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he first derivative of 6109*q + 10346*q - 13444*q + 6445 wrt q. 3011 Let o(q) be the first derivative of 83*q - 57 - 29/3*q**3 + 0*q**2. Differentiate o(u) with respect to u. -58*u Let y(g) be the third derivative of 2767*g**6/120 + 1199*g**3/6 - 20*g**2 + 17*g. Differentiate y(c) with respect to c. 8301*c**2 Let n = 12 - 10. Let d be ((-2)/(-10))/(2/90). What is the third derivative of -d*s**n + 7*s**2 + 0*s**2 - 8*s**3 wrt s? -48 Let a = -61 - -62. Let m(p) = 2*p**2 - 7*p + 6. Let b be m(3). Find the first derivative of -12*d - 11*d + 17*d - a - b wrt d. -6 Let y be 6 - ((-9)/3)/(3 - 6). Suppose -4*w - 2*p + 2 = -34, -5*w + y*p + 15 = 0. What is the first derivative of -1 - 7 - 23*i - w + 18 wrt i? -23 Let p(i) = -116*i**3 - 6*i + 1273. Let v(c) = -116*c**3 - 11*c + 1273. Let g(q) = 3*p(q) - 2*v(q). What is the derivative of g(n) wrt n? -348*n**2 + 4 Suppose -4*j = 2*v + 16, v - j - 11 = -2*v. Differentiate g**v - 8 + 35 + 59*g + 23 + 32 wrt g. 2*g + 59 Let q(y) = -y**3 - 3*y**2 + y + 1. Let g(m) = -1222*m**3 + 16*m**2 + 18*m - 4. Let u(f) = g(f) + 4*q(f). Find the third derivative of u(j) wrt j. -7356 Suppose -3*q = -21*i + 19*i - 85, 4*i + 95 = 3*q. What is the second derivative of 8*z - 10*z**2 - 34 + 15*z - q*z**2 + 34 wrt z? -70 Let m(j) = -j**2 + j - 3. Let i(a) = -298*a**3 + a**2 - 441*a + 3. Let f(z) = -2*i(z) - 2*m(z). What is the second derivative of f(x) wrt x? 3576*x Suppose -157 = -9*y - 40. Let s = 33 - y. Find the third derivative of -4*v - s*v**2 + 4*v + 39*v**5 - 59*v**5 wrt v. -1200*v**2 Let v be 10 - 0 - 1*(2 + 0). Suppose 3*r - v*r = -235. Find the first derivative of 39 + r + 16*t - 92 wrt t. 16 Let b(o) = -190*o - 128. Let p(s) = 63*s + 43. Let f = -185 - -193. Let i(y) = f*p(y) + 3*b(y). Find the first derivative of i(x) wrt x. -66 Let q(v) be the second derivative of 0*v**4 - 98*v**2 + 0 - 78*v - 187/30*v**6 + 0*v**5 + 0*v**3. Find the first derivative of q(z) wrt z. -748*z**3 Let f(x) = -x**3 + 7*x**2 - 7*x + 6. Let t be f(6). Let b be (6/4 - t) + 10/4. Differentiate -21 + b*r**4 + 4*r**3 - 4*r**3 - 20*r**4 with respect to r. -64*r**3 Let s(m) = 1060*m**3 + 4*m**2 - 4*m + 1605. Let o(z) = -3177*z**3 - 11*z**2 + 11*z - 4814. Let b(q) = 4*o(q) + 11*s(q). Differentiate b(x) with respect to x. -3144*x**2 Let z(d) = -3*d + 0*d + 2*d + 10*d**2. Let o be z(1). Find the third derivative of o*u**5 - 4*u**5 + 52*u**2 - 44*u**2 wrt u. 300*u**2 Let b(m) be the third derivative of 961*m**4/12 + 663*m**3/2 - 2181*m**2. Find the first derivative of b(s) wrt s. 1922 Let d(h) be the second derivative of 1/2*h**3 - 2*h**2 + 28*h - 2 + 0*h**4 + 2*h**6 - 1/10*h**5. What is the second derivative of d(r) wrt r? 720*r**2 - 12*r Let b(u) = -2415*u**3 + 6*u**2 - 520*u + 24. Let l(c) = -2416*c**3 + 7*c**2 - 521*c + 28. Let h(p) = 7*b(p) - 6*l(p). Find the second derivative of h(v) wrt v. -14454*v Find the third derivative of -811*r**4 + 1 + 3*r**6 + 1626*r**4 - 12*r + 7*r**5 - 9*r**2 - 816*r**4 wrt r. 360*r**3 + 420*r**2 - 24*r Let d(w) = 7 - 3*w - 43 - 4*w - 2*w**2 + 1. Let q = -31 - -28. Let k(v) = -v**2 - 3*v - 17. Let y(z) = q*d(z) + 7*k(z). What is the derivative of y(r) wrt r? -2*r Let n = 49 - 62. Let r(c) = 2*c**2 + 25*c - 8. Let h be r(n). What is the first derivative of -h*b**3 + 10 - 2 + 5 - 3*b**3 wrt b? -24*b**2 Let i(q) = -q**3 + 17*q**2 + 40*q - 36. Let c be i(19). Find the third derivative of -164*t**3 - 3*t - 233 + 2*t**2 + 103*t**3 + t + c*t wrt t. -366 Find the second derivative of -163624 - 552*k + 163625 - 179*k**2 - 2463*k**2 wrt k. -5284 Let r be (-4389)/(-132)*4/14. Let f(t) be the second derivative of 7/2*t**4 + 0*t**3 + 0 - r*t**2 + 36*t. What is the derivative of f(z) wrt z? 84*z Let l(g) = -g**2 + 35*g - 145. Let t be l(30). What is the third derivative of -y - y**2 - 16*y**5 - 105*y**5 - 6*y**2 + 10*y**t - 13*y**2 wrt y? -6660*y**2 Let i(a) be the third derivative of -1/15*a**5 + 49/3*a**3 + 0 + 55*a**2 + 0*a - 1/24*a**4. Differentiate i(f) wrt f. -8*f - 1 Find the third derivative of 414*d**2 - 205*d**3 + 1666*d**4 + 205*d**3 + 129*d**2 wrt d. 39984*d Let g(q) be the third derivative of -q**8/112 + q**7/210 + 37*q**6/120 - 5159*q**5/60 - 10*q**2 - 12*q + 5. Find the third derivative of g(c) wrt c. -180*c**2 + 24*c + 222 Let t(h) be the first derivative of h**6/3 + 123*h**5/5 + 359*h**3/3 + 397. Find the third derivative of t(z) wrt z. 120*z**2 + 2952*z Let w(h) = -225*h**4 - 25*h**3 + 25*h + 115. Let r(v) = -v**3 + v - 3. Let n(b) = 25*r(b) - w(b). Differentiate n(s) wrt s. 900*s**3 What is the first derivative of 1214 + 1086*c**2 - 453*c**2 - 369*c**2 wrt c? 528*c Suppose 3 = -7*g + 8*g. Suppose 5*s + g*r - 168 = -0*r, 3*r = -s + 24. Differentiate -18 - 13 + 51 - s*c with respect to c. -36 Let k(n) = -2*n**3 - 6*n**2 + 2*n + 8. Let a be k(-4). Find the second derivative of -15*x**3 + 4 + x**2 + 20*x - a*x + 6*x**3 wrt x. -54*x + 2 Suppose 217 + 231 = 28*z. Find the third derivative of -z*q**3 + 172*q**3 - 2*q**2 - 12*q**2 wrt q. 936 Let m(n) be the first derivative of -399*n**4/2 + 29*n**3 + 3*n + 1229. Find the third derivative of m(q) wrt q. -4788 Let d(l) = 494*l - 5755. Let m(w) = -923*w + 11509. Let s(q) = 11*d(q) + 6*m(q). What is the first derivative of s(c) wrt c? -104 Suppose 9 = 113*m - 110*m. Find the third derivative of -3 - 2 + 36*c**2 + 5 - 92*c**m wrt c. -552 Let d(z) be the second derivative of 4691*z**8/56 + 7*z**4/6 - 29*z**3/6 - z**2/2 + 866*z - 3. Find the third derivative of d(p) wrt p. 562920*p**3 Let a(b) = -894*b**2 - 5*b - 141. Let z(o) = 447*o**2 + 3*o + 71. Let x(q) = 4*a(q) + 7*z(q). What is the second derivative of x(t) wrt t? -894 Differentiate 90 + 88 + 1218*z + 113 + 169 + 258 with respect to z. 1218 Let n(z) be the second derivative of -1553*z**3/3 + 1528*z**2 + 400*z. Differentiate n(w) wrt w. -3106 Let w(d) = -3*d**2 - 38*d - 22. Let l be w(-12). Let f(i) = i - 1. Let n be f(3). Find the third derivative of 13*k**6 - k**2 + 5*k**n + 3*k**l wrt k. 1560*k**3 Let m(s) = 58*s + 58. Let g(w) = 176*w + 174. Suppose -4*o - 25 = -13. Let v(r) = o*g(r) + 8*m(r). Find the first derivative of v(a) wrt a. -64 Let z(l) be the third derivative of 0*l**5 + 25*l**2 + 0*l**6 + 0*l**3 + 49/24*l**4 - 29/210*l**7 - l + 0. What is the second derivative of z(x) wrt x? -348*x**2 What is the first derivative of -34*i**2 + 7*i**2 + 11*i**2 - 2301*i**4 + 16*i**2 + 2504 wrt i? -9204*i**3 What is the first derivative of -1607*v - 1278 + 3287*v - 1622*v - 147 wrt v? 58 Suppose -2*p + 33 - 17 = 0. Let o be 4/6*-6 + p. Differentiate 0*c**o - 119*c - 1 + 119*c + 11*c**4 with respect to c. 44*c**3 Let g(n) = -4*n**3 - 2*n**2 + 2*n + 1. Let t(i) = 24*i**3 + 48*i**2 - 48*i + 3664. Let f(r) = 24*g(r) + t(r). What is the derivative of f(o) wrt o? -216*o**2 Let m(s) = 13*s**3 + 563*s**2 - 37*s - 16433. Let x(a) = 6*a**3 + 282*a**2 - 17*a - 8217. Let c(t) = -5*m(t) + 11*x(t). Differentiate c(k) wrt k. 3*k**2 + 574*k - 2 Let h(i) be the first derivative of -i**7/7 - 935*i**5 + 542*i**3/3 + i**2/2 - 2*i - 552. Find the third derivative of h(o) wrt o. -120*o**3 - 112200*o Let h(t) = t**3 - 8*t**2 + 9*t - 2. Let m be h(6). Let i = 24 + m. What is the first derivative of 9*g**4 + 0*g**i + 1 + 3 wrt g? 36*g**3 Let v(h) = -8*h**2 - 7*h - 4. Let a be 76/24 - (-5)/6. Let o(u) = u**2 + 1. Let j = 3 - 2. Let p(s) = a*o(s) + j*v(s). Find the second derivative of p(i) wrt i. -8 Let s(a) be the third derivative of 2491*a**4/24 + 943*a**3/2 + 1409*a**2. Find the first derivative of s(b) wrt b. 2491 Let n(q) = q**2 - 13*q + 3. Suppose -3*l - 6*l = -117. Let t be n(l). Differentiate -1 + 0*d**3 - 2*d**t - 6 + 8 with respect to d. -6*d**2 Let q be (498/7)/2 - (-56)/(-98). Find the first derivative of -185*m**4 - q + 79 + 91 + 16 wrt m. -740*m**3 What is the derivative of -1769 - 72 - 195 + 1740*h**2 wrt h? 3480*h Let j(h) be the second derivative of 0*h**2 - 23/10*h**5 + 19/4*h**4 + 1/6*h**3 + 5*h - 5. What is the third derivative of j(p) wrt p? -276 Suppose 3*l = 0, -3*t = -4*t + 5*l + 3. Suppose t*g - 71 = -65. What is the third derivative of -5*i**3 + 3*i**3 + 22*i + i**g + 26*i - 57*i wrt i? -12 Let n(v) = -3*v - 19. Let x be n(-6). Let y = 3 - x. What is the derivative of y*w**3 + 5*w**3 + 7 + 2*w**3 wrt w? 33*w**2 What is
{ "pile_set_name": "DM Mathematics" }
+ 27221 for o. -32 Solve -93*p + 1441*p - 27922 = 12518 for p. 30 Solve -12113 + 8923 = 152*s - 9422 for s. 41 Solve 6065*p = 5999*p + 1122 for p. 17 Solve 130*j + 178268 - 173068 = 0 for j. -40 Solve 210*w + 1277 + 3682 = -39*w - 3009 for w. -32 Solve -9912 = 859*t + 18041 + 7266 for t. -41 Solve 233*r + 78172 = -36*r + 48044 for r. -112 Solve -395*z + 607 = 2187 for z. -4 Solve -10*q + 3201 = -556*q - 14533 + 1900 for q. -29 Solve 551 - 203 + 1156 = 47*i for i. 32 Solve 1187*q - 27036 = -1010*q + 334*q + 361*q for q. 18 Solve 139*y + 36*y = -340*y + 23303 + 4507 for y. 54 Solve -45*v + 17*v - 80*v = 77*v + 17575 for v. -95 Solve 2213*z - 1387*z = -359*z - 123240 for z. -104 Solve 1447*t + 24820 - 4142 = -30*t for t. -14 Solve 275854*u - 275865*u + 297 = 0 for u. 27 Solve 166287*u - 351 - 224 = 166264*u for u. 25 Solve -47*l - 2139 = -170*l + 96*l + 96*l for l. -31 Solve 54*q - 92*q - 945 + 261 = 0 for q. -18 Solve -214*m + 489187 = 502455 for m. -62 Solve 17088 = -96*q + 808*q for q. 24 Solve -61*z - 230*z = 82*z + 6*z + 14023 for z. -37 Solve -25*i + 1719 = 61*i - 212 - 219 for i. 25 Solve 842*q = 777*q - 1690 for q. -26 Solve 843*k - 16002*k + 317354 = -985 for k. 21 Solve 0 = -146*d - 1504*d + 42*d + 2*d - 9636 for d. -6 Solve -448*u - 49 - 15183 = 0 for u. -34 Solve -5021 = 151*d - 4266 for d. -5 Solve 280*o + 348*o + 15 = 643 for o. 1 Solve 380*b + 299928 = 287388 for b. -33 Solve 33*k - 144*k = -243*k - 130*k + 6026 for k. 23 Solve -64234 - 9035 = 1163*h for h. -63 Solve -397*q - 71*q + 23750 = 174*q + 3848 for q. 31 Solve -10095*t - 5049 = 10153*t - 20197*t for t. -99 Solve -193*a - 384*a - 9870 + 30642 = 0 for a. 36 Solve 28*s - 501 = -24*s - 12*s + 2123 for s. 41 Solve 0 = 715*d - 4964*d + 243058 + 33127 for d. 65 Solve -1304*h + 891 = -739*h - 664*h for h. -9 Solve -1169*c - 83 = -29308 for c. 25 Solve -19*h - 5544 = 16*h + 90*h + h for h. -44 Solve 0 = 221118*r - 219782*r - 64128 for r. 48 Solve 69*n + 17272 = -26*n - 18*n - 14*n for n. -136 Solve -3152 - 1189 - 1454 = -180*s + 865 for s. 37 Solve 363*w - 42471 = -710*w - 500*w for w. 27 Solve -4832 - 11802 = -666*h + 12004 for h. 43 Solve 196759 - 295688 = 6839*h - 284749 - 347622 for h. 78 Solve 280*r + 4*r - 166200 = 1530*r + 5402*r for r. -25 Solve 7416*r + 47516 = -55241 + 21181 for r. -11 Solve 3242 = -57*g - 38*g - 4523 + 1685 for g. -64 Solve 148*h - 230*h - 502*h = 96*h + 7480 for h. -11 Solve -690*q - 25981 = 2309 for q. -41 Solve 145236 = 3670*z - 212*z for z. 42 Solve 121580 = 4149*n - 31933 for n. 37 Solve 297*s = 824*s - 442*s + 6375 for s. -75 Solve -4*i + i = 25*i + 976 + 872 for i. -66 Solve -3341 + 1676 = -51*p + 783 for p. 48 Solve 1844*f - 2986 = 6234 for f. 5 Solve -2595*d - 1352*d + 503330 - 75166 = 1839*d for d. 74 Solve -1213*a - 3111*a - 143*a = -580710 for a. 130 Solve -2464665*g - 1640 = -2464624*g for g. -40 Solve 3716 = 253*n - 7922 for n. 46 Solve 0 = 306*x - 51*x - 3315 for x. 13 Solve 412*k + 4925 = 138*k + 13967 for k. 33 Solve 2584*y + 152416 = 54224 for y. -38 Solve -27*a + 22594 = -1090*a + 194*a for a. -26 Solve 1407*n - 750*n + 143702 = -3210*n - 250732 for n. -102 Solve 18559*c = 18685*c - 4284 for c. 34 Solve -13*i = -59*i - 111*i + 5024 for i. 32 Solve 2530816 = 492*w + 2531800 for w. -2 Solve -253*m = 980*m - 3699 for m. 3 Solve 7323 = -755*d + 8264 + 30014 for d. 41 Solve -3166*x - 16 = -3174*x for x. 2 Solve 0 = -133*m + 87*m - 966 for m. -21 Solve -7080 = 126*k - 22*k - 34*k + 166*k for k. -30 Solve -680*n + 1877*n - 48406 - 38975 = 0 for n. 73 Solve -2456*k + 27650 = -1284*k - 1522*k for k. -79 Solve -438*n + 121*n = -119*n + 8910 for n. -45 Solve 16788 + 1932 = -288*o for o. -65 Solve -279*p + 2448 = 21420 for p. -68 Solve -24728*i - 462838 = -1773422 for i. 53 Solve 44*q + 221 = -760 - 75 for q. -24 Solve -19745 = 1003*o + 16077 - 10747 for o. -25 Solve 63758 = 2533*s - 42628 for s. 42 Solve -44*u = 5179 - 7071 for u. 43 Solve -328*k - 475 = -266*k + 703 for k. -19 Solve -1403*w - 1417*w + 26900 + 22016 = -1073*w for w. 28 Solve -15098*s = -14697*s + 37293 for s. -93 Solve -534*x = -174*x + 384*x - 5208 for x. 7 Solve -284474 = 224*h - 282458 for h. -9 Solve -256*m + 3306 = -167*m - 593*m - 598*m for m. -3 Solve -2127171 = -123*a - 2137749 for a. -86 Solve 948*l - 21434 = 5877 + 4921 for l. 34 Solve -8926*h - 18426 = 97612 for h. -13 Solve -1072*j + 603*j - 696*j = 26811 + 78039 for j. -90 Solve -675*j + 1100*j - 197*j - 746*j + 31598 = 0 for j. 61 Solve -6074 - 36631 = 874*u + 75*u for u. -45 Solve -1921*m + 87008 + 142939 - 78523 = 783*m for m. 56 Solve 7499 = -177*v - 1158*v - 5832 - 4024 for v. -13 Solve -39*c - 303*c - 1314 = -14738 - 5386 for c. 55 Solve 197*v = -83558 + 65434 for v. -92 Solve 173558 - 12043 = -2955*s - 2593*s - 71501 for s. -42 Solve -327*o - 3772 = 1535 - 75 for o. -16 Solve 5846 + 2803 = -701*i - 1165 for i. -14 Solve -627*d - 4002 = -685*d for d. 69 Solve -1244*j + 465*j - 19416 = 2339*j + 8646 for j. -9 Solve -4633648 = -184*h - 4636592 for h. -16 Solve -4034*h = -31*h - 200150 for h. 50 Solve 39*b + 840 = -78*b + 77*b for b. -21 Solve -1328 = 470*i + 15122 for i. -35 Solve -4388*d + 130026 = -36718 for d. 38 Solve 245375*x = 245877*x + 19076 for x. -38 Solve 389*p = -194*p - 230*p + 38*p - 75950 for p. -98 Solve -4630 - 6910 = -577*r for r. 20 Solve 987*n + 7810 = -4717 - 16096 for n. -29 Solve -8663*r + 10937*r = -27288 for r. -12 Solve 12699*h + 5296 = -419532 - 83132 for h. -40 Solve 0 = 105*v + 38*v - 212 + 355 for v. -1 Solve 222*v = -149*v + 1072 + 3230 + 23894 for v. 76 Solve -832*h - 6*h - 10613 - 13689 = 0 for h. -29 Solve 21*o + 381 + 469 = 222 - 44 for o. -32 Solve 2754411*z = 2754328*z + 8051 for z. 97 Solve -350 - 149 - 122 = -207*o for o. 3 Solve -i - 136 = 180 - 292 for i. -24 Solve 48622*o + 48586*o = 97154*o + 1728 for o. 32 Solve 7168*r - 576763 - 1609879 = -14855*r - 556940 for r. 74 Solve -211650 - 930198 = -15859*w for w. 72 Solve 11658*h - 365487 - 557067 = -217545 + 17787 for h. 62 Solve 140*g - 252*g = 129*g - 23618 for g. 98 Solve 0 = -6*x - 842 + 992 for x. 25 Solve -2305*s + 631*s - 3755*s - 21998 = 86582 for s. -20 Solve 457*v - 36468892 + 36524646 = 0 for v. -122 Solve 41*h - 464 - 51 = 961 + 2173 for h. 89 Solve 1278*c - 21367 - 7625 = -727*c - 411*c for c. 12 Solve 62170 = 2335*f - 19555 for f. 35 Solve 2167 = -76*v + 160*v - 605 for v. 33 Solve 3253*d - 95316 - 112876 = 0 for d. 64 Solve 0 = -956*c + 10603*c - 405174 for c. 42 Solve -1500*b + 836*b + 33141 = 1791*b - 18414 for b. 21 Solve -125*b = -30*b + 347*b - 7072 for b. 16 Solve 0 = -5163*a - 729641 + 84266 for a. -125 Solve 7747355 = -75*a + 7748780 for a. 19 Solve 125272*u - 62636*u - 3168 = 62708*u for u. -44 Solve 698 - 38 = -660*k for k. -1 Solve -200*k + 299*k - 128*k - 126*k + 7750 = 0 for k. 50 Solve -20283*r + 20385*r - 4284 = 0 for r. 42 Solve -351*w + 16537 + 40871 = 845*w for w. 48 Solve 0 = 79*m + 135*m + 182*m - 16144 - 19100 for m. 89 Solve -3658*k - 3744*k - 108 = -7510*k for k. 1 Solve 0 = 132*p - 361*p - 79319 + 76113 for p. -14 Solve 0 = -15891*w - 15822*w + 31848*w + 12334 - 994 for w. -84 Solve 1951*a - 1631*a = -2880 for a. -9 Solve -1373*z - 31*z = -63180 for z. 45 Solve -4249*s - 435 = -4264*s for s. 29 Solve 8141*t = 8157*t - 128 for t. 8 Solve 57*v + 58*v - 1285 = 148*v - 31 for v. -38 Solve -1592 + 545 = -24*i - 147 + 948 for i. 77 Solve -122100*m - 12672 = -121972*m for m. -99 Solve -1127*k - 36603 = -7301 for k. -26 Solve -3807*d - 28045 = -3412*d for d. -71 Solve -2185*i + 7554*i - 300664 = 0 for i. 56 Solve 5952*z - 2756 = 5263*z for z. 4 Solve -280*b = 3823 + 853 - 196 for b. -16 Solve 1820*w - 16199 = 1050*w + 937*w for w. -97 Solve 3241*a - 4207 = -17171 for a. -4 Solve 0 = 660*s + 1111*s + 958*s + 16374 for s. -6 Solve 110*x - 27*x = 724*x + 86535 for x. -135 Solve 1316*x - 36653 - 6775 = 0 for x. 33 Solve 38*z = -1225 + 1035 for z. -5 Solve 440*g - 222 = 889*g - 300*g + 970 for g. -8 Solve -23198 - 12046 = 649*f - 7781 + 12775 for f. -62 Solve 0 = 2084*y + 23612 - 156988 for y. 64 Solve 9552*i = 9220*i + 17928 for i. 54 Solve -151231 - 253044 = -14544*v + 526541 for v. 64 Solve 0 = -1797*t + 116842 - 264196 for t. -82 Solve 1837*g + 316608 = 6784*g for g. 64 Solve 94*p = 67*p -
{ "pile_set_name": "DM Mathematics" }
en 199133123 is divided by 4115? 43 What is the remainder when 2279696 is divided by 12453? 797 Calculate the remainder when 275757 is divided by 3535. 27 Calculate the remainder when 53639 is divided by 26720. 199 What is the remainder when 920259 is divided by 98? 39 Calculate the remainder when 925563 is divided by 1464. 315 What is the remainder when 408204 is divided by 137? 81 What is the remainder when 19244399 is divided by 3207395? 29 Calculate the remainder when 974457 is divided by 80. 57 What is the remainder when 12213866 is divided by 304? 58 What is the remainder when 2543208 is divided by 1153? 843 Calculate the remainder when 140675 is divided by 176. 51 What is the remainder when 426700914 is divided by 61? 58 Calculate the remainder when 5496311 is divided by 879. 803 What is the remainder when 369595 is divided by 137? 106 Calculate the remainder when 30794991 is divided by 10265. 10256 Calculate the remainder when 114605 is divided by 19081. 119 What is the remainder when 6375434 is divided by 141? 119 Calculate the remainder when 134474 is divided by 11988. 2606 What is the remainder when 57358260 is divided by 8? 4 Calculate the remainder when 86673621 is divided by 9630401. 12 Calculate the remainder when 5018590 is divided by 242. 236 What is the remainder when 641178 is divided by 159849? 1782 Calculate the remainder when 57671710 is divided by 186. 178 What is the remainder when 376264 is divided by 93940? 504 Calculate the remainder when 5237593 is divided by 5090. 5073 Calculate the remainder when 18137567 is divided by 43. 38 What is the remainder when 47130657 is divided by 924130? 27 What is the remainder when 751087 is divided by 370154? 10779 What is the remainder when 1255231 is divided by 143? 120 Calculate the remainder when 203390537 is divided by 626. 7 Calculate the remainder when 1551815 is divided by 67470. 5 What is the remainder when 1448329 is divided by 723640? 1049 What is the remainder when 3745090 is divided by 197105? 95 What is the remainder when 11748180 is divided by 6? 0 Calculate the remainder when 325954 is divided by 6268. 18 Calculate the remainder when 417179 is divided by 5445. 3359 Calculate the remainder when 2638185 is divided by 65953. 65 Calculate the remainder when 9214655 is divided by 44. 43 What is the remainder when 373349413 is divided by 186674704? 5 Calculate the remainder when 1640073 is divided by 52. 45 What is the remainder when 4215836 is divided by 2107914? 8 Calculate the remainder when 80971064 is divided by 106. 102 Calculate the remainder when 307171697 is divided by 981. 977 What is the remainder when 4478034 is divided by 347? 346 What is the remainder when 646396 is divided by 710? 296 Calculate the remainder when 19981 is divided by 5019. 4924 Calculate the remainder when 3302341 is divided by 121. 9 Calculate the remainder when 30732517 is divided by 313597. 11 Calculate the remainder when 3886774 is divided by 1977. 1969 What is the remainder when 49625 is divided by 24310? 1005 What is the remainder when 285990 is divided by 94962? 1104 Calculate the remainder when 176062 is divided by 43869. 586 What is the remainder when 223827369 is divided by 22? 7 Calculate the remainder when 321909 is divided by 63767. 3074 Calculate the remainder when 92968 is divided by 23086. 624 Calculate the remainder when 84676 is divided by 7620. 856 Calculate the remainder when 4883319 is divided by 10. 9 What is the remainder when 80858516 is divided by 20214626? 12 What is the remainder when 1207574 is divided by 203? 130 What is the remainder when 213105 is divided by 7103? 15 What is the remainder when 195887 is divided by 48854? 471 What is the remainder when 57342 is divided by 2267? 667 What is the remainder when 101336 is divided by 154? 4 What is the remainder when 4466645 is divided by 25? 20 What is the remainder when 1869303 is divided by 133520? 23 What is the remainder when 24639 is divided by 22146? 2493 What is the remainder when 54135331 is divided by 17? 4 Calculate the remainder when 352816 is divided by 23513. 121 What is the remainder when 1145411 is divided by 228900? 911 What is the remainder when 16720302 is divided by 1654? 16 Calculate the remainder when 808828 is divided by 315. 223 Calculate the remainder when 5939 is divided by 4746. 1193 What is the remainder when 420068350 is divided by 8184? 8182 What is the remainder when 75159462 is divided by 2656? 2630 What is the remainder when 33074 is divided by 6451? 819 Calculate the remainder when 7159251 is divided by 299. 294 Calculate the remainder when 26243862 is divided by 317. 66 What is the remainder when 840303 is divided by 419983? 337 What is the remainder when 34632281 is divided by 234? 47 What is the remainder when 25739164 is divided by 55? 44 Calculate the remainder when 8171 is divided by 3058. 2055 What is the remainder when 258166 is divided by 3853? 15 What is the remainder when 62598601 is divided by 494? 403 Calculate the remainder when 2194078 is divided by 5325. 178 Calculate the remainder when 10791875 is divided by 1021. 926 Calculate the remainder when 26018906 is divided by 732. 698 Calculate the remainder when 341136 is divided by 59. 57 What is the remainder when 3378789 is divided by 60? 9 What is the remainder when 577720 is divided by 57772? 0 What is the remainder when 76066629 is divided by 71? 69 What is the remainder when 29190 is divided by 1937? 135 What is the remainder when 31149 is divided by 13818? 3513 Calculate the remainder when 3176911 is divided by 919. 847 Calculate the remainder when 1958852 is divided by 262. 140 What is the remainder when 15181104 is divided by 26? 16 Calculate the remainder when 275611 is divided by 1323. 427 What is the remainder when 241072 is divided by 2313? 520 Calculate the remainder when 2196669 is divided by 2722. 15 What is the remainder when 4346661 is divided by 62095? 11 Calculate the remainder when 370121 is divided by 16090. 51 What is the remainder when 3887962 is divided by 1108? 1098 What is the remainder when 245707082 is divided by 17? 13 What is the remainder when 8589636 is divided by 1664? 68 What is the remainder when 423873 is divided by 803? 692 What is the remainder when 13556803 is divided by 415? 413 Calculate the remainder when 20285668 is divided by 2897951. 11 Calculate the remainder when 551951 is divided by 10221. 17 What is the remainder when 727941 is divided by 363958? 25 Calculate the remainder when 194965 is divided by 64577. 1234 What is the remainder when 75336 is divided by 31? 6 Calculate the remainder when 280236 is divided by 2016. 12 What is the remainder when 23724270 is divided by 11862105? 60 Calculate the remainder when 32117593 is divided by 118. 117 Calculate the remainder when 3028138 is divided by 86518. 8 What is the remainder when 63424 is divided by 63220? 204 Calculate the remainder when 5001700 is divided by 31. 5 Calculate the remainder when 1125599 is divided by 10421. 131 What is the remainder when 50497585 is divided by 818? 809 Calculate the remainder when 10917244 is divided by 460. 64 What is the remainder when 6042355 is divided by 10437? 9769 Calculate the remainder when 568604971 is divided by 124. 119 What is the remainder when 178121 is divided by 778? 737 What is the remainder when 163306 is divided by 1374? 1174 Calculate the remainder when 27999 is divided by 2551. 2489 What is the remainder when 6046344 is divided by 2015440? 24 What is the remainder when 19579836 is divided by 3915965? 11 What is the remainder when 4391659 is divided by 4344? 4219 Calculate the remainder when 853919 is divided by 8539. 19 What is the remainder when 5149812 is divided by 54? 48 Calculate the remainder when 232989 is divided by 10129. 22 Calculate the remainder when 92557 is divided by 18505. 32 What is the remainder when 134088 is divided by 1536? 456 Calculate the remainder when 2391505 is divided by 741. 298 Calculate the remainder when 169800 is divided by 148. 44 What is the remainder when 432936 is divided by 793? 751 What is the remainder when 1337409 is divided by 147? 3 What is the remainder when 814150 is divided by 27137? 40 Calculate the remainder when 3046237
{ "pile_set_name": "DM Mathematics" }
Calculate prob of picking 1 v and 1 x when two letters picked without replacement from {u: 1, x: 1, v: 1, m: 2}. 1/10 Calculate prob of picking 4 d when four letters picked without replacement from {d: 5}. 1 What is prob of picking 1 f and 2 l when three letters picked without replacement from lnspsvsfplnnvssspnpl? 1/380 What is prob of picking 1 h and 1 w when two letters picked without replacement from {q: 6, w: 2, h: 9}? 9/68 Two letters picked without replacement from rrppp. Give prob of picking 2 r. 1/10 Calculate prob of picking 2 u when two letters picked without replacement from ullsucuvxsl. 3/55 Three letters picked without replacement from jjuzuujzzjzzjujjzjuz. What is prob of picking 1 j and 2 z? 14/95 What is prob of picking 1 x and 2 y when three letters picked without replacement from {y: 8, x: 2, p: 2, h: 2, b: 1}? 8/65 What is prob of picking 1 c and 1 l when two letters picked without replacement from {l: 8, q: 1, c: 10}? 80/171 Two letters picked without replacement from oqqoqqq. What is prob of picking 2 q? 10/21 Two letters picked without replacement from {t: 2, m: 3, g: 1, n: 1}. What is prob of picking 1 t and 1 g? 2/21 Calculate prob of picking 2 g and 1 w when three letters picked without replacement from {j: 5, w: 3, y: 1, e: 3, g: 2, x: 6}. 1/380 Calculate prob of picking 4 s when four letters picked without replacement from {s: 9}. 1 Four letters picked without replacement from bbbbbbbbb. What is prob of picking 4 b? 1 Two letters picked without replacement from {z: 2, c: 1, l: 9, i: 8}. What is prob of picking 1 c and 1 z? 1/95 Three letters picked without replacement from {l: 3, u: 6, d: 4, y: 1, r: 3, w: 1}. What is prob of picking 1 w and 2 u? 5/272 Four letters picked without replacement from oaaioaarxaaaroo. What is prob of picking 2 r, 1 o, and 1 x? 4/1365 Four letters picked without replacement from scssssssc. What is prob of picking 1 s and 3 c? 0 Calculate prob of picking 2 k when two letters picked without replacement from kkkkkkfkfkk. 36/55 Calculate prob of picking 1 d, 1 u, and 2 y when four letters picked without replacement from dddusdsdyysdgqy. 6/455 Four letters picked without replacement from {t: 10, o: 4}. What is prob of picking 1 o and 3 t? 480/1001 What is prob of picking 1 d and 1 s when two letters picked without replacement from {d: 1, s: 3}? 1/2 Calculate prob of picking 2 t when two letters picked without replacement from tlulllluulluulutl. 1/136 Calculate prob of picking 1 j and 1 i when two letters picked without replacement from rjijjrrjqujqqjqqijvj. 8/95 What is prob of picking 1 r and 2 v when three letters picked without replacement from {r: 3, v: 2, a: 5}? 1/40 Calculate prob of picking 1 i and 1 r when two letters picked without replacement from pbrriprrerrrbriir. 27/136 Three letters picked without replacement from xxxxxxxxxxxxxxgqq. What is prob of picking 2 q and 1 g? 1/680 What is prob of picking 2 v when two letters picked without replacement from {g: 2, v: 4, l: 1, m: 1, k: 3, n: 4}? 2/35 Four letters picked without replacement from tttttttmtmmtmttmtm. Give prob of picking 4 m. 1/204 What is prob of picking 1 g and 1 w when two letters picked without replacement from gjoojwwwowwowwooww? 1/17 Four letters picked without replacement from eeeeeepp. Give prob of picking 4 e. 3/14 What is prob of picking 2 h when two letters picked without replacement from {h: 3, f: 1, b: 4}? 3/28 Two letters picked without replacement from sossssss. Give prob of picking 2 s. 3/4 What is prob of picking 1 m, 1 s, 1 g, and 1 w when four letters picked without replacement from mugmgwisu? 2/63 What is prob of picking 2 l and 1 n when three letters picked without replacement from knilldflilnlll? 3/26 Three letters picked without replacement from bbbbbcbb. What is prob of picking 1 c and 2 b? 3/8 What is prob of picking 1 n and 1 r when two letters picked without replacement from ddnrdnnn? 1/7 Four letters picked without replacement from uffffffuffu. What is prob of picking 1 u and 3 f? 28/55 What is prob of picking 1 x, 1 v, and 1 i when three letters picked without replacement from {i: 1, v: 1, x: 1, l: 2}? 1/10 Calculate prob of picking 2 i when two letters picked without replacement from xtaixipt. 1/28 Four letters picked without replacement from {s: 1, b: 4, h: 2}. What is prob of picking 4 b? 1/35 Four letters picked without replacement from {j: 1, k: 2, h: 4, z: 1, p: 3}. Give prob of picking 1 z, 1 p, 1 k, and 1 j. 1/55 Calculate prob of picking 1 n and 1 z when two letters picked without replacement from {k: 1, y: 2, z: 1, n: 1, c: 1, s: 1}. 1/21 Four letters picked without replacement from yymhllmlllllhyyhl. Give prob of picking 1 l, 1 h, and 2 m. 6/595 Four letters picked without replacement from tsdcmsstddchhh. What is prob of picking 1 d, 2 c, and 1 s? 9/1001 What is prob of picking 3 w when three letters picked without replacement from bwbwbbbbbwbbbbwbwbbb? 1/114 Two letters picked without replacement from {t: 16, n: 4}. Give prob of picking 1 t and 1 n. 32/95 What is prob of picking 4 v when four letters picked without replacement from vmmvvmmmmvvmmmmmmmmm? 1/969 Calculate prob of picking 2 k and 1 o when three letters picked without replacement from kkkkkokykykkokkkkzoy. 39/190 Two letters picked without replacement from {v: 2, h: 1, c: 2, x: 1}. What is prob of picking 2 c? 1/15 Calculate prob of picking 1 x, 1 d, and 1 r when three letters picked without replacement from xxxrdkkxkdkkkxxkrk. 1/34 Two letters picked without replacement from {d: 2, n: 8, v: 2, x: 2}. What is prob of picking 1 d and 1 x? 4/91 Four letters picked without replacement from {v: 1, q: 2, p: 3, f: 1, g: 3, n: 2}. What is prob of picking 1 v, 2 q, and 1 f? 1/495 Two letters picked without replacement from {y: 5, u: 14}. What is prob of picking 2 u? 91/171 Four letters picked without replacement from xnviviixvui. Give prob of picking 2 v, 1 x, and 1 i. 4/55 Four letters picked without replacement from egaaeeoaeeegeaaoea. What is prob of picking 3 e and 1 g? 28/765 What is prob of picking 2 t and 1 p when three letters picked without replacement from {t: 3, a: 1, p: 1}? 3/10 What is prob of picking 4 h when four letters picked without replacement from {p: 2, h: 5}? 1/7 Three letters picked without replacement from cyycc. What is prob of picking 2 c and 1 y? 3/5 Three letters picked without replacement from vszzzuszuuuuussmm. Give prob of picking 1 v, 1 m, and 1 z. 1/85 Three letters picked without replacement from {j: 5, t: 8}. What is prob of picking 3 j? 5/143 What is prob of picking 3 b when three letters picked without replacement from iiibiiiih? 0 What is prob of picking 1 t and 1 h when two letters picked without replacement from tppppphhrh? 1/15 Calculate prob of picking 2 w and 1 i when three letters picked without replacement from zzjjbwzibkbw. 1/220 Calculate prob of picking 2 b and 2 f when four letters picked without replacement from fbbfbbbbb. 1/6 Two letters picked without replacement from sgbjgggsgspgpjssss. What is prob of picking 1 g and 1 p? 4/51 What is prob of picking 1 e, 1 y, and 1 s when three letters picked without replacement from yevtqveyvtyyees? 16/455 Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {w: 3, f: 1, i: 4}. 3/7 Calculate prob of picking 2 p when two letters picked without replacement from uytxtxpyvpxp. 1/22 Calculate prob of picking 1 s and 1 o when two letters picked without replacement from {o: 12, s: 6, i: 1}. 8/19 Four letters picked without replacement from jjwwkwwjwjjk. Give prob of picking 1 k and 3 w. 4/99 Calculate prob of picking 3 v when three letters picked without replacement from {c: 5, v: 3}. 1/56 Two letters picked without replacement from {k: 2, i: 4, a: 1, h: 2, d: 1}. What is prob of picking 1 k and 1 i? 8/45 Calculate prob of picking 1 g, 1 b, and 1 d when three letters picked without replacement from {d: 1, k: 1, g: 2, b: 10, q: 4}. 5/204 Three letters picked without replacement from {d: 6, r: 3, b: 4, l: 6}. Give prob of picking 2 d and 1 b. 20/323 What is prob of picking 2 i when two letters picked without replacement from {t: 1, x: 5, f: 3, i: 3}? 1/22 What is prob of picking 1 h, 1 b, and 1 l when three lett
{ "pile_set_name": "DM Mathematics" }
7422 (base 9) to base 14 929d2 94012 (base 11) to base 16 21792 What is 60d68a (base 15) in base 8? 21433405 7655854 (base 9) to base 3 21201212221211 234115 (base 14) to base 9 2231852 What is -1d554 (base 14) in base 5? -4401032 What is 11448 (base 9) in base 7? 31220 Convert -2020101101221 (base 3) to base 2. -100100010001011010101 Convert -34cb20 (base 13) to base 3. -2100211102022 Convert -22554546 (base 7) to base 8. -7433253 -2b98a6 (base 14) to base 15 -201b24 -24231542 (base 6) to base 14 -15d3dc -7631581 (base 10) to base 11 -43427a1 What is 4612423 (base 7) in base 6? 20152454 -21c9c (base 13) to base 16 -f024 Convert 10c6d3 (base 15) to base 5. 201121143 -1000100001100100101000 (base 2) to base 11 -1296a33 What is 25b91 (base 13) in base 9? 116121 11122012001 (base 3) to base 14 25389 2243223443 (base 5) to base 11 294288a What is -1365a69 (base 11) in base 10? -2350500 b3431 (base 12) to base 6 5002501 What is -882653 (base 12) in base 15? -2ca41c What is 209282 (base 10) in base 15? 42022 What is 4150450 (base 6) in base 13? 70689 What is 100201212110111 (base 3) in base 13? 10c208b What is -5636451 (base 7) in base 14? -142828 Convert -44635465 (base 7) to base 11. -220719a 42da0 (base 14) to base 15 32e45 -60a53 (base 12) to base 9 -211650 What is 198443 (base 11) in base 5? 34211444 2c8636 (base 13) to base 2 100001101100001010001 Convert 2608273 (base 9) to base 5. 331020421 What is -1101101110001100000011 (base 2) in base 3? -20202202020102 Convert 122010022000020 (base 3) to base 14. 12cc160 116836 (base 10) to base 8 344144 Convert 1010101110110100 (base 2) to base 8. 125664 What is 306636 (base 8) in base 10? 101790 -2101122001102 (base 3) to base 9 -2348042 -1d95e6 (base 15) to base 16 -161d00 1930b (base 16) to base 15 20889 Convert 162613 (base 8) to base 16. e58b 2512100 (base 7) to base 12 136745 What is 1b151a2 (base 12) in base 11? 327a169 -5c716 (base 15) to base 4 -1020010311 -24a36 (base 15) to base 11 -7aa40 -551566 (base 7) to base 3 -11220121121 What is 33242110 (base 5) in base 3? 112202012010 Convert 22a82 (base 16) to base 10. 141954 Convert 10412025 (base 6) to base 12. 131015 Convert -4a3169 (base 11) to base 15. -10a76d What is -86263 (base 14) in base 6? -10541131 Convert 3002301 (base 5) to base 14. 132b7 What is 1a56985 (base 11) in base 15? 48677e Convert 221221121121 (base 3) to base 10. 510748 1013222021211 (base 4) to base 13 3b7930c Convert -4353120 (base 6) to base 15. -44503 4d879 (base 14) to base 2 101110101000100011 What is 15479a (base 11) in base 16? 3ab98 -8286 (base 9) to base 8 -13670 Convert 13759 (base 12) to base 10. 26997 16366362 (base 9) to base 3 120102020102002 -152972 (base 13) to base 9 -872405 What is -1001010111101001000 (base 2) in base 5? -34311031 What is -a0220 (base 16) in base 8? -2401040 Convert -187a98 (base 12) to base 2. -1101000100101010100 Convert 4093832 (base 10) to base 13. b044b2 Convert 231bb2 (base 14) to base 10. 1195952 Convert 10121020221 (base 3) to base 4. 101103310 Convert 61930 (base 11) to base 3. 11120212102 What is -5515555 (base 6) in base 7? -2223011 What is -116052223 (base 7) in base 14? -d82cba Convert 1222210022021 (base 3) to base 16. 1027ab 12220200201211 (base 3) to base 4 23333121112 Convert -1200221222012 (base 3) to base 11. -568765 What is -1024409 (base 12) in base 6? -145014413 What is 1d9d9 (base 14) in base 8? 224413 Convert -2417 (base 14) to base 11. -4801 Convert -32313324 (base 5) to base 10. -276089 Convert 357c87 (base 14) to base 4. 12332012133 -2aabeb (base 15) to base 2 -111110111010010000110 4122a53 (base 11) to base 12 253130b -70122 (base 13) to base 9 -334460 Convert 1499aa (base 13) to base 2. 1111011110001011011 -a3062 (base 13) to base 3 -112211221020 What is 12110034 (base 6) in base 5? 44213332 What is 110320131232 (base 4) in base 6? 313155154 What is b69749 (base 14) in base 3? 102121121100021 What is 1174641 (base 9) in base 2? 10011100001101110000 -474a26 (base 11) to base 16 -b7e65 -716713 (base 8) to base 10 -237003 What is -1100100000101101000 (base 2) in base 15? -8170a -10100101100111001 (base 2) to base 3 -11022022111 -106ee (base 16) to base 12 -32b52 What is 3734012 (base 8) in base 16? fb80a -15a2559 (base 11) to base 12 -ab5a51 -100121002120011 (base 3) to base 14 -96a72c What is -11110210121 (base 3) in base 11? -60188 What is -49d818 (base 16) in base 15? -658d9d Convert -7b3a9 (base 16) to base 11. -31524a What is 1e474 (base 16) in base 11? 851a6 Convert -2271a (base 11) to base 10. -32812 Convert 44004012 (base 5) to base 13. 101bc2 Convert 1300103020 (base 4) to base 9. 770864 Convert 112a2d5 (base 15) to base 8. 56673322 -746935 (base 10) to base 5 -142400220 What is -212957 (base 11) in base 6? -11144352 What is -4145355 (base 6) in base 13? -70529 Convert 2224ef (base 16) to base 15. 2e3039 45311144 (base 6) to base 15 1c341d What is 111441410 (base 5) in base 3? 221101022220 219017 (base 14) to base 13 30b447 2b795 (base 12) to base 3 10010111112 -27122 (base 15) to base 9 -210575 2429823 (base 11) to base 15 588320 -12145135 (base 7) to base 11 -682790 What is 414020011 (base 5) in base 8? 6400675 What is -23301200 (base 4) in base 7? -260411 Convert 1381665 (base 9) to base 16. ba1ee -102130341 (base 5) to base 16 -683db 12010501 (base 6) to base 12 160a31 What is 124aa00 (base 13) in base 8? 25613043 Convert 2112000222012 (base 3) to base 15. 1b6bbb -104213552 (base 6) to base 3 -10112201021212 Convert -431011125 (base 6) to base 3. -112022110010222 Convert 431142403 (base 5) to base 2. 110111011111101101110 Convert -120222211010 (base 3) to base 8. -1146654 What is -140424 (base 8) in base 12? -24730 What is -1358193 (base 11) in base 5? -1044320130 -1440e0 (base 15) to base 13 -282090 11639 (base 11) to base 2 100000101100100 What is 5873a (base 14) in base 9? 357485 Convert -529741 (base 11) to base 12. -34a494 -333644 (base 9) to base 5 -22341133 What is -3048 (base 11) in base 15? -12ea 2a1299 (base 11) to base 13 136029 What is -c05c8 (base 15) in base 10? -608813 -10021133311 (base 4) to base 7 -12146326 What is -97956 (base 11) in base 6? -3014300 Convert 120212312202 (base 4) to base 11. 3706477 Convert 554464 (base 8) to base 5. 21433201 -31525555 (base 7) to base 2 -1010001110000101001011 What is -32a0b6 (base 15) in base 13? -6665b2 -14886264 (base 9) to base 2 -11100010111111101111111 What is 176629 (base 10) in base 15? 37504 -499397 (base 11) to base 9 -1431453 Convert -739227 (base 10) to base 3. -1101120000210 Convert -b5486c (base 13) to base 14. -7c4294 What is 1341164 (base 8) in base 12? 162530 Convert 53078b (base 13) to base 16. 1da796 Convert 623854 (base 10) to base 15. c4ca4 104555 (base 11) to base 5 20321130 Convert -112112102020001 (base 3) to base 13. -17a5887 Convert -417012 (base 8) to base 5. -13420022 What is 916949 (base 10) in base 4? 3133313111 -446556 (base 9) to base 7 -2162133 19a975 (base 14) to base 10 912875 -4787b (base 13) to base 16 -20005 Convert 10004410204 (base 5) to base 9. 20458652 What is a52051 (base 16) in base 15? e3b678 What is -20ba710 (base 12) in base 11? -3567a49 -1c523d (base 14) to base 10 -1012983 Convert -45284 (base 14) to base 7. -1266324 What is 432545 (base 8) in base 3? 21100112210 1010101111010011111 (base 2) to base 11 220432 Convert 37656 (base 11) to base 9. 82100 Convert -20321022032 (base 4) to base 9. -4342818 Convert 188f2 (base 16) to base 3. 12002222201 What is -257321 (base 8) in base 4? -111323101 -400224 (base 8) to base 10 -131220 Convert 114801 (base 9) to base 2. 10000111000110111 What is -20331422 (base 5) in base 2? -101000111100111001 Convert 600147 (base 9) to base 16. 56872 What is -11001110111101100 (base 2) in base 15? -215e4 What is 797dd1 (base 15) in base 2? 10110000111100001101100 What is -1000633 (base 9) in base 6? -15222433 What is -4442033 (base 5) in base 8? -227710 What is 2230302032 (base 4) in base 8? 2546216 What is 121324320 (base 6) in base 11? 133a911 Convert 144021001 (base 5) to base 6. 24234533 Convert -776476 (base 11) to base 8. -4562575 Convert 101111101111100011 (base 2) to base 13. 6b019 What is -37c2c (base 16) in base 3? -102121022010 What is -14034176 (base 8) in
{ "pile_set_name": "DM Mathematics" }
+ 152, g = -4*a + 56. Suppose 0 = 4*x + 4*v - 24, 2*x - 66 = -3*x + 4*v. Suppose 11*w - g = x*w. Is 7 a factor of w? False Suppose -15*y = -17*y + 280. Let l = -80 + y. Is 20 a factor of l? True Suppose -3*y + 24*y = 5313. Does 17 divide y? False Let c(u) = u**3 + 3*u + 3. Let o be c(-2). Let t(b) = -b**3 - 10*b**2 + 13*b + 12. Let i be t(o). Is 37 a factor of (-8)/(-20) - 656/i? False Suppose 0 = -4*b + 5*d + 159 + 96, -d = -b + 63. Is 20 a factor of b? True Suppose -4*z - s - 91 + 58 = 0, 2*z + 12 = 4*s. Let c = -82 - -146. Let x = z + c. Is 22 a factor of x? False Let i(w) = 2*w - 5. Let q be i(6). Let z be (-13 + q)*4/(-6). Suppose 5*p - 44 = -z. Is p a multiple of 4? True Let k(p) = 12*p + 13. Let c be k(8). Let z = c + -45. Is z a multiple of 8? True Let x(w) = -7*w - 171. Is 2 a factor of x(-34)? False Suppose 8*x - 7074 - 18846 = 0. Is 162 a factor of x? True Does 2 divide (306/81)/(2/18)? True Let r = 123 - -189. Is r a multiple of 39? True Let c(z) = z**2 - 2*z - 2. Let o be 290/(-35) - (-2)/7. Is 22 a factor of c(o)? False Suppose 251 = 5*j - m - m, 3*j - 147 = 3*m. Let g be (-16)/136 - (-4902)/j. Suppose g + 49 = 5*h + 2*z, -3*h + z + 87 = 0. Is h a multiple of 10? False Suppose 61*v = 56*v + 630. Is v a multiple of 6? True Let r = 87 + -84. Suppose r*d = -5*x + 39, 3*x - 2*d - 37 = 3*d. Is x even? False Let g be (28/(-8) + 5)*216. Suppose 2207 = 7*v + g. Does 15 divide v? False Let p(c) = 26*c**3 - 2*c**2 - 2*c. Let l be p(2). Suppose 4*h = 3*z - l, h + 20 = 2*z - 114. Suppose -3*t - 20 = -z. Does 16 divide t? True Suppose 4*h - 1522 = o + o, 3*o = 2*h - 759. Is 25 a factor of h? False Let f = 188 - 62. Is 3 a factor of f? True Suppose 3*j = 8*j - 400. Let g = -50 + j. Is 20 a factor of g? False Let p = 3 + 0. Let r be (2 + 41)/(p/3). Suppose 62 = 5*c - r. Is 7 a factor of c? True Let h(y) = y**2 - 14*y + 55. Does 19 divide h(-38)? False Suppose 3*z = 2*z. Let i(d) = d + 3. Let c be i(z). Suppose -c*x = -b + 8, -x = -b + 5 + 1. Is b a multiple of 5? True Let g(n) = 6*n**2 + 12*n + 44. Is 4 a factor of g(-6)? True Is 22 a factor of 5256/48 - (-1)/2? True Let t(h) = 0 - 43*h - 25*h - 2. Let w be -4*3/10 + 1/5. Is 17 a factor of t(w)? False Suppose 291 = -4*b + 711. Suppose -h - 2*p = p - 40, b = 4*h + p. Does 11 divide h? False Suppose -125*l = -32*l - 210552. Is 56 a factor of l? False Is 3 a factor of (((-1220)/50)/(-2))/((-1)/(-5))? False Let f(t) = 43*t - 131. Does 19 divide f(11)? True Is 21 a factor of (-9*8/24)/(6/(-1502))? False Let v = -56 + 166. Does 10 divide v? True Let d(v) = 2 - 1 + 28*v**3 - 6*v**2 - 29*v**3 - 6*v. Let r be d(-5). Suppose 140 = -r*y + 11*y. Does 14 divide y? True Suppose 328 = y - 4*f, -y + 313 = -5*f + 4*f. Is y a multiple of 34? False Let d be 5/2 - (-8)/16. Let v(i) = 3*i**2 - 2*i + 1. Let k be v(d). Suppose -65 = -n - k. Is 11 a factor of n? False Suppose 0 = -0*v + 4*v + 344. Let u = -49 - v. Is 14 a factor of u? False Let j be (-45)/6*7/((-84)/8). Suppose 0 = 4*f + j*i - 600, f - 3*i = i + 150. Is f a multiple of 10? True Let r = 82 + -80. Suppose r*q + 72 = 5*s - 915, 0 = -2*s - 2*q + 406. Is 27 a factor of s? False Let k = 119 + 11. Suppose x + 2*o = 6*o + 47, k = 5*x + o. Does 3 divide x? True Let m be 3/(-2)*40/(-12). Let x be (-1)/m + (-63)/(-15). Does 23 divide ((-16)/12)/(x/(-222))? False Let h(c) = 4 + 7 - 3*c**3 + 7*c**2 + 4*c**3 + 5*c. Is 18 a factor of h(-5)? True Let h(l) = 3*l**3 - 1. Let v be h(1). Suppose 0 = -v*y - 2*y + 264. Does 11 divide y? True Suppose -684 = -63*r + 51*r. Let d(i) = 3*i**2 + 5*i + 7. Let q be d(-6). Suppose -5*z + 2*f = -r, 3*z + 5*f - q = -2*z. Is z a multiple of 2? False Suppose -565 = -3*l + 8*l. Let n = l - -200. Is 18 a factor of n? False Let l(w) be the second derivative of -w**5/20 - 7*w**4/12 + w**3/6 - 2*w**2 - 17*w. Is l(-8) a multiple of 10? False Suppose 0 = -3*l - 9, 1 - 5 = 2*m + 4*l. Suppose -4*r = m*j - 408, 2*r = r + 5*j + 126. Suppose 3*c - k - r = 86, -3*c = 3*k - 180. Is c a multiple of 20? False Suppose -2*o + 2 = 0, -3*v = 2*v + 4*o - 29. Suppose 4*h - 5*r = -h + 110, 2*h = -v*r + 16. Is h a multiple of 9? True Suppose 3*r + 1369 = 4*s, 5*s = 4*s + 5*r + 355. Does 24 divide s? False Suppose 4*x = 100 + 72. Let s = -28 + x. Is 24 a factor of (-108)/(1 - s/6)? True Suppose -7*o + 4755 = -3197. Does 16 divide o? True Let g(j) = 8*j + 486. Let q be g(0). Suppose 9*b = -0*b + q. Is b a multiple of 6? True Suppose 11*b + 1 = 12. Suppose b = -v + 66. Does 5 divide v? True Let n be 34/(-4) + 3/6. Let y = 10 - n. Suppose -3*l + 0 = -y. Is l even? True Let k(u) = 6*u**2 - 7*u + 1. Is k(-3) a multiple of 19? True Let t(l) = -28*l - 64. Does 6 divide t(-4)? True Let m(v) = -19*v - 27. Is m(-14) a multiple of 15? False Suppose 2*a - 15 = -2*p + 5, -55 = -2*p + 5*a. Let r(x) = 42*x + 0 - 21*x - 3 - 12*x. Does 33 divide r(p)? True Let x = -20 + 6. Let t = 20 + x. Let j(o) = 6*o - 8. Is 23 a factor of j(t)? False Let u(r) = -r**3 + 2*r**2 + 5*r + 2. Let z be u(-3). Suppose -4*q = -8*q + z. Is 14 a factor of 457/7 - q/28? False Let r(c) = c + 27. Let q(v) = v + 14. Let u(j) = -5*q(j) + 3*r(j). Suppose -3*w - x = -0*w + 33, -55 = 5*w - 4*x. Is u(w) a multiple of 11? True Let c(w) = -w**3 - 2*w**2. Let r be c(-2). Suppose -f - l - 4*l + 12 = r, l = 4*f - 90. Does 5 divide f? False Let v = 755 + -432. Is v a multiple of 12? False Let t be (4/2)/(-1) + 4. Suppose 3 = -t*s + 9. Suppose -4*z + 5*p = -272, 0 = 2*z - s*z - 2*p + 68. Does 17 divide z? True Suppose -4*t + 424 + 200 = 0. Suppose t = 4*b + 5*c - 4*c, 0 = -4*c. Is b a multiple of 7? False Suppose -7*t + 26 + 2 = 0. Let z = -25 + 66. Suppose -z = -t*b + 11. Is b even? False Let s(m) = -m**3 - 2*m**2 - 2*m. Let j be s(-2). Suppose 5*a = -5*b - 485, j*a - 13 = 5*b + 427. Is 6 a factor of b/(-8) + (-1)/(-2)? True Let a(u) = -4*u - 2*u + 3*u - 5*u - 23. Is a(-11) a multiple of 24? False Suppose -253*q + 258*q - 7035 = 0. Is 14 a factor of q? False Let v be -6 + 13 - 6/(-2). Suppose -2*w + 5*u + 30 = 0, 2*u = w - v - 6. Suppose -4*r - w = -5*n, -4*n + 3 + 13 = r. Is 4 a factor of n? True Suppose -7*v = 4*v - 638. Is v a multiple of 29? True Suppose 2*c + z + 2*z = 6, 3*c + 25 = 4*z. Let l be ((-9)/c - 37) + -1. Let m = 54 + l. Is 5 a factor of m? False Suppose 5*w = 17 - 7. Suppose -3*g - 9 = 2*s, -w*g - g - 15 = 0. Suppose -s*u + 3*b + b = -1, -1 = 3*u - 5*b. Is u a multiple of 2? False Let m = 204 - 36. Suppose -m = -4*b + 4*c, -c = 4*b + 2*c - 154. Is b a multiple of 5? True Let z(q) = -7 - 2 + 3*q**2 - 2*q**2 - 6*q. Let n be 30/40 + (-3)/(-12) - -9. Is 8 a factor of z(n)? False Suppose 14 = 5*w + 3*a, -4*w + 8*a + 26 = 3*a. Is (w/(-10) + -2)/(6/(-280)) a multiple of 28? True Suppose -12 - 2 = -2*o. Suppose 4*h = o*h - 159. Suppose 5*n - 3*q - 47 = 0, n - 6*n - 3*q = -h. Is n a multiple of 4? False Suppose 1947 = p + 502. Suppose -24 + p = 7*b. Is b a multiple of 29? True Is 59 a factor of 1*(-559 + -6)*-1? False Let m = 7 - 15. Let k be (25 - m/4) + 1. Suppose k = 4*q - 28. Is 7 a factor of q? True Let x(o) = -6*o + 51. Let q be x(11). Is 43 a factor of (2 - (-782)/(-4))*10/q? True Let p = 8 - 14. Let m = p - -4. Is 10 a factor of (-136)/(-4) + 2 + m? False Suppose y - 10 = -0*o + 2*o, 0 = -2*o - 8. Suppose 0*l + y*l - 14 = -5*a, -10 = -2*l - 3*a. Suppose l*p - 59 = p. Is p a multiple of 12? False Let x = 30 - 17. Let h = x + -12. Is 17 a factor of 68/(-16)*-4*h? True Let h = -626 - -774. Is h a multiple of 5? False Suppose 0 = -6*q + 2*q + 20. Suppose -q*s = -2*r + 27 + 31, -5*s = 20. Let m = r + -3. Is 8 a factor of m? True Is ((-60)/8 - -2)*-50 a multiple of 11? True Let y = 15 - -188. Does 14 divide y? False Let k(r) = -139*r**3 + r**2 - r - 1. Let l(u) = 2*u + 9. Let q be l(-5). Let v be k(q). Suppose 5*i - v = -0*i. Is i a multiple of 14? True Let x be -1 - -4 - (2 - 6). Suppose x*k - 8*k + 45 = 0. Suppose -10 = -2*m + 4*t, 0*m + 2*m - k = -3*t. Does 15 divide m? True Suppose 2*g = -3*g + 10. Suppose w - 6*q = -g*q + 195, 5*w - q - 937 = 0. Is 32 a factor of w? False Let b(l) = 21*l - 1. Let o(r) = 12*r + 2 + r**2 - 1 - 18*r. Let q be o(6). Does 14 divide b(q)? False Let x(o) = 8*o**3 - o**2 - 2*o - 1. Let y be x(-1). Let f = -4 - y. Suppose -4*m - f*q = -120, -16 - 8 = -m + q. Is m a mult
{ "pile_set_name": "DM Mathematics" }
134 In base 10, what is 585556 + 5? 585561 In base 8, what is 3347 + 1435? 5004 In base 8, what is 257402277 + 11? 257402310 In base 3, what is -2211 + -22110022202020? -22110022212001 In base 5, what is 11411 - -2342034? 2404000 In base 11, what is 5 + -6723871? -6723867 In base 7, what is 5 + -3506425? -3506420 In base 14, what is 7b9 - -2d6d3? 300ac In base 5, what is 14421 - 222433? -203012 In base 10, what is -57 + 11834? 11777 In base 16, what is -476a + 80? -46ea In base 7, what is 13364124 + -331? 13363463 In base 12, what is 3640 - -18065? 1b6a5 In base 11, what is 442 - 3632? -31a0 In base 11, what is -734632 + 633? -733aaa In base 11, what is 371aa0 - -103? 3720a3 In base 10, what is -18 + -6850756? -6850774 In base 15, what is -22 - -190142? 190120 In base 10, what is -8066 + -11219? -19285 In base 8, what is -21140115 + 5? -21140110 In base 16, what is 19b8 - 145a? 55e In base 16, what is -5 - 2be2830? -2be2835 In base 12, what is -544 + -1673? -1bb7 In base 16, what is -9c6 + 4c8? -4fe In base 2, what is -1001 + 101000011110010? 101000011101001 In base 12, what is 1a8050 + 29? 1a8079 In base 13, what is -1a3b97 + -30? -1a3bc7 In base 15, what is 5 - d8861? -d885b In base 14, what is -335a43 + 8? -335a39 In base 13, what is -586b85 + 27? -586b5b In base 15, what is 321 - -21c565? 21c886 In base 13, what is -38212967 - -3? -38212964 In base 8, what is -71320 - 416? -71736 In base 6, what is 21 + 1013441? 1013502 In base 2, what is 1001011001010 - 1001000111011? 10001111 In base 2, what is 100011110 - -1110011001011010010? 1110011001111110000 In base 16, what is 2a19cf4 - -3? 2a19cf7 In base 9, what is 128802216 + 5? 128802222 In base 2, what is -10010101011 + -101110001010010000101? -101110001100100110000 In base 3, what is 1112021220 + -1112121? 1110202022 In base 16, what is -439b57a + -4? -439b57e In base 4, what is -3 + -20330213232? -20330213301 In base 5, what is -340400010 + -1021? -340401031 In base 15, what is -43302b - 1? -43302c In base 6, what is 4 - 11154410532? -11154410524 In base 2, what is -11101110001001100010 - -1011001011? -11101101111110010111 In base 4, what is 10101122 + 10013? 10111201 In base 16, what is -238 - 1242? -147a In base 9, what is -5 + 112435463? 112435457 In base 10, what is 134157 - -395? 134552 In base 11, what is 5 + 2429317? 2429321 In base 6, what is 304111 + -14035? 250032 In base 5, what is -24340212122 + 4? -24340212113 In base 4, what is -221023 + 32103301? 31222212 In base 15, what is a5 + -2398? -22e3 In base 4, what is 10 - -113002233101311? 113002233101321 In base 12, what is -96915 - 3a? -96953 In base 6, what is 5451 + 2053250? 2103141 In base 3, what is -2012211202 + -22222112? -2112211021 In base 2, what is -1001011010 + 11000000100111? 10110111001101 In base 11, what is -7282722 + 3? -728271a In base 12, what is 43b2 - 478? 3b36 In base 13, what is -859902 - -20b? -8596c4 In base 9, what is -35632 - 72? -35714 In base 15, what is 3b376 - -15? 3b38b In base 9, what is -78 - 3656027? -3656116 In base 15, what is be31c4 - -3? be31c7 In base 4, what is 101332122110 - -2? 101332122112 In base 3, what is 11 - 12110221111000? -12110221110212 In base 16, what is 38c - -b3da? b766 In base 9, what is 1 - 110417848? -110417847 In base 2, what is -1111000010100111 - -10100? -1111000010010011 In base 5, what is -13230313 - 40? -13230403 In base 12, what is -195 + b7868? b7693 In base 9, what is 4026 - 31436? -26410 In base 11, what is 273 - 303354? -303091 In base 10, what is -23 + -1701679? -1701702 In base 10, what is 736 - 124746? -124010 In base 12, what is -4 + -6a9a752? -6a9a756 In base 2, what is 101 - -1001100011111001110010? 1001100011111001110111 In base 2, what is 1101110001 + -11011110100100? -11010000110011 In base 11, what is -31 + -10a1a18? -10a1a49 In base 16, what is -4 - -56a716c? 56a7168 In base 5, what is 303011303 + -11? 303011242 In base 3, what is -1022 + -221211111112? -221211112211 In base 6, what is 230042 + 45540? 320022 In base 12, what is 55 - 26a261? -26a208 In base 6, what is -3031153 + -413? -3032010 In base 10, what is 96 + -342683? -342587 In base 7, what is -1 - 3411241? -3411242 In base 14, what is 45b4 + -6367? -1b93 In base 5, what is -123100233 - 21? -123100304 In base 5, what is 11312121122 - 10? 11312121112 In base 13, what is -4 + 3c92950? 3c92949 In base 9, what is 107 - 174733? -174625 In base 11, what is 307a4 + -5795? 2600a In base 8, what is -140161 + 354? -137605 In base 2, what is -10000101010011111 + 110? -10000101010011001 In base 6, what is 15215525 + 1301? 15221230 In base 5, what is -21224 - -404330? 333101 In base 2, what is 1101010 - -10010000011110111? 10010000101100001 In base 12, what is -734b3 + -a2? -73595 In base 14, what is 6c97d2 + -12? 6c97c0 In base 2, what is 1000011010001011 - -111001011100? 1001010011100111 In base 12, what is 58872 + -60? 58812 In base 11, what is -527 + -a707? -10133 In base 2, what is -1 - -110010000011110110011001? 110010000011110110011000 In base 9, what is 608353 + -2476? 605766 In base 16, what is 4 - -df38a? df38e In base 3, what is 210011211012112 - 11? 210011211012101 In base 4, what is -102 - 10022210? -10022312 In base 15, what is 254 - -4e31c? 4e571 In base 14, what is -167c0c + 4? -167c08 In base 11, what is -2302 - -1? -2301 In base 16, what is 3 + 11e55b? 11e55e In base 7, what is 55 + -13336104? -13336016 In base 2, what is -1001000010001100000101010 + -110? -1001000010001100000110000 In base 15, what is -7703 + -e12? -8615 In base 4, what is 312202 - -13331130? 20303332 In base 12, what is -362 - -a216? 9a74 In base 16, what is b - -22bc92? 22bc9d In base 11, what is 5 + 228061? 228066 In base 10, what is 986 + -1039? -53 In base 9, what is 1001306 - -14? 1001321 In base 3, what is -20002110 + -2220020000? -10010022110 In base 4, what is -201021021121 + 102? -201021021013 In base 11, what is -15a90 + 2aa? -15791 In base 4, what is 32320303201 - -3? 32320303210 In base 7, what is -50214 - 4531? -55045 In base 2, what is -11110010101111 + -111001101? -11111001111100 In base 9, what is 3087 + -7504? -4406 In base 6, what is -3514004 + 320? -3513244 In base 7, what is 2256026144 + 3? 2256026150 In base 5, what is -300314 - -103022? -142242 In base 12, what is 78384b + -6? 783845 In base 3, what is -1221111201 - 221212100? -2220101001 In base 4, what is 2230200303011 + 3? 2230200303020 In base 8, what is 1 - -2443344476? 2443344477 In base 12, what is 2867 + -9a93? -7228 In base 14, what is 1719804d + 4? 17198053 In base 5, what is 30000 + -224424304? -224344304 In base 5, what is -1242340 + 22000? -1220340 In base 3, what is 1202202 - 10002220110? -10001010201 In base 16, what is -46 + -26629? -2666f In base 13, what is -254208 + -247? -254452 In base 9, what is 0 - 478723366? -478723366 In base 9, what is 4 - 42331758? -42331754 In base 6, what is 4100232 + 21114? 4121350 In base 5, what is -23 - 10040113003? -10040113031 In base 13, what is 205b - -4324? 6382 In base 12, what is 12 - 6211b1? -62119b In base 9, what is 24438 - -1143? 25582 In base 8, what is 523235 - -232? 523467 In base 10, what is 533353489 + 4? 533353493 In base 5, what is 14130414 + -11? 14130403 In base 14, what is -249 + -2b8127? -2b8372 In base 13, what is 23 - -11b258? 11b27b In base 14, what is 3770dd14 - -3? 3770dd17 In base 7, what is 1242234 + 305? 1242542 In base 9, what is -1732 + 131250? 128417 In base 16, what is 305 - 50c5? -4dc0 In base 14, what is -aa9a3 + -5? -aa9a8 In base 2, what is 10000010001001001100 + -100101010? 10000010000100100010 In base 8, what is -40163 + -102422? -142605 In base 2, what is -10000111010101000101000010 + -10101? -10000111010101000101010111 In base 10, what is 4267 + 4269? 8536 In base 11, what is 19 + -2943038? -294301a In base 13, what is 1358a47 + -95? 1358982 In base 14, what is -22707d + -4? -227083 In base 8, what is 130 + -172121? -171771 In base 4, what is 122 - -2302220? 2303002 In base 13, what is 359a08506 + -1? 359a08505 In base 6, what is -3 - 53134452254? -53134452301 In base 15, what is 452411 + -1? 452410 In base 15, what is 3 - -dae59b8? dae59bb In base 13, what is 0 + 12b5428? 12b5428 In base 2, what is -10010111 - 11001110101001011? -11001110111100010 In
{ "pile_set_name": "DM Mathematics" }
he common denominator of -25/196 and 27/112? 784 What is the lowest common multiple of 90 and 9? 90 Calculate the smallest common multiple of 5 and 7460. 7460 Calculate the common denominator of -49/153 and -38/63. 1071 What is the common denominator of -63/46 and -167/2346? 2346 Find the common denominator of -29/80 and 133/110. 880 Find the common denominator of 131/126 and 145/72. 504 What is the lowest common multiple of 16530 and 1520? 132240 Find the common denominator of -53/6 and -83/220. 660 What is the smallest common multiple of 16 and 92? 368 What is the smallest common multiple of 24 and 348? 696 What is the common denominator of -16/25 and -3/7? 175 Find the common denominator of 63/625 and 37/1875. 1875 Calculate the lowest common multiple of 11 and 12051. 132561 Calculate the common denominator of 53/225 and 53/30. 450 What is the common denominator of 45/112 and -51/182? 1456 Find the common denominator of 65/36 and -61/38. 684 What is the common denominator of -107/322 and 50/17? 5474 What is the common denominator of 77/30 and 63/215? 1290 What is the common denominator of -41/87 and -44/9? 261 Calculate the least common multiple of 1384 and 2768. 2768 Find the common denominator of -59/760 and -7/1520. 1520 Calculate the common denominator of -7/12 and -169/7320. 7320 What is the common denominator of -121/432 and 163/378? 3024 Calculate the lowest common multiple of 944 and 16. 944 Calculate the common denominator of -97/1218 and 191/210. 6090 What is the smallest common multiple of 24 and 60? 120 What is the common denominator of 29/17 and -3/305? 5185 Calculate the common denominator of -67/4815 and -173/30. 9630 Calculate the common denominator of 173/30 and -49/96. 480 Calculate the common denominator of 73/16 and -23/22. 176 Calculate the lowest common multiple of 1352 and 884. 22984 What is the lowest common multiple of 36 and 56? 504 Find the common denominator of 101/30 and 27/20. 60 What is the lowest common multiple of 52 and 4? 52 Calculate the least common multiple of 1186 and 4. 2372 Calculate the smallest common multiple of 3 and 69. 69 What is the smallest common multiple of 3784 and 44? 3784 Calculate the common denominator of 1/17 and 12/155. 2635 What is the lowest common multiple of 4 and 15? 60 What is the smallest common multiple of 36 and 64? 576 Calculate the least common multiple of 3 and 36. 36 What is the least common multiple of 6 and 52? 156 Find the common denominator of -173/1344 and 25/1512. 12096 Calculate the lowest common multiple of 558 and 62. 558 Calculate the least common multiple of 583 and 1537. 16907 Calculate the common denominator of 29/18 and 7/48. 144 Calculate the smallest common multiple of 6 and 61. 366 Calculate the common denominator of 1/1845 and -17/6. 3690 Calculate the lowest common multiple of 29 and 110. 3190 Find the common denominator of 51/97 and -37/20. 1940 Find the common denominator of 53/4 and -61/310. 620 Calculate the common denominator of 131/60 and -31/1074. 10740 Calculate the lowest common multiple of 36 and 52. 468 What is the common denominator of -121/126 and 49/99? 1386 Calculate the common denominator of -69/52 and -83/28. 364 What is the smallest common multiple of 162 and 522? 4698 Calculate the lowest common multiple of 9 and 70. 630 Calculate the lowest common multiple of 240 and 40. 240 Find the common denominator of -93/110 and 8/575. 12650 Calculate the least common multiple of 4671 and 1557. 4671 What is the common denominator of 97/4 and 29/68? 68 What is the smallest common multiple of 165 and 165? 165 Calculate the least common multiple of 1848 and 2156. 12936 What is the lowest common multiple of 190 and 90? 1710 What is the lowest common multiple of 440 and 1408? 7040 Find the common denominator of -5/602 and -53/10. 3010 Calculate the lowest common multiple of 30 and 90. 90 What is the lowest common multiple of 430 and 150? 6450 Find the common denominator of 49/103 and -85/4. 412 What is the lowest common multiple of 1124 and 8? 2248 What is the smallest common multiple of 128 and 36? 1152 What is the lowest common multiple of 118 and 472? 472 What is the smallest common multiple of 448 and 280? 2240 Calculate the smallest common multiple of 180 and 15. 180 What is the smallest common multiple of 781 and 4? 3124 What is the smallest common multiple of 8 and 56? 56 What is the lowest common multiple of 6937 and 10901? 76307 Calculate the common denominator of 83/45 and -115/576. 2880 What is the smallest common multiple of 63 and 105? 315 Find the common denominator of -4/275 and -101/24. 6600 Calculate the lowest common multiple of 14 and 434. 434 Calculate the common denominator of -45/1106 and -34. 1106 Calculate the common denominator of 43/9414 and 55/12. 18828 What is the common denominator of -67/80 and 99/340? 1360 Calculate the common denominator of 157/60 and -13/210. 420 Find the common denominator of 53/44 and -67/152. 1672 What is the least common multiple of 105 and 60? 420 What is the smallest common multiple of 26 and 1170? 1170 What is the smallest common multiple of 270 and 243? 2430 Calculate the lowest common multiple of 728 and 1092. 2184 What is the smallest common multiple of 11 and 10? 110 Find the common denominator of 39/850 and 131/680. 3400 Calculate the least common multiple of 130 and 22. 1430 Calculate the common denominator of 1/48 and -31/3520. 10560 What is the lowest common multiple of 204 and 408? 408 What is the lowest common multiple of 1670 and 1503? 15030 What is the lowest common multiple of 95 and 10? 190 Calculate the smallest common multiple of 909 and 30. 9090 Calculate the lowest common multiple of 870 and 1595. 9570 What is the common denominator of -53/2952 and -45/2? 2952 Find the common denominator of 107/7392 and -31/1848. 7392 Find the common denominator of 47/128 and 123/100. 3200 Find the common denominator of -1/16 and 125/336. 336 Calculate the smallest common multiple of 1995 and 15. 1995 Calculate the common denominator of -2/1843 and -19/679. 12901 What is the least common multiple of 268 and 2? 268 What is the least common multiple of 336 and 64? 1344 Calculate the least common multiple of 9 and 1005. 3015 What is the common denominator of 73/10737 and -47/12? 42948 Calculate the smallest common multiple of 10 and 10. 10 Calculate the common denominator of -95/118 and -13/16. 944 Calculate the lowest common multiple of 24 and 459. 3672 What is the common denominator of 1/14 and 125/84? 84 What is the smallest common multiple of 1994 and 1994? 1994 Calculate the common denominator of -107/572 and 125/156. 1716 What is the lowest common multiple of 20 and 158? 1580 Calculate the common denominator of 1/2115 and -50/987. 14805 What is the smallest common multiple of 1099 and 21? 3297 What is the smallest common multiple of 6 and 20? 60 Calculate the smallest common multiple of 9862 and 16. 78896 Calculate the smallest common multiple of 100 and 170. 1700 Calculate the smallest common multiple of 56 and 11. 616 What is the least common multiple of 20 and 155? 620 Calculate the least common multiple of 88 and 124. 2728 What is the common denominator of 20/171 and -151/18? 342 Calculate the least common multiple of 165 and 255. 2805 What is the lowest common multiple of 9 and 4240? 38160 Find the common denominator of -57/10 and -103/20. 20 Calculate the lowest common multiple of 34 and 68. 68 What is the common denominator of 75/316 and 19/10? 1580 What is the lowest common multiple of 3 and 663? 663 What is the common denominator of -115/532 and -48/3059? 12236 Find the common denominator of -9/14 and 143/70. 70 Find the common denominator of -23/12 and -71/105. 420 Find the common denominator of 31/1800 and -1/400. 3600 What is the common denominator of 77/18 and -75/86? 774 Calculate the common denominator of 55/721 and -22/91. 9373 What is the least common multiple of 30 and 108? 540 What is the lowest common multiple of 246 and 7? 1722 Find the common denominator of 79/2340 and -163/936. 4680 Calculate the least common multiple of 828 and 736. 6624 Calculate the common denominator of -91/186 and 43/651. 1302 Find the common denominator of -83/60 and -101/150. 300 Calculat
{ "pile_set_name": "DM Mathematics" }
- 20 = -f, 3*h = -3*f + 15. Solve s = -f*b + 15, -5*s = b + r*b - 9 for s. 0 Let d = -3 + 14. Let x(r) = 2*r - 2. Let u be x(3). Solve 4*q - 4*k = -5*k - 9, -3*k - d = -u*q for q. -1 Let f be 11/(-22) - (-25)/2. Solve -4 = 2*b, -4*b + 1 - f = -3*r for r. 1 Suppose -5*f + n + 39 = 0, -4 - 4 = -4*f - 5*n. Let a = -4 + f. Suppose 2*i + 5*y - 6 - 7 = 0, 0 = 2*i - 3*y - 5. Solve i*s + 5*r = 1, r - a*r = -3*s - 5 for s. -1 Suppose -5*t + 38 - 28 = 0. Suppose 42 = 4*v - v. Let k be (-4)/(-14) - (-52)/v. Solve k*m - 3*m - z = 1, -4*m + t = -5*z for m. 3 Suppose 0 = -5*r + 5*f + 10, 0 = 3*f + 2*f. Solve 2*y - v = -2*v - 1, 0 = -r*y + 4*v - 26 for y. -3 Let b(s) = 5*s - 6. Let m(r) = -r + 1. Let n(x) = b(x) + 4*m(x). Let g be n(7). Solve 5*c - g = -5*k, -k - 4*c = -2*k + 21 for k. 5 Let d be (26/(-65))/((-1)/(-55)). Let r = -19 - d. Solve -r*m - u + 8 = 0, 10 = -5*m + 2*u + u for m. 1 Let p be (12/15)/(62/20 + -3). Solve 3*w - 2*z + 12 = -w, -w = -3*z + p for w. -2 Let u(q) = -q**3 + 6*q**2 - 6*q + 6. Let t be u(5). Suppose -d = -1 - t. Solve 0 = 3*j - 5*x - 3, -d*j - 5*x = 12 + 11 for j. -4 Let w = -20 + 60. Suppose -3*j - w = -292. Suppose -3*k + 2*o = -j, -o - 133 = k - 6*k. Solve 2*b - 4*v = -k, v - 6*v = -3*b - 34 for b. -3 Let s(q) = -q - 3. Let i be s(-8). Solve -3*u + 0*w = -i*w - 11, 0 = 4*u - 4*w - 12 for u. 2 Let p be 0 - 1 - (-1 - -10). Let b be (-6)/(-15) - 46/p. Let s(y) = 7*y**2 - 2*y - 1. Let o be s(2). Solve 3*r + 16 = -2*r + 4*a, -b*r - o = 3*a for r. -4 Let b = -13 - -15. Solve 5*x - 7 = 3*h, b*h + 3 = 7*h - x for h. 1 Let b(n) = 3*n**3 - 2*n**2 + n - 2. Let m(x) = x**3 + x. Let s(d) = b(d) - 2*m(d). Let p be s(3). Solve -5*i = -p*r + 4, 7*i + 12 = 4*i for r. -4 Let r = 12 + -20. Let t be 3 + -2 + r/(-4). Suppose 3*d = -5*u + 19, t*d + 26 = -u + 5*u. Solve -4*x - 26 = -u*s, -3 = -s - 1 for x. -4 Let h = 3 - 2. Let p = h - -2. Solve 9*l + 4*s + 27 = 4*l, 0 = -5*l - p*s - 24 for l. -3 Let g(r) = 35*r**2 - r - 1. Let w be g(-1). Solve -5*n - 2*c = -w, 4*n + 3*c = 37 - 2 for n. 5 Let n be 20/6 - (-4)/6. Let a = -2 + n. Suppose a*k = -0*k + 6. Solve -5*r + y - 9 = -22, y - k = -3*r for r. 2 Let u be 50/4*(1 + 1). Let n = 25 - u. Solve -5 = -5*d + 5*m, n = 4*d - 3*m - 5 + 1 for d. 1 Let l = 18 - 14. Solve -c = -j + 2*j + l, -5*j - 18 = 3*c for c. -1 Suppose 5*q - 5*r = -3*r + 6, -3*q + r + 4 = 0. Solve 0 = 4*c + b + 3*b - 8, 5*b = -3*c + q for c. 4 Suppose s - 6*s = -20. Let m be (4/6)/(2/9). Suppose -m*g = -3*u + 6, 4*g - 3*u = -0*g - 6. Solve g = -s*a - 2*w - 6, -4*a - 2*w = -a + 2 for a. -4 Suppose 0 = 5*o - 1 - 4. Let x be -3 + 3 - (o + -6). Solve -9 = k + x*z + 9, -2*z + 3 = -3*k for k. -3 Let d be (-2)/8 - (-168)/32. Suppose -42 = -d*h + 3*h. Solve -g + 7 = -4*u, -3*g - 8 + h = -4*u for g. 3 Let m = 3 - -1. Let d be 2/m*(3 + -3). Solve -3*y + 6*s = s + 5, -y - 2*s + 2 = d for y. 0 Let z(s) = 3*s + 2. Suppose 4*y + 1 = 5. Let w be z(y). Solve -w*k - 25 = 0, -5*o + 3*k - 6*k - 10 = 0 for o. 1 Let x = 15 + 10. Solve -4*c + 25 = -9*c + 5*l, 0 = 5*c - l + x for c. -5 Let r be 5/2*(-24)/(-4). Suppose 0 = t - 5*t. Solve t = -3*d + r, -4*l + 5*d - 12 = 25 for l. -3 Suppose -4*h + 2*b - 11 = 1, 0 = 5*h - b + 12. Let j = h - -3. Suppose -j = x - 3. Solve 0*m - 18 = -3*p + 2*m, -x*m + 6 = 3*p for p. 4 Suppose 0 = 8*a - 3*a + 30. Let j(b) = -b**3 - 6*b**2 - b - 5. Let g be j(a). Suppose r + 1 = 2*r. Solve 5*d + g = 5*v - 4, -v + r = 5*d for v. 1 Suppose 4 = -s + 8. Solve 2*d - 3 = -1, -4*d = s*v for v. -1 Let r = 2 + -5. Let x = -21 - r. Let n be 20/(-6)*x/12. Solve 0 = -n*t - 5*d - 27 - 13, -3*t - 2*d - 21 = 0 for t. -5 Let w be (-2)/(-4) + 70/4. Solve 3*n + h + w = -2*n, 5*h = -5*n - 10 for n. -4 Suppose 4*y = 3*i + 13, -i - 1 = -y + 2. Solve -d - 3*d = -5*s + 16, y*d = 3*s - 8 for s. 4 Let u be 36/48 + 18/8. Solve 0 = 2*f - 6, u*s + 27 = -f + 5*f for s. -5 Suppose -2 = -y + 4*u - 2*u, 4*y + u - 53 = 0. Solve 2*m + y = 4*t, 0 = -3*t + m + 12 - 4 for t. 2 Let i(h) = h**2 - 5*h + 4. Let k be i(6). Suppose 2*b - 3*b - 6 = 0. Let n = k + b. Solve 3*j + 4*o - n = 6*o, 3*o = 5*j - 5 for j. -2 Let w be (1 - -5)/(3/4). Suppose 4*t = -4*c + 12, -5*t + 9 = -2*t + 5*c. Solve 4*v = -2*y - w, 3*v + y + 6 = -t*y for v. -2 Let l(m) = m**3 - 5*m**2 + 3*m - 6. Suppose -4*a - 5 = -25. Let k be l(a). Solve 0 = -3*u + s + k, -2*s + 27 - 5 = 4*u for u. 4 Suppose -4*i + 36 = -5*t + 10*t, -2*i - 5*t + 18 = 0. Solve p + i = -2*r, -3*r = 2*p - p + 14 for p. 1 Suppose -k - 4*c + 15 = 0, -3*k - 2*k = c - 75. Let q = k + -8. Suppose 2*i = 1 + q. Solve 2*a + 2*j + i = 0, -5*a - 2*j - 14 = -j for a. -3 Let m = 44 + 7. Suppose 10*b + 2*a - m = 5*b, b = 2*a + 15. Solve 5*p - 2 = -3*d + 32, -p = 2*d - b for p. 5 Suppose -3*j + 6 = -6. Suppose -5 - 1 = -3*m. Solve 5*x = 4*y - m + j, -5 = 3*y - 2*x for y. -3 Let p = 136 - 120. Solve -p = 4*y - 3*g, -22 = -5*g - 2 for y. -1 Suppose 2 = 2*h - 30. Suppose 2*y = h + 24. Solve -1 = -2*u - 5*j + 9, 0 = 4*u + 5*j - y for u. 5 Suppose 3*o + 6 = 21. Suppose 0 = 3*z - o*z + 8. Solve -2*w = 0, -z*f - 3*w = -w for f. 0 Let x(v) = 2*v - 3. Let q(y) = -y**2 - 6*y - 4. Let j be q(-4). Let l be x(j). Solve -s = -0*s + l*c + 12, 5*c + 2 = 4*s for s. -2 Suppose -4*z = -5*b + 6, b + 2*b - 4 = 2*z. Let c = b - 2. Solve w - a + c = -1, -5*a - 3 = -3*w for w. -4 Let s = -4 - -6. Suppose 3*z + s*x = 6 + 23, 5*z + 4*x = 49. Solve -5*i + 3*c = 7*c - 15, -3*i - 3*c = -z for i. 3 Let p = 7 - 4. Suppose 8*n = p*n + 15. Solve 6 = -4*t + 18, -3*t = -n*z + 3 for z. 4 Let j be (-6)/(-24) + (-55)/(-4). Suppose -3*z + 2*b + j = 0, -4*z + 3*b + 21 = -2*b. Solve -15 + 3 = z*k + 2*g, 2*g = 3*k + 2 for k. -2 Let c be -3 + 4 + (3 - 0/(-3)). Solve 5*u + 0*b - 37 = c*b, 3*b + 19 = 2*u for u. 5 Let x = 10 - 6. Suppose -x*w = -7*w + 18. Let c = w + -3. Solve 5*f + 28 = -0*l - 2*l, 0 = c*l - 3*f for l. -4 Let n(w) = w + 6. Let a be n(-6). Suppose -2*u + 0*u + 28 = a. Suppose 2*c + 2 = 2*d, -2*d + 12 = 4*c - u. Solve 3*v + k = 2, 0 = -d*v - k + 5 - 1 for v. 1 Suppose 3 = 2*k - 5. Let s(o) = o**2 + 6. Let h be s(0). Let m = h - 3. Solve -r = -2*x - x - 5, m*x - 20 = -k*r for r. 5 Suppose -2*c - 5*z - 17 = 0, -4*c - c + 10 = 2*z. Solve d + 1 = 2*o - 4, c*o - 40 = -4*d for d. 5 Suppose -c = 4, 0 = 7*y - 2*y + 4*c - 4. Suppose -9*z + 60 = -5*z. Suppose z = 4*m + 3. Solve k - y*k - 6 = 3*q, -q - m*k - 12 = 0 for q. 3 Let b(r) be the first derivative of -9*r**4/4 + r**3/3 + r**2 + 2. Let f be b(-2). Suppose 0 = -0*c - 4*c + f. Solve -c = 2*i + 2*g, 3*i = i - g - 13 for i. -4 Suppose -4*j = 3*t - 25, 3*t - 3 = j + 2. Let y(i) = -2*i**3 + i**2. Let g be y(-1). Suppose u = 3*u. Solve 4*m + g*l + 16 = 0, u = m + 5*l - j*l + 4 for m. -4 Let u(o) = o - 1. Let f(c) = 6*c - 3. Let w = -1 + 2. Let h(k) = w*f(k) - 5*u(k). Let p be h(-2). Solve -2*r - 4*n = -0*r - 28, 3*r - 4*n + 8 = p for r. 4 Let x = 7 - 3. Let j = 1 + 0. Suppose 2*o - 3 = j. Solve x*a + 12 = 4*h, -5*h - 1 = a - o*a for h. -1 Suppose -2*n = 2*n - 20. Solve -n*o - 3*d = -4*o - 16, -3*d = -5*o + 8 for o. 4 Let t(f) = -f + 2. Let n be t(-2). Suppose 3*w = 6*w - 15. Solve w*r + m = r + 12, 2*r + n*m + 8 = 0 for r. 4 Let z = -10 + 24. Suppose x - z - 7 = 0. Solve 5*s = -4*w + x - 61, s - 16 = 4*w for w. -5 Let u(b) = b**3 - 8*b**2 - 11*b + 13. Let y be u(9). Let x = y - -8. Solve 3*k + 6 = -2*t - x, 0 = 5*k - 2*t - 1 for k. -1 Let a(u) = -5*u - 11. Let t be a(-3). Solve -r - t*q = -12, 3*q - 8 = -3*r - 2*q for r. -4 Suppose 8*y = 3*y + 150. Solve 4*w - y = -5*v + w, 4*v - 32 = -4*w for v. 3 Let t = -26 + 34. Solve -u + 7 = 4*l, t = 2*l + 5*u - 3*u for l. 1 Let k = -4 - -6. Suppose 0 = 2*m - 5*l + 1, 0 = k*m - 3*m - l - 11. Let r be 6/(-3) + (-1 - m). Solve 0 = -r*o + s + 4*s, -4*o - 5*s = 0 for o. 0 Suppose 0 = -3*n + 3*h + 27 + 18, -2*n - 3*h = -30. Solve -4*r = -x - x - 20, -3*r + n = 0 for x. 0 Let k be (1*-1)/((-3)/6). Let r be (-6)/(-4)*(-8)/(-3). Solve -x - r*t = -6 - 6, k*x - 12 = -5*t for x. -4 Suppose l + 3*l = 16. Suppose 2*z - l = 8. Let t be (56/(-21))/((-4)/z). Solve -5*c - 3*b + 20 = 0, -c + t = b - 2 for c. 1 Let d(s) = -2*s**2 + 8*s + 3. Let x be d(4). Solve 5*p - 4 = -k + x, 1 = k - p for k. 2 Let o(g) = -5*g - 1. Let d be o(-1). Suppose -5*y = -14 + d. Solve -3*k - 3 = -u - 2*u, -y*u - 1 = k for k. -1
{ "pile_set_name": "DM Mathematics" }
z: 2, i: 1}. What is prob of sequence qiqq? 1/126 Four letters picked without replacement from sczzccczs. Give prob of sequence sszz. 1/252 Calculate prob of sequence qfc when three letters picked without replacement from llclbqlff. 1/252 Calculate prob of sequence nzz when three letters picked without replacement from {e: 7, z: 3, x: 1, d: 4, n: 2}. 1/340 Three letters picked without replacement from mmmmmmmmcmmmmmw. Give prob of sequence cwm. 1/210 Calculate prob of sequence tg when two letters picked without replacement from {q: 3, u: 1, b: 3, t: 1, g: 2}. 1/45 Four letters picked without replacement from {e: 4, w: 15}. Give prob of sequence ewew. 35/1292 Calculate prob of sequence ll when two letters picked without replacement from {l: 10, x: 9}. 5/19 Three letters picked without replacement from qdqqqqqqqqdqq. What is prob of sequence ddq? 1/78 Two letters picked without replacement from {z: 2, v: 1, x: 1, j: 3, t: 3, m: 1}. What is prob of sequence tv? 3/110 What is prob of sequence hhss when four letters picked without replacement from {h: 3, s: 2}? 1/10 What is prob of sequence psj when three letters picked without replacement from {t: 4, j: 1, o: 1, c: 2, p: 1, s: 3}? 1/440 Calculate prob of sequence phhh when four letters picked without replacement from hohhhhphh. 5/72 What is prob of sequence ppp when three letters picked without replacement from bpppbp? 1/5 Calculate prob of sequence ffsf when four letters picked without replacement from sfssssfsff. 1/35 What is prob of sequence ix when two letters picked without replacement from {z: 1, j: 2, m: 1, x: 1, p: 2, i: 1}? 1/56 Two letters picked without replacement from {v: 5, c: 9, s: 2}. What is prob of sequence vs? 1/24 Calculate prob of sequence uu when two letters picked without replacement from {u: 12, f: 7, j: 1}. 33/95 Two letters picked without replacement from {g: 1, u: 7}. What is prob of sequence ug? 1/8 Three letters picked without replacement from {x: 14, t: 5}. Give prob of sequence ttt. 10/969 What is prob of sequence ayv when three letters picked without replacement from ytyvuatttt? 1/360 What is prob of sequence vqv when three letters picked without replacement from vvvqvqvvvvvqvvqvvv? 91/612 Four letters picked without replacement from {v: 3, i: 2}. Give prob of sequence vvvi. 1/10 Calculate prob of sequence ncge when four letters picked without replacement from pcpnejpjege. 1/2640 Two letters picked without replacement from {y: 1, t: 1, i: 3, d: 2}. Give prob of sequence ty. 1/42 Three letters picked without replacement from ffyjjqxq. What is prob of sequence qjq? 1/84 Two letters picked without replacement from {o: 2, p: 1, i: 1, u: 1}. What is prob of sequence pu? 1/20 Calculate prob of sequence yyyj when four letters picked without replacement from {f: 6, y: 5, j: 2}. 1/143 What is prob of sequence skk when three letters picked without replacement from {h: 1, v: 3, g: 2, s: 1, k: 5}? 1/66 What is prob of sequence mem when three letters picked without replacement from {s: 6, m: 2, e: 7}? 1/195 Three letters picked without replacement from uezuwca. What is prob of sequence zue? 1/105 What is prob of sequence ddd when three letters picked without replacement from dddd? 1 Calculate prob of sequence eh when two letters picked without replacement from eshs. 1/12 Four letters picked without replacement from hhshhhssshshssshy. What is prob of sequence hssh? 14/255 Four letters picked without replacement from xzhxx. Give prob of sequence hxxz. 1/20 Two letters picked without replacement from jhiywbjh. What is prob of sequence bh? 1/28 Two letters picked without replacement from {z: 1, l: 1, p: 2, k: 2, x: 1}. What is prob of sequence kl? 1/21 Three letters picked without replacement from xxxvxvvvvvxxvxxxvvxx. Give prob of sequence vxx. 11/76 What is prob of sequence ue when two letters picked without replacement from iaipeepaeuapepipeasa? 1/76 Calculate prob of sequence oj when two letters picked without replacement from {j: 6, r: 4, o: 1}. 3/55 Four letters picked without replacement from kkkkpgggkykk. What is prob of sequence pkgk? 7/660 Two letters picked without replacement from {p: 3, q: 3, k: 3, g: 3}. Give prob of sequence kk. 1/22 Three letters picked without replacement from zzzizzziizzii. Give prob of sequence iiz. 40/429 Calculate prob of sequence yuv when three letters picked without replacement from {y: 2, d: 1, v: 1, u: 1}. 1/30 Three letters picked without replacement from evfefehev. Give prob of sequence veh. 1/63 Calculate prob of sequence nb when two letters picked without replacement from ubcceuubnnucuubbubcb. 3/95 Two letters picked without replacement from {x: 3, c: 3, t: 2, q: 5}. Give prob of sequence xc. 3/52 What is prob of sequence jrz when three letters picked without replacement from {z: 1, e: 1, j: 1, y: 1, r: 1}? 1/60 Two letters picked without replacement from {u: 4, v: 6}. Give prob of sequence vu. 4/15 What is prob of sequence zv when two letters picked without replacement from evvwwvveheeezh? 2/91 Calculate prob of sequence nbp when three letters picked without replacement from hhfnbhpfhhhnhhhhhph. 2/2907 Four letters picked without replacement from {z: 3, l: 1, m: 1, b: 5, g: 2, k: 3}. Give prob of sequence gkzk. 1/910 Calculate prob of sequence qfaa when four letters picked without replacement from {j: 4, n: 2, u: 1, q: 1, f: 7, a: 3}. 7/12240 Two letters picked without replacement from wwwwwbb. What is prob of sequence wb? 5/21 What is prob of sequence uuj when three letters picked without replacement from jjjjuujjjjjjjujj? 13/560 Four letters picked without replacement from kkjkjjkkjk. What is prob of sequence kjkk? 2/21 What is prob of sequence nlll when four letters picked without replacement from llnnl? 1/10 Calculate prob of sequence eiyn when four letters picked without replacement from {n: 1, i: 2, e: 1, y: 1, s: 2, t: 2}. 1/1512 What is prob of sequence udu when three letters picked without replacement from uquddeqqq? 1/126 Calculate prob of sequence vv when two letters picked without replacement from {k: 2, v: 11}. 55/78 Three letters picked without replacement from {x: 1, c: 4, m: 2, v: 2, b: 1}. What is prob of sequence bcc? 1/60 Two letters picked without replacement from {q: 1, a: 1, h: 3}. Give prob of sequence ha. 3/20 Two letters picked without replacement from {t: 1, k: 2, d: 4}. What is prob of sequence kt? 1/21 Two letters picked without replacement from the. Give prob of sequence he. 1/6 Three letters picked without replacement from {b: 2, p: 11}. What is prob of sequence ppb? 5/39 Four letters picked without replacement from azzp. Give prob of sequence azzp. 1/12 Calculate prob of sequence ll when two letters picked without replacement from {l: 2, v: 3}. 1/10 Calculate prob of sequence hiii when four letters picked without replacement from {i: 11, h: 2}. 3/26 Two letters picked without replacement from kqqkkqkqqqhkqqqqqhq. What is prob of sequence hq? 4/57 Two letters picked without replacement from {r: 1, z: 6, e: 2, u: 5, c: 1}. What is prob of sequence ec? 1/105 Calculate prob of sequence dhs when three letters picked without replacement from dddddddhsh. 7/360 Four letters picked without replacement from rorooo. Give prob of sequence roro. 1/15 What is prob of sequence bb when two letters picked without replacement from {z: 4, b: 3}? 1/7 Calculate prob of sequence iid when three letters picked without replacement from {d: 2, i: 2}. 1/6 Three letters picked without replacement from vvvcvckcjkc. Give prob of sequence cjk. 4/495 Two letters picked without replacement from snnnnssnnsn. Give prob of sequence ss. 6/55 Three letters picked without replacement from {v: 6, x: 1, p: 5, a: 3, u: 2}. What is prob of sequence vvp? 5/136 Calculate prob of sequence gto when three letters picked without replacement from abtgo. 1/60 Calculate prob of sequence ykww when four letters picked without replacement from {y: 1, k: 3, w: 1}. 0 What is prob of sequence dp when two letters picked without replacement from {q: 2, c: 1, j: 4, d: 2, p: 3}? 1/22 What is prob of sequence yion when four letters picked without replacement from yooijnif? 1/420 Two letters picked without replacement from {m: 1, y: 1, f: 8, t: 3, n: 6}. What is p
{ "pile_set_name": "DM Mathematics" }
07457, 4, 2, -33 Sort -100/189, 3, 70. -100/189, 3, 70 Sort -592, -2, 0, 137 in descending order. 137, 0, -2, -592 Sort 5675673, 1, 4/7. 4/7, 1, 5675673 Sort 4645388, 1, -6, 3. -6, 1, 3, 4645388 Put 1, -13, -4/23, -0.1, 9/167 in ascending order. -13, -4/23, -0.1, 9/167, 1 Sort -392, 2, 5, 1492 in increasing order. -392, 2, 5, 1492 Sort -1128, -3, 4, 0.59 in descending order. 4, 0.59, -3, -1128 Sort -8, -5, 274129. -8, -5, 274129 Put 9177, 9, -0.1, 27 in ascending order. -0.1, 9, 27, 9177 Sort 25, 21, 1/9, 255, 2 in decreasing order. 255, 25, 21, 2, 1/9 Sort 28, -4, -173, -2, 0, 5 in descending order. 28, 5, 0, -2, -4, -173 Sort 2, -235, -24, 5, -3, 3, 88 in ascending order. -235, -24, -3, 2, 3, 5, 88 Sort -5, -3, 2, 3, -49403 in increasing order. -49403, -5, -3, 2, 3 Sort 35, -5, 0, 12, -1, -63, -12 in descending order. 35, 12, 0, -1, -5, -12, -63 Sort 1594, 333, 1/6 in descending order. 1594, 333, 1/6 Sort 4, -8, -4, -6, 74, -10 in decreasing order. 74, 4, -4, -6, -8, -10 Sort -6.8, 1, -55, 6, 1/4, 0.5 in decreasing order. 6, 1, 0.5, 1/4, -6.8, -55 Put 2, -61, 0, 1/3, 0.0321 in ascending order. -61, 0, 0.0321, 1/3, 2 Sort -11/6, 32.8, 1/4, 5, 0.2 in decreasing order. 32.8, 5, 1/4, 0.2, -11/6 Sort 352, 0, -7674 in ascending order. -7674, 0, 352 Put 4.76, 1/4, -368, 0.1 in increasing order. -368, 0.1, 1/4, 4.76 Put -10, -4, 0, -86, 5, 1468 in ascending order. -86, -10, -4, 0, 5, 1468 Put 0, -351, 3, 38 in increasing order. -351, 0, 3, 38 Put -3, -8, 0, -22, 26, 7 in ascending order. -22, -8, -3, 0, 7, 26 Put 485, -26586, -23 in descending order. 485, -23, -26586 Sort 2, -2, 235527, -8 in increasing order. -8, -2, 2, 235527 Sort 174, -1823, 331 in decreasing order. 331, 174, -1823 Sort -5911, -5, -1, -2, 45, 4 in ascending order. -5911, -5, -2, -1, 4, 45 Put -11, 5, -5969, -5, 4 in increasing order. -5969, -11, -5, 4, 5 Put 2, -3, -5524, -1, -94, 3 in decreasing order. 3, 2, -1, -3, -94, -5524 Put -21, 20200, 4 in ascending order. -21, 4, 20200 Sort 3, 171, -488, -4, -1, -2. -488, -4, -2, -1, 3, 171 Put 2, 1967665, 3, 0, -3, 1 in increasing order. -3, 0, 1, 2, 3, 1967665 Sort -4/5, -1, 4, 9793. -1, -4/5, 4, 9793 Sort 1/2, 4, -0.2, 0.05, -93.6 in descending order. 4, 1/2, 0.05, -0.2, -93.6 Put -670757, -0.3, -2/3, 0.07 in descending order. 0.07, -0.3, -2/3, -670757 Put 41, 0.3, 26/5189, -1, -0.4, -5 in ascending order. -5, -1, -0.4, 26/5189, 0.3, 41 Sort 85, 4071, 0, -1 in descending order. 4071, 85, 0, -1 Put 102, -18, 3, -1304, -3 in ascending order. -1304, -18, -3, 3, 102 Sort -2237, 2, -1.802, -4 in increasing order. -2237, -4, -1.802, 2 Sort 8, -5040, 102 in increasing order. -5040, 8, 102 Sort 0, 1, 978, -83. -83, 0, 1, 978 Sort -422, 36, 716. -422, 36, 716 Sort 3, 1, 65, 5, -1604. -1604, 1, 3, 5, 65 Sort -3.8506, -234/11, -0.1 in increasing order. -234/11, -3.8506, -0.1 Sort 4, 27655, -0.203, -0.3, -3. -3, -0.3, -0.203, 4, 27655 Put -2, 4209, -0.3, -2/3, 47/52 in decreasing order. 4209, 47/52, -0.3, -2/3, -2 Put 0, 2388, 8520, -4 in ascending order. -4, 0, 2388, 8520 Sort -1/2, -16752297, -4 in ascending order. -16752297, -4, -1/2 Sort -48, -1038668, -3 in increasing order. -1038668, -48, -3 Put -3, -14, -6665, 0, -15 in descending order. 0, -3, -14, -15, -6665 Put 3, 4, -1584, -227, -4, -2 in increasing order. -1584, -227, -4, -2, 3, 4 Put 248, 366, 0, 4, 3, 2/5 in increasing order. 0, 2/5, 3, 4, 248, 366 Put 3, 1487, -391 in decreasing order. 1487, 3, -391 Sort -185, -2/9, 111, 1518 in decreasing order. 1518, 111, -2/9, -185 Sort 37, -1, -2, 6, 1095, 5 in decreasing order. 1095, 37, 6, 5, -1, -2 Put -91, 271, -0.6 in descending order. 271, -0.6, -91 Sort -9, 4, -431, 456, 0 in ascending order. -431, -9, 0, 4, 456 Put 21, -5, -3, -7, 2, -143, 4 in decreasing order. 21, 4, 2, -3, -5, -7, -143 Sort 12, 1276, -18, 4 in ascending order. -18, 4, 12, 1276 Put 4, 46, -2, -53, 104 in decreasing order. 104, 46, 4, -2, -53 Put 5, 3, 12, 2, 873 in ascending order. 2, 3, 5, 12, 873 Put -106764, -1/3, 0.09, -5, 2 in ascending order. -106764, -5, -1/3, 0.09, 2 Put 2, 13, 114, -7, -4, -1, 0 in decreasing order. 114, 13, 2, 0, -1, -4, -7 Put -4, -3, -5, 10, -402, -1, 2 in ascending order. -402, -5, -4, -3, -1, 2, 10 Sort -9, -4/5, 46, 4/7, 0.3, -4, -6 in ascending order. -9, -6, -4, -4/5, 0.3, 4/7, 46 Sort -1, -2/4121, 2, -1/5, -12 in decreasing order. 2, -2/4121, -1/5, -1, -12 Sort -13.73, 2, 14, 4, -4/9 in ascending order. -13.73, -4/9, 2, 4, 14 Sort -16, -4, -7, 0, 68, 7, 4 in decreasing order. 68, 7, 4, 0, -4, -7, -16 Put 3, -1005, 0, 84, 1 in decreasing order. 84, 3, 1, 0, -1005 Put 20, 1655, -5, -4 in ascending order. -5, -4, 20, 1655 Put 0, -1, -5, 15, 28, 1, -88 in increasing order. -88, -5, -1, 0, 1, 15, 28 Put -7, -5, 1, 0, 5, -8, -85 in decreasing order. 5, 1, 0, -5, -7, -8, -85 Sort 0.5, -40, 1.47, 1401 in descending order. 1401, 1.47, 0.5, -40 Put 0.184, 2/9, -3/322 in ascending order. -3/322, 0.184, 2/9 Sort -1, 1120, 7/142 in increasing order. -1, 7/142, 1120 Sort -5, 0, -18086, 12 in descending order. 12, 0, -5, -18086 Put 26, 2, -32, -381, -1, 105 in ascending order. -381, -32, -1, 2, 26, 105 Put 2/9, -97, 64804, -0.04, -2 in descending order. 64804, 2/9, -0.04, -2, -97 Sort -24, -3, -49047, -2, 1 in descending order. 1, -2, -3, -24, -49047 Put -2/5, -6587, 22, 1/4 in descending order. 22, 1/4, -2/5, -6587 Sort -5, -1, -225, -581, 5, 1 in descending order. 5, 1, -1, -5, -225, -581 Sort -16, 45, 4, 1, -52, -4, -5. -52, -16, -5, -4, 1, 4, 45 Sort -196, -2013, 7, 15 in descending order. 15, 7, -196, -2013 Sort 6/7, 28/5, 1/29, -165, 0 in increasing order. -165, 0, 1/29, 6/7, 28/5 Sort -4, -3, 7, -5, 827, 5 in descending order. 827, 7, 5, -3, -4, -5 Sort 47, 3572, 0, -3 in descending order. 3572, 47, 0, -3 Sort 2/9, -5/134, -2/3, -1/7 in descending order. 2/9, -5/134, -1/7, -2/3 Put 1457381, 6, 2/5 in decreasing order. 1457381, 6, 2/5 Put 1006, -2, -5, 3, 346, -3, 0 in descending order. 1006, 346, 3, 0, -2, -3, -5 Sort -13, -6668, 1/6, -22. -6668, -22, -13, 1/6 Sort 32, -90845, -5. -90845, -5, 32 Put 202, 963959, -0.1 in decreasing order. 963959, 202, -0.1 Sort -654, 0, -2/7, 4, -4, 826 in ascending order. -654, -4, -2/7, 0, 4, 826 Put 1, -119, -5, 16, 2, 1082 in ascending order. -119, -5, 1, 2, 16, 1082 Put -2, -4, -59197, -5, 2, 3 in descending order. 3, 2, -2, -4, -5, -59197 Put -0.1, 5/12, -1.63, 1/4, 0.2, 7 in decreasing order. 7, 5/12, 1/4, 0.2, -0.1, -1.63 Sort -0.2, 126, 80, -1, -1.19 in ascending order. -1.19, -1, -0.2, 80, 126 Put -0.0347, -1/73, -2101, 0.2 in ascending order. -2101, -0.0347, -1/73, 0.2 Sort 3, 5, 1, -101, 15, 20/13, 0.06 in ascending order. -101, 0.06, 1, 20/13, 3, 5, 15 Sort -1, -1365, 435, -9 in ascending order. -1365, -9, -1, 435 Sort -2148, -5, -18, 5, 443. -2148, -18, -5, 5, 443 Sort 7, -22, -1563, 0, -31 in descending order. 7, 0, -22, -31, -1563 Sort 2/23863, -8/119, -2/17 in descending order. 2/23863, -8/119, -2/17 Put 1, -48, 52, -6, 3, -1 in descending order. 52, 3, 1, -1, -6, -48 Sort -9, -5, -17, -2, 4 in decreasing order. 4, -2, -5, -9, -17 Put 1, 534, 4, 4/19 in decreasing order. 534, 4, 1, 4/19 Put 2/9, -5, -115/2, 0.2, 2061 in descending order. 2061, 2/9, 0.2, -5, -115/2 Sort -226, -65486, 5, -2 in increasing order. -65486, -226, -2, 5 Sort 13, 2, 4, -150, -170 in descending order. 13, 4, 2, -150, -170 Sort 4, 1, 3, 69045 in descending order. 69045, 4, 3, 1 Put -33, -16/3, 1/4, -2, 26, 2 in ascending order. -33, -16/3, -2, 1/4, 2, 26 Put -4, 18, -19, 38, 2, 1 in ascending order. -19, -4, 1, 2, 18, 38 Sort -5, -0.3, -4/7, 26, 10517 in increasing order. -5, -4/7, -0.3, 26, 10517 Put 2, 823, -6140 in ascending order. -6140, 2, 823 Sort -0.1, -2/9, -192, 115/4, -3. -192, -3, -2/9, -0.1, 115/4 Sort -6/35, 9, -10766 in decreasing order. 9, -6/35, -10766 Sort -1/6, -20378, 4, -1, 0.059. -20378, -1, -1/6, 0.059, 4 Sort 1/4, 15, -2310, -14, -0.6 in increasing order. -2310, -14, -0.6, 1/4, 15 Sort -10/3, 3/5, 458801 in ascending order. -10/3, 3/5, 458801 Put 9.617, 23, -1.4 in ascending order. -1.4, 9.617, 23 Put -2, -92, -57, -1224 in ascending order. -1224, -92, -57, -2 Sort 141, 568, -8 in ascending order. -8, 141, 568 Put 1974, -8, 3, 4, -3 in ascending order. -8, -3, 3, 4, 1974 Sort 5, 3, -18, -54,
{ "pile_set_name": "DM Mathematics" }
n 3332 is divided by 115? 112 Calculate the remainder when 2418 is divided by 22. 20 What is the remainder when 11 is divided by 2? 1 Calculate the remainder when 370 is divided by 105. 55 What is the remainder when 979 is divided by 10? 9 What is the remainder when 3797 is divided by 190? 187 Calculate the remainder when 184 is divided by 24. 16 What is the remainder when 274 is divided by 69? 67 What is the remainder when 1222 is divided by 602? 18 Calculate the remainder when 1461 is divided by 49. 40 Calculate the remainder when 704 is divided by 117. 2 What is the remainder when 666 is divided by 29? 28 Calculate the remainder when 154 is divided by 79. 75 What is the remainder when 78 is divided by 30? 18 What is the remainder when 430 is divided by 48? 46 What is the remainder when 188 is divided by 99? 89 What is the remainder when 107 is divided by 39? 29 Calculate the remainder when 14 is divided by 12. 2 What is the remainder when 6810 is divided by 243? 6 What is the remainder when 2287 is divided by 88? 87 What is the remainder when 260 is divided by 68? 56 What is the remainder when 6368 is divided by 59? 55 What is the remainder when 261 is divided by 105? 51 What is the remainder when 95 is divided by 20? 15 Calculate the remainder when 6999 is divided by 291. 15 What is the remainder when 596 is divided by 10? 6 Calculate the remainder when 1079 is divided by 48. 23 What is the remainder when 1160 is divided by 83? 81 Calculate the remainder when 12790 is divided by 39. 37 Calculate the remainder when 1914 is divided by 241. 227 What is the remainder when 41 is divided by 38? 3 What is the remainder when 1113 is divided by 91? 21 What is the remainder when 4688 is divided by 67? 65 What is the remainder when 300 is divided by 76? 72 What is the remainder when 1084 is divided by 176? 28 Calculate the remainder when 21901 is divided by 21. 19 Calculate the remainder when 62 is divided by 35. 27 Calculate the remainder when 534 is divided by 69. 51 What is the remainder when 19 is divided by 5? 4 Calculate the remainder when 500 is divided by 264. 236 Calculate the remainder when 124 is divided by 39. 7 Calculate the remainder when 249 is divided by 9. 6 What is the remainder when 1801 is divided by 166? 141 Calculate the remainder when 76 is divided by 11. 10 What is the remainder when 467 is divided by 12? 11 Calculate the remainder when 10 is divided by 1. 0 What is the remainder when 645 is divided by 54? 51 What is the remainder when 764 is divided by 248? 20 What is the remainder when 386 is divided by 119? 29 Calculate the remainder when 276 is divided by 16. 4 What is the remainder when 611 is divided by 27? 17 Calculate the remainder when 749 is divided by 94. 91 Calculate the remainder when 1546 is divided by 36. 34 What is the remainder when 42 is divided by 1? 0 What is the remainder when 111 is divided by 49? 13 What is the remainder when 2565 is divided by 24? 21 What is the remainder when 24670 is divided by 11? 8 What is the remainder when 6 is divided by 3? 0 Calculate the remainder when 755 is divided by 20. 15 Calculate the remainder when 1141 is divided by 142. 5 Calculate the remainder when 283 is divided by 57. 55 Calculate the remainder when 1312 is divided by 162. 16 What is the remainder when 215 is divided by 64? 23 What is the remainder when 239 is divided by 17? 1 Calculate the remainder when 194 is divided by 70. 54 What is the remainder when 3270 is divided by 36? 30 Calculate the remainder when 670 is divided by 13. 7 What is the remainder when 13033 is divided by 79? 77 What is the remainder when 474 is divided by 34? 32 What is the remainder when 735 is divided by 66? 9 Calculate the remainder when 1252 is divided by 22. 20 Calculate the remainder when 1058 is divided by 10. 8 What is the remainder when 839 is divided by 30? 29 Calculate the remainder when 41 is divided by 32. 9 What is the remainder when 577 is divided by 188? 13 Calculate the remainder when 389 is divided by 188. 13 Calculate the remainder when 675 is divided by 46. 31 What is the remainder when 76 is divided by 39? 37 Calculate the remainder when 2687 is divided by 84. 83 Calculate the remainder when 837 is divided by 199. 41 What is the remainder when 1609 is divided by 14? 13 What is the remainder when 202 is divided by 50? 2 What is the remainder when 74 is divided by 15? 14 What is the remainder when 943 is divided by 12? 7 What is the remainder when 4427 is divided by 18? 17 Calculate the remainder when 1119 is divided by 289. 252 Calculate the remainder when 121 is divided by 44. 33 What is the remainder when 168 is divided by 88? 80 What is the remainder when 360 is divided by 73? 68 Calculate the remainder when 1549 is divided by 429. 262 Calculate the remainder when 180 is divided by 178. 2 Calculate the remainder when 3387 is divided by 261. 255 What is the remainder when 1169 is divided by 195? 194 Calculate the remainder when 113 is divided by 19. 18 Calculate the remainder when 853 is divided by 424. 5 Calculate the remainder when 59 is divided by 10. 9 What is the remainder when 6017 is divided by 5? 2 Calculate the remainder when 6397 is divided by 16. 13 What is the remainder when 124 is divided by 70? 54 What is the remainder when 582 is divided by 9? 6 What is the remainder when 10184 is divided by 7? 6 Calculate the remainder when 1974 is divided by 329. 0 Calculate the remainder when 325 is divided by 39. 13 Calculate the remainder when 132 is divided by 71. 61 Calculate the remainder when 426 is divided by 86. 82 What is the remainder when 1512 is divided by 101? 98 Calculate the remainder when 137 is divided by 35. 32 Calculate the remainder when 155 is divided by 3. 2 Calculate the remainder when 540 is divided by 92. 80 What is the remainder when 445 is divided by 50? 45 Calculate the remainder when 21357 is divided by 178. 175 Calculate the remainder when 28 is divided by 16. 12 What is the remainder when 3359 is divided by 57? 53 Calculate the remainder when 1229 is divided by 77. 74 What is the remainder when 714 is divided by 338? 38 Calculate the remainder when 166 is divided by 58. 50 Calculate the remainder when 5169 is divided by 15. 9 What is the remainder when 255 is divided by 48? 15 Calculate the remainder when 1298 is divided by 20. 18 What is the remainder when 123 is divided by 26? 19 Calculate the remainder when 104 is divided by 27. 23 What is the remainder when 245 is divided by 10? 5 What is the remainder when 311 is divided by 32? 23 What is the remainder when 5558 is divided by 109? 108 What is the remainder when 1167 is divided by 166? 5 What is the remainder when 7307 is divided by 12? 11 Calculate the remainder when 173 is divided by 65. 43 What is the remainder when 7955 is divided by 109? 107 What is the remainder when 792 is divided by 30? 12 Calculate the remainder when 335 is divided by 28. 27 What is the remainder when 229 is divided by 71? 16 Calculate the remainder when 175 is divided by 29. 1 What is the remainder when 169 is divided by 9? 7 What is the remainder when 255 is divided by 13? 8 What is the remainder when 78 is divided by 13? 0 Calculate the remainder when 33 is divided by 5. 3 What is the remainder when 143 is divided by 58? 27 Calculate the remainder when 3145 is divided by 126. 121 What is the remainder when 87 is divided by 4? 3 Calculate the remainder when 197 is divided by 111. 86 Calculate the remainder when 366 is divided by 143. 80 What is the remainder when 96 is divided by 5? 1 Calculate the remainder when 109 is divided by 63. 46 Calculate the remainder when 116 is divided by 54. 8 What is the remainder when 443 is divided by 183? 77 What is the remainder when 480 is divided by 21? 18 What is the remainder when 28 is divided by 7? 0 Calculate the remainder when 72 is divided by 67. 5 Calculate the remainder when 1048 is divided by 81. 76 Calculate the remainder when 5609 is divided by 92. 89 Calculate the remainder when 161 is divided by 15. 11 What is the remainder when 166 is divided by 13? 10 Calculate the remainder when 1464 is divided by 92. 84 What is the remainder when 1758 is divided by 40? 38 What is the remainder when 59 is divided
{ "pile_set_name": "DM Mathematics" }
