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**s + 1 + r**3 + 43*r + 0*r**3 - 47*r. Let c be q(1). Solve 4*j - 6*j - c = 0 for j. -1 Let b(i) = -i**3 + i**2 + 7*i - 4. Let v be b(3). Let r be 60/(-2 + 12) - (v + 5). Suppose -h + 4*n + 15 = 0, -5*h = 3*n - 8 + 2. Solve h*d - 17 = -r for d. 5 Let c(k) = -2*k + 30. Let d be c(18). Let i be 27/d*(-20)/18. Solve -i*g + 2*g + 9 = 0 for g. 3 Let b(z) = -z**2 + 2*z + 5. Let y be b(2). Suppose 3*f + y*k = 24, -17 + 8 = -5*f + 2*k. Solve -5 - 1 = f*g for g. -2 Let t be ((-1)/(-2))/((-24)/(-192)). Suppose -t = -8*o + 6*o. Solve 11*p = 9*p + o for p. 1 Suppose 2*k + 4*g - 153 = k, 5*g = 3*k - 459. Suppose k - 39 = -3*m. Let r = 38 + m. Solve -y - 2*y = r for y. 0 Suppose -12*t = -11*t + 5*y - 45, -4*t - 3*y = -78. Solve -t*l = -2 - 28 for l. 2 Let f be -4 - -5 - 46*((-3)/(-2) + -3). Solve -72*z + f*z = 16 for z. -8 Let j(x) = -4*x**2 + 58*x - 151. Let m be j(11). Solve -221 = m*q - 236 for q. 5 Let m be ((-301)/5 - -1)/((-28)/70). Let x = -118 + m. Solve 4*o = -34 + x for o. -1 Let t(b) = b**3 + 6*b**2 + 3*b + 12. Let i be t(-6). Let y be 4 + i + (1/(-1) - -5). Solve -6*g + y*g = -16 for g. 4 Suppose -3*u = -7*d + 10*d + 6, -3*d = -u - 2. Solve d = 6*l - 3*l + 3 for l. -1 Let b be ((-175)/(-30))/7 + (-1)/(-6). Let v be (0/b - -2) + 20/2. Suppose 4*d + 4 - v = 0. Solve d + 7 = -3*o for o. -3 Suppose -33*w + 15 = -30*w. Suppose -k = -3*y - 9 + 20, 3*y - w*k = 7. Solve -y*c - c - 20 = 0 for c. -4 Let d = 153 + -148. Suppose d*v + 2*v - 84 = 0. Let b be (0 + -2)*(-3 + 2). Solve b*p = -2*p - v for p. -3 Let b = -3221 - -3336. Solve -b = 2*f - 121 for f. 3 Suppose -8*h = -54*h. Let d be (-9 + (-19)/(-2))*h. Solve d = -5*l + 7*l + 10 for l. -5 Let h = 5262 + -5241. Solve -9 = h*c + 54 for c. -3 Let l(i) = -189*i - 4123. Let q be l(-22). Solve 0 = 104*t - 97*t - q for t. 5 Let b be ((-45)/27 + 0)/(10/(-24)). Suppose 5*h = s + 17, b*s + 5 = -6*h + 5*h. Solve 2*a - 3*a = -h for a. 3 Let u = 263 - 261. Suppose -u*t = 4*z - 40, 6 = 2*t - 2. Let q be ((-4)/(-10))/(2/10). Solve 0 = -q*r + z + 2 for r. 5 Let b(m) = 74*m**2 + 4*m - 1. Let v be b(1). Suppose 12*i - v = -5. Solve 4*u - 40 = -i*u for u. 4 Let u = -6822 - -6838. Solve -12*b + u = 88 for b. -6 Let f(q) = q + 1. Let v(h) = -6*h + 12. Let b(t) = 5*f(t) + v(t). Let a be b(16). Let j be 208/15 + (-13)/15 + a. Solve j = 3*y + 5 for y. 3 Suppose 9*y + 45 = 18. Let k be (y/((-18)/21))/((-1)/(-2)). Solve -38 = -9*z + k for z. 5 Let i(d) be the first derivative of -d**3/3 - 3*d**2 - d - 3. Let r be i(-5). Let z = 227 - 220. Solve -a = z - r for a. -3 Suppose -4*n + 5*g + 7 = 0, 5*n - 3*n + 3*g = 9. Let r be 2/3 + (-2)/3. Solve b + r = -n for b. -3 Let x be 15*(32/(-20) + 2). Let j = 26 - x. Let w be (-20)/(-6) + j/30. Solve -w*f = 22 - 6 for f. -4 Let r = 353 - 344. Suppose -5*h + 25 = 4*c, 0 = 4*h - 4*c - 11 - r. Solve h*d - 6*d = -2 for d. 2 Suppose 4*o - 19 = 3*t, 8*t + 2*o = 9*t + 5. Let n(p) = -4 + 7 + 6 - 17*p - 2*p**2. Let j be n(t). Solve j = 4*u + 17 - 5 for u. -3 Let j(n) = 5*n + 84. Let q be j(0). Suppose 12*d = -24 + q. Solve 13 = d*b - 7 for b. 4 Let o be 2/4 - ((-1477)/14 + 9). Suppose o*m - 5 = 92*m. Solve 0 = c - 6 + m for c. 5 Let n(q) = q**3 - 3*q**2 - 20*q + 12. Let d be n(6). Let o be (0 - d)*(-3)/(-6). Solve -3*b + 9*b - 12 = o for b. 2 Suppose 0 = -7*c - c - 176. Let a = c - -22. Suppose 3*t = -a*t + 18. Solve 5*v = t + 4 for v. 2 Let l = -930 - -934. Suppose 3*t = -4*u + 24, 0 = -2*t - 5*u - 5 + 21. Suppose -6 = 3*w, 5*o = -5*w + 12 + t. Solve o*i + l = 8*i for i. 2 Let n = -8748 - -8760. Solve -35 = -n*k + 19*k for k. -5 Suppose 49*y - 642 = 2298. Solve -y = -23*o + 53*o for o. -2 Let l = 239 + -125. Suppose -12 = -21*a + l. Solve 26*h - 24*h = a for h. 3 Suppose -y - 3*n + 11 = 0, -53*y = -56*y - 2*n + 26. Solve -4 = -y*x + 28 for x. 4 Suppose 4*n = 2*k + 34, 6*n = n - 5*k + 20. Let c = -75 - -40. Let o = -10 - c. Solve -2*q + n*q = o for q. 5 Suppose 0 = -5*a - 0*a + 25. Let v(i) = 40*i + 200. Let z be v(-5). Suppose -a*b + 9 + 16 = z. Solve -b*r = -7*r for r. 0 Let l = -2 - -6. Suppose 7*z - 12 = 3*z. Let c be (-23)/(115/(-30)) - z. Solve c*p + 4 = l*p for p. 4 Let l be (-1698)/(-24) - (-24)/(-32). Solve 12*f = l + 2 for f. 6 Suppose 99 = 4*q + 87. Suppose 0 = -m - 4, 4*b + 0*m + q*m = 0. Solve -2*l - b*l = 0 for l. 0 Suppose -1448 + 411 = -61*n. Solve -6*f - n = 19 for f. -6 Suppose 620*l = 3821 + 7959. Solve 39*b + l = 58*b for b. 1 Suppose 2*h - 28 + 9 = -3*k, -4*k + 18 = -h. Let u(g) = g**2 + 4*g + 2. Let r be u(-5). Let q = -6740 - -6740. Solve -h*f + r*f = q for f. 0 Suppose 148 = -4*i - 0*i. Let a = -45 - i. Let h be -3*6/a - 2/8. Solve -d + h = d for d. 1 Let v(m) = 4*m**3 - 6*m**2 - 5*m + 9. Let a be v(2). Solve 5*x = a*x + 2 for x. -1 Suppose -69*l - 46*l + 1442 = -12*l. Solve -3 = l*k + 81 for k. -6 Let k be -185*(234/90)/(-13). Solve -7 = 5*m - k for m. 6 Let i(c) = 6*c**2 + 4*c - 3. Let m be i(1). Suppose -m*a = -2*a - 20. Suppose a*z = z + z. Solve -d = -z*d - 5 for d. 5 Let u(i) = -7*i**2 - 18*i - 17. Let p(g) = -g**2 - 5*g - 1. Let h(b) = -6*p(b) + u(b). Let f = 36 - 25. Let n be h(f). Solve n = 3*j - 8*j for j. 0 Suppose 680*p - 668*p = 6384. Solve -533*k + p*k = 4 for k. -4 Let d = -11 + 8. Let j(b) = b + 11. Let p(x) = -2*x - 23. Let c(r) = d*p(r) - 5*j(r). Let z be c(-10). Solve 2*v = -2*v + z for v. 1 Let x be (0 - 6 - -5)*(-4 + 5)*-7. Solve -633 = -x*d - 626 for d. 1 Let r = 403 - 400. Suppose r*j - n = 5*j - 8, 5*n - 28 = -4*j. Solve -a - j*a - 12 = 0 for a. -4 Let s be (3 - (-1573)/(-110))/((-4)/40). Solve -s*z = -97*z for z. 0 Let s(o) = o**3 + o**2 - 173*o + 29. Let h be s(0). Solve 108 = h*p - 11*p for p. 6 Let v = -2975 + 3007. Solve 0 = -v*s - 2 + 162 for s. 5 Let o be (-1)/((-6)/(-27))*(-2 + 14/9). Let h = -1 - -3. Suppose -a + h = j, -3*j - 5*a = j - 10. Solve o*t = -j*t for t. 0 Suppose -25 = 3*c - 8*c. Suppose -2*k + c - 17 = 0. Let j be (k/12)/(3/(-12)). Solve 0 = -3*w - j*w - 20 for w. -4 Suppose 10*z - a + 23 = 12*z, 4*z + 15*a = 111. Solve -4*y = -z*y - 25 for y. -5 Let k = -271 - -271. Suppose -5 = 5*i, -z + k*z + 2*i = -5. Solve 0*g - 6 = z*g for g. -2 Suppose -12*i = -26*i - 3*i. Solve 6*t + 6*t - 48 = i for t. 4 Let l(h) = -1 - 3 + h + 2. Suppose -3*n + 12 = -3*x, x = -0*x + 2. Let s be l(n). Solve -s*f = -2*f for f. 0 Let r(y) = 2*y**2 - 53*y - 204. Let b be r(30). Solve -b*m - m = m for m. 0 Suppose -2*i + 140*k + 46 = 143*k, 0 = -5*i - 5*k + 130. Suppose -5*b + s = -25, 11 = 4*b - 0*b + s. Solve i*h - 28*h = -b for h. -1 Let p be 24/32 - (10878/8)/(-7). Let t = p - 183. Solve 0*f = -4*f - t for f. -3 Let v = -172 - -210. Solve -32 - v = -14*k for k. 5 Let r be ((-735)/(-70))/((-1)/12*6/(-4)). Solve y = r - 87 for y. -3 Suppose 4*f = -2*g, -g - 10 = 4*g. Let t = -11 + -16. Let v be (1 + -1)/(-4 + t/(-9)). Solve v = -w - 5 + f for w. -4 Suppose -3*l = -3*z + 6, -5*l - 4*z + 13 + 22 = 0. Suppose -5*g + 2*k = 6*k - 7, l*g + 4*k - 1 = 0. Let n = 125 - 117. Solve g*o = -o + n for o. 2 Let u = 400 + -388. Suppose -9*l + 12*l = u. Solve -4*c + 0 + l = 0 for c. 1 Let r(l) = l**2 + 2*l - 79. Let a be r(-16). Let x be 2/4 + a/58. Solve 0*f + x*f - 12 = 0 for f. 4 Let v(w) = w**3 - 10*w**2 - 9*w + 27. Let k be v(11). Solve -5*q + 44 - k = 0 for q. -1 Let t = 5 - 6. Let s be (-2)/(-4)*0/t. Solve s = -2*n + 5*n - 15 for n. 5 Let d = -16 + 20. Suppose 3*a + 4*v = d*a + 16, -2*v - 80 = 5*a. Let p = 16 + a. Solve p*q = 4*q for q. 0 Suppose -4*z - 3 = -19, -14 = -3*o - 2*z. Suppose -5*s = c - 26, 3*c - 2597 + 2617 = -s. Solve -p + s = o for p. 5 Suppose 14*b - 8*b - 786 = 0. Let i = b - 129. Solve -i*z = 2*z + 12 for z. -3 Let v(q) = -q**3 - 2*q**2 + q + 1. Let t be v(-3). Suppose -t = -5*w - 117. Let y = w - -28. Solve 1 = p + y for p. -5 Let w be (14 - 4)/((-2)/(-4)). Suppose -w*i + 105 = i. Solve 1 = 2*c - i for c. 3 Let n(k) = 26*k + 8. Let c be n(1). Let p = -3 - -5. Suppose -2*j + c = -h, -4*j - 2*h = -58 - p. Solve -j = d - 5*d for d. 4 Let y(l) = -109*l**2 + l + 5. Let x be y(0). Solve -985 + 1020 = x*k for k. 7 Let v be -1*16/(-24)*(-15)/2. Let n be -6*(-6)/18 + (v - -3). Solve 9*z - 14*z + 15 = n for z. 3 Suppose 5*s - g + 3 = -6, 0 = s + g - 9. Solve s = -5*m - 3577 + 3587 for m. 2 Let x(m) = m**2 - 48*m - 9. Let f be x(33). Let p = f - -504. S
{ "pile_set_name": "DM Mathematics" }
38 - 539 + 1077. -411287*n Collect the terms in 54867904 + 34*o - 54867904. 34*o Collect the terms in -473 - 12 - 11 - 34*z**2 + 496. -34*z**2 Collect the terms in 1688*s**2 + 1709*s**2 - 14868*s - 14872*s - 14868*s + 44608*s. 3397*s**2 Collect the terms in -o**3 - 829*o - 549*o + 1181*o. -o**3 - 197*o Collect the terms in 45826*a + 92271*a + 15535*a + 39408*a - 23351*a. 169689*a Collect the terms in -31*z - 195 + 121 - 17*z**3 + 31*z - 17. -17*z**3 - 91 Collect the terms in -65 - 47 - 67 + 217 + 10*i. 10*i + 38 Collect the terms in -126393*b**2 + 126393*b**2 + 1559*b**3. 1559*b**3 Collect the terms in 2902772*m - 1452086*m - 1451427*m. -741*m Collect the terms in -5774*d**3 + 3131*d**3 + 3120*d**3. 477*d**3 Collect the terms in 250 - 89 - 77 - 8*i**3 - 50. -8*i**3 + 34 Collect the terms in -1548067361*k + 1548067361*k + k**3. k**3 Collect the terms in -4065*b + 2322*b**2 + 4065*b. 2322*b**2 Collect the terms in -86406*b**2 - 54702*b**2 + 76080*b**2. -65028*b**2 Collect the terms in -2055632901*c + 1027816423*c + 1027816475*c. -3*c Collect the terms in 224 - 704 + 256 + 0*s + 9*s - 10*s + 224. -s Collect the terms in 515884*f**3 + 3 - 3 + 2*f**2 - 1031705*f**3 - 2*f**2 + 515814*f**3. -7*f**3 Collect the terms in -9362933 + 9362933 + 1810*w**2. 1810*w**2 Collect the terms in -16 + 2587*q + 2867*q + 35 - 19. 5454*q Collect the terms in -710*p**2 - 431*p**2 + 9*p + 316*p**2 - 9*p. -825*p**2 Collect the terms in 17827*f**2 - 19 + 13217*f**2 + 19 - 7686*f**2. 23358*f**2 Collect the terms in -2788*v + 89*v - v. -2700*v Collect the terms in 74*r**3 - 153*r**3 + 993*r - 1984*r + 991*r. -79*r**3 Collect the terms in 1473 - 43 + 3*t - 1430 + 11*t. 14*t Collect the terms in 2375 - 20*t**2 + 2419 + 2373 + 117*t**2 - 7167. 97*t**2 Collect the terms in -m**3 + 10003*m**2 + 2535*m**2 - 1907*m**2. -m**3 + 10631*m**2 Collect the terms in 7347*d**3 - 10296*d**3 - 10865*d**3 - 17560*d**3. -31374*d**3 Collect the terms in -6960 - 103697*i + 6960. -103697*i Collect the terms in 23*g + 4*g**2 + 10 - 66*g**2 + 13*g**2 - 23*g - 30. -49*g**2 - 20 Collect the terms in 2539 + 2536 + 2521 - 7596 - 6*a**2. -6*a**2 Collect the terms in -1258*l - 710*l - 706*l + 2675*l. l Collect the terms in 0 - 151947979*g**2 + 0 + 40836926*g**2. -111111053*g**2 Collect the terms in -124*n**2 - 3794*n + 3295*n - 2*n**2. -126*n**2 - 499*n Collect the terms in 564082 + 564054 + 11*k - 1128136 + 16*k. 27*k Collect the terms in -125930*n - n**2 - 180237*n + 306167*n. -n**2 Collect the terms in 136959 - 40*f - 21*f + 54*f - 136959. -7*f Collect the terms in 606 - 1547*u**2 - 606 - 925*u**2. -2472*u**2 Collect the terms in -17207*w - 49*w**2 - 144*w**2 - 27*w**2 + 17207*w - 107*w**2. -327*w**2 Collect the terms in -814755*d + 1629449*d - 814737*d. -43*d Collect the terms in 71 + 1480246*k - 740134*k - 740113*k. -k + 71 Collect the terms in -350 + 634 + 23*s - s - 284. 22*s Collect the terms in 3772 - 3740 + 32*a - 34*a. -2*a + 32 Collect the terms in -63*y**2 + 11*y**2 + 7*y**2 - 29*y - 159*y**2. -204*y**2 - 29*y Collect the terms in -26253*j**2 + 67 - 67 - 65*j. -26253*j**2 - 65*j Collect the terms in 4*o**2 + 9326 + 12990 - 22316. 4*o**2 Collect the terms in -76*l**2 - 519 - 36*l**2 + 108*l**2 + 519 + 15*l. -4*l**2 + 15*l Collect the terms in -522*k - 27 - 30 + 72 - 15 - 2*k**2. -2*k**2 - 522*k Collect the terms in -152*n**3 - 15794*n**2 + 31603*n**2 - 25*n**3 - 15809*n**2. -177*n**3 Collect the terms in -434*q + 644*q - 478*q. -268*q Collect the terms in -3*z - z + 0*z - 10*z - 28*z + 66*z + 2. 24*z + 2 Collect the terms in 2134*q + 8 + 7 - 2 - 15 + 2. 2134*q Collect the terms in -1074*y + 1074*y - 2849*y**3. -2849*y**3 Collect the terms in -6 + 4*n**3 - 6*n**3 + n**3 + 39940*n**2. -n**3 + 39940*n**2 - 6 Collect the terms in 35 + 2818*c - 70 + 36 - 2725*c. 93*c + 1 Collect the terms in -747*p + 892*p + 1 - 585*p. -440*p + 1 Collect the terms in -415*v**2 - 422*v**2 - 415*v**2 - 7*v**3 - 414*v**2 + 0*v**3 + 1666*v**2. -7*v**3 Collect the terms in 5164 - 570600*a**3 + 4028 + 570594*a**3. -6*a**3 + 9192 Collect the terms in -1105 + 7*g + 1028 + 2*g + 99. 9*g + 22 Collect the terms in 2*i + 22 + 17 + 24 - 69. 2*i - 6 Collect the terms in -k**2 - 2472394 + 2*k**2 + 2472718. k**2 + 324 Collect the terms in -3852*c - 3851*c - 3854*c + 19264*c - 3846*c - 3856*c. 5*c Collect the terms in 5 + 3 - 133826*x - 3 - 4. -133826*x + 1 Collect the terms in 18993*d**3 + 21*d**2 - 21*d**2 - 19292*d**3. -299*d**3 Collect the terms in 890*c**3 + 1802*c**3 - 4*c + 0*c - 10*c**2 + 4*c. 2692*c**3 - 10*c**2 Collect the terms in -5*d**2 - 7669*d + 0*d**2 + 7 + 3852*d + 4*d**2 + 3817*d. -d**2 + 7 Collect the terms in 91583662*j**2 - 45791818*j**2 - 45791828*j**2. 16*j**2 Collect the terms in 51*i**3 + 18*i**2 - 169*i**3 - 153*i**2. -118*i**3 - 135*i**2 Collect the terms in 53908*x**2 + 12052*x**2 - 6 + 12 - 10. 65960*x**2 - 4 Collect the terms in 293767*n**2 + 30*n**3 + 293654*n**2 - 28*n**3 - 587421*n**2. 2*n**3 Collect the terms in 64245*j + 224794*j + 3 - 3. 289039*j Collect the terms in 8160*n**2 - 34 + 11*n - 4084*n**2 - 4079*n**2. -3*n**2 + 11*n - 34 Collect the terms in -5*i + 4*i - i + 61778. -2*i + 61778 Collect the terms in 86440395*q + 86440371*q - 172880764*q. 2*q Collect the terms in 2*m**2 + 1483*m + 2*m**3 - 3273*m - 1743*m. 2*m**3 + 2*m**2 - 3533*m Collect the terms in 98 + 3148*p**3 + 76 - 174 - 3144*p**3. 4*p**3 Collect the terms in -37*p**3 + 1074575256*p - 1074575256*p. -37*p**3 Collect the terms in 79*m**2 + 5*m**2 + 130*m**2 - 69*m**2 + 71*m**2. 216*m**2 Collect the terms in 1975*k**2 - 1498*k**2 + 2159*k**2 - 853*k**2 + 4155*k**2. 5938*k**2 Collect the terms in -5110*k**3 + 283*k**3 - 3604*k**3. -8431*k**3 Collect the terms in 8*n**2 - 1543*n + 2250*n - 351*n - 356*n. 8*n**2 Collect the terms in -1258*f - 1282*f - 1270*f + 7595*f - 1267*f - 1277*f - 1270*f. -29*f Collect the terms in -94*l**3 + 561*l**2 + 564*l**2 + 342*l + 93*l**3 - 1125*l**2. -l**3 + 342*l Collect the terms in -15*d**2 + 19 - 31*d**2 - 21 + 2 + 12*d**2 + 21*d**2. -13*d**2 Collect the terms in -46*o + 111 + 206*o - 43*o - 55*o - 41*o. 21*o + 111 Collect the terms in -21*d + 162462*d**2 - 4*d**3 - 162462*d**2. -4*d**3 - 21*d Collect the terms in 50*n**3 - 39*n**3 - 50*n**3 + 118*n**3 - 51*n**3 - 42*n**3. -14*n**3 Collect the terms in 109 + 0*x**2 - 1012*x - 109 - 1016*x - x**2 + 2967*x - 937*x. -x**2 + 2*x Collect the terms in 888 + 955 - 1843 - 1075*c. -1075*c Collect the terms in 3*q**2 - 2 + 148*q + 2 - 1 - 141*q. 3*q**2 + 7*q - 1 Collect the terms in -17812*w**3 + w**2 + 35607*w**3 + 13*w - 13*w - 17812*w**3. -17*w**3 + w**2 Collect the terms in 675401*n**2 - 2*n + 2*n + 3531936*n**2. 4207337*n**2 Collect the terms in -537*d + 506*d + 9928*d + 2292*d. 12189*d Collect the terms in 367*h**3 - 293121295*h + 293121295*h. 367*h**3 Collect the terms in -2609741*x - 5014610*x - 5042961*x. -12667312*x Collect the terms in -56 + 56 - 3651884*h**2 + 3651883*h**2. -h**2 Collect the terms in -15*r + 15*r + r + 5*r - 13*r - 13*r. -20*r Collect the terms in -5139*f - 5644*f - 5103*f + 15904*f. 18*f Collect the terms in -122043689 - 12*x + 122043689. -12*x Collect the terms in 59220*f - 111*f**3 + 10*f**2 - 10*f**2 + 59*f**3 + 50*f**3 - 59220*f. -2*f**3 Collect the terms in 98656*q**2 + 60076*q**2 + 236*q**2. 158968*q**2 Collect the terms in -h**3 - 8880*h**2 - 61025 - 4*h**3 + 61024 + 3*h**3. -2*h**3 - 8880*h**2 - 1 Collect the terms in -8*l**2 + 2 - 118*l + 437*l - 156*l - 163*l. -8*l**2 + 2 Collect the terms in -3*w + 76737*w**3 - 2*w + 2870*w**3 + 5*w. 79607*w**3 Collect the terms in 19*m**2 - 25*m**2 + 20*m**2 - 32*m**2 - 22*m**2 - 21*m**2. -61*m**2 Collect the terms in 76964*m**2 - 154454*m**2 + 75936*m**2. -1554*m**2 Collect the terms in -16 + 33*s + 82 - 26 - 25 - 26. 33*s - 11 Collect the terms in -296*a + 724*a + 496*a - 326*a + 1758*a. 2356*a Collect the terms in -8 + 20 + 4*c**3 + 2*c**2 - 10 - 481*c + 14*c**3. 18*c**3 + 2*c**2 - 481*c + 2 Collect the terms in 34*t + 118 - 2*t**3 - 63*t + 29*t + 47 - 52. -2*t**3 + 113 Collect the terms in -775*c + 209*c + 183*c + 212*c + 123*c. -48*c Collect the terms in 779*z**3 - 90*z**3 - 631*z**3. 58*z**3 Collect the terms in 947*u**2 + 78*u**3 - 1880*u**2 + 933*u**2 - 27 + 27. 78*u**3
{ "pile_set_name": "DM Mathematics" }
ing l is positive. l**(-159/7) Simplify ((b/(b**(-2/5)*b))/b)**7/(b**(2/3)/b*b)**(-23) assuming b is positive. b**(167/15) Simplify ((m**(-1/3)/m)**(-31))**(34/5) assuming m is positive. m**(4216/15) Simplify (g/g**(-21)*g*g**(4/15))**0 assuming g is positive. 1 Simplify k**15/(k**(-16)*k) assuming k is positive. k**30 Simplify x*x**(4/3)/x*x**(-3/2) assuming x is positive. x**(-1/6) Simplify u**4*u/(u*u*(u**(-3)*u)/u)*u**2/u**(-3/4) assuming u is positive. u**(35/4) Simplify g*(g**(5/7)*g)/g*g**(-12)*g assuming g is positive. g**(-65/7) Simplify z**(-2/3)*z**(4/7)*(z**(-2/7))**(-31) assuming z is positive. z**(184/21) Simplify (n**(-1))**2*(n*n**1*n*n*n)**(-5/9) assuming n is positive. n**(-43/9) Simplify (w*w*w/(w/(w/w**(2/9)*w*w*w)))/w**(-1/2)*(w**(-2/7)*w)/(w*w/((w*(w**(1/3)*w)/w)/w)) assuming w is positive. w**(671/126) Simplify (f**(-1/2)/((f*f**(-4))/f))**(38/5) assuming f is positive. f**(133/5) Simplify (x**(1/18))**(-16) assuming x is positive. x**(-8/9) Simplify ((x*x*x**(-1))/x)**(-44)*(x**(-6/7)/x)/x*x**(-8) assuming x is positive. x**(-76/7) Simplify (x/x**5*x*x**6)/(x*(x**(-3)*x*x*x)/x*x**(-3/7)*x) assuming x is positive. x**(17/7) Simplify ((t**1*t)/t**(-1/4))/(t**(-2/3)/t*t**(-6/7)/t*t) assuming t is positive. t**(401/84) Simplify (p*p/(p/(p*p**(-3)/p)))/p**(-2/5)*(p/(p/p**(-1))*p)**50 assuming p is positive. p**(-8/5) Simplify (s**19/s)/s**11 assuming s is positive. s**7 Simplify r**(-7)*r/r**(-8) assuming r is positive. r**2 Simplify (r**8)**(-45) assuming r is positive. r**(-360) Simplify (v**(-1/2)/v)**(-14/3)/(v**(-1)*v**(-6/7)) assuming v is positive. v**(62/7) Simplify (o/(o**(8/3)/o*o))**(8/5) assuming o is positive. o**(-8/3) Simplify ((p*p*p*p**6*p)/p**17)**(1/11) assuming p is positive. p**(-7/11) Simplify ((u**(-1/13)*u*u)/u**10)**(15/4) assuming u is positive. u**(-1575/52) Simplify z*(z/(z**(-27)*z))/z*z**(-17)*z assuming z is positive. z**11 Simplify (k**(-2/5))**(-3/37)*(k/k**(-2))**(-35) assuming k is positive. k**(-19419/185) Simplify (f**14/f)/f**(11/4) assuming f is positive. f**(41/4) Simplify (v/(v**5/v)*(v*v**(-3/4)*v*v)/v)/((v/(v*(v*v*((v/(v*v**5))/v*v*v)/v*v*v)/v)*v)/(((v**(-5)*v)/v)/v)) assuming v is positive. v**(-43/4) Simplify ((t/((t/(t*t**(-9)*t*t))/t*t))/t**(-3))**(7/5) assuming t is positive. t**(-21/5) Simplify (f*f*f**(-14)*f/(f/f**(-3/4)))**(-20) assuming f is positive. f**255 Simplify (i**(-2/3)/(i**(2/5)*i*i*i))/(i**(-3)*i*i*i**(-2)) assuming i is positive. i**(-16/15) Simplify t**1/(t**5*t)*t**(1/2)*t*t**1*t assuming t is positive. t**(-3/2) Simplify a**(-1/10)/a**(1/17) assuming a is positive. a**(-27/170) Simplify (d**(-1))**(-50)*(d/(d/(d*d**(1/5)*d)))**(-4) assuming d is positive. d**(206/5) Simplify (d/((d*d**(-2))/d)*d**(-2/9))/(d**(-2/5)/(d/(d**(4/5)/d*d))) assuming d is positive. d**(152/45) Simplify (l*l*l**(-1/6)*l**1)**(-33) assuming l is positive. l**(-187/2) Simplify r**(12/11)/(r*r**(-25)) assuming r is positive. r**(276/11) Simplify (d**38*d)**0 assuming d is positive. 1 Simplify f**3*f**(2/5)/f*(f**(-1)*f)**(-26) assuming f is positive. f**(12/5) Simplify z/z**(4/11)*z*z**(1/2) assuming z is positive. z**(47/22) Simplify (z/((z*z**0*z)/z)*z*(z/(z*z*z**(2/3)))/z*z)/(z**(-1/5)/(z*(z/((z*z/((z**(-5/4)*z)/z)*z*z*z)/z))/z)) assuming z is positive. z**(-283/60) Simplify k**41/(k/(k/(k/k**(5/6)*k))) assuming k is positive. k**(239/6) Simplify (x*x**9*x)/(x*x**(-2/19)*x) assuming x is positive. x**(173/19) Simplify (m**(2/17)/m**(-11))**20 assuming m is positive. m**(3780/17) Simplify k**(-28)*k**(-13) assuming k is positive. k**(-41) Simplify ((d**(-1/3)/d)/d)**37 assuming d is positive. d**(-259/3) Simplify (z**(-1)*z**(-2)/z)/(z*z**(1/2))**(-9/10) assuming z is positive. z**(-53/20) Simplify (((y*y**(1/4))/y)/y)/y**(3/2)*(y/(y*y**(1/3)*y))**(2/11) assuming y is positive. y**(-329/132) Simplify (w*w**(1/4)*w)**(1/6)/(w*w/(w/w**(-2/19))*w*w*w**(2/11)) assuming w is positive. w**(-4517/1672) Simplify q**(11/6)*q*q**(-12/17) assuming q is positive. q**(217/102) Simplify i/((i**(-14)*i)/i)*i**(-10) assuming i is positive. i**5 Simplify (w/w**(-2/5))**(-3/4)/(((w/(w**(-1/7)/w))/w)/(w**(-1/2)/w)) assuming w is positive. w**(-517/140) Simplify g*g**17/g*g**21 assuming g is positive. g**38 Simplify (t/(t*t/(t*t**0))*t**(-5))**44 assuming t is positive. t**(-220) Simplify h/h**(1/2)*h*(h**(-2/3)/h)/h*h/(h*h**4)*(h/h**(-1/3)*h)/h*h assuming h is positive. h**(-17/6) Simplify q**(-2/9)*q**44 assuming q is positive. q**(394/9) Simplify ((o/o**(-2/5)*o)/o)**(3/2)/((o/(o/(o/o**(-4))))/o**(-1/2)) assuming o is positive. o**(-17/5) Simplify ((j*(j*j**(6/5))/j)/(j*j**(-3)))**(-2/25) assuming j is positive. j**(-42/125) Simplify (b*b**(1/2)*b)**25/(b*b**(-1/2)*b**(-1)) assuming b is positive. b**63 Simplify ((z/(z*z/z**(1/4))*z)/(z**(-5)/z))**(-1/36) assuming z is positive. z**(-25/144) Simplify (i**29/i)**(-5) assuming i is positive. i**(-140) Simplify ((g*g**(3/7))/(g/g**5))/((g/g**(-2))/(g*g*(g*g/(g/g**6))/g*g)) assuming g is positive. g**(80/7) Simplify g**(3/20)/g**(-12) assuming g is positive. g**(243/20) Simplify (m/m**(-1/2))**(-2/103)*m**(3/2)/m**2 assuming m is positive. m**(-109/206) Simplify ((k/k**(-2))**31)**23 assuming k is positive. k**2139 Simplify ((c**(-7)*c)/(c**(-4/3)*c*c))**(-10/9) assuming c is positive. c**(200/27) Simplify (((y/((y*y*y**1*y*y)/y*y)*y)/y)**(25/2))**(15/11) assuming y is positive. y**(-750/11) Simplify (((u/(u*u/u**(4/13)))/u)/(u/(u*u*(u*u**(3/4))/u*u)))**(-8/7) assuming u is positive. u**(-110/91) Simplify (d**(-13))**0 assuming d is positive. 1 Simplify (h**(-1/4)*h)/(h/(h/h**(-12/7))) assuming h is positive. h**(69/28) Simplify (c**(1/5))**(-1/6)*(c/((c**(3/10)/c)/c))/c**(4/5) assuming c is positive. c**(28/15) Simplify (k**(-11/2)/k*k*k**(5/3))**50 assuming k is positive. k**(-575/3) Simplify ((((t/t**(-6))/t)/t)/t)**(-1/50) assuming t is positive. t**(-2/25) Simplify (l*l**(6/13)/l)/(l*l*l**(1/5)/l) assuming l is positive. l**(-48/65) Simplify (l**(6/7)/l)/l*l*l*l*l**(2/35) assuming l is positive. l**(67/35) Simplify (r**(1/4))**(1/2) assuming r is positive. r**(1/8) Simplify t**(1/6)*(((t*t/(t*t/(t/(t*t**(-4/5)))))/t*t)/t)/t assuming t is positive. t**(-31/30) Simplify (z**(-2/9))**(-12) assuming z is positive. z**(8/3) Simplify (r**(2/9))**(-3/34) assuming r is positive. r**(-1/51) Simplify (p/(p*(p*p/p**5*p)/p))**(19/2) assuming p is positive. p**(57/2) Simplify (m**(-7)/((m**(1/3)/m)/m))**5 assuming m is positive. m**(-80/3) Simplify ((l/l**1)**(-9/11))**36 assuming l is positive. 1 Simplify ((i/((i/(i*((i**(1/2)*i)/i)/i*i))/i))/i)**(-2/115)*i**(-6)/i*i**(2/7) assuming i is positive. i**(-5426/805) Simplify n*n**(1/2)/n*n*n*(n*n*n**(3/2)*n*n)/n assuming n is positive. n**7 Simplify (a**6/a)/(a*a*a**19/a) assuming a is positive. a**(-15) Simplify (j**(-3)/j*j)/(j/j**(-5/6))*(j**(-1))**(-2/13) assuming j is positive. j**(-365/78) Simplify ((h*h**1/h)**41)**(-47) assuming h is positive. h**(-1927) Simplify (f**5)**(6/23) assuming f is positive. f**(30/23) Simplify ((n*(n/(n**8*n))/n)/n)/(n/(n**(-5)*n)*n)*(n/(n*n/(n*n/(n*n/(n/(((n**(1/8)*n*n)/n)/n))*n))))/(n/(n*n/n**5)) assuming n is positive. n**(-161/8) Simplify k*k**10*k/(k/k**(-38))*k assuming k is positive. k**(-26) Simplify ((d*d**(-5)*d*d)/(d*(d*(d/((d**(2/3)/d)/d*d)*d)/d)/d*d))/(d**(-2))**(-3/32) assuming d is positive. d**(-265/48) Simplify h**(7/9)/(h/h**(38/3)) assuming h is positive. h**(112/9) Simplify (s**1)**15/(((s**(2/5)*s)/s*s)/s)**(-3) assuming s is positive. s**(81/5) Simplify x/(x**(-3)*x)*x/(x/((x**(-2/31)*x)/x)) assuming x is positive. x**(91/31) Simplify z**(4/7)/z**(2/7)*z/(z/(z*z*z**(-5)*z))*z*z**(2/11) assuming z is positive. z**(-41/77) Simplify j/(j*j**(-1/2))*j*(j*j**(-2/15))/j assuming j is positive. j**(41/30) Simplify (((o/(o/(o/(o/(o*(o*o*(o*((o*o*(o/o**4)/o)/o)/o)/o)/o)))))/o*o)/o)/o**(-7)*o**8/(o**5/o*o) assuming o is positive. o**7 Simplify (j**(-2/27)*j*j)/j**(-18/13) assuming j is positive. j**(1162/351) Simplify (l**(-3/7)/(l/((l/l**16)/l)))**(-1/24) assuming l is positive. l**(61/84) Simplify ((r**(1/4)/r*r)**(-13/3))**(-2/35) assuming r is positive. r**(13/210) Simplify b**5/(b*b**(-4/5)) assuming b is positive. b**(24/5) Simplify h**(-2/3)*h/h**9*h*(h/h**
{ "pile_set_name": "DM Mathematics" }
-5 (c) -0.39063 c What is the fourth biggest value in 3, -1, 0.952, -22, 5/2, 1/6, -2.2? 1/6 Which is the fourth biggest value? (a) 15/233 (b) -5099 (c) 1 (d) -1/16 b Which is the fifth smallest value? (a) 0.07 (b) -2/89 (c) -42 (d) -1 (e) -3 (f) -1/2 b Which is the third biggest value? (a) -0.3 (b) 3 (c) 3/4 (d) -22/5 (e) 12/5 (f) 756 e What is the biggest value in -2, -0.3, 2/85, 5, 2/3, 7, -20? 7 Which is the third smallest value? (a) 0.3 (b) 673.83 (c) 1/2 (d) 1/4 (e) -2 a Which is the second smallest value? (a) -1155 (b) 0.4 (c) -808/19 c What is the fourth smallest value in -774.355, 0, 0.27, 0.5? 0.5 Which is the smallest value? (a) -70 (b) 3 (c) -97 (d) 2/3 (e) -0.3 (f) -3 c What is the second biggest value in -4, 0.32, 522? 0.32 Which is the third smallest value? (a) -0.01 (b) -0.11 (c) 256.693 c Which is the fifth smallest value? (a) -225 (b) -4 (c) 1.6 (d) -0.4 (e) 857 e What is the fourth biggest value in -3/8, -3, 5, 23, -952.6, 0.3? -3/8 Which is the fourth biggest value? (a) 0.5 (b) 3/2 (c) -2/21 (d) 2524 c Which is the fourth biggest value? (a) 1/5 (b) -0.2 (c) 321/8 (d) 3 (e) -1/14 (f) 5 (g) -6 a Which is the fifth biggest value? (a) 9 (b) 0 (c) -45 (d) -2/13 (e) -0.5 (f) -4/3 f Which is the sixth biggest value? (a) -3 (b) -3/13 (c) 8 (d) -7/9 (e) -0.4 (f) 3.2 a Which is the smallest value? (a) -0.1 (b) -100 (c) -0.5 (d) -4442 (e) 2 (f) -0.4 d What is the second biggest value in -0.06, -28/28485, -0.056? -0.056 What is the biggest value in -1, -12.327, -20, -0.2? -0.2 Which is the third smallest value? (a) -0.076 (b) 6/17 (c) -23 (d) -3 (e) -4 (f) 0.1 d What is the third biggest value in -2, -1/4, -2392686, 28? -2 Which is the third smallest value? (a) 426.25 (b) -49 (c) -2/595 a What is the fifth biggest value in 265, -3, 2/7, 14/9, 4, -0.4? -0.4 Which is the smallest value? (a) -2/9 (b) 6 (c) 2/655 (d) 0.4 (e) 2 (f) 144 a Which is the smallest value? (a) 1 (b) -2/13 (c) -7.413 (d) 4.8 (e) 1/6 c What is the biggest value in 2/3011, -4.6, -2, 5/2, 1, -0.12? 5/2 What is the biggest value in 0.01039, 14/9, 2, -3/35? 2 Which is the fourth biggest value? (a) -16/9 (b) 5/3 (c) -1/4 (d) -0.234 (e) -0.1 (f) -32 (g) -2 c Which is the third biggest value? (a) 2.53 (b) -0.7511 (c) -27 (d) 5 (e) -2 b What is the seventh biggest value in -1/2, -5/3, -523/3, 1/54, 2, -3, -1? -523/3 What is the biggest value in 5/188, 0.2, 29219, 0.4? 29219 What is the fifth smallest value in 84, -1/7, 4/59, 0.1, 1/2, -1/4, -3/7? 0.1 What is the sixth biggest value in 1, 6, 9, -2/15, -75/4, 5, 3.26? -2/15 What is the smallest value in -4, -5, 2, 477, -6, -17/5? -6 Which is the second smallest value? (a) 7 (b) -1/265 (c) 145/3 (d) 0 d What is the smallest value in -4, -0.1, -2, 5/14, 235.09? -4 What is the fourth biggest value in -647, 0.018, -0.4, -2/13, 4/3, 2? -2/13 Which is the third biggest value? (a) 49413 (b) -0.1 (c) -3/2 (d) 230 (e) 1/2 e Which is the sixth smallest value? (a) -2 (b) -3/7 (c) -51 (d) -0.4 (e) 14/9 (f) -11 (g) 5/2 e Which is the fourth biggest value? (a) -1 (b) -1/2 (c) -3/7 (d) -2/7 (e) 547410 b What is the second biggest value in -0.12, -4, 10, -29, 1.99? 1.99 Which is the biggest value? (a) -8320.9 (b) -1/11 (c) 7 (d) 0.1 c What is the second biggest value in -1, 734508, -3? -1 Which is the third biggest value? (a) -0.02 (b) -1823756 (c) 0.1 b What is the third smallest value in -0.01, -29/1613, 1/5? 1/5 Which is the seventh smallest value? (a) -39 (b) -95 (c) 2/11 (d) -47 (e) 6 (f) 3/4 (g) -2/5 e What is the third smallest value in 6018, -0.6, 2, 0.9? 2 What is the smallest value in -1, 0.001, 317/32? -1 What is the biggest value in 5, -1, 0.039, 1, -2/3, -41/2? 5 Which is the seventh smallest value? (a) -31 (b) -61 (c) 5 (d) -1 (e) -7 (f) 0.4 (g) -5 c Which is the biggest value? (a) -4/143 (b) -0.25 (c) 0.074 c Which is the smallest value? (a) 2/23 (b) 20 (c) -1/12 (d) -1/4 (e) 41 d What is the fourth smallest value in -0.21, -58, 0.3, 7? 7 Which is the third biggest value? (a) 49 (b) 158 (c) -5 (d) 55 a Which is the fourth biggest value? (a) -4/5 (b) -3 (c) 137 (d) 46 (e) 19 (f) 0.2 (g) -1/3 f Which is the smallest value? (a) -0.3 (b) 2/37243 (c) -5 (d) -1 c Which is the fifth biggest value? (a) -1/4 (b) -0.5 (c) 3 (d) 0.6 (e) -7592.6 e Which is the third smallest value? (a) 622 (b) -1325 (c) 0.2 a Which is the seventh biggest value? (a) -0.3 (b) 2057 (c) 2/51 (d) 9 (e) -4 (f) 4 (g) -1/9 e Which is the second smallest value? (a) -2 (b) 0.1 (c) -0.4 (d) -1/5 (e) 7293 (f) 1/2 c What is the smallest value in -827, -515.8, 4? -827 Which is the fourth biggest value? (a) -17/190 (b) -6 (c) -22 (d) -3/5 c Which is the third biggest value? (a) -0.5 (b) -3/7 (c) 575 (d) -0.4 (e) 2/9 (f) -321 d Which is the fifth biggest value? (a) -6.4 (b) -1.5 (c) -2/13 (d) -2 (e) -18 (f) 5 a What is the smallest value in 5, -3, -2/17, -2/9, 1/10, 2/3, -418? -418 Which is the third smallest value? (a) 1487 (b) -2/1695 (c) -273 a What is the third smallest value in -1/8, -0.2, -0.13, 0.08, 0.5, 0.4, 34? -1/8 What is the second smallest value in 2, 555, -1, 11.5, 2/7, 0.3? 2/7 What is the sixth smallest value in -1/5, 4, -3, -2/9, -2/9941, 3? 4 What is the smallest value in 35310, 2/35, 2/17? 2/35 Which is the third smallest value? (a) -0.3 (b) -3 (c) -602 (d) -15 (e) 5 (f) -0.5 b Which is the smallest value? (a) 0.1 (b) 29 (c) -0.3 (d) 14/251 (e) -0.7 (f) 3 (g) 0.4 e Which is the third biggest value? (a) -616 (b) 0.06 (c) -28.1 a What is the fifth biggest value in 3/16, -45, -1, 0.07, -1/4, 57? -1 Which is the second smallest value? (a) 0.5 (b) -2 (c) 26/537 (d) -242 b What is the third biggest value in -26/7, -0.1, 1/5, -3/2, -17, -1/8, -6? -1/8 Which is the fifth smallest value? (a) -0.01 (b) -1 (c) -0.18 (d) -0.5 (e) -3 (f) 0.5 (g) 5.73 a What is the second smallest value in 1005610579, 5, 4/5? 5 What is the second biggest value in -15942, 1.4, 54, 1? 1.4 Which is the fourth biggest value? (a) 139 (b) 3017 (c) 1/16 (d) -5/2 d What is the smallest value in 2/1223, -1, -124.327? -124.327 What is the second smallest value in -11, 35, -3/124, 10? -3/124 Which is the second biggest value? (a) -7.26 (b) 5 (c) -2 (d) 35 (e) 7 e Which is the third biggest value? (a) 0.8 (b) 1/4 (c) -1/4 (d) -64 (e) 1/3 (f) -3 (g) 59.9 e Which is the fourth biggest value? (a) 0.4 (b) 1467 (c) -145 (d) -2/7 (e) -0.3 e What is the fifth biggest value in 6/7, -4, -1, 17772, 1? -4 What is the third biggest value in -6/7, -0.017, 0.09, -1/10, 0.4? -0.017 What is the second smallest value in 8, -12/11, 0.2, -4, 1.7, -2, 2/5? -2 Which is the smallest value? (a) -2/13 (b) 4578 (c) 289 (d) -34/7 (e) -0.5 d What is the second biggest value in 1.0011, 22, -2/91? 1.0011 What is the fourth smallest value in 5, 1/4, -1/3, -3, -88833? 1/4 What is the third smallest value in 4, 5, -0.4, 0.15, 3155? 4 Which is the fourth biggest value? (a) -46 (b) 0.5 (c) -0.11 (d) 86 (e) 5 c Which is the third smallest value? (a) -51/167987 (b) -0.1 (c) 5 c Which is the third smallest value? (a) -5/6 (b) -1653 (c) -4119 a What is the seventh smallest value in -0.03, 55, 5/7, 1/11, 0.2, 3, -5? 55 Which is the smallest value? (a) -0.5 (b) -341394 (c) 2001 b What is the smallest value in 5, 1/10, 52, -50, -0.3, 0.08? -50 What is the fourth smallest value in 0.09, -1, -0.3, -13/4, 58, 2/3, 1/9? 0.09 Which is the fourth biggest value? (a) 3 (b) 87 (c) -1/131 (d) 1 (e) 2237 d Which is the third biggest value? (a) -17 (b) -1.2 (c) 4/32059 a What is the biggest value in -5, 0.4, -133, -98, 0.0844? 0.4 Which is the third biggest value? (a) 11054 (b) -0.4 (c) 4/5 (d) -4160 b Which is the fourth smallest value? (a) 0 (b) -3 (c) -78 (d) 1274 (e) 0.4 (f) -0.3 (g) 1 a Which is the biggest value? (a) 2 (b) -5 (c) 265 (d) 9 (e) 0.304 c Which is the third biggest value? (a) 4/7 (b) -2 (c) -61.6 (d) 0.1 (e) 0.01 e Which is the fifth smallest value? (a) -0.105 (b) 0 (c) -49 (d) 1/237 (e) -14 d Which is the fourth biggest
{ "pile_set_name": "DM Mathematics" }
nder when 62 is divided by 39? 23 What is the remainder when 144 is divided by 78? 66 What is the remainder when 478 is divided by 96? 94 What is the remainder when 1315 is divided by 31? 13 Calculate the remainder when 823 is divided by 7. 4 Calculate the remainder when 210 is divided by 32. 18 Calculate the remainder when 556 is divided by 14. 10 Calculate the remainder when 658 is divided by 132. 130 What is the remainder when 742 is divided by 371? 0 Calculate the remainder when 213 is divided by 50. 13 Calculate the remainder when 125 is divided by 6. 5 What is the remainder when 120 is divided by 116? 4 What is the remainder when 3188 is divided by 42? 38 What is the remainder when 517 is divided by 35? 27 Calculate the remainder when 133 is divided by 35. 28 Calculate the remainder when 93 is divided by 6. 3 What is the remainder when 42 is divided by 22? 20 Calculate the remainder when 31 is divided by 28. 3 What is the remainder when 2131 is divided by 97? 94 Calculate the remainder when 40 is divided by 2. 0 What is the remainder when 102 is divided by 51? 0 What is the remainder when 141 is divided by 30? 21 Calculate the remainder when 93 is divided by 42. 9 Calculate the remainder when 21962 is divided by 23. 20 What is the remainder when 167 is divided by 7? 6 What is the remainder when 99 is divided by 21? 15 What is the remainder when 175 is divided by 8? 7 Calculate the remainder when 2126 is divided by 2123. 3 What is the remainder when 104 is divided by 80? 24 Calculate the remainder when 365 is divided by 59. 11 Calculate the remainder when 464 is divided by 23. 4 Calculate the remainder when 317 is divided by 18. 11 What is the remainder when 1185 is divided by 1170? 15 What is the remainder when 2421 is divided by 805? 6 What is the remainder when 15 is divided by 6? 3 Calculate the remainder when 213 is divided by 68. 9 Calculate the remainder when 342 is divided by 128. 86 Calculate the remainder when 475 is divided by 17. 16 Calculate the remainder when 1330 is divided by 173. 119 Calculate the remainder when 2111 is divided by 32. 31 Calculate the remainder when 80 is divided by 14. 10 What is the remainder when 147 is divided by 25? 22 What is the remainder when 103 is divided by 46? 11 What is the remainder when 114 is divided by 4? 2 What is the remainder when 4583 is divided by 914? 13 What is the remainder when 279 is divided by 20? 19 What is the remainder when 137 is divided by 42? 11 Calculate the remainder when 145 is divided by 44. 13 Calculate the remainder when 7383 is divided by 13. 12 Calculate the remainder when 191 is divided by 6. 5 Calculate the remainder when 425 is divided by 185. 55 What is the remainder when 75 is divided by 3? 0 Calculate the remainder when 105 is divided by 77. 28 Calculate the remainder when 653 is divided by 55. 48 What is the remainder when 34 is divided by 12? 10 What is the remainder when 233 is divided by 61? 50 What is the remainder when 425 is divided by 34? 17 Calculate the remainder when 1701 is divided by 71. 68 Calculate the remainder when 453 is divided by 76. 73 What is the remainder when 7953 is divided by 215? 213 Calculate the remainder when 297 is divided by 25. 22 Calculate the remainder when 33632 is divided by 31. 28 Calculate the remainder when 225 is divided by 35. 15 Calculate the remainder when 67 is divided by 14. 11 Calculate the remainder when 95 is divided by 6. 5 What is the remainder when 113 is divided by 16? 1 What is the remainder when 20518 is divided by 108? 106 Calculate the remainder when 946 is divided by 160. 146 Calculate the remainder when 609 is divided by 199. 12 What is the remainder when 43 is divided by 3? 1 What is the remainder when 1044 is divided by 256? 20 Calculate the remainder when 229 is divided by 60. 49 What is the remainder when 45 is divided by 23? 22 What is the remainder when 11948 is divided by 3977? 17 Calculate the remainder when 825 is divided by 9. 6 Calculate the remainder when 320 is divided by 7. 5 Calculate the remainder when 102 is divided by 36. 30 Calculate the remainder when 426 is divided by 12. 6 What is the remainder when 8901 is divided by 21? 18 What is the remainder when 1415 is divided by 192? 71 What is the remainder when 1135 is divided by 71? 70 What is the remainder when 3692 is divided by 16? 12 Calculate the remainder when 179 is divided by 9. 8 What is the remainder when 713 is divided by 65? 63 Calculate the remainder when 67 is divided by 26. 15 Calculate the remainder when 856 is divided by 189. 100 Calculate the remainder when 3537 is divided by 10. 7 What is the remainder when 303 is divided by 102? 99 What is the remainder when 211 is divided by 108? 103 Calculate the remainder when 24 is divided by 23. 1 Calculate the remainder when 3534 is divided by 35. 34 Calculate the remainder when 79 is divided by 36. 7 What is the remainder when 273 is divided by 25? 23 What is the remainder when 174 is divided by 162? 12 Calculate the remainder when 402 is divided by 98. 10 Calculate the remainder when 31 is divided by 30. 1 Calculate the remainder when 537 is divided by 109. 101 What is the remainder when 1817 is divided by 6? 5 Calculate the remainder when 17254 is divided by 17. 16 Calculate the remainder when 193 is divided by 66. 61 What is the remainder when 3726 is divided by 13? 8 Calculate the remainder when 1958 is divided by 646. 20 What is the remainder when 247 is divided by 31? 30 Calculate the remainder when 25043 is divided by 7. 4 What is the remainder when 3984 is divided by 9? 6 What is the remainder when 316 is divided by 31? 6 Calculate the remainder when 577 is divided by 72. 1 What is the remainder when 64 is divided by 11? 9 What is the remainder when 903 is divided by 161? 98 What is the remainder when 181 is divided by 78? 25 What is the remainder when 131 is divided by 24? 11 What is the remainder when 148 is divided by 65? 18 Calculate the remainder when 397 is divided by 57. 55 What is the remainder when 23 is divided by 17? 6 What is the remainder when 4624 is divided by 72? 16 What is the remainder when 630 is divided by 13? 6 What is the remainder when 2915 is divided by 54? 53 Calculate the remainder when 48483 is divided by 29. 24 Calculate the remainder when 81 is divided by 24. 9 What is the remainder when 11164 is divided by 13? 10 What is the remainder when 4928 is divided by 35? 28 Calculate the remainder when 1834 is divided by 24. 10 What is the remainder when 600 is divided by 564? 36 Calculate the remainder when 315 is divided by 64. 59 What is the remainder when 151 is divided by 38? 37 What is the remainder when 310 is divided by 12? 10 Calculate the remainder when 4903 is divided by 45. 43 Calculate the remainder when 260 is divided by 29. 28 What is the remainder when 3626 is divided by 5? 1 Calculate the remainder when 714 is divided by 234. 12 Calculate the remainder when 889 is divided by 109. 17 Calculate the remainder when 2710 is divided by 881. 67 What is the remainder when 197 is divided by 40? 37 What is the remainder when 738 is divided by 102? 24 What is the remainder when 87 is divided by 9? 6 Calculate the remainder when 209 is divided by 21. 20 Calculate the remainder when 605 is divided by 246. 113 What is the remainder when 1345 is divided by 45? 40 Calculate the remainder when 248 is divided by 159. 89 What is the remainder when 537 is divided by 34? 27 Calculate the remainder when 262 is divided by 68. 58 What is the remainder when 403 is divided by 45? 43 What is the remainder when 325 is divided by 74? 29 Calculate the remainder when 764 is divided by 5. 4 Calculate the remainder when 539 is divided by 172. 23 Calculate the remainder when 302 is divided by 109. 84 Calculate the remainder when 7618 is divided by 19. 18 What is the remainder when 1559 is divided by 263? 244 What is the remainder when 452 is divided by 86? 22 What is the remainder when 484 is divided by 114? 28 Calculate the remainder when 3164 is divided by 55. 29 What is the remainder when 648 is divided by 614? 34 Calculate the remainder when 178 is divided by 6. 4 Calculate the remainder when 35203 is divided by 58. 55 Calculate the remainder when 791 is
{ "pile_set_name": "DM Mathematics" }
sqrt(22)/sqrt(2) + 3)**2 - -4*(2 + sqrt(1100)). 19 + 40*sqrt(11) Simplify sqrt(152)/(sqrt(32)/sqrt(4)) + -4 + 5 + (-3*(sqrt(1216) + 2*sqrt(1216) + sqrt(1216)) + -5)**2. 961*sqrt(19) + 175130 Simplify ((0 + sqrt(11)*1 - (-2*sqrt(891) - sqrt(11)))*3 - -6*(2*sqrt(99)*6 - sqrt(99))/sqrt(9))**2. 174636 Simplify 1 + ((sqrt(121) + (sqrt(121)*1 - sqrt(121)) + sqrt(121))*6*3)/(sqrt(1584) + 2*sqrt(1584)*2). 1 + 3*sqrt(11)/5 Simplify 6*(((-1*sqrt(266) + sqrt(266))/sqrt(7))/(sqrt(18)*3))**2 + 5. 5 Simplify -3 + (sqrt(88)/sqrt(4))/sqrt(2) + -1 + (6*(sqrt(132) + sqrt(132)*2 - sqrt(132)))/sqrt(12). -4 + 13*sqrt(11) Simplify 2 + (-2 + sqrt(171) + 0 + (sqrt(171) - (-1 + sqrt(171) + sqrt(171))))**2. 3 Simplify 6*((-4 + (sqrt(363) - sqrt(363)*1) + sqrt(363) + (sqrt(363) + -2*sqrt(363))*-5)*2*4)**2. -202752*sqrt(3) + 5024256 Simplify (((sqrt(2736) - (sqrt(2736) + 3) - sqrt(2736)) + -3)*6*-2)**2. 20736*sqrt(19) + 399168 Simplify 5 + (1*sqrt(405) + (5 + sqrt(20) - sqrt(5)) + sqrt(5) + -5)**2. 610 Simplify ((sqrt(156) - -4*sqrt(156) - sqrt(156))*3 + sqrt(156))/(sqrt(1452) + 2*sqrt(1452)). 13*sqrt(13)/33 Simplify ((sqrt(448) - 2*sqrt(448))*1)**2*-3 + (sqrt(700) - (5*(sqrt(700) + (sqrt(700) + sqrt(700) + 1)**2 + sqrt(700)) + sqrt(700)))*-3. 900*sqrt(7) + 40671 Simplify sqrt(550)/sqrt(11) + 5 + (6*(5 + (sqrt(2) + 4 - sqrt(2))))**2. 5*sqrt(2) + 2921 Simplify (0 + (sqrt(176) - sqrt(176)*-5) + sqrt(176) + (sqrt(176)*1*5 - sqrt(176)) + 2)**2. 176*sqrt(11) + 21300 Simplify (-5 + -6*sqrt(7)*-1 - (-5 + (sqrt(28) - sqrt(84)/sqrt(3))/sqrt(4) + sqrt(7))**2) + -5. -42 + 16*sqrt(7) Simplify (-2*(sqrt(143) + 1*sqrt(143))*-4)/(sqrt(11) - (sqrt(539) - -2*sqrt(539)) - (sqrt(99)/sqrt(3))/sqrt(3)). -16*sqrt(13)/21 Simplify 4 + (sqrt(17) - (1 + sqrt(17))) + -3*(sqrt(34)/sqrt(2))**2 + -5 + -1. -54 Simplify sqrt(800) + (sqrt(800) + sqrt(800) + 0)**2 + -2 - (sqrt(800) - (1 + sqrt(800) + 3)). 20*sqrt(2) + 3202 Simplify -1*(sqrt(1900) + 1*sqrt(1900) + -4 + sqrt(1900) - (-3 + sqrt(1900) + 0))*5. -100*sqrt(19) + 5 Simplify ((2*(sqrt(66) - -1*sqrt(66)))/sqrt(6) - (0 + sqrt(176))*1)**2*-1. 0 Simplify (-5*(-4 + sqrt(10)/((-2*sqrt(25))/sqrt(5))))**2. 100*sqrt(2) + 825/2 Simplify (sqrt(68) + -1 + sqrt(68))*3 - ((sqrt(187) - (sqrt(187) + (sqrt(187)*3 + sqrt(187) + sqrt(187))*-5))/sqrt(11))**2. -10628 + 12*sqrt(17) Simplify (-5*sqrt(18)/(sqrt(9) + sqrt(1089)*1 + sqrt(9)))**2 - -5*-6*5*1*sqrt(2). -150*sqrt(2) + 50/169 Simplify sqrt(11) + (3*sqrt(539))**2 + sqrt(539) + 1*sqrt(99) + ((sqrt(132)*-1 + sqrt(132))/sqrt(6))/sqrt(2)*2. 11*sqrt(11) + 4851 Simplify -3*(((sqrt(385)*1)/sqrt(7) + sqrt(495)*-6)/(sqrt(5) + 4*sqrt(10)/sqrt(2) + (sqrt(5) - (sqrt(5) - -1*(sqrt(5) - (sqrt(5) - sqrt(20)/sqrt(4)))))))**2. -9537/16 Simplify -1 + (4*(3*(sqrt(76) + 1 + sqrt(76)) - (-2 + sqrt(1900) + sqrt(1900) + 0)))**2. -1280*sqrt(19) + 19855 Simplify -4 + -1 + sqrt(1900) - (-2*-1*sqrt(209))/sqrt(11). -5 + 8*sqrt(19) Simplify (1 + 2*sqrt(98) + -3 + (sqrt(98) + -1)*4)**2. -504*sqrt(2) + 3564 Simplify (-1*sqrt(1936))/(sqrt(8) + (sqrt(56) + sqrt(56) + sqrt(224)/sqrt(4))/sqrt(7)). -11*sqrt(2)/4 Simplify (5 + (sqrt(5) + sqrt(45)/(1*sqrt(9)) + -1 - (sqrt(245)/(-1*sqrt(7)) + sqrt(35))/sqrt(7)))**2 + 4. 16*sqrt(5) + 40 Simplify (6*(sqrt(70) + (1*sqrt(70) - sqrt(70))))/(-2*sqrt(360)). -sqrt(7)/2 Simplify (2*sqrt(128)*2*-6)**2 - 5*((3 + sqrt(128) + 2*sqrt(128) + sqrt(128))**2 + sqrt(128)). -1000*sqrt(2) + 63443 Simplify (-5 + 4*(-1 + 2*sqrt(1300)*-1 + 5))**2. -1760*sqrt(13) + 83321 Simplify (sqrt(80)/sqrt(324))/sqrt(4) - (-4 + (sqrt(5) - sqrt(25)/(sqrt(45)/sqrt(9)))). sqrt(5)/9 + 4 Simplify (sqrt(1100) - (-5 + (3*sqrt(1100) - sqrt(1100))))**2 + (-5 + sqrt(11) + sqrt(44)/sqrt(4) - -1*(sqrt(11) + -2)**2). -102*sqrt(11) + 1135 Simplify ((sqrt(120)*1 + sqrt(120))/sqrt(8))/(sqrt(27) + sqrt(270)/sqrt(10)). sqrt(5)/3 Simplify ((1 + sqrt(3) + 0 + -1 + sqrt(108))*4 + 2 + (-2*sqrt(3)*2 - sqrt(192)))**2. 64*sqrt(3) + 772 Simplify ((((2*sqrt(125) - sqrt(125))*4 - sqrt(125)) + -4 + (sqrt(125)*-1 - sqrt(125)) + sqrt(125) - (-4 + -1 + sqrt(125) + 0)) + 2)**2. 30*sqrt(5) + 134 Simplify (2*sqrt(294)*3)/(sqrt(50) - -1*sqrt(1800)). 6*sqrt(3)/5 Simplify ((sqrt(800) + -2*sqrt(800))/(sqrt(60)/sqrt(24)))**2 + 5. 325 Simplify 3*((3*(sqrt(171) + 1 - sqrt(171)) - sqrt(171) - (sqrt(171) - (-1 + sqrt(171))*5 - sqrt(171))) + 4)**2*-1. -8220 - 144*sqrt(19) Simplify (sqrt(24)*3)/((sqrt(42)/sqrt(7))/sqrt(3)). 6*sqrt(3) Simplify (sqrt(200) + -3 + 0 - sqrt(200))**2*-5 + -2*((sqrt(200) + -2)**2 + 3). -459 + 80*sqrt(2) Simplify ((2*sqrt(104)*-6)/(3*sqrt(48)/sqrt(6)))**2 + -4. 204 Simplify -3*(sqrt(12) + -2) - ((0 + sqrt(243) - sqrt(243)) + (sqrt(3) - (sqrt(3) + 5*(sqrt(3) - sqrt(12))) - sqrt(3))**2). -42 - 6*sqrt(3) Simplify ((sqrt(3024) + sqrt(3024)*-2)/(sqrt(3) + sqrt(84)/sqrt(7)))**2 + 5. 117 Simplify (2 + sqrt(4500) + 1 + 0)**2 + 3. 180*sqrt(5) + 4512 Simplify sqrt(133)/(sqrt(112)*5) - (sqrt(1216)*-1 - sqrt(1216) - -3*-1*sqrt(19)). 381*sqrt(19)/20 Simplify 0 + (3 + sqrt(76) - sqrt(19))**2 - (6*sqrt(19)*-3*-2)**2. -24596 + 6*sqrt(19) Simplify -4 + sqrt(12) + 2 - (-4 + sqrt(75)*-3). 2 + 17*sqrt(3) Simplify (-1 + sqrt(720) + -1 - (sqrt(720)*1 - sqrt(720))*2)**2. -48*sqrt(5) + 724 Simplify (((sqrt(200) - (sqrt(200) + -2 - sqrt(200)) - sqrt(200))**2 + sqrt(200))*-1 - (sqrt(128)/sqrt(4)*3)**2)*6. -1752 - 60*sqrt(2) Simplify 2 + 4 + ((sqrt(500) + sqrt(500)*-2 + 5 - sqrt(500) - sqrt(500))*5)**2. -7500*sqrt(5) + 113131 Simplify ((-2*(-2*sqrt(209)*-5 + sqrt(209)))/(sqrt(176) - (sqrt(176)*-1*1 - sqrt(176))))**2. 2299/36 Simplify -3 + ((sqrt(98) - (sqrt(98)*1 + 2))*-5)**2 + (sqrt(98) - (sqrt(98) + 1 + -5))*-1. 93 Simplify 2*-3*sqrt(7) + -3*sqrt(28) - (-5 + (sqrt(77) - (-6*sqrt(77)*1 - sqrt(77)))/sqrt(11)). -20*sqrt(7) + 5 Simplify (-4 + sqrt(1620) + -1 - (sqrt(1620)*2 + -2))**2*3*6. 1944*sqrt(5) + 29322 Simplify ((-3*(sqrt(114)*2 - sqrt(114)) - sqrt(114))*-1)/(sqrt(36)/(-6*(sqrt(6) + 2*sqrt(6)))). -72*sqrt(19) Simplify (sqrt(700) - (-3 + sqrt(700) + sqrt(700) + 1 + sqrt(700)))**2*6 - (((-3*sqrt(21))/sqrt(3))**2 + (sqrt(112))**2*3). -480*sqrt(7) + 16425 Simplify (-5*sqrt(1408))/((sqrt(8)*-4)/sqrt(4) - sqrt(2) - sqrt(2)). 20*sqrt(11)/3 Simplify (sqrt(204)*1*1 + sqrt(204))/(sqrt(12) + (1*sqrt(144))/sqrt(12))*-2. -2*sqrt(17) Simplify ((sqrt(4598)*2 - sqrt(4598))/(sqrt(198)/sqrt(11) + sqrt(2)))**2 - (((-3 + 1 + sqrt(19))**2 - (sqrt(76))**2*4) + 5). 4*sqrt(19) + 6715/16 Simplify (-2*(-1 + sqrt(11)) - (-1*sqrt(99))/sqrt(9)) + -3 + (2*(sqrt(77) + sqrt(77)*2))/(1*sqrt(1008)). -sqrt(11)/2 - 1 Simplify -3*((sqrt(931) - (-2*sqrt(931)*2 + sqrt(931) + sqrt(931))) + 1)**2. -25140 - 126*sqrt(19) Simplify ((sqrt(38)/sqrt(2) - sqrt(19) - sqrt(19)) + 0 + (sqrt(19) - -2*sqrt(171)))**2 + (sqrt(684)*2 - sqrt(684))**2 + sqrt(95)/(-1*sqrt(5)). -sqrt(19) + 1368 Simplify -1*3*sqrt(68)/sqrt(4) + ((3*(sqrt(2448) + 1 - sqrt(2448)))**2 - sqrt(2448)). -15*sqrt(17) + 9 Simplify ((2*sqrt(18)/sqrt(3)*-6)/((5*(sqrt(288) - sqrt(18)))/sqrt(6)))**2. 32/25 Simplify ((sqrt(13) + sqrt(208) + sqrt(208) + 0 + sqrt(208) + sqrt(208))**2 - (sqrt(208)*-2 - sqrt(208))) + (-4 + (sqrt(143) + 4*sqrt(143))/sqrt(11))**2. -28*sqrt(13) + 4098 Simplify (sqrt(50)/((sqrt(10) - sqrt(640)) + sqrt(10))*5)**2 + (sqrt(160)/sqrt(2) - sqrt(80)*-2). 125/36 + 12*sqrt(5) Simplify 5 + sqrt(153) + 0 - sqrt(153) - (sqrt(153) + -5*sqrt(153))*-6. -72*sqrt(17) + 5 Simplify (3 + (sqrt(45) - (-1*sqrt(405))/sqrt(9)))**2 + (sqrt(180) + (sqrt(180) - 1*sqrt(180) - sqrt(180))*-2)**2 + -1. 36*sqrt(5) + 1808 Simplify (sqrt(825)*-1)/(sqrt(75) + sqrt(75) + -2*sqrt(75) - sqrt(75)) + 4. sqrt(11) + 4 Simplify -5 + ((1 + sqrt(245)*-2)**2 - (sqrt(245) + sqrt(245) + -1*(sqrt(245) + -2 - sqrt(245)) + sqrt(245))). -49*sqrt(5) + 974 Simplify (2*sqrt(88)*4 + sqrt(88) + sqrt(88))/sqrt(8) + 4 + 5. 9 + 10*sqrt(11) Simplify ((1*2*sqrt(220))/sqrt(10))/((-3*sqrt(704) - sqrt(704))*-1). sqrt(2)/16 Simplify (-1*(-4*2*sqrt(187) + sqrt(187)))/(sqrt(66)/(-2*sqrt(96))). -56*sqrt(17) Simplify (sqrt(180) - (1*sqrt(180) - sqrt(180))*6)/((sqrt(36) - sqrt(36)*2 - sqrt(36))*2). -sqrt(5)/4 Simplify (-3*(sqrt(17) + (2 + sqrt(17) - sqrt(17))))**2*-3 + (sqrt(833) + 0 - ((0 + sqrt(17))*-2)**2) + -1. -636 - 101*sqrt(17) Simplify -3*((-6*(0 + (sqrt(44)*1)/sqrt(4)*5))**2 + 5). -29715 Simplif
{ "pile_set_name": "DM Mathematics" }
ny centimeters are there in 19/4 of a meter? 475 What is 937993.5 months in centuries? 781.66125 How many nanometers are there in 7/2 of a micrometer? 3500 What is 179.4597903 seconds in weeks? 0.00029672584375 How many minutes are there in fifteen quarters of a week? 37800 What is 974.7307 tonnes in micrograms? 974730700000000 Convert 106.4856mg to tonnes. 0.0000001064856 How many kilometers are there in 28563.1 nanometers? 0.0000000285631 What is 25/2 of a gram in milligrams? 12500 How many nanograms are there in 1/4 of a microgram? 250 How many millimeters are there in 991.4926um? 0.9914926 Convert 140.1909 nanograms to micrograms. 0.1401909 How many milliseconds are there in 1/15 of a minute? 4000 Convert 1912.922 millilitres to litres. 1.912922 What is 1/4 of a millennium in decades? 25 What is one twentieth of a gram in milligrams? 50 How many months are there in 2.752285 years? 33.02742 How many centuries are there in thirty-two fifths of a millennium? 64 How many nanometers are there in five quarters of a micrometer? 1250 How many seconds are there in 7/16 of a hour? 1575 What is 7/8 of a litre in millilitres? 875 How many nanometers are there in 1/5 of a micrometer? 200 How many litres are there in 7240.331ml? 7.240331 What is 556325.2 kilometers in micrometers? 556325200000000 How many millilitres are there in seventy-five eighths of a litre? 9375 Convert 65806.2 litres to millilitres. 65806200 How many months are there in 13/8 of a millennium? 19500 What is 892155.1 centuries in months? 1070586120 How many weeks are there in 1557.865764ms? 0.00000257583625 What is 58158.8 kilometers in centimeters? 5815880000 How many litres are there in 0.4613477ml? 0.0004613477 What is 69638.15 millilitres in litres? 69.63815 What is 2.644232um in centimeters? 0.0002644232 What is 22229.253 months in years? 1852.43775 Convert 18042.23 years to millennia. 18.04223 How many nanograms are there in 29/2 of a microgram? 14500 Convert 178051.2 litres to millilitres. 178051200 Convert 749704.9 decades to years. 7497049 What is 8.392876 centimeters in meters? 0.08392876 Convert 93569.3 centimeters to meters. 935.693 What is 1/5 of a meter in centimeters? 20 What is 6.195615kg in grams? 6195.615 What is 4.661731 kilograms in grams? 4661.731 What is 24.186702 nanoseconds in minutes? 0.0000000004031117 What is 61330.388 days in weeks? 8761.484 What is 919.655mm in centimeters? 91.9655 What is three tenths of a litre in millilitres? 300 How many millilitres are there in 8673.079l? 8673079 How many litres are there in 941957.7ml? 941.9577 How many micrometers are there in 3/16 of a centimeter? 1875 What is 30990.25 nanograms in tonnes? 0.00000000003099025 What is 25127531.1s in weeks? 41.54684375 What is 1/64 of a millimeter in nanometers? 15625 How many meters are there in 0.4537842 millimeters? 0.0004537842 Convert 687.5715 millilitres to litres. 0.6875715 Convert 510788.4mm to micrometers. 510788400 How many milliseconds are there in 211.482 minutes? 12688920 How many micrograms are there in 1.682092mg? 1682.092 What is 44/5 of a decade in months? 1056 How many meters are there in 948.3993 nanometers? 0.0000009483993 Convert 31.2441 milligrams to nanograms. 31244100 What is 48523.896 minutes in days? 33.69715 How many millilitres are there in 86.35793 litres? 86357.93 How many micrometers are there in one twentieth of a meter? 50000 How many microseconds are there in 3/40 of a millisecond? 75 What is 2606.8704 months in decades? 21.72392 How many millimeters are there in 3/50 of a meter? 60 Convert 298.021 millimeters to kilometers. 0.000298021 What is 0.6882045ng in grams? 0.0000000006882045 How many micrometers are there in six fifths of a centimeter? 12000 How many weeks are there in 180096.651 hours? 1072.003875 What is one sixth of a millennium in months? 2000 What is 64/5 of a micrometer in nanometers? 12800 How many years are there in 0.758215 centuries? 75.8215 What is 43/4 of a century in years? 1075 How many grams are there in thirty-seven halves of a kilogram? 18500 How many millilitres are there in 7/8 of a litre? 875 Convert 0.0371979 millennia to months. 446.3748 Convert 6.075711 centuries to millennia. 0.6075711 What is three fifths of a microgram in nanograms? 600 How many millilitres are there in fifteen quarters of a litre? 3750 What is 8450.659ml in litres? 8.450659 How many days are there in 11.02273 weeks? 77.15911 How many millilitres are there in 553.6487l? 553648.7 What is 0.6233595kg in tonnes? 0.0006233595 Convert 5.330677um to centimeters. 0.0005330677 What is 39.13434 years in months? 469.61208 How many micrometers are there in 896.4738 nanometers? 0.8964738 How many millilitres are there in five eighths of a litre? 625 How many seconds are there in 999.5475 nanoseconds? 0.0000009995475 Convert 6.369522um to kilometers. 0.000000006369522 What is 11/4 of a year in months? 33 What is 3635.62mm in centimeters? 363.562 How many tonnes are there in 892840.3kg? 892.8403 What is 6/5 of a minute in seconds? 72 Convert 9.175074cm to kilometers. 0.00009175074 How many litres are there in 10.51965ml? 0.01051965 How many decades are there in 0.6685139 years? 0.06685139 What is 9/10 of a century in years? 90 Convert 8676.299 centimeters to meters. 86.76299 How many millilitres are there in five quarters of a litre? 1250 Convert 351.1775nm to meters. 0.0000003511775 Convert 5812.813t to grams. 5812813000 What is 3/5 of a litre in millilitres? 600 How many millimeters are there in 2.150496nm? 0.000002150496 What is 524.2126 days in hours? 12581.1024 How many micrograms are there in 5218.174t? 5218174000000000 How many millilitres are there in 3/5 of a litre? 600 How many millilitres are there in 31/2 of a litre? 15500 Convert 447.965 millilitres to litres. 0.447965 What is 29/5 of a micrometer in nanometers? 5800 How many millilitres are there in 73/5 of a litre? 14600 What is 8/25 of a litre in millilitres? 320 How many millilitres are there in 3/8 of a litre? 375 How many litres are there in 6078.567ml? 6.078567 What is 7/2 of a week in minutes? 35280 How many micrometers are there in eleven quarters of a centimeter? 27500 What is 27/4 of a kilogram in grams? 6750 How many centimeters are there in 33/5 of a meter? 660 What is twenty-nine sixths of a day in hours? 116 What is 18653.36 litres in millilitres? 18653360 Convert 4.483571 micrometers to meters. 0.000004483571 What is twenty-seven fifths of a decade in years? 54 Convert 9.763596 millimeters to kilometers. 0.000009763596 What is 11/2 of a decade in years? 55 What is 813.6707 decades in months? 97640.484 Convert 790.1587 kilometers to micrometers. 790158700000 What is 4/15 of a decade in months? 32 How many decades are there in 27/5 of a century? 54 What is 3641808.87us in weeks? 0.000006021509375 How many micrometers are there in one quarter of a centimeter? 2500 What is 7.146856kg in grams? 7146.856 What is 1/10 of a century in years? 10 How many litres are there in 0.4887953 millilitres? 0.0004887953 How many millimeters are there in 3/32 of a kilometer? 93750 How many litres are there in 994.95ml? 0.99495 How many micrograms are there in 7/4 of a milligram? 1750 How many kilograms are there in eighteen fifths of a tonne? 3600 How many milligrams are there in 7.663068g? 7663.068 What is 4394.595 micrograms in kilograms? 0.000004394595 How many millilitres are there in 25/4 of a litre? 6250 How many millilitres are there in 25/2 of a litre? 12500 How many millilitres are there in 0.326556l? 326.556 How many months are there in eighty-three thirds of a year? 332 Convert 442086.5 millennia to decades. 44208650 What is 88096.31 hours in nanoseconds? 317146716000000000 How many months are there in 4/3 of a millennium? 16000 What is three fifths of a micrometer in nanometers? 600 What is twenty-one halves of a litre in millilitres? 10500 How many decades are there in 138.2696 centuries? 1382.696 How many years are there in twenty-seven quarters of a millennium? 6750 How many months are there in 3/50 of a millennium? 720 Convert 7.977729cm to millimeters. 79.77729 How many milligrams are there in 27/4 of a gram? 6750 What is 0.026939 litres in millilitres? 26.939 Convert 45.3528ml to
{ "pile_set_name": "DM Mathematics" }
= 19*a**2. Let n(p) = 3*p**2 + 5*p. Let y(f) = 3*f**2 + 6*f. Let j(b) = -6*n(b) + 5*y(b). What is w(j(l))? 171*l**4 Let t(u) = -380 + 380 + 41*u**2. Let r(q) = -3*q. Determine r(t(k)). -123*k**2 Let j(l) = -l. Let d(b) = 0*b - 4*b + 0*b - 9*b. Calculate j(d(r)). 13*r Let r be (-10)/(-2)*(-4)/5. Let n(s) = -39*s**2 + 33. Let w(v) = -5*v**2 + 4. Let m(t) = r*n(t) + 33*w(t). Let x(d) = -d. Determine m(x(i)). -9*i**2 Let j(p) = 7*p. Let l(c) be the second derivative of 5*c**4/4 - 3*c. Give j(l(f)). 105*f**2 Let r(a) = -16*a. Let b(g) = -916*g + 916*g - 2*g**2. Give b(r(v)). -512*v**2 Let s(n) be the second derivative of n**3/6 + 2*n. Let f(j) = 5*j**2 + 4*j**2 - 4*j**2 - 2*j**2. Give f(s(b)). 3*b**2 Let f(r) = -2*r**2 - 1. Let o(v) = -2*v. Calculate f(o(m)). -8*m**2 - 1 Let r(q) = 8*q**2. Let i(s) = 26*s**2 + 9. Determine r(i(l)). 5408*l**4 + 3744*l**2 + 648 Let u(y) be the second derivative of -2/3*y**3 + 0 + 0*y**2 + 6*y. Let l(t) = -2*t**2. Determine l(u(v)). -32*v**2 Let q(k) = -3*k. Let f(p) be the third derivative of -p**5/10 + 13*p**2. Calculate q(f(m)). 18*m**2 Let m(u) = -u**2 - 12982*u + 12982*u. Let t(i) = 9*i. Calculate m(t(k)). -81*k**2 Suppose 0 = 5*r - 10. Let z(j) = 2 - 2 - r*j. Let x(a) = -a**2. Give x(z(o)). -4*o**2 Let x(f) = -4*f**2 + 3*f + 3. Let c(z) = 15*z**2 - 11*z - 11. Let m(q) = 6*c(q) + 22*x(q). Suppose -9 - 1 = -5*o. Let r(u) = o*u - 5*u + u + 3*u. Give m(r(k)). 2*k**2 Let j(s) = 6*s**2. Let h(v) = 20*v - 10*v - 14*v. What is j(h(o))? 96*o**2 Let l(k) be the second derivative of k**4/12 + 8*k. Suppose 12 = -z + 3*s, 2*z + z - 24 = -3*s. Let a(x) = 2*x - z*x**2 - 2*x. Determine a(l(q)). -3*q**4 Let g(a) = -2*a. Let y(d) = 3*d. Let q(x) = -4*g(x) - 3*y(x). Let u(j) = 1 - 1 + 38*j**2 - 39*j**2. Calculate u(q(c)). -c**2 Let c(m) = -12*m. Let d(r) = 771*r**2. Calculate c(d(v)). -9252*v**2 Let y(u) = 9*u. Let t(h) = -4*h**2 - 9*h. Let m(i) be the first derivative of i**3/3 + i**2 + 8. Let r(f) = 18*m(f) + 4*t(f). Calculate y(r(c)). 18*c**2 Let z(a) = -4*a**2. Let b be 3/1 - (3 - 2). Suppose b*q + 0 - 6 = 0. Let x(l) = -5 - 2*l + 2 + q. Calculate x(z(p)). 8*p**2 Let l(c) = 3*c**2. Let d = -19 - -19. Let h(m) be the second derivative of m + d + 0*m**2 - 1/3*m**3. Determine h(l(y)). -6*y**2 Let h(z) be the second derivative of -z**3/6 + 3*z. Suppose 4*g - 14 + 2 = 0. Let q(m) = -m - m - g*m. Calculate h(q(r)). 5*r Let h = 18 - 14. Let x(n) = -3*n**2 - h*n**2 + 33*n - 33*n. Let c(u) = u**2. Calculate x(c(g)). -7*g**4 Let a(s) = -2*s - 5*s + 4*s**2 + 7*s. Let h(l) = 11*l**2 - 7. Let g(t) = -6*t**2 + 4. Let z(c) = 7*g(c) + 4*h(c). Calculate a(z(j)). 16*j**4 Let x(w) = 31*w. Let s(r) = 7*r - 3*r - 6*r. Give s(x(h)). -62*h Let w(r) = 4*r**2. Let c(s) = 91*s**2 - s. What is c(w(g))? 1456*g**4 - 4*g**2 Let w(d) = -d - 548. Let g(j) = 6*j**2. Determine g(w(c)). 6*c**2 + 6576*c + 1801824 Let f(d) = -304*d**2 + 1. Let o(u) = -10*u. What is f(o(i))? -30400*i**2 + 1 Let t(s) be the third derivative of s**4/24 - 11*s**2. Let y(d) = -18*d. What is y(t(m))? -18*m Let f(d) be the second derivative of d**4/6 + d. Let l(b) = 7*b. Let w(m) = -2*m. Let a(t) = l(t) + 3*w(t). What is a(f(k))? 2*k**2 Let a(z) = -7*z**2 + 6*z**2 - 2*z**2. Let t(h) be the third derivative of 0*h**4 + 0*h**3 + 0 - 1/30*h**5 + 0*h - 2*h**2. Calculate t(a(q)). -18*q**4 Let g(s) = 3*s. Suppose 5*a + 12 = 9*a. Suppose -5*m = -a*u + 9, -4*m + 12 = -6*m + 4*u. Let l(i) = 1 + m - 2*i - 1. What is l(g(n))? -6*n Let c(l) = l**2. Let y be 3/(-3) + 3 + 0. Let h(v) = -20*v - v**y + 20*v. Give h(c(p)). -p**4 Let v(l) = 9*l. Let h(p) = -19*p + 4*p + 10*p + 4*p. Calculate v(h(c)). -9*c Suppose -2*v + m + 8 = 6*m, v - 4 = -5*m. Let j(k) = -v*k + k + k. Let f(i) = 7*i - i - 3*i. Determine j(f(x)). -6*x Let d be (-32)/24*6/(-4). Let w(p) = -p**2 - 3*p**2 + p**d + 5*p**2. Let x(q) = 10*q. Give x(w(h)). 20*h**2 Let a = -22 + 33. Let f(w) = -2*w**2 - 11 + a. Let x(s) = s**2 - 4 + 4. Give f(x(j)). -2*j**4 Let u(c) = 11*c**2 - 2*c + 2*c. Let t(m) = -5*m - 6. Let j(l) = -4*l - 5. Let z(f) = 6*j(f) - 5*t(f). Calculate z(u(d)). 11*d**2 Let o(p) = 4*p. Let y(s) = 3*s**2 + 2. Let i(f) = f**2 + 1. Let m(q) = -8*i(q) + 3*y(q). Let c(d) be the first derivative of m(d). Give c(o(l)). 8*l Let s(q) = q**2. Let a be -6 - (1 - -2) - 1. Let w(c) = 3*c. Let i(b) = b. Let k(t) = a*i(t) + 4*w(t). Give k(s(f)). 2*f**2 Let f(m) = -2*m - 11. Let o(i) = -5*i. What is o(f(l))? 10*l + 55 Let c be 33/4 + (-5)/20. Suppose 3*j - c = j. Let u(t) = -2 - 2*t + j - 2. Let d(b) = b. Determine u(d(y)). -2*y Let w(i) = -i + 2. Let g be w(0). Let h(m) = -4*m**2 + g*m**2 + m**2. Let z(k) = 12 + 4*k - 12. Calculate h(z(s)). -16*s**2 Let i(n) = -10*n**2. Let q(c) = -16*c**2 + 5*c. Give q(i(d)). -1600*d**4 - 50*d**2 Let k(s) = 2*s. Let v(i) = 115*i**2. What is k(v(g))? 230*g**2 Let b(j) = j**2. Let i(y) = 1119*y**2. What is b(i(c))? 1252161*c**4 Let g(x) = 6*x**2. Let n(q) = 16*q**3 - q**2 + q. Let i be n(1). Let r(s) = -7 + i + s - 9. What is g(r(v))? 6*v**2 Let y(d) = -2*d**2. Let r = 201 - 136. Let o(w) = 0 + 111*w - 100*w + 0. Let n(t) = -120*t. Let p(a) = r*o(a) + 6*n(a). Calculate p(y(i)). 10*i**2 Let i(g) = -g + 166*g**2 - 162*g**2 + g + 0*g. Let r(y) = -6*y**2. Let b(k) = -k**2. Let j(x) = 5*b(x) - r(x). Give i(j(m)). 4*m**4 Let p(t) = 218*t - 2*t**2 - 218*t. Let b(d) = 2*d + 60. Calculate b(p(u)). -4*u**2 + 60 Let c(b) be the first derivative of b**2 - 19. Let f(y) = 17*y**2. Determine f(c(i)). 68*i**2 Let b(y) be the second derivative of y**3/6 + 3*y - 2. Let n(g) = -4*g**2 + 3*g. Let z(a) = 17*a**2 - 13*a. Let p(t) = -26*n(t) - 6*z(t). Calculate p(b(k)). 2*k**2 Let b(i) = -2*i. Let k(h) = 2*h. Let a(t) = 5*b(t) + 4*k(t). Let n(j) = 4*j. Calculate n(a(l)). -8*l Let r(x) = -1576*x**2. Let t(b) = 3*b. Calculate r(t(g)). -14184*g**2 Let v(u) = 2*u. Let t(c) = -1069*c. Calculate v(t(b)). -2138*b Let t(z) be the third derivative of -5*z**4/12 + 2*z**2. Let u(x) be the second derivative of -x**3/6 + 8*x. Determine u(t(q)). 10*q Let r(j) = -2*j. Let b(a) = -998*a**2 - 3. Determine b(r(t)). -3992*t**2 - 3 Let c(y) = -3*y**2. Let z(m) be the second derivative of -m**6/360 - m**4/4 - 6*m. Let w(f) be the third derivative of z(f). Calculate c(w(p)). -12*p**2 Let k(i) = -i. Let d = 24 - 21. Let y(t) be the third derivative of 1/8*t**4 + 0*t + 0*t**3 - d*t**2 + 0. Determine k(y(x)). -3*x Let v(r) = 14*r - 2 + 2. Let w(s) = -2*s**2 - 5*s. Let k(b) = -3*b**2 - 8*b. Let x(q) = -5*k(q) + 8*w(q). Calculate v(x(p)). -14*p**2 Let i(x) = -2*x. Let o(g) = 162*g - 6*g**2 - 162*g. Determine i(o(b)). 12*b**2 Let z(t) = 3393*t + 1. Let q(s) = -3*s**2. What is q(z(x))? -34537347*x**2 - 20358*x - 3 Let t(c) = 2*c. Let y be (-2)/14 + (-2)/(-14). Let a(b) = 2*b + 0*b + y*b. Give t(a(v)). 4*v Let w(x) = -x. Let j(l) = -3622*l**2. Calculate w(j(q)). 3622*q**2 Let a(b) = -60*b**2 - 50. Let c(x) = -5*x**2 - 4. Let d(v) = -2*a(v) + 25*c(v). Let l(z) = -15*z. What is d(l(p))? -1125*p**2 Let c(n) = -2*n**2. Let d(l) = -9*l - 464. What is d(c(v))? 18*v**2 - 464 Let i(v) = 17*v - 16*v - 1 + 1. Let t(j) = 55*j. Let m(d) = 8*d. Let g(x) = 20*m(x) - 3*t(x). Calculate i(g(k)). -5*k Let t(x) = 20*x**2. Let g(d) be the second derivative of -d**4/3 + 36*d. Give t(g(v)). 320*v**4 Let z(s) = 3*s**2 - 13. Let w(m) = -159*m. Give z(w(o)). 75843*o**2 - 13 Let c(d) = -d**3 + 2*d**2 + 3. Let w be c(3). Let o(z) = -2*z**2 + 3*z. Let y(q) = q**2 - q. Let g(s) = w*y(s) - 2*o(s). Let h(v) = 6*v. Determine g(h(x)). -72*x**2 Let w be (-27)/(-63) - 6/14. Let m(j) = 8*j + j**2 - 8*j + w*j**2. Let z(i) = -7*i. Determine m(z(p)). 49*p**2 Let i(y) be the third derivative of -y**6/360 - y**4/12 + 5*y**2. Let p(g) be the second derivative of i(g). Let f(j) = -4*j**2. Give p(f(c)). 8*c**2 Let n(l) = -2*l**2 - 2*l. Let j(d) = 2*d**2 + 3*d. Let z(g) = 2*j(g) + 3*n(g). Let i = 19 - 8. Let o(b) = -2*b**2 + 4*b**2 - i*b + 11*b. Give z(o(f)). -8*f**4 Let m(g) = -28*g + 3. Let j(o) = 10*o**2. What is m(j(v))? -280*v**2 + 3 Let a(n) = 0 + 0 - 5*n**2 + 2*n**2. Let z(l) be the second derivative of l**5/60 + l**2 - 2*l. Let g(f) be the first derivative of z(f). Determine g(a(i)). 9*i**4 Let t(u) = 9*u. Let v(w) = -15*w. Give t(v(l)). -135*l Let p(a) = 2*a + 0*a - 3*a. Let y(k) = 6*k. Let t(s
{ "pile_set_name": "DM Mathematics" }
9, 5*x = i - 22. Put -5, x, -27, -0.46 in decreasing order. -0.46, x, -5, -27 Let o(a) = -a**3 + 45*a**2 - 32*a - 532. Let l be o(44). Put -1/7, -102, l, -3/8 in ascending order. -102, l, -3/8, -1/7 Let r = 52.65 + -53.15. Let n = 1709/208 + -5/16. Let t = -31/4 + n. Sort r, 2, t, 5 in decreasing order. 5, 2, t, r Let a(x) = 10*x**2 - 51*x + 1. Let g be a(8). Sort g, -0.06, 2/9, 4 in descending order. g, 4, 2/9, -0.06 Let y = 7 + -8. Let w = -17.68 + 17.08. Sort 0, y, -3, w in ascending order. -3, y, w, 0 Let t = -3143.6 + 3143.7. Let p = -7 + 7.3. Let c = p + -0.4. Put t, -1, -4/5, c in descending order. t, c, -4/5, -1 Let s be (-64)/416 + 11979/39 + 2. Sort s, 4, -2. -2, 4, s Let f = -93238/3 + 31079. Sort 1/5, -0.77, -1.7, f, 2/11 in descending order. 1/5, 2/11, f, -0.77, -1.7 Let s = -11 - -6. Let o = -602 - -559.3. Let f = o - -42.7. Put s, -2/11, f in increasing order. s, -2/11, f Suppose -658 = d + 3*k, 5*d + 1313 = 3*d - 3*k. Let n = d + 654. Let h = -45/4 + 413/36. Sort 0.3, n, 2, h. n, h, 0.3, 2 Suppose 20*b - 117*b = 125*b. Let u be (8 - 0)*1/2. Put u, b, 5 in increasing order. b, u, 5 Let i = -18741 - -18650. Sort 3, 0, i, -3, -1. i, -3, -1, 0, 3 Let u(r) = r**3 + 13*r**2 + 13*r + 19. Let h be u(-12). Suppose h*d - 4*d = 15, -5*g = -4*d + 40. Put 2, g, 1/5 in ascending order. g, 1/5, 2 Let u = -3138 - -3124. Sort -0.1, u, -3/2, -1/9, 5 in decreasing order. 5, -0.1, -1/9, -3/2, u Let d(w) = 11*w + 188. Let m be d(14). Let n = 34 + -37. Put 1, m, -1, n in ascending order. n, -1, 1, m Let j be 72/407 - (-280)/(-1540). Sort j, -16, 3 in ascending order. -16, j, 3 Let r = 563 + -559. Suppose 388 - 148 = 2*o. Sort -1, r, o, -2 in descending order. o, r, -1, -2 Let i be (-4 - -1) + 0 + 3 + -107. Let l = 111 + i. Let p be -1 + (14/(-10))/(-1). Sort -0.2, l, p, -4. -4, -0.2, p, l Let i(j) = -j + 3. Let n be i(0). Let v = -87811/60 + 17567/12. Put n, v, 0 in decreasing order. n, v, 0 Suppose b + 3*r = 11, -2*b - 5*r + 35 = 3*b. Let a = 350 + -350.2. Put 0.3, a, b in ascending order. a, 0.3, b Suppose -2*i = 3*k - 24, 5*i - 47 = 5*k - 6*k. Suppose 4*x - 5*p - 21 = 0, 2*x - 19 + i = 2*p. Let g = -5 - -2. Sort g, x, 2 in decreasing order. x, 2, g Let y be (-2 - -6)*(-135)/(-180). Put 2, -3/2, 0.36, y in ascending order. -3/2, 0.36, 2, y Let p be 24/16*(-40)/(-15). Let z(l) = -3 - l - 2*l - 14*l + 0*l**2 + 3*l**2. Let i be z(6). Sort p, 2, i, 1 in descending order. p, i, 2, 1 Let d = -13 - -19. Suppose -9 = d*b + 3*b. Put b, 5, -14 in increasing order. -14, b, 5 Let k be -12*3/(-4) + -4 + 0. Let u(s) = -s**2 + 9*s - 2. Let l = -2 - -11. Let c be u(l). Sort c, k, -1, -4 in descending order. k, -1, c, -4 Let n be 522/(-24) + 18 + (-5)/4. Sort n, -2, -25, -3 in decreasing order. -2, -3, n, -25 Let x = 0.2 + -0.16. Let l = -2103 + 1239. Let y = 866 + l. Sort -1/5, x, y in decreasing order. y, x, -1/5 Suppose -35 = 256*v - 291*v. Suppose -5*u - 2*k + 0*k + 40 = 0, 4*u + 3*k = 39. Let j be -11*3/u*-2. Put v, j, -1/3 in descending order. j, v, -1/3 Let b = 8423 - 8423.13. Sort b, -3/5, -18, 0.1 in descending order. 0.1, b, -3/5, -18 Let p = -8 - -13. Let w(q) = 2*q**3 + 293*q**2 + 727*q + 1006. Let s be w(-144). Put s, p, 0, 11 in descending order. 11, p, 0, s Let y = 8 + -15. Let r be 3/4*y/189*-12. Let f be 14/8 + (12/(-1))/6. Sort r, f, -6. -6, f, r Let i(x) = -10*x + 117. Suppose -9*z + 18*z = 108. Let u be i(z). Put 4, 1, u, 5 in decreasing order. 5, 4, 1, u Let u be 256/528*18/(-4). Let y = u - -2. Put y, 5, 0.01, 1/4 in decreasing order. 5, 1/4, 0.01, y Let v(d) = 40*d - 88. Let m be v(8). Let i = m - 3946/17. Sort i, 5, 2, 0 in decreasing order. 5, 2, 0, i Let q = 23.88 + -25. Let a = -69.88 + q. Let n = a - -71.04. Put -0.3, n, 4 in increasing order. -0.3, n, 4 Suppose -4*i = -12*b + 10*b - 42, 3*b + 58 = 5*i. Put -2, b, 6, -34 in descending order. 6, -2, b, -34 Let y = 0.7 - 4.7. Let g = 177 - 174. Sort 1/2, g, y. y, 1/2, g Let p = -21.199 - -21.499. Sort -2, 34/37, p, 2/7, 0 in descending order. 34/37, p, 2/7, 0, -2 Let p = 98 + -86. Let d = 12 - p. Let w(n) = -n**2 + n + 3. Let a be w(3). Sort 0.1, a, -2/11, d in ascending order. a, -2/11, d, 0.1 Let h = -0.0919 - 41.2081. Let y = h + 41. Let n = 19 - 75/4. Sort 0.1, n, y in descending order. n, 0.1, y Suppose 0 = 73*a - 72*a - 5. Sort -1, 1, a, -6, 6 in descending order. 6, a, 1, -1, -6 Suppose 2*i = 9*i - 35. Let k(q) = -q**3 - 2*q**2 + 3*q - 5. Let o = 169 + -169. Let u be k(o). Put 2, i, u in ascending order. u, 2, i Suppose 0 = -n - 5*h - 109, -4*n + 5*h = -0*h + 336. Let c = -3916 + 3916.3. Put n, -2, -0.5, c in ascending order. n, -2, -0.5, c Let p be (-19 + 20)*(12/(-294))/((-4)/28). Sort -4/5, 4, p. -4/5, p, 4 Suppose 186 - 210 = -8*w. Suppose 5*c - 41 = -2*b, 0 = -c + 6*c - b - 47. Sort c, -7, w, -2 in decreasing order. c, w, -2, -7 Let x be 5*(3 + 2 - 4). Let c be (x/(-2))/(7 + 90/(-12)). Suppose -4*b + 2*l - 6 = -22, -c*l + 4 = b. Put -13, b, 2 in decreasing order. b, 2, -13 Let w = 86/5 - 17. Let m(d) = d**3 - 7*d**2 - 59*d + 356. Let f be m(9). Put -5, w, f in increasing order. f, -5, w Let m = 0.4 + -0.2. Let b = 979 + -926. Suppose 48 = -b*v + 41*v. Sort m, v, -1/2, -1/4 in decreasing order. m, -1/4, -1/2, v Suppose -5*g + 24 = 2*y, -3*y - 4687*g - 39 = -4692*g. Sort -12, 68, y in descending order. 68, y, -12 Let c = 5.2 - 5. Let g be 16/(-42)*(-678)/(-452). Put c, -4, g in descending order. c, g, -4 Let j = 127 - 238. Let p = 114 + j. Sort p, -1, 4, -3 in decreasing order. 4, p, -1, -3 Let u = 1 - -3. Let m = 135 + -139. Suppose 4 - 6 = 4*f - 2*a, 2*f + 16 = -4*a. Sort f, m, u in increasing order. m, f, u Let k = -153 - 99. Let u = -247 - k. Put -1, u, -54/11 in descending order. u, -1, -54/11 Suppose 2*z - 3 - 1 = 0. Suppose 166*v + 9*v = -11*v + 930. Let p be (8/(-6) + 2)*-3. Put v, p, z in descending order. v, z, p Suppose 15 = -38*j + 9*j - 14. Sort -4, -48, j, -11, 2 in decreasing order. 2, j, -4, -11, -48 Suppose -3*o = 2*r - 0*o - 47, -4 = r - 4*o. Let h be (20/12)/(3 + r/(-6)). Sort h, 4, 10, 0 in increasing order. 0, 4, h, 10 Suppose 0*o - 4*o + 16 = 0. Let m be 8/((-1)/(-5) + (-152)/860). Let z = 346 - m. Sort o, -1, -4, z in decreasing order. o, z, -1, -4 Let c be (-3)/2*(-13)/(3003/(-44)). Put c, -89, 2, 5 in ascending order. -89, c, 2, 5 Let f = -1207/42 + 200/7. Sort 0.5, -0.51, f. -0.51, f, 0.5 Let k be (2*-1)/(-2 + (-12)/(-7)). Suppose -k*g + 4*g = -9. Suppose -1 = 4*b + g*c, 3*b + 2*b = -c + 7. Put -2, -3, b in descending order. b, -2, -3 Let u = -2 - -7. Let l = -141954.1 - -141954. Sort 13/7, l, u in decreasing order. u, 13/7, l Suppose 45*z + 3*n = 40*z - 40, -45 = 5*z + 4*n. Put -6, -1, -3, z, 10 in descending order. 10, -1, -3, z, -6 Let n = -29.1 + 27.419. Let g = n - -0.081. Sort 5, g, 2 in decreasing order. 5, 2, g Let i = 12.6 - 10. Let f = i - 4.1. Let l = 3.5 + f. Put -2/21, -5, l in ascending order. -5, -2/21, l Let u = 178 - 286. Let z be u/(-504) + (-2)/(-7). Let x = -1.6 + 2. Put x, z, 3, -0.6 in ascending order. -0.6, x, z, 3 Let h = 242 + -229. Suppose 25*c - h*c - 36 = 0. Sort c, -14, 0 in descending order. c, 0, -14 Let u = 7937 - 7930. Let l = -3 - -6. Sort 6, u, l in decreasing order. u, 6, l Let b be (-56)/(-12)*(35/245)/(4/126). Sort 5, b, 30 in increasing order. 5, b, 30 Let i(v) = -2*v**3 - 15*v**2 - 2*v + 35. Let z be 2 - (-36)/(-21) - (-51)/(-7). Let y be i(z). Sort -4, 4, y, -5 in descending order. 4, y, -4, -5 Suppose 4*f = -2*w + 14, -f = w + 1 - 3. Suppose 2*j + 10 = 4*t, 5*t - 4*j = -7 + 27. Let g = 5 + -9. Sort 2, g, f, t. g, t, 2, f Suppose -2*c + 4*l = -8, 2*c + l + 7 = -0*l. Let a be 3/c*6/(-9)*1. Let h(y) = 14*y - 3. Let q be h(a). Put q, 3, -4 in decreasing order. q, 3, -4 Let g = -0.4508 - 0.0492. Let j = -6 + 0. Let c be 1/j*(3 - 2). Sort g, 5, c. g, c, 5 Let l be ((-22)/(-6))/((715/60)/(-11)). Let z = l - -458/143. Sort -9, z, -3 in descending order. z, -3, -9 Let i(o) = -o**2 - 9*o + 16. Let s be i(-11). Let h be (4 - 5)/(3/s). Let x = -47 - -50. Put x, 5, h in ascending order. h, x, 5 Let i = -426 - -118. Let k = -306 - i. Put k, 9, 1, 0 in descending order. 9, k, 1, 0 Suppose -2*x + 2*w - 18 = x, 5*w - 35 = 5*x. Let b = 29 + -24. Suppose -b = -19*c + 14*c. Sort c, x, 15 in decreasing order. 15, c, x Suppose 4
{ "pile_set_name": "DM Mathematics" }
2*h(y) + s(y). Calculate p(j). 5 Let p be (-3)/7*(-6 + -1). Let w be (-2 - -3) + (2 - p). Let d(x) be the third derivative of -x**4/24 + x**3 - x**2. What is d(w)? 6 Let i(r) be the third derivative of 0 - 1/120*r**6 - 4/3*r**3 + 0*r + 1/24*r**4 - 6*r**2 + 7/60*r**5. Calculate i(7). -1 Let k(v) = -16*v - 52. Let i(u) = 9*u + 30. Let w(a) = 7*i(a) + 4*k(a). What is w(6)? -4 Suppose -70*h = -81*h + 77. Let m(b) = -b**3 + 8*b**2 - 5*b - 7. Calculate m(h). 7 Let d(g) = -g**3 + 4*g**2 + 8*g - 7. Let f = -93 + 98. Determine d(f). 8 Let s(l) = -2*l - 13. Let m be 5 - (-60)/(-9)*(-36)/(-16). What is s(m)? 7 Let h be 6/(-16) - 747/(-72). Let v(z) = -2*z + 2. Determine v(h). -18 Let v(b) = -2*b + 16. Let a(r) = -3*r + 21. Let k(z) = -3*a(z) + 4*v(z). What is k(-3)? -2 Suppose 86 = 2*q - 78. Let u = q - 88. Let z(c) = c**3 + 5*c**2 - 10*c - 7. Calculate z(u). 17 Let n(i) = i**2 - i - 4. Suppose -5*s = 3*h - 43, 5*h - 23 = -s - 10. Suppose 5*b = -35 + 10. Let p = b + s. Give n(p). 2 Let r be 4 - (-3 - (5 + 3)). Let f(l) = r - 40 + 4 + 13 - l**2 - 7*l. What is f(-6)? -2 Let q(s) = -s**2 - 4*s + 3. Let c(d) = -7*d + 23. Let f(x) = x - 1. Let o(h) = -c(h) - 4*f(h). Let l be o(7). Calculate q(l). -9 Let m(v) = -13*v - 1. Suppose -2*d + 262 = -u, 0 = 5*d + 2*u - 0*u - 655. Suppose -130 + d = f. Determine m(f). -14 Suppose -4*y - 2*j - 2 = 0, -2*y - 5*j + 19 = -8*j. Let l(a) = -139 - y*a + 136 + a**2 - a + a. What is l(5)? 12 Let u(q) = 3*q - 2*q + 0 - 1. Suppose 0*a = 8*a - 32. Let k(b) = b**2 - 5*b. Let x be k(a). Determine u(x). -5 Suppose -14 = -5*r - 3*v, -4*r - 6*v + 14 = -5*v. Let k(j) = -j + 1. Calculate k(r). -3 Suppose 11*c + 10*c + 21 = 0. Let x(n) = 12*n**3 - n**2 - n - 1. Calculate x(c). -13 Let u(d) = -d + 5. Let k be u(5). Let v(p) = -p**2 - 2*p - 1. Let b(g) = -2*g**2 - 5*g + 11. Let t(z) = -b(z) + 3*v(z). Calculate t(k). -14 Let j(x) be the third derivative of -x**8/3360 + x**6/720 + x**5/5 + 14*x**2. Let g(p) be the third derivative of j(p). What is g(-1)? -5 Let r(d) be the first derivative of -2*d**2 - 13*d - 370. Give r(-6). 11 Let j(o) = -o**3 + o**2 - 3*o - 2*o - 1 + 4*o**2. Suppose -6*u - 284 = -77*u. Calculate j(u). -5 Let s = 14 + 12. Let t(q) = q - s + 6 + 13. Let f(i) = i**2 + 8*i. Let d be f(-8). Give t(d). -7 Let u = 0 + -21. Let j = u - -19. Let f(a) = -3*a**3 + 4*a**2 + 3*a + 2 + 4 - 3 + 4*a**3. Determine f(j). 5 Let o(c) be the second derivative of c**4/12 + 5*c**3/6 + c**2 - 4*c + 33. Suppose 0*q - 30 = 5*q. Give o(q). 8 Suppose 0 = 10*k - 21*k + 22. Let j(p) = 126*p - 4*p**k + 5 - 125*p - 4. Determine j(-1). -4 Let h(u) = -u**2 + 18*u + 3. Suppose -4*i + 2*i + 31 = -5*g, i - 21 = -3*g. Let l be h(i). Let z(m) = -7*m + 3. What is z(l)? -18 Suppose -12*k - 3 = -39. Let j(p) be the first derivative of 1/2*p**2 - k + 2*p. Calculate j(3). 5 Let b = -62 - -68. Let h(g) = -13 - b + 33 - 7 + g. Determine h(-6). 1 Let r be 9/(36/8) - 0. Suppose 0 = -5*w + j - 9, w + 6 = -2*j - r*j. Let z(x) = -x - 1. Calculate z(w). 1 Let n(h) = 4*h - 15. Let p(y) = 1. Let m(t) = n(t) - 2*p(t). Determine m(0). -17 Let u = -25 + 30. Let y(w) = -5*w**2 + w**2 - w**2 + u*w + w**3 - 2*w - 4. Determine y(4). -8 Suppose 4*r - 323 + 295 = 0. Let n(g) = -g**3 + 8*g**2 - 9*g - 2. Calculate n(r). -16 Suppose 13 = -3*z + 1. Let q be (-2)/(4*z/24). Let r(i) = -i**2 - i + 1. Let v(d) = -2*d**2 - 2*d + 13. Let y(m) = q*r(m) - v(m). What is y(0)? -10 Let s(p) = p + 4. Suppose -4*w - 7 + 23 = 0. Suppose -3 = w*j + 5*z + 2, 5*j = -2*z + 15. Suppose -j*a + 16 - 43 = -x, -2*x - 12 = a. Determine s(a). -2 Let x(q) be the second derivative of -q**5/20 - q**4/4 + 4*q**3/3 - 3*q**2/2 + 246*q. What is x(-5)? 7 Suppose 29*k = 12 + 46. Let v(m) be the first derivative of 0*m**k + m - 1/3*m**3 + 8. Calculate v(2). -3 Suppose 40*c = 44*c - 8. Let q(t) = -5*t + t**3 + 1 + t**2 + t**2 + 2*t**c. Calculate q(-5). 1 Let f(d) = -d**3 - 9*d**2 + 11*d + 12. Let q be (-10)/(-15)*(-17 - -2). Let u be f(q). Let w(z) = 2*z + 0*z - u*z - z - 2. Calculate w(-6). 4 Let z(l) = l - 1. Let v(u) = u**2 + 7*u + 13. Let x be v(-14). Let i = 117 - x. Calculate z(i). 5 Suppose -8*v = -5*v + 12. Let x(i) = i + 4. Let g be x(v). Let f = 5 + g. Let k(n) = n**3 - 6*n**2 + 7*n - 7. What is k(f)? 3 Let j(z) be the first derivative of z**5/120 + z**4/8 + z**3/3 + 6. Let v(y) be the third derivative of j(y). Determine v(3). 6 Let y = 1 + 0. Let o(k) = -24*k - 18. Let f(r) = 36*r + 25. Let c(t) = -5*f(t) - 7*o(t). Determine c(y). -11 Let o(b) = b**2 - 13*b - 4. Let z be o(13). Let d(n) = n**3 + 5*n**2 + 6*n + 4. Calculate d(z). -4 Let x(t) = -3 + 20*t - 48*t - 3*t**2 + 15*t + 4 + 14*t. Determine x(0). 1 Let g(y) = 2*y**3 - 6*y**2 + 6*y - 6. Let z(m) = -m**3 + m**2 + m. Let o(b) = g(b) + z(b). Give o(4). 6 Let z(m) be the third derivative of -m**6/120 + 11*m**5/60 + m**4/12 - 11*m**3/6 - 331*m**2 + m. What is z(11)? 11 Let u(p) be the third derivative of -p**4/24 - 11*p**3/6 + 9*p**2 - 8*p. Give u(-11). 0 Suppose 251 = -59*i - 103. Let n(v) = -v**2 + 32. Calculate n(i). -4 Suppose 0*v - 64 = 32*v. Let x(f) = 2*f**3 + 4*f**2 + 5*f + 3. Give x(v). -7 Let p(n) = n - 1. Let m(s) = 18 + 8*s - 6 - 20*s - 10. Let l(j) = -m(j) - 10*p(j). What is l(-6)? -4 Let b(i) = i**2 - 2*i**2 - 7 - 84*i + 90*i. What is b(6)? -7 Let a = 1729 + -1735. Let w(n) = -2*n**3 - 10*n**2 + 13*n + 7. Determine w(a). 1 Let p(s) = 4*s + 21. Let q be p(-5). Let u(i) = -i - 1. Let n(y) = 6*y + 9. Let h(v) = q*n(v) + 5*u(v). Determine h(-3). 1 Let j(p) = 2*p + 2. Let y be j(-2). Let h be y + (0 - 1) + 2. Let t(r) = 47 - 5*r**3 + 88 - 135. Calculate t(h). 5 Let y(g) = -4*g**2 - 15 + 124*g + 3*g**2 + 4 - 111*g. Determine y(12). 1 Let z be 3 - -1 - 0 - 1. Let h(t) = 5 + 3 - 7*t**2 + t**3 - z*t + 8*t. Let c(w) = w**2 - 9*w - 46. Let p be c(13). What is h(p)? 2 Let q(v) be the first derivative of v**6/360 + v**5/40 - v**4/8 + 3*v**3 + 9. Let y(k) be the third derivative of q(k). Give y(-3). -3 Let g(l) = 3*l + 5. Let a(m) = -115*m + 336*m - 110*m - 117*m - 10. Let u be ((-33)/9)/((-2)/6). Let x(t) = u*g(t) + 6*a(t). Determine x(-5). 10 Let r = 303 + -300. Let g(t) be the first derivative of -t**4/4 + 4*t**3/3 + t**2/2 + 1. Give g(r). 12 Let g(n) be the second derivative of -n**3/3 + 5*n**2/2 + 2*n. Let w = 12 - 8. Suppose -w*h - h + 15 = 0, 5*h = -2*r + 23. What is g(r)? -3 Let h(w) = 2*w**2 - 2*w - 83. Let r be h(7). Let v(d) = 2*d + 2. Let i(k) = -k - 1. Let x(n) = -5*i(n) - 2*v(n). What is x(r)? 2 Let o(z) be the first derivative of -z**5/120 + 5*z**3 - 11. Let k(g) be the third derivative of o(g). What is k(-6)? 6 Let w(j) = -j**2 + 2*j. Let y = 2 + 1. Suppose -3*o = -10*o + 91. Suppose 5*h + 0 = -3*u + o, -u + 7 = y*h. Calculate w(h). 0 Let p(m) be the third derivative of m**5/60 - m**4/12 + m**3/6 + m**2 - 45. Calculate p(2). 1 Let r(x) = 4*x. Suppose 51 = 5*k - 2*c + 1, 0 = 4*k - c - 37. Give r(k). 32 Let o = 419 - 428. Let u(n) = n**2 + 10*n + 5. Calculate u(o). -4 Let l(i) be the second derivative of i**5/20 + i**4/2 + i**3/2 + i. Let c = -358 + 353. Determine l(c). 10 Let u(p) = p - 1. Suppose -2*f = -1 - 23. Let b = f - 8. Suppose -2*k - 3 = b*z + 1, -3*z - 6 = 3*k. What is u(z)? -1 Let w(g) = g**2 - 5*g - 1. Suppose 3*s = 8 - 14. Let i(j) be the first derivative of -j**2 + 2*j - 2. Let o be i(s). What is w(o)? 5 Let i(r) = 3*r**2 - 24*r - 3. Let j be i(8). Let l(y) be the third derivative of y**4/24 + y**3/3 + y**2. Calculate l(j). -1 Let z(y) = -2*y**3 + 17*y**2 - 16*y - 3. Let m(n) = n**3 - 9*n**2 + 9*n + 2. Let k(w) = -11*m(w) - 6*z(w). Determine k(4). 0 Let y(m) be the first derivative of -3*m + 8 - 1/2*m**2. Determine y(3). -6 Let d(h) = -h**2 + 2*h - 7 - 2*h**2 + 5*h**2 - h**2. Let t be d(-3). Let i(q) = -q**3 - 4*q**2 - 5. Give i(t). -5 Let t(c) = -c + 3. Let u(w) = -w**3 - 7*w**2 - 11*w + 5. Suppose i + 40 = -7*i. Let o be u(i). Calculate t(o). -7 Let n(a) = -a**3 + 5*a**2 + 15*a - 1. Let b = 567 + -560. Give n(b). 6 Let w(o) = 32*o**2 + 33*o - 1 - 21*o - 20*o + o**3 - 2 - 26*o**2. Suppose 0*t - 40 = 5*t + a, a + 19 = -2*t. Give w(t). 4 Suppose -29*l = -35*l - 6. Let n(v) = 4*v + 3. Determine n(l). -1 Let y(f) = 2*f - 4. Let n be y(3). Let x(m) = 2 + m**3 - 4*m + 7*m**2 + 4*m - 6*m**n. Let a be (0 - 0)/(1/(-1)). Calculate x(a).
