 45621904 is divided by 11405473. 12 Calculate the remainder when 4981621 is divided by 8817. 16 Calculate the remainder when 289280 is divided by 95642. 2354 What is the remainder when 1469304 is divided by 128? 120 Calculate the remainder when 1471021 is divided by 294021. 916 Calculate the remainder when 175272943 is divided by 2195. 2193 What is the remainder when 228702 is divided by 3323? 2738 Calculate the remainder when 16163 is divided by 1028. 743 Calculate the remainder when 82924819 is divided by 220. 219 What is the remainder when 7356309 is divided by 420? 9 Calculate the remainder when 564499 is divided by 115. 79 What is the remainder when 1928142 is divided by 752? 14 Calculate the remainder when 1357687 is divided by 3. 1 Calculate the remainder when 1143508800 is divided by 58. 56 Calculate the remainder when 6587091 is divided by 345. 6 What is the remainder when 30596 is divided by 10184? 44 Calculate the remainder when 917407 is divided by 5. 2 Calculate the remainder when 1012570 is divided by 586. 548 What is the remainder when 17190748 is divided by 5653? 5628 Calculate the remainder when 371658 is divided by 615. 198 Calculate the remainder when 488366 is divided by 6127. 4333 Calculate the remainder when 136229 is divided by 12378. 71 What is the remainder when 102470539 is divided by 12917? 12895 Calculate the remainder when 2791401 is divided by 1596. 1593 Calculate the remainder when 46131965 is divided by 2391. 11 Calculate the remainder when 7214030 is divided by 5667. 5606 Calculate the remainder when 15688696 is divided by 3922171. 12 What is the remainder when 314986037 is divided by 155? 152 Calculate the remainder when 6143663 is divided by 1534. 1527 What is the remainder when 1872988 is divided by 200? 188 What is the remainder when 78215184 is divided by 7? 5 Calculate the remainder when 64285 is divided by 1214. 1157 What is the remainder when 19326738 is divided by 492? 486 What is the remainder when 4738535 is divided by 792? 791 Calculate the remainder when 12389218 is divided by 53. 44 Calculate the remainder when 520302 is divided by 30606. 0 Calculate the remainder when 7253482 is divided by 307. 300 What is the remainder when 23237270 is divided by 82990? 70 What is the remainder when 40188 is divided by 5582? 1114 What is the remainder when 256063 is divided by 19598? 1289 What is the remainder when 75354 is divided by 25106? 36 Calculate the remainder when 127236 is divided by 318. 36 What is the remainder when 140374 is divided by 15583? 127 What is the remainder when 68521 is divided by 808? 649 What is the remainder when 12646 is divided by 4792? 3062 Calculate the remainder when 12198033 is divided by 31277. 3 What is the remainder when 35635354 is divided by 276243? 7 What is the remainder when 440715422 is divided by 25? 22 What is the remainder when 8288082 is divided by 39655? 187 Calculate the remainder when 23249 is divided by 332. 9 Calculate the remainder when 3447555 is divided by 137902. 5 Calculate the remainder when 450929 is divided by 23723. 192 What is the remainder when 55604 is divided by 287? 213 What is the remainder when 32479 is divided by 32206? 273 What is the remainder when 44378 is divided by 805? 103 Calculate the remainder when 396267 is divided by 605. 597 What is the remainder when 33718943 is divided by 150? 143 What is the remainder when 9882814 is divided by 352955? 74 Calculate the remainder when 205091 is divided by 6419. 6102 What is the remainder when 15632608 is divided by 1302717? 4 Calculate the remainder when 3024731 is divided by 85. 6 Calculate the remainder when 18829634 is divided by 2689947. 5 What is the remainder when 3369622 is divided by 76582? 14 What is the remainder when 51576 is divided by 1792? 1400 Calculate the remainder when 14542903 is divided by 3. 1 Calculate the remainder when 99004 is divided by 5139. 1363 What is the remainder when 990575 is divided by 216? 215 Calculate the remainder when 10567619 is divided by 21970. 49 Calculate the remainder when 31408724 is divided by 31408720. 4 What is the remainder when 494628 is divided by 5682? 294 Calculate the remainder when 1346934 is divided by 46. 8 What is the remainder when 315624 is divided by 931? 15 What is the remainder when 2169292 is divided by 57? 43 What is the remainder when 272876 is divided by 62? 14 What is the remainder when 21403233 is divided by 4267? 4228 Calculate the remainder when 302750 is divided by 4519. 4496 What is the remainder when 1553226 is divided by 13505? 151 Calculate the remainder when 597490 is divided by 177. 115 Calculate the remainder when 1846203 is divided by 230732. 347 Calculate the remainder when 7101 is divided by 972. 297 What is the remainder when 139726 is divided by 324? 82 What is the remainder when 13237622 is divided by 5? 2 Calculate the remainder when 1647492 is divided by 254. 48 Calculate the remainder when 173219 is divided by 21472. 1443 Calculate the remainder when 11513 is d
{ "pile_set_name": "DM Mathematics" }
*2 - 3 + 6 - 2 + l**3 to t + c*l + g*l**2 + k*l**3 and give k. 1 Express -r + 51*r**2 + 16*r - 48*r**2 in the form m + u*r + d*r**2 and give u. 15 Express (-2*z - 3*z + 4*z)*(0*z + 2*z - 4*z) - 7*z**2 - 51*z**2 - 4*z**2 + 4 - 2 + 3*z**2 + 0 in the form c + w*z + j*z**2 and give c. 2 Rearrange 22*x**3 - 829*x + x**2 + 2 + 829*x to t*x**3 + q*x**2 + k*x + b and give q. 1 Rearrange 7 - d - 5 + 9*d**3 + 0 to the form r*d**3 + z + b*d**2 + g*d and give r. 9 Rearrange (2*b + 19 - b - 6)*(2*b + 0*b - 3*b) to the form j*b + z + q*b**2 and give j. -13 Express (3 - 3 + t)*(3 - 3 - 2) + 0*t + t + 0*t + 0 + 0 + 2*t - 23 + 5*t + 23 as o*t + z and give o. 6 Rearrange (0*a + 0*a + a)*(-94*a + 46*a + 44*a) to p + w*a + s*a**2 and give s. -4 Express -4 + 6*u**3 + 2 + 3*u**4 - u - 5*u**3 in the form k*u**4 + g*u**2 + b + m*u + v*u**3 and give m. -1 Rearrange (-9*a + a + 3*a)*(2*a - 4*a + a)*(5 - 4 + 0) to the form y*a**2 + k + o*a and give y. 5 Rearrange 6 - 11*a**3 + a**3 + 8*a**3 - 5 + 22*a to the form b*a**2 + s + o*a + y*a**3 and give b. 0 Rearrange (-3 + 0 + 5)*(230 - 13*p**3 - 230) to the form q*p + w + x*p**2 + l*p**3 and give l. -26 Express 7*s + 5 - 3 - 2 in the form c + t*s and give t. 7 Express 21*t**2 + 2*t - 13 - 40*t**2 - 14 + 21*t**2 as w*t**2 + a + u*t and give a. -27 Express (w - 2 + 2)*(4*w**3 + w**3 - 4*w**3)*(132 - 62 + 9) as i*w**3 + s*w + n*w**2 + r + a*w**4 and give a. 79 Express -8*d**3 + 2 + 31*d**3 - 28*d - 13*d**3 - 12*d**3 as c*d**2 + z*d + b*d**3 + p and give z. -28 Express (-1 + 6 + 3)*((-3*l + 3*l - 2*l)*(-3 + 4 + 0) + l + 0*l + 3*l) as x + s*l and give s. 16 Rearrange (-z + 3*z**3 + z)*(-1 + 2 - 3)*(58 - 7*z - 58) to l*z**2 + c*z**4 + o*z + s*z**3 + f and give c. 42 Express (2*w**3 + 0 + 0)*(1 + w - 1) - 3*w + 3*w + 3*w**4 - 2*w**4 + 8 - 1 - w**3 + w**4 as f*w**4 + d*w + l + j*w**2 + b*w**3 and give f. 4 Express (-3*o - 2*o + 3*o + (3*o + o - 3*o)*(-20 - 8 - 1))*(o - o**3 - o) in the form x*o**4 + d*o**3 + z*o**2 + g*o + r and give x. 31 Rearrange 3*f + 0*f - 15 - 14*f**2 + 10*f**2 - 4*f to the form g + h*f + q*f**2 and give h. -1 Express (-2*k**3 - 3*k**3 + 2 + 17*k**3)*(k - 5*k + 0*k) as c*k + h*k**4 + j*k**2 + u + n*k**3 and give h. -48 Rearrange -15*y - 16*y**2 - 19*y**2 + 59*y**2 - 23*y**2 to x + w*y + g*y**2 and give g. 1 Express -7*x + 0*x + 7*x + 38*x**2 as c*x + r*x**2 + d and give r. 38 Express -8 + 5 + 3 + 33*q in the form s + a*q and give a. 33 Express (2*s + 0*s + 0*s)*(5 + 2 - 4) + 0 + 0 - 5*s as t + b*s and give b. 1 Express 9*x + 2*x - 11*x + x**2 - x - 2 as s*x + g*x**2 + j and give j. -2 Rearrange -10*x**4 + 2 + 0*x**4 + x + 3*x**4 to b + w*x + d*x**2 + k*x**3 + o*x**4 and give o. -7 Rearrange 2*z**2 - 111*z**4 - 3 - 109*z**4 + 1 + z + 213*z**4 to the form h + i*z**2 + p*z**4 + v*z + n*z**3 and give i. 2 Express (-4*u**2 + 11*u**2 - 4*u**2 + (-3*u + 2*u + 2*u)*(u - 2*u - u))*(u - u - u**2 - 1) in the form j*u**4 + q*u**3 + k*u**2 + z*u + b and give k. -1 Express 2*x**3 - x**3 + x**3 + (0 + 2*x + 0)*(3*x**2 + x**2 - x**2) + (-x - 3*x + x)*(0*x**2 + 3*x**2 - 4*x**2) as u + i*x + z*x**2 + l*x**3 and give l. 11 Express (6 - 4 + 2)*(-4*i + 4*i + 2*i + (-2 + 5 - 5)*(-i - 4 + 4)) + 2*i - 3*i - i as b + t*i and give t. 14 Express (-f + 2*f + 16*f)*(-f + 5*f - 3*f) in the form a*f + g + y*f**2 and give y. 17 Express (2*s - 4*s - 2 + 3)*(3*s - s - 3*s)*(s - 8*s + 0*s) in the form w + u*s**3 + q*s**2 + x*s and give q. 7 Rearrange 0*a**4 - 8*a**3 + 2*a**2 - a**2 - 2*a + 2 + 9*a**3 + 2*a**4 to m + n*a**3 + p*a**4 + q*a + t*a**2 and give p. 2 Express 3*n**3 + 2*n**2 + 7*n**3 - 3*n**3 - 4*n**3 - 1 + n as j*n + s*n**3 + r + i*n**2 and give j. 1 Express 1 + 6*l**3 - 3*l**3 + l + 14*l**3 + l**3 in the form g + o*l + f*l**3 + n*l**2 and give f. 18 Express 2*m - 2*m - 3*m**2 + (-8*m - 8*m + 12*m)*(0*m + 2*m + 0*m) in the form a*m**2 + y*m + n and give a. -11 Rearrange -39 - j + j**3 + 37 + 2*j**3 to g*j**2 + p*j + k + o*j**3 and give o. 3 Rearrange 2 + 3*z**4 + 2*z - 3*z**4 + z**4 + 0*z**4 to u*z**4 + v*z**2 + b*z**3 + w*z + s and give w. 2 Rearrange -4*i**4 + i**4 + 2*i**4 + (i**2 - 3*i**2 + 0*i**2)*(-12*i**2 - 11*i + 11*i) to the form r*i**2 + m + h*i + z*i**3 + d*i**4 and give m. 0 Rearrange -62*i**2 - 13*i**2 - 16*i**2 - 1 + 2*i to the form d*i**2 + s + j*i and give s. -1 Rearrange (-4 + 2 - 6)*(2 - 20*m + 2*m + 0*m) to the form p*m + y and give p. 144 Express 3*s + 4 - 4 + (2 + 4 - 4)*(-2*s + 3*s - 2*s) + 3*s - 2 + 2 as i*s + k and give i. 4 Express -2 + 26*f + 3 - 26*f - 2*f**2 in the form o*f + k + j*f**2 and give j. -2 Rearrange -m - 5*m**2 + 2 + 4*m**4 + 4*m**2 - m**4 to h*m**4 + n + w*m + f*m**3 + y*m**2 and give h. 3 Express -44*z**2 + 44*z**2 - 3*z**3 - 7*z in the form l*z + y + d*z**2 + f*z**3 and give l. -7 Express 106 - 3*d**2 - d + 2*d**2 - 106 as y*d**2 + r + j*d and give y. -1 Rearrange 0*a**3 + 0*a**3 + a**3 + (-5*a + 7*a - 11*a)*(-5*a**2 + 4*a**2 - a**2) to the form t + b*a**3 + x*a**2 + d*a and give b. 19 Rearrange (0 + 2 - 1)*(2*k + k - 2*k + (4 - 2 - 1)*(0*k + 3*k - k) - 3*k - 3*k + 0*k) to the form x + w*k and give x. 0 Rearrange -4*a + 9*a**2 - 8*a**2 + 8*a**3 - a to the form t + g*a + m*a**2 + u*a**3 and give m. 1 Rearrange 2 - 20*l + l**2 + 18*l**4 + 46*l - 27*l to the form o*l**4 + j*l**2 + g*l + f + i*l**3 and give o. 18 Express (2*c - 2*c - c**2)*(-3*c - 2*c + 0*c)*(0 + 1 + 9) in the form t + x*c**3 + q*c + y*c**2 and give x. 50 Rearrange 29*h + 4 - 27*h - 1 - 14*h**2 to the form z*h + u*h**2 + q and give u. -14 Express 3*i + 74*i - 8*i + 18*i as a*i + p and give a. 87 Express (1 + 2*p - 1)*(3 + 2 - 6) + 4*p - 4*p - 2 + p in the form k*p + x and give k. -1 Express 2*x**2 - x**2 + 45*x**3 - 5*x**2 + 2*x**2 as m*x**2 + a + u*x + h*x**3 and give h. 45 Rearrange 45*f + 31*f - 18*f to a*f + i and give a. 58 Rearrange 3*d + 4*d - 7*d - 1 + 4*d**2 to y*d + x*d**2 + p and give p. -1 Rearrange 171 - 171 - 29*u**2 to the form y*u**2 + l + h*u and give h. 0 Express (3*g + 15 - 15)*(-g**2 - g**2 + 4*g**2) in the form h*g**2 + k + u*g + x*g**3 and give k. 0 Express -77*n - 22*n - 21*n - 3*n as k*n + l and give l. 0 Rearrange (2*j + 4*j - 2*j + (4 - 3 + 0)*(-2 + 2 - 2*j))*(9 - 2 + 3) to v*j + o and give v. 20 Express (-2*j**2 - 3*j**2 + 2*j**2)*(102*j - 3*j + 59*j) as i*j**3 + h + k*j + o*j**2 and give i. -474 Rearrange -4*k**3 + 3*k**4 + 4*k**3 + (-2*k**3 + 0*k**3 + 0*k**3)*(1 + k - 1) - 2*k**4 + 2*k**4 + 2*k**4 to v*k**3 + p*k**2 + j*k + l*k**4 + q and give l. 3 Express (-2 + t + 1 - 2*t)*(-66*t + 80*t + 61*t) as d + v*t**2 + h*t and give h. -75 Express (-2 + 34*k + 7*k + k)*(-2*k**2 + 2*k**2 + 2*k**2) in the form s + l*k**2 + v*k**3 + j*k and give v. 84 Rearrange (2 - 2 - 1)*(-27*b**2 - 61*b**2 + 23*b**2 - 17*b**2) to the form l*b + p*b**2 + h and give p. 82 Express -q + 29 + 0*q - q + q as h*q + k and give k. 29 Rearrange (-5*i + 5*i**2 + 5*i)*(31*i - 31*i - 4*i**2) to the form p*i + z*i**3 + x*i**4 + f*i**2 + o and give x. -20 Express 48*k**2 + 67*k**2 + 6 - 4 + 3*k**2 as s*k**2 + p + u*k and give p. 2 Express 10*k - k**2 - 10*k + 53*k**2 in the form n*k + v + w*k**2 and give w. 52 Express 239 + b**3 + 0*b**2 - 247 + 2*b**2 as d*b**2 + l*b + t + o*b**3 and give d. 2 Express -15*w**2 + 15*w**2 - 2*w**3 + 7 + 4*w**3 in the form i + r*w + o*w**3 + g*w**2 and give i. 7 Rearrange (-2*q**2 + 0*q + 0*q)*(17 - 18 + 16) + (1 - 1 - q)*(-q - 3*q + 3*q) to y + g*q + s*q**2 and give s. -29 Rearrange ((-y - 4 + 4)*(-2 - 2*y + 2) + 127 - 62*y**2 - 127)*(2*y**2 - 4*y**2 + 0*y**2) to the form n + h*y**2 + c*y**4 + k*y**3 + t*y and give c. 120 Express -52*o - 6*o**2 + 50*o + 3*o**2 as y + z*o + g*o**2 and give z. -2 Express (0 + 0 - 2*t)*((-t + 2*t - 2*t)*(6 - 4 - 3) + (-4*t + 2*t + 5*t)*(-3 + 3 + 2)) in the form d*t**2 + i*t + u and give i. 0 Express (-5*r**4 + r**4 + 5*r**4)*(-4 + 3 + 7 + (-2 + 0 + 1)*(-3 - 1 + 3)) as o*r**2 + w*r**3 + g*r**4 + z + q*r and give g. 7 Express -4 + 10*w + 1 + 2 - 8*w**3 - 8*w in the form m + v*w**3 + u*w + s*w**2 and give u. 2 Rearrange (-7*k + 4*k + 2*k)*(2 - 3 - 3 + (-3 + 3 - 1)*(2 - 2 - 2) - 2 - 1 + 2) to h + m*k and give m. 3 Rearrange 4 - 4 + 3*n + 8*n to the form c*n + o and give c. 11 Express 29 + 3*r**2 - 10 - 10 - 5 as c*r + i + m*r**2 and give m. 3 Rearrange -133*q**3 + 3*q**4 + 12
{ "pile_set_name": "DM Mathematics" }
1 (e) 1/32 (f) -0.2 d Which is the third smallest value? (a) -2.13 (b) 2/27 (c) 0.5 (d) -3 b Which is the biggest value? (a) 463 (b) -3 (c) 2/3 a Which is the third smallest value? (a) -1/2 (b) 0.4 (c) -0.09 (d) 2 (e) -0.42 c What is the third biggest value in -4, 2/5, -11, -7, -0.5, -2/5? -0.5 Which is the smallest value? (a) -2.1 (b) -2 (c) 4/55 (d) 3 a What is the biggest value in 0.7, 1/6, 4, 0? 4 Which is the biggest value? (a) 4 (b) -2701 (c) -5 a Which is the third biggest value? (a) 0.3 (b) -1313 (c) -37 (d) -1/8 c Which is the biggest value? (a) -1 (b) -2 (c) 2/29 (d) -71 (e) -3/8 (f) -0.4 c What is the fourth smallest value in -0.4, 0.5, 0.4, 555, 44? 44 What is the smallest value in 2/95, -0.027, 6/5? -0.027 What is the second smallest value in 187, 5, 2? 5 Which is the third biggest value? (a) 5 (b) -2 (c) -5 (d) 106 (e) 1 e Which is the third smallest value? (a) -4 (b) 0.19 (c) 0.02 (d) -5/4 (e) -3 (f) -2 f Which is the biggest value? (a) -43 (b) 5 (c) -3/16 b What is the third smallest value in -347, -2, 93/2? 93/2 Which is the fifth biggest value? (a) -2/19 (b) 14/197 (c) -14/9 (d) 5 (e) 0.3 c Which is the fourth biggest value? (a) 19/3 (b) -2/21 (c) 1 (d) 1/8 (e) -25 (f) -2 b Which is the fourth biggest value? (a) 0.3 (b) 101 (c) -0.5 (d) -813/2 d Which is the fifth biggest value? (a) -92 (b) 5 (c) 2/115 (d) -62 (e) -0.1 a Which is the fourth biggest value? (a) -2 (b) 0.6 (c) 6 (d) 5 (e) 0.197 (f) -0.07 e What is the third smallest value in 2/63, 0.1, 6, 4, -18/23, -0.5? 2/63 Which is the second smallest value? (a) -3/8 (b) 2 (c) 0 (d) -5 (e) -0.9 e Which is the fifth smallest value? (a) 0.3 (b) 2/31 (c) 3.19 (d) -3 (e) -0.4 c What is the third biggest value in -5, 3/7, 10499, -0.14? -0.14 What is the third smallest value in 2/17, -5, 2/21, 3, -1/112, -0.0025? -0.0025 What is the fourth smallest value in 9579, -4, -5, 4? 9579 Which is the third smallest value? (a) 85 (b) -4 (c) 2 (d) 94 (e) -3 c Which is the second biggest value? (a) 7069 (b) 2 (c) -2 b What is the second biggest value in 0.4, 2, 11.545, -3? 2 What is the biggest value in 5, -12519, -3? 5 Which is the fourth biggest value? (a) -0.05 (b) -8 (c) -1 (d) 3 (e) 1/5 (f) -14/11 c Which is the fifth smallest value? (a) -0.3 (b) -1/4 (c) 3 (d) -1 (e) 4 (f) 1/4 c What is the third smallest value in -414, -0.22, -0.6, -3? -0.6 What is the biggest value in 4/7, 2, 1/72, -4, 1/5? 2 Which is the third biggest value? (a) -2/13 (b) 3.6 (c) 4 (d) 36 b Which is the third biggest value? (a) -2/3 (b) -0.1 (c) 5 (d) -2005 a What is the smallest value in -0.3, 19/5, -182? -182 Which is the fourth smallest value? (a) 0.4 (b) -1/30 (c) 4 (d) -56 (e) -0.3 a Which is the fifth smallest value? (a) 15/14 (b) -5 (c) -0.2 (d) 0.1 (e) -4 (f) 0 d What is the second biggest value in -1695, -2, 1/19? -2 Which is the fourth smallest value? (a) 101 (b) 6 (c) 2/7 (d) -0.4 a Which is the second smallest value? (a) -3 (b) 1.2 (c) 31 (d) 0.156 d What is the second biggest value in -0.04, -39/8, 0.09? -0.04 What is the second smallest value in -1.18, 22/9, 2/5? 2/5 What is the second smallest value in -0.4, -17003, 1/4, -6, 0.1, 3? -6 Which is the fourth smallest value? (a) -2.34 (b) -9 (c) 3 (d) -14 c What is the biggest value in -2, -3, 3, 4, 16, -0.2? 16 What is the fifth smallest value in -1, -0.2, -4, 12/313, 4? 4 What is the second smallest value in -3647, 5, -5? -5 Which is the second biggest value? (a) 2 (b) 62 (c) -0.1 (d) -3 (e) 5 e Which is the second smallest value? (a) 1/6 (b) -15 (c) -880 (d) 2 (e) -0.02 b What is the third biggest value in -0.1, 2, 4, 0.2, 50, -0.0495? 2 Which is the third smallest value? (a) 0.2 (b) -0.6 (c) 0 (d) 2 (e) 21 a Which is the third smallest value? (a) -4 (b) -0.4 (c) 56 (d) -792 (e) 5 b What is the smallest value in -0.13, 3/259, -5? -5 What is the second smallest value in 0, -11, 10.5, 1, -0.2? -0.2 What is the third biggest value in 271, 0.5, -3, 0.1? 0.1 What is the fourth biggest value in 4, -3, -1/8, -1, -23? -3 What is the third biggest value in -3309/5, 10, 1/8? -3309/5 Which is the smallest value? (a) -2/3 (b) 3 (c) 2/9 (d) 320 (e) 13 a What is the second smallest value in -3, 9, -1/10, -2/2677? -1/10 What is the biggest value in -7, 207.6, -0.2? 207.6 What is the biggest value in 3, -0.2, 4/159, -5, 37? 37 Which is the third smallest value? (a) -4 (b) 96 (c) 0.17 b What is the third biggest value in -18, 170, -0.03? -18 Which is the biggest value? (a) -0.417 (b) -31/4 (c) -6 a What is the fourth smallest value in -7/5, 2.312, 2, 1? 2.312 What is the fourth smallest value in 0.03, -3/4, -5, 4, -2.054? 0.03 Which is the second biggest value? (a) -3 (b) -2679 (c) 0.2 (d) -0.039 (e) 6/5 c Which is the second biggest value? (a) 1/316 (b) 34 (c) -0.3 (d) 0.3 d Which is the second smallest value? (a) 5 (b) -54/95 (c) 0 c Which is the third biggest value? (a) 21.657 (b) 2/9 (c) -2/7 c Which is the smallest value? (a) 0 (b) -4 (c) 95 b What is the second smallest value in 3/7, 0.03, -759? 0.03 Which is the fifth smallest value? (a) 61 (b) 1.6 (c) -0.2 (d) -3/8 (e) 20 a Which is the second smallest value? (a) 1/5 (b) 1 (c) -2/9 (d) 1462 a What is the third biggest value in 5, -1/437, 1? -1/437 Which is the smallest value? (a) 0.1 (b) -5 (c) 23 (d) 1/7 (e) 4 (f) 2 b Which is the smallest value? (a) 0.17 (b) 14.757 (c) 0.8 a What is the second smallest value in 0.2, 2, -49, -0.4, -0.5? -0.5 Which is the fourth biggest value? (a) -1/4 (b) -2/13 (c) -0.5 (d) 0.5 (e) 7 (f) -2/5 a What is the second smallest value in -3/10, -1/3, -1/4, -72/25, 1/4? -1/3 Which is the smallest value? (a) -0.5 (b) 3 (c) -3/23 (d) 34 (e) -0.2 (f) -3 f Which is the fourth biggest value? (a) 3 (b) -3/2 (c) 2/191 (d) -5 (e) 4 (f) -1/4 f What is the biggest value in -2/13, 2/3, 15.7, -10, 14? 15.7 Which is the third biggest value? (a) 2/5 (b) -1/3211 (c) -35 c Which is the third smallest value? (a) -4/45 (b) 4 (c) -1.6 (d) -1/2 a Which is the third smallest value? (a) 55 (b) 1 (c) 2 (d) -0.1 (e) 4 (f) -19 b Which is the sixth biggest value? (a) -0.04 (b) -0.1 (c) -0.5 (d) -1 (e) -0.3 (f) 95 d What is the smallest value in 3, -936, 5, 4? -936 Which is the third biggest value? (a) 4.7 (b) 0.05 (c) 58 (d) -0.2 (e) 3 e Which is the second biggest value? (a) -3 (b) -12 (c) -3/2 (d) 41 (e) 5 (f) -5 e Which is the fifth smallest value? (a) -3 (b) 3/4 (c) -100/9 (d) 5 (e) 2 (f) 12 d What is the second smallest value in -2/7, 4, 19, 69, 2, -3? -2/7 Which is the third biggest value? (a) -213 (b) -0.4 (c) 555/4 a What is the fifth biggest value in -4, 41/2, -78, 5, 0? -78 Which is the smallest value? (a) 0.17 (b) 0.4 (c) 48 a Which is the fourth biggest value? (a) -3.16 (b) -4 (c) -0.1 (d) 0.5 (e) 2/43 a What is the third smallest value in -1, -5058, 1, -2, 2/11? -1 What is the smallest value in -4, 1, -748, -1/4? -748 Which is the smallest value? (a) 14/6723 (b) 2 (c) -2 c What is the fourth smallest value in -1, -2/3, -5, 284.89, 1/5? 1/5 What is the smallest value in -1.08, 0, -140? -140 Which is the second smallest value? (a) -0.7 (b) 6/7 (c) -1 (d) -20 (e) 0.1 c What is the smallest value in 11.3121, -1/18, -3? -3 What is the second biggest value in -5, -6, 5, -0.06? -0.06 Which is the biggest value? (a) -4 (b) -2 (c) 3 (d) 0.41 (e) 24 (f) -13 e Which is the fourth biggest value? (a) 2/15 (b) 3/5 (c) 0.4 (d) -12396 (e) 0 e Which is the biggest value? (a) 5 (b) 4.821 (c) 16 c Which is the biggest value? (a) -1/3 (b) 1152 (c) 0.5 (d) 0.23 b What is the third biggest value in 5430/221, 0.06, -0.2? -0.2 What is the biggest value in 54/11, 3, 1/48, -0.4, -5? 54/11 What is the biggest value in -8, -1/3, 5, 2, 3, 4/19? 5 Which is the fourth smallest value? (a) -20 (b) 3 (c) -3 (d) 0.0295 b Which is the fourth biggest value? (a) -2 (b) -0.4 (c) -29/5 (d) 1 (e) -243 c What is the smallest value in 20, -44/15, 2/3? -44/15 What is the third biggest value in -64/5, 0.6, -11.71? -64/5 What is the fourth small
{ "pile_set_name": "DM Mathematics" }
plify l/l**12*l**(2/7) assuming l is positive. l**(-75/7) Simplify (h/h**(-2/5)*h*h**(-2))/(h/h**(4/7)*h**(-1/2)) assuming h is positive. h**(33/70) Simplify (j**(-4/5))**39 assuming j is positive. j**(-156/5) Simplify p**24*p**(3/22) assuming p is positive. p**(531/22) Simplify (j*j**(-41))**35 assuming j is positive. j**(-1400) Simplify (m**(-1/4))**(1/8)*m**(1/7)*m*(m/m**(-3)*m)/m*m assuming m is positive. m**(1369/224) Simplify ((((o/(o/o**(-2)))/o)/o)/o)**(-20) assuming o is positive. o**100 Simplify ((k*k**(4/5)*k)/k*(k/(k/(k**(-8)*k)))/k)**(-2/69) assuming k is positive. k**(62/345) Simplify (y*y**(-23))**(-8) assuming y is positive. y**176 Simplify (a*a/a**(-4))**(-1/4) assuming a is positive. a**(-3/2) Simplify ((t*t/(t*t**(1/10))*t)/t)**(27/7) assuming t is positive. t**(243/70) Simplify d*d**(-2/3)*d*(d**0/d*d)/d assuming d is positive. d**(1/3) Simplify (((j/(j**(5/6)/j))/j)/j**(-2/7))/(j/(j*j*(j/((j/j**(-2))/j)*j)/j))**7 assuming j is positive. j**(19/42) Simplify (j**1/(j/(j/(j*j**(-5)*j))*j))**(3/7) assuming j is positive. j**(9/7) Simplify l/(l*l/(l/(l/((l*l*l**22*l)/l*l)))*l*l)*l*l*l**(-29)*l assuming l is positive. l**(-4) Simplify (v/(v*v**(-1/3)/v))**(-17)*v**4/(v*v**(-3)*v) assuming v is positive. v**(-53/3) Simplify p*p**(1/12)*p*p*p**(1/9) assuming p is positive. p**(115/36) Simplify g*g**(-1/2)*g*g*g/(g**9/g)*g*(g/(g*(g*g*g*g*(g*(((g**(-5)/g)/g)/g*g)/g*g*g)/g*g*g*g*g)/g))/(g*g**(-2/7)) assuming g is positive. g**(-73/14) Simplify (k**0)**(-2/21)/(k*k*k**(-1/5)/k*k*k**(2/5)) assuming k is positive. k**(-11/5) Simplify ((f/f**(2/9))/f**(-8))/(f*f/(f**(-1)*f*f*f*f))**13 assuming f is positive. f**(196/9) Simplify (k**(11/4)/(k*k**10*k))**33 assuming k is positive. k**(-1221/4) Simplify ((i*i**1/i)/i)**1/(i**(-2/9))**(-33) assuming i is positive. i**(-22/3) Simplify ((b*b**(1/5))/(b*b*((b/b**(2/5))/b)/b))**3 assuming b is positive. b**(9/5) Simplify (g*g**(2/49)*g)/g*g/(g/(g/g**(-1/12))) assuming g is positive. g**(1249/588) Simplify u**(-27)*u/(u*u**(1/59)) assuming u is positive. u**(-1594/59) Simplify ((y**(2/3))**(-2))**(-3/7) assuming y is positive. y**(4/7) Simplify ((v*v*(v*v*v**3*v)/v)**(-39))**19 assuming v is positive. v**(-5187) Simplify (t**6)**(3/8) assuming t is positive. t**(9/4) Simplify (o*o/o**(2/3))/o**2*(o**0)**(-10/3) assuming o is positive. o**(-2/3) Simplify p**(1/15)*p**(-6/5) assuming p is positive. p**(-17/15) Simplify (h**(1/5)/h**(5/6))**45 assuming h is positive. h**(-57/2) Simplify w**2*w**(4/13) assuming w is positive. w**(30/13) Simplify (r/(r/(r*r/(r*r**(3/5)))))/(r/r**(3/11)) assuming r is positive. r**(-18/55) Simplify (w/(w/(w/((w/w**(-21))/w))*w))/w**(-23/3) assuming w is positive. w**(-40/3) Simplify ((w**(1/2)*w)/w)**(9/13)*w**(3/4)/w*w**(-1) assuming w is positive. w**(-47/52) Simplify (b**0)**(-4/19)*b/b**(-2/5)*b*(b/b**7)/b*b assuming b is positive. b**(-18/5) Simplify (l**(1/6)*l**3/l)**(8/13) assuming l is positive. l**(4/3) Simplify w**13*w/(w**(1/2)*w) assuming w is positive. w**(25/2) Simplify (y**7*(y*y**5)/y)**(4/29) assuming y is positive. y**(48/29) Simplify (m/((m/(m/(m/(m*m/(m/m**9))*m)))/m))/(m/((m/(m*m/((m/(m*(m**(-10/3)/m*m)/m))/m)))/m*m)) assuming m is positive. m**(34/3) Simplify m**(-2/27)*m*m*m**(-11) assuming m is positive. m**(-245/27) Simplify (((k/k**(2/23))/k)/(k/(k/((k*k*k/(k/(k/k**1))*k*k)/k))))**(-1/5) assuming k is positive. k**(71/115) Simplify (o**2*o/(o/(o/o**(-1/7))))**(-5/2) assuming o is positive. o**(-55/7) Simplify (d**(1/4)*d)**46 assuming d is positive. d**(115/2) Simplify r/(r*r**25)*r**(-35) assuming r is positive. r**(-60) Simplify (g**(-6)*g**7)/(g**(1/7)/g**(-3)) assuming g is positive. g**(-15/7) Simplify (n**(-6))**(-21) assuming n is positive. n**126 Simplify (l*l**(1/4)*l**(2/23))/((l*l**(-3))/l**(-6/7)) assuming l is positive. l**(1597/644) Simplify (((q**(2/5)/q*q*q*q)/q)/q)**(-11)*q**(-2/7)*q*q**4 assuming q is positive. q**(11/35) Simplify (i*i**(-5))/((i*i/((i**(-7)*i)/i))/i*i)*(i**(-1)/i)/(i*i**(-3)) assuming i is positive. i**(-13) Simplify (w/(w/w**6)*w*w*w*w*w**(6/13)*w)/(w/w**(-2))**(-11) assuming w is positive. w**(578/13) Simplify s**(-1/6)*s**(-7/3) assuming s is positive. s**(-5/2) Simplify (k/((k/(k*k**(-20)))/k))/k*(k**(-3/5)*k)/k assuming k is positive. k**(-98/5) Simplify ((i*(i**(-1/6)/i)/i)/(i**6*i*i))/(i*i**(2/5)*i*i/(i**(1/3)/i)) assuming i is positive. i**(-397/30) Simplify (i**(-4))**(-44/7) assuming i is positive. i**(176/7) Simplify (p**(8/7)/(p*p/(p*((p*p*p**(1/5)*p)/p*p*p)/p)))**(14/15) assuming p is positive. p**(78/25) Simplify (a**(-2/31))**12 assuming a is positive. a**(-24/31) Simplify ((g*g/(g*g**15))/g)/g*g**(-17)/g*g assuming g is positive. g**(-33) Simplify (p*p*p**(-1/4)/p*p)**1*p**(1/3)/((p**(-2/9)*p)/p) assuming p is positive. p**(83/36) Simplify (k**(-3)*k**(2/9))/(k*k**(2/7)*k)**(-4/11) assuming k is positive. k**(-1349/693) Simplify (m/m**2)/(m*m*m/(m/m**(-2/25))*m)*(m*m/((m*m**(-5/2)*m)/m))/m*m*m/(m*m**(3/11))*m assuming m is positive. m**(169/550) Simplify (b**2/((b/b**(-1/5))/b))**10 assuming b is positive. b**18 Simplify n**(-3/14)/n**10 assuming n is positive. n**(-143/14) Simplify (b**(2/43)/(b*b*b**(-1/13)))**(1/4) assuming b is positive. b**(-1049/2236) Simplify ((g*g**(-1/2))**47)**24 assuming g is positive. g**564 Simplify (j**(2/17)*(j/(j**(-5)*j))/j)/(j**2/j)**32 assuming j is positive. j**(-474/17) Simplify (m**(1/10)/m**(-2/15))/((m/m**5)/m*m**1) assuming m is positive. m**(127/30) Simplify ((k/(k**(-2)/k*k))/(k*k/(k*k/k**(-2)*k)))**(-28) assuming k is positive. k**(-168) Simplify s**(-3)*s**(-8) assuming s is positive. s**(-11) Simplify (h*h**(-2/5))**24/(h**(2/23)*h/((h/((h*h**(2/5)/h)/h))/h)) assuming h is positive. h**(320/23) Simplify (q*(q/q**(-2/61)*q)/q)/(q/((q/(q/q**6))/q)) assuming q is positive. q**(368/61) Simplify (o*(o/(o/(((o/(o*o**(-2/19))*o*o)/o)/o)))/o*o)/((o**0/o)/o)*(o**1)**(-37) assuming o is positive. o**(-644/19) Simplify (h**(-8))**47 assuming h is positive. h**(-376) Simplify z**(-2/3)/((z*z/(z*z*z**(-1/10)*z))/z) assuming z is positive. z**(37/30) Simplify (x**(-4/3))**(13/2) assuming x is positive. x**(-26/3) Simplify (k**(-1/4)*k)**(-6/17) assuming k is positive. k**(-9/34) Simplify ((k*k**0/k)/k)**(2/5)*k**(-6)*k*k/k**3 assuming k is positive. k**(-37/5) Simplify j*j**(-2/3)*j**(-6)*j/(j*j**(2/11)*j*j)*j**4 assuming j is positive. j**(-127/33) Simplify b**(-12/13)*b**(14/5) assuming b is positive. b**(122/65) Simplify (w**(1/7)*w*w**(1/8)*w)**(-21) assuming w is positive. w**(-381/8) Simplify (q*q**(-4/7)*q*q**4)/(q*q**(-1/2)*q*q/((q*q*q**(-1/3))/q)) assuming q is positive. q**(151/42) Simplify (q*q*q*((((q/(q/(q/(q**(-3/10)*q))))/q*q)/q)/q)/q)/(q*q**19) assuming q is positive. q**(-197/10) Simplify ((c*c*c*c**(-1/2))**(-9))**(-25) assuming c is positive. c**(1125/2) Simplify ((u*u**(2/3))/u**5)/(u**(-4)*u**(2/5)) assuming u is positive. u**(4/15) Simplify ((g/(g*g**(2/5)))/g)**(-26) assuming g is positive. g**(182/5) Simplify ((w**(8/7)*w*w)/w)**(6/23) assuming w is positive. w**(90/161) Simplify (f**(-5)*f**4)**42 assuming f is positive. f**(-42) Simplify ((v/(v**(22/7)/v))/v*v)/(v/v**22) assuming v is positive. v**(139/7) Simplify m**(-15)*m*m**(-4)/m assuming m is positive. m**(-19) Simplify s*s/s**(-6/7)*(s*(s*s*s*s*(s*s*s**21/s)/s)/s)/s assuming s is positive. s**(188/7) Simplify q**(16/3)/q**(3/5) assuming q is positive. q**(71/15) Simplify (v**3*v)/v*v**(-2/9)/v assuming v is positive. v**(16/9) Simplify (g**(-2/33)*g)**(-13/5) assuming g is positive. g**(-403/165) Simplify b*b/(b*b**(2/15))*b*b**(-2/7)*b*b assuming b is positive. b**(376/105) Simplify (((f**4*f)/f)/(f**(5/4)*f*f*f))**(-4/15) assuming f is positive. f**(1/15) Simplify ((v*v**(-3))/v)**13 assuming v is positive. v**(-39) Simplify (n/n**(2/25))/n**(1/5)*n**(-4/3)/(n**(-1)*n) assuming n is positive. n**(-46/75) Simplify (g**(-26)/g)**4 assuming g is positive. g**(-108) Simplify ((h**(4/5)*h)**(-1/16))**(-10/3) assuming h is positive. h**(3/8) Simplify ((q*q*q**3*q)/q**(-2/49))**(3/13) assuming q is positive. q**(888/637) Simplify (r**(2/7)/r)**(-2/33) assuming r is positive. r**(10/231) Simplify (k**(-11)*k**11)**(-4/7) assuming k is positive. 1 Simplify b*b/b**(-16/3)*b**(-1/
{ "pile_set_name": "DM Mathematics" }
176)/(-66)*9*(-9)/54? -4 Calculate (21 + -22)*(1 + 1). -2 Calculate (3 + -4)*4/(14/7). -2 What is ((-152)/(-6))/((-840)/(-36) - 22)? 19 (6/21)/(22 + (-11565)/525) -10 What is (12 - 15) + (-67)/(-23) + (-82)/115? -4/5 (14/(-49))/((-21)/(-147)) - -10 8 (3*(-50)/(-105))/((-4)/(-2)) 5/7 What is the value of (16 - 7) + -15 + 12? 6 Evaluate -4 - 6 - -24 - -3. 17 Calculate ((-360)/84)/(15/(-35)). 10 -1 - (15 + -3)*-1 11 What is the value of (1 + -4)/((-2106)/52 - (0 + 0))? 2/27 What is the value of (-2120)/318 + 6/9? -6 Calculate (-18 - -12)/(-5 + 2) + 44/(-10). -12/5 What is the value of ((-6)/27)/((-630)/810)? 2/7 Calculate 4/(-54) - 204/(-2754). 0 Evaluate 5 - (4631/870 + (-360)/1200). -2/87 What is the value of (-160 - -178)*(-84)/54? -28 What is (144/(-21))/(-6) - 0? 8/7 What is the value of (-160)/720*(-1)/((-10)/(-6))? 2/15 (-30)/2*(-658)/(-7896) -5/4 What is (-40)/48*-4 + (190/(-30) - -7)? 4 Evaluate (-76)/57*6/180. -2/45 What is the value of (-80)/460 + (-550)/(-9775)? -2/17 What is (-378)/245 + 35/25? -1/7 Calculate (-22)/(-6)*(-10170)/(-18645). 2 Evaluate (-7568)/(-1276) + 11 - (-2)/29. 17 What is ((-90)/(-140) + 104/(-91))/(1/6)? -3 Calculate (3741/(-1204))/87*-10*1. 5/14 Calculate ((-114)/12 + 10)*60. 30 What is 6 + (-65)/(-30)*(294/(-56) - -3)? 9/8 What is (-660)/462*364/(-65)? 8 Evaluate ((-548)/(-68) - (-14)/(-238)) + -16. -8 Calculate 176*8*(-4)/(-352). 16 What is the value of ((-9)/(-5) - (263 - 262))/(-14)? -2/35 Evaluate 35 - (76 - 43) - (-34)/(-18). 1/9 146/584*((-4)/(-2) + 0 + -1) 1/4 What is the value of (-11 - 17 - 6)/2? -17 What is (-54)/(-8)*76/(-57)? -9 What is (-24)/30 + 98/60? 5/6 Evaluate (172/(-215))/(-1*(-2)/(-10)). 4 Calculate (28 - 32)*-2*2/(-56). -2/7 Evaluate ((-28)/6)/(138/(-414)). 14 Evaluate (-12 - (-299)/26)*(-5 + 5). 0 What is the value of 11/(-4)*(19 + -15)*(-18)/33? 6 Calculate 59/(-59)*((-1)/2)/(75/(-30)). -1/5 Evaluate 2115/(-28200)*5/(-3). 1/8 What is the value of ((-1380)/(-161))/10 + (-40)/238*3? 6/17 What is (9 + -29 - -21)/((-1)/(-25))? 25 ((-4)/(-4) - 0)/((-138)/48 + 3) 8 What is the value of (-6)/(-3) + 2 - -10*(-6)/(-15)? 8 (18/6 + -10)*319/203 -11 What is (-3)/(-21) + (5/(-35))/((-1)/(-43))? -6 Calculate 13750/15125*(-33)/2. -15 (0 + -6)*(21/(-315))/((-10)/(-50)) 2 What is the value of 280/(-315) - 6/54? -1 What is the value of (4914/(-75))/6 - (2016/200 + -10)? -11 Evaluate 1043/42 - (-20)/18*(-18)/24. 24 Evaluate (-16)/((-14)/147 + 132/63). -8 Evaluate 11*(-34)/(170/(-5)). 11 (31 - -1) + -236 + 172 -32 What is the value of ((-7)/14)/((-18)/(-396))? -11 What is 85/(-20) - 37/(-148)? -4 What is the value of 63/(-7) - 4*8/32? -10 What is 4 + ((-1070)/210 - -1)? -2/21 Calculate (76 + 9100/(-125))*2*5/(-4). -8 What is 1301/42 - 295/(-12390)? 31 Evaluate (-4)/((-24)/27)*(31 + (-2639)/84). -15/8 What is the value of (30 + 9284/(-308))*(2 - 1)? -1/7 What is 75/45*(-216)/(-45)? 8 -6 + 1082/190 + (40/(-95))/(-4) -1/5 What is (14 - (-25)/((-37400)/20878))*(-8)/(-6)? 1/17 Calculate (-1715)/155 + (-6)/(-93). -11 What is ((-1482)/(-702))/((-7)/(-63))? 19 Evaluate (7/49)/(42/84). 2/7 (14025/(-50))/(-51) + (-50)/4 -7 What is (4/(-22))/(5700/(-130625))? 25/6 Calculate (-3)/6*2002/77. -13 1 + (-13 - 720/(-63)) -4/7 What is (-8)/(-25)*420/112? 6/5 What is the value of ((-461429)/13277 - -35) + 4/34? 4/11 (0 + (-48)/(-20))/(72/(-480)) -16 What is ((-15)/45 - 3)/(60/(-54))? 3 Evaluate 45*(-12)/70*784/(-336). 18 (-2)/4*(1291 + -1311) 10 Evaluate (4767/189 + -25)/(-3). -2/27 What is -14 + 1360/100 + (-7)/(-55)? -3/11 (6 + -5)*(-19)/(133/140) -20 -35*(1526/(-70) + 22) -7 Evaluate 7/((-217)/92) + -16 + 19. 1/31 What is (-24)/14 + (213 - 211) - (-489)/(-21)? -23 What is (27/36)/((-12)/(-16))*-10? -10 Evaluate ((-3)/66)/(-2 + (-66)/(-24)). -2/33 Evaluate 3 - 8 - (-2 - -10 - -1). -14 Evaluate (-6 + 2)/((-6116)/278). 2/11 What is (-3366)/2992 - (-10)/16? -1/2 (38 + 1224/(-34))*(2*1)/58 2/29 What is the value of -9 + (-6)/((-57)/38*2/12)? 15 Evaluate ((-3132)/135 + 19)*-5. 21 Evaluate (4 - -7) + -15 + (15 - 30). -19 Evaluate (177/(-15) - (-2)/(-10))*(-2116)/1587. 16 What is 17 - ((-390)/(-26) - 14)? 16 Evaluate (-300)/8400 + (-45)/(-476). 1/17 Calculate (4/(-7) - (-3)/(-7))*(-675)/27. 25 54/162 + ((-25)/(-15))/5 2/3 (2 - (-88)/(-77))*-14 -12 Evaluate (-1 + -1)/(-9 + 1261/143). 11 Calculate ((-28)/(-910))/(12/39). 1/10 What is (5 + (-341)/93)*(9/(-66))/1? -2/11 What is the value of -4 + 2 - (-1 + 7 - 1)? -7 What is 17/4*(1852 + -1856)? -17 Calculate (55/165)/(2/(-2))*(0 + 42). -14 What is the value of 9/(90/(-28))*(455/14)/(-13)? 7 (-36)/((-1296)/828) - 13 10 Evaluate (8/(-168))/(-1)*51/17. 1/7 What is the value of (0 - 2/(-5))/(3938/660 - 6)? -12 Calculate (-80)/(-6) - (20/(-15))/(16/(-4)). 13 What is (-40)/(23400/2665) + (-4)/9? -5 Evaluate (16/120)/((-24)/(2280/(-133))). 2/21 What is (-18 - 2223/(-133))/(20/8 + -2)? -18/7 (-5 + 11/2)/(236/80 - 3) -10 (-18*1/(-7))/((-15114)/(-6412)) 12/11 What is the value of (-3 - 2) + (-990)/(-150)? 8/5 What is the value of (-8)/6*12/16 - (9 - 5)? -5 0 - (-14)/70 - (-39)/(-30)*14 -18 Calculate 1*(-2 - 6 - -23). 15 Evaluate (-8)/(-3)*((-1067)/(-88) + -2 + -10). 1/3 What is (-31 - (-5 - 5))*(255/(-135) - -2)? -7/3 What is the value of (-4)/(-26) + (-1295)/(-13468)? 1/4 What is the value of (0 - 1)/(-8 - (665/21)/(-5))? 3/5 Evaluate ((-290)/(-116))/(15/(-138)). -23 What is the value of ((-19)/(-38)*-2)/1? -1 What is the value of (-1)/(-16) - ((-15045)/(-2448))/(-59)? 1/6 What is 24/(-64) + (-490)/(-112)? 4 Calculate (((-39)/(-52))/(3/(-2)))/((-5)/(-120)). -12 Evaluate ((-45)/(-108)*9)/(2 + (-4 - 1)). -5/4 What is the value of ((-108)/(-240))/((-102)/272)? -6/5 (-1)/50*(-1930)/(-772) -1/20 Evaluate 12 + 1 + -18 + -14 + 25. 6 -10 + (-49)/7 + 2 -15 Calculate 767*21/546 - (-2)/(-4). 29 What is 4626/3598 + 638/(-518)? 2/37 What is the value of (0 - 18 - -5)/(-1)? 13 What is the value of 2/(-22) + 2064/(-6336)? -5/12 Calculate 6/8*((-14)/(-15) + 84/(-630)). 3/5 What is the value of 49/(-3) - 36/(-27)? -15 Evaluate (2/(-3))/(((-451)/(-198))/41). -12 What is the value of (-12)/8 - ((2 - 2) + -1)? -1/2 Evaluate (-1196)/455 + 12 + (-968)/77. -16/5 Evaluate (-14 - -2) + (-106)/(-8). 5/4 What is -9 + 209/38 + (-2)/(-4)? -3 Calculate (-56)/1540*11/(-10). 1/25 ((-364)/(-24) + -15)/(4/(-312)) -13 What is ((-2)/(-3))/((-4063)/2151)? -6/17 What is the value of 1/(-3) - (-2)/(-8 - (-1276)/158)? 26 Evaluate -2 + 2/(-7)*714/(-84). 3/7 What is (-15 - (-55)/5) + -4? -8 What is the value of ((-420)/20 - -21) + (-2)/(-9)? 2/9 Calculate 490/147*72/(-210). -8/7 -21 + 610/30 - (5/3 + -1) -4/3 Evaluate 1 + 6 - (224/98 + 7). -16/7 What is (320/28 + -10)/(27/(-21))? -10/9 Evaluate ((-65)/(-20))/(32/128). 13 Calculate -31*-3*(-15)/((-315)/7). 31 Evaluate 594/(-264) - 3/24*86. -13 Evaluate (81/(-270))/((-3)/(-9)*(-18)/4). 1/5 Calculate ((-46)/6)/((3/72)/(24/192)). -23 (-1143)/(-630) + (-75)/750 12/7 (-2)/(-6) - (-3 + (-78)/(-18) + -3) 2 Evaluate 6 + (11/(-22))/(2/48). -6 39816/1422*(2 - 1) 28 Evaluate ((-25)/(-10))/(-5) + (-9)/54. -2/3 What is 12 - (1 + 18/9)? 9 803/(-132) + (-4)/6 - 3/12 -7 What is 2/(-8*(-189)/(-168))? -2/9 Calculate (-950)/(-525) + (-7 - 6) + 11. -4/21 (-4)/3 + (-2212)/(-237) 8 What is the value of (-4 - (-684)/(-351)) + (33 - 27)? 2/39 What is (-6)/(-27)*1320/(-1100)? -4/15 Evaluate 1/(((-80)/(-75))/((-3)/9) - -3). -5 Evaluate (-32)/12*(-1218)/464. 7 Evaluate (32/18)/(-2) - (-4700)/(-423). -12 What is (-186)/155*11/(-22)? 3/5 Evaluate (0 - (-114)/10) + -4*1/10. 11 What is (-6)/12*(3/57)/(4/(-16))? 2/19 Evaluate (0 - (-2 + 4))/(556/(-278))*-11. -11 Evaluate (-192)/256*(-196)/(-21). -7 Calculate 5/(7 - (17 - (116 - -4))). 1/22 Calculate ((-693)/(-70) + 126/(-36))*(-7)/28. -8/5 What is 1/2 + -1 - (75/70 - 2)? 3/7 Calculate 11/(-55)*-25 + (-138)/24. -3/4 Evaluate (6*3/(-234))/((-2)/8*-2). -2/13 What is (-16)/24 + (34/10)/((-357)/(-85))? 1/7 Calculate 7/(-3) - (-18328)/6636. 3/7 (1/3 - 0) + 44/264 1/2 What is the value of (-273 - -252) + 20 + 1? 0 What is the value of 2/(-4)*1930/772*1/(-2)? 5/8 What is the value of ((-427)/(-1708))/(50/(-16))? -2/25 What is ((-55)/(330/(-64)))/(4/6)? 16 Evaluate (-6*(-10)/90)/((-20)/150). -5 What is (-423)/30 - (0 - 1/10)? -14 ((-16)/(-4) - 595/51) + 9 4/3 Evaluate 16
{ "pile_set_name": "DM Mathematics" }
-1 Let y(o) = -o**2 + 17*o - 15. Let q be y(15). Suppose 10*g - 11*g = q. Let h be (4 + -1)*g/(-9). Solve -5*i - l = h - 1, 0 = -4*i + 5*l + 20 for i. 0 Let r(k) = k**3 - 12*k**2 - k + 12. Let n be r(12). Let y be 13/(-52) + (n - 18/(-8)). Solve -y*o + 9 = -m, 5*m - o = m - 15 for m. -3 Suppose 3*x - 4*x = 0. Suppose x = 2*m - 5*m + 105. Solve -h + 5*h = -3*i + m, 10 = -i + 3*h for i. 5 Let v be -4 - 87/(-18) - (-266)/84. Solve 5*i - 16 = -p + 9, 0 = v*i + p - 20 for i. 5 Let t be ((-51)/(-34))/(2/4). Solve -14 = -x + t*k, 2*x = 4*k - 0*k + 22 for x. 5 Let l = -745 + 749. Solve -2*s - 2*w = l, -5*w + 3*w + 31 = -5*s for s. -5 Suppose -6 = -5*p + 4. Suppose -l = -4*l - p*l. Solve -5*i + 3*z - 15 = 0, 5*z = -l*i + 2*i + 25 for i. 0 Let i(g) = -9*g**3 - 4*g**2 + 9*g - 3. Let t be i(2). Let s = 75 + t. Solve s*r + o - 9 = 2, -4*r = o - 19 for r. 4 Suppose -5*o = -6*o + 5, 0 = 2*b - 5*o + 7. Suppose -5*m + b = -2*m. Solve 0 = m*q - 5*y - 10, -4 - 2 = -q - y for q. 5 Let h(q) = -6*q - 111. Let p be h(-19). Solve -5*o - p*x - 35 = -8*x, -5*x = -10 for o. -5 Let z be 10 + (-1 - -1) - -1. Suppose -4*s + 3*j - 37 = 81, 4*j = -5*s - 163. Let r = -29 - s. Solve 3*k - z = -r*d + d, 4*k - 16 = -d for k. 5 Suppose 5*l - l = -3*c + 23, 2*c - 18 = -4*l. Solve 0*x = x - s + 2, -c*s - 11 = 2*x for x. -3 Let x = 3098 - 3094. Solve 3*i = -5*p + 11, -3*i + x = -4*p + 2 for i. 2 Let a(q) = -q**2 + 26*q - 19. Let k be a(25). Suppose -55 = -5*n - k*n. Solve 0 = 5*s - 5*i + 35, -31 = 5*s - n*i + i for s. -3 Let f be (-50)/40*48/(-30). Solve -3*s - 3*k + 0 = 6, 0 = -4*s - 2*k - f for s. 1 Let m(o) = o**2 + 6*o + 2. Let v be m(-7). Let x be 1 + 2 - v/3. Suppose -5*l + 15 = -5*f, -4*f - 5 = f - 3*l. Solve 3*r + b + f = x, 0 = r + 2*b + 1 - 7 for r. -2 Suppose -2*l - 9 = -3*l. Suppose -s - l = -4*q, s = -q + 6*s - 12. Let z = 5 + -3. Solve -2*h - z*m + 19 = 3*m, q*h + 5*m = 21 for h. 2 Let u = 37713 - 37711. Suppose 41 = 5*x - 4*n, 0 = 3*x - 2*x - n - 9. Solve 0 = 2*h + 2*g + 16, -u*h - 28 = x*g for h. -4 Let h(s) = -s**3 + 31*s**2 + 67*s + 4. Let p be h(33). Let g = 5 + 0. Solve 5*k + p = -5*m + 2, -g*m = 10 for k. -5 Let u be (6/(-8))/(2/(-8)*1). Suppose 16 + 32 = u*j. Solve 0 = c - 3*c - 2*z + j, 2*z = 8 for c. 4 Let d be ((-3)/6 + 2/4)*1. Solve -2*a + d*a + 8 = p, a = 5*p - 7 for a. 3 Suppose -4*m - 56 = -0. Let i = m - -19. Suppose 4*s - 4 = 4. Solve 2*v = i*z + 6*v - 2, -s*v = z - 4 for z. -2 Suppose 0 = 3*p - 12 + 3. Let k be 4/2*10/4. Solve k*l + 10 = -d + 3, -l = -p*d + 11 for d. 3 Let c(s) be the first derivative of s**4/4 - 3*s**3 + 9*s**2/2 - 8*s - 51. Let z be c(8). Solve -x - 6 = 3*y, z = -x - 2*x + 4*y + 8 for x. 0 Let w(o) = 5*o - 25. Let c be w(10). Suppose 5*x + 5 - c = 0. Let k(h) = h**2 - 1. Let z be k(-1). Solve 3*m + x*y - 17 = z, 3*m + 0*y - y = 7 for m. 3 Suppose 0 = 5*a - 168 - 82. Let v = 56 - a. Solve -3*b - 2*x - 4 = 0, 0*b + v = -2*b - 3*x for b. 0 Let x(m) = m**2 - 8*m + 21. Let t be x(4). Solve 6*p + 2*k - 6 = 4*p, -5*p = k + t for p. -2 Let i = 293 - 288. Solve -x = -4*g - 6*x + 11, 0 = -2*g + i*x + 13 for g. 4 Suppose 56 = 4*n - 4. Let o be 90/(25/5)*(-8)/(-12). Let f(t) = -t**2 - 5*t - 1. Let y be f(-4). Solve -z - 4*m - m + n = 0, -y*m = -o for z. -5 Suppose 7*u - 24 = 3*u. Solve 0 = -l - s - u, -3*l = 2*l + s + 10 for l. -1 Let y(n) = 2*n**2 - 26*n + 83. Let r be y(10). Solve r = 2*m - 6*m + 3*p, 5*m + 22 = -3*p for m. -5 Suppose 24*j + 5*c - 45 = 19*j, 5*j - 5*c - 35 = 0. Solve -20 = 4*v + 6*z - z, -5*v + 2*z = -j for v. 0 Let k(g) = -12*g + 8. Let d be k(5). Let j = d + 55. Solve -4*z - 35 = -3*t, 5*t - 30 = -j*z + 4*z for z. -5 Suppose -2*a + 0*a + 10 = 0. Suppose 4*x = 7 + 49. Suppose 5*g - 21 = -11. Solve 4*k = 5*j - g, -a*k - j = -k + x for k. -3 Suppose 3*g + 40 = 7*g. Let y = 29 - g. Solve -4*m = k + 13, -3*m + y = 2*k - 7*k for m. -2 Let n(x) = 14*x + 87. Let t be n(-6). Suppose 3*s = -5*m + 23, -2*s + m + 6 = 2*m. Solve 0 = -5*v + 3*y - s, v + t*y - 7 = 0 for v. 1 Let y = -815 - -821. Solve c - 4*c + 5 = -4*m, 4*c - 5*m - y = 0 for c. -1 Suppose -f + 7 = -5*k, f - 27 = k - 24. Solve 0 = -4*u + f*u - x - 1, -u = 4*x + 4 for u. 0 Suppose 0*l + 2*l = 10. Suppose 2*s - 43 = 3*z, -l*z + s - 5*s - 35 = 0. Let a = z + 16. Solve 5*y - 8*b = -3*b - 30, -28 = a*y - 3*b for y. -5 Let x(v) = -v**2 - 15*v - 23. Let l = 2 + -15. Let i be x(l). Solve -2*r + 8 = -t, -r + 1 - 4 = i*t for t. -2 Let z be (-3)/3 + (2 - 1). Suppose -r + 10 = r. Suppose -4*o - 4 = -3*i, -2*i + 2 = -5*o - 3. Solve z*c + r*c + 20 = -h, i = -2*c + 3*h - 8 for c. -4 Let w be 0*1*(0 - -1). Let i(h) = -h**2 - 8*h - 7. Let y be i(-5). Let s be 13/3 - y/(-12). Solve 5*o - s = 0, -5*m + 0*o + 4*o + 21 = w for m. 5 Suppose 17*f = 8*f + 18. Suppose -4*k - 3*y + 115 = 0, f*k + 0*k + 4*y - 70 = 0. Solve -5*p = -t + 2*t - k, -2*p = 5*t - 33 for t. 5 Let b be (48/(-42))/(10/(-35)). Solve -c + b*q = 0, 5*q - 7 = -5*c + 18 for c. 4 Suppose -10 = 11*c - 16*c. Solve -c*q + 12 = -2*g, -q = -6*g + 3*g - 14 for q. 2 Let f(p) = -10*p + 390. Let j be f(39). Solve -6*n + 5*a + 3 = -9*n, -4*a = j for n. -1 Suppose s = 2*k - 26, -2*k - s + 0*s + 30 = 0. Let g(t) = t**3 - 15*t**2 + 13*t + 14. Let b be g(k). Solve -v + 1 = b, -u - 7*v + 2 = -3*v for u. -2 Let o(t) = -3*t - 3. Let p be o(-1). Solve 5*q + 5 = p, 3*h - q - 6 = -20 for h. -5 Suppose -3*s + 12*x = 8*x - 46, -4*s = -3*x - 73. Let d be (-2)/5 - 312/(-5). Let z be (-2)/(-11) + d/s. Solve z*c + 5*b - 8*b + 3 = 0, -5 = 5*b for c. -2 Let p = 0 + 0. Let c(f) = 7*f - 6. Let n be c(3). Let k be (-7)/(-5) + n/25. Solve -2*r + k*d + 6 = p, -3 = -0*d - 3*d for r. 4 Let j(l) = l**3 + 45*l**2 + l + 48. Let f be j(-45). Solve -r = 5*i - 11, -f*r + 4 = 5*i - 9 for r. 1 Let m be (-22)/(-4) - ((-990)/(-36))/11. Solve m*a + 7 = -2*s, 4 = -5*a + 2*s + 19 for a. 1 Let s be (6426/45)/17 - (-3)/5. Solve 10*b - 11*b = -3*k - s, 4*k - 5*b = -23 for k. -2 Suppose 4 = 4*s - 8. Solve 0 = 3*q + s, -1 - 2 = a + 4*q for a. 1 Let y = 6 - 20. Let i = y - -19. Solve 2*t - i*r = -5, 2*r + 0*r = 4*t + 2 for t. 0 Let w(o) = -o**2 + 8*o + 3. Let n(d) = -d**3 + 20*d**2 - 21*d + 46. Let y be n(19). Let q be w(y). Solve -q*a - 3*b + 2*b = -11, a - 1 = -b for a. 5 Suppose -4*n - 35 = 5*f, 0*f + 2*f - 2 = 0. Let r = n - -6. Let c = 6 + r. Solve 2*s = 2*j + c, -3*j = -7*j - 2*s + 14 for j. 2 Suppose 4*s = 2*q + 7*s - 19, -5*q + 5*s - 15 = 0. Solve 3*o + 3*j = 0, 0*j - 4*j - q = 3*o for o. 2 Let y = 129 - 115. Suppose 0 = 5*d + 3*j - 197, -y - 27 = -d - j. Solve f - 10 = -5*m, -3*m = m - 5*f - d for m. 3 Suppose 13 = -s - 5*a, -25 = 2*s - a - 10. Let f(i) = i**2 + 8*i + 2. Let n be f(s). Solve 3*w - n*p + 19 = 0, -3*w = w + 4*p + 12 for w. -5 Let b(p) = -4*p + 12. Let z be b(3). Suppose 0*f - 2*f = z. Solve 5*h + 6 = -4*i, 4*h + f = -2*i - 6 for i. 1 Let t(a) = 2*a**3 + 34*a**2 + 57*a - 43. Let j be t(-15). Let w = -3 + 5. Solve 3*m - 4 = w*f, -m - j*f = f - 5 for m. 2 Suppose -5*k + 6*k + 21 = 0. Let t = k + 23. Let j(s) = s**3 + 5*s**2 + 2*s - 3. Let y be j(-4). Solve -y*c - a + 7 = 0, a - 3 = t*a for c. 2 Let f be 3 + 0 - (-3)/(6/34). Suppose 0 - f = -5*g. Solve 2*u + 4 = -3*z - 4, -5*u - 13 = g*z for z. -2 Let o be ((-320)/(-128))/(2*(-2)/(-24)). Solve j = -q - j + o, -3*q + 4*j = 5 for q. 5 Let r(w) = -6*w + 10. Let m(x) = 3*x - 5. Let u(q) = -7*m(q) - 3*r(q). Let c be u(0). Solve -c*h + 16 = i, i + 16 = 2*h + h for h. 4 Let v(l) = -l + 2. Let f be v(5). Let a be f/(-9) + (-30)/(-18). Solve 0 = 2*h + 2*h + 3*u - a, 2*h - 6 = u for h. 2 Let w = -1156 - -1160. Solve -t = 4*p - 16, 0*t + 16 = 2*t + w*p for t. 0 Suppose 2*i + 3*q - 5 = 0, -4*i + 12 = -2*i - 4*q. Solve -m = 4*o + 9, -2*o - i = -2*m - 2 for o. -2 Suppose 19 = 5*i - 6. Suppose 0 = -5*h - 2*c + 5, i*h - c = 3*h + 11. Solve 2*d = -5*m + 17, -4*m + 32 = -h*d - 0 for d. -4 Suppose 11*r - 30 - 14 = 0. Suppose -5*i + 0*i = -3*m + 8, 4*m - 39 = i. Solve r*h = -0*h + 5*w + 17, -3*h - m = w for h. -2 Let k(j) = 5*j**2 + 10*j**2 - 3 + 5*j - 28*j**2 + 14*j**2. Let z be k(-6). Solve 6 = z*h, 0*h - 3 = -3*l + 3*h for l. 3 Let q be -1 + 2 + 2 + 9. Suppose -q = -5*h + 13. Solve -4*i - 1 + 9 = 4*x, -h*i = -4*x + 35 for x. 5 Let c be 2/2 + (0 - -3). Let u be 1 + 1 + 112/8. Solve 2*q - 7*q + 11 = r, -u = c*r for q. 3 Suppos
{ "pile_set_name": "DM Mathematics" }