What is 5476.39216 rounded to the nearest ten? 5480 What is 191714.95 rounded to the nearest 100? 191700 What is -738.475088 rounded to the nearest 10? -740 What is 12410988.85 rounded to the nearest one hundred thousand? 12400000 What is -648256.897 rounded to the nearest ten? -648260 What is 32291.93823 rounded to the nearest one hundred? 32300 What is 7471.02028 rounded to the nearest 100? 7500 Round 373.5511858 to the nearest 10. 370 Round 1.28725398 to 1 dp. 1.3 Round -315494757 to the nearest one million. -315000000 What is 1.573075304 rounded to 1 dp? 1.6 What is -0.0057707997 rounded to five dps? -0.00577 Round 18880.4359 to the nearest one hundred. 18900 What is 0.00002703948181 rounded to six dps? 0.000027 What is 84713.8332 rounded to the nearest 100? 84700 What is -6212027930 rounded to the nearest 1000000? -6212000000 Round -380.03657 to zero decimal places. -380 What is 0.000335631734 rounded to five decimal places? 0.00034 Round 0.002478862452 to four decimal places. 0.0025 What is 643.1451588 rounded to the nearest integer? 643 Round -0.00000023936907 to 7 dps. -0.0000002 What is -23944.20524 rounded to the nearest integer? -23944 What is -0.574235472 rounded to one decimal place? -0.6 Round 7254324.35 to the nearest 1000. 7254000 What is -0.80687429 rounded to 3 dps? -0.807 What is 211.251431 rounded to the nearest 10? 210 Round 211200.638 to the nearest 10000. 210000 What is 0.007401912322 rounded to seven decimal places? 0.0074019 Round -3776.70507 to the nearest 10. -3780 What is 0.02877373738 rounded to four dps? 0.0288 Round -475.444231 to 1 decimal place. -475.4 Round -983557728.8 to the nearest ten thousand. -983560000 Round -0.0064494716 to five dps. -0.00645 What is 0.000006205716 rounded to seven decimal places? 0.0000062 Round 0.276349427 to 2 decimal places. 0.28 Round 1.748520906 to 2 decimal places. 1.75 What is -0.056820087 rounded to 3 decimal places? -0.057 What is 377.7717 rounded to the nearest 10? 380 What is -0.0000763667822 rounded to 5 decimal places? -0.00008 Round 2.669805865 to one dp. 2.7 Round 0.000277264058 to 7 decimal places. 0.0002773 Round 6.57914099 to 2 dps. 6.58 What is -3.868276181 rounded to one dp? -3.9 What is -113545.8278 rounded to the nearest 100? -113500 What is -2.612907287 rounded to two decimal places? -2.61 What is 2808773.95 rounded to the nearest one million? 3000000 Round 276716699 to the nearest 1000000. 277000000 What is 769.94257 rounded to the nearest 100? 800 Round -0.003927853394 to four decimal places. -0.0039 What is -92884.6769 rounded to the nearest one thousand? -93000 Round -444749.84 to the nearest 10. -444750 What is 35200.0685 rounded to the nearest one hundred? 35200 What is -1680360.21 rounded to the nearest 100000? -1700000 Round -1.427705327 to three dps. -1.428 What is 773742.24 rounded to the nearest ten thousand? 770000 What is -41006.7975 rounded to the nearest integer? -41007 What is -16603342.555 rounded to the nearest ten thousand? -16600000 Round 0.000587752592 to 4 decimal places. 0.0006 What is 0.5367899009 rounded to 3 decimal places? 0.537 Round -0.000612970166 to six dps. -0.000613 What is -16213.15091 rounded to the nearest ten thousand? -20000 Round -100.24806249 to two decimal places. -100.25 What is -10133999.9 rounded to the nearest 1000000? -10000000 What is 47.46925484 rounded to 2 decimal places? 47.47 Round 4893647.577 to the nearest 1000. 4894000 What is 2054808.48 rounded to the nearest one hundred? 2054800 What is -8207778600 rounded to the nearest one million? -8208000000 Round 1.386245082 to 2 dps. 1.39 What is 0.000001219246057 rounded to seven decimal places? 0.0000012 Round 0.293891551 to four dps. 0.2939 What is 9190.17681 rounded to one dp? 9190.2 Round -0.496539416 to four dps. -0.4965 Round -1218763.53 to the nearest 10000. -1220000 What is 13570286.9 rounded to the nearest 100000? 13600000 Round -3142042.51 to the nearest 100000. -3100000 What is -474214.74 rounded to the nearest ten thousand? -470000 Round -9450.26907 to the nearest 10. -9450 Round 14963.3138 to the nearest ten. 14960 Round 4012671.31 to the nearest one hundred thousand. 4000000 Round 23336.2914 to the nearest one thousand. 23000 What is -0.0000249501873 rounded to 7 decimal places? -0.000025 What is 0.0000188951521 rounded to seven dps? 0.0000189 Round -755830.74 to the nearest one thousand. -756000 Round -49133445.4 to the nearest 1000. -49133000 Round 1.378722694 to 0 dps. 1 What is 0.00004106374094 rounded to 5 decimal places? 0.00004 What is 20804786.8 rounded to the nearest one million? 21000000 What is 0.00016771286 rounded to five dps? 0.00017 Round -770818090 to the nearest one million. -771000000 What is 0.002900314994 rounded to four decimal places? 0.0029 What is -2576562.82 rounded to the nearest 100? -2576600 Round -0.00492628797 to 7 decimal places. -0.0049263 What is 231.537957 rounded to the nearest 10? 230 Round 294.9952 to zero decimal places. 295 Round -141.6524049 to the nearest one hundred. -100 What is -39.47121464 rounded to 1 decimal place? -39.5 Round -730.823629 to 2 decimal places. -730.82 Round 6495.31626 to the nearest 1000. 6000 Round 116.1064935 to one decimal place. 116.1 Round -0.010587773124 to 6 decimal places. -0.010588 What is -118846289 rounded to the nearest 100000? -118800000 Round 0.019923882776 to 7 decimal places. 0.0199239 Round 528927726.1 to the nearest 1000000. 529000000 What is -0.0000313708731 rounded to 7 dps? -0.0000314 What is -5.51041082 rounded to the nearest integer? -6 Round -0.4164657305 to 2 dps. -0.42 Round -174084.79 to the nearest one thousand. -174000 What is 0.000001949674219 rounded to 6 dps? 0.000002 What is 4137987730 rounded to the nearest 100000? 4138000000 Round 34610765.17 to the nearest 10000. 34610000 Round -5463255700 to the nearest 1000000. -5463000000 Round 152172.0174 to the nearest 10. 152170 What is 0.000015347736 rounded to 6 decimal places? 0.000015 Round -2158640.3414 to the nearest one hundred. -2158600 What is 836.72886 rounded to zero dps? 837 What is -22.99567225 rounded to 3 dps? -22.996 Round -9098497.1 to the nearest one hundred thousand. -9100000 Round -0.000001314653568 to seven dps. -0.0000013 What is -0.004561685 rounded to three dps? -0.005 Round -25320576.37 to the nearest ten thousand. -25320000 What is 19114559.6 rounded to the nearest 10000? 19110000 What is 42315490 rounded to the nearest 100000? 42300000 Round -3.31274577 to 0 decimal places. -3 What is -0.008393663444 rounded to four dps? -0.0084 What is 40013125.5 rounded to the nearest 1000? 40013000 What is 0.002240360539 rounded to four decimal places? 0.0022 Round 0.000000611139825 to seven dps. 0.0000006 What is 0.00000059144824 rounded to 7 decimal places? 0.0000006 Round -358.8185333 to one dp. -358.8 Round -5.931299 to two decimal places. -5.93 What is -28.351323 rounded to zero dps? -28 Round 200982.61 to the nearest 10000. 200000 What is -44083234.9 rounded to the nearest one thousand? -44083000 What is 0.871648415 rounded to 5 dps? 0.87165 What is 4283.416125 rounded to the nearest one hundred? 4300 Round -29.077537 to the nearest integer. -29 What is 1052545.87 rounded to the nearest one hundred? 1052500 What is 28.0854 rounded to the nearest 100? 0 What is -16876.36109 rounded to the nearest ten? -16880 Round 320558590 to the nearest one hundred thousand. 320600000 Round 1614204.39 to the nearest 100. 1614200 What is -340.611073 rounded to 1 decimal place? -340.6 What is 36509.8501 rounded to the nearest one thousand? 37000 What is -0.00565474647 rounded to 3 dps? -0.006 Round 5401719.48 to the nearest ten thousand. 5400000 What is 0.007921145033 rounded to 5 dps? 0.00792 What is 0.00000272181723 rounded to seven decimal places? 0.0000027 Round 128.8468461 to two dps. 128.85 Round -0.0000348323789 to 6 decimal places. -0.000035 Round 1445221.215 to the nearest 100. 1445200 What is 2.162889604 rounded to 3 decimal places? 2.163 What is -0.000036672015 rounded to six decimal places? -0.000037 What is -0.000103049903 rounded to seven decimal places? -0.000103 What is 32660.06671 rounded to the nearest ten? 32660 What is 142677259.7 rounded to the nearest 1000000? 143000000 What is 27.808847
{ "pile_set_name": "DM Mathematics" }
= 0, 2*v + 3*m = -11 for v. -4 Solve a = 2, 4*p - 4*a - 14 = -42 for p. -5 Solve 9 = 3*x, 2*x + 0*x - 26 = -5*t for t. 4 Solve -4*t = b + 22, 4*t - 4*b - b + 10 = 0 for t. -5 Solve 0 = -p + 1, 3*p - 3 + 2 = w for w. 2 Solve 4*s + 0*a + 8 = -a, 5*a = -20 for s. -1 Solve -4 = m, m - 4 = -5*n - 18 for n. -2 Solve -10 = 4*d - 2*k + 4*k, -k - 1 = d for d. -4 Solve 2*d - 2 = 0, 5*g = -17*d + 18*d - 6 for g. -1 Solve 4*c - 1 - 1 = -2*a, -3*c = 0 for a. 1 Solve 4*m + 3*z + 35 = 0, -2*z - 8 = 2 for m. -5 Solve 2*u + 14*x = 11*x - 4, -18 = 4*u + x for u. -5 Solve 5*t + 4*z = 13, -2*t + 4*z - 2 = 2*z for t. 1 Solve -16 = -4*l, -3*w - l - 2 = -5*w for w. 3 Solve 52*p - 48*p - 4 = 2*r, -r = 8*p - 28 for r. 4 Solve 4*q + 2*d + 10 = 0, 0 = 5*q - 3*d + 5*d + 11 for q. -1 Solve 10 = -5*a - 3*s, 2*a - 3*s - 11 = 6 for a. 1 Solve -3*s - 34 = -4*r - 14, 10 = -s + 2*r for s. 0 Solve -4*i + 3*p = -0*p + 16, i + 4 = -4*p for i. -4 Solve 3*n - 19 = -5*t, 20*n + 4*t = 15*n + 23 for n. 3 Solve 0*q + q + 6 = u, 0 = 3*u + 2*q - 13 for u. 5 Solve -3*j + 2 = -2*a, -47*j + 46*j = 2 for a. -4 Solve -5*r + 7 = -i, -55*r + 3*i - 1 = -51*r for r. 2 Solve -2*u = -4*k + 22, k = -2*k - 3*u + 3 for k. 4 Solve 0 = -2*d + 4*v - 22, 11 = 5*d + 20*v - 19*v for d. 1 Solve -16 = 2*n, -4*t = -5*n - 37 + 9 for t. -3 Solve 2*d - n = -11, -6 - 19 = -5*n for d. -3 Solve 0*k + 2*j = -4*k - 16, -4*k = -2*j + 16 for k. -4 Solve -30 = -5*f, 0 = -5*n + 5*f - f - 19 for n. 1 Solve 68*w + 4 = -4*q + 73*w, 4*w = q + 1 for q. -1 Solve -21 = -l + 5*m, 3*l + 4*m + 4 = -9 for l. 1 Solve 2*t - 3*f = -f + 4, 3*f + 18 = -3*t for t. -2 Solve 5*y - f + 16 = 0, 5*y - 3 + 31 = -2*f for y. -4 Solve l - 4*v = 3*l, -4*l = 3*v for l. 0 Solve 3*i - 22 = 5*o, 4*i - o + 1 = 2 for i. -1 Solve -104 = -y + j - 111, 0 = y + 5*j - 17 for y. -3 Solve -2*g + 0*w + 20 = 5*w, 2*g = -2*w + 14 for g. 5 Solve -7 = 29*a - 24*a + 2*o, -2 = -a + 3*o for a. -1 Solve 14*w = 4*u + 11*w, 3*u = 4*w + 7 for u. -3 Solve q - 50*p - 1 = -51*p, 3*p - 1 = -2*q for q. 2 Solve -50 = -3*d - 0*y + 5*y, 0 = 2*d + 3*y + 11 for d. 5 Solve 4*d = -2*s + 6, -15*d = -17*d - 4*s + 18 for d. -1 Solve -3*t + 2*d + 6 = 0, 4*t - 3*d - 9 = 5*t for t. 0 Solve 2*x - 5*q - 18 = -20, 0 = 2*x - 2*q - 4 for x. 4 Solve -4*u + 2*d = 0, -3*u - 3*d = -u + 8 for u. -1 Solve -9 = -n - 3*j, -3*j = -3*n + 5*n - 6 for n. -3 Solve -4*v = 2*n - 10, v - 5*n - 3 = -6 for v. 2 Solve 0 = t + 5*m - m + 2, -4*t - 8 = -5*m for t. -2 Solve -3*y + 4*d - 27 = 0, 3 = y + 5*d - 7 for y. -5 Solve -2*t + 4*b + 4 + 8 = 0, t - 5*b = 15 for t. 0 Solve -4*p - 2*o = -12, 0 = 5*p - 3*o + 2*o - 8 for p. 2 Solve 2*g + 21 = -5*b, -3*g + 3*b = -0*g for g. -3 Solve -5*v = 3*b - 9*v - 3, 5*v + 4 = 4*b for b. 1 Solve p = -4*f + 6*f - 7, 6 = 2*p for f. 5 Solve -2*f = -5*l - 6, -f = -2*l - 4 + 2 for l. -2 Solve 2*g - 6*a - 3 = -7*a, -2*a = -6 for g. 0 Solve 5*o + 1 = f, -3*f + 6 = -4*o + 3 for o. 0 Solve -4*p + 2*v = -29 + 61, 4*p - 5*v = -44 for p. -6 Solve -4*g + p = 0, 13*p = 10*p for g. 0 Solve 0 = 4*y - 8, -5*m + 157 = 5*y + 167 for m. -4 Solve 9 = -3*q + 4*c, -5*q + 4*c - 6*c + 11 = 0 for q. 1 Solve 3*t - 16 = -5*u, -5*u + t = -33 + 25 for u. 2 Solve 5*r - 27 + 1 = -x, -4*x = 5*r - 29 for x. 1 Solve -2*y + 31 = b + 4*b, 3*y + 1 = 2*b for y. 3 Solve -15 = x + 3*a, -x + 20*a = 22*a + 12 for x. -6 Solve 5*x = 2*s + 18, 7*x - 3*x - 20 = 3*s for x. 2 Solve -17 = 4*i + 3*y, -2*i - 5 = -y + 6 for i. -5 Solve 26*o = 30*o + 4, -2*i + 4*o - 2 = 0 for i. -3 Solve -6 = -5*g + o + 11, 0 = 3*g - o - 11 for g. 3 Solve -4*q = 5*x + 25, 4*q + 10 = x - 9 for q. -5 Solve -3*j + 35 - 26 = -p, 2*p = -5*j + 26 for p. 3 Solve 0 = 4*y - q + 10, -3*y - 1 = q - 5*q for y. -3 Solve 0*b = 2*b - r + 8, 3*r = 3*b + 12 for b. -4 Solve 4*o + 23 = -3*f - 0*o, -2*f = -5*o for f. -5 Solve -5*j + 4*c + 698 = 667, -5*c = 20 for j. 3 Solve 0*v = 4*v + 3*m - 25, m + 5 = 2*v for v. 4 Solve -47*p + 44*p = u, 1 = -u - 4*p for u. 3 Solve -j - 4*j + 4*c - 20 = 0, -5*j + c = 5 for j. 0 Solve 4*y + 2*n = 10 - 32, y = -3*n - 8 for y. -5 Solve 0 = 4*m - 3*d - 47, -28 = -m + 576*d - 572*d for m. 8 Solve 5*k - 45 = 5*d, -2*d - 25 = -5*k + 8 for d. -4 Solve -5*a + 3*l = 38 - 8, -5*l = -25 for a. -3 Solve -2*r = -5*d - 16, 0*d + 3*d - r + 10 = 0 for d. -4 Solve 24 = 5*k + y + 8, -20 = 5*y for k. 4 Solve 0 = -s + 3*s - 2*i + 14, -4*i - 7 = 3*s for s. -5 Solve -15*d + 3*q - 12 = -17*d, -2*d = -q + 4 for d. 0 Solve p = -u + 3, 0 = -p + 6*u - 11*u - 1 for p. 4 Solve -9*h - 10 = -7*h - i, 3*h + 20 = 4*i for h. -4 Solve -5*n - 4*f + 9 = 0, -2*n + 30 = -3*f - 2*f for n. 5 Solve 21 = -4*i + 5*f, 4*f + 22 - 6 = -5*i for i. -4 Solve u - 3*a = -3 + 7, 3*a + 24 = -3*u for u. -5 Solve -6 = 20*m - 19*m - 3*y, 2*m + 5*y + 1 = 0 for m. -3 Solve 4*y = 4*r, -5*y - 15*r + 30 = -10*r for y. 3 Solve 0 = 5*d - 8*d - 2*s - 22, 4*d + 1 = 3*s for d. -4 Solve -2*v + 1 = 21*n - 20*n, -29 = 2*v - 5*n for v. -2 Solve 9*z - 18 = -4*t + 7*z, -5*z + 35 = 5*t for t. 2 Solve 2*c = -4*i - 6, -9*i = -10*i - 1 for c. -1 Solve 3*r - x - 22 = 0, 3*r + x = -r + 20 for r. 6 Solve -17 = n - 5*v, -2*n - 3*n - 4*v = -2 for n. -2 Solve 5*k + 4*r + 26 = 0, k + r + 10 = -r for k. -2 Solve 5*a - 2*a - 10 = -5*p, -5*p = 5*a for p. 5 Solve -2*p = -4*q + 20, -2*p - 11*q + 8*q + 15 = 0 for p. 0 Solve 4*s = -0*s + 5*r - 8, 4*s + r = -8 for s. -2 Solve -4*b + 130*z + 28 = 126*z, -4*b - 3*z = 0 for b. 3 Solve 5*y - 6 = -3*w + 16, -3*y + 3*w = -18 for y. 5 Solve -5*n + u + 3*u = -4, 0 = -4*n + 4*u for n. 4 Solve -b + 3*m = 2*b - 21, 5*b + 2*m = 0 for b. 2 Solve 4*w + 26 = 5*b - 3*b, -2*w = 14 for b. -1 Solve f + 5*y - 15 = 0, 11*f - 12 = 15*f + 2*y for f. -5 Solve -3*z - 7*q = -3*q + 4, 28 = 2*z - 5*q for z. 4 Solve 0 = j + 10*m - 47, 4*m - 24 = 3*j + m for j. -3 Solve c + 4*h = 12, -5*c = 4*h - 5 - 7 for c. 0 Solve 4*v - 2*o = -14, -v + 5*o + 1 + 0 = 0 for v. -4 Solve c = 4*b - 7, -2*b + 4 = -2 for c. 5 Solve 5*v + 3*g = 13, -5*g - 10 = -v + 3*v for v. 5 Solve g - 2 = 0, -l = -3*g + 42 - 41 for l. 5 Solve 4*q + 0*m = -m, -2*q = -2*m + 10 for q. -1 Solve q - 13 = 2*w - 0*w, -2*w + 5 = 5*q for w. -5 Solve -5*x = -2*v, 2*v = 3*v for x. 0 Solve a - 2*m = 6*a + 16, 0 = -5*a - 3*m - 19 for a. -2 Solve 8*m - 2*r + 5 = 9*m, -2*r = -2 for m. 3 Solve 4*z - 6 = i, 0 = 3*i + 2*i - 2*z + 12 for i. -2 Solve -28 = 38*c - 43*c + o, 2*c - 16 = 2*o for c. 5 Solve -4*w + 12 = 0, -3*w = -5*z - 20 - 14 for z. -5 Solve -3*u + 8*u - x + 23 = 0, -2*x - 6 = 3*u for u. -4 Solve -28*v = -w - 31*v - 5, -4*v = 4*w - 4 for w. 4 Solve -2*o + x - 8 = -1, o + 4*x - 1 = 0 for o. -3 Solve -5*c + 5 = -4*w - 0*c, w = 4*c + 7 for w. -5 Solve -3*x - 3 = 0, -2*x - 2 + 4 = -4*s for s. -1 Solve 0 = -5*a - 10, w = 4*w + 3*a + 3 for w. 1 Solve -5*y - 4*z = 0, -21 = -y - 0*y - 5*z for y. -4 Solve 5*k - 2*z = -26, 15*k + 3*z + 7 = 11*k for k. -4 Solve 5*g = 2*c - 25, 4*c + 3*g = 3*c - 4 for c. 5 Solve g - 5*d = -0*g, 0 = 2*g - 3*d for g. 0 Solve 0 = -v - 2*c, 6 = 4*v - 11*c - 32 for v. 4 Solve 2*l + 8 = -2*p, -3*p - 2*p - 25 = 0 for l. 1 Solve -13*b = -8*b + y + 5, 3*y = -b + 13 for b. -2 Solve 0 = f - 2, 3 - 7 = -4*j - 4*f for j. -1 Solve -4*q - 4 = 0, 2*l - 4*q - 11 = -3*q for l. 5 Solve r = -2*s - 1, 4*r - 11 = -3*s + 5*r for s. 2 Solve -4*z + 12*d + 6 = 10*d, 0 = -5*z + d for z. -1 Solve -2*m = -4*i - 30, 59*m - 5 = 60*m + 2*i for m. 5 Solve 2*z - 10*l = -12*l - 16, -26 = 2*z + 4*l for z. -3 Solve -39 + 60 = j - 5*x, -5*j - 3*x - 35 = 0 for j. -4 Solve a + 4*f = -2, -2*a + 5*f + 2 - 6 = 0 for a. -2 Solve -3 = -b + w, 3*w = -6*b + b - 1 for b. 1 Solve 2*h + 0 - 8 = 0, 4*h - 12 = 2*k for k. 2 Solve -3*c + 4*r - 14 = 2*r, 5*c = r - 14 for c. -2 Solve -4*w - 12 = 2*k, -5*k + 3 = 5*w + 8 for k. 4 Solve c + 5*s = -48, c + 0*c - 6 = s for c. -3 Solve -4*l + 19*w - 7 = 22*w, 5 = -2*l - w for l. -4 Solve 3*s = 2*j + 4, -10 = -4*s - 5*j + 3*j for s. 2 Solve -5*c + 0*q = 4*q, -3*q = 4*c + 1 for c. -4 Solve -3*t - 2*i - 17 = 0, t + i + 18 = 11 for t. -3 Solve -o - 4 = t, -5*o - 3*t + 7 = 25 for o. -3 Solve -2*g - 3*v - 2 = -g, 3*v + 10 = -5*g for g. -2 Solve -3*l + 5*d - 29 = 0, 5 = 2*l - l + 2*d for l. -3 Solve 2*o + 4*d + 2 = 0, -7*o - 11 = -2*o + 4*d for o. -3 Solve 6*r = 3*r - 2*i + 8, 4*r + 5*i - 13 = 0 for r. 2 Solve 5*f - 8 = -3*i - 1, -3*i = -1
{ "pile_set_name": "DM Mathematics" }
-12 Which is the nearest to 2? (a) -0.3 (b) -14 (c) 0.1 (d) 23 (e) -8 c Which is the nearest to 1/4? (a) 4.76 (b) 122 (c) -2/3 (d) 0.3 d Which is the nearest to 2? (a) 217 (b) -2/11 (c) 0.5 (d) 4 c What is the nearest to -1 in -5519, 0, -7? 0 Which is the closest to 2/9? (a) 328 (b) -1/3 (c) -0.4 (d) -1/2 b Which is the closest to 2? (a) -122 (b) 3 (c) 0.2 (d) 6 (e) 4 b Which is the nearest to 0.1? (a) -0.139 (b) 0.45 (c) -5 a Which is the closest to 156? (a) -7 (b) 1/4 (c) 0.8 (d) 0 c Which is the closest to 1? (a) 27749 (b) -1/4 (c) 3 b Which is the closest to 0.6? (a) -8 (b) 3 (c) 0.3 (d) 7 (e) 9 c What is the closest to -37 in -0.366, -2, 0.5? -2 Which is the closest to 1? (a) -2 (b) -1 (c) -0.2 (d) -3 (e) 782 c What is the nearest to -6.7 in -0.46, 0.1, -1/5, -2/9? -0.46 What is the nearest to -0.07 in 3, 3/7, 0.1, -1/8, -2/545? -1/8 What is the nearest to 0 in -6.2, -5/9, 2? -5/9 Which is the closest to 1/48? (a) -2/3 (b) -170 (c) -2/19 (d) 0 (e) -3/4 d What is the nearest to -1/2 in -8, 0.037, 11? 0.037 Which is the nearest to -0.16? (a) 5 (b) 4 (c) -33 (d) 6 b What is the nearest to -13.6 in -0.9, -1/3, -2, 0.2, 5? -2 What is the nearest to 52 in -1067, -1/7, -2? -1/7 What is the closest to -2/7 in 2/33, 0.017, 0, -27/4? 0 What is the closest to 2/33 in -1, 2, 7? -1 Which is the nearest to -7? (a) -0.5 (b) 369 (c) 1/18 a Which is the closest to 2/9? (a) -3/41 (b) 0.1 (c) 9/25 (d) 1/2 b What is the closest to -1/2 in 143, -2, -0.2, 1.3? -0.2 What is the nearest to -1 in -1/3, 0.0588, -10, 4? -1/3 Which is the closest to 0.5? (a) 4 (b) 10 (c) -0.5 (d) 0.4 d Which is the nearest to 8? (a) 0.1 (b) -3/7 (c) -14/53 (d) 0.4 d Which is the nearest to -1? (a) 2 (b) -1 (c) -0.3 (d) -5 (e) -6.3 b Which is the nearest to 2? (a) 10/51 (b) -1 (c) 9 (d) 0 a What is the nearest to 4 in 3, -41.1201, 3/4? 3 What is the closest to 0 in -0.1, 2, 366, 4, 2/25? 2/25 Which is the nearest to 7? (a) 5 (b) 2/5 (c) -12 (d) -2/5 (e) 22 a What is the nearest to 1 in 2/3, 2, -0.3, -7/9, 6? 2/3 What is the closest to -7 in 29, 1/3, -0.2, 6/7, 5? -0.2 What is the closest to -11 in -0.6, 1/4, 926, -1/3? -0.6 What is the closest to -0.2 in -4/5, -68/5, 5? -4/5 Which is the nearest to 0? (a) -3/2 (b) -2/39 (c) -0.0221 c Which is the closest to -0.25? (a) -49 (b) 0.5 (c) -0.05 (d) -2 (e) -0.4 e Which is the closest to 2/7? (a) 2/11 (b) 72 (c) 1.1 a What is the closest to 1 in 14, 50, 0.3, -1/5? 0.3 What is the closest to 1/4 in -41, 22, 3? 3 Which is the closest to -1782? (a) 1 (b) -2/15 (c) 7 (d) 3 b What is the nearest to 0 in 0.3, 0.2, 69, -2, 0.1? 0.1 What is the closest to 0.42 in -3, 3.2, 0.2, -2/3? 0.2 Which is the nearest to 0.1? (a) -72 (b) -1 (c) 0 c What is the nearest to 0.1 in 219, 3/2, 0, 9? 0 What is the closest to -2/619 in 4, -1, -24, -0.5? -0.5 Which is the closest to -0.1? (a) -4 (b) -3 (c) -0.0856 c What is the closest to 0 in -5, -1/7, -16/3, -0.017? -0.017 What is the closest to 5 in -2/3, 3.5, -2? 3.5 What is the closest to -1 in -0.08, -19, -2? -0.08 What is the nearest to 0.1 in -1437, -0.2, 3, 1/4? 1/4 Which is the closest to 1/2? (a) -1/6 (b) 33 (c) 0.3 (d) 2 c What is the nearest to -0.1 in -57, -4, -873, -1/6? -1/6 What is the nearest to -0.3 in 0, -1, 5/3, 112, -3/8? -3/8 Which is the nearest to -0.1? (a) 0.4 (b) -3/16 (c) 0.8 (d) -3 b Which is the nearest to 14? (a) -2 (b) -3 (c) -0.306 c Which is the closest to 0.3? (a) 3 (b) 6 (c) -7516/9 a What is the closest to 0.5 in -8/3, -0.2, 2? -0.2 Which is the nearest to 5/8? (a) -462 (b) -4 (c) 2 (d) 1/5 d Which is the nearest to 63? (a) 0 (b) -1 (c) -1/831 a What is the nearest to -0.2 in 22024, -3, 0.5, 0.4, 4? 0.4 What is the closest to -3227 in -11, 1, 2/9, 0, -2? -11 Which is the nearest to -1? (a) -0.2 (b) 0 (c) -6.3 (d) -75 a Which is the closest to 1/10? (a) -3 (b) 5/4 (c) 2/13 c What is the closest to -4.6384 in 2/9, 0, -2/3, 1? -2/3 Which is the nearest to -0.3? (a) 3/5 (b) 2 (c) 4/5 (d) -5/3 a Which is the nearest to 0? (a) 1 (b) -5/4 (c) 9/5 (d) 0.04 (e) 5 d What is the nearest to 0 in -3.1, -0.08, -1/34? -1/34 Which is the nearest to 1? (a) -3584 (b) 2/19 (c) 1/5 (d) 1/7 c Which is the nearest to -21.6? (a) -0.03 (b) 1.1 (c) 4 a What is the nearest to 14 in -66, 0, -3, -3/4? 0 What is the nearest to 0 in 29, 83/11, -5, -0.3? -0.3 What is the closest to -0.3 in 4, -2/217, 2/21, -0.02? -0.02 What is the nearest to -0.01 in -11, 1, -2/33, 2/5? -2/33 Which is the nearest to -0.2079? (a) 1 (b) -3/4 (c) -4 (d) -0.2 d Which is the nearest to -1.24? (a) -2/11 (b) -4/7 (c) -0.088 b What is the closest to -0.1 in 0.4, 5.19, -95? 0.4 What is the closest to -1 in -710, -3/4, -1/4, -9? -3/4 Which is the nearest to -0.067? (a) 9 (b) 0.4 (c) 0.01 (d) -2 c Which is the closest to -0.07? (a) 13 (b) 4/3 (c) 18 (d) 3/7 d What is the closest to -1 in 2, -9/5, -11.1? -9/5 What is the nearest to 469 in -4/7, 3/2, -3? 3/2 Which is the closest to -0.13? (a) -1.2 (b) 2123 (c) 0.4 c Which is the nearest to -2/27? (a) -3 (b) -0.3 (c) -4 (d) 5/2 b Which is the closest to 742? (a) -292 (b) -3/8 (c) 0 c Which is the nearest to -8? (a) -2 (b) 1 (c) 0.1153 (d) 2/17 a What is the nearest to 1 in 22/5, 2, -1, 2.05? 2 Which is the closest to -0.1? (a) 2 (b) 1 (c) -9714 (d) 0 (e) 0.2 d Which is the nearest to -0.01? (a) 36 (b) 420 (c) 1 c What is the nearest to -106 in -15, -0.6, -1/7, 0.2? -15 Which is the nearest to 0.05? (a) 3 (b) -2/9 (c) -209.2 (d) -1/2 b Which is the nearest to -2? (a) 659 (b) 1 (c) 0 (d) 0.08 c What is the closest to -2 in -5, -0.6, 10? -0.6 What is the nearest to 2/5 in 9997, 5, -4? -4 What is the nearest to 14 in 1, -0.5, -3, 0.3, 6? 6 Which is the nearest to -0.3? (a) 0 (b) -0.04 (c) 11.17 b What is the closest to -1/3 in -0.021, 1.57, -1/10, -2/9, 0.1? -2/9 What is the closest to 0.74 in 0, -14, 1, 0.4? 1 What is the nearest to 2/11 in -4, -477, 3, 4, -8? 3 What is the closest to -2 in 0.4, -19.61, -2, 0.023? -2 What is the nearest to -2144 in 5, -9, 2, 11? -9 Which is the closest to -3/43? (a) 5 (b) 3 (c) 16 b What is the nearest to 2/5 in 538, 1/2, 5/26? 1/2 What is the nearest to 1 in 3, 167.9, -0.1? -0.1 Which is the closest to -0.67? (a) -11 (b) -1 (c) 1/33 b What is the nearest to 2/5 in -3/1099, 58, -1/3? -3/1099 Which is the closest to 1? (a) -1/19 (b) -8 (c) 3.5 (d) 4 a What is the closest to -1 in 3, -3, -0.02, 10/4721? -0.02 Which is the closest to -3? (a) -2/15 (b) -3 (c) 14/3 (d) -1/5 (e) -1/6 b What is the closest to -0.6 in -2/23, -0.4, 3/44, -3? -0.4 Which is the closest to 3? (a) -0.2 (b) 4 (c) 6/911 b What is the closest to 1/3 in 0.3, -344/27, 2/5, 0.1, 0.2? 0.3 What is the closest to 28971 in -0.5, -3/2, 3? 3 What is the closest to -6 in 3/4, -22, 0.1, 3/8? 0.1 Which is the closest to 98? (a) -20 (b) 5 (c) -0.05 b What is the closest to 1 in 1/11, 3/13, -0.5, -0.02, 2/5? 2/5 What is the nearest to 2 in 2/5, 709, -2/269? 2/5 What is the closest to -10 in -13, -0.4, -1/4, 1, 0.06? -13 Which is the closest to -1? (a) 4/5 (b) -1/2 (c) 2.2 (d) 1 b Which is the closest to 34? (a) -20 (b) 0.32 (c) -3 (d) -1/5 (e) 0.5 e What is the nearest to 324 in -0.1, -2/7, 2/9, 3? 3 What is the closest to -19/7 in 1/4, 5, -4? -4 Which is the closest to -11? (a) -2 (b) -186 (c) -6 c Which is the nearest to 405? (a) 1/4 (b) -6 (c) -0.1 a Which is the nearest to -0.1? (a) 0.2 (b) -21 (c) 0.3 (d) -0.1 (e) 17 d What is the closest to 2 in 5, -123, 14, -5? 5 What is the closest to 0.05 in 39.1, -3, -0.5? -0.5 What is the closest to -42 in 2/5, 2/3, 0.13, -3, -0.1? -3 Which is the closest to -2? (a) -129 (b) 5/7 (c) 2/5 (d) -131 c What is the nearest to -0.4338 in -0.4, 2/15, 0.08, -4? -0.4 What is the nearest to -2/3 in 5, -2, 1/6, 0.01635? 0.01635 Which is the nearest to 1/2? (a) -4437 (b) -11 (c) -0.4 (d) 0.4 d Which is the nearest to 0.1? (a) 0 (b) 1/37 (c) 3542 (d) -2 b What is the closest to -0.7 in 13/3, -1, -23/5, 1/3, -2/9? -1 What is the closest to 21 in 2/13, -1/3, 2? 2 Which is the closest to -1? (a) -1483 (b) -2/13 (c) 1 b Which is the
{ "pile_set_name": "DM Mathematics" }
ime factors of v. 2 What are the prime factors of (57/(-6) + 1)*(-41 - -5)? 2, 3, 17 Suppose 0 = -0*i + i. Suppose -5*b + i*b - 15 = 0. What are the prime factors of (2/(-1))/(b/9)? 2, 3 Suppose 6 = 3*t - 3, n = -2*t + 53. List the prime factors of n. 47 Let r(n) = 7*n - 3. Let s(z) = -7*z + 4. Let i(l) = -3*r(l) - 2*s(l). Let f(h) = -6*h + 1. Let y(o) = -4*f(o) + 3*i(o). List the prime factors of y(1). 2 Let f(g) = -30*g + 8. Let t be f(-6). What are the prime factors of t/12 + (-6)/9? 3, 5 Let m be (5 - 5)/(-1 - 0). Suppose m = -4*n + 2*n - 8. Let l = n - -10. What are the prime factors of l? 2, 3 Let j = -11 + 5. What are the prime factors of (j/3)/(2/(-2))? 2 Let l(g) = -9*g - 46. List the prime factors of l(-10). 2, 11 Suppose -a - 206 = -3*a. List the prime factors of a. 103 Let k(a) = a**3 - 10*a**2 - 11*a - 4. Let q be k(11). Let c(w) be the second derivative of -5*w**3/6 + 3*w**2/2 + w. What are the prime factors of c(q)? 23 Let y = 20 + -69. Let d = 78 + y. What are the prime factors of d? 29 Suppose 6*x - 308 = 2*x. What are the prime factors of x? 7, 11 Let m(g) = -2*g**2 + 3*g. Let b be 3 - 3*2/6. Let w be m(b). List the prime factors of 9 + 2/w + 2. 2, 5 List the prime factors of ((-4520)/(-70))/((-2)/(-7)). 2, 113 List the prime factors of 14 - (3 + -2 + -2). 3, 5 Let f(p) = -5*p + 1. Let o be f(-1). Suppose -2*c + 12 = d, -2*d + 46 - 12 = -c. Let t = d - o. List the prime factors of t. 2, 5 Suppose 2*z - 3*d = 6*z - 241, 2*z + 5*d - 131 = 0. List the prime factors of 8/(-4)*z/(-4). 29 What are the prime factors of (-4221)/(-77) - 6/(-33)? 5, 11 List the prime factors of -3*(-8)/(-12) + 4. 2 Suppose 3*k + 2*i + 74 = 0, k + 0*i + 36 = 5*i. Let g be k/(-3) + 7/21. List the prime factors of (g/(-3) + -2)/(-1). 5 Let a(s) = s - 7. Let u(r) = -r**3 - 9*r**2 - r. Let b be u(-9). List the prime factors of a(b). 2 List the prime factors of (5 + (2 - 8))/((-2)/398). 199 Let t be 21/(-15) - 4/(-10). Let y(g) = -26*g. List the prime factors of y(t). 2, 13 Suppose -2*d + 312 = 5*k - 3*k, -5*d + 760 = k. What are the prime factors of d? 151 Let t = 355 + -194. What are the prime factors of t? 7, 23 Let c(a) = 13*a**3 - a**2 - 3*a + 2. What are the prime factors of c(2)? 2, 3 Suppose -2*m + 138 = 4*g, 32 = -2*g + 3*g - 2*m. Let l = -3 + -14. Let i = g + l. What are the prime factors of i? 17 Let w(r) = -4*r**2 + 16*r - 4. Let h(l) = 3*l**2 - 15*l + 4. Let v(u) = -3*h(u) - 2*w(u). What are the prime factors of v(9)? 2 Let z = 8 + 121. What are the prime factors of z? 3, 43 Let m = 100 + -54. Suppose 5*z + 6 - m = 0. Suppose r - 3*r = -z. List the prime factors of r. 2 Let l(p) = 2*p**2 + 2*p + 2. Suppose 0 = -s + 4*s + 9. List the prime factors of l(s). 2, 7 What are the prime factors of 3*(-1)/3 + 23? 2, 11 Suppose -h - 3*h + 144 = 0. What are the prime factors of h? 2, 3 Let b(r) = -r**3 - 8*r**2 - 8*r. What are the prime factors of b(-8)? 2 Let p(s) = -13*s + 5. List the prime factors of p(-3). 2, 11 Let t(i) = 8*i**3 + i**2 - i. List the prime factors of t(1). 2 Let j(a) = -10*a + 1. Let i be j(-1). Suppose 5*m + b + 33 = 0, 2*m - 3*m = -5*b + 17. Let t = i + m. What are the prime factors of t? 2 Let b(r) = r - 5. Let s be b(6). Suppose -4*x + 2*p - 18 = -0*p, -3*x - 16 = p. Let u = s - x. What are the prime factors of u? 2, 3 Suppose 0*c + 56 = 4*c. Let m = -20 + c. What are the prime factors of -8*(3/m - 0)? 2 Let y(u) = u - 2. Let d be y(9). Let t = d + 22. List the prime factors of t. 29 Let d(v) = -v**3 + 4*v**2 - v - 4. Let p be d(4). What are the prime factors of ((-22)/4)/(4/p)? 11 Let k(u) = -1. Let q(y) = y - 15. Let s(t) = 4*k(t) - q(t). Let j = 6 - -2. List the prime factors of s(j). 3 Let i = 138 - 82. List the prime factors of i. 2, 7 Suppose -46 = -2*r + 3*w + 7, -4*w - 150 = -5*r. What are the prime factors of r? 2, 17 Let p(x) = 2*x**2 - x - 1. Let b be p(-1). Suppose b*q - 3*r + 17 = 0, 1 - 7 = -4*q - 2*r. Let l(j) = 9*j**2 + 1. List the prime factors of l(q). 2, 5 Suppose -2*p = -3*p + d + 7, 5*p - 4*d = 34. Let h = -1 + 4. Suppose h*l + p = 30. What are the prime factors of l? 2 Suppose k = -2*k + 3*l + 69, -2*k + 51 = -3*l. Suppose -4 = o, -4*f + k = -o - 54. What are the prime factors of f? 17 Let j(a) = 53*a - 5. What are the prime factors of j(4)? 3, 23 Let v = 74 + -49. Let z = 10 + v. What are the prime factors of z? 5, 7 List the prime factors of ((-7)/(-21))/(1/345). 5, 23 Suppose 3*b + 3 - 12 = 0. Let w(p) = 2*p**3 - 4*p**2 - p - 1. Let j be w(b). Suppose 0 = -2*r + j + 16. What are the prime factors of r? 3, 5 Suppose -4 = -r - 5*z - 1, 0 = 3*r + 4*z - 9. Suppose 2*y = 21 - 5. Let t = r + y. List the prime factors of t. 11 Let p(h) = -11*h - 13. What are the prime factors of p(-7)? 2 Let o(q) = 190*q - 2. Let i be o(-3). List the prime factors of 6/15 + i/(-20). 29 Let t(f) = -4*f**2 + f. Let m be t(-1). Let v = 14 + m. List the prime factors of v. 3 Let y be (18/(-12))/((-2)/12). Suppose -l + 6 + y = 0. What are the prime factors of l? 3, 5 What are the prime factors of (-20 - -3)/(3/(-6))? 2, 17 Let r = -4 - -3. Let v = -1 + r. List the prime factors of (-15)/(-2) - (-1)/v. 7 Suppose 4*w = 12 - 0. Let y = -44 - -49. Suppose -y*k + 33 = -3*s - 20, -w*s = 3*k - 51. List the prime factors of k. 13 Let g(z) = -z + 4 - 18*z - 5 + 2. Suppose k - 7 = 2*m, k + 0*k - 3 = m. List the prime factors of g(k). 2, 5 Let w = -82 - -158. What are the prime factors of w? 2, 19 Let v = -18 - -9. Let c(j) = j**3 + 10*j**2 + 10*j + 12. List the prime factors of c(v). 3 Let v(a) = -a**3 + 11*a**2 + 5*a - 9. What are the prime factors of v(11)? 2, 23 Suppose -5*b + 5*o - 50 = 0, 2*o + 3*o - 32 = 2*b. What are the prime factors of (1*-2 - b) + -1? 3 Suppose -108 + 300 = 4*f. Let y = -19 + f. Suppose -2*k + g = 3*k - 23, 2*g - y = -5*k. What are the prime factors of k? 5 Let p(m) = 3*m**2 - 3*m + 2. Let o be p(-4). Suppose -u = u - o. What are the prime factors of u? 31 Suppose 4*x + 2 + 4 = -2*g, 4*g + 4*x + 8 = 0. Let b = g + 6. List the prime factors of b. 5 Let i(f) = 2*f**3 - 3*f**2 - f + 2. Let o be i(2). Suppose -4*c = 3*j - 38, 3 = -o*c + 5*j + 25. What are the prime factors of c? 2 What are the prime factors of 36732/90 + (-6)/45? 2, 3, 17 Let w(q) = -q + 2. Let f(y) = y. Let z(j) = 3*f(j) - w(j). List the prime factors of z(1). 2 Let a(u) = u**3 - 16*u**2 - 10*u + 35. List the prime factors of a(17). 2, 7, 11 Suppose 5*x = 5 + 5. Let v = 0 + x. Suppose -4*z = 18 + v, q - 4*z - 24 = 0. What are the prime factors of q? 2 Suppose 3*b - 4*u - 29 = 185, -54 = -b - 3*u. List the prime factors of b. 2, 3, 11 Let x(v) = -2 + 0 + 0 - 8*v. Let n be x(-2). Let w = n - 3. What are the prime factors of w? 11 Suppose 4*m = o + 10, 0*o + 5*m = -2*o - 85. Let k = -17 - o. Let s = k + -4. What are the prime factors of s? 3 Let c = 87 + -149. Let o = -36 - c. List the prime factors of o. 2, 13 Suppose 0 = -3*t + 12 - 78. What are the prime factors of (-546)/(-22) + (-4)/t? 5 What are the prime factors of (-2 + 2 - 160/(-2))/1? 2, 5 Let k = 81 - 55. List the prime factors of k. 2, 13 Let r(m) be the first derivative of m**4/4 - 11*m**3/3 - m**2/2 + 15*m + 2. What are the prime factors of r(11)? 2 Suppose -5*l = 5*j + 20, j + 0*j = 2*l - 4. Suppose 0*w = -f - 2*w + 12, -4*f + 4*w + 12 = l. List the prime factors of f. 2, 3 Let m = 20 - 3. Let p = m + 23. List the prime factors of p. 2, 5 Suppose 0 = -4*w + 4, -4*q + 5*q + 3*w = -4. Let x(c) = -4*c + 4. Let m be x(-4). Let k = m + q. What are the prime factors of k? 13 Let g(s) be the third derivative of s**5/60 + s**4/8 - 7*s**3/6 + 2*s**2. Let z be g(-5). Suppose -5 - 1 = -z*w. What are the prime factors of w? 2 Let z(l) = l + 2. Let a be z(0). Let x be 9/(a - (2 + -1)). Suppose i - x = 6. List the prime factors of i. 3, 5 Suppose b + 15 = 3*h + 3*b, -9 = -h - 2*b. Let k be ((-2)/h)/((-4)/30). Suppose 0 = -2*g - 4, -k*a + 10 = -2*a + g. What are the prime factors of a? 2 Let v be (-60)/(-9)*(-24)/(-10). What are the prime factors of v/((-3)/(9/(-3)))? 2 Suppose -3*x - 5*y + 1 = 0, -5*x = 3*y - 7 - 0. Suppose -7 - 33 = -x*p. List the prime factors of p. 2, 5 Let a(h) = -h**2 - 11*h + 7. Let q be a(-9). What are the prime factors of q/3 - (-3)/(-9)? 2 Suppose 5*w + 4 = 3*d - 6, 2*w + 8 =
{ "pile_set_name": "DM Mathematics" }
fy ((i**(-4)*i*((i*i**7*i)/i)/i)/(i**(-1)/(i**(-7)/i)))/((i**(2/7))**(2/73)/(i**(-1/7)/i**(-2/11))) assuming i is positive. i**(-2384/803) Simplify ((d/(d*((d/(d**(1/9)*d))/d)/d))**(-18)/(d**(-7)/d*d/(d*d**(-25))))**(1/22) assuming d is positive. d**(-5/2) Simplify (j*j**(-1/4)*j*j**(-4)*j**1/j*j**(2/17))/((j**1/j)**(3/7)/(j**(-2/5)*j)**(2/11)) assuming j is positive. j**(-7567/3740) Simplify (d*d**(-1))/d**(-1/3)*d**(4/3)*d**(2/9)*d*((d/d**(-1/10))/(d*(d**(3/8)*d)/d))/(d**(2/5))**(-10) assuming d is positive. d**(2381/360) Simplify a*(a*a**(1/4))/a*a*((a*a/a**(3/2))/a*a)/a*a*(a*a/(a/a**(2/19)*a*a))/(a**(-2)*a)*a**7*(a*a**(-1/6))/a*(a**(-1))**6 assuming a is positive. a**(841/228) Simplify u/u**(1/4)*u**(-2)*u/((u/(u**(-3)*u)*u)/u)*u**(1/3)*((u*((u/u**(-1))/u)/u)/u)**(2/45)/((u*u**(-1)*u*u)/u)**(-1/2) assuming u is positive. u**(-29/12) Simplify ((g**(3/5)/g*g**(3/5))/(g**(1/3)*g**2))/(g**(-2/7)/g**(2/5)*(g**(1/4))**(-4/11)) assuming g is positive. g**(-1567/1155) Simplify ((l*l**(1/4))**(-1/13))**0*(l*l**(-2/17)/l*l**1)**10 assuming l is positive. l**(150/17) Simplify (((o*o/o**0)/o*o**(-3))/(o*o**(1/5)*o*o*o/o**(3/5)))/(o/(o/(o/(o**0*o)))*o*o**(-6)*(o**(-2/3))**(2/25)) assuming o is positive. o**(-41/75) Simplify (((((j*j/(j/j**2*j)*j*j)/j)/j)/j)**(-3/13))**(-3/23)/(j**6/j*j*j**(-1/10)*j)**34 assuming j is positive. j**(-350682/1495) Simplify (l**0)**(-8/13)/(l**(-1))**(-2/17)*l*l**(-2/13)/l*l**0*l*(l*l**(-1)/l)**45 assuming l is positive. l**(-9784/221) Simplify ((t/(t*(t*t**(2/3))/t))**(-2/7))**(-39)/(t**(-1/2)/t*t**(4/5))**(2/147) assuming t is positive. t**(-779/105) Simplify ((i**2)**(12/7)*(i**(-2/5))**(-30))/(i**0*i*i**1/i)**6 assuming i is positive. i**(66/7) Simplify ((n*(n/n**30)/n)**(-39)*(n/(n*n/(n*n**(-7/4))*n))/((n/n**(-2/25)*n*n)/n))**(-47) assuming n is positive. n**(-5292999/100) Simplify (((o/o**(-5))/o**(-1/4)*o**(2/3)*o/(o/(o*o/o**(2/21))))**31)**0 assuming o is positive. 1 Simplify (l**(2/23)/(l*l/(l*l/(l**(-1/21)*l)*l)*l))/(l**(-2/27))**(-1/3) assuming l is positive. l**(-11608/13041) Simplify ((a/a**(-1/6))/a**7)**(-3/11)/((a*a*a*a**(-1))**(10/9)/((a*a**(-2/9)/a)/a*a*a**3)) assuming a is positive. a**(425/198) Simplify ((w**(-5)*w)/(w/w**(-2)))/(w**0*w**(-4))*(w**(-1)/w)**(1/23)/(((w/w**1)/w)/(w**(-1/4)/w*w)) assuming w is positive. w**(-215/92) Simplify (x**(1/5)*(((x*x**(-6)*x)/x)/x*x)/x)/((x/(x*x**(-1/9)))/x**(-1/7))*(x*x**0)**50*x**(-6)/((x*x*x**(-1)*x)/x) assuming x is positive. x**(11638/315) Simplify (b/(b**(-1/12)/b)*b*b/(b*b**(5/7)))**(2/19)/(((b*b/(b**(-1/2)/b))/b)/(b*b**2/b)*(b*b**0*b)/(b*((b*b**(2/9))/b)/b*b)) assuming b is positive. b**(-1231/1197) Simplify ((u**(4/9)/u*u)/u**(-2/23)*(u*u/(u/u**(2/3)))**34)**(2/7) assuming u is positive. u**(23680/1449) Simplify ((((w**(1/14))**(-38))**(-4/17))**(-2))**(9/2) assuming w is positive. w**(-684/119) Simplify m**(-4/3)/m**(1/2)*((m*m**1*m)/m)**(-12)*m**(-2/7)*m*(m*m**0)/m*m*m*(m**(-1)*m)**(-4/11) assuming m is positive. m**(-971/42) Simplify ((d/d**(-1/5))/d)/(((d**3/d)/d)/d)*(d**0)**(-31)*((d**(1/2))**(-2/35))**(-2/15) assuming d is positive. d**(107/525) Simplify ((x**(-3)/x)/(x*x/(x/x**6*x)))**(-39)*(x/x**(-1))**(-3/22)/((x/(x**(-5/6)/x))/x*x/(x/x**(-4))) assuming x is positive. x**(25865/66) Simplify ((((z**(-2/3)/z)/z)/(z*z*z*z*z*z**(2/15)/z*z))/(z/(z*z**(3/4)*z)*z**0))/(z**(1/8)*z**(1/3))**(-2/15) assuming z is positive. z**(-539/90) Simplify ((q*q**8/q)/((q**1/q)/q)*(q*q*q**0)**38)/(q*(q**(1/4)*q)/q*q*q**(-9))**(-11/2) assuming q is positive. q**(383/8) Simplify r**(-6)/r**(-2/15)*(r*r**4/r)/r**(1/7)*((r/r**(1/3))/(r*r**(-11)))**(-49) assuming r is positive. r**(-55091/105) Simplify ((w**0)**(-1/39)/(w/(w**(-1)*w))**(-3/11))/((w**(-2/3))**(-48)/(w**(1/7)*w**(2/13))) assuming w is positive. w**(-31462/1001) Simplify (((f/f**(-5/7))/f)/f*f*f/((f*(f**(1/3)/f)/f)/f))**37/((f**(-1/2)*f*f)**8/(f**(1/4)/f*f**(3/5))) assuming f is positive. f**(47437/420) Simplify (((q**(2/3)*q)/q*q*(q*q**(-3/8))/q)/(q**(-1/3)*q**(-8)/q))/((q**2)**(2/3)*(q*q**(1/5))/(q*q**(2/5)/q*q)) assuming q is positive. q**(1139/120) Simplify (i/(i/(i/(i**4/i*i))))/((i**40*i)/i)*(i**(3/22)*i)**(6/11) assuming i is positive. i**(-5128/121) Simplify ((k**(-1))**8*(k**(-1/2))**(2/155))/((k**4/k)/k**(3/2))**30 assuming k is positive. k**(-8216/155) Simplify (i**50/((i*i**11)/i*i)*i**7*i/i**(8/11))**(5/12) assuming i is positive. i**(415/22) Simplify (((((j/j**(-2/19))/j)/j)/j)/j*j*j**5*j*j/(j/j**(2/11))*j*j**2)**(-2/17) assuming j is positive. j**(-3046/3553) Simplify (((i/(i**(-37)/i))/((i*i**(1/29)*i*i)/i))/(i**(-4/5)*i)**(1/93))**(-3/25) assuming i is positive. i**(-498451/112375) Simplify ((b*b*b**(1/20)*b)**(-39)/(b**(-8/9))**(-46))**(-11/7) assuming b is positive. b**(316481/1260) Simplify (y**(-1/7)*y**(-1))**(-2/81)/(y*(y**(-4/5)/y)/y*y/((y*y**4)/y))**(-24) assuming y is positive. y**(-326512/2835) Simplify (w/((w**(2/7)*w)/w*w))**48/(w**(1/2)*w*w**8)*(w**(-2)*w/w**13)**(-41) assuming w is positive. w**(7711/14) Simplify (b**(-5)/(b/b**(5/4))*(b*b/b**(-1))/b**4)/((b**0*b*b)**(14/5)*b**7/(b/b**(2/27)*b)) assuming b is positive. b**(-8869/540) Simplify ((n*n*n**(2/5)/n*n**(-2))/(n**6*n**(-3)*n))/((n**(-1))**20)**(-10) assuming n is positive. n**(-1023/5) Simplify (g**(-2)/(g/g**3))/((g*g*g**(-4/3))/(g*g**1/g))*(g**(-3)*g/g**4)/(g**(1/8)*g**6) assuming g is positive. g**(-283/24) Simplify (z**(-3)/((z**7*z)/z)*(z*z*z**(1/4)/z)**(-1/4))/((z/z**(-1))**(-36)/(z**(-2/3))**(-19)) assuming z is positive. z**(3569/48) Simplify ((z/z**(-2/5))**25/((z/z**(-1))/(z*z**(1/4))))/((z**(2/3))**(1/40)/((z/(z/z**(-1)))/(z*z/z**(1/8)))) assuming z is positive. z**(3763/120) Simplify z*z/z**(1/2)*z/(z*z**(-2))*z*z*z**(4/3)*z**(5/4)*((z/z**(-4/5))/(z**10*z*z))**(20/13) assuming z is positive. z**(-1187/156) Simplify (l**(-14)/(((l/(l*l/(l/l**(-38))))/l)/l))/(l*(l/(l**2*l))/l)**(5/12) assuming l is positive. l**(-295/6) Simplify ((y**(-2/17))**(-34)/(y*y/((y*y/(y/y**(-2/33)))/y)*y/((y**(-1/17)*y*y*y*y)/y)*y*y))**(-26) assuming y is positive. y**(-27430/561) Simplify ((t**(-1/2)/t)/t*t/(t/(t/t**0)))/(t*t*t/t**(-2/5))**(-15/7)*((t**(-4)/t)/t)/(t*t*t**(-5)*t)*t**(1/3)/t**5 assuming t is positive. t**(-121/42) Simplify (((b/b**(-5))/(b**16/b))/((b**(-7)/b)/b*b*b**(1/7)))**(-5) assuming b is positive. b**(40/7) Simplify (k**(-2/9)/((k**(-3)/k)/k*k))/(k*k**(-1)/k)**(8/7)*(k**1/k)**(-11)*(k/(k*k**8))/((k*k/(k/k**(-4/5)))/k*k) assuming k is positive. k**(-1033/315) Simplify (((r*r**(-11)*r*r)/(r**(6/13)*r))/(r**20*r*r*r**(3/5)*r))**(-11) assuming r is positive. r**(23639/65) Simplify ((q/(q*q/(q*q**0*q))*q**(-4/5)*(q**2/q)/(q**(-1)*q))**(3/11))**(17/4) assuming q is positive. q**(153/110) Simplify ((v**(-1/8)*v**(-3))/(v/(v**3*v*v)*v/(v/((v/(v**(1/4)*v))/v))))/(v**(-1/2)/(v*v**(-5/4)))**(-37) assuming v is positive. v**(-57/8) Simplify ((x*x/x**(-1))/x**(-2/7)*(x*x*x**(-1/9)*x*x)/x**0)**(-2/39) assuming x is positive. x**(-904/2457) Simplify (w**(-19)/w)/(w**(6/11)/w*w)*(w*w/(w**(1/13)*w))**(-23) assuming w is positive. w**(-5974/143) Simplify ((y**(-2)*y)/y**(-6/11))/(y**(-2/7))**(3/5)*(y*y**(-5)*y)/y**(-5/4)*((y*y**1*y)/y)**(4/7) assuming y is positive. y**(-1371/1540) Simplify (((c/(c/c**(-2)))**(18/7)/(c**(2/3))**17)**34)**5 assuming c is positive. c**(-58820/21) Simplify ((m/(m**(-5)/m)*m)/(m/(m*m**(-1))))**(6/25)/((m**(1/2))**(1/5)*m**(-2/17)*m*m**(2/5)) assuming m is positive. m**(253/850) Simplify (((x*(x/(x*x**(-5)))/x)/x*x**(-7)*x)/(x*x**4*x*x*x**2))/(((x*x*x**(-2/3)*x)/x)**(6/23)/(x**(2/11)/x*x**(1/6))) assuming x is positive. x**(-18215/1518) Simplify ((l**(-7)/l)/(l*l**(2/9)))**18/(((l/(l*l/l**(-5/3))*l)/l)/l**(-2/9))**(-3) assuming l is positive. l**(-520/3) Simplify ((n**(-3/5))**(27/4))**(1/69)/((n**0)**(3/2)/((n*n**1)/n)**(5/3)) assuming n is positive. n**(2219/1380) Simplify (((t**(-2/9)/t)/t)**(8/7))**(-35)/(((t/t**(-2/11))/(t/(t/(t**(-1/2)/t))))/((t/t**(-7))/t*t*t**(-5))) assuming t is positive. t**(17663/198) Simplify ((n**(-1/4)/(n/n**(-3)))/(n**1*n)**(20/11))/((n/n**1*n)**(26/9)*(n/(n**(1/2)/n))**(-26)) assuming n is positive. n**(11177/396) Simplify g**(-2/11)*g**(-9)*(g**(-1)*g)**6*((g*g*g**9)/g**(-12))**(14/5) assuming g is positive. g**(3037/55) Simplify (((y**(-2)/(y**3/y))/(y**(-1))**(
{ "pile_set_name": "DM Mathematics" }
4 Put 115, -746, 51 in increasing order. -746, 51, 115 Sort -5, 4, 33, -29, 3, -1, 1 in increasing order. -29, -5, -1, 1, 3, 4, 33 Sort -1, -6, 219611. -6, -1, 219611 Put -5, -2, -1, 475366 in decreasing order. 475366, -1, -2, -5 Sort 4/7, 1121, -0.171, 16. -0.171, 4/7, 16, 1121 Sort 5, 1187, 1, 517. 1, 5, 517, 1187 Put 5, -0.1, 6, -4/3, -782/275 in decreasing order. 6, 5, -0.1, -4/3, -782/275 Sort 3/7, 0.5, -20/2763, 4 in decreasing order. 4, 0.5, 3/7, -20/2763 Put -10, -0.2, -17, 3064 in decreasing order. 3064, -0.2, -10, -17 Sort -12, -4, 10, -2, -94, 1 in increasing order. -94, -12, -4, -2, 1, 10 Put 2/7, 33947, -5, 0.0251 in descending order. 33947, 2/7, 0.0251, -5 Put 3, 0, 1, 130, -18, -3, -96 in decreasing order. 130, 3, 1, 0, -3, -18, -96 Sort -3, -102, 4, 0.09, 0.1, 1874. -102, -3, 0.09, 0.1, 4, 1874 Put -456573, -2, -315 in decreasing order. -2, -315, -456573 Put -6925, 3, 28 in descending order. 28, 3, -6925 Sort -3, -4, 1/3, 24, -0.0057, -2/9 in decreasing order. 24, 1/3, -0.0057, -2/9, -3, -4 Sort 11, -27, -1, -21, -123, -5 in descending order. 11, -1, -5, -21, -27, -123 Put 4/7, -15, 0.4, 3, -243/4, 102 in decreasing order. 102, 3, 4/7, 0.4, -15, -243/4 Put 117, 0.4, 501/41 in ascending order. 0.4, 501/41, 117 Put 1/3, 5, 41, -6, -21, 4/7 in increasing order. -21, -6, 1/3, 4/7, 5, 41 Put 86, 7/573, 697 in descending order. 697, 86, 7/573 Sort 2605, 2, -1, -244 in decreasing order. 2605, 2, -1, -244 Sort 441320, -46, -4, 4 in increasing order. -46, -4, 4, 441320 Put -0.07, -5.9, 4, 16, -0.09, -7 in increasing order. -7, -5.9, -0.09, -0.07, 4, 16 Sort -8, -4, 1563, 4, 82 in descending order. 1563, 82, 4, -4, -8 Sort -8934, 3, -424. -8934, -424, 3 Sort -4, 380, -0.78, -331. -331, -4, -0.78, 380 Put 5, 41/5, -0.3202, 32 in ascending order. -0.3202, 5, 41/5, 32 Put -5, -2, 5, 0, 263, 8, 7 in decreasing order. 263, 8, 7, 5, 0, -2, -5 Sort 80757, 13, 71 in decreasing order. 80757, 71, 13 Put 2689, -116, -0.7 in decreasing order. 2689, -0.7, -116 Sort -4, 6, 3, -13, 17 in decreasing order. 17, 6, 3, -4, -13 Sort 2.7, 522, 5, -0.3 in descending order. 522, 5, 2.7, -0.3 Sort 0, 44, 663, 1, -48 in decreasing order. 663, 44, 1, 0, -48 Sort 0.5, -0.9, 6/491, 2, -1, -2 in ascending order. -2, -1, -0.9, 6/491, 0.5, 2 Put 0, 435, -52/9 in descending order. 435, 0, -52/9 Sort 618645, -3, 2, 0, -4/7. -3, -4/7, 0, 2, 618645 Sort 3, 0, 1, -5, 42, -223, -3. -223, -5, -3, 0, 1, 3, 42 Sort -4, 55, -450759 in increasing order. -450759, -4, 55 Put -854834, -6, -3, 0, 4 in descending order. 4, 0, -3, -6, -854834 Sort -4, -8, 11756, -17 in descending order. 11756, -4, -8, -17 Put -4, -2, -175188, -100, -5 in increasing order. -175188, -100, -5, -4, -2 Sort -3, 189, -7079 in ascending order. -7079, -3, 189 Put 2/23, 3962, 2/9 in decreasing order. 3962, 2/9, 2/23 Put 4, 2, 5, -1213, 1, 0, 6 in decreasing order. 6, 5, 4, 2, 1, 0, -1213 Sort 10469, -9, -113 in ascending order. -113, -9, 10469 Put 2, 5, 14, 10, -10168 in descending order. 14, 10, 5, 2, -10168 Put 12822, 3, 4, 2, 0.9 in decreasing order. 12822, 4, 3, 2, 0.9 Put 14.61, -5, 1.6, 7, 0.2 in descending order. 14.61, 7, 1.6, 0.2, -5 Sort 0, -6, -3, 1258, -20 in descending order. 1258, 0, -3, -6, -20 Put -307, -25, 17, -20, -2, 5, 1 in increasing order. -307, -25, -20, -2, 1, 5, 17 Put 1/95, 1.4, -102/541 in increasing order. -102/541, 1/95, 1.4 Sort 1282, 19, -19, 3, -1. -19, -1, 3, 19, 1282 Put -5, 1/11, 2/125753, 3, 118 in descending order. 118, 3, 1/11, 2/125753, -5 Sort 27, -2, -1, 535, 1, 2, -101. -101, -2, -1, 1, 2, 27, 535 Put 0, 10, 54, 3, 94, -5, -3 in ascending order. -5, -3, 0, 3, 10, 54, 94 Put 2, 4, -3366 in decreasing order. 4, 2, -3366 Sort 0.4, 32, -1/3, 4, 5/2, 1088. -1/3, 0.4, 5/2, 4, 32, 1088 Sort 1, 16, -5, 10, 2, -4, 5 in descending order. 16, 10, 5, 2, 1, -4, -5 Put 4, 0.1, 16, 3, 0.9886, -3/7 in decreasing order. 16, 4, 3, 0.9886, 0.1, -3/7 Sort -2, 4, 304974 in descending order. 304974, 4, -2 Sort 0, -1, 234, 3, -4, 563, 4. -4, -1, 0, 3, 4, 234, 563 Sort 2/22169, -2/281, -2/5 in decreasing order. 2/22169, -2/281, -2/5 Sort 5.8, 0.41, 0.03, 0.1, 3/7. 0.03, 0.1, 0.41, 3/7, 5.8 Sort 31, 3, 2035, -18, -3 in ascending order. -18, -3, 3, 31, 2035 Sort 17, -70060, 0.01, -5, 4, -1/7. -70060, -5, -1/7, 0.01, 4, 17 Put -6, -1/7, 3, -2, -0.2, -81, -3 in increasing order. -81, -6, -3, -2, -0.2, -1/7, 3 Put 3, -4, 57736, 2 in decreasing order. 57736, 3, 2, -4 Sort -5, 4, 0, -2, 708, -277 in descending order. 708, 4, 0, -2, -5, -277 Sort -7, -93, 9, -50. -93, -50, -7, 9 Sort -4, -14, -0.1, 1, 1/4, -1313 in decreasing order. 1, 1/4, -0.1, -4, -14, -1313 Sort 3.6, 54, -3, -1, -0.4, -0.15. -3, -1, -0.4, -0.15, 3.6, 54 Sort -858, 53, 20, 106, 5 in descending order. 106, 53, 20, 5, -858 Put 19, 305, -5, -201 in decreasing order. 305, 19, -5, -201 Sort 335, -4, -763, -2, 5, -5, -1 in descending order. 335, 5, -1, -2, -4, -5, -763 Put 5, 2, 23, -5, -28, -1, -4 in descending order. 23, 5, 2, -1, -4, -5, -28 Put 3, 233438, -4, 0.1, -5, -1, 4 in descending order. 233438, 4, 3, 0.1, -1, -4, -5 Sort -3, -729, 1263, 2, -1. -729, -3, -1, 2, 1263 Put -4, 31, -5, 2, 1, 752 in descending order. 752, 31, 2, 1, -4, -5 Sort 2/3, -2, -4, 4, -4.5, 37, -6 in decreasing order. 37, 4, 2/3, -2, -4, -4.5, -6 Put 2, -136044668, 2/3 in descending order. 2, 2/3, -136044668 Sort -26520611, -2, 3 in ascending order. -26520611, -2, 3 Put 57114, -5, 235, -1, -4 in increasing order. -5, -4, -1, 235, 57114 Sort 1, 436, 4, -9, 0, 4/3, -1.8 in decreasing order. 436, 4, 4/3, 1, 0, -1.8, -9 Sort -1/111540, -1/11, -5, 71, 3. -5, -1/11, -1/111540, 3, 71 Sort -17, 0, -1452, 88, 3 in descending order. 88, 3, 0, -17, -1452 Sort 37, -2/9, 1/2, 0, -2/11, -12 in descending order. 37, 1/2, 0, -2/11, -2/9, -12 Put -64/7, -0.1, -884197 in descending order. -0.1, -64/7, -884197 Sort 85, 1, -12, -39, -4, 0. -39, -12, -4, 0, 1, 85 Sort 0.36, -0.5, -2779.2 in decreasing order. 0.36, -0.5, -2779.2 Sort 2/3, -337, 5, -1/38 in increasing order. -337, -1/38, 2/3, 5 Put 43, -1, -6, 3, 2470, -2, 5 in decreasing order. 2470, 43, 5, 3, -1, -2, -6 Sort -146, -371, 15, 5 in decreasing order. 15, 5, -146, -371 Sort -214, 73, 8, -15, 1 in descending order. 73, 8, 1, -15, -214 Put 1.5, -1.6075, 17/12 in decreasing order. 1.5, 17/12, -1.6075 Sort 4/155, -0.12388, -3. -3, -0.12388, 4/155 Sort 7682, 29, -1. -1, 29, 7682 Sort -1240, -4, -5, -8, -2, 6 in descending order. 6, -2, -4, -5, -8, -1240 Put 7, 2, -37, 1, -1, -16 in descending order. 7, 2, 1, -1, -16, -37 Put -53466, 5, -5, 3, 48 in decreasing order. 48, 5, 3, -5, -53466 Sort -0.5, -4/7, 498917/18 in decreasing order. 498917/18, -0.5, -4/7 Sort -17.813, -4, 6, -2 in increasing order. -17.813, -4, -2, 6 Put -1/6, 2/3, -0.6, 11, 34, 1/2 in ascending order. -0.6, -1/6, 1/2, 2/3, 11, 34 Sort -2, 23, 387, 0.3, 95, 1 in ascending order. -2, 0.3, 1, 23, 95, 387 Put -143, -6, -1, -5, -1184 in descending order. -1, -5, -6, -143, -1184 Sort 164, 5, 3/137, -0.2, -0.1 in increasing order. -0.2, -0.1, 3/137, 5, 164 Sort 2, -12, -30, -123002 in decreasing order. 2, -12, -30, -123002 Put 29672.2, -0.06, 2/13 in increasing order. -0.06, 2/13, 29672.2 Sort 2, -1, 319666 in descending order. 319666, 2, -1 Sort -4, 7, 992, 5, -5 in decreasing order. 992, 7, 5, -4, -5 Sort 920, -8158, -4, 2 in descending order. 920, 2, -4, -8158 Put -3, 47, 0.05, -2, 0, 1/5, -103 in descending order. 47, 1/5, 0.05, 0, -2, -3, -103 Sort 195375, -1, -297. -297, -1, 195375 Put 515003, 10, -5 in ascending order. -5, 10, 515003 Sort 0, 5, 515, -1/2, 9/4 in decreasing order. 515, 5, 9/4, 0, -1/2 Sort 0, 150386, 4 in descending order. 150386, 4, 0 Sort -3, 7, 3, 4, 12, 2, -108. -108, -3, 2, 3, 4, 7, 12 Sort -5, 5, 7, 4, 568, -195 in descending order. 568, 7, 5, 4, -5, -195 Sort 3.2, -5, -0.3, 0.3, -0.0641. -5, -0.3, -0.0641, 0.3, 3.2 Sort -3, 4078, 4, -28 in ascending order. -28, -3, 4, 4078 Sort -121788, -951, -4. -121788, -951, -4 Sort 2, -4, 1153, -12, -14 in decreasing order. 1153, 2, -4, -12, -14 Sort 15, 2, 1, -1, -16, 0.5, 2/337. -16, -1, 2/337, 0.5, 1, 2, 15 Sort -0.5, -17, -403871. -403871, -17, -0.5 Sort -3, -99, -14, 3, 32 in increasing order. -99, -14, -3, 3, 32 Put 2/7, 4, 2120, 1/4, 19/4 in descending order. 2120, 19/4, 4, 2/7,
{ "pile_set_name": "DM Mathematics" }
ive k. 2 Express -p**2 + p - 4*p + 9*p - p - 54 - p as b*p**2 + s + o*p and give b. -1 Express -37*s**4 - 1 + 20*s**3 + 21*s**4 + 2*s - 22*s**3 as i*s + k + p*s**4 + f*s**2 + y*s**3 and give k. -1 Express (-27614*s + 27614*s - 4443*s**2)*(-3*s**2 + 4*s**2 - 3*s**2) in the form k*s**3 + r*s**4 + n*s + q + u*s**2 and give n. 0 Express -2 - 25*l**2 + 2 - 8*l**2 - 141*l**3 + 135*l**3 in the form t*l**2 + w + d*l + o*l**3 and give o. -6 Rearrange -19*l**2 + 78*l**2 - 111*l**2 - 238*l**2 to the form t*l + q + p*l**2 and give p. -290 Express d - 2*d**2 + 179 - 128 - d**2 as m*d + u*d**2 + b and give u. -3 Rearrange -1 - d**2 + 8 + 3 + 4*d + 33 to the form x*d**2 + c + z*d and give x. -1 Rearrange 60*p**2 + 2 + 143*p**2 + 577*p**2 to the form v + d*p + k*p**2 and give k. 780 Rearrange (-1 - 3 + 0)*(-2 + h + 1 - 3)*((4 + 8 + 21)*(1 - 2 + 2) + 1 + 0 + 0) to u + o*h and give u. 544 Express 3 + 3*t + 2*t + 6 - 47 + t in the form w + g*t and give w. -38 Express -35*m + 139*m + 7 - 102*m in the form f + t*m and give f. 7 Express -2*w**4 - 2*w**3 - 2 + 232*w**2 + w**4 + 3*w**4 - 323*w**2 as q*w**3 + y*w**2 + f*w**4 + h*w + r and give y. -91 Express (-s**2 - 2*s**2 + 4*s**2)*(2*s + 0*s + s)*(0 + 0 + 2 + s) in the form o*s**3 + g*s + b*s**2 + h + r*s**4 and give o. 6 Rearrange 143*k + 129368 - 129368 to w + y*k and give y. 143 Express (-2 + 3 + 5*k - 2)*(290 + 44*k - 290) - 5*k**2 + k**2 + 6*k**2 in the form w*k + q + u*k**2 and give w. -44 Express (-8 + 4 - 15)*(-145*d + 73*d + 73*d - 34)*(2*d**2 + 4*d**2 - 4*d**2) as p + c*d + o*d**2 + x*d**3 and give x. -38 Rearrange -3 + 5 + 4 - 223*d - 2 - 2 to x + s*d and give x. 2 Express -12*b + b**3 + 5*b**2 + 11*b**2 - 2*b**4 - 14*b**2 - 3*b**3 as s + l*b**4 + r*b + a*b**2 + n*b**3 and give r. -12 Rearrange 31 - 85 - 42*r**2 + 55 to w*r**2 + g*r + h and give h. 1 Express -24*y**3 - 56*y**3 - 9*y**3 + (-2*y**2 + y - y)*(-y - y + y) - 6*y**3 - 6*y + 4*y + 3*y**3 as z*y + k*y**2 + q*y**3 + g and give z. -2 Express (-609 - 361 - 207)*(2*b + 2*b - 5*b) in the form f + q*b and give q. 1177 Rearrange 25 + 15*c - 12 - 9 - 8 to the form h*c + u and give h. 15 Express 2 - 2 - 143*s**3 + s + 145*s**3 - 314*s**3 as r + b*s**2 + c*s**3 + i*s and give r. 0 Rearrange 7 - j + 4 + 7 - 2*j to the form p*j + t and give p. -3 Rearrange -11 + 1389*n**4 - 2*n**3 - 1387*n**4 - n - 3 to the form a*n**3 + o*n + i*n**4 + j*n**2 + k and give i. 2 Rearrange (1 + 5 - 5)*(36539*t - 36539*t + 774*t**2)*(3 - 3 + 2*t**2) to y*t**2 + p + g*t**4 + v*t**3 + j*t and give g. 1548 Rearrange -117*r + 87*r + 109 - r**3 + 35*r to the form d*r + u*r**3 + n*r**2 + a and give u. -1 Rearrange (2*z - 13 + 52*z**2 - 51*z**2 + 52)*(5 - 1 - 3)*(-3 - 2 + 3) to the form s + n*z**2 + b*z and give b. -4 Rearrange 306 - 48*a**2 - 611 + 305 to the form h*a**2 + u*a + t and give h. -48 Express -50*v**2 + 1798 - 1798 in the form j + n*v + g*v**2 and give g. -50 Rearrange 2*y**2 - 8*y**2 + 12*y**2 - 5*y**2 + 26*y**3 - 1 to x*y**2 + b*y + i + h*y**3 and give h. 26 Express 1 - 38*s**2 - 3*s - 74*s**3 + 152*s**3 - 77*s**3 in the form g + t*s**3 + b*s + r*s**2 and give r. -38 Express (-25818 + 51633 + 1331*d**2 - 25815)*(0*d - 2*d + 3*d)*(-1 - 2 + 4) in the form w*d**3 + u*d + p*d**2 + f and give w. 1331 Rearrange -2*p**4 - 1 + p**4 + 2*p**4 + (-136*p - 44*p + 82*p)*(1 - 1 + 2*p**3) to o*p**3 + r*p**4 + h*p**2 + x*p + t and give t. -1 Rearrange (0 + 2 + 1)*(-62*x - 41 + 41 + 0*x + 2*x - x + (3*x - 5*x + x)*(1 + 1 + 0)) to the form u*x + t and give u. -189 Rearrange (-2 + 1 + 2)*(7 - 2 - 2)*(3 - 4*o + 1 + 2) to v*o + y and give v. -12 Rearrange 8 - 5 + 0 + 153*n**2 - 2 to k*n**2 + i*n + u and give k. 153 Rearrange -21*f**3 + 2*f**2 + 2 - 18*f**3 + 37*f**3 to the form w + i*f**3 + g*f**2 + p*f and give i. -2 Express 66*j + 6 - 48*j - 4 in the form r + i*j and give r. 2 Express (-6*z**3 + 0*z**3 + 2*z**3 + (z - z + 2*z)*(z**2 + 2*z**2 - 2*z**2))*(215 + z - 418 + 207) in the form p*z**4 + h + c*z**3 + y*z + d*z**2 and give c. -8 Rearrange -92*c - 285 + 285 + 1275*c + 527*c to the form r + g*c and give g. 1710 Rearrange (-32*p - 10*p - 9*p)*(-5*p + 2*p + p)*(-4*p - 3*p + 6*p) to m + v*p**3 + a*p**2 + d*p and give v. -102 Express (20*i - 36*i - 35*i)*(-9*i + 2*i - 5*i) as f + g*i + r*i**2 and give f. 0 Express -13*o - 1 + 15*o - 3*o - 11*o as h*o + s and give s. -1 Express -1 + 57*j + 18*j + 4*j in the form h*j + u and give h. 79 Rearrange 22972*n**2 - 22909*n**2 + n - 1 + 0*n**3 - n**3 to j + z*n**3 + l*n + i*n**2 and give z. -1 Express (5*s**2 - s**3 - 5*s**2)*(-130*s + 45*s - 210*s) + 4*s**4 - s + 3*s - 3*s as a + k*s**3 + z*s**2 + l*s**4 + b*s and give b. -1 Rearrange -1671*a**2 + 0*a + 658*a**2 + 0*a to l + s*a**2 + u*a and give u. 0 Rearrange -86*s + 418*s + 32*s - 23*s to the form o*s + r and give o. 341 Express -19*r + 14*r - 9 + 16 in the form c*r + g and give c. -5 Rearrange 11 - 12 + 97*f + 1 to b*f + h and give b. 97 Express (-4 + 4 + 2*i)*(-i + 3*i - i) - 14 - 113*i**2 + 6*i + 37 + 118*i**2 in the form q*i**2 + z + h*i and give q. 7 Rearrange 3*p**2 + 192*p - 32*p + 2*p**3 - 3*p**3 - 5*p**2 to the form a*p + j*p**3 + t + s*p**2 and give s. -2 Rearrange 203*y**2 + 365*y**2 + 196*y**2 to w*y**2 + q*y + r and give w. 764 Express (2 - 1 + 1)*(2*j**2 + 2*j - 2*j) + 23*j - 41*j**2 - 23*j in the form o + p*j**2 + n*j and give p. -37 Express -3670*u**2 + 7370*u**2 - 3463*u**2 - 2*u as p + t*u**2 + x*u and give x. -2 Express (-2 - f + 0 + 3)*(f + 32808 - 4*f**3 - 32824 + 0*f) in the form t*f**2 + a*f**4 + g*f + v*f**3 + i and give i. -16 Express (-2*o + 6*o + 2*o)*(-19 + 8 - 8)*(14 - 14 + o) in the form w*o**2 + z + j*o and give w. -114 Rearrange 10*k + 11 + 2*k**2 + 8*k - 17*k + 2*k**3 to g + m*k + o*k**2 + r*k**3 and give m. 1 Express 3*m**3 + 7382*m**2 - 7378*m**2 + 3*m + m in the form o*m**2 + j*m**3 + c + v*m and give o. 4 Rearrange -5 + 5*s - 5 + 14 - 5 - 13 - 2*s**3 to v*s + h + f*s**2 + u*s**3 and give v. 5 Rearrange (-13*i**3 - 12*i**4 + 13*i**3 - 3)*(2 + 0 - 4)*(-2 - 2 + 8) to j*i**2 + z*i**4 + h*i**3 + r*i + v and give z. 96 Express 2 + 16*v**2 - 40*v**2 + 2*v**3 - 63*v**4 + 59*v**4 in the form o*v**4 + u*v**2 + r + f*v + i*v**3 and give o. -4 Rearrange 7*r**2 + 10*r**2 - 21*r**2 + (r + r + 0*r)*(-27*r + 22*r - 79*r) to p*r**2 + b*r + c and give p. -172 Rearrange 35*s + 4*s**2 - 34*s + 76 - 10*s**2 to z*s**2 + v*s + u and give u. 76 Rearrange -3*f**2 + 4*f**2 + 4*f**2 - 4*f**2 + 7*f**2 + 10 to the form v + o*f**2 + n*f and give o. 8 Express 4*l**2 + 851*l - 14055 - 5*l**2 + 14053 as t*l + n*l**2 + j and give j. -2 Express 16 - 22 + 3*q + 18 in the form p*q + n and give n. 12 Express 1 - 7 - 13 - 5*l**3 - 5 - 4*l**2 + 18 as z*l + n*l**2 + g + v*l**3 and give n. -4 Rearrange 4*d - 12349 + 12342 - 4*d - 44*d**2 to the form p*d + k*d**2 + u and give k. -44 Rearrange -49*c + 51*c - 702 - 651 + 85 to j + b*c and give b. 2 Express -28*h**2 - 2*h**4 - 28*h**2 + 5*h - 26*h**2 + 89*h**2 - 2*h**3 + 0*h**4 as n*h + a*h**3 + x*h**4 + u + j*h**2 and give j. 7 Express (19*o - 2*o + 25*o)*(-9 + 3 - 3)*(o**3 + o**3 - o**3) - 2*o**4 + 0*o**2 + 0*o**2 as h*o**2 + u + j*o**4 + x*o**3 + v*o and give j. -380 Rearrange -4*i**2 + 2*i**4 - 4*i**2 - 2*i**2 - 107*i + 1 - i**3 + 6*i**2 + 3*i**2 to the form f*i**4 + r*i**3 + a*i + w*i**2 + p and give p. 1 Rearrange 1383 - 742*h - 1383 to n*h + r and give n. -742 Rearrange ((3*g - 4*g + 0*g)*(1 - 3 + 3) + 4*g - 2*g - 5*g)*(-20*g + 20*g - 32*g**3) to p*g**4 + v + c*g + s*g**2 + w*g**3 and give p. 128 Rearrange (-14 + 29 + 34)*(-2*h - 4*h - 2*h) to s*h + l and give s. -392 Express (23*i + 111 - 111)*(-4 + 23*i + 4)*(0*i + 3*i - 5*i) in the form z + u*i**2 + v*i**3 + m*i and give m. 0 Express 5*n + 1197 - 1194 + 7*n + ((2 - 3 + 4)*(3 - 2 + 0) - 3 + 5 - 4)*(4 + 2*n - 4) in the form k*n + j and give j. 3 Express (-1 - 37*h - 42*h + 63*h)*(0*h - 2*h - 3*h) as g*h**2 + t*h + l and give g. 80 Rearrange 50*m**2 - 29*m**2 - 24*m**2 - 2 + 2*m - 47*m**4 to l + a*m**2 + b*m + c*m**4 + q*m**3 and give l. -2 Express 49*r - 49*r + 62*r**3 + (3 + 2 - 3)*(4*r**3 + r**3 - 7*r - 2*r**3) in the form h*r**2 + x*r + l*r**3 + f and give x. -14 Express 2*v**3 + 128*v + 16 - 2*v**2 - 175*v - 7 - 6 as h*v**3 + o + b*v + p*v**2 and give o. 3 Rearrange 2 - 3*d**2 + d**3 +
{ "pile_set_name": "DM Mathematics" }
at is -27*c(z) + 2*g(z)? -15*z**2 Let o(u) = -5*u + 32. Let h be o(6). Let z be 2/(-8)*h - (-52)/8. Let i(l) = -3*l + 3. Let f(p) = 4*p - 4. What is z*i(q) + 4*f(q)? -2*q + 2 Let p(w) = -31*w**3 + 17*w**2 + 1054. Let t(d) = 11*d**3 - 6*d**2 - 351. Determine 6*p(a) + 17*t(a). a**3 + 357 Let z(q) = -2971*q + 9. Let m(r) = 743*r - 2. Calculate 9*m(k) + 2*z(k). 745*k Suppose 0 = 2*d + 3*i + 27, -3*d + 5*i = 2*d + 55. Let y be (-3)/((-14)/d + (-20)/(-60)). Let s(h) = -3*h - 3. Let q(l) = -l - 1. Calculate y*s(z) + 5*q(z). z + 1 Let p(c) = 4*c**3 - 2*c + 3. Let f be -2 + ((-6)/(-3) - 2). Let w(u) be the first derivative of -4*u**4 + 9*u**2/2 - 13*u - 372. What is f*w(z) - 9*p(z)? -4*z**3 - 1 Let c(s) = 6*s + 28. Let z(r) = r + 16. Let i(d) = -15. Let y(v) = -3*i(v) - 4*z(v). What is -5*c(t) - 7*y(t)? -2*t - 7 Let j(c) = -c + 56 + 65 + 2*c**2 - 112 - 2*c. Let g(z) = -z**2 + 3*z + 7. Let y be g(5). Let r(t) = t**2 - 2*t + 5. Calculate y*j(b) + 5*r(b). -b**2 - b - 2 Let y(m) = -250*m**2 + 21*m + 10. Let j(b) = -b**2 - 4*b - 2. Calculate 5*j(s) + y(s). -255*s**2 + s Let h(m) = -46*m**3 + m - 4. Let n(a) = -47*a**3 - 3. What is 3*h(b) - 4*n(b)? 50*b**3 + 3*b Let d(r) be the third derivative of r**5/40 - 2*r**3 - 10*r**2 + 2. Let h(x) be the first derivative of d(x). Let n(t) = 12*t. Calculate -18*h(u) + 4*n(u). -6*u Suppose -28 - 23 = -3*w. Let u(x) = 0 - 6 - 36*x**2 + 14*x**2 + 3*x + w*x**2. Let r(j) = 14*j**2 - 8*j + 17. Give -6*r(o) - 17*u(o). o**2 - 3*o Let x(u) = -u + 27. Let v(o) = 4*o - 134. What is 3*v(t) + 14*x(t)? -2*t - 24 Let y(r) = 1039*r + 4. Let z(n) = -231695*n - 894. What is -447*y(v) - 2*z(v)? -1043*v Let h(l) = -20*l + 11. Let k(m) = 3*m - 1. What is 3*h(d) + 24*k(d)? 12*d + 9 Let b(r) = 133*r**2 - 8*r. Let n(a) = -26069*a**2 + 1572*a. Calculate -393*b(s) - 2*n(s). -131*s**2 Suppose 5*u + 35 = 10*u + 5*k, -u + 5*k - 11 = 0. Let h(t) = t + 1. Let i(p) = 2*p + 2. Calculate u*i(g) - 5*h(g). 3*g + 3 Let s(v) = 557*v**2 + 11*v + 3. Let t(b) = -186*b**2 - 4*b - 1. Calculate -4*s(w) - 11*t(w). -182*w**2 - 1 Suppose -175 = -38*n - 61. Suppose 0 = 3*v - 28 + 4. Let k(j) = v*j - j**2 - 8*j. Let a(u) = u**2 - 2*u. Calculate n*k(f) + a(f). -2*f**2 - 2*f Let c(a) = -26*a - 4*a**2 + a**2 + 29*a - a**2 - 3. Let k(b) = 7*b**2 - 5*b + 7. Determine 5*c(h) + 3*k(h). h**2 + 6 Let u(q) be the third derivative of 2*q**2 - 4/3*q**3 - 12 + 5/12*q**4 + 0*q. Let s(d) be the first derivative of d**2/2 - d + 1. What is -18*s(z) + 2*u(z)? 2*z + 2 Let u(s) = 2*s**2 - 10*s - 3. Let w be u(7). Let v be 40/w + 2/5. Suppose 0*n + v*n = 2. Let l(j) = 4*j. Let p(i) = -i. Calculate n*l(m) + 3*p(m). m Let s(n) = 1. Suppose 6*h - 5*h = 4*b - 13, h - 19 = -4*b. Let v(z) = -3*z + 3. Give b*s(a) - v(a). 3*a + 1 Let a = 8 - -7. Let o(h) = a*h - 5 - 5 - 1. Suppose 25 = 4*z - y, 32 = 8*z - 3*z - 2*y. Let n(l) = 8*l - 6. Calculate z*o(d) - 11*n(d). 2*d Let j(a) = -17*a + 405. Let q(c) = -4*c + 101. What is -2*j(u) + 9*q(u)? -2*u + 99 Let h(b) = b**2 - 6. Let y be 50/150 - (-34)/6. Let k(u) = 2*u**2 - 5 + 16 - 3*u**2. Calculate y*k(a) + 11*h(a). 5*a**2 Let p(c) = 2*c + c**3 + 2 + 4 + 4*c**2 - 8*c - c. Let u be (3/6)/(4/(-136)). Let j(b) = -3*b**3 - 11*b**2 + 20*b - 17. Give u*p(z) - 6*j(z). z**3 - 2*z**2 - z Let u(y) = -y**2 + y - 12. Let w(z) = 5*z**2 - 4*z + 38. What is 7*u(d) + 2*w(d)? 3*d**2 - d - 8 Let f(s) = -4*s**2 + s + 1. Let p(r) = -r + 3*r**2 + 9300 + 9295 - 18596. Determine -5*f(h) - 6*p(h). 2*h**2 + h + 1 Let w(j) = 5*j**3 + 3*j**2 - j + 8. Let v(u) = -7*u**3 - 4*u**2 - 9. Give -3*v(l) - 4*w(l). l**3 + 4*l - 5 Let x be -1 - 3 - (-23 + -15). Let g = x + -7. Let m(v) = -8 + 4*v - 2 - 13*v + g. Let k(f) = f - 2. What is -51*k(h) - 6*m(h)? 3*h Let l(j) = 14*j**2 + 3*j - 207. Let y(f) = 6*f**2 + f - 103. What is -2*l(b) + 5*y(b)? 2*b**2 - b - 101 Let t(h) = h - 2. Let x(a) = -368*a + 11. Determine 6*t(f) + x(f). -362*f - 1 Let d(o) = 16*o**3 + 16*o**2 - 11*o - 159. Let r(w) = 3*w**3 + 3*w**2 - 2*w - 32. Calculate 2*d(s) - 11*r(s). -s**3 - s**2 + 34 Let t(b) = b - 357. Let r(y) = y - 355. Calculate 4*r(v) - 3*t(v). v - 349 Let j(h) = -104*h**3 + 3*h + 2. Let p(a) = -310*a**3 + 8*a + 5. Calculate 11*j(x) - 4*p(x). 96*x**3 + x + 2 Let m = 19 - 17. Let n(b) = 37 + m*b**3 - 3*b**3 - 43 + 6*b - 6*b**2. Let d(g) = 10*g**3 + 55*g**2 - 55*g + 55. Determine -6*d(x) - 55*n(x). -5*x**3 Let z(n) be the third derivative of -17*n**5/60 - 13*n**4/24 + 7*n**3/6 + n**2. Let f = 5791 - 5785. Let m(r) = -8*r**2 - 6*r + 3. Calculate f*z(g) - 13*m(g). 2*g**2 + 3 Let u(p) = 2*p + 2. Let x(v) = 3*v - 1. Let r(j) be the third derivative of -j**4/12 + j**3/6 + 7*j**2. Let q(i) = 4*r(i) + 3*x(i). What is -2*q(k) + 2*u(k)? 2*k + 2 Let z(j) = 22*j**3 + 34*j**2 - 34. Let y(c) = -2*c**3 - 3*c**2 + 3. Let g(s) = -34 + 2 - 2 - 7*s**2 - 16*s + 6*s**2. Let q be g(-14). What is q*z(k) - 68*y(k)? 4*k**3 Let m(z) = -4*z + 2. Let n(g) = 23*g - 3*g + g - 7 - 2 - 1. Give 11*m(f) + 2*n(f). -2*f + 2 Let d(r) be the second derivative of 3/20*r**5 - 15*r + 0 + 0*r**3 + 5/12*r**4 + 5/2*r**2. Let c(t) = -16*t**3 - 28*t**2 - 28. What is -5*c(m) - 28*d(m)? -4*m**3 Suppose -2*a + 9*f - 16 = 12*f, -3*a + 5*f + 14 = 0. Let b(y) = 9*y**3 - 7*y**2. Let m(j) = -3*j**3 + 2*j**2. Give a*b(l) - 7*m(l). 3*l**3 Let i(l) = -49*l. Let r(h) = -246*h. Calculate -28*i(z) + 6*r(z). -104*z Let h(x) = -8*x**3 + 7*x**2 + 7. Suppose 0 + 8 = 4*a, 2*i - 5*a + 66 = 0. Let w(j) = 0 - j**3 + 1 + 15*j**2 - 7*j**2 - 7*j**2. Give i*w(q) + 4*h(q). -4*q**3 Let x(l) = 2*l + 1. Let a(g) = 5*g + 33. Calculate a(w) - 3*x(w). -w + 30 Let i(g) = 35*g**3 - 6*g**2 - g + 5. Let q(s) = 70*s**3 - 11*s**2 + s + 12. Let j(z) = 11*i(z) - 6*q(z). Let d(k) = -12*k**3 - 6*k - 6. Give -17*d(o) + 6*j(o). -6*o**3 Let c(z) = -7*z + 3. Let r(p) = 8*p - 4. Let m(l) = -l**3 + 5*l**2 - 2*l - 3. Let w be m(4). Give w*c(n) + 4*r(n). -3*n - 1 Let m(v) = -2*v + 255. Let u(d) = -3*d + 249. Determine 5*m(s) - 4*u(s). 2*s + 279 Let t(n) = 323*n**3 + 9*n**2 - 36*n + 42. Let h(d) = 81*d**3 + 2*d**2 - 8*d + 10. Determine -9*h(w) + 2*t(w). -83*w**3 - 6 Let q(y) = 1 + 2*y - 2 + 8. Let l be q(0). Let g(c) = -7*c + 7. Suppose -39 = -9*i + 15. Let h(r) = 8*r - 8. What is i*h(k) + l*g(k)? -k + 1 Let w be (12 + -16)*(-6)/8. Let u(f) = f**2 + 3*f + 1. Let m(l) be the first derivative of l**3/3 + 2*l**2 + l + 15. Calculate w*m(g) - 4*u(g). -g**2 - 1 Let g(o) = -6*o**3 - 14*o**2 - 14*o + 11. Let m be (-2)/(-5) + (-66)/15. Let v(j) = -2*j**3 - j + 4 - 2*j - 2*j + 391*j**2 - 396*j**2. Give m*g(w) + 11*v(w). 2*w**3 + w**2 + w Let z(g) = 6*g - 3. Let y(i) = 2*i. What is -20*y(t) + 5*z(t)? -10*t - 15 Let f(u) = -2*u**2 - 2*u + 321. Let p(d) = -10*d**2 - 11*d + 1606. Give 11*f(j) - 2*p(j). -2*j**2 + 319 Let u(s) = 11*s - 1. Let d(c) = -5*c. Determine 5*d(z) + 3*u(z). 8*z - 3 Let y(q) = -469*q + 402. Let x(f) = 2*f - 1. What is -402*x(g) - y(g)? -335*g Let t(b) = -b + 2. Let w(f) = -f. Calculate -3*t(v) + w(v). 2*v - 6 Let i(r) = -125*r**2 - 4*r - 2. Let n(z) = 125*z**2 + 5*z + 2. Calculate 5*i(f) + 4*n(f). -125*f**2 - 2 Let g(p) be the first derivative of -13*p**3/6 + 13*p + 11. Let x(c) be the first derivative of g(c). Let h(b) = -2*b. Give 14*h(d) - 2*x(d). -2*d Let p(h) = -2 + 0 + 0*h + 5*h. Let l(v) be the first derivative of -13*v**2 + 11*v + 2. Let k(s) = -2130*s - 10661. Let x be k(-5). Determine x*p(n) - 2*l(n). -3*n Let g(d) = 4. Let z(n) = -5*n**3 - 1. Let p be z(-1). Let w(x) = 1 - x + 0*x - p*x + 6*x. Determine -g(y) + 2*w(y). 2*y - 2 Suppose -42 = 11*q - 17*q. Let u(n) = -n**3 + 7*n**2 - 23*n + 7. Let j(m) = 2*m**2 - 8*m + 2. Calculate q*j(s) - 2*u(s). 2*s**3 - 10*s Let u(i) = 9*i**2 + 123*i + 16. Let b(c) = -2*c**2 - 25*c - 3. Give 11*b(z) + 2*u(z). -4*z**2 - 29*z - 1 Let y(l) be the first derivative of 7*l**2/2 + 2*l - 51. Let z(j) = -13*j - 3. Calculate 7*y(a) + 4*z(a). -3*a + 2 Suppose h - m - 8 = -2*m, 0 = -2*h - 3*m + 17. Suppose -2*q + h*q + 10 = 0. Let v(i) = -2*i**2 - 10*i - 10. Let u(t) = -t - 1. What is q*v(w) + 20*u(w)? 4*w**2 Let z(r) be the first derivative of -r**4/4 + r**3 - r**2 + 109. Let c(a) = 3*a**3 - 13*a**2 + 9*a - 1. Calculate 2*c(o) + 9*z(o). -3*o**3 + o**2 - 2 Let b be (3/(-2))/(2/(-8)). Let u(p) be the third derivative of -5*p**4/24 + 7*p**3/6 + 4*p**2. Let
{ "pile_set_name": "DM Mathematics" }
ference between -0.4 and 1211074437882? 1211074437882.4 What is the distance between 8.689 and -0.09806897916? 8.78706897916 Add -2717946711910 and 3. -2717946711907 Calculate 27850834 - 0.04296676. 27850833.95703324 What is 56784429 minus -6655? 56791084 What is -0.044 - -298.737528806? 298.693528806 What is -2 less than 0.057809881768? 2.057809881768 Work out 0.282986 + -2.55511. -2.272124 Sum 823249565811 and 0.04. 823249565811.04 Work out 0.058951661 - -249.77. 249.828951661 Calculate 32.3828672 + 0.0165035. 32.3993707 Work out -14.966750958 + 1473. 1458.033249042 What is 7877 + -0.0324531553? 7876.9675468447 Sum -500.57332 and -0.0019418. -500.5752618 Calculate -96131 - 1098709675. -1098805806 What is -56583856651 take away -1316? -56583855335 0.2494 - 51995927 -51995926.7506 What is 25953494893 minus 0.11613? 25953494892.88387 Calculate 129204 + 28337073. 28466277 Add -44 and 465077078901. 465077078857 27452339062 + 0.12 27452339062.12 Add together -243060 and -1526434. -1769494 -7459+14365684784 14365677325 13007180 - -7592 13014772 Calculate 11.607413 + 6.971934. 18.579347 What is the difference between 5899033 and -153932585? 159831618 What is -901 plus -2233404090? -2233404991 Total of -36818472414 and 0.06056. -36818472413.93944 -0.11 - 6083.436741 -6083.546741 Add -168784 and 2533718.744. 2364934.744 Total of -67.18007 and 939. 871.81993 What is 95 less than -40329335848? -40329335943 Calculate 36.3 + -2606830.355. -2606794.055 Work out -0.15717879609 - 4501. -4501.15717879609 What is 7021238.58 - 875? 7020363.58 What is 14828747 + -970968? 13857779 Sum 0.5 and 32612.5351813. 32613.0351813 -5.75091746 - -0.0142 -5.73671746 Work out -57.73103 + 335022. 334964.26897 -6551844766 - -21.43 -6551844744.57 Total of 76.52167895945 and -0.26. 76.26167895945 What is 3 + -48356350074? -48356350071 Total of -0.6 and 21452.6335. 21452.0335 What is -318476124 less than -0.4683? 318476123.5317 Subtract -0.731 from -691817651118. -691817651117.269 Calculate 0.4 + 50605192400587. 50605192400587.4 What is the distance between -950.5971 and 38000? 38950.5971 What is 409.6092 take away 26072.16? -25662.5508 What is -0.3 minus 2364559498? -2364559498.3 Add 0.1 and -905048495413. -905048495412.9 Subtract 0.32465700547696 from 0.2. -0.12465700547696 Add together -2.0041 and 1312516084. 1312516081.9959 What is 121.03768 less than 82325? 82203.96232 What is -249.664 minus -2818951726? 2818951476.336 Sum -37188.53914 and 71. -37117.53914 Total of 774584809070 and 6. 774584809076 What is the difference between -3571.91206 and -3345769? 3342197.08794 What is 223205 minus 0.38636094? 223204.61363906 Add together 3632580 and 6604756. 10237336 What is -1048 plus -15.91056387? -1063.91056387 Calculate -28511793657 - -65.5. -28511793591.5 What is 444.9 + 6327.3896? 6772.2896 What is -3 + 13444728.0714658? 13444725.0714658 Work out -112606358 + 7613. -112598745 What is 1615 plus -51107602402? -51107600787 Work out -193028573439 + -1065. -193028574504 0.0816 - -1.41979934 1.50139934 0.030836 - -0.010825012 0.041661012 Add 13 and -450.99320516. -437.99320516 What is 1282939 less than -67605.4? -1350544.4 Sum 63135361129 and -0.2. 63135361128.8 Calculate 0.5 - 5796632.5235126. -5796632.0235126 Work out -0.01946 - 1.2796606. -1.2991206 Sum -234.396 and 3366580. 3366345.604 Calculate -81139820249 + -1357. -81139821606 What is -3267786343792 + -0.1? -3267786343792.1 Total of 0.08596 and 9970621. 9970621.08596 Sum -252 and 0.047941087149. -251.952058912851 Put together 8.3913742497 and -2. 6.3913742497 Subtract 0.0108452909623 from -0.5. -0.5108452909623 Subtract -4.37040928 from -4080. -4075.62959072 What is -13036077436835 - 3? -13036077436838 Calculate -638689 - 130540. -769229 What is -8981 - 9576940519? -9576949500 What is -0.5007048992 - -3788? 3787.4992951008 What is -1329894886850 take away -5? -1329894886845 What is 294226 plus -10.261015? 294215.738985 Add -1492361905 and -18.95. -1492361923.95 What is -270420949758 plus -9? -270420949767 Work out -22.8 - -159574483355. 159574483332.2 What is 284 take away 65535.8839667? -65251.8839667 What is the difference between 51737151978.25 and 1? 51737151977.25 Add together 0.002131744998 and -3726. -3725.997868255002 What is the difference between 37492.5 and -169.93844? 37662.43844 Total of -6252 and -1.7080385. -6253.7080385 -84.316472+-48269.08 -48353.396472 Total of -179.756596 and -0.218. -179.974596 What is -778.84395443 take away 8.25? -787.09395443 -6124 + -557970224.3 -557976348.3 Put together -0.0393025 and 33749.78915. 33749.7498475 What is 4 plus -287260241728? -287260241724 15410528+0.833 15410528.833 What is the distance between 52106768190 and 0.07? 52106768189.93 Calculate 7562046.24 - -21.5469. 7562067.7869 Subtract -123706294 from 1.4047. 123706295.4047 Work out -1185853956 - 437808. -1186291764 Work out -0.5 + 39327781419486. 39327781419485.5 Calculate 12614420302090 - 4. 12614420302086 518634 + 85630525 86149159 Total of 1739224116 and -139. 1739223977 Total of -8.0375 and 469047.6538. 469039.6163 What is 2.24542 + -531.7742? -529.52878 Subtract -1742 from 110932.35. 112674.35 What is -194.8764 plus -852260? -852454.8764 What is -1011 minus 346182392139? -346182393150 Subtract -1.46 from -187602.48. -187601.02 Work out 9384 + 718274096. 718283480 What is 0.6862 take away -35.5225095? 36.2087095 Add 7679.22376614 and 3.2. 7682.42376614 What is the distance between -39972 and -854571790? 854531818 What is the difference between 201055848824.9 and -4? 201055848828.9 What is 37 plus -5569697007? -5569696970 What is 22.3 less than -3087.39983227? -3109.69983227 What is 40175790 plus -26.18331? 40175763.81669 Work out 283964 - 104.419. 283859.581 What is 4212844 + 21554427? 25767271 Work out -7 - 5599302546. -5599302553 647638420400+206 647638420606 What is the difference between 51.63 and -17821154512? 17821154563.63 Calculate 227.25242502 - 0.3. 226.95242502 Add 1551850120.84158 and 0.9. 1551850121.74158 -4849655 + 1.2761875 -4849653.7238125 What is 45 plus -1007512524985.8? -1007512524940.8 What is -13128 less than -1.7074536? 13126.2925464 Add together -1.70373 and -19582981. -19582982.70373 Sum -3 and 0.44501848230318. -2.55498151769682 What is 5296705211588 less than 27? -5296705211561 Add 10012.8435621 and -2605. 7407.8435621 Calculate 6566 + 513332162. 513338728 Calculate -0.1 + 271.350705322. 271.250705322 Calculate 330629.8 - -0.5456. 330630.3456 What is 277384820 minus 0.4? 277384819.6 -0.2 + 361408714528.1 361408714527.9 What is the difference between 0.06 and 2095592728629? 2095592728628.94 Work out 580728631 + 215. 580728846 Subtract -1428.85381236 from 29. 1457.85381236 Add together 41058124564 and 1.7. 41058124565.7 Add -24 and -300107076.753. -300107100.753 What is 36.2367538465 plus 6? 42.2367538465 What is 1389825009673 + 19? 1389825009692 What is -0.597594 less than 133924674? 133924674.597594 Work out -3394 + 428055949.8. 428052555.8 What is 3060495 less than -73856948? -76917443 What is -0.01228 take away -1347.86237624? 1347.85009624 Subtract -40560879290 from 0.04. 40560879290.04 Work out 6412 - 1022554212. -1022547800 What is 15.5 - -61495235789? 61495235804.5 Total of -16 and 102.0947419. 86.0947419 Work out 0.037 + 690372.872394. 690372.909394 Total of -2115 and 11093273555. 11093271440 4287583.1 - 16090 4271493.1 What is 22245518089 + -40.19? 22245518048.81 47531613733 - -1.3 47531613734.3 Calculate 0 + 3568.036295252. 3568.036295252 Total of -41.92 and -35786262. -35786303.92 Total of 38.64 and -47630431501. -47630431462.36 What is 2418844219.7 + 2.4? 2418844222.1 Work out 1124.8 - 0.2549836896. 1124.5450163104 What is -4070582.434906 + -0.4? -4070582.834906 What is -13.8 + 4227.509920242? 4213.709920242 Calculate -2604917 + -3908.2249. -2608825.2249 Add -1658217816500 and 0.15. -1658217816499.85 What is 0 less than -220419244.18? -220419244.18 Work out 1547498199 + -28.901. 1547498170.099 Calculate 16 + -31.774602415. -15.774602415 Add together -0.29 and 43.97399776. 43.68399776 What is 11964720 take away 9421.8? 11955298.2 What is 9797982 minus -42865? 9840847 -8014.48446 + 0.0778 -8014.40666 Add together -139 and -3083778554.9. -3083778693.9 Total of 19 and -128724.3003
{ "pile_set_name": "DM Mathematics" }
nce xa. 1/56 Two letters picked without replacement from {f: 1, j: 1, b: 1, v: 1, i: 1, s: 2}. Give prob of sequence vi. 1/42 What is prob of sequence yuhg when four letters picked without replacement from yguuwygwhywggw? 1/1001 Calculate prob of sequence nutn when four letters picked without replacement from {t: 2, h: 2, u: 1, n: 6, g: 1}. 1/198 Calculate prob of sequence kjau when four letters picked without replacement from {j: 3, a: 3, k: 1, u: 3}. 3/560 What is prob of sequence ox when two letters picked without replacement from {x: 1, o: 2}? 1/3 What is prob of sequence bfn when three letters picked without replacement from nbljjbfkf? 1/126 What is prob of sequence vvp when three letters picked without replacement from {v: 3, d: 2, x: 7, p: 7}? 7/969 Calculate prob of sequence sv when two letters picked without replacement from {s: 8, v: 2}. 8/45 Three letters picked without replacement from {z: 2, v: 5, s: 3, u: 1, o: 7}. What is prob of sequence svu? 5/1632 What is prob of sequence rd when two letters picked without replacement from rkddkrddokrddrk? 4/35 Calculate prob of sequence oyfo when four letters picked without replacement from oofoyyyo. 3/140 Calculate prob of sequence ndnd when four letters picked without replacement from nnesddgsdd. 1/210 Three letters picked without replacement from {j: 2, a: 5, f: 8}. What is prob of sequence aaa? 2/91 What is prob of sequence xw when two letters picked without replacement from {w: 1, x: 1, h: 3}? 1/20 Three letters picked without replacement from {z: 3, h: 5, n: 1, t: 6}. Give prob of sequence hth. 4/91 Calculate prob of sequence fh when two letters picked without replacement from hfhh. 1/4 Three letters picked without replacement from {x: 1, k: 2, t: 14}. What is prob of sequence kxt? 7/1020 What is prob of sequence tc when two letters picked without replacement from rrercrthccc? 2/55 Three letters picked without replacement from aqaqaqqqaazzqaaaa. What is prob of sequence zaa? 3/85 What is prob of sequence yee when three letters picked without replacement from {y: 10, e: 2}? 1/66 Two letters picked without replacement from {f: 8, b: 3, l: 4, q: 1, s: 3}. Give prob of sequence qq. 0 What is prob of sequence fmjd when four letters picked without replacement from {o: 4, m: 4, j: 1, d: 1, w: 1, f: 1}? 1/2970 What is prob of sequence ssq when three letters picked without replacement from tqsxsbaxsxax? 1/220 Calculate prob of sequence mjjm when four letters picked without replacement from jvgmmjvvvvjjvjgpmvj. 5/2584 Three letters picked without replacement from ttvtititttivvvtt. What is prob of sequence vvi? 3/280 Four letters picked without replacement from pkdkpdpppkd. What is prob of sequence dppd? 1/66 Three letters picked without replacement from {k: 2, a: 1, o: 1, g: 2}. What is prob of sequence kag? 1/30 Four letters picked without replacement from efffe. Give prob of sequence efef. 1/10 Two letters picked without replacement from zzozzzzz. What is prob of sequence zo? 1/8 Calculate prob of sequence efj when three letters picked without replacement from {f: 2, v: 2, h: 2, a: 2, e: 5, j: 1}. 5/1092 Four letters picked without replacement from tufxztzzft. What is prob of sequence tfzz? 1/140 Four letters picked without replacement from eeseessskskeeeeesee. Give prob of sequence sese. 275/7752 Two letters picked without replacement from {j: 2, s: 5, g: 1, x: 1}. Give prob of sequence ss. 5/18 What is prob of sequence esis when four letters picked without replacement from igsxesieii? 1/315 Calculate prob of sequence os when two letters picked without replacement from {s: 13, o: 2, c: 5}. 13/190 Four letters picked without replacement from {c: 3, q: 5}. Give prob of sequence qccc. 1/56 What is prob of sequence ovgg when four letters picked without replacement from vhggggghggghgo? 3/1001 Four letters picked without replacement from {l: 7, w: 3, f: 8}. Give prob of sequence lfff. 49/1530 Calculate prob of sequence iig when three letters picked without replacement from {g: 2, i: 2}. 1/6 What is prob of sequence jz when two letters picked without replacement from wwljzz? 1/15 Calculate prob of sequence jhhd when four letters picked without replacement from {d: 1, z: 1, h: 3, v: 2, b: 6, j: 2}. 1/2730 Two letters picked without replacement from {c: 3, x: 6, e: 1, t: 1, i: 2, f: 2}. What is prob of sequence xc? 3/35 Three letters picked without replacement from {q: 4, p: 3}. Give prob of sequence pqq. 6/35 Two letters picked without replacement from xnr. What is prob of sequence xn? 1/6 Calculate prob of sequence hhh when three letters picked without replacement from hhhhhhhhh. 1 Three letters picked without replacement from ljljlj. What is prob of sequence lll? 1/20 Calculate prob of sequence ia when two letters picked without replacement from {s: 3, a: 1, e: 3, x: 2, d: 1, i: 7}. 7/272 Four letters picked without replacement from rrdccerrdreceekyryc. What is prob of sequence rede? 1/646 Calculate prob of sequence mifi when four letters picked without replacement from iiiiifiimfiiiif. 11/1092 Four letters picked without replacement from fnnfzfzfufnznfz. What is prob of sequence funu? 0 Three letters picked without replacement from {f: 10}. What is prob of sequence fff? 1 What is prob of sequence pp when two letters picked without replacement from pllllllllllplllllll? 1/171 Calculate prob of sequence xxoo when four letters picked without replacement from xoxxxoxoxxxxxxxxxxo. 35/1292 Two letters picked without replacement from {i: 1, w: 1, k: 2, q: 4}. What is prob of sequence iw? 1/56 What is prob of sequence poo when three letters picked without replacement from jjjjpjjprojopo? 3/364 Calculate prob of sequence ooo when three letters picked without replacement from {m: 6, o: 2, h: 5}. 0 Calculate prob of sequence lo when two letters picked without replacement from lrryoylwpllrloyll. 7/136 Two letters picked without replacement from miimmi. Give prob of sequence ii. 1/5 Calculate prob of sequence fys when three letters picked without replacement from {c: 1, y: 1, s: 6, a: 2, f: 5}. 1/91 Calculate prob of sequence kxn when three letters picked without replacement from xnvnpvnnvkpk. 1/165 Three letters picked without replacement from lnwnynwwnnnyelynnn. Give prob of sequence yln. 3/272 What is prob of sequence hna when three letters picked without replacement from nabpvha? 1/105 What is prob of sequence gjj when three letters picked without replacement from ghjjhjhghhjjggh? 8/273 Calculate prob of sequence tvqs when four letters picked without replacement from {g: 2, e: 1, s: 1, t: 1, q: 1, v: 1}. 1/840 Four letters picked without replacement from {w: 3, z: 2}. What is prob of sequence wwzz? 1/10 Two letters picked without replacement from {h: 1, b: 2, r: 4, s: 1}. What is prob of sequence sr? 1/14 What is prob of sequence lq when two letters picked without replacement from {q: 7, l: 1, u: 2}? 7/90 Calculate prob of sequence yy when two letters picked without replacement from cyyyaaaaa. 1/12 Three letters picked without replacement from {j: 2, r: 1, s: 4, l: 4, z: 1, c: 3}. Give prob of sequence cjr. 1/455 What is prob of sequence exxe when four letters picked without replacement from {u: 1, x: 7, n: 3, m: 1, e: 3, r: 2}? 3/680 Two letters picked without replacement from soxdyoxodax. Give prob of sequence sd. 1/55 What is prob of sequence fyb when three letters picked without replacement from {e: 1, y: 1, b: 1, f: 3, l: 2, g: 4}? 1/440 Calculate prob of sequence dddl when four letters picked without replacement from lldddllldlldlllddldd. 77/1615 What is prob of sequence onis when four letters picked without replacement from jsojjsinojo? 1/1320 What is prob of sequence vkv when three letters picked without replacement from kkkkkkkvv? 1/36 Four letters picked without replacement from iiqqqiqqqqqipcipii. Give prob of sequence iqpi. 7/765 Two letters picked without replacement from fxxnorfoc. What is prob of sequence rc? 1/72 Four letters picked without replacement from {a: 3, b: 5, j: 3, r: 6, k: 1}. Give prob of sequence kbaa. 1/2448 Four letters picked without replacement from {g: 3, c: 1, z: 1, i: 7}. Give prob of sequence zcii. 7/1980 What is prob of sequence zzvz when four letters picked witho
{ "pile_set_name": "DM Mathematics" }
p? -3 Let l be (-27)/91 - 4/(-26). What is the smallest value in l, 1, 0.3? l Let n = -69 + 69. Let d = 0.56 + -0.5. Let i = -2.06 + d. What is the second smallest value in 2/3, n, i? n Let u = 5.6 - 5. Let m = -0.9 + u. Which is the second biggest value? (a) -0.4 (b) 1 (c) m c Let o = -3 + 2. Let r = 6 - 6. Let s = r - 2. Which is the second smallest value? (a) o (b) 3 (c) s a Let s = 5.02 - 0.02. What is the smallest value in -1/6, s, 2, 0.2? -1/6 Let l = -0.7 + 0.8. Suppose -4*v = 5*g - 17, -2*v = 3*g + 2*g - 11. Let k be 2*1/33*v. What is the smallest value in k, l, 1? l Suppose -8 + 2 = 3*t. Let c be (2/2 + t)*-2. Let f = -2 - c. What is the second smallest value in -2, 2/15, f? -2 Let i be (-1120)/272 - 4/(-1). What is the second biggest value in 0.2, 1/6, i, 0.5? 0.2 Suppose 19*z = 17*z + 8. Suppose -s = 4, -g - 7 = -5*s - 27. Which is the third smallest value? (a) -5 (b) z (c) g b Let r = -70 - -9. Let g = 731/12 + r. Which is the second biggest value? (a) g (b) 0.3 (c) -2/3 a Let w be 8/40 - (-3)/(-15). Let p = 2 - 1.8. What is the second biggest value in 7, w, p? p Let k = -57 - -56.6. Which is the smallest value? (a) 0 (b) -0.2 (c) k c Let r = 1.9 + 9.1. Let n = r + -12. Which is the smallest value? (a) n (b) -4 (c) 1/4 b Let g = -0.04 + 0.34. Let n = 0.3 - g. Let h = -0.53 - -0.13. Which is the second smallest value? (a) h (b) -5 (c) n a Let l = -2 - -1.7. Let v = -7 - -7.2. Let r = 0.22 - v. Which is the smallest value? (a) 0 (b) r (c) l c Let k be ((16*-1)/(-4) + -6)/(-7). Which is the fourth biggest value? (a) 8 (b) 0.3 (c) k (d) -2 d Let b = -0.1 - -0.2. Let y = -4 + 5. Let u be ((-1)/7)/(y*-1). What is the biggest value in 0.5, b, u? 0.5 Let n = -1863 - -9523/5. Let q = n + -42. Which is the third biggest value? (a) 1/4 (b) 1 (c) q c Let p = 4.94 - -0.06. Let q = -39 + 34.3. Let y = p + q. What is the biggest value in -5, -2/7, y? y Let g = -5.9 + 2.9. Which is the biggest value? (a) 0.3 (b) g (c) 5 (d) 7 d Let g = -0.1 + 0.1. Let j = 10 + -11. Which is the smallest value? (a) j (b) g (c) 0.4 a Let l = -1.48 + 0.48. Which is the third biggest value? (a) 1 (b) l (c) 5 (d) -2 b Let q = -6.3 + -0.7. Let k = q - -5. Suppose 2*j + j = 3*n + 3, 2*j = n + 5. Which is the second biggest value? (a) k (b) 3/7 (c) j b Let s be ((-3)/(-8))/(5 - 65/10). What is the fourth smallest value in 1/4, 12, 4/3, s? 12 Let k = -38 + 227/6. Which is the second biggest value? (a) 0.4 (b) -2 (c) k (d) 4 a Let h = -0.68 + 1.18. Let v = 1.95 + -2. Let w = v - -0.35. Which is the third biggest value? (a) h (b) -2/7 (c) w b Let t = 152 + -147. What is the fourth biggest value in t, -5, 2, -0.2? -5 Let p = 10 + -6. What is the fourth biggest value in 1, 3, 5, p? 1 Suppose 4*k - 59 = -k - r, -4*k + 4*r = -28. Let h = -6 + k. Suppose 0 = m - 0 - h. Which is the third smallest value? (a) 2 (b) -2/15 (c) m c Let r = 86 - 86. What is the second smallest value in -4, 0.4, r? r Let j = 1/7 + 4/21. Let g = 3.4 - 3. Which is the smallest value? (a) j (b) -5 (c) g b Let d = 38 - 24. Let z = d + -11. Which is the third smallest value? (a) z (b) 0.4 (c) 2 a Let d = 0.3 + -0.4. Let t = 2.2 + 0.8. Let i = 2.8 - t. What is the third smallest value in 5, i, d? 5 Let d = 5 - 2. Let i = -0.126 - -1.126. Which is the third biggest value? (a) d (b) 2/15 (c) i b Let x = 1.5 + -1.4. Suppose 0*q + 2*q + 54 = 0. Let f = q + 57/2. Which is the second smallest value? (a) x (b) f (c) -5 a Let t be 5/(-2)*(-2)/(-20). Let k = -3.11 + 3.05. What is the third biggest value in k, t, 1? t Let l = 4 + -2. Let f = l + -1.5. Suppose 14*o + 3*o + 85 = 0. What is the second biggest value in -3/2, o, f? -3/2 Suppose -4*x - 24 + 8 = 0. What is the third smallest value in x, 5/6, -1/8? 5/6 Let o = -2 - -2.4. Let v be (8/(-60))/(52/5). Let s = 101/234 - v. Which is the third smallest value? (a) s (b) o (c) 3/5 c Let u = -84873/5 - -16778. Let y = 196 + u. Which is the third biggest value? (a) -1/9 (b) y (c) -0.2 b Suppose x = 6*x. Which is the biggest value? (a) x (b) -1 (c) 3 c Let g = 0.8 + -0.9. Which is the biggest value? (a) g (b) 2 (c) -2/9 b Suppose 0*l + 20 = 5*l. Let j = -5 + 2. Which is the second smallest value? (a) j (b) 0.2 (c) l b Suppose 5*r - 3*o + 79 = 0, 70 = -2*r - 2*r - o. Let t = r + 13. Which is the third biggest value? (a) 0.09 (b) t (c) -0.2 b Let l = -14.08 + 14. Let g = l - 0.22. Which is the smallest value? (a) g (b) -4/3 (c) -1/4 b Let c = -3 + 3.5. Let p = -4495/2 + 2202. Let z = p - -641/14. What is the smallest value in c, z, -3? -3 Suppose 19 = 5*m - 6. Which is the second biggest value? (a) 1/9 (b) m (c) -2/5 a Suppose 3*i - 5*w - 17 = 53, 0 = -3*i + w + 50. Let n(o) = o**3 - 14*o**2 - 15*o + 3. Let j be n(i). What is the third smallest value in -1/4, j, 5/2? j Suppose 0*i = -4*v - 4*i, -3*v - 5*i + 2 = 0. Which is the biggest value? (a) 3 (b) v (c) -5 a Let c = -0.232 - -3.292. Let m = 0.06 - c. Let r = -0.01 + 0.21. What is the biggest value in -0.5, r, m? r Let g = 46.4 + -46. Which is the biggest value? (a) -3 (b) -2/7 (c) g (d) 0.3 c Let k = 1/90 - 37/90. Let f = -11 - -17. Let l = 9 - f. What is the third smallest value in k, 2/11, l? l Suppose -3 - 1 = y. Suppose -3*j + 2 = -2*j. Let u be (j/(-36))/((-2)/(-8)). What is the second smallest value in u, -2, y? -2 Suppose -7 - 3 = -5*w. What is the smallest value in w, 4, -1? -1 Suppose 5*y - 1 = 4*w, 5*w + 0*y - 3*y = 2. Let p = -7 + 4. Let g = -3.1 - p. Which is the smallest value? (a) 2 (b) g (c) w b Let l = -1.1 + 1. Let v(i) = i**2 - 2*i + 1. Let g be v(3). Suppose -18 = g*u - 2. Which is the second biggest value? (a) l (b) u (c) -3 c Let x be (-2)/7 + 1380/28. Let h = -21 + x. Let z = 85/3 - h. Which is the smallest value? (a) -0.2 (b) z (c) -3 c Let w = 2.14 - 0.14. Which is the third smallest value? (a) 1 (b) w (c) -2/11 b Let t(r) be the first derivative of r**3/3 - 2*r - 2. Let w be t(2). Which is the second smallest value? (a) -1/5 (b) 1/2 (c) w b Suppose 2*n + 1 = 5. Let f be n/(-35) + (-1)/7. What is the biggest value in -1/3, -2, f? f Suppose 4*f = 5*f - 6. Let m be 3 + (f/(-92) - 3). Let w = m - 47/690. Which is the second smallest value? (a) 0 (b) w (c) -4/3 b Suppose -3*i + 15 = -6*i. Let l = 7 - 11. Which is the second smallest value? (a) i (b) -2 (c) l c Let s = -6.2 - -1.2. Which is the smallest value? (a) -1/7 (b) s (c) -3 b Let a = 4.5 - -4.1. Let q = a - 8. What is the third smallest value in q, -1/2, -2? q Suppose 0 = 3*z - 2*f - 17, -2*f - 5 = 3*f. Which is the biggest value? (a) -12 (b) 0 (c) z c Let j = -623 - -620.07. Let k = -0.07 + j. Which is the third biggest value? (a) -3/5 (b) k (c) -4 c Let p = 5237/22 + -238. What is the third biggest value in 2, 0.2, p? p Let p = -59 - -53.7. Let l = 5 + p. Which is the third smallest value? (a) -0.2 (b) -2 (c) l a Let f = 9/85 + -121/340. Let h = -0.05 - 0.02. Which is the second smallest value? (a) h (b) f (c) -0.2 c Let x = 0.7 + -0.2. Let m be (-4)/(-22) - 384/(-66). Suppose 4*s - 8 = m*s. Which is the biggest value? (a) s (b) 1/4 (c) x c Let n = 49 + -50. Let c = -786/575 - -32/25. What is the third smallest value in n, -4, c? c Let u = -3.3 - -19.3. Let f = -15.7 + u. Which is the smallest value? (a) -4 (b) 3 (c) f a Let p = 25 - 30. Which is the second smallest value? (a) p (b) 2/7 (c) 0.1 (d) 3/5 c Let o = 0.03 + -0.43. Let x = 291.91 + -295. Let u = 0.09 + x. What is the second smallest value in u, o, 5/2? o Let n(p) = p**3 - 5*p**2 + 2*p + 2. Let l be n(4). Let s be (-6)/(-4)*(-8)/l. What is the second biggest value in s, 0.5, 3? s Let y = -2 + 1.6. Let d be -4*(-4)/24*-1. Let q be -2 - (1 + (-4 - -1)). Which is the second biggest value? (a) q (b) y (c) d b Suppose -f + 3*t = -t + 7, -12 = -4*t. Let u = 8 - f. Which is the second smallest value? (a) -1 (b) 2/11 (c) u b Let j = 6 + -8. Let w = j + -7. Let t = -4 - w. Which is the third biggest value? (a) -0.4 (b) t (c) -4/3 c Let p be 6/12 - 3/(-2). Suppose -6*x = -p*x + 20. Which is the third smallest value? (a) x (b) -3 (c) -5/6 c Let b be (-8)/(-52) - (-28)/156. What is the smallest value in -5, b, -4? -5 Suppose 0 = 4*d, -
{ "pile_set_name": "DM Mathematics" }
6*l**3 + 14*l + 6*l**2. Let q be n(7). What is q rounded to the nearest one hundred thousand? 0 Let t = 0.10705471 - -45.89295154. Let q = 46.25 - 0.25. Let f = q - t. Round f to 6 dps. -0.000006 Let h = -181.8771 + -0.5829. Round h to the nearest integer. -182 Let p = -312.1 + 5.1. Let h = -306.9702 - p. Round h to 3 decimal places. 0.03 Let h = 100.7297 + -100.8. Let u = 0.07223 + h. Round u to 3 decimal places. 0.002 Let m = 694.69403326 + -726.99403. Let v = 32.3 + m. What is v rounded to 6 dps? 0.000003 Let z = -158 + 86. Let n = z - -293. Let v = n - 435. Round v to the nearest 10. -210 Let f = 493537 - 497746.789. Let y = 4159.789188 + f. Let h = -50 - y. Round h to five decimal places. -0.00019 Let r = 970.43 + -977. Let j = 1.27 + r. Let k = -5.30019 - j. What is k rounded to four dps? -0.0002 Let w(a) = 1352*a**3 + 13*a**2 + 7*a + 8. Let g(i) = 2*i**3 - i**2 + 1. Let t(f) = -6*g(f) - w(f). Let v be t(-6). What is v rounded to the nearest 100000? 300000 Let r = -1067 + 1076.94. Let k = r + 0.46. What is k rounded to 1 decimal place? 10.4 Let m = 87164 - 87136.7505. Let z = -27.1 + m. What is z rounded to two decimal places? 0.15 Let i = 1939456.501621 - 1939455. Let p = 1.501 - i. Round p to five dps. -0.00062 Let a = -81 + 189. Let c = a + -148.6. Round c to the nearest ten. -40 Let b = -2.37 - -0.27. Let h = -0.217 + 26.517. Let o = b + h. What is o rounded to the nearest integer? 24 Let p = 0.027552 - 0.324382. What is p rounded to two dps? -0.3 Let t = 773 + -777.524. Let f = t - 1.166. Let s = -5.7183 - f. Round s to three dps. -0.028 Let l = 1739.7 - -133.7. Round l to the nearest 100. 1900 Suppose -39693988 = 2*v + 2*m, -396*m + 398*m = 12. What is v rounded to the nearest one hundred thousand? -19800000 Let h = 1492.9999997326 + -1493. What is h rounded to 7 decimal places? -0.0000003 Let i = 160.8965 - 0.9665. Round i to the nearest integer. 160 Let i = 0.06976 - 0.090405. Round i to three decimal places. -0.021 Let q(l) = -13*l - 87. Let r be q(-8). Let f be 1 + -1 - 13447000/r. What is f rounded to the nearest one hundred thousand? -800000 Let i = -371.7 - -315.96. Let k = 0.96 - i. Let j = 57 - k. Round j to the nearest integer. 0 Let u = 253.59 + -253.590054. Round u to 6 decimal places. -0.000054 Let a be (1 + -1 - 1079) + 4. Let o be 16/(-28) + a/(-7). Suppose -12250 = -o*v + 158*v. Round v to the nearest one hundred. -2500 Let y be (-14)/5 - 14/70. Let r be (1 + (-7)/2)/(y/(-816)). Let m = r - -2140. Round m to the nearest 100. 1500 Let o = 9802 - -45482. Suppose 3*g - o = -g. Suppose 2421 = -2*r + g. What is r rounded to the nearest 1000? 6000 Let m = 30911004 + -30845957.986. Let k = m + -64982. Let v = k + -64. What is v rounded to three dps? 0.014 Let u = -20.7701 - 4.7886. Let o = -25.6 - u. What is o rounded to three decimal places? -0.041 Let m = 706510.1609335 + -706510. Let n = -10.5 - -10.339. Let s = n + m. What is s rounded to 6 decimal places? -0.000067 Suppose 7*t = 3*t - 3*d - 63, -5*t + 3*d - 72 = 0. Let h be (7992/t)/((6/(-2500))/3). What is h rounded to the nearest 10000? 670000 Let n(v) = -92*v**2 + 95*v - 3. Let x(z) = -182*z**2 + 190*z - 7. Let b(u) = -5*n(u) + 2*x(u). Let q be b(7). Round q to the nearest 100. 4000 Let h = -804.32 - -4988.02. What is h rounded to the nearest ten? 4180 Let s = 1784.6 + -1784.599985351. What is s rounded to 7 decimal places? 0.0000146 Let t = 68 - 69.18. Let g = 0.017 - 0.577. Let j = t + g. Round j to one decimal place. -1.7 Let q = -210 + -128. Let s = -335.056 - q. Let g = s - 0.094. What is g rounded to 1 decimal place? 2.9 Let y = 3.299 - 2.459. Let s = 1.54 + -0.754. Let j = s - y. What is j rounded to 2 dps? -0.05 Let g = 37 + -79. Let b = 42.00133 + g. What is b rounded to 4 decimal places? 0.0013 Suppose -14*n + 2242251282 - 200771282 = 0. What is n rounded to the nearest one million? 146000000 Let j = -2.81909 - 0.50481. Let f = -0.0279 - j. What is f rounded to one dp? 3.3 Let a be -3901211 - 2/(810/(-99) + 8). What is a rounded to the nearest one million? -4000000 Let z = -0.04334822349 + 90.04335063349. Let a = -94.63 + 4.63. Let n = z + a. Round n to 7 decimal places. 0.0000024 Let k = -860 + 859.6084. Let v = -0.0224 + k. What is v rounded to 1 dp? -0.4 Let i be 28/6 + (-22)/33. Let q(x) be the first derivative of x**4/4 + 4*x**3/3 - 2*x**2 + 8*x - 267. Let j be q(i). Round j to the nearest one hundred. 100 Suppose 7496 = -30*c + 38*c. Let a = -1597 + c. Round a to the nearest one hundred. -700 Let k = -30448 - -30316.69. Round k to the nearest 10. -130 Let l = 1109.86 + -1123. Let g = 13.4 + -1.4. Let t = g + l. Round t to the nearest integer. -1 Let h = -1386 - -1386.0000003282. Round h to seven dps. 0.0000003 Let k(c) be the first derivative of 290476*c**2 + 8*c + 109. Suppose -2*y - 105 = -7*y. Let i be k(y). Round i to the nearest 1000000. 12000000 Suppose 0 = -4*g + 9*g + 20. Let r(y) = 6*y + 70. Let q be r(-13). Let u = q - g. What is u rounded to the nearest 10? 0 Let i = 350.07 + -348. Let l = i - 1.852. Let h = l - 0.21800955. Round h to six dps. -0.00001 Suppose -43*m + 74*m - 42*m = -163097. Round m to the nearest 100. 14800 Let x = -31521 + 31521.00017261. Round x to six decimal places. 0.000173 Let m be (12800/48)/((-3)/(-1131919 + -11)). Round m to the nearest one million. 101000000 Let y(x) be the first derivative of 129*x**2/2 + 5*x + 21. Let c(q) = -1. Let j(p) = -6*c(p) - y(p). Let f be j(-4). Round f to the nearest 100. 500 Let u(y) = 4*y**2 - 13*y - 11. Let m be u(4). Let v be (-162330007)/21 + m/3. What is v rounded to the nearest one million? -8000000 Suppose 19*h - 34 = -34. Suppose -84*m + 90*m - 3210000 = h. What is m rounded to the nearest 100000? 500000 Let v = -70 + 69.953. Let s = v + 11.447. Let z = -5 + s. What is z rounded to 0 decimal places? 6 Let d = 0.073635947 + -0.073605. Round d to 6 decimal places. 0.000031 Let r = 4744 - 34164. Round r to the nearest ten thousand. -30000 Let i = -597727 + -280673. Let r be (i/(-6))/(2/75). What is r rounded to the nearest 1000000? 5000000 Let u(f) = -282*f**2 + 560*f**2 - 135*f + 28*f - 6. Let m be u(-34). What is m rounded to the nearest 10000? 330000 Let h = 11306.7 + -10592. Let j = h + -845. Let x = 123 + j. What is x rounded to 0 dps? -7 Suppose -2*b + 8*b = 18769542. Let v = b + -1661257. Round v to the nearest 10000. 1470000 Let l = -717.0000010146 + 717. What is l rounded to 7 dps? -0.000001 Let m = 614 + -362. Let h = m + -112. Let c = h + -140.648. Round c to 2 decimal places. -0.65 Let o = -7437.22795 + 0.12795. What is o rounded to the nearest one hundred? -7400 Let k(x) = -60500*x + 3 - 3. Suppose 336*h - 329*h = 28. Let z be k(h). What is z rounded to the nearest ten thousand? -240000 Let d be 6307652/(-707) - (-6)/(-21). Round d to the nearest 1000. -9000 Let s = 11.14182887 - 9.71875. Let k = 1.3630811 - s. Let m = k - -0.06. What is m rounded to seven dps? 0.0000022 Let g = 0.0148896 - 9.0149596. Let m = 581 - 572. Let v = g + m. What is v rounded to four decimal places? -0.0001 Let m = 125.917 + -117.63. Let x = m + 0.213. What is x rounded to the nearest integer? 9 Let v = 137 + -114. Let w(i) = -141*i**2 + 28*i - 55. Let p be w(v). Round p to the nearest ten thousand. -70000 Let u(b) = -b**2. Let p(v) = 3944*v**2 - 8*v + 1. Let w(z) = p(z) + 3*u(z). Let a be w(4). Suppose -c - 10975 = a. What is c rounded to the nearest 10000? -70000 Let p = 2594.21 + 249.59. Round p to the nearest one thousand. 3000 Let d = 25.344196 - -12.656282. Let k = -13.1 + -24.9. Let u = k + d. What is u rounded to four dps? 0.0005 Let i = -578.25 + 3653.15. What is i rounded to the nearest 10? 3070 Suppose 413*s = 410*s + 1842255. Let k = 1176616 + -808531. Let x = s - k. Round x to the nearest ten thousand. 250000 Let o = 0.418 + 78.082. Let n = 728.1 - 700. Let d = o - n. Round d to the nearest 10. 50 Let g = -6297 - -6297.00424. What is g rounded to 3 decimal places? 0.004 Let z = -338.87 - -336. Let l = -2.801 - z. What is l rounded to two dps? 0.07 Let p = -25.868 + 26. Let t = p - 0.132188. What is t rounded to five decimal places? -0.00019 Suppose -17*x = 10*x - 1863. Let s be ((-933)/5)/(x/(-230)). What is s rounded to the nearest one thousand? 1000 Let g = -1720401 -
{ "pile_set_name": "DM Mathematics" }
e 3*u - g = -4*o + 8, 5*o = -3*u + 26. Calculate the remainder when o is divided by 3. 1 Let s(a) = -51*a - 17. Calculate the remainder when s(-25) is divided by 28. 26 Suppose -3*k = -5*g - 632, 2*k + 106 = -g - 23. Let f = -85 - g. Calculate the remainder when f is divided by 11. 9 Let u(c) be the first derivative of 6 - 3*c + 2/3*c**3 + 7/2*c**2. What is the remainder when u(-6) is divided by 15? 12 Let u(v) = 8*v**3 - 6*v**2 + 16*v - 14. Calculate the remainder when u(2) is divided by 37. 21 Suppose 3*g = 4*g. Suppose -5*k - o + 128 = 0, -k + g*o - o + 24 = 0. What is the remainder when k is divided by 15? 11 Suppose 8*n - 12 = 20. Suppose 0 = y + s - 92, 2*y = n*y + s - 186. What is the remainder when y is divided by 24? 22 Let b = -504 + 791. Suppose -3*v - 295 = -4*c, -3*c - 5*v = c - b. Suppose -4*p = 5*a - a - 108, -4*a + 102 = p. What is the remainder when c is divided by a? 23 Let m(q) = q**2 - q - 4. Let n = 79 + 34. Calculate the remainder when n is divided by m(7). 37 Suppose v - 16 = -2*n + 50, -114 = -2*v + 2*n. Calculate the remainder when v is divided by 26. 8 Suppose 3*n + 15 = 2*z, -5*z + n + 49 = 5*n. Let t = 7946 + -7921. Calculate the remainder when t is divided by z. 7 Suppose -5*p + 10 = -o, 2*o - 2 = 5*p - 17. Let y(i) = i + 9. Let c be y(o). Suppose 25 = c*g + g. What is the remainder when g is divided by 4? 1 Suppose k = -11*k + 192. Suppose -k = -4*p + 64. What is the remainder when 79 is divided by p? 19 Let y(c) = -6*c - 4. Let f be y(-11). Let r = -44 + f. What is the remainder when 84 is divided by r? 12 Let j(b) = 10*b**2 - 15*b - 2. Suppose -v = f - 0 - 10, v = f. Suppose 0*z = -4*p + 5*z + 63, 5*p - f*z = 85. Calculate the remainder when p is divided by j(2). 6 What is the remainder when (0 + 4)/((-580)/(-90) - 6) is divided by 6? 3 What is the remainder when 119 is divided by (-1)/6 + 134/(-36)*-3? 9 Let h = -419 - -615. Calculate the remainder when h is divided by 62. 10 Let r = 33 + -6. Let d = r + 2. Let o = -22 + d. What is the remainder when 26 is divided by o? 5 Let a = 30 + -19. What is the remainder when 39 is divided by a? 6 What is the remainder when 154 is divided by (328/(-12))/(6/(-9)) + -2? 37 Suppose -3*u + 0*n + 975 = -4*n, -1648 = -5*u - n. What is the remainder when u is divided by 53? 11 Suppose 2*m = 4*m - 668. Suppose 60 = -2*x + m. Calculate the remainder when x is divided by 20. 17 Suppose 115 = 11*l + 12*l. What is the remainder when 824 is divided by l? 4 Suppose -5*r = -2*b + 355, -4*r - 2*b = -5*r - 63. Let g = -65 - r. Suppose -5*v = 3*k - 21, 4*k + 7 - 3 = 4*v. Calculate the remainder when g is divided by v. 2 Let l(m) = 7*m**2 + m. Let t be l(1). Let c(b) = 0 + 7 + 8*b + 8*b**2 - 2*b - b**3 - 22. What is the remainder when c(t) is divided by 17? 16 Let u(i) = -17 + 4 + 3*i + 56*i**2 - 55*i**2. Calculate the remainder when 43 is divided by u(-7). 13 Let y = -260 - -295. Calculate the remainder when 104 is divided by y. 34 Let k be 54/(-12)*4/(-6). Let r(a) = -a + 5. Suppose -18 = -5*s + 3*s - c, 12 = 3*c. Calculate the remainder when s is divided by r(k). 1 What is the remainder when 24/((-9)/3) + 175 is divided by 84? 83 Let h be -2*(-2)/4 - 1. Let o(g) = g**3 + g**2 - g + 21. Suppose -2*a = -a - 3*u - 30, -4*a + 147 = -3*u. What is the remainder when a is divided by o(h)? 18 Let c = 353 + -226. Suppose 5*w - 138 - 75 = 2*t, 0 = 3*w - 2*t - c. What is the remainder when w is divided by 16? 11 Let f = 49 - 11. Let i = f - -21. Suppose 0 = r - 7 - 13. Calculate the remainder when i is divided by r. 19 Suppose 0 = -2*h + 68 - 26. Let k = -31 - -43. Suppose -17*c + 515 = -k*c. What is the remainder when c is divided by h? 19 Let m(n) = -2*n**3 - 25*n**2 - 14*n - 11. Calculate the remainder when 71 is divided by m(-12). 6 Let u(z) = z**2 - 2*z - 30. What is the remainder when u(-12) is divided by 20? 18 Calculate the remainder when 21 is divided by 5*(-3 - -4) + 2. 0 Let z(p) = -140*p + 2. Let q be z(1). Let t be ((-9)/6)/(9/q). Suppose -t = -s + 16. What is the remainder when s is divided by 14? 11 Let f = -2 - -3. Suppose -f = -3*y + 2*y. Calculate the remainder when 18 is divided by 7 - (8/4 + y). 2 Let s = -9 + 17. Let x(f) = 3*f - 10. Suppose -43 + 262 = 4*q + c, -q + 42 = -4*c. What is the remainder when q is divided by x(s)? 12 What is the remainder when 32/20 - (-4067)/5 is divided by 19? 17 Suppose 518*y - 495*y - 1518 = 0. Calculate the remainder when y is divided by 17. 15 Suppose 3*u - 97 = 8*p - 4*p, 3*p - 210 = -5*u. Suppose a = 6 + 5. What is the remainder when u is divided by a? 6 Let s be ((-50)/(-18) - 3) + 3906/81. Suppose 0 = 4*u - r - 95, -4*u + 50 = -2*u + 2*r. Let j = s - u. Calculate the remainder when j is divided by 9. 6 Let i(l) = -l + 19. Let s be i(17). Suppose -10 = s*x - 30. What is the remainder when 39 is divided by x? 9 Suppose -w + 2*w + 3*r = 26, 9 = 3*r. What is the remainder when w is divided by 5? 2 Let m(r) = r**2 + 3*r + 2. Let g be m(-2). What is the remainder when 19 is divided by (g/(-2) + -1)*-8? 3 Suppose -16*f + 35*f - 2660 = 0. Calculate the remainder when f is divided by 48. 44 Let w(z) = 13*z - 2. Suppose 0 = 3*j - 5 - 4. Calculate the remainder when w(j) is divided by ((-10)/(-3))/(1/6). 17 Let u(j) = j + 57. Let a(p) = -29. Let b(r) = -5*a(r) - 2*u(r). Let f(g) = -3*g - 8. Let k be f(-6). Calculate the remainder when 21 is divided by b(k). 10 Let p(a) = a - 1. Let q be p(3). Suppose -q*f + 27 = f. Calculate the remainder when f is divided by 4 + 3*(10/15)/(-2). 0 Let g(f) = 23*f + 433. Suppose h - q = -3*q + 20, -5*h + q = -67. Calculate the remainder when g(-16) is divided by h. 9 Let g(h) = -4*h - 51. Calculate the remainder when g(-15) is divided by 3. 0 Calculate the remainder when 753 is divided by 28/(-105)*3 + (-64)/(-5). 9 Suppose 0 = -b + 5*s + 11, -95*s - 27 = -5*b - 98*s. Calculate the remainder when 8 is divided by b. 2 Let w = 4 - -23. Suppose -6*r + 742 = r. What is the remainder when r is divided by w? 25 Suppose -121 = f - 18. Let p = 110 + f. Let q(t) = -t**3 - 6*t**2 - 6*t + 7. Calculate the remainder when q(-5) is divided by p. 5 Suppose -89*w + 3587 - 1184 = 0. What is the remainder when w is divided by 20? 7 Let n(o) = -o**2 + 8*o + 371. Calculate the remainder when 313 is divided by n(-14). 61 Suppose 0*m + i + 22 = m, 4*i = -2*m + 14. Let v(x) = 3*x**2 + 13*x - 1. Calculate the remainder when m is divided by v(-5). 8 What is the remainder when 276 is divided by (-6984)/(-90) - (32/20)/(-4)? 42 Let t be 464/6 + (2 - 14/6). Let v = -70 + t. Suppose 4*p = 12, h + 5 = -5*p + 47. What is the remainder when h is divided by v? 6 Let d be ((-2)/(-4))/(5/20). Suppose 0*g = -g + 18. Let p = g + d. Calculate the remainder when p is divided by 6. 2 Let h(l) = 17*l - 2. Let q be h(1). Let j = q + -4. Suppose -23 = -u + 18. Calculate the remainder when u is divided by j. 8 Let k(y) = -y**3 + y**2 + 2*y. Let m be k(-1). Suppose 4*b - 17 - 59 = m. Calculate the remainder when 71 is divided by b. 14 Let k = 9 - 6. What is the remainder when 18/(-4)*(-16)/k is divided by (-3 - (-13)/2)*(5 - 3)? 3 Suppose 0 = -6*z + 3*z + 102. Let a = -37 - -59. What is the remainder when z is divided by (-1040)/(-88) - (-4)/a? 10 Let x = 555 - 515. What is the remainder when x is divided by 11? 7 Suppose 11*o = 2*o + 135. Suppose 3*u + 2*u = 135. Calculate the remainder when u is divided by o. 12 Let j = -128 - -129. What is the remainder when j - 4 - -2*(-2 + 34) is divided by 23? 15 Suppose -5*k + 30 = y, -4*k = -6*y + y + 5. Suppose 2*d - 6 - 26 = -4*n, -64 = -k*d - 2*n. Calculate the remainder when d is divided by 3. 0 Suppose -8*j = -201 - 95. What is the remainder when j is divided by (-10)/(-6)*3*2? 7 Let y = -2 - -33. Let w = y + 10. What is the remainder when w is divided by 6? 5 Let z be 10 - 3/((-9)/6). Let q(g) = -1 - 7*g**2 + z*g**2 + 2*g - 3*g. What is the remainder when 8 is divided by q(-1)? 3 Let b(v) = -20 + 18 - 13 - 2*v. Let c(d) = 2*d**2 - 4*d - 5. What is the remainder when c(4) is divided by b(-9)? 2 Let x be -26*6/4*-1. Let q = 128 - x. Calculate the remainder when q is divided by 15. 14 Suppose 3*u + 4*b - 46 = u, -3*u + 63 = 3*b. Let f = u + 36. Calculate the remainder when f is divided by 14. 13 Let i(m) = -2*m