{ "pile_set_name": "DM Mathematics" }
3, 1, 479, -2. -904, -2, 1, 3, 5, 479 Sort 17, 6, -1/3, 0.4, 10.9 in ascending order. -1/3, 0.4, 6, 10.9, 17 Put 51, 888, 6/79 in descending order. 888, 51, 6/79 Sort -6, 4, -2, 73, -655. -655, -6, -2, 4, 73 Put 69, 2742, 4 in decreasing order. 2742, 69, 4 Put 18, -19969, -4, -3 in increasing order. -19969, -4, -3, 18 Put -5, -17, 0, 7, 524, 3 in decreasing order. 524, 7, 3, 0, -5, -17 Sort -2, 0.14, 22/7, 1366/9 in ascending order. -2, 0.14, 22/7, 1366/9 Put 3, -1386, -16, -36, -30 in descending order. 3, -16, -30, -36, -1386 Put -5, 44, 14294, 2 in increasing order. -5, 2, 44, 14294 Sort 3, 1261, 33, -2, 5, -50 in increasing order. -50, -2, 3, 5, 33, 1261 Sort -241, -669, -0.5, -0.2, 22 in ascending order. -669, -241, -0.5, -0.2, 22 Sort -7, -5, 5, -5736, -1, -1/4. -5736, -7, -5, -1, -1/4, 5 Put 2, -52, -3373 in decreasing order. 2, -52, -3373 Sort 5, -2286, -489, 4, -1 in ascending order. -2286, -489, -1, 4, 5 Sort -3, 0.8, -4814882, 2 in descending order. 2, 0.8, -3, -4814882 Sort 10363, 21, 0.3, -3 in increasing order. -3, 0.3, 21, 10363 Sort -16, -604852, -2/7, -1/4 in ascending order. -604852, -16, -2/7, -1/4 Put 661, 3, -8, -4 in decreasing order. 661, 3, -4, -8 Put 2/5, 0.2, -2, 3, -73214/3 in descending order. 3, 2/5, 0.2, -2, -73214/3 Put 0.5, 49/11, -2/7, 412.4 in increasing order. -2/7, 0.5, 49/11, 412.4 Sort 39, 6/5, 9, -1815, 0.5 in descending order. 39, 9, 6/5, 0.5, -1815 Put -0.5, 5, 34, 0.73472 in ascending order. -0.5, 0.73472, 5, 34 Sort 9580634, -4, 5 in decreasing order. 9580634, 5, -4 Sort 1, 55, 4, -6, -106, 0, 7. -106, -6, 0, 1, 4, 7, 55 Sort -3/8, 2/20067, 2/9 in decreasing order. 2/9, 2/20067, -3/8 Sort -308697, -55, 3 in descending order. 3, -55, -308697 Sort 3, 5, 23, 0, 4, 41155. 0, 3, 4, 5, 23, 41155 Sort 12, -21, 3, 2690, -1, 4 in increasing order. -21, -1, 3, 4, 12, 2690 Sort -2143, -1, -0.2, 5, 2/3, -4. -2143, -4, -1, -0.2, 2/3, 5 Put 349978, 0, -1, -10, -3, 5 in descending order. 349978, 5, 0, -1, -3, -10 Sort 962383, -1.2, -1 in decreasing order. 962383, -1, -1.2 Sort 1, 4, 32, 0.5, 1122, 12/13. 0.5, 12/13, 1, 4, 32, 1122 Sort -1, -5, 1, 9885, -321 in descending order. 9885, 1, -1, -5, -321 Sort -0.4, -4, 3, -4413, -5 in decreasing order. 3, -0.4, -4, -5, -4413 Put -2/3, -117, -0.5, -5, 90.8 in decreasing order. 90.8, -0.5, -2/3, -5, -117 Put -4, -3, 2, -103782, -7, 0, -1 in descending order. 2, 0, -1, -3, -4, -7, -103782 Put 1/19, 0.5, -8, -6, 10.2, 3 in increasing order. -8, -6, 1/19, 0.5, 3, 10.2 Put 5, 113928, 0, 2, -1 in increasing order. -1, 0, 2, 5, 113928 Sort 57, 6, 1, -3, -918 in decreasing order. 57, 6, 1, -3, -918 Put 2, -2088607, -1 in decreasing order. 2, -1, -2088607 Sort -6, -2, -3, 887, 1, 4, -1 in decreasing order. 887, 4, 1, -1, -2, -3, -6 Sort 148, -18, -2/5, -32.1 in descending order. 148, -2/5, -18, -32.1 Put -2/3927, -2, 19/9, -0.9, -5 in descending order. 19/9, -2/3927, -0.9, -2, -5 Put -4, -14, 5, -118, 2 in descending order. 5, 2, -4, -14, -118 Sort 3, 15, 118, 0, -16, -2. -16, -2, 0, 3, 15, 118 Sort -1, 1, -5, 2, 189, -12 in ascending order. -12, -5, -1, 1, 2, 189 Put -56, -383, -2, 312 in ascending order. -383, -56, -2, 312 Sort -4, -1774, 51. -1774, -4, 51 Sort 4, -1629166, -4. -1629166, -4, 4 Sort -2, 44, 5, 47, 46. -2, 5, 44, 46, 47 Sort -14, -13449, 24 in increasing order. -13449, -14, 24 Put -3, 2999, 0.2, -1, -14/9 in decreasing order. 2999, 0.2, -1, -14/9, -3 Put 23, 1460, -9, -87, 5, -4 in decreasing order. 1460, 23, 5, -4, -9, -87 Sort 117, 0, -73, -3, 18, -1, -4 in decreasing order. 117, 18, 0, -1, -3, -4, -73 Sort 8/219, 4/35, -7/5 in descending order. 4/35, 8/219, -7/5 Sort 21, -4, 3, 4, -85, -3 in decreasing order. 21, 4, 3, -3, -4, -85 Put 4/9389, -115, 1/3 in ascending order. -115, 4/9389, 1/3 Put -135, -13282, -3, 18, 3 in descending order. 18, 3, -3, -135, -13282 Sort 3/8, 889.4922, -2/13, -0.1 in increasing order. -2/13, -0.1, 3/8, 889.4922 Sort -2/7, -1.1, 6.3, -0.1, 2, -0.2 in descending order. 6.3, 2, -0.1, -0.2, -2/7, -1.1 Sort 3, 1812278, 1 in decreasing order. 1812278, 3, 1 Sort -101, 41576, 0 in increasing order. -101, 0, 41576 Put 2, -3358, 1490, 5, 4 in descending order. 1490, 5, 4, 2, -3358 Put -60, 4410, 9, 2 in decreasing order. 4410, 9, 2, -60 Put -3, -1, 0, 222, -135 in decreasing order. 222, 0, -1, -3, -135 Put -1513, 10554, -5 in decreasing order. 10554, -5, -1513 Sort -3, 5, 2, -4, 4, 201, -6 in decreasing order. 201, 5, 4, 2, -3, -4, -6 Put -1335, 94, 295 in decreasing order. 295, 94, -1335 Sort -4/7, 1/2, -5, 34/55, -3. -5, -3, -4/7, 1/2, 34/55 Put 17.966, 1, 2/11, 4, -8/19 in decreasing order. 17.966, 4, 1, 2/11, -8/19 Put -27, 175, -26, 0, 6, 2, -4 in descending order. 175, 6, 2, 0, -4, -26, -27 Put -0.3, 0.8, -3/35, -0.02, -4/5 in descending order. 0.8, -0.02, -3/35, -0.3, -4/5 Sort -9/4, -8, 1848, -2, 2/9, 0 in increasing order. -8, -9/4, -2, 0, 2/9, 1848 Put 19, -0.3, -1/182, -1, -0.175 in increasing order. -1, -0.3, -0.175, -1/182, 19 Sort -1229.7, 1, -3, -5, 2, 4/3, 36 in decreasing order. 36, 2, 4/3, 1, -3, -5, -1229.7 Sort 6515165, 9.1, 3/7 in ascending order. 3/7, 9.1, 6515165 Put 11304, -3, 0, -1461 in decreasing order. 11304, 0, -3, -1461 Put -4, 0, -5, 8, 1, 72, 89 in decreasing order. 89, 72, 8, 1, 0, -4, -5 Put -1/10, 2301312, -5 in descending order. 2301312, -1/10, -5 Sort 6, -1/4, -1, 0, 5, 5.57 in decreasing order. 6, 5.57, 5, 0, -1/4, -1 Sort -1, -157338, 22, -7. -157338, -7, -1, 22 Sort -2, -0.3, -91760168. -91760168, -2, -0.3 Put 12, -6, 0, -4, 7901 in descending order. 7901, 12, 0, -4, -6 Sort 2/3, -0.5, 288/7, -8563, -2 in descending order. 288/7, 2/3, -0.5, -2, -8563 Sort -3, 0, -9/7, -2/7, 0.1, 52343 in decreasing order. 52343, 0.1, 0, -2/7, -9/7, -3 Sort 2, -24, 20, 381, 4, 1 in ascending order. -24, 1, 2, 4, 20, 381 Put 1230.9, 1/45, 1/6 in decreasing order. 1230.9, 1/6, 1/45 Sort -2, -3, -1, 31, 2, 0, 9 in increasing order. -3, -2, -1, 0, 2, 9, 31 Put 7, 62, -12666 in descending order. 62, 7, -12666 Sort 2, -3, -325821, 3, -1 in decreasing order. 3, 2, -1, -3, -325821 Sort -11, 0, -4, -6, -472, -1 in ascending order. -472, -11, -6, -4, -1, 0 Sort -7, -0.3, -10, -1/5, -13, -2 in descending order. -1/5, -0.3, -2, -7, -10, -13 Sort 6, -64, 5, 4, -34, 18. -64, -34, 4, 5, 6, 18 Put -3, -2/7, 0.4, -217, 90653 in descending order. 90653, 0.4, -2/7, -3, -217 Put 2, -5, 54, -2, -7, -4 in ascending order. -7, -5, -4, -2, 2, 54 Sort 16, -1125, 1/3, -0.4 in descending order. 16, 1/3, -0.4, -1125 Put 73, -4, -343, 1 in increasing order. -343, -4, 1, 73 Sort 45, 9424, 5, -5 in increasing order. -5, 5, 45, 9424 Sort 84/10141, -0.5, 4/11 in descending order. 4/11, 84/10141, -0.5 Put 5, -4, -1211, 321 in descending order. 321, 5, -4, -1211 Sort -0.2, 4, 2, -19.7, 11527, 3. -19.7, -0.2, 2, 3, 4, 11527 Sort 789, -174, -1, -3 in decreasing order. 789, -1, -3, -174 Sort 1, -1885641, 0.2, -0.4 in decreasing order. 1, 0.2, -0.4, -1885641 Put 3, 30706, 5, -4, 1, 6, 4 in descending order. 30706, 6, 5, 4, 3, 1, -4 Put -3, 4, 2, -9, -38, 4060 in descending order. 4060, 4, 2, -3, -9, -38 Put 3, -8, 8, 10, 2 in increasing order. -8, 2, 3, 8, 10 Sort 62, -5, -4, 2, -2, -6107 in descending order. 62, 2, -2, -4, -5, -6107 Sort -9, 24, -32027, -2 in decreasing order. 24, -2, -9, -32027 Put 2, -5, -1/2816, -1, 3/5, 3 in decreasing order. 3, 2, 3/5, -1/2816, -1, -5 Sort -4871, -0.7, 10.15 in ascending order. -4871, -0.7, 10.15 Put 2, -2, -1, -7, 658, -13 in increasing order. -13, -7, -2, -1, 2, 658 Sort -1496, -7, 6, 0, 5, 4 in increasing order. -1496, -7, 0, 4, 5, 6 Sort 1014/19, 0.1, -2/15, -1/6. -1/6, -2/15, 0.1, 1014/19 Sort 0, 32, 5, -400, 3, 1, -4. -400, -4, 0, 1, 3, 5, 32 Sort -403, -0.1, 9, 13130. -403, -0.1, 9, 13130 Sort -0.5, -0.18, -2337, 16. -2337, -0.5, -0.18, 16 Sort 1, 0, -1, 5, -410, -53, 79 in descending order. 79, 5, 1, 0, -1, -53, -410 Sort 3, -20, 0.2, -496675. -496675, -20, 0.2, 3 Put -2, -3, 0.19701, -0.4, 22 in increasing order. -3, -2, -0.4, 0.19701, 22 Sort -4, -21, 5, -1200, -17, -2, 4 in increasing order. -1200, -21, -17, -4, -2, 4, 5 Sort 33, 74, -18114 in decreasing order. 74, 33, -18114 Sort 18, 5, -671525 in descending order. 18, 5, -671525 Sort 10, -5, -1, 28, 3, 7 in decreasing order. 28, 10, 7, 3, -1, -5 Put 4,
{ "pile_set_name": "DM Mathematics" }
29 - o. What is x rounded to the nearest 100000? -800000 Let x = 3310 - 1600. Round x to the nearest one thousand. 2000 Let b = 97.594 - 0.094. Let a = 119 - b. Round a to 0 decimal places. 22 Let k = 8 - 6. Let h(g) = -k*g + 3*g - 4 - g**2 - 5*g + 19825*g**3. Let b be h(-7). What is b rounded to the nearest one million? -7000000 Let o be (-1812638)/(-57) + -3*2/9. What is o rounded to the nearest one thousand? 32000 Suppose 0 = 2*r + 284 + 1396. Round r to the nearest 100. -800 Let w = 22988 + -22959.022. Let b = 29 - w. Let y = -0.0169 + b. Round y to three dps. 0.005 Suppose 13*b - 21295876 - 51891069 = 0. Let f = -2 - -5. Suppose -640235 - b = -f*a. What is a rounded to the nearest 100000? 2100000 Suppose 3*t - 48 = -d + 517, -2*t + 375 = -d. Let c = -442 - t. Round c to the nearest one hundred. -600 Let z be (-3 - (-101595901)/(-22)) + (-3)/2. What is z rounded to the nearest one hundred thousand? -4600000 Let h = 4319.97379 - 4320. Round h to four decimal places. -0.0262 Let n = -54706.895 + 54706.38499966. Let u = 0.51 + n. What is u rounded to seven dps? -0.0000003 Let j = 223.24 + 2.76. Let t = -225.9999901 + j. What is t rounded to six dps? 0.00001 Let t = 288 + -928. Round t to the nearest 100. -600 Let g = 25 - 112. Let x = g + 99.4. Let y = x - 20.7. What is y rounded to the nearest integer? -8 Let q be 2175/6*246 + 1. Suppose 0 = -3*r + 535726 - q. Suppose 5*v + 4701150 + r = 0. What is v rounded to the nearest one hundred thousand? -1000000 Let s = -879.0000758 + 879. Round s to 5 dps. -0.00008 Let i be 4 + 28/(-4) - 11. Let d be 1/2*(6 + i). What is d rounded to 0 decimal places? -4 Let l be 28/(-238) - (-896922)/17. What is l rounded to the nearest 1000? 53000 Let a = 0.211 - 5.631. Let z = -0.1 + -0.22. Let f = a - z. Round f to the nearest integer. -5 Suppose 0 = -6*t + 2*t + 8. Suppose 48 = t*i - i. What is i rounded to the nearest ten? 50 Let p = -90.137 - -129.1375. Let y = p + -39. What is y rounded to 4 dps? 0.0005 Let o = -168.3965 + 167.6. Let h = o - -0.92. Let n = 0.13 - h. What is n rounded to 3 decimal places? 0.007 Let g(a) = -1601*a**2 - 6*a - 5. Let f(n) = n**2 + 5*n - 5. Let u be f(3). Suppose 0 = -3*w + 4 - u. Let c be g(w). What is c rounded to the nearest 10000? -40000 Let c = -56.051 + 52.65136. Let m = c - -3.4. Round m to 4 decimal places. 0.0004 Let r be (-100)/((-3382)/(-676) - 5). Round r to the nearest ten thousand. -30000 Suppose 3*q + 85 - 253 = 0. Let d = q - 16. Let i = -91 + d. What is i rounded to the nearest ten? -50 Suppose -5880 = 11*u + 5472. What is u rounded to the nearest one hundred? -1000 Let i = -2.031 - 0.969. Let l = 3.77 - 6.99. Let o = l - i. Round o to 1 decimal place. -0.2 Let y = 1.75 + -1.7500412. Round y to five decimal places. -0.00004 Let q = -0.0309 - 0.4401. Round q to two dps. -0.47 Let s(a) = -28032757*a**2 - 2*a + 1. Let c be s(1). Let m be (-2 + 3)/2*c. Let b = m - -8016379. Round b to the nearest 1000000. -6000000 Let g = 100.29 - 102. Let v = g + 1.6886. Round v to three decimal places. -0.021 Suppose 4*g = -5*j + 239199980, 3*g - 5*j + 97407268 = 276807288. Round g to the nearest one million. 60000000 Let i = 143.7 - 139.453. Round i to 0 dps. 4 Let q = 4.5900535 - 2.290058. Let f = -10 + 12.3. Let l = f - q. Round l to six decimal places. 0.000005 Let k = -55 - 1. Let x = -100396396.9999884 - -100396453. Let w = x + k. Round w to six dps. 0.000012 Let z = -160 + 110. Let y = z - -60.7. Let n = 1.1 + y. Round n to the nearest integer. 12 Suppose 6*d - 27 = 3. Suppose d*q = -4*i - 37000008, -24443079 = 5*q - 4*i + 12556913. What is q rounded to the nearest one million? -7000000 Let f = -479 + 479.237. Let u = f + 0.033. Let z = -0.270052 + u. Round z to 5 dps. -0.00005 Let p = -138.1944 - -138. What is p rounded to 2 decimal places? -0.19 Let y = -0.15 - -50.15. Let l = y - 49.9999961. Round l to six dps. 0.000004 Let f(g) = g**2 - g. Let l be f(3). Let r be (l - 4) + (-311144)/(-2). Let j = r - 37574. Round j to the nearest ten thousand. 120000 Let g = 7.44 + -0.14. Let p = 48.7 + g. Let t = 56.00089 - p. Round t to 4 decimal places. 0.0009 Suppose -g = 5*m - 229999, 2 = 4*g - 6*g. Round m to the nearest 1000000. 0 Suppose 10 + 10 = 5*f. Let k(z) = -z**3 + 4*z**2 + 3. Let v be k(f). Let r be 3 - v - -2 - -5499998. Round r to the nearest one million. 6000000 Suppose 2*o + 4 = 0, -2*d + 787 = -4*o - 173. Let u be 1 - d/(-2)*5042 - -3. What is u rounded to the nearest one million? 1000000 Let o = -910 + -541. Round o to the nearest one hundred. -1500 Let t be (-20)/(-25) - (-4)/(-5). Let w = 5 - 0. Suppose -6*s + 3*s = l - 135, s + w = t. What is l rounded to the nearest 100? 200 Let l = -15 + 25. Suppose 0 = l*o - o - 963000. Round o to the nearest 10000. 110000 Let n = -2128 + 1581. Round n to the nearest one hundred. -500 Let l = 0.965 - 1. Let o = -7.6 - -8.135. Let n = o - l. What is n rounded to one dp? 0.6 Suppose -2*z - 3*h - 5 + 21 = 0, 23 = 3*z + 4*h. Suppose 3*q + z*j = 107985, q = 4*q + 2*j - 107994. What is q rounded to the nearest 10000? 40000 Let p = -1278.749885 - -1279.01. Let b = p - 0.26. What is b rounded to four dps? 0.0001 Let q = -0.444 - -409.444. Let r = q + -408.99363. Round r to three decimal places. 0.006 Let q = -126.7 + -0.3. Let y = 128.06 + q. Round y to one decimal place. 1.1 Let p = -50 + -66. Let s = p + 115.99929. Round s to four decimal places. -0.0007 Let k = 73.000033 - 73. Let q = 27 - 27. Let n = q - k. What is n rounded to five decimal places? -0.00003 Let d = -0.2234 + 0.157. Round d to 2 decimal places. -0.07 Let o = 45.66 + -46. Let j = 0.339997 + o. What is j rounded to 6 decimal places? -0.000003 Let u = -6 - 5.7. Let a = u + 11.54. What is a rounded to two decimal places? -0.16 Let z = 47 + -27. Let n = 441558233 - 441558252.9999997. Let h = z + n. What is h rounded to six decimal places? 0 Suppose -1 = k - 6. Suppose -k*w - 4*b = -2*b + 1511965, -4*b = 0. Let y = w + 212393. Round y to the nearest 100000. -100000 Let x = 1 + -3.48. Let d = x + 2.4651. What is d rounded to 3 decimal places? -0.015 Let a be 4/18 + ((-14)/9)/7. Suppose -2*g = -5*m - 26600000, 5*g - 3*m - 66500000 = -a*g. What is g rounded to the nearest 1000000? 13000000 Let u = -316.218 - 0.782. Let l = 288.6 + u. Let b = l - -32. Round b to 0 decimal places. 4 Let x = 7.9 - 4. Let q = 3.884 - x. Round q to 2 decimal places. -0.02 Let l = -135.975 + 136. Round l to two decimal places. 0.03 Suppose 5*p = -29 - 1. Let i be (394 - 2 - p/2)*60. Round i to the nearest 1000. 24000 Let b = 64149.368 + -63944. Let j = b - 0.368. Let n = j + -205.000093. Round n to 5 decimal places. -0.00009 Let l = 19.9524 - 20. Round l to 3 decimal places. -0.048 Let j = -774 - -773.98502. What is j rounded to 2 decimal places? -0.01 Let o(r) = 1788*r**2 - 14*r - 60. Let q be o(18). What is q rounded to the nearest 10000? 580000 Let q = 3622 + -2513. Suppose -6*b = -q - 2071. Round b to the nearest ten. 530 Let y = -260.8 + 567. Round y to the nearest ten. 310 Let w = 540.9994938 - 541. What is w rounded to 4 decimal places? -0.0005 Let u = 0.991 + -0.132. Let b = u + -0.087. Let o = b + -0.64. What is o rounded to two decimal places? 0.13 Let u = 2464.00004252 - 2464. What is u rounded to 6 dps? 0.000043 Let l = -3.21 + 8.33. Round l to the nearest integer. 5 Let s = 5308438 + -5308368.00059. Let f = s - 70. What is f rounded to four decimal places? -0.0006 Let b(g) = -2745*g**2 - 23*g + 62. Let i be b(-21). What is i rounded to the nearest ten thousand? -1210000 Let q be (-1 + 2)/((-10)/(-50)). Suppose -4*b - 3*d - 193 - 376 = 0, 0 = -q*b + 2*d - 740. Round b to the nearest 10. -150 Let y = -1.68 + 1.67958. Round y to five dps. -0.00042 Let d = -0.8246 - 0.2769. Let b = 1.12 - 0.02. Let l = d + b. Round l to four decimal places. -0.0015 Let s = -28 - -27.9. Let k = 1.2 + s. Let u = -1.1000014 + k. Round u to 6 decimal places. -0.000001 Let m(l) = -27*l**3 + 6*l**2 + 8*l + 8. Let c be m(6). Round c to the nearest 1000. -6000 Suppose -3*f + 5*d - 2543685 = 0, 5*f = -14*d + 12*d - 4239506. Round f to the nearest 100000. -800000 Let g = 5457257758 - 5457262317.650101. Let j = -4578.6501 - g. Let k = 19 + j. What is k rounded to six dps? 0.000001 Let w(b) = -2*b**3 - b**2 + b
{ "pile_set_name": "DM Mathematics" }
-235*h + h**4 + 235*h + p wrt h? 4*h**3 Suppose 0 = t - 3, 0*q + t = -4*q + 15. Find the second derivative of 2*z**2 + q*z**2 + z**2 + 4*z wrt z. 12 Let z(p) be the second derivative of -5/6*p**3 - 1/4*p**4 + 0*p**2 + 0 - 7*p. What is the second derivative of z(b) wrt b? -6 Suppose -2*w + 12 = 4*b, -b - 2*b - 13 = -4*w. Suppose -t + 5 = -b. Find the first derivative of 2*u - 8*u**2 - u - t - u wrt u. -16*u Let o = -370 + 373. Let v(h) be the second derivative of 0*h**4 + 7*h + 0*h**o - 1/5*h**5 - 2*h**2 + 0. Differentiate v(i) with respect to i. -12*i**2 What is the second derivative of -199*v**2 + 13 + 310*v**3 - 308*v**3 - 40*v - 16 wrt v? 12*v - 398 Suppose 9*i = -i + 20. Find the first derivative of -2*t - 13 + 2*t - 5*t**i + 14*t**2 wrt t. 18*t Let x(w) = 6*w**3 - 4*w**3 - 12*w**3 - 11 - 5*w. Let a(c) = -3*c**3 - 2*c - 4. Let t(g) = 11*a(g) - 4*x(g). Find the second derivative of t(i) wrt i. 42*i Let i(d) be the first derivative of 0*d**6 + 0*d - 8/7*d**7 - 19 + 0*d**2 + 0*d**4 - 4*d**3 + 0*d**5. What is the third derivative of i(s) wrt s? -960*s**3 Let y(x) be the third derivative of 0 + 4*x**2 + 0*x - 2/3*x**3 - 1/4*x**4. Differentiate y(p) with respect to p. -6 Let u(v) = -9*v + 3. Let c(l) = l. Let r(k) = 7*k - 1. Let s(z) = 4*c(z) - 2*r(z). Let i(h) = -4*s(h) + 3*u(h). What is the derivative of i(w) wrt w? 13 Let g(c) = 2*c + 6. Suppose -3*t - t + 20 = 0. Let f be g(t). Find the second derivative of f*w**4 - 24*w - 4*w**4 + 22*w wrt w. 144*w**2 Let u(b) be the third derivative of -2*b**5/5 - 53*b**4/12 - 51*b**2 + b. Find the second derivative of u(h) wrt h. -48 Let c = 7 + -10. Let z be (-2 - (c + 3))*-2. Find the third derivative of -w**2 - w**3 + 3*w**3 + 2*w**3 + z*w**3 wrt w. 48 Differentiate -202*g**4 - 125 - 15847*g + 15847*g wrt g. -808*g**3 Suppose y - 1 = -5*q - 4, -11 = -4*y + 3*q. Find the third derivative of -5*d**y - d**2 - 77*d**4 + 88*d**4 wrt d. 264*d Let h(x) be the first derivative of x**2/2 + 6*x + 1. Let l be h(-3). Differentiate -2 + t - 4*t + l*t + t**2 wrt t. 2*t Suppose 3*r = -2*r + 30. Suppose g - r = 2. Let s(x) = -17*x - 3. Let n(b) = -26*b - 4. Let q(k) = g*s(k) - 5*n(k). What is the derivative of q(u) wrt u? -6 Let i be 0 - -1 - (-6 + -6). What is the second derivative of 7*n + 16*n**2 + i*n**3 + 2*n**3 - 16*n**2 wrt n? 90*n Let v = -347 + 1741/5. Let j(u) be the first derivative of 0*u**4 + 0*u + 2 + 0*u**2 + 2*u**3 - v*u**5. What is the third derivative of j(l) wrt l? -144*l Let s(h) = -2*h**4 + 2*h**2 - h + 1. Let j(r) = 9*r**4 + 28*r**2 + 6*r - 23. Let a(o) = -j(o) - 6*s(o). What is the first derivative of a(b) wrt b? 12*b**3 - 80*b Let q(d) be the second derivative of -3*d**6/10 - d**4/6 - 24*d**2 - 128*d. Find the third derivative of q(f) wrt f. -216*f Let a(o) be the second derivative of o**7/420 - 5*o**4/6 + 3*o**3/2 - 22*o. Let y(z) be the second derivative of a(z). Differentiate y(d) wrt d. 6*d**2 Let m(c) be the second derivative of -114*c**5/5 - 5*c**4/12 + 10*c**3/3 + 362*c. Find the third derivative of m(x) wrt x. -2736 Let l(p) be the first derivative of -122*p**3/3 - 13*p - 113. What is the derivative of l(x) wrt x? -244*x Let x(l) be the second derivative of 0*l**2 + 0 + 2/3*l**3 - l**4 - 10*l. Find the second derivative of x(r) wrt r. -24 Suppose 0 = 3*d + k - 54, 0*d - 3*d = -5*k - 36. Differentiate 7 + 19 - 11 - d*r wrt r. -17 Let m(t) = -2*t - 2. Let k be m(-2). Suppose -2*p - 2 = -0*z - 4*z, -k = -z - p. What is the first derivative of -z - 4*r + 2*r - 2 - 2*r wrt r? -4 Let o(a) = -2*a**3 + a**2 - a + 1. Let i(s) = 12*s**3 + 6*s**2 - 6*s + 5. Let l(u) = -i(u) + 5*o(u). What is the third derivative of l(z) wrt z? -132 Let y = 24 - 20. Find the second derivative of -8*x**4 - 3*x**4 + 23*x + x**y wrt x. -120*x**2 Suppose 4*y - l + 62 = 0, -2*y + 2*l - 24 = -2*l. Let d = -11 - y. Find the first derivative of -d + 4 - 3 - i**2 + 0 wrt i. -2*i Find the third derivative of -18*q**4 - 350*q**2 + 6*q**4 + 857*q**2 - 3*q**3 wrt q. -288*q - 18 Suppose -4*r = 5*n - 26, n = -r - 4*r + 22. Let k(i) be the first derivative of -7*i**3 - 3 + 7*i**3 - 2*i**r - i**2. Find the second derivative of k(o) wrt o. -48*o Let l(g) = 3*g**3 - 2*g**2 + g + 5. Let z be l(3). Find the second derivative of -64*s + 14*s**2 + z*s + 5*s**2 wrt s. 38 Let w(k) be the first derivative of 0*k**4 - 44/5*k**5 + 0*k**3 + 0*k**2 + 27*k - 11. Differentiate w(z) with respect to z. -176*z**3 Let n(j) be the second derivative of -16*j**6/3 - j**3/3 - 3*j**2/2 - 37*j + 1. Find the second derivative of n(b) wrt b. -1920*b**2 Let c(p) be the second derivative of 189*p**5/20 - 5*p**4 + p**2 + 46*p. Find the third derivative of c(u) wrt u. 1134 Let b(c) be the first derivative of 5 + 5*c**3 + 0*c**2 + 0*c + 5/2*c**4. What is the third derivative of b(d) wrt d? 60 Let f = -30 - -19. Let g = f - -16. Find the second derivative of -s + 0*s + 0*s + 6*s**g wrt s. 120*s**3 Let g(x) = -768*x + 882. Let l(k) = 386*k - 441. Let n(f) = 6*g(f) + 13*l(f). Differentiate n(q) with respect to q. 410 Let l(v) be the third derivative of 9*v**7/70 - v**5/15 + 463*v**3/6 - v**2 + 18. What is the first derivative of l(i) wrt i? 108*i**3 - 8*i Let p(i) = i**2 + i + 2. Let l be p(0). Find the third derivative of -19*v**6 - 7*v**6 + 13*v**6 + 15*v**l wrt v. -1560*v**3 Let i(k) be the second derivative of 27*k**8/56 + 73*k**4/6 - k - 22. Find the third derivative of i(s) wrt s. 3240*s**3 Find the second derivative of 161*i + 34*i**4 - 21*i**3 + 21*i**3 - 453*i**4 - 644*i - 1 wrt i. -5028*i**2 Let l(z) be the first derivative of 93*z**7/7 + 38*z**3/3 - z**2 - 33. What is the third derivative of l(v) wrt v? 11160*v**3 Find the second derivative of -1374*s + 69*s**2 + 686*s + 686*s + 32 wrt s. 138 Let p be 15/((-14)/8 + 1). Let y be (32/p)/4*-5. Find the third derivative of 2*d**2 + 2*d**y + d**4 + 0*d**4 + 6*d**4 wrt d. 168*d What is the derivative of 15208*t**3 + 324 - 15208*t**3 + 919*t**4 wrt t? 3676*t**3 Let m(n) = 40*n**3 + 4*n**2 - 18*n. Let x(d) = -10*d**3 - d**2 + 5*d. Let w(z) = -4*m(z) - 18*x(z). What is the second derivative of w(k) wrt k? 120*k + 4 Let v(c) be the first derivative of 9*c**7/14 + 5*c**4/4 + 6*c + 22. Let h(r) be the first derivative of v(r). Find the third derivative of h(i) wrt i. 1620*i**2 Let v(k) be the third derivative of 5*k**6/8 + 46*k**3/3 - 4*k**2 + 4*k. Differentiate v(q) wrt q. 225*q**2 Find the second derivative of 32*o**2 - 487*o - 2 + 469*o + 25*o**2 - 3 wrt o. 114 Let p(d) be the first derivative of 11*d**6/2 + d**4/2 - 10*d**3/3 - 6*d + 225. Find the third derivative of p(a) wrt a. 1980*a**2 + 12 Let p = -51 - -48. Let x(v) = -5*v + 4*v**2 + 2*v + 4*v**2 - 8*v**3. Let q(h) = -h**3 - h. Let n(g) = p*q(g) + x(g). Find the third derivative of n(t) wrt t. -30 Let m = 17 - 11. Let a(f) be the first derivative of 10*f**3 - 11*f**3 + 5*f - 5*f + 7 - f**m. What is the third derivative of a(b) wrt b? -360*b**2 Find the third derivative of -38*x**2 - 19*x**2 + 16*x**6 - 18*x**6 - x**3 + 5*x**6 + 1 + 89*x**6 wrt x. 11040*x**3 - 6 Let o be -2*1/(1/(-5)). Suppose 0*k = -5*k + o. Differentiate -4*d**k - 2 + 108*d - 108*d with respect to d. -8*d Let v(l) = -2*l**2 - l. Let r(t) = -201*t**4 - 41*t**2 - t. Let j(d) = -r(d) + v(d). What is the third derivative of j(k) wrt k? 4824*k Let m(i) be the second derivative of -2*i**6/5 + 9*i**5/10 - 803*i**2/2 + 238*i - 1. What is the first derivative of m(w) wrt w? -48*w**3 + 54*w**2 Let h = -9 - -11. Differentiate 0 + 13*w**h + 2 + 6 + 0 wrt w. 26*w Find the second derivative of -4*m + m - 39 + 1 + 2*m - 184*m**3 wrt m. -1104*m Find the second derivative of -287*x**2 - 11*x + 30*x + 261 + 2*x**3 - 18*x wrt x. 12*x - 574 Find the second derivative of t**3 + 0*t**3 + 13052*t**2 - 13054*t**2 + 864*t wrt t. 6*t - 4 Let v(s) be the first derivative of 72*s**7/7 + 19*s**3/3 + 5*s + 73. Find the third derivative of v(g) wrt g. 8640*g**3 Find the first derivative of -7 + 24*j - 4 + 1 - 7 - 24 wrt j. 24 Suppose 2*k - k = 12. Let h be (-238)/(-68) + 2/(-4). What is the third derivative of 2*j**3 + k*j**2 - 7*j**2 + 4*j**h wrt j? 36 Let a(h) = 15*h - 8. Let r be (-50)/15 - 8/12. Let c(b) = 14*b - 8. Let s(u) = r*c(u) + 3*a(u). Differentiate s(d) with respect to d. -11 What is the second derivat
{ "pile_set_name": "DM Mathematics" }
8) + 0)*3)*6)**2. -3456*sqrt(17) + 40464 Simplify 5*(sqrt(490) + sqrt(490)*-2)/sqrt(180)*1. -35*sqrt(2)/6 Simplify (6*((sqrt(1872)*2)/sqrt(4) + -1)*4)**2. -13824*sqrt(13) + 1078848 Simplify -1*sqrt(1100)*-2*1*-4. -80*sqrt(11) Simplify -3*6*(sqrt(180)*-1 + -3 + sqrt(180))**2. -162 Simplify (-4*(2 + sqrt(1872)*2 + -4))**2*3. -4608*sqrt(13) + 359616 Simplify sqrt(1331) - (4 + (sqrt(1331) + 2)**2) - (-1 + -6*sqrt(1331)). -1338 + 33*sqrt(11) Simplify (0 + 5 + sqrt(1539) + -1 + -1)*-5. -45*sqrt(19) - 15 Simplify (sqrt(2) + sqrt(2) + sqrt(2) + (sqrt(50) + 3)**2 - sqrt(160)/sqrt(5)) + 1 + 2 + 6*sqrt(32). 62 + 53*sqrt(2) Simplify 2 + (sqrt(220)/sqrt(4))/sqrt(5) + (5 + sqrt(33)/sqrt(3) + sqrt(11) + sqrt(11))*1. 7 + 4*sqrt(11) Simplify -1 + sqrt(1088) - (sqrt(17)*2 + 5) - (-3 + (1*sqrt(17) + 0)**2). -20 + 6*sqrt(17) Simplify (sqrt(33) - (sqrt(33) - (sqrt(33) - 2*(sqrt(132) - sqrt(33)))))/(sqrt(88)/(2*sqrt(8))) + -5 + -5. -10 - 2*sqrt(3) Simplify 0 + (-5*(sqrt(228)/sqrt(6) - sqrt(38) - sqrt(38)))/(sqrt(20)/(sqrt(10) + (sqrt(160) + sqrt(10) - sqrt(10)) + sqrt(10))). 30*sqrt(19) Simplify -2*sqrt(4235)/sqrt(7) - (sqrt(180)*2 + -1*sqrt(320) + sqrt(5)). -27*sqrt(5) Simplify ((sqrt(2400)*-1)/(3*sqrt(392)) + -2)**2. 40*sqrt(3)/21 + 688/147 Simplify 3 + 1 + sqrt(500) + (sqrt(500)*1)**2 + 2. 10*sqrt(5) + 506 Simplify 5 + 2 + -2 + (sqrt(416)/sqrt(2) - ((sqrt(13) + 0)*-4)**2). -203 + 4*sqrt(13) Simplify ((2 + -1*sqrt(3) + -2*sqrt(108))**2 - 3*(-2*sqrt(12)/sqrt(4) - sqrt(3)))*1*-2. -1022 + 86*sqrt(3) Simplify -4 + ((1*sqrt(133)*-5 + -4*(sqrt(133) + sqrt(133)*2))/(sqrt(847) + 1*sqrt(847) + sqrt(847) + sqrt(7) + (sqrt(84)*1)/sqrt(12)))**2. 591/1225 Simplify 3 + 3*(sqrt(72) - sqrt(72)*-4*2)**2*3. 52491 Simplify (-4*1*(sqrt(98) + -1*sqrt(98) + -3 + sqrt(98) - (sqrt(98) - (sqrt(98) - (1 + sqrt(98)*-2)))))**2. -2688*sqrt(2) + 14368 Simplify -3 + 0 + sqrt(180) + sqrt(180) + 4*sqrt(180)*-1 - (5*(1 + sqrt(180) + 0))**2. -4528 - 312*sqrt(5) Simplify (5 + sqrt(7) + -2 + 2 + 1*(0 + sqrt(7)) + (0 + sqrt(14)/sqrt(2) - 1*sqrt(28)))**2. 10*sqrt(7) + 32 Simplify (-3 + 5*(sqrt(704) + 1 - sqrt(704)) + -2*sqrt(704) + -1 + 5)**2. -192*sqrt(11) + 2852 Simplify -2 + (0 + sqrt(325) - sqrt(325))**2 - ((sqrt(13) + 0)**2*-3 - (sqrt(832) + 1)). 8*sqrt(13) + 38 Simplify -4 + sqrt(1088)*1 + 3 - (sqrt(1088)*-1*-6*-1)**2. -39169 + 8*sqrt(17) Simplify (2 + 1 + sqrt(5))*-3 + -6*1*(sqrt(80) + sqrt(5)). -33*sqrt(5) - 9 Simplify -3*(-6*(sqrt(700) + sqrt(700)*1*4 + sqrt(700))*-5)**2. -68040000 Simplify (3 + -5*(sqrt(720) + sqrt(720) + -1) + sqrt(720) + 5 + 0 + sqrt(720))**2. -2496*sqrt(5) + 46249 Simplify 6*(((sqrt(1573) + (sqrt(1573)*1 - sqrt(1573)) + sqrt(1573))*-6 - sqrt(1573))*-2 + 4)**2. 13728*sqrt(13) + 6380184 Simplify (-3*(sqrt(32)*-1)/(sqrt(12)/sqrt(75)))**2. 1800 Simplify ((5*(sqrt(192) - (-1*sqrt(192) + sqrt(192))))/sqrt(12))/((sqrt(88) - (sqrt(88) - (-4*sqrt(88)*-2 + sqrt(88) - sqrt(88) - sqrt(88))))/sqrt(11)). 5*sqrt(2)/7 Simplify 1 + (sqrt(140)/(sqrt(7) - sqrt(112)))/(sqrt(10) + (1*sqrt(90))/sqrt(9))*1. -sqrt(2)/6 + 1 Simplify -1*3*-1*sqrt(704) - ((sqrt(396) - (sqrt(396)*2 - sqrt(396))**2) + 3 + sqrt(396) + (-2*sqrt(396) + sqrt(396))*-4 + sqrt(396)). -18*sqrt(11) + 393 Simplify 5*(6*((sqrt(80) + 3)**2 - sqrt(80)) - (4 + (sqrt(80) + sqrt(80)*3 + sqrt(80))**2))*-2. -1200*sqrt(5) + 14700 Simplify ((sqrt(13) + sqrt(13)*1)*4*1 + 2 + 1 + sqrt(1573))**2. 114*sqrt(13) + 4702 Simplify ((2*(sqrt(99)*5 - sqrt(99)))/(sqrt(1620)/sqrt(5)))**2. 176/9 Simplify (-1*(sqrt(792) + 2*sqrt(792)) - sqrt(792))/(sqrt(77)/(-4*sqrt(7)*-3)). -288*sqrt(2) Simplify ((sqrt(168)/sqrt(4))/sqrt(3) + sqrt(350)*2 + sqrt(14))/(-5*1*sqrt(162)). -4*sqrt(7)/15 Simplify 1*((sqrt(567) + 2 + 1 - sqrt(567))**2 - sqrt(567)*-2*-2). -36*sqrt(7) + 9 Simplify ((sqrt(57) + sqrt(114)/(sqrt(6)/sqrt(3)))/(sqrt(30)/(3*sqrt(10)))*-2 + -4)**2. 96*sqrt(19) + 2752 Simplify (-5*(-3 + sqrt(931)) + sqrt(931) + (-5*-1*sqrt(931) - sqrt(931)))**2. 225 Simplify (2*((1 + sqrt(288) - sqrt(288)) + sqrt(288))*4)**2 + 3. 1536*sqrt(2) + 18499 Simplify (sqrt(162) - -1*sqrt(162)*-3 - sqrt(162))/sqrt(6) - (-2 + 1*sqrt(27) + -2). -12*sqrt(3) + 4 Simplify 1 + (sqrt(363) + 2 - sqrt(3)) + sqrt(24)/(3*(sqrt(288) + sqrt(8))). 3 + 211*sqrt(3)/21 Simplify (1 + -4*(-2*sqrt(700) + -4 - (-2*sqrt(700) + -2)))**2. 81 Simplify 3 + (-1*sqrt(252)*3)**2 + 5 + sqrt(252)*1. 6*sqrt(7) + 2276 Simplify (sqrt(18)/sqrt(3)*1)/sqrt(3) + -2 + sqrt(18)*-3. -8*sqrt(2) - 2 Simplify (sqrt(448) + 3 + -3 - sqrt(448))*-1 + -4 + 3. -1 Simplify (sqrt(40) + (sqrt(120) + sqrt(120)*2)/sqrt(3))/(sqrt(100)/sqrt(5) - sqrt(45)/(sqrt(36)/sqrt(4))). 8*sqrt(2) Simplify (-4 + 1 + sqrt(833))**2 - (((sqrt(204)*2 - sqrt(204))*-6)/sqrt(12))**2. -42*sqrt(17) + 230 Simplify (-5 + (-2 + sqrt(2156) + -1 + sqrt(2156) - sqrt(2156)))**2 + 2. -224*sqrt(11) + 2222 Simplify (5*(sqrt(88)*-1 + sqrt(88))*-6)/((sqrt(8) - -5*1*sqrt(8))*4). 0 Simplify (-1 + (0 + sqrt(50))*5)**2 + 5*(sqrt(450) - sqrt(450)*2). -125*sqrt(2) + 1251 Simplify ((1*sqrt(288) + sqrt(288))**2 + -5 - sqrt(288)) + 3 - (2 + (sqrt(288) + 0)**2 + 0). -12*sqrt(2) + 860 Simplify ((4*(sqrt(90)/sqrt(5)*4 - sqrt(18)))/(sqrt(384)*-2*-3))**2. 3/16 Simplify (-5*(sqrt(7) + sqrt(21)/sqrt(3) + sqrt(7)) + 1 - ((-6*sqrt(7)*1 - sqrt(7)) + 5))*2. -16*sqrt(7) - 8 Simplify ((sqrt(1176)*-1 + sqrt(24))*-4)/((sqrt(120)*1)/sqrt(10)*3). 8*sqrt(2) Simplify 5 + (5 + 5*sqrt(1008))**2*4. 2400*sqrt(7) + 100905 Simplify 3 + sqrt(1539) + -3 - 4*(sqrt(1539) + (sqrt(1539) - (sqrt(1539) + 0))). -27*sqrt(19) Simplify (4*(2 + 3 + 0 + sqrt(1008))*-2)**2. 7680*sqrt(7) + 66112 Simplify (6*(sqrt(35)/(sqrt(5) + sqrt(25)/sqrt(5)) + sqrt(7) + -5 + 3*(sqrt(21)/sqrt(3) + 5)))**2. 3240*sqrt(7) + 8703 Simplify sqrt(130)/(-1*sqrt(10)) + -1 - (4*(2*sqrt(13) + sqrt(13)) - (-4 + (sqrt(13) - (sqrt(13) + sqrt(52)/sqrt(4))))). -14*sqrt(13) - 5 Simplify -6*((0 + sqrt(363))*-5 + sqrt(24)/(-2*sqrt(288))). 661*sqrt(3)/2 Simplify (1 + sqrt(243) + 4 - (4 + ((1 + sqrt(243))**2 - sqrt(243)))) + ((sqrt(243)*2 + 5)*6)**2. 6480*sqrt(3) + 35649 Simplify -5 + ((2*sqrt(704) + 1)**2*3 - ((-1 + sqrt(704))**2 + -2 - (-3 + sqrt(704) + (sqrt(704) + 1 + sqrt(704) - sqrt(704)))**2)). 48*sqrt(11) + 10563 Simplify ((sqrt(20) - (sqrt(20) - (sqrt(180) + sqrt(20) + sqrt(20))*6) - sqrt(20))*-3)/((-1*(sqrt(192)/sqrt(4) + sqrt(48)))/sqrt(12)). 87*sqrt(5)/2 Simplify (-1 + 1*sqrt(32))**2 + (1*sqrt(64)/sqrt(2))**2 - (sqrt(3200) + 0 + (sqrt(320)*-2 - sqrt(320))/sqrt(10))**2. -1503 - 8*sqrt(2) Simplify (6*(-1*-2*sqrt(102) - sqrt(102)))/((sqrt(216) - sqrt(216)*2) + 1*sqrt(6)*3). -2*sqrt(17) Simplify -5 + (sqrt(34)/(1*sqrt(72)) + sqrt(833)*-3*2)**2. 1070837/36 Simplify 5 + (sqrt(24) + sqrt(48)/sqrt(2))/sqrt(8) + -4*(sqrt(3) + sqrt(6)/sqrt(2) - sqrt(3)) + (-4 + (sqrt(15)/sqrt(5) - sqrt(3)) - (2 + (2 + sqrt(3))**2)). -6*sqrt(3) - 8 Simplify 4*((sqrt(18)/(sqrt(6) + sqrt(54))*2)**2 + 3*sqrt(147)*6). 3 + 504*sqrt(3) Simplify (4 + 1*-4*(sqrt(1872) - (sqrt(1872) + 0))*1)**2 + -2. 14 Simplify (sqrt(132) + (sqrt(132) - 1*sqrt(132)*2))/(sqrt(176)/sqrt(4)). 0 Simplify -3*((-2*sqrt(440) - sqrt(440))/sqrt(10))/(sqrt(12)/(sqrt(3)*6) - sqrt(4)). -54*sqrt(11)/5 Simplify ((sqrt(19) + (sqrt(19) + 1 - sqrt(19)) + 4 - (sqrt(171) + -4 + sqrt(19))) + 4 + (sqrt(19) - sqrt(190)/sqrt(40)))**2. -65*sqrt(19) + 1151/4 Simplify 3*(2*sqrt(121))/sqrt(11) - (-2 + sqrt(55)/sqrt(5) - sqrt(33)/sqrt(3)*5). 2 + 10*sqrt(11) Simplify ((sqrt(306)*1 - sqrt(306)) + 6*(sqrt(34)*-2 - sqrt(34)))/(sqrt(6)/sqrt(27)*4). -27*sqrt(17)/2 Simplify (sqrt(1458) + -1)*1 + 5*(sqrt(288) + -2*sqrt(288) + 0). -33*sqrt(2) - 1 Simplify 3 + sqrt(637)*-1 + ((-1*sqrt(13) + 4)*-4)**2. -135*sqrt(13) + 467 Simplify ((sqrt(1216) - -4*(-1*sqrt(1216) + sqrt(1216)) - sqrt(1216))*2)**2 + ((sqrt(19) - sqrt(304)) + -4 - sqrt(228)/sqrt(108))*-3. 12 + 10*sqrt(19) Simplify 4 + 1 + (1 + sqrt(512))*1 + 5. 11 + 16*sqrt(2) Simplify 1*sqrt(153)*2 + sqrt(136)/(sqrt(800) - -2*sqrt(800)). 181*sqrt(17)/30 Simplify (-2 + 2*sqrt(176)*-2*5*-4)**2. -1280*sqrt(11) + 1126404 Simplify ((sqrt(19) - (sqrt(19) + sqrt(1900) + 1)) + (0 + sqrt(19))*-5 + -1)*-6. 12 + 90*sqrt(19) Simplify -4*(2*sqrt(539) + -3)**2 + 5. -8655 + 336*sqrt(11) Simplify 6*2*((sqrt(11) - (sqrt(11) + 0))*5 - (sqrt(495) - sqrt(55))/sqrt(5))**2. 528 Simplify -1 + (-3
{ "pile_set_name": "DM Mathematics" }
et r(m) = -4*m + w*m + 0*m. What is r(a(b))? -6*b Let h(j) be the second derivative of j**5/60 - j**3/3 + 3*j. Let k(z) be the second derivative of h(z). Let p(t) = -3*t. Calculate k(p(q)). -6*q Let i(n) = -6*n**2 + 7*n + 7. Let z(d) = 5*d**2 - 6*d - 6. Let w(y) = 6*i(y) + 7*z(y). Let o(f) = -2*f. Give w(o(t)). -4*t**2 Let m(d) = 5*d**2 + 0 + 0. Let q(l) be the first derivative of 2*l**3/3 - 15. Calculate q(m(p)). 50*p**4 Let n(i) = -38*i**2. Let x(z) = 0*z - 2*z + 3*z + 0*z. Calculate n(x(j)). -38*j**2 Let r(y) = 2*y + 2*y - 2*y. Let m(p) = -p - 2. Let k(s) = -s**2 - 2*s - 4. Let t(c) = -k(c) + 2*m(c). Give r(t(v)). 2*v**2 Let s(y) = -2*y - 15. Let b(z) = -2*z**2. Give s(b(w)). 4*w**2 - 15 Let f(t) = 5*t. Let k(a) = a - 2. Let s(v) = -2*v + 3. Let d(l) = 3*k(l) + 2*s(l). Give d(f(r)). -5*r Let c(d) = d**2 - 3*d + 3. Let f be c(3). Let q(o) = -f*o**2 + 7*o**2 - 2*o**2. Let v(z) be the second derivative of z**4/4 - 7*z. Give v(q(r)). 12*r**4 Let y(r) = 28*r - 6. Let l(k) = -61*k + 13. Let n(o) = -6*l(o) - 13*y(o). Let t(m) = -m + 0*m + 6*m. Calculate n(t(j)). 10*j Let a(d) = 23*d - 8. Let x(w) = -w. Give x(a(n)). -23*n + 8 Let l(m) = 42*m + 1. Let x(k) = -15*k**2. Determine l(x(g)). -630*g**2 + 1 Let d(f) = 731*f**2. Let y(r) = 3*r. Calculate y(d(z)). 2193*z**2 Let r(w) = 27*w. Let n(v) be the first derivative of -2*v**3/3 + 12. Calculate n(r(f)). -1458*f**2 Let n(m) = -2*m. Let a(w) = -11*w**2 + 5. Let g(z) = 17*z**2 - 8. Let h(k) = -8*a(k) - 5*g(k). Calculate n(h(f)). -6*f**2 Let p(m) = 45*m**2 - 9. Let o(c) = c**2. What is o(p(t))? 2025*t**4 - 810*t**2 + 81 Let q(t) = -16*t. Let g(v) = v + 6. Let x(j) = -j - 2. Let b(n) = 2*g(n) + 6*x(n). What is q(b(k))? 64*k Let k(f) = 5*f. Let b(j) = -5*j**2 - 64. Determine b(k(a)). -125*a**2 - 64 Let n(t) = -2*t**2 + t**2 + 1 - 1. Let d be 3*2*3/9. Let i(s) = 0*s - s - d*s. Calculate n(i(z)). -9*z**2 Let o(y) = 10*y**2 - 4. Let l(f) = -f. Give o(l(c)). 10*c**2 - 4 Let c(b) = -6*b. Let l(s) be the second derivative of -s**4/12 - 3*s. Give l(c(j)). -36*j**2 Let u(j) = -43*j. Let q(t) = t**2. Give q(u(r)). 1849*r**2 Let v = 4 + -2. Let n(b) = -b + b - b**v. Let t(q) be the first derivative of -4*q**3/3 + 4. Calculate t(n(c)). -4*c**4 Let l(u) = -34*u + 8. Let v(k) = -8*k**2. Calculate v(l(r)). -9248*r**2 + 4352*r - 512 Let h(x) = -41*x**2. Let z(l) = -10*l**2. Determine z(h(b)). -16810*b**4 Let d(a) = 2*a**2 + 2*a**2 + 0*a**2. Let v(y) be the third derivative of 0 + 0*y**3 + 1/24*y**4 + 2*y**2 + 0*y. Determine v(d(g)). 4*g**2 Let c(t) be the first derivative of 2*t**3/3 + 1. Suppose -8 = 3*h - 6*h - u, 4*u = 8. Let p(f) = f**2 + f**2 - f**2 + h*f**2. What is p(c(v))? 12*v**4 Let x(p) = -22*p - 5. Let o(u) = 33*u + 8. Let f(r) = 5*o(r) + 8*x(r). Let z(k) = 2*k. Give z(f(g)). -22*g Let i(q) = q. Let v(u) = -u**2 + 1710. What is i(v(k))? -k**2 + 1710 Let l(s) = -2108*s**2 + 3*s. Let r(y) = -2*y. Give l(r(i)). -8432*i**2 - 6*i Let h(m) = -12*m**2 - 4*m + 4. Let a(j) = j - 1. Let w(y) = -4*a(y) - h(y). Let v(t) = 0*t - 130*t**2 + 132*t**2 + 0*t. Calculate w(v(f)). 48*f**4 Let a(v) be the second derivative of -v**4/6 + 5*v. Let j(b) = -26*b**2. What is j(a(t))? -104*t**4 Let f(j) = 5 - 5 + 2*j**2. Let s(k) be the second derivative of k**4/3 - 2*k - 120. Calculate f(s(l)). 32*l**4 Let r(h) = -h. Let z(x) = x. Let f(i) = -2*r(i) - 3*z(i). Let l(c) be the first derivative of 1/3*c**3 - 1 + 0*c + 0*c**2. What is l(f(g))? g**2 Let i(n) = n**2. Let t(z) = 55*z**2 + 25*z + 25. Let s(l) = 9*l**2 + 4*l + 4. Suppose 0*x + 4*x - 100 = 0. Let h(j) = x*s(j) - 4*t(j). What is i(h(a))? 25*a**4 Let j be (2/(-3))/((-4)/18). Let o(g) = 3 - j*g - 3. Let z(p) = p**2 + p - 1. Let v(t) = 5*t**2 + 3*t - 3. Let k(a) = -v(a) + 3*z(a). Determine k(o(c)). -18*c**2 Let o(g) = 18*g. Let m(t) = 4*t - 7. Let h(b) = 3*b - 5. Let p(q) = -7*h(q) + 5*m(q). Determine o(p(r)). -18*r Let u(z) = -35*z. Let v(j) = 10*j. Calculate u(v(p)). -350*p Let v(z) be the second derivative of 0*z**2 + 6*z - 1/3*z**3 + 0. Let q(s) = -5*s. Give v(q(d)). 10*d Let g(x) be the second derivative of -x**3/6 - 17*x. Let u(a) = -101*a**2. Determine g(u(s)). 101*s**2 Let y(i) be the third derivative of 5*i**4/24 - 9*i**2. Let b(k) = k + 9. Let m be b(-6). Let v(a) = a + m*a - 2*a. Determine v(y(l)). 10*l Let m(u) = -u + 0*u + 0*u. Let y = 5 + -9. Let t(c) = -2*c + 4. Let i(g) = 3*g - 5. Let h(p) = y*i(p) - 5*t(p). Give h(m(a)). 2*a Let r(u) = 64*u**2. Let d(v) = v**2. Determine r(d(g)). 64*g**4 Let k(f) = 2*f**2. Let q(m) = -22*m**2. Give k(q(n)). 968*n**4 Let z(x) = -8*x + 3. Let s(g) = 14*g - 5. Let q(u) = 9*u - 3. Let a(r) = 7*q(r) - 5*s(r). Let o(d) = 3*a(d) - 4*z(d). Let b(i) = 2*i. Determine b(o(p)). 22*p Let q(y) = -28 + 28 - 3*y. Let j(f) = -3*f**2. Calculate q(j(g)). 9*g**2 Let l(n) = -2*n**2 + 3*n - 3. Let t(i) = 10*i**2 - 14*i + 14. Let c(y) = -14*l(y) - 3*t(y). Let d(x) = -3*x**2. Give c(d(r)). -18*r**4 Let q(i) = -i. Let g(j) = -j**2 + j + 1. Let b(t) = 4*t**2 - 3*t - 1. Let l(x) = -b(x) - 3*g(x). Let m(a) be the first derivative of l(a). Calculate m(q(u)). 2*u Let f(y) = 2*y**2. Let x(u) = 0*u**2 - 2*u**2 - 5*u - u**2. Let t = -5 + 10. Let c(q) = -2*q**2 - 3*q. Let m(d) = t*c(d) - 3*x(d). Calculate f(m(o)). 2*o**4 Let c(h) be the third derivative of h**4/24 - 5*h**2. Let q(o) = -25*o**2. Calculate q(c(d)). -25*d**2 Let l(d) be the third derivative of d**5/60 - d**2. Let o(b) be the third derivative of b**2 + 0*b + 0*b**4 + 0 + 0*b**3 + 1/30*b**5. Give l(o(j)). 4*j**4 Let s(n) = -9*n**2. Let b(m) = -2*m**2. Let v(u) = 10*b(u) - 2*s(u). Let y(j) = 8*j. Give y(v(z)). -16*z**2 Let k(d) = d**2. Let r(z) = 3*z**2 - 1 - 10 + 11. Give k(r(w)). 9*w**4 Let g(r) = -6*r. Let j(x) = 35*x + 1. Determine g(j(u)). -210*u - 6 Let m(a) = -12*a**2. Let z(t) = -30*t**2. Calculate z(m(q)). -4320*q**4 Suppose -3*n + 20 = -2*n. Suppose n = 4*f - 0*f. Let j(v) = f - v - 5. Let g(o) = o**2. Calculate j(g(m)). -m**2 Let j(l) be the first derivative of -l**2 - 1. Let r(h) = 24*h + 14. Let k(t) = -5*t - 3. Let x(n) = -14*k(n) - 3*r(n). Give j(x(g)). 4*g Let k(p) be the second derivative of 19*p**3/3 - 2*p + 3. Let b(l) = 2*l**2. Calculate b(k(z)). 2888*z**2 Let g(t) = -t**2. Let n = -6 + 5. Let y = n + 3. Let q(d) = y*d - d + d. Calculate g(q(c)). -4*c**2 Let v(q) = -8*q. Let z(w) = 3*w + 2. Let f(m) = -38*m - 21. Let j(h) = 13*h + 7. Let d(p) = 3*f(p) + 8*j(p). Let s(u) = 2*d(u) + 7*z(u). Calculate s(v(n)). -8*n Let t(f) be the first derivative of f**3/3 - 17. Let u(g) = -39*g**2 - g. Calculate t(u(k)). 1521*k**4 + 78*k**3 + k**2 Let j(m) be the second derivative of m**3/6 + 4*m. Let r(d) = -d**2. What is j(r(a))? -a**2 Let x(a) = -5 + a**2 - 4 + 9. Let h(b) = -4*b. Determine h(x(k)). -4*k**2 Let f(b) = -b**2 - 2*b**2 + 3*b**2 - 2*b**2. Let t(h) = -4*h + 3. Let c(d) = -3*d + 2. Let i = -7 - -3. Let p(x) = i*t(x) + 6*c(x). Determine p(f(w)). 4*w**2 Let f(m) = 2*m**2 + 5. Let q(c) = 2*c**2 + 4. Let n(h) = 4*f(h) - 5*q(h). Let u(r) = 4*r - r - r. Give u(n(x)). -4*x**2 Let u(m) = 4*m. Let t(p) be the first derivative of p**3/3 + 11*p**2 - 3. Let f(w) = 4*t(w) - 22*u(w). Let j(n) = n**2 - 2 + 2. Calculate j(f(v)). 16*v**4 Let n(x) = x. Let m(c) = -3*c**2 + 2. Let y(l) = 4 + 25*l**2 - 5 - 8 - 8. Let u(w) = -51*m(w) - 6*y(w). Determine n(u(q)). 3*q**2 Let t(z) = -6*z**2. Let m(x) = 2*x**2 + 5*x - 5. Let o(c) = -c**2 - 3*c + 3. Let h(a) = 3*m(a) + 5*o(a). Calculate t(h(s)). -6*s**4 Let w(s) = -5*s. Let p(g) = -11*g**2. Determine p(w(x)). -275*x**2 Let u(c) = 16*c. Let z(y) = -7*y**2 + 2. Calculate z(u(l)). -1792*l**2 + 2 Let j(c) be the second derivative of 0*c**2 + 1/3*c**3 - 4*c + 0. Let i(b) = 13*b**2. What is i(j(d))? 52*d**2 Let l(f) = -2*f**2 + 41. Let p(o) = 28*o**2. What is p(l(v))? 112*v**4 - 4592*v**2 + 47068 Let b = -21 - -23. Let a(n) = -n + b*n + 5*n - 3*n. Let p(c) = 2*c**2. Calculate p(a(l)). 18*l**2 Let o(c) = -3*c + 7. Let x(p) = 20*p**2. Determine x(o(m)). 180*m**2 - 840*m + 980 Let y(m) = -m**2. Let s be (-1)/(3/6 - 1). Let c(g) = -5*g**2 + s*g**2 + g**2 + 3*g**2. Give y(c(j)). -j**4 Let o(p) = -2*p - 2*p + 2*p. Let a = 5 + -3. Let s(x) = 2*x**2 + 5*x**2 - 4*x**2 - 5*x**a. Calculate o(s(w)). 4*w**2 Let v(p) = -2*p**2. Let t(z) be the first derivative of -8*z**3/3 + 4*z
{ "pile_set_name": "DM Mathematics" }
sqrt(4)) + sqrt(11) + 3*1*sqrt(11) + sqrt(11) + sqrt(11) + 6*(sqrt(44) + sqrt(11)) + 0)**2. -300*sqrt(11) + 6911 Simplify (sqrt(119)/(sqrt(7) + sqrt(42)/sqrt(6)) + sqrt(17))*5 - ((sqrt(17) - (2 + sqrt(17) + sqrt(17) + 1)) + sqrt(612)*-2). 3 + 41*sqrt(17)/2 Simplify ((3*sqrt(3168))/(sqrt(55)/sqrt(5)*-4 - sqrt(11)))**2. 2592/25 Simplify (-4 + 2*sqrt(112) - (-3*sqrt(112) + -5)) + 3. 4 + 20*sqrt(7) Simplify (sqrt(1225) - (1*sqrt(1225) + sqrt(1225)))/(sqrt(343) - (sqrt(343) - sqrt(343)*1)) - (sqrt(448) + 0 + sqrt(448) + (sqrt(252)/sqrt(4))/sqrt(9))**2. -2023 - 5*sqrt(7)/7 Simplify -1*(-4 + 5 + (sqrt(80) - (sqrt(80) + -1 + 4)) + 1)**2. -1 Simplify (sqrt(152)/((sqrt(16)*3)/sqrt(4)))/(sqrt(54)/sqrt(3) + -1*sqrt(2)*-5). sqrt(19)/24 Simplify 0 + (sqrt(1216) - 4*sqrt(1216)*2)**2*-6. -357504 Simplify (1*sqrt(5472)*-3)/(sqrt(16)/sqrt(128) + (-1*sqrt(72) - sqrt(72))). 144*sqrt(19)/47 Simplify (sqrt(198) + -2*sqrt(198) + sqrt(88)/sqrt(4)*-5)/((sqrt(1408) + sqrt(1408)*-2)/sqrt(2)). sqrt(2) Simplify (2*2*sqrt(40))/((sqrt(2) + 3*(sqrt(2) - sqrt(8)) - sqrt(2) - sqrt(2))*6). -sqrt(5)/3 Simplify 6*((2 + (sqrt(14)/(sqrt(2) - sqrt(2)*-3) - (sqrt(168)/sqrt(3))/sqrt(8)))*3)**2. -162*sqrt(7) + 3429/8 Simplify (-2 + sqrt(1700)*-4*-4 + 2 + -1 + (sqrt(1700)*4 + sqrt(1700) - sqrt(1700)))**2. -400*sqrt(17) + 680001 Simplify -6*((sqrt(28)/(sqrt(28)/sqrt(7)))**2 - (sqrt(7) + sqrt(175) + (1 + sqrt(175) - sqrt(175))))*1. -36 + 36*sqrt(7) Simplify (6*-3*sqrt(208)*1 - -4*-4*sqrt(208)*1)*5. -680*sqrt(13) Simplify (sqrt(288) + 0 - sqrt(288))*5*6. 0 Simplify (sqrt(18)/((sqrt(2) - 6*sqrt(8)) + sqrt(2)))/(((sqrt(96)*-2)/sqrt(4))/sqrt(8)). sqrt(3)/20 Simplify -2 + ((sqrt(108) + 3 + sqrt(108))*4 - (3 + -2*sqrt(108)))**2. 1080*sqrt(3) + 10879 Simplify (2*6*(0 + 3 + sqrt(539) + sqrt(539) + (sqrt(539) - 2*sqrt(539)*-1)))**2. 30240*sqrt(11) + 1941696 Simplify (sqrt(153) + -1 + 0 + sqrt(153) - ((0 + sqrt(153))*6)**2) + 2 + 1. -5506 + 6*sqrt(17) Simplify ((-3*sqrt(77))/sqrt(11) + 5 - (sqrt(63)*-1 + 1 + sqrt(448) + sqrt(448)))**2. -128*sqrt(7) + 1808 Simplify -2 + (-1*sqrt(315))/(-5*sqrt(35)/sqrt(5) - sqrt(7)). -2 + sqrt(5)/2 Simplify -6*((3 + ((-1 + sqrt(68) - sqrt(68)) + sqrt(68) - sqrt(68)))**2 + 0 + sqrt(17) + sqrt(17) + -1 + -2*sqrt(17)*-1). -24*sqrt(17) - 18 Simplify 3*(5*sqrt(1200) - sqrt(1200))/(sqrt(60)/(sqrt(100)/sqrt(10))). 120*sqrt(2) Simplify (sqrt(684) + sqrt(684) + -1 + -5 + -1*sqrt(684) + 2)**2*-2. -1400 + 96*sqrt(19) Simplify (5 + (3 + 4*sqrt(68)*-5)*-1)**2. 160*sqrt(17) + 27204 Simplify 2 + -1*-4*(1*(-2 + sqrt(425) - sqrt(425))**2 + sqrt(425)). 18 + 20*sqrt(17) Simplify (-2*sqrt(45)*-2 - (sqrt(6480) - 2*sqrt(6480) - sqrt(6480)))/(sqrt(72)/(sqrt(72)*-4)). -336*sqrt(5) Simplify (-3*sqrt(2106) - sqrt(26))/(sqrt(1458)/sqrt(9)). -28*sqrt(13)/9 Simplify ((sqrt(56) - 2*sqrt(56))*-6 + sqrt(56))/(sqrt(128)*3)*6. 7*sqrt(7)/2 Simplify sqrt(847)*1*2*-6 + 3 + (sqrt(847) - (sqrt(847) + sqrt(847) + 0 + 1)**2). -3386 - 165*sqrt(7) Simplify (-4 + (sqrt(700) - 1*(sqrt(700) + 3)))*-1. 7 Simplify sqrt(3564) + 1 + 3 + (5 + sqrt(176)/sqrt(4))*4. 24 + 26*sqrt(11) Simplify (5*(-3 + sqrt(200) + sqrt(200) + sqrt(200) + 2 + -3 + (sqrt(200) - -1*sqrt(200)*-1 - ((sqrt(200) - (1 + sqrt(200)))*-2 + sqrt(200)))))**2. -6000*sqrt(2) + 20900 Simplify (3*sqrt(833)*1 - -3*(sqrt(833) + (sqrt(833) - (sqrt(833)*1 - sqrt(833)))))**2*2*-3. -404838 Simplify (5*(sqrt(3) + sqrt(3) + -1 + -5 - sqrt(36)/(sqrt(36)/sqrt(3))))**2 + -4. -300*sqrt(3) + 971 Simplify 1 + 3*((sqrt(175) + 0)**2 + sqrt(175) + 5 + sqrt(175) - (sqrt(175)*-3 + -5)). 75*sqrt(7) + 556 Simplify 2 + (0 + sqrt(80))**2 + ((sqrt(80) + (sqrt(80) - ((-4*sqrt(80) + sqrt(80) - sqrt(80)) + sqrt(80))))*-5 + sqrt(80))**2. 46162 Simplify (4*sqrt(375)*4)/(sqrt(10)/(sqrt(2) - (sqrt(10)/sqrt(5) + sqrt(2)) - sqrt(2))*3). -160*sqrt(3)/3 Simplify (-5 + sqrt(28)/sqrt(4) + -3*(sqrt(7) + -3 + sqrt(7)))**2*1. -40*sqrt(7) + 191 Simplify -1*((sqrt(35) - (sqrt(385)*2 - sqrt(385) - sqrt(385))/sqrt(11))/sqrt(7) + (-3*(0 + sqrt(180)) - sqrt(180))). 23*sqrt(5) Simplify 4 + 4*(-2*sqrt(1331)*1 + -1)**2*-1. -21296 - 176*sqrt(11) Simplify -2*(-1*(sqrt(208)*2)**2 + ((2*-1*sqrt(104))/sqrt(8))**2)*-1. -1560 Simplify 4*(-3 + (0 + sqrt(2736) + sqrt(2736))**2 + -1). 43760 Simplify 3*(sqrt(272) + 3)*-4*-3. 108 + 144*sqrt(17) Simplify ((sqrt(14) - -2*sqrt(168)/sqrt(12)) + sqrt(14))/(-6*sqrt(14)/sqrt(2)). -2*sqrt(2)/3 Simplify sqrt(70)/(sqrt(60)/sqrt(6)) + 4 - -3*(sqrt(63) + sqrt(441)/sqrt(7))**2. sqrt(7) + 760 Simplify 3 + -4 + sqrt(2) + -1 + sqrt(2) + (sqrt(16)/sqrt(72) - sqrt(2)) + -3 + -5. -10 + 4*sqrt(2)/3 Simplify -4 + 2*sqrt(24)/sqrt(12) - (sqrt(22)/(5*sqrt(11) - sqrt(11)) + -2). -2 + 7*sqrt(2)/4 Simplify (-1 + sqrt(48) + -1)**2 + (sqrt(3)*-2*-3 - ((sqrt(15)/sqrt(5))**2 + 3)). -10*sqrt(3) + 46 Simplify -2*(0 + sqrt(21)/sqrt(7)) - 1*(sqrt(27)*-3 + sqrt(27) + sqrt(27)). sqrt(3) Simplify (2*(1 + sqrt(1700) + (sqrt(1700) - (-3*sqrt(1700)*6 - sqrt(1700) - sqrt(1700))) + -1))**2. 3291200 Simplify (2*(sqrt(1700)*3 + sqrt(1700) + sqrt(1700) + sqrt(1700)) - ((sqrt(17) - (sqrt(17) + sqrt(17) + sqrt(17)*-1))*3 + (sqrt(68) - 1*sqrt(68))/sqrt(4)))**2. 244800 Simplify ((sqrt(125) + sqrt(125)*1 + 5 + sqrt(125) + sqrt(125) - (0 + (sqrt(125) - (0 + sqrt(125))) + sqrt(125)))*5)**2. 3750*sqrt(5) + 28750 Simplify -3*(sqrt(20)/sqrt(5) - sqrt(4))/sqrt(2) - sqrt(22)/(-3*sqrt(275) - sqrt(275)). sqrt(2)/20 Simplify 5*(1*sqrt(135))/(sqrt(5) - (sqrt(405) - sqrt(405)*2)). 3*sqrt(3)/2 Simplify ((-5 + sqrt(80) + sqrt(80) + -4*sqrt(80) + 3 + 0 + sqrt(80))*-2)**2. 64*sqrt(5) + 336 Simplify 4 + -1 + 4 + (sqrt(832) - (3 + sqrt(832))*5)**2 + 1. 960*sqrt(13) + 13545 Simplify (-3 + sqrt(612) - 4*(2 + sqrt(17))) + 3 + 3. -5 + 2*sqrt(17) Simplify -1 + (sqrt(891) + -1 + sqrt(891) + sqrt(891) + 5 + -1 + sqrt(891) + -2)**2. 72*sqrt(11) + 14256 Simplify (sqrt(121) + sqrt(121) + sqrt(121) + (sqrt(121)*3*-5 - sqrt(121)) + sqrt(121))/(sqrt(1100)*-5). 6*sqrt(11)/25 Simplify 0 + ((sqrt(1584) - (-3 + sqrt(1584) + 0))**2 - sqrt(1584)) + 0 + sqrt(33)/(sqrt(12)/sqrt(4)). -11*sqrt(11) + 9 Simplify (((2*sqrt(288) - sqrt(288)) + -3)*3)**2 + 1 + (sqrt(288) + -1)**2*5. -768*sqrt(2) + 4119 Simplify 4 + (sqrt(160)/sqrt(5))/(2*sqrt(196) - sqrt(4)). 2*sqrt(2)/13 + 4 Simplify ((sqrt(153) - (sqrt(153)*2 + sqrt(153)))*2)/((sqrt(36) - (sqrt(36) + sqrt(72)/sqrt(2)))/sqrt(4)) - (-2*-1*sqrt(68))/(sqrt(100)*-2). 21*sqrt(17)/5 Simplify (6*((1 + sqrt(208) + (sqrt(208) - (sqrt(208)*1 + sqrt(208) - sqrt(208))) - (4 + (sqrt(208) - sqrt(208)*2))) + -1)*1)**2. -2304*sqrt(13) + 30528 Simplify 2*sqrt(320)*2 - (-3 + (sqrt(5) + (sqrt(5) - (1 + sqrt(5)*-3)) - sqrt(5)))**2. -96 + 64*sqrt(5) Simplify ((4*2*sqrt(56)/sqrt(4))/((1*sqrt(448) + sqrt(448))*3 - sqrt(448) - sqrt(448)))**2. 1/8 Simplify (sqrt(8) + 5)*-3 - ((sqrt(2) - (sqrt(2) + 2 + sqrt(18))) + sqrt(2) + -1 + 4)**2. -24 - 2*sqrt(2) Simplify (4*(-3 + (sqrt(80) + (sqrt(80) - (2*(sqrt(80) - (sqrt(80)*-1 - sqrt(80))) + sqrt(80) + sqrt(80))) - sqrt(80)) + 3 + sqrt(80) + 2*sqrt(80)*-3))**2. 184320 Simplify ((sqrt(80)/sqrt(4) + sqrt(20))*4*5)/(sqrt(48)/(sqrt(1200) - (sqrt(1200) - (sqrt(1200) + -2*sqrt(1200))) - sqrt(12))). -440*sqrt(5) Simplify -4*-2*(-5 + (sqrt(1216) - (sqrt(1216) + 2))*3)**2*-2. -1936 Simplify 4*((sqrt(75) + sqrt(75) + 1*sqrt(75) + -3 - (sqrt(75) + (1*sqrt(75) + 0 - sqrt(75))))**2 + (-2*sqrt(75)*6 + 2)**2). -1200*sqrt(3) + 44452 Simplify sqrt(27)/(1*sqrt(441)) + ((sqrt(75) - (sqrt(75) + sqrt(75) + -1 - sqrt(75)))*4)**2. sqrt(3)/7 + 16 Simplify (sqrt(216)/(sqrt(54)/sqrt(6)*-1))/(((sqrt(96) - -6*-2*sqrt(96)) + sqrt(96) + sqrt(96))/sqrt(12)). sqrt(3)/9 Simplify (sqrt(243)/(sqrt(9) - sqrt(36)*1) + 3)**2. -18*sqrt(3) + 36 Simplify -3*(((sqrt(1377) - (-3 + sqrt(1377))) + sqrt(1377))**2*6 + -5 + 5). -24948 - 972*sqrt(17) Simplify (1*(sqrt(176) + (sqrt(176) + sqrt(176)*-4 - sqrt(176)))/sqrt(4))/(sqrt(40)/(sqrt(90) + (sqrt(90) - (-4*sqrt(90) + sqrt(90))))). -45*sqrt(11) Simplify (sqrt(70)*-2*2 - -3*sqrt(70)*1)/(2*(sqrt(90)*-2 - sqrt(90))). sqrt(7)/18 Simplify 1 + (sqrt(272) - (-1 + sqrt(272))) - (sqrt(272) - (-1 + (-4*sqrt(272) - sqrt(272))))**2. -9791 - 48*sqrt(17) Simplify (sqrt(78) + -1*sqrt(78))/sqrt(6)*-4*-3 + 4. 4 Simplify ((sqrt(132) + sqrt(132)*4*4 + sqrt(132))/sqrt(4))/(sqrt(22)/(sqrt(162) + 4*s
{ "pile_set_name": "DM Mathematics" }
nominator of w and -35/4. 12 Suppose -j + 9 = -3*i + 2, 12 = 3*j. What is the smallest common multiple of (-3)/((-6)/16) - i and 3? 9 Suppose -62 = -0*m - 2*m + 4*a, 5 = -a. Let w(g) = 4*g - 6. What is the smallest common multiple of w(4) and (-6)/9*(-3 - m)? 80 Suppose 2*z + 2 = 0, -5*w - 3*z + 18 = -z. Suppose 2*r - w = 4*h, 0*h = 4*r + 3*h - 8. Calculate the lowest common multiple of 11 and r. 22 Let a = -4 + 6. Calculate the common denominator of -53/9 and (20/(-14) + a)/1. 63 Let b = -4 + 8. Calculate the smallest common multiple of b and 32. 32 Find the common denominator of 103/10 and (867/340)/(6/5). 40 Let l(z) = -3*z - 2. Let d(b) = -2*b**2 - 3*b - 2. Let c be d(-2). Calculate the least common multiple of 2 and l(c). 10 Let k(s) = s**2 - 8*s. Let q be k(6). Calculate the common denominator of -2 - (-291)/q - -2 and 5/8. 8 Let o = -3/1030 - 14923/4120. Find the common denominator of 27/10 and o. 40 Suppose a - 7*a + 72 = 0. Calculate the lowest common multiple of 16 and a. 48 Let c = -14 + 17. Suppose 0 = -c*j - 4 + 19. Calculate the lowest common multiple of j and 11. 55 Find the common denominator of -7/2 and (-59 - 3)*6/(-56). 14 Find the common denominator of -31/5 and 7/49 - (-512)/(-350). 25 Let r = -126 + 180. Let t be (-5)/2 + 21/14. Find the common denominator of (t + r)/(16 + -2) and 35/4. 28 Let h(u) = -2*u**2 + 16*u - 16. Calculate the lowest common multiple of 22 and h(6). 88 Let n(q) = 3*q - 15. Calculate the least common multiple of 10 and n(7). 30 Let o = 118 - 98. Calculate the lowest common multiple of o and 44. 220 Let a be 68/6 - (-2)/(-6). Let x(d) = -d**3 - 10*d**2 - 9*d - 2. Let y be x(-9). What is the lowest common multiple of 18 and a/((1 - y)/6)? 198 Let z be (-3)/12 + (-106)/(-8). Let u = -7 + z. Let p = 0 + 4. Calculate the smallest common multiple of p and u. 12 Let g(u) = u**2 - 4*u - 4. Calculate the least common multiple of g(6) and 12. 24 Find the common denominator of (-1)/(-2) - 154/64 and 145/12. 96 Let o(u) = -6*u**3 + 3*u**2 - 2*u - 1. Let v be o(-3). Let d = v - 3109/16. What is the common denominator of d and 125/18? 144 Suppose 4*h = 3*j + 84, -5*h + 42 = -3*j - 66. Calculate the common denominator of 0 + -2 + (-30)/(-28) and ((-4)/(-6))/(h/417). 84 Let q = 4 - 9. Suppose -11 = -4*b - 27. Calculate the least common multiple of (b + 1)/(q/30) and 12. 36 Let s(l) = 2*l**2 - 8*l + 6. Let y be s(6). What is the common denominator of (-193)/y + (-20)/30 and -55/2? 10 Let u = 1 - -7. Let i(v) = -v**2 + 8*v + 8. What is the lowest common multiple of i(u) and 4? 8 Let l be (-2)/(-8) - (-46)/8. Calculate the common denominator of (-94)/l + -5 + 7 and 349/70 + (-8)/28. 30 Calculate the common denominator of -83/16 and 83/(-2) - (2 - -2). 16 Let q(p) = 2*p + 2. Calculate the smallest common multiple of 24 and q(3). 24 Let a be -3 - -2 - -3*3. Let s = a - 7. Let h = -8 - -14. What is the lowest common multiple of s and h? 6 Suppose 0 = w - y - 3437, -871 + 18046 = 5*w - 3*y. Find the common denominator of (-4)/18*w/(-32) and -51/8. 24 Let a(o) = 2*o**2 - 2*o - 1. Let f be a(6). Suppose -5*d = -4*x - f - 92, 5*d - 143 = 2*x. Calculate the common denominator of 192/d + 0 - -1 and 93/2. 18 Let q = -1339/55 + 273/10. Find the common denominator of (7/(-21))/((-2)/105) and q. 22 Let f be (-206)/(-10) - (-2)/(-5). Let k = 899/20 - f. Calculate the common denominator of 97/8 and k. 8 Suppose m - 52 = 11. Calculate the lowest common multiple of 5 and m/6 - 1/2. 10 Let m(g) = -g. Let n be m(-2). Suppose 3*v = -w + 3, 3*w + n*w + 13 = -v. Calculate the lowest common multiple of (-2)/(-1) - v/(-1) and 18. 36 Suppose h = 2*c + 11 + 13, -4*c + 40 = 2*h. What is the smallest common multiple of h and 44? 44 Suppose 8*f = 3*f + 55. Calculate the lowest common multiple of 6 and f. 66 What is the common denominator of -5*(-3 + (-9)/(-2)) and 5/11? 22 Let i(r) = r + 11. Let k(n) = -22*n**3 - n - 1. Calculate the smallest common multiple of k(-1) and i(-5). 66 Suppose -2*d + 4*k + 38 = -24, 4*d - 131 = k. Calculate the least common multiple of d and 9. 99 Let j = -31653/20 + 1583. Let i = -3637097 - -290962041/80. Let z = i + 349/5. What is the common denominator of j and z? 80 Let p = -40 + 46. Calculate the smallest common multiple of 10 and p. 30 Calculate the common denominator of (-4 - (-22)/12)/(22/18) and -27/4. 44 Let c(z) = 2*z**2 + 5*z + 2. Let f be c(-5). Calculate the common denominator of -89/8 and (3/(-6))/(f/246). 72 Suppose 4*o - 28 = 20. Let u be (2/(-4))/(1/(-4)). What is the least common multiple of -1*2/(-1)*u and o? 12 Let m(t) = t + 6. Suppose -4*d - 29 = -5. Let f be m(d). Suppose -5*h = 2*v + v - 34, -h - 2*v + 4 = f. What is the smallest common multiple of 20 and h? 40 Let b = -610 - -6153/10. What is the common denominator of b and 69/10? 10 What is the common denominator of -85/6 and 2 - (-4 - -3) - 28? 6 Calculate the common denominator of -149/18 and 2/(-3) - (-370)/(-12). 18 Suppose 0 = -5*i + 3*i + 28. Suppose -4*t + 6*b - b = -36, -4*t + 4 = 3*b. Calculate the lowest common multiple of i and t. 28 Let k(i) = -4*i. Let b be k(-1). Suppose 0 = -b*m + a - 25, -6 - 23 = 4*m - 5*a. What is the least common multiple of 2/m - (-93)/9 and 8? 40 Suppose -4*l + 4*g + 14 = l, -2*l + 16 = g. What is the least common multiple of 6*((-30)/9 + 4) and ((-48)/(-9) - 2)*l? 20 Let i(c) = -c - 5 - c - 4*c. Calculate the common denominator of i(5) and 73/10. 10 Let d be 3 + 3 + (-40)/(-2). Let x = d + -4. What is the least common multiple of 16 and x? 176 Let b(c) be the first derivative of c**4/4 + 13*c**3/3 + 6*c**2 + 4*c + 1. Let a = -15 - -3. What is the lowest common multiple of b(a) and 14? 28 Let u be (3 - 1) + (-44463)/24. Suppose 0 = 5*a - 2*t - 9319, 4*a - 3*t + 1262 = 8720. Let x = u + a. Find the common denominator of x and 44/3. 24 Let c = 1299/7 + -185. Find the common denominator of c and 56/15. 105 Calculate the common denominator of 246/(-8)*(6 + (-34)/6) and 1/2. 4 Find the common denominator of -57/2 and (-125)/(-20)*2/(-3). 6 Let g = 2243 - 5064. Let a = 33701/12 + g. Let i = 42/83 - 4321/830. Find the common denominator of i and a. 60 Let u(q) = -q**2 - 6*q - 4. Suppose 0*w + w + 5 = 0, -5*w = 4*a + 73. Let j be (-3)/(2 - (-15)/a). What is the least common multiple of 14 and u(j)? 28 Suppose -3*n - 2 = -n, n + 11 = 2*h. What is the common denominator of ((-9)/h)/(2/5) and -1/6? 6 Suppose 5*d - 41 = -m + 8, 4*m + 5*d = 121. Suppose -m = x - 4*x. Calculate the least common multiple of x and 10. 40 Let k = 280/79 + 2651/790. What is the common denominator of (-186)/(-8)*8/(-27) and k? 90 What is the least common multiple of 7 and (-26)/117 - 479/(-9)? 371 Let h = 61229/12 + -5111. Let m = -248697/20 + 12438. What is the common denominator of m and h? 60 Let h = 6914 - 96879/14. Find the common denominator of h and ((-6)/(-14))/((-12)/63). 28 Suppose -538 = -5*c - 0*v - v, 3*v = -4*c + 426. What is the lowest common multiple of 5 and c? 540 Suppose 5*f = 15, f - 3*f = 2*i - 138. Suppose h = -h, -3*b = -h - i. What is the lowest common multiple of b and (-51)/(-5) - 4/20? 110 Calculate the common denominator of (-10)/25 - 1161/660 and 27/8. 88 Let d(u) = u**3 - 10*u**2 + 10*u - 12. Let o be d(9). Let n = o + 3. What is the lowest common multiple of 20 + (-2 + 3)*n and 16? 80 Let f be 2 + 1 + 53505/(-17833). Let b = f + 12376144/124831. Let h = -1718/21 + b. What is the common denominator of 31/3 and h? 3 Let b = -1447113/215990 - 2/21599. What is the common denominator of b and 61/18? 90 Let o = -131 + 241. Let g = o + -73. Suppose 2*m = g - 1. Calculate the lowest common multiple of m and 18. 18 Let r = -22 - -29. Calculate the least common multiple of 1 and r. 7 Let r(j) = -171*j - 1. Let c be r(-1). Suppose 2*k - o - 74 = 0, 0*k + 5*k + 5*o - c = 0. Calculate the common denominator of (k/(-16))/((-2)/(-18)) and -25/6. 12 Let o = 563/532 - -1/76. Find the common denominator of 49/2 and o. 14 Find the common denominator of (-46)/24 + 16/(-12) and 62/3. 12 Suppose -27*v + 26*v = -9. Calculate the least common multiple of 5 and v. 45 Let k(c) be the first derivative of -c**2/2 + 6*c - 1. Let d(b) = -b + 5. Calculate the least common multiple of k(0) and d(-5). 30 What is the least common multipl
{ "pile_set_name": "DM Mathematics" }
Let l = 2834 - 2829.7128. What is l rounded to one decimal place? 4.3 Let s = -1.169312907 + 1.1693. Round s to 6 decimal places. -0.000013 Let n = 12883 - -3655. Suppose -3*i + 2*y + n = -0*i, 8 = 4*y. Suppose -21894 = 6*g - i. What is g rounded to the nearest one hundred? -2700 Let o = -1776.1 - 577.9. Let t = -2353.9997679 - o. What is t rounded to five dps? 0.00023 Let l = -171 - -99. Let d = l + 0. Let i = d - -147. Round i to the nearest 10. 80 Let b = -0.02596414 - -0.027293. Round b to 4 dps. 0.0013 Let r be (-1)/(-7) + 11780/4123. Let i(u) = 6 + u - 5*u - u - 14999*u**2. Let t be i(r). Round t to the nearest 10000. -140000 Let r = 207 + -209.1. Let a = r + 2.1436. Round a to two decimal places. 0.04 Let h = 10207 + -10207.099728. Round h to two decimal places. -0.1 Suppose -20561673 - 19474359 = -4*y + 4*r, 0 = y - 3*r - 10009024. What is y rounded to the nearest 1000000? 10000000 Let v = -3331 - -3331.00012812. Round v to 6 decimal places. 0.000128 Let f = 7131.7 - 6649. Let j = -482.7004243 + f. Round j to 5 decimal places. -0.00042 Let t = 202639.70797 - 202266.7. Let p = t - 373. What is p rounded to three decimal places? 0.008 Suppose 10*h = -2*a - 5424004, -5*a + a = 3*h + 1627208. What is h rounded to the nearest 100000? -500000 Suppose 3*l - 4*m - 20666 = 0, 20671 = -3*l + 6*l + m. Round l to the nearest one thousand. 7000 Let v be (-1463766)/(-57) - (15 + 5094/(-342)). Round v to the nearest ten thousand. 30000 Let s = -29.54549 + -0.02451. Let x = 29 + s. What is x rounded to the nearest integer? -1 Let b = -138 + 47. Let r = 165 + b. Let s = -74.000000376 + r. What is s rounded to seven decimal places? -0.0000004 Let x = 0.15265 + -0.4969. Round x to 2 dps. -0.34 Let i = -7377.009518 + 7377. What is i rounded to four dps? -0.0095 Let z = 1103 + -543. Let w = 559.99724 - z. Round w to three dps. -0.003 Let n = -294.979159519 + -0.020172481. Let s = 295 + n. What is s rounded to 4 decimal places? 0.0007 Let m = -7314.19 - -7653. Round m to the nearest 10. 340 Let h be (2 - 1)/(3 - 4). Let j be 38315 + (-1 - (h + -1)). Let d = 21816 - j. Round d to the nearest one thousand. -17000 Let o = 113.388 - -0.612. Let x = 122.82 - o. Round x to the nearest integer. 9 Let o = -294376.192889 + 294376. Let m = 1.41 - 1.603. Let r = o - m. Round r to 5 decimal places. 0.00011 Let d = 1.627 + -1.6. Let w = 1095093 + -1095092.97299804. Let b = d - w. What is b rounded to six decimal places? -0.000002 Let m = 0.66067 + 0.18393. Round m to two decimal places. 0.84 Let w = -250.4287 + 0.4287. Let f = 176616 - 176866.582. Let k = f - w. What is k rounded to 2 dps? -0.58 Suppose 171*u = -77*u + 468731 + 1479557. Round u to the nearest 100. 7900 Let k = 1.1461 - 1.146113304. What is k rounded to seven decimal places? -0.0000133 Let v(r) = 3*r**2 + 2*r + 23900. Let w(x) = x**3 - 21*x**2 - 23*x + 22. Let p be w(22). Let t be v(p). Round t to the nearest one thousand. 24000 Let i = -214069.1246 + -1214237918.8754. Let a = 1214451993.99999891 + i. Let t = -6 + a. Round t to seven dps. -0.0000011 Let q = -983 + 1447. Let w = q - 464.00602. Round w to four decimal places. -0.006 Let r = -489 - -488.703. Let g = r - -0.707. What is g rounded to zero dps? 0 Suppose 2*o = 3*b - 5, 0*b = 3*b - 4*o - 1. Suppose 576 = -2*i - j + 1735, b*j = -3. What is i rounded to the nearest one thousand? 1000 Let l = 16892108127.99999983 - 16892108055. Let u = -73 + l. What is u rounded to seven decimal places? -0.0000002 Let g(t) = -t**3 - 13*t + 6. Let w be g(-20). Let f = 2666 - w. Round f to the nearest one hundred. -5600 Let h = 398 + -398.2056. Let u = 0.207 + h. Round u to 3 dps. 0.001 Suppose 0 = -4*v - 47 - 25. Let q be ((-1)/(-3))/((-1)/v). Suppose 2*n = q*n - 3920000. What is n rounded to the nearest 100000? 1000000 Let t = -0.22515 - 0.94352. What is t rounded to two decimal places? -1.17 Let j = -21856347.000035 + 21856223. Let s = j - -124. Round s to 6 decimal places. -0.000035 Let w = 0.7177 - 0.68. Let m = w + -0.1126. What is m rounded to three decimal places? -0.075 Suppose 0*l + l + 112195 = 0. Let y be (-4)/(8/10)*42839/(-1). Let v = y + l. What is v rounded to the nearest 10000? 100000 Let w = -236 - -237.25. Let a = w + -1.248202. What is a rounded to four dps? 0.0018 Suppose -15 + 12 = 3*p, 0 = x - 5*p + 4666295. Round x to the nearest 100000. -4700000 Let a(k) = 30386*k + 2588. Let r be a(4). What is r rounded to the nearest ten thousand? 120000 Suppose u = -2*w + 31123, 0 = 3*u - 4*w + 20887 - 114266. Suppose 0 = -0*l + l - 5, 0 = -5*c - 5*l - u. What is c rounded to the nearest 100? -6200 Let g = -0.0081518 - -0.00993. Round g to five decimal places. 0.00178 Let l = 278.1 - 129.7. Let g = 219.82 - l. What is g rounded to the nearest ten? 70 Let h = 19.11712125 + -19.117. Round h to 4 decimal places. 0.0001 Let g(s) = 684*s - 692*s - 2669*s**2 + 0 - 1105*s**2 - 5. Let p be g(4). Let f = 30721 + p. Round f to the nearest 10000. -30000 Suppose -5*b - 20813125 = -3*z, 3*z = -572*b + 576*b + 20813120. What is z rounded to the nearest one million? 7000000 Let t = 311.4 + -59.4. Let r = t + -727. Let v = r + 438.7. Round v to the nearest integer. -36 Let m = 0.007498 + 146.931502. Let r = m - 147. Let y = 0.0777 + r. What is y rounded to 2 dps? 0.02 Suppose 0 = 4*n - n + 15, 0 = -3*a - n + 1864912. Suppose 3*f - a = 197361. Round f to the nearest 10000. 270000 Let q = -342.9 + -1089.8. What is q rounded to the nearest one thousand? -1000 Let p = 0.17 - -166.83. Let h = -91.4 + p. What is h rounded to the nearest 10? 80 Suppose 3*g + 2*x + 8 = 0, 7*x + 8 = -5*g + 5*x. Suppose g = -t + 5*t + 3840000. What is t rounded to the nearest 10000? -960000 Let x = 1.065915 - 1.0506. Round x to 3 decimal places. 0.015 Let f = -0.278 + -0.004. Let r = 19065.582 - 19101. Let u = r + f. What is u rounded to the nearest integer? -36 Let h = 458 - 948. Let w = h - -478.85. Round w to 0 dps. -11 Let o = 408609249709391703745.9999996 + -408609250028974012258. Let i = o - -319582307620. Let a = 892 + i. What is a rounded to seven dps? -0.0000004 Let x = 1665762.623 - 1666264.6230455. Let l = 502 + x. What is l rounded to five decimal places? -0.00005 Let k = -315 + 312. Let g = k + 6.5. Round g to the nearest ten. 0 Let s = 115866360 - 115866361.24095698. Let l = s + 1.241. What is l rounded to five decimal places? 0.00004 Suppose 3*l = n - 444003, 11*n + 6 = 13*n. What is l rounded to the nearest 10000? -150000 Let n = -511.60000156145 + 511.6. Round n to seven decimal places. -0.0000016 Let q = 0.037208 - -0.220722. Round q to 2 decimal places. 0.26 Let g = -50.5 - -41. Let o = g + -38. What is o rounded to the nearest 10? -50 Let a = 11082 - 11064.446. Round a to one dp. 17.6 Let o = 46.145 - 46. Let f = 42473884 + -42473883.855000695. Let c = o - f. What is c rounded to 7 dps? 0.0000007 Let x = -0.1 - -0.6. Let k = -16117486.49999955 - -16117486. Let b = k + x. What is b rounded to seven decimal places? 0.0000005 Let p be ((-21)/(-1))/(6/4). Let m(t) = t**3 + 3*t**2 - 14*t + 34720000. Let w be m(0). Suppose p*g = 6*g - w. Round g to the nearest 1000000. -4000000 Let f = 0.3558313 + -0.294201. Let p = f + -0.0616. What is p rounded to 6 dps? 0.00003 Let i = -32 - -51. Let x = i - -5.5. Let d = x - 23. What is d rounded to the nearest integer? 2 Let d(k) be the third derivative of k**4/8 - 13*k**3/6 - 4*k**2. Let m be d(6). Suppose -11585 = -m*r + 6415. Round r to the nearest 1000. 4000 Let s be (-2)/(-19) + (-786)/(-114). Suppose s*m - 2*m - 5405 = i, -4*m - 5396 = i. What is i rounded to the nearest 100? -5400 Let g = 47 - 23. Let r = g + -22.6. Let f = r - 0.99. What is f rounded to 1 dp? 0.4 Let b(q) = -6*q**2 + 32*q + 273. Let t be b(-6). Suppose 4*d - 375 = -43. Let m = t + d. Round m to the nearest ten. -50 Let b be (-128)/3*(-59)/(3658/(-42315)). What is b rounded to the nearest 100? -29100 Let m = -233 + 251. Let s = 1.5 - 17.1. Let y = m + s. What is y rounded to the nearest integer? 2 Let s = -224 - -819. Let w = s - 595.0003696. What is w rounded to five dps? -0.00037 Let o(d) = d**2 - 8*d + 16. Let p be o(4). Suppose p = -20*x + 209727 - 45727. What is x rounded to the nearest one thousand? 8000 Let y be (3 - (-30)/(-6))*-2. Suppose 0 = h + y*j + 3300
{ "pile_set_name": "DM Mathematics" }
s 6745/14 at least as big as 482? False Which is smaller: 261372 or 261369? 261369 Which is smaller: 4991 or 4997? 4991 Which is greater: 4/13235 or -1? 4/13235 Which is smaller: 7/14722 or 0? 0 Which is greater: 167308 or 167306? 167308 Which is smaller: -119369 or -119368? -119369 Is -1655 less than or equal to -145? True Is 0 <= -6/177565? False Is 5786 less than or equal to -23? False Which is smaller: -1 or 3/15839? -1 Which is greater: -17165 or -17168? -17165 Which is smaller: 2120 or 1667? 1667 Is -2819 not equal to -1131? True Is 0.2 < 14/11327? False Which is bigger: -3985 or 0? 0 Do 0 and -177/1385 have different values? True Is -1682 equal to -1723? False Which is smaller: 1022 or 0.9? 0.9 Which is smaller: 660 or 223? 223 Which is smaller: 20754 or -7? -7 Which is smaller: -53609 or -53617? -53617 Which is smaller: -8689 or -8693? -8693 Is -42/3589 bigger than 1? False Which is greater: 451015 or 451017? 451017 Which is smaller: -1724 or -13801/8? -13801/8 Which is smaller: 89631 or 89623? 89623 Are 2847 and 1 unequal? True Do -114264 and -114264 have the same value? True Which is smaller: -108 or -345? -345 Which is bigger: 781151 or 781149? 781151 Which is smaller: -2144 or -2261? -2261 Is 10768 greater than 10773? False Is -42030 less than -41978? True Do -173 and 337 have the same value? False Is 4/23185 less than -1? False Do 1357 and 50 have the same value? False Which is greater: 210978 or 210984? 210984 Is -1 smaller than 113/109651? True Is 1559 bigger than 48336/31? False Which is greater: 2017 or 2015? 2017 Is -5623 greater than 37? False Which is smaller: 4/135 or 95/2? 4/135 Is -4 at least as big as -2037/23? True Which is greater: -30 or 8005? 8005 Are -43 and -7448/169 unequal? True Which is smaller: 77525 or 77533? 77525 Which is smaller: 0.12895 or 6? 0.12895 Which is smaller: -370334 or -370333? -370334 Which is bigger: 2529 or 2542? 2542 Is -8 at least -12390? True Which is smaller: -132 or -263? -263 Which is bigger: 6121 or 6116? 6121 Which is smaller: 6/934565 or 1? 6/934565 Is -30025/47 != -1? True Is 2/49 at least -5273? True Is 45091 less than 4? False Do 366 and -0.506 have the same value? False Is 18234/317 greater than 59? False Is -0.01 equal to -6.469? False Is 20784 > 20784? False Which is smaller: 147.978 or -4? -4 Are 2189275 and 2189273 unequal? True Which is smaller: -2716 or -2616? -2716 Which is greater: 2/31 or -9566? 2/31 Do 1/197 and 0.0433 have different values? True Is 10984 > 10987? False Which is smaller: 16 or 276/19? 276/19 Which is greater: -1392 or 38? 38 Which is greater: 1 or 14/1152675? 1 Is 3/307396 smaller than 0? False Which is greater: 159 or -311? 159 Which is smaller: 1429133 or 1429131? 1429131 Which is smaller: -18373 or -18374? -18374 Which is smaller: 6 or -1019? -1019 Which is greater: 10468 or -13? 10468 Is 0.1 equal to 2.854317? False Is 10/79791 less than or equal to 0? False Is -989 >= 68? False Do -11/331 and -5/12 have different values? True Is 7845 at most -3? False Which is smaller: -1330885 or -1330883? -1330885 Is 1209 at most 753? False Is -120580 bigger than -120581? True Which is bigger: -1 or -1/4197677? -1/4197677 Is -121258 at least -121260? True Is -9537 at least as big as -1/6? False Which is bigger: -2/7 or 21780.5? 21780.5 Is 53277 > 53277? False Is 271/242 not equal to 2? True Is -76816 equal to -76823? False Which is greater: 2 or 320867? 320867 Which is smaller: -23 or 24492? -23 Are -551/7 and 1447 equal? False Which is greater: 6/2865049 or 0? 6/2865049 Is -205 greater than -32? False Which is bigger: 132519 or 132514? 132519 Does 0.518834 = 2/3? False Is -26541 bigger than -106163/4? False Which is smaller: -1/260 or 3? -1/260 Which is bigger: 144265 or 1586916/11? 1586916/11 Which is greater: 605908 or 605906? 605908 Which is smaller: -503.7 or 0.07? -503.7 Which is smaller: -1 or -14/9099? -1 Which is smaller: -90649 or -90647? -90649 Which is smaller: 1 or -284769? -284769 Do 4820 and 4821 have the same value? False Which is bigger: 2069 or 2091? 2091 Which is smaller: -406743 or -406745? -406745 Is -1 > 17/1025887? False Which is smaller: 548 or 14834/27? 548 Which is greater: -96202 or -7? -7 Which is smaller: -0.17051 or 2? -0.17051 Is 446 not equal to 149? True Which is bigger: -0.7 or 27/742? 27/742 Is -906 bigger than 282? False Does -2/7 = 186.5? False Which is smaller: -110858/35 or -3167? -110858/35 Is -2 > -1008495? True Does -14/9341 = 0? False Is 2155749 greater than or equal to 2155749? True Which is greater: 84 or 106.7? 106.7 Which is smaller: 4025 or 3987? 3987 Which is greater: -97335/2 or -48668? -97335/2 Which is smaller: -170357 or -170356? -170357 Which is smaller: -46 or -91? -91 Is -347 smaller than -479? False Is 599/2 less than or equal to 1.6? False Is 6 != 856/141? True Which is bigger: -23184 or -23178? -23178 Does 72382 = 72385? False Is 29674 <= -0.13? False Is 6166 at least as big as 1/3? True Are 499 and -0.345 non-equal? True Are -12893 and -12893 nonequal? False Do -3394 and -3408 have different values? True Is 4211 >= 4468? False Which is smaller: -2 or -1562/1123? -2 Which is greater: 59/2535 or -0.2? 59/2535 Which is greater: -8402 or -285653/34? -285653/34 Is 19415/3 at least as big as 6472? False Is 36 != 541? True Which is bigger: -2.3 or -5733? -2.3 Is -178816 at least -178816? True Is 355007 at least 355005? True Which is greater: 374 or -467/3? 374 Is -389393/9 != -43266? True Is 52205 at most as big as 52208? True Are -252 and 447 non-equal? True Is -1405/21 <= -27? True Which is smaller: -6773 or -6771? -6773 Is -1/6604 greater than -11? True Is -3780/41 less than or equal to -91? True Which is smaller: 527 or 125242/237? 527 Is 11/22853 bigger than 1? False Which is smaller: -2325/17 or -136? -2325/17 Is 67/1384 less than or equal to 1? True Which is smaller: 0.2 or -539421? -539421 Which is bigger: -1707 or -1502? -1502 Is 13441 < 13438? False Is 94/11 <= 687? True Which is bigger: -14936 or 7? 7 Is 388245 at least as big as -1/2? True Do -4 and -62616 have the same value? False Is -225/6517 at least as big as -1? True Is 251078 <= 251078? True Is -7168 < -258/7? True Is 11 at most as big as 307/34? False Is -91050 less than or equal to -91056? False Which is greater: 1 or -1960/10417? 1 Is -4626 <= -4624? True Which is smaller: 27961 or 27984? 27961 Is 990771 smaller than -0.1? False Is 14618363 less than 14618363? False Which is bigger: -4 or 18406? 18406 Is 2/25 greater than 6529? False Are -156996 and -156995 non-equal? True Is 1389152 equal to -1/2? False Is 0.165 at most -3865? False Is 1614/305 greater than or equal to 4? True Which is bigger: 1 or 572/35927? 1 Which is greater: -72968 or 2? 2 Are 48/167 and 599 unequal? True Which is greater: 4793 or 81496/17? 81496/17 Which is greater: 59.705 or 0.8? 59.705 Do -327/8 and 152/15 have the same value? False Which is smaller: 340 or -10/31? -10/31 Is 201 greater than -2577? True Is -1 greater than -1/151865? False Is -2/12149 smaller than 41? True Which is smaller: -3624662 or -3624660? -3624662 Is -4140062 less than or equal to -4140060? True Is -6778 > -6704? False Which is smaller: 67 or -19? -19 Does 1568 = -73.5? False Which is smaller: -130/11309 or -1? -1 Which is greater: -53 or -0.17? -0.17 Is -58222 < -58220? True Is 41842/11 equal to 3804? False Does -14/10701 = 0? False Which is smaller: -1 or -798.78? -798.78 Which is smaller: -13 or -63649? -63649 Which is smaller: -1232283 or -1232284? -1232284 Which is bigger: 56894 or 56898? 56898 Is 3 at least as big as -4663? True Which is greater: -0.095534 or 0.3? 0.3 Is 1 < -2306.3? False Is -109288 bigger than -109288? False Which is smaller: 1 or 10/11269? 10/11269 Is -935 bigger than -86/3? False Is 0 <= 251/988? True Are 27153 and -0.3 unequal? True Is -23 greater than -2528/105? True Is 180 <= -300? False Which is smaller: 1831 or 1824? 1824 Do -447271 and -447272 have different values? True Which is bigger: -3423 or -3419? -3419 Is -279 equal to 513? False Do -5/973 and -61 have the same value? False Is 23/5746 at least as big as 0? True Does 5535 = 5537? False Is 13 != -2222? True Which is bigger: 4695 or 4492? 4695 Is -2 >= -103.479? True Is 0.01 < 6.458? True Is 0 greater
{ "pile_set_name": "DM Mathematics" }
e of y(h). Find t, given that o(t) = 0. -2, 0, 2 Suppose -63*w + 59*w = -12. Find l such that 12*l**2 + 17 - w*l**3 - 33 - l**3 = 0. -1, 2 Let s(z) = -76*z + 894. Let j be s(12). Let n(h) = -3*h + 4*h + 0*h. Let o(l) = 3*l**2 + 16*l - 6. Let c(x) = j*n(x) + 2*o(x). Suppose c(w) = 0. What is w? -3, 2/3 Let h(r) = -95*r**2 - 727*r - 709. Let c(i) = 82*i**2 + 726*i + 710. Let m(t) = -7*c(t) - 6*h(t). Factor m(b). -4*(b + 1)*(b + 179) Let n(l) be the first derivative of -7*l**2 - 3/8*l**4 + 46 - 4*l**3 + 0*l + 1/10*l**5. Factor n(p). p*(p - 7)*(p + 2)**2/2 Factor 663*h**2 + 891*h - 2*h**4 + 220 + 298*h**3 + 1151*h - 1381*h - 75*h**3 + 3*h**4. (h + 1)**3*(h + 220) Suppose 6*l + 54 = 15*l. Suppose -6 = -4*p + l. Suppose -p*v**2 + 491 + 0*v + 0*v - 492 - 3*v - v**3 = 0. Calculate v. -1 Suppose -3*f + 183 - 151 = u, 2*f = 5*u + 10. What is j in -7/3*j**u + 1/3 - 2*j = 0? -1, 1/7 Let w = 57 + -54. What is i in 38*i**2 + 2*i**w - 10*i - 8*i**3 - 2*i - 10*i**3 - 10*i**4 = 0? -3, 0, 2/5, 1 Let j(r) be the first derivative of -r**4/4 + 7*r**3/3 + 14*r**2 + 20*r + 2282. What is l in j(l) = 0? -2, -1, 10 Let i(d) be the second derivative of -d**5/36 + 83*d**4/72 + 17*d**3/9 - 111*d**2/2 - 190*d. Let u(s) be the first derivative of i(s). What is y in u(y) = 0? -2/5, 17 Let m(f) be the second derivative of -f**6/165 + 111*f**5/55 - 1079*f**4/6 - 16724*f**3/11 - 51076*f**2/11 - 135*f - 1. Factor m(n). -2*(n - 113)**2*(n + 2)**2/11 Solve -18/5*g**2 + 0 + 26/5*g**3 - 8/5*g = 0 for g. -4/13, 0, 1 Suppose 176862 = 50*j - 44*j. Factor 2*d**3 + 0*d - 4 + 29477*d**2 - 6*d - j*d**2. 2*(d - 2)*(d + 1)**2 Factor 157/2*l - 159 + 1/2*l**2. (l - 2)*(l + 159)/2 Let h(x) be the third derivative of 1/42*x**7 - 12*x**2 + 0*x**3 - 5/4*x**4 - 1/4*x**6 + 0 + 0*x + 11/12*x**5. Determine o so that h(o) = 0. 0, 1, 2, 3 Let w = -8055 + 5686. Let p = 9537/4 + w. Let -9 - 7/2*j**3 - 1/4*j**4 - p*j**2 - 21*j = 0. Calculate j. -6, -1 Factor -480 - 424 + 1364*p - 12*p**2 - 263*p**3 + 0*p**4 + 4*p**4 + 258*p**3 - 447*p**3. 4*(p - 113)*(p - 1)**2*(p + 2) Let r be (3 + 0 - -29)*183/488*2/8. Determine x so that -1/7*x**r - 6/7*x**2 + 0 + 0*x = 0. -6, 0 Suppose -i = -14*i + 52. Suppose 5*w = -5*l + 20, -4*w - 6*l + 10 = -8*l. Factor 3/2*q**i + 0*q**2 + q**w + 0 + 1/2*q**5 + 0*q. q**3*(q + 1)*(q + 2)/2 Let y(u) be the first derivative of 7/9*u**3 + 5/3*u**2 - 166 + 0*u + 1/12*u**4. Factor y(z). z*(z + 2)*(z + 5)/3 Let h be 2/4*(-12)/(-3). Suppose 4*f = 5*o - 23, -h*o + 2 = 2*f - 0. Factor a + o*a**2 + 3*a + a**2 + 4*a**4 - 8*a**2 - 4*a**3. 4*a*(a - 1)**2*(a + 1) Let t(b) = -3*b**3 - 102*b**2 + b + 36. Let f be t(-34). Let q(a) be the second derivative of 0*a**f + 2/3*a**4 + 3*a - 1/2*a**3 + 0. Solve q(d) = 0 for d. 0, 3/8 Let o(g) be the third derivative of -g**8/6720 - g**7/560 - 5*g**5/2 - 79*g**2. Let c(u) be the third derivative of o(u). Factor c(a). -3*a*(a + 3) Let -1661*l**2 + 815*l**2 + 824*l**2 - 10*l**3 - 4*l**3 - 3*l**3 = 0. Calculate l. -22/17, 0 Let m(c) = -21*c**4 - 7*c**3 + 127*c**2 - 635*c - 758. Let z(n) = -4*n**4 - 2*n**3 - n**2 + n + 2. Let a(h) = m(h) - 5*z(h). Let a(u) = 0. Calculate u. -12, -1, 8 Let r = 4429 - 57511/13. Let b be ((-76)/(-494))/((-4)/26)*(-42)/39. Determine v so that 16/13 - b*v**4 + 24/13*v + r*v**3 - 92/13*v**2 = 0. -2/7, 1, 2 Let y(i) be the second derivative of -7*i**4/40 - 31*i**3/15 + 3*i**2/5 + 1032*i. Find g, given that y(g) = 0. -6, 2/21 Let b be 4698/1512*(-2)/(-9). Let g(j) be the second derivative of 0 + b*j**4 - 1/21*j**3 + 5*j + 2/5*j**5 - 2/7*j**2. Solve g(u) = 0. -1, -2/7, 1/4 Factor 14959673344/9 + 6071296/3*d + 1/9*d**3 + 2464/3*d**2. (d + 2464)**3/9 Suppose -1101*q + 20 = -1100*q. Let j be (4/15)/(q/30). Determine l so that 8/5*l**2 + 2*l + j = 0. -1, -1/4 Let j be -4*(12 + -29)*(-1)/(-4). Let t(u) be the first derivative of 0*u + 1/2*u**4 - 4*u**3 + j + 9*u**2. Let t(q) = 0. What is q? 0, 3 Let p = -1038537 + 5193309/5. Factor -444/5*w**2 - 66/5*w**3 - p + 2/5*w**4 - 184*w. 2*(w - 39)*(w + 2)**3/5 Let g be 1959/(-21735) + (120/(-138))/(-10). Let v = 13/126 + g. What is m in 8/5 + 0*m**2 + 8/5*m - 2/5*m**3 - v*m**4 = 0? -2, 2 Suppose 2*n = 3*l + 76, 29*l = 32*l + 3*n + 66. Let r be 16396/72 - (-4)/l. Suppose 12*i + 256*i**3 + 0 + 96*i**2 + r*i**4 = 0. Calculate i. -3/8, 0 Factor 24/11*z**4 + 72/11*z**3 + 64/11*z**2 + 2/11*z**5 + 0 + 0*z. 2*z**2*(z + 2)**2*(z + 8)/11 Suppose -2841*d = -2833*d. Let j(r) be the first derivative of 17 + 0*r**2 - 1/8*r**4 + d*r + 1/3*r**3. Factor j(x). -x**2*(x - 2)/2 Let j = -97197 + 97201. Let x(l) = l**3 + 3*l**2 + 3*l + 2. Let v be x(-2). Factor 3/2 + v*k**3 + 0*k - 3*k**2 + 3/2*k**j. 3*(k - 1)**2*(k + 1)**2/2 Let s = -34/1245 + 48691/4980. Factor -9/2*n**4 - 3/4*n**5 - 9*n**2 + 0 - 3*n - s*n**3. -3*n*(n + 1)**2*(n + 2)**2/4 Let n(u) = 43*u**2 - 2*u - 3. Let j be n(-1). Let p be (-2 + 4/3)/((-4)/j). Factor -5 + p + 5 + 5*h + 3 - 5*h**2. -5*(h - 2)*(h + 1) Suppose 29 + 9 = 19*y. Let r(s) = 6*s**3 - 29*s**2 + 59*s - 43. Let f(i) = 2*i**3 - 10*i**2 + 20*i - 14. Let q(x) = y*r(x) - 7*f(x). Let q(g) = 0. What is g? 1, 2, 3 Let k = -3507 - -3507. Let g(q) be the third derivative of -1/6*q**3 + 1/20*q**5 - 1/12*q**4 + 8*q**2 + k + 0*q. Determine l so that g(l) = 0. -1/3, 1 Suppose 112*f + 15 = 109*f. Let l be (-3444)/(-35) - (-2)/f. Factor -97*o**4 + o**5 + l*o**4 + 0*o**5. o**4*(o + 1) Let i(p) be the third derivative of 7*p**8/3456 + p**7/27 + 8*p**6/27 + p**5/30 + 35*p**3/3 - 121*p**2. Let c(l) be the third derivative of i(l). Factor c(g). 5*(7*g + 16)**2/6 Let u(p) = 15*p**2 - 12080*p. Let b(x) = 2*x**2 - 1727*x. Let a(h) = 20*b(h) - 3*u(h). Factor a(y). -5*y*(y - 340) Let y(r) be the first derivative of -r**5/180 + r**4/8 + 19*r**2 + 67. Let j(o) be the second derivative of y(o). Determine w so that j(w) = 0. 0, 9 Let i = 12475/49894 + -3/99788. Let b = -2 - -4. Find y such that 0 - i*y**b - 1/2*y = 0. -2, 0 Factor 4/3*z**2 + 2709316/3 - 6584/3*z. 4*(z - 823)**2/3 Let s(a) be the third derivative of 0*a + 9*a**2 - 1/60*a**5 - 11/24*a**4 - 6 + 2*a**3. Factor s(v). -(v - 1)*(v + 12) Let h be -8 + 6/540*1311 - (-37)/74. Determine o, given that 18/5 - 2/15*o**3 + 10/3*o**2 + h*o = 0. -1, 27 Let w = 367 - 364. Suppose 8*o - 5*o = w, -3*d - 5*o = -23. Factor -18 - 1/2*b**2 + d*b. -(b - 6)**2/2 Find r, given that -282*r**2 + 452*r - 14/3*r**3 - 496/3 = 0. -62, 4/7, 1 Let x(c) be the third derivative of c**5/70 - 31*c**4/28 + 30*c**3/7 + c**2 + 24*c. Suppose x(u) = 0. Calculate u. 1, 30 Let j(r) be the third derivative of 0*r**4 - 4/5*r**5 + 1/224*r**8 + 0 + 3/70*r**7 + 0*r + 46*r**2 + 0*r**6 + 0*r**3. Factor j(g). 3*g**2*(g - 2)*(g + 4)**2/2 Let d(g) be the first derivative of -g**5/50 - 17*g**4/40 + 23*g**3/5 - 1781. Determine a so that d(a) = 0. -23, 0, 6 Let n = -61 + 34. Let a = n + 55. Suppose a*i**3 - 224*i + 6*i**2 - 2*i**4 - 72*i**2 + 235 - 363 = 0. What is i? -1, 8 Let o(z) be the first derivative of -12 + 9*z + 7/3*z**3 + 15/2*z**2 + 1/4*z**4. Find n such that o(n) = 0. -3, -1 Let j be (-2574)/2002 + (-87)/(-21). Solve -24/7*c**2 + j*c - 2/7*c**4 - 6/7 + 12/7*c**3 = 0 for c. 1, 3 Suppose 0 = 2*b + 3*j + 17, 6*b + 43 = -4*j + 27. Let u be (0/(-1))/(-1 + -1). Factor 0 + u*s - 1/6*s**4 + 0*s**3 + 1/6*s**b. -s**2*(s - 1)*(s + 1)/6 Let r(u) = u - 22. Let i be r(25). Suppose 2*g - 16 = -3*w, 0*w + 2*g = -5*w + 24. Determine s so that -15*s**2 + 12*s**w + 0*s**i + 3 + 9/2*s - 9/2*s**5 = 0. -1, -1/3, 1, 2 Suppose 0 = -2*z - 16 - 14. Let b be 12/(-24)*36/z. Factor -b*a + 33/5*a**2 + 0 - 27/5*a**3. -3*a*(a - 1)*(9*a - 2)/5 Let y be (-84 - -92) + 359/(-40) + 1. Let s(w) be the second derivative of -9/80*w**5 - 3/4*w**2 + 0 + y*w**6 + 3/8*w**3 + w + 1/16*w**4. Factor s(k). 3*(k - 2)*(k - 1)**2*(k + 1)/4 Let f(m) be the first derivative of -m**3/3 + 695*m**2/2 - 703. Find k such that f(k) = 0. 0, 695 Suppose 4*a - j = 10, -2*a - j + 20 - 18 = 0. Solve 7*d - 30 - 5*d + 30*d - 2*d**a = 0 for d. 1, 15 Let r(g) = g**2 + 60*g - 1477. Let d be r(19). Let x(z) be the first derivative of -4*z**2 - d + 2*z - 3/2*z**3. Factor x(j). -(j + 2)*(9*j - 2)/2 Let j(x) be the first derivative of 4*x**5 - 125*x**4/4 + 70*x**3 - 45*x**2/2 - 765. Suppose j(l) = 0. Calculate l. 0, 1/4, 3 Let z be ((-19)/5)/(474 + -493). Factor -7/5 +
{ "pile_set_name": "DM Mathematics" }
st the prime factors of 5873. 7, 839 List the prime factors of 3291. 3, 1097 What are the prime factors of 10697? 19, 563 List the prime factors of 5544. 2, 3, 7, 11 What are the prime factors of 1229? 1229 List the prime factors of 41131. 41131 List the prime factors of 1730. 2, 5, 173 What are the prime factors of 2106? 2, 3, 13 What are the prime factors of 9081? 3, 1009 List the prime factors of 331. 331 List the prime factors of 8146. 2, 4073 List the prime factors of 1642. 2, 821 What are the prime factors of 4785? 3, 5, 11, 29 What are the prime factors of 173627? 23, 7549 List the prime factors of 6696. 2, 3, 31 What are the prime factors of 4741? 11, 431 What are the prime factors of 93319? 93319 List the prime factors of 9405. 3, 5, 11, 19 List the prime factors of 18831. 3, 6277 What are the prime factors of 1366? 2, 683 What are the prime factors of 14633? 14633 What are the prime factors of 3803? 3803 List the prime factors of 9787. 9787 List the prime factors of 12509. 7, 1787 List the prime factors of 128782. 2, 19, 3389 What are the prime factors of 6695? 5, 13, 103 What are the prime factors of 67992? 2, 3, 2833 What are the prime factors of 8791? 59, 149 What are the prime factors of 725? 5, 29 List the prime factors of 33424. 2, 2089 List the prime factors of 1233. 3, 137 What are the prime factors of 5842? 2, 23, 127 What are the prime factors of 2091? 3, 17, 41 What are the prime factors of 9901? 9901 What are the prime factors of 27675? 3, 5, 41 What are the prime factors of 15? 3, 5 List the prime factors of 30125. 5, 241 What are the prime factors of 97532? 2, 37, 659 List the prime factors of 2483. 13, 191 What are the prime factors of 122443? 122443 List the prime factors of 1847. 1847 List the prime factors of 17407. 13, 103 What are the prime factors of 89190? 2, 3, 5, 991 What are the prime factors of 19797? 3, 6599 List the prime factors of 646. 2, 17, 19 List the prime factors of 1270. 2, 5, 127 List the prime factors of 8914. 2, 4457 List the prime factors of 2946. 2, 3, 491 What are the prime factors of 1446? 2, 3, 241 What are the prime factors of 1516? 2, 379 What are the prime factors of 134930? 2, 5, 103, 131 What are the prime factors of 1519? 7, 31 What are the prime factors of 1497? 3, 499 List the prime factors of 344. 2, 43 What are the prime factors of 100? 2, 5 What are the prime factors of 14090? 2, 5, 1409 What are the prime factors of 68? 2, 17 List the prime factors of 10388. 2, 7, 53 List the prime factors of 7561. 7561 What are the prime factors of 2785? 5, 557 What are the prime factors of 6517? 7, 19 What are the prime factors of 60107? 60107 List the prime factors of 56325. 3, 5, 751 What are the prime factors of 21815? 5, 4363 List the prime factors of 51921. 3, 641 What are the prime factors of 15? 3, 5 What are the prime factors of 272? 2, 17 List the prime factors of 4251. 3, 13, 109 List the prime factors of 15476. 2, 53, 73 List the prime factors of 18715. 5, 19, 197 What are the prime factors of 1667? 1667 List the prime factors of 1876. 2, 7, 67 List the prime factors of 24933. 3, 8311 What are the prime factors of 2093? 7, 13, 23 What are the prime factors of 2470? 2, 5, 13, 19 What are the prime factors of 1345? 5, 269 What are the prime factors of 49? 7 What are the prime factors of 19086? 2, 3, 3181 List the prime factors of 21290. 2, 5, 2129 What are the prime factors of 150200? 2, 5, 751 What are the prime factors of 27292? 2, 6823 List the prime factors of 10569. 3, 13, 271 List the prime factors of 1414. 2, 7, 101 What are the prime factors of 3395? 5, 7, 97 What are the prime factors of 571? 571 List the prime factors of 10412. 2, 19, 137 What are the prime factors of 6156? 2, 3, 19 List the prime factors of 33002. 2, 29, 569 List the prime factors of 225. 3, 5 What are the prime factors of 48517? 7, 29, 239 List the prime factors of 12928. 2, 101 What are the prime factors of 2926? 2, 7, 11, 19 What are the prime factors of 10949? 10949 List the prime factors of 1439. 1439 What are the prime factors of 4776? 2, 3, 199 What are the prime factors of 2311? 2311 List the prime factors of 220. 2, 5, 11 List the prime factors of 74782. 2, 139, 269 List the prime factors of 33360. 2, 3, 5, 139 List the prime factors of 29013. 3, 19, 509 List the prime factors of 64. 2 List the prime factors of 45567. 3, 61, 83 What are the prime factors of 219? 3, 73 What are the prime factors of 8247? 3, 2749 What are the prime factors of 26868? 2, 3, 2239 What are the prime factors of 20188? 2, 7, 103 List the prime factors of 15458. 2, 59, 131 What are the prime factors of 11567? 43, 269 List the prime factors of 9071. 47, 193 What are the prime factors of 5975? 5, 239 List the prime factors of 214. 2, 107 What are the prime factors of 88147? 181, 487 List the prime factors of 8542. 2, 4271 What are the prime factors of 3144? 2, 3, 131 List the prime factors of 17468. 2, 11, 397 List the prime factors of 21269. 21269 List the prime factors of 100669. 100669 What are the prime factors of 836? 2, 11, 19 What are the prime factors of 578? 2, 17 List the prime factors of 80. 2, 5 List the prime factors of 11980. 2, 5, 599 What are the prime factors of 19591? 11, 13, 137 What are the prime factors of 71724? 2, 3, 43, 139 List the prime factors of 439. 439 List the prime factors of 18575. 5, 743 What are the prime factors of 2884? 2, 7, 103 List the prime factors of 18272. 2, 571 List the prime factors of 3717. 3, 7, 59 What are the prime factors of 75178? 2, 37589 List the prime factors of 21187. 21187 What are the prime factors of 43555? 5, 31, 281 What are the prime factors of 765? 3, 5, 17 List the prime factors of 4538. 2, 2269 What are the prime factors of 19127? 31, 617 What are the prime factors of 3515? 5, 19, 37 List the prime factors of 3931. 3931 What are the prime factors of 55126? 2, 43, 641 List the prime factors of 64090. 2, 5, 13, 17, 29 List the prime factors of 1920. 2, 3, 5 List the prime factors of 4438. 2, 7, 317 What are the prime factors of 552? 2, 3, 23 What are the prime factors of 59? 59 List the prime factors of 2796. 2, 3, 233 What are the prime factors of 16500? 2, 3, 5, 11 What are the prime factors of 1810? 2, 5, 181 List the prime factors of 2948. 2, 11, 67 List the prime factors of 149350. 2, 5, 29, 103 What are the prime factors of 6314? 2, 7, 11, 41 List the prime factors of 11412. 2, 3, 317 What are the prime factors of 58305? 3, 5, 13, 23 What are the prime factors of 669? 3, 223 What are the prime factors of 637? 7, 13 List the prime factors of 50038. 2, 127, 197 List the prime factors of 3892. 2, 7, 139 List the prime factors of 203429. 203429 What are the prime factors of 1127? 7, 23 What are the prime factors of 5591? 5591 List the prime factors of 5370. 2, 3, 5, 179 What are the prime factors of 57766? 2, 17, 1699 What are the prime factors of 332? 2, 83 List the prime factors of 1320. 2, 3, 5, 11 List the prime factors of 12360. 2, 3, 5, 103 What are the prime factors of 911? 911 What are the prime factors of 875? 5, 7 List the prime factors of 16007. 16007 List the prime factors of 4173. 3, 13, 107 What are the prime factors of 20680? 2, 5, 11, 47 What are the prime factors of 1563? 3, 521 What are the prime factors of 336? 2, 3, 7 List the prime factors of 66207. 3, 29, 761 List the prime factors of 3397. 43, 79 List the prime factors of 7649. 7649 List the prime factors of 1044. 2, 3, 29 What are the prime factors of 17856? 2, 3, 31 What are the prime factors of 488? 2, 61 List the prime factors of 57579. 3, 17, 1129 List the prime factors of 2877. 3, 7, 137 List the prime factors of 1432. 2, 179 What are the prime factors of 30905? 5, 7, 883 List the prime factors of 2193. 3, 17, 43 List the prime factors of 149955. 3, 5, 13, 769 List the prime factors of 124223. 11, 23, 491 What are the prime factors of 1176? 2, 3, 7 List the prime factors of 6572. 2, 31, 53 What are the prime factors of 9372? 2, 3, 11, 71 What are the prime factors of 22111? 22111 What are the prime factors of 1699? 1699 What are the prime factors of 440? 2, 5, 11 What are the prime factors of 11047? 11047 What are the prime factors of 1332? 2, 3, 37 List the prime factors of 333
{ "pile_set_name": "DM Mathematics" }
True Is 2516771 composite? False Is 47827433 composite? True Is 8460701 composite? False Is 6785341 prime? True Is 288776309 a composite number? False Is 62425679 composite? True Is 230935477 a composite number? True Is 10694807 composite? False Is 510311 prime? True Is 61600807 a prime number? False Is 171211 a prime number? False Is 5641997 a composite number? False Is 2798038 a prime number? False Is 3967423 composite? True Is 40479031 a composite number? False Is 52932071 composite? False Is 2653555 a prime number? False Is 3070633 composite? True Is 22443139 composite? False Is 12736487 composite? False Is 1658302 a composite number? True Is 401610478 a composite number? True Is 3928553 composite? False Is 112369511 a composite number? False Is 13119305 composite? True Is 31471043 prime? True Is 81830171 prime? True Is 73222991 a prime number? True Is 70953303 a composite number? True Is 97012549 composite? False Is 5391017 a composite number? False Is 6025549 a prime number? True Is 2141123 a composite number? False Is 357915893 a composite number? False Is 3418634 composite? True Is 9189287 composite? True Is 572106047 a composite number? False Is 1737959 a prime number? True Is 82266911 a prime number? True Is 45932333 a composite number? False Is 1668493 prime? False Is 20504531 prime? False Is 3228839 a prime number? False Is 33523559 a prime number? False Is 3537517 a composite number? False Is 1773381 a composite number? True Is 6288141 prime? False Is 499123043 composite? True Is 254985991 a composite number? True Is 4952887 a composite number? False Is 5930917 a prime number? True Is 15752794 composite? True Is 183083629 composite? False Is 4997273 a prime number? True Is 733379 a composite number? True Is 2091580171 a composite number? False Is 5722779 composite? True Is 2747883 prime? False Is 1605719 a prime number? True Is 52157851 a composite number? False Is 3180971 a composite number? False Is 189577279 composite? 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False Is 4880713 composite? False Is 4938007 composite? True Is 27562237 prime? False Is 90895547 prime? True Is 1986497 composite? False Is 5521451 composite? True Is 13501903 a prime number? False Is 21782567 prime? False Is 31625447 prime? False Is 754513 prime? True Is 33484103 prime? True Is 349093246 a composite number? True Is 37314787 a prime number? True Is 93327149 a composite number? True Is 889101959 a prime number? True Is 1072567 a composite number? True Is 20663449 a composite number? True Is 23057819 a prime number? True Is 745907 a prime number? False Is 271494599 a prime number? False Is 86447039 prime? False Is 18334531 a prime number? True Is 18042391 prime? False Is 8890753 a prime number? False Is 536863 a prime number? False Is 1271471 a composite number? False Is 147721069 a composite number? False Is 13852781 composite? False Is 143052983 a prime number? True Is 238852619 composite? False Is 135219857 prime? True Is 149350259 a prime number? True Is 9982715 a composite number? True Is 276069811 composite? False Is 10857631 a composite number? False Is 5349489 a prime number? False Is 8307499 composite? True Is 8580151 composite? False Is 499781 a prime number? True Is 893359 prime? True Is 1057033 a prime number? True Is 170108837 prime? True Is 90847255 a composite number? True Is 163925903 prime? True Is 503497 a composite number? True Is 22472039 prime? True Is 79762573 a composite number? True Is 1832749 prime? False Is 121796299 prime? True Is 4213249 a composite number? True Is 26645849 composite? False Is 128362843 a composite number? True Is 2234959 prime? True Is 14119471 prime? True Is 1262013 a composite number? True Is 3575267 prime? False Is 431099 composite? False Is 20035343 a composite number? True Is 11026439 composite? False Is 598807219 prime? False Is 14202899 composite? True Is 2040949 a prime number? False Is 103629081 composite? True Is 109376533 a prime number? False Is 2299691 a prime number? False Is 84348519 a prime number? False Is 5610191 a prime number? True Is 77063401 a prime number? False Is 9331237 prime? False Is 584677 a composite number? False Is 7679531 a composite number? True Is 4425919 composite? False Is 17246667 a composite number? True Is 582307 a prime number? False Is 26366881 prime? False Is 121568933 composite? False Is 39412679 a composite number? False Is 31293013 a prime number? True Is 18393601 a prime number? False Is 1436527 a composite number? False Is 125537209 a prime number? False Is 364526557 prime? False Is 190527227 a composite number? True Is 141587 a composite number? False Is 275633851 a prime number? False Is 23481629 a prime number? False Is 200823751 prime? True Is 351727 a composite number? False Is 28737383 composite? True Is 301980149 a composite number? True Is 157116677 a prime number? True Is 29352667 a prime number? True Is 282985 composite? True Is 296001119 a prime number? False Is 30773237 a prime number? False Is 5080043 a composite number? False Is 25301 a prime number? True Is 8647567 composite? False Is 2532115 prime? False Is 649347295 a composite number? True Is 10763042 a composite number? True Is 233170361 composite? True Is 1839121 a composite number? False Is 34296953 composite? True Is 15138686 a prime number? False Is 208924413 prime? False Is 21402323 a composite number? False Is 11572949 composite? False Is 936129 a prime number? False Is 91166159 a prime number? False Is 5675869 a prime number? True Is 28944517 composite? True Is 11116867 prime? False Is 14329753 prime? True Is 4125673 a composite number? False Is 2214449 a composite number? True Is 412908599 a composite number? True Is 100742707 composite? True Is 103589467 composite? False Is 35701691 a composite number? False Is 5385533 prime? False Is 1207337 a prime number? False Is 18426055 a prime number? False Is 4001507 a composite number? True Is 716381 a prime number? False Is 227942941 a composite number? False Is 1153381 a composite number? True Is 1087349 a prime number? True Is 20010517 composite? False Is 109822157 a composite number? False Is 12620483 composite? False Is 426205547 prime? False Is 121974469 a composite number? False Is 573887 prime? True Is 1889086 prime? False Is 161576237 a prime nu
{ "pile_set_name": "DM Mathematics" }
n h, c, 2/19? 2/19 Let z = 43.6547 - -0.0453. Let x = -43.8 + z. Which is the nearest to x? (a) 7 (b) 1/3 (c) 1/12 c Let k be 56/(-64)*(-16)/28. Suppose 2 = -4*t - 2*g, -3*g = -6*t + 2*t - 27. What is the nearest to -0.2 in t, -1, k? k Let o = -27978 + 27977.6. Let t = 0.05 - 2.05. Which is the closest to -1? (a) o (b) 1.1 (c) t a Let m = -155 + 89. Let j = 66 + m. Let h = 2 + j. What is the closest to 1/4 in -4, h, 5? h Let q = 1 + -3. Let u be 20/(-35) + 4/7. Suppose u = 3*z + 12 - 0. What is the closest to 0.1 in 1, z, q? 1 Let k = 236 + -260. Let o be k/(-4) - (-116)/(-18). Which is the closest to -1/3? (a) o (b) -30 (c) 5 a Suppose -524*m + 192*m = 1362*m - 81312. Let x = -3.03 + 0.03. Which is the nearest to x? (a) 0.5 (b) m (c) 2/7 c Let n = -2849.1 - -2849.343. What is the nearest to -0.4 in 3, 0, n? 0 Let r = -1/80 + 177/1360. Let n be (-7)/8 + 1 - 171/152. Let s be 5 + -4 + n - -1. Which is the nearest to s? (a) -2 (b) r (c) 0.5 c Let q(i) = i**2. Let w(x) = 20 - 15*x - 22*x + 14*x - 22*x. Let u(j) = 2*q(j) - w(j). Let o be u(-23). Which is the nearest to -1/3? (a) -1/3 (b) o (c) 0.1 a Let w = 0.65 + -1.58. Let o = 1.26 + w. Let b = -1.33 + o. What is the closest to 6 in -5/6, 4, b? 4 Let s(h) be the first derivative of 2*h**3/3 + h**2 - 35*h - 48. Let q be s(-5). Which is the closest to 1/4? (a) -0.5 (b) -5 (c) q a Let x = -0.5568 - -0.0568. What is the nearest to 0.1 in x, 7, 0.1, 4? 0.1 Suppose x + 239 = 5*k - 21, -2*k + 116 = 2*x. Suppose k*r = 48*r. What is the nearest to r in 2/5, -43, 1/6? 1/6 Let l be (-2)/(-8) + (-44)/432. Let j = l + 14/27. Let d = -26/773 - -903/3865. Which is the closest to j? (a) -2/19 (b) 5/2 (c) d c Let h = 163967/10 - 16397. Which is the nearest to h? (a) -0.5 (b) -1/5 (c) 0.2 b Let w = -0.1 + 0. Let h be 10098/(-11934) + (-4)/26. Let r = -3.7 - -4. What is the nearest to h in w, -1, r? -1 Let t = -150 + 145. Let h = 5 - 2. Let l(i) = i**3 + 13*i**2 - 5*i - 54. Let x be l(-13). Which is the nearest to x? (a) t (b) -3 (c) h c Let z(t) = -18*t + 34. Let p be z(4). Let g = p + 39. What is the nearest to 0 in g, -1/7, -0.03? -0.03 Let r = 259/30 - 44/5. Let n = 154 + -155. What is the nearest to -0.1 in r, -21, n? r Let x = 0.45013 + -0.35013. Let t = -8.71 + 5.72. Let q = -0.01 + t. Which is the nearest to 1/12? (a) x (b) 1 (c) q a Let k = -12/5 + 99/35. Let y(i) = i + 3. Let b be y(-2). What is the nearest to b in k, -4, -6? k Let u = -0.3 - 0.2. Let w = -0.0995582 - 0.9004418. Which is the nearest to -7? (a) u (b) -4 (c) w (d) -9 d Let x be 9/1*(12/(-33) - 638/(-1089)). What is the nearest to -1/6 in x, -0.4, 179, 4? -0.4 Let y = 646.2 - 646. What is the nearest to -2/35 in 1/4, 6, -4, y? y Let g = 14093.1 - 14093. Let n = 13 - 13. Which is the closest to g? (a) -1/2 (b) -1.7 (c) n (d) -3 c Let r(h) = -7*h - 16 + 14*h - 6. Let i be r(4). Suppose v + 9 = -q, -3*q = -v - q + i. Which is the closest to 0? (a) 0.5 (b) v (c) -5 a Let c(i) = -i**3 + 24*i**2 - 29*i + 135. Let f be c(23). What is the closest to 2/7 in -1, f, -1/7, -37? -1/7 Let q = 124.9 + -125.1. Which is the nearest to q? (a) 3/2 (b) -0.2 (c) 5 b Let f(u) = -u**3 - 3*u**2 + 4*u - 8. Let w be f(-5). Let d(i) = -i + 18. Let j be d(w). What is the closest to -0.1 in 4, -3/4, j? -3/4 Let v = -158 - -44. Let z = v + 114.04. Which is the closest to 1? (a) z (b) 2 (c) 2/7 (d) 1 d Let z = -7549 - -7557. What is the nearest to 1 in 0, z, -2? 0 Let p be (10/(-35))/((-24)/70). Let n = p - 23/42. Let a = -31/2 + 213/14. What is the nearest to -2 in a, n, 4? a Let p = -19.5 - -20.5. What is the nearest to -2/7 in -3, p, -27? p Let f be ((-6)/9)/(4/(-6)). Let y = 82 + -24. Let x = -58.06 + y. Which is the nearest to f? (a) x (b) 3 (c) 2 c Let t = -0.20294 - -0.00294. Let s be (0 - 2/5)*-1. What is the closest to t in 1, s, 4/5? s Let t be 2/(-4) + 2/(-2) + (-71 - -71). What is the closest to -1 in -4/7, -0.07, t, -0.1? -4/7 Let b = -31 + 158/5. Let j = 22 + -27. Let f(t) = t**3 - t**2 - 7*t + 4. Let x be f(3). What is the nearest to x in b, 0, j? b Let s = -5.08728 - -0.08728. Let f = 10.9 + 0.1. Which is the nearest to -0.1? (a) -2 (b) f (c) s a Let k = -3 - -2.924. Let g = k - 17.924. Let h = 15 + g. What is the nearest to h in -0.3, -5, 4? -5 Suppose -7*k - 12 = -8*k. Suppose -k + 0 = -3*m. Let x be 2/m*6/(-15). Which is the nearest to 7? (a) 2/5 (b) x (c) 5 c Let h be (0 - (2 + -3))/3. Let p = -1884830/393 - -4796. Let i = -174/131 + p. What is the closest to h in i, -6/11, -2/7? -2/7 Let d = -8031 + 8057. Which is the nearest to -1/2? (a) -1/10 (b) d (c) 2/11 a Let o = 12.59 + -7.59. Which is the nearest to 2? (a) -5 (b) -1/3 (c) -2/47 (d) o c Let t = -1064 + 1061. Which is the nearest to 0? (a) 0.2 (b) 2.1 (c) t a Let a = -12224.8 + 12225. What is the closest to a in -5, -2/5, 0.48? 0.48 Let m(f) = -4*f + 5. Suppose -4*z = -2*k - 12, 9*z = 10*z + k. Let n be m(z). Let t = -0.02 - -0.52. Which is the nearest to -0.2? (a) t (b) n (c) 0.4 c Let m = -0.17 + 0.87. Let y = m + -0.7. Let u = 2457 + -2453. What is the nearest to y in 11, u, -1? -1 Let r = 30.69 + -28.69. What is the closest to 1 in -1, -3, -7/6, r? r Let q = -16790.09 + 16790. What is the nearest to q in 1, 5/6, -14/5? 5/6 Let y = -1748.2 - -1748.4. Let t = 0.1 - 0.1. What is the nearest to 2 in t, 1/10, y? y Let j(r) = -6*r**2 + 667*r + 1253. Let i be j(113). Let c = -1 + 0.8. What is the closest to -1/4 in c, 0.4, i? c Let m = 17897 + -17897. Let n = -0.3 - -0.5. What is the closest to n in 3, m, 0.13? 0.13 Let v = -356.93 - -359. Let z = v - 0.07. Let j = 5.03 - 0.03. What is the nearest to -0.1 in z, j, -4? z Let q = -6 + -3. Let d = q + 4. Let n be 4*2/(-8)*(-12 - (-22)/2). Which is the closest to 3? (a) 0 (b) n (c) d b Suppose 0 = 16*t - 32*t - 10*t - 468. Which is the nearest to -0.2? (a) 3/7 (b) t (c) 3/11 c Let z = 1834.936 - 1835. Which is the closest to -0.1? (a) 5 (b) 1/4 (c) z (d) 2/3 c Let z = -0.23 - -0.08. Let v = z - -0.35. Let h be (54/(-315))/((-2)/(-5)). Which is the closest to -1/7? (a) h (b) v (c) 4 a Let f be (-55)/(-11)*3*(-2)/(-15). Let q = -4 - -4.4. Let v be (4/104)/((-1)/4). What is the closest to v in f, -4, q? q Let c = -52.99 - 78.01. What is the closest to 1 in -5, -2/5, 1, c? 1 Let j = 83/196 - -16/49. Let u = -0.212 + 0.112. What is the closest to 1 in u, j, -0.03? j Let c = 2042 - 2041.9. What is the nearest to c in -0.2, -2/19, 1/7? 1/7 Let o be 4/(-16)*3*8/(-21). Which is the closest to o? (a) -0.1 (b) -0.086 (c) 2/5 c Suppose 2*y - 8 = -0*f + 4*f, -f = -2*y + 8. Which is the nearest to 0.09? (a) -2/5 (b) -2 (c) y a Let m = -2 + 3. Let f be (-17)/15 - 48/240. Which is the closest to 0? (a) -19 (b) m (c) f b Let q = -14.5 - -12. Let v = 2 + q. Let b be ((0 + 1)*(167 - 167))/(-3). What is the nearest to b in -2/3, 1/4, v? 1/4 Let i = 47.259 + -0.459. Let r = 46.7 - i. Which is the nearest to r? (a) -2/19 (b) 6 (c) 1/3 a Let n = 6105 + -6109. Which is the closest to 2? (a) -2/13 (b) 4 (c) n (d) 157 b Let v = 7100/873 + -56/97. Let w = v + -766/99. Let l be 6*(1 + (-65)/45)*1. Which is the closest to l? (a) w (b) -1 (c) 3/7 b Let x be (-65)/78 + (1707/72 - -4). Let a = x + -1083/40. What is the nearest to 0.2 in -12, 2/5, a? 2/5 Let r = 0.397 + 0.007. Let h = -0.056 - r. Let y = 0.86 + h. Which is the nearest to -1? (a) y (b) 5 (c) -2/3 c Let g = -2927/5 + 585. Let y be (-10)/(-12) + 9/(-27). Which is the nearest to -1/3? (a) 15 (b) 0.2 (c) y (d) g d Let g = -6.472 - -8.472. What is the closest to -0.5 in 3, g, -5, 1/11? 1/11 Let r be 8/9 - 1804/4059. What is the nearest to -2/75 in 3/2, 0.5, r? r Let p = -3919 + 27435/7. Which is the nearest to 0.04? (a) p (b) -2 (c) -4 (d) -4/3 a Let o = 544 - 356. Let t = -1319/7 + o. Which is the nearest to 0? (a) -4/5 (b) -0.09 (c) t b Suppose -10*v - 452 = -14*v. Let f = 109 - v. What is the nearest to -1/4 in 2, -11, f? 2 Let t be 99/(-21) + 5 - (-8322)/1890. Let i = -41/9 + t. Which is the nearest to 1? (a) 2 (b) -2/5 (c) -2 (d) i d Let f = 0.8 + -3.8. Let d = 4.1804 - 7.2804. Which is the closest to -1? (a) f (b) d (c) -0.4 c Let r be -17*1*(-6 - -4)*(-15)/(-10). Which is the closest to