In base 16, what is b + 2d4f? 2d5a In base 13, what is -7 - -698? 691 In base 11, what is -4 + 122817? 122813 In base 8, what is 46 - -352? 420 In base 13, what is -b7 + a32? 948 In base 9, what is 116 + 11223? 11340 In base 10, what is 49944 + 4? 49948 In base 6, what is 5341051 - 0? 5341051 In base 13, what is -2b75 - 100? -2c75 In base 2, what is -10100101 + 1111110010110? 1111011110001 In base 7, what is 1 + 114306? 114310 In base 14, what is 2 + -5514? -5512 In base 5, what is 34 + 204020? 204104 In base 14, what is 321b - 2? 3219 In base 6, what is 25 + -413211? -413142 In base 13, what is 1 + -7185? -7184 In base 15, what is 4c984 - -1? 4c985 In base 4, what is 210301113 + -2? 210301111 In base 16, what is -513 + 5? -50e In base 16, what is -3 - 4d2a? -4d2d In base 15, what is 2b2c - -7? 2b34 In base 13, what is 66b0 + 23? 6703 In base 16, what is -39201 - 2? -39203 In base 3, what is -12 + 21110202202? 21110202120 In base 14, what is 5 - cb73b? -cb736 In base 4, what is 113103031 - -1022? 113110113 In base 9, what is -41467 + 21? -41446 In base 10, what is -9 + -8883? -8892 In base 4, what is -2321 + 32102? 23121 In base 12, what is -5 - -5a57? 5a52 In base 15, what is 5 + -15e402? -15e3ec In base 7, what is -4 - -116622? 116615 In base 11, what is 57 + 302? 359 In base 7, what is -2 + -233205? -233210 In base 9, what is -103 + 30841? 30737 In base 3, what is -1022202 + 1200? -1021002 In base 11, what is -141386 + -5? -141390 In base 12, what is -767 - -82? -6a5 In base 8, what is -1236 - 6? -1244 In base 2, what is -1001001010100000111 - -10? -1001001010100000101 In base 13, what is -158ab5 + -b? -158ac3 In base 16, what is 107a9b - 0? 107a9b In base 9, what is -21224 - -1? -21223 In base 13, what is 3 + 362372? 362375 In base 4, what is -103 + -2230131? -2230300 In base 2, what is 11101 + -10110111001010? -10110110101101 In base 6, what is 25 + -20203? -20134 In base 7, what is 1634453 - 3? 1634450 In base 15, what is -60e5 - 15? -610a In base 4, what is 20213 - 2311? 11302 In base 8, what is 4 - -364172? 364176 In base 7, what is 21 + -4032? -4011 In base 9, what is -327685 + 4? -327681 In base 4, what is 22100132 + 1? 22100133 In base 3, what is -1 - 22120220? -22120221 In base 10, what is -22 + 12326? 12304 In base 12, what is -15 + -20110? -20125 In base 10, what is 9 - -119777? 119786 In base 8, what is 4 + -632553? -632547 In base 16, what is 1052 - 27? 102b In base 13, what is 22b889 - 1? 22b888 In base 8, what is 0 - -33746? 33746 In base 10, what is 597 - 150? 447 In base 3, what is 222112201 - 1211? 222110220 In base 10, what is 5 + 17014? 17019 In base 15, what is -32eb55 + 5? -32eb50 In base 14, what is 4 + db77? db7b In base 3, what is 0 - -20210112102? 20210112102 In base 9, what is 1503 - 27? 1465 In base 7, what is 11310 - -5? 11315 In base 4, what is 11013020 + 13? 11013033 In base 16, what is 3284 + -78? 320c In base 14, what is 9815 - -5? 981a In base 11, what is 1 + -55973? -55972 In base 14, what is -1725cc - 0? -1725cc In base 7, what is -160 - -1261? 1101 In base 3, what is -12 - -2111112102222? 2111112102210 In base 6, what is 5205022 - 11? 5205011 In base 13, what is -49 - -5443? 53c7 In base 7, what is -5 - -22205? 22200 In base 16, what is -24be + -5? -24c3 In base 16, what is 19c + -143? 59 In base 5, what is -230430213 - -1? -230430212 In base 12, what is -7 - -5a044? 5a039 In base 14, what is -202 + -654? -856 In base 5, what is 414 - -22010? 22424 In base 2, what is 100101 + 111101101001? 111110001110 In base 10, what is -5677 + -7? -5684 In base 7, what is 13420 - 24? 13363 In base 16, what is -e313 + -2? -e315 In base 12, what is 0 + -23a792? -23a792 In base 16, what is 1f5 - 2f0c? -2d17 In base 6, what is 20 + 42212? 42232 In base 16, what is 0 + 4159e? 4159e In base 10, what is -2 + -1948? -1950 In base 11, what is 2737 + -8? 272a In base 2, what is 11 + 1010011000110111001? 1010011000110111100 In base 16, what is f37 + -1? f36 In base 15, what is -4 + -208ab? -208b0 In base 3, what is 11 - -101022001? 101022012 In base 8, what is -741 + -46? -1007 In base 8, what is -7 - 51? -60 In base 10, what is 12542 - -5? 12547 In base 7, what is -14421 + -1? -14422 In base 15, what is -19b - a45? -be1 In base 14, what is a - -1772? 177c In base 11, what is 10 + 510a? 511a In base 4, what is 200 + -22113? -21313 In base 11, what is -62481 - 2? -62483 In base 11, what is -5414 + 46? -5379 In base 14, what is -2 + -3b35d? -3b361 In base 8, what is -10 - 13710? -13720 In base 3, what is 10 + -1222121110? -1222121100 In base 4, what is 2321133 + 101? 2321300 In base 7, what is -3061330 - 0? -3061330 In base 13, what is 5 - 3206a? -32065 In base 5, what is -1 - -12202430? 12202424 In base 14, what is 24d + 1a08? 1c57 In base 5, what is -14300430 + -1? -14300431 In base 12, what is -5a04 - 19? -5a21 In base 4, what is -1102 - -31? -1011 In base 2, what is 10101110010 + 101010? 10110011100 In base 3, what is -21120000 - 0? -21120000 In base 13, what is 5578b + -3? 55788 In base 6, what is 0 + -11232104? -11232104 In base 16, what is 2f + -998? -969 In base 6, what is -1225 - 551? -2220 In base 15, what is 581 + c6? 657 In base 9, what is 1 - -10614? 10615 In base 3, what is -202 - -120102? 112200 In base 11, what is 12 - 2135? -2123 In base 16, what is -78 + 7a? 2 In base 12, what is -24574b - -4? -245747 In base 11, what is -351 + -4136? -4487 In base 7, what is 340664 + -12? 340652 In base 12, what is 26 - -1871? 1897 In base 5, what is -20 - -21110220? 21110200 In base 9, what is -5 - -6001? 5885 In base 12, what is 1b4a0 + -a? 1b492 In base 11, what is 3 - -384? 387 In base 4, what is 1223213 - -31? 1223310 In base 15, what is -11 + -7394? -73a5 In base 2, what is 10010101 + -111010000011? -110111101110 In base 5, what is -1010013 + 1? -1010012 In base 7, what is 2 + 236630? 236632 In base 13, what is -9101 + 3a? -9094 In base 7, what is 155240 + -14? 155223 In base 5, what is 0 + -23310341? -23310341 In base 13, what is cbc + 5? cc4 In base 3, what is 102020200220 - -2? 102020200222 In base 11, what is -575423 - -2? -575421 In base 8, what is -2411 + -1303? -3714 In base 3, what is -2 + -20110221010? -20110221012 In base 14, what is b338 - 0? b338 In base 6, what is -10211314 + 2? -10211312 In base 10, what is -613 + -280? -893 In base 7, what is 2 + 161435? 161440 In base 16, what is -26ce + -2? -26d0 In base 15, what is 5 + 18? 1d In base 5, what is 2 + -1143411? -1143404 In base 9, what is -85 - -10227? 10132 In base 13, what is -130 - -3150? 3020 In base 13, what is -8566 - 0? -8566 In base 9, what is 2274756 - 3? 2274753 In base 14, what is -87d1a - -4? -87d16 In base 2, what is 0 + -1011010001000000? -1011010001000000 In base 15, what is 8c + -59? 33 In base 16, what is -da92 + -29? -dabb In base 2, what is -10101101 - 100101? -11010010 In base 7, what is -12631 - -56? -12542 In base 11, what is 3 + -14754? -14751 In base 8, what is -2340176 + 3? -2340173 In base 11, what is 1283 - -1? 1284 In base 6, what is -340 - 103? -443 In base 11, what is 20942 - 147? 207a6 In base 9, what is -14738 + 7? -14731 In base 11, what is 668a - 5? 6685 In base 16, what is -42e8 - 6? -42ee In base 3, what is -1021100100 + -11? -1021100111 In base 6, what is -2442551 + -31? -2443022 In base 12, what is 394774 + 4? 394778 In base 10, what is -29058 + 4? -29054 In base 2, what is -101100 + -11100001101? -11100111001 In base 16, what is 39 - 1b5? -17c In base 7, what is 6 - 3105436? -3105430 In base 5, what is -2003334304 - -3? -2003334301 In base 13, what is -4 - 61a8? -61ac In base 14, what is c276 + 28? c2a0 In base 7, what is 103 + 6033? 6136 In base 12, what is -1144 + 6? -113a In base 16, what is 2 + 1fbd? 1fbf In base 9, what is -61 - 3258? -3330 In base 3, what is -2 + -22220201110? -22220201112 In base 9, what is 14601 + 4? 14605 In base 13, what is 4 + -131c? -1318 In base 11, what is -1043528 - 4? -1043531 In base 5, what is -22431 + 1104? -21322 In base 9, what is -57676 - 2? -57678 In base 6, what is 50 + 3422453? 3422543 In base 6, what is -331154 + -5? -331203 In base 4, what is 2220213 - -20? 2220233 In base 9, what is -1135384 - -4? -1135380 In base 3, what is 22210210 + -22? 22210111 In base 4, what is -
{ "pile_set_name": "DM Mathematics" }
*m + 0*m - 19*m. Let p(t) = -1552*t. What is u(p(i))? -1552*i Let h(z) = 4*z. Let r = -101 - -97. Let x be (-2 - r)/(-2)*(-11 + 3). Let v(y) = 11*y. Let f(o) = x*h(o) - 3*v(o). Let s(l) = 7*l. Determine s(f(d)). -7*d Let x(l) = 7*l + 1. Let p(q) = 65*q**2 + 4*q - 37. Give p(x(g)). 3185*g**2 + 938*g + 32 Suppose -28*q - 424 = -20*q. Let l = 55 + q. Let z(g) = 3*g**2 - 22*g - 4*g**l + 22*g. Let i(s) = 9*s**2. Determine z(i(m)). -81*m**4 Let z(b) = 1027*b**2 + 91*b + 273. Let c(g) = 34*g**2 + 3*g + 9. Let k(f) = 91*c(f) - 3*z(f). Let a(j) = 3*j**2 - 14*j**2 - 7 + 7. Calculate a(k(n)). -1859*n**4 Let x(d) = 303247*d. Let c(i) = -28*i. Give c(x(k)). -8490916*k Let w(g) = -741*g - 2340. Let q(j) = -3*j - 10. Let l(a) = -1170*q(a) + 5*w(a). Let r(b) = 14*b - 2. Determine l(r(d)). -2730*d + 390 Let t(l) = 5*l**2. Let y(v) = 68*v**2 - 3*v - 3. Let x(h) = 10335*h**2 - 455*h - 455. Let c(d) = -3*x(d) + 455*y(d). Give c(t(i)). -1625*i**4 Let z(p) = 11*p**2. Let f(r) = -13*r + 53*r - 24*r. Give z(f(b)). 2816*b**2 Let c(q) = -6879*q. Let h(j) = 5535*j. What is h(c(g))? -38075265*g Let q(w) = -39*w - 40*w - 50*w + 126*w. Let l(g) = 90*g**2 - 9*g + 9. Let y(p) = p**2 - p + 1. Let x(o) = l(o) - 9*y(o). What is q(x(r))? -243*r**2 Let r(g) = 9*g**2 + 10*g + 5. Let q = -7 - -12. Let j(t) = 91*t**2 + 98*t + 49. Let h(m) = q*j(m) - 49*r(m). Let n(w) = 9*w. Determine n(h(x)). 126*x**2 Let g(k) be the first derivative of -65 - k - 7*k**2 + 10*k**2 - 3*k**2 + 14*k**3. Let u(n) = n. Determine u(g(t)). 42*t**2 - 1 Let u(j) = -438308*j. Let o(l) = l**2 - 6. What is u(o(y))? -438308*y**2 + 2629848 Let p(a) be the third derivative of -31*a**4/12 - 2*a**2. Let f(h) = -64*h + 112*h - 51*h + 2 - 2. Calculate f(p(d)). 186*d Let w(f) be the first derivative of -15235*f**2/2 + 754. Let q(m) = m**2. Determine q(w(d)). 232105225*d**2 Let b = 97 + -25. Let v(s) = -s + 1. Let t = -4 + 3. Let g(z) = -60*z + 72. Let k(i) = b*v(i) + t*g(i). Let r(d) = -d. Determine k(r(u)). 12*u Let t(p) = 3*p**2. Suppose 4*z = -4*r + 7*z + 27, 25 = -5*z. Let g(c) be the first derivative of 0*c**3 + r*c**3 + 26 - 17 - 2*c**3. Calculate t(g(i)). 27*i**4 Let h(z) = 5*z. Let j(g) = -2687868*g**2. Determine h(j(r)). -13439340*r**2 Let c(s) = -1322*s**2 + 2. Let n(p) be the third derivative of -p**4/12 - 6863*p**2. Determine c(n(x)). -5288*x**2 + 2 Let s(y) = 9*y - 1403. Let z(u) = u - 165. Let v(r) = 6*s(r) - 51*z(r). Let o(t) = 2*t + 14*t**2 - 2*t - 7*t**2. What is o(v(f))? 63*f**2 - 126*f + 63 Let g(f) = 4*f**2. Let a(n) be the third derivative of 3437*n**4/24 + 2*n**2 - n + 129. Determine a(g(l)). 13748*l**2 Let h(d) = 5*d + 5. Let y(u) = 346*u + 1. Determine h(y(q)). 1730*q + 10 Let f(h) = 730*h**2 + 1. Let o(y) be the second derivative of -y**3/6 + 97*y - 15. What is o(f(s))? -730*s**2 - 1 Let i(g) be the second derivative of -g**4/6 + 342*g. Let y(w) = -295*w - 5. What is y(i(l))? 590*l**2 - 5 Let d(y) = 11*y - 10*y - 5*y + 317*y**2 - 312*y**2. Let h(r) = r**2 + 17 - 17. Calculate h(d(m)). 25*m**4 - 40*m**3 + 16*m**2 Let y(z) = -3*z. Let a(p) = -62*p**2 - 1323*p - 21. What is a(y(r))? -558*r**2 + 3969*r - 21 Let m(o) = 418*o**2 + 1. Let b(l) = -13*l + 20. Let v(t) = -3*t + 5. Let k(d) = b(d) - 4*v(d). Determine m(k(f)). 418*f**2 + 1 Let g(p) = 5*p**2 + 2. Let o(m) = -m**2 + 15*m - 34. Let y be o(12). Let n(l) = -14*l**2 - 7. Let z(k) = y*n(k) + 7*g(k). Let v(a) = -13*a**2. What is z(v(s))? 1183*s**4 Let f(z) be the third derivative of 13*z**8/20160 - z**6/720 - 3*z**5/2 - 106*z**2. Let l(k) be the third derivative of f(k). Let r(o) = 4*o. Determine r(l(t)). 52*t**2 - 4 Let b(q) = 3396926*q**2. Let i(c) = -9*c**2. What is b(i(j))? 275151006*j**4 Let w(s) = 2*s**2. Let b(a) = -134*a**2 - 107934. Determine b(w(h)). -536*h**4 - 107934 Let p(v) = 133*v + 4. Let w(t) = 132*t + 5. Let x(j) = 6*p(j) - 5*w(j). Let o(m) = 4311 - 2290 + 2*m - 2021. What is x(o(h))? 276*h - 1 Let o(h) = 314*h. Let y(z) = -506*z**2 + z. Calculate o(y(i)). -158884*i**2 + 314*i Let p(k) = -3*k. Let l(x) be the second derivative of -29*x**4/2 + x**2/2 - 1699*x. Give p(l(j)). 522*j**2 - 3 Let g(u) = -4*u**2 + 22. Let t(s) be the first derivative of 11*s**2/2 + 747. What is t(g(x))? -44*x**2 + 242 Let g(y) = 8*y. Let n(c) = 0*c + 185*c**2 + 0*c - 43*c**2 + 12*c**2. Determine n(g(f)). 9856*f**2 Let c(a) = 8*a + 10 + 2*a - 7. Let r(t) = 119*t + 35. Let p(g) = -35*c(g) + 3*r(g). Let z(f) be the second derivative of -f**4/3 + 602*f. Determine p(z(k)). -28*k**2 Suppose -m + 17 = o + 4*o, -5*o + 15 = 0. Let c(l) be the third derivative of l**4 + 3*l**4 + 3*l**m - 5*l**4. Let y(v) = v. Determine y(c(i)). -24*i Let t(a) = -11*a + 97. Let d be t(7). Let i(p) = -d - 3*p**2 + 20. Let k(q) = 7*q. Give k(i(o)). -21*o**2 Let w(y) = 2882*y**2. Let g(v) = -13614*v. What is g(w(m))? -39235548*m**2 Let p(s) = -1154*s**2. Let v(q) be the third derivative of -q**4/8 + 899*q**2 - 1. Determine p(v(g)). -10386*g**2 Let p(w) = 3*w**2. Let q(j) = -2846709*j**2 + 2*j - 7. Give q(p(c)). -25620381*c**4 + 6*c**2 - 7 Let j(g) = 5*g**2 - 162 - 4*g**2 + 185. Let c(p) = p**2 + 12. Let b(x) = -5*c(x) + 3*j(x). Let f(d) = 3*d**2. What is b(f(h))? -18*h**4 + 9 Let v(b) = -28*b**2 - 13*b + 403. Let f(c) = -13*c**2 - 6*c + 186. Let k(r) = 13*f(r) - 6*v(r). Let y(o) = -3424*o. Calculate y(k(u)). 3424*u**2 Let y be (-1)/(-4)*32/(10 + -2). Let p(d) = -y - 93*d - 36*d + 50*d. Let u(w) = 4*w. Determine u(p(k)). -316*k - 4 Let k(f) be the second derivative of -f**4/3 + 3*f. Let m(r) be the third derivative of -31*r**4/24 + 528*r**2. What is k(m(j))? -3844*j**2 Let b(l) = -273*l**2 - 2. Let o(u) = -14*u - 381. Determine o(b(h)). 3822*h**2 - 353 Let b(c) = 2*c. Let y(k) = -36*k + 20. Let q(s) = 13*s**2 - 5*s + 2. Let u be q(-1). Let i(n) = 12*n - 6. Let d(x) = u*i(x) + 6*y(x). Give b(d(z)). 48*z Let q(m) = 730*m - 359*m + 158*m**2 - 371*m. Let d(z) = 2*z. Give q(d(n)). 632*n**2 Let k(z) = -z**2 - 24*z + 22. Let r(s) = -2*s**2 - 20*s + 16. Let b(t) = 5*k(t) - 6*r(t). Let a(n) = -3*n. What is b(a(j))? 63*j**2 + 14 Let y(o) = 922097 - o - 922097. Let d(g) = g**2 - 7*g - 21. Let x(l) = l**2 - 5*l - 14. Let q(j) = -5*d(j) + 7*x(j). Determine q(y(c)). 2*c**2 + 7 Let a(o) = -3*o**2. Let i(y) = -236*y + 152 + 170 - 3*y - 322. Give a(i(d)). -171363*d**2 Let t(q) = 8*q**2. Let z(c) be the third derivative of 13*c**5/15 - 3196*c**2. Give z(t(r)). 3328*r**4 Let t(u) be the first derivative of -23*u + 0*u**2 - 37 + 1/2*u**3. Let z(h) be the first derivative of t(h). Let w(l) = -35*l**2. Give z(w(q)). -105*q**2 Let j(f) = -1678 + 1678 + 210*f + 294*f**2. Let x(y) = -y**2 - y. Let p(w) = -2*j(w) - 420*x(w). Let a(t) = 2*t**2. Calculate a(p(v)). 56448*v**4 Let k(c) be the first derivative of 0*c**2 - 11/3*c**3 + 7 + 0*c. Let u(s) = 10*s. Let t(n) = -7*n. Let i(d) = -3*t(d) - 2*u(d). Give i(k(f)). -11*f**2 Let m(r) = -2*r + 27. Let g be m(11). Let u(j) = -11*j - 5*j - g*j + 13*j. Let z(n) = -9*n**2. Give u(z(y)). 72*y**2 Let g(z) = -z. Let y(k) = 3*k. Suppose -5*m + 45 = 3*d - 918, 2*d + 203 = m. Let f(a) = -95*a. Let w(u) = m*y(u) + 6*f(u). Give g(w(i)). -15*i Let m(r) be the first derivative of 4*r**3/3 + 66. Let z(p) = -44*p**2 - 66*p + 66. Let a(y) = y**2 + y - 1. Let l(v) = -66*a(v) - z(v). What is m(l(j))? 1936*j**4 Let l(u) be the first derivative of 6*u**3 - u**2/2 + u + 1. Let h(t) = -t. Let j(m) = -h(m) + l(m). Let g(c) = -51*c + 157*c + 0*c - 51*c - 54*c. Give j(g(b)). 18*b**2 + 1 Let t(u) = 1386*u**2. Let z(h) = -324*h**2. Calculate z(t(l)). -622402704*l**4 Let g(m) = -29*m + 2. Let l(k) be the third derivative of -25*k**4/6 - 9*k**2 + 668. Give l(g(y)). 2900*y - 200 Let l(i) be the third derivative of 7*i**5/20 + i**3/3 - 6*i**2. Let t(p) = -8*p. Let o(m) = -42*m. Let q(a) = -2*o(a) + 11*t(a). Determine q(l(h)). -84*h**2 - 8 Let f(m) = 23*m**2 - 1027 + 17*m**2 + 1027. Let y(k) be the second derivative of -k**4/6 + k. Determine f(y(p)). 160*p**4 Suppose -7*q = -3*q. Let z(y) = q*y + 6*y - 2*y. Let a(w) = -6 - 23*w - 2 + 25*w + 8. Calculate z(a(s)). 8*s Let m = 123 + -121. Let f(j) = 457*j - m + 2 - 502*j. Let h(g) = -4*g**2. Determine f(h(k)). 180*k**2 Let z(w) = -86*w**2. Suppose 11*s - 1037 - 11855 = 0. Let b(n) = -588*n - 585*n + s*n. Determine b(z(t)). 86*t**2 Let h(z) = 35*z
{ "pile_set_name": "DM Mathematics" }
- (-1 + 9). -4 What is the value of 84 + -102 + -2 + 26? 6 What is (4 + -7 + 9 - 1) + -4 - 12? -11 What is -3 + 1 + -2 - (-26 - -15 - -2)? 5 -1 + 1 + 24 - 14 10 6 + 0 + (0 + 6 - 24) -12 Evaluate -5 + 9 + (-1 + 16 - 16). 3 Evaluate (-1 - 6) + 43 + -33. 3 What is -8 - 1 - (24 - 13 - 35)? 15 Calculate 1 + (-3 + 1 - 5). -6 -8 + (-18 - (-11 + (-1 - -7))) -21 Evaluate 5 + 4 + (7 - (9 + 16)). -9 Evaluate 7 + 2 + (-29 - -30 - (-1 + 10)). 1 What is -8 - ((-72 - -76) + (0 - 1))? -11 Evaluate 12 + -1 + 5 + (6 - 3) - 3. 16 -16 - -2 - (11 + -27) 2 What is the value of (30 - -34) + -29 - 19? 16 What is the value of -5 + 1 + (-13 - (18 + -29))? -6 What is the value of -18 - (-4 - (60 + -54 + (1 - 14)))? -21 What is the value of -5 - 0 - (-2 - (0 - 3)) - -3? -3 Calculate (13 + -10 - (-5 - -2)) + (-12 - 2). -8 2 + -8 + (106 - 110) + (-6 - 0) -16 Calculate (-6 - (-17 + 14)) + 14. 11 Evaluate (3 - (1 - 0 - -4)) + 7 + -9. -4 Calculate (4 - 24) + 63 + -28. 15 Calculate 31 + 4 + -28 + 15. 22 (-1 - 1) + -8 + (23 - 16) -3 4 + 1 + -1 + -2 + -6 + -8 -12 What is -5 + 11 + (0 - -9) + -38? -23 -29 + 18 + -1 + 21 9 What is (-23 - -46 - 18) + -1 + 0 + -17? -13 (8 - 18 - 20) + 34 4 Calculate 18 + 3 - 18 - (35 + 2 + -9). -25 Evaluate (4 - (17 + -17 - -3)) + -15. -14 2 - -11 - (-10 - -6) 17 Calculate 13 + -32 + 21 - -13. 15 What is the value of (15 - (19 + 13)) + 11? -6 8 + 0 + (-10 - -8) + 7 13 Evaluate 1 + -9 + (6 - (30 - 15)). -17 What is the value of (-12 + 13 - 9) + 6? -2 Evaluate (-5 + 2 - 2 - (-35 - -34)) + 4. 0 Calculate (14 - 0) + 80 + -88. 6 What is the value of 0 - (-4 + 23 + (1 - (-3 - -10)))? -13 Evaluate (56 - 33) + -40 - -28. 11 14 - (-2 + 18 + -8) 6 What is 28 - -1 - 47 - (-12 - -2)? -8 15 + 2 + -2 + 11 + -20 6 Calculate -17 - (8 + (-37 - (9 - 4))). 17 Evaluate -14 + (-21 - -32) + (9 - -1). 7 Calculate -6 + -3 + 11 + -4 - (14 - 21). 5 What is the value of (13 - -3) + (36 - 66)? -14 What is 6 + -1614 + 1618 + (0 - (1 + 1))? 8 Evaluate -14 - (20 + (-12 + -2 - -13)). -33 Evaluate (-2 - -7) + (1 + -2 - 7) + 1. -2 Calculate 2 - (-8 - (4 + -31 + 14)). -3 What is (-3 - ((14 - (-8 + 14)) + -10)) + 6? 5 -7 + -2 + 11 - 7 - 0 - 19 -24 Evaluate 10 + 41 - (21 + -6) - 9. 27 What is (10 + -3 + 1 - 8) + -15? -15 Calculate (16 + -29 + 18 - (0 - -2)) + -7. -4 Evaluate -16 - (0 - (-1 + -3)). -20 (8 - (5 - 5 - -9)) + 6 5 Evaluate -11 + -3 + -2 + 2 - (42 + -49). -7 Calculate 5 + (-5 - 6) + -5. -11 What is 19 + (64 - 17) + -17 - (-2 - -14)? 37 What is the value of 0 + -4 + 9 + (-9 - 4) + -4? -12 What is 1 + (31 - 84) + 26? -26 Evaluate 30 - (28 + -10 - -1). 11 Calculate 3 + -17 + (-3 - (13 + -5)). -25 Calculate 37 + (-16 + 2 - (-132 + 133)). 22 Evaluate -6 - (-1 + 6 - -3) - (1 - 7). -8 What is 16 + (-11 - (-3 - 5)) + 6? 19 What is -80 + 43 - -28 - (-1 + 0 - -3)? -11 Calculate (22 - 13) + -13 + 5. 1 Calculate -6 + (11 - ((-6 - -1) + 3)). 7 35 - (-24 + 53) - (2 + -1 + 8) -3 Calculate 0 - -14 - 40 - -15. -11 7 + (17 - 17) + -10 - -14 11 Evaluate 9 + -15 + (-16 - -1). -21 1 - (-2 + 10 - (-4 + 10)) -1 What is 4 + -3 + (5 - (10 - 5))? 1 What is (19 - (-22 + 41)) + -12 + 0? -12 What is -3 - (-18 - -2 - (-1 - -5 - -1))? 18 Evaluate -7 + (-1 + -6 + 7 + -15 - -6). -16 Evaluate -14 - ((-25 - (11 - -1)) + 15). 8 Calculate -1 + 9 + (479 - 490). -3 What is the value of 5 - (-57 + 51 + (19 - (2 + 0)))? -6 188 + -197 + 4 + -22 + (-3 - -7) -23 Evaluate (0 - (-6 - 9)) + (-2 - (-2 - 0)). 15 What is (2 - 10) + 40 + -29? 3 Calculate (-6 - -12) + (-6 - -6) + -5 + -4. -3 What is the value of 2 + (-3 + 1 - 0 - -4 - 13)? -9 Evaluate (-3 - -1) + (-6 - -14) - 13 - -4. -3 What is 1 + -40 - -35 - -38? 34 What is the value of 26 - (12 + 17 + -9)? 6 -7 + 25 + -1 - 21 -4 Evaluate (10 - 18) + 44 + -1 + -12. 23 What is the value of 7 - 7 - (0 + 3 + -5)? 2 What is the value of 29 + -7 + -36 - 5? -19 Evaluate -31 - (23 - 89 - -29). 6 Evaluate -7 + 16 + -5 + -3. 1 What is (21 - 25) + 7 + -3 + 34? 34 What is the value of (-4 - 10 - -5) + 0? -9 What is the value of (-1 - -1) + 5 + -5 - (499 + -491)? -8 Calculate 17 - (16 - (13 - 8)). 6 What is -17 - (-34 + 0) - 22? -5 (-4 - -2 - 5) + 2 -5 Calculate 20 - (4 - -8 - -8). 0 5 + 6 + -15 + 6 + 4 6 What is the value of (0 - 2) + (0 - 0) + -12 + 4? -10 Calculate 1 - -18 - (-16 + 34 + -14). 15 Calculate (-47 - (36 + -71)) + (-12 - 0). -24 What is the value of -11 + (-9 + 10 - -3) - -27? 20 Calculate (5 - 11) + 34 - 13 - -16. 31 Calculate 2 - (29 - (17 - -8)). -2 Evaluate -3 - (17 - (-9 - -4)). -25 (-5 - -4) + 0 + -17 + -4 + 10 -12 Calculate -1979 + 1982 - ((0 - (-2 - 0)) + 8). -7 What is 21 - (8 - 12 - -33)? -8 22 + -13 + (-32 - (3 + -7)) -19 What is the value of 9 - (-26 + 1 + 36)? -2 What is 6 - (0 + (-8 - -21) + -12)? 5 What is the value of -7 + (8 - (6 + -6)) - -2? 3 Calculate -4 + (26 - 10) + (-2 - (-3 + -1)). 14 Evaluate 25 + (-37 - 12) - -17. -7 What is -44 + (16 - -3) + 12? -13 What is the value of 11 + -1 - (11 + (-1 - -6))? -6 What is the value of (-8 - 0) + -1 + 3 - (119 + -138)? 13 What is the value of 2 + (1 - 3) + -5 + 80 + -56? 19 Evaluate -16 + -21 + 23 + 21. 7 -75 + 59 + 1 + 34 19 What is the value of 27 + (-13 - 1) + -23? -10 Calculate 23 + -5 + 13 + -18 - 36. -23 -5 + -5 + 8 + (-13 - -6) -9 What is -10 - (12 - (-10 - -23))? -9 Calculate -1 + -2 + -9 + -55 + 57. -10 0 - 5 - (-18 + 7 + 6 + 0) 0 What is the value of 20 + 11 + -6 + -16? 9 What is the value of (-16 - (-18 + 1)) + 2? 3 What is (3 + -21 + 8 - -47) + -1 + 0? 36 What is 3 + -23 + 26 - (-8 - -1)? 13 (28 - 8) + -23 + -1 + 9 5 What is -25 - -40 - 13 - (6 + (3 - 1))? -6 What is the value of -13 - -15 - (-3 - (3 + 2 + -1))? 9 Calculate 62 - (1 - (-54 + 24)). 31 Calculate 7 + (14 - 12 - (-4 - -2)). 11 What is the value of -5 - 13 - (-35 + 26)? -9 Evaluate -1 - -9 - (381 + -375). 2 What is -23 - -17 - (-5 + 2 + -2)? -1 What is the value of (19 - 9) + 2 + -26 + 5? -9 What is the value of -12 - (-3 - -9 - 6) - (-4 - -4)? -12 Evaluate (-5 - -8) + 1 + 1 + -7. -2 Calculate 12 - (-18 - (-46 + -3)). -19 What is -34 + (-27 - -103) - 12? 30 Calculate -11 + 0 + (4 - (8 + (0 - 4))). -11 Evaluate (-8 + 3 - -8) + 23 + -8 + 0. 18 What is -12 - (15 - 6 - 17)? -4 What is the value of 0 + -3 - (-18 + 28 + -17)? 4 -22 + 6 + 15 + 0 + -6 + -4 -11 What is the value of 6 + 0 + -10 + 4 + -4? -4 (3 + -15 + -1 - -44) + -16 15 Evaluate -55 + -30 + 54 + 7. -24 Calculate 0 - -6 - (7 + 4 - 19). 14 What is the value of 0 + 0 - 1 - ((8 - 8) + 3)? -4 What is the value of -37 - ((-2 - -37) + -40)? -32 Calculate -9 - -45 - 37 - (17 + 3). -21 What is 10 - ((-6 - -16 - 22) + 33)? -11 Calculate -5 + (-2 - (-5 - -5 - (3 + -2))). -6 What is the value of 0 - (0 - (-4 - -7 - -2))? 5 Calculate -117 - -116 - (0 - -14). -15 What is 20 + -2 - (1 + 8 + 2 - 2)? 9 What is -2 + -8 - -15 - -7? 12 Evaluate 2 - (-15 + 9) - (-4 + (-2 - -2)). 12 What is 2 - ((-11 + -6 - -8) + 6)? 5 Evaluate (-14 - -2) + -6 + 15. -3 What is 22 + 19 + -29 + 4? 16 532 - 543 - (-1 + (-6 - -1)) -5 (-8 - ((-2 - -1) + -1)) + -180 + 199 13 -6 + 5 + -13 + 16 - (-1 + -1) 4 16 + -8 - (1 + -1 + 0 - 0) 8 (4 - 8) + -6 + 6 + 15 11 What is 11 + -34 + (-7 - -2) + 7 + -10? -31 Evaluate 4 + -27 + 4 - (-11 + 1). -9 Calculate 22 + (-4 - 2 - -1) - 2. 15 What is -1656 + 1644 - (27 + 0)? -39 Evaluate (7 + (-6 - 0) - 4) + 1. -2 11 - 5 - ((-3 - -12) + -6) 3 4 + 1 - (3 + (8 - (4 - -7))) 5 Calculate -11 - (1 + -10 - ((15 - 8) + -11)). -6 What is the value of 20 - 23 - (-2 - -1)? -2 What is the value of -6 + (7 + -10 - 4)? -13 Evaluate -6 - -8 - (-4 + 4) - (-13 - 2). 17 What is the value of 3 + -7 + -2 + 0 + (11 - 1)? 4 Evaluate 3 - 2 - (-1 - 9 - -4) - 18. -11 What is the value of (-11 - -1) + -185 + 188 + 6? -1 What is (-4 - -10) + -15 + 5 - (12 + -25)? 9 (-12 + 14 - -8) + 13 + -13 10 Evaluate (-9 - -3 - (-3 - -27)) + -39 + 35. -34 What is the value of -23 - ((15 - 11) + -2 - 2)? -23 What is the value of 5 + -1 + 0 + -2 + (2 - 2)? 2 Evaluate 1 + 5 + (-8 - (-14 + 11 + -1)). 2 What is 27 - (5 + 2 - 3) - (-22 + 23)? 22 What is (2 - -8 - -11) + (-20 - (-24 - -12))? 13 35 - (-6 + -8 - -13 - -4) 32 Calculate -18 - (-23 + 12 - -11). -18 4 - 1 - 0 - (20 - (20 + -17)) -14 What is the value of 28 - (-16 - (-79 - -32))? -3 Calculate -2 - (-18 - (4 + -4) - (-28 + 22)). 10 What is the value of -8 - -15 - (4 - (-3
{ "pile_set_name": "DM Mathematics" }
biggest value? (a) -0.3 (b) 64352 (c) -26 (d) -0.1 d Which is the smallest value? (a) 1/3 (b) 2 (c) -38 (d) -30 c Which is the second smallest value? (a) -13/67 (b) 42 (c) -0.1 c What is the fifth biggest value in -1, 136, 2/13, 0.74, -2/3? -1 What is the sixth smallest value in -6/419, -0.1, 1/3, 2/5, -0.3, -0.4? 2/5 Which is the second biggest value? (a) -2/19 (b) 1/4 (c) 69/2 (d) 0.4 d What is the second biggest value in 6/71, 1.3, 3, -0.4, 5? 3 Which is the second smallest value? (a) -3 (b) 992 (c) 15/2 (d) 4 d What is the biggest value in 2.434, -0.2, -348? 2.434 What is the fourth smallest value in 3, -5, -7, -119? 3 Which is the third smallest value? (a) 0 (b) 3 (c) 21946 c What is the biggest value in 1029452, 4, -1? 1029452 Which is the third smallest value? (a) 2/7 (b) -0.05332 (c) -2 a Which is the second biggest value? (a) 0.4 (b) -272 (c) 0.2 c What is the third smallest value in 2/3, 1, -6.314? 1 What is the fourth biggest value in 2, -3, 2/187, 92/7? -3 What is the smallest value in -0.2, -0.1, 27/11? -0.2 What is the second biggest value in 3/7, -2, 3/5, 300, 1? 1 What is the smallest value in 89, 95, -4.7? -4.7 Which is the fourth biggest value? (a) -3/8 (b) 0.4 (c) -4/565 (d) 4 a What is the second smallest value in -2/5, 1/2, -89? -2/5 Which is the sixth smallest value? (a) -1 (b) 7560 (c) 2/11 (d) -2/15 (e) 0 (f) 1/5 b What is the fourth smallest value in 60.8, -1/4, -1, -7, 0? 0 What is the third smallest value in -3/68, -172, -0.13? -3/68 Which is the fourth smallest value? (a) -37 (b) -3 (c) -0.322 (d) 3 d Which is the fourth biggest value? (a) 5 (b) 4/63 (c) 0.2 (d) 69 (e) -5 (f) -1 b What is the second biggest value in -6065, 2, 0.2, -4, -1/3? 0.2 What is the biggest value in -4, 1/30, 2, -3.6, -1/3? 2 What is the second smallest value in -5, 2262/7, -2/15? -2/15 Which is the second biggest value? (a) 3/8 (b) -0.086 (c) -1/29 (d) -2 c Which is the fourth smallest value? (a) 11 (b) 268 (c) 0.3 (d) -5 b What is the second smallest value in 1, -2.78, 1/3, 86? 1/3 Which is the fifth smallest value? (a) 1 (b) 5 (c) 15 (d) 6/23 (e) -42 c Which is the fifth smallest value? (a) -0.01 (b) -1/2 (c) 5 (d) 153 (e) 4 d Which is the fourth smallest value? (a) -0.044 (b) 0.1 (c) 1/2 (d) 342/13 d What is the smallest value in -4/13, -1/2, 1429? -1/2 Which is the second biggest value? (a) 3 (b) 0.4 (c) -0.81 b What is the third smallest value in 9/2, 0, -6/7, 58.57, -0.1? 0 What is the biggest value in -2, -0.4, 4540, 5, -2/11, -1? 4540 What is the third smallest value in -132, 125, -2? 125 Which is the fifth biggest value? (a) -30 (b) -6 (c) -0.1 (d) 2 (e) -2/3 (f) 1 b What is the fifth smallest value in 0.04, 2/21, -5, -11, 4, -9? 2/21 What is the fifth biggest value in -0.4, -2824, -4, -3, 3/17? -2824 Which is the fourth biggest value? (a) -3 (b) -0.3 (c) 4 (d) -3/7 (e) 3917/12 d Which is the fourth smallest value? (a) 1 (b) -5/2 (c) 310889 (d) 0 (e) 2 e Which is the biggest value? (a) 0.2 (b) 2996 (c) -6 (d) -0.3 b Which is the biggest value? (a) 1/11 (b) -0.216237 (c) -1/2 a Which is the fifth biggest value? (a) 0 (b) 8 (c) -7/2 (d) 10 (e) 0.2 c Which is the smallest value? (a) -2/21 (b) -2 (c) 1/5 (d) -6/17 (e) 3 (f) -0.08 b What is the third smallest value in 6/11, 4, 0.857? 4 What is the sixth smallest value in 1, -11/5, -1, 4/7, -1/4, 2433/5? 2433/5 Which is the third biggest value? (a) 314/5 (b) -0.11 (c) 0.2 b What is the fourth smallest value in 1, -2/13, 5, -86182? 5 What is the second smallest value in -5, 2/3, 6, -0.3, 477? -0.3 What is the smallest value in -7, 0.4, -47, -5/6, -0.1, -4? -47 What is the smallest value in -20/49, -1286, 0.3? -1286 What is the smallest value in -3, -42, -673, 0.05? -673 Which is the third smallest value? (a) 12 (b) -0.2 (c) -2032 a Which is the second biggest value? (a) 25.8 (b) 5 (c) -1 b What is the third smallest value in -448, -3, -22, -1/6? -3 What is the second smallest value in 11/5, -101, -0.2, 4, 0.4? -0.2 Which is the fourth smallest value? (a) -2 (b) -25 (c) 3/235 (d) 1 d What is the third smallest value in -2, 38338, 5? 38338 What is the fifth biggest value in -2, -10, 0.4, 1, -5/4? -10 Which is the smallest value? (a) -2/5 (b) 0 (c) 3 (d) 6/19 (e) 0.08 a Which is the third smallest value? (a) -43 (b) 0 (c) -0.4 (d) -3 (e) 14/25 c Which is the second biggest value? (a) -891 (b) -2 (c) 8 (d) 2/7 d What is the second smallest value in 0.4, -0.399, -7/2, 10? -0.399 Which is the second smallest value? (a) -54793 (b) -2 (c) -2/3 b What is the smallest value in -0.096, 60, -19, 2/3? -19 Which is the second biggest value? (a) -4 (b) -23 (c) 4.2 a Which is the second biggest value? (a) -12 (b) 0.4 (c) 1018 (d) 2/11 (e) 0.03 b Which is the third smallest value? (a) -1 (b) -17475 (c) -89 a What is the third biggest value in 0.2, 2/19, 1/4, 4, -0.2? 0.2 Which is the third smallest value? (a) -0.2 (b) 3 (c) -5 (d) 32 (e) 4/15 (f) -0.1 f Which is the third smallest value? (a) -5 (b) 1 (c) -1.1 (d) 7 b Which is the smallest value? (a) 1/11 (b) -4/2475 (c) 1.5 b What is the smallest value in 14, -6, 77, -2/15, -0.4? -6 What is the second biggest value in 29/13, 17, -1? 29/13 What is the third smallest value in -0.053, -5, -1.6, -13? -1.6 What is the second biggest value in -60, 44, 4/5? 4/5 What is the third biggest value in 0, 5, 2421/5, -0.6? 0 What is the biggest value in -8.1, -85, -0.07? -0.07 What is the fourth smallest value in 1/2, 16, 12.4, 2, 0.2? 12.4 Which is the second smallest value? (a) 11 (b) -6/11 (c) 2 (d) 252 (e) -1 b Which is the fifth biggest value? (a) 0.06 (b) 1/7 (c) 5 (d) -63 (e) -0.2 d What is the smallest value in -0.1401, -2, -0.5? -2 What is the third biggest value in -2553, 0.098, -1? -2553 What is the fourth biggest value in 0.5, 70.1, 0.066, 3? 0.066 Which is the smallest value? (a) 194 (b) -0.04 (c) -16 c What is the smallest value in 2/19, 4, 5, 0.020561, 2? 0.020561 Which is the third smallest value? (a) 2 (b) 1/6 (c) -3 (d) 0.26 (e) 0.01 b What is the smallest value in -2/5383, -1/8, -4? -4 What is the fourth biggest value in 2/41, -3975, 2, -1/2? -3975 What is the fourth biggest value in 3/8, -16, -54/5, 5, -1? -54/5 Which is the third biggest value? (a) -3 (b) -4 (c) -5 (d) 3 (e) -1207 (f) -0.1 a What is the third biggest value in -15, 0.05, 3, -2, -103, 5? 0.05 Which is the second smallest value? (a) 31 (b) -0.5 (c) -17/3 (d) 2 b Which is the second smallest value? (a) -2/15 (b) 0 (c) 0.37 (d) -224 a What is the third smallest value in -2/321, 0.5, 2.2? 2.2 Which is the fourth smallest value? (a) 85 (b) -4 (c) 3 (d) 0.2 (e) -0.3 (f) -0.4 d Which is the fourth smallest value? (a) 4 (b) -6 (c) 29/4 (d) -5 (e) -0.16 (f) -1/4 e What is the second biggest value in 3, 1, 109, -0.4, -5, -1? 3 Which is the third smallest value? (a) 8 (b) 32 (c) -1980 b Which is the smallest value? (a) 1.7 (b) 0.04 (c) -22.71 c Which is the biggest value? (a) 1/9 (b) 0.004 (c) 107 (d) -2/5 (e) 2 c Which is the second smallest value? (a) 12/11 (b) 4 (c) 22/3 (d) -4 a What is the third biggest value in -466, -9, -3/2, -3/5? -9 What is the fourth biggest value in -0.3, 23, -2/17, 2/13, -1, 0.4? -2/17 Which is the biggest value? (a) -105568 (b) -9 (c) 1/2 c Which is the third smallest value? (a) -1.5 (b) 13.6 (c) -4 (d) 0 d What is the biggest value in 9.9, 0, 2/3, 1/12, 4, 0.02? 9.9 What is the smallest value in -1, 125.3, -282? -282 Which is the fifth biggest value? (a) -3/124 (b) -4 (c) 0.06 (d) -1 (e) 0.03 b Which is the smallest value? (a) 0 (b) -268 (c) 2/25 b Which is the fifth biggest value? (a) 0 (b) -7 (c) 2/15 (d) 1/33 (e) -1 b What is the smallest value in -11, -1/6, -84? -84 Which is the third smallest value? (a) 2560/3 (b) 3 (c) 0.2 (d) 1/2 b Which is the sixth biggest value? (a) -4 (b) -1 (c) -2 (d) 3845 (e) 4 (f) 2 a Which is the biggest value? (a) -1 (b) 276 (c) 2/23 (d) 1 (e) 0.5 b What is the second biggest value in -3, -6, 0.1, 1, 25/4? 1 What is the fourth smallest value in 2.5, 5, -2, -0.05? 5 What is the
{ "pile_set_name": "DM Mathematics" }
3 e Which is the biggest value? (a) -2/3 (b) -7 (c) -0.1317 (d) 5/3 d Which is the biggest value? (a) -7552342 (b) 5 (c) -1 b What is the second smallest value in -18, -0.04, -2/5, 191, -0.5, -0.9, -0.1? -0.9 What is the sixth biggest value in 1.56, 2, 1, -0.5, 1/2, -1/9? -0.5 Which is the fourth biggest value? (a) 1/6 (b) 1 (c) -2/69 (d) 2 (e) 174 a What is the second biggest value in -0.5, 12960.56, 2? 2 Which is the second smallest value? (a) -13/27210 (b) 13 (c) -3 a What is the sixth biggest value in -1, 2/21, 1, 3, 1/4, -182.3, 1.1? -1 Which is the fifth biggest value? (a) 0.28 (b) 3/8 (c) 0.16 (d) -0.4 (e) 107/7 (f) -0.3 f What is the fifth smallest value in -2, 2, -0.8, 0, -0.2, 1/3, 3124/3? 1/3 What is the second smallest value in -0.3, -3, -8/1969, -2, -0.15? -2 Which is the biggest value? (a) 0.4 (b) 2/13 (c) 0.0047 (d) -1/6 (e) 2.09 (f) 4 f Which is the seventh biggest value? (a) 1/4 (b) -4 (c) 2/4575 (d) 2/5 (e) -0.3 (f) 19 (g) -4/5 b Which is the third smallest value? (a) -0.2 (b) 29/9 (c) -0.04 (d) -38 (e) -2 (f) 0 (g) -1/7 a Which is the third smallest value? (a) 3 (b) -2467487 (c) -0.05 a What is the smallest value in 5, -38, -2, 16, 14, -14? -38 What is the third biggest value in -2, -1017/2, -0.5, -11.47? -11.47 What is the second smallest value in 2, -1/24, 0.1062691? 0.1062691 What is the sixth smallest value in 1528, 4, -4, 0.03, 2/3, -2/15? 1528 Which is the third smallest value? (a) 195 (b) -5/9 (c) -977 a What is the biggest value in 2, 1137, -1.22, 3? 1137 What is the second biggest value in -0.013, -211.1, 40? -0.013 What is the sixth biggest value in 6, 7, 1/11, -10/9, 2/11, 4, 0.03? 0.03 What is the second smallest value in -2/531, -52/21, -0.4? -0.4 Which is the third biggest value? (a) 0.2 (b) 3 (c) -2 (d) -160 (e) -3 (f) 38/7 a What is the fourth biggest value in 8, 0.1, -140, -0.3, -7? -7 What is the third smallest value in 0.01, -2/3, 90, 0, 4, -2? 0 Which is the third biggest value? (a) 0.29 (b) 0.3 (c) -2 (d) -153 (e) 1/5 e What is the second biggest value in -953/2, 7.3, 2, -1/3? 2 Which is the third smallest value? (a) 0.2 (b) 0.0042 (c) -395 (d) 1/3 (e) 1/2 a What is the third biggest value in -5, 2.9377, -2, -0.06, 2/17? -0.06 Which is the third biggest value? (a) 998 (b) -367 (c) -0.4 (d) -8 d What is the fourth smallest value in -0.4, -84550, 3, 1.7, -2? 1.7 Which is the second smallest value? (a) -0.2 (b) -4560 (c) -2/3 (d) 2/5 (e) 5 (f) -2/253 c What is the fifth biggest value in -0.2, 3/4, -9, -2731/5, -2/25? -2731/5 Which is the second biggest value? (a) 0.14 (b) -3 (c) 238 (d) -27 (e) 1 e Which is the third biggest value? (a) -5 (b) -10 (c) 5 (d) 2 (e) -1 (f) 222 (g) 157 c Which is the second biggest value? (a) 164.69 (b) -0.777 (c) 0.2 c Which is the third smallest value? (a) -0.04 (b) 34.75 (c) 44 (d) 1/10 b What is the fourth smallest value in 47/9, 1/5, -4, -11/215? 47/9 Which is the fifth smallest value? (a) 11745 (b) 3 (c) 0.1627 (d) 1 (e) 2/7 a What is the third biggest value in -27/5, -3/2, -0.4, -0.3, 1455, 1? -0.3 What is the fourth biggest value in 2/159, -7.4, -0.1, -1/5? -7.4 Which is the fourth biggest value? (a) 2/5 (b) 5 (c) -26/3 (d) -1 (e) -5 (f) 6 (g) 11 a Which is the fifth biggest value? (a) -0.01 (b) -0.3 (c) 2/7 (d) -3 (e) 239 (f) 0.11 (g) 24 a Which is the fifth biggest value? (a) -6 (b) -2.9 (c) 2/7 (d) 15/2131 (e) 5/2 a Which is the second smallest value? (a) 0 (b) -225 (c) -2/11 (d) 8/7 (e) 0.3 (f) -154 f Which is the smallest value? (a) -0.1 (b) -1 (c) -0.13 (d) -1072 (e) -0.5 (f) -0.15 d Which is the third smallest value? (a) 105 (b) -34/231 (c) 0.4 (d) 2 (e) -2 c What is the seventh smallest value in -1, -0.1, 1, 2/5, -121, -0.03, -700.8? 1 What is the third smallest value in 82, -1/3, 1/4, -0.1, -5, 1/5, 31? -0.1 What is the fifth smallest value in 0.3, 5, -4.6, -3, -469? 5 Which is the smallest value? (a) 1.6 (b) 56 (c) 1/3 (d) 3 (e) -2 (f) 145 e What is the sixth smallest value in -3/5, 1/4, 2/9, -7079/6, -19, -5, -4? 2/9 Which is the smallest value? (a) -6 (b) -2.92 (c) 2/57 (d) 52.4 (e) -4 a Which is the smallest value? (a) -0.1 (b) -198 (c) 12/5 (d) -3 (e) 18 b What is the sixth smallest value in -87, 2/9, 10, 0.04, -13, -4? 10 Which is the third smallest value? (a) 208 (b) 345 (c) 99 b What is the smallest value in 3/32, 0.822, 1, 7, -4? -4 What is the second smallest value in 3/7, 0.04, -265914, -0.6, -4? -4 Which is the second smallest value? (a) 4 (b) 1/2 (c) -4 (d) 229 (e) 1 (f) -46 c What is the smallest value in -1, -0.0087, 10/9, 3/935? -1 Which is the smallest value? (a) 2/19 (b) -4 (c) -3 (d) 239 (e) -0.3 (f) 1/30 (g) -5 g What is the biggest value in 1/4, 7, 10077154? 10077154 What is the biggest value in -92263, -1/4, 4? 4 What is the fourth biggest value in -4, 46, -2, 26653? -4 What is the second smallest value in 1/4, -0.08436, -1/53? -1/53 What is the fourth biggest value in -4, 1089, -17762, 5/6? -17762 Which is the fourth biggest value? (a) -0.1705 (b) 95.7 (c) 3 (d) 5/3 a Which is the fourth smallest value? (a) -23 (b) 421 (c) 0.5 (d) 1/4 b What is the third biggest value in 3/7, -7, -5/4, 3194? -5/4 What is the second biggest value in -2, 0, 2.1, -1217, 2, -2/7? 2 Which is the fourth smallest value? (a) 0.5 (b) 228 (c) 0.1 (d) -3/7 (e) 4 (f) -0.04 (g) 1/7 g Which is the second biggest value? (a) -26/17 (b) 13964 (c) 4 (d) 0.3 c What is the third biggest value in 1/6, 4, -8125.462? -8125.462 Which is the biggest value? (a) 54.59 (b) 2 (c) 0 (d) -3.3 a Which is the fifth smallest value? (a) 21 (b) 3 (c) 29 (d) -16/9 (e) 0.13 c What is the third smallest value in -0.5811, -45, 83/9, 2? 2 Which is the smallest value? (a) -2508/223 (b) -0.4 (c) -2/7 a Which is the fourth biggest value? (a) 3/2 (b) -2/1857 (c) 1 (d) -2/3 (e) 5 (f) 47.6 c What is the smallest value in 5, 4636/7, 3/100, 2, -2, 0.5? -2 Which is the smallest value? (a) -188006 (b) 15 (c) -0.1 (d) 0.2 a What is the biggest value in 19/9, -3/7, 758, -2, 2? 758 Which is the third biggest value? (a) 9 (b) -3/13 (c) -0.81 (d) -1.486 c What is the third smallest value in -3, -1/5, -13/25, -5, -190? -3 Which is the third biggest value? (a) -3 (b) 2 (c) 2/17 (d) -1.89 (e) -5 (f) 9 c What is the smallest value in 2, 18, 51880? 2 Which is the second smallest value? (a) -4 (b) 2/5 (c) 3 (d) -0.3 (e) 1444 (f) -9 a Which is the sixth biggest value? (a) -65 (b) 2/7 (c) 52.6 (d) -4/9 (e) -0.5 (f) -3 a Which is the third smallest value? (a) 15 (b) -4 (c) 2 (d) -0.4 (e) 3.544 (f) -1/4 f Which is the second smallest value? (a) 11 (b) -2/7 (c) 5 (d) 109360 (e) 1 e What is the third biggest value in -581356.3, 4, -2? -581356.3 Which is the second smallest value? (a) -61.77 (b) -0.4 (c) -6 (d) 0.0255 c What is the second biggest value in -527/516, 2/15, -77, 1, 2? 1 What is the third biggest value in 1.8, -2, -180, 0.191, -0.4? -0.4 Which is the third smallest value? (a) -36843 (b) 6/37 (c) -0.2 b What is the fourth smallest value in 24, -3, 2/15, -459.25, -2/7, 0.03? 0.03 Which is the fourth biggest value? (a) -0.1 (b) 0.1 (c) 4 (d) -7926/7 d What is the fourth biggest value in -2/149, 7, -3/7, -785? -785 Which is the second biggest value? (a) -3 (b) 29048 (c) -6 (d) -134 a Which is the fourth smallest value? (a) -166/3 (b) -22 (c) -2/19 (d) -3 (e) -367 (f) -2/5 d What is the second smallest value in 0.1, -4, 23, 14, -1/3, 2, -3/62? -1/3 What is the third smallest value in -4, 15/11, 16, -154, -4/7? -4/7 What is the third smallest value in -0.5, -0.06, 0.091, -24, -0.07, -1, 2/5? -0.5 Which is the fourth smallest value? (a) 17 (b) -3 (c) 0.3 (d) 94921 (e) -1 a What is the smallest value in 1/3, 5, -6, -196817? -196817 Which is the third biggest value? (a) -0.1 (b) -1.9 (c) 31/80948 b Which is the fourth smallest value? (a) -172/29 (b) 10 (c) 1/3 (d) -1018 b What is the second smallest value in 5/33, -0.4, 1668, 0.5, -25? -0.4 Which is the second smallest value? (a) 0.42041 (b) 1020 (c) 2/21 a Which is the fifth smallest value? (
{ "pile_set_name": "DM Mathematics" }
61356074 -44345989 times 0.25 -11086497.25 -1.8*419424 -754963.2 Calculate -51864.64*-0.036. 1867.12704 Product of 140.929 and 431. 60740.399 Multiply 149483787 and -0.3. -44845136.1 0.2784 * -5.88 -1.636992 3656.72 times -0.3 -1097.016 Multiply -2 and 22600.684. -45201.368 What is -3 times -0.267082? 0.801246 Multiply -177 and -0.0254982. 4.5131814 Work out 156995 * -0.068. -10675.66 Work out 0 * 12855950. 0 What is 17537 times -14.8? -259547.6 6.271358*89 558.150862 -3 times -108.269565 324.808695 Work out 6483990 * -0.04. -259359.6 -726*49.2 -35719.2 What is the product of 71618.6 and 1.6? 114589.76 Product of 1.513454 and 1173. 1775.281542 -0.7 times 242223.7 -169556.59 Product of -2 and 265014.677. -530029.354 -2.773 * -15.0404 41.7070292 -61195 * -133 8138935 -35 times 274900 -9621500 Calculate 0.2041*-3918.42. -799.749522 Product of 3.92 and -587225. -2301922 What is the product of 3097197 and -31? -96013107 -0.88*24266 -21354.08 18664 times 368 6868352 What is 5589 times 31.6? 176612.4 What is the product of -8 and -3212297? 25698376 Multiply 0.0764308 and 33. 2.5222164 What is the product of 308 and -641746? -197657768 Product of 52677 and 171. 9007767 Calculate 0.26*-2697301. -701298.26 Product of 0.2 and 2216215. 443243 -4.734355*-0.4 1.893742 What is the product of 3000 and 5.417? 16251 0.1276 * 134.6 17.17496 Calculate 2203.5802*0.4. 881.43208 What is -2958 times 464.4? -1373695.2 What is 2 times 867632? 1735264 Calculate 4693.32*-28.6. -134228.952 What is the product of 0.4 and -651.09213? -260.436852 Work out 3 * -3164565. -9493695 Work out -1.985 * -3766. 7475.51 Calculate -18988340*-0.01. 189883.4 Calculate -6363.8*2575. -16386785 Product of 10131 and -97.3. -985746.3 -34053971 * 2 -68107942 -0.26 * -865432 225012.32 What is the product of 2374.9082 and 0.1? 237.49082 7 * -406017.9 -2842125.3 What is the product of 0.04516 and 74? 3.34184 What is the product of -178227978 and -0.2? 35645595.6 Product of 0.2 and 102681616. 20536323.2 What is the product of -18.47234 and 0? 0 Product of 46 and -17.42828. -801.70088 Work out -21.345 * -79. 1686.255 7135716*0.3 2140714.8 What is the product of 72.378 and -4.7? -340.1766 Product of -0.1 and 2489706. -248970.6 -0.0164 times 216.234 -3.5462376 Multiply 0.872897 and -1.4. -1.2220558 Multiply -0.9 and 110.393308. -99.3539772 14752 times 242.95 3583998.4 Product of 185946 and -0.118. -21941.628 Product of 0.6977 and -906. -632.1162 2204 times -41532 -91536528 82431 * 1082 89190342 -10 * -0.0695 0.695 4941373*-0.38 -1877721.74 878.0095*-3 -2634.0285 Multiply -64471656 and 0.1. -6447165.6 Work out -0.008 * -360097.2. 2880.7776 Multiply 0.5300512 and 1.3. 0.68906656 27.888*-12301 -343050.288 Work out 2097975 * -36.8. -77205480 What is -70475.04 times 3? -211425.12 Product of -0.4 and 1093.3695. -437.3478 Product of 4298913 and 0.1. 429891.3 -1444268*-0.1 144426.8 -1344 * 305.811 -411009.984 Calculate -2906977*6. -17441862 Product of -0.7 and -724018. 506812.6 What is the product of -48107675 and 0.4? -19243070 Work out -87 * 48330. -4204710 Multiply 69 and -22505.6. -1552886.4 -5.57 times -54695 304651.15 Multiply 0.1024644 and 3. 0.3073932 What is the product of -67547 and 242? -16346374 0.212 times -692148 -146735.376 What is 646.06305 times 0? 0 0.1*18295282 1829528.2 56087587 * -14 -785226218 69 * 55895.3 3856775.7 What is the product of -166979542 and -4? 667918168 Product of 517 and -0.197. -101.849 Work out -2362385 * 0.23. -543348.55 Work out 0.2 * 5847477. 1169495.4 What is -1746.6 times -489? 854087.4 Multiply -0.0041 and -8111.5. 33.25715 Work out 0.8 * -0.1881982. -0.15055856 Product of -1489259.6 and -1.3. 1936037.48 Product of -41700190 and 0. 0 -128059062 times -0.3 38417718.6 Multiply 72243 and 0.66. 47680.38 -561293 * 0.2 -112258.6 5.9*-178863 -1055291.7 Calculate -164325*260. -42724500 Product of -5.0895 and 871. -4432.9545 What is the product of 8 and 0.8923305? 7.138644 What is -2.018 times -281200? 567461.6 1.6 times -22688762 -36302019.2 What is the product of 0.1 and 63.5133? 6.35133 What is -2028 times -244746? 496344888 Product of -51.7 and 99723. -5155679.1 Product of 0.66963 and -10764. -7207.89732 What is the product of 1.1 and -0.14744103? -0.162185133 What is the product of -7258 and 7516? -54551128 What is the product of -532.68 and -0.762? 405.90216 What is 16 times 47.51561? 760.24976 Multiply 0.1649 and 7.6. 1.25324 Work out -818.1523 * 5. -4090.7615 106.98936 * -5 -534.9468 Multiply 156 and -124611. -19439316 46367117*4 185468468 Work out 0.169 * -7154278. -1209072.982 -76714600 times 0.1 -7671460 Work out 488.01296 * -0.3. -146.403888 Calculate -398789806*-0.4. 159515922.4 Calculate 560*3843.58. 2152404.8 -142569132*-1 142569132 Product of -0.00922 and -0.206822. 0.00190689884 -177 times 13892 -2458884 0.7*-0.1386 -0.09702 What is the product of 0.97113 and -25? -24.27825 Product of -37.7 and 1.1195. -42.20515 510 times -1.227 -625.77 6 * 0.84957 5.09742 3181189.4 * -0.3 -954356.82 Multiply -1.38 and -7.49748. 10.3465224 Work out 2.61483 * 1. 2.61483 Calculate 0.3*2410.777. 723.2331 Calculate -2169*-6.698. 14527.962 What is -1199945 times 2.6? -3119857 Work out 0.16937067 * -7.1. -1.202531757 What is the product of 965158.14 and -2? -1930316.28 Work out -9.2 * -20.83249. 191.658908 Multiply -5467460 and 16. -87479360 Multiply 240.26 and 1120. 269091.2 What is 1693042.25 times 0.1? 169304.225 Multiply 2.664095 and -16. -42.62552 Calculate -0.536876*-28.4. 15.2472784 -2587.032 * 3 -7761.096 What is the product of 293301 and 4.7? 1378514.7 What is 11412 times 0.22446? 2561.53752 Multiply 3042181 and -19. -57801439 Product of -0.6 and -8104514. 4862708.4 Multiply -7785 and 0.705. -5488.425 Product of -0.5 and 13720932. -6860466 0*-148.66903 0 Calculate -0.04*-443.8. 17.752 -4.2 times 195555 -821331 What is the product of -1114 and -0.076511? 85.233254 What is the product of 2154724 and -0.2? -430944.8 Multiply 23803601 and 1.2. 28564321.2 Product of 239 and 2387. 570493 -16177616 times 2 -32355232 Calculate -4*134.134. -536.536 Calculate 736.56*-71. -52295.76 Multiply -5341.2 and 229.8. -1227407.76 Product of 0 and 5718163. 0 What is 0.02 times -34448866? -688977.32 Product of 392816 and 0.13. 51066.08 Work out 1734939 * -0.258. -447614.262 48.5 * 21.7241 1053.61885 Multiply -31974144 and -0.3. 9592243.2 Multiply 2593.3 and -2439. -6325058.7 Multiply 5 and -13347899. -66739495 Calculate 25614143*4. 102456572 What is the product of 374.869 and 0.044? 16.494236 Calculate -0.00694*2.7283. -0.018934402 Multiply 0.4288 and -11032. -4730.5216 Multiply -0.06 and 3359465. -201567.9 What is -2.2 times -2.4526507? 5.39583154 Product of -4 and 53.43351. -213.73404 What is 0.3 times 0.58364685? 0.175094055 Product of -2830860.74 and -1. 2830860.74 -244 * 36329 -8864276 121 times 2508303 303504663 What is -8 times 22953370? -183626960 -427269*1.8 -769084.2 1 * -25360397 -25360397 -4 * -4.640566 18.562264 Product of -10.0352 and -592. 5940.8384 0.102841 * 0.057 0.005861937 Multiply 38001658 and -2. -76003316 -42 times -100818 4234356 Work out 2 * 10824447.1. 21648894.2 Product of 39256504 and -0.4. -15702601.6 Calculate -3035821*23. -69823883 -4*3357490 -13429960 What is 18.54 times -0.05971? -1.1070234 14376*1234 17739984 What is the product of 7 and -2391201? -16738407 Work out 183 * 4426.3. 810012.9 What is the product of -11574 and -534? 6180516 Multiply 8.2 and -3.90998. -32.061836 -2.93 * 230677 -675883.61 Work out -0.095 * -0.237507. 0.022563165 Product of 17853 and 0.163. 2910.039 Multiply 4 and 1708.382. 6833.528 What is 0.2966 times -6876? -2039.4216 What is the product of 1463 and -0.02198? -32.15674 Calculate -474213.34*0.4. -189685.336 What is the product of 0.273 and 0.041238? 0.011257974 Work out -0.7 * 84551.77. -59186.239 0.06 * 29292207 1757532.42 20*857348 17146960 10758 times 3001 32284758 What is the product of 2 and 5882518? 11765036 What is -364087 times 0.017? -6189.479 -16.6 times 0.14822 -2.460452 54404*803 43686412 What is -93 times -0.0696? 6.4728 What is the product of 2277 and 275? 626175 Multiply -0.1 and 23843116. -2384311.6 Work out 15930974 * -0.06. -955858.44 Product of -0.03531 and -7099. 250.66569 Calculate -14*6799. -95186 Produc
