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Suppose 3*y**4 + 876*y**3 + 56706*y**2 + 110796*y + 54963 = 0. What is y? -197, -93, -1 What is v in -v**3/5 - 1351*v**2/5 - 493544*v/5 - 24621644/5 = 0? -646, -59 Suppose 4*l**4 + 468*l**3 - 2412*l**2 + 3404*l - 1464 = 0. What is l? -122, 1, 3 Determine s so that 7*s**4/3 + 268*s**3/3 - 7799*s**2/3 - 6336*s - 1596 = 0. -57, -2, -2/7, 21 Suppose -j**2/5 - 78031*j/5 + 234102/5 = 0. What is j? -78034, 3 Determine u, given that -u**5 + 244*u**4 - 4977*u**3 + 20786*u**2 - 31148*u + 15096 = 0. 1, 2, 17, 222 Factor -w**2 - 3184*w + 267812. -(w - 82)*(w + 3266) Factor o**3 + 6*o**2 + 8*o. o*(o + 2)*(o + 4) Find b such that 5*b**2 - 49350*b - 197480 = 0. -4, 9874 Solve z**3/11 - 27702*z**2/11 + 191850201*z/11 = 0. 0, 13851 Factor -3*m**3 + 58251*m**2. -3*m**2*(m - 19417) Factor -5*j**4 + 27895*j**3 - 38892600*j**2 - 38920500*j. -5*j*(j - 2790)**2*(j + 1) Factor -2*p**2/7 - 30000*p/7 + 4286. -2*(p - 1)*(p + 15001)/7 Find g such that 5*g**3 + 110*g**2 - 12395*g - 355940 = 0. -37, 52 Factor -135*x**2/2 - 729*x/2 - 420. -3*(3*x + 5)*(15*x + 56)/2 Solve 484*g**3 - 2692*g**2 + 4960*g - 3024 = 0 for g. 189/121, 2 Factor -2*v**3 - 576*v**2 + 811104*v + 300892928. -2*(v - 664)*(v + 476)**2 What is o in 27*o**5 + 5112*o**4 + 49746*o**3 - 34872*o**2 + 5907*o = 0? -179, -11, 0, 1/3 Find w such that 6*w**5/17 - 144238*w**4/17 + 1155843196*w**3/17 - 3087770799132*w**2/17 + 2057614983774*w/17 + 1029000116394/17 = 0. -1/3, 1, 8013 Solve x**5 + 167*x**4 + 2126*x**3 - 2462*x**2 - 2127*x + 2295 = 0 for x. -153, -15, -1, 1 Determine r, given that r**2/6 - 63551*r/6 - 42370 = 0. -4, 63555 Suppose -20*b**5 + 392*b**4 - 1760*b**3 + 2752*b**2 - 832*b - 896 = 0. Calculate b. -2/5, 2, 14 Factor -x**4/5 - 824*x**3/5 - 47424*x**2 - 5299840*x - 154668800. -(x + 44)*(x + 260)**3/5 Factor -2*s**2/11 + 226*s/11 - 5964/11. -2*(s - 71)*(s - 42)/11 Find k, given that -k**5/2 + 334*k**4 + 2013*k**3/2 + 2*k**2 - 1342*k = 0. -2, 0, 1, 671 Find r, given that -2*r**3/17 - 144*r**2/17 + 105594*r/17 - 105448/17 = 0. -269, 1, 196 Let -4*t**3/5 + 512*t**2/5 - 14444*t/5 - 2992 = 0. What is t? -1, 44, 85 Suppose i**3/5 - 418*i**2/5 + 6101*i/5 - 22568/5 = 0. Calculate i. 7, 8, 403 What is y in 3*y**3 - 137319*y**2 - 274647*y - 137325 = 0? -1, 45775 Factor 5*f**2/4 + 9125*f/4 - 34500. 5*(f - 15)*(f + 1840)/4 Solve 22*m**4/5 + 8752*m**3/5 + 7142*m**2/5 - 1588*m/5 = 0. -397, -1, 0, 2/11 Factor -2*k**2 - 2512*k + 51040. -2*(k - 20)*(k + 1276) Suppose -2*p**4/17 - 42*p**3/17 - 108*p**2/17 = 0. What is p? -18, -3, 0 Find w, given that 18*w**4 + 2706*w**3 - 9143*w**2/2 - 1749*w - 152 = 0. -152, -1/6, 2 Solve -2*x**4 + 5564*x**3 - 38842*x**2 - 22256*x + 155400 = 0 for x. -2, 2, 7, 2775 Solve -i**3/4 - 877*i**2/4 - 47294*i + 341887 = 0. -442, 7 Let 6*x**5 + 1533*x**4 + 9774*x**3 + 15693*x**2 + 1470*x - 5976 = 0. Calculate x. -249, -4, -2, -1, 1/2 Solve 4*u**2/3 - 800*u/3 + 796/3 = 0 for u. 1, 199 Determine x, given that -3*x**3/2 - 1789*x**2 + 59331*x/2 + 54405 = 0. -1209, -5/3, 18 What is h in -h**4 + 248*h**3 - 8511*h**2 - 925348*h - 916588 = 0? -43, -1, 146 Let -4*r**4/3 + 299*r**3 - 51284*r**2/3 + 37111*r - 8214 = 0. Calculate r. 1/4, 2, 111 Solve -3*c**4 - 222*c**3 + 696*c**2 + 222*c - 693 = 0 for c. -77, -1, 1, 3 Determine m so that 5*m**5 + 385*m**4 + 3600*m**3 - 166060*m**2 - 169280*m = 0. -46, -1, 0, 16 Find y, given that y**4/5 + y**3/5 - 13*y**2 - 45*y = 0. -5, 0, 9 Suppose -x**3/2 + 134*x**2 - 6317*x/2 + 3025 = 0. Calculate x. 1, 25, 242 Factor n**5 - 106*n**4 + 3373*n**3 - 29892*n**2 + 79524*n. n*(n - 47)**2*(n - 6)**2 Solve 3*i**5/5 + 354*i**4/5 - 1302*i**3/5 - 26304*i**2/5 - 64581*i/5 - 7986 = 0. -121, -5, -2, -1, 11 Determine d, given that -d**4/4 + 657*d**3/2 + 63439*d**2/4 + 179796*d - 195984 = 0. -24, 1, 1361 Factor 4*y**2 + 88760*y - 177536. 4*(y - 2)*(y + 22192) Factor -3*l**2/4 - 69*l/4 - 57. -3*(l + 4)*(l + 19)/4 Find z, given that 2*z**4/23 - 1904*z**3/23 + 493860*z**2/23 - 18960768*z/23 + 18468810/23 = 0. 1, 45, 453 Factor -4*v**3 - 636*v**2 - 19952*v. -4*v*(v + 43)*(v + 116) Factor -g**3 - 99*g**2 + 102*g + 200. -(g - 2)*(g + 1)*(g + 100) Find l, given that 2*l**2/5 + 14122*l/5 - 155584/5 = 0. -7072, 11 Determine p, given that 4*p**3 - 21620*p**2 - 260128*p + 606704 = 0. -14, 2, 5417 Find n, given that -2*n**2 - 3658*n + 10992 = 0. -1832, 3 Solve -2*r**5 + 3268*r**4/7 - 216990*r**3/7 + 3059208*r**2/7 - 11407392*r/7 - 7558272/7 = 0 for r. -4/7, 9, 108 Find a, given that -2*a**3/13 - 30044*a**2/13 - 112770130*a/13 + 451561352/13 = 0. -7513, 4 Factor 2*g**5/13 - 146*g**4/13 + 1364*g**3/13. 2*g**3*(g - 62)*(g - 11)/13 Solve -4*f**3 + 140*f**2 + 1528*f + 2464 = 0. -7, -2, 44 Let 4*v**3 - 53152*v**2 + 265676*v - 212528 = 0. What is v? 1, 4, 13283 Factor -u**3/5 - 2418*u**2/5 + u/5 + 2418/5. -(u - 1)*(u + 1)*(u + 2418)/5 What is f in 35*f**4/11 - 77291*f**3/11 + 16238*f**2 + 13636*f + 26472/11 = 0? -2/5, -2/7, 3, 2206 Factor -2*d**2/5 + 69578*d/5 + 139196. -2*(d - 34799)*(d + 10)/5 Let 105*l**4 + 21201*l**3 - 44664*l**2 + 2460*l + 2448 = 0. Calculate l. -204, -1/5, 2/7, 2 Solve -5*z**5 - 835*z**4 + 18110*z**3 - 109430*z**2 + 167895*z - 75735 = 0 for z. -187, 1, 9 Factor -h**3/3 - 2080*h**2/3 - 1077428*h/3 + 4343056/3. -(h - 4)*(h + 1042)**2/3 Determine b so that b**5/4 + 167*b**4/2 + 2321*b**3/2 - 11345*b**2 + 75493*b/4 - 17545/2 = 0. -319, -22, 1, 5 What is x in -12*x**4/5 - 4532*x**3/5 - 31572*x**2 - 1419756*x/5 + 98192 = 0? -340, -19, 1/3 Factor -g**3 - 218*g**2 - 15721*g - 374460. -(g + 60)*(g + 79)**2 Suppose 15*g**4 - 4855*g**3 - 21255*g**2 - 21305*g - 4920 = 0. Calculate g. -3, -1, -1/3, 328 Let -3*m**5 - 5562*m**4 - 137094*m**3 + 148224*m**2 + 137097*m - 142662 = 0. What is m? -1829, -26, -1, 1 Factor -2*b**3 + 339772*b**2. -2*b**2*(b - 169886) Factor -s**2/4 - 60519*s/2 - 3662549361/4. -(s + 60519)**2/4 Solve i**5/7 - 222*i**3/7 - 1052*i**2/7 - 1443*i/7 - 612/7 = 0 for i. -12, -3, -1, 17 Suppose 4*i**2 + 43176*i + 116510436 = 0. Calculate i. -5397 Factor 2*i**3/3 - 35300*i**2/3. 