{ "pile_set_name": "DM Mathematics" }
e Let s(i) = i**2 + i - 6. Let l be s(-3). Let w(n) = 5*n**2 - 7*n + 37. Let u(h) = 3*h**2 - 4*h + 18. Let m(z) = -7*u(z) + 4*w(z). Does 22 divide m(l)? True Let g = -23 + 64. Suppose 3*m + 5*p + 41 = 3*p, -2*m + 4*p - 54 = 0. Let d = m + g. Does 8 divide d? True Let j = 20 - 28. Let k = j - -11. Suppose w - 53 = -k. Is 25 a factor of w? True Let y = -1 + 3. Let l(j) = 2*j - 15 + j - 20*j**y - j**3 + 31*j**2. Is l(11) a multiple of 9? True Let m(x) = -x**3 + 3*x**2 + 4*x + 3. Let a be m(4). Does 9 divide 100 + -1 + -3 + a/1? True Let h = 319 - 192. Is 5 a factor of h? False Suppose 3*l + 3*m + 0 = -15, 0 = 5*l + m + 5. Suppose 4*q - 8*q + 368 = l. Is q a multiple of 23? True Let z = 24 - -30. Let d be 3/(-6) - (-692)/8. Let m = d - z. Is 16 a factor of m? True Suppose 5*h - 183 = -3*z + 3059, 5*h = -4*z + 3246. Is h a multiple of 38? True Let n = 23 - 17. Suppose 0*z + 12 = n*z. Suppose y = 18 + z. Is 20 a factor of y? True Suppose k - 273 = -5*m + 990, -k - 2 = 0. Is m a multiple of 17? False Let l = 378 - 223. Is l a multiple of 4? False Let l = -1309 - -1789. Is 24 a factor of l? True Let j be 1*((4 - -2) + 3). Suppose 0 = -4*y + j*y - 20. Suppose 3*g - y*q - 11 = 2*g, -g + 43 = 4*q. Is 8 a factor of g? False Let a = -212 + 1732. Is 76 a factor of a? True Suppose -2*w - 36 = 2*j, 0 = 3*w + j + 14 + 40. Let k = -16 - w. Suppose k*y = 19 + 85. Is y a multiple of 13? True Let f = -489 - -762. Is 21 a factor of f? True Let u(q) = 5*q**2 - 3*q + 22. Does 33 divide u(5)? True Let j be (-9)/6*(-32)/(-12). Is 22 a factor of (11/(-4))/(j/64)? True Let c be 6/(7/2 + -2). Let b(v) = v**3 - 5*v**2 + 2*v + 8. Let h be b(4). Suppose -3*j = 4*t - 62, c*j - t - 108 = -h*j. Is 10 a factor of j? False Let c(j) = j**2 + 28*j - 43. Is c(6) a multiple of 21? False Let k(h) = -h**2 + 7*h - 9. Let n be k(6). Does 16 divide (-3)/(297/(-96) - n)? True Suppose -5*r + 4*k + 7 = -21, -2*r - 5*k - 2 = 0. Suppose -r*z + 6 = -4*b + 18, 3 = b + 5*z. Let u(d) = 6*d**2 - 2*d - 4. Is 22 a factor of u(b)? True Let g(n) = -27*n - 86. Is g(-10) a multiple of 28? False Let z(j) = 12*j - 9*j**2 + 11*j**2 + 4 - 1. Does 10 divide z(-9)? False Does 114 divide 5006*(-2)/(-4) - -5? True Let b(z) = 8*z**2 + 20*z + 2. Does 6 divide b(4)? True Let o(a) = -22*a**2 - 4*a - 3. Let u be o(-2). Let c be u - (0 - (2 + 0)). Let n = c + 119. Is n a multiple of 11? False Let o(u) = -3*u - 1. Let r(b) = 2*b. Let w(j) = 2*o(j) + 2*r(j). Let q = -335 - -328. Does 6 divide w(q)? True Let j(r) be the third derivative of -r**4/6 - 4*r**3/3 + 5*r**2. Let n be j(9). Is n/33*9/(-2) a multiple of 6? True Suppose -10*l + 3178 = -17562. Is 93 a factor of l? False Let l = -11 - -14. Suppose p + 5*n = -11, -l*p + 26 = 2*p - 2*n. Suppose p*f = 4*c - 116 + 20, -5*c + 130 = 5*f. Does 8 divide c? False Suppose -2*r + q - 5*q - 8 = 0, -2*r - 8 = -4*q. Does 14 divide (-12)/r + 1*94? False Let f(u) = -6*u**2 - 3*u - 2. Let m(j) = -6*j**2 - 4*j - 3. Let o(l) = -3*f(l) + 2*m(l). Does 13 divide o(2)? True Let h = 746 + -138. Is 32 a factor of h? True Let c be (56/(-21))/((-6)/9). Suppose 510 = -c*b + 9*b. Is b a multiple of 24? False Suppose -z - 4*v = 4*z + 126, 0 = -5*z + v - 131. Let u = z + 29. Does 2 divide u? False Is 51 a factor of 4/11 - 302652/(-308)? False Suppose -r = 4*l - 11, 4*r - 5*l = 1 + 1. Is (-33)/(((-1)/2)/(1/r)) a multiple of 22? True Suppose 2*z - 3 - 241 = 5*f, f = 2*z - 228. Suppose -y - 2*y + 5*q = -80, -4*y + 4*q + z = 0. Suppose 0 = 4*g - 174 + y. Is g a multiple of 9? True Suppose 8*l = 15*l + 70. Let u be ((-32)/(-10))/((-3)/(-30)). Let h = u - l. Is h a multiple of 21? True Let f(b) = b**2 + 15*b + 4. Let v be f(-15). Suppose 3*i = v*i - 112. Does 28 divide i? True Suppose -5*f - 5*p + 35 = 0, -p + 2*p - 19 = -4*f. Suppose 4*z + f*n = 20, 0*n - 5*n - 5 = -5*z. Does 7 divide z*5/(10/14)? True Suppose 191 = 3*k - 46. Suppose 4*h - k - 81 = 0. Does 14 divide h? False Is (-10)/(-30)*-2*13671/(-6) a multiple of 28? False Suppose -5*w - 5*r = -25 - 0, -w = 5*r - 13. Suppose 15 = 6*i - w*i. Suppose 0 = -4*d + i*d - 6. Is d a multiple of 3? True Let i(t) = t**2 + 12. Does 9 divide i(0)? False Suppose 4*v = 3*v + 2. Let t be (-210)/v*(-4)/10. Suppose 6*d = 3*d + t. Is 14 a factor of d? True Let h(v) = -14*v - 49. Is h(-7) a multiple of 7? True Let x = 379 - -125. Is x a multiple of 14? True Let v = 3 - -6. Let k be -12*(-4 - (-33)/v). Suppose 0 = -k*t + 54 + 74. Does 10 divide t? False Suppose 0 = -b - 55 + 58, c - 20 = -2*b. Is 14 a factor of c? True Let i(v) = 10*v + 4. Suppose -6*c = -7*c + 3. Let r be i(c). Suppose 4*q = -l + 90, 2*l - 7*l = -2*q + r. Is 8 a factor of q? False Suppose 5*m + 210 = -0*m + 5*z, 3*m - 5*z = -136. Let s = 65 - m. Is 10 a factor of s? False Suppose -600 = -15*g + 11*g. Does 25 divide g? True Let z = 157 + -127. Is 6 a factor of z? True Suppose -11*m - 12 = -13*m. Does 11 divide (-56)/m*(405/(-10))/9? False Let f(c) be the first derivative of -c**4/4 - 13*c**3/3 + 5*c**2 + c - 8. Let j = -40 + 26. Does 29 divide f(j)? False Let h(u) = -u**2 - 25*u + 8. Let j be h(-25). Suppose -z = 3*z - 4*r - 120, -4*r = -z + 24. Let a = z - j. Does 7 divide a? False Let u(g) = -5*g**2 + 177*g - 11. Is 19 a factor of u(35)? False Let z(i) = -206*i - 20. Is 73 a factor of z(-5)? False Suppose 3*z - 5942 = 5*i - 1070, 0 = -5*z + 4*i + 8120. Is z a multiple of 56? True Let m(q) = q**2 + 5*q - 8. Let b(d) = -23*d**2 + 3*d - 2. Let f be b(1). Let g = 9 + f. Does 32 divide m(g)? True Suppose 31032 = 102*q - 11502. Does 138 divide q? False Suppose 5*a - 3638 = -863. Suppose 6*l = l + a. Is l a multiple of 27? False Suppose 3*t - 16 = 2*g, 0 - 16 = -t - 2*g. Is (918/(-36))/((-6)/t) a multiple of 17? True Let m = 6 - 1. Suppose 0 = -m*z + 80. Suppose -w + z = -3. Does 18 divide w? False Suppose 2 + 8 = 5*p. Suppose -72 = -0*i - p*i. Does 4 divide i? True Let u = -911 + 1997. Does 6 divide u? True Let r(t) = 2*t**2 + 11*t - 83. Is 16 a factor of r(14)? False Suppose i = 5*m - 3447, -m + 946 - 250 = 2*i. Does 30 divide m? True Let f(y) = 6*y**2 + 10*y - 8. Let l be 56/9 + 32/(-144). Is f(l) a multiple of 17? False Let p be (2*28/(-4))/((-2)/17). Suppose 63 = 2*s - 0*s - 5*r, -4*s = -3*r - p. Is 20 a factor of s? False Let j = -87 + 129. Let m = 93 - j. Is 9 a factor of m? False Suppose -2*i = -0*i. Suppose 4*r - 5*r = i. Suppose -2*w = -r*w - 172. Is 22 a factor of w? False Let l(c) = -c + 6. Let m be l(7). Let n = 5 + m. Suppose n*o = 7*o - 144. Does 16 divide o? True Let u = -50 + 116. Is u a multiple of 66? True Let o(q) = -2*q - 13*q - 3 - 2*q - 15. Let r be o(-12). Does 13 divide r/14 + 22/(-77)? True Suppose 0*y = -2*y - 18. Let a be (-348)/y - 4/6. Suppose x = -14 + a. Is x a multiple of 12? True Let v(d) = d**2 + d. Let m be v(-1). Suppose 2*a - 117 = s, m = -4*s + 7 + 5. Suppose -4*x = 8 - a. Is x a multiple of 3? False Suppose 3*h = -4*l - 218 - 151, 2*l - 5*h + 165 = 0. Let x = l + 235. Is 9 a factor of x? False Let j(p) = p**2 + 2*p + 3. Let r be j(-2). Suppose 4*i + 0*i + d = 21, 5*i = -r*d + 21. Is i a multiple of 6? True Let r = 14 + -13. Suppose -2*b + 3*v = -101 - 30, r = -v. Suppose 3*m - b = -m. Does 8 divide m? True Suppose -1 = -2*d + 1. Suppose -2*k = -39 + 9. Is k*((-26)/(-10) + d) a multiple of 14? False Let g = 583 + -369. Does 10 divide g? False Let o be (-18)/(-117) + (-100)/(-26). Let b(l) = -o + l**3 - 2*l**2 + l**2 - 2*l**2. Is 12 a factor of b(4)? True Let q(x) = -4*x**2 - 2*x + 2. Let a be q(1). Is 2/a + 2123/22 a multiple of 12? True Let w be 7 - 9/(-3) - 3. Let u = -7 + w. Suppose -3*y + 3*z = -0*y - 39, u = 3*y + 4*z - 18. Is 5 a factor of y? True Suppose 21 = -4*w + 1, 7 = 3*o + w. Let z(m) = -m**3 + 8*m**2 - 5*m - 4. Does 20 divide z(o)? True Let o be (-2)/(-2) + (3 - 4). Let x be 336/(-180) - 2/15. Is 21 a factor of (7 - x)*(7 - o)? True Let d(u) = -u + 19. Let y be 1*13*(-3 + 4). Let f be d(y). Let i = f - -34. Is 5 a factor of i? True Let b = 45 + -62. Let i be (-14)/((-10)/8 - -1). Let v = i + b. Is 13 a factor of v? True Suppose 58*x + y = 61*x - 34, 5*y - 28 = -3*x. Suppose 3*w - 2*w - 1 = 0. Let s = x - w. Does 5 divide s? True Suppose a - 6 = -a. Suppose -4*g - 225 = -5*q, q - a*g - 90 = -q. Let f = q - -7. Is 13 a factor of f? True Let s(a) = a*
{ "pile_set_name": "DM Mathematics" }
m be y(d). Solve -m = -5*r - 27 for r. -4 Let v be 12 - (-4)/(16/12). Solve v = -k + 12 for k. -3 Suppose 0 = -140*r + 139*r. Solve -k - 4*k - 5 = r for k. -1 Suppose -20 = -5*k - 0. Let b be 3/3 - (-1 + 1). Let c be 9 - 5 - 2*b. Solve -k*l - c = 2 for l. -1 Suppose 0*i + 30 = i. Suppose 0*c - i = -3*c. Solve -4*b - c = -26 for b. 4 Suppose 4*r + 7 = 23. Suppose 2*h = -h - 12, -r = -2*u - h. Solve u*b - 12 = 4 for b. 4 Suppose -18 = 51*k - 57*k. Solve -16 = k*y - 7*y for y. 4 Suppose -3*w + 22 = w + 5*x, -4 = -4*w + 4*x. Solve -w*p = p for p. 0 Let m(l) be the third derivative of 0*l + 0 + 1/24*l**4 - 4*l**2 - 5/6*l**3. Let u be m(6). Solve 0 = d - 2*d + u for d. 1 Let d(g) = g + 21. Let r be d(-18). Solve -v - r*v - 4 = 0 for v. -1 Let o(w) be the third derivative of -w**5/60 - w**4/4 + w**3/3 + 3*w**2. Let b be o(-6). Solve -15 = 3*f + b*f for f. -3 Let s = 100 + -98. Solve -s*l - 2 = -6 for l. 2 Suppose 7*c + 5 = 8*c. Solve -c*q = -6 - 4 for q. 2 Suppose -6*w + 3*w = 0. Solve -5*y + 4*y + 4 = w for y. 4 Let y(z) = -z**3 - 8*z**2 + 5*z - 16. Let w be y(-9). Solve 2*m + 3*m = -w for m. -4 Let k(v) = -v + 2. Let m be k(5). Let j = 11 + m. Solve -d = -3*d - j for d. -4 Let o be (-1 - -24)/((-2)/(-4)). Let v be o/14 - (-4)/(-14). Solve -2 = -v*n + 1 for n. 1 Suppose -u - 3*i + 11 = -0*u, -7 = -5*u + i. Suppose u*m = m + 1. Let g = m - -3. Solve p = -g*p for p. 0 Let u(a) be the second derivative of -a**3/3 - 3*a**2/2 - 7*a. Let p be u(-3). Solve 1 = p*r + 16 for r. -5 Suppose 2*g - 12 = -d, 9 = 2*d - 2*g + g. Solve 0 = -3*u - 0 + d for u. 2 Suppose -30 - 26 = -4*a. Solve 10 = -4*f + a for f. 1 Let p = -9 - -13. Solve 5 = -3*n - p for n. -3 Let w be (-22)/(-6) - 4/6. Let u(f) = f. Let r be u(0). Suppose -5*a + 5*v + 30 = r, -5*a = v - 4*v - 28. Solve -w*m + 2 = a for m. -1 Let p be (-6)/(-18) + (-42)/(-9). Solve 2*c - p*c = -3 for c. 1 Suppose j - 5*b = 14, j - 3*b - 6 = -0*j. Let q(g) = -g - 4. Let s be q(j). Let f be (-2)/3 + (-4)/(-6). Solve f = -s*d + d - 3 for d. -3 Let y = 8 + -9. Let z = y - -4. Solve 0 = -z*c - c for c. 0 Let y(b) = -b**2 + 18*b + 22. Let v be y(19). Solve v*i - 4 = 2*i for i. 4 Let n = -16 + 15. Let h be (-3 - n)*6/(-4). Suppose 3*i + 2*c - 8 = 0, 0*i - 5*i + 5 = -5*c. Solve 5 = h*m - i*m for m. 5 Let i = 11 - 6. Solve 13 - 3 = i*d for d. 2 Let p(o) = o**2 - o**3 + 2 - 3 - o**3. Let h be p(-1). Let u = 9 + -4. Solve g = -h + u for g. 3 Let m(j) = 2*j**2 - 3*j + 4. Let b be m(1). Solve 3*p + 0 = -b for p. -1 Let q = -93 + 96. Solve -1 = q*g + 2 for g. -1 Suppose 0 = 3*w - 0 - 39. Suppose -m + 48 = 3*f, -w - 44 = -4*f + m. Solve -3*k = -0*k + f for k. -5 Let c(d) = -d**3 + 9*d**2 - 18*d - 10. Let i be c(5). Solve 3*z + z + 16 = i for z. -4 Suppose -3*c - 4*w = -53, 5*c - w + 5*w = 91. Suppose 5*u = -4*l + c, -11 = -3*u - 2*l - 0*l. Solve u*q + 2 - 8 = 0 for q. 2 Let o(t) be the third derivative of -t**7/120 + t**6/360 + t**3/2 + t**2. Let w(n) be the first derivative of o(n). Let f be w(-1). Solve 0*u = 2*u - f for u. 4 Suppose 0*n = n. Suppose -2*s + 16 = -n. Let q = -7 + s. Solve 5*u + 4 + q = 0 for u. -1 Let s be (0/(-1) - -3)/(6/4). Solve 0 = -s*y - 3 + 11 for y. 4 Suppose 0 = -y + 3*y + 3*b - 9, 4*b - 12 = 0. Let k be 1 - y*(-3)/(-6). Solve 2*d + 1 + k = 0 for d. -1 Let b(a) = -a**3 - 10*a**2 - 18*a + 24. Let y be b(-7). Suppose -133 = -5*h + 22. Let i = h + -19. Solve -i - y = -3*n for n. 5 Let h be (-4 - -2)/((-2)/5). Solve -h*t = -3*t for t. 0 Let l(o) = o**2 - 6*o - 5. Let z be l(8). Let h = z + -2. Let u = h - 5. Solve -u*p + 16 = -8*p for p. -4 Let x be ((-5)/(-2))/((-2)/4). Let n = -3 - x. Let v be ((-4)/3)/(n/(-3)). Solve 0 = -3*b + 4 + v for b. 2 Suppose p = g + 13, -2*p = 2*p - 5*g - 50. Solve -3*r = -6 + p for r. -3 Let c = -43 + 45. Solve -c*w + 2 = -w for w. 2 Let z = -2 + 0. Let h be (1 - 1)*z/2. Solve -2*u - u + 9 = h for u. 3 Suppose -32 = -5*k - 3*k. Solve -f - k*f = 0 for f. 0 Let w = -33 + 35. Solve -6 = -w*d - 0 for d. 3 Suppose 2*s + 3*a = -111, -4*a - 165 = 3*s + a. Let c be s/9 + (-1)/3. Let d = c - -7. Solve d = 3*x + 2*x - 5 for x. 1 Suppose -15 = 2*r + 3*x, -5*r - 50 = -3*r - 4*x. Let l = r + 21. Solve 0 = m - l*m - 20 for m. -4 Let u(w) = w - 2. Let z be u(4). Suppose -z*k + 44 - 4 = 0. Let g be (-86)/(-10) - (-8)/k. Solve -g - 11 = 4*a for a. -5 Suppose 6*x - 3*x = 0. Suppose -j - 4*j = x. Solve 5*g - 10 = -j*g for g. 2 Suppose -4*m = -3*y - 24, -8 = -4*m - 5*y + 4*y. Let a be ((-12)/9)/((-4)/18). Solve 0 = m*l - l - a for l. 3 Let w(t) = -t**2 + 10*t + 9. Let d be w(8). Let l = 35 - d. Solve -7*s = -2*s + l for s. -2 Let p be ((-4)/8)/(1/2). Let t be 5*p/(1 + -2). Solve -4*b - t - 7 = 0 for b. -3 Let c = 7 + -3. Let a be ((-11)/c)/(2/(-8)). Solve 4 = -3*g - a for g. -5 Let t(d) = -2*d**2 - 2*d + 1. Let c be t(2). Let l(u) = -u - 11. Let p be l(c). Suppose p = -2*g + g. Solve -6*z + z + 20 = g for z. 4 Let j be ((-3)/(-2))/(3/8). Let d(i) = j - 2*i**2 - 2 - 1 + 5*i**3. Let m be d(1). Solve -7*g - m = -3*g for g. -1 Suppose 0*g = 5*g + 10. Let n(p) = p**3 + p**2 - 2*p. Let d be n(g). Suppose k - 3*k = -s - 3, 2*s - 12 = -2*k. Solve -s*o + d*o = 0 for o. 0 Let r be 1 - 0 - (1 + 2). Let t = r - -7. Let n be 6/24 + 1/(-4). Solve n = t*l - 5 for l. 1 Let t(d) = 2*d**3 + 2*d**2 - 4*d**2 - 1 + 2*d + 7*d**3. Let h be t(1). Solve i + i = -h for i. -4 Suppose b - 4*x = -2*b + 5, 5*b - 5*x - 10 = 0. Solve b*g + 9 = 3 for g. -2 Let w = 3 + 0. Let f = -9 + w. Let i be 15/6 + 9/f. Solve -15 = 4*c + i for c. -4 Suppose -d = 4*d, 4*m + 3*d - 12 = 0. Let u be (-4 - -1)/(m/(-5)). Solve -u = 2*v + 5 for v. -5 Let i be (1 - 0)/((-1)/(-4)). Let h(s) = 3*s - 40. Let r be h(21). Suppose 3*y + r - i = v, -4*y = 5*v. Solve -l - v = -3*l for l. 2 Let w = -6 + 10. Suppose -37 - 39 = -w*y. Suppose 0 = 5*z - y - 1. Solve z*x = 2*x for x. 0 Let u be (1 - -25)/1 + -1. Let l be (-1)/(-4) - 92/(-16). Solve r - l*r = -u for r. 5 Suppose 2*m = -9*m + 11. Solve u - 3 = -m for u. 2 Let y = -4 - -6. Solve y*q = -q for q. 0 Let o(s) = 2*s - 5. Let l = -11 - -17. Let d be o(l). Solve d = z + 2 for z. 5 Let p(i) = -i**3 - i**2 + 5*i + 5. Let h be p(-2). Let g be (3/6)/(h/(-2)). Solve w + g = -4 for w. -5 Suppose -3 = 5*d - 33. Solve -d = -2*q - 0 for q. 3 Suppose -4*h + 3*h = 2*z - 7, 4*z - 5*h - 7 = 0. Solve a + 0*a - z = 0 for a. 3 Let d = 6 + -3. Let b be 0*1/3*d. Solve b = 4*p - 11 - 5 for p. 4 Let h(b) = b**3 + 5*b**2 + 3. Let z be h(-5). Solve -11*a + 10*a = -z for a. 3 Suppose 8 + 7 = 3*o. Suppose r - 10 - 8 = -3*a, 5*r = o*a + 50. Solve -c = 2*c + r for c. -4 Let j = -41 - -43. Solve -2*b + 0 = j for b. -1 Suppose 0 = 4*d + d + 25. Let z = 1 - d. Solve -m - m = -z for m. 3 Suppose 4*j = 6 + 10. Suppose -j*u - 12 = 0, -2*s - 4*u + 4 = -4. Solve q + q = -s for q. -5 Let n = 292 + -287. Suppose 19 = -5*z + 59. Let p be 1/4 + 54/z. Solve p - 27 = -n*m for m. 4 Suppose -3*p = -z + 11, 4*p = -0*z + z - 14. Solve z*l + 0 - 10 = 0 for l. 5 Let m be ((-63)/35)/(3/(-10)). Solve m*b - 3*b = 3 for b. 1 Suppose -3*w - 10 = -q - 5*w, 10 = -3*q + 4*w. Suppose -4*p - 12 = -0*b + q*b, 0 = -4*b - 2*p. Solve -b*j = -0 + 8 for j. -4 Let q be (-1)/((-9)/(-6)*(-4)/18). Solve c - 2 = q for c. 5 Suppose 3*i = 5*i - 12. Suppose 5*w - i - 4 = 0. Suppose w*u + 15 = 5*u. Solve -2*s = 3 + u for s. -4 Let t = -4 - -7. Let w(o) = 3*o**2 - 5*o + 4. Let q be w(t). Solve 3*n + q - 1 = 0 for n. -5 Suppose 5*n + 15 = 0, -5*g + n + 3 = -g. Solve 2*s = -g + 4 for s. 2 Let k = -2 + 2. Suppose 0 = -5*v + 3*v + 16. Solve k = i + i + v for i. -4 Suppose g - 17 = -2*g + l, -2*l = 3*g - 2. Suppose 14 = r - 4*n, 0 = 4*r - 9*r + g*n + 38. Solve -r*o + 3*o = 0 for o. 0 Let w(b) = b - 3. Let r be w(6). Suppose 0 = r*s + s - 8. Suppose 5*q + 2*f = 18, 0*q - 2*q = 3*f - 5. Solve -q = -s*a + 6 for a. 5 Let d(g) = g**3 - 7 - 2 - 12*g + 4*g - 9*g**2. Let b be d(10). Let t be (-3 - -2) + 1*b. Solve -t = 4*q - 2 for q. -2 Let r be (-1)/(-3) + 8/3. Suppose 3*s - r = 6. Suppose 5 + s = -2*v + 2*u, 4*v = 5*u - 20. Solve v = -3*t - 7 + 1 for t. -2 Suppose -a + 14 = 2*m, 5*m - 5*a - 1 - 4 = 0. Solve -2*z = -z - m for z. 5 Let z be (-2)/((2 - 3) + (-21)/(-24)). Solve o = -3*o + z for o. 4 Suppose 5 = 16*t - 27. Solve 0 = s - 1 - t for s. 3 Let c(i) = -i + 2. Suppose 3*t - 2 = 1
{ "pile_set_name": "DM Mathematics" }
(-6)/27. Solve 0*c**d + 1/4 + 1/4*c**4 - 1/2*c**2 + 0*c = 0. -1, 1 Factor -3*t + 8*t**3 + 11*t**3 + 2*t**3 - 3*t**5 - 15*t**3. -3*t*(t - 1)**2*(t + 1)**2 Let y(v) be the third derivative of 0 + 5/84*v**6 - 3/7*v**4 + 8/21*v**3 + 1/7*v**5 + 0*v + v**2. Solve y(q) = 0. -2, 2/5 Suppose 128*o**3 + 1248/7*o**2 + 512/7*o + 64/7 + 28*o**4 = 0. Calculate o. -2, -2/7 What is f in 0 + 0*f**2 - 1/2*f**3 + 0*f - 3/4*f**5 - 5/4*f**4 = 0? -1, -2/3, 0 Factor 48 - 62 + c**2 + 30 + 4*c + 4*c. (c + 4)**2 Let w(b) be the third derivative of b**5/20 - b**4/2 - 18*b**2. Find l such that w(l) = 0. 0, 4 Let l(h) = -h**3 - 6*h**2 - 7*h - 7. Let c be l(-5). Let 0 + 0*i - 1/2*i**4 + i**c - 1/2*i**2 = 0. What is i? 0, 1 Let o(h) be the second derivative of -h**7/1155 + h**6/330 - h**5/330 - h**2/2 + 5*h. Let v(p) be the first derivative of o(p). What is b in v(b) = 0? 0, 1 Suppose -2*f - 2*f - 24 = 0. Let b be (f/(-4))/(12/16). What is m in -m**3 - 2*m**b - 2*m**3 - 6*m - 7*m**2 = 0? -2, -1, 0 Let s be (-1)/((-4)/(-2)) + (-51)/(-18). Factor s*t**2 - 16/3*t + 4/3. (t - 2)*(7*t - 2)/3 Find y such that 0*y + 0 + 0*y**2 - 15/8*y**4 - 21/8*y**5 + 3/4*y**3 = 0. -1, 0, 2/7 Let l(x) = x**3 - 5*x**2 - 7*x + 8. Let w be l(6). Suppose -5*c = -w*c. Factor r**3 + c - 1/2*r**2 + 0*r - 1/2*r**4. -r**2*(r - 1)**2/2 Let j(a) be the first derivative of -9*a**4/20 + a**3/5 + 3*a**2/5 + 1. Factor j(b). -3*b*(b - 1)*(3*b + 2)/5 Let i(n) be the second derivative of n**6/6 - 5*n**5/4 + 5*n**4/3 + n. Determine u, given that i(u) = 0. 0, 1, 4 Let i(l) be the third derivative of -l**6/360 - l**5/60 + 2*l**3/9 - 5*l**2. Solve i(b) = 0. -2, 1 Let l be 20/24 + 1/(-3) - -4. Solve 3*o - l - 1/2*o**2 = 0 for o. 3 Let c(v) be the third derivative of v**6/900 + v**5/150 + v**4/60 + v**3/2 + 3*v**2. Let x(h) be the first derivative of c(h). Determine w so that x(w) = 0. -1 Let l(i) be the third derivative of i**8/672 + i**7/420 - 6*i**2. Factor l(n). n**4*(n + 1)/2 Let c(z) = 6*z**3 - 23*z**2 + 13*z - 11. Let o(i) = 15*i**3 + 45*i + 2*i**3 - 81*i**2 - 39 + 4*i**3. Let h(v) = -18*c(v) + 5*o(v). Factor h(m). -3*(m - 1)**3 Let v(u) be the third derivative of 0*u**3 + 0*u**5 - 1/168*u**8 + u**2 - 1/12*u**4 + 0*u**7 + 0*u + 0 + 1/30*u**6. What is b in v(b) = 0? -1, 0, 1 Suppose 3*d - d + 18 = 0. Let z be (2 + 21/d)*-1. Suppose -z - n**4 + 2*n + 10/3*n**3 - 4*n**2 = 0. What is n? 1/3, 1 Let j(q) = -10*q**3 + q**2 - q - 12. Let c(a) = a**3 + a. Let u(n) = 18*c(n) + 2*j(n). Factor u(t). -2*(t - 2)**2*(t + 3) Let x be 2/(-7) + (-2172)/(-105). Let o = x - 20. Let -2/5*n**4 + 2/5*n**2 + 2/5*n**3 - o*n**5 + 0*n + 0 = 0. What is n? -1, 0, 1 Find j such that 2*j**2 - 11*j**4 - 18*j**5 + 41*j**4 + 5*j**3 - 19*j**3 = 0. 0, 1/3, 1 Let m = 13 - 9. Suppose -2*h - 2 + m = 0. Factor 8*r**2 - 18*r - h + 5 + 0. 2*(r - 2)*(4*r - 1) Let o(d) be the second derivative of 1/4*d**4 + 21/40*d**5 + 0 - 4*d + 0*d**2 + 0*d**3 - 5/14*d**7 + 1/20*d**6. Suppose o(g) = 0. Calculate g. -1/2, -2/5, 0, 1 Let h be 2/(-3) + 104/120. Solve 0 + h*p + 1/5*p**2 = 0. -1, 0 Let r be (4/384)/(1/2). Let l(h) be the third derivative of 0*h + 0*h**3 - r*h**4 - h**2 - 1/120*h**5 + 0. Let l(q) = 0. What is q? -1, 0 Suppose -3*l + l = -4. Factor 5*d**3 - 2*d**4 + 2*d - 7*d**2 + d**3 + d**l. -2*d*(d - 1)**3 Let v be (-296)/(-3996) - (-262)/108. Factor v*j + 7/2*j**2 + 3/2*j**3 + 1/2. (j + 1)**2*(3*j + 1)/2 Suppose -4*d - 5*f = -11, -20 + 6 = -d - 5*f. Let h be (-2 + 0)/(0 + d). Factor 3*a**3 + 3*a**4 + a**3 + 2*a**h - a**4. 2*a**2*(a + 1)**2 Let c(d) be the second derivative of 3*d**5/40 - 5*d**4/4 + 9*d**3/4 - 17*d. Factor c(p). 3*p*(p - 9)*(p - 1)/2 Let k = -12 + -21. Let t be 2 - (4 + -3)*k. Factor -3*f**2 + t*f + f**2 - 37*f. -2*f*(f + 1) Let o(n) be the second derivative of 2*n**4/3 + n**3 - n**2 + 6*n. Find z, given that o(z) = 0. -1, 1/4 Suppose 0*w = 5*w. Suppose -10 = 5*n, w = 3*u + 3*n + 3 - 9. Suppose -3/2*h**2 - 3/2*h**3 + 0 + 3/2*h**u + 3/2*h = 0. Calculate h. -1, 0, 1 Let b(t) = -t**5 - 3*t**4 + 7*t**3 - 5*t**2 - 2*t + 4. Let n(z) = 3*z**5 + 8*z**4 - 20*z**3 + 14*z**2 + 6*z - 11. Let w(g) = 11*b(g) + 4*n(g). Factor w(k). k*(k - 2)*(k - 1)*(k + 1)**2 Let i(h) = -6*h**2 + h - 3. Let d(n) be the first derivative of -2*n**3 + n**2 - 4*n - 2. Let r(c) = 3*d(c) - 4*i(c). Suppose r(s) = 0. What is s? -1/3, 0 Let y(r) be the third derivative of -4*r**2 - 1/33*r**3 - 1/22*r**4 - 1/165*r**6 - 3/110*r**5 + 0 + 0*r. Find z, given that y(z) = 0. -1, -1/4 Let n(i) be the second derivative of i**9/7560 - i**8/1680 + i**6/180 - i**5/60 + i**4/3 + 4*i. Let m(k) be the third derivative of n(k). Factor m(o). 2*(o - 1)**3*(o + 1) Let s(u) be the third derivative of u**7/70 - u**6/30 - u**5/60 + u**4/12 - 4*u**2. Factor s(x). x*(x - 1)**2*(3*x + 2) Let i(l) be the first derivative of -l**7/945 + l**6/270 - l**5/270 - l**2 - 6. Let w(b) be the second derivative of i(b). Determine d so that w(d) = 0. 0, 1 Let q = 29 + -21. Let s be (q + 0)/(-1 + 3). Factor 2*m**2 - s*m + 1 - 1 + 0. 2*m*(m - 2) Suppose -y - 3 = 1. Let t = -2 - y. Solve 0 + 2*n**2 + 4/3*n**5 - 2/3*n**3 - 2/3*n - t*n**4 = 0 for n. -1, 0, 1/2, 1 Suppose 0 = -2*a + 11 - 7. Suppose a*u = -3*u - b + 8, 0 = 3*u + 3*b. Solve -6/5*p - 9/5 - 1/5*p**u = 0. -3 Let q be 40/25 - (-4)/10. Let l(v) be the first derivative of -1 - 1/2*v**q - 1/5*v**5 - v**3 - 3/4*v**4 + 0*v. Factor l(i). -i*(i + 1)**3 Let h(t) = -t**4 + 35*t**3 - 45*t**2 - 131*t + 270. Let u(z) = -15*z**4 + 490*z**3 - 630*z**2 - 1835*z + 3780. Let j(g) = 55*h(g) - 4*u(g). Factor j(c). 5*(c - 3)**3*(c + 2) Suppose -m + 9 = -4*s + 4*m, 2*s - 3 = m. Let n(p) be the third derivative of -1/12*p**3 - 2*p**2 + 0 + 1/48*p**s + 0*p + 1/120*p**5 - 1/240*p**6. Factor n(j). -(j - 1)**2*(j + 1)/2 Let l(h) = -h**2 + 11*h + 2. Let n = 2 - -9. Let p be l(n). Find c such that -10*c + 2*c**3 + c**2 - 4*c**2 + p*c**4 - 4 - 3*c**2 = 0. -1, 2 Let k be (0 + 1)/(2/4). Factor 11*s - 3*s**2 - 3*s**4 - 5*s + 6*s**k - 6*s**3. -3*s*(s - 1)*(s + 1)*(s + 2) Let f(x) = x**2 + 5*x. Let t be f(-5). Factor 0*c**3 + 4/5*c**2 + t*c - 2/5 - 2/5*c**4. -2*(c - 1)**2*(c + 1)**2/5 Suppose 4*y = -0 + 24. Let t(u) = -55*u**3 + 3*u**2 - 5*u. Let n(m) = -m - m**2 - 27*m**3 + 3*m**2 - m. Let v(d) = y*t(d) - 13*n(d). Factor v(j). j*(3*j - 2)*(7*j + 2) Let q(t) be the second derivative of -7*t**5/40 - t**4/12 + 21*t. Let q(m) = 0. What is m? -2/7, 0 Suppose 0*o - 4*d - 4 = -4*o, 5*o - 15 = -5*d. Let b be 6/(-15)*10/(-4). Let -4*l**2 + 3*l**o + 5*l - 2*l - b - l = 0. Calculate l. 1 Let l(v) = -29*v**2 - 144*v - 52. Let n(o) = 57*o**2 + 287*o + 106. Let f(h) = -13*l(h) - 6*n(h). Factor f(q). 5*(q + 4)*(7*q + 2) Let a(i) = i**3 - 6*i**2 - 6*i + 9. Let o be a(7). Let b = o - 16. Find t such that -2/3*t + 4/3*t**2 + b - 4/3*t**4 + 0*t**3 + 2/3*t**5 = 0. -1, 0, 1 Suppose 0 = 3*f - 7*f - 72. Let x be 4/f - 92/(-90). Factor x*w - 2/5*w**2 - 2/5. -2*(w - 1)**2/5 Let v(s) = s**5 - 4*s**4 - 3*s**3 + 12*s**2 + 18*s + 10. Let m(i) = -2*i**5 + 4*i**4 + 4*i**3 - 11*i**2 - 17*i - 11. Let x(d) = -2*m(d) - 3*v(d). Factor x(u). (u - 2)*(u + 1)**2*(u + 2)**2 Find m such that -4 - 3*m**3 + 3*m + 3*m + m**3 = 0. -2, 1 Let m = -22 - -89/4. Let a(v) be the first derivative of 1 - 1/4*v**2 + m*v + 1/12*v**3. Let a(c) = 0. Calculate c. 1 Let g = 5 + -3. Let c(x) = x**3 - 5*x**2 + 5*x - 1. Let q be c(4). Find r such that 9/4*r**g - q*r + 1 = 0. 2/3 Let d(o) be the first derivative of -o**3/6 - 3*o**2/4 - 7. Let d(b) = 0. What is b? -3, 0 Let v(h) = h**3 - 2*h**2 - 5*h + 12. Let a be v(2). Factor 0 + 0*g + 1/3*g**3 + 0*g**a. g**3/3 Suppose -3*z + 3*s = 3, 3*s - 2 = -3*z + 5*s. What is f in -332/7*f**2 + 120/7*f - 16/7 - 240/7*f**z + 50/7*f**5 + 418/7*f**3 = 0? 2/5, 1, 2 Suppose 0 = 3*g - 7 - 2. Factor 4 + g*p - 3*p**2 - p + 2 - 5*p. -3*(p - 1)*(p + 2) Let g(u) = -5*u**2 + 4*u. Let q(c) = -c**2 + c. Let f(h) = g(h) - 6*q(h). Find v, given that f(v) = 0. 0, 2 Let x(p) = -p**2 + p + 6. Let f be x(-2). Let b(u) be the second derivative of 1/30*u**6 - 1/12*u**4 + 0*u**2 + 1/6*u**3 + f - u - 1/20*u**5. Factor b(t). t*(t - 1)**2*(t + 1) Let x = -672 + 674. Factor 4/13 + 8/13*n**x - 10/13*n - 2/13*n**3. -2*(n - 2)*(n - 1)**2/13 Let z(p) be the third derivative of p**6/660 + 2*p**5/165 + 5*p**4/132 + 2*p**3/33 - 11*p**2. Factor z(
{ "pile_set_name": "DM Mathematics" }
1 - 27847.813. Let r = i - 0.987. What is r rounded to the nearest 10? 110 Let q = -2288 - -3467. Let x = -1218179.479 - -1217000. Let n = x + q. Round n to 1 decimal place. -0.5 Let c = 261150 - -167450. What is c rounded to the nearest one hundred thousand? 400000 Let t = -361.2 + 361.200006315. Round t to 6 decimal places. 0.000006 Let h = -0.97908 + -47.93792. Let v = h + 49. Let w = 0.08434 - v. Round w to 4 dps. 0.0013 Let q = 169814929932.8 - 169814929225.8000002585. Let f = -707 + q. Round f to seven dps. -0.0000003 Let w = -8196200388 - -8196200313.00000049. Let v = -104 + 29. Let u = v - w. Round u to seven decimal places. -0.0000005 Suppose 97*c - 30*c - 23371208 = 24801792. Round c to the nearest one hundred thousand. 700000 Suppose 5*h + 3551 - 17464 = -3*n, h - 4*n - 2801 = 0. Let u = h - 7915. Round u to the nearest 100. -5100 Suppose -4*z - 104 = -4*c, 5*c - 63 - 55 = 2*z. Let n be (c - 15022)/(2/300). What is n rounded to the nearest 1000000? -2000000 Let d(q) be the second derivative of -q**3/6 + 19*q**2 + q. Let c be d(0). Suppose -3*k + c = b, 3*k + 2*b = 2*k + 11. What is k rounded to the nearest integer? 13 Let b = 70983 + -71415.47. Let m = 9.48 + 420.52. Let g = m + b. Round g to 1 dp. -2.5 Suppose -2*r + 16*i - 20*i + 8322180 = 0, 5*r - 20805505 = i. Round r to the nearest 10000. 4160000 Let p = -0.3214 - -0.320943. Round p to five dps. -0.00046 Let g = 0.7 + -0.716. Let d = g - 0.259. Let i = 0.586 + d. Round i to 2 decimal places. 0.31 Let m(t) = -11*t - 3. Let s be m(-3). Let h be (-25760938)/465 - 4/s. What is h rounded to the nearest 1000? -55000 Let a = 309.928 - 13.853. Let m = a - 297. Round m to 1 decimal place. -0.9 Let y be ((-12)/(-18))/(2/(-4475181)). Let p be 2 - 1/(1/y). Let j = 161729 - p. Round j to the nearest 100000. -1300000 Let f = -471.8466 - -0.9566. What is f rounded to the nearest integer? -471 Let p = -34782 + 34781.9999996026. Round p to seven decimal places. -0.0000004 Suppose 34*g + 275539108 + 658791670 = -724087222. Round g to the nearest one hundred thousand. -48800000 Let i = 2035.94 - 2036.86167. Round i to two dps. -0.92 Let t = 258.73 - -366.25. Let j = t - 633. What is j rounded to zero dps? -8 Let k(l) = l**2 + 2. Let w(h) = 103751*h**2 - h + 6. Let u(j) = -2*k(j) + w(j). Let r be u(-2). Round r to the nearest ten thousand. 420000 Let n = -16333 - -16741.65. Let g = -408 + n. Round g to 0 decimal places. 1 Let o = 130046 + -130046.000139846. What is o rounded to 5 dps? -0.00014 Let l = -0.143 - -0.09. Let b = 1.07 - 1.122992. Let f = b - l. What is f rounded to five decimal places? 0.00001 Let a(l) = -95*l + 5*l**2 - l**2 + 97*l - 208399*l**3 - l**2. Let d be a(-1). Round d to the nearest ten thousand. 210000 Let r = 317 + -318.84. Let f = 2.23 + r. What is f rounded to the nearest integer? 0 Let v = -797.0035 - -799.2. Round v to two decimal places. 2.2 Let p = -60.93 + 60.89605. What is p rounded to 2 dps? -0.03 Let c = 117005.8728 - 116962. Let q = 43.9 - c. What is q rounded to three dps? 0.027 Let k = -13201 - -13278.228. Let l = -77 + k. Round l to two dps. 0.23 Let z = 1278.9999928777 - 1279. Round z to seven dps. -0.0000071 Let w = -2131.364 + 93.954. Let t = 2026 + w. Round t to 1 dp. -11.4 Let x = -39397.947593 - -39398. Let q = 0.0516 - x. Round q to five dps. -0.00081 Let c = 116 + -83. Let d = 33.8 - c. Let m = d + -1.74. Round m to 1 dp. -0.9 Let d(c) = 695500000*c**2 - 3*c - 3. Let f be d(-1). Suppose 2*v + f = -11*v. Round v to the nearest 1000000. -54000000 Suppose -4*x = l - 12, 2*x + 4*l = 11 - 19. Suppose x*b - 4*i = -383599984, -6*b + 5*i + 287700020 = -9*b. Round b to the nearest one million. -96000000 Let z = -3216.93562 - -3217. Round z to three decimal places. 0.064 Let m = 360 + -148. Let u = -212.000034 + m. Round u to 5 decimal places. -0.00003 Let o = -5620 - -5620.000023646. What is o rounded to six decimal places? 0.000024 Suppose -d + 5674200 = 13*d. Round d to the nearest 10000. 410000 Let u = -587973625 + 587973219.000187. Let h = 1357 + -951. Let r = h + u. Round r to four decimal places. 0.0002 Let j = 0.096 + -0.06. Let l = -4.036 + j. Let o = -3.9991 - l. What is o rounded to four dps? 0.0009 Let b = 64174.867 - 64144. Let m = 0.628 - b. Let g = m + 30.4. Round g to 2 decimal places. 0.16 Let x = -4513.58 + 4438. Let l = -89 - x. Round l to the nearest integer. -13 Let l = -4361139 + 6593039. What is l rounded to the nearest one hundred thousand? 2200000 Let i(l) be the first derivative of 11/2*l**2 - 377/4*l**4 - 5*l - 1/3*l**3 - 14. Let z be i(5). Round z to the nearest 1000. -47000 Let n = -0.22 - -0.9. Let s = 0 - n. Let t = -0.46 + s. Round t to one decimal place. -1.1 Suppose 2*u - 6 = -0, 3*u = w - 783. Let b be 4/(-6)*w/16. What is b rounded to the nearest ten? -30 Let a = 0.9147 + 1.4763. Round a to 1 dp. 2.4 Let v be (-79467 - -5) + -6*(-9)/(-27) + -6. Round v to the nearest 1000. -79000 Let k = -2 - 6. Let u(w) = w**3 + 8*w**2 + 4. Let l be u(k). Suppose l*h = 20, -3*h + 183215 = -5*x - 91800. What is x rounded to the nearest 10000? -60000 Suppose 5*h - 1986395 = -5*a, -6*h = -8*h - 4*a + 794566. Suppose -h = -6*y + 1540725. Round y to the nearest ten thousand. 320000 Suppose -4*r - 16711992 = 4*d, 4*d = -2*r + 6110881 - 22822877. Round d to the nearest 100000. -4200000 Let c = 3.7 - 3.7595. Let d = c + 0.044. Round d to three dps. -0.016 Let q = 8684.99998056 + -8685. Round q to 5 decimal places. -0.00002 Let b = -13436 - -13434.0845. What is b rounded to two decimal places? -1.92 Suppose -2730067 = -4*z - 5*x + 1910205, -4*z - 4*x + 4640276 = 0. Let t be (-1 - -25)/6 - -1740069. Let f = t - z. Round f to the nearest one hundred thousand. 600000 Let c = -528.4004442 + 528.4. Round c to five dps. -0.00044 Let r = 0.060774 + 3.704106. Let b = r + -3.71. What is b rounded to three decimal places? 0.055 Let a = -18.991 + 19. Let k = -88 - -88.008999. Let y = k - a. What is y rounded to 5 dps? 0 Suppose 21*u + 625956 + 251281 = 143287. Round u to the nearest 1000. -35000 Let s = 9.9958 - 10. Let k = s + 0.0606. Round k to 1 decimal place. 0.1 Let o be (7 - 133/21)*-141*26*200. What is o rounded to the nearest ten thousand? -490000 Let s = -35.17 - -34.9. Let d = -0.16 - s. Round d to zero decimal places. 0 Let r = -2916.06901 - -0.06901. Let b = 2740.7 + r. What is b rounded to the nearest ten? -180 Let j be 8/(2 + 4 - 5). Let a be ((-10)/(-20) + 121002/(-4))*j. What is a rounded to the nearest ten thousand? -240000 Suppose -55*n - 8478444000 = 46*n + 37*n. Round n to the nearest one million. -61000000 Let m be (11 - 9) + 8 + -7. Let w be (m + (1203 - -3))/(15/10). Round w to the nearest ten. 810 Let l(k) = -3062*k**2 + 23*k + 77. Let t be l(-13). Round t to the nearest 1000. -518000 Let l = 177.75 + -38.29. Let a = 0.54 + l. Let d = -140.00242 + a. Round d to 4 decimal places. -0.0024 Let g(m) = -2309*m**2 - 10*m. Let f be (-50)/4*(-92)/115. Let x be g(f). Round x to the nearest 10000. -230000 Let a = 226100 + 200800. Round a to the nearest ten thousand. 430000 Let f(j) = 12*j**2 + 144*j - 47. Let u be f(-10). What is u rounded to the nearest 1000? 0 Let x = -740242.042499755 + 739860.0425. Let p = 382 + x. What is p rounded to seven dps? 0.0000002 Let h = 19470 - 19469.73091. Round h to three dps. 0.269 Let s = 116430.9 - 116430.83299974. Let q = s - 0.067. What is q rounded to 6 decimal places? 0 Let t = -17.06 - -16.8. Let n = 1.79 - t. What is n rounded to one decimal place? 2.1 Let d(r) = 1897936*r + 360. Let j be d(-10). Round j to the nearest one million. -19000000 Let q = -5654756 - -5654708.87762. Let d = q - 0.01362. Let w = -47 - d. Round w to 2 decimal places. 0.14 Let n = 6.9 - 7.112. Let d = 0.20875 + n. Round d to 3 decimal places. -0.003 Let n = -27.515415 - -27.33682923. Let o = n + 0.1786. What is o rounded to six dps? 0.000014 Let u = 46.979 + -33.486. Round u to 0 dps. 13 Let j(t) be the second derivative of 0 + 27*t + 24057/2*t**3 - 13*t**2. Let x be j(6). Round x to the nearest 100000. 400000 Let v = 0.02499 + -0.036028. What is v rounded to four dps? -0.011 Let b = 15 - 14.95. Let x = b + -0.04988. Let l = 0 - x. Round l to 4 decimal places. -0.0001 Let j = 76.084 + -76.0881473. Round j to 4 dps. -0.0041 Let
{ "pile_set_name": "DM Mathematics" }
c) be the second derivative of -c**8/112 + c**7/168 + c**6/24 - c**5/24 + 23*c**3/6 + 22*c. Let x(s) be the second derivative of v(s). Factor x(j). -5*j*(j - 1)*(j + 1)*(3*j - 1) Let c = 707 - 3521/5. Let s = c - 2/15. Factor -s*g + 0 + 2/3*g**2. 2*g*(g - 4)/3 Let d(r) = 5*r + 27. Suppose -n + 22 = -5*m + 2*n, 5*m - 5*n = -20. Let l be d(m). Suppose -2/9*u**3 + 0 + 4/9*u**l - 2/9*u = 0. Calculate u. 0, 1 Suppose 0 = -12*b + 3953 - 3953. Solve b - 3/4*j**3 + 0*j**2 + 3/4*j = 0. -1, 0, 1 Suppose 2/17*f**4 + 0 + 0*f**2 + 2/17*f**3 + 0*f = 0. Calculate f. -1, 0 Let z = 4457 + -49025/11. Factor 4/11*c**3 - 4/11*c**2 + 2/11*c**4 - 2/11*c**5 + z - 2/11*c. -2*(c - 1)**3*(c + 1)**2/11 Let o(n) be the first derivative of n**6/48 + 3*n**5/20 - n**4/32 - n**3/4 - 124. Factor o(s). s**2*(s - 1)*(s + 1)*(s + 6)/8 Let k = -29571 + 29575. Factor 0*p**k - 6/7*p**2 + 0 + 1/7*p**5 - p**3 + 0*p. p**2*(p - 3)*(p + 1)*(p + 2)/7 Let d(i) = -7*i**2 + 11*i - 6. Let t(n) be the third derivative of n**5/10 - 5*n**4/12 + n**3 - 27*n**2. Let m(f) = -5*d(f) - 6*t(f). Let m(a) = 0. Calculate a. 2, 3 Let f(p) be the second derivative of p**7/1260 - p**6/270 - 2*p**3/3 + 21*p. Let u(d) be the second derivative of f(d). Solve u(a) = 0. 0, 2 Let q(t) = -8*t**2 - 8*t - 14. Let o(z) = 5*z - 1247*z**2 - 2*z + 1250*z**2 + 5. Let y(a) = 14*o(a) + 5*q(a). Suppose y(h) = 0. What is h? -1, 0 Let h(r) be the second derivative of -r**6/180 - r**5/24 - r**4/8 - 7*r**3/36 - r**2/6 - 41*r. Let h(w) = 0. Calculate w. -2, -1 Let o(t) = -t**3 - 27*t**2 - 38*t - 28. Let b(x) = 3*x**2 + 1. Let u(y) = 4*b(y) + o(y). Factor u(z). -(z + 1)*(z + 2)*(z + 12) Find w such that 8*w**3 + 2*w**2 + 5 + 0*w**3 - 18 + 0*w**2 + 5 - 32*w = 0. -2, -1/4, 2 Let j(u) be the second derivative of 3/4*u**2 - 1/16*u**4 - 17*u + 0 - 1/8*u**3. Solve j(t) = 0. -2, 1 Let w(o) be the second derivative of o**9/1890 + 3*o**8/1120 + o**7/630 + 7*o**4/12 + 11*o. Let z(l) be the third derivative of w(l). Factor z(y). 2*y**2*(y + 2)*(4*y + 1) Let j(f) = 3*f**4 + 131*f**3 + 822*f**2 + 1694*f + 1001. Let d(s) = s**3 - 2*s - 2. Let p(m) = -d(m) - j(m). Suppose p(u) = 0. What is u? -37, -3, -1 Let i = -883/12 + 35/12. Let a = 71 + i. Determine y so that y + 2/3 - a*y**3 + 0*y**2 = 0. -1, 2 Let j(d) be the second derivative of -d**8/3360 - d**7/1680 + d**6/360 + d**5/80 - 7*d**4/3 - 39*d. Let c(l) be the third derivative of j(l). Factor c(u). -(u - 1)*(u + 1)*(4*u + 3)/2 Find y, given that 15*y - 80*y**2 + 212*y**3 + 18*y - 17*y + 2*y**5 - 32*y**4 + 10*y - 128*y**3 = 0. 0, 1, 13 Factor -2/3*k**2 - 44376 - 344*k. -2*(k + 258)**2/3 Factor -60*f**4 - 363*f - 53*f**3 - 5*f**3 - 3*f**5 + 660*f**2 - 176*f**3. -3*f*(f - 1)**2*(f + 11)**2 Let u(a) be the first derivative of 2*a**3/7 - 121*a**2/7 + 80*a/7 - 224. Factor u(h). 2*(h - 40)*(3*h - 1)/7 Let t = -29 + 27. Let m be ((-7)/42)/(t/8). Factor 0 + m*k**2 - 2/3*k. 2*k*(k - 1)/3 Suppose -3*k - 11 = 1. Let o be 2 - k - (1 - -3). Factor 12/7*b**o + 2/7 + 8/7*b + 2/7*b**4 + 8/7*b**3. 2*(b + 1)**4/7 Let t(m) be the first derivative of -2/3*m**6 + 0*m**4 + 2*m**2 + 8/3*m**3 - 8/5*m**5 + 1 + 0*m. Find f such that t(f) = 0. -1, 0, 1 Let f = 3443/6878 + -2/3439. Determine l so that -f*l**3 + 1/2 - 1/2*l**2 + 1/2*l = 0. -1, 1 Let w = 231 - 229. Let h be 133/(-38)*(92/(-42) - -2). Let h*x**3 + 0*x + 1/2*x**w + 0 + 1/6*x**4 = 0. What is x? -3, -1, 0 Let f(s) be the third derivative of -s**5/15 + s**4/2 - 4*s**3/3 - s**2 - 27. Factor f(q). -4*(q - 2)*(q - 1) Let u(p) be the second derivative of -p**5/50 - 4*p**4/15 - 4*p**3/5 - 8*p + 14. Let u(d) = 0. What is d? -6, -2, 0 Let t(o) = -4*o**3 - 112*o**2 - 108*o - 20. Let a(w) = -1. Let d(c) = -20*a(c) + t(c). Factor d(j). -4*j*(j + 1)*(j + 27) Let m be (-2)/4*(2 - 2). Suppose -5*q = 3*d - 19, m = -2*q - d + 6*d - 11. Factor -4/9 - 2/9*r + 2/9*r**3 + 4/9*r**q. 2*(r - 1)*(r + 1)*(r + 2)/9 Let u(o) = o**3 - 11*o**2 + 9*o + 12. Suppose -18*g = -11*g - 70. Let f be u(g). Factor -1/2*b**f + 0 - 1/4*b**3 - 1/4*b. -b*(b + 1)**2/4 Suppose 29*h - 22*h = 0. Let l(r) be the third derivative of -1/15*r**4 + 1/150*r**5 + 0*r + 4/15*r**3 + 4*r**2 + h. Suppose l(t) = 0. What is t? 2 Let l(y) be the first derivative of 5*y**4/4 - 10*y**3 + 30*y**2 - 40*y + 7. Solve l(i) = 0. 2 Let p(s) be the first derivative of 3*s**5/20 + 15*s**4/4 - s**3/4 - 15*s**2/2 - 125. Find o such that p(o) = 0. -20, -1, 0, 1 Let w(v) = 5*v**5 + 2*v**4 - 15*v**3 - 10*v**2 - 2. Let q(l) = 10*l**5 + 5*l**4 - 30*l**3 - 20*l**2 - 5. Let c(d) = 2*q(d) - 5*w(d). Let c(k) = 0. Calculate k. -1, 0, 2 Let t(q) be the first derivative of -5*q**3/27 + 4*q**2/9 + 4*q/9 - 73. Factor t(a). -(a - 2)*(5*a + 2)/9 Let k be 0 - ((-8)/(-160))/(3/(-8)). Let r(c) be the second derivative of -3/25*c**5 - 1/30*c**4 + k*c**3 + 0 + 1/10*c**2 + 3/50*c**6 - 10*c. Factor r(x). (x - 1)**2*(3*x + 1)**2/5 Let x(n) be the first derivative of n**3/3 - 9*n**2/2 + 2*n + 5. Let u be x(9). Factor -q**2 + 2*q + q**2 - 5*q**4 + q**4 + 4*q**u - 2*q**5. -2*q*(q - 1)*(q + 1)**3 Let z be 0 + 4 + (-1452)/396. Let o(i) be the first derivative of 11 + 0*i + i**2 - z*i**3. Determine v, given that o(v) = 0. 0, 2 Suppose 5*a + b = 40, 1 = -3*a + 4*b + 2. Suppose 3*n = 2*p + 19, -47 + a = -5*n + 5*p. What is c in 23*c - c**2 + 2*c**2 - c**4 - 24*c + 0*c**2 + c**n = 0? -1, 0, 1 Suppose -2057/4*u**3 + 1331/4*u**4 + 429/2*u**2 + 2 - 35*u = 0. What is u? 2/11, 1 Suppose -4*a + 305 = 297. Let k(l) be the first derivative of -4/3*l**3 + a*l**2 - l**4 + 14 + 4*l. Factor k(j). -4*(j - 1)*(j + 1)**2 Let q(z) be the first derivative of -3/2*z**2 - z**3 - 2 + 0*z. Factor q(v). -3*v*(v + 1) Let t(x) be the second derivative of 7*x**6/6 - 19*x**5/4 + 10*x**4/3 + 10*x**3/3 + 49*x - 1. Suppose t(f) = 0. Calculate f. -2/7, 0, 1, 2 Let u(x) be the first derivative of -x**4/4 - 32*x**3/3 - 29*x**2/2 + 65*x + 22. Let b be u(-31). Factor 2/3 - 1/3*h**b + 1/3*h - 2/3*h**2. -(h - 1)*(h + 1)*(h + 2)/3 Let k = 131/5 - 26. Let n(r) = 4*r + 4. Let c be n(0). Factor 1/5*i**c + k*i**5 - 2/5*i**2 + 1/5 - 2/5*i**3 + 1/5*i. (i - 1)**2*(i + 1)**3/5 Let b(k) be the third derivative of k**5/390 - 19*k**4/156 - 20*k**3/39 + 68*k**2. Factor b(t). 2*(t - 20)*(t + 1)/13 Let q be 0 + 6 + (-5 - (-108)/(-132)). Factor q*y**2 + 0 + 2/11*y. 2*y*(y + 1)/11 Suppose 4*r - 16 = -3*t, r + 2*t - 10 + 6 = 0. Let o(j) be the first derivative of 0*j + 3 - 1/4*j**r - 1/2*j**2 + 2/3*j**3. Determine l so that o(l) = 0. 0, 1 Let r(u) be the first derivative of u**6/5 + 2*u**5/5 - u**4/6 - 2*u**3/3 + 33*u - 26. Let l(t) be the first derivative of r(t). Find q, given that l(q) = 0. -1, 0, 2/3 Let w = -1 + 3. Suppose -5*k = 3*f - 32, -k + 5*f = w*k + 8. Factor 2*j - 6*j**3 - 4*j + j - 4*j**4 - j**5 - k*j**2. -j*(j + 1)**4 Suppose 3*b = 3*w - 0*b - 9, -4*w + 2*b = -14. Let l be 3 - 1 - 3 - (-6)/w. Factor -1/4 - l*u - 1/4*u**2. -(u + 1)**2/4 Factor 2/5*s**3 + 664/5 + 174/5*s**2 + 672/5*s. 2*(s + 2)**2*(s + 83)/5 Factor -102*a**2 + 3675 + 3/2*a**3 + 3255/2*a. 3*(a - 35)**2*(a + 2)/2 Let j(g) be the third derivative of -1/8*g**6 - 5/6*g**4 + 2/3*g**5 - 12*g**2 + 0 + 0*g**3 + 0*g. Determine q so that j(q) = 0. 0, 2/3, 2 Let f(g) be the first derivative of 5/3*g**3 + 5/4*g**4 + 0*g + 0*g**2 - 9. Factor f(u). 5*u**2*(u + 1) Suppose -2*i - i - 3*a + 6 = 0, -4*i - 3*a = -10. Suppose t = i*t. Find p such that 0 + 2/11*p**2 + 6/11*p**5 - 2/11*p**4 + t*p - 6/11*p**3 = 0. -1, 0, 1/3, 1 Let n be (((-70)/630)/(1/9))/(4/(-2)). Solve -4*b + 8 + n*b**2 = 0. 4 Let z(h) = -15*h**3 - 48*h**2 + 48*h + 128. Let a(l) = 76*l**3 + 240*l**2 - 240*l - 640. Let b(m) = 5*a(m) + 24*z(m). Factor b(c). 4*(c + 2)**2*(5*c - 8) Let h(a) be the second derivative of -2*a**6/15 + 58*a**5/5 - 841*a**4/3 - 5*a. Solve h(p) = 0. 0, 29 Let j be 13/(-182)*-62 + -1*3/7. What is y in -2/5*y**5 + 0 - 6/5*y**3 + 2/5*y**2 + 6/5*y**j + 0*y = 0? 0, 1 Let d(v) be the third derivative of 0*v**3 + 7*v**2 + 1/40*v**4 + 0 + 0*v - 1/100*v**5. Suppose d(z) = 0. Calculate z. 0, 1 Suppose -21*k = -31 - 74. Let p be (-20)/k - (4 + -11). Solve -2*m**2 - 6/11*m**5 - 26/11*m**4 - 4/11*m + 0 - 38/11*m**p = 0 for m. -2, -1, -1/3, 0 Let w(h) be the first derivative of 0*h + 3*h**4 - 16/3*h**3 - 7 - 1/3*h**6 + 0*h**5 + 3*h**2. Find y such that w(y) = 0. -3, 0, 1 Let
{ "pile_set_name": "DM Mathematics" }
four letters picked without replacement from {h: 2, d: 2, s: 2}? 4/15 Two letters picked without replacement from {s: 1, h: 4, u: 1, o: 2, x: 8}. What is prob of picking 1 x and 1 o? 2/15 Two letters picked without replacement from {g: 4, f: 2}. Give prob of picking 2 g. 2/5 Calculate prob of picking 1 c and 1 i when two letters picked without replacement from ice. 1/3 Two letters picked without replacement from jvvvj. Give prob of picking 1 v and 1 j. 3/5 Four letters picked without replacement from wuaaowaauaoo. What is prob of picking 1 u, 2 o, and 1 w? 4/165 Two letters picked without replacement from qwlgd. What is prob of picking 1 d and 1 w? 1/10 Calculate prob of picking 2 b and 1 v when three letters picked without replacement from {o: 7, v: 2, b: 5}. 5/91 What is prob of picking 2 d when two letters picked without replacement from ddddddbdddddd? 11/13 Calculate prob of picking 1 o and 1 h when two letters picked without replacement from nhoo. 1/3 Calculate prob of picking 1 z and 2 e when three letters picked without replacement from eezze. 3/5 Three letters picked without replacement from {u: 5, s: 4, f: 4, b: 1, r: 1}. Give prob of picking 1 s, 1 b, and 1 r. 4/455 What is prob of picking 2 n when two letters picked without replacement from winqnqn? 1/7 What is prob of picking 2 k and 1 c when three letters picked without replacement from cskkrsa? 1/35 Two letters picked without replacement from {y: 16, g: 2}. Give prob of picking 1 g and 1 y. 32/153 What is prob of picking 2 r, 1 u, and 1 w when four letters picked without replacement from ruuuwujuujururujuw? 1/51 Calculate prob of picking 2 w and 2 t when four letters picked without replacement from {w: 7, t: 6}. 63/143 What is prob of picking 2 h and 1 v when three letters picked without replacement from {x: 1, r: 5, h: 10, v: 1}? 9/136 Two letters picked without replacement from uuufuuhhgbgbupbpbh. What is prob of picking 1 u and 1 g? 4/51 Three letters picked without replacement from {j: 1, q: 1, n: 1, e: 4, v: 8}. What is prob of picking 1 n, 1 e, and 1 v? 32/455 What is prob of picking 2 a when two letters picked without replacement from {d: 3, i: 3, a: 5}? 2/11 Two letters picked without replacement from ssssssssss. Give prob of picking 2 s. 1 What is prob of picking 1 y, 1 b, and 1 l when three letters picked without replacement from {l: 1, b: 3, y: 7, t: 4, p: 3}? 7/272 Calculate prob of picking 2 w when two letters picked without replacement from {w: 4, v: 2, l: 2, g: 1}. 1/6 Two letters picked without replacement from oorroor. What is prob of picking 1 r and 1 o? 4/7 Two letters picked without replacement from hpphhxphpxpppppp. Give prob of picking 2 p. 3/8 What is prob of picking 4 q when four letters picked without replacement from {z: 2, q: 4, d: 1, l: 2, t: 1}? 1/210 What is prob of picking 2 d when two letters picked without replacement from {x: 7, d: 2}? 1/36 Two letters picked without replacement from zzqzqzb. What is prob of picking 1 z and 1 b? 4/21 Three letters picked without replacement from wwbwibbiisiriwiww. Give prob of picking 2 b and 1 r. 3/680 What is prob of picking 1 d and 2 m when three letters picked without replacement from {m: 13, d: 1, x: 2, c: 1}? 39/340 Two letters picked without replacement from woywywhwbwwobwtowwy. Give prob of picking 1 h and 1 y. 1/57 Calculate prob of picking 2 i when two letters picked without replacement from ivvviiv. 1/7 Calculate prob of picking 1 c and 1 h when two letters picked without replacement from hfccicq. 1/7 Calculate prob of picking 1 u, 2 l, and 1 n when four letters picked without replacement from {u: 2, n: 4, l: 3}. 4/21 Two letters picked without replacement from {w: 2, f: 1}. Give prob of picking 1 f and 1 w. 2/3 Four letters picked without replacement from iiluiiiilglg. What is prob of picking 2 i and 2 l? 1/11 Calculate prob of picking 3 d when three letters picked without replacement from {d: 10, y: 10}. 2/19 What is prob of picking 2 i and 2 f when four letters picked without replacement from {f: 5, i: 3, g: 5}? 6/143 Three letters picked without replacement from {b: 3, c: 5}. What is prob of picking 2 c and 1 b? 15/28 Four letters picked without replacement from {k: 3, i: 2, u: 3}. Give prob of picking 2 k, 1 i, and 1 u. 9/35 What is prob of picking 4 v when four letters picked without replacement from djvjvsjvjvvvsvvvv? 3/34 Calculate prob of picking 2 n when two letters picked without replacement from {a: 1, v: 5, n: 5, e: 5}. 1/12 What is prob of picking 1 v and 1 b when two letters picked without replacement from {b: 2, w: 3, j: 1, v: 1}? 2/21 What is prob of picking 1 y and 2 w when three letters picked without replacement from wwwwwwwywwwww? 3/13 Two letters picked without replacement from {c: 2, f: 2, j: 8, l: 1}. Give prob of picking 1 j and 1 f. 8/39 What is prob of picking 1 z and 1 w when two letters picked without replacement from {w: 2, z: 1, y: 8, u: 5}? 1/60 Calculate prob of picking 2 z when two letters picked without replacement from {z: 5, e: 7}. 5/33 Three letters picked without replacement from {i: 4, a: 3, w: 5}. Give prob of picking 1 w and 2 a. 3/44 Three letters picked without replacement from jngiintjwjjw. What is prob of picking 1 g, 1 w, and 1 t? 1/110 Two letters picked without replacement from vlivhhvllh. What is prob of picking 1 i and 1 h? 1/15 What is prob of picking 1 k, 1 l, 1 e, and 1 d when four letters picked without replacement from dkeldbb? 2/35 Four letters picked without replacement from bixbxejxfibxxfjxxj. Give prob of picking 1 x, 1 j, 1 b, and 1 i. 7/170 What is prob of picking 1 j and 3 b when four letters picked without replacement from {j: 2, v: 1, b: 11, o: 2}? 33/182 Three letters picked without replacement from nzzzgnzzgnzngvggnz. What is prob of picking 1 n and 2 z? 35/272 Two letters picked without replacement from {i: 2, m: 1, s: 1}. What is prob of picking 2 i? 1/6 What is prob of picking 1 c, 1 b, and 1 z when three letters picked without replacement from {m: 3, z: 1, b: 1, w: 1, c: 5}? 1/33 What is prob of picking 1 e and 1 i when two letters picked without replacement from {x: 2, e: 6, i: 9}? 27/68 Calculate prob of picking 2 m when two letters picked without replacement from {z: 1, m: 17}. 8/9 Three letters picked without replacement from {d: 3, v: 2, e: 3}. Give prob of picking 2 e and 1 v. 3/28 Two letters picked without replacement from {t: 4, g: 1, a: 4, s: 1}. Give prob of picking 1 t and 1 a. 16/45 Calculate prob of picking 2 b and 2 a when four letters picked without replacement from abbbbbba. 3/14 Two letters picked without replacement from {o: 2, a: 4, y: 7}. What is prob of picking 2 o? 1/78 What is prob of picking 2 u, 1 s, and 1 r when four letters picked without replacement from sssurus? 4/35 What is prob of picking 2 n, 1 q, and 1 b when four letters picked without replacement from luuubuqsqsunqnqq? 1/364 What is prob of picking 1 q and 3 o when four letters picked without replacement from {e: 1, o: 7, q: 1}? 5/18 Three letters picked without replacement from ppypppdpppppyddkkk. Give prob of picking 2 y and 1 d. 1/272 Calculate prob of picking 1 l and 1 c when two letters picked without replacement from {e: 2, l: 3, c: 4}. 1/3 What is prob of picking 1 y and 1 f when two letters picked without replacement from {e: 4, y: 1, q: 6, t: 2, k: 2, f: 3}? 1/51 Two letters picked without replacement from smp. Give prob of picking 1 m and 1 s. 1/3 Two letters picked without replacement from sxwaoopws. Give prob of picking 1 w and 1 s. 1/9 What is prob of picking 2 s when two letters picked without replacement from {s: 7, r: 1}? 3/4 What is prob of picking 2 q when two letters picked without replacement from xqqxxq? 1/5 Three letters picked without replacement from {l: 1, t: 2, n: 2, m: 3, d: 4, f: 3}. Give prob of picking 1 m and 2 n. 3/455 Four letters picked without replacement from {f: 1, n: 1, w: 5, z: 6, u: 2}. Give prob of picking 1 n and 3 z. 4/273 What is prob of picking 2 c when two letters picked without replacement from ccccaaa? 2/7 What is prob of picking 1 u and 3 r when four letters picked without replacement from fooorrurufouroorrrr? 14/323 Calculate prob of picking 1 w and 1 v when two letters picked without replace
{ "pile_set_name": "DM Mathematics" }
. What is the fourth biggest value in -1/3, 1/4, -2/5, f? -2/5 Let u = 1.161 + -1.22. Let p = -4.059 - u. Which is the third biggest value? (a) -1/3 (b) p (c) -0.4 (d) -1 d Let n = 4.0522 - 0.0522. Let v = -2.7 - -3. What is the fourth smallest value in -0.2, n, v, -1/2? n Let g = -49.69 - -49. Let l = -0.11 + g. Let x = -2.8 - l. Which is the biggest value? (a) x (b) 4 (c) -4/5 b Let x = 13 - -13. Let y = 20 - x. Which is the second smallest value? (a) -2/7 (b) -0.4 (c) y b Let f = 21 + 19. Let y = -36 + f. Which is the third smallest value? (a) 1 (b) y (c) 0 b Let q = 33.2 + -33.6. Which is the smallest value? (a) q (b) 0.2 (c) -5/93 (d) 0.4 a Let x = 0 + -0.2. Let i = 601/2 - 299. What is the biggest value in -0.7, -4, x, i? i Let g be (2/6)/((-4)/(-3)). Let o be 198/45 - (2 + 2). Which is the second biggest value? (a) g (b) o (c) -1/3 a Suppose -l = -3*l - 6. Let t be 2*l*((-21)/(-6) - 3). Which is the biggest value? (a) 2 (b) t (c) 1/5 a Let g be (-12)/72*6/(-4). Let v = 8334 - 33147/4. Let q = -48 + v. What is the biggest value in q, 7, g? 7 Let m = 24.7 + -25.7. Let t = 0.2 + 0.3. Which is the second biggest value? (a) m (b) 0.3 (c) t b Let w be ((-4)/2)/((-9)/(9/(-8))). Which is the biggest value? (a) -0.01 (b) -13 (c) w a Let u = -2.78 + 0.78. Let w = -0.07 - 8.93. What is the third biggest value in -4, w, u? w Let b = -13 + 13.31. Let t = 5.31 - b. Let h = 5.9 + 0.1. What is the second biggest value in t, -3/5, h? t Let g = 157/612 + -5/36. Which is the third smallest value? (a) -1 (b) 17 (c) -4 (d) g d Let w(r) = -r**2 + 18*r - 74. Let c be w(11). Let s be (9/(-30))/(1 + -4). What is the second biggest value in 4, s, c? c Let s = 154 - 3236/21. Let m(n) = 5*n + 8. Let x be m(-6). Let v = 26 + x. What is the biggest value in s, -5, v? v Let t = 52 - 51.4. Let o = -0.4 + t. Which is the third smallest value? (a) -0.5 (b) o (c) -1 b Let f = -32 + 0. Let x = -28 - f. What is the third biggest value in -0.1, x, 1/3, 6? 1/3 Let d(x) = -x**3 + 7*x**2 - 5*x - 9. Let p be d(7). Let a be (-5)/((-140)/p) + 1. What is the third smallest value in 5, a, 3? 5 Let t = -39 - 0. Let h be 4/(-12) - 7/t. Which is the third smallest value? (a) -5 (b) 0.7 (c) h b Let s = -805.01 - -810. Let k = 0.01 + s. Let p = -126 - -129. What is the second biggest value in p, 1/2, k? p Let z = -637/3 - -211. Which is the third smallest value? (a) 3 (b) 5 (c) z (d) 0.5 a Let x be (-15)/(-3) - 6/(-30)*-5. What is the second biggest value in -1/2, 2, 2/27, x? 2 Let a be -7*(-1 - (-18)/14). Let b = -468 - -470. What is the third biggest value in -5/22, b, a? a Let r = 451/182 + 2/91. Let n be 12/24 - 13/18. What is the second biggest value in r, -2/17, n? -2/17 Let r be 3/(-24)*2*(-12)/18. Which is the fourth biggest value? (a) r (b) 4/5 (c) -2 (d) 0.07 c Let h = -138 - -137. Which is the third smallest value? (a) -0.2 (b) -43 (c) h a Let t = -0.0981 - -0.1681. Let r = -2.1 - -2.3. What is the third biggest value in 2/17, r, t? t Let f = -414 + 411. Let h = 4 + -4.1. Let b = 0.1 + h. What is the third smallest value in b, f, -0.2? b Let z(h) = 16*h + 322. Let x be z(-20). Which is the second biggest value? (a) 10 (b) 1 (c) x c Let w = -13205 + 990334/75. Let o = w - 3/25. Let r = -2/5 + 11/15. Which is the second biggest value? (a) r (b) o (c) -1/3 c Let z = 361/9 + -1796/45. Let x = 0.03 + 4.97. Which is the second smallest value? (a) x (b) -3 (c) z (d) -4 b Let j = -2 + 13. Let v = j - 13. Let q = -11.2 - -11.4. Which is the smallest value? (a) q (b) 2/11 (c) v c Let i be (59/(-118))/(0 + -25 - 0). Which is the second smallest value? (a) 0 (b) i (c) -1/2 a Let l(k) = 2*k**3 + 16*k**2 + 32*k - 4. Let x be l(-4). Which is the smallest value? (a) 0.5 (b) 4 (c) 2/11 (d) x d Let d be 10/(-15) + 4/3. Let r = -0.9546 - 0.0454. What is the third biggest value in d, r, 2? r Let d = 2 + -2.03. Let w = 2.97 - d. Let g = 166 + -2160/13. Which is the second smallest value? (a) w (b) -0.5 (c) g c Let f = 2.541 + 0.459. Which is the fourth smallest value? (a) f (b) 4/5 (c) -1.2 (d) -2/13 a Let p = -82.12 + 92. Let v = p - 10. Let b = v - -0.12. What is the second smallest value in 5, -1/4, b? b Let d = -4.2 + 4. Let y = -0.3 - d. Let x = -139 - -3199/23. What is the third smallest value in 0.4, y, x? 0.4 Let p = 1.7 - 2.2. Suppose -w - 4*w + 10 = 0. Let d be w/(-3) - 60/(-117). What is the second biggest value in 2, p, d? d Suppose -3*u + 18 + 6 = -4*r, 5*u = 5*r + 35. Which is the second smallest value? (a) -133 (b) 2/9 (c) u b Let h(w) = w + 3. Let u be h(-3). Suppose 3*p = 0, -j + u = -p - 1. Which is the third smallest value? (a) 3 (b) -3/8 (c) j a Let d(h) = h**3 - 2*h**2 + h + 2. Let i be d(2). Let a = 13631 - 13631. What is the fourth biggest value in a, i, 2/13, 0.2? a Let z = 139.4 - 139. Let l = 4 + -3. What is the third biggest value in 0.2, 0, z, l? 0.2 Let h = -146 - -146.61. Let y = 15.01 - 14.8. Let a = y - h. What is the third biggest value in 0.2, -1, a? -1 Let c = 488 + -1466/3. What is the biggest value in c, 0.2, 4/9? 4/9 Let h = -361 + 358. Which is the second biggest value? (a) 2 (b) h (c) 19 a Let o be (-4)/(-10)*(-24)/(-16). Which is the third smallest value? (a) o (b) -1/5 (c) 6 c Let s = 73 - 62.25. Let f = s + -11. Let i = f + -0.25. What is the smallest value in -6, i, 0.2? -6 Let a = -0.1 - -0.9. Let f = 9 - 8.3. Let n = f - a. What is the smallest value in -0.3, 4, n? -0.3 Let d = 39 - 16. Let k = d - 19. Which is the third smallest value? (a) -2/9 (b) 0.29 (c) k c Let i = 611 - 652. Which is the second biggest value? (a) 3 (b) -2 (c) i b Let f = -0.512 - -0.222. Which is the smallest value? (a) f (b) 4 (c) 0.1 (d) 1 a Suppose -5*w + 34 - 4 = 0. Which is the second smallest value? (a) -3 (b) 0.4 (c) w b Let c(j) = -28*j - 167. Let d be c(-6). What is the second biggest value in -1, d, -6.2? -1 Let y = 283/4695 - -2/313. Which is the smallest value? (a) 3 (b) -1 (c) 2 (d) y b Let d = -1176 + 1177.9. Let n = -2 + 3.5. Let g = n - d. Which is the second smallest value? (a) -2/13 (b) g (c) 2/5 a Let g = 19.589 + 0.011. Let x = g + -20. Let m = -2.4 - -2.8. Which is the second smallest value? (a) 1/2 (b) x (c) m c Let y = -842 - -842.05. Let f = -3 + 3.05. Let i = y + f. Which is the smallest value? (a) i (b) -1 (c) 10 b Let w be 9/6*(-1)/(-6). Let v be (41/(-205))/(3/(-2 + -7)). What is the second biggest value in v, -0.4, w? w Let f = -1.087 + 0.087. Which is the third smallest value? (a) f (b) 3 (c) -4 b Let r = 0.06 + -0.39. Let g = -0.93 - r. What is the second smallest value in g, 2, -2/17? -2/17 Let y = -8 + 11. Let o = 5 - y. Let k = 6 + -2. Which is the second smallest value? (a) k (b) o (c) 0.4 b Let a = -39.94 + 40. What is the second biggest value in a, -1/2, -0.04? -0.04 Let z be (385/33 + -13)/((-3642)/9). Which is the second biggest value? (a) 0.3 (b) 1/2 (c) z a Let c(k) be the second derivative of k**3/6 - 2*k**2 + 9*k. Let p be c(0). What is the third biggest value in 0, p, 1/2, -0.1? -0.1 Let s be -10 - (1 + -1 + 0). Let q = -6 - s. Let m = -19.2 + 20. Which is the smallest value? (a) m (b) 2 (c) q a Suppose -p - 2 = 3*i, 11 = -2*p + 1. Let y be (-18)/22*i - -1. Suppose 5*z = 9*z - 16. Which is the third smallest value? (a) y (b) 5 (c) z b Let b = 12 - -17. Let t = b - 3.6. Let j = -25 + t. What is the smallest value in -3, j, 2/7? -3 Let q be -1 - (6 + (-301)/105 + -4). Let d = 0.2 + -0.3. What is the second biggest value in -5, d, q? q Let y be (-9*38/(-42) - 3) + (-90)/18. Let f = 0.03 + -2.03. What is the smallest value in y, f, 4, -5/8? f Let c = 1727 - 1724. What is the third smallest value in c, 1/77, 0.04? c Let u = -0.0785 + 0.0785. Which is the smallest value? (a) -0.1 (b) u (c) 180 a Let x = 82 + -77. Let d = 1 - 3. Which is the second biggest value? (a) 0.1 (b) x (c) d a Let j = -25.1 - -25.4. What is the third biggest value in -0.6, j, 5, 0? 0 Let l(n) = n**3 + 7*n**2 + 12*n + 3. Let v be l(-5). What is the biggest value in v, -23, 2/5? 2/5 Let r = 144.7 + -27.7. Let y = -110 + r. What is the third smallest value in y, -3/4, 1/4? y Suppose 16*s - 115 = 2*s - 101. Let m be -1*5*6/15. Let j
{ "pile_set_name": "DM Mathematics" }
derivative of 2*n*s*x**4 - 2*n*s*x**3 - 2*n*s*x - n*x**2 - n*x + s*x + 7*x**4 - 2*x**2 wrt x. 48*n*s*x - 12*n*s + 168*x Differentiate -294*d*f**3 - 1902*d + f**4 - 5*f**2 with respect to f. -882*d*f**2 + 4*f**3 - 10*f Find the third derivative of -202*b*c**3*w**3 + 2*b*c**3*w + b*c**2*p**3*w**3 + 4*b*c**2*w**2 - b - 4*c*p**3 - 2*c*p*w wrt w. -1212*b*c**3 + 6*b*c**2*p**3 What is the second derivative of 2*k**4 + 2*k**3 + 63*k**2 - 2685*k wrt k? 24*k**2 + 12*k + 126 Find the first derivative of 72*a*j - 16*j + 6 wrt a. 72*j Find the second derivative of -3293*k**5 - 1216*k - 2. -65860*k**3 Find the second derivative of -7663*g**2 + 222*g - 12 wrt g. -15326 Find the second derivative of 1446*j**2 + 15088*j. 2892 Find the third derivative of -21532*h**6 - 21*h**2 wrt h. -2583840*h**3 Differentiate 2*s**3 - 20*s**2 - 70 with respect to s. 6*s**2 - 40*s What is the third derivative of -5*a**3*d**2 + 9*a**3*i - a**2*d*i - 3*a**2 - 32*d**2*i wrt a? -30*d**2 + 54*i What is the first derivative of -6365*o**3 - 3168? -19095*o**2 Find the third derivative of -450*r**3 + 325*r**2. -2700 What is the first derivative of 7*o**2*t**2 + 341*o - 2391*t**2 - 2*t wrt o? 14*o*t**2 + 341 Find the third derivative of 468*h**4*w - 3*h**3*w - 44*h**2 - h*w wrt h. 11232*h*w - 18*w Differentiate -271*n*s**2 - 3*n*s + 848*n with respect to s. -542*n*s - 3*n Find the second derivative of -225*c**4 + 850*c. -2700*c**2 What is the second derivative of -636*n**2 + n + 126 wrt n? -1272 What is the second derivative of -62*l**2 - 102*l wrt l? -124 What is the second derivative of -3*s**5 + 8*s**3 + 2*s + 9 wrt s? -60*s**3 + 48*s What is the third derivative of 1744*k**6*z + 41*k**2*z - 6*k*z wrt k? 209280*k**3*z What is the third derivative of 2*d**4*n - 9*d**4 + 2*d**3*n + 41*d**2*n + 2*d*n wrt d? 48*d*n - 216*d + 12*n Find the third derivative of 11946*p**6 + 3279*p**2. 1433520*p**3 What is the derivative of -2*b**3*c**2*v + 33*b**3*c - 2*b**2*c**3 - 7*b*c**3 + 774*c**3*v wrt v? -2*b**3*c**2 + 774*c**3 Find the third derivative of 625*c**3 + 60*c**2 + c wrt c. 3750 Find the second derivative of 10496*n**4 - 3*n - 3578 wrt n. 125952*n**2 What is the first derivative of 30*h**3 + 3*h - 7553 wrt h? 90*h**2 + 3 Find the second derivative of -2826*p**5 - p**3 - 29699*p wrt p. -56520*p**3 - 6*p Differentiate 4*q**2 - 727*q - 1773 with respect to q. 8*q - 727 What is the third derivative of 2*b**3*g**3 + 409*b**3*g**2 - 5*b*g**2 - 779*g**6 wrt g? 12*b**3 - 93480*g**3 Find the second derivative of -a**5*m + 387*a**3*m - 2*a**3 - 3*a*m + 10*a - 6*m - 10 wrt a. -20*a**3*m + 2322*a*m - 12*a What is the second derivative of p**3*r**2 + p**3 + 480*p**2*r**2 - 337*p*r**2 wrt p? 6*p*r**2 + 6*p + 960*r**2 Find the first derivative of -15*d*m**2*y - 190*d*y + 17*m**2 - 10*m*y - 16*m wrt d. -15*m**2*y - 190*y Find the second derivative of f**2*i**2*o + 2*f**2*i*t + f*i**2*o**2 + 2*f*i*o**2*t - 5*f*t + 9*i**2*t + i**2 + 4*i*o**2*t wrt i. 2*f**2*o + 2*f*o**2 + 18*t + 2 Find the third derivative of 4*n**4 + 13*n**3 - 189*n**2 - 3*n wrt n. 96*n + 78 What is the second derivative of 549*k**2*q*r - 2*k**2*q + 19*k*q + 2*k*r - 21*r wrt k? 1098*q*r - 4*q What is the third derivative of -1078*s**3 - 1422*s**2? -6468 Find the second derivative of 2*h**4 - 221*h**2 + 44*h + 5. 24*h**2 - 442 What is the second derivative of -5*n**3*w**3 + 21*n**2*w**3 + 28*n*w**2 + 2*w**3 - 2*w**2 wrt n? -30*n*w**3 + 42*w**3 Find the third derivative of -35*d*n**3*p**2 - d*n**3 - 11*d*n**2*p**2 - 2*d*n**2*p - 4*n**4 - 2*p**2 wrt n. -210*d*p**2 - 6*d - 96*n Find the second derivative of -1032*f**2 + 246*f wrt f. -2064 What is the third derivative of 15*f**3*x*z + 4*f**3*x - 3*f**3*z + f**2*z - f*x + f*z + 13*x*z wrt f? 90*x*z + 24*x - 18*z Find the third derivative of 30*y**4 + 4*y**3 + 5*y**2 + 14*y wrt y. 720*y + 24 Find the third derivative of 12520*r**3 + 6841*r**2 wrt r. 75120 What is the second derivative of -9*s**4 + 2*s**2 - 1134*s? -108*s**2 + 4 Differentiate -4*d**3*j*l - 9*d**3*u + d**2*j*l**2 - 13*d**2*l**3*u + 19*d*j*l**3 - 5*d*j*u - 2*d*j wrt u. -9*d**3 - 13*d**2*l**3 - 5*d*j What is the third derivative of 2*c**4*n**2 + 383*c**4 + c**2 - 410*c*n**2 wrt c? 48*c*n**2 + 9192*c What is the first derivative of -2854*m + 2351 wrt m? -2854 Find the third derivative of 5*k**2*o**4 - 14*k**2*o**2 - 2*k**2 + k*o**2 + 2*o**6 wrt o. 120*k**2*o + 240*o**3 Find the second derivative of 879*d**2 + 275*d + 1 wrt d. 1758 Find the first derivative of 540*n*v - 99*n wrt v. 540*n Find the first derivative of -58*h**2 - 39*h - 9923 wrt h. -116*h - 39 Differentiate -12*m**4 + 33*m**3 - m**2 + 1416. -48*m**3 + 99*m**2 - 2*m What is the derivative of -28*g*l + g*s - 19*l*s - 10*s wrt l? -28*g - 19*s What is the second derivative of 2*c**2*l**2 + 6*c**2*m + 12*c*l**3*m - 6*c*l**3 + 223*c*l*m + l wrt l? 4*c**2 + 72*c*l*m - 36*c*l Find the second derivative of 3896*w**3 - w + 3137. 23376*w What is the third derivative of 1947*f**6*x - f**3*x**2 - 4*f**2*x - 5*f**2 + 8*f*x**2 + 2*x**2 wrt f? 233640*f**3*x - 6*x**2 Find the second derivative of -5013*g**2 - 54*g + 41 wrt g. -10026 What is the derivative of -127*d**3 + 364? -381*d**2 Find the third derivative of -a**3*m**2 - 38*a**3*m*s - a**3*m - a**3*s + 2*a**2*m*s + 2346*a*m**2 - 2*m*s wrt a. -6*m**2 - 228*m*s - 6*m - 6*s Find the first derivative of 2*n**4*v**2 - 65*n*v**2 - 67*v**2 wrt n. 8*n**3*v**2 - 65*v**2 Differentiate 4*t*x**3 - 11*t*x - t + 66 wrt x. 12*t*x**2 - 11*t What is the derivative of 45*n**2*o - n**2 - n + 6*o - 128 wrt n? 90*n*o - 2*n - 1 Differentiate 281*n**2*x**2*y + 2*n**2*x + 4*n**2*y - n*y + x**2 + 26*y - 1 wrt x. 562*n**2*x*y + 2*n**2 + 2*x Differentiate -55*l**3*p**3 - 24*l**2 - 33*p**3 + 19*p**2 wrt l. -165*l**2*p**3 - 48*l Find the third derivative of 191*h*k**6 + 2*h*k**5 - h*k**2 + 2*h*k - 2*k**3 - k**2 + 132 wrt k. 22920*h*k**3 + 120*h*k**2 - 12 Find the third derivative of -h**4*o - 36*h**4 - h**3*o - 15*h**2 - 6*h*o wrt h. -24*h*o - 864*h - 6*o Find the second derivative of -3*b**3*w**2 + 17*b**3*w - 39*b**2*w - 57*w**2 wrt w. -6*b**3 - 114 What is the first derivative of 3965*k - 2669 wrt k? 3965 What is the derivative of -3*a**2*o - 2*a**2*q**2*r - a**2*r - a*o*q**3 + 19*o*q*r + 12*q**3 wrt o? -3*a**2 - a*q**3 + 19*q*r Find the third derivative of 1067*p**3 - 3*p**2 + 288. 6402 Find the second derivative of -2*a*b**2 + 30*a*b + 89*b**2 - 19*b wrt b. -4*a + 178 Find the second derivative of -3*i**2*y**3 + 960*i**2*y + 77*y**3 wrt y. -18*i**2*y + 462*y What is the second derivative of 1033*t**2*y - 13*t*y - y - 14 wrt t? 2066*y What is the derivative of 297*w**2 + 603 wrt w? 594*w Find the third derivative of 7794*i**3 + 1101*i**2. 46764 What is the first derivative of -2531*p**2 + 921 wrt p? -5062*p What is the first derivative of 1732*i**3*j + 417*i**3 + 4*i**2 wrt j? 1732*i**3 Find the third derivative of -7068*z**4 + 2425*z**2 wrt z. -169632*z Find the second derivative of -40*j**3 - j**2 - 193*j + 2 wrt j. -240*j - 2 Find the third derivative of -15*w**6 - 4*w**3 + 296*w**2 - 2*w wrt w. -1800*w**3 - 24 What is the second derivative of -10517*k**4 + 19729*k wrt k? -126204*k**2 What is the second derivative of -2*p**2*u**3 + p**2*u**2 - 1590*p**2*u + 4*p*u**3 - 7*p*u**2 + 12*p + 2*u**3 wrt p? -4*u**3 + 2*u**2 - 3180*u What is the derivative of -p**2*s**3 - 2011*p**2 + 323*s**3 - 2*s wrt p? -2*p*s**3 - 4022*p Find the second derivative of 9812*o**2*s**3 + 743*o*s + s**3 wrt o. 19624*s**3 What is the third derivative of 289*a**3*f**2 + 51*a**2*f**2 + a**2 - 2*f**2 wrt a? 1734*f**2 Find the first derivative of u**2*w**2 + 29*u**2 - 30*u - 148*w wrt w. 2*u**2*w - 148 Find the second derivative of 17*g*s**5 + 12*g*s**4 + g - 5*s - 4 wrt s. 340*g*s**3 + 144*g*s**2 What is the second derivative of -42*q**2 - 118*q wrt q? -84 Find the first derivative of 5*s**4 + 253*s**2 + s - 1298. 20*s**3 + 506*s + 1 What is the second derivative of -10*h**3*j*x**2 + h**3*j - 16*h**2*j - 4*h*j*x**2 + 3*h*j*x + j*x**2 wrt h? -60*h*j*x**2 + 6*h*j - 32*j What is the first derivative of m**3 + 8475*m**2 - 27075 wrt m? 3*m**2 + 16950*m Find the first derivative of -15*c**4 - 16*c**3*y + 764*y wrt c. -60*c**3 - 48*c**2*y What is the second derivative of -692*p**4*w + 61
{ "pile_set_name": "DM Mathematics" }
Let k be d(-8). Is 14 a factor of (26/(-4))/(k/(-36))? False Let k(w) = -37*w**2 + 2*w - 1. Let c(s) = 75*s**2 - 5*s + 2. Let m(d) = 2*c(d) + 5*k(d). Let a be m(-1). Let g = a + 50. Is 5 a factor of g? False Let f(n) = n + 9*n + 11*n + 1. Is 16 a factor of f(1)? False Let r(l) = -20*l - 13. Let d be r(-6). Let j = -66 + d. Is 41 a factor of j? True Suppose -5*a = 4*v - 9, -4*a + 3*v = 4*v - 5. Let f be (-1 - a) + (-40)/(-1). Let i = 53 - f. Is 8 a factor of i? False Suppose 3*c + 4 = 10. Is 2 a factor of 44/12 + c/6? True Let l = 15 + -11. Suppose 0 = -i + 4*i + l*p - 74, -3*i = -2*p - 62. Suppose -i - 18 = -5*t. Does 4 divide t? True Let t(w) = -5*w + 0*w + 1 + 2*w + 2*w. Let r be t(8). Let f = 21 + r. Does 4 divide f? False Suppose 3*o = 5*h - 15, -o - 5*h + 35 = -6*o. Let q be 6/o*-5*1. Suppose 28 = x + q*x. Does 3 divide x? False Suppose -l - 29 = -8. Let v(j) = -4*j**3 + 2*j**2. Let o be v(-2). Let c = o + l. Does 9 divide c? False Let c be 10/(-25) + (-44)/(-10). Suppose -9 = c*j + 7. Is (-4 - -25) + j/2 a multiple of 7? False Is 26 a factor of (-2)/(248/252 - 1)? False Let j = -1 + 0. Let m(p) = -p**3 + 5*p**2 + p - 4. Let l be m(5). Is j/l - (-30)/1 a multiple of 19? False Let s(u) = -14*u**3 + u**2 - u - 1. Let b be s(-1). Is 6 a factor of -26*(-3 + b/6)? False Let o(d) = -3*d - d - 6 - 1. Does 10 divide o(-8)? False Let r(n) = n - 4. Let a be r(7). Suppose 0*l - 2*j - 3 = -a*l, l = j. Suppose -l*w + q + 37 = 0, 5*w + q = w + 40. Is 8 a factor of w? False Let c(o) be the first derivative of -2 + 1/2*o**2 + o**3 + 3*o. Is c(3) a multiple of 11? True Suppose -5*f = -8 - 32. Is f a multiple of 6? False Let c = -5 + 6. Let b = 1 - 0. Let g = c + b. Does 2 divide g? True Suppose -5*d + d = -w - 65, 5*w = -4*d + 59. Suppose d = -0*z + 4*z. Let c = 21 + z. Does 10 divide c? False Suppose -2*s = -0 - 6. Suppose v - s = 2. Suppose -5*c - v = -3*u - 94, -99 = -5*c - 2*u. Is c a multiple of 10? False Let w(j) = j**2 - 2. Let s be w(-2). Suppose 4*n + 4*o - 88 = 0, s*o - 5*o + 88 = 4*n. Is n a multiple of 11? True Let o(h) = -h**3 - 5*h**2 - 2*h - 4. Suppose -x + 3*z + 17 = 0, -2*z = -x - 0*z + 13. Let d = -11 + x. Is o(d) a multiple of 17? False Let b = -10 + 5. Let a = 5 + b. Is (-33 + -9)/(a + -1) a multiple of 14? True Let h be (1 - -2)*4/(-6). Let c be 1*(h + 1)*-35. Let n = 50 - c. Is n a multiple of 12? False Let t(c) = 14*c**2 - 2*c. Let j = 1 - -1. Let i be t(j). Suppose i = 3*l + l. Is 13 a factor of l? True Suppose -20 = 4*o, 2*h - 4*o = -2*h + 468. Suppose -r - r + h = 0. Suppose -r = 2*d - 6*d. Does 7 divide d? True Let j be (3/(3/(-4)))/(-2). Suppose -j*t - 80 = -7*t. Does 14 divide t? False Let d(k) = 21*k + 22. Let j(b) = 31*b + 33. Let m(w) = -7*d(w) + 5*j(w). Let g be (-4)/(-6) + (-66)/(-9). Does 19 divide m(g)? False Let l = 35 - 11. Is 11 a factor of (27 + 1)*18/l? False Suppose 5*f = -0*f + 5. Let u be f/((6/(-3))/(-30)). Is (u/(-4))/((-2)/8) a multiple of 6? False Does 10 divide 1 - 19/(-5 + 4)? True Let h(a) = 2*a**2 - 8*a - 18. Does 11 divide h(8)? False Suppose -4 - 11 = -5*m. Is 8/m*18/4 a multiple of 10? False Let c(n) = -2*n - 4. Let k be c(-3). Suppose -k*g + 7*g - 120 = 0. Is 12 a factor of g? True Let d be ((-1)/(-2))/((-2)/(-24)). Let j(g) = g**2 + 8*g - 22. Let o be j(-10). Let h = o + d. Is h a multiple of 2? True Let p be (-1)/(-3) + 1/(-3). Let h be 8 + (2 - 1) + p. Let n = h + 8. Does 8 divide n? False Let b(q) = 7 - 3 - 15*q + 3*q. Let v be b(3). Is (42/4)/((-12)/v) a multiple of 19? False Let o be (-1)/(2 + -3) - -2. Let j = 87 - 81. Let i = o + j. Is 5 a factor of i? False Is 16 a factor of -1*(7 - 6) - (-218 - 0)? False Let q = 121 + -62. Is 11 a factor of q? False Let h = 7 + -11. Let r be h/(-12) + (-14)/6. Is 13 a factor of (-4 - r) + 17 + 2? False Let k(g) = g**3 - 7*g**2 + g - 3. Let y be k(7). Let u = y + -2. Suppose -2*i + 20 = u*i. Is i a multiple of 2? False Suppose -2*z = -4*h + 2*h - 116, -5*h - 20 = 0. Is (z/15)/((-12)/(-90)) a multiple of 8? False Suppose 0 = -k + 2*k. Suppose i + k = 2. Suppose i*y - 6 = 24. Is y a multiple of 9? False Suppose 0 = -4*h + 8*h + 72. Is (-6)/3 - h - -2 a multiple of 8? False Suppose 33 = 5*p + 3. Suppose 3*x - p*x + 33 = 0. Does 11 divide x? True Let y(x) = 5*x - 12. Let h(z) = -z**3 - 8*z**2 - 9*z - 6. Let q be h(-7). Is y(q) a multiple of 17? False Let s(x) = -21*x + 3. Let i be s(2). Let w be 46/8 - (-2)/8. Is (i + 0)*(-4)/w a multiple of 13? True Suppose -2*n + 64 = 26. Is 19 a factor of n? True Let f = -7 - -3. Is 8 a factor of 19 - (-2)/f*-2? False Let z(c) = c + 14. Let t(j) = -j**2. Let n(s) = t(s) + z(s). Is 13 a factor of n(0)? False Let t(o) = -o**3 - 10*o**2 + 9*o - 16. Let x be t(-11). Suppose 2*n = -x, n = p - 2*n - 37. Is 14 a factor of p? True Let d(y) = y**3 + 7*y**2 - y - 4. Let b be d(-7). Suppose -r - b*r = -12. Does 2 divide r? False Let l(y) = -3*y**3 - y**2 - 2*y + 9. Let v(h) = 2*h**3 + 2*h - 8. Let i(k) = 3*l(k) + 4*v(k). Let p be i(-4). Let t = p + -1. Is t a multiple of 2? True Let d(r) = 23*r**3 - 2*r**2 + r + 2. Is d(2) a multiple of 20? True Let q = 1 - -3. Suppose 3*i - 1 = -10, 0 = q*l + 4*i + 36. Does 22 divide 3/6 + (-165)/l? False Let a(w) = w**2 - 17*w + 15. Does 4 divide a(18)? False Let t(z) = -3*z + 5. Let x be t(4). Suppose 0*n + 3*n - 57 = 0. Let m = x + n. Is 6 a factor of m? True Suppose g - 4 = 0, -5*k = 4*g + 53 - 254. Is k a multiple of 11? False Suppose 4*x - 1324 = -4*n, 0 = 5*x + 3*n - 2135 + 482. Is x a multiple of 54? False Let n = 16 - 16. Suppose -2*x + 5*l = -146, n*l + 365 = 5*x - l. Does 13 divide x? False Let o be 2/(5/((-1810)/(-4))). Suppose -5*r + 2*w = -189, -5*r = 2*w - 0*w - o. Suppose -124 = -4*x - 4*n, r = -5*x + 5*n + 162. Is 14 a factor of x? True Suppose -6*r + 139 - 31 = 0. Does 18 divide r? True Let p(l) = -29*l + 2. Let v be p(-1). Let a = -26 + v. Is a a multiple of 4? False Let g(r) = r**3 + 3*r**2 - r - 1. Let b be g(-4). Let d(k) = -2*k**2 + 4. Let m be d(4). Let c = b - m. Is c a multiple of 12? False Let q(l) = l**3 + 13*l**2 - 17*l - 16. Suppose -2*n = -2*t - 6*n - 40, -t - 3*n = 23. Is 13 a factor of q(t)? True Let b = -5 - -3. Let w = b - -4. Suppose 3*d + 2*n - 176 = -w*n, n = 5*d - 301. Is 21 a factor of d? False Let t(j) = j. Let s(a) = -a + 9. Let n(b) = -s(b) - 6*t(b). Let p = 5 + -15. Is 14 a factor of n(p)? False Let k be (30/24)/((-2)/8). Let n = 9 + k. Suppose 3*r + 19 = n*r. Does 8 divide r? False Let j = -100 + 205. Let o = -21 + j. Is 28 a factor of o? True Suppose 5*y + 3*l - 2*l + 46 = 0, 2*y + 15 = 3*l. Let h(j) = j**2 + 5*j + 3. Is 13 a factor of h(y)? True Let l(j) = -3*j - 4. Let i be (2/(-4))/(1/6). Let r be l(i). Suppose 0 = r*h - 0*h - 80. Is h a multiple of 16? True Let p be (-16)/6*(-9)/2. Let v = 18 - p. Does 7 divide (-3)/9 + 98/v? False Suppose h - 20 = 3*k, -4*h + 7*k = 2*k - 52. Suppose -5*z + 0*z - 12 = 3*a, -2*a - h = 3*z. Suppose 2*j + 4 = 0, z = d + 3*j - 6 - 6. Does 7 divide d? False Let m(o) = o**2 - o - 34. Let c be m(0). Let y = -20 - c. Is y a multiple of 11? False Suppose -g = -3*g - 8. Let x be g*(6/4)/3. Is x/3*6*-5 a multiple of 12? False Is 11 a factor of (-63)/(-2) - (5 + 18/(-4))? False Let u(q) = 4*q - 1. Let p be u(1). Let n(d) = d**3 + d**2 - 2*d - 2. Is n(p) a multiple of 14? True Suppose -5*u + u - 667 = -3*v, -3*v + 671 = -2*u. Is v a multiple of 45? True Suppose 0 = -5*z + 3*z. Suppose -4*m + k = -68 - z, 5*k - 38 = -m. Is m a multiple of 9? True Suppose -3*m = -11 + 47. Let l = m - -21. Is l a multiple of 7? False Let h = 6 + -4. Suppose -k + 12 = -0*k - h*m, 0 = -k - 2*m - 8. Suppose 5*w = 4*s + 159, 0*w + k*w = -4*s + 58. Does 13 divide w? False Suppose 2*t - 88 = -2*t. Suppose t + 11 = 3*s. Does 11 divide s? True Suppose 5*p - 4 = 6*p. Let r(s) = -3*s - 4. Is r(p) a multiple of 3? False Let q = -2 - -4. Suppose -q*j - j = 18. Does 9 divide (-4)/6 - 118/j? False Let v(i) = i**3 - 9*i**2 + 9*i + 9. Let n be v(8). Let z = 7 + n. Does 16 divide z? False Let l(x) = x**3 - 5*x**2 + x + 3. Let w = 9 - 7. Suppose w*r - 7 = 5*k, 3*r - 8*r - 3*k = -33. Is l(r) a multiple of 12? False Suppose 13*n = 1868 + 2084. Is n a multiple of 38? True Suppose 0 = -4*z - 2*c - 10 - 20, -c = 4*z + 29. Suppose 6*m = m - 60. Let i = z - m. Does 5 divi
{ "pile_set_name": "DM Mathematics" }
ich is the third smallest value? (a) -9.873228 (b) 4 (c) 7 c What is the smallest value in -393295, -1, 3/7? -393295 What is the sixth biggest value in -2/7, 0.3, -5/9, 1, 11, 772, -1? -5/9 What is the second biggest value in -3, 0.08, -9, -2/21, 1/7, 0.2, 5? 0.2 What is the fourth biggest value in -8, -1/2166, -1, -4/993? -8 What is the biggest value in 1/2, 25.43, 16, 4303, 3? 4303 What is the biggest value in -1/2, -92103.7, 2? 2 What is the third smallest value in -6, -5, 23/184426, -0.4? -0.4 Which is the fourth biggest value? (a) 483 (b) 1/9 (c) 1 (d) -0.000953 d What is the second biggest value in 2/9, 0.107, -3/8, 1/6, 574? 2/9 What is the fourth smallest value in 780, 24, -0.16, 44? 780 What is the third biggest value in 18994, -0.1, -6/13? -6/13 Which is the sixth biggest value? (a) -5 (b) -0.4 (c) -9 (d) 4 (e) 48/11 (f) 24 (g) -2/9 a Which is the second biggest value? (a) 19778.7413 (b) 1 (c) -4 b What is the fifth smallest value in -1, -2/7, 0.2, -0.1, 113.633, 3? 3 What is the second smallest value in 29608366, -0.3, -2/3? -0.3 What is the third smallest value in 1180.1, -1/4, 18? 1180.1 What is the smallest value in 1.8, -170, 0.4, 14, 2/6283? -170 Which is the fifth biggest value? (a) 7/4 (b) -1893 (c) 5 (d) -5/2 (e) 0.083 b Which is the fourth biggest value? (a) 5 (b) 0.3 (c) -178 (d) 2/11 (e) 4 (f) -54 (g) -1/8 d What is the sixth smallest value in 0, -73/6, 1/4, -6, -8, 119? 119 What is the biggest value in 2, -5, 737, 163? 737 Which is the fifth smallest value? (a) 0.013 (b) 3 (c) -2/19 (d) -15/62 (e) -1/4 (f) -5 a What is the third smallest value in 11, 4/9, 0.58, -1, -77/6? 4/9 Which is the fifth smallest value? (a) 46 (b) -7 (c) 210 (d) 0.8 (e) 5/2 c What is the biggest value in -1334, -0.7614, -2/3? -2/3 Which is the second biggest value? (a) 1.68 (b) -9.5 (c) -1 (d) -40 (e) -0.4 e Which is the sixth biggest value? (a) -0.1 (b) 5 (c) -119 (d) 47 (e) -1/3 (f) -2/29 (g) 0.3 e Which is the smallest value? (a) 1/16 (b) -182/53 (c) -0.2 b What is the second biggest value in 155/706, 0.4, 3, 0.33, 1/3, 1/8? 0.4 What is the third biggest value in -1/5, 4, 10749/2, -0.93? -1/5 What is the third biggest value in 17409, 3/4, -3, -5/21? -5/21 Which is the fifth smallest value? (a) -0.5 (b) 2 (c) -2/31 (d) 46 (e) 3/5 (f) -0.2 (g) -0.6 e Which is the smallest value? (a) -294 (b) 9 (c) 474 (d) 3/4 (e) 0 a Which is the fifth smallest value? (a) -5/6 (b) -1/8 (c) 0.88 (d) -2/11 (e) -3 (f) -17 b Which is the biggest value? (a) 50 (b) 19071 (c) 1 b Which is the sixth biggest value? (a) -0.3 (b) -170 (c) 7 (d) -3 (e) -254 (f) 3 e Which is the second smallest value? (a) 3 (b) 1.1 (c) -41/72 (d) 3/4 (e) -6/5 (f) -1/3 c Which is the second smallest value? (a) 0.3017 (b) 1.2 (c) 11/4 b What is the fourth biggest value in 0, 108, -4, -2/3, 2, 0.0021, 1? 0.0021 What is the second biggest value in 0, -6555, 2/5, 0.6, -0.3, -3? 2/5 What is the second smallest value in 1.8, 47, -2/35, 30? 1.8 What is the second smallest value in -0.3, -47, -1, 1061, 3/8, -2/5? -1 What is the third smallest value in -2/3, 22, -3831? 22 What is the second biggest value in 10.7, 5, -8368? 5 What is the third biggest value in 0, -2, 1001, -0.3, 1, 2? 1 Which is the third smallest value? (a) 146690 (b) -0.31 (c) 4 (d) 2/3 c Which is the second biggest value? (a) -75 (b) -3 (c) -33 (d) 0.4 (e) -1 (f) -1/6 (g) -0.2 f What is the second smallest value in 1.508, -0.2, -53, -0.1? -0.2 What is the second biggest value in -2, 956.1, -285? -2 Which is the third biggest value? (a) 26 (b) 28.996 (c) -3 c Which is the fifth biggest value? (a) 0 (b) -55/6 (c) -2484 (d) 2/13 (e) 3/8 (f) 0.3 (g) -4 g Which is the fifth biggest value? (a) -2/309 (b) 0.3 (c) 0.09 (d) -0.3 (e) 2 (f) -2 d What is the third biggest value in -3, -4/13, -400.039? -400.039 Which is the second biggest value? (a) 8441 (b) -1/5 (c) 7163 c Which is the sixth smallest value? (a) -0.02 (b) 6/13 (c) -2012 (d) -0.5 (e) 1 (f) -3 e Which is the third smallest value? (a) 1 (b) -37 (c) 0 (d) 1/12 (e) 1/7 (f) 0.5 (g) 21.7 d Which is the biggest value? (a) 2/25 (b) -2.43 (c) 1 (d) 3/2 (e) -2/5 (f) -3 (g) -26 d What is the third biggest value in -0.3, -3, 18939? -3 Which is the third biggest value? (a) 2/3 (b) -5 (c) 6 (d) 2/5 (e) 4 (f) 750 (g) -7 e What is the sixth smallest value in 1/4, -10/7, 2/19, 2/11, -2/293, -3/37, 0.5? 1/4 What is the fourth biggest value in -1/5, 4, 164, 23, 0.15? 0.15 Which is the biggest value? (a) 5 (b) -0.3 (c) -5 (d) 2 (e) -278645 (f) 1 a Which is the second biggest value? (a) -4 (b) 8 (c) 11 (d) -1/6 (e) -3 (f) 0.2 b Which is the third smallest value? (a) 2 (b) -2/1516117 (c) 3 (d) 8 c Which is the biggest value? (a) 30 (b) -5 (c) -7974236 a What is the fifth biggest value in 195, -2.9, -2, -5.7, 0? -5.7 Which is the fifth biggest value? (a) 0.25 (b) -627 (c) -3/5 (d) 5 (e) -20 b Which is the seventh smallest value? (a) -0.1 (b) -6 (c) 5 (d) -15/73 (e) -5 (f) -4137 (g) -1 c Which is the second biggest value? (a) -2/5 (b) 1 (c) 0.1 (d) 5 (e) -18668 (f) 202 d Which is the biggest value? (a) 59 (b) 853 (c) -7 (d) -2 (e) -4 b Which is the smallest value? (a) 1.8 (b) -0.2 (c) 0.5 (d) 3/79 (e) -5 (f) -1/12 (g) -2/17 e What is the smallest value in 26, -5, 1.77, 2/8183? -5 Which is the sixth smallest value? (a) 2/29 (b) -0.1 (c) 49132 (d) -3 (e) -1/7 (f) 1.1 c What is the third smallest value in 5, 31/76338, -0.4? 5 What is the second smallest value in -37.4, 0.3, -0.0362? -0.0362 Which is the third biggest value? (a) -79 (b) -6158 (c) -197 b Which is the third smallest value? (a) 3/2 (b) 54245 (c) -2 (d) -15 (e) -25 c What is the smallest value in 0.21, 2/5, -1/99, -4, 2650? -4 Which is the second biggest value? (a) -4 (b) 0.1 (c) 29121 (d) 3 (e) 1/2 (f) 1 d Which is the smallest value? (a) -51 (b) -143 (c) -6 (d) 13 b Which is the fourth smallest value? (a) -0.4 (b) -5 (c) -3/2 (d) 172 (e) 4.94 e What is the seventh smallest value in -0.04, -123, 4.3, 1, -0.1, 1/6, -1/5? 4.3 Which is the biggest value? (a) -4 (b) 240 (c) 58/13699 b What is the smallest value in 0.07, -3, -4/359, -9/2, 2/9, 0.33? -9/2 Which is the second smallest value? (a) -9608 (b) -37 (c) 0.4 b Which is the fourth smallest value? (a) 2/9 (b) -7 (c) -52.83 (d) 0.2 (e) -0.15 d What is the third smallest value in 0.2, -1330251, -0.1? 0.2 What is the third smallest value in 13, 0.4, -4, -12193? 0.4 What is the third biggest value in -2/7, -0.4, 0.0446824, -3? -0.4 What is the third smallest value in 57011, 1/10, -2/5? 57011 Which is the smallest value? (a) 9 (b) 5582 (c) 5/7 c What is the third biggest value in -63, 34, -12096? -12096 Which is the second biggest value? (a) 0 (b) -0.1 (c) -99976327 b Which is the second smallest value? (a) 0.1 (b) 1/5 (c) -319 (d) -21 (e) 2/13 (f) 26 d What is the seventh smallest value in -2, 69, 0.4, -4, 0.2, -0.2, -14? 69 Which is the smallest value? (a) -1/3 (b) 7/5 (c) -93910 c What is the biggest value in -0.2, -255.09, 975/2? 975/2 Which is the second smallest value? (a) 0.032 (b) 4994 (c) -0.4 (d) -0.3 d Which is the fifth biggest value? (a) -0.2 (b) -0.5 (c) 0.0535 (d) 3/5 (e) -1 (f) 3/7 (g) 1/4 a Which is the biggest value? (a) -0.1 (b) -222/7 (c) -4 (d) -4217 (e) -0.08 e Which is the fifth smallest value? (a) -4/11 (b) 5 (c) 0.342 (d) -40 (e) -14.5 b Which is the biggest value? (a) -5 (b) -4/7 (c) 8/5 (d) -4.907 c What is the second biggest value in 22, 21, 117, -3.6, 1? 22 Which is the sixth biggest value? (a) 93 (b) 1 (c) 0.5 (d) 1/7 (e) 45 (f) 3 (g) -2 d What is the fourth biggest value in 212, -2, -0.15, 2, -3133? -2 Which is the second smallest value? (a) 0.2 (b) -0.4 (c) 2040/74429 c What is the fourth biggest value in 1/4, 0.3, -0.2, -0.4, -5412.6, -117? -0.4 Which is the sixth smallest value? (a) 0.4 (b) 28 (c) -175 (d) -564 (e) -0.3 (f) 4/7 b Which is the biggest value? (a) 1 (b) 88 (c) 6 (d) -1 (e) 0.04 b What is the third smallest value in -639.3, 832, -0.3? 832 What is the secon
{ "pile_set_name": "DM Mathematics" }
(-8). 37 Let l(s) = -s**3 + 3*s**2 - 335*s + 662. Determine l(2). -4 Let d(z) = 856*z - 5923. Determine d(7). 69 Let z(h) = h + 9. What is z(2)? 11 Let b(k) = -k**2 + 68*k - 13. Give b(67). 54 Let d(x) = -x**2 + 14*x - 118. Calculate d(14). -118 Let y(x) = x**2 - 113*x - 825. Give y(-7). 15 Let t(x) = 203*x - 204. Calculate t(1). -1 Let l(h) = 228*h - 19612. Give l(86). -4 Let p(t) = 2*t**3 - 32*t**2 + 32*t - 28. Calculate p(15). 2 Let y(j) = 197*j + 9851. What is y(-50)? 1 Let z(t) = t**3 - 20*t**2 + 55*t + 9. Determine z(17). 77 Let v(w) = -3*w**2 - 84*w - 48. Give v(-27). 33 Let z(a) = -55*a**2 - 17*a - 14. Give z(-1). -52 Let z(a) = -195*a + 4775. What is z(25)? -100 Let t(v) = v**2 - 70*v + 63. Calculate t(69). -6 Let r(p) = 2*p**3 + 64*p**2 - 40*p - 24. Determine r(-33). -882 Let p(r) = r**3 - 5*r**2 - 29*r + 12. Determine p(-7). -373 Let l(g) = g**3 + 111*g**2 - 394*g - 5944. Give l(-114). -16 Let b(d) = 446*d**3 - 29*d**2 - 28*d + 1. Determine b(-1). -446 Let f(y) = 3*y**3 - 62*y**2 - 18*y - 91. What is f(21)? -28 Let l(i) = 3*i**2 - 215*i + 216. Calculate l(1). 4 Let y(s) = -2*s**3 + 10*s**2 + 27*s - 131. What is y(5)? 4 Let p(c) = 8*c**2 + 464*c + 164. What is p(-58)? 164 Let v(y) = -y**2 - 101*y + 1213. What is v(11)? -19 Let r(c) = 2*c**3 + 66*c**2 + 24*c - 8. Determine r(-32). 1272 Let v(w) = 3*w**2 - 30*w - 33. Give v(0). -33 Let n(w) = -3*w**2 + 354*w + 9227. What is n(140)? -13 Let t(g) = 47*g + 1686. Calculate t(-36). -6 Let h(p) = -56*p - 10. Calculate h(1). -66 Let k(y) = -y**2 + 12*y + 432. What is k(-32)? -976 Let y(v) = 8*v**2 + 3*v + 58. Calculate y(-6). 328 Let j(c) = c**2 - 475*c - 3349. What is j(-7)? 25 Let z(m) = -m**2 - 2*m - 35. What is z(-8)? -83 Let w(z) = 12*z + 273. What is w(-28)? -63 Let y(u) = -u**3 - 3*u**2 - 5*u - 4. Give y(-3). 11 Let u(l) = 42*l - 2849. Give u(69). 49 Let t(q) = 2*q**3 - 6*q**2 - 26*q - 32. Determine t(-4). -152 Let y(o) = -3333*o + 23335. Give y(7). 4 Let b(a) = 2780*a - 8346. Calculate b(3). -6 Let p(s) = -26*s**2 - 2990*s + 15. Determine p(-115). 15 Let g(d) = 11*d**2 - 193*d - 91. Determine g(18). -1 Let q(f) = 14*f**2 - 243*f + 110. Give q(17). 25 Let n(m) = m**2 - 59*m + 890. Determine n(25). 40 Let w(b) = 14*b**3 - 99*b**2 + 4*b + 30. Calculate w(7). 9 Let i(d) = d**3 + 47*d**2 - 4*d + 79. Give i(-47). 267 Let t(x) = 407*x**3 - 3*x**2 - 5*x - 4. What is t(-1)? -409 Let f(x) = 3*x**3 - 51*x + 137. What is f(3)? 65 Let u(i) = i**3 + 143*i**2 + 290*i + 1109. Calculate u(-141). -19 Let o(t) = -t**2 + 107*t - 49. Give o(0). -49 Let u(n) = -564*n + 4137. Give u(7). 189 Let i(p) = 116*p + 3008. Calculate i(-26). -8 Let z(t) = t**3 + 8*t**2 + 21*t + 14. Determine z(-7). -84 Let k(v) = v**3 + 19*v**2 + 41*v + 103. Give k(-17). -16 Let j(t) = t**3 + 43*t**2 + 33*t - 404. What is j(-42)? -26 Let q(f) = f**2 + 380*f + 12994. Give q(-38). -2 Let u(n) = -n**3 + 18*n**2 + 3*n - 3. Give u(18). 51 Let d(r) = -7446*r + 22335. Determine d(3). -3 Let m(z) = 7404*z - 14816. Determine m(2). -8 Let w(r) = -r**3 + 4*r**2 + 69*r + 58. Calculate w(11). -30 Let u(m) = 254*m - 3542. Give u(14). 14 Let y(m) = -2*m**2 - 65*m - 374. What is y(-20)? 126 Let v(h) = -2*h**3 + 3*h**2 + 20*h + 7. What is v(-7)? 700 Let j(k) = k**3 - 9*k**2 + 7*k - 92. What is j(9)? -29 Let o(d) = -205*d + 1599. Determine o(8). -41 Let t(a) = -391*a - 48. Calculate t(-1). 343 Let l(c) = -92*c + 4688. Give l(51). -4 Let l(j) = 3*j**2 + 204*j - 2898. Determine l(-80). -18 Let w(p) = 4*p**2 - 27*p + 59. What is w(9)? 140 Let h(m) = 785*m + 19627. Calculate h(-25). 2 Let g(p) = -2*p**2 - 34*p - 48. What is g(-20)? -168 Let i(k) = -2*k**3 + 12*k**2 - 8*k - 10. What is i(5)? 0 Let v(u) = 542*u**2 + 5417*u - 4. What is v(-10)? 26 Let w(o) = 4*o**2 - 186*o + 944. Determine w(41). 42 Let f(i) = 17*i - 451. Determine f(20). -111 Let p(x) = -35*x - 262. Calculate p(7). -507 Let v(a) = -924*a - 12012. Give v(-13). 0 Let f(q) = -2*q**3 - 47*q**2 + 40*q + 392. Calculate f(-24). 8 Let a(k) = 11*k**2 - 59*k - 64. Determine a(-1). 6 Let o(a) = -2*a**2 + 283*a - 10. What is o(0)? -10 Let g(b) = 11*b**2 - 320*b - 622. Determine g(31). 29 Let j(a) = 143*a - 524. Give j(6). 334 Let c(a) = 2*a**3 + 4*a**2 - 193*a + 52. Determine c(-11). -3 Let a(g) = -11*g**3 - 207*g**2 + 39*g + 21. Determine a(-19). 2 Let b(h) = -h**2 + 39*h + 47. Calculate b(38). 85 Let d(a) = -18*a + 480. Give d(29). -42 Let b(s) = 12*s + 136. Give b(-11). 4 Let m(g) = -2*g**3 + 19*g**2 - 15*g + 9. Determine m(6). 171 Let v(o) = 186*o - 386. Determine v(2). -14 Let j(v) = -36*v - 544. Give j(-12). -112 Let u(y) = -y**2 - 13*y + 1938. What is u(-51)? 0 Let a(t) = 2*t**3 + 108*t**2 + 102*t - 219. Give a(-53). -7 Let j(m) = m**3 + 16*m**2 + 43*m + 1051. Calculate j(-17). 31 Let r(i) = 1604*i + 17688. Calculate r(-11). 44 Let o(n) = -345*n + 8257. Calculate o(24). -23 Let n(i) = -55*i**2 + 2309*i + 84. What is n(42)? 42 Let i(m) = -7*m - 3. Determine i(3). -24 Let v(x) = 40*x + 115. Determine v(-15). -485 Let l(k) = 21*k + 120. What is l(-8)? -48 Let y(d) = -2*d**2 + 96*d + 74. What is y(49)? -24 Let n(o) = -o**3 + 111*o**2 + 117*o - 419. Calculate n(112). 141 Let z(a) = a**3 - 85*a**2 + 165*a + 323. Determine z(83). 240 Let s(l) = 650*l - 3850. Give s(6). 50 Let y(c) = c**2 + 61*c + 807. Determine y(-19). 9 Let r(o) = -43*o - 34. Determine r(2). -120 Let l(n) = n - 138. Give l(-23). -161 Let y(x) = -19*x**3 + 155*x**2 - 20*x - 8. Determine y(8). 24 Let b(w) = -w**2 + 21*w - 17. What is b(22)? -39 Let f(n) = -209*n + 11722. Give f(56). 18 Let q(n) = 2*n**3 + 65*n**2 - 33*n - 3. What is q(-33)? -3 Let b(s) = 199*s + 8981. What is b(-45)? 26 Let k(s) = -4*s**3 + 133*s**2 + 16*s - 1609. Determine k(33). 8 Let m(n) = -558*n + 6125. Calculate m(11). -13 Let s(w) = -17*w**2 - 4*w. Calculate s(3). -165 Let n(q) = -q**3 + 6*q**2 - 7*q - 3. What is n(5)? -13 Let b(n) = -n**3 + 53*n - 134. What is b(5)? 6 Let f(k) = -k**2 + 1044*k - 8277. Give f(8). 11 Let m(j) = j**2 + 194*j + 2379. Determine m(-13). 26 Let p(r) = 6*r - 123. Calculate p(30). 57 Let u(c) = c**3 + 24*c**2 + 26*c + 439. Determine u(-24). -185 Let k(z) = -z**2 - 90*z + 1434. Determine k(14). -22 Let j(r) = r**3 + 10*r**2 + 2*r - 7. Calculate j(-10). -27 Let r(a) = -a**2 + 597*a + 17494. Give r(-28). -6 Let a(n) = -2*n**2 + 7*n + 31. What is a(-3)? -8 Let i(f) = 20*f - 144. Determine i(-18). -504 Let f(k) = -11*k - 50. Give f(-14). 104 Let f(d) = -35*d - 9. What is f(2)? -79 Let m(a) = -a**2 + 13*a + 11. Determine m(10). 41 Let r(q) = -q**3 + 27*q**2 - 128*q + 17. Calculate r(6). 5 Let x(d) = 122*d + 10. Calculate x(0). 10 Let t(j) = 846*j + 836. Determine t(-1). -10 Let n(m) = m**2 - 35*m - 232. Give n(-5). -32 Let m(n) = -8*n**3 - 561*n**2 - 67*n + 209. Calculate m(-70). -1 Let v(u) = 39*u**2 + 91*u + 176. Calculate v(-2). 150 Let s(r) = -r**3 - 63*r**2 - 512*r + 946. What is s(-53)? -8 Let o(m) = -21*m**3 + 335*m**2 + 19*m - 48. Determine o(16). 0 Let i(o) = -453*o - 44404. What is i(-98)? -10 Let s(r) = r**3 - 250*r**2 - 2058*r + 18. Give s(-8). -30 Let t(k) = 4*k**2 - 268*k + 1686. Calculate t(7). 6 Let a(j) = -8*j + 4. Calculate a(-1). 12 Let p(m) = -273*m + 654. Calculate p(2). 108 Let l(g) = -g**2 + 45*g + 32. Give l(46). -14 Let g(v) = 713*v + 2858. What is g(-4)? 6 Let t(a) = 4*a**2 + 2*a + 4. Give t(-1). 6 Let g(y) = 32*y**2 - 372*y + 1057. What is g(5)? -3 Let z(k) = 23*k - 21. Give z(-1). -44 Let t(l) = 13*l**2 + 11*l - 11. Calculate t(-4). 153 Let t(g) = -4*g**2 + 3681*g + 25962. What is t(-7)? -1 Let n(s) = 3*s**2 + 42*s - 47. What is n(-19)? 238 Let j(m) = m**3 + 236*m**2 + 36*m + 8494. Determine j(-236). -2 Let m(j) = -129*j - 132. Give m(-1). -3 Let r(k) = k**2 + 77*k + 1427. Calculate r(-30). 17 Let b(t) = 68*t**2 - 333*t - 1. Give b(6). 449 Let w(k) = -k**2 - 15*k + 159. What is w(-22)? 5 Let a(o) = 229*o + 1128. Give a(-6). -246 Let p(i) = -18369*i + 18360. Determine p(1). -9 Let f(a) = -213*a + 633. Calculate f(3). -6 Let w(s) = s**3 - 8*s**2 - 6*s + 11. What is w(8)? -37 Let s(v) = -v**3 - 26*v**2 - 132*v - 2017. Give s(-24). -1 Let f(m) = 5*m + 88. What is f(-3)? 73 Let n(r) = -81*r - 8570. Give n(-106). 16 Let z(g) = -g**3 - 33*g**2 + 325*g + 20. What is z(8)? -4 Let r(q) = q**3 + 15*q**2 + 28*q + 27. Dete
{ "pile_set_name": "DM Mathematics" }
on divisor of g and r? 9 Let l = -99 - -179. Suppose -212 = -v - 3*v + 2*a, a = 3*v - 161. Suppose -5*c - 5*y = -v, 4*c = -4*y + y + 43. Calculate the greatest common factor of c and l. 10 Let f(c) = -c**3 + 3*c - 4. Let w be f(-3). Calculate the highest common factor of 28 and w. 14 Let g = 9 + -3. Suppose 0 = 5*t - 34 + 9. Suppose -c + t + 1 = 0. Calculate the greatest common factor of c and g. 6 Let x(g) = 5*g - 10. Let u(f) = 11*f - 21. Let q(o) = 6*u(o) - 13*x(o). Let a be q(4). Calculate the highest common factor of a and 40. 8 Let f = 113 + -38. Calculate the greatest common divisor of f and 30. 15 Let b(r) = 0*r - 3*r**2 + 2 + 0*r**2 + 3*r - 5*r - r**3. Let m be b(-3). Calculate the greatest common divisor of m and 16. 8 Let x(m) = -2*m - 1. Let w be x(-3). Suppose -4 = -0*c - c, -w*c + 335 = 5*p. Calculate the highest common factor of 7 and p. 7 Let j be 126/8 + 3/12. Let h = 36 - 20. Calculate the highest common factor of j and h. 16 Let o = 3 - -8. What is the greatest common factor of o and 1? 1 Let h be -3 + 5 - (1 - 4). Suppose 2*z - 8 = -0*z. Suppose -s - 60 = -z*s. What is the highest common divisor of s and h? 5 Let p be ((-6)/10)/((-3)/15). Let w = -14 + 35. Calculate the greatest common divisor of p and w. 3 Suppose 0*y + 2*y = 6. Suppose 1 + y = v. Suppose -2*a - 3*g - 13 = 0, g = 2*a - v*g - 27. Calculate the greatest common factor of a and 11. 1 Suppose -5*b + 4*b = -6. Let k be (30/(-4) + 0)*-12. Suppose -3*x + 8*x - k = 0. What is the highest common divisor of x and b? 6 Let m = 34 - -21. Calculate the highest common divisor of 22 and m. 11 Let c = 14 + -6. Calculate the highest common divisor of 1 and c. 1 Let q = -10 + 17. Suppose 3*f + 10 = -5*r, f + 5*r + 10 = 6*f. Suppose -b = -f*b - q. Calculate the highest common divisor of 7 and b. 7 Let i(x) = x + 12. Let u be i(9). Calculate the greatest common divisor of u and 28. 7 Let r = -21 + 7. Let c = 8 - r. What is the greatest common factor of 11 and c? 11 Let p(h) = h**3 - 3*h**2 - 4*h + 2. Let q be p(4). Suppose 0 = 2*d + 3*d - 80. What is the highest common factor of d and q? 2 Let q be (-6)/33 + 233/11 + 3. Calculate the greatest common factor of q and 192. 24 Let h be 14/(-6)*6*2/(-4). Calculate the highest common divisor of h and 21. 7 Let q = -5 + 10. Calculate the greatest common divisor of q and 5. 5 Suppose 56 = 2*q - 74. Calculate the greatest common divisor of 13 and q. 13 Let j = -111 - -133. What is the highest common divisor of j and 88? 22 Suppose 2*z = w - 2 - 21, 5*w - 122 = 3*z. Let i(q) = 11*q - 34. Let p be i(4). What is the greatest common factor of w and p? 5 Suppose 0 = p - 5*a - 14, 5*p - a = 2*p + 70. What is the highest common factor of 264 and p? 24 Let r(j) = j**3 + 2*j**2 + 2*j + 256. Let g be r(0). Calculate the greatest common factor of 64 and g. 64 Let v = -506 + 1238. Let r(k) = -k**2 + 5*k - 3. Let s be r(3). Suppose 5*f - s*m = v, f - 140 = -0*m - m. What is the highest common factor of f and 16? 16 Let m be (-245)/(-28) + (-2)/(-8). Suppose 6 + m = f. What is the highest common factor of f and 10? 5 Suppose -4*z = -5*g + 98, 0 = -2*g - 2*z + 7*z + 46. Let u be (22 - 4)*((-20)/(-15) - 1). What is the highest common factor of g and u? 6 Let t(s) = 2*s**3 - 19*s**2 - 9*s + 10. Let o be t(10). What is the highest common factor of o and 140? 20 Let q(n) = 7*n - 41. Let s be q(13). Calculate the greatest common divisor of s and 10. 10 Let u be -5*(-5)/(100/12). Let j be (-4)/(-14) - (-80)/14. Let a = j - 0. What is the greatest common divisor of a and u? 3 Let o be 0/(-2) - 15/(-5). Suppose 2*j - 136 = -3*f - 3*j, -o*j = -3*f + 120. What is the greatest common factor of f and 6? 6 Let p = -76 - -36. Let d = p - -64. Calculate the highest common factor of d and 60. 12 Let x = 7 - 6. Calculate the greatest common factor of 9 and x. 1 Let d be (-104)/(-2) - (0 + -3). Let r be (0 - 44)*(-1)/2. What is the highest common factor of d and r? 11 Let h(v) = 11*v + 9. Let t be h(3). Calculate the highest common divisor of 7 and t. 7 Let n(z) = 3*z - z**2 - 4*z + 28 + 37. Suppose 5*i + 18 = 3*w + 3, w - 5*i = 15. Let j be n(w). Calculate the greatest common factor of j and 13. 13 Let d(h) = 1 + 3 - h**3 - 18*h**2 + 22*h**2. Suppose p + 5 = -0*p, 36 = 4*s - 4*p. Let u be d(s). Calculate the greatest common factor of 28 and u. 4 Let a(h) = 6*h**2 + 8*h - 3. Let g be a(3). Let y = -37 - -67. Calculate the greatest common factor of g and y. 15 Suppose -2*q - 2 = -2*c - 5*q, 20 = -5*q. What is the greatest common divisor of c and 28? 7 Suppose 72 = 4*n - n. Let s be (-12)/(-28) - (-3519)/42*2. What is the highest common factor of n and s? 24 Suppose -4*h + 13 = -227. What is the highest common factor of 15 and h? 15 Suppose 5*s = 4*z + 409, -z - 3*z = s - 77. What is the highest common divisor of 9 and s? 9 Let s(f) = f + 30. Let w be s(0). Let o be 16 + (-1)/((-3)/(-3)). Suppose 0 = -3*m - o, p + 19 = 3*p + m. What is the greatest common factor of p and w? 6 Let r = 64 - 55. Suppose 0 = 2*k - 162 + 36. What is the highest common factor of r and k? 9 Suppose -12*t + 4*t = -1496. Calculate the highest common divisor of t and 17. 17 Suppose m - 6*m = -20. Suppose 0 = 3*w + 4*n - 74, m*w = -w + n + 85. Suppose j + f = 29, -5*j + 3*f = 5*f - 139. What is the greatest common factor of w and j? 9 Let t(h) = 2*h**2 + 2*h - 20. Let f be t(4). What is the highest common factor of 180 and f? 20 Suppose -4*o + 145 = v, 3*v + 4*o = -o + 400. What is the greatest common divisor of 50 and v? 25 Suppose -z + 2 = -r, -2*z - 4*r - 15 = z. Let d = z + -14. Let u be ((-10)/d)/(4/30). Calculate the greatest common factor of 45 and u. 5 Let f = 57 - 37. Suppose -3*q + 0*m - 27 = -3*m, -3*q - 2 = 2*m. Let d be (-2)/(-8) + (-559)/q. What is the greatest common factor of f and d? 20 Suppose -12 = 4*n, 5*p - 159 = -4*n + 114. What is the highest common divisor of 19 and p? 19 Let b(u) = 89*u**3 - u**2 + u + 1. Let h be b(1). Calculate the greatest common divisor of 18 and h. 18 Let d = -32 - -14. Let a be (1 - -2) + (-2 - d). Calculate the greatest common divisor of a and 19. 19 Let v be (-77)/(-2) + 21/14. What is the greatest common factor of 16 and v? 8 Suppose -5 - 15 = -2*b. Let h(q) = -17*q - 5. Let v(j) = j**2 - 7*j + 1. Let y be v(6). Let m be h(y). What is the greatest common divisor of b and m? 10 Let g = -85 + 95. Calculate the highest common divisor of g and 5. 5 Let r(l) = l - 3. Let i be r(5). Suppose -i*y + 17 = -13. Calculate the highest common factor of 75 and y. 15 Suppose 2*g = -g + 12. Suppose 3*f + 121 = 2*z, -g*f = -z + f + 71. Calculate the greatest common divisor of z and 14. 14 Let w(m) be the third derivative of m**6/120 + m**5/15 - m**4/8 + 5*m**3/6 - 2*m**2. Let a be w(-4). Calculate the highest common divisor of a and 136. 17 Let o(z) = -18*z - 7. Let f(n) = -n. Let g(d) = f(d) + o(d). Let h be g(-5). Calculate the greatest common divisor of 11 and h. 11 Let v be (-2 - -1)*3/(-1). Suppose 2*t + 74 - 342 = -v*x, -4*t + 96 = x. Let f = -13 + 21. What is the highest common factor of x and f? 8 Let x(b) = 29*b - 2. Let o be x(5). Suppose 0*j - 39 = -3*j. What is the highest common factor of j and o? 13 Suppose -4*k + 0*p = -3*p - 15, 3 = -3*p. Let n be 3/((-9)/k) + 187. Let v be 3*(1 - n/(-9)). What is the highest common factor of v and 26? 13 Let s be (-52)/14 + (-12)/42. Let c(f) = -506*f**3 - f + 1. Let g be c(1). Let x be g/(-9) - s/(-18). What is the greatest common factor of 8 and x? 8 Let k be 0 + (-9)/6*6. Suppose 4*b + 2*t = b + 2, 5*b = 5*t - 30. Let j be (-3)/(b*k/(-96)). Calculate the greatest common factor of j and 8. 8 Suppose -3*n + 2*n = -11. Let k(s) = -s**3 + 8*s**2 - 5*s - 6. Let j be k(5). Calculate the greatest common divisor of j and n. 11 Suppose -3*i = -6*i + 6. Let l be 1/(i/4) - -13. Let w be 6 + -3 + (-1 - -1). What is the greatest common divisor of l and w? 3 Suppose 10*m = 14*m - 100. What is the greatest common divisor of m and 5? 5 Let k be -2*3/(-9) + 208/12. What is the greatest common factor of k and 36? 18 Suppose 4*z - 2*z + 3*u - 6 = 0, 20 = 4*z + 2*u. Let c be 2/(-3) + 14/3. Let j = z - c. What is the greatest common factor of 18 and j? 2 Let h be 2815/35 - 3/7. What is the highest common factor of 30 and h? 10