{ "pile_set_name": "DM Mathematics" }
What is the nearest to 0.2 in 2/13, 5, 0.017? 2/13 Which is the closest to -0.1? (a) 1/2 (b) 0.3 (c) -0.094 c Which is the closest to 1? (a) -2/9 (b) 2/3 (c) 0.5 (d) 0.04 b Which is the closest to 1? (a) 2.4 (b) 2.8 (c) 2/15 (d) 1/4 d What is the nearest to 14 in 1/2, -1, 0, -0.4? 1/2 What is the closest to -2/5 in 3/2, -0.05, 0.1, -0.3? -0.3 Which is the closest to 11? (a) 3 (b) -2 (c) -0.4 (d) -3/5 a What is the nearest to -0.056 in 0, -0.5, -2/5? 0 What is the closest to 4 in 2/11, 2/7, 0? 2/7 Which is the closest to -1? (a) -4 (b) 1 (c) 4 (d) 2/15 d What is the closest to 0.1 in -14/9, 1/5, -55, -3? 1/5 Which is the nearest to -0.1? (a) -2/75 (b) 3 (c) 0 (d) 1 a Which is the nearest to 0.2? (a) -3 (b) 6 (c) -2/17 c What is the nearest to 0 in -0.07, 3/7, -2/7, 0.4? -0.07 Which is the nearest to 5? (a) -0.4 (b) -0.5 (c) 8 (d) -5 c What is the closest to 1 in -12, -4, -1/2? -1/2 Which is the closest to -0.49? (a) 1/4 (b) 3 (c) 0.3 a What is the closest to 4/3 in -2/13, 2/21, 45? 2/21 What is the closest to 4/7 in 0, -2/9, -0.2? 0 What is the closest to -0.2 in 47/3, 3, -1, -4? -1 Which is the nearest to 0.1? (a) 0.2 (b) -1/3 (c) 1 (d) -9 a What is the nearest to 0 in -3, -0.23, 0.2? 0.2 What is the closest to 1/4 in -1/3, 6, 126, 1? -1/3 Which is the closest to 0.1? (a) -2/9 (b) 0.5 (c) 14 (d) 0.1 d What is the closest to 2/3 in -5, -2, -207, 3/4? 3/4 Which is the closest to 2/11? (a) 0.5 (b) -0.4 (c) 20 a What is the nearest to 1 in -2, 1, -11, 2/7? 1 What is the closest to 6 in -11, 2, 0.2? 2 Which is the nearest to 1/2? (a) -3 (b) -0.3 (c) -2/7 (d) -0.5 c What is the nearest to 0.06 in 0.3, -3, 0.4, 1? 0.3 What is the nearest to -0.7 in 0.4, -2/3, 0.21, -0.5? -2/3 Which is the nearest to -1.8? (a) -1/3 (b) -2 (c) 2/3 b Which is the nearest to 10? (a) 1 (b) -3 (c) 0.46 a What is the closest to 0.2 in -0.74, -4, 4? -0.74 What is the nearest to 4 in 3/8, 0.3, -0.06? 3/8 Which is the nearest to -2/9? (a) -2 (b) -12 (c) -0.1 c Which is the nearest to 0.2? (a) -1 (b) 5/7 (c) 3 (d) -4 b What is the nearest to 0 in -13, 1, -97? 1 Which is the nearest to 46? (a) 3/4 (b) 4 (c) 1/3 b What is the nearest to 1490 in 4, 1, -1/5, 2/17? 4 Which is the nearest to 1/4? (a) 1/4 (b) 2/25 (c) -3/2 (d) -0.3 a What is the nearest to 7.1 in -29, 0.2, -2/7? 0.2 What is the closest to 0 in 4/9, 0, -0.5, -0.3? 0 Which is the nearest to 0.1? (a) -5 (b) 1/2 (c) 2/11 c What is the nearest to 8 in -2/7, 0.3, -30? 0.3 What is the nearest to 897 in -0.1, -1/2, -2/5, -5? -0.1 Which is the nearest to 0? (a) -3.462 (b) -5 (c) 0.3 c Which is the closest to -3/7? (a) -4 (b) 3/2 (c) -1 c What is the closest to 15 in 2/3, -3, 8? 8 Which is the closest to 6? (a) 0.5 (b) 0.03 (c) -2 (d) -4 a Which is the closest to -0.2? (a) -5 (b) 3 (c) -1.5 c Which is the nearest to 3/107? (a) -0.1 (b) 0 (c) 1 (d) -3/11 b Which is the nearest to 8? (a) -4 (b) -1/4 (c) -2/3 (d) 0.3 d What is the nearest to -1/3 in 1, -0.3, -2, -5? -0.3 What is the nearest to 3 in 38, 1, -0.1, 2? 2 What is the nearest to 4 in -25, 2, 0.5? 2 Which is the closest to 4? (a) 0.1 (b) -4 (c) 3 c What is the nearest to 0.1 in -1, 4, 133? -1 Which is the nearest to 1? (a) 1/3 (b) 0.22 (c) 9 a Which is the closest to 1/2? (a) 0.03 (b) 2 (c) -0.2 (d) -0.06 a What is the closest to 2 in 1, 4, 0.2, -4/7? 1 Which is the closest to 1.4? (a) 1 (b) 12 (c) -3 (d) 3 a What is the nearest to -0.1 in -0.2, -0.047, 1/4, 33? -0.047 Which is the closest to -551/7? (a) 3 (b) -5 (c) -0.1 b Which is the closest to 0? (a) 4 (b) -1 (c) 2/15 (d) -0.1 d Which is the nearest to -0.3? (a) 2 (b) -10.21 (c) 3 a What is the closest to 998 in -1, 0.4, -7? 0.4 Which is the nearest to -7? (a) 0.06 (b) -0.2 (c) 0.4 b What is the closest to 1 in 3/4, 2/5, 9, 1? 1 Which is the closest to 0? (a) 21 (b) -0.1 (c) 1 b Which is the closest to 0.2? (a) 0.851 (b) 4 (c) 0 (d) -0.3 c What is the closest to 0.1 in 0, -218, -8? 0 Which is the nearest to -1/45? (a) -2/5 (b) -1/2 (c) -2 (d) -1/10 d Which is the nearest to 1? (a) -33 (b) -0.1 (c) -2 (d) -0.2 b Which is the closest to -1? (a) 5 (b) -3 (c) 2 (d) 4/3 b Which is the closest to -2/5? (a) -2/7 (b) 1 (c) 1/6 (d) -154 a What is the closest to 22 in -4.8, -1/4, -5, 2? 2 Which is the nearest to 2/5? (a) 0.4 (b) -2 (c) 4 (d) -2/9 a Which is the closest to -2/3? (a) -3 (b) 0.02 (c) -0.5 (d) 3/4 c What is the closest to 2/9 in -55, 4, -0.5, -2/5? -2/5 What is the closest to 0 in 5, 6, -20? 5 Which is the closest to 7? (a) 7 (b) -6 (c) 3/2 a What is the closest to -10 in 4, 0.5, -75, 0.1? 0.1 What is the closest to 10 in -0.2, -83, -2/7? -0.2 Which is the nearest to 5? (a) -2/25 (b) -3 (c) -1 (d) -1/8 a Which is the nearest to 0.1? (a) 0.01 (b) 4 (c) -3/4 (d) -3 a What is the nearest to -1 in -0.5, 0.1, 125/6? -0.5 What is the nearest to -0.2 in -2, -1/7, -9? -1/7 Which is the closest to 1? (a) 3 (b) 2 (c) 0.4 (d) 6 c What is the nearest to -14/11 in 0, 1/2, -5, -1/5? -1/5 What is the nearest to -1 in 5, 12, -54, -3/7? -3/7 What is the closest to -1/3 in -3/7, 1, -152? -3/7 Which is the closest to 2/9? (a) -3 (b) 4 (c) 9 (d) -1 d What is the closest to 0.1 in -4/5, 35, 0, -1? 0 Which is the closest to -2? (a) -1/2 (b) 0.1 (c) -38 (d) -2/5 a Which is the nearest to -2? (a) -4 (b) 11 (c) -18 a Which is the nearest to 1? (a) -1/4 (b) 0.1 (c) 2/33 (d) 8 b What is the nearest to -3 in 1/4, 5, -0.005? -0.005 What is the closest to -9 in -4, -5, 4, -1.2? -5 What is the closest to 2/3 in -0.045, 0.4, -0.4, -3/2? 0.4 What is the nearest to -5 in 1, 0.26, -2/17? -2/17 What is the nearest to 1/2 in 1, -0.04, -14? 1 What is the closest to 2/9 in -2, -1/7, 3/2, 3? -1/7 What is the nearest to -2/7 in 4, 1/3, -1/232? -1/232 What is the closest to -2/5 in 2, 9, 25? 2 Which is the nearest to 0? (a) -0.02 (b) 0 (c) -2/7 (d) 10 b What is the nearest to 0 in 0.4, -2, -3, -0.2? -0.2 What is the closest to -5/8 in -5, -3/5, -0.04? -3/5 What is the closest to -8 in 2/3, -0.5, 1? -0.5 Which is the nearest to -0.2? (a) 2 (b) -12/23 (c) -1 b Which is the closest to 2/5? (a) -0.3 (b) 0.2 (c) 5 (d) 2 b Which is the nearest to -3/2? (a) -4 (b) 0.04 (c) 3 b What is the closest to 1 in 3/7, 38, 2, 0.1? 3/7 What is the closest to 1 in -2/5, 4, 0.1, -0.19? 0.1 Which is the nearest to 0? (a) -4 (b) 2 (c) -2/271 c Which is the closest to -3? (a) 5 (b) 2 (c) 5/14 (d) 2/19 d What is the closest to -0.2 in 5/2, 0, 35, 4? 0 What is the closest to 3 in -2, -3/2, 16, 2/21? 2/21 Which is the nearest to 2/7? (a) -1 (b) 9.9 (c) 4 (d) 1 d What is the nearest to 0.1 in -1/9, 6, 5? -1/9 Which is the nearest to 0.1? (a) 1.9 (b) 0 (c) 1 b Which is the nearest to -1? (a) 1/4 (b) -1/3 (c) -31 b Which is the nearest to -0.1? (a) -1/41 (b) 53 (c) 2 a Which is the closest to -2/15? (a) -0.5 (b) 1 (c) -0.3 c What is the nearest to 1.2 in -90, -0.4, 0.1? 0.1 Which is the closest to -2/7? (a) -5/7 (b) -5.4 (c) -5 a What is the closest to -1 in 1, -2/5, 2? -2/5 Which is the nearest to 1? (a) 4 (b) -0.011 (c) -0.2 b Which is the nearest to 12? (a) 0.1 (b) 0.5 (c) 2/9 b What is the closest to 0 in 23, 2, 3, -0.1? -0.1 What is the closest to 23 in 3, 0.1, -4, 1/2? 3 Which is the nearest to 2/7? (a) -5 (b) 170.8 (c) 0.3 c What is the nearest to 2/3 in 2/3, -1, 36? 2/3 Which is the closest to 0.1? (a) 8 (b) 0.3 (c) 0 (d) 0.04 d What is the closest to 3 in 1/25, 1/4, 13, 0.4? 0.4 Which is the closest to -8/9? (a) -0.3 (b) -1/2 (c) -0.2 b What is the nearest to -12 in -0.06, -3/5, 5? -3/5 Which is the nearest to 4? (a) -4 (b) 39 (c) 0 c What is the nearest to 3 in 1/3, 1/4, 2/19? 1/3 Which is the nearest to 1? (a) -0.06 (b) -1 (c) 14/5 a Which is the closest to -0.1? (a) -3 (b) -13 (c) -2/9 (d) -0.2 d What is the closest to 0.1 in -3, 0.2, -2.8, 4? 0.2 Which is the nearest to -0.1? (a) 3/22 (b) 13 (c) 0.4 a What is the nearest to -79 in 0, -1/3, 22? -1/3 Which is the nearest to -1/3? (a) 8 (b) 3 (c) -3 c Which is the nearest to 1/4? (a) -1 (b) -0.4 (c) 4 (d) -2/17 d Which is the closest to 15? (a) 0.1 (b) -2 (c) 1 (d)
{ "pile_set_name": "DM Mathematics" }
*c(d) + 2*f(d). What is s(9)? 3 Suppose -154*h = -173*h + 57. Let c(d) = d + 7. Let x(s) = 2*s + 16. Let b(t) = h*x(t) - 5*c(t). Suppose -4*i = -2*i + 14. Determine b(i). 6 Suppose 8*z + 63 = 5*z. Let q be (-375)/(-35) - 6/z. Suppose q = -3*a - 10. Let b(r) = r**3 + 7*r**2 + r + 5. Give b(a). -2 Let c(v) = 2 + 4*v**2 - 3 - 2*v**2 + 0*v**2. Suppose 5*l - 28 = -2*l. Suppose -l*p - 2*z = -6*p + 2, -p = 2*z - 1. Determine c(p). 1 Suppose 2*v = 5*v - 6. Let w(o) = -17*o + 21*o - o**3 + 0 - 3 - 4*o**2. Determine w(v). -19 Let a(j) be the third derivative of j**6/120 - j**5/10 + 7*j**4/24 - 2*j**3 + 495*j**2 + 3*j. Give a(5). -2 Let w(f) be the third derivative of f**5/60 - f**4/8 + f**3/6 + 8*f**2 - 46*f. Let m = -4 - -6. Determine w(m). -1 Let x(w) = w**3 - 2*w**2 + 3*w - 2. Suppose 0 = -4*k - 16, -4*q - 3*k + 36 = 2*k. Suppose 0 = -21*l - 212 - 40. Let d = q + l. Determine x(d). 4 Let h = -62 - -62. Let u be h + (0 - (-7 + -1)). Let r(v) = u*v + 0*v - 9*v + 1. Determine r(-5). 6 Suppose 4*b - 48 = 17*a - 12*a, -24 = -2*b - 8*a. Let j(c) = -c**2 + 18*c - 73. Give j(b). -1 Suppose s - o - 11 = -0*s, 5*s = 4*o + 51. Suppose 4*a - 47*a + 129 = 0. Suppose -11 = -a*h - 5*m, -2*m = -s*m - 10. Let k(c) = c**2 - 7*c. Give k(h). 0 Suppose 16*l - 10*l = -6. Let o(z) = -z**3 - 6*z**2 - z - 11. Let n(k) = -1. Let q(g) = l*o(g) + 4*n(g). Calculate q(-6). 1 Let w = 274 - 282. Let g(z) = z**3 + 9*z**2 + 8*z + 3. Let q be g(w). Let c(a) = -3*a + 4. Calculate c(q). -5 Suppose 0 = 26*b - 29*b + 6. Suppose -x = -5*f - 18, -2*x + 2 = -2*f - b. Let y(o) = o**2 + 2. Give y(x). 6 Let c(q) = 2*q**3 + 2*q - 1. Let j be 4/3*6*(-35)/(-14). Suppose 2*w - g = -5, 13 = -4*w - j*g + 25*g. Determine c(w). -21 Suppose -47*k = -345 - 456 + 331. Let b(a) = -18*a + 185. What is b(k)? 5 Let v(i) = 68*i + 883. Let d be v(-13). Let u(l) = 22*l - 1. What is u(d)? -23 Let g(p) = p**3 + 5*p**2 - 4*p + 8. Let o be g(-6). Let b(f) = 4 + 2 - 12 - f. Let d be b(o). Let s(w) = -w**3 - 4*w**2 + w - 1. Give s(d). -11 Let k(d) = -13*d - 2. Let a be 200 - (-5 - (-4 - -5)). Let v = -209 + a. Determine k(v). 37 Let d = -12 - -12. Suppose d*c = 2*c - 8. Let s(v) be the first derivative of v**4/4 - 4*v**3/3 - v**2/2 + 4*v + 1665. What is s(c)? 0 Let a(y) = 5*y - 12. Suppose 5*r + 760*q - 757*q = 31, -4*r - 6 = -2*q. Determine a(r). -2 Let i(v) = -15*v**3 - 1. Let r be 51*(133/(-21))/1. Let u = r + 324. Determine i(u). -16 Let y(o) = o**3 + 24*o**2 + 42*o - 45. Let c be y(-22). Let r(u) = -34*u**2 - 2*u - 2. What is r(c)? -34 Let i(a) be the third derivative of a**7/2520 - a**6/45 + 53*a**5/12 - 45*a**2 + 1. Let j(k) be the third derivative of i(k). Calculate j(10). 4 Let y(q) = -q**3 + 7*q**2 - 7*q + 3. Let f be y(6). Let n(t) be the first derivative of -230 - 4*t + 3/2*t**2 + 5/3*t**3 + 1/4*t**4. Determine n(f). 5 Suppose w = 4*b - 169, 3*b - 2*w - 82 = 46. Suppose -o - 134 = 3*n, 0*n - 2*o = -n - 33. Let y = n + b. Let c(l) = -4*l. What is c(y)? 4 Let u = 7035 - 7030. Let i(b) = -b**3 + 4*b**2 + 7*b - 13. What is i(u)? -3 Let z(x) = -x**2 + 11*x - 2. Let j(o) = -2*o + 7. Let g be ((-27)/(-4))/(-3) - (-37)/148. Let f be j(g). Determine z(f). -2 Let j(g) be the first derivative of -48 - 3*g**2 - 1/3*g**3 - g. Suppose -27 = 3*t - 4*h, 12 = -2*t + 2*h - 4. Determine j(t). 4 Let f(v) = -v**3 - 3*v + 3. Let q be 0 + ((-8)/(-10))/((-16)/(-40)). Let c be 0 - (q + -4 + 0). Give f(c). -11 Suppose -3*w - 2*w - 165 = b, 0 = 2*w + 4*b + 48. Let v = w + 36. Let u(j) = -j + 2*j - 4*j - 3 + j**3 - 4*j**2 + 3*j**v. Determine u(-2). -9 Suppose -31 = 3*d + 4*b, -d + 5*b + 5 = -10. Let m(n) = 22*n + 115. Calculate m(d). 5 Let y = 7 + -1. Suppose 0 = -2*u - y*u - 56. Let h(n) = -n**3 - 6*n**2 + 4*n + 6. Determine h(u). 27 Let g(s) = -s**2 + 10*s. Let m be g(10). Let v = m + 0. Let x(r) = 0*r**3 - 404 + r**3 + 200 - r**2 + 207. What is x(v)? 3 Let i(y) = y**3 + 8*y**2 + 4*y + 9. Let q(r) = -2*r**3 - 12*r**2 - 8*r - 20. Let a(m) = -7*i(m) - 4*q(m). What is a(8)? 49 Let u = 6138 + -6141. Let r(j) = 8*j**2 + 24*j. Calculate r(u). 0 Let j(u) = 20*u**2 - 19*u - 28. Let c(o) = -4*o**2 + 3*o + 5. Let l(r) = -6*c(r) - j(r). Determine l(0). -2 Suppose 32*y - 30*y = -41*y. Let q be ((-18)/(-8))/((-2)/8). Let f be y/(7/q - 8/36). Let g(r) = -r**2 - r + 9. Give g(f). 9 Let w(j) = -9*j**2 - 32*j + 16. Let q be w(-4). Let h(l) be the third derivative of 4/3*l**3 + q*l + 6*l**2 + 0 + 1/8*l**4. Determine h(-6). -10 Let w = 437 - 434. Let u(h) = -30*h**3 + h**2 + h. Let c be u(-1). Suppose -4 - 11 = -5*i, -3*i = -w*y - c. Let x(n) = n + 6. Determine x(y). -1 Let p(w) = w**2 + 12*w + 16. Let y be 36/48 + (-329)/28. Calculate p(y). 5 Let u(n) be the first derivative of -2*n**2 + 16*n + 9 - 54*n + n**2 + 2*n**2. Let j(b) = -b + 20. Let v(l) = 11*j(l) + 6*u(l). Determine v(-6). -14 Let m(o) = 3*o**2 - 2*o - 9. Suppose -2*z + 21 = 13. Determine m(z). 31 Let v(b) = -b + 6. Suppose -4*c - p + 47 = 0, 3 = -3*p - 0. Suppose 16*q = c*q + 260. Let t = q + -59. Calculate v(t). 0 Let m(o) = -o**2 + 2*o + 1. Let d(q) = 157*q + 33. Let h be d(-3). Let x = 434 + h. Determine m(x). -23 Suppose -2*v - p - 3*p + 10 = 0, 2*v - 4*p - 10 = 0. Let w(b) = 2*b - 2*b - 307 + b + 308. Give w(v). 6 Suppose -5*y - 14 = -g, -5*g + 226 = -4*y + 51. Suppose -37*k + g*k = 12. Let p(v) = -v**2 + 5*v + 4. Give p(k). -2 Let x(j) = -64*j**2 - 2*j + 1. Let a = 2581 + -2580. Calculate x(a). -65 Let q(k) = 8*k - 18*k + 4*k + k + 4*k - 28. Give q(-15). -13 Suppose -3*b - b = -3*n + 5, -4*b - 25 = n. Let x(i) be the third derivative of -1/8*i**4 + 3*i**2 - 1/60*i**5 + 1/6*i**3 + 15*i + 0. Give x(b). -9 Let b(r) = -54*r + 7. Suppose 0 = -123*z - 128*z + 254*z. What is b(z)? 7 Let r(c) be the first derivative of -11*c**5/30 + c**4/24 + 8*c**2 - 4*c - 10. Let g(a) be the second derivative of r(a). What is g(-1)? -23 Let y(i) be the second derivative of -131*i - 1/12*i**4 + 2*i**2 + 4/3*i**3 + 0. Suppose 2*k - 32 = -2*k. Calculate y(k). 4 Suppose -3*u - 18 = -u. Let f be u/2*(8 - 224/24). Let t(k) = k**3 - 7*k**2 + 3*k - 9. Calculate t(f). -27 Let q(x) = 2*x**2 + 18*x + 21. Let w(n) = 74*n + 2139. Let d be w(-29). Determine q(d). -7 Let b be 35 - 31 - (-4)/(4/(-2)). Suppose -b = 4*s - 6. Let y(v) be the third derivative of -v**4/12 - v**3/6 + 15*v**2. Determine y(s). -3 Let d(n) be the first derivative of 0*n**4 - 11/3*n**3 + 0*n + 0*n**2 + 31 - 1/60*n**5. Let t(l) be the third derivative of d(l). Calculate t(-2). 4 Let q be ((-16)/12)/(-2)*9. Suppose 2*m - q*m = -16. Let s(i) be the second derivative of -i**5/20 + 5*i**4/12 - i**3/2 + i**2 - 34*i + 2. What is s(m)? 6 Let d(r) = r**3 - r**2 - r + 5. Let w be 9/((-18)/80)*126/35. Let o = w - -144. What is d(o)? 5 Let v = -126 + 121. Let m(y) be the first derivative of -y**3/3 - 11*y**2/2 - 3*y - 414. Calculate m(v). 27 Suppose -121*m + 134*m + 78 = 0. Let z(w) = -4*w + 17. Let k(c) = 5*c - 18. Let y(v) = -5*k(v) - 6*z(v). Calculate y(m). -6 Let q(y) be the second derivative of -y**3/6 + 5*y**2/2 + 6*y - 2. Suppose -4*x - 4*l + 24 = 0, 3*l = x - 1 - 5. What is q(x)? -1 Let y(q) = -q**2 + 6*q + 9. Let c be 4*(-1 + 18/8). Let a be 11 + ((-12)/2 - -7)*-3. Suppose x = c*d - 37, x + 24 - a = 2*d. Calculate y(d). 2 Let y(f) be the first derivative of f**2/2 + 5*f + 1. Let k(b) = 24*b**3 - 2*b**2 - 4*b + 5. Let j be k(1). Suppose -j*x + 41*x = -72. Calculate y(x). 1 Let o(n) = -n**2 + 4*n + 8. Let m(x) = 10*x + 17. Suppose 9*b - 21 = 3*c + 4*b, 0 = -b + 3. Let h be m(c). Let a(z) = -6*z - 11. Let v be a(h). Calculate o(v). -13 Suppose 4*r + 0*r - 24 = 0. Suppose -b = -p + r, 3*p - b = -p + 12. Suppose -p = -4*a + 2. Let w(d) = 4*d + 1. What is w(a)? 5 Let i(h) = -3*h + 49. Suppose 9*a = 12*a + 3*r - 39, 0 = -4*a + 3*r + 59. Give i(a). 7 Let j(b) = -2*b + 15*b**3 - 14*b**3 + 15 - 4*b + 8*b - 26 + 6*b**2. Let g(a) = a + 16. Let v be g(-21). Determine j(v). 4 Let o(i) = -11*i - 24. Suppose -69*x - 228 = 7*x. Determine o(x). 9 Let p(r) = 19*r - 9. Let x(w) = -2*w**2 + 125*w + 196. Let i be x(64). Give p(i). 67 Let k(o) = -2*o**2 + 12*o - 6. Let w(r) = 6 - 15 + 6 - 2*r + 9. Let j be w(-1). Determine k(j). -38 Suppose 0*v - 4*v = 0. Suppose -m + 10 - 7 = v. Let y(c) = c**3 - 3*c**2 + 3. Calculate y(m). 3 Let f be 17/((-289)/221) + 4 - (0 - 5).
{ "pile_set_name": "DM Mathematics" }
4 Let k(d) be the first derivative of d**2 - 28. Let m(a) = 2*a**2 + 16. Determine m(k(s)). 8*s**2 + 16 Let j(s) = s**2 - s**2 + s**2. Let x(f) be the third derivative of f**8/20160 - f**5/20 + 3*f**2. Let n(o) be the third derivative of x(o). Determine n(j(l)). l**4 Let v(f) be the first derivative of f**4/12 - 3*f - 2. Let b(s) be the first derivative of v(s). Let p(n) = -3*n. Determine p(b(q)). -3*q**2 Let z(a) = 27*a**2 - 15*a**2 - 7*a**2. Let i(c) = 2*c. Calculate z(i(t)). 20*t**2 Let j(k) = -10*k. Let v(s) = -2*s. Let u(c) = -3*j(c) + 14*v(c). Let w(q) = q - 1. Let g(a) = -3*a + 5. Let y(h) = -g(h) - 5*w(h). Calculate y(u(n)). -4*n Let r(q) = -3*q**2 + 10*q. Let n(z) = 16*z. What is n(r(d))? -48*d**2 + 160*d Let v(l) be the third derivative of l**5/20 - 2*l**2. Let y(m) = -2*m. What is y(v(j))? -6*j**2 Let x(u) be the third derivative of -u**4/8 - 5*u**2. Let k(y) = -y + 35. Let d(h) = 5. Let j(z) = -35*d(z) + 5*k(z). Calculate x(j(r)). 15*r Let l(u) = 43*u + 1. Let p(w) be the third derivative of w**5/60 - 20*w**2. What is p(l(h))? 1849*h**2 + 86*h + 1 Let s(m) = 3*m + 4. Let a(g) = -1. Let d(c) = -4*a(c) - s(c). Let x(l) = l. Let w(u) = -u. Let o(t) = w(t) - x(t). Calculate d(o(q)). 6*q Let k(r) = 2*r + 8. Let i(b) = b + 5. Let c(y) = 8*i(y) - 5*k(y). Let h(n) = 20*n. What is c(h(w))? -40*w Let z(t) = 2*t + 2. Let a(v) = 10*v + 11. Let c(q) = 2*a(q) - 11*z(q). Let o(g) = 30 - 30 + 3*g**2. What is c(o(u))? -6*u**2 Let c(i) = -2. Let l(j) = -2*j - 5. Let s(b) = -6*c(b) + 2*l(b). Let p(t) = t**2. Give p(s(z)). 16*z**2 - 16*z + 4 Let t(j) = 3*j**2. Let h(z) = -z**3 - 2*z**2 - 3*z - 3. Let a be h(-2). Suppose -a*r + 8 = r. Let f(k) = -2*k**r + 6 - 6. Calculate t(f(p)). 12*p**4 Let b(d) be the first derivative of -7*d**3/3 + 2. Let s(i) = -256*i + 128*i + 129*i. Determine b(s(v)). -7*v**2 Let y(g) = -7*g**2 + 37*g**2 - 5*g**2 - 16*g**2. Let m(l) = -l**2. What is y(m(q))? 9*q**4 Let q(w) = 17*w. Let g(a) be the third derivative of -a**5/12 - 19*a**2 + 1. Give g(q(h)). -1445*h**2 Let k(m) = -2*m**2 - 64*m. Let j(a) = a. What is j(k(y))? -2*y**2 - 64*y Let n(r) = -2148*r**2 - 2. Let u(g) = -4*g. Give u(n(v)). 8592*v**2 + 8 Let c(j) = -12*j - 10. Let h(i) = -i - 1. Let n(m) = -c(m) + 10*h(m). Let r(p) = p. Let b(l) = -8*l. Let u(d) = b(d) + 6*r(d). Calculate n(u(f)). -4*f Let q(m) = -2*m**2. Let g(k) = 3 + 2*k**2 - 3 + 0*k**2. Determine q(g(x)). -8*x**4 Let q(s) = 7*s + 4*s - s - 15*s. Let k(z) = -8*z**2. Give k(q(l)). -200*l**2 Let c be 8/(-6)*(-3)/2. Let f(i) = 3*i**2 + 4*i**2 - 4*i**2 - c*i**2. Let z(t) = 3*t**2. Give f(z(j)). 9*j**4 Let s(k) = -k. Suppose 0*t - 5 = 5*t, -3*t - 3 = -5*c. Let w be 1*(3 + 0) - c. Let o(f) = -3 - f + w. What is o(s(n))? n Let t(h) = -14*h - 24*h + 35*h. Let n(a) = 2*a. Let r(j) = -j. Let p(b) = 4*n(b) + 7*r(b). What is p(t(u))? -3*u Let q(x) = 3*x**2 + 2*x. Let o(u) = 23*u**2 - 14*u**2 + 26*u**2 + 25*u. Let f(r) = -2*o(r) + 25*q(r). Let y(t) = t. Give y(f(a)). 5*a**2 Let s(w) = 3*w. Let c(t) = -7*t. Let q(a) = -4*c(a) - 9*s(a). Let b(p) = -3*p**2. Determine b(q(z)). -3*z**2 Let i(u) be the first derivative of u**2 + 2. Let h(x) = 4*x**2 + 2*x**2 - 2*x**2 + 2*x**2. Calculate h(i(l)). 24*l**2 Let x(k) = 2*k**2 + 3*k. Let a(v) = -5*v**2 - 8*v. Let p(q) = 3*a(q) + 8*x(q). Let j(w) = -22*w. Calculate j(p(c)). -22*c**2 Let j(y) = -y. Suppose -3*n = b - 30, -3*n + 18 = 4*b - 12. Let z(q) = q - 10 + n. What is z(j(v))? -v Let n(h) = 1 - 3*h - 1. Let l(p) be the third derivative of -p**5/60 + p**2. Determine l(n(f)). -9*f**2 Let m(j) = 4*j + 9. Let w(d) = d + 4. Let k(c) = 4*m(c) - 9*w(c). Let y(l) = 4*l. What is y(k(f))? 28*f Let h(x) = -2*x**2 + 5*x - 443. Let k(d) = -d. Calculate h(k(c)). -2*c**2 - 5*c - 443 Let j(o) = -o**2. Let x(l) be the second derivative of l**4/3 + 4*l. Calculate j(x(s)). -16*s**4 Let x(c) = -8*c**2. Let j(d) = -16*d. Let v(k) = -11*k. Let q(p) = 5*j(p) - 7*v(p). Determine q(x(s)). 24*s**2 Let t(p) be the second derivative of p**3/2 + 7*p. Let l(f) = -2*f**2. Calculate t(l(h)). -6*h**2 Let o(v) = 2*v. Let w = 0 - -2. Let h(y) = 3*y**2 - 2*y**w - 4*y**2 + 2*y**2. Give o(h(b)). -2*b**2 Let t(v) = 135*v**2. Let g(c) = -54*c. Give t(g(f)). 393660*f**2 Let a(n) = 2*n. Let f(d) = -3*d. Let y(u) = -2*u**3 + u + 1. Let h be y(-1). Let i = -1 - h. Let v(c) = 3*c. Let q(m) = i*f(m) - 4*v(m). Determine a(q(b)). -6*b Let h(y) = -2*y**2. Let o(r) = 9828*r**2. Give o(h(d)). 39312*d**4 Let c(t) = -3*t. Let w(g) = -5*g + 3. Let i(n) = n**2 + 9*n - 8. Let a be i(-9). Let f(k) = 14*k - 8. Let s(u) = a*w(u) - 3*f(u). Give c(s(v)). 6*v Let a(j) = -3*j**2. Let t(x) = -7*x. Let l(v) be the second derivative of v**3/6 - v. Let i(p) = -6*l(p) - t(p). Determine i(a(u)). -3*u**2 Suppose o - 6 = 5*f - 21, -2*o - 6 = -4*f. Let q(i) = 6*i - f*i - 3*i. Let l(v) = -2*v**2. Give l(q(j)). -2*j**2 Let o(u) be the second derivative of -4*u - 1/12*u**4 + 0*u**2 + 0 + 0*u**3. Let p(w) = w**2. Determine o(p(m)). -m**4 Let a(u) = -2*u + 4. Let p(v) = 1. Let i(k) = a(k) - 4*p(k). Let d(r) = -35*r + 2. Give d(i(x)). 70*x + 2 Let y(w) = 2*w**2. Let c(b) = -b + 6. Let u be c(7). Let x = u + 2. Let r(f) = -3*f + 2 - 1 - x. Calculate r(y(t)). -6*t**2 Let x(c) = 18*c**2. Let q(k) = 2*k - 14. Give q(x(w)). 36*w**2 - 14 Let g(h) = h**2. Let v(a) = 34*a. Give g(v(u)). 1156*u**2 Let o(k) = k**2. Let w(q) = -q + 1. Let g(b) = 6*b - 12. Let j(s) = 11*s - 25. Let v(y) = -5*g(y) + 2*j(y). Let r(a) = -v(a) + 10*w(a). What is r(o(x))? -2*x**2 Let x(c) = 0*c**2 + 2*c**2 + 2*c**2 - c**2. Let q(v) = -5*v. What is q(x(y))? -15*y**2 Suppose -4*v = 16, 2*p + 0*p + 4*v + 12 = 0. Let h(u) = 3*u**2 + 2*u**2 - 3*u**p. Let m(z) = 3*z. What is m(h(s))? 6*s**2 Let f(y) = -2*y. Let b(k) be the second derivative of k**6/360 - k**4/3 + 4*k. Let d(c) be the third derivative of b(c). Calculate f(d(n)). -4*n Let g(t) be the first derivative of -5*t**2/2 + 1. Let i(p) = -2*p + 15985 - 15985. Calculate i(g(x)). 10*x Let p(y) = -79*y + 79*y + y**2. Let c(u) = 0*u**2 + 5*u**2 + 0*u**2 - 4*u**2. Calculate p(c(z)). z**4 Let i(o) = -5*o + o + 0*o + 6*o. Let t(u) = 13*u. What is t(i(w))? 26*w Let r(j) = -2*j**2. Let x(i) = 4*i**2 + 3*i + 1. Let t = -8 + 6. Let k be x(t). Let w(f) = 6*f + k*f - 11*f. Determine w(r(g)). -12*g**2 Let r(n) = -8*n**2. Let v(w) = 4*w**2 - 14*w - 14. Let z(g) = -g**2 + 3*g + 3. Let h(j) = -6*v(j) - 28*z(j). Determine h(r(l)). 256*l**4 Let t(r) = 6*r. Let a(c) = 9*c. Determine t(a(k)). 54*k Let a(i) = 29*i. Let y(d) = -d. What is a(y(f))? -29*f Let z = -63 - -66. Let i(c) be the first derivative of -1/3*c**z - 2 + 0*c**2 + 0*c. Let p(u) = -2*u**2. Calculate p(i(x)). -2*x**4 Let n(m) = -m. Let i(r) = -2*r**2 + 98. Give n(i(a)). 2*a**2 - 98 Let l(c) be the third derivative of -c**6/360 - c**4/24 - c**2. Let m(s) be the second derivative of l(s). Let j(v) = -v**2. What is m(j(x))? 2*x**2 Let o(v) = 49*v**2. Let u(c) = 6*c - 16. Let b(f) = -2*f + 5. Let g(m) = -16*b(m) - 5*u(m). Determine o(g(i)). 196*i**2 Let g(a) be the first derivative of -a**4/12 - 3*a**2/2 - 3. Let q(x) be the second derivative of g(x). Let o(r) = -3*r. Determine q(o(p)). 6*p Let f(l) = -3*l. Let u = 3 + 1. Let h(k) = 4*k + 3. Let o(w) = -4 + w + 0*w - 6*w. Let t(p) = u*h(p) + 3*o(p). Calculate t(f(c)). -3*c Let a(k) = 6*k. Let o(d) = 2358*d + 2. Give o(a(v)). 14148*v + 2 Let r(o) = 5*o**2. Let n = -1 - -1. Let z(m) = m**2 + n + 0 - 2*m**2. Give r(z(k)). 5*k**4 Let o(y) = -y. Let p(s) = -2*s**2 + 0*s**2 + s**2 + 2*s. Let z(b) = 6*o(b) + 3*p(b). Let l(i) be the second derivative of i**4/6 + i. Determine z(l(r)). -12*r**4 Let d(q) = q**2 - 13804. Let o(r) = -2*r. Give o(d(t)). -2*t**2 + 27608 Let u(h) be the second derivative of h**6/360 - h**3/2 - 4*h. Let w(c) be the second derivative of u(c). Let i(o) = -2*o + 3*o - 2*o. Calculate i(w(d)). -d**2 Let y(x) = -2*x**2 + 5*x - 5. Let f(l) = 2*l**2 - 6*l + 6. Let c(v) = 5*f(v) + 6*y(v). Let z(t) = 13*t**2. Determine z(c(w)). 52*w**4 Let t(w) = 963*w**2. Let o(a) = -5*a. Give o(t(s)). -4815*s**2 Let u(p) = -3*p**2. Let h(x) = -2*x**2 + 3*x. Let l(r) = -3*r**2 + 5*r. Let z(k) = k**2 + 8*k + 7. Let s be z(-6). Let g(w) = s*h(w) + 3*l(w). What is u(g(n))? -3*n**4 Let b(l) be the second derivative of -l**4/12 + 10*l. Let q(x) = x. Determi
{ "pile_set_name": "DM Mathematics" }
ds digit of 31208? 2 What is the units digit of 2236? 6 What is the tens digit of 79243? 4 What is the hundreds digit of 44462? 4 What is the hundreds digit of 2847? 8 What is the ten thousands digit of 20087? 2 What is the tens digit of 6573? 7 What is the units digit of 2344? 4 What is the tens digit of 29055? 5 What is the thousands digit of 4605? 4 What is the hundreds digit of 5883? 8 What is the tens digit of 3424? 2 What is the ten thousands digit of 101274? 0 What is the hundreds digit of 9283? 2 What is the tens digit of 6715? 1 What is the tens digit of 5079? 7 What is the units digit of 2971? 1 What is the tens digit of 55347? 4 What is the units digit of 30438? 8 What is the hundreds digit of 373? 3 What is the thousands digit of 4596? 4 What is the tens digit of 14333? 3 What is the tens digit of 477? 7 What is the hundreds digit of 874? 8 What is the hundreds digit of 1622? 6 What is the units digit of 119143? 3 What is the thousands digit of 28520? 8 What is the hundreds digit of 1161? 1 What is the units digit of 26815? 5 What is the units digit of 699? 9 What is the thousands digit of 1652? 1 What is the hundreds digit of 34339? 3 What is the thousands digit of 16264? 6 What is the units digit of 52711? 1 What is the thousands digit of 55548? 5 What is the units digit of 21006? 6 What is the hundreds digit of 121? 1 What is the hundreds digit of 1003? 0 What is the thousands digit of 15006? 5 What is the tens digit of 1381? 8 What is the hundreds digit of 30977? 9 What is the units digit of 1934? 4 What is the tens digit of 14543? 4 What is the tens digit of 8317? 1 What is the thousands digit of 3082? 3 What is the thousands digit of 3840? 3 What is the tens digit of 15064? 6 What is the tens digit of 15982? 8 What is the units digit of 45359? 9 What is the tens digit of 5058? 5 What is the tens digit of 8734? 3 What is the units digit of 1617? 7 What is the units digit of 169971? 1 What is the thousands digit of 1921? 1 What is the tens digit of 6533? 3 What is the units digit of 55894? 4 What is the ten thousands digit of 49179? 4 What is the hundreds digit of 2609? 6 What is the hundreds digit of 139? 1 What is the units digit of 12567? 7 What is the tens digit of 817? 1 What is the units digit of 2574? 4 What is the hundreds digit of 152? 1 What is the hundreds digit of 642? 6 What is the tens digit of 1473? 7 What is the hundreds digit of 1095? 0 What is the ten thousands digit of 13959? 1 What is the hundreds digit of 787? 7 What is the units digit of 919? 9 What is the units digit of 7581? 1 What is the hundreds digit of 21743? 7 What is the hundreds digit of 478? 4 What is the thousands digit of 2401? 2 What is the hundreds digit of 168? 1 What is the ten thousands digit of 37306? 3 What is the thousands digit of 2021? 2 What is the hundreds digit of 253? 2 What is the ten thousands digit of 10336? 1 What is the tens digit of 12068? 6 What is the tens digit of 1283? 8 What is the thousands digit of 7112? 7 What is the tens digit of 1589? 8 What is the hundreds digit of 1246? 2 What is the ten thousands digit of 11455? 1 What is the tens digit of 794? 9 What is the hundreds digit of 9937? 9 What is the tens digit of 40913? 1 What is the tens digit of 986? 8 What is the tens digit of 79? 7 What is the tens digit of 54591? 9 What is the tens digit of 26382? 8 What is the ten thousands digit of 28487? 2 What is the thousands digit of 5441? 5 What is the tens digit of 123289? 8 What is the thousands digit of 3539? 3 What is the units digit of 812? 2 What is the hundreds digit of 400? 4 What is the tens digit of 256? 5 What is the ten thousands digit of 49974? 4 What is the tens digit of 4953? 5 What is the units digit of 978? 8 What is the units digit of 8283? 3 What is the thousands digit of 1168? 1 What is the tens digit of 2988? 8 What is the units digit of 11133? 3 What is the units digit of 120143? 3 What is the units digit of 230? 0 What is the tens digit of 16662? 6 What is the hundreds digit of 353? 3 What is the units digit of 1573? 3 What is the hundreds digit of 42787? 7 What is the ten thousands digit of 53160? 5 What is the hundreds digit of 582? 5 What is the ten thousands digit of 22062? 2 What is the thousands digit of 119930? 9 What is the tens digit of 85? 8 What is the tens digit of 3068? 6 What is the hundreds digit of 63151? 1 What is the units digit of 535? 5 What is the tens digit of 811? 1 What is the thousands digit of 1793? 1 What is the hundreds digit of 101461? 4 What is the thousands digit of 1938? 1 What is the thousands digit of 1952? 1 What is the tens digit of 7177? 7 What is the tens digit of 252? 5 What is the units digit of 44? 4 What is the tens digit of 3460? 6 What is the hundreds digit of 5683? 6 What is the thousands digit of 16813? 6 What is the thousands digit of 5845? 5 What is the thousands digit of 5791? 5 What is the units digit of 8585? 5 What is the ten thousands digit of 42487? 4 What is the hundreds digit of 251? 2 What is the tens digit of 1330? 3 What is the tens digit of 995? 9 What is the units digit of 924? 4 What is the hundreds digit of 104339? 3 What is the tens digit of 7418? 1 What is the tens digit of 1274? 7 What is the thousands digit of 22095? 2 What is the hundreds digit of 3086? 0 What is the ten thousands digit of 11534? 1 What is the hundreds digit of 867? 8 What is the thousands digit of 2599? 2 What is the ten thousands digit of 69256? 6 What is the units digit of 507? 7 What is the units digit of 59132? 2 What is the hundreds digit of 3557? 5 What is the units digit of 5518? 8 What is the hundreds digit of 2840? 8 What is the units digit of 44281? 1 What is the thousands digit of 37233? 7 What is the hundreds digit of 2837? 8 What is the units digit of 3370? 0 What is the thousands digit of 21331? 1 What is the hundreds digit of 66524? 5 What is the tens digit of 49296? 9 What is the tens digit of 12982? 8 What is the tens digit of 12127? 2 What is the tens digit of 27821? 2 What is the ten thousands digit of 149200? 4 What is the units digit of 218? 8 What is the thousands digit of 11391? 1 What is the hundreds digit of 124335? 3 What is the tens digit of 6451? 5 What is the thousands digit of 1011? 1 What is the units digit of 261? 1 What is the tens digit of 1588? 8 What is the hundreds digit of 12631? 6 What is the tens digit of 26461? 6 What is the tens digit of 1633? 3 What is the tens digit of 10595? 9 What is the hundreds digit of 262? 2 What is the ten thousands digit of 18172? 1 What is the units digit of 1066? 6 What is the tens digit of 190? 9 What is the ten thousands digit of 13025? 1 What is the tens digit of 1901? 0 What is the tens digit of 473? 7 What is the tens digit of 7542? 4 What is the units digit of 15473? 3 What is the ten thousands digit of 26153? 2 What is the hundreds digit of 511? 5 What is the units digit of 6868? 8 What is the units digit of 37578? 8 What is the units digit of 1294? 4 What is the hundreds digit of 6513? 5 What is the tens digit of 28116? 1 What is the hundreds digit of 36827? 8 What is the thousands digit of 8139? 8 What is the units digit of 14300? 0 What is the thousands digit of 1032? 1 What is the hundreds digit of 28946? 9 What is the hundreds digit of 21352? 3 What is the tens digit of 55621? 2 What is the units digit of 820? 0 What is the units digit of 32873? 3 What is the tens digit of 1141? 4 What is the thousands digit of 47087? 7 What is the units digit of 36271? 1 What is the units digit of 843? 3 What is the tens digit of 147488? 8 What is the hundreds digit of 476? 4 What is the hundreds digit of 2338? 3 What is the ten thousands digit of 12675? 1 What is the tens digit of 22303? 0 What is the thousands digit of 14302? 4 What is the tens digit of 212? 1 What is the thousands digit of 4505? 4 What is the ten thousands digit of 53366? 5 What is the thousands digit of 1505? 1 What is the units digit of 7761? 1 What is the tens digit of 183? 8 What is the tens digit of 79194? 9 What is the units digit of 871? 1 What is the thousands digit of 7472? 7 What is the thousands digit of 1331? 1 What is the tens digit of 1240? 4 What is the units digit of 6630? 0 What is the tens digit of 7219? 1
{ "pile_set_name": "DM Mathematics" }
give i. -1445 Rearrange -3 + 25*j**2 - 109*j**2 - 280*j**2 - 262*j**2 + 2*j**2 to the form m*j + l*j**2 + b and give b. -3 Rearrange 0 + 0 - l**2 + ((3 - 1 + 0)*(-l - 2*l + 2*l) - 4*l + l + l - 387*l - 449*l + 762*l)*(-l + l + 2*l) to m*l**2 + h*l + t and give t. 0 Express (-42*t**2 - t + t)*(t - 2*t - t)*(148 - 305 + 50) + (-t + t - 2*t)*(t**2 + 1 - 1) in the form s + m*t**2 + v*t + z*t**3 and give z. -8990 Rearrange (-p + 6356*p**2 + 12*p**4 - 6356*p**2)*(-14 + 10 - 5)*(0 - 1 + 2) to the form o + d*p**4 + s*p**3 + h*p + q*p**2 and give h. 9 Rearrange -6*n**4 + 57*n**4 - 2*n**4 + (-3*n**3 + 3*n**3 + 3*n**3)*(-9*n - 5*n - 17*n) to the form r*n**4 + w + v*n**2 + o*n + k*n**3 and give r. -44 Rearrange (-7 - 2 + 6)*(-3*n + 3*n - 2*n)*(12 + 2 + 15) to the form z*n + f and give z. 174 Rearrange (9297 + 12591 - 32592)*(3*n - 4*n - n) - 2*n - 2 + 2 to z + m*n and give z. 0 Express 15*f**2 - 7 + 220*f - 221*f - 14*f**2 - 38*f**3 in the form g*f**3 + y*f + k*f**2 + m and give g. -38 Rearrange (-2 + 2 - 3)*(-2 + w + 2) - 4 + 4 + 2*w - 2114 + 4148 - 2084 + 6*w to the form d + g*w and give g. 5 Express 44*k**3 + 44*k**3 - 57 - 90*k**3 - 24*k**2 + 24*k**2 + 8*k as r*k**3 + s*k + u*k**2 + b and give r. -2 Express -3*i + 66 - i**2 + 67 + 2*i - 2*i as z*i**2 + t + q*i and give q. -3 Rearrange -1421*b + 31 - 70 + 40 to t*b + v and give v. 1 Rearrange 65833*d + 678*d**4 - 1 - 6*d**3 - 65833*d to s*d**2 + j*d**4 + z + o*d + g*d**3 and give z. -1 Express -3345*q**3 - 40*q - 1 - 5*q + 3362*q**3 in the form h + g*q**3 + l*q + c*q**2 and give h. -1 Rearrange (-624 + 2046*u + 307 + 339*u + 446*u + 314)*(-3*u + 3*u + 2*u**2) to the form b*u**3 + r*u**2 + v*u + s and give b. 5662 Rearrange (-h - 4*h + h)*(219 - 39*h + 41*h + 397) to the form d*h + v*h**2 + a and give d. -2464 Rearrange 53 + 641 - 9334*w + 9336*w + 149 to f + p*w and give p. 2 Express -4*p**4 + 363451 - 363446 + 7*p**3 + 3*p**4 - p**2 in the form y*p**4 + h*p**2 + n*p**3 + u*p + l and give u. 0 Rearrange -12*n - 97*n + 52 - 4*n - 45 to c + h*n and give c. 7 Express -26227*k**2 - 2292*k**2 + 541*k + 2288*k**2 - 541*k as n*k**2 + f*k + c and give n. -26231 Express 4548*v**3 + v**2 - 4548*v**3 - 365 - v**4 as h*v**3 + x*v**4 + u*v + w*v**2 + d and give w. 1 Rearrange 221076*k - 221077*k + 10*k**4 - 2*k**3 + 5 + 1 - 2*k**2 to the form d*k + t*k**2 + a + w*k**4 + i*k**3 and give i. -2 Rearrange (295 + 12 + 211)*(-d + 5*d**3 - 3*d + 5*d) to w*d + x*d**3 + b + s*d**2 and give s. 0 Rearrange 0*l - 3*l - 11*l + (l + l + l)*(31 + 110 + 7) - 4*l + l + 4*l to i + c*l and give c. 431 Express (10*g - 6*g + 8*g)*(1158*g - 1151*g - 17 + 1)*(-5 + g + 5) as s*g**2 + i*g + v + y*g**3 and give s. -192 Rearrange 3*b - 3007 + 45*b**2 + 2997 + 11*b**2 - b**3 to q*b + s*b**3 + a*b**2 + w and give q. 3 Rearrange 9782*x**3 + 34 - 9784*x**3 - 17 - 14 + 10*x + 14*x to the form r*x**2 + i*x**3 + b + g*x and give b. 3 Express (262*r - 197*r - 137*r)*(-3 + 2*r**2 + 3)*(-2 - 4 - 2) as j*r**3 + f + b*r**2 + t*r and give j. 1152 Express -p + p + p**2 + (0*p + 3*p - p)*(9 - 4 - 9)*(-65 + 40 - 13)*(2*p - 3*p + 0*p) as s*p + i + h*p**2 and give h. -303 Express (-1243*l**2 + 2 - 1255*l**2 + 2474*l**2)*(-9 + 3*l - l + 2*l) as j*l**3 + n + u*l + k*l**2 and give n. -18 Rearrange (-1 + 0 + 0)*((f + 3*f - 2*f)*(-6 + 9 + 3) + (3 - f - 3)*(-1 - 3 + 3) + 0 + 0 - 2*f) - 199*f + 276*f + 428*f to the form s*f + q and give s. 494 Rearrange 4*i - 1 + 469*i**2 - 124*i**2 - 119*i**2 - 121*i**3 - 121*i**2 - 116*i**2 to l*i**3 + j*i + y*i**2 + q and give q. -1 Express (-2*t**2 + 4*t**2 + 0*t**2)*((54162 - 31721 - 32958)*(-1 - 4 + 3) + 6 - 1 - 2) as g*t + z + x*t**2 and give x. 42074 Express 145*y**2 - 140*y**2 + 3*y**3 + 4*y**3 + (2*y**2 - 3*y**2 - 4*y**2)*(4*y - 3*y - 15*y) in the form d*y**2 + l*y + f + c*y**3 and give c. 77 Rearrange (2*q**2 - 2*q**2 - q**2)*(-405*q + 702*q - 2 - 531*q) to v*q + g*q**3 + i + k*q**2 and give k. 2 Express (-f + f + 2*f)*(4 + 1 - 4)*(-5*f - f + 3*f)*(895*f + 1382*f + 515*f) as j*f**3 + n*f**2 + x + g*f and give j. -16752 Rearrange (497 - 476 + 828)*(-4*g + 2*g + g) + 0*g + 0*g - g to the form x + v*g and give v. -850 Rearrange -3*x - 3 - 62*x**2 + 126*x**2 + 4*x + 210*x**2 to c + f*x**2 + w*x and give f. 274 Express (2 + 0 - 1)*(-1 - 2*u + 6 - 2)*(-4142 + 8500 - 2362) as y + z*u and give y. 5988 Express 2*w**2 - 792 + 1822*w + 1585 - 793 in the form r*w + d*w**2 + o and give d. 2 Express -2178 - 19*x**2 + 3*x**3 - 10*x**2 + 2179 + x + 8*x**3 - 3*x as p + d*x**3 + r*x + h*x**2 and give r. -2 Express (-10037 - 6724 - 5896)*(5*n - 4*n + 2*n) in the form w + i*n and give i. -67971 Rearrange (271 + 185 + 1383 + 2643)*(-g**3 + g**3 + g**3) to j*g + l*g**2 + h + k*g**3 and give k. 4482 Rearrange (-7 + 4*g**2 + 7)*(g + 0*g - 3*g)*(-648 + 56*g + 16*g - 73*g) to the form x*g**3 + l*g**2 + j*g + a + n*g**4 and give n. 8 Express 9*b + 98 + 8*b - 12*b + 114 + b as r*b + v and give v. 212 Express 0 + 8 + 7449*i - 5 - 5092*i as a*i + f and give f. 3 Rearrange 32*g + 27 - 44*g + 25*g - 17*g to m + f*g and give m. 27 Express -14191 - 12*a**2 - 44*a**3 + 3*a - 3*a + 14192 - 12*a**2 in the form k*a + i + z*a**3 + m*a**2 and give z. -44 Express q**2 - 206*q - 130 + 29*q - 2*q**2 + 131 in the form r*q**2 + g + o*q and give g. 1 Express 63*r**2 + 105812*r - 105852*r + 13*r**2 as k*r + m*r**2 + u and give m. 76 Rearrange (52 - 62*y**3 - y + 173*y**3 - 116*y**3)*(1 + 26*y - 1 - 70*y) to the form d*y + u*y**4 + f*y**2 + k*y**3 + t and give d. -2288 Express -232*o + 0*o**4 - 10*o**3 + 2*o**2 + 231*o - 9*o**3 + o**4 + 1 + 6*o**2 in the form k*o**3 + w*o**2 + m + h*o + b*o**4 and give m. 1 Express (3 - 4 + 3)*(-g + 3*g + 0*g) + (-123*g - 62*g - 78*g)*(-4 + 4 + 1) in the form i + b*g and give b. -259 Express 280*h - 512*h - 2782*h - 3654*h in the form a*h + m and give a. -6668 Rearrange ((7*o**2 - 3*o**2 + 0*o**2)*(2*o**2 - o + o) + 7*o**4 + 0*o**4 - 4*o**4)*(-965 - 212 - 157) to w*o**4 + k*o**2 + n*o + v + u*o**3 and give w. -14674 Rearrange (4*f + 21 - 21)*(-2*f**2 + f - f) - 50400*f**2 + 11637*f**3 + 16796*f**2 + 16802*f**2 + 16802*f**2 to z*f**3 + x*f**2 + v*f + n and give z. 11629 Express 1226*b - 3432 + 1140 + 1143 + 1149 as a + l*b and give l. 1226 Express (-2 + 6116*n + 4 - 6077*n)*(-1 + 2 - 3)*(3 + 2 - 4)*(-1 - 2 + 4) in the form j + p*n and give j. -4 Express 228*k - 18*k**4 + 16*k**4 + 3*k**4 + (-2*k**2 + 5*k**2 - 2*k**2)*(-7 + 7 - 4*k**2) in the form b*k**4 + y*k**3 + n*k**2 + x*k + p and give x. 228 Rearrange 4*n**2 + 14370*n - 3*n**2 - 8*n**3 - 14367*n + 2*n**2 - 4*n**2 - 2 to w*n**2 + p*n**3 + v*n + q and give v. 3 Express 6*n - 7*n**4 + 31*n**2 - 3 + 18*n**2 - 1 - 38*n**2 + 5 in the form k*n**3 + q*n**2 + r*n**4 + f*n + d and give r. -7 Express -820*y**2 + 314*y - 3*y**3 - 176*y - 137*y as n*y**2 + t*y + r + v*y**3 and give t. 1 Express 1 - 68*h**2 - 16*h**4 + 30*h**2 + h**2 - 24*h**2 - 3*h**3 + 2*h**3 as t*h**3 + o*h + b*h**2 + x + j*h**4 and give j. -16 Express (4*g**2 - 4*g**2 - 2*g**2)*(19325*g - 15 - 31824*g + 15 - 25639*g - 15759*g) in the form u*g**2 + a*g**3 + j*g + m and give a. 107794 Rearrange -2*u**3 - 3*u**3 + u**3 + (-3*u**2 + 2 - 2)*(3*u - 2*u + 2*u) + 30*u**3 - 6*u**3 - 3*u**3 + 5 - u**3 - 5 to d*u**2 + t*u**3 + a*u + i and give t. 7 Express -7*n**2 - 23 + 0 + 79*n - 16*n**2 + 23*n**2 - 2*n**2 in the form a + u*n**2 + j*n and give u. -2 Express (1 - 1 - 2*r + 2*r + 0 + 0 + 0 + 2*r + 0 + (-4 + 6 - 4)*(-r - r + r) - 5*r + 0*r + 0*r)*(205*r - 63*r + 134*r) as i + w*r + d*r**2 and give i. 0 Express -5423*w**3 + 24 - w**2 - 8*w + 1806*w**3 + 1815*w**3 + 1804*w**3 in the form r*w**3 + u*w + g + j*w**2 and give j. -1 Express -j + 229 - 227 + 3*j**2 + 14*j**2 - 9*j**3 in the form d*j**2 + b + x*j**3 + r*j and give r. -1 Rearrange -4*n**2 - 5*n**2 + n**2 + (1 - 1 - 2)*(-1039*n + 1039*n + 278*n**2) + 2*n**2 + 3*n**2 - 2*n**2 to u*n + m*n**2 + h and give m. -561 Express 22*g + 25*g - 8*g**3 - 44*g + (14*g**2 - 30*g**2 - 28*g**2)*(3*g + 5*g - 4*g) as o*g + t*g**2 + b*g**3 + p and give b. -184 Rearrange k + 1 - 29*k**3 + 110*k**3 - 24*k**3 - 42*k**3 + 4*k**2 to the form d*k**3 + i*k**2 + l*k + t and give d. 15 Express (4*u + u - 4*u + (2*u - 2*u - 3*u)*(0 + 4 - 3) - 32*u - 25*u - 26*u)*(10*u**2 - 13*u**2 + 6*u**2) in the form m
{ "pile_set_name": "DM Mathematics" }