2*i**2*(i - 17650)/3 Factor -n**2 + 172482*n - 7437510081. -(n - 86241)**2 Factor r**3/3 + 3053*r**2/3 + 2331728*r/3 + 2328676/3. (r + 1)*(r + 1526)**2/3 Suppose -j**2 + 41069*j + 82142 = 0. Calculate j. -2, 41071 Solve d**2/9 - 14569*d/9 + 4856/3 = 0. 1, 14568 Let -h**4 - 2473*h**3 + 39760*h**2 - 159296*h = 0. Calculate h. -2489, 0, 8 Let -3*s**4/4 - 222069*s**3/4 - 666135*s**2 - 2664444*s - 3552528 = 0. What is s? -74011, -4 Factor k**4/2 + 94*k**3 + 739*k**2/2 + 276*k. k*(k + 1)*(k + 3)*(k + 184)/2 Suppose 20*n**4 + 373036*n**3 - 447684*n**2 - 223820*n + 298448 = 0. Calculate n. -18653, -4/5, 1 Solve 3*p**3 + 1230*p**2 - 7488*p = 0 for p. -416, 0, 6 What is a in 3*a**2 - 525*a - 31302 = 0? -47, 222 Factor -y**4 - 376*y**3 - 5478*y**2 - 22792*y - 17689. -(y + 1)*(y + 7)**2*(y + 361) Solve -20*c**2 + 131605*c - 32900 = 0 for c. 1/4, 6580 Factor -5*j**3 + 672890*j**2 - 22639047605*j. -5*j*(j - 67289)**2 Factor -f**3/2 - 205*f**2 - 21614*f - 122412. -(f + 6)*(f + 202)**2/2 Determine n so that -5*n**3 + 111750*n**2 + 223515*n + 111760 = 0. -1, 22352 Let h**3/7 - 40*h**2/7 - 47*h = 0. What is h? -7, 0, 47 Factor -3*i**4/2 + 2085*i**3 + 31500*i**2 + 157875*i + 526875/2. -3*(i - 1405)*(i + 5)**3/2 Let 12*f**5 - 8536*f**4 + 36828*f**3 - 45264*f**2 + 11312*f = 0. What is f? 0, 1/3, 2, 707 Find z, given that z**5 + 10*z**4 + 12*z**3 - 40*z**2 - 64*z = 0. -8, -2, 0, 2 Factor 3*h**3 + 453*h**2 - 8910*h + 36504. 3*(h - 12)*(h - 6)*(h + 169) Find j, given that j**2/2 - 522785*j + 273304156225/2 = 0. 522785 Find h, given that -15*h**5 + 16015*h**4 - 4223295*h**3 - 27620515*h**2 + 60471570*h + 23069520 = 0. -8, -1/3, 2, 537 Find m, given that m**4/2 + 2939*m**3 + 8713797*m**2/2 + 111793682*m + 723444722 = 0. -2926, -13 Let -2*o**4/3 + 10*o**3/3 + 88*o**2/3 + 40*o = 0. What is o? -3, -2, 0, 10 Let n**4/5 + 6*n**3/5 - 3267*n**2/5 - 9828*n/5 + 2683044/5 = 0. What is n? -42, 39 Solve -3*z**4/5 + 5958*z**3/5 - 3051072*z**2/5 + 91441338*z/5 + 94498371/5 = 0. -1, 33, 977 Factor 5*w**2 + 58690*w + 820680. 5*(w + 14)*(w + 11724) Factor 5*t**5 + 40*t**4 - 105*t**3 - 540*t**2. 5*t**2*(t - 4)*(t + 3)*(t + 9) Factor -y**3/7 + 2089*y**2/7 - 4171*y/7 - 6261/7. -(y - 2087)*(y - 3)*(y + 1)/7 Factor -15*y**2/2 - 1861885*y/6 - 2068
{ "pile_set_name": "DM Mathematics" }
multiple of 5? False Let n(a) = -2*a**3 + 13*a**2 - a - 6. Let u = 39 - 33. Is n(u) a multiple of 3? True Suppose -5*d + 40 = -3*d. Let h = -16 + d. Suppose -2*a = -h*a + 78. Is a a multiple of 13? True Let k(g) = -4*g - 63. Let l be k(-16). Let o = 15 + l. Is o a multiple of 8? True Suppose -1134 = -5*n - 2*r + 4350, -5*r = -5*n + 5470. Is n a multiple of 17? False Suppose h - 6*h + 31 = -4*g, -5*g + 26 = 3*h. Suppose 0 = -2*t + 5*p + 110, -h*t = -6*t + 3*p - 44. Is 17 a factor of t? False Let l = 40 - 39. Let w(f) = 60*f**3 - 2*f**2 + 2*f. Is w(l) a multiple of 15? True Let r = 160 - -265. Does 26 divide r? False Let y(u) = u**2 + 4*u + 3. Suppose 4*z + 14 + 18 = 0. Let j be y(z). Let r = 59 - j. Is r a multiple of 10? False Suppose 2*s + 4 = 8. Suppose 272 = 4*h - 2*f, f + 136 = 2*h - s*f. Is 17 a factor of h? True Let f = -52 + 53. Suppose -f = 2*q - 229. Is 21 a factor of q? False Let p = -763 + 1108. Is 23 a factor of p? True Does 15 divide (3 + -2)*(-2 + 8 - -437)? False Does 5 divide (-404)/(-1) - 1/((-1)/(-4))? True Let q(y) = -369*y + 13. Is q(-1) a multiple of 89? False Let l = 6101 - 2945. Does 31 divide l? False Suppose -123 = -2*x + 3*g, 0 = 3*x - 5*g - 50 - 135. Suppose 0*u - x = -2*u. Suppose -2*a + 14 = -u. Is a a multiple of 11? True Suppose -11*h - 7 = -975. Is 17 a factor of h? False Suppose -c = -5*t + 2*c + 909, 2*c - 736 = -4*t. Is t a multiple of 4? False Let j = -30 - -25. Is (-19 + 2)/(j - -4) a multiple of 17? True Let n be (-15)/(-6)*-2*-1. Does 4 divide (n/10)/(-2*(-2)/384)? True Suppose 275 + 1958 = 7*w. Is 11 a factor of w? True Suppose 2*h = -5*t + 4*h - 2, -3 = 2*t - 3*h. Let f = t + 13. Is 7 a factor of f? False Let z(q) = 2*q - 6. Let f be z(8). Suppose 0 = 4*o - 9*o + f. Suppose 2*y + 44 = o*n, n - 4*y + 12 = 2*n. Is n a multiple of 8? False Let s = -5 + 67. Let b be s/4 - 2/(-4). Let g = b - 5. Is 11 a factor of g? True Let b = 24 - 7. Suppose -b*o + 716 = -13*o. Is o a multiple of 28? False Let b = 86 - 86. Suppose -4*s - 2*g + 72 = b, 2*s + s - 55 = -g. Is 17 a factor of s? False Let v be 6*4/(-6) - -6. Suppose -j = v*x - 16, -88 = -5*j + 5*x + 52. Is j a multiple of 8? True Let w be 48/10 - (-2 - 28/(-10)). Let j = -4 + 7. Suppose 9 = w*y - j*y. Does 5 divide y? False Let h be 6/4 + ((-10)/4 - -1). Suppose 66*z - 64*z - 364 = h. Is 22 a factor of z? False Let b(j) = 196*j**2 + 9*j - 4. Is 14 a factor of b(2)? True Let g(q) be the second derivative of -q**7/2520 + 7*q**6/360 - 17*q**5/120 - 5*q**4/12 + 5*q. Let z(n) be the third derivative of g(n). Is 8 a factor of z(11)? True Suppose 