{ "pile_set_name": "DM Mathematics" }
-9512 Rearrange 15*s**3 + 183*s**2 + 21864*s + 21870*s - 43736*s to the form q + n*s**3 + r*s**2 + f*s and give f. -2 Rearrange (-4*i**2 + i**2 + 4*i**2)*(0 - 4 + 5)*(-6 - 7 - 4)*(0 - 4 - 1)*(-11*i + 18*i - 3 - 8*i) to c + h*i**2 + a*i + t*i**3 and give t. -85 Express 11*b - 456309*b**2 + 456324*b**2 - 3 + 3 as i*b + p*b**2 + d and give p. 15 Rearrange (23 - 30 + 37)*(-11 - l - 25 - 4) to the form m + b*l and give b. -30 Express -464*k - 7*k**4 + 465*k + 1 + k**3 - 3 as w*k + s + i*k**3 + u*k**2 + h*k**4 and give w. 1 Express -3*b - 5498*b**2 + 3309*b**2 + 3*b in the form u*b**2 + i*b + j and give u. -2189 Rearrange x**3 + 4*x**3 + x**3 + 1748*x**2 - 3504*x**2 + 1761*x**2 - 33*x to k*x + c*x**2 + w + i*x**3 and give c. 5 Rearrange (-3*m**3 - m**3 + 5*m**3)*(111740 + 111680 + 75*m - 223466) to the form a*m**2 + u*m + f*m**3 + p*m**4 + x and give p. 75 Express 23*k**4 - 22*k**4 - 142 - 215*k + 116*k + 108*k + k**3 as v + n*k**3 + i*k**2 + m*k**4 + p*k and give v. -142 Rearrange -8*p**4 + 15*p**4 + p - 8*p**4 + 32 - 35*p**3 + 24*p**3 + p to the form j*p**3 + v*p**2 + s + z*p**4 + i*p and give z. -1 Express 10*p**2 - 12*p**3 - 12*p**4 - 17 + 42*p**3 - 14*p**3 + 18 - 15*p**3 as z*p**2 + y*p + a*p**3 + k + n*p**4 and give a. 1 Rearrange -f**2 - 559*f - 1071*f**3 - 471*f**3 + 560*f to l + q*f**3 + a*f**2 + x*f and give x. 1 Rearrange 2*q + 20*q**3 + 327 - 22*q**3 + 25*q**3 + 18*q**3 - 40*q**3 to l*q**2 + p + u*q + o*q**3 and give o. 1 Express ((3 - 2 + 1)*(2 - 2 - 4) - 5 + 0 + 2)*(3 - 6*v - 4 + 19*v) + (0*v + 0*v - 3*v)*(5 - 3 + 0) as o*v + i and give o. -149 Rearrange -14*o - 2 - 14*o + 30*o - 3*o**2 + 70*o**4 + 5*o**3 - 52*o**4 + o**2 to the form s*o**4 + p + a*o**3 + r*o**2 + m*o and give a. 5 Express 18088*u**4 + 18166*u**4 - 36382*u**4 + (u - u - u**3)*(-3*u - 3 + 3) in the form x*u**3 + i*u**4 + r*u + a*u**2 + h and give i. -125 Express 7 - 66217*s**2 - 11 + 14*s + 66223*s**2 as r*s + v*s**2 + o and give v. 6 Express 881136*c - 448484*c - 448172*c + (-3 + 2 + 2)*(-2*c + 2*c + 2*c) - 2 + 2 + 2*c + c - 1 + 1 as k*c + t and give k. -15515 Rearrange -3 - 2*g**3 - 15*g**4 + 2*g**2 - 18*g**4 - 217*g + 1141*g + 168*g + 35*g**4 to the form s*g**2 + d*g + r*g**4 + v*g**3 + x and give x. -3 Express 42924 - 20276*i - 42924 as f + r*i and give r. -20276 Rearrange (16 + 28 - 12)*(v + 0*v + 0*v + (-2 + 2 + 2)*(9*v + 8*v + 17*v)) to the form d + n*v and give n. 2208 Express (134*p - 208*p - 237*p)*(-1 + 5 + 5) + 3 - 3 - 2*p in the form m + h*p and give h. -2801 Rearrange 15710*z + 19628*z + 16562*z - 13346*z to c*z + a and give c. 38554 Express -1249*x - 3033*x - 11169*x in the form i*x + h and give h. 0 Express (-45 + 69 - 93 + (0 + 1 + 5)*(0 - 2 + 1))*(0*o**3 - 4*o**3 + 5*o**3) as q*o**3 + b + l*o**2 + y*o and give q. -75 Rearrange 717*w - 1424 - 125*w - 592*w - w**2 to the form r + y*w**2 + n*w and give y. -1 Rearrange -431*z + 17 + 940*z - 465*z to the form c + v*z and give c. 17 Rearrange 2 + 14905*f**2 + 10*f - 14903*f**2 + 40*f**3 - 7*f to s + r*f**2 + l*f + b*f**3 and give b. 40 Rearrange 2 + 306*v**2 - 1 + 3*v**3 + 53*v**4 + 43*v**4 - 304*v**2 to p*v + l*v**2 + r*v**3 + b + n*v**4 and give n. 96 Express (-x + 2*x**3 - x**3 - 2*x**3)*(8919*x - 18320*x - 14487*x + 4102*x - 19916*x) in the form v*x**3 + t*x**4 + p + o*x + j*x**2 and give p. 0 Rearrange 4*m**2 - 3 + 13 - 4*m**2 - 12*m + 10*m**2 - 32 to k*m**2 + n + j*m and give j. -12 Express -348*v + 375 - 184 - 191 as o + t*v and give t. -348 Express -55*b**3 + 283 - 70 - 63 - 64 - 70 as v + j*b**3 + c*b**2 + o*b and give c. 0 Express ((-17 + 17 + 17)*(1 - 4 + 6) + 9 - 6 + 9)*(5 + 3*s + 3*s - 6) in the form j + x*s and give j. -63 Express -260 + 311093*t**2 - 155512*t**2 + 82 - 155549*t**2 as x*t + f*t**2 + u and give f. 32 Rearrange 37 + 16 + 21 - 123 + 31 + 7*u**2 to y + a*u + w*u**2 and give w. 7 Express 10 + 8*y - 297*y - 130*y - 47*y + 8*y in the form m*y + l and give l. 10 Express 356*o + 416*o - 266*o + 228*o + 246*o in the form f*o + i and give f. 980 Rearrange (44*m**2 - 29*m**2 + 130*m**2)*(2*m**2 - 2*m**2 + 30*m**2) + 25*m**4 - 2 - 23*m**4 + 5 to i*m**4 + l + b*m**2 + z*m + s*m**3 and give z. 0 Rearrange 6*m + 3 + 3*m**2 + 3 + 7 - 2*m**3 + 5 - 24 to u + k*m**2 + w*m + i*m**3 and give w. 6 Rearrange -363*o + 376*o**3 + 2 + 370*o**3 - 748*o**3 - 2 to y*o + w + q*o**2 + b*o**3 and give y. -363 Express ((5 - 5 - 2)*(0*q + 2*q + 0*q) + 4 - q - 4)*(-73735*q**2 - 71730*q**2 + 150117*q**2) in the form j + w*q + d*q**2 + c*q**3 and give c. -23260 Express 659 - y**2 + 113 + 505 - 37 as k*y + s*y**2 + r and give s. -1 Rearrange (n + 2 - 2)*(626628 - 1261916 + 629082) to l + q*n and give q. -6206 Rearrange -125984*p**2 + 251968*p**2 - 42 - 125981*p**2 to d*p + h + m*p**2 and give h. -42 Rearrange (-60*i**2 + 52*i**2 - 30*i**2)*(7 - 100 - 95) to g*i + j*i**2 + q and give j. 7144 Rearrange (-16*f + 21*f + 30*f)*(3*f + f - 6*f) - 97*f**2 + 3*f**2 - 151*f**2 + 53*f**2 to the form b*f**2 + o + t*f and give b. -262 Rearrange (-6*h**2 - h**2 + 13*h**2)*(0*h**2 + 0*h**2 - 3*h**2) + (-1 + 1 - 2)*(7*h**4 + 4*h**4 + 5*h**4) to q*h**2 + r*h**3 + n*h + p*h**4 + t and give p. -50 Express -320*q**3 + 323*q**3 + 7*q + 5*q - 11*q - 51*q**2 as v*q**3 + k*q**2 + f*q + o and give f. 1 Express 3 - 177*h - 100*h + 7 - 7 + 3 as y + o*h and give y. 6 Express (-4*f**2 - f**2 + 2*f**2)*(3 - 4 + 0)*(-395*f - 415*f + 887*f + 2) in the form r + p*f**2 + t*f**3 + x*f and give t. 231 Express 1145*s + 1144*s + 1145*s - 3433*s + 12962 as d + h*s and give d. 12962 Rearrange 6598*h**2 - 3288*h + 3341 + 3287*h - 3341 to the form m*h**2 + q + f*h and give m. 6598 Express ((0 + 0 - 1)*(0*t + 0*t + 2*t) + 2 - 2 - t)*(-t + 2*t + 2*t)*(-4002*t + 4002*t - 69*t**2) as u*t**4 + b + w*t**2 + k*t**3 + y*t and give u. 621 Express -156*z**2 + 79*z**2 + 187*z + 99*z + 69*z**2 as a*z**2 + x + p*z and give a. -8 Rearrange -o**3 + 9*o**3 - 3*o**3 + (-2 + 2 - 2*o**2)*(179 - 57 + 763)*(-5 + 2 + 2)*(-o + o - o) to i*o**3 + q*o**2 + w + d*o and give d. 0 Rearrange (-17*f + 227 - 106 - 114)*(4*f**2 - 3*f**2 + 9*f**2) to l*f**3 + c*f + j*f**2 + i and give i. 0 Express (4*s - 4*s + 3*s**2)*((3 - 4 + 2)*(120 + 41 - 9 - s) + 3*s + 2*s + 0*s) in the form j*s**2 + a*s + v*s**3 + z and give v. 12 Rearrange -8*m + 0*m + 7*m + (-11 - 21 - 6)*(-m - m + 3*m) to u*m + g and give u. -39 Express 24 + 5 + 28 - 57 - 5951*k as s + p*k and give p. -5951 Rearrange -168 - 2181*b**2 + 168 - 869*b**2 + 1055*b**2 to p + r*b**2 + x*b and give p. 0 Express 133*t - 410*t + 590 + 139*t + 137*t in the form l + r*t and give r. -1 Express (-477*v**2 + 6135 - 6135)*(-3*v + 2*v + 0*v) + (-27 + 23 + 49)*(-4*v**2 + 4*v**2 + v**3) as j*v**2 + g*v + m + f*v**3 and give g. 0 Express 7*c - c - 6*c + 2*c + 4*c - 48 as u*c + r and give u. 6 Rearrange 73 + 53 - 412*d**3 + d**2 - 177 + 51 + 2*d to the form c*d**2 + r*d**3 + l*d + f and give c. 1 Rearrange (j + 4*j + 3*j + (2*j - 3*j - j)*(4 - 6 + 4))*(-49 - 80 - 7 + 9) to n*j + o and give n. -508 Rearrange (19383 + 982*b**2 + 972*b**2 - 2943*b**2 + 987*b**2)*(0 + 0 + 2) to the form y + z*b + k*b**2 and give y. 38766 Rearrange 2 - 2*j**4 + 8*j**4 - 3*j**4 - 4*j**3 + 3*j**2 + 64421*j - 64420*j to w*j**3 + a*j + h*j**4 + t*j**2 + u and give a. 1 Rearrange -14 - 183*q**3 + 33*q**2 + 331*q**3 - 147*q**3 to t*q + f + v*q**3 + m*q**2 and give f. -14 Rearrange -56*m - 133*m**2 + 29*m + 29*m - 10*m**2 to the form p + l*m + k*m**2 and give l. 2 Express 13*d**2 + 2*d**2 - 5*d**2 + (83*d - 169*d - 322*d)*(-3*d + 2*d + 3*d) in the form b + z*d**2 + c*d and give z. -806 Express -4*m**3 + 4*m**2 - m**2 - 107*m + 103*m - 10 as d*m + p*m**3 + j*m**2 + l and give j. 3 Express 597*o**3 - 27*o + 611*o**3 - 126 - 1811*o**3 + 602*o**3 in the form s*o**2 + t + d*o + i*o**3 and give t. -126 Express -2625*y**2 + 3299*y**2 + 3*y - 4*y + y in the form b + v*y + p*y**2 and give p. 674 Express -25 + 796*n + 27 - 2 + 2029*n in the form y + b*n and give b. 2825 Rearrange -21050*z**3 + 42098*z**3 + 0*z**4 - 21052*z**3 + 14*z**2 - 2*z**4 + 7 to r*z**2 + c*z + l*z**4 + n*z**3 + y and give y. 7 Express (-202*w**2 + 8*w**2 - 6*w**2)*(6 - 9 - 13 + (3 - 4 - 1)*(-2 - 1 + 5) - 1 - 1 + 1) in the form x + g*w**2 + a*w and give g. 4200 Rearrange 47 + 5*j**4 - 742*j**2 + 1472*j**2 - 2*j*
{ "pile_set_name": "DM Mathematics" }
hat is the ninth root of 596 to the nearest integer? 2 What is 138 to the power of 1/8, to the nearest integer? 2 What is the square root of 26600 to the nearest integer? 163 What is 24635 to the power of 1/3, to the nearest integer? 29 What is the fifth root of 364 to the nearest integer? 3 What is the ninth root of 30629 to the nearest integer? 3 What is the square root of 36623 to the nearest integer? 191 What is 71894 to the power of 1/2, to the nearest integer? 268 What is 1803 to the power of 1/6, to the nearest integer? 3 What is 44696 to the power of 1/8, to the nearest integer? 4 What is the third root of 499 to the nearest integer? 8 What is the cube root of 5800 to the nearest integer? 18 What is the square root of 7963 to the nearest integer? 89 What is 27084 to the power of 1/2, to the nearest integer? 165 What is the cube root of 2182 to the nearest integer? 13 What is the seventh root of 93749 to the nearest integer? 5 What is the third root of 994 to the nearest integer? 10 What is the square root of 5065 to the nearest integer? 71 What is the square root of 20212 to the nearest integer? 142 What is 19430 to the power of 1/3, to the nearest integer? 27 What is the square root of 719 to the nearest integer? 27 What is the square root of 67318 to the nearest integer? 259 What is 9207 to the power of 1/7, to the nearest integer? 4 What is the eighth root of 84401 to the nearest integer? 4 What is the tenth root of 283 to the nearest integer? 2 What is the square root of 24666 to the nearest integer? 157 What is the square root of 15536 to the nearest integer? 125 What is the sixth root of 19738 to the nearest integer? 5 What is the ninth root of 15651 to the nearest integer? 3 What is the tenth root of 3030 to the nearest integer? 2 What is 26627 to the power of 1/3, to the nearest integer? 30 What is 1649 to the power of 1/7, to the nearest integer? 3 What is the tenth root of 26340 to the nearest integer? 3 What is 28529 to the power of 1/2, to the nearest integer? 169 What is the fourth root of 2029 to the nearest integer? 7 What is the square root of 47484 to the nearest integer? 218 What is 1411 to the power of 1/4, to the nearest integer? 6 What is the ninth root of 113589 to the nearest integer? 4 What is the cube root of 2994 to the nearest integer? 14 What is the third root of 23490 to the nearest integer? 29 What is the square root of 8187 to the nearest integer? 90 What is the square root of 652 to the nearest integer? 26 What is the square root of 16939 to the nearest integer? 130 What is the cube root of 108033 to the nearest integer? 48 What is 5187 to the power of 1/9, to the nearest integer? 3 What is the square root of 19222 to the nearest integer? 139 What is the seventh root of 2760 to the nearest integer? 3 What is the tenth root of 6043 to the nearest integer? 2 What is the sixth root of 1904 to the nearest integer? 4 What is 5249 to the power of 1/2, to the nearest integer? 72 What is 61344 to the power of 1/3, to the nearest integer? 39 What is 1916 to the power of 1/2, to the nearest integer? 44 What is the tenth root of 7654 to the nearest integer? 2 What is the tenth root of 559 to the nearest integer? 2 What is 373 to the power of 1/2, to the nearest integer? 19 What is 1220 to the power of 1/10, to the nearest integer? 2 What is the cube root of 1834 to the nearest integer? 12 What is the cube root of 1681 to the nearest integer? 12 What is the square root of 10563 to the nearest integer? 103 What is the square root of 1879 to the nearest integer? 43 What is the square root of 6878 to the nearest integer? 83 What is 118561 to the power of 1/4, to the nearest integer? 19 What is 8392 to the power of 1/2, to the nearest integer? 92 What is the ninth root of 1109 to the nearest integer? 2 What is the cube root of 30 to the nearest integer? 3 What is 31848 to the power of 1/8, to the nearest integer? 4 What is the square root of 2691 to the nearest integer? 52 What is 713 to the power of 1/2, to the nearest integer? 27 What is 30013 to the power of 1/5, to the nearest integer? 8 What is the seventh root of 25871 to the nearest integer? 4 What is the fifth root of 1541 to the nearest integer? 4 What is the fourth root of 1345 to the nearest integer? 6 What is 0 to the power of 1/7, to the nearest integer? 0 What is 556 to the power of 1/2, to the nearest integer? 24 What is 66211 to the power of 1/2, to the nearest integer? 257 What is the square root of 6821 to the nearest integer? 83 What is the cube root of 2282 to the nearest integer? 13 What is the eighth root of 5036 to the nearest integer? 3 What is 13298 to the power of 1/2, to the nearest integer? 115 What is 1682 to the power of 1/8, to the nearest integer? 3 What is 68455 to the power of 1/3, to the nearest integer? 41 What is 18750 to the power of 1/2, to the nearest integer? 137 What is the fifth root of 19535 to the nearest integer? 7 What is the third root of 211 to the nearest integer? 6 What is the square root of 443 to the nearest integer? 21 What is the fourth root of 123401 to the nearest integer? 19 What is the third root of 76118 to the nearest integer? 42 What is 2589 to the power of 1/2, to the nearest integer? 51 What is 58959 to the power of 1/2, to the nearest integer? 243 What is the fifth root of 65893 to the nearest integer? 9 What is the seventh root of 49352 to the nearest integer? 5 What is 135 to the power of 1/2, to the nearest integer? 12 What is 32419 to the power of 1/8, to the nearest integer? 4 What is 1120 to the power of 1/2, to the nearest integer? 33 What is the square root of 5411 to the nearest integer? 74 What is the third root of 2083 to the nearest integer? 13 What is the third root of 21775 to the nearest integer? 28 What is 26847 to the power of 1/7, to the nearest integer? 4 What is the square root of 1435 to the nearest integer? 38 What is the cube root of 39194 to the nearest integer? 34 What is the square root of 121 to the nearest integer? 11 What is the square root of 7282 to the nearest integer? 85 What is 6465 to the power of 1/5, to the nearest integer? 6 What is 36 to the power of 1/4, to the nearest integer? 2 What is 1104 to the power of 1/7, to the nearest integer? 3 What is 1908 to the power of 1/2, to the nearest integer? 44 What is 210 to the power of 1/6, to the nearest integer? 2 What is the square root of 44835 to the nearest integer? 212 What is 954 to the power of 1/3, to the nearest integer? 10 What is the cube root of 6810 to the nearest integer? 19 What is 33128 to the power of 1/8, to the nearest integer? 4 What is 50 to the power of 1/3, to the nearest integer? 4 What is the third root of 1403 to the nearest integer? 11 What is the fifth root of 969 to the nearest integer? 4 What is the square root of 30 to the nearest integer? 5 What is the cube root of 169 to the nearest integer? 6 What is 640 to the power of 1/4, to the nearest integer? 5 What is 17871 to the power of 1/3, to the nearest integer? 26 What is 84052 to the power of 1/3, to the nearest integer? 44 What is 5080 to the power of 1/10, to the nearest integer? 2 What is the ninth root of 4489 to the nearest integer? 3 What is the square root of 1084 to the nearest integer? 33 What is 106642 to the power of 1/2, to the nearest integer? 327 What is 1813 to the power of 1/4, to the nearest integer? 7 What is 141839 to the power of 1/2, to the nearest integer? 377 What is 2612 to the power of 1/8, to the nearest integer? 3 What is 22157 to the power of 1/7, to the nearest integer? 4 What is the ninth root of 2158 to the nearest integer? 2 What is 47748 to the power of 1/2, to the nearest integer? 219 What is the square root of 917 to the nearest integer? 30 What is the third root of 15004 to the nearest integer? 25 What is the ninth root of 8744 to the nearest integer? 3 What is the third root of 5485 to the nearest integer? 18 What is the cube root of 949 to the nearest integer? 10 What is 57266 to the power of 1/6, to the nearest integer? 6 What is the cube root of 1430 to the nearest integer? 11 What is the square root of 13046 to the nearest integer? 114 What is the fourth root of 13277 to the nearest integer? 11 Wha
{ "pile_set_name": "DM Mathematics" }
b**t. -3*(b - 1)**3/4 Let k = -51 - -37. Let r be (k/7)/(-1 + -3). What is i in 1/6*i**2 + r + 2/3*i = 0? -3, -1 Let n(y) = y**3 + 11*y**2 + 11*y + 10. Let q(f) = 11*f + 1. Let b be q(-1). Let x be n(b). Factor -3*v**3 + x*v**3 + 2*v**3 + 2 + 3*v + 0. -(v - 2)*(v + 1)**2 Let h(c) be the third derivative of -c**8/112 - 2*c**7/35 + c**6/8 + 3*c**2 - 4*c. Determine z so that h(z) = 0. -5, 0, 1 Let f be (-2)/(0 - (-8)/(-60)). Solve 18 + 3*z**3 + f*z - 17 - 12*z**2 - 7 = 0. 1, 2 Suppose 0*s = s + a, 0 = 5*s - 3*a - 24. Factor z + 6*z - 3*z + s*z**2 - 7*z. 3*z*(z - 1) Let j(u) be the second derivative of 160/3*u**3 + 128*u**2 - 29*u + 4/3*u**6 - 2/21*u**7 + 0 - 20/3*u**4 - 5*u**5. Factor j(z). -4*(z - 4)**3*(z + 1)**2 Let f(i) be the third derivative of i**7/70 - i**6/40 - 7*i**3/3 - 3*i**2. Let p(q) be the first derivative of f(q). Factor p(d). 3*d**2*(4*d - 3) Let c(v) be the first derivative of v**6/33 + 4*v**5/11 + 8*v**4/11 - 4*v**3/33 - 17*v**2/11 - 16*v/11 + 512. Let c(z) = 0. What is z? -8, -1, 1 Suppose -6 - 19 = -5*d. Factor 3*q**2 + 20*q + q**2 - 11*q - d*q - 8. 4*(q - 1)*(q + 2) Let n(g) be the second derivative of -4*g**6/495 - 2*g**5/165 - g**4/132 - 13*g**3/6 + 11*g. Let w(v) be the second derivative of n(v). Factor w(s). -2*(4*s + 1)**2/11 Let t = 368/543 - 2/181. Suppose -59 = -17*z + 5*d, -3*z + 3*d + 14 + 7 = 0. Factor -8/3 + 8/3*u - t*u**z. -2*(u - 2)**2/3 Suppose -b - 12 = -0*b. Let c = -8 - b. Factor -6*i**4 - 9*i**2 + 4 + 6*i - 4 - 36*i**3 - 15*i**c. -3*i*(i + 1)**2*(7*i - 2) Suppose 2 - 1 - 2*w**3 - 2*w - 1 + 4*w**2 = 0. Calculate w. 0, 1 Let a be 1*2 - 6/3. Suppose 5*l - 10 = -a*l. Factor -3*f - 1 + 3*f + f**3 - f - 2*f**2 + 3*f**l. (f - 1)*(f + 1)**2 Let c(b) be the first derivative of 2*b**5/15 + 161*b**4/18 - 442*b**3/27 - 53*b**2/9 + 220*b/9 - 354. Let c(d) = 0. What is d? -55, -2/3, 1 Let f be (-2)/22 - (518/110 - 6). Find q, given that 2/5*q**3 + 6/5*q + f*q**4 + 4/5 - 18/5*q**2 = 0. -2, -1/3, 1 Suppose -40*i + 34*i = -24. Find z such that 30*z**5 - 62*z**i + 11 - 27*z**2 + 97*z**2 - 30*z**3 - 19 = 0. -1, -1/3, 2/5, 1, 2 Let l = 1496777/7 + -214406. Let j = 583 + l. Determine m, given that j*m - 8/7 - 38/7*m**4 - 2/7*m**3 - 2*m**5 + 46/7*m**2 = 0. -2, -1, 2/7, 1 Let j(d) be the first derivative of 9*d**4/4 - 19*d**3 + 24*d**2 + 60*d + 91. Determine x, given that j(x) = 0. -2/3, 2, 5 Let q be (-5)/(-25) + (-261)/(-45). Let y(z) be the first derivative of 1/2*z**2 - 6 + 0*z**5 - 2/9*z**3 + 2/3*z + 1/18*z**q - 1/3*z**4. What is l in y(l) = 0? -1, 1, 2 Let x(o) be the third derivative of -o**5/120 + 5*o**4/3 - 400*o**3/3 - 9*o**2 - o. Factor x(s). -(s - 40)**2/2 Let g(t) be the third derivative of -256/27*t**3 - 2*t**2 - 16/45*t**5 - 4/135*t**6 + 0 - 64/27*t**4 - 1/945*t**7 + 0*t. Factor g(n). -2*(n + 4)**4/9 Let w(n) be the third derivative of -n**5/20 - n**4 - 8*n**3 + 8*n**2. Suppose w(i) = 0. What is i? -4 Let g(i) be the first derivative of 2/21*i**3 + 2/7*i - 2/7*i**2 - 11. Factor g(m). 2*(m - 1)**2/7 Let k(m) be the second derivative of 0 - 2/39*m**3 + 0*m**2 + 1/78*m**4 + 19*m. Factor k(n). 2*n*(n - 2)/13 Suppose -9/8*s - 1 - 1/8*s**2 = 0. What is s? -8, -1 Let d(g) = -48*g + 1009. Let j be d(21). Let p(z) be the first derivative of j + 2/3*z**3 + 2/5*z**5 - 1/12*z**6 - 1/4*z**2 + 0*z - 3/4*z**4. Factor p(n). -n*(n - 1)**4/2 Let x = 10/19 + -221/456. Let n(s) be the second derivative of 0*s**2 + 1/6*s**3 + 0 - 4*s + x*s**4. Factor n(l). l*(l + 2)/2 Let k = -19231/4930 + 2/2465. Let r = -7/2 - k. Factor 0*n**2 + 1/5*n**3 + 0 + r*n**4 + 0*n. n**3*(2*n + 1)/5 Suppose -3*v = t - 2*t - 12, -v = -2*t - 9. Suppose 5*p + z = -5, -3*p + 4*p - v*z - 15 = 0. Factor -5/2*d**2 + p*d + 0. -5*d**2/2 Let i(z) be the first derivative of -z**4/8 + z**3/6 + 5*z**2/4 + 3*z/2 + 122. Factor i(k). -(k - 3)*(k + 1)**2/2 Let c(j) be the third derivative of -j**7/1470 + j**6/140 + j**5/420 - 5*j**4/28 + 242*j**2. Factor c(r). -r*(r - 5)*(r - 3)*(r + 2)/7 Let h be (-117)/(-15) + 72 + -78. Solve -h*m + 0 + 12/5*m**2 - 3/5*m**3 = 0 for m. 0, 1, 3 Let t be (-100)/(-26) - 18/(-117). Suppose h = -0*h, t*a - 24 = 2*h. Determine n, given that a*n**4 + 3*n**3 - 6*n**2 - 2*n + 2*n**3 - 7*n**3 + 4*n**5 = 0. -1, -1/2, 0, 1 Let u(v) be the second derivative of 3*v**5/5 - 19*v**4/3 - 10*v**3 + 14*v**2 + 46*v. What is s in u(s) = 0? -1, 1/3, 7 Solve 105*z**2 + 113*z**2 + 4*z**3 + 1292*z + 1156 - 78*z**2 = 0 for z. -17, -1 Let z(k) be the second derivative of -k**4/12 + 29*k**3/6 - 27*k**2 + 683*k. Factor z(c). -(c - 27)*(c - 2) Let p(o) = -o**2 - 5*o - 3. Let d(s) = 6*s + 2. Let l(c) = -c**3 + 10*c**2 - 9*c - 4. Let g be l(9). Let j(f) = g*p(f) - 6*d(f). Solve j(r) = 0 for r. 0, 4 Let -3*u - 18*u**2 - 22 + 20 + 17 = 0. What is u? -1, 5/6 Let w(d) = -9*d**4 + 6*d**2 + 18*d - 6. Let n(r) = -r**4 + r**3 - r**2 - 3*r + 1. Let o(v) = 6*n(v) + w(v). Factor o(b). -3*b**3*(5*b - 2) Suppose 252 + 230476*o**2 + 200*o - 230472*o**2 + 132 = 0. Calculate o. -48, -2 Let d(u) = -4*u**2 + 10*u + 2. Let y(p) = p**2 - p. Let s = 23 - 24. Let c(i) = s*d(i) - 6*y(i). Find g such that c(g) = 0. -1 Let w be (-6)/4 - -2*402/408. Suppose 0 + 0*y - 2/17*y**4 - w*y**2 - 10/17*y**3 = 0. What is y? -4, -1, 0 Determine r, given that -88/7 - 2*r**3 - 256/7*r + 178/7*r**2 = 0. -2/7, 2, 11 Determine q so that -3 - 15/2*q + 6*q**3 - 3*q**2 + 6*q**4 + 3/2*q**5 = 0. -2, -1, 1 Let o = -59263/7 + 8479. Factor -108/7*z**4 + o*z**3 + 0 - 4*z**2 + 3/7*z + 27/7*z**5. z*(z - 3)*(3*z - 1)**3/7 Suppose 3 = -3*s - 9. Let m(z) = z + 7. Let t be m(s). Determine o, given that -38/9*o**t + 4/9*o**4 + 6 + 14*o**2 - 18*o = 0. 1/2, 3 Let f(i) be the first derivative of 35 + 1/32*i**4 - 8*i - 1/2*i**3 + 3*i**2. Find z such that f(z) = 0. 4 Suppose 17*g + 5606 - 5640 = 0. Find w such that 3/8*w**4 + 3/8*w**3 + 0*w**g + 0 + 0*w = 0. -1, 0 Let h(x) be the second derivative of x**6/195 + 36*x**5/65 + 716*x**4/39 + 1632*x**3/13 + 4624*x**2/13 - 698*x. Factor h(q). 2*(q + 2)**2*(q + 34)**2/13 Let n = 10 - 8. Factor q**n - 2*q**2 - 8*q - 3*q**2. -4*q*(q + 2) Let d(h) be the second derivative of -5*h**4/3 - 9*h**3/2 + 25*h**2/2 - 29*h. Let t(v) = 7*v**2 + 9*v - 8. Let q(k) = -4*d(k) - 11*t(k). Factor q(j). 3*(j - 1)*(j + 4) Let k(w) be the first derivative of 11/5*w**2 - 18/5*w**4 + 16/5*w**3 - 48 + 2/5*w. Solve k(g) = 0 for g. -1/6, 1 Let n = 139/8 - 31/8. Let k(y) be the second derivative of 3/20*y**5 + 0 - 5/4*y**4 + 3/2*y**3 + 8*y + n*y**2. What is q in k(q) = 0? -1, 3 Let i(p) = -15*p**2 - 23*p - 2. Let l(z) = 29*z**2 + 47*z + 4. Let m(t) = -7*i(t) - 3*l(t). Determine g, given that m(g) = 0. -1, -1/9 Let t(g) be the first derivative of g**5/4 + 25*g**4/8 - 115*g**3/12 + 15*g**2/2 - 153. Factor t(k). 5*k*(k - 1)**2*(k + 12)/4 Let a(s) be the first derivative of -2*s**3/15 - 37*s**2/5 + 76*s/5 + 16. What is q in a(q) = 0? -38, 1 Let y(q) be the first derivative of -2*q**3/51 + q**2/17 + 24*q/17 - 275. Factor y(i). -2*(i - 4)*(i + 3)/17 Let f = -9817/2 + 39271/8. Solve -f + 1/8*h - 1/8*h**3 + 3/8*h**2 = 0. -1, 1, 3 Let v(f) = 2*f**2 - 34*f. Let g be v(17). Factor -3*x**5 + 13*x**3 - 2*x**3 - 8*x**3 + g*x**3. -3*x**3*(x - 1)*(x + 1) Let r(j) = 21*j**2 - 107*j + 18. Let z(l) = -40*l**2 + 215*l - 35. Let x(h) = -5*r(h) - 2*z(h). Solve x(q) = 0 for q. 1/5, 4 Let i(v) = -v**3 + v**2 + 3*v - 2. Let s be i(-2). Suppose -s*n - 4*n = -2*n. Let n + 2/9*y**2 + 1/3*y - 4/9*y**3 - 2/9*y**4 + 1/9*y**5 = 0. Calculate y. -1, 0, 1, 3 Let r(s) = -5*s**3 - 47*s**2 + 138*s. Let i(t) = 30*t**3 + 280*t**2 - 830*t. Let d(q) = 6*i(q) + 35*r(q). Find j, given that d(j) = 0. -10, 0, 3 Suppose -2*w + 9 = w. Let j(g) = 79*g**3 - g**2 + 2*g - 1. Let m be j(1). Factor -w*t + 76 + t**2 - m + t. (t - 3)*(t + 1) Let d(a) = -3*a + 6. Let l be d(-9). Let i(c) = l + c - 33. Let n(x) = -x**2 + 4*x. Let f(w) = 6*i(w) - 2*n(w). Factor f(k). 2*k*(k - 1) Let u be 0/((-33)/(-11) - 6). Let -20/3*a**4 - 36*a**3 + u - 16*a - 160/3*a**2 = 0. Calculate a. -3, -2, -2/5, 0 Let f(z) be the third derivative of -z**6/240 + z**4/16 + z**3/6 + 2*z**2 - 51. Factor f(u). -(u - 2)*(u + 1)**2/2 Suppose 0 = -11*g - 29 + 29. Suppose 5*s + 8*s = g. Factor 1/8*f**2 - 3/8*f + s. f*(f - 3)/8 Determine j so that -149769/2*j**2 + 774*j - 2 = 0. 2/387 Let c = -7069/3 - -235
{ "pile_set_name": "DM Mathematics" }
uppose -2*j + 86 = 5*d - 0*d, -70 = -4*d - j. What is the remainder when 41 is divided by d? 5 Let d = -1863 + 1871. Let n(o) = -o**3 - o**2 + 85. Calculate the remainder when n(0) is divided by d. 5 Suppose -2*f - 23 = -4*c - 93, 0 = -2*c - 4. Calculate the remainder when 125 is divided by f. 1 Suppose -z = -3*z. Let v(d) = d + 63. Let r(f) = f + 9. What is the remainder when v(z) is divided by r(8)? 12 Suppose -2*w = -3*r + 4, -4*w = -5*r + 7 + 1. Suppose -s + 5 + 2 = r. Suppose 18*j - 30 = 150. What is the remainder when j is divided by s? 3 Let j(w) = 13*w - 8. What is the remainder when j(6) is divided by ((-5)/3)/((-2)/18)? 10 Let l = -52 + 58. Suppose p - 2*q + l = -3*p, 5*q = 3*p + 22. Calculate the remainder when 3 is divided by p. 0 Let l(p) = -3*p**3 - p**2 - 7*p - 15. What is the remainder when 281 is divided by l(-2)? 15 Let y(p) = p**2 - 33*p - 1437. Calculate the remainder when -96*2*(-3)/12 is divided by y(-25). 9 Let i(u) = -1 - 4*u - 7 + u + 4*u**2 + 4. Let a(w) = w**3 + 2*w**2 - 6*w - 6. Let q be a(-3). What is the remainder when 68 is divided by i(q)? 22 What is the remainder when 215 is divided by (-243)/36*(-8)/6? 8 Suppose 5*q + 4 = -6. Let z be q/(-6) - 3/9. Suppose z = -5*w + w + 48. What is the remainder when w is divided by 7? 5 Let z be (50/(-4) + -1)*136/102. Let y = 52 + z. Calculate the remainder when y is divided by 7. 6 Let z(m) = 16*m**3 + 3*m**2 - 2*m + 1. Let k be z(1). Calculate the remainder when (-2)/(-8) - (-534)/8 is divided by 28*(4/6 - 3/k). 11 Suppose -7*j + 171 = -158. What is the remainder when 185 is divided by j? 44 Suppose -4*z + 34 = 2*q, -2*q + 1 = 7. What is the remainder when 69 is divided by z? 9 Let b = -35 + 24. Calculate the remainder when 109 is divided by (-310)/b + (1 - 26/22). 25 Suppose -4*l = -5*y - 29, -3*l - 2*l = y. Let s = -50 - -55. Suppose -5*j - 10 = -7*j, -s*b - 15 = -4*j. What is the remainder when l is divided by b? 0 Suppose -16 - 28 = -4*x. Suppose -9*q + x = -52. Calculate the remainder when 25 is divided by q. 4 Suppose 0 = 3*f - 4 - 26. Let s = -153 + 261. Suppose 0 = -0*v + 3*v - s. What is the remainder when v is divided by f? 6 Suppose -4*t + 0*b + 113 = b, 26 = t + b. Suppose 2*w = t + 15. What is the remainder when 64 is divided by w? 20 Let n = -11 - -20. What is the remainder when ((-124)/(-8) - -4)*(-56)/(-42) is divided by n? 8 Suppose -10 = 2*r, 4*z = 3*r + 28 + 3. Suppose 2*i = -3*v + 3*i + 86, 113 = z*v - 3*i. Suppose -13*x + 118 = -25. What is the remainder when v is divided by x? 7 Suppose i + 25 = 2*i. Let u(y) = 3*y**2 + 7*y + 2. What is the remainder when u(-6) is divided by i? 18 Let m(p) = 5*p + 55. What is the remainder when 67 is divided by m(-4)? 32 Suppose i + 34 = 5*z, 0*i - 3*i - 2 = 5*z. Calculate the remainder when 29 is divided by (-2)/i + 1 + (-88)/(-9). 7 Let r(z) = 16*z - 1. Let a = -36 + 60. Calculate the remainder when r(1) is divided by a/(-18) - (-34)/3. 5 Let s(t) = t**2 - 18*t + 2. Let r be s(14). Let b = 81 + r. Let o(u) = 23*u - 13. Calculate the remainder when o(4) is divided by b. 25 Suppose -29 = 3*z - 38. Suppose 28 = -z*k + 7*k. What is the remainder when 34 is divided by k? 6 Let n = 265 + -246. What is the remainder when 416 is divided by n? 17 Let q(l) = -72*l - 1. Suppose o + 2*o + 3 = 0. Calculate the remainder when q(o) is divided by 18. 17 Suppose 3*w - 108 = -4*o, -4*o - 64 = -6*o + w. What is the remainder when o is divided by 8? 6 Suppose o + 2*a = 92, -5*a - 157 = o - 3*o. What is the remainder when o is divided by 5? 1 Let c(f) = 4*f + 74. Let q(o) = -5*o - 75. Let j(t) = 4*c(t) + 3*q(t). Let r(a) = a**3 + 24*a + 12. What is the remainder when j(0) is divided by r(0)? 11 Let v(i) = -i**3 + 8*i**2 + 15*i - 23. Calculate the remainder when v(9) is divided by 4. 3 Suppose 20*s - 13765 - 975 = 0. Calculate the remainder when s is divided by 18. 17 Let z be ((-11)/(-2 + 1))/1. Suppose -19 = -4*w + w + 4*b, -b - 26 = -5*w. Suppose -w*i + z = -19. What is the remainder when 9 is divided by i? 3 Let f be -2*(-5)/(-20)*134. Let v = f - -156. Suppose -3*q - 31 = -4*q. Calculate the remainder when v is divided by q. 27 Suppose -q = -3*y - 93, 0 = -4*q - 3*y + 2*y + 385. What is the remainder when q is divided by 33? 30 Let s be (-1)/(-4) + (-28)/(-16). Suppose -2*d - s*h + 13 = 3, 2*h - 2 = 0. Calculate the remainder when d is divided by ((-2)/(-6))/((-1)/(-9)). 1 Calculate the remainder when (-1495)/3*(-1440)/800 is divided by 18. 15 Suppose 6*b = 3 + 9. Calculate the remainder when 298/8 - 2/8 is divided by 40/b + (-2 - (0 + -2)). 17 Let m(a) = -a**2 + 3*a - 6. Let n be m(3). Let g(r) = 0*r - 8*r + 9*r + 9. What is the remainder when 14 is divided by g(n)? 2 Suppose -5*y = 5*r - 335, -65 = -r + 2*y - y. Let v = r - 13. What is the remainder when v is divided by 3? 2 Let f(z) = z**3 + 6*z**2 + z - 1. Suppose -5*h + 12*h + 30*h - 1887 = 0. Calculate the remainder when h is divided by f(-5). 13 Let o(t) = 5*t - 17. Let d be o(5). Calculate the remainder when (-2)/d + (675/12 - -6) is divided by 21. 20 Let w = -190 + 231. Calculate the remainder when 367 is divided by w. 39 Suppose 4*y = 1023 - 467. Calculate the remainder when y is divided by 68. 3 Suppose -22*u + 46*u = 16200. Calculate the remainder when u is divided by 26. 25 What is the remainder when (-837)/(-30) + -5 - (-3)/30 is divided by 6? 5 Suppose 4*c - 20 = -v + 22, 4*c + 158 = 3*v. Let g(j) = 48*j**2 + 5. Calculate the remainder when g(-2) is divided by v. 47 Let l be ((-4312)/55 + (-6)/10)*1. Let r = -47 - l. Calculate the remainder when r is divided by 18. 14 Let p = 4 + -5. Let t = p + 5. Suppose o - 40 = -t*o. What is the remainder when 23 is divided by o? 7 Let m = -24 + 24. Suppose 4*f + 28 = 2*y, m = -3*y + 4*y + f + 1. Suppose -c - y*r + 18 = 0, 2*r - 6 = -2. Calculate the remainder when 17 is divided by c. 7 Let q = -44 + 51. Suppose q*a - 653 = -184. Let h(g) = 23*g**2 + g - 1. Calculate the remainder when a is divided by h(1). 21 Let o be -93 + (-3)/(0 + 3). Let a = o - -110. What is the remainder when 56 is divided by a? 8 Let g = 9 + 1. Calculate the remainder when (282/45 + 3/(-5))*3 is divided by g. 7 Suppose 5*m - 3*h - 19 = -5*h, 2*m - 3*h = 0. Suppose 0 = -5*l + q + 216, -m*l + 39 = -3*q - 81. Calculate the remainder when l is divided by 23. 21 Let m(n) = n**2 + 4*n - 1. Let w be m(-4). Let k(h) = 6*h**2. Calculate the remainder when (-5 + 4)/(-1) - -10 is divided by k(w). 5 Let n be 69 - (0 - (-4 - -1)). Let u = -37 + n. Calculate the remainder when 86 is divided by u. 28 Suppose 80 = 3*b + b. Let d = 2548 + -2542. What is the remainder when b is divided by d? 2 Let t = -64 + 110. Let i = t + -17. Calculate the remainder when 115 is divided by i. 28 Let d be 76/20 + 1/5. Suppose d*a - 164 - 20 = 0. What is the remainder when a is divided by 12? 10 Let w(v) = -v**2 + 17*v + 11. Let x be w(11). Let d = x - 71. What is the remainder when 27 is divided by d? 3 Let m(z) = -z**2 - 5*z + 6. What is the remainder when m(0) is divided by 1? 0 Let u = -11 - -11. Suppose u = -23*p + 16*p + 140. What is the remainder when p is divided by 8? 4 Suppose 3*l - r = 122, -2*r = -29*l + 24*l + 202. What is the remainder when 206 is divided by l? 38 What is the remainder when -1 + (-1)/((9 - 3)/(-126)) is divided by 2*1 - (-1 - 0)? 2 Let t = -633 + 706. Calculate the remainder when t is divided by 41. 32 Suppose -5*c = -1450 + 1365. Calculate the remainder when (-4)/(-2) + 195/3 is divided by c. 16 Let g(y) = 66*y**3 + 2*y - 1. Let f be g(1). Suppose d + f = 5*x, 2*d = 4*x - 3*d - 62. What is the remainder when 75 is divided by x? 10 Let y = -254 - -297. Calculate the remainder when 89 is divided by y. 3 Let u(j) = j**3 - 29*j**2 + 57*j - 63. Calculate the remainder when 41 is divided by u(27). 5 Let y be -10 + (3 - (10 - 4)). Calculate the remainder when 86 is divided by 2 - -1 - (y + -6). 20 Let p = 914 - 825. Calculate the remainder when p is divided by 27. 8 Suppose 2*a - 21 = -17, 0 = 2*k - 3*a - 66. Calculate the remainder when k is divided by 13. 10 Let b(w) = w**2 + 12*w - 11. Let f be b(-14). Suppose -3*j = -10 - f. What is the remainder when j is divided by 2? 1 Let r(a) = -35*a - 41. Suppose -7*p - 2*p - 45 = 0. Calculate the remainder when r(p)
{ "pile_set_name": "DM Mathematics" }
- 4. Let k be g(h). Sort y, -4, k in decreasing order. k, y, -4 Let o = 5 - 4.62. Let v = 0.28 - o. Sort v, -5, -0.8 in decreasing order. v, -0.8, -5 Let f be (-10)/6 - (-1)/(-3). Let d = 3113 - 3117. Sort d, f, -1 in increasing order. d, f, -1 Let z = 0.6 + -0.1. Suppose 4*x + 176 = 4. Let r = -83/2 - x. Put z, -0.4, r in decreasing order. r, z, -0.4 Let g = -0.24 + -2.76. Suppose -3*r - 9 = -6*r. Put g, -4, r in decreasing order. r, g, -4 Suppose -t - 4 + 7 = -3*r, 0 = -2*r - 4*t + 12. Sort 53, r, 5 in decreasing order. 53, 5, r Let i(h) = -2*h - 24. Let j be i(-8). Let v be ((-40)/j)/((0 + -2)/2). Sort 0, -8, -3, v. -8, v, -3, 0 Let a = -1.1 - -1.23. Let k = a + -8.13. Suppose -5*y + 20 = 2*m, 0 = 3*y - 16 + 10. Put -0.5, k, m in increasing order. k, -0.5, m Let n(a) be the third derivative of 3*a**4/8 + 29*a**3/3 + 32*a**2. Let l be n(-7). Sort l, -1, 0, 5 in increasing order. l, -1, 0, 5 Let x be 5/(((3 + -11)/(-4))/2). Suppose 6*j + 1 + x = 0. Sort -3, 0, j. -3, j, 0 Let l be 64/20 + (-3 - (-3)/(-3)). Sort 3/4, 3/5, l in descending order. 3/4, 3/5, l Let k be 17/4 + 9/12. Sort 158, -5, k in descending order. 158, k, -5 Suppose 0 = 23*b + 28 - 143. Sort b, -0.4, -5, -2.5. -5, -2.5, -0.4, b Let t = 495 - 492. Let y be (2/15)/((-2)/12). Put 4, t, y in increasing order. y, t, 4 Suppose 0 = -91*j + 94*j - 48. Put j, -1, -4, 5 in decreasing order. j, 5, -1, -4 Let b = -273 - -156. Let l be 4/6*b/(-26). Sort -5, 0, l. -5, 0, l Let z = 6.8 + -19.6. Let u = z - -13. Let a = -1 + 0.8. Sort 5, a, u in ascending order. a, u, 5 Let i = -864 + 859. Put i, 1, 0.5, 4 in descending order. 4, 1, 0.5, i Let v(j) = -j**3 + 3*j**2 + 5*j. Let k be v(4). Let s = -13 + 13. Put s, 1, k in decreasing order. k, 1, s Suppose -8*c = -c + 35. Suppose 0 = -3*d - 0 + 3, -6 = 3*t - 3*d. Suppose -27 = y + 2*y + 2*k, 0 = -5*y + k - 32. Put y, t, c in descending order. t, c, y Let d = -0.027 - 1.973. Sort 39, -5, d, 5 in descending order. 39, 5, d, -5 Let o = 8 + -5. Let c = 27 + -26.6. Put 0.1, c, 2, o in descending order. o, 2, c, 0.1 Let a be 2*2*1/2. Let h = 0.52 + -0.51. Let o be 2/(-2) + (-5)/(-10). Sort o, h, a. o, h, a Let p = 228.1 - 228. Put p, -84/11, 1 in descending order. 1, p, -84/11 Suppose -2*k + 5*k - 2*x - 11 = 0, 2*k + 18 = -5*x. Suppose -63 = -4*l - 47, -2*o + 3*l - 6 = 0. Put k, o, -2, 2 in ascending order. -2, k, 2, o Let s = -64 - -70.3. Let g = s + -1.3. Let a = -47/33 + 12/11. Put -1, g, a in decreasing order. g, a, -1 Let q = -0.17 + 0.87. Let w = -0.21 + q. Let p = w - 0.19. Put p, 3, -2 in ascending order. -2, p, 3 Suppose 3*w - 322 + 310 = 0. Sort w, -1, -2, 19 in descending order. 19, w, -1, -2 Let p be (7/(-14))/(2/24). Let c be (8/p)/(3/9). Suppose -15 = 3*j, -5*t - 26 = -j - 6. Put t, c, 5 in descending order. 5, c, t Let w be 2/(-5) + 26/(-10). Suppose 15*d + 13 = 18*d - 5*k, 0 = -k + 1. Sort -5, w, d in descending order. d, w, -5 Let m be ((-2)/(-7) + 16/(-56))*1. Put -28, 2, -4, m in descending order. 2, m, -4, -28 Let z = 320 + -323. Sort z, -96, -4 in ascending order. -96, -4, z Let l(z) = 1 - 2*z - 21 + 0 - 6. Let k be l(-12). Let d(h) = -h**3 + 11*h**2 - h + 14. Let g be d(11). Sort k, g, -1 in increasing order. k, -1, g Let p = 105 - 100. Suppose p*c = 5*u - 10, 8 = 4*c - u + 1. Let h = 2 - -2. Sort h, c, 7 in increasing order. c, h, 7 Let v = -2127 + 2102. Put -5, -1, -3, v in decreasing order. -1, -3, -5, v Let b(d) = -8*d - 111. Let q be b(-14). Let r = 4 + 4. Let g = -11 + r. Sort q, g, 5. g, q, 5 Let x(h) = h**2 - 11*h + 3. Let c be x(11). Suppose 5*p = 2*p + 4*z + 15, -5*p = 5*z + 10. Sort c, -3, p, -14 in descending order. c, p, -3, -14 Let h = -14.55 + -1.2. Let u = h - -15.8. Put 3, 5, u in increasing order. u, 3, 5 Suppose 0 = -m + 4*o - 4, 0*o + 26 = 5*m + 3*o. Let q be 7 + (5 - 5) - (-2 + 2). Let b(s) = -s**2 + 7*s - 1. Let t be b(q). Put 1, m, t in ascending order. t, 1, m Let b be 19/12 - (-2 + (-70)/(-21)). Sort -2/3, 42, b, -1 in ascending order. -1, -2/3, b, 42 Let a = -183 - -193. Put -0.1, a, -1/6, 2 in descending order. a, 2, -0.1, -1/6 Let q(r) = r**3 - 7*r**2 + 8*r - 8. Let s be q(6). Let t = 376 + -391. Let x be s/(-10) + (-126)/t. Put 3, 2, x in increasing order. 2, 3, x Suppose -5*y = -5*k, 6*k - 2 = 4*y + k. Suppose 2*c = y*d - d - 9, 2*c = 4*d - 6. Sort c, 2, -22 in descending order. 2, c, -22 Let n be 9/(-6)*(-16)/(-6). Let o(b) = b**3 - 3*b**2 - 3*b - 6. Let j be o(4). Let v(p) = -p**2 - 3*p + 2. Let q be v(j). Sort q, n, -5 in increasing order. -5, n, q Let a be 2/8 - 110/(-40). Suppose 5 = -p + a. Put p, -4, -3, 1 in decreasing order. 1, p, -3, -4 Let s(f) = -11*f + 233*f**2 + 4 - 234*f**2 - 36. Let b be s(-7). Put 4, 0.3, 1/9, b in increasing order. b, 1/9, 0.3, 4 Let o = -25 + 28. Suppose -o*m + 0*m = -12, -4*x - 4*m = -12. Let f(q) = q - 12. Let v be f(6). Put 3, x, v in ascending order. v, x, 3 Let s be ((-10)/6)/((-2)/(-6)). Let y be ((-90)/(-36))/(7/14). Suppose 5*k + 40 = -5*r, r - 2*r + 4*k + 17 = 0. Sort y, r, s in ascending order. s, r, y Suppose 5*j = 2*x - 12, 2*j - 6 = -14. Sort -2, 3, -5, x in descending order. 3, -2, x, -5 Let n = 41 + -101. Let o = -59 - n. Put o, 0.4, 0.2 in descending order. o, 0.4, 0.2 Let n = 24 + -25. Sort -5, n, 1, 8 in descending order. 8, 1, n, -5 Let c(g) = -6*g. Let d be (-1)/3*6/(-1). Let w be c(d). Let a = 15 + w. Sort a, 14, -2 in descending order. 14, a, -2 Let x be (-3 - (-4 - -1)) + -6. Let h be (-2)/(-2) + (-1)/(x/(-5)). Sort -0.5, -4, h in decreasing order. h, -0.5, -4 Let j be (-2 - -1)/((-3)/15). Put 4, -7, j in increasing order. -7, 4, j Let s = 1.341 + -0.941. Let o = -9.1 - -9. Put 3, -2/11, o, s in increasing order. -2/11, o, s, 3 Suppose -4*g + 4*b = 60, 6*g + 5*b = 3*g - 5. Let o be 0/(g/8 + (-4)/(-16)). Sort -5, o, -0.4, 1 in increasing order. -5, -0.4, o, 1 Let n be (4/(-5))/((-1)/5). Suppose -j + 5*s - 21 = 0, -4*j + 6 = 2*s + 2. Let c be 3 + j - (-2 + 2). Sort n, 4/5, c in descending order. n, c, 4/5 Let c = 0.36 + 0.04. Suppose 2*x + 2*x + 12 = 0. Let h = -1.7 + 4.7. Put x, c, h in decreasing order. h, c, x Suppose -41 = 2*o - 3*g, -g - 85 = 3*o - 7. Let f = o + 22. Let l be ((-6)/(-4))/(f/4). Sort l, 12, -4. -4, l, 12 Let p be 7 + (-3 + 7 - 7). Sort 2, 1, -5, p in descending order. p, 2, 1, -5 Let c = -1022 + 35769/35. Sort c, 16, -0.1 in descending order. 16, c, -0.1 Let i = 80.2949 - 0.3149. Let u = i + -80. Sort 3/7, u, -1 in descending order. 3/7, u, -1 Let a be (-106)/14 + 152/266 - -6. Put -8, a, 46 in ascending order. -8, a, 46 Let i = 0.607 + -0.207. Put -1.2, i, -0.11 in ascending order. -1.2, -0.11, i Suppose -5*r - 6 = 9. Let k = r - -1. Let d(i) = i**3 - 14*i**2 - 13*i - 26. Let a be d(15). Put k, 2, a in ascending order. k, 2, a Let x = 1621.3 - 1621. Put x, -1, -9 in decreasing order. x, -1, -9 Let t be (1 - 0) + -23 + -1. Let g = t - -33. Suppose -5*p + 3*p = g. Sort 3, p, 4 in descending order. 4, 3, p Let s = 1473 - 1473.2. Let x be 2/(-3) - (-253)/15. Let y = x + -16. Put s, y, 0 in descending order. y, 0, s Let q = -7 - -3. Let j(g) = -g - 2*g**3 - 4 - 1 + 4. Let n be j(-1). Sort 0, q, n in descending order. n, 0, q Suppose -2*f = 4*m - 12, 0 = -m - 2 + 4. Suppose -2*q + 5*w - 13 = 0, 10 = f*q + 3*q - 4*w. Let d = q + -8. Sort d, 4, 0 in increasing order. d, 0, 4 Let i(x) = -x**2 - 12*x - 11. Let z be i(-11). Let a = -42 - -49.4. Let n = a + -5.4. Put n, z, -2 in ascending order. -2, z, n Let t = -3.5 - -3. Suppose -14*o + 12*o = 0. Suppose 13 = -5*p - h, -5*h - 23 = 4*p - o*h. Sort p, t, 2/9. p, t, 2/9 Let s be 16/56 - 3 - (1 - 4). Put -0.1, 0.11, s, 1/3 in decreasing order. 1/3, s, 0.11, -0.1 Let p = 246 + -248. Let r be -2*(2 + -1) + 9. Suppose 0 = -r*q + 3*q + 28. Put q, p, 3 in increasing order. p, 3, q Suppose -m = 59 - 19. Suppose 0 = 5*f + 2*d - 15, 0*f - 12 = -4*f - 4*d. Let n be (-16)/m*5/f. Sort 5, 2, n. n, 2, 5 Let x be ((-88)/14)/(-4) + -1. Let n be ((-13)/(-26))/((-3)/6). Sort n, x, -4, 0.5 in descending order. x, 0.5, n, -4 Let q = -0.683 + 0.183. Put 5/2, -1/5, q in descending order. 5/2, -1/5, q Let i = -108 + 112. Let m = 445/6 + -183/2. Let d = -18 - m. Sort d, i, 0 in descending order. i, 0, d Let n be (-81)/72 - 1/(-8). Sort -5, 18, n in descending order. 18, n, -5 Let t = 0.6 + -0.63. Let p =
{ "pile_set_name": "DM Mathematics" }
k? 12 Let j(t) be the second derivative of -13*t**7/21 - 11*t**3/6 - 9*t. Find the second derivative of j(k) wrt k. -520*k**3 Let m(o) be the second derivative of 1/42*o**7 + 0*o**6 + 0*o**3 - 3*o + 0*o**2 + 5/12*o**4 + 0*o**5 + 0. Find the third derivative of m(a) wrt a. 60*a**2 Let x be (4/10)/(3/15). Suppose 2*a = z + 1 + 3, 4 = x*a + z. What is the second derivative of 6*y**4 - 2*y - 6*y**4 - a*y**5 wrt y? -40*y**3 Find the third derivative of 0*d**2 - 7*d**2 - 2*d**2 - 7*d**5 + d**2 wrt d. -420*d**2 Let l(x) = x**2 - 1. Let f(w) = 25*w**2 + 12*w - 5. Let c(i) = -f(i) + 5*l(i). Find the second derivative of c(m) wrt m. -40 Let n(l) = l**3 - l**2 - l + 1. Let v(d) = -8*d**3 + 7*d**2 + 7*d - 12. Let w(z) = 14*n(z) + 2*v(z). Differentiate w(q) with respect to q. -6*q**2 Let y(x) = -x**3. Let m(n) = -19*n**4 - 2*n**3 + 2*n**2 - 18. Let i(j) = m(j) - 2*y(j). Differentiate i(w) with respect to w. -76*w**3 + 4*w Let a = -18 + 20. Find the third derivative of 7*c**a + 7*c**5 + c**2 + c**2 wrt c. 420*c**2 Let h(v) be the third derivative of 0*v + 4*v**2 + 1/60*v**5 + 0*v**3 + 0 + 7/24*v**4. What is the second derivative of h(w) wrt w? 2 Differentiate 3*g**3 + g**3 - 2*g**3 + 10 with respect to g. 6*g**2 Let s(m) = m + 7. Let t be s(-3). Let h be (-1)/4 - (-9)/t. Find the second derivative of -g**2 + 0*g**2 + h*g**2 - g wrt g. 2 Let p(y) = 2*y + 2. Let n(q) = 2*q + 1. Let v be n(-1). Let h(z) = -94 - z + 94. Let a(t) = v*p(t) - 5*h(t). Differentiate a(w) wrt w. 3 Let a(m) = -1. Let l(r) = 31*r - 36. Let j(n) = 4*a(n) - l(n). What is the derivative of j(t) wrt t? -31 Let n(m) be the third derivative of 5*m**8/84 - 17*m**5/60 + 10*m**2. What is the third derivative of n(u) wrt u? 1200*u**2 Suppose -4*g = -5*g - 5*f + 1, 2*g + f = 11. Let j be (-1)/(-3) - (-28)/g. Find the second derivative of 2*r - r**j + 0*r - 3*r wrt r. -20*r**3 Let c(a) = -3*a - 2*a + 2*a - 13*a**2 - 4 - a. Let d(j) = -j**2 - j + 1. Let y(g) = -c(g) + 4*d(g). Differentiate y(i) wrt i. 18*i Suppose -f = -n, -5*n + 12 = f - 18. Differentiate n*a**3 - 2*a**3 - 2*a**3 + 3 wrt a. 3*a**2 Let b(i) be the first derivative of i**7 + 5*i**6/6 + 2*i**3/3 - i**2/2 - 33. What is the third derivative of b(j) wrt j? 840*j**3 + 300*j**2 Let a(c) = 2*c**2 - 3*c - 1. Let d(u) = -u**2 + 2*u + 2. Let b(r) = -2*a(r) - 3*d(r). Differentiate b(g) wrt g. -2*g Suppose 0 = -2*b + 7 + 3. Suppose 0 = 3*f + 12, -2*f + 3*f = -3*c + b. What is the third derivative of -c*q**2 - 2 - 4 + 6 - 3*q**6 wrt q? -360*q**3 Let a(u) be the first derivative of u**5/30 - u**3/3 - 3*u**2/2 - 2. Let g(n) be the second derivative of a(n). What is the derivative of g(k) wrt k? 4*k Let p(i) = 7*i**4 + 35*i + 2. Let b(l) = 8*l**4 + 34*l + 3. Let c(o) = 2*b(o) - 3*p(o). Find the second derivative of c(y) wrt y. -60*y**2 Let q = 2 - 0. What is the second derivative of -q*y**3 - 4*y + y + 5*y**3 + 4*y wrt y? 18*y Let s = 6 + -3. Let v(b) be the first derivative of -3 - 3*b - 5*b**s + 6*b**3 + 0. Differentiate v(n) with respect to n. 6*n Let v(x) be the second derivative of -x**4/2 - 37*x**3/6 + 11*x. What is the second derivative of v(u) wrt u? -12 Let b(f) be the third derivative of -1/6*f**3 + 0*f**4 - 2*f**2 + 0 + 1/60*f**5 + 0*f. Differentiate b(c) with respect to c. 2*c Find the third derivative of 37 + 23*h**5 - 32*h**2 - 37 + 2*h**5 wrt h. 1500*h**2 Let i be 1 + -2 + (2 - -24). What is the third derivative of -3*n**4 + 0*n + i*n**2 + 0*n - 23*n**2 wrt n? -72*n Find the third derivative of -2*r**4 + 2*r**4 - 8*r**2 + 0*r**4 + 17*r**5 wrt r. 1020*r**2 Let b(t) be the third derivative of -t**6/24 + 3*t**4/8 - 5*t**2. What is the second derivative of b(k) wrt k? -30*k Let p(g) = -g**3 - g**2 - g + 1. Let c(n) = 10*n**3 + 20*n**2 + 14*n - 14. Let v(q) = -2*c(q) - 28*p(q). Find the third derivative of v(h) wrt h. 48 What is the second derivative of 37*s**4 - 5 - 35*s - 57*s**4 + 5 wrt s? -240*s**2 Let f(q) be the third derivative of q**7/210 + q**5/10 + 2*q**2. What is the third derivative of f(o) wrt o? 24*o Let b(n) = 46*n**3 - 5*n - 34. Let z(r) = -45*r**3 + 4*r + 33. Let s(c) = -4*b(c) - 5*z(c). What is the first derivative of s(f) wrt f? 123*f**2 Find the third derivative of -2*c**2 - 9*c**5 + c**5 + 12*c**2 + 3*c**2 wrt c. -480*c**2 Let a(w) = w**4 - 3*w**3 - 3*w**2 + 3. Let c(y) = y**3 - y**2 - 1. Let v(m) = a(m) + 3*c(m). What is the third derivative of v(j) wrt j? 24*j Let p(n) = -4*n**3 - 3*n**2 - 3*n + 20. Let k(a) = 7*a**3 + 5*a**2 + 5*a - 39. Let s(w) = 3*k(w) + 5*p(w). What is the first derivative of s(t) wrt t? 3*t**2 Let j(d) be the first derivative of 4*d**5/5 + 4*d**2 + 6. Find the second derivative of j(n) wrt n. 48*n**2 Suppose i + 1 = 2. What is the derivative of 2 + i - 4*g**2 + 0 - 1 wrt g? -8*g Let k = 1 - 2. Let l = 1 + k. Differentiate -2*m**3 + l + 5 - 3 wrt m. -6*m**2 Suppose -5*u - 2 + 17 = 0. Suppose u*d + d - 8 = 0. Find the third derivative of o**d - o**2 - 2*o**4 - 2*o**2 wrt o. -48*o Let u(x) be the first derivative of -28*x**2 + 66*x - 30. What is the derivative of u(r) wrt r? -56 Suppose -2*l = v - 7 - 5, 2*l - 10 = 0. Find the third derivative of -5*c**3 - 4*c**3 - 3*c**2 + 5*c**3 + 2*c**v wrt c. -24 Suppose -10 = -b - 4*b. Suppose 0 = q + b*q - 6. Differentiate -3*y**2 + 0*y**q - 3 + 0 + 0 wrt y. -6*y Let p(y) be the third derivative of 3*y**6/40 - 13*y**4/24 - 25*y**2. What is the second derivative of p(t) wrt t? 54*t Find the first derivative of 11*h**2 + 0*h**2 + 32 - 8*h**2 wrt h. 6*h Find the first derivative of -d**2 + 4*d**2 + 22 + 0*d + 0*d wrt d. 6*d Let s(n) = -12*n**3 - 3*n**2 + 3*n - 13. Let d(u) = -85*u**3 - 20*u**2 + 20*u - 90. Let q(m) = 3*d(m) - 20*s(m). What is the first derivative of q(o) wrt o? -45*o**2 Let j(p) be the second derivative of -6*p + 0 + 0*p**2 - 5/12*p**4 + 2/3*p**3. Find the second derivative of j(u) wrt u. -10 Let l be -5*(4/10 + -1). Let v(k) = 2*k**2 + 5*k + 2. Let m be v(-3). What is the third derivative of -l*z**5 + 3*z**2 - m*z**4 + 5*z**4 wrt z? -180*z**2 Let p = 1 - -1. Suppose -2*b = b - 6. Differentiate -b*z - p*z + z + 4 - 1 wrt z. -3 Let a(t) be the first derivative of 7*t**5/60 + 5*t**4/24 + t**2 + 2. Let g(r) be the second derivative of a(r). Find the second derivative of g(j) wrt j. 14 Let c(w) = -11*w**3 + 3*w**2 + 4. Let b(q) = -23*q**3 + 5*q**2 + 7. Let k(x) = 3*b(x) - 5*c(x). What is the derivative of k(y) wrt y? -42*y**2 What is the first derivative of 71 - 27 - 29 - 35 - 8*j wrt j? -8 What is the first derivative of 10*j + 7 - 7*j + 10*j wrt j? 13 What is the second derivative of 7*m - 15*m**2 - 31*m - 31*m**2 + 9*m**2 wrt m? -74 Let f(y) be the first derivative of 0*y**2 + 0*y**5 + 0*y + 3/7*y**7 - 3 + 0*y**6 + y**3 + 0*y**4. Find the third derivative of f(h) wrt h. 360*h**3 Let j(g) be the first derivative of -13*g**5/5 - 10*g**3/3 + 18. Find the third derivative of j(x) wrt x. -312*x Let v(p) be the first derivative of -3*p**4 - 5*p**3/3 - 4. What is the third derivative of v(w) wrt w? -72 Find the second derivative of 660*n - 653*n + 0 + 0 + 14*n**5 wrt n. 280*n**3 Find the first derivative of -10 - 2*u + 2*u - 2*u**2 + 11 wrt u. -4*u Suppose 4 = 2*o - 6. Suppose -3*l + 5*l + 4 = o*b, -l = -3. Find the third derivative of 0*s**2 + 5*s**4 - 3*s**b + 2*s**2 + 2*s**2 wrt s. 120*s Let r(o) = -27*o**3 - 26*o**2 + 5*o - 5. Let d(t) = 26*t**3 + 25*t**2 - 4*t + 4. Let a(b) = 5*d(b) + 4*r(b). Find the third derivative of a(u) wrt u. 132 Find the second derivative of 18*a**2 + 18 + 20 - 38 + 13*a wrt a. 36 Let n be -1 - -4 - 2/2. Differentiate 3 - n*d**3 + d**3 - 2*d**3 with respect to d. -9*d**2 Let x(o) = 12*o**4 + 9*o**3 - 9*o - 14. Let t(j) = 6*j**4 + 4*j**3 - 4*j - 7. Let m(r) = 9*t(r) - 4*x(r). Differentiate m(i) wrt i. 24*i**3 Let s(o) be the third derivative of 31*o**7/210 - o**3 - 12*o**2. What is the derivative of s(b) wrt b? 124*b**3 What is the second derivative of 4*s - 14*s - s + 5*s**3 wrt s? 30*s Let c(r) = -r + 5. Suppose 2*o - o + 6 = 0. Let x(p) = p - 2. Let i(q) = o*c(q) - 13*x(q). Find the first derivative of i(w) wrt w. -7 Let y(x) be the third derivative of x**8/56 + x**4/4 + 4*x**2. Find the second derivative of y(t) wrt t. 120*t**3 Find the third derivative of -g**3 + 5*g**3 + g**4 + 5*g**2 - 10*g**3 + g wrt g. 24*g -
{ "pile_set_name": "DM Mathematics" }
0504324 rounded to 5 decimal places? -0.00504 What is 0.0000006283728 rounded to 7 dps? 0.0000006 Round 0.001709 to 4 dps. 0.0017 What is -565238 rounded to the nearest one hundred thousand? -600000 What is 6490.28 rounded to the nearest ten? 6490 Round 0.1189696 to three decimal places. 0.119 Round 704.2932 to 0 decimal places. 704 Round 282053000 to the nearest 1000000. 282000000 What is -7698280.3 rounded to the nearest 1000000? -8000000 Round -0.00780373 to 3 decimal places. -0.008 Round 11464030 to the nearest 1000000. 11000000 What is -0.00460853 rounded to 5 decimal places? -0.00461 What is -18900100 rounded to the nearest one million? -19000000 What is 0.00159142 rounded to four decimal places? 0.0016 Round 0.0260547 to two dps. 0.03 What is -42.8988 rounded to the nearest integer? -43 What is 349.2589 rounded to 1 decimal place? 349.3 What is -72581.61 rounded to the nearest 10000? -70000 Round -189.17409 to the nearest integer. -189 Round 83.50103 to the nearest ten. 80 What is -56881.9 rounded to the nearest 10000? -60000 Round -1940679000 to the nearest 1000000. -1941000000 What is -268275600 rounded to the nearest one million? -268000000 What is -46917.1 rounded to the nearest ten thousand? -50000 What is -0.00592546 rounded to 4 dps? -0.0059 Round -3.269568 to zero dps. -3 Round -1.639565 to 2 dps. -1.64 Round -0.00149092 to three decimal places. -0.001 What is 0.013416078 rounded to 5 dps? 0.01342 What is -0.01469877 rounded to four dps? -0.0147 What is -889812 rounded to the nearest ten thousand? -890000 Round 22918.902 to the nearest ten. 22920 Round 0.000180743 to 6 decimal places. 0.000181 Round 0.000066132906 to 7 dps. 0.0000661 What is 0.521562 rounded to one dp? 0.5 Round -210.97902 to the nearest 10. -210 What is -57117950 rounded to the nearest ten thousand? -57120000 What is 0.000353607 rounded to five dps? 0.00035 What is -0.048743 rounded to 3 dps? -0.049 Round -1847.4809 to the nearest 100. -1800 What is -0.000000762558 rounded to seven dps? -0.0000008 What is -11899250 rounded to the nearest one million? -12000000 Round -0.0000359085 to six decimal places. -0.000036 Round -0.000413198 to four decimal places. -0.0004 Round 4.3311872 to two decimal places. 4.33 Round 23.0246 to one dp. 23 Round 0.019644025 to 4 decimal places. 0.0196 What is -5358990 rounded to the nearest one million? -5000000 What is -0.00005439818 rounded to 5 dps? -0.00005 Round 19442.06 to the nearest one thousand. 19000 What is -1965955000 rounded to the nearest one million? -1966000000 What is -0.001089147 rounded to 5 dps? -0.00109 What is 0.0000004846907 rounded to seven dps? 0.0000005 Round 0.8064629 to 4 dps. 0.8065 Round -633343.4 to the nearest one thousand. -633000 Round 587170 to the nearest one thousand. 587000 What is -0.00001189945 rounded to five dps? -0.00001 What is -71.9074 rounded to the nearest ten? -70 Round -13196066 to the nearest 10000. -13200000 Round -32841.381 to the nearest one thousand. -33000 What is -10.39186 rounded to 1 dp? -10.4 What is 0.230281 rounded to three dps? 0.23 Round -8.393454 to 2 dps. -8.39 Round -0.000013609084 to 6 decimal places. -0.000014 What is 11.1481 rounded to two decimal places? 11.15 What is 3311.775 rounded to the nearest one hundred? 3300 What is 0.0004937735 rounded to 6 dps? 0.000494 What is -20.74739 rounded to one dp? -20.7 What is 0.19031 rounded to the nearest integer? 0 Round -0.00001620287 to six decimal places. -0.000016 Round 0.0001331558 to 5 decimal places. 0.00013 What is 51270000 rounded to the nearest 1000000? 51000000 Round -3147799000 to the nearest 1000000. -3148000000 Round 134160 to the nearest one million. 0 Round 5331.6442 to the nearest 10. 5330 What is 3474.8514 rounded to the nearest 10? 3470 Round -181.8356 to the nearest one hundred. -200 What is 12242.616 rounded to the nearest integer? 12243 What is -352461.01 rounded to the nearest one hundred? -352500 Round 0.01906352 to 4 dps. 0.0191 What is 0.01166792 rounded to 3 dps? 0.012 Round -0.0009394345 to six decimal places. -0.000939 What is 476493 rounded to the nearest ten thousand? 480000 Round 41106.89 to the nearest one hundred. 41100 Round 57.4549 to the nearest ten. 60 Round -0.000848319 to five decimal places. -0.00085 Round 1329184 to the nearest 1000. 1329000 Round -68.20027 to one dp. -68.2 What is 0.028940998 rounded to 3 dps? 0.029 What is -1016.866 rounded to the nearest integer? -1017 What is -9502 rounded to the nearest 10000? -10000 Round 166727.4 to the nearest 100. 166700 What is -80250760 rounded to the nearest 1000000? -80000000 What is 0.0044860953 rounded to 5 decimal places? 0.00449 What is 225.91154 rounded to zero decimal places? 226 What is 0.82700167 rounded to one decimal place? 0.8 What is -0.0376289 rounded to 4 dps? -0.0376 Round -8.739 to the nearest integer. -9 What is -0.00000806658 rounded to six dps? -0.000008 What is 12241.09 rounded to the nearest one thousand? 12000 Round 87832.3 to the nearest 1000. 88000 What is 50897.51 rounded to the nearest ten thousand? 50000 Round -0.0000244644 to 7 decimal places. -0.0000245 Round -184688.8 to the nearest one thousand. -185000 Round -145977.01 to the nearest one thousand. -146000 Round 0.0002144733 to seven decimal places. 0.0002145 What is -0.29605 rounded to the nearest integer? 0 What is 2631196.4 rounded to the nearest one hundred thousand? 2600000 Round -1070489 to the nearest ten thousand. -1070000 Round -2.2412623 to three dps. -2.241 What is -10435510 rounded to the nearest 10000? -10440000 What is -709945.4 rounded to the nearest 100000? -700000 What is 0.00004948267 rounded to six dps? 0.000049 Round -0.0000009995519 to seven dps. -0.000001 What is -0.00006325415 rounded to 6 decimal places? -0.000063 What is -0.0001399073 rounded to six decimal places? -0.00014 What is 0.001379557 rounded to 4 dps? 0.0014 What is 47.64998 rounded to zero dps? 48 Round -0.7540971 to 1 decimal place. -0.8 What is 976860350 rounded to the nearest one hundred thousand? 976900000 Round 0.00749665 to 6 decimal places. 0.007497 What is 72463.17 rounded to the nearest ten thousand? 70000 Round 0.000593082 to six decimal places. 0.000593 What is -560937 rounded to the nearest 10000? -560000 Round -0.008353 to two dps. -0.01 Round 0.1367007 to two dps. 0.14 What is -0.874464 rounded to two dps? -0.87 Round -3426453.9 to the nearest 100000. -3400000 Round -2410370 to the nearest one thousand. -2410000 Round 23271300 to the nearest 100000. 23300000 Round 1287984 to the nearest ten thousand. 1290000 Round 1489.9149 to the nearest integer. 1490 Round 1326070000 to the nearest one million. 1326000000 What is -813962800 rounded to the nearest one million? -814000000 Round -3.70846 to 2 decimal places. -3.71 Round -188216.6 to the nearest 100000. -200000 What is 0.0000923257 rounded to 5 dps? 0.00009 What is 8311.54 rounded to the nearest 100? 8300 What is -0.35323955 rounded to 2 decimal places? -0.35 Round -0.00000233085 to 7 dps. -0.0000023 What is -4094158 rounded to the nearest 10000? -4090000 What is 0.002522 rounded to three decimal places? 0.003 Round 0.000316126 to 6 decimal places. 0.000316 What is 0.0268353 rounded to 5 decimal places? 0.02684 What is 34345600 rounded to the nearest one hundred thousand? 34300000 Round 1.456504 to three dps. 1.457 Round -0.0000420663 to six dps. -0.000042 What is -0.00000365884 rounded to seven decimal places? -0.0000037 Round 7.190387 to the nearest integer. 7 Round -0.00000017061789 to 7 dps. -0.0000002 Round -0.0584867 to four dps. -0.0585 What is 389.35 rounded to the nearest 10? 390 What is -0.43262 rounded to 2 decimal places? -0.43 What is -4441.12 rounded to the nearest ten? -4440 Round 0.00065919 to 6 dps. 0.000659 Round 2.412985 to two dps. 2.41 What is -0.0001800555 rounded to 6 dps? -0.00018 Round 50193600 to the nearest 1000000. 50000000 Round 0.458506 to 1 dp. 0.5 What is -36154495 rounded to the nearest 10000? -36150000 Round -0.0001822267 to six decimal places. -0.000182 What is 57669350 rounded to the nearest one million? 58000000 What is 2.07411 rounded to 3 dps? 2.074 What is 0.003623282 rounded to four dps? 0.0036 What is 19906.72 rounded to the nearest 10? 19910 What is 3778313.1 roun
{ "pile_set_name": "DM Mathematics" }
421 + 440. Suppose -460 = -2*n - 4*y, m*y = 3*n + 23*y - 684. Calculate the highest common factor of n and 56. 56 Suppose 4*m - 4*r + 8*r = 72, -2*r = -3*m + 64. Let c = 1 + 3. Suppose 0 = 4*b - 16, l + c*b = 3*l - m. Calculate the highest common divisor of l and 30. 6 Let j(s) = -3 - s**2 + 21 - 27 - 19*s. Let t be j(-10). What is the highest common factor of t and 9? 9 Suppose -2*i = -3*a + 1483, 28*a - 3495 = 21*a - 4*i. What is the greatest common factor of 1349 and a? 71 Let k = 14112 + -13561. What is the highest common divisor of 812 and k? 29 Let a(v) = 2*v + 13. Let l be a(-8). Let q = l - -22. Suppose -q*j = -18*j - 26. Calculate the highest common factor of j and 156. 26 Let y be (-364)/49*168/(-16). Suppose -22 = 2*i - y. Let b = -13 - -20. What is the highest common divisor of b and i? 7 Suppose 40 = -5*z + 15. Let l be 5*-1*(-4 + 8 + z). What is the greatest common factor of 4 and l? 1 Let b(v) be the third derivative of -v**5/60 + 3*v**4/8 + 5*v**3 - 4*v**2 + 6. Let z be b(9). Calculate the highest common factor of z and 240. 30 Let z = 8344 - 8025. Calculate the greatest common factor of 2001 and z. 29 Let l(x) = 28*x + 48. Let f(c) = -29*c - 45. Let p(q) = 6*f(q) + 5*l(q). Let z be p(-11). Calculate the highest common divisor of z and 43. 43 Suppose -71 = 131*q - 2429. What is the highest common factor of 474 and q? 6 Let g be 18/(-33) - (-1)/11*94. What is the highest common divisor of g and 386? 2 Let i be 5/1 - 2464063/(-49). Calculate the highest common factor of i and 18. 18 Suppose h + 16215 = 6*u - 2*h, 5*u = 3*h + 13515. What is the highest common factor of u and 100? 100 Let k(o) = -o**2 - 5*o + 22. Let n be (7 - 1)*(-4 + (0 - -3)). Let u be k(n). Calculate the greatest common factor of 80 and u. 16 Suppose -r = -x - 354, 0 = 3*r + 2*x - 0*x - 1047. Let l = 264 - 251. What is the highest common factor of r and l? 13 Let w(j) = 17 - 5*j - 3 + j**2 + 3 + 2*j. Let v be w(7). Calculate the greatest common divisor of v and 18. 9 Let j be ((-721)/515)/((-1)/5). What is the highest common divisor of j and 10997? 7 Let k(q) = -q - 12*q + 4*q**2 + 7*q + 6*q + 10. Let b be k(-5). Let c(i) = 8*i + 4. Let u be c(5). Calculate the highest common divisor of b and u. 22 Let h(w) = 39*w - 15. Let z be h(11). Let q be 11/44 - z/(-8). Let x(p) = -33*p + 204. Let m be x(5). Calculate the greatest common factor of q and m. 13 Let g(u) = -10*u - 4. Let l be g(-6). Suppose a + a = l. Suppose -10 + 121 = 6*y - 309. Calculate the highest common factor of y and a. 14 Let p(d) = 5*d + 7. Let a be p(-4). Let r = a - -22. Suppose -11*y - 8 + 107 = 0. Calculate the greatest common divisor of y and r. 9 Suppose 20 = 8*r - 1100. Suppose -4*w = 3*a - 36, 38 = 4*a + 3*w - 3. Suppose -y + 48 = -a. What is the greatest common divisor of r and y? 28 Let l be 1408 - (33/44)/(3/(-24*1)). Calculate the highest common divisor of l and 126. 14 Suppose -36*t + 5760 = 24*t. Calculate the highest common divisor of 186 and t. 6 Let w(v) = v + 8. Let t = 156 + -142. Let a be w(t). Calculate the highest common divisor of 99 and a. 11 Suppose 17861*q - 17853*q - 2184 = 0. What is the highest common factor of q and 3507? 21 Suppose 0 = c + 2*s + 13, -64 = 4*c + 3*s + 2*s. Let j(w) = w + 23. Let x be j(c). What is the greatest common factor of x and 34? 2 Suppose 210 = 5*c - 0. Let m(q) = -3*q**3 - 2*q**2 - 4*q - 9. Let l be m(-2). Let d be (-20)/l + 1 - 1009/(-3). Calculate the highest common factor of d and c. 42 Let q = 53 + -11. Let h(n) = 14*n**2 - 177*n + 5. Let z be h(13). What is the highest common factor of z and q? 14 Let n(l) = 512*l + 1168. Let r be n(-2). What is the highest common factor of r and 36? 36 Let j = 9610 - 9162. Let x be (1 - 21)*126/(-15). What is the greatest common divisor of j and x? 56 Let i be 3449 - ((1 - -6) + (-480)/(-120)). What is the highest common divisor of i and 12? 6 Let a be (-45)/60 + ((-7716)/(-40))/((-24)/(-20)). What is the highest common divisor of 344 and a? 8 Let u be (-156)/(-1)*(-6)/4. Let d(w) = -w + 50. Let x be d(38). Let p be 2/4 - u/x. What is the greatest common divisor of p and 60? 20 Let b = 11 + -9. Let j be (0 - (-2 + -88))*1/b. Let s be (-9 + -1)/((-4)/6). What is the greatest common factor of j and s? 15 Let v = -212485 + 212486. Let g = 6 + 1. What is the greatest common factor of g and v? 1 Suppose 5 = 5*b - 10. Suppose -4*u = 2*m - 0*u - 66, b*u - 61 = -2*m. Suppose -21*c - 72 = -m*c. Calculate the greatest common divisor of 4 and c. 4 Let k = -364 - -368. Let a be -4 - (k - (-5 + 17)). Suppose -2*n = -2 - 18. What is the greatest common divisor of a and n? 2 Suppose m - 186*a + 181*a - 1 = 0, -2*a = 5*m - 32. What is the greatest common factor of 2523 and m? 3 Let h(z) = 116*z + 1078. Let g be h(0). Calculate the highest common divisor of g and 110. 22 Suppose 139 + 61 = 5*y. Let z(j) be the first derivative of j**2 + 30*j - 25. Let b be z(-10). What is the highest common factor of y and b? 10 Suppose 92*a + 43 = 96*a - 3*s, -2*a = 2*s - 18. Let m(d) = 318*d + 24. Let i be m(2). Calculate the greatest common divisor of a and i. 10 Suppose -q + 4*p = -3834, -90*q + 5*p = -89*q - 3832. What is the greatest common factor of 68 and q? 34 Let n(r) = -r**3 + 36*r**2 + 68*r + 58. Let i be n(36). Calculate the greatest common divisor of 28 and i. 14 Suppose 0 = 4*g - r - 37, -2*g - 7 = 5*r - 20. Suppose 3*x - 22 - 23 = 0. Let v be (84/(-10))/((-2)/x). Calculate the highest common divisor of g and v. 9 Let z = -16 - -21. Suppose 16 = z*u - 2*h, 0 = -2*u - u + 5*h + 2. Let m be 5/((-60)/(-54)) - 2/u. Calculate the greatest common factor of 4 and m. 4 Suppose 5*w + 2*j = 2*w + 644, 4*j = -4*w + 864. Calculate the highest common factor of 159 and w. 53 Let s be 3281 + (8 - (-16 + 29)). Calculate the highest common factor of 378 and s. 126 Suppose -c + 0*c = 10. Let r(v) = -3*v + 6 - 14 + 2*v**3 - v**3 - 10*v**2 - 2*v**3. Let t be r(c). What is the greatest common factor of 55 and t? 11 Let d = 593 - 600. Let n(a) = 4*a**2 - 6*a - 38. Let g be n(d). Calculate the greatest common factor of 125 and g. 25 Let i be (38/3)/((-3)/(-612)). What is the greatest common factor of i and 16? 8 Let k = 6830 + -6630. Calculate the greatest common factor of 1900 and k. 100 Let a be 7/3*(0 + 15). Let i(v) = -11*v + 103. Let l be i(8). Let r be 1/(10/l)*140/15. Calculate the greatest common divisor of r and a. 7 Let u be 5764/176 - (-3)/12. Calculate the greatest common divisor of u and 1716. 33 Let w be (-1400)/(-105) + -14 - 10/(-6). What is the greatest common divisor of w and 283? 1 Let c = -31 - -77. Let f be 0/15 + (128 - -1). Suppose -2*l = 3*w - f, 5*l - 2*w = 9*l - 270. What is the highest common factor of l and c? 23 Suppose -78*j - 2 = -76*j. Let o(u) = -55*u + 1. Let q be o(j). Let z be 1443/21 + 16/q. Calculate the highest common divisor of 46 and z. 23 Let j(p) = -8*p**2 - 173*p - 761. Let a be j(-11). What is the highest common divisor of a and 33234? 174 Let i = -346 - -359. Suppose 5*p = 5*z - 90, 5*p + 33 = i. What is the greatest common divisor of 224 and z? 14 Let a = 78 - -75. Suppose 101 = 5*h + t - a, 4*h - 9*t - 213 = 0. What is the highest common divisor of 663 and h? 51 Let w = 298 + -664. Let d = -351 - w. What is the greatest common factor of d and 55? 5 Let p = 39 - 23. Let h(u) = u**2 - 18*u + 26. Let c be h(16). Let z be 9065/140 + c/8. What is the highest common factor of z and p? 16 Suppose -539 = -5*m + 3*y, -2*m + 243 = 4*y - 9. Let a = 40 + -24. Calculate the highest common factor of m and a. 16 Suppose -3*g - 12 = -0*g, 3*i + 6 = -3*g. Let w be 5 + 15*i/6. What is the highest common divisor of 50 and w? 10 Let j(y) = 28*y + 205. Let q be j(-6). Suppose -93 = -2*c - q. Calculate the greatest common factor of 980 and c. 28 Let o(l) = 3*l**2 - 7*l - 748. Let v be o(-16). What is the greatest common divisor of 627 and v? 33 Let p be (-10980)/244*(-14)/6. Calculate the greatest common divisor of 2352 and p. 21 Suppose -c + 3*j = -20, -73 = -5*c - 2*j - 24. Let a = -7 + 11. Let k be (2 - -20)/(a/10). Calculate the highest common divisor of c and k. 11 Let f = -9236 + 9659. Calculate the greatest common factor of f and 117. 9 Suppose 0*m + 2*m = 0. Suppose -4*y + m*z + 3*z + 557 = 0, 2*y - 4*z -
{ "pile_set_name": "DM Mathematics" }
the common denominator of (9/4)/(90/p) and -71/20? 20 Let g = 219371/40 + -5484. Let k = 370685/22 - 16846. What is the common denominator of k and g? 440 Let v(j) = -2*j**2 + 5. Let m = -7 - -4. What is the least common multiple of m/(-2 - (-9)/6) and v(0)? 30 Let b(o) = -6*o - 90. Calculate the least common multiple of b(-17) and 9. 36 Let g be 4*(-2)/(-24)*1*-219. What is the common denominator of g/(-36)*(-8)/6 and 151/12? 108 Let u = 21 + 11. Calculate the lowest common multiple of u and (-8 - 6195/(-767)) + (-103)/(-13). 32 What is the common denominator of 23/2 and 1/(-4) - (-1)/((-48)/(-292))? 6 Find the common denominator of -93/110 and (-3 - 0)*(-15)/2145. 1430 Let z = 38/127 + -6781/1016. Let f = -1928486 + 38559743/20. Let d = f + 1955/4. Calculate the common denominator of z and d. 40 What is the common denominator of -59/18 and 7/(-14) + (-122)/6 + 2? 18 Let t = -7778 + 381148/49. Find the common denominator of 29/77 and t. 539 Let p be ((-12)/4 - -4) + (-2 - 0). What is the common denominator of p/((-20)/(-162)) - 18/30 and 73/30? 30 Let i be (21/(-6) - -2)*-2. Suppose -3*r + 147 = -3*j, 2*r + i*r - 195 = -5*j. Calculate the common denominator of (-3)/6 - (-202)/r and 81/4. 44 Let c be (-1)/(-10) - 141801/22635. Let o = 1/503 - c. Calculate the common denominator of o and 112/6 + 1/(-1). 6 Let k = -5237 - -73331/14. Suppose 3*n = 4*n - 5. What is the common denominator of (-2)/n - 677/(-30) and k? 42 Let v = -35 - 93. Let n = v - -138. What is the least common multiple of n and 45? 90 Suppose -i - 3 + 17 = 0. Suppose -4*c - 12 = -4*g, 0 = 4*g + 2*c - 4*c - i. Suppose 0 = -15*d + 527 - 227. What is the lowest common multiple of d and g? 20 Find the common denominator of 8/51 and (-17)/(-136) + 2 + 790/144. 306 Suppose 2*y - 7*y - 45 = 0. Let w(u) = u**2 + 11*u + 33. Let x be w(-5). Let n = x - y. Calculate the lowest common multiple of 24 and n. 24 Let z = 220171/25 - 8808. Calculate the common denominator of z and 52/55. 275 Calculate the common denominator of 6/(-16) - (-1512)/320 and 17/18. 180 Let r = 56 - 32. Calculate the common denominator of (-1)/r*369/6 and 9/2 - (-1)/(-3). 48 Calculate the common denominator of -13 + (-5 - 217/(-42)) and -54/5. 30 Suppose 2*a - 4*a = 0. Suppose h + 2*o - 4 = a, -2*h + 3*h - o = 10. Calculate the smallest common multiple of 44 and h. 88 Suppose 3 = 3*t - 3. Suppose -8 = t*h - 24. What is the lowest common multiple of 6 and h? 24 Suppose 3*v - 6*v - 2778 = 0. Let w be -3*8*1/3. Calculate the common denominator of w/36 + v/126 and 3/4. 28 Let d = -18 - 22. Let z = d - -52. Calculate the smallest common multiple of z and 2. 12 Let r(s) = s**2 - s - 8. Let k = 11 + -14. What is the least common multiple of r(k) and 10? 20 Let w = -14226647/838120 - 11/20953. Let o = 11/40 - w. What is the common denominator of o and -56/5? 20 Let i(b) = 2*b - 24. Let h be i(5). Calculate the lowest common multiple of 8 and (-7)/(h/(-6)) - -7. 8 Suppose -21 - 19 = -4*v. What is the lowest common multiple of (2/(-7))/((-3)/231) and v? 110 Suppose -4*q = -7*q + 63. Let s = q - 16. Suppose -2*n + 20 = 3*n + 5*t, -s*n = -2*t + 1. Calculate the lowest common multiple of 8 and n. 8 Let a be (-536)/(-12)*85/(-4). Let x = -969 - a. Let v = -638/15 + 185/6. Find the common denominator of v and x. 30 Let l(t) = t**2 + t - 56. Calculate the lowest common multiple of l(8) and 92. 368 Let p be 1*2946/(-68)*36/27. Let w = -13846/255 - p. What is the common denominator of w and -77/30? 30 Let p = 56/393 + -19663/15720. What is the common denominator of p and 87/20? 120 Let o be (-2)/(-6) + 2/3. Let c = -69 - -70. Find the common denominator of 14/16 - o/c and 77/6. 24 Let a be (-6)/(-18) - 58/(-6). Suppose 7*m = a*m - 60. What is the common denominator of 9/10 and 2/(-22)*(-305)/m? 220 Let m be (-10)/15*2 + (-3)/(-9). Calculate the lowest common multiple of 91 and ((-2)/(-2)*-8)/m. 728 Let q = -1843/393 - -3/131. Suppose -4*v - 5*o = -14, 4*o = -0 + 8. Find the common denominator of (-44)/28*-2 + v and q. 21 Let u be (-4)/6*(-16399176)/(-6608). Let h = u + 487206327/294056. Let s = h - -2/623. What is the common denominator of -1/9 and s? 72 Suppose -4*v = -4*p - 576, 6*v = p + 3*v + 144. Calculate the common denominator of (76/(-10))/(3 - (-6)/(-15)) and 1318/p + 10/(-45). 104 Let z be (1 - 8/12)/(190/6101). Let h = z - 23/57. Let d = -3719/4 + 950. What is the common denominator of d and h? 20 Suppose 0*t - 4*t = -5*y + 216, 3*y + t = 116. What is the lowest common multiple of y and 45? 360 Suppose -3*u = -12 - 0. Suppose 3*t - 2*t = 44. What is the common denominator of u/(-22) + (-216)/(-462) and t? 7 Let d = -7073/26 - -3270/13. What is the common denominator of d and (16/54)/((-2)/6)? 18 Let o be 1*(-87)/6 - (-3)/(-6). Calculate the common denominator of (o/(-6) - 3) + 82/(-6) and -13/16. 48 Suppose 44 = 4*t - 4*x, -4*t - 5*x - 35 = -97. Let q = 16 - t. What is the smallest common multiple of q and 3? 3 Let d(s) be the third derivative of -s**5/60 - 5*s**4/12 - s**3/3 + 8*s**2. Calculate the smallest common multiple of d(-6) and 18. 198 Suppose -126 = -c - 2*c. Suppose -6 = -5*m + 4. Let g = 0 + m. What is the least common multiple of g and c? 42 Let m(k) be the third derivative of -k**6/120 - 7*k**5/20 + 43*k**4/24 - 28*k**3/3 - 10*k**2. What is the least common multiple of (2/3)/(2/12) and m(-23)? 52 Let i be ((-6)/(-5))/(45/(-1950)). Let m = 60 + i. Calculate the least common multiple of m and 2. 8 What is the common denominator of (-121)/(-15) + 14/(-3) + 5 and 26/25? 25 Suppose 6*n + 31 = 115. Calculate the lowest common multiple of 5 and n. 70 Suppose -3*w + 2 = -2*d, -119*w + d = -121*w + 13. What is the lowest common multiple of 18 and w? 36 Let h be 3 + 0 + (-202256696)/66171. Let g = h - -44/9453. Let b = g - -3059. Find the common denominator of -11/10 and b. 70 Find the common denominator of 3*9/(-27) + (-158)/(-165) and 37/50. 1650 Suppose 0 = -i + 5 - 1. Suppose -v + 22 = 5*t, -4*v + 8*t - 4*t + 16 = 0. Suppose 0 = i*x - v - 21. What is the lowest common multiple of 1 and x? 7 Let y = 10 + 8. Suppose -7 = 5*l - 107. Calculate the lowest common multiple of y and l. 180 Let x(z) = 1 - 3*z + 4*z**2 + 3*z**2 - 5*z**2 + 5*z. Calculate the lowest common multiple of 3 and x(-2). 15 Calculate the common denominator of -45/368 and ((-3339)/(-210))/((-7)/((-70)/(-24))). 368 Let v be 1 - (2 + (-7854)/7850). Let j = -266918/35325 + v. What is the common denominator of j and ((-2)/32)/((-13)/2522)? 72 Suppose -17 = g + 3. Let v(y) = -y**2 - 10*y - 12. Calculate the least common multiple of v(-8) and (g/(-5))/(-12)*-33. 44 Let w = -430 + 250. What is the common denominator of -67/42 and 2289/w*(-22)/77? 210 Let s = -20 + 20. Suppose s*v = 2*v - 4. Calculate the least common multiple of (-4)/((-3)/(-33)*-2) and v. 22 Let v = -11029 + 11047. Let b(p) = -p**2 - 5*p + 4. Let d be b(3). What is the lowest common multiple of v and (-1)/(((-2)/d)/(-1))? 90 Let u(a) = a**2 - 17*a + 76. Calculate the lowest common multiple of 952 and u(10). 2856 Let b = 237 + -235. Let l(t) = 3*t + 5 + 1 + 0*t. Calculate the lowest common multiple of l(b) and 8. 24 Let h(v) = 2*v**2 - 3*v + 7. Let j(a) = 3*a. Calculate the lowest common multiple of h(0) and j(1). 21 Let b be -89 - (-4 - -4 - 4). Let v = -8 - -33/4. Calculate the common denominator of v and 17/b + (-2)/60. 60 Suppose -2*u + 293 = -145. What is the lowest common multiple of 33 and u? 2409 Let h be (((-75)/(-6) + -2)*-10)/1. Calculate the common denominator of (-1 - h/54) + (-1 - -1) and -73/18. 18 Let q = -68 - -77. Let z = -19 - -23. Calculate the lowest common multiple of z and q. 36 Let c = 1 + 2. Suppose -b - 40 = -c*b. What is the smallest common multiple of b and 8? 40 Suppose 2*o - 7 = -5*s, 0*o - 4*s - 4 = o. Calculate the least common multiple of 30/(-55) + 876/33 + 0 and o. 208 Suppose -2*v = -3*b + v + 3, 2*b + 4*v = 8. Calculate the least common multiple of 20 and ((-40)/(-50))/(b/10). 20 Suppose 76 = 3*y - 2*y + 2*p, 3*y - 3*p = 210. Calculate the smallest common multiple of 2/(-9) - (-60)/27 and ((-10)/8)/((-9)/y). 10 Calculate the common denominator of 143/36 and (-86)/387*1/36. 324 Let o be 8/12 + 2/(-3). Let y(g) = g**2 - 132*g - 127*g + 258*g + 6. Calculat
{ "pile_set_name": "DM Mathematics" }
l = -1 + 1.000037. Round l to five decimal places. 0.00004 Let r = 5.4 + 1.1. What is r rounded to zero decimal places? 7 Let j = 3.14 + -126.84. Let l = 59 + 58. Let n = j + l. Round n to the nearest integer. -7 Let n = -18 - -19.3. Let l = 1.309 - n. Let i = l + -0.00992. Round i to four decimal places. -0.0009 Let q = 60 + -56.1. What is q rounded to 0 decimal places? 4 Let f = 0.52 - 2.62. Let u = 2 + f. What is u rounded to one decimal place? -0.1 Let z(g) = 530767*g + 29. Let h be z(13). Round h to the nearest 1000000. 7000000 Let b = 11.883 + -11.15. Round b to one dp. 0.7 Suppose 6 = 4*l + 3*i, -5*i - 3 + 13 = -l. Suppose 2*t - 7134 + 853206 = l. Let u = t + 1343036. Round u to the nearest 100000. 900000 Let t = -2804179 + 1134179. What is t rounded to the nearest 100000? -1700000 Suppose -d + 219697 + 864081 = -j, -4*j = -d + 1083781. Let v = -10195291 + d. Let o = v + -2888486. What is o rounded to the nearest one million? -12000000 Suppose 2*k + 2*j = 3592, -2*k + 3*j + 1852 = -1725. Suppose -i = -3*v + 590 - k, -5*v = 2*i + 1994. Round v to the nearest one hundred. -400 Let n = -1.91181 + 1.91. Round n to 4 decimal places. -0.0018 Let m = -307513 - -117513. Round m to the nearest 100000. -200000 Let j = 7.3 + -7.73. Let q = 0.464 + j. What is q rounded to two dps? 0.03 Let p be (270/4)/((-4)/8000). Round p to the nearest 10000. -140000 Let g = -303 + 753. Round g to the nearest one hundred. 500 Suppose 9027 = -3*a + 45027. Round a to the nearest 1000. 12000 Suppose 4*y = -2*v + 2*y - 238, 0 = 4*y - 20. Round v to the nearest ten. -120 Let v = -77 + 91.2. Round v to the nearest integer. 14 Let q = 2.796 + 0.224. Let i = -3.0199869 + q. Round i to 6 dps. 0.000013 Suppose -3*g - 9979991 = v + v, 4*g - 12 = 0. What is v rounded to the nearest one million? -5000000 Let h be ((-1414400)/12)/((-2)/375). Suppose a + 5*i - h = -0*i, -4*a + 4*i = -88400000. Round a to the nearest one million. 22000000 Let p = -1.3 - -1.300011. Round p to 5 decimal places. 0.00001 Let z(u) be the third derivative of u**2 + 0 + 0*u - 2437/12*u**4 + 4/3*u**3. Let g be z(-8). Round g to the nearest ten thousand. 40000 Let l = 809682.260078 + -809683. Let w = -0.74 - l. Round w to five dps. -0.00008 Let a = 12.96 + 0.04. Let z = -25 + a. Let b = -11.99923 - z. Round b to four decimal places. 0.0008 Let g = -2.56008 - -2.58. Let w = g + -0.02. What is w rounded to five decimal places? -0.00008 Suppose -9 + 25 = -2*j. Let a be 4000/3*3180/j. What is a rounded to the nearest one hundred thousand? -500000 Suppose -5*u + 1706782 - 456782 = 0. Round u to the nearest 100000. 300000 Suppose -12 = 3*s - 6*s. Suppose -5*a - s*c - 30 = 0, 0*c = 2*a - c - 1. Let x be 3250/((a/1)/(-320)). What is x rounded to the nearest one hundred thousand? 500000 Let r = -3 - -2.92. Let x = -0.0800042 - r. What is x rounded to 6 dps? -0.000004 Let d = -4945374472.0000121 + 4945374709. Let w = d - 237. Round w to 6 decimal places. -0.000012 Let l = -622 - -354. Let y = l + 266.61. Let d = y - -1.453. What is d rounded to 2 dps? 0.06 Suppose 0 = 4*i - 11889634 - 12330054. Suppose -5*q - 22554922 = -i. What is q rounded to the nearest 1000000? -3000000 Let k = -13208748 - -25808748. What is k rounded to the nearest one million? 13000000 Let i = -593 + 595.056. Let q = -0.044 - i. Let w = 2.1000065 + q. What is w rounded to 6 dps? 0.000007 Let d = -79.3 - -74. Round d to the nearest integer. -5 Let i = -23 + 23.000153. What is i rounded to 4 dps? 0.0002 Let r = 75 - -585. Suppose -8*i - r = -3*i. What is i rounded to the nearest ten? -130 Let g = -15 + 47. Let q = -28.8 + g. Round q to 0 decimal places. 3 Let z = -24551.1963 + 24546. Let p = z + 5.2. What is p rounded to three decimal places? 0.004 Let h = -0.2 + 0.68. Let y = -0.480092 + h. What is y rounded to five dps? -0.00009 Let s(d) = 4*d**3 + 5*d**2 - 4*d. Let b be s(3). Let u be (5 - 7)/((-1)/2). Suppose -u*q - 57 = -b. What is q rounded to the nearest ten? 20 Let f = -17.17 - -0.17. Let m = 50 + f. Let q = m - 39.2. What is q rounded to 0 decimal places? -6 Let q be (-101520)/12*(-1)/((-3)/(-5)). What is q rounded to the nearest 1000? 14000 Let z = -0.007 + -0.083. What is z rounded to one decimal place? -0.1 Suppose 0 = 4*n - 5 - 11. Suppose -n*f + f = 3000000. Round f to the nearest one million. -1000000 Let w = 3 + -5. Let o = 2.04 + w. Let n = 0.49 - o. What is n rounded to 1 dp? 0.5 Suppose 25 + 875 = -4*r. What is r rounded to the nearest ten? -230 Let z = -0.3 + 0.4. Let x = z - 0.5. Let t = 0.4000044 + x. What is t rounded to six decimal places? 0.000004 Let a = 1287516.9560033 + -1287594.956. Let j = 77.97 + 0.03. Let q = a + j. Round q to six decimal places. 0.000003 Let x = 450.07 - 455. Round x to 0 dps. -5 Let l(p) = 23*p. Let i be l(-1). Round i to the nearest ten. -20 Let b = 11 - 8. Let z = b + -3.5. Let t = 0.5000004 + z. What is t rounded to six decimal places? 0 Let c = 392333.0800035 - 392333. Let g = 0.18 - 0.1. Let y = g - c. What is y rounded to six dps? -0.000004 Let f be 2 + 2 + -3 + 2. Suppose 5*u = -5, 4*h - f*u - 19599998 = -5*u. Round h to the nearest 1000000. 5000000 Let a = 1.22 - 0.992. What is a rounded to 2 dps? 0.23 Let b = 71.9999923 - 72. Round b to 6 decimal places. -0.000008 Let g = -0.72 + 0.749. Let k = g - -5.771. Let m = k - 5.7999969. Round m to 6 dps. 0.000003 Let q = -22.00064 - -22. What is q rounded to 4 dps? -0.0006 Let k = -8.2 - 1.8. Let l = k - 2. Let u = l - -12.000037. Round u to five decimal places. 0.00004 Let p = -0.166 + -4.234. Round p to the nearest integer. -4 Let g = -54.3707 + -1.62901. Let t = g - -56. What is t rounded to 4 decimal places? 0.0003 Let m = -0.006 - -0.005842. What is m rounded to five decimal places? -0.00016 Suppose -290 = 5*a + v, a + 8*v = 3*v - 58. Let d = a + -3. What is d rounded to the nearest ten? -60 Let o = -13.10000059 + 13.1. Round o to 7 decimal places. -0.0000006 Let m = -49.6 + 8.6. Let k = 659.9371 + -700.935. Let h = k - m. Round h to 3 decimal places. 0.002 Suppose -5*r = -13 - 2. Let t be 4/r - (-2)/3. Let n be -2 - (-51 + -2) - t. What is n rounded to the nearest ten? 50 Let l = -7 - -11. Let z = l + -3.8. Let j = z - -0.3. What is j rounded to 0 decimal places? 1 Let w = 12 + -34. Let t = w + 22.00000021. Round t to seven dps. 0.0000002 Let b = -1.300226 + 1.3. What is b rounded to 4 decimal places? -0.0002 Let a(b) = -798*b**3 - 3*b**2 - 10*b + 4. Let c be a(-10). Let r be (-35132)/16 - 2/8. Let f = c - r. What is f rounded to the nearest 100000? 800000 Let j = 8 + -0.2. What is j rounded to zero decimal places? 8 Let s be 4/(-14) - (-4)/14. Suppose 5*p = 5*x - x - 80, 2*x - p - 40 = s. Suppose -6 = 2*j - x. Round j to the nearest ten. 10 Let s = 1.331 - -0.179. What is s rounded to one decimal place? 1.5 Let r = 9 - 8. Let x be 3 - (-4 + r)/(-3). Let c be (-1 - -101)/(x/(-134)). Round c to the nearest one thousand. -7000 Let y = 0.09999575 - 0.1. Round y to 7 dps. -0.0000043 Let u = 278 + -180. Round u to the nearest ten. 100 Let u(t) = t**2 + 10*t + 12. Let p be u(-9). Suppose -p*g + 33 = 117. What is g rounded to the nearest ten? -30 Let b = -49 - -44.6. Let i = -8.4 + 7. Let d = b + i. What is d rounded to zero dps? -6 Let d = 4 + -2.8. What is d rounded to 1 dp? 1.2 Let s = -12.83 + 13.5. Round s to one decimal place. 0.7 Let m = -0.02 + 0.01. Let i = m + -17.99. Let z = i + 18.00000038. What is z rounded to 7 decimal places? 0.0000004 Let c(a) = -23*a**2 + 21*a - 21. Let u(r) = -34*r**2 + 31*r - 32. Let n(w) = 8*c(w) - 5*u(w). Let x be n(8). Round x to the nearest 1000. -1000 Let u be 386/6*(665 + -2). Let s = -23653 + u. Round s to the nearest ten thousand. 20000 Suppose 4*l - 24 = -0*l. Suppose -5*v + 63 = -62. Let s be (v*-2)/(l/(-60)). What is s rounded to the nearest 1000? 1000 Let f = -1 + 1. Suppose f*g + 120000 = 4*g. Let w be (1600/3)/((-5)/g). What is w rounded to the nearest 1000000? -3000000 Let f(v) = -23003*v + 3. Let z(x) = 69008*x - 8. Let m(d) = -11*f(d) - 4*z(d). Let i be m(1). What is i rounded to the nearest 10000? -20000 Let n = 4900.0945 - 4898. Let m = n - 2.1. What is m rounded to 3 dps? -0.006 Let n(w) = 330000*w**3 + w**2 - w. Let h be (-1)/(2/6*-1). Suppose -b + h = 2*b. Let q be n(b). What is q
{ "pile_set_name": "DM Mathematics" }
se -26*j + 563 = 17. Suppose 3*x - 5*l - 16 = 21, -29 = -x + 5*l. Suppose x*f - 3*f = 84. What is the highest common factor of j and f? 21 Suppose 443 = 4*o - 1529. Suppose 3*h - o - 119 = 0. Calculate the greatest common divisor of h and 136. 68 Let m = -13352 + 13412. Calculate the highest common divisor of m and 10040. 20 Suppose -572 = -4*b + 2*x, 0 = -b + 3*x + 147 - 9. Calculate the highest common divisor of b and 272. 16 Let z(p) = p**3 - 4*p**2 - p - 333. Let s be z(19). Calculate the greatest common divisor of 183 and s. 61 Let x = -213 - -218. Suppose x*c - 7 = -y, 4*y - y = 2*c + 4. Suppose 2*p = -p + 33. What is the greatest common factor of c and p? 1 Let d = -2483 - -1706. Let r be (1*-1)/(0 + 7/d). Let n = -47 + r. What is the greatest common divisor of 16 and n? 16 Suppose 747*t = 753*t + 156. Let o be (-8 + -6)/(-7) + t/(-1). Calculate the highest common divisor of 98 and o. 14 Let m be (-3 - -27035) + (-40)/(-72)*-9. What is the highest common factor of m and 231? 231 Let l = 465 - 451. Suppose -5*d + 17 = 2*x, 2*d = 5*x - 7*x + l. What is the highest common factor of 14 and x? 2 Suppose -4*t - 1944 = -4*m, -7*t = 5*m - 11*t - 2434. Let c = -430 + m. Calculate the greatest common factor of 264 and c. 12 Suppose -f = -2, r - 3*f + 17 = 65. Calculate the greatest common factor of 126 and r. 18 Let q(k) = -22*k + 10. Let a be q(-5). Suppose -3*h + 11 = -0*r + r, 3*r + h = 25. Suppose a = 23*u - r*u. Calculate the highest common factor of u and 104. 8 Let h = -280 + 293. Let m = 286 - 91. What is the highest common factor of h and m? 13 Suppose 4*c = 1056 + 232. Let y = 630 - c. What is the highest common factor of y and 28? 28 Let f = 1200 + -1128. Let d = -371 + 1739. Calculate the highest common factor of f and d. 72 Let l(b) = b**3 - 2*b**2 + 13*b - 103. Let p be l(6). What is the highest common factor of p and 153? 17 Suppose t + 3*t - 112 = -4*o, -2*o + 29 = t. Let g be 6*3/24*28 - -6. Calculate the greatest common factor of g and t. 27 Let i = 7 - 15. Let n be (-2)/i - 837/(-12). Suppose -4*s - s = v + 8, 0 = 5*v + 3*s - n. What is the highest common factor of v and 187? 17 Suppose 0 = -4*a + 4*a + 5*a. Suppose -11*x = -a*x - 440. What is the highest common divisor of x and 8? 8 Let o = -52 - -93. Let c = o - -102. Calculate the highest common divisor of 13 and c. 13 Suppose 33*r = 9344 + 67216. Calculate the greatest common divisor of r and 16. 16 Let f be (-2269 + 2273)*(0 + (-27)/(-4)). Suppose -4*r = l - 3128, -2*r + 2*l + 1550 = 6*l. Calculate the greatest common factor of r and f. 27 Let n(y) = -y**2 + 8*y + 22. Let u = 77 + -67. Let g be n(u). Let c be 1/(18/(-10) + g). Calculate the greatest common divisor of c and 20. 5 Let h = 2 - -2. Let l be (h/(-8))/(3/(-24)). Suppose -4*o = 3*z - 50, -3*o - l*z + 63 = 2*o. What is the greatest common divisor of o and 121? 11 Let n(t) = 3*t**2 + 2*t - 3. Let p be n(2). Let y = -177 - -173. Let v be 13/(-4)*y/1. What is the highest common divisor of p and v? 13 Let s = -45 - -54. Suppose 11*q - s*q = 14. Suppose -152 = -u - q*u. What is the greatest common divisor of u and 133? 19 Let s = -6 - -11. Suppose 0 = 3*g - m - 52, 2*g + 53 = s*g - 2*m. Calculate the highest common factor of 221 and g. 17 Suppose 145*n = -197 + 1212. What is the greatest common factor of n and 119? 7 Suppose 1166*f - 1088*f - 36270 = 0. What is the highest common factor of 372 and f? 93 Let m = -489 - -549. Calculate the highest common divisor of m and 270. 30 Suppose -8*v + 12 = -6*v. Suppose -328 = -4*f - 4*x, 3*x = v*f - 8*f + 168. Calculate the highest common factor of 52 and f. 26 Let u = 2662 + -2647. What is the highest common divisor of 4335 and u? 15 Let y = -632 - -632. Let z be y - (-9)/(-6)*-118. What is the highest common factor of 295 and z? 59 Let v(k) = k**3 - 38*k**2 + 188*k + 143. Let g be v(32). Let x = 21 + 4. What is the highest common divisor of x and g? 5 Let z be (-2)/8 - (-58)/8. Let k be -28*70/20*134/(-28). What is the greatest common factor of z and k? 7 Let x = 400 - -836. What is the greatest common divisor of 24 and x? 12 Let v be 9 - (4 - -4 - 4). Suppose r = v*a + 312, 5*a - 2*a = -r + 344. What is the highest common divisor of r and 83? 83 Let d be (-1145547)/(-234) + (-10)/(-4). What is the greatest common divisor of 186 and d? 62 Let u = 1262 + -786. Let m be 31/248 + 7437/536. What is the highest common factor of m and u? 14 Let u = -6 - -8. Let s(z) = -8*z + 2*z + 3*z + 0*z - 2 - 4*z**2 + 18*z**2. Let k be s(u). Calculate the greatest common divisor of k and 80. 16 Suppose 13 = p - 1709. Let r = p - 1226. Calculate the greatest common factor of r and 16. 16 Suppose -61*v - 432 = -115*v. What is the highest common divisor of 2648 and v? 8 Suppose 5*x = a + 195, -2*x - 31*a + 27*a + 78 = 0. What is the highest common divisor of x and 533? 13 Suppose 0 = 173*n - 6*n - 723426 - 381446. Calculate the highest common divisor of n and 24. 8 Let v = -9130 - -9770. Calculate the greatest common factor of 4960 and v. 160 Let o = -129 + 195. Let w be (175/(-105))/(5/(-36)). Let p be (-3 + 212/w)/(1/3). Calculate the greatest common factor of p and o. 22 Let z = 222 + -219. Suppose 47 - 5 = z*r. What is the highest common divisor of r and 98? 14 Let m = -353 - -358. Suppose 0 = z - m*z + 5488. What is the greatest common factor of z and 28? 28 Let z = 860 + 2816. Calculate the highest common divisor of 12 and z. 4 Let l = -178 - -183. Let j be (6/15 - 1)*l + 58. Calculate the highest common factor of 11 and j. 11 Let b(f) = f**3 - 4*f**2 - f - 2. Let i be b(6). Let o be 2 - -1 - i/2. Let l be (-6 - o)/(2/22). Calculate the greatest common divisor of 23 and l. 23 Let q(j) be the second derivative of -j**5/20 - 11*j**4/12 - 2*j**3/3 - 11*j**2 + 7*j + 2. Let o be q(-11). What is the highest common factor of o and 462? 22 Suppose -37 - 315 = -4*g. Suppose 98 = 2*q - m + 35, q = 5*m + 18. Calculate the highest common divisor of g and q. 11 Let c = 20653 - 20547. Calculate the greatest common divisor of 10547 and c. 53 Let c = -4531 - -4684. Calculate the greatest common factor of c and 189. 9 Let f(v) = v**3 + 16*v**2 - 14*v + 76. Let p be f(-16). Calculate the greatest common divisor of 400 and p. 100 Let u be 99 + -37 + (2 - (-3 - -4)). Calculate the greatest common divisor of u and 279. 9 Suppose 117*y - 641 - 1342 = 357. Suppose 10 + 6 = i. Suppose -i - 4 = -2*a. What is the greatest common divisor of y and a? 10 Suppose -4*s - 365 = u - 1683, -5*u - 1660 = -5*s. Calculate the greatest common divisor of 4125 and s. 165 Let i(l) = -178*l + 2374. Let h be i(-23). What is the greatest common factor of h and 168? 84 Suppose -19*j + 5*j + 224 = 0. Let y be (-34)/51 + 49/(-3). Let d = y - -57. What is the greatest common factor of j and d? 8 Suppose -45*z + 3*q = -43*z - 753, 4*q - 1516 = -4*z. What is the highest common factor of z and 238? 14 Let g(q) = q**2 - 4*q + 0*q - 4*q - 8 + 6*q. Let d be g(6). Calculate the greatest common divisor of 144 and d. 16 Suppose -114497 + 857316 = 77*k. What is the highest common divisor of 33 and k? 11 Let d be (-7446)/(-146) + 256/(-8). Let m be 431 - -5 - (0 - 1). Calculate the greatest common factor of m and d. 19 Let w = -3887 + 4025. Calculate the greatest common divisor of w and 736. 46 Suppose -31*d + 87 = i - 33*d, 2*d = -5*i + 471. Suppose -5*v + 8*v = -2*r + 67, 0 = 4*v - r - i. What is the highest common divisor of 161 and v? 23 Let p be ((-12)/(-9))/(8490/(-945) + 9). Calculate the highest common factor of 420 and p. 84 Let s be (-6)/(-15) - (-756)/135. Suppose -5 = -4*b + 5*l, 10*b - 7*b - s = 3*l. What is the highest common divisor of 90 and b? 5 Suppose 4*p + 2*g + 134 = g, -3*p + 2*g - 106 = 0. Let w be -14*((-4)/34 + 47/p). Let o = 208 + -61. What is the greatest common factor of o and w? 21 Let d(i) = -90*i + 212. Let j be d(-8). Calculate the greatest common divisor of 5825 and j. 233 Suppose -22*y = -29*y - 3591. Let v = 823 + y. What is the highest common divisor of 10 and v? 10 Suppose -20 = 5*a + 4*i - 42, -4*a = 5*i - 23. Calculate the highest common divisor of a and 94. 2 Suppose -336 = 3*q - 10*q. Suppose -5*f = -0*k - k - 66, 2*f = -5*k + q. What is the highest common factor of 4 and f? 2 Let t = 8041 + -7766. What
{ "pile_set_name": "DM Mathematics" }
teger? 50 What is 589029333 to the power of 1/5, to the nearest integer? 57 What is 1403950624 to the power of 1/10, to the nearest integer? 8 What is the third root of 486305241 to the nearest integer? 786 What is the cube root of 46535175 to the nearest integer? 360 What is 183764415 to the power of 1/8, to the nearest integer? 11 What is the third root of 116750321 to the nearest integer? 489 What is 4402906669 to the power of 1/3, to the nearest integer? 1639 What is the square root of 6489283829 to the nearest integer? 80556 What is the square root of 22962552 to the nearest integer? 4792 What is the sixth root of 71699699 to the nearest integer? 20 What is 974474194 to the power of 1/2, to the nearest integer? 31217 What is 74474993 to the power of 1/7, to the nearest integer? 13 What is the third root of 3302861765 to the nearest integer? 1489 What is 128660681 to the power of 1/10, to the nearest integer? 6 What is the square root of 20076154 to the nearest integer? 4481 What is the ninth root of 932190366 to the nearest integer? 10 What is 97028671 to the power of 1/3, to the nearest integer? 460 What is the cube root of 84901351 to the nearest integer? 440 What is the third root of 54391868 to the nearest integer? 379 What is the third root of 32599545 to the nearest integer? 319 What is the third root of 672796 to the nearest integer? 88 What is the third root of 263685995 to the nearest integer? 641 What is 4048156083 to the power of 1/2, to the nearest integer? 63625 What is the ninth root of 4059455561 to the nearest integer? 12 What is the sixth root of 38000719 to the nearest integer? 18 What is the third root of 306744146 to the nearest integer? 674 What is the tenth root of 93822621 to the nearest integer? 6 What is 346500467 to the power of 1/4, to the nearest integer? 136 What is 464670248 to the power of 1/8, to the nearest integer? 12 What is the fifth root of 28057013 to the nearest integer? 31 What is 1345719563 to the power of 1/2, to the nearest integer? 36684 What is the ninth root of 12466572 to the nearest integer? 6 What is 65609900 to the power of 1/2, to the nearest integer? 8100 What is 2738971561 to the power of 1/6, to the nearest integer? 37 What is the cube root of 32296285 to the nearest integer? 318 What is the square root of 1320746102 to the nearest integer? 36342 What is 1502329425 to the power of 1/5, to the nearest integer? 68 What is 366643789 to the power of 1/10, to the nearest integer? 7 What is the square root of 1145653587 to the nearest integer? 33848 What is 2383883714 to the power of 1/3, to the nearest integer? 1336 What is the fifth root of 3770836933 to the nearest integer? 82 What is 139401195 to the power of 1/2, to the nearest integer? 11807 What is 267273306 to the power of 1/3, to the nearest integer? 644 What is the fifth root of 2565371557 to the nearest integer? 76 What is 47171254 to the power of 1/8, to the nearest integer? 9 What is the cube root of 81039012 to the nearest integer? 433 What is the third root of 949746540 to the nearest integer? 983 What is 46780391 to the power of 1/3, to the nearest integer? 360 What is the third root of 7787001 to the nearest integer? 198 What is 141899170 to the power of 1/7, to the nearest integer? 15 What is 18828638 to the power of 1/3, to the nearest integer? 266 What is 78509363 to the power of 1/2, to the nearest integer? 8861 What is 48861199 to the power of 1/9, to the nearest integer? 7 What is the fifth root of 175363410 to the nearest integer? 45 What is the seventh root of 352603605 to the nearest integer? 17 What is the third root of 1652191930 to the nearest integer? 1182 What is the cube root of 638480141 to the nearest integer? 861 What is 2671040965 to the power of 1/2, to the nearest integer? 51682 What is 3212689665 to the power of 1/4, to the nearest integer? 238 What is 576633667 to the power of 1/2, to the nearest integer? 24013 What is 593888424 to the power of 1/6, to the nearest integer? 29 What is 509998719 to the power of 1/9, to the nearest integer? 9 What is the tenth root of 87834660 to the nearest integer? 6 What is the cube root of 413134959 to the nearest integer? 745 What is the square root of 819324835 to the nearest integer? 28624 What is 488482763 to the power of 1/7, to the nearest integer? 17 What is the sixth root of 146344604 to the nearest integer? 23 What is the third root of 63497635 to the nearest integer? 399 What is 823042033 to the power of 1/7, to the nearest integer? 19 What is the seventh root of 17835493 to the nearest integer? 11 What is 2018412019 to the power of 1/3, to the nearest integer? 1264 What is the square root of 26110790 to the nearest integer? 5110 What is the cube root of 94111799 to the nearest integer? 455 What is the third root of 69565727 to the nearest integer? 411 What is the square root of 2679927459 to the nearest integer? 51768 What is 110318341 to the power of 1/5, to the nearest integer? 41 What is 651881836 to the power of 1/3, to the nearest integer? 867 What is the third root of 1142746071 to the nearest integer? 1045 What is the fourth root of 4006377692 to the nearest integer? 252 What is 1621327883 to the power of 1/6, to the nearest integer? 34 What is the ninth root of 16796003 to the nearest integer? 6 What is 804671194 to the power of 1/3, to the nearest integer? 930 What is the square root of 100296071 to the nearest integer? 10015 What is 56082388 to the power of 1/4, to the nearest integer? 87 What is the third root of 177568359 to the nearest integer? 562 What is the ninth root of 32096124 to the nearest integer? 7 What is the seventh root of 536528160 to the nearest integer? 18 What is the third root of 134333986 to the nearest integer? 512 What is the third root of 249641220 to the nearest integer? 630 What is 127573498 to the power of 1/7, to the nearest integer? 14 What is the third root of 1280507875 to the nearest integer? 1086 What is the square root of 86545615 to the nearest integer? 9303 What is the fifth root of 50986279 to the nearest integer? 35 What is the third root of 1907094971 to the nearest integer? 1240 What is the third root of 316470000 to the nearest integer? 681 What is the cube root of 77814972 to the nearest integer? 427 What is 71087808 to the power of 1/4, to the nearest integer? 92 What is the tenth root of 98733245 to the nearest integer? 6 What is the third root of 2196677307 to the nearest integer? 1300 What is 220004159 to the power of 1/3, to the nearest integer? 604 What is the cube root of 89566703 to the nearest integer? 447 What is the square root of 3335111 to the nearest integer? 1826 What is the cube root of 24474212 to the nearest integer? 290 What is the tenth root of 51702543 to the nearest integer? 6 What is the square root of 39458697 to the nearest integer? 6282 What is 170064842 to the power of 1/10, to the nearest integer? 7 What is 128272653 to the power of 1/3, to the nearest integer? 504 What is the third root of 739470316 to the nearest integer? 904 What is 1453675864 to the power of 1/2, to the nearest integer? 38127 What is 187531777 to the power of 1/3, to the nearest integer? 572 What is 30262154 to the power of 1/2, to the nearest integer? 5501 What is 9946249 to the power of 1/4, to the nearest integer? 56 What is the square root of 9773235 to the nearest integer? 3126 What is the sixth root of 333149784 to the nearest integer? 26 What is the square root of 1623011999 to the nearest integer? 40287 What is the fourth root of 7251360754 to the nearest integer? 292 What is 405186460 to the power of 1/4, to the nearest integer? 142 What is 50523860 to the power of 1/3, to the nearest integer? 370 What is the cube root of 414456000 to the nearest integer? 746 What is the square root of 136701226 to the nearest integer? 11692 What is the cube root of 390932509 to the nearest integer? 731 What is the third root of 4763625656 to the nearest integer? 1683 What is the square root of 31685784 to the nearest integer? 5629 What is the cube root of 316073285 to the nearest integer? 681 What is the cube root of 540029701 to the nearest integer? 814 What is the square root of 542148767 to the nearest int
{ "pile_set_name": "DM Mathematics" }