ve -4*c + 17 = -5*a, -2*c - a + 11 = -y*a for c. 3 Let f be (-156)/(-60) - 2/(-5). Let x be (-2)/4*(-11 - -1). Let s = x - f. Solve 4 + 1 = -5*k + 3*t, s*t = 10 for k. 2 Let q = -140 + 142. Suppose 15 = -2*f - 5*n, -3*f + 2*f + 5*n = -15. Suppose f*l + 10 = 5*l. Solve -4 = -5*p - w - 3*w, -l*w = q*p for p. 4 Suppose 3*y = 2*y + 10. Solve -2*s + 3*f = 6, f - 6*f + y = s for s. 0 Let k(r) = r + 10. Let c be k(-10). Let u = c + 5. Solve -u*n = -q - 2*q + 21, 3*n = -4*q - 1 for n. -3 Suppose 0 = u - 6*u + 10. Solve -10 = -u*n, 3*n + 0*n - 30 = 5*k for k. -3 Suppose 4 = -2*g + 3*g. Solve 0 = 2*a + 4 + 6, 0 = g*z + 5*a + 41 for z. -4 Suppose -2*k + 32 = 2*k. Let m = 10 - k. Let d be -10*(0 + 2/(-4)). Solve -m*j = r + 2*r, j = -d*r for j. 0 Let d(w) = w**3 - 16*w**2 - 15*w - 29. Let m be d(17). Solve -5*f + 7 = -13, -m*f = z - 17 for z. -3 Suppose 10*a - 7*a = 6. Solve 16 = 2*r - 4*o, a*r + o + 2*o + 5 = 0 for r. 2 Let n = -3 + 13. Suppose 2*b - n = -0*b. Let j(v) = -12*v**3 - 1. Let u be j(-1). Solve 14 = 5*z + 3*o - u, 0 = -3*z + b*o - 19 for z. 2 Let u be 140/8*9*(-8)/(-42). Solve 5*s + 8*v = 5*v + u, 3*s + v = 14 for s. 3 Suppose -52 = -4*f - 4*i, 0 = f + 3*f - 4*i - 76. Solve -2*j + 6*j + f = 0, 5*q = j + 24 for q. 4 Suppose y - 15 = 4*t + 27, 2*t = 4*y - 126. Solve -2*w + 4*k = y, 4*w + k + 0 = -15 for w. -5 Let s be (-2 + (-15)/(-3))/1. Suppose 0 = -4*a + z + 28, 2*a - s*a - 12 = -5*z. Let o = a - -2. Solve 4 = -j - j + 4*n, 2*n = -2*j - o for j. -4 Let l(s) = 3*s**2 + 2*s + 1. Let o be -4 + 1 - (-4)/2. Let u be l(o). Solve 4*i - 8 = f, 5*f + 10 = -u*i - 8 for i. 1 Let l(a) = -2*a - 3 + 8*a + a**2 + a**3 - 7*a**2. Let y be l(5). Suppose 2*z = g - 3, g - 7 = -0*g - 2*z. Solve -3*r = 2*j + 19, -7*r + 4*j + g = -y*r for r. -3 Let t be (-13 + -1)/(0 - 1). Solve -2*a = -3*r - 3*a - t, -r - 3*a = 2 for r. -5 Suppose 3*p = -0*p - 3. Let h be (3 - -4) + -2 + p. Solve -5*y - 2*t + 9 = 0, -2*y + h = 2*t - 2 for y. 1 Suppose 0 = 2*z + 3*z - 85. Solve z = -3*h - 0*h + b, -3*h = 4*b - 8 for h. -4 Let p = -17 - -21. Suppose 0 = -p*g + g + 4*a + 20, -4*a + 52 = 3*g. Solve -5*h = -h - 4*c - g, 2*c - 9 = -3*h for h. 3 Let y(z) = -z**2 + z + 1. Let h be y(4). Let v = h - -18. Suppose 5*n + 2*a = -3*a + 55, 5*n - 4*a = 64. Solve -4*d = -q - n, 4*q + v = -d + 27 for q. 4 Let b(t) = -t**3 - 2*t**2 - 2*t. Let w be b(-2). Suppose w*l + l - 27 = 4*a, 5*l + 4*a - 3 = 0. Solve 0 = -2*y + l*p - 5*p - 2, -3*p = 0 for y. -1 Let d(n) = -n**3 - 5*n**2 - 4*n + 5. Let k be d(-4). Solve 4*a = -k*g + 7, -g = -4*a - 0*g - 11 for a. -2 Suppose -3*d - 5*p = -0*d - 27, 5*p = 4*d - 1. Let f = 21 + -12. Solve 24 = d*i - 2*o + 6*o, 0 = 2*i - o - f for i. 5 Suppose 6*m + 3*c + 61 = 2*m, -5*m - 79 = c. Let t be (-264)/m*(-6)/(-9). Solve -3*f = -a + t, 2*f + 4 - 1 = 5*a for a. -1 Let b(r) = -2*r**3 + 2*r**2 + 2*r + 1. Let f be b(-1). Let w be f + -3 + (-6)/(-2). Solve -w*a = -t - 7, 4*t + 2 = -0*t - a for t. -1 Suppose -10*c = -12 - 8. Solve 5 = g + c, -5*m + 2*g = -19 for m. 5 Let l be 12 + (2 + -3 - 1). Suppose l = 4*s - 2*s. Solve -5*q - 4*k = -k - 22, -s*q + 2*k = -2 for q. 2 Let f(i) = 10*i. Let a be f(1). Suppose 0 = 3*v - 5*v + a. Suppose 4*y - 33 = v*z - 0*z, -z = -3*y + 11. Solve -7*s + 12 = 2*m - y*s, 3*s = 2*m + 4 for m. 1 Let j(o) = 4*o - 7. Let x be j(3). Suppose -x - 43 = -3*f. Solve c = -t - 4*c - 9, -3*t - 4*c = f for t. -4 Let y be (-10)/30 - (-20)/6. Let w(c) = c - 9. Let m be w(10). Solve d - 4*d + 3 = y*b, 0 = 5*b + d - m for b. 0 Let p(k) = k**2 + 5*k + 1. Let j be p(-5). Suppose -j = -o - 3*w + 18, 4*o + 3*w = 76. Solve h - 11 = -2*h + q, -2*q - o = -5*h for h. 3 Let t = 5 - -7. Let n = -7 + t. Solve -18 = -4*u - n*q, q = -2*q + 6 for u. 2 Let t(f) be the first derivative of 3*f**5/20 + f**2/2 + 3*f - 2. Let c(j) be the first derivative of t(j). Let i be c(1). Solve -y + 2 = y, i*y = 2*n for n. 2 Let n = 16 + -10. Let o(x) = x**3 + 6*x**2 - 8*x + 3. Let w be o(-7). Suppose 5*q - w = -0*q. Solve n*y = 2*y + 2*u - q, -3*y - 9 = u for y. -2 Suppose -5*m + 24 = -2*g, 2*m + 0*m + 2 = -5*g. Let j be (-4)/10 - (-732)/30. Suppose -5*h + j = -h. Solve -2*q - h = p + 1, 0 = -m*p + 2*q - 8 for p. -3 Let d be 2/(-1)*-5*(-24)/(-48). Solve -5 = j + 5*x, j + d = -0*j - 4*x for j. -5 Let z = -5 - -7. Let h be (-1)/z + (-4)/(-8). Suppose 4*u - 15 = -2*x + 7, h = -u - 4*x + 23. Solve 0 = c + 3*c + i - 23, 0 = -2*c + u*i + 1 for c. 5 Let t be (-11)/66 - (-1)/6. Solve -2*r + 6*r + 23 = x, 2*r - 2*x + 16 = t for r. -5 Let v be 7/((1/1)/(-1)). Let x(o) = -o**3 - 6*o**2 + 7*o + 4. Let w be x(v). Solve -j = -0*j + 2*p + 4, 0 = w*j + 2*p - 2 for j. 2 Let a = -145 + 149. Solve 2*q = 4*t - 18, 0 = a*t - 2*t - 3*q - 7 for t. 5 Suppose i - 3*m = -7, -10 = 5*i + 4*m - 32. Suppose -i*p + 60 = 3*p. Solve 3*q + t = p, 0*t - 3*t = 5*q - 20 for q. 4 Let p be (-36)/15*10/3. Let q = p - -13. Let z(k) = -k**3 + 3*k**2 + 4*k + 2. Let i be z(4). Solve -3*j + x - i*x + 1 = 0, 25 = -q*x for j. 2 Let i(c) = 2*c - 7. Let w(s) = -s**2 + 5*s + 2. Suppose 5*b = 10 + 10. Let o be w(b). Let x be i(o). Solve -x*m + 4*z = 24, 0 - 1 = -z for m. -4 Suppose -4*n + 11*n + 413 = 0. Let x = n - -83. Solve h = -s + 2, -5*s = -h - h - x for s. 4 Let o(f) = f - 9. Let s be o(11). Let h(g) be the first derivative of g**2 + g - 2. Let v be h(s). Solve 4*y - 5*x = 36, -y - 17 = v*x - 1 for y. 4 Suppose q = -5*w + 4*q + 90, 2*w = -3*q + 15. Solve w = 4*r + k, k = 5*r + 2*k - 20 for r. 5 Suppose 7*t - 6*t - 4 = 0. Solve c + 0 + 4 = t*y, -5*c = 4*y - 4 for y. 1 Let b(t) = -t + 17. Let q(r) = -8. Let l(x) = 6*b(x) + 13*q(x). Let p be l(-1). Suppose 3*h - 14 + 5 = 0. Solve 0 = -5*w + 4*a - 32, h*w + p*a - 8 = 2*w for w. -4 Suppose t + 86 = 98. Solve 3*m = 4*u + 9, -2*u - 3*m = u + t for u. -3 Suppose -5*w = -5*x - 45, -w + 17 + 4 = -4*x. Solve 0*s + 4 = 4*s, -5*l - w*s - 20 = 0 for l. -5 Let q = -5 + 10. Solve 5*r = -z + 20, 3*r - q*r + 8 = -2*z for r. 4 Let h = -13 - -34. Solve -2*y = 4*p - 24, -2*y + 5*p + 0*p = h for y. 2 Let f be 2/(-3) + 3/(-9). Let v be 0/(f + 0 - 1). Let b = 107 + -105. Solve v*l - 21 = 5*z + b*l, -3 = -3*z + 4*l for z. -3 Let b(t) = -t**2 - t + 9. Let y be b(0). Suppose 3*j = y + 3. Solve -j*d + 23 = -0*d - 5*l, 0 = -3*d - 3*l - 3 for d. 2 Let g(j) = j**3 - 3*j**2 - 2*j - 3. Suppose 4*n = -2 - 6. Let u be (-282)/(-54) - n/(-9). Let t be g(u). Solve 0 = 2*c - 4*r + 26, 0 = c + 4*c - 3*r + t for c. -5 Let n(q) = q**3 + 6*q**2 - 7*q + 4. Let f be n(-7). Solve -h = -5*o + 19, 4*o + 0*h - 12 = f*h for o. 4 Let o = -18 + 28. Let k = 14 - o. Solve -2*b + 6 = s, 0*b - 3 = -b - k*s for b. 3 Let o(l) = -l**3 + 8*l**2 - 7*l. Let c = 11 - 4. Let j be o(c). Solve j = 2*m + u + 1, m = -0*m + 3*u + 17 for m. 2 Suppose 4*a + 6*x - 2*x - 224 = 0, a - 59 = -4*x. Suppose 5*b - a = -5*f, -10 = -2*f - 3*b + 14. Let u = -4 + f. Solve -2*i - s = 12, -i - 2*s - u = 4 for i. -5 Let n be 2 - (-2 + -4 + -2). Suppose -h + 2*h - n = -5*u, h + 2 = -u. Solve u*j - 4*d + 0 = -1, d + 3 = 4*j for j. 1 Let b(c) = -c - 2. Let r be b(-3). Let o be r - (6 - 3)*-1. Solve -m = -3*m - 5*n + 28, -5*n + 36 = o*m for m. 4 Let g = -6 + 6. Let k(z) = z + 1. Let o be k(g). Let w be 1 + 0/o + 2. Solve p = -b + 2, 4*b + p = w - 4 for b. -1 Let z(c) = 3*c + 6. Let p(d) = 7*d + 11. Let h(k) = -4*p(k) + 9*z(k). Let x be h(5). Solve 3*y - 11 = -2*q, -y - 5 = -0*q + x*q for q. -2 Suppose 3 = 2*d - d. Solve 0 = 2*g + o - 7, 0 = g + d*g + 5*o - 17 for g. 3 Let g be 2 + 1/1 + -21. Let h = -13 - g. Solve z = -h*f + 26, -3*z - z = 4*f - 24 for z. 1 Let j = 5 - 4. Suppose -2*i = -2*r - j - 5, 3*r = -3*i + 3. Let l = r + 6. Solve 4*n + 0 = -u + 6, -l*u = -4*n + 18 for u. -2 Let p = -94 - -115. Solve 3 = o - 2*x, 5*o - p = -3*x + 7*x for o. 5 Suppose j = y - 36, 0*j = y + 2*j - 36. Suppose -7*u + s + y = -3*u, -4*s - 34 = -5*u. Solve -2*l = -z - 7*l - u, 3*z - 3*l = 24 for z. 5 Let z(w) = -w. Let g be z(-4). Solve 2 = -3*s + 2*a, 2*s + 4*a = 6*s - g for s. -4 Let p = 33 - 23. Suppose 0*o = a - 2*o - 4, 5*o = -p. Solve 5*k = z - 8 - 5, k - 2*z - 1 = a for k. -3 Let x(p) = p**2 + p. Let f be x(-3). Let c(o) = -o**3 + 6*o**2 + o - 6. Let a be c(f). Suppose 3 - 8 = -g. Solve 4*b - 45 = -g*w, a = -w - 0*b + b for w. 5 Suppose 0 = 3*r + 3 - 6. Let a be r/(-2 - 0)*-6. So
{ "pile_set_name": "DM Mathematics" }
*3. Let v(y) = -y**5 - 3*y**4 - 2*y**3 + 2*y**2 - y - 1. Let u(c) = 2*h(c) + v(c). Factor u(o). (o - 1)**3*(o + 1)**2 Factor 3*m**4 + 0*m**4 - 16*m**3 + 7*m**3 - 13*m + 25*m. 3*m*(m - 2)**2*(m + 1) Let n = 1919 - 1916. Let m(l) be the second derivative of -1/60*l**5 + 0 + 1/18*l**n - 1/36*l**4 + 2*l + 1/6*l**2. Let m(a) = 0. Calculate a. -1, 1 Let r(q) be the first derivative of q**6/24 + q**5/20 - 9*q**4/16 - 3*q**3/4 - 88. Factor r(y). y**2*(y - 3)*(y + 1)*(y + 3)/4 Suppose 3*g + 1 = 7. Factor -7*r**2 + 6*r**3 + g*r**4 - 5*r**4 + 0*r**2 + 4*r**2. -3*r**2*(r - 1)**2 Let d = -82/3 + 1199/42. Let w = 9/7 + d. Find n, given that w*n**2 + 1/2*n**4 + 2*n**3 + 0 + n = 0. -2, -1, 0 Let q(x) be the second derivative of -1/4*x**3 - x + 11 - 1/20*x**6 + 3/40*x**5 + 1/8*x**4 + 0*x**2. Suppose q(r) = 0. Calculate r. -1, 0, 1 Factor -7/4 + 2*z - 1/4*z**2. -(z - 7)*(z - 1)/4 Let o = 15352952/85 - 180626. Let v = o - -72/17. Solve 9/5*f - 9/5*f**3 + 6/5 - v*f**2 = 0 for f. -1, -2/3, 1 Let c(a) be the third derivative of -17*a**5/240 - a**4/96 - 2*a**2 + 439. Find v such that c(v) = 0. -1/17, 0 Solve 25*g**3 - 20*g**4 - 14322 + 14322 + 5*g**5 - 10*g**2 = 0 for g. 0, 1, 2 Let o = 1202/3 - 400. Let g(u) be the first derivative of 0*u + 1/3*u**2 - o*u**3 - 9 - 2/3*u**4. Suppose g(n) = 0. What is n? -1, 0, 1/4 Let c be 5 + 0/(-7) + -6. Let q be -1 + c*9/(-6). Factor 0*i**2 - i + q*i**4 - 1/2 + i**3. (i - 1)*(i + 1)**3/2 Let w(k) = 7*k**2 - 9*k - 4. Let r(s) = s**2 + s - 1. Let b(d) = 2*d**2 - 12*d + 1. Let q(h) = b(h) + 4*r(h). Let z(j) = 6*q(j) - 5*w(j). Factor z(u). (u - 2)*(u - 1) Suppose 0*b - 5*b - 65 = 0. Let k = b + 18. Suppose k*o**3 - 3*o - 4*o**5 + o**5 - 3*o**3 + 4*o**3 = 0. Calculate o. -1, 0, 1 Let u be ((-38)/(-2) - 9680/704)*(-2)/(-7). Suppose 0 = -5*h + 2*h + 9. Factor u*p**2 + 1/2*p**h + p + 0. p*(p + 1)*(p + 2)/2 Suppose 4*g = -g - 60. Let z be 1*2*(g + 15). Let i(x) = 8*x**3 + 12*x**2 + 8. Let k(m) = m**3 + m**2 - m + 1. Let d(p) = z*k(p) - i(p). Factor d(a). -2*(a + 1)**3 Let f be 78/(-195) + (-5)/((-50)/144). Let -15*u**2 - 10 + f + 0 - 35*u + 26 = 0. What is u? -3, 2/3 Let o(f) = f**5 + f**4 + f**2. Let d be (-1 + -3)/12*-3. Let t(p) = p**5 + 11*p**4 - 20*p**3 - 84*p**2 + 80. Let c(g) = d*t(g) + 4*o(g). Factor c(q). 5*(q - 2)*(q - 1)*(q + 2)**3 Let c(n) be the third derivative of -n**7/210 + n**6/30 - n**5/10 + n**4/6 - n**3/6 + 12*n**2 + n. Factor c(b). -(b - 1)**4 Let v(l) = 7*l**4 + 49*l**3 + 73*l**2 + 35*l + 2. Let n(f) = 15*f**4 + 100*f**3 + 145*f**2 + 70*f + 5. Let h(b) = -2*n(b) + 5*v(b). Factor h(p). 5*p*(p + 1)**2*(p + 7) Let k be 56/(-532) + (1916/152 - 2). Let k*x**2 - 3/2*x**3 - 45/2*x + 27/2 = 0. What is x? 1, 3 Suppose -5*w - 4 = 4*d + 11, -4*w = 3*d + 12. Let j(a) be the third derivative of -1/7*a**3 + 1/140*a**5 + d - a**2 - 1/56*a**4 + 0*a. What is x in j(x) = 0? -1, 2 Let 953*c - 100 + 0*c**4 + 95*c**2 - 45*c**3 - 908*c + 5*c**4 = 0. What is c? -1, 1, 4, 5 Let n be (-1168)/144 + (144/40)/(4/10). Factor -n*o + 0 + 8/9*o**2 - 2/9*o**3. -2*o*(o - 2)**2/9 Let n be (5/(-45)*22)/((-16)/6). Let i = -7/12 + n. Factor 1 + 4/3*x + i*x**2. (x + 1)*(x + 3)/3 Suppose k = -2*p - 0*k + 61, -4*k - 64 = -3*p. Suppose 20 - 96*y**3 - 46*y**4 - 2 + 18*y**2 + p*y + 47*y + 10*y**4 + 21*y**5 = 0. Calculate y. -1, -2/7, 1, 3 Let c be (-1)/(558/134) - 3/(-27). Let u = 82/155 + c. Factor 0 - u*t + 1/5*t**2. t*(t - 2)/5 Let o be 12*(-1 + 3/2). Let m be (o/(-2))/(3/(-3)). Factor 6*s**2 - 2*s - m*s**3 - 6*s**4 + 3*s**4 + 2*s. -3*s**2*(s - 1)*(s + 2) Solve -1/5*h**5 + 28/5*h**2 + 12/5*h**3 - 1/5*h**4 + 0 + 16/5*h = 0. -2, -1, 0, 4 Let d = 31581/2 + -15790. Suppose 1/6*b**5 - 2/3*b**3 - 1/3*b**2 + 1/3*b**4 + 0 + d*b = 0. What is b? -3, -1, 0, 1 Suppose 0 = 5*a - 2 - 28. Let f(c) = -4*c**3 + c**2 - c - 2. Let d be f(-1). Factor 0*p**d - 11*p**4 + a*p**4. -5*p**4 Let n = 16 - 18. Let u be (-11 + 3)/(-2) - n. Factor 0*l - 8*l + 1 + l**2 + u*l. (l - 1)**2 Let v(d) be the first derivative of d**8/3360 + d**7/1680 - 16*d**3/3 + 19. Let j(z) be the third derivative of v(z). Factor j(t). t**3*(t + 1)/2 Factor 0 + 1/4*o**2 - 6*o + 6*o**3 - 1/4*o**4. -o*(o - 24)*(o - 1)*(o + 1)/4 Let i(p) be the third derivative of -p**6/40 + 771*p**5/20 - 198147*p**4/8 + 16974593*p**3/2 + 582*p**2. Let i(c) = 0. What is c? 257 Let v(o) be the third derivative of -o**5/36 - 5*o**4/2 - 55*o**3/2 - 112*o**2. Let v(d) = 0. What is d? -33, -3 Let r(c) be the first derivative of 2*c**5/5 + c**4 - 16*c**3/3 - 18*c**2 - 18*c + 112. Factor r(l). 2*(l - 3)*(l + 1)**2*(l + 3) Suppose -t - 5 = -1. Let a be t/2 + (-120)/(-55). Suppose -4/11 + 2/11*h**2 - a*h = 0. What is h? -1, 2 Let 4967 + 974*p + p**2 + 1922 - 1140*p = 0. Calculate p. 83 Let b(j) = 12*j**3 - 8*j**2 + 6*j + 5. Let x(v) = 38*v**3 - 24*v**2 + 18*v + 16. Let q(r) = 16*b(r) - 5*x(r). Determine t, given that q(t) = 0. 0, 1, 3 Suppose -10*s + 36 = 16. Let l(w) be the second derivative of -3/20*w**5 + 0 - 2*w - 3/2*w**3 - 3/2*w**s - 3/4*w**4. Factor l(u). -3*(u + 1)**3 Let c(j) be the third derivative of 0*j**4 - 11/420*j**7 + 0*j - 1/120*j**5 + 5/672*j**8 - 13*j**2 + 0*j**3 + 0 + 7/240*j**6. Determine m, given that c(m) = 0. 0, 1/5, 1 Factor -88*o**3 + 35*o**3 - 9*o + 12*o**4 - 6 + 8*o**3 + 48*o**2. 3*(o - 2)*(o - 1)**2*(4*o + 1) Let s be (15/(-35))/(18/(-126)). Factor 0*l + 2/5*l**5 + 6/5*l**4 + 6/5*l**s + 2/5*l**2 + 0. 2*l**2*(l + 1)**3/5 Let o = -212/23 + 2802/299. Let -o*d**3 + 0*d + 0 + 0*d**2 + 2/13*d**4 = 0. What is d? 0, 1 Let m(s) be the second derivative of -s**6/210 - s**5/60 + s**4/12 - s**3/14 + 11*s**2/2 + 14*s. Let t(k) be the first derivative of m(k). Factor t(o). -(o - 1)*(o + 3)*(4*o - 1)/7 Let n(d) = d**3 - 10*d**2 + 8*d + 15. Let p be n(9). Factor -2*o**4 + 4*o**3 - 5*o**3 - p*o**4 + 4*o**5 + 5*o**3. 4*o**3*(o - 1)**2 Suppose 2/3*v**2 - v + 0 + 1/3*v**3 = 0. Calculate v. -3, 0, 1 Suppose 312/5 - 3*b**2 - 774/5*b = 0. What is b? -52, 2/5 Let p(m) be the third derivative of 0 + 0*m - 31*m**2 - 1/120*m**5 - 1/240*m**6 + 0*m**3 + 0*m**4. Factor p(v). -v**2*(v + 1)/2 Let k(n) be the second derivative of 17*n + 1/2*n**6 + 0*n**2 + 1/2*n**5 + 0*n**3 + 0*n**4 + 5/42*n**7 + 0. Factor k(l). 5*l**3*(l + 1)*(l + 2) Let k(o) be the third derivative of -o**7/42 - o**6/24 + 3*o**5/4 - 55*o**4/24 + 10*o**3/3 - 882*o**2. Factor k(s). -5*(s - 1)**3*(s + 4) Let n(l) be the first derivative of 0*l**2 + 12 + 2/3*l**3 + 0*l + 1/2*l**4. Solve n(c) = 0. -1, 0 Factor 0 + 0*o + 2/3*o**2 + 2/3*o**4 + 4/3*o**3. 2*o**2*(o + 1)**2/3 Suppose 5*b = -12 + 2, k + 6 = -3*b. Let h(v) be the third derivative of 1/120*v**5 + 0 - 1/12*v**3 - 8*v**2 + k*v + 1/32*v**4. Factor h(s). (s + 2)*(2*s - 1)/4 Let j be (-2*(-8)/(-6))/(17/((-306)/12)). Factor 0*f**2 - 2/9*f**j + 0*f + 0 + 0*f**3 + 2/9*f**5. 2*f**4*(f - 1)/9 Let t = 52 + -35. Let x = 22 - t. Factor 0*m**x + 6*m**3 + 4*m**3 + 6*m + 10*m**2 + 5*m**4 - m + 1 + m**5. (m + 1)**5 Let n be 21/(-70)*40/(-60). Suppose -n*d**2 + 1/5*d**4 + d**3 - 1/5*d**5 - 8/5*d - 4/5 = 0. What is d? -1, 2 Suppose -39/2*s + 18 + 3/2*s**2 = 0. Calculate s. 1, 12 Let v(s) be the second derivative of s**6/10 - 3*s**4/4 + s**3 - 26*s. Solve v(u) = 0 for u. -2, 0, 1 Let x(d) be the second derivative of -5/3*d**3 + 0 - 40*d + 0*d**2 + 1/6*d**6 - 3/4*d**5 - 25/12*d**4 + 5/42*d**7. What is j in x(j) = 0? -1, 0, 2 Suppose -3 = -3*q - 3*z, 6*q - 8*q - 3*z - 1 = 0. Let t(x) be the first derivative of 3/4*x**q - 3 + 0*x + 0*x**3 + 0*x**2. What is h in t(h) = 0? 0 Let a(t) be the third derivative of -t**6/300 - 17*t**5/150 - 31*t**4/60 - t**3 + 6*t**2 + 6. Find c, given that a(c) = 0. -15, -1 Let h(l) be the second derivative of 2*l**7/21 + 22*l**6/5 + 318*l**5/5 + 766*l**4/3 + 470*l**3 + 450*l**2 - 171*l. Factor h(v). 4*(v + 1)**3*(v + 15)**2 Let k be ((-12)/(-14))/((-37)/((-17612)/663)). Find b, given that 22/13*b**2 - 2/13*b**4 + 0 - k*b**3 - 12/13*b = 0. -6, 0, 1 Let h be (((-3300)/(-175))/(-33))/(-1). Factor h - 2/7*i**3 + 8/7*i**2 - 10/7*i. -2*(i - 2)*(i - 1)**2/7 Let y(p) = -p**2 - 4*p + 1. Let f = -11 - -17. Suppose -11 = -5*h - f. Let k(r) = 1. Let i(a) = h*y(a) - 5*k(a). Suppose i(w) = 0. Calculate w. -2 Let m(d) be the first derivative of 5*d**6/6 + 13*d**5/5 + 11*d**4/4 + d**3 + 106. Factor m(k). k**2*(k + 1)**2*(5*
{ "pile_set_name": "DM Mathematics" }
(v) = 4*v**3 - 16*v**2 + 8*v - 8. Is 12 a factor of d(4)? True Suppose -4*z - p = -3608, 113*p = 111*p. Does 28 divide z? False Let s(h) = -h**3 - 32*h**2 + 43*h - 26. Is s(-36) a multiple of 10? True Let x(p) = -2*p**3 - 15*p**2 + 8*p - 5. Is x(-11) a multiple of 4? False Suppose -22 = -2*l - 0*u - u, 0 = -4*l - 3*u + 44. Let p = -9 + l. Suppose 28 = p*a + 2*a. Is 3 a factor of a? False Let q(r) = -2*r + 5. Let l(b) = b - 3. Let t(y) = 9*l(y) + 4*q(y). Let v be t(10). Suppose -v*c = -3*d - 114, -2*c + 4*c = -4*d + 52. Does 19 divide c? False Let w(g) be the third derivative of -g**4/4 - 5*g**3/6 - 14*g**2. Is 3 a factor of w(-2)? False Does 5 divide (5 - -25)/6 - -130? True Suppose 5*n - 3375 = -5*f - 1270, -5*n - 1287 = -3*f. Does 53 divide f? True Suppose 4*o + 2*o + 30 = 0. Let m = -17 - -32. Let v = m + o. Is v a multiple of 10? True Let f be -3*((-32)/(-12) + -3). Let t be (f/2)/(2/20). Suppose 0*o - 300 = -5*p + 2*o, -3*p = -t*o - 180. Is 11 a factor of p? False Suppose 163 = 2*o - 125. Is 17 a factor of o? False Let z be 27/6 - 4/8. Let q(v) = v + 2. Let w(l) = 2*l + 5. Let u(m) = z*w(m) - 11*q(m). Is u(-5) a multiple of 8? False Does 21 divide (-45)/(-60) - (-3267)/12? True Suppose j + j = -8, 1035 = 3*s + 3*j. Does 42 divide s? False Suppose 3*f = 7*f. Let t be f - 2/8*4. Does 4 divide 4*-2*t/2? True Suppose 33*p + 9*p - 11340 = 0. Is p a multiple of 45? True Let z be (-2 - (-8)/3)*18. Let f be (45/z)/(2/32). Is 4 a factor of (f/(-21))/((-2)/7)? False Let g be 9/(-6) - (-132)/(-8). Does 27 divide 158/6 - 12/g? True Let x(l) = -10*l**2. Let u be x(1). Let h = 15 + u. Suppose 5*w - 25 = h*b, 6*b = 2*w + 2*b - 4. Is 2 a factor of w? True Let m = 126 - -71. Let s = m - 109. Does 7 divide s? False Suppose 39791 - 11391 = 40*k. Is 14 a factor of k? False Let n(t) be the first derivative of -5*t**4/4 - 4*t**3/3 - 3*t**2/2 - 4*t + 2. Let p be n(-3). Is (1 - 2)/((-4)/p) a multiple of 9? False Let l(h) = -h**2 + 4*h - 2. Let g be l(3). Does 5 divide 30/(3*g/2)? True Let j be 3/((-5)/80*-4). Suppose 0 = -j*a - 57 + 537. Is a a multiple of 8? True Suppose 0 = -4*p - p + 20. Let y be 16 + p/((-4)/(-1)). Let j = y + 8. Does 11 divide j? False Let a(m) = 110*m**3 - 2*m**2 + 2*m. Let h(g) = g**3 - 14*g**2 - 15*g + 1. Let s be h(15). Does 5 divide a(s)? True Let a be (-180)/(22/(-6) + 3). Suppose -2*z = -2*k - 240, a + 90 = 3*z + 3*k. Does 28 divide z? False Let y(j) = -j**2 - 27*j + 60. Suppose -26 + 103 = -3*z - 4*f, 4*f = 4. Is y(z) a multiple of 10? True Let p(r) = -7 + 5*r + 19 + 13*r. Is 20 a factor of p(6)? True Is 36 a factor of 52/234*18/1 + 284? True Let j be -1*(4 + -3 + 6). Let x(u) = -u**3 - 6*u**2 - 2*u + 13. Is 16 a factor of x(j)? False Let r be (-1)/(-3) + 6560/30. Let m = r + -131. Does 22 divide m? True Suppose 0 = y - 4*n + 22, 0 = -n + 4 - 0. Let d = 42 - y. Is 16 a factor of d? True Suppose m = 2*w + w + 236, w = 3*m - 92. Let l = w - -149. Suppose 0 = 3*z - l - 48. Does 9 divide z? False Let w = 80 - 38. Suppose -4*n + n + w = 0. Is 14 a factor of n? True Let b be 12/14*14/3. Does 28 divide (-12)/8 - (-118)/b? True Suppose -2*x - 4*b + 66 = -38, 185 = 5*x - 5*b. Let y = x + 9. Does 19 divide y? False Suppose 103*s + 740 = 108*s. Is s a multiple of 37? True Suppose 193 = 5*i - 4687. Does 16 divide i? True Let l be (2 - -6)*(-17 + 5). Let s be (3/(-6))/((-1)/l). Is (51/(-4))/(18/s) a multiple of 13? False Is 379 + 9/(27/(-15)) a multiple of 13? False Suppose -966 = -3*k - 342. Does 13 divide k? True Suppose 25 = 5*x, 6*n - x + 10 = 11*n. Is 20 a factor of 1 + 37 + (-3 - (-6)/n)? False Let u be ((-6)/5)/((-18)/60). Suppose -67 = -3*m - u*k, 20 = m + 2*k - 3*k. Is 7 a factor of m? True Let f = -30 - -35. Suppose -f*y + 2*y = -21. Is 7 a factor of y? True Suppose -o + 6 = 2*n, 14 = 6*n - 2*n + 3*o. Let h be (0 - (n + -3)) + 3. Is 13 a factor of 2 + 38 + 3 - h? True Suppose -7*x - 2676 = -19*x. Is x a multiple of 7? False Is (-21)/(105/(-430)) + (-1 - 1) a multiple of 7? True Let s(m) = 2*m**2 + 5*m - 1. Let h be s(-5). Suppose h*d - 6*d - 3024 = 0. Is 24 a factor of d? True Suppose 0 = p + 7*m - 3*m - 1, 4*p + 4*m + 8 = 0. Let b = 5 - p. Suppose -l - 5*w + 33 = 0, 0*w + 2*w = b. Is l a multiple of 11? False Let j = 18 - 1. Let o = 44 - j. Is 8 a factor of o? False Let i = -3 - 1. Let j be i/10 + 285/25. Suppose -j*d + 9*d = -48. Does 9 divide d? False Suppose 6*b - 17 = -83. Let c = -8 - b. Suppose 4*q = -4, -c*g - 47 = -8*g - 3*q. Is 5 a factor of g? True Let d(m) = 5*m + 135. Is 3 a factor of d(-9)? True Suppose 5*u + 0*u - 30 = 0. Suppose -3*y = -6*y - u. Is 10 a factor of 472/24 + y/(-6)? True Let w(m) = 39*m**3 + 5*m**2 - 6*m + 12. Does 78 divide w(3)? True Let c = -2186 + 3190. Is 17 a factor of c? False Let z(k) = -k**3 - 7*k**2 + 5. Let p be z(-7). Suppose -4*x + 6 = -p*x. Is 9 a factor of (-267)/x + (-4)/(-8)? True Let u(d) = -25*d**3 - 2*d**2 + 1. Suppose -4*m + 4*y + 11 = -5, -3*m - 2*y = 13. Does 6 divide u(m)? True Let v(x) = x**2 + 16*x - 15. Let k be v(-17). Suppose 5*d - 2 = -u, 2*d + 2 = k*u - 2. Suppose -f + z = -3*f + 9, 5*f - u*z - 36 = 0. Is f a multiple of 6? True Let c(s) = -2. Let w be 1/(3 + (-42)/15). Let x(p) = p + 2. Let v(t) = w*c(t) + 4*x(t). Is v(2) a multiple of 6? True Suppose -5*j + 98 = -0*z - 2*z, 32 = 2*j + z. Does 9 divide j? True Let t be (-6)/(10/4 - 4). Suppose 4*z - 160 = -h + 84, -4*z - t*h = -256. Is 15 a factor of z? True Let x = 968 + -626. Is 74 a factor of x? False Let r be 9/(-2)*(-2)/3. Suppose a - 2*z - r = -z, 3 = -2*a - z. Suppose -4*p + y + 32 = 0, -5*p - y + 26 + 14 = a. Is 3 a factor of p? False Let m(z) = z + 3 - 7 + 3 - 2*z. Let f be m(-7). Let s(c) = 5*c - 9. Does 5 divide s(f)? False Let y(c) = c**3 + c**2 + c - 3. Let r be y(0). Let b(o) = o + 13. Let d(p) = 2*p + 25. Let n(m) = r*d(m) + 7*b(m). Does 2 divide n(-14)? True Suppose -5*o - 2*l - 412 = -1159, 5*o - 743 = 2*l. Suppose 3*z - 101 = -5*i + o, -5*z - 5*i + 430 = 0. Is z a multiple of 33? False Let c(r) = 5 - 2*r**2 + 2*r + 10 - 2*r**3 - 12. Let l be c(-2). Is 9 a factor of (26/(-5))/(l/(-70))? False Let k = -46 - -51. Suppose 435 = 4*v - k. Is 31 a factor of v? False Let i(p) = -2*p**3 + 5*p + 12. Does 2 divide i(-2)? True Is 611 + -4 - 5 - 0 a multiple of 7? True Suppose 2*h + 2*h = -12. Let o be -1*(0/h)/2. Suppose o = -3*j - j + 8. Is 2 a factor of j? True Let t = 3 + 2. Let c be t/((-20)/8) - 8. Does 11 divide (88/(-10))/(c/25)? True Let r be (59835/(-65))/(-3) - 2/(-13). Let w = r + -217. Is 18 a factor of w? True Let x be (1/(-5))/((-4)/20). Suppose -x = s - 3. Is 12 a factor of s/(-14) + (-127)/(-7)? False Let c(g) = -g**2 + 12*g - 15. Let y be c(10). Let q be 1/y + 3/(-15). Let i = q - -2. Is 2 a factor of i? True Let u(h) be the third derivative of -h**5/60 - 2*h**4/3 + h**3/3 - 2*h**2. Let c(y) = -y**2 - 4*y + 9. Let p be c(-7). Is u(p) a multiple of 10? True Let j(s) = -31*s**3 + 2*s**2 + s. Let d be j(-1). Let m = 32 + d. Is m a multiple of 8? True Let s = -3702 - -5356. Is 20 a factor of s? False Let y(v) = v**3 + 6*v**2 - 2. Let o be y(-6). Let a = o - -41. Does 6 divide a? False Let u be ((-38)/(-19))/((-2)/(-28)). Suppose -5*i - u = -m, m = 3*m + 4*i - 84. Does 19 divide m? True Let z = 6 + -4. Suppose -11 = -5*l - 4*u, 0 = 2*l - 2*u - z*u + 18. Is 4 a factor of 26/5 - l/(-5)? False Let h = -59 - -10. Is (-4 - -3) + h/(-2)*2 a multiple of 16? True Let i be 2*((-2)/(-6))/(2/(-3)). Does 42 divide -1 - (i + (-188)/(12/3))? False Let x(b) be the second derivative of b**5/20 + b**4/12 + b**3/6 + 4*b**2 + 14*b. Let d(a) = a + 11. Let g be d(-11). Is 4 a factor of x(g)? True Let f = 6 + -6. Suppose f = -5*d + 53 + 112. Suppose 9 + d = 3*j. Does 7 divide j? True Let c(w) be the first derivative of w**3 + w**2/2 + 2. Let x be c(-1). Suppose -4*f + 3*s = -x*f - 121, 0 = -5*s + 25. Does 32 divide f? False Let m be (-26)/13 + 4/1. Let f(r) = 2 - m*r + 0*r + 34*r**3 + 0*r**2 + 0 + r**2. Does 7 divide f(1)? True Let l be 63*1*(0 - 1). Let o = -34 - l. Let t = o + -7. Does 16 divide t? False Suppose -28*l + 12067 = -2381. Is l a multiple of 86? True Let u(s) = -108*s + 40. Let b(k) = -53*k + 20. Let l(t) = 13*b(t) - 6*u(t). Does 15 divide l(-5)? True Let k be (((-1)/(-2))/(-1))/((-2)/976). Let x = k + -114. D
{ "pile_set_name": "DM Mathematics" }
0181385 to 3 dps. -0.102 Round -934.8294 to the nearest one hundred. -900 What is 0.0149856 rounded to 4 dps? 0.015 What is 984.443 rounded to the nearest integer? 984 Round -86981.23 to the nearest 1000. -87000 What is -7.218521 rounded to 1 dp? -7.2 Round 1353.656 to the nearest one hundred. 1400 What is 0.3993051 rounded to three decimal places? 0.399 Round -6.2066 to the nearest 10. -10 Round -9.87127 to 2 dps. -9.87 Round 10.259205 to zero decimal places. 10 What is 0.02543201 rounded to 3 decimal places? 0.025 Round -22.3042 to zero decimal places. -22 What is 0.0001569893 rounded to six dps? 0.000157 Round 2.4354309 to 2 dps. 2.44 What is -0.02023282 rounded to 5 dps? -0.02023 Round -0.00016758301 to 5 decimal places. -0.00017 Round -12600.8 to the nearest 1000. -13000 Round -0.007074456 to three decimal places. -0.007 Round -0.001253595 to five decimal places. -0.00125 What is 0.1193138 rounded to two decimal places? 0.12 What is -0.000000208553 rounded to 7 decimal places? -0.0000002 Round 723852 to the nearest 100000. 700000 What is 658682 rounded to the nearest one thousand? 659000 Round 0.0001410821 to 5 decimal places. 0.00014 What is 38.945384 rounded to two decimal places? 38.95 Round 0.000225105 to four dps. 0.0002 Round -51.6052 to the nearest ten. -50 What is 392114 rounded to the nearest 1000? 392000 What is -0.25156011 rounded to three decimal places? -0.252 What is -0.003965447 rounded to four dps? -0.004 Round 39800.27 to the nearest 100000. 0 What is -0.01928969 rounded to 2 dps? -0.02 Round -6010.639 to zero dps. -6011 What is 0.004593111 rounded to 3 decimal places? 0.005 Round 2191.176 to zero decimal places. 2191 Round -0.20395523 to 4 dps. -0.204 What is -0.1506579 rounded to 2 decimal places? -0.15 What is 0.8403108 rounded to 2 dps? 0.84 Round -32.3309 to the nearest 10. -30 What is -124.7171 rounded to 1 decimal place? -124.7 What is -7248491.2 rounded to the nearest one million? -7000000 Round -0.00129617 to six decimal places. -0.001296 What is 0.0000029199 rounded to 6 dps? 0.000003 What is -1429.319 rounded to the nearest 100? -1400 What is 1763.952 rounded to the nearest integer? 1764 What is 0.0000166298 rounded to 5 dps? 0.00002 Round 0.000086457588 to five decimal places. 0.00009 What is -1.835324 rounded to the nearest integer? -2 What is 0.0000127012 rounded to 5 decimal places? 0.00001 Round -0.004671615 to 6 dps. -0.004672 Round 1137.483 to the nearest 10. 1140 What is -0.058949 rounded to 1 decimal place? -0.1 What is -0.000185077 rounded to 5 dps? -0.00019 Round 56000.71 to the nearest one hundred. 56000 Round -4495300 to the nearest one million. -4000000 What is -0.03964646 rounded to 5 decimal places? -0.03965 Round -0.00004275612 to six dps. -0.000043 Round -0.004677052 to four decimal places. -0.0047 What is -581198 rounded to the nearest ten thousand? -580000 What is 0.00889614 rounded to five dps? 0.0089 Round 0.0000303083 to 6 decimal places. 0.00003 What is 15240976 rounded to the nearest ten thousand? 15240000 What is 225484.6 rounded to the nearest one thousand? 225000 Round 0.1710254 to four dps. 0.171 What is 888.116 rounded to the nearest one hundred? 900 Round 0.00005199651 to 5 dps. 0.00005 What is -0.052074 rounded to two decimal places? -0.05 What is -742.6 rounded to the nearest ten thousand? 0 What is 0.061037 rounded to three dps? 0.061 What is 743991.3 rounded to the nearest 100000? 700000 What is -0.009457 rounded to three decimal places? -0.009 What is 0.000000328306 rounded to 6 decimal places? 0 Round 0.006980503 to five dps. 0.00698 What is -0.0000010907014 rounded to seven decimal places? -0.0000011 Round -0.0000282862 to 5 dps. -0.00003 What is -0.000001054324 rounded to seven decimal places? -0.0000011 What is -134.0417 rounded to the nearest 10? -130 Round -0.00163814 to 5 dps. -0.00164 What is 0.02850544 rounded to five dps? 0.02851 Round -3352.216 to the nearest ten. -3350 Round 2.8294977 to two decimal places. 2.83 Round 2.1362 to 2 dps. 2.14 What is -384.19927 rounded to the nearest 10? -380 What is -3092271 rounded to the nearest one hundred thousand? -3100000 Round -0.0027223118 to five decimal places. -0.00272 What is -3578.32 rounded to the nearest ten? -3580 What is -0.00000924937 rounded to 6 dps? -0.000009 What is 0.0000862334 rounded to 6 dps? 0.000086 What is 0.00011538731 rounded to five dps? 0.00012 What is -0.00180412 rounded to five dps? -0.0018 What is -0.0000077911 rounded to six dps? -0.000008 What is 18.428027 rounded to the nearest integer? 18 What is 166663966 rounded to the nearest 100000? 166700000 Round -0.00007842625 to five decimal places. -0.00008 Round -0.0004774318 to five dps. -0.00048 Round -511.81 to the nearest one hundred. -500 What is -321836.5 rounded to the nearest one hundred thousand? -300000 Round 0.0000056071 to 6 decimal places. 0.000006 Round -0.00004264965 to six dps. -0.000043 Round -0.00366226 to 4 decimal places. -0.0037 What is -1834.503 rounded to the nearest 100? -1800 What is -0.00510382 rounded to five decimal places? -0.0051 What is 0.01330344 rounded to three dps? 0.013 What is 0.0030318 rounded to 5 dps? 0.00303 Round -0.027644 to four decimal places. -0.0276 What is -71689600 rounded to the nearest one hundred thousand? -71700000 Round -0.0000061246438 to 6 dps. -0.000006 Round -0.005295721 to six decimal places. -0.005296 Round -20867.8 to the nearest one thousand. -21000 What is -2.543709 rounded to 1 decimal place? -2.5 What is -0.023368381 rounded to three decimal places? -0.023 What is 0.0521857 rounded to three dps? 0.052 Round 0.0378042 to four decimal places. 0.0378 What is -30.535281 rounded to the nearest 10? -30 What is 143.6766 rounded to the nearest ten? 140 What is -0.048055314 rounded to 3 decimal places? -0.048 Round -0.1265582 to four dps. -0.1266 Round 40.524089 to 1 dp. 40.5 Round -0.002443555 to four dps. -0.0024 What is 0.0002285583 rounded to 6 decimal places? 0.000229 Round 1405.224 to the nearest integer. 1405 Round -0.007843536 to five decimal places. -0.00784 What is -760832000 rounded to the nearest one million? -761000000 Round -0.848569 to three decimal places. -0.849 Round -77735.63 to the nearest 1000. -78000 Round -0.00000039204298 to seven decimal places. -0.0000004 Round 3.2145 to the nearest ten. 0 Round -718.98318 to one dp. -719 Round -0.000866085 to 7 decimal places. -0.0008661 What is -0.0293098 rounded to five dps? -0.02931 Round -320.649 to the nearest integer. -321 What is 0.49038053 rounded to three dps? 0.49 What is -0.597162 rounded to 1 dp? -0.6 Round -340.521 to the nearest 100. -300 What is -1.5876993 rounded to three dps? -1.588 Round 0.14899103 to 4 dps. 0.149 What is 0.0004261897 rounded to four dps? 0.0004 What is -106.7068 rounded to the nearest 10? -110 Round 30790350 to the nearest 10000. 30790000 Round -42.34787 to 1 decimal place. -42.3 Round -2097.9754 to the nearest 100. -2100 What is 3727964 rounded to the nearest one million? 4000000 Round 2676024.5 to the nearest 100000. 2700000 Round -10478336900 to the nearest one million. -10478000000 Round -0.000001355264 to 7 dps. -0.0000014 Round -104803 to the nearest 10000. -100000 What is -0.0000436505 rounded to six decimal places? -0.000044 What is -782.29 rounded to the nearest one hundred? -800 What is -1556 rounded to the nearest 1000? -2000 What is 405795 rounded to the nearest one hundred thousand? 400000 Round -0.0326984 to two dps. -0.03 Round -1330560 to the nearest 10000. -1330000 Round -0.00000103780632 to seven dps. -0.000001 What is 8262.78 rounded to the nearest one hundred? 8300 What is 0.0000590768 rounded to 5 decimal places? 0.00006 What is -36432 rounded to the nearest one hundred thousand? 0 What is -36095520 rounded to the nearest 10000? -36100000 Round -0.000155593 to 5 dps. -0.00016 Round 155542060 to the nearest 1000000. 156000000 What is 45.72785 rounded to the nearest integer? 46 Round 415.115 to the nearest 100. 400 Round -0.0008879464 to 7 decimal places. -0.0008879 What is -38.1514 rounded to 1 decimal place? -38.2 Round 9.5516 to the nearest 100. 0 What is -46244200 rounded to the nearest 100000? -46200000 What is -4.0173 rounded to one decimal place? -4 What is 0.0000074748
{ "pile_set_name": "DM Mathematics" }
. Let d = -0.53 + k. What is d rounded to three dps? 0.008 Let j = -59 - -57.15. Let b = -1.8499768 - j. What is b rounded to five decimal places? 0.00002 Let m = 42 - 37. Suppose g + m*g = -384. Let h be ((-11)/((-66)/g))/(4/(-453750)). What is h rounded to the nearest 100000? 1200000 Let k = -42.09 - -27. Let f = -15.087108 - k. What is f rounded to 4 decimal places? 0.0029 Let g = 812698 + -368168. What is g rounded to the nearest ten thousand? 440000 Suppose -10*i + 2033 = -2447. Suppose 2*v + 2688 - i = 0. Round v to the nearest one thousand. -1000 Let y = -57650 - -46701.8. What is y rounded to the nearest 10? -10950 Let i = 2280 - 11046. Round i to the nearest 1000. -9000 Let u = -431 - 2343. Let b = u - -2774.0003698. Round b to five dps. 0.00037 Let x = -794 - -2546. Let h = x + 198. Suppose -b - h = 4*b. Round b to the nearest one hundred. -400 Let t = -962255994634 - -962255995649.999999579. Let x = 1016 - t. What is x rounded to 7 decimal places? 0.0000004 Let p = -67.171566 - -0.052566. Round p to the nearest integer. -67 Suppose -110*g + 105*g - 3*n = 234181, 2*n - 140501 = 3*g. Round g to the nearest ten thousand. -50000 Let c = 123925.050383 + -123925. Round c to two decimal places. 0.05 Let g(a) = -1353487*a - 1104. Let h be g(8). Round h to the nearest one million. -11000000 Let h = -0.80814 + 0.78414124. Let v = 170.124 + -170.1. Let d = h + v. What is d rounded to 6 decimal places? 0.000001 Let w = 12984481.39747967 + -10530028.577482. Let y = w + -2454453. Let v = y + 0.18. What is v rounded to seven dps? -0.0000023 Let m = 644.58 + -758. What is m rounded to the nearest integer? -113 Let x = -273754966 + 273754960.99999998. Let m = -2.57 - 2.43. Let a = x - m. What is a rounded to 7 decimal places? 0 Let d = 18264 - 18263.9987867. Round d to 4 dps. 0.0012 Suppose -2*l = a - 3*a + 29802, 0 = -2*l - 2. Let g = 26826 - a. Suppose 6*q + 674 = -g. Round q to the nearest one hundred. -2100 Let i = -201 + 541. Let k = 100 - i. Let g = k + 187.1. Round g to zero decimal places. -53 Suppose 34*i - 42*i = -72. Suppose 4464 + 1647 = -i*v. What is v rounded to the nearest 10? -680 Let j = -876.8 + 877.047. What is j rounded to 1 decimal place? 0.2 Let j = 10022149.39531 - 10020993.4. Let n = j + -1156. Round n to 3 decimal places. -0.005 Let a = 1.63136 - 1.683. Round a to 2 dps. -0.05 Let y = 77.44264345 + 0.55736275. Let t = 92 - 14. Let n = t - y. Round n to six decimal places. -0.000006 Let u = 600.7696 + -601. Let d = 0.1107 + u. Round d to two dps. -0.12 Let j = 18 - 26. Let s = j - -8.3. Let t = s - 0.32. What is t rounded to three decimal places? -0.02 Let m = 24.0259988159 + -24.026. What is m rounded to 7 decimal places? -0.0000012 Let s = -136558697405 - 233257342182. Let f = 369816039944.999999658 + s. Let b = -358 + f. Round b to 7 dps. -0.0000003 Let m = 571 - 563. Suppose -p + 5*j - 193825 = 0, 5*j = -p + m*j - 193815. Round p to the nearest ten thousand. -190000 Suppose -130*x + 138*x = 3119872. Suppose 5*k - 2*k - 2*a + 389992 = 0, 3*k + x = 4*a. What is k rounded to the nearest one thousand? -130000 Let h = 73.4 - 40. Let w = h - 19.5. Let f = w + -13.89999882. What is f rounded to 7 dps? 0.0000012 Let w = -64.515 + 226.398. Let v = w + -162. Let m = 1.113 - v. Round m to one decimal place. 1.2 Let k = -2055602950.6361507 - -2055603371. Let z = k + -120.3638134. Let i = 300 - z. Round i to six decimal places. -0.000036 Let m = 0 + -410. Let x = m + 410.00626. What is x rounded to 3 decimal places? 0.006 Let u = -60 + 59.755. Let d = u + 0.24912. Round d to four decimal places. 0.0041 Let l(a) = -324*a**2 - 3*a + 6. Let x be l(2). Let q = -597 - x. What is q rounded to the nearest ten? 700 Suppose 5*w = 5*g - 1948100, -4*w + 1948109 = -4*g + 9*g. Suppose 7*b + 162119 = -g. Round b to the nearest one thousand. -79000 Let b = -112.7005008 - -112.7. Round b to four dps. -0.0005 Let m = 353.9 - 359. Let o = 6.967 + m. What is o rounded to one dp? 1.9 Let o = -113.357546 + 243.357447. Let s = 288 + -418. Let c = s + o. Round c to 5 decimal places. -0.0001 Let y = -697438.9 - -697435.44000931. Let c = 3.46 + y. What is c rounded to seven dps? 0.0000093 Let n = -0.0381 + 2.7001. Round n to 1 decimal place. 2.7 Let o = -576 - -575.9653. Let r = 0.031404 + o. What is r rounded to 4 dps? -0.0033 Let x = 45132.20617 - 45132. What is x rounded to two dps? 0.21 Let r = 34.373989 + -2.275733. Let b = r + -32.1. What is b rounded to 4 decimal places? -0.0017 Suppose -2*u - 5*o = -20, 4*u + 0 = 2*o + 16. Suppose -5*t = -3*s - 10560005, -u*s + 6137922 = 2*t + 23737920. Round s to the nearest one million. -4000000 Suppose -2*d + 27 = 23. Suppose d*m + 1734 = 8*m. Suppose 3*r + 2*y + 211 = 6*r, 4*r - m = -5*y. Round r to the nearest ten. 70 Let h = -43.308 + 246.038. Round h to the nearest 10. 200 Let c = -1641343870534 + 1641343791660.8399999. Let j = c + 78872.82. Let m = -0.34 - j. Round m to 6 dps. 0 Let b = -9240 - -8506.69. Let q = b + 744.16103. Let g = q - 10.84. Round g to 3 decimal places. 0.011 Let v = -163 - -278. Let l be (15088/v)/(4119/(-4125) + 1). Round l to the nearest one thousand. 90000 Let k = -3175 + 3237.06. Let v = 63 - k. Let q = -0.9400336 + v. Round q to 6 dps. -0.000034 Let n be -4 + (-31)/(-7) - 12670485/21. Let h = -414756 - n. Round h to the nearest 10000. 190000 Let y = -40310 + 40309.959598. Round y to three decimal places. -0.04 Let z = 1296405.99354 - 1296758. Let x = 208.8 - -143.2. Let j = x + z. Round j to 3 decimal places. -0.006 Let y = -1465.17831 - 0.02169. What is y rounded to the nearest one thousand? -1000 Let h be 6/(-39) + (-836605)/65. Suppose 2*z + 57716 = 6*z. Let w = z - h. Round w to the nearest 1000. 27000 Let u(t) be the third derivative of -193*t**5/60 - 7*t**4/24 - t**3/2 - 41*t**2. Let v be u(2). Round v to the nearest 100. -800 Let a(t) = -t - 4. Let h be a(-6). Let z be (2602 - (-12)/(-3)) + h. Suppose 30*o + z = 25*o. What is o rounded to the nearest one hundred? -500 Suppose 17*n - 21*n = 108. Let o be 98/(9/(n/(-6))*-1). What is o rounded to the nearest 10? -50 Let z = 11028.0000023674 + -11028. What is z rounded to 7 decimal places? 0.0000024 Suppose -l = 3*l - 8. Let z(d) = -d - 3*d**2 + 2*d + 5*d + 5 + 9*d**l - 679*d**3. Let f be z(-5). What is f rounded to the nearest 10000? 90000 Let v = -24.6 - -17.64. Let l = v - 0.54. Round l to the nearest ten. -10 Let l = -0.10972 - 8.63628. What is l rounded to zero decimal places? -9 Let j(d) = 2*d**3 - 16*d**2 + 26*d + 32. Suppose 3*t - 3*n + 252 = 0, -4*t - n = -2*t + 153. Let a = t + 92. Let r be j(a). Round r to the nearest 100. 2100 Let j = 112757.16 - 3429822.66. Let v = -3316961.499874 - j. Let p = 104 - v. What is p rounded to five dps? -0.00013 Suppose -8*p + 5*n = -3*p - 35, 2*p - 29 = 5*n. Let w(a) = 1606*a**2 + 5*a - 14. Let s be w(p). Round s to the nearest one thousand. 6000 Let v(c) = 4943*c**2 - 75*c - 450. Let y(x) = -1648*x**2 + 25*x + 150. Let r(s) = -3*v(s) - 8*y(s). Let n be r(-10). Round n to the nearest 10000. -160000 Let u(i) = -30416*i - 312. Let h be u(43). What is h rounded to the nearest ten thousand? -1310000 Let l = -1.83706628 + 1.837. Round l to 6 decimal places. -0.000066 Let f = 1624.7 - 1624.699994379. Round f to 5 dps. 0.00001 Let r = -23154.968838 + 23155. Round r to 4 dps. 0.0312 Let d(j) = 13213*j + 2315. Let v be d(-55). Round v to the nearest ten thousand. -720000 Let l = 0.17364 - 0.17375556. Round l to 5 dps. -0.00012 Let v = -1506.5 - -1550. What is v rounded to the nearest ten? 40 Let g = -312 - -212. Let k = -178 - g. Let v = -78.00000124 - k. What is v rounded to 7 decimal places? -0.0000012 Suppose -5*o - 5*i + 46 = -i, -3*i = -2*o + 23. Suppose 0 = o*m - 12*m + 692174. Let b = m - 246087. What is b rounded to the nearest 100000? 100000 Let g = 3.010071152 + 1014.989978748. Let y = g + -1018. What is y rounded to 5 dps? 0.00005 Suppose -94*i - 586401 = -97*i. Suppose -i = -37*r + 3671033. Round r to the nearest ten thousand. 100000 Let g = 2.6082 - 3.111. Let s = g + 0.094. What is s rounded to 2 dps? -0.41 Let t = -1550 + 2340. Let w = 4661562017 + -4661562806.9999453. Let y = t + w. Round y to five dps. 0.00005 Let i = -1556.301698438 - -1556.317. Let p = 0.0153 - i. Round p
{ "pile_set_name": "DM Mathematics" }
- -39. Factor i*n + 3*n**2 - 6 + 0*n + 3. 3*(n - 1)*(n + 1) Let d(w) be the second derivative of w**7/672 - w**6/288 - w**5/96 + 5*w**4/96 + w**3/3 - 2*w**2 + 31*w. Let p(i) be the second derivative of d(i). Factor p(t). 5*(t - 1)**2*(t + 1)/4 Let w(l) = -37*l - 1776. Let a be w(-48). Find z, given that a - 2/3*z + z**2 = 0. 0, 2/3 Determine k, given that -26/7*k**2 + 2/7 + 24/7*k = 0. -1/13, 1 Let l(j) = 16*j - 6 - 6*j - j. Let c be l(2). Solve k**2 + 22*k - 2*k - 5*k**2 - 4*k**2 + c = 0 for k. -1/2, 3 Let p = 885 + -18589/21. Let v = p - -6/7. Determine z so that 4/3*z**2 + 0 + v*z**5 + 0*z**3 - 2/3*z - 4/3*z**4 = 0. -1, 0, 1 Let x(f) = -f**2 + 24*f - 41. Let h be x(22). Suppose 36/5*q**2 - 144/5*q - 3/5*q**h + 192/5 = 0. Calculate q. 4 Let v(d) = d**2 + 5*d + 4. Let x be v(-5). Suppose k - 185 = -x*k. Factor 10*l**4 - k*l**4 - 21*l**5 + 0*l**3 - 2*l**3 - 4*l**3. -3*l**3*(l + 1)*(7*l + 2) Suppose -95 - 88 = 38*w - 183. What is j in 1/9*j**4 + w + 2/9*j - 1/3*j**2 + 0*j**3 = 0? -2, 0, 1 Let s be (0 - -1)/((-270)/369) - 0. Let w = s - -17/10. Factor 1/3*u**3 + 1/3 - 1/3*u - w*u**2. (u - 1)**2*(u + 1)/3 Let -135/4*x**2 - 2835/8*x + 75/4*x**3 - 3969/8 - 3/8*x**5 + 15/8*x**4 = 0. Calculate x. -3, 7 Let q be (-65)/78*(-5)/50*27. Let i(w) be the second derivative of -1/2*w**3 + 0 + q*w**2 + 1/24*w**4 - 8*w. Suppose i(o) = 0. What is o? 3 Suppose i = 2*p, i + i + 2 = 5*p. What is w in 81*w**4 + 60*w**p - 12*w + 56*w**4 - 33*w**3 - 242*w**4 = 0? -1, 0, 2/7, 2/5 Let q(l) be the first derivative of -l**7/980 - l**6/210 + l**5/20 - l**4/7 + 34*l**3/3 - 3. Let s(m) be the third derivative of q(m). Factor s(o). -6*(o - 1)**2*(o + 4)/7 Factor 4*w**4 + 45*w + 27 - 112*w**2 - 104*w**3 + 59 + 22 + 59*w. 4*(w - 27)*(w - 1)*(w + 1)**2 Let s(j) = j**3 - j**2 - 2*j + 24. Let r be s(0). Suppose 2*d = c + 10, -r = -4*d + 4*c - 0*c. Factor 1/5*f**d + 0*f**2 + 1/5*f**5 + 0*f + 0*f**3 + 0. f**4*(f + 1)/5 Let q = -62 + 2419/39. Let o(v) be the third derivative of 0*v**5 + 1/78*v**4 - q*v**3 + 0 + 1/1365*v**7 + 0*v - 1/390*v**6 - 5*v**2. Let o(b) = 0. Calculate b. -1, 1 Let -60800*x**3 + 960171 - 7000255 - 804*x**4 - 4*x**5 - 2060000*x**2 - 27000000*x - 18959916 = 0. Calculate x. -50, -1 Let w = -13 - -85. Find l such that 32*l - 354*l**3 - 282*l**4 + 12 + 7*l - 63*l**2 - 90*l**4 - w*l**5 = 0. -4, -1/2, 1/3 Let w(c) be the second derivative of -13*c**4/36 + 41*c**3/18 - c**2 - 323*c. What is b in w(b) = 0? 2/13, 3 Let i(l) = -l**4 - 4*l + 4*l - l. Let c(s) = -s**4 - 12*s**3 + 18*s**2 - 16*s + 3. Let m(p) = c(p) - 4*i(p). Factor m(d). 3*(d - 1)**4 Let v(n) be the second derivative of n**5/60 + 29*n**4/36 + 65*n**3/6 - 75*n**2/2 - 4*n - 16. Factor v(o). (o - 1)*(o + 15)**2/3 Let j(u) be the second derivative of -u**7/1890 + u**6/1080 + u**5/270 - 3*u**2 - 13*u. Let s(b) be the first derivative of j(b). Let s(m) = 0. What is m? -1, 0, 2 Solve -38/3*q - 88/3*q**3 - 16/3 + 133/3*q**2 + 3*q**4 = 0. -2/9, 1, 8 Let g(r) = 20*r**2 + 28*r + 3. Let t(w) = 20*w**2 + 28*w + 2. Let h(c) = -6*g(c) + 5*t(c). Factor h(f). -4*(f + 1)*(5*f + 2) Let x(p) be the first derivative of 3/28*p**4 + 1/35*p**5 + 0*p + 1/7*p**2 - 1/42*p**6 - 17 - 5/21*p**3. Factor x(i). -i*(i - 1)**3*(i + 2)/7 Let x(w) be the third derivative of 5*w**8/336 - w**6/8 - w**5/6 + 3*w**2 + 31*w. Factor x(l). 5*l**2*(l - 2)*(l + 1)**2 Let r(x) = x**3 + 6*x**2 + 7*x + 16. Let d be r(-5). Let v be ((-1)/d - 0)*(-15)/5. Determine h, given that v*h**2 + 1/2*h**3 + 0 + 0*h = 0. -1, 0 Suppose 4*d - 105 = 111. Find r such that 20*r**3 - 85*r + 95*r - 5 - 19*r**2 + d*r**2 = 0. -1, 1/4 Suppose 5*l - 20 = -o, 0 = 2*l - 14 + 6. Suppose -b + 4 = -o*b. Factor -27 + 160*c + 175*c**2 + 2*c**5 + 91 - 15*c**2 + 8*c**4 + 12*c**b + 80*c**3. 2*(c + 2)**5 Let m(r) be the first derivative of r**9/27216 - r**7/3780 + r**5/1080 + 7*r**3/3 - 36. Let v(w) be the third derivative of m(w). Find g, given that v(g) = 0. -1, 0, 1 Suppose -3*o + 4*r + 40 = -o, -5*o - 4*r = -72. Let y = -16 + o. Factor 2/11*g**3 + y + 0*g - 4/11*g**4 + 2/11*g**5 + 0*g**2. 2*g**3*(g - 1)**2/11 Factor -2*a**4 + 12*a**2 + 27*a**2 + 17*a**2 + 83*a + 8*a**3 - 19*a. -2*a*(a - 8)*(a + 2)**2 Let c(u) = -u - 10. Let l be c(-12). Suppose -3*x**l + 3 - 2*x**3 + x + 5*x**3 - 4*x = 0. Calculate x. -1, 1 Suppose -1 = 5*x - 11. Suppose -2*l + 9 = l. Factor -2*d**l - 48 + 48 - 2*d**x. -2*d**2*(d + 1) Let t(m) be the first derivative of m**6/4 - 4*m**5/5 + 3*m**4/8 + m**3/3 + 13. Suppose t(i) = 0. Calculate i. -1/3, 0, 1, 2 Let i be -23 - (-4225)/150 - (6 - 1). Factor -2/3 + 1/2*w + i*w**2. (w - 1)*(w + 4)/6 Let h be 2 - ((-8)/2 - -4). Let n be (h - -1) + (-11 - -10). Factor 4*b**2 + 3*b**3 + 9*b - 7*b**2 + 7*b**n + 5*b**2 + 3. 3*(b + 1)**3 Let r(j) be the first derivative of 0*j + 1/3*j**4 + 0*j**3 + 0*j**2 - 6 + 2/9*j**6 - 2/3*j**5. Solve r(c) = 0 for c. 0, 1/2, 2 Let d be (0 - -2 - 5)/((-3)/10). Factor -4*c**2 + d + 2 - 10 + 2. -4*(c - 1)*(c + 1) Let j(q) = q**2 + 3*q - 1. Let n be j(-4). Suppose 0 = 302*i - 300*i. Let 4/5*l**2 + i*l + 0*l**4 + 2/5*l**5 - 6/5*l**n + 0 = 0. Calculate l. -2, 0, 1 Suppose n + 14 = -n + p, -2*n - 6 = 3*p. Let f be ((3/(-27))/(-1))/(-1)*n. Find y such that 2/3*y + 2/3 - 2/3*y**2 - f*y**3 = 0. -1, 1 Let u(p) be the second derivative of -p**4/42 + 40*p**3/7 - 17*p**2 + p - 52. Suppose u(r) = 0. Calculate r. 1, 119 Suppose 4*q + 295 = 5*r, q - 7*r = -4*r - 72. Let h = 75 + q. Suppose h - 1/2*p - 3/2*p**2 = 0. Calculate p. -1/3, 0 Let i be ((-45)/(-36))/((-1)/(-4)). Suppose -4*u - 4 = -i*u. Determine n, given that -3 - 9*n + 3*n**u + 4*n + 6*n**3 + 5*n - 6*n = 0. -1, 1 Suppose -49*c = -83*c + 68. Factor 0 + 9/2*x + 3/2*x**c. 3*x*(x + 3)/2 Let d(k) = 5*k**3 - 2*k + 2. Let i be d(1). Factor 2*v**4 - 22*v**5 + 8*v**i + 15*v**5 + v**3. v**3*(v + 1)**2 Find p, given that 802 + 228*p**2 + 1198 + 600*p + 2*p**3 - 168*p**2 = 0. -10 Suppose 12/5*q - 8 + 4/5*q**2 = 0. What is q? -5, 2 Let b(r) be the third derivative of r**8/1008 + r**7/630 - r**6/120 - r**5/36 - r**4/36 + 61*r**2. Factor b(c). c*(c - 2)*(c + 1)**3/3 Factor -97*m + 78 - 7*m**3 + 125/3*m**2 + 1/3*m**4. (m - 13)*(m - 3)**2*(m - 2)/3 Let k(j) be the first derivative of j**5/50 + 3*j**4/40 - j**3/30 - 3*j**2/20 + 43. Factor k(n). n*(n - 1)*(n + 1)*(n + 3)/10 Let a(g) be the third derivative of g**6/960 - 3*g**5/160 + 9*g**4/64 - 9*g**3/16 - 134*g**2. Factor a(u). (u - 3)**3/8 Let z(o) = 9*o + 1. Let i be z(-1). Let d be (-20)/i - 1/(-2). Factor -3*x + d*x**3 + 2*x - 2*x. 3*x*(x - 1)*(x + 1) Let b(z) = 17*z**3 - 4*z**2 - 47*z - 13. Let u(f) = -8*f**3 + 2*f**2 + 22*f + 6. Let h(v) = 6*b(v) + 13*u(v). Factor h(p). -2*p*(p - 2)*(p + 1) Let v(b) be the second derivative of -b**6/45 + 7*b**5/30 - b**4 + 20*b**3/9 - 8*b**2/3 - 37*b. Let v(y) = 0. Calculate y. 1, 2 Let -o**5 - 4*o**2 - 79 + 156 - 77 + 3*o**4 = 0. What is o? -1, 0, 2 Let c be 0/(2/((-4)/2)). Let b(f) be the third derivative of -f**2 - 1/24*f**4 + 1/120*f**5 + c*f + 1/12*f**3 + 0. Factor b(n). (n - 1)**2/2 Let r(q) = 6*q**4 - 81*q**3 - 316*q**2 - 420*q - 191. Let w(j) = j**4 - 16*j**3 - 63*j**2 - 84*j - 38. Let n(m) = -4*r(m) + 22*w(m). Factor n(c). -2*(c + 1)**2*(c + 6)**2 Let c be 4/2 + (-6)/3. Suppose c = 5*z + 10, 1 - 15 = -5*v + 2*z. Factor -2 - 1/2*k**2 + v*k. -(k - 2)**2/2 Suppose 0 = 213*m - 468 - 70 + 112. Suppose 0 = k + k - 6. Factor 1/5 - 3/5*r**4 + 1/5*r**5 + 2/5*r**k - 3/5*r + 2/5*r**m. (r - 1)**4*(r + 1)/5 Let y(s) be the second derivative of 11*s**5/100 + 3*s**4/4 + 2*s**3/15 - 53*s - 2. Factor y(o). o*(o + 4)*(11*o + 1)/5 Let x(w) be the second derivative of -w**4/24 - 7*w**3/6 - 33*w**2/4 + 121*w. What is v in x(v) = 0? -11, -3 Determine w so that 6953*w**3 - 2*w**4 + 28*w + 4*w**2 - w**4 - 6981*w**3 - 4*w**4 + 3*w**4 = 0. -7, -1, 0, 1 Factor -2/3 - 14/9*p - 4/9*p**2. -2*(p + 3)*(2*p + 1)/9 Let i(o) be the second derivative of o**6/105 + 2*o**5/7 + 16*o**4/7 - 80*o**3/21 - 400*o**2/7 + 152*o. Determine z, given that i(z) = 0. -10, -2, 2 Let k be 2/5*(-7)/84*-20. Factor -1/3*h**3 + 0 + k*h**2 + h. -h*(h - 3)*(h + 1)/3 Let k be 14/21*6/2. Find m such that m**2 - k*m**2 - 3 - 6*m - 2*m**2 = 0. -1 Let t(p) be the first derivative of -6 - 5/2*p**2 + 0*p + 2/33*p**3 - 1/660*p**5 + 0*p**4. Let q(d) be the second derivative of t(d).