{ "pile_set_name": "DM Mathematics" }
? 2462 What is 692078 to the power of 1/3, to the nearest integer? 88 What is the cube root of 34099 to the nearest integer? 32 What is 363129 to the power of 1/2, to the nearest integer? 603 What is 893600 to the power of 1/5, to the nearest integer? 15 What is the square root of 1663588 to the nearest integer? 1290 What is 4203456 to the power of 1/3, to the nearest integer? 161 What is the square root of 104430 to the nearest integer? 323 What is 2024084 to the power of 1/3, to the nearest integer? 126 What is the cube root of 744495 to the nearest integer? 91 What is the eighth root of 4039889 to the nearest integer? 7 What is 10417152 to the power of 1/3, to the nearest integer? 218 What is 129658 to the power of 1/3, to the nearest integer? 51 What is 17145355 to the power of 1/5, to the nearest integer? 28 What is the fifth root of 885351 to the nearest integer? 15 What is 32627868 to the power of 1/8, to the nearest integer? 9 What is the third root of 495492 to the nearest integer? 79 What is 5921433 to the power of 1/2, to the nearest integer? 2433 What is 6852601 to the power of 1/4, to the nearest integer? 51 What is the square root of 3097603 to the nearest integer? 1760 What is the fourth root of 11845572 to the nearest integer? 59 What is 3799652 to the power of 1/2, to the nearest integer? 1949 What is the square root of 21030 to the nearest integer? 145 What is 978947 to the power of 1/2, to the nearest integer? 989 What is the third root of 402801 to the nearest integer? 74 What is 2644510 to the power of 1/7, to the nearest integer? 8 What is the third root of 13045416 to the nearest integer? 235 What is 213132 to the power of 1/2, to the nearest integer? 462 What is the tenth root of 6378045 to the nearest integer? 5 What is the cube root of 787753 to the nearest integer? 92 What is 252580 to the power of 1/3, to the nearest integer? 63 What is 7448818 to the power of 1/2, to the nearest integer? 2729 What is the third root of 8283112 to the nearest integer? 202 What is 1706513 to the power of 1/2, to the nearest integer? 1306 What is 3493119 to the power of 1/7, to the nearest integer? 9 What is the cube root of 823446 to the nearest integer? 94 What is 19871895 to the power of 1/4, to the nearest integer? 67 What is the third root of 1194919 to the nearest integer? 106 What is the eighth root of 429379 to the nearest integer? 5 What is the ninth root of 1051936 to the nearest integer? 5 What is 203495 to the power of 1/10, to the nearest integer? 3 What is the third root of 223084 to the nearest integer? 61 What is 1757191 to the power of 1/2, to the nearest integer? 1326 What is 18722577 to the power of 1/8, to the nearest integer? 8 What is 208228 to the power of 1/2, to the nearest integer? 456 What is 127138 to the power of 1/3, to the nearest integer? 50 What is the sixth root of 4030708 to the nearest integer? 13 What is 1506427 to the power of 1/4, to the nearest integer? 35 What is 147247 to the power of 1/3, to the nearest integer? 53 What is 7662 to the power of 1/7, to the nearest integer? 4 What is 101514 to the power of 1/2, to the nearest integer? 319 What is the eighth root of 67300 to the nearest integer? 4 What is the cube root of 2002565 to the nearest integer? 126 What is the sixth root of 78836 to the nearest integer? 7 What is 12645 to the power of 1/2, to the nearest integer? 112 What is 917777 to the power of 1/2, to the nearest integer? 958 What is the ninth root of 28501438 to the nearest integer? 7 What is 5026705 to the power of 1/7, to the nearest integer? 9 What is 175871 to the power of 1/3, to the nearest integer? 56 What is 342346 to the power of 1/3, to the nearest integer? 70 What is the third root of 670104 to the nearest integer? 88 What is 3342304 to the power of 1/3, to the nearest integer? 150 What is 99999 to the power of 1/3, to the nearest integer? 46 What is the seventh root of 10441532 to the nearest integer? 10 What is 1325583 to the power of 1/3, to the nearest integer? 110 What is the square root of 532863 to the nearest integer? 730 What is the cube root of 446023 to the nearest integer? 76 What is 27084729 to the power of 1/2, to the nearest integer? 5204 What is 8341366 to the power of 1/2, to the nearest integer? 2888 What is the fourth root of 10949448 to the nearest integer? 58 What is 253999 to the power of 1/2, to the nearest integer? 504 What is the third root of 1497259 to the nearest integer? 114 What is 15519658 to the power of 1/8, to the nearest integer? 8 What is the sixth root of 4075017 to the nearest integer? 13 What is 5343352 to the power of 1/6, to the nearest integer? 13 What is the cube root of 929070 to the nearest integer? 98 What is the eighth root of 565317 to the nearest integer? 5 What is 5763936 to the power of 1/7, to the nearest integer? 9 What is 420072 to the power of 1/9, to the nearest integer? 4 What is the eighth root of 160861 to the nearest integer? 4 What is the square root of 24564361 to the nearest integer? 4956 What is 31583088 to the power of 1/8, to the nearest integer? 9 What is 6661552 to the power of 1/3, to the nearest integer? 188 What is 5707309 to the power of 1/4, to the nearest integer? 49 What is the cube root of 245967 to the nearest integer? 63 What is the third root of 731699 to the nearest integer? 90 What is 6332501 to the power of 1/8, to the nearest integer? 7 What is the square root of 144838 to the nearest integer? 381 What is 2001099 to the power of 1/3, to the nearest integer? 126 What is 1571840 to the power of 1/9, to the nearest integer? 5 What is 8668602 to the power of 1/3, to the nearest integer? 205 What is the seventh root of 2207826 to the nearest integer? 8 What is 62110 to the power of 1/3, to the nearest integer? 40 What is the square root of 215425 to the nearest integer? 464 What is 12721131 to the power of 1/2, to the nearest integer? 3567 What is the ninth root of 36040112 to the nearest integer? 7 What is 233029 to the power of 1/2, to the nearest integer? 483 What is the third root of 23711969 to the nearest integer? 287 What is the eighth root of 8902404 to the nearest integer? 7 What is the cube root of 15574404 to the nearest integer? 250 What is 1610800 to the power of 1/3, to the nearest integer? 117 What is the square root of 213093 to the nearest integer? 462 What is 309544 to the power of 1/3, to the nearest integer? 68 What is 212050 to the power of 1/5, to the nearest integer? 12 What is the third root of 868917 to the nearest integer? 95 What is 1217649 to the power of 1/3, to the nearest integer? 107 What is the square root of 6157866 to the nearest integer? 2482 What is the square root of 121671 to the nearest integer? 349 What is 9799044 to the power of 1/2, to the nearest integer? 3130 What is 5579 to the power of 1/10, to the nearest integer? 2 What is 2503797 to the power of 1/3, to the nearest integer? 136 What is the square root of 129377 to the nearest integer? 360 What is 61554 to the power of 1/3, to the nearest integer? 39 What is the eighth root of 144779 to the nearest integer? 4 What is the third root of 207882 to the nearest integer? 59 What is the cube root of 1581712 to the nearest integer? 117 What is 251007 to the power of 1/2, to the nearest integer? 501 What is 1633284 to the power of 1/10, to the nearest integer? 4 What is the fifth root of 1764505 to the nearest integer? 18 What is the fifth root of 342990 to the nearest integer? 13 What is 458465 to the power of 1/3, to the nearest integer? 77 What is the tenth root of 27875168 to the nearest integer? 6 What is 426008 to the power of 1/5, to the nearest integer? 13 What is the square root of 210754 to the nearest integer? 459 What is the third root of 573538 to the nearest integer? 83 What is 68565 to the power of 1/6, to the nearest integer? 6 What is the square root of 1361498 to the nearest integer? 1167 What is 853624 to the power of 1/8, to the nearest integer? 6 What is 438828 to the power of 1/3, to the nearest integer? 76 What is 148509 to the power of 1/9, to the nearest integer? 4 What is 11345505 to the power of 1/9, to the nearest integer? 6 What is 615514 to the power of 1/2, to the neares
{ "pile_set_name": "DM Mathematics" }
1)**3 Let x(f) be the first derivative of f**6/3 + 6*f**5/5 - f**4/2 - 14*f**3/3 + 8*f + 137. Determine r so that x(r) = 0. -2, -1, 1 Let s be -6 + 3 - 31409/(-91). Let d = s + -342. Suppose d*g**2 - 2/13*g**3 + 0*g + 0 = 0. What is g? 0, 1 Factor 1088/19*j - 147968/19 - 2/19*j**2. -2*(j - 272)**2/19 Let z(n) be the first derivative of -2*n**5/5 + 10*n**3/3 - 8*n - 91. Suppose z(o) = 0. What is o? -2, -1, 1, 2 Let w(a) be the third derivative of 0*a + 1/6*a**4 - 1/168*a**8 - 1/6*a**5 + 1/20*a**6 + 1/105*a**7 + 0*a**3 + 6*a**2 + 0. Let w(f) = 0. Calculate f. -2, 0, 1 Let w be (-24)/(-10) - (-840)/2800. Factor 27/5*s**4 + s**2 + 18/5*s**3 + 0 + w*s**5 + 1/10*s. s*(s + 1)*(3*s + 1)**3/10 Suppose -7 = -2*y - t, -2*y = 3*y + 2*t - 16. Factor c**y + c**2 - 5 + 2 + 6*c - 5*c**2. -3*(c - 1)**2 Let o(z) = 8*z**3 + 48*z**2 + 128*z - 4. Let a(b) = -7*b**3 - 48*b**2 - 128*b + 3. Let s(y) = -4*a(y) - 3*o(y). Factor s(m). 4*m*(m + 4)*(m + 8) Let w(f) = 5*f**2 + 6*f - 2. Suppose -29 = -4*p + a, 3*a = -p + 4*p - 33. Let i(r) = -5*r**2 - 6*r + 1. Let z(k) = p*i(k) + 4*w(k). What is g in z(g) = 0? -1, -1/5 Let f(p) = p**3 - 9*p**2 - 4*p + 6. Let n = -12 + 6. Let u(c) = -c**3 + 8*c**2 + 3*c - 5. Let q(l) = n*u(l) - 5*f(l). Let q(z) = 0. Calculate z. 0, 1, 2 Factor 23*m**3 - 28*m**3 - 275*m - 65*m**2 + 0*m**2 - 375. -5*(m + 3)*(m + 5)**2 Let m(h) be the third derivative of h**6/120 - h**5/60 - h**4/12 + 57*h**2. Factor m(a). a*(a - 2)*(a + 1) Let o(x) = 0*x - 1 + 0 - 2*x - 1. Let d be o(-3). Suppose -2*k**4 + 5*k**3 - k**5 + 0*k**d - 4 - 13*k + 5*k + 3*k**4 - k**2 = 0. What is k? -1, 2 Let c = 51 + -55. Let j be -3*c/(-72)*3/(-2). Factor 1/2*a - 1/4*a**2 - j*a**3 + 0. -a*(a - 1)*(a + 2)/4 Let y(j) be the first derivative of 0*j + 11*j**5 + 0*j**2 + 5*j**4 - 5/3*j**3 + 5*j**6 + 12. Solve y(x) = 0. -1, 0, 1/6 Factor -2/13*a**2 - 16/13*a + 0. -2*a*(a + 8)/13 Suppose 20*m - 10*m = 40. Let i be m - (2/(-5) + 261/90). Solve 0*o**2 + i*o**3 + 0*o + 3/2*o**5 + 0 + 3*o**4 = 0 for o. -1, 0 Let k be (-6)/(-5)*5 - 3. What is j in 1102 + 60*j**2 + 300*j - 602 + j**3 + 3*j**k = 0? -5 Let p(b) be the second derivative of 0*b**2 - 1/40*b**5 - 4/3*b**3 - b - 1/4*b**4 + 1/120*b**6 + 0. Let u(h) be the second derivative of p(h). Solve u(i) = 0. -1, 2 Let f(n) be the third derivative of -n**8/3360 + n**7/700 + n**6/300 - 2*n**5/75 + 4*n**3/15 - 703*n**2. Factor f(c). -(c - 2)**3*(c + 1)*(c + 2)/10 Solve 21/4*g**2 + 3/2*g - 33/4*g**3 + 27/4*g**5 - 21/4*g**4 + 0 = 0. -1, -2/9, 0, 1 Let r(f) be the first derivative of f**6/120 + f**5/10 + 3*f**4/8 + 6*f**3 - 33. Let c(n) be the third derivative of r(n). Factor c(g). 3*(g + 1)*(g + 3) Factor -25/3*h**3 - 9 - 33*h - 35*h**2. -(h + 3)*(5*h + 3)**2/3 Let a(d) = 4 + 21 - d - d + 7. Let p be a(16). Factor 0*c + 16/3*c**4 + p - 20/3*c**3 - 4/3*c**5 + 8/3*c**2. -4*c**2*(c - 2)*(c - 1)**2/3 What is b in 0 + 0*b + 0*b**2 - 4/5*b**3 - 2*b**4 = 0? -2/5, 0 Factor -99*m**3 - 11*m - 220*m**2 + 29*m**3 - 189*m + 0*m**4 - 5*m**4. -5*m*(m + 2)**2*(m + 10) Let z(u) be the third derivative of u**4/24 + u**3 + 3*u**2. Let n be z(-6). Factor n*a - a - 2*a + 6 - 3*a**2. -3*(a - 1)*(a + 2) Let q(k) = k**3 + k + 1. Let o = -19 - -34. Suppose 0 = 3*m + o, -5*v = -m - m + 5. Let d(c) = -c**3 - 8*c**2 + 7*c + 11. Let t(g) = v*q(g) + d(g). Factor t(y). -4*(y - 1)*(y + 1)*(y + 2) Let p(s) be the first derivative of -s**6/2 + 3*s**5/10 + 27*s**4/8 - 2*s**3 - 3*s**2 - 133. Find f, given that p(f) = 0. -2, -1/2, 0, 1, 2 Let t = -84 - -89. Let j(c) be the second derivative of 0 + c + 0*c**3 + 0*c**t + 0*c**2 + 1/40*c**6 - 1/16*c**4. Find n, given that j(n) = 0. -1, 0, 1 Suppose 392 = 2*r + 2*d, -9*r + 5*r + 782 = 3*d. Suppose 193*l - r*l = -5. Solve 0 - 2*z**2 - 10/7*z**4 + 2/7*z**l + 4/7*z + 18/7*z**3 = 0. 0, 1, 2 Let l(i) be the first derivative of -i**6/7 + 2*i**5/35 + 9*i**4/14 + 2*i**3/7 - 2*i**2/7 - 170. What is r in l(r) = 0? -1, 0, 1/3, 2 Let k(g) = -36*g**3 - 46*g**2 - 18*g - 20. Let i(b) = 2*b**3 + b**2 + b + 2. Let m(x) = 10*i(x) + k(x). Factor m(s). -4*s*(s + 2)*(4*s + 1) Find y, given that 4*y**2 - 286*y**3 - 8*y**2 + 36*y**2 + 288*y**3 + 4*y**2 + 34*y = 0. -17, -1, 0 Let -480/7*a**3 - 40/7 - 348/7*a - 124*a**2 - 64/7*a**4 = 0. Calculate a. -5, -2, -1/4 Let x be 32/14 + (-4)/14. Let b = -16605 + 149449/9. Factor 11/9*z + 1/3 - b*z**x. -(z - 3)*(4*z + 1)/9 Factor 2/5*v**2 + 0*v + 0 - 1/5*v**4 - 1/5*v**3. -v**2*(v - 1)*(v + 2)/5 Suppose r = -3*g - 2 - 23, 10 = r - 4*g. Let n be (2 - (-8 - r))*(-1)/1. Let 1/2*d**2 + 1/2*d + n = 0. Calculate d. -1, 0 Suppose -3*u + 7*u - 20 = 0. Solve 11*g**5 + 4*g**4 + 0*g**3 + 0*g**3 - 9*g**u = 0. -2, 0 Let y be ((-6812)/(-672) - 1) + 2/3. Let p = y + -75/8. Factor 0 - 3/7*s**4 + 3/7*s**3 + 3/7*s**2 - p*s. -3*s*(s - 1)**2*(s + 1)/7 Let a(f) be the second derivative of -f**4/60 - 8*f**3/5 - 288*f**2/5 - f + 19. Factor a(n). -(n + 24)**2/5 Let z be 8/2 - (5 + -3). Let a(h) be the first derivative of 3 + 8/7*h + 4/7*h**z + 2/21*h**3. What is y in a(y) = 0? -2 Suppose -5*y - 11 = 3*f - f, 18 = 3*f - 4*y. Suppose 5*h = 4*j + 6, 2*h - f*j = -h + 4. Factor 1 - 3/2*u**3 - 1/2*u**4 + 3/2*u - 1/2*u**h. -(u - 1)*(u + 1)**2*(u + 2)/2 Let d(p) be the third derivative of p**5/60 + p**4/2 + 11*p**3/6 - 318*p**2. Factor d(r). (r + 1)*(r + 11) Factor 5/8*c**2 + 0 - 1/8*c**3 + 0*c. -c**2*(c - 5)/8 Let l(p) be the third derivative of -13*p**2 - 5/4*p**5 + 15/8*p**4 + 11/24*p**6 - 1/14*p**7 - 5/3*p**3 + 0*p + 0. Factor l(y). -5*(y - 1)**3*(3*y - 2) Determine w so that 12*w**2 + 7/3*w**3 + 0 - w**4 + 20/3*w = 0. -2, -2/3, 0, 5 Let d(o) be the third derivative of -o**6/30 - 23*o**5/30 - 13*o**4/3 + 32*o**3/3 - 4*o**2 + 41*o. Find k such that d(k) = 0. -8, -4, 1/2 Let q(z) = 6*z**2 + 27*z - 33. Let c(j) = 7*j**2 + 28*j - 35. Let u(o) = 5*c(o) - 6*q(o). Factor u(b). -(b - 1)*(b + 23) Let o be (-1092)/6160 - (-2)/8. Let q(k) be the first derivative of 0*k - 5/22*k**4 - 6 + 5/33*k**6 - o*k**5 + 4/33*k**3 + 0*k**2. Suppose q(y) = 0. What is y? -1, 0, 2/5, 1 Let y(h) be the third derivative of -h**6/120 + h**5/30 - h**4/24 - 367*h**2. Factor y(f). -f*(f - 1)**2 Let v = -179 - -179. Let j be ((v - -11)/231)/((-1)/(-3)). Find q, given that -1/7*q - j*q**2 + 0 = 0. -1, 0 Suppose 43 = 5*c - o, -2*c + 21 = -o + 2. Solve 3*a**4 + 52*a + 47*a**2 + 12 - 16*a + 18*a**3 - c*a**2 = 0. -2, -1 Let k(m) be the first derivative of m**3/9 - 41*m**2/3 - 83*m/3 + 61. Solve k(h) = 0 for h. -1, 83 Let t(v) = -100*v**2 + 350*v + 340. Let k(r) = 11*r**2 - 39*r - 38. Let s(z) = -55*k(z) - 6*t(z). Suppose s(x) = 0. What is x? -1, 10 Let t(k) = -9*k**2 - 123*k + 237. Let n(q) = -8*q**2 - 120*q + 236. Let i(a) = -5*n(a) + 4*t(a). Suppose i(u) = 0. Calculate u. -29, 2 Suppose -6 = 241*i - 237*i + q, -2*q = -2*i + 12. Factor 3/2*b**2 + 3/2*b**4 + 0*b + i + 3*b**3. 3*b**2*(b + 1)**2/2 Find v such that -35*v**2 + 3*v**4 + 9*v**3 - 11*v + 5*v - 3*v - 6 + 38*v**2 = 0. -2, -1, 1 Suppose 0 = q + r - 4, -4*q - 2*r = -r - 10. Determine n, given that -2 + 0 + n**2 - q*n - 1 = 0. -1, 3 Let w(k) be the second derivative of k**4/36 - k**3/9 - k**2/2 - 9*k - 1. Find b, given that w(b) = 0. -1, 3 Find r such that 10*r**2 - 10*r**4 + 6*r**2 + 4*r**4 + 23*r**5 - 25*r**5 + 12*r**3 = 0. -4, -1, 0, 2 Let n(f) be the third derivative of 1/5*f**5 + 0*f**6 - 14*f**2 + 0*f**4 + 0 - 1/70*f**7 + 0*f**3 + 0*f. Factor n(m). -3*m**2*(m - 2)*(m + 2) Let u(t) be the first derivative of 8*t**3/3 + 7*t**2/2 - 10*t - 19. Let v(x) = -4*x**2 - 3*x + 5. Let p(n) = 2*u(n) + 5*v(n). Factor p(q). -(q - 1)*(4*q + 5) Let c(j) be the first derivative of j**8/168 + j**7/140 - 7*j**6/180 - j**5/20 + j**4/6 - 2*j**3 - 4. Let v(p) be the third derivative of c(p). Factor v(i). 2*(i - 1)*(i + 1)**2*(5*i - 2) Let 60 + 263 - 697*z - 412*z + 169*z + 11515*z**3 - 3570*z**2 + 1715*z**4 - 43 = 0. What is z? -7, -2/7, 2/7 Let v(z) = 4*z**4 - 40*z**3 - 16*z**2 - 8*z + 28. Let d(i) = -2*i**3 - i + 1. Let b(w) = -16*d(w) + v(w). Suppose b(m) = 0. What is m? -1, 1, 3 Let h be 2292/224 - 117/312. Factor -9/7*d**3 + h*d**2 - 132/7*d + 60/7. -3*(d - 5)*(d - 2)*(3*d - 2)/7 Let c(a) = 8*a**2 - 60*a - 369. Let j(r) = -2*r**2 + 16*r + 92. Let z(l) = -2*c(l) - 9*j(l). Suppose z(h) = 0. Calculate h. -3, 15 Solve 2*s + 1/5*s**2 + 5 = 0. -5 L
{ "pile_set_name": "DM Mathematics" }
ths of a litre in millilitres? 1200 How many micrometers are there in three tenths of a millimeter? 300 What is 53/4 of a kilogram in grams? 13250 How many grams are there in 0.3494799 milligrams? 0.0003494799 How many years are there in 67738.58 millennia? 67738580 How many years are there in 853439.5 decades? 8534395 How many nanometers are there in thirteen fifths of a micrometer? 2600 How many kilograms are there in 8/25 of a tonne? 320 How many minutes are there in twenty-one fifths of a day? 6048 What is 6.873648 decades in millennia? 0.06873648 What is 3/10 of a kilogram in grams? 300 How many kilometers are there in 139.6339mm? 0.0001396339 How many millimeters are there in one tenth of a meter? 100 What is 371265.5 hours in minutes? 22275930 What is 1/28 of a week in minutes? 360 What is 335781.6 months in millennia? 27.9818 What is 9.015708 months in decades? 0.0751309 How many micrometers are there in 3/40 of a centimeter? 750 What is 18/5 of a millennium in years? 3600 How many millimeters are there in 185304.7cm? 1853047 Convert 5076.453ms to seconds. 5.076453 How many litres are there in 5.515735ml? 0.005515735 How many millilitres are there in 9775.055l? 9775055 Convert 94983.07 decades to months. 11397968.4 How many millilitres are there in sixty-seven quarters of a litre? 16750 What is 25/8 of a hour in seconds? 11250 What is 11/4 of a microgram in nanograms? 2750 How many kilograms are there in 25/2 of a tonne? 12500 How many minutes are there in 3/40 of a day? 108 How many tonnes are there in 3152.845mg? 0.000003152845 What is 952.374 grams in kilograms? 0.952374 Convert 682.09056 minutes to days. 0.473674 How many months are there in one quarter of a decade? 30 How many months are there in seventy-one quarters of a decade? 2130 Convert 228.7059l to millilitres. 228705.9 What is 29/2 of a meter in millimeters? 14500 What is twenty-seven quarters of a millennium in decades? 675 How many milligrams are there in fifteen quarters of a gram? 3750 How many years are there in 6847.798 decades? 68477.98 How many seconds are there in 11/10 of a minute? 66 Convert 2.400791ng to micrograms. 0.002400791 How many decades are there in 75540.53 centuries? 755405.3 What is fifty-three quarters of a decade in months? 1590 What is 0.9560478 litres in millilitres? 956.0478 How many millilitres are there in 3/40 of a litre? 75 How many millilitres are there in eighty-seven quarters of a litre? 21750 What is four thirds of a decade in months? 160 What is 21.17854 litres in millilitres? 21178.54 What is fifty-five halves of a litre in millilitres? 27500 How many nanograms are there in 29/5 of a microgram? 5800 What is one quarter of a millennium in years? 250 How many milligrams are there in 873.6682 micrograms? 0.8736682 What is 37/5 of a century in years? 740 What is nine tenths of a minute in seconds? 54 How many decades are there in 76/5 of a millennium? 1520 Convert 28.705518s to hours. 0.007973755 Convert 0.5294966 litres to millilitres. 529.4966 What is 3/32 of a kilogram in milligrams? 93750 How many millennia are there in 373.7846 centuries? 37.37846 How many meters are there in 1/5 of a kilometer? 200 How many millimeters are there in 1/5 of a meter? 200 How many months are there in seven sixths of a year? 14 What is one quarter of a decade in months? 30 How many milligrams are there in seven quarters of a gram? 1750 How many months are there in 13/4 of a year? 39 What is 43/4 of a micrometer in nanometers? 10750 What is 8/25 of a millennium in months? 3840 How many decades are there in 0.3342686 centuries? 3.342686 Convert 6698.344 hours to seconds. 24114038.4 What is 4/7 of a week in hours? 96 What is 21/8 of a litre in millilitres? 2625 How many seconds are there in four thirds of a hour? 4800 How many microseconds are there in 11/4 of a millisecond? 2750 What is fifty-four fifths of a milligram in micrograms? 10800 How many microseconds are there in 58.5589 minutes? 3513534000 What is 23.98942 millilitres in litres? 0.02398942 What is four fifteenths of a century in months? 320 What is 27/2 of a centimeter in millimeters? 135 How many hours are there in 16/7 of a week? 384 How many micrometers are there in 3/8 of a millimeter? 375 What is 13/5 of a hour in minutes? 156 Convert 5202.218cm to nanometers. 52022180000 How many milligrams are there in 2442.255 kilograms? 2442255000 What is thirteen quarters of a milligram in micrograms? 3250 What is one fifth of a day in minutes? 288 How many grams are there in 12/25 of a kilogram? 480 Convert 425388.1 decades to months. 51046572 How many micrometers are there in twenty-one fifths of a millimeter? 4200 What is 186025.2s in microseconds? 186025200000 What is 3/40 of a litre in millilitres? 75 Convert 7602.476 years to millennia. 7.602476 How many meters are there in seventy-one quarters of a kilometer? 17750 How many litres are there in 7169.749ml? 7.169749 Convert 18.751 days to hours. 450.024 Convert 56.48988 minutes to milliseconds. 3389392.8 Convert 15466.99 years to months. 185603.88 What is 17/4 of a litre in millilitres? 4250 What is three fifths of a millennium in decades? 60 How many years are there in 0.033346 decades? 0.33346 How many meters are there in 48.0223cm? 0.480223 How many grams are there in twenty-seven halves of a kilogram? 13500 Convert 875944.6ml to litres. 875.9446 How many milligrams are there in 27/4 of a gram? 6750 How many millimeters are there in seventeen quarters of a meter? 4250 Convert 615130.2g to nanograms. 615130200000000 What is 19739.844 months in centuries? 16.44987 How many milligrams are there in 6213.746 nanograms? 0.006213746 How many years are there in 61/2 of a millennium? 30500 What is 3/5 of a microsecond in nanoseconds? 600 What is 12821.46km in meters? 12821460 What is 50.8022 weeks in minutes? 512086.176 What is one quarter of a minute in seconds? 15 What is 21.6057ml in litres? 0.0216057 What is three fifths of a kilogram in grams? 600 What is 13/5 of a millennium in centuries? 26 What is 21/4 of a meter in centimeters? 525 What is 34/5 of a centimeter in millimeters? 68 What is one tenth of a decade in months? 12 What is 602.252 kilometers in millimeters? 602252000 What is thirty-two fifths of a decade in months? 768 Convert 1841.831 kilograms to grams. 1841831 How many millilitres are there in 0.4968957 litres? 496.8957 What is 1/6 of a hour in minutes? 10 What is 7/4 of a tonne in kilograms? 1750 How many minutes are there in one fifth of a hour? 12 How many decades are there in 1/4 of a millennium? 25 How many millilitres are there in thirty-two fifths of a litre? 6400 How many milligrams are there in seven halves of a gram? 3500 How many millilitres are there in one quarter of a litre? 250 What is five quarters of a millennium in years? 1250 What is three tenths of a century in decades? 3 How many kilograms are there in 5363.886mg? 0.005363886 What is 0.5453505ug in kilograms? 0.0000000005453505 How many meters are there in 0.3368398 centimeters? 0.003368398 How many millilitres are there in 3/8 of a litre? 375 How many milliseconds are there in 38.48339 hours? 138540204 What is 8744.437 days in microseconds? 755519356800000 How many micrometers are there in 6/25 of a millimeter? 240 Convert 28196.61 grams to nanograms. 28196610000000 How many millilitres are there in fifty-seven fifths of a litre? 11400 How many minutes are there in one sixteenth of a day? 90 How many millimeters are there in fifty-four fifths of a meter? 10800 How many millennia are there in 61485.63 centuries? 6148.563 How many centuries are there in 624320.9 millennia? 6243209 How many microseconds are there in seven quarters of a millisecond? 1750 What is 38.80366 hours in microseconds? 139693176000 Convert 26.9718ns to milliseconds. 0.0000269718 What is 3/40 of a tonne in kilograms? 75 What is 809538.4nm in micrometers? 809.5384 What is five quarters of a millimeter in micrometers? 1250 Convert 0.424074l to millilitres. 424.074 How many microseconds are there in 59/5 of a millisecond? 11800 What is 2147.1465 months in decades? 17.8928875 What is 690606.9 litres in millilitres? 690606900 What is 1909.134kg in micrograms? 1909134000000 What is 645357.9g in
{ "pile_set_name": "DM Mathematics" }
e of 91 - -4 - (-2261 + 2333)? 23 Evaluate 90 + -80 + 31 - 16. 25 Evaluate (5 - (-62 - -34)) + -94. -61 Evaluate (0 - 87) + 0 - (11 + (-17 - (-46 + 30))). -97 -8 + (-19 - 1) + 12 + -4 -20 What is 54 + 1 - (14 - 4)? 45 What is -8 + -3 + (12 - 0) + (-3 - 7 - 0)? -9 5 + 5 - ((-19 - 0) + -7 + -3) 39 (71 - (-49 - -87)) + 0 33 What is (7 - -42) + 4 + (19 - 9) + -23? 40 Calculate -14 + 16 + -6 - ((2 - 18) + 22 + -30). 20 What is (10 - 6) + (41 + -53 - -53)? 45 What is -131 - (-28 + -4 - (39 - (18 - -35)))? -113 Evaluate 158 + -158 + (-3 - -81) + -25. 53 (16 - 9) + -30 + -81 + 15 -89 Calculate 6 + ((31 - 44) + 26 - (25 + -1)). -5 -9 - (8 + (-9 - (-7 + 0 - (0 + -35)))) 20 What is the value of 6 - (2 - 3) - (5 - -6 - (9 - 24))? -19 What is 1037 - 1034 - (-3 - 28)? 34 38 + -45 + (7 - -4) 4 -39 + (-33 - 32) + 38 -66 (-41 - (-22 + 10)) + -7 -36 Calculate 541 + -537 - (8 + 0) - (2 - 0). -6 Calculate 3 + 1 - (161 + -287 + 194). -64 Evaluate -226 - -215 - (6 + -5 + -39). 27 Calculate (-41045 - -41033) + (129 - (0 - -2)). 115 Evaluate -12 - (76 - (-13 - -99)). -2 -15 + (9 - (3 - -19 - 5)) -23 What is the value of -23 + (-3 - (9 - 9)) + -11? -37 What is the value of 0 - (44 - 24 - (-8 - (27 + 11)))? -66 What is the value of -17 + -28 + (6 + -11 - -18)? -32 What is 33 + (-19 - -15) + -42? -13 What is 21 + (4 - (2 + 2 - (3 + 22 + -17)))? 29 5 - 27 - ((13 - (14 - -13)) + -1) -7 What is -2 + 13 - (15 - (6 - 25 - -23))? 0 19 - (-33 - (2 - 68)) -14 What is -100 - (-12 + (1 - -17) + (41 - 52))? -95 Calculate (-2019 - -2044) + (1 - -1 - 83). -56 What is the value of (-1 + 3 - -9 - -2) + (15 - 24)? 4 Calculate -21 + -20 - (-207 + 166). 0 Calculate -23 - (2 - (-32 - 4)). -61 -81 + 79 + 143 + 16 + -5 + -9 + 8 151 What is the value of 3 + 19 + (27 + -7 - 18 - 47)? -23 Calculate 11 - (11 - (-45 + 88 - 38)). 5 -1 + (41 - 50 - (5 - (15 + -4 + 0))) -4 What is (-33 + 14 - 65) + (-13 - -6) + -8? -99 Calculate (-2 - -38) + (16 - 11) - (8 - (3 + 2)). 38 Calculate (-5 - -43) + (155 - 176). 17 Evaluate 26 + -8 + 10 + (353 - 339). 42 What is 65 + -30 + (2 + (2 - 2) - 10) + -1? 26 (30 - 12) + -11 + -28 + -39 + 52 -8 (1 - (7 + 12 + -24 + 20)) + -6 - -2 -18 Calculate (-28 + -96 - -136) + -66. -54 What is 37 + -79 + (-15 - -4 - 7)? -60 Evaluate -12 - ((-1 + -2 - (-1 + 9 + -13)) + 0). -14 -54 - (6 + 52 + -73) -39 Evaluate -97 - -112 - (18 + 19). -22 What is the value of (24 - -38) + -14 + 8 + 15? 71 Evaluate 30 + (7 - 14) - 11 - (6 + -55 - -4). 57 What is the value of -66 - (-2 + 31 + -38 + (4 + 1 - -3))? -65 Evaluate (12 - (20 + -47)) + -31 + (65 - 2). 71 -46 - (34 - (101 - 105)) -84 Calculate -71 + -10 + 18 + -31 - (5 - 16). -83 Calculate -91 - -162 - (-5 - 2) - -12. 90 What is -96 + (50 + 22 - -67)? 43 What is -3 + -18 + 49 - -39? 67 Calculate (35 - 23) + -77 + -18 - (-2 - (2 + -14)). -93 What is the value of 0 + -3 + (-69 - (-23 - 2))? -47 143 + -40 + -20 + -6 + 9 86 (2 - 153) + (-10341 - -10489) -3 Evaluate -48 + (7 - (-17 - -51)) + 20. -55 30 + -3 + (6 - -11) 44 What is -1 - (1 + -3 + -1 + 53 + -64)? 13 Evaluate -69 + 43 - (37 + 4 + -2). -65 Evaluate 6 + 17 + -4 + (142 - 150). 11 Calculate -52 + (-38 - -74) + (-4 - 7). -27 -63 + 1 - (-6470 + 6329) 79 What is the value of (1 - -38) + -1905 + 1898? 32 Evaluate -122 + 51 + -26 + 117. 20 Evaluate (-11660 - -11728) + (-2 - -19). 85 What is 3 - (-36 + 10 - -33 - 20)? 16 What is (648 - 664) + (0 - (-12 - 1)) + 55? 52 Evaluate (15 - (53 + 11 - 10)) + (-26 - -46). -19 What is -570 + 560 - (-8 + 4)? -6 -75 + (-9 + 9 + 11 + -9 - -12) -61 Calculate -61 + 62 + -58 + 51. -6 What is (24 - -61) + 34 + -72? 47 Evaluate -5 - (13 + (-22 - -5) + (4 - 10)). 5 Evaluate 2 - (21 + -8 + (9 + -5 - 2)). -13 Calculate 14 - (2 + (-33 - -10)). 35 Evaluate -5 + (0 - -1) + 6 + -164 + 80. -82 11 + (-71 - -21) - (6 - 1) -44 Evaluate -13 - (-2 - 1) - 2. -12 Evaluate (7 + -4 + 4 + -17 - 11) + 1. -20 (-1104 - -1132) + 0 + -64 -36 What is -7 + 9 + 0 - -3 - (-19 + 17)? 7 11764 - 11711 - (37 + -1) 17 What is (1 - (1 - -2)) + (-766 - -763) + (-55 - -3)? -57 -14 - 1 - (242 + (102 - 324)) -35 Calculate 15 + (-1 + 15 - (-28 - (-26 + -7))). 24 Calculate -2 + ((-3 - 1) + 5 - 15 - -3). -13 What is the value of -208 - -259 - (1 - 4)? 54 What is 88 + -32 - 20 - (2 + -24)? 58 Calculate 62 - (77 + -5 + -84). 74 What is the value of 8 - ((16 - (0 - -53)) + -18)? 63 Evaluate (3 - 11 - -9 - 8 - -33) + 12. 38 What is -165 + -30 - -186 - (0 + -30 - -1)? 20 (1 - (15 - (-2 - -3))) + (-38 - -23 - 97) -125 What is the value of 123 + (27 - (97 - (75 + -38)))? 90 Calculate (484 - 472) + (3 - 14 - 2) + 60. 59 Calculate 1 + -9 + (24 - 11) - -4 - 57. -48 Calculate -4 + 14 - (27 - ((14 - 10 - 3) + -6)). -22 What is (-1 - 3) + -51 - (60 + -55 + 6)? -66 -3 + 10 + -29 - (-2 - -8) -28 What is -13 - (-27 + -27) - 20? 21 What is the value of -95 + (69 - 24) + 0 + 12? -38 Evaluate (5 - 6) + 4 + 18 + -20 + 3. 4 Calculate -8 - (9 - (2 + -10)). -25 What is the value of 9 + (0 - (-7 - (8 - 3))) + -18? 3 Calculate 53 - (21 + -32 + 24 + -14). 54 Calculate (-9 - (1 - 7)) + (5 - (-7 - (-20 + 6))). -5 Evaluate -76 + -26 + (5 - 6) + 23 + (-6 - -1). -85 What is 272 + -279 + 2 + 21? 16 Evaluate -7 - (3 - 25) - (10 - 2). 7 Evaluate -1322 + 1361 + (-83 - 1). -45 Calculate 105 - (-1 + -25 - (2203 + -2248)). 86 Evaluate (-4 + -4 - (137 - 54)) + 18. -73 (6 - 11) + (0 - 30) + -2 + (-81 - -77) -41 What is the value of (-1 - 26 - 2) + (-14 + -9 - -1 - -11)? -40 (-13 - -15) + 0 - (9 - (-3 - -8)) - -80 78 What is the value of -110 - ((58 - 21) + -45 - 1)? -101 Calculate -1 + -98 + (25 - (10 + (-3 + 5 - -2))). -88 (-10 - -8) + -3 + -5 + (21 - 61) -50 Evaluate 153 + (114 - (37 - -135)). 95 Evaluate 22 + -3 + 67 + -30 + -22. 34 Evaluate 93 + -132 + 27 - (-20 + -5 + 2). 11 What is -77 + (12 - 7 - 6) + 19 - -18? -41 Evaluate -2 + 75 + -54 + -35. -16 What is -151 + 146 + (-29 - (5 - 14))? -25 22 - (33 + -61 + 87) -37 15 + 4 + (-16 - -7) + (23 - 3) 30 Calculate (-6 - (-14 + -3) - 62) + 3 + (-13 - -4). -57 What is 97 + (4 + -20 + -13 + 5 + 16 - -11)? 100 What is the value of 1 + -12 - (249 - 213)? -47 14 + (-3 - -2 - -8) + -8 - 14 -1 What is 7 + (-4 - (-32 - (-9 - -2)))? 28 What is 26807 + -26840 - (0 + (0 - 0) + 17)? -50 Evaluate -46 + 61 + -88 + 126. 53 What is 147 - 150 - ((-1 - 116) + 8 + 0)? 106 What is the value of 76 + -80 - (19 + (-4 - (-1 - 3) - -2))? -25 206 - (74 - (-141 + 94)) 85 Calculate -1 + (14 - (3 - -13)) - (-1 + -1 + 20). -21 -2 + 2 + 16 + 1 + -21303 + 21298 12 What is 7 + (-4 - -2 - 2) - ((16 - -19) + -11)? -21 (2 - (30 - (-6 + 4 - 8))) + -6 -44 What is the value of (-4 - 1 - (25 + -12)) + -9 + -3? -30 What is the value of -30 + -1 - (284 - (129 - -127))? -59 What is 2 - (-15 - (8 - 18) - (-8 - 5 - -14))? 8 Evaluate (-1 - (18 + (-1 - (14 + -6)))) + (42 - 49). -17 Evaluate -29 - -1 - (145 + -96 + -58). -19 What is the value of 19 - (16 + (16 - 23)) - -35? 45 Evaluate (45 - 33 - (9 - 1)) + (-27 - -20) - 32. -35 Calculate -18 - (-6 + 1 + (-15 - (7 + -19))). -10 -7 - (1 + 4 - (-5 + -2 + 9)) -10 (0 - (31 + 0)) + (-118731 - -118828) 66 Evaluate (-22 - (7 + -3) - (-69 + 79)) + -1 + 5. -32 Evaluate -41 + (33 + -11 + 24 - -33). 38 What is (-1 - 84) + -1 + (76 - 80 - (-1 + 0))? -89 104 - 11 - -25 - 2 116 What is the value of -10 + 0 + (-35 + 15 - (3 - 26))? -7 1 + -17 + (6 - 6) - -14 - (-29 - -1) 26 What is 43 - (18 - (5 - (10 - (1 + 1 + 11))))? 33 40 + -112 + 88 - (-12 - 6 - -1) 33 What is -65 - (-58 + 28) - 19? -54 -74 + (8202 - 8181 - ((1 - 1) + 13)) -66 Evaluate 7 + 8 + -10 - ((3 - -17) + 31). -46 19 - (-2 - (-13 - (1 - (-41 - 17)))) -51 (-19 - -28 - (-2 - -13)) + 27 + 0 + 1 26 -4 - ((10 - (-9 + 32)) + 65) -56 What is (-40 - 11) + (4 - (-11 + -2 + 13))? -47 What is 41 - (-42 + 64 + -38)? 57 Calculate (-29 - 48) + 21 + -8 + 14. -50 Calculate -69 + 5 - (-4 + -33). -27 Calculate (25 + -13 + 0 - 156 - (-2 - 10)) + 2. -130 Evaluate 26 + -12 + -15 + 15 - 31. -17 (210 - 128) + -101 + 23 4 What is the value of -62 + 13 + (-45 - -30)? -64 What is -10 - ((6 - (-3 + -22 + 32)) + 9 + 1)? -19 Evaluate -75 + 37 + 35 - (-3 + 1 + -97). 96 (10 - -1) + 120 + (11 - (1 - 14)) + -31 124 What is the value of (8 + -16 - -3) + (1 - 1 - (82 + -50))? -37 Calculate -60 - -14 - -35 - ((-1 - -1) + 1 + -20). 8 What is 66 + (-28 - -55) - 68? 25
{ "pile_set_name": "DM Mathematics" }
s 2792 times -25? -69800 What is 32.0348 times -0.4? -12.81392 What is -0.08758 times -35? 3.0653 -4*144.712 -578.848 -0.3 times -487.219 146.1657 -1.201*136 -163.336 What is the product of -0.066904 and 2? -0.133808 Multiply -3 and -12845.8. 38537.4 Multiply -1 and -2.8975. 2.8975 What is the product of 2 and -321865? -643730 Work out 141 * 0.0587. 8.2767 0.35*1982 693.7 What is -1 times 28120.9? -28120.9 -0.065 times -48792 3171.48 7*-26382 -184674 -1132 * -1.72 1947.04 -0.91717 * -0.8 0.733736 -26 times 3840 -99840 Work out 0.42 * -28. -11.76 Work out -33 * 1201. -39633 What is 879 times 0.31? 272.49 Multiply 0.001 and -2.25. -0.00225 Multiply 63 and 0.321. 20.223 What is the product of 0 and -10527? 0 2027 times -1.76 -3567.52 What is 0.24421 times -1? -0.24421 0.2 times -39.81 -7.962 What is the product of -3.2 and 886? -2835.2 Product of 5 and -917.14. -4585.7 -1.3 times 2315 -3009.5 What is -67853 times -0.29? 19677.37 11864*122 1447408 Work out 202 * 0.028. 5.656 What is 228750 times 3? 686250 1 * 1.26009 1.26009 -1.4 times 10493 -14690.2 Multiply 2 and -54511. -109022 Multiply 0.0004 and 499. 0.1996 Calculate 34.0653*-0.3. -10.21959 -477.25 * 1 -477.25 What is -0.0485 times -167? 8.0995 Product of 0.16 and -22147. -3543.52 Calculate 0.022195*3. 0.066585 What is the product of -0.4 and 121433? -48573.2 -0.4 * 0.0451516 -0.01806064 What is 6.72 times -3.9? -26.208 40*34084 1363360 Product of 33424 and 0.05. 1671.2 -0.76602*-3.6 2.757672 22920 times -0.1 -2292 -64052 times -0.4 25620.8 Work out -2 * -15.5715. 31.143 Calculate -0.33*0.151. -0.04983 Calculate -56.492*-0.1. 5.6492 Work out -10.7 * 7.1. -75.97 Product of -1.058159 and 1. -1.058159 -82.36 * -4.1 337.676 Calculate 1*0.7143. 0.7143 Multiply 0.5 and -7.15. -3.575 What is 5710.3 times 0.06? 342.618 What is 0 times 31832? 0 -0.48*9575 -4596 -24912 times 0.4 -9964.8 Calculate -5*629615. -3148075 Product of -4 and 1668.08. -6672.32 What is the product of 9228 and -0.142? -1310.376 Product of 0.2 and 117359. 23471.8 Work out 1.3 * -1799.6. -2339.48 Multiply -1699.3 and 0. 0 Multiply -7559 and -0.3. 2267.7 What is -21.3905 times 0.5? -10.69525 Work out -1 * 72055. -72055 What is the product of 0.01 and -641911? -6419.11 3*193958 581874 0.12 * 6.44 0.7728 Calculate -61.4*-2480. 152272 1.47 times -0.102 -0.14994 2.8959 * 59 170.8581 54258 times -0.01 -542.58 Work out 0.309 * 890. 275.01 -0.0169 times -0.92 0.015548 13.7*-3390 -46443 What is 1312 times 3.6? 4723.2 Calculate -5.41*-703. 3803.23 Calculate 4*-1606.51. -6426.04 -54.8 * 12.3 -674.04 What is 946 times -0.0687? -64.9902 What is -0.057 times 9572? -545.604 -559988 times -0.5 279994 0*-361001 0 Product of 5 and -17100. -85500 What is -423 times -18? 7614 Work out -9.6 * 10567. -101443.2 Product of 0.8 and -0.2797. -0.22376 What is -0.0405 times 0.93? -0.037665 -0.7 * 7806 -5464.2 241*7912 1906792 Calculate -56742*1.5. -85113 What is -180 times 2206? -397080 54.25 * 0.5 27.125 -0.17 times -4792 814.64 What is the product of -4854.3 and -0.1? 485.43 -862*7.3 -6292.6 -5*-157930 789650 What is 6 times -2547.93? -15287.58 Product of 19 and 37986. 721734 4998416 times -0.3 -1499524.8 Work out 6620 * 0. 0 Multiply 0.2 and 1089071. 217814.2 Calculate 0.0218*0.49. 0.010682 Calculate -41.83*7. -292.81 -6*0.07438 -0.44628 Work out 33252 * -20. -665040 1897721 * 0 0 Work out -0.03 * 0.9187. -0.027561 -1.92 * 536 -1029.12 What is 2446 times 97? 237262 Product of 1562.15 and 2. 3124.3 Multiply -7 and -20.2438. 141.7066 Work out -0.1 * 14951. -1495.1 What is the product of 0.054545 and 0.4? 0.021818 What is 25.51 times -0.06? -1.5306 2954.4 * -5 -14772 1325*-111 -147075 Product of -0.080858 and -0.3. 0.0242574 1550118 * 4 6200472 -0.5 * 898241 -449120.5 What is the product of 17607 and 2? 35214 -0.4*-138.7 55.48 -742 times -5 3710 What is -19257 times 0? 0 Work out 0.3 * 13267. 3980.1 Product of -8 and 5070. -40560 301.273*0.1 30.1273 Multiply -0.5 and 18869. -9434.5 Calculate 0.088482*-2. -0.176964 Calculate 421*187.9. 79105.9 -84436*-0.5 42218 Calculate -30298*-0.12. 3635.76 What is -1.63 times 1.31? -2.1353 0.24774*-12 -2.97288 5376 * -6 -32256 Calculate 85*3.54. 300.9 2634919 times -4 -10539676 Work out -812.3 * 1. -812.3 What is 22 times -14167? -311674 Product of -25 and -20558. 513950 Multiply 0.5 and 182946. 91473 0.3 times 138030 41409 -6 times -68117 408702 What is -293 times 390.7? -114475.1 Multiply 714 and 0.463. 330.582 0.12 * -5615 -673.8 Product of 5089.69 and 0.4. 2035.876 Multiply 3 and 2678. 8034 Multiply -313 and -0.5833. 182.5729 What is the product of 1 and -228418? -228418 Calculate 0*-21.495. 0 -3175 times -0.5 1587.5 Multiply -0.5 and 4.108. -2.054 Work out 663 * 451. 299013 4 times -36463 -145852 -8038414 * 5 -40192070 Calculate -6223*0.2. -1244.6 -4 * -3.895 15.58 Calculate 3.9987*4. 15.9948 Multiply 692891 and 1. 692891 Product of 0.3 and 250.79. 75.237 Product of -2.9 and -6043. 17524.7 Product of 1.6 and -1660. -2656 What is the product of 55 and -3183? -175065 Calculate -1.6*0.035713. -0.0571408 5*30501 152505 What is -0.25 times -32.385? 8.09625 Work out -38674 * 0.6. -23204.4 What is 11 times 4.29562? 47.25182 Calculate -26*-133.26. 3464.76 Product of 1 and 9208. 9208 423.501 times -0.1 -42.3501 -0.01408 times 4.5 -0.06336 8*0.49677 3.97416 Work out -961 * -0.325. 312.325 3 * 0.09224 0.27672 Product of -350 and -0.43. 150.5 What is -4 times 79898? -319592 Calculate 299*-28. -8372 Product of 3 and -310.25. -930.75 Multiply 2 and -1943.76. -3887.52 -22.2 * 0.099 -2.1978 -453.16 * -0.2 90.632 What is -0.0325 times 0.316? -0.01027 0.1*-0.359958 -0.0359958 -29*-8747 253663 Multiply -123.2 and -0.419. 51.6208 Multiply 1 and 4.1. 4.1 Multiply -26 and 2370. -61620 What is the product of 1.1 and -1.3588? -1.49468 Multiply 5.1 and -60.38. -307.938 What is the product of -827.4 and 2? -1654.8 -14 times 0.013357 -0.186998 -0.4 * 0.03231 -0.012924 Multiply 158958 and -0.05. -7947.9 Product of -4817 and 0.102. -491.334 Work out -1719.748 * -0.2. 343.9496 What is the product of -5.03 and -1676? 8430.28 Calculate -1.055232*4. -4.220928 57.92 times 5 289.6 0.02*-0.0383 -0.000766 Multiply -0.09 and -1029. 92.61 -870 times 1.22 -1061.4 Calculate -0.13*406. -52.78 195647 * -0.3 -58694.1 What is the product of 1 and -7120? -7120 Work out 0.087 * -10416. -906.192 -512 * -0.5 256 Calculate 1*88687. 88687 -14.5*-0.232 3.364 -428 * -57 24396 What is the product of 0.0045 and -1.15? -0.005175 What is the product of -6 and -0.126763? 0.760578 Calculate -4*-0.92. 3.68 Multiply 0.13 and -59454. -7729.02 -965*0.789 -761.385 Work out 3.3 * -4.2784. -14.11872 Calculate 34010*0.4. 13604 Work out 3 * 12.4774. 37.4322 Calculate -61.99*-10. 619.9 Calculate -16.5*1.2. -19.8 0.026*-0.03893 -0.00101218 Product of 55 and 218.6. 12023 0.243 * -0.062 -0.015066 29702*-2.1 -62374.2 What is -651 times 21? -13671 Multiply 1.673 and -0.36. -0.60228 Multiply -111751 and 3. -335253 0.31*169 52.39 43.7 * 0.3617 15.80629 What is -0.34 times -3996? 1358.64 Product of 4 and 0.40612. 1.62448 40*-0.044269 -1.77076 Multiply -0.2 and 1292. -258.4 -3754.7 times -22 82603.4 Multiply 9.728484 and -0.4. -3.8913936 -3.002*0.13 -0.39026 Calculate -19.9182*4. -79.6728 Work out 3431580 * -0.3. -1029474 -881 * 751.8 -662335.8 Product of -0.23 and 5964. -1371.72 6.581 times 33 217.173 -283 times -140 39620 -27.32 * -0.022 0.60104 What is 18 times -6.32? -113.76 What is the product of -24 and 12096? -290304 What is the product of -2 and -8.2899? 16.5798 Work out -69 * 0.11418. -7.87842 What is the product of 0.3 and -2.31929? -0.695787 What is 8942 times -0.37? -3308.54 Multiply -52370 and 1.5. -78555 Work out -112 * 440. -49280 Calculate 40805.3*3. 122415.9 What is 4 times 77893? 311572 Multiply -122.5 and -14. 1715 What is the product of 1 and -1193991? -1193991 Multiply -12.90502 and 0.2. -2.581004 What is the product of 0.5 and 16.64? 8.32 5.51 times 4.9 26.999 0.251019 * -3 -0.753057 What is the product of -167.856 and 0.3? -50.3568 Product of 5 and 18.785. 93.925 What is 0.1 times -0.502638? -0.0502638 Calculate 39754*2. 79508 Multiply 10 and -252.98. -2529.8 Product of 2.48 and 0.1926. 0.477648 Product of -0.428 and -0.07189. 0.03076892 What is the product of 0.444 a
{ "pile_set_name": "DM Mathematics" }
the nearest one hundred thousand? 100000 What is -0.00229 rounded to three dps? -0.002 What is -380.71 rounded to the nearest ten? -380 What is -0.00000703 rounded to 7 decimal places? -0.000007 Round 0.00008477 to 6 decimal places. 0.000085 What is 161.3 rounded to the nearest 10? 160 Round -8750000 to the nearest one hundred thousand. -8800000 Round -0.004348 to four decimal places. -0.0043 Round -3195650 to the nearest one hundred thousand. -3200000 What is -1375000 rounded to the nearest 100000? -1400000 What is 145.94 rounded to 0 dps? 146 What is -4.5006 rounded to two decimal places? -4.5 What is -0.0006792 rounded to six decimal places? -0.000679 What is -0.000001385 rounded to six decimal places? -0.000001 What is -21.2 rounded to zero dps? -21 What is 311640 rounded to the nearest one hundred thousand? 300000 Round 76293000 to the nearest one million. 76000000 Round 5.4 to the nearest ten. 10 What is 0.1124 rounded to two dps? 0.11 What is -0.8617 rounded to two decimal places? -0.86 What is 113.05 rounded to the nearest ten? 110 Round 0.03246 to two decimal places. 0.03 What is -0.00003646 rounded to six decimal places? -0.000036 What is 438000 rounded to the nearest 100000? 400000 Round 0.019973 to 3 dps. 0.02 What is 0.20442 rounded to 2 dps? 0.2 What is -0.0000892 rounded to four decimal places? -0.0001 Round 0.317 to 2 dps. 0.32 What is 0.000001107 rounded to seven dps? 0.0000011 What is 0.000053037 rounded to six dps? 0.000053 Round 249200 to the nearest ten thousand. 250000 What is -1750000 rounded to the nearest one hundred thousand? -1800000 What is 15614700 rounded to the nearest one hundred thousand? 15600000 Round -0.000877 to 4 decimal places. -0.0009 What is -0.000084 rounded to 4 dps? -0.0001 What is -0.00033232 rounded to five decimal places? -0.00033 Round -11274 to the nearest 100. -11300 Round 0.0000189845 to seven dps. 0.000019 What is -190000 rounded to the nearest 100000? -200000 Round 29251 to the nearest ten thousand. 30000 What is -1030 rounded to the nearest 100000? 0 Round -11.19 to 0 decimal places. -11 Round 0.000082217 to six decimal places. 0.000082 Round -0.032505 to 4 decimal places. -0.0325 Round 0.10152 to 2 dps. 0.1 Round 0.0000002384 to 7 decimal places. 0.0000002 What is -226000 rounded to the nearest 10000? -230000 Round 0.28219 to 3 decimal places. 0.282 Round 2.188 to one decimal place. 2.2 Round -0.00006989 to four decimal places. -0.0001 What is -0.0027782 rounded to four dps? -0.0028 What is 0.0002395 rounded to five decimal places? 0.00024 Round 3174.86 to the nearest 100. 3200 What is -0.3855 rounded to two dps? -0.39 What is 0.00000079142 rounded to seven decimal places? 0.0000008 Round -2815 to the nearest one thousand. -3000 What is 3.6472 rounded to 2 decimal places? 3.65 Round 6410000 to the nearest 1000000. 6000000 Round -0.000024193 to 6 decimal places. -0.000024 What is 0.009034 rounded to 3 dps? 0.009 What is 0.000455 rounded to 3 decimal places? 0 Round 0.00000012938 to 7 dps. 0.0000001 Round 0.000248212 to six decimal places. 0.000248 Round 52.432 to one decimal place. 52.4 Round 3740000 to the nearest one million. 4000000 What is 662.72 rounded to the nearest 100? 700 Round 0.001838 to 4 dps. 0.0018 What is -1.982 rounded to 1 decimal place? -2 Round -0.000010491 to seven dps. -0.0000105 What is 688400 rounded to the nearest 10000? 690000 What is 0.0507 rounded to two dps? 0.05 What is 0.3409 rounded to 1 dp? 0.3 Round -54812000 to the nearest one million. -55000000 Round -0.0001496 to five decimal places. -0.00015 Round -48.11 to the nearest integer. -48 Round -1.6914 to 2 dps. -1.69 Round 0.00002023 to six decimal places. 0.00002 Round -4018 to the nearest 100. -4000 Round -0.00043915 to 5 decimal places. -0.00044 What is -85.979 rounded to 1 dp? -86 Round -0.0005648 to 5 decimal places. -0.00056 Round -98955 to the nearest 100000. -100000 What is 0.5106 rounded to 1 dp? 0.5 What is -2188.7 rounded to the nearest 10? -2190 What is 171100 rounded to the nearest one thousand? 171000 What is -0.0005417 rounded to 5 dps? -0.00054 What is 12513 rounded to the nearest one thousand? 13000 Round 190730000 to the nearest one million. 191000000 What is 0.00000845 rounded to five decimal places? 0.00001 What is -0.22347 rounded to one decimal place? -0.2 What is -30596 rounded to the nearest one hundred? -30600 Round -3285 to the nearest one thousand. -3000 Round 6.0166 to 2 decimal places. 6.02 Round -0.0208 to 4 decimal places. -0.0208 Round 0.00010225 to six dps. 0.000102 What is 0.02001 rounded to three dps? 0.02 What is -1.3129 rounded to one dp? -1.3 Round 0.004392 to 4 decimal places. 0.0044 Round 1181 to the nearest one hundred. 1200 What is 0.01654 rounded to 2 dps? 0.02 What is -0.00000122084 rounded to 7 dps? -0.0000012 Round -0.00069561 to 5 decimal places. -0.0007 What is -134.1 rounded to zero dps? -134 Round 0.000001903 to 7 decimal places. 0.0000019 Round 0.1654 to two decimal places. 0.17 Round 1499800 to the nearest ten thousand. 1500000 Round 11960000 to the nearest 1000000. 12000000 Round -0.000000146 to 7 decimal places. -0.0000001 What is 76830000 rounded to the nearest 1000000? 77000000 What is -202659 rounded to the nearest ten thousand? -200000 Round -21998000 to the nearest 100000. -22000000 What is -448.09 rounded to the nearest integer? -448 What is -535.5 rounded to the nearest one hundred? -500 Round -0.48415 to 3 dps. -0.484 Round -628858 to the nearest one hundred thousand. -600000 Round 0.0000109 to 5 decimal places. 0.00001 What is 0.000109945 rounded to five decimal places? 0.00011 Round 0.00143336 to 4 dps. 0.0014 Round 0.04135 to 3 dps. 0.041 Round -0.301 to two dps. -0.3 Round -0.000024308 to 7 decimal places. -0.0000243 Round 0.20293 to three decimal places. 0.203 What is 0.06284 rounded to two dps? 0.06 What is -257.175 rounded to zero dps? -257 Round -0.000000119187 to 7 decimal places. -0.0000001 What is 0.000007889 rounded to six decimal places? 0.000008 What is -0.0003168 rounded to four decimal places? -0.0003 What is 0.8329 rounded to 2 dps? 0.83 What is -0.4433 rounded to two decimal places? -0.44 Round -0.000004408 to six decimal places. -0.000004 Round -0.0025093 to four dps. -0.0025 Round -115500 to the nearest ten thousand. -120000 What is 0.00003457 rounded to five dps? 0.00003 What is 2950000 rounded to the nearest 100000? 3000000 What is -311600 rounded to the nearest one hundred thousand? -300000 What is -0.0003585 rounded to 5 decimal places? -0.00036 Round -169360 to the nearest 1000. -169000 Round -2931 to the nearest 100. -2900 Round 3.83 to one dp. 3.8 Round 4.96447 to 1 dp. 5 What is 250.9 rounded to the nearest 100? 300 What is 28996.4 rounded to the nearest ten thousand? 30000 Round -611300 to the nearest 10000. -610000 What is 0.799 rounded to 1 dp? 0.8 What is -45.293 rounded to zero decimal places? -45 What is -0.00000559 rounded to six decimal places? -0.000006 Round -34497000 to the nearest 1000000. -34000000 What is -0.0861 rounded to three dps? -0.086 What is -922 rounded to the nearest 1000? -1000 Round -0.025 to one decimal place. 0 Round -292000 to the nearest one hundred thousand. -300000 What is 0.000080251 rounded to six dps? 0.00008 What is 0.00056742 rounded to 6 decimal places? 0.000567 What is 0.29929 rounded to two decimal places? 0.3 What is 0.00017142 rounded to 5 dps? 0.00017 What is -0.00000020704 rounded to 7 decimal places? -0.0000002 Round -0.00000172963 to 7 decimal places. -0.0000017 Round -0.0000009187 to seven decimal places. -0.0000009 What is -50600 rounded to the nearest 10000? -50000 What is -6370800 rounded to the nearest ten thousand? -6370000 Round 9911700 to the nearest 100000. 9900000 Round 17900000 to the nearest 1000000. 18000000 Round -8897000 to the nearest one million. -9000000 What is 140900 rounded to the nearest 10000? 140000 What is -0.000005214 rounded to seven dps? -0.0000052 What is 0.000000028 rounded to seven decimal places? 0 What is 5410000 rounded to the nearest one hundred thousand? 5400000 What is 0.0000116695 rounded to 6 dps? 0.000012 Round 0.00002029 to 6 decimal places. 0.00002 What is 7.9608 rounded to zero dps? 8 What is -0.000049999 rounded to 7 dps? -0.0
{ "pile_set_name": "DM Mathematics" }
x(7). Let k(o) = 14*o - 1. Let d be k(1). Is (d/(-2))/((-6)/g) composite? True Suppose 1835 = v - 2*r, -2*r + 1149 + 702 = v. Is v a composite number? True Let n(k) = -k**3 - 13*k**2 - 2*k - 19. Let w be n(-13). Let a = w - 3. Suppose -a*p + 337 = -3*q, -3*q = 3*p + q - 259. Is p composite? True Suppose 0 = -4*h - 4, -4*h = -6*m + 2*m + 15616. Is m composite? True Is -1 + -1 + (46*1846)/4 prime? True Let x be 44/(-8) + 9/6. Is ((-2)/(-5))/(x/(-11710)) a composite number? False Suppose -2 = -3*t + 25. Let z = 8 + t. Suppose -2*p + 21 + z = 0. Is p a prime number? True Suppose -51*a = -23*a - 283724. Is a a prime number? True Suppose 13*n - 305851 = -53066. Is n prime? False Suppose 24 = -h - 3*k, 5*h + 2*k + k + 60 = 0. Let x be 1 + 7/((-21)/h). Suppose -x*g + 4*y + 3404 = 0, -5*g = 2*y - 4*y - 4261. Is g composite? False Let f(g) = -150*g - 5. Let z be f(-6). Suppose 0 = -2*m + 1895 + z. Is m - (0 + 1 - -1) a prime number? False Let t = 89287 - 50580. Is t a composite number? False Suppose 3*s = 60*z - 61*z + 26167, 5*z + 5*s = 130815. Is z prime? True Let b(x) be the second derivative of 5/3*x**3 - 3*x + 0 + 9/2*x**2 - 1/20*x**5 - 5/12*x**4. Is b(-7) prime? True Let v(w) = 59*w**3 - 5*w**2 + 21*w - 38. Is v(7) prime? True Let g(x) = x**2 - 2*x - 1. Let t be g(3). Let q be 14*t/(-2 + 1). Let m = 50 + q. Is m a composite number? True Suppose -4*g + 149977 = -3*y + 2*y, -3*g + 4*y = -112499. Is g composite? False Suppose -460 = 2*n + i, -5*i = 5*n - 10*i + 1180. Let q = 497 + n. Is q a composite number? True Suppose -4*d + 5*a = 1138, 5*d + 6*a + 1443 = 2*a. Let m = d + 419. Suppose -4*z + m = x, 2*x - 22 = -z - x. Is z composite? True Suppose 4*c - 1167 = 277. Is c a composite number? True Suppose -6*w + 2207 + 28027 = 0. Is w a prime number? True Let r be 5/(-1*(1 + -2)). Suppose 3*j = 5*v + 43, j = 3*j + r*v + 13. Suppose 5*d = j*d - 235. Is d composite? True Let n(i) be the first derivative of 9*i**4/2 + i**3 + 2*i + 4. Is n(3) composite? True Suppose 4*j = -5*j + 9. Is (2746 - 5/1)*1/j a composite number? False Suppose 2*h - 13 = -5. Suppose h*w = -4*g - 4, -2*w + g = 6*g + 8. Is 19 - (-2 + w - -1) a composite number? False Suppose 0 = -3*f + 4*f + 10. Let t(o) = -7*o**2 - 29*o + 17. Let b(w) = -3*w**2 - 14*w + 9. Let n(z) = 5*b(z) - 2*t(z). Is n(f) composite? False Let b = -464 + 658. Suppose -2*w + b + 600 = 0. Is w prime? True Let t = -490 + 740. Let s(z) = z**3 + 4*z**2 - 8*z - 7. Let p be s(-6). Let n = p + t. Is n a prime number? False Suppose 56*h - 4550190 + 1099862 = 0. Is h prime? True Suppose 9*u - 12236 - 60403 = 0. Is u a composite number? True Let s = 0 + 0. Suppose -5*c + 4 + 16 = s. Suppose -l = 5*j - 630, -c*l = 4*j + l - 483. Is j a prime number? True Suppose 7*o = 9*o - 12*o. Suppose 5*s + 3*r = 8416, o*r = -2*s + 4*r + 3382. Is s a prime number? False Let s be 1/((-1)/229) - 0. Let p = -1398 + 1786. Let o = s + p. Is o a composite number? True Let f = 27 - 27. Suppose f = d - 0 - 63. Let y = d - -346. Is y a prime number? True Suppose 2*g - 2*m = 3864, -51*g = -53*g - 5*m + 3857. Is g a prime number? True Let u be 80 - (2 - 0) - 0. Suppose -u = -v + 4*v. Let a = 115 + v. Is a a prime number? True Let g(k) = k**3 - 8*k**2 + 5*k - 2. Let j be g(7). Let f be (j/6)/(5/15). Is (76/f)/((-1)/2) composite? False Let w be (0 + -7)*12/(-42). Suppose -d - w*u = -697, d - 6*u + 2*u = 709. Is d a composite number? False Suppose 4*l = 0, -3*b + 4*l + 1231 = -2042. Is b prime? True Let v(z) = 6*z**2 - 8*z + 15. Suppose -3*r = -8*r + 40. Is v(r) a composite number? True Let d = -220 + 110. Let h be (-20)/d - 4000/(-22). Suppose -r = -3*r + h. Is r a prime number? False Suppose 2*f + 3*f = 2265. Is f prime? False Suppose l + 2024 = 2*c, -3*l - 1338 = 3*c + 4761. Let w = l + 3127. Is w prime? True Suppose -3*m = -7 + 1. Let z(s) = -3*s + 17. Let y be z(5). Suppose 0 = -y*t - m*t + 564. Is t prime? False Suppose -93 = -3*m - 4*k, -5*m - 6*k + 163 = -2*k. Let i = m - -270. Suppose -328 - i = -3*j. Is j composite? False Suppose 0 = -4*f - h + 3*h + 48798, -12177 = -f - 4*h. Is f a composite number? False Suppose -g + 2*g = 545. Suppose 4*t = -r + 535, 4*t - g = 3*r - 2*r. Let c = t + -14. Is c a prime number? False Let k be 27/(-36)*8/(-3). Suppose -k*s + 3*n = -29, 2*n + 18 = s + 5. Is s a prime number? True Let r = 9 - 6. Suppose 7*s + 3*z = r*s - 18, -21 = 5*s + 3*z. Is 176 + s/2*-2 composite? False Let j(y) = -196*y + 15. Let p(n) = 195*n - 14. Let b(v) = 5*j(v) + 6*p(v). Is b(4) a composite number? False Let b(h) = h + 18. Let n be b(-15). Let c(i) = -i**3 + 3*i**2 + 2*i - 1. Let s be c(n). Suppose -390 = -s*w + 4045. Is w composite? False Suppose 0*b + b - 5401 = 4*u, b - u = 5401. Is b a composite number? True Suppose -62*s = -63*s + 6. Suppose -4*b + 3*u - s*u = -4376, b = 3*u + 1109. Is b composite? False Let w(q) = -268*q**3 + q**2 - 2*q + 3. Is w(-2) prime? False Suppose w + 4*f = 1423, -4*f - 168 = 3*w - 4461. Suppose 3*p + 4*j - w = 0, 3*p - 5*j = 730 + 750. Is p composite? True Suppose -19097 - 10446 = -31*q. Is q prime? True Let r(o) = -14*o + 9. Suppose 3*z - 17 = 2*f + 42, 5*z - 92 = -3*f. Suppose 0 = -2*x - m - 0*m - z, 4*m - 24 = 2*x. Is r(x) a composite number? False Suppose 0 = 6*u - 16630 - 15656. Is u composite? False Suppose -4120 = -5*s + 5*f, s - 293 = -5*f + 513. Is s composite? False Let m(n) = 10032*n**2 - 4*n + 1. Is m(-1) prime? True Let h(d) = 35*d**2 + 6*d + 97. Is h(18) a prime number? False Let a be 4/20 + (41358/(-10))/(-1). Suppose 7*u - a = 603. Is u a prime number? True Suppose 6*l - 8*l + 5*q = -17693, 5*l - 44243 = 2*q. Is l composite? False Let m(b) = 1135*b**2 + b + 1. Let a be m(-1). Let o = a - 668. Is (0 + o)*(-6)/(-6) a composite number? False Suppose 6 = -2*p, -57 = -3*c + 4*p + 54. Let w(a) = 46*a - 36. Let m be w(4). Let z = m - c. Is z a prime number? False Suppose -12*j = -57770 - 57586. Is j a composite number? False Let r = -45 + 49. Let p(v) = v**3 - 2*v**2 + v - 2. Is p(r) prime? False Suppose -475896 = 101*l - 3214915. Is l composite? True Let l = -2697 + 3958. Is l prime? False Suppose 62410 = 7*h - 3*h - 2*j, j - 15598 = -h. Is h composite? False Let a = 2000 - -11229. Is a composite? False Let c(l) = -172*l**3 + 7*l**2 - 24*l + 2. Is c(-7) a prime number? True Let i be 3/(-6) - 106/(-8)*78. Let a = 1562 - i. Is a a prime number? False Let q = -219 - -336. Let c be 3*5/((-15)/28). Let s = c + q. Is s prime? True Let r(o) = o - 1. Let d(t) = -3*t**2 - 20*t - 7. Let j(c) = d(c) - 6*r(c). Is j(-6) composite? False Let c = 137 + -135. Suppose -4*w + 1521 = -d, -6*w = -c*w + d - 1527. Is w prime? False Let g(r) = 2*r**2 + 20*r + 23. Let h be g(-23). Let s = h - -188. Is s prime? True Is -3*((-1123623)/54)/((-5)/(-10)) prime? True Let w be (2 + 10/(-4))*-364. Let i = w + -73. Is i composite? False Let l(y) = 2*y**2 - 5*y - 5. Suppose 0 = 4*q - 5*n - 45, -6*n + n - 10 = 3*q. Let o be l(q). Suppose m - h = 2*h + o, 3*m - 71 = -2*h. Is m prime? True Let x(o) = -o**3 + 14*o**2 - 15*o + 29. Let j be x(13). Suppose j*h - 3*d = -2485 + 6628, -5*h = 5*d - 6925. Is h a composite number? True Suppose 5*b - 1423 = -p + 2166, -p + 3581 = b. Is p a composite number? True Is (-425033)/(-21)*24/8 a composite number? False Suppose 0 = -71*q + 54*q + 935. Is q a prime number? False Suppose -18*h + 4604 = -14*h. Is h a prime number? True Let y(u) = -8657*u**3 + 3*u**2 - 4*u - 1. Is y(-1) composite? False Suppose 0 = s + 2*d - 10, 3*s - s + 3*d = 16. Suppose 0 = 3*g + s*m - 20, 0*g = 4*g - m - 12. Suppose l - g*l + 1335 = 0. Is l composite? True Is -4 + (5 - 0)*25309 a prime number? True Let j(x) = 1399*x**2 + 2*x + 25. Is j(6) a prime number? False Let y be 24/16*-35*(-24)/10. Suppose 0 = 2*t + 10, -2*i - t = -y - 3503. Is i prime? False Suppose 0 = -3*w - q + 2*q + 3987, 0 = 3*w + 5*q - 3987. Let f = 2966 - w. Is f a composite number? False Let z(t) = 657*t**2 - 2*t + 4. Is z(-3) a prime number? True Let z(h) = 206*h - 7. Let i be z(7). Suppose -9*f + 464 = -i. Is f prime? True Let u(d) = d**3 + 34*d**2 - 17*d - 85. Is u(-32) a composite number? True Let l(a) be the third derivative of 121*a**5/60 - a**4/24 - a**3/6 + 4*a**2. Suppose 6*v = 5*v + 2. Is l(v) a composite number? True Let j be ((-4)/(-2)
{ "pile_set_name": "DM Mathematics" }
Solve -12*q = -t*q + 45 for q. -5 Let h(j) be the second derivative of -j**3/3 - j**2 + 78*j. Let o be h(-2). Solve -1 = -o*d + 3*d for d. -1 Let k = -3865 + 3877. Solve -k*o + 92 = 20 for o. 6 Suppose 5 = -3*a - 2*a. Let u(s) = s**3 + 9*s**2 - 9*s + 8. Let h be u(-10). Let d = a - h. Solve -d = -i - 0 for i. 1 Suppose 30 = -245*z + 248*z. Let i be (-1)/5 + (-76)/(-5). Suppose -3*a - i = -6*a. Solve -25 + z = a*k for k. -3 Let n(j) = -2*j**2 + j + 8. Let w(q) = -q**3 + q**2 + 2*q - 2. Let o be w(1). Let s be n(o). Let l be s*(-5)/(-10)*1. Solve 0 = 4*p - l - 12 for p. 4 Let s(j) be the third derivative of j**5/60 + 5*j**4/6 + 55*j**3/3 - 229*j**2. Let n be s(-9). Solve -n = 13*h - 2*h for h. -1 Suppose 113*r - 4*k = 110*r + 18, -2*r = -3*k - 13. Solve -49*l = -51*l + r for l. 1 Suppose -3*b + 2 = -14*a + 12*a, -27 = -3*a - 3*b. Solve 8 - 3 = a*w for w. 1 Let w(d) = 44*d - 1247. Let j be w(29). Solve 37*g - 64 = j*g for g. 8 Let q(i) = 11*i + 683. Let k be q(-61). Solve 0 = k*g - 22 + 70 for g. -4 Let m(j) = j**2 + j - 1. Let z be m(-3). Let b be ((-9)/(-30))/((15 + -17)/(-50))*(-2)/(-3). Solve b*f = -z*f + 4*f for f. 0 Let c be ((-58)/(10/(-5)))/((96/18)/16). Solve -95*o + c*o + 56 = 0 for o. 7 Let g(z) = -4*z**2 + 33*z - 64. Let y be g(4). Solve y*h + 29 = -25*h for h. -1 Let u be 12/24 - 297/(-22). Solve u = -269*s + 276*s for s. 2 Suppose -v - 3*w + 4 = 2*w, -54 = -4*v - w. Suppose -3*h + 2*h + v = 3*i, -2*h - 32 = -4*i. Suppose i = -7*o + 10*o. Solve a + 0 = o for a. 2 Suppose 290 = 5*s + 270. Solve s*i + 58 - 66 = 0 for i. 2 Let u = 4011 - 2753. Solve -8*h - u = -1282 for h. 3 Suppose -54*w + 1131 = -195*w + 11706. Solve w = 29*p - 70 for p. 5 Let l(s) = -12*s - 4. Let i be l(2). Let o = i - -31. Let n be 9/o + -4 + 1. Solve 4*k = -n*k for k. 0 Let w = 64 + -64. Let y be w - 1 - (7 - 3 - 11). Solve 4*s - 7*s = -y for s. 2 Let o(g) = -403*g + 859. Let d be o(2). Solve -22 - d = -15*p for p. 5 Let k(p) = -p**2 + 9*p + 41. Let l be k(9). Solve 9*s - 23 = -l for s. -2 Let f(j) = j**2 - 3*j + 7. Let c be f(6). Let h = 28 - 10. Suppose 0 = 4*p - 18 + h. Solve p = 3*k - c + 10 for k. 5 Let u = -67 - -110. Solve u*j = 55*j for j. 0 Let d be 57*1 - 36/(-144)*44. Solve 10*x - d + 48 = 0 for x. 2 Let q be 280/6 + ((-754)/87)/13. Solve -q*s + 385 = 31*s for s. 5 Suppose -11*o - 274 = 1761. Let v = o + 188. Solve 0 = 5*a + v - 8 for a. 1 Suppose -4*s + 7*s = 4*s. Suppose 4*b + o - 56 = 0, -3*b + 5*o = -s*b - 65. Solve -11*h = -6*h - b for h. 3 Let q(f) = 3*f**2 - 52*f + 136. Let z be 1 - 2/((-4)/(6 - 2)). Let j be q(z). Solve 6*i + j = -11 for i. -3 Suppose 0 = 9*p - 17*p - 176. Let n(l) = -4*l**3 - 3*l**2 - l + 4. Let b be n(2). Let x = p - b. Solve -3*o - x = o for o. -5 Let j = 65 - 42. Let i(m) = 5 - 2 + 5*m + 10*m**3 + j*m**2 - 9*m**3 - 27*m**2. Let n be i(2). Solve 3*f = n*f - 4 for f. 2 Suppose -p - 2*h - 5 = 0, -30*p + 32*p + 3*h = -4. Suppose -3*f + 18 = l, -3*f + 3*l + 26 = 8. Solve p*i = 5*i + f for i. 3 Let n = 33990 - 33958. Solve -n*t + 50 = 18 for t. 1 Let b = -7 + 12. Let s be ((-1)/(-2))/((-23)/(-46)). Suppose -s = 10*z - 31. Solve -2*x = z - b for x. 1 Suppose k = 9*k - 56. Let c be (54/(-8))/(-1) - 9/12. Solve -k = c*h + 5 for h. -2 Suppose -4*w - 328 = 4*p, -p = -w - 113 + 27. Let x be w/(5 + -11) + -2. Solve 6*b - x = 12 for b. 4 Suppose -5 = -a - 2. Suppose 26*h - 62 = 303 + 155. Solve -l = a*l + h for l. -5 Suppose 0 = 5*b - 10, 4*b - 60 = -17*l + 15*l. Solve -r = l - 25 for r. -1 Let g = -2148 + 2172. Solve 1451*d - 1447*d = -g for d. -6 Let r(x) = -318*x + 2560. Let i be r(8). Solve 0 = -i*v + v - 75 for v. -5 Let a(z) = -78*z**2 - 557*z + 17. Let h be a(-7). Solve 0 = 86*j - h + 438 for j. -4 Suppose x + 2*l = 3, -4*l - 3 = 5. Suppose 80*h - 83*h = 0. Solve h = -5*i + 12 - x for i. 1 Suppose -47 = 2*o - 67. Suppose n - o = -5. Suppose h = -4*k - 0*h + 11, -5*k + n*h = -45. Solve -3*i - k = i for i. -1 Suppose -11*u - 17*u - 252 = 0. Let l(a) = 2*a**3 + 19*a**2 + 6*a - 22. Let q be l(u). Solve -3*m + q = -7 for m. 4 Suppose 5*p - 57 = 2*p - 3*h, 4*p - 3*h - 83 = 0. Suppose 0 = -b - b + p. Suppose 24 = -8*w + b*w. Solve -2*m - 2*m - w = 0 for m. -3 Let m(c) = 2*c + 33. Let f be m(-6). Suppose -198 = -f*x - 9. Solve -12 = x*g - 5*g for g. -3 Let r = 2311 - 2285. Solve -r*s + 43*s = -85 for s. -5 Suppose 951 = 37*f - 48. Solve 0 = -13*i - 38 - f for i. -5 Let n(h) = -h**2 + 15*h - 42. Let d be n(5). Let i be (-66)/14 - 2/7. Let a = d + i. Solve a*s + s + 20 = 0 for s. -5 Let m(o) = o**3 - 6*o**2 - 7*o + 5. Let q be m(7). Let w be -8*(1 + 20/(-8)) + -1. Suppose -w*x - 56 = -15*x. Solve -q*p = -11 - x for p. 5 Let y = 8 + -6. Let x be 2/1*1 + 12/y. Suppose c - 4 = 1, 2*v - c - 1 = 0. Solve -5*g - v = -x for g. 1 Suppose d - 5*d - 112 = 4*y, 2*d + 134 = -5*y. Let n = y + 41. Suppose -3*t - n = -6*t + x, -t - 2*x = -5. Solve -6 = -3*c + t*c for c. -3 Let i = -145 - -205. Let m be ((-42)/8)/((-45)/i). Solve y - 30 = m*y for y. -5 Suppose 2 - 3 = -x, 5*q = x + 24. Suppose -2*a - 3*w - q = -9, -4*a + 4*w = -48. Solve -7*j = -a*j + 5 for j. 5 Let u be ((-37)/(-111))/(2 - (177/(-90))/(-1)). Solve u*h = 13*h - 3 for h. 1 Suppose -152*f + 141*f = 121. Let l(m) = -2*m**3 - 21*m**2 + 10*m - 5. Let i be l(f). Solve -i*z = z + 35 for z. -5 Let w(d) = d**3 - 21*d**2 + 33*d + 4. Let g be w(20). Let i = 269 - g. Solve 0 = -i*m - 5 for m. -1 Suppose -3*x + q - 45 = 17, -2*x + q = 41. Let j be (-3)/(x/4) - 810/(-567). Solve -4 = j*u + 6 for u. -5 Suppose -509 = -3*y + 142. Solve 0 = 2*g + y - 229 for g. 6 Suppose -70 + 22 = 4*x. Let h(p) = -p**3 - 12*p**2 + 2*p + 26. Let j be h(x). Suppose 2*g + 3*u = j*u, 2*g = -5*u - 16. Solve 8 = g*i - 6*i for i. -2 Let z(g) = g**2 - 4*g + 10. Let c be z(3). Let m = 49 + -34. Suppose 11*n - c = m. Solve n*y = -y for y. 0 Let f(j) = -65*j + 620. Let c be f(9). Solve -10*m = -3*m + c for m. -5 Let x = 570 + -565. Let o(q) = q**3 - 2*q**2 - 12*q - 5. Let a be o(x). Solve a*h + h = h for h. 0 Let d = 678 - 603. Suppose 87 = 4*x + d. Solve 1 - 10 = -x*t for t. 3 Let m be 4/3*(1 + 2). Suppose 0 = 6*b + 134 - 146. Suppose 3*h + 4*j = 30, -h - 4*h + b*j + 24 = 0. Solve -m*n + 8 = -h*n for n. -4 Suppose 3*m - 51 = 99*k - 102*k, 2*m = -5*k + 37. Solve -76*g + m*g = -360 for g. 6 Let k be -20*(-12)/(-48) - (1 - 15). Solve -2*a + k*a = 0 for a. 0 Let p be ((-1)/(-2))/(1/14). Let h be (74 - 69)/((-1)/((396/30)/(-6))). Solve h*j - p*j = -20 for j. -5 Suppose 660 = 8*q + 3*q. Suppose q = 4*c - 4*u, -7*u + 3*u = -5*c + 78. Let d(x) = x**3 + 6*x**2 + 4*x - 1. Let v be d(-5). Solve v*b - c = 2 for b. 5 Let z(b) = 2*b + 6. Suppose 5*q - 5*c = 10, -q + 8 = -3*c - c. Let d be z(q). Let a be (6 - 15/3)*3. Solve p + d = a*p for p. 3 Let h(v) = 296*v - 9424. Let q be h(32). Solve 544*n = 536*n - q for n. -6 Let s = 63 + -38. Suppose 0 = -50*d + 49*d + 250. Let z = d + -247. Solve z*g + s = -2*g for g. -5 Let k(j) = -j**3 + 5*j**2 - 7*j + 2. Let i be k(2). Suppose -7*x + 19*x - 948 = i. Solve x + 1 = 16*v for v. 5 Let i(q) = q**2 + 4 - 1 - 3*q + 0*q. Let l be i(2). Suppose 411 - 387 = 3*u - 3*z, 4*z + 12 = 0. Solve u + l = 3*m for m. 2 Let a = 9918 + -9891. Solve a*p - 29 = 52 for p. 3 Let h(u) = -u**2 + 46*u - 115. Let i be h(43). Solve 81 = i*d + 11 for d. 5 Let b be (-11 - -12) + 16 + -1. Solve -189 = 37*i - b*i for i. -9 Let q be 338/38 - ((-20)/38)/5. Suppose 0*w + q = w - 3*r, 41 = 3*w + 5*r. Solve 2*m = -2*m - w for m. -3 Suppose 0 = 8*h - 10*h - 432. Let s = 234 + h. Solve -s = 3*q - 9 for q. -3 Let v be 18/2*9/(-27). Let u be -5*(v/(-9))/((-20)/36). Suppose -u*g - 25 = -8*g. Solve -g*z = 17 + 3 for z. -4 Let r(v) = -2*v**3 + 31*v**2 + 90*v + 40. Let x be r(18). Solve -x*b - 15 = -43*b for b. 5 Let k(y) = 41*y - 37. Let z be k(5). Let l be z/98*7/2. Suppose c - l = 3*d, -5*c + 5*d = -6 - 14. Solve 2*s = c*s - 4 for s. 4 Let i = -327 + 368. Suppose 33*l = i*l - 8. Solve 16 = -5*k + l for k. -3 Suppose 0 = -11*r + r + 70. Suppose -3*q + d + 13 = 0, 4*q = 3*q + d + r. Suppose -q*j = -3*b, 0*j + 3*j + 6 = 5*b. Solve -s + 4*s - b = 0 for s. 1 Let u = 13417 + -13304. Solve -474 = u*o - 34*o for o. -6 Let m(t) = 4*t**2 + 12*t - 8. Let l be m(-4). Suppose -19*y - l = -23*y. Solve -y - 1 = 3*f for f. -1 Let n = -15191 - -15250. Let v
{ "pile_set_name": "DM Mathematics" }
*3*p + 8441*p wrt p. -2802228*m**3*p**2 + 108*m**3 Differentiate 5494491*d**3 - 7149883 with respect to d. 16483473*d**2 Find the second derivative of 104*r**4 - 2*r**3 + 812612*r**2 + 74159316*r. 1248*r**2 - 12*r + 1625224 What is the derivative of -25053890*f*s - 43*s - 77572 wrt f? -25053890*s What is the derivative of -3*r*z**2 + 1115*r*z - 297*r - 44*z**2 + 2*z - 4420 wrt z? -6*r*z + 1115*r - 88*z + 2 Find the third derivative of -72000*o**6 - 11*o**3 - 2*o**2 + 2*o + 541260. -8640000*o**3 - 66 What is the third derivative of -1015*i**6 + 8979*i**3 - i**2 + 2633*i - 49? -121800*i**3 + 53874 Find the third derivative of -978429*d**5 - 372819006*d**2. -58705740*d**2 What is the first derivative of 294524933*u + 217411527 wrt u? 294524933 Find the second derivative of 941819750*y**5 - 987359712*y. 18836395000*y**3 Find the second derivative of 5203904*a**2 - 7*a + 290248. 10407808 What is the third derivative of 12000268*d**6 + 805051*d**2 - 22*d wrt d? 1440032160*d**3 What is the first derivative of -4971550*n*u**2*z - 6*n*u**2 - 188*n*u + 6*n*z + 16*u**2 + 8*u wrt z? -4971550*n*u**2 + 6*n What is the third derivative of 63650*a**2*o**3 + 592*a**2*o**2 + 3360*a**2*o + 4*a*o**2 + 445*o**3 wrt o? 381900*a**2 + 2670 Find the third derivative of -74*i**5 - 804163*i**3 + 2*i**2 - i + 3014184. -4440*i**2 - 4824978 Find the second derivative of -110*l**4 - l**3 + 53919*l**2 - 45937610*l. -1320*l**2 - 6*l + 107838 Find the second derivative of 8727*r**3*w**2 + 3*r**3*w - 321*r**2*w - 2*r**2 + 13128*r*w**4 + 3870*r*w wrt w. 17454*r**3 + 157536*r*w**2 What is the first derivative of -i*s**3 - 26*i*s**2 - 163194*i*s + 5481163*s**3 wrt i? -s**3 - 26*s**2 - 163194*s Find the first derivative of -120*a**3*x*z**3 - 3*a**3*z**3 - a**3*z - 22575*a**2*z**3 + 21*a**2*z - 144271*x*z**3 + 3 wrt x. -120*a**3*z**3 - 144271*z**3 What is the second derivative of 102086153*u**3 + 5537*u - 22477 wrt u? 612516918*u What is the second derivative of -106*g**3*p**2*s - 2295*g**3*p + 3*g**2*p - 19*g**2 - 154*g*p*s + 4*g*s - 43*p**2*s - 643*p**2 wrt p? -212*g**3*s - 86*s - 1286 What is the first derivative of -4403413*m**3 - 4211134 wrt m? -13210239*m**2 Find the first derivative of 3576305*v**2 - 17*v - 109294041. 7152610*v - 17 Differentiate 2490021*d*l*o**2 - 65*d*l + 72*d*o + 26*d + 21990*o**2 wrt l. 2490021*d*o**2 - 65*d What is the third derivative of 1076568*b**4*s - 21*b**3*s**3 - 3*b**2*s**3 - 14954*b**2 - 10*b*s**3 wrt b? 25837632*b*s - 126*s**3 Find the second derivative of -321*f**2*k**2*m**2 + 2*f**2*k*m + 12083*f**2*m**2 - 4365*f*k**2*m - 139*f*k**2 - f*k*m wrt m. -642*f**2*k**2 + 24166*f**2 What is the second derivative of -21730*j**2*x**3 + 4649*j**2*x**2 + j**2*x - 26*j**2 - j*x + 346*x - 349 wrt x? -130380*j**2*x + 9298*j**2 What is the second derivative of 5003664*f*g**3 + 7*f*g + f - 23039*g - 4 wrt g? 30021984*f*g What is the derivative of 1031*n**3 - 6*n**2 - 12574*n + 352421211? 3093*n**2 - 12*n - 12574 What is the third derivative of 10*k*z**4 + 56030*k*z**2 - 82320*z**4 + 57*z**2 wrt z? 240*k*z - 1975680*z What is the derivative of 516228*d**4 - 7851383 wrt d? 2064912*d**3 What is the first derivative of -67500199*y**3 + 4*y**2 - 480646703 wrt y? -202500597*y**2 + 8*y Find the third derivative of -320311*s**3*u + 118*s**3 + 22*s**2*u - 6*s + 74792*u + 2 wrt s. -1921866*u + 708 Differentiate 4565*t**3 - 32*t**2 + 2*t + 9409646 wrt t. 13695*t**2 - 64*t + 2 What is the third derivative of d*z**4 - 37*d*z**3 + 222*d*z**2 - 7*d*z - d - 10369*z**4 - 61*z**2 wrt z? 24*d*z - 222*d - 248856*z What is the third derivative of -5*h*r*w**3 - 67*h*r*w**2 - 2*h*r*w + 848*h*w**3 - 959*h*w**2 + 121*r*w**3 + 11*r*w**2 wrt w? -30*h*r + 5088*h + 726*r What is the second derivative of -85283674*v**3 - 52564*v - 2160 wrt v? -511702044*v What is the derivative of -6*m**4 - 2*m**3 - 1173*m**2 + 4*m - 10694042 wrt m? -24*m**3 - 6*m**2 - 2346*m + 4 What is the third derivative of -2*d**3*z**3 - 35216616*d**3*z - 842206*d**2*z - 33*z**3 wrt d? -12*z**3 - 211299696*z Differentiate 3*n**3*w**2 - 340044*n**3 + 29600681*n**2*w**2 + n**2 - 2*n with respect to w. 6*n**3*w + 59201362*n**2*w What is the first derivative of -442448337*j + 470279754 wrt j? -442448337 Find the third derivative of -9854936*c**3 - 2*c**2 + 1142*c + 1530 wrt c. -59129616 What is the derivative of -47663922*l**4 + 50384630? -190655688*l**3 What is the second derivative of 34370*n**3 + 30*n**2 + 5*n - 5751216 wrt n? 206220*n + 60 Find the third derivative of -h**6 + 4484984*h**3 + 11*h**2 + 16*h + 6633 wrt h. -120*h**3 + 26909904 Find the second derivative of 832*d**2*f**2*m**2 + 13671*d**2*f*m - 2389*d**2*m**2 - 63*d*f**2*m wrt m. 1664*d**2*f**2 - 4778*d**2 What is the first derivative of 244451*j**4 + 11*j**2 + 212787035 wrt j? 977804*j**3 + 22*j Find the second derivative of 15256547*z**3 + 6146568*z. 91539282*z Find the third derivative of 398205830*j**3 + 317*j**2 - 4*j + 3580 wrt j. 2389234980 What is the derivative of 123*n*w**2 + 3*n*w - 22568512*n - 2*w**2 - 4265*w wrt w? 246*n*w + 3*n - 4*w - 4265 What is the third derivative of -109*p**5 + 8903*p**4 - 6*p**3 - 6386*p**2 - 1216*p? -6540*p**2 + 213672*p - 36 What is the second derivative of -2*g**3*h*q - 3*g**3*q**2 + 2*g**3 - 41*g**2*h*q + 1013*g*h*q**2 + 21*g*h*q - 149*h*q**3 - 3*h*q + 53 wrt q? -6*g**3 + 2026*g*h - 894*h*q Find the third derivative of -2161256*h**5 - h**3 + 342214*h**2 + h - 3. -129675360*h**2 - 6 What is the derivative of -152284127*p + 156818199? -152284127 Find the third derivative of -11120586*f**5 - 11*f**3*z + 753*f**2*z - 4*f**2 - 2*f*z - 99*f + 35*z + 1 wrt f. -667235160*f**2 - 66*z Differentiate 4291*g**4 - 1501*g**2*r**3 + 3*r**3 + 6943371 wrt g. 17164*g**3 - 3002*g*r**3 What is the third derivative of 2*h*p**3*x + 35874*h*p**2*x**3 + h*p**2*x**2 - 3*h*p*x**2 - 17*h*x**2 + p**3*x**3 + p**3*x**2 - 119381*p**2 + 592*x**3 wrt x? 215244*h*p**2 + 6*p**3 + 3552 Differentiate t**3*z + 254978530*t**3 + 195*z**4 - 3487*z**3 wrt z. t**3 + 780*z**3 - 10461*z**2 What is the derivative of 5301323*z - 2537245? 5301323 What is the first derivative of -263583292*v**2 + 52037038? -527166584*v What is the first derivative of -71*o**3*v**2 + 2*o**3 - 198500*o**2*v**4 - 10388*o + 10328 wrt v? -142*o**3*v - 794000*o**2*v**3 What is the first derivative of -2058128*r - 51978 wrt r? -2058128 What is the second derivative of 4*i**3*k**2 - 124752127*i**2*k**3 + 134*i*k**3 - 27213*i*k**2 - 16*i*k wrt i? 24*i*k**2 - 249504254*k**3 What is the first derivative of 7573014*r + 3704106 wrt r? 7573014 What is the first derivative of -285702*m*q - 21*m + 5814891*q wrt m? -285702*q - 21 What is the second derivative of -94*d**4 + 478405*d**3 + 12774*d - 686 wrt d? -1128*d**2 + 2870430*d What is the third derivative of -10555780*g**3 - 1100986*g**2 - 5*g wrt g? -63334680 What is the second derivative of -4826785*h**3*i**2*k + 7*h**2*i**2*k - 3*h*i**2*k - 120067*h*i**2 + 5*h + 10*i**2*k wrt h? -28960710*h*i**2*k + 14*i**2*k Find the first derivative of -11684061*l**2 - 2*l - 659773018 wrt l. -23368122*l - 2 Differentiate -425123800*r**4 + 377645424 with respect to r. -1700495200*r**3 What is the derivative of -3603367*x**2 + 2*x - 5040547 wrt x? -7206734*x + 2 What is the derivative of -106*f*h**2 + 8495*f*h + 12996112*f wrt h? -212*f*h + 8495*f What is the second derivative of -4201638*h**2 + 231457*h - 5? -8403276 Differentiate 144525083*f**4 - 241530004 wrt f. 578100332*f**3 Differentiate 3849126*p**2 + 4701713. 7698252*p Find the first derivative of 5000593*u**2 + 227217467 wrt u. 10001186*u Find the second derivative of 43647362*f**2*s**2 - f*s**2 + 3*s**2 - 1541691*s wrt f. 87294724*s**2 Find the second derivative of 112192145*u**5 + 177410342*u - 1 wrt u. 2243842900*u**3 Find the first derivative of -92274264*d + 70128974 wrt d. -92274264 Differentiate 4*d**3*h - 9226*d**2*h + 6267*d*h - 106534772*h + 1 with respect to d. 12*d**2*h - 18452*d*h + 6267*h What is the third derivative of -13*v**5 + v**4 + 3026143*v**3 + 17*v**2 - v + 976820? -780*v**2 + 24*v + 18156858 Find the second derivative of 3*k**3*p - 78*k**3 - 4110*k**2*p**2 + 16362*k*p**2 + k + p**2 + 1 wrt k. 18*k*p - 468*k - 8220*p**2 What is the second derivative of 609972805*q**2 -
{ "pile_set_name": "DM Mathematics" }
5043 What is the l'th term of 61032, 61058, 61100, 61158, 61232, 61322? 8*l**2 + 2*l + 61022 What is the k'th term of -45080, -90178, -135276? -45098*k + 18 What is the b'th term of -1268, -1219, -1168, -1115, -1060, -1003? b**2 + 46*b - 1315 What is the u'th term of 1081, 4084, 9089, 16096? 1001*u**2 + 80 What is the t'th term of 135, 1417, 5015, 12087, 23791, 41285? 193*t**3 - 69*t + 11 What is the c'th term of 13753, 27475, 41197, 54919? 13722*c + 31 What is the b'th term of 191808, 191810, 191820, 191844, 191888, 191958, 192060, 192200? b**3 - 2*b**2 + b + 191808 What is the a'th term of -10767, -10785, -10803, -10821, -10839, -10857? -18*a - 10749 What is the h'th term of -4282, -8573, -12870, -17173, -21482, -25797, -30118? -3*h**2 - 4282*h + 3 What is the z'th term of 1417, 2866, 4323, 5788? 4*z**2 + 1437*z - 24 What is the n'th term of -27339, -27329, -27319? 10*n - 27349 What is the p'th term of -15188, -30377, -45564, -60749, -75932, -91113? p**2 - 15192*p + 3 What is the d'th term of 31405, 31370, 31331, 31288, 31241? -2*d**2 - 29*d + 31436 What is the o'th term of 60340, 60319, 60284, 60229, 60148, 60035, 59884, 59689? -o**3 - o**2 - 11*o + 60353 What is the n'th term of -21625, -21616, -21601, -21580? 3*n**2 - 21628 What is the b'th term of -13483, -13499, -13525, -13561, -13607, -13663, -13729? -5*b**2 - b - 13477 What is the l'th term of -5097, -20455, -46053, -81885, -127945, -184227, -250725, -327433? l**3 - 5126*l**2 + 13*l + 15 What is the g'th term of -11321, -22638, -33931, -45188, -56397, -67546? 2*g**3 - 11331*g + 8 What is the i'th term of -337, -1323, -2959, -5245? -325*i**2 - 11*i - 1 What is the y'th term of 3079, 6137, 9197, 12259, 15323? y**2 + 3055*y + 23 What is the d'th term of -1553, -6951, -15947, -28541? -1799*d**2 - d + 247 What is the u'th term of 1516, 3002, 4462, 5884, 7256, 8566, 9802, 10952? -2*u**3 - u**2 + 1503*u + 16 What is the a'th term of -4310, -8827, -13344, -17861, -22378, -26895? -4517*a + 207 What is the t'th term of 248, 270, 274, 260, 228, 178, 110? -9*t**2 + 49*t + 208 What is the b'th term of 249, 935, 2027, 3489, 5285, 7379, 9735, 12317? -6*b**3 + 239*b**2 + 11*b + 5 What is the u'th term of 41085, 41091, 41103, 41121, 41145, 41175, 41211? 3*u**2 - 3*u + 41085 What is the u'th term of -2768, -2913, -3058, -3203, -3348? -145*u - 2623 What is the j'th term of -7278, -14552, -21826? -7274*j - 4 What is the b'th term of 5227, 5148, 5069, 4990? -79*b + 5306 What is the d'th term of 7585, 7588, 7591, 7594, 7597? 3*d + 7582 What is the j'th term of -1989, -3977, -5957, -7923, -9869, -11789, -13677, -15527? j**3 - 2*j**2 - 1989*j + 1 What is the n'th term of 119, 161, 181, 167, 107, -11, -199? -2*n**3 + n**2 + 53*n + 67 What is the t'th term of -188034, -188037, -188040, -188043, -188046, -188049? -3*t - 188031 What is the c'th term of -906594, -1813188, -2719782, -3626376, -4532970? -906594*c What is the p'th term of 34288, 68585, 102882? 34297*p - 9 What is the a'th term of -6146, -12634, -19110, -25568, -32002, -38406, -44774, -51100? a**3 - 6495*a + 348 What is the c'th term of 32, 56, 80, 104, 128, 152? 24*c + 8 What is the k'th term of -7093, -14167, -21221, -28255, -35269, -42263, -49237? 10*k**2 - 7104*k + 1 What is the v'th term of -115984, -115989, -116006, -116041, -116100, -116189? -v**3 + 2*v - 115985 What is the d'th term of 236072, 236071, 236070? -d + 236073 What is the y'th term of -27763, -111050, -249863, -444202, -694067, -999458? -27763*y**2 + 2*y - 2 What is the l'th term of -557, -90, 375, 838, 1299? -l**2 + 470*l - 1026 What is the c'th term of 397, 966, 1709, 2626, 3717, 4982? 87*c**2 + 308*c + 2 What is the d'th term of 14473, 58260, 131231, 233380, 364701? -d**3 + 14598*d**2 - 124 What is the b'th term of -122, -285, -462, -653, -858? -7*b**2 - 142*b + 27 What is the h'th term of 18485, 36967, 55449, 73931, 92413, 110895? 18482*h + 3 What is the t'th term of -447331, -447334, -447327, -447304, -447259? t**3 - t**2 - 7*t - 447324 What is the j'th term of 49948, 99891, 149834, 199777, 249720? 49943*j + 5 What is the p'th term of 2096, 4193, 6290? 2097*p - 1 What is the j'th term of 7134, 7142, 7152, 7164, 7178, 7194? j**2 + 5*j + 7128 What is the l'th term of 320364, 640730, 961096, 1281462, 1601828, 1922194? 320366*l - 2 What is the g'th term of 568, 1212, 1922, 2698, 3540, 4448, 5422? 33*g**2 + 545*g - 10 What is the a'th term of 527, 4393, 14923, 35447, 69295? 555*a**3 + 2*a**2 - 25*a - 5 What is the f'th term of 105, 176, 205, 168, 41, -200, -579? -4*f**3 + 3*f**2 + 90*f + 16 What is the q'th term of -236, 294, 1178, 2416, 4008? 177*q**2 - q - 412 What is the x'th term of 108, 278, 662, 1368, 2504, 4178, 6498? 18*x**3 - x**2 + 47*x + 44 What is the j'th term of -50720, -101427, -152130, -202829, -253524? 2*j**2 - 50713*j - 9 What is the y'th term of 10521, 21048, 31611, 42228, 52917, 63696? 3*y**3 + 10506*y + 12 What is the f'th term of -22890, -45814, -68728, -91626, -114502, -137350, -160164, -182938? f**3 - f**2 - 22928*f + 38 What is the d'th term of -9685, -9661, -9621, -9565? 8*d**2 - 9693 What is the s'th term of 265084, 265087, 265090, 265093, 265096, 265099? 3*s + 265081 What is the l'th term of 618, 2269, 4960, 8697, 13486? l**3 + 514*l**2 + 102*l + 1 What is the z'th term of 31040, 62048, 93056? 31008*z + 32 What is the c'th term of -110581, -110594, -110607, -110620, -110633, -110646? -13*c - 110568 What is the o'th term of -77594, -155202, -232810, -310418, -388026, -465634? -77608*o + 14 What is the j'th term of 2608, 2507, 2406, 2305, 2204? -101*j + 2709 What is the o'th term of -778, -2729, -5976, -10513, -16334? o**3 - 654*o**2 + 4*o - 129 What is the o'th term of -34161, -34155, -34147, -34137, -34125? o**2 + 3*o - 34165 What is the u'th term of -936, -3755, -8446, -15003, -23420? u**3 - 942*u**2 + 5 What is the m'th term of -1603, -3276, -6063, -9964, -14979? -557*m**2 - 2*m - 1044 What is the m'th term of 846, 1570, 2294, 3018, 3742, 4466? 724*m + 122 What is the b'th term of 597, -1215, -4227, -8433, -13827, -20403, -28155, -37077? b**3 - 606*b**2 - b + 1203 What is the u'th term of 281, 1034, 2277, 4004, 6209, 8886? -u**3 + 251*u**2 + 7*u + 24 What is the y'th term of -10914, -10809, -10704? 105*y - 11019 What is the j'th term of -221, -246, -375, -668, -1185, -1986, -3131? -10*j**3 + 8*j**2 + 21*j - 240 What is the h'th term of 644, 1294, 1942, 2588, 3232? -h**2 + 653*h - 8 What is the b'th term of 1411, 2816, 4225, 5638, 7055, 8476? 2*b**2 + 1399*b + 10 What is the t'th term of 7604, 7611, 7612, 7607, 7596, 7579, 7556? -3*t**2 + 16*t + 7591 What is the l'th term of -19, -220, -839, -2110, -4267, -7544? -39*l**3 + 25*l**2 - 3*l - 2 What is the w'th term of 2395, 2389, 2387, 2389, 2395? 2*w**2 - 12*w + 2405 What is the j'th term of 17562, 17687, 17904, 18219, 18638, 19167, 19812? j**3 + 40*j**2 - 2*j + 17523 What is the h'th term of 6897, 6903, 6911, 6921, 6933? h**2 + 3*h + 6893 What is the v'th term of 102395, 204802, 307207, 409610, 512011, 614410? -v**2 + 102410*v - 14 What is the s'th term of 2816, 2821, 2826, 2831? 5*s + 2811 What is the y'th term of 150889, 150885, 150881, 150877, 150873? -4*y + 150893 What is the k'th term of -1339512, -1339513, -1339514, -1339515? -k - 1339511 What is the q'th term of 181, 976, 2291, 4120, 6457, 9296, 12631, 16456? -q**3 + 266*q**2 + 4*q - 88 What is the u'th term of 2262, 10180, 23372, 41832, 65554, 94532? -u**3 + 2643*u**2 - 4*u - 376 What is the t'th term of -1351, -1482, -1613, -1744, -1875? -131*t - 1220 What is the t'th term of -184, -321, -550, -871, -1284? -46*t**2 + t - 139 What is the k'th term of -400, 1839, 4080, 6323, 8568, 10815, 13064? k**2 + 2236*k - 2637 What is the t'th term of 20575, 20574, 20573, 20572? -t + 20576 What is the m'th term of -66, -99, -70, 51, 294, 689, 1266? 5*m**3 + m**2 - 71*m - 1 What is the d'th term of 58631, 58633, 58635, 58637, 58639, 58641? 2*d + 58629 What is the r'th term of -2051, -2078, -2105, -2132, -2159? -27*r - 2024 What is the i'th term of -27, -183, -611, -1449, -2835? -23*i**3 + 2*i**2 - i - 5 What is the x'th term of -524, -981, -1438, -1895, -2352, -2809? -457*x - 67 What is the j'th term of 3958, 3972, 3996, 4030, 4074, 4128? 5*j**2 - j + 395
{ "pile_set_name": "DM Mathematics" }
Simplify ((u**(2/21))**(2/7)/(u**0)**18)**43 assuming u is positive. u**(172/147) Simplify ((z*z**(-2/13)/z*z*z*z*z**18)/(z**(-2/29)*z)**(-5/8))**(3/14) assuming z is positive. z**(193881/42224) Simplify (x**(-2)*((x/(x*x**(-2)))/x*x)/x)**12/((x/(x**(-1)*x)*x**(-1/8))/(x/(x/(x/(x*x*x*x**(-6))*x))*x*x**(1/4)/x)) assuming x is positive. x**(-61/8) Simplify ((k/((k*(k/((k*(k*((k/(k/(k**(-7)*k)))/k)/k)/k*k)/k*k))/k)/k))**(-37)/(k**(2/11)/k*k**(-7)*k))**(-31) assuming k is positive. k**(-65410/11) Simplify (l**(-1/11)/l**(-7)*((l/(l*l*l/l**8*l))/l)/l**(-5))/(l**(1/5)*l**(-9)*l)**(-1/56) assuming l is positive. l**(48571/3080) Simplify ((((a*a**28*a)/a**(-2/57))**(-15/7))**43)**27 assuming a is positive. a**(-9938160/133) Simplify ((o**(-4/9)/o**1)/((o/(o/(o*o*o**(-7))))/(o/(o**(-1/11)/o))))/((o/(o**(2/7)/o))**(-2/17))**(-1/8) assuming o is positive. o**(66224/11781) Simplify h**22*h*h**(-18/7)*h*h**(-23)*h*h*h**24*h*h*h assuming h is positive. h**(192/7) Simplify (c*c**48)/(c/(c/(c**(16/7)*c)))*(c**(1/9))**(8/9) assuming c is positive. c**(25976/567) Simplify ((x**(-6)/x**(-1/16))/(x**(-4/3))**(-8/9))**34 assuming x is positive. x**(-52309/216) Simplify r**(-36)*r**(-2/23)*r**(-3/17)*r**(-6/13) assuming r is positive. r**(-186673/5083) Simplify (d*d*d**(2/9)/d*d/d**(-2/3))**(-47)/((d*(d*d**2/d)/d*d)/d**8*d**4/d**(-2/3)) assuming d is positive. d**(-1219/9) Simplify ((((n/n**(-1/29))/n)/n*n)**(-9/10)/(n**(-1/6)*n)**(-16))**(2/55) assuming n is positive. n**(11573/23925) Simplify ((q/q**(-2))**43/(q/q**(-1/6))**(-8/9))**34 assuming q is positive. q**(119374/27) Simplify ((w/(w**(5/3)/w)*w**(-14/3))/(w/((w/(w*(w*w/((w*((w*w/w**(-3))/w)/w*w)/w*w))/w))/w))**(-11))**(-9) assuming w is positive. w**237 Simplify (u**(5/7)/u)/u*u**(6/11)*u*u**2*u**(-2)*(u/(((u/u**(2/7))/u)/u))**(1/10)*((u*(((u*u/u**(-1/2))/u)/u)/u)/u)**(-19) assuming u is positive. u**(7691/770) Simplify (f**0/f)**(-18)/(f**(-1/5)/((f*f**(-4/5))/f*f))*f**(-2/9)/(f/(f/(f/(f*f**6*f))))*(f/(f*f**2))**(8/3) assuming f is positive. f**(893/45) Simplify (z**(-15/8)/(z/z**(2/29)*z))/((z*z/(z*z**21/z))/z**38) assuming z is positive. z**(12341/232) Simplify (((i*i**(2/3))/i)**(2/63))**(9/10)/(i/(i**7*i)*(i*(i/i**(1/2))/i*i)/i*(i**(-5)*i)/((i*(i*i*i**(3/5))/i*i)/i)) assuming i is positive. i**(551/42) Simplify ((c*c**(-2)/c)**(-13)*(c*c*c/(c*c**(-2)/c))**(1/61))/(c**(-2)/(c/(c*c**(-2/11)*c))*((c/c**(-1/2))/c*c)**(-1/4)) assuming c is positive. c**(148365/5368) Simplify (g**(-1/8)/((g/g**(-2))/g))**(-1/8)/((g/g**(-1))**(19/5)*(g*g**2*g)/(g*g**(-1))) assuming g is positive. g**(-3627/320) Simplify (((v/(v**6*v))/(v**4/v))/((v/((v*v**(3/4))/v))/(v*v**7)))/((v**0)**(-47))**(4/9) assuming v is positive. v**(-5/4) Simplify ((z**1)**(-11/3))**(23/2)*((z**(-2/5)/z)/z)/z**(-1/2)*z**(-3)/z**0 assuming z is positive. z**(-706/15) Simplify (((t**1/t)**(-31)/(t*t/(t**1/t*t)*t)**34)**3)**20 assuming t is positive. t**(-4080) Simplify ((x/x**(2/5))/x**2)/(x**(-1/2))**(-19)*(x**(-1/3))**37*(x**(1/10)*x)/x**(-3) assuming x is positive. x**(-287/15) Simplify ((j**(1/2)*j/(j*j**22))/((j*j**(3/7)*j)/j)**42)**(-19) assuming j is positive. j**(3097/2) Simplify (((((h**(-9/5)/h*h)/h)/(h*h*h*h**(-11)*h))**5)**2)**(-33) assuming h is positive. h**(-1386) Simplify (((p/p**(-5))/p)/(p/(p**(-7/2)*p*p*p))*(p*p**(-14))/p**(17/3))**(-5/3) assuming p is positive. p**(455/18) Simplify ((m**(1/7)/m)**(-1/2)/(m**5)**16)**(-1/13) assuming m is positive. m**(557/91) Simplify (((q*q**(1/2)*q)/q)**3)**39*((q**(-1))**9)**(-48) assuming q is positive. q**(1215/2) Simplify ((v**(-1/4))**(4/31)*(v/(v*v**(2/3)))**3)**(-10) assuming v is positive. v**(630/31) Simplify ((y/y**0*y)**(1/5))**(-1/24)/(((y/y**(-1/4))/y**(2/13))/(y**(-1/10)/(y/y**(-6)))) assuming y is positive. y**(-3203/390) Simplify (c**20/(c/(c*c**11))*(c/c**14)/c**(2/17))**8 assuming c is positive. c**(2432/17) Simplify (z**(-2/5)/((z*z**(-5/6)/z)/z*z*z))**(-7/3)*(z*z**(1/3)*z**2/z)/(z**(-2)*z*z*z/z**1*z*z) assuming z is positive. z**(149/90) Simplify (x**(-1)*x*x*x**(2/5)*(x**0/x)/(x**(-3/7)/x))/((x**(-1/3))**(1/3))**(-7) assuming x is positive. x**(331/315) Simplify ((k**(2/5))**27*k**(-8)*((k/(k*k**(-6/11)))/k)/k*k)/(k/k**(2/3)*k*k**(-11)/k)**(6/11) assuming k is positive. k**(449/55) Simplify ((u*u*u**5*u*u**(-1/7))/((u*u**(2/9)*u)/u**(-2/19)))/((u**(2/5)/u**(-1))/(u**6*u**(-2/9))) assuming u is positive. u**(59296/5985) Simplify (j**(-1/18))**(-2/107)/(j**(-21)*j*(j*j*j**27/j*j)/j*j) assuming j is positive. j**(-8666/963) Simplify (s*(s*s**(-34))/s)**(30/13)*(s**(6/17))**(-4/7) assuming s is positive. s**(-118122/1547) Simplify ((c/(c**(3/7)*c)*c*c**(3/7)*((((c*c**(-1))/c)/c)/c)**11)**(-11))**(-3/2) assuming c is positive. c**(-528) Simplify (b**(-2/5)/b*b**15*b**(2/7)/(b/b**(1/20)*b*b))**2 assuming b is positive. b**(1531/70) Simplify (((j*j/(j**10/j))/j)**(-44)/((j/(j/(j/(j/j**23))))/j**19))**(-35) assuming j is positive. j**(-12180) Simplify (((s*s*s*s/(s*s**(1/9)*s))/(s**(-5)/s*s))/(((s/(s*s**5)*s)/s)/s**(-2/5)))/((s/s**(-1/9))/s**1*(s**(-1)*s)**(-11/6)) assuming s is positive. s**(512/45) Simplify (((j/(j*((j/j**(1/3))/j)/j*j))**32/((j*j*j/((j*(j**(-6/13)/j)/j)/j))/(j*((j/(j**11/j*j))/j)/j)))**(-2/25))**(19/3) assuming j is positive. j**(8588/2925) Simplify ((o**1*o*o**(-5))/((o*(o**7*o)/o*o)/o**(-6)))/((o**(1/4))**(-4)/((o*o*o**(-1/2)/o)/o**(-7))) assuming o is positive. o**(-19/2) Simplify (h**(-3/14)*h)/h**28*(h/(h*h*h*h/(h*h**(-42))*h))**(-13) assuming h is positive. h**(7809/14) Simplify (r**(-1/2))**(5/2)*r**5*(r*r**(2/3)*r*r*r)/r*r*r*((r**(2/3)*r)/(r**(-1/3)/r))/(r*r**(-1)*r)**(-42) assuming r is positive. r**(653/12) Simplify ((f*f*f**(-1/3))**(-28))**(-5/4)*f/f**6*(f*f**(-2/13)*f)/f*f*f**(-1)*f**5*f assuming f is positive. f**(2347/39) Simplify (((k**(-7)/k)/k)/(k/(k*k**(-5)*k)))**(-12/11)/((k*k**(-3))/k**(1/5)*(k*k*k/(k/k**(-4)))/k*k**(1/3)) assuming k is positive. k**(3143/165) Simplify (o/(o/(o*o**(-5)/o))*o*o*(o/o**(8/7))/o*(o**(-2))**0)**(-7/2) assuming o is positive. o**(29/2) Simplify ((s**(-15)/(s*s/s**(1/26)))/(s*s**(-2/33))**(-10))**(17/2) assuming s is positive. s**(-110381/1716) Simplify (((l*l/(l*l/(l*l*l**(2/15))*l))/l)**20*l**(-13)*l**(-14))**(-2/3) assuming l is positive. l**(146/9) Simplify ((c*c**(-9/7)*c)**(-14/11)/(c*c**(-2/31)*c)**(-2/41))**(-6) assuming c is positive. c**(68340/13981) Simplify ((((d*d**17/d*d)/d)/(d*d/((d/(d**5/d))/d)*d*d))/(((d/d**(-3/5))/d)/(d/(d/d**(2/39)))))**(19/3) assuming d is positive. d**(31312/585) Simplify ((p**(1/8)*p)/p**5)**15/(((p/(((p/p**(-2))/p)/p))/p)**(-8))**(6/25) assuming p is positive. p**(-12009/200) Simplify ((t*t*t**(11/3)*t)/t**(3/22)*(t**(2/87))**11)**(-20) assuming t is positive. t**(-129830/957) Simplify ((w**(-1)*w)**(10/7)*(w**(-1/4)*w*w)**(-1/6))/((w**4/w*w)/(w**(-2)/w)*(w**(1/4))**(-2/31)) assuming w is positive. w**(-5413/744) Simplify (h**(-2/7))**49*h**(-1/7)/h*h/(h**0/h)*h*(h**(2/7)/h*h**(6/11))/((h*h**2/h*h)/h**(2/9)) assuming h is positive. h**(-10457/693) Simplify (((t**(-3/2)*(t**8*t)/t)/(t*t*t**6*t**8))**(-3))**(6/29) assuming t is positive. t**(171/29) Simplify ((j/j**(1/3))/(j/(j*j**(-1/4)*j)))/((j/(j*j**(-2/11)/j))/(j/j**(-3/4)))*((j/j**(-4)*j)/(j/j**9))**6 assuming j is positive. j**(5675/66) Simplify ((y/y**(-2/21))/y*y*y/(y/(y**(-4)*y)*y))**(-5)*(y/y**1)**25*(y*y/(y*y**(1/3)))**(-23) assuming y is positive. y**(-17/21) Simplify (y*y**(19/3))**13*(y**(1/11)*y)**(-31) assuming y is positive. y**(2030/33) Simplify (((p**(1/17)*p)/p)/(p*p**(2/5))*p**20/(p*p*p/p**(-5)*p))**(4/9) assuming p is positive. p**(3284/765) Simplify (n**6/(n/(n/(n/(n*n**5)))))**45/((n/(n**(-1)/n))**7*((n**(-1/2)/n)/n)**(-4/17)) assuming n is positive. n**(8048/17) Simplify (p/p**26)**(-2/17)*(p**(-2/17))**(10/11) assuming p is positive. p**(530/187) Simplify (y**17/(y*y**10)*(y*((y**(-3/4)/y)/y)/y)**(-18))**15 assuming y is positive. y**(1665/2) Simplify (((r**(-3/10)/(r/r**(2/17)*r))**(2/59))**(-17))**(15/2) assuming r is positive. r**(1113/118) Simplify ((k**(-5)/k)**(-4/35))**48*(k/(k*k**5))/k**5*k**(-5)*(k/k**5)/k assuming k is positive. k**(452/35) Simplify (x**(-2/21)/(x/x**(-1/6)))/(x**(-2/3)*x*x**(-3))*(x*x*x**0/x)**(-1/63)/(x**0)**(-5) assuming x is positive. x**(25/18) Simplify ((h/(h/h**(-
{ "pile_set_name": "DM Mathematics" }
t l(s) = -6*s + 275. Let k be l(45). Solve -5*r + 21 = -k*u + 16, -19 = 4*u + r for u. -4 Suppose 5*m + 2*z - z - 14 = 0, 3*m = z + 2. Let x(o) = 0 - o**3 - 74*o**m - o + 51*o**2 - 3. Let y be x(-23). Solve -2*f = -3*k + 19, f - 2*f - y = -5*k for f. -5 Let v(j) = -j**3 + 130*j**2 - 377*j - 504. Let u be v(127). Solve -5*c = 31 - 11, 4*x = -u*c - 16 for x. 0 Suppose 2*f - 111 = -5*n, 2*f - 1353 + 1356 = n. Solve -8 = 4*i, 4*i - 2 + n = -3*p for p. -3 Let f = -156 + 491. Suppose 2*t = -325 + f. Solve 4 = -4*b + 16, -t*a - 24 = -3*b for a. -3 Let t = 170 + -100. Let c = t + -65. Let g = -62 - -66. Solve -25 = c*w, -l + g + 3 = -w for l. 2 Suppose 88*s = 85*s + 5*m + 37, -s = -2*m - 14. Solve -4 = -2*o - 2*q, -s*o = -q - 16 - 7 for o. 5 Suppose -20*h + 239 = -81. Suppose 4*c - 28 + 38 = -v, 0 = 4*c + h. Solve 5*o + a = -v - 4, -3*o = 5*a + 28 for o. -1 Let l(p) = -p**2 + 41*p - 160. Let t = -618 - -654. Let k be l(t). Solve -v = 5*a + k, 4 = 4*v + 5*a + 24 for v. 0 Let o(a) = a**2 + 49*a - 92. Let g be o(-51). Let d(b) = 2*b + 6. Let f be d(5). Suppose -6*v - f = -g*v. Solve -x + 5*p + 10 = 0, v*x - x - 2*p - 4 = 0 for x. 0 Suppose -2*h = -19 + 15. Suppose -n - 1 - 7 = 4*l, h*l + 6 = 0. Solve n*f + 2*p = 12, -p - 2*p = -5*f - 7 for f. 1 Let s(p) = 3*p + 6 - p**2 - 5*p + 2*p**2 - 3*p. Let q be s(3). Let b = q - -4. Solve 5*d + 20 = 5*g, 4*d - 5*g = -b*g - 1 for d. 1 Suppose 7*n - 48 = 18 + 11. Solve 4*s = 5*a - 24, -2*s = 9*a - n*a + 10 for a. 4 Suppose 2*p = -6*k + 2*k + 10, 0 = -4*k + 2*p + 14. Let d(z) = -z + 8. Let x be d(k). Let o be -3 + 25 - (2 - 2). Solve 3*h = x*q + 11, -q = 4*h - 6 + o for h. -3 Let n be 11 + (6 + 2)*-1. Solve -g - i - 8 = 0, n*g + 26*i = 28*i - 9 for g. -5 Let r be 2*353/(-6)*6/2. Let u = -350 - r. Solve 0 = -4*k - c - 0*c + 18, 2*k - u*c = 2 for k. 4 Let r(u) = -1197*u - 177. Let a be r(-1). Solve -w + 5*v - a + 995 = 0, -4*w - 25 = -5*v for w. 0 Suppose 2*c = -t + 7 + 4, -3*t = -4*c - 3. Suppose -60*h - 139*h - 198 = -1392. Solve 0 = 3*a - c*l + 3, 2*a = -l - 5 - h for a. -4 Let z = 486 + -405. Suppose -61*f = -z*f + 80. Solve -2*p = -5*h + 4, f*p - 4 = 5*h - h for h. 2 Suppose -42*s + 43*s + 28 = 0. Let l be 6/(-12) - s/8. Solve -h + l = j - 2, -5*h + 9 = -3*j for h. 3 Let t(h) = -h**3 - 4*h**2 - 18*h - 13. Let w be t(-1). Solve -2*m - 31*k + 32*k = -2, 0 = -w*m + 5*k + 10 for m. 0 Let b be (-2 + 3)/(10 + (-2640)/156 + 7). Solve 4*p - 26*j = -21*j - b, 2*j - 4 = p for p. -2 Suppose 15 = 7*d - 2*d. Let q(j) = 61*j + 674. Let h be q(-11). Let m(a) = 2*a + 16. Let k be m(-7). Solve -k - 1 = d*l - 4*r, -h*l = 4*r + 27 for l. -5 Suppose 0 = -3*h + 2*t, 79*t = -4*h + 77*t + 14. Solve -5*k - h*r + 15 = 0, -6*k + 22 = -4*k + 4*r for k. 1 Suppose 0 = 53*b - 41*b. Let f be ((-108)/(-30) + b)*10/3. Solve 3*k = -f, k = -3*q - k - 5 for q. 1 Let t(v) = -17*v + 2254. Let a be t(132). Solve -2*h + 14 = 2*p, -4*p = -5*h - 0*h - a for h. 2 Let s = -8085 + 8087. Solve -4*k + 22 = -s*i - 10, 4*i + 10 = -k for i. -4 Suppose 0 = -3*u + 3*k - 81, -3*k - 6 = -5*k. Let y(w) = 5*w + 125. Let s be y(u). Solve -g + s*o = 2*o + 17, 5 = 5*g + 3*o for g. -2 Let p = -28630 - -28636. Let q be 14/6 - 1/3. Solve 5*h - 2*n - 1 = 0, q*n = -0*n - p for h. -1 Suppose 8*m = 38 + 42. Suppose 11*p - m - 45 = 0. Solve -p*d + 4*j = -25 + 2, -d + 4*j = -11 for d. 3 Let u(z) be the first derivative of -z**2/2 - 4*z + 1. Let i = -2224 - -2214. Let r be u(i). Solve -3*k + 3*g = -r, 2*k = -g + 1 - 12 for k. -3 Suppose 0 = 8*u - 61 + 37. Solve 5*s - u*t = -10, -7*t + 4*t = 2*s + 25 for s. -5 Let o(d) = 2*d**2 - 43*d + 51. Let l be o(21). Suppose 88 = l*m + 28. Solve -3*v - 28 = 5*w, -4*w - 15 = -3*v - m*v for w. -5 Let u(f) = 28*f - 557. Let z be u(20). Solve 0 = 4*m - z*r - r + 12, -4*m - 3*r + 9 = 0 for m. 0 Let v(f) = 28*f - 79*f + 26*f - 22 + 22*f. Let a be v(-9). Solve p = 4*n - 2, -5*p - 4 - 6 = -a*n for n. 0 Let i = -249 - -477. Suppose 0 = 6*x - i + 198. Solve -u - 4 = -x*d - 32, -d = -3*u + 14 for u. 3 Let d(p) = p**3 - 13*p**2 + 5*p - 10. Let k be d(12). Let r(u) = -90*u**3 + 4*u - 3. Let n be r(1). Let q = n - k. Solve -q*a + 4*l + 2 = l, -3*l = a - 4 for a. 1 Let b = 275 + -189. Let j = b + -82. Suppose -4*f - m = 3*m + 8, 0 = f - 3*m - 14. Solve 0 = f*z - 2, 3*z = j*x + 19 for x. -4 Let l be 4 - 2*(2 + -1). Let s(u) = -u**2 + 31*u - 35. Let m be s(30). Let w be 4/((5 - m)/5). Solve l*v + 3*v = -z + 2, 5*v + w = z for v. 0 Suppose 0 = 5*m + 2*h - 81, h - 84 = -5*m - 2*h. Solve 5*j + m = -3*u, 0 + 15 = -2*u - 5*j for u. 0 Let l = 58 + -38. Let c(w) = 2*w - 32. Let r be c(16). Suppose 24*k - 8*k - 48 = r. Solve 3*f + l = -i, -2*f + 4 = -k*i - 1 for i. -5 Let a = 15647 + -15647. Solve a = i - w - 7, -6*i - 3*w = -i + 5 for i. 2 Suppose 13 = 5*z - 12. Let v(r) = 18*r - 82. Let l be v(z). Solve l*b = 4*u + 3*b + 6, 0 = -4*u - 3*b - 22 for u. -4 Suppose 137*n - 255 + 39 = 29*n. Solve -4*b = -4*j - 13 - 15, -n*j + 36 = 8*b for j. -2 Suppose -57*g = 104*g + 18*g - 3580. Solve -g = -0*s + 4*s, -3*r + 3*s = -18 for r. 1 Let i(z) = z**2 - 8*z + 63. Let s be i(0). Suppose -s*p + 54*p = -225. Solve -17 + 2 = 2*o + j, 0 = -o - 4*j - p for o. -5 Let z = -41 + 193. Let d be (z/(-20) - -6)/((-4)/(-10)). Let h be d/(-48)*27 + (-1)/4. Solve 5*f + 12 = -2*w + h, 2*f - 10 = 2*w for f. 0 Let f(r) = r**3 - 5*r**2 + 3*r - 7. Let h be (2/5)/(24/300). Let t be f(h). Let k = -143 + 146. Solve 2*c - t = k*o, 2*c = 3*o + 2*o + 16 for c. -2 Let z(i) = 31*i**3 - i + 1. Let c be z(1). Suppose c = 3*m - 5. Let x = -240 - -244. Solve -m = -4*b - x*t, 4*b + 5*t = -0*b + 15 for b. 0 Suppose -970*q + 16 = -962*q. Let o(r) = r**2 + r - 4. Let b be o(2). Solve 5*d = -25, q*m + d = 3 + b for m. 5 Let l be 1 - -6 - 12/2. Let a be (7 - 0) + 14/(-7) + l. Solve 2*y + 21 = -5*x, -3*x - y + 2*y - a = 0 for x. -3 Let o(n) = -8*n + 52. Let z(g) = -10*g + 51. Let y(t) = 6*o(t) - 5*z(t). Let f be y(-24). Solve -3*r = -2*u - 17, -4*r - f = 5*u - 1 for r. 3 Suppose -2*t + j + 37 = 0, -4*t + 596*j + 65 = 597*j. Solve x = 2*u - 13, -u = t*x - 16*x + 1 for x. -5 Let o be ((-135)/(-25))/(3/10). Suppose -17*w = -o*w + 7. Suppose -4*h = w*h - 22. Solve -2*g - h = -s - 9, 4*s - 12 = 0 for g. 5 Let z(j) = -j**2 + 25*j + 26. Let f be z(26). Solve 5*m - 30 = -6*i + i, -2*i - m + 10 = f for i. 4 Let y(i) = i**2 + 127*i + 4030. Let w be y(-66). Let n = -7 + 9. Solve -z + 2*z = -n*v + 7, 0 = 4*v - w*z - 20 for v. 4 Suppose 136 = -15*y + 11*y. Let v = 43 + y. Suppose -4*o - 2*s = s - v, -5*s = -3*o + 14. Solve -3*l = -n - 4*l - 8, -2*l - 1 = -o*n for n. -3 Suppose 4*v - 128 = 4*k, -88 = -3*v - 0*k - k. Suppose 11*g = 5*g - v. Let o be (-14)/g + (-2)/(-10). Solve -o*q - 2*u = -25, -q + 2*u - 5 = -0*u for q. 5 Let p(u) = u. Let h(g) = -4*g + 7. Let d(w) = -h(w) - 3*p(w). Let n be d(12). Suppose 0 = n*r - r. Solve -3*f + 26 = -r*q + 5*q, -4 = -q for f. 2 Let k be (11/(33/18))/2. Suppose -3*s - 5*h + 690 = 0, -181 = k*s - 2*h - 871. Let g be (-5)/15 + (s/6 - 1). Solve 3*m - 3*l = -2*m - g, 2*l - 8 = 0 for m. -5 Let t be (45/(-4))/(3/(-12)). Suppose -24 = y + t. Let o = -65 - y. Solve -4*z + k = -5, -2*k - 8 = -o*z + 2*k for z. 1 Let b = 44 - 71. Let x(f) = f**2 + 27*f + 2. Let h be x(b). Suppose 2*w + 36 = 2*a, -92 = -3*a + 2*w - 38. Solve h*y - a = 4*n + n, -4*y + 2*n = -20 for y. 4 Let s = -12768 - -12785. Solve -3*u + 4*w - 1 = s, -5*w + 13 = u for u. -2 Suppose -2*n = -42*u + 44*u + 8, -40 = n + 5*u. Suppose 5*s + y = 100, 2*s - y - 36 = 11. Solve z = -4*p + 14, n*p + 6 - s = 0 for z. 2 Let w(i) = 55*i - 1152. Let g be w(21). Solve -c - 2 = 0, -g*c + 14 = -2*a - 8*c for a. -2 Let t = 21684 - 21666. Solve t = -4*r - h, 3*h + 2 = -3*r + 8*h for r. -4 Let t(m) = 7*m**2 - m - 2. Let q be t(-1). Suppose -2*n + 22 = 4*p, -q*n - 3*p + 33 = -3*n. Solve 4*o = g - n, -o - 2*o = 2*g for o. -2 Suppose 8*c + 460 = 31*c. Suppose -2*x = 2*d + 4 - c, -3*x + 48 = 5*d. Solve -d = 4*y, 4*z + 3*y + 12 = -y for z. 0 Let m(s) = -2*s**3 + 91*s**2 - 890*s - 375. Let u be m(15). Let v = -4 - -10. Solve -d - 3*d = -t - v, 3*d - 3 = u for t. -2 Suppose 10*x + x = 2*x + 27. Solve 11 = 5*z + 2*a - 4, -x*a = 4*z - 19 for z. 1 Suppose 0 = -3*n - 4*l + 457, -4*l - 84 = -76. Solve 2*i + 152*p = n*p + 17, i + p = -4 for i. 1 Suppose -10*f - 28 =