) + -6). Suppose 0*m - 3273 = -3*l + 4*m, -k*l = -m - 3264. Is l a prime number? True Suppose 732050 + 609061 = 32*h + 70487. Is h prime? False Let s be 5 + (-2)/4*0. Suppose 3*k = -4*n + 20, 4*k + 0*k + n - s = 0. Suppose 4*z - 728 + 132 = k. Is z a composite number? False Let n = 2423 - -5138. Is n a composite number? False Let a(r) = -r + 8. Let k be a(-5). Let u = -6 - k. Let q(w) = -63*w + 10. Is q(u) a composite number? True Suppose -7*u + 11*u - 920 = 0. Suppose -c + 2353 = u. Is c a prime number? False Is (-3 - (-121)/44)*-390956 a prime number? False Is (-1)/(2956976/(-295696) + 10) composite? False Let n(s) = s**3 - 5*s + 6. Let u be n(0). Let h(j) = 477*j**2 - 36*j + 255. Is h(u) composite? True Let a(i) = i**3 + 20*i**2 - 5*i + 49. Let r(t) = 32*t + 6. Let g be r(2). Let l = -90 + g. Is a(l) prime? True Let o be (-46 + 48)/((-1)/(-3)*2). Suppose 2847 = -o*u - 4359. Let p = u - -4393. Is p a composite number? True Is (11*-1)/((-128)/2602624) a prime number? False Let o(n) be the third derivative of -349*n**4/6 + 173*n**3/6 + 226*n**2. Is o(-15) prime? False Let q(p) = -52*p - 49 - 54 - 55*p - 7. Is q(-17) prime? True Let z = 980 - -5001. Is z prime? True Is 4683410/80 - -10 - (1 + 11/(-8)) composite? True Let f(z) = z**3 + 18*z**2 - 3*z - 54. Let p be f(-18). Is p - 1 - (-5420)/10 composite? False Suppose 0 = 4*s + 11420 + 11072. Let w = s - -11154. Is w composite? False Let x(l) = -l**3 - 21*l**2 - 40*l - 31. Suppose -18*f + 13*f - 105 = 0. Is x(f) a composite number? False Let b = 1095 + -257. Is b/((-63)/147 - (-34)/14) a prime number? True Let j(a) = -2*a**3 + 2*a**2 + 9*a + 9. Let i(b) = b**3 - 4*b - 4. Let d(k) = 5*i(k) + 3*j(k). Suppose 0 = 3*m + 10 - 31. Is d(m) composite? False Let c = 141 - 143. Is (c*(-463)/(-4))/((-2)/12) prime? False Is (-87751202)/(-98) - 11/77*-4 prime? True Suppose 2586067 = 35*w + 609951 - 1307199. Is w prime? True Suppose -8*y + 11*y - r - 11 = 0, 2*r = -10. Is 673275/50 + (-1)/y prime? False Let d be (-23)/(-5) + 16/40. Suppose 2*y = -2*o + 2508, 20 = d*y - y. Let s = -572 + o. Is s a prime number? True Suppose 0 = 2*j - 2*i + 2, -3*j - 4*i = 7 - 18. Is 787 + (8 + -4)*j a prime number? False Let a(j) = -234 + 15*j**2 + 234 - 25*j. Let k be a(8). Let p = k - 441. Is p a composite number? True Let d be (342/(-27))/((-2)/6). Let t = 42 - d. Suppose 230 = 6*o - t*o. Is o a composite number? True Let w = -2544269 - -5085456. Is w a prime number? False Let g(t) = 534*t**2 - 1. Let i(k) = -534*k**2 + k + 1. Let l(b) = 2*g(b) + 3*i(b). Let j be l(-1). Let f = -243 - j. Is f a composite number? False Let x(l) = 7*l**3 - l**2 - l + 1. Let h be x(2). Suppose -3*f + 2*v = -204, 5*f - v = 296 + h. Let r = 92 - f. Is r prime? False Suppose 0 = 23*v - 25*v - 5*i + 94, -2*i = 2*v - 106. Suppose v*a - 4911 = 54*a. Is a a composite number? False Suppose -194*a = 14945 - 406366 - 928361. Is a a composite number? False Is (-4473462)/(-22) + 54/66 + -1 composite? False Let o(m) = 132927*m**2 - 165*m - 161. Is o(-1) a prime number? False Let z be 5426 - (1 - (4 + -1)). Suppose -15*q - 72 = -39*q. Suppose 7*w - 2*w = -3*b + z, q*w - 15 = 0. Is b composite? False Suppose -5*u + 249 + 324 = -3*f, -2*f = -4*u + 458. Is (-4861)/(u/(-18) - -6) a prime number? False Let m = 5 + -1. Let y(r) = 45*r - 4. Let d be y(m). Is 1*d*4 + -3 composite? False Is -7 - (-176)/28 - (-835374)/21 a composite number? False Let q(c) = 3577*c**2 - 44*c - 72. Is q(-11) a composite number? False Suppose 3*m + i = 13297, 8863 = 2*m + i - 2*i. Let z = 10234 - m. Is (-2 - (-40)/15)*z/4 a prime number? True Suppose -4*q = 4*f - 64, 4*f - 12 = 3*f + 3*q. Suppose 915 + 1080 = f*y. Is y composite? True Suppose -43*q = 932 + 14. Let i(w) = -w**2 - 27*w + 93. Is i(q) composite? True Suppose 2*y + 0*y - 4 = 0. Let m(l) = 41*l + 494. Let s be m(-12). Suppose -2*r = 5*h - 280 - 279, s*h = y*r + 218. Is h a composite number? True Suppose 5*d - 12055 = 5*s, -3*s + 2429 = -4*s - 5*d. Let v be 1/((-776)/192 + 4). Is s/(-8) - (-18)/v a composite number? True Let b be ((-4)/10)/(1/(-5)) + 3. Let v be 12*b/((-30)/3). Is v/(-4) + (-35955)/(-34) a prime number? False Suppose 0*a = -6*a + 2*a. Suppose a = 6*u - 14*u + 16952. Is u prime? False Let c(p) = 70405*p - 2236. Is c(3) a composite number? True Let g = 251 + -246. Suppose -2*f - 10259 = -g*v, 8*v - 12*v + 3*f + 8203 = 0. Is v composite? False Let i = 486435 - 213004. Is i composite? True Let p(y) be the third derivative of 4*y**5/15 + 13*y**4/24 + 13*y**3/3 - 62*y**2. Is p(-7) prime? True Suppose 30839 = -3*o + 117182. Suppose -5*y = 3*r - o, 5765 = y + 4*r + r. Is y prime? False Is 872268/78 - 9/(-117) prime? False Suppose -40*f + 43*f = -y + 939689, 4*f + 4*y - 1252908 = 0. Is f a composite number? True Let l = -526 + 518. Is 3207*l/(-6 - 18) a composite number? False Let c be (-10099)/(8 + -4 + 5/(-1)). Suppose 172804 = 15*h + c. Is h composite? False Suppose 894*p = 846*p + 2272224. Is p composite? True Suppose -4*q + 151 = 3. Let o = q + -37. Let r(n) = -n**3 + 3*n**2 + 2*n + 591. Is r(o) composite? True Suppose 0 = 3*w - 131 - 10. Let j(i) = 51 - w + 20 + 55 - i. Is j(0) a prime number? True Suppose -c = -5*y - 131556, 55538 = -2*c + 5*y + 318655. Is c composite? False Suppose -1997099 = 328*q - 341*q. Is q composite? False Let f(v) = 651*v + 19. Let r be f(5). Let n(s) = -28*s**3 - 8*s**2 + 2*s + 1. Let z be n(4). Let t = z + r. Is t composite? True Let w = 1019330 + -598401. Is w prime? True Let s = -754 + 30101. Is s a composite number? False Suppose 51*k + 20039 = 52*k. Let b = 29272 - k. Is b a composite number? True Suppose 0 = -3*p + 569 + 3166. Suppose -31*r - p = -34*r. Is r prime? False Let p be (-40)/(-6)*((-30)/4)/5. Let w(c) = -237*c - 91. Is w(p) composite? True Is 6/(-11) - ((-12287067)/143 + -26) prime? False Suppose -319*t + 317*t = -3*m - 256966, 3*t - 5*m - 385451 = 0. Is t a prime number? True Let d be 6/(-4)*(6 + 9 + -13). Is -3199*(d + -3 - -5) a composite number? True Suppose -5*w - 3*r = 2*r - 1935, 3*w - 1201 = 5*r. Suppose 397*f - w*f - 18965 = 0. Is f a composite number? False Let c(p) = -40*p - 14. Let m be c(-1). Let k(g) = 2*g**2 + 40*g - 31. Is k(m) a prime number? False Let a = -16 + 14. Let p be ((-56)/(-21))/(a/(-33)). Suppose 412 = p*r - 40*r. Is r composite? False Let f = 11556 + 3989. Is f a composite number? True Suppose 4*d - 28 - 9 = -5*z, -5*d - 4*z + 35 = 0. Is (-2402)/(-6)*3*(5 - d) prime? False Let v = 147398 + -50352. Is v a composite number? True Is -5 + 18/21 + (7863411/21 - 3) a prime number? True Let o = 30 - 25. Let r(u) = u**2 - 20. Let m be r(o). Suppose -3*i + 2*i - 4001 = -3*q, 0 = 3*q + m*i - 3989. Is q composite? True Suppose 3*z = -37 + 115. Suppose 4194 = z*m - 24*m. Let s = m + -1220. Is s composite? False Is ((-885806)/(-9))/(-26 + (-6136)/(-234)) a prime number? True Let y be (5/4)/(-5) - 15284/(-16). Let w = 416 + y. Is w prime? False Let m(k) = -592*k**2 + 2 + 52*k + 593*k**2 - 18. Is m(31) a composite number? False Suppose l - 9 = -0*l. Suppose -l*z - z = -30. Suppose 89 = -2*r + z*r. Is r a prime number? True Suppose -89*m = -92*m - 5*z + 46, 81 = 5*m + 4*z. Is 51/m + 1663*8 a prime number? False Is -21866*(-207)/161 + (-4)/(-7) a prime number? False Suppose -100*d + 63115612 = -4669888. Is d a prime number? False Let f(t) = t**3 - t**2 + 16*t - 57. Let u(x) = -3*x**3 + 3*x**2 - 32*x + 112. Let h(n) = 5*f(n) + 2*u(n). Is h(-15) a prime number? True Is -1*(9/(0 + 9) - 107600) a composite number? False Let n = -5066 - -33098. Suppose 5*r - n = -7*r. Suppose -4*m + 5*m + 2*f = 579, 4*m - r = -3*f. Is m a prime number? True Suppose 5*n + 754 = 2*x + 6095, 0 = n + x - 1071. Is n composite? False Suppose 0 = 8*b + 10*b - 30240. Let o = b + -319. Is o a prime number? True Suppose -13*u + 7*u = -3558. Suppose 5*b - 4*j - 379 = u, 591 = 3*b - 5*j. Suppose 28 = -2*p + b. Is p a composite number? True Let j(n) = 4*n**2 + 4*n**3 - 2 + 4 + 2*n**2 - 3*n**3 - 2*n. Let y be j(-5). Is ((-22)/5)/(2/(-5))*y composite? True Is 36/(-45)*-1 + 28/(-10) + 35731 a prime number? True Suppose -2*f = -1223 + 351. Let w be (f/(-6))/(20/(-1530)). Let l = w + -946. Is l composite? True Let g(s) = 30*s**3 + 45*s**2 - 8*s + 22. Is g(18) a composite number? True Suppose
{ "pile_set_name": "DM Mathematics" }
composite number? False Let i(f) be the first derivative of 49*f**4 - f**2/2 + 4*f - 43. Let g be i(2). Suppose 0 = -2*d + 5516 - g. Is d prime? True Suppose -4*l = -11*n + 14*n - 267033, 5*n = -l + 445021. Is n a prime number? True Let s(j) be the third derivative of j**6/120 - j**5/30 + j**4/8 + 9*j**3/2 + j**2. Suppose 1338*a = 1300*a + 198 + 220. Is s(a) prime? False Suppose -1843 = 55*l - 54*l. Let u = l + 8912. Is u a prime number? True Suppose 0 = 47*g - 48*g + 6. Is 2*g/(-8)*(-50240)/96 composite? True Let n(t) = -3*t**2 + 4*t + 2. Let o be n(2). Let h(f) = 4267*f**2 + 4*f - 1. Is h(o) a prime number? False Let u(s) be the third derivative of 11*s**5/20 - 5*s**4/8 - 5*s**3/6 - 817*s**2. Suppose -10 - 8 = 3*q. Is u(q) prime? False Is (565/(-4))/(58/(-232)) composite? True Let z = -12 + 10. Let b be z*1 - (-44)/11. Suppose 476 = b*j - 342. Is j a prime number? True Let p = -42 + 46. Suppose -2*x = -p*c - 1312, -640 = -x - 0*x - 2*c. Suppose x = 4*k - 2*r - 2*r, 0 = 5*k + 3*r - 818. Is k prime? True Let m(n) = 14*n**2 + 42*n + 239. Is m(34) prime? True Suppose -5*m - c + 3 = -3*m, 5*m - c - 25 = 0. Suppose r + 2*d - 15 = -d, 84 = m*r + 4*d. Is (-3 + (-1887)/r*2)*-4 a prime number? True Let k(b) = -2*b**2 - b + 4. Let y be k(3). Suppose -1527*h - 13 = -1537*h - 3. Is (y/(-2))/(h/46) prime? False Suppose 5*g + 15 = 4*u, 3 = -4*u - 2*g + g. Suppose u = -3*v + 8*v - 4945. Is v composite? True Suppose -2*k - g = -147872, -2*k + 4*k + 5*g - 147848 = 0. Is k a prime number? True Suppose 14*x = 9*x + 23185. Let r = 6722 + x. Is r composite? True Suppose 1268*z = 1253*z + 10235355. Is z a composite number? True Let y(f) = 3323*f**2 - 5*f - 5. Is y(-1) a composite number? False Suppose 10106944 = -334*i + 35870702. Is i prime? True Let z(i) = i**3 + 36*i**2 + 37*i + 106. Let f be z(-35). Is 38993 + (-30)/(f/6) + -1 composite? True Let x = 1173 - -1108. Is x a composite number? False Let f(j) = 52942*j + 3463. Is f(12) a composite number? False Suppose -5*v = -3*v - 2244. Suppose 0 = 3*y - 29 - 688. Let d = v + y. Is d a prime number? True Let v(x) = -7*x + 63. Let a(c) = -c + 1. Let u(p) = -4*a(p) + v(p). Let f be ((-65)/39)/(1/6). Is u(f) a composite number? False Let g be 111000/5 - 1 - 1. Suppose -5650 = 12*t - g. Is t a composite number? True Let l(d) = -63268*d + 297. Is l(-2) composite? True Suppose 1925 = 3*f - 2*y, -15*f + 19*f - 2563 = -y. Is (4 + (-30)/6)*-11*f composite? True Is 2/(-10) + 52/10 - (-2443 + 55) a prime number? True Let q = -39535 + 779453. Is q a composite number? True Let p(m) = 5*m**2 - 116*m - 163. Is p(-50) a composite number? True Is (13/((-208)/(-136)))/(1/10822) + -6 a composite number? True Let w(q) = 29*q**3 - 12*q**2 + 31*q - 59. Is w(9) composite? False Let y be 277*(-7 - 48/(-6)). Suppose 0 = 8*f - y - 19. Is f a composite number? False Let j be (2 + -1 - -2 - -1) + -74. Let n = 376 - j. Is n composite? True Let d = 3947 + -3950. Let p = 4485 - 2815. Is d - (-7)/(35/p) a prime number? True Suppose 12*j = -13*j + 468100. Suppose -j - 37233 = -11*u. Is u a composite number? False Is (178008/(-60))/((-3)/(-30))*(-2)/8 a composite number? False Is 120603 + (11 - -9) + 20 composite? True Let s(v) = -v + 12. Let b be s(10). Is 1732 + ((-8)/16)/((-1)/b) a prime number? True Let n(l) = 2*l + 30. Let t be 7*-1 + (17 - 19). Let m be n(t). Is ((-6)/9)/(m/(-14526)) prime? False Let i = 9131971 + -6462686. Is i prime? False Let y(k) = k + 3. Let d be y(8). Let z = d + -14. Is (((-1650)/9)/5)/(2/z) prime? False Suppose -k - 3*g + 1900 - 573 = 0, -4*g = k - 1325. Let m = k + -110. Let b = -352 + m. Is b a composite number? True Suppose 215*s = 242*s - 1040661. Is s composite? False Suppose n + 24 = 11. Let t = n + 118. Let v = 160 + t. Is v prime? False Let d be 3398617/141 - ((-4)/3 - 0). Let w = d + -9916. Is w a composite number? True Let o(x) = 1409*x - 2037. Is o(20) composite? True Suppose 105 = 10*m - 9*m. Suppose -2*i - 2*g = -0*g - 78, 0 = -3*i + g + m. Let r = 181 - i. Is r a prime number? False Let b = 3657388 + -2424861. Is b a composite number? False Let p = -388412 - -1387171. Is p a prime number? True Let z(q) = -92639*q - 2351. Is z(-12) a prime number? False Let u = -4032 - -8386. Let t = -2733 + u. Is t a prime number? True Let m(g) = 43*g**2 + 118*g - 907. Is m(40) a prime number? True Let o be (-297)/12 + 1*(-4)/16. Let r = o - -29. Suppose -r*u = -l - 9*u + 2353, -5*l - 4*u + 11681 = 0. Is l prime? True Let z be 18/6*2/6. Let a(j) be the first derivative of 231*j**3 - 3*j**2/2 + j - 88. Is a(z) a prime number? True Let t = -3628 - -5642. Suppose t = z + 534. Suppose 5*q = 2*c - 571, -5*c = 2*q + 3*q - z. Is c composite? False Let m = -58 + 65. Let n be (39/(-13))/((-3)/m). Suppose 3*r - 7820 = -y, 2*r + 13000 = n*r - 5*y. Is r prime? False Let j(s) = 12862*s**2 + 11*s + 8. Let p(q) = 4287*q**2 + 4*q + 3. Let b(u) = -3*j(u) + 8*p(u). Let a be b(1). Let g = a + 10170. Is g a prime number? True Let t = 2769712 - 1642863. Is t prime? False Is 1/(10428000/(-802155) - -13) a prime number? False Let i(p) = 1806*p**2 + 36*p - 136. Let s be i(7). Suppose s = 218*o - 208*o. Is o composite? False Suppose 8 = -4*s, 2*o = 5*s - 0*s + 18. Let t(w) = o*w + 3 + 7*w**3 + 2*w + w**2 - 14*w. Is t(2) a composite number? False Suppose 0 = -63*y + 26*y + 101713. Is y a prime number? True Let w(l) = -6*l**2 + 17*l + 1. Let j(r) = -7*r**2 + 18*r + 2. Let p(k) = -5*j(k) + 6*w(k). Let z be p(11). Suppose -z*i = -2*i - 1675. Is i a composite number? True Let c(x) be the second derivative of 0 - 25/2*x**2 - 10/3*x**3 + 1/12*x**4 - 2*x. Is c(-8) prime? True Let m be (0 + (1 - 31))/(-1). Suppose 5*k + z = 9565, 1199 = -3*k + 2*z + 6938. Let u = k + m. Is u a composite number? True Let q = 644064 - 78281. Is q a prime number? False Let r(i) = 19*i**2 - 16*i + 9. Let y(c) = 56*c**2 - 43*c + 26. Let k(u) = -11*r(u) + 4*y(u). Suppose 3 = -2*q - 9. Is k(q) composite? False Let j(w) = -5154*w**3 + 2*w**2 + 6*w - 31. Is j(-5) a composite number? False Let k(r) = -2*r**2 - 27*r - 6. Let f be k(-11). Let l = 4 + f. Is l a composite number? False Let r be 21/2 - (-6)/(-4). Let f(c) = 2*c**3 - 10*c**2 - 2*c + 1. Is f(r) a composite number? False Let k(j) = -j**3 + j**2 + 4*j - 1. Let x be k(2). Suppose x*f = -5*o + 2055 + 3701, -25 = 5*o. Is f a prime number? False Let i(g) be the first derivative of 10*g**3/3 + 10*g**2 + 88*g + 62. Is i(-15) a prime number? False Let t = 1159 - 387. Let r = t + 2499. Is r a composite number? False Suppose 10*l + 2*l - 916404 - 1450032 = 0. Is l composite? False Let j(p) = 10*p**2 + 5*p + 1. Let l(d) be the first derivative of -d**4/4 - 5*d**3/3 - 5*d**2/2 - 10*d + 3. Let f be l(-4). Is j(f) a composite number? False Let c(s) = 198*s**2 + 24*s + 43. Is c(19) a composite number? True Let r(k) = 335*k**2 - 30*k + 1131. Is r(22) a composite number? False Let x be (1/3)/(1/21). Suppose -x*p = -5*p - 5266. Is p a composite number? False Let r be 6/(-4)*(-48)/18. Is (-1464775)/(-195) - r/(-3) composite? True Suppose -6*q = -91569 - 791073. Is q a prime number? True Suppose 46203734 = -162*l + 286281092. Is l composite? True Is ((-30)/36)/(-1*9/48470022) composite? True Suppose -94 - 14 = 9*s. Is (-4)/s - (-51129)/27 a prime number? False Let n(g) = 12*g**3 + g**2 - 4*g + 4. Let v(x) = x**2 + 11*x - 7. Let m be v(-12). Let c be n(m). Suppose 5*r + 1285 = 5*f, 5*f + r - c = -242. Is f prime? False Is -3 + 5 + 5 + 231852 a composite number? False Let m = 22254 + -7801. Is m prime? False Let z be (-102)/(-15) - 2/(-10). Let k(x) = -19*x - 5. Let l(d) = d. Let m(c) = -k(c) - l(c). Is m(z) prime? True Suppose 0 = -2*t - 2*k - 20, -3*t = -2*k + 4 + 11. Is (1/(-2))/(t/41972) + 1 composite? False Let l be (60/(-45))/(6/(-9)). Suppose l*g = 18071 + 1103. Is g composite? False Is 1/((-2)/(-160572)*6) composite? False Let i be -1 - (-1 - (0 + -2))*-1. Let h(m) = -3*m**3 - 1 - 4*m**2 + 2*m + i*m**2 + 5*m**2. Is h(-6) a prime number? False Let i(w) = -1 + 8 - 1 + 1137*w + 29. Is i(4) composite? False Let k(n) = 184*n**2 - 186*n - 1765. Is k(-9) a prime number? True Suppose 14*n + 5*n = -19. Is (-22)/(-18) + n - (-50997)/27 a composite number? False Let u be 20 - (5 + 0 + -2). Suppose b - 21 = -u. Suppose -3*s - b*a + 2227 = 0,
{ "pile_set_name": "DM Mathematics" }
by 149. 146 What is the remainder when 1352 is divided by 87? 47 What is the remainder when 11298 is divided by 565? 563 Calculate the remainder when 3019 is divided by 1466. 87 What is the remainder when 18009 is divided by 34? 23 What is the remainder when 100998 is divided by 100927? 71 What is the remainder when 4141 is divided by 140? 81 What is the remainder when 30139 is divided by 43? 39 Calculate the remainder when 267330 is divided by 388. 386 Calculate the remainder when 6578 is divided by 439. 432 What is the remainder when 13919 is divided by 21? 17 What is the remainder when 166665 is divided by 258? 255 What is the remainder when 942407 is divided by 34? 29 Calculate the remainder when 2907 is divided by 85. 17 What is the remainder when 1715 is divided by 518? 161 Calculate the remainder when 179210 is divided by 437. 40 What is the remainder when 127979 is divided by 389? 387 What is the remainder when 8431 is divided by 211? 202 Calculate the remainder when 152243 is divided by 173. 3 What is the remainder when 13224 is divided by 2203? 6 Calculate the remainder when 22807 is divided by 12. 7 What is the remainder when 48909 is divided by 121? 25 What is the remainder when 2542 is divided by 537? 394 Calculate the remainder when 1173 is divided by 583. 7 What is the remainder when 151823 is divided by 75910? 3 What is the remainder when 2459 is divided by 177? 158 What is the remainder when 250704 is divided by 267? 258 Calculate the remainder when 2283971 is divided by 761321. 8 What is the remainder when 202 is divided by 149? 53 Calculate the remainder when 11978 is divided by 82. 6 Calculate the remainder when 20923 is divided by 182. 175 Calculate the remainder when 213679 is divided by 80. 79 Calculate the remainder when 538876 is divided by 4989. 64 What is the remainder when 137983 is divided by 104? 79 What is the remainder when 119644 is divided by 35? 14 What is the remainder when 137296 is divided by 42? 40 Calculate the remainder when 127793 is divided by 40. 33 Calculate the remainder when 86942 is divided by 8. 6 Calculate the remainder when 11984 is divided by 63. 14 Calculate the remainder when 215579 is divided by 989. 966 What is the remainder when 617180 is divided by 205717? 29 What is the remainder when 1363 is divided by 832? 531 What is the remainder when 492196 is divided by 230? 226 What is the remainder when 120778 is divided by 269? 266 What is the remainder when 91544 is divided by 30428? 260 What is the remainder when 974 is divided by 328? 318 Calculate the remainder when 3139 is divided by 225. 214 Calculate the remainder when 9629 is divided by 27. 17 What is the remainder when 57194 is divided by 220? 214 Calculate the remainder when 2251 is divided by 377. 366 What is the remainder when 49064 is divided by 1817? 5 What is the remainder when 29555 is divided by 15? 5 What is the remainder when 8274 is divided by 376? 2 What is the remainder when 879 is divided by 310? 259 What is the remainder when 13383 is divided by 189? 153 Calculate the remainder when 581 is divided by 307. 274 What is the remainder when 7490 is divided by 36? 2 What is the remainder when 2323 is divided by 173? 74 What is the remainder when 92730 is divided by 618? 30 Calculate the remainder when 406240 is divided by 47. 19 What is the remainder when 1019 is divided by 172? 159 What is the remainder when 12172 is divided by 348? 340 Calculate the remainder when 392 is divided by 278. 114 Calculate the remainder when 600160 is divided by 42868. 8 What is the remainder when 28127 is divided by 2886? 2153 What is the remainder when 27533 is divided by 3059? 2 What is the remainder when 186466 is divided by 164? 162 What is the remainder when 3958 is divided by 40? 38 Calculate the remainder when 120510 is divided by 112. 110 Calculate the remainder when 123987 is divided by 5. 2 What is the remainder when 2814 is divided by 217? 210 Calculate the remainder when 90124 is divided by 5006. 16 What is the remainder when 21820 is divided by 179? 161 Calculate the remainder when 1698 is divided by 420. 18 Calculate the remainder when 484892 is divided by 371. 366 What is the remainder when 1070 is divided by 286? 212 What is the remainder when 18198 is divided by 9085? 28 Calculate the remainder when 2786 is divided by 229. 38 Calculate the remainder when 11025 is divided by 607. 99 What is the remainder when 11687 is divided by 467? 12 Calculate the remainder when 9047 is divided by 1809. 2 Calculate the remainder when 4457 is divided by 264. 233 What is the remainder when 341378 is divided by 16256? 2 What is the remainder when 3948 is divided by 179? 10 What is the remainder when 85268 is divided by 8? 4 What is the remainder when 4916 is divided by 4916? 0 What is the remainder when 85935 is divided by 7157? 51 What is the remainder when 3519 is divided by 237? 201 What is the remainder when 86666 is divided by 174? 14 What is the remainder when 37228 is divided by 192? 172 Calculate the remainder when 57895 is divided by 290. 185 Calculate the remainder when 269873 is divided by 517. 516 Calculate the remainder when 496333 is divided by 165443. 4 Calculate the remainder when 12003 is divided by 84. 75 What is the remainder when 50619 is divided by 20? 19 What is the remainder when 28469 is divided by 321? 221 Calculate the remainder when 21818 is divided by 212. 194 What is the remainder when 164921 is divided by 9? 5 Calculate the remainder when 10431 is divided by 2. 1 What is the remainder when 3274 is divided by 130? 24 What is the remainder when 1732 is divided by 113? 37 What is the remainder when 1463 is divided by 727? 9 Calculate the remainder when 5328 is divided by 40. 8 What is the remainder when 641544 is divided by 128307? 9 What is the remainder when 1766 is divided by 268? 158 What is the remainder when 21324 is divided by 762? 750 What is the remainder when 2147 is divided by 966? 215 What is the remainder when 777940 is divided by 300? 40 What is the remainder when 35689 is divided by 2972? 25 Calculate the remainder when 17313 is divided by 2884. 9 Calculate the remainder when 3474 is divided by 119. 23 Calculate the remainder when 14421 is divided by 51. 39 What is the remainder when 30035 is divided by 653? 650 What is the remainder when 45662 is divided by 25? 12 Calculate the remainder when 27836 is divided by 402. 98 Calculate the remainder when 542284 is divided by 18. 16 Calculate the remainder when 3234299 is divided by 1078092. 23 Calculate the remainder when 234133 is divided by 165. 163 What is the remainder when 8318 is divided by 920? 38 Calculate the remainder when 12050 is divided by 198. 170 Calculate the remainder when 42535 is divided by 989. 8 What is the remainder when 13772 is divided by 6129? 1514 Calculate the remainder when 1286 is divided by 1281. 5 Calculate the remainder when 23660 is divided by 32. 12 Calculate the remainder when 507 is divided by 49. 17 What is the remainder when 8155 is divided by 160? 155 Calculate the remainder when 50268 is divided by 12543. 96 What is the remainder when 159635 is divided by 212? 211 What is the remainder when 29706 is divided by 14849? 8 What is the remainder when 2830 is divided by 102? 76 Calculate the remainder when 39929 is divided by 16. 9 Calculate the remainder when 72 is divided by 8. 0 What is the remainder when 77825 is divided by 357? 356 What is the remainder when 486 is divided by 97? 1 What is the remainder when 6927 is divided by 14? 11 Calculate the remainder when 55046 is divided by 385. 376 What is the remainder when 3895 is divided by 49? 24 What is the remainder when 119625 is divided by 462? 429 What is the remainder when 1345 is divided by 419? 88 What is the remainder when 2941 is divided by 79? 18 What is the remainder when 136485 is divided by 68179? 127 Calculate the remainder when 42378 is divided by 66. 6 Calculate the remainder when 20657 is divided by 334. 283 What is the remainder when 415 is divided by 144? 127 What is the remainder when 124672 is divided by 284? 280 What is the remainder when 151678 is divided by 66? 10 What is the remainder when 205522 is divided by 28? 2 What is the remainder when 10
{ "pile_set_name": "DM Mathematics" }
second derivative of 5*h**7/6 - 7*h**3 + h**2 + 17*h. Find the second derivative of g(w) wrt w. 700*w**3 Suppose 0*d + 19*d = 6*d. Let i(t) be the first derivative of 0*t**4 + d*t + 1/6*t**6 + 0*t**3 - 7 + 0*t**5 + 3*t**2. Find the second derivative of i(o) wrt o. 20*o**3 Let b(d) be the second derivative of 209*d**4/3 - 165*d**3/2 - 18*d + 6. Find the second derivative of b(y) wrt y. 1672 Let d(b) be the first derivative of b**6/30 - 37*b**5/120 - 16*b**3/3 - 21. Let l(q) be the third derivative of d(q). Find the second derivative of l(k) wrt k. 24 Find the third derivative of 142*i**2 - 283*i**2 + 29 + 28*i**5 + 3*i**6 + 3*i**6 + 139*i**2 wrt i. 720*i**3 + 1680*i**2 What is the second derivative of 36*k + 80*k + 15*k - 44*k**3 + 2568*k**4 - 2569*k**4 wrt k? -12*k**2 - 264*k Differentiate 659*y**3 + 432 - 214 + 129 - 12*y**3 with respect to y. 1941*y**2 Let y(a) be the first derivative of -7 + 0*a**2 - 5*a - 2/3*a**3. Differentiate y(b) wrt b. -4*b Suppose p + 15 = 3*c, c = 6*c - 2*p - 26. Find the first derivative of 5*w**c + 560 - 564 + 2*w**4 wrt w. 28*w**3 Let o be 4/30 + (-280)/(-150). Find the second derivative of -8*t**o + 18*t - 3 + 1 + 2 wrt t. -16 Find the second derivative of -32*s + 10*s**3 - 13 + 52 - 16 - 23 wrt s. 60*s Let s(b) = b + 37. Let m(z) = -z**2 + 8*z - 7. Let u be m(9). Let p be s(u). What is the derivative of -p + 3*q - 11*q + 16 wrt q? -8 Let n(k) be the first derivative of 2*k**6/3 + 10*k**3/3 + 473*k**2/2 - 273. What is the second derivative of n(d) wrt d? 80*d**3 + 20 Let t(f) be the third derivative of -113*f**4/24 - 201*f**3/2 - 3*f**2 + 54*f. Find the first derivative of t(s) wrt s. -113 Let i be 3 + ((-10)/5 - -1). Find the second derivative of 4*m + 3*m**4 + i*m + 3*m**4 wrt m. 72*m**2 Let l(j) be the first derivative of -11*j**5/60 + j**3/3 - 7*j**2 + 15. Let w(s) be the second derivative of l(s). Differentiate w(y) with respect to y. -22*y What is the second derivative of -3*g**4 - 2*g**3 + 352*g - 18*g**5 - 93*g + 2*g**3 - 5*g**4 wrt g? -360*g**3 - 96*g**2 Let o be 2*(-5)/(2 + -7). Find the third derivative of 4123*r**4 - 15*r**o - 4123*r**4 + 27*r**5 wrt r. 1620*r**2 Suppose 0*m - 9 = -3*m. Suppose 0*f - 12 = -m*f. What is the derivative of -5*h - f + 3 + 4 wrt h? -5 Let d(z) be the third derivative of -161*z**5/60 + z**4/6 + 17*z**3/6 + 83*z**2. Find the second derivative of d(u) wrt u. -322 Let v(y) = 202*y**5 + 2*y**4 - y**2 + 185. Let p(h) = -3. Let o(k) = -p(k) + v(k). Find the third derivative of o(l) wrt l. 12120*l**2 + 48*l Let p(d) be the second derivative of -d**6/15 + 51*d**5/20 - d**4/12 - d**3 - 95*d. What is the third derivative of p(o) wrt o? -48*o + 306 Let s(q) be the first derivative of 11*q**7/42 - 7*q**4/4 + 30*q - 33. Let x(w) be the first derivative of s(w). Find the third derivative of x(l) wrt l. 660*l**2 What is the second derivative of 229 + 297 - 480 + 2*a + 643*a**4 wrt a? 7716*a**2 Let u(q) be the first derivative of 11*q**10/5040 - q**6/45 + 7*q**3/3 - 5. Let k(t) be the third derivative of u(t). Find the third derivative of k(j) wrt j. 1320*j**3 Let t(f) = -f - 8. Let q(m) = 5*m + 41. Let z(o) = -2*q(o) - 11*t(o). Let a be z(5). Differentiate 3*d - 6 + a + d wrt d. 4 Find the third derivative of 29*b**5 - 197*b**5 + 340*b**2 + 75*b**2 - 96*b**2 wrt b. -10080*b**2 Let w(u) be the third derivative of 0*u**6 + 0*u**4 - 3/56*u**8 + 0 + 0*u**3 + 0*u - 19/60*u**5 - 36*u**2 + 0*u**7. What is the third derivative of w(y) wrt y? -1080*y**2 Let m(a) be the first derivative of 19 - 6*a - 47*a**4 - 9*a + 46*a**4. What is the derivative of m(b) wrt b? -12*b**2 Let k be ((-6)/8)/((-27)/72). Differentiate 18*z**2 - 5*z**k + 13 + 13 - 35 wrt z. 26*z Let y(z) = -z**3 + 3*z - 3. Let w be y(2). Let u = w + 17. Find the second derivative of 4*m**2 - m + 12 - u wrt m. 8 Let p = -197 - -1187/6. Let n(y) be the third derivative of 0*y**4 + p*y**3 + 0*y + 4*y**2 + 1/20*y**5 + 0. Differentiate n(q) with respect to q. 6*q Let o(b) be the first derivative of 7*b**6/3 + 2*b**3/3 + 116*b**2 + 177. What is the second derivative of o(d) wrt d? 280*d**3 + 4 Let t(m) be the first derivative of 0*m**2 + 0*m**5 - 1/2*m**6 + 0*m**4 + 0*m - 9 - 2/3*m**3. What is the third derivative of t(w) wrt w? -180*w**2 Let d(g) = g**4 - g**3 - g**2 + g. Let q(c) = -2*c**4 + 3*c**3 + 3*c**2 + 14*c - 145. Let f(h) = -3*d(h) - q(h). What is the first derivative of f(l) wrt l? -4*l**3 - 17 Suppose -168 + 7 = -23*m. Let r(s) be the first derivative of 0*s - 3*s**2 - 7/3*s**3 + m. What is the second derivative of r(q) wrt q? -14 What is the second derivative of -9*h + 3 + 113*h**4 - 30*h - 120*h**4 wrt h? -84*h**2 Let g(h) = h**2 + 10*h + 19. Let n be g(-8). What is the second derivative of -22*u**3 + 12*u + 13*u**n - 2 + 2 wrt u? -54*u Let b(q) be the second derivative of 227*q**7/42 + 245*q**4/12 - 309*q. Find the third derivative of b(l) wrt l. 13620*l**2 Let j(h) = -13*h**2 - h. Let f be (-2)/3 - 152/24. Let x(d) = -141 + 141 - 9*d**2 - d. Let z(a) = f*x(a) + 5*j(a). Find the second derivative of z(l) wrt l. -4 Let p = 22/85 + 89/510. Let u(l) be the second derivative of p*l**6 + 0 + 0*l**2 - 5*l + 0*l**3 - 5/6*l**4 + 0*l**5. What is the third derivative of u(x) wrt x? 312*x Let f(l) be the third derivative of l**8/336 + l**6/30 + l**3/6 + 2*l**2. Let s(g) be the first derivative of f(g). What is the third derivative of s(y) wrt y? 120*y Let y be 17/((2 - -1)/3). Find the second derivative of 45*h**5 - y*h - 27*h**5 - 9*h wrt h. 360*h**3 Let i(k) = k**4 + 2*k**3 - k**2. Let f(h) = 103*h**4 + 12*h**3 - 6*h**2 + 15*h. Let m(n) = f(n) - 6*i(n). What is the second derivative of m(w) wrt w? 1164*w**2 Let d(b) be the third derivative of 0 + 5/6*b**3 - 17*b**2 + 0*b - 3/20*b**5 + 0*b**4. Find the first derivative of d(h) wrt h. -18*h Let m(q) = -207*q**3 - 3*q**2 - 3*q + 256. Let x(k) = -207*k**3 - 2*k**2 - 2*k + 252. Let t(d) = 2*m(d) - 3*x(d). What is the first derivative of t(y) wrt y? 621*y**2 Find the first derivative of 135*p + 241 + 82 + 128 wrt p. 135 Let b = -591 + 999. What is the second derivative of 408 - 22*r**3 - b - 25*r wrt r? -132*r Suppose 5*z + 0*z - 35 = -5*m, -29 = -5*m + z. Suppose -2*x = -4*x - s, -3*x - 3*s = m. Find the third derivative of 4*y**6 - 2*y**2 + 4*y**x - y**2 wrt y. 480*y**3 Suppose -10 = 2*i + 6*k - 4*k, -k = 5*i + 5. Let y(z) be the second derivative of 0*z**3 + 1/12*z**4 - z**2 + i - 3*z. Differentiate y(b) with respect to b. 2*b Let c(p) = p**2 - 4*p - 19. Let w(b) = b**3 - 3*b**2 - 4*b + 4. Let a be w(4). Let k(i) = i**2 + i + 1. Let s(d) = a*k(d) + c(d). Differentiate s(g) wrt g. 10*g Find the third derivative of 0*c**3 + 193*c**6 - c**3 + 1 + 13*c**2 + 177*c**6 - 354*c**6 wrt c. 1920*c**3 - 6 Find the second derivative of -9*o**2 + 4*o - 11*o**2 - 1 - 2*o**2 - 21*o**2 wrt o. -86 Let q(p) = p. Let j(r) = r**4 - 30*r**2 + 15*r + 1. Let c(b) = -j(b) - 2*q(b). What is the second derivative of c(g) wrt g? -12*g**2 + 60 Let i(q) = -28*q + 1. Let v be i(-1). What is the first derivative of -3 + 2 - 5 + v*h**2 - h**2 wrt h? 56*h Let u(z) be the first derivative of -31*z**3/3 + 87*z**2/2 + 35. Find the second derivative of u(g) wrt g. -62 Let c(n) be the first derivative of 0*n**4 + 3 + 7/5*n**5 + 9*n**2 + 0*n + 0*n**3. What is the second derivative of c(h) wrt h? 84*h**2 Let j(l) be the third derivative of -3*l**5/2 - 11*l**4/24 - 2*l**3/3 + 2*l**2 + 4*l. What is the second derivative of j(f) wrt f? -180 Suppose -2*k = -6*k + 8. Suppose 2*f = 5*x - 58, k*x + 5 = f + 29. What is the second derivative of -3*t**3 - t**3 - 10*t + 4*t**3 + x*t**4 wrt t? 120*t**2 Let u be 3 - (20/(-5) + 5). What is the third derivative of -5*x**u + 22*x**2 - 37*x**3 + x**2 wrt x? -222 Let x(g) be the third derivative of -32*g**2 + 0 + 0*g**3 - 29/24*g**4 + 43/60*g**5 + 0*g. Find the second derivative of x(n) wrt n. 86 Suppose 5*k = k + 20. Suppose -k*q = -n + 2, -4*n - 3*q + 8 = -q. What is the first derivative of 1 + 0 + 6*x - n*x + 5*x wrt x? 9 What is the third derivative of -3*f**2 - 18*f**3 - f**4 - 4*f**2 - 15*f + 10*f**2 wrt f? -24*f - 108 Let f(v) = -3*v - 6. Let d be f(-4). What is the first derivative of -2 + n - 2*n - 2 - d*n wrt n? -7 Let d(l) = -5*l - 3. Let p be d(-2). Let q = p + 2. Differentiate
{ "pile_set_name": "DM Mathematics" }
*4 - 1 to v*q + b*q**2 + s + r*q**3 + j*q**4 and give j. 3 Express -4*h + 4*h**4 + 6*h - 1 - 3*h**4 - 6*h**3 in the form p*h**3 + f*h + x*h**4 + n + j*h**2 and give x. 1 Rearrange 2 - 5 + 3 + 3*u to the form m + b*u and give b. 3 Express (-4*j - 3 + 3)*(-5*j**3 - 2*j**3 + 3*j**3) + 2*j**3 - 2*j**3 + 3*j**4 in the form f*j**4 + k + m*j**2 + z*j + q*j**3 and give f. 19 Express -2*v**2 + v**2 + 3*v**2 - 20 in the form b*v + x + u*v**2 and give x. -20 Rearrange (21*x - 12*x + 2*x)*(2 + 0 - 3)*(x - x - x**3) to the form y*x**3 + n*x**2 + i*x**4 + g*x + d and give i. 11 Rearrange (2*f + 2*f**2 - 2*f)*(16*f**2 - 3*f**2 - 3*f**2) - f**4 + f**4 - 2*f**4 to the form v + j*f**2 + d*f**4 + s*f**3 + n*f and give d. 18 Express 0*p**3 + 0*p**3 + 0*p**3 + 5*p**3 + p as h*p**3 + l*p + z + q*p**2 and give h. 5 Rearrange (11*c - 4*c + 2*c)*(c**2 - 2*c**2 - 3*c**2) to p + l*c + v*c**3 + w*c**2 and give v. -36 Express v**4 + 3*v**4 - 3*v**4 + (221*v - 221*v + 15*v**3)*(-2 + 2*v + 2) in the form x + i*v**2 + l*v + o*v**4 + b*v**3 and give o. 31 Rearrange (t + 0*t + 0*t)*(0*t + 3*t - 4*t) to x*t + b + q*t**2 and give q. -1 Express (f + f + 2 - 6)*(f + 7*f - 4*f) + f**2 + f**2 - f**2 as b*f + q*f**2 + z and give b. -16 Rearrange (3 - 2 + 0)*(3*q - 3 + 3) - 2*q + 11 - 3 - 7 to l + b*q and give b. 1 Express 4*z**3 - 4*z**3 - 2*z**4 + 1 - 5*z**3 as t*z + x*z**2 + k*z**3 + l + y*z**4 and give l. 1 Express (3*u - 2*u + 0*u)*(-2*u + u**3 + 2*u + (-61*u - u - 4*u)*(-4*u**2 + 5*u**2 + 0*u**2)) in the form p*u + o*u**4 + g*u**3 + n + b*u**2 and give o. -65 Rearrange -78 + 21*g**2 + 78 to m*g + q + x*g**2 and give x. 21 Rearrange (0*r + r - 3*r)*(-r**3 - r**3 + 0*r**3) + (2 - 2 + 4*r)*(-4*r**3 + 4*r**2 - 4*r**2)*(2 + 2 - 2) to w + x*r + f*r**2 + u*r**3 + a*r**4 and give a. -28 Express 0 + 9*d**2 + 4 - 13*d**2 as j*d + g*d**2 + l and give g. -4 Rearrange -y + y + y + (4 + 5 - 6)*(-4 + 2*y + 4) to the form r + b*y and give b. 7 Express 11*c**2 - 5*c**2 + 2*c**2 as a*c**2 + u + z*c and give z. 0 Rearrange 5*x - 26*x**2 + 26*x**2 + 2*x**3 + (-3 - 3 + 4)*(4*x**3 + 4*x**3 + 8*x**3) to the form m*x**3 + o + y*x + q*x**2 and give y. 5 Rearrange 8*d + 3*d + 2*d to o*d + i and give o. 13 Express -22*y - 3*y**4 + 4*y**4 - 1 + 2*y**2 + 24*y as r*y**2 + o + z*y**4 + a*y + w*y**3 and give o. -1 Rearrange -8*s - s - 11*s - 12*s to the form z*s + c and give z. -32 Express 11*a**2 + 36 - 36 in the form l*a + w*a**2 + f and give w. 11 Express 121*l - 4 + 2 - 127*l in the form w*l + p and give p. -2 Express 6*a**4 - 2*a**4 - 2*a**4 + a + 2 + a**2 + 2*a**4 in the form m + o*a**2 + z*a + p*a**4 + g*a**3 and give m. 2 Express (-3 + 0 + 1)*(-3*x + 0 + 0) + (1 - 3 + 3)*(-4*x + 2*x + 0*x)*(-6 - 11 + 1) in the form h + l*x and give l. 38 Rearrange -5 - 2*q + 0*q**2 - 4*q**2 + 2*q to n + l*q + i*q**2 and give l. 0 Rearrange (-2 + 2 - 1)*(-3*n + 4*n - 4*n) to x + o*n and give o. 3 Express (-h - 3 + 3 + (0 + 1 + 1)*(2*h + h - h))*(3 + 0 - 4) in the form p + g*h and give g. -3 Rearrange (-6*k**2 + k**2 + k**2)*(2*k - 2*k - 2*k) + (-2 + 1 - 1)*(k**3 - 4*k**3 + 2*k**3) to o*k**2 + n*k + b + z*k**3 and give n. 0 Rearrange (-2*z**2 + 0*z**2 + 0*z**2)*(2 - z**2 - 2 + (-2*z - 2*z + 2*z)*(2*z - 5*z + z) - 1 + 1 - 2*z**2) to p + b*z**4 + n*z**3 + c*z + f*z**2 and give b. -2 Rearrange 3*b**2 + 0*b**2 - b**2 - 19*b**2 to t + o*b + c*b**2 and give c. -17 Rearrange 7*b - 5*b - 1 + 15 to the form n + p*b and give p. 2 Express 4 + 4 - 5*u - 8 as s + b*u and give b. -5 Rearrange (1 - 2 + 3)*(-2*o + 15*o - o - 2*o**2) to the form w*o**2 + u + i*o and give w. -4 Rearrange 17 + h - 17 + 7*h**2 to the form i + p*h**2 + k*h and give p. 7 Express 19 + 33*n + n**3 - 13 - 6 as m*n**3 + j*n + q + o*n**2 and give j. 33 Express -9*x**3 + 63 - x - 2*x**2 + 2*x - 66 as n + k*x**3 + j*x**2 + p*x and give k. -9 Express -3 + 3 - o**2 + (-o + 0*o + 0*o)*(-2*o - o + 5*o) - 42*o + 9*o**2 + 42*o in the form f + i*o + w*o**2 and give w. 6 Express 787 + 2*t**2 - 778 + t**2 + 8*t**2 as q*t + m + l*t**2 and give l. 11 Rearrange p - 2 - 6*p + 38*p + 11*p to the form h + w*p and give w. 44 Express (-3*x + 3*x + 3*x)*(-x**2 + 8*x**2 + x**2) + 0*x**3 - 2*x**3 + 0*x**3 as s*x + v*x**3 + j + u*x**2 and give v. 22 Express -t**4 + 6*t**2 + 2*t**3 - 4*t**2 + 6 - 5 in the form c*t**3 + z*t + d + x*t**2 + f*t**4 and give x. 2 Express (38*y + 23*y - 24*y + 2)*(0*y**2 - y**2 + 3*y**2) in the form o*y**2 + v*y**3 + r + m*y and give v. 74 Express 227 - 227 + 34*f**2 in the form h + w*f + k*f**2 and give k. 34 Rearrange (4 - 4 + 2*n**2)*(9*n - 80*n**2 + 167*n**2 - 83*n**2) to p*n**2 + r*n + y + t*n**3 + q*n**4 and give q. 8 Express (-n**2 + n**2 - n**2)*(-14*n**2 - 106*n + 106*n) in the form d + k*n**2 + j*n**3 + x*n + q*n**4 and give q. 14 Express (2*x + x - 2*x)*(-8*x**2 + 2*x**2 + 2*x**2) in the form z*x + h + w*x**3 + c*x**2 and give w. -4 Rearrange 3*n**2 - 4*n**2 + 2*n**2 + (8*n - 3*n + n)*(-2*n + n - n) - 2*n**2 + n**2 + 3*n**2 + 2*n**2 + 5*n**2 - 5*n**2 to w + q*n**2 + p*n and give w. 0 Express 7*f - 24*f**3 + 25*f**3 - 2*f**2 - 3*f as x*f + m*f**2 + z + d*f**3 and give d. 1 Rearrange (9 - 9 + 4*v**2)*(0*v - v**2 + 0*v) + 1 + 3*v**4 - 1 to u + p*v**3 + k*v + o*v**4 + g*v**2 and give o. -1 Express k**4 + k**2 + k**4 + 2 - 4*k**4 + k + 3*k**4 as p*k**2 + w*k**4 + h*k**3 + i*k + s and give p. 1 Rearrange -44*d**2 + 355*d - 355*d + (2 - 2 - 2*d)*(0*d + 0*d - 2*d) + d + d**2 - d to y*d**2 + t + u*d and give y. -39 Rearrange -9*f + 34*f + 54*f + 5*f to the form l + b*f and give l. 0 Express (-3 - 6 + 2)*(-f + 2*f - 3*f) as p*f + x and give p. 14 Express -r - r + r + (-3*r + r + 3*r)*(-42 + 20 + 31) as u + t*r and give t. 8 Express (-2*n**2 + 3*n**2 + 0*n**2)*(-5*n + 5*n - 2*n)*(-2 + 0 + 0)*((-n + 1 - 1)*(-2 - 1 + 1) - 3*n + n - n) as y + z*n**3 + t*n**4 + a*n + w*n**2 and give t. -4 Express (3 + 0 - 1)*(3*n - 2*n**4 - 3*n) - n**2 + 2*n**4 + n**2 - 20*n**2 - 15*n**4 + 20*n**2 in the form p + h*n + k*n**2 + g*n**3 + o*n**4 and give k. 0 Express -15 - 3*o - o + 15 as k + f*o and give k. 0 Express (-3*p + 5*p - 4*p)*((-2 + 4 + 0)*(-1 + 2 - 3) + 3 - 6 + 4) - p + p + 2*p + 2*p + 0*p - 5*p in the form k*p + g and give k. 5 Rearrange (1 + 1 - 1)*(-8*h + 3 + 5 + 10*h) to the form i + s*h and give s. 2 Rearrange 43*n**2 + 49*n**2 - 94*n**2 + 2*n**3 + 2 to j + f*n + d*n**3 + b*n**2 and give d. 2 Rearrange (-127*r**3 + 44*r**3 - 134*r**3)*(2*r - 2*r + r)*(-5 + 2 + 1) to the form m*r**2 + x*r**3 + l*r + k*r**4 + h and give k. 434 Rearrange -6*r**2 - 2*r**2 - 9 + 4 + 3 to a*r + k*r**2 + b and give b. -2 Express (2*m - m + 2*m)*(-10*m + 7*m + 5*m) + (4*m - 4*m + m)*(-m - m + 0*m) as y*m**2 + f*m + i and give y. 4 Express (74 - c - 74)*(6 + 0 - 4) as l*c + n and give n. 0 Express -29 + 3*r**2 + 3*r**3 + 5*r - 6*r + 23 - r**2 as k*r**3 + x*r + s*r**2 + q and give q. -6 Rearrange 3*d**2 + 0*d + 0*d + (0 + 0 + 2)*(5*d**2 - d**2 - 3*d**2) + 5*d**2 + 2*d**2 - 5*d**2 to the form r*d + k + s*d**2 and give s. 7 Rearrange -10*s**2 + 13 - 6 - 5 to u*s + p*s**2 + r and give r. 2 Rearrange -1 - 10*s**2 + 20*s + 4*s**2 - 20*s to w*s**2 + f*s + t and give w. -6 Rearrange (-c**3 - c**3 + c**3)*(3 - 15 - 5) + (-3 + c**3 + 3)*(-1 + 2 - 2) to the form a*c + o*c**2 + j + l*c**3 and give j. 0 Rearrange (-49 - 7 - 7 + 6)*(q + 2*q - q) to the form a*q + u and give a. -114 Rearrange 2*v**4 + 2*v**4 - 3*v**4 + (0*v + 11*v + 3*v)*(-3*v**2 + 3*v**2 - v**3) to w*v**2 + m*v + u*v**3 + f + h*v**4 and give h. -13 Express (-14*l - 2 + 17*l + 16*l)*(-4*l**2 + 2*l**2 + 3*l**2) in the form b + o*l + r*l**3 + z*l**2 and give z. -2 Rearrange (-5*k + k + 3*k)*(-k + 3*k - 4*k + 2*k - 3 + 3 + (6 - 6 - 2*k)*(-3 + 1 + 1) - k - 3*k + 5*k) to the form t + z*k**2 + h*k and give t. 0 Rearrange -3*j**2 + 2*j**2 + 2*j**2 + (0*j - j + 3*j)*(21*j + 2*j - 4*j) to the form t*j + f*j**2 + u and give f. 39 Express 6*m + 4 - 4 + (0 + 0 + 3)*(-3 + 3 + 2*m) in the form x*m + y and give x. 12 Rearrange (0*w**3 + w**3 - 4*w**3)*(3*w + 2*w - 6*w) - 2*w**4 + 31*w - 31*w + w**4 + 0*w**3 + 0*w**3 to m*w**3 + j*w**4 + h + y*w + s*w**2 and give h. 0 Express 50*n + 21*n - 2 + 2 as l*n + u and give l. 71 Rearrange -1 - 50*w**2 + 8*w**4 + 1 + 2*w - 2*w**3 + 52*w**2 to the form j*w**4 + a*w**2 + o*w**3 + l + m*w and give o. -2 Rearrang
{ "pile_set_name": "DM Mathematics" }
/y a multiple of 22? True Let p(c) be the third derivative of c**4/6 - 3*c**3/2 + 4*c**2. Let m(y) = y**2 + 2*y - 62. Let b be m(-10). Does 9 divide p(b)? True Suppose -28*h + 1435 = -21*h. Suppose h = 102*x - 101*x. Is 5 a factor of x? True Let w = 189 + -171. Suppose 2*a + 1136 = w*a. Does 4 divide a? False Suppose -72*w + 51843 + 59541 = 0. Does 46 divide w? False Suppose -4*v = -3*h - 5294, v - 11*h - 1331 = -9*h. Does 15 divide v? False Suppose -3230 = -12*i - 5*i. Let h = 18 + i. Is 26 a factor of h? True Suppose 5*p + 456 = -p. Let z = 25 - p. Suppose -2*g + d - 259 = -7*g, 3*d - z = -2*g. Is 10 a factor of g? False Let z(j) = 401*j**2 - 12*j - 220. Does 15 divide z(-6)? False Let j = 26 - 7. Let y = -16 + j. Is 22 a factor of 369/y + 5 + -2? False Let q be (-12)/(-9)*9/6. Suppose -4 = o, -y = -o + 6*o + q. Let p(d) = -d**2 + 20*d + 8. Does 22 divide p(y)? True Let i be (-3 + 234/42)/((-1)/182). Is i/(-8)*(-20)/(-45) a multiple of 5? False Let r = 1592 + -1056. Suppose -64 = -5*x + r. Is 3 a factor of x? True Let z(q) = q**3 - 26*q**2 - 27*q + 4. Let l be z(27). Suppose 0 = l*p - 3*c - 855, -5*c - 81 = p - 266. Does 12 divide p? False Let u(h) = -2*h**2 - 24*h - 18. Let o be u(-11). Suppose 79 = o*x - 29. Suppose -4*f + 53 = -5*i, 2*i + 2*i = f - x. Is f even? False Suppose u + 1630 = c - 1165, -2*u + 11168 = 4*c. Suppose -121*g = -102*g - c. Does 7 divide g? True Suppose 53945 = 5*v + 5*q, -4*v = -6*q + 4*q - 43168. Is v a multiple of 109? True Let k be 32 + ((-6)/1 - (-38 + 27)). Suppose 906 = -k*h + 5790. Is 33 a factor of h? True Let r(m) = 2*m**2 - 38*m - 214. Is 3 a factor of r(-16)? True Let j = 6153 + -70. Suppose 0 = 18*o + 1763 - j. Is o a multiple of 16? True Let b(o) = -o**2 + 3*o + 87. Let c be b(10). Suppose 3*r - 1117 - c = 0. Does 9 divide r? True Let g(z) = 914*z + 2214. Is 6 a factor of g(15)? True Let k = -3459 + 6189. Does 78 divide k? True Let k(z) = 54*z + 81. Let o be k(-4). Is -3*(-10)/o*-3*336 a multiple of 32? True Let u = 12349 + -7351. Is u a multiple of 42? True Suppose -2*p + 84 = -p. Suppose 2*m - 68 - p = 0. Suppose -z + 2 = 0, -m = -2*t + t - z. Is t a multiple of 16? False Suppose -2*m + 3702 - 442 + 1664 = 0. Is 30 a factor of m? False Suppose r - 137 = 1705 + 366. Does 4 divide r? True Let g = 18 + -15. Suppose -2*v + 1050 = g*v. Let i = v + -133. Does 12 divide i? False Is 646 + (3/12 - (-50)/(-8)) a multiple of 160? True Suppose -7*w + 42315 + 1344 = 0. Does 11 divide w? True Let j = -850 - -758. Is 3*(10/(-6) - 0) - j a multiple of 7? False Let x = 9305 - 5481. Is x a multiple of 114? False Let g(r) = r**3 - 20*r**2 + 56*r - 108. Does 14 divide g(26)? True Suppose 5*f - 4*n = n - 3360, 5*f - 2*n + 3369 = 0. Let l = 949 + f. Is l a multiple of 24? False Let r = -28 - -33. Suppose 2*w - r*s = -9, 2*s + 30 = 5*w + 7*s. Suppose 5*i + 2*u = 1262, -w*i + 0*u = -3*u - 753. Does 52 divide i? False Let n = 1 + 1. Let j(y) = 20 + 45*y**2 - 22*y**2 - 24*y**n - 14*y. Is 25 a factor of j(-10)? False Does 74 divide (36/(-16))/(-3) + 4 + 38765/4? False Suppose -93*n + 46866 = -24837. Is n a multiple of 2? False Let h(s) = 60*s - 1142. Let u be h(19). Suppose -5*v + 35 = 10. Does 5 divide v*(u + 10 + -4)? True Let q(g) = g + 23. Let w be q(-8). Suppose -w*o + 20*o = 430. Suppose -7*y + o + 54 = 0. Is 20 a factor of y? True Suppose 63*x - 284 = 59*x. Suppose 0 = -a + 14 - 12. Suppose 0 = z - 2*z + a*s + 23, -x = -2*z - s. Does 2 divide z? False Let d(f) = 75*f**2 - 115*f + 6. Is d(3) a multiple of 12? True Suppose -2*c = 2*c - k - 254, 0 = c + 3*k - 57. Let j = c - -133. Is j a multiple of 14? True Suppose 2*t - 332 = -5*n, -4*t - 2*n = -0*t - 648. Let l(j) = j**3 + 15*j**2 + 18*j + 4. Let q be l(-13). Let d = t - q. Is 4 a factor of d? False Let j = -545 + 545. Is (60 - j)/((-90)/(-60)) + 5 a multiple of 4? False Suppose -70270 = -3*w - c, 23435 = w + 142*c - 144*c. Is w a multiple of 35? False Let d(o) = o + 22. Let h be d(8). Suppose -12*b = -6*b - h. Suppose 0 = -b*a + 65. Does 2 divide a? False Let x = -7876 - -11304. Is x a multiple of 69? False Is (9400/(-35) - 0)/((-10)/35*1) a multiple of 10? True Let c = 1073 + -454. Let x = c - 311. Is x a multiple of 4? True Suppose -2*f = 5*z - 2675, 6*z = 7*z + 2*f - 535. Is (4 - z/15)*-6 even? True Suppose -4*n + 2491 = -16*k + 19*k, 0 = 4*n + 4*k - 2484. Is n a multiple of 3? False Let f = 170 + -179. Let y(i) = -6*i + 10. Is 16 a factor of y(f)? True Let w(n) = 90*n**2 + 91*n - 56. Does 62 divide w(8)? False Let d(u) = u**2 - 42*u - 3370. Is d(-97) a multiple of 76? False Let y = -1820 + 2270. Does 10 divide y? True Let p = 8497 + -7345. Is p a multiple of 12? True Let c(t) = 98*t + 4402. Is c(-17) a multiple of 50? False Let c be (2 + 1 + -5)*-1. Is (c/6*-94 + 4)*-3 a multiple of 25? False Let d = -9970 + 9382. Suppose 3480 - 36 = -4*m. Let n = d - m. Does 21 divide n? True Let h = 145 - 63. Suppose 0 = -w + 3*a + 23, -w + 1 - 2 = 5*a. Suppose -w*c + 72 = -h. Is 4 a factor of c? False Suppose 6*z = 52 + 1052. Suppose 2*t + 3*f = 714 - 7, 0 = -3*f - 15. Let m = t - z. Is m a multiple of 25? False Let y(o) be the third derivative of o**4/12 + 70*o**3/3 + 17*o**2. Is y(0) a multiple of 7? True Let x be -18*3/(-4 - -3). Suppose 38 - x = -s. Suppose 2*r - s + 5 = 3*l, 0 = -2*r - 2*l + 16. Is 2 a factor of r? False Let a(o) = o**3 + 6*o**2 - o - 4. Let v be a(-6). Let j be 101/v + 7/14. Is j - 9 - 1*-2 a multiple of 5? False Let n(f) = 22*f + 9. Suppose 4*c + 17 - 69 = 0. Suppose 0 = -3*k + m + c, k + 2 = -5*m + 1. Does 11 divide n(k)? False Let x(o) = 2*o - 10. Let w be x(0). Let p = w + 16. Is 20 a factor of (-20)/(p/8 + (-4)/4)? True Let v(o) = 35*o**2 + 14*o - 210. Is v(7) a multiple of 7? True Let a be 50/3*480/(-100). Is (a - 0)*2/(-5) a multiple of 32? True Let k be (-4)/2 - (-2460)/20. Suppose -50 = -u + 4*x, -3*u + x + k = -62. Is 6 a factor of u? False Let d = 306 + -311. Let l(q) = -83*q - 64. Does 39 divide l(d)? True Suppose 3*g + 240 = 240. Suppose 0 = 5*r - 2*m - 56 - 384, g = -3*r - 4*m + 290. Does 18 divide r? True Is 25 a factor of 0*(-2)/(-12) - -650? True Suppose 0 = 3*a - 81 + 21. Let h = 22 - a. Suppose 2*s = h*r - 150, 2*s + 1 = r - 78. Does 23 divide r? False Let c(z) = 72*z**2 - 11*z - 8. Let m(b) = -b**2 + 2*b + 2. Let k(v) = c(v) + 3*m(v). Is k(2) a multiple of 12? True Let b = 80 - 115. Let d be (-60)/b - (-6)/21. Is 42 a factor of (1 + (-181)/d)*(0 + -2)? False Let d = -21800 - -22761. Does 59 divide d? False Suppose 76292 = 9*g + 22742. Is g a multiple of 8? False Let i = 15 + -18. Let v(z) = -2*z**3 + 2*z**2 - 4*z - 12. Is v(i) a multiple of 12? True Suppose -9*m + 2101 = -3029. Suppose m = 17*l - 1130. Does 15 divide l? False Let z(b) = 13*b**2 - 39*b + 3. Let w(d) = 8*d - 68. Let t be w(9). Is 33 a factor of z(t)? False Let z(h) be the third derivative of 11*h**4/24 + 2*h**3 - 4*h**2 - h. Is 4 a factor of z(4)? True Let m(y) be the first derivative of -y**2 - 16*y - 19. Let g be m(-6). Does 10 divide 377/5 + g/10? False Let i(v) = 3*v**2 - 38*v + 6. Let j be i(12). Is 15 a factor of (-3213)/j + -8 + (-1)/(-2)? False Suppose 2*i - 44275 = -11*o + 12*o, 0 = 3*i + 4*o - 66440. Is i a multiple of 27? True Let p = 18 + 37. Let f = p - 59. Let z(r) = -2*r**3 - 5*r**2 + r + 8. Does 13 divide z(f)? True Suppose 3 + 3 = 3*p. Suppose w + 3*o = p*o, 5*o = 2*w - 21. Suppose -5*z - l = w*l - 393, 3*l - 153 = -2*z. Does 27 divide z? True Let w = 21411 - 4217. Is w a multiple of 24? False Let b(q) = q**3 - 19*q**2 - 19*q + 2. Let n be b(20). Suppose 0 = -5*i + 4*h + 459, 4*h - n = -6. Is 10 a factor of i? False Let d(g) = g**2 - 34*g + 35. Is d(43) a multiple of 84? False Let u = -254 - -259. Suppose -5*y + 540 = -5*t + 6*t, 0 = -3*y + u*t + 324. Is y a multiple of 12? True Let k(v) be the first derivative of v**3/3 + 3*v**2/2 + 3*v - 3. Let h = -56 - -47. Is k(h) a multiple of 8? False Let c = -83 + 87. Suppose c*a = -9*a + 143. Is 4 a factor of a? False Let d = 20242 - 7937. Does 4 divide d? False Let g(p) = p**3 + 38*p**2 + 50*p + 159. Is g(-15) a multiple of 6? True Does 12 divide 35 + -48 + (704 - 1)? False Suppose 2*l = -5*q + 158005, 0 = -2*q - 2*l + 3*l + 63211. Is 11 a factor of q? True Suppose -21330 - 331 = -2*i + 18861. Is i a multiple
{ "pile_set_name": "DM Mathematics" }
+ 5*x - 2504 + 0*x - 2*x. 3*x Collect the terms in 409 - 3*i - 409. -3*i Collect the terms in -2*x + 3*x + 2 - 1. x + 1 Collect the terms in -149 + 149 + a**2. a**2 Collect the terms in 2606040324 - 2606040324 - 2*a**2. -2*a**2 Collect the terms in 8 - 8 - 386*j + 387*j. j Collect the terms in -173*l**2 - 481*l**2 - 604*l**2. -1258*l**2 Collect the terms in 2 + 6 - 8 + 17*c. 17*c Collect the terms in -h**2 - 782*h + 782*h. -h**2 Collect the terms in 6 - 6 + 19*x. 19*x Collect the terms in -12*j - 12*j + 32*j. 8*j Collect the terms in 2*g - 108 + 108. 2*g Collect the terms in 70 + 14*i - 70. 14*i Collect the terms in 10*j**3 + 11*j**3 + 7*j**3. 28*j**3 Collect the terms in -2*k**3 - 6*k**3 + 0*k**3. -8*k**3 Collect the terms in 101*x**2 - 96*x**2 + 79 - 79. 5*x**2 Collect the terms in 0*a**3 + 4*a**3 + 6*a**3 + 4*a**3. 14*a**3 Collect the terms in 6*y + 6*y - 5*y. 7*y Collect the terms in 135*m**2 + 138*m**2 + 2*m**3 - 271*m**2. 2*m**3 + 2*m**2 Collect the terms in 2*m + 3*m - 2*m - 4*m. -m Collect the terms in -19*b + 41*b - 25*b. -3*b Collect the terms in -2*m - 4*m**2 - 3*m**2 + 2*m. -7*m**2 Collect the terms in -2281*w**2 + 2281*w**2 - 7*w**3. -7*w**3 Collect the terms in 3*q**3 + 16*q**2 + 5 - 5. 3*q**3 + 16*q**2 Collect the terms in 120 - c**2 + 112 - 232. -c**2 Collect the terms in 0*r - 29 + 3*r + 0*r + 0*r. 3*r - 29 Collect the terms in 3*h + 597 + 2*h + 577 - 1174. 5*h Collect the terms in -39 + 77 - 38 - 8*w + 5*w. -3*w Collect the terms in -4*l**2 + l**2 - l**2. -4*l**2 Collect the terms in -8*f**3 - 4*f**3 + f**3 - 8*f**3. -19*f**3 Collect the terms in -2*c**2 + 0*c**2 + 5331 - 5331. -2*c**2 Collect the terms in 1 - 2 + 9 - 1 + 4*f. 4*f + 7 Collect the terms in 62 - d**2 - 27 - 35. -d**2 Collect the terms in 19 + 14*n**2 + 21 - 10*n - 40. 14*n**2 - 10*n Collect the terms in -101*h + 45*h + 52*h. -4*h Collect the terms in 62*q + 91*q - 189*q + 77*q. 41*q Collect the terms in 280*s**2 - 146*s**2 - 142*s**2. -8*s**2 Collect the terms in -o - 2 - 3 + 8 - 3. -o Collect the terms in -17*c - 29*c - 13*c + 10*c. -49*c Collect the terms in 0*g**3 - 3*g**3 + 11*g - 10*g. -3*g**3 + g Collect the terms in -488 + 6*i**2 + 488. 6*i**2 Collect the terms in -14*z - 19*z + 10*z - 4*z. -27*z Collect the terms in -4 + 3 - b + 11*b + 2. 10*b + 1 Collect the terms in -327 + 327 + 24*k. 24*k Collect the terms in 0*z**3 + 6*z**3 + 5*z**3 - 11*z**3 - 3*z**3. -3*z**3 Collect the terms in -3 - 6*c + 0 + 5. -6*c + 2 Collect the terms in 6*g**2 - 12*g**2 + 2*g**2 + g**2. -3*g**2 Collect the terms in -8*h**3 - 31*h**3 - 4*h**3. -43*h**3 Collect the terms in -7*h - 25*h**3 + 46*h**3 + h. 21*h**3 - 6*h Collect the terms in 8*i**3 + 1551 - 1551. 8*i**3 Collect the terms in 14972*a**3 - 7492*a**3 - 7481*a**3. -a**3 Collect the terms in -8 + 208 - 4*z + 3*z. -z + 200 Collect the terms in -14*d**2 + 16*d**2 + 15*d**2 + 17*d**2. 34*d**2 Collect the terms in -187 + 3*z**3 + 187. 3*z**3 Collect the terms in -6*l**2 + 6*l**2 - 33*l**3. -33*l**3 Collect the terms in -37 - 43 + 80 - 6*t. -6*t Collect the terms in 164*v**2 + 165*v**2 - 326*v**2. 3*v**2 Collect the terms in 1436*w**3 - 2886*w**3 + 1451*w**3. w**3 Collect the terms in -235*d + 468*d - 230*d. 3*d Collect the terms in -21*x + 44*x - 7*x**2 - 23*x. -7*x**2 Collect the terms in -18 - 4 - 17*x + 22. -17*x Collect the terms in 29*b**2 - 28*b**2 + 9*b**2. 10*b**2 Collect the terms in -r**2 + 0*r**2 - r**2 - 2*r**2. -4*r**2 Collect the terms in 88*c**3 - 85*c**3 + 3*c**2 - 3*c**2. 3*c**3 Collect the terms in -28*v**3 + 9*v**3 + 18*v**3. -v**3 Collect the terms in 30*n - 94*n + 45*n. -19*n Collect the terms in -3*w - 2 + 0*w + 0*w - 2*w. -5*w - 2 Collect the terms in -21*r**2 + 19 - 12 - 21. -21*r**2 - 14 Collect the terms in -3*j**2 + 3*j**2 - 40*j**3 - 55*j**3 + 94*j**3. -j**3 Collect the terms in -z - 57401 + 57401. -z Collect the terms in 67*j - 11*j**2 + 7*j**2 - 17*j**2 - 67*j. -21*j**2 Collect the terms in 0 - 9*o**2 - 66*o + 66*o + 4. -9*o**2 + 4 Collect the terms in -16*v - 17*v - 11*v. -44*v Collect the terms in -12*h + 27*h - 13*h. 2*h Collect the terms in 2*l + 6904572 - 6904572. 2*l Collect the terms in -2*u + 28*u - u - 1. 25*u - 1 Collect the terms in 66*h - 28*h - 25*h - 28*h. -15*h Collect the terms in 6*p**2 - p**2 - 4*p**2 - 19. p**2 - 19 Collect the terms in 33*t - 17*t - 27*t. -11*t Collect the terms in -3*c**2 - 7*c**2 + 23*c**2. 13*c**2 Collect the terms in 0*c - c - c. -2*c Collect the terms in 37*y - 1 + 1 - 59*y. -22*y Collect the terms in 0*p**2 - 12*p**2 + 5*p**2. -7*p**2 Collect the terms in 13 + 9 - 22 + a. a Collect the terms in -14607 - 4*q + 14607. -4*q Collect the terms in 186*h**2 + 195*h**2 - 391*h**2. -10*h**2 Collect the terms in -l**2 + 4198 - 4198. -l**2 Collect the terms in 5*q**3 + 4*q**3 + 5*q**3 + 6*q**3 - 15*q**3. 5*q**3 Collect the terms in 2*r**2 - 4*r**2 + 12*r**2. 10*r**2 Collect the terms in 0*n + 0*n + 364*n**2 - 218*n**2. 146*n**2 Collect the terms in 13*c**3 - 15*c**3 + 90*c**2 - 90*c**2. -2*c**3 Collect the terms in -3 + 17*j + 25*j + 3. 42*j Collect the terms in -21*o**3 - 4*o**3 + 0*o**3 - 23*o**3. -48*o**3 Collect the terms in 57*g - 112*g + 7*g**2 + 55*g + g**2. 8*g**2 Collect the terms in 11*x**2 - 2*x**2 + 2*x**2. 11*x**2 Collect the terms in 3*o - 5*o - o + 3*o - 2*o. -2*o Collect the terms in -6*h + 6 + 6*h + 3*h**2. 3*h**2 + 6 Collect the terms in 4*n - 3 + 25*n + 3. 29*n Collect the terms in -18*p**2 + 8*p - 15*p + 7*p. -18*p**2 Collect the terms in -1187 + 1187 - 193*i. -193*i Collect the terms in -3*t - 10*t + 20*t - 9*t. -2*t Collect the terms in -2*k - 19*k + 0*k. -21*k Collect the terms in 34*f - 120*f - 95*f. -181*f Collect the terms in -9 - 61*g + 10 + 4*g**3 + 61*g. 4*g**3 + 1 Collect the terms in 46*i + 3*i + 15*i. 64*i Collect the terms in -372*w + 3*w**3 + w**3 + 372*w. 4*w**3 Collect the terms in 98*z**2 + 100*z**2 + 85*z**2 - 381*z**2 + 95*z**2. -3*z**2 Collect the terms in -44 + 44 + 31*f**2 - 34*f**2. -3*f**2 Collect the terms in -12 + 15*a + 12 - 29*a + 7*a. -7*a Collect the terms in -85*m**3 + 13*m**2 - 13*m**2. -85*m**3 Collect the terms in -21*d**2 + 23*d**2 - 32*d**2. -30*d**2 Collect the terms in 1 + 7*h + 4 - 2 - 16*h. -9*h + 3 Collect the terms in 37*a + 45*a - 83*a. -a Collect the terms in -23*x**2 - x**3 + 4*x - 4*x. -x**3 - 23*x**2 Collect the terms in -263 + 263 + 4*v**2. 4*v**2 Collect the terms in -7*b**2 + b + 3*b - 7*b. -7*b**2 - 3*b Collect the terms in -39*h**2 + 39*h**2 - 55*h**3 + 56*h**3. h**3 Collect the terms in -7*n**3 - 5*n**3 - 2*n**3 + 11*n**3. -3*n**3 Collect the terms in 72*z**2 + 71*z**2 - 151*z**2. -8*z**2 Collect the terms in -17224*h**2 + 11*h**3 + 17224*h**2. 11*h**3 Collect the terms in -r**3 + 101 - 7*r + 7*r. -r**3 + 101 Collect the terms in -16*s + 28*s - 12*s + 5*s**3 - 10*s**3. -5*s**3 Collect the terms in -259*f**2 - 55*f + 55*f. -259*f**2 Collect the terms in 0*p**2 - 2*p + 2*p + 2*p**2. 2*p**2 Collect the terms in -5*h**3 - 5*h**3 + 12*h**3 - h**3. h**3 Collect the terms in -98*v**2 - 12*v**3 - 100*v**2 + 198*v**2. -12*v**3 Collect the terms in 22*p**2 - 8*p**2 - 10*p**2. 4*p**2 Collect the terms in -47 + 8*q + q - 34. 9*q - 81 Collect the terms in -t**2 - 837856*t + 837856*t. -t**2 Collect the terms in -4*f**2 + 3*f**2 + f**2 - f**2. -f**2 Collect the terms in k**3 + 8*k**3 - 16*k**3 + 9*k**3. 2*k**3 Collect the terms in -124 + 124 + 44*q. 44*q Collect the terms in -7762 + 7762 + 34*l. 34*l Collect the terms in -12*l**3 + 25*l**3 - 15*l**3. -2*l**3 Collect the terms in -2*a + 86*a + 156*a. 240*a Collect the terms in -27*w + 40*w**3 + 27*w. 40*w**3 Collect the terms in -4*k + 4*k - k**3 + 17*k**3. 16*k**3 Collect the terms in 11 - 11 + 1421*a. 1421*a Collect the terms in 23*t**3 - 42*t**3 + 36*t**3. 17*t**3 Collect the terms in 19 - 19 - 4*s - 101*s. -105*s Collect the terms in -85*f + 3 + 0 - 20*f. -105*f + 3 Collect the terms in 9*j**3 - 19*j**3 + 5*j**3 + 76*j. -5*j**3 + 76*j Collect the terms in -r - 414 - 338 + 752. -r Collect the terms in 519*s - 519*s + 6*s**2 - 4*s**2. 2*s**2 Collect the terms in 19*t**2 - 60103*t + 60103*t. 19*t**2 Collect the terms in -4*b**2 - 2*b**2 + 6*b**2 - 30*b**3. -30*b**3 Collect the terms in -9*x**3 - 145*x**2 + 145*x**2 + 10*x**3. x**3 Collect the terms in
{ "pile_set_name": "DM Mathematics" }
2 Expand 434*d**4 - 228*d**4 - 248*d**4 - d**4 + 2*d**2 - 2*d**2 + (-d - 4 + 4)*(5*d**3 - 4*d**3 + d**3) - 1075*d**3 + 1075*d**3 + 60*d**4. 15*d**4 Expand 279*d**3 + 6454*d**5 + 253*d**3 - 6440*d**5 + (3*d - 2*d**3 - 3*d)*(2*d**2 - 2*d**2 + 3*d**2). 8*d**5 + 532*d**3 Expand (-3 - 5 + 0 + (-6 + 2 + 3)*(2 + 3 - 4))*(-62 + 117 - 91)*(2*p**4 + p**4 + 0*p**4). 972*p**4 Expand (-4*h**4 - 5*h**2 + 5*h**2)*(-h - 3*h + 2*h)*(-1 + 4 - 1)*(-15 - 58 - 173). -3936*h**5 Expand (0*s - 2*s + 4*s)*(15 + 12 + 12)*(-8 - 5 + 1). -936*s Expand (-597*a + 1294*a - 5 + 3375*a + 5)*(-5 - 1 + 0 - 5 + 0 + 3 + (1 - 3 + 1)*(-4 + 3 - 1) - 1 - 3 + 3). -28504*a Expand (-2*r**2 + 2*r - 2*r)*(-r**2 + 2*r**2 + r**2) - 1 + 1 + r**4 + (0*r - 2*r + r)*(-102*r**3 + 51*r**3 - 188*r**3). 236*r**4 Expand 2*q + 3 - 3 + (7 + 10 - 5)*(-10 + 10 - 6*q) + (q - 3*q + 3*q)*(2 - 2 + 2) + (2*q + 4*q - 4*q)*(6 - 2 - 2) + (0 - 1 - 2)*(-2*q + 0*q + 0*q). -58*q Expand 147 - 147 - 536*m + (0*m - 4*m + 3*m)*(0 + 0 + 1) + 5*m - 5*m - 2*m. -539*m Expand (11*j - 57*j + 8*j - 9*j)*(57 - 57 + 5*j)*(-2*j + 3*j + 3*j). -940*j**3 Expand 13*h**3 + 6*h**3 - 22*h**3 + (-3*h + 3*h + h**2)*((-2*h + 0*h + 0*h)*(4 - 3 + 0) - h - 5*h + 4*h - 46 + 6*h + 46 + (-2*h + 0 + 0)*(4 + 3 - 3)). -9*h**3 Expand (-17 + 17 - l)*(1 + 13 + 1)*(-l - 3*l + 5*l). -15*l**2 Expand (-40*u**4 - 169*u**4 + 0*u**4)*(-2*u + 2*u + u) + (-3*u**4 + 6*u**4 + 0*u**4)*(19*u - 10*u - 17*u). -233*u**5 Expand (36 - 10 - w - 10)*(-1 + 2 + 1) - 1 + 1 - 18*w. -20*w + 32 Expand (-n + 5*n - 2*n - 4*n + 56)*(13 + 8 - 6). -30*n + 840 Expand -3*y**2 - 1 + 4*y**2 + 4 - 6*y**2 + 7*y**2 + 5*y**2 + (-7*y**2 - 6*y**2 - 2*y**2)*(-1 - 2 + 1). 37*y**2 + 3 Expand (1 + 0 + 0)*(2 + 1 - 5)*(2*h**4 + 70*h + 55*h + 122*h). -4*h**4 - 494*h Expand (-1 + 0 - 2)*(4132 + 188*x - 4132) + (-2 + 3 - 2)*(-x + 3*x - 5*x) + 4*x - 5*x - 2*x. -564*x Expand (4 - 1 - 2)*(3 - 1 - 1)*(-53 - x + 0*x + 45) + (2 + 15 + 23)*(4*x - x + 0*x). 119*x - 8 Expand (-2*t**2 + t**2 + 4*t**2)*((2 - 1 + 1)*(t + 2*t - t) + t + t - t + 2*t - 5*t + t + 0 - 6*t + 0 + 5*t - 2*t - 2*t). -6*t**3 Expand (0*y - 9*y**3 + 0*y)*(74 + 6*y**2 - 74) + (y + y - y**4 + 3*y)*(3*y - 5*y + 4*y). -56*y**5 + 10*y**2 Expand (p**4 + 5*p**4 - 2*p**4)*(-2 - p + 2) + (-66*p**3 - 47*p**3 + 7*p**3)*(5*p**2 - 2*p**2 - 5*p**2). 208*p**5 Expand (0*x**2 + 0*x**2 - 2*x**3)*(-2490*x**2 + 424*x**2 - 502*x**2). 5136*x**5 Expand (1 + 164*c + 68*c + 6*c)*(1 - 3 + 3). 238*c + 1 Expand (1 + 2 - 5)*(-a + 0*a + 2*a + (-49 - 62 + 198)*(10*a + a - 3*a)). -1394*a Expand (15*d - 9*d + 2 - 28*d - 2*d**2)*(-19*d + 26*d + 18*d). -50*d**3 - 550*d**2 + 50*d Expand (-945 + 745 - 3026)*(l - 2*l - l). 6452*l Expand (332*u**2 - 283*u + 283*u)*(u + u + 0*u + (5 + 1 - 5)*(5*u - 4*u + u) - u - 2 + 2 - 2*u + 3*u - 3*u). 332*u**3 Expand -4*a**2 - 2*a**5 + 4*a**2 + (3 + 4*a - 3)*(402 + 16*a**4 - 402) + 0*a**5 + 0*a**5 + 7*a**5. 69*a**5 Expand (3*p - 3*p**3 - 3*p + (-3*p**3 + 2*p**3 + 3*p**3)*(4 + 1 - 6) + 2*p**3 + 2*p**3 - 3*p**3)*(-p - 3 + 3) + p**3 - 42*p**4 + 2 + 33*p**4 + 24*p**4. 19*p**4 + p**3 + 2 Expand (37*a**5 + 17*a**5 + 69*a**5)*(-9 - 2 + 4). -861*a**5 Expand (46*i + 45*i - 33*i)*(2 + 0 + 0 + (4 + 4 - 5)*(-3 + 1 + 0)). -232*i Expand 48*o**4 - 169*o**4 + 54*o**4 + 90*o**4 - 36*o**4 - 46*o**4 + 4*o - 4*o - 2*o**4 + (-2 + 2 - o**4)*(0 - 3 + 2) - 2*o**4 + 2 - 2 - 3*o**4 - o**4 + 2*o**4. -64*o**4 Expand (-2*y - 2*y + 3*y)*(114 + 97 - 236). 25*y Expand ((-11 - 5 - 1)*(-w + 4*w - 2*w) + 2*w + w - 4*w)*(1 - 4 + 1 + 7*w**2). -126*w**3 + 36*w Expand 4*d + 38*d + 6*d + 3*d + d - 3*d + (-2 + 1 - 3)*(-2*d + 0*d + 4*d) + 5*d + 0*d - 2*d. 44*d Expand (-3*b + 7*b - 2*b)*(2*b - b - 2*b) + 3*b - b**2 - 3*b + (202*b + 10599 + 6*b**2 - 10599)*(-1 + 1 + 1). 3*b**2 + 202*b Expand (75*f - 44*f + 5*f)*(-5 + 0 + 0)*(-2*f + 3 - 3). 360*f**2 Expand -2*l**4 + 28*l**4 + l**2 - 2*l**2 + (13*l**3 - 83*l**3 + 3*l**3)*(0 - l + 0). 93*l**4 - l**2 Expand -10*u - 17*u - 12*u - 14*u - 15*u + (-12 + 3 + 2)*(0*u - u + 3*u). -82*u Expand (-3*a - 3 + 3)*(-5258 - 1836 - 3144 - 5393 - 5973 - 281). 65655*a Expand (1070731 - 535357 - 535368 + 112*j**2 - 14*j)*(-4*j + 4*j + 2*j). 224*j**3 - 28*j**2 + 12*j Expand (20*v**2 + 116*v - 116*v)*(71 - 92*v**3 - 71) + (-3*v + 5*v - 3*v)*(0*v**4 + 2*v**4 - 4*v**4). -1838*v**5 Expand (73*b**2 - 189*b**2 - 3*b**2)*(-2*b**2 - 7 + 7). 238*b**4 Expand (-s - 4 + 4)*(s**3 - s**4 - s**3) - 15563*s**5 - 4*s**2 - 4*s**2 + 8*s**2 - 11209*s**5. -26771*s**5 Expand (7 + 23 - 10 - 5)*(m + 6*m - 4*m). 45*m Expand (-n - 4*n + 2*n)*(-3*n + 0*n + 8*n)*(-7 - 9 + 17). -15*n**2 Expand (v**2 + v**2 + 0*v**2)*(-1514 - 5085 + 933). -11332*v**2 Expand (10 + 0 + 7)*(5*g - 3*g + 0*g - 7*g**2). -119*g**2 + 34*g Expand (0*h**3 - 3*h**3 + 4*h**3)*(934*h - 412*h + 302*h) + (3 - 3 - 2*h**2)*(-h + h - 2*h**2). 828*h**4 Expand -1546 + 172*b**4 + 1546 + 9*b**2 - 9*b**2 + 4*b**4 + (0*b - b + 3*b)*(b**3 + 2*b**3 - b**3) - 1 + b**4 + 1. 181*b**4 Expand (2*g**2 + 2 - 2)*(g - 4*g + g)*(2*g - 4*g - 2*g)*(52 - 133 - 183). -4224*g**4 Expand (41*j + 87 - 87 + 2*j - 3*j + 2*j + 0*j + 2*j + 0*j + (-2 - 2 + 2)*(0 + 2*j + 0) - 8*j + j + 0*j)*(-5 - 2 + 3). -132*j Expand (-406*q**2 - 112*q**2 + 306*q**2)*(q**3 + 603*q**2 - 2*q**3 - 601*q**2). 212*q**5 - 424*q**4 Expand 0*t - t**3 + 0*t + (-2*t**2 - t**2 + 5*t**2)*(-1 + t + 1) + 115*t**2 - 115*t**2 + 9*t**3 + (1 + 0 + 1)*(-2*t**3 + 0*t**3 + t**3) - 313 + 3*t**3 + 313. 11*t**3 Expand (2*q - q + 0*q)*(-19 + 4 - 1)*(0*q + 5*q - q). -64*q**2 Expand (1011*j - 121*j + 692*j - 179*j)*(3*j - 4*j + 2*j). 1403*j**2 Expand -2222*a + 747*a - 1516*a + 1 - 1 + a + (0*a + 0*a + a)*(2 + 4 - 5) + 3*a + 0*a - 2*a. -2988*a Expand -4*r**3 + 3*r**2 - 3*r**2 + (-110*r**3 + 301*r**3 - 640*r**3)*(-3 - 2 + 3). 894*r**3 Expand -1459*q + 54*q**3 + 2164*q + 3366*q - 55*q**3 + (2*q**2 + q**2 - 2*q**2)*(q - 3*q + q). -2*q**3 + 4071*q Expand (81 + 20 + 27)*(4 - 3 + 2)*(2*h - 3*h - h). -768*h Expand (-6 + 7 - 3)*(-2*c - 2*c + 3*c)*(-14*c**2 + 32*c**2 + 112*c**2). 260*c**3 Expand (-5*u + 3*u - 2*u)*(3*u**2 - u**2 + 0*u**2) - 286 + 58*u**3 - 32*u**3 - 24*u**3. -6*u**3 - 286 Expand 0*k**5 - 2*k**5 + 9*k**5 + (-3*k**5 - k**5 + 5*k**5)*(1 + 1 - 1) + 41*k**5 - 31*k**4 + 31*k**4. 49*k**5 Expand -68*k**4 + 3*k - 10 - 7 + 66*k**4 + (4*k + 39*k - 19*k)*(0*k**2 + 0*k**2 + k**3). 22*k**4 + 3*k - 17 Expand (z**2 + 2*z**2 + z**2)*(0*z**2 + 2*z**2 + 0*z**2)*((0 + 0 + 2)*(-1 - 1 - 9) - 4 + 10 + 30). 112*z**4 Expand (0*i - 2*i + 4*i)*(2 - 2 - 6*i) - 393*i**2 + 43*i**2 - 170*i**2. -532*i**2 Expand (-869 - 1389 - 1859 - 758)*(2 - 2 + 2*x**2 + (-x + x - x)*(-2*x + 4*x - 4*x)). -19500*x**2 Expand (w**5 + 0*w**5 - 3*w**5)*(146 + 206 - 91)*(0 - 4 + 3). 522*w**5 Expand (600*q**2 - 600*q**2 + 57*q**3)*(-q + 0*q + 3*q) + 43*q**4 + 548*q**2 - 548*q**2. 157*q**4 Expand ((-2 - 3 + 7)*(3*d + 4*d - d) + 3*d - 5*d + d)*(271 - 63*d - 271). -693*d**2 Expand (-1246*u**2 + 2404*u**2 - 785 - 1162*u**2)*(2*u - 2*u + 2*u**2)*(-2*u - u + u - 1 + 1 + u - 3*u + u + 4*u + (-1 - 1 + 3)*(u - u + u) - 2*u + 2*u + u). -24*u**5 - 4710*u**3 Expand 5*b - 37*b + 26*b + (2 + 0 + 0)*(-2*b + 2 - 2) - 2*b - 3*b + 0*b + (0 + 0 + b)*(7 - 3 - 1). -12*b Expand (120*w**2 - 51*w**2 - 12*w**3 - 58*w**2)*(-w - 2*w + 4*w)*(2 + 5 + 0)*(-2*w - 14 + 14). 168*w**5 - 154*w**4 Expand (-c**3 + 0*c**3 - 2*c**3)*(1563 - 1214 + 1944). -6879*c**3 Expand (-3786 + 413*k**5 + 3786)*(4 - 4 - 4)*(1 - 1 + 2). -3304*k**5 Expand (-4*y**2 + 3*y**2 + 3*y**2)*(20*y - 29 + 117 + 116*y + 38*y + 36). 348*y**3 + 248*y**2 Expand -65 - v**2 + 105 - 65 - 8*v - 2*v**2 - 2*v**2 - v**2 + (2*v - 4 + 4)*(0*v - 3*v + 2*v). -8*v**2 - 8*v - 25 Expand (-5*l - l + 4*l)*(3*l + l - 6*l) - 26*l**2 + 60*l - 60*l - 1 + 3*l**2 + 1 - 2*l**2 + 6*l**2 - 3*l**2. -18*l**2 Expand (-2*v + 7*v - 3*v + 3*v - v - v + (0*v + 2*v - v)*(1 + 3 - 2) + 4*v - v - v)*(88870 + 63*v - 88870). 441*v**2 Expand (2*z + 2 + 5 - 1 - 5)*(-829*z + 829*z - 400*z**2). -800*z**3 - 400*z**2 Expand (3*l + 14*l - 4*l)*(0*l**2 - 3*l**2 + l**2) + (-l + l - l)*(-3*l + l**2 + 3*l) + 31*l**3 - 195 + 195. 4*l**3 Expand (57*a - 103 + 103)*(64*a + 11*a + 23*a)*(-2 + 5 - 2). 5586*a**2 Expand (-k + 4*k - 2*k)*(490*k**3 + 10226*k - 10226*k). 490*k**4 Expand (1 + 4 - 3)*((3 - 5 + 3)*(-1 - 3 + 0)*(0*h - 41*h - 22*h) - 3*h + 3 - 3). 498*h
{ "pile_set_name": "DM Mathematics" }
is r rounded to the nearest integer? 8 Let i = -23.47998175 - -23.48. What is i rounded to 5 dps? 0.00002 Let b = -5525921 + 14028246. Let l = b + -12302325. What is l rounded to the nearest 1000000? -4000000 Let r = 3050.531 + -3054. What is r rounded to one dp? -3.5 Let p = 133.6126 - 136.612644. Let t = p + 3. Round t to five decimal places. -0.00004 Let s = -2085.99999053 + 2086. What is s rounded to 6 decimal places? 0.000009 Suppose -2*z + 30492 = 5*z. Let g = -14202 - -5846. Let h = g + z. Round h to the nearest ten thousand. 0 Let o = 0.477 - 0.219. Let r = o - 16.958. Round r to the nearest integer. -17 Suppose -5*a - 19700421 + 90385421 = 0. Round a to the nearest 1000000. 14000000 Suppose 8*f - 28 = -12. Suppose -3*t - f*v - 728 = 6, 0 = -4*t + v - 986. What is t rounded to the nearest 100? -200 Let l be (-100)/((-5)/(-5))*-17500. Round l to the nearest one hundred thousand. 1800000 Let i = 0.216 + -0.119. Let u = 0.967 - i. What is u rounded to one decimal place? 0.9 Suppose 0 = -0*i - 3*i. Suppose i = w + 4, -f + 0*f = -3*w - 582. Round f to the nearest one hundred. 600 Let u = -36.8 + 33. Let o = 3.755 + u. Round o to two decimal places. -0.05 Let v = 0.008 - 8.008. Let y = v - -8.071. What is y rounded to two decimal places? 0.07 Let o = -0.07 - -0.233. Let x = o - -3.187. Round x to one decimal place. 3.4 Let m = 455 - 450.14. What is m rounded to the nearest integer? 5 Let i = -32 + 37. Suppose -5*j = 4*r - 666, -i*j + 810 = 2*r + 152. Round j to the nearest one hundred. 100 Suppose 0 = 12*q + 12144 + 58320. What is q rounded to the nearest 1000? -6000 Let p = -14.787 + -0.653. Let x = -15 - p. Round x to one decimal place. 0.4 Let m = 0.008 + -0.858. Let i = 0.8196 + m. Round i to three decimal places. -0.03 Let r be (21/(-12)*2 + 1)*-232. Suppose 1324 = -3*a - 3506. Let g = r + a. What is g rounded to the nearest one hundred? -1000 Suppose -2253 - 18997 = 5*l. Round l to the nearest one thousand. -4000 Let u = 641 - 640.99149. What is u rounded to three decimal places? 0.009 Let k = 1872763834 - 1872766027.1892912. Let g = k - -2186.1893. Let z = -7 - g. What is z rounded to six decimal places? -0.000009 Let w = 22261748734 + -22261748635.99999911. Let c = w + -98. What is c rounded to 7 decimal places? 0.0000009 Let y = -4 - -3.82. Let p = -0.22 + y. Let g = p - -0.4001. Round g to four dps. 0.0001 Suppose -m + 14 = -2*m - 5*o, -m + 3*o + 18 = 0. Let t(c) = 12918*c**3 - 9*c**2 + 5*c + 6. Let i be t(m). What is i rounded to the nearest one hundred thousand? 2800000 Let q = 87 + -202. Let t = q - -115.0000158. Round t to 6 decimal places. 0.000016 Let o = -246.0000279 + 246. What is o rounded to six dps? -0.000028 Suppose 127472 = 2*v - 996592. Suppose v = -2*z + 76212. Let g = z + 394910. Round g to the nearest ten thousand. 150000 Let t(y) = y**3 + 5*y**2 - 7*y - 8. Let f be t(-6). Let o(m) = 2*m. Let k be o(f). Let g be k/(0 + 8/(-164)). Round g to the nearest ten. 80 Let f(t) = -1054*t**3 + 5*t**2 - 5*t - 8. Suppose -5*u - 2*r + r = -1, u + 2*r - 2 = 0. Let p be u + -4 + -1 + -3. Let j be f(p). Round j to the nearest 100000. 500000 Let k be (-20)/(((-23)/3450)/((-752)/(-6))). Round k to the nearest 100000. 400000 Let d = 384 + -383.9747. What is d rounded to 3 decimal places? 0.025 Let s = 30.48 - -0.52. Let x = s + -11. Let b = x + -24.4. Round b to zero dps. -4 Let b = -2477.60058 - -2477.4. Let z = 0.2 + b. What is z rounded to four dps? -0.0006 Let p = -8.9500922 - -8.95. Round p to 5 dps. -0.00009 Let n = 182.393 - 181.5. Let f = -4.3 + 3.5. Let r = f + n. What is r rounded to 2 decimal places? 0.09 Suppose -86*s - 148960 = -30*s. Round s to the nearest one hundred. -2700 Let k = -329.94854 + 330. Round k to 3 decimal places. 0.051 Let t = 12 - -16. Let n = -27.69 + t. What is n rounded to one decimal place? 0.3 Let b be 17/((-204)/(-16000))*465. What is b rounded to the nearest one million? 1000000 Let i = -101 + 7. Let f = i - -94.00118. Round f to 4 decimal places. 0.0012 Let d(r) = r**2 + 4*r + 3. Let q be d(-4). Suppose f - a = -2*f - 363002, q*a - 6 = 0. Round f to the nearest 10000. -120000 Let v = 210.999964 - 211. Round v to 5 dps. -0.00004 Let m = 1118.99981 + -1119. What is m rounded to 4 decimal places? -0.0002 Suppose 5*b = 5*q - 305578 + 1444733, -b + 2*q = -227834. Let r = -53226 - -92398. Suppose b = 3*h - r. What is h rounded to the nearest ten thousand? 90000 Let x = -1310197380.000623 - -1310196766. Let l = x + 614. What is l rounded to five decimal places? -0.00062 Let n be (51/12)/((-13)/9880). What is n rounded to the nearest 1000? -3000 Let c = -271.000000174 + 271. What is c rounded to 7 decimal places? -0.0000002 Let u(q) = -274*q**3 - 133*q**3 + 2*q + 3*q - 6*q**2. Let l(s) = -8*s + 197. Let v be l(24). Let r be u(v). Round r to the nearest ten thousand. -50000 Let w = -5 - -9.6. Let k = 0.4 + w. Let b = k - 4.996. What is b rounded to three decimal places? 0.004 Let q = -6575 + 6574.9999991162. Round q to 7 decimal places. -0.0000009 Suppose 0 = p - 2 - 3. Let n be (-6)/(-1)*p/(-10). Let t be (-525)/(n*4/(-41600)). Round t to the nearest 100000. -1800000 Let h = -21 + 12. Let x = 9.1 + h. Let n = -0.0999982 + x. What is n rounded to 6 dps? 0.000002 Let v = 29 - 42. Let i = v + 12.999966. Round i to 5 dps. -0.00003 Let d = -592 - -592.0002384. What is d rounded to 5 dps? 0.00024 Suppose 3*p = 6 - 3. Let h be (8 + -8)/(1/p). Suppose h*g + 3*g - 10200 = -3*o, 0 = g. Round o to the nearest one thousand. 3000 Let q(s) be the first derivative of 8/3*s**3 + 4*s - 2*s**2 + 9. Let a be q(2). What is a rounded to the nearest 10? 30 Suppose -5*s + 2 = -23, 0 = -4*x - 5*s - 12055. What is x rounded to the nearest one hundred? -3000 Let g = -158 + 66. Let z = g + 97.1. Round z to 0 decimal places. 5 Let m = 0.46 - 0.461. Let z = 0.879 - m. What is z rounded to one dp? 0.9 Let i = -5212 + 5212.000005274. What is i rounded to seven decimal places? 0.0000053 Let p = 758.99999044 + -759. What is p rounded to 6 decimal places? -0.00001 Let b = 3.769995768 + -3.77. What is b rounded to 7 decimal places? -0.0000042 Let x = 437.0708 + -437. Let k = x + -0.065. Round k to three dps. 0.006 Let p = 76090 + -191710. Let o be p/(-225) + (-4)/(-30). Suppose -2*a - o = 4*r, 0 = 3*r - 5*a - 171 + 576. Round r to the nearest one hundred. -100 Suppose 0 = 2*a - 3*s + 5037, -4*a + 2*s = 691 + 9403. What is a rounded to the nearest 100? -2500 Let a = -12340019.4500057 - -12340020. Let v = 0.55 - a. Round v to six decimal places. 0.000006 Let s = 2576713 - 2576711.8900054. Let n = s - 1.11. What is n rounded to 6 dps? -0.000005 Suppose -11*p + 9*p = -37082. Let u = 8741 - p. What is u rounded to the nearest one thousand? -10000 Let n = 156.0994 + -156. Let r = -0.0993441 + n. Round r to five decimal places. 0.00006 Let j = 8 + 9. Let z = -16.904 + j. Round z to 2 decimal places. 0.1 Suppose -2*g + 7*g - 4 = 2*p, -5*g - p = 2. Suppose 4*s - s = g. Let f be -15*(s - (-280)/(-12)). Round f to the nearest 100. 400 Let h(w) = 4*w - 26. Let u be h(7). Let x be (490/4)/(-1*u/80000). Round x to the nearest one million. -5000000 Let u = 5993 + -6253.7. Round u to the nearest 10. -260 Suppose -5*l = 5*k - 2*l, -4*k - l = -7. Let w be k - ((2 - -4499998) + 3). What is w rounded to the nearest 1000000? -5000000 Let m = -227 - -157. Let t = m - -70.00073. Round t to 4 dps. 0.0007 Let a = -272 + 357. Let g = -1861 + 1777.36. Let t = a + g. Round t to one dp. 1.4 Let z = 1.76 + -0.75. Let w = -1.010114 + z. What is w rounded to five decimal places? -0.00011 Let z = -2.30000332 - -2.3. Round z to seven decimal places. -0.0000033 Let h = -55 - 89. Let n be 250/((11/h)/(-11)). Round n to the nearest 10000. 40000 Let i = 1.3 - 0.4. Let f = 0.87 - i. Let o = f + -0.03. What is o rounded to 2 decimal places? -0.06 Let n = 2818 + -2817.99983848. Round n to six dps. 0.000162 Let k = -0.53 + 106.53. Let a = k - 106.0000063. Round a to six dps. -0.000006 Let z be (0 + 1 + -6)*-82. Suppose -2*c = 4752 - z. Let q = 1371 + c. Round q to the nearest one thousand. -1000 Let l(w) = -438*w**2 - 25*w + 4. Let y be l(-4). What is y rounded to the nearest 100? -6900 Let v be (-12 + 14)/(0 - 1). Let s = 6 + v. Suppose -s*x = -0*x. Round x to 5 dps. 0 Le
{ "pile_set_name": "DM Mathematics" }
d derivative of -m**8/56 + 16*m**6/15 - m**4/4 - 2*m**3 + 2*m - 15. Find the third derivative of s(h) wrt h. -120*h**3 + 768*h What is the third derivative of v**2 - 4*v**2 + 11*v**3 + 2*v**2 wrt v? 66 Let n(u) be the first derivative of 2*u**4 + 4*u**3/3 + 6. Find the third derivative of n(k) wrt k. 48 Suppose -4*p + 26 = 5*z - 16, 0 = z - 2*p. Find the third derivative of -20*n**4 + 2*n**z + 3*n**2 + 20*n**4 wrt n. 240*n**3 Suppose -6*s + 3*i + 24 = -3*s, -i = s. What is the second derivative of -3*r + r**4 + 5*r**4 - s*r**4 wrt r? 24*r**2 Let o(v) be the third derivative of 3*v**2 + 0 + 0*v**3 - 1/4*v**4 + 0*v**5 + 0*v + 1/30*v**7 + 0*v**6. Find the second derivative of o(l) wrt l. 84*l**2 Find the second derivative of -3*w**2 - 5*w - 37 + 37 wrt w. -6 Let f(s) be the second derivative of -3*s**7/7 - 4*s**3/3 + 11*s. Find the second derivative of f(h) wrt h. -360*h**3 Let t(h) be the first derivative of 2*h**2 - 21*h + 15. Find the first derivative of t(g) wrt g. 4 Let c(v) be the third derivative of -v**5/60 + v**4/12 - 19*v**3/3 - v**2 + 6*v. What is the derivative of c(b) wrt b? -2*b + 2 Let v(c) = 7*c**2 - 6*c + 6. Let a(p) = p**3 - p + 1. Let m(f) = -6*a(f) + v(f). Find the third derivative of m(d) wrt d. -36 Let p(g) = -45*g**3 + 113*g**2 + 5*g - 5. Let b(r) = -67*r**3 + 170*r**2 + 7*r - 7. Let c(l) = -5*b(l) + 7*p(l). Find the third derivative of c(d) wrt d. 120 Let a(i) be the first derivative of -6*i**5/5 + 4*i**3/3 - 5. What is the third derivative of a(z) wrt z? -144*z Let g(p) be the third derivative of -11*p**8/84 + p**5/12 - p**4/12 - 6*p**2 - 4*p. What is the third derivative of g(v) wrt v? -2640*v**2 Let a be 1*0/(5/(-1)). Let d(m) be the second derivative of 0*m**2 + 1/30*m**6 + 0 + m + a*m**5 + 0*m**4 + 1/2*m**3. Find the second derivative of d(b) wrt b. 12*b**2 Suppose -3*s - 5*w = 14, -4*w + 4 = s + 11. Let t be s/15 - 31/(-5). Find the third derivative of -y**2 - 8*y**6 + 11*y**t - 3*y**2 wrt y. 360*y**3 Let d be -261*(8/4)/(-6). Find the third derivative of 5 + 8*x**3 - 5 + 88*x**2 - d*x**2 wrt x. 48 Let b(z) = 6*z**4 - 4*z**3 + 3*z**2 + 4*z - 4. Let c(g) = g**3 + g**2 - g + 1. Let r(m) = b(m) + 4*c(m). Find the third derivative of r(d) wrt d. 144*d Let m(i) = 2*i**4 + 2*i**3 + 2*i**2 + 2*i - 2. Let g(z) = z**5 + z**4 + z**3 + z**2 - 1. Let w(d) = -4*g(d) + 2*m(d). Find the second derivative of w(n) wrt n. -80*n**3 Find the second derivative of 10*r**3 - 5*r + 0*r - 4*r**3 + 0*r wrt r. 36*r Differentiate -16 + 114*j**4 - 39*j**4 - 16*j**4 - 38*j**4 with respect to j. 84*j**3 Let g(z) = -3*z - 3. Let x be g(-2). What is the second derivative of w**3 - 4*w**x - 4*w + 0*w wrt w? -18*w Let r(m) be the second derivative of -1/8*m**8 + 0*m**5 + 0*m**7 + 0*m**6 + 0 + 7*m + 0*m**2 + 0*m**3 + 1/2*m**4. Find the third derivative of r(o) wrt o. -840*o**3 Let k(w) be the first derivative of 3*w**2/2 - 2*w + 6. What is the derivative of k(q) wrt q? 3 Let g(y) be the second derivative of -y**6/60 - y**3/6 - 3*y**2/2 - y. Let w(u) be the first derivative of g(u). What is the derivative of w(s) wrt s? -6*s**2 Suppose -y + 0*y + 6 = 0. Let k be y/4*(-4)/(-2). What is the third derivative of -k + 3 - q**2 + q**4 wrt q? 24*q Let y(r) be the first derivative of -3*r**5 + 20*r - 34. What is the first derivative of y(o) wrt o? -60*o**3 Let o(i) = 6*i**2 + 10*i + 26. Let a(g) = g**2 + g + 1. Let m(u) = -10*a(u) + o(u). What is the derivative of m(s) wrt s? -8*s Let l(s) be the third derivative of -s**7/1680 - s**6/180 - s**5/60 - 2*s**2. Let h(m) be the third derivative of l(m). Find the first derivative of h(j) wrt j. -3 Let z = 25 + -21. What is the third derivative of -2 + 0 + 2 - 3*a**2 + z*a**3 wrt a? 24 Let j(n) = -17*n**2 - 4*n - 22. Let b(k) = -18*k**2 - 3*k - 23. Let d(s) = 4*b(s) - 3*j(s). Differentiate d(c) wrt c. -42*c Let j = 18 - 14. What is the second derivative of -4 + j*t + 4 + 6*t**3 + t**3 wrt t? 42*t Find the first derivative of j**2 + 8 + 215*j - 215*j wrt j. 2*j Let p(x) = 5*x**2 - 11*x - 4. Let b(z) = -4*z**2 + 12*z + 5. Let m(y) = -4*b(y) - 5*p(y). What is the second derivative of m(n) wrt n? -18 Let a(z) = -48*z**2 - 8. Let m(g) = g**2. Let i(b) = -a(b) - 40*m(b). Differentiate i(d) with respect to d. 16*d Let x(s) = s**3 - 9*s**2. Let k(n) = -4*n**2. Let a(g) = 14*k(g) - 6*x(g). Find the third derivative of a(r) wrt r. -36 Let h(k) be the second derivative of 0*k**5 + 2/21*k**7 + 0 - 7/6*k**3 + 2*k + 0*k**4 + 0*k**6 + 0*k**2. What is the second derivative of h(o) wrt o? 80*o**3 Let q(m) = m**4 - m**3 - m**2 - m + 1. Let r(i) = -7*i**6 + 2*i**4 - 2*i**3 - 2*i + 2. Let j(c) = 2*q(c) - r(c). What is the third derivative of j(b) wrt b? 840*b**3 Differentiate 101*y**4 - 8 - 188*y**4 + 90*y**4 wrt y. 12*y**3 Let w(f) = -3*f**4 - 2*f**3 + f**2 + 2. Let t(u) = 9*u**4 + 7*u**3 - 4*u**2 - 7. Let b(i) = 2*t(i) + 7*w(i). Find the third derivative of b(l) wrt l. -72*l Suppose 2 = 10*y + 2. Let m(h) be the second derivative of 0 + 0*h**2 - 3/20*h**5 + y*h**4 - 1/2*h**3 + h. Find the second derivative of m(g) wrt g. -18*g Let v(c) be the first derivative of -c**5/30 + c**3/2 + c**2 - 2. Let l(k) be the second derivative of v(k). Differentiate l(d) with respect to d. -4*d Let z be (-7)/((-2 - -1)/(-1)). Let f = 9 + z. Find the third derivative of 3*m**6 - 3*m**6 - 5*m**6 + f*m**2 wrt m. -600*m**3 Let l(f) be the first derivative of -4*f**6/3 + f**3 - 4. What is the third derivative of l(c) wrt c? -480*c**2 Let h(v) be the third derivative of -v**5/120 - v**4/8 + 2*v**3/3 + 4*v**2. Let a(f) be the first derivative of h(f). Find the first derivative of a(d) wrt d. -1 What is the second derivative of -a - 26*a**2 + 9*a**5 + 26*a**2 - 32*a**5 wrt a? -460*a**3 Suppose 0 = -3*n + 4*z, -2*z = n - 0*n. Suppose 6*v - v - 30 = n. What is the third derivative of -2*q**2 + 4*q**2 + 2*q**v - q**2 wrt q? 240*q**3 Find the first derivative of 3*g**2 - 6 - 4*g**2 + 4*g**2 wrt g. 6*g Let a(y) = 6*y + 3. Let m be a(4). Let f be 4/18 + 48/m. What is the third derivative of -v**f - 3*v**4 + 4*v**4 + 3*v**2 wrt v? 24*v Let z be (-104)/(-40) - (-2)/5. Suppose -z*s + 4 = -s + 2*x, -4 = -3*s - 5*x. Find the first derivative of 1 + 3*o - s + 0*o wrt o. 3 Let b(m) = m**2 - m**2 - 3*m + 1 - m**4. Let d(w) = 1 - 1 - w. Let f(o) = b(o) - 3*d(o). What is the first derivative of f(s) wrt s? -4*s**3 Let s = 5 + -5. Find the second derivative of -4*a**4 + a + 3*a + s*a**4 + 6*a**4 wrt a. 24*a**2 Let l(r) = -r**3 + r**2 - r + 7. Let i be l(0). Suppose -2*j = 3*p - 7, -p + 2 + i = -j. What is the second derivative of z**p + 2*z**5 + 2*z - 6*z wrt z? 60*z**3 Suppose 8 = 5*r - 4*r. Let a = 10 - r. Find the third derivative of -t**5 - 2*t**5 + 5*t**5 - t**a wrt t. 120*t**2 Let r = 8 - 5. Let q(g) = -6*g**3 - 2*g**2 + 5. Let j(x) = -3*x**3 - x**2 + 3. Let t(h) = r*q(h) - 5*j(h). Find the third derivative of t(s) wrt s. -18 Let b(q) be the first derivative of q**6/10 - q**2 - 4*q - 1. Let g(k) be the first derivative of b(k). Differentiate g(r) with respect to r. 12*r**3 Let h be -1*(2 - 0/2). Let n be 8*h/(-4) + -1. What is the first derivative of -4*u**2 + 2 - n*u**2 + 4*u**2 wrt u? -6*u Let g be (1/(-3))/((-2)/12). Find the second derivative of 5*b**2 + b**3 - 3*b - 5*b**g + 2*b wrt b. 6*b Let h(f) be the third derivative of 2*f**7/35 + 4*f**5/15 - 8*f**2. Find the third derivative of h(y) wrt y. 288*y What is the third derivative of 36 - 15*c**2 - 36 - 7*c**2 + 16*c**4 wrt c? 384*c Let u be 2 + 0 + 0 - 20. Let l be 1/(-3) - 78/u. What is the third derivative of 2*n**2 - 2*n**4 - n**l - 4*n**2 wrt n? -72*n Suppose 7*t - 20 = 3*t. Find the second derivative of 9*x**5 - 2*x - 2*x - t*x**5 wrt x. 80*x**3 Let p(m) be the second derivative of -2*m**5/5 - m**4/3 - 14*m. What is the third derivative of p(z) wrt z? -48 Let n(j) be the first derivative of j**5/120 - 5*j**4/24 + j**3/3 + 4. Let k(h) be the third derivative of n(h). Find the first derivative of k(x) wrt x. 1 Suppose -3*s = 2*s. Let w(l) be the third derivative of s*l + 1/24*l**4 - 1/3*l**3 + 0 - l**2. Find the first derivative of w(d) wrt d. 1 Let y(q) = 22*q**5 + 6*q**4 + 9*q**2 - 6. Let v(p) = 23*p**5 + 5*p**4 + 9*p**2 - 5. Let u(a) = -6*v(a) + 5*y(a). What is the third derivative of u(n) wrt n? -1680*n**
{ "pile_set_name": "DM Mathematics" }
+ 3*m**2 - 1404 + m**2 - 15208*m. 4*(m - 1)*(m + 351) Let g be ((-2 - -1) + 3)*3/(-2). Let d be (3/12)/(0 - g/24). Solve -135 + 4 + 23 - 3*u**d - 36*u = 0 for u. -6 Let a(r) = -r**2 + 22*r - 38. Let b be a(20). Let q = -7210 - -7210. Find n, given that 0 + 1/4*n**3 + q*n - 1/4*n**b = 0. 0, 1 Let f be 21/155 + 8976/744 + -12. Factor 0*t + f - 1/5*t**2. -(t - 1)*(t + 1)/5 Let d = -46199/3 + 15404. Let a(z) be the second derivative of 28*z + 0 + d*z**3 + 1/12*z**4 + 169/2*z**2. Determine y so that a(y) = 0. -13 Find a, given that 2/5*a**2 - 2/3*a + 6/5*a**3 + 0 - 14/15*a**4 = 0. -5/7, 0, 1 Determine i so that -108*i**4 + 152*i**2 - 6008*i + 2044*i**3 + 6008*i = 0. -2/27, 0, 19 Let w be -8 - 175/(-21) - 132/(-9). Let u(j) = -9*j + 137. Let z be u(w). Factor 0 - 1/2*f**z + 1/2*f**4 - 1/2*f + 1/2*f**3. f*(f - 1)*(f + 1)**2/2 Let p(q) = 17*q + 20. Let j be p(-1). Let n(u) be the second derivative of -1/6*u**4 + 2*u**2 + 1/3*u**j + 13*u + 0. Factor n(s). -2*(s - 2)*(s + 1) Let q = -31251327 + 656458213/21. Let s = q + -8586. Factor -2/21*r**2 + s*r - 200/21. -2*(r - 10)**2/21 Suppose -6*l - 24 = -36. Suppose -3*d - 4*o = o - 25, -l*o = 5*d - 10. Determine i so that d + 0*i**4 - 3/2*i**3 + 0*i + 3/2*i**5 + 0*i**2 = 0. -1, 0, 1 Let y be (3 - (-28)/16) + 3/(-4). Suppose -10 = -2*p, -5*n = -p - y*p. Determine i so that 0*i + 11*i**2 - 2*i**4 + i**n - 3*i**2 - 6*i**2 - i = 0. -1, 0, 1 Find k, given that -515/3*k**2 - 2420/9 - 2/3*k**4 + 4928/3*k - 233/9*k**3 = 0. -22, 1/6, 5 Let t(s) be the first derivative of 3*s**5/10 - 9*s**4/8 + 3*s**3/2 - 3*s**2/4 + 997. Factor t(q). 3*q*(q - 1)**3/2 Let y(l) be the third derivative of 17*l**5/540 + 23*l**4/216 + l**3/9 - 2*l**2 - 618*l - 2. Let y(h) = 0. Calculate h. -1, -6/17 Suppose 43*w + 479 = 113*a - 111*a, -61 = -2*a + 5*w. Factor 12/7*t**2 + 2*t - 2/7*t**a + 0. -2*t*(t - 7)*(t + 1)/7 Let d(h) be the second derivative of -h**4/42 + 248*h**3/21 - 105*h**2 + 10*h + 79. What is v in d(v) = 0? 3, 245 Find x such that -2592/7 - x**5 + 1648/7*x**2 + 8784/7*x - 250/7*x**4 - 2168/7*x**3 = 0. -18, -2, 2/7, 2 Let k(n) be the first derivative of n**6/1080 + n**5/45 + 5*n**4/24 - 10*n**3/3 - 34. Let p(q) be the third derivative of k(q). Factor p(s). (s + 3)*(s + 5)/3 Let o(y) be the second derivative of -5*y**4/12 - 225*y**3 + 4095*y**2/2 - 6350*y. Factor o(w). -5*(w - 3)*(w + 273) Let k(x) = -4*x**2 + 55*x - 256. Let c(j) = -j**2 + 14*j - 64. Suppose 0 = -24*q + 38 + 10. Let m(u) = q*k(u) - 9*c(u). Factor m(i). (i - 8)**2 Let u be 3*((-952)/(-105) + (-6)/15). Factor -u*x**4 - 8*x**2 + 31*x**4 - 6*x**3 + 7*x - 3*x - x**3. x*(x - 2)*(x + 1)*(5*x - 2) Suppose 34*n - 2*r = 38*n - 31208, -3*n + 5*r = -23419. Solve -54*q**2 + n*q + q**3 - 132651 - 49*q**2 - 50*q**2 = 0 for q. 51 Determine u so that -7/3*u**4 - 8/3*u**2 + 16/3 + 16/3*u - 16/3*u**3 - 1/3*u**5 = 0. -2, 1 Suppose 5*a - 12240 = -12230. Factor 1/4*z**a + 13/2 + 15/4*z. (z + 2)*(z + 13)/4 Let h(k) be the second derivative of k**6/30 - 139*k**5/30 + 727*k**4/36 - 316*k**3/9 + 30*k**2 - 585*k. Suppose h(y) = 0. Calculate y. 2/3, 1, 90 Let f(y) be the first derivative of y**3/4 + 345*y**2/8 + 171*y/2 - 513. Factor f(r). 3*(r + 1)*(r + 114)/4 Let k(r) = -33*r**2 + 36*r. Let h(z) = z**3 + 35*z**2 - 38*z. Let s be -1 + (2 - 5)/(-1). Let f(g) = s*k(g) + 3*h(g). Let f(x) = 0. What is x? -14, 0, 1 Factor -1642 + 0*v**3 + 0*v**3 - 2*v**3 - 4264*v - 1072*v**2 + 0*v**3 - 2614. -2*(v + 2)**2*(v + 532) Let r(j) be the third derivative of -j**8/30240 + j**7/2520 - 73*j**5/60 - 3*j**2 + 9*j. Let i(o) be the third derivative of r(o). Factor i(x). -2*x*(x - 3)/3 Let h be 3 - (270/14 + 4/(-14)). Let c(a) = 2*a + 36. Let j be c(h). Factor -j*f**2 - 3*f**3 - 2*f - 5*f**2 + 4*f**2. -f*(f + 1)*(3*f + 2) Let h(x) be the second derivative of -1/90*x**6 + 0*x**4 - 1/40*x**5 + 0*x**2 - 5/6*x**3 + 0 - 6*x. Let f(y) be the second derivative of h(y). Factor f(u). -u*(4*u + 3) Let z(c) be the second derivative of c**4/8 - 641*c**3/12 - 107*c**2/2 - 5711*c. Factor z(b). (b - 214)*(3*b + 1)/2 Let m = -26375 + 26379. Solve -320/3*w + 80/3*w**2 - 40/3*w**m - 256/3 + 4/3*w**5 + 100/3*w**3 = 0 for w. -1, 4 Suppose 2*y + 2 = 0, -y - 349 = -t - 3*t. Factor 197*k**2 - 195*k**2 - t*k + 3042 - 69*k. 2*(k - 39)**2 Factor -12071*z**3 + 525*z**2 + 21187 - 14535*z + 4036 + 13792 + 12066*z**3. -5*(z - 51)**2*(z - 3) Let q(m) be the second derivative of m**4/12 + 286*m**3 + 7*m - 78. Factor q(g). g*(g + 1716) Let f(z) be the third derivative of -z**8/3920 - z**7/196 - 217*z**3/6 - 40*z**2 + 3*z. Let w(l) be the first derivative of f(l). Factor w(q). -3*q**3*(q + 10)/7 Suppose -3*t + 5*j - 189 = 0, -4*t - j = 281 - 6. Let n = 212/3 + t. Suppose 26/9*h**3 + n*h**2 + 0 + 2/9*h**5 + 4/3*h**4 + 8/9*h = 0. Calculate h. -2, -1, 0 Let x be 11*1 - (0 + -1). Let h = 901 + -899. Factor 5*k - 2*k**h + k + 14*k - 10*k - x. -2*(k - 3)*(k - 2) Let w(z) be the second derivative of 137*z - 1/24*z**4 + 0*z**2 + 1/12*z**3 + 0. Let w(c) = 0. Calculate c. 0, 1 Let i(z) be the third derivative of -z**8/80640 + 11*z**7/5040 - 121*z**6/720 + 21*z**5/20 - 13*z**2. Let h(p) be the third derivative of i(p). Factor h(t). -(t - 22)**2/4 What is l in -1/5*l**2 - 50 + 127/5*l = 0? 2, 125 Let i(f) be the first derivative of -3*f**3 + 240 + 177/2*f**2 + 60*f. Factor i(v). -3*(v - 20)*(3*v + 1) Let p(h) be the third derivative of h**7/525 - h**6/60 + h**5/25 - 6*h**2 + 27*h - 3. Factor p(o). 2*o**2*(o - 3)*(o - 2)/5 Let i(f) be the second derivative of 0*f**2 - 1/8*f**4 + 20*f + 1/20*f**6 + 0 + f**3 - 3/10*f**5. Factor i(q). 3*q*(q - 4)*(q - 1)*(q + 1)/2 Suppose -5*l - 9 = 6. Let n(m) = 2*m + 9. Let v be n(l). Determine i so that -48 - 6*i - 2*i - v*i**2 - 16*i = 0. -4 Solve -9*f**3 - 100 - 2567*f - 906*f**2 - 2667*f + 4633*f = 0. -100, -1/3 Solve 38392/7*q**3 + 772/7*q**4 + 110584/7*q**2 + 36100/7 + 4/7*q**5 + 15580*q = 0 for q. -95, -1 Let f(k) be the first derivative of -k**8/448 + k**7/56 - 7*k**6/160 + 3*k**5/80 - 4*k**2 - 4*k - 63. Let p(x) be the second derivative of f(x). Factor p(w). -3*w**2*(w - 3)*(w - 1)**2/4 Let v be (-2)/15*-51 + -3 + (-130)/(-650). Determine n, given that -1/7*n**v - 5/7*n**2 - 4/7*n**3 + 0 - 2/7*n = 0. -2, -1, 0 Let b(z) be the third derivative of 2/15*z**5 - 4*z**2 + 1/84*z**8 + 23 + 2/3*z**3 - 1/2*z**4 - 2/35*z**7 + 0*z + 1/15*z**6. Factor b(y). 4*(y - 1)**4*(y + 1) Factor 0*f - 302/3*f**2 + 2/3*f**3 + 0. 2*f**2*(f - 151)/3 Factor 447/2*i + 223/2 + i**2. (i + 223)*(2*i + 1)/2 Let o(u) be the second derivative of -u**6/120 + 41*u**5/80 - 475*u**4/48 + 361*u**3/8 + 383*u + 3. Factor o(n). -n*(n - 19)**2*(n - 3)/4 Let d(q) be the second derivative of 15*q**7/14 - 103*q**6/5 + 147*q**5/2 - 111*q**4 + 167*q**3/2 - 33*q**2 - 255*q + 1. Let d(z) = 0. Calculate z. 1/3, 2/5, 1, 11 Suppose -35*x - 8 + 48 = -15*x. Let h(u) be the second derivative of -21*u + 0 + 1/30*u**4 + 1/15*u**3 - 6/5*u**x. Factor h(r). 2*(r - 2)*(r + 3)/5 Let h be 1/7 - (-9)/(-63). Let o(q) be the third derivative of 1/3*q**4 + 0 - 1/30*q**5 + h*q - 15*q**2 - q**3. Let o(p) = 0. What is p? 1, 3 Suppose 168 = -17*j + 9*j. Let w = -17 - j. What is s in 9*s**2 - 20 + 5*s**2 + w*s - 4*s**3 + 6*s**2 = 0? -1, 1, 5 Let d(m) = 13*m + 177. Let b be d(-13). Let a be (-1)/(1071/(-364)) + b/(-36). Factor 250/17 + 150/17*u + a*u**3 + 30/17*u**2. 2*(u + 5)**3/17 Let l = 241/32 - -55597/96. Let t = -586 + l. Factor -4/3 - t*m + 2/3*m**2. 2*(m - 2)*(m + 1)/3 Let w(j) be the third derivative of 100/3*j**3 - 5/3*j**4 + 1/30*j**5 + 0 + 0*j + 26*j**2. Determine a so that w(a) = 0. 10 Let l be (292 - 199)/(0 - -7) - 13. Factor -l*w**3 + 0 + 16/7*w + 2*w**2. -2*w*(w - 8)*(w + 1)/7 Let q(h) be the third derivative of -h**5/60 - 113*h**4/32 - 331*h**3/12 + 2489*h**2. Factor q(c). -(c + 2)*(4*c + 331)/4 Let l(v) be the second derivative of -10*v**4/27 + 121*v**3/27 - 2*v**2/3 - 2035*v. Factor l(d). -2*(d - 6)*(20*d - 1)/9 Let f(c) be the third derivative of c**8/56 - 19*c**7/70 - 117*c**6/40 - 63*c**5/10 - 10*c**2 - 100. Suppose f(g) = 0. Calculate g. -3, -3/2, 0, 14 Let h be (-111 + -28 + 137)/(2/(-4) - 0). Factor 4/5*r - 4/5*r**2 - 4/5*r**3 + 4/5*r**h + 0. 4*r*(r - 1)**2*(r + 1)/5 Factor -242/9*u + 1/3*u**2 + 239/9. (u - 1)*(3*u - 239)/9 Let d = -37160 - -37160. Factor
{ "pile_set_name": "DM Mathematics" }
ulate 131235 divided by 5. 26247 Calculate -11269889 divided by -2. 11269889/2 What is 1 divided by -58599? -1/58599 1 divided by 152183 1/152183 What is 450 divided by -21? -150/7 Calculate -1 divided by 63821. -1/63821 -2444508 divided by -74076 33 Divide 292 by -35. -292/35 Divide 461922 by -3. -153974 Calculate 30004 divided by 26. 1154 What is 24 divided by -8213? -24/8213 Calculate -53349 divided by 1. -53349 Calculate 0 divided by -727131. 0 Divide -139668 by -12. 11639 Divide 439266 by -409. -1074 Divide -6 by 86736. -1/14456 -22400 divided by 7 -3200 Divide -292080 by -48. 6085 Divide -3212 by -55. 292/5 Calculate 12 divided by 147568. 3/36892 Divide 2055717 by 2. 2055717/2 Divide 2591094 by 6. 431849 Calculate 195215 divided by 5. 39043 58 divided by 709 58/709 What is 740440 divided by 6920? 107 What is 0 divided by -26545? 0 Calculate 1280 divided by -71. -1280/71 Calculate 59 divided by 62. 59/62 Calculate 0 divided by 205947. 0 Calculate -395184 divided by -6. 65864 Calculate 192351 divided by 3. 64117 Divide 4 by -16696. -1/4174 What is -19026 divided by 151? -126 Calculate 0 divided by -15086. 0 What is 0 divided by 233745? 0 Calculate -28877 divided by -28877. 1 Divide -118962 by -118962. 1 Calculate 158 divided by 12533. 158/12533 Divide 1676818 by 3146. 533 Divide -337381 by -1. 337381 What is 4 divided by 31793? 4/31793 What is 4730 divided by 3? 4730/3 Calculate -675 divided by 1157. -675/1157 Calculate 503214 divided by 83869. 6 210140 divided by -42028 -5 Divide 510657 by 170219. 3 Divide -22578 by -1. 22578 Calculate 1 divided by 158990. 1/158990 1 divided by -182835 -1/182835 -46350 divided by -9270 5 What is -1 divided by -8696? 1/8696 Divide -1411210 by -4. 705605/2 166096 divided by 4 41524 Divide -287416 by 3884. -74 What is 145197 divided by -48399? -3 What is -2235618 divided by 745206? -3 Divide 416 by 235. 416/235 -1112112 divided by 4 -278028 Divide 600470 by 23095. 26 What is 1302 divided by -5? -1302/5 What is 4298 divided by 505? 4298/505 23 divided by -28411 -23/28411 What is -1096182 divided by -1? 1096182 378 divided by 40 189/20 Calculate 7987 divided by 1141. 7 468488 divided by 234244 2 Calculate -317 divided by 42. -317/42 Calculate -118836 divided by -1. 118836 What is -278 divided by 1213? -278/1213 Divide 560 by 112. 5 Calculate 2 divided by -57814. -1/28907 Calculate -211803 divided by 3. -70601 What is -46509 divided by -5? 46509/5 Divide -1085139 by 2. -1085139/2 8 divided by 131704 1/16463 What is -730391 divided by 31? -23561 Calculate 3721000 divided by -4. -930250 Calculate -1052912 divided by 37604. -28 -350005 divided by -5 70001 Divide 6120 by 612. 10 -8 divided by 1352 -1/169 Calculate 6 divided by -1189854. -1/198309 23937 divided by 3 7979 Calculate 513591 divided by -3. -171197 Divide 1527 by -57. -509/19 -140794 divided by -2 70397 -17 divided by -370 17/370 Divide -7128 by 8. -891 Calculate -911924 divided by 12844. -71 -17 divided by 110 -17/110 What is -40 divided by 179? -40/179 Divide 290 by -10. -29 Divide 63636 by -21212. -3 12884 divided by -13 -12884/13 Divide -775597 by 4. -775597/4 What is -192312 divided by -4? 48078 Calculate 70752 divided by -402. -176 Divide 36109 by 3. 36109/3 What is 51 divided by -178? -51/178 -73941 divided by 3521 -21 Divide 0 by -12511. 0 Divide -93840 by -31280. 3 Divide -51772 by -5. 51772/5 Calculate -34610 divided by -30. 3461/3 -13131 divided by -4377 3 487 divided by -41 -487/41 -10 divided by -48612 5/24306 Calculate -136848 divided by 6. -22808 Calculate -77900 divided by 1900. -41 Divide -17 by 2243. -17/2243 Calculate 617376 divided by 77172. 8 What is 4 divided by 155109? 4/155109 Divide 199623 by -3. -66541 -122433 divided by -1103 111 What is -831022 divided by 361? -2302 What is 333654 divided by 6? 55609 Calculate -1716 divided by -206. 858/103 -294570 divided by 9819 -30 What is 26422 divided by 1? 26422 Calculate 1647726 divided by 282. 5843 Calculate 0 divided by -3615. 0 Divide -64050 by 21350. -3 Divide 542985 by -5. -108597 What is -11732 divided by -2933? 4 Calculate -1021 divided by 148. -1021/148 Calculate 839762 divided by 2. 419881 What is -266112 divided by -2688? 99 Divide 28424 by 7106. 4 656292 divided by 23439 28 Divide -8193 by 8193. -1 Calculate 46537 divided by 7. 46537/7 Calculate 198 divided by -6. -33 Calculate -390339 divided by 4819. -81 Calculate -15668 divided by -4. 3917 What is 65148 divided by -21716? -3 Calculate -169836 divided by 42459. -4 -72072 divided by -4 18018 Divide -27117 by 131. -207 Divide -1784560 by 4. -446140 -310 divided by 187 -310/187 Calculate 53893 divided by 7. 7699 -520011 divided by 171 -3041 What is 82 divided by 30562? 41/15281 Calculate 117 divided by 1276. 117/1276 What is 4 divided by 10036? 1/2509 Calculate 145 divided by 157. 145/157 Calculate -1693812 divided by -7429. 228 Calculate 3192 divided by 532. 6 Divide 26055 by -5. -5211 Divide 13 by -745. -13/745 What is 3392 divided by 29? 3392/29 506920 divided by -1334 -380 Calculate -204961 divided by -8. 204961/8 What is -17932 divided by -22? 8966/11 Calculate -4 divided by -92927. 4/92927 Divide 112560 by -1407. -80 What is -656 divided by -31? 656/31 Calculate 172440 divided by -60. -2874 Calculate -149810 divided by 27. -149810/27 Calculate 5439 divided by 17. 5439/17 Calculate 32850 divided by 450. 73 Calculate 1721291 divided by 1. 1721291 What is 21870 divided by -81? -270 -15114 divided by -15114 1 Calculate 9398 divided by -37. -254 1068488 divided by -1 -1068488 What is 4 divided by -33930? -2/16965 What is -1944376 divided by -34721? 56 -129136 divided by 64568 -2 -2824058 divided by -14557 194 -116277 divided by 147 -791 What is -74 divided by -106? 37/53 Divide 10357842 by -3. -3452614 Calculate 24 divided by 135. 8/45 Divide 119316 by -1956. -61 What is 62217 divided by -20739? -3 -104302 divided by 431 -242 -12831 divided by 7 -1833 Calculate -23 divided by 5062. -23/5062 Calculate 5266344 divided by 152. 34647 -289 divided by -56 289/56 -1 divided by 4072 -1/4072 Divide -213928 by -52. 4114 What is -4181 divided by -18? 4181/18 What is -86926 divided by -6209? 14 Calculate -50060 divided by -12515. 4 -77341 divided by -5 77341/5 What is 0 divided by -821839? 0 Divide -1003353 by 334451. -3 What is 259 divided by -8454? -259/8454 What is 569 divided by -143? -569/143 Calculate 184440 divided by 20. 9222 What is 67965 divided by 23? 2955 1 divided by -9482 -1/9482 Divide 1118940 by -1020. -1097 -21383556 divided by 6 -3563926 Calculate 706 divided by 348. 353/174 What is 0 divided by 159? 0 Divide 56 by 43719. 56/43719 Divide 37356 by -18678. -2 14364 divided by -27 -532 What is -2279235 divided by -5? 455847 Divide 2124 by -512. -531/128 What is 750 divided by 17? 750/17 What is -3843888 divided by -4388? 876 -159847 divided by 5 -159847/5 Calculate 1167640 divided by -2. -583820 Calculate -69 divided by 38074. -69/38074 Divide 5 by -6237. -5/6237 552 divided by 26 276/13 Divide 9224 by -15. -9224/15 Divide 899 by -55. -899/55 Divide 185136 by 406. 456 Calculate 3015 divided by -1005. -3 Calculate -24480 divided by -4896. 5 Calculate 1015683 divided by -309. -3287 Calculate 16 divided by 1655. 16/1655 What is -165 divided by -79? 165/79 12 divided by 82961 12/82961 -1288 divided by -7 184 6407225 divided by -1281445 -5 Divide 13 by -97983. -13/97983 What is -20149 divided by 3? -20149/3 Calculate -290010 divided by -48335. 6 What is 2122593 divided by -192963? -11 30825 divided by 75 411 Calculate 296142 divided by -7051. -42 1308993 divided by 249 5257 Divide -5828 by -188. 31 -507780 divided by -20 25389 Calculate 695 divided by 25. 139/5 Calculate -7466 divided by -15. 7466/15 Calculate 1 divided by -952995. -1/952995 Calculate 168 divided by 498. 28/83 693392 divided by 287 2416 Divide -63772 by -6. 31886/3 What is 12028 divided by -3007? -4 Calculate 4 divided by -10442. -2/5221 -35864 divided by -9 35864/9 Divide 205666 by -263. -782 Calculate 792693 divided by -2669. -297 What is -735534 divided by -954? 771 Calculate 415084 divided by 3. 415084/3 -185760 divided by 9288 -20 Divide -4 by 21462. -2/10731 Divide 78156 by 6513. 12 Calculate 36 divided by -164. -9/41 Calculate -56331 divided by 9. -
{ "pile_set_name": "DM Mathematics" }
is q? -105, 2/7, 1, 2, 5 Find g, given that -6*g**5/7 - 26*g**4 - 862*g**3/7 + 4934*g**2/7 - 932*g + 2640/7 = 0. -22, -12, 1, 5/3 Factor -4*p**4/3 - 292*p**3/3 - 5180*p**2/3 + 5476*p/3. -4*p*(p - 1)*(p + 37)**2/3 Find o such that -2*o**5/9 - 80*o**4/3 - 434*o**3 - 2724*o**2 - 7416*o - 7344 = 0. -102, -6, -3 Suppose 5*w**5 - 195*w**4 + 2335*w**3 - 11265*w**2 + 23580*w - 17820 = 0. What is w? 2, 3, 9, 22 Solve 6*l**4 + 3358539*l**3/2 + 419817*l**2 = 0 for l. -279878, -1/4, 0 Determine j, given that -7*j**4/4 - 160*j**3 - 16443*j**2/4 - 25297*j/2 + 309304 = 0. -41, -16, 46/7 Let t**3/4 + 99*t**2 + 6885*t/4 + 15309/2 = 0. Calculate t. -378, -9 Suppose 5*i**5 + 140*i**4 + 1065*i**3 + 2290*i**2 + 1360*i = 0. What is i? -17, -8, -2, -1, 0 Find s, given that 3*s**2/4 + 62295*s - 124593 = 0. -83062, 2 Solve -2*f**3 - 204*f**2 - 4032*f - 22464 = 0 for f. -78, -12 What is o in 227451*o**2 - 65028*o + 12 = 0? 2/10831, 2/7 What is k in -2*k**3/23 + 66*k**2 + 3042*k/23 + 1522/23 = 0? -1, 761 Determine t, given that -4*t**4 + 212*t**3 - 4008*t**2 + 31536*t - 85536 = 0. 6, 11, 18 Factor 2*j**5 - 64232*j**4 - 128472*j**3. 2*j**3*(j - 32118)*(j + 2) Let 3*l**3/2 - 1429*l**2/4 - 1435*l/4 = 0. What is l? -1, 0, 1435/6 Factor l**2/5 - 153448*l/5 + 5886572176/5. (l - 76724)**2/5 Find g, given that -3*g**4/8 - 183*g**3/8 + 213*g**2/4 + 366*g - 756 = 0. -63, -4, 2, 4 Factor n**2/7 + 3680*n + 51516/7. (n + 2)*(n + 25758)/7 Let -5*j**4 - 165*j**3 - 1365*j**2 + 4225*j + 65910 = 0. What is j? -13, 6 Solve 3*y**4 + 579*y**3 + 7491*y**2 - 5211*y - 67662 = 0 for y. -179, -14, -3, 3 Factor m**2/6 + 169*m/6 + 453. (m + 18)*(m + 151)/6 Solve 8*u**2 + 925668*u + 462832 = 0 for u. -115708, -1/2 Determine c, given that 81*c**3 - 844299*c**2 + 375232*c - 41692 = 0. 2/9, 10423 Let 3*j**2/4 + 153*j/2 + 3915/4 = 0. What is j? -87, -15 Factor -5*s**4 + 125*s**3 - 440*s**2 + 420*s. -5*s*(s - 21)*(s - 2)**2 Find o such that 2*o**4/3 + 286*o**3/3 - 45874*o**2/3 - 2205098*o - 2189712 = 0. -147, -1, 152 Determine s, given that -s**3 + 646*s**2 + 10528*s + 42368 = 0. -8, 662 Factor -2*g**2/5 + 12490*g - 561888/5. -2*(g - 31216)*(g - 9)/5 Factor -2*w**2/7 - 186*w/7 - 1660/7. -2*(w + 10)*(w + 83)/7 Factor n**4 + 7*n**3 - 5990*n**2 - 12000*n. n*(n - 75)*(n + 2)*(n + 80) What is b in 2*b**2/15 - 1772*b/3 - 5920 = 0? -10, 4440 Factor -2*x**3 - 74*x**2 - 824*x - 2880. -2*(x + 8)*(x + 9)*(x + 20) Factor -5*w**2 + 182080*w - 910275. -5*(w - 36411)*(w - 5) Let s**2/7 - 11846*s/7 + 35081929/7 = 0. What is s? 5923 Factor -3*w**3 + 16362*w**2 - 114405*w + 98046. -3*(w - 5447)*(w - 6)*(w - 1) Factor -2*n**2/9 - 11836*n/9 + 5264. -2*(n - 4)*(n + 5922)/9 Suppose -i**2/4 - 991*i/4 + 3493/2 = 0. Calculate i. -998, 7 Determine y, given that 2*y**4/9 - 2308*y**3/9 - 770*y**2/3 = 0. -1, 0, 1155 Determine c, given that -2*c**2/9 + 106808*c/9 + 106810/9 = 0. -1, 53405 Suppose 3*u**2 - 6228*u = 0. What is u? 0, 2076 Let 4*x**4 + 904*x**3 + 62164*x**2 + 1252944*x + 7683984 = 0. What is x? -99, -14 Let 2*k**5/7 + 158*k**4/7 - 1350*k**3/7 + 3618*k**2/7 - 3132*k/7 = 0. Calculate k. -87, 0, 2, 3 Solve 4*k**3 + 74756*k**2 + 597856*k + 1195584 = 0. -18681, -4 Let 3*h**2/8 - 73461*h/2 + 1798839507/2 = 0. What is h? 48974 Find i, given that -16*i**4/3 + 65*i**3/6 + 319*i**2/3 + 374*i/3 - 4 = 0. -2, 1/32, 6 What is z in -z**4 + 30490*z**3 - 232470997*z**2 + 929518140*z - 929396196 = 0? 2, 15243 Solve 2*x**3 - 72*x**2 - 402*x - 328 = 0 for x. -4, -1, 41 Let -59*t**3 - 167*t**2 + 30*t = 0. Calculate t. -3, 0, 10/59 Find j, given that 2*j**3/17 + 134*j**2/17 - 8604*j = 0. -306, 0, 239 Factor 2*p**3/5 - 128*p**2 + 12558*p/5. 2*p*(p - 299)*(p - 21)/5 Factor 2*h**4 + 98*h**3 - 360*h**2 - 2336*h + 8320. 2*(h - 4)**2*(h + 5)*(h + 52) Solve -2*w**2 - 6486*w = 0 for w. -3243, 0 Let -2*f**2/3 - 1003492*f - 377623572774 = 0. Calculate f. -752619 Let 6*u**4/5 + 4*u**3/5 - 32*u**2/5 + 28*u/5 - 6/5 = 0. Calculate u. -3, 1/3, 1 Solve -3*h**3 + 92631*h**2 - 185250*h = 0. 0, 2, 30875 Factor 2*m**2/9 + 368278*m/3 + 1104832/9. 2*(m + 1)*(m + 552416)/9 What is g in 2*g**2/7 - 16734*g/7 + 450360/7 = 0? 27, 8340 Determine k, given that -k**5/2 - 477*k**4/2 + 719*k**3 - 480*k**2 = 0. -480, 0, 1, 2 Let 4*u**4 + 72*u**3 + 244*u**2 + 288*u + 112 = 0. Calculate u. -14, -2, -1 Let -3*p**5/5 - 12492*p**4/5 - 13637532*p**3/5 - 263731104*p**2 - 6685748160*p = 0. What is p? -2030, -52, 0 Suppose -285*j**5 - 105560*j**4 - 145395*j**3 + 132860*j**2 + 7380*j = 0. What is j? -369, -2, -1/19, 0, 2/3 Find i such that 2*i**4/7 - 598*i**3/7 - 6758*i**2/7 - 19178*i/7 - 1860 = 0. -7, -3, -1, 310 Factor 6*a**2/7 - 2053644*a/7 + 175727236614/7. 6*(a - 171137)**2/7 Let -4*x**3/5 + 2842568*x**2/5 + 2274064*x + 11370336/5 = 0. What is x? -2, 710646 Suppose -3*p**2/7 - 2001*p/7 + 4014/7 = 0. Calculate p. -669, 2 Determine a so that 2*a**5 - 520*a**4 + 3508*a**3 + 8584*a**2 + 4554*a = 0. -1, 0, 9, 253 Suppose h**2/4 + 6044*h + 24175/4 = 0. What is h? -24175, -1 Factor -2*r**2 - 984*r - 16150. -2*(r + 17)*(r + 475) What is o in 2*o**4 - 116026*o**3 + 2243749458*o**2 - 14465452446334*o + 28921930823012 = 0? 2, 19337 Determine a so that -4*a**4 - 268*a**3 - 860*a**2 + 140524*a = 0. -43, 0, 19 Factor -j**3/6 - 259*j**2/6 + 4508*j - 100842. -(j - 42)**2*(j + 343)/6 Suppose -2*h**4/9 + 392*h**3/9 - 3346*h**2/9 - 3740*h/9 = 0. Calculate h. -1, 0, 10, 187 Factor 12*g**3 - 956*g**2 + 15412*g + 5244. 4*(g - 57)*(g - 23)*(3*g + 1) Find z such that -3*z**2/7 - 1335*z/7 - 30312/7 = 0. -421, -24 Determine a, given that -a**2 + 935*a - 3724 = 0. 4, 931 Factor -y**4/5 + 76*y**3/5 - 1253*y**2/5 + 1078*y. -y*(y - 55)*(y - 14)*(y - 7)/5 Factor -2*t**2/3 - 13646*t/3 - 4548. -2*(t + 1)*(t + 6822)/3 Find w such that 3*w**2 - 499026*w + 20752245723 = 0. 83171 Let -5*j**4 + 2685*j**3 - 339480*j**2 - 5713200*j = 0. What is j? -15, 0, 276 Let b**2 + 5009*b - 15036 = 0. What is b? -5012, 3 Factor 3*a**4 + 1866*a**3 + 394632*a**2 + 29917734*a + 326251653. 3*(a + 13)*(a + 203)**3 Let -2*h**3 - 1270*h**2 - 52976*h - 572088 = 0. What is h? -591, -22 Factor 3*c**2 + 233865*c. 3*c*(c + 77955) Solve q**5/4 + 105*q**4/4 + 222*q**3 + 580*q**2 + 384*q = 0 for q. -96, -4, -1, 0 Factor 3*c**2 - 891*c + 41040. 3*(c - 240)*(c - 57) Factor 3*t**2 + 60288*t + 120564. 3*(t + 2)*(t + 20094) Factor 9*d**3 - 258*d**2 - 1035*d + 2400. 3*(d - 32)*(d + 5)*(3*d - 5) Factor 3953*x**2/5 - 27669*x/5 - 14/5. (x - 7)*(3953*x + 2)/5 Determine l, given that 4*l**4 + 28*l**3 - 340*l**2 - 364*l = 0. -13, -1, 0, 7 Factor -x**2/3 - 3590*x/3 - 236041/3. -(x + 67)*(x + 3523)/3 Factor 3*c**3 + 447*c**2 - 15735*c + 67125. 3*(c - 25)*(c - 5)*(c + 179) Find r, given that -r**5/2 - 539*r**4/2 + 4903*r**3/2 - 15853*r**2/2 + 10677*r - 4932 = 0. -548, 1, 2, 3 Determine d so that -3*d**3 + 26190*d**2 - 57159675*d = 0. 0, 4365 Solve u**2 - 232180*u + 13476888100 = 0 for u. 116090 Factor -2*u**3 + 554*u**2 - 50336*u + 1492608. -2*(u - 104)**2*(u - 69) Factor -2*x**3/13 - 7264*x**2/13 + 1118*x - 7268/13. -2*(x - 1)**2*(x + 3634)/13 Let -2*q**3/11 - 768*q**2/11 + 1560*q/11 + 6176/11 = 0. What is q? -386, -2, 4 Let 2*x**2/3 - 2166*x - 52112/3 = 0. Calculate x. -8, 3257 What is o in 4*o**3/9 - 1244*o**2/9 + 22328*o/9 - 39712/9 = 0? 2, 17, 292 Determine z, given that -6*z**5 + 28*z**4 + 56*z**3 - 48*z**2 = 0. -2, 0, 2/3, 6 Factor -c**4/9 - 31*c**3/9 + 85*c**2/3 - 413*c/9 + 190/9. -(c - 5)*(c - 1)**2*(c + 38)/9 Let f**4/6 - 41*f**3/6 - 230*f**2 - 1878*f - 4680 = 0. What is f? -12, -6, 65 Find o such that -2*o**4 - 2152*o**3 + 15134*o**2 - 30308*o + 17328 = 0. -1083, 1, 2, 4 Factor 2*y**3/5 - 26*y**2/5 - 282*y/5 + 1026/5. 2*(y - 19)*(y - 3)*(y + 9)/5 Determine l, given that -4*l**2 - 3972*l - 686840 = 0. -770, -223 Factor 2*d**3/7 + 92*d**2/7 + 790*d/7 + 100. 2*(d + 1)*(d + 10)*(d + 35)/7 Factor 2*a**3 - 23326*a**2. 2*a**2*(a - 11663) Factor 3*s**2/2 + 591*s - 6060. 3*(s - 10)*(s + 404)/2 Factor -5*u**3 + 1980*u**2 + 12095*u - 14070. -5*(u - 402)*(u - 1)*(u + 7) Factor -y**2/5 - 32*y/5 + 5005. -(y - 143)*(y + 175)/5 Find u such that 3*u**4 - 82110*u**3 - 164244*u**2 + 328440*u + 656928 = 0. -2, 2, 27372 Let -3*y**4 - 11496*y**3 + 23001*y**2 - 11502*y = 0. Calculate y. -3834, 0, 1 Solve -2*m**2 + 2696*m - 609014 = 0 for m. 287, 1061 Find p such th