{ "pile_set_name": "DM Mathematics" }
10) + 0))**2. 36*sqrt(5) + 1621 Simplify (sqrt(304) + -2 + 4 + -2 + -3)**2 + (-3 + sqrt(2299) + -1 + sqrt(2299) + 0 + -2)**2. -288*sqrt(19) + 9545 Simplify 4 + (sqrt(640)*-2*6 - sqrt(640))/(sqrt(6)/sqrt(3)*-4*-3). -26*sqrt(5)/3 + 4 Simplify ((-5 + (sqrt(2299) + 0)*3)*-4 - ((2 + sqrt(2299))*3 + sqrt(2299) + -4*(sqrt(2299) + 0) + sqrt(2299)))**2. -4004*sqrt(19) + 388727 Simplify -3 + (0 + (sqrt(11)*3)**2 + 5 - (2*sqrt(176) - (sqrt(121)/(sqrt(11) + sqrt(44)) + sqrt(11))))*4. -80*sqrt(11)/3 + 413 Simplify ((-6*(sqrt(1539) + -1 + sqrt(1539) + sqrt(1539)))**2*-2 + ((sqrt(1539)*2 + 1)**2 - (-4 + (sqrt(1539) - 2*sqrt(1539))**2)))*4. -3970888 + 15696*sqrt(19) Simplify (sqrt(198)/sqrt(396) - sqrt(36)/(1*sqrt(2)))/(sqrt(18)/sqrt(2)*3 + sqrt(225)*-1 + sqrt(225)). -5*sqrt(2)/18 Simplify 5*(-1 + (-4*sqrt(16)/sqrt(36))/(sqrt(4)/(sqrt(2) - (2*sqrt(2) - sqrt(2))*5))) + -4. -9 + 80*sqrt(2)/3 Simplify (5 + 1*(3 + sqrt(396) + sqrt(396))*-1 + -2 + sqrt(396) + 0 + (sqrt(396) - (4 + (sqrt(396) - sqrt(396)*-4))))**2. 240*sqrt(11) + 9916 Simplify (((sqrt(2448)*-4 + sqrt(2448) - sqrt(2448)) + sqrt(2448) - (3*sqrt(187))/sqrt(11)) + -6*(sqrt(272) - (sqrt(272) - sqrt(272)*1))*-6)**2. 187425 Simplify (((5*sqrt(280)*-2)/(sqrt(60)/(sqrt(24)/sqrt(4))))/((-3*sqrt(36))/sqrt(9) - sqrt(16)/((sqrt(8)/sqrt(2) - sqrt(4)) + sqrt(4))))**2. 175/4 Simplify -5 + 5*((0 + (sqrt(50) - (0 + sqrt(3200) + sqrt(3200))))**2 + 1)*-4. -225025 Simplify -1*((-5*(sqrt(156)*-1 - sqrt(156)))/(sqrt(96)/(sqrt(8) + sqrt(200))) + -1)*-3 + 4. 1 + 180*sqrt(13) Simplify (-4 + (-6*(3 + sqrt(153))*3 - (sqrt(153)*-2 + 2 - (sqrt(153) + sqrt(153)*-1 + 0))))**2. 5760*sqrt(17) + 42768 Simplify -5 + 0 + sqrt(252) + 2 + -1*(sqrt(1134) - (-1*sqrt(1134) - sqrt(1134)))/sqrt(2). -21*sqrt(7) - 3 Simplify -5 + (sqrt(112)/sqrt(32) + sqrt(56) + sqrt(56) + sqrt(56) + sqrt(336)/(sqrt(36)/sqrt(6)) + sqrt(56) + sqrt(56))/(sqrt(24)/(sqrt(3) - sqrt(192)*-4)). -5 + 825*sqrt(7)/4 Simplify -3*(3 + (sqrt(1125) - (sqrt(1125) + 1)*-6 - (-1*sqrt(1125)*1 - sqrt(1125))) + -4 + sqrt(1125) + sqrt(1125)*2*-2)**2. -121575 - 2700*sqrt(5) Simplify (-3*(sqrt(891) + 4))**2 - (2*sqrt(891)*1 - sqrt(891)) - ((sqrt(891) - (sqrt(891) - (sqrt(891) + 1))*-1)**2 - (sqrt(891) + sqrt(891)*-6 + 5)). 612*sqrt(11) + 7276 Simplify ((1*(sqrt(171) + sqrt(171)*3) + (sqrt(171)*3 + sqrt(171))*2)/(1*sqrt(1458)/sqrt(2)))**2. 304/9 Simplify ((-2*(4*(-2*sqrt(152) + sqrt(152)) - (2*sqrt(152)*2 + sqrt(152))))/((1*sqrt(432))/(sqrt(6) - sqrt(66)/(-1*sqrt(11)))))**2. 2736 Simplify ((sqrt(108) + (sqrt(108) - sqrt(108)*-5) + sqrt(108))/sqrt(9)*6 - (sqrt(432) + -4 + 0 + sqrt(432)))**2. 576*sqrt(3) + 15568 Simplify 2*((sqrt(2448) - (sqrt(2448)*2 - sqrt(2448)))*2 + ((sqrt(2448) + -2)*-3)**2 + -3*((sqrt(2448)*1 - sqrt(2448)) + -3)*5). -864*sqrt(17) + 44226 Simplify (3*(sqrt(340)/((1*sqrt(70))/sqrt(7)))/(sqrt(242) + sqrt(242)*-2*-1)*1)**2. 17/121 Simplify (1*(sqrt(30)/sqrt(3) + sqrt(10) - sqrt(10)) + sqrt(10))/(-4*(sqrt(5) - sqrt(5)*-1)) - (2 + sqrt(32) + -4)**2*5. -180 + 319*sqrt(2)/4 Simplify ((3*(((sqrt(72) + -1)*-6 - sqrt(72)) + sqrt(72)))**2 + -4 + (sqrt(72) + (-4*sqrt(72) - sqrt(72)))**2*2)*6. -23328*sqrt(2) + 155712 Simplify 2 + 2*(4 + (((sqrt(98) + 0 - sqrt(98)) + 0 - (5*(sqrt(98) + 0 + sqrt(98)) + sqrt(98))) + -5)**2). 1540*sqrt(2) + 23776 Simplify -6*(-2 + ((sqrt(147) + -1)*-5 + sqrt(147) + -1 - (-5 + -1*sqrt(147) + -4)))**2. -8664 + 2772*sqrt(3) Simplify -4*(-2 + (5 + -4*(1*sqrt(80) + -4))*-3) + 2. -192*sqrt(5) + 262 Simplify 1 + 1*sqrt(13) + 4 + -4*sqrt(13)*-4 + -3*(-1*(sqrt(78)/sqrt(3) - sqrt(26)))/(-2*sqrt(242) + sqrt(242)). 5 + 17*sqrt(13) Simplify -3 + sqrt(28) + (2*sqrt(28))**2 + 0 + ((sqrt(1008) - (-3 + 0 + sqrt(1008))) + (-3*sqrt(1008)*-1 - sqrt(1008)))**2. 146*sqrt(7) + 4150 Simplify ((-5 + 0 + sqrt(242) + (sqrt(242) - (sqrt(242)*-1 + -4)))**2 - ((-6*(sqrt(242) + 0 + sqrt(242)))**2 + -1*(sqrt(242) + 0) + sqrt(242)))*3 + -2. -98009 - 198*sqrt(2) Simplify (((sqrt(77)*-3 - sqrt(77)) + sqrt(77))*-3 + 3*sqrt(77)*2)/(-1*(sqrt(11)*4 + sqrt(11)) - -6*(sqrt(1100) - sqrt(11))). 15*sqrt(7)/49 Simplify ((sqrt(832) + -2*(sqrt(832) + 1))*3 + 2)**2 - (((-1*sqrt(624))/sqrt(12))**2 + (2 + sqrt(13) + sqrt(52)/sqrt(4) - (sqrt(91)*-1 + sqrt(91))/sqrt(7))**2). 184*sqrt(13) + 7396 Simplify (((sqrt(189)*2*6)/(sqrt(900)*-1))/(3*sqrt(70)/(1*sqrt(490) + sqrt(490))))**2. 2352/25 Simplify ((sqrt(117) - sqrt(117)*-1*-4) + sqrt(117) + (sqrt(117)*-2 + sqrt(117))*5)/(-2*(sqrt(1296)*1 + sqrt(9))*-4). -7*sqrt(13)/104 Simplify (0 + (sqrt(2541)*-5 - sqrt(2541))/sqrt(7) + 2 + sqrt(6)/sqrt(8) + sqrt(21)/(sqrt(35)/sqrt(5)))**2. -258*sqrt(3) + 49939/4 Simplify ((1*sqrt(65)*-1 + sqrt(65))/(sqrt(180)*1))**2 - (5 + ((sqrt(104)/sqrt(4))/sqrt(2) - -3*sqrt(117))**2). -1305 Simplify -1*(((sqrt(1100) + 5*sqrt(1100))**2 - sqrt(11)) + 4 + sqrt(1331) + 1 + sqrt(88)/((sqrt(8) - (sqrt(8) + (sqrt(8)*2 + sqrt(8) - sqrt(8))))*-1)). -39605 - 21*sqrt(11)/2 Simplify 5 + sqrt(1053) + (sqrt(1053) - (sqrt(1053) + 0 + 0))**2 + 4 - (-2 + 6*(sqrt(1053) + 1)*-4). 35 + 225*sqrt(13) Simplify (-4 + -1 + sqrt(539)*-1 + -5 - (2 + sqrt(539) + 0 + 0 + 4))**2. 448*sqrt(11) + 2412 Simplify -2 + (-1*sqrt(117)*6 + -4*2*sqrt(117) - (((1*(1 + sqrt(117)) - sqrt(117)) + sqrt(117) - sqrt(117))**2 + 2*(-1*sqrt(117))**2)). -237 - 42*sqrt(13) Simplify (-1*(sqrt(190) + (sqrt(190) + sqrt(190)*-1 - sqrt(190))) + sqrt(190))/(sqrt(40)/sqrt(16)) + (-2*(4 + (sqrt(1900) - 1*(sqrt(1900) + -1))))**2. 2*sqrt(19) + 100 Simplify -4 + (sqrt(112)*-2 + (-2*sqrt(49))/sqrt(7) - ((sqrt(7) - sqrt(700)) + sqrt(224)/sqrt(2))). -5*sqrt(7) - 4 Simplify (-6*(1 + -4 + sqrt(700) + -4 + 4 + 0))**2. -2160*sqrt(7) + 25524 Simplify 2*(sqrt(300)*1)**2 + sqrt(300) + 2 + -1 + (sqrt(576)*-1)/(sqrt(1200)*1). 48*sqrt(3)/5 + 601 Simplify -1*(-4 + ((4 + 0 + sqrt(112))*3 + 4*sqrt(112)*-1 + sqrt(112) + (sqrt(112) - ((sqrt(112) + 1)*-4 - sqrt(112))))**2)*4. -17136 - 3072*sqrt(7) Simplify (-1*(sqrt(204) - (sqrt(204) + (sqrt(204) - (sqrt(204) + 2*sqrt(204) - sqrt(204)) - sqrt(204) - sqrt(204))) - sqrt(204))*3)/(sqrt(84)/(sqrt(7)*4)*-3). 8*sqrt(17) Simplify ((sqrt(3) + 0 + sqrt(3) + -1)**2*2 + sqrt(21)/((1*sqrt(84))/sqrt(12)) + 0)*-2. -52 + 14*sqrt(3) Simplify (4*(-2*sqrt(133) + sqrt(133)) + -2*sqrt(133)*-2)/((sqrt(280)/(sqrt(5)*2))/(sqrt(16)/(sqrt(2) - sqrt(18) - sqrt(2)) - sqrt(8))). 0 Simplify ((sqrt(513)/(sqrt(900)*-1 - sqrt(9))*4)/((sqrt(18) - (sqrt(18) + sqrt(882)*-1))/(sqrt(6) + sqrt(726)*-2 + sqrt(726))))**2. 30400/5929 Simplify ((2*sqrt(150)*-1)/(-2*sqrt(300)) + -4 + 6*(sqrt(50) - -3*sqrt(800)))**2. -3124*sqrt(2) + 609993/2 Simplify 3 + ((-1*6*(-3 + sqrt(27)))**2 - (1 + sqrt(75) + -1)**2*-4). -648*sqrt(3) + 1599 Simplify (-6*(1 + sqrt(272)*-1*4 - (-2*sqrt(272) + 2 + -4)))**2. -1728*sqrt(17) + 39492 Simplify ((-2 + 5 + -1*(sqrt(2448) + -3) + sqrt(2448) + 2)*3)**2 + -4. 572 Simplify 1*(((sqrt(19) - (-3 + sqrt(19)*3))**2 + 3)*5*-6 + 4)*2. -5272 + 720*sqrt(19) Simplify ((sqrt(2304) + (sqrt(2304)*2 - sqrt(2304)) + sqrt(16) + sqrt(16))/(sqrt(48)/(sqrt(6)*-2)))**2 - sqrt(18)/(sqrt(9) + (sqrt(9) - -4*2*sqrt(9)))*4. -2*sqrt(2)/5 + 5408 Simplify 6*2*(1 + (-1*sqrt(704) - sqrt(704))*-1)*-3*3. -1728*sqrt(11) - 108 Simplify (4*((sqrt(133) + 2*sqrt(133))*-4 + sqrt(133)))/((1*sqrt(378) + sqrt(378))/sqrt(6)). -22*sqrt(19)/3 Simplify (4 + (sqrt(480)/(sqrt(36)/(sqrt(9)/sqrt(3))))/(sqrt(32)/(-1*sqrt(4)*1))*3)**2. -24*sqrt(5) + 61 Simplify (-5*(-2 + -1*sqrt(272)) + -1 + (sqrt(272) - (2 + sqrt(272))) + -2)**2 + -3. 200*sqrt(17) + 6822 Simplify (5 + (5 + (sqrt(495)*-2*-4)/((sqrt(99) - (sqrt(99) + 1*sqrt(99))) + sqrt(99) + sqrt(99) + sqrt(99)))**2*1)*-5. -550 - 200*sqrt(5) Simplify 6*(-2*-3*sqrt(2) - (sqrt(72) + (2 + sqrt(72))**2)) - 4*(-5*(sqrt(72)*2 + sqrt(72)))**2*5. -324456 - 144*sqrt(2) Simplify (6*4*(sqrt(320) + sqrt(320) + 2 + -3))**2 + (sqrt(10)/(sqrt(4)/sqrt(2)))**2 + -4 + (-4*sqrt(500)*2)**2. -18432*sqrt(5) + 769857 Simplify (-5*sqrt(99)*2)/(sqrt(9) + sqrt(54)/(sqrt(12)/sqrt(2)) - sqrt(9)) + ((0 + sqrt(176))*4)**2*-2. -5632 - 10*sqrt(11) Simplify (((sqrt(176) + sqrt(176) + (sqrt(176) - (sqrt(176) - (sqrt(176) + sqrt(176) + 1)))*3)**2 + sqrt(176) + 1 - -2*(sqrt(176) + 1)*-6)*3 + -4)*4. 1776*sqrt(11) + 135128 Simplify ((sqrt(7)*4*6)**2 + 0 + sqrt(56)/(sqrt(48)/(sqrt(216) + sqrt(6))))*-1. -403
{ "pile_set_name": "DM Mathematics" }
he prime factors of 538. 2, 269 What are the prime factors of 42122? 2, 21061 What are the prime factors of 20209? 7, 2887 List the prime factors of 46942. 2, 7, 479 List the prime factors of 28313. 23, 1231 What are the prime factors of 1834? 2, 7, 131 List the prime factors of 2602. 2, 1301 List the prime factors of 34234. 2, 17117 List the prime factors of 998. 2, 499 List the prime factors of 2731. 2731 What are the prime factors of 667? 23, 29 What are the prime factors of 12027? 3, 19, 211 List the prime factors of 382. 2, 191 What are the prime factors of 472? 2, 59 What are the prime factors of 1119? 3, 373 What are the prime factors of 4646? 2, 23, 101 What are the prime factors of 50231? 50231 What are the prime factors of 840? 2, 3, 5, 7 What are the prime factors of 4267? 17, 251 List the prime factors of 305. 5, 61 What are the prime factors of 7531? 17, 443 What are the prime factors of 92799? 3, 7, 491 What are the prime factors of 1040? 2, 5, 13 What are the prime factors of 2887? 2887 What are the prime factors of 1187? 1187 List the prime factors of 57717. 3, 11, 53 What are the prime factors of 219? 3, 73 List the prime factors of 17897. 11, 1627 List the prime factors of 1080. 2, 3, 5 What are the prime factors of 7423? 13, 571 What are the prime factors of 45145? 5, 9029 What are the prime factors of 21525? 3, 5, 7, 41 List the prime factors of 62879. 227, 277 List the prime factors of 652. 2, 163 What are the prime factors of 62147? 29, 2143 List the prime factors of 3324. 2, 3, 277 What are the prime factors of 1632? 2, 3, 17 List the prime factors of 4266. 2, 3, 79 List the prime factors of 1848. 2, 3, 7, 11 List the prime factors of 4928. 2, 7, 11 What are the prime factors of 167090? 2, 5, 7, 11, 31 List the prime factors of 4623. 3, 23, 67 List the prime factors of 12. 2, 3 What are the prime factors of 1763? 41, 43 What are the prime factors of 3675? 3, 5, 7 What are the prime factors of 23459? 23459 List the prime factors of 9259. 47, 197 What are the prime factors of 71140? 2, 5, 3557 What are the prime factors of 11108? 2, 2777 What are the prime factors of 5613? 3, 1871 What are the prime factors of 3734? 2, 1867 What are the prime factors of 6886? 2, 11, 313 List the prime factors of 619. 619 What are the prime factors of 2065? 5, 7, 59 What are the prime factors of 2616? 2, 3, 109 What are the prime factors of 2746? 2, 1373 List the prime factors of 1950. 2, 3, 5, 13 What are the prime factors of 3186? 2, 3, 59 What are the prime factors of 114081? 3, 11, 3457 What are the prime factors of 57281? 7, 167 What are the prime factors of 680? 2, 5, 17 What are the prime factors of 2775? 3, 5, 37 What are the prime factors of 524? 2, 131 List the prime factors of 4829. 11, 439 What are the prime factors of 1229? 1229 List the prime factors of 1057. 7, 151 What are the prime factors of 7401? 3, 2467 List the prime factors of 1250. 2, 5 What are the prime factors of 1967? 7, 281 What are the prime factors of 4952? 2, 619 What are the prime factors of 5115? 3, 5, 11, 31 List the prime factors of 9680. 2, 5, 11 List the prime factors of 12699. 3, 17, 83 List the prime factors of 325. 5, 13 List the prime factors of 1503. 3, 167 What are the prime factors of 6882? 2, 3, 31, 37 What are the prime factors of 11854? 2, 5927 List the prime factors of 25828. 2, 11, 587 What are the prime factors of 66? 2, 3, 11 List the prime factors of 41663. 61, 683 What are the prime factors of 16? 2 What are the prime factors of 7823? 7823 List the prime factors of 31071. 3, 10357 List the prime factors of 94094. 2, 7, 11, 13, 47 List the prime factors of 1030. 2, 5, 103 What are the prime factors of 5947? 19, 313 What are the prime factors of 4863? 3, 1621 What are the prime factors of 25969? 25969 What are the prime factors of 27368? 2, 11, 311 What are the prime factors of 3155? 5, 631 What are the prime factors of 7949? 7949 List the prime factors of 32. 2 List the prime factors of 4777. 17, 281 List the prime factors of 18220. 2, 5, 911 List the prime factors of 29681. 67, 443 What are the prime factors of 60074? 2, 7, 613 What are the prime factors of 3615? 3, 5, 241 What are the prime factors of 4955? 5, 991 What are the prime factors of 364? 2, 7, 13 What are the prime factors of 694? 2, 347 List the prime factors of 2532. 2, 3, 211 What are the prime factors of 7360? 2, 5, 23 List the prime factors of 650. 2, 5, 13 What are the prime factors of 223? 223 What are the prime factors of 1194? 2, 3, 199 List the prime factors of 19484. 2, 4871 List the prime factors of 1236. 2, 3, 103 List the prime factors of 37566. 2, 3, 2087 What are the prime factors of 86441? 86441 List the prime factors of 1600. 2, 5 What are the prime factors of 3941? 7, 563 What are the prime factors of 18608? 2, 1163 What are the prime factors of 99? 3, 11 List the prime factors of 3483. 3, 43 What are the prime factors of 59082? 2, 3, 43, 229 List the prime factors of 47. 47 List the prime factors of 3608. 2, 11, 41 What are the prime factors of 86443? 7, 53, 233 What are the prime factors of 5963? 67, 89 What are the prime factors of 599? 599 List the prime factors of 96102. 2, 3, 19, 281 What are the prime factors of 14626? 2, 71, 103 What are the prime factors of 4485? 3, 5, 13, 23 What are the prime factors of 7507? 7507 What are the prime factors of 72? 2, 3 List the prime factors of 510. 2, 3, 5, 17 List the prime factors of 5680. 2, 5, 71 What are the prime factors of 6727? 7, 31 List the prime factors of 1972. 2, 17, 29 List the prime factors of 44627. 11, 4057 List the prime factors of 1242. 2, 3, 23 List the prime factors of 993. 3, 331 What are the prime factors of 22587? 3, 7529 What are the prime factors of 177732? 2, 3, 4937 What are the prime factors of 1304? 2, 163 What are the prime factors of 2505? 3, 5, 167 What are the prime factors of 6497? 73, 89 List the prime factors of 11542. 2, 29, 199 List the prime factors of 138. 2, 3, 23 List the prime factors of 262. 2, 131 List the prime factors of 4811. 17, 283 List the prime factors of 12883. 13, 991 List the prime factors of 6143. 6143 List the prime factors of 96968. 2, 17, 23, 31 List the prime factors of 1866. 2, 3, 311 List the prime factors of 4596. 2, 3, 383 List the prime factors of 9747. 3, 19 What are the prime factors of 859? 859 List the prime factors of 189930. 2, 3, 5, 13, 487 What are the prime factors of 11011? 7, 11, 13 List the prime factors of 44328. 2, 3, 1847 What are the prime factors of 399? 3, 7, 19 List the prime factors of 107078. 2, 37, 1447 What are the prime factors of 6257? 6257 List the prime factors of 246. 2, 3, 41 What are the prime factors of 1367? 1367 List the prime factors of 23282. 2, 7, 1663 List the prime factors of 1354. 2, 677 List the prime factors of 2893. 11, 263 List the prime factors of 1416. 2, 3, 59 What are the prime factors of 1198? 2, 599 List the prime factors of 23696. 2, 1481 What are the prime factors of 7706? 2, 3853 List the prime factors of 48. 2, 3 List the prime factors of 1652. 2, 7, 59 What are the prime factors of 19944? 2, 3, 277 List the prime factors of 1168. 2, 73 What are the prime factors of 875? 5, 7 What are the prime factors of 605? 5, 11 What are the prime factors of 1072? 2, 67 What are the prime factors of 3216? 2, 3, 67 What are the prime factors of 83315? 5, 19, 877 List the prime factors of 19226. 2, 9613 List the prime factors of 153193. 307, 499 What are the prime factors of 13402? 2, 6701 List the prime factors of 9556. 2, 2389 What are the prime factors of 1883? 7, 269 List the prime factors of 13785. 3, 5, 919 List the prime factors of 13083. 3, 7, 89 List the prime factors of 1032. 2, 3, 43 List the prime factors of 154969. 31, 4999 What are the prime factors of 44764? 2, 19, 31 What are the prime factors of 1455? 3, 5, 97 What are the prime factors of 265? 5, 53 What are the prime factors of 31204? 2, 29, 269 List the prime factors of 12228. 2, 3, 1019 What are the prime factors of 74? 2, 37 List the prime factors of 306. 2, 3, 17 What are the prime factors of 935? 5, 11, 17 List the prime factors of 60700. 2, 5, 607 List the prime factors of 4498. 2, 13, 173 List the prime factors of 25389. 3, 7, 13,
{ "pile_set_name": "DM Mathematics" }
cement from smzhssshlhsshh. 5/24024 Calculate prob of sequence qa when two letters picked without replacement from {a: 1, t: 9, q: 1}. 1/110 Four letters picked without replacement from {z: 1, e: 4, d: 3}. Give prob of sequence dzdd. 1/280 Three letters picked without replacement from dddqdddddddddqq. What is prob of sequence ddq? 66/455 What is prob of sequence llo when three letters picked without replacement from lldldllood? 1/18 Two letters picked without replacement from lww. Give prob of sequence ww. 1/3 Three letters picked without replacement from {w: 1, n: 2, x: 1}. Give prob of sequence nnx. 1/12 Two letters picked without replacement from ajjjpjjjjjap. Give prob of sequence ja. 4/33 Three letters picked without replacement from lddcclllcccccc. What is prob of sequence clc? 4/39 Three letters picked without replacement from cicrcdd. What is prob of sequence cid? 1/35 Calculate prob of sequence ukks when four letters picked without replacement from uusksususksksuu. 3/455 Calculate prob of sequence gvo when three letters picked without replacement from lmovg. 1/60 Two letters picked without replacement from trororrmrrorootmtrt. Give prob of sequence tt. 2/57 Calculate prob of sequence nsts when four letters picked without replacement from sssstnntntnsss. 3/143 Three letters picked without replacement from gvkbzvekezeg. Give prob of sequence bkg. 1/330 Three letters picked without replacement from yyyyhhyyyy. Give prob of sequence yyy. 7/15 Two letters picked without replacement from {e: 4, l: 2, y: 2}. What is prob of sequence el? 1/7 Calculate prob of sequence brno when four letters picked without replacement from {q: 3, b: 3, o: 3, r: 1, n: 2, t: 3}. 1/1820 Four letters picked without replacement from vvjzvvziwzwjvvzvvvj. What is prob of sequence vziv? 1/323 Calculate prob of sequence re when two letters picked without replacement from {g: 1, r: 1, e: 1, j: 2}. 1/20 Two letters picked without replacement from {n: 10}. What is prob of sequence nn? 1 Four letters picked without replacement from {p: 6, j: 6}. Give prob of sequence jjpp. 5/66 Calculate prob of sequence zzyz when four letters picked without replacement from yzzzzyyzzyzzzygzy. 9/119 Three letters picked without replacement from lygxlvlxxtxvvxg. What is prob of sequence gtx? 1/273 Calculate prob of sequence zo when two letters picked without replacement from {c: 2, t: 10, z: 1, l: 6, o: 1}. 1/380 Three letters picked without replacement from {t: 4, n: 2, k: 10, r: 4}. Give prob of sequence nnk. 1/342 What is prob of sequence dd when two letters picked without replacement from rdrddddddrdddddrrd? 26/51 What is prob of sequence ne when two letters picked without replacement from oboeqvne? 1/28 Two letters picked without replacement from {c: 2, v: 2, y: 1, s: 1}. Give prob of sequence sv. 1/15 Two letters picked without replacement from iivybivibvbyvvvyyiv. What is prob of sequence ib? 5/114 Calculate prob of sequence wiww when four letters picked without replacement from {i: 1, w: 14, g: 1}. 1/20 Four letters picked without replacement from {o: 5, z: 2, d: 2, j: 1, m: 6}. Give prob of sequence ommd. 5/728 What is prob of sequence mybt when four letters picked without replacement from {y: 4, m: 1, t: 1, d: 2, b: 2, q: 7}? 1/7140 Two letters picked without replacement from epeeeeeeeeeee. What is prob of sequence ee? 11/13 What is prob of sequence vwwv when four letters picked without replacement from {v: 9, w: 7}? 9/130 Two letters picked without replacement from {q: 2, k: 2, e: 4}. Give prob of sequence qk. 1/14 Two letters picked without replacement from avlllalalavl. Give prob of sequence aa. 1/11 Two letters picked without replacement from {v: 1, c: 1, h: 1, z: 1, a: 1}. What is prob of sequence hc? 1/20 Four letters picked without replacement from sdydefjs. What is prob of sequence esfd? 1/420 What is prob of sequence tt when two letters picked without replacement from tttztttt? 3/4 Four letters picked without replacement from {i: 5, w: 2, y: 6}. What is prob of sequence ywiy? 5/286 What is prob of sequence css when three letters picked without replacement from nsxfxxccscfnc? 2/429 Calculate prob of sequence aa when two letters picked without replacement from {a: 11, h: 1, c: 1}. 55/78 What is prob of sequence ww when two letters picked without replacement from {x: 2, w: 3, s: 7, e: 5}? 3/136 What is prob of sequence um when two letters picked without replacement from shgurmh? 1/42 Calculate prob of sequence co when two letters picked without replacement from {b: 5, c: 5, o: 1, k: 1}. 5/132 What is prob of sequence uc when two letters picked without replacement from cxpxcpcpttxpccuctff? 1/57 Three letters picked without replacement from {w: 6, n: 11, y: 1}. What is prob of sequence nww? 55/816 Two letters picked without replacement from bdzdoooooovvooqvoq. Give prob of sequence db. 1/153 What is prob of sequence haa when three letters picked without replacement from {h: 2, f: 8, a: 2, n: 1}? 1/429 What is prob of sequence vxp when three letters picked without replacement from {x: 5, p: 1, l: 4, m: 1, v: 3}? 5/728 Three letters picked without replacement from {b: 15, o: 5}. Give prob of sequence bob. 35/228 Calculate prob of sequence ls when two letters picked without replacement from {s: 2, x: 2, e: 1, l: 2, y: 1}. 1/14 Three letters picked without replacement from xgbxmmaiabmax. What is prob of sequence amb? 3/286 What is prob of sequence qql when three letters picked without replacement from {y: 1, l: 10, q: 6}? 5/68 Four letters picked without replacement from ttxttxt. What is prob of sequence txxt? 1/21 Calculate prob of sequence axh when three letters picked without replacement from xwwhxqawwhwyawa. 2/455 Two letters picked without replacement from fbxcx. What is prob of sequence cf? 1/20 Two letters picked without replacement from noldodoonq. What is prob of sequence dl? 1/45 Two letters picked without replacement from {m: 2, i: 4, d: 1, t: 1}. What is prob of sequence id? 1/14 Four letters picked without replacement from {s: 3, f: 3, e: 1, n: 11, q: 1}. What is prob of sequence snqn? 55/15504 What is prob of sequence zzzj when four letters picked without replacement from {z: 7, f: 4, j: 2}? 7/286 Four letters picked without replacement from ldquq. What is prob of sequence duqq? 1/60 Two letters picked without replacement from nknnnnnnnnokol. What is prob of sequence nl? 9/182 Calculate prob of sequence xsj when three letters picked without replacement from {m: 3, x: 1, n: 3, c: 1, s: 1, j: 2}. 1/495 Two letters picked without replacement from slsssssssgslsllsl. Give prob of sequence ls. 55/272 What is prob of sequence mv when two letters picked without replacement from {m: 8, v: 2}? 8/45 Two letters picked without replacement from {g: 1, l: 1, w: 1}. What is prob of sequence wl? 1/6 Two letters picked without replacement from {t: 12, y: 1}. Give prob of sequence yt. 1/13 What is prob of sequence shsh when four letters picked without replacement from yyyshyhyyysyyyysyy? 1/6120 Calculate prob of sequence rsr when three letters picked without replacement from {s: 2, r: 2}. 1/6 Calculate prob of sequence ii when two letters picked without replacement from iiiiiilidiliidiiiiil. 21/38 What is prob of sequence dd when two letters picked without replacement from ddii? 1/6 Calculate prob of sequence re when two letters picked without replacement from yeuxerr. 2/21 What is prob of sequence zzhz when four letters picked without replacement from {z: 5, h: 3}? 3/28 What is prob of sequence txmx when four letters picked without replacement from {t: 1, p: 4, m: 2, x: 3}? 1/420 Three letters picked without replacement from nnnnww. Give prob of sequence nnn. 1/5 Three letters picked without replacement from kckcckkkckghcckcgc. What is prob of sequence cck? 49/612 Three letters picked without replacement from xxfxxfxxxxx. What is prob of sequence xxx? 28/55 Two letters picked without replacement from {p: 3, j: 12, l: 3}. Give prob of sequence jl. 2/17 Calculate prob of sequence ooo when three letters picked without replacement from {i: 3, z: 5, o: 4}. 1/55 Two letters picked without replacement from niivtevvbevtvebbvv. What is prob of sequence nv? 7/306 Three letters picked with
{ "pile_set_name": "DM Mathematics" }
tor of 225 and o. 9 Let w be ((-26)/(-4))/(1/2). Suppose -5*c = -0*z + 4*z - 73, -16 = -3*z + 4*c. Let u be ((-39)/z)/((18/56)/(-9)). What is the highest common divisor of u and w? 13 Let m(x) = -x**2 + 216. Let y(v) = v + 8. Let n be y(-6). Let a be 5/10*(n + -2). Let w be m(a). What is the greatest common factor of w and 24? 24 Suppose 9*v = 8*v. Let q(r) = -8 + 5*r + 2 - r**2 + 4*r + v. Let z be q(6). What is the greatest common factor of z and 12? 12 Suppose 5*s - 1445 = -p, s = 48*p - 45*p + 273. Calculate the greatest common divisor of 90 and s. 18 Suppose j - 22 - 26 = 0. Suppose 17*d - 335 = 277. Calculate the highest common factor of d and j. 12 Let j(l) be the first derivative of -15*l - 3 + 1/2*l**2 + 1/3*l**3. Let m be j(-7). Calculate the highest common factor of 3 and m. 3 Let b(d) = -4*d - 3. Let v be b(-3). Suppose -1 = 4*y - 13. Suppose -3*l - 4*f - 35 = -139, -105 = -3*l - y*f. Calculate the highest common divisor of v and l. 9 Suppose -1620 = -60*l + 40*l. Calculate the highest common factor of l and 108. 27 Suppose -15 = -5*c - 2*g, -5*g + 2*g = -5*c - 10. Let x be (2*(-3)/18)/(24/(-72)). Calculate the greatest common factor of x and c. 1 Suppose -2*l = -3*l + 3. Let z be (2 - 7) + l - -146. Suppose 5*p + 24 - z = 0. What is the highest common factor of 12 and p? 12 Let r = 183 - -441. What is the greatest common divisor of r and 72? 24 Let v be -22*(-2)/4 + -2. Suppose -4*q + v*q - 1910 = 0. Suppose -3*s = -4*z + 757, 2*z + 3*s - s - q = 0. Calculate the greatest common divisor of z and 19. 19 Let v(i) = -3*i**3 - i**2 - 2*i + 2. Let u be v(1). Let t be u + (10/15)/(2/156). Calculate the highest common divisor of t and 120. 24 Suppose 0*c - 4*c = -2*r + 4, 0 = -c - 1. Suppose 0 = -4*w - 3*z - 2*z + 267, -3*w + 4*z + 208 = r. What is the greatest common factor of w and 17? 17 Suppose -7 = -4*o + 17. Calculate the highest common factor of 24 and o. 6 Suppose -2*h - 27 = 5*n, -5*n + 9 = -2*h + 32. Let u be 0/(2 - (-1)/h). Suppose j - 7 - 6 = u. What is the greatest common factor of j and 26? 13 Let k(c) = 3*c**3 - 19*c**2 + 14*c - 43. Let f be k(6). What is the highest common divisor of f and 125? 5 Suppose 91 = 5*y + 2*y. Suppose 4*c - 97 = -y. What is the greatest common factor of c and 7? 7 Let h be 4/10 + 608/(-20). Let l = h - -54. Suppose 3*q + j = -6 + 22, -q + 4*j = -14. Calculate the highest common factor of q and l. 6 Let v be ((-248)/(-62))/(5 + -1) - -2345. Calculate the highest common divisor of 102 and v. 102 Let o(u) = u + 23. Let s be o(-12). Let w(v) = v**2 - 2*v - 7. Let m be w(s). What is the greatest common divisor of 23 and m? 23 Let m be ((-42)/(-2) - 2) + 1. Let p = -1859 + 1874. Calculate the greatest common divisor of m and p. 5 Let a be 1848/140 - 2/10. Let c be -1 - 1 - 251*1. Let o = -162 - c. What is the highest common divisor of o and a? 13 Let o be ((-3)/6)/((-1)/6). Suppose 2*t + 3*v = -2*t + 43, 0 = 5*t + o*v - 53. Let h be (4/5)/((-1)/(-50)). What is the greatest common factor of h and t? 10 Let m = -54 - -60. Let o be (-8)/m*(0 - (5 - -1)). What is the greatest common factor of o and 56? 8 Suppose -29 + 1 = 5*n - 4*p, 0 = n - p + 6. Let y be n/(2/10*-2). Let h = 129 - 79. Calculate the greatest common factor of h and y. 10 Let a be 0/((1 - -2)/3). Suppose -2*x = -a*x + 4. Let i be ((-16)/x)/((-5)/(-10)). Calculate the highest common factor of i and 144. 16 Suppose -6*y + 66 = -1734. What is the greatest common factor of 90 and y? 30 Let t = 283 - 227. Calculate the highest common factor of 952 and t. 56 Let z be (-722)/(-15) - 10/75. Calculate the greatest common factor of 360 and z. 24 Let s(n) = n**3 - 5*n**2 + 3*n - 14. Let p be s(7). Suppose -c - p = -8*c. What is the highest common divisor of 15 and c? 15 Let t(f) = 45*f**2 - 24*f + 23. Let b be t(1). What is the highest common factor of 28 and b? 4 Let x be 10/(-45) - (-640)/45. Let j(d) = -d**2 + 5*d - 4. Let w be j(3). Suppose w*c + 2*c = 28. What is the highest common factor of c and x? 7 Let q = 88 - 85. Suppose i = -q*i + 2*m + 88, 2*i + 2*m = 38. Calculate the greatest common divisor of 14 and i. 7 Suppose -30*t - 2*z = -28*t - 244, 4*t = -2*z + 484. Let s = 19 - 7. What is the highest common factor of s and t? 12 Let n be (-482)/(-4) + (-1)/(-6)*9. Let c = n - 34. What is the highest common factor of c and 8? 8 Suppose 14 = -n + 3*l, 2*l = -l. Let q be n/(-77) + (-42)/(-11). Suppose q*r = -r + 315. What is the greatest common divisor of r and 21? 21 Let k be (7 - 3) + 0/(-1). Let t = 22 - k. Suppose 8*n - 3*n = 4*q + t, 2*q = -5*n + 36. Calculate the greatest common factor of 48 and n. 6 Let o(c) = 2*c**2 - 75*c - 53. Let d be o(41). Suppose 6*u = 2*u + 52. Calculate the highest common factor of d and u. 13 Suppose 2*w = 17*w - 13230. What is the greatest common factor of w and 18? 18 Let j be (-6)/4 + (-5117)/(-86). Calculate the greatest common factor of j and 58. 58 Let x be 1/4 - 10349/(-316). What is the greatest common factor of 528 and x? 33 Let o(f) = 8*f**3 - 3*f**2 + 1. Suppose -3*y - 18 = -3*q, -3*q - 3*y = 1 + 5. Let n be o(q). Calculate the highest common factor of 424 and n. 53 Let m be (-11)/22*(-4 + 0). Suppose -5*s = -3*p - 2*p + 25, m*p = s + 6. What is the greatest common factor of 3 and p? 1 Let m be ((-176)/(-6))/((-8)/(-12)). What is the highest common divisor of m and 66? 22 Let m(v) = 2*v**2 + 7. Let n be m(-6). Let s = -43 + n. Suppose 0 = -2*l + 4, 15 + 27 = 3*x + 3*l. Calculate the greatest common divisor of x and s. 12 Let p = 957 + -942. What is the greatest common factor of 1455 and p? 15 Suppose 0*r = -4*p - r + 28, -4*p + 4*r + 48 = 0. Let j = 11 + -3. Calculate the highest common factor of p and j. 8 Let r be (-202)/(((-5)/10)/(2/(-8))). Let y = -80 - r. Calculate the highest common factor of y and 210. 21 Suppose -3*t = -q + 27, -3*t = -2*q - q + 27. Let o = -3 - t. Let l be 248/18 + o/27. What is the greatest common divisor of l and 35? 7 Let v(g) = 2*g + 16 - 3*g + 2*g. Let c(l) = -l**2 + 18*l - 79. Let r be c(13). Let t be v(r). Calculate the highest common factor of 10 and t. 2 Let s(k) = -k**3 + 4*k**2 + 20*k - 23. Let d be s(5). Let q be 5 + -2*(-3)/(-6). What is the highest common divisor of q and d? 4 Suppose 2*y = -89 - 177. Let f be (y/21)/((-1)/3). Let c be (-6 + 10)/(1/f). Calculate the greatest common divisor of c and 19. 19 Suppose -v + 80 = 4*v. Let r be (v/6)/((-8)/(-132)). Suppose -4*p - 2*y = -r, -2*p + p + 17 = -y. What is the highest common factor of p and 65? 13 Suppose 3*b - 4*p = 43, -b = -2*b + 3*p + 6. Calculate the highest common divisor of b and 70. 7 Let s(f) = -f**2 - 2*f + 4. Let o be s(0). Suppose -5*i + 24 = o*n - 74, -4*n = -3*i + 78. Calculate the greatest common factor of 55 and i. 11 Suppose 10*k - 235 = -115. Let n be (-2 - 2)*15/(-4). Let h = n - 9. What is the greatest common factor of h and k? 6 Let r = 620 + -596. Calculate the greatest common factor of 744 and r. 24 Let l be (-22)/(-8) - 6/(-24) - 3. Suppose l = -5*w + m + 143, -131 = -5*w + 2*m - 5*m. Calculate the greatest common divisor of 140 and w. 28 Suppose -3*j = -6*j + 72. Let x = 48 - j. Let u = 211 - 115. Calculate the highest common factor of x and u. 24 Let y = -68 + 28. Let n = -34 - y. What is the greatest common divisor of n and 54? 6 Let n be -6 + 0 - (-266)/7. Calculate the greatest common factor of 8 and n. 8 Suppose 25*s - 504 = 16*s. Calculate the greatest common divisor of s and 133. 7 Suppose 0 = 181*o - 186*o + 40. Suppose 4*j - 2*j - 24 = 0. What is the highest common divisor of o and j? 4 Suppose 4*y - 31 - 9 = 0. Let r = -59 - -69. Calculate the highest common divisor of r and y. 10 Suppose -21*p + 19*p = -8. Suppose -2*r - 3*q - p + 19 = 0, -4*r + 51 = -q. What is the highest common factor of 12 and r? 12 Suppose -2*r + 228 = -6*r - 4*w, 5*w - 20 = 0. Let v = -33 - r. What is the highest common divisor of v and 196? 28 Suppose -2*o - 32 = -2*x, -3*x + 6*o = 4*o - 46. Calculate the greatest common divisor of x and 112. 14 Let m(a) = -a**3 + 3*a**2 + 8*a + 3. Let z be m(6). Let d = -85 + 51. Let v = d - z. What is the highest common factor of 184 and v? 23 Let m = 139 + -91. Let a be (-4)/22 + 63390/165. What is the greatest common divisor of m and a? 48 Suppose -2*x + 600
{ "pile_set_name": "DM Mathematics" }
-53a67 (base 11) to base 3 -10222122201 What is 3713155 (base 8) in base 9? 1826264 What is -21a2939 (base 11) in base 7? -44522151 What is -2830933 (base 11) in base 16? -4a6922 What is -7b86 (base 15) in base 14? -97b4 What is -3151301 (base 6) in base 12? -75531 414054 (base 7) to base 16 11580 Convert -361224 (base 8) to base 2. -11110001010010100 Convert 34f (base 16) to base 12. 5a7 -1111121221222 (base 3) to base 12 -326945 Convert -101410045 (base 6) to base 14. -33acd7 What is 1755055 (base 10) in base 2? 110101100011110101111 What is 11111010101110010111101 (base 2) in base 16? 7d5cbd What is -1ac906 (base 13) in base 3? -1021210100202 Convert -15bb9 (base 14) to base 9. -82625 What is 102120201102112 (base 3) in base 5? 3033432013 Convert -1c6216 (base 13) to base 12. -2b1064 -1000011100111001110000 (base 2) to base 5 -1031344121 What is 1010101111101001001 (base 2) in base 14? 92441 What is -3d787c (base 14) in base 12? -86a99a Convert -2915 (base 11) to base 16. -eb7 What is c015 (base 13) in base 8? 63416 Convert 2606882 (base 9) to base 12. 5870a8 Convert -2111011100210 (base 3) to base 15. -1b1a46 -38997 (base 15) to base 12 -8892a What is -1322321210 (base 4) in base 14? -d164c Convert 4ba8a1 (base 15) to base 5. 1412130301 Convert 11a999 (base 11) to base 12. 9209b What is -11724512 (base 8) in base 5? -1131133432 -255727 (base 13) to base 6 -31123304 Convert -10111111101111010110 (base 2) to base 6. -24455542 Convert -c3d083 (base 15) to base 14. -134439b What is -10101000101100101 (base 2) in base 8? -250545 What is -43401254 (base 6) in base 11? -802062 97ac0 (base 14) to base 2 1011001100111101000 Convert 212120002001 (base 3) to base 13. 1330a2 What is -4032551 (base 7) in base 10? -478766 -514979 (base 15) to base 2 -1110101111001001100011 22661 (base 10) to base 3 1011002022 What is 1473491 (base 10) in base 8? 5475723 15722205 (base 9) to base 13 18264a1 What is -110111010001101010101 (base 2) in base 6? -102453325 What is 10000001100100101 (base 2) in base 10? 66341 Convert -651121 (base 7) to base 16. -1ba66 Convert 559c9 (base 15) to base 10. 272214 Convert 1c790 (base 14) to base 2. 10001110010001010 Convert 156807 (base 9) to base 2. 10111101001110011 1073238 (base 9) to base 3 1002110021022 What is -1210201020110 (base 3) in base 14? -1ad5c5 Convert 12a825 (base 13) to base 9. 757634 What is -2da01 (base 16) in base 11? -118452 1a0387 (base 14) to base 15 1335cb Convert -130594 (base 13) to base 4. -1233303112 What is -a94a3 (base 11) in base 6? -3224014 Convert 103136 (base 7) to base 10. 17912 What is 20002672 (base 9) in base 12? 325500b What is -112300020 (base 4) in base 14? -25d68 Convert -775a27 (base 13) to base 12. -b37172 -101001000010100011 (base 2) to base 12 -81343 156a62 (base 11) to base 15 4c24a What is 108995 (base 11) in base 9? 283142 -3545035 (base 6) to base 15 -39cc5 -43716000 (base 8) to base 10 -9411584 What is -656752 (base 8) in base 6? -4421310 1230352 (base 7) to base 9 261557 Convert 1213554 (base 6) to base 3. 10021021221 1169ba4 (base 13) to base 9 11126340 Convert 240403041 (base 5) to base 12. 454506 Convert -105015 (base 7) to base 9. -27373 -100110000011010101101 (base 2) to base 13 -34870b What is -1303254 (base 8) in base 10? -362156 3130321102 (base 4) to base 11 568863 What is -b1aa (base 12) in base 9? -28404 What is 55515352 (base 6) in base 8? 6306164 What is 3001231311 (base 5) in base 12? 1b78857 -11215360 (base 7) to base 4 -3233002213 What is 10d315 (base 15) in base 8? 3042151 Convert 22001030 (base 4) to base 6. 513552 Convert -15504b (base 16) to base 2. -101010101000001001011 Convert -3134324 (base 6) to base 8. -452054 Convert -11101010101100001 (base 2) to base 5. -12321121 -30431 (base 8) to base 3 -122020112 1158021 (base 10) to base 4 10122232011 Convert 12223405 (base 9) to base 7. 101553125 -2826777 (base 10) to base 8 -12621031 What is 323033033 (base 5) in base 3? 2120222020221 What is 1107221 (base 8) in base 12? 1249a9 -101011100000001000 (base 2) to base 10 -178184 What is -122023001 (base 7) in base 10? -7653017 -9697d7 (base 14) to base 8 -23343321 Convert -220212001121 (base 3) to base 9. -825047 Convert -1142550 (base 6) to base 5. -3412013 What is -425960 (base 10) in base 11? -271037 Convert 101001100111100010001 (base 2) to base 14. 276db3 What is 30123331 (base 4) in base 13? 1a257 -60ca2 (base 13) to base 7 -1321623 What is 474877 (base 16) in base 7? 54464563 Convert -37212 (base 15) to base 12. -859bb Convert -303e86 (base 15) to base 2. -1000101111011101000110 -4114441 (base 6) to base 13 -6b710 Convert 4464177 (base 9) to base 6. 123311241 Convert 13030312000 (base 4) to base 14. 371c9a Convert -18739 (base 14) to base 13. -22182 3729 (base 11) to base 9 6612 What is 5251102 (base 6) in base 10? 255566 -1a0922 (base 12) to base 11 -292812 Convert 4105352 (base 8) to base 12. 44348a 141925b (base 12) to base 5 2012033314 -123254 (base 10) to base 8 -360566 What is -8822380 (base 9) in base 16? -484eff Convert 1100010011010110100 (base 2) to base 3. 202110222112 What is -3aacb (base 14) in base 3? -21100122222 Convert -233010102101 (base 4) to base 13. -272cca8 What is -6002276 (base 8) in base 7? -16244102 Convert 125235124 (base 6) to base 9. 4620187 Convert -4446152 (base 9) to base 10. -2392706 What is -21101102200202 (base 3) in base 10? -3925442 What is -111131022111 (base 4) in base 14? -a65a3b Convert 145de (base 15) to base 14. 19bd9 124352204 (base 6) to base 4 21113231230 Convert -3b3201 (base 14) to base 5. -1010412143 What is -11110100110100100000100 (base 2) in base 12? -282a630 What is 4c906 (base 15) in base 13? 876b7 Convert -c31235 (base 14) to base 13. -1491660 What is -3341012 (base 6) in base 14? -456a4 What is -1116103 (base 12) in base 10? -3266067 Convert -100100001010001001100101 (base 2) to base 16. -90a265 12f9e (base 16) to base 6 1355502 What is 4cba9 (base 16) in base 8? 1145651 3123453 (base 6) to base 3 21200100120 What is -2260022 (base 8) in base 12? -257696 -1000000000001001101001110 (base 2) to base 6 -1355411102 Convert -103412002 (base 5) to base 12. -198b11 332231 (base 8) to base 6 2221241 What is 5446362 (base 7) in base 8? 2427276 Convert 313aaa (base 12) to base 9. 1408634 Convert -505232 (base 6) to base 12. -1b218 Convert -11228180 (base 9) to base 6. -312502543 Convert 6224052 (base 7) to base 11. 46a2a7 What is 4351412 (base 8) in base 4? 10131030022 Convert -505022 (base 7) to base 8. -247406 What is -1100111010001010001 (base 2) in base 6? -13022145 What is -13000123 (base 6) in base 14? -ad08b Convert -1111000101100011001001 (base 2) to base 14. -74d401 -1101101011111010 (base 2) to base 12 -28536 What is 9496 (base 16) in base 9? 57154 What is 1817861 (base 9) in base 15? 15116a Convert 94ad6 (base 16) to base 8. 2245326 Convert -1076036 (base 13) to base 6. -300005055 -9ce88 (base 16) to base 9 -1178546 2121111102220 (base 3) to base 10 1387608 What is 1997b (base 16) in base 3? 12022210111 What is 13197802 (base 10) in base 13? 2971267 Convert -303051 (base 8) to base 15. -1e8db What is 265402 (base 7) in base 11? 34574 Convert -3315210 (base 9) to base 2. -110110011000001010111 Convert -116aba (base 12) to base 14. -74846 What is -1111000100110101101 (base 2) in base 12? -1b9a65 Convert -16398 (base 14) to base 5. -3234402 Convert -1c1327 (base 13) to base 2. -10101110111111011010 What is 511342 (base 8) in base 12? 81742 What is 363634 (base 8) in base 9? 210207 What is 24303441 (base 7) in base 2? 1000010001101000001101 What is 6525422 (base 8) in base 4? 12222230102 -1323111023 (base 4) to base 10 -505163 -22026 (base 13) to base 11 -42273 220012022100 (base 3) to base 8 1642146 -6484910 (base 10) to base 4 -120233032232 Convert -519527 (base 12) to base 3. -2102002110211 What is 22463710 (base 8) in base 2? 10010100110011111001000 What is 1001110010010010011000 (base 2) in base 3? 11211022220002 94380 (base 10) to base 8 270254 152a5 (base 12) to base 14 abdb What is -117a65 (base 11) in base 5? -21430130 Convert -43401656 (base 7) to base 15. -4d5b35 -1f543 (base 16) to base 9 -215021 Convert -6324843 (base 9) to base 8. -14716366 -53216 (base 12) to base 10 -109170 What is -11
{ "pile_set_name": "DM Mathematics" }
- k + 5*k) - k + 0*k + 2*k)*(3 - 1 - 1) + k - 4*k + k). -143*k**4 Expand -382 + 38*q - 740*q + 193 + 194 + (-2*q + 1 - 1)*(2 - 2 + 1) + 1 - q - 1. -705*q + 5 Expand (-2 - 2 + 2)*((13*x + 5 - 5)*(-x + x + 2*x) + x**2 + 11*x**2 - 28*x**2). -20*x**2 Expand (-16917 + 372*k**5 + 16917)*(-7 - 2 + 15)*(2 - 2 + 1). 2232*k**5 Expand (19 - 2 - 595*b + 596*b)*(288 + 67*b - 35*b - 31*b). b**2 + 305*b + 4896 Expand (-7 + 11*m - 7*m - 2*m)*(69*m + 32*m - 20*m)*(2 - 6 + 2). -324*m**2 + 1134*m Expand (917 - 782 - 713)*(-3 + h + 3). -578*h Expand (13*x - 7*x + 7*x)*(-223*x + 113*x + 94 + 108*x) - 3*x**2 + x**2 + x**2. -27*x**2 + 1222*x Expand -18*h**4 - 54*h + 54*h - h**4 + h**4 + 3*h**4 + (0*h**3 - h**3 - h**3)*(-h - 5*h + 5*h) - 2*h**4 + 5*h**4 - 4*h**4 + 15 - 3*h**4 - 15. -17*h**4 Expand (-2 - 6*a**2 - a**2 + a**2)*(589 - 589 - 224*a). 1344*a**3 + 448*a Expand (-49*j**2 - 20*j**2 - 71*j**2)*(5671*j + 49*j**2 - 5671*j). -6860*j**4 Expand (-36 + 12 + 3*x + 15)*(181*x**2 - 466*x**2 + 178*x**2) + 3*x**3 - 6*x**3 + x**3. -323*x**3 + 963*x**2 Expand (-1315 + 34*w + 1315)*(-w**2 + 2*w**4 + w**2) + 5*w - 1814*w**2 + 2*w**3 - w**5 + 1814*w**2 - 1. 67*w**5 + 2*w**3 + 5*w - 1 Expand 37447*t**2 - 4869*t**2 + 48524*t**2 - 305*t**2 + 13032*t**2 + 4275*t**2 + (-3*t - 2*t + 6*t)*(2*t - 4*t + 3*t). 98105*t**2 Expand (5 + 0 - 3)*(0*h + 0*h + 2*h**2) + 9*h**2 - 2*h**2 + 7*h**2 + (h - 3*h + 3*h)*(2*h - 3*h - h) - 5*h**2 + 30*h**2 + 11*h**2. 52*h**2 Expand (1 - 1 + 2*h)*(-2*h + 2*h - h)*(6*h**2 - 11*h**2 - 23*h**2) - 21*h**3 + 31*h**4 + 21*h**3. 87*h**4 Expand 2*d - 2*d - d**3 + (2*d**3 + 3*d - 3*d)*(-166 + 142 + 185) - 2*d**3 - 6*d + 6*d. 319*d**3 Expand (-4*n + 0*n + 6*n + (3 - 1 - 3)*(-4*n + 5*n + n) - 2*n + 1 - 1)*(2 - 8 - 12 + (-2 + 5 - 4)*(-2 + 3 - 2))*(88 - 52 - 44). -272*n Expand 75*b**5 + 8973 - 8973 + (-4 + b + 4)*(2*b**4 - 5 + 5) - 9*b**3 + 9*b**3 - b**5. 76*b**5 Expand ((-b + 3*b - b)*(b + 18*b + 3*b) + b**2 - 3*b**2 - 6*b**2)*(-6*b - 7*b - 7*b). -280*b**3 Expand (12*a + 6*a - 4*a)*(0*a + 11 + 4*a - 6*a) - 2*a + a**2 + 2*a. -27*a**2 + 154*a Expand (4 - 4 + 2)*(-11 - 27 - 96)*(3 - 3 - p**2) - 6 - 2*p**2 + 6. 266*p**2 Expand -2*l**3 + l**3 - 3*l**3 + (-3*l + 3*l - 2*l)*(5*l**2 - 4*l**2 + l**2) + (-37*l + 30*l - 45*l)*(-2*l**2 - 2*l**2 + 3*l**2). 44*l**3 Expand q**2 - 3 + 3 - 4*q**2 + q**2 + 2*q**2 + (0*q + 2*q - 3*q)*(-2 - 2*q + 2) + 0 + 0 + 3*q**2 + 31*q**2 - 228 + 228 + (-4*q + 5*q + 5*q)*(4*q - 1 + 1). 60*q**2 Expand (3*a - 2*a**3 - 3*a)*(-1 - a**2 + 1) - 7227961*a**3 + 7227972*a**3 + 65*a**5 + 57*a**4 - 26*a**5. 41*a**5 + 57*a**4 + 11*a**3 Expand (-18*d - 11 + 11)*(82*d + 2*d**2 - 232*d + 87*d) + (-2*d + d + 0*d)*(-6*d**2 + 4*d**2 + 3*d**2). -37*d**3 + 1134*d**2 Expand (0 - 2 + 0)*((-9 + 5 - 3)*(-4 + 2 + 1) + 7 + 0 + 1)*(0*f - 2*f + 0*f) + (-3*f + 2 - 2)*(-1 + 6 - 3) + 2*f + 2*f - 3*f + f + 0*f - 3*f. 53*f Expand (-2*d + 4 + 24*d + 13*d)*(-d**2 + d**2 - 2*d**2)*(-d**2 + 3*d**2 + 3*d**2). -350*d**5 - 40*d**4 Expand (3 - 3 + 2*g)*(-103*g + 57*g + 12840*g**2 - 1078*g**2 + 46*g). 23524*g**3 Expand (1381 - 532 - 567)*(-1 + 408*n + 8 - 401*n). 1974*n + 1974 Expand (-3822 + 3760 + 2125)*(-w + w + w). 2063*w Expand (3*y**2 + 1 - 1)*(537*y - 632*y - 2552*y)*(0*y**2 + y**2 + 2 + y**2). -15882*y**5 - 15882*y**3 Expand (4*h - h - 5*h)*(308 - 159 - 236) - 7 + 2 - 17*h + 3. 157*h - 2 Expand (-2*q**2 + 1 - 1)*(-26613*q**3 + 26669*q**3 - 1 - 2) + q**4 - q**5 - q**4 + (-2*q**4 - q**3 + q**3)*(1 - 2*q - 1) - 3*q**5 + 5*q**5 + 0*q**5. -107*q**5 + 6*q**2 Expand -44*i**2 + 39*i**2 + 141*i**2 + (-9 - 6 + 17)*(-2 + 2 + 2*i**2). 140*i**2 Expand (m - m**5 - m)*(0 - 2 + 3) + (2*m**3 + m - m)*(-1 + m**2 + 1) - 314*m**5 - 193*m**5 + 224*m**5. -282*m**5 Expand (0 - 1 - 2)*(-11*v - 14*v + 4*v + (0 - 2*v + 0)*(-2 - 9 + 3))*(0*v + v - 2*v + (v + v + 0*v)*(0 + 8 - 4)). 105*v**2 Expand (2*y**2 + 0*y + 0*y)*(-2 + 3 + 0) + 5*y + y**2 - 5*y + (1 + 1 + 0)*(-64*y**2 + 51*y**2 - 63*y**2). -149*y**2 Expand (1 - 1 - 4)*(-q**4 - 1 + 1)*(2 - 2 + q) - 57*q**5 - 22*q**5 + 77*q**5 + 4324*q**4. 2*q**5 + 4324*q**4 Expand ((6 - 1 - 3)*(3 + 4 - 5) + (3 - 1 + 4)*(2 - 2 + 1))*(f + 29 + 2*f - f). 20*f + 290 Expand (-1 + 2 + 2)*(-4 + 4 + h)*(418 + 7 - 50). 1125*h Expand (0 + 3 + 0)*(0 + 4 - 3)*(1585*j**2 - 1585*j**2 - 120*j**3). -360*j**3 Expand -70*f**5 + 71*f**5 - 97*f**4 - 69*f**4 + (2*f - 2*f - 4*f**3)*(6*f**2 - 2*f**2 - 3*f**2). -3*f**5 - 166*f**4 Expand -2*z**4 + 0*z**2 + 0*z**2 + (2*z**2 - 2 + 2)*(-z**2 - 3*z**2 + 2*z**2) + 3 + 3*z**4 - 3 + 3279*z**2 - 3279*z**2 - 19*z**4. -22*z**4 Expand (2*a + 3*a - 4*a)*(0 + 2 + 1) - a - 966 + 1649 - 990. 2*a - 307 Expand 2*n**2 - 4 + 4 + 2*n**2 + n - n - 2*n + 2*n - 2*n**2 + (-n + 5 - 5)*(-2 + 2*n + 2) - 2*n**2 + 6*n**2 - 3*n**2 - 600 + 599 - 12*n**2 - 72*n**2. -83*n**2 - 1 Expand (18 - 38 + 17)*(239 + 235 - 520)*(3*f - 6*f + 2*f + (5*f - 5*f + f)*(3 - 5 + 4) + 5*f - 3*f + 0*f + 2*f - 1 + 1). 690*f Expand (2 + 2 - 2)*(-1020*u + 1209*u + 3509*u + 473*u + 2259*u)*(-1 + 1 - 5). -64300*u Expand -3*c**5 + 5*c**5 - c**5 - c**5 + 4*c**5 + 5*c**5 + (-3 + 3 - c)*(2*c**4 - 3*c**4 - 2*c**4) + (-4*c + 4*c + 2*c)*(-5*c**4 + 6*c - 6*c). 2*c**5 Expand (-35 - 4*g**4 + 35)*(3*g - g + 2*g) + (4*g**3 + 0*g**3 - 5*g**3)*(-g + g + g**2). -17*g**5 Expand (10 - 2*b - 2*b + 5*b)*(118*b - 252 - 226*b + 110*b). 2*b**2 - 232*b - 2520 Expand (2 - 2 - 4)*(-83693 - 963*d + 83693). 3852*d Expand 4 - 4*k**2 - 4 + (k**2 - 2*k**2 - k**2 + (-2*k + 2*k + k)*(-k + k - 2*k))*(-3 - 42 - 28) + (-3*k**2 + 4*k**2 + 0*k**2)*(2 + 0 - 1). 289*k**2 Expand 234*d**2 + 106*d**2 - 129*d**2 + (2 + 0 - 1)*(d**2 + 4*d**2 - 3*d**2). 213*d**2 Expand 131*y - 7*y**2 - 131*y + 2*y**3 + (-2*y**2 - 3 + 3)*(19*y + 12*y - 13*y) - 2*y**3 - 2*y**3 - 2*y**3. -40*y**3 - 7*y**2 Expand (-k - 2*k + k)*(886*k**3 + 7210*k**2 - 3611*k**2 - 3599*k**2). -1772*k**4 Expand (114*c - 119*c + 2 + 0)*(3*c**4 + 13*c - 13*c). -15*c**5 + 6*c**4 Expand -4 + 4 - 11*q**5 + (2*q**2 - q**2 - 2*q**2)*(2 + q**3 - 2) + 127*q**4 + 12185*q**5 - 12187*q**5 + q**4. -14*q**5 + 128*q**4 Expand (-k - 2*k**2 + k)*(-1 + 1 - k) - 3*k**3 + 4*k**3 + 0*k**3 + 3*k - 3*k + 3*k**3 + 5*k - 5*k + 2*k**3 + (k**2 - 3*k**2 + 3*k**2)*(2*k - 5*k + 5*k). 10*k**3 Expand (-39*r**3 - 154*r**3 - 274*r**3)*(r - r**2 - r) + (-r**3 - 3*r - 2*r**3 + r)*(20 - r**2 - 20). 470*r**5 + 2*r**3 Expand (51 - 51 + 10*z)*(4*z**2 - z**2 - 5*z**2)*(3*z**2 - 7*z**2 + z**2). 60*z**5 Expand (5*k - 3 + 2 - 6*k)*(-467 - 1439 - 293). 2199*k + 2199 Expand (34*n**3 + 3*n**2 - 5*n**2 - 27*n**3)*(173 - 173 + 20*n**2). 140*n**5 - 40*n**4 Expand 2*u**2 + u**2 - 2*u**2 + (-244*u + 451*u - 47*u)*(-4*u - 3*u + 5*u). -319*u**2 Expand (0*l**2 + 2*l**2 + 0*l**2)*((-3*l + 4*l + l)*(-3 + 2 - 3) + 19 - 19 - 61*l). -138*l**3 Expand (2 + v - 2)*(7 - 2 - 3)*(2*v**3 - v**3 + 2*v**3)*(-409*v - 38 + 231*v + 189*v). 66*v**5 - 228*v**4 Expand (-4*a + 3*a + 0*a)*(-5 + 1 + 1) - 12*a + 12*a - 6*a + 3*a - a - a. -2*a Expand (-3 + 4 + 1)*(o - o + o) + (18*o + 1061 - 2119 + 1059)*(-1 - 1 + 4). 38*o + 2 Expand ((-4*d**2 - d**2 + 6*d**2)*(-d - 2 + 2) + 24*d**3 + 5*d**3 + 36*d**3)*(118*d - 18*d**2 - 118*d). -1152*d**5 Expand 1363 + 543*u - 1363 + 4*u - 2*u + 0*u - 1 + 2*u + 1 + (6*u - u - 3*u)*(0 - 4 + 5) - 2*u - 2*u + 3*u. 548*u Expand (3 + 1 - 2)*(3*z - 4*z - z)*(-2*z - 2*z**2 + 2*z)*(225 + 187 + 287). 5592*z**3 Expand (-4*o**5 + 3*o**5 + 2*o**5)*(-13960 + 6555 - 12836 - 22936 - 12625 - 3592). -59394*o**5 Expand (-9 + 9 + 5*u)*(-4 + 2 + 1) - 31*u + 13*u - 17*u + (-1 - u + 1)*(3 - 3 + 1) + u + u + 0*u. -39*u Expand (t - t**3 - 2*t + 4*t)*(210*t + 5415 - 5415). -210*t**4 + 630*t**2 Expand (-4 - 3 - 1 + (-2 + 5 - 2)*(-3 - 2 + 4))*(98*z + 251*z + 161*z + 201*z). -6399*z Expand -2*w + 2*w + 2*w + (3 - 1 + 0)*(5 - 5 - 2*w) + 4*w - 2*w - 3*w + 1835 + 58*w - 1835 + 0*w - w + 0*w. 54*w Expand (v**3 - 4*v**3 + 4*v**3)*(-5 - 10 + 2)*(-11*v + 7*v - 30*v). 442*v**4 Expand (23 - 3*h - 23)*(h - 7*h + 0*h) + h + 0*h - 36*h**2 + 40*h**2. 22*h**2 + h Expand (a - a + 2*a)*(-350 - 356 + 466). -480*a Expand (-3*b + b + b)*(71084 + 3925 + 10120 + 61713 - 12005 + 7040). -141877*b Expand 398*y - 628*y + 323*y + (2 + 1 - 4)*(20 - 5 - 7)*(-7*y + 3*y + 2*y). 109*y Expand (2606*p + 2267*p - 4440*p)*(2*p + 56*p**4 + 10*p - 58*p**4). -866*p**5 + 5196*p**2 Expand (6