{ "pile_set_name": "DM Mathematics" }
3)*(-g + 0 + 0) + 3*g + 0*g - 5*g. -38*g Expand -l**3 + 7*l**3 + 5*l**3 + (-l**2 - 3*l**2 + 6*l**2)*(-2*l - 1 + 1). 7*l**3 Expand (22*z + 34*z - 9*z)*(0*z**4 + z**4 - 2*z**4). -47*z**5 Expand (2 - 2 + 2*x**2 + (x**2 - 2*x + 2*x)*(5 - 4 + 0))*(3 - 3 - 3*x). -9*x**3 Expand 6*u + 7*u - u + u + 3 - 3 + (2 + 2 - 3)*(0*u + 3*u - 5*u) - 2*u + 4 - 4. 9*u Expand (-1 + 2 + 0)*(-2*h + h + 0*h + 0*h - 2*h + 3*h + 0*h - h + 3*h + (0*h - h + 2*h)*(0 - 2 + 0) + 1 - 1 + h). h Expand -4*v**5 + 3*v**5 + 3*v**5 + (-3 - 2*v + 3)*(5*v**4 + v**4 + 0*v**4). -10*v**5 Expand (3 + 0 - 1)*(5*y - 4*y - y**2 + 3*y**2). 4*y**2 + 2*y Expand (-3 - 2 + 4)*(2*g - g + 4*g + 1). -5*g - 1 Expand (-5 + 3 + 0)*(-2 - 5 + 4)*(1 + 0 + 0)*(-i**3 + i**3 + 2*i**3). 12*i**3 Expand ((2*t + 0*t + t)*(-2 + 1 - 3) + 0*t + t + 2*t)*(7 - 2 - 2). -27*t Expand (-2 + 2 - 2)*(-3*p + 0*p + p)*(0*p - 13*p - 4*p). -68*p**2 Expand (3*z**2 - 6*z**2 + z**2)*(-2 + 2 + 3). -6*z**2 Expand (-h - 1 + 1)*((-2*h + 4*h - 3*h)*(3*h + 3*h - 4*h) - 2*h + 2*h - h**2 + (-1 + 1 + 2*h)*(h - 1 + 1) + 3*h**2 + 5*h**2 - 5*h**2). -2*h**3 Expand ((-4 + 0 + 2)*(-3*n - n + 2*n) - 3*n - n + 3*n - 1 + 1 + n - 8*n + 4*n - 6*n)*(3 - 2 - 3) + (0 - 1 + 3)*(-3*n + 5*n - 3*n). 10*n Expand -3*g**5 + 0*g**4 + 0*g**4 + (-1 + 1 + g**4)*(2 - 2 + 8*g). 5*g**5 Expand (0 - 2 + 3 + (2 + 4 + 3)*(0 - 5 + 3))*(0*o + 3*o - 5*o). 34*o Expand (1 - 3*q + 2 - 2)*(-1 - 4 - 1). 18*q - 6 Expand (-2 + 2 + 5*h)*(h**4 - 2*h**2 + 2 - 2). 5*h**5 - 10*h**3 Expand (5 - 4 - 3)*(0*g - 4*g - g). 10*g Expand 2*y**5 + 2*y**5 - 5*y**5 + (1 - 1 + 4)*(1 - 2*y**5 - 1). -9*y**5 Expand (-14 - g + 7 + 9)*(-4*g - 4*g + 4*g). 4*g**2 - 8*g Expand (-6*k**4 + 4*k**4 + 4*k**4)*(0*k + 0*k - 2*k) + k**5 + 0*k**5 + k**5 + k**5 - k**5 - 2*k**5 + (3*k**4 + 0 + 0)*(3*k - k - 6*k). -16*k**5 Expand (-2 + 1 + 0 + (1 + 0 - 2)*(2 - 3 - 1) - 1 - 1 + 4 + 1 + 1 - 1)*(d**4 - 21*d**3 + 21*d**3). 4*d**4 Expand (36*f - f + 0*f)*(0*f + f + 0*f). 35*f**2 Expand (6*k**2 - 2*k**2 - 6*k**2 + (-k**2 + 3*k**2 - k**2)*(2 - 1 - 2) + 3*k**2 - 6*k**2 + k**2 + 4*k**2 - 2*k**2 - k**2)*(-2*k + k - 2*k). 12*k**3 Expand (-1 + b + 1)*(6*b + 37 - 70 + 43). 6*b**2 + 10*b Expand (-1 - 3 + 3)*(2*m - 2*m + 3*m) + 3*m + 5*m - m + 3*m - m - m + 0 + 0 + m + (m - m + 2*m)*(-1 + 2 - 3) + 2*m + 2*m - 3*m. 3*m Expand -x**4 - x**4 + 0*x**4 + (3*x + x - 3*x)*(-4*x**3 + x**3 + 2*x**3) + 2*x**4 - 4*x**4 + 0*x**4 - 4*x**4 + 3*x**4 - x**4 - 6*x**4 + 2*x**4 + 6*x**4. -5*x**4 Expand (-2*i**2 + 2*i**2 - 2*i**2)*(-2 + 3 - 2) + 8*i**2 + 19*i - 4*i**2 - 2*i**2. 4*i**2 + 19*i Expand (-7*c + 2*c + 2*c)*(3*c**3 - 2*c**3 + 0*c**3)*(-c + 2*c + 0*c). -3*c**5 Expand (-4*r + 3*r + 2*r)*(2*r - 3*r + 2*r) - 3*r**2 + r**2 + r**2 + (3*r - r - 3*r)*(-3*r - r + 5*r). -r**2 Expand (-14*w**2 + 14*w**2 - 7*w**3)*(-4*w + 2*w + 5*w). -21*w**4 Expand (4*g - 5*g - 2*g)*(-g - 4 + 4)*(g - g + 2*g). 6*g**3 Expand (-4 - 2*u + 4)*(8 + 0 - 3)*(2*u - u - 2*u). 10*u**2 Expand 6*p**5 - 2*p**5 + 4*p**5 - 3*p**3 + (4 - 2 + 2)*(-p**5 + 0 + 0). 4*p**5 - 3*p**3 Expand (5*t - 11*t - 2 - 24*t)*(0 + 0 + 1). -30*t - 2 Expand (h**3 - h**3 + 3*h**3)*(3 - 2*h - 3)*(2*h + 1 - 1) + h**5 - 2*h**5 - h**5. -14*h**5 Expand (1 - 9 + 19)*(-2 - 4 + 4)*(2*c - 3*c + 0*c). 22*c Expand -5*z + 3*z + 7*z + z - z - z + (-2 + 2*z + 2)*(-3 + 1 + 4) + 8*z + z + 0*z - 2. 17*z - 2 Expand (261*l + 1 - 261*l + 2*l**2)*(l - l - l**3). -2*l**5 - l**3 Expand -4*f**2 + 3*f**2 - 2*f**2 + (-5*f**2 + 2*f**2 + 5*f**2)*(3 - 3 - 1) - 2*f**2 + 0 + 0 + 3*f**2 + f**2 - 5*f**2. -8*f**2 Expand 2*g - 4*g + 0*g + (4*g - 3*g - 3*g)*(-1 - 3 + 2). 2*g Expand 9*f**3 + 2*f**5 - 9*f**3 + (2*f**2 + 3*f**2 - 4*f**2)*(-2*f**3 - f**3 + 2*f**3). f**5 Expand -y**3 + 3*y**3 + 0*y**3 + 0*y**3 - 2*y**3 + 0*y**3 + (2*y**3 - 3 + 3)*(-4 - 3 + 6) - 3 - 4*y**3 + 3. -6*y**3 Expand 2*m**3 + 2*m**3 - 8*m**3 + 0*m**3 + m**3 - 2*m**3 + (-2*m**2 + 2*m**2 - 2*m**3)*(1 + 1 - 1) + (3*m - 5*m + 3*m)*(2*m**2 - 1 + 1). -5*m**3 Expand (3*t - 4*t + 2*t)*(-t + 5*t - 3*t) + t**2 - 6*t + 6*t + 4 - t**2 - 4. t**2 Expand (-h - 5 + 4 - 4 + 2*h**2)*(-2*h + 6*h - 3*h). 2*h**3 - h**2 - 5*h Expand (0 + 0 - t)*(1 - 1 + 2*t) + 3*t**2 - 4*t**2 - 2*t**2 - 2*t**2 + 3 - 3 + (1 + 3 - 2)*(0*t**2 + 0*t**2 - t**2) + t**2 - t**2 + t**2. -8*t**2 Expand (-2 - 2 + 2)*(-4*z**2 - 2*z**2 + 4*z**2). 4*z**2 Expand -4*t + t + t + (-3 - 3 + 7)*(4*t - 7*t + 2*t) - t - 4*t - 2 + t. -7*t - 2 Expand (4 + y**2 - 4)*(-y**2 + y**2 + 2*y**2) + y**4 - 2*y**4 - 4*y**4. -3*y**4 Expand (3 - n - 3)*(0*n + 9*n + 2*n). -11*n**2 Expand (-2*o**2 - o**2 + o**2)*(o + o - 2 + 1)*(4 + 7 + 7). -72*o**3 + 36*o**2 Expand (-17*y**3 + 8*y**3 + 8*y**3)*(-2*y**2 - 3 + 3). 2*y**5 Expand (0*b + 20 - 21 - 2*b)*(-4*b**2 + 9*b**2 - 13*b**2). 16*b**3 + 8*b**2 Expand (-2 + 3 - 2*r - 3)*(-2 - 2 + 5 + 4*r). -8*r**2 - 10*r - 2 Expand 2*o - 2*o + o**4 + (-3*o**2 + 2*o**2 + 2*o**2)*(2*o**2 - o**2 + o**2) - 3*o**4 + 3*o**4 + 3*o**4 + (-1 + 0 - 1)*(-o**4 - 2*o**4 + 0*o**4). 12*o**4 Expand 3*z + 2 - 2 + (3*z + 1 - 1)*(-3 + 2 - 2). -6*z Expand (-b + 1 - 1)*(3*b**2 + 2*b - 2*b) - b**3 - 6*b**3 + 5*b**3. -5*b**3 Expand (6*a - 7 + 0 - 5*a)*(-31 + 3*a + 31). 3*a**2 - 21*a Expand -4*v**4 + 5*v**4 + 4*v**4 + (4*v**4 - v**4 + 0*v**4)*(3 - 5 + 0 + 1 + 0 - 2 + 4 - 3 + 0 + (0 - 1 + 0)*(1 - 3 + 1) - 6 + 3 + 4 + 6 - 2 - 2). 11*v**4 Expand (9 - 13 + 6)*(-4*o + 3*o + 2*o)*(2*o**2 + 0*o**2 + o**2). 6*o**3 Expand (4*h + 2*h - 4*h)*(16 - 21 + 15)*(-3*h - h + 3*h). -20*h**2 Expand 0*x + 0*x - x**5 + 2 - 2 - x**5 + (-2*x**2 + 2*x**2 + 2*x**4)*(-2*x + 0*x + 4*x) + (-x + 2 - 2)*(10*x**2 - 10*x**2 + 6*x**4). -4*x**5 Expand (-l**2 + l**2 - l**2 + (-4 + 2*l + 4)*(5 - 5 + 2*l) + 4*l**2 - l**2 - 4*l**2)*(5 + 4*l**3 - 5). 8*l**5 Expand (0*y**2 + 0*y**2 + 2*y**3)*(-13*y + 13*y + 11*y**2). 22*y**5 Expand (5*d - 6*d + 3*d)*(3*d - 3*d - 6*d). -12*d**2 Expand (3 - 4 + 4)*(0*g + 2*g - 4*g + 7*g**2). 21*g**2 - 6*g Expand (-o**4 - 32*o**2 + 32*o**2)*(3 - 6 + 2 - 2 + 0 + 4 + 0 + 0 - 1 + (3 + 0 - 1)*(-2 - 3 + 4) - 5 + 0 + 4). 3*o**4 Expand (3 + 3*y - 3)*(-2 + 5 + 3). 18*y Expand (-2*d**2 + 1 - 1)*(d**3 - d**3 + 4*d**3) + 0*d**5 + 7*d**5 - d**5. -2*d**5 Expand -68*p**2 + 68*p**2 + 3*p**3 + 5 + (-2 + p + 2)*(-p**2 + 3*p**2 - 3*p**2). 2*p**3 + 5 Expand (2*s**2 - 2 + 2)*(-13*s + 8 - 4 - 7). -26*s**3 - 6*s**2 Expand (d - 2*d + 2*d)*(19*d + 7 - 7) + 2*d**2 - d**2 + d**2. 21*d**2 Expand -2*l**5 + 2*l**5 + l**5 + 22*l**5 - 20*l + 20*l + 4*l**3 - 4*l**3 - l**5 + (0*l + 0*l - l)*(3*l**4 - 4*l**4 + 2*l**4). 21*l**5 Expand (-14 + 14 + b)*(3*b**3 + 2*b**2 + b**3 - 2*b**3 + (2*b - 3*b + 4*b)*(b**2 + b - b) + b**3 - 5*b**3 + 2*b**3). 3*b**4 + 2*b**3 Expand (-9*s - 16*s - 173 + 174)*(2*s**3 + 3*s**3 - 3*s**3). -50*s**4 + 2*s**3 Expand (3*r - 2*r + 0*r)*(5 - 4 - 2)*(-2*r**2 + 49*r**3 - 49*r**3 + 2*r**4). -2*r**5 + 2*r**3 Expand j**3 - 2*j**3 - j**3 - j**3 + j**3 - 7*j**3 + (2*j - 3*j + 2*j)*(j**2 - 2*j + 2*j) + 0*j**2 + 4*j**3 + 0*j**2 + j**3 + 2 - 2 - j**3 + j**2 - j**2. -4*j**3 Expand (3 - 3 - 2*s)*(2*s**3 + 0*s + 0*s) + (-1 + 3 - 4)*(-58 + 58 + 29*s**4). -62*s**4 Expand (-l + 4 - 2 + 0*l)*(-19*l**4 + 7*l**4 - 2*l**4). 14*l**5 - 28*l**4 Expand (1 - 1 + 2*a**3)*(-5*a**2 + 2*a**2 + 2*a**2) - 3*a**5 - 2*a**5 + 3*a**5 + 2*a**5 - 10*a**5 - 3*a**5 + (4*a**5 - 3*a**5 + a**5)*(1 - 1 + 1). -13*a**5 Expand 2*p - p - 2*p + (-2 - 2*p + 2)*(3 + 0 - 4) + 0*p + 2*p - p - 2*p + 2*p + 2*p + (-1 + 1 - 7)*(-1 + p + 1). -3*p Expand (-2*t + t**2 + 2*t)*(-3*t + 6*t + 0*t)*(-4 - 7 - 1)*(-2 + t + 2). -36*t**4 Expand -3*k**4 + 3*k**3 - 3*k**3 - 2*k**2 + (k**2 + 0*k**2 + 0*k**2)*(-2*k**2 - 2*k**2 + 3*k**2). -4*k**4 - 2*k**2 Expand (d**4 - 4*d**4 - 3*d**4)*(-2 + 5 + 0) + d**4 - 5*d**4 + 3*d**4. -19*d**4 Expand 42*c**3 - 42*c**3 - 21*c**4 + c**3 - c**3 + 2*c**4 + 2*c**4 + c - c - 5*c**4 + 4*c**4 - c**4 + (6 - 1 - 4)*(-5 + c**4 + 5). -18*c**4 Expand (10*p - 8*p + 132*p)*(-2 + 1 + 2). 134*p Expand -6*f**5 + 2*f**5 + f**5 + (5*f**5 - 3*f**5 - f**5)*(0 - 3 + 0) - f**5 - 3*f**4 + 3*f**4 + (2*f**3 + 2*f**3 - 3*f**3)*(f**2 + 0*f**2 + f**2). -5*f**5 Expand (0 + 2*k + k - 4)*(2*k + 2*k - 5*k). -3*k**2 + 4*k Expand -11*h**4 + 7*h + 24*h**4 - 11*h**4 + (1 + 1 + 0)*(0*h**4 + 2*h**4 - h**4). 4*h**4 + 7*h Expand (-4*t + 3*t - t)*(-2 + 1 + 2) + (6*t + 0*t - 3*t)*(-2 - 1 + 1) + (-2 + 2 + 2)*(4*t + 0*t - 2*t) + 3
{ "pile_set_name": "DM Mathematics" }
ird derivative of y**4/24 + 5*y**3/3 - y**2. Suppose -5*n = t + 19, 7 + 32 = -3*n + 4*t. Determine p(n). 5 Suppose 0 = 2*h + 2, g - 3*h - 22 = -0. Let b(c) = -2*c + 16 + g - 33 + c**3 + 3*c**2. Give b(-4). -6 Suppose 5*y - 5*x - 530 = 0, -4*y + 4*x = 3*x - 421. Let j(q) = -y - 2*q + 106 - 2*q + 5*q. Determine j(-6). -5 Suppose -34 = 120*p - 154. Let r(v) be the first derivative of v**5/120 - v**4/24 + v**3/3 - 1. Let q(s) be the third derivative of r(s). What is q(p)? 0 Let m(l) = -2*l. Let s be -4 + 3 + 2 + -1. Let n(f) = -2*f**2 - 4. Let b be n(s). What is m(b)? 8 Let y(r) = -9*r**3 + 3 - 14*r**3 + 22*r**3 - 7*r**2. Calculate y(-3). -33 Let r(v) = v**2 - 8*v + 5. Let c = -81 - -117. Let i = 42 - c. Determine r(i). -7 Let c(i) = -i + 5. Suppose r + 6 = -2*r + 3*k, -3*r - 2*k = 11. Let d(o) = o**2 - 5. Let x be d(r). Calculate c(x). 1 Let y(x) = -2*x**2 - 25*x - 6. Let w = -665 + 653. Give y(w). 6 Suppose 28 - 25 = t. Let s(d) = -t*d + 4*d - 2 + 0*d. Let u = -6 + 0. What is s(u)? -8 Let a(r) be the second derivative of 5*r**4/12 + r**3/6 - r**2/2 + r. Let f = -68 - -69. Calculate a(f). 5 Let x(q) = -13*q**2 + 25*q - 25. Let r(v) be the third derivative of 7*v**5/60 - 13*v**4/24 + 13*v**3/6 + 34*v**2. Let n(h) = -11*r(h) - 6*x(h). Give n(6). 1 Let u(k) = k**3 + 3*k**2 + k. Suppose 5*c + 3 + 7 = 0. Let n be u(c). Suppose -n*g = g - 9. Let s(p) = 2*p**2 - 3*p - 1. What is s(g)? 8 Let h(s) = -s + 4. Suppose 0 = 4*u - 5*f + 47, 5*u + 1 = 3*u - 5*f. Calculate h(u). 12 Let x(p) be the first derivative of -p**4/4 - 5*p**3/3 + 3*p**2 - 6*p + 1. Let b(t) = 2*t**2 - 6*t - 1. Let o be b(3). Let k be 1/2*(-3 + 15)*o. What is x(k)? -6 Suppose 0 = -2*m + 5*a + 19, -6 = -5*m + 2*a + 10. Let y be m/(-2) - -3 - -2. Let c(p) be the first derivative of p**3/3 - p**2 - 25. Give c(y). 8 Let n(f) = 16*f**3 - 11*f**3 - 3*f**3 - 13*f**2 + 1 - 2 + 7*f. Determine n(6). 5 Let w(u) = 6*u**2 + 14*u - 49. Let f(r) = 5*r**2 + 14*r - 48. Let z(j) = -5*f(j) + 4*w(j). Let i be z(-17). Let y(d) = d**2 + 7*d + 1. Give y(i). 1 Let l(o) = -19*o + 451. Let d be l(25). Let m(v) = v**3 + 25*v**2 + 25*v + 31. Determine m(d). 7 Let o(w) = -4*w**3 - 4*w**2 - 2*w + 1. Let n = 204 + -206. Determine o(n). 21 Let o be 135/108 - 125/20. Let x(s) be the first derivative of -s**3/3 - 2*s**2 - 6*s + 2. What is x(o)? -11 Let i be 1/((-9)/(-21)) + 3/(-9). Let y(s) be the first derivative of 10 - i*s**3 - 8*s - s**2 - 1/4*s**4. What is y(-6)? 4 Suppose 3*d + 0*d = 33. Let u(z) = 4 - 1 - 7 + z + 0 - 6. Determine u(d). 1 Let q(l) = l**3 - 3*l**2 - 2*l - 1. Let z(w) = -3*w**3 + 9*w**2 + 6*w + 3. Let b(f) = -11*q(f) - 4*z(f). Let m be (-6)/(-1) + -6 + 1*4. What is b(m)? 7 Suppose 11 = -3*k + 2*y, 5*k = -4*y + y + 7. Let n be (k - 0)*0/(-2). Let t(i) = i**3 + i**2 - i - 18. Give t(n). -18 Let b = -102 + 99. Let f(a) = -a**2 + 7*a - 1. Let s(z) = z**2 - 8*z + 2. Let d(y) = b*s(y) - 4*f(y). Calculate d(5). 3 Let g be (2/(-3))/(1/(-3)). Let j(i) = i**2 - 7*i + 13. Let r be j(3). Let c(t) = 350*t - 347*t + r - 3. What is c(g)? 4 Let p(q) = 17*q**2 - 15*q + 27. Let s(x) = 12*x**2 - 10*x + 18. Let k(v) = 5*p(v) - 7*s(v). Let i = 3 + 3. What is k(i)? 15 Let c(k) = 13 + 14 + 10*k + 73. Let z(n) = -n - 9. Let u(h) = -4*c(h) - 45*z(h). Calculate u(-4). -15 Let s(b) = -b - 7. Suppose -4*i + 24 + 8 = 4*w, 4*w = 5*i - 4. Let k be 2/w - 225/30. Calculate s(k). 0 Let b(n) = -3*n**3 - 2*n**2 + n. Suppose 0 = 4*r + 38 - 90. Let v = 11 - r. Determine b(v). 14 Let r = 42 - 37. Suppose -r*x = 3 - 18. Let y(t) = 3 + 5*t**2 + 1 + 0*t - 8*t - 4*t**2. Determine y(x). -11 Let p(b) = -4*b + 2*b - 2*b - 3*b + 5*b + 13. What is p(9)? -5 Suppose 2*o = q + 2, 22 = q - 4*q - 2*o. Let s(g) = 4*g + 8. Calculate s(q). -16 Let a be 9/((-189)/35)*(-1 + 4). Let c = 1 + a. Let g(w) = -w**3 - 6*w**2 - 4*w + 5. What is g(c)? -11 Suppose 9 = 3*h - 3*o, -5*o - 11 - 4 = -2*h. Let f(k) = -4*k - 6. Let p(x) be the first derivative of -x**2/2 - x + 37. Let u(g) = f(g) - 3*p(g). Give u(h). -3 Let s(a) be the second derivative of a**3/6 - 8*a**2 - 4*a + 16. Give s(10). -6 Suppose -105*j - 12 = -99*j. Let m(r) = -3*r**3 + 3*r + 3. Calculate m(j). 21 Let m(x) = x**3 + 5*x**2 + x - 10. Let k be m(-3). Let l(o) = -o**2 + 4*o + 7. What is l(k)? 2 Let x(h) = h**2 + 5*h + 5. Suppose -2*n + 0*g = 2*g - 2, -4*n - g + 16 = 0. Suppose 26 = -2*v + 2*d + 6, 0 = n*v - 2*d + 38. What is x(v)? 11 Let g = -235 + 227. Let d(b) = 2*b**2 + 9*b - 1. Calculate d(g). 55 Let i(w) = w**2 - 7*w - 2. Suppose -3*x = -88*x + 765. What is i(x)? 16 Let w(v) be the second derivative of -v**5/20 - v**4/2 - v**3/2 + 3*v**2/2 - v. Let c be (-13 + -2)*(-4*4/24)/(-2). Determine w(c). -7 Let z = 446 - 306. Let q(s) = -51*s + z*s + 4 - 43*s - 45*s. Give q(-4). 0 Let w(v) be the second derivative of v**6/120 - v**5/10 - v**4/24 - v**3/6 - 7*v**2/2 + 13*v. Let n(j) be the first derivative of w(j). What is n(6)? -7 Let x(r) = -2*r**2 + 10*r + 96. Let j be x(-5). Let a(k) = 2*k**2 + 9*k - 4. What is a(j)? -8 Suppose 0 = -4*q - 2*j + 24, j = -2*q + 4*j + 12. Let g be 0 - 8 - (2 + -6). Let m(y) = 2*y + 1. Let h(a) = a. Let w(d) = g*m(d) + 6*h(d). Determine w(q). -16 Let q(w) be the first derivative of w**2/2 + 10*w - 75. Calculate q(4). 14 Suppose -6*y - y - 14 = 0. Let z(s) = 5*s**3 + 4*s**2 - 7*s + 1. Let f(q) = 6*q**3 + 5*q**2 - 8*q + 2. Let x(r) = -4*f(r) + 5*z(r). Calculate x(y). -5 Let k(b) = -b**3 - 5*b**2 - 8*b - 3. Let p be (-16)/3 - 732/(-549). Give k(p). 13 Suppose 4*o - 2 = 5*o - 3*n, 3*n = -2*o + 14. Let q(h) = -o*h**2 + 5*h + 4*h**2 - 7*h**2 + 11 + h**3 - 16*h. Calculate q(8). -13 Let v be (-1 + 2/8)*16/(-4). Let r(b) = 3*b**2 - 10*b**2 - 7*b**v + 6*b**2 - b. Calculate r(-1). 7 Let v(l) be the first derivative of l**6/72 + l**5/120 - l**4/24 + 5*l**3/3 + 1. Let s(p) be the third derivative of v(p). Let w = -41 + 42. Calculate s(w). 5 Let i(w) = 6*w + 10. Let y = -709 + 705. What is i(y)? -14 Let s be (-2)/12 - 385/66. Let v(h) = -h**3 - 6*h**2 - 2*h - 3. Give v(s). 9 Let s(m) = -2*m**2 + 1. Let x(c) = 7*c**2 - 10*c - 16. Let r(i) = 5*i + 54. Let k be r(-10). Let g(f) = k*s(f) + x(f). Let b be (1/(-3) - 1)*6. What is g(b)? 4 Suppose i = 4*d - 8, 3*d + 0 - 1 = 2*i. Let q(o) = -2*o**2 - 8*o. Let b(c) = -3*c**2 - 9*c + 1. Let f(g) = -3*b(g) + 4*q(g). Determine f(i). -7 Suppose 4*j + 8 = 5*v, 8*v + j = 3*v - 2. Suppose -12*n + 20*n - 64 = v. Let y(d) = d**2 - 8*d - 6. What is y(n)? -6 Suppose -2 = 12*t - 50. Let m be 16/t + -4 - (5 - 3). Let n(p) be the first derivative of -3*p**2/2 - p + 2. Calculate n(m). 5 Let z(c) be the first derivative of 0*c**2 + 3*c + 2*c - 2 - c**2 + 3. Let a = 3 - -1. Give z(a). -3 Let u(l) = 7*l**3 + 4*l**2 + 2*l. Suppose f - 3*f + 2*k = 4, 4*k + 2 = -f. What is u(f)? -44 Let u(o) = 14*o + 5. Let f(b) = 8*b + 4. Let d(w) = -5*f(w) + 3*u(w). Determine d(6). 7 Let m(h) be the third derivative of h**7/840 - h**6/180 - h**5/120 - 4*h**3 - 28*h**2. Let v(y) be the first derivative of m(y). What is v(3)? 6 Let m(y) = -y**2 - 13*y - 11. Let l be m(-12). Let q(k) be the third derivative of 0*k - 1/20*k**6 + 0*k**5 + 0*k**4 + 0 + 0*k**3 + 2*k**2. Calculate q(l). -6 Let o(k) = -11*k**3 + k**2. Let y be -1*((-2)/1 + 2). Suppose 5*s - 4*d - 3 = y, -s + d + 3 = 2. What is o(s)? 12 Suppose 0 = 4*f - 3*f - 5. Suppose 2*t + 3 = -m, 9 = m - f*t + t. Let a(u) = 4*u**3 + u**2 + u - 1. What is a(m)? 5 Suppose 3*j = -3*y + 3, -4*j - 3*y = -5*y - 10. Let g(q) = j + 4*q**2 - 1 - 2*q**2. Give g(1). 3 Let j(t) = -2*t**3 + 9*t**2 + 5*t + 2. Let u be j(5). Let z(p) = -1 - 16*p**u + 3*p**2 + 0 - p**2. Let s be 1*(2 - 1) + -2. Determine z(s). -15 Let c(f) = 10*f**2 - 6*f + 1. Let s(z) = z**2 - z. Let b(a) = c(a) - 6*s(a). Let d be ((10 - 4) + -5)/(-2 + 1). What is b(d)? 5 Suppose 5*y + 0*y = -20. Let d be (-10)/15 + (-2571)/(-9). Let b(q) = -3 + 284*q**2 - d*q**2 + 0*q - 2*q. Determine b(y). -11 Let x(p) = -17*p**2 + 30*p**2 - 14*p**2 - 2*p + 9. Calculate x(-4). 1 Let x(s) be the second derivative of s**6/240 + s**5/20 + 11*s**4/4 + 4*s. Let p(q) be the third derivative of x(q). Give p(-4). -6 Let m(l) = 57*l**3 + 12 + 83*l**3 - 141*l**3 - 15*l - 16*l**2. What is m(-15)? 12 Let g be (-3 + -2 + 3)*-1. Let u(k) = g*k**3 - k**3 - 7 + 2*k + 18*k**2 + k - 24*k**2. Give u(6). 11 Let a(h)
{ "pile_set_name": "DM Mathematics" }
te 0.5*143605.97. 71802.985 -27*738880 -19949760 -0.266428*267 -71.136276 Multiply 1447248 and 0.1. 144724.8 Calculate -80747*-3562. 287620814 Work out -3 * 16010.54. -48031.62 Work out -2321.6 * -0.04921. 114.245936 104.9014 times -0.38 -39.862532 Calculate 6633.5*1291. 8563848.5 What is the product of -34132738.9 and 4? -136530955.6 -84185154 times -4 336740616 Product of -107627968 and -5. 538139840 Work out -7.0979922 * -0.8. 5.67839376 Calculate 210079*-0.11. -23108.69 Product of -65048 and -317. 20620216 Work out 1.674 * 2.3621. 3.9541554 Product of -0.3 and -67.49327. 20.247981 Product of -210099 and 1141. -239722959 Work out 4 * -28477297. -113909188 Work out 66722.4 * 44. 2935785.6 What is the product of 445423 and 81? 36079263 Work out -240579 * 0.1. -24057.9 Calculate 1129.7541*0.1. 112.97541 167 times 447 74649 9 times 355608 3200472 0.275 times -1163313 -319911.075 29*-1395682 -40474778 What is -2004.8 times 26.97? -54069.456 What is the product of 0.156458212 and 0.4? 0.0625832848 What is the product of 153 and 2278.88? 348668.64 -9.6 times 531.11 -5098.656 Multiply 101.78853 and 0.2. 20.357706 Calculate -4496765*-2. 8993530 What is -123752866 times 2? -247505732 0.97621 * -58.5 -57.108285 -3 times 2145.709 -6437.127 -0.5 * -159383572 79691786 Calculate -32118*2881. -92531958 What is the product of 0.3 and 1393127? 417938.1 What is the product of 1.65977985 and 0.2? 0.33195597 What is 3 times -89722961? -269168883 Product of 0.394 and 1.70015. 0.6698591 Work out -333.81704 * 0.4. -133.526816 -78.36 * -27 2115.72 -52492 * -20.4 1070836.8 Work out 1.3114 * -32.85. -43.07949 What is -30445 times 134? -4079630 -0.03 * -394.35896 11.8307688 30.506942*-0.04 -1.22027768 35151394 * 7 246059758 228356 times -25 -5708900 Work out -7401 * 36328. -268863528 -24*-155.002 3720.048 What is 300 times 17756? 5326800 -29219 times 2068 -60424892 Product of 23.1296 and 0.3. 6.93888 2.786 times 1125.1 3134.5286 Calculate -4*216.29925. -865.197 74932898 times -3 -224798694 Product of 1.94 and 12.444. 24.14136 -0.097176*543 -52.766568 0.4593705*-4 -1.837482 164 times -134.7018 -22091.0952 -31.27061 times 16 -500.32976 -0.0070755 * -3.54 0.02504727 Product of -0.4 and -16424058. 6569623.2 Calculate -5.6*-0.062576. 0.3504256 Product of 8 and -2226700. -17813600 What is the product of -385 and -1635.8? 629783 Calculate 0.5*-0.2553667. -0.12768335 Calculate 350*-19207. -6722450 Product of -171.9 and -0.64147. 110.268693 Calculate 10*-0.0723818. -0.723818 What is the product of 359 and -0.8302? -298.0418 Calculate -38*-10827089. 411429382 0.72 * -0.011181 -0.00805032 Multiply 6 and 1570517. 9423102 -196.385267 times -0.5 98.1926335 What is 663816668 times -0.2? -132763333.6 Product of -44.311339 and 2. -88.622678 What is 133 times -1418.5? -188660.5 2.17 * -0.5924 -1.285508 Multiply 6.1 and 416830. 2542663 Calculate -205.7822*-0.94. 193.435268 What is 39673 times 159? 6308007 Product of -2 and 10152660. -20305320 -26564.73 * 0.8 -21251.784 Work out -77108070 * 0.3. -23132421 What is -4926 times 189.5? -933477 Multiply -7829 and 20. -156580 0.3580821 * 0 0 What is 1 times -5733.74? -5733.74 0.0719 * 448466 32244.7054 Product of 7164647 and -0.037. -265091.939 What is -191 times 3441471? -657320961 What is the product of -4 and -82459302? 329837208 What is 1.19975 times 0.24? 0.28794 Product of 0.8 and 398.5552. 318.84416 Multiply 5031 and 1.9855. 9989.0505 48820*-75.7 -3695674 What is the product of -39924 and -54? 2155896 What is -18.121 times -0.0049? 0.0887929 -41*-2967857 121682137 6227599*-0.2 -1245519.8 16185 * 1.0384 16806.504 Calculate 4709565*6. 28257390 -5*59628.11 -298140.55 What is the product of 2524637 and -334? -843228758 What is the product of 15 and 444723? 6670845 Work out -120367 * 427. -51396709 Product of -16 and -3292986. 52687776 Work out 8532 * -4.2. -35834.4 Calculate 604011*48.4. 29234132.4 Work out -49955 * -10.3. 514536.5 What is 642461 times -5? -3212305 Multiply -5 and -703493. 3517465 Product of -0.054 and -234.6602. 12.6716508 What is 0.06535808 times 0.2? 0.013071616 Work out -0.2 * -159355014. 31871002.8 Work out -52114.5639 * -5. 260572.8195 Multiply 97476768 and -0.4. -38990707.2 Work out -0.001835027 * 0.08. -0.00014680216 Product of 43362 and 748. 32434776 3625531 times 12 43506372 What is the product of 395.79 and -3.1? -1226.949 Calculate 37.3*-6466. -241181.8 Product of -11656 and 2445. -28498920 Calculate -296*-2200. 651200 -486362*-5.76 2801445.12 0.12 * -33215630 -3985875.6 Calculate -52370.055*5. -261850.275 Calculate 223*474807. 105881961 Product of 57403875 and -0.5. -28701937.5 Calculate 3*-3389719. -10169157 Product of 2076 and -33244.5. -69015582 Multiply -0.11623 and 8.02. -0.9321646 -80708096*0.4 -32283238.4 -11636.084 * 0.3 -3490.8252 Calculate 0.2*0.128172071. 0.0256344142 -71757 * -44.6 3200362.2 Multiply -0.1341 and -0.181. 0.0242721 Product of -4.3 and 258.959. -1113.5237 What is 40404095 times -9? -363636855 0 * -328691.5 0 What is the product of -70.1401 and -0.02? 1.402802 What is the product of 0.4 and -0.706697? -0.2826788 -531994*0.2 -106398.8 Calculate 1*3.6654953. 3.6654953 Work out 1487 * -1201228. -1786226036 Multiply -312.96 and 76. -23784.96 -0.043*217691 -9360.713 Calculate 1.5946*-0.258. -0.4114068 What is the product of -78201336 and -0.2? 15640267.2 -98.5244*-3 295.5732 465733 times -19 -8848927 102842 * -101.79 -10468287.18 What is -0.2197 times -360841? 79276.7677 -54540788*0.5 -27270394 Product of 0.05878392 and -15. -0.8817588 What is 7060.269 times -96? -677785.824 Calculate 2230*2751. 6134730 -4713989 times -2.1 9899376.9 What is -35330 times 11340? -400642200 -453 times -2050.5 928876.5 What is the product of 0.02 and -64618319? -1292366.38 27 times -19939584 -538368768 36793 * 43 1582099 1.3286 times 8918 11848.4548 -11*1.1265506 -12.3920566 -0.4*38232.08 -15292.832 Product of -2026.301997 and -4. 8105.207988 Calculate 1*1264209. 1264209 Calculate 2605251*-2.64. -6877862.64 Work out -0.2 * -17.08196. 3.416392 Multiply 5595098 and -0.18. -1007117.64 What is 0.05 times 0.14145465? 0.0070727325 Product of -454.8404 and 0.3. -136.45212 Work out -3 * -0.757598. 2.272794 What is the product of 7.05 and 6901.7? 48656.985 Product of -1.3 and -4083932. 5309111.6 31.2 times 81747 2550506.4 Product of 271294.8 and 11. 2984242.8 What is 1259 times -8216? -10343944 -225156.56*2 -450313.12 Calculate -0.05965*-8.81. 0.5255165 What is 220156 times -5.8? -1276904.8 0.1 times 0.5888909 0.05888909 0.372467 * -3.36 -1.25148912 Calculate -3*-65435.2. 196305.6 What is the product of 2 and 0.12937961? 0.25875922 Product of -0.4 and 22129157. -8851662.8 Product of -16.028487 and 3. -48.085461 3.08 times 50104 154320.32 Multiply -7214 and 11.95. -86207.3 -1.7944*0.0616 -0.11053504 What is -49539 times 1? -49539 What is 303005.32 times 0.4? 121202.128 Calculate 2*196.92658. 393.85316 Product of -30 and -13239. 397170 What is 0.07 times 10.91665? 0.7641655 -0.281277 times 0.0969 -0.0272557413 Work out 0.2033977 * 0.4. 0.08135908 Product of 156149 and -3682. -574940618 -217093644 times -1 217093644 What is the product of -0.09748 and -17? 1.65716 Calculate -0.52600059*0.2. -0.105200118 Multiply -149.2154 and 0.03. -4.476462 Multiply 1537 and 17.3794. 26712.1378 Product of -4866.1 and 85. -413618.5 2.8 times -117.25356 -328.309968 Calculate 9.1*-4210240. -38313184 What is the product of 7227 and -0.0214? -154.6578 Product of -30.95 and -6789. 210119.55 0.09503*4064 386.20192 Calculate -1949992*-0.4. 779996.8 Work out -1.52 * -59.475. 90.402 Product of 58 and 245607. 14245206 Product of -186 and -0.34957. 65.02002 Work out 1258 * 9317. 11720786 What is the product of -1.0229 and 321? -328.3509 Calculate 4*-6180169. -24720676 Multiply 25461 and -2950.8. -75130318.8 What is 10.090853 times 4? 40.363412 6*-82124.1 -492744.6 -6.09 * -0.582752 3.54895968 Calculate 0.483*685.31. 331.00473 What is the product of -2021915.23 and -0.2? 404383.046 18.5177 times 0.082 1.5184514 Product of -2.014931 and -0.104. 0.209552824 Multiply -37550 and -17107. 642367850 What is the product of -231800 and -111? 25729800 Work out -950.961 * -2.74. 2605.63314 What is the product of 16776939 and -5? -83884695 What is the product
{ "pile_set_name": "DM Mathematics" }
- 10*r**3 + 141*r**2. Let s(v) = -31*v**3 + v**2 - v + 3. Let d(m) = -2*a(m) - 3*s(m). Calculate d(-1). -30 Let u(z) = -6*z**3 + z. Let j(f) = f + 1. Let c(q) = -2*q + 9. Let d(t) = -2*c(t) - 6*j(t). Let a be d(-6). Let l be 2/a + (-49)/(-42). Determine u(l). -5 Suppose b - 12 = 5*n, 0 = -3*n + 2*b + 4. Let w(o) = -o**3 - 6*o**2 - 12*o - 2. Give w(n). 14 Let j(w) = 2 - 2*w - 6 + 3*w. Suppose -3*r = -3*f + 12 - 36, -5*r - 3*f = 8. Let n be j(r). Let x(s) = s**3 - s**2 + 2. Determine x(n). -10 Suppose -235 = 2*l + u, -5*l + u - 933 = -349. Let d = l - -199. Let j(r) = -75 - d + 156 - 2*r. Determine j(-2). 3 Let k(d) be the first derivative of 63*d**2/2 + 195*d - 1553. Calculate k(-3). 6 Let o(h) = -3*h**2 - 47*h + 69. Let m be o(-17). Let i(d) = -5*d**3 - d**2 + 4*d - 4. What is i(m)? -6 Let n(r) = -r - 2. Let v(u) = u**2 - 7*u - 484. Let l be v(26). Calculate n(l). -12 Let u = -81 + 83. Suppose -5*x - 10 = 3*v, 25 = -u*v + 6*v - x. Let d(o) = v + 6*o - 6*o - o**3 + 2*o - o. Determine d(0). 5 Let y(f) be the second derivative of 4*f**3 - 25*f**2/2 - 6245*f. Give y(1). -1 Let m(t) be the second derivative of -t**5/60 + t**4/3 - 3*t**3 - 5*t**2 - 231*t. Let g(f) be the first derivative of m(f). What is g(4)? -2 Let t(f) = -f**2 - 2*f + 4. Suppose 2*v + 6 = 2*y, 2*v - 34 + 15 = -3*y. Suppose -5*m = v*n + 9, -3*n + 4*n + 2*m = -3. Calculate t(n). -11 Let x be (17 - 750/45)*15. Let g(v) = -v**2 + 7*v + 9. What is g(x)? 19 Let d(x) be the third derivative of -1/60*x**5 - 3/8*x**4 - 38*x**2 + 0 + 0*x - 2*x**3. What is d(-9)? -12 Let s(f) = 32*f**2 + 45*f - 156. Let c(u) = 45*u**2 + 68*u - 234. Let i(p) = 5*c(p) - 7*s(p). Calculate i(-26). -52 Let r(n) be the third derivative of 0*n - 1/8*n**4 - 18*n**2 + 2/3*n**3 + 1/120*n**6 + 0 - 1/30*n**5. Determine r(3). 4 Let g(d) = d**2 - 13*d + 6. Let n be g(13). Let w = -3 + n. Let q(v) = -1 - 3*v**2 + 9*v**2 + w*v - 5*v**2. Calculate q(-5). 9 Let g(n) = 820 + 844 - 1670 - 12*n + 3*n**2 - n**3. Give g(4). -70 Let b be (-1 + (-186)/15)*(-7 + 2). Suppose p - 23 = a, -3*p + a = -3*a - b. Let u(d) = -2*d + 51. Let j be u(p). Let s(r) = -11*r**2 - r. Determine s(j). -12 Let m(a) = -3*a**3 - a**2 - a. Let u(k) = -k + 10. Let p be u(10). Suppose p = -2*v + 6*v - 68. Suppose 6 = 11*y + v. Determine m(y). 3 Let a(f) be the first derivative of f**4/6 + f**3/2 - 3*f**2/2 + 42*f - 51. Let q(v) be the first derivative of a(v). Calculate q(3). 24 Let u(j) = 15*j - 587. Let r(o) = 17*o - 480. Let v(g) = 6*r(g) - 5*u(g). Determine v(-3). -26 Let x(t) = -3*t - 5. Let p be (6 - (-12)/(-16)) + (-2)/8. Suppose o + 4*u - 12 = 0, 0 = -p*o + 4*u - 52 + 16. Give x(o). 7 Let q(w) = -6*w**2 + 55*w + 91. Let i(t) = -35*t**2 + 308*t + 547. Let n(y) = 4*i(y) - 23*q(y). Determine n(-19). 0 Let r(j) = -3*j - 11. Let n be 50/475 - 865/95. Give r(n). 16 Let m(h) = h**2 - 11*h - 1. Let c(n) = 14 + 8*n**2 + n**2 - 23*n - 1 - 6*n**2. Let b be c(7). Let l(d) = -d - 1. Let x(o) = b*m(o) + 5*l(o). What is x(4)? 4 Let l(c) = c**2 - c - 3. Suppose 4*f - 4*j + 4 = 0, 19 = 3*f + 2*f + 3*j. Suppose 2*v - 1 = 3. Let u be v + 0 + (0 - -3 - f). Give l(u). 3 Let f be ((-1)/2)/(2/(-8)). Let w(s) = -1 - 9*s - 3*s**f + 4*s**2 + 11. Let q(a) = 9414*a + 18836. Let j be q(-2). Give w(j). 2 Let z(d) be the first derivative of -d**4/4 + 2*d**3 - 3*d**2/2 - 999. Determine z(6). -18 Let v(a) = -49*a + 5. Suppose -335*d = -332*d + 4*b - 24, 0 = 4*b - 24. Give v(d). 5 Let b(x) = -16 + 8 + 5 + 2*x. Let g(i) be the third derivative of -i**6/120 + i**5/15 + i**4/8 - 5*i**3/3 - 23*i**2. Let o be g(4). Give b(o). 1 Let o(w) = -w - 15*w**2 + 0 + 16*w**2 - 7. Suppose a = 5*a + 2*g + 20, 0 = 2*a + 3*g + 6. Let s(u) = -u**2 + 7. Let v(p) = a*s(p) - 7*o(p). Determine v(8). -1 Let x(s) be the second derivative of 1 + 15*s - 1/12*s**4 + 3/2*s**3 - 6*s**2. Determine x(6). 6 Let n(j) be the first derivative of -11*j**2/2 - 61*j + 3. Let a be n(-7). Let t(x) = x**3 - 16*x**2 + x - 19. Give t(a). -3 Let w(q) = -q**2 - 27*q - 108. Let x be w(-5). Let l(i) = -5*i - i**x + 3*i + 5 - 8*i + 3. What is l(-9)? 17 Let a(x) = x - 3. Suppose 27*z = 14*z + 585. Let g = -48 + z. Give a(g). -6 Let l(i) be the first derivative of i**3/3 - 2*i**2 - 4*i + 1. Let z be ((-2)/(-16)*-6 + 76/80)/((-56)/(-1400)). Give l(z). 1 Let s(h) = -2 + 4 + 47*h**2 - 4*h + 11*h. Let d(m) = 23*m**2 + 3*m + 1. Let l(u) = -5*d(u) + 2*s(u). Let o be -8 + 1 + (-192)/84 + (-754)/(-91). Give l(o). -21 Let s be (4/(-22))/((-1)/11). Suppose 0 = s*t + 3*l, -16 = 2*t - 0*l - l. Let x be (t/(-10))/((-10)/(-50)). Let a(p) = 2*p - 2. What is a(x)? 4 Let k(v) = 6*v**2 + 23*v + 5. Let w(m) = -6*m - 1. Let f(u) = 3*k(u) + 11*w(u). Determine f(-2). 70 Let f(b) = 2353*b**3 + 4 + 5*b - 1177*b**3 - 6 - 1175*b**3 - 3*b**2. Calculate f(3). 13 Let t(c) = c**2 + 7*c - 11. Let q(d) = 7*d - 24. Let z be q(4). Suppose -z*g - 55 = -19. Determine t(g). 7 Let g(o) = -o**3 + 11*o**2 - 9*o - 14. Let w = 3 - -21. Let p be (-3*8/w)/(2/(-20)). Calculate g(p). -4 Let d = 91 - 12. Let b = d - 69. Suppose 5*x + 1 = -2*t - 1, -3*x - 4*t = -b. Let f(l) = 4*l - 2. Determine f(x). -10 Suppose -x + 5*m = -29, x + 2*x = -m + 7. Suppose 0 = -x*o - o + 35. Suppose 10*g + 24 = o*g. Let d(t) = t**3 + 9*t**2 + 6*t - 4. What is d(g)? 12 Let c(i) = -2*i**3 - 33*i**2 + 34*i - 114. Let r(a) = 3*a**3 + 34*a**2 - 35*a + 132. Let x(h) = 4*c(h) + 3*r(h). Determine x(29). -2 Suppose 59 = -u - 4. Let h = u + 65. Let l(q) = h*q**2 + 135*q**3 - 145*q**3 + 0*q + q - q**2. Calculate l(-1). 10 Let q be 1/((-1)/(3/1)). Let y(m) = 3 + m**2 + 80053*m - 40026*m - 40023*m. Give y(q). 0 Let u(i) be the first derivative of -i**3/3 + 22*i + 26. Let q be -2 + 3 + 4 + -3. Let n(g) = g**3 - 3*g**2 + 2*g. Let z be n(q). Determine u(z). 22 Let m be ((-636)/(-72) - 8)/(1/6). Suppose 0*c = 5*c + 5*u + m, 4 = u. Let s(y) = 2*y + 5. What is s(c)? -5 Let r be ((-22)/(-3))/(4/(-6)). Let h(f) = -f + 11. Let z(c) = -2*c + 14. Let d(l) = -3*h(l) + 2*z(l). Give d(r). 6 Let b(h) be the second derivative of h**4/12 + 4*h**3/3 + 3*h**2/2 + 25*h. Let y be 3 + ((-12)/9)/2*-102. Let f = -77 + y. What is b(f)? -9 Let h(b) = -b**3 - 8*b**2 + 23*b + 23. Let v be (1 - 11 - 0)*(-22 + 23). Let c be h(v). Let i(j) = 7 - j**2 - 3*j - 12*j + 10*j. Determine i(c). -7 Let b(i) be the third derivative of i**5/30 - 21*i**4/8 - 97*i**3/6 + 2*i**2 - i - 154. Determine b(33). 2 Let a be (17/(-68))/(1/2*(-1)/14). Let m(s) = -s**3 + 9*s**2 - 9*s - 5. What is m(a)? 30 Let u(f) = -f**3 + 7*f**2 - 24*f + 104. Let m be u(6). Let q(r) = 5*r - 7. What is q(m)? -27 Let a(j) = j - 3. Let o(s) be the first derivative of -s**2 + 5*s - 38. Let v(q) = 5*a(q) + 3*o(q). What is v(-5)? 5 Let v(s) = s**3 - 10*s**2 - 10*s - 8. Let t be v(11). Let f(n) = -t - 8 + 10 - 1 + 4*n. What is f(1)? 2 Let b(j) = -j**3 - 17*j**2 - 39*j + 1. Suppose 497*u - 831 = -1160 - 1162. What is b(u)? -8 Let b = 6545 - 6554. Let c(v) = v**2 + 22*v + 123. What is c(b)? 6 Let b(f) = 1 - 6*f**2 - 4*f**2 + 3*f**2. Suppose -5*l + 1036 = 2*x + 132, 0 = -l + 5*x + 170. Let c = -179 + l. Determine b(c). -6 Let a(d) be the third derivative of -d**6/120 - d**5/60 + 4*d**3/3 + d**2 - 28. Let q = 13 - 13. Give a(q). 8 Suppose -305*k + 9 = -2*u - 304*k, 0 = -4*k + 12. Suppose 9 = h - y + 3*y, h - 21 = -5*y. Let r(g) = h + 0 + 2 + 4*g. Determine r(u). -9 Let i(z) = 2*z - 16. Let c be (-5 - (-33)/6)/(1/12). Let d be (105/c + -1)*(-40)/(-60). Give i(d). 6 Let a(j) = -3*j**3 + 59*j**2 + 47*j + 71. Let o(d) = d**3 - 20*d**2 - 16*d - 24. Let q(z) = 6*a(z) + 17*o(z). What is q(15)? -57 Let s(g) = -3*g**2 + 5*g - 1. Let z be (18 - 0) + 6 + -14. Suppose -2*n = -4*o - 4*n + 16, 0 = 3*o - 4*n + z. What is s(o)? -3 Let o(x) = -11*x**3 + 98*x**2 + 268*x - 275. Let a(w) = -w**3 + 8*w**2 + 22*w - 23. Let p(c) = -25*a(c) + 2*o(c). Determine p(2). 5 Let z(h) = 238*h - h**2 - 82*h - 80*h - 78*h + 22. What is z(-6)? -2 Let a(o) = -589*o + 586*o + 20 + 21 + 11. Calculate a(14). 10 Let f(w) = w**2 - 4*w - 2. Let s be (-1)/((-9)/(-6))*(-6)/4. Suppose -2*m - 7*x = -4*x - s, -4*m - 5 = -x. Let j be (-26)/(-8) + 9*m/(-12). Give f(j). -2 Let r = 124 - 120. Suppose 0*f - 5*g + 1 = r*f, 3*g + 15 = -5*f. Let w(i) = -i**3 - 5*i**2 + 2*i + 5. Give w(f). 29 Let f(i) = i**2 - 6*i + 1. Suppose -105 = -3*w + 8
{ "pile_set_name": "DM Mathematics" }
15.92 Product of -0.06 and -821. 49.26 What is the product of 76 and -0.064? -4.864 -0.1*22 -2.2 Product of -3.98 and 6. -23.88 -0.02*3.6 -0.072 What is the product of -104 and 0.2? -20.8 61.6 * -5 -308 Calculate 0.07*-1485. -103.95 Calculate -0.25*14. -3.5 What is -59 times 0.09? -5.31 What is 7.5 times -0.13? -0.975 Multiply -567 and 7. -3969 Multiply 0.08 and 0.5. 0.04 What is the product of 3.1 and 13? 40.3 -0.105 times 13.6 -1.428 What is 7 times 32? 224 Product of -51 and -0.5. 25.5 Multiply 4 and -0.566. -2.264 What is 0 times 2.7? 0 Multiply 24.3 and 0. 0 -120.7*-7 844.9 -32252 * 0.4 -12900.8 What is -3 times 1.3? -3.9 Work out 1 * -2. -2 -0.1*0.106 -0.0106 -45 times 7 -315 What is 0.4 times -2? -0.8 Product of -1.79 and -77. 137.83 0.03 * -15 -0.45 Calculate -0.01*-6. 0.06 1*-8.7 -8.7 -185*-0.3 55.5 -0.1 times -14 1.4 Work out -1.19 * -0.4. 0.476 Multiply 14.4 and 86. 1238.4 Product of 0.43 and 3. 1.29 0.0234 times -1 -0.0234 Product of 3 and -0.0474. -0.1422 What is -7 times 70? -490 What is the product of 19 and 43? 817 1700 times 0 0 Multiply 0.4 and 138. 55.2 -103 times 27 -2781 Work out -2.592 * -0.4. 1.0368 164 times -1.1 -180.4 18776*5 93880 -1 * -0.0409 0.0409 What is 4 times -0.2407? -0.9628 -19.3 times -0.01 0.193 What is the product of -4.1 and -6? 24.6 Calculate -0.5173*-2. 1.0346 Multiply 4 and -95. -380 Multiply 0.0581 and -2.4. -0.13944 What is -1.6 times 1.77? -2.832 Calculate 0.07*1033. 72.31 -0.29 times -147 42.63 0.124*-4 -0.496 Work out -474 * -0.4. 189.6 Product of 3.66 and 31. 113.46 -1.9 times -2 3.8 Product of 0.5 and 77. 38.5 Calculate 0.2*137. 27.4 Work out -23.86 * -1. 23.86 -0.4 times 52 -20.8 Calculate 34*-1.23. -41.82 What is -7 times 277? -1939 Calculate 276*-0.079. -21.804 Product of 5175 and -0.2. -1035 -1.01 times 0.2 -0.202 14.7 times 1 14.7 390 * 0.2 78 What is 8.96 times 0.3? 2.688 What is 0.1985 times 0.4? 0.0794 Multiply -0.039 and -0.11. 0.00429 What is the product of -4328 and 0? 0 -16 times -0.5 8 What is -10.9 times 30? -327 Product of -14.82 and -2. 29.64 What is 0.3 times 306? 91.8 Multiply -88.2 and 0.08. -7.056 Multiply 1 and -0.052. -0.052 6 times -5 -30 Calculate 198*0.4. 79.2 What is the product of -3 and -15.05? 45.15 -3.7*-0.2 0.74 What is the product of 68 and 4? 272 -0.1 times 0.2 -0.02 Work out 0.285 * -2. -0.57 0.3 times 945 283.5 Calculate -2526*5. -12630 Multiply 908 and 0.5. 454 Work out 887 * 0.1. 88.7 3 times -4050 -12150 Product of 0.5413 and 0.1. 0.05413 Multiply 0.4 and -182. -72.8 Multiply 0.1 and 63.4. 6.34 What is -371 times -14? 5194 Multiply -0.11 and 8. -0.88 What is -0.2 times 53? -10.6 Work out 89 * -9. -801 0.1*1.61 0.161 What is 0.334 times 1? 0.334 Product of 0.1951 and 0.4. 0.07804 -0.4 * -3.741 1.4964 5.6 times -5 -28 Calculate 49*4. 196 What is -329 times -0.4? 131.6 7 * 37 259 Product of -51464 and 3. -154392 What is the product of 0.04 and -0.0438? -0.001752 What is 22 times 0.06? 1.32 Calculate -0.4*-27. 10.8 0.479 times -0.4 -0.1916 Work out -0.3 * -0.108. 0.0324 Multiply 0.06 and 0.1. 0.006 Product of -0.5 and -506. 253 Multiply -0.4 and 56. -22.4 -381 * 0.3 -114.3 -128.3*0.3 -38.49 Multiply -9 and 0.054. -0.486 What is -0.01 times -69.7? 0.697 What is 5.7735 times -0.4? -2.3094 -0.04 * 1 -0.04 Calculate 0.16*-1.893. -0.30288 2802 * -5 -14010 -5*178 -890 0.4 times 2.45 0.98 -2 * 2931 -5862 Calculate 15*0. 0 Calculate -149*-0.3. 44.7 Product of 2.26 and -1.4. -3.164 433 * -2 -866 -1 * 40 -40 0.14 times -117 -16.38 22 * -0.8 -17.6 5 times 395 1975 0.03 times -13 -0.39 Work out -0.04 * 0.4. -0.016 Multiply -69 and 5.7. -393.3 Multiply 5.3 and 25. 132.5 What is 0.3 times -0.642? -0.1926 -0.3 * 8 -2.4 Calculate -0.0196*-0.04. 0.000784 Multiply 12729 and -0.3. -3818.7 -0.1 times -315 31.5 Work out 0.15 * 0.571. 0.08565 -33 * 4.8 -158.4 Product of -0.02 and -18.9. 0.378 Work out -18378 * 0.5. -9189 6.999*-0.5 -3.4995 Calculate 10*-241. -2410 28*-15 -420 What is the product of -5 and -2? 10 Calculate -6141*0.5. -3070.5 What is -29 times 0.32? -9.28 4*-1867 -7468 What is 10 times -0.43? -4.3 What is -8 times 9? -72 What is the product of 0.4 and 9.77? 3.908 What is -0.181 times 0? 0 9*-6 -54 What is -12 times -318? 3816 122*5 610 What is -161 times -5? 805 -23 times 0.108 -2.484 Product of -2893 and -2. 5786 Calculate 1*0.2. 0.2 Product of -20 and 20. -400 What is the product of 5 and 182? 910 Work out 303 * 4. 1212 Calculate -9.7*-49. 475.3 -13.3*2 -26.6 5 * -0.266 -1.33 0.875 * 0.4 0.35 What is the product of -1 and 0.2079? -0.2079 Product of -0.5785 and 3. -1.7355 Work out -143 * -98. 14014 What is -14 times -17? 238 5*27 135 What is 31056 times -0.5? -15528 Calculate -0.04*1672. -66.88 What is the product of -5.1 and 0.5? -2.55 3*-1.07 -3.21 What is -25 times 102? -2550 Product of -3.881 and -0.3. 1.1643 What is -0.1 times 43? -4.3 Product of -0.03 and -182. 5.46 0.13 times -143 -18.59 Multiply 0.2 and -4017. -803.4 Product of -29 and -26.2. 759.8 What is the product of -108.8 and -5? 544 -37*0.3 -11.1 -5 * 0.49 -2.45 Calculate 1491*3. 4473 Calculate 2*-12.9. -25.8 -1.55*-5 7.75 Calculate -667*-4. 2668 Calculate 0.695*4. 2.78 Work out -30.1 * 0.8. -24.08 Calculate -0.1*0.0002. -0.00002 Product of 49 and 8. 392 What is 0.17 times -15? -2.55 -0.2504 times -0.1 0.02504 -45 times 0.4 -18 Work out -0.01 * 81. -0.81 Calculate 169*-0.5. -84.5 -3143 times 6 -18858 Calculate -0.04*-0.1. 0.004 What is the product of -0.015 and 21? -0.315 Product of -2 and 2.89. -5.78 Product of 2.2 and 264. 580.8 What is -0.17 times 596? -101.32 Calculate -4*-58. 232 -0.16*-1.37 0.2192 Product of -2 and 11. -22 -161*1 -161 Multiply -0.2 and -79. 15.8 Product of 94 and 19. 1786 -111 times 0.3 -33.3 -0.061*4.2 -0.2562 0.5 times 149 74.5 Multiply 3037 and 0.5. 1518.5 Work out -0.06 * -16. 0.96 Work out 4048 * -1. -4048 Multiply 4249 and 0.4. 1699.6 -0.323*1.8 -0.5814 -1189 times -4 4756 Work out -3 * -19. 57 4156 * -0.1 -415.6 What is the product of -1.4 and -0.35? 0.49 Calculate 11*-11. -121 -0.5 times -10.5 5.25 -96 times -1 96 Work out 0.3 * -0.855. -0.2565 -13 times 178 -2314 -19.83*5 -99.15 Calculate -98*5. -490 What is 169.4 times -2? -338.8 Multiply 210.9 and -5. -1054.5 Multiply -3 and -104. 312 -0.01 times -0.133 0.00133 Multiply -1.82 and -1. 1.82 6313 times 5 31565 Work out -0.08 * 0.72. -0.0576 Work out 4.41 * 1. 4.41 765*-0.2 -153 Multiply -567 and 3. -1701 Work out -7548 * -2. 15096 -2407*0.1 -240.7 Work out 0.2 * -0.14. -0.028 1378 times 2 2756 Multiply 0.5 and -17.7. -8.85 Product of -41 and -0.47. 19.27 What is the product of -6 and -1040? 6240 Product of 0.2 and -2.2. -0.44 Product of -2.09 and 0.4. -0.836 Work out -6 * 3480. -20880 Work out 11193 * 0.4. 4477.2 Calculate 0.7*0. 0 Multiply -85 and 8. -680 0.062*0 0 0.3 * 60 18 Product of 30 and -0.3. -9 Product of -0.76 and -5. 3.8 Multiply 565 and -0.19. -107.35 Work out 471 * 2. 942 What is -3 times 47? -141 What is the product of -20 and -37? 740 3.8 * 0.05 0.19 Work out -3 * -718. 2154 What is 263 times -83? -21829 10965*0.2 2193 Product of 2 and -66. -132 Multiply 3 and 0.7. 2.1 Multiply -0.1 and -58. 5.8 Calculate 1098*0.09. 98.82 Calculate 0.1*0.322. 0.0322 -0.12895 times -5 0.64475 Calculate 5*-2.65. -13.25 -525*-20 10500 Calculate 4*-0.948. -3.792 0.436*5 2.18 Product of -58 and -0.07. 4.06 Multiply -4 and -4.6. 18.4 What is -287 times -0.4? 114.8 -11.952 * -0.2 2.3904 Product of 1.6 and 5. 8 What is the product of -2673 and 5? -13365 What is -0.4 times 107? -42.8 Work out -21725 * -0.5. 10862.5 Multiply 48 and 0.11. 5.28 Product of 0.4 and -0.134. -0.0536 Calculate 447*-0.3. -134.1 -11*2.1 -23.1 -0.4*0.01975 -0.0079 Product of 179.3 and -0.3. -53.79 What is the product of -15002 and 2? -30004 Multiply -1.2 and -55. 66 Work out 0.7 * 0.021. 0.0147 Product of 4 and 2787. 11148 -0.258 times 0.07 -0.01806 -72 times 0.4 -28.8 Product of 3 and -40. -120 What is -0.18 times -0.32? 0.0576 Calculate 9*0.1. 0.9 Calculate 25*3. 75 Product of -0.23 and -8. 1.84 Product of -1 and -233.7. 233.7 What is the product of -2 and 26? -52 -0.1*1309 -130.9 19 * 0.5 9.5 Calculate -3.6*-0.54. 1.944 Product of -2 and -21.38. 42.76 Product of 5.68 and -0.06. -0.3408 What is 386 times -39? -15054 What is -1.3 times 15? -19.5 Multipl
{ "pile_set_name": "DM Mathematics" }
+ 4*m**2 + 24*m - 25. Let i(g) be the first derivative of r(g). What is the tens digit of i(-2)? 6 Suppose -8*x + 687 = -8809. Suppose 1 = 11*g - x. What is the units digit of g? 8 Let m be (-14503)/3*90/(10 + 5). What is the tens digit of 70/525 + m/(-30)? 6 Let v = -10660 - -25030. What is the thousands digit of v? 4 Suppose -13*c + 862408 = 79*c. What is the hundreds digit of c? 3 Suppose -n + 899 + 5159 = 0. What is the thousands digit of n? 6 What is the thousands digit of (8*(-40026)/(-36))/(2/3)? 3 Let w = 156994 + -93519. What is the tens digit of w? 7 Suppose 3*r - 9 = 0, -2*z = -z + r - 5. Suppose -5*l = 0, -4*v - 3*l + 0*l = -236. Suppose z*d - v + 47 = 0. What is the units digit of d? 6 Let b(g) = 8*g + g**2 - 21*g + 23*g + 10 + 17. Let l be b(-7). Suppose -49 = l*y - 817. What is the units digit of y? 8 Let i be (1 - 2)*(-48 + -2)/(-5). Let u be 0*(i/15)/(-1 + 3). Let c(f) = -3*f + 65. What is the tens digit of c(u)? 6 Let t be (-65)/(-15) - 10/(-15). Let z(d) be the first derivative of 29*d**2 - 53*d - 2. What is the tens digit of z(t)? 3 Let d = -17370 - -26671. What is the hundreds digit of d? 3 Suppose -42*l = -2145774 + 196512. What is the hundreds digit of l? 4 Suppose -44*w = -2*k - 42*w + 29678, 59324 = 4*k + 4*w. What is the thousands digit of k? 4 Let f(o) = -2*o**2 - 3*o + 2. Let w be f(0). Suppose q = w*k - 98, -5*q = 2*k - 3*q - 86. What is the tens digit of k? 4 Suppose -26 = -13*m - 0*m. Suppose 3*p - 3580 = -2*p. Suppose m*f + 2*k - 290 = -k, -5*f - 3*k = -p. What is the hundreds digit of f? 1 Let q = -52 - 730. What is the tens digit of q/(-8) - 16/(-64)? 9 Suppose -5*o + 5*l = 180, 0 = o - 0*o + 4*l + 21. Let v = o + 37. Suppose 56 = 6*p - v*p. What is the units digit of p? 8 What is the tens digit of 277461/(-27)*((-15)/3 - -2)? 2 Let u(g) = -g**3 - 8*g**2 - 11*g + 11. Let f be u(-6). Suppose -f*q = -0*q - 0*q. Let z(c) = -3*c + 78. What is the tens digit of z(q)? 7 Let p(q) = 7*q + 23. Let u(x) = 1. Let k(n) = p(n) - 6*u(n). Let r be k(6). Suppose 4 = -5*g + r. What is the units digit of g? 1 What is the units digit of (78/(-36) + (-4)/(-6))/((-9)/214482)? 7 Suppose -m + 8 - 5 = 0. Let k(y) = -10 + 9*y + y**2 + 18*y**2 - y**2 + y**m. What is the tens digit of k(-17)? 2 Let t = -216 + 216. Suppose 3*b - 24*b + 1050 = t. What is the units digit of b? 0 Let c be (-3)/(-2 + -7) + (-7282)/(-6). Let f = c - 849. What is the units digit of f? 5 Let d = 75 - 147. Let s = 76 + d. Suppose -t - m - s*m = -83, -t + 3*m = -99. What is the tens digit of t? 9 Let c = 7745 + -2278. Suppose 10*y = -y + c. What is the hundreds digit of y? 4 Let g = -47 + 48. Let y be g*-3*(-20)/30 + 178. Let s = y + -71. What is the tens digit of s? 0 Suppose -24*q + 2125921 = 566569. What is the tens digit of q? 7 Suppose -10*g = -9*g - 3*u - 5644, 5*g + 4*u - 28353 = 0. What is the tens digit of g? 6 What is the hundreds digit of (-1 + 71)/((295/210)/59)? 9 Let p(y) be the second derivative of -2*y**2 + 15*y + 1/2*y**4 + 0 + 2/3*y**3. What is the tens digit of p(-4)? 7 Suppose 0*t = -5*t + 5*q - 75, 3*t = -4*q - 24. Let j be (71 - 3)*t/(-8). Suppose l + 3*x = 66 + 44, l + 5*x = j. What is the units digit of l? 2 Let f be (-18)/((-4 - -5)*9/12). Let i = f + -75. Let q = 241 + i. What is the tens digit of q? 4 Let q(j) = j**3 + 10*j**2 + 12*j + 14. Let m be q(-9). Let u(a) be the first derivative of a**4/4 + 5*a**3 + 5*a**2/2 - 2. What is the hundreds digit of u(m)? 2 What is the ten thousands digit of ((-4)/10 + 29561/15)/(383/6894)? 3 Let i = 17 + -77. Let g = i - -213. What is the tens digit of g? 5 Let i(w) = w**2 + 18*w - 176. Suppose 18*p - 39 = 19*p. What is the tens digit of i(p)? 4 Let d(k) = 6*k**2 - 91*k + 39. Let m(l) = 3*l**2 - 46*l + 20. Let a(j) = 4*d(j) - 7*m(j). What is the tens digit of a(15)? 6 Let y = -5 + 7. Suppose 0 = -y*k - 0*k + 4. What is the hundreds digit of -125*(k - (-42)/(-15))? 1 Let s = 128 - 117. Suppose -i + s = -0*i. Let g = 65 + i. What is the tens digit of g? 7 Suppose 4*w = 4*i - i + 8952, 11190 = 5*w + 3*i. What is the hundreds digit of w? 2 Let z(k) = k**2 - 36*k + 27631. What is the thousands digit of z(0)? 7 What is the units digit of 343740/150*(20/28)/((-10)/(-35))? 9 Suppose 60*o = -22814 + 552554. What is the hundreds digit of o? 8 Suppose 0 = -56*i + 61*i + 700. Let w = -140 - i. Suppose 5*l + l - 162 = w. What is the tens digit of l? 2 Let g = -40 + 1072. Suppose 6*f - 348 - g = 0. What is the units digit of f? 0 Suppose 38*m - 95885 = -21329. Let q = 3482 - m. What is the units digit of q? 0 Let v = -55 - -54. Let q be 2/6*v*-9. Suppose -k - 22 = -n + k, q*n + 4*k = 66. What is the tens digit of n? 2 Let t = 63 + -307. Let c = t - -395. What is the units digit of c? 1 Let c = 0 + 3. Let o = -905 + 903. What is the tens digit of 95*(c + (o - 0/(-4)))? 9 Let d(o) = o + 8. Let q be d(-13). Let b be q/(-5*2/(-40)). What is the tens digit of 3050/b*4/(-10)? 6 Let v be 3748320/2223 - -2*(-1)/13. Let b = -420 + v. What is the units digit of b? 6 Suppose -3*v + 61526 = 5*f, -4*f - 39573 = -3*v + 21998. What is the ten thousands digit of v? 2 Let b = 5193 + 19199. What is the ten thousands digit of b? 2 Suppose 9*h + 43*h - 1425164 = 0. What is the hundreds digit of h? 4 What is the hundreds digit of 10/18*(-10 + 13)*12687? 1 Let h(u) = -10 - 19*u**2 + 1 - u + 50*u**2. What is the hundreds digit of h(3)? 2 What is the thousands digit of -1*9 + (9240 - 52)? 9 Let a be (27/(-4))/((-36)/240). Suppose -46*k = -a*k - 508. What is the tens digit of k? 0 Let l(t) = -4*t**3 - 9*t**2 + t. Let b(g) = 3*g**3 + 8*g**2 + 1. Let u(x) = -3*b(x) - 2*l(x). Let k be u(-7). Suppose k = p - 6. What is the units digit of p? 6 Let h(v) = -3*v - 26. Let b be h(-23). Let p = 147 + b. What is the tens digit of p? 9 Suppose 2*z = -0*z + 5*b + 1099, -3*z + b + 1655 = 0. Let p = 17043 - 17327. Let s = p + z. What is the tens digit of s? 6 Let j(a) = 5*a**2 - 3*a + 6. Let b be j(3). Suppose 0 = -9*p + 6*p + b. Suppose -p - 201 = -5*n. What is the tens digit of n? 4 Let y(m) = 4*m**3 + m**2 + 3*m + 31. Let f(q) = q**3 + q. Let r(d) = -3*f(d) + y(d). Let z be (96/(-8) - -2) + 10. What is the tens digit of r(z)? 3 Let c be -1*(-273 + -3 + 2). Suppose c = -2*p - p - d, -5*p - d - 460 = 0. Let r = p - -168. What is the units digit of r? 5 What is the hundreds digit of (-74)/222 + (-76507)/(-3)? 5 Let h(v) = v - 1. Let j(i) = 116*i - 56. Let q(y) = -39*y + 19. Let b(f) = -5*j(f) - 16*q(f). Let c(u) = -b(u) + 12*h(u). What is the units digit of c(-7)? 6 Let l(f) = -735*f + 14*f + 1 - 28 - 335*f - 578*f. What is the units digit of l(-1)? 7 Suppose -5*i + 5*p - 2770 = 0, 3*i + 1702 = -6*p + p. Let k = i + 1401. What is the tens digit of k? 4 Suppose -732*o + 755*o = 108307. What is the thousands digit of o? 4 Let u(q) = -273*q + 3. Let j = -31 - -32. Let x be u(j). What is the tens digit of ((-92)/(-10))/((-18)/x)? 3 Let u be (-52)/8*(-1 + 3). Let v = u + 18. Suppose 3*y = -2*g - 132 + 360, -3*y + v*g = -228. What is the units digit of y? 6 Let q = 105 - 90. Let w(i) = 2*i**2 - i + 12. Let o be w(q). Let t = -266 + o. What is the tens digit of t? 8 Let i be 27/2*(-20)/(-15) + -2. Let p(f) = f**3 - 15*f**2 + 7*f + 11. What is the units digit of p(i)? 9 Suppose -966662 = -423*d + 109*d + 17539242. What is the hundreds digit of d? 9 Suppose -1680 = -5*d - d. Let b = 466 - d. What is the hundreds digit of b? 1 Suppose 3*w - 3*t - 5652 = 0, -56*t = 5*w - 54*t - 9385. What is the hundreds digit of w? 8 Let s = -106 - -108. What is the units digit of (14 - 37)*s/(-2)? 3 Suppose 72 = -29*m + 27*m. What is the thousands digit of 182/(1/m*-6)? 1 Suppose 6*z - 5*z = 0, -3*x - 5*z + 97809 = 0. What is the ten thousands digit of x? 3 Suppose 4*v + v = 0. Suppose v = -b - o + 192, -o + 572 = -8*b + 11*b. What is the tens digit of b? 9 Suppose -10*f + 218 + 312 = 0. Suppose 0 = -9*h + f - 359. Let a = h + 90. What is the tens digit of a? 5 Let v be (16/24)/((-6)/639). Let h = -63 - v. What is the tens digit of (-2)/(-2) + 27*h + 0? 1 Let f be (36/19 - 0) + 2/19. Suppose 5*g + 209 = 5*c - 396, -f*c = 5*g - 242. What is the units digit of c? 1 Suppose 22*s - 24 = 86. Suppose 4*p - s*g - 624 = 472, -2*p = 4*g - 574. What is the units digit of p? 9 Let g
{ "pile_set_name": "DM Mathematics" }
ive of -3*a**3*p**3 + 472043*a**3*p**2*s - 19063*a**2*p**2 + 3*a*p**3*s + 15*a*p**2*s wrt a? -18*p**3 + 2832258*p**2*s Find the third derivative of -268017*v**4 - 5*v**2 - 16034*v + 2. -6432408*v Find the second derivative of -232281*y**4 - 524396*y wrt y. -2787372*y**2 What is the second derivative of 4106500*t**5 - 3784617*t wrt t? 82130000*t**3 What is the first derivative of 866*g**3 - 3*g - 223744? 2598*g**2 - 3 What is the third derivative of -14*g**3*s**3 + 2*g**3 - 19*g*s**3 - 159289*g*s**2 - 118*s**3 wrt s? -84*g**3 - 114*g - 708 What is the second derivative of -2*g**4*u - 61267*g**3*u**2 - 2*g*u**2 - 7777*g*u wrt g? -24*g**2*u - 367602*g*u**2 Find the first derivative of l*x**2 + 61*l + 296769*x - 3935 wrt x. 2*l*x + 296769 Find the third derivative of -202*h**4 + 492*h**3 - 95975*h**2. -4848*h + 2952 Find the third derivative of 3287934*x**5 + x**3 - 5*x**2 + 471731 wrt x. 197276040*x**2 + 6 What is the third derivative of -2*l**5*z + 1156*l**4*z - 217*l**3 + 79*l**2 + 5098*l*z wrt l? -120*l**2*z + 27744*l*z - 1302 Find the second derivative of -597*c**2*y**4 - 2342*c**2 - 1225*c*y**4 + 4*c*y - 15*c + 2*y + 1 wrt y. -7164*c**2*y**2 - 14700*c*y**2 Differentiate -12999*d**4 + 2*d**3*k**2 - 15711*k**2 with respect to d. -51996*d**3 + 6*d**2*k**2 What is the third derivative of -1325*p**4*w**3 + 44*p**4*w - 10*p**2*w**3 - 5797*p**2*w wrt p? -31800*p*w**3 + 1056*p*w What is the second derivative of -2870*a**2*h**3 + 307*a**2 - 4*a*h**3 - 325*a*h - 2*h**3 wrt h? -17220*a**2*h - 24*a*h - 12*h Differentiate 318214*f*v + 42870*v + 1 wrt f. 318214*v What is the second derivative of 39000*f**2 - 24886*f + 1? 78000 What is the third derivative of 27*v**5 + 89*v**3 + 298*v**2 + 6*v + 1? 1620*v**2 + 534 What is the first derivative of 2341*d*g + 22*g + 21 wrt d? 2341*g Find the second derivative of 171055*s**5 + 21128*s - 1 wrt s. 3421100*s**3 Find the third derivative of -72574*s**3 + 103708*s**2 wrt s. -435444 Differentiate -2553*w - 3919 with respect to w. -2553 What is the third derivative of 366754*c**5 + 1094250*c**2? 22005240*c**2 Find the second derivative of -39094*z**5 + 23845*z. -781880*z**3 What is the third derivative of -k**3*s**4 + k**3*s - k**2*s + 685*k*s**4 - 9*k*s**3 + 354*k*s**2 - 4*s wrt s? -24*k**3*s + 16440*k*s - 54*k Find the third derivative of 5*l**6*x**3 - 3*l**4*x**3 - 7*l**3 + l**2*x - 9*l**2 + 31*x**3 + 64*x**2 wrt l. 600*l**3*x**3 - 72*l*x**3 - 42 What is the second derivative of -3*i**5 - 2854*i**4 - 3*i - 11519? -60*i**3 - 34248*i**2 Find the third derivative of -10*y**5 - 1128*y**4 + 143*y**2 + 158. -600*y**2 - 27072*y What is the second derivative of -9817*j**4 - 121851*j wrt j? -117804*j**2 Find the second derivative of 174261*j**2 - 78*j + 61 wrt j. 348522 What is the derivative of -867712*j + 1716884 wrt j? -867712 What is the third derivative of -163*j**5*n**2 - 328*j**3*n - 2366*j**2*n**2 - j**2 wrt j? -9780*j**2*n**2 - 1968*n Differentiate -v**4 + 89*v**2 + 2*v - 20012 wrt v. -4*v**3 + 178*v + 2 What is the third derivative of 584762*j**4 - 139584*j**2 + 3 wrt j? 14034288*j Find the first derivative of 2805843*s + 987282. 2805843 Find the first derivative of -19422*p + 46763 wrt p. -19422 Find the second derivative of 1044*f**4 - 85*f**3*j - 162*f*j + 45*f - j - 4 wrt f. 12528*f**2 - 510*f*j What is the second derivative of -248116*t**5 + 212*t - 853 wrt t? -4962320*t**3 What is the third derivative of -y**5 - 15*y**4 + 696*y**3 - y**2 - 4961*y - 2? -60*y**2 - 360*y + 4176 What is the second derivative of -p**3*t + p**3 + 11*p**2*t - 218*p**2 + 13*p*t + 224*p - 4*t wrt p? -6*p*t + 6*p + 22*t - 436 What is the third derivative of 24*s**5 - 114*s**4 + 133*s**3 + 1317*s**2 - 661? 1440*s**2 - 2736*s + 798 What is the derivative of 34479*r + 90933? 34479 What is the third derivative of -110377*g**3 + 99710*g**2 wrt g? -662262 What is the second derivative of -101*h**4 - 2*h**2 - 619*h? -1212*h**2 - 4 Find the second derivative of -35245*u**2 + 16892*u wrt u. -70490 What is the derivative of -32*t**3 - 21475*t**2 - 1760681 wrt t? -96*t**2 - 42950*t What is the third derivative of d**3*j*z**2 - 1490604*d**3*z**2 - 3*d**2*j*z**2 + 3*d**2*j*z + d**2*z + 44*d*j - 13*d*z**2 wrt d? 6*j*z**2 - 8943624*z**2 Find the third derivative of -3*r**6 + 4*r**5 - 68*r**4 - 41272*r**2 wrt r. -360*r**3 + 240*r**2 - 1632*r Find the first derivative of -79126*p**4 - 104787. -316504*p**3 What is the second derivative of -5019*b**2*f - 3*b**2 - 1816*b + 5*f wrt b? -10038*f - 6 Find the third derivative of -2*r**6 + 559*r**4 + 14*r**3 - 68*r**2 - 3*r + 476 wrt r. -240*r**3 + 13416*r + 84 What is the first derivative of -108*c**2*j - 90*c*j - c + 130106*j wrt c? -216*c*j - 90*j - 1 Find the second derivative of -18188*k**2*x**5 + k**2 + 15*k*x**5 + 97*k*x - 423*x wrt x. -363760*k**2*x**3 + 300*k*x**3 What is the third derivative of 2499*r**5 + 2*r**4 + r**3 + 38887*r**2? 149940*r**2 + 48*r + 6 What is the second derivative of h**3*n**2 - h**2*n**3 + 179506*h**2*n + 552628*h*n**2 + 2*h + n**3 wrt h? 6*h*n**2 - 2*n**3 + 359012*n Find the third derivative of 63259*n**6 + 5*n**5 + 559*n**2 - 3*n - 3 wrt n. 7591080*n**3 + 300*n**2 Find the second derivative of -8597*j**4*z**2 + 11*j**2 - 5*j*z**2 - 33*j*z + z**2 - 13 wrt j. -103164*j**2*z**2 + 22 Differentiate -59207*a + 189463 wrt a. -59207 Find the second derivative of -6*m**3*y**3 - 540*m**3 + 1886*m**2*y**4 + 2*m**2*y + 463*y wrt y. -36*m**3*y + 22632*m**2*y**2 Find the second derivative of 378342*n**4 - 477*n - 44 wrt n. 4540104*n**2 Differentiate 53120*m*x + m - 2*x + 438 with respect to x. 53120*m - 2 What is the second derivative of -1819155*y**3 - 11425*y - 14 wrt y? -10914930*y Differentiate 433*w**2 + 7*w + 183554. 866*w + 7 Find the second derivative of 4*t**2*v**5 - 9*t**2*v - t**2 - 820*t + 21281*v**5 - v wrt v. 80*t**2*v**3 + 425620*v**3 What is the derivative of 11*a**3*f**3 + 462*a**3*f**2 + a**3 - 2757 wrt f? 33*a**3*f**2 + 924*a**3*f Find the second derivative of -56548*f**3 + 6220*f. -339288*f Find the second derivative of 3*p**3 - 37472*p**2 + 452454*p. 18*p - 74944 Find the second derivative of 2370*b*q**3 + b*q - 4*b - 27*q**3 - 10923*q wrt q. 14220*b*q - 162*q What is the second derivative of 18380*f**2 + 9833*f + 1 wrt f? 36760 What is the first derivative of 1457774*b*h + 3585*h + 35 wrt b? 1457774*h Find the first derivative of -53*q**2*r*t - 17*q**2*r - 55*q*r**2 + 4*r**2*t - r**2 - r*t + 5*r + 13*t wrt t. -53*q**2*r + 4*r**2 - r + 13 Differentiate 614585*p**4 + 781335. 2458340*p**3 What is the third derivative of -1565946*d**5 + 176992*d**2? -93956760*d**2 What is the third derivative of 677580*s**4 - 2*s**2 - 4*s - 5672 wrt s? 16261920*s What is the third derivative of g**3*w**3 + 22*g**3*w - 15753*g**2*w**3 - w**4 + 342*w**2 + 4 wrt w? 6*g**3 - 94518*g**2 - 24*w Find the third derivative of 176026*a**3 - 54413*a**2 wrt a. 1056156 Find the third derivative of 155*s**2*z**4 + 1106*s**2*z - 2*s*z**3 + 12*s*z**2 - 2*s*z - 994*z**4 wrt z. 3720*s**2*z - 12*s - 23856*z What is the second derivative of -18247*j*l**2 - 17*j*l + 895*j wrt l? -36494*j What is the first derivative of -53081*w**3*x + 6*w**3 + 2*w**2 + x + 1438 wrt x? -53081*w**3 + 1 What is the third derivative of -330*u**5 - 1302*u**4 - 22*u**2 + 10854*u? -19800*u**2 - 31248*u What is the first derivative of -69*u**3 + 1245*u**2 - 3*u + 2899700 wrt u? -207*u**2 + 2490*u - 3 Find the first derivative of 9328*p*y**3 + 2*p*y**2 - 2*p*y - 34*y**3 + 113*y wrt p. 9328*y**3 + 2*y**2 - 2*y Find the third derivative of -2995*o*v**5 + o*v**2 + o*v + 2*o - 2*v**6 - 419*v**2 wrt v. -179700*o*v**2 - 240*v**3 What is the second derivative of 763*i**3 + 77*i**2 + 173798*i wrt i? 4578*i + 154 Differentiate -23242*l**3 + 38007. -69726*l**2 What is the third derivative of 2*m**2*y**3 + 935*m**2*y**2 + 3821*m*y**6 - 6*m*y**2 wrt y? 12*m**2 + 458520*m*y**3 Find the third derivative of 199076*z**3 + 54314*z**2. 1194456 Find the second derivative of -142*b**4 + 1511*b**2 + 115*b + 347 wrt b. -1704*b**2 + 3022 Find the third derivative of 163*g*z**4 - g*z - g - 83*z**6 - 25*z**2 + 40*z wrt z. 3912*g*z - 9960*z**3 What is the second derivative of -1600*o**3*u**5 + 11*o**3*u + 680*o**2*u wrt u? -32000*o**3*u**3 Find the seco
{ "pile_set_name": "DM Mathematics" }
pose -9*b + 5306 = 5*b. What is the tens digit of b? 7 Suppose 0 = -33*w + 16193 + 16081. What is the units digit of w? 8 Let o = -45 + 125. Suppose 0 = -4*n + 4*y + 31 + 17, 4*y - o = -4*n. Let c = n - 4. What is the units digit of c? 2 Let q(y) = -11*y + 126. What is the units digit of q(0)? 6 Let o be (-2)/13 + (-1100)/(-52). Let h(x) = x**2 - 8*x + 4. Let j be h(8). Suppose 0 = -j*n + 5*r + 163, o + 146 = 4*n - r. What is the units digit of n? 2 Suppose 6*k = 13*k - 8*k. Suppose 0*x + x - 332 = -3*u, -u + 5*x + 84 = k. What is the units digit of u? 9 Let h(d) = 1581*d**2 + d - 2. What is the units digit of h(-1)? 8 Let w = 11 - 6. Suppose 102 = w*c - 18. Suppose 72 = 2*p + c. What is the tens digit of p? 2 What is the hundreds digit of ((-714)/(-35))/(15/200) - -3? 2 Let w(j) be the third derivative of -j**4/4 - 11*j**3/6 + 20*j**2. What is the tens digit of w(-17)? 9 Let q(m) = -m**2 - 8*m - 4. Let v(u) = -2*u + 9. Let k be v(8). Let s be q(k). Suppose -4*d + 31 = -t + 4*t, s*t = 3. What is the units digit of d? 7 Suppose -12960 - 16056 = -8*m. What is the thousands digit of m? 3 Suppose -1049 = -2*t + m, -14*t + 12*t + 1055 = -3*m. What is the tens digit of t? 2 Suppose 623 = 4*h + 259. What is the tens digit of h? 9 Let i be 23/((9 - 4) + -4). Suppose -4 + i = n. Suppose -2*h + 75 = -n. What is the tens digit of h? 4 Suppose -976 = -2*s + 2*v - 4*v, 5*s - 5*v = 2460. What is the tens digit of s? 9 Let x(y) = -21*y - 18. Let h(q) = 10*q + 9. Let g(v) = -13*h(v) - 6*x(v). Let z be g(3). Let k = 4 - z. What is the tens digit of k? 2 Let w(k) = 3*k**2 - 1. Let l be w(1). Suppose 0 = c + 3, -l*g - 1 = -c - 12. Suppose -4*j = 3*z - 24, g*j = -z + j + 3. What is the tens digit of z? 1 Suppose -6*m = 620 - 236. Let v be (0 - 2) + 105*1. Let f = v + m. What is the tens digit of f? 3 Let r(k) = -11 + 7 + 0*k + 0*k - k + k**2. Let u be r(-4). Let x = u + -9. What is the units digit of x? 7 Let k(m) = -8*m**3 - 15*m**2 - 6. Let i(t) = 7*t**3 + 14*t**2 + t + 6. Let j(z) = 7*i(z) + 6*k(z). What is the tens digit of j(-5)? 4 Let l(c) = -1. Let f(a) = -4*a**2 - 37. Let y(z) = -f(z) + 6*l(z). What is the tens digit of y(8)? 8 Let d = -4471 + 6473. What is the hundreds digit of d? 0 Suppose 0 = -2*t + 19*r - 23*r + 1708, -3*r = -6. What is the tens digit of t? 5 Suppose 5*c - 140 = x, -6*c = -3*c - 2*x - 77. What is the tens digit of c? 2 Let u(g) = -g**3 - g**2 - 9. What is the units digit of u(-5)? 1 Suppose 0 = t - 2*z + 24, 69 = -4*t - 5*z - 27. What is the tens digit of 4/(-16) + (-774)/t? 3 Let s = -392 + 911. What is the tens digit of s? 1 Suppose 5*b + 2*c = 7, -1 = 3*c - 4. What is the units digit of (-1164)/(-15) + b/(5/2)? 8 Suppose -4*x + 25 = x. Suppose -3 = x*q + a, 0 = 2*q - 3*a - 7 - 2. Suppose q*u = -2*u + 28. What is the tens digit of u? 1 Let v be (-16)/((2 + -1)*-2). Suppose 4*a = -3*b + v, 0*b + 6 = b - 2*a. Suppose b*r = 70 + 70. What is the tens digit of r? 3 Suppose 2*i - 5702 + 1544 = -2*n, 5*n - 10389 = -3*i. What is the tens digit of n? 7 What is the tens digit of 507249/351 + (-2)/13? 4 Suppose -r + 5*s + 16 = 0, r = 3*r - 4*s - 14. Let n(k) = k - 2 + 25*k**2 - 1 + 2. What is the tens digit of n(r)? 2 Let j(a) be the third derivative of a**6/120 - a**5/6 + 7*a**4/12 + 4*a**3/3 - 5*a**2. What is the hundreds digit of j(10)? 1 Let s = -276 - -676. What is the hundreds digit of s? 4 Suppose -12*d = -0*d - 3612. What is the hundreds digit of d? 3 What is the hundreds digit of (-6)/(-8) + 5/20 + 644? 6 Let o = 39 + -81. Let v = o + 65. Suppose 0 = x - v - 26. What is the tens digit of x? 4 Suppose -7*z = 660 - 3705. What is the tens digit of z? 3 Let u(w) = w + 5. Let y be u(-10). Let d = y - -18. Suppose a + 3*v = 2 + 11, -a + d = v. What is the units digit of a? 3 Suppose 228 = b + 2*z, 5*z - 65 = 4*b - 925. Suppose 26*h + b = 31*h. What is the units digit of h? 4 Let f(q) = -2*q**2 + 12*q - 6. Let y be f(5). Suppose 2*a = 6*a + 2*w - 608, 4*a = y*w + 608. What is the units digit of a? 2 Suppose -4*f + 13 = -3. Suppose -3*g - 13 = -2*q, q = 5*q - f*g - 24. Suppose 5*x + 27 = 3*u, -q*x - 41 = 3*u - 7*u. What is the tens digit of u? 1 Suppose 4 = 4*d - 6*d, 3*y = 2*d + 682. What is the hundreds digit of y? 2 Suppose 5*n - 98 = 3*n. Let r = 123 - n. What is the tens digit of r? 7 Suppose 9*o - 10600 = 758. What is the tens digit of o? 6 Suppose 0 = 2*j + 2*t - 4*t + 2, 0 = 3*j - 5*t + 11. Suppose -2*p + j*d = -14, -3*d + 10 = p - 6*d. What is the units digit of p/1 + (0 - -3)? 7 Let t(a) = 6*a**3 + a**2 - a. Let m be t(1). Suppose -7*o = -m*o + 24. Let f = 10 - o. What is the units digit of f? 4 Let x(f) = -4*f**2 + 2 + 0*f**2 - 5*f - 4*f**2 - 2*f**3 + f**2. What is the units digit of x(-4)? 8 Let x(q) = q**3 + 7*q**2 - 2. Let d be x(-7). Let t be 2 - (3 - (-2)/d). Suppose 4*o - 10 - 50 = t. What is the tens digit of o? 1 Let z(t) = -2*t - 4. Let a be z(-4). Suppose -a*l + 2316 = -l. What is the units digit of 6/(-42) - l/(-14)? 5 Let f be (-3)/2 + 9/6. Suppose -t - b = -40 + 1, f = 2*t + 5*b - 75. What is the units digit of (t/5)/(2/13)? 2 Let v(f) = 7 - 11*f - 8*f - 1 + 6. Let p be v(8). Let u = -78 - p. What is the units digit of u? 2 Let r(c) = -18*c**3 - c**2 + 4*c + 5. Let z be -3*((-35)/15 - -3). What is the tens digit of r(z)? 3 Let z(x) = 27*x**3 + 2*x**2 + 3*x - 6. Let p be z(3). Suppose 2*n - 8*n = -p. What is the tens digit of n? 2 Suppose 8*u - 73 = 95. Let d = u + 186. What is the tens digit of d? 0 Suppose 0 = 2*i + 2*u - 58, 5*i = -0*i + 5*u + 125. Suppose p + i = l - 2*p, 4*l - 108 = 5*p. What is the units digit of l? 7 Let z = -10 + 16. Let w(q) = q - 8. Let h be w(8). Suppose h = 5*o - 4 - z. What is the units digit of o? 2 Let l be 1*(-1 - (3 - 4)). Suppose -2*r + 4*g = -0*g - 212, -3*r + 283 = g. Suppose l = -3*o - 3*p + r, -2*o + 3*p + 168 = 3*o. What is the tens digit of o? 3 Suppose 408 + 672 = 6*t. What is the tens digit of t? 8 Suppose -232*m - 41930 = -239*m. What is the hundreds digit of m? 9 Let g(f) = 2*f**3 - 12*f**2 + 3*f + 3. What is the tens digit of g(8)? 8 Suppose -4*t + 3843 + 7837 = 0. What is the hundreds digit of t? 9 Suppose 0 = 5*v - 26 - 4. What is the units digit of (-516)/(-4) - (v + -5)? 8 Let p be ((-34)/4 - 1)/((-41)/82). Let v be 14/3 - (-4)/(-6). Suppose v*k = 59 - p. What is the units digit of k? 0 Let a(z) = 48*z**2 - z + 2. Let r be a(-2). Suppose -r = -3*t - 37. Let s = t - -9. What is the units digit of s? 2 Let l(u) = -20*u - 18. Let r be l(-7). Let i = -73 + r. What is the tens digit of i? 4 Let q = 6163 + -1664. What is the units digit of q? 9 Let n = -17 + 33. Suppose 56 = 585*p - 599*p. Let g = n + p. What is the tens digit of g? 1 Let i be 3 + (-147 - 1)/((-2)/1). Let d = i + -47. What is the units digit of d? 0 Suppose 4*i = 30 - 6. Suppose 2*l = -l + i. Suppose -l*m + 24 = 2*j, 4*j - 5*m = 9 + 3. What is the units digit of j? 8 Suppose -2*v + 0 = -40. Suppose -4*i + v = i. Suppose -i*x = -2*h + x + 44, -5*h + 3*x + 110 = 0. What is the units digit of h? 2 Let v(t) be the third derivative of t**5/20 + t**4/3 + 7*t**3/3 + 21*t**2. What is the tens digit of v(-4)? 3 Let g = 11 - 12. Let l be 27/18*(-23 + g). What is the units digit of (-980)/l + 2/(-9)? 7 Let l be 44*3/(-4 - -1). Let w be (10/4)/((-2)/l). Suppose 0 = s - 2 - w. What is the units digit of s? 7 Let s(a) = 2*a + 19. Let c be s(-11). Let d be (6 + c - -3) + -3. Suppose d*u - 124 = -5*k, -4*u + 5*k + 220 = u. What is the units digit of u? 3 Suppose 119106 = 110*q - 299114. What is the thousands digit of q? 3 Suppose -4*j + 25 = -19. Suppose -m + i + j = 0, -3*m = -3*i - 2*i - 43. Suppose -r = -m*r + 150. What is the units digit of r? 0 Suppose 2*p + 4*w = 30, 7*w = 2*w + 25. Suppose 0 = j - 4*s - 70, 0*s - 236 = -4*j + p*s. What is the units digit of j? 4 Suppose -74 = -5*d - h, -4*d - 3*h + 27 = -2*d. Let l = d - 8. Let t = 10 - l. What is the units digit of t? 3 Suppose -5*b + 65 = -4*q, 5*b = -3*q + 98 - 33. What is the tens digit of (20/(-10))/((-1)/b)? 2 Let w be (-3)/(0 - 1/12). Let o be (6/9)/((-9)/(-81)). What is the units digit of 276/w - (-2)/o? 8 Suppose -10 = 2*h, -6*h + h - 13432 = -3*o. What is the units digit of o? 9 Suppose 3*q = 3*q + 3*q. Let g(h) = 2*h**2 - h + 90. What is the units digit
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
9216363 a prime number? False Is 739431743 prime? True Is 25544593 a prime number? False Is 15640075727 prime? True Is 2430653 a composite number? True Is 4471435867 a composite number? False Is 74264199 composite? True Is 620172467 prime? True Is 48149537 prime? True Is 756201937 a composite number? True Is 35815690067 composite? True Is 52679317043 composite? False Is 28002977781 composite? True Is 2127226327 a prime number? True Is 24731921141 a composite number? False Is 1812281973 prime? False Is 1425918931 composite? True Is 158114484461 composite? False Is 969235079 a prime number? True Is 1852199291 composite? False Is 211390549763 a prime number? True Is 754731391 prime? True Is 1124696281 composite? True Is 11231034761 prime? True Is 631880269 composite? False Is 68443274693 composite? False Is 593207437 prime? True Is 18707851153 a composite number? True Is 158961041 a prime number? True Is 75534071 prime? True Is 11073691997 composite? True Is 8336737457 composite? 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True Is 5595676727 a composite number? False Is 110173632511 composite? False Is 24202252423 a composite number? False Is 14771912453 a composite number? True Is 15794230999 composite? True Is 83770465561 composite? False Is 1097116057 a composite number? False Is 1310890367 a composite number? Fal
{ "pile_set_name": "DM Mathematics" }
*3/3 - 3*r. Factor g(w). w*(w - 1)**2*(w + 1)*(w + 2) Let j(o) = o**3 - 4*o**2 - o - 6. Let z(r) = -r**3 + 5*r**2 + r + 7. Let g(a) = -6*j(a) - 5*z(a). Factor g(h). -(h - 1)*(h + 1)**2 Let 9*h**2 - 4*h + 114*h**3 - 12 + 4*h - 117*h**3 = 0. Calculate h. -1, 2 Let o be 44/20 + (-4 - (-38)/10). Suppose 0*d - 2/5*d**o + 2/5 = 0. Calculate d. -1, 1 Let n(x) be the second derivative of x**4/36 - 4*x**3/9 + 8*x**2/3 - x. Determine b, given that n(b) = 0. 4 Let t(f) be the second derivative of -f**5/20 - f**4/12 + 16*f. Factor t(z). -z**2*(z + 1) Let m(t) be the first derivative of t**6/14 + 3*t**5/35 - 3*t**4/28 - t**3/7 + 28. Factor m(c). 3*c**2*(c - 1)*(c + 1)**2/7 Let i be (-84)/(-49) + 4/14. Factor -2 - 3*k**2 + 2*k**2 - 1 + i*k + 2. -(k - 1)**2 Let q(c) be the third derivative of 2*c**7/105 + c**6/30 - 2*c**5/15 - c**2 + 11*c. Solve q(x) = 0. -2, 0, 1 Let n(b) be the first derivative of 4/3*b**3 + b**2 + 0*b**4 - 3 - 1/3*b**6 - 4/5*b**5 + 0*b. Determine y, given that n(y) = 0. -1, 0, 1 Suppose 20/7*w - 8/7 - 8/7*w**2 = 0. Calculate w. 1/2, 2 Suppose v + 2 - 10 = -2*p, 15 = 5*p. Let w(u) be the first derivative of -1/6*u**3 + u**2 - v*u + 3. What is n in w(n) = 0? 2 Let t be (-2)/((5 + -1)/(60/(-40))). Let o(w) be the second derivative of -1/60*w**6 - w + 0 - 5/3*w**3 - 2*w**2 - t*w**4 - 7/40*w**5. Factor o(b). -(b + 1)*(b + 2)**3/2 Suppose o = 6*o - 15. Determine h, given that 2*h + h**5 - 2*h**o + 3*h - 4*h = 0. -1, 0, 1 Factor 1/2*a**3 + 3/2*a - 1/2 - 3/2*a**2. (a - 1)**3/2 Let h = -8 - -11. Let -2 + 2*x**4 - 4*x - 3*x**3 + 7*x**h + 0 = 0. What is x? -1, 1 Let z be (24/70)/(((-16)/15)/(-8)). Factor -2/7*a**5 - 4/7*a - z*a**3 + 0 + 2*a**2 + 10/7*a**4. -2*a*(a - 2)*(a - 1)**3/7 Let v(k) be the third derivative of k**6/280 - k**5/140 - 5*k**4/56 - 3*k**3/14 - 8*k**2. What is p in v(p) = 0? -1, 3 Determine r, given that -1/3*r**2 + 1/9*r + 2/9 = 0. -2/3, 1 Let v(p) = -9*p**3 + 20*p**2 - 9*p - 26. Let o(x) = 10*x**3 - 20*x**2 + 10*x + 25. Let n(s) = -4*o(s) - 5*v(s). Factor n(h). 5*(h - 3)*(h - 2)*(h + 1) Let z(m) be the first derivative of -m**4/8 - 13*m**3/12 + m**2 + 7*m/4 - 4. Determine a so that z(a) = 0. -7, -1/2, 1 Suppose -3*d = 2*d + 40. Let k = -5 - d. Determine u so that -3*u**3 - 9*u + 9*u**2 + 3*u**2 - 2*u**k + 2 = 0. 2/5, 1 Determine o so that 3*o**2 - 3*o**2 + 4*o**3 + 4*o**5 - 8*o**5 = 0. -1, 0, 1 Suppose 2*p = -1 + 5. Let l(x) be the first derivative of -p + 0*x + 2/9*x**3 - 1/3*x**2. Determine t, given that l(t) = 0. 0, 1 Let d = -19 - -22. Let q(m) be the third derivative of 1/120*m**5 + 0*m + 0 + m**2 - 1/24*m**4 + 1/12*m**d. Solve q(g) = 0 for g. 1 Let f(m) = -2*m**3 + 5*m**2 + 2*m + 9. Let v(a) = a**3 - 3*a**2 - a - 5. Let u = 2 + 5. Let b(s) = u*v(s) + 4*f(s). Suppose b(q) = 0. Calculate q. -1, 1 Let t(b) = 81*b**2 + 31*b + 4. Let y(w) = -w. Let q be (-1)/(-4) + 9/12. Let f be (2/(-4) + q)*-2. Let z(k) = f*t(k) + 5*y(k). Factor z(l). -(9*l + 2)**2 Let r(t) be the second derivative of t**6/120 + 4*t. Find i, given that r(i) = 0. 0 Let y(n) = -2*n**3 + n**2 - n - 1. Let q(d) = 14*d**3 - 6*d**2 + 8*d + 6. Let a(m) = 6*q(m) + 44*y(m). Suppose a(u) = 0. What is u? -1, 1, 2 Suppose -13*d - 80 = -9*d. Let x be d/50 + (-24)/(-10). Factor 0*j + 0 - x*j**4 + 0*j**2 + 14/5*j**5 - 4/5*j**3. 2*j**3*(j - 1)*(7*j + 2)/5 Factor 0*y + 0*y**2 + 0 + 5/3*y**4 + 0*y**3 + 5/3*y**5. 5*y**4*(y + 1)/3 Suppose 7*v - 12 = 3*v. Factor 0*k**2 - k**3 + 3*k**3 + k - k**v + 2*k**2. k*(k + 1)**2 Let m be 4/24 - 33/(-18). Let f(k) be the third derivative of 1/84*k**4 - 1/420*k**6 + 0 - 1/21*k**3 + 0*k + 1/210*k**5 + k**m. Factor f(o). -2*(o - 1)**2*(o + 1)/7 Let h(r) = -9*r**2 + 3*r - 6. Let x(c) = -c**2 + c - 1. Let g(t) = h(t) - 12*x(t). Factor g(y). 3*(y - 2)*(y - 1) Let d(q) be the first derivative of -q**3 - 15*q**2 - 27*q + 22. Factor d(z). -3*(z + 1)*(z + 9) Let s(m) be the third derivative of 4*m**5/45 + 5*m**4/6 - 8*m**3/9 - 30*m**2. Solve s(w) = 0. -4, 1/4 Solve 5/4*z**2 + 2*z + 3/4 = 0 for z. -1, -3/5 Let q = 53 - 53. Factor -1/3*n**2 + q - 1/3*n. -n*(n + 1)/3 Let t(j) be the third derivative of -2/15*j**5 + 0 + 1/16*j**4 - 1/105*j**7 + 1/6*j**3 + 2*j**2 + 0*j + 1/16*j**6. Find c such that t(c) = 0. -1/4, 1, 2 Let v = -12 + 10. Let j be (-25)/(-30) - v/(-4). Suppose -2/3*n**3 + 0*n - j*n**2 - 1/3*n**4 + 0 = 0. Calculate n. -1, 0 Let t be 7052/(-10)*(11 - 6). Let x = t - -24732/7. Factor 0*z**2 - x*z**5 + 0*z + 40/7*z**4 + 0 - 8/7*z**3. -2*z**3*(5*z - 2)**2/7 Let b be (-2)/(-7) - (-402)/63. Let g = -6 + b. Find d such that -g*d**2 + 2/3*d + 4/3 = 0. -1, 2 Determine w, given that -5/4*w**4 + 0 + 0*w + 0*w**2 + w**3 + 1/4*w**5 = 0. 0, 1, 4 Solve -2*r + 2/3*r**2 - 2/3*r**4 + 2*r**3 + 0 = 0. -1, 0, 1, 3 Find c, given that -1/3 - 1/9*c + 4/9*c**2 = 0. -3/4, 1 Let k = -72 + 103. Determine i, given that -246*i**2 - 147*i**4 - 12 - 556*i**3 - 12 - 204*i - 312*i**2 + k*i**3 = 0. -2, -1, -2/7 Factor 0 + 6/5*i**2 - 2/5*i**4 + 4/5*i + 0*i**3. -2*i*(i - 2)*(i + 1)**2/5 Let y(x) = 25*x**4 - 9*x**3 - 41*x**2 + 21*x + 10. Let m(i) = 50*i**4 - 19*i**3 - 81*i**2 + 41*i + 20. Let z(u) = 6*m(u) - 11*y(u). Factor z(v). 5*(v - 1)**2*(v + 1)*(5*v + 2) Let t = 2545372594/987 - 2578898. Let b = t + 2/141. Factor 0*c + 0*c**3 + 0 - b*c**4 + 2/7*c**2. -2*c**2*(c - 1)*(c + 1)/7 Let j(h) be the first derivative of 2*h**5/75 + 11*h**4/30 + 2*h**3 + 27*h**2/5 + 36*h/5 + 9. Suppose j(i) = 0. Calculate i. -3, -2 Let b(m) be the second derivative of -3*m**6/10 + 21*m**5/10 - 19*m**4/4 + 2*m**3 + 6*m**2 - 10*m. What is x in b(x) = 0? -1/3, 1, 2 Let b(n) = -5*n**2 + 4*n - 8. Suppose 2 + 2 = p. Let o(g) = -4*g**2 + 4*g - 7. Let d(t) = p*o(t) - 3*b(t). Factor d(h). -(h - 2)**2 Let r(h) be the second derivative of h**5/20 - 5*h**4/12 + 2*h**3/3 + 20*h. Factor r(c). c*(c - 4)*(c - 1) Suppose 5*n + 15 - 65 = 0. Factor 13*v - 2*v**4 - 4 + 0*v**3 + n*v**3 + v - 18*v**2. -2*(v - 2)*(v - 1)**3 Let y(m) = 2*m**4 - 10*m**3 - 2*m**2 + 6*m - 2. Let f(b) = -b**4 + 11*b**3 + b**2 - 5*b + 3. Let l(t) = -2*f(t) - 3*y(t). Factor l(o). -4*o*(o - 2)*(o - 1)*(o + 1) Let d be 3/135 + (-1)/(-5). Let g(h) be the first derivative of 1/3*h**2 - 2 - d*h**3 - 1/6*h**4 + 2/3*h. Let g(v) = 0. Calculate v. -1, 1 Let m = 1 + -7. Let p = 8 + m. Factor p*j**2 + 2*j + j + j + 2. 2*(j + 1)**2 Let f(t) be the first derivative of 2 + 1/3*t**3 + 1/2*t**4 + 0*t - 1/2*t**2. Factor f(r). r*(r + 1)*(2*r - 1) Suppose 4*p - 855 + 3747 = 0. Let m = p - -7969/11. Solve 2/11 + 10/11*w + 8/11*w**3 + m*w**2 = 0. -1, -1/2 Let k(c) = -c**3 + 6*c**2 + 5*c - 4. Let v be k(6). Let d be v/8 - 2/8. Factor d - 2 - 2*j + j**2 - 2 + 4*j**3 - 2*j**3. (j - 1)*(j + 1)*(2*j + 1) Let k = 115 - 573/5. Let s be ((-4)/(-10))/1*2. Factor s*d**3 + 0 + 2/5*d**2 + 0*d + k*d**4. 2*d**2*(d + 1)**2/5 Let y(j) be the first derivative of -3*j**5/5 + 3*j**4/2 + j**3 - 3*j**2 - 7. What is p in y(p) = 0? -1, 0, 1, 2 Let m be (4/10)/(12/90). What is j in -3/4*j + 3/2*j**2 - 3/4*j**m + 0 = 0? 0, 1 Let r(f) be the second derivative of 1/30*f**5 - 1/9*f**3 + 1/18*f**4 - 1/45*f**6 + f + 0 + 0*f**2. What is b in r(b) = 0? -1, 0, 1 Let b(z) = 4*z**2 - 13*z - 14. Let l be b(-1). Factor 3/4*w**l + 3/4*w**4 + 0 - 3/4*w - 3/4*w**2. 3*w*(w - 1)*(w + 1)**2/4 Let z = -4 + 10. Determine r, given that -4*r**3 - z*r**3 + 0*r**3 + 14*r**2 - 4*r = 0. 0, 2/5, 1 Let f(u) be the first derivative of -u**4 + 1 + 0*u**3 + 2*u**2 + 2/5*u**5 - 2*u. Factor f(a). 2*(a - 1)**3*(a + 1) Let p(d) be the first derivative of d**6/3 + 26*d**5/5 + 23*d**4 - 20*d**3/3 - 175*d**2 + 250*d - 12. Factor p(o). 2*(o - 1)**2*(o + 5)**3 Let q(c) be the first derivative of 4/7*c - 1/14*c**4 + 8/21*c**3 - 3 - 5/7*c**2. What is k in q(k) = 0? 1, 2 Let y = -626 - -628. Solve -1/2 - 1/4*t**3 - 19/2*t**y + 17/4*t - 4*t**5 + 10*t**4 = 0 for t. -1, 1/4, 1, 2 Let k(w) be the second derivative of 0*w**3 - 2*w + 1/10*w**5 - 1/12*w**4 + 0*w**2 + 0 - 1/30*w**6. Solve k(t) = 0. 0, 1 Let x(d) be the second derivative of d**4/24 + 5*d**3/48 + d**2/16 + 7*d. Suppose x(l) = 0. Calculate l. -1, -1/4 Let w be ((-549)/(-126) - (-1)/7) + -4. Factor g**2 - 1/2 - 1/2*g + g**3 - w*g**5 - 1/2*g**4. -(g - 1)**2*(g + 1)**3/2 Let z(t) = t**3 - t**2 - t. Let k(s) = -36*s**3 + 140*s**2 - 120*s - 48. Let d(n) = -k(n) - 8*z(n). Find r
{ "pile_set_name": "DM Mathematics" }
= -204 - h. Solve j = 3*m + 10 for m. -3 Suppose -5*i + 21 = 26. Let t(z) = -23*z - 20. Let j be t(i). Solve 0 = -0*d - j*d + 15 for d. 5 Let m(r) = -10*r**2 - 62*r - 7. Let c be m(-6). Suppose 14*t - 9*t = c*g - 40, 16 = 5*g + t. Solve g*b - b = 9 for b. 3 Let h be 0/(4/16*-4). Let t(y) = y**3 - 11*y**2 + 10*y - 7. Let f be t(10). Let m be (-4)/f*(-7)/(-2). Solve -2*r - m*r + 12 = h for r. 3 Suppose -b + w = -5, -3*w = 2*b + 3*b + 15. Let i(q) = 2*q**2 - 9*q - 7. Let d be i(6). Suppose -v + d*v = 60. Solve -3*x + b = v for x. -2 Let i be (150/(-24))/((-36)/16 + 2). Solve 0 = -i*x + 12*x + 52 for x. 4 Let d(k) = 5*k + 2*k**2 + 23 - 32*k - 12*k. Let p be d(19). Solve p*n - 3*n + 2 = 0 for n. -2 Let d = -561 - -623. Solve -86 = 8*u - d for u. -3 Let r be 0/2 + (3 - 0). Suppose -7*p - 35 = -5*s - 2*p, p + 13 = 3*s. Suppose -2*j + 4*w = -12, 2*j - 5*w - 35 = -s*j. Solve b = r*b + j for b. -4 Let r be 19 + -5 - (14 - 0). Solve r = 6*k + 30*k for k. 0 Let r = 10 + 26. Let b = r - -49. Let o = b + -85. Solve o = 7*z - 3*z for z. 0 Suppose -2443*o - 2375 = -2468*o. Solve 0 = 75*w - o*w - 120 for w. -6 Let q = -415 - -419. Suppose 0*v = 2*v. Suppose -c + 2 = -v. Solve 2*b - c = q*b for b. -1 Suppose 0 = 27*b + 122 + 742. Let z(v) = v**3 + 33*v**2 + 35*v + 98. Let r be z(b). Solve -2*q - r = -q for q. -2 Let q(z) = -z**2 + 21*z - 6. Let v be q(20). Suppose -5*t + 8*m + 16 = 9*m, 5*t - 24 = m. Solve t = 2*s + v for s. -5 Let s be 4/14 - (-37954)/(-98). Let u = s - -269. Let r = u - -120. Solve -r*z = z + 12 for z. -4 Let w be 2*(1/((-2)/(-12)) + 13). Suppose 0 = -5*v + 3*n + w, 5*n - 31 = -4*v - 8. Solve -v = 11*r + 26 for r. -3 Suppose 0 = -4*j + 36, c = 3*j + 117 - 90. Solve -58*g + 67*g = -c for g. -6 Suppose 4*i - 262 = 5*a, 67 = 2*i - 4*a - 73. Solve i = -27*u + 31 for u. -1 Let n be (-318 + 318)*(-2)/6. Solve 14*p + 5*p - 18*p = n for p. 0 Suppose -8*f - 1 + 25 = 0. Suppose -5 = -32*o + 31*o. Solve -o*z = -f - 22 for z. 5 Suppose -3*r - d + 350 = -r, -r - 2*d + 178 = 0. Suppose -5*i + 31 = -r. Let z = i - 39. Solve -z = 5*c + 23 for c. -5 Let o(z) = 2*z**2 + 98*z + 781. Let v be o(-9). Solve 29*q + 142 = -v for q. -7 Let o(z) = 27*z - 494. Let r be o(22). Solve -r = 5*c - 130 for c. 6 Let y = 1 - -3. Suppose 3*k - 29 = 4*q, k + 27*q - 18 = 30*q. Suppose y*f - 2 = k*f. Solve -f = -0*l + 2*l for l. -1 Let c(o) = -105 - o + 0*o + 0*o - 11 - 3*o. Let l be c(-38). Solve 6*k + 3*k + l = 0 for k. -4 Let i(u) = -607*u - 1821. Let h be i(-3). Solve 17*g + 53 - 36 = h for g. -1 Suppose -r + 4*x = 22, 2*r - 2*x + 16 = -r. Let f be (0 + 0)/((-20)/r - 7). Solve 6*s - 14 - 16 = f for s. 5 Let q(c) = c**2 + 2*c. Let p(k) = k**3 - 12*k**2 + 22*k - 23. Let f(y) = p(y) - 3*q(y). Let a be f(14). Solve d = a*d for d. 0 Suppose -3*c + 61 = 5*x, 0 = 153*c - 158*c - 3*x + 107. Solve c + 3 = 25*f for f. 1 Let s = -2766 + 2848. Solve s*m - 75*m = -7 for m. -1 Let j(p) be the first derivative of -p**2/2 - 18*p - 26. Let y be j(-23). Suppose -y*o + 27 = 17. Solve t = o*t for t. 0 Suppose -20*b + 212 = -368. Solve 101 = -24*f + b for f. -3 Suppose 4*w = 3*w + 2. Let h = 949 + -935. Solve w = 4*o - h for o. 4 Let i(t) = -13*t + 2. Let s be i(-2). Suppose -21*r - 203 = -s*r. Suppose -4*x + 3*x + 9 = 0. Solve 5*z = r - x for z. 4 Let t be 0/((-2)/(-4) - 3/2). Suppose 2*j - j = 4*l, t = 3*l. Let g(z) = z**2 + 13. Let o be g(j). Solve o = -2*w + 5 for w. -4 Let d(o) = o + 385. Let n be d(0). Let c = -378 + n. Solve -4*w + c = -9 for w. 4 Suppose -10 - 6 = -2*b. Suppose 24 = t - 4*v, 0 = -5*t + 4*v + 13 + 27. Let k be (t/(64/12))/(12/48). Solve -k*a + 7*a = -b for a. -2 Let o(c) = 2*c**2 + 44*c + 224. Let b be o(-14). Solve b = 7*q - 28 - 0 for q. 4 Let n(f) = f**2 - 16*f + 53. Let s be n(4). Suppose 5*z = 2*o - 17, s*z - 2*z = -9. Solve 2*u - 1 - o = 0 for u. 1 Let k(s) = 67*s - 1024. Let t be k(16). Solve 50*h + t = 42*h for h. -6 Let p = -1 - -10. Solve -5*b = -34 + p for b. 5 Let s be 1962/(-10) - 0 - (-56)/280. Let f = s + 196. Solve -34*r + 29*r = f for r. 0 Let w = 5 + 0. Suppose w*q = q. Suppose 0*t - 2*i - 10 = -4*t, 4*t - i - 15 = q. Solve 10*x - t*x = 10 for x. 2 Let i be 8*((-4)/4 - 0 - -3). Suppose 0 = -2*w - i - 50. Let m be 44/w*6/(-8) + 2. Solve -4*u + m = -5 for u. 2 Let s = -6491 - -6503. Solve -s*i + 162 = 210 for i. -4 Suppose -v - 47 = -49. Let x be v/(-5) - 756/10. Let d = 82 + x. Solve -3*c = -d*c + 3 for c. 1 Suppose 13*b - 2145 = 1521. Suppose 0 = 4*d + 2*q - b, -2*d + 0*q = 3*q - 151. Suppose d = 3*n + 53. Solve -n*g = -0*g for g. 0 Suppose 1439 = 10*y + 1379. Solve -y - 60 = -33*r for r. 2 Let f = -1718 - -1741. Solve -8*i + f = 31 for i. -1 Let m be (-9 - (-3 - 3)) + 19. Suppose m = -4*w + 6*w. Solve 3*u - w*u = 15 for u. -3 Let l be ((-38)/(-7))/(((-96)/147)/(-32)). Solve 6*c + 32*c = l for c. 7 Let q(j) = j**3 + 7*j**2 + 10*j - 7. Let h be q(-5). Let v be h/(-14)*-2*0. Solve 0 = -v*p - 5*p + 25 for p. 5 Suppose -3*z = -4*i + 5*i - 10, -4*i + 12 = -2*z. Let x be 4 - 2/(0 - 4)*0. Solve -x*n - 14 = z for n. -4 Suppose 68*h = 410 + 406. Solve -64*a = -60*a + h for a. -3 Let s(h) = h - 4. Let q(y) = -12*y + 29. Let j(k) = q(k) + 4*s(k). Let n be j(1). Solve -n*r - 9 = -24 for r. 3 Suppose 3284 = 3*q - 334. Solve -25 = q*z - 1201*z for z. -5 Let g(t) = -t**2 - 12*t - 25. Let x be g(-7). Let j(z) = z**3 + 28*z**2 + 75*z + 2. Let a be j(-25). Solve x = 4*o + a for o. 2 Suppose -2*d - d + 6 = 0. Let k be 5/(-15) + d/6. Suppose 0 = -s + 4*s + 4*f - 61, k = 5*s - 3*f - 63. Solve -y - s = -6*y for y. 3 Suppose -12*f = -40 + 16. Suppose -3*d - 2*g = -6*g - 5, -3*d + f*g + 7 = 0. Solve d*j + 3*j = 0 for j. 0 Let l(n) = 2*n**3 + 390*n**2 - 6*n - 1131. Let v be l(-195). Solve 123 = -2*b - v*b for b. -3 Suppose 0 = -5*t + 153 - 28. Let g(z) be the second derivative of -7*z**3/6 - 12*z**2 - 23*z. Let u be g(-4). Solve -v - t = u*v for v. -5 Suppose -5*x + 0*y - 4*y + 462 = 0, -x + 91 = y. Solve -112*r + x*r = -56 for r. 4 Let t(d) = -9*d - 513. Let p be t(-45). Let a be 27/p - 1/(-4). Solve a = k - 3*k - 10 for k. -5 Suppose 4*m = q + 5*m + 105, m - 425 = 4*q. Let s = 119 + q. Solve 5*k + 7 = -s for k. -4 Let c = 138 + -209. Let p = -69 - c. Solve p = -3*d + 5*d for d. 1 Suppose 7 = -2*q + 27. Let i be 21 + 8 + -5 + -27 + 7. Solve -i*l = -q*l for l. 0 Let g be 3*(73/(-3))/1. Let k = -46 - g. Let m = k + -27. Solve m = 3*y - 0*y + 9 for y. -3 Let u(t) = -2*t - 16*t**3 - 21*t**3 - t**2 + 40*t**3 + 2. Let c be u(1). Suppose 2*m - 3*g = 20, -g + 6*g + 28 = c*m. Solve m*w + 0*w = -20 for w. -5 Let n be (-1 + 3 + -1)*0. Suppose -2*p + 21 = p - 3*r, r + 4 = n. Suppose y = -12, -3*q + 65*y + 36 = 62*y. Solve p*j + j = q for j. 0 Suppose 0 = 10*l + 106 - 146. Let c(v) = 2*v**2 + 23*v - 82. Let g be c(l). Solve -14 = -7*z - g for z. -4 Suppose 681 = 2*m + 3*a, 14*m = 24*m + 2*a - 3366. Solve -75*o + 117*o = m for o. 8 Let y(u) = -6*u + 22. Suppose 0 = -5*d - 2*z - 12, 0 = d + z + 4 - 1. Let v be (d + 8)*1/2. Let t be y(v). Solve 0 = -t*h - h + 5 for h. 1 Suppose 36*s - 23422 = -13*s - 49*s. Solve -2 = 237*u - s*u for u. 1 Let q be ((-30)/21)/((-908)/(-182) - 5). Solve -128*g = -q*g + 8 for g. 4 Let x be (-9 - -3)*39/(-18)*1. Suppose x*r + 32 = 123. Solve 8*a = r*a + 3 for a. 3 Suppose -6 = -2*g + 6. Let o = -108 + 111. Suppose b + o*j - 17 = 0, -3*b - j + 23 = j. Solve -b*x + 9 = -g for x. 3 Let q be (((-12)/(-10))/(-3))/(82/(-15990)). Suppose -6*a = -436 - 26. Solve -a*m + q*m = -1 for m. -1 Let i(n) = -n - 18. Let k = 12 + -18. Let p be i(k). Let u be (45/20)/(p/(-16)). Solve 2*a - u*a = -3 for a. 3 Let c = 9516 + -9508. Solve 0 = c*d + 26*d + 170 for d. -5 Suppose 0 = 4*v + 4, 3*w + 42 = -19*v + 16*v. Let q = w - -27. Solve -q*r = -10*r for r. 0 Let x(n) = 12*n**2 - 4*n - 3. Let s be x(-1). Suppose 0 = s*q - 10*q - 3*h - 111, -3*h = 3*q - 99. Solve -q*k + 31*k + 12 = 0 for k. 3 Let j(u) = -75*u - 9. Let g be j(1). Let k be g/(-36)*(-27)/(-21). Solve -4*r = k*r + 7 for r. -1 Suppose 155 + 27 = 7*z. Let v = -14 + z. Let m be 2*v/(-8) - -8. Solve 3*q - m = -2 for q. 1 Let f be (-221)/(-6) - ((-276)/(-72))/(-23). Suppose f = 4*s - 5*c + 15, -3*s = 2*c - 5. Solve -s*n + 4*n = 2 for n. 2 Suppose 6*k = 4*k + 6. Suppose -9*i + 128 = 2. Suppose 8 = -t + 3*t - 2*g, 5*g = 4*t - i. S
{ "pile_set_name": "DM Mathematics" }
x + 5*k - 131, k + 479 = 4*x. Let y = 118 - x. Let b = -4 + 1. Sort b, y, 2. b, y, 2 Suppose -42 + 31 = -w. Suppose w*d - 8*d - 18 = 0. Sort 5, -2, d in decreasing order. d, 5, -2 Let v be 35/(-20)*2 - (14 - 58/4). Let p = -2 - -3. Sort p, v, -1, -13. -13, v, -1, p Suppose -41*f = 5*q - 43*f - 45, f + 45 = 5*q. Sort 197, q, -4 in increasing order. -4, q, 197 Let s = 9211 - 9247. Put -6, s, 0, 5 in descending order. 5, 0, -6, s Let z be (0 - -1)*((-240)/24)/10. Put z, -30, 3, -4 in ascending order. -30, -4, z, 3 Suppose o + 4*m = 374, 42*m = 5*o + 44*m - 1762. Sort 3, o, -2 in descending order. o, 3, -2 Suppose 0 = 39*o + 245 - 284. Let d be 1/(-3)*(-2 + 5). Put o, d, 24 in increasing order. d, o, 24 Suppose -4 + 13 = l. Let v = l + 6. Let z be ((-12)/20)/(3/v). Sort 8, z, 1 in increasing order. z, 1, 8 Let h(u) be the first derivative of 5 + 1/3*u**3 + 35*u + 11/2*u**2. Let v be h(-6). Sort v, -6, 3 in descending order. v, 3, -6 Suppose 70*f + 204 = -33*f + f. Sort 1, 10, f, -3, -4 in increasing order. -4, -3, f, 1, 10 Suppose 3*t + 3*t = -16 - 2. Sort -1, t, -16, 1 in descending order. 1, -1, t, -16 Let c be 3*2*84/126. Sort 7, 3, 2, c, 0 in descending order. 7, c, 3, 2, 0 Let i = 64 + -123/2. Let l be (-147)/(-161) + 4 + -5. Sort l, 3, i, -4 in increasing order. -4, l, i, 3 Let c(r) = -6*r + 6. Let w = 90 - 105. Let d be c(w). Suppose 90 = -3*u + d. Put u, -18, 4 in descending order. 4, u, -18 Let i = 2941.5 + -2941. Put 104, i, -2 in descending order. 104, i, -2 Let p = -5.74 - -442.74. Let d = p + -436.8. Suppose 2 - 17 = -n. Sort -1, n, d. -1, d, n Let o = 155745/11 - 14159. Sort -2, o, -0.29, 0.3 in ascending order. -2, o, -0.29, 0.3 Let o = 7.848 + 0.252. Let g = o - 8.2. Let r be (-4)/6 + 3/(-6). Put 1/9, -0.5, r, g in decreasing order. 1/9, g, -0.5, r Let a(u) = u**2 - 16*u + 34. Let c be a(13). Let k = -105 + 105. Sort 4, c, k. c, k, 4 Suppose -u = -2 - 0. Suppose 336 = -252*o - 200*o - 568. Put u, o, -16 in decreasing order. u, o, -16 Let l be -1 - (-4 - -2) - -2 - -81. Suppose -l = 8*b - 11*b. Let k be (4/(-9))/(b/42). Put k, -0.3, -1/7, 0.4 in increasing order. k, -0.3, -1/7, 0.4 Let q be ((-15)/9)/((-11)/33). Suppose p - h = -4*p - 8, 0 = 2*p + q*h + 14. Sort p, 3, -37 in descending order. 3, p, -37 Suppose -4*l + 5*w + 16 = 2*w, -5*w - 22 = -2*l. Suppose 4*x + j = 69, -10*j - 89 = -4*x - 15*j. Let k = 0.6 + -1.1. Sort l, -0.1, x, k in decreasing order. x, l, -0.1, k Suppose 2*j + 32 = 32. Let z be (3 + 0)*(18 + -17). Suppose -z*p - 16 = -7. Put -1, 3, p, j in descending order. 3, j, -1, p Let w be (2*1 + (-4 - -4))/((-179)/(-358)). Put -2, -27, -4, w, 0 in decreasing order. w, 0, -2, -4, -27 Let r = -52.61 - -52.91. Sort 943, -2/11, 5, r, -1/7 in descending order. 943, 5, r, -1/7, -2/11 Let d be (15/(-6))/((-1)/6). Suppose -5*q = -d, -3*q - 1 + 2 = 2*i. Sort i, -2, 13/7. i, -2, 13/7 Let f be (-26)/(-2) + -15 - 2. Put f, -5, 6 in increasing order. -5, f, 6 Let x be (-4)/(-18) + 6 + (-34237)/4473. Let b = 7/71 + x. Put -2.8, -4, b in descending order. b, -2.8, -4 Let n = 2.3 + -2. Let c = -27.5 - 165.5. Let t = c + 184. Put n, t, 1/5 in increasing order. t, 1/5, n Suppose 3*r - 2*l - 234 = 0, 10*r + 5*l = 9*r + 78. Let m be ((-52)/r)/(2*(-2)/6). Let w = -1 - -1. Put 2, w, m in descending order. 2, m, w Suppose -62*s + 70*s = 40. Let y = 13 + 102. Suppose -j = -6*j - y. Sort -1, s, j in increasing order. j, -1, s Suppose 2*f - 296 - 26 = 0. Let k = f - 164. Sort k, 2, 4 in decreasing order. 4, 2, k Let u = 145.6 - 10.6. Let d = 135.4 - u. Put -5/3, 2, d, -5/8 in increasing order. -5/3, -5/8, d, 2 Let c = 204 + -196. Suppose -6*k - 4 - 14 = 0. Sort 3, c, k in descending order. c, 3, k Let g = 4 + -7. Let c = 11 - 10. Suppose 4 = 2*r + 4*l, -2*r + 64*l - 17 = 61*l. Sort c, g, r in decreasing order. c, g, r Let v = -0.049 - -0.249. Let c = -25 - -30. Put -4/5, v, c in descending order. c, v, -4/5 Suppose -6431*i = -6433*i + 2, -i + 10 = 3*h. Suppose -3*a + 40 = -4*x, -4*a + 20 = -a + x. Sort -1, 1, a, h in ascending order. -1, 1, h, a Let g = -294.33 + 294.63. Let p = 4 + 0. Put g, p, -8.5 in descending order. p, g, -8.5 Let i = -11/8 - -25/24. Suppose -5*a = -4*p + 917, -224 = -p + 45*a - 42*a. Suppose -p*y = -239*y - 30. Put i, -4, y, 1/6 in descending order. 1/6, i, -4, y Let c = 2 - 1. Let q = -8.91 + -402.09. Let a = q + 413. Put a, 0.5, -6/11, c in descending order. a, c, 0.5, -6/11 Let l = -11.245 - -226.245. Put l, -0.1, -1, -2/17 in ascending order. -1, -2/17, -0.1, l Let t(u) = -u - 26. Let x be t(5). Let m = 36 + x. Suppose m*w - 1 + 19 = -s, 0 = 3*w + 9. Sort 6, 0, s in decreasing order. 6, 0, s Suppose 55*a - 31 = 24*a. Suppose 2*u = -3*i - a, 10 = i - u + 2. Put i, 0.3, 0.22 in decreasing order. i, 0.3, 0.22 Let h = 2.82 - 4.82. Let j be (16/(-14))/(-4) - 0. Let p = 10 - 8. Put h, p, j in ascending order. h, j, p Let s(r) = -71*r + 8024. Let b be s(113). Let p(i) = i**3 - 8*i**2 - i + 10. Let y be p(8). Sort 5, b, y, -4. -4, b, y, 5 Let n be (-306)/(-4)*12/78*13. Sort n, -0.03, -2 in decreasing order. n, -0.03, -2 Let m = -3635 - -3628. Sort -1, m, 5, -5, -2/9 in increasing order. m, -5, -1, -2/9, 5 Let x = 3587 - 10535/3. Let h = 3836/51 - x. Put h, 3, -9, -5 in descending order. 3, h, -5, -9 Let i(d) = -77*d - 3075. Let b be i(-40). Sort -1/9, -0.5, 1, b, 0.085 in decreasing order. b, 1, 0.085, -1/9, -0.5 Suppose 6*c - 33 = -39. Let z(y) = y**2 - 10*y - 1. Let o be z(9). Let m be (c/5)/(o/(-25)). Sort m, -3/4, 3. -3/4, m, 3 Let v be ((-156)/(-9) + -17)/(4/15). Sort -1/2, -5.1, -5, v, -2/23. -5.1, -5, -1/2, -2/23, v Suppose 0 = 2*k - 5*d + 4*d - 8, -2*k + 2*d = -10. Suppose -11 = k*v - 4*l + 11, -3*v + 3*l = 18. Let z be 2/(2 - (-16)/(-6)). Sort v, 5, z, -1. z, v, -1, 5 Let w = -160 + 3038/19. Let x be 4*88/(-112) + 3. Sort -5, 4, x, w. -5, x, w, 4 Suppose -305 = 41*w - 100. Put -4, -6, w, 0.5, 4 in increasing order. -6, w, -4, 0.5, 4 Suppose 182*y - 190*y + 345 = 107*y. Sort y, 4, -12. -12, y, 4 Let h(j) = j**3 + 22*j**2 - 47*j - 24. Let w be h(-24). Put 0, w, -15, 4 in decreasing order. 4, 0, -15, w Let j be 4/(-170) - 59180/(-130900). Let d = -10 + -1. Let x = d + 3. Sort 2/9, x, j, 1 in descending order. 1, j, 2/9, x Let p = -0.16 - -5.16. Let j = p - 1. Let v = -0.064 - 2.936. Put -2/7, v, j in decreasing order. j, -2/7, v Suppose 4 = -2*z - 0, 0 = -2*f - 2*z + 4. Suppose f*d - 2 = d + 4*l, l = 5*d + 8. Put -4, -50, d in increasing order. -50, -4, d Let p = 4579 + -4577. Sort 4, p, 1410 in decreasing order. 1410, 4, p Let o = 12 - 12. Suppose 0 = -f + 3*i - 16, -46*f + 4*i = -48*f + 28. Put o, f, 6 in descending order. 6, f, o Let v be 3432/(-9282) - (-2)/(-34). Suppose -5*x = -6 - 19. Suppose 2 = x*t + 27, -h = 2*t + 15. Put h, 7, -3, v in ascending order. h, -3, v, 7 Let i = -17.56 + 18. Let n = 0.04 - i. Suppose 0 = 4*u + 21 - 9. Sort -5/7, n, 5, u in increasing order. u, -5/7, n, 5 Let w be (-21)/6 + 91/14 + -5. Suppose -5*y - 5*d + 33 = -4*d, 27 = 5*y - d. Let g = y + -5. Sort w, -1, g, 5 in ascending order. w, -1, g, 5 Let n = 711933/11 + -64721. Let s = 3.2 - -0.8. Sort n, s, -3, -5/6 in descending order. s, n, -5/6, -3 Suppose i = -2*n + 3, -15 = n - 2*i - 3*i. Suppose -c + 18 = 4*u, -12*c = 4*u - 16*c - 28. Sort n, u, 41 in ascending order. n, u, 41 Suppose -20*y - 217 + 417 = 0. Put y, 1, 4, 5 in decreasing order. y, 5, 4, 1 Let l = -3 + 1.8. Let q = 1.5 + l. Suppose a - b - 29 = 3*b, 4*b = -16. Put 0.5, q, a in descending order. a, 0.5, q Suppose 13*f = -183 + 365. Let q(k) = -11*k + 136. Let h be q(f). Put 2, 0, h in increasing order. h, 0, 2 Let n(v) be the third derivative of -v**5/60 - 2*v**4/3 + 37*v**3/6 - 7*v**2. Let z be n(-18). Let p be (-3)/(z/(-3) - 805/42). Sort 2, 3, p. p, 2, 3 Let c = 29.1 - 13.6. Let d = c - 15.7. Sort -4, -2, d in increasing order. -4, -2, d Let o(t) = t**3 - 14*t**2 - 96*t. Let m be o(-5). Let c(k) = -k**2 + 9*k - 4. Let i be c(8). Put i, -9, m, -1/4 in increasing order. -9, -1/4, i, m Let w = 13673.3 - 13673. Sort -0.1, 0.5, 0, w, 0.0064 in increasing order. -0.1, 0, 0.0064, w, 0.5 Suppose 0 = 3*n - 0*n. Let u = 946 - 1011. Sort n, -2, u. u, -2, n Let c = 3/34430 - -17817513/137720. Let w = c + -129. Put 4, w, 5 in decreasing order. 5, 4, w Let p = 4.7 + -5. Suppos
{ "pile_set_name": "DM Mathematics" }
st to -0.1 in 0.4, -0.2, -1/3, -0.712? -0.2 What is the nearest to 0 in 0, 2/7, -38? 0 Which is the nearest to 1? (a) -3 (b) 1 (c) 90 b What is the closest to -4 in -0.43, 3/7, -2/3, -1? -1 Which is the closest to -1/3? (a) 3 (b) 0.5 (c) 0.1 c What is the nearest to 0.3 in 4, -0.5, -1424? -0.5 Which is the nearest to 19? (a) -2/7 (b) 3/2 (c) -2/3 b What is the nearest to 2/5 in 2, 5, -4? 2 Which is the nearest to 0? (a) 1/6 (b) -7 (c) -2/11 a What is the nearest to 1/17 in 0.5, 6, -5? 0.5 Which is the closest to -0.1? (a) -0.4 (b) -17 (c) 1 (d) 2 a Which is the closest to -1? (a) -2 (b) -2/25 (c) -8 b Which is the closest to 2/11? (a) 3/5 (b) 3 (c) -0.1 (d) -1/3 c What is the nearest to 3/4 in 4/3, 158, -2? 4/3 Which is the nearest to 4? (a) -0.01 (b) 2/9 (c) 3 c What is the nearest to 24 in 1/10, -1, 4, 5? 5 Which is the nearest to 0? (a) 4/5 (b) -4 (c) 2 a Which is the nearest to -0.2? (a) -1.2 (b) 5 (c) -4 (d) -0.5 d What is the nearest to -2/3 in 0.3, 0.1, 12? 0.1 Which is the nearest to 4? (a) -5 (b) 4 (c) 6 b Which is the closest to -12? (a) 0.3 (b) -5 (c) 3.5 b Which is the nearest to 2? (a) -0.5 (b) -8/5 (c) 5 (d) 2/21 d What is the closest to 1 in 9, 1, 4? 1 What is the closest to 1 in 0.3, 1/3, -0.4, 4? 1/3 Which is the closest to 0? (a) 12 (b) 0.1 (c) -3/4 b Which is the nearest to -2/5? (a) -0.6 (b) -2 (c) 5 (d) 1/4 a Which is the nearest to -1/3? (a) -15 (b) -0.5 (c) 1/8 b Which is the closest to 1/11? (a) -0.1 (b) -2 (c) -1/6 a What is the nearest to -9 in 0, -2/17, -1, 2? -1 What is the nearest to 2/5 in -45, -2/7, -0.3? -2/7 Which is the nearest to 2? (a) -3 (b) 2/3 (c) 0.4 (d) 3 d What is the closest to 0.6 in 1/2, -5/4, -0.01, -0.03? 1/2 Which is the closest to 151? (a) 1 (b) -2 (c) 2/15 a What is the closest to 1 in 0.2, 109, -6.2? 0.2 What is the closest to 0.1 in -1, -3, 0.5, -0.4? 0.5 Which is the nearest to 2? (a) 0.5 (b) 0.4 (c) 16/9 c What is the closest to 0 in 1/27, 16, 2? 1/27 Which is the closest to 1/3? (a) -1/3 (b) -4 (c) -5 (d) -0.03 d Which is the nearest to -0.1? (a) 13 (b) 5 (c) 2/7 (d) -1/9 d Which is the nearest to 3/8? (a) 0.4 (b) -3 (c) -1 (d) 1/4 a What is the nearest to -3 in 2/3, 0.3, 2/7, 0.32? 2/7 What is the nearest to -0.032 in 17, 0, -3? 0 What is the closest to -1 in 3, -0.3, -1? -1 What is the nearest to 10 in -1, -1/2, 144, -0.1? -0.1 What is the closest to 7 in 2, -2/3, -0.1, 0? 2 What is the closest to -0.11 in 0.4, -0.5, -5? -0.5 Which is the nearest to -2/5? (a) 0.49 (b) 4 (c) 1/4 (d) 0.07 d Which is the closest to 141? (a) 1/4 (b) -2/3 (c) -3/4 (d) -2/9 a What is the closest to -0.08 in -0.5, -1, 0.5, 1? -0.5 Which is the nearest to 10? (a) 1/7 (b) 1/2 (c) 3 c Which is the nearest to -15? (a) 0.4 (b) 4 (c) 5 a Which is the closest to 1.6? (a) -0.1 (b) 1/2 (c) -6 (d) 1/3 b Which is the closest to 1? (a) -1 (b) -2/13 (c) 1/8 (d) -5 c What is the closest to 3/5 in 0.2, 2/5, 3, 0? 2/5 What is the nearest to 8/9 in 4, 0, -5? 0 What is the nearest to -4 in -2, 24, 4? -2 Which is the closest to -5/7? (a) -5 (b) 5 (c) 4 a What is the nearest to -1/4 in 3, 0.3, -23/5, -0.1? -0.1 Which is the nearest to 0.7? (a) -34 (b) 0.2 (c) -5 b Which is the closest to -0.9? (a) 0.4 (b) 39 (c) -0.4 c What is the nearest to -1/2 in -4/9, -1/2, 0.7, -0.4? -1/2 Which is the closest to 2? (a) 569 (b) 3 (c) 5 (d) 2 d Which is the nearest to -1? (a) 0.4 (b) 2/7 (c) 0.17 (d) -0.25 d What is the nearest to 0.8 in -1/2, 4, 3, 0.1? 0.1 What is the closest to 3 in -3, -5, 4, 84? 4 What is the closest to 4/13 in 2, -2, 6, 5? 2 Which is the nearest to 1/2? (a) 0.4 (b) -1/7 (c) -0.1 (d) -4/45 a Which is the closest to 0? (a) 0.3 (b) 1.1 (c) -2/9 (d) 1/3 c Which is the nearest to 2/9? (a) -3 (b) -1.3 (c) -0.2 (d) -5 c Which is the nearest to 0.1? (a) -1/5 (b) 0 (c) 5 (d) -1 b What is the closest to 2/7 in -3/2, -5, -1/47? -1/47 Which is the nearest to 0? (a) 0.1 (b) -3 (c) 5 (d) -0.21 a Which is the closest to 15? (a) -2/13 (b) 5 (c) -0.3 (d) 1/5 b What is the closest to -4/7 in 3, 4/3, -1/5, -5? -1/5 Which is the closest to 0.01? (a) 2/5 (b) 2 (c) -247 a What is the nearest to 0.6 in 5, 0, 0.11? 0.11 What is the nearest to -2/7 in -5/3, -13.41, -3, 0? 0 Which is the nearest to -1/2? (a) 2 (b) 0.2 (c) -3/4 (d) 0.019 c What is the nearest to -0.1 in -3, 11, -20? -3 Which is the closest to -0.09? (a) 3 (b) -3 (c) -2/19 c Which is the closest to -1/2? (a) -151 (b) 3 (c) -2 c Which is the closest to -3/7? (a) -1 (b) 5/2 (c) 4 (d) 0.5 a What is the nearest to 3 in 2/17, 3, 2/11? 3 What is the closest to 1 in 1/5, -1/5, -1, -10? 1/5 Which is the nearest to 3? (a) 7 (b) 0 (c) 2/15 c Which is the closest to -3? (a) -0.1 (b) 5 (c) -4 (d) 0.5 c What is the nearest to 1 in 0.5, 1, 5? 1 What is the nearest to 0.1 in 5, -0.05, 2/13? 2/13 Which is the nearest to 0? (a) -3 (b) -1 (c) 5 (d) -0.06 d Which is the closest to -1/4? (a) 4 (b) -3 (c) -3/13 c Which is the closest to 1/3? (a) -1.5 (b) -2/7 (c) 2/51 (d) 5 c What is the nearest to 1/3 in 8, 10, -5? -5 Which is the nearest to 2/5? (a) -4 (b) -1/4 (c) -1/5 (d) 47 c Which is the nearest to -2/5? (a) -0.4 (b) 3/7 (c) -3 (d) 3/4 a What is the closest to 1 in 0.1, 5, 0, -4? 0.1 Which is the nearest to -4? (a) 5 (b) 0.6 (c) -5 c What is the closest to 1 in 4/5, 4, -5, 1/49? 4/5 Which is the nearest to 0.1? (a) -0.06 (b) 2/9 (c) 0.082 c What is the closest to -5/3 in -1/8, -0.5, -3? -0.5 What is the closest to -1/4 in 1.2, 2/9, 18? 2/9 What is the closest to -0.1 in 3, 7.2, -0.3, 4? -0.3 Which is the closest to 1? (a) 2/23 (b) -5 (c) -31 (d) -0.2 a What is the closest to 38 in -3, -1/4, 4? 4 What is the nearest to -1/2 in 0, 123, -0.2? -0.2 What is the closest to 2 in 2/3, -0.4, -0.1? 2/3 What is the nearest to -32 in -144, -2/11, -2/3? -2/3 What is the closest to 8 in 3, -2, -0.01, -2/9? 3 Which is the closest to 1/3? (a) -4 (b) 1/4 (c) 14323 b What is the closest to -0.1 in 0.2, 5, 0.06, 2/13? 0.06 What is the closest to -56 in -4, -3, 3? -4 Which is the nearest to 2? (a) -2/7 (b) 1/10 (c) 8 (d) -3 b What is the nearest to 2 in -2, -4, -0.087? -0.087 What is the nearest to 0.05 in -0.18, 1, -2, 2? -0.18 Which is the closest to -8? (a) -4/3 (b) -0.2 (c) -2/5 (d) -0.3 a Which is the closest to 0? (a) -2 (b) 36 (c) 0.5 (d) 7.6 c What is the nearest to -2/3 in 0, 3, -35/12, -1/4? -1/4 Which is the nearest to 3.8? (a) -0.3 (b) 3 (c) 0.9 b What is the closest to -0.2 in 1.8, -2/5, 3? -2/5 Which is the nearest to -2? (a) -0.5 (b) -0.3 (c) -1 c Which is the closest to 0? (a) 1 (b) -1/3 (c) -4/9 (d) -4 b Which is the nearest to -2/15? (a) -1 (b) 1 (c) -5 a Which is the nearest to 2/3? (a) -0.08 (b) 1/2 (c) -6 (d) 4 b Which is the nearest to -0.1? (a) 3 (b) -1 (c) -8 (d) -89 b What is the closest to -8 in 3, 4, -0.4? -0.4 What is the closest to -0.1 in 0.3, 0, 4.4, -0.4? 0 Which is the closest to 2/5? (a) -1 (b) 3 (c) 256 a What is the closest to -1.2 in 1/2, 1, 2/7? 2/7 What is the closest to 2/9 in 18, -0.5, 4? -0.5 What is the closest to 0.2 in 3, -3, 16, -24? 3 Which is the closest to 4? (a) 2 (b) -2 (c) -7 a What is the closest to -2 in 0, 5, -1/5, 0.05? -1/5 Which is the nearest to -3? (a) 0.3 (b) -0.1 (c) -1 (d) 2/9 c What is the closest to -2/13 in -2/5, 5, 0.2, -4? -2/5 What is the closest to 0.05 in 0.3, 0.5, -5, -2? 0.3 Which is the nearest to -19? (a) -4/3 (b) 3 (c) 5 (d) -5 d What is the closest to 3/14 in 1/9, -3, 5? 1/9 What is the closest to 1/2 in 0.5, 0.04, 0? 0.5 What is the nearest to 0.1 in 0.4, -25, -4? 0.4 What is the nearest to 0.8 in 0.26, -1/7, -2/5, -2/9? 0.26 Which is the nearest to 5/9? (a) -0.5 (b) 0.4 (c) -5 b Which is the nearest to 9/2? (a) -5 (b) -9 (c) 0.3 c Which is the nearest to 0.06? (a) 22 (b) -2/3 (c) 2/11 c Which is the closest to -4? (a) -0.16 (b) -0.3 (c) -1/11 (d) 7 b Which is the nearest to 0.3? (a) -8 (b) 0 (c) -11 b Which is the closest to -2/7? (a) 6/13 (b) 5 (c) 0.3 c Which is the nearest to 1/5? (a) 2/5 (b) 0.9 (c) -8/7 (d) 20 a Which is the nearest to -47? (a) -4 (b) -1 (c) 1/9 a