{ "pile_set_name": "DM Mathematics" }
*v**2 - 570*v**3 - 4*v**2. -2*v**3 Collect the terms in -2*a**3 - 639*a - 3*a**3 + 639*a. -5*a**3 Collect the terms in -42*b + 43 + 43*b - 83 + 40. b Collect the terms in -9*w**3 + 10*w**3 - 3*w - 4 + 4. w**3 - 3*w Collect the terms in -16*s + 16*s - 180*s**2 + 181*s**2. s**2 Collect the terms in 0 + 0 - 311*d**3 + 74*d**3. -237*d**3 Collect the terms in -24 - 40 - 8*w + 64. -8*w Collect the terms in -8*t**2 + 37*t - 16*t - 8*t**2 - 22*t. -16*t**2 - t Collect the terms in 263*c**2 - 7*c - 267*c**2 + 7*c + 0*c. -4*c**2 Collect the terms in 8*z**2 + 13*z**2 - 34*z**2 + 14*z**2. z**2 Collect the terms in -20*o - 10*o + 33*o. 3*o Collect the terms in -547 - t + 547. -t Collect the terms in 4*f**2 - 1794*f + 1794*f. 4*f**2 Collect the terms in 59*p - 179*p + 60*p + 67*p. 7*p Collect the terms in -4*n + 5*n - 2*n. -n Collect the terms in -35*m + 31*m - 10*m. -14*m Collect the terms in 37 - 171*j**2 - 37 + 170*j**2. -j**2 Collect the terms in -172*l**3 - 62*l**3 - 68*l**3. -302*l**3 Collect the terms in 1377*s + 1381*s - 4137*s + 1376*s. -3*s Collect the terms in 8*z**3 + 8333*z**2 + z**3 - 8333*z**2. 9*z**3 Collect the terms in 317*t - 660*t + 339*t. -4*t Collect the terms in 0*g - g + 5*g. 4*g Collect the terms in -14 + 11*d + 14. 11*d Collect the terms in 17 - 17 + 4*u**2 - 13*u**2. -9*u**2 Collect the terms in -31 - r**2 + 4*r**2 - 2*r**2. r**2 - 31 Collect the terms in 0*z + 8*z - 5*z. 3*z Collect the terms in -18*d - 11*d - 18*d**2 + 29*d. -18*d**2 Collect the terms in 28*y - 13*y - 16*y. -y Collect the terms in 25*a - 62*a + 37*a + 22*a**3. 22*a**3 Collect the terms in -4*l**2 - 3*l**2 - 7*l**2. -14*l**2 Collect the terms in 284*r**2 - 142*r**2 - 143*r**2. -r**2 Collect the terms in 135*a - 68*a + 37*a**2 - 67*a. 37*a**2 Collect the terms in 16*c**2 + 30*c**2 + 25*c**2 - c**3 - 71*c**2. -c**3 Collect the terms in 56*z - 4 + 2 + 2 - 54*z. 2*z Collect the terms in -11*y - 34*y - 2*y. -47*y Collect the terms in -601 + 6*r**2 + 601. 6*r**2 Collect the terms in 4*c**3 - 96 + 96. 4*c**3 Collect the terms in 2378*r**3 - 1185*r**3 - 1187*r**3. 6*r**3 Collect the terms in -194 + 194 - 16*g**2 - 6*g**2. -22*g**2 Collect the terms in -56*z - 180 + 180 + 57*z. z Collect the terms in 9*q - 70*q - 17*q. -78*q Collect the terms in 101*f**2 + 0*f + 3*f**2 + 2*f. 104*f**2 + 2*f Collect the terms in -2 + 35*y**2 + 2 + 0. 35*y**2 Collect the terms in 3 - 18*f**2 + 5 - 8. -18*f**2 Collect the terms in -164 + 330 + 2*t**2 - 166. 2*t**2 Collect the terms in 172*d**3 - 87*d**3 - 82*d**3. 3*d**3 Collect the terms in -193*k**3 - 4*k**3 - 36*k**3. -233*k**3 Collect the terms in 15*w - 24*w + 11*w. 2*w Collect the terms in 0*d**3 - d**3 + d**3 - 4*d**3. -4*d**3 Collect the terms in 11*b - 11*b + 22 + 2*b**2. 2*b**2 + 22 Collect the terms in -27*n**3 + 24*n**3 + 23*n**3. 20*n**3 Collect the terms in 53*m**3 - 74*m**3 + 18*m**3. -3*m**3 Collect the terms in 105 + 100 - 205 - 10*f - f. -11*f Collect the terms in 132 - 132 - 132*h. -132*h Collect the terms in f**2 - 2*f**2 + 12*f**2. 11*f**2 Collect the terms in 0 + 10*h**3 - 26*h**3 + 0. -16*h**3 Collect the terms in -z**3 + z**3 + 6*z**3 - 2*z**3. 4*z**3 Collect the terms in 34693*m - m**3 - 34693*m. -m**3 Collect the terms in 6*a**2 + 24 - 5 - 19. 6*a**2 Collect the terms in -82*p**2 + 24*p**2 - 40*p**2. -98*p**2 Collect the terms in 2 - 69 - 93 - h**2. -h**2 - 160 Collect the terms in -7140 + 7140 - 2*a**2. -2*a**2 Collect the terms in -g**2 - 7 - 8*g + 7. -g**2 - 8*g Collect the terms in 3078 - 6149 + 3071 + 0*s**3 - s**3. -s**3 Collect the terms in -11 - 5*q**3 + 8 - 6 + 4*q**3. -q**3 - 9 Collect the terms in 15*z + 14*z - 34*z + 2. -5*z + 2 Collect the terms in -4 - 13*b**3 + 4 - 4*b**3. -17*b**3 Collect the terms in -3*h**2 - 2*h**2 - 2852 + 3*h**2 + 2852. -2*h**2 Collect the terms in -82*g**3 - 1 - 40*g**3 + 1. -122*g**3 Collect the terms in -94*c - 75*c + 8*c + 10*c. -151*c Collect the terms in -15*j**2 + 20*j**2 + 9*j**2. 14*j**2 Collect the terms in 1487 + n**3 - 2*n**3 - 1487. -n**3 Collect the terms in 3*w**3 - 3*w**3 - 29*w - 2*w**3 + 4*w**3. 2*w**3 - 29*w Collect the terms in -16 + 51*v + 4*v + 16. 55*v Collect the terms in -23*w - w**2 + 23*w. -w**2 Collect the terms in 3 + 3 - 6 + 8*y. 8*y Collect the terms in 45*d**2 - 30*d**2 + 2*d - 2*d. 15*d**2 Collect the terms in t**2 + 2*t - 2*t - 44. t**2 - 44 Collect the terms in 72*g**2 - 32*g**2 - 41*g**2. -g**2 Collect the terms in 7*b**2 + 2*b**2 + 14*b - 13*b**2. -4*b**2 + 14*b Collect the terms in -3040*c**3 + 5*c + 6069*c**3 - 3030*c**3 - 5*c. -c**3 Collect the terms in -165 + 324 - 159 + 2*k**2. 2*k**2 Collect the terms in -1647*o**2 - 1646*o**2 + 4941*o**2 - 1648*o**2 - 2*o**3. -2*o**3 Collect the terms in 2 - 2 + 7 - 1 - 9*v. -9*v + 6 Collect the terms in -18*n**2 + 4*n**2 - 9*n**2. -23*n**2 Collect the terms in 13*n + 3*n + 9 - 7. 16*n + 2 Collect the terms in -120*g**2 + 54*g**2 - 107*g**2. -173*g**2 Collect the terms in 9*c**2 + 7*c**2 - 28*c**2 + 13*c**2. c**2 Collect the terms in 0*d + 2*d + 15 - 18 + 3. 2*d Collect the terms in 570*b + 3 - 3 - 1175*b + 607*b. 2*b Collect the terms in 35*l - 113*l + 37*l + 40*l. -l Collect the terms in 638*r - 323*r - 315*r + 2*r**3. 2*r**3 Collect the terms in 13934 - 13934 + o**3. o**3 Collect the terms in 20*f**3 - 6*f**3 + 47*f**3. 61*f**3 Collect the terms in 0*z**3 + 10*z**3 - 12*z**3. -2*z**3 Collect the terms in -3 + 5*o**2 - 16*o**2 - 60*o**2. -71*o**2 - 3 Collect the terms in 5*h - 5*h + 9*h - 4*h. 5*h Collect the terms in -3*i**2 + 23*i**2 + 14*i**2 + 5*i**2. 39*i**2 Collect the terms in -12 + 6*u**3 + 0*u**3 + 12 - 4*u**3. 2*u**3 Collect the terms in 9*m**2 + 8*m**2 - 11*m**2 - 1. 6*m**2 - 1 Collect the terms in -631655*m**2 - 2*m**3 + 631655*m**2. -2*m**3 Collect the terms in 107*n**2 - 36*n**2 - 40*n**2 - 32*n**2. -n**2 Collect the terms in -113085*d**2 + 0 + 0 + 113083*d**2. -2*d**2 Collect the terms in 27090*c**2 - 13*c**3 - 27090*c**2 + 4*c - 4*c. -13*c**3 Collect the terms in 1305*d**3 + 5*d**2 - 5*d**2. 1305*d**3 Collect the terms in -10 + 0*s**2 - 5*s**2 + 6*s**2 - 29. s**2 - 39 Collect the terms in 6*j**2 - 5*j**2 - 5*j**2 + 3*j**2. -j**2 Collect the terms in 8*j**3 - 145*j + 145*j. 8*j**3 Collect the terms in -3*z + 8*z - 4*z. z Collect the terms in -2*u - 5 - 4 + 0 + 2. -2*u - 7 Collect the terms in -191*a + 191*a - 11*a**3. -11*a**3 Collect the terms in 4*r**2 + 15202*r - 30398*r + 15196*r. 4*r**2 Collect the terms in 8*f - 7*f + 8*f. 9*f Collect the terms in -3*w - 8*w - 4*w + 0*w. -15*w Collect the terms in -60*m - 34*m + 86*m. -8*m Collect the terms in 25 - 2*i - 7 - 2 - 16. -2*i Collect the terms in 3*g**3 - 88 + 46 + 6*g**3 + 42. 9*g**3 Collect the terms in i**2 + 214*i**3 - i**2. 214*i**3 Collect the terms in 2090 + 5*y - 2090. 5*y Collect the terms in -75*p**2 - 77*p**2 + 253*p**2 - 100*p**2. p**2 Collect the terms in 6*z + 17*z - 2*z - 3 - 2*z. 19*z - 3 Collect the terms in -3*v - 2*v + 4*v + 2*v. v Collect the terms in -2*t - 2*t - 833*t**3 + 834*t**3 + 4*t. t**3 Collect the terms in -28*d**3 - 3*d**2 + 12*d**3 + 3*d**2. -16*d**3 Collect the terms in -127*c - 15*c**2 + 127*c. -15*c**2 Collect the terms in 3*c - 22*c + 18*c. -c Collect the terms in 126*q + 122*q - 249*q. -q Collect the terms in -64*c**3 - 12*c**2 + 12*c**2. -64*c**3 Collect the terms in 14*t - 11*t - 8*t. -5*t Collect the terms in -j**3 - 51*j - 3*j**2 + 3*j**2 - 6*j**2. -j**3 - 6*j**2 - 51*j Collect the terms in -12*r**2 + 7*r**2 + 9*r**2 - 3*r**2. r**2 Collect the terms in -2 + 13*d**2 - 2 + 4. 13*d**2 Collect the terms in -31*l**2 - 44*l + 44*l. -31*l**2 Collect the terms in 57*f - 6*f**3 - 57*f. -6*f**3 Collect the terms in 15*c + 44*c - 2 + 28*c. 87*c - 2 Collect the terms in -79*q**2 - 9*q**2 - 33*q**2. -121*q**2 Collect the terms in 2*s**3 - 2*s**3 + 38*s**3. 38*s**3 Collect the terms in -12*c**2 - 7*c**2 - 15*c**2. -34*c**2 Collect the terms in 3*l**2 + 0*l**2 - 3*l**2 - 11*l**2. -11*l**2 Collect the terms in 0*q**3 + q**3 + 6*q**3 - 3*q**3. 4*q**3 Collect the terms in 12*g - 50*g + 13*g + 18*g. -7*g Collect the terms in -2*w - 75*w + 41*w + 37*w. w Collect the terms in 0 - 108*l + 0 + 113*l. 5*l Collect the terms in 85*r - 156*r + 84*r. 13*r Collect the terms in -q - 3*q + 2*q. -2*q Collect the terms in
{ "pile_set_name": "DM Mathematics" }
9895 Simplify sqrt(208) - (0 + sqrt(208))*-4. 20*sqrt(13) Simplify 5*(sqrt(5)*2 + 2). 10 + 10*sqrt(5) Simplify 5*(2*(sqrt(110)/sqrt(10))**2 + sqrt(11)). 5*sqrt(11) + 110 Simplify sqrt(20)/(sqrt(4) + sqrt(4) + sqrt(16)/sqrt(4)*3 - sqrt(4)). sqrt(5)/4 Simplify -5 + sqrt(1900)*-3. -30*sqrt(19) - 5 Simplify (1*(5 + -2*sqrt(1088)))**2. -160*sqrt(17) + 4377 Simplify 3*((-2 + sqrt(2448))**2 + 2). -144*sqrt(17) + 7362 Simplify ((sqrt(176)*4 - sqrt(44))/(sqrt(36)/(sqrt(9) - (sqrt(9) + sqrt(9)*2))))**2. 2156 Simplify sqrt(15)/(sqrt(3)*3 + sqrt(3)) + 2 + sqrt(245). 2 + 29*sqrt(5)/4 Simplify (sqrt(931) - ((sqrt(931) - -2*sqrt(931)) + -5))**2. -140*sqrt(19) + 3749 Simplify (-4 + (sqrt(2) - sqrt(8)) + sqrt(180)/sqrt(10))**2. -16*sqrt(2) + 24 Simplify ((((sqrt(324) - (sqrt(324) - 1*sqrt(324))) + sqrt(324))/sqrt(9))/(sqrt(12) + (sqrt(96)/sqrt(2))/sqrt(4) - sqrt(12)) + 4)**2. 16*sqrt(3) + 28 Simplify ((3*sqrt(143)*-1)/(-5*sqrt(44)/sqrt(4)))**2. 117/25 Simplify ((sqrt(490) - (sqrt(490)*-2 - sqrt(490))) + sqrt(490) - sqrt(490))/(-1*sqrt(50)). -28*sqrt(5)/5 Simplify ((sqrt(252) + 1)*5 - sqrt(252))**2. 240*sqrt(7) + 4057 Simplify 4*(sqrt(360) + sqrt(40))/sqrt(8). 16*sqrt(5) Simplify ((1*sqrt(147))/sqrt(7))/sqrt(7). sqrt(3) Simplify (sqrt(60) + sqrt(540)*-4)/(sqrt(1728) + (sqrt(1728) - sqrt(1728)*-2)). -11*sqrt(5)/48 Simplify (-4*-3*sqrt(11) + sqrt(11) + 3)**2 + -2. 78*sqrt(11) + 1866 Simplify sqrt(243)*4 + 1. 1 + 36*sqrt(3) Simplify 0 + (sqrt(1700) - (sqrt(1700) + 1)) + -2. -3 Simplify (-5*-2*sqrt(121))/sqrt(11). 10*sqrt(11) Simplify (sqrt(153) - ((0 + sqrt(153) - sqrt(153) - sqrt(153))*2 + sqrt(153))) + 5. 5 + 6*sqrt(17) Simplify sqrt(33)/(sqrt(3) + (sqrt(300) - -4*sqrt(300)) + sqrt(3)). sqrt(11)/52 Simplify 3 + -6*sqrt(9)/sqrt(3) - (-1 + (sqrt(3) - 2*sqrt(3)*-2)**2). -71 - 6*sqrt(3) Simplify 1 + 4 + (sqrt(128) + 0 + 1 + sqrt(162))**2. 34*sqrt(2) + 584 Simplify sqrt(475)*-5*1*2. -50*sqrt(19) Simplify (2 + (sqrt(11) - (-1 + sqrt(11) + sqrt(11))) + 4)**2. -14*sqrt(11) + 60 Simplify -1*((sqrt(225)/sqrt(5) - sqrt(45))/sqrt(9))**2. 0 Simplify (sqrt(77) - ((-2*sqrt(77)*-4 - sqrt(77)) + sqrt(77)))/(-2*sqrt(567)). 7*sqrt(11)/18 Simplify (-3*(3 + sqrt(1053))*3)**2. 4374*sqrt(13) + 86022 Simplify sqrt(49)/(sqrt(14)/sqrt(2)) + (sqrt(896)/sqrt(8))**2. sqrt(7) + 112 Simplify ((-2*sqrt(875) - sqrt(875)) + sqrt(875))/sqrt(5). -10*sqrt(7) Simplify 5 + (2 + sqrt(242) + 1 + sqrt(242))**2 + -1*sqrt(242) + 3. 121*sqrt(2) + 985 Simplify (sqrt(343) + -2 + sqrt(7))**2 + (-4*sqrt(112) - sqrt(7))**2. -32*sqrt(7) + 2475 Simplify sqrt(10)/sqrt(98) - sqrt(80). -27*sqrt(5)/7 Simplify (sqrt(104)/(sqrt(40)/sqrt(5)))**2*6. 78 Simplify ((-5*sqrt(224))/sqrt(2))**2. 2800 Simplify (sqrt(1100) + -4)**2 + -4. -80*sqrt(11) + 1112 Simplify -4*-1*(5 + sqrt(243)*-1). -36*sqrt(3) + 20 Simplify ((-1*sqrt(130)*-2)/(sqrt(1440) - -1*sqrt(1440)))**2. 13/144 Simplify 1*(sqrt(272) - (3 + sqrt(272)) - sqrt(272))**2*-3. -843 - 72*sqrt(17) Simplify (3 + (sqrt(1331) - sqrt(1331)*2*-6))**2. 858*sqrt(11) + 224948 Simplify 1 + (sqrt(19) - sqrt(76)/sqrt(4)) - (sqrt(19) - (sqrt(684) + 2 + sqrt(19))). 3 + 6*sqrt(19) Simplify (sqrt(65) - -3*(sqrt(65) - (sqrt(65) + sqrt(65) + (-2*sqrt(65) + sqrt(65) - sqrt(65)) + sqrt(65))))/sqrt(5). sqrt(13) Simplify (-4*(0 + sqrt(720) + sqrt(720)))**2*-3. -138240 Simplify (sqrt(7) + sqrt(56)/sqrt(8) + -1 - (sqrt(847)*-5 - sqrt(847)))**2. -136*sqrt(7) + 32369 Simplify 1*(sqrt(42)/((sqrt(36)*1)/sqrt(6)))**2. 7 Simplify sqrt(42)/sqrt(6)*6 - (sqrt(175) + 4). -4 + sqrt(7) Simplify -5 + (sqrt(78) - (sqrt(78) - (6*-1*sqrt(78) + sqrt(78) + sqrt(78))))/sqrt(6). -4*sqrt(13) - 5 Simplify sqrt(21)/sqrt(3) + 3 + sqrt(49)/(sqrt(7)*-1). 3 Simplify (-6*sqrt(30)/(sqrt(216)*-2))**2. 5/4 Simplify (sqrt(500) + 1 + -3)**2*4. -160*sqrt(5) + 2016 Simplify (sqrt(931)*1 - sqrt(931))**2*-6. 0 Simplify (1*sqrt(160)*-3)/(sqrt(72)*-2). sqrt(5) Simplify (-2 + 1 + sqrt(288))**2 + sqrt(288) + sqrt(288) - (sqrt(288)*1*1)**2. 1 Simplify sqrt(275) + -5 + (sqrt(1584) + sqrt(1584) + 0)**2. 5*sqrt(11) + 6331 Simplify ((sqrt(18)*-1)/sqrt(6)*-3)**2 - (-2 + sqrt(12)/sqrt(36)). -sqrt(3)/3 + 29 Simplify (3*sqrt(143)*2)/(sqrt(22)/(sqrt(4)/sqrt(2))). 6*sqrt(13) Simplify (-3*(sqrt(75) + sqrt(75) + sqrt(75)*-1 + -3))**2. -270*sqrt(3) + 756 Simplify sqrt(153)/sqrt(324) + ((sqrt(2057) - sqrt(2057)*-2)**2 - sqrt(2057)). -65*sqrt(17)/6 + 18513 Simplify (sqrt(1080)/sqrt(10))**2*-1. -108 Simplify (3 + -3*(-1 + sqrt(1700)) + -1)**2. -300*sqrt(17) + 15325 Simplify -4 + sqrt(19) + sqrt(57)/sqrt(3) + -1*(sqrt(475))**2 + 0. -479 + 2*sqrt(19) Simplify sqrt(65)/(1*sqrt(5)) + -3. -3 + sqrt(13) Simplify -2*(sqrt(112))**2 + (sqrt(7) + sqrt(7) + 3 + sqrt(7) + -1*sqrt(7))**2. -187 + 12*sqrt(7) Simplify -3*(sqrt(156)/(sqrt(12)*2))**2. -39/4 Simplify (-4*(sqrt(20) + 0) + -5)**2. 80*sqrt(5) + 345 Simplify ((2*(sqrt(156) + sqrt(156) + sqrt(156)*-2) + sqrt(156))/(((sqrt(96) - sqrt(96)*-1 - sqrt(96)) + sqrt(96))/sqrt(8)))**2. 13/4 Simplify ((sqrt(228) + (sqrt(228)*-2 - sqrt(228)))*1)/sqrt(12). -2*sqrt(19) Simplify (sqrt(1872) + -1 + 3 + sqrt(13) + 5)**2. 182*sqrt(13) + 2246 Simplify sqrt(114)/(sqrt(6) + sqrt(24)/sqrt(4)*-2). -sqrt(19) Simplify ((sqrt(80) - (sqrt(80)*-1 + sqrt(80))) + sqrt(20))/(-2*sqrt(16)/sqrt(4)). -3*sqrt(5)/2 Simplify (sqrt(363)/sqrt(44))/(sqrt(44)/(sqrt(8)/sqrt(2))). sqrt(3)/2 Simplify (sqrt(14) - (sqrt(14) + (sqrt(14) - (sqrt(14) - (1*sqrt(14) + sqrt(14))))))/sqrt(2) + 0 + sqrt(175). 3*sqrt(7) Simplify ((1*sqrt(133)*-2 - sqrt(133))/((sqrt(7) + 1*sqrt(7))*-2 - sqrt(7)))**2. 171/25 Simplify ((0 + sqrt(3))**2 - sqrt(3)) + 5 - 2*(sqrt(12)/sqrt(4) + sqrt(3)). -5*sqrt(3) + 8 Simplify -5 + sqrt(288) + sqrt(288)*1 + -3 + (sqrt(288) + (sqrt(288) - (sqrt(288) + -1)))**2. 48*sqrt(2) + 281 Simplify 6*(sqrt(99) + 1 + 2). 18 + 18*sqrt(11) Simplify sqrt(27)/(sqrt(9)*1) + (sqrt(432))**2. sqrt(3) + 432 Simplify sqrt(132)/(sqrt(768)*1 + sqrt(768)). sqrt(11)/16 Simplify 4*sqrt(52) - (-1 + sqrt(13) + sqrt(13) + 0)**2 - sqrt(65)/(sqrt(10)/sqrt(2))*-3. -53 + 15*sqrt(13) Simplify ((sqrt(45) + 2)*-5*6)**2*1. 10800*sqrt(5) + 44100 Simplify 1 + (sqrt(84) - ((-1*sqrt(84) + sqrt(84) + sqrt(84) - sqrt(84)) + sqrt(84))*3)/((sqrt(1200) - -1*sqrt(1200)) + sqrt(1200) + sqrt(1200)). -sqrt(7)/20 + 1 Simplify (-4*-5*-2*sqrt(19)*5)**2. 760000 Simplify ((-5 + 2*sqrt(19))*4)**2. -320*sqrt(19) + 1616 Simplify -2 + (0 + sqrt(99))**2. 97 Simplify (sqrt(325) + -4)*5. -20 + 25*sqrt(13) Simplify sqrt(3) - (sqrt(18)/(2*sqrt(6)))**2 - sqrt(6)/sqrt(50). -3/4 + 4*sqrt(3)/5 Simplify ((sqrt(44)/sqrt(4) + 4 + 2*sqrt(11)*3)*6)**2. 2016*sqrt(11) + 19980 Simplify sqrt(343) + sqrt(343) + 1 + (sqrt(448) + -2 + sqrt(448) - sqrt(448) - sqrt(448)). -1 + 14*sqrt(7) Simplify (-5 + -3 + sqrt(2) + sqrt(2))**2 + (sqrt(2) + (-3*sqrt(2) - sqrt(2)))*4. -44*sqrt(2) + 72 Simplify ((1*sqrt(27))/sqrt(9))**2 - (sqrt(9)/sqrt(3) + -3). -sqrt(3) + 6 Simplify 3 + sqrt(35)/sqrt(448). sqrt(5)/8 + 3 Simplify (sqrt(18) - (sqrt(18) + 1))**2*-2. -2 Simplify (sqrt(441)/(sqrt(28)/sqrt(4)))/(sqrt(9)*-3*-1). sqrt(7)/3 Simplify -4*sqrt(1377)*2. -72*sqrt(17) Simplify (sqrt(154)/(2*sqrt(7)))/sqrt(11). sqrt(2)/2 Simplify sqrt(343) + 1 + 1 - sqrt(343) - ((sqrt(224) + 2*sqrt(224))/sqrt(8))/sqrt(4). -3*sqrt(7) + 2 Simplify (-1*-2*sqrt(19) - sqrt(19))**2*-3. -57 Simplify (sqrt(1539) - (1 + sqrt(1539)))**2 - 1*sqrt(684). -6*sqrt(19) + 1 Simplify (-3 + -3*sqrt(153) + (-1 + sqrt(153))*3 + sqrt(153))**2. -36*sqrt(17) + 189 Simplify sqrt(66)/(sqrt(864)*2). sqrt(11)/24 Simplify -2*((-2*sqrt(7) + -3 - (2 + (sqrt(28))**2)) + 1). 4*sqrt(7) + 64 Simplify (sqrt(1728))**2*1. 1728 Simplify (0 + (sqrt(1260) + sqrt(35))/sqrt(7) + -4)**2. -56*sqrt(5) + 261 Simplify ((sqrt(1900) + sqrt(1900)*-1)*-4)**2 + sqrt(133)/(sqrt(14)/(sqrt(6)/sqrt(3))). sqrt(19) Simplify (-4*(sqrt(70) + -2*sqrt(70)))/sqrt(10) + 1. 1 + 4*sqrt(7) Simplify -2 + -2 + -4 + sqrt(171). -8 + 3*sqrt(19) Simplify (sqrt(198)*-5)/(sqrt(2) + sqrt(500)/sqrt(10) - sqrt(2)). -3*sqrt(11) Simplify sqrt(14)/(-6*(sqrt(2) - sqrt(50))). sqrt(7)/24 Simplify 0 + -1 + 2 + 0 + sqrt(700). 1 + 10*sqrt(7) Simplify 3 + ((sqrt(55)*-3)/sqrt(11) - sqrt(500)*-3). 3 + 27*sqrt(5) Simplify (0 + 2*sqrt(19) - (-5 + (sqrt(19) + 1 - sqrt(19))))**2. 16*sqrt(19) + 92 Simplify (sqrt(153)*-3 + -3)**2 + sqrt(34)
{ "pile_set_name": "DM Mathematics" }
ppose -5 + 20 = 5*a. Suppose -39 = -a*h + 24. What is the greatest common factor of 84 and h? 21 Let l(b) = -b**2 - b + 5. Let o be l(0). Let d = 37 - o. What is the greatest common factor of 4 and d? 4 Let t(u) = -u**3 - 5*u**2 - u - 7. Let p be t(-5). Let c be 33*((-8)/p + -1). What is the highest common divisor of 11 and c? 11 Let v = 4 - -6. What is the highest common divisor of 10 and v? 10 Suppose -120 = -3*n - 2*n + 5*a, 4*a = n - 12. Suppose k = 2*k - 14. Calculate the greatest common factor of k and n. 14 Suppose -5 - 15 = -p. What is the highest common factor of p and 20? 20 Let p be (5/(-25) + -1)/((-3)/80). Calculate the highest common factor of p and 2. 2 Let r be (1 - 2/2) + 9. Let f be -11 + (-2 + 8 - 3). Let p = 17 + f. What is the greatest common divisor of p and r? 9 Let f(v) = v**2 + v + 4. Let x be (-3)/(-6)*-1*12. Let b = 3 + x. Let w be f(b). What is the highest common factor of w and 4? 2 Let z(c) = c + 3. Let r = 3 - 3. Let v be z(r). Suppose -u = v*h + 2*h - 180, 3*u = 0. What is the highest common divisor of h and 12? 12 Suppose -10*j + 755 = 255. Calculate the greatest common factor of j and 30. 10 Suppose 2 = 2*y - 16. What is the greatest common divisor of 27 and y? 9 Let p(m) = -m**2 + 2*m**2 + 3*m - 4 + 1. Let k be p(-5). Let v(w) = 38*w + 1. Let y be v(2). Calculate the greatest common divisor of k and y. 7 Suppose 3*v + 2*i - 74 = 0, v + 2*v = 3*i + 54. Calculate the greatest common factor of 22 and v. 22 Suppose -8 = -2*w + 12. What is the highest common divisor of w and 2? 2 Suppose 4*d = d + 54. Let k = d - -32. What is the highest common divisor of 20 and k? 10 Suppose 0 = -3*f - 4*j + 60, 2*f = 3*j - 5*j + 42. Let c = -87 + 123. Calculate the greatest common factor of c and f. 12 Suppose 25*v = 21*v + 84. Let p = 35 + -14. What is the greatest common divisor of v and p? 21 Let g(v) = 60*v. Let i be g(1). Suppose i = -q + 2*q. Let f be (-24)/(-30) + 96/5. What is the greatest common factor of f and q? 20 Let k(n) = n**2 + 2*n + 1. Let b be k(-4). Let t be (3/b)/(3/126). Let z = 207 + -53. What is the greatest common factor of z and t? 14 Suppose -u + 1 = -0. What is the greatest common divisor of 9 and u? 1 Let k = 114 - 64. Suppose 4*z - 63 = 3*r, -5*z + 0 = 2*r - k. What is the greatest common factor of z and 84? 12 Let q(a) = -19*a + 8. Let i be q(-4). Calculate the highest common divisor of 12 and i. 12 Let y = -4 + 4. Suppose y = -3*h - 0*h + 78. What is the highest common divisor of 39 and h? 13 Let w(d) = 59*d - 30. Let j be w(6). What is the highest common divisor of 36 and j? 36 Suppose 5*c - 120 = 180. Suppose -c = -0*b - 2*b. Calculate the greatest common factor of b and 12. 6 Suppose 23 = -4*m + 59. What is the greatest common factor of m and 9? 9 Suppose 0*k + 6*k = 216. What is the highest common factor of k and 108? 36 Let s(a) = a**3 - 6*a**2 + 7*a + 3. Let f be s(6). What is the greatest common divisor of f and 15? 15 Suppose -w + 3 = -0. Let v be 2/w - (-48)/36. Let t = 3 - -1. Calculate the greatest common factor of t and v. 2 Suppose -h - 4 = -24. Let c(j) = -29*j**3 + 2*j**2 + 2*j + 1. Let o be c(-1). What is the highest common factor of o and h? 10 Let t be 9/12 + (-117)/(-4). What is the highest common divisor of t and 75? 15 Suppose -1 = 2*t - 3, 3*t - 583 = -5*u. What is the highest common factor of 29 and u? 29 Let r be 15/20 + (-17)/(-4). What is the greatest common divisor of r and 55? 5 Let c(g) = 2*g**2 - 3*g - 2. Let p be c(-1). Calculate the highest common divisor of 3 and p. 3 Let s = -26 - -39. Suppose -p = -5*r - 84, 0 = -3*p + 5*r + 176 + 116. What is the highest common divisor of p and s? 13 Let w(y) = y**3 + 3*y**2 - 5*y - 2. Let a be w(-4). Suppose 0*x - a*x + 26 = 0. What is the greatest common divisor of x and 52? 13 Suppose -4 = -w + 5*k, 5*k = -4*w + 4*k - 26. Let g(d) = -2*d. Let y be g(w). Calculate the highest common factor of y and 12. 12 Let q = 13 - 10. Suppose 0 = q*v - 38 - 106. What is the greatest common factor of 16 and v? 16 Let h(a) = -a**2 - 3*a + 1. Let q be h(-2). Let r(u) = 7 + u + q + 9*u**3 - 8*u**3 - 8*u**2. Let f be r(8). What is the highest common divisor of f and 45? 9 Let k be 6/(-27) - 40/(-18). Suppose -k*g + 468 = 2*g. What is the highest common divisor of g and 13? 13 Let m = 76 - -36. Let i be 2 + (-2)/(6/(-21)). Suppose -j + 5*t + i = -0*j, 25 = 2*j - 3*t. What is the greatest common factor of j and m? 14 Let q = 50 + -23. What is the greatest common factor of q and 297? 27 Suppose -387 = -23*b + 20*b. Calculate the highest common divisor of b and 43. 43 Let z(q) = 452*q**2 - 7*q + 3. Let d(b) = -301*b**2 + 5*b - 2. Let t(k) = 7*d(k) + 5*z(k). Let s be t(-1). Calculate the highest common factor of 14 and s. 14 Let u be 7 + (16/4)/(-4). Let w = -10 + 19. Let g = w - 6. What is the highest common divisor of u and g? 3 Let w be (45/(-4))/((-9)/48). What is the highest common factor of w and 20? 20 Suppose 4 + 2 = -2*v. Let z = v - 6. Let r = z - -19. What is the highest common factor of r and 10? 10 Suppose -4*c = 2*j - j - 4, -3*j + 28 = 4*c. Suppose 17 = -2*n + 77. What is the highest common factor of n and j? 6 Let n = 53 - 25. Suppose 8*j + 3*r = 3*j + 70, -r = -3*j + 42. Calculate the greatest common divisor of j and n. 14 Let x(i) = 2*i**2 - i + 2. Let q be x(1). Calculate the greatest common factor of 9 and q. 3 Suppose -5*c - 2*o = -115, -16 = c - 2*c + o. Calculate the greatest common divisor of c and 14. 7 Suppose n + 15 = 4*n. Suppose 2*w - 273 = -2*w + 5*v, -357 = -n*w + v. What is the highest common divisor of 9 and w? 9 Let p be -2 - (-30 + 0/2). Suppose 3*i - 8*i + p = 2*a, 0 = 4*i - 5*a + 4. Calculate the highest common divisor of 24 and i. 4 Let q be (-2172)/(-20) - 3/5. What is the greatest common factor of q and 12? 12 Suppose -4*v - 2*n = 174, 3*n = -4*v - 75 - 94. Let q be v/(-4) + (-1)/2. What is the highest common factor of 11 and q? 11 Let g(j) = -j**3 + 6*j**2 - 4*j - 5. Let b be g(4). Let o = 113 - 91. What is the highest common factor of b and o? 11 Let p(z) = -29*z - 216. Let x be p(-8). Let a = 29 + -21. What is the greatest common factor of x and a? 8 Suppose 2*r = -2*r - 4*a + 268, 4*r = 4*a + 292. Let w = 13 + -6. What is the greatest common factor of w and r? 7 Suppose -5*a + 2*d = 5, -3*a + d = -d + 7. What is the greatest common divisor of a and 4? 1 Suppose 0*r = -4*r. Suppose r*y = -2*y + 18. Let s be ((-78)/y)/(2/(-3)). What is the highest common factor of s and 13? 13 Suppose 3*i - 6 = -2*p, -3*i + 3*p = -0*p - 21. Calculate the highest common divisor of 4 and i. 4 Let u(t) be the first derivative of -t**3/3 + 5*t**2 - 7*t - 2. Let q be u(6). Let b be 2/9 - (-2750)/18. What is the greatest common factor of b and q? 17 Let l(k) = -k**3 - k**2 + 9*k + 4. Let i be l(-4). Calculate the highest common divisor of i and 40. 8 Let f(k) = -5*k + 1. Let j be f(-6). Calculate the highest common factor of 62 and j. 31 Suppose -5*s + 1 = -3*q - 15, 3*q + 14 = 4*s. Let o be 42/q*(-7)/21. Suppose -t - 35 = -2*t. Calculate the highest common factor of t and o. 7 Suppose 11*a + 112 = 15*a. What is the highest common divisor of 112 and a? 28 Let x be (-4)/14 - (-1000)/70. Let c be x*(-2)/(8/(-4)). Suppose 0 = 4*i, -5*i - 152 + 12 = -2*d. Calculate the greatest common divisor of c and d. 14 Let p be ((-60)/(-7))/((-3)/(-42)). Calculate the highest common divisor of 30 and p. 30 Let i = -2 - -22. Let o be i - -1*(5 + -2). What is the highest common divisor of o and 46? 23 Let z be 1/(1/4)*22. What is the highest common factor of 8 and z? 8 Let c be (2/(-3))/((-2)/51). What is the greatest common divisor of c and 34? 17 Let i be 1 - ((-4)/4)/1. Calculate the highest common factor of i and 4. 2 Suppose 3*y + u = 5*u + 81, y = -4*u + 43. Suppose 4*q = y + 33. Calculate the highest common factor of 144 and q. 16 Let k be (-2)/((-3)/(-6)*-2). Let h be k + 4 - 12/(-4). Let y(b) = 21*b**2 - 2*b + 1. Let u be y(2). Calculate the highest common factor of u and h. 9 Let p(n) = -n + 6. Let y be p(8). Let l be (-5)/((3 + y)/(-5)). Suppose -5*q = -15 - l. What is the greatest common factor of q and 8? 8 Let t(u) = -4*u + 3. Let d(n) = -77*n + 56. Let f(j) = -3*d(j) + 56*t(j). Let g be f(1). Suppose -g - 4 = -z. Calculate the gr
{ "pile_set_name": "DM Mathematics" }
ct the terms in -2312*b - 373*b**3 + 778*b + 755*b - 150*b**3 + 779*b. -523*b**3 Collect the terms in -791*b**3 + 319*b**3 - 12*b**2 + 1446*b**3. 974*b**3 - 12*b**2 Collect the terms in 33*g + 181154*g**3 - 33*g. 181154*g**3 Collect the terms in 42203939596*t**2 - 26*t**3 - 42203939596*t**2. -26*t**3 Collect the terms in 3018 + 2998 + 2998 - 12015 + 37*l + 3001. 37*l Collect the terms in 757769*d**3 + 108592*d**3 - 73479*d**3. 792882*d**3 Collect the terms in -11 - 69723*p**2 - 4 + 15 + 69494*p**2. -229*p**2 Collect the terms in -9997*q**2 - 55786*q**2 + 65798*q**2. 15*q**2 Collect the terms in 515*s + 505*s - 1661*s + 661*s + 2. 20*s + 2 Collect the terms in -983279721752 + 983279721752 + 9*t**2. 9*t**2 Collect the terms in 152926687603 + p**3 + 0*p**3 - 152926687603. p**3 Collect the terms in -156*f**3 + 13 - 3 - 1 - 9 + 52*f**3. -104*f**3 Collect the terms in 3*f**2 + 1974*f - 1001*f - 40 - 978*f. 3*f**2 - 5*f - 40 Collect the terms in -10*r**2 - 8 + 8*r**2 - 25*r - 30*r - 27*r + 64*r + 8*r**2. 6*r**2 - 18*r - 8 Collect the terms in -113*t + 16354*t**2 - 7317*t**2 + 113*t - 9038*t**2. -t**2 Collect the terms in j - 2*j + 7*j + 3*j + 323*j**2 - 9*j. 323*j**2 Collect the terms in 22635*v**2 - 145*v**3 - 22638*v**2 - 28*v**3 - 16*v. -173*v**3 - 3*v**2 - 16*v Collect the terms in -5484 - 4583 + 180*z + 10067 - 178*z. 2*z Collect the terms in -123885*d**2 + 41279*d**2 + 41333*d**2 + 41278*d**2. 5*d**2 Collect the terms in -481096*y**2 - 481082*y**2 - 481036*y**2 + 1443285*y**2. 71*y**2 Collect the terms in -23 + 8 - 933*j**2 + 1760*j**2 + 15 - 841*j**2. -14*j**2 Collect the terms in 608*h**2 - 5827*h**2 - 7212*h**2. -12431*h**2 Collect the terms in -4378*j**2 + 276*j**2 + j - 391*j**2 - 3384*j**2 - j. -7877*j**2 Collect the terms in 110470*w - 54491*w - 54347*w. 1632*w Collect the terms in 1 - 2157*s**2 - 637*s**2 - 903*s**2 - 1. -3697*s**2 Collect the terms in -6948*i**2 + 3474*i**2 + 3504*i**2. 30*i**2 Collect the terms in 6 - 1886*g**2 + 36*g**3 + 6 - 301*g**2. 36*g**3 - 2187*g**2 + 12 Collect the terms in 2 - 2 - 2844*w - 3550*w + 9247*w - 2833*w. 20*w Collect the terms in -1173 + 388 + 397 + 388 + 20*d**2. 20*d**2 Collect the terms in 7432*v - 310*v - 250*v + 36. 6872*v + 36 Collect the terms in 1447 + 829 - 736 + 2298 - 2*a. -2*a + 3838 Collect the terms in -5997371730 - 11*r**2 + 5997371730. -11*r**2 Collect the terms in -51*o + 154*o + 137*o + 256*o + 26 + 430*o. 926*o + 26 Collect the terms in 8340858*a - 27*a**2 - 8340858*a + 73*a**2 + 39*a**2. 85*a**2 Collect the terms in -750556*a**2 - 892814*a**2 - 174711*a**2. -1818081*a**2 Collect the terms in 322*w**3 - 1608*w**3 + 311*w**3 + 314*w**3 + 321*w**3 + 342*w**3. 2*w**3 Collect the terms in 6939*m**2 + 5*m - 5*m - 3723*m**2 - 3685*m**2. -469*m**2 Collect the terms in -18 - 27 + 34*b**2 - 20 - 11*b**2 + 65 - 20*b**2. 3*b**2 Collect the terms in -131502804*v + 3 + 2 + 131502810*v - 5. 6*v Collect the terms in -29*i**2 + 177*i + 307*i - 22*i**2. -51*i**2 + 484*i Collect the terms in 34596136*x**3 + 337*x - 34596137*x**3 + 331*x - 668*x. -x**3 Collect the terms in 411*d**3 - 339*d**3 + 341*d**3 + 676*d**3 + 288*d**3. 1377*d**3 Collect the terms in 36836*n**2 + 42*n - 42*n - 1094*n**2. 35742*n**2 Collect the terms in 8768*z + 6469*z - 201*z - 985*z - 1420*z. 12631*z Collect the terms in 13 - 13 - 15*b**2 + 11*b**2 - 9838*b. -4*b**2 - 9838*b Collect the terms in 1976*l**2 + 503*l**2 + 7770*l**2. 10249*l**2 Collect the terms in 12157267*i**2 + 12158240*i**2 - 24315505*i**2. 2*i**2 Collect the terms in 3525*d - 7390*d - 4882*d. -8747*d Collect the terms in 69 - 50 - 41*l**2 - 113*l**2 - 23*l**2. -177*l**2 + 19 Collect the terms in -2*v - 13*v + 42*v - 19*v - 292*v**3 - 8*v. -292*v**3 Collect the terms in -322080655705 - 104*n**2 + 322080655705. -104*n**2 Collect the terms in -4404 + 1364 - 1665 - 1536 + 1220 - m. -m - 5021 Collect the terms in -2996 - 1806 + 2400 + 2402 + 3*o - 2*o. o Collect the terms in -12846*y + 12846*y + 2061*y**2. 2061*y**2 Collect the terms in -2 + 0 - 5 - 10 - 37572*n**2. -37572*n**2 - 17 Collect the terms in 3095*a - a**2 - 1364*a - 1440*a. -a**2 + 291*a Collect the terms in -1240*w + 596*w - 13 + 9 + 604*w. -40*w - 4 Collect the terms in 6 - 95986*w**2 - 6 + 1548*w**2. -94438*w**2 Collect the terms in -5*p**2 + 0*p**2 + 26*p**2 - 11*p**2 + 0*p**2 - 14 - 8*p**2. 2*p**2 - 14 Collect the terms in -908*l**2 + 455*l**2 - 1152 - 426 + 421*l**2. -32*l**2 - 1578 Collect the terms in -2*m + 4*m - m + 114 + 4*m - 3*m. 2*m + 114 Collect the terms in -212296*a**3 - 7229708*a**3 - 3189774*a**3. -10631778*a**3 Collect the terms in -44 - 14*n**2 - 6*n + 11*n - 4*n - 7. -14*n**2 + n - 51 Collect the terms in 1033 - 4*p - 34*p**2 - 527 - 506 + 10*p**2. -24*p**2 - 4*p Collect the terms in 1025 - 1025 - 1071*r - 2753*r. -3824*r Collect the terms in 173 - 188 + 15 - 81402*y**2 + 81401*y**2. -y**2 Collect the terms in -184 + 13*h**2 + 289 - 108. 13*h**2 - 3 Collect the terms in 37 - 8 - 2804*q + 2540*q - 29. -264*q Collect the terms in 47592434877*t**2 - 27*t**3 - 47592434877*t**2. -27*t**3 Collect the terms in -223*m**2 - 220*m**2 + 885*m - 222*m**2 + 667*m**2 - 885*m. 2*m**2 Collect the terms in -4 - 10880*r - 26322*r + 2 + 2. -37202*r Collect the terms in 145*r - 145*r**2 + 58*r**2 - 458*r**2 - 145*r. -545*r**2 Collect the terms in 24*n**3 - 35*n**3 - 1987 + 10*n**3 - 2*n**2. -n**3 - 2*n**2 - 1987 Collect the terms in 17 - 86 + 23 + 21 + 25 - 127*a. -127*a Collect the terms in -60 - 73 + 4*g + 193 - 60 + 33*g. 37*g Collect the terms in -1141 + 24*z + 2316 - 1163. 24*z + 12 Collect the terms in 172507*a + 379852*a + 49607*a + 17105*a. 619071*a Collect the terms in 143*j**2 - 138*j**2 - 37 - 290*j**2 - 101. -285*j**2 - 138 Collect the terms in -89*r - 63*r**3 + 112*r**3 + 81*r**3 - 86 + 86. 130*r**3 - 89*r Collect the terms in -2*c - 238 - 5268*c**3 + 2*c + 5233*c**3 + 69*c**2. -35*c**3 + 69*c**2 - 238 Collect the terms in 20136*y - 6901*y - 4433*y. 8802*y Collect the terms in -41109 - r**3 + 19484 + 25937. -r**3 + 4312 Collect the terms in -61061*y - 16230*y + 1297*y + 1924*y. -74070*y Collect the terms in 658*f - 321*f + 63 - 327*f. 10*f + 63 Collect the terms in -117706*k**2 + 28*k**3 + 117706*k**2 - 14*k**3. 14*k**3 Collect the terms in 5 + 374*z**2 - 363*z**2 + 4*z - 12*z**3 - 759*z**2 - 2. -12*z**3 - 748*z**2 + 4*z + 3 Collect the terms in -727*a - 468*a - 775*a + 8 - 487*a. -2457*a + 8 Collect the terms in -345*i - 535*i + 1253*i. 373*i Collect the terms in 2658*i**2 + 4*i + 3977*i**2 - 6*i + 6570*i**2 + 2*i. 13205*i**2 Collect the terms in 488 - 275 + 0*t + 109 + 5*t + 383 + 219. 5*t + 924 Collect the terms in 298 - 110 - 5444*y - 83 - 105. -5444*y Collect the terms in -127 - 106 - 116 - 526*w**2 - 31*w**2 + 349. -557*w**2 Collect the terms in 6 + 11831268*m**2 + 2 - 5 - 11 - 11831264*m**2. 4*m**2 - 8 Collect the terms in -2*c + 370509*c**3 - 8*c + c - 145990*c**3. 224519*c**3 - 9*c Collect the terms in -277*j**3 - 288*j**3 - 279*j**3 + 923*j**3 - 93*j**3. -14*j**3 Collect the terms in -6777*l**2 + 378 + 2430*l**2 - 1108 + 349 + 381. -4347*l**2 Collect the terms in -4946*s - 1648*s - 12225*s + 3609*s - 6777*s. -21987*s Collect the terms in 36556829314653 + k - 36556829314653. k Collect the terms in 123*b**3 - 4 - 2*b + 0 - 413*b**3 - 5 - 4. -290*b**3 - 2*b - 13 Collect the terms in 212 - 2*k**2 + 216 + 205 - 33 - 808 + 208. -2*k**2 Collect the terms in -3159 + 12*w + 26*w**3 + 995 - 12*w - 8*w**3. 18*w**3 - 2164 Collect the terms in 21270*s**2 + 5840*s**2 + 42338*s**2. 69448*s**2 Collect the terms in 743*n + 2 - 2048*n + 627*n + 725*n. 47*n + 2 Collect the terms in 2*u**3 - u**2 + 5*u**2 - u**3 - 2323*u - 4*u**2. u**3 - 2323*u Collect the terms in -8*d**2 - 12573297*d**3 + 27*d**2 + 12573299*d**3. 2*d**3 + 19*d**2 Collect the terms in -20056765 + 20056765 + 5112*j. 5112*j Collect the terms in -1664525*t**3 + 832041*t**3 + 832481*t**3. -3*t**3 Collect the terms in 641*b**3 + 2969*b - 5938*b + 2969*b. 641*b**3 Collect the terms in 2355*r**3 + 624*r**3 + 1064*r**3 + 140*r**3. 4183*r**3 Collect the terms in 194 - 377 - 191*z + 294. -191*z + 111 Collect the terms in -1346*q + 24 + 422*q + 569*q. -355*q + 24 Collect the terms in 301609*g - 18*g**3 - 590950*g + 289341*g. -18*g**3
{ "pile_set_name": "DM Mathematics" }
olve 6040 = -695*g + 2007*g + 56656 + 81896 for g. -101 Solve -7709*p - 645*p - 190*p + 898470 = 1439*p for p. 90 Solve 11*b + 839154 - 839099 = 0 for b. -5 Solve -496 = -685910*g + 685926*g for g. -31 Solve -2931130 = -37*z - 2930908 for z. 6 Solve 0 = 13404*f - 11402*f - 200200 for f. 100 Solve 878*p + 706*p = -10755 - 212589 for p. -141 Solve 0 = 1110*h - 106*h - 52208 for h. 52 Solve 16024 + 7814 = -822*v for v. -29 Solve -24738*v - 16813 = -24347*v for v. -43 Solve -309807*v + 61053 = -308508*v for v. 47 Solve -94979*g + 94183*g = 26268 for g. -33 Solve 773272*r - 20072 = 773465*r for r. -104 Solve 296*m = 36*m - 14820 for m. -57 Solve -221*m + 11123 + 10200 = 3494 + 1696 for m. 73 Solve 527 = 64*d + 2540 + 1189 + 62 for d. -51 Solve -4747 + 1201 = -52*r + 2958 + 516 for r. 135 Solve 4356 = 732*m - 864*m for m. -33 Solve -283*z - 2858 - 2556 - 9843 = 308 for z. -55 Solve -118*v - 43*v - 240 = -293*v + 12*v for v. 2 Solve -30576*w + 658632 = -22132*w for w. 78 Solve 9351*b + 150727 + 47025 - 54196 = 2515*b for b. -21 Solve 47199 = 9*n + 47352 for n. -17 Solve 0 = -675*y - 785*y + 48180 for y. 33 Solve 0 = -2249*a + 2566*a + 7291 for a. -23 Solve 0 = 289*g - 25018 + 4618 + 1591 - 13848 for g. 113 Solve 6924 + 20374 = 1418*l + 4610 for l. 16 Solve 1362*s + 186309 - 138639 = 0 for s. -35 Solve 111*s + 104102 - 106374 = 40*s for s. 32 Solve -283*p + 2851 + 7913 = -2254 for p. 46 Solve 144*j + 65986 = -107*j + 70002 for j. 16 Solve 140*z + 2109 = -39*z + 39*z - 691 for z. -20 Solve -148975 = 2594*v - 69*v for v. -59 Solve -38510*d + 113 = -38562*d - 147 for d. -5 Solve 133*m - 925*m - 58113 = 969*m for m. -33 Solve 2736*t + 6768*t = 1674*t - 140940 for t. -18 Solve -91846 + 7901 = 2322*h - 7319 for h. -33 Solve -1042*c - 1305*c = -251*c + 416*c + 253712 for c. -101 Solve 192770 - 190460 = 55*a for a. 42 Solve 17*n + 26*n + 310 - 1150 - 106 = 0 for n. 22 Solve -179*m - 24272 = 31144 - 64724 for m. 52 Solve 19*c = 378*c - 6462 for c. 18 Solve -4534 + 30886 = 785*h + 191*h for h. 27 Solve 98959 = 2485*f - 181846 for f. 113 Solve -38066 = -600*j - 16466 for j. 36 Solve -127*b = -1417 - 618 - 2476 - 950 for b. 43 Solve 153*u - 290*u - 2255 = -82*u for u. -41 Solve -4459*h - 24274 = 29234 for h. -12 Solve 107*m - 45*m + 91*m = 18*m - 1350 for m. -10 Solve -132*y - 1054 = -415*y + 142*y + 124*y for y. 62 Solve 17469*n - 45797 = 16352*n for n. 41 Solve 563*l - 35112 = -419*l + 716*l for l. 132 Solve -255*w - 232*w = 59*w - 41*w + 33330 for w. -66 Solve -1574354 = 87*x - 1575833 for x. 17 Solve -579*y - 35409 = 821*y - 179*y for y. -29 Solve 400*n - 23317 = 1150*n + 270 + 31163 for n. -73 Solve -144*o + 45*o - 20 + 5617 = 94*o for o. 29 Solve 20231*g - 280163 + 1003649 = -571298 for g. -64 Solve 40758 = -1044*g + 128 - 34538 for g. -72 Solve -3592*d + 20799 = 95058 + 52833 + 38140 for d. -46 Solve -11*o = -2489 + 1939 for o. 50 Solve 119*n = 48*n - 2698 for n. -38 Solve -2061 = -136*q - 56*q + 6195 for q. 43 Solve -243619 - 538801 = 11020*t for t. -71 Solve 840 - 3 + 710 = 144*y + 251 for y. 9 Solve 55*l + 6805 - 3235 + 4755 = -20*l for l. -111 Solve 9*q + 35216 - 35054 = 0 for q. -18 Solve -442186 = 9031*t + 180953 for t. -69 Solve 41815 + 24281 = 179*o - 665*o for o. -136 Solve -8870*k = 73691 + 236759 for k. -35 Solve 7*a + 276 = 3*a + 7*a + 354 for a. -26 Solve -6*a - 376 + 17 + 107 = 0 for a. -42 Solve 3428*a = 3424*a - 192 for a. -48 Solve 725*s - 270*s + 115516 = 2473*s - 78212 for s. 96 Solve -134*u - 5832 = 7379 - 4635 for u. -64 Solve -737*l + 16360 = 1969*l + 5536 for l. 4 Solve 67619 = -1733*h - 25963 for h. -54 Solve 56*z + 6*z = 56 + 23 + 45 for z. 2 Solve -1535*o = 1920*o - 558*o + 3318*o - 55935 for o. 9 Solve -15058 = -157*v - 9877 for v. 33 Solve 0 = 696*i - 1743*i - 97371 for i. -93 Solve -197*m + 40*m + 14001 = 202*m for m. 39 Solve -328*m = -732*m - 2020 for m. -5 Solve -6122*b + 22327*b = -1182965 for b. -73 Solve -163*s + 98 = -272*s - 120 for s. -2 Solve 28378 = 1777*k - 225*k - 44566 for k. 47 Solve 58*g + 33*g - 35*g = -44*g - 1300 for g. -13 Solve 187*h - 230 - 326 = 213 - 208 for h. 3 Solve 29*o = 74*o + 34*o + 632 for o. -8 Solve 17305*x - 34597*x = -17253*x - 2067 for x. 53 Solve -1234*v - 8778 - 3592 = 1240*v for v. -5 Solve -37*c - 11*c + 3822 = 50*c for c. 39 Solve -14471 - 51268 = 1084*g + 14223 + 18682 for g. -91 Solve -1160*d - 197*d + 5774 = 348*d - 4456 for d. 6 Solve -14590 = -1049*a - 7247 for a. 7 Solve 216*l + 212*l - 924 = 676*l - 226*l for l. -42 Solve -71*v + 503 = -107*v - 413 - 272 for v. -33 Solve 1140*m - 1996*m - 61542 = -1645*m for m. 78 Solve 5*i + 2494 = -53*i for i. -43 Solve -2897*l + 2918*l = 693 for l. 33 Solve -5899*s - 289 = -5879*s + 431 for s. -36 Solve 1082*s - 466*s - 4042 = 522*s for s. 43 Solve -7131*y + 380 = -7121*y for y. 38 Solve -792 - 1521 = 111*d + 2238 for d. -41 Solve 50*w - 2231 = -1481 for w. 15 Solve 1574481*g - 1955 = 1574396*g for g. 23 Solve -76*q + 239 = -894*q - 2215 for q. -3 Solve -185*n + 774*n + 10552 = -12419 for n. -39 Solve 20*g + 287*g + 85085 = 643*g + 599*g for g. 91 Solve 0 = 36661*b - 36336*b - 11700 for b. 36 Solve 158*z - 3*z = -61*z - 21143 - 3049 for z. -112 Solve -22*z + z - 2*z = 47*z - 4130 for z. 59 Solve 100*k + 190705 = -561*k - 2670*k - 75775 for k. -80 Solve 2354176 = 6657*r + 12799*r for r. 121 Solve 5125 = -958310*m + 958435*m for m. 41 Solve -273*v - 7759 = -8728 - 4587 - 8913 for v. 53 Solve 1237*u = 5659*u - 225522 for u. 51 Solve 1288032*n - 1287998*n = 306 for n. 9 Solve 60*y - 3602 - 1602 - 665 = -1189 for y. 78 Solve 237*z - 185*z = -41*z - 569*z + 19198 for z. 29 Solve -708*o + 538*o + 19980 = 2050*o for o. 9 Solve 3248 = 42*h + 40*h + 1968 - 3968 for h. 64 Solve 63614*u = 63507*u + 2541 + 3986 for u. 61 Solve 561159*h = 561203*h + 1848 for h. -42 Solve -107066 - 109738 = 2436*k for k. -89 Solve -1910*u - 3072 = -1074 + 1822 for u. -2 Solve -5667*l + 162821 = -1838*l - 66919 for l. 60 Solve 0 = -298*l - 33*l - 1117 + 10550 + 3807 for l. 40 Solve 23087*f = 1200*f - 2385683 for f. -109 Solve 6744*n - 6210*n - 15486 = 0 for n. 29 Solve 101*v + 28*v = -9*v - 7314 for v. -53 Solve 97616 + 149424 = 1930*w for w. 128 Solve 408*n + 240942 = -2681*n for n. -78 Solve -173*f - 133*f - 244555 + 284335 = 0 for f. 130 Solve -240*j - 6582 = -72*j + 57*j - 21882 for j. 68 Solve -2391*o + 7431 + 20236 = 5395 - 15984 for o. 16 Solve 338*p - 110521 = -66581 for p. 130 Solve -53*m + 172*m = -444*m + 91*m - 13216 for m. -28 Solve 388 + 205 - 177 = -26*l for l. -16 Solve -298691*v - 7650 = -298538*v for v. -50 Solve 3454 = -119*s + 1669 for s. -15 Solve -137*f = 15721 - 103 for f. -114 Solve -1424*h + 16918 - 6179 = -27709 for h. 27 Solve -13252*c + 868405 - 166638 = -543921 for c. 94 Solve -7776*y + 565413 = 5541 for y. 72 Solve -15*p - 1648 = 42*p - 52 for p. -28 Solve 6107*o = 7043*o - 103896 for o. 111 Solve 78 = 41*c + 164 + 767 + 254 for c. -27 Solve 58*f - 128 = -193*f - 417 - 464 for f. -3 Solve -371*t - 6940 = 13094 for t. -54 Solve -342050 - 255514 = -9054*q for q. 66 Solve -220*w + 614 = -46*w - 568 - 558 for w. 10 Solve 4543*n + 225569 = -260406 + 163422 for n. -71 Solve -55*g + g + 1981 - 307 = 0 for g. 31 Solve -32*d - 32*d - 21040 = 199*d for d. -80 Solve 246*u - 88466 = -798*u - 22*u + 72*u for u. 89 Solve -1478197 = 18573*g + 2551*g + 444087 for g. -91 Solve 33*v = -202 + 1258 for v. 32 Solve -10757*s + 10781*s = -72 for s. -3 Solve -137*p - 217*p + 713 - 1499 = 19392 for p. -57 Solve -28*v - 2967 - 2489 = 25*v - 2965 for v. -47 Solve 3746*l = -2318*l - 1516*l - 67187 - 46513 for l. -15 Solve 28*d + 159*d = -145*d - 32536 for d. -98 Solve -4959 = -164*i + 1437 for i. 39 Solve -777*p = -3257 + 25905 - 2446 for p. -26 Solve -292*j - 106328 + 101656 = 0 for j. -16 Solve 1351*x + 26*x = -31671 for x. -23 Solve -448*j + 32285 = -1035*j for j. -55 Solve 61678 - 3138 - 5552 = 2038*u for u. 26 Solve 8400 = -130*u - 3*u - 17*u for u. -56 Solve -268*m + 802*m - 1041 + 35834 + 6859 = 0 for m. -78 Solve -23004 = 651*z - 11937 for z. -17 Solve -550*t + 159*t = -8732 + 22417 for t. -35 Solve 45781 - 45286 = -45*f for f. -11 Solve 0 = 35*i + 47*i - 66*i - 1616 for i. 101 Solve 689*k - 244*k + 834*k + 136*k - 28300 = 0 for k. 20 Solve 96*k - 3768 = -15208
{ "pile_set_name": "DM Mathematics" }
+ 5 = -s*b - 2*k, 4*b + 5*k = 8 for b. -3 Suppose -2*y = -y. Let r(u) = 8*u - 6. Let x be r(7). Let g = x + -45. Solve -30 = 5*z + 2*v, y = -g*v + 4 - 29 for z. -4 Suppose -31 = -2*z + b, -5*z + 4*b = 3*b - 76. Let t be 0/(3/(z/10)). Solve 4*r = l - 10, 2*r + t = 2*l - 2 for l. -2 Let d = 5 + 0. Let m = 171 + -165. Suppose 2*p - m = 4*p, -w + p + 6 = 0. Solve 0 = -u - u + w*l + 16, d*u = -3*l - 2 for u. 2 Let b = 7415 - 7410. Suppose -3*w + 12 = -5*k, -5*k - 6*w + 12 = -3*w. Let n = k + 5. Solve n*i = 4*t - 41, 0*t + 9 = -b*i - 4*t for i. -5 Let s(p) be the first derivative of 4*p**2 - 40*p - 13. Let f be s(5). Suppose f*r = 3*r - l - 39, 0 = -l. Solve 3*q - 29 = -4*w, 5*q - q = 5*w - r for w. 5 Suppose l = -5*b + 57, -4*l = -0*b + 5*b - 63. Let g = b + -3. Suppose -3090*a = -3096*a + 162. Solve 0 = -4*h + g*h + 12, 4*n - 5*h - a = 0 for n. 3 Let u(s) = 4*s - 47. Let q be u(13). Suppose -q*d + 2*d = -5*j + 8, -4*j + 8 = -2*d. Solve -o + 2*o = h - 1, -2*o - d = -h for h. -2 Let v = 298 - 306. Suppose 0 = -2*n - 4*i + 4, -2*n + 22 = -5*n + i. Let b = n - v. Solve 4 = -f + 3*w, -b*w + w = 3*f + 2 for f. -1 Suppose -3*v + 150 = 15. Suppose 0 = -4*w + 4*z - 156, -3*z - 219 = 5*w - 0*z. Let n = v + w. Solve 4*y - n*a + 18 = 0, -14 = 3*y - 2*a - 1 for y. -3 Let h be (1/(-2))/(8 + 495/(-60)). Solve 4*t + u = -18, t + h*u + 10 = -u for t. -4 Let a = 133 - 133. Let o = -125 + 129. Let w(k) = k**3 + 5*k**2 + 3*k. Let z be w(-4). Solve -5*p + 9 = z*d, a*d + o*d = 2*p - 26 for d. -4 Let o = -3655 - -3664. Solve 0 = -d - 1, -d - o = 4*j - 4 for j. -1 Suppose -20 = -6*w + w. Let h be (-270)/(-33) + -5 + (-20)/110. Suppose -2*t - h*c + 44 = -6*c, 0 = w*c + 16. Solve 0*o - 4*l + 14 = -2*o, -4*l - t = 4*o for o. -5 Let i(w) = -2*w + 15. Let g be i(5). Let t be 0 - 5*3/60*-4. Let c be t + -4 - (-9 - -2). Solve -5*u = -30 + 10, c*u - 1 = -g*l for l. -3 Let p be (5/2)/(((-21)/78)/(-7)). Suppose -p - 10 = -5*h. Solve 2*b = -3*f - 2*f - 22, 4*f - b = -h for f. -4 Suppose -5*a = -49*b + 47*b - 17, 32 = 2*b + 2*a. Solve -10 = 5*z, 5*s - b*s + 3*z = 14 for s. -5 Let l(b) = 1 + 1 + 1408*b - 1407*b - 8. Let g be l(8). Suppose u - g*u = w - 2, 4*u = 4. Solve 2*t - d = 3*t - w, t - 3*d = 17 for t. 5 Suppose -94*j = -54*j - 120. Let p(w) = w**2 + 6*w + 5. Let b be p(-5). Let q be 6 + 2/(-1) + b. Solve q*z - 12 = 0, -j*z = -2*t - 2 - 3 for t. 2 Suppose -5*l + 2 = 2. Let s be 22 - 13 - (2 + -9). Solve 4*y + 0*i = 3*i + 8, 4*i + s = l for y. -1 Let c = 38173 - 38146. Solve -q = -4*m + 15, 0 = 2*m + c*q - 26*q - 9 for m. 4 Let w = -32027 - -32062. Solve 2*x = 7*x + t - 28, 0 = 4*x + 5*t - w for x. 5 Let g(c) = 2*c**2 - 10*c - 24. Let k be g(-3). Solve -4*a + 0*a = z + 17, -3*z = 3*a + k for a. -3 Suppose 7 = o + 5, 3*o = 3*a. Solve -d = 3*l + 9, 2 = 12*l - 10*l - a*d for l. -2 Let j be 2*5/(-110)*-11. Let n = -20 + 32. Let d be (4/12)/(j/n). Solve -4*p = t - 2, d*t = -2*p + 2*t + 4 for p. 0 Let c = -208 - -213. Suppose 0 = -c*x + 3*r + 6, -x = 2*x - 3*r. Solve 0 = 3*p + p - u + 21, 5*p + 35 = x*u for p. -4 Let h be (2 - (5 - 2)) + (-18 - -23)*1. Solve 0 = -4*g - 3*v - 3, 16*g - 14*g + 2*v + h = 0 for g. 3 Suppose 80*v - 78*v = 2*a - 4, 7*a = -v + 54. Solve 12*z + 33 = 2*n + 17*z, v*n - z - 15 = 0 for n. 4 Suppose 0*a + c - 5 = -3*a, 4*c = -a - 2. Suppose -6*u + 5*u - 108 = 0. Let t be (-24)/u + (-25)/(-9). Solve 0 = 3*h, a*h = t*q - 8 - 1 for q. 3 Let g = 35 + -60. Let j = 135 + -110. Let y = g + j. Solve y = -r + 5*r - s - 12, 5*r - 2*s = 15 for r. 3 Let a = -18284 + 18289. Solve -3*j = -a*t + 130 - 132, -t = j - 6 for t. 2 Suppose 0 = 27*p - 4273 + 11293. Let r = p + 263. Solve 2*b + 3*z = -3*b - 7, 0 = -r*b - 5*z - 1 for b. -2 Let u be ((-66)/(-8))/(-3)*12. Let p = u - -35. Let a = -18 - -67. Solve 2*v = -p*z - 2, 5*z = 4*v - 9 + a for z. 4 Let o be -3 + (-52)/(-16) + (-55)/(-4). Suppose 12 = 4*y, -4*q + o = 2*y - 8. Let w = 4 + -4. Solve w = -3*j - 2*l + 10, 5*j + 3*l - 11 = q for j. 0 Let v = -9793 + 9834. Solve -4 = -5*p - 4*r - v, 0 = -5*p - 5*r - 40 for p. -5 Let x be 4 + (-8)/(-4) + (-15)/((-150)/40). Solve 4*h = 6*k - 7*k - x, 5*h + 3*k = -9 for h. -3 Suppose -67*x - 519 = -70*x. Let n = -257 + x. Let r be (n/(-16) - 5) + (-1)/4. Solve 0 = 4*v - 4*a - 12, 5*v - 7 = -3*a - r*a for v. 2 Let y be (-323)/(-68) - (-1)/4. Let c be (0 - 12)*(-2)/8*2. Suppose 0 = y*m - c - 14. Solve 4*h - u = -3*u - 4, -u = m*h + 6 for h. -2 Suppose 11 = 5*l + 1. Let s(j) = -57*j + 6. Let h be s(-4). Let y = -228 + h. Solve 4*n + 7 = l*r - 3, -n - y = 3*r for n. -3 Suppose 175 = 19*m - 26*m. Let n = -51 + 31. Let g = n - m. Solve -h + 1 = g*q + 9, -h = -5*q - 12 for q. -2 Let r(p) = 2*p**3 + 4*p - 33 + 28 - 6*p**2 + 2*p**2 - 3*p**3. Let t be r(-5). Solve -5*v + 2*v - 6 = -3*g, t = -3*v - 3*g - 18 for v. -4 Let j(t) = -2*t**2 + 26*t + 32. Let m be j(14). Suppose 0 = 2*i - 5*g + 5, m*i - 2 = 4*g + 6. Solve 0*v - i*v = -o + 24, -v = 4 for o. 4 Suppose 126 = -100*w + 526. Solve 13 = -w*f + j, -3*j + 1 = -14 for f. -2 Let w be 2/(-15) - (1041/(-45) + -1). Let o = w + -24. Suppose 5 = 3*h + 2*k + 4, -k + 2 = 2*h. Solve o = 4*y + h*l + 12 - 1, -5*y = -l + 28 for y. -5 Let i(o) = -2*o**2 + 10*o - 13. Let r be i(4). Let k(y) = 6*y**2 + 19*y + 5. Let n be k(r). Let v = 75 - n. Solve 4*q + p - v = 0, 1 = 3*p + 4 for q. 4 Let u(o) = -27*o**2 - 14*o + 5. Let i be u(2). Let d = 133 + i. Suppose -r = -y - 11, -2*y + 15 = -5*y. Solve -d*p - j = 6, r = -3*p + 3*j - 12 for p. -4 Suppose 770 + 42 = -4*g. Let h = g - -203. Solve 2*f = f - 4*l + 15, h = -2*l + 6 for f. 3 Let m = -12 + -31. Let h = m + -3. Let x = h - -48. Solve -26 = -3*r + 5*g, -2*r = x*g + 2 + 2 for r. 2 Let p be (-6 + 3)/((-3)/15). Suppose 3*i + 13 = 28, -40 = -5*t + 2*i. Suppose 0 = 5*v - t - p. Solve -h + n = 1, -5*n - 47 = v*h - 2 for h. -5 Suppose 0 = -9*i + 8*i. Suppose v = 4*p - 6, i = 5*v - 4*p - p. Suppose -4 - 2 = -v*f, -3*u - 4*f + 24 = 0. Solve -5*x + 2*t = -17, u - 14 = -3*x + t for x. 3 Let p(s) = 2*s + 1. Let g be p(-2). Let x be (g + 2)/(2 - (-26)/(-12)). Solve -5*n + x = 2*z - 1, 0 = -2*n + z + 1 for n. 1 Let u = -16593 - -16597. Solve 0 = 3*p - 3*r - 9, 17*r = 21*r + u for p. 2 Suppose 0 = 3*t - 9 - 135. Let p = t + -45. Suppose 8*u = 7*u + 2. Solve -4*w + o = -17, 2*w + p*o + u*o + 19 = 0 for w. 3 Suppose -7*x + 83 = 41. Suppose -x*k + 9*k = 9. Solve n - 2 = 0, 4*n = k*c - 7 + 30 for c. -5 Suppose n - 20 = -4*n. Let c(a) = -a**2 - 224*a + 3846. Let t be c(16). Solve -r + n*l = 14, -3*l + 6 = -t*r + 3*r for r. 2 Let o(u) = u**3 - 4*u**2 - 9*u + 13. Let d be o(-6). Let v = 297 + d. Solve v*x + w + 6 = 2*x, -2*x - 18 = -2*w for x. -5 Let l(m) = -m**3 - m**2 + 3*m. Let n be l(-2). Suppose 5*u = 4 + 1. Let z be (0/u)/(n + 0). Solve z = -2*f + 5*w - 0 - 17, 0 = -4*f + w + 11 for f. 4 Let h(k) = -7*k + 23. Suppose -2*s + 135 = 127. Suppose 5*l = 5, 0*c - 10 = -2*c - s*l. Let f be h(c). Solve -2*u + 6 = f*q - 0, -5*u + 2*q = 13 for u. -1 Let l be 2/(-6)*(1 + -13) - 2*-1. Solve -n = -l*n - 15, 4*n + 2 = -5*k for k. 2 Let z be (0/(-9 - 5))/((-7)/((-28)/(-8))). Solve -12*p + 9*p = 2*c - 4, -2*c - 5*p + 8 = z for c. -1 Let t = -14238 + 14257. Solve 5*j - 4*c + t = 0, 4*j + 19*c + 12 = 23*c for j. -7 Let u(x) = 23*x - 443. Let a be u(49). Let y = -676 + a. Solve k - q = -y, 2*k + 2*k - 5*q = -36 for k. -4 Let d be ((-168)/(-364))/(4/312*9). Solve -d*t = -4*o + 20, o + 4*t = -13 - 2 for o. 1 Let n be 6019/(-26) - (-2)/4. Let x = 250 + n. Solve -2*b = -2, -4*i + b + x = i for i. 4 Let k = 244 + -242. Suppose 0 = -4*a + k + 14. Solve 2*b + 1 = -3*p, p - 3 = -a*b - 0*p for b. 1 Let o be (-5 - (-297)/55)*(-70)/(-4). Solve 0 = -4*v + 3*u + 1, v - u = -2*v + o for v. 4 Let f be (-5 - -1) + (2 - (5 + -9)). Suppose 3*y - 3*c - 3 = 0, 5 + 2 = -5*y + f*c. Let o be (-3)/9 + y*44/(-18). Solve 3*h - o - 10 = 4*d, 4*h - d = 1 for h. -1 Let n(t) = 3*t + 59. Let m be n(-19). Suppose -6 = s - 5*u, 0 = 7*s - 10*s + 5*u + m. Solve s*z = -2*w, 2*z - 9 + 1 = -3*w for z. -2 Suppose 206 = 5*t + 1721. Let a = t - -307. Solve -4*u + 4*d = a, -d = 2*d - 9 for u. 2 Let u = -7 - -17. Let h = u + -5. Suppose 5*n - 3 = 3*d + 7, -5*n + 4*d = -5. Solve 0 = -2*q + f - 5*f - 10, -h*q + n*f - 10 = 0 for q. -3 Suppose 0 = -6*y + 8*y - 34. Suppose 3*u = 3*o + 21, 10*u -
{ "pile_set_name": "DM Mathematics" }
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9 What is the tens digit of 192? 9 What is the hundreds digit of 72856? 8 What is the hundreds digit of 40562? 5 What is the tens digit of 113763? 6 What is the units digit of 375? 5 What is the tens digit of 21? 2 What is the hundreds digit of 177? 1 What is the units digit of 12237? 7 What is the units digit of 7487? 7 What is the tens digit of 81948? 4 What is the thousands digit of 3197? 3 What is the tens digit of 227? 2 What is the hundreds digit of 843? 8 What is the units digit of 1709? 9 What is the units digit of 454? 4 What is the tens digit of 877? 7 What is the hundreds digit of 1381? 3 What is the units digit of 5558? 8 What is the tens digit of 4878? 7 What is the hundreds digit of 221? 2 What is the thousands digit of 95156? 5 What is the tens digit of 426? 2 What is the tens digit of 46239? 3 What is the tens digit of 54627? 2 What is the tens digit of 26700? 0 What is the units digit of 724? 4 What is the tens digit of 10398? 9 What is the units digit of 6087? 7 What is the thousands digit of 18673? 8 What is the units digit of 6718? 8 What is the thousands digit of 7277? 7 What is the thousands digit of 7565? 7 What is the thousands digit of 42094? 2 What is the tens digit of 2206? 0 What is the units digit of 144? 4 What is the ten thousands digit of 89292? 8 What is the tens digit of 246? 4 What is the tens digit of 57636? 3 What is the tens digit of 3042? 4 What is the tens digit of 2030? 3 What is the thousands digit of 41241? 1 What is the hundreds digit of 998? 9 What is the hundreds digit of 47430? 4 What is the hundreds digit of 84263? 2 What is the thousands digit of 6071? 6 What is the thousands digit of 15968? 5 What is the thousands digit of 48978? 8 What is the tens digit of 27233? 3 What is the hundreds digit of 5012? 0 What is the ten thousands digit of 25052? 2 What is the tens digit of 4398? 9 What is the thousands digit of 1688? 1 What is the units digit of 86954? 4 What is the hundreds digit of 708? 7 What is the hundreds digit of 10449? 4 What is the ten thousands digit of 19690? 1 What is the tens digit of 23168? 6 What is the hundreds digit of 578? 5 What is the thousands digit of 10211? 0 What is the tens digit of 2733? 3 What is the thousands digit of 7067? 7 What is the units digit of 8604? 4 What is the thousands digit of 1425? 1 What is the hundreds digit of 2436? 4 What is the tens digit of 44116? 1 What is the hundreds digit of 742? 7 What is the thousands digit of 10103? 0 What is the hundreds digit of 3683? 6 What is the tens digit of 932? 3 What is the units digit of 3591? 1 What is the tens digit of 1539? 3 What is the hundreds digit of 5271? 2 What is the thousands digit of 1013? 1 What is the hundreds digit of 876? 8 What is the hundreds digit of 396? 3 What is the hundreds digit of 66836? 8 What is the thousands digit of 12282? 2 What is the tens digit of 2247? 4 What is the thousands digit of 1420? 1 What is the tens digit of 59? 5 What is the hundreds digit of 3950? 9 What is the thousands digit of 2293? 2 What is the units digit of 3255? 5 What is the thousands digit of 12815? 2 What
{ "pile_set_name": "DM Mathematics" }
Solve s - a = 1 for s. 5 Suppose -4*p + 34 = -14. Solve -4*f + p = -0*f for f. 3 Suppose -5*b + 5*t - 4 = -24, 4*b = 3*t + 18. Let g = 6 - b. Suppose 2*z + g = 4. Solve -h = -z*h - 4 for h. -4 Suppose -2*i + 2 + 2 = 0. Solve -i*x = 3 + 1 for x. -2 Let l = -83 + 88. Solve -9 = l*v - 4 for v. -1 Let n(q) = q**3 + 8*q**2 + 12*q + 6. Let i be n(-6). Solve -3*g + i = -6*g for g. -2 Suppose 4*z - 4*o - 24 = -0*o, -z + 2*o + 9 = 0. Suppose -z*j + 3 = n, -3*n + j = -2*j - 21. Solve 0 = 2*m + m - n for m. 2 Let m = -5 + 3. Let r(c) = -6*c**2 + c - 2. Let l be r(m). Let x = l + 43. Solve 3*k - x = -0*k for k. 5 Suppose -3*x + 4*x - 3*n = -2, -5*x - 4*n + 28 = 0. Solve x*c + 4 - 20 = 0 for c. 4 Suppose -4*r + 0 - 16 = m, 2*r = 4*m + 10. Suppose 20 = -5*w + k, 2*k + k = w - 10. Let z = r - w. Solve 0 = z*y - 7*y + 25 for y. 5 Let r(o) = -o**3 + 11*o**2 - 7*o - 3. Let y be r(10). Suppose -3*d - 5 = -4*d, g + 5*d - y = 0. Solve -a = -1 - g for a. 3 Suppose 9*o - 5 = 4*o. Solve -5 = m - o for m. -4 Let m(n) = 3*n + 3. Let f be m(5). Let h = f - 6. Let k be 4/(-10) + h/5. Solve -k*y - 3 = 3 for y. -3 Let z(b) = -b**2 - 15*b - 13. Let i(h) = 2*h**2 + 31*h + 25. Let c(q) = -2*i(q) - 5*z(q). Let g be c(-10). Let a = -6 - g. Solve 3*o - 6*o = -a for o. 3 Let t = 0 + 9. Solve -4*z = t - 5 for z. -1 Suppose 3*s = -2*s + 25. Solve -2*l + s*l = 0 for l. 0 Suppose 4*h + 2 = 2*g + 2*h, 4*g - 3*h = 7. Solve -s - g*s = -20 for s. 4 Suppose -12 = -o - 5*b, -b - 5 - 3 = -5*o. Let h = -2 - o. Let c = h - -4. Solve 2 = -p - c*p for p. -2 Let w = 8 - 0. Solve 2*x + w = 4*x for x. 4 Suppose 0 = -4*w + 5*w + 2. Let o(h) = -h**2 - 3*h - 2. Let l be o(w). Solve l*a = -2*a for a. 0 Suppose 20 + 50 = 7*k. Solve 2*x + 0*x - k = 0 for x. 5 Let g(i) = i + 5. Suppose 1 = -5*h + 21, h = 5*o + 19. Let p be g(o). Solve 2 = p*n - 6 for n. 4 Let l be (-48)/(-15) - 2/10. Solve -l*w + 2*w + 4 = 0 for w. 4 Suppose -3*x - x = 0. Let c(n) = -n**2 - n. Let j be c(3). Let b be j*-2*3/9. Solve -2*y + b = -x for y. 4 Let b(r) = 2*r. Let a be b(-1). Let w be a/8 + (-2)/(-8). Solve w = -3*f - 2*f for f. 0 Let c = 128 + -128. Solve 2*b = -c*b + 6 for b. 3 Let b(x) be the second derivative of -5*x**3/6 - 3*x**2/2 + 3*x. Let z be b(-2). Let h = 13 - 8. Solve -h*g + 2 - z = 0 for g. -1 Suppose 2*w - 5 = -u + 6, u = 3*w + 1. Solve -2*l - 10 = -u*l for l. 2 Let d(v) = -v - 2. Let h be d(-5). Suppose 0 = -l + 2*w - 3 - 5, 0 = -5*l + h*w - 19. Let b = l - -12. Solve -2*f + 4*f + b = 0 for f. -5 Let o(q) = q - 4. Let f be o(7). Suppose f*b - 2 = b. Solve -b = -4*i - 13 for i. -3 Let v = -1 - -5. Suppose -3*a + 0*a + 21 = 0. Solve v*s - a = 9 for s. 4 Suppose -2*m - 10 = 0, j - 5*m = -2 + 17. Let r = -8 - j. Solve -4*i + r = -6 for i. 2 Let i(x) = x + 8. Let c be i(4). Suppose 4*m = -3*q + 7*q + 32, q = -4*m + c. Suppose 0 = 4*b + 3*p - 2, 3*b - 16 + 4 = 3*p. Solve -b*h + 0 = m for h. -2 Let w = -72 - -74. Solve -w*y + 5 - 1 = 0 for y. 2 Let a(w) = w**3 - 15*w**2 + 25*w + 28. Let r be a(13). Solve t - r = 6*t for t. -3 Let i(r) = r - 9. Let a be i(11). Let l(n) = n**2 - 2. Let f(c) = c + 1. Let x(t) = -2*f(t) - l(t). Let j be x(-2). Solve -2*k + j = a for k. -1 Let a = -8 - -12. Suppose 0 = -3*n + a*g + 14, -4*g + 0*g = 5*n - 2. Solve -n*b = -3 - 7 for b. 5 Let l = 1 + -5. Let h(c) = c**2 + 5*c + 4. Let a be h(l). Solve -3*j + 2*j - 4 = a for j. -4 Let m = -5 + 5. Suppose -5*w + 9 = -3*b, -w + 2*b + 2*b + 12 = m. Solve -3*x + w = -9 for x. 3 Suppose -2*l - 2*l + 4*w = 8, -2*w + 4 = l. Suppose -3 + l = -y. Solve -3 = y*x - 6 for x. 1 Let l = -4 - -12. Suppose 1 = 3*d - l. Let a(y) = -y**3 + 4*y**2 - y + 1. Let j be a(d). Solve -j*s = -3*s for s. 0 Suppose 6*t + 20 = 4*j + 2*t, 2*j - 4*t = 18. Suppose 11 - j = 2*z. Let x = 14 - 8. Solve -z*s - 1 = -x for s. 1 Let i(s) = s**2 - 3*s - 4. Let a be i(3). Let u be a/(-10) - (-16)/10. Let m(n) = n**3 + 13*n**2 + 24*n + 24. Let h be m(-11). Solve -u = h*t - 0*t for t. -1 Suppose 9 = 3*s - j + 4*j, 5*j = -15. Solve 4*d - 10 = s for d. 4 Let m be (-1)/(-2) - 4/8. Suppose -3*t + t = m. Suppose -p = 5*q - 19, 0*q + p = -2*q + 7. Solve t = -q*u + 8 for u. 2 Let o be ((-30)/25)/((-8)/20). Solve 4*b = o*b + 5 for b. 5 Let h = 35 - 35. Solve -o + h*o = 0 for o. 0 Suppose 5*x = -3*d + 93, -3*x + d = 4*d - 57. Suppose 0 = 2*q, -3*o + x = -q - 2*q. Suppose 6*f - 5*f + 2 = n, 2*f - o = -3*n. Solve 6 = -4*j + n for j. -1 Suppose 0 = -6*o + 10*o - 12. Let z(y) = y**2 - 6*y. Let v be z(6). Solve o*p = -v*p for p. 0 Suppose -2*z + 3 = -3*t, -z = 2*z - 3*t - 6. Let x be -1*(1/(-1) + -4). Let i = x - 5. Solve i*w = z*w - 15 for w. 5 Let u = 5 + 0. Suppose -u*c - 25 = -2*i, c - 10 = -2*i + 3*c. Let g = -2 - -2. Solve -d + g*d - 1 = i for d. -1 Let b(a) = 2*a - 7. Let s be b(5). Suppose -r + 8 = -2*r + 4*p, -12 = -3*p. Suppose r = 5*j - 22. Solve -j*m + s*m + 3 = 0 for m. 1 Let v(s) = s**3 - 2*s**2 - 3*s + 4. Let d be v(3). Let w be d/10 + 110/(-25). Let m be (-2)/w - 11/(-2). Solve -4*h = -m*h for h. 0 Suppose d + 12 = 3*d. Let c = d + -4. Suppose -c = n - 5. Solve -n + 1 = 2*g for g. -1 Suppose 2*z + 7 + 2 = -y, -2*y = 5*z + 20. Let c(j) = -3*j + 2. Let u be c(z). Solve 0 = -4*w - u + 28 for w. 5 Let y(w) be the third derivative of w**6/120 - w**5/5 + w**4/2 - 4*w**3/3 + 4*w**2. Let v be y(11). Solve -v*g - 5 = 1 for g. -2 Let t be (-820)/(-45) + (-2)/9. Let b be (-4)/t + (-80)/(-36). Solve b*j + 0*j + 2 = 0 for j. -1 Suppose 2*t = t + 4. Let m(c) = 2*c**2 - 2*c + 4. Let g(s) = 2*s**2 - 2*s + 5. Let a(k) = -3*g(k) + 4*m(k). Let d be a(t). Solve -7*y = -2*y + d for y. -5 Let k be 3/(-3)*(-4 + 0). Let u(s) = -7 - 10*s**2 + 4*s + 20 - 5*s + s**3. Let o be u(10). Solve -k = -o*y + 7*y for y. -1 Suppose 2*q = -3*q - 2*h + 14, 0 = q + 3*h - 8. Let y = -3 + 9. Let p be ((-21)/6)/((-3)/y). Solve -q*n = -p*n - 25 for n. -5 Suppose 5*b + 0*j - 43 = 4*j, -3*j - 13 = -b. Suppose 5*d - d + 20 = 0. Let m = d + b. Solve -t = t + m for t. -1 Let j = 4 - -15. Let v = j - 19. Solve z + z - 10 = v for z. 5 Suppose -2*n + 2 = -f, 3*n - f - 6 = 2*f. Let z(c) = -4*c - 3. Let o be z(-2). Suppose d = -4*r + 9 + 6, -o*r = 4*d - 27. Solve 3*h = -n*h + r for h. 1 Let k be (1 - 1) + (0 - -2). Solve -k*r = -7 - 3 for r. 5 Let k be 20*-2*(-3)/6. Suppose 2*x + 3*p = -p + k, 2 = -x + p. Solve -x = -2*w + 2 for w. 2 Let u = 32 - 32. Solve u = -4*s + 5 - 1 for s. 1 Let u be (-1)/(-2)*(1 + -1). Suppose -2*m - g = g - 10, -2*m - 3*g + 15 = u. Solve m = -5*f + f + 4 for f. 1 Let m be (-2)/(-17) + 24/(-204). Solve 4 = -m*p + p for p. 4 Let c(g) = -g**2 - 8*g - 8. Let a be c(-6). Solve -a*f + f = 15 for f. -5 Let o(f) = f**2 + 3*f - 6. Let q be o(4). Let a be (-540)/(-130) - (-2)/(-13). Suppose -q = 2*g - a*g. Solve -3*c - g = -2 for c. -3 Suppose -2*d - 16 = 3*c - c, 9 = -3*c. Let q be d/((-15)/9) + 1. Suppose -z - 33 = -5*u + 24, -q*u + 5*z = -54. Solve -u - 4 = -3*x for x. 5 Let w(k) = 0 + 2*k**2 - k**2 + 5*k**2 - 4 + 10*k - k**3. Let g be w(7). Solve 5*j - g = -2 for j. 3 Let i = 3 - 3. Suppose 5*m - 6 = 2*b, 2*m - 4 = b - 2. Let n = i + b. Solve n*d = 6 + 2 for d. 4 Let d(m) = -2*m + 9. Let f be d(7). Let p = f - -8. Let n = -3 + p. Solve 4*w - 4 = -n*w for w. 1 Suppose v = -v. Suppose -y = -4*j + 3*y - 20, -3*j + y - 7 = v. Let q be j*(-6)/9*3. Solve -3 = -q*o + 1 for o. 2 Suppose -27 = -8*p - 3. Solve -p*j = 8 + 7 for j. -5 Let w = -13 + 13. Suppose -10 = -3*n - 4*r, n = -0*r - r + 4. Suppose n*o = 3*o. Solve o = -w*s - s + 4 for s. 4 Suppose 0 = j - 9 + 7. Solve 3*u + 2 = j*u for u. -2 Let m = -3 + 9. Let o be (-6 - (-4 - 11))/3. Solve -t + o*t - m = 0 for t. 3 Suppose -4*d = -4 - 0. Solve 4 = -x - d for x. -5 Suppose -211 + 217 = 3*v. Suppose 2*h - 12 = -2*z, 5*h + 4*z = 8 + 20. Solve 2*k + v = h for k. 1 Let a(r) = -3*r - 8. Let d be a(-4). Let m(f) = 2*f**2 - 4*f + 2. Suppose -4*l + 3*l + 3 = 0. Let p be m(l). Solve h - d = -p for h. -4 Suppose -x - 5 + 17 = 3*l, 2*x = 2*l + 8. Suppose -4*r - s = -5, -3*r + x = -s - 3. Solve r*o + 3*o + 5 = 0 for o. -1 Suppose -29 + 9 = -5*i. Suppose 0 = 2*p - i*y + 8, 4 = 5*y - 16. Suppose 0*t - p = -t. Solve t*m = 3*m + 5 for m. 5 Suppose 0 = -2*q + 7*q - 50. Let m be (1 + 0)*(-16)/(-4). Let h = m - 1. Solve -q - 5 = h*z for z. -5 Let l = 6 + -3. Suppose -3*t + l = -3. Solv
{ "pile_set_name": "DM Mathematics" }
h**3 Expand (-740 + 1921 + 288)*(g - g - g**4). -1469*g**4 Expand (0*i + 0*i + i**2)*(2 - 2 - 2*i**2) + 0*i**4 + i**4 - 2*i**4 + (0 + 0 - 2)*(-5 + 5 + 4*i**4) - 46*i**2 + 46*i**2 - i**4. -12*i**4 Expand (b**3 - b**2 + b**2)*(61*b + 53*b - 14*b - 24*b). 76*b**4 Expand (7 - 14 + 4)*(-163*n**2 + 4*n + 163*n**2 - 3*n**3 - 2*n**4). 6*n**4 + 9*n**3 - 12*n Expand (-24*n**2 + 46*n**2 + 41*n**2 + n + n**2 - n - n**2 + n**2 - 2*n**2 + (-4 + 1 + 5)*(-3*n**2 + n**2 + n**2) + 3 + 2*n**2 - 3)*(2*n**2 - 4*n + 4*n). 124*n**4 Expand (2*h - h - 3*h)*(-9569 + 9569 + 199*h). -398*h**2 Expand ((5*k + 0*k - k)*(-7*k - k + 4*k) + k**2 + 2*k**2 + 0*k**2)*(3 - 5 + 3)*(-2*k - k + 6*k). -39*k**3 Expand -5*u**3 + 4*u**3 + 3*u**3 + (-9 + 10 + 8)*(0*u - u - u)*(-32*u**2 + 424*u - 424*u). 578*u**3 Expand (0 - 3 + 4)*(20218 + 144*b - 20218) - b - 4*b + 3*b. 142*b Expand 38*w**2 + 3*w**2 + 13*w**2 + (-w + w + 2*w)*(-w + w - 2*w) + w - w - 2*w**2 + 0*w**2 + 2*w**2 - 4*w**2. 46*w**2 Expand (-2*w - 1 + 1)*(4*w - 6*w + 4*w) + 2*w**2 + 0*w**2 - w**2 + 2*w**2 - w + w + (-2*w - 16*w - 6*w)*(-2*w - 8*w + 4*w). 143*w**2 Expand (-h + 6*h + 7*h)*(6 - 3 - 4). -12*h Expand (-3*w + 0*w + 2*w)*(5*w - 2*w**3 - 5*w + (-2 + 2 + 3*w)*(-1 + 1 - 3*w**2) - 2*w**3 + 6*w**3 - 3*w**3 + 2*w). 10*w**4 - 2*w**2 Expand (2*b - 2*b - 18 - 2*b)*(-3 + 3 + 5*b). -10*b**2 - 90*b Expand (3 + 1 - 2)*(2*q**4 - q**3 + q**3) + (-4*q**3 + 2*q**3 + 0*q**3)*(-2*q + q + 2*q) + (3*q**4 - q**4 - 3*q**4)*(2 - 1 + 0) + 43*q**4 - 15*q**4 + 6*q**4. 35*q**4 Expand (-c**2 + 5*c**2 - 3*c**2)*(26 - 18 - 2*c + c)*(15 + 7 + 17 + (3 - 3 - 1)*(-2 + 2 - 2)). -41*c**3 + 328*c**2 Expand 5*o**3 - 3*o**3 - o**3 + (3*o - o + 4*o)*(o**2 - 14*o + 14*o). 7*o**3 Expand 5*f**2 + 0*f**3 + 8*f**5 + f**3 - 4*f**5 + 4*f + 2*f**5 - 4*f + (-f**3 + f**3 + 2*f**3)*(-2*f + 2*f + 2*f**2) - f**5 + 5*f**5 - 3*f**5. 11*f**5 + f**3 + 5*f**2 Expand -k**5 + 1 - 281*k + 281*k + (k + 3 - 3)*(-k**4 + 0*k**4 + 3*k**4) + 0*k**5 + k**5 + 0*k**5. 2*k**5 + 1 Expand (1 - 1 + m - 6*m + 4*m + 3*m - 2*m + m + 3*m + 4*m - 2*m - 3*m + 2*m + 2 - 2 + (-m + 3*m + 0*m)*(3 - 2 + 0))*(0 + 9*m + 10 - 8*m). 7*m**2 + 70*m Expand -5*j**3 - 2*j**3 - 2*j**3 + (1 + j**2 - 1)*(-5*j + 8 - 8) + 0*j + 0*j - 2*j**3. -16*j**3 Expand 2*g + 8*g - 72*g**2 + 71*g**2 + 1 + (-g**2 - g**2 + 0*g**2)*(-4 + 1 + 2). g**2 + 10*g + 1 Expand (-1 + 2 + 4)*(-548*v + 30 + 39 - 69). -2740*v Expand 90*u**2 - 16*u**2 + 100*u**2 - 14*u**2 + (0*u + u**2 + 0*u)*(1 + 0 - 2). 159*u**2 Expand (-2 + 3 - 3)*(-3 + 2*b + 4 - 2) + 11*b + 2*b - b. 8*b + 2 Expand (1 + 1 - 4)*(1 - v - 1) + 11*v - 2*v - 26*v - 5*v + 2*v - 3*v. -21*v Expand (-16*d + 12*d - 15*d)*(d**4 - 4*d**2 + 4*d**2) + (-d + d - 2*d**2)*(d**3 + d**3 - 4*d**3) + 5*d**5 + 12*d**3 - 12*d**3. -10*d**5 Expand (0*t**3 + t**3 + 6*t**3)*(113 - t + 105 - 230). -7*t**4 - 84*t**3 Expand (-5*a + 6 - 6)*(4068 + 656*a - 2033 - 2035)*(-3*a**2 + 6*a**2 - 2*a**2). -3280*a**4 Expand (0 + 3 - 5)*(23 + 2 - 1)*(-4*i - 3*i - 4*i)*(5*i + 2*i**3 - 5*i). 1056*i**4 Expand 2*j**3 - 3*j**2 + 3*j**2 - 176*j**3 - 79*j**3 - 443*j**3 + (0*j**2 + j**2 + j**2)*(0 + 0 - 2*j) - 2*j**3 - j**3 + j**3. -702*j**3 Expand (5*f - 403 + 377 - 4*f)*(f**4 - 4 + 4). f**5 - 26*f**4 Expand (-b + 2*b - 7*b)*(-86 + 116 - 109 - 6 + 0 + 4 + (-4 + 3 - 1)*(2 - 5 + 4)). 498*b Expand (5*j - j + 0*j + (0 - 3 + 4)*(2*j + 4*j - 4*j))*(-3*j + 7*j + 0*j). 24*j**2 Expand -33*m + 8*m**5 + 33*m + (m**2 + 4*m**2 - 3*m**2)*(2*m**3 - m**3 + m**3) - 2*m**5 - 3*m**5 + 4*m**5. 11*m**5 Expand (4*h**4 + 2*h**3 - 2*h**3)*(2 - 4 + 1)*(0 + 4 - 2)*(1 - 1 - 3). 24*h**4 Expand ((2*u**2 - 1 + 1)*(11 - 11 + 5*u) + 2*u**3 - 8*u**3 + 2*u**3)*(0 + 2*u + 0 + (-3 + 1 + 3)*(17 + 4*u - 17)). 36*u**4 Expand ((7 - 3 - 3)*(-2*s + 7*s - s) + 0*s + 3*s - s - 3 + 3 - 2*s)*(2*s - 5*s - 2*s). -20*s**2 Expand (-2 - 2 + 6)*(b + 2*b - b)*(-35*b**3 + 16*b**3 + 22*b**3 + 4*b**2). 12*b**4 + 16*b**3 Expand (1 - 1 - i)*(-4*i + 4*i - i) - 9*i - 5*i**2 + 9*i + 2*i**2 - 1 + 1 + (3*i**2 + 2*i**2 - 3*i**2)*(-2 + 1 - 2). -8*i**2 Expand (-f**2 - 5 + 2*f + 5*f**2 + 7)*(0*f + 2*f - 9*f). -28*f**3 - 14*f**2 - 14*f Expand (-15 + 11 - 19)*(-m + 5 - 5). 23*m Expand (-17*y**2 - 13*y**2 - 6*y**2)*(-24*y**2 - 19*y**2 + 11*y**2). 1152*y**4 Expand ((a - 3*a + 0*a)*(-2*a**2 - 2*a**2 + 2*a**2) - 3*a**3 + 2*a**2 - 2*a**2 + (4*a**2 - 3*a**2 - 3*a**2)*(-32*a + 7 - 7))*(1 - 2 + 0). -65*a**3 Expand (0 + 5 + 12)*(-2*i + i**3 + 2*i)*(4 - 1 - 2 + i). 17*i**4 + 17*i**3 Expand -h**4 - 1 + 20*h**2 + 6 - 2*h**2 + (-3*h + h + 0*h)*(0*h**3 - h**3 - 2*h**3) - 2*h**4 - 2*h + 2*h + (-1 - 1 + 0)*(-2*h**4 + 0*h**2 + 0*h**2). 7*h**4 + 18*h**2 + 5 Expand (-16*w + w - w**2 + 8*w)*(-2*w**3 + 6*w**3 - 6*w**3). 2*w**5 + 14*w**4 Expand -4*p**3 + 2*p**3 + 5*p**3 + (-117*p**3 - 93*p**3 - 164*p**3)*(-1 - 1 + 0). 751*p**3 Expand (-i**2 + 0*i**2 + 0*i**2)*(-4*i + i + i) - 460*i + 460*i + 27*i**3 + 5*i**3 + 6*i**3 - 3*i**3. 37*i**3 Expand -3*l**2 + l**2 - l**2 + 53*l**2 + 1708*l - 1708*l + (3 + 2 - 1)*(-2 - l**2 + 2). 46*l**2 Expand 10 - 10 - 6*t**3 + (-12*t - 25*t - 32*t)*(-5*t + 5*t + t**2). -75*t**3 Expand 4*s**4 + 4*s - 2*s - s + (5*s**2 + 3*s**2 - 5*s**2)*(-5*s**2 + 5*s**2 + 4*s**2). 16*s**4 + s Expand ((f**3 - f**3 - 2*f**4)*(1 + 0 + 0) + 5*f**3 + 8*f**4 - 5*f**3)*(-6 + 3 + 11)*(-3*f + 3*f - 2*f). -96*f**5 Expand (6*f**3 - 14*f**3 - 5*f**3)*(2*f - f + f)*(-5*f + 6*f + 2*f) - 2*f**2 - 6*f**2 - 38*f**5 + 40*f**5. -76*f**5 - 8*f**2 Expand 3*r**3 - r**3 + 3*r**3 - 32*r**3 - 27 + 27 + (-r**3 + r**3 + r**3)*(0 + 1 + 1). -25*r**3 Expand 12*f - 7*f - 10*f + 2 - 2 + f + (-f - 4 + 4)*(-2 + 3 + 1) - 2*f + f - f + (-4*f + 5*f + f)*(4 - 1 - 5 + (-2 + 5 + 0)*(0 - 1 - 1)). -24*f Expand (6*n - 5 + 5)*(3 - 2 - 2 + 0 + 3 - 4 + (5 - 1 - 2)*(2 - 5 + 2) + 3 + 3 - 5) - n - n + 4*n. -16*n Expand (1 + 2 - 4)*(0 + 0 - t) + (-3 - 3 + 2)*(0*t + 2*t - t). -3*t Expand (1 - 5 + 3)*(-2*v + 0*v + 0*v) - 68 + 54*v - 27*v - 25*v. 4*v - 68 Expand (-1 + 28*n**2 - 19*n**2 + 3)*(4 - 4 + n + (2 + 2 - 2)*(-5*n - 7 + 7)). -81*n**3 - 18*n Expand (0*s - 3*s + 4*s)*(216*s - 216*s + 146*s**4). 146*s**5 Expand (-3*j**2 + 2*j**2 - j**2)*(53*j**3 + 54*j**3 + 26*j**3) + (j + j**3 + j**2 - j**2)*(j**2 - 2*j**2 + 0*j**2). -267*j**5 - j**3 Expand -2*i**3 - 2*i**3 - 2*i**3 + (-2 - 1 + 5)*(6 - 3 - 2)*(2*i**3 + 15*i**3 + 3*i**3). 34*i**3 Expand (3*k + 1 - 1 - k + 2*k - 3*k + (-3 + 3 + 1)*(-2*k - 3*k + 3*k))*(-220 + 368 - 280). 132*k Expand (-380*y + 889*y - 730*y)*(2*y**2 - 4*y**2 + y**2). 221*y**3 Expand (-2*g**3 + g**3 + 3*g**3)*(344 - g - g + 6*g). 8*g**4 + 688*g**3 Expand (o**3 + 2*o**4 - o**3)*(-27663 + 27663 - 658*o). -1316*o**5 Expand (1 + 1 - 1)*(-97 + 8*d + 51 + 49). 8*d + 3 Expand (s**2 - s + s)*(2 + 25 - 10)*(-6*s**3 - 2 + 2 - 2). -102*s**5 - 34*s**2 Expand p**5 + p**4 - p**4 + (-34*p**4 - 77*p**4 + 19*p**4)*(32 - 32 - 5*p). 461*p**5 Expand (0 - j**2 + 0)*(14*j**2 + 142 - 142) + (3*j - 4*j - j)*(2*j**3 + 4*j - 4*j) - j**4 - 3 + 3 + 0*j**4 + 2*j**4 + 0*j**4 - j**4 + 2*j**4 + j**4. -15*j**4 Expand (-t**3 + t**3 + 3*t**3 + (-4 + 4 - 2*t)*(-6 + 6 + 2*t**2))*(-3 + 9 + 7). -13*t**3 Expand (n + 0 + 0 + (-n + 4*n - 5*n)*(3 - 3 + 1) - 4085 + 4085 + 52*n - n - 5*n + 5*n)*(n + 3 + 0 - 1 - n**2). -50*n**3 + 50*n**2 + 100*n Expand (-21*h + 27*h - 44*h**2 + 45*h**2 - 5)*(-h**3 + 0*h**3 + 5*h**3). 4*h**5 + 24*h**4 - 20*h**3 Expand (-2 + 5 - 5)*(15*c + 4*c - 10*c)*(1 + 2 + 5)*(-c - c + 3*c). -144*c**2 Expand (4*t**2 - 5*t**2 - 2*t + 4*t)*(-4*t - 2*t + 2*t)*(27*t**2 + 23*t**2 + 26*t**2). 304*t**5 - 608*t**4 Expand (212 + 219 - 29*f - 427)*(-5 + 3 + 1)*(-4 + 4 + f**2). 29*f**3 - 4*f**2 Expand 699 + 19*c**2 - 699 + (0 + 0 - c)*(0*c - 3*c + 4*c) + 3*c**2 - c + c**2 - 2*c**2. 20*c**2 - c Expand (51 - 51 + 12*r)*(4*r - 4*r + 2 - r**3) + 5*r**4 + 0*r**4 - r**4. -8*r**4 + 24*r Expand (-4*h + 0*h + 3*h)*(936*h**2 + 475*h**2 + 2894*h**2 + 1543*h**2). -5848*h**3 Expand (0*f + 4*f - 3*f)*(0*f**2 + 19*f**2 - 6*f**2 + (-7*f - 6*f + 4*f)*(-2*f - 3*f + 4*f)). 22*f**3 Expand (-111 + 134 + 212 + 112 + 718)*(-h**4 - 2*h**4 + 5*h**4). 2130*h**4 Expand -22 - s**3 - 3 - 9 + (-4*s + 2*s - 2*s)*(s**2 + 2*s - 2*s). -5*s**3 - 34 Expand i - i + i + (1 - 1 + 2*i)*(6 + 5 + 38) + i - 2*i + 3*i. 101*i Expand (-1 + 1 + 2*n - 5*n + n + 2*n - 3*n + 3*n + 2*n + (-3 + 0 + 1)*(1 - 1 + 2*n) + 3*
{ "pile_set_name": "DM Mathematics" }
= -k. Put -5, 0.2, f in decreasing order. 0.2, f, -5 Let q = 27 + -7. Let j = 9 - q. Let t = 11.3 + j. Sort t, -5, -1/4 in ascending order. -5, -1/4, t Suppose 3*s = -13 - 11. Let w = s + 6. Let x = 2 + -6. Sort w, 5, x in descending order. 5, w, x Let o = -4 - -3.97. Let r = 0.03 + o. Let k = -2 - 0. Sort k, r, 0.06. k, r, 0.06 Suppose -5*c = -c + 2*m, -3*c + 5*m + 13 = 0. Let p be 60/10 + c + -2. Sort -2, p, -5 in ascending order. -5, -2, p Suppose -23 = -n - 2*f - 3*f, -4*n + 4*f = 4. Sort 0.5, 0.1, n in decreasing order. n, 0.5, 0.1 Let j = -20 - -17. Sort 3/2, 3, -1/3, j in decreasing order. 3, 3/2, -1/3, j Let f = 116 - 115.7. Put 0.4, -3, -4, f in decreasing order. 0.4, f, -3, -4 Suppose -3*l + l - 4 = 0. Suppose -t + 0 + 2 = 0. Put t, -1, l in ascending order. l, -1, t Let n be (-3)/18 - (-125)/210. Sort -0.4, 5, n in ascending order. -0.4, n, 5 Let m(t) = 3*t. Suppose -4*y + 7 + 25 = 0. Suppose 2 + 1 = -i, 2*i = 2*z - y. Let f be m(z). Sort f, -5, -1. -5, -1, f Let s = 0.079 - -0.421. Sort -3, s, -1, 6 in decreasing order. 6, s, -1, -3 Let p = -37 + 44.5. Let i = p + -10. Let v = i - -3. Sort -0.5, 5, v. -0.5, v, 5 Let g(v) = -5*v - 21. Let a be g(-5). Put 0, a, -4 in increasing order. -4, 0, a Let l = 8 - 12. Put l, -0.3, 0.5 in ascending order. l, -0.3, 0.5 Let f = -12 + 8. Let i = 7.2 - 7. Sort -0.1, i, f in ascending order. f, -0.1, i Let m be (-88)/90 - (-8)/(-36). Suppose 5*h - 2*h = o - 12, 2*h = -4*o - 22. Sort h, 5, m. h, m, 5 Let d(m) = 4*m + 2. Let c be d(2). Sort c, 0, 5 in ascending order. 0, 5, c Suppose -4*a + 2*d = 7*d + 6, -2*a + d + 4 = 0. Let f be (-2)/4 + 21/6. Sort f, -4, a. -4, a, f Suppose 0 = 6*d - 4*d. Let x = -40 - -42. Put x, -2, d in descending order. x, d, -2 Let i = 1 - 2. Let y be (-6)/(-12) - (-25)/(-10). Sort i, -2/11, y in increasing order. y, i, -2/11 Let n = 0.3 - -0.1. Let x = n - 0. Let p = -3.01 + 0.01. Sort p, 0, x in descending order. x, 0, p Suppose s + 0*s = 3. Sort 0.5, s, -33, -1 in descending order. s, 0.5, -1, -33 Suppose 4*v = -l, -22 = -2*v + 4*l + l. Let q be v + (-5 - -2)*2. Let k be (-18)/q + 6/15. Put k, -5, 1 in increasing order. -5, 1, k Suppose -2*d = m - 8, m = -5*d + 3*m + 11. Sort -2, 0, d in decreasing order. d, 0, -2 Suppose 2*v = 2*h + 4*v - 2, -4*h - 5*v = -7. Let l(o) = -o**2 + 5*o + 1. Let a be l(5). Sort a, h, -1 in descending order. a, -1, h Suppose 3*w - 30 = 8*w. Let l = w - -1. Sort l, -4, 0 in descending order. 0, -4, l Suppose 5*j - 3*j + 4*m = -8, 3*m = -2*j - 5. Put -5, j, -1 in increasing order. -5, -1, j Suppose -4*p - 6 - 10 = 0. Suppose 3*b - 1 = 2*h - 2, 3*h + 4*b - 27 = 0. Suppose 3*c - 3*q = -7*q + 23, -h*c + 29 = 2*q. Sort p, c, -1. p, -1, c Let h be (2 - 0)*(-4)/(-68). Let c be (-28)/30 - (-6)/(-15). Put h, 0, c in descending order. h, 0, c Let s = 0.1 + -0.11. Let t = -0.37 + s. Let z = t - 0.02. Put -3, z, 2/7 in descending order. 2/7, z, -3 Let m(z) be the third derivative of -z**6/120 - z**5/60 + z**4/24 + z**3/3 + 2*z**2. Let j be m(-2). Let p = 5.8 + -6. Sort j, 3, p. p, 3, j Let d = -38 + 36. Put d, 0, 2 in descending order. 2, 0, d Let v = 0.9 + -4.9. Let x = 0.6 - 0.2. Let o = x + 0.6. Put 2/9, v, o in decreasing order. o, 2/9, v Let g(x) = -x**2 + 19*x - 39. Let o be g(17). Sort o, 2/15, 16, -3 in decreasing order. 16, 2/15, -3, o Let h(g) = g**3 + 3*g**2 - 6*g - 5. Let t be h(-4). Put 8, 5, t, -5 in ascending order. -5, t, 5, 8 Let y = -71 + 76. Sort 0.4, 0.04, y in decreasing order. y, 0.4, 0.04 Let b be ((-2)/(-4)*-2)/1. Let g = 5 + b. Put 0, -5, g in descending order. g, 0, -5 Let w(v) = -v**2 - 3*v - 3. Suppose -5*x + 6 = -3*f, 5*x = -2*f + 2 - 6. Let b be w(f). Sort -2/11, b, -5 in decreasing order. -2/11, b, -5 Let r(a) = a**3 - 3*a**2 - a + 3. Let z be r(3). Put 3, z, 2 in increasing order. z, 2, 3 Suppose -3*f + 2 = -f. Let x be (-9 - 1)*f/2. Put x, 4, -6 in decreasing order. 4, x, -6 Suppose 2*p + s - 3 = 0, 2*p - 9 = -2*p - 3*s. Suppose b + b - g - 11 = p, 4*g = -4*b - 8. Let k be (-1 + b)*(-1)/(-7). Put -1/3, -2/9, k in descending order. k, -2/9, -1/3 Let b = -0.05 + -0.05. Let u(t) = -t**2 + 5*t - 3. Suppose -2*v = -7 - 1. Let k be u(v). Put k, b, -3 in decreasing order. k, b, -3 Suppose -3*g - 9 = 7*c - 2*c, -2*g - 2 = 2*c. Suppose 4*h - 7 = -g*j + h, 4*h - 12 = 0. Let p be 13/5 + 4/10. Put -4, p, j in decreasing order. p, j, -4 Let z = 2 - 0. Suppose -25 = -31*m + 26*m. Put -5, m, z in decreasing order. m, z, -5 Let v = 0.05 + 0. Sort v, 0.4, 4. v, 0.4, 4 Let j = -0.1 - 0.2. Sort -4/5, -3, j in ascending order. -3, -4/5, j Suppose 0*m = 7*m + 9*m. Suppose 2 + 18 = -5*u. Sort m, 3, u. u, m, 3 Suppose h - 2*h + 5*d - 15 = 0, 2*d - 8 = 0. Put 0, h, 3 in descending order. h, 3, 0 Suppose -2*v + 3*v + 13 = -3*a, -3*a = -5*v + 25. Let o = 9 + a. Put o, -16, -4 in decreasing order. o, -4, -16 Let g = 1/305 - 1223/915. Sort g, -2/7, -3 in decreasing order. -2/7, g, -3 Let h be (-4)/14 + 26/(-7). Let s be h/6 + 20/18. Sort 0.1, s, -3/5 in increasing order. -3/5, 0.1, s Let x(t) = -10*t**2 - 18*t - 15. Let j(r) = -7*r**2 - 12*r - 10. Let g(z) = -7*j(z) + 5*x(z). Let b be g(-6). Sort -2, 5, b in ascending order. b, -2, 5 Suppose 2*r = -r. Suppose 0*q + q + 3 = r. Suppose l - 2 + 3 = 0. Sort 3, l, q in decreasing order. 3, l, q Let h be 3*5/(-2)*112/60. Sort h, 5, 2 in increasing order. h, 2, 5 Let t be (7 - 2)*(-2)/(-2). Suppose -82 + 22 = t*d. Let q be (-8)/3*1/d. Put q, 2, 3 in ascending order. q, 2, 3 Let o be ((-2)/6*-1)/1. Let l = -0.16 - 0.04. Put o, 2/21, l in increasing order. l, 2/21, o Let y be 1/(-2) - (-44)/(-8). Sort -2, y, -4. y, -4, -2 Let b = -797/9 + 89. Sort 1, b, -4 in decreasing order. 1, b, -4 Let g = -14.61 - 0.39. Put g, -0.5, -1/3 in decreasing order. -1/3, -0.5, g Suppose -i = -4*y + 9, 5*i + 30 = 5*y - 0. Sort i, 4, 7 in decreasing order. 7, 4, i Let w = 22 + -33. Sort w, -5, -2 in ascending order. w, -5, -2 Let u = 8 - 5. Let l = 2 - u. Put 4, l, 0 in ascending order. l, 0, 4 Let l = -1/2 - 0. Let d = -7 - -7.3. Put l, 0, d in descending order. d, 0, l Let g = 63 - 67. Sort g, 6, -1, 4 in descending order. 6, 4, -1, g Suppose 63*a - 75 = 68*a. Sort a, 2, 0. a, 0, 2 Let z = -9 + 4. Sort 2/3, z, -4 in increasing order. z, -4, 2/3 Let q be (4/16*0)/(0 - -2). Sort -4, -11, q in ascending order. -11, -4, q Let n = 0.07 - 0.47. Sort 13, n, -3 in ascending order. -3, n, 13 Let u = 0.4 + -0.2. Let z = 8.9 - 10. Let s = 1.2 + z. Put -2, s, u in descending order. u, s, -2 Let u be -1*3/(51/(-2)). Let l = -0.8 - -0.3. Let d = 1 + l. Put -1/11, d, u in ascending order. -1/11, u, d Let z(b) = 2*b**3 + 15*b**2 - 6*b + 12. Let m be z(-8). Let s be 0 + -2*(-1 + 2). Put -5, m, s in descending order. s, m, -5 Let m(o) = 2*o - 12. Let u be m(4). Put 0, -1, u, -7 in decreasing order. 0, -1, u, -7 Let b(f) = f**3 - 11*f**2 - 11*f - 14. Let y be (-15 + -1)*3/(-4). Let i be b(y). Let w be i + -1*22/(-12). Put -0.1, 2/11, w in increasing order. w, -0.1, 2/11 Suppose -3*p = -3*x - 21, 2*p - 9 = x - 0. Suppose -3*m + 43 = 5*k - 9, 0 = 5*m + 2*k - 55. Suppose 0 = p*f - 5*f + m. Put f, -1, 0.4 in descending order. f, 0.4, -1 Let q = 29 - 21. Let y = q + -8.5. Sort -2/9, 0.4, y in descending order. 0.4, -2/9, y Let i = 4/15 - -59/60. Sort 0.5, 4, i in increasing order. 0.5, i, 4 Let c be 10/3*9/6. Let q(d) = 3*d**2 + 6. Let h(s) = 4*s**2 - s + 6. Let m(p) = -4*h(p) + 5*q(p). Let o be m(c). Sort o, -3, 2. -3, o, 2 Let c = -0.31 + -3.69. Put 4, -8/5, c in decreasing order. 4, -8/5, c Suppose -3*t - 10 = 4*f + 1, -5*f - 14 = 4*t. Sort -3, f, 1. -3, f, 1 Suppose -4*d - 2*s + 18 = 0, -5*d - 3*s + 29 = 7. Suppose 5*v - 12 = 3*a, 2*v + 4 = -d*a + 4*a. Put -2, -3, a in descending order. -2, -3, a Suppose -5 - 7 = -3*i. Let a = -5 - -6. Suppose -2*f + 1 = 5*c + 16, 5*f = -4*c - 12. Sort i, f, a. f, a, i Suppose -4*k + 10 = k. Let q = -1 + k. Let z(v) = -2*v**2 - 7*v - 4. Let b be z(-3). Sort b, -5, q. -5, b, q Suppose 3*r - 2 = 2*z, -4*z + 9*z = -r - 5. Suppose 3*c + 4*w = 6, c - 4*w + 4 = 3*c. Suppose c*g = 7*g - 15. Put g, z, -3 in decreasing order. g, z, -3 Suppose 4*m - 12 = 8*m, 0 = 3*t + 3*m + 21. Suppose 2*c + 3*c = -h + 3, 4*h + 5*c = 27. Suppose k + h = -3*k. Sort 1, k, t in increasing order. t, k, 1 Let c(s) be the second derivative o
{ "pile_set_name": "DM Mathematics" }
t of -1.1 and 13782? -15160.2 1.629 * 31.2 50.8248 6313*-11 -69443 Calculate -6*4017. -24102 20 times -395 -7900 What is the product of 4 and -8666? -34664 Calculate 0.36*4385. 1578.6 -8123 times 0.04 -324.92 Product of -0.05907089 and 4. -0.23628356 What is -3 times -10.5441? 31.6323 Product of -152 and -81.9. 12448.8 Calculate 3*-0.37851. -1.13553 Work out -1.35 * 0.097. -0.13095 Calculate 0.09*-1969. -177.21 What is 3 times 12.001? 36.003 -0.47*-80 37.6 Work out -0.3 * -1422808. 426842.4 Work out -78.128 * -0.5. 39.064 101 times 1619 163519 188.85 times -46 -8687.1 Calculate 12.62*172. 2170.64 What is 118 times 4573? 539614 792.06*-2 -1584.12 Calculate 111*0.054. 5.994 What is 448.8 times 20? 8976 -0.04*-1239128 49565.12 -9.7181 * 0.2 -1.94362 What is 5299579 times 0.5? 2649789.5 Work out -23.343 * -0.22. 5.13546 -10*7929.7 -79297 What is the product of -3 and 62.11? -186.33 Multiply 322.1 and -0.01. -3.221 0.5 times 0.3089 0.15445 -224 * -100 22400 Product of 5 and -5773. -28865 What is 4 times 0.88484? 3.53936 Calculate -7693*-22. 169246 -1.2 * 2.291 -2.7492 What is -0.485514 times 12? -5.826168 Product of 139.8 and -37. -5172.6 Multiply 0.311267 and -0.01. -0.00311267 Calculate 1*3868.4. 3868.4 Work out 130 * 251. 32630 90045*1 90045 -0.27968*0.1 -0.027968 Multiply -290627 and -4. 1162508 -89 times -11371 1012019 What is the product of 3 and 23869? 71607 Multiply -0.607 and 1157. -702.299 -0.02 * 2046.5 -40.93 -235 * 29 -6815 -6*-258 1548 Multiply 2.321 and 2. 4.642 -0.2 * -5.555 1.111 What is the product of 0.2 and 0.0232? 0.00464 Multiply 21.24161 and -4. -84.96644 Work out 54.39 * 9. 489.51 Calculate 0*6.558. 0 -11591 times 0.1 -1159.1 503.274 times 0.4 201.3096 What is the product of 560.4 and 7? 3922.8 What is the product of 0.0410107 and -3? -0.1230321 Multiply 0.209806 and 0.9. 0.1888254 0 times -0.319 0 Work out -0.2 * -38.261. 7.6522 162884*0.05 8144.2 -7 times -98 686 What is -11.3 times 256? -2892.8 Calculate -0.021*-7323. 153.783 Work out -0.5 * 0.3023. -0.15115 Calculate -0.17*-9794. 1664.98 634 times -4.83 -3062.22 What is 0.08534 times 4? 0.34136 What is the product of 11.4 and -0.0467? -0.53238 1*-204393 -204393 Calculate -1966*-2. 3932 Product of 0.01 and 611.6. 6.116 -0.1 times -272.08 27.208 70*-2285 -159950 -4225 * -362 1529450 -0.1 times 690.5 -69.05 Work out 198698.8 * -2. -397397.6 Product of 5 and -154.042. -770.21 What is -1070 times 5? -5350 -4 times -174261 697044 What is 4 times 1254.1? 5016.4 -3 times -562653 1687959 27 * -27.45 -741.15 -3.726*-13.4 49.9284 Work out 40.4576 * -0.3. -12.13728 Multiply 0.17177 and 0.2. 0.034354 Work out 0.07 * -126.762. -8.87334 What is 661.6 times 0.2? 132.32 -5157 times -68 350676 Product of -0.02688 and 3.85. -0.103488 Product of -274266 and -0.3. 82279.8 Calculate -5298141*-0.1. 529814.1 Product of -0.5 and 966.25. -483.125 What is 312.4 times -9? -2811.6 Multiply -1769 and -81. 143289 Work out -27.86 * -96. 2674.56 Calculate 0.15*-49933. -7489.95 2.96 * 35.5 105.08 -11737*-5 58685 What is the product of -0.0398 and 0.9? -0.03582 Multiply 11501 and 0.2. 2300.2 23.8 times -496 -11804.8 Work out 452 * 24. 10848 -3149 times -11.3 35583.7 -92 * -11360 1045120 Product of 0.5 and 407379. 203689.5 179.8*-21 -3775.8 5.06*-0.1 -0.506 Work out 72412 * 0.06. 4344.72 What is -4803 times -25.5? 122476.5 25.9 * -509 -13183.1 Calculate 9.9263*0.2. 1.98526 Multiply 152.234 and 0.2. 30.4468 0.2*318765 63753 Calculate 1566*-0.0698. -109.3068 3.6 times -2036.7 -7332.12 What is the product of -113 and -12.17? 1375.21 Calculate 0.81*-26.7. -21.627 Work out 0.8 * 41902. 33521.6 Product of 7.86304 and -0.8. -6.290432 Work out -0.00498 * 7. -0.03486 Multiply 20.96 and 0.56. 11.7376 -314160 * 9 -2827440 0.11 * -189.2 -20.812 -627.84 times 14 -8789.76 Multiply 400338 and 7. 2802366 -357742 times 4 -1430968 Calculate 4214*1. 4214 What is -0.4281 times 0.424? -0.1815144 What is 1.1 times -21622? -23784.2 Work out 17 * -1254.3. -21323.1 Multiply 3 and 32105. 96315 Product of 6.4892 and -0.2. -1.29784 What is the product of -778 and 146? -113588 -112*-4.41 493.92 -0.294 times -1963 577.122 1684376 * -0.5 -842188 Work out -0.1 * -14975. 1497.5 Multiply -0.01 and 4.4097. -0.044097 What is the product of 4 and 726212? 2904848 0.4*258356 103342.4 -5259 times -9 47331 What is the product of -4138 and -0.404? 1671.752 What is the product of 0.35 and -1307? -457.45 Product of 199 and -99. -19701 Calculate 56433*2. 112866 361 times -4723 -1705003 4*-50014 -200056 What is the product of 493 and 51? 25143 -0.4 * 9108 -3643.2 Multiply -1031830 and -4. 4127320 Calculate 540*-381. -205740 What is -0.4 times -26667.1? 10666.84 -0.01017 times 1.2 -0.012204 -0.0699*-0.094 0.0065706 What is -10697 times -7.1? 75948.7 9121 * -5 -45605 What is the product of -0.34 and 12537? -4262.58 Multiply 0.0954 and -11.81. -1.126674 Calculate -5*3815.84. -19079.2 What is the product of -82.1 and 0.092? -7.5532 -0.182 times 231 -42.042 Multiply -100648 and -0.17. 17110.16 What is 3 times 0.794? 2.382 What is the product of -13785.02 and 3? -41355.06 47*-416.74 -19586.78 What is the product of 2.985 and 353? 1053.705 Multiply 0.029076 and -8. -0.232608 4.4 times -261.5 -1150.6 1 times -0.7705 -0.7705 1.3*3.66 4.758 225.29 * 1.9 428.051 Multiply -0.03015 and 0.35. -0.0105525 -16.685 * 0.3 -5.0055 What is 0.0762 times 0.165? 0.012573 Work out -0.1 * 57.873. -5.7873 What is the product of 4 and -0.037615? -0.15046 163957 times -2 -327914 160 times 0.318 50.88 Calculate -35*1870. -65450 Work out 0.021788 * 1. 0.021788 0.5*0.063246 0.031623 -6*65961 -395766 What is 5579 times -0.29? -1617.91 Product of -0.039 and -1523. 59.397 Product of 1.5 and -773. -1159.5 1089.4*92 100224.8 4 * -0.152226 -0.608904 -0.13*2413 -313.69 Calculate -42*-55.4. 2326.8 Work out 0.4 * 0.166793. 0.0667172 Calculate 4*-1.1565. -4.626 Work out 0.09 * -14741. -1326.69 Multiply 608.3 and -5. -3041.5 -0.2 times 31272 -6254.4 What is the product of -88 and -20.2? 1777.6 Work out 1.8 * 0.39. 0.702 Multiply -1 and 79805. -79805 1401 times 589 825189 13 * -0.8 -10.4 Product of -3 and -482211. 1446633 Multiply -5 and 4276. -21380 Multiply 1742 and -303. -527826 -0.10743*-153 16.43679 Product of -11 and 91041. -1001451 What is 165988 times -2? -331976 What is the product of 0.7 and -147.709? -103.3963 Work out -7.4 * -0.323. 2.3902 Product of 61437 and -2. -122874 105407 * -0.21 -22135.47 -165851 * -2 331702 0.2859 times -3 -0.8577 429023 * 0.08 34321.84 Multiply -4383 and -0.14. 613.62 -6556 times 1.1 -7211.6 What is the product of -0.705 and 4.3? -3.0315 1.13877 * 0.5 0.569385 -23 times -39 897 -61237*-31 1898347 Calculate -1*87449.3. -87449.3 -8684 times 0.1 -868.4 -24 * 0.25 -6 Calculate -34106*0.1. -3410.6 Multiply 207 and 3.43. 710.01 Work out -10084 * -0.1. 1008.4 Product of -0.3 and -8629. 2588.7 -0.507 * -0.77 0.39039 Calculate 9*3783. 34047 Multiply 0.1 and 2660.2. 266.02 What is 0 times 99398? 0 Work out 5 * 80782. 403910 161 times 43.7 7035.7 What is the product of -50036 and -2? 100072 What is the product of 3060764 and 0.1? 306076.4 Product of 0 and -88.31. 0 What is the product of -600635 and -5? 3003175 57250 * -2 -114500 286907 * -0.6 -172144.2 -65*-8.61 559.65 What is the product of 11.6 and 6105? 70818 Work out 0.133 * 0.11. 0.01463 What is the product of 0.1 and -490681? -49068.1 Multiply 84701 and 4. 338804 -6295*0.01 -62.95 Multiply 0.23607 and -0.2. -0.047214 Product of 23 and -1292. -29716 Multiply 7465.9 and 0. 0 0.02*57803 1156.06 What is the product of 38314 and -0.16? -6130.24 0.3 times -0.07483 -0.022449 0.03 times -2.3 -0.069 Product of 14 and 26.98. 377.72 What is 79409 times -0.21? -16675.89 -230*-13.91 3199.3 -5*17812 -89060 51197 * 0 0 120.7 times 0.37 44.659 -148*-601 88948 Product of -162 and -127. 20574 Calculate 1.659515*0.5. 0.8297575 Product of 0.2 and -16.32. -3.264 Calculate -26848*-5. 134240 19*6407 121733 0.1031 * -97.2 -10.02132 What is the product of -24.69 and -2675? 66045.75 Product of 6.1 and 582. 3550.2 What is the product of -10 and -651.81? 6518.1 Multiply 38837 and 0.2. 7767.4 2 times -0.006398 -0.012796 Work out 4 * -302961. -1211844 What is 1.2 times 14446? 17335.2 What is 332880 times -5? -1664400 Calculate 166422*
{ "pile_set_name": "DM Mathematics" }
et c be s(-4). Let x = c + -6. What is the remainder when 53 is divided by x? 26 Let t = -177 - -199. Calculate the remainder when 174 is divided by t. 20 Let m = -2 + -2. Calculate the remainder when 21 is divided by -26*2/m + -2. 10 Let h(n) = 2*n**3 - 3*n**2 - 2*n - 4. What is the remainder when 48 is divided by h(3)? 14 Suppose -3*m = -2*m - 16. Calculate the remainder when m is divided by 316/36 - 6/(-27). 7 What is the remainder when 148 is divided by 1*((50 - -2) + -2)? 48 Suppose -9*y + 8*y = -10. What is the remainder when 21 is divided by y? 1 Let t(x) = x**2 - 4*x + 7. Let w be ((-4)/(-6))/(20/(-150)). Let k be t(w). Suppose -k = -2*u - 2*u. What is the remainder when 25 is divided by u? 12 Let m = 152 + -145. What is the remainder when 9 is divided by m? 2 Let z(h) = h**2 - 3*h + 7. Let d(g) = -g**2 + 3*g - 8. Let a(s) = 4*d(s) + 5*z(s). Calculate the remainder when a(5) is divided by 7. 6 Suppose 55 = 5*s - 0*d + 3*d, s - 34 = 4*d. Let l = 2 + 3. Calculate the remainder when s is divided by l. 4 Suppose 0 = j + 2*j + 48. Let q = 11 + -17. Let m = q - j. What is the remainder when 18 is divided by m? 8 Suppose 3*h = h. Let c = 3 + h. Calculate the remainder when 10 is divided by c. 1 Calculate the remainder when -1 - 88/(-5) - 30/50 is divided by 5. 1 Let j(a) = -a**2 - 2*a - 1. Let i be j(2). Let d(t) = 2*t + 12 + 7*t - 8*t. What is the remainder when 6 is divided by d(i)? 0 Suppose 3*k + 1 - 52 = 0. Calculate the remainder when 64 is divided by k. 13 Suppose -222 = -2*r - r. Suppose 4*x + 18 - r = 0. Let i = x + -8. Calculate the remainder when 10 is divided by i. 4 Suppose 3*b + 271 = 2*w, 4*w - b + 5*b - 492 = 0. Suppose 6*g = 2*g + w. Suppose 7 = 2*z - 15. What is the remainder when g is divided by z? 10 Suppose -2*i + 20 - 4 = 0. What is the remainder when i is divided by 4? 0 Let d = 140 + -101. Calculate the remainder when d is divided by 9. 3 Let v = 106 - 64. Calculate the remainder when v is divided by ((-55)/(-10))/((-2)/(-4)). 9 Suppose 5*x - 8 = x. Calculate the remainder when 29 is divided by x*(-2)/(-2) - -14. 13 Suppose -2*j + 3*o = -28, -5*o + 108 = 4*j + 30. Suppose -4*n - 3*f = -215, 0*n - 5*n = -3*f - 235. Calculate the remainder when n is divided by j. 16 Suppose -3*s = -123 + 12. Suppose v = 4*q, 2*q + 0*v = -4*v. Suppose 3*o - s = -g, q = -o + 4*g + 3 - 8. Calculate the remainder when o is divided by 6. 5 Let g(m) = 3*m**2 + 6*m - 1. Calculate the remainder when 26 is divided by g(-3). 2 Let c be 2 + -1 + (4 - 2). Suppose b = -2*y + 27, -c*y = -0*y - 3*b - 36. Let s(a) = 4*a**2 + a - 2. What is the remainder when s(3) is divided by y? 11 Let h = 1 - -22. Suppose 3*p - h = 19. Calculate the remainder when 54 is divided by p. 12 Calculate the remainder when 8 is divided by (-24)/18*3/(-2). 0 Let d = 0 + 0. Suppose -3 = -d*l - l. Calculate the remainder when 8 is divided by l. 2 Let u(s) = s + 17. Let r be u(-10). Suppose r*o = 4*o + 90. Suppose -l + 24 = 2*l. Calculate the remainder when o is divided by l. 6 Suppose -4*v + 6 = -3*v. Suppose -k = -0*k - v. What is the remainder when 21 is divided by k? 3 Let d = 99 - 79. What is the remainder when d is divided by 8? 4 Let j = -5 + 10. Suppose 5*h + 11 = 4*x - 5, j*h + 20 = 5*x. What is the remainder when 11 is divided by x? 3 Suppose 0 = 2*q + 5*h - 33, 2*q - 3*h + 0*h - 41 = 0. Suppose 5*r = -2*m - 59 + 337, -4*r + 223 = m. Calculate the remainder when r is divided by q. 18 Let j(w) = -3*w**2 + 3*w - 2. Let o be j(2). Let u = o + 12. Calculate the remainder when 10 is divided by u. 2 Let t(r) = r + 160. Let p be (2 - (5 - 1)) + 2. Let o be t(p). Suppose -o = 6*j - 11*j. What is the remainder when j is divided by 11? 10 Let t be (-4)/2 + 2/2. Let k be 1/((-3)/(-598 - t)). Suppose 0 = 5*i - k + 49. What is the remainder when i is divided by 16? 14 Let s(y) = -2*y - 2. Let l be s(-2). Suppose -l*k = -7*k + 40. Suppose 14 = 3*x - 1. What is the remainder when k is divided by x? 3 Suppose 4 = 5*l - 6. Suppose 30 = 4*v + h, 5 - 22 = -3*v + l*h. Let d = 7 - -6. What is the remainder when d is divided by v? 6 Let r(i) = i**2 + i**3 - i**2 - 5*i**2 - 4*i + 4. Suppose 0 = -6*b - b + 42. Calculate the remainder when r(6) is divided by b. 4 Let i(j) = 2*j**2 + 6*j + 3. Let u be i(-4). Let o(s) be the first derivative of s**3/3 - 11*s**2/2 + 6*s + 1. What is the remainder when 16 is divided by o(u)? 4 Suppose 0 = 5*k + 2*z - 5*z - 21, k + 2*z = -1. Suppose 5*f - 5*r = 65, 2*f - k*r = -2*f + 49. Calculate the remainder when 19 is divided by f. 9 Let x = -153 - -180. Calculate the remainder when 52 is divided by x. 25 Let t be (3 + 33)/1 + -3. Suppose 5*v - 2*s - t = 0, 8*s = 2*v + 4*s - 26. What is the remainder when 13 is divided by v? 3 Let u be (70/3)/(8/12). Suppose 0*p + 5*p = u. What is the remainder when 25 is divided by p? 4 Suppose -5*r - 5*f + 49 + 41 = 0, 4*f - 57 = -3*r. Let l(k) = 27*k**2 + 1. Let p be l(-1). Let a = 72 - p. Calculate the remainder when a is divided by r. 14 Suppose 4*x - 2*x = -692. Calculate the remainder when x/(-6) - (-2)/6 is divided by 20. 18 Let g = 21 + -10. Let c = -10 + g. Calculate the remainder when 3 is divided by c. 0 Suppose c + 4*q - 40 = -12, 4*q = c - 20. Calculate the remainder when 46 is divided by c. 22 Let i(c) = 19*c - 5*c - 12 - c - c**2. Calculate the remainder when 55 is divided by i(8). 27 Let s = -2 - -4. Let j be (4/(-8))/(s/4). Calculate the remainder when 10 is divided by (3 + 5)*j/(-2). 2 Let i = -104 + 203. Let r = i + -42. Suppose -3*j = -0*j - r. What is the remainder when j is divided by 7? 5 Suppose -3*t = -5*y + t - 14, -4*t - 16 = 0. Let v(k) = k**2 + 3*k - 5. Calculate the remainder when v(y) is divided by 4. 1 Suppose -4*z = 4*i - 12, 0 = -z + 4*i + 7 + 6. Suppose t = 4*t - 9, -522 = -z*a - 4*t. What is the remainder when a is divided by 35? 32 Let w = 35 + 76. Let m = -653 - -672. What is the remainder when w is divided by m? 16 Let n be ((-2)/3)/(1/3). Suppose 17 - 38 = -3*c. Calculate the remainder when c is divided by (-6)/n*(-4)/(-3). 3 Suppose -27 = -4*v + 85. Calculate the remainder when v is divided by 15. 13 Let q(h) = -h**2 + h + 5. Let l be (16/10)/((-4)/(-10)). Suppose 65 = 9*z - l*z. What is the remainder when z is divided by q(0)? 3 Suppose -3*v + 2*v + 4 = 0. Let i = -16 + 23. What is the remainder when (-1)/v + 45/4 is divided by i? 4 Suppose -4 - 22 = -2*g. Let y be 2/g + 306/39. Let s = -5 + y. What is the remainder when 8 is divided by s? 2 Let l(r) = r**2 + r - 4. Let b(j) = -j**3 - 2*j**2 + 2. Calculate the remainder when b(-5) is divided by l(-6). 25 Suppose -l - 3*l = 36. Let h = 19 + l. Calculate the remainder when 39 is divided by h. 9 Suppose -2*x - 1 = 1, 4*r + 4*x = 92. What is the remainder when r is divided by 9? 6 Let s = -4 - -10. Calculate the remainder when 9 is divided by s. 3 Suppose 20*j = 18*j + 12. Calculate the remainder when 47 is divided by j. 5 Suppose -3*a - 72 = -3*o, 3*o + 3*a = 8*a + 64. What is the remainder when 82 is divided by o? 26 Calculate the remainder when 33 is divided by (-3 - -2 - 16)*-1. 16 Let f = 2 - -41. What is the remainder when f is divided by 22? 21 Let q(a) = 2*a**3 + 4*a**2 - 9. Let l(j) = j**3 - j + 1. Let v(k) = 3*l(k) - q(k). Suppose 3*p + 43 - 238 = 0. What is the remainder when p is divided by v(5)? 21 Suppose 4 = -v + 11. Let l = v - -22. Suppose 58 - 155 = -5*z + 3*w, 0 = -z + 3*w + l. What is the remainder when z is divided by 9? 8 Let y(i) = i + 18. Let x be y(-13). Suppose -5*f + 52 = 2*h, -x*f + 0*h + 49 = -h. What is the remainder when 29 is divided by f? 9 Suppose 0 = 3*f - 7*f + 68. Let a(n) = -n**3 - 12*n**2 + n + 14. Let q be a(-12). Suppose -q*b + f = -b. Calculate the remainder when b is divided by 6. 5 Let t = -11 + 35. Let b(p) = 6*p**2 - 5*p + 2. Calculate the remainder when b(-3) is divided by t. 23 Suppose 12*r - 6*r - 78 = 0. What is the remainder when (1 + 11)/(3/9) is divided by r? 10 Suppose -5*p - 3*s = -8*s - 120, -3*p = 4*s - 93. Let k(y) = -y**2 + 10*y - 15. Let l be k(10). Let g = -1 - l. Calculate the remainder when p is divided by g. 13 What is the remainder when 10/14 + (-22)/(-77) is divided by 1? 0 Suppose -4 = 7*o + 3. Let g(t) = t - 1. Let l be g(-3). Calculate the remainder when 23 is divided
{ "pile_set_name": "DM Mathematics" }
1 is divided by 62? 23 What is the remainder when 594 is divided by 23? 19 What is the remainder when 728 is divided by 68? 48 What is the remainder when 34 is divided by 7? 6 What is the remainder when 91 is divided by 23? 22 What is the remainder when 1915 is divided by 160? 155 Calculate the remainder when 687 is divided by 138. 135 What is the remainder when 268 is divided by 10? 8 What is the remainder when 149 is divided by 65? 19 What is the remainder when 95 is divided by 20? 15 Calculate the remainder when 524 is divided by 105. 104 Calculate the remainder when 492 is divided by 8. 4 What is the remainder when 2571 is divided by 22? 19 What is the remainder when 236 is divided by 83? 70 What is the remainder when 659 is divided by 15? 14 Calculate the remainder when 169 is divided by 72. 25 What is the remainder when 1019 is divided by 14? 11 Calculate the remainder when 759 is divided by 6. 3 What is the remainder when 1246 is divided by 24? 22 What is the remainder when 318 is divided by 3? 0 What is the remainder when 79 is divided by 8? 7 Calculate the remainder when 59 is divided by 43. 16 What is the remainder when 973 is divided by 32? 13 What is the remainder when 765 is divided by 48? 45 Calculate the remainder when 232 is divided by 30. 22 What is the remainder when 1903 is divided by 471? 19 Calculate the remainder when 1061 is divided by 14. 11 Calculate the remainder when 2899 is divided by 964. 7 Calculate the remainder when 13519 is divided by 13. 12 Calculate the remainder when 864 is divided by 146. 134 Calculate the remainder when 501 is divided by 8. 5 What is the remainder when 6249 is divided by 125? 124 What is the remainder when 2048 is divided by 114? 110 Calculate the remainder when 159 is divided by 116. 43 What is the remainder when 303 is divided by 11? 6 Calculate the remainder when 98 is divided by 74. 24 Calculate the remainder when 519 is divided by 87. 84 What is the remainder when 119 is divided by 63? 56 Calculate the remainder when 328 is divided by 193. 135 What is the remainder when 163 is divided by 11? 9 Calculate the remainder when 555 is divided by 6. 3 What is the remainder when 496 is divided by 63? 55 What is the remainder when 58 is divided by 2? 0 Calculate the remainder when 2626 is divided by 12. 10 Calculate the remainder when 317 is divided by 7. 2 Calculate the remainder when 1006 is divided by 48. 46 What is the remainder when 228 is divided by 18? 12 Calculate the remainder when 65 is divided by 54. 11 Calculate the remainder when 267 is divided by 211. 56 Calculate the remainder when 628 is divided by 17. 16 What is the remainder when 42 is divided by 31? 11 What is the remainder when 330 is divided by 1? 0 Calculate the remainder when 739 is divided by 182. 11 What is the remainder when 589 is divided by 7? 1 What is the remainder when 3373 is divided by 25? 23 Calculate the remainder when 1052 is divided by 13. 12 What is the remainder when 251 is divided by 84? 83 Calculate the remainder when 270 is divided by 64. 14 Calculate the remainder when 1138 is divided by 85. 33 What is the remainder when 110 is divided by 24? 14 What is the remainder when 305 is divided by 296? 9 Calculate the remainder when 1562 is divided by 18. 14 What is the remainder when 313 is divided by 292? 21 Calculate the remainder when 233 is divided by 79. 75 What is the remainder when 643 is divided by 23? 22 Calculate the remainder when 1428 is divided by 1428. 0 Calculate the remainder when 2133 is divided by 2. 1 What is the remainder when 32740 is divided by 321? 319 What is the remainder when 242 is divided by 3? 2 Calculate the remainder when 193 is divided by 62. 7 Calculate the remainder when 191 is divided by 50. 41 Calculate the remainder when 426 is divided by 101. 22 What is the remainder when 278 is divided by 47? 43 What is the remainder when 2109 is divided by 151? 146 Calculate the remainder when 442 is divided by 7. 1 What is the remainder when 225 is divided by 57? 54 Calculate the remainder when 28844 is divided by 12. 8 Calculate the remainder when 430 is divided by 66. 34 What is the remainder when 18 is divided by 15? 3 What is the remainder when 70 is divided by 45? 25 Calculate the remainder when 127 is divided by 36. 19 Calculate the remainder when 11 is divided by 4. 3 Calculate the remainder when 49 is divided by 10. 9 What is the remainder when 193 is divided by 39? 37 What is the remainder when 1339 is divided by 51? 13 What is the remainder when 111 is divided by 34? 9 Calculate the remainder when 183 is divided by 47. 42 Calculate the remainder when 881 is divided by 289. 14 Calculate the remainder when 21597 is divided by 15. 12 What is the remainder when 40 is divided by 2? 0 Calculate the remainder when 277 is divided by 4. 1 What is the remainder when 1979 is divided by 10? 9 Calculate the remainder when 818 is divided by 20. 18 Calculate the remainder when 355 is divided by 171. 13 What is the remainder when 7 is divided by 3? 1 What is the remainder when 474 is divided by 154? 12 Calculate the remainder when 685 is divided by 341. 3 Calculate the remainder when 890 is divided by 23. 16 Calculate the remainder when 238 is divided by 61. 55 Calculate the remainder when 215 is divided by 12. 11 What is the remainder when 208 is divided by 98? 12 What is the remainder when 20081 is divided by 6? 5 Calculate the remainder when 46 is divided by 11. 2 Calculate the remainder when 1570 is divided by 195. 10 Calculate the remainder when 181 is divided by 46. 43 Calculate the remainder when 239 is divided by 89. 61 Calculate the remainder when 123 is divided by 18. 15 Calculate the remainder when 205 is divided by 23. 21 Calculate the remainder when 573 is divided by 24. 21 What is the remainder when 703 is divided by 171? 19 Calculate the remainder when 1547 is divided by 4. 3 Calculate the remainder when 84 is divided by 20. 4 What is the remainder when 120 is divided by 20? 0 What is the remainder when 478 is divided by 125? 103 Calculate the remainder when 745 is divided by 203. 136 What is the remainder when 1991 is divided by 19? 15 Calculate the remainder when 161 is divided by 95. 66 Calculate the remainder when 343 is divided by 23. 21 What is the remainder when 153 is divided by 83? 70 What is the remainder when 1531 is divided by 64? 59 Calculate the remainder when 139 is divided by 70. 69 Calculate the remainder when 53 is divided by 18. 17 What is the remainder when 345 is divided by 172? 1 Calculate the remainder when 17322 is divided by 315. 312 What is the remainder when 3900 is divided by 1296? 12 Calculate the remainder when 53 is divided by 19. 15 What is the remainder when 139 is divided by 7? 6 Calculate the remainder when 190 is divided by 94. 2 Calculate the remainder when 987 is divided by 15. 12 Calculate the remainder when 209 is divided by 24. 17 What is the remainder when 2148 is divided by 127? 116 What is the remainder when 10126 is divided by 247? 246 What is the remainder when 352 is divided by 98? 58 What is the remainder when 124 is divided by 97? 27 Calculate the remainder when 743 is divided by 124. 123 What is the remainder when 159 is divided by 80? 79 What is the remainder when 176 is divided by 36? 32 What is the remainder when 44 is divided by 30? 14 Calculate the remainder when 174 is divided by 83. 8 What is the remainder when 54 is divided by 11? 10 Calculate the remainder when 4831 is divided by 58. 17 Calculate the remainder when 281 is divided by 76. 53 What is the remainder when 94 is divided by 24? 22 What is the remainder when 3022 is divided by 121? 118 Calculate the remainder when 7849 is divided by 157. 156 Calculate the remainder when 218 is divided by 20. 18 Calculate the remainder when 2620 is divided by 23. 21 What is the remainder when 11983 is divided by 112? 111 Calculate the remainder when 1243 is divided by 43. 39 What is the remainder when 1596 is divided by 41? 38 Calculate the remainder when 303 is divided by 51. 48 Calculate the remainder when 5082 is divided by 1692. 6 Calculate the remainder when 18704 is divided by 29. 28 Calculate the remainder when 24286 is divided by 88. 86 What is the remainder when 1