{ "pile_set_name": "DM Mathematics" }
e? False Suppose 453 - 17585 = -4*l. Suppose 22*x - 26*x + 44 = 0. Suppose x = -2*w + 5, 5*w = 4*c - l. Is c a prime number? False Let n(h) = -136706*h + 781. Is n(-3) prime? True Let h = 2154 + 49543. Is h a prime number? False Suppose 4*k + 2*b - 246722 = 0, 185038 = 3*k + 235*b - 230*b. Is k a composite number? False Let b(p) = -114*p**3 + 4*p**2 + p - 2. Let y be b(-2). Let v be (1/(-4))/((-21)/y). Suppose 3485 = v*x - 6*x. Is x prime? False Let p be (27/(-5) - -7)*(-15)/(-6). Let z(x) = -x**3 + 9*x**2 - 21. Is z(p) a composite number? False Let k be 1 + -3 - 3288/(-5 - -3). Suppose 0 = -4*u + 4*v + 8708, -4881 = -3*u + v + k. Is u a prime number? False Let d(w) = 9*w - 50. Let h be d(6). Suppose -h*x = 2*x - 2352. Suppose 2*t - x = 4790. Is t composite? False Let h = 61168 - 20297. Is h composite? True Suppose 3*o + 4*d = 131807, 4*d = 24 - 16. Is o composite? False Suppose -q = 4*u - 18657, -5*u + 476*q = 481*q - 23340. Is u composite? False Let d be (-1)/2*-36682 + 4. Suppose 23*u - d = 18*u. Is u a prime number? False Suppose -22*c - 1 = -23*c. Let k(u) = 7359*u + 34. Is k(c) a prime number? True Let z be 17810/6 - (-2)/(-6). Let o(x) = x**3 + 23*x**2 + 20*x - 41. Let v be o(-22). Suppose r - h - z = -0*r, 2*h + 8907 = v*r. Is r prime? True Let x = 1935 + -1303. Suppose -10*w = -2598 - x. Suppose -w = -5*p + 482. Is p a prime number? False Is -7*55021/2*-2 composite? True Suppose -17*w = -18*w - 3*t + 1635835, -5*w + 8179115 = 5*t. Is w composite? False Suppose -5*t + 28 + 2 = 0. Let u(k) = 156*k + 46. Let c be u(t). Is c + 6*(-3)/6 a prime number? False Suppose -5*d - 10 = -0*d - 3*l, -d - 3*l = 20. Let x = d - -9. Suppose x*h = 12*h - 4696. Is h composite? False Let r be 4/10 - 22473/(-5). Is ((-28)/8 - -3) + r/10 prime? True Let r(w) = 779*w**3 - 5*w**2 + 23*w - 52. Is r(3) prime? False Let s(j) = -j**3 - 41*j**2 - 77*j + 53. Let o be s(-39). Let n(w) = 4*w**3 + 7*w**2 - 19*w + 15. Is n(o) prime? True Is 228/(-6726) + 5800827/177 prime? False Let z = 541891 + -247430. Is z a prime number? True Suppose 4*w + t = 85704, -4*t - 23308 - 126697 = -7*w. Is w a composite number? True Let j(d) = 50*d**2 + 16*d - 57. Suppose 0 = 2*k + 6*g - 11*g + 5, -12 = -4*g. Is j(k) prime? False Let c(k) = -k + 10. Let v be c(10). Suppose v = -10*w + 606 - 196. Suppose -w*s = -45*s + 812. Is s prime? False Let v = 758 - 1270. Let t = 2429 - v. Is t a composite number? True Let j be (-60)/(-27) + (-6)/27. Suppose x = -3*y + 6, 5*y - x - 3*x = 27. Suppose y*g + 1423 = 5*n, 3*n - j*g - 942 = -89. Is n a prime number? False Suppose -123*c + 48*c = 55*c - 57927090. Is c composite? True Let z = -229 + 233. Suppose -5*n + 5959 = -z*u, 5*n + 1347 = -2*u + 7300. Is n a composite number? True Suppose -5*t - 17*y = -12*y - 40, -2*t = 3*y - 18. Suppose 40101 = 2*l + 5*p, -7*p = -2*l - t*p + 40107. Is l a prime number? False Suppose l - 516414 = -2*g + 2*l, -5*l - 774607 = -3*g. Is g a composite number? True Suppose -2*y = 3*f + 59091, 15 = 4*f + 3. Let z = -11790 - y. Suppose r - 1332 = 5*p + 3078, 4*r + 4*p - z = 0. Is r a composite number? True Let c = 44 - 24. Suppose 74 = -2*s + c. Let j(w) = -48*w - 79. Is j(s) a composite number? False Let n(x) = 131*x**2 + 9*x - 49. Suppose -4*c + 3*f + 13 + 14 = 0, -3*c - 5*f = -13. Is n(c) a composite number? False Suppose 21 = 4*q - 3*d - 4, -5*q + 5*d = -35. Suppose q = 6*k + 4. Suppose 0 = 2*l - 5*n - 302, 2*l + 5*n = -k*n + 342. Is l composite? True Suppose 267349 = -19*d + 1795790 + 598248. Is d a composite number? True Let b(l) = -6*l + 139. Let c be b(23). Is ((-30)/5 + 4553)/c prime? True Let o(v) = 31*v**3 - 7*v**2 + 12*v + 4. Let q(p) = -15*p**3 + 4*p**2 - 6*p - 2. Let y(m) = -2*o(m) - 5*q(m). Is y(3) a composite number? False Let y be (-3)/(-2) - (-4 + (-68)/(-8)). Is 3/(-2)*2/y*8285 prime? False Suppose -44 = 3*a - 14*a. Suppose 12 = 2*j - 6*j, -a*j = -2*k + 20. Is ((-5748)/(-30))/(k/10) prime? True Let z = 10917 + 6900. Is z prime? False Let o(t) = t**3 - 25*t**2 + 20*t + 98. Let u be o(24). Suppose 0 = -u*y - 4*z + 17689 + 26721, -111025 = -5*y - z. Is y prime? False Suppose -2*x = -3*z - 120686, 6*x - 23*z - 362026 = -18*z. Is x prime? True Let a = 25417 - 15246. Let s = -7232 + a. Is s a prime number? True Let c(a) = 104*a**2 - 15*a - 20. Let p be c(6). Let h = 16425 - p. Is h a prime number? True Let q(r) = 2604*r**2 + 135*r - 34. Is q(13) prime? True Let f = -217 - -225. Is 3/(-2)*(f - (-4792)/(-12)) composite? False Let r = 34476 + 27337. Is r a prime number? True Let b(r) = -6*r + 1508. Let u(i) = 13*i + 2*i + 3*i - 13*i - 1509. Let n(m) = -2*b(m) - 3*u(m). Is n(0) a prime number? True Let m be (-3640)/(-4) + -5 + 3. Suppose -3*u = 5*x - m, -5*u + 1994 = -3*x + 492. Is u prime? False Suppose -20 = -7*r + 8. Suppose -13 - 20 = -5*t + k, -t = r*k + 6. Suppose 4*c + 1041 = d, 4*c - t*c = d - 1071. Is d a composite number? False Suppose 20 = 5*b - b. Suppose -x + 2812 = 5*l, -b*l - 2*x = 2*x - 2803. Suppose q - l = 3*f, q - 348 = -3*f + 203. Is q composite? False Let i = -5257641 - -9297992. Is i a prime number? False Let w(t) = -174*t**3 - 6*t**2 - 13*t - 18. Let r be (-1)/((-4 - 105/(-25))/1). Is w(r) a prime number? True Let l(d) = -d**2 + 15*d + 21. Let a be l(16). Suppose a*m = 3*b - b + 1641, -m = -b - 327. Is m a composite number? True Suppose -49 = -5*u + 71. Let q be ((-4164)/u)/((-1)/2). Suppose -r = -0*r - q. Is r a composite number? False Suppose 24*i + 280948 - 510448 = 725148. Is i composite? True Suppose -27*v + 17051224 = 6624229. Is v a prime number? False Let v = -20 - -26. Is (v + -10)/(-2) + 4325 a prime number? True Let c(y) = -1648*y + 118. Let i = 326 + -333. Is c(i) composite? True Let x = -21283 + 1494. Let p = -12420 - x. Is p a composite number? False Suppose b + 2545 = 8442. Let z = b + -2760. Is z composite? False Suppose -11947 = -s - 5*f, -4*f - 47692 = -213*s + 209*s. Is s prime? True Let y(d) = -82090*d - 259. Is y(-3) composite? False Suppose 0 = 2*x - 293 - 91. Suppose 396 = -4*a - p, 7*p - 5*p + x = -2*a. Is (-69040)/a - 6/(-10) composite? False Suppose 15 - 13 = -c. Let z be (-3)/(-6)*-8691*c. Suppose -2*j = j - z. Is j composite? False Let b(z) = 10986*z - 6215. Is b(7) prime? True Let a = 94250 - -176219. Is a prime? False Is (-155577340)/(-2670)*(7/2 + -1 - 1) a prime number? True Suppose 7*p = -34 + 34. Suppose 5*t + 0*t + 4*n - 86415 = p, 2*n - 86425 = -5*t. Is t a prime number? False Let q(p) be the first derivative of p**4/4 + 25*p**3/3 - 16*p**2 - 25*p + 172. Is q(-18) composite? False Let t(r) = 76*r**3 + 5*r**2 - 13*r + 14. Let q be t(5). Suppose -5*s + f = -3*s - 9564, 2*s = -4*f + q. Is s composite? False Let m = -35192 - -55970. Suppose -73*y = -79*y + m. Is y composite? False Suppose 1250*d - 1279*d = -1387273. Is d composite? False Suppose 48 = 5*q - 3*w + 2*w, 27 = 4*q + 3*w. Suppose -8248 = -q*m + m. Is m composite? False Let l be ((-8)/(-14))/2 + (-16960)/70. Suppose 213 + 2592 = 5*u. Let v = l + u. Is v a composite number? True Let m(d) = d**3 + 4*d**2 + 4*d + 16. Let z be m(-4). Let n(f) = -f**2 - f + 4153. Is n(z) prime? True Let o(c) = 10*c - 5. Suppose -3*r + 18 = 15. Let u be o(r). Suppose -u*m + 3*t + 10790 = 0, m - 1739 = -3*t + 401. Is m a prime number? False Suppose 6*j - 7*j = 8. Is (-211)/(-2 + (-7 - j)) prime? True Is 2/(2/(-18) - (-4227195)/38042325) composite? True Let n(w) = w - 6. Let l be n(2). Let o be (-58635)/(-60) + (1/l - 0). Suppose -266 = -c + o. Is c a composite number? True Let u be 0 + -1 + 5 + -5. Let s be 3/u*(-5 + 2)/3. Suppose 2*b - s*t = 283, b - 6*b - 3*t = -739. Is b a composite number? True Suppose 203*x - 30012290 = 36763545. Is x prime? False Let o be (-3)/(-1 - -4)*35/(-5). Suppose -2*a + o*a - 10086 = -m, 4*a = 3*m + 8065. Is a a composite number? False Is (-14)/91*(-13)/2*36811 composite? True Let p be (0 + 1 + 711)/((-64)/(-192)). Let w = 5627 - p. Is w a prime number? True Let t be ((-14)/5)/14 - (-13098)/(-10). Let b = 3473 - t. Is b composite? False Let r be 1*3*8/12. Suppose -4*h = 16, -h + 3*h = 4*b - 28. Suppose -2*s = r*s + c - 2777, s = b*c + 689. Is s prime? False Suppose -2*x - 32 = -2*j, -4*j - 4 = -2*x - 62. Let b(m) = -m**3 + 19*m**2 - 23*m + 36. Is b(j) composite? False Let p(s) = -101*s + 93*s
{ "pile_set_name": "DM Mathematics" }
z) = -2*z**3 - 9*z**2 - 11*z - 80. Suppose -21 = 5*p + 2*k, -98*p + 28 = -102*p + 4*k. What is f(p)? 0 Let n(o) = 2*o**2 - 3*o - 4. Suppose 7*m = 74 + 2411. Let t = 359 - m. Calculate n(t). 16 Let t be (-6)/(-60)*2 - (-2 - (-29)/(-5)). Let b(d) = -d**3 + 10*d**2 - 11*d + 4. Calculate b(t). 44 Let b be 93/(-12) - 9/36. Let g(v) = -v**2 + 4*v - 24*v + 1 + 9*v + 3*v. Give g(b). 1 Let r(y) = -2 + 3*y - 7 - 5*y - 12 + 5. Calculate r(-12). 8 Suppose -5*i - 12 = 13. Let r(z) = z**3 + 29*z + 83*z**2 - 4 - 9*z + 82*z**2 - 14*z - 159*z**2. What is r(i)? -9 Let u(f) = 54*f**2 - 9*f - 1. Let m(z) = -46*z**2 + 11*z. Let i(h) = 3*m(h) + 4*u(h). What is i(-1)? 77 Suppose 5*p - 8*d = -9*d - 26, -p - 5*d - 10 = 0. Let l(m) = 11*m + 43. Give l(p). -12 Suppose -6*x + 295 - 463 = 0. Let a be x/21*(-165)/20. Let h(b) = -b**3 + 10*b**2 + 9*b + 6. Give h(a). -16 Let n(p) be the first derivative of -1/4*p**4 + 46 + 4/3*p**3 + 3/2*p**2 + p. Suppose -5*t = 2*s + s + 16, 6 = -s - 2*t. Determine n(s). 19 Let l(j) = -j**2 - 5*j + 4. Let o(g) = -g**3 + 3*g**2 + 18*g + 1. Let y be o(6). Let u(p) = 103*p**2 + 2*p - 1. Let d be u(y). Let a = d + -111. Give l(a). -10 Let w(u) = -8*u. Suppose -2122*r + 2111*r + 55 = 0. What is w(r)? -40 Let q(p) = -6*p + 8. Let u = 5595 - 5593. Determine q(u). -4 Let h(i) be the third derivative of 3*i**5/4 - 5*i**4/24 - 2*i**3/3 - 62*i**2. Let x(l) = 2*l + 2. Let t(c) = -h(c) - 2*x(c). Calculate t(-1). -46 Let t(o) = 13*o**2 - 68*o + 299. Let l(s) = -6*s**2 + 34*s - 148. Let x(z) = -9*l(z) - 4*t(z). Give x(10). -4 Suppose -q + 15*q + 21*q = 0. Let p(a) be the third derivative of 0*a**4 + 0 - 1/120*a**6 - 7*a**2 + q*a**5 - 4/3*a**3 + 0*a. Calculate p(0). -8 Let b(s) = -s + 6 + 2*s**2 + 5*s + 3*s**2 - s**3. Suppose 60*u - 201*u = -98*u - 258. What is b(u)? -6 Let h(b) = 141*b. Let i(t) = 281*t. Let u(z) = -10*h(z) + 5*i(z). Let g(k) = -k - 1. Let p be g(-2). Determine u(p). -5 Let c(r) = -19*r - 2073177*r**2 + 70*r - 57 + 2073178*r**2. Give c(-52). -5 Suppose 13*w - 1 = 51. Suppose -2*v = -4*u, -9 = -w*u - 3*v - 29. Let p(l) = -4*l**2 - 4*l - 3. Determine p(u). -11 Let f(g) = 3*g**2 - g + 1. Let b = -462 + 464. Suppose 0 = -b*r - 4*n - 4, 0*r + 5*r + 10 = 5*n. Calculate f(r). 15 Let w(x) = 11*x**3 + 488 + 7*x**3 - 489. Suppose 0 = -4*v - p + 9, -3*v - 1 = -p + 1. Calculate w(v). 17 Let i(a) = a. Let f(x) = -x**3 + 5*x**2 - 6*x + 4. Let k(r) = -f(r) - 5*i(r). Let o be 1041/4511*(-130)/(-6). Calculate k(o). 1 Let h(x) = -x**3 - 5*x**2 + 2*x - 10. Let p = -530 - -536. Let q(w) = -2*w**3 - 10*w**2 + 5*w - 19. Let a(g) = p*q(g) - 11*h(g). What is a(-6)? -16 Let m(n) be the second derivative of -35 + 1/2*n**2 - 1/2*n**3 - n. Suppose 6*o = 2*o + 2*f + 18, o = -4*f. Give m(o). -11 Let o(b) be the third derivative of -b**6/360 - b**5/40 - b**4/6 - 17*b**3 + 96*b**2. Let f(m) be the first derivative of o(m). What is f(5)? -44 Let q(u) be the first derivative of -u**4/4 - 11*u**3/3 - u**2 + 10*u + 1049. What is q(-10)? -70 Let b(n) = 47*n - 142*n - 4 + 50*n - 3 + 48*n. Calculate b(18). 47 Let l(z) = -4*z**2 + 7*z**2 + 6*z + 16 + z**2 + 23 - 57. Calculate l(4). 70 Let q be (2*10/((-200)/30))/(1/(-3)). Let w(s) = 11*s - 110. Determine w(q). -11 Let g(m) = m**3 + m**2 - 5*m + 1. Suppose -278 + 580 = -11*h + 269. Give g(h). -2 Let l(f) = -10 + 0*f**2 + f**2 + 10*f - 1. Let o(g) = -13*g**2 + 230*g + 232. Let x be o(-1). Determine l(x). 0 Suppose -6*g + 10*g = -5*m + 1524, -3*m = 12. Let t = g - 388. Let r(f) = -2*f**3 + f**2 - 3*f - 1. What is r(t)? 25 Let a(i) = 9*i - 24. Let x(n) = -13*n + 21. Let r(l) = -3*a(l) - 2*x(l). Give r(24). 6 Let f(p) = p**2 + 20*p + 24. Let b(t) be the third derivative of -t**5/30 - t**4/4 - 19*t**3/6 - 291*t**2. Let a be b(-3). Determine f(a). 5 Let b(q) = 2*q**2 - 26*q + 17. Let a be (-19)/(-57) + 140/12. Determine b(a). -7 Let v(x) = 8*x + 3*x**2 - 9 - 15*x**2 + 9*x**2 + 27 - x**3. Determine v(-3). -6 Let z(m) = 2*m. Let k(l) = -7*l - 10. Let t(v) = 3*v. Let x(p) = -3*k(p) - 6*t(p). Let d be x(-8). Give z(d). 12 Let j(x) = x**3 + 12*x**2 + 13*x + 15. Let l be ((-20)/4 - 6)/(18 + -17). What is j(l)? -7 Let n(o) = -4*o**2 + 68*o + 6. Let k be n(17). Let m(q) = k - 7 - 20*q**2 + 2*q - 11*q**2. What is m(1)? -30 Let z(l) = 6 - 23*l - 14*l + 38*l. Let h be (-8)/12*3*-1. Suppose 4*p = 3*v + 1, -1 + h = 2*v - 3*p. Calculate z(v). -1 Let a(i) = -i**2 + 2*i - 1. Let c = 209 - 188. Suppose p = 8*p - c. Calculate a(p). -4 Suppose -73 = -37*v + 38. Let w(g) = -9*g**2 - 2*g**v - 4*g**3 + 5*g**3 + 5*g**2 - 2*g + 8*g + 4. Calculate w(-5). -1 Let g(j) = j**2 + 234 - 4*j**2 - 240 + 13*j. Let z be g(4). Let b be (-2)/((-54)/141) + z/9. Let s(f) = -f - 7. Determine s(b). -12 Suppose -3*i + 5*m = -i - 7, i - m = 2. Let o(j) = -10*j**3 - 47*j**2 + 6*j**3 - 56*j**2 + 46*j**3 + 104*j**2. What is o(i)? 43 Let q(j) = 7*j**2 - 13*j + 78. Let d(k) = 3*k**2 - 7*k + 32. Let f(a) = -5*d(a) + 2*q(a). Determine f(9). -4 Let b = -22 + -1. Let n = b - -45. Let c(w) = 2*w**3 + n*w**2 - 14*w**2 + 0 - w**3 - 10. Calculate c(-8). -10 Suppose j - 43 = -2*z - 45, 0 = -2*j - 2*z. Let r(w) be the third derivative of -1/60*w**5 + 0 + 25*w**j + 2/3*w**3 + 1/4*w**4 + 0*w. Calculate r(6). 4 Let s(c) = c + 1849 + 0*c - 1846. Let u be 4/10*5 + -5 + 0. Calculate s(u). 0 Let r be (-88)/(-48) - (-2)/12. Let j(l) = -1 - l**3 + 130*l**2 - 2 - r - 137*l**2. Determine j(-7). -5 Let d(b) = b**2 + 17*b + 40. Let l be d(-4). Let z(k) = k**2 + 16*k + 49. Give z(l). 1 Let x(v) be the first derivative of -3/2*v**2 + 3*v - 149. Give x(-6). 21 Let d(c) = c**2 + 8*c + 38. Let i be d(-5). Suppose -3*j - 4*u = i, -7*j + 2*j - 4*u - 33 = 0. Let x(y) = -y**2 - 3*y - 3. Determine x(j). -13 Let w = -69 + 70. Suppose -3*t + w - 12 = 4*j, 28 = -5*t + 3*j. Let c(f) = 2*f - 1. Let a(n) = 1. Let d(r) = 5*a(r) + c(r). Give d(t). -6 Let o(m) = 12 - 47*m**2 + 91*m**2 - 2*m**3 + m**3 - 50*m**2. Calculate o(-5). -13 Let o(n) be the second derivative of n**5/20 - 4*n**4/3 - 5*n**3/2 - 39*n**2/2 - 629*n. What is o(17)? -5 Let c(m) be the second derivative of m**5/20 + 7*m**4/12 - m**3/6 + 7*m**2/2 + 27*m. Calculate c(-7). 14 Let m(g) be the first derivative of 1 + g - 1/3*g**3 + 2*g**2. Let x be (((-90)/16)/9)/(34/(-272)). Give m(x). -4 Suppose 16*z - 332 = 14*z. Let j = z + -162. Let u(b) = b**3 - 2*b**2 - b + 1. Give u(j). 29 Let v(u) = 2567*u + 2535*u - 5099*u - 19. Give v(20). 41 Suppose 17*l + 20 = -4*t + 15*l, 3*t + 36 = 2*l. Let g(m) = -4*m - 8. Calculate g(t). 24 Let u(w) = 2*w - 14*w**3 + 4*w**3 - 3 + 2. Suppose -s = 2*f - 5, 23 - 4 = 4*f + 5*s. Give u(f). -9 Let n(q) be the third derivative of q**6/120 + 17*q**5/60 - 59*q**4/24 + 7*q**3/2 - 467*q**2. Calculate n(-20). 1 Let f be (-2)/(-6) - (-40)/(-3). Let o = f + 16. Let y(g) = -8*g**3 - 3 + 0*g**3 + 2*g - 2*g**o + 2. What is y(1)? -9 Let r(m) = -m - 9. Suppose 0 = 3*l + 19 - 1. Let d be (3/(3 + 0))/(l/18). Let y(g) = g**3 + 5*g**2 + 4*g - 6. Let n be y(d). Give r(n). -9 Let i(u) = -71*u**2 + 12*u - 9. Let l(f) = -319*f**2 + 49*f - 34. Let q(v) = 9*i(v) - 2*l(v). Determine q(7). 8 Let t(j) = -j**2 - 9*j - 6. Suppose 0*o = -5*d - o + 22, o - 14 = -3*d. Suppose 3*f - d*f + 5 = 0. Suppose -56 = f*r + 4*z, 1 = r + z + 13. What is t(r)? 2 Let t(r) be the third derivative of r**6/120 - r**5/10 + r**4/24 - r**3/2 + 801*r**2. Determine t(5). -23 Let h(g) = -g**2 + 20*g - 18. Suppose 55*t = 3208 - 2053. Calculate h(t). -39 Let v(r) = -r. Suppose 37*u = 20*u + 102. Let y(l) = l + 8. Let x be y(-6). Let f be (-9)/u*(-2)/(-6)*x. Calculate v(f). 1 Let j(r) = r**2 - 14*r + 25. Let c be (196/(-280))/((-1)/20). Calculate j(c). 25 Let z(m) = -m**2 + 6*m + 84. Let x = -18787 + 18800. Give z(x). -7 Let l(q) = q**3 - 16*q**2 + 14*q - 9. Let t(r) = 8*r**2 - 17*r - 6. Let m be t(3). What is l(m)? -24 Suppose 3 = 3*f, -4*t + 13 = -f - 2*f. Suppose t*j - 2*b = -26, b - 2*b + 9 = -j. Let s(y) = -150 - 2*y + 257 + y**2 - 112. Determine s(j). 19 Let k(z) be the second derivative of z**4/8 - 3*z**3/2 - 33*z**2 - 25*z + 1. Let v(m) be the first derivative of k(m). Determine v(4). 3 Let l(k) = k**2 - 39*k - 1. Let y = 8727 + -8688. Give l(y). -1 Let b be (-10 - 0/12)*1/(-2). Let r(p) be the third derivative of -14*p**2 + 0 - 1/60*p**5 + 0*p + 7/24*p**4 - 5/6*p**3. Calculat
{ "pile_set_name": "DM Mathematics" }
t t = -10.7 - -0.7. Let f = -61 - -59. Sort f, -1/6, t. t, f, -1/6 Let o = -1 - -0.2. Let d = o - 4.2. Suppose -3*t = 5*m + 3 + 17, -2*m + 2*t - 8 = 0. Sort -7, d, m in decreasing order. m, d, -7 Let g(t) = 2*t - 16. Let y be g(13). Let m = 10 - y. Suppose 2*q = 3*k + 5, -4*q = -7*q - k - 9. Sort -5, m, q in ascending order. -5, q, m Suppose 0 = 11*n - 8*n - 15. Suppose -t + 9 = n. Sort 2, t, -1, -2 in increasing order. -2, -1, 2, t Let t = 595 - 596. Put 0, t, 24 in increasing order. t, 0, 24 Let s be (-3 + 4 + -1)*-1. Let z be (-1)/(-6)*(-5 + 7 - 3). Sort -2/3, -0.1, z, s in decreasing order. s, -0.1, z, -2/3 Suppose -28 = 240*x - 233*x. Sort 225, x, 0 in descending order. 225, 0, x Let w(z) = -5*z - 114. Let x be w(-22). Sort 45, x, 4. x, 4, 45 Let r(k) = k + 2. Let h = -43 + 39. Let c be r(h). Sort -3, 1/6, c. -3, c, 1/6 Let f(c) = 6*c**3 + 3*c**2 - 6*c - 8. Let v be f(-1). Sort v, 4, -1, -70 in decreasing order. 4, -1, v, -70 Let u = -79 - -63.7. Let a = 4 + 11. Let n = a + u. Sort -1/3, n, 0.4 in increasing order. -1/3, n, 0.4 Let c be (-9 + 16 - 15) + 61. Put -5, -2, c, 0 in decreasing order. c, 0, -2, -5 Let g be 112/24*3/(-2). Let h = 26 + -23. Sort g, h, -2, -3. g, -3, -2, h Let t = 1 + -4. Suppose -2*m - 2 = -14. Suppose 5*d + f = -1, 3*d + 7*f - m*f + 1 = 0. Sort t, d, -0.1 in descending order. d, -0.1, t Let r(y) = -12*y**2 - 24*y - 22. Let p be r(-1). Put -0.1, 0, p in descending order. 0, -0.1, p Let y = 1509/11 - 137. Let i = 0.09 + -1.09. Let q = -0.5 - i. Sort y, q, 4. y, q, 4 Let h = 39 + -44. Suppose 0 = 2*p - 6, 3*t - 16 = -2*p + 8. Let x be -4 + 0 + t + -2. Put 1, x, h in descending order. 1, x, h Let i = 88 + -124.7. Let n = i - -37. Sort 2, 0, n in decreasing order. 2, n, 0 Let u = 9 - 6. Suppose -l - u*l = 12. Let i(a) = -a**3 + 11*a**2 - 31*a + 9. Let j be i(6). Sort 4, j, l. l, j, 4 Suppose 5*h = 4*v - 5*v - 21, 3*v = -3*h - 3. Put -4, 1, v in decreasing order. v, 1, -4 Suppose 0 = 3*z + 2*s - 35, -s = -2*z + 17 + 4. Suppose 2*l - z = -7. Sort 7, 0, -1, l in increasing order. -1, 0, l, 7 Let v(f) = f - 1. Let m be v(-4). Suppose 6 = 2*y - 5*b + 29, 0 = 5*y - 2*b + 26. Let j be 1*(-4)/8*-10. Sort y, j, m in increasing order. m, y, j Suppose 4*o = -2*k + 2, 3*o - 5 = -3*k + 4. Let c(u) = 2*u + 20. Let a be c(-8). Suppose -5*w - 8*s + 5 = -11*s, -w = 3*s - 1. Sort w, k, a. w, a, k Let f = -72/5 - -69/5. Let b = 1 + -1.2. Put 3, b, f in descending order. 3, b, f Let m = -157 - -152. Let k be m/(-3) - 12/18. Put 3/4, k, 2/7, 3/8 in decreasing order. k, 3/4, 3/8, 2/7 Let c(a) = -a**3 - 11*a**2 - 19*a + 10. Let g be c(-9). Sort 5, 2, g in increasing order. 2, 5, g Let b be (11 + -4)/((-2)/4). Let t = -11 - b. Put t, 2, 10 in increasing order. 2, t, 10 Let i = -21 - -41/2. Suppose -4*d - 8 = 4*x, 5*d + x = -16 + 2. Let a = 4394 - 4396. Sort d, a, i in decreasing order. i, a, d Let f = -9/304 + -563/1520. Put 4, f, -1.6, -2/11 in descending order. 4, -2/11, f, -1.6 Let a = -1527 - -1531. Put a, -2, -6 in increasing order. -6, -2, a Let v = -59 + 29. Let p = 29.5 + v. Let i = 0.05 + 2.95. Sort p, i, -0.4 in increasing order. p, -0.4, i Let a be (-5)/(-1) - 0 - -6. Suppose 21 = -8*f - a. Put 5, 2/7, f in descending order. 5, 2/7, f Let i be (66 - 30) + -9 + 0. Sort i, 0.4, -0.3. -0.3, 0.4, i Suppose 0 = -5*n + 4*t - 3*t + 31, 25 = 3*n + t. Suppose 6*j - 28 = -4. Sort j, 3, n, -2 in descending order. n, j, 3, -2 Suppose 16*b - 2*d = 13*b + 8, d = 5*b - 18. Put -2/7, b, -4 in decreasing order. b, -2/7, -4 Let g(n) = 57*n - 14. Let f be g(2). Let y = f + -103. Put y, -1/4, -3/2, -4 in ascending order. -4, y, -3/2, -1/4 Let u be 0 - (7/112*116 - 7). Sort -1/3, u, 0.4 in decreasing order. 0.4, u, -1/3 Let l be (42/28)/(4/(96/9)). Sort 5, l, 3, -87 in descending order. 5, l, 3, -87 Let m(x) = -9*x - 68. Let g be m(-7). Sort g, 0, 1.2 in descending order. 1.2, 0, g Let g(z) = 3*z**3 - 2*z**2 - z + 1. Let j be g(2). Suppose 0 = 6*n - j - 9. Sort 5, -2, n, 2 in descending order. 5, n, 2, -2 Suppose 0*h + 5*h = -y - 20, 2*y + 4*h + 10 = 0. Suppose 0 = -5*x - 2*w + 35, 0 = w + w + 10. Put -1, x, y in descending order. x, y, -1 Let o = 1689.6 - 1690. Put 1, -6, o, 3 in descending order. 3, 1, o, -6 Suppose -4*j = -6*j + 6. Let c = -12 - -21. Let h be (-8)/36 + (-25)/c. Sort j, 2, h in ascending order. h, 2, j Let h = 9.1 - 10. Let t = -1.1 - h. Let k = 0 - -0.2. Put k, t, -2/5 in decreasing order. k, t, -2/5 Suppose -7*k + 4 = 11. Sort -19, k, 4 in ascending order. -19, k, 4 Let n = -0.06 + -0.04. Suppose -5*g + 6*g - 5 = 0. Put -3, n, g, -2/27 in ascending order. -3, n, -2/27, g Let g be (1/(-4) + 11/44)/2. Suppose 4*f - 6 - 26 = 2*p, 2*f + p - 12 = g. Sort f, -3, 1 in decreasing order. f, 1, -3 Let q = 849 + -854. Sort 4, q, -27 in increasing order. -27, q, 4 Let m = 6520/2301 + -1/4602. Let v = -1.2 + 0.2. Put 5, v, m in increasing order. v, m, 5 Let y = -7221/7 - -1032. Sort -1, y, 1/12 in increasing order. -1, 1/12, y Suppose -4*q = -5*q, -5*q - 15 = -5*j. Sort 4, -10, j, -14 in decreasing order. 4, j, -10, -14 Let u be (-6)/(-4)*320/(-96). Put -6, 5, u in ascending order. -6, u, 5 Let d be -2 - 221*4/40. Let i = d + 47/2. Let l = -4 - -2. Put i, l, 2 in descending order. 2, i, l Suppose -7 = 3*o - 1. Suppose 5*x = -y - 24, 4*x = 3*y - 6*y - 28. Sort o, 61, y, -3 in ascending order. y, -3, o, 61 Let b be (-8 + 4)*(-1)/(-4)*0. Let m be b/(1 + -2) + 156/(-26). Put m, 4, -3 in descending order. 4, -3, m Suppose 1 = 2*m + 3. Let f be 32/12*(-6)/m. Suppose f = 2*v - 4*a, -4*v + 8*a = 3*a - 20. Sort v, 4, -1 in ascending order. -1, v, 4 Let h = -25 + 29. Suppose 0 = -n - h*m - 24, -2*n + 2*m + 0*m = -2. Put -2, 5, n, 0 in ascending order. n, -2, 0, 5 Suppose -105 = 186*y - 181*y. Sort y, -3, 2 in decreasing order. 2, -3, y Suppose 0 = 6*c + 5 - 17. Put 0, -8, c in ascending order. -8, 0, c Let x = 64.3 - 11.3. Let u = x + -50. Sort 0, u, -2 in decreasing order. u, 0, -2 Let j = -7.79 + 6.79. Let i = 201 + -1399/7. Sort j, i, 4 in decreasing order. 4, i, j Let h be (-20)/300 - 86/(-390). Put h, 2/11, 2 in decreasing order. 2, 2/11, h Let i be (-4)/14 + (-4)/(-63). Let g = 1274 - 10193/8. Sort g, -1, 4, i in increasing order. -1, i, g, 4 Let c = -1 - -1.3. Let t = 483 + -500. Sort t, -0.1, c in descending order. c, -0.1, t Let x be (8 - (-147)/(-14))*2/(-5). Sort -5, 2, x in increasing order. -5, x, 2 Let q be (-1)/(3/12) + -3. Suppose 0 = 3*k + 3*s - 8*s, 5*k = 5*s + 10. Let t = k - 9. Put t, 1, q in descending order. 1, t, q Suppose 9 + 0 = -l. Suppose 0 = -61*y + 59*y + 10. Put l, y, 0 in decreasing order. y, 0, l Suppose -5*c + 3*l + 73 = 0, 3*c - 2*l = -5*l + 39. Suppose 12*g - c*g = 8. Suppose -5*k + 9 = -6. Sort g, -1, k in descending order. k, -1, g Let a be (-68)/(-144) - (-4)/(-18). Suppose -3*d + 12 = -d + 2*c, 3*d - 18 = 2*c. Let f be 2 - d - 57/(-15). Sort -2/11, a, f in descending order. a, -2/11, f Let t(v) = -5*v - 219. Let d be t(-43). Sort 0, -55, d. -55, d, 0 Suppose 0 = -3*i + 11*i + 48. Let f = 8 + i. Let g(b) = -b**3 - 5*b**2 - b - 7. Let c be g(-5). Sort c, f, -5 in decreasing order. f, c, -5 Let l(j) = j**3 - j + 20. Let c be l(0). Let s be 38/c - 2/5. Sort 2/3, s, 1, 5 in ascending order. 2/3, 1, s, 5 Let h be (-47 - -46)/(2/20*-2). Put 4, h, -4, 2 in descending order. h, 4, 2, -4 Let l(k) = 3*k + 50. Let d be l(-15). Let y(z) = -z**2 + 21*z - 34. Let h be y(19). Put -3, h, d, -4 in descending order. d, h, -3, -4 Let h be (12/(-9))/(108/(-405)). Sort h, -2/3, 0.2, -0.1 in descending order. h, 0.2, -0.1, -2/3 Let v be 15*((-5)/15 + (-8)/(-6)). Let h be 8/(-6) - (-5)/v*-5. Sort h, 4, 9 in increasing order. h, 4, 9 Let n = 681/2 - 340. Put n, 0, 3, 4 in decreasing order. 4, 3, n, 0 Let o = 79.982 + -80. Let g = -0.282 + o. Sort 0.4, -5, g, 5 in ascending order. -5, g, 0.4, 5 Suppose 204 = 12*u - 7*u - 3*q, -4*q - 34 = -u. Put -5, u, 1 in ascending order. -5, 1, u Let f be 19/(-38) - 1*(-1246)/(-4). Sort -2, 0, -1, f in ascending order. f, -2, -1, 0 Suppose -4*c + 13*c + 9 = 0. Put -11, 1, c in increasing order. -11, c, 1 Suppose -4*p + 4 = -76. Suppose 0 = -8*c + 3*c - p. Sort 1, -3, -11, c in ascending order. -11, c, -3, 1 Let r = 1.04 + -0.94. Sort -1/9, 0, r, 2/11 in descending order. 2/11, r, 0, -1/9 Let a be -2
{ "pile_set_name": "DM Mathematics" }
198? -1/10 Evaluate ((84/16)/7)/((-270)/(-9000)). 25 Calculate 45/(-30)*80/12. -10 Calculate (-12)/186*(140/28)/(-5). 2/31 Calculate 42/75*(-430)/(-301). 4/5 30/(-7)*47/(1410/(-105)) 15 Evaluate 15/36*(-957)/(-145). 11/4 What is the value of 5*(3/18*8)/((-5)/3)? -4 Evaluate -2*3/(-24)*((-480)/9)/20. -2/3 What is the value of (4/((-48)/(-15)))/((-11)/176*2)? -10 What is 2/2*(28/70)/((-8)/20)? -1 Evaluate 1/(-2)*((-1568)/(-168))/(-14). 1/3 (-4)/(-21)*-3*2*21/(-12) 2 Calculate ((-42)/3)/98*-2. 2/7 What is the value of (2*(-170)/(-1836))/((-10)/(-48))? 8/9 ((-125)/125)/(-1*(-60)/(-4)) 1/15 (-1)/((3/(-40))/(1116/(-465))) -32 Evaluate (-18)/2*(2465/(-51))/29. 15 Evaluate (64/6)/4*(-2658)/443. -16 Evaluate (((-50)/60)/(-5))/((-77)/44). -2/21 (-4)/((5/12*1)/(20/8)) -24 Calculate ((-284)/994)/(6/28)*6/164. -2/41 (-1440)/(-3330)*-1*2/(-16) 2/37 Calculate ((-9)/(-27))/((-22)/66). -1 What is the value of ((-10)/42*6/(-70))/((-2)/(-21))? 3/14 Calculate ((-102)/272)/(6/3*9/(-12)). 1/4 Evaluate ((-1032)/430)/(21/(-10)). 8/7 What is (200/(-625))/((-16)/(-80))? -8/5 8/10*2*(1955/102)/(-23) -4/3 Calculate 6/(-16)*(-4)/(-36)*12. -1/2 Evaluate (11/11)/(166/(-83)*25/2). -1/25 What is the value of ((-52)/(-36))/(4*23/(-828))? -13 Calculate (416/64)/(2/((-12)/3)). -13 (((-23)/(-1449))/((-2)/(-24)))/((-12)/54) -6/7 (12/1260)/(84/(-882)) -1/10 Evaluate (8/28)/((-84)/(-441)). 3/2 What is the value of (-31)/(-31)*12/(-102)? -2/17 -7*22/770*-15 3 Evaluate ((-1)/(10/12))/((-6)/15). 3 Calculate (12/(-21))/(28170/2191). -2/45 What is (3/(15/2))/(28/(-420))? -6 Evaluate ((-42)/18)/((-35)/525). 35 What is 10*11/(1045/228)? 24 What is ((-5)/(-5))/((-20)/180)? -9 ((-34)/((-1156)/238))/(-4) -7/4 Calculate (-1)/(2/2)*70/(-1330)*95. 5 Calculate (36/(-6))/(5/(-10)*1). 12 (-8)/(-4)*12/(-378)*(-108)/48 1/7 What is (27810/6489)/(((-6)/7)/(-2))? 10 5*2*(-65)/(-1625)*5/26 1/13 Evaluate ((-544)/(-187))/((-22)/121). -16 Calculate ((-182)/117)/(-14)*-3*-2. 2/3 Calculate ((-2)/(-30))/(3/(-45)*(-50)/(-20)). -2/5 What is 11/11*24/24? 1 3*9*(-64)/144 -12 What is (10/(-24))/((-2)/((-198)/(-55)))*4? 3 Calculate (6/32)/((-138)/920). -5/4 Evaluate 2/(-3)*(-3)/(-30)*(-105)/(-119). -1/17 ((-20)/12)/(500/6900) -23 Evaluate (-7)/((-308)/(-8))*979/1335. -2/15 (782/85)/(-8*3/(-15)) 23/4 What is ((-18)/(-3))/(8/16*72/(-12))? -2 Evaluate 1*40/210*-7. -4/3 14/(2*(-5)/1) -7/5 Evaluate ((-24)/(-5))/(63/(-105)). -8 Calculate ((-5)/85)/(27/(-18)). 2/51 Calculate ((-494)/6175)/((-12)/10*(-4)/3). -1/20 What is ((-16)/(-10))/((-9)/(360/16))? -4 Evaluate (-14)/(-2)*((-9)/42)/((-3)/4). 2 What is ((-4)/(12*-1))/(((-67)/48)/(-67))? 16 Evaluate 15/(-5)*(-88)/(-96)*8. -22 What is (-10)/7*(-3)/2*-14? -30 What is the value of ((-8)/(-168))/((-95)/2565)? -9/7 What is the value of ((-6)/(-30))/((-14)/(-70))*7/(-1)? -7 Evaluate ((-5)/12)/(((-2100)/210)/(16/14)). 1/21 (-7)/7*(-3)/(-9)*33 -11 Evaluate (-117)/(-234)*8/52. 1/13 What is the value of (-15*28/(-1470))/(15/(-21))? -2/5 What is the value of (-2*5*2/(-24))/(17455/3491)? 1/6 What is (8/10)/(746/(-1865)*(-1)/2)? 4 Evaluate (-29)/(-580)*60*-9. -27 What is the value of -12*((-3420)/40)/(-57)? -18 What is the value of ((128/72)/(-4))/((-28)/(-210))? -10/3 What is the value of (118/2950)/((-5)/(25/(-4)))? 1/20 Evaluate (40/18)/((-944)/12744). -30 Evaluate 3/(-20)*(-9080)/3178. 3/7 What is ((-143)/11)/520*4? -1/10 What is the value of ((6/(-40))/((-2)/48))/(1592/3980)? 9 What is the value of 102/(-4)*2034/(-5763)? 9 What is (21/(-36)*-1)/((-28)/(-6))? 1/8 Calculate 1*((-2)/10)/(378/135). -1/14 Evaluate (-22)/(-33)*280/112. 5/3 Evaluate ((-6)/(-11))/((-23240)/(-12782)). 3/10 What is the value of 1230/19475*5/(-15)? -2/95 What is the value of (4/2*(-17)/34)/(104/24)? -3/13 (2/(-9)*-30)/(2/(-9)) -30 What is the value of (((-20)/(-150))/(14/(-21)))/(57/15)? -1/19 Calculate 1/6*-1*9138/28937. -1/19 (-12*7/63)/(-2*(-1)/21) -14 Evaluate (-42)/(-231)*(-770)/(-2870). 2/41 ((-27)/(-63))/(234/(-273)) -1/2 What is the value of (-1)/((12/104)/(12/(-8)))? 13 Calculate -35*13/(-65)*(-42)/3969. -2/27 What is (-67)/((-134)/(-48))*(12/(-16))/1? 18 What is -42*(-7)/(-1596)*(-3)/(21/4)? 2/19 396/11*5/(-60)*4 -12 Evaluate 18*((161/(-35))/23)/(9/(-20)). 8 What is 23/(368/16)*-13? -13 (360/420)/(2*(-60)/112) -4/5 Calculate 3/(((-810)/(-240))/((-6)/4)). -4/3 Calculate 72/(-15)*(-10)/68*2/6. 4/17 ((2970/(-9))/15)/(1*(-6)/6) 22 Calculate 5/1*4/4*1512/(-420). -18 What is the value of ((-3)/(-9)*-4)/((-1173)/391)? 4/9 ((-45)/99)/((66/132)/((-2)/20)) 1/11 What is the value of (13/39)/(5/(-66))*-5? 22 Evaluate (-6)/(-168)*20*((-16)/(-10))/(-4). -2/7 Evaluate (((-253)/11)/(-92))/(14/16). 2/7 What is the value of 2580/(-258)*14/(-20)? 7 What is the value of (((-96)/(-168))/((-2)/14))/(1/2)? -8 8/(-40)*25/3*(-18)/75 2/5 Evaluate ((3480/48)/(-29))/((-705)/12). 2/47 ((-294)/(-105))/((-5)/(-50)) 28 What is the value of (10/(-95))/(242/(-66671))? 29 Evaluate (23/69)/(((-16)/6)/(-2)). 1/4 ((-1782)/66)/(-81)*-4*(-2)/(-6) -4/9 Calculate (4/64*3)/((-51)/34). -1/8 Calculate ((-10)/(-11))/(-13*(-3)/429). 10 What is (37037/(-407))/((-7)/6)*2/12? 13 (7*(-6)/(-84))/(-2*4/32) -2 Evaluate 2/(-6)*(-30)/85. 2/17 Evaluate (2/(-46))/(58/(-1334)). 1 Evaluate (256/(-448))/((-4)/(-28))*(-4)/2. 8 What is (-5)/330*(-270)/(-15)? -3/11 1/(33/(-18))*(-199)/(-597) -2/11 What is the value of ((392/(-385))/14)/(4/10*1)? -2/11 Evaluate 2322/301*(-35)/15. -18 Calculate (-10)/(-8)*2*(-16)/40*6. -6 What is (34/(-102))/((-2)/7)*-2? -7/3 Evaluate (-14)/(112/180)*(-10)/(-15). -15 6/(-12)*7*17/(136/(-32)) 14 What is (12/9)/(46/345)? 10 What is the value of ((-344)/(-3010))/(((-64)/60)/(-4))? 3/7 Calculate ((-2603)/(-2192))/((-2)/32). -19 ((-7)/84)/(21/546) -13/6 What is 3/(-6)*50/(15/3)? -5 (-10)/116*(308/35)/11 -2/29 What is the value of ((-75)/(-5375)*43)/(2/40)? 12 (1*5/(-60))/((-71)/(-142)) -1/6 Evaluate (12/(-72))/(21/(-14))*171. 19 Evaluate (54/63)/(27/((-1701)/180)). -3/10 What is ((-6)/(-24))/(465/75)*14/35? 1/62 What is (-31*(-8)/124)/(1/(-8))? -16 What is (-15)/(-24)*133/(-665)? -1/8 Evaluate 999/111*(-2)/6. -3 Evaluate (-6)/(-5)*(-125)/2325. -2/31 Calculate ((-1607)/12856)/((-3)/4). 1/6 What is the value of (2/(-17))/(4992/(-5304))? 1/8 What is (-44)/(-110)*2/(-16)? -1/20 Calculate 1092/819*(-5)/(60/(-63)). 7 What is (98/2205)/((-6)/9*-1)? 1/15 Evaluate ((-8)/(-12))/((-145)/7395). -34 Calculate -26*(2475/(-44))/(-25)*4/36. -13/2 Evaluate 40/(-62920)*13*-33. 3/11 What is ((18468/(-567))/(-76))/(2/(-8))? -12/7 Calculate (((-560)/(-42))/20)/((20/54)/(-5)). -9 What is (-2560)/(-4480)*(-14)/30? -4/15 What is the value of (270/(-150)*2/(-60))/((-3)/(-6))? 3/25 What is the value of 6/45*-6*(-18)/96? 3/20 Calculate -13*(-17)/663*-4. -4/3 (-12)/(-9)*(24/272)/(-1) -2/17 What is the value of ((-51)/(-17))/(12/(-32)*1)? -8 Evaluate ((-16)/(-5))/(((-282)/4230)/((-1)/6)). 8 Evaluate (41/((-1476)/192))/(-4). 4/3 Calculate ((-75)/(-2))/(-5)*808/505. -12 Evaluate -4*(-12)/(-126)*57/(-152). 1/7 Evaluate 40/(-10)*(3250/(-40))/(-13)*-1. 25 Calculate ((-142)/(-2059))/(2/2). 2/29 2/(-4)*-8*147/(-84) -7 Calculate (21420/80)/(-51)*4. -21 What is (-6)/(-9)*-15*5*(-63)/(-105)? -30 What is 17/(68/16)*8/((-96)/30)? -10 What is the value of (-43)/(-86)*(-2)/11? -1/11 What is the value of ((-1)/2)/(((-4)/7)/((-88)/308))? -1/4 (13/((-910)/56))/((-2)/(-5)) -2 (360/16)/(-45)*4/1 -2 What is the value of 800/(-4080)*(-9)/30? 1/17 Calculate -27*5/(-45)*(50/3)/2. 25 Calculate -18*(-2)/135*(-5)/22. -2/33 Calculate 1*(-25)/40*-8*7. 35 Calculate (7/20)/(((-4)/96)/(15/45)). -14/5 What is the value of (1379/(-1182))/(8/32)? -14/3 What is the value of ((-9)/(-22))/(6/66*6)? 3/4 Evaluate ((-15)/(-35)*6)/((516/(-56))/43). -12 (-1)/((15/20)/(168/32)) -7 Calculate ((-60)/80)/(42/12)*96/(-9). 16/7 What is the value of ((-54)/10)/((-24)/40)*(-6)/(-9)? 6 What is the value of -8*(-2)/8*-1*1/(-17)? 2/17 (2/12)/(4720/480) 1/59 Evaluate (((-38)/(-1520))/(1/(-4)))/(2/25). -5/4 Calculate 1045/(-2470)*2/(11*2/(-4)). 2/13 Evaluate 1/(-3)*(-126)/1218*(-2)/1. -2/29 Evaluate (9/10)/(-3)*9*216/(-1458). 2/5 Evaluate 9/(-15)*(-45)/1. 27 142/(-3834)*1*-9*9/12 1/4 What is the value of ((-4)/24*(-8)/((-16)/3))/1? -1/4 What is the value of (1*(-6)/2)/(-8)? 3/8 Calculate ((-2400)/(-18))/20*-3*(-
{ "pile_set_name": "DM Mathematics" }
sqrt(200))*5*3). -14*sqrt(17)/25 Simplify (sqrt(76) + (sqrt(76)*-3 - sqrt(76))*-3 + sqrt(76) - 6*sqrt(76)*-3 - (3*sqrt(76) + -3 + (4*sqrt(76) + 2 - sqrt(76))))**2. 104*sqrt(19) + 51377 Simplify -2*(((sqrt(2662)*1)/(-4*sqrt(8)))**2 + (sqrt(891) + 4*(-1 + sqrt(891) + sqrt(891)))**2 + (sqrt(891) - (-2*sqrt(891) - sqrt(891)))*1). -4621299/32 + 1224*sqrt(11) Simplify (-3*-1*4*(sqrt(112) + sqrt(112) + 1 + -2 - (5 + sqrt(112) + 3)))**2. -10368*sqrt(7) + 27792 Simplify (-4 + (sqrt(567) + -1)*-5 - (5 + sqrt(28) + (sqrt(168)/sqrt(3))/sqrt(8))*5)**2. 2880*sqrt(7) + 25776 Simplify (-2*-5*sqrt(104)*-3*3)/(((sqrt(64) + 2*sqrt(64) - sqrt(64))*-4)/((-2*sqrt(64) - sqrt(64))/sqrt(8))). -135*sqrt(13)/4 Simplify (6*(2*sqrt(2176)*-3 + sqrt(2176))*5)/((sqrt(2) - (sqrt(288) - sqrt(288)*-1)) + sqrt(6)/sqrt(3)*1 - (sqrt(32)*2*4 + sqrt(32))). 600*sqrt(17)/29 Simplify (6*(0 + 2*sqrt(2448) + sqrt(2448) + sqrt(2448) + -3 + (sqrt(2448) - (sqrt(2448) + 1)) + 3 + (sqrt(2448) + -1)*-5 + sqrt(2448))*5)**2. 14400 Simplify -6*(sqrt(7488) + (sqrt(7488) - (1*sqrt(7488) + sqrt(7488))) + sqrt(52) + sqrt(52) - (sqrt(4212)*2 - sqrt(52)))/(4*sqrt(144)*2)*-2. -15*sqrt(13)/4 Simplify ((sqrt(77) - (sqrt(77) + (-1*sqrt(77) - sqrt(77))))*-6 + 3*sqrt(77)*-5)/((sqrt(210)/(5*sqrt(10)))/sqrt(3)). -135*sqrt(11) Simplify 1*(-6*-4*(2 + 3 + 4*(0 + sqrt(2700) + -3)))**2. -967680*sqrt(3) + 24911424 Simplify (2*(sqrt(605) + sqrt(605)*2 + -2 + (1 + (sqrt(605) - 1*sqrt(605)) - sqrt(605))))**2 + (0 + (sqrt(500) + 2 + -2)*-3)**2. -176*sqrt(5) + 14184 Simplify ((-4*((sqrt(125) - (sqrt(125) + sqrt(125)*-1)) + -2 - sqrt(125) - (4 + 0 + sqrt(125))) + -2)*-1 + 2)*-1. 20 + 20*sqrt(5) Simplify ((-4 + (5 + 4*sqrt(500) + sqrt(500) - (5 + 0 + sqrt(500))))*-4 + 3)**2. -6080*sqrt(5) + 128361 Simplify 5 + (2 + 3 + (sqrt(1573) - ((1 + sqrt(1573))*4 + sqrt(1573))) + -5)**2 + -1. 352*sqrt(13) + 25188 Simplify -3 + (-1*sqrt(51)*3)/(sqrt(3) + sqrt(48) + sqrt(96)/sqrt(2)) - ((sqrt(17) - (sqrt(17)*2 + 5) - ((-1*sqrt(2057))**2 - sqrt(17))) + -3). -sqrt(17)/3 + 2062 Simplify (sqrt(2448) - (-4 + sqrt(2448))**2) + 5 + -1 - (sqrt(1836)*1)/(sqrt(3) - -1*(-1*sqrt(3) + sqrt(3))). -2460 + 102*sqrt(17) Simplify ((0 + sqrt(28) + (sqrt(28) - (2 + sqrt(28))) + sqrt(28))*6 - (-1 + sqrt(28)/sqrt(4) + 5)*3)**2. -1008*sqrt(7) + 3663 Simplify ((1*sqrt(77) + sqrt(77))*5*-2*5)/(sqrt(49)/(3*sqrt(7)) - (sqrt(21)*2)/sqrt(3)) + 1. 1 + 60*sqrt(11) Simplify (sqrt(152) + (6*-1*sqrt(152) - sqrt(152)))/sqrt(8)*-5 + -2*sqrt(57)/sqrt(3) + sqrt(133)/sqrt(28). 57*sqrt(19)/2 Simplify 4 + ((sqrt(33)/(-2*sqrt(3)) - sqrt(11)) + 1*sqrt(275))**2 + ((sqrt(2112)*-2 + sqrt(2112))/((sqrt(36)*-2)/sqrt(12)))**2. 1259/4 Simplify 2 + sqrt(77)/(-6*(sqrt(11)*1 + sqrt(11)) - sqrt(11)) + -5 + 5 + sqrt(77)/sqrt(11). 2 + 12*sqrt(7)/13 Simplify (sqrt(153) + 3*sqrt(153)*-2)/(sqrt(9) + (sqrt(81) - (sqrt(81) + sqrt(81)*-2 + sqrt(81)))) - (sqrt(170)*1*-4)/(sqrt(10) - sqrt(40)*5). -61*sqrt(17)/36 Simplify (sqrt(28) + -2 - -3*sqrt(175) - 4*(sqrt(448) + 1 + 3)**2)*-5. 1195*sqrt(7) + 9290 Simplify (((-1*sqrt(132)*-1 - sqrt(132)) + sqrt(132))*-2*-6)/(4*(sqrt(300) - sqrt(12)) + (sqrt(12) - sqrt(588)*3)). -3*sqrt(11) Simplify -3*((3*sqrt(16)/sqrt(32))/(3*1*sqrt(256) + sqrt(256)) + 5). -15 - 9*sqrt(2)/128 Simplify (((sqrt(18) - (sqrt(2178) - sqrt(18)))*1 - sqrt(18)) + sqrt(450)*3)/((-1*-1*sqrt(108) + sqrt(108) + sqrt(108))/(2*sqrt(12)*-6 + sqrt(12))). -55*sqrt(2)/3 Simplify 2 + -4 + -3*(sqrt(180) + -5*1*sqrt(180))**2*5 + 4. -43198 Simplify ((1*sqrt(238)*-6)/sqrt(7)*-3)/((-1*sqrt(512) + sqrt(512) - sqrt(512))/(sqrt(12)/sqrt(27) + sqrt(4))). -3*sqrt(17) Simplify 2*((4*5*(sqrt(684)*-2)**2 + -3)*2 + -2). 218864 Simplify 3*(sqrt(13) + sqrt(52)/sqrt(4) + -2 + (sqrt(13) + 0)*-4 + sqrt(13) - (-6*(sqrt(117) - (sqrt(117)*-1 - sqrt(117))))/sqrt(9)) + 1. -5 + 51*sqrt(13) Simplify ((((sqrt(143) - sqrt(143)*1)*4 + sqrt(143)*-1*4)*-3)/((sqrt(1584) - 2*sqrt(1584) - sqrt(1584)) + -2*(sqrt(11) + sqrt(77)/sqrt(7))))**2. 117/49 Simplify (-1*(2 + sqrt(832))*2*5 - (((sqrt(832) - -2*sqrt(832)) + sqrt(832))*4 + sqrt(832) + -1 + 1)*-5)**2*3. -72000*sqrt(13) + 14041200 Simplify (sqrt(99)*3*2 + sqrt(99) + -5*(sqrt(99) - -4*sqrt(99)))/(-2*(sqrt(36)/(sqrt(4) + sqrt(12)/sqrt(3)) + sqrt(9) + (sqrt(45)*1)/sqrt(5))). 18*sqrt(11)/5 Simplify (6*sqrt(88)*-4 - (sqrt(88) - (sqrt(88) + -4*sqrt(88)*6)))/((6*(sqrt(32) + sqrt(8)) - ((sqrt(72) - 2*sqrt(72)) + sqrt(72) + sqrt(72)))*5). -16*sqrt(11)/25 Simplify (-1*sqrt(117) + sqrt(117) + 5 - (sqrt(117) + 3*(-3 + sqrt(117)) + sqrt(117) + sqrt(117))**2) + -2 + ((1*(sqrt(234) + sqrt(26)))/sqrt(2)*-1)**2. -4082 + 324*sqrt(13) Simplify (-4*(sqrt(99) - sqrt(99)*-4) + -1*sqrt(99)*-3)/(4*sqrt(324)*3). -17*sqrt(11)/72 Simplify 4 + (((sqrt(240) - 2*sqrt(240))*4)/sqrt(4))/((sqrt(12) - sqrt(96)/sqrt(512))*3). -32*sqrt(5)/21 + 4 Simplify (sqrt(24)/sqrt(2)*-1)/sqrt(6)*3 + ((sqrt(10)/sqrt(5))**2 + 4 - -3*sqrt(72)). 6 + 15*sqrt(2) Simplify 2*(-1 + 1 + 2 + -4*(3 + sqrt(108)) + -3)*5. -240*sqrt(3) - 130 Simplify (sqrt(144)/(3*4*sqrt(8)))/(sqrt(6) - (sqrt(486) - 2*sqrt(486)) - (sqrt(864) - sqrt(864)*1)). sqrt(3)/120 Simplify (-1*(sqrt(847) + -1 + sqrt(847)) + -2)**2 - (-2 + sqrt(77)/(-3*sqrt(11)*2)). 265*sqrt(7)/6 + 3391 Simplify (1 + sqrt(448) + 1 + 0 + sqrt(448)*-4 + -5)**2 + 3 + -2. 144*sqrt(7) + 4042 Simplify 5*(sqrt(245) + -1 + 2)**2*-6 - (-1*-2*sqrt(245) + -5)**2*-1. -6375 - 560*sqrt(5) Simplify 5 + sqrt(125)*5 + sqrt(20)*2 + sqrt(20) - (((sqrt(180) - -1*sqrt(180)) + 4 - (sqrt(180) + 0 + -2*sqrt(180)))**2 + 3). -1634 - 113*sqrt(5) Simplify -4 + ((sqrt(110) - (-6*-1*sqrt(110) + sqrt(110))) + 2*sqrt(110)*6)/(-5*sqrt(50)/sqrt(5) - sqrt(90)/(sqrt(9)*-2)) + 2. -4*sqrt(11)/3 - 2 Simplify (-6*-4*(-6*((-2 + (sqrt(68) - (0 + sqrt(68))) - sqrt(68)) + sqrt(68)) + -2)*3)**2. 518400 Simplify (-4*(((sqrt(140) - -1*sqrt(140))/sqrt(5))/(3*sqrt(63)))/(-1*3*sqrt(2) + sqrt(504)/sqrt(7)))**2. 128/729 Simplify -3 + 4 + sqrt(176) + 0 - ((-4*(sqrt(1331) - (sqrt(1331) + -2)))**2 + (2 + sqrt(1331) + 2)**2). -1410 - 84*sqrt(11) Simplify (3*(1 + 1 + 1 + (sqrt(539) - (-2*sqrt(539) + -3) - sqrt(539)) + sqrt(539) + -5 + -2))**2. -378*sqrt(11) + 43668 Simplify 2 + -5*(1 + (6*(sqrt(1300)*4 + sqrt(1300)) - (-4 + sqrt(1300) + 1))**2). -5466548 - 8700*sqrt(13) Simplify -6*(2 + -5*(sqrt(200)*1*4 + sqrt(200)*-1*1 + 4)**2)*-6. -326808 - 43200*sqrt(2) Simplify -4*((sqrt(931)*-2 + sqrt(931) + sqrt(931))*-6*-6 - (1*sqrt(19)*3 + sqrt(114)/(sqrt(6) - (sqrt(6) + sqrt(6)*-3))))**2. -7600/9 Simplify (-6*-2*sqrt(700)*-6 + ((sqrt(700) - -2*sqrt(700))*4)**2*3)*-4*-5. -14400*sqrt(7) + 6048000 Simplify (-3 + 3*sqrt(1620))**2 + (((sqrt(1250) + sqrt(50))*-3)/sqrt(10)*-2)**2. -324*sqrt(5) + 21069 Simplify 3 + -6*-2*(sqrt(19) + sqrt(475) + 2 + sqrt(114)/(sqrt(6)*1 + sqrt(6)) - -5*(-3 + sqrt(19) + sqrt(684))). -153 + 498*sqrt(19) Simplify ((4 + (sqrt(500) - 1*sqrt(500) - sqrt(500)) - (-2*sqrt(500) + 3)) + 2)**2 + -2*(sqrt(245)*-2)**2 + -4 + -4. -1459 + 60*sqrt(5) Simplify (((sqrt(102)/sqrt(6) - sqrt(17)) + -5 - sqrt(17) - 6*sqrt(17)*1) + 4 + (sqrt(153) + 1)*5 + sqrt(153) + -4 + sqrt(153)*-3)**2. 68 Simplify 4*(0 + sqrt(405) + 1)**2 - -6*((sqrt(5) + -1)*-4 + -2). 48*sqrt(5) + 1636 Simplify (sqrt(896)*3 - sqrt(56) - sqrt(56))/(sqrt(48)/(sqrt(6)*-1 - sqrt(6))) - 2*(-6*(3 + sqrt(847)) + sqrt(847)). 36 + 90*sqrt(7) Simplify 1*(-2 + (sqrt(110) - (sqrt(110) + 4*1*sqrt(110)))/(sqrt(90)*4 - sqrt(10)))*6. -12 - 24*sqrt(11)/11 Simplify -1*-5*sqrt(2057)*1 + -2 - (-4 + 5 + sqrt(833) + sqrt(833)*1 + 0)**2. -3335 + 27*sqrt(17) Simplify 1*(-2 + (0 + ((sqrt(1216) + 1 + sqrt(1216))*4 + (0 + 1*sqrt(1216) - sqrt(1216)))*-3)**2). 4608*sqrt(19) + 700558 Simplify (sqrt(228)/((sqrt(24)/sqrt(2) + sqrt(12))*2) + ((sqrt(171) - 1*sqrt(171)) + sqrt(19))*-5 + -5 + -1 + sqrt(1539) + -1 + -5)**2. -102*sqrt(19) + 7795/16 Simplify (((sqrt(363)*-1 - sqrt(363))/sqrt(11) - sqrt(33)) + (sqrt(825) + sqrt(33) + sqrt(33))*-1)/(sqrt(176) + 1*sqrt(176) - sqrt(176) - -2*sqrt(99)). -sqrt(3) Simplify 2 + (sqrt(44)/sqrt(16) + (sqrt(396)*1)**2 + -5 - 1*((sqrt(176) + sqrt(11))*-2 - 6*(2*sqrt(11) - sqrt(11)))). 33*sqrt(11)/2 + 393 Simplify (-6*(sqrt(2448) - (-3 + sqrt(2448) + -2))*1 + (sqrt(2448) - (sqrt(2448) + 2*sqrt(2448) + sqrt(2448))) + 3 + (4 + sqrt(2448))*5)**2. -336*sqrt(17) + 9841 Simp
{ "pile_set_name": "DM Mathematics" }