{ "pile_set_name": "DM Mathematics" }
thousands digit of 219765? 2 What is the units digit of 8951323? 3 What is the millions digit of 1253940? 1 What is the thousands digit of 2014067? 4 What is the ten thousands digit of 10600840? 0 What is the tens digit of 2365492? 9 What is the hundred thousands digit of 235161? 2 What is the hundreds digit of 5122971? 9 What is the hundreds digit of 196375? 3 What is the hundred thousands digit of 15762256? 7 What is the units digit of 1434070? 0 What is the tens digit of 8185995? 9 What is the hundreds digit of 95683? 6 What is the tens digit of 198389? 8 What is the hundreds digit of 5153878? 8 What is the units digit of 7812343? 3 What is the ten thousands digit of 298370? 9 What is the hundred thousands digit of 1696564? 6 What is the ten thousands digit of 4998140? 9 What is the tens digit of 12136? 3 What is the hundred thousands digit of 12860842? 8 What is the ten thousands digit of 17503335? 0 What is the units digit of 10988112? 2 What is the tens digit of 311263? 6 What is the thousands digit of 649360? 9 What is the units digit of 9540190? 0 What is the ten thousands digit of 539869? 3 What is the thousands digit of 2294227? 4 What is the hundred thousands digit of 1736254? 7 What is the thousands digit of 193872? 3 What is the units digit of 124458? 8 What is the hundreds digit of 1218771? 7 What is the thousands digit of 3777387? 7 What is the thousands digit of 15456043? 6 What is the tens digit of 611444? 4 What is the thousands digit of 834161? 4 What is the hundreds digit of 66151? 1 What is the ten thousands digit of 144243? 4 What is the ten thousands digit of 67341? 6 What is the hundreds digit of 19978? 9 What is the hundreds digit of 82368? 3 What is the hundreds digit of 821433? 4 What is the thousands digit of 590677? 0 What is the millions digit of 2046067? 2 What is the hundred thousands digit of 3735776? 7 What is the units digit of 12753495? 5 What is the thousands digit of 475041? 5 What is the ten millions digit of 10076620? 1 What is the ten thousands digit of 98791? 9 What is the units digit of 189965? 5 What is the hundreds digit of 22984600? 6 What is the units digit of 433429? 9 What is the hundred thousands digit of 652061? 6 What is the thousands digit of 77582? 7 What is the millions digit of 4206649? 4 What is the ten thousands digit of 16124424? 2 What is the ten thousands digit of 1402850? 0 What is the hundreds digit of 9734? 7 What is the hundreds digit of 1427005? 0 What is the hundreds digit of 3306328? 3 What is the thousands digit of 572248? 2 What is the units digit of 313705? 5 What is the ten thousands digit of 17654225? 5 What is the tens digit of 6656373? 7 What is the tens digit of 3293588? 8 What is the hundred thousands digit of 2022866? 0 What is the hundred thousands digit of 519647? 5 What is the tens digit of 191500? 0 What is the ten thousands digit of 2312941? 1 What is the hundred thousands digit of 4949895? 9 What is the tens digit of 215660? 6 What is the hundred thousands digit of 9739071? 7 What is the ten thousands digit of 27094268? 9 What is the thousands digit of 7960778? 0 What is the units digit of 13090798? 8 What is the hundred thousands digit of 2168751? 1 What is the hundreds digit of 34974001? 0 What is the hundred thousands digit of 8062441? 0 What is the ten thousands digit of 762153? 6 What is the ten thousands digit of 19626246? 2 What is the tens digit of 1097433? 3 What is the units digit of 72674? 4 What is the thousands digit of 42058? 2 What is the ten thousands digit of 59333? 5 What is the ten thousands digit of 1151033? 5 What is the ten thousands digit of 3214106? 1 What is the millions digit of 1785349? 1 What is the tens digit of 4042310? 1 What is the hundred thousands digit of 8989454? 9 What is the units digit of 48963? 3 What is the hundred thousands digit of 127205? 1 What is the units digit of 47687? 7 What is the hundreds digit of 743198? 1 What is the tens digit of 534008? 0 What is the tens digit of 24360806? 0 What is the units digit of 2612019? 9 What is the thousands digit of 31513182? 3 What is the thousands digit of 693243? 3 What is the tens digit of 4737531? 3 What is the hundred thousands digit of 552171? 5 What is the millions digit of 1263660? 1 What is the millions digit of 10176370? 0 What is the units digit of 1591529? 9 What is the hundreds digit of 218023? 0 What is the hundreds digit of 4103695? 6 What is the hundred thousands digit of 1109533? 1 What is the ten thousands digit of 812554? 1 What is the tens digit of 991329? 2 What is the units digit of 510623? 3 What is the tens digit of 2536? 3 What is the hundreds digit of 9164897? 8 What is the ten thousands digit of 10159894? 5 What is the tens digit of 896275? 7 What is the ten thousands digit of 744270? 4 What is the ten thousands digit of 534818? 3 What is the hundred thousands digit of 1062077? 0 What is the thousands digit of 1363304? 3 What is the hundreds digit of 151453? 4 What is the thousands digit of 211602? 1 What is the units digit of 3080836? 6 What is the hundreds digit of 1580822? 8 What is the ten thousands digit of 9275139? 7 What is the tens digit of 151? 5 What is the ten thousands digit of 516775? 1 What is the hundred thousands digit of 992278? 9 What is the ten thousands digit of 88033? 8 What is the millions digit of 5646718? 5 What is the millions digit of 3008509? 3 What is the millions digit of 21435939? 1 What is the tens digit of 140115? 1 What is the ten thousands digit of 27826900? 2 What is the ten thousands digit of 4009843? 0 What is the hundred thousands digit of 1445839? 4 What is the hundreds digit of 4880738? 7 What is the thousands digit of 1737913? 7 What is the thousands digit of 788080? 8 What is the ten thousands digit of 1305613? 0 What is the hundred thousands digit of 967496? 9 What is the units digit of 31638122? 2 What is the hundreds digit of 2862773? 7 What is the units digit of 15226844? 4 What is the millions digit of 3113360? 3 What is the millions digit of 3278704? 3 What is the hundred thousands digit of 7250812? 2 What is the hundreds digit of 428198? 1 What is the units digit of 10255979? 9 What is the units digit of 10569405? 5 What is the hundreds digit of 3882479? 4 What is the hundred thousands digit of 1596688? 5 What is the millions digit of 10742671? 0 What is the hundreds digit of 4139044? 0 What is the tens digit of 249411? 1 What is the units digit of 222567? 7 What is the units digit of 14042430? 0 What is the ten millions digit of 11287034? 1 What is the hundreds digit of 601587? 5 What is the hundred thousands digit of 4445225? 4 What is the ten thousands digit of 156596? 5 What is the ten thousands digit of 270231? 7 What is the tens digit of 2033588? 8 What is the units digit of 16863457? 7 What is the units digit of 935096? 6 What is the thousands digit of 122140? 2 What is the ten thousands digit of 3712751? 1 What is the tens digit of 2386052? 5 What is the ten thousands digit of 23768? 2 What is the tens digit of 6866229? 2 What is the thousands digit of 4399531? 9 What is the ten thousands digit of 548548? 4 What is the ten thousands digit of 30266? 3 What is the thousands digit of 2093965? 3 What is the hundred thousands digit of 186478? 1 What is the hundred thousands digit of 451020? 4 What is the hundred thousands digit of 610259? 6 What is the millions digit of 10370817? 0 What is the thousands digit of 21533139? 3 What is the millions digit of 5573327? 5 What is the thousands digit of 107488? 7 What is the hundred thousands digit of 17392532? 3 What is the units digit of 2915182? 2 What is the thousands digit of 651587? 1 What is the units digit of 116041? 1 What is the hundred thousands digit of 5443922? 4 What is the units digit of 6068272? 2 What is the thousands digit of 12506397? 6 What is the ten thousands digit of 1660793? 6 What is the ten thousands digit of 268528? 6 What is the units digit of 4138585? 5 What is the hundreds digit of 160018? 0 What is the hundreds digit of 8682279? 2 What is the hundreds digit of 8533422? 4 What is the tens digit of 510976? 7 What is the hundreds digit of 858302? 3 What is the hundred thousands digit of 2083913? 0 What is the thousands digit o
{ "pile_set_name": "DM Mathematics" }
-2924 What is the second derivative of 808*q**2 - 44*q + 1 wrt q? 1616 What is the second derivative of -2*l**4 + 9*l**3 + 17*l**2 + 361*l + 10? -24*l**2 + 54*l + 34 Find the second derivative of -2*m**2*n*p - 11*m**2*n*s + 4*m**2*p*s**2 + 3*m*n*p*s + 8*m*n*s**2 - m*n*s + 2*m*p*s + 2*m*p + 4*p*s**2 wrt s. 8*m**2*p + 16*m*n + 8*p Differentiate 28*n**2*v**2 + 3*n**2*v + 207*n**2 with respect to v. 56*n**2*v + 3*n**2 Find the third derivative of -27*l*o**3 + 14*l*o - 20*l + 16*o**3 + 2*o**2 wrt o. -162*l + 96 What is the second derivative of 3*a*r*x**2 - a*r*x + 2*a*r + 26*a*x**2 - a + r*x**3 - 7*x**3 - 38*x + 1 wrt x? 6*a*r + 52*a + 6*r*x - 42*x What is the derivative of -220*l*m*s**3 + 2*l*m + 241*m*s**2 - 23*s**3 wrt l? -220*m*s**3 + 2*m What is the third derivative of -6636*q**4 + q**3 - 6699*q**2 wrt q? -159264*q + 6 Find the third derivative of 105*b**4*r + 2*b**3*r - 3*b**2*r - 461*r wrt b. 2520*b*r + 12*r Differentiate 13*i**3*x - 2*i**3 - 5*i*x - 231*i with respect to x. 13*i**3 - 5*i What is the third derivative of -283*l*s**3 + l*s**2 - 78*l wrt s? -1698*l What is the first derivative of 2*n**2*p**2 + 65*n*p - 32*p**2 wrt n? 4*n*p**2 + 65*p Differentiate f*h*n*o + 61*f*n - 3*f*o**2 - 2*f*o - 36*h*n*o**2 + 2*h*o**2 - 2*o**2 wrt h. f*n*o - 36*n*o**2 + 2*o**2 What is the second derivative of 6*b**4 + b**3 + 6*b**2*w - 3*b*w + 16*b wrt b? 72*b**2 + 6*b + 12*w What is the second derivative of g**4*p - 263*g**3 + g**2*p + 14*g*p + 3*g + p wrt g? 12*g**2*p - 1578*g + 2*p What is the third derivative of 1235*r**3*s**3 - 402*r**3*s - r**2*s**2 wrt s? 7410*r**3 What is the third derivative of -40*g**3*i**3*x**2 - 2*g**3*x**3 - 2*g**2*i*x**2 - 20*g**2*x**3 + g*i**3*x**2 wrt g? -240*i**3*x**2 - 12*x**3 Differentiate -1087*a*k**2 - 3*k**2 - 408 wrt a. -1087*k**2 Differentiate 1505*q**2 - q + 3923. 3010*q - 1 Find the second derivative of 541*l**3*s**3 - 2*l**3 - 2*l**2*s**5 - l**2*s - 283*l wrt s. 3246*l**3*s - 40*l**2*s**3 What is the third derivative of -59*i**2*u*v**3 - 3*i**2*v**2 + 3*i*u*v**3 - 28*u*v**2 wrt v? -354*i**2*u + 18*i*u What is the derivative of 26632*h + 29152? 26632 What is the third derivative of -1565*g**6 - 63*g**2? -187800*g**3 What is the first derivative of 3*d*m**2*v**2 - 2*d*m**2 + 18*d*v**2 + 2*m**2*v**2 + 32*m**2 wrt v? 6*d*m**2*v + 36*d*v + 4*m**2*v What is the second derivative of -10*m**2*r**3 - 2*m**2*r**2 + m**2*r + 18*m*r**3 + 18*m + 4 wrt r? -60*m**2*r - 4*m**2 + 108*m*r What is the first derivative of 390*a**2 - 662 wrt a? 780*a What is the derivative of 348*c**3*q - 1731*c**3 - 6*c**2*q**3 wrt q? 348*c**3 - 18*c**2*q**2 Find the second derivative of 15*a**2*i*l**2*r**2 + 14*a**2*i - 2*a**2*r**2 - a*i*l**2*r - 42*a*i*l**2 + 3*a*i*l*r + 3*a*r**2 + r**2 wrt a. 30*i*l**2*r**2 + 28*i - 4*r**2 Find the third derivative of 123*f**2*i**4 + 24*f**2*i**2 - 43*f**2 + 5*f*i**4 wrt i. 2952*f**2*i + 120*f*i What is the third derivative of 24193*d**3*n*r**2*y + 10*d**2*n*r**2 - 4*d**2*r**2 - d*r**2*y - 2*d*r - 8*d*y - 2*n*y wrt d? 145158*n*r**2*y Find the second derivative of -8688*c**2 + 90*c + 11. -17376 Differentiate 14*j**4 + 17*j**2 - 2227 with respect to j. 56*j**3 + 34*j Find the third derivative of 13445*t**6 + 892*t**2 - 2. 1613400*t**3 Differentiate -8*s**2 + 31*s - 193 wrt s. -16*s + 31 Find the second derivative of -f**4 - 1089*f**2 - 5*f - 223 wrt f. -12*f**2 - 2178 What is the second derivative of 4*k**3 - 2933*k**2 - 3591*k? 24*k - 5866 What is the first derivative of 51*n*q**2 - 3*n - 274*q**2 wrt n? 51*q**2 - 3 What is the derivative of 3033*c**3 + 3685? 9099*c**2 What is the third derivative of -2*j**4*z**2 - 23*j**4*z - j**3*z**2 + 4*j**2 - j*z**2 + 2*z**2 wrt j? -48*j*z**2 - 552*j*z - 6*z**2 What is the second derivative of f**3*k**3 + 49*f**3*k**2 + 5*f**3*k - 6*f**3 - 12*f*k**2 wrt k? 6*f**3*k + 98*f**3 - 24*f Differentiate -a*u + 4241*a - 1854*u**3 with respect to u. -a - 5562*u**2 Find the first derivative of -24*d**2*i**2*j + 2*d*i**2 - 3*d*j**2 + 116*i**2*j**2 - 2*i**2*j + 2*j wrt d. -48*d*i**2*j + 2*i**2 - 3*j**2 Differentiate 103*z**4 + 6*z**3 + 1514 wrt z. 412*z**3 + 18*z**2 What is the second derivative of 4110*o**2 - 38*o + 19 wrt o? 8220 What is the derivative of -722*m**2 - 2273? -1444*m Find the second derivative of -c**4*o + 173*c**3*o - 3*c + 2*o - 30 wrt c. -12*c**2*o + 1038*c*o Find the third derivative of 12*w**4 + 89*w**3 - 2816*w**2 wrt w. 288*w + 534 What is the third derivative of 58*q**4*w - 3*q**4 - 1284*q**2*w wrt q? 1392*q*w - 72*q What is the first derivative of 1433*y**3 - y**2 + 2808? 4299*y**2 - 2*y What is the third derivative of 18*t**5 - 3*t**3 - 105*t**2? 1080*t**2 - 18 What is the third derivative of 3436*k**6 + 4321*k**2 wrt k? 412320*k**3 What is the second derivative of -9*u**2*v**2*w**2 + 37*u**2*v - 8*u*v**2*w**2 + 3*u*v*w**2 - 12*u*w wrt u? -18*v**2*w**2 + 74*v Find the third derivative of -7*d*p**3*v**3 - d*p**2*v**2 - 54*d*p**2*v - 2*p**3*v - p**2*v**2 + 2*p*v**3 wrt p. -42*d*v**3 - 12*v What is the second derivative of m**4 + 19*m**3 + 3*m - 4 wrt m? 12*m**2 + 114*m What is the derivative of 3*c*w*y**3 + 12*c*y**3 + 3*c*y**2 - 47*w*y**3 - 4*y**3 wrt w? 3*c*y**3 - 47*y**3 What is the second derivative of 8*z**4 - 19*z - 7? 96*z**2 Find the second derivative of 128*d**3 + 2*d**2*n + 4*d**2 - 344*d*n + 3*d wrt d. 768*d + 4*n + 8 Find the first derivative of 35*i**4 + 7*i**2*o - 4539*o wrt i. 140*i**3 + 14*i*o What is the first derivative of 2*h**3*o + 870*h**2*o + 57*o - 1 wrt h? 6*h**2*o + 1740*h*o Find the first derivative of 32*i**3 + i*p + 6*p - 6 wrt i. 96*i**2 + p What is the third derivative of 867*o**3 - 684*o**2 wrt o? 5202 Find the third derivative of -353*g**3 - 456*g**2. -2118 What is the second derivative of l**2*w**3 - l**2*w**2 + 78*l**2*w - 16*w**5 wrt w? 6*l**2*w - 2*l**2 - 320*w**3 Differentiate k**2*l + 125*k**2*x - 2*k*l*x - 2*l*x**2 + 2*l*x - 10*l wrt x. 125*k**2 - 2*k*l - 4*l*x + 2*l Differentiate -a*p**3 + 2*a*p**2*w - 1714*a*w + 15*p**3*w + 3*p**3 + 4*p**2*w - 2*p*w wrt a. -p**3 + 2*p**2*w - 1714*w Find the third derivative of -2598*j**3 - 3001*j**2. -15588 What is the second derivative of 116*k**5 - k + 9? 2320*k**3 What is the third derivative of -3341*c**3*z**4 + 7*c**3*z - 2*c**2*z**5 + 17*c*z**2 - 9*c*z wrt z? -80184*c**3*z - 120*c**2*z**2 Find the second derivative of -626*b**3*y - b*y + 66 wrt b. -3756*b*y Differentiate -g*k - 532*g - 4*k**2 wrt k. -g - 8*k What is the third derivative of 2*p**4*w**3 - 3*p**3*w**3 - p**2*w**2 + 599*w**3 wrt p? 48*p*w**3 - 18*w**3 Find the first derivative of -1155*f**3 - 3*f**2 - 29 wrt f. -3465*f**2 - 6*f What is the second derivative of 7*s**5 + 22*s**3 - 1036*s? 140*s**3 + 132*s What is the third derivative of 8708*h**2*s**3 - 86*h**2*s**2 + 39*h*s**2 wrt s? 52248*h**2 What is the third derivative of -479*a**2*g**3 - 1077*a**2 + 2*g**3 + g**2 wrt g? -2874*a**2 + 12 What is the third derivative of -49*b**6*h + b**3*h**2 - b**2*h**2 - 321*b*h**2 - 2*h**2 wrt b? -5880*b**3*h + 6*h**2 What is the derivative of 7*n**3 - 2*n**2 + 67 wrt n? 21*n**2 - 4*n What is the third derivative of -5*j**3*k - 16*j**3 - 3*j**2 + 72*j*k - j wrt j? -30*k - 96 Find the third derivative of -198*r**3 - 108*r**2 wrt r. -1188 What is the third derivative of -182*d**5 + 132*d**2? -10920*d**2 What is the first derivative of -49*n*q**2*t - 3*n*q**2 - 2*n*q*t - 4*q**2*t - 5*q*t + 240*q wrt n? -49*q**2*t - 3*q**2 - 2*q*t What is the derivative of c**3*h**2 - 4*c**3*h*n - 5*c**3*h + 9*c**3 + 2*c**2*h**2*x + 5*c**2*n*x - c*h**2*n wrt n? -4*c**3*h + 5*c**2*x - c*h**2 What is the first derivative of 3*i**4*j + 38*i*j**2 + 19*j**2 - 19*j wrt i? 12*i**3*j + 38*j**2 What is the derivative of 110*k**2 + 18*k - 533 wrt k? 220*k + 18 Find the third derivative of 79*a*k**2*l**3 - a*k**2*l**2 - a*k**2*l + a*k*l**3 + a*k*l**2 + 2*a*l**3 + 5*k*l**2 wrt l. 474*a*k**2 + 6*a*k + 12*a Differentiate -3333*g*y + 9171*y wrt g. -3333*y What is the second derivative of -5*y**4 + 27*y**3 + 433*y? -60*y**2 + 162*y What is the derivative of 230*g**3*y**2 + 6*g**3 - 8*g**2 - g*y**2 wrt y? 460*g**3*y - 2*g*y Differentiate 295*i**4 + 251 wrt i. 1180*i**3 Differentiate 4*f**2*q*v**3 + 4*f**2*v**3 + 28*f**2*v + q*v**3 - q wrt q. 4*f**2*v**3 + v**3 - 1 Fi
{ "pile_set_name": "DM Mathematics" }
culate the smallest common multiple of 8 and 3200. 3200 Calculate the common denominator of 28/5181 and -71/942. 10362 Calculate the lowest common multiple of 27 and 3111. 27999 Find the common denominator of -19/352 and 77/248. 10912 What is the least common multiple of 4278 and 48? 34224 What is the common denominator of -55/14 and -19/5366? 37562 Calculate the common denominator of -113/50 and -38/45. 450 Calculate the lowest common multiple of 63 and 1533. 4599 What is the lowest common multiple of 12 and 282? 564 Calculate the common denominator of -31/30 and 67/246. 1230 Calculate the common denominator of 143/2424 and 23/6. 2424 What is the common denominator of 43/52 and 75/8? 104 Calculate the common denominator of -13/355 and -14/213. 1065 What is the least common multiple of 4400 and 11? 4400 Find the common denominator of 139/174 and -23/9. 522 Find the common denominator of -65/171 and 79/54. 1026 Calculate the common denominator of -17/5715 and -46/27. 17145 Calculate the lowest common multiple of 4 and 43. 172 Find the common denominator of -27/116 and -49/22. 1276 Find the common denominator of -19/15 and 91/48. 240 Calculate the common denominator of 41/258 and -47/6. 258 Calculate the common denominator of -109/1956 and -107/48. 7824 What is the smallest common multiple of 56 and 672? 672 What is the smallest common multiple of 11 and 1? 11 What is the smallest common multiple of 924 and 1260? 13860 Calculate the common denominator of -71/120 and -97/552. 2760 Calculate the smallest common multiple of 30 and 90. 90 What is the lowest common multiple of 2344 and 94? 110168 What is the smallest common multiple of 20 and 40? 40 Find the common denominator of 9/8 and 85/18. 72 Calculate the common denominator of 41/10 and -187/120. 120 Calculate the smallest common multiple of 788 and 4. 788 Calculate the lowest common multiple of 48 and 128. 384 Calculate the common denominator of -7/10 and 13/1238. 6190 Find the common denominator of 23/8 and 15/31. 248 Find the common denominator of 62/975 and 83/50. 1950 Calculate the least common multiple of 144 and 36. 144 Calculate the common denominator of 173/84 and 1/924. 924 Calculate the lowest common multiple of 48 and 448. 1344 What is the smallest common multiple of 4813 and 6? 28878 What is the lowest common multiple of 114 and 6? 114 What is the common denominator of -37/30 and 47/390? 390 What is the common denominator of -27/4640 and 109/6? 13920 Calculate the least common multiple of 2 and 2. 2 Calculate the least common multiple of 8 and 138. 552 Find the common denominator of -53/3003 and 86/819. 9009 Find the common denominator of 167/480 and 27/32. 480 Calculate the common denominator of 57/4 and -4/131. 524 Calculate the common denominator of 21/2 and -59/10894. 10894 What is the common denominator of -27/5 and -32/25? 25 Find the common denominator of -77/50 and -73/80. 400 What is the smallest common multiple of 168 and 504? 504 What is the common denominator of -137/110 and 73/490? 5390 What is the smallest common multiple of 140 and 140? 140 What is the least common multiple of 6422 and 6? 19266 Find the common denominator of -93/220 and -67/22. 220 What is the least common multiple of 690 and 60? 1380 What is the common denominator of 77/540 and -26/33? 5940 Calculate the least common multiple of 7316 and 354. 21948 Calculate the common denominator of 3/1610 and 23/3. 4830 What is the common denominator of -127/12 and -113/3372? 3372 Calculate the smallest common multiple of 1416 and 12. 1416 What is the smallest common multiple of 2304 and 147? 112896 What is the least common multiple of 25 and 537? 13425 Calculate the common denominator of 1/2625 and -30/49. 18375 What is the lowest common multiple of 18 and 18? 18 What is the common denominator of -107/154 and -81/28? 308 Find the common denominator of 2/53 and 79/32. 1696 Calculate the smallest common multiple of 240 and 48. 240 Calculate the smallest common multiple of 13604 and 72. 244872 Calculate the common denominator of -111/322 and 37/4. 644 What is the common denominator of 107/20 and -25/28? 140 Calculate the smallest common multiple of 531 and 45. 2655 Calculate the least common multiple of 1804 and 2296. 25256 What is the common denominator of 69/4 and -71/3444? 3444 Calculate the lowest common multiple of 1120 and 36. 10080 Calculate the common denominator of 85/1956 and 113/2934. 5868 Calculate the common denominator of 111/400 and -59/45. 3600 Calculate the smallest common multiple of 24 and 19. 456 Calculate the lowest common multiple of 2232 and 18. 2232 Find the common denominator of -91/384 and -89/192. 384 What is the common denominator of -151/48 and -187/1440? 1440 Calculate the common denominator of -1/12 and -91/30. 60 What is the common denominator of 51/28 and 23/16? 112 Calculate the smallest common multiple of 54 and 420. 3780 Calculate the least common multiple of 11 and 110. 110 Calculate the smallest common multiple of 1150 and 230. 1150 Calculate the smallest common multiple of 48 and 108. 432 Find the common denominator of 7/36 and -181/120. 360 What is the common denominator of 11/9410 and 115/13174? 65870 Find the common denominator of -10/51 and 137/10284. 174828 Calculate the least common multiple of 646 and 7. 4522 Calculate the smallest common multiple of 48 and 264. 528 Find the common denominator of 41/24 and 43/68. 408 Calculate the lowest common multiple of 16 and 1456. 1456 What is the common denominator of 113/598 and 121/78? 1794 What is the lowest common multiple of 110 and 9? 990 Calculate the common denominator of 25/216 and 109/618. 22248 Calculate the lowest common multiple of 110 and 30. 330 Calculate the smallest common multiple of 2682 and 33. 29502 Calculate the least common multiple of 88 and 104. 1144 What is the least common multiple of 464 and 56? 3248 What is the least common multiple of 176 and 880? 880 Calculate the common denominator of 109/810 and 53/3. 810 Calculate the common denominator of 67/1058 and -91/506. 11638 What is the least common multiple of 66 and 135? 2970 Find the common denominator of -197/330 and -31/275. 1650 What is the smallest common multiple of 1880 and 2820? 5640 Calculate the lowest common multiple of 1094 and 22. 12034 Find the common denominator of 74/321 and 8/3. 321 Calculate the smallest common multiple of 803 and 584. 6424 What is the smallest common multiple of 4 and 553? 2212 Calculate the common denominator of -28/15 and -82/315. 315 Calculate the common denominator of 61/12 and 169/60. 60 Calculate the lowest common multiple of 104 and 112. 1456 What is the lowest common multiple of 108 and 1464? 13176 Calculate the smallest common multiple of 8 and 210. 840 What is the common denominator of 45/4624 and -51/128? 36992 Calculate the common denominator of -61/4 and 27/16. 16 What is the common denominator of 15/14 and -5/3346? 3346 What is the least common multiple of 145 and 232? 1160 Calculate the least common multiple of 14 and 74. 518 What is the lowest common multiple of 6 and 14972? 44916 Calculate the least common multiple of 794 and 62. 24614 Find the common denominator of 71/72 and 53/108. 216 What is the smallest common multiple of 42 and 160? 3360 What is the smallest common multiple of 168 and 696? 4872 What is the smallest common multiple of 72 and 216? 216 What is the smallest common multiple of 8 and 5274? 21096 Calculate the common denominator of 23/505 and -41/20. 2020 What is the least common multiple of 8 and 1099? 8792 Calculate the common denominator of 149/18 and -43/24. 72 What is the smallest common multiple of 1160 and 50? 5800 Find the common denominator of 89/45 and 69/38. 1710 Find the common denominator of 61/16 and 25/3048. 6096 Find the common denominator of 79/3668 and 37/140. 18340 Calculate the smallest common multiple of 792 and 24. 792 Find the common denominator of 79/9720 and 5/168. 68040 What is the lowest common multiple of 4400 and 3080? 30800 What is the smallest common multiple of 9 and 240? 720 What is the least common multiple of 608 and 76? 608 What is the lowest common multiple of 14 and 64? 448 Find the common denominator of 35/256 and 41/704. 2816 Calculate the low
{ "pile_set_name": "DM Mathematics" }
nd 6? 6 What is the greatest common divisor of 3558540 and 2286? 762 What is the greatest common divisor of 128 and 53740? 4 What is the greatest common factor of 2016 and 3312? 144 What is the greatest common divisor of 94 and 540641? 47 What is the highest common factor of 63961 and 4843? 167 What is the greatest common factor of 3021 and 10176? 159 Calculate the greatest common divisor of 3932 and 16. 4 What is the highest common divisor of 68666 and 26? 26 Calculate the highest common factor of 3371 and 7. 1 What is the greatest common divisor of 362 and 655582? 362 What is the greatest common divisor of 868 and 10290? 14 What is the greatest common divisor of 76467 and 6177? 213 What is the highest common factor of 36301 and 31? 31 Calculate the greatest common factor of 5324 and 3652. 44 Calculate the highest common divisor of 189566 and 2392. 598 Calculate the greatest common divisor of 760418 and 456. 38 Calculate the greatest common factor of 1650 and 30930. 30 Calculate the greatest common factor of 208 and 10216. 8 What is the greatest common divisor of 452 and 76? 4 Calculate the highest common factor of 295 and 465451. 59 Calculate the greatest common factor of 87951 and 3306. 57 What is the highest common divisor of 672 and 1882384? 112 What is the greatest common divisor of 885729 and 507? 507 Calculate the greatest common divisor of 195584 and 1152. 128 What is the highest common divisor of 15531 and 1023? 93 What is the greatest common factor of 20 and 159170? 10 What is the greatest common factor of 14183452 and 1828? 1828 What is the highest common factor of 1240 and 6640? 40 What is the highest common factor of 2838 and 770646? 258 What is the highest common factor of 801 and 77074? 89 What is the greatest common factor of 60 and 32265? 15 What is the greatest common divisor of 1439 and 4963111? 1439 What is the greatest common factor of 120 and 3343800? 120 Calculate the greatest common divisor of 1032 and 39560. 344 Calculate the highest common divisor of 50784 and 5856. 96 What is the greatest common factor of 459177 and 6? 3 What is the highest common divisor of 2512 and 544? 16 Calculate the highest common divisor of 43190 and 51030. 70 Calculate the greatest common factor of 8172 and 612. 36 Calculate the greatest common divisor of 1309 and 26894. 119 Calculate the greatest common divisor of 128863 and 3731. 287 What is the greatest common divisor of 561820 and 280? 140 Calculate the highest common divisor of 7220 and 164540. 380 What is the greatest common factor of 16100 and 5? 5 What is the greatest common divisor of 2 and 1597492? 2 What is the highest common factor of 695 and 453835? 695 What is the highest common factor of 15509 and 351? 13 Calculate the greatest common divisor of 98 and 284494. 98 What is the highest common divisor of 129 and 68843? 43 What is the greatest common factor of 2954 and 16282? 14 What is the highest common factor of 1230 and 62220? 30 What is the greatest common factor of 9020530 and 30? 10 What is the highest common divisor of 717173 and 141? 47 What is the greatest common divisor of 41 and 117219? 41 What is the greatest common divisor of 40410 and 5130? 90 Calculate the highest common divisor of 41 and 1699573. 41 What is the greatest common factor of 5120 and 1320? 40 What is the highest common factor of 154 and 35354? 22 Calculate the highest common divisor of 112 and 245028. 28 What is the highest common divisor of 10034 and 9? 1 Calculate the highest common divisor of 99232 and 272. 16 Calculate the greatest common divisor of 808 and 148312. 8 What is the greatest common factor of 5900 and 475? 25 What is the highest common divisor of 25100 and 169676? 1004 Calculate the highest common divisor of 56 and 63126. 14 Calculate the highest common divisor of 21504 and 4368. 336 What is the greatest common divisor of 635315 and 488? 61 Calculate the highest common divisor of 285 and 16891. 19 What is the greatest common divisor of 30 and 30075? 15 What is the greatest common divisor of 78 and 160862? 26 Calculate the highest common factor of 2310 and 346962. 462 Calculate the highest common divisor of 9 and 231543. 9 What is the greatest common factor of 19886 and 2318? 122 What is the highest common divisor of 1823392 and 48? 16 What is the highest common divisor of 10369 and 2? 1 What is the greatest common factor of 91656 and 190152? 1368 Calculate the highest common factor of 2680 and 170. 10 What is the highest common factor of 439080 and 240? 120 Calculate the greatest common divisor of 996 and 4860. 12 What is the highest common factor of 25377 and 176? 11 Calculate the highest common divisor of 36630 and 1210. 110 What is the greatest common factor of 748735 and 1885? 65 What is the highest common factor of 36 and 125484? 12 What is the greatest common divisor of 1888 and 384? 32 Calculate the greatest common divisor of 126954 and 36. 18 What is the greatest common divisor of 257600 and 192? 64 What is the highest common factor of 539655 and 60? 15 Calculate the greatest common divisor of 111 and 373071. 111 What is the greatest common factor of 300 and 18900? 300 What is the greatest common factor of 59 and 75461? 59 Calculate the greatest common factor of 460 and 223330. 230 Calculate the highest common factor of 1007496 and 12. 12 Calculate the greatest common divisor of 42924 and 8820. 588 Calculate the highest common divisor of 630 and 60444. 18 Calculate the greatest common divisor of 90918 and 1476. 18 Calculate the greatest common factor of 435806 and 196. 98 What is the greatest common divisor of 1495 and 4600? 115 Calculate the greatest common divisor of 133857 and 46224. 963 Calculate the greatest common factor of 12 and 40956. 12 Calculate the greatest common divisor of 203 and 3430. 7 Calculate the greatest common divisor of 76456 and 3648. 152 Calculate the highest common divisor of 171 and 3314151. 171 Calculate the highest common divisor of 8424 and 58872. 24 What is the greatest common divisor of 11960 and 1365? 65 What is the greatest common factor of 462 and 231825? 33 What is the greatest common divisor of 4851 and 2863? 7 What is the highest common divisor of 6659 and 65? 1 What is the highest common factor of 74034 and 72? 18 Calculate the greatest common factor of 137 and 176730. 137 What is the highest common factor of 52 and 48628? 4 Calculate the highest common divisor of 8736 and 45066. 42 What is the highest common divisor of 239 and 83? 1 Calculate the highest common divisor of 39222 and 9. 9 What is the greatest common divisor of 131856 and 384? 48 What is the greatest common factor of 48916 and 224? 28 Calculate the greatest common factor of 2225181 and 69. 69 What is the greatest common factor of 112252 and 56? 28 What is the greatest common factor of 277 and 380321? 277 What is the highest common divisor of 44486 and 70? 2 Calculate the highest common factor of 40915 and 1715. 245 Calculate the greatest common divisor of 1139008 and 407. 37 Calculate the greatest common divisor of 74333 and 111. 37 What is the greatest common divisor of 21 and 9317? 7 Calculate the highest common divisor of 6336277 and 823. 823 Calculate the highest common factor of 142277 and 153971. 1949 What is the greatest common factor of 858 and 179894? 286 What is the highest common divisor of 168 and 165060? 84 Calculate the highest common factor of 25 and 133325. 25 What is the highest common factor of 144 and 2358198? 18 Calculate the highest common divisor of 664 and 57. 1 What is the highest common divisor of 1248 and 1188? 12 Calculate the greatest common factor of 1005352 and 8. 8 What is the highest common divisor of 9160 and 3440? 40 What is the greatest common factor of 19 and 2817? 1 Calculate the greatest common factor of 458116 and 68. 68 Calculate the highest common divisor of 1708071 and 6093. 2031 What is the greatest common divisor of 179 and 80371? 179 Calculate the greatest common divisor of 171054 and 2516. 34 Calculate the greatest common divisor of 248 and 744806. 62 Calculate the highest common divisor of 18676 and 4347. 161 Calculate the highest common factor of 512 and 864. 32 Calculate the greatest common factor of 89647 and 61097. 571 Ca
{ "pile_set_name": "DM Mathematics" }
t t be (1 + -49)*14/(-8). Suppose -3*c + 6*c - t = 0. Suppose -3*p - 29 = -5*j, 0 = j + 5*p - 10 - 7. What is the greatest common divisor of j and c? 7 Let u(i) = i**3 - 26*i**2 + 53*i - 76. Let f be u(24). What is the greatest common divisor of 12 and f? 4 Let a be ((-2)/(-6))/(26/234). Suppose 3*j = 15, s = j + a + 2. What is the greatest common divisor of s and 15? 5 Let a(x) = x**3 - 30*x**2 + 41*x - 36. Let z be a(29). What is the greatest common divisor of 78 and z? 78 Let n = -144 + 284. Let l = -268 + 296. What is the highest common factor of l and n? 28 Let z be -3*(-4)/12 - (-6)/2. Suppose -20 = z*v, 2*c - v - 59 = 2*v. What is the greatest common factor of 121 and c? 11 Suppose 0 = -5*u + 4*k + 160, 0*u + 5*u - 3*k = 160. Suppose 0 = -5*a - f + 75, -a + 1 = -30*f + 33*f. Calculate the highest common divisor of u and a. 16 Let t = -11 - -25. Suppose -3*d + 2*d - 8 = -2*h, 5*h - 26 = 4*d. Let p be (-230)/(-92)*(-28)/(-10)*h. What is the greatest common factor of t and p? 14 Let z be -3 - (-3)/(34/(-12) - -3). Suppose -2*u = -737 - 613. Suppose -4*x + u = 15. What is the highest common divisor of x and z? 15 Let p = 75 + -23. Suppose 6*u + p = 160. Calculate the greatest common divisor of 18 and u. 18 Let n(j) = j**3 - 7*j**2 - 3*j - 28. Let x be n(12). What is the highest common divisor of 16 and x? 16 Let i = -143 - -287. Let w(d) = d**2 + 2*d + 6. Let g be w(-3). Calculate the highest common divisor of i and g. 9 Let n(z) = z**2 - 46*z - 473. Let x be n(-11). Let o be (42/(-9))/((-2)/6). What is the greatest common divisor of o and x? 14 Let b(x) = x**2 - 60. Let u be b(-14). Calculate the greatest common factor of u and 40. 8 Let j = 19 + -11. Suppose 2*d = -j + 88. Let z = 5 - 0. Calculate the highest common divisor of z and d. 5 Let k = 738 + 523. Calculate the highest common factor of 97 and k. 97 Suppose -2*n - 36 = -3*z + 5*z, 39 = -2*z - 3*n. Let c = 17 + z. Suppose -c*s - 2*s = -52. What is the highest common divisor of 143 and s? 13 Let x be 2210/91 + 2/(-7). Let j be 1/4 - (-618)/x. Calculate the highest common factor of 39 and j. 13 Suppose 0*l - l + 3*a = -2, l - 2 = 2*a. Suppose -l*n = -4*n. Suppose -4*k + n = -8. What is the greatest common factor of 4 and k? 2 Let k = 241 - 169. Let a(f) = f**3 + 9*f**2 + 20*f + 51. Let l be a(-7). What is the highest common divisor of k and l? 9 Let a be (-5)/(-2)*(29 + -1). Suppose 5*d = -2*y - 22 - 29, 5*d = -4*y - 127. Let s = y + a. Calculate the greatest common factor of s and 352. 32 Let v(u) = 2*u**3 - 31*u**2 + 16*u - 7. Let y be v(15). Let x be 1 + 2 - (2 + -3). Calculate the greatest common factor of y and x. 4 Suppose 0 = -4*k + 4*f + 400, 4*f + 2 = 2*f. What is the greatest common divisor of k and 9? 9 Let q = -25 + 25. Suppose 0 = 2*s + 2*f - 22, q*f = f. Calculate the greatest common factor of s and 77. 11 Suppose 3*u = -c + 64, -2*u - 120 = -0*c - 2*c. Suppose -3 = -f + a + 5, 2*a - c = -5*f. What is the highest common factor of 11 and f? 11 Let p be -1 - ((-4)/4 + -17). Suppose -2*m = -13 - p. Let h = 152 - 32. Calculate the greatest common divisor of h and m. 15 Let q = 241 + -99. What is the highest common divisor of q and 2? 2 Let k(h) = -h**2 - h + 2. Let s be k(-4). Let r be (-1)/(-5) - 68/s. Calculate the highest common divisor of r and 77. 7 Suppose 2*g - 5*g + 17 = 2*z, -z = -g + 4. Let w be z/2 + (-68)/(-8). Let n be 0 + 36/(-8)*18/(-3). What is the highest common factor of w and n? 9 Let y(g) be the third derivative of -g**6/40 - g**5/12 + g**4/3 - 2*g**3 + 8*g**2. Let i be y(-5). What is the highest common divisor of 18 and i? 18 Let o(p) = -p**3 - 29*p**2 - 3*p - 74. Let w be o(-29). Calculate the greatest common factor of 52 and w. 13 Suppose 57 = 4*i - h, -i = -0*i + 5*h - 9. Let k = i - 10. Suppose 0*c - 5*w + 43 = 2*c, -k*c = -2*w - 50. Calculate the greatest common factor of 42 and c. 14 Suppose -h + 109 + 466 = u, -h - 2*u = -570. What is the greatest common divisor of h and 87? 29 Suppose -3*p - 4*d + 3 = 0, 6*p - 3*d - 24 = 3*p. Suppose y - p*b + b - 38 = 0, -5*b = 0. What is the greatest common divisor of y and 38? 38 Let m(a) = -a**3 - 2*a**2 - 4. Let n be m(-4). Calculate the greatest common factor of n and 28. 28 Suppose -75 = -2*l + 3*h, -3*l + 160 = 5*h - 0*h. Let g be 3*(-21)/(-9) - 2. Suppose 15 = -g*r + l. Calculate the greatest common factor of 6 and r. 6 Let m be -1 - (-1)/1*4. Let c be 56/(m + -2) + -4. Calculate the greatest common factor of c and 26. 26 Let u(q) = q**3 + 4*q**2 - 6*q + 3. Let w be u(-5). Let s = -290 - -508. Suppose -s = -4*v - 58. Calculate the highest common factor of w and v. 8 Let y = -46 - -64. Let n be (y/27 - 0)*(-450)/(-4). What is the greatest common factor of n and 15? 15 Suppose -9*b + 3*b = 42. Let m = b + 23. What is the highest common divisor of 2 and m? 2 Let v(p) = 20*p - 18*p - 14 + 3 - 17. Let d be v(17). Calculate the highest common divisor of d and 66. 6 Suppose 26*o - 1756 + 92 = 0. Calculate the greatest common factor of 160 and o. 32 Let g = 12 + -2. Let b(k) = -k**3 + k**2 + 1. Let m be b(2). Let w be (-1)/m*-4*525/(-10). What is the greatest common divisor of w and g? 10 Let n = 114 + -46. Calculate the greatest common factor of n and 102. 34 Let t(j) = 147*j. Let b be t(1). Suppose -i - 4*i - 2*m = -156, i - 3*m = 21. Let k = -9 + i. Calculate the highest common factor of k and b. 21 Suppose 42 = -2*u + 218. Suppose -u = -2*n + n. Suppose -4*a + 4*v = -36, -2*a - a + 5*v = -29. Calculate the highest common factor of a and n. 8 Let a(b) = -11*b + 31. Let k be a(9). Let s be ((-6)/(-12))/((-2)/k). What is the greatest common factor of 17 and s? 17 Suppose -2*x - 7 + 23 = 0. Let j be (-2 + 8*x/(-4))*-1. What is the greatest common divisor of 144 and j? 18 Let j be 0*((-4)/(-10))/(4/(-5)). Suppose -4*s - 4*t = -60, j*s - 5*s = t - 63. Calculate the highest common factor of 168 and s. 12 Suppose 3*x - 3*f - 1710 = 0, -5*x + 7*x - 1135 = 3*f. Suppose -21*c + x = -16*c. Calculate the greatest common divisor of 46 and c. 23 Let d = -9 - -1. Let n be (d/6)/((-2)/(-3)). Let m be (-48)/(-9) + n/6. What is the highest common factor of 15 and m? 5 Let j be -12*(2 - 33/12). Let r = -571 - -607. What is the highest common divisor of j and r? 9 Let f = 12 + -5. Let a be 6/5 + 7170/150. What is the greatest common factor of a and f? 7 Let l be 3/((-3)/5) + 370/2. What is the highest common divisor of 24 and l? 12 Suppose 0*x - 5*x + 4*q + 60 = 0, 0 = -2*q + 10. Suppose -2*o + 4*o - x = 0. Let p(h) = 5*h - 5. Let a be p(o). Calculate the highest common factor of a and 14. 7 Suppose 0 = 2*s + 18*v - 15*v - 638, -3*s - 5*v + 957 = 0. What is the greatest common factor of s and 87? 29 Let z be (-6)/2*246/(-18). Let x = 42 - z. What is the highest common factor of x and 1? 1 Suppose 3*s + s + 84 = 4*n, 0 = 5*n - 4*s - 104. Suppose -7*k + n = -78. Calculate the greatest common divisor of 84 and k. 14 Suppose 2*r = -i + 29, 9*r - 4*r - 3*i - 89 = 0. Let v(b) = -2*b + 3. Let u be v(4). Let l = -1 - u. What is the greatest common factor of l and r? 4 Let k = 1 - 6. Let w(g) = -2*g**3 - 7*g**2 + 2*g - 2. Let s be w(k). Calculate the highest common factor of 21 and s. 21 Let r(v) = 49*v. Let k be r(-1). Let p = -39 - k. Let z(t) = 2*t**3 - 5*t**2 + 5*t - 4. Let q be z(3). Calculate the highest common divisor of q and p. 10 Suppose 3*j - 9 = -3*x, -2*x - 2*x + 4*j - 28 = 0. Let y be (4 + 34/(-4))*x. What is the greatest common factor of y and 99? 9 Suppose 14*s - 15*s + 9 = 0. Let n be ((-36)/8)/s - 22/(-4). What is the highest common factor of n and 45? 5 Let g = -230 - -248. What is the highest common divisor of 558 and g? 18 Let a(k) = -k**2 + 2*k - 1. Let n be (-2)/(-2)*(-1 + 2). Let x be a(n). Let c be (x - -1) + 0 + 1. What is the greatest common divisor of c and 8? 2 Suppose 0 = 4*x + 3*o - 537, -23*x - 2*o = -18*x - 680. What is the highest common divisor of x and 24? 6 Suppose 0 = 14*d - 16*d - 460. Let a = -131 - d. What is the highest common divisor of 9 and a? 9 Let y(a) = 2*a + 9. Let w(p) = 3*p + 18. Let k(j) = 3*w(j) - 5*y(j). Let g be k(6). What is the greatest common factor of 12 and g? 3 Let h be (-3)/(-2)*-10 + 0. Let n be (-752)/h + 14/(-105). Let u be n - (3 - 1)/2. Calculate the greatest common
{ "pile_set_name": "DM Mathematics" }
Let c(l) = -l**2 + l - 141. Let i be c(0). Let u = -72 - i. Is u a prime number? False Is (12/(-8))/3 + 9286/4 a composite number? True Let q(v) be the second derivative of -v**5/20 - 11*v**4/12 + 3*v**2 + 4*v. Let r be q(-11). Let j = 53 - r. Is j composite? False Let b be (-6)/9*(2 + -5). Is b + (2 + 139 - 0) prime? False Let t(s) = -2*s**3 - 3*s**2 - 2*s + 6. Is t(-3) a composite number? True Suppose 0 = -3*g + 5*x + 3 + 40, -3*x = 5*g - 15. Suppose g*d = 4*d. Suppose 4*z - 301 = -3*v - d*v, -5*v + 491 = 4*z. Is v prime? False Let l be ((-1)/(-2))/((-1)/(-120)). Suppose 5*s - l = s. Is s a composite number? True Let z = 201 - 106. Is z prime? False Let s be (68/6)/(3/9). Let r = 57 - s. Is r composite? False Suppose -4*n = -0*n + 4, 2*n = 3*y - 995. Is y a composite number? False Suppose 60 = 3*j - 5*w - 317, j - 4*w - 128 = 0. Suppose 0 = 5*x + 2*g - 0*g - 2, 4*x + 3*g = -4. Suppose 2*o = -x*o + j. Is o composite? False Is (-14)/(-7)*(-307)/(-2) composite? False Suppose u - 1421 = -5*x + 1045, 0 = 2*u - 2. Is x a prime number? False Let n = 11 - -34. Is -1 + n + (-3 - -5) prime? False Let p(q) = -q**3 - 3*q**2 + 41. Is p(-11) prime? True Is 2*11*(-259)/(-14) prime? False Let o be ((-2)/2 - 0)*-3. Suppose q + 2*q = -5*n + 154, 155 = o*q + 4*n. Is q composite? False Let o(v) be the third derivative of -8*v**4/3 - 5*v**3/6 + 2*v**2. Let l(x) = 193*x + 14. Let h(b) = 3*l(b) + 8*o(b). Is h(3) a prime number? False Let g = 239 + 972. Is g composite? True Suppose -15 + 39 = 5*j - 4*w, -5*j + 3*w = -28. Let i(q) = q**2 - 7*q - 10. Let o be i(j). Let m(l) = 7*l**2 + 2*l - 2. Is m(o) prime? False Let v be (-1 + 4)*(-1)/(-3). Let r = v + 3. Suppose -r*n - 4*t + 202 - 46 = 0, -4*n = -5*t - 138. Is n a prime number? True Let y(p) = -p**3 + 3*p**2 + 10*p - 1. Let w be y(7). Let k = w - -194. Is k a prime number? True Suppose 2*b + 64 = 2*m, 5*b + 57 + 68 = 4*m. Let y = 72 - m. Is y prime? True Suppose 5*a - 15 + 5 = 0. Suppose -t = a*t + 147. Is (-8)/(-4)*t/(-2) a prime number? False Let u be 8/((-5)/(5/(-2))). Suppose 478 = 2*v - 0*v + u*f, 2*v - 481 = -5*f. Is v a prime number? True Let q(s) = -2*s**3 - 4*s**2 - 2*s + 2. Let x be q(3). Let n = -57 - x. Is n composite? False Let k be (-4)/(-6) + 4207/21. Is (2/(-6))/((-1)/k) a composite number? False Let a be ((1 + 0)*0)/2. Suppose a = 3*g - 2 - 37. Is g a composite number? False Let x be (0 - -22)*(-20)/(-8). Suppose g + 4*g = x. Let c = 64 - g. Is c composite? False Let d(h) = -13*h**3 - 8*h**2 + 4*h - 6. Is d(-5) a prime number? True Let b(y) = 56*y + 5. Let n(f) = 56*f + 6. Let d(i) = -5*b(i) + 4*n(i). Is d(-6) a prime number? False Suppose 4*t - 336 = 484. Is t composite? True Let w be 1 + (1 - (-1 + 0)). Suppose -k = w*k. Suppose -149 = -k*q - 2*q - 3*u, -383 = -5*q - 4*u. Is q prime? True Let s = 14 + -9. Is (s/20)/(2/2536) a prime number? True Suppose -n + 1 = 0, -2*m + 21 + 21 = 4*n. Suppose m = 3*i - 2. Is i prime? True Is 4*((-8)/16)/(4/(-7342)) a composite number? False Let g = 3 - -1. Let f(l) = 29*l + 7. Let s be f(-5). Is s/g*(-4)/2 composite? True Let l = 3524 + -2409. Is l a composite number? True Let g be 23335/26 + (-2)/4. Suppose 3*r = 1170 + g. Is r a prime number? False Let q = -1 + 6. Suppose -5 = q*p + d, -d - 10 = 4*p + d. Suppose -2*x + 38 = 2*z, p = 2*z + 4*x - 53 + 5. Is z a composite number? True Suppose -y - 49 = -0. Let q be 6*y*1/(-3). Suppose 0 = 4*t + h - 207, 5*h + q = -5*t + 338. Is t a prime number? True Suppose 5*p = 4*z + 39085, -2*p + z + 2290 + 13344 = 0. Is p composite? False Let g(d) be the third derivative of 7*d**5/60 - d**4/8 + 3*d**2. Let r be g(6). Suppose -a + 3*a - 3*o = 80, 0 = 5*a + o - r. Is a prime? False Let k = -16 + 14. Is (12 - k) + -2 + 1 a composite number? False Let w(c) be the second derivative of -55*c**3/3 - 5*c**2/2 + 6*c. Is w(-2) composite? True Let b = 7 + -38. Let y = -12 - b. Is y a prime number? True Let c(m) = -2*m + 12. Let q be c(6). Suppose -173 = -2*k - q*k - a, 0 = -3*k - a + 260. Is k composite? True Let v(p) = 12*p**2 + 10*p - 7. Is v(6) a composite number? True Let r = -639 - -904. Let v be ((-62)/6)/(2/(-36)). Let f = r - v. Is f composite? False Suppose 3*y = -5*x + 8191, x + 5*y = 912 + 735. Is x composite? False Suppose -4 = -0*g - 2*g + 2*l, -4*l = -3*g + 3. Suppose -g*o + 107 - 7 = 0. Is 8/o + (-366)/(-10) a prime number? True Let o(y) = -5*y**3 - y**2 + 2*y - 1. Suppose -4*v - 9 = 3. Is o(v) a prime number? False Suppose -94 - 83 = -3*o. Is o a composite number? False Suppose h + 245 = 826. Is h composite? True Suppose -5*m - 9 - 5 = -h, m = -3*h - 6. Let y(l) = -2*l - 3. Let r be y(m). Is r/(-1) + 30 + -5 prime? False Let d = 1 - 3. Let k be (-3)/2 - 1/d. Is k/(-2 + (-74)/(-38)) a composite number? False Let z(l) = 2*l**2 + 2*l + 1. Let c be z(-2). Suppose 17 = -5*o + c*t + 42, 2*t = 3*o - 14. Suppose -80 = -2*q - 2*q - 3*h, -7 = -q - o*h. Is q prime? True Let h = 1 - -4. Suppose 4*b - h*b + 335 = 0. Is b a composite number? True Let j(s) = -s**3 + 10*s**2 - 9*s + 2. Let u be j(9). Let l(n) = 2*n**3 - 3*n + 1 + 5*n**3 - 2*n**u + 4*n. Is l(2) prime? False Let s(x) = 2*x**2 + 5*x - 1. Suppose 0 = 3*a - 4*h + 16, 2*a - 3*h + 0 + 11 = 0. Let y be s(a). Let k = 8 + y. Is k composite? False Suppose 3 = -2*g - 3*k - 3, 0 = -k - 4. Suppose 2 - 47 = -g*m. Is m composite? True Suppose -18 = -r - 4*f, 5*r + 0*f - 3*f = 21. Suppose 5*g = r + 49. Is g composite? False Let d(z) = 64*z**3 - 3*z**2 - z + 1. Is d(2) prime? True Suppose -2*y = 2*y - 3*b - 72, -4*b - 90 = -5*y. Let j(r) = r**3 - 6*r**2 - 6*r - 6. Let a be j(7). Let c = y + a. Is c a composite number? False Let t(j) = -j**3 + 2*j + 1. Let d be t(5). Let c = d - -271. Is c a composite number? False Suppose 7*l - 20 = 3*l. Suppose 57 = -2*c + c - l*q, 3*q = 15. Let g = c - -131. Is g a composite number? True Suppose j = 5 - 0. Suppose 0 = -j*l - 2448 - 12. Is (l/(-18))/(4/18) prime? False Let h be (-3)/(2/((-24)/9)). Suppose 0 = -2*j + q - h*q + 1, 3*j - 1 = -5*q. Suppose -4*y + j + 102 = 0. Is y prime? False Let x(k) be the second derivative of 7*k**3/2 - 5*k**2/2 + 2*k. Let a(q) = 1. Let d(u) = -6*a(u) - x(u). Is d(-4) a composite number? False Let a(o) = -o + 11. Let g be a(9). Is g + (50 - 0 - -3) composite? True Suppose -5*o - 5*x + 171 + 59 = 0, -3*o = -x - 130. Let w be 6/(-1)*(-23)/2. Let t = w + o. Is t a prime number? True Suppose -477 = -5*r - 3*b, 4*r - 5*b + 206 = 6*r. Suppose -3*p + 5*o = -r, -p - 2*o + 98 = 3*p. Is p composite? True Let s(n) = 5*n**2 - n. Let y be s(1). Let m be 2/(-7) + y/14. Is 4 + (-2 - m) + 55 a composite number? True Suppose 0 = -5*b - k + 17, -4*b + 0*b + k = -10. Suppose 5*l + 0*w = -b*w + 95, 4*l - 73 = -3*w. Is l a prime number? False Is (5 + -18)*(-66 + -2 + 1) a prime number? False Suppose 0 = 2*i + 3*u - 185, u = -4*i + 5*i - 95. Suppose m = x + 4*x - i, -3*x + 4*m + 53 = 0. Is x composite? False Suppose 0 = -4*m - 3*t + 11, 0 = 3*m - 2*t + 3 - 7. Let l(i) = 3*i**2 + 2*i - 2. Let d be l(-2). Suppose u - m*u = -d. Is u composite? True Let v = 12 - 24. Let z = 49 + v. Is z a composite number? False Let z(i) be the third derivative of -13*i**4/24 - i**3 - i**2. Let u be z(-4). Is u*1 - 2/(-2) composite? False Suppose 0 = -2*r + 40 + 272. Let n = r - -587. Is n composite? False Let u(n) = -10*n**3 + n**2 + 2*n + 1. Suppose -5*i = -4*p + 6, 2*p + 3 = 3*p - 2*i. Is u(p) a prime number? False Let m be 24/5 + 4/20. Suppose -m*g + 5*y + 132 = 42, -4*g = 2*y - 42. Suppose -4*t + 3*t = -g. Is t prime? True Let b = 5 - -1. Let l = b + 2. Let m(z) = 2*z - 6. Is m(l) a composite number? True Let m = -4 - -6. Suppose m*a = 5*a - 39. Is a - 1 - 2*-1 composite? True Suppose 0 = 4*v + o - 4232, -2*v + 3*o = -2142 + 12. Is v a composite number? True Is (-17)/(-34) + (-4346)/(-4) prime? True Suppose -1901 = -12*x + 11*x. Is x a prime number? True Suppose -2*i = c + 27, -5*c - 2 = 3*i + 21. Let m = i + 35. Is m a composite number? False Let z(r) be the third derivative of 0*r - r**2 + 0 + 11/30*r**5 + 0*r**4 - 1/6*r**3. Is z(-1) a composite number? True Let y(d) = d**2 - 3*d. Let v be y(4). Suppose 0 = v*w - 2*u - 806, 4*w + 5*u - 164 = 663. Is w prime? False Suppose 0 = k + 3 + 2. Suppose 4*d + 100 = 5*d - 4*t, 2*t - 76 = -d. Let x = k + d. I
{ "pile_set_name": "DM Mathematics" }
)))**(-17) assuming r is positive. r**(12087/76) Simplify (((t/(t*t**(2/5)))**(1/2))**12)**(3/13) assuming t is positive. t**(-36/65) Simplify (d**(2/31)/d*d)**(16/5)*(d*d*d**(3/4)*d)**(-19) assuming d is positive. d**(-44047/620) Simplify ((f**(3/8)*f**1*f*f)/(f**(-3/4)*f**(-1/2)))**(-5) assuming f is positive. f**(-185/8) Simplify ((b**(-2/5)/b**(2/33))**(-18))**(-20/7) assuming b is positive. b**(-1824/77) Simplify ((k**14/(k/(k/(k*k/k**9))))**(2/37))**(-5) assuming k is positive. k**(-210/37) Simplify ((s**(-6)*(s*s**2*s*s)/s)/(s*s/(s**(1/3)*s)*s*s*s**(-1/2)))**(2/31) assuming s is positive. s**(-25/93) Simplify (x**(-6/13))**(-36)*(x**3/x)/x**(16/3) assuming x is positive. x**(518/39) Simplify q**(-25)*q*(q**(4/3)*q)/q*(q**9)**20 assuming q is positive. q**(472/3) Simplify (w**(-1/5)/(w/w**(-7))*(w**(1/3)/w)**(-34))**39 assuming w is positive. w**(2821/5) Simplify (b*(((b**(-2/9)/b)/b)/b)/b)**(9/7)*(b*b*b/(b/b**0)*b)**(-15) assuming b is positive. b**(-344/7) Simplify (k**13/((k**1/k*k)/k))**10 assuming k is positive. k**130 Simplify ((x**(1/2))**(-2/71)*x**(-5)*x*x**(-2/15))**5 assuming x is positive. x**(-4417/213) Simplify (k**17/k**(-11))/((k*((k*k/k**(-16))/k*k)/k*k*k*k*k)/k**29) assuming k is positive. k**35 Simplify (((o*o**1*o)/o*o)**23*(o**(-2/5))**(6/35))**50 assuming o is positive. o**(24126/7) Simplify (z**(-1/9)*z*z**(-4/3)*(z**(-2/7)*z)**(-2/85))**(-2/87) assuming z is positive. z**(988/93177) Simplify ((d*(d*d**0)/d)**28)**(-5) assuming d is positive. d**(-140) Simplify ((i/(i**(1/3)/i))**(-7/4)*(i**(-3))**(14/3))**(-12) assuming i is positive. i**203 Simplify (t**12/t)/(t/t**(-1/7)*t)*(t**7)**1 assuming t is positive. t**(111/7) Simplify (i/i**(-6))**(2/81)*(i/(i*i**(1/10)))**12 assuming i is positive. i**(-416/405) Simplify ((t**15/t)/t*t**14)/(t*(t**(-4/11)/t*t)/t*t)**(38/7) assuming t is positive. t**(259/11) Simplify (((v**(-3/13)/v)**(-3/4))**(-33))**(-17) assuming v is positive. v**(6732/13) Simplify (j**2)**(-23)/((j/j**(1/2))/j)**(-42) assuming j is positive. j**(-67) Simplify (n/(n**19/n))**(-12)/((n*n**(2/15))/n)**27 assuming n is positive. n**(1002/5) Simplify (n**(-9)/(n/(n/(n*n**(12/11)*n))))/((n*n*n*n*n/(n*n*n**(-1/16)))/n**(-1)) assuming n is positive. n**(-2843/176) Simplify ((w/(w*w/(w*w*(w/w**0*w)/w)))**34/((w*w**(-3))/(w*((w/(w*w**(-4/11)))/w*w)/w)))**(-5/6) assuming w is positive. w**(-645/11) Simplify d**(-3/5)*d*d*d**17*(d**(-1/9)*d*d*d)/d**11 assuming d is positive. d**(463/45) Simplify (c**21/c*c**(-21))/(c**(-5))**3 assuming c is positive. c**14 Simplify ((y*y**(-1/23)*y*y)/y**(-6/7))/(((y/y**4)/y*y)/((y**(-31)*y)/y)) assuming y is positive. y**(-3894/161) Simplify ((y**2/y*y)**(-2/37)*y**(-7)/y*y/(y**(-8)/y)*y)**10 assuming y is positive. y**(1070/37) Simplify (o**(-1/4)/o*o*o)**(-9/5)/(o**2)**(1/8) assuming o is positive. o**(-8/5) Simplify c*(c*c**(2/29))/c*c*c*c/(c/(c*c*c/((c*c**(-9)*c)/c)))*c**(-21/2)/(c**(-2/7)*c) assuming c is positive. c**(1159/406) Simplify ((r**(-16)/r*r)/r**17)/((r*r/(r**(5/3)*r)*r)/r*r)**(-1/6) assuming r is positive. r**(-593/18) Simplify (b**(-1/5))**(3/7)/(((b*b**(1/9))/b*b)/(b**(1/9)*b*b)) assuming b is positive. b**(32/35) Simplify ((s/((s*s/s**9)/s*s)*s*s*s**(5/2))/(s**(-1/3))**(-30))**(1/22) assuming s is positive. s**(5/44) Simplify (((k**(-7)*k)/(k*k**(-8)*k))**(-23))**(-38) assuming k is positive. 1 Simplify (x*(((((x/x**(-7/2))/x)/x)/x)/x)/x)/(x/x**4)*(x**(1/7))**(-15/2) assuming x is positive. x**(17/7) Simplify (((u*u/((((u*u/(u**(-2)*u*u))/u)/u)/u))/u)**(-6/19)/(u/u**2)**(4/15))**(-19) assuming u is positive. u**(104/15) Simplify ((d/(d*d**(-10/7)))/d**(-5/4))/((((d**(2/15)*d)/d*d)/d)/d**(2/9)) assuming d is positive. d**(3487/1260) Simplify (j**(-2/9))**(3/10)*j**(-8/7)*j**(-4/3)/j*j assuming j is positive. j**(-89/35) Simplify t**(-29)/(t/(t*t**(1/30)*t))*(t/(t**(2/27)/t))/t**41 assuming t is positive. t**(-18101/270) Simplify (f**(-3))**(-36)/(f**(-4/15)/(f**(-3/4)/f)) assuming f is positive. f**(6391/60) Simplify (((r/(r/(r/r**16)))/r*r/r**(1/13))**(-2/17))**(23/3) assuming r is positive. r**(9016/663) Simplify (m/((m**(1/13)/m)/m))**(2/5)*m**8*(m*m/(m**(-13)/m))/m assuming m is positive. m**(1571/65) Simplify ((p*p*p*p**(-12)/p)/p)/(p/p**(-7/3))*(p**1)**(-1/23) assuming p is positive. p**(-992/69) Simplify ((n**(-27)*n)/(n/(n/(n*n*n**(-34)*n))))/(n**(2/15)*(n*n*n**(-35))/n) assuming n is positive. n**(583/15) Simplify (q*q/(q**(1/5)*q)*q)**(-18)*q**(-4/5)*q**(2/19) assuming q is positive. q**(-3144/95) Simplify (((m*m**7)/m*m**(5/3))**(-10/11))**23 assuming m is positive. m**(-5980/33) Simplify ((m**(2/11)/m**(-1))**(-11))**(-2/9) assuming m is positive. m**(26/9) Simplify (d/d**(7/4))**(-24)*(d**(2/47)*d)**(-5/6) assuming d is positive. d**(4831/282) Simplify (y/y**4*y*(y**2*y)/y*y*(y**(-7)*y)/(y**(2/25)*y*y))**(2/11) assuming y is positive. y**(-354/275) Simplify (b*b/(b*(b*b**(-14)*b)/b*b))/b**(-21/5)*b/(b**8/b)*b*b**(-21)*b assuming b is positive. b**(-39/5) Simplify (k*k**(3/4))/k**0*k*k**(-2)*k*k**4 assuming k is positive. k**(23/4) Simplify (v**(-2/17)/v)**8/((v**(1/10)*v)/v*v)**(15/7) assuming v is positive. v**(-2689/238) Simplify p**(-4/3)*p**(-2)*(p*(p**(-19)*p)/p)/(p/(p*p/((p/p**(-6/11))/p*p))) assuming p is positive. p**(-722/33) Simplify (b**(-1/7)*b)/(b*(b/(b**(-9)*b))/b)*(b**(-7))**(2/13) assuming b is positive. b**(-839/91) Simplify (b**(-8)/b**(-8/11))/(b**(4/5)*b**(-16)*b) assuming b is positive. b**(381/55) Simplify o/o**(-2/11)*o*o**(-5)*((o*o*o**(-1/8)*o)/o*o*o)**(-3) assuming o is positive. o**(-1271/88) Simplify q*q*q**(-12)*q*q*q**(-2)*(q*q**4/q*q)/q**(3/5) assuming q is positive. q**(-28/5) Simplify t/(t*t**(2/37)*t)*t**(-2/5)*(t*t**(-39))/(t**35/t*t) assuming t is positive. t**(-13774/185) Simplify (y**(2/3)/y**(2/23))/(y/(y/y**(-16))*y/y**(1/24)) assuming y is positive. y**(8623/552) Simplify ((f**(-2/5))**(3/20)*(f**(-2/9)*f)**(1/31))**(-1/7) assuming f is positive. f**(487/97650) Simplify ((t*(t*t*t/((t*t**(5/13)/t)/t))/t)/((t**3*t)/t))/(t*t**(1/3))**(9/11) assuming t is positive. t**(-68/143) Simplify ((k/(k*k**(1/15)))/(k*k**(1/4)/k))**(-3/10) assuming k is positive. k**(19/200) Simplify (a**(-4)*a**(-11)*a*a)/((a*a**(-3/5))/a**(-18)) assuming a is positive. a**(-157/5) Simplify (l**(-9)*l**(-1/23))/((l**(-12)*l*l)/l*((l/(l**(1/18)*l))/l)/l) assuming l is positive. l**(1661/414) Simplify (o**(-5/3)/(o*o**(-1/14)/o))/(o**26/(o*o**9)) assuming o is positive. o**(-739/42) Simplify (r/(r**(2/13)*r*r)*r**8)/(r**2)**(-19) assuming r is positive. r**(583/13) Simplify v**(-9)/v*v/(v**23/v)*v*v*v/((v**(1/4)*v)/v)*v*v**(-3/13) assuming v is positive. v**(-1429/52) Simplify m**(-13)/m**(-10)*(m/(m/(m*m**(-1/3)/m*m*m)*m))/m*m/(m*m/(m/(m*m**(2/9)))*m) assuming m is positive. m**(-50/9) Simplify (d**20*d/d**3)/((d/d**(-1/13))/(d*d**(-11/7))) assuming d is positive. d**(1488/91) Simplify (s**(2/5)/s**0*(s**(-2/5)/s)/(s**(-8)*s))**(22/7) assuming s is positive. s**(132/7) Simplify (b**(-1/3))**(1/3)/(b/(b/(b/(b*b*b**(1/14))*b)*b*b)*b*b**(-3/5)/b) assuming b is positive. b**(1613/630) Simplify (d**(-3)*d)**(19/4)*(d/(d**5*d)*d)**(1/37) assuming d is positive. d**(-711/74) Simplify (x*x**(-3/4)*x/((x**(-14)*x)/x*x*x))/((x*x**(-10))/(x*(x**(-10)*x)/x)) assuming x is positive. x**(53/4) Simplify j**(-8/9)/j**(-32)*j*j**(-1/18)*j*j*(j*j**(3/11)/j)/j*j assuming j is positive. j**(6797/198) Simplify (((g*g/g**16)/g)/(g*((g*g/g**(5/6)*g)/g)/g))/(g**7/g*g/(g/g**(7/3))) assuming g is positive. g**(-49/2) Simplify (p**(1/4)/p)**(-16/7)/(p/(p/(p*p*(p*p*p/((p/((p/p**(-1))/p*p))/p)*p)/p*p)))**5 assuming p is positive. p**(-268/7) Simplify ((j*j*j/((((j/(j/(j**(-1/3)*j)*j))/j)/j)/j)*j)**(-4/9)/(j*j**(-1/4))**(-1/8))**(-16/3) assuming j is positive. j**(2735/162) Simplify (z*z**(-32)*(z**8*z)/z)/((z*z**6)/z**(-27/2)) assuming z is positive. z**(-87/2) Simplify z**(-1/5)/z**(1/8)*z*z/((z/z**(1/5))/z)*z/(z*z/z**0*z) assuming z is positive. z**(-1/8) Simplify ((y**(-5)*y**7)/(y**6/y**7))**(2/15) assuming y is positive. y**(2/5) Simplify (i**15*i)/(i**(-2/3)/i*i)*(i*i/(i**(-1/8)/i))**(-25) assuming i is positive. i**(-1475/24) Simplify t/t**(1/5)*t**(-2/15)*t*t/t**(-10)*t/(t*t/(t*t*t**(-12)*t)*t) assuming t is positive. t**(5/3) Simplify (u**(3/2))**
{ "pile_set_name": "DM Mathematics" }
, -23850, -42396, -66240? -95382 What comes next: -700, -899, -1098, -1297? -1496 What comes next: -48439, -193750, -435935, -774994, -1210927? -1743734 What is the next term in -20212, -40422, -60634, -80848? -101064 What is next in 139, 576, 1303, 2320, 3627, 5224? 7111 What is next in 665, 2760, 6287, 11246, 17637? 25460 What is the next term in -603, -384, -13, 510, 1185? 2012 What comes next: 1207117, 1207109, 1207097, 1207081, 1207061, 1207037, 1207009? 1206977 What is the next term in 47546, 95091, 142636? 190181 What is next in 1033, 2016, 2951, 3838, 4677, 5468, 6211? 6906 What is the next term in 24577, 49046, 73513, 97978, 122441, 146902? 171361 What is the next term in 2853, 5673, 8435, 11109, 13665, 16073, 18303, 20325? 22109 What is next in -40920, -40923, -40926? -40929 What is the next term in -6865, -6893, -6921? -6949 What is next in 1190, 2433, 3676, 4919? 6162 What comes next: -17, -255, -513, -797, -1113, -1467? -1865 What is next in -76626, -76621, -76612, -76599, -76582, -76561, -76536? -76507 What is the next term in -9306, -9285, -9262, -9237, -9210, -9181, -9150? -9117 What is the next term in -7699, -15948, -24211, -32494, -40803, -49144? -57523 What comes next: -15725, -15824, -15923, -16022, -16121? -16220 What comes next: -1734082, -1734088, -1734106, -1734142, -1734202, -1734292, -1734418? -1734586 What is next in -12047, -24102, -36157, -48212, -60267, -72322? -84377 What comes next: 6249, 6237, 6225? 6213 What is next in -174809, -174806, -174803, -174800, -174797, -174794? -174791 What is the next term in 1065, 2164, 3265, 4368, 5473, 6580? 7689 What comes next: -792391, -792394, -792397? -792400 What is the next term in -186, -521, -1080, -1863? -2870 What comes next: -195, -399, -619, -855, -1107, -1375, -1659? -1959 What is next in -126, -974, -3300, -7842, -15338, -26526, -42144? -62930 What comes next: 11155, 11139, 11119, 11101, 11091, 11095, 11119, 11169? 11251 What is the next term in -221, -405, -635, -935, -1329? -1841 What comes next: 1, -7, -9, 1, 29? 81 What is next in 5574, 11148, 16722, 22296? 27870 What comes next: 6870, 13745, 20620, 27495, 34370? 41245 What comes next: -12739, -12715, -12657, -12547, -12367, -12099, -11725, -11227? -10587 What is next in 2545142, 2545145, 2545148? 2545151 What is the next term in 732378, 732382, 732386, 732390? 732394 What is the next term in 2401, 9595, 21571, 38323, 59845, 86131? 117175 What comes next: -24846, -24806, -24766, -24726, -24686? -24646 What is next in -4135, -8272, -12409, -16546, -20683, -24820? -28957 What is next in -2024, -4052, -6066, -8060, -10028, -11964, -13862? -15716 What is the next term in 60047, 60044, 60041, 60038, 60035, 60032? 60029 What is next in -13064568, -13064566, -13064562, -13064556, -13064548, -13064538, -13064526? -13064512 What is next in 1320, 1375, 1434, 1497, 1564, 1635? 1710 What comes next: -2369, -2394, -2401, -2384, -2337, -2254, -2129? -1956 What comes next: -700, -1473, -2244, -3013, -3780, -4545, -5308? -6069 What comes next: -6, -54, -166, -372, -702, -1186, -1854? -2736 What is the next term in 837, 1226, 1621, 2028, 2453, 2902? 3381 What is the next term in 74, 116, 154, 188, 218, 244? 266 What comes next: -2704, -2686, -2668, -2650, -2632, -2614? -2596 What comes next: -194, -660, -1392, -2366, -3558, -4944, -6500, -8202? -10026 What is next in 19251, 77003, 173257, 308013, 481271, 693031? 943293 What is the next term in 2628, 5234, 7840, 10446, 13052? 15658 What comes next: 386126, 772251, 1158376? 1544501 What is the next term in -48, 285, 1396, 3675, 7512, 13297? 21420 What is the next term in -23, -78, -179, -344, -591, -938? -1403 What is the next term in -1082618, -1082620, -1082622, -1082624? -1082626 What is the next term in 241728, 241723, 241718, 241713? 241708 What is the next term in -25321, -25388, -25453, -25516, -25577? -25636 What is the next term in 433, 329, 221, 109, -7? -127 What comes next: -76111, -152237, -228363? -304489 What is the next term in 28984, 28979, 28974, 28969, 28964? 28959 What is next in 51, 53, 63, 81, 107, 141? 183 What is the next term in 429, 420, 405, 384, 357, 324? 285 What is next in -1809, -3674, -5539, -7404, -9269? -11134 What comes next: 3688298, 3688301, 3688306, 3688313, 3688322, 3688333? 3688346 What comes next: -659, -1326, -2445, -4022, -6063, -8574? -11561 What is the next term in -1350, -1320, -1278, -1224? -1158 What is the next term in 1744, 2659, 3590, 4543, 5524, 6539, 7594, 8695? 9848 What comes next: 346, 744, 1142? 1540 What is next in -67, -92, -111, -124, -131? -132 What is next in 8759, 8741, 8713, 8669, 8603, 8509, 8381? 8213 What is next in 5622, 11181, 16740? 22299 What is the next term in 142, 260, 400, 574, 794, 1072, 1420? 1850 What is next in 1428, 13381, 45828, 109017, 213196, 368613, 585516? 874153 What is next in -1617, -1506, -1395, -1284, -1173, -1062? -951 What is the next term in -274, -312, -350? -388 What comes next: -28, -106, -242, -466, -808, -1298, -1966, -2842? -3956 What comes next: -2048, -4044, -5980, -7850, -9648, -11368? -13004 What is the next term in 228, 452, 676, 900, 1124, 1348? 1572 What comes next: 152, 1343, 4576, 10871, 21248, 36727? 58328 What comes next: -448, -368, -168, 206, 808, 1692, 2912, 4522? 6576 What is the next term in -33231, -66455, -99677, -132897? -166115 What is next in -118014, -236031, -354048, -472065, -590082? -708099 What comes next: 82, 58, 34? 10 What is the next term in -11460, -11462, -11464? -11466 What comes next: 12069, 24008, 35947, 47886? 59825 What comes next: -48, -91, -166, -279, -436, -643? -906 What comes next: 3640, 7283, 10926? 14569 What comes next: 269166, 269168, 269170, 269172, 269174? 269176 What is the next term in -237, -342, -447? -552 What is next in -350, -665, -952, -1199, -1394, -1525, -1580? -1547 What comes next: -3307, -3035, -2763, -2491, -2219? -1947 What is the next term in 19097, 19090, 19081, 19070, 19057? 19042 What is the next term in 4571, 9126, 13655, 18146, 22587, 26966, 31271, 35490? 39611 What is next in 7, 100, 255, 472, 751, 1092, 1495? 1960 What is next in -3609, -7315, -11021, -14727? -18433 What is next in 525, 2191, 4973, 8871? 13885 What is the next term in 1714, 3415, 5116, 6817? 8518 What is next in 9076, 18157, 27238, 36319, 45400? 54481 What is next in -992, -4100, -9292, -16580, -25976? -37492 What is next in 479005, 478998, 478987, 478972? 478953 What is the next term in -564, -1157, -1728, -2265, -2756, -3189? -3552 What comes next: 633, 552, 401, 168, -159, -592, -1143, -1824? -2647 What is the next term in 893, 3093, 5291, 7487, 9681, 11873, 14063? 16251 What comes next: -74740, -149474, -224208, -298942, -373676? -448410 What is next in 4, -168, -462, -878, -1416, -2076, -2858? -3762 What is the next term in 580, 2494, 5692, 10180, 15964? 23050 What is next in 9773783, 9773784, 9773785, 9773786? 9773787 What is next in -336, -263, -140, 27, 232, 469, 732, 1015? 1312 What comes next: 685, 859, 1033? 1207 What is the next term in -40, 324, 1304, 3206, 6336, 11000, 17504, 26154? 37256 What is next in -104, -102, -98, -92, -84, -74, -62? -48 What is next in -56446, -56427, -56404, -56383, -56370, -56371, -56392, -56439? -56518 What comes next: -171, -592, -1281, -2238, -3463, -4956? -6717 What comes next: 55, -15, -85, -155? -225 What is next in -31325, -31319, -31309, -31295? -31277 What is next in -20, -94, -202, -344? -520 What comes next: 4768, 9489, 14212, 18937? 23664 What is the next term in 48, 367, 1206, 2817, 5452, 9363? 14802 What is next in 1230, 1347, 1462, 1575, 1686, 1795? 1902 What comes next: 32604, 32575, 32546, 32517, 32488? 32459 What is next in 12684, 25381, 38078, 50775? 63472 What is the next term in -250, -2000, -6720, -15880, -30950, -53400, -84700? -126320 What comes next: 294748, 589499, 884262, 1179043, 1473848, 1768683? 2063554 What is next in -2762, -2785, -2824, -2879? -2950 What comes next: 157, 331, 507, 685, 865, 1047? 1231 What is the next term in -93, -251, -421, -525, -485, -223, 339? 1279 What is the next term in -154, -638, -1446, -2578, -4034? -5814 What comes next: 4227, 6242, 8257, 10272, 12287, 14302? 16317 What is the next term in 18076, 18092, 18108, 18124, 18140, 18156? 18172 W
{ "pile_set_name": "DM Mathematics" }
ecreasing order. 705, 113, 9, 2, -1, -4 Sort 442, -1/8, -1, 2/5, 78 in descending order. 442, 78, 2/5, -1/8, -1 Sort -3, 0.1, 5, 0.15, -4/21, 10 in increasing order. -3, -4/21, 0.1, 0.15, 5, 10 Sort -10195, 3, 10, 27, -4, -2, 4 in descending order. 27, 10, 4, 3, -2, -4, -10195 Sort 5, 4, -84779, -2/11, -0.5, 0 in increasing order. -84779, -0.5, -2/11, 0, 4, 5 Sort -1, 54053, -5, 3 in ascending order. -5, -1, 3, 54053 Sort -2, -19.406, -0.126. -19.406, -2, -0.126 Sort 3/2, -3, 26, 12/13 in increasing order. -3, 12/13, 3/2, 26 Sort -2, 2432, 26, 70 in decreasing order. 2432, 70, 26, -2 Put -165, -1, -3, 32, 9 in descending order. 32, 9, -1, -3, -165 Sort -51, 2/474869, -0.2 in ascending order. -51, -0.2, 2/474869 Put -51, -7, -34, 12, 4, -4, -3 in descending order. 12, 4, -3, -4, -7, -34, -51 Sort 262, 2/7, 0.041 in descending order. 262, 2/7, 0.041 Sort 3, 25000397, 2 in decreasing order. 25000397, 3, 2 Sort -2, -44, 252, 8, 12 in ascending order. -44, -2, 8, 12, 252 Sort 1, -4, -21, 39279, -3 in descending order. 39279, 1, -3, -4, -21 Sort -473, 40, 4, 0, 37, -4, -3 in descending order. 40, 37, 4, 0, -3, -4, -473 Put 260, -2, 15, 76, -0.065 in ascending order. -2, -0.065, 15, 76, 260 Sort 2/3, 2/5, 1/9, 2/7, -202, 622 in increasing order. -202, 1/9, 2/7, 2/5, 2/3, 622 Sort 0.5, -632, -3/332557 in decreasing order. 0.5, -3/332557, -632 Put 164, 5, -3, 4, 115, -4, 3 in descending order. 164, 115, 5, 4, 3, -3, -4 Put -3/7, -12/5, 0.07, -7, 1/205 in ascending order. -7, -12/5, -3/7, 1/205, 0.07 Sort -153, 52, 20, 28, 2 in descending order. 52, 28, 20, 2, -153 Sort -0.805, 24, 5/39, 4, 3, 1 in descending order. 24, 4, 3, 1, 5/39, -0.805 Put 1, -1647, 4/3, 5, -5, 6/11, 15 in descending order. 15, 5, 4/3, 1, 6/11, -5, -1647 Put -7, 1, -3, 389, 14 in decreasing order. 389, 14, 1, -3, -7 Put 30228, 3, 51 in descending order. 30228, 51, 3 Sort -2, -33.38, 1631/5, 0.5 in decreasing order. 1631/5, 0.5, -2, -33.38 Sort 35, 118, -3, 2, 1, 88 in increasing order. -3, 1, 2, 35, 88, 118 Sort 1017, 911, 1, 0, 2. 0, 1, 2, 911, 1017 Put 46, 0, -30, -3, 1, -36 in descending order. 46, 1, 0, -3, -30, -36 Put 4, -15181, -5, 2, 0 in descending order. 4, 2, 0, -5, -15181 Sort 173, -2071, -11 in ascending order. -2071, -11, 173 Put -5, -28, 20, -3, 714 in decreasing order. 714, 20, -3, -5, -28 Put -0.4, -10, -7/3, -8, -1/27 in increasing order. -10, -8, -7/3, -0.4, -1/27 Put -3/8, -62962844, 5, 5/6 in decreasing order. 5, 5/6, -3/8, -62962844 Put -0.029, 433646, 28 in ascending order. -0.029, 28, 433646 Sort 0.69, 5, -0.5, -0.3, -2/497. -0.5, -0.3, -2/497, 0.69, 5 Sort 60, -26, -1/3, 3783 in ascending order. -26, -1/3, 60, 3783 Put 1, -34, 17, 28, 4, -5, 6 in ascending order. -34, -5, 1, 4, 6, 17, 28 Put 3, -1388, -1824, 4, 2, 5 in ascending order. -1824, -1388, 2, 3, 4, 5 Put -4, -25, 0.4, -22, 1.24, 4, -1 in increasing order. -25, -22, -4, -1, 0.4, 1.24, 4 Sort 2, -4, -2, -123, 669, 3, -15 in ascending order. -123, -15, -4, -2, 2, 3, 669 Sort 2/5, -1.07, -13393, 2 in decreasing order. 2, 2/5, -1.07, -13393 Sort -1114, -5, 5, -2, -110. -1114, -110, -5, -2, 5 Put -5, -1250, -27, -299 in descending order. -5, -27, -299, -1250 Sort 3, 4, 1, -31242, 0, -14. -31242, -14, 0, 1, 3, 4 Put -2, 331520, 5, 0 in decreasing order. 331520, 5, 0, -2 Sort 2, 6, -1770925. -1770925, 2, 6 Sort -2412, -1, 1, -5, -2 in decreasing order. 1, -1, -2, -5, -2412 Sort -4435, 4, -2, 251, 1 in increasing order. -4435, -2, 1, 4, 251 Put -12, 5, -1, 261, -5 in decreasing order. 261, 5, -1, -5, -12 Sort 2, -341/4815, 0 in descending order. 2, 0, -341/4815 Sort 0, -3, -9, -12, 0.04. -12, -9, -3, 0, 0.04 Sort -3, -5, -101.9, -38, -1. -101.9, -38, -5, -3, -1 Sort -1, -75417, 99, 2 in decreasing order. 99, 2, -1, -75417 Put -8, -1, 13, 42, 2 in descending order. 42, 13, 2, -1, -8 Put 5, -1/6845, -17 in decreasing order. 5, -1/6845, -17 Sort -1/2, 4, -4/9, 39, -1.7, 1.3 in decreasing order. 39, 4, 1.3, -4/9, -1/2, -1.7 Sort -4, 3, 1, 4, 44535, -0.11. -4, -0.11, 1, 3, 4, 44535 Put -5161, 2, 18221 in decreasing order. 18221, 2, -5161 Sort -3, 1, -70, -7, -138, 16 in ascending order. -138, -70, -7, -3, 1, 16 Sort 3, -4, -170, -7, -149 in descending order. 3, -4, -7, -149, -170 Sort 111166, -3, -5 in descending order. 111166, -3, -5 Sort 3/5, -2, 106/3, 3220. -2, 3/5, 106/3, 3220 Sort 2325.62, -25, -4. -25, -4, 2325.62 Sort -77795, -1103, 1. -77795, -1103, 1 Put -27, -42, -344 in increasing order. -344, -42, -27 Put -20, 42, 27, 2, 5, 3 in descending order. 42, 27, 5, 3, 2, -20 Put 3, -447, 21, 1111 in ascending order. -447, 3, 21, 1111 Sort -2/5, -1/3, -1, -91, 2/5, -5/8 in descending order. 2/5, -1/3, -2/5, -5/8, -1, -91 Put -4, -825, -36, -8, 1 in descending order. 1, -4, -8, -36, -825 Sort -78, -15, -55, -2, 5 in increasing order. -78, -55, -15, -2, 5 Sort -2/525, -5, 0.09, -78 in descending order. 0.09, -2/525, -5, -78 Put 176031, -5, 1, -7, 2, -9, -1 in increasing order. -9, -7, -5, -1, 1, 2, 176031 Sort -2, 3, 0.8, 63, -4, 0.2, -0.56 in descending order. 63, 3, 0.8, 0.2, -0.56, -2, -4 Put 2, -62, 1, -13, -3 in decreasing order. 2, 1, -3, -13, -62 Put 3800, 45, -13, -23 in increasing order. -23, -13, 45, 3800 Put 4, -15, 35, -48, -7, -1 in descending order. 35, 4, -1, -7, -15, -48 Sort 42, 5, -128, -386. -386, -128, 5, 42 Sort 3265, -2, 71, -1 in descending order. 3265, 71, -1, -2 Sort -77, -452491, 2 in ascending order. -452491, -77, 2 Sort -2, 14, 2, -12, -383 in descending order. 14, 2, -2, -12, -383 Sort 3182, 2, 1559, -4 in descending order. 3182, 1559, 2, -4 Sort -548, 890, 12 in descending order. 890, 12, -548 Put -5, -1043226, 20, 4 in increasing order. -1043226, -5, 4, 20 Sort -3/22340, -1, 0.1 in decreasing order. 0.1, -3/22340, -1 Put 14/3, 0.4, 5, -413, 1061 in ascending order. -413, 0.4, 14/3, 5, 1061 Put 1/10, 0.2, -18908, 2/5, 5 in descending order. 5, 2/5, 0.2, 1/10, -18908 Put 12/19, -5, 3474, -2 in descending order. 3474, 12/19, -2, -5 Sort 110109, 72, 0. 0, 72, 110109 Sort 96, 4, -1, -2879 in descending order. 96, 4, -1, -2879 Put 103.5, 2/5, 403546 in ascending order. 2/5, 103.5, 403546 Put 6, 2, -353, 38, -4 in decreasing order. 38, 6, 2, -4, -353 Put 83, -4, 489, 0 in increasing order. -4, 0, 83, 489 Put 12, -3, 668521, 2 in decreasing order. 668521, 12, 2, -3 Sort -5, 0, 2/5, -4, 57851, -1. -5, -4, -1, 0, 2/5, 57851 Put -18353, -2, -322, -5 in increasing order. -18353, -322, -5, -2 Sort -19, -2, -4, -15, 417, -1. -19, -15, -4, -2, -1, 417 Put -4, -2/37, 19, 101, -1/7, 2 in descending order. 101, 19, 2, -2/37, -1/7, -4 Put -18, -22170, 4, 0.4, -3/5 in descending order. 4, 0.4, -3/5, -18, -22170 Sort 235/3, -2/21, 59 in descending order. 235/3, 59, -2/21 Sort -1530, 2, 105, -3, -5, 5 in decreasing order. 105, 5, 2, -3, -5, -1530 Sort -6/17, -5, 1815, 2/5, 0.3 in descending order. 1815, 2/5, 0.3, -6/17, -5 Sort 155, -5, 13218 in ascending order. -5, 155, 13218 Put -9, 161, -5, 1, -2, -15, -4 in descending order. 161, 1, -2, -4, -5, -9, -15 Put 8472, 20, 3, 36 in decreasing order. 8472, 36, 20, 3 Sort 3/2, 40, 0.13, 5, 100/21 in descending order. 40, 5, 100/21, 3/2, 0.13 Sort -33, 293, 37 in decreasing order. 293, 37, -33 Put 80, 4, 16, 15, -5, 1 in decreasing order. 80, 16, 15, 4, 1, -5 Put 0.16, -0.0893, 1/5, 0, 78/25 in decreasing order. 78/25, 1/5, 0.16, 0, -0.0893 Sort -4, 5, 0.30357, -2. -4, -2, 0.30357, 5 Put -6, 1, 279, -2, 2 in descending order. 279, 2, 1, -2, -6 Sort 0, -4, 5, -115506, -1 in descending order. 5, 0, -1, -4, -115506 Put -23, 8, 10, -2676, 3 in descending order. 10, 8, 3, -23, -2676 Put -2/5, -851/128, 3/5 in descending order. 3/5, -2/5, -851/128 Put -3, -2, -34, -925, 3 in ascending order. -925, -34, -3, -2, 3 Put 1, -86, -42966 in descending order. 1, -86, -42966 Sort -106, 3, 596, -7 in descending order. 596, 3, -7, -106 Sort -47, -1, -5, 3767 in descending order. 3767, -1, -5, -47 Put 25772, -2, -22, 0, -1 in decreasing order. 25772, 0, -1, -2, -22 Put -7526, 1/2, -0.0274 in descending order. 1/2, -0.0274, -7526 Put -9, -2/11, -2/5, -5, 4, 46, -1 in increasing order. -9, -5, -1, -2/5, -2/11, 4, 46 Put -6/13, 1536.78, -2/15, 3 in ascending order. -6/13, -2/15, 3, 1536.78 Sort 1743, -9, 4, 41 in descending order. 1743, 41, 4, -9 Sort -191, -294, 53, 3 i
{ "pile_set_name": "DM Mathematics" }
ird derivative of 2*b**5 - 2*b**3 + 21*b**2 wrt b? 120*b**2 - 12 What is the second derivative of -130*c**3 + 9*c**2*s**2 + 2324*c*s**2 wrt c? -780*c + 18*s**2 Differentiate -796*y**2 - 2*y + 693. -1592*y - 2 What is the third derivative of -10*i**4*t + 4*i**4 - 223*i**2*t - 2*t wrt i? -240*i*t + 96*i What is the derivative of -2*a**2*p*u - a**2*p - 2*a*p - 57*a*u + 3*p*u + 12*u wrt a? -4*a*p*u - 2*a*p - 2*p - 57*u What is the second derivative of -6*r**3 - 18*r**2 + 1192*r? -36*r - 36 What is the third derivative of -8*s**6 - 16*s**5 - 8*s**2 + 18? -960*s**3 - 960*s**2 Find the second derivative of 875*c**4 + 2422*c wrt c. 10500*c**2 Find the second derivative of 9*h*j**2*s**2 + 2*h*j*s + 7*h*j + 6*j**2*s**2 - 4*j**2 wrt s. 18*h*j**2 + 12*j**2 What is the derivative of -1967*d**2 - 711? -3934*d Find the third derivative of 3*c*d*f**3 - 2*c*d*f**2 + 51*c*d + 53*d*f**4 wrt f. 18*c*d + 1272*d*f Differentiate -1193*x**3 + 2523. -3579*x**2 What is the third derivative of 8154*d**3*p**3 + 516*d**3 - 4*d**2 - 2*d - p**2 wrt p? 48924*d**3 What is the first derivative of 2*f**2*q*v - 30*f**2*v - 11654*f*q*v + 290*f*v + 2*v wrt q? 2*f**2*v - 11654*f*v What is the third derivative of 45*d**3*s**2 - 559*d**2*s**2 wrt d? 270*s**2 Find the second derivative of -b**2*r**2*t - b**2*r*t**2 + b*r*t + 35*r**2*t**2 - 56*r*t wrt r. -2*b**2*t + 70*t**2 What is the second derivative of j*u**5 - 346*j*u**2 + 5*j*u + 30*u wrt u? 20*j*u**3 - 692*j Find the third derivative of -2*b**2*d**3 + 4*b**2 - 107*b*d**5 + 69*d**2 wrt d. -12*b**2 - 6420*b*d**2 Find the first derivative of 105*p**3*z - 120*p**3 wrt z. 105*p**3 Find the third derivative of 47*i**4 + 8*i**3 + 52*i**2. 1128*i + 48 Find the second derivative of 102*s**4 + 1050*s. 1224*s**2 Find the third derivative of -10*o**5*p + 60*o**4*p**3 + 17*o**2*p**2 + o*p**3 - 3*p wrt o. -600*o**2*p + 1440*o*p**3 What is the second derivative of 12*n**3*u**3 - n**3*u*y**2 + 2*n**2*u - 110*n*u**3*y**2 - 2*n*u*y**2 + 43*u wrt u? 72*n**3*u - 660*n*u*y**2 What is the third derivative of 5*h*y**4 - 2*h*y**2 + 45*y**4 + y**2 + 87 wrt y? 120*h*y + 1080*y What is the third derivative of -6*i**6 + 63*i**5 + 2*i**4 - 1853*i**2 - 2 wrt i? -720*i**3 + 3780*i**2 + 48*i Find the third derivative of 152*h**2*v**6 + 43*h**2*v**2 - 9*v**6 - 17*v**2 wrt v. 18240*h**2*v**3 - 1080*v**3 Differentiate -21455*q - 3532 with respect to q. -21455 Find the third derivative of -2*s*x**3 - 4*s*x**2 + 66*s - 444*x**3 wrt x. -12*s - 2664 What is the derivative of 1647*t**4 + 356? 6588*t**3 Find the third derivative of 22*u**3*w**3 - 2*u**3*w - 2*u**2*w**2 + 84*w**3 wrt u. 132*w**3 - 12*w What is the third derivative of -2691*n**4 + 21*n**2 - 2*n - 128? -64584*n Find the third derivative of g**3*q**2 + 632*g**3*q + 281*g**2 - 22*q**2 wrt g. 6*q**2 + 3792*q Find the second derivative of 9796*d**2*j - 2*d*j + 647*d + j wrt d. 19592*j Find the first derivative of 738*s**4 + 1752. 2952*s**3 Find the third derivative of -1761*c**4 - c**2 + 7851 wrt c. -42264*c What is the derivative of 1036*a**3 + 2695? 3108*a**2 What is the second derivative of 4006*o**5 - o + 761? 80120*o**3 What is the third derivative of 305*s**3 - 475*s**2? 1830 Find the third derivative of -2*g**4*v - 96*g**3*v + 2*g**2*v + 12*g*v wrt g. -48*g*v - 576*v Find the third derivative of -295*p**3*t**4 - 2*p**3 + p*t**4 - 97*p*t**2 wrt t. -7080*p**3*t + 24*p*t What is the third derivative of 63*w**4 - 12*w**2 - 3*w? 1512*w Find the third derivative of -j*t**6 - 148*j*t**4 - j*t**3 + 3*j*t**2 + 1803*t**2 wrt t. -120*j*t**3 - 3552*j*t - 6*j What is the second derivative of 773*h**2 - 27*h? 1546 Find the second derivative of -151*u**5 + 9*u + 64. -3020*u**3 Find the second derivative of -2*g**5 + 70*g**3 + 192*g wrt g. -40*g**3 + 420*g What is the third derivative of 462*a**2*f**5 - 3*a**2 - 4*a*f**5 + 560*a*f**2 wrt f? 27720*a**2*f**2 - 240*a*f**2 Differentiate 18186*z + 16806 wrt z. 18186 Find the third derivative of -738*j**2*t**3 + 102*j**2*t**2 - 2*j wrt t. -4428*j**2 Find the third derivative of 204*n**3 - 224*n**2. 1224 What is the derivative of -2*g**2*m**3 - g**2*t + 10*g*t + 8*m**3*t - 3*m*t + t wrt m? -6*g**2*m**2 + 24*m**2*t - 3*t Find the third derivative of 311*g**5 + 2*g**2 - 457*g wrt g. 18660*g**2 Find the second derivative of 66*v**2*w**2 + 18*v**2*w wrt w. 132*v**2 Find the third derivative of -100*j**2*n**6 - j**2 - 129*n**2 - 1 wrt n. -12000*j**2*n**3 Find the second derivative of 1339*t**4*w + 10*t + 67*w + 1 wrt t. 16068*t**2*w What is the second derivative of -192*n**2*s**2 + 2*n**2 + 2*s - 168 wrt s? -384*n**2 Differentiate -4*u*x**3 - 1206*u - 96*x**2 + 1 wrt x. -12*u*x**2 - 192*x What is the derivative of -3*k**2*n**2 + 1471*k**2 + 303*n**2 wrt n? -6*k**2*n + 606*n What is the second derivative of 220*n**5 + 120*n? 4400*n**3 What is the third derivative of -2*n**4*t**3 + 436*n**3*t**3 - n**2*t**3 + 1978*n**2 + n*t**3 wrt n? -48*n*t**3 + 2616*t**3 What is the first derivative of 136*j*o**3 + j*o - 6*o**3 wrt j? 136*o**3 + o What is the third derivative of 38*p**3 - 13*p**2 - 2? 228 Find the second derivative of 12*w**5 + 4*w**4 - 54*w**3 - 17577*w. 240*w**3 + 48*w**2 - 324*w What is the third derivative of -22*k**3*p**2 + 2*k**3*p*r**3 + 28*k**3 + k**2*p**2*r**3 + 2*k*p**2*r**3 - 2350*k - p**2*r**3 wrt k? -132*p**2 + 12*p*r**3 + 168 Differentiate -4*a**4 + 1335*a + 790 with respect to a. -16*a**3 + 1335 Differentiate 7*k**2*s - 81*k**2*v**3 - 2*k**2*v + 5*k**2 + 28*s**2*v**3 - 2*s**2*v**2 wrt s. 7*k**2 + 56*s*v**3 - 4*s*v**2 What is the second derivative of 1752*v**3 - 3738*v wrt v? 10512*v Differentiate 635*j**4 + 316 with respect to j. 2540*j**3 Find the third derivative of -2*b**2*c*s**2 + b**2*s**3 + 7*b**2*s - 3*b**2 - 5*b*c*s**3 + 138*b*c*s + 408*b*s**3 + c*s**3 wrt s. 6*b**2 - 30*b*c + 2448*b + 6*c What is the second derivative of 156*o**4*s + o**3*s - 2*o*s - 51*o wrt o? 1872*o**2*s + 6*o*s Find the third derivative of 83*q**6 + 352*q**2 + q. 9960*q**3 What is the derivative of -726*j**3 + 2*j**2 - 313 wrt j? -2178*j**2 + 4*j Find the second derivative of -18*b**2*z**4 + b**2*z - 26*b*v*z + v*z**2 + 2*v*z wrt z. -216*b**2*z**2 + 2*v What is the derivative of 2*p**2 - 80*p + 481? 4*p - 80 Find the second derivative of -15*d**3*q**2 + 2*d**3*q - d**2*q - 457*d*q + 18*q**3 wrt q. -30*d**3 + 108*q Find the third derivative of -7724*i**4 + 6585*i**2 wrt i. -185376*i Find the second derivative of -872*r**4 - 2*r**3 - r**2 + 601*r wrt r. -10464*r**2 - 12*r - 2 What is the third derivative of 4*c**6*r**2 + 23*c**3*r**2 + 4*c**2 - 119*r**2 wrt c? 480*c**3*r**2 + 138*r**2 Find the third derivative of -62*f**5 - 2*f**4 + 29*f**2 + 47. -3720*f**2 - 48*f What is the derivative of 2*r**2*v**3 - 15*r**2 + 41*r*v**2 + 10*v**3 - 482*v**2 wrt r? 4*r*v**3 - 30*r + 41*v**2 Differentiate 2*x**3 - 41*x**2 + 10*x + 2719 wrt x. 6*x**2 - 82*x + 10 Differentiate 2*q*r**2 + 2*q*r + 2*q + 5*r**2 + 28 with respect to r. 4*q*r + 2*q + 10*r Find the third derivative of -383*w**6 - w**4 - 11*w**2 + 7*w. -45960*w**3 - 24*w What is the first derivative of -3*f*n + 15*f + 200*n wrt f? -3*n + 15 What is the second derivative of -4*v**3 + 51*v**2 + 3*v - 45 wrt v? -24*v + 102 Find the second derivative of -5*a**3*j**2 + 224*a**3*j - 2*a**2*j**3 - 2*a**2 - 4*j**2 wrt j. -10*a**3 - 12*a**2*j - 8 Differentiate 53*q**2*s**4 + q**2*s + q**2 + 126 with respect to s. 212*q**2*s**3 + q**2 What is the third derivative of -2*p**3*s - 349*p**3 + 1827*p**2*s - 2*p**2 wrt p? -12*s - 2094 What is the third derivative of 912*q**3 - 6063*q**2 wrt q? 5472 Find the third derivative of -32*d**4*i**2 - d**4*i + 39*d**4 + 2*d**2*i**2 + d**2*i + 33*i**2 + 47 wrt d. -768*d*i**2 - 24*d*i + 936*d What is the third derivative of -j**2*x**4 + 2*j**2*x**2 + j**2*x - 52*j*x**4 - 5*x**4 + 116 wrt x? -24*j**2*x - 1248*j*x - 120*x Find the first derivative of g**3 - 10*g**2 + 533*g + 7387. 3*g**2 - 20*g + 533 Find the second derivative of -9*b**2*r**2 - 4*b**2*r - 86*b*r**2*u - b*r*u + 173*b*u - 2*r**2 wrt r. -18*b**2 - 172*b*u - 4 What is the first derivative of -3*f*j + 201*f - 19*j + 14 wrt f? -3*j + 201 Find the second derivative of -251*j**2 + 1139*j + 2 wrt j. -502 What is the third derivative of -2*p**6 - p**3 - 3*p**2
{ "pile_set_name": "DM Mathematics" }
t k(x) be the first derivative of 2*x**3 - 21 + 9/4*x**4 + 1/2*x**2 + 0*x + 4/5*x**5. What is w in k(w) = 0? -1, -1/4, 0 Let t(n) be the third derivative of n**6/30 + 2*n**5/15 - 4*n**4 + 2*n**2 + 131*n. Factor t(v). 4*v*(v - 4)*(v + 6) Let h(o) be the first derivative of -o**5/15 - 7*o**4/12 - 14*o**3/9 - 4*o**2/3 + 60. Factor h(n). -n*(n + 1)*(n + 2)*(n + 4)/3 Suppose 0 = 3*s + y, -y = 4*s - 5*y. Suppose s = -15*c + 7*c + 24. Factor a + 0*a**2 - 4*a**2 + 5*a**3 - c*a + a. a*(a - 1)*(5*a + 1) Let p = 38 + -52. Let l be ((-3)/(-24))/((-7)/p). Factor -1/2 + l*s + 3/4*s**2. (s + 1)*(3*s - 2)/4 Suppose 22*g = -6 + 6. Let n(w) be the first derivative of -2/25*w**5 + 1/15*w**3 + 0*w + 1/20*w**4 + g*w**2 + 8. Let n(a) = 0. Calculate a. -1/2, 0, 1 Let j(q) be the third derivative of q**5/120 + 7*q**4/24 - 5*q**3/4 + 14*q**2 - 4. Factor j(p). (p - 1)*(p + 15)/2 Let x(h) = h**2 + 16*h - 10. Let i be x(-12). Let y = -58 - i. Factor k + y - 3/2*k**2. -k*(3*k - 2)/2 Let v(k) be the third derivative of -19/20*k**5 + 16*k**2 - 7/6*k**3 + 3/40*k**6 - 41/24*k**4 + 0 + 0*k. Suppose v(z) = 0. Calculate z. -1/3, 7 Let l(m) = 5*m**2 - 2. Let g(v) = 1. Let j be (0 - 1)/(-6 + (1 - -4)). Let q(d) = j*l(d) - 3*g(d). Factor q(x). 5*(x - 1)*(x + 1) Suppose 0 - 3/8*u**3 + 1/4*u + 1/8*u**4 - 1/8*u**2 + 1/8*u**5 = 0. What is u? -2, -1, 0, 1 Let t(x) = -2*x**2 + 91*x + 244. Let v be t(48). Determine n so that 24/7*n + 0 + 12*n**2 + 15/7*n**v + 66/7*n**3 = 0. -2, -2/5, 0 Let r(c) be the second derivative of -c**6/120 - c**5/40 + c**4/16 + c**3/3 + c**2/2 - 56*c. Factor r(y). -(y - 2)*(y + 1)**2*(y + 2)/4 Let p(h) = 2*h + 25. Let t = -7 - 4. Let x be p(t). Let -448*v**x - 1408*v**2 - 1361*v + 547*v**5 - 68*v**4 - 687*v - 1024 - 551*v**5 = 0. Calculate v. -4, -1 Let v(j) = -5*j**2 - 31*j - 62. Let r(g) = -g + 3. Let z(a) = 4*r(a) + v(a). Factor z(l). -5*(l + 2)*(l + 5) Let d(g) be the first derivative of 1/8*g**6 - 11 - 3/10*g**5 + g**3 - 3/2*g + 3/8*g**2 - 3/8*g**4. Let d(j) = 0. Calculate j. -1, 1, 2 Let i = 6644 - 59792/9. Factor 0 + 64/9*d**5 + 0*d + i*d**3 + 32/9*d**4 + 0*d**2. 4*d**3*(4*d + 1)**2/9 Find n such that 0 + 2/11*n**2 + 4/11*n = 0. -2, 0 Let h(z) be the third derivative of -z**5/660 + 47*z**4/264 + 8*z**3/11 - 2*z**2 - 119. Suppose h(r) = 0. What is r? -1, 48 Let m(i) be the second derivative of i**6/120 - i**5/20 + i**4/12 + 11*i**2/2 + 11*i. Let q(o) be the first derivative of m(o). Factor q(w). w*(w - 2)*(w - 1) Let x = -1 + 14. Let l(j) = -j**2 + 10*j + 13. Let n be l(11). What is o in o + 3*o**4 + x*o**n + 9*o**3 + 0*o + 2*o - 4*o**2 = 0? -1, 0 Factor 0 + 0*r + 2/3*r**4 + 8/3*r**3 - 10/3*r**2. 2*r**2*(r - 1)*(r + 5)/3 Let m(y) be the second derivative of y**5/20 - y**4/4 + y**3/3 - y - 6. Let m(q) = 0. Calculate q. 0, 1, 2 Suppose -39/4*v**3 + 0 - 3/4*v**5 + 0*v - 6*v**4 - 9/2*v**2 = 0. What is v? -6, -1, 0 Let k = -28 - -31. Suppose 5*n = k*u - 4 - 2, -4*u + 8 = -4*n. Solve -m**3 - m**2 + 2*m**3 + 4 + 3*m**2 - 5*m**u = 0. -1, 2 Let i = 21281 + -21279. Factor -2*m - 2/3*m**4 + 0 + 2/3*m**i + 2*m**3. -2*m*(m - 3)*(m - 1)*(m + 1)/3 Let z = 38 - 32. Determine p, given that z*p**2 + 2*p**2 - 5*p - 6 - 3*p**2 + 1 + 5*p**3 = 0. -1, 1 Let p(d) be the third derivative of -d**7/840 + 37*d**6/480 - 39*d**5/20 + 45*d**4/2 - 72*d**3 + 4*d**2 - 7. Suppose p(t) = 0. Calculate t. 1, 12 Let u(k) = 14*k + 28. Let g be u(-8). Let a be 72/g*2/(-4). Find l, given that -a*l**5 - 3/7*l**3 + 0*l**2 + 6/7*l**4 + 0 + 0*l = 0. 0, 1 Let g(n) be the third derivative of -n**5/120 - 5*n**4/48 + 2*n**3 + 48*n**2. Determine s so that g(s) = 0. -8, 3 Let s(k) be the third derivative of k**6/30 + 118*k**5/15 + 1798*k**4/3 + 13456*k**3/3 + 470*k**2. Let s(g) = 0. What is g? -58, -2 Let t be (-413)/(-118) - 3/(-2). Let k(n) be the first derivative of 4/5*n**t - 7 - 2*n**3 + 3/2*n**4 + 0*n - 2*n**2. Factor k(d). 2*d*(d - 1)*(d + 2)*(2*d + 1) Factor 0 - 3/5*f**3 + 5*f**2 + 1/5*f**5 - 9/5*f**4 + 18/5*f. f*(f - 9)*(f - 2)*(f + 1)**2/5 Let x(l) be the first derivative of 2*l**3/39 - 2*l/13 - 365. Factor x(g). 2*(g - 1)*(g + 1)/13 Suppose 33/2*h + 15 + 3/2*h**2 = 0. Calculate h. -10, -1 Let r be -4 - (-7 + 1/(-1)). Determine p, given that -2*p**r + 2*p**2 - 9*p**3 + 10*p**4 - p**4 = 0. 0, 2/7, 1 Factor a**5 - 10*a**4 + 40*a**4 - 26*a**4 + 0*a**5 - 16*a - 16*a**2. a*(a - 2)*(a + 2)**3 Let n(y) = -2*y**3 - 115*y**2 - 646*y - 248. Let f(d) = -d**3 + d**2 - d + 2. Let i(l) = 6*f(l) + 2*n(l). Factor i(w). -2*(w + 11)**2*(5*w + 2) Let x be (34/255)/(1/5). Let h(d) be the first derivative of 5 + 0*d**2 + 0*d + x*d**3. What is r in h(r) = 0? 0 Suppose -60 = -f - 4*f. Let h(d) = -d + 14. Let t be h(f). Let -3*r + 2*r + 2*r**3 + 2*r**3 - r + t*r**2 = 0. Calculate r. -1, 0, 1/2 Let s(d) be the first derivative of 3*d**4/4 - 8*d**3 + 24*d**2 + 429. Determine v, given that s(v) = 0. 0, 4 Let z = 27808 + -83420/3. What is p in -2/3*p**2 - z*p - 2/3 = 0? -1 Let d(r) be the third derivative of r**8/840 - r**7/525 - 11*r**6/300 + 29*r**5/150 - 13*r**4/30 + 8*r**3/15 - 829*r**2. Solve d(f) = 0 for f. -4, 1, 2 Let c(u) = -u - 10 + 14 + 15. Let w be c(15). Solve 30 + 0*b**4 + 5*b**4 - 38 - 12*b + 4*b**2 + 12*b**3 - b**w = 0. -2, -1, 1 Suppose -4*y + 34 = -5*y. Let p = 12 - y. Factor -9*n + 29*n + 15*n**3 - 40 + p*n**2 + 4*n**2. 5*(n + 2)**2*(3*n - 2) Let z(g) be the second derivative of -g**4/6 + 23*g**3/3 - 60*g**2 + 251*g - 1. Determine j, given that z(j) = 0. 3, 20 Suppose -34*t + 28*t - 48 = 0. Let x(f) = 4*f**4 - 8*f**3 + 9*f**2 + 5. Let o(p) = -6*p**4 + 12*p**3 - 14*p**2 - 8. Let d(s) = t*x(s) - 5*o(s). Factor d(i). -2*i**2*(i - 1)**2 Let a(v) be the third derivative of v**7/70 - 9*v**6/20 + 24*v**5/5 - 16*v**4 - 96*v**2. Factor a(d). 3*d*(d - 8)**2*(d - 2) Let t(g) be the first derivative of -3/2*g**3 - 21/16*g**4 + 9/20*g**5 + 0*g + 9 + 0*g**2. Determine r, given that t(r) = 0. -2/3, 0, 3 Let t(b) = b - 9. Let s be t(11). Suppose 2*r + 2 = 5*c - 3, 0 = r - 5. Suppose -2*i + 5*i**c - 2*i + 3*i**s - 2*i**3 - 2*i = 0. What is i? -2, 0, 1 Suppose -s + 0*s - 29 = -g, 0 = -s - 5*g - 47. Let d be (-11)/22*s/26. Solve -6/13*c**2 + d*c - 2/13 = 0 for c. 1/3, 1 Let v(x) be the second derivative of x**6/1440 - x**5/80 + 5*x**4/96 - 14*x**3/3 + 3*x. Let r(c) be the second derivative of v(c). Factor r(j). (j - 5)*(j - 1)/4 Let o(b) be the third derivative of b**7/1680 - b**6/192 - b**5/48 + 5*b**4/48 + b**3/2 + 4*b**2 - 2. Find z such that o(z) = 0. -2, -1, 2, 6 Let v(r) = 15*r**2 - 58*r - 3. Let g be v(4). Let n(q) be the second derivative of -1/5*q**g - 5*q - 1/3*q**3 + 1/2*q**4 + 0 + 0*q**2. Factor n(o). -2*o*(o - 1)*(2*o - 1) Let w(x) be the third derivative of x**5/30 + 47*x**4/108 + 10*x**3/27 + 15*x**2 + 2. Factor w(d). 2*(d + 5)*(9*d + 2)/9 Let y(k) be the first derivative of k**4/7 - 19*k**3/21 - 29*k**2/14 - 6*k/7 - 17. Let y(u) = 0. What is u? -1, -1/4, 6 Let b = -2/24289 + 485794/170023. Factor 0 + b*v**4 + 24/7*v**3 + 0*v + 4/7*v**2. 4*v**2*(v + 1)*(5*v + 1)/7 Let p = 28998121/8104818 - 14606/3077. Let r = -1/439 - p. Determine i, given that 1/2 + 1/3*i**2 - r*i = 0. 1/2, 3 Suppose -c + t = 2*t, 3*t + 15 = 0. Suppose -3*j + 71 = 4*q, -39 = q - 3*q - c*j. Factor 5*x**3 - q*x - 8*x**2 + 13*x**3 - 27*x**5 + 18*x. -x*(x + 1)*(3*x - 1)**3 Let w be ((-5)/3)/((-6)/108*6). Let r(x) be the third derivative of 0 + x**2 + 0*x + 0*x**3 + 0*x**4 - 1/735*x**7 + 1/105*x**6 - 1/70*x**w. Factor r(d). -2*d**2*(d - 3)*(d - 1)/7 Let x(q) = -3*q**3 - 2*q**2 + 9*q - 6. Let u(k) = 10*k**3 + 7*k**2 - 28*k + 18. Let v(p) = 4*u(p) + 14*x(p). Determine j so that v(j) = 0. -3, 1, 2 Let g be (-22)/(-22)*(-2)/((-9 + 2)*2). Let -1/7*x**4 - g + 2/7*x**2 + 2/7*x**3 - 1/7*x**5 - 1/7*x = 0. Calculate x. -1, 1 Let s(f) be the second derivative of f**5/80 + f**4/48 - 17*f**3/24 + 15*f**2/8 - 4*f - 24. Factor s(i). (i - 3)*(i - 1)*(i + 5)/4 Suppose -3*b = -5*f - 29, -3*b + 15 = -4*f - 10. Factor 4/7*n + 0 + 2/7*n**4 - 6/7*n**2 + 0*n**b. 2*n*(n - 1)**2*(n + 2)/7 Let g(q) = 3*q - 26. Let l be g(10). Let c(d) be the second derivative of -1/20*d**5 - 3*d + 0 + 0*d**3 - 1/12*d**l + 0*d**2. Factor c(t). -t**2*(t + 1) Let b be 38/48 - (-94)/(-752). Let 10/9*f**5 - 8/3*f**3 - b*f**4 + 0 + 0*f - 8/9*f**2 = 0. Calculate f. -1, -2/5, 0, 2 Factor 32/1
{ "pile_set_name": "DM Mathematics" }
t n(t) = -296*t + 33794. Determine n(115). -246 Let g(u) = 5*u**2 - 739*u - 318283. Give g(-189). -7 Let p(o) = 8201*o - 2558740. Give p(312). -28 Let g(n) = -2122*n + 1035426. What is g(488)? -110 Let r(z) = 26*z - 625. Determine r(-28). -1353 Let g(d) = 1140*d - 1957. What is g(2)? 323 Let s(t) = 632798*t - 54420614. Calculate s(86). 14 Let o(q) = 7*q + 3326. What is o(-100)? 2626 Let q(l) = l**3 - 27*l**2 - 5843*l + 162843. What is q(28)? 23 Let a(x) = x**3 + 81*x**2 + 318*x + 744. Give a(-77). -26 Let s(x) = 62202*x + 61759. What is s(-1)? -443 Let i(v) = v**3 - 84*v**2 - 366*v + 43494. What is i(82)? 34 Let s(x) = -x**3 + 285*x**2 + 19902*x + 467. Give s(-58). 3 Let o(q) = -9*q**2 - 896*q + 11862. Give o(13). -1307 Let m(t) = 35737*t + 13186940. Determine m(-369). -13 Let w(u) = -u**2 + 5882*u + 47078. Determine w(-8). -42 Let j(o) = 21*o**2 + 934*o + 315. Calculate j(-44). -125 Let p(a) = -122*a**2 - 68*a - 50. Determine p(-2). -402 Let s(o) = -o**2 - 81*o + 173567. What is s(-458)? 901 Let s(o) = -o**3 - 361*o**2 - 369*o - 3188. What is s(-360)? 52 Let j(z) = -3643*z - 146049. Calculate j(-40). -329 Let u(j) = 26788*j - 106701. Give u(4). 451 Let a(w) = w**3 + 104*w**2 + 1861*w - 49. Calculate a(-23). -3 Let p(k) = -762*k - 108126. Determine p(-142). 78 Let u(l) = 9*l**3 + 108*l**2 - 36*l - 445. Determine u(-12). -13 Let n(r) = 181607*r - 544836. What is n(3)? -15 Let p(m) = 63*m + 1004. Give p(-16). -4 Let d(q) = -93*q**3 - 90*q**2. What is d(-1)? 3 Let o(t) = 417*t + 84897. Give o(-205). -588 Let m(g) = -116881*g - 585124. Determine m(-5). -719 Let x(h) = -8*h**3 + h**2 + 8*h - 25. Give x(-6). 1691 Let y(r) = -r**2 - 2*r + 128853. Calculate y(-360). -27 Let z(q) = -3*q**3 + 1359*q**2 - 4061*q + 27. Calculate z(3). -6 Let c(k) = -k**3 + 32*k**2 - 229*k + 7177. What is c(32)? -151 Let y(l) = l**3 - 8*l**2 - 140*l + 186. Determine y(17). 407 Let u(j) = 1366*j + 42538. Calculate u(-31). 192 Let t(k) = -11*k**3 - 5*k**2 - 62*k - 381. Determine t(-6). 2187 Let u(j) = -20*j**3 - 391*j**2 + 3349*j - 145. Determine u(-26). -15 Let j(t) = -2*t**2 - 1240*t + 6233. Determine j(-625). -17 Let r(k) = 11*k**2 + 1248*k - 344019. What is r(129)? 24 Let m(w) = -w**3 - 82*w**2 - 262*w - 2621. Determine m(-79). -646 Let c(t) = t**3 + 10404*t + 52081. Calculate c(-5). -64 Let c(n) = n**3 + 257*n**2 + 2407*n + 5501. Give c(-4). -79 Let t(q) = 24919*q - 74865. Determine t(3). -108 Let o(m) = -406*m + 10910. Calculate o(31). -1676 Let j(r) = -1090*r + 42028. Calculate j(39). -482 Let d(z) = -z**3 - 28*z**2 + 100*z + 301. What is d(-28)? -2499 Let n(v) = v**3 - 9*v**2 + 13519*v - 67551. What is n(5)? -56 Let h(n) = 330*n + 22683. Give h(-69). -87 Let u(v) = 227*v - 9039. Give u(12). -6315 Let d(b) = 17*b**2 + 1428*b + 2836. Determine d(-82). 48 Let l(q) = q**2 - 386*q + 17829. Give l(328). -1195 Let g(d) = -766*d + 53220. Determine g(70). -400 Let q(r) = 815*r**2 - 701*r - 705. Give q(-1). 811 Let p(i) = i**3 - 331*i**2 + 4761*i - 287. Give p(15). 28 Let w(m) = -m**3 + 2816*m**2 + 11275*m - 5. Give w(-4). 15 Let w(o) = 130*o**2 - 692*o - 1381. Calculate w(-2). 523 Let m(z) = 25*z**2 + 339*z - 2212. What is m(7)? 1386 Let l(t) = -t**2 - 289*t + 11469. What is l(-325)? -231 Let y(c) = -43*c**2 - 23*c + 1279. Give y(5). 89 Let g(y) = 2*y**2 + 107794*y - 2911907. Determine g(27). -11 Let n(a) = -69663*a + 16092148. Determine n(231). -5 Let t(m) = -1031048*m - 19589898. Determine t(-19). 14 Let w(o) = -127*o**2 + 17045*o - 3603. Calculate w(134). 15 Let p(d) = 87*d**2 - 695*d - 8. Give p(8). 0 Let w(d) = -32*d**2 + 893*d + 3582. Calculate w(-4). -502 Let s(y) = 55*y + 6541. Determine s(-107). 656 Let h(p) = 47535*p + 47328. Calculate h(-1). -207 Let a(k) = -2*k**3 - 130*k**2 + 117*k - 239. Calculate a(-66). 751 Let d(a) = -a**2 + 54*a + 2219. What is d(83)? -188 Let s(z) = -178*z - 4751. Determine s(-26). -123 Let q(u) = 3*u**3 + 146*u**2 - 203*u - 7547. What is q(-49)? -1 Let v(y) = 5*y**3 + 35*y**2 - 46*y - 286. Determine v(-7). 36 Let n(t) = t**2 + 156*t - 3115. Determine n(18). 17 Let v(u) = -3*u**2 - 999*u + 156252. What is v(-449)? 0 Let x(q) = 6*q**2 - 81034*q + 243043. Give x(3). -5 Let y(t) = 31420*t**2 - 62837*t. Give y(2). 6 Let q(u) = 9663*u + 1951924. Give q(-202). -2 Let a(f) = -1260*f + 330121. Determine a(262). 1 Let m(z) = 2*z**2 + 1712*z - 11927. Determine m(7). 155 Let t(r) = 9*r**3 + 18*r**2 + 50*r - 5. Give t(-3). -236 Let m(c) = 4*c**2 + 75396*c + 5557393. Determine m(-74). -7 Let p(d) = 316*d**2 + 4431*d + 118. What is p(-14)? 20 Let n(d) = -9*d**3 - 190*d**2 - 23*d - 72. What is n(-21)? -30 Let i(w) = 6949*w - 7463219. Give i(1074). 7 Let m(w) = -13*w**2 + 218*w - 275. Give m(11). 550 Let h(c) = 143*c - 25306. What is h(180)? 434 Let a(v) = -v**2 - 9722*v - 3126745. Determine a(-333). -208 Let l(x) = x**3 + 60*x**2 + 891*x - 72. Determine l(-28). 68 Let h(w) = 2*w**2 + 3274*w - 391772. Determine h(-1749). 4 Let h(a) = 191*a**3 + 13*a**2 - 52*a - 160. What is h(-2)? -1532 Let w(t) = 186349*t + 2049839. Calculate w(-11). 0 Let f(a) = 1092*a + 123452. What is f(-113)? 56 Let t(f) = -54*f**2 - 519*f + 141. Determine t(-9). 438 Let x(p) = 3883520*p + 11650562. Give x(-3). 2 Let f(i) = 11*i**2 + 2881*i + 5367. Determine f(-260). -93 Let v(u) = -8*u**2 - 1019*u + 851. Calculate v(-128). 211 Let c(b) = -14579*b - 160229. Determine c(-11). 140 Let p(k) = k**2 - 1490*k - 65930. Determine p(-43). -11 Let f(y) = -15*y**2 - 1672*y - 9527. Calculate f(-6). -35 Let v(z) = -2*z**3 + 158*z**2 + 49*z - 3918. Calculate v(79). -47 Let v(z) = -102925*z + 514611. What is v(5)? -14 Let x(y) = -116529*y + 2447082. Determine x(21). -27 Let q(l) = 30*l + 1238. What is q(-45)? -112 Let l(o) = -o**2 - 6592*o + 2745115. What is l(393)? 10 Let j(k) = -543*k**2 - 5517*k - 865. Determine j(-10). 5 Let p(t) = -2*t**2 + 57*t - 231. What is p(44)? -1595 Let t(u) = 988*u - 2074. Determine t(2). -98 Let g(q) = -q**3 - 39*q**2 - 37*q + 1290. Give g(5). 5 Let l(i) = -4*i**3 + 534*i**2 - 2051*i + 6. Determine l(4). 90 Let a(x) = -x**3 - 182*x**2 - 3075*x + 3631. Determine a(-163). 45 Let t(u) = 80*u**2 - 338*u - 256. Give t(6). 596 Let h(g) = -4*g**3 - 63*g**2 + 221*g + 8. Determine h(3). -4 Let h(r) = -401*r - 1134. What is h(-6)? 1272 Let d(n) = n**2 - 2835*n - 1729117. Determine d(-516). -1 Let u(a) = a**3 + 17*a**2 - 225*a - 376. Determine u(-25). 249 Let k(d) = 49222*d**2 + 393787*d + 14. What is k(-8)? -74 Let x(k) = k**2 - 120*k + 673. Give x(6). -11 Let i(g) = 27*g**2 + 135*g - 11180. What is i(18)? -2 Let a(o) = 3158*o**2 + 12537*o - 378. Determine a(-4). 2 Let j(l) = l**2 + 650*l - 51180. Determine j(71). 11 Let b(o) = -5*o**2 + 98*o - 274. Give b(19). -217 Let m(y) = 581*y - 83659. Calculate m(144). 5 Let h(k) = k**2 + 204*k - 13614. Determine h(-257). 7 Let u(b) = -1106*b - 103794. Give u(-95). 1276 Let s(d) = 221410*d + 664261. What is s(-3)? 31 Let m(v) = -20298*v + 61114. Determine m(3). 220 Let o(g) = 19395*g + 504263. Determine o(-26). -7 Let x(o) = o**3 - 221*o**2 - 1718*o + 27918. Give x(228). 102 Let x(b) = -8110*b - 81149. Calculate x(-10). -49 Let x(y) = -y**2 + 4667*y - 501417. Give x(110). -147 Let m(b) = 2*b**3 + 14*b**2 - 2212*b + 19977. What is m(11)? 1 Let s(g) = g**3 - 153*g**2 - 158*g + 592. Calculate s(154). -24 Let k(f) = -952*f**2 - 66639*f + 63. What is k(-70)? -7 Let m(b) = 13*b**2 + 207*b - 1334. Determine m(5). 26 Let o(x) = 4*x**3 + 232*x**2 + 220*x - 341. Give o(-57). 115 Let q(h) = -h**3 + 1206*h**2 - 290718*h + 7855. Give q(873). -2 Let h(v) = 2537*v + 2555. Determine h(-1). 18 Let d(w) = -51*w**3 + 179*w**2 + 765*w - 23. Determine d(6). -5 Let d(m) = -159*m + 10181. What is d(63)? 164 Let q(c) = 5*c**2 + 1364*c - 32676. Calculate q(23). 1341 Let l(r) = 26*r**2 - 3045*r + 21402. What is l(7)? 1361 Let m(o) = o**3 - 81*o**2 - 2087*o + 6343. Calculate m(101). -424 Let c(o) = -342*o**3 - 5135*o**2 - 64*o + 172. Determine c(-15). 7 Let q(g) = 5*g**3 - 9*g**2 + 15*g - 1. Give q(5). 474 Let c(s) = -s**3 - 27*s**2 + 492*s - 1771. What is c(6)? -7 Let y(s) = s**3 - 3*s**2 - 135*s + 1055. Give y(11). 538 Let b(r) = -r**3 - 9*r**2 + 397*r - 1649. Determine b(5). -14 Let k(q) = 3*q**2 - 327*q + 3736. Calculate k(96). -8 Let s(w) = 51*w**2 + 1180
{ "pile_set_name": "DM Mathematics" }
