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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" }
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