= 0 for i. -1 Solve 2*k + 30 = 8*k for k. 5 Solve 24*y = 8 - 32 for y. -1 Solve -45*m = 152 + 118 for m. -6 Solve 49*p - 62*p = 117 for p. -9 Solve -12 = -5*f - 27 for f. -3 Solve 0 = 13*q - 26 - 13 for q. 3 Solve 63*v + 45 = 78*v for v. 3 Solve -74 = 9*c - 29 for c. -5 Solve 7*c + 24 = -11 for c. -5 Solve 62*r - 48*r = 56 for r. 4 Solve 0 = -3*j + 436 - 442 for j. -2 Solve 675*v + 16 = 671*v for v. -4 Solve 11 = 4*s + 7 for s. 1 Solve 0 = -9*u + 17*u + 32 for u. -4 Solve 71*t = -63 + 276 for t. 3 Solve 11 = -6*v + 11 for v. 0 Solve -27 = -514*o + 541*o for o. -1 Solve 177*a = 172*a - 10 for a. -2 Solve 0 = -2*c + 3 - 1 for c. 1 Solve 43*i - 42*i + 4 = 0 for i. -4 Solve -17*b = 1 - 154 for b. 9 Solve 1 = 7*a + 8 for a. -1 Solve -47 - 49 = -24*a for a. 4 Solve 333*d = 316*d + 136 for d. 8 Solve 92 - 67 = -5*a for a. -5 Solve 0 = 34*r - 18*r - 32 for r. 2 Solve -6*v - 63 + 15 = 0 for v. -8 Solve 7155*b - 7146*b - 36 = 0 for b. 4 Solve -706 + 762 = -8*l for l. -7 Solve -6*k + 83 = 71 for k. 2 Solve 0 = 41*b - 349 + 62 for b. 7 Solve -3 = -g - 0 for g. 3 Solve 6*n = 12 - 0 for n. 2 Solve -4 = -25*u + 29*u for u. -1 Solve 1315 = -7*x + 1378 for x. 9 Solve -7 = -6*j - 1 for j. 1 Solve -6*x = -1 + 7 for x. -1 Solve 8*f - 3 = -11 for f. -1 Solve -5*i - 27 = -7 for i. -4 Solve 5*d - 4 - 16 = 0 for d. 4 Solve -3*a = 722 - 752 for a. 10 Solve -7*w - 176 = -232 for w. 8 Solve 15 - 11 = 4*s for s. 1 Solve 18*i + 5 = 17*i for i. -5 Solve 0 = 19*m - 21*m - 8 for m. -4 Solve -13*w + 11 + 41 = 0 for w. 4 Solve 0 = 44*b - 49*b - 40 for b. -8 Solve 9*d = -16 + 43 for d. 3 Solve -7 + 23 = 4*a for a. 4 Solve 2*f - 65 + 57 = 0 for f. 4 Solve 0 = 9*a + 22 + 68 for a. -10 Solve 0 = -16*r + 9*r - 7 for r. -1 Solve -d + 2*d - 1 = 0 for d. 1 Solve 4*b = 20 - 0 for b. 5 Solve -10*s + 17*s = -21 for s. -3 Solve -71*u + 46 = -25 for u. 1 Solve -9*n + 80 = 17 for n. 7 Solve 13*r - 4 = 15*r for r. -2 Solve -10*b + b = 0 for b. 0 Solve 16 = 7*q - 5 for q. 3 Solve 425*z - 416*z = -81 for z. -9 Solve -9*u - 374 + 455 = 0 for u. 9 Solve 17*r - 6 = 14*r for r. 2 Solve 4*y + 56 = 80 for y. 6 Solve -22 = -5*n - 22 for n. 0 Solve -9*z - 15*z = 120 for z. -5 Solve -8 = -9*r + 10 for r. 2 Solve 2*i + i = -15 for i. -5 Solve 0 = 209*y - 214*y + 10 for y. 2 Solve -277*c + 349*c + 432 = 0 for c. -6 Solve 68*l + 94 = 26 for l. -1 Solve 0 = g + 37 - 34 for g. -3 Solve -111 = -g - 113 for g. -2 Solve -34*a - 52 = -8*a for a. -2 Solve 447*u = 454*u + 7 for u. -1 Solve 0 = -50*l + 51*l - 2 for l. 2 Solve 441*y - 433*y = 40 for y. 5 Solve -335 = 40*d - 15 for d. -8 Solve -7*c = 164 - 115 for c. -7 Solve -33*x - 76 = -10 for x. -2 Solve -1550 = -13*t - 1472 for t. 6 Solve 15*s = -10 - 5 for s. -1 Solve -8*t + t = -14 for t. 2 Solve 0 = n + 5 for n. -5 Solve 52*u - 219 = -21*u for u. 3 Solve -9*h - 14 = -50 for h. 4 Solve 3*a + 20 = -a for a. -5 Solve 0 = 4*q - 57 + 49 for q. 2 Solve -25*t + 21*t = -20 for t. 5 Solve -47 + 49 = -a for a. -2 Solve 0 = -22*p + 22 + 44 for p. 3 Solve 0 = -10*m + 21*m - 33 for m. 3 Solve 36 = -a - 8*a for a. -4 Solve -85*h = -30*h - 220 for h. 4 Solve 9 = -6*p + 33 for p. 4 Solve -6*h = h - 7 for h. 1 Solve 69*p - 67*p - 4 = 0 for p. 2 Solve 0 = -7*n - 124 + 145 for n. 3 Solve 6*n + 9 = -3*n for n. -1 Solve 0 = -26*k - 52 for k. -2 Solve 420 = -12*m - 128*m for m. -3 Solve r + 3 + 1 = 0 for r. -4 Solve -21*f - 16 = -17*f for f. -4 Solve 28 = 106*x - 102*x for x. 7 Solve 495*m - 499*m = -12 for m. 3 Solve 0*o = 3*o - 6 for o. 2 Solve 0 = -17*t + 14*t - 12 for t. -4 Solve 5*y - 9 = -4 for y. 1 Solve 19*g = 4*g + 60 for g. 4 Solve -39 = 7*q - 18 for q. -3 Solve -2*q + 122 = 130 for q. -4 Solve 0 = u - 2*u - 4 for u. -4 Solve 0 = -a + 80 - 82 for a. -2 Solve 0*y = -y + 5 for y. 5 Solve -143*x + 65 = -130*x for x. 5 Solve 15*g - 114 + 24 = 0 for g. 6 Solve 54 = -5*g + 29 for g. -5 Solve -14*w - 341 = -411 for w. 5 Solve -x = 20 - 19 for x. -1 Solve -13*m = -32 - 7 for m. 3 Solve -82*w = -23*w - 118 for w. 2 Solve 9*z + 2 = 8*z for z. -2 Solve -64 - 36 = -20*s for s. 5 Solve -16*r - 60 = -172 for r. 7 Solve 2*r + 6 = -0*r for r. -3 Solve 6 = 164*v - 166*v for v. -3 Solve -4 = 16*q - 15*q for q. -4 Solve 177 = -d + 175 for d. -2 Solve -17*i = -25*i for i. 0 Solve -26*k = -33*k + 14 for k. 2 Solve -175*q = -150*q + 225 for q. -9 Solve 708*k = 707*k + 7 for k. 7 Solve -81 = -3*f - 69 for f. 4 Solve -w = -4*w + 15 for w. 5 Solve 3*q - 14 = -11 for q. 1 Solve 4*c - 4 = 2*c for c. 2 Solve -12*o - 39*o + 16*o = 0 for o. 0 Solve 0 = 35*m + 194 + 51 for m. -7 Solve -25 = 4*t + t for t. -5 Solve 7*i + 6 = 9*i for i. 3 Solve 0 = -84*p + 56*p + 168 for p. 6 Solve -2*z + 3*z = -0*z for z. 0 Solve 0 = 18*u - 16*u - 10 for u. 5 Solve -15*n + 188 = 32*n for n. 4 Solve 8*w = 12*w for w. 0 Solve 41*i = 57*i + 32 for i. -2 Solve 578*o + 25 = 573*o for o. -5 Solve 4*g - 13 + 9 = 0 for g. 1 Solve -11*s + 15*s = 16 for s. 4 Solve 238 = -35*q + 308 for q. 2 Solve -13*r + 10 = 62 for r. -4 Solve 4*o + 28 = -3*o for o. -4 Solve 106 - 74 = 32*t for t. 1 Solve 397*q - 402*q = 15 for q. -3 Solve 5*u + 19 = -6 for u. -5 Solve -11*y = 12 - 56 for y. 4 Solve 2*v - 24 + 26 = 0 for v. -1 Solve -2 = b + 2 for b. -4 Solve 5*y - 113 = -88 for y. 5 Solve -160 = 16*j - 32 for j. -8 Solve 0 = -21*f - 4*f + 75 for f. 3 Solve 12*k - 37 + 1 = 0 for k. 3 Solve 2*o + 29 = 35 for o. 3 Solve 21*l + 97 = -8 for l. -5 Solve -38*b = -236 - 68 for b. 8 Solve -4*q - 30 = -18 for q. -3 Solve -26*d - 83 = -5 for d. -3 Solve 8*t + 17 - 57 = 0 for t. 5 Solve -54*w = -46*w + 32 for w. -4 Solve 0 = j - 17 + 14 for j. 3 Solve 16*g + 107 - 11 = 0 for g. -6 Solve -1186 = 8*d - 1178 for d. -1 Solve 14 = 10*q + 4*q for q. 1 Solve 5*v + v = -18 for v. -3 Solve 21*y - 38 - 4 = 0 for y. 2 Solve -1 = -15*k + 14 for k. 1 Solve -63 = 3*t - 66 for t. 1 Solve -26*q + 68 = -9*q for q. 4 Solve -6*x = 178 - 154 for x. -4 Solve 4*f + 0*f - 12 = 0 for f. 3 Solve 0 = 19*y - 20*y + 2 for y. 2 Solve 13*k = -10*k for k. 0 Solve 30 = -12*o + 42 for o. 1 Solve -5*q - 8 = 2 for q. -2 Solve -47 - 1 = -16*i for i. 3 Solve -104*c = -131*c + 27 for c. 1 Solve -6*f + 16 = 10 for f. 1 Solve 17 = 8*v - 23 for v. 5 Solve 19*p = -18 - 39 for p. -3 Solve -508 + 100 = -51*b for b. 8 Solve 0 = -17*y - 14 - 3 for y. -1 Solve 0 = 5*a - 12*a - 35 for a. -5 Solve -579*w + 568*w - 55 = 0 for w. -5 Solve 2*h + 47 = 51 for h. 2 Solve 0 = -5*u + 31 - 21 for u. 2 Solve -29*l + 104 + 12 = 0 for l. 4 Solve 8 = -4*j + 12*j for j. 1 Solve 4*s = -0*s - 16 for s. -4 Solve 358 = 4*k + 378 for k. -5 Solve -7*p - 19 + 5 = 0 for p. -2 Solve 4 = 5*u + 14 for u. -2 Solve 0 = 2*y - 3507 + 3505 for y. 1 Solve -34*h + 69 = 35*h for h. 1 Solve f = 4*f - 12 for f. 4 Solve -17*j - 383 = -298 for j. -5 Solve -465 + 453 = -2*h for h. 6 Solve 0 = 183*h - 202*h - 38 for h. -2 Solve 19*m - 24*m = 30 for m. -6 Solve 18*h - 20 = 70 for h. 5 Solve 8*h - 18 = -h for h. 2 Solve -3*j = j - 2*j for j. 0 Solve 0 = 4*v + 11 - 3 for v. -2 Solve -2*i - 34 = -30 for i. -2 Solve z + 14*z = -60 for z. -4 Solve 5*j - 8*j = 6 for j. -2 Solve 4 = -12*w + 11*w for w. -4 Solve -16*r + 290 = 242 for r. 3 Solve -4*l = -24*l - 60 for l. -3 Solve -450*v - 187 = -467*v for v. 11 Solve -42*b = -13*b + 29 for b. -1 Solve -8*v = -2*v - 18 for v. 3 Solve 0 = 132*v + 180 - 708 for v. 4 Solve 0 = -4*z + 2*z - 6 for z. -3 Solve 0 = 54*h + 2*h + 336 for h. -6 Solve 0 = 158*r - 165*r + 7 for r. 1 Solve -19 = -6*l - 1 for l. 3 Solve -158 = -3*f - 176 for f. -6 Solve 0 = 47*j - 12 + 294 for j. -6 Solve 188*x + 12 = 191*x for x. 4 Solve 0 = 21*v - 149 + 2 for v. 7 Solve 9*t - 19 = -64 for t. -5 Solve -6*n = 110 - 98 for n. -2 Solve 0 = -0*i - 8*i - i for i. 0 Solve -11*f - 32 = 23 for f. -5 Solve 35*q - 40*q = 25 for q. -5 Solve 34*y = 10*y - 48 for y. -2 Solve 215*n = 208*n - 14 for n. -2 Solve 30 = -q - 14*q for q. -2 Solve 90 - 140 = 10*c for c. -5 Solve 264 = -47*d - 65 for d. -7 Solve 0 = -49*a + 45*a - 12 for a. -3 Solve 4*f = -6*f for f. 0 Solve -6*t - 73 = -43 for t. -5 Solve 0 = i - 56*i + 110 for i. 2 Solve -5*i = 19 + 6 for i. -5 Solve -111*s + 480 = -31*s for s. 6 Solve 36 = -0*s + 6*s for s. 6 Solve -20*v + 68 = -3*v for v. 4 Solve 2 = 7*u - 9*u for u. -1 Solve 13*x - 1072 = -1137 for x. -5 Solve -18 = -3*z - 33
{ "pile_set_name": "DM Mathematics" }
ve of -3635523*q**6 - 2*q**2 + 63650*q + 7? -436262760*q**3 Differentiate -1889*t**3*w**2 - t**3 + 7*t**2*w**2 + 131*t + 109 wrt w. -3778*t**3*w + 14*t**2*w What is the first derivative of 140421*j - 372529 wrt j? 140421 Differentiate -f*n*r + 2*f*r + 29*f + 539*n**3*r - 5*n**2*r**2 - 7*r**2 + r + 75 with respect to n. -f*r + 1617*n**2*r - 10*n*r**2 Differentiate 64713*o*t - 217824*o + 5*t with respect to t. 64713*o + 5 What is the derivative of z**2 + 2337*z - 22082 wrt z? 2*z + 2337 What is the third derivative of 2*f**2*h**3 + 6518*f**2 - 516*f*h**4 - 3*f*h**2 - 3*h**4 wrt h? 12*f**2 - 12384*f*h - 72*h What is the second derivative of -4466157*y**2 - 26*y + 12507 wrt y? -8932314 What is the third derivative of 3507302*u**3 - 1225*u**2 + 4*u + 13? 21043812 What is the second derivative of 39556*g**2 - 443*g? 79112 What is the third derivative of -46*c*h**3 + 4*c*h**2 - 225*c*h - c + 7*h**5 + 10*h**4 - 3*h**2 wrt h? -276*c + 420*h**2 + 240*h What is the second derivative of -24114*l**4 - 35179*l - 6? -289368*l**2 What is the derivative of -16031*n**2 - 73947? -32062*n What is the derivative of 150149*m**4 + m**2 - 96341? 600596*m**3 + 2*m Find the second derivative of -26540*d**5 - 22733*d wrt d. -530800*d**3 Find the second derivative of -19785*i**2*n + 5*i + 1951*n wrt i. -39570*n What is the second derivative of 464212*d**5 + 12*d + 61166 wrt d? 9284240*d**3 What is the second derivative of 2*d**3*l**2 + 208*d**3*l - 2*d**2*l**2 - 6*d - 797*l**2 + 2 wrt d? 12*d*l**2 + 1248*d*l - 4*l**2 What is the third derivative of -176*a**5 + a**4 + 4*a**3 - 2*a**2 - 31308 wrt a? -10560*a**2 + 24*a + 24 Differentiate 2*x**3 + 3*x**2 + 354270*x + 2914378 wrt x. 6*x**2 + 6*x + 354270 What is the second derivative of -19027*t**4*z + 47093*t*z wrt t? -228324*t**2*z What is the first derivative of -2*l**3 - 77*l*n - 217*l - 332237*n wrt l? -6*l**2 - 77*n - 217 Differentiate -642272*j*v - 342711*j + 4 wrt v. -642272*j What is the second derivative of x**3 + 1687*x**2 + 6*x - 447 wrt x? 6*x + 3374 Find the second derivative of -g**3*u**2*v - 7*g**3*u**2 + 23634*g**3*v**2 + 4*g**3 + 7*g**2*u**2*v**2 + 8*u**2 - 41*u wrt v. 47268*g**3 + 14*g**2*u**2 Find the second derivative of -34*g**3*r*w**2 - 4416*g**3*w**2 + 2*g*r + g*w**2 + 21*r*w**2 - 4*r*w + 141*w wrt g. -204*g*r*w**2 - 26496*g*w**2 What is the second derivative of 33*b**2*q**2 + 235*b**2 - 5*b*q**2 - b + 5*q**2 - 3*q + 2 wrt q? 66*b**2 - 10*b + 10 What is the second derivative of -58006*b**5 + b**4 - 14*b + 10143 wrt b? -1160120*b**3 + 12*b**2 What is the first derivative of 578314*k**2 + 623243? 1156628*k Find the second derivative of 82475*b**2*o**2 - 2*b**2*o - 133339*b**2 wrt o. 164950*b**2 Find the first derivative of -73852*p - 184983 wrt p. -73852 What is the first derivative of -2*t**2*z - 54108*t*v + 3117*v*z + z wrt t? -4*t*z - 54108*v What is the first derivative of 51613*t**2 - 59861? 103226*t What is the first derivative of -3229495*j + 519439 wrt j? -3229495 Find the second derivative of -7*d*g**4 - 386*d*g**3 + 2*d*g**2 - 18654*d*g + 2*d wrt g. -84*d*g**2 - 2316*d*g + 4*d What is the second derivative of -270*j**4 - 34*j**3 + 2*j - 41162? -3240*j**2 - 204*j What is the second derivative of -17402*b**4 - b**3 + 174*b - 23? -208824*b**2 - 6*b Find the third derivative of 35070*x**6 - 49*x**2 + 3*x. 4208400*x**3 Differentiate 12*c*u**2 + 910*c*u + 2*c + 41489*u**2 - u + 1 wrt c. 12*u**2 + 910*u + 2 What is the second derivative of 3711*d**3 - 5*d**2 + 92*d - 84 wrt d? 22266*d - 10 Find the third derivative of -414753*m**4 + 43311*m**2 + 48. -9954072*m What is the third derivative of 2812364*r**3 - 3003429*r**2? 16874184 Find the third derivative of 1262336*s**3*u - 33*s**2*u + 9*s**2 + 105*u wrt s. 7574016*u Find the first derivative of 1773*d*m*y + d*y + 2*d + 11049*m*y - 2*m - 3*y wrt d. 1773*m*y + y + 2 Find the third derivative of 58949*l**5 + 4*l**2 + 5834*l + 4. 3536940*l**2 What is the second derivative of 795419*v**4 + v**3 - 4013*v - 100? 9545028*v**2 + 6*v What is the second derivative of -1150*r**4 + 18*r**3 - 6*r**2 - 1911742*r - 1? -13800*r**2 + 108*r - 12 What is the second derivative of -55*j*o**2 + j - 1779*o**4 + 3026*o wrt o? -110*j - 21348*o**2 What is the derivative of 711106*s**4 + 513341? 2844424*s**3 What is the second derivative of -19*d**3 - 793*d**2 + 91233*d? -114*d - 1586 What is the third derivative of 41*s**4 + 354*s**3 - 64*s**2 - 9*s + 25 wrt s? 984*s + 2124 What is the first derivative of 126*y**2 - 7*y - 172212 wrt y? 252*y - 7 Find the second derivative of 9*y**4 - 118*y**2 - 455*y - 123. 108*y**2 - 236 Find the second derivative of 2624781*v**3 + 3174711*v wrt v. 15748686*v Find the third derivative of 377451*o**4 - 1000*o**2 - 31. 9058824*o Find the third derivative of -92*c**5*h - 1102*c**3*h - c**2*h + c**2 + 3*c + 6749*h wrt c. -5520*c**2*h - 6612*h What is the third derivative of 16934*q**4 + 21*q**3 + 350*q**2 - 29? 406416*q + 126 Find the third derivative of -11*d**3*n*y**3 - 1974*d**3*n - 4*d**3*y**3 + 12580*d**2*n*y**3 - d**2*y**3 + d*n*y - 3*n*y**3 - y**2 wrt d. -66*n*y**3 - 11844*n - 24*y**3 Differentiate -4579659*s*t - 2092*s - 67 wrt t. -4579659*s What is the derivative of 8291*n**3*q*t**3 + 3*n**2*q*t**3 - q*t**2 + 139*t**3 - 2*t**2 wrt n? 24873*n**2*q*t**3 + 6*n*q*t**3 What is the third derivative of -795277*w**3 - 276*w**2 + 1502*w? -4771662 Find the second derivative of -1893735*s**2 - 16*s + 23313 wrt s. -3787470 Find the second derivative of 1505976*h**2*q - 13594*h*q - 9*h - 3 wrt h. 3011952*q Find the second derivative of 2*d**3*l**2 - 2*d**2*l**2 - 861*d**2*l - 657*d + 3*l**2 - 1 wrt d. 12*d*l**2 - 4*l**2 - 1722*l What is the derivative of -190*i*m**4 - 112*i - 293*m**4 + 334 wrt m? -760*i*m**3 - 1172*m**3 What is the second derivative of 747*i**5*w - 10*i**5 - 3*i*w - 2*i + 2*w - 413 wrt i? 14940*i**3*w - 200*i**3 Find the third derivative of 232824*t**3 - 228500*t**2 wrt t. 1396944 What is the first derivative of -14813*b**4*l - 2*b**2*l - 20306*l wrt b? -59252*b**3*l - 4*b*l Find the third derivative of -5*a**3*s**5 + a**3*s + 4*a**2*s**2 + 14001*s**4 + 2545*s wrt s. -300*a**3*s**2 + 336024*s Find the third derivative of 935*c**2*x**4*y**2 - 6*c**2*x**2*y**2 - 2*c**2*x**2 + 177*c**2*x*y**2 - 233*c*x**4 + 9*x**2*y - x**2 + 2*y**2 wrt x. 22440*c**2*x*y**2 - 5592*c*x What is the third derivative of 3*a**5 - 5839*a**4 + 7*a**3 + 94531*a**2 wrt a? 180*a**2 - 140136*a + 42 What is the derivative of 62*u**3 + 45*u**2 + u - 24616? 186*u**2 + 90*u + 1 What is the third derivative of -5*y**5 - 76*y**4 - 25*y**3 - 71370*y**2 wrt y? -300*y**2 - 1824*y - 150 What is the second derivative of -153336*b**3 + 645941*b wrt b? -920016*b Differentiate 862912*s + 352506. 862912 Find the third derivative of -2*c*j**2*m**4 - c*j**2*m**2 - 4*c*j*m**3 + 22031*j**2*m**2 - 360*m**4 wrt m. -48*c*j**2*m - 24*c*j - 8640*m What is the first derivative of -45245*j*o - 4*j - o - 164494 wrt j? -45245*o - 4 Find the second derivative of -5983*y*z**2 + 3*y*z - 8749*y + 7*z**2 wrt z. -11966*y + 14 What is the third derivative of -14405*r**6 + 7*r**3 + 860*r**2 - 18? -1728600*r**3 + 42 Find the first derivative of 151817*j**3 - 6*j**2*t**2 + 3675215*t**2 wrt j. 455451*j**2 - 12*j*t**2 What is the first derivative of 976368*n**2*z - n**2 + 581967*n - z wrt z? 976368*n**2 - 1 What is the third derivative of 1056*k**3*m**3 - k**3*m + 13*k**2*m**3 + 15*k*m - 27*m**2 wrt m? 6336*k**3 + 78*k**2 Find the third derivative of -637249*u**3 - 547941*u**2. -3823494 What is the derivative of -3240479*q + 2935724? -3240479 Find the third derivative of -38316*g**3*h**3*t - 4*g**3*h*t - g**3 - 2*g**2*h**2*t - 21*g**2*t + 3*g*h*t - h**3 - 81*h*t wrt g. -229896*h**3*t - 24*h*t - 6 What is the second derivative of -32158*d**3*t**3 + 17*d*t**3 - 57*d*t wrt d? -192948*d*t**3 Find the second derivative of 604610*g**2 - 4*g - 141700 wrt g. 1209220 What is the second derivative of -7496*a**2 - 31143*a? -14992 Find the third derivative of 36850*m*z**5 + 8*m*z**2 - 10*z**5 + 93523*z**2 wrt z. 2211000*m*z**2 - 600*z**2 Find the first derivative of -20*b**2*x**3 - 1606070*b**2 + 36849*x**4 wrt x. -60*b**2*x**2 + 147396*x**3 Find the second derivative of 2037193*x**5 - 806849*x - 2. 40743860*x
{ "pile_set_name": "DM Mathematics" }
(b) -21 (c) 86 a Which is the closest to 0.099? (a) 24 (b) 0.4 (c) -1/8 (d) 0 d What is the closest to 0.276 in 2/9, -2, -5, -0.59? 2/9 What is the closest to -64 in -1, 4, -5/6, -5, 0.3? -5 What is the nearest to 0.3 in -2/15, 2/29, 2/15, -725, -3? 2/15 Which is the nearest to -2/125? (a) -2 (b) 0 (c) 1.4 b What is the closest to 19/14 in -4, -0.9, 0.5, 2/3, 3? 2/3 What is the closest to -3 in 0.1, -2/5, 0.0222, -4? -4 Which is the closest to -2? (a) -2/15 (b) 2297 (c) 1 (d) -2 (e) 6/5 d Which is the closest to -8.7? (a) 2 (b) -2 (c) -2/19 (d) 1 (e) -153 b Which is the nearest to 1/6? (a) 0.3 (b) 4 (c) 6/7 (d) -325 (e) -5 a What is the nearest to 1 in 0, 0.1015, 11/6? 11/6 What is the closest to -3840/41 in -2, -0.2, 4/7, 1/3? -2 Which is the closest to 38? (a) -0.095 (b) -2 (c) -5 (d) -7 a Which is the closest to -2? (a) 9/4 (b) 0.9 (c) 18 (d) 1/8 (e) 3 d What is the nearest to 0.1 in 0.4, 94/13, 28, 5/4? 0.4 What is the closest to 0 in -7793, 5, 0.2, -3/10? 0.2 Which is the closest to 0? (a) -1/3 (b) -0.15 (c) -3.3 b Which is the nearest to 7/5? (a) 2/3 (b) -32.3 (c) 1 (d) 2 (e) 4 c Which is the closest to -12? (a) 0.04 (b) 2 (c) 284 a Which is the nearest to 0.2? (a) 26 (b) -1.3 (c) 0.1 (d) 0.4 (e) -2/19 c What is the closest to -1 in -0.5, 0.02, 2/3, 0.2, 341? -0.5 What is the closest to -10 in -1.29, 0.16, 1/4? -1.29 What is the nearest to 0 in 0, 0.4, 3, 52.9? 0 What is the nearest to -1 in -4, -3, -0.3, -1/4, -3.7? -0.3 Which is the nearest to 0.4? (a) 2 (b) 29 (c) 52 a Which is the closest to -572? (a) -2/5 (b) -0.3 (c) 4/23 (d) 3/2 a Which is the nearest to 2/3? (a) 0.19 (b) -182 (c) 0.2 c Which is the closest to 1/61? (a) 2/5 (b) 5/3 (c) 3 (d) -3 a What is the closest to 2/7 in -5, -1, -2/23, -11, -1/4? -2/23 What is the nearest to -1/10 in -0.5, 117, -0.084, -4, 1/2? -0.084 Which is the nearest to -0.1? (a) 0.4 (b) -0.08 (c) 65/44 (d) 4 (e) 1.5 b Which is the closest to 0.3? (a) -4 (b) -2 (c) 39.03 (d) 1/6 d What is the nearest to -0.2 in -123, -7, 5, -2.02? -2.02 What is the closest to 13 in -2, 5, -5, -10? 5 What is the nearest to -60 in 82, 4, -1, -3? -3 Which is the closest to 19? (a) -37 (b) -0.2 (c) -3/7 b Which is the nearest to -1? (a) 2 (b) 0.38 (c) 3.3 (d) -2/7 (e) 2/5 d What is the closest to 115 in -0.2, -0.1, 0? 0 Which is the closest to -8? (a) -0.6 (b) -6 (c) -1 (d) 3 (e) 2/9 b What is the nearest to 4 in -5/3, -0.3, 35/2, 1/3, 1/30? 1/3 What is the nearest to -2/3 in 0.2, 469, 0.13, 2? 0.13 Which is the nearest to 0? (a) -0.12 (b) 1/4 (c) -39826 a Which is the closest to 1/6? (a) -2/5 (b) -2 (c) -0.3 (d) 1 (e) -0.065 e Which is the closest to 0? (a) -367 (b) 0.5 (c) 2/13 (d) -16 c What is the closest to 0 in -3090, -3/8, 3, 0, 20? 0 Which is the closest to -286? (a) 0 (b) 0.2 (c) -50 (d) -1/3 c What is the nearest to -1/5 in 0.5, 1/8, -13.1, 1, 0.6? 1/8 What is the nearest to -20.1 in -0.3, -6507, -5? -5 Which is the nearest to 1? (a) -34847 (b) 3/7 (c) -0.4 b Which is the nearest to -6/23? (a) 3/2 (b) -2/7 (c) -1/2 (d) -2/37 b What is the closest to -69 in -17/5, -12/5, -1? -17/5 What is the closest to -2 in -1/6, -60, -3, -12/13, 5? -3 Which is the nearest to -0.01? (a) 4/17 (b) 1 (c) 2/15 (d) 2/3 c What is the nearest to -38/5 in 1, 1/6, 2, -1937? 1/6 What is the closest to 0 in 1/3, -1/5, 4, -21646? -1/5 What is the closest to -7/4 in -60, 5, -2, 34? -2 Which is the nearest to 1/3? (a) -42/55 (b) -0.1 (c) -3/4 (d) -0.4 b Which is the closest to 0.1? (a) 0.2 (b) -1 (c) 15959 (d) 4 (e) 2/21 e Which is the closest to 61? (a) 1 (b) 1/5 (c) -0.4 (d) -0.02 (e) -3 a Which is the nearest to 3.76? (a) 0.3 (b) 5 (c) -5 (d) 104 b What is the closest to 0.1318 in 183, -1, -5? -1 Which is the closest to 1/4? (a) -5 (b) -0.31199 (c) 2 b Which is the closest to 8? (a) -5 (b) -4 (c) -8/521 c What is the nearest to -0.08 in 2, 1/18, 125? 1/18 Which is the nearest to 8? (a) -2/29 (b) -0.2 (c) -0.329 a What is the nearest to -0.1 in 0.1, 1/5, -23.9, 0.052, -1/2? 0.052 Which is the nearest to -11? (a) 0 (b) 1 (c) 0.8 (d) 0.138 (e) -1/6 e What is the nearest to -8 in -2/11, 15, -1/2, -13, -30/13? -13 Which is the closest to -0.5? (a) 13 (b) 7 (c) 4 (d) 2 d What is the nearest to 1 in -9/8, -40, 2/5? 2/5 What is the nearest to -2/221 in -6, 5, -4? -4 Which is the nearest to 0? (a) -3/134 (b) -1 (c) 177 a What is the nearest to 1/4 in 0.3, -4221, -1/10, -4, -0.4? 0.3 What is the nearest to 0.1 in -5, -4, 199/5? -4 What is the closest to -0.18 in -8, 1, 0.2, -2/13? -2/13 What is the nearest to 10/3 in 1, 782, -0.2? 1 Which is the closest to -1/72? (a) 1 (b) -1 (c) -8/9 (d) 4/25 (e) -5 d What is the nearest to -5 in -799, 0.2, 7/5, -5? -5 What is the closest to 156 in 17, 0.3, 4/5? 17 What is the nearest to -1 in -3.5, -0.5, -4/9, 0.1? -0.5 What is the closest to 0.2 in -2, -4/11, 169, -6? -4/11 What is the closest to 75 in -0.7, 134, 4? 134 What is the closest to 4/3 in 160/21, 0.3, 3/5? 3/5 What is the nearest to -0.2 in -1/3, 0.1, 5/2, 0.07? -1/3 Which is the closest to -3/14? (a) -1/3 (b) -4 (c) 1.3 (d) -3 a What is the nearest to 17 in 2, -467, -1, -0.2? 2 What is the nearest to -0.1 in -1, 0.5, -5, 4, 0.74? 0.5 Which is the closest to 240? (a) -25 (b) -4/5 (c) -1/7 c What is the nearest to 0.1 in -1/9, 4, -93/10, 0.5, 1? -1/9 What is the nearest to -2 in 3/4, 1, 12/31, 0.9? 12/31 What is the closest to -25 in -0.3, 347, 1, -3/2? -3/2 What is the closest to -2/9 in -5, -2/29, -0.1, -82/5? -0.1 Which is the closest to -46? (a) 2/505 (b) 4 (c) -0.3 c What is the nearest to -10 in -0.01, 0.9, -0.3, -36.8? -0.3 What is the nearest to 1 in 3/7, 11/13, 99, -7? 11/13 Which is the closest to -40369? (a) 0.4 (b) 1 (c) -0.3 (d) 4 c What is the nearest to 0.09 in 3, -5, -3, 0.008, -3/4? 0.008 What is the nearest to 2 in 5/8, -0.2, -0.85? 5/8 What is the closest to -7 in -1/8, -1.9, 0.5, -4? -4 Which is the nearest to 12? (a) -3.3 (b) -5 (c) 0.04 (d) -0.4 (e) 3 e Which is the nearest to 1.77? (a) -5 (b) -1/11 (c) -2/7 (d) -0.51 (e) -1 b Which is the closest to 29? (a) 2/13 (b) -2.61 (c) -0.3 (d) 5 d Which is the closest to -0.2? (a) 2 (b) 40 (c) -0.5 (d) -23 (e) 5 c What is the closest to 23 in 5, 16, -0.25? 16 What is the nearest to 3 in 4, 5, 350/13? 4 Which is the nearest to -1115? (a) 4 (b) 0.1 (c) -103 c What is the closest to -1 in -11, -0.05, 5, -19, -2? -0.05 Which is the closest to -24? (a) 2 (b) 37 (c) -5 (d) -2/19 c What is the closest to -3/2 in 1/2, -57/20, -0.4? -0.4 What is the closest to -0.6 in 1/247, -2, 4, -5? 1/247 Which is the closest to 1/2? (a) -97/3 (b) 2 (c) 0.5 (d) -1/2 c Which is the closest to -2/5? (a) -2 (b) 10/147 (c) -5 b What is the nearest to -0.1 in -3, 31, 5, -0.3? -0.3 What is the nearest to 52 in 2/13, 4/5, -9, -1/8? 4/5 Which is the closest to 2? (a) 45 (b) 4 (c) 5 (d) -4/7 b Which is the nearest to 1/2? (a) 1/17 (b) -1 (c) -8 (d) -176 a What is the nearest to -2 in -15/2, 1/13, 1/3, 1/2? 1/13 What is the nearest to 0 in -2, 7, 390/7? -2 What is the nearest to 0.3 in -0.3, 1/4, -2/5, -7739, -2/13? 1/4 Which is the nearest to -4/5? (a) 5 (b) 1 (c) -6 b Which is the closest to -2? (a) -16.8 (b) -4/71 (c) -0.2 c What is the closest to 1/9 in -395, -11, -4? -4 Which is the closest to -0.3? (a) -0.87 (b) -3 (c) 2/27 c Which is the nearest to 0? (a) -0.007 (b) -0.45 (c) 5 (d) 0.03 a Which is the nearest to 14? (a) -1 (b) -1/9 (c) -2.4 (d) -7 b Which is the nearest to -0.1? (a) 3/2 (b) -3.68 (c) -39 (d) -2/13 d Which is the nearest to -87? (a) -0.1 (b) 5 (c) -1073 a What is the closest to 2 in 4/9, -1, 1/6, -1.649, -1/7? 4/9 Which is the nearest to -0.064? (a) -2/25 (b) 1/4 (c) 8 a What is the closest to -0.1 in 4, 1.7, 823, 0.1, 1? 0.1 Which is the nearest to 0? (a) 1/6 (b) 4 (c) -20 (d) 2.482 a What is the nearest to -2 in 2, 2019, 11/3? 2 What is the nearest to -93 in -2/21, 2/11, 258? -2/21 Which is the nearest to 1/51? (a) -3 (b) -1/4 (c) 4 (d) 4/3 (e) 69 b Which is the nearest to -1? (a) 259 (b) 5 (c) 1.2 (d) 0.2 d What is the nearest to 1 in -10, -3/7, 39
{ "pile_set_name": "DM Mathematics" }
2 Let t = 5544 + -5542. Suppose -6*w = -3*i - 2*w + 44, 0 = -4*i - 4*w + 12. Find the third derivative of 23*p**4 - 12*p**t - 18*p**2 + i*p**2 - 3*p**2 wrt p. 552*p Suppose 7*m - 93 = -79. Find the second derivative of p**5 + 27*p + 19*p**2 + 13*p + 91*p**m - 12*p - 3 wrt p. 20*p**3 + 220 Let w(d) be the second derivative of 0*d**2 - 29*d + 0 + 43/3*d**3 + 35/6*d**4. Find the second derivative of w(j) wrt j. 140 Let g(a) = -1229*a**4 + 12*a**2 - 2*a - 105. Let t(x) = -2458*x**4 + 30*x**2 - 5*x - 209. Let o(i) = 5*g(i) - 2*t(i). Differentiate o(m) with respect to m. -4916*m**3 Let f = -367 - -372. Find the second derivative of -11 - 45*w**2 + f*w**3 + 43*w**2 + 0*w**3 - 3*w wrt w. 30*w - 4 Find the third derivative of 4174 + 11*x - 11*x - 4843*x**3 - 4179 + 5*x**2 wrt x. -29058 Let z(l) be the third derivative of -281*l**4/8 - 364*l**3 - 2133*l**2. What is the first derivative of z(a) wrt a? -843 Suppose -4*p + 4 + 12 = c, 5*c = -5*p + 5. Find the third derivative of 17*w**4 + 28*w**2 - 13*w**4 + 2*w**p - 4*w**2 - 6*w**5 wrt w. -240*w**2 + 96*w Let c(k) be the first derivative of 1687*k**3/3 - 32*k**2 - k - 658. Find the second derivative of c(t) wrt t. 3374 Let s(y) be the second derivative of -2285*y**3/6 - 396*y**2 - 2638*y. Find the first derivative of s(r) wrt r. -2285 Let i(z) = -z**2 + 19*z - 18. Let g be i(18). Let d be 2 - (g + -1)*755/5. What is the first derivative of 96 + 77 + 9*c**3 - d wrt c? 27*c**2 Let y = 276 - 273. Find the third derivative of -22300*s**3 + 0*s**2 + 68*s**2 + 22202*s**y wrt s. -588 Let d = 437 + -407. Find the second derivative of -4*q - 2*q**2 + d*q**5 - 4*q + 24294 - 24290 wrt q. 600*q**3 - 4 Let n(q) be the third derivative of -459*q**5/20 + 352*q**4/3 + 2*q**2 - 42*q. Find the second derivative of n(l) wrt l. -2754 Let a(w) be the first derivative of -7*w**7 + 3*w**5/5 - 4*w**4 + 2864*w**3/3 - w - 4138. What is the third derivative of a(m) wrt m? -5880*m**3 + 72*m - 96 Let p(y) be the first derivative of 0*y**3 - 87/5*y**5 - 86 + 0*y**4 + 62*y + 0*y**2. What is the first derivative of p(u) wrt u? -348*u**3 Find the first derivative of -281 - 222*d**2 - 1108 - 270*d**2 wrt d. -984*d Differentiate -1774 + 2263*h**3 + 452 - 776 wrt h. 6789*h**2 Suppose 0 = 30*c - 28*c - 90. Suppose 44*y + 4 = c*y. What is the derivative of -3*i**2 - 16 + 11*i**2 - 8*i**2 + 8*i**y wrt i? 32*i**3 Let v(z) = -z**3 + z**2 - 2*z - 3. Let c be v(0). Let x be (340/(-30))/(2/c). What is the third derivative of 10 - 5*w**3 + 22*w**2 + x - 27 wrt w? -30 Let s(i) be the first derivative of 865*i**3 - i**2/2 + 923*i + 1358. What is the second derivative of s(k) wrt k? 5190 Let c(t) = 1678*t**3 - 6*t**2 - 6*t + 2389. Let k(j) = 1677*j**3 - 7*j**2 - 7*j + 2378. Let w(p) = -7*c(p) + 6*k(p). What is the derivative of w(a) wrt a? -5052*a**2 Let s(y) be the second derivative of 177*y**4/4 - 251*y**3/3 + 711*y. What is the second derivative of s(w) wrt w? 1062 Let d(t) be the first derivative of t**5/5 - 17*t**4/2 + 817*t**3/3 + 1182. Find the third derivative of d(s) wrt s. 24*s - 204 What is the first derivative of 180*x**4 + 491*x**4 + 888 + 893 - 553 + 253*x**4 wrt x? 3696*x**3 Let w(j) be the third derivative of -1/24*j**6 + 0 - 29/24*j**4 - 1/30*j**5 + 1/6*j**3 - 59*j**2 + 0*j. What is the second derivative of w(p) wrt p? -30*p - 4 Let q(c) = 170*c - 51. Let j be q(9). What is the second derivative of 1432*s - 2852*s + j*s - 250*s**5 - 3 wrt s? -5000*s**3 Differentiate -10847*i**3 + 9087 - 10846*i**3 + 7898*i - 10842*i**3 + 32534*i**3 wrt i. -3*i**2 + 7898 Let z(q) be the first derivative of 112 + 0*q**6 - 1/7*q**7 + 0*q - 13/4*q**4 + 4/3*q**3 + 0*q**5 + 3/2*q**2. What is the third derivative of z(c) wrt c? -120*c**3 - 78 Let v(t) = -6*t**2 - t - 1. Let a(m) = 832*m**3 + 18*m**2 + 3*m + 597. Let x(j) = 2*a(j) + 6*v(j). What is the derivative of x(p) wrt p? 4992*p**2 Find the second derivative of -4 + 5 - 39*w - 6604*w**2 + 6766*w**2 wrt w. 324 Let s(k) be the first derivative of -96*k + 59 - 1/2*k**2 + 25/3*k**3. What is the second derivative of s(g) wrt g? 50 Find the first derivative of -24737*w**3 - 4095 + 24748*w**3 + 20*w**2 + 77*w**2 wrt w. 33*w**2 + 194*w Differentiate 1068*u + 1948 + 69 - 1141*u with respect to u. -73 Let v(i) be the first derivative of -1831*i**4/4 - 2*i**3/3 + 211*i + 631. Find the third derivative of v(d) wrt d. -10986 Let l = 1 + -4. Let q = l + 6. Find the third derivative of -18*u**2 + 11*u**q + 2*u**2 - 8*u**3 + 21*u**3 wrt u. 144 Suppose -18 + 6 = -3*a. Suppose -r - a = -12. Find the third derivative of -137*x**4 + 151*x**4 + r*x**2 + 3*x**2 wrt x. 336*x Let a(y) = -y**4 + y**2 - y + 3. Let h(r) = -1349*r**5 + 5*r**4 + 2014*r**2 + 5*r - 15. Let t(u) = -5*a(u) - h(u). Find the third derivative of t(z) wrt z. 80940*z**2 Let h(w) be the third derivative of 361*w**8/42 + 67*w**5/6 - w**4/8 + 265*w**2 - w. What is the third derivative of h(q) wrt q? 173280*q**2 Let a(d) = -d**2 + 2. Let u(x) = 1767*x**2 - 3*x + 160. Let r(n) = 18*a(n) - 2*u(n). What is the second derivative of r(l) wrt l? -7104 Let b(f) be the first derivative of -168*f - 98 + 81/2*f**2. Differentiate b(g) with respect to g. 81 Suppose 392*s - 377 = 363*s. Let m be (-2*1)/(-2) + 2. Differentiate -h**3 - h**m + s*h**3 + 35 - 28 with respect to h. 33*h**2 Let j(q) = q**3 + 4*q**2. Let d(m) = 4175*m**3 - 24*m**2 + 12163*m. Let p(a) = -d(a) - 6*j(a). What is the second derivative of p(f) wrt f? -25086*f Let v(d) be the first derivative of 0*d**3 + 0*d**2 - 81/5*d**5 - 44*d + 0*d**4 - 35. What is the derivative of v(f) wrt f? -324*f**3 Let b(q) = q**4 - q - 2. Let t(m) = -10*m**3 + 4 - 21*m - 104*m + 10*m**3 - 81*m**4 + 4. Let d(k) = -4*b(k) - t(k). What is the second derivative of d(i) wrt i? 924*i**2 Suppose 0 = -3*z + z + 444. Suppose -5*x = 152 - z. What is the third derivative of 9*i**4 - 3*i**2 + x*i**2 - 13*i**4 + 29*i**4 wrt i? 600*i Let x = -21617 + 21664. Let y(a) be the first derivative of 18*a + 0*a**3 + x + 0*a**4 - 11/5*a**5 + 0*a**2. What is the derivative of y(b) wrt b? -44*b**3 Differentiate -191 - 294*c**4 + 100 - 169 - 851*c**4 with respect to c. -4580*c**3 Let l(d) = 3*d**2 - d + 4. Let a(y) = -2740*y**2 + 5*y + 307. Let b(g) = a(g) + 3*l(g). Find the second derivative of b(c) wrt c. -5462 Let k(y) be the second derivative of 0 + 0*y**3 + 5/21*y**7 + 5/2*y**4 + 245*y + 0*y**5 + 0*y**2 + 2/15*y**6. What is the third derivative of k(l) wrt l? 600*l**2 + 96*l Let o be (-1)/3*(3 + -18). Find the third derivative of -15*p**5 + 26*p**o - 6*p**2 + 30*p**5 + 4*p**2 wrt p. 2460*p**2 Find the second derivative of -56*s**5 + 987*s + 50290*s**3 + 2*s**4 + 26*s**2 + 2 - 50290*s**3 wrt s. -1120*s**3 + 24*s**2 + 52 What is the third derivative of 3987*n**3 - 588*n**2 + 147*n**4 - 149*n**4 - 1 + 4*n**4 wrt n? 48*n + 23922 Find the third derivative of -316*r - 7885*r**2 - r**5 + 0*r**5 + 59*r**4 + 316*r - 46*r**4 wrt r. -60*r**2 + 312*r Let t(g) be the first derivative of 21/5*g**5 + 0*g + 225 + 1/3*g**6 - 17/3*g**3 + 0*g**2 + 0*g**4. What is the third derivative of t(m) wrt m? 120*m**2 + 504*m Find the first derivative of 2315*n + 43 - 365 - 1306*n - 1330*n wrt n. -321 Let r(y) be the third derivative of 0*y - 49*y**2 - 1/12*y**5 + 0 + 0*y**3 + 1/60*y**6 + 13/6*y**4. Find the second derivative of r(c) wrt c. 12*c - 10 Suppose -4 = -4*m + 2*s, -m - 6*s + 5*s = -7. Let g(w) be the first derivative of -m*w + 6*w**3 - 12 + 4*w + w. Differentiate g(u) wrt u. 36*u Suppose 13 - 1 = 2*b. Let p = -112 - -112. What is the third derivative of p*g**6 + 0*g**6 - 6*g**b + 3*g**6 + 3*g**2 wrt g? -360*g**3 Let r(d) be the second derivative of 0 + 4/3*d**3 + 15*d**2 - 54*d. What is the first derivative of r(p) wrt p? 8 Differentiate -1769*v - 383*v - 327 - 433 - 268 wrt v. -2152 Suppose 9 = 3*u + f + 4*f, 4*u - 12 = -5*f. What is the third derivative of -21326*w + 21326*w + w**2 - 68*w**u - 9 wrt w? -408 Let x(d) = -46*d**2 - 65*d - 1112. Let r(v) = 2*v**2 - 4*v - 9. Let q(g) = r(g) - x(g). What is the first derivative of q(a) wrt a? 96*a + 61 Let v be (2/4)/(4/(1112/1)). Suppose f - v = -s + 306, -f - 3*s + 439 = 0. Find the first derivative of -490*m + f*m - 67 + m**2 + 16 wrt m. 2*m - 42 Suppose -u - 24 = -3*w, 3*u - 85 + 132 = 4*w. Let f(j) be the third
{ "pile_set_name": "DM Mathematics" }
of 2*u**5 - b*u**5 + 2*u + 2*u**s wrt u? 20*u**3 Let q(i) be the third derivative of i**9/168 - i**5/15 + i**2. Find the third derivative of q(o) wrt o. 360*o**3 Let i(k) = 2*k**3 + k**2 - 3*k - 1. Let b(v) = v**3 + v**2 + v - 1. Let r(t) = -2*b(t) + 2*i(t). What is the second derivative of r(s) wrt s? 12*s Let r(c) be the first derivative of -5*c**6/6 + 21*c**2/2 + 12. What is the second derivative of r(v) wrt v? -100*v**3 Suppose 2*b - 25 = -b - 4*y, -2*y + 8 = 0. Find the second derivative of -w - 3*w**5 - 3*w**5 + b*w - 9*w wrt w. -120*w**3 Let j(i) = 31*i**2 - 20*i + 11. Let r(n) = 8*n**2 - 5*n + 3. Let s(w) = -6*j(w) + 22*r(w). Find the second derivative of s(m) wrt m. -20 Let x(a) be the second derivative of -3*a**5/5 + 23*a**3/6 + 31*a. Find the second derivative of x(z) wrt z. -72*z Let x(m) = 4*m**3 - 7*m - 5. Let l(y) = -y - 1. Suppose -a + 8 = 3*a. Let z(s) = a*x(s) - 10*l(s). Find the second derivative of z(p) wrt p. 48*p Let n(d) = 5*d**2 - d - 1. Let a be n(-1). Suppose -7 = -a*q + 3. Find the third derivative of -3*o**2 - 3*o**5 + 0*o - o**q + 0*o wrt o. -180*o**2 Let h(a) = 2*a + 1. Let v be h(2). Suppose -v*g + 10 = -10. Find the first derivative of 2 + 0*s**4 + 0 - s**g wrt s. -4*s**3 Suppose 0 = 3*z - 2*z. Differentiate -5 - 2*o - o + 2*o + z*o with respect to o. -1 Let h be (-6)/21 + (-4)/(-14). Suppose 0*d + 4*d - 12 = h. Find the second derivative of -d*p**5 + 4*p**2 - 4*p**2 - 13*p + 12*p wrt p. -60*p**3 Let t = 12 + -32. Let u be 4/(-18) + t/(-9). What is the second derivative of -o + o + 2*o + u*o**2 wrt o? 4 Suppose 2*y = -m - 4*m, -4*m = 0. What is the second derivative of 0*r + r - 3*r**2 + y*r wrt r? -6 Suppose 2 = -2*m + 6. Let q(t) be the third derivative of -1/12*t**4 + 0*t - 1/30*t**5 + 0 + 0*t**3 - 2*t**m. Find the second derivative of q(j) wrt j. -4 Let x = 8 - 6. Differentiate 2 - 3 - x + 3*s**4 wrt s. 12*s**3 Let w(k) = k + 1. Let b be w(3). What is the first derivative of 17*y**2 - 4 - 2*y**b - 17*y**2 wrt y? -8*y**3 Let r be (4/2)/(-1)*1. Let w = r - -6. What is the derivative of 0 - w + 1 - z wrt z? -1 Let j(p) = 4*p**2 + 3*p + 2. Let a(t) = 20*t**2 + 16*t + 11. Let y(g) = 4*a(g) - 22*j(g). What is the second derivative of y(o) wrt o? -16 Let z(c) be the third derivative of -c**7/2520 + c**5/24 - c**4/24 - 5*c**2. Let n(v) be the second derivative of z(v). Find the first derivative of n(d) wrt d. -2*d What is the third derivative of -26*l**2 + 7*l**6 - 47*l**2 + 0*l**6 + 58*l**2 wrt l? 840*l**3 Suppose 0 = -3*o + 7 + 2. Let i(l) be the third derivative of 2*l**2 + 0*l + 0*l**4 + 0 - 1/6*l**o + 1/20*l**5. What is the first derivative of i(s) wrt s? 6*s Suppose 2*r = -3*x + x + 20, 4*x - r = 15. Find the second derivative of -m + 6 - 6 + 2*m**x wrt m. 40*m**3 Let b = 12 - 0. Find the second derivative of 4*p - 2*p**4 - p**4 - b*p + 2*p wrt p. -36*p**2 Let s(a) = -24*a**2 - 5*a + 12. Let d(p) = 24*p**2 + 6*p - 11. Let h(k) = 5*d(k) + 6*s(k). Differentiate h(x) with respect to x. -48*x Let k(z) = -2*z**2 - 2*z + 1. Let p be k(1). Let x be p/(-2 - (-1)/2). Find the second derivative of x*w**2 + 2 - 2 - 2*w wrt w. 4 Let g(w) = 3*w + 5. Let y(n) = -n**4 - 5*n - 9. Let j(o) = -o**2 + 10*o + 16. Let k be j(11). Let c(s) = k*g(s) + 3*y(s). Differentiate c(u) wrt u. -12*u**3 Let o be (-7)/21 + (-49)/(-3). Suppose -4*x + 2 - o = -2*q, -3*q + 11 = -x. Find the first derivative of 2*f**4 - q*f**4 + 0*f**4 - 2 wrt f. -4*f**3 Let d(f) = -15*f**3 + 2*f**2 + 12*f - 2. Let r(l) = 74*l**3 - 11*l**2 - 60*l + 11. Let o(g) = -11*d(g) - 2*r(g). Find the second derivative of o(t) wrt t. 102*t Differentiate 8*h**4 - 1 - 2*h**4 + 12 wrt h. 24*h**3 Let i(a) be the third derivative of -a**5/60 - a**4/6 - 2*a**2. Let t be i(-3). What is the third derivative of 3*d**6 - 3*d + t*d**2 + 3*d wrt d? 360*d**3 Let d(l) = -26*l**4 + 11*l**2 + 11*l + 9. Let k(s) = 5*s**4 - 2*s**2 - 2*s - 2. Let v(u) = 2*d(u) + 11*k(u). Differentiate v(j) wrt j. 12*j**3 Let i(b) be the third derivative of b**6/24 - 7*b**3/6 + 6*b**2. What is the first derivative of i(t) wrt t? 15*t**2 Suppose -2*o = -6*o + 36. Suppose -4*g = -z + o - 21, -5*z - 10 = 5*g. Find the second derivative of 2*k**3 + 3*k + g*k**3 - 4*k**3 - 3*k**4 wrt k. -36*k**2 Let o(z) be the first derivative of z**8/840 - z**5/24 + z**3 + 4. Let v(f) be the third derivative of o(f). Find the second derivative of v(p) wrt p. 24*p**2 Let q(f) = 2*f**4 - 3*f**4 + 3*f**2 - 2 - 2 + 8. Let y(u) = -10 - 7*u**2 + 1 - 2*u**4 + 4*u**4. Let z(h) = 7*q(h) + 3*y(h). Differentiate z(c) wrt c. -4*c**3 Let n = 158 + -158. Let c(h) be the second derivative of -1/2*h**3 + 0*h**2 - h + n + 0*h**4 - 1/30*h**6 + 0*h**5. Find the second derivative of c(b) wrt b. -12*b**2 What is the first derivative of 3 + 0*d**3 + 8 - 5*d**3 - 4 wrt d? -15*d**2 Let k(q) be the first derivative of 29*q**5/5 - 7*q**3/3 - 4. Find the third derivative of k(o) wrt o. 696*o Let j(p) be the third derivative of -4*p**7/35 - 7*p**5/20 + 19*p**2. What is the third derivative of j(t) wrt t? -576*t Let p(z) = 48*z + 16. Let t(s) = 1. Let v(l) = -p(l) - 6*t(l). Differentiate v(m) with respect to m. -48 Find the second derivative of -16*z + 10*z**5 + 9*z - 6*z wrt z. 200*z**3 Let w(t) be the first derivative of 10*t**3/3 + 8*t**2 + 2. What is the second derivative of w(y) wrt y? 20 What is the first derivative of -5*o**3 - 4*o**3 + 13*o**3 - 3 wrt o? 12*o**2 Let x(q) = q**2 + q. Let d be x(-2). Find the second derivative of -p**2 + 2*p**3 + 4*p**2 - p - 3*p**d wrt p. 12*p Find the second derivative of -1309 - 13*y - 32*y**5 + 1309 wrt y. -640*y**3 Suppose -2*q + 0*q + 6 = 0. What is the second derivative of 2*y**2 + 2*y + 4*y**q - 3*y**2 + y**2 wrt y? 24*y Let f(j) be the second derivative of j**6/30 - 9*j**2/2 - 3*j. Differentiate f(w) wrt w. 4*w**3 Let q(h) be the first derivative of 2*h**4 - 3*h + 1. What is the first derivative of q(l) wrt l? 24*l**2 Suppose 4*g = g + 6. What is the derivative of -2*u - 1 + g + u wrt u? -1 Find the second derivative of 26*m**2 - 2*m**3 - 42*m + 13*m - 5*m + m wrt m. -12*m + 52 Suppose 4 + 8 = 6*b. Let m(g) be the first derivative of 2/3*g**3 + b*g - 1 + 0*g**2. Differentiate m(x) wrt x. 4*x Let g(t) = -t - 8. Let q(n) = n + 4. Let p = 16 - 23. Let a(v) = p*q(v) - 4*g(v). Differentiate a(w) with respect to w. -3 What is the derivative of -19 - 12*b**2 + 0 + 32*b**2 + 55 wrt b? 40*b Let j(f) be the third derivative of -f**9/9 - 7*f**5/15 + 36*f**2. Find the third derivative of j(n) wrt n. -6720*n**3 Let a(o) be the second derivative of o**6/60 - o**5/30 + o**2/2 - o. Let l(p) be the first derivative of a(p). What is the third derivative of l(y) wrt y? 12 Suppose -2*v + 3*s = -18, -3*v + 5 = -0*v + s. Find the second derivative of -7*t**5 + v*t + 2*t + 2*t wrt t. -140*t**3 Let l(v) be the third derivative of -5*v**8/42 + v**5/4 + 26*v**2. Find the third derivative of l(g) wrt g. -2400*g**2 Let l be 9/(-4)*(-16)/(-6). Let h be 13/5 - l/15. Find the second derivative of -2*c - 3*c**3 + 0*c + c**h wrt c. -12*c Let n be (-3)/12 - (-243)/12. Find the third derivative of -20*o**4 + n*o**4 + o**2 - 6*o**5 wrt o. -360*o**2 Let f(i) be the second derivative of 5*i**4/12 + 16*i**2 + 26*i + 2. Differentiate f(k) wrt k. 10*k Suppose q - 5 = -0. Let d be (-20)/(-6)*(-6)/(-5). Find the third derivative of -d*u**5 + u**2 + 5*u**q + u**2 wrt u. 60*u**2 Let r(d) be the first derivative of 3*d**4/4 - 15*d + 6. Differentiate r(w) wrt w. 9*w**2 Differentiate -61*c**3 + 72*c**3 + 2 - 4 wrt c. 33*c**2 Let q(s) be the first derivative of -s**5/5 + 2*s**3/3 + s - 4. Let r(x) be the first derivative of q(x). What is the second derivative of r(k) wrt k? -24*k Let c(t) be the second derivative of 7*t**4/12 + 3*t**2/2 + 2*t. What is the first derivative of c(m) wrt m? 14*m Differentiate 365*g + 374*g - 695*g - 5 wrt g. 44 Let v(w) = -19*w**3 + 17. Let h(a) = -153*a**3 + 136. Let t(s) = -2*h(s) + 17*v(s). Differentiate t(g) wrt g. -51*g**2 Let u(r) = r**3 - 7*r**2 + r - 5. Let n be u(7). Suppose s - 3*o + n = -o, -3*s + 4 = 4*o. Differentiate s*k**3 + 1 + 2 + k**3 + k**3 wrt k. 6*k**2 Let p(a) = a**4 - a**2 - a. Let h(f) = -f**4 - f**2 - f + 2. Let u = -13 - -11. Let q(x) = u*p(x) + 2*h(x). Find the first derivative of q(l) wrt l. -16*l
{ "pile_set_name": "DM Mathematics" }
and give z. -2178 Rearrange 2*b**2 + 6*b**4 - b + 2 + 1 - 7*b**4 to the form l*b**4 + w + x*b**3 + i*b**2 + c*b and give i. 2 Rearrange 4*a**3 + 0*a**2 - 43*a**4 + 3*a**2 - a**2 - 2*a**3 to q*a**3 + l*a**2 + j*a + p*a**4 + c and give j. 0 Rearrange (16 + 9*w - 16)*(162*w - 331*w + 77*w)*(-5*w**2 + 3*w**2 - w**2) to the form s*w**3 + v*w**2 + i*w**4 + h + p*w and give i. 2484 Express (5606 + 4973 - 1061 + 5285 + 2992)*(l + 3 - 3) as a*l + s and give a. 17795 Rearrange 4*q + 2*q + 6*q + (0*q + 5*q + 0*q)*(-1 + 0 + 0) - 4 + 4 + 3*q to the form v*q + i and give v. 10 Express ((-k - 2*k + 2*k)*(k**2 - 3*k**2 + 3*k**2) - k**3 - 2*k**3 + k**3)*(23 - 34 - 75) in the form j*k**3 + d*k**2 + u + x*k and give j. 258 Rearrange 17*d**2 + 3*d**4 + 37*d + 12*d**2 - 1 + 11*d**2 - 19*d - 19*d to g + w*d**3 + b*d**2 + n*d**4 + z*d and give n. 3 Express 3*p**4 + 1075*p**3 + p**2 - p**2 + p - 2 - 1086*p**3 - 2*p**2 as c*p + x*p**2 + k*p**3 + y + n*p**4 and give x. -2 Rearrange -16 - 19*h - 11 - 20 + 52 to the form o*h + m and give m. 5 Express 0*h**3 + 21 - 33*h - 2*h**3 + 28 - 50 as d*h + w*h**3 + z*h**2 + b and give z. 0 Rearrange 73 - 3*l**2 + 89 - 48 + 54 to j + a*l + h*l**2 and give h. -3 Rearrange -4*b + 394*b**4 + b - 395*b**4 - 30 + 11 - b**3 to the form u*b**2 + q*b**4 + s*b**3 + t + r*b and give t. -19 Rearrange 11 - 12 + 20*n**2 + 12 - 10 to the form q + f*n + x*n**2 and give q. 1 Rearrange (p - 6*p - 6*p)*(2*p - 6*p + 3*p) + 48*p - 48*p - 17*p**2 to a + t*p + d*p**2 and give d. -6 Express 1401*h - 246 + 143*h + 41*h + 246 as t*h + z and give t. 1585 Express (-312 - 282 + 214 - 273)*(w**3 + 6 - 6) as a*w + v*w**3 + z*w**2 + y and give v. -653 Express -24*c - 11*c + 29 - 2*c**2 + 45*c in the form x*c + v*c**2 + n and give v. -2 Express ((3 - 5 + 0)*(-4*i + 4*i - 2*i) + 0*i - 4*i + 5*i)*(-4 + 0*i**2 + 5*i**2 + 6) as l*i + p + t*i**2 + z*i**3 and give z. 25 Express 1788*d + 1963*d - 597*d + (d - 4*d + 5*d)*(-2 + 0 + 0) as y + n*d and give n. 3150 Express -243*o**2 + 1 + o**3 + 245*o**2 - o + 7*o**3 + o**4 - 15*o**3 as i + g*o + x*o**4 + l*o**3 + m*o**2 and give x. 1 Express -111*m**2 + 36*m**2 - m**4 + 29*m**2 + 45*m**2 - 527 + 1667 in the form a*m**4 + k + j*m**2 + z*m + t*m**3 and give k. 1140 Express -19*x - 2*x**3 + 41*x + 4*x**3 + 2*x**2 - x**4 + 1 as b*x**3 + f*x**2 + y + j*x + k*x**4 and give y. 1 Rearrange 5 - 4*v - 5 - 2 - 8*v + 2 + (2 - 2 + 2)*(2*v + 0*v + 0*v) + 153 + 11*v - 153 to m*v + t and give m. 3 Express (-z + 0*z + 0*z)*(-26*z**2 + 233 - 233) + (z**2 - 2*z**2 + 0*z**2)*(-z - 2*z + 0*z) in the form v*z + a*z**3 + k*z**2 + q and give a. 29 Express -51*y - 2 - 54*y + 104*y + 1 as t + z*y and give z. -1 Rearrange -8*b + 21 - 21 + 0*b - 4*b - b + (3 - 4 + 3)*(-4*b - 2*b + 5*b) to u + s*b and give s. -15 Express -7854*y**3 + 7856*y**3 + 2*y**2 - 2 + 8*y - 3*y**2 as z + j*y**3 + c*y**2 + u*y and give j. 2 Rearrange (0 - 2 + 1)*(-4*x + 3*x + 2*x) + 474*x - 1229*x - 3553*x to the form n + l*x and give l. -4309 Express 951*n**2 + 37*n - 37*n + 1941*n**2 in the form h*n + w*n**2 + z and give w. 2892 Rearrange (32*n**2 - 87*n - 3*n - 18*n**2)*(1 - 1 + n) to the form t*n**3 + c*n**2 + z*n + l and give c. -90 Express 3*s**2 - 2*s**2 + 2 + 218*s - 2 + 150*s as f + m*s**2 + n*s and give n. 368 Rearrange (1 - 1 - 25*j**4)*(19 - 21 - 24) to m*j**3 + o + t*j**4 + l*j**2 + g*j and give t. 650 Express -35*k + 151*k**2 + 2 + 24*k + 11*k + 1 in the form b*k**2 + m + c*k and give b. 151 Rearrange (b**2 - 2*b**2 - 2*b**2)*(-1 + 2367*b - 4723*b + 2359*b - 43*b**2) to m + f*b**4 + x*b**3 + h*b + k*b**2 and give h. 0 Rearrange -157*o**2 + 2*o**3 + 157*o**2 + 32*o to the form w*o**3 + z*o**2 + s*o + d and give s. 32 Rearrange -94 - 9*q + 94 - 2*q - 1 + 1 + (0 - 2 + 1)*(-q - 4 + 4) + 3*q - 5*q + 4*q + 2 - 2*q - 2 to d + y*q and give y. -10 Rearrange 108*z**2 - 8*z**3 - 29 - 24*z**2 + 2*z - 23*z**2 - 61*z**2 to the form f + w*z**3 + t*z**2 + d*z and give w. -8 Express 37264*v**2 + v + 3*v**3 - 37227*v**2 - 4*v**3 as p + y*v**2 + g*v**3 + n*v and give g. -1 Rearrange -6 - 10*p**2 + 28*p**3 + 5*p**2 + 2*p + 3 + p**2 to z*p**3 + x + f*p + t*p**2 and give f. 2 Express -112*o**2 + 3*o**3 - 115*o**2 + 228*o**2 - 102 in the form t + x*o**2 + h*o**3 + p*o and give t. -102 Rearrange (6*g + 2*g - 7*g)*(14 - 18 - 23) to m + l*g and give l. -27 Express -5*y**2 + 4*y**2 + 3*y**2 - 2 + 5 as p*y**2 + q*y + l and give p. 2 Rearrange 0*f**3 + 1408 - f**3 - 1483 + 4*f**2 to m*f**2 + b*f**3 + p*f + d and give d. -75 Rearrange (35*p + 7*p + 16*p)*(25 + 8 - 11) to the form l*p + c and give l. 1276 Express (-2*j + 5*j + j)*(-j + j + j) + (8 - 5 + 8)*(-3*j**2 - 3*j**2 + 3*j**2) in the form i*j**2 + x + p*j and give i. -29 Rearrange -1940*o**2 - 142*o**2 - 506*o**2 to s*o**2 + g + d*o and give d. 0 Express -2*c**2 - 2 - 12*c**3 + 2*c**2 + 9*c - 34*c**3 + 11*c**3 in the form d*c**3 + x + g*c**2 + v*c and give v. 9 Rearrange (-2 + 1 - 1)*(-16 + 2 + 55*c + 12) to the form d*c + g and give d. -110 Rearrange (4 - 86 - 49)*(0*v + v - 2*v)*(3 + 0 - 1)*(-1 + 6 - 2) to the form t*v + d and give t. 786 Express (-3*v - 2*v + 6*v)*(-1 - 1 + 5)*(3 + 8 - 2) in the form o*v + n and give o. 27 Rearrange 68*q**2 + 117*q**2 - 52*q**2 to z + l*q + w*q**2 and give w. 133 Rearrange (-1 + 5 - 2 + (0 + 1 + 1)*(4 - 2 - 3) + 5 - 1 - 2 + 0 + 0 + 2)*(-33*a + 1 + 55*a**2 + 33*a) to v*a**2 + r*a + u and give v. 220 Express -s**2 - s**4 - 9*s**4 - 14 + 2*s**4 + 2*s + 12*s**4 in the form y*s**4 + x*s**3 + h*s**2 + w*s + k and give w. 2 Express (-2*s**2 + 4 - 4)*(7*s**2 + 37*s - 24*s**2 + 2 - 23*s) as h*s**4 + v*s**3 + d*s + i + y*s**2 and give h. 34 Express (-1 - 1 + 4)*(-v - 2*v + v) + 329*v - 45*v - 73*v + v + 2 - 2 + (-4 - 1 + 3)*(v + 0 + 0) in the form s*v + x and give s. 206 Rearrange (b**3 + 2*b**3 - 4*b**3)*(11*b - 156*b - b) to h + w*b**4 + p*b**3 + g*b + l*b**2 and give w. 146 Rearrange (-2*h + 5*h + 2*h)*(3*h + 3*h - 4*h) + 468*h**2 + 4*h - 3*h - 2 - 422*h**2 to s*h**2 + r*h + g and give r. 1 Rearrange 44*l - 2*l**3 - l**4 - 56*l + 13*l + 242*l**2 to d*l**3 + i*l + a*l**2 + w*l**4 + u and give i. 1 Rearrange 2*o - 2*o**3 + o**2 - 3*o**2 + o**2 - 17*o**2 + o**3 to the form m*o + k + p*o**2 + h*o**3 and give p. -18 Rearrange 1 - 6*n - n - 20*n - 32*n**2 - 2*n**3 + 29*n**2 to a*n**3 + y*n + q + s*n**2 and give q. 1 Rearrange (2*i**4 + 1 - 1)*(0 + 3 + 3)*(32 - 15 - 23) to the form v*i**3 + b + a*i + k*i**4 + q*i**2 and give v. 0 Express 3*j**2 - 2 + 3*j - 621*j**3 + 627*j**3 - 4*j**2 - 6*j - j**4 in the form g + p*j**2 + r*j**3 + v*j + z*j**4 and give g. -2 Rearrange -11*w**4 - w + 2*w + 22*w**3 + 2*w**2 + 1 + 9*w**4 to c*w**4 + f*w**3 + d*w**2 + y*w + a and give c. -2 Express -2*z + 10 - 31 + 48 - z**2 in the form k + j*z**2 + m*z and give k. 27 Express (3 + 0 + 4)*(-6*d**3 + 17*d**3 - 50*d**3) in the form u + i*d + f*d**2 + m*d**3 and give m. -273 Rearrange (g**2 - 1 + 1)*(-1 + 1 - 1) + (-g - g + 5*g)*(-94*g - 48*g - 164*g) to the form v*g + u*g**2 + y and give u. -919 Express 39*s**3 - 5*s**2 + 0*s - 3*s + 5*s**2 - 99*s**3 in the form u*s + f*s**2 + j*s**3 + i and give j. -60 Rearrange (-6*a**2 + 28 - 28)*(0*a + 2*a + 3*a) + (0 - 3*a + 0)*(2*a**2 - 3*a**2 + 2*a**2) to z + j*a**2 + m*a + u*a**3 and give u. -33 Rearrange 5 - y**2 - 4 + 1 + (15*y - 39*y - 5*y)*(-3*y + y + 0*y) to q*y**2 + n*y + v and give v. 2 Express -5 + 6 + 83*g - 4 - 2 + 2 in the form k*g + x and give x. -3 Rearrange -3*u - u - u + (4*u + 2*u - 3*u)*(33 - 11 + 18) to the form z*u + f and give z. 115 Express 13*k + 2*k - 5*k + 2*k + 11 - 4*k as i + j*k and give j. 8 Rearrange (14 - 7 + 26 - 2 + 0 + 0 + (-1 + 2 - 2)*(0 - 4 + 3))*(-z + 2*z + z) to x*z + t and give x. 64 Express -58*w**2 - 275*w + 134*w - 54*w**2 + 143*w as b + j*w**2 + a*w and give j. -112 Rearrange 7*w**2 - 62*w**3 + 65*w**3 - 10*w**2 + 49*w**2 to i + d*w + b*w**2 + a*w**3 and give d. 0 Rearrange (l + 0*l + l)*(1 - 3 + 1) - 3 + 30 - 8 + 5*l to g + i*l and give i. 3 Express -4*y**2 - 2680*y**4 + 2681*y**4 + 2 - 14*y - 5*y in the form c*y + k*y**2 + n*y**3 + a + w*y**4 and give a. 2 Rearrange (4*n - 6*n + 6*n)*(-2*n + 0 + 0) + n**2 + 0*n**2 + 0*n**2 + 6*n**2 + 0*n**2 + 8*n**2 to s*n**2 + g + u*n and give s. 7 Express 40*p - 19*p - 9*p - 63 - 10*p as x*p + v and give v. -63 Exp
{ "pile_set_name": "DM Mathematics" }