{ "pile_set_name": "DM Mathematics" }
*y. Suppose 4 + 12 = 2*i. Solve y*q - i = -q for q. 2 Let q(f) = -f**3 - f + 5. Let n be q(0). Solve -32 = -n*x - 12 for x. 4 Let b = 61 - 49. Solve 6*l - 2*l = -b for l. -3 Let z = 47 + -42. Solve z = -m + 2 for m. -3 Let s = -8 + 20. Suppose 0*h + s = -2*g + 3*h, -5*h + 20 = -g. Solve g*r + 1 = r for r. 1 Let o(s) = s - 14. Let h be o(16). Solve 0 = h*r - 0*r for r. 0 Let a(y) = y**2 + 6*y - 2. Let k be a(-6). Let z = -2 - k. Solve 2*o + 0*o = z for o. 0 Let w be (-16)/(-9) + 12/54. Let m be ((-12)/18)/(w/(-6)). Solve -m*i - 3 = i for i. -1 Suppose -2*f - 2*y - 11 = f, -4*f - 24 = 5*y. Let m be 0/((f + 2)*-2). Solve u + m = 5 for u. 5 Let c be 0/(-3 - (1 + -1)). Solve -4*r - 2 + 14 = c for r. 3 Let w(o) = o**3 - 2*o**2. Let v be w(2). Suppose v*x = -4*x. Solve x = 4*n + 9 + 7 for n. -4 Suppose 0 = 4*p - 3*p. Let d(v) = -v**3 - v**2 + v + 2. Let l be d(p). Solve f - 6 = -l*f for f. 2 Suppose -4*y + 1 = -15. Solve 12 = 4*x - y for x. 4 Let i = -12 + 13. Solve 4*w + 3 = -i for w. -1 Let p be -6*((-3)/6 + 0). Solve -a + p*a = 0 for a. 0 Let h(t) = t + 8. Let m be h(-4). Suppose o = -m*o. Solve o = -3*y - y + 16 for y. 4 Let r(a) = -a + 22. Let i be r(14). Solve -4*b = -i*b + 4 for b. 1 Let v(j) be the first derivative of -j**4/12 - 4*j**3/3 - 9*j**2/2 - j + 2. Let o(d) be the first derivative of v(d). Let n be o(-6). Solve -4 - 2 = -n*m for m. 2 Let g be 0 + 0 + -1 + 3. Solve -g*y - y = -12 for y. 4 Let i(p) = p**3 + 3*p**2 - 4*p + 4. Let d be i(-4). Let c = -5 - -3. Let a = c + d. Solve a*r = -r for r. 0 Let f(w) = -w + 8. Let d be 10/4*2/1. Let m = d - -1. Let a be f(m). Solve o - 15 = -a*o for o. 5 Let l(f) = -5*f + 32. Let q be l(6). Solve 2 = 2*k - q for k. 2 Let s be (-32)/(-14) + (-4)/14. Solve 0*m - s = m for m. -2 Let s = 16 + -10. Let m = s - 4. Solve -r = r - m for r. 1 Suppose -2*a + 2*g = -6, -3*a + 3 = 3*g - 0. Solve 0 = a*l - 1 - 5 for l. 3 Let w(u) = u. Let t be w(6). Suppose -p - 10 = -t*p. Solve -p*z + 2 = -4*z for z. -1 Let i = 3 + 0. Suppose 5 = 5*l - 25. Let f(g) = g - 2. Let h be f(5). Solve h*o = l*o + i for o. -1 Let f = -73 - -75. Solve f*w - 1 + 9 = 0 for w. -4 Let i(h) = -2*h**3 - 3 + 6*h**2 + h + 3*h**3 + 3*h + h. Let t be i(-5). Let o be t + (0/(-2) - -3). Solve o = 4*l + 8 + 8 for l. -4 Let h = -29 - -62. Suppose -4*b = -b + h. Let m = b - -17. Solve -z + m*z = 0 for z. 0 Let h(z) = -z**3 - 10*z**2 - z. Let f be h(-10). Suppose p + f = -0*p. Let r be (-12)/p*(-40)/(-12). Solve -3*x + r*x = -3 for x. -3 Let y = -6 + 10. Suppose d = y*d - 9. Solve 4*h = d*h + 1 for h. 1 Let r = -6 - -8. Let d(t) = t**3 + 6*t**2 + 7. Let o be d(-6). Suppose 0 + 2 = 2*l. Solve -l - o = -r*k for k. 4 Suppose -104 = -t - 3*t. Let v = t + -14. Solve 2*n = -n + v for n. 4 Let w(h) = 3*h**2 - 21*h + 9. Let f be w(7). Solve 3*x = f + 3 for x. 4 Let s(a) be the third derivative of a**4/24 + a**3 + 2*a**2. Let j be s(-5). Let z(k) = k + 2. Let n be z(2). Solve -19 - j = n*m for m. -5 Let j be -3 - (4 - 38/2). Solve 3*f - j = -0*f for f. 4 Let t(g) = g**2 - 7*g + 4. Let o be t(8). Solve 2*c = -c + o for c. 4 Let g(u) = u**3 + 5*u**2 + u - 8. Let h be g(-4). Solve -1 = h*p - 13 for p. 3 Suppose 2*q = -6 + 12. Solve 1 = 2*h + q for h. -1 Let i = 33 - 21. Suppose i*y = 14*y - 6. Solve 0*d = -y*d + 3 for d. 1 Let w = -6 + 11. Suppose -5*p - 17 + 117 = 0. Suppose p = 5*g - w*o, -2*g - o - o = 8. Solve 2*q + g*q = -4 for q. -2 Let k = -39 - -39. Solve -5*x = -k*x - 20 for x. 4 Let s be -1 + 0 + (7 - 1). Suppose -2*n + 7 = -3*k - 4, -4 = 5*n + 3*k. Solve -i + n = s for i. -4 Let h = 5 + -1. Let f(g) = 2*g - 4. Let s be f(h). Solve 12 = -s*a - 8 for a. -5 Let l be (-6)/7*(-1 - -8). Let c = l + 28. Solve c - 2 = 5*f for f. 4 Let o be 0 + (2 - 1) + 1. Suppose y + o - 4 = 0. Solve m + 1 = y*m for m. 1 Let c(t) = t**2 + 4*t + 6. Let b be c(-4). Suppose 2*u + p - 11 = -u, -5*u - p = -21. Suppose 2*k - 26 = 12. Solve -u*n + k = -b for n. 5 Let l be -1 + (-4)/(3 + -5). Solve -2*t + l = -1 for t. 1 Let x(i) = 10*i - 45. Let v be x(5). Let s(u) = -u + 10. Let q be s(6). Solve -k - q*k = v for k. -1 Let o = -43 - -43. Solve o = -n - 2 + 1 for n. -1 Suppose -i = 4*i. Solve -12 + i = -4*h for h. 3 Let n = -35 + 35. Solve -4 = -n*g + g for g. -4 Suppose -4*j - 20 = -4*s, 0*j + 5 = -4*j - s. Let r be (-2 - j)*(-1 - 0). Solve v + 0*v = r for v. 0 Let l(i) = i**3 + 4*i**2 + 3*i + 2. Let r be -3 + (1 - 4) + 3. Let j be l(r). Solve -h - j = 2 for h. -4 Let q(b) = -2*b + 1. Let y be q(-1). Suppose a + y*a = 8. Solve 0*f + a*f = 8 for f. 4 Let o(u) = u**2 + 5*u - 16. Let t be o(-8). Solve -x = 3*x - t for x. 2 Suppose 4*s + 2*m = -198, -3*s - 2*m - 147 = m. Let q = -35 - s. Solve 7*v - 2*v = -q for v. -3 Let f(h) = h**2 + 2*h - 5. Let p be f(-4). Suppose -2*w = -i + 3, -5*i - 2*w + 15 = -p*w. Solve 0 = 3*q + i - 18 for q. 5 Let b(s) = s**2 + 4*s. Let o be b(-4). Solve o = -2*k + 5*k + 6 for k. -2 Let z be -10*(15/(-6) + 2). Let r(s) = -z*s + 4*s - 5 + 1. Let m be r(-4). Solve m = 3*v + 6 + 6 for v. -4 Suppose f - 4 = -3*f, -3*p - 2 = -2*f. Solve p = -0*u - u - 5 for u. -5 Suppose 0 - 3 = 3*m. Let z be (-3)/(-1*m/(-1)). Solve -z*q = -0*q for q. 0 Let x be 0/((-7)/(7/(-2))). Suppose q + 0*q = x. Solve 10 = -5*i - q for i. -2 Let r be 26/3 - 5/(-15). Solve -25 + r = -4*f for f. 4 Let b(r) = 6*r. Let a be b(1). Suppose 0*u = -4*u + 16. Solve -u*o + a = -o for o. 2 Let y be 2/6 + 78/9 + -3. Solve y*f = f for f. 0 Let z(a) = a**3 - a**2 - a. Let d be z(2). Suppose 7 = 2*g + 3. Suppose 5*i - 20 = g*q, -q = i + 2*q + 13. Solve 0 = -i*v - d*v for v. 0 Let h(x) = -x**3 - 7*x**2 + 2*x + 17. Let d be h(-7). Solve 5 = -d*u - 10 for u. -5 Let l = -62 - -68. Solve -4 = -2*s + l for s. 5 Suppose -3*o + 7*o - 26 = 2*y, 4*o - 11 = -3*y. Let d = o + -5. Solve s + s + 8 = d for s. -4 Let q be 8/10*10/4. Suppose 5*h + 0*c = 2*c + 104, 46 = q*h - 3*c. Solve k + h = 5*k for k. 5 Let j(z) = -3*z - 6. Let n be j(-3). Suppose -3*k - x = -56, -5 = -3*k - n*x + 49. Solve 5*o + k = -6 for o. -5 Let z be 3*3/(-9) - (-5 + 0). Solve 7*j - z*j = 3 for j. 1 Suppose -4*z + 0 = -4. Let p(u) = u**3 - 2*u**2 + 0*u**2 + 7*u**2 - u + 0*u**2. Let g be p(-5). Solve z - g = -4*j for j. 1 Suppose 2*z + 3*z = 2*g - 33, g + z + 1 = 0. Let i = 7 - g. Suppose 0*s + 20 = 5*s. Solve s*f + 1 = -i for f. -1 Let o = -12 - -12. Solve -2*k + 1 + 1 = o for k. 1 Let t = 1 + 0. Let l = 14 - 11. Solve 4*o + t = l*o for o. -1 Let j be (-6)/(-12) - 6/(-4). Let h = 4 - 2. Suppose -h*i = j*i - 20. Solve -4*k - 4 = -i*k for k. 4 Let o be -3 - -6 - (12/3 + -2). Solve o = -0*z - z for z. -1 Let r = -3 + 8. Suppose 3*a = 7 + r. Solve -4 = a*l - 0 for l. -1 Let q(k) = k**3 + 9*k**2 + 8*k + 2. Suppose 0 = 2*a + 3*d - d + 24, -3*a + 3*d - 12 = 0. Let v be q(a). Let o(x) = -2*x. Let f be o(-2). Solve f*s = v*s for s. 0 Let s be 23/3 + (-4)/6. Let y = 7 + -4. Solve y*w = s*w for w. 0 Let w = 15 - 9. Solve -1 = 5*l - w for l. 1 Suppose 0 = 2*j - 5 - 5. Solve j = 2*y - 3 for y. 4 Let i(k) = 7*k + 32. Let q be i(-3). Solve -7 = 2*c - q for c. 2 Let x(u) be the second derivative of u**4/6 - 3*u**3/2 + u**2 + u. Let j be x(6). Solve 4*r = -r - j for r. -4 Suppose -13 + 35 = 2*k - 2*d, 4*k = -4*d + 12. Solve -5 = -4*b + k for b. 3 Let f(t) = -t. Let m be f(-2). Solve -z - m*z = 0 for z. 0 Let u be 3/(6/34) - -3. Solve -4*i = i - u for i. 4 Let y(k) = k**3 + 13*k**2 + 35*k + 9. Let s be y(-4). Let c(h) = -h**2 + 6*h + 1. Let z be c(6). Solve -3*t + s = z for t. 4 Suppose u + 2*u - 36 = 0. Solve -2*x = 2*x - u for x. 3 Let h(a) be the second derivative of a**5/20 - a**4/12 + a**3/6 + 6*a**2 - a. Let o be h(0). Solve -o = 4*p + 4 for p. -4 Let v be (-69)/(-9) + 2/(-3). Suppose -v*q + 4*q + 45 = 0. Solve w = -4*w - q for w. -3 Let y(g) = -g**2 + 5*g. Let u be y(4). Suppose -q - 4*z + 0*z = 0, -2*z = -2*q. Solve q = -l + u for l. 4 Let q(x) be the first derivative of 2*x**3 + x**2/2 + x + 1. Suppose 3*t = 5*r + 2, -4*r = -t - 4*t - 1. Let a be q(r). Solve -2*s + a - 2 = 0 for s. 2 Let d = 19 - 19. Solve 8 + d = -4*t for t. -2 Let s(r) = -r**3 - 2*r**2 + 4*r + 4. Let t = 7 - 4. Suppose -2*f + 3*m = -t, 2*f - m = m. Let k be s(f). Solve 4 = -b + k for b. -3 Let p = -4 + 7. Suppose 0 = -3*d - a + 21, -21 = -p*d + a + 3*a. Solve d*l - 3*l = -4 for l. -1
{ "pile_set_name": "DM Mathematics" }
*f + 854*f). 29094*f Expand (191 - 3*o**2 + 40022*o - 40021*o - o**2)*(2 - 7 + 3 + (2 + 3 - 3)*(-1 - 4 + 4) - 6 + 2 + 3 - 2 + 1 + 2). 16*o**2 - 4*o - 764 Expand 8*c**2 - 40*c**2 - 101*c**2 + (1 - 1 - 2*c)*(4*c - 2*c + 0*c) + (-4 - c + 4)*(-3*c + c + 3*c). -138*c**2 Expand -539*w**2 - 248*w**2 - 288*w**2 + (-1 - 2 + 2)*(w**2 - w**2 + 2*w**2). -1077*w**2 Expand 2*r**4 + 0*r**4 - 8*r**4 + (-8*r + 2*r + 3*r)*(369*r**2 + 123*r**3 - 369*r**2). -375*r**4 Expand 6*n**2 - n**2 - n**2 + (11 + 18 - 13)*(0*n - 2*n**2 + 0*n) + (6 - 6 - 24)*(0*n + n + n)*(2*n - 1 + 1). -124*n**2 Expand (-1507*k - 1501*k + 3764*k)*(1 + 3 - 2)*(0 + 5 - 4). 1512*k Expand (5 - 2 - 1)*(-2*a - 2*a + 3*a) + (2 + 15 + 0)*(a - a - a) - 6 + 6 + a + (2 - 2 + 2)*(2*a - 4 + 4) + 1 - a - 1 - 4 + 4 + 2*a + a - 3 + 3. -12*a Expand (1 + 2 + 0)*(55*y**2 - 70*y**2 - 282*y**2 + (-2*y + 2 - 2)*(-y - y - y)). -873*y**2 Expand (-509*h**2 + 144*h**2 - 1206*h**2)*(-5*h + 5*h + h). -1571*h**3 Expand 6*h - 2*h + 2*h - 2 - h + 2 + (2*h - 4*h + 3*h)*(-2 - 3 + 4) + (-2 + 2 + 2*h)*(-2 + 5 - 2) + 2*h - 2*h - 3*h + 2*h - 4*h - h - 3*h + 2*h + 2*h. h Expand 0*y**3 + y**3 - 2*y**3 + (0*y + 3*y - 2*y)*(4*y**2 + 0*y**2 - 2*y**2) + 2*y**3 - 2*y**3 + 2*y**3 - 1735*y**3 + 528*y - 526*y - 3609*y**3. -5341*y**3 + 2*y Expand 178*c**2 - 7 + 5 - 122*c**2 + (c + 2 - 2)*(-2*c + 4 - 4) - 11*c**2 - 11*c**2 + 15*c**2. 47*c**2 - 2 Expand 19*b**5 + 13*b**5 + 4*b**5 - b**5 - 4*b**5 + 3*b**5 + (1 - 1 + b**4)*(2 - 2 + 2*b) + 2*b**5 + 2*b**5 - 2*b**5 + 9*b**4 + 2*b**5 + 0*b**5 - 24*b**4. 40*b**5 - 15*b**4 Expand 2 + 8661*f - 19*f**3 - 4327*f - 4336*f + (-2 - 3 + 2)*(5 + 7*f**3 - 5). -40*f**3 - 2*f + 2 Expand (-4*k + k + 2*k)*(-32 - 4 + 589) + (1 - 11*k - 1)*(3 - 6 + 2). -542*k Expand (13*f**2 - 12*f**2 + 25*f**2)*(1 + f**3 - 1) + 32*f**5 - 15*f**3 + 15*f**3. 58*f**5 Expand (-4*i + 1 + 4 - 7)*(-4361 + 4361 - 1389*i + (1 + 2 - 1)*(2*i + 0*i - i)). 5548*i**2 + 2774*i Expand (227*n**3 - 44*n**5 - 454*n**3 + 221*n**3)*(-3 + 0 + 2 + (-4 + 3 + 0)*(2 + 3 - 1) + 1 + 1 - 4). 308*n**5 + 42*n**3 Expand (25*b**2 + 10*b**2 + 18*b**2)*(12 - 50*b + 2*b**2 + 26*b + 26*b). 106*b**4 + 106*b**3 + 636*b**2 Expand (0*w + 5*w - w)*(-2 + 4 - 3)*(303 - 34 + 87). -1424*w Expand (-f - 3*f + 3*f)*(0*f**2 + 0*f**2 - 3*f**3) + (137*f**4 + 61*f - 61*f)*(-4 + 2 + 3). 140*f**4 Expand (1 - 1 + 2*t**2 + (3*t - 3*t - t)*(-2 + 2 - 2*t) + t**2 + 5*t**2 - 3*t**2)*(-2*t - 140 - 358 - 136). -14*t**3 - 4438*t**2 Expand -n**3 + 0 + 0 + 1 - 1 - n**3 + (4*n + 2*n - 4*n)*(n**2 + n**2 + 0*n**2) + (1658*n**2 + 1312826*n - 1312826*n)*(n + n + 0*n). 3318*n**3 Expand (v + 4*v + 0*v)*(3 - 3 - 3*v) + (-4*v + 1100 - 1105 + v)*(-2*v - 4*v + 3*v). -6*v**2 + 15*v Expand 17*m**3 - 14*m**3 - 12*m**3 - 22798*m**2 + 22798*m**2 + 86*m**3 - 2*m + 3*m**3 + 0*m**3 - m**3 + (0*m**2 + 0*m**2 + m**2)*(3 - m - 3). 78*m**3 - 2*m Expand 7*d**4 - 25*d**4 - 21*d**4 + (4*d + 24*d - 2*d)*(5*d**2 - 2*d**2 - 5*d**2 + 3*d**3). 39*d**4 - 52*d**3 Expand p**5 + 2*p**3 + 6 - 2*p**3 + (3*p - 3*p + p)*(-9*p**3 + 9*p**3 - 4*p**4) + (-3*p**2 - 2 + 2 + (4*p + 0*p - 3*p)*(-4*p + 2*p + 3*p))*(p**2 - p**3 - p**2). -p**5 + 6 Expand -4*l**4 + l**4 + 6*l**4 - 5*l**4 - l**4 + 23*l**4 + (-4*l**3 - l**3 + 4*l**3)*(-4*l + 2*l + 4*l) + l**4 + 0 + 0 + 3*l**4 + 0*l**4 + 3*l**4. 25*l**4 Expand (-3 - 1 + 3)*(1 + w - 1) + 1 - w - 1 + 0*w + 2*w - 4*w + 3*w - 4*w - 4*w + 131*w + 20*w - 17*w. 125*w Expand 5*z**2 - z**3 - 5*z**2 + (z**3 + 4186*z**2 - 3263*z**2 + 0*z**3)*(1 - 1 + 2). z**3 + 1846*z**2 Expand (-265*m + 2*m**4 - 20*m**4 + 266*m)*(-1 - 1 + 3)*(-5 + 0 + 0)*(-39*m + 91*m - 41*m). 990*m**5 - 55*m**2 Expand (-2 + 4 + 0)*(0*r**4 + 4*r**4 - 5*r**4)*(-2 + 4 - 3)*(3764 - 8757 + 3962 - 1 - 1 + 0 + (3 + 0 - 2)*(2 + 2 - 2)). -2062*r**4 Expand (-4*p - 5*p**2 + 4*p)*((0*p + 0*p - p)*(30 - 12 + 21) + 3 - 3 - 2*p). 205*p**3 Expand (-5 + 2 + 4)*(-2041*o - 2089*o + 4896*o + 1). 766*o + 1 Expand (-3*k + 6*k - 8*k)*((-3 + 4 - 3)*(4 - 4 + 1) - 2 - 2 + 5 - 2 + 4 + 0 - 3 - 1 + 6)*(15 - 41 - 51)*(-5 + 2 + 2). -1155*k Expand 2*y**3 - 271*y + 137*y + 112*y + (5 - 5 + 2*y**2)*(-2*y + 0 + 0) - 9*y**3 + 3 - 3. -11*y**3 - 22*y Expand -6*g**3 - 4*g**3 - 19*g**3 + (0*g**2 - g**2 + 2*g**2)*(0*g - 2*g + 4*g) + 2*g**3 + 0*g**3 + 0*g**3 + 4*g + g**3 - 4*g. -24*g**3 Expand (19*d**2 - 61*d**2 - 43*d**2)*(-19 - 3*d**2 + 19). 255*d**4 Expand (1592 + 234*i**4 - 1592)*(-4*i + 7*i + 4*i + (4*i - 2 + 2)*(-1 - 5 + 4)). -234*i**5 Expand (0 + 1 + 0)*((-2*t + 2 - 2)*(-3 + 4 - 3) - 39 + 39 - 6*t)*(2 - 3 - 2)*(-2*t + 2*t - 2*t**4). -12*t**5 Expand -5*l + l + 5*l + (4*l - 3*l - 2*l)*(4 - 5 - 1) + 3*l - 4*l + 2*l + 3*l + 5*l - l. 11*l Expand (10404*j**2 + 36*j**3 - 10404*j**2)*(2 - 2 - 1) + 0*j + 0*j**3 - 2*j**3 - 17*j. -38*j**3 - 17*j Expand 10*n**2 - 10*n**2 - 9*n**3 - 6*n + 3*n**3 + 6*n + (-6*n - 6*n + 6*n)*(8*n**2 - 103*n + 103*n) + (-3*n + 3*n + n**2)*(0 + 0 + n) - 3*n**2 + 3*n**2 + n**3. -52*n**3 Expand (-d - d - d - 1)*(5*d - 2*d - 2*d)*(-15*d + 12*d + 1 - 10*d). 39*d**3 + 10*d**2 - d Expand (0*l + 2*l - l)*(l - 1420*l**3 + 5*l**4 + 1420*l**3). 5*l**5 + l**2 Expand -2*a**2 + a - a - 3*a**2 + 0*a**2 + 2*a**2 + (3*a**2 - 2*a**2 - 3*a**2)*(-2 - 3 + 4) + 0*a**2 + a**2 + a**2 - 34 + 45*a**2 + 133 - 100 + 37*a. 46*a**2 + 37*a - 1 Expand (312 - 312 - 20*r)*(-10*r**4 - 6*r**4 + 3*r**4 + (3*r**2 - 2*r**2 - 3*r**2)*(-r**2 - 2*r**2 + 2*r**2)). 220*r**5 Expand (-j + 2*j - 5*j)*(3 - 2*j**4 - 3 + (-j + 2*j + 2*j)*(-1 - 2*j**3 + 1) - 5*j**2 - j**4 + 5*j**2). 36*j**5 Expand (-3246 + 237 - 520)*(2*h + 2 - 6 - 3*h). 3529*h + 14116 Expand n**5 - n**5 - n**5 + (-3*n**4 + 3*n**4 - n**4)*(n - 4*n + n) - 6*n**5 - n**5 + 3*n**5 - 12*n**5 - 18*n**5 + 8*n**5. -25*n**5 Expand 0*l**2 - 5*l**2 + 3*l**2 + (l - l + l**2)*(-1 + 2 + 0) + 7374*l**2 - 959*l**2 + 956*l**2. 7370*l**2 Expand (-19*l + 15*l - 11*l)*(0 - 3 + 1) - 5*l + l - 6*l + (-1 - 1 - 2)*(-2*l + 0*l + 4*l). 12*l Expand (-2 - 1 + 2)*(-19 - 125 - 10)*(-5*t + 0*t + t)*(-2 + 3 - 3). 1232*t Expand (-2416*a**3 + 90*a**4 + 2416*a**3)*(3 - 4 - 14)*(-3 + 5 + 1) + a**4 + 0*a**4 + 0*a**4. -4049*a**4 Expand (-11*k**2 - 51*k**2 - 6*k**2)*(-34*k + 11*k - 38*k). 4148*k**3 Expand -19*x + 2*x + 0*x + (x - 10*x - 16*x)*(-2 + 1 - 1) + 2*x + 0 + 0. 35*x Expand (-3 + 49*x + 96 - 30)*(-5 + 2*x**2 + 5). 98*x**3 + 126*x**2 Expand (2 - 3 + 4)*(5*m**4 - 3*m**4 + 8*m**4) + (-5*m + 4*m + 6*m)*(-1 + 2 + 2)*(3*m**3 + 4*m**3 - m**3). 120*m**4 Expand (-208*l - 17713 + 17713)*(-19*l + 13*l - 33*l). 8112*l**2 Expand (2*i - 4*i + i)*(i - 14*i - 26*i) + 76*i**2 - 48*i + 8*i + 37*i. 115*i**2 - 3*i Expand g - g - g**4 + (-2*g - g + 4*g)*(4*g**3 - g**3 - g**3) + (3*g**4 + 3*g**4 - 4*g**4)*(434 + 589 - 337). 1373*g**4 Expand (-29*n**2 + 136 - 136)*(-4*n**2 - 9 + 5*n + 0*n**2 - 3*n). 116*n**4 - 58*n**3 + 261*n**2 Expand (-60 + 60 - 15*x)*(31472*x**3 - 15739*x**3 + 48*x**4 - 15733*x**3 + 2). -720*x**5 - 30*x Expand (1219 + 624 + 204)*(0*m - m + 2*m)*(5*m - 5*m + 2*m)*(3*m**2 - 2*m**2 - 4*m**2). -12282*m**4 Expand (4*s**3 - s**3 - s**3)*(9 + 3 + 22)*((-5 - 1 + 2)*(-1 - 3 + 2)*(-22*s - 3*s + 39*s) - s + 5*s - s). 7820*s**4 Expand (-2*k + 7*k - 2*k)*(-182*k + 99*k + 100*k)*(-3 - k**2 + 3). -51*k**4 Expand (-i**3 + 2*i**4 + i**3)*(-5623*i - 126 - 1968*i + 126). -15182*i**5 Expand -5*k**3 - 3401 + 3401 + (7*k**3 + 4*k**3 - 3*k**3)*(-3 + 2 - 2). -29*k**3 Expand 1 - 1 + 2*v + (-2 - 3 + 2)*(-1 + 1 + 2*v) + 18*v - 76*v - 26*v - 4 + 4 + 2*v + (-3*v + 0*v + v)*(4 - 5 + 3). -90*v Expand (-6*b + 9 - 9)*(363 + 28 - 153). -1428*b Expand (5*c**2 + 10 - 10)*(1488 - 1160 + 2007). 11675*c**2 Expand (168*y + 170*y - 333*y + 70)*(-y + 2*y - 4*y). -15*y**2 - 210*y Expand (-2 + 6 + 2)*(3*c**3 - 5*c**3 + c**3 - 2*c) - 39*c**2 + 22*c**2 + 3 + 14*c**2 - 2*c**3. -8*c**3 - 3*c**2 - 12*c + 3 Expand (0*t + t**2 + 0*t + (-2*t - 1 + 1)*(t + t - 3*t) - 2*t**2 + 2*t - 2*t - 3*t**2 + 3*t**2 + t**2)*(5257 - 12307 + 2452). -9196*t**2 Expand (-39*g - 44*g + 84*g)*(-3*g - g + 2*g)*(-2*g + 3*g - 3*g). 4*g**3 Expand (-2 + 16*a**3 + 4 - 12*a**3)*(-52 + 13 - 57). -384*a**3 - 192 Expand (0*i + 0*i - 13*i)*(4779 - 1688 + 7891 + 3323 - 632). -177749*i Expand (5*t - 4*t - 5*t)*(t**3 + 4*t**3 - t**3) + 0*t**4 - 4*t**4 + 5*t**4 + (4*t**3 + 3*t**3 - 2*t**3)*(0 - t + 0). -20*t**4 Expand (2*u + 0 + 0)*(-7 + 8 - 13)*(1 + 1
{ "pile_set_name": "DM Mathematics" }
in ascending order. -204, -5, -1, 2, 4, 5, 6 Sort 30, -715, 1, 15 in descending order. 30, 15, 1, -715 Sort -1/12, -317, 1/4, 0.05, 2/7 in descending order. 2/7, 1/4, 0.05, -1/12, -317 Put 24490, -2, -19, 2, -1, 2/21 in increasing order. -19, -2, -1, 2/21, 2, 24490 Put -5, -7058, -8, 4 in descending order. 4, -5, -8, -7058 Sort 1/10615, 0.4, -37, -10. -37, -10, 1/10615, 0.4 Put 10175, 1, -43 in ascending order. -43, 1, 10175 Sort 9, 28, 5434. 9, 28, 5434 Sort -1807988, -2, 3 in increasing order. -1807988, -2, 3 Sort 0.2, -2/497, 5, -2, 2/1521. -2, -2/497, 2/1521, 0.2, 5 Sort 1/4, 2, -0.967, 5 in decreasing order. 5, 2, 1/4, -0.967 Sort -5, 7, -113024, 3, -1 in descending order. 7, 3, -1, -5, -113024 Sort -28893, 140, 8 in decreasing order. 140, 8, -28893 Sort 5, 17, 5065439 in descending order. 5065439, 17, 5 Sort -3, -28, -476904, -1 in ascending order. -476904, -28, -3, -1 Put -5, 4, -2, -1, 2, 441 in increasing order. -5, -2, -1, 2, 4, 441 Put -2/9, -0.07429, 5/6, 1/2, 321 in decreasing order. 321, 5/6, 1/2, -0.07429, -2/9 Put -2/5, 2/17, -1/8, 148 in ascending order. -2/5, -1/8, 2/17, 148 Put -69, 5, 4, -50, -22, 2 in ascending order. -69, -50, -22, 2, 4, 5 Sort -4, 3, -29, -2006. -2006, -29, -4, 3 Put -1, 0, -16, 1, -2, -8, 936 in ascending order. -16, -8, -2, -1, 0, 1, 936 Sort -12748.4, 2/13, 1 in decreasing order. 1, 2/13, -12748.4 Sort 2, -1, -4, 0, 395, -22, -29 in descending order. 395, 2, 0, -1, -4, -22, -29 Put -2, -88, -4, 3, -26, 0 in descending order. 3, 0, -2, -4, -26, -88 Sort -0.21, 25.8, 4, -1, 26, -4 in descending order. 26, 25.8, 4, -0.21, -1, -4 Sort 156, 0, 1, 4, -5, 2008 in increasing order. -5, 0, 1, 4, 156, 2008 Sort -25, 3, -14603 in increasing order. -14603, -25, 3 Sort 0, 20, -5, -4, -2, -151 in decreasing order. 20, 0, -2, -4, -5, -151 Put -5, -29, 5198, 6 in increasing order. -29, -5, 6, 5198 Sort -1169, 5, -145 in decreasing order. 5, -145, -1169 Sort -2616, -5, -175.6, -2. -2616, -175.6, -5, -2 Put -2, -4, 225, 9, -1, 4, 6 in decreasing order. 225, 9, 6, 4, -1, -2, -4 Put 2, 1, -710154 in increasing order. -710154, 1, 2 Sort 1, -69, -762, 3, -1, 110 in increasing order. -762, -69, -1, 1, 3, 110 Sort -1/13, -10, -6, 1/3, 189, 36 in descending order. 189, 36, 1/3, -1/13, -6, -10 Sort 740928, 1, 4 in ascending order. 1, 4, 740928 Put 120, 0.02, 11, 1/4, -3, -0.1 in increasing order. -3, -0.1, 0.02, 1/4, 11, 120 Sort -0.3, 0.03, -4685/456, -4 in decreasing order. 0.03, -0.3, -4, -4685/456 Sort 49, 2, -3, 1, -10, -5, 1236. -10, -5, -3, 1, 2, 49, 1236 Put -6/7, 1, -9.8841, -2 in decreasing order. 1, -6/7, -2, -9.8841 Sort -3, -21, -279, 0.16, 8/5, 0.2. -279, -21, -3, 0.16, 0.2, 8/5 Put -4/13, -4, 2/11, -615/376 in decreasing order. 2/11, -4/13, -615/376, -4 Put -35, -13, 1, -7, -10, 0 in descending order. 1, 0, -7, -10, -13, -35 Sort -11, 10, 4, -24, -4, -2, 194 in ascending order. -24, -11, -4, -2, 4, 10, 194 Put -33, 1, -5, 406, 5, 4, -1 in decreasing order. 406, 5, 4, 1, -1, -5, -33 Sort 4, -53, 5, -9, -5, 1, 73 in decreasing order. 73, 5, 4, 1, -5, -9, -53 Sort -25, 104, -463 in increasing order. -463, -25, 104 Sort -113, 3, 625, -50 in decreasing order. 625, 3, -50, -113 Sort 4, -2/2855, -79/540. -79/540, -2/2855, 4 Sort -213345, -6, 13, 1 in decreasing order. 13, 1, -6, -213345 Put 39, -2/15, 5, 20, 21 in descending order. 39, 21, 20, 5, -2/15 Sort 234, 45, -1, -87, -5, 0, 4. -87, -5, -1, 0, 4, 45, 234 Put 267, -1, 16, -135, -5 in decreasing order. 267, 16, -1, -5, -135 Put -1/7, 1826, 1843, -1, 0.2 in increasing order. -1, -1/7, 0.2, 1826, 1843 Sort -2/17107, 2, -1, -6, -4, -0.5 in increasing order. -6, -4, -1, -0.5, -2/17107, 2 Put -1/25, 4, 2, -12, -2/9, -1.18 in ascending order. -12, -1.18, -2/9, -1/25, 2, 4 Sort 30306/25, -292, -2/13 in ascending order. -292, -2/13, 30306/25 Put 1, 1487, 0.1131 in increasing order. 0.1131, 1, 1487 Sort 28, 6, -26, 738, 5, 3. -26, 3, 5, 6, 28, 738 Put -562, 6, -518, 4 in descending order. 6, 4, -518, -562 Sort 5/3, 107495, -0.1, 2 in descending order. 107495, 2, 5/3, -0.1 Sort 5, 613, 10, -101 in descending order. 613, 10, 5, -101 Sort 32, 36, 3, -1, -4, -178, 5 in descending order. 36, 32, 5, 3, -1, -4, -178 Put -4, 74, -3, -32, 580 in increasing order. -32, -4, -3, 74, 580 Put -3, 14, 1, -4, -158, -1 in ascending order. -158, -4, -3, -1, 1, 14 Put 6, -227, 0, -1, 2, -196, -2 in ascending order. -227, -196, -2, -1, 0, 2, 6 Put 31, -23, 760, 3, 10 in increasing order. -23, 3, 10, 31, 760 Sort -2/5, 1, -22/159. -2/5, -22/159, 1 Sort 60, -6, -5, 0, 2, 78. -6, -5, 0, 2, 60, 78 Sort -3, 388, -106, 5, 199 in decreasing order. 388, 199, 5, -3, -106 Put 1003/5, 4, -266 in decreasing order. 1003/5, 4, -266 Put 2, -773769, 5 in decreasing order. 5, 2, -773769 Put 1, -9, -0.092, 10.04, 2/13 in descending order. 10.04, 1, 2/13, -0.092, -9 Sort 10, 0.091, -6, -4.4, -5 in ascending order. -6, -5, -4.4, 0.091, 10 Sort 1, -5035, -5, 2, 5, -2, 4 in descending order. 5, 4, 2, 1, -2, -5, -5035 Sort -4, 695, 0.2, 0, -1/8, 1, -5 in ascending order. -5, -4, -1/8, 0, 0.2, 1, 695 Sort -4/3, 0, -1/2, 395511 in ascending order. -4/3, -1/2, 0, 395511 Put -15, -39, 3, -2, 12 in increasing order. -39, -15, -2, 3, 12 Put -2, 461, -34, -17 in decreasing order. 461, -2, -17, -34 Sort -103, -5/6, -15, -0.5 in ascending order. -103, -15, -5/6, -0.5 Put -33370, 61, -3 in increasing order. -33370, -3, 61 Sort 2/7, -1/4, -2/3, -3, 2896. -3, -2/3, -1/4, 2/7, 2896 Put -1/4, -1/7, -5/7, 4443, -1 in increasing order. -1, -5/7, -1/4, -1/7, 4443 Sort 1/8, -2588, 3/7, 162.366 in decreasing order. 162.366, 3/7, 1/8, -2588 Sort 5, -54, -3, 54267 in descending order. 54267, 5, -3, -54 Sort 5, -8, -1161, -1, -59 in increasing order. -1161, -59, -8, -1, 5 Sort -2, 3, 379374, -59 in descending order. 379374, 3, -2, -59 Put 552, 102, 3, -3, -359 in decreasing order. 552, 102, 3, -3, -359 Put -2, -657, 3/7, 4, 0.1, 0 in decreasing order. 4, 3/7, 0.1, 0, -2, -657 Put 70587, 168, 1, 5 in ascending order. 1, 5, 168, 70587 Sort -1, 227293, -2, -5 in increasing order. -5, -2, -1, 227293 Put -76.14, 290, -2/7 in decreasing order. 290, -2/7, -76.14 Sort 3, 178, 33, 4, -3, -13 in descending order. 178, 33, 4, 3, -3, -13 Put -2, -46581, 114, -13 in increasing order. -46581, -13, -2, 114 Sort 587, 2, 21577 in descending order. 21577, 587, 2 Sort -13, -2, 5, -3, -0.1, 52, -0.2 in descending order. 52, 5, -0.1, -0.2, -2, -3, -13 Put 2, 5, 67, -5, 4, -20, -2 in increasing order. -20, -5, -2, 2, 4, 5, 67 Sort 0.055, -1, 4, -6, -0.2, 24/5 in decreasing order. 24/5, 4, 0.055, -0.2, -1, -6 Sort -5, 3, 200, 215 in increasing order. -5, 3, 200, 215 Put 7/4, -4, 0.3, 2, -11, -1 in decreasing order. 2, 7/4, 0.3, -1, -4, -11 Sort 937, -671, 1, 5 in decreasing order. 937, 5, 1, -671 Sort 4, -32, 1885, -5, 3 in increasing order. -32, -5, 3, 4, 1885 Put 181, -2, 9, -3, 0, -5, 2 in decreasing order. 181, 9, 2, 0, -2, -3, -5 Put -4, 28/33, 0, -1175.9, -0.4 in decreasing order. 28/33, 0, -0.4, -4, -1175.9 Sort -22, 138, 31 in ascending order. -22, 31, 138 Sort 5, -6, -38, -50, 1. -50, -38, -6, 1, 5 Sort -2/17, -2/5, -3, 4, 2/177, 85. -3, -2/5, -2/17, 2/177, 4, 85 Sort 0, -2/13, -119, 271, -0.3 in ascending order. -119, -0.3, -2/13, 0, 271 Sort -4, -2, -23, -1, -3, 76, 135 in descending order. 135, 76, -1, -2, -3, -4, -23 Sort -4, -1, -3, -7222676 in descending order. -1, -3, -4, -7222676 Put 6, -83, 4, -454, 63 in descending order. 63, 6, 4, -83, -454 Put -2, -11, 20, -5, -15, 0, -118 in ascending order. -118, -15, -11, -5, -2, 0, 20 Put -1626747, 3/7, 5/13 in descending order. 3/7, 5/13, -1626747 Sort 0, 4272733, 0.23 in increasing order. 0, 0.23, 4272733 Sort -1, -2, 10, 5, 1, -3194 in descending order. 10, 5, 1, -1, -2, -3194 Sort 0.07, -1/3, 2/9, 175522 in descending order. 175522, 2/9, 0.07, -1/3 Sort 22, 24071, 1, -5, -1 in decreasing order. 24071, 22, 1, -1, -5 Sort 0, -1, 17, -80982 in ascending order. -80982, -1, 0, 17 Sort 3, 5, -1074, -35, -2, -7 in ascending order. -1074, -35, -7, -2, 3, 5 Sort -298, 114, 0 in ascending order. -298, 0, 114 Put 16/587707, -1, 1/3 in descending order. 1/3, 16/587707, -1 Put -3/7, 10/561, 1/2681 in descending order. 10/561, 1/2681, -3/7 Put -3673/3, -0.5, 95 in descending order. 95, -0.5, -3673/3 Put 2,
{ "pile_set_name": "DM Mathematics" }
1457 is divided by 807? 650 What is the remainder when 99222 is divided by 23? 0 Calculate the remainder when 11158 is divided by 446. 8 What is the remainder when 65665 is divided by 1134? 1027 Calculate the remainder when 84867 is divided by 103. 98 Calculate the remainder when 3807 is divided by 1224. 135 Calculate the remainder when 2182 is divided by 110. 92 Calculate the remainder when 1420 is divided by 523. 374 Calculate the remainder when 757953 is divided by 166. 163 Calculate the remainder when 10248 is divided by 250. 248 What is the remainder when 73834 is divided by 355? 349 Calculate the remainder when 43248 is divided by 183. 60 Calculate the remainder when 936087 is divided by 135. 132 What is the remainder when 300993 is divided by 37? 35 What is the remainder when 268932 is divided by 35? 27 What is the remainder when 1028918 is divided by 45? 38 Calculate the remainder when 1925 is divided by 264. 77 What is the remainder when 2531334 is divided by 882? 876 What is the remainder when 22754 is divided by 75? 29 Calculate the remainder when 88381 is divided by 22086. 37 Calculate the remainder when 1077092 is divided by 15. 2 What is the remainder when 21337558 is divided by 60? 58 What is the remainder when 312578 is divided by 26? 6 Calculate the remainder when 281233 is divided by 88. 73 Calculate the remainder when 3759 is divided by 379. 348 Calculate the remainder when 174257 is divided by 3869. 152 Calculate the remainder when 38263 is divided by 814. 5 Calculate the remainder when 422735 is divided by 330. 5 Calculate the remainder when 21064 is divided by 254. 236 What is the remainder when 109232 is divided by 102? 92 Calculate the remainder when 3702 is divided by 1233. 3 Calculate the remainder when 3105 is divided by 3064. 41 Calculate the remainder when 4413 is divided by 294. 3 Calculate the remainder when 16405 is divided by 108. 97 What is the remainder when 317093 is divided by 99? 95 What is the remainder when 64121 is divided by 241? 15 What is the remainder when 6913 is divided by 2179? 376 Calculate the remainder when 443380 is divided by 221680. 20 Calculate the remainder when 8903 is divided by 2963. 14 What is the remainder when 5068 is divided by 230? 8 Calculate the remainder when 12220 is divided by 347. 75 What is the remainder when 17746 is divided by 810? 736 Calculate the remainder when 238468 is divided by 7226. 10 What is the remainder when 219 is divided by 146? 73 What is the remainder when 3393 is divided by 137? 105 What is the remainder when 107827 is divided by 10? 7 What is the remainder when 25417 is divided by 8462? 31 What is the remainder when 2835 is divided by 358? 329 Calculate the remainder when 156191 is divided by 117. 113 Calculate the remainder when 16619 is divided by 33. 20 Calculate the remainder when 174941 is divided by 81. 62 Calculate the remainder when 84670 is divided by 6512. 14 Calculate the remainder when 30880 is divided by 87. 82 What is the remainder when 2470 is divided by 24? 22 What is the remainder when 1262 is divided by 203? 44 What is the remainder when 12108 is divided by 7? 5 What is the remainder when 1713 is divided by 30? 3 Calculate the remainder when 34875 is divided by 895. 865 What is the remainder when 110720 is divided by 845? 25 Calculate the remainder when 293197 is divided by 6. 1 What is the remainder when 92788 is divided by 45? 43 Calculate the remainder when 27728 is divided by 12. 8 What is the remainder when 112339 is divided by 57? 49 What is the remainder when 4644 is divided by 81? 27 What is the remainder when 112791 is divided by 385? 371 Calculate the remainder when 142194 is divided by 93. 90 What is the remainder when 42131 is divided by 14041? 8 What is the remainder when 699982 is divided by 48? 46 What is the remainder when 2614 is divided by 118? 18 What is the remainder when 18126 is divided by 44? 42 What is the remainder when 24114 is divided by 120? 114 What is the remainder when 297 is divided by 272? 25 What is the remainder when 172158 is divided by 533? 532 What is the remainder when 1320 is divided by 247? 85 Calculate the remainder when 20235 is divided by 235. 25 Calculate the remainder when 30548 is divided by 25. 23 Calculate the remainder when 16702 is divided by 12. 10 What is the remainder when 13259 is divided by 3208? 427 What is the remainder when 456950 is divided by 340? 330 Calculate the remainder when 56862 is divided by 147. 120 What is the remainder when 36194 is divided by 95? 94 Calculate the remainder when 802 is divided by 148. 62 What is the remainder when 4909 is divided by 307? 304 Calculate the remainder when 1410 is divided by 158. 146 What is the remainder when 3287 is divided by 117? 11 Calculate the remainder when 5974 is divided by 76. 46 Calculate the remainder when 153064 is divided by 975. 964 Calculate the remainder when 11081 is divided by 226. 7 Calculate the remainder when 42923 is divided by 14268. 119 Calculate the remainder when 5412 is divided by 923. 797 Calculate the remainder when 6706 is divided by 267. 31 Calculate the remainder when 22324 is divided by 22279. 45 Calculate the remainder when 25114 is divided by 8362. 28 What is the remainder when 231430 is divided by 399? 10 Calculate the remainder when 103347 is divided by 14. 13 Calculate the remainder when 154601 is divided by 27. 26 Calculate the remainder when 4970 is divided by 199. 194 Calculate the remainder when 20911 is divided by 5218. 39 What is the remainder when 182661 is divided by 725? 686 What is the remainder when 29163 is divided by 5828? 23 Calculate the remainder when 488965 is divided by 45. 40 Calculate the remainder when 22123 is divided by 2210. 23 What is the remainder when 3391375 is divided by 830? 825 Calculate the remainder when 2241089 is divided by 74. 73 What is the remainder when 9709 is divided by 41? 33 What is the remainder when 10492 is divided by 38? 4 Calculate the remainder when 29248 is divided by 75. 73 What is the remainder when 26976 is divided by 23? 20 Calculate the remainder when 57987 is divided by 467. 79 What is the remainder when 13360 is divided by 558? 526 What is the remainder when 4068 is divided by 47? 26 What is the remainder when 28233 is divided by 181? 178 Calculate the remainder when 2768 is divided by 275. 18 Calculate the remainder when 1662 is divided by 1063. 599 What is the remainder when 15619 is divided by 600? 19 Calculate the remainder when 220603 is divided by 77. 75 What is the remainder when 723 is divided by 6? 3 Calculate the remainder when 293662 is divided by 42. 40 What is the remainder when 13120 is divided by 13037? 83 What is the remainder when 14709 is divided by 20? 9 Calculate the remainder when 11339 is divided by 266. 167 Calculate the remainder when 29372 is divided by 358. 16 What is the remainder when 177759 is divided by 55? 54 What is the remainder when 11986 is divided by 5831? 324 Calculate the remainder when 46896 is divided by 175. 171 Calculate the remainder when 9914 is divided by 1978. 24 What is the remainder when 3397 is divided by 129? 43 Calculate the remainder when 5696 is divided by 5541. 155 Calculate the remainder when 3000 is divided by 2914. 86 What is the remainder when 228107 is divided by 31? 9 What is the remainder when 29178 is divided by 633? 60 What is the remainder when 2576 is divided by 2408? 168 What is the remainder when 12883 is divided by 67? 19 Calculate the remainder when 1941306 is divided by 64. 58 Calculate the remainder when 19141 is divided by 8. 5 Calculate the remainder when 391844 is divided by 399. 26 What is the remainder when 10501 is divided by 5041? 419 What is the remainder when 3327 is divided by 306? 267 Calculate the remainder when 1529 is divided by 29. 21 What is the remainder when 6466 is divided by 647? 643 Calculate the remainder when 315340 is divided by 13. 12 What is the remainder when 87312 is divided by 949? 4 Calculate the remainder when 135 is divided by 130. 5 Calculate the remainder when 6776 is divided by 877. 637 Calculate the remainder when 277543 is divided by 277536. 7 What is the remainder when 89259 is divided by 346? 337 Calculate the remainder when 40
{ "pile_set_name": "DM Mathematics" }
of 1325? 1 What is the thousands digit of 11099? 1 What is the hundreds digit of 757? 7 What is the tens digit of 4033? 3 What is the hundreds digit of 11244? 2 What is the tens digit of 43095? 9 What is the units digit of 19140? 0 What is the tens digit of 31647? 4 What is the thousands digit of 2727? 2 What is the thousands digit of 45654? 5 What is the units digit of 26285? 5 What is the tens digit of 2019? 1 What is the units digit of 9121? 1 What is the hundreds digit of 3129? 1 What is the hundreds digit of 15153? 1 What is the tens digit of 1031? 3 What is the hundreds digit of 145737? 7 What is the tens digit of 475? 7 What is the hundreds digit of 2153? 1 What is the units digit of 9? 9 What is the thousands digit of 27620? 7 What is the hundreds digit of 41935? 9 What is the hundreds digit of 19112? 1 What is the hundreds digit of 769? 7 What is the tens digit of 3427? 2 What is the thousands digit of 4634? 4 What is the hundred thousands digit of 139481? 1 What is the hundreds digit of 1214? 2 What is the tens digit of 1873? 7 What is the hundreds digit of 1032? 0 What is the hundreds digit of 8064? 0 What is the hundreds digit of 1794? 7 What is the thousands digit of 1284? 1 What is the hundreds digit of 1782? 7 What is the units digit of 16051? 1 What is the tens digit of 902? 0 What is the thousands digit of 25302? 5 What is the ten thousands digit of 35161? 3 What is the ten thousands digit of 99042? 9 What is the hundreds digit of 763? 7 What is the hundreds digit of 69493? 4 What is the tens digit of 42038? 3 What is the hundreds digit of 12809? 8 What is the thousands digit of 12295? 2 What is the hundreds digit of 3119? 1 What is the thousands digit of 6793? 6 What is the thousands digit of 13393? 3 What is the thousands digit of 5511? 5 What is the thousands digit of 47394? 7 What is the hundreds digit of 584? 5 What is the tens digit of 8075? 7 What is the hundreds digit of 109348? 3 What is the tens digit of 42070? 7 What is the hundreds digit of 4523? 5 What is the hundreds digit of 2145? 1 What is the hundreds digit of 31359? 3 What is the hundreds digit of 99756? 7 What is the hundreds digit of 2617? 6 What is the hundreds digit of 79695? 6 What is the hundreds digit of 11334? 3 What is the thousands digit of 2295? 2 What is the hundreds digit of 2404? 4 What is the units digit of 1152? 2 What is the tens digit of 46? 4 What is the hundreds digit of 356? 3 What is the ten thousands digit of 15175? 1 What is the hundreds digit of 1407? 4 What is the hundreds digit of 2223? 2 What is the tens digit of 264? 6 What is the ten thousands digit of 40178? 4 What is the thousands digit of 65458? 5 What is the tens digit of 21436? 3 What is the hundreds digit of 423? 4 What is the hundreds digit of 10353? 3 What is the tens digit of 5578? 7 What is the thousands digit of 52428? 2 What is the hundreds digit of 5666? 6 What is the tens digit of 8646? 4 What is the units digit of 188? 8 What is the hundreds digit of 26236? 2 What is the units digit of 50673? 3 What is the tens digit of 40002? 0 What is the units digit of 662? 2 What is the units digit of 8? 8 What is the tens digit of 7086? 8 What is the units digit of 93084? 4 What is the thousands digit of 18103? 8 What is the units digit of 5767? 7 What is the hundreds digit of 1204? 2 What is the hundreds digit of 294? 2 What is the thousands digit of 3417? 3 What is the tens digit of 4123? 2 What is the hundreds digit of 33459? 4 What is the thousands digit of 3950? 3 What is the thousands digit of 4850? 4 What is the thousands digit of 7903? 7 What is the tens digit of 3296? 9 What is the units digit of 1548? 8 What is the tens digit of 207? 0 What is the units digit of 245? 5 What is the tens digit of 6467? 6 What is the hundreds digit of 407? 4 What is the units digit of 20390? 0 What is the units digit of 10012? 2 What is the hundreds digit of 922? 9 What is the hundreds digit of 106515? 5 What is the units digit of 7532? 2 What is the thousands digit of 5412? 5 What is the ten thousands digit of 68387? 6 What is the thousands digit of 8476? 8 What is the ten thousands digit of 10263? 1 What is the tens digit of 27631? 3 What is the ten thousands digit of 60650? 6 What is the units digit of 7003? 3 What is the units digit of 2193? 3 What is the tens digit of 30193? 9 What is the ten thousands digit of 24167? 2 What is the tens digit of 1223? 2 What is the thousands digit of 2058? 2 What is the hundreds digit of 10966? 9 What is the hundreds digit of 37715? 7 What is the units digit of 310? 0 What is the ten thousands digit of 10210? 1 What is the units digit of 75576? 6 What is the hundreds digit of 923? 9 What is the thousands digit of 47242? 7 What is the hundreds digit of 41388? 3 What is the tens digit of 602? 0 What is the units digit of 27? 7 What is the units digit of 1088? 8 What is the tens digit of 9745? 4 What is the hundreds digit of 28178? 1 What is the units digit of 310? 0 What is the thousands digit of 2983? 2 What is the hundreds digit of 780? 7 What is the units digit of 1062? 2 What is the ten thousands digit of 85757? 8 What is the tens digit of 4241? 4 What is the tens digit of 74496? 9 What is the tens digit of 35237? 3 What is the hundreds digit of 771? 7 What is the units digit of 2933? 3 What is the hundreds digit of 10111? 1 What is the hundreds digit of 3294? 2 What is the ten thousands digit of 15464? 1 What is the units digit of 5067? 7 What is the units digit of 7094? 4 What is the units digit of 421? 1 What is the hundreds digit of 8051? 0 What is the thousands digit of 5078? 5 What is the thousands digit of 8864? 8 What is the hundreds digit of 1645? 6 What is the thousands digit of 9036? 9 What is the hundreds digit of 2323? 3 What is the thousands digit of 37691? 7 What is the hundreds digit of 14942? 9 What is the hundreds digit of 95533? 5 What is the tens digit of 317? 1 What is the hundreds digit of 1000? 0 What is the thousands digit of 1137? 1 What is the units digit of 2755? 5 What is the units digit of 1776? 6 What is the tens digit of 628? 2 What is the tens digit of 4983? 8 What is the units digit of 451? 1 What is the units digit of 17602? 2 What is the units digit of 2? 2 What is the thousands digit of 2366? 2 What is the hundreds digit of 1398? 3 What is the units digit of 598? 8 What is the hundreds digit of 589? 5 What is the hundreds digit of 99713? 7 What is the tens digit of 42318? 1 What is the hundreds digit of 2266? 2 What is the tens digit of 127156? 5 What is the tens digit of 19216? 1 What is the ten thousands digit of 67686? 6 What is the units digit of 4586? 6 What is the tens digit of 633? 3 What is the ten thousands digit of 71072? 7 What is the hundreds digit of 7729? 7 What is the ten thousands digit of 23909? 2 What is the thousands digit of 17336? 7 What is the units digit of 3403? 3 What is the units digit of 1550? 0 What is the hundreds digit of 3587? 5 What is the units digit of 6517? 7 What is the tens digit of 4549? 4 What is the units digit of 337? 7 What is the units digit of 24571? 1 What is the tens digit of 646? 4 What is the ten thousands digit of 26895? 2 What is the units digit of 1015? 5 What is the units digit of 314? 4 What is the thousands digit of 13163? 3 What is the tens digit of 1248? 4 What is the tens digit of 1625? 2 What is the tens digit of 809? 0 What is the thousands digit of 1817? 1 What is the ten thousands digit of 26719? 2 What is the hundreds digit of 14500? 5 What is the ten thousands digit of 94443? 9 What is the hundreds digit of 41569? 5 What is the units digit of 1870? 0 What is the hundreds digit of 231? 2 What is the tens digit of 33835? 3 What is the tens digit of 394? 9 What is the tens digit of 3046? 4 What is the hundreds digit of 186783? 7 What is the hundreds digit of 21960? 9 What is the thousands digit of 74719? 4 What is the tens digit of 6630? 3 What is the hundreds digit of 22375? 3 What is the ten thousands digit of 78582? 7 What is the tens digit of 3267? 6 What is the tens digit of 588? 8 What is the units digit of 38078? 8 What is the tens digit of 690? 9 What is the hundreds digit of 45536? 5 What is the units digit of 517? 7 What is the hundreds
{ "pile_set_name": "DM Mathematics" }
3583 What are the prime factors of 1358834? 2, 679417 What are the prime factors of 554486? 2, 53, 5231 What are the prime factors of 13764? 2, 3, 31, 37 What are the prime factors of 4310525? 5, 172421 List the prime factors of 68678. 2, 23, 1493 List the prime factors of 6271105. 5, 29, 61, 709 What are the prime factors of 4016149? 4016149 List the prime factors of 3039181. 3039181 What are the prime factors of 5288784? 2, 3, 110183 List the prime factors of 68910. 2, 3, 5, 2297 What are the prime factors of 18723162? 2, 3, 3120527 List the prime factors of 2883978. 2, 3, 53407 List the prime factors of 4429747. 7, 90403 List the prime factors of 482396. 2, 83, 1453 What are the prime factors of 2217895? 5, 31, 41, 349 List the prime factors of 70135. 5, 13, 83 What are the prime factors of 246297? 3, 19, 29, 149 What are the prime factors of 4233572? 2, 7, 47, 3217 List the prime factors of 1711523. 11, 155593 What are the prime factors of 4082993? 4082993 What are the prime factors of 794699? 17, 46747 List the prime factors of 1442161. 7, 17, 12119 List the prime factors of 2185173. 3, 242797 What are the prime factors of 109385? 5, 131, 167 List the prime factors of 275954. 2, 7, 23, 857 What are the prime factors of 1508182? 2, 13, 19, 43, 71 What are the prime factors of 267879? 3, 89293 List the prime factors of 10649348. 2, 19, 140123 What are the prime factors of 689757? 3, 19, 12101 What are the prime factors of 1100987? 23, 47869 List the prime factors of 584903. 11, 53173 List the prime factors of 369332. 2, 92333 What are the prime factors of 4172024? 2, 521503 What are the prime factors of 6269124? 2, 3, 17, 79, 389 List the prime factors of 14565642. 2, 3, 7, 13, 37, 103 List the prime factors of 1136973. 3, 37, 10243 List the prime factors of 1973642. 2, 11, 283, 317 List the prime factors of 2442713. 7, 13, 17, 1579 List the prime factors of 7054785. 3, 5, 211, 743 List the prime factors of 801120. 2, 3, 5, 1669 List the prime factors of 117980. 2, 5, 17, 347 What are the prime factors of 398472? 2, 3, 16603 What are the prime factors of 8587870? 2, 5, 858787 List the prime factors of 249045. 3, 5, 16603 What are the prime factors of 8749224? 2, 3, 11, 11047 What are the prime factors of 646679? 11, 58789 List the prime factors of 26641949. 3163, 8423 What are the prime factors of 5649113? 29, 131, 1487 List the prime factors of 82162. 2, 41081 What are the prime factors of 1120192? 2, 23, 761 What are the prime factors of 521061? 3, 173687 What are the prime factors of 1258140? 2, 3, 5, 13, 1613 What are the prime factors of 1161399? 3, 101, 3833 List the prime factors of 4871798. 2, 809, 3011 List the prime factors of 195996. 2, 3, 16333 List the prime factors of 107835. 3, 5, 7, 13, 79 List the prime factors of 382539. 3, 29, 4397 List the prime factors of 284034. 2, 3, 47339 What are the prime factors of 1671249? 3, 23, 53, 457 List the prime factors of 1746704. 2, 109169 List the prime factors of 1212296. 2, 151537 What are the prime factors of 10252497? 3, 619, 5521 What are the prime factors of 23435980? 2, 5, 59, 19861 List the prime factors of 1177345. 5, 13, 59, 307 List the prime factors of 10735. 5, 19, 113 List the prime factors of 657414. 2, 3, 36523 What are the prime factors of 959824? 2, 239, 251 List the prime factors of 3769908. 2, 3, 314159 List the prime factors of 986131. 986131 List the prime factors of 1972873. 7, 281839 What are the prime factors of 699138? 2, 3, 11, 107 What are the prime factors of 23314130? 2, 5, 7, 271, 1229 What are the prime factors of 12121969? 17, 761, 937 What are the prime factors of 22270402? 2, 7, 11, 73, 283 List the prime factors of 44978463. 3, 1665869 List the prime factors of 420165. 3, 5, 9337 List the prime factors of 373584. 2, 3, 43, 181 List the prime factors of 395832. 2, 3, 16493 List the prime factors of 196463. 223, 881 List the prime factors of 405961. 313, 1297 List the prime factors of 600411. 3, 7, 28591 What are the prime factors of 5282049? 3, 827, 2129 What are the prime factors of 317938? 2, 71, 2239 What are the prime factors of 527968? 2, 7, 2357 List the prime factors of 1826572. 2, 11, 41513 List the prime factors of 26758. 2, 17, 787 List the prime factors of 192993. 3, 23, 2797 List the prime factors of 1349442. 2, 3, 61, 1229 What are the prime factors of 239357? 239357 What are the prime factors of 21525422? 2, 719, 14969 What are the prime factors of 720304? 2, 13, 3463 List the prime factors of 25442. 2, 12721 List the prime factors of 899852. 2, 23, 9781 What are the prime factors of 23279712? 2, 3, 19, 12763 What are the prime factors of 1460772? 2, 3, 40577 What are the prime factors of 1646569? 17, 96857 What are the prime factors of 1542300? 2, 3, 5, 53, 97 List the prime factors of 559710. 2, 3, 5, 691 What are the prime factors of 8871770? 2, 5, 887177 What are the prime factors of 3754199? 113, 33223 What are the prime factors of 153606? 2, 3, 25601 List the prime factors of 529597. 41, 12917 List the prime factors of 1887297. 3, 157, 4007 List the prime factors of 1268036. 2, 7, 11, 23, 179 List the prime factors of 531951. 3, 7, 73, 347 What are the prime factors of 197286? 2, 3, 131, 251 What are the prime factors of 687912? 2, 3, 28663 What are the prime factors of 536058? 2, 3, 1103 List the prime factors of 175502. 2, 87751 What are the prime factors of 146189? 29, 71 What are the prime factors of 10573186? 2, 13, 406661 List the prime factors of 15990959. 251, 63709 List the prime factors of 251086. 2, 11, 101, 113 List the prime factors of 167392. 2, 5231 List the prime factors of 226960. 2, 5, 2837 What are the prime factors of 620911? 620911 List the prime factors of 177742. 2, 181, 491 List the prime factors of 15223211. 17, 107, 8369 List the prime factors of 338542. 2, 19, 59, 151 List the prime factors of 965533. 965533 What are the prime factors of 8896791? 3, 23, 128939 List the prime factors of 2865213. 3, 13, 907 List the prime factors of 145520. 2, 5, 17, 107 What are the prime factors of 531430? 2, 5, 19, 2797 List the prime factors of 12609118. 2, 179, 35221 List the prime factors of 5371857. 3, 23, 25951 What are the prime factors of 5268244? 2, 19, 103, 673 List the prime factors of 358959. 3, 119653 What are the prime factors of 322334? 2, 161167 List the prime factors of 14612968. 2, 67, 137, 199 What are the prime factors of 3439241? 13, 61, 4337 List the prime factors of 16940448. 2, 3, 7, 2801 What are the prime factors of 1137104? 2, 71069 What are the prime factors of 4876127? 17, 286831 What are the prime factors of 868129? 19, 45691 What are the prime factors of 1455150? 2, 3, 5, 89, 109 List the prime factors of 34012715. 5, 11, 618413 What are the prime factors of 201871? 23, 67, 131 List the prime factors of 14116277. 7, 37, 54503 What are the prime factors of 651908? 2, 79, 2063 List the prime factors of 17840105. 5, 37, 73, 1321 What are the prime factors of 5211521? 7, 744503 What are the prime factors of 652592? 2, 40787 What are the prime factors of 1282180? 2, 5, 64109 What are the prime factors of 639895? 5, 127979 What are the prime factors of 613897? 137, 4481 List the prime factors of 37487959. 31, 43, 28123 What are the prime factors of 6179015? 5, 1235803 What are the prime factors of 69741? 3, 7, 41 What are the prime factors of 4300883? 97, 101, 439 List the prime factors of 348794. 2, 73, 2389 List the prime factors of 181128. 2, 3, 7547 List the prime factors of 1325572. 2, 283, 1171 What are the prime factors of 292832? 2, 9151 What are the prime factors of 342570? 2, 3, 5, 19, 601 List the prime factors of 4139522. 2, 2069761 List the prime factors of 289311. 3, 11, 797 List the prime factors of 3838629. 3, 877, 1459 List the prime factors of 1294875. 3, 5, 1151 What are the prime factors of 13288950? 2, 3, 5, 29531 List the prime factors of 105349. 17, 6197 What are the prime factors of 1133194? 2, 443, 1279 What are the prime factors of 101985? 3, 5, 13, 523 What are the prime factors of 1606824? 2, 3, 43, 173 List the prime factors of 2917023. 3, 29, 33529 What are the prime factors of 1016810? 2, 5, 101681 List the prime factors of 4160948. 2, 11, 8597 List the prime fac
{ "pile_set_name": "DM Mathematics" }
u? 5 Let o = -101294 - -155460. What is the ten thousands digit of o? 5 Suppose -5*d + d = -2*o - 138, -4*o + d = 276. Let k = o + 61. Let y(c) = -c + 19. What is the tens digit of y(k)? 2 Suppose 1097*z - 1774093 = 1030*z. What is the tens digit of z? 7 Suppose -71*b + 75*b - 3000 = 0. Let z = 899 - b. What is the tens digit of z? 4 Let l(m) = 2*m**3 - 4*m**2 + 8*m + 8. Let q(f) = -f - 1. Let r(x) = -l(x) - 5*q(x). Let d be r(2). What is the units digit of (-3 - -6)/(d/(-48))? 6 What is the tens digit of 95082/12 - 20/8? 2 Let a be 5/((-38)/(-8) + -5). Let w be (-3)/(8/a - 2/20). Suppose -1 = w*o - 13. What is the units digit of o? 2 Let k(m) = -1243*m - 1733. What is the units digit of k(-16)? 5 Let y be 5/(-2)*(21 - 33). What is the tens digit of ((-48)/y)/((-8)/2180)? 3 Let o be (-3 - (284/(-10) + -2))*5. Let h = -202 + o. Let u = h - -93. What is the tens digit of u? 2 Let i(h) = -h**2 - 21*h - 25. Let k be i(-19). Let f = k - -2. Let b = f + 18. What is the units digit of b? 3 Let k = -1174 + 1662. Suppose 0 = 14*p + k - 1342. What is the tens digit of p? 6 Let l(a) = -76*a + 38. Suppose 3*k - 4*t + 36 = 0, -3*t - 9 = -0*t. Let p be l(k). What is the units digit of 0 - (-9)/12 - p/(-24)? 3 Let f = 445 + -465. What is the units digit of (-1921)/(-2) - f/40? 1 Suppose -11*n + 80 = 25. Let q(j) = -1 - 4 + n*j - 3 + 62*j. What is the tens digit of q(2)? 2 Suppose -159*g = -144*g - 915. Let b(x) = 2*x**2 - 3*x + 2. Let w be b(-5). Let y = w + g. What is the units digit of y? 8 Let a(u) = -7500*u + 2298. What is the hundreds digit of a(-5)? 7 Suppose l - 40 = -36. Suppose 0 = -l*d + p + 2656, p = 4*d - 4*p - 2672. What is the units digit of d? 3 What is the hundreds digit of (34*(-9 - 9))/(12/(-272))? 8 Let s = 146 - 152. What is the units digit of (4280/16 - s/4) + -2? 7 Let t be (-38)/133 - (-34320)/21. Let z = 2366 - t. What is the hundreds digit of z? 7 Let z = -16646 - -30362. What is the units digit of z? 6 Let t = 287 - 284. Suppose 1283 = 2*x + t*u, 2*x - 15*u = -11*u + 1262. What is the units digit of x? 7 Suppose -120295 = -6633*r + 6620*r - 24368. What is the units digit of r? 9 Suppose 8*i - 11 = 29. Suppose 0*n - i*n - 5 = 0, 3*t = -4*n + 1169. What is the units digit of t? 1 What is the tens digit of ((-256)/(-640))/(1/13190)? 7 Suppose -4*q = -8*q - 4*b, 0 = -2*q + 4*b - 24. Let j = q - -200. What is the tens digit of j? 9 Let q(i) = -10*i - 126. Let w be q(-13). Suppose -3*b + k = w*k - 2721, -b - 5*k + 895 = 0. What is the hundreds digit of b? 9 Suppose -8114 - 63417 = -42*h + 74881. What is the tens digit of h? 8 Suppose 0 = -8*s - 721 - 247. Let f = -77 - s. What is the tens digit of f? 4 Suppose 4*q = q - 3*s + 105, -2*s - 158 = -4*q. Suppose 0 = q*l - 43*l + 365. Let p = 262 - l. What is the hundreds digit of p? 1 Suppose -22*s - 2355 = -p - 28*s, 4659 = 2*p - 5*s. What is the tens digit of p? 3 Let n(w) = w**3 - 43*w**2 - 191*w - 67. What is the units digit of n(51)? 0 Let n(t) be the first derivative of t**4/4 - 3*t**3 + t**2/2 - 175*t + 152. What is the hundreds digit of n(13)? 5 Let g = -517 - -287. What is the units digit of 3 + -5 + -4 - g? 4 Let b be 10 + -1*(2 + -1). Let v = 1567 + -1278. Suppose 4*n = v - b. What is the units digit of n? 0 What is the hundreds digit of (-1 - (-4738)/6)/(112/1176)? 2 Let o = -283 + 360. Suppose 82*h - 2935 = o*h. What is the hundreds digit of h? 5 Suppose 0 = 21*o - 19502 - 17983. Suppose -448*z + o = -443*z. What is the tens digit of z? 5 Suppose -2*z = 4*v - 25928, 2*z - 21773 = -2*v + 4149. What is the units digit of z? 8 Suppose 81*g + 59*g - 828840 = 20*g. What is the thousands digit of g? 6 Suppose 13*h - 43851 - 185537 - 21538 = 0. What is the ten thousands digit of h? 1 Let k be 0/(-1)*1/1. Suppose -6*f + 4*f + 3*v + 2087 = k, 0 = -2*f + 5*v + 2089. What is the units digit of f? 2 Let i(r) = 1018*r**2 + 2*r. Let k = -211 + 212. What is the thousands digit of i(k)? 1 Suppose -2*g + 4 - 2 = 0, 3*r - 4*g = 935. What is the tens digit of r? 1 Let z = -174 - -170. Let d = 210 + z. What is the units digit of d? 6 Let f(m) = m**3 - 4*m**2 + 5*m + 6. Let t be f(5). Let y = 40 - t. Let q(v) = -2*v + 17. What is the units digit of q(y)? 9 Let u(s) = 23*s**2 - 24*s**2 + 12*s + 14*s. Let a be u(26). Suppose a = -8*l + 464 - 88. What is the tens digit of l? 4 Suppose 812931 = -73*f - 69*f + 163*f. What is the thousands digit of f? 8 Let s = 4392 + 6293. What is the ten thousands digit of s? 1 Suppose -5*z + 27 = -4*b, -3*z + 2*b = -2*b - 21. Suppose -2*k - d - 159 = 0, -z*d = -k + 4*k + 231. Let t = 139 + k. What is the units digit of t? 7 Let d = 12524 + -8346. What is the hundreds digit of d? 1 Suppose -n - 56052 = -5*p, -22*n - 56060 = -5*p - 17*n. What is the thousands digit of p? 1 Suppose -6*b + 3*b - 540 = 0. What is the hundreds digit of 392/3*-3*b/70? 0 Let y(t) = 146*t - 50. Let h be y(-18). Let j = -1672 - h. What is the units digit of j? 6 Suppose 0 = -11*i + 111598 + 149179. What is the units digit of i? 7 Let y = -246 - -251. Suppose -175 = -f + y*r, -1 - 24 = 5*r. What is the tens digit of f? 5 Let k = 3858 - 2167. What is the thousands digit of k? 1 Let k = -39 + 30. Let v be (3 - 4 - 2)/(k/(-84)). Let r = 55 + v. What is the tens digit of r? 2 Let r be (2 - (-12)/(-9)) + (-368)/(-69). Suppose -r*u + 403 + 3653 = 0. What is the tens digit of u? 7 Suppose 2*t - 5*v + 76 = 15, -t - 23 = -v. Let h(p) = -p**3 - 18*p**2 - 3*p - 21. Let w be h(t). What is the units digit of (-621)/(-33) - (-6)/w? 9 Suppose 2*k - u - 293 = -2*u, -k - 2*u = -148. Let n be 0*(((-66)/4)/11 - -1). Suppose -2*m + k = -n*m. What is the tens digit of m? 7 Suppose -3*z = -2*c - c - 29916, -3*z = 3*c - 29886. What is the thousands digit of z? 9 Let q = 8607 + -6543. What is the units digit of q? 4 What is the ten thousands digit of -21 - (-27 - 14626) - (0 + 8)/(-2)? 1 Let z(i) = 15*i. Let b(c) = c**2 + 3*c - 11. Let x be b(-5). Let a be z(x). Let j = a + 48. What is the units digit of j? 3 What is the hundreds digit of 1591440/72 - 45/(-27)? 1 Let n = 273 + -268. Suppose -2625 = -n*w - 2*r, 4*w + 2*r - 2093 = -r. What is the hundreds digit of w? 5 Suppose -47633 = -y - 4*p, -224*p = -4*y - 225*p + 190517. What is the hundreds digit of y? 6 Suppose -6286 = -20*i + 88894. What is the hundreds digit of i? 7 Let n(w) = -6 - 10 - 2*w + 26 - 5*w. Let v be n(2). What is the hundreds digit of (-626)/v + (-4)/8? 1 Let q(j) = -2*j**2 - 56*j - 7. Let p be (1*(2 + -4))/(1/13). What is the units digit of q(p)? 7 Let p(c) = -73*c + 825. What is the hundreds digit of p(-13)? 7 Suppose -12*a + 13*a - 1685 = 0. Let s = -1070 + a. What is the units digit of s? 5 Let q be (-330580)/(-25) - (-7)/(-35). Suppose 24*w - 8929 - q = 0. What is the tens digit of w? 2 Let n(d) be the second derivative of -61*d**5/5 + d**4/6 - d**2/2 + d. Suppose 17 = -11080*h + 11063*h. What is the units digit of n(h)? 5 Suppose 34*g + 0*g = -2*g + 257184. What is the thousands digit of g? 7 Let b = 11 + -9. Let j be 4/12*321*2/b. Suppose -124 = -3*y + j. What is the tens digit of y? 7 Suppose p + 4*p = 15. Suppose 2468 = p*u + 4*m, -2*u = -4*u + m + 1660. What is the tens digit of u? 2 Let q be (-6 - -9)/(6/(-56)). Suppose -4*o = s - 2*s - 72, -3*o = 2*s + 155. Let v = q - s. What is the tens digit of v? 4 Let j(b) = 5 - 115*b + 116*b + 4*b**3 - 2*b**3 - 4*b**2. Let u be j(-3). Let p = 296 + u. What is the tens digit of p? 0 Suppose -50*f + 141485 + 16315 = 0. What is the hundreds digit of f? 1 Let v(p) = 333*p - 5042. What is the tens digit of v(77)? 9 Let t(h) = h**3 + 9*h**2 + 7*h - 8. Let x = -24 - 7. Let k = x - -24. What is the units digit of t(k)? 1 Suppose h + 18 = -12. Let u be (-3 - h/8) + 9/(-12). Suppose -5*y - 4*n + 615 = n, u = y + 4*n - 108. What is the hundreds digit of y? 1 Let b = -114 - -116. Suppose 0 = b*x - 2*u - 986, 17*x - 14*x - 5*u = 1475. What is the hundreds digit of x? 4 Suppose 5*u + 3*i - 133546 = 0, -80136 = -3*u - 11*i + 8*i. What is the tens digit of u? 0 Let z = -33443 - -79270. What is the thousands digit of z? 5 Let f = -50644 - -79038. What is the units digit of f? 4 Let h = 10 - -2. Let x be (-3)/(-2)*h/(-9). What is the units digit of x/5 - (-602)/5? 0 What is the units digit of 60*(15 + (-10507)/(-3
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
be v/(-6)*(1 + 2). Solve -6*y = -2*y - o for y. 5 Suppose -2*c + 16 = -6*c. Let i be (c/(-10))/((-2)/(-10)). Solve -i*u - 5 = 3 for u. -4 Suppose -y + 0 = -1. Suppose -2*r - 5 = -y. Let w = 4 + r. Solve w*x + 4 = x for x. -4 Let y(m) = m**3 - 5*m**2 - 8*m + 2. Let g be y(6). Let b = g - -16. Solve 5*j = -21 + b for j. -3 Suppose -3*q - 3*r = -39, -1 = -2*r + 5. Let o be 16/q*(-75)/(-10). Solve 0*t - o = -4*t for t. 3 Let l = 202 - 194. Suppose 25 = 3*o + 2*o. Suppose 3*i = o + 4. Solve -i*b - b = -l for b. 2 Suppose 5*j = 2*d + 3*d + 55, d - 43 = -5*j. Solve 2*r + r + j = 0 for r. -3 Let k be ((-10)/(-8))/(3/12). Solve -k = -2*s - 1 for s. 2 Let l(v) = 3*v**2 - v - 2. Let p be l(-1). Solve 0*c + p*c = -10 for c. -5 Suppose 4*a + 45 = 5*t - a, 0 = 5*a. Let x(p) = p + 14. Let o be x(-8). Solve -3*l + t = -o*l for l. -3 Let x(c) = -17*c + 14. Let p be x(10). Let s be (-492)/p - (-4)/(-26). Solve 0 = q - s*q + 4 for q. 2 Let j(i) = -i**3 - 8*i**2 + 10*i + 9. Let g be ((-6)/3 - -4) + 0. Suppose -3*b - g*b - 45 = 0. Let a be j(b). Solve a = h + 3*h for h. 0 Let p(l) be the second derivative of l**3/6 - l**2 + 9*l. Let m be p(14). Solve -a = -5*a - m for a. -3 Let b = 10 - 7. Solve v - 4 = -b*v for v. 1 Let b = 0 + 5. Suppose -4*a + 114 = -26. Let q = a + -31. Solve 3*y + b = -q for y. -3 Suppose 0 = -n + 2*d + 10, -2*d + 5*d - 6 = -2*n. Suppose n = f - 0*f. Solve -i = -f*i for i. 0 Let p(s) = 2*s - 3. Let k be p(3). Let j = k + 12. Suppose 0 = i + 2*i - j. Solve -i*w - 12 = -w for w. -3 Let w(u) = u**2 - 3*u. Let c be w(4). Solve 4*t - 4 = c for t. 2 Let k be 5/((-20)/(-12)) - 13. Let y = -6 - k. Solve y*h = -h for h. 0 Suppose 0*r = 5*r - 20. Let c = r + -6. Let w = -1 - c. Solve 1 + w = -n for n. -2 Suppose -4 = -4*r + 4. Solve 12 - 2 = r*u for u. 5 Let s be -2*(0 + -6 + 1). Suppose h = 3*h, -2*f + s = 5*h. Let u = f - -1. Solve -m = -1 + u for m. -5 Let k(r) = -r**3 + 10*r**2 - 7*r + 12. Let d be k(9). Let z be (-12)/(-2)*(-2 + 3). Suppose -o - d = -z*o. Solve -2*a - a = -o for a. 2 Suppose -c - 3 = -5. Solve 4*a + c = -10 for a. -3 Let q(b) = -b + 9. Let g be q(7). Suppose -2 = -g*w - 48. Let j = -5 - w. Solve 4*a = 6 - j for a. -3 Suppose -2*o - 9 = -1, -4*o = -2*b + 22. Solve -2*g - 25 = b*g for g. -5 Let f(i) = i + 13. Let h(z) = z + 13. Let o(v) = 3*f(v) - 2*h(v). Let m be o(-10). Let j be (1 - -2)*(-4)/(-6). Solve -j = m*w + 7 for w. -3 Let x = -6 - -8. Suppose x*c = -k - 1, -5*c - 15 = 4*k + k. Solve -c*f - 11 = -5 for f. -3 Suppose -1 = -5*c + 24. Suppose 0 = c*o + 2*p - 4, -2*o + 3*p - 2 = 5*p. Solve -o*r = -5*r + 15 for r. 5 Suppose 0 = -5*d - 2*h + 61, 3*d + 5*h + 0*h = 29. Suppose -9 = -3*f, 1 = -5*w + 3*f - d. Let l be ((-9)/6 - w)*-50. Solve -2*q - 3*q = -l for q. 5 Let d = -11 + 26. Suppose 9 + d = 4*t. Solve -t = b - 4*b for b. 2 Suppose 0 + 1 = m. Let x = m - -1. Let k be 0/(x*(1 - 2)). Solve 2*a + 8 - 4 = k for a. -2 Suppose -5*i = -20, 9 = -2*d + 4*i - 3. Let u be 6/4 - (-1)/d. Solve -g - u*g = 0 for g. 0 Let z(j) = -11*j**2 + 11*j + 13. Let i(o) = 5*o**2 - 5*o - 6. Let r(g) = -13*i(g) - 6*z(g). Let x = 0 + 0. Let m be r(x). Solve -5*f = -m*f for f. 0 Suppose -h - 38 = -13. Let z = 45 + h. Let t = 14 - 8. Solve -z = t*u - u for u. -4 Let w(g) = -15*g**2 - g - 1. Let d be w(-1). Let o be 6/15 - 174/d. Solve 3*i + o = -i for i. -3 Let o be (0 + -7)/((-2)/6). Suppose 1 = -4*g + o. Solve -14 = g*m + 1 for m. -3 Let w(a) = -a**3 - 4*a**2 + a + 2. Let v be w(-4). Let r = 5 + v. Solve -2*s = r*s for s. 0 Suppose -22 + 2 = -4*v. Let f(h) = -7*h**3 + v - 5*h**2 + 8*h**3 + 11*h**2 + 6*h. Let c be f(-5). Solve c = y + y for y. 0 Let k = -127 + 129. Solve -3*s - 3 = -k*s for s. -3 Let d(g) be the second derivative of g**3/6 - 4*g**2 - g. Let l be d(-7). Let s be (-17)/(-5) + (-9)/l. Solve -s*y - 15 = y for y. -3 Let a be (-10)/((15/(-6))/5). Suppose o + 3*o = a. Suppose 4*c = o*n - 13, -3*n + 21 + 6 = 4*c. Solve -9 = -6*f + c*f for f. 3 Let q(n) = n**2 + 6*n + 1. Suppose -4*g = -0*g + 24. Let a be q(g). Solve 0 = 2*h + a + 1 for h. -1 Suppose 0 = k - 3 - 1. Let v be 32/k - -2*1. Let y(t) = -t**3 + 5*t**2 - 3*t - 4. Let q be y(4). Solve 2*l = -q*l - v for l. -5 Let g(n) = 2*n**2 + 4*n - 3. Let b be g(2). Suppose 0*k = k - 2. Solve b = k*w + 3 for w. 5 Let h(u) = -u**3 - 6*u**2 + 7*u + 9. Let w be h(-7). Let c(o) = -o**2 + 9*o + 1. Let n be c(w). Solve -2*m = -m + n for m. -1 Suppose m + a - 2 = 0, a + 36 = 3*m - 2*a. Solve -m = 3*b - 1 for b. -2 Suppose 4*x = -3*q + q + 8, q = -x + 1. Solve 3 = x*l - 6 for l. 3 Suppose 8*n - 14*n + 6 = 0. Solve i = -n - 0 for i. -1 Let f(q) = q**3 + 6*q**2 - q - 2. Let v be ((-4)/2)/((-3)/15). Let c = 4 - v. Let u be f(c). Solve -2*o + 4*o = u for o. 2 Let p = 0 - -5. Solve -4*s + p = 1 for s. 1 Suppose -3*b - 4*k = 0, 6*b = 3*b + 3*k. Solve b*n + 3*n = 0 for n. 0 Let z(b) = b. Let f be z(9). Suppose 0 = -2*o - w + 6, -w = -3*o - 3*w + f. Suppose -4*j - 2*g = 1 - 11, 5*g + 3 = -o*j. Solve -2*q - j = -q for q. -4 Suppose o + 4 = 24. Suppose -3*u - k = -6*u + 70, 3*k - o = -u. Solve -5*p = -2 - u for p. 5 Let j = -15 + 21. Let b(v) = -v**3 + 7*v**2 - 5*v - 3. Let f be b(j). Let i(n) = 2*n**2. Let a be i(-1). Solve a*x + x + f = 0 for x. -1 Let t = 38 + -33. Solve 0 = j - t*j for j. 0 Suppose p - 3 = -0*p. Solve -3*o = p - 9 for o. 2 Suppose 0 = -4*a - 2*n - 2, 5*a = -0*n - 5*n - 5. Let r(b) be the first derivative of 3*b**2/2 - 4*b + 1. Let s be r(3). Solve a = -s*p + p - 16 for p. -4 Let j be (-1)/(-2)*(-2 - -16). Suppose -j*w + 4*w = 0. Solve -z + 7 - 2 = w for z. 5 Suppose -r + 2*c + 1 = -4, -2*r = -5*c - 5. Solve p - r = 6*p for p. -3 Let x = 4 - -8. Let v = x - 12. Solve -c - c = v for c. 0 Let m be 30/(-4)*32/(-40). Solve 4 = -5*d - m for d. -2 Let b be ((-15)/(-10))/(3/(-4)). Let p(k) = -k**3 - 2*k**2 - k + 1. Let c be p(b). Solve c*s - 5 = 1 for s. 2 Let j(d) = -d + 2. Let a be j(-9). Let s be (0/1)/(2/(-1)). Suppose 3*f - 5 - 10 = s. Solve 0 = -f*o - 4 - a for o. -3 Suppose -6*i + 26 + 4 = 0. Solve 0 = -i*s + 7 - 27 for s. -4 Suppose 5*s - 3 = -4*w, -1 = -2*w + 5*s + 8. Suppose -3*m - 3 = -3*o, -2*o - w*m = 9 - 31. Solve 5*j - o + 1 = 0 for j. 1 Suppose 4*u - 5 = -3*j + 1, 0 = -3*j - u - 3. Let b be j/(-4) - 9/(-2). Solve 0 = d - 6*d - b for d. -1 Let l(b) = -b. Let m be 0 + 2/2 + 0. Let c = m - 4. Let y be l(c). Solve -y = -5*n - 28 for n. -5 Let c be 4/(-3*8/(-18)). Solve -12 = -5*q + c for q. 3 Let r(s) = s**2 + s - 4. Let w be r(-4). Let o(k) = k**2 - 7*k - 3. Let q be o(w). Solve -q*n - 12 = -n for n. -3 Suppose 2*j = 5*y - 2 + 26, -j - 3*y = 10. Suppose -z - 2 = s - 0*s, 3*z = -j*s - 8. Solve 2 = s*x + 4 for x. -1 Let a = -29 + 41. Suppose -3*z + a = -i, 3*z = 4*i + 21 - 0. Let m(v) = -v**3 + 5*v**2 - 5*v + 2. Let k be m(z). Solve k*u + 16 + 4 = 0 for u. -4 Suppose 2*w + 0*a + a - 14 = 0, -a - 42 = -5*w. Let y be 1*(w + -1 + -2). Solve -2*f - 3*f = y for f. -1 Suppose -c = 5*h - 33, 84 = 5*c - 2*h - 0*h. Let d be (-1)/((0 + 1)/(-4)). Suppose -2*n + 3*y = 2*n - 14, -y = -5*n + 12. Solve d*r = c + n for r. 5 Let h be (12/(-24))/((-2)/8). Solve 2 = 4*t - h for t. 1 Let u = 3 + -9. Let x = -14 - u. Let i be x/(-6) + 16/24. Solve 2 = i*h - 2 for h. 2 Let k be (-40)/(-6)*(-12)/(-10). Solve -3*c - 5 = -k*c for c. 1 Let m(f) = -f - 1. Let h be m(-2). Let a be 22/8 + (-4)/(-16). Let x be h/a - (-2)/3. Solve x = -2*p + 3 for p. 1 Let w be 6/1 + (-25 - -11) + 12. Suppose -3*o = -0*o. Let f = o + 0. Solve w*n + f*n = 4 for n. 1 Let x(o) = 6*o + 40. Let q be x(-6). Let d(l) = -2*l + 2. Let v be d(-4). Suppose 0*k + v = 2*k. Solve -q - k = 3*c for c. -3 Let w = 1 - -5. Suppose 0*k = 3*k + w. Let l be (k - -2)/(2/2). Solve l*p - 1 = -p for p. 1 Let b be 0 + (6/(-3) - -2). Suppose -10 = -5*t - 5*l, b*t = 3*t - 5*l - 22. Solve h - t*h + 3 = 0 for h. 1 Let y = -136 + 138. Let n(t) = t - 6. Let q be n(5). Let c = 4 + q. Solve 0 = y*z - c*z for z. 0 Let b be 0/6 + 26/2. Suppose 0 = -m + 5*k + 25, -5*k = -5*m + b + 12. Let q(j) = j**2 + 2*j - 4. Let v be q(-4). Solve v*h + m = 16 for h. 4 Let p(b) = -b**3 + 2*b**2 - 1. Let q be p(2). Let o = q + 3. Solve -4*k + o*k = 4 for k. -2 Let c be 20/(-6)*(-1 + 4). Let r be (-1)/(-2) - 25/c. Let l(p) = 2*p + 1. Let k be l(r). Solve -2*o = -1 + k for o. -3 Let v = -40 +
{ "pile_set_name": "DM Mathematics" }
y, c, -1/4? -1/4 Let g = -0.1 + 0. Let z = -16 + 7. Let n = 6 + z. Which is the nearest to -2/9? (a) g (b) n (c) 3 a Let m be 321*(-3)/(-243) - 4. Let o = m + 29/54. Let c = -1.1 - -1. What is the nearest to 0.1 in c, 5, o? c Let i = 8 - 6.8. Let v = i - 6.2. Which is the closest to -1/3? (a) -0.3 (b) v (c) -3/5 a Let k = 6.5 + -6. Which is the nearest to -0.1? (a) k (b) 1 (c) 3 a Suppose -g = m - 7, -2*m - 3 = -13. Let h = -0.12 + -4.88. Let b = -63 + 191/3. What is the closest to g in -0.3, h, b? b Suppose 2*y = -4*o - 18, -2*y = 2*y - o. Let d be ((-8)/(-8))/(y/1). What is the nearest to d in 1/14, -2, -3/2? -3/2 Let x = -14.3 + 1.3. Let d = x + 9. Let c be (-6)/72*(-36)/8. What is the nearest to 0 in -3/4, c, d? c Let o = -26 + 23. Let p be (1/4)/(3/4). Which is the closest to 1? (a) o (b) p (c) 0.1 b Let s = 0 + 4. Suppose -2*l + 23 = 3. Suppose -5*i = -0 + l. What is the closest to -0.1 in i, -1, s? -1 Let j be (2/(-6))/((-3)/(-12)*2). Which is the nearest to 0? (a) j (b) -5 (c) -0.5 c Let s = -1.99 - -2. Let m = 0.11 - s. What is the closest to m in -1/8, 2, 4? -1/8 Let l be (-1)/(-28) + 1/4. Let j be (-3 - -4) + (-7)/6. What is the closest to -2/3 in j, -4, l? j Let v(h) = h**2 + 6*h + 1. Let l be v(-5). Let m = -0.8 - 0.2. Which is the closest to -0.1? (a) 0 (b) l (c) m a Let g be -3 + (-3 - -4) - (-48)/22. Which is the closest to -2/9? (a) -1/3 (b) -3 (c) g a Let y = 3 - 3.4. Let i = 0.75 + -0.85. What is the closest to i in y, 0, -2? 0 Let m = -931 - -836.3. Let q = m - -91. Let y = q + 4. Which is the closest to -1? (a) y (b) 2/7 (c) 0.5 b Let i = 1/125 - -343/4000. Let h = i + 45/32. What is the closest to 1 in 2/3, -0.3, h? 2/3 Let i = -1 + 2. Let d be (-4)/(-69)*(-18)/(-20). Let u = d - -164/1265. What is the nearest to 0 in i, u, -3? u Let r = -1.86 + -0.14. Let c = -2.6 + 3. Let q = 0.1 + 0.2. What is the nearest to 0 in q, r, c? q Let l = 374/5 + -75. Which is the nearest to 1/3? (a) l (b) 1 (c) -0.5 a Let w = 3 + 1. Let n = 4 - w. Which is the closest to 1/2? (a) -2/13 (b) n (c) -1 b Let k = 9 + -9. Which is the closest to -2/7? (a) -1/7 (b) -4 (c) k a Let j = 38 + -36. Which is the closest to 2? (a) -2 (b) j (c) 5 b Let f be (4/(-5))/(4/20). Let k = f + 6. Let s(d) = -4*d - 1. Let o be s(1). Which is the nearest to 0.1? (a) k (b) o (c) 2/11 c Let f be ((-2)/4)/(3/2). Let r = 0.9 + 4.1. Which is the closest to 0.2? (a) r (b) 0.2 (c) f b Let u = 0.07 - 5.07. Let t = u - -2. Let c = 2.9 + t. What is the nearest to c in 2/3, -4, -0.5? -0.5 Let v = 100 + -96. Which is the nearest to v? (a) 1 (b) -0.1 (c) 0.1 a Let d = 3 + -1. Let s be 1/d*(0 - 0). Let o be 10/(-14) - 2/7. What is the nearest to s in o, 2, -0.1? -0.1 Suppose -2*i = 5*q + 18 - 7, -5*i = -10. Which is the nearest to q? (a) 2 (b) -2/7 (c) -3/5 c Let f be (-1)/2*(-2)/(-4). What is the nearest to -1 in 0.2, 1/3, f? f Let u(b) = b + 8. Let r be u(-7). Let d be r/(-1 - (-2)/4). What is the closest to d in -1/2, -4, 3? -1/2 Suppose 4*k = -0*k + 8. Let z be 1/3*(k - -1). Let j = -0.7 - -1.7. Which is the nearest to j? (a) -2 (b) z (c) -5 b Let s = -5.6 + 0.6. Let v(r) = r + 9. Let h be v(-8). Suppose w - 2*w - 4 = 0. What is the nearest to h in w, 0.3, s? 0.3 Let w be 8/(-12)*(-1 + 3). Which is the closest to -1? (a) 1 (b) w (c) -1 c Let r = -0.433 + 0.033. Which is the closest to 0.4? (a) -2 (b) -4 (c) r c Let u = -8 + 10. Let z = -1/3 - 0. Which is the closest to z? (a) u (b) -3 (c) -2/5 c Let w = -1/3 - 1/15. Let p be (0 + 6/(-189))*3. What is the nearest to w in 2, 3, p? p Let h = 0 - 0.1. Let a = h + 0.2. Let b be (2 - 12/7) + 0. What is the nearest to a in 0.2, b, -0.2? 0.2 Let d be ((-8)/6)/((-3)/(-9)). Let k be (1/(-8))/((-3)/d). Which is the nearest to 1/3? (a) 1/5 (b) -0.2 (c) k a Let s = 15 + -12. Let g be 2/(-1) - 20 - 2. Let z be 4/14 - g/63. What is the closest to z in s, -1/3, 0.5? 0.5 Let g = -0.8 + -0.2. Let j = 4 + -7. What is the closest to g in j, 2, -2? -2 Let d = -0.5 + -0.15. Let l = d + 0.8. Let w = l - 0.05. What is the closest to 0 in -0.5, 3, w? w Let a = 2.875 + 0.125. What is the nearest to a in -0.4, 1/4, -1/8? 1/4 Let a(u) = 141*u**2 + 2*u + 1. Let q be a(-1). Let i be -1 + q/34 + -3. What is the nearest to 1/5 in 2, -4, i? i Let k be 102/27 + 0 - 4. Let q = 0.1 - -0.1. Which is the nearest to -0.1? (a) k (b) 2 (c) q a Let v = 1.4 + -1. Let b = -18 + 20.8. Let a = b - 3. What is the closest to a in v, -3, -4? v Let g = -2 + 2.2. Let k(j) = -j + 14. Let l be k(15). Which is the nearest to l? (a) g (b) -2 (c) -0.2 c Let k = -0.3 + 0.2. Let h = -0.3 - -0.3. Which is the nearest to k? (a) h (b) 5 (c) -3/5 a Let i(j) = -j**2 + 10*j + 7. Let h be i(6). Suppose h - 11 = 5*k. Which is the nearest to -0.1? (a) 0.4 (b) -3 (c) k a Let o = -668/3553 + 2/323. Let p be (-3)/12 - (-2)/(-8). What is the closest to 1 in o, p, -0.3? o Let z(n) = -n + 2. Let b be z(7). What is the closest to -0.1 in 2/7, 6, b? 2/7 Let w = 290/153 - 36/17. Which is the closest to -1? (a) 0.3 (b) w (c) -4 b Let o = -0.1 + 0.2. Let n = 0.01 + -0.51. Let p = 0.06 - -0.94. What is the closest to o in p, n, -1? n Let q be 3/(-5)*(-1)/(-3). Let a = 6 + -1. What is the nearest to q in 1/3, 0, a? 0 Let l = -0.44 - 8.56. What is the closest to 0.2 in -3, -2, l? -2 Let p = -6.87 - 0.13. Let s = p - -2. Which is the nearest to 2? (a) 2 (b) s (c) 1 a Let o = -2 + 2. Let w = -147 + 148.79. Let f = 0.21 + w. Which is the closest to -3? (a) o (b) 3/5 (c) f a Let r = 15 + -13. Let v = 14/135 - -8/27. What is the closest to v in -8/3, r, -0.3? -0.3 Let r = 56/19 + -506/133. Which is the nearest to 3? (a) 1/3 (b) -2/5 (c) r a Let z = -0.1 + 0.3. Let i(d) = -15*d + 19. Let o(w) = -7*w + 9. Let t(x) = -6*i(x) + 13*o(x). Let j be t(7). Which is the closest to z? (a) 4 (b) j (c) 1 c Let g = 0.035 + 4.965. Let b be (6 + -3)/(3/2). What is the nearest to 0 in b, -4, g? b Let q(f) = f**2 - 7*f + 10. Let k be q(4). Which is the nearest to k? (a) 1/4 (b) 0.4 (c) 2/3 a Let w = -12.7 + 14. Let m = w - 1.4. What is the closest to -0.1 in -15, -1, m? m Let j be 3*(-10)/(-21) - 2. What is the closest to 1 in 2/5, 1, j? 1 Let g(v) = 3*v - 3. Let z be g(2). Let y = -35/6 + 6. Which is the nearest to 1? (a) y (b) 2/13 (c) z a Suppose 2*f = -2*f - 4. What is the closest to f in 0, 2/7, 1/6? 0 Let u = -88 - -83. Which is the nearest to 0.2? (a) -3 (b) u (c) 0 c Let p = -2 - -3. Let b = p - 1.1. Let k = 1 - 1. What is the closest to k in b, 0.3, -4? b Let y = 8 + -6. Suppose 4*t + y*u + 15 = 5*u, u = -4*t + 5. Let j = -1/2 - -1/14. Which is the nearest to 1/2? (a) t (b) -3 (c) j a Let f be ((-3)/11)/(6/4). Let r = -1 - -1. Let v be (-1 - (-14)/10) + r. What is the nearest to v in 0, f, 3? 0 Let d be ((-120)/(-28) - 4) + 0. Suppose -r + c = -7, -5*c = -2*r - 2*r + 32. Let f be (-21)/(-14)*(-8)/r. What is the nearest to -1 in -1/2, d, f? -1/2 Let i = -3 - 2. Let y be (4 - 4)/(4/(-2)). Let s be 2/(-8) - 22/(-56). What is the nearest to y in -0.5, s, i? s Let q = -1.8 - 0.2. Let o = 2.2 + -1.2. What is the nearest to o in 3, q, -3? 3 Let f = -1/7 - -37/63. Let m = 1.2 + -0.2. Let g(h) = -h**3 + 5*h**2 + 6*h. Let t be g(6). Which is the closest to m? (a) t (b) -5 (c) f c Let y = -1.54 - 0.06. Let p = -1.3 - y. Let s = 52/3 + -18. Which is the nearest to s? (a) 4 (b) -2/19 (c) p b Let y = -0.13 + 0.23. Let w = 1 - 1. What is the closest to y in -5, w, -1? w Suppose -3*r = -4*r. Let g = -31 - -30.6. Which is the nearest to -1/3? (a) r (b) 2 (c) g c Let u = -6 - -13. Let n = -12 + u. Let o = n + 5.1. What is the nearest to o in 2, -2/7, 4? -2/7 Let x = 0.47 + -0.47. Let r = 5 + -8. Which is the nearest to 1/5? (a) 0.5 (b) r (c) x c Let p be 1/(-7)*2/1. Suppose -4*n + 3*n + 4*f + 16 = 0, 20 = -5*n - 5*f. Which is the nearest to 4? (a) -4 (b) n (c) p b Let k = 311/2 - 158. Which is the nearest to -5? (a) 1/2 (b) k (c) 1 b Let m = 1.1 + -0.8. Which is the closest to 1? (a) m (b) -12 (c) -2/5 a Let d = 18 + -20. Which is the nearest to -0.06? (a) d (b) 0.2 (c) 2/9 b Let p = -9/14 - -17/70. Let o = -0.96 + 0.96. Let l = 86/3 + -29. Which is the closest to 2/3? (a) p (b) o (c) l b Let z = -408 +
{ "pile_set_name": "DM Mathematics" }
**2 - 223*m + 673. Give f(4). 1029 Let n(v) = 46*v**3 - 6*v**2 + 407*v - 802. Calculate n(2). 356 Let i(x) = -3013*x - 21773. Give i(-7). -682 Let r(d) = 18*d + 839. What is r(-43)? 65 Let l(g) = 14155*g - 2547970. What is l(180)? -70 Let x(f) = 68*f**2 - 1782*f + 14. Give x(28). 3430 Let s(v) = -324*v - 69984. Determine s(-216). 0 Let h(v) = 138*v - 13150. Determine h(95). -40 Let y(o) = o**3 - 30*o**2 + 15264*o - 490490. Determine y(32). 6 Let z(y) = 209*y - 10545. Determine z(41). -1976 Let z(d) = 3*d**2 - 2300*d - 178403. Give z(-71). 20 Let u(p) = -17426*p - 17404. What is u(-1)? 22 Let f(m) = 3523*m + 4004. What is f(-1)? 481 Let j(b) = b**2 + 54663*b - 437369. Determine j(8). -1 Let l(m) = -9*m**3 - 555*m**2 + 202*m - 138. Determine l(-62). -1130 Let j(q) = -4*q**3 + 270*q**2 + 417*q - 144. Give j(69). 63 Let v(n) = 110*n + 5998. Determine v(-58). -382 Let n(g) = 4*g**3 + 41*g**2 + 52*g + 318. Calculate n(-9). 255 Let l(i) = 6*i**2 - 3452*i - 77597. Determine l(597). 13 Let r(v) = 3053*v + 2512632. Determine r(-823). 13 Let w(j) = 15347*j - 721307. Determine w(47). 2 Let s(u) = -2*u**3 + 94*u**2 - 82*u - 124. What is s(46)? 336 Let x(i) = -3*i**3 - 1978*i**2 + 3313*i + 5315. Give x(-661). 27 Let p(f) = 8*f**3 + 1952*f**2 + 10*f + 2968. Calculate p(-244). 528 Let i(t) = -3286*t + 69145. What is i(21)? 139 Let i(p) = -1231204*p - 3693624. Calculate i(-3). -12 Let t(v) = 14*v**2 - 1013*v + 688. Give t(72). 328 Let t(f) = 220*f**2 - 26843*f - 16. What is t(122)? -382 Let x(k) = -604*k - 29681. Determine x(-49). -85 Let g(z) = -z**3 + 17*z**2 + 12797*z + 1595. Determine g(122). 9 Let n(t) = 7*t**2 - 461*t + 5541. What is n(51)? 237 Let g(c) = 75*c**2 - 48*c + 105. Determine g(2). 309 Let a(u) = u**3 + 197*u**2 - 719*u - 141639. Give a(-197). 4 Let q(a) = 80618*a + 5482033. Determine q(-68). 9 Let x(y) = 320*y**2 + 5761*y + 16. Give x(-18). -2 Let r(d) = -25936*d + 389044. Calculate r(15). 4 Let z(l) = -78222*l - 14471068. Calculate z(-185). 2 Let t(m) = -72*m**2 - 434*m - 660. What is t(-3)? -6 Let i(t) = -45*t + 1488. Give i(35). -87 Let f(b) = -13*b**3 + 384*b**2 - 1480*b + 47. Give f(25). -78 Let v(t) = 8845*t + 627995. Determine v(-71). 0 Let m(s) = -52*s + 5804. Determine m(111). 32 Let a(j) = 7*j**3 + 111*j**2 + 320*j + 21. Determine a(-4). 69 Let k(i) = -i**3 + 138*i**2 - 4744*i + 432. What is k(69)? 1605 Let f(q) = -q**3 + 20*q**2 - 21*q + 1313. Calculate f(22). -117 Let p(z) = 2*z**2 - 1097*z - 189478. What is p(-138)? -4 Let q(w) = 3704*w + 207501. Give q(-56). 77 Let x(m) = -582*m + 29016. Determine x(50). -84 Let a(s) = 282*s**3 - 25377*s**2 - 270*s + 23. Give a(90). 23 Let c(m) = -2*m**3 + 1916*m**2 + 134*m - 128364. Determine c(958). 8 Let p(k) = 874*k + 18389. Give p(-21). 35 Let y(z) = -79*z**2 - 702*z - 20. Determine y(-7). 1023 Let g(p) = -27*p**3 - 2*p**2 - 4*p - 24. Determine g(-4). 1688 Let w(u) = 180665*u + 542068. Determine w(-3). 73 Let m(u) = -2*u**3 - 61*u**2 + 417*u - 121. What is m(6)? -247 Let q(r) = 39*r**2 + 2070*r + 70. What is q(-53)? -89 Let n(s) = -118*s**3 - 358*s**2 + 155*s + 506. Determine n(-3). 5 Let u(f) = 242585*f + 1212925. Calculate u(-5). 0 Let c(u) = 56*u**2 - 1014*u - 20. Determine c(18). -128 Let i(h) = 4*h**2 - 433*h - 7367. Calculate i(-15). 28 Let n(z) = -116*z - 5674. What is n(-50)? 126 Let q(s) = 87*s + 337. Calculate q(-2). 163 Let i(n) = 155*n**2 + 4485*n - 38988. Calculate i(7). 2 Let k(h) = 2829117*h - 8487351. Give k(3). 0 Let a(l) = -6560*l + 78693. Give a(12). -27 Let u(a) = 2*a**3 + 208*a**2 + 5113*a - 470. Determine u(-64). -22 Let a(u) = -32*u**2 + 3010*u - 297. Calculate a(94). -109 Let m(x) = x**3 - 16*x**2 - 54*x + 741. Calculate m(14). -407 Let o(m) = 1993*m - 3421. Give o(2). 565 Let y(l) = 1067*l + 2860. Give y(-4). -1408 Let y(g) = 15*g**2 + 570*g + 134. Determine y(-41). 1979 Let f(b) = -4*b**2 - 8539*b + 653820. Calculate f(74). 30 Let z(g) = g**2 - 4*g - 137. Determine z(-9). -20 Let d(t) = 45032*t + 180073. What is d(-4)? -55 Let f(v) = v**3 + 1375*v**2 + 13647*v - 50. Give f(-10). -20 Let y(x) = x**2 - 35*x + 913. Determine y(-9). 1309 Let y(f) = -4361*f + 39342. What is y(9)? 93 Let m(v) = -2*v**3 + 5*v**2 - 571*v - 2306. Give m(-4). 186 Let k(j) = -3*j**2 + 217*j + 9561. What is k(100)? 1261 Let p(f) = 2*f**3 - 47*f**2 + 219*f - 402. What is p(18)? -24 Let b(o) = 79809*o + 957690. Calculate b(-12). -18 Let f(t) = 14224*t + 71125. Calculate f(-5). 5 Let q(m) = 38*m**2 + 1795*m + 5351. Determine q(-3). 308 Let t(q) = 408*q - 35885. Calculate t(88). 19 Let r(z) = 45*z**3 + 446*z**2 - 28*z + 19. Give r(-10). -101 Let y(l) = -80*l + 567. Calculate y(10). -233 Let d(g) = 59*g**2 + 4896*g - 257. Give d(-83). -174 Let y(i) = -154*i - 10743. What is y(-58)? -1811 Let b(d) = -7*d**3 - 168*d**2 - 44*d + 302. Calculate b(-24). 1358 Let r(g) = -4*g**3 - 35*g**2 + 185*g + 1532. What is r(-10)? 182 Let y(p) = 51*p + 6788. Calculate y(-141). -403 Let s(t) = -12*t**3 + 81*t**2 - 457*t + 905. Give s(2). 219 Let n(g) = 2*g**2 + 48*g - 9. Give n(-4). -169 Let z(j) = -37*j**2 + 2888*j + 163. Determine z(78). 319 Let i(b) = 285*b**2 - 3355*b + 63. Calculate i(11). -2357 Let n(w) = -3*w**2 - 4145*w - 16579. Calculate n(-4). -47 Let m(r) = -r**3 - 212*r**2 - 5902*r + 921. Determine m(-179). 26 Let y(j) = 21*j**2 - 1983*j + 46314. Calculate y(42). 72 Let y(v) = -v**3 - 14*v**2 + 1240*v - 32. Calculate y(29). -235 Let v(o) = 6*o**3 + 177*o**2 - 151*o - 1830. What is v(-30)? 0 Let d(p) = -2*p**2 + 125*p + 259. Give d(67). -344 Let g(l) = -19501*l - 1092021. Calculate g(-56). 35 Let p(k) = 24*k**3 + 718*k**2 - 43*k + 499. Calculate p(-30). -11 Let t(v) = -721*v**2 - 21*v + 4. Give t(1). -738 Let p(w) = -2*w**2 - 292*w - 763. Determine p(-144). -187 Let a(l) = -11594*l + 34889. Determine a(3). 107 Let s(u) = -74*u**2 - 279*u + 278. Determine s(-4). 210 Let h(f) = 67504*f - 2497643. What is h(37)? 5 Let j(m) = -454*m - 24030. Determine j(-53). 32 Let d(t) = 6721*t + 26842. What is d(-4)? -42 Let m(h) = h**3 - h**2 - 274*h + 85. Give m(17). 51 Let t(j) = 1460*j - 272946. Determine t(187). 74 Let k(u) = -36472*u + 1604774. Give k(44). 6 Let v(w) = 75*w**3 - 6694*w**2 + 1677*w + 1222. What is v(89)? -24 Let k(y) = -y**3 - 13*y**2 - 26*y + 282. Give k(8). -1270 Let f(z) = 12249*z + 73477. Calculate f(-6). -17 Let v(a) = 102718*a - 44887767. Give v(437). -1 Let r(m) = 5522*m - 215421. What is r(39)? -63 Let d(w) = -96*w**3 + 13*w**2 + 58*w + 102. What is d(-2)? 806 Let v(l) = -l**2 - 326*l + 173246. Calculate v(284). 6 Let m(o) = -1450*o + 8648. Give m(6). -52 Let b(m) = -m**3 - 139*m**2 + 4297*m + 1149. Determine b(-165). -6 Let s(d) = -d**2 + 169*d + 157. Give s(2). 491 Let t(x) = 168809*x - 1688085. Give t(10). 5 Let a(u) = 9*u**2 + 3447*u + 30665. Determine a(-9). 371 Let i(f) = -65598*f + 262463. Determine i(4). 71 Let k(z) = 6*z**2 - 3701*z + 1. What is k(0)? 1 Let z(b) = 146*b**2 - 1008*b + 859. Determine z(6). 67 Let a(g) = -g**2 - 9188*g + 184191. Give a(20). 31 Let a(t) = -t**2 - 271*t - 12058. What is a(-56)? -18 Let y(v) = -362*v - 9692. Give y(-26). -280 Let x(i) = i**3 - 28*i**2 - 367*i - 2168. Give x(39). 250 Let l(p) = 1350*p**2 - 6992*p - 1. Calculate l(5). -1211 Let d(r) = 32378*r - 1489393. Calculate d(46). -5 Let f(b) = -b**3 + 846*b**2 + 3476*b - 64584. Determine f(850). 16 Let t(v) = v**3 + 32*v**2 + 25*v - 179. What is t(-31)? 7 Let d(q) = 5*q**2 - 3164*q - 181745. Give d(-53). -8 Let p(j) = 754080*j - 33933603. Give p(45). -3 Let g(w) = 5*w**3 + 42*w**2 + 682*w + 5318. Give g(-8). -10 Let u(j) = 255157*j - 1530947. Determine u(6). -5 Let k(o) = -o**3 - 469*o**2 + 1050*o + 50859. Calculate k(-471). -9 Let x(q) = -1161*q + 11455. Determine x(11). -1316 Let v(i) = -609*i**2 + 626*i - 1239. What is v(2)? -2423 Let p(r) = -r**3 + 136*r**2 - 1009*r - 284. Determine p(128). 1636 Let i(x) = 721*x - 12968. Calculate i(18). 10 Let v(o) = -o**3 - 105*o**2 + 78*o - 2847. What is v(-106)? 121 Let w(u) = -2*u**3 + 89*u**2 - 5*u + 1402. Calculate w(45). -848 Let x(y) = 84203*y**2 + 252611*y + 1. Give x(-3). -5 Let c(i) = -9221*i - 129104. Determine c(-14). -10 Let g(k) = -8*k**2 + 96*k + 1100. Determine g(0). 1100 Let a(k) = 601*k - 100478. Determine a(167). -111 Let t(g) = 6*g**2 + 29
{ "pile_set_name": "DM Mathematics" }
en two letters picked without replacement from unuuiqkikuyiu. 5/39 Three letters picked without replacement from {d: 2, v: 2, r: 1, a: 1}. What is prob of sequence rdd? 1/60 Calculate prob of sequence xcwx when four letters picked without replacement from {u: 1, w: 1, x: 6, c: 1}. 5/504 Three letters picked without replacement from {h: 7, v: 4, q: 1, r: 2, g: 2}. What is prob of sequence vrq? 1/420 Three letters picked without replacement from cccttcp. Give prob of sequence tpt. 1/105 Two letters picked without replacement from {k: 1, f: 1, y: 4, o: 2, m: 7}. What is prob of sequence fm? 1/30 Four letters picked without replacement from {c: 1, q: 2, t: 1, m: 2, r: 1}. Give prob of sequence rcmq. 1/210 Two letters picked without replacement from dtddtt. Give prob of sequence tt. 1/5 Three letters picked without replacement from {m: 4, v: 15}. Give prob of sequence mvm. 10/323 Three letters picked without replacement from {a: 11, h: 4, v: 3}. Give prob of sequence vha. 11/408 Two letters picked without replacement from wshwihwhwxh. What is prob of sequence xh? 2/55 Four letters picked without replacement from ttttt. What is prob of sequence tttt? 1 Four letters picked without replacement from nxinjqrjnnxnnnnnxin. Give prob of sequence jxnn. 15/2584 Three letters picked without replacement from {x: 6, p: 1, o: 7, y: 2, k: 4}. Give prob of sequence pyk. 1/855 Three letters picked without replacement from iiiiiiiiii. Give prob of sequence iii. 1 Calculate prob of sequence rrmr when four letters picked without replacement from {r: 3, m: 5, f: 3}. 1/264 Three letters picked without replacement from zamgamizza. Give prob of sequence giz. 1/240 Two letters picked without replacement from {u: 6, x: 1, r: 3, s: 2, o: 6}. Give prob of sequence ru. 1/17 Four letters picked without replacement from lhhhlhhqhhohllh. What is prob of sequence lolh? 3/910 Four letters picked without replacement from {y: 1, e: 1, a: 6, t: 6, s: 4}. Give prob of sequence yett. 1/2448 What is prob of sequence ts when two letters picked without replacement from sstw? 1/6 Two letters picked without replacement from {r: 1, e: 5, s: 1, p: 5}. Give prob of sequence pr. 5/132 Two letters picked without replacement from {z: 6, y: 3, o: 2, s: 1, d: 1}. Give prob of sequence zy. 3/26 Three letters picked without replacement from {m: 6, i: 2}. What is prob of sequence mmi? 5/28 What is prob of sequence jo when two letters picked without replacement from ddjojobdojjodxljjbx? 4/57 What is prob of sequence tntc when four letters picked without replacement from ccccntctnncctctc? 27/3640 Three letters picked without replacement from msswsssqpypww. Give prob of sequence wps. 5/286 Four letters picked without replacement from {h: 5, y: 1, v: 3}. What is prob of sequence vhhy? 5/252 Three letters picked without replacement from mmwwz. Give prob of sequence zmm. 1/30 Four letters picked without replacement from rokzkkkkkkkkkkk. What is prob of sequence kork? 11/2730 Three letters picked without replacement from {b: 2, s: 2, r: 6, e: 2}. Give prob of sequence eer. 1/110 Three letters picked without replacement from {l: 9, g: 1, u: 3, o: 1}. What is prob of sequence llo? 3/91 Two letters picked without replacement from {f: 8, d: 5, u: 5}. Give prob of sequence dd. 10/153 Calculate prob of sequence xxo when three letters picked without replacement from xxxpppxo. 1/28 Three letters picked without replacement from lohl. Give prob of sequence lho. 1/12 Calculate prob of sequence dua when three letters picked without replacement from {a: 4, u: 1, d: 4, s: 2, w: 6, y: 1}. 1/306 Three letters picked without replacement from kqhmokfm. What is prob of sequence hkk? 1/168 Calculate prob of sequence zz when two letters picked without replacement from {z: 2, h: 3, v: 3}. 1/28 Four letters picked without replacement from wfvlwvwtww. What is prob of sequence wllf? 0 What is prob of sequence vvm when three letters picked without replacement from iiimivivv? 1/84 Calculate prob of sequence ttt when three letters picked without replacement from xxqt. 0 Three letters picked without replacement from {h: 2, u: 4, f: 2}. Give prob of sequence hfh. 1/84 What is prob of sequence baw when three letters picked without replacement from {a: 1, t: 4, b: 2, w: 1, m: 1}? 1/252 Calculate prob of sequence eboy when four letters picked without replacement from {g: 2, y: 1, e: 1, r: 1, o: 2, b: 1}. 1/840 Four letters picked without replacement from {d: 2, i: 3, x: 4}. What is prob of sequence iddx? 1/126 Four letters picked without replacement from nznzznjn. What is prob of sequence jnnz? 3/140 Two letters picked without replacement from {m: 1, c: 4, l: 4, q: 2, t: 2, p: 7}. Give prob of sequence cl. 4/95 What is prob of sequence ooa when three letters picked without replacement from {o: 2, a: 2, m: 2}? 1/30 Four letters picked without replacement from eezeeeezeeze. What is prob of sequence ezzz? 1/220 Calculate prob of sequence kwk when three letters picked without replacement from {b: 3, l: 10, w: 2, f: 1, k: 3}. 2/969 Three letters picked without replacement from {k: 4, t: 3, r: 4}. What is prob of sequence trr? 2/55 Calculate prob of sequence xx when two letters picked without replacement from nxxxxnuuu. 1/6 What is prob of sequence al when two letters picked without replacement from aasajljlslajjajaajj? 7/114 Two letters picked without replacement from {m: 3, u: 2, c: 2, z: 3, e: 1, t: 1}. What is prob of sequence tu? 1/66 Calculate prob of sequence gv when two letters picked without replacement from vvvvvvvvvvvvg. 1/13 Two letters picked without replacement from qfffqqx. Give prob of sequence ff. 1/7 Calculate prob of sequence gq when two letters picked without replacement from yuytttgyttqyqgty. 1/60 Calculate prob of sequence ls when two letters picked without replacement from {s: 2, l: 1, b: 4}. 1/21 Three letters picked without replacement from {b: 1, a: 3, w: 4, q: 1, j: 1, l: 6}. What is prob of sequence awl? 3/140 Four letters picked without replacement from {c: 3, t: 11, d: 4}. Give prob of sequence dddt. 11/3060 Four letters picked without replacement from {m: 3, v: 3, y: 1, s: 4}. What is prob of sequence mmsy? 1/330 Calculate prob of sequence ltt when three letters picked without replacement from lltltlllllttllllllll. 8/285 Three letters picked without replacement from bppbpb. Give prob of sequence bbp. 3/20 Two letters picked without replacement from {i: 7, x: 1, a: 4, w: 2}. Give prob of sequence ia. 2/13 Four letters picked without replacement from qqvvq. Give prob of sequence qvqv. 1/10 Calculate prob of sequence qzzt when four letters picked without replacement from {l: 1, t: 4, z: 1, n: 2, q: 2}. 0 What is prob of sequence vb when two letters picked without replacement from pxbsvpwvxbxwspxx? 1/60 Two letters picked without replacement from {b: 7, p: 9}. Give prob of sequence pp. 3/10 Four letters picked without replacement from {g: 1, s: 1, l: 2, m: 1, y: 11}. Give prob of sequence msly. 11/21840 Three letters picked without replacement from {f: 4, g: 6}. Give prob of sequence fff. 1/30 Four letters picked without replacement from uussxuqusxuuxxsquuq. Give prob of sequence sxsq. 1/646 Three letters picked without replacement from {z: 3, y: 1, j: 2, n: 3, k: 1}. Give prob of sequence zjn. 1/40 Two letters picked without replacement from ekzyy. Give prob of sequence yz. 1/10 Two letters picked without replacement from {z: 4, c: 13, y: 3}. Give prob of sequence zy. 3/95 What is prob of sequence gs when two letters picked without replacement from {c: 1, u: 9, g: 5, l: 1, s: 2}? 5/153 What is prob of sequence uuu when three letters picked without replacement from uuuuuuu? 1 What is prob of sequence hc when two letters picked without replacement from {c: 3, h: 1}? 1/4 What is prob of sequence ssb when three letters picked without replacement from {s: 3, u: 1, h: 1, i: 1, b: 5}? 1/33 Calculate prob of sequence dohj when four letters picked without replacement from jjhojjodddjjddjdo. 3/1360 Two letters picked without replacement from {i: 1, h: 6, f: 7, m: 1, q: 2}. Give prob of sequence hh. 15/136 Two letters picked without replacement from yymmyhyh. What is prob of sequence yy? 3/14 What is prob of sequence sss when
{ "pile_set_name": "DM Mathematics" }
f, -0.5, -72? f Suppose -3*n - 2*f = 263, 258 = -3039*n + 3036*n - 3*f. Which is the nearest to -0.1? (a) -3 (b) n (c) -0.059 c Let s = 136 + -136.45. Let p = -0.65 - s. Let g = 1 + -3. Which is the closest to 4? (a) p (b) 0.1 (c) g b Suppose 0 = h - 85 - 275. Let l be 8/h*(6/4 + 0). Which is the closest to l? (a) -5 (b) -3/4 (c) 1/6 c Suppose -38*g + 60 = -26*g. Let d be (2/(-26))/(-4 + (-72)/(-16)). What is the nearest to -1 in 0.5, d, g? d Let c be (-851)/777 + 6/63. What is the closest to c in -5, 0.3, 0.08? 0.08 Suppose 14 = -5*w + 12*w. Let u be (w/(-5)*-5)/9. Let g = -9/148 + 767/444. Which is the nearest to -1? (a) u (b) g (c) 2/7 a Let d(q) = 3*q**2 + 8*q + 3. Let f be (-8 + 7 - -4)*(-2)/3. Let p be d(f). Which is the nearest to -0.2? (a) p (b) 0 (c) 0.04 b Let o = -1.2 + 1.6. Let i = o - 0.6. Let p be 2*1*(-46)/92. Which is the closest to i? (a) 4/5 (b) p (c) 2/9 c Let y = -31732 + 31731.6. What is the closest to -34 in y, 0, 3/29? y Suppose 0 = -f + 3*i + 45 - 38, -3*f - 5*i = 21. What is the closest to -1/6 in -4, f, -5? f Let c = 8/33 - 2/33. Let m be 93/(-20) + (23/(-4) - -5). Let k = m + 221/40. What is the nearest to 0 in c, k, -1/2? k Let d(y) = 444*y - 867. Let j be d(2). What is the closest to -0.8 in 3/7, 0.2, 2, j? 0.2 Let j = 23.85 + -25.85. Which is the closest to -2/17? (a) j (b) 0.4 (c) 0 (d) -4 c Let x = -12.2396 + 7.2396. Let i = 13 + -9. Let j be 10/5 + (-7)/i. What is the closest to -1 in 1/5, x, j? 1/5 Let j be ((-30)/12*(-4)/80 + 0)*2. What is the closest to j in 13.3, 25, 0? 0 Let a = -6.2 - -6.16. Let t = -0.2 - -0.2. Let c = t + -0.1. What is the nearest to c in -0.3, -3, a? a Let y = 383 - 380. Suppose 0 = -7*r + 10*r + 4*w - 23, 4*r - 19 = -3*w. What is the closest to r in 28, y, -0.2? -0.2 Suppose -24*d - 280 = -54*d - 26*d. What is the nearest to -0.1 in -0.09, -1, 1/6, d? -0.09 Let v = 1355 - 1350. Let s = -0.3 - -11.3. Let o = -10 + s. What is the closest to o in 3/8, 0, v? 3/8 Let m be (-2)/(-37) - -66*(-16392)/5328. What is the closest to m in -4, 0, -1/4, 3? -4 Let j = 4.5 + -2.5. Let n = 96/5 + -19. Let w = -17.7 + 18. Which is the nearest to j? (a) w (b) n (c) -2/5 a Let m = 101 - 53. Suppose -10*n - 32 - m = 0. Let q = n + 8. Which is the nearest to 0? (a) -5 (b) q (c) 4 b Let x = 2/477 + -964/2385. Which is the closest to -2/3? (a) x (b) -3 (c) -2 (d) -1 a Suppose -26*p + 15 = -23*p, -3*y + 5*p + 20 = 0. Let m be (-3 + (y - -1))/1. Which is the closest to 1? (a) m (b) -1/2 (c) -2/9 (d) 1 d Let l = 6/203 - -340/2233. Let m = 0.25 - -0.05. Which is the closest to 5? (a) m (b) 0.4 (c) l b Let p = 76/355 + -1/71. Which is the nearest to 0.1? (a) -2/33 (b) -1/30 (c) -3/2 (d) p d Let k = -145.49 + 2.99. Let o = -143 - k. Which is the closest to o? (a) -1 (b) -2/7 (c) 2/7 (d) -1/2 d Let j be (-17)/(-4) - -3*(-3)/(-12). Let m = 8.22 - 8. Let i = -0.12 + m. What is the closest to i in j, 0.4, -4? 0.4 Let i = 859 - 1623. Let z = i + 689.2. Let f = -75 - z. Which is the nearest to -1? (a) 0.4 (b) f (c) -3 b Let p = -73/92 - -1/23. Let m be 352/5280*6/(-4). Which is the closest to p? (a) 0.3 (b) -0.4 (c) m b Let s = -444 - -445. Let u be (((-9)/10)/3)/((-6)/5). Let y = 0.06 - 0. What is the closest to -0.1 in s, u, y? y Let u = 3 + -4. Let a = 20808 - 20808.1. What is the nearest to a in -5, -0.1, 0, u? -0.1 Let h = -59 - -184. Let k = -122 + h. Let u = -12.1 - -12. What is the closest to u in k, 1/4, -0.2? -0.2 Let r be 5/(-50) + 1/(120/(-28)). Let f be 130/(-14) + (-34)/(-119). What is the closest to f in 3, r, 0? r Let s = -3/526 - -541/2630. Let o = -22.9 - -20. Let i = o - -1.9. What is the closest to i in 0.06, s, -3/8? -3/8 Let h = 0.37 + 0.03. Let g = -0.124 + -5.976. Let z = 5.7 + g. What is the nearest to z in 2/3, -2, h? h Let s = -61/3 + 20. Suppose -17*p - 40 = -19*p. Let q be 13 + -11 - (-1)/((-6)/p). What is the nearest to s in -2, q, 0? 0 Suppose -s = n - 1, 0 = n - s - 4 + 3. Suppose -7*j + 2*j + 3*k = -7, -1 = -k. Let a be (((-112)/175)/((-4)/(-10)))/j. What is the nearest to -6 in 3, a, n? a Let f = 34511 - 34506. Which is the closest to -1/4? (a) 0.09 (b) f (c) 11.5 a Let y = -2.98984 + -0.01016. What is the nearest to -1/4 in 2, 0.158, y, 5? 0.158 Let i be (-4)/(-18) - (-7)/9. Suppose p + 3*j + j + 8 = 0, 3*p = 3*j - 9. Let k = 4514 + -4519. Which is the nearest to 2? (a) p (b) k (c) i c Suppose 0 = -f + 5*f + 16. Let j be 33*(4 + (-32)/12). Let h be (-11)/j - 38/8. Which is the nearest to 0? (a) f (b) 3 (c) h b Suppose 5*b - 29 = 4*f, 3*b - 6 = 2*f + 11. What is the closest to 1/2 in f, 1.01, 0.4, 0? 0.4 Let w = 0.1842 + -3.1842. Which is the closest to 0.2? (a) -1/2 (b) w (c) -282 a Let v = -1271.951 + 1271. Let n = v - -0.051. Let y = n + 2.9. What is the nearest to 0 in -1/5, y, -1? -1/5 Let d = -150 + 150.244. Let t = d + 0.056. What is the nearest to -0.2 in -0.04, -3, t? -0.04 Suppose -27*p + 96 = 14*p - 9*p. Which is the closest to -0.1? (a) 5/4 (b) 0.1 (c) -4.2 (d) p b Let z = 2131/9 + -237. Let c = 1861 + -1862. What is the nearest to z in -0.3, 2/3, -2/13, c? -2/13 Let x be 62/198 - ((-11)/(-121) + 0). Let c = -0.0934 - -1.0934. What is the closest to 3 in 0.3, -0.1, c, x? c Let p = -3276.4 - -3276. What is the nearest to 0 in 3/4, 3/7, p, 1/6? 1/6 Let y = -5381 + 5380.767. Which is the nearest to 0.04? (a) 2 (b) -2 (c) y c Suppose -6*x - 263 + 125 = 0. Let d = x - -26. Which is the nearest to 0.1? (a) 4 (b) d (c) -6/5 c Let u(z) = z**3 + 10*z**2 - 6. Let j be u(-10). Let w be (-22)/28 - 3/j. Let q = -36 + 37. What is the nearest to 0 in 0, w, q? 0 Let s = 53/241 - 959/2169. Which is the nearest to 0.3? (a) 0.4 (b) -128 (c) 1 (d) s a Let u = -14.068 - -14. Let l = u - 0.232. Let i = -26 + 26. Which is the nearest to 3? (a) i (b) l (c) 4 c Let j = 117/10 - 371/30. Let a = 77 - 81. What is the closest to -0.1 in -73/5, j, a? j Let j be 5/(-12) - (-1)/4. Suppose 3*l + 3*a - 69 = 0, -24*l + 23*l + 5*a = 19. What is the nearest to l in 2, j, -5? 2 Let j = 3619.1 - 3851. Let k = -232 - j. What is the closest to k in -2/3, 12, -2? -2/3 Let r be (-1)/(9/4 + (-90)/(-72)). Which is the nearest to -0.2? (a) r (b) -56 (c) -2/11 (d) -1/4 c Suppose -c + 20 = 3*c. Suppose -30*b + 29*b = c. Let w = 487 - 487. What is the closest to 0 in -7, w, b? w Let q be 12/546*(58/5 + 0). Let m = -2/65 - q. Which is the nearest to -0.1? (a) 2 (b) m (c) -13 b Let b = -490.8 + 492.7. What is the nearest to -1 in b, -4, -2/29? -2/29 Let r be (-24)/(-27)*(-3)/2. Let j = 206 - 490. Let d = j - -285. Which is the nearest to d? (a) r (b) 1.2 (c) -3 b Let u = 0.76961 + -0.06961. What is the nearest to -1/4 in 2/3, -1/4, 1, u? -1/4 Let x be 7/((-2646)/300) + 4/18. Which is the closest to 0? (a) 1/6 (b) 3/5 (c) x (d) -0.004 d Let y = 26/35 - 15/7. Let r = -30 + 21. Let b = 9.3 + r. What is the closest to -0.1 in -0.1, b, y? -0.1 Let g = 1.3 + -0.9. Let r(l) = -l**3 + 8*l**2 - 15*l + 18. Let j be r(6). Suppose 0 = -4*v + y - 11, y + j*y = 3. What is the nearest to v in -3, 2, g? -3 Let o = 0.195 - 878.195. Let b = 878.939 + o. Let m = 0.061 + b. What is the closest to 1 in -0.3, -0.2, m? m Let r = 1.7 + -286.7. Let c = r + 289. What is the nearest to 0.2 in -0.1, c, -1/4? -0.1 Let h = -204375 + 204367. Let z(x) = -2*x + 2. Let n be z(-3). Which is the closest to h? (a) 2/3 (b) n (c) 1/4 c Let q = -3.04 - 0.96. Let r = 22 - 24. What is the closest to q in 1, -5, r, 5? -5 Let o be 3/15*-11 + 2. Let f = -1573 + 12587/8. Which is the closest to o? (a) -5 (b) -3 (c) f c Let w = 1702/20025 + -4/801. Let p = 1.91 - -0.09. Let c = -2 + p. What is the closest to c in 4, 6, w? w Let i be -4 - (-30)/4 - (-2)/(-4). Suppose 20 = i*s + s. Suppose -3*x = s*v - 17 - 6, -5*x - 7 = -3*v. What is the nearest to 2/5 in v, -1/5, 0.3? 0.3 Let z(v) = v**3 + 33*v**2 + 60*v - 42. Let q be z(-31). Suppose 2*i = -4*h + 12, 15*h = 11*h + q. Which is the nearest to 19? (a) -0.4 (b) i (c) 0.3 c Let d = 12.51 + -133.71. Let c = d - -121. What is the nearest to -2/9 in 0.1, -1, c? c Suppose o + 3*o = -g + 19, 3*o + 3*g = 3. Let m be ((-2)/o)/(40/30). Let f = 0.0484 + -0.3484. What is the nearest to 1 in m, f, 7/3? m Let n = -701.8 - -702.2.