placement from {f: 2, h: 2, r: 4}. What is prob of sequence rhfr? 1/35 Two letters picked without replacement from {h: 3, x: 2, g: 3}. Give prob of sequence xg. 3/28 Calculate prob of sequence ls when two letters picked without replacement from {l: 2, s: 1, g: 1}. 1/6 Calculate prob of sequence hye when three letters picked without replacement from byeeeeeheeeeey. 5/546 Calculate prob of sequence ic when two letters picked without replacement from lvlvuvulvchvciuvv. 1/136 What is prob of sequence kkkx when four letters picked without replacement from kkkkxkkkkkkkkkkkkk? 1/18 What is prob of sequence kkk when three letters picked without replacement from {k: 12, l: 7}? 220/969 Calculate prob of sequence joi when three letters picked without replacement from llaaxjiaajalljojllji. 1/684 Calculate prob of sequence kfrq when four letters picked without replacement from {r: 2, q: 3, f: 7, k: 3}. 1/260 Calculate prob of sequence tyw when three letters picked without replacement from yeeevtebeeewwe. 1/1092 What is prob of sequence pwp when three letters picked without replacement from wppwwwwpppwwpwwwwpw? 28/323 Two letters picked without replacement from arrarraurnrntrarrtr. Give prob of sequence aa. 2/57 Two letters picked without replacement from fffrrrrffrff. What is prob of sequence fr? 35/132 Two letters picked without replacement from qgy. What is prob of sequence yq? 1/6 What is prob of sequence yuy when three letters picked without replacement from yuyuy? 1/5 What is prob of sequence zzrr when four letters picked without replacement from {j: 4, k: 8, r: 4, z: 3}? 1/1292 What is prob of sequence xo when two letters picked without replacement from {v: 5, x: 5, o: 3}? 5/52 Three letters picked without replacement from szbzxzsxxzxzbzzxz. Give prob of sequence zxz. 7/102 Four letters picked without replacement from qadkdaqddkmp. Give prob of sequence qadm. 2/1485 Two letters picked without replacement from orfogr. What is prob of sequence rg? 1/15 Two letters picked without replacement from {z: 1, g: 4, e: 2, m: 2, c: 1}. Give prob of sequence cm. 1/45 Calculate prob of sequence uuu when three letters picked without replacement from uuu. 1 What is prob of sequence kvh when three letters picked without replacement from {q: 4, e: 9, v: 4, h: 1, k: 1}? 2/2907 Calculate prob of sequence ghgh when four letters picked without replacement from {h: 6, g: 7}. 21/286 Calculate prob of sequence bbqb when four letters picked without replacement from {q: 3, b: 4}. 3/35 What is prob of sequence sj when two letters picked without replacement from {j: 6, s: 2}? 3/14 Two letters picked without replacement from {l: 1, m: 1, r: 3, u: 4, a: 6, s: 1}. Give prob of sequence sl. 1/240 Calculate prob of sequence xbbx when four letters picked without replacement from {b: 8, x: 3}. 7/165 What is prob of sequence bbb when three letters picked without replacement from bbbrbrr? 4/35 Four letters picked without replacement from {x: 1, q: 2, l: 1}. Give prob of sequence lqxl. 0 Calculate prob of sequence ttr when three letters picked without replacement from {r: 4, t: 6}. 1/6 What is prob of sequence pa when two letters picked without replacement from apadpaaadpdad? 3/26 Four letters picked without replacement from {c: 1, u: 5, p: 3, g: 1, j: 4, i: 6}. Give prob of sequence jcui. 1/969 Two letters picked without replacement from {j: 9, d: 3, n: 1, e: 1}. Give prob of sequence jn. 9/182 Calculate prob of sequence rrr when three letters picked without replacement from rxxxxxrrxrrxx. 5/143 Four letters picked without replacement from {g: 2, v: 1, b: 1, n: 1, i: 2}. What is prob of sequence bvin? 1/420 Three letters picked without replacement from {e: 1, j: 1, z: 2, r: 1, i: 1, v: 1}. What is prob of sequence rvj? 1/210 Calculate prob of sequence thp when three letters picked without replacement from {e: 1, h: 1, p: 2, k: 4, t: 3}. 1/165 Three letters picked without replacement from gggngnbgbbn. Give prob of sequence ggb. 2/33 Two letters picked without replacement from {p: 6, y: 3, i: 1, w: 3}. Give prob of sequence iy. 1/52 Three letters picked without replacement from {k: 3, y: 4, m: 7}. What is prob of sequence myy? 1/26 What is prob of sequence ij when two letters picked without replacement from {j: 1, l: 1, i: 1, g: 1, f: 4, w: 4}? 1/132 Two letters picked without replacement from jydedddydyede. Give prob of sequence ej. 1/52 Calculate prob of sequence ts when two letters picked without replacement from {x: 1, t: 4, u: 2, z: 1, s: 5, r: 2}. 2/21 Two letters picked without replacement from {q: 4, i: 1, m: 2, a: 1}. Give prob of sequence am. 1/28 What is prob of sequence tnw when three letters picked without replacement from {r: 1, w: 2, t: 4, d: 2, q: 2, n: 1}? 1/165 Three letters picked without replacement from wwwogwuugwwwcwggww. What is prob of sequence gco? 1/1224 Four letters picked without replacement from {r: 2, j: 5, w: 3}. What is prob of sequence jwjw? 1/42 Two letters picked without replacement from vgvvvvvdvvvvv. Give prob of sequence gd. 1/156 Two letters picked without replacement from {q: 1, h: 1, s: 1}. Give prob of sequence sq. 1/6 Four letters picked without replacement from {a: 6, r: 7}. Give prob of sequence rarr. 21/286 What is prob of sequence ttut when four letters picked without replacement from bttdbbdttddutttbdt? 7/1530 Calculate prob of sequence xxuu when four letters picked without replacement from {u: 4, x: 2}. 1/15 Calculate prob of sequence xr when two letters picked without replacement from {r: 1, x: 1, d: 1}. 1/6 Four letters picked without replacement from zvvnvznn. Give prob of sequence nnnv. 3/280 Calculate prob of sequence kk when two letters picked without replacement from kkkkkkkkakkkkkkakkk. 136/171 Calculate prob of sequence pmm when three letters picked without replacement from mpyymmypymmp. 1/22 Calculate prob of sequence hm when two letters picked without replacement from {h: 1, m: 2}. 1/3 Three letters picked without replacement from eenejjenjqpjjjje. What is prob of sequence jqn? 1/240 Four letters picked without replacement from {i: 7, u: 3}. What is prob of sequence iiuu? 1/20 Calculate prob of sequence hg when two letters picked without replacement from {g: 9, h: 7, n: 3}. 7/38 Two letters picked without replacement from {z: 1, s: 2, k: 2, h: 4, e: 3}. What is prob of sequence zh? 1/33 Two letters picked without replacement from {m: 2, n: 4, q: 1, l: 2, g: 1, o: 5}. What is prob of sequence mo? 1/21 Two letters picked without replacement from kaaaaakaakkaaaaakak. Give prob of sequence ka. 13/57 Two letters picked without replacement from czczccmmmmmz. Give prob of sequence mz. 5/44 What is prob of sequence ann when three letters picked without replacement from {n: 6, a: 4}? 1/6 Calculate prob of sequence kbf when three letters picked without replacement from biifbxbxqqikbk. 1/273 Four letters picked without replacement from dlliwddiiipyi. What is prob of sequence yliw? 1/1716 Calculate prob of sequence wivx when four letters picked without replacement from {i: 2, j: 2, e: 3, v: 10, x: 1, w: 2}. 1/2907 What is prob of sequence ty when two letters picked without replacement from ttyttytttytttttytt? 28/153 What is prob of sequence xa when two letters picked without replacement from akxxakaaaaxaagkagax? 20/171 What is prob of sequence ke when two letters picked without replacement from {k: 3, e: 1, z: 2, g: 10}? 1/80 Four letters picked without replacement from qqoqqqqq. Give prob of sequence oqqq. 1/8 Calculate prob of sequence vv when two letters picked without replacement from avaavvaaaaaa. 1/22 Calculate prob of sequence jm when two letters picked without replacement from cnnmjnnnnnonocj. 1/105 Three letters picked without replacement from ppssksssk. What is prob of sequence psk? 5/126 Three letters picked without replacement from {s: 7, z: 3}. Give prob of sequence szs. 7/40 Calculate prob of sequence jjt when three letters picked without replacement from {o: 5, t: 3, c: 3, j: 6}. 3/136 Four letters picked without replacement from bgggobbob. Give prob of sequence bobo. 1/126 Four letters picked without replacement from ixkxikixilxlxxlklll. Give prob of sequence lixx. 5/646 Two letters picked without replacement from topaom
{ "pile_set_name": "DM Mathematics" }
et t = 665 + z. What is the third smallest value in 0.2, 5, -1, t? t Let g be (-7)/15*-18*18/54. Which is the smallest value? (a) 4 (b) -4 (c) g (d) -2/17 (e) 3/2 b Let w = 1311/4 + -655/2. What is the smallest value in -1/2, -18.2, -1, w, 3/4? -18.2 Let z = -7/642 - 50/321. Which is the fifth biggest value? (a) -0.5 (b) 1/4 (c) 17 (d) -5 (e) z d Let q be (-9)/20*704/528. Let m = -22 - -7. Which is the second biggest value? (a) -3 (b) -0.5 (c) q (d) m c Let z = 0.02474 + -2.02474. Which is the fifth smallest value? (a) -2/15 (b) z (c) 0.7 (d) 4 (e) 0.5 d Suppose 258*i - 83 = -203*i + 2683. What is the biggest value in 302/3, -0.5, i? 302/3 Let y = 0.3174 + 0.1826. Let j = -2 + 2.3. Which is the third smallest value? (a) -57 (b) j (c) y c Let b be 4/22*(1 + -2). Let h = 450895/42 - 21471/2. Let m be (-1 - 0)*2/(-6). What is the fourth biggest value in 2, m, b, h? b Let q = 14.813 - 15. Let t = q + -0.313. What is the second biggest value in 0.5, 3, t, 2/7? 0.5 Let d = 37.43 - -4.37. Let w = 42 - d. What is the fourth biggest value in -2, 0.5, -0.1, w? -2 Let j be 3/((-189)/(-6))*9/(-6). What is the second biggest value in -5, -1/2, j? -1/2 Let i = -6954.6 + 6955. Let m = 25 - 37. Which is the smallest value? (a) 0.2 (b) m (c) 5 (d) i b Let w = 306 + -304. Suppose 3*n = -r + w*r + 3, 6*r + 3*n = -18. Let b = -2/35 - -9/35. What is the second smallest value in r, 1/7, -5, b? r Let j = -150.178 - -150. Let x = j - 0.122. Which is the third smallest value? (a) 2/13 (b) x (c) -5 a Let k = -18308.4 + 18308. Let w = -3 - -3.2. What is the second smallest value in w, 442, k? w Let x = 7018 + -7555. Which is the second biggest value? (a) x (b) -5 (c) -0.3 b Let w = 343.8 + -379. Let a = -35 - w. What is the second smallest value in 2, -3, a? a Let x = 3.7021 - 0.7021. Which is the third smallest value? (a) x (b) 20/29 (c) -22 a Let h = -4142 - -4141.9. What is the third biggest value in -48/871, 0.4, h, 2? -48/871 Let y = 24 - 44. Let p be ((-30)/y)/((-6)/(-16)). Let x be (3/(-9))/(3/(9/p)). Which is the fourth biggest value? (a) 2 (b) x (c) -9 (d) 0.5 c Let t = 34295/9 - 3811. What is the fourth smallest value in 0.4, t, 5/7, -2/3? 5/7 Let o be (-3)/(-6) + (0 - 1). Suppose 201 + 339 = 15*z. Let p be (2/z)/((28/(-16))/7). Which is the third biggest value? (a) o (b) -0.06 (c) p a Let q = 810 - 7280/9. Which is the second biggest value? (a) q (b) -0.1 (c) 11 (d) -4 a Let w = -4563.5 - -4564. What is the biggest value in 1.1, 0.31, w? 1.1 Let i = -3462 - 2242. Let j be (i/(-1424) + -4)*-2. Which is the second biggest value? (a) 1/2 (b) 4 (c) j a Let z = -529.4 - -525.4. What is the third smallest value in z, -1/2, -30, 0? -1/2 Let q be (-31)/(-5) + -6 + 36/20. Let v = 9 - 6. Let k = 1054/35 - 152/5. What is the fourth biggest value in v, k, 2/9, q? k Let i = 13 - 9. Let g = -8809.5 - -8810. What is the second smallest value in 0, i, g? g Let v = 233 + -303. Let x be 1/(10/4) + 58/v. Which is the smallest value? (a) x (b) 0.5 (c) 0.11 a Let t = 3615 + -3615. Which is the biggest value? (a) -55 (b) -1/2 (c) t (d) -5 c Let o = 7156 - 7151. Let j = 4 + -5. Which is the biggest value? (a) j (b) o (c) 31 c Let a = 1 + 1. Let u be ((-3927)/(-9) + 3)/((-290)/(-18)). Let t = -136/5 + u. What is the fourth biggest value in 5, 1, t, a? t Let z = 0.054 - -1.096. Let q = z - 1.05. Let f = -4.7 + -0.3. What is the third smallest value in -4, f, 0.3, q? q Let f be (-115)/(-1) - (-39)/1638*0. What is the smallest value in 4, 2/7, f, 0? 0 Let r be 2 + (-4414)/(-1764)*-3 - -5. Let t = r + 1/147. Which is the second biggest value? (a) -4 (b) t (c) 0.1 (d) 0.8 c Let q = -24 - -28. Let n = 9936820463/2041 + -4868604. Let l = -1/157 + n. What is the third smallest value in q, 1.7, l? q Let v = 0.41 - 0.11. Let h = -1127 - -1126.9. Which is the smallest value? (a) -9 (b) v (c) h a Let v = 55.771 - 58.47. Let y = v - 0.301. What is the smallest value in 1, -7, y? -7 Let d = -11.4 - 0.5. Let r = -8.9 - d. Let v = 0.44 - 0.5. What is the biggest value in -4, r, v? r Let z = -26/145 - 11554/13195. Let c = z - -10/13. What is the smallest value in 0.3, c, -1/5, -1.6? -1.6 Let n = 13255 + -13257. What is the fourth smallest value in -11, 5, 1/5, n? 5 Let u = 129377/13 - 9952. Let a = -26 + 4. What is the second biggest value in a, u, 4, -5? u Let n(j) = -8*j + 29. Let s be n(3). Suppose -4*g + 0*g - 159 = 5*u, -s*g + 4*u = 250. Let l = 1 - 3. Which is the third smallest value? (a) 1 (b) g (c) l a Let p = 5.5 - 8.8. Suppose q = -23 + 24, -r + 1175 = -q. Let x = r + -1174. What is the second biggest value in -5, p, x? p Let n = -29898 - -29897. Let r(h) = -h**3 + 18. Let v be r(0). Let l be 23/v - 4/(-18). What is the third biggest value in n, 4, l? n Let g = -4637 - -4636.6. What is the second smallest value in g, 22/29, 2/7? 2/7 Let n be (-3)/(-1) - (-25)/(-9). Let j be 1246/(-564) + (54/(-12))/(-3). Let q = -2/47 - j. Which is the biggest value? (a) q (b) n (c) 2 c Suppose 4*v - 4*k = 748, 23 = -2*v - 2*k + 385. What is the fourth biggest value in v, -2/17, -2/9, -2/15? -2/9 Let u = -68.355 + 69. Let d = -0.575 + u. What is the smallest value in -4, 1/9, d? -4 Let m = 10 - 14. Let d = -20/119 - 39/476. What is the third smallest value in -2, d, 2, m? d Let b = 1782 - 1781.8. What is the biggest value in 0.07, 2/105, b? b Let j = -20.16 - -25.16. Which is the second biggest value? (a) -3 (b) 16.7 (c) 2 (d) j (e) -0.4 d Let t = 68325 + -751577/11. Let j = 87/124 - -3/62. What is the biggest value in 3/2, j, t? 3/2 Let j = 45 + -41. What is the fourth smallest value in 0.1, 3, j, -329? j Let r(o) = o - 12. Let k be r(10). Let g be 522/(-693) + k/(-11). Let l be 196/210*30/63. Which is the fourth biggest value? (a) 1 (b) g (c) l (d) -5 d Let u = 316.9 - 317. Suppose -3*j = -4*j. Which is the second smallest value? (a) 2/3 (b) j (c) u b Let s = -1.14 - 7.86. Let o be 9/6 - (-481)/(-296). Which is the second smallest value? (a) 4 (b) -4 (c) o (d) s b Let r = 381.662 - 382. Let g = -0.338 - r. What is the third smallest value in 1/4, -0.07, g? 1/4 Let z = 1 + -0.5. Suppose 47*p + 2139 + 3219 = 0. What is the second smallest value in p, 3, z? z Let p = -99.5 - -99.2. What is the third biggest value in p, -5, -1, 0.5, -14? -1 Let o = -2101/4 - -525. What is the third biggest value in o, 4, 2.8, -2.1? o Let i(x) = 239*x - 959. Let r be i(4). Suppose 2*k - 3*k + 4 = -2*t, -t - 16 = -4*k. Suppose t = 4*z - 48 + 20. What is the third smallest value in r, 1, z? z Let u = 0.14 + 2.22. Which is the third biggest value? (a) 2 (b) u (c) 0 c Let u = 0.907 + -0.197. Let b = -2055/11 + 187. What is the second biggest value in b, u, -4? b Let j be (2/(-14))/((-774)/(-903)). Let r = -0.72 + 0.8. Which is the second smallest value? (a) -5 (b) -0.4 (c) r (d) j b Let q = -26711 - -26704. Which is the second biggest value? (a) 19 (b) -5 (c) q (d) 1 (e) 2 e Let v(z) = 178*z + 42. Let w be v(2). Let f = -2770/7 + w. Which is the third smallest value? (a) f (b) 2/13 (c) 4 c Let k = 4808 + -4771. Which is the fourth smallest value? (a) 0.7 (b) k (c) 3 (d) -5 (e) -1 c Let i = 29/6 - 13/3. Let p = 2.95 + -3. Let b = -40655 - -40654. What is the fourth biggest value in i, -2/3, p, b? b Let p = 2446 + -12233/5. Let z be 0*(-4)/(-12) + 12/(-15). What is the second smallest value in p, -42, 4, z? z Let k = -0.34 - 0.06. Let p be -14*2/40*(-7 - 416/(-56)). Which is the third biggest value? (a) 2 (b) p (c) k (d) -1/3 d Let w be (-4)/6*27/(-1080)*-105. What is the smallest value in w, 6, 1, 1/4? w Let n = 439/135 - 77/27. What is the third biggest value in -1, n, -0.5, 8, -0.6? -0.5 Let o = 0.10399 + -0.10399. What is the third smallest value in 40, o, 0.3? 40 Let u = -0.59 - 0.01. Let f = 6.24 - 4.24. Which is the biggest value? (a) u (b) -2/5 (c) f c Let s = -1.9 + 5.6. Let j = 1022 + -1018.8. Let t = j - s. Which is the smallest value? (a) t (b) -2/9 (c) 5 a Let j = 5.6 + -5.6. Let v be (16/14)/((-234)/(-273)). Which is the fourth biggest value? (a) -5 (b) j (c) 2 (d) v a Let d = -11 + 23. Let x = -860 + 860.4. Which is the third biggest value? (a) x (b) d (c) 2/7 c Let r be ((-32)/(-8) - (-1
{ "pile_set_name": "DM Mathematics" }
y -2*(1*sqrt(1700) - sqrt(1700))**2*5*-1 + 0. 0 Simplify ((-2 + sqrt(475))*-5 - (sqrt(95)/(sqrt(10)/sqrt(2)) - (0 + sqrt(76))))**2. -480*sqrt(19) + 11044 Simplify (4*(-4 + ((sqrt(108) - -1*sqrt(108))*4)/sqrt(9)))**2. -2048*sqrt(3) + 12544 Simplify ((sqrt(110) + sqrt(110) + -1*sqrt(110))/sqrt(10) + 1)**2 - (4 + sqrt(11) + 1 + -1)**2. -6*sqrt(11) - 15 Simplify -5*(sqrt(21)/sqrt(3) + sqrt(7) + -1) + (-6*(-3 + (sqrt(14)/sqrt(2) - sqrt(7))))**2. -10*sqrt(7) + 329 Simplify (((-4*sqrt(240)/sqrt(4))/sqrt(5))/((sqrt(120)/sqrt(2))/sqrt(10) + sqrt(6) + -1*(sqrt(6)*1 + sqrt(6)) + sqrt(6)))**2. 32 Simplify 5 + (-3 + sqrt(72) + sqrt(2) - (sqrt(2) + (sqrt(176)/sqrt(8))/sqrt(11))). 2 + 5*sqrt(2) Simplify -6*(sqrt(117)*-2*4)/(sqrt(9) - (sqrt(9) - sqrt(729)*1)). 16*sqrt(13)/3 Simplify -5 + sqrt(17) + -3 + 3 + (sqrt(204) + (sqrt(204)*2 - sqrt(204)))/sqrt(12) + (sqrt(68) + 1)**2. 7*sqrt(17) + 64 Simplify (5*-5*((sqrt(2736) - 1*sqrt(2736)) + 2 - (sqrt(2736) + sqrt(2736)*-1)*-1))**2. 2500 Simplify ((sqrt(459)*-2 - sqrt(459))*3)/(sqrt(3) + (-1*sqrt(75) + sqrt(75) + sqrt(75) - sqrt(3)) + sqrt(243)*2). -27*sqrt(17)/23 Simplify ((sqrt(140) - (sqrt(140) - sqrt(140)*-1*3))/sqrt(5))/((-6*sqrt(40)/sqrt(2))/sqrt(5)). sqrt(7)/2 Simplify -3 + 1*sqrt(170)/(sqrt(110)/sqrt(176)) + -1 + -4. -8 + 4*sqrt(17) Simplify (-5 + 2*((sqrt(700) - (1 + sqrt(700) + 3)) + -4))**2. 441 Simplify (-1*((1 + sqrt(567))*4 - (sqrt(567) - (sqrt(567) + 0 + 2)) - (sqrt(567) - (2*sqrt(567)*4 - sqrt(567)))*-2))**2. -864*sqrt(7) + 36324 Simplify (-1 + sqrt(7) + 0 + sqrt(7) + 5 + 1*sqrt(35)/sqrt(5)*4)**2. 48*sqrt(7) + 268 Simplify ((-2 + sqrt(125) + sqrt(125)*-1 + -4 + 5)*6)**2. 36 Simplify (2*sqrt(162)*-2)**2 + -2 + -3 + -3. 2584 Simplify (5 + -4*(-2 + sqrt(192))*-1)**2. -192*sqrt(3) + 3081 Simplify -3*(-4 + (-1*2*sqrt(6))/((sqrt(2) - sqrt(18) - sqrt(2))*-2)*3). 3*sqrt(3) + 12 Simplify (-3*(0 + (sqrt(128) + -2 - sqrt(128))))**2 - (sqrt(128) + 2)*4*-3. 60 + 96*sqrt(2) Simplify 2*-5*((2*sqrt(66) + sqrt(66))*1)/(2*sqrt(294) - sqrt(6)). -30*sqrt(11)/13 Simplify (-1*-3*sqrt(77)*3)/(sqrt(7) + 2*sqrt(448) + (sqrt(63) - sqrt(63)*1)/sqrt(9)). 9*sqrt(11)/17 Simplify (2*sqrt(98)/sqrt(175))/(sqrt(1008) + 6*sqrt(1008)*-1). -sqrt(2)/150 Simplify (-4*(0 + sqrt(19)) + (1 + sqrt(19) - sqrt(19) - sqrt(19)) + 5 - (1 + 0 + sqrt(76)))**2. -70*sqrt(19) + 956 Simplify (sqrt(88) + sqrt(88)*-1*-1 - sqrt(88))/(sqrt(40)/(sqrt(5) + sqrt(5)*-2)) + 2*(-6*(sqrt(121) + -1*sqrt(121)))/sqrt(11). -sqrt(11) Simplify (((sqrt(91) - -2*sqrt(91)*3)*-4)/(sqrt(7) + sqrt(112)*1 + sqrt(896)/sqrt(8)))**2. 10192/81 Simplify (-5*sqrt(39)/(sqrt(3)*4) - 2*(1 + sqrt(1573)))**2. 93*sqrt(13) + 112501/16 Simplify (-4 + (-2 + 0 + sqrt(288) - sqrt(288)) + -2 + sqrt(288)*1)**2. -192*sqrt(2) + 352 Simplify (-4*(sqrt(931) + -2 + -1 + -3 + sqrt(931) + 1 + sqrt(931))*-5)**2. -84000*sqrt(19) + 3361600 Simplify 4*(-4 + sqrt(110)/(sqrt(10) - sqrt(10)*3*-4))**2. -32*sqrt(11)/13 + 10860/169 Simplify ((2 + sqrt(76) - sqrt(76)) + sqrt(76))*-4*3 - (sqrt(133)/sqrt(7)*-4 + sqrt(19) - (sqrt(684) + -3))**2. -1572 + 30*sqrt(19) Simplify (sqrt(32)/sqrt(200))/(sqrt(392) - sqrt(392)*-2). sqrt(2)/210 Simplify 4*sqrt(448)*2 + -3*(4 + (sqrt(7) - -3*sqrt(7)) + sqrt(7)). -12 + 49*sqrt(7) Simplify (-4 + 3*(-1*sqrt(475) - sqrt(475)) + -5*(-1 + sqrt(475)))**2 + 4. -110*sqrt(19) + 57480 Simplify 3 + (sqrt(8)/sqrt(4)*1*-3)**2 + 2 + 2. 25 Simplify 2 + ((-2*(sqrt(468) + 2) + sqrt(468))**2 + sqrt(468))*-3. -1450 - 162*sqrt(13) Simplify (2 + -4*1*sqrt(300))**2 + 6*(2 + sqrt(300))*-2. -280*sqrt(3) + 4780 Simplify -4 + (1 + (sqrt(2448) - (-2 + sqrt(2448))) + 2)**2 + -4. 17 Simplify (-4*sqrt(55))/sqrt(5)*3 - (-1 + (1*sqrt(11) + -1)**2). -10*sqrt(11) - 11 Simplify 6*6*((sqrt(200)*-1 + sqrt(200))**2 - (-4 + sqrt(2) + 1 + (sqrt(2) - 2*sqrt(2)*5))). 108 + 288*sqrt(2) Simplify (-3 + (sqrt(750)*-2)/(-6*sqrt(486)))**2. -10*sqrt(5)/9 + 6686/729 Simplify ((sqrt(7920)*2 - sqrt(7920)) + sqrt(7920) + sqrt(7920))/sqrt(5) + sqrt(66)/(-5*sqrt(6)*-2) + -5 + 5. 361*sqrt(11)/10 Simplify (-5*(-5 + sqrt(1377) + -4))**2*-3. -109350 + 12150*sqrt(17) Simplify (-1*(2 + 3 + sqrt(1088) + 0) + 2)**2. 48*sqrt(17) + 1097 Simplify (-3*(sqrt(2420) - -1*sqrt(2420)))/(-6*(sqrt(4) - sqrt(12)/sqrt(12))). 22*sqrt(5) Simplify (5*(sqrt(572)/(sqrt(55)/sqrt(5)) + sqrt(832) + 4) + -3)**2. 1700*sqrt(13) + 32789 Simplify 3 + -4*(-1*sqrt(48) + 5)**2. -289 + 160*sqrt(3) Simplify 2*(sqrt(325)*-3 + 0)**2*4*-2. -46800 Simplify -4*(((sqrt(117) - (sqrt(117) + -2)) + sqrt(117))*-4 - ((sqrt(117) + 1 - sqrt(117)) + -3)**2)*4. 192 + 192*sqrt(13) Simplify -5 + (-1*6*6*6*sqrt(18)*3)**2. 7558267 Simplify (sqrt(5) - sqrt(15)/sqrt(3))*-5 + (sqrt(45))**2*-6 + 5 + sqrt(55)/(-6*(sqrt(11) - sqrt(33)/sqrt(3)) + sqrt(11)) + 1. -264 + sqrt(5) Simplify (-2*(sqrt(132) - (sqrt(132) + sqrt(132) + sqrt(132)*-1)))/(sqrt(88)/((sqrt(32) - sqrt(8)) + sqrt(8)) + sqrt(11)) + -2 + -2. -4 Simplify (2 + 5*(2 + sqrt(720) + sqrt(720)*3 + 0))**2. 5760*sqrt(5) + 288144 Simplify 0 + 4 + (sqrt(2)*-1 - sqrt(2)) + 5*sqrt(242)*2 + -3. 1 + 108*sqrt(2) Simplify (sqrt(484)/(sqrt(528)/sqrt(3)))/(-2*(-1*sqrt(4)*-5 - sqrt(4))). -sqrt(11)/32 Simplify (sqrt(3648) + (sqrt(3648) - (sqrt(3648) - sqrt(3648)*1)) - sqrt(3648))/(sqrt(24)/sqrt(8)*5). 8*sqrt(19)/5 Simplify 5*(1*-1*sqrt(95) - (sqrt(95) - ((sqrt(95) + (sqrt(95) - sqrt(95)*2) - sqrt(95))*-5 + sqrt(95))))/(5*sqrt(35)/(-1*sqrt(7))). -4*sqrt(19) Simplify (-2 + sqrt(13)*1 + sqrt(832) + 2 + -3*sqrt(130)/(-1*sqrt(10) - sqrt(10))*2)**2. 1872 Simplify (sqrt(1573) + -1*(-1*sqrt(1573) + sqrt(1573)) + (sqrt(1573) - (sqrt(1573) + 1 + 4)) + 4)**2. -22*sqrt(13) + 1574 Simplify ((sqrt(2106) + ((1*sqrt(2106) - sqrt(2106)) + sqrt(2106))*3)/(sqrt(128) - -2*(sqrt(128) + -3*sqrt(128))))**2. 117/4 Simplify -1 + (sqrt(1008) - (sqrt(1008) + -5*(sqrt(1008) + -2)))*-1. -60*sqrt(7) + 9 Simplify (sqrt(64)/(sqrt(20)/sqrt(5)))/(sqrt(648)*-2 - sqrt(648)). -sqrt(2)/27 Simplify (((sqrt(56) - sqrt(1400))*2)/(sqrt(72)/sqrt(81)))**2. 4032 Simplify sqrt(6)/sqrt(48) + sqrt(2) + -5 - (sqrt(192)/sqrt(6) - (sqrt(288) - sqrt(32))). -5 + 21*sqrt(2)/4 Simplify sqrt(112)*-1 + (sqrt(7)*2 - sqrt(7))*-6 - (sqrt(49)*-2*4)/(sqrt(7)*-2*5). -54*sqrt(7)/5 Simplify ((sqrt(51)/sqrt(3) + -2 - 1*sqrt(612)) + -1*(1 + (sqrt(17) + 0 + sqrt(17) - sqrt(17))))**2*6. 216*sqrt(17) + 3726 Simplify ((sqrt(3744) - (sqrt(3744) + -6*sqrt(3744)*2 + sqrt(3744)))/(sqrt(200) + -2*sqrt(200)*1))**2. 56628/25 Simplify (((sqrt(175) - ((sqrt(175) - (sqrt(175) + -2)) + -3)) + 3 + (sqrt(7) + (2*sqrt(7) + -4 - sqrt(7) - sqrt(7)) - sqrt(7)))*4)**2. 2800 Simplify ((-1*2*sqrt(119) - sqrt(119))/((-2*sqrt(77))/sqrt(11)))**2 + 2. 161/4 Simplify -4 + ((sqrt(77) - sqrt(77)*-2*3)/(sqrt(56)/(sqrt(8) - sqrt(32))))**2. 535 Simplify (-3*sqrt(98)*3)**2 - -5*(sqrt(98) + 2). 35*sqrt(2) + 7948 Simplify (-2 + (4 + sqrt(637) + -1)*-6)**2. 1680*sqrt(13) + 23332 Simplify (sqrt(3) + 0 + sqrt(3))*4 + (3*sqrt(3) + sqrt(3) + -4)**2 - (sqrt(15) + -2*sqrt(2160))/(1*sqrt(180)). -121*sqrt(3)/6 + 64 Simplify ((1*sqrt(136)*-3 + sqrt(136))/((sqrt(10) + sqrt(40)/sqrt(4))/sqrt(5) - sqrt(96)/sqrt(3)))**2. 68 Simplify (sqrt(189)/(sqrt(21)/sqrt(3)))/(-6*sqrt(9)*-2). sqrt(3)/12 Simplify -1*5*(sqrt(275) + sqrt(275) + -1*sqrt(275) + -5 - (0 + -1*sqrt(275))). -50*sqrt(11) + 25 Simplify -1 + -2*sqrt(7) - (sqrt(70)/(sqrt(40)/sqrt(4)) + sqrt(7))**2 - (sqrt(7) + -1*(sqrt(7) + 2) + 2). -29 - 2*sqrt(7) Simplify ((-2*sqrt(2240))/((sqrt(320) - sqrt(320)*-2) + sqrt(320)) - (-6*sqrt(378))/(sqrt(54)*2))**2. 175/4 Simplify (sqrt(2057) - (sqrt(2057) + -5 + 4))**2 - ((sqrt(2057) - (sqrt(2057) + 1 + 0))**2 - sqrt(2057)). 11*sqrt(17) Simplify 0 + 0 + (sqrt(300) + (sqrt(300) - ((sqrt(300)*-1 - sqrt(300)) + 0)) - (sqrt(300) + -3*(sqrt(300) - sqrt(300)*1))). 30*sqrt(3) Simplify (((sqrt(209) + sqrt(209) + sqrt(209) + sqrt(209) + (sqrt(209) - sqrt(209)*-1) - sqrt(209))*-5*5)/(sqrt(77)/(sqrt(700)*4)))**2. 475000000 Simplify 5 + (-1*(2*sqrt(200) + 4 + -1))**2. 120*sqrt(2) + 814 Simplify 2 + 4*(3*(sqrt(3) - (sqrt(3) - (-1 + sqrt(243)))))**2 + 3. -648*sqrt(3) + 8789 Simplify (1*(2 + ((sqrt(50) - sqrt(2))*2 - (-3 + sqrt(2)*2))))**2. 60*sqrt(2) + 97 Simplify (sqrt(77) - -3*-1*sqrt(77))/(sqrt(11)*1*-6 + sqrt(11)) + -2. -2 + 2*sqrt(7)/5 Simplify 2 + ((-2 + sqrt(288)*1)*-5 + sqrt(
{ "pile_set_name": "DM Mathematics" }
h that l**4/2 - 20112113*l**3 = 0. 0, 40224226 Suppose -3*q**4 + 17226*q**3 - 24916608*q**2 + 541500960*q - 2355724800 = 0. What is q? 6, 16, 2860 What is i in -7442*i**4 - 27067042*i**3 + 52388012*i**2 + 3522568*i + 58224 = 0? -3639, -2/61, 2 Suppose -225*x**2 + 180510*x - 36204289 = 0. What is x? 6017/15 Factor -3*x**2/8 + 38109*x/8 - 24623409/2. -3*(x - 9092)*(x - 3611)/8 Factor -2*m**2/11 + 28406*m/11 + 6697840/11. -2*(m - 14435)*(m + 232)/11 Let -4*m**3 - 27599488*m**2 - 27599484*m = 0. Calculate m. -6899871, -1, 0 Let z**4/9 + 1274*z**3/9 + 417*z**2 - 76160*z/9 + 127100/9 = 0. Calculate z. -1271, -10, 2, 5 Solve -4*s**3 - 12436*s**2 - 1559408*s + 3168592 = 0. -2978, -133, 2 Find v such that 4*v**4 + 39800*v**3 + 158972*v**2 - 1631000*v + 1432224 = 0. -9946, -9, 1, 4 Find f, given that -21*f**4 + 2034*f**3 + 182319*f**2 + 381744*f + 50820 = 0. -55, -2, -1/7, 154 Determine r, given that 3*r**4/2 + 16107*r**3/2 + 168519*r**2 + 304836*r = 0. -5348, -19, -2, 0 Factor u**3/4 + 685*u**2/2 + 78009*u/4 + 216315. (u + 15)*(u + 44)*(u + 1311)/4 Solve 4*x**3 + 291816*x**2 + 5322577920*x + 10643988608 = 0. -36476, -2 Determine a so that -196*a**5 - 23907*a**4 + 148786*a**3 - 303268*a**2 + 208344*a - 5120 = 0. -128, 5/196, 2 Determine k so that 2*k**5/3 - 1379830*k**4/3 + 237990663694*k**3/3 + 237993423358*k**2/3 - 79330221232*k - 79330681176 = 0. -1, 1, 344958 Factor 5*s**3 + 259115*s**2 + 9062900*s. 5*s*(s + 35)*(s + 51788) Solve -v**5 - 24*v**4 + 973*v**3 - 1816*v**2 - 972*v + 1840 = 0 for v. -46, -1, 1, 2, 20 Determine k so that 4*k**5 - 5036736*k**4 - 5036760*k**3 + 25183712*k**2 - 15110220*k = 0. -3, 0, 1, 1259185 Factor 4*h**3/5 - 30092*h**2/5 - 210816*h/5 - 36144. 4*(h - 7530)*(h + 1)*(h + 6)/5 Let -2*f**2/3 + 44414596*f/3 - 246582042230402/3 = 0. What is f? 11103649 Factor -2*g**3/15 - 202474*g**2/15 - 5122946192*g/15 + 5125983752. -2*(g - 15)*(g + 50626)**2/15 Suppose -16*m**5 - 7940*m**4 - 85788*m**3 - 186336*m**2 = 0. What is m? -1941/4, -8, -3, 0 Find t such that -10*t**5 + 1785*t**4 - 33555*t**3 - 1337975*t**2 - 6172875*t - 2756250 = 0. -15, -5, -1/2, 49, 150 Let -2*z**4 - 974*z**3 - 83832*z**2 - 539784*z = 0. What is z? -378, -102, -7, 0 Solve r**5/8 - 5399*r**4/8 + 566748*r**3 + 2009702421*r**2/2 = 0 for r. -829, 0, 3114 Factor 4*v**3 - 10577068*v**2 + 21154120*v. 4*v*(v - 2644265)*(v - 2) Let 3*d**2 - 1047117*d + 54441972 = 0. What is d? 52, 348987 Factor -6*a**2/5 - 66762*a/5 - 465864. -6*(a + 35)*(a + 11092)/5 Factor -761*c**2/5 - 3026*c/5 + 72/5. -(c + 4)*(761*c - 18)/5 Let 5*c**5/4 - 607*c**4/4 + 20977*c**3/4 - 51389*c**2/4 - 2759601*c/2 + 553644 = 0. What is c? -13, 2/5, 39, 56 Suppose -2*u**5/13 - 2242*u**4/13 - 1544*u**3 - 62344*u**2/13 - 80096*u/13 - 35584/13 = 0. Calculate u. -1112, -4, -2, -1 Solve -30*k**4 + 93*k**3 + 138*k**2 - 93*k - 108 = 0 for k. -1, -9/10, 1, 4 Factor -4*a**2 - 840960*a - 71452700. -4*(a + 85)*(a + 210155) Solve 2*g**4/21 + 80*g**3/21 - 134*g**2 - 15580*g/21 - 12688/21 = 0 for g. -61, -4, -1, 26 Find k such that 3*k**4 - 665166*k**3 - 37258704*k**2 = 0. -56, 0, 221778 Let -2*i**2/9 + 251354996*i/9 - 7897416751770002/9 = 0. What is i? 62838749 Factor -a**2/4 + 4929*a/2 + 2289295/4. -(a - 10085)*(a + 227)/4 Factor 4*d**2/3 + 70127444*d/3 + 70127440/3. 4*(d + 1)*(d + 17531860)/3 Determine q, given that 3*q**5/2 + 470505*q**4/4 - 18120411*q**3/4 + 229472139*q**2/4 - 914882007*q/4 - 129275874 = 0. -78456, -1/2, 13 Factor z**2/4 + 6193*z/4 + 1855750. (z + 1625)*(z + 4568)/4 Let 575*k**5/3 - 5605*k**4/3 + 5880*k**3 - 6000*k**2 = 0. Calculate k. 0, 12/5, 3, 100/23 Find h, given that 5*h**4 - 2020*h**3 + 193380*h**2 + 830880*h - 2419200 = 0. -6, 2, 168, 240 What is h in -2*h**4/5 - 2426*h**3/5 - 31050*h**2 + 653018*h/5 + 26304772 = 0? -1145, -47, 26 Suppose -2*f**3/9 - 9814*f**2 - 19595884*f/9 + 19860880/3 = 0. What is f? -43940, -226, 3 Factor 3*p**4 + 6459402*p**3 + 4635981715680*p**2 + 1109093721715195392*p - 2218205987408928768. 3*(p - 2)*(p + 717712)**3 Find h, given that -3*h**3/4 + 22105401*h**2/2 - 162883006211835*h/4 + 162882829368675 = 0. 4, 7368465 Find q such that 643428075*q**3/8 + 19946182455*q**2/8 - 2723967*q/8 + 93/8 = 0. -31, 1/14645 Determine z, given that 4*z**5/7 + 416*z**4/7 - 111900*z**3/7 - 7339480*z**2/7 + 15012976*z/7 - 1080288 = 0. -198, -62, 1, 154 Suppose 3*l**3 + 6302673*l**2 - 37816146*l = 0. What is l? -2100897, 0, 6 Determine c so that 2*c**5/5 - 5774*c**4/5 - 6457506*c**3/5 + 12932326*c**2/5 - 6469048*c/5 = 0. -863, 0, 1, 3748 Solve d**3 + 436*d**2 + 46003*d = 0 for d. -257, -179, 0 Let 2*o**4/17 - 1256*o**3/17 + 10906*o**2/17 + 1648844*o/17 - 1658496/17 = 0. What is o? -32, 1, 42, 617 What is f in -20*f**5 - 427395*f**4 + 8235065*f**3 + 6416700*f**2 = 0? -21389, -3/4, 0, 20 Factor -n**3 - 2378*n**2 + 4984*n + 533120. -(n - 16)*(n + 14)*(n + 2380) Factor -2*z**4/5 - 4088096*z**3/5 - 36792756*z**2/5 - 22075632*z - 110378106/5. -2*(z + 3)**3*(z + 2044039)/5 Find c such that -60*c**5 + 69472*c**4 - 195036*c**3 - 4179240*c**2 - 7483600*c - 924000 = 0. -5, -2, -2/15, 10, 1155 Determine v, given that -3*v**2/2 - 291730407*v - 28368876789461883/2 = 0. -97243469 Factor 3*p**4/5 - 11393346*p**3 - 170900208*p**2/5 - 170900214*p/5 - 56966739/5. 3*(p - 18988913)*(p + 1)**3/5 Factor 2*n**2 + 133222*n + 666060. 2*(n + 5)*(n + 66606) Find q such that 5*q**4 + 500*q**3 - 10180*q**2 - 514800*q = 0. -110, -26, 0, 36 Suppose -8*h**2/5 - 2189994*h/5 + 1642518 = 0. What is h? -273753, 15/4 What is d in -2*d**3/9 + 195032*d**2/9 + 195034*d/9 = 0? -1, 0, 97517 Determine w so that -2*w**5 - 574826*w**4 - 2874082*w**3 - 574774*w**2 + 12071172*w + 10346688 = 0. -287408, -3, -1, 2 Solve -i**3/5 - 15477*i**2/5 + 154846*i/5 - 371688/5 = 0. -15487, 4, 6 Factor -2*p**2 - 66246*p + 2055548. -2*(p - 31)*(p + 33154) Solve 2*y**3 - 8554*y**2 - 20564914*y - 10123376358 = 0. -911, 6099 Suppose 5*v**5 - 1065*v**4 - 12390*v**3 + 15560*v**2 + 26880*v = 0. What is v? -12, -1, 0, 2, 224 Let -3*r**4 + 7173*r**3 + 1778673*r**2 + 122382855*r + 1908625950 = 0. Calculate r. -105, -22, 2623 Suppose -2*c**3/11 + 28110*c**2/11 - 47262592*c/11 - 94637640/11 = 0. What is c? -2, 1955, 12102 Factor w**2/5 - 87993*w/5 - 968044/5. (w - 88004)*(w + 11)/5 Let -2*r**2/7 - 22846*r/7 - 1611984/7 = 0. Calculate r. -11352, -71 Determine f so that 3*f**2/4 - 4400871*f/2 + 6455888519547/4 = 0. 1466957 Factor 5*y**4 + 45270*y**3 + 107542445*y**2 + 22969092600*y + 1287172322000. 5*(y + 115)**2*(y + 4412)**2 Factor -5*l**2/6 + 125862934*l/3 + 50345174/3. -(l - 50345174)*(5*l + 2)/6 Factor v**3/2 + 2902*v**2 + 28978*v + 46352. (v + 2)*(v + 8)*(v + 5794)/2 Factor 277729*k**2/5 + 2479008*k/5 + 5531904/5. (527*k + 2352)**2/5 Find k, given that 4*k**3/3 - 19612*k**2/3 - 3594140*k - 469307100 = 0. -255, 5413 Suppose y**5 - 494*y**4 + 20608*y**3 = 0. Calculate y. 0, 46, 448 Determine b, given that -3*b**4/4 - 13797*b**3/4 - 5083149*b**2 - 2346039045*b + 2351125644 = 0. -1834, -932, 1 Factor -7*v**2 + 171807*v/2 + 184095/2. -(v - 12273)*(14*v + 15)/2 Let 4*a**2 - 20376*a - 5635564 = 0. What is a? -263, 5357 Factor -m**4/6 - 112*m**3/3 - 70*m**2 + 888*m. -m*(m - 4)*(m + 6)*(m + 222)/6 Factor g**2 + 2997201*g - 8991612. (g - 3)*(g + 2997204) Solve 4*z**3 + 106956*z**2 + 33498528*z + 2638495088 = 0. -26423, -158 What is v in 3*v**5 + 1194*v**4 + 10473*v**3 - 11670*v**2 = 0? -389, -10, 0, 1 Solve 3*v**2 - 5455458*v + 2480168499147 = 0 for v. 909243 What is w in -w**2 - 1068604*w + 6411660 = 0? -1068610, 6 Suppose -2*d**2/3 - 34058*d - 817264/3 = 0. What is d? -51079, -8 Suppose 2*r**2 + 11093192*r + 15382363593608 = 0. What is r? -2773298 Find d, given that -3*d**3 + 1023*d**2 - 106308*d + 3077568 = 0. 48, 137, 156 Determine q, given that -5*q**3 - 29180*q**2 - 38785980*q + 77688720 = 0. -3786, -2052, 2 Determine s, given that -s**3/9 + 119*s**2/9 + 1042*s/3 - 31416 = 0. -51, 44, 126 Solve -5*q**2 + 101200*q - 29811795 = 0. 299, 19941 Solve 5*s**2/4 + 1691361*s/2 + 338272 = 0. -676544, -2/5 Determine h, given that 32*h**5/17 + 1808*h**4/17 + 322*h**3/17 - 33512*h**2/17 - 4554*h - 45360/17 = 0. -56, -9/4, -1, 5 Determine l so that -18*l**4 + 25932*l**3 + 5659462*l**2 - 10804498648*l - 3124710006728 = 0. -379, 3298/3 Find y such that -1915805*y**5/2 + 1
{ "pile_set_name": "DM Mathematics" }
h(o) be the first derivative of 15/2*o**2 + 25/3*o**3 + 5/4*o**4 - 5 - 45*o. Factor h(d). 5*(d - 1)*(d + 3)**2 Let j(z) be the third derivative of -z**7/560 - 31*z**6/480 - z**5/8 - 7*z**4/8 - 4*z**2 - 12. Let k(d) be the second derivative of j(d). Factor k(f). -3*(f + 10)*(3*f + 1)/2 Let u = 6931 - 6929. Let n(m) be the first derivative of 4/7*m - 27 - 6/7*m**3 - m**u. Suppose n(a) = 0. Calculate a. -1, 2/9 Let b be (-169)/(-156) - 1/12. Let s(o) = -10*o**4 + 52*o**3 - 180*o**2 - 106*o + 1000. Let x(j) = j**4 + j. Let l(y) = b*s(y) + 6*x(y). Solve l(g) = 0 for g. -2, 5 Find y, given that 2/3*y**4 - 8/3*y**3 - 58/3*y**2 - 16*y + 0 = 0. -3, -1, 0, 8 Suppose 2013 = -9*y + 5*y - j, -4*y = -5*j + 1983. Let v = y + 504. Let 4/7*u**v + 0 - 6/7*u + 8/7*u**3 - 4/7*u**4 - 2/7*u**5 = 0. Calculate u. -3, -1, 0, 1 Factor -203 - 116 - 110*w**2 - 183*w + 319 + 292*w**2 + w**3. w*(w - 1)*(w + 183) Let w = 129 + -117. Suppose w*s - 13*s + 41 = 0. Solve 19*z**2 - 25 + 10*z + 21*z**2 - s*z**2 = 0 for z. 5 Suppose 111*c**2 + 1112 - 1448 + 67*c**2 + 74*c**2 - 12*c - 3*c**4 - 75*c**3 = 0. Calculate c. -28, -1, 2 Let l(i) be the third derivative of -i**8/840 + 13*i**7/105 - 21*i**6/50 - i**5/75 + 127*i**4/60 - 21*i**3/5 - 401*i**2 + 2*i. Find m, given that l(m) = 0. -1, 1, 63 Let a(y) be the second derivative of y**8/448 - y**7/72 - y**6/24 - 13*y**4/12 + 5*y - 4. Let k(v) be the third derivative of a(v). Factor k(p). 5*p*(p - 3)*(3*p + 2) Let g(d) = 20*d**3 + 800*d**2 - 830*d - 5. Let p(f) = 11*f**3 + 401*f**2 - 418*f - 3. Let b(c) = 3*g(c) - 5*p(c). Factor b(r). 5*r*(r - 1)*(r + 80) Let z be ((11 - 6) + -4)*(102 - 0). Let p = z - 18. Solve 36*j**2 + p - 20 - 4*j**3 - 108*j + 44 = 0 for j. 3 Let a = -72116 + 72119. Find w such that -1/2*w**2 + 5/2*w + a = 0. -1, 6 Let q(d) = d**2 + 18*d + 39. Let s be q(-21). Determine k so that -2*k**5 - 540*k**3 + 332*k**4 - 62*k + 24 + 588*k**2 - s*k - 160*k**2 - 78*k**5 = 0. 2/5, 3/4, 1 Let v be (-24)/(-32)*4 - (-36)/(-1). Let n = -30 - v. Factor 12*t**2 - 6*t**4 + t**5 + 12*t + 7 + 2*t**5 - 9*t**n - 7. 3*t*(t - 2)**2*(t + 1)**2 Let v(a) be the second derivative of -1/360*a**6 - 25*a - 1/24*a**4 - 1/45*a**5 - 13*a**2 + 0 + 0*a**3. Let b(f) be the first derivative of v(f). Factor b(u). -u*(u + 1)*(u + 3)/3 Let t(u) be the second derivative of u**6/1980 - u**5/220 - u**4/33 - 29*u**3/6 - 7*u + 4. Let z(l) be the second derivative of t(l). Factor z(n). 2*(n - 4)*(n + 1)/11 Let a(z) be the first derivative of -z**7/1400 - z**6/600 + z**5/100 - 26*z**3 - 83. Let q(r) be the third derivative of a(r). Factor q(k). -3*k*(k - 1)*(k + 2)/5 Suppose 3*q + 4*r = -5, -7*q - 4*r = -12*q + 45. Let p = -293 - -2057/7. Solve 8/7*w**3 + 0*w**4 - 2/7*w**q - p*w - 4/7 + 4/7*w**2 = 0. -1, 1, 2 Let h = 2294003/5 - 458787. Factor -h - 64/5*q + 4/5*q**2. 4*(q - 17)*(q + 1)/5 Factor -135/4*w + w**2 - 17/2. (w - 34)*(4*w + 1)/4 Let w(j) be the first derivative of -3*j**5/5 + 1035*j**4/2 - 2064*j**3 + 3093*j**2 - 2061*j - 5354. Determine z so that w(z) = 0. 1, 687 Let a = 246047/92271 + 3/30757. Factor -a - 9*m + 79/6*m**2 - 3/2*m**3. -(m - 8)*(m - 1)*(9*m + 2)/6 Let j be (-45)/(-30) + (-2)/(-4). Suppose 4*i - 7 - 1 = 0. Factor 4*g - 36*g**2 - i + 71*g**j - 37*g**2. -2*(g - 1)**2 Let r be (6/9)/(1518/2070). Solve -32/11*p + r + 6/11*p**2 = 0. 1/3, 5 Let a(q) be the first derivative of 27/14*q**2 + 55 - 27/28*q**4 + 2/7*q**3 - 6/7*q. Factor a(m). -3*(m - 1)*(m + 1)*(9*m - 2)/7 Let j(f) be the second derivative of -f**4/6 + 1546*f**3/3 + 2*f - 3873. Determine i, given that j(i) = 0. 0, 1546 Let t(o) be the second derivative of -o**7/6 - 569*o**6/90 - 1719*o**5/20 - 1755*o**4/4 - 81*o**3 - 1306*o. Factor t(d). -d*(d + 9)**3*(21*d + 2)/3 Suppose -12 = -g - 19*g + 16*g. Factor 0*k - 1/5*k**g + 1/5*k**2 + 0. -k**2*(k - 1)/5 Suppose 1637 = 121*y - 178. Let s(z) be the third derivative of 1/24*z**4 + 0*z**3 + 0*z + y*z**2 + 1/120*z**5 + 0. Let s(f) = 0. What is f? -2, 0 Let a(b) = -b**3 - b**2 + 3*b. Let i(f) = 2*f**4 + 10*f**3 + 8*f**2 - 12*f. Let t(n) = -4*a(n) - i(n). Factor t(s). -2*s**2*(s + 1)*(s + 2) Let a(v) be the third derivative of -1/300*v**6 + 0*v + 0 - 169*v**2 - 1/525*v**7 - 2/15*v**3 + 1/60*v**4 + 1/50*v**5. Find h such that a(h) = 0. -2, -1, 1 Let g(n) = 15*n + 23*n - 44*n - 2. Let a be g(-3). Find i such that -a + 33*i**3 + 66*i**3 - 12*i**4 - 132*i**2 - 23*i**3 + 84*i = 0. 1/3, 1, 4 Let f = 6906 - 6783. Let c(m) = -m. Let a be c(-2). Suppose 12*s**a - 3*s**4 + f*s - 123*s - 9*s**3 = 0. What is s? -4, 0, 1 Let c = 479100 - 479098. Factor 20/3*y**5 - 176/3*y**4 - 144*y**c + 0 - 36*y + 168*y**3. 4*y*(y - 3)**3*(5*y + 1)/3 Let y(p) be the first derivative of -2*p**5/15 + 16*p**4 - 6128*p**3/9 + 12160*p**2 - 288800*p/3 + 453. Factor y(l). -2*(l - 38)**2*(l - 10)**2/3 Let j(u) = 12*u + u**2 + 6*u + 3 - 28. Let o(y) = 2*y**2 + 18*y - 24. Let b(a) = -4*j(a) + 3*o(a). Factor b(l). 2*(l - 7)*(l - 2) Let s = 84064/3603 - -2/1201. Let g(l) be the second derivative of 11/3*l**4 + 0 + 1/5*l**5 + 50*l**2 + s*l**3 - 23*l. Find v, given that g(v) = 0. -5, -1 Suppose 64 = -20*b - 76. Let a(f) = 9*f**3 - 3*f**2 - 3*f - 3. Let p(l) = -11*l**3 + 2*l**2 + 2*l + 3. Let d(n) = b*a(n) - 6*p(n). Find g such that d(g) = 0. -1 Suppose 1495*s - 1498*s = 5*n - 33, 5*s - 39 = -3*n. Determine w so that -4*w + w**2 + 1/2*w**n + 0 = 0. -4, 0, 2 Let n(k) = -54*k + 432. Let j be (20 - 10) + (2/2 - 3). Let r be n(j). Factor 1/5*h**3 + 0*h + 2/5*h**2 - 1/5*h**4 + r. -h**2*(h - 2)*(h + 1)/5 Let r = -73 - -69. Let k be (60/(-21))/r + 3/7. Factor k + 0*o - 2/7*o**2. -2*(o - 2)*(o + 2)/7 Let x = -47192/11 + 4287. Let b = x - -127/33. Factor -2/3 + 2/9*l + b*l**2 - 2/9*l**3. -2*(l - 3)*(l - 1)*(l + 1)/9 Suppose 26 = 4*u - 34. Factor 840 + 35*t**2 + u*t**4 + 10*t - 840 + 40*t**3. 5*t*(t + 1)**2*(3*t + 2) Let c(d) be the second derivative of -d**6/105 - d**5/10 + 79*d**4/14 - 449*d**3/21 + 220*d**2/7 + 9957*d. Suppose c(n) = 0. What is n? -20, 1, 11 Factor -28/5 - 12/5*c**2 + 2/15*c**3 - 122/15*c. 2*(c - 21)*(c + 1)*(c + 2)/15 Let z(d) be the second derivative of -d**3/3 - 31*d**2 + 2*d - 300. Let i be z(-32). Factor 3/2*s**i + 2 - 13/2*s. (s - 4)*(3*s - 1)/2 Let b(t) be the first derivative of t**5/180 + t**4/72 - t**3/9 - 25*t**2/2 - 43. Let q(w) be the second derivative of b(w). Factor q(n). (n - 1)*(n + 2)/3 Let h(s) be the second derivative of s**6/6 + 7*s**5 - 5*s**4/4 - 215*s**3/3 - 140*s**2 + 115*s - 5. What is z in h(z) = 0? -28, -1, 2 Let q(x) be the first derivative of x**3/6 + 581*x**2/2 + 337561*x/2 - 718. Factor q(b). (b + 581)**2/2 Find a, given that 760437500/7*a - 1983750/7*a**2 + 2300/7*a**3 - 1/7*a**4 - 109312890625/7 = 0. 575 Let u = 27905 - 251141/9. Let g(l) be the second derivative of 0 + 1/9*l**4 + 36*l + u*l**3 - 2*l**2. Factor g(y). 4*(y - 1)*(y + 3)/3 Let v be (-42)/((-7560)/225)*4. Let 6/5*k**3 + 1/5*k + 0 - 4/5*k**2 + 1/5*k**v - 4/5*k**4 = 0. What is k? 0, 1 Let p(o) = 9*o - 4*o**2 - o + 3*o**2. Let w(b) = 6*b - 14*b**2 + 9*b**2 + 3*b**2 + 14*b. Let g(c) = 12*p(c) - 5*w(c). Factor g(h). -2*h*(h + 2) Let q(k) be the second derivative of -4 + 1/10*k**4 + 1/225*k**6 - 7/45*k**3 + 7/150*k**5 - 5*k - 2/3*k**2. Determine o so that q(o) = 0. -5, -2, -1, 1 Let s = 637 + -635. Let x be 204/84 - s - (-3)/91. Factor 42/13*i - 18/13 - 12/13*i**3 + 2/13*i**5 - 20/13*i**2 + x*i**4. 2*(i - 1)**3*(i + 3)**2/13 Suppose a - 6*a = 2*p + 17, 0 = -5*a + 5*p - 10. Let t be (969/(-38))/((a/8)/1). Factor 3 - 3 + 9*d**2 + t*d**3 - 6*d - 53*d**3. 3*d*(d + 1)*(5*d - 2) Let n(l) be the third derivative of -124*l**2 + 1/75*l**5 + 0*l**3 + 1/300*l**6 + 0 + 1/60*l**4 + 0*l. Factor n(h). 2*h*(h + 1)**2/5 Let t(p) be the third derivative of -11/25*p**5 - 512/15*p**3 + 2*p**2 + 134 + 1/150*p**6 + 0*p + 48/5*p**4. Factor t(k). 4*(k - 16)**2*(k - 1)/5 Let t(j) be the first derivative of -19*j - 21 - 1/6*j**4 + 0*j**2 + 1/9*j**3 - 1/45*j**6 + 1/10*j**5. Let h(s) be the first derivative of t(s). Factor h(r). -2*r*(r - 1)**3/3 Suppose -259*g = -282*g - 39629. Let k = g - -1725. Factor 2/5*y**2 - 12/5*y + k. 2*(y - 5)*(y - 1)/5 Let t(y) be the second derivative of 0 - 1/60*y**5 + 1/180*y**6 - 109*y + 1/12*y**2 - 1/36*y**4 + 1/252*y**7 + 1/36*y**3. Factor t(a). (a - 1)**2*(a + 1)**3/6 Suppose -
{ "pile_set_name": "DM Mathematics" }
-2*k**3 + 17*k**2 - 12*k + 37. Suppose -47 + 39 = -w. Let c be q(w). Let d(o) = o**3 - 6*o**2 + 6*o - 7. What is d(c)? -2 Let f(p) be the second derivative of -p**4/12 + 23*p**3/6 - 34*p**2 + 6*p - 518. Give f(4). 8 Let y(b) be the first derivative of b**4 + b**3/3 - b - 2500. Determine y(1). 4 Let s(m) = -7*m + 7*m - 5 + m**2 + 1 - 13*m. Let q be s(13). Let u(f) = 0 - 4*f + 276*f**2 - 277*f**2 - 1. Calculate u(q). -1 Let r(z) be the first derivative of z**3/6 - 3*z**2/2 + 266*z - 126. Let o(d) be the first derivative of r(d). Calculate o(2). -1 Let j(y) = -y - 2*y - 3 + 836628*y**2 - 836630*y**2 + 6*y + 0*y. Let g be (-16)/(-10) - 16/(-40). Determine j(g). -5 Let l(c) = c**2 + 94*c + 25 - 29*c - 29*c - 48*c. What is l(10)? 5 Let m(l) = l**3 + 72*l**2 + 458*l + 29. Let b be m(-7). Let a(c) = -7*c**2 + 5*c - 9. Let q(x) = -x**3 + x**2 + x - 1. Let p(w) = a(w) - q(w). Give p(b). 24 Let y(h) be the first derivative of -5*h - 62 + 8/3*h**3 + 9/2*h**2 - 1/4*h**4. Give y(9). -5 Suppose 0 = -3*m + 5*x - x + 13, 3*x + 12 = 0. Let d(o) = -o**2 + 11*o + 3. Let k be d(11). Let y(w) = 8*w**k - w + 18 - 19 + w. Give y(m). -9 Let c(v) = -101*v**2 - 127*v - 130. Let j(p) = 30*p**2 + 42*p + 43. Let h(r) = 3*c(r) + 10*j(r). Determine h(-1). -2 Let d(v) = 4*v**2 + v + 3. Let s(g) = -g + 3. Let m be s(6). Let k(b) = -b**2 - b. Let r(p) = m*k(p) - d(p). Let c = 543 + -546. Give r(c). -18 Let i(b) be the first derivative of -5*b**2/2 - 9*b - 61. What is i(-9)? 36 Suppose -21*w + 3898 = 3877. Let v(r) = 12*r**2 - 4*r + 5. Determine v(w). 13 Suppose -13*j + 26 + 0 = 0. Suppose d = 5, -d + 16 = -3*q + 4*d. Suppose -q = -j*m - 21. Let x(k) = -k**3 - 10*k**2 - 10*k - 12. Determine x(m). -3 Let v be (23/(-46))/(4/72). Let h(g) = g**3 + 7*g**2 - 16*g - 30. Determine h(v). -48 Let c(l) = 26*l. Let g(f) = -f**2 + f + 17. Let v be g(0). Let i(o) = -o**2 + 5*o - v - 13 + 25. Let z be i(4). Determine c(z). -26 Suppose 0 = -o + 3*z - 52 + 387, 3*o - 980 = 4*z. Suppose -36*l + 34*l + o = 0. Suppose -161*b + l*b - 8 = 0. Let n(y) = y**3 + 9*y**2 + 6*y + 6. What is n(b)? 22 Let k(d) = d**2 + 5*d - 7. Let c(m) = 2*m**2 - 20*m + 49. Let n be c(7). Suppose -n*s = -2*s + 30. Give k(s). -1 Let s be 0 + (580 - 10*12/30). Let h(j) = -285*j**2 + 5*j - 290*j**2 + 5 + s*j**2 + 3. What is h(-6)? 14 Let z(t) = -12*t**2 - t**2 - 4*t + 5*t**2 - 6 + 9*t**2. Suppose -5*f + 51 = 3*s + 10, -5*f - s = -37. Let g(h) = -h**2 + 8*h - 2. Let m be g(f). What is z(m)? -1 Let r(g) be the second derivative of 2*g**5/5 - 41*g**4/12 + g**3 - 5*g**2 + 1049*g + 4. Calculate r(5). -5 Let w(h) be the third derivative of h**6/120 - h**5/15 - h**4/12 - h**3/2 + 16329*h**2. Let c = 8 - 4. Give w(c). -11 Let d(r) = -91*r**3 - 2*r**2 + 2*r. Let l(i) = 389*i + 1. Let x be l(0). What is d(x)? -91 Let z be (4/24*9)/((-14)/56). Let g(r) = -r - 20. What is g(z)? -14 Let k(o) = o**2 - 3*o - 6. Let m(l) = -8*l + 23. Let i be m(7). Let w = i + 41. Suppose 20 = -4*q + w*q. Give k(q). 4 Suppose b + 5 + 7 = -3*t, -5*t - 19 = 2*b. Suppose 0 = -b*z + 121 - 160. Let j(i) = -2*i - 13. Determine j(z). 13 Let w = 181 + -40. Let r be ((-3)/4)/(w/(-940)). Let v(j) = j**2 - 4*j - 3. Calculate v(r). 2 Suppose -22*u + 114 = 26. Let d(x) = 4*x**3 - 6*x**2 - 4*x. Let f(v) = 5*v**3 - 7*v**2 - 5*v + 1. Let y(n) = u*d(n) - 3*f(n). Calculate y(3). -6 Let v(p) = 8 + 4*p - 3*p**2 + p**2 - 21 + 10. Suppose 0 = 4*s + 2*f - 34, 3*f = -s + 28 - 7. Let t be (-3 - (-6)/4)/(s/(-8)). Calculate v(t). -3 Let v(f) be the third derivative of f**5/60 - f**4/6 - f**3/2 + 62*f**2. Let o be v(5). Let s(w) = 2*w + w**2 - 1 - 4*w**2 + w**3 + 2*w**2. Calculate s(o). 7 Let c(f) = -f**3 - 3*f**2 + 4*f + 2. Suppose 33 = 2*t - 3*n + 36, 0 = 2*t + 2*n + 18. Determine c(t). 86 Suppose 55*h = -80 - 140. Let w(y) = -y**3 - 6*y**2 - 5*y - 1. Give w(h). -13 Let d(a) be the first derivative of -1/6*a**3 + 13/2*a**2 + 13*a + 3. Let r(q) be the first derivative of d(q). What is r(6)? 7 Let w(c) be the first derivative of -c**7/840 + c**6/60 - c**5/40 + c**4/24 - 37*c**3/3 + c + 78. Let z(t) be the third derivative of w(t). Give z(4). 21 Let h(q) = -7*q**2 - 4*q + 2. Let d be h(2). Let z(n) = -4*n - 127. Determine z(d). 9 Suppose -4*k + 12*v - 40 = 14*v, 3*v = -4*k - 46. Let m(b) = 2*b**2 + 10*b + 2. What is m(k)? 30 Let x = 4830 - 4833. Let y(c) = 6*c**2 + 14*c - 7. Give y(x). 5 Let n(j) = -j**3 - 8*j**2 - 8*j + 6. Let o be n(-7). Let m = -18 + o. Let k(p) = -p**2 - 4*p + 7. Calculate k(m). 2 Let r = 3469 + -3465. Let y(b) be the second derivative of 0 - 2/5*b**5 - 1/3*b**3 + 1/2*b**2 + 1/12*b**r + 8*b. What is y(1)? -8 Let m be (-82)/(-6) + 19/57. Let l be 0*(14/(-21) + m/12). Let d(u) = u**2 + 3 - 2*u**2 + 2*u + l. Determine d(4). -5 Let c(r) = -r**2 - 6*r - 11. Let f(u) = -2*u**2 - 4*u - 8. Let h(b) = -3*c(b) + 4*f(b). Let m = -5 + 4. Give h(m). -6 Let c(r) = 5*r**2 + 6. Let n(x) = x**2 + x - 1. Let t(a) = 2*a**2 + 7*a - 11. Let y(f) = 6*n(f) - t(f). Let s(d) = 5*c(d) - 6*y(d). Determine s(-4). -8 Let n(k) be the third derivative of -k**6/120 - k**5/60 - k**4/24 + 11*k**3/6 - 847*k**2. Calculate n(0). 11 Let t(h) = 17*h**3 - h**2 + 8*h - 83. Let m(q) = 12*q**3 - q**2 + 6*q - 82. Let j(i) = 3*m(i) - 2*t(i). Give j(0). -80 Let f(a) = a**2 - 9. Let t(o) = -o**3 + 4*o**2 - 16*o + 45. Let b(d) = -5*f(d) - t(d). Calculate b(7). 14 Let k be -4 + 56/(6 + 1). Let c(o) = 99 - 101 - 10*o + k*o. What is c(-4)? 22 Suppose 18*v - 50 = 8*v. Suppose -7*j + v = -79. Let s(c) = 2*c - 16. Determine s(j). 8 Let a(l) = -l**3 + 9*l**2 - 14*l - 5. Let p be a(7). Let o(j) = -2 - j**3 - 2*j**2 - 4*j**2 + j**2 - 4. Calculate o(p). -6 Let i(y) = -115*y - 12. Let s(x) = -374*x - 39. Let o(c) = 13*i(c) - 4*s(c). Let z(m) = -m**2 - 3*m - 2. Let f be z(-4). Determine o(f). -6 Let z(q) be the third derivative of q**5/60 + 7*q**4/24 - 7*q**3/6 + 5882*q**2. Suppose 23 = -3*w + 5. Calculate z(w). -13 Let f(o) be the first derivative of o**6/36 + o**4/24 - 4*o**3/3 + 160. Let v(r) be the third derivative of f(r). Determine v(-1). 11 Let h(k) be the second derivative of k**5/20 - 2*k**4/3 + 10*k**3/3 - 31*k**2/2 - 843*k. Calculate h(6). 17 Suppose -100*r - 3 = -103*r. Let w(f) = -12*f + 28*f - r - 21*f - f**2. Give w(-4). 3 Let x(l) = -3*l + 20. Let k(b) = b - 8. Let q(z) = 14*k(z) + 6*x(z). Calculate q(12). -40 Suppose -221 + 211 = -5*f. Let j(h) = 1301*h + 2*h**2 - 1306*h + h**2 - f. What is j(3)? 10 Let h(p) = p**3 + p - 10. Let m(a) = -19582 + a**3 + 5*a - 14*a**2 + 19652 - 2*a**3. Let y be m(-14). Calculate h(y). -10 Suppose x + 15 = -3*u, 3 - 30 = 3*x + 3*u. Let v(b) = b**3 - 8*b + 2*b - 1316*b**2 + 1321*b**2 + 1. What is v(x)? 1 Let p(v) be the third derivative of v**6/120 - 7*v**5/60 - v**4/8 - 11*v**3/6 + 1227*v**2. What is p(7)? -32 Let z(c) be the second derivative of -c**4/12 - 10*c + 24. Let y(w) = w + 7. Let i be y(-5). Suppose i*l + 0*l = -2. Calculate z(l). -1 Let h(t) = t - 11. Let a = 1501 - 1505. What is h(a)? -15 Let r(q) be the first derivative of -q**4/4 + 2*q**3 + q**2/2 - 20*q + 661. What is r(4)? 16 Let i(w) be the first derivative of w**2 - 2*w - 182. Let a(o) = -o**2 + 7*o - 3. Let d be a(5). Let l = 10 - d. What is i(l)? 4 Suppose -6*o + 1363 = -167. Let u(a) = -114 + a**3 - 8*a**2 + 26*a**2 + a - 122 + o. Give u(-18). 1 Let j(k) be the first derivative of -k**4/4 + 20*k**3/3 - 35*k**2/2 - 21*k - 1615. What is j(18)? -3 Let a(k) = -9*k + 38. Let l(i) = -20*i + 246. Let g be l(12). What is a(g)? -16 Let i = 7937 + -7931. Let f(t) = -11*t**3 + 65*t**2 + 7*t - 9. Give f(i). -3 Let o(v) = 2*v**2 + 14*v + 101. Let i(h) = -h**2 - 14*h - 76. Let x(l) = -8*i(l) - 6*o(l). What is x(7)? 2 Suppose 20*c - 82 + 22 = 0. Let a(n) = -2*n - 1 + 4989*n**2 - n**c - 4989*n**2. Give a(-3). 32 Let i be (19 - 3)*-303*5/(-30). Let f = i + -805. Let n(a) = -10*a - 1. Determine n(f). -31 Let s(o) = -72*o + 114. Let g(m) = -16*m + 24. Let t(l) = 14*g(l) - 3*s(l). Calculate t(-3). 18 Let h(v) = -v + 4. Suppose -4*b + 280 = -4*q, 8*q = 4*q - 12. Let w = b + -62. Suppose w*m + 16 = 2*d, -m = 2*d + 1 - 5. What is h(d)? 1 Let x(q) = 2*q**2 + 5*q + 5. Let l(g) = 3*g**3 - 22*g**2 - 3*g + 23. Let s be l(9). Let y = -404 + s. Determine x(y). 8 Let c(q) be the second derivative of q**5/20 - q**4/4 + 4*q**3/3 - 3*q*
{ "pile_set_name": "DM Mathematics" }
vided by 1 556389 -33748894 divided by 1088674 -31 What is 8245370 divided by -35? -235582 What is 23522215 divided by -1? -23522215 Calculate -1304120 divided by 20. -65206 538100201 divided by -14263 -37727 Calculate 1661 divided by 14645. 1661/14645 Divide -100956451 by 5. -100956451/5 Calculate -53386 divided by -686. 26693/343 -866 divided by 582172 -433/291086 Divide -904272 by -5. 904272/5 Calculate 2166870 divided by 6. 361145 318286518 divided by -6 -53047753 What is 13348 divided by 779? 13348/779 Divide 4 by 286921. 4/286921 Divide -84996954 by 63. -1349158 Calculate 845430778 divided by -2. -422715389 Calculate 3647598 divided by -18. -607933/3 Divide -10657276 by 14. -761234 Calculate 3188 divided by 16343. 3188/16343 What is 1549210 divided by 11? 1549210/11 Calculate -19155 divided by -6385. 3 Calculate -101 divided by -9435. 101/9435 -3 divided by -15983960 3/15983960 -13338628 divided by -199084 67 Divide 12547500 by 25095. 500 -77091163 divided by -4 77091163/4 Calculate 1441973 divided by 2. 1441973/2 Divide 179823488 by -179823488. -1 What is 4 divided by -5450651? -4/5450651 Calculate 401125200 divided by 180200. 2226 What is -26414640 divided by -1886760? 14 Calculate 10788 divided by 207. 3596/69 Divide -37 by 1015423. -37/1015423 -1484 divided by -7130 742/3565 Calculate 2 divided by 32128008. 1/16064004 Calculate -17991821 divided by -3541. 5081 25 divided by 11219654 25/11219654 Calculate 69999084 divided by 3603. 19428 What is -7549113 divided by -429? 17597 Divide -648 by -30067. 648/30067 Calculate 128628504 divided by -234296. -549 What is 30768762 divided by 237? 129826 -10392 divided by -768 433/32 Calculate 527402560 divided by -91120. -5788 What is -6753375 divided by -9315? 725 Calculate 3809575 divided by -81. -3809575/81 What is -6 divided by -2479385? 6/2479385 What is 7205682 divided by 327531? 22 What is 2702658 divided by 687? 3934 -276438 divided by -128 138219/64 What is -8635528 divided by 3? -8635528/3 Divide -114503067 by -7. 16357581 Divide 56129968 by -3508123. -16 257262 divided by 490 128631/245 -586553850 divided by 150 -3910359 Divide -3 by -5879157. 1/1959719 Calculate 192744648 divided by -8. -24093081 Calculate -12844450 divided by 6422225. -2 What is -2072567 divided by -3? 2072567/3 What is -1982072 divided by 2? -991036 What is -363655 divided by -26? 363655/26 Divide -22727 by 33304. -22727/33304 4155525 divided by -180675 -23 Calculate -14855104 divided by 6. -7427552/3 Divide -62585840 by 8. -7823230 What is -120265068 divided by 158452? -759 What is -9915618 divided by -2901? 3418 Calculate -26559870 divided by -3. 8853290 Calculate -38 divided by 537238. -19/268619 What is -56301520 divided by -11260304? 5 Calculate -1 divided by 41641111. -1/41641111 What is -108 divided by -92412? 3/2567 What is 2523441 divided by 4? 2523441/4 Calculate -168123747 divided by -11. 15283977 0 divided by 12167014 0 -7453056 divided by -58227 128 -33642 divided by 135 -1246/5 Divide 0 by -6095321. 0 What is -148257549 divided by -1? 148257549 What is 10837 divided by 131201? 10837/131201 Divide 3840408 by -12. -320034 -91 divided by -9922 91/9922 Divide -93315 by -115. 18663/23 Divide 34306446 by 6. 5717741 -6 divided by 6246191 -6/6246191 -15189666 divided by -1 15189666 Calculate -15269392 divided by -5. 15269392/5 Divide 254422 by 985. 254422/985 What is 4 divided by 3425899? 4/3425899 Calculate -85999865 divided by 7. -12285695 Calculate 5060 divided by 23. 220 102026660 divided by 4 25506665 What is 8282347 divided by 14? 8282347/14 Calculate 611 divided by -96444. -13/2052 -12022401 divided by 21129 -569 -773928120 divided by 38696406 -20 Calculate -158 divided by 424456. -79/212228 What is 18395019 divided by -10701? -1719 Divide -667131 by -185. 667131/185 Calculate 23 divided by 295585. 23/295585 Calculate -272726 divided by -38. 7177 24473172 divided by -4 -6118293 Calculate -15255749 divided by 5. -15255749/5 What is -45105075 divided by -75? 601401 Calculate 13 divided by -4397572. -13/4397572 What is -87 divided by -176186? 87/176186 Calculate -5459574 divided by -1577. 3462 -10204901 divided by 71 -143731 Calculate -2353 divided by 12895. -2353/12895 What is -135827 divided by -1173? 135827/1173 Calculate -288111936 divided by -12964. 22224 -3 divided by 13137689 -3/13137689 Calculate -50376126 divided by -8396021. 6 What is -4703326 divided by -1? 4703326 -52 divided by -5998 26/2999 Divide 4 by 35002720. 1/8750680 52454 divided by -3451 -52454/3451 Calculate -16463580 divided by 20. -823179 Divide 502 by 1093294. 251/546647 13537 divided by 204 13537/204 What is 3794184 divided by -9? -421576 What is -1 divided by 2786288? -1/2786288 Calculate 0 divided by 1662329. 0 What is -6442250 divided by -644225? 10 54787041 divided by -2 -54787041/2 79 divided by -4119 -79/4119 -518056216 divided by -4 129514054 Divide -1338 by -136321. 1338/136321 Divide -7234975 by -1. 7234975 Divide -54461916 by -292806. 186 Calculate -20312056 divided by -5. 20312056/5 Divide 28 by 1628064. 7/407016 Calculate 29 divided by 135013. 29/135013 Calculate 79 divided by 2203686. 79/2203686 Calculate 115686 divided by -25. -115686/25 Divide 517541255 by 15917. 32515 What is -14 divided by 413953? -14/413953 What is 81090176 divided by 10136272? 8 -807573546 divided by -2 403786773 Divide -2 by -3885426. 1/1942713 Calculate 13435890 divided by -130. -103353 -955430358 divided by -318476786 3 What is 88400510 divided by -38335? -2306 Divide 0 by 48433813. 0 Divide 0 by 1872175. 0 0 divided by -5379029 0 Divide 16672605 by -3334521. -5 Calculate -5713054 divided by 8. -2856527/4 9480744 divided by 2 4740372 Divide 12 by -8660538. -2/1443423 What is -57186149 divided by 3? -57186149/3 -325889 divided by -1429 325889/1429 What is -34214 divided by 2542? -17107/1271 -109316408 divided by 345938 -316 Divide 22274357 by -6. -22274357/6 What is 410100 divided by 16404? 25 Divide 31917679 by -1. -31917679 Calculate -68 divided by 88002. -34/44001 What is -7593460 divided by 1022? -7430 Divide 19 by 286646. 19/286646 2 divided by -55132727 -2/55132727 112917936 divided by -1086 -103976 Calculate 6120464 divided by 109294. 56 Calculate 5 divided by 4481718. 5/4481718 -84532995 divided by -16906599 5 Divide -286098 by 41. -6978 Calculate -4 divided by 7713966. -2/3856983 -84767772 divided by -7063981 12 What is -1138503 divided by 1? -1138503 Divide -4 by 321211. -4/321211 What is 28864641 divided by -28864641? -1 Calculate 42842696 divided by -43628. -982 What is 1563 divided by 60846? 521/20282 What is -4189115 divided by -2? 4189115/2 What is -32679609 divided by 1? -32679609 Divide -1921 by -14123. 1921/14123 What is -125294 divided by 16? -62647/8 Divide -530196 by 46. -11526 Calculate -381198144 divided by 4. -95299536 What is -171635 divided by 648? -171635/648 1490589821 divided by -6 -1490589821/6 Calculate 3 divided by -3920432. -3/3920432 7792 divided by 618 3896/309 -7800462 divided by -54 144453 -2 divided by 19824449 -2/19824449 136671 divided by 755 136671/755 What is -5479583 divided by -4? 5479583/4 -7570119 divided by -38427 197 Calculate -2 divided by -69020674. 1/34510337 Calculate 2730088 divided by 1324. 2062 Divide 515100054 by -171700018. -3 Divide 0 by -1458968. 0 -30789 divided by 464 -30789/464 Divide -2 by -300367. 2/300367 What is 2 divided by -3204242? -1/1602121 What is 333385 divided by -9? -333385/9 Calculate -2169268 divided by 5. -2169268/5 Calculate 1473357 divided by 102. 491119/34 -192527349 divided by 861 -223609 Divide 5 by -1901400. -1/380280 70695520 divided by 21488 3290 Divide -3446196 by 2. -1723098 Divide 5465148 by 2067. 2644 4 divided by -11523586 -2/5761793 What is 362964860 divided by -2? -181482430 0 divided by 36779745 0 Divide -121177445 by 1. -121177445 Divide -233945 by 379. -233945/379 Divide 18717873 by 48. 6239291/16 Divide -73907652 by -212. 348621 752254034 divided by 107464862 7 What is -12840720 divided by 10? -1284072 Calculate 10606511 divided by 4. 10606511/4 What is -106136 divided by -21? 106136/21 What is -28 divided by 2973016? -7/743254 -28140240 divided by -5 5628048 What is 6227839 divided by -433? -14383 Divide 331 by -54615. -1/165 -3816120 divided
{ "pile_set_name": "DM Mathematics" }
for n. -2 Solve -38 = -17*p - 2*p for p. 2 Solve 2*k - 40 = -36 for k. 2 Solve 2*z = -4*z - 30 for z. -5 Solve 33 = -7*s + 54 for s. 3 Solve 3 = 4*w + 7 for w. -1 Solve 0 = -3*k + 3 - 0 for k. 1 Solve 10*p + p - 22 = 0 for p. 2 Solve 15*m - 6 = 12*m for m. 2 Solve -3*c - 716 + 725 = 0 for c. 3 Solve 254*q - 249*q = -10 for q. -2 Solve -10*i = 3*i - 26 for i. 2 Solve -22*n - 201 = -135 for n. -3 Solve 0 = -78*r + 651 - 27 for r. 8 Solve 39*a - 21 = 18*a for a. 1 Solve -2*r = 7 + 1 for r. -4 Solve 2*d + 37 = 51 for d. 7 Solve 73*w - 62*w + 99 = 0 for w. -9 Solve 0*b + 2*b - 4 = 0 for b. 2 Solve 2*o = 31 - 21 for o. 5 Solve 10*r - 13*r = 15 for r. -5 Solve 0 = -4*d + 33 - 57 for d. -6 Solve 7*m = -436 + 457 for m. 3 Solve -14 = 11*k + 19 for k. -3 Solve -43*m + 4 = -39*m for m. 1 Solve -123 + 13 = -110*r for r. 1 Solve -8*u - 4 = -4*u for u. -1 Solve 36*m = 44*m + 48 for m. -6 Solve -6*u + 82 - 64 = 0 for u. 3 Solve 0 = 9*s + 205 - 223 for s. 2 Solve -11*k = -2*k - 54 for k. 6 Solve -120*i + 21*i + 594 = 0 for i. 6 Solve -43 = 8*q - 83 for q. 5 Solve 252 = -3*v + 234 for v. -6 Solve -i - 2*i + 12 = 0 for i. 4 Solve -2 = -6*h + 4 for h. 1 Solve 9*l + 4*l = 8*l for l. 0 Solve 16*g - 34 = -50 for g. -1 Solve 0 = 23*q - 24*q - 5 for q. -5 Solve 200 = 26*f - 8 for f. 8 Solve -2646*y + 2656*y = 10 for y. 1 Solve -194*l = -188*l - 6 for l. 1 Solve -126*m = -138*m + 48 for m. 4 Solve 0 = 4*l + 9 - 1 for l. -2 Solve 17*d + 32 = -2 for d. -2 Solve 536 = 76*d - 224 for d. 10 Solve -56*k = -76*k - 140 for k. -7 Solve -62*u = 14*u + 684 for u. -9 Solve -8*x - 134 = -198 for x. 8 Solve 41*j - 12 = 35*j for j. 2 Solve 242*o - 257*o + 105 = 0 for o. 7 Solve 28 = 3*z + 22 for z. 2 Solve 0 = -21*j + 62 - 41 for j. 1 Solve -3*w - w = -9*w for w. 0 Solve 2*v = 3*v - 4 for v. 4 Solve -5*m - 33 = -23 for m. -2 Solve -124*x + 1231 = 115 for x. 9 Solve -b + 0 + 5 = 0 for b. 5 Solve 21 = 5*m + 11 for m. 2 Solve 2 = 20*h - 21*h for h. -2 Solve -629*r = -659*r - 120 for r. -4 Solve -5*y = -0 - 20 for y. 4 Solve -21 + 23 = -2*u for u. -1 Solve 0 = -123*z + 115*z - 40 for z. -5 Solve 79*r - 1328 + 538 = 0 for r. 10 Solve 21*b + 40 = -65 for b. -5 Solve 41 = 44*i + 173 for i. -3 Solve -21*t + 45 = -6*t for t. 3 Solve 12*w = -72 + 12 for w. -5 Solve -15 = -8*j - 47 for j. -4 Solve 14*v = -4*v - 36 for v. -2 Solve 0*t - 36 = 12*t for t. -3 Solve -53*z + 40 + 13 = 0 for z. 1 Solve 0 = -3*l + 17 - 11 for l. 2 Solve 4 - 26 = 11*f for f. -2 Solve 0 = 20*c - 18*c - 8 for c. 4 Solve -117*u + 120*u = 0 for u. 0 Solve 178*v + 24 = 166*v for v. -2 Solve -217 = -4*p - 225 for p. -2 Solve 37*r - 46*r - 63 = 0 for r. -7 Solve 0*l + 10 = 5*l for l. 2 Solve 72 = -38*g + 2*g for g. -2 Solve 3*h - 20 = 7*h for h. -5 Solve 2*s + 25 = 7*s for s. 5 Solve -1 - 11 = -6*f for f. 2 Solve -f + 4*f + 9 = 0 for f. -3 Solve 15*f = 23*f - 8 for f. 1 Solve 19*l = 39*l - 20 for l. 1 Solve -28*l = -24*l + 4 for l. -1 Solve -14 = -12*y + 58 for y. 6 Solve -7 - 17 = -4*l for l. 6 Solve -3 - 1 = 2*n for n. -2 Solve -1169*n + 117 = -1156*n for n. 9 Solve 0*r + 125 = 25*r for r. 5 Solve 5 = -4*z + 21 for z. 4 Solve 0 = 238*x - 242*x + 16 for x. 4 Solve -48*i + 36*i = -48 for i. 4 Solve -5*o - 77 = -82 for o. 1 Solve 8 = 1558*y - 1562*y for y. -2 Solve -45*i = -132 + 87 for i. 1 Solve 79*m = 81*m - 8 for m. 4 Solve -165*z + 178*z = 26 for z. 2 Solve 0 = 19*a - 78*a - 472 for a. -8 Solve 5*n + 96 = 66 for n. -6 Solve 0 = -11*v + 4*v + 7 for v. 1 Solve -4 = 20*r - 21*r for r. 4 Solve 4*d + 9 = 13*d for d. 1 Solve 0 = -7*j - 657 + 692 for j. 5 Solve -2*u + 21 = 5*u for u. 3 Solve -9*v - 12 = -5*v for v. -3 Solve 34*n = -13*n - 235 for n. -5 Solve 800 - 784 = -16*h for h. -1 Solve 129 = -48*w + 5*w for w. -3 Solve -15*h - 20 - 40 = 0 for h. -4 Solve -4*o + 52 - 72 = 0 for o. -5 Solve 10*x - 20 = 14*x for x. -5 Solve 205 = 36*h + 529 for h. -9 Solve -10 = 4*w - 2*w for w. -5 Solve 26*a = 9*a - 17 for a. -1 Solve 0 = -6*p + 12*p for p. 0 Solve -24*b + 30 = -30*b for b. -5 Solve -95*f - 5 = -90*f for f. -1 Solve -30*k = -31*k - 5 for k. -5 Solve 8*l - 17 = 7 for l. 3 Solve 0 = -146*i + 139*i - 56 for i. -8 Solve 396*n - 391*n = 35 for n. 7 Solve -17 = 153*u + 136 for u. -1 Solve -18*y = -93 + 219 for y. -7 Solve 6*d + 5*d - 11 = 0 for d. 1 Solve -5*u = -22*u for u. 0 Solve -30 + 32 = r for r. 2 Solve -29*f - 15 = -34*f for f. 3 Solve -69 = -16*l - 7*l for l. 3 Solve -23*b - 27 = 157 for b. -8 Solve -t - 12*t = 0 for t. 0 Solve -9*l + 41 - 5 = 0 for l. 4 Solve 5*t = 14*t - 63 for t. 7 Solve 224*j - 233*j = -54 for j. 6 Solve -3*n - 35 = 4*n for n. -5 Solve -16*w + 20 = -11*w for w. 4 Solve -n = 2*n - 3 for n. 1 Solve 5*f + 23 = 8 for f. -3 Solve 29*y = 8*y + 21 for y. 1 Solve -43*k - 102 = -60*k for k. 6 Solve 11*j = 6 - 6 for j. 0 Solve 75 = -38*o - 267 for o. -9 Solve 128 = -32*g - 32 for g. -5 Solve 5*d = 325 - 290 for d. 7 Solve -45 = 2*l - 37 for l. -4 Solve 28*m - 24*m = 12 for m. 3 Solve 0 = 104*z - 41*z - 126 for z. 2 Solve 10*n - 9 = 1 for n. 1 Solve 5*u + 4 = 9 for u. 1 Solve -39 = 6*h - 3 for h. -6 Solve -13*d = -101 + 36 for d. 5 Solve 87 = -27*o + 222 for o. 5 Solve 3 + 12 = -3*c for c. -5 Solve 1739*i - 72 = 1727*i for i. 6 Solve 1241*d = 1242*d - 5 for d. 5 Solve 0 = -7*s - 175 + 217 for s. 6 Solve 10*s - 85 = -7*s for s. 5 Solve -51 = -23*g + 6*g for g. 3 Solve 6 + 9 = 3*u for u. 5 Solve 172 = 25*p + 372 for p. -8 Solve 9*i + 18 = 3*i for i. -3 Solve 14 = k + 19 for k. -5 Solve 25*a - 175 = -10*a for a. 5 Solve 9*r + 30 + 6 = 0 for r. -4 Solve -18 = -202*i + 211*i for i. -2 Solve 3*r - 26 = -10*r for r. 2 Solve 14 - 20 = 3*j for j. -2 Solve 551*h - 32 = 543*h for h. 4 Solve -16*k + 5 = -43 for k. 3 Solve -5*k + 2 = -18 for k. 4 Solve 112 = -0*d - 28*d for d. -4 Solve 69*q - 141 = -279 for q. -2 Solve -65 = -24*n + 199 for n. 11 Solve 0 = h + 8 - 6 for h. -2 Solve q + q - 12 = 0 for q. 6 Solve 0 = -27*x - 18*x - 180 for x. -4 Solve 2*q - 7*q - 25 = 0 for q. -5 Solve 6*r + 108 - 150 = 0 for r. 7 Solve q + 4 = -1 for q. -5 Solve 7*s + 1 = 8*s for s. 1 Solve -277 = 67*d + 393 for d. -10 Solve 18*x + 6 = 15*x for x. -2 Solve -22 + 13 = 3*m for m. -3 Solve 29*t = 35*t + 36 for t. -6 Solve 4*t = -22 + 30 for t. 2 Solve -2*o - 6 = 6 for o. -6 Solve 11 - 3 = -4*c for c. -2 Solve -151*w + 105 = -1556 for w. 11 Solve 73 = -17*z - 29 for z. -6 Solve 0 = c - 4*c + 3 for c. 1 Solve 0 = -5*d + 86 - 91 for d. -1 Solve 4 = -18*z + 19*z for z. 4 Solve 45*c + 6 = 43*c for c. -3 Solve 9*p - 6 - 21 = 0 for p. 3 Solve 2 = 10*m + 12 for m. -1 Solve -11*k + 8*k + 18 = 0 for k. 6 Solve 0 = -4*w - 92 + 116 for w. 6 Solve -31*r = 2*r + 99 for r. -3 Solve -24*l + 20*l = -16 for l. 4 Solve -115 = -3*m + 26*m for m. -5 Solve -48*j - 312 = -120 for j. -4 Solve -75*r = -80*r + 10 for r. 2 Solve 166 = 12*r + 130 for r. 3 Solve -47 + 68 = 3*r for r. 7 Solve -8*o + 3 = -5 for o. 1 Solve 4*y = -21 + 5 for y. -4 Solve -38*o + 12*o - 234 = 0 for o. -9 Solve 0 = -41*b + 177 - 13 for b. 4 Solve -7 - 57 = 16*g for g. -4 Solve 114 = -w + 116 for w. 2 Solve 37*z - 91 + 91 = 0 for z. 0 Solve 18*p + 14 = -4 for p. -1 Solve 13*f + 63 + 15 = 0 for f. -6 Solve 9*w = -2*w - 55 for w. -5 Solve 11 = -8*f + 27 for f. 2 Solve -365*h + 364*h = 1 for h. -1 Solve 9 = -4*p - 7 for p. -4 Solve 0 = 729*w - 728*w - 5 for w. 5 Solve -1260 = -41*c - 85*c for c. 10 Solve -a - 28 = -8*a for a. 4 Solve 0 = 47*y - 49*y - 8 for y. -4 Solve 5*a = 9*a + 16 for a. -4 Solve -35*h + 920 = 80*h for h. 8 Solve 13*c - 14*c = 3 for c. -3 Solve -14*p + 7*p - 56 = 0 for p. -8 Solve 25 = 6*t - 11*t for t. -5 Solve -2*v = 55 - 47 for v. -4 Solve 91 = -3*a + 76 for a. -5 Solve -10*j - 42 = -2 for j. -4 Solve -87*y + 19 = 541 for y. -6 Solve 4*d + 40 = 12*d for d. 5 Solve 0 = -162*t + 32*t + 260 for t. 2 Solve -5*b + 8 = -9*b for b. -2 Solve 63*c - 251 = -62 for c. 3 Solve -i + 8 = 9 for i. -1 Solve 21*g = 15*g - 24 for g. -4 Solve -21*l - 6 = -23*l for l. 3 Solve -7*z = -4*z + 8*z for z. 0 Solve -18*t = 57 - 3 for t. -3 Solve 6*w + 369 = 47*w for w. 9 Solve 345 = -8*h + 409 for h. 8 Solve 0 = -9*g + 11*g + 2 for g. -1 Solve 109 - 69 = -8*h for h. -5 Solve 34*q - 448 = -176 for q. 8 Solve -9*n = -7*n for n. 0 Solve 0 = -12*u - 15 + 63 for u. 4 Solve 7*g - 6148 = -6134 for g. 2 Sol
{ "pile_set_name": "DM Mathematics" }
1? (a) y (b) -2/19 (c) f b Let k be (32/12)/(2/3). Let j = -2 + 3. What is the nearest to j in k, 2/9, -2/7? 2/9 Let l = 0.31 + -0.01. Which is the closest to 5? (a) 0 (b) l (c) 1/3 c Let y be (51/(-34))/(1/2). What is the nearest to -1/6 in 0.5, -1, y? 0.5 Let l = -10 - -6. Let k be 5/(-2)*l/(-15). Let w = -67/180 - 1/36. Which is the nearest to w? (a) 0 (b) 0.2 (c) k c Let z = 0 - 0. Let h be 12/(-5) - 4/(-10). Let a be -10*2/8*h. What is the closest to 2 in a, 3, z? 3 Let m = 101 - 110.4. Let h = -9 - m. What is the nearest to 0.1 in 3, h, 0? 0 Let y = -0.2 - -0.2. Let k = 1 + y. Let x = -1 + k. Which is the closest to 2? (a) 0.3 (b) x (c) -0.1 a Suppose -z + 2*t - 6 = -11, -3*t = -2*z + 7. Which is the closest to z? (a) 15 (b) 1 (c) -2 c Let k = 0.44 + -3.44. Let d = 2 + -1. Which is the nearest to d? (a) 1/4 (b) 0.2 (c) k a Let d = 0.02 - 0.62. Let y = d - -0.7. Which is the nearest to y? (a) -2/19 (b) -4 (c) 1 a Let o(k) = k**3 + 4*k**2 + 3*k. Let n be o(-2). Let s = 69/110 + -5/22. Which is the nearest to 0.1? (a) s (b) 1 (c) n a Let u be ((-2)/6)/((-5)/30). Let x = 5 - 9. What is the closest to -0.1 in x, u, 1/4? 1/4 Let w = 0.1 - -0.9. Let d = -1.7 - -2.1. Which is the closest to 0? (a) d (b) w (c) -0.3 c Let o(k) = -k**3 + 5*k**2 - 5*k - 1. Let y be o(4). Let l be (-3)/15 + (-21)/y. What is the nearest to -2/5 in -6, l, 2/5? 2/5 Let g = 1.96 + -2. Let a = g - 1.46. Let x = a - -0.5. What is the closest to x in 3, 1, -0.3? -0.3 Let y = -5 + 9. Suppose 4*k - 24 + 8 = 0, -y*q = -4*k + 20. What is the nearest to -1/4 in 1, q, 1/3? 1/3 Let v(p) = -2*p**3 + p**2 - p + 1. Let o = 3 - 2. Let m be v(o). Which is the closest to 0? (a) -0.1 (b) 4 (c) m a Let h = 38 - 38.1. What is the closest to h in -0.2, -3, -2? -0.2 Suppose 3*s - 2 = 7. Suppose -4 = s*c - 13. What is the closest to -0.1 in c, -2, -3? -2 Let x = 33.1 + -35. Let r = x + 2. Which is the nearest to r? (a) 0.3 (b) 2 (c) 1 a Let y = -12 + 11.91. Let k = 0.21 - y. Which is the nearest to -0.1? (a) -0.4 (b) -4 (c) k a Let z = 0.13 - -9.87. Let g = z + -10. Let p = 0.41 + -0.01. What is the nearest to g in -0.5, p, 0.2? 0.2 Let i = -1.73 + 0.73. Which is the closest to i? (a) 0.1 (b) 2/9 (c) 18 a Let f = -11 - -10. Suppose 2 = -2*p + 5*w, -2*p - 3*p - 2*w - 5 = 0. Which is the closest to f? (a) 0.4 (b) 0 (c) p c Let z = -24 + 47/2. Let i = 1.3 - 0.3. Let t = -1.4 + -0.6. Which is the nearest to i? (a) t (b) z (c) -3 b Let a = 1.6 + -2. Let f be ((-3)/8)/((-18)/(-12)). What is the closest to f in a, -4, 0.5? a Suppose l - 6 = 4*l. Let m = 3 - l. What is the closest to -0.2 in 0.4, -4, m? 0.4 Let w = 121/126 - 25/18. Suppose 4*d + 5*b = 29, 4*d - 3*b + 0*b = -11. What is the closest to d in 2/7, -0.1, w? 2/7 Let q = 8 + -6. What is the nearest to -1/3 in -3, q, -5? q Let h = -1/187 + -367/1309. Which is the nearest to -5? (a) -3 (b) 1/4 (c) h a Let s(y) = -y**2 - y + 3. Let n be s(0). Which is the closest to -0.2? (a) -2 (b) n (c) -0.1 c Let g = 0.11 + -0.1. Let c = 5.01 - g. Let l = 0.45 + 0.55. What is the closest to l in c, -1/4, -1? -1/4 Let y = 200 - 3402/17. What is the nearest to 3 in y, -0.5, -3? y Let m be -4 + (-3 - 166/(-22)). Let g = 0.1 - 0.1. Let w = -0.1 - g. Which is the nearest to w? (a) m (b) -0.5 (c) -1 b Let c(p) = p + 1. Let y be c(4). What is the closest to 1/2 in y, -0.03, -1? -0.03 Let w = -1/9 - 7/18. Let a = 18 - 23. Let l be ((-4)/(-21))/(4/(-6)). What is the nearest to w in l, -2/5, a? -2/5 Let x = 221/360 - 1/72. Suppose -d = 4*d - 20. Let z = 0.8 + -0.8. What is the nearest to z in x, 0, d? 0 Let i = 1660588 + -1022922479/616. Let u = 5/77 + i. What is the closest to 0.1 in 4, u, 1/5? 1/5 Let s = 62 + -94. Let y = s - -95/3. Suppose 2*b - 20 = -7*p + 2*p, -4*p + 16 = -5*b. What is the nearest to -1 in y, -1/2, b? -1/2 Let o be (10/12)/5 + 105/(-270). Which is the nearest to 0.3? (a) 0 (b) o (c) -2/15 a Let a = -1.04 - -0.04. Let v = 0 - a. Let w be 4/10 - 13/20. What is the nearest to v in -0.3, w, -1? w Let u = 223 + -225. Suppose 5*o - 37 = -3*q, 0 = q - 0*o + 3*o - 19. Which is the nearest to u? (a) q (b) -3/2 (c) 0.1 b Let k = 11.06 + -11. Let r = k - 0.56. Which is the nearest to 0.1? (a) -1 (b) 2 (c) r c Let n be 55 + 4/2 + 0. Let z = 16 - 22. Let y be n/(-18) - 1/z. Which is the closest to 0? (a) -0.5 (b) -0.4 (c) y b Let m(w) = w**3 + 5*w**2 + 3*w - 1. Let y(t) = t**2 - 11*t - 16. Let n be y(12). Let c be m(n). Let v = 1.2 + -1. What is the closest to 1/4 in -0.1, v, c? v Let g = 0.79 - 71.79. Let f = -76.6 - g. Let s = f + 6. Which is the closest to 0? (a) 1/6 (b) -2/19 (c) s b Let j be ((-18)/(-8))/(24/448). Let z = j + -127/3. What is the nearest to 2/5 in -0.3, z, 3/2? -0.3 Let j = -7 + 2. Let q = j - -4. Suppose -5 = 3*o + 7. Which is the nearest to q? (a) o (b) 0.5 (c) 1/4 c Let b(m) = 2*m**2 - 3*m + 1. Let n be b(2). Let g = 15 - 15.5. What is the closest to 1 in n, g, -4/7? g Let d = -7 + 6.9. Which is the closest to d? (a) -2 (b) 2/7 (c) -2/7 c Let i = -51/115 + 1/23. Let y = 4 + -5. What is the closest to i in y, -4, 5/4? y Let c = 1 - 1.2. Suppose -3*j - x + 13 - 2 = 0, 2*x - 19 = -5*j. Let s = 0 + j. What is the nearest to 0.1 in c, 0, s? 0 Let x = -4 + 6. Which is the nearest to 1/2? (a) -2 (b) 9 (c) x c Let t = -2.74 - 0.16. Let l = 3 + t. Let k = -3 + 3.3. What is the closest to -0.1 in 3, l, k? l Let s = 4 + -9. Let o = 4 - 4. Let k = -2 + o. What is the nearest to 0.1 in k, 2, s? 2 Suppose 165 + 23 = -4*q. Let l = -189/4 - q. What is the closest to l in -0.5, -1/9, -4? -1/9 Suppose 4*x + 17 - 6 = 3*i, 5*x - 5*i = -20. Suppose -p - 4 = -x. Which is the closest to -0.1? (a) p (b) -1 (c) 5 b Let h be (-12)/40*(-1 - 11/(-6)). What is the closest to 5 in 0.2, -4/5, h? 0.2 Let u = -38 + 20. What is the closest to -1/3 in -3/2, -5, u? -3/2 Suppose 4*o = o + 3. Let u = 33 - 32.8. Which is the nearest to u? (a) o (b) -2 (c) 2/15 c Let n = -0.36 + 0.26. Which is the closest to 2? (a) n (b) 0 (c) 2/11 c Let o = -7.3 + 7. Let t = 9 - 8.6. Which is the closest to t? (a) o (b) 2/9 (c) 4 b Let q be 4/2 + (-16)/7. Let j = -0.28 - -0.58. What is the nearest to j in q, 0, 2/5? 2/5 Let p be 27/(-6) - -8*1/2. Which is the nearest to -0.1? (a) -6/5 (b) p (c) -4 b Let s = 13.8 - 14. Let o = 3 + -3.1. Let i = s - o. What is the nearest to 1/3 in -0.2, 4, i? i Let r = -0.36 - -0.29. Which is the closest to -1/4? (a) 1/5 (b) 1/6 (c) r c Let w(d) = -d - 4. Let g be w(-6). Let h be 1*2*2/20. Let x be (-3)/3*(3 + -3). Which is the nearest to x? (a) 1/2 (b) g (c) h c Let y(l) = -l. Let g be y(-4). Let p be (-6)/(-9)*3/g. Which is the closest to p? (a) -5 (b) 2/15 (c) 2 b Let o = -77.9 - -78. Which is the closest to o? (a) 11/3 (b) 5 (c) 0.5 c Let g be (3/4)/((-6)/4). Let r be -3 + (-2 - -6) - 14/12. What is the nearest to 2/5 in g, r, 0.2? 0.2 Let o = -5.1 + 5. Let i = -2 + 2.2. Let x = i - 0.1. What is the closest to o in x, -1/4, -1? -1/4 Let s = 152.1 - 152. What is the closest to s in 0.13, 1, 1/4? 0.13 Suppose 30 + 9 = -5*u + 3*f, 4*u + 4*f + 12 = 0. Let y be (-11)/(-51) + 2/u. What is the nearest to 0 in 1, y, 0? 0 Let a = -68 - -63. What is the closest to -1/2 in a, 0.2, -2? 0.2 Let b = 101 - 101.544. Let h = b + 0.054. Let z = h - 0.01. What is the nearest to -0.1 in 0.5, z, -4? z Let n = -49 - -52. Let i = -0.2 + 0.6. Which is the nearest to 2/7? (a) -2/5 (b) n (c) i c Let c = 0.25 + -0.75. What is the nearest to -0.1 in c, -2, 0.5? c Let u = 22 + -15. Let v = u - 9. Which is the nearest to -1/2? (a) v (b) 0 (c) 0.2 b Let x = -2 - -3. Let i = 0 + x. Let v = -1 - i. What is the nearest to 1/3 in 0.1, v, 0? 0.1 Let c = 105/968 + 2/121. Let h = -1 - -1.1. What is the nearest to h in 0.4, 5, c? c Let u = -0.3 - -0.1. Let j = 8 + -3. Which is the closest to u? (a) 2 (b) -0.4 (c) j b Let y = -0.2 - 0.3. Let m = y + 6.5. Let z = -6.3 + m. What is the closest to 0.2 in z, -4, 3/5? 3/5 Let s(v) = v**2 - 4*v - 1. Let l be s(4). Let z = -1.9 + 2. Which is the closest to z? (a) -0.2 (b) l (c) -1/2 a Let x = -0.5 + 0. Let n = 1.9 - 2. Let i = 2.3 - 1.3. Which is the closest to n? (a) x (b) 4 (c) i a Let h = 0.5 + -0.1. Let d be 14/(-4) - (-6
{ "pile_set_name": "DM Mathematics" }
= -6*b + b + 48. Find the common denominator of 17/6 and b/(-96) + (-38)/(-4). 24 Let n be (9/(-2))/(6 + (-137560)/22928). Let r = n + 631920/49. Calculate the common denominator of r and 38/3. 147 Let j = 1072921/7655481 - 2/36983. Calculate the common denominator of j and -67/3. 207 Calculate the lowest common multiple of 4/(-3)*(-1176)/(-64)*-6 and 168. 1176 What is the common denominator of -17/7 and (-117)/32 - -1 - (-339)/(-1356)? 224 Let m(b) = b**3 - 12*b**2 + 23*b - 15. Let j = -13 - -34. What is the smallest common multiple of m(10) and j? 105 Suppose 83 = 2*g + 149. Let m = 31433/13 - 2416. Find the common denominator of g and m. 13 Suppose -4*y - 20 = 0, 9*y - 666 = -4*g + 11*y. Calculate the lowest common multiple of 10 and g. 820 What is the common denominator of -5*11/(66/15) and -37/456? 456 Suppose 5*h - 2*d - 30334 - 8556 = 0, 31135 = 4*h + 3*d. Suppose -h = -0*b - 4*b. Let p = -9676/5 + b. What is the common denominator of 5/8 and p? 40 Let h = 376 + -256. Find the common denominator of (3 + (-117)/24)*(-68)/(-3) and 0/(-2) - h/88. 22 Let f(x) = 4*x**2 + 6*x - 3. Let g be f(2). Calculate the lowest common multiple of 9 and 305/25 - (-20)/g. 117 Let l be (-9)/(-3) + (-2)/1. Suppose 4*r - 3*r - 5 = -3*x, -x - 4*r = 2. What is the common denominator of 133/12 and l + (-33)/x - 1? 12 Let r = -8467/332 - -1/332. Let q be ((-105)/(-30))/((-1)/(-12)). Find the common denominator of r and 42/(-4)*(q/(-60) - -1). 20 Let q(h) = 525*h**3 + 2*h**2 + 15*h - 11. Let m be q(-11). Let o = m + 2810261/4. Let u = o + -3838. What is the common denominator of 77/4 and u? 4 Let d(l) = -6*l - 115. Let i(z) = z + 23. Let w(g) = 2*d(g) + 11*i(g). Let v = -5 + 13. What is the lowest common multiple of w(13) and v? 40 Suppose 984 = -u + 3*u. Suppose q = -3*n + 411, 0 = -4*q - 4*n + 1144 + u. What is the common denominator of -53/5 and (q/32)/((-54)/16)? 45 Let a(w) = -w**2 + w + 2. Let y be a(0). Let d be 9/(-12)*y*-2. Suppose -c + 16 = d*c. Calculate the smallest common multiple of 10 and c. 20 Let c(d) = d**3 + 3*d**2 - 3*d + 11. Let t be c(-6). What is the common denominator of ((-2)/(-20))/((-20)/(-175)) and (-24)/60*t/4? 40 Let p(b) = 10*b - 74. Let c be p(30). Let n = 2011/9 - c. Calculate the common denominator of 68/33 and n. 99 Let v = 2905/18 + -159. Let o be (0 - 5)/(0 - 67). Let x = o - 1611/938. Find the common denominator of v and x. 126 Let s be -5 + 0 + 3 - 16. Let m(t) = t**2 + 18*t + 7. What is the lowest common multiple of m(s) and 16? 112 Let s(p) = -29*p**2 - p. Let v(w) = w**2. Let f(a) = -s(a) - 3*v(a). Let z be f(1). Suppose -z = -5*i + 3. What is the least common multiple of 12 and i? 12 Let r = 1181/5 + -6967/30. Find the common denominator of 37/36 and r. 180 Let a = -40202 - -360587/9. Let f = a - -136. Let c = -5811 - -46387/8. Find the common denominator of c and f. 72 What is the lowest common multiple of 72 and -2 - (6 + -12) - -29? 792 Let y = -562 - -564. Let o(n) = 16*n - 4. What is the smallest common multiple of o(4) and y? 60 Let c be 4/(-6)*39/(-26). Calculate the common denominator of c + (4/(-30))/(24/(-4290)) and -71/3. 6 Suppose -209*n + 182*n = -1620. What is the least common multiple of n and 80? 240 Let k be (-4)/22 - 9528/(-5456). Let t = -3467/558 - k. What is the common denominator of t and 1? 9 Suppose 29*m - 17783 + 2587 = 0. Calculate the least common multiple of m and 6. 1572 Find the common denominator of (-12)/96*-10*(-118)/5355 and 37/12. 4284 Let a = -8/207 - -1618/207. Let s = 90518/27 - 3354. Calculate the common denominator of s and a. 27 Let u be 4/6 + 113258/60. Let n be ((-22)/121 - (-20704)/11) + -2. Let q = n - u. Calculate the common denominator of 137/12 and q. 60 Let i = 11054 + -20833. Let u = -58537/6 - i. Let j = 5971/2896 - -68/181. Calculate the common denominator of j and u. 48 Suppose -n = -2, 3*n + 2*n = -4*y + 1426. Suppose -4*r + 5*r = 5*w + y, -4*w + 5*r - 300 = 0. Find the common denominator of -11/5 and w/(-15)*(-11)/(-8). 60 Suppose 5*g + 25 = -50. Find the common denominator of (-4)/(-6)*16/24 and (-1)/g*915/(6 - 1). 45 What is the common denominator of 101/20 and ((-11)/(-3))/(1700/1122)? 100 Suppose 5*i + 1 = 3*d + 5, -4*i + 12 = 2*d. Let c be ((-3)/3 - 0)*-10. Let r = c + -6. Calculate the smallest common multiple of r and i. 4 Let c(s) = -s**2 - 33*s - 7. Calculate the smallest common multiple of c(-31) and 5. 55 Calculate the common denominator of 33/10 - 3 - (-9)/4 and 7/106. 1060 Let l = 3718469/4488 - -4941/187. Let y = l - 851. What is the common denominator of y and 31/3? 24 Let q = 6/577 + 13181/8655. Let l(p) = -23*p**2 + 2*p - 1. Let y be l(1). Find the common denominator of 12/10*y/33 - -2 and q. 15 What is the common denominator of 3095/(-150) + 2 + (-84)/45 and -58/81? 162 Suppose -19 = -6*r + 53. Calculate the smallest common multiple of 3 and r. 12 Suppose 0 = 4*w + 2*g - 64, 3*w - 11 = -g + 39. Calculate the least common multiple of w and 16. 144 Let t = -2337 + 2339. What is the least common multiple of 10 and t? 10 Suppose 4*u = -5*a + 188, 4*a - 206 = -a + 2*u. What is the lowest common multiple of a and 32? 160 Find the common denominator of 31/200 and (-55)/2*(-6)/(-36). 600 Let g(x) = -x**3 - 12*x**2 - x - 2. Suppose -16 = -2*o - 4*z, -2*z = -0 + 4. Let f = 14 - o. What is the least common multiple of g(-12) and f? 10 Let b = -19477 - -467381/24. Find the common denominator of 181/120 and b. 120 Let q = 5 + 0. Suppose -q*k - 11 = -61. What is the lowest common multiple of (22/(-5))/((-1)/5) and k? 110 Let w = 490 - 462. Suppose -5*o = 3*l - 15, -2*o = -0*o - 6. Suppose l = -0*d + 3*d - 6. Calculate the smallest common multiple of w and d. 28 Let g = -35 + 38. Calculate the common denominator of 39/4 and ((-18)/14)/g + 510/(-1064). 76 Let d = 105803 - 34915129/330. Find the common denominator of d and -103/30. 330 Let v be ((-7)/(-14))/(1 - (-58)/(-60)). Suppose v = -11*t + 169. What is the least common multiple of 10 and t? 70 Let c(d) = 6 + 2 - 12*d - 3. Let l be c(-6). Calculate the smallest common multiple of 33/l + (-106)/(-14) and 16. 16 Suppose 0*q + 4*q - 16 = 0. Let n = 10 + q. Calculate the lowest common multiple of 1 and n. 14 Let q be 15682/(-2568) + ((-15)/9 - -1). Let r = q - -5/214. What is the common denominator of r and -9/20? 20 Let o(y) = -8*y - 37. Calculate the smallest common multiple of 36 and o(-8). 108 Let l = -14 - -5. Let r = l - -29. Suppose 45 = 2*w + 5*p, r = w + 4*p - 2*p. Calculate the smallest common multiple of 4 and w. 20 Let i = -8206 + 451357/55. Calculate the common denominator of (-16)/(-165) + 4/(-12) and i. 55 Let u = -6 - -9. Let w be 2 - 9 - (-3)/u. Calculate the smallest common multiple of (-3)/w*(5 + -1) and 8. 8 Let c = -18 - -25. Let v = -221 - -227. Calculate the lowest common multiple of c and v. 42 Suppose -4*i - 3*j + 67 = 0, i - 2*j + 0*j = 3. Let l(a) = a**3 - 12*a**2 - 13*a + 25. Calculate the lowest common multiple of l(i) and 6. 150 Find the common denominator of -101/6 and 18/3 + (3 - (-24)/(-16)). 6 Suppose 2*k - 7 = -19. Let b be (9998/23)/(k/(-9)). Let v = 651 - b. What is the common denominator of v and 31/11? 253 Suppose -3*q + 26 = 2. Let i(r) = -r**3 - 5*r**2 + 3*r - 15. Let j be i(-6). What is the least common multiple of 4*(j*(-2)/(-4))/3 and q? 8 Let z = -216115/21 - -10289. What is the common denominator of 113/66 and z? 462 Let r(w) = w + 2. Let p(u) = -u**3 - 21*u**2 + 2*u + 48. Calculate the lowest common multiple of r(16) and p(-21). 18 Let m = 4309/220 + -377/22. Find the common denominator of 95/32 and m. 160 What is the smallest common multiple of -10 + 7 + -7 + 100 and 50? 450 Let g(h) = -h - 80. Let w(p) = -p - 6. Let c be w(-6). Let v be g(c). Find the common denominator of -29/4 and 3 + 476/v - 3. 20 Let t(z) = -3*z + 3. Let n be t(-9). What is the common denominator of -103/6 and ((-3)/n)/(5/470)? 30 Suppose 8*k + 2 = 9*k. What is the smallest common multiple of 160 and k? 160 Let h(w) = -w**3 - 22*w**2 - w + 18. What is the smallest common multiple of h(-22) and 40? 40 Let x(d) = -d**3 + 12*d**2 + 13*d + 19. Calculate the least common multiple of x(13) and (-375)/(-35) - ((-5)/(-7) + -1). 209 Calculate the common denominator of (-18564)/45152 + 2/4 and 7/8. 664
{ "pile_set_name": "DM Mathematics" }
be the first derivative of 3*c**6/2 - c**2/2 - 2. Find the second derivative of a(j) wrt j. 180*j**3 Let l(g) be the first derivative of -1/2*g**6 + 0*g - 1/3*g**3 + 0*g**5 + 1 + 0*g**4 + 0*g**2. What is the third derivative of l(k) wrt k? -180*k**2 Let q(a) = a - 3. Let l(d) = -5*d + 3*d - 7 + 4*d. Let i = 0 - 2. Let w(r) = i*l(r) + 5*q(r). Differentiate w(z) wrt z. 1 Suppose -4*m + 3*m + 4 = 0. What is the second derivative of -6*b - b + b - b**4 + m*b wrt b? -12*b**2 Let f(r) be the first derivative of -39*r**5/5 - 42*r - 13. What is the derivative of f(q) wrt q? -156*q**3 Suppose 4 - 6 = 2*w - 3*y, 2*w + 5*y - 14 = 0. Let g be (w/3)/((-4)/(-42)). Find the first derivative of 3*a**2 - g*a**2 + 3*a**2 - 2 wrt a. -2*a Let j(s) be the first derivative of 0*s - 3 - 1/2*s**2 - 4/3*s**3. What is the second derivative of j(g) wrt g? -8 Let q(m) be the second derivative of m**5/2 + m**3/2 - 3*m**2 + m - 4. Find the first derivative of q(b) wrt b. 30*b**2 + 3 Let w = -7 + 9. What is the first derivative of -h**2 - w - 2*h**4 - 3*h**2 + 4*h**2 wrt h? -8*h**3 Suppose 3*b - 11 = -2. Let a(l) be the first derivative of 2 + 2/5*l**5 + 0*l + 0*l**4 + 0*l**b - 2*l**2. Find the second derivative of a(k) wrt k. 24*k**2 Let x(k) = -6*k + 16. Let f(p) = 13*p - 33. Let s(o) = -4*f(o) - 9*x(o). What is the derivative of s(j) wrt j? 2 Let v(z) = -10*z**2 - 8*z - 6. Let d(w) = 10*w**2 + 7*w + 5. Let t(k) = -6*d(k) - 5*v(k). What is the second derivative of t(o) wrt o? -20 Let a(g) = g**3 + 4*g**2 - g - 2. Let p be a(-4). Let b(k) be the first derivative of 0*k - k**3 - 2 - 3/2*k**p. Find the second derivative of b(v) wrt v. -6 Let d(g) be the third derivative of 23*g**7/210 + 7*g**5/30 + 2*g**2. Find the third derivative of d(w) wrt w. 552*w Suppose 0*m - 12 = -4*m. What is the second derivative of -2*w**4 - 2*w**4 + 6*w**4 - m*w wrt w? 24*w**2 Suppose -4*g - 12 = -y + 9, g = -3*y - 2. Let b be 3 - y - (-2 - -4). What is the second derivative of 2*z + z + 2*z**5 + b*z - z**5 wrt z? 20*z**3 Let l(v) be the second derivative of -11*v**6/15 + 4*v**2 + 11*v. Find the first derivative of l(i) wrt i. -88*i**3 Differentiate 6 - 3 - 2 - h**4 + 4 wrt h. -4*h**3 Let c(x) = x - 4. Let l be c(8). What is the second derivative of 3*y**4 + 2*y**4 - y**l + y wrt y? 48*y**2 Let m(u) be the third derivative of u**5/15 - u**4/4 + 4*u**2. What is the second derivative of m(w) wrt w? 8 Let r(y) = -17*y**4 - 4*y**3 + 7*y**2. Let c(g) = 50*g**4 + 11*g**3 - 22*g**2. Let m(b) = 4*c(b) + 11*r(b). Find the third derivative of m(i) wrt i. 312*i Let z(d) be the second derivative of 0*d**6 - 6*d + d**3 + 0 + 0*d**2 + 1/42*d**7 + 0*d**5 + 0*d**4. What is the second derivative of z(w) wrt w? 20*w**3 Let w(q) be the third derivative of 13*q**9/252 - 19*q**5/60 + 35*q**2. Find the third derivative of w(g) wrt g. 3120*g**3 Let v(y) be the second derivative of -y**7/280 + y**6/60 - y**3/2 - 8*y. Let n(x) be the second derivative of v(x). Find the third derivative of n(i) wrt i. -18 Let n(r) = 2*r**2 + 2*r - r + 2*r**2 - 3. Let a(g) = 5*g**2 + 2*g - 4. Let h(y) = -3*a(y) + 4*n(y). Find the second derivative of h(f) wrt f. 2 What is the third derivative of 15*j**2 - 9*j**2 + 12*j**6 + 16*j**2 wrt j? 1440*j**3 Let m(u) = 12*u**4 - 11. Let j(b) = -11*b**4 + 10. Suppose w + 2 = -3. Let n(z) = w*m(z) - 6*j(z). Differentiate n(d) wrt d. 24*d**3 Let v(i) = i. Let a(y) be the second derivative of -y**4/4 + 2*y**3/3 + 2*y**2 - y. Let q(h) = a(h) - 4*v(h). Differentiate q(z) wrt z. -6*z Let n(f) be the first derivative of -f**6/3 - 14*f**2 + 25. What is the second derivative of n(l) wrt l? -40*l**3 Let y be 4/(-10) + (-84)/(-35). What is the third derivative of -2*q**3 - 4*q**y + 6*q**3 - 2*q**3 wrt q? 12 Let v(x) = -6*x**4 - 28*x**3 + 5*x**2 + 65*x. Let w(d) = d**4 - d**3 - d**2 + d. Let g(q) = -v(q) - 5*w(q). Find the second derivative of g(h) wrt h. 12*h**2 + 198*h Let r = 14 + -12. Find the third derivative of -r*s**2 + 0*s**6 + 0*s**2 + 2*s**6 wrt s. 240*s**3 Let p(f) = 52*f - 48. Let y(m) = -2*m + 1. Let u(h) = p(h) + 3*y(h). Differentiate u(q) wrt q. 46 Let n(i) be the first derivative of -i**6/60 - 5*i**4/24 - 5*i**2/2 - 3. Let a(x) be the second derivative of n(x). Find the second derivative of a(o) wrt o. -12*o Suppose -2*q + 10 + 22 = -2*j, -3*q + 2*j = -44. Let s = q + -10. Find the third derivative of -3*p**2 - p**s - p**5 - 2*p**5 wrt p. -180*p**2 Suppose 4 = 7*k - 3*k. Let v(g) = -1. Let b(q) = 3*q. Let y(r) = k*b(r) + 3*v(r). Differentiate y(j) wrt j. 3 Let y(r) be the third derivative of -5*r**8/336 + r**4/4 + 3*r**2. What is the second derivative of y(z) wrt z? -100*z**3 Let k(l) be the second derivative of -l**6/60 + l**4/8 - l**2 + l. Let y(f) be the first derivative of k(f). Find the second derivative of y(g) wrt g. -12*g Let h(q) be the first derivative of -3/2*q**2 + 0*q**5 + 0*q**4 + 3 + 1/3*q**6 + 0*q + 0*q**3. What is the second derivative of h(z) wrt z? 40*z**3 Let u(q) be the first derivative of 2*q + 5 - 2*q**3 + q**3 - 2 + 3*q. What is the derivative of u(o) wrt o? -6*o What is the second derivative of -t**2 + t + 2*t + 2*t + 5*t**2 wrt t? 8 Let j(q) = 10*q**5 + 2*q**4 - 2*q**3 + 9*q**2 + 2. Let z(y) = y**4 - y**3 + y**2 + 1. Let k(d) = -j(d) + 2*z(d). What is the third derivative of k(o) wrt o? -600*o**2 Let x(g) = -1. Let r(p) = 5*p**3 + 4*p**2 - 6. Let h(k) = -r(k) + 6*x(k). What is the third derivative of h(s) wrt s? -30 Suppose 0 = -5*o - 5*x + 85, 65 = 5*o + x - 6*x. Suppose -3*t = -t - b - 5, -3*b = -t + o. Find the third derivative of t*y**2 + y**2 + 2*y**4 + y**2 wrt y. 48*y Suppose 2*b + 3*b = 10. Find the second derivative of 3*w + w**b - 4*w**2 - 2*w**2 wrt w. -10 Let o be 17/(-12) - ((-14)/4 - -2). Let n(l) be the second derivative of -1/6*l**3 + 0*l**2 + o*l**4 + 0 + 4*l. What is the second derivative of n(u) wrt u? 2 Let n be 2/(-8) - 4/(-8). Let w(t) be the first derivative of 1 + 0*t**2 + 0*t - n*t**4 - 2/3*t**3. What is the third derivative of w(m) wrt m? -6 Let v(t) be the first derivative of -8*t**3/3 + 11*t + 17. Differentiate v(l) with respect to l. -16*l Let v(n) be the first derivative of n**6/30 - n**5/12 - n**2/2 + 5. Let y(s) be the second derivative of v(s). Find the third derivative of y(i) wrt i. 24 Let p(h) be the second derivative of 13*h**8/28 + h**4/4 - h**3/2 - 51*h. Find the third derivative of p(f) wrt f. 3120*f**3 Let b = -15 + 21. Find the third derivative of -3*m**4 + 3*m**4 - m**2 + 0*m**6 - 3*m**b wrt m. -360*m**3 Let q(o) be the third derivative of -o**6/24 - 2*o**4/3 - 17*o**2. What is the second derivative of q(v) wrt v? -30*v Let i(t) be the third derivative of t**10/5040 - t**6/90 - 2*t**3/3 - 4*t**2. Let s(b) be the first derivative of i(b). Find the third derivative of s(m) wrt m. 120*m**3 Let x(k) = 3*k + 7*k - 11*k + 4*k - 1. Let g be x(1). Find the third derivative of 2*d**4 - 3*d**2 + 2 - g wrt d. 48*d Let x(k) = 10*k**3 - 4*k**2 + 3*k - 3. Let d(z) = 9*z**3 - 5*z**2 + 4*z - 4. Let r(b) = 3*d(b) - 4*x(b). Find the third derivative of r(w) wrt w. -78 Suppose 2 = 4*x - 6. Find the third derivative of 7*n**2 + n**x + 4*n**4 + 3*n**4 wrt n. 168*n Differentiate 27 - 2*u**2 + 8*u**2 - 15 wrt u. 12*u Find the second derivative of -2*x + 3*x**5 + x + 0*x**5 wrt x. 60*x**3 Find the third derivative of 2*d**5 - 18*d**5 - 11*d**2 + 21*d**2 wrt d. -960*d**2 Let b(s) = 2*s**5 - s**2 + 3*s - 1. Let z(c) = c**5 + c**2 + 1. Let g(m) = -2*b(m) - 2*z(m). What is the second derivative of g(l) wrt l? -120*l**3 Let v(o) be the third derivative of o**6/40 - 5*o**4/24 - o**2. What is the second derivative of v(u) wrt u? 18*u Let r = 7 + -4. What is the second derivative of -2*h**3 + 5*h**r + 6*h - h wrt h? 18*h What is the second derivative of 102*p**3 + p - 174*p**3 + 101*p**3 wrt p? 174*p Let f(x) be the second derivative of -x**7/42 - x**5/15 - x**2/2 - 3*x. Let b(v) be the first derivative of f(v). Find the third derivative of b(h) wrt h. -120*h Let t(c) = -9*c + 7 - 3 + 2*c. Let l(k) = -20*k + 12. Let o(j) = 4*l(j) - 11*t(j). Differentiate o(s) with respect to s. -3 Let r(n) = -5*n**3 - 6*n + 2. Let p = -8 - -7. Let a(z) = 2*z**3 + z + 0*z - z**3. Let j(x) = p*r(x) - 6*a(x). Differentiate j(i) with respect to i. -3*i**2 Let s = 3 + -1. Find
{ "pile_set_name": "DM Mathematics" }
(a) 0.2 (b) -5/3 (c) -0.3 (d) -0.0368 (e) 1/2 b What is the smallest value in -2/3, 25, -3, -1/6? -3 What is the smallest value in -5, 21, -0.4? -5 What is the smallest value in -0.1, -2/3, -44? -44 Which is the fourth smallest value? (a) -2/7 (b) 0.7 (c) 4/31 (d) -2 b What is the second smallest value in -0.4, 0.3, -1.28, -3? -1.28 Which is the smallest value? (a) 23 (b) 0.01 (c) -2/17 c Which is the third biggest value? (a) -1/3 (b) 0.31 (c) 2/13 (d) -10 a What is the second smallest value in -44, -4, -10? -10 Which is the smallest value? (a) -4 (b) -2/7 (c) 4 (d) 2/3 (e) -18 e What is the third smallest value in 13/4, -0.06, 1, 2? 2 Which is the third biggest value? (a) 0 (b) 2 (c) -0.63 c Which is the third biggest value? (a) 0.2 (b) -62 (c) 4/3 (d) -2 d What is the fourth biggest value in 2, -2/15, 5, -4? -4 Which is the fifth biggest value? (a) 3/5 (b) -0.05 (c) 0.2 (d) 3/7 (e) -1/3 e Which is the third smallest value? (a) 1/2 (b) -5.4 (c) -2 (d) 2 (e) -1/2 e What is the second biggest value in -4, -108, -10? -10 Which is the fourth smallest value? (a) 2/5 (b) 2/3 (c) -0.4 (d) -2/13 (e) 0.3 a What is the smallest value in -1, 0.02, -46? -46 What is the third biggest value in -5, 1, 7/59? -5 What is the second smallest value in -0.3, -119, -1/2? -1/2 What is the third biggest value in 3, 3/2, -1, 3/472? 3/472 What is the third biggest value in -3/10, 5, -0.2, 2? -0.2 What is the third smallest value in 4, -2, -8? 4 What is the biggest value in 0.34, 5, 2/9, 2? 5 Which is the fourth biggest value? (a) 1/12 (b) 0.4 (c) 5 (d) 40/17 (e) 0.1 e Which is the fourth smallest value? (a) 44 (b) -1 (c) -0.08 (d) 1 (e) -2 d Which is the second biggest value? (a) 0.3 (b) 1 (c) 2 (d) 50 c What is the smallest value in 3, -185, 5/2? -185 Which is the biggest value? (a) 86 (b) 0.4 (c) -1/3 a What is the biggest value in 9, -3/8, -59? 9 Which is the second biggest value? (a) -92 (b) -3 (c) 1 b What is the third smallest value in -2/5, -11, 2/345, -5? -2/5 Which is the smallest value? (a) 2/3 (b) 0 (c) 21 (d) -1 d What is the biggest value in 3/7, 2/21, 31? 31 What is the third smallest value in -1, 0.6, -2, 3/8, -6? -1 What is the fourth smallest value in 0.01, -1, -0.02, 0.5? 0.5 Which is the fourth smallest value? (a) 2/7 (b) 4 (c) -1.1 (d) -5 b What is the smallest value in 5, -4, 0.3, 608? -4 What is the third biggest value in 0.1, 14, -283, -1, 0? 0 What is the biggest value in 2/7, 0.3, 2/3, 0, -5? 2/3 What is the third biggest value in 1/4, 4, -4/15, -0.1? -0.1 What is the smallest value in -0.3, 4, 2/7, -19? -19 What is the second smallest value in -1/6, -0.4, 1, -2, -1.66? -1.66 Which is the third biggest value? (a) -1 (b) -5/3 (c) -12 (d) -1/3 b Which is the third smallest value? (a) 3/31 (b) 3/5 (c) -1/2 b Which is the second biggest value? (a) -14 (b) -0.06 (c) 0 b What is the third biggest value in -1/4, -4, -5/2, 4? -5/2 Which is the fourth biggest value? (a) 0.2 (b) -4 (c) -4/5 (d) -4/33 b Which is the fourth smallest value? (a) 0.1 (b) 0.3 (c) -0.4 (d) -1 (e) 151 b Which is the smallest value? (a) 10 (b) -3 (c) 3.2 b Which is the second smallest value? (a) -0.52 (b) 0.6 (c) -0.5 c Which is the third biggest value? (a) -14/5 (b) 4/3 (c) 0.07 (d) 0 d Which is the biggest value? (a) 4/25 (b) 1/3 (c) 0 (d) -0.5 b What is the fifth biggest value in 3, -3, 5, 0.1, 0.4? -3 Which is the smallest value? (a) 10 (b) 0.6 (c) 1 (d) 1/2 d What is the biggest value in 0, -1.7, 0.5, -0.1? 0.5 Which is the smallest value? (a) -0.2 (b) -1/716 (c) 0.3 (d) -2 d What is the fourth smallest value in -8, -0.036, -5, 0.1? 0.1 Which is the biggest value? (a) 3 (b) 42 (c) -1/3 (d) -2 b Which is the third smallest value? (a) -0.3 (b) 31 (c) -0.12 b What is the biggest value in -5, -3, -3/10? -3/10 What is the fourth biggest value in 1/12, 2, 3/4, -1/7? -1/7 Which is the smallest value? (a) 4/5 (b) -3/8 (c) -0.92 (d) -3 d Which is the fourth smallest value? (a) 0.5 (b) -2/3 (c) -2/11 (d) 13 d Which is the biggest value? (a) -1/3 (b) -0.07 (c) -0.1 (d) -1 (e) 2/9 e Which is the second biggest value? (a) -4 (b) 1/3 (c) -2/13 (d) 1 b Which is the fourth smallest value? (a) -21/428 (b) 2 (c) 1/3 (d) -0.4 b Which is the second smallest value? (a) -0.2 (b) -3 (c) -197 b What is the smallest value in -2/11, -13, 4, -5? -13 Which is the fourth smallest value? (a) 0.1 (b) 77/5 (c) 0.2 (d) 2 (e) -3 d Which is the smallest value? (a) 2 (b) -5 (c) 1/3 b What is the third smallest value in -4, -0.4, 10, 2? 2 What is the smallest value in -21, 0, -0.2? -21 What is the fourth smallest value in -1, -79, -0.1, 4/9? 4/9 Which is the third biggest value? (a) 0.3 (b) -1 (c) -3/8 (d) 357/5 c Which is the smallest value? (a) -5 (b) 187 (c) 0.4 a What is the third biggest value in 662, 1/4, 2? 1/4 What is the second biggest value in -60, -2/11, 0.01? -2/11 What is the smallest value in -1/5, -3, 0? -3 What is the fourth biggest value in -4/5, -653, -2/11, -0.3, 3? -4/5 Which is the biggest value? (a) 0.3 (b) -6/19 (c) -4 a What is the second smallest value in -5, 731, -2? -2 What is the third smallest value in -2, -0.3, -2/9, -92, 0.2? -0.3 Which is the fourth biggest value? (a) -4 (b) -2 (c) -8 (d) 0 c What is the second smallest value in 4/11, 1, -1/3? 4/11 What is the second biggest value in -2/7, 2.5, 1/11, 1? 1 Which is the third biggest value? (a) -1/4 (b) 118 (c) 5 a What is the smallest value in 0.3, -0.52, -3/5? -3/5 What is the third smallest value in 0.07, -8, -1.3? 0.07 Which is the third biggest value? (a) -6/11 (b) 5 (c) 14 a Which is the third smallest value? (a) -4/5 (b) 24/11 (c) -5 b What is the fifth biggest value in -3, 1, -1/2, 1/13, -1? -3 What is the biggest value in 0.4, -33/4, -0.2? 0.4 What is the smallest value in 0.3, -0.02, -0.05, -0.5? -0.5 What is the second biggest value in 0.07, 0.4, -0.5, 0.1? 0.1 What is the third smallest value in -2/11, -47, 5/4? 5/4 Which is the third smallest value? (a) 3 (b) -1/10 (c) 2/5 (d) 13 (e) 2/9 c Which is the third smallest value? (a) 24 (b) 11 (c) -2/3 a Which is the second biggest value? (a) 1/5 (b) -3/5 (c) -26 b What is the third smallest value in 61, 0.1, 4? 61 What is the third biggest value in 1, -0.3, -5, 38, -3? -0.3 Which is the third biggest value? (a) 1/8 (b) -15 (c) -4 (d) -6 d What is the second smallest value in 0.2, -3, -0.5, 43, 5? -0.5 What is the biggest value in -5, 1, -1/60, -0.3? 1 Which is the second smallest value? (a) 0.5 (b) -40 (c) 18 (d) -1 d What is the third smallest value in 1/6, -34/131, -2/7? 1/6 What is the third smallest value in -10, 0, 23? 23 Which is the fourth smallest value? (a) -1/6 (b) -1 (c) 0.5 (d) -57 c What is the fourth biggest value in -1/4, 4, 2/3, -15? -15 Which is the second smallest value? (a) 0.1 (b) 44 (c) -4 (d) -5 c What is the third smallest value in -0.3, 0.1, -1/18? 0.1 What is the second smallest value in -0.5, 60, -3, -10? -3 Which is the second biggest value? (a) 0.04 (b) 5 (c) -3 a What is the biggest value in -3/8, 6839, -3? 6839 What is the third smallest value in 0.3, -4, 102? 102 Which is the third smallest value? (a) -0.02 (b) 0.59 (c) -2 (d) -3/2 a What is the biggest value in -4, 0.04, 2, 0.3? 2 Which is the second smallest value? (a) -5 (b) 2/5 (c) -50/9 a Which is the second biggest value? (a) -18 (b) 4 (c) -2/49 c What is the third biggest value in -2/51, 2/15, -42? -42 Which is the biggest value? (a) 2 (b) 5 (c) 2/7 (d) -3 (e) 0.06 b Which is the third smallest value? (a) -0.03 (b) -54 (c) 5 (d) -3/4 a Which is the second biggest value? (a) 5 (b) -9 (c) -14 (d) -2 d What is the second biggest value in -7/3, -1/2, 3? -1/2 What is the second biggest value in -2406, -2, -4? -4 Which is the third biggest value? (a) -0.09 (b) 4 (c) -1/3 (d) -4 c Which is the biggest value? (a) 3 (b) -1/5 (c) 172 c What is the third biggest value in -6/5, 18, 4, 2? 2 Which is the smallest value? (a) 3 (b) 0 (c) 1/110 b What is the second biggest value in -2, -3, 4/3, -5? -2 Which is the third biggest value? (a) 58 (b) 2/5 (c) 2 (d) 5
{ "pile_set_name": "DM Mathematics" }