4*a - 20 = 5*u + 3*a, -25 = 3*u + 2*a. Let y = u - -35. Does 10 divide y? True Suppose 0*d + s = -5*d + 2030, -d - 4*s = -425. Does 15 divide d? True Let o(h) = 72*h**2 + 1. Let m be o(1). Let g = m + 65. Suppose 2*a = g - 48. Is a a multiple of 15? True Suppose -39*q + 38*q = o - 3569, 2*o + 3566 = q. Is 54 a factor of q? False Suppose -155 = -3*z + 106. Let d = z + 39. Does 14 divide d? True Let w = 1323 - 743. Is 29 a factor of w? True Let y be -2*21/(-56) + (-3)/4. Let a(p) = p - 1. Let i be a(5). Suppose -4*z - 3*t = -y*t - i, 0 = t + 4. Is z a multiple of 4? True Let h = -80 - -81. Is 13 a factor of 108*((-4)/(-3))/h? False Suppose -4 = y - 7. Suppose y*f = -0*t - 3*t + 24, -3*t = -5*f - 24. Is (-9)/36 + 26/t a multiple of 2? False Let h = -196 - -3692. Is h a multiple of 19? True Suppose -106*r + 101*r + 6090 = 0. Does 58 divide r? True Let i(a) = a**3 - 6*a**2 - 4*a. Suppose -5*m + 31 = k, -5*m + 3*m + 26 = -3*k. Is 7 a factor of i(m)? True Suppose 2351 = -11*i + 16013. Is 94 a factor of i? False Suppose 3*u - w - 861 = 0, 0 = u - 2*u - w + 291. Is 18 a factor of u? True Suppose 0*f = 3*b - 2*f, 0 = -2*b + f - 1. Does 36 divide (3 + 3)*38*1 + b? False Suppose 0 = 4*b + 4*i - 4, 3*b - 4*i + 0 = 10. Let p = b - -22. Is p a multiple of 7? False Suppose -2*f + 528 = 2*w, -3*w + 268 = -2*w + 5*f. Let v = -183 + w. Is 16 a factor of v? True Let x be 4*((-35)/14)/(1/8). Let r = 205 + x. Is r a multiple of 25? True Let i(y) = -74*y + 1748. Is 76 a factor of i(0)? True Let l(w) = w**2 - w. Let i(a) = 4*a**2 - 2*a - 2. Let m(f) = i(f) - 3*l(f). Let h be m(2). Does 10 divide (21/(-2))/((-2)/h)? False Let r(u) = u**2 - 4*u + 6. Let f = 39 + -36. Let b be r(f). Suppose b*c - 48 - 54 = 0. Does 34 divide c? True Let n(v) = -v**3 - 21*v**2 - 37*v - 123. Is n(-22) a multiple of 10? False Let p(j) = 579*j**2 + 6*j + 5. Is p(-1) a multiple of 21? False Suppose 13*i = 16*i - 5112. Is i a multiple of 28? False Let p = -1335 + 2270. Is p a multiple of 11? True Suppose 0 = 3*m - 5*z - 0*z + 27, -2*m + 4*z = 20. Is (4 + m)/(-1) + 44 a multiple of 11? True Let a = -14 - -16. Let t = 18 - a. Is 4 a factor of t? True Let t(y) = -348*y + 3. Is t(-6) a multiple of 41? True Let r(z) = -38*z - 1161. Is r(-46) a multiple of 25? False Let x be 8/(-20) + (-2)/(-5). Suppose 0 = 2*w - x*w - 4. Suppose -3*k + 26 - w = 0. Is k a multiple of 8? True Let t(s) = -s + 7. Let m be t(4). Let r(l) = -l + 19*l**2 - 4 + 11 - l**m - 28*l**2. Does 18 divide r(-10)? False Let o(f) = -f**2 - f. Let d(r) = -2*r**2 - 4*r + 1. Let v(g) = 2*d(g) - 6*o(g). Let s be v(1). Suppose -s*q + 8 = -4*a, -2*a = 3*q - 6*a - 16. Does 8 divide q? True Let t(j) = -j**3 + 13*j**2 - 12*j + 17. Let r(z) = -1. Let p(y) = -r(y) + t(y). Is 32 a factor of p(11)? True Suppose -4*b = 348 - 120. Let i = 60 + b. Is i a multiple of 2? False Suppose -3*d + 3*w + 114 = 300, 3*d + 192 = -3*w. Let a = d + 108. Is a a multiple of 9? True Let n(x) = 4*x**3 - 2*x + 2. Let c(b) = -8*b**3 + b**2 + 4*b - 4. Let u(g) = -3*c(g) - 5*n(g). Is u(3) a multiple of 8? False Is 82 a factor of 126/49*(-4 + 578)? True Suppose 0 = -9*c + 5*c + 12. Suppose 285 = 5*q + 2*y, q + c*y - 34 = 10. Suppose 15 - q = -4*s. Is s a multiple of 6? False Suppose 1417 = -72*f + 85*f. Is 8 a factor of f? False Let r = -27 - -32. Suppose -4*j + 7*x + 523 = 2*x, -x + 690 = r*j. Does 15 divide j? False Let u(n) = n**3 - 6*n**2 - 6*n + 3. Let d be u(7). Suppose -c + 1386 = d*c. Is 18 a factor of c? True Let h(w) = -37*w - 85. Is 5 a factor of h(-6)? False Suppose 0 = 9*j - 17*j + 1408. Is 22 a factor of j? True Let c(o) = o**3 + 2*o**2 + o + 2. Let m be c(-2). Let f be 0 - (-1 - 7) - 4 - -1. Suppose m = f*x - 16 - 114. Is 13 a factor of x? True Suppose 2*k + 30 - 56 = 5*q, 4*q + 4 = -4*k. Let t(w) = 78*w + 1. Let c be t(1). Suppose k*f = 50 + c. Is f a multiple of 9? False Let t = -9 + 13. Let b be (t - 3) + 7 + 1. Is (-6*1)/((-2)/b) a multiple of 9? True Let k = 89 - 110. Is 6 a factor of 69 - (18/(-21))/(6/k)? True Suppose -4*s = 20, 2*p - 448 = p + 5*s. Suppose 117 + p = 5*i. Does 11 divide i? False Suppose -11 = 5*n - 31. Suppose n*i = a + a + 306, 0 = 5*i + 5*a - 420. Is 5 a factor of i? False Is (-3 - 4) + 2254 + 17 a multiple of 55? False Let s(w) be the third derivative of -w**5/20 - 7*w**4/8 - w**3/3 + 3*w**2. Is 16 a factor of s(-6)? True Let x(m) = -29*m + 25. Let v be x(-8). Suppose 5*z + 80 = -k + v, -2*k - 186 = -5*z. Is z a multiple of 32? False Suppose 3 = 5*u - a, 0*a + a + 3 = -4*u. Suppose u = -4*c - c - 3*k + 175, -3*k = -15. Is 6 a factor of c? False Suppose 4*r - 16 = 32. Suppose -27 - r = -2*n - 3*t, -3*n - 5*t + 60 = 0. Is n a multiple of 7? False Let n = 89 - 87. Is n/(-4) - (-1)/((-6)/(-417)) a multiple of 5? False Suppose 7*r = -10 - 53. Let t(h) = -2*h - 18. Let x be t(r). Is x - (-3 - 8*14) a multiple of 19? False Suppose -k - 68 = -2*i, 5*i - 4*k - 165 = k. Let l = 25 - 12. Suppose l = 2*b - i. Does 6 divide b? True Suppose -2*a - 72 = -4*k, a + 3*k = -3*a - 100. Let o = a + 33. Does 2 divide o? False Let t(m) be the second derivative of m**4/6 - m**3/6 - m**2/2 + 3*m. Let n be t(2). Suppose n*p - 100 = -2*d + 60, 3*p + d - 95 = 0. Is p a multiple of 15? True Is 7/14*3/((-6)/(-2384)) a multiple of 18? False Let p = -876 - -1396. Does 10 divide p? True Let i = 486 + 171. Suppose 2*p = 2*j - 0*j - 434, -p = -3*j + i. Is j a multiple of 55? True Let u = 417 + -266. Let n = u + -14. Does 17 divide n? False Is 23 a factor of (10 - 149/15) + (-10244)/(-15)? False Let q be 1 + -1 + 0 + -2. Suppose -6 = -3*l - 3*o, -3*l - 13 = -4*o + 16. Is 3 a factor of (1 + l)/(q/3)? True Let w(s) = -2*s**3 - 3*s**2 + 1. Let