{ "pile_set_name": "DM Mathematics" }
e 0 = c - 3. What is c*u(d) + 7*w(d)? d**2 Let v(f) be the second derivative of -5*f**3/6 + 3*f**2/2 - 6*f. Let z(d) = 9*d - 5. Determine -7*v(m) - 4*z(m). -m - 1 Let u(l) = 7*l**3 + 11*l. Let k(h) = -8*h**3 - 12*h. Determine 6*k(q) + 7*u(q). q**3 + 5*q Let n(u) = 0*u**2 + u + 4*u**2 - 6*u. Let l(z) = 2*z**2 - 3*z. Let k = 28 - 31. What is k*n(f) + 5*l(f)? -2*f**2 Let r(x) = x**2 - x + 1. Let l(s) = 2*s**3 + s**2 - s + 6. What is l(m) - r(m)? 2*m**3 + 5 Let a(v) = 2*v**2 + 2*v - 1. Let i = 0 - -1. Let j(b) = b - 1. Let g = -2 + 4. Suppose 0 = -0*t + 2*t + g. Calculate i*a(l) + t*j(l). 2*l**2 + l Let v(y) = -9*y**3 - y**2 + 3*y + 7. Let k(f) = -8*f**3 - f**2 + 3*f + 6. Determine 5*k(w) - 4*v(w). -4*w**3 - w**2 + 3*w + 2 Let f(n) = 5*n**3 - 4. Let s(p) = -p**3 + 1. Suppose 2*t + 5 - 3 = 0. What is t*f(c) - 4*s(c)? -c**3 Let i be 18/14 + (-14)/49. Let a(g) = -7*g**3 + 16*g**2. Let j(d) = d**3 - d**2. Let h(x) = 2*a(x) + 22*j(x). Let q(f) = f**3 + f**2. Give i*h(m) - 10*q(m). -2*m**3 Let x = 1 - 6. Let t(j) = -j**2. Let b(u) = 2*u**2 - 5*u. Let a(v) = b(v) + t(v). Let w(r) = r**2 - 9*r. Let z be 0/2 + 1*3. Calculate x*a(i) + z*w(i). -2*i**2 - 2*i Let w(q) = q. Let u(b) = 1. Let z(p) = -p. Let g(k) = -2*k + 1. Let f(i) = 4*g(i) - 7*z(i). Let a(c) = f(c) - 4*u(c). Determine -a(l) - 2*w(l). -l Let h(q) = -5*q. Let l be (8/(-4) - -2) + 33. Let c(m) = m. What is l*c(g) + 6*h(g)? 3*g Let m(r) = 49*r**3 + 4*r + 4. Let i(g) = 99*g**3 + 9*g + 9. What is 4*i(d) - 9*m(d)? -45*d**3 Let h(j) = -j**2 - 5*j - 5. Let s(p) = 3*p**2 - 12*p - 17. Let k(g) = -4*g**2 + 12*g + 18. Let w(r) = -5*k(r) - 6*s(r). Determine 12*h(x) + 5*w(x). -2*x**2 Suppose 0*x + 2 = x. Let p(t) = t**2 + t + 1. Let s(j) = -j**2 - 3*j - 3. Calculate x*s(d) + 6*p(d). 4*d**2 Let c(k) = -3*k. Let g(r) = 1 + 0*r + 0 - r. Calculate -c(a) + 2*g(a). a + 2 Let j(i) = -10*i**3 + i**2 + 11*i + 11. Let m(u) = 5*u**3 - 6*u - 6. Determine -6*j(g) - 11*m(g). 5*g**3 - 6*g**2 Let w(i) = -i**3 + i**2 + i + 4. Let a(z) be the first derivative of -z**3/3 - z**2/2 - z + 15. Give a(y) + w(y). -y**3 + 3 Let r(k) = 759*k**2 - 115*k. Let o(s) = 20*s**2 - 3*s. Give -115*o(a) + 3*r(a). -23*a**2 Let j(s) = s**2 - 2*s - 8. Let p(c) = -3*c**2 + 6*c + 23. Determine -17*j(r) - 6*p(r). r**2 - 2*r - 2 Let i(c) = c**2 + 7*c - 4. Let n(y) = -y + 1. What is i(s) + 5*n(s)? s**2 + 2*s + 1 Let u(m) = m**2 + 4*m. Let o(g) = 2*g**2 + 5*g. Let j(t) = t - 4. Let b be j(0). Calculate b*o(r) + 5*u(r). -3*r**2 Let m be ((-15)/(-12))/((-2)/(-8)). Let y(c) = 6*c**3 + 5*c**2 - 5. Let w(p) = 5*p**3 + 4*p**2 - 4. Calculate m*w(b) - 4*y(b). b**3 Let w(a) be the third derivative of 5*a**4/24 + a**2. Let g(q) = -6*q. Calculate -4*g(p) - 5*w(p). -p Let p(h) = h**3 - h**2 - 18*h. Let a(f) = -3*f**3 + 2*f**2 + 53*f. Give -3*a(j) - 8*p(j). j**3 + 2*j**2 - 15*j Let o(n) = 10*n - 2*n - 179 + 184. Let w(d) = -23*d - 14. Determine -17*o(k) - 6*w(k). 2*k - 1 Let s(v) = -343*v + 0*v**2 + v**2 + 344*v. Let b(f) = -f**2 + 2*f. Give b(d) - 2*s(d). -3*d**2 Let s(q) = q**3 - q**2. Let c(b) be the first derivative of b**4/2 - b**3 + 1. Let y = -11 + 7. Let j = y - -7. Calculate j*s(n) - c(n). n**3 Let g(l) = 6*l**2 - 4*l. Let i(u) = -3*u**2 + 2*u. Determine -6*g(v) - 11*i(v). -3*v**2 + 2*v Let n(i) = -3*i**3 + 5*i**2 + 3*i - 1. Let f(h) = -h**3 + 1. Give f(b) + n(b). -4*b**3 + 5*b**2 + 3*b Let q(m) = -13*m**3 - 3*m**2 - 3. Let u(i) = 13*i**3 + 4*i**2 + 4. What is 4*q(k) + 3*u(k)? -13*k**3 Let n(f) = -f + 3*f**2 + 7*f**2 + f - 2*f**3. Let a(o) = -o**2. Calculate -10*a(j) - n(j). 2*j**3 Let a be 39/15 + (-4)/(-10). Let w(l) = -4*l**2 - 2*l - 1. Let j(q) = 1 - 2*q**2 - 3*q**2 - 3*q + 4*q + 7*q**2. Calculate a*w(x) + 5*j(x). -2*x**2 - x + 2 Let r(o) = 4*o**3 - 6*o**2 - 7*o + 6. Let i(y) = 7*y**3 - 11*y**2 - 13*y + 11. Determine 6*i(j) - 11*r(j). -2*j**3 - j Let l(b) = 2*b + 2. Let s(q) be the first derivative of q + 13. Calculate -l(h) + 3*s(h). -2*h + 1 Let v(b) = b - 3. Suppose -5*g + 207 = -33. Suppose 4*z = -2 - 10, -5*h + z = -g. Let l(p) = -5*p + 13. Calculate h*v(w) + 2*l(w). -w - 1 Suppose -3*n + 3*d - 17 = 2*n, -4*n - 2*d = -4. Let i(o) = 4*o**3 - 3*o**2 + 2*o - 3. Let s(t) = -t**3 + t**2 - t + 1. Give n*i(p) - 3*s(p). -p**3 + p Let v(y) = y**2 + y - 1. Let o(z) = 6*z**2 + z + 1. Calculate o(l) - v(l). 5*l**2 + 2 Let j(n) = -3*n**2 + 2*n - 4. Let h(a) be the first derivative of -7*a**3/3 + 5*a**2/2 - 9*a + 13. Calculate 2*h(r) - 5*j(r). r**2 + 2 Let r = -6 - -8. Let w(t) be the first derivative of -2*t**4 + 7*t**3/3 + 4*t**2 + 7*t + 6. Let c(u) = u**3 - u**2 - u - 1. Give r*w(s) + 14*c(s). -2*s**3 + 2*s Let u(f) = -7*f. Let c = 140 + -88. Let j(y) = -22*y + 52 - c. What is -5*j(l) + 16*u(l)? -2*l Let f(s) = s. Suppose -3*z = 2*m - 7*z - 22, 4 = -m - z. Let y(w) = 2*w. What is m*y(a) - 5*f(a)? -3*a Let a(g) = 7*g**2 - 2*g - 1. Let z(n) = -8*n**2 + 2*n + 1. What is 4*a(b) + 3*z(b)? 4*b**2 - 2*b - 1 Let k(p) = -37*p**3 + 4*p**2 - 2*p + 4. Let y(t) = 75*t**3 - 9*t**2 + 4*t - 9. Give 9*k(n) + 4*y(n). -33*n**3 - 2*n Let w(q) be the third derivative of q**5/15 - q**4/12 - 5*q**3/6 + 12*q**2. Let m(g) = 7*g**2 - 4*g - 9. Determine -6*m(c) + 11*w(c). 2*c**2 + 2*c - 1 Let w(c) = 32*c**3 + 13*c**2 + 11*c - 4. Let b(s) = 16*s**3 + 6*s**2 + 5*s - 2. Give 13*b(v) - 6*w(v). 16*v**3 - v - 2 Let w(m) = m - 1. Let r(j) = 5*j + 8. What is r(p) - 3*w(p)? 2*p + 11 Let a(q) = 7*q**2 + 4*q - 7. Let o = 44 + -50. Let d(g) = 20*g**2 + 11*g - 20. Determine o*d(c) + 17*a(c). -c**2 + 2*c + 1 Let d(w) = -w + 1. Let s(g) = 4*g - 4. Suppose -4 + 1 = 3*m. Let c = 4 + m. Suppose 5*x = -0*x + 5*j - 10, -3*x + 2*j - c = 0. Calculate x*s(f) + 6*d(f). -2*f + 2 Let y(f) = 2*f - 2. Suppose 5*l - 6 = 4. Let q(z) = -3*z - 2 + 3 + 1 + l. Determine 3*q(p) + 5*y(p). p + 2 Let j(d) = 3*d - 4 + 3 - 4 + 2. Let q(b) = -3*b + 4. Calculate -4*j(z) - 3*q(z). -3*z Let g(n) = 2*n. Let r(h) = -h**2 - 5*h. What is 5*g(k) + 2*r(k)? -2*k**2 Let i(m) = -3*m**3 + 2*m - 2. Suppose -w - 4*w + 25 = 0. Let v(x) = -7*x**3 + 5*x - 5. Suppose 9*y + 4 = 4*y + 3*q, -3*y + q = 4. What is w*i(o) + y*v(o)? -o**3 Let q(g) = 2*g**3 + 9*g**2 + 3*g - 5. Let c(m) = m**3 + 5*m**2 + m - 2. What is 5*c(s) - 2*q(s)? s**3 + 7*s**2 - s Let x(a) = 336*a + 35. Let r(v) = -28*v - 3. Determine -35*r(g) - 3*x(g). -28*g Let f(t) = t**3 + 3*t**2. Let z(y) = -8*y**3 - 20*y**2. Give -20*f(p) - 3*z(p). 4*p**3 Let f(n) = 8*n + 11. Let p(j) = 4*j + 5. Give -4*f(g) + 9*p(g). 4*g + 1 Let x(j) = j**3 + j**2 + 2. Let k(s) be the first derivative of -s**4/4 - s**3/3 - 3*s - 12. Let u = -1 - 1. What is u*k(i) - 3*x(i)? -i**3 - i**2 Let s(o) = 4*o**3. Let j(d) = -4*d**2 - 5. Let b(t) = t**3 - 3*t**2 - 4. Let g(p) = -5*b(p) + 4*j(p). Give 2*g(m) + 3*s(m). 2*m**3 - 2*m**2 Let u(h) = -2*h**2 + 3*h**2 + 7 - 2*h - h. Let i(q) be the third derivative of -q**4/24 + q**3/3 - 2*q**2. Determine -7*i(m) + 2*u(m). 2*m**2 + m Let t(s) = s + 2. Let h(z) = 1. Let a = 34 - 32. What is a*t(y) - 2*h(y)? 2*y + 2 Let g(k) = 4*k + 4. Let x = -12 + 13. Let o(t) = 14*t + t - 6*t - 8*t + x. Give -g(a) + 6*o(a). 2*a + 2 Suppose s - 5*l = 15, -5 = 2*s - l + 1. Let v(m) = -m**2 - m**2 + 7*m + 5*m**2. Let b(u) = 4*u**2 + 8*u. What is s*b(i) + 6*v(i)? -2*i**2 + 2*i Let h(m) = -m**2 - 5. Let n(f) = f**2 + f + 4. Calculate -2*h(t) - 3*n(t). -t**2 - 3*t - 2 Let z(r) = 9*r + 3. Let x(d) = 9*d + 4. Determine -5*x(b) + 6*z(b). 9*b - 2 Let t(p) = p**3 - 9*p**2 + 8*p + 2. Let d be t(8). Let a(x) = x**2 - 4*x**2 - x**d + x**2 - 2*x. Let l(r) = -7*r**2 - 4*r. What is 9*a(w) - 4*l(w)? w**2 - 2*w Let q(b) = 4*b**2 - 2*b + 1. Let k(f) = -4*f**2 + 3*f - 1. Give 3*k(p) + 4*q(p). 4*p**2 + p + 1 Let o(j) = 4*j + 13. Suppose 3*a = -a - 20. Let h(x) = 3*x + 9. Give a*o(r) + 7*h(r). r - 2 Let w(o) = o + 5. Let i(r) = r + 6. Determine 4*i(j) - 5*w(j). -j - 1 Let q(s) = 7*s**2 - 3*s - 3. Suppose w + 14 - 17 = 0. Let p(u) = -6*u**2 + 2*u + 2. Give w*p(d) + 2*q(d). -4*d**2 Let d(o) = -o**3 - o**2 + o. Let q(m) = 6*m**3 + 3*m**2 - 3*m + 2. Determine -3*d(l) - q(l). -3*l**3 - 2 Let j(z) = -z**3 + z**2 - 1. Let p be (9/4)/(24/(-64)). Let i(n) be the second derivative of n**5/5 - n**4/2 + 3*n**2 - 2*n. Calculate p*j(y) - i(y). 2*y**3 Let y(f) = 13*f**3 - 9*f**2 - 9*f - 65. Let l(u) = 6*u**3 - 4*u**2 - 4*u
{ "pile_set_name": "DM Mathematics" }
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3 What is the ten thousands digit of 357396938? 9 What is the millions digit of 90812982? 0 What is the ten millions digit of 718006883? 1 What is the hundred millions digit of 323105196? 3 What is the units digit of 337700771? 1 What is the hundred millions digit of 158001269? 1 What is the hundred millions digit of 1682315100? 6 What is the hundred millions digit of 493275442? 4 What is the tens digit of 55799047? 4 What is the hundred thousands digit of 387330720? 3 What is the ten thousands digit of 27279841? 7 What is the units digit of 2363902311? 1 What is the hundreds digit of 411791935? 9 What is the hundred millions digit of 511055949? 5 What is the thousands digit of 940319981? 9 What is the tens digit of 120629517? 1 What is the tens digit of 86503710? 1 What is the thousands digit of 887181474? 1 What is the ten millions digit of 37354899? 3 What is the units digit of 60094490? 0 What is the ten thousands digit of 2395215609? 1 What is the hundreds digit of 8065168191? 1 What is the hundred thousands digit of 95206234? 2 What is the ten thousands digit of 90855184? 5 What is the hundred millions digit of 128985726? 1 What is the thousands digit of 52140711? 0 What is the thousands digit of 656544889? 4 What is the millions digit of 2934410367? 4 What is the ten thousands digit of 958879526? 7 What is the units digit of 105840476? 6 What is the millions digit of 34509980? 4 What is the ten thousands digit of 3254611862? 1 What is the tens digit of 248056158? 5 What is the thousands digit of 422119754? 9 What is the ten thousands digit of 24389107? 8 What is the ten millions digit of 2237207036? 3 What is the millions digit of 594414703? 4 What is the hundreds digit of 298988620? 6 What is the units digit of 9502722329? 9 What is the hundreds digit of 1602967655? 6 What is the ten millions digit of 88727239? 8 What is the millions digit of 88687196? 8 What is the hundreds digit of 178932906? 9 What is the ten millions digit of 450559334? 5 What is the hundred thousands digit of 307819480? 8 What is the ten millions digit of 937192330? 3 What is the ten thousands digit of 1362371? 6 What is the hundred millions digit of 102930975? 1 What is the hundreds digit of 45736110? 1 What is the ten thousands digit of 860804116? 0 What is the units digit of 17254092? 2 What is the thousands digit of 1525090298? 0 What is the units digit of 1003908596? 6 What is the ten thousands digit of 220904724? 0 What is the hundred thousands digit of 309832356? 8 What is the units digit of 54988011? 1 What is the tens digit of 1207497498? 9 What is the tens digit of 25189386? 8 What is the thousands digit of 77298648? 8 What is the units digit of 2850172497? 7 What is the units digit of 93576605? 5 What is the hundred millions digit of 3829517413? 8 What is the thousands digit of 300811107? 1 What is the thousands digit of 11608462? 8 What is the millions digit of 234819760? 4 What is the millions digit of 6978838731? 8 What is the ten thousands digit of 335195360? 9 What is the hundred millions digit of 120267920? 1 What is the tens digit of 334284156? 5 What is the units digit of 86884008? 8 What is the ten millions digit of 105299741? 0 What is the ten millions digit of 91551133? 9 What is the hundred thousands digit of 32958223? 9 What is the ten thousands digit of 40115308? 1 What is the units digit of 226143420? 0 What is the thousands digit of 54534236? 4 What is the millions digit of 36728350? 6 What is the hundred thousands digit of 1367694? 3 What is the ten millions digit of 237956808? 3 What is the hundred millions digit of 147342775? 1 What is the hundred thousands digit of 304790396? 7 What is the ten thousands digit of 843587823? 8 What is the ten millions digit of 63654290? 6 What is the hundred thousands digit of 418047081? 0 What is the hundred thousands digit of 52513543? 5 What is the units digit of 1013781626? 6 What is the hundreds digit of 697973056? 0 What is the thousands digit of 1315295478? 5 What is the millions digit of 138767980? 8 What is the tens digit of 83228593? 9 What is the hundred millions digit of 4563249734? 5 What is the millions
{ "pile_set_name": "DM Mathematics" }
/11, 0.1 Put 35, 2, 4 in decreasing order. 35, 4, 2 Sort 7, -5, 0.287 in descending order. 7, 0.287, -5 Put -0.5, 114, 2/15 in increasing order. -0.5, 2/15, 114 Sort -1/4, -5, 0.02, 1, 5 in decreasing order. 5, 1, 0.02, -1/4, -5 Sort 2, -10, -3 in increasing order. -10, -3, 2 Sort 8, -1, 5. -1, 5, 8 Sort 0.01, -3, -9 in decreasing order. 0.01, -3, -9 Sort 0, 1, 5, 3, -3. -3, 0, 1, 3, 5 Put -6, 10, -5, 1/11 in descending order. 10, 1/11, -5, -6 Put 0.2, -2/13, -2/5, -27, -3 in decreasing order. 0.2, -2/13, -2/5, -3, -27 Sort 2/9, 2/27, -0.049. -0.049, 2/27, 2/9 Put -3, -25, 10 in ascending order. -25, -3, 10 Put 30, 4, -27 in descending order. 30, 4, -27 Put -8, 1/4, -1/4 in increasing order. -8, -1/4, 1/4 Sort -4, -105, -0.3 in descending order. -0.3, -4, -105 Put 4, -6, -85 in descending order. 4, -6, -85 Sort -1, 2/7, -12, 3/5 in increasing order. -12, -1, 2/7, 3/5 Sort 168, -2, 1, -1 in descending order. 168, 1, -1, -2 Put 0.7, -3/5, 5/6 in decreasing order. 5/6, 0.7, -3/5 Sort -7, -3, -26. -26, -7, -3 Put -0.0059, 0.5, 9 in decreasing order. 9, 0.5, -0.0059 Sort -3/10, 12, 5, -1 in decreasing order. 12, 5, -3/10, -1 Sort -1, 50, -3 in descending order. 50, -1, -3 Sort -7, 2, -5, 1 in increasing order. -7, -5, 1, 2 Put -9, 2, 21 in ascending order. -9, 2, 21 Sort -0.8, -4, -2/9, -298, -3 in descending order. -2/9, -0.8, -3, -4, -298 Sort -2, 1, -3, -5, 2 in descending order. 2, 1, -2, -3, -5 Sort 2/13, -1/2, -22, -12, 2/5. -22, -12, -1/2, 2/13, 2/5 Put -28, 4, 15, -4 in decreasing order. 15, 4, -4, -28 Sort 24, -479, -3 in ascending order. -479, -3, 24 Sort -0.06, -2/11, 2/19 in descending order. 2/19, -0.06, -2/11 Sort 5, -4, -82, 3 in ascending order. -82, -4, 3, 5 Sort -3, -1, -5 in increasing order. -5, -3, -1 Sort 3, 0.4, 3/8, 280. 3/8, 0.4, 3, 280 Sort 2/5, 3/2, -5, 2/3, -3/4 in increasing order. -5, -3/4, 2/5, 2/3, 3/2 Sort 4/13, -6, -2, 0.2 in ascending order. -6, -2, 0.2, 4/13 Put 1/2, 0.52, 7/4 in ascending order. 1/2, 0.52, 7/4 Put -1, -94, -4 in descending order. -1, -4, -94 Put -3, 0, -4, 5 in descending order. 5, 0, -3, -4 Sort 5, 3, -2, 12 in descending order. 12, 5, 3, -2 Sort -3/7, 15, -0.2 in decreasing order. 15, -0.2, -3/7 Put 2/3, -4, 69, 6, 4 in increasing order. -4, 2/3, 4, 6, 69 Put 12, 5, -4, -2 in ascending order. -4, -2, 5, 12 Sort -4, -3, -279 in decreasing order. -3, -4, -279 Sort -8/3, 1/10, -8, 2 in decreasing order. 2, 1/10, -8/3, -8 Put 362, -1, 3 in ascending order. -1, 3, 362 Sort 1, -3, 2 in ascending order. -3, 1, 2 Put 145, 2, 5 in ascending order. 2, 5, 145 Sort 1306, 5, 13, 4 in decreasing order. 1306, 13, 5, 4 Put -37, 30, 0, 1 in increasing order. -37, 0, 1, 30 Sort 3, -9, -11 in decreasing order. 3, -9, -11 Put 2, 4, -3 in descending order. 4, 2, -3 Sort 0.3, -9, -16/7. -9, -16/7, 0.3 Sort 2, -4, 0, -3, 3 in decreasing order. 3, 2, 0, -3, -4 Put 5, 78, 1/2 in ascending order. 1/2, 5, 78 Put -3, 2, 6, 7 in descending order. 7, 6, 2, -3 Sort 0.07, -6, -2, -5. -6, -5, -2, 0.07 Sort -6, 28, -1. -6, -1, 28 Put 5, -2, -109 in decreasing order. 5, -2, -109 Sort -1, 45, 3, -3, 1. -3, -1, 1, 3, 45 Sort 3, -0.039, 0. -0.039, 0, 3 Sort 3, -49, 1, 2, -14 in descending order. 3, 2, 1, -14, -49 Sort 4, 3, -18357. -18357, 3, 4 Put -3, -1, 5 in descending order. 5, -1, -3 Sort 13, -1/8, -0.4, 2/5 in ascending order. -0.4, -1/8, 2/5, 13 Put 4, -5, -22, -8 in increasing order. -22, -8, -5, 4 Put -1/10, 0.2, 1, 3/7 in decreasing order. 1, 3/7, 0.2, -1/10 Put -4, -2, 11, -17, 0 in ascending order. -17, -4, -2, 0, 11 Sort 1362, -3, -2, 1 in descending order. 1362, 1, -2, -3 Sort -3, 2, -335 in increasing order. -335, -3, 2 Sort 685, -1, -3, -4 in ascending order. -4, -3, -1, 685 Put 0.2, -0.1, -2/5, -10 in descending order. 0.2, -0.1, -2/5, -10 Put 0.4, 5, -14/5 in ascending order. -14/5, 0.4, 5 Sort 1, 2, 6, -5. -5, 1, 2, 6 Put -53, 4, 5 in descending order. 5, 4, -53 Sort 82, 3, -1, 1. -1, 1, 3, 82 Sort 0, -1, 64 in ascending order. -1, 0, 64 Sort 5, -3, -4, -2, 61 in ascending order. -4, -3, -2, 5, 61 Put -37, 0, 5, -0.1 in decreasing order. 5, 0, -0.1, -37 Sort 3.5, -0.4, -1/2, 7, 0.2 in decreasing order. 7, 3.5, 0.2, -0.4, -1/2 Put -0.33, -0.4, 0, -1/2, -3 in ascending order. -3, -1/2, -0.4, -0.33, 0 Sort -15, -4/17, -0.2, 0.4 in decreasing order. 0.4, -0.2, -4/17, -15 Put 3, 36, 4, -2 in decreasing order. 36, 4, 3, -2 Sort -2, -1, 48 in increasing order. -2, -1, 48 Sort -0.4, 251, 0.01, -2/13 in increasing order. -0.4, -2/13, 0.01, 251 Sort -1, 0, 31, 4, -4 in ascending order. -4, -1, 0, 4, 31 Put -4, -97, 37 in increasing order. -97, -4, 37 Put -3, 5, 106, -1 in ascending order. -3, -1, 5, 106 Put 76/5, 0.3, -11 in descending order. 76/5, 0.3, -11 Put -2, 373, 4 in decreasing order. 373, 4, -2 Put -0.5, 3/40, 5/6 in ascending order. -0.5, 3/40, 5/6 Put -3, -1, -10, 5 in decreasing order. 5, -1, -3, -10 Sort 6, 0, -6, -2 in decreasing order. 6, 0, -2, -6 Sort 4/9, -4/5, -0.01, -2/155 in descending order. 4/9, -0.01, -2/155, -4/5 Sort -3, -1/5, 0, 1/2, -2/31 in descending order. 1/2, 0, -2/31, -1/5, -3 Sort -0.5, 0, 166, -30. -30, -0.5, 0, 166 Put 12, 0.2, 3, 5 in ascending order. 0.2, 3, 5, 12 Put -2, 3, 6, 4 in increasing order. -2, 3, 4, 6 Put -43.5, 0, -5 in descending order. 0, -5, -43.5 Sort -2/7, -5, 6, -1 in increasing order. -5, -1, -2/7, 6 Put -1, 192, 22 in descending order. 192, 22, -1 Put -43, 0.2, 1 in decreasing order. 1, 0.2, -43 Sort 3, 13/4, 0.2, 1. 0.2, 1, 3, 13/4 Sort 12, -0.5, 5 in descending order. 12, 5, -0.5 Put -18, -0.4, 0.8, -17 in increasing order. -18, -17, -0.4, 0.8 Put 0, -3, -6, 7 in decreasing order. 7, 0, -3, -6 Sort 0, 5, -205 in descending order. 5, 0, -205 Sort 0.048, 2/13, 2/39, 0 in increasing order. 0, 0.048, 2/39, 2/13 Sort -1/2, 4, 2/355 in ascending order. -1/2, 2/355, 4 Sort 0, -255, 3, 1 in increasing order. -255, 0, 1, 3 Sort 7/2, 4, -5, -3/13, 0 in descending order. 4, 7/2, 0, -3/13, -5 Sort -5, 4, 1, 1.9 in descending order. 4, 1.9, 1, -5 Sort -5, 1/2, 6.3, 0 in ascending order. -5, 0, 1/2, 6.3 Put -3, -4, 1, 3, 2 in decreasing order. 3, 2, 1, -3, -4 Put -2, 9, 2, 53 in increasing order. -2, 2, 9, 53 Put 2, 4, -5, 0 in decreasing order. 4, 2, 0, -5 Put 12, -0.5, 0.03, 3 in descending order. 12, 3, 0.03, -0.5 Sort 2/3, -72, 1/4. -72, 1/4, 2/3 Sort -6, 4, 5 in descending order. 5, 4, -6 Sort 4, -4, -3, 2, 746 in descending order. 746, 4, 2, -3, -4 Sort -3/46, -3/8, 1/4 in decreasing order. 1/4, -3/46, -3/8 Sort 3/7, -1, -5 in decreasing order. 3/7, -1, -5 Put 0.3, -0.2, 4 in decreasing order. 4, 0.3, -0.2 Put -24, -4, 6 in ascending order. -24, -4, 6 Sort 0.2, 17, 3. 0.2, 3, 17 Put -13, 4, 6 in decreasing order. 6, 4, -13 Sort 4, -2, -179, -5. -179, -5, -2, 4 Sort -5, 53, -2 in ascending order. -5, -2, 53 Put 14, 1/4, 2/19, 3 in decreasing order. 14, 3, 1/4, 2/19 Put -3.4, -0.5, 1, -1/3, -4/7 in descending order. 1, -1/3, -0.5, -4/7, -3.4 Put -4, 0.4, 2/21, -2/85 in descending order. 0.4, 2/21, -2/85, -4 Put 4, 0.34, -2, 7 in descending order. 7, 4, 0.34, -2 Put 6/35, 2/13, 0.5 in descending order. 0.5, 6/35, 2/13 Put 2, -19, -3 in increasing order. -19, -3, 2 Sort -5, 5, 2/9 in descending order. 5, 2/9, -5 Put -9, -2/5, 0.4, 0.018 in decreasing order. 0.4, 0.018, -2/5, -9 Sort 2885, 0, 2, -3 in increasing order. -3, 0, 2, 2885 Sort -0.4, 37, -4. -4, -0.4, 37 Sort 336, -3, -5, 2, -4 in decreasing order. 336, 2, -3, -4, -5 Sort 30/29, 2, 0.4 in ascending order. 0.4, 30/29, 2 Put -1, 89, -3 in decreasing order. 89, -1, -3 Put -1, 3, 1/9, 1/2 in descending order. 3, 1/2, 1/9, -1 Sort 0, 3, -12182 in descending order. 3, 0, -12182 Sort -3, -61, -14 in decreasing order. -3, -14, -61 Sort 3, -1/4, -8, 4 in descending order. 4, 3, -1/4, -8 Put 5, -421, -5, 1, -3 in decreasing order. 5, 1, -3, -5, -421 Put 1/5, 27, 1/4, 9 in descending order. 27, 9, 1/4, 1/5 Put 2, 15/7, 26, 0.3 in descending order. 26, 15/7, 2, 0.3 Sort 0, 0.1, -4763 in decreasing order. 0.1, 0, -4763 Sort -12, 164, 4 in ascending order. -12, 4, 164 Put -46, 2, 8, -3, 1 in decreasing order. 8, 2, 1, -3, -46 Sort 1, 4/15, 6 in descending order. 6, 1, 4/15 Put -2, 0.1, 1/3, 4, -0.4 in ascending order. -2, -0.4, 0.1, 1/3, 4 Put -9, -1, 1, 4, -4 in increasing order. -9, -4, -1, 1, 4 Put 82/3, -1, -0.1, -4 in
{ "pile_set_name": "DM Mathematics" }
780628, -1219735? -1756422 What is next in -4132131, -8264248, -12396365? -16528482 What comes next: 692471, 1385186, 2077901? 2770616 What comes next: -417523065, -417523064, -417523063, -417523062, -417523061, -417523060? -417523059 What comes next: -1759, -7076, -15967, -28432, -44471, -64084? -87271 What is next in -171, -1482, -3701, -6828, -10863, -15806, -21657? -28416 What comes next: -840, -1774, -2812, -3954, -5200, -6550, -8004? -9562 What is next in 335331, 1341314, 3017951, 5365242, 8383187, 12071786, 16431039? 21460946 What is next in -1002948, -2005895, -3008842, -4011789, -5014736? -6017683 What comes next: -36243890, -36243877, -36243864? -36243851 What comes next: 25965981, 25965982, 25965983, 25965984, 25965985, 25965986? 25965987 What is next in -677046, -677052, -677072, -677112, -677178, -677276? -677412 What comes next: 32414, 130680, 294458, 523748, 818550? 1178864 What comes next: -8359, -15934, -22725, -28732, -33955, -38394, -42049? -44920 What is the next term in -5996912, -5996931, -5996950, -5996969, -5996988, -5997007? -5997026 What is the next term in -213091, -426156, -639233, -852322, -1065423, -1278536, -1491661? -1704798 What is the next term in -6524813, -13049627, -19574443, -26099261? -32624081 What is next in 230204, 460185, 690166, 920147, 1150128? 1380109 What comes next: 80912, 81111, 81310, 81509? 81708 What is next in 85837751, 85837752, 85837753, 85837754, 85837755, 85837756? 85837757 What comes next: -297260394, -594520787, -891781180, -1189041573, -1486301966, -1783562359? -2080822752 What is next in 12667, 48372, 107885, 191206, 298335? 429272 What comes next: 9212283, 9212258, 9212233, 9212208, 9212183? 9212158 What is the next term in 15516, 15644, 15916, 16344, 16940, 17716, 18684? 19856 What is next in 614, 2291, 5034, 8801, 13550, 19239? 25826 What is the next term in 1290, 1631, 1984, 2355, 2750? 3175 What comes next: -1546, 6591, 20146, 39113, 63486, 93259, 128426, 168981? 214918 What is the next term in -50771751, -50771754, -50771757? -50771760 What is next in 372021613, 372021608, 372021601, 372021592, 372021581, 372021568? 372021553 What is next in -80188956, -160377906, -240566856, -320755806? -400944756 What is the next term in -4777146, -19108557, -42994242, -76434201, -119428434, -171976941, -234079722? -305736777 What comes next: -1066875556, -1066875555, -1066875554? -1066875553 What is the next term in -2626, -10298, -23038, -40846, -63722? -91666 What comes next: -386573, -386474, -386331, -386144, -385913, -385638? -385319 What comes next: -30382, -121531, -273452, -486145, -759610, -1093847? -1488856 What comes next: -308364, -1233509, -2775420, -4934097? -7709540 What is next in 3553, 27784, 93573, 221704, 432961, 748128, 1187989, 1773328? 2524929 What is next in -10743, -21757, -32771, -43785, -54799, -65813? -76827 What is the next term in -11945, -47855, -107775, -191711, -299669? -431655 What is the next term in 183873, 366931, 549973, 732993, 915985? 1098943 What comes next: 60, 57, -190, -879, -2208, -4375, -7578, -12015? -17884 What is the next term in 1144093, 1144133, 1144173, 1144213, 1144253, 1144293? 1144333 What is next in 21490473, 42980953, 64471433, 85961913, 107452393? 128942873 What is next in 983588, 983641, 983694, 983747, 983800? 983853 What comes next: -2813270, -5626585, -8439914, -11253263, -14066638? -16880045 What is next in 136, -92, -620, -1562, -3032, -5144, -8012? -11750 What comes next: -1502, -1082, -370, 634, 1930, 3518, 5398? 7570 What comes next: 2314, -2879, -11526, -23621, -39158, -58131, -80534? -106361 What is next in -25689, -51498, -77275, -103002, -128661? -154234 What comes next: -49812, -49797, -49782? -49767 What comes next: 2008, 2408, 3482, 5566, 8996? 14108 What is next in 1396688, 2793437, 4190186, 5586935, 6983684, 8380433? 9777182 What is next in 1596, 7549, 19616, 39549, 69100, 110021, 164064? 232981 What comes next: -31569, -59768, -87969, -116172, -144377, -172584? -200793 What is the next term in 109818, 219622, 329404, 439152, 548854? 658498 What is next in -33400, -33331, -33262? -33193 What is next in -17674, -35372, -53082, -70804, -88538, -106284? -124042 What comes next: -2024780, -4049571, -6074362? -8099153 What is next in 1053, 2464, 4791, 8016, 12121, 17088, 22899? 29536 What is the next term in -1156, -4324, -9540, -16750, -25900? -36936 What is next in -2569653, -5139283, -7708915, -10278549, -12848185? -15417823 What comes next: 142835, 142844, 142851, 142850, 142835? 142800 What is next in 644, -2927, -8888, -17239, -27980, -41111? -56632 What comes next: 76823856, 76823855, 76823854, 76823853, 76823852, 76823851? 76823850 What is next in 231582, 233033, 234484? 235935 What is next in 32080950, 32080968, 32080986, 32081004? 32081022 What comes next: -451, -1583, -3487, -6175, -9659, -13951? -19063 What is next in 1877, 3876, 5935, 8060, 10257, 12532, 14891, 17340? 19885 What is next in 6853293, 6853287, 6853281, 6853275? 6853269 What comes next: -2765, -2271, -979, 1513, 5607, 11705? 20209 What is the next term in 1820209, 3640439, 5460669, 7280899, 9101129, 10921359? 12741589 What is the next term in 12946, 12992, 13124, 13384, 13814? 14456 What is the next term in 2653739, 5307476, 7961213, 10614950, 13268687, 15922424? 18576161 What comes next: -3978941, -7957887, -11936833, -15915779, -19894725? -23873671 What is the next term in 5772298, 5772301, 5772304, 5772307? 5772310 What is next in 699, 1480, 2461, 3738, 5407, 7564, 10305? 13726 What is next in 225403, 450910, 676419, 901930, 1127443, 1352958, 1578475? 1803994 What is the next term in 9171, 18100, 26705, 34824, 42295, 48956, 54645, 59200? 62459 What is next in -1351597, -2703229, -4054875, -5406541, -6758233, -8109957? -9461719 What comes next: 2786879, 5574226, 8361563, 11148884, 13936183? 16723454 What is next in -951, -4496, -8041, -11586, -15131? -18676 What is the next term in 27473239, 54946470, 82419675, 109892842, 137365959, 164839014, 192311995? 219784890 What is the next term in 364372, 364479, 364586, 364693? 364800 What is next in -1043194019, -1043194017, -1043194015, -1043194013, -1043194011? -1043194009 What is next in 13593, 94075, 300967, 693795, 1332085, 2275363, 3583155, 5314987? 7530385 What is the next term in 33297, 33867, 34435, 35001? 35565 What is next in -79130, -158155, -237200, -316271, -395374, -474515, -553700, -632935? -712226 What is the next term in 10862, 38165, 83670, 147377? 229286 What is the next term in -345960, -2767697, -9340988, -22141611, -43245344, -74727965, -118665252? -177132983 What is the next term in 104246139, 208492279, 312738419, 416984559? 521230699 What is next in 93011, 92989, 92973, 92969, 92983, 93021? 93089 What is next in -177260, -179372, -181484, -183596, -185708? -187820 What is the next term in -123748016, -123748018, -123748020? -123748022 What is the next term in 2206, 8781, 19714, 34999, 54630, 78601? 106906 What is the next term in -64932, -132345, -199758, -267171, -334584? -401997 What is the next term in -16042784, -16042794, -16042812, -16042844, -16042896, -16042974, -16043084? -16043232 What comes next: -9806, -9731, -9664, -9605, -9554, -9511? -9476 What is the next term in 991, 982, 961, 928? 883 What is the next term in -1905, -7768, -17585, -31356, -49081, -70760, -96393? -125980 What is next in 263504, 526772, 790040, 1053308, 1316576, 1579844? 1843112 What comes next: 214638, 430270, 645900, 861528, 1077154, 1292778, 1508400? 1724020 What is next in -4484, -9217, -13950, -18683? -23416 What is the next term in -9818, -12572, -15326? -18080 What comes next: 29425003, 29425019, 29425045, 29425081, 29425127, 29425183, 29425249? 29425325 What is next in -6994, -13225, -19456? -25687 What is the next term in 6766813, 13533547, 20300281, 27067015, 33833749? 40600483 What is next in -15732, -30982, -45784, -60138, -74044, -87502, -100512? -113074 What is next in -32386, -129476, -291264, -517744, -808910, -1164756? -1585276 What is the next term in 1487, 9358, 30693, 72224, 140683, 242802? 385313 What comes next: -131, -509, -1175, -2171, -3539, -5321, -7559? -10295 What is next in 67548, 52419, 11358, -68601, -200424, -397077, -671526, -1036737? -1505676 What comes ne
{ "pile_set_name": "DM Mathematics" }
(m). Let u(i) = 5*i**3 - 3*i + 2. Let j(w) = -w**3 + w. Give y*u(t) - 3*j(t). -2*t**3 - 2 Let v(l) = -2*l - 12. Let h(t) = -17. Calculate -3*h(j) + 4*v(j). -8*j + 3 Suppose 0 = -3*q + 2*t - 5, 4*q + 1 = -3*t. Let u = 24037 - 24038. Let v(k) = k - 2*k + 7 + k**2 - 4. Let p(n) = -1. What is q*p(x) + u*v(x)? -x**2 + x - 2 Let q(v) = 0 - 2*v - 3*v + 0 - 4 - 4. Let a(k) = -4*k - 7. What is -6*a(i) + 5*q(i)? -i + 2 Let h(c) = 342*c - 697. Let o be h(2). Let j(m) = -2*m + 11. Let f(y) = -y + 6. Give o*f(z) + 6*j(z). z - 12 Let r(h) = 8*h - 47 - 52 + 49. Let t be r(6). Let g(q) = 2*q. Let a(f) = f**2. Suppose 4*y - 3 = -2*c + 1, 5*c - 4 = -4*y. Calculate t*a(j) + y*g(j). -2*j**2 + 2*j Let t(q) = -22*q. Suppose 0 = -863*w + 921*w + 58. Let d(k) = k - 1. Calculate w*t(c) - d(c). 21*c + 1 Let k(b) = -1447*b**2 - 7 + 2*b - 4 - 1439*b**2 + 2881*b**2. Let q(i) = 4*i**2 - 2*i + 10. What is -6*k(z) - 7*q(z)? 2*z**2 + 2*z - 4 Let x(h) = -21*h**2 + h. Suppose 4*j - 16 = -9*k + 5*k, 3*j = 6. Let o(i) = 22*i**2 - i. What is k*o(v) + 3*x(v)? -19*v**2 + v Let j(y) = -y**2 + 1. Let o(t) = -5*t**2 + 4. Suppose 0 = -100*u - 142 + 42. What is u*o(k) + 2*j(k)? 3*k**2 - 2 Let f be (-63)/(-84) - 2/(-8). Let m(r) = r - 1. Suppose 21 = 104*q - 97*q. Let p(g) = -4*g + 5. Calculate f*p(j) + q*m(j). -j + 2 Let a(b) = -1. Let v(g) = 2*g + 4. Let i be (-2 - -26)/(-4)*(-24)/18. Suppose -d = i*d - 45. Calculate d*a(f) + v(f). 2*f - 1 Let g be 1*2*15/(-6). Let x(b) = -b - 4. Suppose -169 = -5*o - 224. Let c(a) = -2. Let f(j) = 10. Let m(k) = o*c(k) - 2*f(k). Give g*m(y) - 2*x(y). 2*y - 2 Let q(i) = -i - i - i + 3*i**3 - 5*i**3 + 1. Suppose 80*z - 78*z - 188 = 0. Let h(v) = 50*v**3 + 45*v**3 + 2*v - z*v**3. What is 3*h(g) + 2*q(g)? -g**3 + 2 Let y(g) = -14*g - 2904. Let n(v) = -5*v - 968. Give 17*n(p) - 6*y(p). -p + 968 Suppose -4*s = 5*q + 125 - 53, 0 = 3*q - s + 33. Let u(z) = 4*z**2 + 27*z + 4. Let y(a) = -10*a**2 - 68*a - 10. Give q*u(m) - 5*y(m). 2*m**2 + 16*m + 2 Let n(k) = -k**2 + 44*k - 223. Let c be n(38). Let p(b) = -41*b**3 + 2*b**2 - 2. Let h(l) = 82*l**3 - 5*l**2 + 5. Give c*p(u) + 2*h(u). -41*u**3 Let t(v) = -39481335*v**3 + 41635*v**2 - 41635*v. Let u(k) = 3793*k**3 - 4*k**2 + 4*k. Determine 4*t(d) + 41635*u(d). -3785*d**3 Let h(t) = 2*t + 2. Let v(r) = -5*r - 5. Let d(g) = -g**3 - 11*g**2 - 9*g - 4. Let u(q) = -16*q - 90. Let n be u(-5). Let i be d(n). Determine i*h(s) - 6*v(s). 2*s + 2 Let h(k) = k - 1. Let i be (-29 - -24)/((-1 - -3)*-1). Let d(u) be the first derivative of -18 - i*u**2 + 4*u. What is d(r) + 2*h(r)? -3*r + 2 Let j(z) = z**3 - z - 1. Let g(h) be the second derivative of 3*h**5/20 + 2*h**3/3 - 5*h**2/2 - 335*h. Determine g(v) - 5*j(v). -2*v**3 + 9*v Let h(u) = 7*u + 4. Let b(f) = -3*f - 2. Let n(j) = 158*j + 36. Let k be n(-9). Let a be (1/3)/(7/k*-11). Let c be (-4 + 17)/((-1)/(-1)). Give a*h(o) + c*b(o). 3*o - 2 Let q(a) = 3*a**2 - 83. Let y(t) = 2*t**2 - 55. Let s be 3 + ((-688)/68 - (-3 + (-196)/(-68))). Give s*y(m) + 5*q(m). m**2 - 30 Suppose 0 = 4*w + 16, 0 = 5*x - 2*x - 5*w - 23. Suppose 4*f + 4*s - 4 = 0, 0 = 3*f + 8*s - 3*s + 1. Let p(z) = -z + 3. Let h(r) = r. Give f*h(v) + x*p(v). 2*v + 3 Let t(p) = -4*p + 5 + 21*p - 18. Let f(d) = -4*d + 3. Suppose 0 = 70*u + 582 - 442. What is u*t(l) - 9*f(l)? 2*l - 1 Let j(i) = -14*i**2 + 353*i + 9. Let q(g) = -3*g**2 + 5*g + 1. Determine j(s) - 4*q(s). -2*s**2 + 333*s + 5 Let w(j) = -j**2 - 3*j - 2. Let y = -5733 + 5737. Let h(o) = -o**2 - 3*o - 3. What is y*h(k) - 5*w(k)? k**2 + 3*k - 2 Let h(n) = 8*n - 21. Let o(v) = 7*v - 18. Let i(w) = 6*h(w) - 7*o(w). Let a(z) be the first derivative of -1/2*z**2 + 0*z - 3. Calculate -6*a(b) + 7*i(b). -b Let f(p) = 29 - 95 + 21 + 30 - 11*p + 30. Let q(a) = 5*a - 7. What is -6*f(d) - 13*q(d)? d + 1 Let n(b) = b + 2. Let u be 5/(-2)*(-12)/(-30). Let r(k) = -13 + 4 + 10. Give u*n(z) + 2*r(z). -z Let g(b) be the first derivative of -4*b**2 - b + 1. Let d(m) = 1301*m + 35. Let f(h) = 1748*h + 47. Let c(p) = -43*d(p) + 32*f(p). Calculate 6*c(r) - 5*g(r). -2*r - 1 Let z = 419 + -423. Let b(d) = 20*d. Let v(k) = -7*k - 5*k + 7*k. What is z*b(s) - 15*v(s)? -5*s Let q(b) = -48*b**3 - 46*b**2 - 41*b - 29. Let x(o) = 12*o**3 + 12*o**2 + 11*o + 7. Determine -6*q(r) - 23*x(r). 12*r**3 - 7*r + 13 Let c(r) = -r**2 + r - 1. Suppose 5*b = 12*s - 14*s + 23, 5*b - 11 = s. Suppose -2 = -25*w + 26*w. Let k(v) = -v**2 + 2*v - 2. Calculate b*c(i) + w*k(i). -i**2 - i + 1 Let l(r) = 21*r**2 - 11*r - 1659. Let p(z) = -4*z**2 + 2*z + 331. What is -2*l(s) - 11*p(s)? 2*s**2 - 323 Let q be 1 - (-2 - -4) - (-1 + 11). Let o(j) = 53 - 27 + 2*j - 22. Let h(s) = 6*s + 11. Give q*o(c) + 4*h(c). 2*c Let j(p) = 71*p**3 + 5*p**2 + 4*p + 1. Let l(o) = -75*o**3 - 6*o**2 - 5*o. Give -6*j(i) - 5*l(i). -51*i**3 + i - 6 Let q(x) = -19957*x**2 + 19*x. Let w(s) = -24947*s**2 + 24*s. Give -14*q(y) + 11*w(y). 4981*y**2 - 2*y Suppose 147*i - 145*i = 18. Let d(h) = 8*h**2 + 11. Let q(p) = -4*p**2 - 6. Give i*q(x) + 4*d(x). -4*x**2 - 10 Let c(x) = -x + 22. Let w be c(18). Suppose -4*k + 27*m - 29*m = 4, 22 = -2*k + w*m. Let u(p) = 2*p + 2. Let d(r) = 3 + 0 + 0 + 4*r. What is k*d(t) + 5*u(t)? -2*t + 1 Let t(f) be the first derivative of f**4/4 + 3*f**2/2 + f + 1. Let c be (5 - -3) + 48 + -57. Let w(p) = p**3 + p. What is c*t(d) + 3*w(d)? 2*d**3 - 1 Let h(m) = -6*m - 3821. Let n(g) = 5*g + 3835. Calculate 4*h(w) + 5*n(w). w + 3891 Let b(a) = 34*a - 822. Let u(g) = 28*g - 818. Determine 5*b(t) - 6*u(t). 2*t + 798 Let c(z) = 474*z**3 - z - 713*z**3 + 240*z**3. Let y(q) = 2*q**3 - 3*q**2 + 2*q - 2. Calculate c(n) - y(n). -n**3 + 3*n**2 - 3*n + 2 Let s(l) = -l**3 - l**2 - 1. Let p(r) = -r**3 + r. Let b(q) = q**3 - 3*q**2 - 3*q - 2. Let i(n) = b(n) + 3*p(n). Give -i(m) + 3*s(m). -m**3 - 1 Let b(y) = 49*y + 7*y**2 - 162*y + 40*y + 46*y + 2 + 30*y. Let i(p) = -3*p**2 - 2*p - 1. Calculate -6*b(q) - 10*i(q). -12*q**2 + 2*q - 2 Let n(o) = -6*o**2 - 8*o + 8. Let j(m) = m**2 + m - 1. Suppose -531*b = -188*b + 13720. What is b*j(z) - 5*n(z)? -10*z**2 Let g(z) = -z - 3. Let f(c) = c - 1. Let v(m) = -m + 4. Suppose 32*d = 8*d - 48. Let u(t) = d*v(t) - 4*f(t). Determine 6*g(h) - 4*u(h). 2*h - 2 Let l(t) = -4*t**2 - 9*t - 291. Let f(o) = -3*o**2 - 6*o - 293. Determine -3*f(x) + 2*l(x). x**2 + 297 Let t(w) = -2*w**3 - 8*w. Let m(i) = -i**3 - 5*i. Let r = -26 - -34. Suppose 6*n - 7*n + r = 0. Suppose 15 = -1261*s + 1258*s. What is n*m(o) + s*t(o)? 2*o**3 Let i(u) = 2327*u**3 + 15*u**2 + 5. Let j(k) = 1165*k**3 + 9*k**2 + 3. Determine -3*i(w) + 5*j(w). -1156*w**3 Let u(f) = 2878*f + 6. Let k(c) = 5748*c + 14. Calculate 2*k(t) - 5*u(t). -2894*t - 2 Let j(m) = 26*m**3 + 77*m**2 + 14*m - 7. Let v(s) = 13*s**3 + 39*s**2 + 8*s - 4. Determine 4*j(d) - 7*v(d). 13*d**3 + 35*d**2 Let p(m) = 5*m**3 + 85*m**2 + 17*m + 23. Let l(i) = -14*i**3 - 241*i**2 - 51*i - 68. Determine 6*l(k) + 17*p(k). k**3 - k**2 - 17*k - 17 Let o(f) = -2*f**2 + f + 4. Let l(q) = 2*q**2 - 3. Suppose 2 = 43*t + 9 + 79. Calculate t*o(g) - 3*l(g). -2*g**2 - 2*g + 1 Let c(q) = q**3 + q**2 + 4*q + 1. Let m(i) = -222*i**3 + 7*i**2 + 8*i + 2. What is 2*c(v) - m(v)? 224*v**3 - 5*v**2 Let t = -734 + 750. Let s(w) = -978*w**2 + 1934*w**2 - 972*w**2 + 11*w + t. Let u = -13 - -2. Let q(r) = 3*r**2 - 2*r - 3. What is u*q(p) - 2*s(p)? -p**2 + 1 Let j(z) = -4653*z + 1584. Let f(d) = 195*d - 66. Calculate 143*f(o) + 6*j(o). -33*o + 66 Let p = -183 - -176. Let r(b) = -5*b + 1. Let g(c) = 10*c - 2. Let a(d) = 3*g(d) + 5*r(d). Let j(k) = 13 + 186*k - 12 - 177*k - 3. Determine p*a(f) + 4*j(f). f - 1 Let r(u) = -7*u**3 + 7*u**2 - 5*u. Let o be 259/(-49) + 6/21. Let i be (12/(-3) - o) + 2. Let x(y) = 3*y - i*y + 4*y**3 - 4*y**2 + 3*y. What is 3*r(l) + 5*x(l)? -l**3 + l**2 Let x(p) = -p + 3. Let q(j) = -9*j. Let k(l) = 5*l. Let w(s) = -11*k(s) - 6*q(s). Let d be (-20 - 1 - -12) + 10. What is d*x(b) - 2*w(b)? b + 3 Let h(c) = 7*c. Suppose 0 = 956*q - 938*q - 36. Let w(r) = -r**2. Determine q*w(m) + h(m). -2*m**2 + 7*m Let o(j) = 0 + 2 + 0 - 1. Suppose 17*m - 28 = 3*m. Let b be (m/(-10))/((-6)/(-30)). Let q(f) = -2*f - 5. What is b*q(p) - 2*o(p)? 2*p + 3 Let r(x) = 21*x - 1. Let h(l) = -20*l + 1. Let o(s) = 2*s**2 - 31*s - 187. Let m be o(20). What is m*h(g) - 6*r(g)? 14*g - 1 Let i(m) = -86*m
{ "pile_set_name": "DM Mathematics" }
*2 - 3*n + 4. Let u be k(2). Let z be -34 + -1 + (-14)/7. Let q = -33 - z. Solve 4*a - a + 2*s = u, -q*a - 20 = -3*s for a. -2 Suppose 4*v - 5 = -9. Let l be (-2)/(-2)*3 + v. Suppose -8 = -0*i - l*i. Solve 3*o + 9 = -2*p + 1, 0 = p + i*o + 9 for p. -1 Let y be ((-75)/(-10)*2/12)/((-8)/(-96)). Solve 2*w = 4*l - 6, -12*l - 21 = -4*w - y*l for w. 3 Let p = 123 - 118. Let c be 2/3 + (-5)/(45/6). Solve c*m - j = -2*m + 2, 5*m - 3*j = p for m. 1 Suppose 5*s = 9*s - 12. Suppose 0 = 5*q - 23 - 67. Suppose 0 = -20*y + q*y + 26. Solve -5*d - 32 = -s*k - k, k + 4*d + y = 0 for k. 3 Suppose -l = -4, 5*h + 3*l - 4 = 5*l + 2*l. Let i(f) = 24*f**2 + f - 1. Let d be i(1). Solve 0 = -5*p - 3*a + d, a + a = h*p - 6 for p. 3 Let c be (-22)/((-704)/(-168))*320/(-30). Solve 0 = -53*z + c*z - 2*p + 15, 6 = -z + p for z. -3 Let z(w) = 3*w + 84. Let a be z(0). Let f = -96 + a. Let t be 35/(-14)*-1*f/(-15). Solve 2*m = -5*o + 10, o - 2*o = m - t for m. 0 Suppose 0 = 3*a - 17 + 2, -4*t = -a - 43. Solve 5*k - t = -u, -u + 2*k = 8 + 1 for u. -3 Let p = 1682 - 1679. Solve 4*i + 3 = -5*o, -p*i - 16 = 5*o - 15 for o. 1 Let w(s) = 10*s**2 + 322*s - 251. Let h be w(-33). Solve 0 = -2*j - 3*r + 12, 12*j - h*j + 9 = 3*r for j. 3 Let m = -73 - -77. Let i = -68 - -75. Let u be 4/i*42/m. Solve 3*v = 6, -q - 2 = 3*v - u for q. -2 Let v = -89 + 115. Suppose -23*u = -v*u + 36. Solve -u = -4*k + a, -k - 4*k + 15 = -2*a for k. 3 Let o(a) = -280*a + 6722. Let t be o(24). Solve -t*v = -2*s - 6, 4*s = -s + 3*v - 19 for s. -5 Let r = -51 + 177. Let o = r - 124. Solve -2 = q, -o = -4*h + 2*q - q for h. 0 Let x = -2739 - -2742. Solve x*u - 25 = -6*k + 2*k, 3*u = -2*k + 17 for k. 4 Let i(q) be the second derivative of q**4/12 + 8*q**3/3 + 3*q**2/2 + 3*q. Let l = 594 + -610. Let c be i(l). Solve -3*j = 4 + 5, -c*p = j for p. 1 Suppose 2*c - 5*z = -0*c - 15, 3*z = -3*c + 9. Suppose 78*w - 162*w + 58*w = 0. Solve 3*m + 2*g - 17 = c, -2*g = -w - 2 for m. 5 Suppose -4*c + 3 + 1 = 2*t, 0 = 5*t - 5*c - 55. Suppose 230*x + 35340 - 36260 = 0. Solve 0 = -4*h + z - 17, -3*h - h + x*z - t = 0 for h. -5 Suppose 92 + 106 = 18*n. Suppose -15*z - n*z = -26. Solve 4*d + m = 1 + 6, 2*d - z = -m for d. 3 Let i be (-1 - 1)*(0 + -1). Suppose 3*t = 2*t - 2*k - 2, -4*t - 3*k = 13. Let m be (-15)/12*t - 0/(-2). Solve -l = 3*w + 2*w + 1, -i*l - 2 = m*w for l. -1 Suppose 2*a = 4*f - 26, 4*a - 20*f + 43 = -15*f. Let u(l) = -3*l**2 - 19*l + 14. Let w be u(a). Solve w = -0*i + i + 3*r - 13, i + 11 = 3*r for i. 1 Suppose 7234 + 2072 = 47*x. Let i = x - 181. Solve -4*k = -4*c - 3 - i, -3*c + k - 7 = 0 for c. -1 Let z(y) = -18*y + 128. Let v be z(7). Suppose -v = o - 7. Solve -p + 2*p - o*a + 3 = 0, p = a + 1 for p. 2 Let z(q) = q**3 - 12*q**2 + 11*q + 5. Let d be z(11). Suppose -5*m - d*a + 5 = 0, -4*a + 8 = 4*m - a. Solve -5*i - 1 = -3*n - 3, -3*i + 14 = -m*n for i. -2 Let s = 5972 + -5971. Solve -4*u - 2*b = 16, 4*u - 5*u - 3*b = -s for u. -5 Let o(v) = 3*v**2 + 220*v + 1572. Let n be o(-8). Solve 19*i = -n*b + 21*i + 14, 4*b = 5*i + 23 for b. 2 Let s = -13 + 25. Let x = 775 + -771. Suppose 8 = x*v - s. Solve 0 = -u + 4*u + 5*b - 28, -26 = -u - v*b for u. 1 Let v = 3280 - 3278. Solve 3*b - v*n = -2, 3*b + 0*b + 3*n - 3 = 0 for b. 0 Let x = -68 + 64. Let l be (1 - 5) + (-51 - -5). Let g be ((-12)/(-15))/1*l/x. Solve -5*r = -2*h - g, 3*h + 0*h + 15 = 4*r for h. -5 Let c = -393 + 501. Let k = c + -105. Solve 5*z - 5 = -k*m, m - 1 = -4*z + 2*z for m. 5 Let y(q) = 6*q**3 + q**2 + q - 3. Let t be y(1). Suppose -t*s + 25 = 5*r, -5*r + 15 = -3*s - 2. Solve -r*c - 5 + 0 = 3*n, -5*c = -n + 11 for n. 1 Suppose 1227 = -36*x + 3183 + 2184. Solve x - 121 = 2*y - 2*d, -6 = -2*d for y. 0 Suppose 206*t - 204*t = -2*c + 20, -22 = -5*c - t. Solve c*b - 12 = h, h - 19 = -5*b + 9 for b. 5 Suppose 5*a - 1091 + 976 = 5*z, -a + 11 = -3*z. Let h = 12 - 5. Solve a = l + 4*l - 2*b, -4*b = 3*l - h for l. 5 Let b(v) = -v**2 + 344*v - 1358. Let r be b(4). Solve -r*s - 7 = -3, -s = z for z. 2 Suppose -3581*l + 3658*l = 231. Solve -4 = l*r - 6*a + 7*a, -r + 2*a = -1 for r. -1 Let z(k) = 3*k**3 + 17*k**2 - 14*k - 24. Let b be z(-6). Solve -3*y + 4*y - 2*v + 9 = 0, 4*y + b = 2*v for y. -5 Let p be (-1041)/(-4) - (105/(-28) + 3). Let j = p + -258. Solve -2*a - 2 = -a + d, 2*d = j*a - 19 for a. 3 Let a(m) = m**3 - 3*m**2 - 2*m + 8. Let j be a(3). Let q be 0 - (j - (4 + 0)). Solve z = -q*p - 10, p + 6 = -p for z. -4 Suppose 2*v + 6 = 4*v. Suppose c + 16 = 3*a + 2, c = -v*a + 10. Solve 5*b + 37 = -5*h + 7, -15 = -5*h + a*b for h. -1 Suppose s + q = -11 + 12, 3*q = -2*s + 1. Solve g + 2*z - 15 + 7 = 0, -5*g - s*z = -16 for g. 2 Suppose 9*q - 6 = 6*q. Suppose q*f = 4, 0 = a + 2*f + 3 + 1. Let i(m) = -5*m - 37. Let z be i(a). Solve 2*d = 3*d + z*n - 13, -n = 5*d - 9 for d. 1 Suppose -3*o + 16 = o. Let n = o + -4. Let u = -4726 + 4728. Solve 0 = j + u*j + 3*v - 12, n = -4*j + v + 6 for j. 2 Let a be 7/((-28)/12) + 10 + -5. Let q be (3 - (-2)/a)/((-20)/(-25)). Solve -5*u - 7 = -2*i + q, 0 = i - 5*u - 16 for i. -4 Let w(m) = -2*m**2 + 49*m - 145. Let x be w(21). Solve -4*i + 4 - 23 = -y, -2*y - x*i - 12 = 0 for y. -1 Suppose y + 5*o + 6 = -5, -2*y = 4*o + 4. Solve 12*f - 4*h = 10*f - 22, 3*f + y*h = 7 for f. -3 Let i = -168 + 37. Let y = -502 - -373. Let n = y - i. Solve -5*p - n*l + 0*l = -24, 4*p = -5*l + 26 for p. 4 Let x(s) = -2*s**2 - 87*s - 40. Let v be x(-43). Solve v = -3*l - 4*j + 5*j, 0 = -2*j for l. -1 Let m = -76 + 147. Let f = 75 - m. Solve f*z = 2*n + 10, 0 = z - 3*n + n - 4 for z. 2 Suppose 0 = -16*l + 13*l + 36. Suppose 0 = 19*v - 15*v - l. Solve -4*s = -2*i + 3*i - 3, 0 = -v*s + i - 3 for s. 0 Suppose 5*t - 16 = 2*d + 9, 4*t + 4*d + 8 = 0. Suppose -4*z = -7*z + 3. Let k be (4 + -2 - z)*3. Solve k*q = -4*l - 1 - 3, t*q = l - 14 for q. -4 Let w = 209 + -205. Let s = -12 - -4. Let j be (s + -3)/((-2)/4). Solve r - j = 5*b, w*r - 2*b + 7 = -b for r. -3 Suppose -s - 5 = -2*k, 4*k + 4*s + 20 = 2*k. Suppose k = 46*q - 48*q. Solve z + 3*z + u + 18 = 0, q = -5*u - 10 for z. -4 Suppose 3*b = -p - 2*p - 69, -3*p - 4*b = 67. Suppose 0 = -4*x - 75 + 155. Let u be x/p*(-25)/10. Solve -3*n + u = 3*l - 1, 5*n - 21 = -l for n. 5 Let q(m) = -m**2 + 35*m - 279. Let n be q(14). Solve -4*u - n = -o - 6*u, -o - u + 10 = 0 for o. 5 Suppose -24 = -33*s + 75. Suppose -3*h + 16 = -h. Solve -s = 2*w - 5*m - h, 0 = -5*w + 3*m - 16 for w. -5 Suppose 4*n = n + 156. Suppose 4*t = -n + 72. Solve -4*f - 45 + 10 = 3*v, 3*v = -t*f - 40 for v. -5 Suppose -114 + 70 = -44*l + 176. Solve -s - l*q - 2 - 3 = 0, -s + 4 = -4*q for s. 0 Let k(d) = d**3 + 7*d**2 - 11*d - 5. Let n be k(-8). Let b = n + -16. Let w(g) = -g**2 - 6*g + 9. Let f be w(-7). Solve -2*i - 5*x = -f + 11, -b = i + x for i. -2 Suppose -247*v - 54 = -4006. Solve 4*w + 4*x = -v, 3*x = -w - 14 - 0 for w. 1 Let j(b) = 150*b + 8. Let n be j(-1). Let f = -147 - n. Let v(y) = -y**3 - 6*y**2 - 6*y + 13. Let i be v(f). Solve 3*k + 2*u + u = -i, -25 = 5*u for k. -1 Let w(b) = -2*b**2 - b + 239. Let k be w(0). Let z = 250 - k. Solve -4*l - 18 = 3*v - 2, -3*l = 2*v + z for v. -4 Suppose 4*j + 535 = 5*g, -4*j = 4*g - 3*g - 107. Suppose 10 = g*b - 102*b. Solve 8 = 2*o - z, 0 = 5*o + 3*z - b*z - 27 for o. 5 Let o(l) = 11*l - 29*l - 22 + 14*l. Let i be o(-9). Suppose m = -11 + i. Solve 2*x = -4*c + 3*x + 13, m*x = -3 for c. 3 Suppose -254*z - 26*z = -2892 - 748. Solve d - z = 2*u, 4*d - 30 + 18 = -2*u for u. -4 Let c(q) = 3*q**3 - 15*q**2 + 3*q - 117. Let z be c(6). Let h be (-2)/(-12) + 105/18. Solve -3*i + z = 0, -h*b - i = -4*b - 9 for b. 3 Suppose 4*s + 410 = 14*s. Let y = -31 + s. Let v be 16/y + (-36)/(-90). Solve o + 11 = v*n - 4*n, -n - 2 = -3*o for o. -1 Let x be (7 - (7 - 1))/(1/31). Suppose -2*t + x - 27 = 0. Solve 3*d + 5*i = 28, -3 = 5*d - t*i + 2 for d. 1 Let z be (1463/21)/11 - (-17)/(-51). Solve -3*g = -l + z, 4*g + 2*l - 3 = g for g. -1 Let o = 33591 + -33585. Solve o = i + 1, 4*f + i = 5 for f. 0 Let r = 654 - 750. Let n be (r/46 + 42/483)*-2. Solve 2*v - b = 5, v = -v + 2*b + n for v. 3 Suppose 109*h + 41 = 148*h - 37. Solve h*d + 0 = 2*n + 6, -3*d + n = -9 for d. 3 Suppose 4*x - 320 = -4*g, x + 4*g = 226 - 128. Solve 4*n - 10 = 5*a, x*n = 75*n for a. -2 Suppose 2*w = -4*t + 22, 3*t + 25 - 49 = -4*w. Suppose -136
{ "pile_set_name": "DM Mathematics" }
*k + 8. Let w(x) = -x**5 + x**4 + x**3 - x - 1. Let m(j) = -8*w(j) - y(j). What is the second derivative of m(g) wrt g? -40*g**3 Let c = -9 - -14. What is the first derivative of t - 3*t - 3 - 2*t + c*t wrt t? 1 Let n(c) be the third derivative of c**8/12 - c**5/6 - 25*c**2. Find the third derivative of n(q) wrt q. 1680*q**2 Find the third derivative of -15*n**2 - 29*n**3 + 25*n**2 - 23*n**3 + 24*n**2 wrt n. -312 Let z(l) = -8*l**3 + 4*l**2 - 58*l - 6. Let u(g) = 15*g**3 - 9*g**2 + 116*g + 11. Let y(b) = 6*u(b) + 11*z(b). What is the second derivative of y(f) wrt f? 12*f - 20 Let t be (1/1)/(-1) - -1. Suppose -g + 2 - 1 = t. Differentiate -g + s + s + 0*s with respect to s. 2 Find the third derivative of 38*v**4 + 13*v**6 + 5*v**6 - 17*v**2 - 38*v**4 wrt v. 2160*v**3 Let f be 7/4 + (-4)/(-16). What is the second derivative of -f + 3*x - 3*x**2 + 2 wrt x? -6 Let z(m) be the third derivative of -m**7/30 + m**4/8 - 5*m**2. Find the second derivative of z(y) wrt y. -84*y**2 Let w(j) be the second derivative of -j**5/2 + 2*j**3/3 + 15*j. What is the second derivative of w(d) wrt d? -60*d Let a(v) be the third derivative of 19*v**4/24 + 4*v**3/3 - 14*v**2. Differentiate a(j) wrt j. 19 Let i(m) be the second derivative of m**7/70 + m**4/8 + 2*m**2 + 3*m. Let z(g) be the first derivative of i(g). Find the second derivative of z(v) wrt v. 36*v**2 Let z(n) be the second derivative of -n**7/21 - 2*n**4/3 - 9*n. Find the third derivative of z(p) wrt p. -120*p**2 Let i(c) = -24*c**2 + 33. Let r(a) = -12*a**2 + 16. Let o(u) = -3*i(u) + 7*r(u). Differentiate o(f) wrt f. -24*f Let w(y) = 2*y**2 + 5*y - 5. Let z(a) = -3*a**2 - 6*a + 5. Let d(u) = 6*w(u) + 5*z(u). Differentiate d(r) with respect to r. -6*r Find the third derivative of -65*j**3 + 27*j**3 + 18*j**3 + 41*j**2 + 26*j**2 wrt j. -120 Let y(i) = 21*i**3 + 6*i**2 - i + 6. Let o(q) = -41*q**3 - 11*q**2 + q - 11. Let c(v) = 6*o(v) + 11*y(v). What is the second derivative of c(r) wrt r? -90*r Let i(d) be the first derivative of 4 + 7/3*d**3 + 7*d + 0*d**2. What is the first derivative of i(g) wrt g? 14*g Suppose -4*l = -3*w + 75, w + 4*w - 3*l = 125. Suppose 2*b = 7*b - w. Find the first derivative of 7*h - 2 + 1 - b*h wrt h. 2 Find the third derivative of 17*l**4 - 23*l**3 + 4 - 4 + 26*l**3 - 25*l**2 wrt l. 408*l + 18 Let u be 75/(-12) - (-1)/4. Let f = u - -9. Find the third derivative of 2*i**2 - f*i**2 - i**2 + i**3 wrt i. 6 Suppose c + 1 + 4 = 0. Let o = c + 8. Find the third derivative of -a**2 - 3*a**o - 2*a**3 + 3*a**3 wrt a. -12 Let g(h) be the third derivative of 5*h**8/336 + 5*h**4/24 - 2*h**2. What is the second derivative of g(y) wrt y? 100*y**3 Let f(b) = 5*b**3 - 2*b**2 + 1. Let w be f(1). Suppose -p + 5 = 0, 0 = w*u + 3*p + 2*p - 33. Find the second derivative of -5*n - n**2 + n + u*n wrt n. -2 What is the first derivative of -1 - 2*v**2 - 1 - 5 - 1 wrt v? -4*v Let c(s) be the third derivative of -s**7/10 + 9*s**4/8 + 33*s**2. Find the second derivative of c(f) wrt f. -252*f**2 Let y(k) be the first derivative of -2*k**6/15 + 7*k**4/12 - 4*k - 7. Let c(x) be the first derivative of y(x). Find the third derivative of c(p) wrt p. -96*p Find the second derivative of -2*z - 24 + z + 157*z**3 - 156*z**3 - 34*z**2 wrt z. 6*z - 68 Let x(a) = -2*a - 4. Let i be x(-3). Suppose -4 - 6 = -i*q. What is the third derivative of -m**5 + m**2 - 3*m**q + 5*m**5 wrt m? 60*m**2 Let b(f) be the first derivative of 26*f**6/3 - 3*f**2/2 + 11*f - 31. What is the second derivative of b(d) wrt d? 1040*d**3 Let t = -22 + 26. Find the second derivative of -f - f + 4*f - t*f**5 + 6*f wrt f. -80*f**3 Let s(b) be the first derivative of -b**5/5 - 28*b + 27. What is the first derivative of s(a) wrt a? -4*a**3 Let k(b) be the second derivative of -b**5/120 + b**4/24 - b**3/6 - 3*b. Let r(a) be the second derivative of k(a). Find the first derivative of r(o) wrt o. -1 Differentiate 25*n**3 + 8 - 26 - 13 wrt n. 75*n**2 Let k(n) = 3*n + n + n**3 + 7*n**3. Let t(s) = 17*s**3 + 9*s. Let j(b) = 13*k(b) - 6*t(b). Find the second derivative of j(q) wrt q. 12*q Let t(c) = c**2 + c - 1. Let q(w) = -12*w**2 - 22*w + 14. Let o(m) = -2*q(m) - 44*t(m). What is the derivative of o(n) wrt n? -40*n Let o(q) be the second derivative of 0*q**5 + 5/12*q**4 - 9*q + 0*q**2 + 0 - 1/5*q**6 + 0*q**3. Find the third derivative of o(w) wrt w. -144*w Let o(k) = -k + 1. Let f be o(-2). What is the third derivative of 2*d**6 + d**6 - f*d**2 + 2*d**6 wrt d? 600*d**3 Let w = 1 + 4. What is the first derivative of w*l + 1 - 5 - l wrt l? 4 Let h(j) be the first derivative of 0*j**3 + 0*j + 1/4*j**4 - 1/2*j**2 - 3. What is the second derivative of h(f) wrt f? 6*f Suppose -3*q + 4*q = t + 7, -t - 5 = -3*q. Let u = t - -10. What is the second derivative of -5*r**u + 4*r**2 + 5*r**2 - 5*r**2 - 2*r wrt r? -2 Let z(t) be the third derivative of 0*t**3 + 5/24*t**4 - 1/24*t**6 + 0*t**5 + 0*t - t**2 + 0. What is the second derivative of z(s) wrt s? -30*s Let x(b) = 3*b + 4*b**2 - 4*b**2 + 3*b**3. Let z(l) = -3 - 252*l + 3 + 253*l. Let u(m) = x(m) - z(m). Find the second derivative of u(n) wrt n. 18*n What is the second derivative of 2 - 2 + 6*v**3 + v**3 + 7*v wrt v? 42*v Let u(m) be the first derivative of -5*m**3/3 - 4*m**2 - 18. What is the second derivative of u(r) wrt r? -10 Let o = -22 - -24. What is the third derivative of 7*m**5 - 9*m**2 - o*m**5 + 6*m**2 wrt m? 300*m**2 Let z(m) be the third derivative of -3*m**2 + 0 + 0*m**3 - 1/12*m**4 + 0*m - 1/30*m**5. What is the second derivative of z(v) wrt v? -4 What is the second derivative of 17*d - 10*d + 6 - 5*d - 4*d**4 + 32*d**4 wrt d? 336*d**2 Find the third derivative of 4 - 27*o**2 - 42*o**3 + 6*o**3 - 5 - 7*o**3 wrt o. -258 Differentiate -2*l**2 - 5*l**2 + 381 - 358 wrt l. -14*l Suppose -a = 3*a. Suppose -p + 2*p - 3 = a. What is the second derivative of -p*x**4 + x + 2*x**4 + x wrt x? -12*x**2 Suppose 4*r = -7 + 27. What is the derivative of 5*v + r - 3*v - 14 + 2*v wrt v? 4 Differentiate 7 + 30*z + 0 - 19 - 16 with respect to z. 30 Let v(t) = -t**2 - 10*t + 2. Let i be v(-10). Suppose 3*r - 5*q - 37 = 0, 5*r - 6*q = -i*q + 40. Differentiate 1 + 8*o**2 + 2 - r*o**2 with respect to o. 8*o Let k(n) be the second derivative of -7*n**4/12 - 3*n**3/2 + 3*n. What is the second derivative of k(y) wrt y? -14 Let m(w) be the third derivative of w**6/20 + 7*w**5/60 + 31*w**3/6 + 10*w**2. What is the derivative of m(s) wrt s? 18*s**2 + 14*s Let m = -8 - -11. Find the second derivative of x + x**m + 0*x - x - x wrt x. 6*x Let y(q) be the second derivative of 0 + 0*q**4 + 0*q**5 + q**2 + 0*q**3 - q + 1/10*q**6. What is the derivative of y(u) wrt u? 12*u**3 Suppose 3*m - d - 19 + 6 = 0, -19 = -m + 4*d. What is the second derivative of -11*z + m*z**3 + 8*z + 10*z wrt z? 18*z Let u(r) be the second derivative of -r**9/3024 - r**7/280 - 2*r**4/3 - 7*r. Let m(l) be the third derivative of u(l). Find the third derivative of m(w) wrt w. -120*w Let v(f) be the third derivative of -2*f**7/105 + f**6/60 + 2*f**4 + 18*f**2. Find the second derivative of v(i) wrt i. -48*i**2 + 12*i Let h(i) = -i + 4. Let t be h(-4). Let f = -5 + t. Find the first derivative of -6 - 3*a**2 + f*a**2 + 9 - a**3 wrt a. -3*a**2 Let t(u) = -9*u**4 - 8*u**2 + 2*u - 2. Let g(j) = 45*j**4 + 39*j**2 - 11*j + 11. Let s(a) = -2*g(a) - 11*t(a). Find the third derivative of s(x) wrt x. 216*x Let q(b) be the second derivative of -4*b + 3/20*b**5 - 5/6*b**3 + 0*b**4 + 0 + 0*b**2. Find the second derivative of q(x) wrt x. 18*x Let o(f) be the second derivative of f**7/630 + f**5/30 + f**4/4 - 5*f. Let c(g) be the third derivative of o(g). Find the first derivative of c(y) wrt y. 8*y Let v = -8 - -8. Let w(g) be the third derivative of -1/3*g**3 + 0*g + 0*g**4 + v + 1/60*g**5 + g**2. Differentiate w(s) wrt s. 2*s Let m be 0 + -1 + 2 + 1. Find the third derivative of m*d**2 - 20*d**3 + 17*d**3 - 2*d + 2*d wrt d. -18 Let y(n) be the first derivative of -10*n**3/3 + 4*n**2 - 17. What is the second derivative of y(c) wrt c? -20 What is the second derivative of -x**2 + 2*x**2 - 3*x**2 - 3*x wrt x? -4 Let o(z) be the third derivative of 0 + 2/3*z**3 + z**2 + 0*z + 1/12*z**4. Differentiate o(d) wrt d. 2 Let b(d) be the third derivative of -d**6/40 - d**3/3 - 2*d*
{ "pile_set_name": "DM Mathematics" }
*f**(-4/9)) assuming f is positive. f**(95831/15624) Simplify (a**(2/13)/a*a**(-5))**34*((a/(a*a/(a*a**(-1/4)/a)))/a)**28*(a*a**(1/4)/a*a)/(a/((a/a**0)/a)) assuming a is positive. a**(-13599/52) Simplify (n/((n*(n/(n*n/n**(-1)*n)*n)/n)/n)*n)**(-4/11)*n**(1/10)/n**(-1/5)*n**(-3)/(n*n**(-4/7))*(n/(n/((n**7/n)/n)))/n**(-2) assuming n is positive. n**(1581/770) Simplify (t/(t/t**(-3/16)))/(t**(-9/4)*t)*t**31/(t*(t*t**(-1/19))/t) assuming t is positive. t**(9459/304) Simplify (y/(y**23*y)*y)**(-2/77)*(y**(-3))**30 assuming y is positive. y**(-626/7) Simplify (h/h**(-2/5)*h*((h*h**5)/h)/h*h**(-4)/h**4)/(h**(-2)*h**1)**(-11) assuming h is positive. h**(-63/5) Simplify (((v/v**(-1))/(v*v*v**(-8/5)))/(v**(-1))**(-2/37))/((v**1)**(7/5)/((v**(-4)/v)/(v*v**(2/9)))) assuming v is positive. v**(-10117/1665) Simplify ((((c**14)**4)**(2/27))**24)**(2/131) assuming c is positive. c**(1792/1179) Simplify (q/(q*q**(2/9))*q)/q*q*q**(2/13)*(q/q**(-2/7))**(3/2)*(q/q**(-4)*q*q**0)**12 assuming q is positive. q**(122621/1638) Simplify (u**1)**(-4)/(u*(u/(u**0/u))/u*u)**(-41)*((u/(u/(u/(u*(u*u/u**(-2/19))/u))))/((u/u**(5/3))/u*u))**(-1/2) assuming u is positive. u**(13591/114) Simplify (((w**(1/2))**32/(w**(-8)/(w**3/w)))**(2/27))**(-7/3) assuming w is positive. w**(-364/81) Simplify (k*k/((k/(k*k**(-8)))/k))/(k*k**7)*k**(1/7)*k*k**8/k*k*(k/k**1)**(-16/7)/((k/(k**2*k))/k*k/(k**8*k)) assuming k is positive. k**(50/7) Simplify (((v/((v*v/(v/v**(-7)*v))/v))/(v**(2/21)/v*v))/((v**(1/5)*v)/v)**(-3/8))/(v**(1/9)*v*(v*v**(-2/7))/v*v*v/v**(-2/23)*v**(-5)) assuming v is positive. v**(641467/57960) Simplify ((((c/c**(-2))/c)**(-5)/(c/((c*c/(c*c**2*c))/c))**9)**(-29))**(-18/13) assuming c is positive. c**(-24012/13) Simplify ((v/(v/(v**(2/9)*v))*v)/v)/((v**33/v)/v)*(v/v**(-26/5))**(-35) assuming v is positive. v**(-2221/9) Simplify (((h/h**(1/5))/h*h*h**(4/3)*h**(1/3)*h*h**(-3))**(-2/39))**(-25) assuming h is positive. h**(70/117) Simplify (((n/n**(4/3))/n)/n**(-3))**28*(n*n*n**6*n*n**(-1))**8 assuming n is positive. n**(332/3) Simplify ((t**(4/9)*t**(2/13))/(t**(2/21)*t**(11/5)))**31 assuming t is positive. t**(-215419/4095) Simplify ((d*d*d*d**(-3/26)/d)**(21/4)*(d/d**36)/(d*(d*(d*d*d*d**3)/d*d)/d))**(-1/21) assuming d is positive. d**(159/104) Simplify (((r*r**1)/r)**(1/19)*(r/r**(-2/5))**(-19))/(r**(-1)*r*r**(1/10)*r)**(-2/7) assuming r is positive. r**(-3489/133) Simplify (j**(-4/7)*j)/(j*j**(-3/4))*j*j*j**2*j/((j/((j*j*j**(-4))/j*j))/j)*(j**1)**(-2/35)*j**(-5)/j**4 assuming j is positive. j**(-823/140) Simplify (h**(2/45)/(h/((h/(((h**28/h)/h)/h)*h)/h*h)))/(h**24*h/(h*h*h*h/(h*h**(2/11)))) assuming h is positive. h**(-22838/495) Simplify (((o/(((o**(-2/43)*o)/o)/o))/(o**(2/19)/o))/((o*o**(2/33)*o)/o*o*o**11))**6 assuming o is positive. o**(-545656/8987) Simplify ((v**25/(v/(v*v**(1/3))))/(v**(9/2))**(33/5))**(-3/25) assuming v is positive. v**(131/250) Simplify (((h*h/(h/(h*h**(2/3)/h))*h)/h)/h**(2/27)*(h**2)**(1/4))**48 assuming h is positive. h**(904/9) Simplify (g**9*(g*g**(4/5)*g)/g*g)**(-2/53)*(g**0)**(-2)/((g/((g**(-2/3)/g*g)/g*g)*g)/g)**(8/5) assuming g is positive. g**(-2474/795) Simplify ((a**(-4/15))**(-1/6)*(a**(-4/11)*a)/(a/(a*a/(a*a/(a*((a/(a**(2/43)/a))/a)/a))*a)))**(-29/3) assuming a is positive. a**(-1008794/63855) Simplify ((o**(-2/5)/o*o/(o**5*o*o*o)*o)/(o**4/((o*o**(4/3))/o*o)))/(o*o**4*(o**(-4/5)*o)/o)**(-2/127) assuming o is positive. o**(-17146/1905) Simplify (u**(-2)/((u*(u**(2/3)*u)/u)/u*u))/(u**(-2/3))**(2/63)*((u/(u**(1/2)*u*u))/u*u*(u/(u/u**6))/u)/(u*u**4*u**(2/17)) assuming u is positive. u**(-33821/6426) Simplify (c*c**(-2/5))/(c/(c/(c/(c*c**(2/5))))*c)*c**(-4)/c*c/((c/(c**(-3)*c))/c*c)*((c*c**(-1))**(-2/13))**29 assuming c is positive. c**(-7) Simplify ((f*f*f/f**(2/7)*f*f)**(-50)*(f*f/(f/(((f/f**4*f*f)/f)/f)*f)*f*f)**24)**40 assuming f is positive. f**(-72720/7) Simplify (l*l**(-14)*(l/(l/(l*l**(-12))))/l)**(-2/5)*(((l**(-7)*l)/l)/(l*l**(-10)/l))**(2/119) assuming l is positive. l**(1196/119) Simplify (((p**(-16)/p*(p*p*p**(10/3)*p)/p)/((p*p/(p/(p/(p*(p**(-1/2)*p)/p))))/p**(7/5)))**13)**(1/14) assuming p is positive. p**(-4589/420) Simplify w**5*w**(1/8)/w*(w/(w/(w*w**0)))**23*(w**(2/3))**(1/23)/(w/w**(-2/15)*w**(3/8)*w*w) assuming w is positive. w**(10877/460) Simplify ((a**(-27/5)*a)/(a*(a/(a**(1/25)*a))/a)*(a*a**(-1/9))/(a/(((a*a**19)/a)/a)))**8 assuming a is positive. a**(24352/225) Simplify ((c**(-9)*c*c*c**(-23))/(c**(-1/3)*c*c*(c/c**(11/2))/c))**(12/5) assuming c is positive. c**(-314/5) Simplify (p*p*p/(p*p**(2/3)*p)*p)**(-26)/(p/(p*(p*p*p**0)/p)*p*p*p**(2/3))*(p*p**1)**(-34)*(p/p**(-2/3))/p**1 assuming p is positive. p**(-311/3) Simplify (((h*h**(1/13)/h*h*h**(5/3))/(((h/h**(2/31))/h)/h**(-1/5)))**47)**16 assuming h is positive. h**(11856032/6045) Simplify (h**(-1/13))**(-7/6)*(h*h/h**(-39))/(h*h*h/h**(-34)) assuming h is positive. h**(319/78) Simplify ((d/d**(-3/8))/(d*(d/(d/((d/(d**(-1)/d))/d)))/d*d))**(2/35)*((d**(-6)*d)/d**(-4))**13 assuming d is positive. d**(-1833/140) Simplify (q**5*q*q*q**(-10)*q)**(23/5)/(q**(2/9)/q**8*q**(2/11)/q**3) assuming q is positive. q**(691/495) Simplify (((d*(d/d**(2/7))/d)/d)**4/((d*d/((d/(d**0/d))/d*d))/d)**(2/57))/((d/(d/(d*d**(-2/7))*d))**(-32)/(d**2/(d/d**(2/11)))) assuming d is positive. d**(-39803/4389) Simplify ((m/(m*m/m**(2/3)))/(m**3*m))/(((m**(-1)/m)/m)/m*m)**(-16/5)*(m/(m*m/m**(1/2)))**(-3/8)*m**(-3)/m**5 assuming m is positive. m**(-5219/240) Simplify ((((g**(-1))**16)**(-2/11))**(-1/2))**(-11/4) assuming g is positive. g**4 Simplify ((l*l**2/l*l*l)**18*(l/l**(-5))/(l**(-4/11)*l))**(-9/7) assuming l is positive. l**(-7659/77) Simplify ((j*((j**(-1/9)/j)/j)/j*j*j)/(j**(2/43)*j)*j/j**(-11)*(j/(j/(j/j**(2/9))))/j)**(-45) assuming j is positive. j**(-20550/43) Simplify ((l**(-7))**(-1/2)/(l*l/l**(-2/11)*l)**(-1/69))**(-28) assuming l is positive. l**(-75362/759) Simplify ((m**(2/5)/m)/(m/m**(4/5))*(m**(-3)*m)/m**(-5))/((m/((m*(m*m**(-1)*m)/m)/m*m))**18/(m**(1/3))**(-35)) assuming m is positive. m**(-142/15) Simplify ((p**23*p*p*p)/(p**(1/10)/p))/((p/(p*p**8))/(p**(-45)/p)) assuming p is positive. p**(-111/10) Simplify (z/z**(2/9))/(z/(z*z/(z*z**(-2/65))*z))*(z/(z*z**(-1/9)/z))/z*z*z*z**(8/11) assuming z is positive. z**(29903/6435) Simplify ((x**(-42)/(x**(-3/23)*x))/((x*(x**(1/16)/x)/x*x)/(x/(x*x**(-3/25)))))**(32/3) assuming x is positive. x**(-787742/1725) Simplify (l**(-3/5)/l*l**(4/7)*(l**(1/3))**34)**(-13) assuming l is positive. l**(-14066/105) Simplify (w**18*w**(-14)*w*w**(-1/3)/w*(w*w*w**(-10))/w)**32 assuming w is positive. w**(-512/3) Simplify (b**(-21)/b*b/b**(-18)*(b**(-19)/b)/b**(-1/10))**(-6/19) assuming b is positive. b**(687/95) Simplify ((j**(-1))**(12/13)*(j*j/(j*j*j**(-2/11)))/j**(-3))/((j**(2/7)/j)**40)**(-4/15) assuming j is positive. j**(-16097/3003) Simplify ((c**(-1))**(8/13))**(-15)/((c/(c*c**2*c))**28)**(-27) assuming c is positive. c**(-29364/13) Simplify (((l/((l*l/l**(-17))/l))/l)**21/((l/(l**(-10)*l*l))/((l**15*l)/l)))**(-16) assuming l is positive. l**5952 Simplify ((n*n**(-2/15))/n**(-2))**(-3/8)*n**(-1/2)/(n*(n*n**(-1/7)/n*n)/n*n)*(n**1)**(3/2) assuming n is positive. n**(-541/280) Simplify ((w**(-15))**(6/13)*(w/w**(2/15))**22)**(25/4) assuming w is positive. w**(2960/39) Simplify ((b/b**(1/2))**(2/115))**7/((b*b**(6/11)*b*b)/(b/((b**6*b)/b)*b))**(38/3) assuming b is positive. b**(-362479/3795) Simplify ((k*k**39/k*(k/(k/(k/(k/k**(2/61)))))/k*k)/(((k**(1/20)*k*k*k*k*k)/k)/k**(2/83)))**44 assuming k is positive. k**(38992767/25315) Simplify (((u/((u/(u*u/u**10))/u)*u*u*u*u**(1/2))/((((u*u**(-9))/u)/u)/((u**1/u)/u)))**(-11/4))**(-38/7) assuming u is positive. u**(2299/28) Simplify (w**(-3/10)/w**(-42))/(w**(-2/19)*w/w**(-2/37)) assuming w is positive. w**(286481/7030) Simplify (((q**(-2/19)/q**(-4))**(-37))**(1/4))**(3/4) assuming q is positive. q**(-4107/152) Simplify ((d**(-7)/d*d**(-4))/(d**(-8)/d*(d*d**(-2/5))/d*d))**7 assuming d is positive. d**(-126/5) Simplify (m*m**1*m)**36*(m/(((m/m**(-3/4))/m)/m)*m)/m*(m/(m/(m*m**6*m*m)))/m*((m/(m*m*m**(-2/3)*m*m))**(-10/9))**3 assuming m is positive. m**(4501/36) Simplify (((s*s**(-1/2)*s)/s**(2/15))/(s**(1/5)/((s*s/s**5)/s)))/((s**(-1/2))**(-44)*(s**(-1/2))**(-2/35)) assuming s is positive. s**(-5221/210)
{ "pile_set_name": "DM Mathematics" }
ivided by ((-40)/m)/(3/((-99)/22))? 22 Suppose 6438 = 90*z - 76002. Calculate the remainder when z is divided by 317. 282 Suppose 0 = -2*m + 16, 0 = -k + 2*k + 2*m - 67. What is the remainder when 1543 is divided by k? 13 Suppose y - 4 = -3. Suppose -j - 18 = -3*q, 3*j = -0*q - 2*q + 1. What is the remainder when (8 - 7)/(y/7) is divided by q? 2 Let v(s) = s**2 + 12*s + 22. Let u = -11 - -12. Let o(j) = -17*j**2 + 3*j + 2. Let g be o(u). Calculate the remainder when 85 is divided by v(g). 19 Let z(h) = -25*h - 10. Let b(m) = -1. Let q(n) = 3*b(n) - z(n). Let y(k) = -29*k**3 - 3*k**2 - 9*k - 7. Calculate the remainder when q(4) is divided by y(-1). 23 Suppose -x - h + 31 = 6, 4*x - 109 = 5*h. Calculate the remainder when 1867 is divided by x. 21 Suppose -4*x + 138 = 4*i - 98, 5*x + 2*i = 286. Calculate the remainder when 333 is divided by x. 53 Suppose -52*t - 15*t + 3788 + 2309 = 0. Calculate the remainder when 5640 is divided by t. 89 Let x = -287 - -297. Suppose -x*w = -864 - 76. What is the remainder when w is divided by 30? 4 Let o(j) = 87*j + 694. Let u = 785 + -785. What is the remainder when o(u) is divided by 24? 22 Suppose 37*p - 4536 = -18*p - p. Calculate the remainder when 578 is divided by p. 11 Suppose 28*d + 91*d - 3640 = 28*d. What is the remainder when 69 is divided by d? 29 Let i = -4933 - -7822. Suppose 16*w - 43*w = -i. Calculate the remainder when w is divided by 12. 11 Suppose -4*p + 0*f = 2*f - 592, -p + 5*f = -137. Suppose p = 9*a - 24. Let u = -2 + a. Calculate the remainder when u is divided by 10. 7 Let u be 1 + 1 - 9/(-9). Suppose -2*w + 477 = u*r - 85, 0 = 2*r + 8. Calculate the remainder when w is divided by -28*(-3)/3 + (1 - 0). 26 Calculate the remainder when 98 is divided by 7 + -2 - (25/(-5) + 6). 2 Let t(r) = -r**2 - 474*r + 15694. Suppose -2*l = -3*m + 6 - 227, -l - 4*m + 127 = 0. Calculate the remainder when l is divided by t(31). 37 Let v be (42 - 43)/(1 + 439/(-438)). Suppose 30*a - 1278 = -v. Calculate the remainder when 249 is divided by a. 25 Suppose -5368 = 16*z - 5976. What is the remainder when 2165 is divided by z? 37 Let t(k) = -108*k - 1292. Let s = -5 + 8. Suppose -4*i + 21 = -s. What is the remainder when i is divided by t(-12)? 2 Suppose -5*n - 174 = 4*m, 2*m = -2*n - 41 - 29. Let b = -19 - n. Let d(u) = u**2 + 10178*u - 101872. What is the remainder when b is divided by d(10)? 7 Let m = 60 + -40. Let t = 8 + 26. Suppose 0 = -8*q + 278 + t. Calculate the remainder when q is divided by m. 19 Suppose 0 = -46*t + 81*t - 45640. Calculate the remainder when t is divided by 10. 4 Let u(o) = o**3 + 12*o**2 + 9*o - 11. Let z(w) = -w**2 - w - 11. Let c be z(0). What is the remainder when 163 is divided by u(c)? 9 Let y(a) = -a**3 + 21*a**2 + 2*a - 4. Let m(g) = -g**3 + 6*g**2 - 2*g + 6. Let t be m(5). Suppose u - 19 = 2. What is the remainder when y(t) is divided by u? 17 Let s(h) = 3*h**2 - 2*h + 10. Let t be s(-5). Suppose 4*k + w = -2*w + 65, -5*k = w - t. What is the remainder when k is divided by (16/(-6))/((-1)/3)? 4 Let y = -73 - -83. Suppose -276 = y*r - 1176. What is the remainder when r is divided by 22? 2 Let k(x) = 296*x**2 + 29*x + 135. Calculate the remainder when k(-4) is divided by 82. 81 Let f(j) = -7*j**3 - 11*j**2 - 13*j - 7. Suppose 13 = -11*z - 31. What is the remainder when f(z) is divided by 53? 52 Let u(v) = v**2 - 27. Suppose 0 = 12*g - 620 - 232. What is the remainder when g is divided by u(-8)? 34 Let i(k) = k**3 - k**2 + k + 113. Let x = 250661 - 250655. What is the remainder when i(0) is divided by x? 5 Let p(l) = -3*l**2 - 2*l + 321. What is the remainder when 560 is divided by p(-9)? 80 Suppose 0 = -6*b + 27 + 315. What is the remainder when 211 is divided by b? 40 Suppose 4*b - 3*t - 49 = 0, 15*b - 4*t = 16*b - 17. What is the remainder when b is divided by -4*5/(-2) + -3? 6 Let w(v) = 2*v**3 + 31*v**2 + 14*v - 13. Let y be w(-15). Suppose 2*j - 14 = 4*q, -30 = -y*j - 4*q - 0*q. Calculate the remainder when 97 is divided by j. 9 Let r = -2537 + 2607. What is the remainder when r is divided by 20? 10 Suppose -2*i - 4*z + 20 + 40 = 0, -3*i - 3*z = -75. Suppose -34 = t + 3*f - 118, 411 = 4*t - 3*f. What is the remainder when t is divided by i? 19 Suppose v + 8315 = 29*c, -3*v = 4*c - 688 - 484. What is the remainder when 1401 is divided by c? 253 Let a = 138 - 137. Calculate the remainder when (a - (1 - -155))*(-84)/210 is divided by 24. 14 Suppose 0 = -24*d + 15882 + 4088 - 1394. Calculate the remainder when d is divided by 354. 66 Suppose -59*g + 55*g = -4*a - 24368, -5*g = -2*a - 30448. What is the remainder when g is divided by 70? 68 Let d be (-3 + 3 + 2)*2. Suppose d*v = 10*v. Suppose -4*f - 16 = -3*j, -4*j - 3*f - f + 68 = v. What is the remainder when j is divided by 2? 0 Let x(s) = 2*s**2 + 200*s + 62. What is the remainder when 5328 is divided by x(-100)? 58 Let q(i) = -4478*i**3 - 120*i**2 - 118*i + 3. What is the remainder when q(-1) is divided by 10? 9 Let d = 8 + 13. Let z be 8/4*-1 - -141. Let l = z + -133. Calculate the remainder when d is divided by l. 3 Suppose -s + 26178 = 8855. Calculate the remainder when s is divided by 55. 53 Let g(x) = -35*x**3 + 2*x**2 + 13*x + 7. Let w be g(-2). Suppose -259 = -12*a + w. Calculate the remainder when a is divided by 23. 21 Suppose -r + 4 = -0*r. Suppose -4*c = 4*v + 92, -6 - 7 = c - r*v. Calculate the remainder when 172 is divided by (-595)/c - 5/(15/(-2)). 27 Calculate the remainder when 35 is divided by (44/(-14) - -5)*(-245)/(-35). 9 Let y(d) = -41*d + 146. Let n be y(4). Let h = -29 - -59. What is the remainder when ((-42)/(-28))/(n/(-696)) is divided by h? 28 Let l = -14 - -19. Suppose r = -3*a - 0*a + 17, r + 15 = l*a. Suppose r*d = -0*d + 325. Calculate the remainder when d is divided by 10. 5 Let q = 171 - 112. Suppose 282*d - 103173 = -75*d. What is the remainder when d is divided by q? 53 Let m = -5 + 4. What is the remainder when m/(428/(-142) - -3)*1 is divided by 37? 34 Suppose 2085 = 118*o - 5349. What is the remainder when o is divided by 7? 0 What is the remainder when (37290/100 - -4) + (-3)/(-30) is divided by 48? 41 Suppose -89*i = -11774 - 57201. Calculate the remainder when i is divided by 253. 16 Suppose 0 = -p - 11*q + 12*q + 11024, 5*q = 4*p - 44103. What is the remainder when p is divided by 15? 7 Let n(x) = 2*x**2 + 13*x + 14. Let m = -355 - -372. What is the remainder when n(-8) is divided by m? 4 Let k be (0 - -1)/(2/30). Let y(p) = p + 2. Let s(r) = 7*r + 12. Let l(a) = s(a) - 6*y(a). Calculate the remainder when 57 is divided by l(k). 12 Calculate the remainder when 218 is divided by -3 + 13 + (0 - -12). 20 Let f = -392 - -555. Suppose -s - f = -4*a, a - 4*s - 14 - 38 = 0. What is the remainder when 132 is divided by a? 12 Let w(j) = 957*j + 7105. What is the remainder when w(-6) is divided by 11? 10 Let z(c) = c**3 + 3*c**2 - 53*c + 5. Let h be z(-9). What is the remainder when 143 is divided by h - -44 - -6*(-2)/4? 32 Suppose -a - 66 = -2*a. Let r be (-2 - a/(-14)) + (-12)/(-42). Suppose -160 = -s - r*s. What is the remainder when s is divided by 16? 8 Let d = -20 + 44. Let i = 5 + d. Calculate the remainder when i is divided by 18. 11 Let a(z) = -169*z - 781. Calculate the remainder when 786 is divided by a(-5). 18 Let n(u) = u**3 - 3*u**2 - 2*u - 7. Let m = -79 + 73. Let p(d) = 2*d**3 + 8*d**2 - 28*d - 11. Calculate the remainder when n(5) is divided by p(m). 7 Let l = 3690 + -3605. Suppose 8*k - 60 = 4*k. What is the remainder when l is divided by k? 10 Let k(l) = 4*l**3 + 2*l**2 - 6. Let z be k(-2). Let j = -12 - z. What is the remainder when 115 is divided by j? 7 Let i(l) = l**2 - l**3 + 4*l**2 + l + l**2 + 9 - 4*l. Calculate the remainder when 36/7*(2 - -5) is divided by i(5). 17 Suppose 8430 - 46446 = -87*b + 33585. What is the remainder when b is divided by 259? 46 Let z be 1/((-5)/30*3). Let a be (z/(-3))/(4/(-6)) + 4. Suppose o = a*x - 60 - 71, -5*o = 25. What is the remainder when x is divided by 16? 10 Let h = -2459 - -2471. What is the remainder when 1436 is divided by h? 8 Suppose 0 = c + 4*u - 116, 132 = c - 7*u + 3*u. Suppose -4*i - 8*o = -12*o - 128, 5*o = 4*i - c. Calculate the remainder when 103 is divided by i. 31 Suppose -3*o + 241 = 2*t, 4*t + o - 2*o = 489
{ "pile_set_name": "DM Mathematics" }
How many minutes are there between 1:14 AM and 5:18 AM? 244 What is 505 minutes after 1:54 AM? 10:19 AM How many minutes are there between 6:06 AM and 8:09 AM? 123 How many minutes are there between 1:16 PM and 3:33 PM? 137 How many minutes are there between 4:42 AM and 9:47 AM? 305 How many minutes are there between 10:09 AM and 11:45 AM? 96 How many minutes are there between 1:33 AM and 1:13 PM? 700 What is 360 minutes before 1:36 PM? 7:36 AM How many minutes are there between 3:22 PM and 2:54 AM? 692 What is 558 minutes before 1:02 PM? 3:44 AM How many minutes are there between 9:06 AM and 2:37 PM? 331 How many minutes are there between 4:30 PM and 4:18 AM? 708 What is 130 minutes after 10:04 PM? 12:14 AM How many minutes are there between 4:43 PM and 2:30 AM? 587 How many minutes are there between 9:39 PM and 9:27 AM? 708 What is 354 minutes after 5:26 AM? 11:20 AM How many minutes are there between 9:32 AM and 12:11 PM? 159 How many minutes are there between 8:00 AM and 8:27 AM? 27 What is 160 minutes after 3:56 AM? 6:36 AM How many minutes are there between 12:13 PM and 5:28 PM? 315 What is 274 minutes after 7:57 PM? 12:31 AM What is 292 minutes before 11:25 AM? 6:33 AM What is 117 minutes before 6:06 PM? 4:09 PM How many minutes are there between 8:38 AM and 2:44 PM? 366 How many minutes are there between 2:37 PM and 2:14 AM? 697 What is 102 minutes after 11:14 PM? 12:56 AM How many minutes are there between 2:36 PM and 7:19 PM? 283 How many minutes are there between 1:15 PM and 11:42 PM? 627 How many minutes are there between 4:34 AM and 9:34 AM? 300 What is 421 minutes before 8:30 PM? 1:29 PM What is 663 minutes before 8:30 PM? 9:27 AM What is 553 minutes before 1:32 AM? 4:19 PM What is 155 minutes before 10:41 PM? 8:06 PM What is 265 minutes before 1:24 PM? 8:59 AM How many minutes are there between 9:32 PM and 4:20 AM? 408 How many minutes are there between 9:51 AM and 3:50 PM? 359 How many minutes are there between 2:26 AM and 12:56 PM? 630 What is 325 minutes before 6:25 AM? 1:00 AM What is 634 minutes after 4:57 PM? 3:31 AM How many minutes are there between 4:37 PM and 9:14 PM? 277 How many minutes are there between 12:30 PM and 4:43 PM? 253 What is 572 minutes after 11:34 AM? 9:06 PM What is 101 minutes before 10:53 PM? 9:12 PM What is 303 minutes before 8:55 AM? 3:52 AM How many minutes are there between 1:05 AM and 1:09 AM? 4 How many minutes are there between 11:42 PM and 4:40 AM? 298 How many minutes are there between 2:41 AM and 10:09 AM? 448 What is 485 minutes before 10:07 PM? 2:02 PM How many minutes are there between 11:33 AM and 9:19 PM? 586 What is 652 minutes after 5:57 PM? 4:49 AM How many minutes are there between 4:46 AM and 9:25 AM? 279 How many minutes are there between 11:12 PM and 9:53 AM? 641 How many minutes are there between 7:08 PM and 2:16 AM? 428 How many minutes are there between 11:06 AM and 6:54 PM? 468 How many minutes are there between 4:31 PM and 4:18 AM? 707 How many minutes are there between 9:59 AM and 7:37 PM? 578 How many minutes are there between 2:41 PM and 8:26 PM? 345 How many minutes are there between 7:46 AM and 5:51 PM? 605 What is 366 minutes before 1:10 PM? 7:04 AM What is 197 minutes before 8:07 PM? 4:50 PM How many minutes are there between 12:59 AM and 12:24 PM? 685 What is 687 minutes before 10:10 AM? 10:43 PM What is 453 minutes before 4:18 PM? 8:45 AM What is 525 minutes after 6:53 AM? 3:38 PM How many minutes are there between 1:32 AM and 12:06 PM? 634 What is 689 minutes before 5:14 PM? 5:45 AM What is 42 minutes after 6:22 AM? 7:04 AM What is 171 minutes after 9:14 AM? 12:05 PM How many minutes are there between 8:01 PM and 10:46 PM? 165 How many minutes are there between 3:19 AM and 4:35 AM? 76 What is 663 minutes before 1:59 PM? 2:56 AM What is 264 minutes after 2:25 PM? 6:49 PM What is 51 minutes after 9:28 AM? 10:19 AM What is 665 minutes before 11:34 PM? 12:29 PM How many minutes are there between 12:04 PM and 3:35 PM? 211 How many minutes are there between 9:16 PM and 2:40 AM? 324 How many minutes are there between 1:30 AM and 5:39 AM? 249 What is 9 minutes after 4:55 AM? 5:04 AM What is 277 minutes before 9:33 AM? 4:56 AM What is 444 minutes before 4:43 PM? 9:19 AM What is 236 minutes before 8:48 PM? 4:52 PM How many minutes are there between 12:30 AM and 1:10 AM? 40 How many minutes are there between 3:45 PM and 1:21 AM? 576 How many minutes are there between 4:33 AM and 1:25 PM? 532 What is 337 minutes before 12:48 AM? 7:11 PM What is 153 minutes after 12:54 PM? 3:27 PM How many minutes are there between 12:03 PM and 1:44 PM? 101 How many minutes are there between 5:21 AM and 7:33 AM? 132 What is 36 minutes after 9:19 PM? 9:55 PM How many minutes are there between 1:29 PM and 1:19 AM? 710 How many minutes are there between 4:16 AM and 10:27 AM? 371 What is 445 minutes before 7:58 AM? 12:33 AM What is 682 minutes after 1:54 PM? 1:16 AM How many minutes are there between 5:54 PM and 4:19 AM? 625 What is 535 minutes before 3:08 PM? 6:13 AM What is 121 minutes before 5:29 AM? 3:28 AM How many minutes are there between 7:36 AM and 9:20 AM? 104 How many minutes are there between 1:30 PM and 2:29 PM? 59 How many minutes are there between 5:03 AM and 12:56 PM? 473 How many minutes are there between 12:25 AM and 12:20 PM? 715 How many minutes are there between 5:50 PM and 12:30 AM? 400 How many minutes are there between 1:10 AM and 12:57 PM? 707 What is 386 minutes before 1:58 PM? 7:32 AM How many minutes are there between 10:19 AM and 3:34 PM? 315 How many minutes are there between 3:55 AM and 12:00 PM? 485 What is 203 minutes after 11:36 AM? 2:59 PM How many minutes are there between 5:31 PM and 11:47 PM? 376 How many minutes are there between 4:21 PM and 11:15 PM? 414 What is 194 minutes after 4:02 PM? 7:16 PM What is 121 minutes before 10:24 PM? 8:23 PM What is 607 minutes after 10:32 PM? 8:39 AM What is 135 minutes before 1:03 PM? 10:48 AM How many minutes are there between 4:39 PM and 5:56 PM? 77 How many minutes are there between 12:59 AM and 3:02 AM? 123 What is 709 minutes before 9:06 PM? 9:17 AM What is 481 minutes after 10:56 PM? 6:57 AM What is 110 minutes before 3:34 PM? 1:44 PM What is 141 minutes after 9:24 PM? 11:45 PM How many minutes are there between 4:14 AM and 9:29 AM? 315 What is 136 minutes before 2:08 PM? 11:52 AM How many minutes are there between 7:19 PM and 5:24 AM? 605 What is 130 minutes after 6:31 AM? 8:41 AM What is 77 minutes after 9:18 AM? 10:35 AM What is 568 minutes before 5:40 AM? 8:12 PM How many minutes are there between 8:06 AM and 9:06 AM? 60 How many minutes are there between 6:09 AM and 6:42 AM? 33 What is 240 minutes after 7:01 AM? 11:01 AM How many minutes are there between 2:23 PM and 1:25 AM? 662 How many minutes are there between 10:53 AM and 10:24 PM? 691 What is 49 minutes after 4:46 AM? 5:35 AM What is 423 minutes after 8:16 PM? 3:19 AM What is 387 minutes before 2:02 AM? 7:35 PM How many minutes are there between 10:10 PM and 7:38 AM? 568 How many minutes are there between 2:42 AM and 5:48 AM? 186 What is 20 minutes before 4:40 AM? 4:20 AM How many minutes are there between 11:58 AM and 5:20 PM? 322 What is 474 minutes before 11:11 PM? 3:17 PM How many minutes are there between 2:56 PM and 5:15 PM? 139 What is 583 minutes after 2:18 PM? 12:01 AM What is 472 minutes before 5:20 AM? 9:28 PM What is 607 minutes after 8:20 PM? 6:27 AM What is 353 minutes after 8:34 PM? 2:27 AM How many minutes are there between 2:26 PM and 11:32 PM? 546 What is 372 minutes before 10:11 PM? 3:59 PM What is 240 minutes before 3:01 AM? 11:01 PM How many minutes are there between 11:13 PM and 2:35 AM? 202 What is 399 minutes after 10:24 PM? 5:03 AM How many minutes are there between 10:37 AM and 3:26 PM? 289 How many minutes are there between 3:01 AM and 3:50 AM? 49 How many minutes are there between 9:31 AM and 2:34 PM? 303 How many minutes are there between 8:00 PM and 10:16 PM? 136 How many minutes are there between 9:26 PM and 8:33 AM? 667 What is 647 minutes before 2:20 AM? 3:33 PM What is 685 minutes after 6:26 AM? 5:51 PM How many minutes are there between 7:56 AM and 9:13 AM? 77 What is 127 minutes after 2:24 PM? 4:31 PM What is 589 min
{ "pile_set_name": "DM Mathematics" }
l**2 - 8? 1920*l**3 + 35628 What is the third derivative of -6*m**3*w**2 - m**3*w + 21029*m**3 - 2*m**2*w**2 - 11*m**2 - 2*m*w**2 + 296*w + 5 wrt m? -36*w**2 - 6*w + 126174 Find the second derivative of -x**5 + 168595*x**2 + 244517*x - 2. -20*x**3 + 337190 Find the third derivative of -475*j**4 + 1666*j**3 - 137*j**2 - 2904*j. -11400*j + 9996 Differentiate 50*k**3 + 176*k + 264304 wrt k. 150*k**2 + 176 Differentiate 292645*x*y - 41990*y - 1 wrt x. 292645*y Find the third derivative of 19323*f**4 - 15*f**2 + 2*f + 60 wrt f. 463752*f Find the second derivative of -7300*k**5 + k - 4021 wrt k. -146000*k**3 Differentiate 272081*f**3*o - 269608*f**3 with respect to o. 272081*f**3 Differentiate -12052*g*v**2*w**3 + 201905*g - 6*v**2*w**2 - 4*v**2 with respect to w. -36156*g*v**2*w**2 - 12*v**2*w Find the first derivative of 266310*x - 1076846. 266310 Find the second derivative of -410*n**2*q**2 + n**2*q + 5*n**2 - 4*n + 31077*q**2 wrt n. -820*q**2 + 2*q + 10 Find the second derivative of 1021*n**2 - 34496*n. 2042 What is the third derivative of -1050*d**3*o**2 - 8*d**3 - 3451*d**2*o**2 - 2*d*o**2 wrt d? -6300*o**2 - 48 What is the third derivative of -3894*d**6 + 7*d**4*p**3 + 4*d**2*p**3 - d**2*p + 36*p**3 + 43 wrt d? -467280*d**3 + 168*d*p**3 Find the third derivative of -6020*o**2*u**3 + o**2*u**2 + 110*o**2*u - 2*u**6 - 50*u**2 wrt u. -36120*o**2 - 240*u**3 What is the third derivative of -5*h**3*r**2 + 11769*h**3 + 4*h**2*r + 2*h**2 - 37*h + 21*r**2 + 2*r wrt h? -30*r**2 + 70614 What is the second derivative of -5*x**5 + 32606*x**2 + 2157455*x wrt x? -100*x**3 + 65212 Find the second derivative of 2*l**3*v**3 - 15*l**3 - 120*l**2*v + 10*l**2 + 5810*l*v**4 wrt v. 12*l**3*v + 69720*l*v**2 What is the third derivative of 1286*q**6*w + 907*q**6 + 423829*q**2*w + w + 1 wrt q? 154320*q**3*w + 108840*q**3 Differentiate -21647*u + 2495 with respect to u. -21647 Find the second derivative of -1415*n*q**3*y**2 - 18*n*q**2*y + 2*n*y - 3*q**3 + q*y + 5*q + 16*y**2 wrt y. -2830*n*q**3 + 32 Find the first derivative of -507806*t**4 - 1773097. -2031224*t**3 What is the second derivative of 41258*v**5 - 4*v + 8559 wrt v? 825160*v**3 What is the second derivative of 8*m**2*y**3 + 1936*m**2*y + 898*m*y**3 + 36*m*y**2 wrt m? 16*y**3 + 3872*y What is the second derivative of 16086*a**2*q**2 + 2*a**2 - 3*a*q**2 - a + 20541*q wrt q? 32172*a**2 - 6*a What is the derivative of -173582*r**2 - 7934 wrt r? -347164*r Differentiate 12*g**2*p**2 + 2*g**2*p - 3*g**2*t + 5*g**2 - 5*g*t - 3*g + 2207*p**2*t + 235*t with respect to p. 24*g**2*p + 2*g**2 + 4414*p*t What is the second derivative of -27964*h**3 + 24581*h wrt h? -167784*h Find the second derivative of 2436121*c**2*n**3 - c*n**3 - 2*c*n - 8*c - 66*n**2 wrt c. 4872242*n**3 What is the second derivative of 3*l**2*m**3 + l**2*m - 4*l**2 - 698254*l*m**5 - 49*l*m + 222 wrt m? 18*l**2*m - 13965080*l*m**3 Find the third derivative of -2964*d**6 + 3*d**5 + 2*d**3 - 71241*d**2. -355680*d**3 + 180*d**2 + 12 Find the second derivative of -601951*g*s**2 + 955924*g*s - 3*s wrt s. -1203902*g Find the third derivative of -6*l**6 + 10*l**4 + 398*l**3 - 2274*l**2 + 27*l + 2. -720*l**3 + 240*l + 2388 Find the second derivative of -163*k**5 - 6*k**4*x + 36*k*x + 4*k + 413*x wrt k. -3260*k**3 - 72*k**2*x What is the third derivative of -33404*a**3*h**3 + a**3*h**2 - 39150*h**2 wrt h? -200424*a**3 What is the derivative of -398137*n**2 - 846632 wrt n? -796274*n Differentiate 48875*d**2 + 21278. 97750*d What is the second derivative of -2*r**4 - 2235*r**3 - 4*r**2 + 120358*r? -24*r**2 - 13410*r - 8 What is the third derivative of 14*t**5*y + 2023*t**4*y**2 - 219*t**2*y**2 + 3*t**2*y + 13*y**2 + y - 2 wrt t? 840*t**2*y + 48552*t*y**2 What is the second derivative of -9*f**3*u**2 + 4845*f**3 + f**2*u - 2*f*u + 165*u**4 + 2*u**3 wrt u? -18*f**3 + 1980*u**2 + 12*u What is the second derivative of -2909724*i**3 - 1373285*i wrt i? -17458344*i What is the derivative of -52*b**3*r + 47259*b**3 - 310*b**2*r**3 + r**2 wrt r? -52*b**3 - 930*b**2*r**2 + 2*r What is the first derivative of -32*t**4 - 2*t**2 - 154*t - 56097 wrt t? -128*t**3 - 4*t - 154 Find the third derivative of -10603*s**4*t - 12*s**3*t**2 - 10*s**2*t**2 + 6310*s**2 wrt s. -254472*s*t - 72*t**2 What is the third derivative of 5939251*a**4 + 368*a**2 - 13*a + 98 wrt a? 142542024*a Find the third derivative of -31646*g*q**3 + 650*g*q**2 - 2*g wrt q. -189876*g Find the second derivative of -143*c**2*n**2*u + c**2*n**2 + 20418*c**2*n + c**2*u - 3*c*n**2*u + 3*c*n + c wrt n. -286*c**2*u + 2*c**2 - 6*c*u Differentiate -1159*b**3*o + 2*b*o**3 - 6*b + 22*o**3 - 406*o wrt b. -3477*b**2*o + 2*o**3 - 6 What is the second derivative of t*u**4 - 28430*t*u**3 - 4*t*u + 75*t + 5*u wrt u? 12*t*u**2 - 170580*t*u What is the third derivative of -319966*n**4 + n**2 - 76485*n wrt n? -7679184*n Differentiate 6*j**2 + 2065*j + 67204 with respect to j. 12*j + 2065 Find the first derivative of -29*k**2 + 611*k + 312124 wrt k. -58*k + 611 What is the second derivative of 1410685*t**3 + 367343*t? 8464110*t What is the third derivative of -446*i**2*q**3 + 1419*i**2*q**2 + 2*i**2 + 45*q**4 - 2*q wrt q? -2676*i**2 + 1080*q What is the second derivative of 3*a**3*t**2 - 1886*a**3*t + 168423*a**2*t**2 + 160*a*t wrt t? 6*a**3 + 336846*a**2 What is the second derivative of -1805*b**2*f**3*q**2 - 3*b**2*f**2*q**2 + 101*b**2*f + 4*b*q - 24*f**3*q wrt q? -3610*b**2*f**3 - 6*b**2*f**2 Differentiate -10*o*q + 473*o - 494493*q with respect to o. -10*q + 473 What is the third derivative of -447701*x**4 + x**2 + 25018*x + 2? -10744824*x Find the second derivative of 159*f**2*m**2*n**2*t + 44*f**2*m**2*n**2 - 271*f**2*m*n**2*t - 2*f**2*m*n**2 - 3*f**2*n + 8*f**2 + 4*f*n*t wrt m. 318*f**2*n**2*t + 88*f**2*n**2 What is the second derivative of 31236*f**2*i**3 - 166350*f**2*i + i**3 wrt i? 187416*f**2*i + 6*i What is the derivative of 62*l**4 - 3*l**3 + 224*l**2 + 3*l - 1076311? 248*l**3 - 9*l**2 + 448*l + 3 What is the third derivative of 2*k**5 - 156725*k**3 - 24*k**2 + 2689*k - 2? 120*k**2 - 940350 What is the derivative of -1486154*t*y**2 + 4957*y**2 - 30*y wrt t? -1486154*y**2 Find the third derivative of -432197*y**3 - 2*y**2 + 5094*y - 49. -2593182 Differentiate 70*f**2 + 216*f - 135731 wrt f. 140*f + 216 Differentiate 100014*g**4 + 776547 wrt g. 400056*g**3 Find the second derivative of -1236858*p**2 + 1566620*p. -2473716 Find the third derivative of -593218*s**3 + 662360*s**2. -3559308 Differentiate 2*d**2*l**2 + 2*d**2 - 1510*l**2 - 366 with respect to l. 4*d**2*l - 3020*l Find the third derivative of -2*c**3*w**2 + c**3*w + 28983*c**3 - 4*c**2*w**2 + 694*c*w - 21*w**2 wrt c. -12*w**2 + 6*w + 173898 What is the first derivative of 98*d**3 + 91*d + 33992 wrt d? 294*d**2 + 91 Find the third derivative of -4*u**5 + 7861*u**4 + 75*u**2 + 72. -240*u**2 + 188664*u Find the third derivative of -134*h**5 + 2*h**4 - 40*h**3 + 227*h**2 + 42 wrt h. -8040*h**2 + 48*h - 240 What is the first derivative of -2*h*l**2 - h*l - 76181*h - 2*l**2 - 230*l wrt l? -4*h*l - h - 4*l - 230 Find the third derivative of -33930*g**3*r + 256*g**2*r + 5*r + 1 wrt g. -203580*r What is the third derivative of 8*c*s**6 - 19871*c + 314*s**6 + s**4 + 11*s**2 wrt s? 960*c*s**3 + 37680*s**3 + 24*s Find the second derivative of 4*w**2*y**3 - w**2*y - 2263*w**2 - 24*w*y**3 + 3191*w*y wrt w. 8*y**3 - 2*y - 4526 What is the second derivative of -3*c**5*r - 2614*c**4*r + 5*c*r - 9343*r wrt c? -60*c**3*r - 31368*c**2*r Find the first derivative of 175256*c**2 - c - 90006. 350512*c - 1 Differentiate 27*d**3*k*n - 2*d**3 + 3207*d**2*k*n - 9020*d*n with respect to k. 27*d**3*n + 3207*d**2*n Find the second derivative of 264500*v**2 - 139406*v. 529000 What is the first derivative of -l**3 + 928*l**2 - l + 62351? -3*l**2 + 1856*l - 1 What is the second derivative of u**5 - 5691*u**3 + 2*u**2 + u + 17849? 20*u**3 - 34146*u + 4 What is the second derivative of -129632*a*u**2 + 129*a*u - 498*a - 2*u - 1 wrt u? -259264*a What is the second derivative of 2*g**2*s*u + 8*g**2*s - 1589*g**2*u**2 + 52*g*s*u**2 - g*s*u + g + 42*u wrt u? -3178*g**2 + 104*g*s Find the second derivative of -17*q**3*r**2 + 3*q**3*r - 2*q**2*r - q*r**2 - 3425*q*r - 112*r**2 wrt r. -34*q**3 -
{ "pile_set_name": "DM Mathematics" }
c. Let p(x) = 25*x. Let v(s) = 2*p(s) + 3*w(s). Let f(z) = -6*z + 1. Let t(i) = -3*i**2 - 18*i + 3. Let a(h) = -6*f(h) + 2*t(h). Give v(a(d)). 150*d**2 Let y(i) = -i**2. Suppose -15*d = 3*d - 252. Let v(s) = -64*s - 14. Let x(m) = 21*m + 4. Let p(u) = d*x(u) + 4*v(u). Calculate p(y(z)). -38*z**2 Let j(v) = 14*v**2 + 3. Let u be ((-77)/(-14))/((-1)/18*-3). Let k(d) = u*d**2 - 13*d**2 - 21*d**2. What is j(k(c))? 14*c**4 + 3 Let r(i) = -4 - 2*i - 13 + 8 - 4 + 2. Let l(k) = -k. Give l(r(d)). 2*d + 11 Let a(d) = -108*d. Let p(l) = 21951*l. What is a(p(s))? -2370708*s Suppose -2*i = -7*i - 5*b - 10, 6 = 4*i - 3*b. Let m be i - ((-2)/(-3) - 107/3). Let r(v) = m*v**2 - 6*v**2 - 14*v**2. Let d(t) = -2*t**2. Give d(r(n)). -450*n**4 Let h(o) = 53*o. Let a(v) be the second derivative of -8*v - 1/3*v**3 - 6 + 0*v**2. Determine a(h(q)). -106*q Let q(v) = -v**2 + v + 38. Let n(o) = 20*o**2 - 40*o - 1520. Let z(g) = n(g) + 40*q(g). Let k(f) = -464*f. Calculate z(k(a)). -4305920*a**2 Let w(h) = 9*h**2. Let q(i) be the second derivative of 13*i**3/3 + 5*i**2/2 - 1612*i. Calculate q(w(f)). 234*f**2 + 5 Let x(t) be the second derivative of -5/12*t**4 + 191*t + 0*t**3 + 0 + 0*t**2. Let i(j) be the second derivative of j**3/6 + j. What is i(x(o))? -5*o**2 Let g(k) = 3602*k**2. Let i(r) = 21*r**2 + 18*r. Give i(g(o)). 272462484*o**4 + 64836*o**2 Let s(r) = -3*r**2 - 48*r + 16. Let p(i) = -3*i**2 - 36*i + 12. Let j(x) = -4*p(x) + 3*s(x). Let l(u) = 22*u - 6. Give l(j(n)). 66*n**2 - 6 Let n(q) = 4*q**2 + 6. Let s(d) = 17*d**2 + 27. Let t(i) = -9*n(i) + 2*s(i). Let c(j) = -3*j**2 - 76 + 79 + 65. Determine t(c(o)). -18*o**4 + 816*o**2 - 9248 Let h(u) = 65648*u**2. Let c(m) = 1862*m. Calculate h(c(i)). 227604504512*i**2 Let n(k) = 129*k**2. Let a(u) = 122834*u**2. Calculate a(n(d)). 2044080594*d**4 Let p(q) = 2*q**2 - 1561*q - 2. Let t(u) = 2284*u. Calculate p(t(a)). 10433312*a**2 - 3565324*a - 2 Let v(s) = 149*s**2. Let y(o) = -2 + 2 + 3518*o**2 - 3520*o**2. What is y(v(w))? -44402*w**4 Let n(k) = 49*k + 159. Let x(d) = 147*d + 517. Let s(g) = -13*n(g) + 4*x(g). Let w(y) = -2*y**2 + 3*y - 3*y. What is w(s(h))? -4802*h**2 + 196*h - 2 Let p(t) = -12*t - 6*t - 3*t. Suppose 44*s = 48*s. Let r(h) = s + 0 + 9*h - 10*h. Give r(p(n)). 21*n Suppose -w - s + 2 - 1 = 0, 0 = -3*w - s + 5. Let i(q) = -3*q**w + 2613*q - 2613*q. Let f(b) = b**2 - 3*b. Determine f(i(d)). 9*d**4 + 9*d**2 Let d(s) be the third derivative of -109*s**5/60 + 6758*s**2. Let k(m) be the first derivative of 2*m**3/3 + 1. Determine k(d(p)). 23762*p**4 Let k(l) be the third derivative of -7*l**4/24 + 4*l**3/3 - 14*l**2 - 18. Let u(n) = -9*n**2. Determine u(k(m)). -441*m**2 + 1008*m - 576 Let o(u) = -2*u. Let i = 5708/3 + -1902. Let d(g) be the second derivative of 0*g**2 + i*g**3 + 0 + 12*g. Determine d(o(n)). -8*n Let q(n) = -19*n**2. Let i(o) = -528*o + 2*o**2 + 494*o + 34*o. Calculate i(q(t)). 722*t**4 Let v(i) = 27*i**2. Let k(r) = 990458*r**2. What is v(k(d))? 26487190343628*d**4 Let c(y) = y. Let z = 71 - 49. Suppose -3*i = 4*p - p - 18, -5*i - 3*p + z = 0. Let q(v) = 95 - 95 - 17*v**i. Give c(q(r)). -17*r**2 Let y(h) = -2 - h - h - h + 56*h. Let w(p) be the first derivative of -p**3/3 + 1309. What is y(w(n))? -53*n**2 - 2 Let n(m) = -4*m**2 + 3. Let h(z) = -99481*z. What is h(n(q))? 397924*q**2 - 298443 Let h(c) = 43965*c. Let k(d) = 691*d**2. Give k(h(i)). 1335648566475*i**2 Let y(c) be the first derivative of 3/2*c**2 + 14*c - 41. Let z(j) = -j. Determine z(y(n)). -3*n - 14 Let x(k) = -21126761*k. Let g(v) = v**2. Determine x(g(r)). -21126761*r**2 Let h(z) = -266820*z. Let q(o) = -49*o**2. Determine q(h(f)). -3488452707600*f**2 Let d(h) = -206*h. Let n(y) = -136770*y. Give n(d(l)). 28174620*l Let l(u) = -6*u**2. Let c(p) = -927*p**2 - 32*p. Calculate c(l(r)). -33372*r**4 + 192*r**2 Let k be (16/32)/((-2)/(-8)). Let r(s) = -9*s**k + 0*s + 0*s + 8*s**2. Let i(g) = -g + 3*g**2 + 2*g - g. What is i(r(f))? 3*f**4 Let j(s) = -31802195*s. Let w(o) = -6*o. Calculate w(j(f)). 190813170*f Let x(k) = -18106356*k. Let j(o) = -4*o**2. Give j(x(y)). -1311360510394944*y**2 Let v(x) = -12*x**2 + 7651*x. Let h(k) = -3*k + 4. Calculate v(h(t)). -108*t**2 - 22665*t + 30412 Let v(k) = k**3 - 40*k**2 + 77*k - 39. Let n be v(38). Let c(s) = 21*s - 8. Let p(g) = -3. Let z(w) = n*c(w) + 2*p(w). Let t(d) = -3*d**2. What is t(z(a))? -1323*a**2 + 252*a - 12 Let l(k) = -k. Let y(r) be the third derivative of -16*r**4/3 - 2*r**3/3 + 29*r**2 + 17*r. Calculate y(l(j)). 128*j - 4 Let q(i) = 2*i. Suppose -42 = -36*w + 29*w. Let f(r) = -12*r**2 + 33*r + 6. Let k(c) = c**2 + 5*c + 1. Let h(y) = w*k(y) - f(y). Give q(h(v)). 36*v**2 - 6*v Let o(h) = -2*h. Let r(i) = -145 + 20*i + 188 - 75. Calculate r(o(m)). -40*m - 32 Let a(l) be the first derivative of -l**2 + 2721. Let q(r) = 3951*r. Calculate a(q(g)). -7902*g Let x(f) = -123*f**2. Let r(v) = 78236*v**2. Calculate r(x(j)). 1183632444*j**4 Let h(q) = -64401726*q. Let w(p) = p. Determine h(w(d)). -64401726*d Let s(g) = -19494864*g. Let z(y) = 5*y. Determine s(z(f)). -97474320*f Let w(j) = -3*j. Let z(s) = -1406 + 462 - 1505*s + 463 + 481. What is z(w(h))? 4515*h Let w(x) be the second derivative of 3*x**3 - 2*x**2 - 286*x. Let q(t) = -2*t + 2. Let k(u) = -8*q(u) - w(u). Let j(f) = f. Give j(k(o)). -2*o - 12 Let g(u) = -u**3 - 46*u**2 + 50*u + 138. Let l be g(-47). Let j(y) = y. Let a(c) = -c + 3*c - 3*c. Let n(w) = l*j(w) - a(w). Let p(z) = -10*z. What is p(n(i))? 20*i Let u(h) = -6*h**2. Let w(k) = 22*k**2 + 2415462*k. Give w(u(s)). 792*s**4 - 14492772*s**2 Let a(v) = -39*v**2 - 5. Let w(k) = 506*k**2 + 66. Let p(o) = 66*a(o) + 5*w(o). Let t(m) = 934 + 5*m + 935 + 960 - 2829. Determine p(t(u)). -1100*u**2 Let j(c) = c + 14857 - 4*c - 14857. Let p(m) = -8*m**2 + 4*m. Calculate p(j(h)). -72*h**2 - 12*h Let d(k) = -k + 19. Let v be d(13). Let r(p) = v*p**2 - p**2 - p**2 - p**2. Let a(m) be the third derivative of -2*m**5/15 - 238*m**2 - 4. Determine a(r(q)). -72*q**4 Let i(q) = 8*q**2. Let y(n) = -406*n**3 + 4*n**2 - 13*n - 15. Let s be y(-7). Let f(z) = 139530 - s + 17*z. Give f(i(a)). 136*a**2 Let a(o) = 37*o. Let t(i) = -7*i**2 + 16*i. Let u(w) = -3*w**2 + 8*w. Let b(n) = -4*t(n) + 9*u(n). Give b(a(s)). 1369*s**2 + 296*s Let m(k) = -4*k**2. Let l(f) = 5151*f + 139. What is l(m(j))? -20604*j**2 + 139 Let u(b) = -23*b**2. Let q(d) = -40799377*d. Give q(u(y)). 938385671*y**2 Let q(x) = 1396536*x. Let z(l) = -20*l + 2. Determine z(q(n)). -27930720*n + 2 Let s(y) = y. Let l(h) = -8*h - 48. Let v = -130 + 178. Let c(g) = 2 - 7 + 6. Let t(a) = v*c(a) + l(a). What is s(t(d))? -8*d Let z(l) = -4*l + 1. Let q(o) = -92*o + 16. Let x(d) = q(d) - 18*z(d). Let k(m) = 14*m**2. What is k(x(a))? 5600*a**2 + 1120*a + 56 Let m(q) = -1966*q + 85. Let v(c) = 19*c**2. Give m(v(h)). -37354*h**2 + 85 Let l(g) = 38*g - 12*g**2 - 38*g. Let j(x) = 2065 - 14*x**2 - 33*x**2 + 10*x**2 - 2065. Calculate j(l(t)). -5328*t**4 Let t(n) be the second derivative of 29*n**4/6 + n. Let i(o) = -10*o + 4. Let d(w) = -22*w + 9. Let y(l) = -4*d(l) + 9*i(l). What is t(y(s))? 232*s**2 Let d(s) = 5*s. Let f(c) = 30870755*c. What is d(f(g))? 154353775*g Let b(f) = 1 + 0*f - 3 + 8*f. Let m(c) = -13*c**2 + 18*c + 30. Let t(q) = -28*q**2 + 39*q + 65. Let x(v) = -13*m(v) + 6*t(v). Calculate x(b(l)). 64*l**2 - 32*l + 4 Let g(n) = -373772017*n + 2. Let y(m) = -m. What is y(g(r))? 373772017*r - 2 Let s(a) = -2*a. Let p(m) be the first derivative of -m**4/24 + 3*m**3 - 13*m**2/2 + 3*m + 57. Let b(g) be the second derivative of p(g). Give s(b(i)). 2*i - 36 Let i(h) = 569*h + 563*h - 1133*h. Let o(f) = -20*f**2 - 52. Give o(i(c)). -20*c**2 - 52 Let v(q) = -28*q**2 + 28. Let s(y) = -9*y**2 + 8. Let c(u) = -14*s(u) + 4*v(u). Let r(z) = 3*z**2 - 96. Calculate r(c(j)). 588*j**4 - 96 Let m(u) = u**2. Let j(p) = 5294532*p - 240884. Let a(n) = -1231*n + 56. Let g(b) = 8603*a(b) + 2*j(b). Determine g(m(r)). -1229*r**2 Let s(b) = 20*b - 2. Let r(n) = 240*n - 25. Let o = 76 - 126. Let l be 999/259 - (1 + (-32)/28). Let z(f) = l*r(f) + o*s(f). Let x(h) = h**2. Give x(z(k)). 1600*k**2 Let i(n) = -n. Let q(h) be the second derivative of 2186*h**4/3 - 8*h + 26. Determine i(q(t)). -8744*t**2 Let f(l) = -149*l - 154*l - 131*l + 578*l - 154*l. Let p(b) =
{ "pile_set_name": "DM Mathematics" }
(d) = 2*d**2 - 3*d. Let a be k(2). Suppose 5*f = -3*y + 17, 5 = a*f - f - y. Suppose -108 = -f*o - 0*o. Calculate the remainder when 107 is divided by o. 26 Let w(p) = -54*p - 319. Calculate the remainder when 187/7 + 6/21 is divided by w(-6). 2 Let n(i) = 5*i**2 - 2*i - 5. Calculate the remainder when 550 is divided by n(-2). 18 Let u be -4 - 6*(-4)/(-8). Let p be (13 + (-4 - u))*-4. Calculate the remainder when 37 is divided by (p/4)/(-1) - 3. 11 What is the remainder when 208 is divided by 9/(-12)*(-220)/15? 10 Let n = 380 - 352. Calculate the remainder when 16590/54 + (-4)/18 is divided by n. 27 Suppose -449 = -g - 4*c - 133, 2*g - 668 = 4*c. What is the remainder when g is divided by 37? 32 Suppose 21*x - 1728 = -11*x. Suppose 3*i - 17 = 3*k + 79, 16 = -4*k. Calculate the remainder when x is divided by i. 26 Let w = -475 - -489. What is the remainder when 105 is divided by w? 7 Suppose -9*z + 10*z + 18 = 0. Let i = 67 + z. Let b(s) = s**2 - 2*s + 2. What is the remainder when i is divided by b(5)? 15 Let l(q) = 4*q**2 + 76*q - 63. What is the remainder when 84 + -2*(-3)/(-6) is divided by l(-20)? 15 Suppose -13109*h = -13090*h - 874. Let m be ((-17)/(-2))/(1/2). Let c = -1 + m. What is the remainder when h is divided by c? 14 Suppose -3*w - 2*o - 2*o + 344 = 0, 5*o = -4*w + 460. Calculate the remainder when w is divided by 35. 15 Let v = 86 - 50. Suppose -54*j + 304 = -38*j. Calculate the remainder when v is divided by j. 17 Suppose 5*t = 4 + 6, -n = -2*t - 10. Calculate the remainder when 27 is divided by n. 13 Let u = -206 + 20. Let n = -121 - u. Calculate the remainder when n is divided by 18. 11 Suppose -2*p + 4 = -4*p, -3*y + 4*p = -353. What is the remainder when y is divided by 17? 13 Let k = 55 - 65. Calculate the remainder when 2/(8/k*20/(-136)) is divided by 9. 8 Let j be (-110)/(-9) - (170/(-45) + 4). Suppose 13*l = j*l + 16. Calculate the remainder when 77 is divided by l. 13 Let s(u) = 38*u + 407. Calculate the remainder when s(-10) is divided by 6. 3 Let n = -46 - -91. Let b = -21 - -44. Calculate the remainder when n is divided by b. 22 Suppose 3*t - 9 = 3*n, -4*t = n + 3*n + 28. Let o(u) = -u**2 + 2*u - 1. Let c be o(3). What is the remainder when 53 is divided by t/c - 70/(-4)? 17 Let b be (120/(-14))/(31/(-434)). Suppose -9*p + b = -6*p. What is the remainder when p is divided by 12? 4 Let u = -27 + 62. What is the remainder when u is divided by 18? 17 Suppose 0 = -2*x + 28 + 20. Calculate the remainder when x is divided by 14. 10 Let n = 5 - 0. Suppose 0 = z - 4*j - 3, 5*z + n*j - 140 = -0*j. Calculate the remainder when 91 is divided by z. 22 Suppose -5*f = 1 - 6. Let j = f + 2. What is the remainder when 9 is divided by j? 0 Let d = -6 + 16. Suppose -3*o = -13 + d. Calculate the remainder when (637/(-52))/(o/(-4)) is divided by 17. 15 Suppose -4*t - 5*h + 52 = 0, 0*h = -4*t - 3*h + 52. Calculate the remainder when 1*56 - -2*(-42)/(-12) is divided by t. 11 Let u = 28 - 28. Let h = u - 9. Let z = 78 - h. Calculate the remainder when z is divided by 22. 21 Suppose 0 = -7*t + 2 + 12. Suppose 0*g - 10 = -2*g. Suppose -g*m - 11 = -31. What is the remainder when m is divided by t? 0 Let b(o) = o**2 - 7*o + 18. Calculate the remainder when b(-7) is divided by 17. 14 Let i(g) = g + 43. Calculate the remainder when i(-28) is divided by 12. 3 Let b(v) = 3*v**2 + 102*v - 86. What is the remainder when b(-36) is divided by 19? 16 Suppose -541*a + 589*a - 4944 = 0. Calculate the remainder when a is divided by 9. 4 Let n(c) = -2*c - 2. Let l(o) = 8*o + 7. Let x(q) = 4*l(q) + 18*n(q). Calculate the remainder when 21 is divided by x(-4). 5 Let a(k) = 19*k + 1. Let i be 1/(-1) + 0 + 2. Let h(p) = p**2 - 2*p + 7. Calculate the remainder when a(i) is divided by h(0). 6 Suppose -3611 = -28*i - 3387. Suppose -3*k - 148 = -10. Let h = k + 92. What is the remainder when h is divided by i? 6 Suppose 40*t = 34*t + 90. Suppose -o = -12 - t. Calculate the remainder when 107 is divided by o. 26 Suppose -201*w + 198*w + 162 = 0. What is the remainder when 321 is divided by w? 51 Suppose 5*x + 3*f + 129 = 0, 3*f - 18 + 75 = -2*x. Let t = 53 + x. Let o = 6623 + -6540. Calculate the remainder when o is divided by t. 25 Let f(x) = -30*x + 44. Calculate the remainder when f(-16) is divided by 25. 24 Suppose 81 = 5*s - 144. Let x be 186/45 + (-6)/s. Suppose -k - 98 = x*t - 5*t, k = 3. What is the remainder when t is divided by 26? 23 Let a(d) = 8*d**3 - 1. Let p be a(-1). Suppose -5*s - 25 = n, -n + 5 = -2*s + s. Let h = n - p. Calculate the remainder when h is divided by 6. 3 Suppose -379*h = -517*h + 2622. Let o(w) = w**2 + 7*w - 2. Let y be o(-6). Let c = y - -13. What is the remainder when h is divided by c? 4 Let z(p) = -94*p - 267. Calculate the remainder when 36 is divided by z(-3). 6 Suppose 7*f = 4*f + 114. Let c = -18 + f. What is the remainder when 77 is divided by c? 17 Suppose -7*t + 5 + 2 = 0. Suppose -x = -h + 11, -x = h - 2 - t. Calculate the remainder when 40 is divided by h. 5 What is the remainder when (10/(-8))/(8/(-672)) + -4 is divided by 23? 9 Calculate the remainder when 84 is divided by (6 + (-38)/6 + 6)*3. 16 Let h(b) = b**3 + 8*b**2 + 4*b + 2. Let t be h(-7). Let m = 51 - t. Calculate the remainder when m is divided by 15. 13 Let k(c) = 7*c + 1. What is the remainder when 57 is divided by k(4)? 28 Suppose -9*u + 878 = -679. What is the remainder when u is divided by 59? 55 Suppose 5*g + 192 = -3*a + 595, 103 = g - 5*a. Calculate the remainder when 94 is divided by g. 11 Let z(q) be the second derivative of q**4/12 + 2*q**3/3 - 5*q**2 - q. What is the remainder when 170 is divided by z(5)? 30 Calculate the remainder when -9*(6/(-4))/(22/44) is divided by 9. 0 Let x be ((-3)/4)/(27/(-144)). Suppose r = x*y - 158, y + 3*r - 2*r = 42. What is the remainder when y is divided by 17? 6 Suppose 0 = -3*t + 12, 8*z - 4*t = 4*z + 292. Let l be -17 + (-1*6)/2. Calculate the remainder when z/4 - (-5)/l is divided by 7. 5 Let w(q) = q - 2 - 2*q - 1. Let c be w(-3). Suppose -3*t = -5*a - c*a + 21, -4*t = -2*a. What is the remainder when a is divided by 4? 2 Let d(u) = 3*u - 1. Let p be d(1). Suppose -2*z = 2, p*z + 89 + 21 = 4*a. Suppose 2*m = a + 35. What is the remainder when m is divided by 8? 7 Let b be 1/4 + 21/28. Suppose -b = 4*n - 13. Let g = 19 + n. What is the remainder when g is divided by 8? 6 Let d(c) = -c**2 - 11*c - 7. Let a be d(-8). Let p = 6 + a. Suppose -6*n + 134 = -4*n - 2*r, 0 = 4*r. Calculate the remainder when n is divided by p. 21 Let p = 53 - 125. Let b = p - -123. What is the remainder when b is divided by 29? 22 Let f(c) = -c**3 - 16*c**2 - 33*c - 50. Calculate the remainder when 177 is divided by f(-14). 17 Suppose 124 - 19 = 5*n. Let a = -15 + n. Suppose -2*x = -7*x + 4*j + 75, 2*x - 30 = -3*j. What is the remainder when x is divided by a? 3 Let f = 51 + -36. Let q(u) = -u**3 + 14*u**2 + 17*u + 1. What is the remainder when 59 is divided by q(f)? 28 Let g be ((-1)/(14/(-8)))/(30/105). Suppose -g*h - 232 = -6*h. Calculate the remainder when h is divided by 15. 13 Let d be 7/(-3*(-4)/(-24)). Let i(v) = v**3 + 15*v**2 + 12*v - 19. Let m(t) = t**3 + 9*t**2 + 8*t. Calculate the remainder when m(-7) is divided by i(d). 6 Suppose 0 = -5*l - 5*m - 1 + 41, l + 3*m - 14 = 0. Let i(k) = -4*k - 4. Calculate the remainder when i(-3) is divided by l. 3 Suppose 9 = u + 7. Suppose 0 = 3*g - 3*o + 6 - 21, 0 = u*o + 4. Suppose 0 = -4*s - 2*m + 86, 2*s + 0 - 49 = -g*m. What is the remainder when 59 is divided by s? 19 Suppose 0 = j, 0*j - j + 280 = 5*a. Let b = a - 37. What is the remainder when b is divided by 10? 9 Suppose -2*b = 4*z - 2, 3*z = -2*z - 4*b - 5. Suppose 5*d + 2*r = r, 0 = 3*d - z*r. Let n(v) = v + 59. What is the remainder when n(d) is divided by 15? 14 Suppose 0 = 5*k + 5*i, -3*k - 5*i = -1 - 3. Let w(d) = 0*d**2 + 3*d**2 + 0*d**2 + 2 + 3*d**2. What is the remainder when 77 is divided by w(k)? 25 Suppose 38*t + 209 = 779. Suppose -3*z - 57 = -2*n + 35, 2 = z. Calculate the remainder when n is divided by t. 4 Let j = 32 - 31. Suppose -53 = -2*p - 5*o, -p - o - j = -4*o. Suppose -4*d + 8*d - 104 = 0. Calculate the remainder when d is divided by p. 12 Let s be 54/7 + (4/7)/2. Suppose -s = -k - 4*z, k - z = 3*z
{ "pile_set_name": "DM Mathematics" }
f))? -729*f**2 Let b(l) = 27*l**2. Let i = -27 - -60. Suppose -i*x = -36*x + 6. Let d(p) = -10*p**x + 10*p**2 - 2*p**2. Give b(d(y)). 108*y**4 Let o(f) = 3913*f. Let x(z) be the third derivative of -z**5/30 + 3*z**2 - 172*z. Give x(o(j)). -30623138*j**2 Let p(k) = -1586459*k. Let v(u) = -5*u**2. Give p(v(t)). 7932295*t**2 Let u(p) = -2*p. Let z(t) be the second derivative of 2*t**5/15 + 17*t**2/2 - 119*t. Let g(f) be the first derivative of z(f). Give u(g(x)). -16*x**2 Let y(i) = i**3 + 31*i**2 + 32*i + 66. Let h be y(-30). Let p(z) = 1 + 0 - h*z - 19*z. Let l(b) = -b. Give l(p(x)). 25*x - 1 Let p(m) = -3*m**2 + 4*m - 2. Let z(u) = 38*u + 8 - 32*u - 2*u**2 - 11. Let g(q) = -3*p(q) + 2*z(q). Let n(y) = -13*y. Determine g(n(i)). 845*i**2 Let s(h) = -27527*h. Let u(f) = -79*f**2. What is s(u(x))? 2174633*x**2 Let f(n) = n**3 + 1. Let q(a) = -16*a**3 - 28. Let g(z) = -12*f(z) - q(z). Let h(i) be the first derivative of g(i). Let v(w) = -6*w**2. Give h(v(m)). 432*m**4 Let w(b) = -2*b**2. Let v(k) = k + 63. Let s(i) = 7496*i + 413217. Let p(n) = -2*s(n) + 13118*v(n). Calculate w(p(h)). -7023752*h**2 Let n(l) = 9 - 6 + 4*l - 3*l - 3. Let y(o) = -3 + 4*o + 4*o + 0*o + 3*o. Give y(n(r)). 11*r - 3 Let i(v) = -6*v + 5. Let s(o) = 9*o - 5. Let z(f) = 5*i(f) + 4*s(f). Let r(p) = 2*p + 3. Let y(t) = 10*r(t) - 6*z(t). Let l(k) = -39 + 39 - 4*k. Give l(y(n)). 64*n Let a(y) = 733*y - 600*y - 110*y. Let v(q) = -154*q. Give a(v(x)). -3542*x Let o(q) be the second derivative of -q**6/720 + q**4/4 - 19*q**2 + 170*q. Let x(d) be the third derivative of o(d). Let l(g) = -54*g**2 - 1. What is x(l(z))? 54*z**2 + 1 Let h(j) = 797*j. Let b(r) = -r**2 + 258*r - 5. Determine b(h(s)). -635209*s**2 + 205626*s - 5 Let t(s) = -25*s**2. Let c(l) = -390*l. Let a(q) = -1849*q. Let z(u) = 9*a(u) - 43*c(u). What is z(t(y))? -3225*y**2 Let h(g) = -62*g. Let y(r) be the second derivative of 3*r**3/2 - 10*r - 9. What is y(h(b))? -558*b Let o(d) = 81*d**2. Let b(k) = -7*k**2. Let r(p) = -303*p**2 + 610*p**2 - 298*p**2. Let u(z) = 5*b(z) + 4*r(z). Calculate o(u(g)). 81*g**4 Let n(m) = -4*m + 12. Let d(b) = 49*b - 140. Let h(s) = 3*d(s) + 35*n(s). Let a(u) be the first derivative of u**2/2 - 6. Calculate a(h(p)). 7*p Let s(l) = -51787*l. Let j(b) = 185*b. Give s(j(q)). -9580595*q Let w(s) = 2*s. Suppose -j = h + h + 21, h + 23 = 2*j. Let i(n) = -5*n**2 - 60. Let q(m) = 11*m**2 + 122. Let a(r) = h*i(r) - 6*q(r). Calculate a(w(p)). -4*p**2 + 48 Let k(a) = -3*a. Let z(x) = -3995*x + 12. Give k(z(m)). 11985*m - 36 Let m(l) = l. Let b(y) = 8449790*y**2. Give b(m(p)). 8449790*p**2 Let y(r) = -3316*r + 1365*r + 1949*r. Let c(z) be the third derivative of 5*z**4/24 + 11*z**3/3 + z**2. Give y(c(x)). -10*x - 44 Let f(i) = -3*i**2. Let w(c) = 675188*c**2 + 57*c. Calculate w(f(p)). 6076692*p**4 - 171*p**2 Let s(y) be the third derivative of y**5/30 + 4*y**2 + 142. Let i(c) = 1010*c**2. What is i(s(w))? 4040*w**4 Let f(y) = -4*y**2. Let k(w) = -19*w**2 - 4*w. Let g be (-10)/4*(4 - -5 - 7). Let n(j) = -20*j**2 - 5*j. Let h(p) = g*n(p) + 6*k(p). Give f(h(i)). -784*i**4 + 112*i**3 - 4*i**2 Let o(g) = 10*g**2 + g + 1. Let x(m) = 579*m**2 + 3*m + 3. Let u(i) = -6*o(i) + 2*x(i). Let d(k) = -3*k. Calculate d(u(l)). -3294*l**2 Let n(f) = -2*f. Let y(i) = 38*i + 17. Let q(d) = -19*d - 8. Let j(v) = 5*q(v) + 2*y(v). Let m(r) = -3. Let t(u) = 3*j(u) - 6*m(u). What is t(n(o))? 114*o Let r(u) be the third derivative of -u**5/60 - 23*u**4/12 + 206*u**2 - u. Let n(l) = 6*l**2. Determine r(n(m)). -36*m**4 - 276*m**2 Let h(z) = z + 4. Let o be h(3). Let g(f) = f**2 - 5*f. Let s(m) = -2*m**2 + 32999 + 7*m - 32999. Let x(d) = o*g(d) + 5*s(d). Let u(i) = -20*i. What is u(x(q))? 60*q**2 Let n(w) = w. Let d(q) be the second derivative of -247*q**4/4 - 1400*q. What is d(n(u))? -741*u**2 Let w(j) = -2*j + 527. Let l(z) = 64941*z. What is l(w(y))? -129882*y + 34223907 Let y(m) = -4*m + 2*m**2 + 4*m + 24. Let j(b) be the third derivative of 0*b**3 + 0*b**4 - 8*b**2 + 1/60*b**5 + 0*b + 0. Calculate y(j(a)). 2*a**4 + 24 Let c(r) = 2*r + 5. Let y(z) = z + 2. Let a(o) = -2*c(o) + 5*y(o). Let x(l) be the third derivative of -7*l**5/30 - 8*l**2. Give x(a(m)). -14*m**2 Let o(v) be the third derivative of 0 + 0*v**3 + 17/24*v**4 - 145*v**2 + 0*v. Let s(a) = 11*a. What is s(o(t))? 187*t Suppose l - 5 + 4 = 0, 4*l = -3*a + 70. Let n(h) = -35*h + a*h + 12*h. Let i(g) = -6*g - 4. Give i(n(y)). 6*y - 4 Let v(b) = -2*b. Let r(j) = -438*j + 1463*j**2 - 759*j**2 - 702*j**2. Determine v(r(w)). -4*w**2 + 876*w Let n(x) = 30*x + 11. Let o(p) = -28*p - 13. Let m(j) = -3*n(j) - 2*o(j). Let y(z) = -4*z. Determine y(m(g)). 136*g + 28 Let n(r) = -r**2. Let k(c) = -10*c + 2993300. What is k(n(g))? 10*g**2 + 2993300 Let n(p) = 12*p**2. Let i(l) = -884*l. Suppose 0 = 6*d - 290 + 1004. Let y(j) = 15*j. Let b(v) = d*y(v) - 2*i(v). What is n(b(z))? 3468*z**2 Let j(f) be the second derivative of 7*f**4/12 + 5438*f. Let t(z) = -475*z. Give t(j(a)). -3325*a**2 Let v(r) = 5*r**2. Let m(l) = 38936*l**2 - 12491*l**2 - 11953*l**2 - 13089*l**2. Calculate v(m(d)). 9842045*d**4 Let s(d) = 1597*d**2. Let p(x) = -55*x - 3. Let u(g) = 92*g + 5. Let q(o) = 5*p(o) + 3*u(o). What is q(s(n))? 1597*n**2 Let p(n) = -17*n**2 - 20046264*n + 1. Let w(u) = u**2. What is p(w(d))? -17*d**4 - 20046264*d**2 + 1 Let f(c) = -3*c**2. Let p(j) = 23*j - 4. Let d(n) be the second derivative of -8*n**3 + 9*n**2/2 + 45*n. Let t(r) = 4*d(r) + 9*p(r). Calculate f(t(q)). -675*q**2 Let w = -440 - -446. Let l(m) = 29*m**2 - 11. Let t(d) = -8*d**2 + 3. Let y(v) = w*l(v) + 22*t(v). Let q(z) = 314*z**2. Determine q(y(b)). 1256*b**4 Let w(h) = -113*h + 2356. Let p(o) = 41*o - 785. Let a(y) = 11*p(y) + 4*w(y). Let i(n) = -3*n. Calculate a(i(u)). 3*u + 789 Let p be 68/374 - (-40)/22. Let l(b) = 10*b**2 - b**p - 10*b**2. Let w(q) = -2*q + 7. What is w(l(a))? 2*a**2 + 7 Let s(r) = 171*r + 75. Let a(k) = 45*k + 20. Let o(b) = 15*a(b) - 4*s(b). Let t(j) = 164*j. What is o(t(x))? -1476*x Let b(f) be the second derivative of -513*f**3 + 10020*f. Let l(u) = -u**2. Determine b(l(q)). 3078*q**2 Let u(b) = 13*b - 24. Let y(v) = -4*v + 68 + 2*v - 29*v - 7*v. Let n(w) = -17*u(w) - 6*y(w). Let s(f) = -f**2. Calculate s(n(m)). -49*m**2 Let j(x) = 113585934*x**2. Let m(o) = 2*o. What is j(m(p))? 454343736*p**2 Let g(b) = 5*b**2 - 7 + 7 - 3*b**2. Let n(j) be the second derivative of -31/6*j**3 + 0 + 0*j**2 + 2*j. Calculate g(n(y)). 1922*y**2 Let r(x) = -x - 1. Let f(h) = 3*h - 3. Let g(z) = -f(z) + 3*r(z). Let o = -22 - -121. Let u(k) = -o*k + 99*k - 3*k**2. Calculate g(u(n)). 18*n**2 Let b(n) = 2*n**2. Let f be (837/155)/((-1)/5). Let c(y) = 57*y**2 + 54*y - 27. Let p(v) = 8*v**2 + 8*v - 4. Let i(j) = f*p(j) + 4*c(j). What is b(i(q))? 288*q**4 Let j(l) = l. Let s(x) = -50*x + 5. Let n(q) = 74*q - 4. Let m(t) = 2*n(t) + 3*s(t). Calculate m(j(p)). -2*p + 7 Let p(u) = -167*u. Let i(s) = 167523*s**2 + 2. Calculate p(i(c)). -27976341*c**2 - 334 Let h(v) = -2*v + 2*v - 43*v**2. Let k(m) = 4*m**2 - 2*m - 2. Let s(n) = -9*n**2 + 5*n + 5. Let p(j) = -5*k(j) - 2*s(j). Give h(p(u)). -172*u**4 Let i(x) = 9174*x. Let z(f) = -18*f - 122 + 274 + 15*f - 152. What is i(z(v))? -27522*v Let q(g) = -2896*g - 30. Let k(a) = 6*a**2. Determine q(k(l)). -17376*l**2 - 30 Let k(w) be the third derivative of w**5/3 - w**3 + 3*w**2 + 531*w. Let d(r) = -2*r. Determine d(k(f)). -40*f**2 + 12 Let t(y) be the second derivative of y**7/252 - y**4 + y**3/2 - 68*y. Let v(w) be the third derivative of t(w). Let c(r) = -3*r. What is c(v(m))? -30*m**2 Let t(b) be the second derivative of -5*b**4/12 - 9*b. Let v(w) be the third derivative of 0*w + 0*w**3 + 1/12*w**4 + 0 - 14*w**2. Give v(t(c)). -10*c**2 Let i(d) = 12*d. Let q(j) = -11607335*j**2. Give i(q(o)). -139288020*o**2 Let i(h) = -5*h. Let l = 12 + -6. Suppose -5*d = -2*p + l - 0, -p + 3 = 5*d. Let g(w) = p*w + 9*w - 16*w. Give g(i(q)). 20*q Let k(s) = -19*s**2 + s**2 + 18*s**2 - 2*s**2. Let a(f) = 4*f**2 + 72*f. Determine a(k(h)). 16*h**4 - 144*h**2 Let i(g) = 107333*g - 2. Let t(o) = -7*o. Give i(t(v)). -751331*v - 2 Let w(k) = -7415*k. Let p(r) = -37 + 62 - 11 + 2*r**2 - 14. What is p(w(i))? 109964450*i**2 Let a = -14 - -23. Let p(y) = 5*y - a*y**2 + 12*y**2 - 5*y. Let z(o) = 6*o - 5. Le
{ "pile_set_name": "DM Mathematics" }