513117 - -270876. Let y = b - -135241. Round y to the nearest 10000. -110000 Let d = -140 - -142. Suppose 2*t - 2*j = -32199996, -t - d*j - 17976861 = -1876857. What is t rounded to the nearest 1000000? -16000000 Let t = -392330.2197 + 392731.5. Let h = t + -140.27913. Let y = h - 261. What is y rounded to 4 decimal places? 0.0012 Suppose -3*x - 193799996 = -2*c, 4*x - 64600002 = 5*x + c. Round x to the nearest 1000000. -65000000 Let v = -200192400691.709978 - -200192128802. Let f = v - -271890. Let q = f + -0.29. Round q to 5 decimal places. 0.00002 Let d = -696 + 696.693. Let o = 268 + -270.517. Let f = o - d. Round f to 1 decimal place. -3.2 Let i = -10045 - -9867.24. Let g = -174 - i. What is g rounded to one decimal place? 3.8 Let p = -487.0001088 - -487. Round p to 6 decimal places. -0.000109 Let d = 1 + 15. Suppose 4*w + 0 = d. Suppose w*r + 24500000 = -r. What is r rounded to the nearest 1000000? -5000000 Let t = 0.054 - 33.054. Let z = t + 32.255. Let q = z + -0.245. What is q rounded to one decimal place? -1 Suppose 0 = -10*z + 2*z + 16. Suppose -z*x = -0*x + 166. Round x to the nearest 10. -80 Let o(t) = 10*t**3 + t + 1. Let s be o(-1). Let u = s - -8. Let v(x) = -3649998*x + 4. Let q be v(u). Round q to the nearest 1000000. 7000000 Let p(l) = l**2 - 24*l - 6. Let f be p(24). Let i be 3*f/(-63) + (-407399996)/(-14). What is i rounded to the nearest 1000000? 29000000 Suppose 2*x - 1344 = -5*j, -j - 2*j + 3*x + 819 = 0. Let m be (j/(-12))/(9/3000). What is m rounded to the nearest 1000? -8000 Suppose -2*n = -5*s + 4*s - 115429, 0 = -3*s - 4*n - 346277. Suppose -2478843 = -9*w - 0*w. Let z = s + w. What is z rounded to the nearest ten thousand? 160000 Suppose -11560002 = 2*o + 2*i, -3*i - 16329755 = 5*o + 12570248. Round o to the nearest one hundred thousand. -5800000 Suppose -9*q = -4*q + 15. Let u = q + 5. Suppose u*m - 748 = 1672. Round m to the nearest one hundred. 1200 Let l = 6543 + -6398.69. Let p = l + -143. Let n = p - 1.3099891. Round n to 6 dps. 0.000011 Let w = 95458160 + -95458072.800914. Let p = w - 87.2. What is p rounded to 4 dps? -0.0009 Suppose -b + 42390 = -76610. Round b to the nearest one hundred thousand. 100000 Let h = -51.827 + 51.6. Let o = -0.226907 - h. What is o rounded to five dps? 0.00009 Let v = 8 + -37. Let s = -591077 - -591106.0011. Let z = s + v. Round z to 3 dps. 0.001 Let s = 0.034569008 + 21.965429872. Let j = 21.9691 + 0.0309. Let k = j - s. What is k rounded to 7 dps? 0.0000011 Let i = 3.487 + 0.453. Let m = i + 0.16. Round m to zero dps. 4 Let a = -506.9997954 - -507. Round a to 5 dps. 0.0002 Let h(j) be the first derivative of -2/3*j**3 - 3*j**2 - 4*j - 10*j**4 - 12. Let b be h(-6). What is b rounded to the nearest one thousand? 9000 Let z = -8779905.699963 + 8779902. Let g = -3.7 - z. Round g to 5 decimal places. -0.00004 Let d = -0.04099 + 0.31609. Round d to 2 decimal places. 0.28 Suppose 9*y = 4608 + 9702. Round y to the nearest one hundred. 1600 Let q = -45.146507 + 45.179. Let t = q - 0.0322. Round t to four dps. 0.0003 Suppose -4*p + 4*o = o - 52581, 3*o + 39435 = 3*p. Let g = p + 6154. Round g to the nearest 1000. 19000 Let f = -0.012 - 0.318. Let v = f + -6.67. Let s = 7.000312 + v. Round s to five dps. 0.00031 Let c = 632762247.00000026 - 632762254. Let g = c - -7. What is g rounded to 7 dps? 0.0000003 Let k(j) = 138888*j**3 - 3*j**2 + j + 6. Let l be k(-3). What is l rounded to the nearest one hundred thousand? -3800000 Suppose -10*b + 16*b = 408600. What is b rounded to the nearest 10000? 70000 Suppose -79884 = -5*x + 8*x. Let q = x + 107528. Round q to the nearest 10000. 80000 Let l = -0.000461 + 192.656461. Let j = l + -192. What is j rounded to two dps? 0.66 Let z = 76.8 - 9.8. Let c = -12980 - -13046.61. Let h = c - z. What is h rounded to one dp? -0.4 Let w = 63 + -63.27. Let o = -0.37 + w. Round o to one decimal place. -0.6 Let w(o) = 72*o - 123. Let d be w(-15). What is d rounded to the nearest ten? -1200 Let k = 0.535197651 + -0.5352. What is k rounded to 7 decimal places? -0.0000023 Let r(u) = -u**2 - 8*u - 5. Let x be r(-7). Suppose -5124 = 3*o - 2*k, x*o + 2*o + 6825 = 5*k. Round o to the nearest 1000. -2000 Let y = -4.03 - -4.1588. Let i = y + -57.0288. Round i to the nearest ten. -60 Let x be 3 - (-2 + (-29806)/1). Suppose v = -x + 10111. Round v to the nearest one thousand. -20000 Let l = 2.89 + -2.88999792. What is l rounded to six decimal places? 0.000002 Let h be 3 + ((-3)/(-12) - 13/4). Suppose 3*m = 2*i + 8567, -m = 4*i - 0*m + 17155. Let j be (-1250)/(h + 4/i). Round j to the nearest one hundred thousand. 1300000 Let d(k) = -33*k**3 - k**2 + 2*k - 4. Let t be d(2). Let c = -3970 + t. Let s = 1938 + c. What is s rounded to the nearest 1000? -2000 Let j = -0.442 + 0.4418835. Round j to six decimal places. -0.000117 Let g = 171.31 - -1.69. Let v = g + -419. Let q = v + 245.999758. Round q to 5 decimal places. -0.00024 Let o = 302 - 128. Let r(i) = -158*i - 4. Let b be r(5). Let g = b + o. What is g rounded to the nearest one hundred? -600 Let z(y) = -2*y**3 + 5*y**2 - 3*y + 26. Let s be z(-6). Round s to the nearest one hundred. 700 Let t = 10605 + -9538.63. Let f = -1062 + t. What is f rounded to one dp? 4.4 Let p = 0.316 + -0.31600178. What is p rounded to 7 decimal places? -0.0000018 Let d = 0.2149990223 + -0.215. What is d rounded to 7 dps? -0.000001 Let h = 120.463 + -27.159. Let s = h - 93. Round s to two dps. 0.3 Let y = 88 + -87.959. Let g = 0.04100019 - y. What is g rounded to seven decimal places? 0.0000002 Let d be 5/(-10)*(11 - 1). Let a(x) = -x**2 - 3*x + 5. Let c be a(d). Let s be 1/c + 175000005/25. What is s rounded to the nearest 1000000? 7000000 Let b = -287.99996544 + 288. What is b rounded to 5 dps? 0.00003 Let k = 750 + -1102. Let f = k - -623. What is f rounded to the nearest 10? 270 Let s = 14 - 36. Let z be ((-957)/s)/((-6)/(-4)). Round z to the nearest ten. 30 Let a be (4/(-3))/(2/1109811). Let u = 189683 - 89557. Let v = a - u. Round v to the nearest 100000. -800000 Let p = -278 + 278.013. What is p rounded to two decimal places? 0.01 Let t = 406 + 781. Let q = t - 1187.000479. Round q to 4 decimal places. -0.0005 Let w = 1.150000267 + -1.15. Round w to 7 decimal places. 0.0000003 Let q = -28 + 27. Let c be 1*q/(3/(-6753)). Suppose c = 5*p + 7751. Round p to the nearest 1000. -1000 Let p = -6.46 + -0.04. Let b = p - -6.609. Let v = b - 0.10900061. Round v to 7 dps. -0.0000006 Let n = -2.4 - -1. Let t = -1.34 - n. Round t to two decimal places. 0.06 Let v(l) = -l + 11. Let j(u) = 4*u - 17. Let f be j(7). Let n be v(f). Suppose -18 = -t - 0*t + 4*m, n = -4*t + m + 12. Round t to the nearest 10. 0 Let u = 0.6086 + -0.1196. Let o = u - 0.838. Round o to one dp. -0.3 Let o = -0.12 - -1.12. Let r = -694.59 + 695.59023. Let i = r - o. What is i rounded to 4 dps? 0.0002 Suppose -4*d + 13919984 = 4*x - 8*d, 2*d - 6960008 = -2*x. Round x to the nearest 100000. 3500000 Let q = 97.04 - 28.46. Let t = 68 - q. Let i = t + 0.37. What is i rounded to two dps? -0.21 Let v = 1554.09 + -1554.024201. Let n = v + -0.130741. Let x = n - -0.065. Round x to 5 decimal places. 0.00006 Suppose -5*v + 12 = -v. Suppose 0 = 3*h + 4*n - 5400016, 7*h - v*n - 7199988 = 3*h. Suppose h = -2*w + w. Round w to the nearest 1000000. -2000000 Let u(j) be the third derivative of -686111*j**4/4 - 2*j**3/3 - 7*j**2. Let g be u(6). Round g to the nearest 1000000. -25000000 Let r be (-10 - -10) + 2/(-2). Let j(x) = 33*x - 3. Let c be j(r). Round c to the nearest 10. -40 Let x = 2986790 - 2986824.000005. Let u = -34 - x. Round u to 5 decimal places. 0.00001 Let w = 162.72 + -171.573. What is w rounded to the nearest integer? -9 Let t(h) = -801*h - 5. Let k be t(-5). Suppose 42*l - k = 44*l. What is l rounded to the nearest one thousand? -2000 Let m = -16.461 - -3.291. What is m rounded to 0 dps? -13 Let p = 1174.001041 - 1174. Round p to 4 dps. 0.001 Let j = 0.37 + 33.23. Round j to zero decimal places. 34 Let o = -117.94838 + 117.14838089. Let r = o - -0.8. Round r to 6 decimal places. 0.000001 Let j = -16533.42085 + 16533. Let c = 0.18 + -0.6. Let b = c - j. Round b to four dps. 0.0009 Let y = 0.0037 - 46.2037. Let p = y - -46. What is p rounded to zero dps? 0 Let u be ((-10)/(-
{ "pile_set_name": "DM Mathematics" }
factors of 48349. 7, 6907 List the prime factors of 22098. 2, 3, 29, 127 List the prime factors of 7013. 7013 List the prime factors of 4270. 2, 5, 7, 61 What are the prime factors of 16561? 16561 List the prime factors of 1732. 2, 433 What are the prime factors of 5644? 2, 17, 83 What are the prime factors of 649? 11, 59 What are the prime factors of 20378? 2, 23, 443 What are the prime factors of 1665? 3, 5, 37 List the prime factors of 5759. 13, 443 List the prime factors of 2302. 2, 1151 What are the prime factors of 96692? 2, 23, 1051 What are the prime factors of 933? 3, 311 What are the prime factors of 35983? 35983 What are the prime factors of 32669? 7, 13, 359 What are the prime factors of 135018? 2, 3, 13, 577 What are the prime factors of 672? 2, 3, 7 List the prime factors of 2866. 2, 1433 What are the prime factors of 7946? 2, 29, 137 What are the prime factors of 33104? 2, 2069 List the prime factors of 10234. 2, 7, 17, 43 What are the prime factors of 2620? 2, 5, 131 List the prime factors of 1908. 2, 3, 53 List the prime factors of 30221. 47, 643 List the prime factors of 898. 2, 449 What are the prime factors of 33252? 2, 3, 17, 163 What are the prime factors of 4893? 3, 7, 233 What are the prime factors of 33499? 139, 241 List the prime factors of 2705. 5, 541 List the prime factors of 8950. 2, 5, 179 What are the prime factors of 944? 2, 59 What are the prime factors of 876? 2, 3, 73 What are the prime factors of 184? 2, 23 List the prime factors of 909. 3, 101 List the prime factors of 4924. 2, 1231 What are the prime factors of 6015? 3, 5, 401 List the prime factors of 12258. 2, 3, 227 What are the prime factors of 1134? 2, 3, 7 List the prime factors of 21978. 2, 3, 11, 37 List the prime factors of 51511. 51511 What are the prime factors of 949? 13, 73 List the prime factors of 4627. 7, 661 What are the prime factors of 960? 2, 3, 5 What are the prime factors of 19730? 2, 5, 1973 What are the prime factors of 1079? 13, 83 List the prime factors of 24624. 2, 3, 19 What are the prime factors of 3552? 2, 3, 37 List the prime factors of 2299. 11, 19 List the prime factors of 165451. 11, 13, 89 List the prime factors of 3889. 3889 What are the prime factors of 838? 2, 419 List the prime factors of 67915. 5, 17, 47 What are the prime factors of 7884? 2, 3, 73 What are the prime factors of 61? 61 List the prime factors of 373. 373 List the prime factors of 12409. 12409 What are the prime factors of 991? 991 List the prime factors of 202. 2, 101 List the prime factors of 28045. 5, 71, 79 List the prime factors of 37880. 2, 5, 947 List the prime factors of 1069. 1069 List the prime factors of 7481. 7481 List the prime factors of 19837. 83, 239 List the prime factors of 11999. 13, 71 What are the prime factors of 5371? 41, 131 What are the prime factors of 1487? 1487 List the prime factors of 12738. 2, 3, 11, 193 What are the prime factors of 110678? 2, 55339 What are the prime factors of 820? 2, 5, 41 What are the prime factors of 3312? 2, 3, 23 List the prime factors of 1755. 3, 5, 13 What are the prime factors of 416? 2, 13 What are the prime factors of 89? 89 What are the prime factors of 16811? 16811 What are the prime factors of 5030? 2, 5, 503 List the prime factors of 1987. 1987 List the prime factors of 386. 2, 193 List the prime factors of 556. 2, 139 List the prime factors of 270. 2, 3, 5 List the prime factors of 3335. 5, 23, 29 List the prime factors of 2999. 2999 List the prime factors of 10452. 2, 3, 13, 67 What are the prime factors of 31242? 2, 3, 41, 127 List the prime factors of 1330. 2, 5, 7, 19 What are the prime factors of 11582? 2, 5791 List the prime factors of 5540. 2, 5, 277 What are the prime factors of 1543? 1543 List the prime factors of 565. 5, 113 What are the prime factors of 36491? 7, 13, 401 What are the prime factors of 2476? 2, 619 List the prime factors of 9947. 7, 29 List the prime factors of 932. 2, 233 What are the prime factors of 67770? 2, 3, 5, 251 What are the prime factors of 7791? 3, 7, 53 What are the prime factors of 23355? 3, 5, 173 List the prime factors of 1736. 2, 7, 31 What are the prime factors of 327? 3, 109 List the prime factors of 79. 79 List the prime factors of 11737. 11, 97 List the prime factors of 45387. 3, 41 What are the prime factors of 460? 2, 5, 23 What are the prime factors of 132392? 2, 13, 19, 67 What are the prime factors of 682? 2, 11, 31 What are the prime factors of 1260? 2, 3, 5, 7 List the prime factors of 479. 479 What are the prime factors of 37696? 2, 19, 31 List the prime factors of 1003. 17, 59 List the prime factors of 11316. 2, 3, 23, 41 What are the prime factors of 11294? 2, 5647 List the prime factors of 40523. 7, 827 What are the prime factors of 32429? 32429 List the prime factors of 3343. 3343 What are the prime factors of 17911? 17911 What are the prime factors of 252? 2, 3, 7 List the prime factors of 15279. 3, 11, 463 List the prime factors of 1404. 2, 3, 13 What are the prime factors of 3337? 47, 71 What are the prime factors of 5244? 2, 3, 19, 23 What are the prime factors of 47537? 7, 6791 List the prime factors of 40142. 2, 20071 List the prime factors of 9011. 9011 List the prime factors of 4890. 2, 3, 5, 163 What are the prime factors of 3363? 3, 19, 59 List the prime factors of 3811. 37, 103 What are the prime factors of 23256? 2, 3, 17, 19 What are the prime factors of 967? 967 List the prime factors of 168606. 2, 3, 17, 19, 29 List the prime factors of 13484. 2, 3371 List the prime factors of 983. 983 List the prime factors of 25543. 7, 41, 89 List the prime factors of 132375. 3, 5, 353 List the prime factors of 6954. 2, 3, 19, 61 What are the prime factors of 58063? 31, 1873 List the prime factors of 4672. 2, 73 List the prime factors of 75136. 2, 587 List the prime factors of 3751. 11, 31 List the prime factors of 6011. 6011 List the prime factors of 6284. 2, 1571 What are the prime factors of 67967? 67967 List the prime factors of 4432. 2, 277 List the prime factors of 56703. 3, 41, 461 List the prime factors of 80098. 2, 29, 1381 List the prime factors of 20978. 2, 17, 617 What are the prime factors of 909? 3, 101 List the prime factors of 17051. 17, 59 What are the prime factors of 28552? 2, 43, 83 List the prime factors of 10831. 10831 List the prime factors of 1191. 3, 397 List the prime factors of 15773. 15773 What are the prime factors of 1186? 2, 593 What are the prime factors of 7273? 7, 1039 What are the prime factors of 1623? 3, 541 What are the prime factors of 24044? 2, 6011 List the prime factors of 4001. 4001 List the prime factors of 1581. 3, 17, 31 List the prime factors of 12739. 12739 List the prime factors of 1122. 2, 3, 11, 17 What are the prime factors of 35677? 35677 What are the prime factors of 660? 2, 3, 5, 11 What are the prime factors of 6002? 2, 3001 What are the prime factors of 1049? 1049 What are the prime factors of 155? 5, 31 What are the prime factors of 233? 233 What are the prime factors of 41? 41 What are the prime factors of 76627? 19, 37, 109 What are the prime factors of 9397? 9397 What are the prime factors of 314? 2, 157 What are the prime factors of 319? 11, 29 What are the prime factors of 6381? 3, 709 List the prime factors of 3599. 59, 61 What are the prime factors of 9363? 3, 3121 What are the prime factors of 119367? 3, 4421 List the prime factors of 7112. 2, 7, 127 List the prime factors of 161. 7, 23 What are the prime factors of 120253? 7, 41, 419 List the prime factors of 179. 179 List the prime factors of 294. 2, 3, 7 List the prime factors of 171015. 3, 5, 13, 877 What are the prime factors of 3358? 2, 23, 73 What are the prime factors of 950? 2, 5, 19 List the prime factors of 352. 2, 11 What are the prime factors of 17721? 3, 11, 179 List the prime factors of 1547. 7, 13, 17 What are the prime factors of 3554? 2, 1777 List the prime factors of 823. 823 List the prime factors of 97963. 163, 601 What are the prime factors of 6989? 29, 241 List the prime factors of 881. 881 List the prime factors of 32272. 2, 2017 What are the prime factors of 85798? 2, 42899 What are the prime factors of 8116? 2, 2029 List the prime factors of 78418. 2, 39209 List the prime factors of
{ "pile_set_name": "DM Mathematics" }
h is greater: b or a? a Let z(k) = -10*k**3 + 4*k**2 - 4*k + 6. Let a(m) = m**3 + m**2. Let g(x) = -a(x) + z(x). Let c be g(2). Is -78 != c? False Let s be (147/(-7) - -5)/(12/(-9)). Which is smaller: 2100 or s? s Let b = -359/169 - -1943/676. Let s(a) be the second derivative of -a**3/6 - a**2 - a. Let q be s(6). Which is greater: q or b? b Let p = -13082 + 287857/22. Is 2 at most as big as p? True Suppose -5*n + 42 + 3 = 4*a, 5 = 3*a - 2*n. Let v be 2/(-7 + 8) - -7. Let m be 15/v*4*(-6)/a. Is m != -11? True Let b = -10724 + 10728. Which is greater: -286 or b? b Let j be 6/((-24)/(-1)) + (17316/(-2512))/13. Is j at most 0? True Let k be 2/(-8) - (36/(-16) + 0). Let l(z) = -5*z**2 - 3*z**k - 32*z + 14 - 24*z + 4*z**2. Let p be l(-14). Is 15 less than or equal to p? False Let u be -1 + 0 + 2*(-6)/4. Let j be (u + 5)*-2 + 1. Let q be (-1)/5*-5*j. Is q != -3/7? True Suppose 52 - 262 = 5*h. Let d be (-2)/(-4)*h + -4. Let v be (-69)/d - (-1 - (-8 - -4)). Which is greater: 1 or v? 1 Let m = 2.024 + -3.024. Is -777 not equal to m? True Let z(w) = -2*w + 5. Let d be z(4). Let x be ((-42)/12)/(6/1440). Let m be ((-70)/x)/(1 + 65/(-63)). Which is greater: m or d? m Suppose -2*p = -16 - 62. Suppose 9 = -3*y + p. Let n = 72.9 + -72.7. Is y smaller than n? False Suppose 4 = 2*w - 32. Let k(q) = 2*q**2 - 12 + w + 5*q - q**2. Let v be k(-6). Which is greater: 62/5 or v? 62/5 Suppose 45618 = -4*c + 6*d, -7315 = -2*c + 5*d - 30126. Is -11403 at most as big as c? True Suppose 8353 = 3*k + 2*q, 0 = q + 1 + 3. Is k >= 2787? True Let r be (-1 - -2)/((-4)/(-8)). Let j(h) = h**3 - 15*h**2 + 2*h - 29. Let m be j(15). Let a be (m - -3) + (-88)/33. Is r > a? True Let q(c) = -10*c**2 - c + 40. Let s be q(0). Suppose s = 62*x - 58*x. Is 6 greater than x? False Let q(p) = 5653*p**2 + 1 - 5649*p**2 + 0 - 44*p. Let a be q(11). Is a at least -102? True Suppose 11*a + 16 = 5. Let i be 6 + a - (2 - -3). Are 4 and i equal? False Let b = -1.2 + 1.29. Let z(h) = 1245*h + 6218. Let i be z(-5). Which is smaller: b or i? i Let j = -1 - -1. Let b = 740 - 734. Suppose 2*w - b*w + 92 = j. Which is bigger: w or 24? 24 Let b = 3 - 0. Let g(l) = 15*l + 120. Let f be g(12). Let s = 293 - f. Which is smaller: s or b? s Let j be ((-328400)/1800)/(14/(-18)). Is 234 < j? True Suppose 0 = 3*w + 4*c - 17233, -8198 + 2443 = -w - 4*c. Which is smaller: 5740 or w? w Let o be 5 - 10/(-12)*-6. Let a = 474/37 + -158901/12395. Is o smaller than a? False Let z(s) = -2*s + 12. Let i be z(6). Let j = 1011911/369278 - 153/2029. Let q = -20/7 + j. Which is smaller: i or q? q Let h be 324/(-132) - (-5 - -3). Is -167 less than h? True Let a = -84 - -161. Let w = -6867.1 - -6867. Is a less than w? False Suppose 407 = 337*c - 348*c. Is -36 at least c? True Let r(w) = w**3 + 8*w**2 + 2*w. Let f be r(-7). Let a be ((-48)/72)/(-3 + 1). Is f at most a? False Let j(p) = p**3 - 34*p**2 + 168*p + 1. Let l be j(28). Let x be (3/20)/((-6)/1). Which is greater: l or x? l Let m(v) = -3*v**3 - 17*v**2 + 2*v - 13. Let z be m(-6). Let f(j) = 6*j - 1. Let u be f(2). Is u less than z? False Suppose 5*p = 17*z - 12*z - 10, -2*p = -4*z + 16. Suppose 14*g = 8*g - z. Is 17 greater than or equal to g? True Let j be (1121 + -1133)/(1/4 - 378/1448). Is 1088 smaller than j? False Let r(x) = -x - 1. Let y(c) = 12*c - 9. Let b(n) = -36*r(n) - 4*y(n). Let k be b(6). Which is greater: k or 1/291? 1/291 Let k(x) = -x**2 - 41*x - 6. Let u be k(-12). Suppose -9*t - u = -342. Is t less than 11/23? True Let v = -30703/165 - -1416/55. Which is smaller: -161 or v? -161 Let j be (687492/(-4732))/((-6)/(-28)). Which is bigger: -674 or j? -674 Let d = -972.2 - -972. Let r = -248 - -263.9. Which is bigger: r or d? r Let s = -224 - -249. Suppose -4*w = s - 113. Is w bigger than 29? False Let h = 12710.5 - 12999.074. Let l = -288 - h. Let u = -0.074 + l. Are -1/7 and u non-equal? True Let w = -4.9 + 5. Suppose 3*i - a = -6*a + 230, 5*a = 20. Suppose -2*p + 5*k = -5*p + i, -5*p + 80 = k. Which is smaller: w or p? w Let m be (198/154)/(12/308). Which is smaller: m or 37? m Let b be 1/2 - (-30)/(-12). Let v be 69/(-171) - b/3. Suppose -2*p - 10 = -5*i, -p = 4*i - 0 + 5. Is i at most v? True Let c(s) = 107*s**2 + 1. Let b be c(-1). Let o be (-17076)/b - (-1 + 24/27). Which is greater: o or -160? o Let u = -1618 - -1621. Is 96/55 smaller than u? True Suppose -4*y = l - 413, -2*y + l + 209 = 4*l. Which is smaller: y or 127? y Let r = 0.42 - 4.73. Let f = r + -11.09. Which is greater: -2/5 or f? -2/5 Let z be 1/2 - (-2)/(-8). Let y = 78 + 49. Let u = 128.3 - y. Which is bigger: z or u? u Let a be (7/7)/((-2)/6). Let b be ((81/(-12))/9)/a. Which is smaller: b or 5? b Let g = 4453487/3198946 - 387/278. Is g <= -1? False Let q = 2 - 1. Let p(m) = m**3 - 9*m**2 + 15*m + 23. Let j be p(5). Let x be (6/144*j)/q. Is -1 at least as big as x? False Let d = 19/3 + -7. Let u = 108.375 - 1.275. Let y = u - 110. Is d less than or equal to y? False Let z be ((-119)/952)/((-2)/(-24)). Is 1/429 at most as big as z? False Let f(o) = -3*o**2 - 94*o - 688. Let h be f(-19). Which is smaller: -111 or h? -111 Let t = -184 - -221. Let a = -184/5 + t. Are a and -123 equal? False Let h(g) = g**3 - 11*g**2 + 20*g - 16. Let l be h(8). Let z be ((-4)/(-3))/((-160)/l). Is z less than -6/5? False Let z(o) = 37*o + 447. Suppose k = -5*r - 3 + 16, 4*k = 4*r - 68. Let w be z(k). Which is smaller: -7 or w? -7 Let s be 40 + -40 - 22/(-2). Let c be (s + -11)/(2 + 2 + -2). Which is smaller: 2/67 or c? c Suppose -m + 2 = 5*n, -38*n + 33*n - 5*m + 10 = 0. Is 46/457 less than or equal to n? False Let t be (-4 - 2 - 38/(-38))/((-2)/74). Which is smaller: 186 or t? t Let k be 5/7 - (-10)/35. Let h be (108/567)/(534/21). Which is bigger: k or h? k Let v(x) = -2*x**3 - x**2 - 16*x + 31. Let m be v(6). Let q = -533 - m. Is q bigger than 5/261? False Let c(t) = t**2 + 95*t - 194. Let k be c(-97). Is -2/27017 less than k? True Let z = 6 - 4. Suppose -z*q - 24 = -5*q - 5*s, 0 = 4*q + s - 32. Suppose -4*m + q = -a, -3*a + a - 8 = -4*m. Are 0.6 and m equal? False Let h = 10598/23805 + -2/2645. Is h bigger than 15? False Let t(s) = -130*s - 4289. Let f be t(-33). Are -13/102 and f equal? False Let j = 3016 + -3016.2264. Which is smaller: j or 0.1? j Let a be 1/2 - 3/((-60)/50). Suppose 5*s - 3*s - 5*n + 1492 = 0, 0 = -a*s + 3*n - 2256. Which is smaller: -755 or s? s Let u be 33/(-11) + (14 - 4) + -5. Is u at most as big as 13/12? False Suppose 42 = 24*o - 17*o. Let x be 248/12*-3 + o. Let f be ((-110)/8 + 0)*4. Which is bigger: x or f? f Suppose -z = a + 2, -2*a - 17*z + 18*z = -2. Which is smaller: a or -4/2305? -4/2305 Let d(a) = -2*a**2 - 19*a - 10. Let v be d(-10). Let o be v/6*3/16. Let y be (-24)/108 - (-2)/9. Does y = o? False Suppose 0 = 132*v + 828 + 5640. Let i be (75/6)/((-1)/4). Are i and v non-equal? True Suppose 64*k - 65*k + 14 = 3*y, y + 2 = k. Is y less than or equal to -35/12? False Suppose 49 = 5*d + 4*i + 15, -i = -6. Which is smaller: 109/88 or d? 109/88 Suppose 17*r - 12*r = 2*f + 17, -3*f - 3 = 0. Is -93 greater than r? False Suppose 0 = 16*z - 5*z - 9*z - 4. Which is greater: 1 or z? z Let p = -5690 - -1177828/207. Which is smaller: 0 or p? p Let a be -2 - (6 + -8 + 5). Suppose 2*d - 24 = -36. Which is smaller: d or a? d Let l(u) = -63*u - 1576. Let h be l(-25). Does h = -9/233? False Suppose -5*c = -2*c - 12. Let x be (2 + -4)/(c/(-10)). Suppose 25*k + 4 = y + 21*k, 0*k + 5*k = 0. Is y >= x? False Let u be (-114 + 117)*7/(29778/(-4)). Let i be -3*(1 - -1)/(-6). Is u less than or equal to i? True Suppose -25703 + 47446 + 87649 = 172*k. Is k less than 629? False Suppose -5*o + 3*y - 2*y + 43 = 0, 4*y + 1 = o. Let z be ((-15)/o)/(-4 - (-61)/15). Which is smaller: -27 or z? -27 Let k be 1/(9/2) + 63517/(-342). Let g = 27087/146 + k. Is g greater than -0.2? True Suppose 2304 = -102*x + 96*x. Is x bigger than -2682/7? False Let k = 1.55 - 1.673. Let d = -0.123 - k. Which is smaller: d or 3/167? d Let h = 0.3043 - 0.2043. Let n = -16 - 2.1. Which is smaller: h or n? n Suppose 16 = -5*u + 176. Let z be 47/(-2*(-28)/u). Let b = z - 1122/35. Is b less than -4? True Suppose -2*w = 4*v - 18, -3*v + 2*w + 33 = -3*w. Let p be (3652/28 - 3)/(v/15). Let m = 322 - p. Which is greater: m or 3? m
{ "pile_set_name": "DM Mathematics" }
ob of picking 2 d and 2 q? 7/340 Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {s: 3, b: 4, l: 8, f: 3, i: 1}. 8/57 What is prob of picking 1 m and 2 n when three letters picked without replacement from njlnlnnnjnnnlmnjjjnn? 11/228 What is prob of picking 1 w, 1 t, and 1 k when three letters picked without replacement from skxsstsswxsxxxwxstx? 4/969 Three letters picked without replacement from sruupuunnpupuup. What is prob of picking 1 p and 2 u? 12/65 Two letters picked without replacement from bgcgb. Give prob of picking 1 b and 1 c. 1/5 What is prob of picking 1 t and 2 s when three letters picked without replacement from {t: 4, s: 15}? 140/323 Two letters picked without replacement from qqvggmrxvxxggvg. What is prob of picking 2 v? 1/35 What is prob of picking 3 w when three letters picked without replacement from {d: 5, p: 4, w: 3}? 1/220 Three letters picked without replacement from {v: 2, j: 3}. What is prob of picking 3 j? 1/10 Two letters picked without replacement from lkffknrnlbkfnnk. What is prob of picking 2 n? 2/35 Three letters picked without replacement from {w: 6, t: 6}. Give prob of picking 2 w and 1 t. 9/22 Two letters picked without replacement from rurrzucuur. Give prob of picking 1 c and 1 r. 4/45 Four letters picked without replacement from ybujdyjbbyjjojy. Give prob of picking 2 b, 1 j, and 1 y. 4/91 Two letters picked without replacement from nnanfnnnajnfjfjjj. What is prob of picking 1 n and 1 a? 7/68 Calculate prob of picking 1 n and 2 t when three letters picked without replacement from nnunctunnddtnddncnu. 8/969 Three letters picked without replacement from {p: 14, a: 4}. What is prob of picking 1 a and 2 p? 91/204 Four letters picked without replacement from {s: 4, z: 2, j: 1, p: 2, h: 1}. Give prob of picking 1 s, 2 p, and 1 z. 4/105 What is prob of picking 1 a and 1 m when two letters picked without replacement from {a: 7, m: 6}? 7/13 Four letters picked without replacement from {i: 16, t: 4}. Give prob of picking 3 t and 1 i. 64/4845 Calculate prob of picking 3 f and 1 l when four letters picked without replacement from {f: 4, l: 2}. 8/15 What is prob of picking 1 k and 2 f when three letters picked without replacement from {k: 1, n: 9, f: 10}? 3/76 What is prob of picking 3 d and 1 n when four letters picked without replacement from dnddddddddddddddddd? 4/19 Four letters picked without replacement from {d: 7, r: 2, e: 1, m: 8}. Give prob of picking 2 r, 1 m, and 1 e. 2/765 Two letters picked without replacement from ddddddddzddddzddddd. What is prob of picking 2 z? 1/171 What is prob of picking 3 f when three letters picked without replacement from zzfzzzzzzzffzzzzzzzz? 1/1140 Calculate prob of picking 1 n, 2 j, and 1 z when four letters picked without replacement from jizjnijinizi. 4/165 Calculate prob of picking 1 g and 1 q when two letters picked without replacement from {x: 2, f: 1, g: 1, d: 1, q: 1, h: 1}. 1/21 Calculate prob of picking 2 n and 1 s when three letters picked without replacement from {y: 3, n: 6, s: 1, w: 3}. 15/286 What is prob of picking 3 o and 1 a when four letters picked without replacement from {a: 5, o: 3, h: 4}? 1/99 What is prob of picking 1 x, 1 l, and 1 i when three letters picked without replacement from ivlxvwl? 2/35 Calculate prob of picking 1 u and 1 l when two letters picked without replacement from {l: 1, u: 1, t: 2, n: 3, b: 4, s: 1}. 1/66 Calculate prob of picking 1 w and 3 i when four letters picked without replacement from iihihhhihhhihiwwvh. 2/153 Three letters picked without replacement from {k: 1, z: 1, p: 1, q: 2}. What is prob of picking 1 z and 2 q? 1/10 Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {z: 2, h: 5, x: 2, v: 1, t: 3, m: 6}. 4/57 Calculate prob of picking 2 b when two letters picked without replacement from {x: 3, b: 2, d: 2, f: 4, n: 6}. 1/136 Calculate prob of picking 1 y and 3 d when four letters picked without replacement from dyyddddydy. 8/21 Calculate prob of picking 1 f, 1 y, and 1 s when three letters picked without replacement from ooyosff. 2/35 What is prob of picking 1 g and 1 d when two letters picked without replacement from {t: 4, d: 2, g: 3, h: 6}? 2/35 Four letters picked without replacement from {p: 11, w: 1, r: 2}. What is prob of picking 1 w and 3 p? 15/91 Two letters picked without replacement from iueet. Give prob of picking 1 e and 1 t. 1/5 Two letters picked without replacement from {d: 4, z: 3}. What is prob of picking 1 z and 1 d? 4/7 What is prob of picking 1 k, 1 q, and 2 a when four letters picked without replacement from qiaqkqkkaq? 2/35 Calculate prob of picking 3 k when three letters picked without replacement from qqqqqkqkqqqkquqqq. 1/680 Calculate prob of picking 2 z and 2 p when four letters picked without replacement from {z: 7, p: 5}. 14/33 Three letters picked without replacement from {z: 3}. Give prob of picking 3 z. 1 What is prob of picking 1 l, 2 n, and 1 y when four letters picked without replacement from slndnnnlnylnnlylnqln? 144/1615 Calculate prob of picking 2 u when two letters picked without replacement from wugguwwgw. 1/36 Two letters picked without replacement from mljlljjlllllmmlm. Give prob of picking 1 l and 1 m. 3/10 Two letters picked without replacement from zzzzzz. Give prob of picking 2 z. 1 What is prob of picking 1 h and 2 o when three letters picked without replacement from jhoox? 1/10 What is prob of picking 2 r when two letters picked without replacement from jrrd? 1/6 Three letters picked without replacement from {y: 3, e: 5, c: 2, j: 3, v: 3}. What is prob of picking 1 y, 1 c, and 1 j? 9/280 Three letters picked without replacement from tijcqtj. Give prob of picking 1 t, 1 q, and 1 j. 4/35 What is prob of picking 2 t when two letters picked without replacement from {i: 5, p: 4, t: 2}? 1/55 What is prob of picking 2 f when two letters picked without replacement from fff? 1 Two letters picked without replacement from alaaaaalalaaalla. Give prob of picking 2 a. 11/24 Two letters picked without replacement from wqqtqas. Give prob of picking 1 t and 1 w. 1/21 Three letters picked without replacement from iyyyyyyiyiyyiyiyyyi. What is prob of picking 3 y? 286/969 Two letters picked without replacement from {s: 2, e: 3, u: 6, t: 1}. Give prob of picking 1 e and 1 t. 1/22 Three letters picked without replacement from okokokooooo. What is prob of picking 3 k? 1/165 What is prob of picking 2 n when two letters picked without replacement from {b: 3, d: 1, n: 3, m: 3, t: 2, e: 1}? 1/26 Calculate prob of picking 1 b and 1 z when two letters picked without replacement from aabfafbnazqf. 1/33 Two letters picked without replacement from qssqsix. Give prob of picking 1 i and 1 x. 1/21 Four letters picked without replacement from {d: 5}. Give prob of picking 4 d. 1 Three letters picked without replacement from {e: 5, n: 3, b: 1, g: 3, w: 1, h: 1}. What is prob of picking 1 w, 1 h, and 1 b? 1/364 Four letters picked without replacement from {s: 1, j: 3, l: 1, c: 1, a: 5}. Give prob of picking 1 a, 1 j, 1 l, and 1 s. 1/22 Calculate prob of picking 3 b and 1 v when four letters picked without replacement from {b: 5, v: 7}. 14/99 What is prob of picking 1 w, 1 m, and 2 u when four letters picked without replacement from {w: 1, o: 3, c: 3, t: 2, u: 3, m: 3}? 3/455 Four letters picked without replacement from ggggsgggigg. What is prob of picking 1 s and 3 g? 14/55 Calculate prob of picking 3 d when three letters picked without replacement from uxlxddyddwddx. 10/143 Two letters picked without replacement from iwaio. Give prob of picking 1 o and 1 w. 1/10 What is prob of picking 1 c and 1 o when two letters picked without replacement from {b: 2, i: 2, m: 1, c: 1, o: 1, y: 1}? 1/28 Three letters picked without replacement from kkkkkkkkkk. What is prob of picking 3 k? 1 Three letters picked without replacement from cssvcsscxsscs. Give prob of picking 1 s and 2 c. 21/143 Three letters picked without replacement from {t: 1, x: 3, f: 1, m: 1, p: 7}. What is prob of picking 1 p, 1 t, and 1 m? 7/286 Four letters picked without replacement from tttttttttt. What is prob of picking 4 t? 1 Two letters picked without replacement from {g: 2,
{ "pile_set_name": "DM Mathematics" }
ur letters picked without replacement from {f: 2, j: 1, p: 3, g: 1, d: 7}? 1/4004 Two letters picked without replacement from qqpvvprppqpqkvvvqqqf. Give prob of sequence fq. 7/380 Three letters picked without replacement from {k: 5, q: 9, g: 1, s: 3}. What is prob of sequence skk? 5/408 Four letters picked without replacement from jhhnhjh. Give prob of sequence hnhh. 1/35 Calculate prob of sequence kkk when three letters picked without replacement from hehuekffekkfhhhfhhf. 1/969 What is prob of sequence ck when two letters picked without replacement from {c: 1, k: 3}? 1/4 What is prob of sequence ic when two letters picked without replacement from {i: 15, c: 4}? 10/57 Four letters picked without replacement from {u: 2, t: 2}. Give prob of sequence tutu. 1/6 Two letters picked without replacement from {x: 1, p: 3, z: 1, k: 1, i: 1}. Give prob of sequence kz. 1/42 Calculate prob of sequence flzz when four letters picked without replacement from {h: 2, l: 4, f: 2, w: 2, z: 2}. 2/1485 What is prob of sequence kpc when three letters picked without replacement from zzczckqcqqqiqcqp? 1/840 Two letters picked without replacement from pzjlllplfpf. Give prob of sequence fp. 3/55 Calculate prob of sequence ne when two letters picked without replacement from uowenua. 1/42 What is prob of sequence si when two letters picked without replacement from iddgtsgdd? 1/72 What is prob of sequence ij when two letters picked without replacement from {o: 2, i: 1, j: 6, r: 2}? 3/55 Three letters picked without replacement from xxxnnnnxnxnn. Give prob of sequence nnx. 7/44 Three letters picked without replacement from izzzznpri. What is prob of sequence pzz? 1/42 Three letters picked without replacement from {j: 2, c: 1, n: 2, g: 3, a: 4}. What is prob of sequence jjn? 1/330 Four letters picked without replacement from mzbbbmkbgzbkkbkgmkgb. What is prob of sequence kbgk? 7/1938 Two letters picked without replacement from szzzzsz. What is prob of sequence sz? 5/21 Two letters picked without replacement from {d: 2, p: 2}. What is prob of sequence dp? 1/3 Calculate prob of sequence kktk when four letters picked without replacement from {k: 13, t: 3}. 33/280 What is prob of sequence nmj when three letters picked without replacement from mnnnjntq? 1/84 Four letters picked without replacement from {v: 1, z: 5, c: 2, n: 2, e: 2, y: 1}. What is prob of sequence evzy? 1/1716 Calculate prob of sequence egq when three letters picked without replacement from lqelgtta. 1/336 What is prob of sequence fafa when four letters picked without replacement from ggfagfuggfggggag? 1/3640 Four letters picked without replacement from dgkyads. What is prob of sequence sdka? 1/420 Two letters picked without replacement from yyjyymyxm. What is prob of sequence xj? 1/72 Calculate prob of sequence ttu when three letters picked without replacement from uuuttuttuuuuuuuutu. 65/1224 What is prob of sequence dkd when three letters picked without replacement from dkkkdd? 3/20 Four letters picked without replacement from xxkkreprrpxkxk. Give prob of sequence prkr. 2/1001 Three letters picked without replacement from {o: 5, i: 3, x: 1, q: 4, u: 1, n: 4}. Give prob of sequence oxo. 5/1224 Three letters picked without replacement from lzllz. What is prob of sequence lll? 1/10 What is prob of sequence pds when three letters picked without replacement from sdwddpddw? 5/504 Calculate prob of sequence yd when two letters picked without replacement from jjjljjdyjjyjj. 1/78 Four letters picked without replacement from bebubkuuukduubue. What is prob of sequence beke? 1/2730 Two letters picked without replacement from fzzpfzfzzffffzzzf. Give prob of sequence fp. 1/34 Two letters picked without replacement from iiikccc. Give prob of sequence ik. 1/14 Three letters picked without replacement from {z: 7, d: 3, m: 1, r: 6}. Give prob of sequence rzz. 21/340 Two letters picked without replacement from {h: 11, c: 3}. Give prob of sequence ch. 33/182 Three letters picked without replacement from ggggcgggcggggggccggg. What is prob of sequence ccg? 8/285 Three letters picked without replacement from dvkvkxxuvxydxvvxv. What is prob of sequence yxx? 1/204 Calculate prob of sequence mmv when three letters picked without replacement from mvhhhohmhhhhmoohhomm. 1/342 Two letters picked without replacement from ppdpddxpdppxp. What is prob of sequence xd? 2/39 What is prob of sequence ef when two letters picked without replacement from ffeeeeeee? 7/36 Three letters picked without replacement from rrbkrrddrbr. Give prob of sequence bdd. 2/495 What is prob of sequence vvvm when four letters picked without replacement from {v: 5, m: 3, z: 1}? 5/84 Two letters picked without replacement from {n: 4, x: 1, u: 2}. What is prob of sequence xu? 1/21 Four letters picked without replacement from {n: 8, h: 2, v: 9}. Give prob of sequence vvnv. 14/323 What is prob of sequence mimi when four letters picked without replacement from {m: 5, v: 1, s: 3, i: 4}? 2/143 What is prob of sequence dv when two letters picked without replacement from ddavppddvddddsppd? 9/136 Two letters picked without replacement from {f: 2, a: 7, e: 1}. What is prob of sequence fe? 1/45 Three letters picked without replacement from llllllllll. Give prob of sequence lll. 1 Two letters picked without replacement from oyiiiiyyiiiiyyyyy. Give prob of sequence ii. 7/34 Two letters picked without replacement from {v: 1, d: 1, x: 2}. What is prob of sequence xd? 1/6 Calculate prob of sequence jv when two letters picked without replacement from vfjjfvffjjjvjjjjjjjj. 39/380 What is prob of sequence qq when two letters picked without replacement from {n: 2, q: 6}? 15/28 Calculate prob of sequence hv when two letters picked without replacement from hthhhhtgvthtghthth. 1/34 What is prob of sequence qsk when three letters picked without replacement from xvkquvqs? 1/168 Four letters picked without replacement from {h: 1, o: 5, e: 3, i: 6, k: 1, y: 4}. Give prob of sequence ihiy. 1/969 Four letters picked without replacement from dddd. Give prob of sequence dddd. 1 What is prob of sequence tq when two letters picked without replacement from tqharhr? 1/42 Four letters picked without replacement from {b: 1, e: 3}. Give prob of sequence eebe. 1/4 What is prob of sequence wv when two letters picked without replacement from wvvwwwwv? 15/56 Calculate prob of sequence hb when two letters picked without replacement from {g: 2, h: 1, b: 2, d: 1, f: 1}. 1/21 What is prob of sequence aa when two letters picked without replacement from {o: 4, v: 1, h: 5, a: 2, s: 4}? 1/120 Three letters picked without replacement from rrrffrf. Give prob of sequence ffr. 4/35 Two letters picked without replacement from {c: 1, f: 6, t: 1, i: 2, e: 5}. What is prob of sequence ce? 1/42 Four letters picked without replacement from {t: 2, h: 2, f: 2}. What is prob of sequence hfht? 1/45 Calculate prob of sequence bzz when three letters picked without replacement from zpbzbbzzz. 5/42 Four letters picked without replacement from rjofrodfz. What is prob of sequence djfr? 1/756 Calculate prob of sequence ppp when three letters picked without replacement from {j: 3, p: 4}. 4/35 Calculate prob of sequence hhhr when four letters picked without replacement from hhhhhrhrhrhhhhh. 11/91 Calculate prob of sequence sshs when four letters picked without replacement from shshshs. 3/35 Two letters picked without replacement from {l: 4, b: 14}. Give prob of sequence ll. 2/51 Four letters picked without replacement from {i: 1, r: 3, m: 2, q: 4}. What is prob of sequence rimm? 1/840 Three letters picked without replacement from rrrrrbbrbrrrrrbrbrr. What is prob of sequence rbb? 140/2907 Four letters picked without replacement from {n: 2, k: 5}. Give prob of sequence kknn. 1/21 What is prob of sequence ec when two letters picked without replacement from {q: 9, c: 3, v: 3, g: 2, l: 1, e: 2}? 3/190 Calculate prob of sequence eecy when four letters picked without replacement from chechcyeheccc. 3/1430 What is prob of sequence dq when two letters picked without replacement from {d: 7, q: 2, y: 1}? 7/45 Calculate prob of sequence jiij when four letters picked without replacement from {i: 5, j: 9}. 60/1001 Four letters picked without replaceme
{ "pile_set_name": "DM Mathematics" }
+ c*o**2 + a + m*o and give a. -2 Express (-8*l + 162 - 162)*(-5 - 6 + 0) in the form u*l + b and give u. 88 Rearrange -50 + 50 - 51*h**2 to w*h**2 + r*h + b and give w. -51 Express -3*h**4 - 167*h**2 - 4*h**4 + 6*h**4 + 157*h**2 - 1 - 2*h**3 as g*h + v*h**4 + k + d*h**3 + t*h**2 and give k. -1 Express (17 - 17 - 12*u**2)*(-4*u + 4*u + 2 - u) as i*u**2 + f*u + d*u**3 + c and give i. -24 Rearrange -3*q**2 + q + q**2 + 8*q**2 - 4*q**2 to a + m*q + g*q**2 and give m. 1 Express -8*l**2 + 15*l**2 - 2 + 5 in the form u*l**2 + n + m*l and give u. 7 Express (-15*k + 25*k - 18*k)*((k**2 - 2*k**2 + 0*k**2)*(0 - 2*k + 0) + 3*k**3 - 6*k**3 + 4*k**3) as l*k**3 + q + r*k**2 + i*k**4 + z*k and give i. -24 Express -3*v - 3*v**2 + 3*v + (2*v + 0*v - v)*(v - 3 + 3) + 27*v - 27*v - 8*v**2 in the form q*v + s*v**2 + g and give s. -10 Rearrange -2 - 126*a**3 + 0*a**4 + 124*a**3 + 2*a + a**4 to q*a + r + h*a**4 + k*a**2 + i*a**3 and give h. 1 Express ((-2 + 2 - s)*(3 - 3 + 2) - 6*s + 3*s + s)*(s**2 + 2*s**2 - s**2) - s**3 + 4*s**3 + 4*s**3 in the form v*s + g*s**3 + q*s**2 + a and give g. -1 Express -27*i - 18 + 27*i + i**3 + 4 as b*i**2 + p + m*i**3 + l*i and give p. -14 Rearrange m**2 - 9 - 2*m - 2*m - 6*m + 10 to the form w + d*m**2 + j*m and give j. -10 Rearrange -4*r + 0*r + 11*r to the form x*r + q and give x. 7 Rearrange -34 + 20 + 12*n**4 + 2*n**3 + 15 to c*n**3 + z*n + l*n**2 + q + f*n**4 and give q. 1 Express (-2*f**2 + 2*f**2 + 2*f**2)*(-9*f - 29*f - 45*f - 60*f) in the form j*f**2 + n*f**3 + d + o*f and give n. -286 Rearrange (10 - 29 + 8)*(0*c + 2*c + c) to g + w*c and give w. -33 Express -v + v + 2*v**4 + 60*v**3 - 60*v**3 - 21*v**4 + (-v + v + 2*v)*(-4 - v**3 + 4) as z*v**3 + r*v**4 + m*v**2 + y + x*v and give r. -21 Express (-4 + 4 + i**2)*(2*i - 2*i + i + (-2 + 0 + 1)*(-i - 3 + 3) + 3*i - 3*i + i - i + 2*i - 3*i) as n*i + d*i**2 + g + a*i**3 and give a. 1 Rearrange (-12 - 112 + 14)*(-4*y + 4*y + 2*y) to v + k*y and give k. -220 Express (4 - 2 - 1)*(0*k**4 + 0*k**4 - k**4) + (0*k - 2*k**3 + 0*k)*(-k - 6*k + 4*k) as t*k**4 + i*k**2 + q*k**3 + z + o*k and give z. 0 Express -12 + 310*l + l**2 - 157*l - 153*l as t*l + f + b*l**2 and give b. 1 Rearrange v + 6 - 58*v**2 - 3 + 5*v**3 + 58*v**2 to i*v + m + h*v**3 + f*v**2 and give h. 5 Rearrange (2 + 3*m - m + 0*m)*(-4*m**3 - 2*m**3 + 2*m**3) to q*m**4 + n*m + w*m**2 + i + f*m**3 and give q. -8 Rearrange ((-6 + 6 + 4*w)*(0*w**2 + 0*w**2 + 3*w**2) + w - w - w**3)*(-w - 3*w + 5*w) to the form g*w + m*w**4 + v + r*w**2 + q*w**3 and give m. 11 Rearrange (3*d + d - 3*d)*(-1 + 2 + 0) - 1 - 4*d + 1 - d - 2*d - 6*d to t*d + q and give t. -12 Express -39*w - 14*w + 9*w in the form v + o*w and give o. -44 Rearrange (-20*o**3 - 13 + 13)*(-5*o + 4*o + 0*o) to w*o + s + k*o**2 + t*o**4 + i*o**3 and give t. 20 Express -10*x + 7*x + 8*x as t*x + a and give t. 5 Rearrange -11 - 5*b**3 + 5*b**3 - b**3 to k*b + u*b**2 + v + m*b**3 and give m. -1 Express -10*j**4 - 3*j**2 + 0*j + j + 8*j**4 + j**3 + 0*j as d*j**2 + m + c*j**3 + o*j**4 + p*j and give o. -2 Rearrange 0*o + 2*o - o + (2*o + 1 - 1)*(-1 - 3 + 3) - o + 1 - 1 + (-1 + 1 - o)*(-6 + 3 + 2) to the form u*o + j and give j. 0 Rearrange (58 - 23*a**2 - 58)*(-1 - 4 + 3)*(2 - 4 + 3) to the form c*a + s + w*a**2 and give w. 46 Rearrange (-14*r + 5*r + 2 + 0)*(4 - 6 + 0)*(r**2 - 3 + 3) to the form l*r**3 + m*r**2 + z*r + c and give z. 0 Express 2869 - 2869 - 95*a as x + c*a and give c. -95 Express ((-2 + 1 - 1)*(2 + c - 2) + (-2*c - 3*c + 2*c)*(-1 + 1 + 2))*(0 + 0 + 3) in the form d*c + m and give d. -24 Rearrange (f + 9*f - 4*f)*(4*f - 4*f - 2*f + (-1 + 8 - 3)*(f - 2*f - f)) to z*f + n*f**2 + d and give n. -60 Rearrange 3*w + w + 0*w - 6*w to z + r*w and give z. 0 Rearrange -9*o**2 - 4*o**3 + 9*o**2 + (o - o - 2*o)*(-o - o**2 + o) - 5*o**2 + 5*o**2 + 3*o**3 to w*o**3 + t*o + u + p*o**2 and give w. 1 Rearrange (-1 + 3*u + 1)*(-8 + 8*u**2 + 8) to j + t*u + d*u**2 + h*u**3 and give h. 24 Express -2*h - 7 + h**3 + 0*h**4 + 2*h**3 + 4 + h**4 as r*h**3 + v*h + g*h**2 + o + y*h**4 and give o. -3 Express 19*r**2 - 4*r**2 - 3 + 5 as g + v*r + a*r**2 and give a. 15 Express (5*x + 3*x + x)*((1 - 3 + 3)*(-2 - 1 + 2) + 3 - 3 + 5 - 4 + 0 + 2 + 2 + 0 - 1 + 0 + 0 + 2 + (2 + 0 - 1)*(-2 + 1 + 3)) in the form r + i*x and give i. 63 Express -8*y**2 + y**4 - 2*y**3 - 12*y**2 + 18*y**2 - 4*y - 2 as q*y**3 + x + t*y + d*y**2 + r*y**4 and give x. -2 Rearrange -87*w + 181*w + 68*w to the form l + h*w and give h. 162 Express -1 - 4 - 27*n + 5 as o*n + z and give o. -27 Rearrange -3*m - 8*m + 0*m**2 - 2*m**2 to g*m**2 + t*m + c and give g. -2 Rearrange 2*q**3 - 4*q - 2 + 2 - q - q**4 to the form u*q**2 + z*q + d*q**4 + f + w*q**3 and give w. 2 Express (v**2 - 3*v**2 - 2*v**2)*(15*v - 95 + 95) in the form f + w*v + h*v**3 + l*v**2 and give h. -60 Rearrange -3 + 4 - 11*y**2 + 0 to the form f*y**2 + u + s*y and give f. -11 Express (-3*q + 3*q - 2*q)*(2*q - 4*q - 2*q)*(4 - 4 + 3*q**2) as u*q + g*q**4 + w + z*q**2 + l*q**3 and give g. 24 Express (9*a - 5*a + 3*a)*(-a + a - a) + (-4*a - 3*a + 5*a)*(-6*a - 17*a + 3*a) as x*a + q + y*a**2 and give y. 33 Express -4*t**2 - 1 + 15*t - t**3 - 31*t + 14*t as h + y*t**2 + z*t**3 + x*t and give y. -4 Rearrange (63 - 96 - 91 - 26)*(-3*h + 4*h + h) to the form s*h + a and give s. -300 Express (2*m + 0*m - 4*m)*(-3*m + 5*m - 3*m) + m**2 + 2*m**2 - 4*m**2 + (5 - 4 - 4)*(5*m**2 - m**2 - m**2) in the form h*m**2 + i + a*m and give h. -8 Rearrange -2*j**2 - 9*j**2 - 18*j**2 + (0 + 0 - j**2)*(-7 - 1 + 5) to the form q*j**2 + b + f*j and give q. -26 Rearrange (2320 - 172*g - 2320)*(-2*g + 6*g - 3*g) to x*g**2 + s + o*g and give x. -172 Rearrange 315 - 315 - 130*o to t + w*o and give w. -130 Rearrange 1 - 2*a**2 + 1 - a**4 - 2*a + 5*a**4 - 3 to the form x*a**2 + m + v*a**3 + c*a**4 + d*a and give m. -1 Rearrange 3*s - 10*s - 2*s to the form h*s + c and give h. -9 Rearrange 0*q**2 + q + 5*q**2 - q**2 to the form z + c*q**2 + r*q and give z. 0 Rearrange (3 + x**2 - 3)*(-649 - 19*x + 649) to b*x**3 + a*x**2 + g + m*x and give b. -19 Rearrange 2 - 6*i - 33*i - 2 to q + y*i and give y. -39 Rearrange 66*a - 2*a**2 + a**3 + 1 - 70*a - 2*a**3 to o*a + p*a**2 + v*a**3 + u and give o. -4 Rearrange 129 + d**3 + 5*d - 129 to the form j + r*d**3 + q*d**2 + o*d and give r. 1 Rearrange 132*v**2 + 0*v - 141*v**2 + v to w*v**2 + i + t*v and give w. -9 Rearrange (2*h**2 + h**2 - 2*h**2)*((-4*h + 5*h + 0*h)*(4 - 3 - 3) - h - 3*h + 3*h + 3*h + h - 3 - 5*h) to the form u*h + m*h**3 + w + p*h**2 and give w. 0 Express 43*b**2 + 0*b - 37*b**2 - 3 + 0*b as k*b + z + f*b**2 and give z. -3 Rearrange (3*m**3 - 6*m**3 + 5*m**3)*(-1 + 2 - 2) - m + 15*m**3 - 19*m**3 + 0*m to the form u + o*m**3 + q*m + t*m**2 and give q. -1 Express r + 2*r**2 + 2*r + 0*r**2 + 0*r**2 in the form q*r + y*r**2 + n and give q. 3 Rearrange -4*x**4 - 2*x + 6*x**3 - x**2 - 4*x**3 + 2 + 6*x**4 to i*x**4 + m + f*x + u*x**2 + l*x**3 and give l. 2 Rearrange -231*x + 57*x + 127 - 127 to the form s + g*x and give s. 0 Rearrange (i - 5*i + 2*i)*(-4*i + 5*i - 2*i)*(-1235 - 138*i + 1235) to f*i**3 + a*i + m + n*i**2 and give f. -276 Rearrange (0 - b + 0)*(2*b - 2 + 2) - b**2 - 3*b**2 + 3*b**2 to the form d*b**2 + f + t*b and give t. 0 Express (2*w + 1 - 1)*(-4 - 3 - 1) + 1 + w - 1 as c*w + p and give c. -15 Express (0*b**2 - 3*b**2 + 5*b**2)*(-3 + 0 + 2)*(20*b**2 - 15*b**2 + 6*b**2) in the form v*b**4 + t*b + c*b**3 + q + a*b**2 and give v. -22 Express (-2*m + 2 - 2)*(10*m + 6 - 6)*(2*m**2 - 4*m**2 + 3*m**2) in the form u + g*m**4 + d*m + a*m**3 + y*m**2 and give d. 0 Express (c**2 - c**2 - 2*c**2)*(-5*c - 2*c + 2*c) + c**2 - 7*c - 4*c**3 + 12*c - 6*c in the form m + v*c**2 + a*c**3 + u*c and give a. 6 Express 7*k**2 - 4*k**2 - 15*k**2 as t*k**2 + s*k + b and give t. -12 Rearrange -1339*z**4 - 3*z + 0*z**3 + 1340*z**4 + 5 + z**3 to the form f*z + y*z**3 + a + n*z**4 + x*z**2 and give n. 1 Rearrange (-4 + 3 + 0)*(0*q + q - 7*q) - 11*q + q + 5*q + (3 - 6 + 4)*(q + 4 - 4) to n + a*q and give a. 2 Rearrange 0*q**4 - q**2 - 29*q - 3*q**4 + 15*q - q to the form k + r*q + u*q**2 + s*q**3 + w*q**4 and give u. -1 Express -7*r**3 + 3*r**4 + 3*r + 0*r - 5*r**2 + 6*r**3 as c*r + n*r**2 + i*r**3 + p + a*r**4 and give i. -1 Express 25 - 25 + 2*c
{ "pile_set_name": "DM Mathematics" }
(a). 7 Let k be (-25296)/(-68) + 0 + 1. Suppose -k*f - 4 = -371*f. Let u(l) = 4*l**2 + l**3 - 2 - 3*l + 5*l + 0. What is u(f)? 2 Let x(c) be the second derivative of c**4/12 - 11*c**3/6 - 3*c**2/2 + 36*c. Let s be ((-186)/36 - -7)/((-2)/(-12)). What is x(s)? -3 Let x(w) = 6*w**2 - 7*w**2 + 912 - 876 - 13*w. Determine x(-16). -12 Let w(q) be the third derivative of 111*q**2 + 1/6*q**3 - 3/10*q**5 + 0*q + 0 + 1/24*q**4. What is w(-1)? -18 Let o(c) be the third derivative of c**5/20 - 5*c**4/2 - 37*c**3/6 - 3909*c**2. Calculate o(21). 26 Let u(r) = 11*r - 3. Let x(d) = -4*d**2 - 42*d - 16. Let c(h) = u(h) + x(h). What is c(-7)? 2 Let l be (-60)/(-105) - (-62)/14. Let c(z) = 5*z**2 - 3 + z**3 + 8 - l*z + z**2. Give c(-7). -9 Let s = -64 - -67. Let o(a) = -16*a + 37*a - a**s - 8 - 17*a + 8*a**2. Give o(8). 24 Suppose -5*o = -6*o + 5. Let j(b) = 2*b - 137 - o*b + 137. Suppose 5*p = -16 + 11. What is j(p)? 3 Let l(j) = 9822 - 46*j + 43*j - 9797. Determine l(8). 1 Let c(o) be the first derivative of 3*o + 3 - 1/2*o**2. Suppose 0 = -273*t + 270*t - 4*w - 6, -w + 6 = 2*t. Determine c(t). -3 Suppose 132*n = 107*n - 47 - 128. Let j(x) = x**3 + 5*x**2 - 13*x - 22. What is j(n)? -29 Let b(o) be the first derivative of 4*o**3 + o**2/2 - o - 1. Let u = -650 + 641. Let t be (u - -9 - 4) + 5. What is b(t)? 12 Suppose 0 = -3317*d + 3318*d + 8. Let o(j) = 3*j + 9. What is o(d)? -15 Let s(q) = 4*q + 57. Let z be s(-23). Let m = z - -61. Suppose 0 = 30*j - m*j - 20. Let p(r) = -2*r + 6. Determine p(j). -4 Let a(v) be the first derivative of -v**3/3 + 10*v**2 - 20*v + 464. Let j = 32 - 13. Give a(j). -1 Suppose 4 = 2*j + 4*o, -j - 5*o + 8 = 3. Let r be (4 - (-5)/(-2))*(2 + j). Let d(v) = -15*v + 2*v**3 - 3*v**r - 7 + 14*v. Determine d(0). -7 Suppose 5223*b = 5221*b. Let t(r) = r**3 - r**2 - 12. Calculate t(b). -12 Suppose 0 = 3*m + l - 14, -2 = 3*m - 5*m + 3*l. Suppose -m*z + z - 26 = 4*j, 4*z = 2*j + 24. Let w(t) = t**3 + 9*t**2 + 7*t + 10. What is w(j)? 18 Let v = -215 + 220. Suppose v*u = -9*u - 56. Let z(r) = r**3 + 4*r**2 + r + 1. Give z(u). -3 Let h(a) be the second derivative of -a**6/720 + 13*a**5/120 + a**4/12 + 51*a**2/2 - 9*a. Let m(i) be the third derivative of h(i). Determine m(8). 5 Let z(p) be the third derivative of p**7/2520 - p**6/240 + p**5/120 + p**4/12 - 5*p**3/6 + 22*p**2. Let u(y) be the second derivative of z(y). Calculate u(3). 1 Let z = 3240 - 3241. Let f(y) = -61*y + 1. Give f(z). 62 Let o(f) = f + 18. Let m be (1/(-2)*-2)/(3/24). Suppose 3*x = -k + 36, -4*k - m*x + 109 = -3*x. Suppose 31*l - k*l = -110. Determine o(l). 7 Let w(t) = 61*t - 182. Let s(u) = 18*u - 57. Let k(i) = 7*s(i) - 2*w(i). What is k(12)? 13 Let x(o) be the third derivative of 0*o - 1/24*o**4 + 1/120*o**6 + 1/60*o**5 - 32*o**2 - 1/3*o**3 + 3. What is x(-2)? -4 Suppose -3*w = -67 - 86. Let b = 51 - w. Suppose -5*k - 30 = 3*j, -5*j + 4*k - 14 + 1 = b. Let o(m) = 3*m + 7. Calculate o(j). -8 Let s(w) = 19*w - 189. Let g be s(12). Suppose g*q + 15 = 34*q, -2*f + q = 13. Let x(m) = -2*m**3 - m**3 + 9*m**2 - 6 + 6*m + 4*m**3. Determine x(f). 10 Let a(s) be the first derivative of -s**4/4 + 5*s**3/3 - s**2 + 4*s - 4256. Let n(r) = 4*r - 3. Let o be n(2). What is a(o)? -6 Let v(f) = f**3 - 5*f**2 - f + 20. Let b be v(4). Let n(q) = -q**3 - 4. Give n(b). -4 Let o = 11630 - 11640. Let d(q) = -q**3 - 9*q**2 + 11*q + 22. Give d(o). 12 Let h be 12/4 + 1 + 11. Let d be (-5)/h*(-6)/1. Suppose 0 = -d*s + 2 - 16. Let t(c) = -c**2 - 9*c - 9. Calculate t(s). 5 Let s = -187 - -188. Let d(j) = -j**3 + j**2 - j. Let q(h) = 3*h**3 - 13*h**2. Let g(l) = s*q(l) + 4*d(l). Give g(-8). -32 Let y(t) = -27*t + 197 - 62 - 63 - 57. Calculate y(3). -66 Let b(v) = -9 - 5 - 1 + 1 + 2*v + 2. Calculate b(-9). -30 Let l(x) be the first derivative of 5*x**2/2 + 3*x + 11647. Suppose -g + t = 3*g + 16, -4*t = 0. Give l(g). -17 Suppose 3*x = -10 + 22. Suppose -x*i - 167 = -5*n, n - 5*i = -i + 43. Let u(q) = -q - 61 + 20 + n. Determine u(-7). -3 Let p(k) = 26*k**2 - 6*k + 4 + 27*k**2 - 71*k**2 + 17*k**2. Determine p(-6). 4 Let g(v) = 52*v**3 - 2*v**2. Let b = -3882 - -3883. What is g(b)? 50 Let v(r) = 8*r - 2*r + 3319 - 3231. Give v(-14). 4 Let n = -17450 - -17457. Let t(q) = q + 30. Determine t(n). 37 Let v(n) = 2*n**3 - 9*n**2 + 3*n + 22. Let c be v(6). Let f = c - 142. Let r(m) be the first derivative of m**3/3 - 7*m**2/2 + 7*m + 3. Determine r(f). 1 Let s(m) = -4 - 31*m + 7 - 23*m**2 - 52 + 35*m**2 - 10*m**2. Calculate s(17). 2 Let j(k) = 91290 - 2*k**2 + 91319 - 32*k - 182571. Calculate j(-17). 4 Let c be 10/4 + 2/(76/(-57)). Let i(w) = 36*w - 24. What is i(c)? 12 Suppose 0 = 5*i + 2*b - 10, 3*i + b = 10 - 5. Let w(d) = 8 - 5 - 7*d + 8*d. What is w(i)? 3 Let w(u) = u + 5. Let v be (9/4)/(33/176). Let h = 44 - 25. Let s = v - h. Calculate w(s). -2 Suppose 4*q + 6 = s, 7*q - 6*q = 4*s - 24. Let v(h) be the third derivative of -1/24*h**4 + 0*h - 1/60*h**5 + 1/3*h**3 + q + 14*h**2. Give v(-3). -4 Let o be (-105)/(-5)*(-3)/(-9). Let q(s) be the first derivative of 3*s**2/2 - 2*s - 99. Give q(o). 19 Let d(h) = 53*h + 301. Let p(x) = -9*x - 50. Let f(q) = 6*d(q) + 34*p(q). Let r be f(-9). Let a(i) = 2*i. Determine a(r). -4 Suppose -78725 + 79143 = 11*n. Let c(d) = -15*d + 570. What is c(n)? 0 Let r be 140/30*(-12)/(-7). Let p(a) = -2*a - 5 + 4*a + 4 - 3*a**3 + r*a**3. Suppose 0 = x - 4*g - 9, -5*x - 12*g = -8*g + 3. Give p(x). 6 Let b(t) = 5*t - 29. Let f = 11014 - 11007. Determine b(f). 6 Let g = -125 + 275. Suppose -8*i + 314 = -g. Let y = i + -64. Let m(t) = -t**2 - 5*t - 6. What is m(y)? -12 Let b(o) = -13*o + 105. Let l be b(7). Let f(y) = 2*y - 40 + l + 16 - y. Give f(0). -10 Suppose -2*f - 3 + 79 = 0. Let b = -44 + f. Let d(o) = o**3 + 4*o**2 - 9*o - 8. Calculate d(b). -26 Let z = 742 - 737. Let l(y) be the second derivative of y**3 - 5*y**2/2 - 2*y. Let d(o) = o. Let f(k) = 5*d(k) - l(k). What is f(z)? 0 Let x(n) be the third derivative of -n**4/24 - n**3/2 - n**2. Let r(p) = p**3 - 38*p**2 - 3*p + 142. Let b be r(38). Let z = 31 - b. Determine x(z). -6 Suppose 0 = 9226*r - 9247*r - 105. Let c(j) = j**3 + 7*j**2 + 8*j + 25. Give c(r). 35 Let q(y) = 35*y + 6. Let h be q(1). Let d(i) = i**2 - 29*i - 3 + h*i - 3. Suppose 0 = p - 29 + 41. Determine d(p). -6 Let m(j) = -5*j**3 - j**2 + 7*j + 2. Let o(z) = -4*z**3 - z**2 + 6*z + 2. Let w(l) = 5*m(l) - 6*o(l). Determine w(-1). 1 Let u = 9 - 6. Suppose -u*g - 15 = -6*g. Let v(o) be the first derivative of -o**4/4 + 5*o**3/3 + o**2/2 - 2*o - 3861. Determine v(g). 3 Let s(b) = 2628 - 1309 - 1317 - b**2. Give s(-3). -7 Let z(k) = 37*k**3 + 30*k**2 + 7*k - 15. Let a(c) = -37*c**3 - 22*c**2 - 5*c + 11. Let j(y) = -4*a(y) - 3*z(y). What is j(-1)? -37 Let q(j) = j + 9. Let r be (-417 + 414)/(21/(-60) - (-4)/(-10)). What is q(r)? 13 Let u(z) = -16*z**3 + 2380*z + 15*z**3 + 2*z**2 - 2378*z. Suppose -p + 6*p - 15 = 0. What is u(p)? -3 Let p(r) be the second derivative of 0*r**2 + 0 + 1/40*r**5 + 1/24*r**4 - 4*r + 3/2*r**3. Let g(n) be the second derivative of p(n). What is g(-1)? -2 Let l be 4 + -2 - (0 + 0). Let f be (-3)/l*(-2)/(-1). Let t(j) be the third derivative of -j**6/120 - j**5/15 - j**4/8 - j**3/6 - 5*j**2 - 51*j + 39. Give t(f). -1 Let p(c) = 7*c**2 + 5*c - 18. Suppose -r + 4 = 3*r. Let j(k) be the first derivative of -k**3/3 - k**2/2 + k - 4988. Let b(m) = r*p(m) + 6*j(m). Calculate b(0). -12 Let q(f) be the second derivative of -f**5/20 + 5*f**4/12 + 16*f**3/3 + 15*f**2 + 2715*f - 1. Give q(9). -6 Let q(t) = -2*t**2 + 4*t - 4. Let b be 9/2*(-17)/((-306)/20). Determine q(b). -34 Let f(i) = -7*i - 6*i + 2*i - 13 + 6*i + 2*i. What is f(-17)? 38 Let z(b) be the first derivative of -b**2 - 19*b - 1. Suppose 5*i = -6*y - 105, 4*y + 22 = -51*i + 53*i. What is z(y)? 1 Let u(x) = -x**3 + 6*x**2 + x - 4. Suppose -4*y + 318*h = 317*h - 19, 0 = 4*y - 2*h - 18. Let r = 6 + -1. Let q be (r - (-16)/(-4)) + y - 0. What is u(q)? 2 Let w(k) = 3*k**2 + 55 + 32*k + 7*k + 65*k - 5*k**2 - 54*k. Calculate w(26). 3 Let x(b) = -b - 7. Let m(d) = -2*d + 23. Let c(i) = 3*i - 24. Let o(w) = 5*c(w) + 6*m(w). Let j(k) = -3*o(k) - 8*x(k). What is j(0)? 2 Let o(t) = 4 + 2 - 70*t + 126*t - 7 - 71*t. Give o(0). -1 Suppose -27*p + 28*p - 2*w - 1 = 0, -5*p + 2*w = -13. Let y(b) = 11*b + 5. L
{ "pile_set_name": "DM Mathematics" }
22, 0. -11, -0.17, 0, 22 Sort -490, -158, -5 in decreasing order. -5, -158, -490 Put -16.8, 4, -0.2, 35, -2 in descending order. 35, 4, -0.2, -2, -16.8 Sort 1/4, -4, -6/5, 5, -4495 in decreasing order. 5, 1/4, -6/5, -4, -4495 Sort -3, 22450, -28 in increasing order. -28, -3, 22450 Sort -1/19, 0.0458, -0.1. -0.1, -1/19, 0.0458 Put 1, 6, -3, 9, -8, 2 in decreasing order. 9, 6, 2, 1, -3, -8 Sort -243, 18, -1, 2, 5, -3 in descending order. 18, 5, 2, -1, -3, -243 Sort -5, -801, 0, 3. -801, -5, 0, 3 Put -2.2, -3/5, 2004 in decreasing order. 2004, -3/5, -2.2 Sort -649, -9, 4, 2. -649, -9, 2, 4 Sort 10, 5, 104, -4, -3 in ascending order. -4, -3, 5, 10, 104 Put -5, -3, 0, -473, 24 in increasing order. -473, -5, -3, 0, 24 Sort 4, 51207, -3, -2, -5, 3 in ascending order. -5, -3, -2, 3, 4, 51207 Put -1, -58, -4, -6, 0 in descending order. 0, -1, -4, -6, -58 Put -21, -5, -28, -9 in descending order. -5, -9, -21, -28 Sort 5, 1, -1/4, -9/91 in decreasing order. 5, 1, -9/91, -1/4 Put 6, 24, 0, 77 in decreasing order. 77, 24, 6, 0 Sort 7.4, -2.2, 0.21, 2. -2.2, 0.21, 2, 7.4 Put 1, -1, 135, -4, 2 in decreasing order. 135, 2, 1, -1, -4 Sort -8, 0.3, 4, 0.2, -337, -1 in increasing order. -337, -8, -1, 0.2, 0.3, 4 Sort -3/4, 0.14, -4.96, -5, 0.5 in ascending order. -5, -4.96, -3/4, 0.14, 0.5 Sort 22, -1, 6, -3, 4 in decreasing order. 22, 6, 4, -1, -3 Sort 4.6568, 0.1, -2/15, 0.5, -3 in descending order. 4.6568, 0.5, 0.1, -2/15, -3 Put 5, -4, 1, 774, -3/19, -1/5 in descending order. 774, 5, 1, -3/19, -1/5, -4 Sort -11, -2/5, 0, -11/5, -5, -3/5. -11, -5, -11/5, -3/5, -2/5, 0 Sort 4, 5, -2, 17, -6, -3 in increasing order. -6, -3, -2, 4, 5, 17 Put -10, -20, 3, -3, -6 in decreasing order. 3, -3, -6, -10, -20 Sort -412, 0, -5, 13, -3 in descending order. 13, 0, -3, -5, -412 Sort -188, -2, 5, -36. -188, -36, -2, 5 Sort 531, 5, -4, 65. -4, 5, 65, 531 Put -947, 0, -4, -2185 in decreasing order. 0, -4, -947, -2185 Put -4, 1/34, 0.5, 5/27, 1/6 in increasing order. -4, 1/34, 1/6, 5/27, 0.5 Put 14, 1/11849, -4 in descending order. 14, 1/11849, -4 Sort -0.1, -0.053, 3/445. -0.1, -0.053, 3/445 Put 2/7, -0.2, 3, 0, -25 in increasing order. -25, -0.2, 0, 2/7, 3 Put -43, -21, -3, 0, 3, -1 in descending order. 3, 0, -1, -3, -21, -43 Put -2317, 0.2, -1.03 in descending order. 0.2, -1.03, -2317 Sort -5, -4, 0, 5, -505 in descending order. 5, 0, -4, -5, -505 Sort 10/3, -0.77, -757/5. -757/5, -0.77, 10/3 Put -5, 149/3, 0.178, 0.1 in decreasing order. 149/3, 0.178, 0.1, -5 Sort -22, -1, -16, 4, 53 in ascending order. -22, -16, -1, 4, 53 Sort 4/7, 0.5, -23797 in descending order. 4/7, 0.5, -23797 Put 214/11, -3, -1/3 in decreasing order. 214/11, -1/3, -3 Sort -0.06, 0, 0.0092, -4/5 in descending order. 0.0092, 0, -0.06, -4/5 Sort 4, -4, -2197, -3 in descending order. 4, -3, -4, -2197 Sort -4, 2, 4, 28, -5, 16. -5, -4, 2, 4, 16, 28 Sort -3, -58, -16, 1, -8 in decreasing order. 1, -3, -8, -16, -58 Sort -2, -2/24001, 3, -0.03. -2, -0.03, -2/24001, 3 Put -9, 2, 5, 548, -4, -0.1 in ascending order. -9, -4, -0.1, 2, 5, 548 Put 16, -1, -3, -4, 1 in descending order. 16, 1, -1, -3, -4 Sort -2, -40, 4, 1, 108 in decreasing order. 108, 4, 1, -2, -40 Sort -0.021, -5, 0.35 in ascending order. -5, -0.021, 0.35 Sort 3, -1, 11, -3, 359 in increasing order. -3, -1, 3, 11, 359 Put -759, 1, -5, 0, -12 in increasing order. -759, -12, -5, 0, 1 Put 41, 16, 14, -3 in decreasing order. 41, 16, 14, -3 Put -2/184599, 0, 3/4 in ascending order. -2/184599, 0, 3/4 Sort 56, 108, 4, 0.1 in descending order. 108, 56, 4, 0.1 Sort -311, 5, 0.22 in decreasing order. 5, 0.22, -311 Sort -8, -16, -6, 54 in descending order. 54, -6, -8, -16 Put -20, 3, -9713 in decreasing order. 3, -20, -9713 Sort -5, -11, -2, 0, 1186, 4 in decreasing order. 1186, 4, 0, -2, -5, -11 Sort 10, -35, 3, -1, 18, 1. -35, -1, 1, 3, 10, 18 Sort -1/38, -5, 80 in decreasing order. 80, -1/38, -5 Put 3/5, 3, -1, -5596, -2/17, 0 in decreasing order. 3, 3/5, 0, -2/17, -1, -5596 Put 1/48, 14, 1, -8 in descending order. 14, 1, 1/48, -8 Sort 2/15, 2, 0.2, -1/31, -5 in descending order. 2, 0.2, 2/15, -1/31, -5 Sort -6, -5, 4, -20, 0, 203 in descending order. 203, 4, 0, -5, -6, -20 Put 0, -4911, -2 in ascending order. -4911, -2, 0 Put 315, 5, 2/9, 2/31 in ascending order. 2/31, 2/9, 5, 315 Sort -131, 3, -31, -38, -4, -2 in descending order. 3, -2, -4, -31, -38, -131 Sort 4, 17, 2, -3499, 14, -4/9 in decreasing order. 17, 14, 4, 2, -4/9, -3499 Sort 0.1, -19, -9/56. -19, -9/56, 0.1 Put 1, 3, -1, -41, 19 in descending order. 19, 3, 1, -1, -41 Sort -19, -5, 4, -65 in descending order. 4, -5, -19, -65 Sort -3, -5, -751 in descending order. -3, -5, -751 Put 40, 0.2, -57/25 in decreasing order. 40, 0.2, -57/25 Put 0, 9, 64, 89 in descending order. 89, 64, 9, 0 Sort 2/11, 0.4, -197/7, -2/5 in increasing order. -197/7, -2/5, 2/11, 0.4 Sort -7, -4, -5, -1, -246 in ascending order. -246, -7, -5, -4, -1 Put -22, -153, -2 in decreasing order. -2, -22, -153 Put 10, -4, 905 in descending order. 905, 10, -4 Put 197, 3, -3809 in decreasing order. 197, 3, -3809 Sort 1, -2, -58, -24, 3. -58, -24, -2, 1, 3 Sort 1989/8, 0.5, 2.8. 0.5, 2.8, 1989/8 Put 6, -2, 13, -344, -3 in decreasing order. 13, 6, -2, -3, -344 Sort 1, -7.7, -68, -1, 0.2 in descending order. 1, 0.2, -1, -7.7, -68 Sort -11/2, 2/7, 2/29, -0.4 in increasing order. -11/2, -0.4, 2/29, 2/7 Sort 4, -1/4, -0.7, -319/18 in ascending order. -319/18, -0.7, -1/4, 4 Put 0, 6, 2, 16, 8, -2 in descending order. 16, 8, 6, 2, 0, -2 Sort 4, 269, 3, 238. 3, 4, 238, 269 Put -3, 1/5, -0.04, -1, -67, 5/6 in ascending order. -67, -3, -1, -0.04, 1/5, 5/6 Put -5, 2/3, -9, 108 in descending order. 108, 2/3, -5, -9 Put -2, 6, 352, 1, 3 in ascending order. -2, 1, 3, 6, 352 Sort 5, 2, -10, 22, -2 in ascending order. -10, -2, 2, 5, 22 Sort -17, -12, 1, 87 in descending order. 87, 1, -12, -17 Put -3/7, -15/7, 0.18, -0.05 in increasing order. -15/7, -3/7, -0.05, 0.18 Put -1/2, 4, -2, 3, 7/64 in descending order. 4, 3, 7/64, -1/2, -2 Put -16, -4, 284, 5 in decreasing order. 284, 5, -4, -16 Sort -5, 0, -1147, 3 in ascending order. -1147, -5, 0, 3 Put 4, 2, -4, 15 in descending order. 15, 4, 2, -4 Sort -1, 1, 0, -4, 20, -2 in ascending order. -4, -2, -1, 0, 1, 20 Put -0.12, -0.5, -6, -0.06 in ascending order. -6, -0.5, -0.12, -0.06 Sort -5, -1, -36, 2, -2. -36, -5, -2, -1, 2 Sort 2, 33188, 0 in decreasing order. 33188, 2, 0 Sort -1/3, 0.08, -0.3, -183, -0.5. -183, -0.5, -1/3, -0.3, 0.08 Sort -4, 6, 1, -14, -44 in decreasing order. 6, 1, -4, -14, -44 Put 3, -5, -2/5, 0.1, 3/8, 4 in descending order. 4, 3, 3/8, 0.1, -2/5, -5 Put 3/104, 6, -5, 2, 3/7, -0.2 in increasing order. -5, -0.2, 3/104, 3/7, 2, 6 Sort 4, -0.02, 1/2, 501. -0.02, 1/2, 4, 501 Sort -437, -6, 3, 4, -3 in descending order. 4, 3, -3, -6, -437 Sort -623, 53, 22 in decreasing order. 53, 22, -623 Sort -0.5, -1, 1, 34, 4, 2 in ascending order. -1, -0.5, 1, 2, 4, 34 Sort 47/5, 3, -2, 12, 4 in increasing order. -2, 3, 4, 47/5, 12 Sort 42, 5, 4, 0, 82. 0, 4, 5, 42, 82 Sort 10552, 2/3, 0 in ascending order. 0, 2/3, 10552 Sort -72, -1, -8, -19, -3 in ascending order. -72, -19, -8, -3, -1 Sort 0.2, -3, 0.16, 4/3, -2/31. -3, -2/31, 0.16, 0.2, 4/3 Put -0.4, -1, -8497, 0.03 in decreasing order. 0.03, -0.4, -1, -8497 Sort -1/3, 3, -2/7, 0.1, 12/17, 0.5. -1/3, -2/7, 0.1, 0.5, 12/17, 3 Sort 7, 0, -762. -762, 0, 7 Sort 12, -0.5, 952/11 in decreasing order. 952/11, 12, -0.5 Sort 0.5, 5, -115878. -115878, 0.5, 5 Sort -428, 10, 2, 3. -428, 2, 3, 10 Sort -5, -4, 32, 0, -3, 2 in decreasing order. 32, 2, 0, -3, -4, -5 Sort 2/17, -1, -0.3, 126, 1.66 in decreasing order. 126, 1.66, 2/17, -0.3, -1 Sort -12, -1/5, 0.01, 1, 0.07, -5 in decreasing order. 1, 0.07, 0.01, -1/5, -5, -12 Sort 2, 0, 4, 817, 3. 0, 2, 3, 4, 817 Sort 2, -7, 1.489, -2/3 in increasing order. -7, -2/3, 1.489, 2 Sort -0.4, -18, 52 in descending order. 52, -0.4, -18 Put 0.5, -0.14, -0.07, 3, -4/45, 4 in descending order. 4, 3, 0.5, -0.07, -4/45, -0.14 Put -1, -4, 5, 63, -273, 1 in descending order. 63, 5, 1, -1, -4, -273 Sort 1/4, -0.09, -81/7, -2/9, 0.4. -81/7, -2/9, -0.09, 1/4, 0.4 Sort 3, -4, -66, -995, -3, -1 in ascending order. -995, -66, -4, -3, -1, 3 Put 1209, 2, 2/11, 1 in ascending order. 2/11, 1, 2, 1209 Sort 5, -362, -1, -84 in d
{ "pile_set_name": "DM Mathematics" }
+ 2. Solve -4*s + c*r - 21 = 0, -s + 3*r = s + 15 for s. -3 Suppose 102 = 3*d + 1080*c - 1085*c, -64 = -d + 5*c. Solve d*x = 20*x - g - 7, -6 = 2*g for x. 4 Suppose 2*o - 25 = 4851*b - 4854*b, 2*b = -4*o + 30. Solve -b*h = -5*q + 10, 2*q + 1 = -4*h - 13 for q. -1 Suppose 3*g + 16 = -4*t, -2*g + 0*g = 2*t + 12. Let l(c) = -c**3 - 7*c**2 + 4*c - 24. Let x be l(g). Solve -2*q - 2*u = 4 + x, 3*q - 12 = 3*u for q. -1 Let x(f) = f**3 - 9*f**2 + 7*f + 48. Let h be x(3). Solve 3*d = h, 2*d = -4*w + 2 - 4 for w. -3 Let b be (-20*2/(-25))/(-4 - (-88)/20). Solve -75*f - g = -80*f - b, 5*f + g - 4 = 0 for f. 0 Let y = 348 - 257. Let z be 8/52 - (-2443)/y. Solve -4*b + z = -4*m + m, 0 = 4*b + m - 7 for b. 3 Let p = 71 - 261. Let j = 192 + p. Solve -4*g - 26 = -j*c, 5*g + 1 = -c - 14 for g. -4 Suppose 4*s + 28 = 4*q, 1030*q - 1033*q + 37 = s. Solve -5*g + 10 = 0, q*u - 2*g = 12*u - 2 for u. -2 Suppose -9*l + 547 - 43 = 0. Solve n - 63 = -5*s - l, 3*n + 3*s + 3 = 0 for n. -3 Let g = 14 - 10. Suppose 5*h - o = 50, -4*o = o + 25. Suppose -27*l = h*l - 108. Solve -3 = 3*m + l*z, g*z = 2*m - 0*z + 26 for m. -5 Let x(l) = 6*l**2 + 278*l + 94. Let g be x(-46). Solve c + 9 = -3*z, 11 = -g*z + 3*c - 6 for z. -4 Let l(q) = 11*q - 5. Let n be l(-4). Let d = n + -22. Let j = 75 + d. Solve 3*g - j*c = -14, g = 3*c - c - 6 for g. -2 Suppose -990 = -3*x - 8*x. Let c = 98 - x. Solve -2*l = -m - 6, 3*l + l + c = -3*m for m. -4 Suppose 902*q - 900*q + 3 - 9 = 0. Solve 4 - 16 = 4*y + 4*c, y + q*c = -9 for y. 0 Let l = -130306 + 130318. Suppose -m + 13 = -5*o, -4*m + 14 = -5*o - 8. Let x be o/(-3)*-3*-2. Solve 0 = -x*j - l, -2*t + t - j - 3 = 0 for t. 0 Let d = -1408 - -1421. Solve 2*y = 4*x + 12, -5*y - d = 5*x + 2 for y. 0 Let o(y) = 2*y**2 + 7*y - 15. Let x be o(-9). Suppose x = 12*l + 60. Solve -2*p + 5*p + 7 = -2*z, 4*p + l*z + 8 = 0 for p. -1 Let f = 3 + -1. Suppose -s - 2*u + 18 + 59 = 0, 5*s + 5*u = 360. Suppose 207 = s*p + 2*p. Solve x + 20 = -p*g, -5*g - f*x = 12 + 23 for g. -5 Let r(a) = -450*a + 6*a**2 - a**3 + 435*a - 14 + 11*a**2. Let t be r(16). Solve -t*x + 0*x - s = 7, -5*s = 5*x + 25 for x. -2 Suppose f + 3*p = 6, 12 = -4*f + 9*f - 3*p. Solve -2*v = -f*t - 4 + 14, -t + 4*v = 0 for t. 4 Suppose 0 = 2*u - 8*u. Suppose -4*g + 4 = u, 5*r - 10 = 5*g - 5. Let f be (9/(-9))/(r/(-8)). Solve -14 = q - f*n, -q + 10 = -6*q + 5*n for q. 2 Suppose 0 = -24*o + 393 - 321. Solve -g = -4*l + 27, -3*l + l + 11 = -o*g for g. 1 Let p = 119 - 195. Let m = 81 + p. Suppose 4*j = -m*j - j. Solve -2 + 1 = k, -5*x - k - 21 = j for x. -4 Suppose 2*l = -44*l - 124*l + 850. Solve 0 = 4*z - l*t + 16 + 5, 1 = t for z. -4 Suppose -108 + 108 = -131*g. Solve -x + 3*w - 6 = 3, 5*w - 10 = g for x. -3 Suppose -1163 = 4*w - 1171. Suppose -17 = 5*h + 13. Let k = -1 - h. Solve 0 = -w*c - 2*c + x - 9, -3*c - k = x for c. -2 Suppose -113*w + 303 = 77. Solve -w*d - c - 1 = -6, -4*c = 4*d - 12 for d. 2 Let c(z) = -z**3 + 4*z**2 - 7*z + 16. Let k be c(6). Let d be (-2 - k/(-1)) + -1 + 3. Let w = 98 + d. Solve w = 4*j + p + 2*p - 3, 2*j + 2 = 2*p for j. 0 Let f = 17 - 38. Suppose 2*n - 4*i + 37 = 3, 68 = -4*n + 5*i. Let d = n - f. Solve -d*a + 26 = -2*b, 0 = -5*a + 7 + 18 for b. -3 Let u(i) = -16*i - 973. Let z be u(-61). Solve -3*r = z*x + 3, -19*x + 14*x - 19 = -2*r for r. 2 Let g(x) = x**2 + 11*x + 5. Let a be g(-11). Suppose -o + 60 = a*i, 2*o - 5*o + 3*i + 90 = 0. Let j = o - 30. Solve y - j = -2*c, 3*c - 14 = c - 4*y for c. 1 Suppose 154 = -3*t + t - 4*j, 5*j - 373 = 4*t. Let r(n) = -91*n + 1. Let f be r(1). Let x = t - f. Solve 2*b + 3*b = -2*s + 2, x*b - 1 = -s for s. 1 Let g(j) = -2*j + 3. Let r be g(-2). Suppose 12*l - 15 = r*l. Let a be (301/(-3))/(-7) + l/(-9). Solve -3*x + a = 5*t - 0, -3*t + 3*x = -18 for t. 4 Let i = -16 + 58. Let g = i + -38. Solve -2*q = -g, -3*p + q - 14 = -0*p for p. -4 Let w = 8968 - 8965. Solve -21 = 4*k + 3*j, w*k + 4*j - 66 + 87 = 0 for k. -3 Let p be (9/15 - (-12)/30)*30. Let k = 38 - p. Let f be (-73)/(-15) + k/60. Solve -5*l - 25 = 5*t, l = f*t + 4 + 3 for l. -3 Let d = 57 + -63. Let o be 10 + 0 + d + -1. Suppose 7*p - 20 = 3*p. Solve 2*m + p*s - 7 = -40, -o*m = -s + 7 for m. -4 Let i(y) = -4*y**2 + 70*y + 528. Let z be i(23). Solve -26*a - f = -21*a + z, 1 = a + 2*f for a. -5 Let u be (-6 + -66)*((-100)/8 - -4). Let k be 1/(-4) + (u/16 - -3). Let x = 4 - 2. Solve -x*h = -2*n - 6, 5*h = -5*n - 6 + k for h. 5 Let s = -2727 - -2729. Solve -d = 4*x + s, 10 - 2 = 3*x - 4*d for x. 0 Suppose 2*i + 4*x = 8*x + 28, 3*i - 5*x = 39. Suppose 0 = -4*y - 0*y + i. Let w = -73 - -75. Solve -w*d = -4*j - y, 3*d = 5*j + 3 + 2 for d. 5 Let s(n) = n**3 + 4*n**2 + 4*n + 2. Let i be s(-2). Let o be 5/((-10)/(-8)) - i. Suppose 5*a = 12 - 2. Solve -5*q + 18 = a*v + 2*v, -14 = -5*q - o*v for q. 2 Suppose -r = -2*q + 96, q = -3*q - 5*r + 164. Suppose 24*v = q + 26. Solve 5*l + 6 = -v*t, 6 = -2*t + 4*l - 8*l for t. 3 Let u be (3/(6/(-5)))/((-31)/62). Suppose -26 = -5*t + w, 1 = -4*t - u*w + 16. Solve r + 4*y + 4 = -0*r, 3*y - 14 = -t*r for r. 4 Let u(d) = 12*d**2 - 73*d + 77. Let j be u(1). Solve 20*w - 10 = 5*v + j*w, -4*v + 2*w = 2 for v. 2 Let x be 13/5 + ((-72)/(-40))/(-3). Let b be x*(-5)/10*-3. Solve -40 = 5*q - b*v - 2*v, 3*q - 11 = -4*v for q. -3 Let u = -111032 - -111035. Suppose -b - 3*r + 7 = -0*b, 3*b - 3*r - 9 = 0. Solve b*v - 26 = -u*c, -v + 2*c + 11 = 2*v for v. 5 Suppose -4*g + i = -3, -2*g + 2*i + 0 = 6. Solve -7 - 11 = 3*o - 3*b, g*o - b = -11 for o. -5 Suppose -4*a + 80 = -4*g, 2*g - 4 = -a + 7. Suppose 0 = 3*d - u - 25 + a, -2*u + 12 = d. Suppose 4*p - 8 = 4. Solve d*b + 3*h = -23, 2*h - 16 = p*b + 3*h for b. -5 Let z(g) = -g - 30. Let n(s) = 15. Let i = 5 + -8. Let x(w) = i*z(w) - 5*n(w). Let o be x(-3). Solve 0 = -5*d - 3*q - 15, 0*d - q - o = 2*d for d. -3 Let g(x) = 2*x**2 + 2*x - 28. Let z be g(-9). Let t = z + -103. Solve -l - 3*q = -t, -3*l - 2*l = -q - 17 for l. 4 Let i(v) = -11 + v + v + 79 - 4*v + 9*v. Let w be i(-9). Solve -w*t - 5 - 15 = -5*b, t = -4*b + 6 for t. -2 Let z be (-26)/(-8) + 141/(-564). Solve 3*k + 27 = -z*l, -3*k - 6*l = -2*l + 31 for k. -5 Suppose 23*y = 525 - 226. Solve 0 = -4*k + 2*c + 26, -c = 3*k + 4*c + y for k. 4 Let u(t) = -598*t - 9564. Let z be u(-16). Solve -5*v + 5*y + 20 = 0, z*v - 7 = y - 0*y for v. 1 Let x = 102 - 51. Suppose 4*c = 20, 2*u + 18 - x = -c. Solve o - 1 = -2*d, 3*d - d + 4*o = -u for d. 3 Suppose -75*k = -78*k + 2139. Suppose -6 = -716*f + k*f. Solve -26 = -f*h - 3*h + s, 4*h - 17 = -3*s for h. 5 Suppose -1021*c + 400 = -941*c. Solve -5*k + 21*a - 1 = 20*a, 2*k = -c*a - 22 for k. -1 Suppose 100*r = 132*r. Let x = -3 + 5. Solve 0 = k - r*k + x, 0 = -4*n - k + 6 for n. 2 Let f be (2/(-1))/(-20) - (-135)/(-1350). Suppose -4*g - 9 + 25 = f. Solve -g*k + 23 = -5*l, -2*l = -3*k + 2*l + 18 for k. 2 Let i(d) be the first derivative of -1/4*d**4 - 7*d - 2*d**2 + 2 - 2*d**3. Let r be i(-6). Solve 5*v + r = -4*m, 3*m + 2*m + v = 5 for m. 2 Let v(c) = 2*c**2 + 7*c - 19. Let x be v(4). Let m = -63 + x. Let j = 22 + m. Solve -w + 5*h - 25 = j, -w - 15 = -h - 2*h for w. 0 Let i = -4461 + 4464. Solve 2 = -4*j - 2*u, 5*j + i*u + 138 = 136 for j. -1 Let v be (3 - 39/6 - -3)*-34. Solve 2*s + v = -5*d, 42*d = 2*s + 40*d - 18 for s. 4 Suppose 14*j - 18 = 8*j. Let t be 2/j + 8/6. Solve -5*z - 25 = -w, 3*w - t*z + 17 = 8*w for w. 5 Let i(o) = 2*o**2 - 37*o - 565. Let p be i(-10). Solve -159*z - p = -160*z - g, 3*z - 5 = 2*g for z. 3 Suppose 4*c - 10 = -0*i + 2*i, 0 = 3*c - 4*i - 5. Let m(b) = c - 25*b + 6*b + 14*b + 12*b. Let v be m(6). Solve -5*p + 5*k = -v, -5*k - 11 = p - k for p. 5 Let m = -5171 + 5174. Solve 0 = -h + 4*g - 20, m*g - 4 = -64*h + 62*h for h. -4 Suppose 35*t - 40*t + 213 = u, 2*t = 5*u - 1038. Suppose -u + 194 = -7*p. Solve 0*z + p*z = f - 7, -31 = 2*f + 5*z for f. -3 Let q = 40 - 30. Let s be -3 - q*(0 + -1). Suppose 4*x - 1 - s = 0. Solve 11 = -x*l - 4*z - 1, -l + 3*z + 14 = 0 for l. 2 Suppose 0 = -5*d - 2*h + 30, 2*d - 14*h - 12 = -12*h. Solve 0 = -2*x + c + d, 5*x - 13 = 7*c - 4*c for x. 5 Let s = -8057 + 8062. Solve 0 = b - s*o - 19, 0 = b - 3*o + 18 - 31 for b. 4 Let t be (1 + 1)*(6/(-3))/(-2). Let y be (t/(-3))/(-1 - 5/(-15)). Suppose -11*u + y = -21. Solve 8 = u*j + 5*m - 0*m, 3*m = -2*j + 4 for j. -1 Let
{ "pile_set_name": "DM Mathematics" }
between 10:44 AM and 12:01 PM? 77 What is 121 minutes after 12:41 AM? 2:42 AM What is 644 minutes after 10:48 AM? 9:32 PM What is 586 minutes before 10:37 AM? 12:51 AM How many minutes are there between 3:24 AM and 8:52 AM? 328 What is 38 minutes after 6:20 PM? 6:58 PM How many minutes are there between 3:03 PM and 3:44 PM? 41 What is 641 minutes after 5:13 PM? 3:54 AM What is 60 minutes before 5:04 AM? 4:04 AM How many minutes are there between 1:45 AM and 6:09 AM? 264 How many minutes are there between 7:12 PM and 8:14 PM? 62 What is 570 minutes after 2:48 AM? 12:18 PM How many minutes are there between 2:16 AM and 11:15 AM? 539 How many minutes are there between 11:43 AM and 12:45 PM? 62 How many minutes are there between 12:08 PM and 6:36 PM? 388 What is 14 minutes before 6:46 PM? 6:32 PM What is 197 minutes before 2:46 AM? 11:29 PM How many minutes are there between 2:06 PM and 12:31 AM? 625 How many minutes are there between 9:33 PM and 12:28 AM? 175 How many minutes are there between 4:35 AM and 8:18 AM? 223 How many minutes are there between 12:41 PM and 3:17 PM? 156 How many minutes are there between 6:04 PM and 12:30 AM? 386 What is 704 minutes after 4:28 AM? 4:12 PM How many minutes are there between 1:47 PM and 12:15 AM? 628 What is 353 minutes before 3:59 AM? 10:06 PM How many minutes are there between 8:21 PM and 5:05 AM? 524 How many minutes are there between 5:11 AM and 7:02 AM? 111 What is 291 minutes after 4:58 AM? 9:49 AM How many minutes are there between 10:27 AM and 4:33 PM? 366 What is 97 minutes after 5:44 PM? 7:21 PM What is 624 minutes before 9:02 AM? 10:38 PM What is 203 minutes after 12:49 PM? 4:12 PM What is 155 minutes after 7:21 AM? 9:56 AM How many minutes are there between 10:45 AM and 1:10 PM? 145 How many minutes are there between 10:01 AM and 11:30 AM? 89 What is 92 minutes before 2:52 PM? 1:20 PM What is 175 minutes after 3:25 AM? 6:20 AM How many minutes are there between 1:04 AM and 7:04 AM? 360 What is 39 minutes before 5:33 AM? 4:54 AM How many minutes are there between 2:16 AM and 4:51 AM? 155 How many minutes are there between 3:44 AM and 3:48 AM? 4 What is 52 minutes before 5:52 PM? 5:00 PM What is 470 minutes after 12:34 AM? 8:24 AM What is 697 minutes after 1:12 PM? 12:49 AM How many minutes are there between 4:50 PM and 12:00 AM? 430 What is 709 minutes before 11:05 PM? 11:16 AM What is 416 minutes before 7:03 PM? 12:07 PM What is 676 minutes before 11:23 PM? 12:07 PM How many minutes are there between 9:04 PM and 5:28 AM? 504 How many minutes are there between 8:29 AM and 4:17 PM? 468 How many minutes are there between 9:20 AM and 5:45 PM? 505 What is 681 minutes after 1:22 AM? 12:43 PM What is 172 minutes before 8:14 AM? 5:22 AM What is 490 minutes after 4:19 AM? 12:29 PM How many minutes are there between 8:49 PM and 9:58 PM? 69 What is 209 minutes after 10:22 AM? 1:51 PM How many minutes are there between 6:33 PM and 12:15 AM? 342 What is 304 minutes after 3:11 PM? 8:15 PM What is 186 minutes before 11:50 AM? 8:44 AM What is 328 minutes before 10:38 PM? 5:10 PM What is 111 minutes after 5:36 AM? 7:27 AM How many minutes are there between 6:09 AM and 11:53 AM? 344 How many minutes are there between 5:12 AM and 8:27 AM? 195 What is 372 minutes before 3:06 PM? 8:54 AM What is 618 minutes after 4:34 PM? 2:52 AM What is 416 minutes after 3:57 PM? 10:53 PM What is 310 minutes after 6:07 PM? 11:17 PM What is 315 minutes before 3:28 PM? 10:13 AM What is 401 minutes before 12:37 AM? 5:56 PM How many minutes are there between 11:36 PM and 5:21 AM? 345 What is 315 minutes after 3:02 AM? 8:17 AM What is 148 minutes after 6:18 AM? 8:46 AM What is 646 minutes after 12:45 PM? 11:31 PM How many minutes are there between 4:26 AM and 6:54 AM? 148 How many minutes are there between 9:50 PM and 11:31 PM? 101 How many minutes are there between 6:14 PM and 8:24 PM? 130 How many minutes are there between 3:46 PM and 6:51 PM? 185 How many minutes are there between 9:48 PM and 9:36 AM? 708 How many minutes are there between 10:25 AM and 10:44 AM? 19 How many minutes are there between 12:24 AM and 5:10 AM? 286 What is 139 minutes after 1:21 AM? 3:40 AM What is 467 minutes after 8:30 AM? 4:17 PM How many minutes are there between 10:40 AM and 12:10 PM? 90 What is 185 minutes after 8:16 AM? 11:21 AM How many minutes are there between 5:46 AM and 8:51 AM? 185 How many minutes are there between 10:33 PM and 4:18 AM? 345 How many minutes are there between 2:58 AM and 5:38 AM? 160 How many minutes are there between 12:18 AM and 5:38 AM? 320 How many minutes are there between 8:08 PM and 10:40 PM? 152 How many minutes are there between 7:17 PM and 4:05 AM? 528 What is 149 minutes after 10:12 AM? 12:41 PM How many minutes are there between 11:35 PM and 9:21 AM? 586 What is 502 minutes before 7:57 PM? 11:35 AM What is 394 minutes after 2:32 PM? 9:06 PM How many minutes are there between 3:20 PM and 10:32 PM? 432 How many minutes are there between 11:52 AM and 11:24 PM? 692 What is 77 minutes after 7:34 PM? 8:51 PM How many minutes are there between 10:49 PM and 12:18 AM? 89 How many minutes are there between 2:47 AM and 6:56 AM? 249 How many minutes are there between 1:29 AM and 2:23 AM? 54 What is 321 minutes after 12:08 AM? 5:29 AM What is 286 minutes before 10:47 PM? 6:01 PM How many minutes are there between 9:04 PM and 1:50 AM? 286 How many minutes are there between 4:25 AM and 4:07 PM? 702 How many minutes are there between 1:27 PM and 4:05 PM? 158 How many minutes are there between 5:05 PM and 8:56 PM? 231 What is 391 minutes after 2:15 AM? 8:46 AM How many minutes are there between 6:14 AM and 3:56 PM? 582 How many minutes are there between 8:44 PM and 1:37 AM? 293 What is 310 minutes before 4:47 AM? 11:37 PM How many minutes are there between 4:41 PM and 5:43 PM? 62 How many minutes are there between 1:27 AM and 10:34 AM? 547 How many minutes are there between 9:25 AM and 8:30 PM? 665 What is 707 minutes before 5:25 AM? 5:38 PM How many minutes are there between 9:35 PM and 10:13 PM? 38 How many minutes are there between 5:28 PM and 3:13 AM? 585 What is 623 minutes before 10:23 PM? 12:00 PM How many minutes are there between 9:38 AM and 6:18 PM? 520 How many minutes are there between 1:54 AM and 1:40 PM? 706 How many minutes are there between 11:46 PM and 1:14 AM? 88 What is 6 minutes after 5:52 PM? 5:58 PM What is 203 minutes after 1:11 PM? 4:34 PM How many minutes are there between 11:02 AM and 3:48 PM? 286 What is 681 minutes after 7:50 PM? 7:11 AM What is 596 minutes after 5:57 AM? 3:53 PM How many minutes are there between 6:31 PM and 10:40 PM? 249 What is 660 minutes after 6:02 PM? 5:02 AM How many minutes are there between 4:20 AM and 5:19 AM? 59 How many minutes are there between 6:31 PM and 12:42 AM? 371 How many minutes are there between 8:45 PM and 2:27 AM? 342 How many minutes are there between 7:37 PM and 3:02 AM? 445 What is 490 minutes after 2:50 AM? 11:00 AM What is 387 minutes before 11:46 AM? 5:19 AM What is 539 minutes after 5:32 AM? 2:31 PM How many minutes are there between 2:14 PM and 11:57 PM? 583 How many minutes are there between 6:29 AM and 10:32 AM? 243 How many minutes are there between 6:13 AM and 7:29 AM? 76 How many minutes are there between 12:35 AM and 11:16 AM? 641 How many minutes are there between 8:01 PM and 10:08 PM? 127 How many minutes are there between 8:10 AM and 11:25 AM? 195 How many minutes are there between 8:07 AM and 9:07 AM? 60 How many minutes are there between 1:21 PM and 10:38 PM? 557 How many minutes are there between 5:43 PM and 7:21 PM? 98 How many minutes are there between 5:26 PM and 10:18 PM? 292 How many minutes are there between 7:27 PM and 7:17 AM? 710 What is 39 minutes after 3:19 AM? 3:58 AM How many minutes are there between 5:36 AM and 2:53 PM? 557 How many minutes are there between 4:32 AM and 4:57 AM? 25 What is 458 minutes after 12:35 PM? 8:13 PM How many minutes are there between 5:25 PM and 10:34 PM? 309 How many minutes are there between 2:05 PM and 10:13 PM? 488 How many minutes are there between 11:59 PM and 8:47 AM? 528 What is 145 minutes after 9:59 PM? 12:24 AM What is 117 minutes after 1:42 AM? 3:39 AM How many minutes are there between
{ "pile_set_name": "DM Mathematics" }
late (336/100)/((-249)/(-415)). 28/5 Evaluate (38/57)/((-298)/(-12516)). 28 What is the value of 8*112/(-32)*(11/(-11))/(-2)? -14 (-368)/(-690)*2160/1280 9/10 Evaluate 175*((-502)/1004)/(14/4). -25 What is the value of ((60/14)/(-6)*(-24)/(-180))/(270/(-4410))? 14/9 What is (((-2)/(-22))/(51/(-153)))/((32/4)/(-3784))? 129 Calculate 60*(-13)/48204*1/(15/(-9)). 1/103 Calculate (-9)/4*18*(-58028)/130563. 18 What is the value of ((-5)/(-645))/(((-6)/57)/(1602/(-1691)))? 3/43 ((-4)/11)/((-78430)/18755) 2/23 What is the value of (-66880)/(-836)*2/8? 20 Calculate (10*(-28)/(-160))/((-27)/(-126)*(-105)/54). -21/5 ((-36)/(-66))/(61/26169)*1/6 39 ((-8)/(-20))/(33/(-25245)*17) -18 (756/4410*(-7)/9)/(3/75) -10/3 Evaluate (-18)/(-78)*-5*(572/(-26))/110. 3/13 What is the value of ((-3)/((-3)/(-11)))/((-8317)/(-41585))? -55 ((-124)/9548)/((-10)/(-20)) -2/77 What is (-1*(-9)/15)/(513/90)*(-52)/104? -1/19 Calculate (306/(-108))/((880/(-33))/(-20)). -17/8 What is the value of (-2)/12*2926/209*(-27)/(6/(-2))? -21 Calculate (-46134)/20504*2*8/2. -18 What is the value of (636/(-13833))/((-50)/75)? 2/29 What is the value of (1/(-9))/((5/(-2))/((-735)/98))? -1/3 What is the value of (14316/16702)/((-6)/4)? -4/7 What is the value of (-629)/(-629)*201/(-3)? -67 Evaluate (-19170)/(-7668)*-8*4/(-88). 10/11 Evaluate 1/(10/(-12))*(-361)/(114076/(-16590)). -63 Evaluate ((50/10)/(-5))/(7568/344). -1/22 Evaluate ((-21)/1190)/(6549/8732). -2/85 What is the value of (216/7560)/((-198)/(-154))? 1/45 What is 8/5*525*(-106)/19080? -14/3 Evaluate 30/8*36/(109620/2639). 13/4 (-172)/(1*(-10)/(-100)*5*-8) 43 Evaluate 9/(-6)*15/(-675)*-12. -2/5 Evaluate (19272/(-1533))/(7*18/441). -44 ((-60)/108)/(855/(-209304)) 136 (-2)/8*9*(28/(-168))/(119/34) 3/28 Evaluate (1125/450)/(570/(-19)). -1/12 What is -1*(-6)/(-111)*95/(-190)? 1/37 What is (-7)/(-2)*(-1700)/320705*-77? 10/7 What is the value of (273/(-105))/(507/(-7605))? 39 Evaluate ((-20237)/(-245))/((-70)/(-50)). 59 ((-17)/((-357)/(-70)))/(62/(-651)) 35 Calculate 7*6/(-35)*720/24. -36 Evaluate (1484/(-1696))/((-42)/(-60))*144/(-2). 90 (25/(-7))/((72352/(-833))/304) 25/2 Calculate 80/2*2*-20*(-35)/8400. 20/3 Evaluate (-4*((-5)/6)/(-5))/((-13430)/(-73865)). -11/3 What is (-3)/((-3)/(-10))*3720/1240? -30 Evaluate ((-6069)/4046)/(3/(-60)). 30 What is 208/(-2784)*3*465/(-4030)? 3/116 What is (((-9)/1)/9*8)/(5/(-25))? 40 30775/(-9848)*8/(-115) 5/23 Calculate (-30)/(17/102*(-153)/85). 100 (5*-11)/(6787/6170) -50 Calculate ((-69)/((150/(-90))/(1/3)))/(39/130). 46 Evaluate (1*(-7)/273*(-127)/(-127))/((-2)/18). 3/13 What is (90/11400*-266)/((-14)/15)? 9/4 Calculate ((-1976)/1729)/(532/(-49)). 2/19 Calculate 24/11*(-63)/(68796/858). -12/7 What is the value of ((-10)/25)/(((-36)/(-15))/(2538/7332))? -3/52 (((-189)/56)/(-3))/(33966/42624) 24/17 What is the value of (-8212)/(-67749)*(-11)/(-24)? 1/18 What is the value of 42*95/9975*(-10)/(-2)? 2 Calculate (-3)/21*2002/(-6721). 2/47 What is ((6350/(-35))/(-2))/(11055/15477)? 127 Evaluate 89*29/7743*(((-63)/2)/7)/(-6). 1/4 (472188/798*9/171)/((-2)/(-7)) 109 What is 1/(-5)*((-1383200)/(-156))/133? -40/3 Evaluate 110*(-202)/(-105545)*(-1)/14. -2/133 1/(-2)*999120/8326 -60 What is the value of -132*4/(-4)*23/92? 33 What is the value of (-77)/(-308)*3*30/(-108)? -5/24 What is -42*(-168)/17248*(-60)/9? -30/11 What is the value of (6/15)/((3854/235)/(-41))? -1 What is 86568/(-36070)*(2/24)/(3/(45/(-2)))? 3/2 (6*(-5)/(-900))/((-33)/66) -1/15 18/3*1092/(-182) -36 Evaluate (((-140)/(-8))/(-5))/((-44)/(-616)). -49 Evaluate (52/(-7))/(340/17255*-29). 13 Calculate (((-8)/10)/(156/(-195)))/((-2)/(-62)). 31 What is ((5/(-2))/5)/((49/(-392))/(39/182))? 6/7 ((-15380278)/(-744207))/((-2)/(-9)*-1*6) -31/2 What is the value of 2820/1551*(693/14)/9? 10 What is the value of (127236/44256)/((-2)/(-16))? 23 Calculate 50/(-24*(-37)/(-1332)). -75 What is (-82)/6*((-6)/8)/(787/(-3148))? -41 What is 8*((-834)/(-432))/139? 1/9 Evaluate 550/(-495)*(-243)/6. 45 ((-4)/(-3)*(-3757)/442)/((-5)/30) 68 Calculate (1590/(-630))/((-90)/(-120)*(-4)/21). 53/3 Evaluate 21/492*2*(8/32)/(63/36). 1/82 Evaluate (7/(-4)*-4)/18*(-1386)/(-588)*-2. -11/6 What is the value of -4*(11004/(-72))/(-131)? -14/3 What is the value of (74/(-629))/(192/(-204))? 1/8 What is ((-21800)/27250)/(32/(-70))*(2/7)/(-1)? -1/2 What is the value of (1134/(-19215))/(54/(-30))? 2/61 Evaluate (-3*355/15)/(((-119)/(-34))/((-35)/10)). 71 What is 5/((-2190)/8)*6842/(-1244)*3/11? 2/73 What is ((-725)/3915)/((-55)/(-462))? -14/9 What is ((5406/(-204))/53)/(8/800)? -50 Calculate 5/(-55)*(-97614)/(-306). -29 Evaluate 14/(-8)*5488/4802*-26. 52 Calculate ((-46)/3)/(1*(-6)/(-4)*(-1116)/2511). 23 What is the value of ((-2)/8)/(8/(-240))*(-60)/(-125)*-5? -18 Calculate 150/(-36)*(-180)/(-25)*(-13)/(-208). -15/8 (-11)/(1650/(-60))*(-90)/102 -6/17 Calculate (-8876)/(-44380)*24/(-10). -12/25 (76/950)/((-10)/250) -2 Evaluate -28*73/(-3577)*-49. -28 Calculate ((28/4)/(-70)*38)/((96/6)/16). -19/5 What is the value of ((2/(-5))/(16/(-20)))/(114/(-8436))? -37 (-48*103/1854)/((-220)/6)*-5 -4/11 What is (-1)/(((232/(-48))/29)/(350/28))? 75 Evaluate ((-387)/473*(-22)/(-6))/(4/(-12)). 9 Calculate ((-4)/(-2))/(479/((-68018)/5112)). -1/18 Evaluate (((-69160)/703)/(-91))/(-4). -10/37 119/(31535/106)*(-3)/21 -2/35 (92/22)/(750/(-8250)) -46 What is (-69)/(-134757)*93*399? 19 Calculate (-4470)/1639*44/(-10)*2*3. 72 What is the value of (90/975)/(24*8/160)*13*107? 107 (2451/38*(2/(-18))/(2/(-24)))/2 43 (4/(13/(13/(-2))))/(66/(-132)) 4 What is 14273/8156*11/(-7)? -11/4 (-12)/(-18)*(-65)/10*(-16)/(400/(-75)) -13 Calculate 3/(((-6102)/(-12204))/(244/6*(-2)/8)). -61 (19/(-7))/((-3524)/(-74004)) -57 What is the value of (66/(-187)*(-20)/140)/(2/(-28)*-3)? 4/17 Calculate ((-83)/(-2))/((-5)/2*((-2632)/(-235))/56). -83 49*(-3)/(-42)*17*4/(-28) -17/2 What is ((-6)/108)/((-9)/((-36)/16))? -1/72 Calculate ((-6*(-14)/(-6))/(200/50))/(4/40). -35 Evaluate (3/14)/(((-24450)/(-200))/163). 2/7 (4/(-54))/((-6)/(-5)*(-1947)/(-35046)) -10/9 Evaluate (-455)/(34/(1632/336)). -65 What is the value of (35/3)/((-20)/5*14/((-3528)/(-21)))? -35 (-375)/(-24)*12640/(-15800) -25/2 Evaluate (-76)/(2964/39)*24. -24 ((-39)/(1170/(-42)))/(-14) -1/10 3/9*(-28)/(46816/(-171))*(-12)/(-9) 1/22 Calculate (8600/125)/(-86)*10/76. -2/19 Calculate (42/(-105))/((-41583)/2505). 2/83 Calculate 36*-7*77/((-18865)/70). 72 What is the value of 72*(-415)/(-71712)*(-5)/(90/8)? -5/27 What is the value of 252/196*(-196)/(-1260)? 1/5 Evaluate 77/((-65527)/(-1110))*((8/10)/2)/2. 6/23 (1/14*-6)/((-972)/2592) 8/7 Evaluate ((18/1043)/(-9))/((3/42)/(5/(-10))). 2/149 ((-43920)/(-40))/183*1/(-4)*-34*-1 -51 What is (145/(-290))/(1/94)*(-1)/(-1)? -47 Evaluate ((-252)/13272)/((-9)/(-6)). -1/79 What is (-2)/10*75*(-19)/(-3420)*54/6? -3/4 Calculate (3/11*(-4862)/1768)/((-27)/16). 4/9 What is the value of 2*(-3)/(-6)*(-2)/(-14)*(-22897)/(-160279)? 1/49 Evaluate (324/(-24))/((-741)/76). 18/13 What is (2010/21775)/(6/20)? 4/13 Evaluate (1/((-45)/(-2)))/((-3)/(-4)*(-8904)/3710). -2/81 What is the value of 27/75*((-10)/24)/((1260/(-35))/(-288))? -6/5 Evaluate ((-21)/(-12))/(6/(-90)*(-380)/(-912)). -63 Calculate (35/(-49))/((-172)/(-16254))*(-3)/(30/8). 54 What is (-469)/67*28*(2/16)/((-3)/(-6))? -49 Evaluate ((-1)/10*136)/(2*4/20). -34 What is the value of (1/(5/(-5)))/(5/(-3900)*-15)? -52 (2*(-3)/12)/(6/(-10)*(-385)/308) -2/3 Evaluate (-24)/(-40)*180/(-144)*(-76)/3. 19 Evaluate (2/(-35))/(12*10/7140). -17/5 What is the value of (-80)/(-6)*(-270)/75? -48 ((5/45*-3)/(-1))/((-38)/(-1254)) 11 What is (-69)/368*24*8/78? -6/13 Evaluate (-3*(-15)/105)/((-22)/44*(-2)/(-21)). -9 What is 33600/(-51800)*(-74)/2? 24 (1/90)/(((-3)/(3/1))/4) -2/45 299640/(-39952)*4/(-5) 6 Calculate (75/(-9))/(2500/(-40)). 2/15 (-17934)/(-4270)*(-60)/(-9) 28 (-39)/((-351)/(-42))*3/(-49) 2/7 ((-27)/(-6))/(12474/(-11088)) -4 (2/29)/(1914/166518) 6 What is (-42)/343*(-1127)/(-483)? -2/7 Evaluate 884/(-85)*510/1428. -26/7 Calculate (-261)/(-1972)*-17*176/4. -99 What is the value of ((-2)/3)/((2670/(-120))/(-89)*-4)? 2/3 Calculate 11754/3265*4/(-22)*10/(-4). 18/11 (56/(-506))/7*20911/(-7604) 1/23 (40/(-12)*-9)/((-14)/(84/6)) -30 Calculate (264/1298)/(2744/121422). 9 What is the value of -2*33*(-4)/(-7260)
{ "pile_set_name": "DM Mathematics" }
= 2*j, -6 = -2*r - 3*j. Suppose -4*g - r + 29 = 0. Let h be n(g). Solve h*x - 7*x = 4 for x. -1 Suppose 3*i - 2*v = 22, i + v - 3*v - 2 = 0. Let g(y) be the second derivative of y**4/3 + 3*y**2/2 - 44*y. Let o be g(-1). Solve -o*c - i = -2*c for c. -2 Let q = 278 + -273. Suppose 12 = 3*b, 3*l - q*b + b = 32. Solve -25 = -l*n + 11*n for n. 5 Suppose -31435 + 4709 = -17*q - 144*q. Solve q = 2*x + 162 for x. 2 Suppose 21*v - 26*v = 2*q - 257, 3*v + 233 = 2*q. Solve 25*d + 21 - q = 0 for d. 4 Let i(z) = -6*z**2. Let o be i(1). Let u be o/(-27)*-6*-3. Suppose -6*a - 2*a = 0. Solve a = -u*f - 0*f for f. 0 Suppose 403*p = -5*o + 398*p + 85, -2*o + 3*p = -29. Solve -9*z + o = 7 for z. 1 Suppose 711*w - 356*w - 1230 = 345*w. Solve 101 = 11*z + w for z. -2 Let x(j) = -j**3 - 2*j**2 + 202. Let i be x(0). Let d = i + -133. Let t = -64 + d. Solve t*f + 6 = 1 for f. -1 Suppose 22 + 12 = 2*l - 4*y, -4*l = -4*y - 52. Let w(x) = -l*x**2 - 4*x + 10*x**2 + 2 + 15*x + 2. Let o be w(-11). Solve -m + o = m for m. 2 Let v be (-118050)/(-270) - ((-145)/(-45) - 3). Solve 5*j - 412 = -v for j. -5 Suppose -74*l - 139*l = -38*l - 1225. Solve c + l*c = -56 for c. -7 Let t(g) = 3*g - 3*g + 9*g - 59 - 4*g. Let k be t(13). Solve k = n - 4*n for n. -2 Let d be 2/(176/(-516)*-6 - 2). Suppose -d*x = -54*x. Solve s + 2*s = x for s. 0 Let h = -62 - -73. Suppose -h*t = -28 + 6. Solve 1 - t = r for r. -1 Let s be (3 - (-3 - -6))/(-1). Suppose 6*w - 220 - 50 = s. Solve 37 = 4*z + w for z. -2 Suppose 3*b - 3094 = 30*d - 32*d, -6*b = 2*d - 6190. Solve -b*t - 22 = -1043*t for t. 2 Let v = -540 - -353. Let y = -178 - v. Solve 0 = -x - 14 + y for x. -5 Let s(l) be the third derivative of -l**6/120 - l**5/20 + l**4/6 - 4*l**3/3 + 12*l**2 + 2. Let u be s(-5). Solve 4*h + u = 14 for h. -2 Let z(v) = -v**3 + 8*v**2 - 7*v + 1. Let r(h) = -3*h + 22. Let k be r(5). Let b be z(k). Suppose -b = 3*c - 10. Solve c*a = a for a. 0 Let g = -1042 - -1058. Solve g*b = 18*b + 4 for b. -2 Let r be (4/(-60) + (-167)/195)/((-2)/13). Solve -4 = -r*b + 4*b for b. 2 Suppose 11*o - 669 = -361. Solve 43*z + o + 144 = 0 for z. -4 Let y(v) = 151*v - 1986. Let z be y(14). Solve 75*j = 43*j + z for j. 4 Let o = -292 + 288. Let i be ((0/o)/(-2)*1)/(-2). Solve -p - 6*p - 7 = i for p. -1 Suppose -5*m - 6*o + 2*o = 0, -2*o = 2*m + 2. Let j be (15/(-12)*m)/(-1). Solve 6*b + j + 7 = 0 for b. -2 Let h be (-54)/(-15) - 44/(-110). Let d be (-3 - -4 - 0 - 2) + h. Solve 31 = d*o + 16 for o. 5 Let r = 491 + -492. Let k be ((-6)/1)/((4 - 5) + r). Solve -3 = 6*d + k for d. -1 Suppose -2003*g + 1990*g + 819 = 0. Solve 5*l = -g + 63 for l. 0 Let n = 24 + -17. Let i(c) = c**2 - 3*c - 2. Let h be i(n). Let f be ((-3)/(-2))/(h/4 + -6). Solve 2 = -f*x - 1 for x. -1 Suppose 0 = 155*o - 153*o - 36. Solve 75*g = 81*g + o for g. -3 Let w(g) = -g**3 - 74*g**2 + 231*g - 21. Let u be w(-77). Let n(h) = h**3 - 8*h**2 + 6*h + 7. Let b be n(5). Let j = u - b. Solve -4*a + 5 = j for a. -3 Let l(i) = -4 + 10*i + 3*i**2 - 4*i**2 + 8 + 5. Let d be l(-3). Let o = -25 - d. Solve -o*g + 0*g + 20 = 0 for g. 4 Suppose 1328 = 377*p - 1751 + 817. Let b be (-2 - -2)*(-3 - -4). Solve b*m - p = -2*m for m. 3 Let l(y) = -y**3 - y**2 - 249*y + 81. Let b be l(0). Solve -306 = -30*n + b*n for n. -6 Suppose 13*f - 15*f + 8 = 0. Suppose -f*w + 8 + 52 = 0. Suppose -2*m - 4*i + 7 = -w, 3*i - 27 = -5*m. Solve 2*g + m*g + 10 = 0 for g. -2 Let l = 61 - 67. Let a be (-2 + 6)*((-15)/l + -3). Let j = a - -3. Solve 5*f + 26 - j = 0 for f. -5 Let x be (-3)/(3*3/(-27)). Suppose -3*c + 5*a + 9 = -7, -5*c + 20 = -5*a. Suppose g = 5*p - 12, c*g = -3*p + 7*p - 6. Solve 0 = p*d - 21 + x for d. 4 Let g = 4 + 3. Let h be (-18)/(-4)*(-32)/48. Let j(u) = -3*u - 8. Let m be j(h). Solve 2*o + g - m = 0 for o. -3 Let g = 12030 + -11871. Solve 0 = -6*j + 195 - g for j. 6 Let v(d) = -d**2 + 7*d + 6. Suppose -63*m = -68*m + 35. Let k be v(m). Solve -2*p + k*p + 8 = 0 for p. -2 Suppose 0 = 2*a + 10, -m + 2*a + 27 = -3*a. Suppose -5*d - k = -73, -m*k + 4*k = d - 19. Solve d + 12 = -9*x for x. -3 Let s(t) = t**3 - 15*t**2 + 9*t + 18. Let p be s(14). Let w = 33 + p. Let u = w + 23. Solve 0 = 5*m - u - 1 for m. 1 Let h = -256 - -241. Let v be h/(135/(-18)) - 0. Solve 0 = v*p + 4*p - 30 for p. 5 Let h be (-3 - (-32)/12)*(-1 + 1). Suppose -4*v = 3*j - 56, h - 28 = -2*v + 2*j. Suppose v*y - 118 + 34 = 0. Solve 0 = -3*i - 9 - y for i. -5 Let j = -364 + 99. Let l = j + 273. Solve 0 = 5*v + 2 + l for v. -2 Suppose 1380 = 111*m + 492. Solve -7*s - m = 6 for s. -2 Suppose -h = l, 2*l + 22 = 2*h + 6. Solve 0 = h*j + 40 - 28 for j. -3 Let x(f) = 23 + 24*f + 21 - f**2 - 53 + 19. Let l be x(24). Solve 2 = 3*b - l for b. 4 Let r = 4 + 0. Let t = -9 + 9. Suppose t*a = a - 1. Solve a - r = 3*d for d. -1 Suppose -2*y + 5*w = 3, 3*y - 5*w = -2*y. Let c(p) = 78*p**2. Let q be c(y). Suppose -q = -3*z - 69. Solve -2*i + 1 = -z for i. 2 Let j be (-4)/1*(6 + -7). Let x be (((-60)/j)/3)/((-1)/2). Solve 0*w - 5*w = -x for w. 2 Suppose -2*g + 15*g = -26. Let z be (-1131)/(-117) - g/6. Solve -2*x = -4*x + z for x. 5 Let l(n) = -4*n**2 + 41*n + 35. Let x be l(11). Let w be 3*(4/(-2) - -3). Solve w + 1 = -x*g for g. -2 Suppose -h + 1307 = -2*d - 0*d, -d + 5*h - 631 = 0. Let b = -651 - d. Solve -3 = 4*k + b for k. -2 Let d = 13 - 19. Let m be d/(-2) + -1*1. Let b = 566470 - 566463. Solve 3*a + b = -m for a. -3 Suppose -4*y = -991 - 149. Let b = y - 280. Solve b*i - 12 + 2 = 0 for i. 2 Let k(h) = -13*h**3 - h**2 - 7*h + 9. Let n be k(1). Let f(c) = 6*c + 76. Let d be f(n). Solve b - 15 = -d*b for b. 3 Suppose 5*o + 2*m - 3989 = 0, 5*o - 3439 - 542 = -3*m. Solve 813*g - o*g = -96 for g. -8 Suppose 12*n + 270 = 42*n. Let t(d) = d + d**3 - 2*d - 9*d**2 - 14 + 3*d. Let o be t(n). Solve 0 = o*a - 5 + 21 for a. -4 Let d = -28 - -38. Suppose 7*m - d = 2*m. Let u be (-1 - -1)*(-1)/m. Solve c = -2 - u for c. -2 Let w(m) = -6*m**2 + 19*m - 2. Let v be w(3). Let g = 8 - 10. Let r = g - -7. Solve v = 4*a + r for a. -1 Suppose 0 = 2*g - 3*d - 16, 0 = g - 7*d + 9*d - 8. Suppose 0 = -g*b + 9 + 7. Let u be 1/3 + 51/9. Solve -b*a = -0*a + u for a. -3 Suppose -r + 12 = 3*a, -r + a = -a + 3. Suppose 21 = -2*c + 5*c - r*u, 0 = -u - 5. Suppose -y = -c*y. Solve h + 3 - 2 = y for h. -1 Suppose -5*y = 3*n - 373, 4*n = -4*y - 298 + 790. Solve 0 = 3*c + 106 - n for c. 5 Let c be (7 + -16 - -10) + 2 + -1. Let t(p) = 32*p - 49. Let d be t(c). Solve 0*x - 3*x + d = 0 for x. 5 Suppose p + 1951 = 4*r, -2*r + 3*p = -1002 + 29. Solve 6*u + r - 506 = 0 for u. 3 Suppose -42 = 7984*h - 7954*h - 132. Solve -h*l = -2321 + 2342 for l. -7 Suppose 0 = -5*m - 5*v + 60, -2*m - 18 = -3*m + 5*v. Suppose 3*h = -4*a + 5, -5*h + m = 3*a + 1. Suppose h*d = -0*d - 0*d. Solve -1 = -d*b + b for b. -1 Let x(s) = -15*s - 32. Let o be x(-3). Let c be (-12)/78 - (-3 - (-37)/o). Solve -2*v - 3*v - 5 = c for v. -1 Let m(z) = 8*z + 57. Let o(s) = -4*s - 28. Let h(i) = -4*m(i) - 7*o(i). Suppose -3*c + 44 = -7*c. Let k be h(c). Solve 2*g + k = 5*g for g. 4 Let f(s) = -s**3 - 15*s**2 - 26*s + 9. Suppose 5*p = -164 - 31. Let n be (24/36)/(2/p). Let q be f(n). Solve -q = -r + 4*r for r. -3 Let v(t) = t**3 - 4*t**2 + 23*t - 53. Let p(r) = -r**2 + 1. Let q(s) = -2*p(s) - v(s). Let h be q(3). Solve -4*j + h*j = 10 for j. 2 Let y = 185 + -158. Solve 14*l = -y - 29 for l. -4 Suppose 2*w - 14 = z, -3*w - z + 21 = 4*z. Let u be (-2054)/(-91) + 3/w. Solve -3*a + u - 11 = 0 for a. 4 Suppose -74 = -3*u - i + 157, -2*u - 4*i = -144. Suppose 0 = 3*h - 0*h + 3*a - u, -4*h = -2*a - 110. Let v = 4 + -2. Solve -h = -5*b - v for b. 5 Suppose 3 = 6*n - 195. Let v be (-3)/n - 623/(-77). Solve -v = -3*m + 1 for m. 3 Let k(f) be the first derivative of 3*f**4/4 - 26*f**3/3 - 4*f**2 - 6*f + 101. Let z be k(9). Solve z*p = -0*p + 3 for p. 1 Let j(d) = 36*d - 2614. Let x be j(73). Solve 0 = x*n - 9*n - 30 for n. 6 Suppose -2*c - 4610 = -4*s, -7*s + 11*s = -2*c + 4590. Suppose -1144*f = -s*f + 24. Suppose -5*q + 3 = -12. Solve l = q - f for l. -1 Let o be (-18)/(-21)*(-252)/(-54). Suppose -129 = o*m - 145. Solve -m = -i - 2 for i. 2 Suppose -6*w = 2*l - 3*w - 214, 2*w + 86 = l. Solve l = -3*b + 116 for b. 6 Suppose 2*t = t + 9. Let k = -10606 - -10635. Solve k - t = 4*b for b. 5 Suppose -2*i + 5 = 3*d, 9*d
{ "pile_set_name": "DM Mathematics" }
ive w. 8 Rearrange 49 - 3*f - 15 - f**3 + 0*f**3 + f - 31 to g + h*f + l*f**2 + k*f**3 and give g. 3 Express 116*k**3 - 2*k**2 + 5*k**4 - 7839*k + 7839*k in the form x + i*k**4 + u*k**3 + z*k**2 + s*k and give i. 5 Rearrange -382*g**2 + 60*g + g**3 - 26*g**4 + 381*g**2 - 57*g to y*g**4 + t*g + x*g**2 + c*g**3 + s and give x. -1 Express -3*b + 0*b + 5*b - 2*b + 2*b + b + (-1 - 2*b + 1)*(2 - 1 + 1) - 5*b + 5*b + b + 3*b - 2*b - 3*b + 1901*b + 1916*b - 122*b as k + p*b and give p. 3693 Express (1 + 4 - 6*t - 7)*(-3 + 4 - 4)*(-3 + 5 + 0) as a + q*t and give a. 12 Rearrange 2*n**2 - 9*n**4 + 7*n**4 + n + n**4 - n**3 - 9 to i*n**2 + k*n + r + u*n**3 + a*n**4 and give r. -9 Express (64 + 97 + 139 + 4 - 33)*(-b**2 + b**2 - 3*b**3) in the form h + d*b**2 + o*b + q*b**3 and give q. -813 Express -123 - 78 - 18 + 3 + 23 - b as y*b + w and give w. -193 Rearrange (4 - 9 + 6)*(-q + 2*q - 3*q)*(-5*q**3 + 7*q**3 + 3*q**3) to the form h*q**2 + p*q**3 + n*q**4 + u + w*q and give n. -10 Express -4*j**2 - j**2 + 7*j**2 + 26*j**3 + j + 35*j**3 + 2*j as o*j**2 + s*j**3 + w + c*j and give s. 61 Express (115*b - 51*b + 163*b + 8*b)*(-4*b**3 + 2*b**3 - 4*b**3) as t*b + n + a*b**2 + i*b**4 + v*b**3 and give i. -1410 Rearrange (-4*h + 0*h + 2*h)*(-6632 - 2689 - 13 - 3146 + 1021) to v*h + i and give v. 22918 Rearrange -6 - 134*c - 3 + 132*c to the form a + t*c and give t. -2 Express 2*c**2 + 189*c**3 - 4*c - 6*c + c**4 + 14*c - 112*c**3 in the form x*c + k*c**3 + h + p*c**4 + t*c**2 and give x. 4 Rearrange 40*i**2 + 86*i - 171*i + 83*i to the form p*i**2 + h + g*i and give h. 0 Rearrange 24 - 4*a**2 - 35 + 11 - 15*a to the form q + x*a + f*a**2 and give f. -4 Rearrange -5*s**4 + 0*s**4 + 4*s**4 + (-17*s**3 + 12*s**3 + 44*s**3)*(-s - 3 + 3) to the form r + n*s**3 + d*s**4 + f*s + i*s**2 and give d. -40 Express (2*b + b + 0*b)*(-2 - 1 + 9) + (-b - b + b)*(14 - 6 + 2) as m + c*b and give m. 0 Express 1 - h + 9*h**4 - 4 + 10419*h**3 - 10422*h**3 as b*h + k*h**4 + l + x*h**3 + n*h**2 and give k. 9 Rearrange 4*f + 20*f**3 + 42*f**3 - 4*f**3 - 14*f**3 to j + a*f + r*f**3 + t*f**2 and give a. 4 Express (-6*g - 5*g + 3*g + (g + 0 + 0)*(-4 - 1 + 3))*(18 + 138*g - 282*g + 147*g) in the form h*g**2 + n + t*g and give h. -30 Express 19191*m - 18021*m + 6 - 6 in the form f*m + c and give c. 0 Express x + 24*x**3 + 132069 - 132077 + 15*x**3 as m*x + b + d*x**3 + l*x**2 and give d. 39 Express (-2 - 2 + 5)*(-38*x - 58*x + 71*x) - 12*x - 21*x + 17*x as r + m*x and give m. -41 Express -41*g**4 + 2 + 27*g - 32*g + 42*g**4 + 2*g**3 in the form o*g**3 + j*g**4 + a*g**2 + c*g + u and give o. 2 Rearrange -27*q**3 + q**2 - 985 + 987 + 2*q - q**2 to t*q + i*q**3 + s + j*q**2 and give i. -27 Rearrange (-5*v + 22 + 79 - 32)*(2*v - 3*v - 1 - 1) to x + h*v + m*v**2 and give x. -138 Express (2 - 2 - 2*u**3)*(u + 0*u + 2*u + (-1 + 2 - 2)*(-15 + 15 + 2*u)) in the form j + y*u**3 + i*u**2 + d*u + b*u**4 and give b. -2 Rearrange (-3 + 2*z + 3)*(-590*z + 12 + 297*z + 290*z) to the form g + h*z + l*z**2 and give h. 24 Express -7*c**2 - c**2 + 0*c**2 + (-6 + 5*c + 6)*(-2*c - c + c) + 0*c**2 + 0*c**2 + 3*c**2 as o*c**2 + d*c + s and give d. 0 Rearrange (-z + 3*z + 0*z)*(11 + 31 - 129) to the form h*z + o and give h. -174 Express -4*t**3 + 3*t**4 + 17*t**3 - 13*t**3 - 5*t**3 - t**2 as r*t**2 + m*t + z*t**4 + n*t**3 + x and give r. -1 Rearrange -4*i**2 + 40 - 4*i**2 + 0*i**2 + 7*i**2 - i**2 to the form y*i**2 + x + a*i and give y. -2 Express -3*o**2 + 2*o**4 + 3*o**2 - o**4 + 0*o**4 + 4*o**4 + (15*o + 469 - 469)*(o - 2*o**3 - o) in the form b*o**3 + n*o**2 + q*o + j*o**4 + r and give n. 0 Rearrange h**2 + 12*h**3 - 2765 + 3*h**2 - h**3 + 2767 to the form s*h**3 + j + o*h**2 + u*h and give o. 4 Express -175*q**4 - 13 + 2*q**2 + 4*q**2 + 174*q**4 - 5*q**2 - q**3 - q as t*q**4 + b*q + c + u*q**3 + n*q**2 and give b. -1 Rearrange s**3 + 2*s**3 - 2*s**3 + (-1 + 41 + 34)*(2*s**3 + 1 - 1 + (-3*s + s + 0*s)*(-s**2 + s**2 - s**2)) to w*s + i*s**3 + n + j*s**2 and give i. 297 Express (1 - 1 + 10)*(4*q + 2 + 3*q - 5*q) - q - 3*q - 4*q in the form g + w*q and give w. 12 Rearrange (-2 + 0 + 0)*(-371 + 371 + c**4)*(-5 + 1 + 0) to the form g + x*c + q*c**4 + n*c**3 + v*c**2 and give q. 8 Rearrange (-55*p + 55*p - 15*p**2)*(15 - 15 - 2*p**2 - 9*p) to c*p + g*p**2 + l*p**4 + a + f*p**3 and give l. 30 Express -180*j**3 + 21*j**3 - 51*j**3 - 7*j + 4*j as b + l*j + w*j**2 + u*j**3 and give w. 0 Express (63 - 21 - 17)*(-2 + 2 + 3*p) - 7*p + 6 - 6 as r*p + n and give r. 68 Express (3 - 5 - 3)*(-10307 + 10307 + 9*f**2 + 267*f**2) in the form o*f + m + h*f**2 and give h. -1380 Express -7*d**4 - 43*d**2 + 9*d**4 - 3*d**4 + 133*d**2 - d**3 + 2*d as b*d**2 + f*d + p*d**3 + o*d**4 + j and give b. 90 Express (1 - 2*g - 1)*(-17 - 24 - 11)*(7*g + 2*g - 3*g) in the form c + k*g**2 + x*g and give x. 0 Rearrange (0 + 0 - 2)*(2*g - 2*g + 2*g) - 5*g + 2*g + g + 82*g - 14*g - 161*g to d*g + z and give d. -99 Express 58*x - 1 + 42*x + 0 + 4*x in the form a*x + r and give a. 104 Express (-14 + 19 - 15)*((534 + 36*b - 534)*(-4*b - b + 6*b) - 2*b**2 + 0 + 0) as t + p*b + q*b**2 and give q. -340 Rearrange -20*y - 54*y - 90*y - 191*y to the form d*y + v and give d. -355 Express 2711 + 3*j**2 - 1357 - 1367 as x + c*j + d*j**2 and give d. 3 Express 107*o - 26*o + 148*o - 9*o in the form b*o + i and give b. 220 Express (u**3 - 2*u**3 + 2*u**3)*(-5*u + 3*u + 4*u) + 13*u**4 + 3*u**4 + 0*u**4 - 3*u**4 - 3*u**4 + 22*u**4 as c + a*u**2 + x*u**3 + n*u + g*u**4 and give n. 0 Rearrange (-1 + 1 + i + (-3*i + 8*i - 3*i)*(3 - 3 - 1))*(1 - 1 + 5*i)*(17 + 19 + 16) to the form a + r*i + y*i**2 and give y. -260 Rearrange (4 - 6 + 3)*(-b + 50 + 30 + 38) to the form u*b + o and give o. 118 Rearrange -183*k**3 - 1 - 15 + k + 9 - k to the form m*k**3 + g + t*k + f*k**2 and give m. -183 Rearrange -55*r**3 + 1 + 116*r + 32*r**3 + 25*r**3 to the form a + b*r**3 + z*r + f*r**2 and give b. 2 Express (-3*c**3 + 5*c**3 - c**3)*(-4 + 3 + 2)*(1934 - 5760 + 1531) in the form b + s*c**2 + x*c**3 + k*c and give x. -2295 Express -249 + 8*u**3 + u - 3*u**3 + 8*u**4 + 247 as l*u**4 + v + i*u**2 + c*u + j*u**3 and give i. 0 Rearrange -6*t**2 + 4*t**3 + 127*t**2 - 20*t**2 - 2*t - 11*t**2 to the form u + b*t**3 + r*t + h*t**2 and give b. 4 Rearrange (-v**2 - v**2 - 9*v**2)*(-465*v + 92*v**2 + 465*v) to u*v**3 + m + a*v**4 + y*v + l*v**2 and give a. -1012 Express -3*h**3 + 21*h - 21*h + 208 - 15*h**4 - h**2 - 205 in the form f*h**3 + j*h + w + k*h**4 + u*h**2 and give u. -1 Express -11197 + 11197 - 79*t as o*t + x and give o. -79 Rearrange -111*v - 12*v**3 + 111*v + (v - 15*v - 6*v + (4*v - 4*v - v)*(-5 + 0 + 3))*(-1 + 1 + 2*v**2) to j*v**3 + k*v**2 + a + f*v and give j. -48 Express (w - 2*w - 3*w - 25 + 25 + 7*w + (0 + 2 + 0)*(2*w - 4*w + w))*(0*w + 0*w + 2*w**2) in the form t + v*w**2 + s*w + d*w**3 and give d. 2 Rearrange (-2 + 4 - 4)*(w - 4*w - 2*w)*(34*w + 5*w + 21*w) to u*w + v + d*w**2 and give d. 600 Express (444*n**2 + 289*n**2 + 83 - 82 - 119*n**2)*(0*n + 2*n - 4*n) in the form f + o*n**3 + g*n + s*n**2 and give g. -2 Rearrange (3*p**2 - 3*p**2 - 2*p**2)*(3 - 5 - 7)*((p + p - p)*(-2 + 2 - 1) - p - 1 + 1)*(-1 - 1 + 3) to the form i*p**2 + z + a*p**3 + v*p and give a. -36 Express (-y + 2*y**2 + y)*(-1 - 1 + 1) + 2*y**2 - 5*y**2 + 0*y**2 - 2*y**2 + 26*y - 19*y - 10*y + 3*y - 3*y + 2*y**2 in the form t*y**2 + r + x*y and give t. -5 Express 8*y**4 + 5*y**2 - y**3 - 17*y - 25*y**4 + 6*y**4 + 10*y**4 in the form h*y**2 + o*y**3 + s*y + t*y**4 + u and give t. -1 Express -175*l - 120*l + 241*l - 112*l as v + k*l and give k. -166 Rearrange 9 - 1 + 3 - 16 + 6 - 27*s**2 to o + f*s + t*s**2 and give o. 1 Express -2*x**3 - 231 + 231 - 135*x**2 + (-2*x + 3*x - 4*x)*(6*x**2 - 3*x**2 + x**2) in the form u*x**2 + d*x**3 + k + s*x and give s. 0 Express (1493*l**2 - 19 + l - 1500*l**2 - 51)*(2*l + 3*l - 3*l) as n*l**3 + b + h*l**2 + k*l and give k. -140 Express (18 + 285 - 15)*(13*q**2 - 5 - 2*q**4 - 13*q**2) in the form r + u*q + a*q**2 + h*q**3 + v*q**4 and give v. -576 Rearrange -o**3 + 13*o**2 - 18*o**2 - 4*o**2 - 2*o**4 - 1 + 5*o**4 to the form g*o**3 + a*o**2 + h*o + n + s*o**4 and give a. -9 Express 51 - 10 - 18 - 829*o**2 - 9 - 16 in the form n*o + w*o**2 + c and give w. -829 Express 23 - 79