{ "pile_set_name": "DM Mathematics" }
= -85 - -86.03. Let r = t - 1.03000194. What is r rounded to 7 decimal places? -0.0000019 Let y = -26 - -3. Let q = y + 22.45. Let w = q + 1. What is w rounded to 1 dp? 0.5 Let x(y) = -20400*y. Let z = -7 - -2. Let p be x(z). Round p to the nearest 10000. 100000 Let f = 170.65685684826 - -1806277.22314405174. Let c = f - 1806448. Let l = c + 0.12. Round l to 7 decimal places. 0.0000009 Let j be ((-2)/4)/(2/8). Let h be (-1 + j + 1)*-31000. Round h to the nearest 10000. 60000 Suppose 13*r + 76440 = 17*r. Round r to the nearest one thousand. 19000 Let v be (-3)/6 - 6002670/4. Suppose r = -348770 - 421898. Let c = r - v. What is c rounded to the nearest one hundred thousand? 700000 Let k = -17.00000168 + 17. What is k rounded to 7 decimal places? -0.0000017 Let h(w) = 1450002*w + 2. Let u be h(-1). Round u to the nearest 100000. -1500000 Suppose -5*g - 62000 = -10*g. Round g to the nearest one thousand. 12000 Let w(h) = 201999*h - 1. Let c be ((-3)/12*-4)/(-1). Let y be w(c). Round y to the nearest ten thousand. -200000 Let l = 2785557 - 2785570.59917. Let x = 13.6 + l. Round x to four decimal places. 0.0008 Let i = -6432 + 4402. What is i rounded to the nearest 100? -2000 Suppose 4*k + 3*i + 32000002 = i, 0 = 4*k + 3*i + 32000003. Round k to the nearest 1000000. -8000000 Let l be (2 - 0)/2*-8095. Let t = -15095 - l. Round t to the nearest 10000. -10000 Let h = -31 - -31.0000023. Round h to seven decimal places. 0.0000023 Let x = 5.52 + 1.6. Let f = 7 - x. Let o = 0.78 - f. What is o rounded to zero dps? 1 Let g(q) = -2*q - 3. Let o be g(-3). Suppose z + 0*h - 5399996 = -4*h, -z = -o*h - 5400003. What is z rounded to the nearest 1000000? 5000000 Let f be (-1 + -58)*(6 + -4). Round f to the nearest ten. -120 Let g = -3.02 - -0.02. Let b = -2.3 - g. Let u = 0.724 - b. Round u to two decimal places. 0.02 Suppose 0 = 2*x + 2*x - 12. Suppose -x*q = -q - 8. Suppose 2 = q*h + 3*y - 2, -2*h - 5*y = -16. What is h rounded to 0 dps? -2 Let i = -6.0999951 - -6.1. Round i to 6 dps. 0.000005 Let d be (16/(-3))/(8/(-36)). Let h be (22400/d)/(4/(-150)). Round h to the nearest 10000. -40000 Let b = 7 + -11. Let m = 4 + b. Let q = m - -0.00031. What is q rounded to four dps? 0.0003 Let v = 1.7 - 1.7003. What is v rounded to 3 dps? 0 Let a = 0.117 + -0.11700732. What is a rounded to six decimal places? -0.000007 Suppose -3*s - h = -8*s + 19350415, -2*s - h + 7740159 = 0. Let c = s + 9829918. Round c to the nearest 1000000. 14000000 Let f be (-133505 - -5)/(6/(-40)). What is f rounded to the nearest one hundred thousand? 900000 Let a = 13.7 - -0.3. Let f = 14.00000043 - a. What is f rounded to 7 dps? 0.0000004 Let r = -20.029 + 0.029. Let s = r - -19.953. Let d = s - -0.03. What is d rounded to two dps? -0.02 Suppose 5 = 2*j + 3*t, -3*j + 45 = 2*j + t. Let f be (12/30)/(2/j). Suppose -2*s - f*s - 30400000 = 0. What is s rounded to the nearest one million? -8000000 Let h(g) be the second derivative of 2533*g**4/4 + g**3 - 5*g**2/2 + 3*g. Let m be h(5). Round m to the nearest 100000. 200000 Let i(c) = c - 2. Let w be i(-5). Let a = -3 - w. Suppose 0 = -a*u - 0*u. What is u rounded to six decimal places? 0 Let v = 33.27 - 33. Let y = -0.91 + v. Round y to 1 dp. -0.6 Let c = -22 + 27. Let s be 4/10 - (-46)/10. Suppose 999980 = -5*t - c*z, 3 + s = 2*z. Round t to the nearest one million. 0 Let o = -383 - -382.999771. Round o to five dps. -0.00023 Let t = 16 - 28. Let p = 12.689 - 0.949. Let i = t + p. Round i to one decimal place. -0.3 Suppose -5*u = -2*x - 17, -2*u + 6*u - 4*x = 4. Suppose -2*i + 3*w - 95 = -826, -4*i = u*w - 1495. What is i rounded to the nearest 100? 400 Let r = 0.348243 + 0.086021. Let f = r + -8.434234. Let h = 8 + f. Round h to four dps. 0 Suppose n = -4*j + 71198, 2*n + 0*n + 35604 = 2*j. What is j rounded to the nearest one thousand? 18000 Suppose -6*p + 69697 = 16897. What is p rounded to the nearest one thousand? 9000 Let v = -0.41 - -19.41. Let r = 19.0000106 - v. Round r to 6 decimal places. 0.000011 Let d = 972662.39917 + -972720.4. Let z = 58 + d. What is z rounded to 4 decimal places? -0.0008 Let v = 3535.94991 - 3536. Let j = 0.05 + -0.1. Let t = v - j. What is t rounded to 5 decimal places? -0.00009 Let i(j) = j**2 + 3*j**3 + 2 - 3*j + 4*j - 11*j**3 - 1. Let a be i(-2). Round a to the nearest 10. 70 Suppose -15891 = -13*h + 16999. What is h rounded to the nearest one hundred? 2500 Let f = -3.3 - -1.8. Round f to the nearest integer. -2 Let z = -0.11 - 0. Let s = z - -9.51. What is s rounded to 0 dps? 9 Let l = -52.9 - -52.8393. What is l rounded to 2 decimal places? -0.06 Let f = -25.1 - -24.515. What is f rounded to one dp? -0.6 Let t be 6/(-15) + (-54)/(-10). Suppose -3*j - 1 = -2*n, -5*n = -0*n - 5*j - t. Suppose n*q = 353 - 27. Round q to the nearest ten. 160 Let m = -0.594 - -0.71. Let z = 11.8 + -11.286. Let j = m + z. Round j to one decimal place. 0.6 Let a = -128 - -127.9999056. Round a to 5 decimal places. -0.00009 Let t = 14 + -22. Let c = -6 - t. Let b be (-47)/c - 2/4. What is b rounded to the nearest 10? -20 Let d = -374 + 406.7. What is d rounded to the nearest integer? 33 Let h = -10597 - -54597. What is h rounded to the nearest ten thousand? 