- q/(-846))/(16/18). 752 Suppose -3*u = -2*j - 100, -3*u + 13*j + 92 = 15*j. Suppose 0 = 13*g + 49 - 621. What is the least common multiple of g and u? 352 Let i = 7311161969/4720 - 1548975. Find the common denominator of i and 163/3540. 14160 Let c = -11248 + 11264. What is the lowest common multiple of c and 1440? 1440 Let z = 16369/7248 - -134/151. Find the common denominator of z and (2886/360 + -8)*(-260)/24. 144 Suppose -l - 4 + 2 = y, 0 = -5*l - 3*y. Let u(g) = -258*g**2 + 520*g**2 + 2*g**3 - 2 - 3*g - 258*g**2 - g**3. Calculate the least common multiple of u(l) and 9. 468 Let j(n) = -3*n + 31. Suppose 10*x = 2*x + 72. Let h be j(x). Suppose 53 = 5*m + h*y, 2*m + 3*m = 2*y + 41. Calculate the smallest common multiple of m and 5. 45 Let d be 268/52 - 5 - (-204)/26. Suppose 24 = d*a - 12*a. Calculate the least common multiple of 22 and 8/a*(-9 - 6). 220 Let c be (5653/(-318))/((-2)/32764*-2). Let b = 145609 + c. What is the common denominator of b and -149/30? 1590 Let r(s) = -23*s - 8. Let a = 17828 - 17826. What is the lowest common multiple of r(-6) and a? 130 Suppose 595*s - 947184 = -341418 + 288519. What is the smallest common multiple of 1503 and s? 1503 Find the common denominator of 3 - 70715/(-14155) - 8 and -29. 2831 Suppose 5*w = -4*k + 90 + 37, w = -k + 25. Let p = w - 4. Suppose -4*g - g - 65 = -4*m, 55 = 4*m - 3*g. What is the smallest common multiple of m and p? 230 Calculate the common denominator of 3/2*(68/1496)/((-6)/52) and 71/13420. 13420 Let u = 589 + -32983/56. Calculate the common denominator of u and 88*310/1519 + -19. 392 Let h(n) = -2*n**3 - 53*n**2 - 46*n - 118. Calculate the least common multiple of 2211 and h(-26). 4422 Let g = -22/455 + 99256/2071615. Let z = g - 159259/218544. What is the common denominator of -139/12 and z? 48 Let a be 4 + 12840/(-28) + (-6)/14. What is the common denominator of (-7)/(392/a) + 0 and 91/18? 72 Let a = -7863 - -7871. What is the lowest common multiple of 1638 and a? 6552 Let n = -29 - -25. Let a = 5623/632 + -7/316. What is the common denominator of 316/(-64) - -2 - n and a? 16 Suppose 36*t + 6352 = 482*t - 49*t. Calculate the smallest common multiple of 584 and t. 1168 Let u be 12/(-66) + 1927/11. Suppose 3*g - 55 = -u. Let x = 19193/6903 + -2/767. Calculate the common denominator of x and g. 9 Let s = 81669/2 + -40005. Suppose -4*l + 4*f = 605 + 2875, 0 = l - 2*f + 866. Let x = l + s. Calculate the common denominator of 107/22 and x. 22 Find the common denominator of -6 + (-245)/35 + (-1186)/(-120) and (1*2)/((-5)/2). 60 Suppose 3*b = 14*t - 11*t - 345, -t + 135 = 3*b. Calculate the smallest common multiple of 36 and t. 360 Let q = -627 - -1229. Let u be (-4)/(-14) - 1306/q. Let y = -4121/430 - u. Calculate the common denominator of -13/8 and y. 40 Let t(j) be the first derivative of -j**3/6 + 4*j**2 + 18*j - 1. Let o(w) be the first derivative of t(w). What is the least common multiple of o(-12) and 4? 20 Let x = -91495 - -15096743/165. Calculate the common denominator of x and -4*12/48 + (-517)/(-847). 1155 Let q be -186*7/((-28)/(-10)). Calculate the common denominator of (-341)/q - (-14)/(-2) and -25/9. 45 Let c be (2/6)/((-8486)/12). Let b be (97655/(-50916))/(2*(-11)/8). Let g = c + b. What is the common denominator of 139/30 and g? 330 Let z = 204/397 + -76869/161182. What is the common denominator of z and 73/10? 2030 Suppose 3*d - 4*d = -4, z = -5*d + 32. Suppose 4*i = -3*t + 34, z - 2 = -2*i. Suppose 645*p - 634*p = 220. What is the lowest common multiple of t and p? 180 Suppose -215 + 174 = -r. Suppose -r*c - 70 = -46*c. Calculate the least common multiple of 4 and c. 28 Suppose -4*d = 5*r - 11, -270*d = -271*d - 4*r. Let l be 1/(((-3)/3)/2). Let o = 4 - l. Calculate the smallest common multiple of d and o. 12 Find the common denominator of 47/150 and ((-48)/(-1404))/(30/(-414)). 1950 Let d be 23/(-15)*54/2. Let i = d - -5003/120. Calculate the common denominator of i and (-90)/120 + (2 - 20/(-25)). 120 Let z = 3075 + -2883. What is the lowest common multiple of 432 and z? 1728 Let f(i) = 32*i + 6. Let p be f(3). Let x = -39 + p. Let r = 69 - x. Calculate the lowest common multiple of r and 24. 24 Suppose 43 = -13*y + 1733. Calculate the lowest common multiple of y and 650. 650 What is the common denominator of -77/186 and -5 + ((-1171776)/(-6660))/34? 34410 Let p = -3883636744/38335 - -4152114/41. Let x = -634/17 - p. Calculate the common denominator of 22/5 and x. 55 Let c(h) be the second derivative of h**4/12 - h**3/6 - 45*h**2/2 + 2*h - 34. Calculate the smallest common multiple of 195 and c(-7). 2145 Let m = 135 + -133. Suppose 4*r - 4 + 24 = 2*z, 0 = -m*r + 10. Let n = -10 + 17. Calculate the least common multiple of z and n. 140 Let s be 56/(-824)*(-12)/(4/(-2)). Let i = s - -10075/206. Find the common denominator of i and -17/58. 58 Let f = -2455/13 + 1160617/6149. Let v = 2/312987863 + -14158631971775/2072605628786. Let o = f + v. Calculate the common denominator of 85/22 and o. 154 Let u = 332 + -57. Suppose u*n = 277*n - 16. Suppose 2*p - 13 = 4*c - 5*c, -5*c - 7 = p. Calculate the lowest common multiple of p and n. 8 Let c be 9990/14*3/6. Let l = -354 + c. What is the common denominator of ((-615)/220)/(12/8) and l? 154 Let k = -10206 - -500067/49. Calculate the common denominator of k and -83/357. 2499 Let v = -17/2613 + 119989/13221780. Calculate the common denominator of -155/84 and v. 106260 Let m = 543662761/700 - 3883219/5. Let f = 243/14 - m. Find the common denominator of -71/40 and f. 200 Let a = 10052 - 9989. What is the least common multiple of a and 315? 315 Let y(w) = 349*w + 45. Let s be y(1). Suppose -14*d - 2 = -s. Suppose 3*z = z + 8. Calculate the smallest common multiple of z and d. 28 Suppose -3*u - c = -29, 4 = 4*c - 16. Suppose u*f - 94 = -38. Suppose 3*d = 11 + 10. What is the smallest common multiple of d and f? 7 Suppose -3*h + 3*p = -1566, -4*h + 2627 = -5*p + 537. What is the least common multiple of h and 260? 520 Let i = 3/17794 + -462851/1227786. Calculate the common denominator of i and -41/1656. 1656 Let s = -9255 - -129501/14. What is the common denominator of s and -91/774? 5418 Let t be 3 - (1 + 0)*(-31 + -82). Suppose -208 = -9*h + t. Calculate the smallest common multiple of h and 36. 36 Suppose -g + 3*a = -6*g - 13, -4*g = 5*a. What is the common denominator of (-10 - g) + 1 + 107/4 and (7/(-196))/(54/2877)? 72 Calculate the common denominator of 2/(-24)*(-15 + (-1348)/(-74)) and -29/8. 888 Let f(m) = 4*m. Let v be f(2). Suppose 19*n = 20*n + v. Calculate the smallest common multiple of 27 and (-20)/n*6*1. 135 Suppose -43*x = -19484 + 478. Calculate the lowest common multiple of x and 17. 442 Let o(d) = 8 + 6*d + 1 + 18 - 3*d. Let n be o(-19). Calculate the least common multiple of 10 and 46/3 - 20/n. 80 What is the common denominator of 81/1000 and 60/(-36) + 8 + (-4648)/800? 3000 Let l(m) = -m**3 - 12*m**2 - 5*m - 58. What is the smallest common multiple of 307 and l(-12)? 614 Let x be (-345634)/64600 + 1/2. Let h = x - -3/8075. What is the common denominator of h and 35*18/216 - (-2 + 3)? 60 Let y(k) = -k**3 + 4*k**2 + k - 4. Let m be y(4). Calculate the common denominator of (m - 39)*(-1 + (-26)/(-27)) and -17/6. 18 Let u be ((-12)/(-18))/(-2 - (-2238)/1116). Let g = u - 119. Calculate the lowest common multiple of 9 and g. 45 Suppose -4*d - 102214 = -33822. Let l = d + 564163/33. Calculate the common denominator of -133/60 and l. 660 Let s = 10421851784183/544181586 - 1/20930061. Let j = -60302 - -41153. Let a = j + s. Find the common denominator of 25/16 and a. 208 Let z be 1*(156/(-30))/(2/(-20)). What is the least common multiple of (-1)/(2/30)*z/(-65) and 174? 348 Let j = -17025/2524 - 3/631. Let v be 3/(90/(-26948)) - (-168)/280. Let m = -43289/48 - v. What is the common denominator of m and j? 16 Suppose -2 = -2*m, 4*s + 6*m - 1484 = 10*m. Suppose -s - 5102 = -34*i. Calculate the smallest common multiple of i and 7. 161 Let z be (-5 - 1)/((-48)/16). What is the least common multiple of -6 + 5 + 9 + z and 134? 670 Find the common denominator of (-1515)/(-1444) - (-3 - 28/(-5 - 2)) and 55/8. 2888 Suppose 4*h + 90 = -6*h. Suppose -2*a + 21 = 69. What is the smallest common multiple of a/84 - h/7 a
{ "pile_set_name": "DM Mathematics" }
+ 2*x**2 - x**2 - 3*x**4)*(-5 - 22627*x + 5 + 21153*x). -2948*x**5 - 1474*x**3 Expand (1 + 2*w - 1)*(208*w - 24*w - 1194*w + 2). -2020*w**2 + 4*w Expand (-2 + t + 2*t - 2*t)*(476*t**3 + 221*t**3 - 109*t**3). 588*t**4 - 1176*t**3 Expand 2*v**2 - 5*v**2 + v**2 + (-4*v + 3*v + 2*v)*(-6007*v - 3265*v + 3052*v + 111*v). -6111*v**2 Expand -4*o + 2*o + o - 4*o + 2*o + 3*o + o - 4*o + 2*o + (-6 + 4 + 4)*(5*o - 3*o - 3*o) + (7 - 11 - 10)*(1 - 80*o - 89*o + 143*o). 361*o - 14 Expand 715*b**2 + 5*b**4 + 47*b + 2*b**5 - 715*b**2 + (-2 - 1 - 2)*(b**5 + 3*b**5 - 2*b**5). -8*b**5 + 5*b**4 + 47*b Expand (-1849*m**2 - 6378360*m + 6378360*m)*(4*m - 4*m + 3*m) - 3*m**3 + 4 - 2 + 2*m**3. -5548*m**3 + 2 Expand (-448*s + 1957*s - 353*s)*(0*s**4 - 10*s**3 - 2*s**4 + 18*s**3). -2312*s**5 + 9248*s**4 Expand (3 - 2 - 14)*(0*b**3 + 7*b**3 + 128683 - 128677 - 3*b). -91*b**3 + 39*b - 78 Expand (3 + p - 3)*(-p - 4*p + 4*p) - 1094 + 1094 - 699*p**2. -700*p**2 Expand (5 - 3*b - 5)*(7 - 4 - 1)*(-1757 + 841 + 388)*(-1 + 3 - 1). 3168*b Expand (5*g - 2*g - g)*(-5 + 2 - 12 + (0 + 2 - 5)*(2 - 2 - 2) + 0 + 3 - 5 - 5 - 1 + 3). -28*g Expand -51*x - 13596 + 13548 + 49*x + (-1 + 1 - x)*(-3 - 4 + 6). -x - 48 Expand (2*v**4 - 4*v**4 - 5*v**4)*(-98 + 85 + 87)*(5 + 7 + 0) - 3*v**4 + 2*v**4 + 2*v**4 + 0*v + 2*v**4 + 0*v + (3*v**3 - v**3 + 0*v**3)*(-5*v - v + 4*v). -6217*v**4 Expand 4*l**2 + 0*l**2 - 3*l**2 + (6*l + 18*l - 17*l)*(-2*l + l + 0*l). -6*l**2 Expand (-1759 - 1267 + 3992)*(4 - 4 - v)*(2*v - 4*v + 5*v)*(0 - 1 - 1)*(-3 + 4 - 3). -11592*v**2 Expand 0*g - g + 3*g - 2 + ((2 + 0 + 1)*(-13 + 26 + 1) + 0 - 3 + 2)*(-4*g + 13*g + 5*g). 576*g - 2 Expand (4 - 233*o - 368*o + 5 + 0 - 186*o)*(0*o**2 + 5*o**2 - 3*o**2). -1574*o**3 + 18*o**2 Expand (-2 - n**3 + 2)*(-4*n + n + n) - n**3 + n**3 - n**4 + (102*n + 19563 - 19563)*(4*n - 4*n + n**3). 103*n**4 Expand (-6 - 1 + 1)*(56*v - 95*v + 56*v)*(-62*v + 98*v - 72*v)*(v**2 + 0 + 0). 3672*v**4 Expand -2*k**5 + k**5 + 2*k**5 + (13*k + 3*k**2 - 13*k)*(-4*k**3 - 2*k**3 + 5*k**3) + 21250*k**2 - 21250*k**2 - 303*k**5. -305*k**5 Expand (22*r + 4*r + 19*r)*(2*r**2 - 3*r**2 + 0*r**2)*(9 + 4 - 10). -135*r**3 Expand (-1 - 1 + 0)*(-2 + d - 3*d + 4*d) - 76*d + 34*d - 11*d + 3. -57*d + 7 Expand (2 - 1 - 5)*(-21 + 0 + 2)*(5*l + 3*l - l). 532*l Expand (431 - 197 - 190)*(-s + 0 + 0) - 8*s - 5*s - 7*s. -64*s Expand (-3*g + 3*g - 2*g)*(170 - 6010 - 3773). 19226*g Expand (-70*o + 12*o**2 + 70*o)*(-5*o + 4*o**2 + 5*o)*(95*o + 0*o + 107*o - 45*o). 7536*o**5 Expand (0*q + 0*q - q**2)*(-177 + 149*q + 177)*(-1 + 2 + 1 + (-2 + 3 + 1)*(4 - 3 + 1) - 2 + 2 + 2 - 3 + 0 - 4) + 4*q**3 - 2*q**3 + 0*q**3. -147*q**3 Expand (-140 + 11*b**2 + 140)*(-2*b - 2*b + 2*b + (-5 + 2 + 5)*(b + 2*b - 4*b) + 3*b - b - 3*b - 4*b + 2 - 2 - 6*b + 2*b + 2*b - 3*b + 2*b - 3*b). -165*b**3 Expand (1 - 1 + 2*w**3)*(0 - 3 - 2) + 2*w**3 - 4*w**3 - w**3 - 6*w**3 + 3*w**3 + 2*w**3 + (1169 - 1169 - 27*w)*(-w**2 - 5*w**2 + 4*w**2). 40*w**3 Expand 77*n - 125*n + 124*n + ((-1 + 4 - 1)*(-4 + 4 - 2)*(1 - 2 - 1) + (2 - 4 + 1)*(3 - 1 - 4))*(-7*n + 18*n - 6*n). 126*n Expand ((0 + 0 + 2*k)*(3*k - 4*k - k) + 0*k**2 - 2*k**2 + 0*k**2)*(8*k**3 + 7*k**3 + 25*k**3 + (2 - k**3 - 2)*(-3 + 2 + 0)). -246*k**5 Expand (0*o - 12*o + 2*o)*(1464*o**2 + 28*o**3 - 1464*o**2 + (-3 + o + 3)*(0*o**2 + 0*o**2 + 2*o**2)). -300*o**4 Expand (-x**4 + x**4 + 2*x**4)*(0 + 0 + 2*x) - 11*x**3 + 3*x**5 + 11*x**3 + (20*x + 2*x + 10*x)*(-2*x + 2*x - 3*x**4). -89*x**5 Expand (-7 + 4 - 4)*(0 + 2 - 1 + (3 + 0 - 4)*(4 + 15 - 4))*(-v + 0 + 0) - v - 4*v - 2*v. -105*v Expand (-2 + 4 - 3)*(-4*p + 2*p + 5*p) - 26*p - 178 - 60 + 22*p. -7*p - 238 Expand 2*u**4 + u**5 + u**5 - u**5 + (-223*u - 202*u + 315*u)*(-4*u**2 + 4*u**2 + 4*u**4). -439*u**5 + 2*u**4 Expand (-3 + 0 + 0)*(54*b + 50*b - 16 - 121*b). 51*b + 48 Expand (4*d**5 - 3*d**5 - 5*d**5)*(-1 + 0 + 2)*(7 - 10 + 5). -8*d**5 Expand (-3*y - 3*y + 3*y)*(-6 - 3 - 1)*(48 + 86 + 5). 4170*y Expand -6*o + 0*o + 4*o + 1 + 2*o - 1 + (-6 + 1 + 4)*(0 + 0 + 2*o) + 2*o + 3*o - 4*o - 2*o + o - o + 3*o + o - 6*o + 62*o + 67*o - 128*o + 292. -4*o + 292 Expand (3*b**3 + 0 + 0)*(-2*b - 4*b + 3*b) + 8 - 8 + 10*b**4 - 13*b**4 + 5*b**4 + 10*b**4 + (0*b + b + 0*b)*(b - b + 2*b**3). 5*b**4 Expand 37614*d**4 + 22*d**3 + 25*d**3 - 12439*d**4 - 47*d**3 + (-2*d**2 - 3 + 3)*(3*d - 3*d - 2*d**2) + d**4 - d**4 + 2*d**4. 25181*d**4 Expand (-5303 + 3040 + 3391)*(-2*w**2 + 0*w**2 - w**2 + (-2 + 2 + 2)*(-2*w**2 + 2*w**2 - w**2)). -5640*w**2 Expand (5*k**2 - 5*k**2 + 2*k**2)*(0*k + 5*k - 3*k) - 349*k**3 + 272 - 272 + (3*k - 5*k + 3*k)*(-k + 0 + 0)*(13 + 16*k - 13). -361*k**3 Expand (5*n - n - 2*n)*((n - n + 2*n)*(-1 + 0 + 3) + n - n - n + 30 - 53 + 24 + 2*n). 10*n**2 + 2*n Expand ((0*m**3 + 0*m**3 - m**3)*(-3*m + 5*m - m) + (5*m + 3 - 11 - 3*m)*(-2*m**3 - 8*m + 8*m))*(2*m - m - 2*m). 5*m**5 - 16*m**4 Expand 388*o**4 - 160*o**4 + 463*o**4 + (4 - 1 - 5)*(-o**4 - 1 + 1) - 3 - 2*o**4 + 3. 691*o**4 Expand 3*n**2 - 2*n**2 + 2*n**2 + (2 + 2*n - 2)*(2*n + 2*n - 6*n) + (0*n + 3*n - 4*n)*(1 - 1 - 3*n) - 101*n**2 - 1017*n + 1017*n. -99*n**2 Expand (25*p**2 - 5*p + 14*p + 5*p**2)*(3*p + 2 - 2). 90*p**3 + 27*p**2 Expand (4*s - 4*s + 2*s)*(-18*s**3 + 52*s**4 + 16*s**3 - 215*s**4 + s). -326*s**5 - 4*s**4 + 2*s**2 Expand ((2 - 13 - 4)*(1 + 0 + 1) + 18 - 70 - 27)*(2*d + 4*d - 8*d - 1). 218*d + 109 Expand (0*n**2 + 2*n**2 + 5*n**2)*(90*n**2 + 201 - 201). 630*n**4 Expand (-829*a - 661*a - 24775 + 24775)*(-1 - 1 + 1)*(-4*a + 4*a - 5*a). -7450*a**2 Expand (3 - 1 - 5)*(-2 + 0 + 1)*(-z + 2 - 2) + (2*z - 1 + 1)*(3 - 4 - 1) - 536*z - 315*z + 287*z. -571*z Expand (-26*b + 229*b + 79*b)*(1 + 3 + 1 - 1). 1128*b Expand (-z - 1 + 1)*(3284*z**2 + 2173*z**2 + 2411*z**2). -7868*z**3 Expand (2 - 2*p - 2)*(-24 - 8 - 17)*(0*p + 3*p - 4*p). -98*p**2 Expand (9*g - 150*g + 53*g)*(3*g**2 - 5*g**2 + 0*g**2)*(1 - 6 + 3)*(g + 2*g - 6*g). 1056*g**4 Expand (-75*i**2 + 30643*i - 30643*i + 24*i**3)*(-4*i**2 + i**2 + 2*i**2). -24*i**5 + 75*i**4 Expand (-17*l**2 + 17*l**2 + 12*l**2)*(214 + 130 + 135). 5748*l**2 Expand w**4 - w**4 - w**4 + (-4*w**2 - w**2 + 3*w**2)*(22*w - 65*w - w)*(2*w - 3*w + 4*w). 263*w**4 Expand (10*r - 5*r + 11*r)*(-2 - r + 2 + (r + 0*r - 2*r)*(-1 - 2 + 4) + 12*r + 26*r - 82*r + r + 1 - 1). -720*r**2 Expand ((-1 + 3 + 1)*(-1 + 4 - 2) + (-6 + 1 + 1 - 10 - 33 + 17 + (-2 + 2 - 2)*(3 + 1 - 2) + 0 + 0 - 2)*(1 + 0 - 2))*(-2 + 2 + 6*o). 234*o Expand (2*r**3 - 5*r**3 + r**3)*(-4*r + 5*r + 0*r) - 4*r**4 + 5*r**4 - 3*r**4 + 129 + 141 + 74*r**4 - 294. 70*r**4 - 24 Expand (4 - 3*f - 4)*(-6 + 6 + 18)*(3 + 1 - 8)*(-3 + 4 + 3). 864*f Expand (4 - 4 - 5 + (4 - 5 + 3)*(5 - 3 - 3))*(253 - 6009*f - 3635*f - 2924*f - 253). 87976*f Expand -16*w**2 + 43*w**2 - 17*w**2 + (22 + 19 - 1)*(-3*w**2 + 3*w**2 + 3*w**2). 130*w**2 Expand -275*v - 336*v - 107*v + (-1 + 0 + 4)*(v - 4*v + v). -724*v Expand (6022 - 5682*a + 11360*a - 5679*a)*(3*a + 3 - 3). -3*a**2 + 18066*a Expand (194*m**2 - 137*m**2 + 264*m**2)*(0*m + 8*m + 4*m). 3852*m**3 Expand (-2 + 0 + 4)*(-2*a - 4*a + 4*a) + 10440 - 15173 + 15813 + 2*a + 8676 + 15190. -2*a + 34946 Expand (-273*s - 94 - 51 + 271*s)*(-25*s + 43*s - 29*s)*(3 - 1 + 0). 44*s**2 + 3190*s Expand (-5*v + 5*v - 4*v)*(-v**2 + 2*v**2 - 3*v**2) + 88*v**3 - 4 + 1 + 5. 96*v**3 + 2 Expand (9 - 60 + 34)*(-2*y**3 + 6*y**3 - 3*y**3). -17*y**3 Expand 6*h**4 - 20*h**4 - 19*h**4 + (3 - 3*h**3 - 3)*(-35 + 2 - 9)*(-3*h - h + 6*h). 219*h**4 Expand (5*x**2 + 0 + 6 - 4*x**2)*(-14 + 104*x + 45 - 27 + x). 105*x**3 + 4*x**2 + 630*x + 24 Expand (-14*t**2 + 52*t**2 + 10*t**2)*(-1 - 4 + 2)*(-2 + 2 + t**2)*(-3*t - 2*t + 4*t). 144*t**5 Expand (-5 - 43*w + 36*w - 1)*(-1 + 0 + 2)*(-3 + 3 + 7*w). -49*w**2 - 42*w Expand (-3 + 1 + 7 + 26*v)*(2*v**2 - 3*v**2 + 6*v**2). 130*v**3 + 25*v**2 Expand (7 + 6 - 5)*(910 + 55*n - 910)*(4 - 4 + 2*n). 880*n**2 Expand ((1 + 0 - 5)*(-5 + 2 + 2) - 1 + 1 + 2)*(18*b**3 + 34*b**4 - 18*b**3). 204*b**4 Expand -2*c**5 - c**5 + 4*c**5 + (0 + 1 - 3)*(1 + 3 - 6)*(152 - 152 + 14*c**5). 57*c**5 Expand (27*u**2 - 177*u + 177*u)*(0*u + u - 2644 + 2712). 27*u**3 + 1836*u**2 Expand 0 + 0 - 4*l**2 + (-4*l**2 + 88*l**2 - 213*l**2 - 3)*(1 + 1 - 1) + 3*l**2 + l - l. -130*l**2 - 3 Expand (-8 - h + 8)*(-6*h**3 - 28*h**3 - 41998 + 41996)*(2*h - 2 + 2). 68*h**5 + 4*h**2 Expand -7*t
{ "pile_set_name": "DM Mathematics" }
ighest common factor of 1113 and 684972? 159 What is the highest common divisor of 28 and 3604888? 28 What is the greatest common divisor of 411219 and 45? 9 Calculate the highest common divisor of 70 and 350. 70 What is the highest common factor of 2665 and 147395? 205 What is the highest common divisor of 11 and 7792840? 11 What is the highest common divisor of 195 and 537160? 65 Calculate the greatest common divisor of 1728 and 9045. 27 What is the highest common divisor of 447899 and 272? 17 What is the greatest common factor of 1824 and 7676? 76 What is the highest common divisor of 92 and 67068? 92 What is the greatest common divisor of 8 and 1778? 2 Calculate the greatest common factor of 147 and 1112251. 49 What is the greatest common divisor of 2439360 and 360? 360 What is the greatest common divisor of 10971 and 345276? 207 Calculate the highest common factor of 42777 and 7350. 147 What is the highest common divisor of 306890 and 30? 10 Calculate the greatest common factor of 5282 and 14. 2 Calculate the highest common divisor of 187 and 462. 11 Calculate the greatest common factor of 70 and 123235. 35 Calculate the greatest common divisor of 19323170 and 10. 10 What is the greatest common factor of 3937 and 620? 31 What is the highest common factor of 825 and 480? 15 Calculate the greatest common factor of 19 and 194313. 19 Calculate the highest common factor of 432 and 2736. 144 Calculate the greatest common factor of 2574 and 285428. 286 Calculate the greatest common divisor of 316 and 1519486. 158 Calculate the highest common factor of 77 and 679. 7 Calculate the greatest common factor of 24010 and 322. 14 Calculate the highest common divisor of 5642 and 24180. 806 What is the highest common divisor of 756153 and 9? 9 Calculate the greatest common divisor of 249 and 5945539. 83 Calculate the highest common factor of 400 and 1982800. 400 Calculate the highest common divisor of 912 and 91504. 304 Calculate the highest common divisor of 98 and 26740. 14 What is the greatest common divisor of 48 and 79464? 24 Calculate the greatest common factor of 943 and 31898. 41 What is the highest common divisor of 181275 and 1200? 75 What is the highest common factor of 4284 and 108332? 28 Calculate the greatest common factor of 2156 and 836. 44 What is the highest common divisor of 290017 and 4186? 91 What is the greatest common factor of 3822 and 32448? 78 Calculate the highest common factor of 5194 and 12667. 53 Calculate the highest common divisor of 69 and 28451. 23 What is the greatest common divisor of 1086526 and 588? 98 Calculate the highest common factor of 17504 and 547. 547 What is the highest common divisor of 82 and 399217? 41 Calculate the highest common divisor of 41388 and 60. 12 What is the highest common divisor of 90 and 30170? 10 What is the highest common factor of 6200 and 899? 31 What is the highest common divisor of 94136 and 56? 56 Calculate the greatest common divisor of 3536 and 611286. 442 Calculate the greatest common factor of 23845 and 7781. 251 Calculate the highest common factor of 387 and 149683. 43 What is the highest common divisor of 158 and 268442? 158 Calculate the highest common factor of 2219912 and 488. 488 What is the greatest common factor of 264559 and 1? 1 What is the greatest common factor of 1003 and 33571? 59 What is the highest common divisor of 468195 and 260? 65 What is the highest common divisor of 236389 and 97? 97 Calculate the highest common factor of 259356 and 24. 12 Calculate the greatest common factor of 170900 and 200. 100 Calculate the greatest common factor of 50 and 94275. 25 What is the greatest common factor of 26904 and 156? 12 Calculate the greatest common factor of 651 and 4995123. 651 Calculate the greatest common divisor of 11 and 47223. 11 Calculate the highest common factor of 1919 and 1212. 101 What is the highest common divisor of 17 and 881773? 17 What is the highest common factor of 40807 and 32981? 559 Calculate the greatest common divisor of 854 and 499102. 122 Calculate the highest common divisor of 13 and 80665. 13 What is the highest common factor of 88810 and 50? 10 Calculate the greatest common factor of 179196 and 24. 12 What is the greatest common divisor of 3600 and 161145? 45 What is the greatest common factor of 1872 and 881424? 144 What is the highest common factor of 273015 and 585? 45 What is the highest common factor of 91058 and 22? 22 Calculate the highest common factor of 33 and 3286107. 33 Calculate the greatest common divisor of 145104 and 48. 48 What is the highest common factor of 4676 and 22540? 28 What is the greatest common divisor of 1597789 and 314? 157 Calculate the highest common factor of 10772280 and 230. 230 What is the highest common divisor of 5 and 15812870? 5 What is the highest common divisor of 2352 and 38514? 294 What is the highest common factor of 319836 and 492? 12 Calculate the highest common factor of 102 and 4367436. 102 Calculate the highest common factor of 3770 and 10440. 290 What is the highest common factor of 60825 and 1350? 75 What is the highest common divisor of 22220 and 380? 20 Calculate the greatest common factor of 2006 and 216886. 34 Calculate the greatest common divisor of 2825 and 125. 25 What is the highest common factor of 15225 and 573825? 525 Calculate the highest common factor of 241722 and 182. 26 What is the highest common divisor of 21 and 178346? 7 What is the greatest common factor of 2380888 and 1658? 1658 Calculate the highest common factor of 19543 and 2. 1 What is the highest common factor of 27 and 16917? 3 What is the greatest common factor of 120 and 89700? 60 Calculate the greatest common factor of 43101 and 819. 9 Calculate the highest common divisor of 49256 and 235. 47 Calculate the highest common divisor of 1064 and 6859. 19 What is the highest common factor of 617432 and 226? 226 What is the greatest common factor of 201660 and 120? 60 Calculate the greatest common divisor of 468644 and 308. 44 What is the highest common divisor of 112 and 62839? 7 What is the highest common divisor of 1022 and 25354? 14 Calculate the greatest common factor of 27022 and 2519. 229 What is the highest common factor of 30 and 77565? 15 Calculate the highest common factor of 193314 and 7018. 638 What is the highest common divisor of 972 and 243? 243 What is the greatest common factor of 125 and 364275? 25 What is the highest common factor of 1320 and 55880? 440 What is the highest common divisor of 3020 and 13565? 5 What is the greatest common factor of 18249 and 9471? 231 What is the highest common factor of 3222 and 414? 18 Calculate the greatest common factor of 91564 and 264. 44 Calculate the greatest common factor of 90 and 6939. 9 Calculate the highest common divisor of 208964 and 476. 476 What is the highest common factor of 12 and 230116? 4 What is the highest common divisor of 39 and 3570151? 13 Calculate the greatest common factor of 4095 and 3094. 91 What is the greatest common factor of 44 and 1607188? 44 What is the highest common divisor of 312 and 138606? 78 What is the highest common divisor of 15875 and 1? 1 What is the greatest common divisor of 3772845 and 216? 27 Calculate the greatest common factor of 20 and 6340. 20 What is the greatest common factor of 1178 and 7448? 38 What is the highest common divisor of 712 and 75739? 89 Calculate the highest common divisor of 9774 and 135. 27 What is the highest common factor of 554879 and 52? 13 What is the highest common divisor of 48 and 904176? 48 What is the greatest common factor of 192 and 33504? 96 What is the greatest common divisor of 322 and 73255? 161 Calculate the highest common divisor of 90304 and 1360. 272 What is the highest common divisor of 2821 and 11648? 91 Calculate the greatest common divisor of 15000 and 7440. 120 What is the greatest common divisor of 1079892 and 2916? 972 Calculate the greatest common divisor of 16309 and 18391. 347 What is the highest common divisor of 3976 and 736? 8 Calculate the highest common factor of 329172 and 24. 12 What is the highest common divisor of 5150 and 618? 206 Calculate the greatest common divisor of 3638 and 7922. 34 What is the greatest common divisor of 8689065 and 105? 105
{ "pile_set_name": "DM Mathematics" }
? -0.00001 Let k(q) = q**3 + 27*q**2 + 15*q - 35. Let t(i) = -i - 45. Let o be t(-18). Let y be k(o). Let b = y - -182. What is b rounded to the nearest 10? -260 Suppose -15 = -5*v + 5*s, -v = -5*v - 2*s + 30. Let b(z) = 7196641*z + 154. Let w be b(v). Round w to the nearest 1000000. 43000000 Suppose 3*m + 2*m = 25, -5*y + 3*m = 45. Let j be 0/(-2 - -4) - y. Let h be 80*524*(-375)/j. Round h to the nearest one hundred thousand. -2600000 Let l(n) = -2589*n + 652. Let o be l(-10). What is o rounded to the nearest one thousand? 27000 Let j = 89.97 - 89.95657. What is j rounded to 2 dps? 0.01 Let b = -3228687 + 3228686.8180077. Let x = 44.818 + -45. Let a = b - x. What is a rounded to 6 decimal places? 0.000008 Let a = 973 + -973.449. Let q = 32.631 - a. Let z = q - 34. Round z to one dp. -0.9 Let k(i) = -665001*i**2 + 2*i. Let g be -2*5/2 + 7. Let c be k(g). What is c rounded to the nearest one hundred thousand? -2700000 Suppose -2*r + j - 93 = 4*j, -r = -3*j + 33. Let m be (-18 + r)*32/(-10). What is m rounded to the nearest ten? 190 Let w = -977 + 977.946. Let l = w - 1.64. What is l rounded to one dp? -0.7 Suppose 9*z + 7*z - 63109 - 509691 = 0. Round z to the nearest ten thousand. 40000 Let l = -56.6 + -218.4. Let d = 43897 + -44170.09. Let g = d - l. Round g to the nearest integer. 2 Let s = 1464.7999991724 + -1464.8. What is s rounded to seven decimal places? -0.0000008 Let n = -80582770 + 1915245. Let u = n + 78667853.99619. Let q = 329 - u. What is q rounded to 3 decimal places? 0.004 Let d = 277.912 + -278. Let i = 0.02551 + -0.11533. Let l = i - d. Round l to 4 decimal places. -0.0018 Let u be (-2)/10*1 - 3264/(-320). Suppose u*x + 1545000 = 13*x. What is x rounded to the nearest one hundred thousand? 500000 Let y(x) = 559*x**3 - 29*x**2 + 75*x - 16. Suppose -b - 4*b - 111 = -3*i, 0 = -3*i - 5*b + 81. Let j be y(i). What is j rounded to the nearest 1000000? 18000000 Let j = -693811201 - -693811186.49999885. Let w = j - -14.5. Round w to seven decimal places. -0.0000012 Let b = 4415.631215 + -0.031215. Round b to the nearest 10. 4420 Let p = 3899440 + -3899085.0223. Let a = -405 - -50. Let q = p + a. Round q to 3 dps. -0.022 Let a = 0.28267 - -30.03533. What is a rounded to the nearest integer? 30 Suppose 5*z - z - 8 = 0. Let i be 4 - (z + -3 + -289). Let b = -604 + i. What is b rounded to the nearest 100? -300 Let c = 0.2 + 27. Let w = 40.53668 + -13.33507. Let q = c - w. Round q to four decimal places. -0.0016 Let n = -21467.000017143 + 21467. What is n rounded to seven decimal places? -0.0000171 Let l = -1 + 1.022. Let i = -26.978 - l. Let p = 26.9999935 + i. Round p to six decimal places. -0.000007 Let y = 13133 - 13095.372. What is y rounded to the nearest 10? 40 Let k = -13033 - -13032.996102. What is k rounded to four decimal places? -0.0039 Let l = 870 + -92. Let q = -777.597 + l. Round q to two dps. 0.4 Suppose 25 = 3*l + 2*l - 5*n, -5*l = -n - 33. Suppose 0 = l*t + 686 + 3864. Let s be (-3)/(3 - -9)*t*-12. Round s to the nearest 100. -2000 Let p = 410493.44 - 410208.471685. Let b = p + -285.07. Let s = -0.102 - b. What is s rounded to five decimal places? -0.00032 Suppose -221*s - 3359787 = 8*s + 8068916. Round s to the nearest 10000. -50000 Let q = 34 - 33.986. Let z = -0.026 - q. Let l = z + -1.19. Round l to 1 decimal place. -1.2 Let m = 0.6983 + -0.698344204. What is m rounded to 7 decimal places? -0.0000442 Let y = 4.044634 - 4.038. What is y rounded to 4 dps? 0.0066 Let g = -33933.321 - -33951. Let b = 1.659 - g. Round b to the nearest integer. -16 Suppose -4*h - 2 = 10, 0 = 2*p + 4*h + 6. Suppose p*z + 0*z + m = -14943, -3*z - 14937 = -m. Round z to the nearest one hundred. -5000 Let f = -5735.88 - -12373.69. Let h = -6679 + f. What is h rounded to the nearest integer? -41 Let v(f) = 4*f**3 - 23*f**2 - 9*f + 28. Let q(o) = 13*o**3 - 69*o**2 - 26*o + 85. Let w(d) = -2*q(d) + 7*v(d). Let y be w(18). Round y to the nearest 1000. 4000 Suppose -3*y - 12 = -2*y + 5*o, 5*y - 2*o + 6 = 0. Let l(x) = 11*x**2 - 15*x**2 + 905 + 2*x - 4*x - 905 + 1361*x**3. Let q be l(y). Round q to the nearest 1000. -11000 Let b = -3017 - -1779. Let i = 21639 + -20460.3. Let u = b + i. Round u to the nearest integer. -59 Let l = 88.85 + 0.15. Let u = l + -154. Let z = -65.05 - u. What is z rounded to 2 decimal places? -0.05 Let p = -5619.6 + 6454. What is p rounded to the nearest 10? 830 Let q = -42333 + 42333.0049814. Round q to three decimal places. 0.005 Let b = -14568 - -14568.000050395. What is b rounded to five dps? 0.00005 Let n = 75081850 - -4208150. What is n rounded to the nearest one million? 79000000 Let c = -263.9691 + -0.0309. Let s = 273.26 + c. Round s to 0 dps. 9 Let m = 74113 - 74113.0054559. What is m rounded to four dps? -0.0055 Let m = -28 + 70. Let h(g) = m*g + 13*g**2 + 3247*g**3 - 7 - 14*g + 23. Let a be h(-23). Round a to the nearest 1000000. -40000000 Let h = -50627.99999977339 - -50628. What is h rounded to 7 decimal places? 0.0000002 Let c = 8.5 + -153.5. Let p = c + 144.615. What is p rounded to 1 dp? -0.4 Let c = -23479.405 - -23492. What is c rounded to one dp? 12.6 Let l = -1529.9059 + 1530. Let f = l - 0.093351. What is f rounded to 5 decimal places? 0.00075 Let x = 86903 - 45332. Round x to the nearest ten thousand. 40000 Suppose -2*i - 51*r + 52*r = -12, 32 = 3*i - 5*r. Suppose i*q - 15340000 = v, -3835000 = -5*q + 4*q - 5*v. What is q rounded to the nearest one million? 4000000 Let u = -39429.9999915052 - -39430. What is u rounded to seven decimal places? 0.0000085 Let w = -58 + 104. Let i = -38 + w. Suppose 6314 = i*p - 15*p. What is p rounded to the nearest 100? -900 Let q = -38293.37 - -38137. What is q rounded to the nearest 10? -160 Let c = -5152 + 10119. Round c to the nearest 1000. 5000 Suppose 3*y = t + 81305, -5*t = -4*y + 261016 + 145564. Round t to the nearest 1000. -81000 Let q(l) be the second derivative of l**5/20 - 17*l**4/12 + 13*l**3/3 + 31*l**2/2 + 19*l + 3. Let v be q(14). What is v rounded to the nearest 10? -190 Let p = -29911784023.899999447 - -29911784339.9. Let c = 316 - p. Round c to 7 decimal places. -0.0000006 Let q(y) = -659981*y + 55. Let a(x) = -329991*x + 27. Let c(t) = -7*a(t) + 3*q(t). Let b be c(-4). Round b to the nearest 100000. -1300000 Let u = -1.9 - -45.9. Let o = u - 44.06. Let w = -0.0533 - o. Round w to 3 decimal places. 0.007 Let b(l) = 6728*l - 10. Let t(r) = -2243*r + 4. Let h(w) = -6*b(w) - 17*t(w). Let d be h(16). What is d rounded to the nearest 1000? -36000 Let x = -990803 - -1106838.6. Let p = x + -115991.60152. Let a = p - 44. Round a to four decimal places. -0.0015 Let t = -367512 - -36618. Let l = 330885.50005 + t. Let p = -8.5 - l. What is p rounded to three decimal places? 0 Let m = -6596.9999984548 - -6597. What is m rounded to 7 dps? 0.0000015 Let r = -1283.974 - -4009.881. Let t = r - 2727. What is t rounded to 1 dp? -1.1 Let z = -0.00774 - -0.007754355. Round z to 7 dps. 0.0000144 Let o = 214 - 191. Suppose o*v - 21*v + 222400 = 0. Round v to the nearest ten thousand. -110000 Let w = -14.1763473 + 14.177. What is w rounded to four decimal places? 0.0007 Let m(t) = -60*t**2 - 34*t - 62. Let h(a) = 181*a**2 + 104*a + 186. Let q(d) = -2*h(d) - 7*m(d). Let k be q(-14). Round k to the nearest 1000. 11000 Suppose 0 = 27*b - 2037 - 15945. Let t = b + -497. What is t rounded to the nearest ten? 170 Let i = 0.0608 - -9.9392. Let w = -11.86 + i. What is w rounded to 1 decimal place? -1.9 Let g = 2.025 + -2.3. Let i = g - 0.069. Let b = -0.761 - i. Round b to two dps. -0.42 Suppose 3*i - 28 + 10 = 2*y, -5*y = -3*i + 36. Let p be (112/y)/(((-42)/(-48150))/(-7)). What is p rounded to the nearest ten thousand? 150000 Let k = 497.00013004 + -497. Round k to 5 dps. 0.00013 Let t = 2834 + -2622.55. Let m = -205 + t. Round m to 0 decimal places. 6 Let x = 0.0192 + -0.1192. Let h = 1193.89934 - 1194. Let v = x - h. What is v rounded to 4 dps? 0.0007 Let f(h) = -1396*h + 51. Let m be f(5). Let r = -47709 - m. What is r rounded to the nearest 1000? -41000 Let n = -86 + 87.36. Let t = -0.36 + n. Let s = t - 1.65. Round s to one dp. -0.7 Let l = 106612 - 106014.99. Round l to the nearest 100. 600 Let h = -14162 + 14163.99904. Let i = -2 + 4. Let o = h - i. Round o to 4 dec
{ "pile_set_name": "DM Mathematics" }
ppose -k = -n*k + 450. Calculate the highest common factor of k and m. 9 Let t be (5/15)/(1/3). Calculate the greatest common factor of 5 and t. 1 Let u = 0 - -4. Calculate the greatest common factor of 32 and u. 4 Let x be (-1)/2 + 82/4. Let s = 18 - 13. Suppose -24 = -s*d + p + 3, 0 = 3*p + 6. What is the highest common factor of d and x? 5 Let s = 3 - 3. Suppose s*g - 4*l = 5*g, -5*l = 0. Let f be 0/(g + 2) - -36. Calculate the highest common factor of 4 and f. 4 Let m(f) = -7*f + 5. Let s(j) = j. Let t(h) = -m(h) - 4*s(h). Let k be t(5). Calculate the greatest common divisor of 15 and k. 5 Let m = -12 + 24. What is the highest common divisor of 8 and m? 4 Let z(u) = u**2 - 8*u + 2. Let p be z(9). What is the highest common factor of p and 1? 1 Let l(i) = 3*i. Let x be l(1). Suppose 5*j - 2*h + 78 = 0, h = 2*j - 3*j - 10. Let a = j + 26. What is the greatest common divisor of x and a? 3 Suppose 3*l + 4*v = 2*l, 0 = 5*l - 3*v - 23. Let i = 162 - 39. Suppose 5*p + 3 = i. What is the highest common factor of l and p? 4 Let z = 4 + 6. What is the greatest common divisor of z and 5? 5 Suppose -w = -47 - 97. Calculate the greatest common factor of 18 and w. 18 Let v = -11 - -25. Let m(i) = -15*i - 15. Let d be m(-9). Let y = d - 64. What is the greatest common factor of y and v? 14 Let f be 4 - ((-6)/(-2) - (21 - -12)). Calculate the highest common factor of 119 and f. 17 Let k be ((-17)/(952/240))/(3/(-14)). Suppose -c = t - 20, 2*t = -4*c - c + 100. What is the greatest common divisor of c and k? 20 Let c = 167 + -157. What is the greatest common factor of c and 230? 10 Suppose 0 = -7*y + 3*y + 84. Calculate the highest common factor of y and 14. 7 Let i(l) = 17*l. Let m be i(1). Let s be (-34)/(-8)*(-204)/(-17). Calculate the greatest common factor of m and s. 17 Let x = -203 - -320. Suppose -4*c + c + x = 0. What is the greatest common factor of 13 and c? 13 Let a(b) = -2*b**3 + 6*b**2 + 4*b - 10. Let n be a(3). What is the greatest common divisor of 2 and n? 2 Let v be -2 - 5/(5/2). Let n be (150/9)/(v/(-6)). What is the highest common divisor of n and 5? 5 Let a(g) = g**2 + 10*g - 3. Let i be a(5). What is the highest common factor of i and 36? 36 Suppose -2*b = q - 31, 5*q - 53 + 2 = -2*b. Let w = -85 - -150. Calculate the greatest common divisor of w and b. 13 Let j = -1 - -1. Let g be (6 - 23)*(j + 2). Let m = g + 47. Calculate the highest common divisor of m and 104. 13 Suppose z - 5 = 1. Suppose 2*h - 3 - 27 = 0. Suppose h = 5*i, -4*b - 3*i + 15 = -3*b. What is the highest common divisor of z and b? 6 Let y(n) = 1 + 0*n - n - 2 + 3. Let q be y(-2). What is the highest common divisor of q and 2? 2 Let p = -3 - -13. Let k = -30 - -55. Calculate the highest common divisor of p and k. 5 Suppose 0 = -2*g - 6, 71 = 5*l - 3*g - 88. What is the greatest common factor of l and 120? 30 Let a(y) = y**2 + 2*y - 5. Let d be a(-4). Let f(x) = x**3 + 3*x**2 + x - 1. Let o be f(d). What is the highest common factor of o and 84? 28 Suppose -3 = 3*u - 2*a - 33, u = -4*a - 4. Let k = 7 + u. Calculate the greatest common divisor of 10 and k. 5 Suppose -3*r = 2*r - 25. Calculate the highest common factor of r and 55. 5 Let q be 3/2*(34 + 0). What is the greatest common factor of q and 17? 17 Suppose k = 3*k - 10. Let d be (1 + 1)/(14/(-259)). Let t = -22 - d. What is the highest common divisor of t and k? 5 Let g be ((-9)/(-6) + -2)*-8. Suppose -x = -g*z - 172, 0*z - 5*z = 5*x - 785. Let w be 6*((-80)/6)/(-4). Calculate the greatest common factor of w and x. 20 Let q be (-1 + (0 - -1))/(-2). Let y be q - -37 - (-6)/(-3). What is the highest common factor of 7 and y? 7 Let k(y) = -3*y**3 - 2*y**2 + 1. Let x be k(-1). Suppose -2 - 2 = -x*u. Let n be (-9 - 3)*u/(-3). Calculate the highest common factor of n and 16. 8 Suppose -2*l + l - 2*r + 4 = 0, -2*l - r + 2 = 0. Suppose l = y - 3*y + 8. Let s be 2/((-4)/2)*-10. What is the highest common factor of s and y? 2 Suppose -4*n + 2*x = -60, 5*n + 3*x - 14 - 50 = 0. What is the greatest common factor of n and 126? 14 Let w(h) = -10*h - 24. Let n be w(-4). Suppose l + 80 = 2*l. Calculate the highest common factor of l and n. 16 Suppose 0 = 5*u - 19 - 21. Let m be (12 + 4)*5/4. What is the greatest common divisor of u and m? 4 Suppose -4*g = -k + 27, -k - g = -4*k + 37. What is the highest common factor of k and 121? 11 Let o be (-448)/(-10) + 8/40. What is the highest common divisor of 9 and o? 9 Suppose 4*x = -0*x + 80. Let b(y) = y**2 - 10*y + 21. Let h be b(8). Calculate the highest common divisor of x and h. 5 Suppose 390 = 12*y - 2*y. What is the greatest common divisor of 13 and y? 13 Let r(i) = 5*i - 2*i**3 - 8*i**2 + i**3 + 3*i + 8. Let v be r(-7). Let t = -27 - v. Calculate the highest common factor of 28 and t. 14 Let m(o) = 4*o - 60. Let n be m(16). Let q(k) = 2*k**2 + 8*k + 4. Let u be q(-6). Calculate the greatest common divisor of u and n. 4 Let v = -19 + 26. Let a(l) = -62*l**3 + l**2. Let t be a(-1). Calculate the greatest common factor of v and t. 7 Let t = 36 + -28. Suppose -24 = -4*p + t. Calculate the greatest common factor of 88 and p. 8 Let b be 10 - (4 - (1 - -1)). Let g be (-3 - 20/(-15))/(5/(-60)). Calculate the greatest common factor of b and g. 4 Let t = 0 - 0. Suppose x + 0*x - 12 = t. Calculate the highest common divisor of 108 and x. 12 Let l(o) = -o**3 - 4*o**2 + 7*o - 6. Let h be l(-6). What is the highest common factor of 216 and h? 24 Suppose k = -1, 26 = 3*c - 5*k - 15. Suppose l - 2*i - 144 = -5*i, -2*l = 4*i - 280. What is the greatest common factor of l and c? 12 Let z = 1 - 1. Let a be z/3 - (-30)/2. Let d = -6 - -9. What is the greatest common factor of d and a? 3 Suppose p - 18 = 73. What is the greatest common factor of 13 and p? 13 Suppose -83 = -5*a + 112. Suppose -4*t + 46 + 58 = 0. Calculate the greatest common divisor of t and a. 13 Let y(u) = 29*u - 1. Let f be y(1). Suppose c + 2*g = f, -4*g = -5*c + 51 + 47. Calculate the highest common factor of 11 and c. 11 Let v = -4 + 6. Suppose r + v*r - 423 = 0. Let g be r/21 - 2/(-7). What is the highest common divisor of 1 and g? 1 Let v(r) = 2*r**2 - r - 4. Let j be 1 + (-4)/6*-3. Let k be v(j). What is the highest common factor of 1 and k? 1 Suppose 0 = p - 2*v - 18, 0*p + 3*p - 50 = 5*v. What is the greatest common divisor of p and 10? 10 Suppose 5*l = 52 + 308. Suppose l = o + o. Calculate the greatest common divisor of o and 4. 4 Let j be ((-25)/15)/(25/(-90)). Calculate the greatest common divisor of j and 6. 6 Let z = 77 - 63. Suppose -5*n = -4*c - 4, -4*n + n = -12. Suppose -4*t - 4 = 0, 6 = v - c*t - 12. Calculate the greatest common factor of v and z. 14 Suppose 8*o - 182 = -5*o. Let n(r) = 11*r**2 - 5*r - 2. Let g be n(-3). Suppose p = -p + g. What is the highest common divisor of o and p? 14 Let i be -1 + 21 - (-4 - -6). Let b be (i/4)/(1/10). What is the highest common divisor of 30 and b? 15 Suppose 6*g - 6 = 5*g. Let d be ((-9)/g)/((-1)/12). Let u(l) = -l**3 + 4*l**2 + 3*l. Let k be u(4). What is the highest common factor of k and d? 6 Let n(x) = -5 - 2*x + 5 + x**2. Let l be n(6). Calculate the highest common divisor of 8 and l. 8 Let d(o) = o + 2. Let h be d(7). Suppose -5*c = h - 39. Let i be (-86)/(-10) - 4/(-10). Calculate the highest common factor of c and i. 3 Let a be 1*(9 + -2) - 2. Let f(g) = g - 7. Let b be f(a). Let x be ((-1)/b)/(5/540). What is the greatest common divisor of 6 and x? 6 Let g be (666/(-6))/(2/6). Let d = -189 - g. What is the highest common divisor of d and 16? 16 Suppose d - 25 = -4*d, 4*d = 4*b + 40. Let i be b + 2 - (-20 + 1). Let p be (4 + -2)/((-2)/(-8)). What is the greatest common divisor of i and p? 8 Let d = -7 + 3. Let p(g) = -g**3 - 4*g**2 - 5*g - 6. Let f be p(d). Suppose -56 = -y - 2*l, 2*y - 3*l - 116 = -4. What is the highest common divisor of y and f? 14 Suppose -3*l = -5*l + 8. Suppose -5*h + 5*k + 20 = 0, 0 = l*k - 1 - 15. Calculate the greatest common factor of 1 and h. 1 Suppose 4*g = 4*q + 48, 6*g + 3*q = 5*g. What is the greatest common factor of 90 and g? 9 Let q be ((-52)/(-3))/4 - 9/27. Suppose 2*s - 23 = 41. What is the greatest common divisor of s and q? 4 Let a be ((-13)/(-2))/(6/12). What is the highest common factor of a and 143? 13 Suppose -6*m
{ "pile_set_name": "DM Mathematics" }
35, -973? -5*t**3 + 32*t**2 - 119*t + 7 What is the y'th term of 58713523, 117427053, 176140597, 234854161, 293567751? y**3 + y**2 + 58713520*y + 1 What is the q'th term of -23605566, -47211135, -70816704, -94422273, -118027842? -23605569*q + 3 What is the f'th term of 357017, 359169, 361321, 363473, 365625? 2152*f + 354865 What is the s'th term of -5500485, -5500494, -5500503, -5500512, -5500521? -9*s - 5500476 What is the u'th term of -21393152, -21393153, -21393154, -21393155, -21393156? -u - 21393151 What is the q'th term of -941, -1952, -2939, -3878, -4745, -5516? 4*q**3 - 12*q**2 - 1003*q + 70 What is the z'th term of 625688, 625727, 625764, 625799? -z**2 + 42*z + 625647 What is the l'th term of -42677, -44801, -46925? -2124*l - 40553 What is the x'th term of 22822285, 45644562, 68466839? 22822277*x + 8 What is the n'th term of 118212, 472869, 1063972, 1891527, 2955540? n**3 + 118217*n**2 - n - 5 What is the k'th term of 622760, 622764, 622762, 622748, 622716? -k**3 + 3*k**2 + 2*k + 622756 What is the q'th term of 496422, 1985705, 4467848, 7942851, 12410714? 496430*q**2 - 7*q - 1 What is the x'th term of -632, -1110, -1710, -2432, -3276, -4242, -5330? -61*x**2 - 295*x - 276 What is the y'th term of -306645, -1226605, -2759889, -4906503, -7666453? -y**3 - 306656*y**2 + 15*y - 3 What is the f'th term of -10573, -15859, -21145, -26431? -5286*f - 5287 What is the o'th term of 916, 3607, 8088, 14359, 22420? 895*o**2 + 6*o + 15 What is the d'th term of 10591785, 10591784, 10591783, 10591782, 10591781, 10591780? -d + 10591786 What is the g'th term of 4790, 3678, 2566? -1112*g + 5902 What is the y'th term of 81463, 162919, 244371, 325819, 407263, 488703, 570139? -2*y**2 + 81462*y + 3 What is the w'th term of 1944, 7907, 17850, 31773, 49676? 1990*w**2 - 7*w - 39 What is the d'th term of -812, -386, 30, 436? -5*d**2 + 441*d - 1248 What is the v'th term of -434931, -869864, -1304797, -1739730? -434933*v + 2 What is the t'th term of 3253, 7784, 15341, 25930, 39557, 56228, 75949? t**3 + 1507*t**2 + 3*t + 1742 What is the d'th term of -1575, -1632, -1671, -1680, -1647, -1560, -1407, -1176? 2*d**3 - 3*d**2 - 62*d - 1512 What is the d'th term of 13424, 25529, 37634, 49739, 61844, 73949? 12105*d + 1319 What is the t'th term of -1040, -3445, -7376, -12827, -19792, -28265, -38240, -49711? t**3 - 769*t**2 - 105*t - 167 What is the q'th term of 1679, 3007, 4313, 5597, 6859, 8099? -11*q**2 + 1361*q + 329 What is the i'th term of -458, -1155, -2204, -3605, -5358, -7463, -9920? -176*i**2 - 169*i - 113 What is the p'th term of -1364914, -1364923, -1364934, -1364947, -1364962? -p**2 - 6*p - 1364907 What is the j'th term of -19, -80, -191, -358, -587, -884, -1255? -j**3 - 19*j**2 + 3*j - 2 What is the f'th term of 6664, 12855, 19046, 25237, 31428, 37619? 6191*f + 473 What is the l'th term of 50813, 101712, 152693, 203756? 41*l**2 + 50776*l - 4 What is the c'th term of 224007, 223659, 223311? -348*c + 224355 What is the x'th term of -55720361, -111440734, -167161109, -222881486, -278601865, -334322246, -390042629? -x**2 - 55720370*x + 10 What is the a'th term of 1265, 2734, 4301, 5966, 7729, 9590, 11549? 49*a**2 + 1322*a - 106 What is the u'th term of -2390, -3831, -4350, -3947, -2622? 461*u**2 - 2824*u - 27 What is the n'th term of 68336, 68068, 67800? -268*n + 68604 What is the o'th term of 1659, 3290, 4911, 6522, 8123, 9714, 11295? -5*o**2 + 1646*o + 18 What is the w'th term of 5476, 21694, 48658, 86368, 134824, 194026, 263974? 5373*w**2 + 99*w + 4 What is the v'th term of 123328, 123317, 123306? -11*v + 123339 What is the o'th term of 89770, 358818, 807174, 1434838, 2241810, 3228090, 4393678? 89654*o**2 + 86*o + 30 What is the z'th term of 671, 815, 927, 1013, 1079, 1131, 1175? z**3 - 22*z**2 + 203*z + 489 What is the o'th term of -798952, -1597903, -2396854, -3195805? -798951*o - 1 What is the z'th term of -9652, -38175, -85572, -151843, -236988, -341007, -463900? -9437*z**2 - 212*z - 3 What is the i'th term of -2576113, -2576136, -2576177, -2576242, -2576337, -2576468? -i**3 - 3*i**2 - 7*i - 2576102 What is the m'th term of -406276, -812450, -1218624, -1624798, -2030972, -2437146? -406174*m - 102 What is the s'th term of -429499, -1717951, -3865371, -6871759, -10737115? -429484*s**2 - 15 What is the r'th term of 90722, 89267, 87812, 86357, 84902, 83447? -1455*r + 92177 What is the t'th term of -18249991, -18249955, -18249919, -18249883, -18249847, -18249811? 36*t - 18250027 What is the d'th term of -1641, -3686, -5997, -8706, -11945, -15846? -22*d**3 - d**2 - 1888*d + 270 What is the n'th term of 246618, 493273, 739892, 986457, 1232950? -3*n**3 + 246676*n - 55 What is the t'th term of -189, -1899, -6531, -15549, -30417, -52599, -83559, -124761? -244*t**3 + 3*t**2 - 11*t + 63 What is the z'th term of 4554846, 4554837, 4554826, 4554813? -z**2 - 6*z + 4554853 What is the h'th term of -272460, -278088, -283716, -289344? -5628*h - 266832 What is the h'th term of -75727, -151929, -228131, -304333, -380535? -76202*h + 475 What is the g'th term of -1591, -7169, -16467, -29485, -46223, -66681, -90859? -1860*g**2 + 2*g + 267 What is the q'th term of 12921, 21490, 30059, 38628, 47197? 8569*q + 4352 What is the x'th term of 725955, 1451888, 2177821, 2903754, 3629687, 4355620? 725933*x + 22 What is the z'th term of 238237, 239300, 240363, 241426, 242489? 1063*z + 237174 What is the t'th term of 1597, 12060, 40437, 95686, 186765? 1493*t**3 - t**2 + 15*t + 90 What is the g'th term of -908990, -1816855, -2724718, -3632579? g**2 - 907868*g - 1123 What is the a'th term of 446, 784, 1390, 2264, 3406, 4816, 6494? 134*a**2 - 64*a + 376 What is the q'th term of -27710, -27322, -26666, -25736, -24526, -23030, -21242? q**3 + 128*q**2 - 3*q - 27836 What is the q'th term of 12003, 23529, 35043, 46539, 58011, 69453, 80859? -q**3 + 11533*q + 471 What is the i'th term of -246307, -985340, -2217055, -3941452, -6158531? -246341*i**2 - 10*i + 44 What is the p'th term of -11425, -90145, -303815, -719911, -1405909, -2429285, -3857515? -11246*p**3 + p**2 - p - 179 What is the x'th term of -116639, -233013, -349339, -465617, -581847? 24*x**2 - 116446*x - 217 What is the o'th term of -276840, -553714, -830614, -1107540, -1384492? -13*o**2 - 276835*o + 8 What is the h'th term of -17005268, -34010538, -51015808, -68021078, -85026348, -102031618? -17005270*h + 2 What is the k'th term of -6578, -19489, -32398, -45305, -58210, -71113? k**2 - 12914*k + 6335 What is the u'th term of -534987, -1069976, -1604955, -2139918, -2674859? u**3 - u**2 - 534993*u + 6 What is the v'th term of -4702, -9417, -14124, -18805, -23442? 3*v**3 - 14*v**2 - 4694*v + 3 What is the a'th term of 1412, 6236, 14278, 25544, 40040? a**3 + 1603*a**2 + 8*a - 200 What is the h'th term of 2434, 9681, 21760, 38671? 2416*h**2 - h + 19 What is the j'th term of -17724, -15696, -13666, -11634, -9600, -7564, -5526? j**2 + 2025*j - 19750 What is the x'th term of 54485, 102325, 150153, 197963, 245749, 293505, 341225? -x**3 + 47847*x + 6639 What is the c'th term of 618613, 1237177, 1855741, 2474305, 3092869, 3711433? 618564*c + 49 What is the x'th term of 105129527, 210259059, 315388591? 105129532*x - 5 What is the u'th term of -16036, -64540, -145516, -258964, -404884, -583276, -794140? -16236*u**2 + 204*u - 4 What is the y'th term of 32807127, 65614252, 98421377? 32807125*y + 2 What is the d'th term of 32478, 132387, 298902, 532023, 831750? 33303*d**2 - 825 What is the d'th term of 15965, 32540, 49727, 67526, 85937, 104960? 306*d**2 + 15657*d + 2 What is the p'th term of 4970132, 4970154, 4970190, 4970240, 4970304? 7*p**2 + p + 4970124 What is the q'th term of 15452, 30559, 45666, 60773, 75880? 15107*q + 345 What is the g'th term of -199556, -199555, -199554, -199553? g - 199557 What is the p'th term of -110691, -221373, -332055, -442737, -553419, -664101? -110682*p - 9 What is the s'th term of -17076, -33395, -49606, -65709, -81704? 54*s**2 - 16481*s - 649 What is the y'th term of -383, -2334, -7083, -15860, -29895, -50418, -78659, -115848? -205*y**3 - 169*y**2 - 9*y What is the r'th term of -104, -206, -306, -410, -524, -654? -r**3 + 7*r**2 - 116*r + 6 What is the j'th term of -285158, -1140623, -2566400, -4562489, -7128890? -285156
{ "pile_set_name": "DM Mathematics" }