{ "pile_set_name": "DM Mathematics" }
= 19*t**4 + 4*t**2 + 72*t - 4. Let o(i) = -56*i**4 - 11*i**2 - 217*i + 11. Let c(k) = -11*h(k) - 4*o(k). Find the second derivative of c(f) wrt f. 180*f**2 Let k be 1/(1 - 15/20). What is the second derivative of -g**4 - 5*g**4 + 6*g**4 + 23*g + 12*g**k wrt g? 144*g**2 Let s(w) be the second derivative of -w**5/20 - 2*w + 26. Suppose 0*h + 9 = -3*h. Let k(y) = 4. Let m(o) = h*s(o) - k(o). Differentiate m(i) with respect to i. 9*i**2 Let z(k) be the second derivative of k**7/2 - 4*k**6/15 - 53*k**3/2 + 5*k - 35. Find the second derivative of z(q) wrt q. 420*q**3 - 96*q**2 What is the derivative of -182 + 53*c - 115*c - 130*c - 173*c wrt c? -365 Let s(u) be the third derivative of u**7/105 - u**6/120 - 9*u**5/20 - u**3/3 - 30*u**2. What is the third derivative of s(x) wrt x? 48*x - 6 Let a(s) = -s**2 + 27*s - 23. Let o(z) = -5*z**2 + 107*z - 92. Let c(u) = 9*a(u) - 2*o(u). Differentiate c(q) wrt q. 2*q + 29 Differentiate 8 + 41*s**2 - 26 - 14 wrt s. 82*s Let p be ((-15)/(-20))/(9/24). What is the third derivative of 463*m**2 + 9*m**5 - 221*m**2 - 233*m**p wrt m? 540*m**2 What is the third derivative of -18*d**3 - 39 + d**2 + 18*d**3 - 220*d**4 + 11 wrt d? -5280*d Let m = -2 - -4. Suppose -4*l + 12 = 5*v, -3*l + m*l - 22 = -5*v. What is the second derivative of 3*k**3 + k - v*k**3 - 4*k**3 wrt k? -30*k Let p(t) be the first derivative of -t**6/3 - 3*t**3 - 22*t**2 - 6. Find the second derivative of p(y) wrt y. -40*y**3 - 18 Let h(k) = -45*k**2 + 6. Let v(o) = -2 - 1 + 10*o**2 - 9*o**2 + 21*o**2. Let a(b) = -4*h(b) - 9*v(b). Differentiate a(d) with respect to d. -36*d Let a(w) = -8*w**3 - 2*w**2 - 3*w - 7. Let k(t) = -9*t**3 - 4*t**2 - 4*t - 8. Let b(p) = 4*a(p) - 3*k(p). Find the third derivative of b(h) wrt h. -30 Let o(n) = n**2 - 2*n + 1. Let b be o(1). Suppose 6 = 3*f - b. Find the first derivative of -f - 3*h + h + 3*h + 0 wrt h. 1 What is the first derivative of -61 - 164 + 5*r + 34*r + 2 - 6*r wrt r? 33 Suppose 3*b - 1 = 8. Let g(r) = 24*r**2 + 3*r - 15. Let s(x) = x. Let f(j) = b*s(j) - g(j). What is the derivative of f(a) wrt a? -48*a What is the first derivative of -3*a**2 + 14*a**4 + 94 - 17*a**4 + a**4 wrt a? -8*a**3 - 6*a Suppose 2*m = 5*c - 0*m - 770, -c - 3*m = -137. Find the second derivative of 3*t + 147*t**3 - c*t**3 + t wrt t. -30*t Let d(v) be the third derivative of -8*v**2 + 17/60*v**5 - 7/8*v**4 + 0*v**3 + 0 + 0*v. What is the second derivative of d(f) wrt f? 34 Let m(o) be the third derivative of 3*o**8/1120 - o**5/15 + o**4/8 + 6*o**2. Let n(k) be the second derivative of m(k). Differentiate n(a) wrt a. 54*a**2 Let q(p) be the second derivative of 0*p**4 - 53/20*p**5 - 3/2*p**2 - 2*p - p**3 + 18. What is the second derivative of q(a) wrt a? -318*a Let u = -7 - -32. Find the third derivative of -4*w**4 + 37*w**2 + 4*w**4 + u*w**6 + 16*w**6 wrt w. 4920*w**3 Let d be 2/(0 + -2)*-5. Let z = -496 + 499. What is the third derivative of -3*i**5 - i**3 - i**d + i**z + 9*i**2 wrt i? -240*i**2 Differentiate -12*w + 66*w + 70*w - 48 - 49 wrt w. 124 Suppose -3*r = -2*y + 28, -4*y - 52 = 3*r - 0*r. Let n(h) = h**2 + 12*h + 8. Let s be n(r). What is the third derivative of -11*u**2 + 5*u**5 - s*u + 8*u wrt u? 300*u**2 Suppose 32 = 7*s - 10. What is the third derivative of -s*z**2 + 8*z**2 - 4*z**5 - 2*z**5 wrt z? -360*z**2 Let y(a) be the first derivative of -110*a**7/7 - 142*a**3/3 - a**2/2 + 169. Find the third derivative of y(c) wrt c. -13200*c**3 Let n(w) be the third derivative of -w**8/56 - 2*w**7/105 + w**4/6 + 5*w**3/2 - 25*w**2. What is the second derivative of n(l) wrt l? -120*l**3 - 48*l**2 Let x(l) be the first derivative of -2*l**5 + 3*l**4/4 - l**3 - 22*l - 143. Find the third derivative of x(k) wrt k. -240*k + 18 Find the second derivative of 0*b + 370*b**2 - 22*b + 67*b wrt b. 740 Find the third derivative of 289*d**5 - 44*d**6 + d - 42*d**6 - 289*d**5 + 12*d**2 wrt d. -10320*d**3 Find the third derivative of 349*q**3 + 132*q**2 + 112*q**2 - 702*q**2 - 182*q**2 wrt q. 2094 Let q(x) be the first derivative of -13 + 13/2*x**2 + 9*x. What is the derivative of q(c) wrt c? 13 Let c(b) be the first derivative of -41*b**6/120 + b**5/12 - 15*b**2/2 + 22. Let o(j) be the second derivative of c(j). Find the third derivative of o(d) wrt d. -246 Let v(m) = -74*m + 79. Let s be v(1). Let c(w) be the first derivative of -s + 8/3*w**3 + 0*w**2 - 7*w. Differentiate c(h) with respect to h. 16*h Suppose 13*v = -13*v. Let j(a) be the second derivative of 0*a**2 + 0 + 1/6*a**4 + v*a**3 - 6*a - 1/4*a**5. What is the third derivative of j(t) wrt t? -30 Let m be 9 - (0 - -6 - 0). Let w(a) be the second derivative of a**2 - a + 1/6*a**4 + 0 + 0*a**m. What is the first derivative of w(i) wrt i? 4*i Suppose -q + 2*p = -6, 5*q - 4*p - 40 = q. Differentiate -4 - 2*h**3 + 6*h**3 - 1 - q*h**3 wrt h. -30*h**2 Let v(s) be the second derivative of 19*s**4/3 - 38*s**2 - 97*s. Differentiate v(x) with respect to x. 152*x Let y(l) be the second derivative of -l**7/30 + 5*l**4/8 - 5*l**2/2 + 7*l. Let b(t) be the first derivative of y(t). Find the second derivative of b(u) wrt u. -84*u**2 Let j = -22/31 + 657/620. Let b(n) be the second derivative of 3*n + 0*n**2 + 1/2*n**3 + 0 + 0*n**4 - j*n**5. Find the second derivative of b(d) wrt d. -42*d Let x(w) = 1037*w**4 - 17*w**3 - 195*w**2. Let u(m) = -345*m**4 + 6*m**3 + 65*m**2. Let i(y) = -17*u(y) - 6*x(y). What is the third derivative of i(h) wrt h? -8568*h Let n(g) = -39*g**4 + 5*g**3 + 4*g**2 - 64*g - 2. Let b(f) = -f**4 - f**3 - f**2. Let x(t) = -4*b(t) - n(t). What is the second derivative of x(l) wrt l? 516*l**2 - 6*l Let u(p) be the first derivative of -2*p**5/5 + 293*p**3/3 - 326*p**2 - 391. What is the second derivative of u(j) wrt j? -24*j**2 + 586 What is the second derivative of -544*s**2 + 509*s**2 - 2*s + 1 - 2*s wrt s? -70 Suppose -4*n + 83 = 15. What is the second derivative of -5*b + 3*b + n*b**2 - 4*b**2 wrt b? 26 Let v = 133/45 + -23/9. Let o(d) be the first derivative of 0*d - 5/3*d**3 - v*d**5 + 7 + 0*d**4 + 0*d**2. Find the third derivative of o(s) wrt s. -48*s Suppose 0 = t + 5*g - 5, 0 = -2*t - 3*g - g + 10. Suppose 0*o - 2*w = -5*o + 23, 4*o - 24 = 3*w. Find the first derivative of -4 - t + 8 + 5*u**o wrt u. 15*u**2 Let p(x) be the third derivative of 3*x**8/112 + 2*x**7/105 - 31*x**5/30 - x**3/6 + 148*x**2. Find the third derivative of p(s) wrt s. 540*s**2 + 96*s Let j(x) = -x**3 + 185*x**2 - 20*x. Let m(g) = 2*g**3 - 372*g**2 + 42*g. Let f(b) = -5*j(b) - 3*m(b). What is the second derivative of f(s) wrt s? -6*s + 382 Let w(d) be the first derivative of -13/2*d**2 + 17*d - 6. What is the first derivative of w(m) wrt m? -13 Let y(r) = -33*r - 3. Let n(f) be the second derivative of 11*f**3/3 + f**2 + 11*f. Let x(o) = 7*n(o) + 5*y(o). Differentiate x(a) wrt a. -11 Let x(t) = t + 1. Let d be x(6). Let a(l) = l**2 - l + 9. Let z be a(0). What is the second derivative of 6*o + d*o - o**2 - z*o + 5*o wrt o? -2 Let l(c) = 5*c + 8. Let q be l(2). What is the third derivative of -4*t**2 - t**2 - q*t**3 + 34*t**3 wrt t? 96 Let l be (-2)/(-1)*10/4. Suppose -b + l*u = 0, 0*b - u = 2*b - 11. Find the second derivative of 8*t - 3*t + 62*t**5 - 51*t**b wrt t. 220*t**3 Suppose 0 = -2*a - a - l + 17, -3*a - 13 = -5*l. Suppose -a*s - 2*z + 10 = 0, -3*s + 17 = 2*s + z. Differentiate -8*y - 4 + 10 + s wrt y. -8 Let s be (76/57)/((-4)/(-6)). What is the third derivative of -10*k**5 + 5*k + 28*k**s - 5*k wrt k? -600*k**2 Suppose -18 + 8 = -5*u. Let r = -23 - -30. Find the first derivative of 0*t**2 - 4*t**2 - r + 2*t**u wrt t. -4*t Let i(j) = -39*j**3 - 7*j**2 - 7*j + 35. Suppose 25 - 3 = 11*p. Let f(w) = 13*w**3 + 2*w**2 + 2*w - 12. Let k(u) = p*i(u) + 7*f(u). Differentiate k(n) wrt n. 39*n**2 Let w(f) = -2*f**2 - 28*f + 56. Let r(y) = -y**2 - 9*y + 18. Let n(i) = -8*r(i) + 3*w(i). Differentiate n(q) wrt q. 4*q - 12 Let g(m) = -m**4 - m - 1. Let p = -746 + 752. Let k(w) = 0 + 0 + 15*w**4 + 6. Let r(f) = p*g(f) + k(f). Find the second derivative of r(t) wrt t. 108*t**2 Find the third derivative of 3*u**6 + 40*u**2 - 37*u**4 - 5*u**6 - 146*u**2 wrt u. -240*u**3 - 888*u Find the second derivative of 7*j - 13 - 7*j**4 + 2*j**4 + 1 + 3*j**2 + 11 wrt j. -60*j**2 + 6 Let h be 18/(-12)*(-1 - 3). Suppose 0*w
{ "pile_set_name": "DM Mathematics" }
tive. x**(539/15) Simplify (w/(w*w**(-1/6)*w)*w*w)**1/((w*w**6*w)/(w/w**(-10/9))) assuming w is positive. w**(-85/18) Simplify (i/(i/(i**(8/5)/i)*i)*i*i)/((i*(i/(i*i/(i**(-2/19)/i)))/i)/i)*i**(-1/14)*i*i**(-8)*i assuming i is positive. i**(-1817/1330) Simplify (i**6*i)**(-40)*i*i**(-1/16)*i**(3/8) assuming i is positive. i**(-4459/16) Simplify (a*a/a**(-13)*a*a*a**(-12))/((a**8*a)/(a**(-17)/a)) assuming a is positive. a**(-22) Simplify ((u*(u/(u**(-7/2)*u))/u)/u*u**(6/5))/(u**(-13/4)/u*u**(-6)*u*u) assuming u is positive. u**(239/20) Simplify (((c**(-5/6)/c)/c)/c*c**(-11/3))**(2/13) assuming c is positive. c**(-15/13) Simplify (f*(f/((f**(1/4)/f)/f*f))/f*f*f)**5/(f**(-11/6)/f**(-13)) assuming f is positive. f**(91/12) Simplify (b**(-2/15)*b*b*b/(b*b**(-1/4)))/(b**(2/3))**(-18) assuming b is positive. b**(847/60) Simplify (i*i/(i**(-5)*i)*i)**50*(i/((i*i*i/(i/(i*(i**(1/4)*i)/i*i)*i))/i)*i)**(13/5) assuming i is positive. i**(6987/20) Simplify (y**(-1/45)/y**(-4/11))**(-2/23) assuming y is positive. y**(-338/11385) Simplify (k*k**(-1/2))**(-1/3)*k*k/k**(-23)*k/k**(5/6)*k assuming k is positive. k**26 Simplify ((y*y**(-1/32)/y)/((y/(y**(-1)*y))/y))**(4/3) assuming y is positive. y**(-1/24) Simplify ((d**(-2/7)*d*d**(-1))**(1/13))**(3/17) assuming d is positive. d**(-6/1547) Simplify (i*i**7*i)**(-2/5)*i**17/(i**(-4/11)*i) assuming i is positive. i**(702/55) Simplify w**(12/11)*w*w/w**(-13)*((w*w**(-8))/w)**(1/18) assuming w is positive. w**(1549/99) Simplify ((x*x**(-2/7)*x)/x)**(19/3)/(x*((x/x**(-4/17))/x)/x*x**(5/8)) assuming x is positive. x**(10463/2856) Simplify j*j**10/j*j/((j*(j*j/(j/j**(-1/8)))/j)/j)*j**(3/8)/(j*j**(-8)) assuming j is positive. j**(37/2) Simplify (((a/a**5)/(a**3/a))/(a**(-2/7))**(4/17))**11 assuming a is positive. a**(-7766/119) Simplify y**(-17)*y/(y*y**(-1/6))*y**(24/13)*y/y**(2/15) assuming y is positive. y**(-5507/390) Simplify (o**(11/6)/o*o**(4/11))**37 assuming o is positive. o**(2923/66) Simplify (q/(q**15/q)*q**5)/(q**(3/5))**(-1/45) assuming q is positive. q**(-599/75) Simplify (((k/(k*k**(-12)*k))/k)/k*k*k/(k**8/k))/(k**(2/21)/k**0) assuming k is positive. k**(82/21) Simplify k**(1/3)/(k/(k*(k/(k*k**(-5/7)))/k))*k**(-10)/(k*k**(2/11)) assuming k is positive. k**(-2572/231) Simplify a**(-1/6)*a/(a**(3/10)/a)*(a**(-2/15)*a)/a*a*a/(a*a**(-7)) assuming a is positive. a**(47/5) Simplify (y**15*y**(-7/6)/y*y)/(y**(-3/5)/(y**(-14)*y)) assuming y is positive. y**(43/30) Simplify (t**(-2/5))**(22/9)/(t/(t/t**(-2/19)))**(14/9) assuming t is positive. t**(-232/285) Simplify (((h/(h/(h**(-1/11)*h)*h))/h)/h*h**(-13)*h)/(h**(1/11)*h/h**5) assuming h is positive. h**(-112/11) Simplify (c**8*(((c*c/(c/((c**(-6/5)*c)/c)))/c*c)/c)/c)/(c**(-1/4)/c*c**(-5)) assuming c is positive. c**(241/20) Simplify (d/(d*d**(-2/9)))/(d**(1/4)/d)*((d**(-2/15)/d)/d)**(-25) assuming d is positive. d**(1955/36) Simplify (t/(t*t**(10/7))*t**(1/17))/(t**32*t**(-3)/t*t) assuming t is positive. t**(-3614/119) Simplify (b**(1/3))**(-29/5)*b**2/(b*(((b*b/(b/(b*b**5)))/b)/b)/b) assuming b is positive. b**(-74/15) Simplify g**5/(g**(-5)*g)*(g/g**(-3))**(-42) assuming g is positive. g**(-159) Simplify (c**(2/9)*c**(-1/21)*c)/(c**8/(c/(c*c*c*c*c/(c*c/c**(-16))))) assuming c is positive. c**(452/63) Simplify ((b/((b**21/b)/b))/b**0)/((b*b**(4/13)*b)/b*b**9) assuming b is positive. b**(-368/13) Simplify w**(-10)/(w**(2/11)/w)*w**(-2/15)/(w**16*w) assuming w is positive. w**(-4342/165) Simplify ((r/(r/(r**(-4)/r)))/r)**(1/5)*(r*(r/(r/(r*(r**(-2/13)*r)/r)*r))/r*r)**(-1/58) assuming r is positive. r**(-4579/3770) Simplify (j*(j/(j/((j*(j/((j/(j**(2/13)/j))/j))/j)/j))*j)/j*j*j)**(-8/9)*j*j*j**(2/7)/j*j**(2/11) assuming j is positive. j**(-4027/9009) Simplify w**0*((w**(-3/10)*w)/w)/w*w**14/(w**(-10)/w*w*w) assuming w is positive. w**(217/10) Simplify i**(-2/9)/i**(9/2)*(i*(i/(i**12*i))/i*i)/i*i**0/i assuming i is positive. i**(-319/18) Simplify (((d/(((d/(d*(d*d**(-1/3))/d))/d)/d*d))/d**(-4))/((d*d*d**4)/d**(-3)))**34 assuming d is positive. d**(-340/3) Simplify (((z*z**(-1/4))/z)**(1/16)/(z**(-1/2)*z**(2/11)/z*z*z))**12 assuming z is positive. z**(-1473/176) Simplify (k**(-8)*k*k*k**(-3)*k)/(k**6)**(-9) assuming k is positive. k**46 Simplify (s**(-22)*s*(s**(8/3)*s)/s)**(-5/4) assuming s is positive. s**(275/12) Simplify (((((w**4/w*w)/w)/w*w)/w*w)/w**(4/3)*(w*w**(-1/4))**(4/15))**9 assuming w is positive. w**(84/5) Simplify (u*(u**(-2/21)*u)/u*u)/(u/(u*u**7/u))*(u*u**(1/6))**(-10) assuming u is positive. u**(-79/21) Simplify (t**(-1/2)/((t*t*t**(-6)/t*t)/t)*(t/(t*t*t**(-7)*t))/((t/((t/(t**(-9)/t)*t*t)/t))/t))**(-1/3) assuming t is positive. t**(-43/6) Simplify (l**(-3))**20*(l*l/l**(-1/4)*l)**(-17/3) assuming l is positive. l**(-941/12) Simplify y*y/y**10*(y**8/y)/y*y/(y*y**(-6))*y**3 assuming y is positive. y**7 Simplify (m**(-6)/m*m)**30*m**(1/30)/m*m*m/(m**(-3/4)/m*m) assuming m is positive. m**(-10693/60) Simplify ((w**2*w)**(-2/49)/(w**(1/3))**(-4/13))**(-10) assuming w is positive. w**(380/1911) Simplify (r*r**5)/(r/(r/(r**8/r)))*(r**1)**(-39) assuming r is positive. r**(-40) Simplify (v/(v/(v/v**33)*v)*v*v**(-6/7))**(-1/14) assuming v is positive. v**(115/49) Simplify (f/f**5)**(-8/9)*(f*f**(-8)*f)/(f/(f/f**9)) assuming f is positive. f**(-103/9) Simplify v**(-1)*v**(-1)*(v**2)**(-32) assuming v is positive. v**(-66) Simplify (i/(i/(i/i**12)))**(5/17)/(i/i**(-7))**(-1/6) assuming i is positive. i**(-97/51) Simplify ((y**(3/5)*y)/(y/(y*y**(-2/3))))/((y/y**5*y)/(y*y**14/y)) assuming y is positive. y**(269/15) Simplify (b**(-2/3))**25/(b**(-2/3)*b*b*b*b*b/b**(-2/7)*b) assuming b is positive. b**(-156/7) Simplify (b*b**(-10)/b*b*b)**(-3/10)*(b*b**(-1/14))/b**(-5) assuming b is positive. b**(583/70) Simplify (a**(-1/3))**(1/20)*a*a**(3/11)*a**(-1/6) assuming a is positive. a**(719/660) Simplify (v/(v**1/v)*v*v*v**(-9))/((v/v**7*v*v)/(v*v/(v/v**7))) assuming v is positive. v**6 Simplify ((t**(1/2))**24/(t**(-2)*t/t**(-1/9)))**15 assuming t is positive. t**(580/3) Simplify l**12/l**(1/3)*((l*l**1)/l)/l**(-6) assuming l is positive. l**(56/3) Simplify ((u*u*u**14)/(u*((u*u*u/(u*u*u*u/(u/(u**(-15)*u))*u*u*u*u)*u)/u)/u))/((u/(u*u**(-16)*u))/u*u**(-5)) assuming u is positive. u**(-3) Simplify (z*z**(2/5))/(z*z**(-8))*(z**(1/4))**4 assuming z is positive. z**(47/5) Simplify g**4/g**(3/8)*(g**(15/7))**(1/4) assuming g is positive. g**(233/56) Simplify (d*d*d*d**(-14)*d)/d**(6/11)*((d*d**(-6))/d)/(d/(d**(-12)*d)) assuming d is positive. d**(-314/11) Simplify (i**(2/37))**(2/13)/((i/((((i/i**(-5/4)*i*i)/i)/i)/i*i*i)*i)/i**(13/5)) assuming i is positive. i**(37117/9620) Simplify (((n*n**(-2)*n*n)/n**0)**(15/8))**(-3/20) assuming n is positive. n**(-9/32) Simplify (a**(-14)*a**(4/9))/((((a*a*a/((a/(a**(-5)/a))/a)*a*a*a)/a*a*a*a)/a)/a**(3/7)) assuming a is positive. a**(-890/63) Simplify ((o**(-11))**(3/2))**0 assuming o is positive. 1 Simplify ((s**(2/3)*s**(5/4))**(-40))**8 assuming s is positive. s**(-1840/3) Simplify ((q/(q**(3/5)/q)*q)/((q*q*q*q/(q*q**2)*q)/q*q)*(q**(-1))**(-20))**(2/53) assuming q is positive. q**(204/265) Simplify r/(r*r**(2/3)*r)*r**(-2/19)/r*(r*r**(2/5)/r)**(-16/5) assuming r is positive. r**(-5774/1425) Simplify ((a*a**(2/33)*a*(a/a**(-4/3))/a)/((((a*a/(a**(1/3)*a))/a)/a)/(a/(a*a**(2/3)))))**(-5) assuming a is positive. a**(-670/33) Simplify (j*(((j/(j**(-2/15)/j))/j)/j)/j*j*j)/j*j**(1/10)*j**(1/2)*j**9 assuming j is positive. j**(161/15) Simplify ((z/(z*z/(z*z**(-1/4))*z))**36*z**(1/2)/(z/(z/(z**(1/9)/z))))**(1/55) assuming z is positive. z**(-157/198) Simplify (((d/(d**(-4)/d*d))/d**(-6))/(d**6/d*d*(d**(-3/2)/d*d)/d))**(-22/3) assuming d is positive. d**(-55) Simplify ((d/(d**1/d)*d)/d**(3/17))/((d*(((d*d**(-14)*d)/d)/d)/d*d)/d**(-9)) assuming d is positive. d**(99/17) Simplify ((a**(-1))**(-6/13)*(a**(-1/2))**(-11))**(16/3) assuming a is positive. a**(1240/39) Simplify (x**12/(x*x**11))/((x*x**(-2/11))/x*x**(5/3)) assuming x is positive. x**(-49/33) Simplify (x/x**(-3/10))/x*x/(x/(x*x**3/x*x))*x**(-10)/(x*x**(1/21)) assuming x is positive. x**(-1417/210) Simplify (r**(4/3)/r**(-2/33))/((r/(r*r**(-7)/r*r))/(r/r**(-1/12))) assuming r is positive. r**(-199/44) Simplify (y**(-34)*y**(1/8)*y)/(y*(y*y/(y*y*y*y**(-3/11)*y))/y*(y*y**(-1/14)*y*y)
{ "pile_set_name": "DM Mathematics" }
rime? True Suppose 2*c + 2 = -2*b, -12 = b + 5*c + 9. Suppose b*w - 53 = 3. Let o(h) = 12*h + 17. Is o(w) composite? True Let d(j) be the second derivative of -13*j**5/10 - j**4/12 - j**3/6 + 5*j**2/2 + 15*j. Is d(-3) a prime number? True Suppose 0 = -20*w + 6*w + 3485734. Is w a prime number? True Let d = 67 + -63. Suppose -1730 = -c - p, -d*c = -9*c + 3*p + 8674. Is c a prime number? True Suppose v = -2*v - v. Suppose 2*a - 8*a + 474 = v. Is a prime? True Let u(x) be the second derivative of x**4/12 - 4*x**3/3 + 11*x**2/2 + 95*x. Let d(c) = 3*c + 1. Let i be d(3). Is u(i) prime? True Is 0 + (-955)/(-4) + (-44)/(-176) a composite number? False Let a(w) = 15*w + w**3 - 3*w**2 + 4 - 3 - 16*w. Let x be a(3). Is (-2)/x*(226 + -3) composite? False Is 40/8 + -10 - 132*-26 prime? False Let l be (1/((-5)/(-1210)))/2. Suppose 6 = -5*o + l. Is o composite? False Let c = 23 + -21. Suppose -3*y = 3*d - 15, c*d - 4*d + 4*y = -28. Is (777/(-12))/((-2)/d) a prime number? False Suppose 2*r + 763 - 8329 = 0. Let o = r + -1546. Is o prime? True Is ((-16)/6 + 5)/((-2)/(-3882)) composite? True Let l(s) = 3*s - 17. Let x be l(5). Suppose -3*a + 1 = 3*h - 2, 2*h - 11 = a. Is h + 4/x - -125 prime? True Let b = 13 - 11. Suppose -b = a + 16. Let s = -12 - a. Is s prime? False Let w be (-1 + -3 + 6)/2. Let z(n) = -676*n**3 + 2*n**2 + 2*n + 3. Let d(t) = -677*t**3 + 3*t**2 + 2*t + 4. Let b(f) = 4*d(f) - 5*z(f). Is b(w) composite? False Is -5 - ((-167412)/34 + 68/(-578)) a prime number? True Let h(n) = -5 - 5 + 3*n**3 + 1 - n + 6*n**2 - 4*n**3. Let l(s) = s**3 - 7*s**2 + s + 10. Let t(i) = -3*h(i) - 2*l(i). Is t(5) composite? False Suppose 0 = 5*v + 3*w - 39, v - 2*w + w - 11 = 0. Let i = v - 5. Is (3/i + 0)*8 composite? True Let p(n) be the third derivative of n**5/30 + n**4/8 - 22*n**2. Suppose -5*o = -4*w - 59 + 11, 9 = w + 4*o. Is p(w) composite? True Suppose 6*y = y + 3*r - 12217, 5*r + 4862 = -2*y. Let q = -1164 - y. Is q a composite number? False Is (4 + 15)/(1 - 2390/2395) a composite number? True Let j(f) = -f**2 + 8*f + 3. Let q be j(7). Suppose -a + 6*a = q. Suppose 0 = 4*h - 26 + a. Is h prime? False Suppose 3*d + 4040 = 7*d. Suppose 0 = -2*m - 16 - 4. Is (-12)/m*d/4 prime? False Suppose a + 0 = -1. Let r(t) be the third derivative of 509*t**5/60 - t**4/12 - t**3/3 + 3*t**2. Is r(a) prime? True Let o(i) be the first derivative of 95*i**2/2 + 11*i - 1. Suppose 0 = 9*t - 14*t + 30. Is o(t) a prime number? False Let y(t) be the second derivative of 31*t**7/1260 - t**5/120 - 2*t**4/3 - 4*t. Let b(w) be the third derivative of y(w). Is b(-2) a prime number? False Let v = 708 - 1221. Let r be ((-40)/(-3))/(1/(-72)). Let q = v - r. Is q a composite number? True Suppose 2*r - 3*q - 10 = 0, r = 7*q - 2*q + 12. Let i be (8/(-12))/r*-9. Suppose -i*a + 62 = 4*g, 2*g = 3*a - a - 46. Is a prime? False Let i be (-57)/(-5) - ((-12)/15)/(-2). Let v(k) = 19*k - 18. Is v(i) a prime number? True Let v be 3*92/24 - 7/14. Suppose v*d - 17238 = 1121. Is d a composite number? False Suppose 201*v - 42285 = 196*v. Is v a composite number? True Suppose -d = -4*d - 15, 0 = -w + 3*d - 8. Let h = 28 + w. Suppose -1624 = -h*x - 3*x. Is x a prime number? False Suppose 0 = 29*q - 1219492 - 43197. Is q prime? True Let b = 4928 + -2305. Is b a composite number? True Suppose -24*y + 26*y - p - 31999 = 0, y - 16010 = -3*p. Is y prime? True Let x(v) = v**3 - 11*v**2 + 10*v + 2. Let c be x(10). Suppose -1972 - 1126 = -4*o - c*i, 0 = -5*i + 15. Suppose -6*k = -o - 2221. Is k a composite number? False Is 2534436/252 - 2/7 a prime number? False Let k(a) be the second derivative of a**5/5 + 3*a**4/4 - a**3/2 - 7*a**2/2 + a. Let g be 25/10*(-1 - 17/(-5)). Is k(g) a prime number? True Let a(p) = -p**3 + 10*p**2 + p - 16. Let v be a(10). Is -1114*(-4 + (-21)/v) composite? False Let d = -12 - -14. Suppose 0 = 3*p - d*z - 30, 41 = 5*p + 2*z + 7. Is (-5844)/p*(-8)/12 prime? True Suppose 1811 = 8*o - 2773. Is o prime? False Let q = 4 - 0. Suppose 2*w + 27 + 12 = -m, -q*m - 2*w = 126. Let b = m + 124. Is b composite? True Suppose -17*w - 904465 = -54*w. Is w a composite number? True Let w(y) = 5*y**2. Let v be w(-1). Suppose 6*o + 4 = v*o. Let r = 55 + o. Is r a composite number? True Let b be 20/2*12/30. Suppose j + b*v = -4*j + 5705, 3445 = 3*j - 2*v. Is j a prime number? False Let o = 10276 + -3945. Is o a prime number? False Let g = 5853 - -12416. Is g prime? True Suppose 0*m - 4*n - 33437 = -3*m, -3*m = 2*n - 33425. Is m prime? False Is (-2 + 45/2)/((-10)/(-940)) composite? True Let z = 263 + -12. Is z a prime number? True Let n(u) = -u**3 - 11*u**2 + 5. Let c be n(-11). Suppose h = 4*b + 2 - 13, 2*h - c*b + 10 = 0. Suppose -5*w - 3*v + 184 = 0, -117 = -h*w - 4*v + 70. Is w prime? False Suppose 0 = 4*v - 5*v. Suppose -t = -5 - v. Suppose 1 = -x, 2*s - 289 - 1290 = t*x. Is s a prime number? True Is (-6)/(-105) + (-8676798)/(-910) a composite number? True Let j = 80 - 125. Let y be 2 - (-96 + -1) - -5. Let z = y - j. Is z prime? True Suppose 0 = -x + 5*n - 23, -4*x - 2*n + 6*n = 12. Suppose 0 = -x*m - 3*m + 715. Is m composite? True Let o be 146/(-6) + (-2 - (-35)/15). Let y = o - -4909. Is y composite? True Suppose 5*b = -q + 4349, -1743 = -b - b + 3*q. Is (-3)/((-27)/b) + 6/18 composite? False Suppose -3*k = -5*k + 3*r + 119, k = -4*r + 54. Let y = 45 + k. Is y prime? True Let f be 45/(-6)*6/9. Let a(g) = -g. Let p be a(f). Is 15 + p + 1*3 a prime number? True Suppose -k - 5*i - 9 = 0, 2*k + 9 = -2*i + 23. Suppose 7*v + 4964 = k*v. Is v composite? True Let f = 3347 + -1959. Let w = -945 + f. Is w a prime number? True Let t = -1076 - -3597. Is t composite? False Let m be (0/1)/(-1)*10/(-10). Suppose 2*d + m*i - 3*i - 914 = 0, -i - 1357 = -3*d. Is d a prime number? False Let b(y) = -3*y**2 + 24*y + 4. Let o be b(8). Suppose -o*t + 8*t - 4292 = 0. Is t composite? True Let s = 2060 - 1433. Suppose -3*m - 3*m + 12 = 0. Suppose -5*q + m*q + s = 0. Is q a composite number? True Suppose 8*s - 6 = 11*s, -21001 = -5*u - 2*s. Is u composite? False Let t(o) = o - 1. Let l(n) = 65*n - 18. Let k(m) = l(m) - 5*t(m). Is k(8) composite? False Let s(j) = -32*j - 5. Suppose -8*z + 6 = -5*z. Suppose z*k + 40 = -3*k. Is s(k) composite? False Suppose m - 517 = -0*m. Is m a prime number? False Let b(j) = -1835*j**3 - 4*j**2 - 3*j - 8. Is b(-2) composite? True Let b = 61 + -43. Let h = b - 15. Suppose 5*w - h*q = 4342, 103 + 762 = w - 4*q. Is w a composite number? True Let a be (-1)/(-1*(-2)/(-134)). Suppose -94 - 923 = -9*h. Let j = h - a. Is j a prime number? False Let r = 19 + -17. Is ((-1048)/24)/(r/(-18)) a prime number? False Let p(b) be the first derivative of -1/3*b**3 + 7 - 1/2*b**2 + 413*b. Is p(0) a composite number? True Suppose -52554 = -2*w - 2*b, 131425 = -8*w + 13*w - 5*b. Is w a composite number? True Let r = 51 + -2. Let c(p) = -p + 15 + r + 5. Is c(0) a prime number? False Let h = 10 + -18. Let r be ((-3 - -6) + -2)*h. Is -12*28/r - 3 prime? False Is ((-652)/(-16))/(3/12) a composite number? False Suppose 4*z = a + 61225, -33*a + 35*a = -2*z + 30600. Is z a composite number? True Is 1 + -5 + (4429 + 5 - 9) composite? False Let j be (-138)/(-12)*(0 + -2). Let q be (j - -23)/(1 - -1). Suppose -h - 465 = -5*t, 3*t - 279 = -q*h - 2*h. Is t composite? True Let n = -91492 - -268677. Is n a composite number? True Let q = -1242 + 10129. Is q composite? False Let m be (-55)/5*-91 + 2. Let j = m - 696. Is j prime? True Suppose 2*y = -0*y - 10, -3*y = -5*a + 35. Is ((-7)/a)/(2/(-184)) a composite number? True Let d = 11 - 6. Suppose -5*g - 42 = -6*g. Let p = g - d. Is p a prime number? True Let r(t) = 79*t**3 + 11*t + 23. Is r(6) composite? True Let v(w) be the third derivative of -7*w**4/24 + 3*w**3/2 - 8*w**2. Is v(-4) composite? False Suppose 10*h = 12*h - 774. Let m = h + 560. Is m a prime number? True Suppose 7*x - 15391 - 13890 = 0. Is x a prime number? False Let o = -292 - -739. Is o composite? True Suppose -5*q - 3643 = -4*d, -3*d + 3*q = 2*q - 2724. Is d composite? False Let o(x) be the first derivative of 44*x**2 + x + 11. Is o(1) prime? True Let n(j) = 8*j**2 + 55*j - 17. Let c(p) = 8*p**2 + 55*p - 17. Let g(l) = 6*c(l) - 5*n(l). Is g(-16) composite? False Let m be (125 - (4 - 1)) + (1 - 3). Let n = m +
{ "pile_set_name": "DM Mathematics" }
g(c) = 13*c - 3. Is 7 a factor of g(f)? False Let w be -1 + 4/2 - -7. Suppose 0 = -2*s - 4 + w. Let t(v) = 10*v + 1. Is 12 a factor of t(s)? False Let q = 280 - -35. Does 45 divide q? True Let w(x) = x**2 + 11*x - 18. Is 14 a factor of w(-17)? True Suppose 0 = 3*d + 4*z - 56, 7*d - 4*z = 3*d + 28. Is d a multiple of 12? True Suppose 4*j = 2*j. Suppose 4*h - 3*h - 7 = j. Is 5 a factor of h? False Suppose -4*m - 2*x + 278 = -m, -x + 277 = 3*m. Is 3 a factor of m? False Let t = 0 - -2. Suppose -q = -t*q + 3. Is 2/q*6*3 a multiple of 9? False Suppose 2*n - 382 = -96. Does 20 divide n? False Let q = 34 + -3. Let i = q - 9. Is i a multiple of 7? False Let p = -13 - -1. Let j = p - -22. Let s = j + 28. Does 22 divide s? False Let v = 48 - 11. Is v a multiple of 9? False Let q(g) be the second derivative of -g**5/20 - 3*g**4/4 - 3*g**3/2 + 3*g**2 - g. Does 7 divide q(-8)? True Suppose -3*x = d - 23, 0 = x - 2*x + 3*d + 1. Suppose 9 = -4*z - x, -k = 2*z. Does 3 divide (-4 - -6) + k/2? True Suppose -5*d = 4*z - 86, -3*d + 32 = -d + z. Does 2 divide d? True Suppose 0 = -7*a + 9*a - 26. Does 12 divide a? False Suppose -5*v + 8*v - 75 = 0. Is v a multiple of 5? True Is 3 a factor of (-4)/(3 + 19/(-6))? True Let h = 294 - 189. Is 7 a factor of h? True Suppose m + 608 = 9*m. Is m a multiple of 14? False Suppose 5*d = 0, -6*c + 4*d = -2*c - 12. Suppose -z - c*n - n - 4 = 0, -z = n + 16. Let a = -6 - z. Does 14 divide a? True Let i(k) = -k**2 + k + 1. Let v be i(0). Let d(z) = 9*z**3 - z**2 - z + 1. Is d(v) a multiple of 7? False Is 1/(-2 + 225/111) a multiple of 9? False Let c be (16/4)/((-1)/164). Let g = -22 - -4. Is 4/g + c/(-36) a multiple of 9? True Let q(x) = -145*x**3 + x**2 - 1. Let c be q(-1). Suppose w - 6*w + c = -5*f, 2*w - 55 = -f. Is w a multiple of 17? False Let u(c) = 1 + 8*c**2 - c - 3*c**2 + 1 + 1. Does 17 divide u(-3)? True Let q = -18 - -18. Suppose 2*s - 126 - 52 = q. Is s a multiple of 15? False Let k(u) = u**3 + u**2 + 2*u + 1. Let p(g) = 2*g**3 - 2*g - 1. Let t be p(-1). Let v be k(t). Let w = v - -5. Does 3 divide w? False Let j(a) = a**3 - 11*a**2 + 5*a - 10. Is 15 a factor of j(11)? True Let i(q) = 3*q**2 + 3*q + 5. Does 19 divide i(-6)? True Let m(z) = -2*z**2 + 5*z - 2. Let o be m(3). Let p(g) = g**2 + 4*g + 2. Is 7 a factor of p(o)? True Let k(a) = 52*a**2 - 1. Let g(r) = r - 2. Let s be g(3). Let h be k(s). Suppose -3*n = 5*d - h, 0 = n - 3*d + 8*d - 7. Is n a multiple of 10? False Let v(b) be the first derivative of b**4/6 + b**3/2 - b**2/2 - 2*b + 1. Let h(m) be the first derivative of v(m). Is 13 a factor of h(2)? True Let y(m) = 3*m**2 - m - 13. Let d(x) = 2*x**2 - x - 7. Let i(a) = 5*d(a) - 3*y(a). Is 13 a factor of i(-5)? True Suppose 5*g - q - 2030 = 0, -4*g + 7*g = -3*q + 1236. Does 67 divide g? False Suppose 2*a - 143 = -91. Is a a multiple of 2? True Is (-3)/(30/65)*-4 a multiple of 26? True Suppose 107 = 4*z - 3*j, -3 + 8 = -j. Is 6 a factor of z? False Suppose -18 = -3*w + w. Let t = -6 + w. Suppose -t + 42 = h. Is h a multiple of 14? False Is (1 - 0)/(13/923) a multiple of 11? False Let t(w) = w + 8. Let h(b) = -b**3 - 7*b**2 - 8*b - 6. Let k be h(-6). Is 6 a factor of t(k)? False Let h(i) = -i + 1. Let b(y) = 4*y - 11. Let d(f) = b(f) + 6*h(f). Is d(-6) a multiple of 7? True Let a(g) = -18*g - 3. Let b be a(-2). Suppose 0*j + 3*j - b = 0. Does 7 divide j? False Let g(w) = w**2 + w + 6. Does 6 divide g(-6)? True Suppose -2*p + 5 = -63. Is p a multiple of 16? False Suppose 0*k - 5 = -5*k - z, 3*k - 2*z + 10 = 0. Suppose k = -2*s - 0*s + 14. Does 7 divide s? True Let s = -111 - -119. Is 2 a factor of s? True Let u = 1 - 1. Suppose -3*a = -u*a - 69. Is 23 a factor of a? True Let r = 2 + -4. Let o = 10 + r. Does 8 divide o? True Suppose -2*b + 1 = -3*b. Let v(f) = -32*f + 1. Is v(b) a multiple of 11? True Let y be (14 + 4)*(-2 - -1). Does 3 divide 2/(2 - y/(-10))? False Suppose 16 = 4*p, 0*o - 5*p = -4*o + 4. Suppose -2*r = -5*r + o. Suppose 0 = 3*l + 2*l + 2*c - 84, l - 12 = r*c. Is 8 a factor of l? True Let r be (-1 - 1)/(0 - 1). Let a be 2*(r/(-2) + 7). Is (2 + a - 1) + -2 a multiple of 11? True Suppose -5*l + 13 = -147. Is l a multiple of 16? True Is 3/2 - (-1656)/16 a multiple of 23? False Suppose 0 = 4*z + 5*b - 28, 4*z = 2*b - 0*b. Suppose 0 = -2*g + 5*x + 56, 11 + 51 = z*g - 2*x. Let q = g - 23. Does 6 divide q? False Let v be 6/3*166/(-4). Is v/(-5) - 18/30 a multiple of 6? False Is 10 a factor of (1662/(6/(-1)))/(-1)? False Let x be ((-6)/(-2))/(2/8). Suppose 0 = 3*n + n - x. Suppose -5*q = -5*l + 230, 3*l + n*q - 5*q = 134. Does 25 divide l? False Suppose -2*d - 3*d + 263 = 4*m, -2*d = 10. Is m a multiple of 18? True Let v(d) = d**3 - 6*d**2 + 7*d - 6. Let p = 4 + 2. Let j(r) = -r**3 + 6*r**2 + 2*r - 6. Let a be j(p). Does 12 divide v(a)? True Suppose -2 = b - 4. Let w(i) = i**2 + 8*i + 8. Let z be w(-8). Suppose b*k - z = k. Is k a multiple of 6? False Let m = -104 - -265. Does 23 divide m? True Suppose -2 = 5*g - 22. Suppose -5*x + 125 = 5*v, -g*v + 0*x + 4*x + 108 = 0. Is 26 a factor of v? True Suppose -m + 3*z = 6 - 5, -m = z + 5. Let n be ((-2)/m*0)/1. Suppose -b + n*b = -3*a - 10, 5*b + a = 114. Does 13 divide b? False Let q be (-2)/(-11) + 202/(-22). Let l = -7 - q. Suppose z + 2*j - 96 = -3*z, -l*z + 48 = 3*j. Is 9 a factor of z? False Let b(m) be the second derivative of m**5/20 + 7*m**4/12 + m**3 - 3*m**2 - 3*m. Let s(j) = -4*j**2 - 1. Let r be s(-1). Does 5 divide b(r)? False Suppose -2*n + 0*n + 60 = 2*f, -4*n - 5 = -f. Is 3 a factor of f? False Let u = 20 + -17. Suppose -3*v + 133 = -5*o, 4*v + 4*o - 52 = 72. Suppose -v = -u*s + 33. Does 14 divide s? False Is (3/(-1) - -63)/1 a multiple of 20? True Suppose -4*n - 10 = -2*g, g - 7 = 7*n - 3*n. Let x be (-2 - -2) + g + 14. Suppose 3*f - x = 7. Is f a multiple of 4? True Let r(c) = 40*c. Let h(m) = 8*m. Let n(l) = 14*h(l) - 3*r(l). Let v be n(-2). Suppose 4*j - 57 + v = -5*f, 5*f = -5*j + 45. Does 4 divide j? True Let w(i) = -i**3 + 4*i**2 + 3*i - 5. Suppose 0 = -0*g + g - 4. Is w(g) a multiple of 7? True Let b = 141 - 122. Is 2 a factor of b? False Let q = -16 + 26. Is q even? True Suppose 2*d = 7*d - 15. Suppose -64 = -2*p - 5*w, -d*p - 3*w = -86 + 8. Is 11 a factor of p? True Let f be ((-19)/4)/((-5)/20). Suppose 0 = 3*a - 2 - f. Is a a multiple of 2? False Let p(h) = -2*h + 2*h - 4 - 5*h. Does 22 divide p(-14)? True Suppose -3*y + 12 = 4*m, 3*y - 12 = -5*m - 0. Suppose -4*a + y*k = -192, 0 = -a - 0*k - 5*k + 24. Let t = 65 - a. Is 9 a factor of t? False Let r = 4 - 5. Let v(w) = -w**2 - w + 1. Let o(y) = 20*y**3 + 2*y - 1. Let p(i) = -o(i) - 2*v(i). Is 21 a factor of p(r)? True Is 7 a factor of 13/2 - 12/(-24)? True Let v be -151 - (-4 - -2 - -4). Is 8 a factor of v/(-17) - (1 + -1)? False Let c(w) = -w**2 - 6*w - 6. Let q be c(-4). Is 2 + (2 - q/(-2)) a multiple of 2? False Let b(g) = g**3 - g**2 + g - 2. Let w be b(0). Let x be w - (-38 + 0/(-3)). Let i = x + -25. Is 8 a factor of i? False Is 2/(16 + -13 - (-890)/(-298)) a multiple of 50? False Suppose 4*i - 5*i = c + 5, 2*c = i - 13. Let g(z) = 13*z - 3. Let a be g(c). Let k = -48 - a. Is 10 a factor of k? False Suppose -8 = 4*a, z + 4*a + a = 11. Suppose 3*d + 13 = -j, -4*j + 5*d + 35 = 2. Suppose -42 = -2*r - j*f, -2*r + z = -2*f - 17. Does 10 divide r? True Let o be ((-16)/(-10))/(4/(-110)). Let a = 67 - o. Is a a multiple of 37? True Suppose -77 = -a + 59. Is 34 a factor of a? True Let a = 193 - 105. Is a a multiple of 20? False Let k = 3 - 0. Let v = 23 - k. Is 20 a factor of v? True Suppose -3*m - 110 = -2*c, c + 0*c - 44 = -4*m. Suppose c - 4 = 3*f. Is f a multiple of 16? True Let t be (-18)/4*110/15. Is 4 a factor of (-336)/t + 2/(-11)? False Let l(a) = -5*a**3 - 2*a**2 + 2*a. Let j be l(2). Let k = 74 + j. Is 10 a factor of k? True Let x = 5 - -1. Is x even? True Suppose 0 = -3*x + 5*k - 0 - 6, -3*x + 3*k = 0. Suppose z = x + 37. Is z a multiple of 20? True Let h(n) = 2*n**3 + 2*n**2 - 7 - n**3 + 6. Let q be h(-1). Suppose -x - k - 4*k + 24 = q, 5*x + 5*k - 40 = 0. Does 2 divide x? True Let c(n) be the first derivative of -n**2/2 - 5*n - 2. Let k be c(-8). Suppose w = -k + 17. Is w a multiple of 9? False Let v = 3 + -3. Suppose -2*o = 5*z - 7 - 29, v = -z + 5*o - 9. Is z a mult
{ "pile_set_name": "DM Mathematics" }
36*x**2 + 32*x + 19. Give c(-35). 124 Let n(t) = 18*t**2 + 36*t - 207. Determine n(-4). -63 Let o(j) = -2*j**2 - 48*j - 170. Give o(-20). -10 Let i(k) = -3*k**2 + 423*k + 5506. Give i(153). -2 Let g(p) = 3*p**2 - 7*p - 7. Determine g(3). -1 Let h(f) = -f**3 - 2*f**2 + 85*f + 5. Determine h(0). 5 Let b(d) = d**2 + 54*d + 78. Give b(-53). 25 Let x(s) = 2*s**3 - 16*s**2 - 38. What is x(7)? -136 Let h(p) = 10*p**2 - 296*p - 124. Determine h(30). -4 Let k(n) = n**2 + 5*n - 132. Determine k(-14). -6 Let f(w) = 2*w**3 + 135*w**2 + 2271*w - 32. Determine f(-32). 0 Let m(u) = 5*u - 889. What is m(117)? -304 Let j(t) = -t**3 - 33*t**2 + 49*t - 747. Give j(-35). -12 Let u(w) = 12*w + 452. Determine u(-37). 8 Let n(u) = 32*u + 1283. What is n(-40)? 3 Let l(z) = -2*z**3 + 32*z**2 - 73*z - 254. What is l(12)? 22 Let f(v) = 4*v**3 - 5*v + 3. Give f(-4). -233 Let l(z) = -13*z**3 - 3*z**2 - 5*z - 1. What is l(-2)? 101 Let a(n) = 9*n**2 + 2*n + 98. What is a(5)? 333 Let w(m) = -m**3 + 11*m**2 - 21*m + 14. What is w(7)? 63 Let b(f) = -f**2 - 455*f + 9995. Determine b(21). -1 Let s(v) = 2*v - 100. Determine s(58). 16 Let k(f) = -f**2 + 331*f + 3406. Determine k(-10). -4 Let c(a) = a**3 - 7*a**2 + 16*a - 45. Calculate c(4). -29 Let c(l) = -16*l - 190. Give c(-6). -94 Let z(j) = -j**2 + 22*j - 4. Give z(16). 92 Let s(m) = -395*m - 1577. Determine s(-4). 3 Let i(v) = -2*v**3 - 11*v**2 - 24*v + 8. Give i(-4). 56 Let z(a) = 37*a - 1778. Determine z(46). -76 Let y(s) = s**3 - 10*s**2 - 7*s + 147. What is y(5)? -13 Let q(x) = -5243*x + 31464. Determine q(6). 6 Let j(k) = k**2 - 81*k + 1581. Calculate j(35). -29 Let o(y) = y**3 + 69*y**2 + 2*y + 230. What is o(-69)? 92 Let w(f) = 10*f + 72. Determine w(-14). -68 Let v(f) = -f**2 - 16*f + 365. Determine v(13). -12 Let z(k) = -8427*k - 109561. Give z(-13). -10 Let z(u) = 9*u**2 - 239*u - 70. Calculate z(27). 38 Let k(n) = -n**3 - 17*n**2 - 3*n - 97. Calculate k(-17). -46 Let p(u) = 525*u - 3190. What is p(6)? -40 Let l(f) = -f**3 + 37*f**2 - 324*f + 44. Give l(23). -2 Let r(s) = -79*s + 3799. What is r(48)? 7 Let u(v) = -3*v**3 - 64*v**2 + 116*v + 53. Calculate u(-23). 30 Let f(x) = 581*x + 2904. What is f(-5)? -1 Let u(b) = -18*b**3 + 2*b**2 - 6*b + 3. Give u(1). -19 Let v(f) = -f**2 - 994*f + 3988. Give v(4). -4 Let p(l) = -755*l - 10610. What is p(-14)? -40 Let o(u) = -3*u**3 - 89*u - 201. Determine o(-2). 1 Let d(t) = -129*t - 665. Calculate d(-3). -278 Let t(x) = -2*x**2 - 146*x + 178. Give t(-74). 30 Let o(u) = -2432*u + 4865. What is o(2)? 1 Let y(x) = -53*x**2 + 149*x - 15. Give y(3). -45 Let q(j) = -j**3 - 51*j**2 + j + 65. Calculate q(-51). 14 Let u(c) = c**2 - 9*c - 2731. Give u(57). 5 Let f(n) = 37*n**2 - 15*n + 5. Give f(-1). 57 Let m(b) = -259*b - 43. Give m(1). -302 Let w(j) = 115*j + 22190. What is w(-193)? -5 Let h(v) = -5*v - 117. Calculate h(-12). -57 Let p(f) = f**3 + f**2 - 6*f - 43. Determine p(-5). -113 Let i(g) = -3*g**2 + 251*g - 2863. Calculate i(70). 7 Let n(p) = 34249*p - 34256. Calculate n(1). -7 Let y(q) = -q - 10. Determine y(3). -13 Let k(v) = -2*v**3 - 171*v**2 + 106*v + 1720. Determine k(-86). 0 Let h(v) = v**2 - 5*v - 329. What is h(21)? 7 Let v(b) = 37*b + 425. Determine v(-11). 18 Let k(v) = -v**3 - 17*v**2 - 38*v - 364. Give k(-16). -12 Let f(v) = -v**3 - 2*v**2 - 99*v - 297. What is f(-3)? 9 Let t(v) = v**2 - 25*v - 351. Give t(34). -45 Let y(k) = 5*k**3 + 95*k**2 - 89*k + 214. Give y(-20). -6 Let m(y) = 2*y**2 - 705*y + 32713. What is m(55)? -12 Let p(v) = -v**3 + 62*v**2 + 9*v - 367. What is p(62)? 191 Let w(a) = -2*a**2 - 3*a - 6. Give w(7). -125 Let z(b) = 4*b**3 + 190*b**2 - 3293*b + 53. Calculate z(-61). -8 Let i(h) = -342*h - 716. What is i(-2)? -32 Let v(o) = 2*o**3 + 17*o**2 + 6*o - 11. Give v(-8). 5 Let d(n) = -n**3 - 28*n**2 + 23*n - 180. What is d(-29)? -6 Let f(i) = 347*i - 1025. Determine f(3). 16 Let k(a) = -88*a - 5538. Calculate k(-63). 6 Let a(h) = 2230*h + 22299. Calculate a(-10). -1 Let m(h) = h**3 - 41*h**2 + 25*h - 371. Give m(41). 654 Let s(l) = l**2 - 40*l - 390. Determine s(48). -6 Let k(g) = 2*g**2 - g + 3. Determine k(7). 94 Let h(p) = -p**3 + 21*p**2 + 20*p + 50. Determine h(22). 6 Let k(t) = 39*t**2 - 780*t + 70. Give k(20). 70 Let y(w) = -w**3 + 22*w**2 + 41*w + 254. Calculate y(23). 668 Let o(c) = -c**2 - 12*c - 108. What is o(-10)? -88 Let d(z) = -z**3 - 4*z**2 - z - 6. Calculate d(-5). 24 Let t(y) = 793*y + 13473. What is t(-17)? -8 Let l(y) = -12*y**2 - 180*y - 363. What is l(-2)? -51 Let y(l) = 2*l**2 + 125*l - 1369. Determine y(10). 81 Let d(j) = -2*j**3 - 9*j**2 - 2*j + 7. Determine d(3). -134 Let y(i) = -82*i**2 + 736*i + 11. Calculate y(9). -7 Let w(q) = 120*q - 153. Determine w(6). 567 Let z(c) = 2*c**3 + 16*c**2 - 99*c - 800. Give z(-7). -9 Let z(c) = -c**3 + 4*c**2 + 11*c + 62. Determine z(10). -428 Let z(o) = -2*o**2 - 10*o + 231. What is z(-18)? -237 Let d(o) = -69*o - 31. Calculate d(-2). 107 Let f(w) = -w**3 + 26*w**2 + 44*w + 330. What is f(28)? -6 Let u(b) = 4701*b - 14100. Give u(3). 3 Let i(l) = -11*l - 826. Calculate i(-75). -1 Let u(c) = c**3 - 78*c**2 - 750*c + 53007. Give u(79). -2 Let f(k) = -18*k + 737. Calculate f(41). -1 Let i(s) = 25*s**3 - 14*s - 13. Give i(-1). -24 Let l(i) = -1863*i - 1885. Calculate l(-1). -22 Let i(t) = 16*t**2 + 62*t - 275. Calculate i(4). 229 Let m(d) = -1382*d - 10856. What is m(-8)? 200 Let c(g) = g**2 - 207*g + 1203. What is c(6)? -3 Let y(u) = -26*u**2 + 402*u + 10. Calculate y(15). 190 Let s(z) = 76*z + 169. What is s(-4)? -135 Let u(q) = 264*q - 257. Give u(-1). -521 Let b(a) = 140*a - 473. What is b(4)? 87 Let h(u) = -u**3 + 7*u**2 - 35*u + 64. Give h(3). -5 Let i(o) = -2*o**2 - 21*o + 142. Give i(6). -56 Let m(x) = -x**3 - 29*x**2 + 21*x - 273. Give m(-30). -3 Let r(p) = -p**2 - 3*p - 19. Give r(-8). -59 Let t(b) = -3*b**2 - 4430*b + 35634. What is t(8)? 2 Let y(o) = 4*o**2 + 52*o - 4. Calculate y(-13). -4 Let j(k) = 333*k - 9371. What is j(28)? -47 Let j(w) = 40*w - 1833. What is j(46)? 7 Let n(b) = -b**3 + 9*b**2 - 9*b + 20. Calculate n(8). 12 Let a(i) = -i**3 + 15*i**2 + 44*i + 31. Give a(-2). 11 Let v(o) = -194*o**2 - 251*o + 252. What is v(1)? -193 Let w(k) = -k**3 + 13*k**2 - 9*k - 18. Determine w(12). 18 Let w(n) = -n**3 + 17*n**2 - 36*n + 69. Give w(15). -21 Let d(z) = -3*z**3 + 10*z**2 - 9*z - 6. What is d(4)? -74 Let c(l) = -17054*l - 289911. Determine c(-17). 7 Let h(r) = 3668*r - 44012. Give h(12). 4 Let h(j) = -j**2 + 3*j + 20. Determine h(14). -134 Let i(o) = 26*o**2 - 45*o - 6. Give i(2). 8 Let z(u) = 5*u**2 - 40*u - 20. Determine z(8). -20 Let a(g) = g**3 - 13*g**2 + 2*g + 20. What is a(6)? -220 Let d(x) = -x**3 - 54*x**2 - 103*x + 57. What is d(-52)? 5 Let v(m) = -28*m**2 - 81*m - 454. Calculate v(-5). -749 Let r(m) = -13*m + 7. Calculate r(-1). 20 Let n(a) = -48858*a - 195442. Calculate n(-4). -10 Let q(v) = v**3 - 17*v**2 + 34*v + 12. Calculate q(14). -100 Let n(i) = i**2 + 17*i + 18. What is n(-2)? -12 Let n(y) = -1246*y + 6233. Give n(5). 3 Let w(r) = -r**3 - 16*r**2 - 80*r - 406. Determine w(-12). -22 Let a(l) = 68*l - 1514. What is a(21)? -86 Let o(j) = j**3 - 10*j**2 - 104*j + 1031. Calculate o(11). 8 Let y(i) = -37*i + 635. Calculate y(19). -68 Let m(i) = 2*i**3 - 26*i**2 + 15*i - 188. Give m(13). 7 Let c(p) = -5*p**2 + 61*p + 2925. Give c(31). 11 Let u(w) = -44*w - 55. Determine u(13). -627 Let r(f) = f**2 + 5*f + 11. What is r(7)? 95 Let q(v) = -66*v**2 - 3*v - 13. Calculate q(-2). -271 Let c(b) = b**3 - b**2 - 38*b + 110. What is c(4)? 6 Let c(i) = i**2 + 37*i + 84. Determine c(-35). 14 Let k(f) = -410*f + 2857. Determine k(7). -13 Let q(r) = r**3 + 13*r**2 - 12*r + 90. Give q(-14). 62 Let g(j) = j - 228. Determine g(39). -189 Let j(b) = 2*b**2 - 25*b - 117. Give j(-5). 58 Let h(n) = -10*n**2 + 4*n + 2. Determine h(-1). -12 Let b(o) = -14*o**2 + 206*o + 91. Give b(15). 31 Let x(o) = -o**3 - 6*o**2 + 4*o + 55. Give x(-6). 31 Let m(k) = -2*k**3 - 18*k**2 - 31*k - 2. Determine m(-2). 4 Let l(w) = 2*w**3 - 48*w**2 + 11*w - 253. Calculate l(24). 11 Let v(c) = -4*c - 45. What is v(0)? -45 Let q(x) = 147*x - 10320. Calculate q(70). -30 Let r(t) = -12*t**2 + 33*t - 106. Give r(3). -115 Let n(b) = 27*b**2 + 189*b + 558. Determine n(-3). 234 Let s(p) = -3*p**2 + 19*p - 79.
{ "pile_set_name": "DM Mathematics" }
b(4). What is x(d)? 1 Suppose 3*p = -5*l - 167, -2*l - 23 = -l - 2*p. Suppose -5*x + 4*t = 149, -141 = 3*x + t - 55. Let w = l - x. Let g(o) = 7*o + 3. Give g(w). -11 Let b(s) = 22 + 28 - 2*s - 8 - 2. What is b(0)? 40 Let x(h) = h**2 - 8*h - 11. Let d be (-3)/(-6) + 172/8. Suppose -d*z + 222 = 24. Determine x(z). -2 Let i(l) = -l**2 - l. Suppose 2*j - 5*s = -0*s - 20, s - 4 = 3*j. Suppose 15*f + 31 - 16 = j. What is i(f)? 0 Suppose -2*f - 5*g - 9 = f, 0 = f - 2*g - 8. Suppose -123*h - 3 = -v - 121*h, h = 0. Let b(n) = n**f - v*n**3 - 87 + n + n**3 + 3*n**3 + 85. Determine b(0). -2 Let g(z) be the second derivative of 11*z**4/12 + 2*z**3 + 3*z**2 - 3*z + 7. Let y(o) = 3*o**2 + 4*o + 2. Let s(l) = 2*g(l) - 7*y(l). Determine s(6). 10 Let d(a) = -5*a - 4. Let w be 2 - (5 - (-4 - -10)). Suppose -21*p = -20*p + w. Determine d(p). 11 Let s(i) = 21*i**2 + 2*i. Let l(n) = 127*n**2 - 34*n + 210. Let p(x) = -l(x) + 6*s(x). What is p(5)? -5 Let v(i) be the third derivative of i**4/6 - 3*i**3/2 + 114*i**2 + 2*i. Let x(q) = -q**3 + 6*q**2 - 6*q - 2. Let z be x(4). Determine v(z). 15 Suppose -48 + 54 = 2*t. Let z = 2 + t. Let f(x) = -2*x + x - z*x + x. Determine f(-2). 10 Let b(h) = 10*h - 4*h**2 - h**2 - h**3 - 4*h. Let o(y) = -y**2 - 11*y + 29. Let k be o(-14). Let u = -19 - k. What is b(u)? 0 Suppose 0 = -7*y + 5*y + 8. Let m = y - 1. Suppose -3*h - 11 + 2 = 0, -w = -m*h - 4. Let o(a) = 3*a + 2. What is o(w)? -13 Let q(j) be the first derivative of -j**3/6 + j**2 + 67*j - 167. Let r(l) be the first derivative of q(l). Give r(4). -2 Let d(g) = -g + 1. Let t(q) = -q**2 + 5*q - 4. Let p(f) = 3*d(f) - t(f). Let v(w) = w + 12. Let x be v(-10). Suppose h - 5 - x = 0. Give p(h). 0 Let q(u) = -7*u**3 - 2*u**2 - 2*u + 62. Let h(d) = 9*d**3 + 4*d**2 + 2*d - 82. Let o(t) = 3*h(t) + 4*q(t). Let j be (-1 + 0)*-1 - -3. Calculate o(j). -6 Let h(r) be the third derivative of -r**5/60 + 5*r**4/12 - 2*r**3 + 9*r**2 + 6664*r. Let u be (-26)/(-3) - (-2)/6. Give h(u). -3 Let c(k) = 21*k**2 + 6*k + 17. Let f(w) = -10*w**2 - 3*w - 8. Let i(a) = -25*a - 19. Let m be i(-1). Let n(u) = m*c(u) + 13*f(u). Calculate n(-2). -12 Let b(q) = -43*q + 97*q - 53*q - 8 - 4 - 5. Let c(g) = 3*g**2 - 14*g + 9. Let l be c(5). Calculate b(l). -3 Let v(l) = -73*l - 62. Let g be v(-3). Let d = g - 156. Let n(k) = -4*k. Give n(d). -4 Let y(x) = x**3 - 11*x**2 + 4*x + 55. Let g = -2307 + 2317. Calculate y(g). -5 Let i(z) = -2*z - z + 8*z**2 + 1310*z**3 + 1325*z**3 - 2633*z**3. Calculate i(-2). 22 Suppose -2*j + 4 = 0, -o + 3*j - 1 = 4*o. Let d = -77 - -78. Let g(x) = -45932*x - 12*x**2 + d + 45932*x. What is g(o)? -11 Suppose -h = -2*h. Let v(m) = h + 7*m + 0. Let d be -10*(-1566)/(-540) - -28. Calculate v(d). -7 Let y(w) be the first derivative of -29*w**2/2 + 600*w - 1424. Calculate y(21). -9 Let q(a) = -19*a - 1. Let n = 74 - 77. Let l(i) = 2*i**2 + 2*i + 5. Let t be l(n). Suppose -1 = 18*o - t*o. What is q(o)? 18 Suppose 8*n = 9*n + 5, 4*n = -3*w - 29. Let z(l) = -7*l + 4. What is z(w)? 25 Let n(z) = -15*z**3 + 33*z**2 - 6*z - 7. Let l(a) = 8*a**3 - 16*a**2 + 3*a + 6. Let j(b) = -11*l(b) - 6*n(b). What is j(11)? 9 Let s(v) = 12*v + 17*v**2 - 61*v**2 + 24*v**2 + 16 + 19*v**2. What is s(12)? 16 Let n(v) = 1. Let o(t) = -t**2 - 2*t - 7. Suppose 4*j + 2*r = 26, 3*r - 11 - 12 = -2*j. Suppose 0 = -j*h - 48 + 28. Let y(w) = h*n(w) - o(w). Give y(-3). 5 Let y(b) be the second derivative of b**4/12 + 4*b**3/3 - 10*b**2 + 930*b. Determine y(-9). -11 Let t(n) be the first derivative of n**4/4 - 5*n**3/3 - 3*n**2 + 6*n - 813. Suppose 2*f - 26 = 2. Let h = -8 + f. What is t(h)? 6 Suppose -5*h + 6*h - 3*g = 8, -4*h + 2*g + 22 = 0. Let s(x) = -3*x - 36*x**3 + 9*x + 5 + 6*x**2 - 3*x**2 + 35*x**3. Give s(h). -15 Let y = -14371 + 14390. Let s(r) = -4*r**2 + 85*r - 166. Determine s(y). 5 Suppose -d - 3 = y - 0*d, -3*d = 2*y + 10. Let p(g) = -g - y - 5*g + 5*g. Give p(-4). 3 Let f(g) be the first derivative of -g**4/4 + 7*g**3/3 - 7*g**2/2 + 2*g + 37. What is f(6)? -4 Let l(y) = y**2 + 5*y - 10. Let d = -170 + 172. Give l(d). 4 Let x(t) be the second derivative of -t**4/12 - 5*t**3/2 - 13*t**2/2 - 1232*t. Let i = -29 + 19. Calculate x(i). 37 Let s(j) = -23 - 100*j - 15 + 108*j - 7 - 12. Give s(13). 47 Suppose 15 = 3*h + 9. Let g(b) = -8*b**h - b + 7*b + 0*b**3 + 15 + b**3 - 5. Calculate g(7). 3 Let w(t) be the third derivative of -t**5/60 - t**4/24 + t**3/6 + 2*t**2. Suppose 74 = -m + 22. Let h be (2/(-4))/(26/m). Determine w(h). -1 Let j be (36/(-45))/(5/(-100)). Suppose 4*n = 2*f + j, -2*n - 19 = 3*f - 3*n. Let g(l) = l**3 + 5*l**2 - 7*l - 3. What is g(f)? 3 Let s = 11 + -7. Let b(h) = 13*h + 9. Let o be b(0). Let u(f) = -11 + 2 - 1 + o*f + f**2 - s. Give u(-10). -4 Let i(f) be the first derivative of -3*f - 7/3*f**3 - 3*f**2 + 25 - 1/4*f**4. Determine i(-5). -23 Let x(p) be the second derivative of 1/3*p**3 - 194*p + 7/2*p**2 + 0. Determine x(5). 17 Let j = -3512/3 + 1171. Let v(b) be the first derivative of j*b**3 - b + 14 + 3*b**2. Determine v(-5). -6 Let z(x) = -7*x - 7. Suppose r + 1 = 0, -4*u - 4*r + 116 = -u. Let f = u - 46. Determine z(f). 35 Let p(q) = -q**2 + 6*q + 2. Let t(o) = 35*o**2 - 3*o - 2. Let y be t(-1). Suppose -66 = -17*z + y. Let j be p(z). Let w(s) = -s**3 + 3*s - 1. Give w(j). -3 Suppose 5*u + 2*c - 135 = 0, 5*c = u - 28 - 26. Suppose u - 1 = -4*l. Let s(g) be the third derivative of -g**5/60 - g**4/3 - 4*g**3/3 + 4*g**2. Calculate s(l). -1 Let u(i) = -4231 - 11*i + 4123 - 10*i - i**2. What is u(-9)? 0 Suppose -4*x = 2 - 10. Let y(f) = -5*f + 0 + 14*f**x + 14*f**2 - 1 - 29*f**2. Determine y(-6). -7 Let o(z) be the third derivative of z**6/120 + 7*z**5/60 - 19*z**4/24 - 8*z**3/3 + 82*z**2 + 21*z. Calculate o(-9). -7 Suppose -8*t - 1 = 15. Let g be -6*(-1 - (16/12 + t)). Suppose 6*y = 5*c + 5*y + 20, 5 = g*c - 3*y. Let v(q) = -4*q - 6. What is v(c)? 14 Let u(o) = -2*o**2 + 22*o - 12. Suppose -10 = -4*l - 2*f + 16, 4*f + 29 = l. Determine u(l). 24 Let r = 6 - 0. Let t(p) = 2876*p + 1. Let h(y) = 493*y. Let n(z) = -35*h(z) + 6*t(z). Determine n(r). 12 Let v(n) = 6*n + 3. Let q = 136 + -125. Let w be 4/(-16) + q/(-4). Determine v(w). -15 Let g be 10 + 1/((-2)/((-12)/(-3))). Let j(f) = 5*f + 5 + 0 + g - 13. Determine j(1). 5 Let p(s) = -38*s - 340. Let k be p(-9). Let a(l) = -13*l + 27*l - 6*l - 4*l + 2*l**k. Suppose 11 = -3*t - 2*z, -6 = 3*t - 5*z - 2. Determine a(t). 6 Let d(l) = -3*l - 52. Let a(t) = 2*t + 35. Suppose -4*z - 37 = 3*r, -4*z - 3*r = -z + 30. Let g(m) = z*a(m) - 5*d(m). Determine g(-10). 5 Let c be 55/(-165) + 2/((-6)/407). Let l = 131 + c. Let q(f) = f**3 + 6*f**2 + 8*f + 4. Calculate q(l). -11 Let r be (-26)/13 + 1/(1/66). Suppose -12*i + 20*i = -r. Let w(m) = m**3 + 7*m**2 - 9*m + 11. What is w(i)? 19 Let i = 3594 + -3589. Let h(y) = 4*y - 28. Determine h(i). -8 Let k(j) = j**3 + j**2 - 2*j - 2. Suppose 8*n - 892 - 1188 = 0. Let o = n + -262. What is k(o)? -2 Let c(g) = g**3 - 8*g**2 + 7*g + 127. Let t be c(-3). Let h(x) = -12*x + 48. Determine h(t). -36 Let i(k) = 371*k**2 + 68 - 91*k**2 + 23*k - 92*k**2 - 95*k**2 - 92*k**2. What is i(-20)? 8 Let z(v) be the third derivative of v**4/24 + v**3/2 - 68*v**2. Let q(l) = 4*l + 6. Let h(b) = 3*q(b) - 7*z(b). What is h(2)? 7 Let a(g) = g**3 - g**2 + 3*g - 1. Let z = 29 - -26. Let c = 51 - z. Let r(j) = j**2 - 1. Let m(p) = c*r(p) + a(p). Determine m(3). -6 Let p = 11652 + -11649. Let n(v) = -14*v + 35. Calculate n(p). -7 Let o(w) = -2*w**2 - 15*w - 8. Suppose -102*a - 323 = 289. Give o(a). 10 Let x(u) = 5 + 3*u**2 - 4*u**2 - 106*u + 0*u**2 - 113*u + 220*u. Calculate x(3). -1 Let f = 116 + -80. Suppose h + f = 73. Let q = 35 - h. Let y(b) = 7*b. What is y(q)? -14 Let l(k) = -4*k + 3. Suppose 5*b + 3*u = 22, 0 = 5*u + 4 + 1. Suppose -b*m - 9 = -4*a, -6*a + 2*a = -m - 5. Let v be 3/(-6)*(2/a - 6). Determine l(v). -5 Let m = -94 - -99. Suppose -5*c - 25 = m*x - 10*x, -3*c - 5*x - 23 = 0. Let h(k) = -k**3 - 7*k**2 - 10*k - 14. Determine h(c). 10 Let n(y) = -5846009*y**3 + 0*y**2 + 2*y**2 - 23 + 5846008*y**3. Give n(0). -23 Suppose -9*s + 20 - 128 = 0. Let z be (-939)/(-15) - s/(-20). Let d(f) = 31 - z + 29 - f. What is d(5)? -7 Let y be ((-6)/(-11))/(7/(7 - 84)). Let n(k) = 5*k - 8. Let u(j) = -4*j + 7. Let o(p) = 5*n(p) + 6*u(p).
{ "pile_set_name": "DM Mathematics" }
t g be (i/(-10))/((-4)/20). Is g > -3? True Let h(j) = -j + 3. Let k be h(0). Which is smaller: 1 or k? 1 Let o = 17129202 - 39208744999/2289. Let a = 2/327 - o. Which is greater: 1 or a? 1 Suppose 6*s - 4*s - 2 = 0. Let l be -3 + 13/((-39)/(-14)). Is s at least l? False Suppose -s + 8 = -5*s. Let k be ((-2)/16)/(s/(-12)). Which is greater: k or -0.2? -0.2 Let d = 0 + 0. Let w = -9 + 6. Let u = w + d. Which is greater: -2 or u? -2 Suppose -10 = 2*i - i + l, -3*l = 3. Let p be -2 + 1 + -1 + 4. Let s be (p/(-4))/(1/18). Do i and s have the same value? True Let p(z) = 14*z**2 + 6*z + 5. Let g be p(-1). Suppose 0 = -4*r + 35 + 21. Which is greater: r or g? r Let g be 1/(-561)*4*183/122. Which is greater: g or -1? g Suppose -2*t - 2 = 4. Is -4 at least as big as t? False Let h be (2 - 1)/((-7)/70). Which is bigger: h or -7? -7 Suppose -3*v + f = -70, 0*v + v - 3*f = 34. Are v and 22 equal? True Let d(u) = u + 7. Let i be d(-7). Let l = -14 + 16. Which is bigger: i or l? l Let y = 0.1 + -0.2. Suppose -2*p - i = -3 - 13, 2*i + 48 = 4*p. Is p bigger than y? True Suppose -5*a + 0*a - 45 = 0. Let q be (-8)/a - (7 - 6). Which is smaller: q or 1? q Let j = 2 - 2. Suppose j*d - 3*d = -6. Does d = 1? False Let j = 2.89 - -0.11. Let q = -3 + j. Which is smaller: q or -0.1? -0.1 Let f = 0.46 - -0.54. Which is bigger: f or -77? f Let i be (10/(-10)*(0 - -1))/2. Let g = 20219/115 + -2121/23. Let k = -84 + g. Is k greater than i? True Let t(c) = -c**3 + 9*c**2 + 13*c - 20. Let x be t(10). Does -2 = x? False Let y be (-81)/18 - (-2)/(-4). Let l(m) = -2*m**2 - 12*m - 1. Let n be l(y). Is 9 at most as big as n? True Let l be 5*(0 - -1)/(45/9). Is 0 bigger than l? False Let g = -366/91 - -26/7. Do g and 0 have the same value? False Let g be 44/(11 + -22) + (0 - 1). Let c = -3 - 2. Is g < c? False Let i = -1458105887/895 - -1629169. Let x = i - 2/179. Is x bigger than -1? True Let j = 6.5 + 0.5. Let w = j - 6.5. Which is greater: w or -2/5? w Suppose -z = -5*z + 4, -5*z + 1 = 4*u. Which is bigger: 2/39 or u? 2/39 Suppose -3*f + 35 = 8*y - 4*y, 0 = f - 3*y + 10. Let q be (f + -6)*(1 - 2). Which is smaller: q or -4/3? -4/3 Let t be ((-2)/(-10))/(4 + -5). Which is smaller: -1 or t? -1 Let b be (-5)/3 - 2/6. Let d be 471/(-252) - b/7. Let j = 4/3 + d. Is j < 1? True Let b(i) = i + 2. Let n be b(-3). Let v = 0.1 - 0. Which is smaller: n or v? n Let q = -0.1 - -0.4. Let h = q - 1.3. Let x = 0.23 + -3.23. Do h and x have the same value? False Let x = -15 + 14.8. Let n = 0.6 + -0.3. Let b = n + x. Which is smaller: -1/3 or b? -1/3 Let r(l) = l**2 - 19*l - 20. Let n be r(20). Let m be (-84)/(-76) + 0 + -1. Is n less than or equal to m? True Let l be -13*3/(-18) + 2. Which is greater: l or 4? l Suppose 5*q - 2*y = -11, 5*y - y = 12. Which is smaller: -9/8 or q? -9/8 Let y = 15 + -15.7. Let s = -0.01 + -0.59. Let z = y - s. Is -2 at least z? False Suppose 0*r + 5*i + 20 = 5*r, 8 = -r - 5*i. Let q be 2/(-15) + (-12)/(-15). Does q = r? False Let s = 5 - 3. Suppose 0 = s*n + 4, -5*a - n + 13 = -0*n. Suppose 0 = 2*z + a*z - 25. Is z greater than 4? True Let m be 0/3 - (-1 - 13). Which is smaller: m or 12? 12 Let q be 5 + 5 + -1 + -6. Is 7 bigger than q? True Let p be 2 - -1 - 30/(-1). Which is greater: 32 or p? p Let b be ((-3)/(-18))/(-1)*(-42)/70. Is 1 less than or equal to b? False Let f be (20/(-25))/((-1)/5). Suppose 3*w + 4*d = f - 27, -w + d = -4. Is w greater than -1? False Suppose 5*r = 4*w - 1, -w - 2 = 2*r + 1. Is 2/19 <= r? False Suppose -3*q - m - 8 = 0, -m - 1 = 1. Suppose 0 = 5*h + 3 + 12. Which is smaller: q or h? h Let n = 0.32 + -0.22. Let x be ((-1)/(-9))/((-1)/(-2)). Which is smaller: x or n? n Let s(g) = 7*g. Let b = 0 - -3. Let a be s(b). Let j be (-153)/(-21) + (-6)/a. Which is greater: 6 or j? j Suppose -a - 11 = -4*m, 2 = -0*m + m. Let t be 0*(a/(-2) - 1). Which is greater: t or -1/3? t Let z = -7 - -4. Suppose -9 = -4*b + 7. Suppose -b - 2 = 3*k. Is k greater than z? True Let a = 0 - -1. Let i = -4 + 2. Which is smaller: a or i? i Suppose 2*d - d - 4*h = -12, 4*h - 20 = -d. Let b(s) = s + 8 - 5 + d. Let l be b(-7). Which is greater: -2/9 or l? l Let f = -55 + 113/2. Let o(w) = w**2 - 11*w - 24. Let a be o(13). Is a <= f? False Let s = -0.7 + 0.2. Let w = s + -7.5. Is 0 at most as big as w? False Suppose -3*c + 11 = -2*y, -3*y - y - 18 = -2*c. Is y greater than -60/17? False Let o = -575 + 2886/5. Which is bigger: 4 or o? 4 Let d(g) = 7*g - 6. Let x(a) = 2*a + 35 + a - 38. Let t(c) = -2*d(c) + 5*x(c). Let q be t(4). Which is smaller: q or 2? q Let b = -0.2 + -5.9. Let n = b + 6. Suppose -3*k - 4*c - 16 = 2*k, 0 = -3*k - 3*c - 9. Which is bigger: k or n? n Suppose 4*h = -0*k + 4*k + 220, 2*h = -3*k - 175. Which is bigger: k or 1? 1 Let g = -0.33 - -0.03. Is -2/3 at most as big as g? True Let l(h) = -h**2 - 6*h - 6. Let r = 2 - 6. Let m be l(r). Let t = m + -2. Which is smaller: -3 or t? -3 Let g(z) = z**2 - 3*z + 1. Let j be g(3). Which is greater: j or -1/74? j Let i(m) = -3*m**2. Let l be i(-1). Suppose -2*d + 6 = 2. Suppose -o - d = 3*p, -6 + 0 = 3*o - 4*p. Is l >= o? False Let v = 5/49 + 475/147. Which is greater: v or 4? 4 Let g(r) = -7*r + 1. Let v be g(-1). Let p be 9/10 - 4/v. Which is greater: p or -1/5? p Let n(u) = u**2 - 6*u - 8. Let t be n(7). Let p be 2 + -3 + 55 + -2. Let j = -367/7 + p. Which is bigger: t or j? j Let m = 8 + -8. Suppose -2*p - 3*p - 25 = m. Which is smaller: -7/2 or p? p Let d be 4/8 + (-201)/10. Let k = d + 20. Let g = -10 + 9. Which is greater: g or k? k Let j = 152 + -249. Let t = j + 971/10. Which is greater: t or 0? t Let r be (-5)/6 - (-2)/(-12). Let y be (12/(-9))/((-8)/(-12)). Is r greater than or equal to y? True Suppose 0 = -v + 4*v + 2*b - 13, 3*v - 3*b = -12. Let s(g) = 13*g + 1. Let n be s(v). Let q be 4/14 - 4/n. Does q = 1? False Let k = -8 + 4. Suppose 2*o + 20 = 7*o. Let a = o + k. Which is bigger: -3/4 or a? a Let d(n) = n**3 - n**2 + n + 1. Let f be d(0). Which is smaller: f or 2/33? 2/33 Let t be (-974)/715 + 4/6. Let n = t + 26/33. Let s = -4/13 - n. Is s greater than 0? False Let v = 5.3 - 5. Let s = -77 - -233/3. Is s equal to v? False Let y = 21/2 - 12. Which is greater: -2 or y? y Suppose 4*v + 16 = -o - 0*o, 0 = -v + 5*o - 4. Let y(z) = -19 - z**3 - z + 7*z + 25 - 3*z**2. Let x be y(v). Which is bigger: 0 or x? 0 Let v = -8 - -34. Is 25 < v? True Suppose 3*l - 4*s - 9 - 14 = 0, -25 = -5*l + 4*s. Let j(t) = t - 2 - 3 - l. Let g be j(7). Is 1/6 at least as big as g? False Let r be 18/(-24)*(-1 - 10/(-6)). Is -12 > r? False Suppose 3*a = 2*a + 4*l - 4, -5*a + 3*l = 37. Let j = a - -5. Which is greater: -2 or j? -2 Let y(h) = -h**2 + 11*h - 7. Let o be y(10). Suppose 8 = -o*d + d. Which is smaller: d or -3? d Let h(k) = 3*k - 6. Let t be h(10). Let r be 1/6 - (-8)/t. Is 1 smaller than r? False Let g = -60 - -53. Which is smaller: g or -52/9? g Suppose -2 = -4*k - 6. Let h be k/(-1)*(-4)/(-10). Which is greater: 1 or h? 1 Let m = -2 - -2. Suppose m*n = n. Suppose 10 = -5*x - n*x. Which is smaller: x or -5/2? -5/2 Suppose -6 = -2*y - 4. Let r(a) = 3*a**2 + 2*a - 1. Let p be r(y). Let d = 4 - 0. Is d greater than p? False Let w be -3 - -4 - -3 - 16. Is -12 greater than w? False Let j be 10/6 + 2/6. Suppose -1 = 5*b - 2*s, 4*b - s + j = s. Let a be 0 - (2 - (3 - b)). Is -0.2 <= a? True Let h = -0.23 + 1.23. Is -2/7 less than h? True Let y be 0/(-2)*2/(-2). Suppose s - 7 = -3*x, -5 + 3 = s. Suppose -4*g = 5*a + 15, 3*g - x*a - 15 = 2*a. Does g = y? True Let o = 1/132 + 233/4092. Let x be (-39)/(-26) + 3/(-2). Is o >= x? True Let d(i) = i**2 + 0*i + 2*i - i - 5*i - 8. Let v be d(6). Let m = -3 + v. Is 0 smaller than m? True Let q = -18 - -19. Let y = 77/310 + -3/62. Is q equal to y? False Suppose 2*a = 3*a - 1, -3*k - 149 = a. Let p = 199/4 + k. Which is greater: -0.2 or p? -0.2 Let x(v) = v**2 + 11*v - 5. Let r(d) = d**2 + 10*d - 5. Let p(k) = 6*r(k) - 5*x(k). Let q be p(-6). Let s be 2/(-2)*(-2 + q). Which is bigger: s or 0.3? s Let i(g) = -g + 9. Let t be i(9). Do 4/9 and t have the same value? False Let v = 0.06 - 70.06. Is v != -1? True Let c = -9 + 17. Let m(s) = s**3 - 7*s**2 - 8*s + 2. Let u be m(c). Is u at most 2? True Suppose 5*s = w - 17, -4*s + 0 = 3*w + 6. Let l be s - (-3)/((-30)/(-28)). Wh
{ "pile_set_name": "DM Mathematics" }
53 Suppose 80555 = 34*z - 17*z - 12*z. List the prime factors of z. 16111 Let w = -24 + 23. Let u be w/(-7) + (-902)/(-154). Suppose -85 = -u*z + 407. What are the prime factors of z? 2, 41 Let t be (0*2/10)/(-2). Suppose t*j = -j - 5*y + 391, 20 = 4*y. List the prime factors of j. 2, 3, 61 Let u = -3550 + 4768. List the prime factors of u. 2, 3, 7, 29 Suppose 5*o + 16*k - 25 = 12*k, -4*o + 20 = -2*k. Suppose 0 = 2*m - 4*f + 8 - 246, 0 = -4*m + 4*f + 456. Suppose d - o = m. List the prime factors of d. 2, 3, 19 Suppose 0 = 35*b - 30*b + 1060. Let j = -110 - b. What are the prime factors of j? 2, 3, 17 Let q(l) = -3*l**2 - 55*l + 17. Suppose o - 6*o - 15 = 0, 4*y + 57 = o. List the prime factors of q(y). 167 Suppose 0 = -2*h, 3*c - 1 + 19 = 5*h. Let u(i) = -41*i + 86. What are the prime factors of u(c)? 2, 83 Let u be (-266035)/275 - 1*6/10. Let q = 17 - u. List the prime factors of q. 5, 197 What are the prime factors of (-2139464)/(-48) - ((-86)/132 + (-14)/77)? 29, 53 Let k(p) = -p**2 - p + 6. Let h = 35 - 38. Let l be k(h). Suppose d - 2*m - 67 = 2*m, l = -4*m - 12. What are the prime factors of d? 5, 11 Let r(t) = -56*t + 28. Suppose -2*h - 31 + 19 = 0. List the prime factors of r(h). 2, 7, 13 Let t = -261 - -281. Let c(s) = -s**3 + 8*s**2 - 5*s + 2. Let d be c(7). Suppose -t*v + d*v + 156 = 0. List the prime factors of v. 3, 13 Suppose -5*v = -x - 11, v = -2*x + 5 + 6. Suppose t + 22 = v*f + 2*t, 0 = -4*f - 3*t + 36. List the prime factors of (-606)/8*(-16)/f. 2, 101 Suppose -8*l + 17905 + 18543 = 0. List the prime factors of l. 2, 17, 67 Let b(f) = 11*f + 93. Let j be b(9). Suppose -i + 1292 = 4*v + j, 4*v - 1084 = 3*i. List the prime factors of v. 2, 137 Let y = 19755 - 11731. What are the prime factors of y? 2, 17, 59 Let c = -172 - -118. Let g = c + 472. Suppose 170 = 12*s - g. What are the prime factors of s? 7 Suppose -4*r = -546 - 70. Let z be (2/(-6))/(4/204)*-19. Let o = z - r. What are the prime factors of o? 13 Suppose 3*q - 12960 = -3*q. Suppose 0 = 3*y - q - 153. What are the prime factors of y? 3, 257 Let b(r) = r**2 + 23*r - 140. Let y be b(-28). Suppose -4*c + 8 = y, 0 = -4*n - 2*c - 1417 + 3461. List the prime factors of n. 2, 3, 5, 17 Let u(x) = 51*x + 60. Let g be 55/15*3/1 + 6. What are the prime factors of u(g)? 3, 103 Let u = -577 - -577. Suppose 0 = -5*l + z + 20, 4*l - 5*z + 0 = 16. Suppose 3*i - l*i + 37 = u. What are the prime factors of i? 37 Suppose 0 = -3*w + 523 - 508. Suppose 3*i - 12*h + 10*h - 4898 = 0, -w*h + 4870 = 3*i. List the prime factors of i. 2, 5, 163 Suppose -3*c - 2*c - p = -4, -3*c + 5*p - 20 = 0. Suppose c = 12*s + 355 - 2911. List the prime factors of s. 3, 71 Let f(k) = -2*k - 2. Let r(a) = 21*a - 10. Let w(c) = -5*f(c) - r(c). Let i = 16 - 22. What are the prime factors of w(i)? 2, 43 Let u(i) = i - 5. Let x be u(0). Let l(j) = 2 - 16*j + 2 + 2 + 12*j. What are the prime factors of l(x)? 2, 13 Let a = -945 - -1435. Let w be (-2)/(1 - (-610)/(-606)). Let c = a - w. List the prime factors of c. 11, 17 Let t(n) = 7 - 10*n - n**3 - 11*n**2 - 3*n + 3 + 2. Let g be t(-10). Let d = 87 - g. What are the prime factors of d? 3, 5 Let n(h) = 97*h**2 - 12*h + 8. Let p be n(4). Suppose -753*g + 752*g = -p. List the prime factors of g. 2, 3, 7 Let g = -99 + 102. Suppose -2*s = -4*s + 6, -g*x - s = -639. What are the prime factors of x? 2, 53 Let q be (-552)/(-10)*(-231 - -241). Suppose 8 = 3*m + 2. Suppose -m*z = 4*z - q. What are the prime factors of z? 2, 23 Let v(o) = o**3 - 6*o**2 - 6*o - 9. Let h be v(7). Let w be 1/(-4) - (h - (-2468)/(-16)). Suppose -2*n = i - w, 0 = -0*i + i. What are the prime factors of n? 2, 3, 13 Suppose 5*j = 4*v + 5, 3*j - 3*v = -2*j + 10. Let o(p) = -p - 8*p - j*p + 0*p - 18. What are the prime factors of o(-6)? 2, 3, 11 Let b = 1826 - -5101. List the prime factors of b. 3, 2309 Let v be (-1)/((-5)/207) + (-6)/(-10). Suppose -2*x + 130 = v. Suppose -8*u + 180 = -x. What are the prime factors of u? 2, 7 Suppose 834*w - 828*w = 59748. List the prime factors of w. 2, 13, 383 Let u = 118 - 105. Suppose -10*a - 39 = -u*a. List the prime factors of a. 13 Let n = 146 - 34. Let f = 188 - n. Suppose 80*z - 472 = f*z. List the prime factors of z. 2, 59 Let p = 339 - 330. List the prime factors of (-3)/p - (-15834)/63. 251 Suppose -4*t + 3*t + 4*i + 169 = 0, 2*t - 368 = -2*i. Let b = 235 - t. List the prime factors of b. 2, 3 Let m(o) = 3*o - 23. Let n be m(-3). What are the prime factors of 2 + n/14 + 6136/14? 2, 3, 73 Let i = 120 + -121. List the prime factors of (i/2)/((-2)/916). 229 Let n = 270 - 391. Let g be (n - 0) + ((-16)/(-4))/(-4). What are the prime factors of 3/4 - (0 - g/(-8))? 2 Suppose -17*s + 15 = -12*s. Suppose -s*d - 2*j = -2, 6 = d + 5*j + 14. Suppose 2*w + 2*p - 182 + 28 = 0, -d*w - 5*p = -160. What are the prime factors of w? 3, 5 What are the prime factors of (-2)/(-3) - 141949/(-57)? 47, 53 Let f(m) = 667*m - 1812. List the prime factors of f(26). 2, 5, 1553 Suppose 0*k + 5*y - 965 = -2*k, -5*k + 3*y + 2459 = 0. Let w = 1073 - k. What are the prime factors of w? 11, 53 Let f(g) = g**2 - 20*g - 44. Let z be f(22). Suppose 15*s - 7710 = -z*s. List the prime factors of s. 2, 257 Suppose 0 = 5*d + 5*x - 11530, d - 279*x - 2318 = -278*x. What are the prime factors of d? 2, 17 Let l be 27/(-9) - 7/1. Let x(z) = -z**3 - 10*z**2 + 3. Let p be x(l). Suppose p*v + 2*v = 220. List the prime factors of v. 2, 11 Suppose -12213 - 9484 = -13*z. What are the prime factors of z? 1669 Suppose 0 = -17*c + 12*c - 120. Let h be c/(-10)*70/28. Suppose -4*y + h*y + 3*t - 187 = 0, 0 = 3*y - 4*t - 289. List the prime factors of y. 5, 19 Let v = -11594 - -33512. List the prime factors of v. 2, 3, 13, 281 Let o(g) = -286*g - 1407. List the prime factors of o(-15). 3, 31 Let x be 695298/36 + (-6)/(-36). Suppose -50*y + x = -3386. List the prime factors of y. 2, 227 What are the prime factors of 4/(19/((-155078)/(-4)))? 2, 7, 11, 53 Suppose 0 = 19*z + 497 - 3. Let r = z + 73. What are the prime factors of r? 47 Suppose d - 3*q = 3*d - 132, 3*q = 0. Let v = 68 - d. Suppose -v*j + 2*z + 88 = -2*z, 15 = -5*z. List the prime factors of j. 2, 19 Let d = 86 - 83. Suppose -5*i + 13 = 3*u, d*i + i + 2*u - 10 = 0. Suppose k + 3 = 6, -i*y = -2*k - 338. List the prime factors of y. 2, 43 Suppose a + 3*s - 41741 = 0, 0 = 102*a - 123*a + 2*s + 876886. What are the prime factors of a? 2, 11, 13, 73 Let g(d) = -26*d + 5. Let z be g(0). Let u(q) = 42*q - 13. List the prime factors of u(z). 197 Suppose -7 = -6*v + 13*v. What are the prime factors of (-6)/6 - v/1*386? 5, 7, 11 Let s = -35 - -44. Suppose 340 = b + s*b. Suppose -3*l + b = -179. List the prime factors of l. 71 Suppose -182*s + 3719709 = 7*s. List the prime factors of s. 19681 Let x = 39364 + -13413. List the prime factors of x. 25951 Let n = 173222 + -100534. What are the prime factors of n? 2, 7, 11, 59 Let f(w) = 5*w - 8. Let q be f(4). Suppose 2*c + 4 = -4*j + q, 2 = c + j. Suppose p - 4*k - 24 = c, -2*p = -2*k + 3*k - 57. What are the prime factors of p? 2, 7 Let s = -31464 + 57712. List the prime factors of s. 2, 17, 193 Suppose -5*m + 6 = -j - 8, -2*j = 5*m - 2. Suppose m = -2*l, -5*f - 2*l + 7171 = 1838. List the prime factors of f. 11, 97 Let d(z) = z**3 + 8*z**2 - 3*z - 46. Let j be d(-6). Let k(t) = -t**2 + 65*t - 85. What are the prime factors of k(j)? 839 Let u(h) = h**3 + 11*h**2 + 3*h + 9. Suppose -4*x = -4, 2*k + 14 = k + 5*x. Let s be u(k). What are the prime factors of (s/84)/(1 + (-12)/14)? 2, 3 Let c(h) = 10767*h - 95. What are the prime factors of c(2)? 11, 1949 Suppose 258*n = 1385781 + 12124131. What are the prime factors of n? 2, 13, 19, 53 Let l = -211 + 213. What are the prime factors of 105/(-14) + 7 + 759/l? 379 Let b(j) = 2*j**3 + 13*j**2 - 4*j - 24. Let y(x) = 3*x**3 + 25*x**2 - 8*x - 48. Let q(s) = 5*b(s) - 3*y(s). List the prime factors of q(11). 3, 7 Suppose 0 = 2*t + 5*i - 40713, -4*t = 11*i - 13*i - 81390. List the prime factors of t. 3, 7, 17, 19 Let v(m) = m + 57. Suppose 0 = 5*t - 10, -3*t = -b + t - 8. Suppose b*w + 3*w - 3 = 0, 85 = 3*d + w. List the prime factors of v(d). 5, 17 Let a(t) = 33*t - 198. Suppose -4*g + 5*c + 139 = 0, 0 = g - 3*c - 35 - 5. List the prime factors of a(g). 3, 5, 11 Let n
{ "pile_set_name": "DM Mathematics" }
True Does 301 divide 31304? True Does 30 divide 361950? True Does 40 divide 43754? False Is 6 a factor of 639630? True Is 315 a factor of 6087060? True Is 20 a factor of 349830? False Does 688 divide 146544? True Is 42 a factor of 1884414? True Is 4 a factor of 52232? True Is 880 a factor of 297440? True Is 577556 a multiple of 7? True Does 27 divide 561681? True Does 2445 divide 25686928? False Is 74029 a multiple of 3? False Does 136 divide 560320? True Does 185 divide 33670? True Is 137 a factor of 88365? True Is 1706618 a multiple of 194? True Does 16 divide 4984348? False Does 61 divide 718285? False Is 23 a factor of 461771? True Is 24284 a multiple of 37? False Does 21 divide 12779511? False Is 19 a factor of 55802? False Is 16329236 a multiple of 68? False Is 186 a factor of 1056852? True Is 47 a factor of 344343? False Is 169110 a multiple of 17? False Is 1270056 a multiple of 17? False Is 113183 a multiple of 437? True Is 3 a factor of 862358? False Is 393462 a multiple of 9? True Is 612515 a multiple of 55? False Is 124538 a multiple of 146? True Is 977 a factor of 1225710? False Does 672 divide 62496? True Does 193 divide 3288906? False Is 93872 a multiple of 10? False Is 624 a factor of 3312134? False Is 71 a factor of 2957931? True Is 175 a factor of 19442518? False Does 11 divide 589041? False Is 357 a factor of 1653981? True Does 78 divide 168436? False Does 78 divide 129441? False Is 427 a factor of 2189656? True Does 220 divide 1434118? False Is 559952 a multiple of 158? True Does 293 divide 2130030? False Is 17755221 a multiple of 10? False Is 14 a factor of 450282? True Is 109 a factor of 36842? True Is 881 a factor of 14885376? True Does 646 divide 538764? True Is 2915400 a multiple of 75? True Does 11 divide 27303? False Is 231146 a multiple of 94? True Is 160 a factor of 314240? True Is 5455730 a multiple of 295? True Is 28 a factor of 3181835? False Does 21 divide 1050252? True Is 25 a factor of 1352148? False Is 22177298 a multiple of 11? True Is 503 a factor of 761542? True Does 25 divide 144200? True Is 7094983 a multiple of 134? False Is 24629 even? False Does 550 divide 855250? True Is 23 a factor of 115023? True Does 299 divide 897? True Is 1335972 a multiple of 174? True Is 300747 a multiple of 10? False Is 1042250 a multiple of 55? True Is 2320851 a multiple of 1098? False Does 612 divide 49724? False Does 30 divide 1606150? False Is 1246481 a multiple of 149? False Is 4 a factor of 32241? False Is 18073536 a multiple of 13? True Is 45 a factor of 2344680? True Is 131628 a multiple of 12? True Is 25 a factor of 1192060? False Is 430 a factor of 353268? False Is 5456010 a multiple of 30? True Does 2 divide 161071? False Is 17 a factor of 444125? True Does 963 divide 1587024? True Is 185614 a multiple of 121? True Does 6 divide 376902? True Is 19 a factor of 4894153? True Is 1654002 a multiple of 63? True Does 477 divide 29574? True Does 4 divide 6370? False Is 2206644 a multiple of 458? True Is 129876 a multiple of 12? True Is 5335504 a multiple of 315? False Does 17 divide 92116? False Is 69 a factor of 90888? False Is 1054569 a multiple of 471? True Is 285729 a multiple of 2? False Does 114 divide 883508? False Is 2377 a factor of 32083226? False Does 17 divide 95812? True Is 26 a factor of 3782739? False Is 11719045 a multiple of 680? False Is 35 a factor of 4819920? True Is 9226469 a multiple of 526? False Is 9 a factor of 2498969? False Is 169262 a multiple of 18? False Does 406 divide 194474? True Does 33 divide 670? False Is 146520 a multiple of 10? True Does 247 divide 183768? True Is 47 a factor of 339550? False Is 408 a factor of 139639? False Is 2 a factor of 8058? True Does 225 divide 71775? True Is 239772 a multiple of 318? True Is 11 a factor of 1112689? False Is 220500 a multiple of 450? True Does 268 divide 1160172? True Is 269 a factor of 7420365? True Is 25 a factor of 547352? False Is 3694653 a multiple of 27? True Does 54 divide 9859428? True Is 6125075 a multiple of 480? False Is 3288493 a multiple of 13? True Is 130501 a multiple of 103? True Is 59 a factor of 1923614? False Is 19 a factor of 38171? True Is 12 a factor of 5700? True Does 285 divide 742262? False Does 13 divide 1034826? True Is 8193899 a multiple of 18? False Is 3 a factor of 6115? False Does 16 divide 111712? True Does 405 divide 890595? True Does 1175 divide 23758500? True Does 398 divide 1729072? False Does 120 divide 9934920? True Is 2323244 a multiple of 397? True Is 337754 a multiple of 21? False Is 3 a factor of 2629206? True Does 10 divide 118546? False Is 4 a factor of 48580? True Is 675132 a multiple of 127? True Does 58 divide 160312? True Does 35 divide 1654415? True Is 254489 a multiple of 61? False Is 525389 a multiple of 23? True Does 458 divide 2214430? True Does 22 divide 149820? True Is 6279450 a multiple of 50? True Is 225560 a multiple of 20? True Does 201 divide 2039630? False Does 36 divide 8423342? False Is 267 a factor of 6154082? False Does 13 divide 963794? True Is 136 a factor of 719017? False Is 472 a factor of 2692288? True Is 696 a factor of 214368? True Is 5 a factor of 404180? True Is 92777 a multiple of 361? True Does 697 divide 1198840? True Is 37653 a multiple of 21? True Does 60 divide 135960? True Is 2413018 a multiple of 6? False Does 13 divide 88727? False Is 53 a factor of 707717? False Is 34 a factor of 2303296? True Is 362265 a multiple of 124? False Does 507 divide 2423967? True Does 8 divide 4643688? True Is 12 a factor of 55752? True Is 15 a factor of 3803445? True Is 65324 a multiple of 14? True Does 36 divide 206503? False Is 53 a factor of 247136? False Is 884169 a multiple of 20? False Is 380 a factor of 2650500? True Is 100377 a multiple of 587? True Is 26951548 a multiple of 52? True Does 2 divide 734? True Is 108432 a multiple of 36? True Is 423367 a multiple of 116? False Is 29110 a multiple of 4? False Is 2 a factor of 16304? True Does 14 divide 625254? True Is 39170 a multiple of 16? False Is 3 a factor of 563477? False Does 597 divide 2052419? False Is 90142 a multiple of 3? False Does 8 divide 5936? True Does 29 divide 12084155? True Is 51629 a multiple of 60? False Does 51 divide 2664139? False Does 3 divide 286272? True Is 229115 a multiple of 54? False Does 4 divide 198636? True Does 36 divide 18497272? False Is 618 a factor of 503302? False Does 5 divide 586617? False Does 685 divide 164011? False Is 1950 a multiple of 3? True Is 40 a factor of 135611? False Does 311 divide 265768? False Is 122 a factor of 1840663? False Is 2396932 a multiple of 17? True Is 29 a factor of 3071709? True Does 158 divide 20595? False Is 255 a factor of 3799505? False Is 37159593 a multiple of 340? False Is 100 a factor of 3567721? False Is 341 a factor of 221309? True Does 13 divide 1403010? False Is 280 a factor of 3925315? False Does 77 divide 377272? False Does 5 divide 52361? False Does 76 divide 245176? True Is 13592898 a multiple of 363? True Is 88776 a multiple of 9? True Is 880329 a multiple of 71? True Is 356430 a multiple of 327? True Is 14 a factor of 284697? False Is 605584 a multiple of 23? False Is 8 a factor of 10695? False Is 58 a factor of 1905822? True Is 1533680 a multiple of 171? False Is 116 a factor of 44892? True Does 5 divide 605405? True Does 1123 divide 4101196? True Does 55 divide 4257? False Is 638625 a multiple of 75? True Is 9 a factor of 453465? True Is 12285 a multiple of 65? True Is 1311970 a multiple of 110? True Is 135991 a multiple of 36? False Is 24 a factor of 3446208? True Is 66364 a multiple of 30? False Is 91 a factor of 1741012? True Does 43 divide 180722? False Does 43 divide 761444? True Is 29 a factor of 2286297? False Is 54 a factor of 59188? False Is 84240 a multiple of 4? True Does 562 divide 2635780? True Is 11 a factor of 6690? False Is 13621096 a multiple of 8? True Is 7691652 a multiple of 222? False Does 227 divide 3722119? True Does 24 divide 63600? True Is 10 a factor of 19090? True Does 270 divide 24030? True Does 80 divide 644320? True Does 19 divide 2077916? True Does 318 divide 979807? False Is 11 a factor of 14641? True Is 48969 a multiple of 23? False Is 12474 a multiple of 11? True Is 24 a factor of 322608? True Is 662
{ "pile_set_name": "DM Mathematics" }
What is prob of sequence rt? 14/153 What is prob of sequence cddd when four letters picked without replacement from dcdddcdddddddddddd? 14/153 What is prob of sequence rr when two letters picked without replacement from {d: 1, i: 2, r: 2, n: 1, h: 2, o: 4}? 1/66 What is prob of sequence www when three letters picked without replacement from wyyyww? 1/20 What is prob of sequence jzz when three letters picked without replacement from {j: 1, i: 1, z: 2}? 1/12 Calculate prob of sequence lx when two letters picked without replacement from {l: 3, j: 2, n: 3, x: 2, i: 5}. 1/35 Two letters picked without replacement from {t: 1, a: 1, d: 2, y: 2, h: 1}. Give prob of sequence hy. 1/21 Calculate prob of sequence accs when four letters picked without replacement from {a: 1, s: 9, c: 10}. 9/1292 Calculate prob of sequence ccv when three letters picked without replacement from {v: 2, c: 2, w: 5, a: 4}. 1/429 Calculate prob of sequence oo when two letters picked without replacement from {g: 1, z: 1, s: 5, o: 3}. 1/15 Three letters picked without replacement from xex. Give prob of sequence exx. 1/3 Calculate prob of sequence zz when two letters picked without replacement from {i: 3, z: 11}. 55/91 Two letters picked without replacement from {s: 4, m: 7, c: 6}. Give prob of sequence cc. 15/136 What is prob of sequence kkkq when four letters picked without replacement from {q: 15, k: 5}? 5/646 What is prob of sequence zh when two letters picked without replacement from {h: 2, z: 1, b: 1}? 1/6 What is prob of sequence bab when three letters picked without replacement from bbabuabuuubbu? 5/143 Three letters picked without replacement from hcbhcchllrm. What is prob of sequence cbr? 1/330 Calculate prob of sequence gg when two letters picked without replacement from goghggggooooghogoo. 28/153 Two letters picked without replacement from uccccu. Give prob of sequence cc. 2/5 Calculate prob of sequence sl when two letters picked without replacement from {f: 3, c: 4, s: 1, l: 1, u: 6, t: 4}. 1/342 Two letters picked without replacement from {o: 2, t: 5}. What is prob of sequence to? 5/21 Two letters picked without replacement from ppniinuunnnnnn. What is prob of sequence up? 2/91 Two letters picked without replacement from huguguqeuueugqqqeq. What is prob of sequence qq? 10/153 Two letters picked without replacement from dbdbbjdjdjddj. What is prob of sequence jb? 1/13 Two letters picked without replacement from {k: 1, l: 1, w: 1, v: 1, p: 1}. What is prob of sequence pw? 1/20 What is prob of sequence lle when three letters picked without replacement from {f: 3, r: 2, e: 1, l: 2, m: 2, b: 2}? 1/660 What is prob of sequence an when two letters picked without replacement from {a: 1, q: 2, n: 1}? 1/12 Calculate prob of sequence hhff when four letters picked without replacement from hhfffffffhhhhfhf. 9/130 What is prob of sequence ffv when three letters picked without replacement from vvjjvfvffjfvjfvv? 1/24 What is prob of sequence ca when two letters picked without replacement from {c: 5, a: 2}? 5/21 Two letters picked without replacement from tstjttgtjjbtjtbjbtbt. Give prob of sequence jj. 1/19 Four letters picked without replacement from jcjnjzuzzzzuzn. Give prob of sequence unju. 1/2002 What is prob of sequence bv when two letters picked without replacement from {b: 3, v: 6, a: 2, i: 2}? 3/26 Two letters picked without replacement from {p: 10, i: 5, r: 4}. Give prob of sequence rr. 2/57 Three letters picked without replacement from {a: 5}. Give prob of sequence aaa. 1 Three letters picked without replacement from nxcxvqcp. Give prob of sequence qcv. 1/168 Calculate prob of sequence gv when two letters picked without replacement from {g: 6, v: 5, l: 1, o: 2, c: 1, w: 5}. 3/38 Four letters picked without replacement from {e: 17, i: 1, s: 1}. What is prob of sequence eeis? 1/342 Four letters picked without replacement from {l: 5, d: 5}. Give prob of sequence ddll. 5/63 Calculate prob of sequence xooo when four letters picked without replacement from {o: 5, e: 4, x: 8}. 1/119 Four letters picked without replacement from {u: 5, d: 6, h: 1, r: 6}. Give prob of sequence uudr. 1/102 Two letters picked without replacement from {c: 11, b: 3}. What is prob of sequence cc? 55/91 Two letters picked without replacement from hzhzcchc. Give prob of sequence hz. 3/28 Two letters picked without replacement from {h: 7, m: 7, n: 1, b: 2, p: 1}. What is prob of sequence mn? 7/306 Two letters picked without replacement from nxxbbblxxl. Give prob of sequence bl. 1/15 Two letters picked without replacement from {p: 2, h: 4, s: 2, x: 2, f: 3}. What is prob of sequence ps? 1/39 Calculate prob of sequence ccz when three letters picked without replacement from {h: 3, c: 2, k: 2, z: 5}. 1/132 Three letters picked without replacement from eheooeooedehehoe. Give prob of sequence ohd. 1/224 Three letters picked without replacement from uyuytyy. What is prob of sequence yyu? 4/35 Four letters picked without replacement from {y: 6, o: 6}. Give prob of sequence oyoo. 2/33 What is prob of sequence pf when two letters picked without replacement from pppffffffwwpf? 7/39 What is prob of sequence xx when two letters picked without replacement from hbxbexbbxwb? 3/55 Calculate prob of sequence an when two letters picked without replacement from {c: 1, n: 3, a: 5, k: 4}. 5/52 Four letters picked without replacement from elssusselalasyysel. What is prob of sequence eyys? 1/2040 Calculate prob of sequence eee when three letters picked without replacement from eeyeeeeeye. 7/15 Two letters picked without replacement from {h: 1, o: 7, y: 6}. What is prob of sequence ho? 1/26 Three letters picked without replacement from {h: 2, m: 1, n: 1, i: 1, e: 1, s: 2}. Give prob of sequence mhh. 1/168 Three letters picked without replacement from {f: 2, u: 1, g: 1}. What is prob of sequence uff? 1/12 Calculate prob of sequence uu when two letters picked without replacement from ucqccuuc. 3/28 What is prob of sequence aap when three letters picked without replacement from {a: 9, x: 2, p: 2, z: 1}? 6/91 Three letters picked without replacement from iiiixiixiiiiixxiiii. What is prob of sequence ixi? 140/969 Calculate prob of sequence tk when two letters picked without replacement from gtkggttggggkgtt. 1/21 What is prob of sequence qbbq when four letters picked without replacement from {q: 2, b: 8}? 1/45 Calculate prob of sequence rrm when three letters picked without replacement from rwasrwamwwfwwafwwswf. 1/3420 Calculate prob of sequence oss when three letters picked without replacement from {a: 4, s: 1, o: 5}. 0 What is prob of sequence qqqw when four letters picked without replacement from qqwqww? 1/20 Three letters picked without replacement from {p: 1, l: 1, s: 1, k: 1, n: 1}. What is prob of sequence pkl? 1/60 Calculate prob of sequence yr when two letters picked without replacement from {q: 1, y: 2, r: 1}. 1/6 Four letters picked without replacement from {j: 13, e: 4, s: 3}. What is prob of sequence eses? 1/1615 Three letters picked without replacement from {i: 4, w: 3}. Give prob of sequence iwi. 6/35 Four letters picked without replacement from {d: 1, a: 1, i: 1, p: 1, f: 10}. Give prob of sequence ffpf. 30/1001 Four letters picked without replacement from {a: 4, u: 2, y: 5}. Give prob of sequence yuau. 1/198 Three letters picked without replacement from adaadudxaxqxxdxqqdxa. Give prob of sequence dqq. 1/228 Three letters picked without replacement from {t: 10}. What is prob of sequence ttt? 1 Two letters picked without replacement from {b: 1, r: 1, j: 1, h: 1, l: 1}. Give prob of sequence hj. 1/20 Three letters picked without replacement from {g: 5, n: 9}. What is prob of sequence gng? 15/182 Calculate prob of sequence aa when two letters picked without replacement from gaaaraaaayaaar. 45/91 Three letters picked without replacement from {f: 9, a: 1, m: 2, h: 6}. What is prob of sequence hah? 5/816 Two letters picked without replacement from aabpppaapp. Give prob of sequence ba. 2/45 Two letters picked without replacement from {u: 2, m: 2, s: 1, o: 2, f: 1, j: 1}. Give prob of sequence of. 1/36 What is prob of sequence uz when two letters picked without replacement from zpzzzupzzzppz? 2/39 Calculate prob of sequence
{ "pile_set_name": "DM Mathematics" }
t t be z(m). Solve 3*s = -4*d + 35, 3*d - t*s = -4*s for d. 5 Suppose 5*u + 43 - 278 = 0. Let t = 50 - u. Solve 4*x - 33 = -5*j, 3*j + 0*x - 21 = -t*x for j. 5 Let a be -6 + (17 - (18 + -9)). Solve 0*z - 2*z + a*j + 2 = 0, -5*j - 25 = 0 for z. -4 Let j(x) be the second derivative of x**5/20 + x**4 + 3*x**3/2 - 9*x**2/2 - 10*x. Let t be j(-11). Solve -3*w - 22 = -2*m, m = 5*w + t + 12 for m. 5 Let d = -36 - -21. Let i = -15 - d. Let g(t) = t**3 - 9*t**2 + 11. Let w be g(9). Solve -s = i, -14 - w = -5*k + s for k. 5 Let c be (-11)/(-3) + 4/12. Let f be 1*c/(-3 - -7). Solve 0 = -5*y - 5*a - 25, a = f - 5 for y. -1 Let f(r) = 4*r - 14. Let w be ((-63)/21)/((-3)/8). Let b be f(w). Solve 0 = -2*t + 2*o + b, 6*t = t + 2*o + 33 for t. 5 Suppose -2*h - h + 123 = 2*b, -5*b + 282 = -h. Suppose -2*s - 46 = -3*y, 2*y + 2*s - b = -23. Solve 5*w + 4 = -2*o, 6 - y = 5*o - 2*w for o. -2 Suppose -63*n = -15 - 174. Solve -1 = n*b + h, -2*b - 3*h - 11 = -15 for b. -1 Suppose 0 = -14*h + 2*h + 48. Suppose h*s = -3*i + 8, -7 = -4*i + 2*i - s. Solve 0*r + 12 = -r + 5*w, -i*w = -12 for r. 3 Suppose 49*j - 32*j = 51. Solve v = j, 0*v - 5*v = 4*z - 19 for z. 1 Let t be (2 - 2)*(-3 + 2). Suppose -r = -t*m + m - 7, -12 = -3*m. Let v = 41 - 28. Solve v = -r*h - 5*o, o - 2*o = -5*h - 3 for h. -1 Let m = -1589 + 1592. Solve y = -m*q - 4, 3*y - 2 + 0 = -2*q for y. 2 Let r(u) = -2*u**2 - 8*u - 3. Let j be r(-3). Solve 0 = 5*k - 5*m + 15, k + j*m = -0*m + 5 for k. -1 Suppose 2*n = -c, 3*c + 8 = -5*n + 3*n. Suppose -n*v = -0*v - 6*v. Solve 2*q + 25 = -2*y + 5*y, -4*y + q + 25 = v for y. 5 Let p(y) = y**2 - 7*y - 8. Let c be p(8). Solve l - q + 7 - 1 = c, 5*q = 3*l + 26 for l. -2 Suppose -2*j + 7*j = 40. Suppose 6*m - 4*m = j. Let i(c) = 4*c**3 - 2*c + 1. Let g be i(1). Solve y + g*n = m + 11, 0 = y + 4*n - 20 for y. 0 Let i(x) be the second derivative of -5/12*x**4 + 1/20*x**5 + 4*x + 0 + 0*x**2 + 1/6*x**3. Let u be i(5). Solve -3*w - u*j = -5, -2*j - 1 = 2*w + 1 for w. -5 Let v = -150 + 160. Suppose v*f = 21*f - 55. Solve 0 = 4*a - f*m + 8, 2*m + 8 = -4*a - 0*m for a. -2 Suppose 10*m - 4*m = 0. Suppose p + 2 = -m*t + 3*t, 0 = t - 4. Solve -3*y = -8*y + d - 5, -p = -3*y - 2*d for y. 0 Let s(i) = -124*i + 126. Let l be s(1). Suppose 2*h + 2*h = 0. Solve h*t - 2 = 4*t + 2*k, -l*k = -2 for t. -1 Let o = 3 + 28. Let i = 57 - o. Let f be -3 + i - 1*-2. Solve 2*z + 7 = z + u, 0 = 3*z - 5*u + f for z. -5 Let w(s) = s**2 + 29*s + 210. Let x be w(-17). Solve 2*a = 4*p - 10, -8*a = -x*a - 5*p + 12 for a. -1 Let x = 13 - 9. Suppose 0 = -10*g + 7*g - 6. Let n = g + x. Solve -5*k = -3*k + 2, -14 = -4*m - n*k for m. 4 Suppose -33*k + 100 = 17*k. Solve f = w - k + 7, -w - 7 = -2*f for f. 2 Let j(c) = c + 6. Let q be j(-12). Let n be (-23)/q - (-4)/24. Suppose 5*x = -2*h + 9, -3*x + n + 9 = 5*h. Solve h*b - v - 10 = 4*v, 0 = -5*b - 4*v - 8 for b. 0 Let p be (-1)/2 - 3/(-6). Let b(t) = -30*t - 57. Let c be b(-2). Let r = c - p. Solve 2*d + 6 = r*i + i, 0 = 5*d + 5 for i. 1 Suppose d = -3*s + 15, 4*d + 14 = 5*s + 2*d. Suppose -2*n = -3*c - 2 + s, n - 2 = 0. Solve m + c*w = 8, -3*m = 2*w + w - 18 for m. 4 Let c(f) = -5*f + 39. Let q be c(9). Let s be 4 + 36/(-14) + q/14. Solve w + 3*p - 15 = s, 5 = p for w. 1 Suppose r + r - 18 = 0. Let z be (r/6 + -2)*-4. Let b be 3/1 - (0 - 0). Solve -23 = b*t - 5*k, z*t + 2*t + 4*k = 12 for t. -1 Let g(u) = -4*u + 30. Let m(r) = -17*r + 122. Let o(k) = 26*g(k) - 6*m(k). Let l be o(22). Solve -l*s + 3*j - 22 = -2*j, -4 = 4*s + 4*j for s. -3 Let n be ((-15)/21)/(2/(-7))*2. Solve -1 = -5*m - 2*d, -34*m + 29*m - n*d + 10 = 0 for m. -1 Let o(d) = -67*d**2 + 2*d - 2. Let g be o(1). Let p = g - -76. Suppose -3 + 5 = y. Solve -z + y*k = -0*k + p, -z = 4*k - 3 for z. -5 Let c(v) = 3*v**2 - 3 + 2*v**2 - 4 - 6*v - 6*v**2. Let d be c(-3). Solve 4*y + 7*n - d*n - 12 = 0, 16 = -4*y + 2*n for y. -2 Suppose 0 + 3 = -v, 29 = -5*f + 2*v. Let x be 0/1 - (f - 1 - -4). Solve -3*l + 12 = -4*i - 2, -2*l - 24 = x*i for i. -5 Let v be 0/1*(-1)/2. Suppose 0 = 3*l - 7 - 14. Suppose -l*z = -5*z. Solve -6 = -3*f + 5*g - z*g, -4*f + g + 8 = v for f. 2 Suppose 0 = -2*j - 19 + 29. Solve 4*o + 4*z - 14 = j*z, -o + z + 2 = 0 for o. 4 Suppose 2*o - 4 = -4*x, o + 4*x = 5 + 1. Let n be o/(-4)*(0 - -4). Suppose g - 6 = -n*g. Solve -4*d = 4*c - g*c + 16, -3*c = -2*d for c. -2 Suppose -3*u + 3 = -2*c + 4, -4*c + 4*u = -4. Suppose -5*j + j + 5*d + 113 = 0, c*j - 5*d = 49. Solve -o + 16 = 3*h, -3*h - 7*o + j = -2*o for h. 4 Let r be 7/3 + (-2)/(-3). Let t(c) = c**3 - 6*c**2 + 10*c - 20. Let m be t(5). Solve r = 3*b + 4*d - 9, -m*d = b - 15 for b. 0 Suppose 19*j - 108 - 63 = 0. Solve 3 = a - 2*d - j, -5*d - 20 = 0 for a. 4 Let t(p) = -p**3 + 10*p**2 + 10*p + 13. Suppose d = -23 - 43. Let i be (4/8)/((-3)/d). Let a be t(i). Solve -l = s - a, 2*l = -2*s - l + 5 for s. 1 Let i be 20/6 - (-10)/(-30). Suppose 0 = g - 3*m - 44, 0 = -3*g + m - 56 + 156. Let n = -15 + g. Solve 2*p + 2 = 2*o - 0, p = -i*o - n for o. -4 Let h = 62 + -60. Let z be (8/(-10))/((-2)/25). Solve 16 = 5*v - v - n, -z = h*v + 4*n for v. 3 Suppose 3*b - 21 = 3*g, b - 45 = -2*b - 5*g. Suppose b = 2*y - 4. Solve w = 3*a - 7, 2*w + 0*a = -a - y for w. -4 Let z(a) = a**2 - 5*a + 3. Let y be z(0). Suppose 3*b - j + 6*j - 29 = 0, 2*b = y*j - 6. Solve -16 = -w + 3*c, b*w + c - 4 = -c for w. 4 Let d(n) = -3 - 3*n**2 + 3*n**2 - 7*n + n**2 + 2*n**2. Let b be d(3). Solve -5*u = -c - 7 - b, -3*u + 5*c = -6 for u. 2 Suppose 40 = 2*r + x, -3*x + 76 = -3*r + 7*r. Suppose 17*b - 19*b = -r. Solve -3*y - q + b = 0, 3*y + q - 7 = y for y. 4 Suppose -128*z + 125*z = -3. Solve j - z = 2*m - 2, 5*m = 5*j + 15 for j. -5 Suppose 3*k = -1 + 7. Suppose 3*g = -3*s + 9, 5*s - 9 = -g - k*g. Suppose 3*a = 5*p + 3, -2*a + 3*p = -0*p - g. Solve -2*r = n + r - 12, n + r = a for n. 3 Suppose -170 = -5*k - 5*g, 4*k - 2*g = 3*g + 100. Let c be 75/(-60)*((-27)/5 + 3). Solve 3*r = c*a + k, -a + r = -2*a for a. -5 Let r = -421 - -437. Solve 0 = -u - 3*k + 1, 3*u + 2*u = -4*k + r for u. 4 Let v = -19 + 48. Let a = v + -27. Solve -a*m + 9 = -7*m - 4*l, -m - 5 = 4*l for m. -1 Let z(b) = b**3 + 13*b**2 - 19*b + 21. Let n be z(-15). Let t be 2/(-7) + n/(-63). Solve t*q - 10 = 0, -3*r + q = -3*q + 14 for r. 2 Let f(h) = -8*h + 70. Let v be f(8). Solve 5*k + 2*y + 1 = 0, y = -k + v*y - 11 for k. -1 Let s = -93 + 91. Let k be (35/14 - 1) + s/(-4). Solve 4*t - 29 = -k*q - q, -3*q = -t - 4 for q. 3 Suppose 2*t + 1 - 7 = 0. Let z be 5/t + (-1)/(-3). Solve z*c + 3*f + 0*f + 13 = 0, c - 4*f = 10 for c. -2 Let r(q) = q - 14. Let j be r(16). Let a(s) = -3*s**j + 6 + 10 + 16*s + 2*s**2. Let l be a(16). Solve 2*y = 6*y - 2*d - l, -d = 0 for y. 4 Let b(j) be the first derivative of -j**4/4 + 10*j**3/3 + 3*j**2 - 20*j - 13. Let p be b(10). Solve c = -2*s + 5, -4*s + 5*c + p = -s for s. 5 Let v(u) = -2*u - 47. Let a = 7 + -32. Let r be v(a). Solve -2*f - 2*h - 4 = 0, -2*f - r*h - 6 = -0*f for f. 0 Let u(w) = -w**3 + w**2 + 3*w - 2. Let c be u(-2). Solve c*d - 8 = 0, -7*d = -5*k - 2*d - 20 for k. -2 Suppose -3*f - 3 = 4*k - 13, 6 = k - f. Suppose 2*d = k*d. Solve 0 = n - 5*l - 14, 2*n + 3*l = -d*n + 2 for n. 4 Suppose 3*h = 4*o - 8, -o - 2*h + 5 = -8. Solve 0 = -3*l - 4*u + 14, 13 = -o*l + l + u for l. -2 Let q = -201 + 203. Solve q*d - 28 = -5*u, 0 = d + 5*u - 10*u + 16 for d. 4 Let v be (-1 + 4 + -7)*-7. Suppose 5*p = 9*p + v. Let h be 14/(-49) - 51/p. Solve o + 10 = 3*k - 3, 3*k - h = 4*o for k. 5 Let y(r) = r**2 + 6*r - 10. Let g = -48 + 40. Let v be y(g). Solve 3*x + v*z = 2*z, 0 = x - 5*z + 19 for x. -4 Let c be 0*(-13)/39*(-6)/4. Suppose b - u - 4 = c, 4*b - 2*u - 12 = b. Solve 5*h = b*v + h, 16 = -v - 3*h for v. -4 Let v(y) = 2*y**3 + 12*y**2 - 17*y - 98. Let z be v(-6). Solve 3*u + u + 5 = 3*o, -10 = z*o - 2*u for o. -5 Suppose 2*m + 147 = 191. Solve d = -3*d + 3*y - m, -2*y - 16 = 5*d for d. -4 Suppose -8*j = 13 - 37. Solve x + y - 8 = -j*y, -3*y + 3 = 0 for x. 4 Let y(g) = g - 4. Let z be y(6). Suppose m - z = 8. Solve 0 = -5*i - 2*q - 3 - 22, 2*i - 5*q + m = 0 for i. -5 Let y be 45 - 12 - (-1 + 4). Let g = -26 + y. Let c(a) = 10*a**2 - a - 2. Let d be c(2). Solve 5 = -5*s - 5*u, 4*s = g*u - 0*u - d for s. -5 Let z(y) = -4 - 5*y**2 - 33*y**3 - 4 - y**2 + 32*y**3 - 8*y. Let r be z(
{ "pile_set_name": "DM Mathematics" }
Let y be d(-1). Suppose -p - 6 + 22 = -y*z, p = -z - 4. Solve p = -5*x + 4*x + n - 1, 5*n - 25 = 0 for x. 4 Let f(g) = 4 + 1 - 17*g + 2*g - g**2. Let l be f(-15). Solve -5*w + 45 = -l*d, -5*d + 3*d - w = 6 for d. -5 Let x be (-2)/4 + 52/8. Let t(z) = -z**2 - 13*z - 6. Let n be t(-12). Let f = 1 + n. Solve -s + 2*o + f = 0, 4*s - x*s = 3*o - 7 for s. 5 Suppose -3*i + 23 = 5*g, -g - 4*i - i = -9. Suppose -7 - 3 = -v. Suppose -r + v = 2*q, 2 = -4*q + 14. Solve -r*k + 0*y = g*y, -4*k = y for k. 0 Suppose -4*i = -2*z - 2*z, 0 = 4*i + 3*z - 14. Let t be -1 + 24 - (i + -1). Solve -3*j + 6*j - b = -14, 0 = -3*j + 5*b - t for j. -4 Let s = -5 - -1. Let n = s + 6. Let z = -7399 - -7409. Solve -3*o + 16 = -0*h + n*h, 3*h + o = z for h. 2 Let g be 2 - 4 - -2 - -3. Let c(q) = q**2 - 13*q + 2. Let l be c(14). Solve g*y + 4*f = -l, 17 = -3*y - 4*f - f for y. -4 Let j = -76 + 80. Solve -j*w - 4*d = -28, -d + 4*d = 6 for w. 5 Let p(h) = -h - 13 + 19 - 11 + 0*h. Let x be p(-11). Solve 0 = 4*s - u + x, -1 - 5 = 5*s - 2*u for s. -2 Let f(h) = h**2 - 6*h - 7. Suppose 44 = 4*t + 4*x, t + 1 + 4 = 3*x. Let w be f(t). Solve 4*p + 7 + 7 = -2*s, w = 4*p - 3*s + 29 for p. -5 Let x be -24*(185/(-40) - -4). Solve 2*y + 2*q - 12 = 0, 4*y - 7*q = -8*q + x for y. 3 Suppose -12*l = 39 - 63. Solve 4*x + 4*o - 32 = 0, -l*x - 4*o = -0*x - 22 for x. 5 Suppose -86 = 23*o - 247. Solve 5*d - s - 10 = o, 3*d + 4*s = 1 for d. 3 Let d = 11 - 8. Suppose 17*t - 7*t = -1600. Let q = 164 + t. Solve -3*m = -q*x - 7, -x + d*x = m - 5 for x. -4 Let v = -49 - -49. Suppose 0 = 5*k - p - 5, -4*k = -4*p - v - 4. Solve -4*i = 5*t - 3, t - 2*i = -6 + k for t. -1 Let v(i) = -i**3 - 28*i**2 + i + 33. Let n be v(-28). Solve -2*s + 5*p = -7*s - 15, -5*p = -n*s - 35 for s. -5 Suppose -r - 9 = -2*a, 80*a - 3*r = 84*a + 7. Solve -a*p - 4*f + 6 = 0, 0 = -p - f + 6*f - 4 for p. 1 Let d be (25 + -1)*3/6. Let x be (-44)/(-6) - (-8)/d. Suppose 3*h = 9 - 0, -w + h + 13 = 0. Solve -2*p - w = -i - 5*p, -3*p + x = -i for i. 4 Suppose 0 = -2*j + 280 - 256. Solve -2*d + 0*d + 4 = i, -3*i = j for d. 4 Let z(x) = 2*x**2 - 24*x - 8. Let g be z(13). Let u = 20 - g. Solve w + 4*w = -q - 14, 4*q = -u*w - 2 for w. -3 Let k(h) = -h**3 + 37*h**2 + 208*h + 86. Let v be k(42). Solve 3*x - 5*x - 1 = 3*a, 9 = -v*a - 3*x for a. 3 Suppose u = 2*u. Suppose 5*i - 44 = -2*c + 3*i, u = c + 3*i - 16. Suppose 4*a - c = -a. Solve -21 = 4*d + w, 2*d = 4*w - a - 1 for d. -5 Let m = -311 + 315. Solve -5*i - 3 = 3*n - m*i, 3*n + 3 = i for n. -1 Suppose -5*a + 68 = -92. Let w = -525 - -528. Solve -16 = 4*o - 3*k + 4*k, -4*o = -w*k + a for o. -5 Let j = -4 - -5. Suppose 1 = d - r - j, 3*d - 27 = -4*r. Solve -3*g - 10 = 2*w, w + 0 = -3*g - d for g. 0 Suppose 0 - 8 = -2*u. Suppose 7*d - 57 + 22 = 0. Suppose -u*k = -3*k - d. Solve -5*r = -k*p - 30, 2*p = -4*r + 3*p + 15 for r. 3 Let q be 343/28 - 3/12. Solve -q = -3*h, 0*j - 2 = 2*j + h for j. -3 Let d be 5 + (7 - 3) + -1. Solve -3*o + d = -4*y, o - 3 = y - 0*y for y. 1 Let w = -1183 - -1183. Let p(k) = k + 3. Let h be p(-6). Let d be (-6)/(-5)*(2 - h). Solve 2*b = 3*r + 4, -3*r + 0*r + d = w for b. 5 Let r = 82 - 70. Suppose 6*x + 14 = 4*x. Let d = x + r. Solve 2*b - f + d = 0, -4*f - 31 + 7 = 3*b for b. -4 Let n(t) = -t + 6. Let w be n(9). Let k be 20/w - (-2)/3. Let s be (k/18)/((-1)/12). Solve s*m - p = 13, -3*p + 3 = -5*m + 28 for m. 2 Let s be -10 - ((-7)/3 - 22/33). Let c be (-2)/(10/s + 15/35). Solve -5*m + 3*t - 4 - 1 = 0, -c*m = -t + 2 for m. -1 Let t(c) be the first derivative of -c**2 - 6*c - 13. Let f be t(-5). Solve 5*n = f*w, -n + 0*n + 4*w - 16 = 0 for n. 4 Let h be 44/(-4)*(5 + -6) + 3. Solve -5*g = z + h, 4*z + 22 = -2*g - g for z. -4 Let j(a) = a**2 + 8*a - 8. Let v be j(-12). Let r = v + -21. Solve 0*y - 2*y - 3*h - r = 0, -3*h = -2*y - 1 for y. -5 Suppose -220 = -2*g + 4*n, -202 = -2*g + 3*n - 5*n. Let z = g - 100. Solve 5*f - 2 = y, -f = -y - z*f - 2 for y. -2 Let d(o) = o**2 + 19*o + 3. Let j be d(-18). Let l = 18 + j. Solve 35 = 4*k - l*v, -5*k + 4*v + 40 = -k for k. 5 Suppose 0 = 4*y + 12 - 20. Let j be ((-2)/(-4))/(y/28). Solve 2*b + 2*a = -4, 3*b = -a - j + 3 for b. -1 Let p(v) be the first derivative of v**3/3 + 22. Let g be p(2). Solve 4 = -q - g*w + 5*w, 0 = -5*w for q. -4 Suppose p + 2*p = -3*z - 33, -2*z + 5*p - 8 = 0. Let a be z/(-6)*(-40)/(-6). Solve 2*m - 28 = 2*v - a, -32 = 4*v - 3*m for v. -5 Suppose -3*n - 3 = 3*q, n - 2*q - 2*q - 14 = 0. Solve -v = 3*f + n*f - 6, 4*v + 16 = 0 for f. 2 Let t = 0 - -3. Let j(l) be the third derivative of l**5/10 + l**4 + 5*l**3/6 + 26*l**2. Let g be j(-4). Solve w = -t*o + 3*w - 17, 0 = o + g*w for o. -5 Suppose 16*y - 42*y + 130 = 0. Solve 17 = -y*v - 3*w, v - 5*v = -4*w - 12 for v. -1 Let y(q) = 8*q**2 - q + 1. Let h be y(1). Suppose 0 = 4*d - h*d - 36. Let u be (-3)/(d/12) - 1. Solve 0 = -n - u*f - 7, -3 = 4*n - 5*f + 8 for n. -4 Let l = 25 - 15. Suppose 4*a + l = -a. Let t be a - (0 + -1)*4. Solve -4*q + 1 = -f, -7 = -t*f + q - 2 for f. 3 Let g = -54 - -57. Solve 3*s + 4*x = 2*s + 16, g*x = -4*s - 1 for s. -4 Let g be (76/114)/(-1 + 16/12). Solve g*z + 0*u + 4 = -u, -2*u = -8 for z. -4 Let l(b) = 2*b**3 - 3*b**3 + 5*b**2 + 6*b + 3 + 1. Let j = -41 - -47. Let v be l(j). Solve -3*d = -v*u + 5, -2*d - 14 = 5*u - 3 for d. -3 Let q be (-4)/(-10)*(0 - -70). Let v = 20 - q. Let y = v - -12. Solve 2*r = -5*c + 3, -2*c = -2*r - 0*c - y for r. -1 Let w = -83 - -118. Solve -o + d = 1, w = 4*d + 15 for o. 4 Let g = 24 + -5. Let n = 33 - g. Solve -k - 10 = -3*m, 5*m - 16 - n = -5*k for k. 2 Let l(r) = -1 - 5 + r**2 + 3. Let d be l(4). Suppose -5*v = -4*v - w - 10, -w = 3*v - 38. Solve 2*u - 5*h + 15 = 0, -h = 4*u - v - d for u. 5 Let l(x) = x**3 + 21*x**2 + 2. Let j be l(-21). Solve n - 5*w - 14 = -j, -4 = -n + w for n. 2 Suppose -4*i + 3*h - 4 = 0, 6*h - 3*h - 3 = 3*i. Let f be i - (1 + (-3 - -1)). Suppose f*u - 7 = -u. Solve j + 2*g = u, 5*j + 2*g - 5 = 7*g for j. 3 Let n = 543 + -542. Solve 2*y - r = 6*y - 5, -n = -r for y. 1 Let a(j) = 2*j**2 - 9*j - 5. Let g be a(5). Suppose g = -5*z + i + 20, 5*z + 2*i - 3 = 2. Solve -5*c + 4*q = -17, 4*c - c = -z*q + 21 for c. 5 Let b be ((-15)/2)/(3/28). Let r be b/(-22) + (-6)/33. Suppose t = -i + 5 + r, -5*i = 3*t - 36. Solve -j = 2*d + 10, -i*d + d - 2*j = 24 for d. -4 Let k = -37 + 61. Let f = -95 - -99. Suppose 3*z - s - 24 = -f*s, -5*s + 15 = 0. Solve -k = -4*j - 5*r, -r - 7 = z*j - 4*r for j. 1 Suppose 24*q - 50*q = 0. Solve 4*p - 2*m + 0*m - 6 = q, -2*m = -6 for p. 3 Let y(t) = 2*t**2 - 5*t - 1. Let k be y(3). Solve -2*w + 36 = 4*d + k*w, -4*d = 5*w - 40 for d. 5 Let p be -2 + 4*(-2 - -3) + 1. Solve 4*j - p = 2*v + 9, -3*j + 3*v + 12 = 0 for j. 2 Let o be 4/6 - 52/(-12). Suppose 32 = o*x - x. Let f be (185/(-10))/((-1)/2). Solve h = 2*p + 3, 5*h + 5*p + f = -x for h. -5 Let z(c) = 2*c**3 + 19*c**2 - 13*c - 6. Let b be z(-10). Let u be (11 + -13 - (-1 + 3)) + b. Solve -6*v = -v + 2*i - 10, -4*i - u = 0 for v. 4 Let q(a) be the first derivative of a**3/3 + a**2/2 - a - 32. Suppose 1 = 5*z - 4. Let g be q(z). Solve 0 = 4*l + y - 5, -g - 9 = -2*l + 2*y for l. 2 Let l be (-1 + 1)*(-5)/(10/1). Solve -y + l*i = 5*i - 11, y - 2*i + 3 = 0 for y. 1 Let m = -4 - -8. Let z be (-756)/(-273) + (-12)/(-52). Solve 2*l - 3*l - 10 = -z*a, -5*l + 7 = m*a for a. 3 Let x(t) = -t**3 + 5*t**2 - 2*t + 2. Let l be x(4). Let d(g) = -33 + 13 - 3*g + g + 7*g. Let r be d(l). Solve 5*h = 5*m + r, -4*m = 2*h + 3 + 3 for m. -3 Suppose -73 = 2*n + 17. Let y = n + 59. Solve 4*x = d + y, 1 = -5*d - 5*x + 6 for d. -2 Let q(a) be the third derivative of -a**6/120 - a**5/60 - a**4/24 + a**3/2 + 9*a**2. Let i be q(0). Solve 0 = 3*m + 2*m + x - 20, -i*m = 3*x for m. 5 Let q be (-7 - (2 + -6))*(-22)/1. Let y = q + -62. Let b be 6/(-21) + 298/14. Solve -5*t = w + b, -t + 7 + y = 4*w for t. -5 Let s = -72 + 72. Let j be 10/(-8)*-4*5. Solve 6*i + 5*f = 3*i + j, s = 2*i + 4*f - 20 for i. 0 Suppose -2*m - 2*u = -28, -4*m + 0*m - u = -65. Solve 3*a = 4*p + m, -4*a - p + 5*p = -20 for a. 3 Let h = -880 - -883. Solve 5*n - 20 = 0, h*b = n + 4*n - 8 for b. 4 Suppose 0*i + 4*i - 5*u + 37 = 0, 0 = i + 4*u + 4. Suppose 8*l = 26 + 14. Let r = l - i. Solve -2*m - 16 = 5*j - 0*m, 0 = 5*j + m + r for j. -2 Let m be (6/2)/((-9)/(-48)). Let
{ "pile_set_name": "DM Mathematics" }