40000 Let l = 3 - 8. Let c = l + 4.888. Round c to 2 decimal places. -0.11 Let n = -14.99999946 + 15. Round n to 7 dps. 0.0000005 Let x = 226.579 - 226.418987. Let v = -0.9 - -0.74. Let n = v + x. What is n rounded to 5 dps? 0.00001 Let m = 37 + -86. Let y = m + 83. Let c = 33.99981 - y. What is c rounded to four dps? -0.0002 Let l(u) = -43*u + 1. Let a(d) = 215*d - 6. Let w(y) = -2*a(y) - 11*l(y). Let g be w(3). Round g to the nearest 10. 130 Suppose -3*g + 1016 = -253. Let u = g + -213. Round u to the nearest 100. 200 Let t(n) = -72800*n**3 - n**2 - 4*n + 5. Let m be t(-5). Round m to the nearest one million. 9000000 Let t = -7.06447 + 36.06317. Let q = -29 + t. What is q rounded to 3 decimal places? -0.001 Suppose 4*a - 2*x - 4 = 2*x, 0 = -4*a - x + 14. Suppose 3*j - h = -0*h - 959998, -a*j - 959992 = -4*h. What is j rounded to the nearest 100000? -300000 Let k be 6/(-4)*190/15. Round k to the nearest ten. -20 Let c be 0/((-12)/4 - -5). Suppose 0 = -3*l - c*l + 99000. Round l to the nearest 10000. 30000 Let f = 13.2 + 1. What is f rounded to the nearest integer? 14 Let d = 181 - 180.9999706. Round d to six decimal places. 0.000029 Let c = -6.3929 - -6.4. Round c to 3 decimal places. 0.007 Let f = -15.64 - 0.36. Let b = 16.00000095 + f. Round b to seven dps. 0.000001 Let v(l) = l**3 + 11*l**2 - l - 12. Let p be v(-11). Let w be 1451994/(-12) - p/(-2). Round w to the nearest ten thousand. -120000 Let t = 3.725 + -0.085. Let m = 2.6 - t. Round m to 1 dp. -1 Suppose -2*w = -6*w - 32. Let j = 2 - w. Round j to zero dps. 10 Let s = -1 + 4. Suppose -5*v + 238 = -4*b, 5*v + s*b - 256 = b. Let o be (-2680*v)/((-3)/(-15)). Round o to the nearest 100000. -700000 Let i = -3.1 - -3.09936. Round i to 4 dps. -0.0006 Let r = 229.68 - -721.186. Let z = r - 950. Let m = -0.046 + z. Round m to one dp. 0.8 Suppose 2*q - 3*q + 282 = -2*o, -2*o - 5*q - 306 = 0. Round o to the nearest 10. -140 Let m = 105740 - 73387. Suppose 5*l - 2682353 = -m. Round l to the nearest one hundred thousand. 500000 Let d = -3.7 + -37.3. Let c = 7045296.00069 + -7045255. Let b = c + d. What is b rounded to four dps? 0.0007 Let g = 261571160 - 395450363. Let c = 133879101.999947 + g. Let a = 101 + c. What is a rounded to 5 dps? -0.00005 Let i = -1001627 - -1669627. Let k be (-30)/(1 + (-668012)/i). What is k rounded to the nearest 100000? 1700000 Let m = -0.0244043 + 290.0814043. Let z = m - 289.857013. Let s = z - 0.2. What is s rounded to 5 decimal places? -0.00001 Suppose 400333 = -5*l + 4*h + 70353, 3*l = 4*h - 197980. Round l to the nearest 10000. -70000 Let s = 79 - 78.51. Let o = -0.19 - s. Round o to one dp. -0.7 Let d = 1.792 + -15.602. Let b = d - 0.19. Let z = 14.00000036 + b. What is z rounded to 7 decimal places? 0.0000004 Let r = -1.6 - -1.8. Let j = -55.924955 + 55.725. Let a = j + r. Round a to 5 decimal places. 0.00005 Let x = 0.098 + -0.628. Let f = 0.529899 + x. What is f rounded to five decimal places? -0.0001 Let t = -91 - -89.95. Round t to one dp. -1.1 Suppose -4*v + 4*d = 0, v + 4*v - 4*d = 0. L
{ "pile_set_name": "DM Mathematics" }
Let n(m) = -m. Let c(r) = 121820*r. What is c(n(z))? -121820*z Let o(m) = -3*m - m + m. Let f(z) be the first derivative of 23 + 0*z + 1/2*z**2. Calculate o(f(s)). -3*s Let z(c) = -43377*c. Let b(q) = -21*q**2. Calculate b(z(h)). -39512846709*h**2 Let o(a) = 11 + 344*a - 286*a - 11. Let d(m) = m. Calculate d(o(q)). 58*q Let n(w) be the first derivative of -w**2 + 3. Let u(y) be the first derivative of 17*y**3/3 + 1926. Calculate u(n(j)). 68*j**2 Let a(w) = 7187*w. Let z(y) = 89*y**2. What is a(z(x))? 639643*x**2 Let b(m) = -m - m**2 - 275 + 275. Let j(x) = 5*x**2 + 4*x. Let p(y) = -12*b(y) - 3*j(y). Let g(h) = 6*h. What is p(g(o))? -108*o**2 Let s(w) = -2*w**2. Let p(f) be the third derivative of 47*f**4/4 + f**3/3 - 179*f**2. What is s(p(y))? -159048*y**2 - 2256*y - 8 Let t(p) be the third derivative of 2*p**4/3 - 2*p**2 - 72*p. Let w(h) = -14*h. Give t(w(r)). -224*r Let u(o) = -19*o**2. Let z(a) be the third derivative of -a**4/12 - 21*a**2. Determine u(z(s)). -76*s**2 Let j(b) = b. Let o(n) = 69137*n. Give o(j(f)). 69137*f Suppose 3*d + f - 9 = -f, 3*d - 5*f = -12. Let n(u) be the first derivative of 0*u + 3/2*u**2 + d. Let l(k) = -2*k**2. What is l(n(v))? -18*v**2 Let x(a) be the first derivative of 2*a**6/45 - 5*a**3/3 - 10. Let n(s) be the third derivative of x(s). Let l(h) = h**2. What is l(n(z))? 256*z**4 Let o(f) = 2 - 5 - 3*f + 3. Let a(l) = -4*l + 3943 - 3943. Calculate o(a(d)). 12*d Suppose 2*v - 41 = 3*r, -v + 2*r + 21 = r. Let g(z) = 22*z + z**2 - v*z. Let f(k) = -3*k. Determine g(f(c)). 9*c**2 Let h(r) be the third derivative of r**5/60 - 65*r**3/6 + 171*r**2. Let f(m) = -5*m. What is h(f(a))? 25*a**2 - 65 Let x(o) = 2983*o. Let c(b) = -183*b. Determine x(c(m)). -545889*m Let x(l) = 39*l**2 + 4*l. Let y(b) = 6*b**2 - 2. Give x(y(u)). 1404*u**4 - 912*u**2 + 148 Let k(o) be the second derivative of 3*o**3/2 + 3*o. Let n(g) = -g + g + 0*g - 3*g. Give k(n(p)). -27*p Let p(u) = -u**2. Let v be 1 + 4*(-3)/(-4). Suppose 40 = v*l + 8. Let z(j) = -l*j + 4*j + 5*j + j. Determine p(z(f)). -4*f**2 Let z be 16/(-4)*1 + 4. Let i(b) be the third derivative of 0 + z*b**3 + 1/24*b**4 - b**2 + 0*b. Let u(l) = -10*l. Calculate u(i(s)). -10*s Let l(q) = 48*q**2. Let x(a) be the second derivative of -a**4/12 + 134*a + 1. Give x(l(n)). -2304*n**4 Let t(k) = 13*k**2 - 1. Let d(m) = -120*m - 50*m**2 + 58*m**2 + 120*m. What is t(d(g))? 832*g**4 - 1 Let i(y) = -16*y**2 - 2*y. Let g(s) = 2202*s**2. Calculate i(g(b)). -77580864*b**4 - 4404*b**2 Let t(j) = 5*j. Let m(g) = -g - 1. Let i(s) = 40*s + 44. Let q(r) = -2*i(r) - 88*m(r). Give q(t(b)). 40*b Let y(l) = 25*l**2. Let s(b) = -23*b - 25. Let q(h) = -333*h - 360. Let z(c) = -5*q(c) + 72*s(c). Determine z(y(x)). 225*x**2 Let j(c) = -2567*c. Let q(w) = -39*w**2. Calculate q(j(x)). -256990071*x**2 Let i(h) = -22*h**2 - 193691*h + 193691*h. Let y(s) = -23*s**2. Determine i(y(t)). -11638*t**4 Let h(p) = 297*p**2. Let g(o) be the first derivative of -o**2/2 + 45. Determine h(g(x)). 297*x**2 Let h(d) = d**2 + 3*d**2 - 1 + 1. Let a(r) = -9*r**2. What is h(a(c))? 324*c**4 Let y(o) be the first derivative of -13*o**3 + 613. Let h(m) = 25*m. Give y(h(k)). -24375*k**2 Let d(o) = -369*o. Let i(r) = 90*r. Give i(d(j)). -33210*j Let m(d) be the first derivative of -1/2*d**2 - 18 + 0*d. Let q(u) = u. What is m(q(i))? -i Let z(r) = -2*r. Let t(w) be the third derivative of -w**7/1260 - w**5/20 - 2*w**2. Let g(d) be the third derivative of t(d). Calculate z(g(p)). 8*p Let v(f) = -3*f**2 + 22*f**2 + 118*f - 118*f. Let g(p) = 5*p**2. Give v(g(m)). 475*m**4 Let w(g) = -16*g - 4. Let v(z) = 49*z + 11. Let f(u) = 4*v(u) + 11*w(u). Let d(b) = b + 1. Let s(m) = -3*m - 6. Let y(k) = -6*d(k) - s(k). What is y(f(x))? -60*x Suppose 0 = 2*o - 3 - 1. Suppose 5*p + o = 2*w + 4, -2*p - 5*w = -24. Let d(r) = 7*r + 0*r - p*r - r. Let u(c) = -c. Give u(d(h)). -4*h Let z(q) = 4*q. Let b(d) be the third derivative of -43*d**4/24 - 3*d**2 - 9. Determine z(b(n)). -172*n Let s(p) = 2*p**2. Let g be ((-22)/(-10) - 4)/(2/(-10)). Let i(m) = 8*m + 1 - g*m - 21*m. Determine i(s(w)). -44*w**2 + 1 Let a(s) = -13*s**2. Let h(p) be the second derivative of 0 + 2*p + 0*p**2 + 0*p**3 - 1/6*p**4. What is h(a(f))? -338*f**4 Let j(f) = 2*f. Let v(p) = -47447*p + 26. Calculate v(j(l)). -94894*l + 26 Let d(v) = 2*v**2 + 11*v - 4. Let r(q) = -q**2 - 12*q + 3. Let u(b) = 3*d(b) + 4*r(b). Let g(t) = -t. Give u(g(n)). 2*n**2 + 15*n Let o(n) = -1098*n + 3. Let v(r) = 90*r**2. Give o(v(s)). -98820*s**2 + 3 Let v(y) = y - 58. Let w(u) = 2*u**2 + 10*u. Calculate w(v(o)). 2*o**2 - 222*o + 6148 Let f(b) = -4*b. Let d(x) = -202*x - 822. Calculate d(f(g)). 808*g - 822 Let c(f) = -29*f - 3. Let h(i) = 551*i + 58. Let r(j) = 58*c(j) + 3*h(j). Let o(a) = 17*a**2. What is r(o(w))? -493*w**2 Let u(c) = 10*c**2 - 17. Let y(v) = v**2 + 6*v. Give y(u(m)). 100*m**4 - 280*m**2 + 187 Let r(h) = -2075148*h**2. Let w(f) = -4*f**2. Determine w(r(l)). -17224956887616*l**4 Let x(b) = 23*b**2. Let r(h) = 86778*h. Calculate r(x(m)). 1995894*m**2 Let m(n) be the second derivative of -n**4/12 + 24*n. Let l(q) = -8*q. Calculate m(l(c)). -64*c**2 Let m(v) = 32 + 14*v - 9 - 9 - 14. Let d(g) = 9*g**2 + g. Determine d(m(r)). 1764*r**2 + 14*r Let h(c) = 4*c - 298. Let a(f) = f. What is h(a(t))? 4*t - 298 Let a(j) be the first derivative of 2 + 0*j**3 + 1/12*j**4 - 3*j + 0*j**2. Let s(d) be the first derivative of a(d). Let c(o) = -2*o. Determine c(s(r)). -2*r**2 Let b(r) = -4*r**2. Let s(x) be the third derivative of 0*x - 10*x**2 - 1/6*x**4 + 0 + 0*x**3. Calculate b(s(j)). -64*j**2 Suppose -2*b - 10*b + 24 = 0. Let i(x) = x**2 - 4*x - 3. Let p be i(5). Let l(q) = -3*q - b*q + p*q. Let t(v) = 3*v**2. What is l(t(d))? -9*d**2 Let j(o) = 34*o**2. Let d(r) = -3*r**2 - 5*r + 5. Let v(l) = l**2 + 3*l - 3. Let g(f) = -3*d(f) - 5*v(f). Give j(g(q)). 544*q**4 Let i(h) = 4*h. Let l(m) be the second derivative of -40*m**3/3 - 3*m**2/2 + 192*m. Give l(i(r)). -320*r - 3 Let o(t) = 174*t. Let w(u) = -u**2 + u**2 + u**2 + 8*u**2 - 12*u**2. Determine o(w(h)). -522*h**2 Let x(f) be the second derivative of f**4/2 - 3*f + 33. Let h(n) = 11*n**2. Calculate h(x(q)). 396*q**4 Let f = 7 + -5. Let b(l) = -8*l - 10*l**2 + 36*l**f + 8*l. Let z(j) = 2*j. Determine z(b(h)). 52*h**2 Let l(m) = 2*m**2. Let q(j) be the second derivative of 0*j**3 - 18*j + 0 + 0*j**2 - 1/2*j**4. Calculate l(q(b)). 72*b**4 Let r(i) = i. Let u(o) = 0*o - 18*o - 22*o + 3*o - 97*o. Calculate u(r(c)). -134*c Let v(n) = 10*n. Let w(u) be the third derivative of -u**5/120 + 2*u**3/3 - 17*u**2. Let a(s) be the first derivative of w(s). Calculate a(v(y)). -10*y Let v(r) = 39*r + 55*r - 82*r. Let f(c) = 2*c. Let u(a) = -a. Let h(x) = 6*f(x) + 13*u(x). Give v(h(w)). -12*w Let l(p) be the first derivative of -p**3/3 - 2. Let r(m) = -m**2 + 13*m. Let q be r(13). Let o(h) = 7*h + q*h - 2*h. Determine o(l(v)). -5*v**2 Let f(n) = -2*n. Let g(q) = 2*q**2 - q - 4. Let u be g(-3). Let o(b) = -u*b + 9*b**2 + 15*b + 6*b**2 + 5*b**2. Calculate f(o(r)). -40*r**2 + 4*r Let x(r) = -3*r**2. Let c(t) = -t - 3255 + 3255. Give x(c(l)). -3*l**2 Let t(k) = 360*k + 1 - 1 - 392*k. Let u(p) = -p. Calculate t(u(q)). 32*q Let d(w) be the first derivative of 2*w**3/3 + 9*w + 3. Let t(r) be the first derivative of d(r). Let m(c) = -7*c**2. Give m(t(p)). -112*p**2 Let x = -25 + 25. Let p(v) = x - 7 + 7 + 4*v**2. Let q(r) = 5*r**2 - 6. Let h(f) = -1. Let w(n) = 6*h(n) - q(n). Determine w(p(y)). -80*y**4 Let p(a) = -337*a**2. Let u(b) = -b - 48. Determine u(p(v)). 337*v**2 - 48 Let w(a) = -3*a. Let k(d) = -162856*d. Give w(k(t)). 488568*t Let g(r) = 2*r - 22. Let i be g(12). Let n(b) = -5*b**i + 4*b**2 - 10*b**2. Let l(j) = 3*j**2. Determine l(n(k)). 363*k**4 Let g(r) = -10*r. Let l(h) = -119*h**2 + 105. Let z(m) = 20*m**2 - 18. Let v(y) = 6*l(y) + 35*z(y). Give v(g(w)). -1400*w**2 Let y(s) = 40*s. Let m(d) = 2*d + 229. Determine m(y(j)). 80*j + 229 Let i(k) = -2*k**2 + 3*k. Let m be (2 - 12)*(-6)/15. Let r = 8 - m. Let x(q) = 3*q**2 - 4*q. Let g(s) = r*i(s) + 3*x(s). Let f(a) = -2*a. Give g(f(t)). 4*t**2 Suppose 5*p = -2*j + 871, -4*p = -0*j + j - 437. Let c(d) = -11*d**2 - 433 + j. Let h(a) = -3*a. Give h(c(z)). 33*z**2 Let y(b) be the third derivative of -3*b**5/10 - b**3/6
{ "pile_set_name": "DM Mathematics" }
31 Add 46.803 and 2.3555772. 49.1585772 Sum 8476829 and 93170024. 101646853 What is -169717302 + 140? -169717162 What is -113202690422 plus -0.3? -113202690422.3 Put together 38.7606 and 4.72192. 43.48252 Subtract 2793.3 from -14751.9126. -17545.2126 Put together -27995265 and -17.168. -27995282.168 What is -166.4789865 plus 0.606102? -165.8728845 What is -206880898456 minus 3? -206880898459 What is 40382 take away -350649829? 350690211 Sum 0.029 and -5626.9710522. -5626.9420522 Calculate -1334935821 - -1901. -1334933920 What is -23.44236 minus 327998? -328021.44236 Work out -9.9 + 552069985821. 552069985811.1 Subtract 34 from 1288300661337. 1288300661303 Subtract 49105083 from -9121. -49114204 Add together -4 and -163.386957421021. -167.386957421021 Total of -200134104 and -975.8. -200135079.8 What is 0.3 less than -29632144405781? -29632144405781.3 Calculate -9109415508585 - 0.03. -9109415508585.03 Work out -622 + -151884106. -151884728 What is 9111.1 + 2.78094? 9113.88094 What is the difference between 15 and -179.66295883347? 194.66295883347 What is -1887.3628439 less than -15? 1872.3628439 Subtract 35590 from 397.142248. -35192.857752 Add -31.9 and 83974638.141. 83974606.241 -1+43.989297560023 42.989297560023 Calculate 12891258 + 1095922. 13987180 Subtract 208.76 from -2493928.6. -2494137.36 What is 5554450047.466 take away 0.5? 5554450046.966 What is -5927970.3 + 25595? -5902375.3 What is -162.62 take away -556602204? 556602041.38 -589597242813+-0.03 -589597242813.03 What is -44189440 + -11.834? -44189451.834 Put together 11514325969 and 0.3251. 11514325969.3251 Add together 0.5 and -39764641.7329. -39764641.2329 Total of 197 and -459112.237. -458915.237 What is 433 + -0.048800429? 432.951199571 Work out -0.5 + -19140688564670. -19140688564670.5 What is -183358625 plus -6.7152? -183358631.7152 -244.1638985 - 907 -1151.1638985 Sum 24.722 and -2.21964. 22.50236 Work out 4916 - -35554934460. 35554939376 Subtract -2258625443.1861 from -5. 2258625438.1861 What is 83 take away 5642130456? -5642130373 Total of 170.82 and 4069960884. 4069961054.82 Total of 5684600907961 and 4. 5684600907965 Put together 567871.87096 and -588. 567283.87096 Total of 14779 and 0.5304713. 14779.5304713 Work out 162 - -6223543.675. 6223705.675 0 - -0.08898105198349 0.08898105198349 Sum 24491730991914 and -2. 24491730991912 Add together 221307117782 and 0.136. 221307117782.136 Subtract -24920237201 from 6. 24920237207 42.5442 - 582.0217 -539.4775 Total of -90479267360 and 1.13. -90479267358.87 Work out 2899134 + -732201. 2166933 42.68216 - 0.41982 42.26234 What is -70995360376 - 0.076? -70995360376.076 What is 1 take away 67239574073? -67239574072 Subtract -2 from 18993083491115. 18993083491117 Calculate -289940507251 + -2. -289940507253 What is -291 - -2424569.53793? 2424278.53793 What is 1 minus 445716941.6133? -445716940.6133 Subtract 11775 from 974987. 963212 Put together 955762 and 3328868. 4284630 Put together -941288485 and 0.0420863. -941288484.9579137 Work out 3427 - 65571151.7. -65567724.7 What is the difference between -134.41011012 and 1.703? 136.11311012 -642 - 404023464 -404024106 What is -4251824921 plus -1.7? -4251824922.7 1.93 - -51602173.95 51602175.88 Calculate 0.3651 - -2443.65099. 2444.01609 Work out 1 + -574097951688. -574097951687 Calculate 626487392 + -0.007228. 626487391.992772 Subtract -11391087149 from 1. 11391087150 -1371 + 801083563.7 801082192.7 Put together 5098719269.93 and 304. 5098719573.93 Work out -0.24 - -10232581408. 10232581407.76 Put together 7.3 and -1049200051151. -1049200051143.7 Calculate -2032288.79683 - 0.4. -2032289.19683 What is -0.467 plus 140171593631? 140171593630.533 What is 49.37 - -188929332.2? 188929381.57 What is -6406451.4 minus 0.1209746? -6406451.5209746 Calculate -384851758888071 - 0. -384851758888071 What is -2202.354769274 + -7? -2209.354769274 Total of 402651.6406 and -30.49. 402621.1506 Subtract 3424463846 from -0.092. -3424463846.092 Add 4 and 1012680403815. 1012680403819 -4213605657 - -0.45 -4213605656.55 Calculate 0.0428 + -0.0591924359. -0.0163924359 Subtract 25843.1469 from -35719. -61562.1469 Put together -7327 and 0.85329851. -7326.14670149 What is -0.087684 take away -2623280? 2623279.912316 Total of -323490027146 and -0.329. -323490027146.329 Calculate 0.1 + 0.06043887103927. 0.16043887103927 What is -0.0355858 less than 14769.11? 14769.1455858 What is -4387 take away -0.92380556? -4386.07619444 Work out 2063487172.756 + 21. 2063487193.756 What is -26.7414861389 + -1? -27.7414861389 -14315449744 - -10 -14315449734 Calculate -1123 + -216612420. -216613543 6.486086559+-0.3003 6.185786559 -0.6 - -378012006898 378012006897.4 Sum -29660729073.35 and -0.17. -29660729073.52 Calculate 41025.2445 + -26.991. 40998.2535 What is 0.3 minus -3915416.35474? 3915416.65474 Work out -3.026 + 0.01646462043. -3.00953537957 Add -0.4 and -197977664.899. -197977665.299 What is -185348.971 take away -10.4? -185338.571 Put together -8.74934 and 547942. 547933.25066 Add together 1.1 and -149.113190986. -148.013190986 What is 1089491.965644938 - 0.2? 1089491.765644938 Calculate 2747.969 - 290763. -288015.031 What is the distance between -139298331.77 and -830? 139297501.77 Add together -6.9 and 2278450420165. 2278450420158.1 What is 0.0624 less than 19009531.193? 19009531.1306 Work out -77199526 + -0.60053. -77199526.60053 Add together -590227 and -16853297. -17443524 4.814 - 25557186 -25557181.186 Put together 11528.4 and 100973730. 100985258.4 Work out 32266 + -9295577. -9263311 What is 0.10719 - -133917319? 133917319.10719 0+-38671.049551 -38671.049551 0.047775 - 5921.72 -5921.672225 What is 307 take away -3413683594565? 3413683594872 What is 2.93 minus -0.069238603986? 2.999238603986 What is 1762122621916 + 8? 1762122621924 -1.47886924368+1 -0.47886924368 What is 73082.8 + 416044240? 416117322.8 Calculate -26.2617 - -16.55114. -9.71056 What is 2454.89 less than -232457.95? -234912.84 Calculate -10604.98108512 + -0.96. -10605.94108512 1688 - -1.2193497803 1689.2193497803 Total of 205.7 and -2100349344. -2100349138.3 What is 0.7270782 minus -2.83928? 3.5663582 What is the difference between -10.8 and 887247083.611? 887247094.411 Calculate -5 - 23532299156. -23532299161 What is 1036539.25 less than -2142? -1038681.25 What is 1.285599245 take away 0.821149? 0.464450245 What is -16.8 + 410634599.1? 410634582.3 Put together -1418 and -89846128. -89847546 What is 239 minus 1009494301? -1009494062 What is 0 take away 0.055224558329? -0.055224558329 Calculate 0.04064 - 78278100. -78278099.95936 What is 22115 take away 57681.02935? -35566.02935 Work out -445 + -292072095. -292072540 -301 - -353747500525 353747500224 Work out -50.6158 - 18.106156. -68.721956 What is 2.7 + 4054211628.9? 4054211631.6 What is -0.012326 + 8835359? 8835358.987674 Add together 935212.749973 and -582. 934630.749973 19411335522 + 0.09 19411335522.09 Work out -82553023.77 + -2554. -82555577.77 Total of -6213103.8 and -787945. -7001048.8 What is 1849904564 less than -5.55? -1849904569.55 What is -4 minus 1.872862678? -5.872862678 Put together -38291 and 560.1450541. -37730.8549459 What is 132284666.287 + -0.0532? 132284666.2338 Add together 7232015.6724 and -6.1. 7232009.5724 What is 19 plus 2627075009? 2627075028 Work out -362127.5551087 + 84. -362043.5551087 What is -755.57 plus -289067939? -289068694.57 Work out 908.377386956 - 2. 906.377386956 6+48529869262 48529869268 What is the difference between 209854333272 and 157? 209854333115 Sum -4 and -10805603810354. -10805603810358 What is the difference between 7609103944 and -0.041? 7609103944.041 Calculate -1537614735 + 83. -1537614652 Add together 12782728413 and 0.123. 12782728413.123 Work out -24.9127927 - 0.1108. -25.0235927 Work out 257832299.81 - -21709. 257854008.81 What is -18.359758465 - 10.7? -29.059758465 What is -3058410922 plus -0.30928? -3058410922.30928 What is -1304775275 plus 8.448? -1304775266.552 What is -135932823 take away -16733? -135916090 What is -739.3762 less than -2.1120106? 737.2641894 What is 4 less than 9579465815094.46? 9579465815090.46 What is -22959.53 less than -0.0142869? 22959.5157131 450002 - 1.464602 450000.535398 What is 4.4 less than 40.38644464604? 35.9864446
{ "pile_set_name": "DM Mathematics" }
f -3 - 1 - (6 + -68)? False Is 25 a factor of (-2)/(-7) + (-1298)/(-14)? False Let g be (-2)/3 - (-10)/(-3). Let p(h) = 2*h**2 + 4*h + 3. Let v be p(g). Suppose 2*c + 2*y - 34 = -2*c, y + v = 2*c. Is 9 a factor of c? True Suppose 172 = -5*n + 7*n. Is n a multiple of 13? False Let c(p) = p**2. Let i be 52/10 - 2/10. Suppose 5*r - 3*x + 8 = -x, i*r = -5*x - 15. Is c(r) a multiple of 4? True Suppose 3*i = 2*z - 65, 95 = 6*z - 3*z - 2*i. Does 13 divide z? False Suppose 0 = 2*q - 7*q - 460. Let m = q + 53. Let l = -1 - m. Is 19 a factor of l? True Let i be (-2)/6 + 3/9. Let c be i/1 - 2*-2. Is (-1)/(-4) + 115/c a multiple of 9? False Let k be 11/4 - 15/20. Suppose k*i - 5*i = -90. Suppose 0*p + i = 3*p. Does 9 divide p? False Let a(z) = -2*z - 6. Let b be a(-7). Suppose -10*y + 122 = -b*y. Is y a multiple of 36? False Suppose 0 = d + d - 420. Does 25 divide d? False Let g(f) be the second derivative of f**8/6720 - f**6/720 + 7*f**5/120 - f**4/12 - f. Let c(m) be the third derivative of g(m). Is 3 a factor of c(0)? False Is (18/(-4))/(3/(-16)) a multiple of 6? True Suppose -a - 2*a + 54 = 0. Is 3 a factor of a? True Suppose 0 = -3*z - 3, -5*v + 41 = z - 93. Does 27 divide v? True Suppose y = 4*y - x - 18, 3*x = 0. Is 3 a factor of y? True Suppose -4*k + 1 = -4*r + 3*r, -2*r = -3*k + 2. Let f = -5 + 8. Suppose -f*i = -k*i - 42. Does 11 divide i? False Suppose -2*z + 4 = -4*i - 18, -2*z = -i - 16. Suppose z = 4*b - 3*o - 10, -4*b - 5*o - 7 = 0. Suppose 5*s = -2*t + 81, b*t = -4*s + 13 + 53. Is 6 a factor of s? False Suppose -3*g + 12 + 90 = -3*s, 116 = 3*g + 4*s. Is g a multiple of 6? True Let d = -118 - -176. Let r be 4 + (-2)/(-4)*-2. Suppose -j = -3*j + 2*o + 28, -r*j = 5*o - d. Is j a multiple of 14? False Let c be (8/6)/(1/3). Let p be 4 + -4 - ((1 - -1) + -2). Suppose -c*o = -p*o - 116. Is o a multiple of 11? False Let l = 10 + 100. Suppose h + 4*h - l = 0. Is h a multiple of 7? False Let g(n) be the second derivative of -13*n**3/6 + n**2/2 + n. Let l be g(1). Let j = l + 42. Is 13 a factor of j? False Suppose 13 = d - 5. Let h be 2/(-4)*2 + d. Suppose -43 - h = -5*a. Is a a multiple of 12? True Let k(i) = -i**3 - 6*i**2 + i + 6. Let f be 2/(-4) - 22/4. Let l be k(f). Let q = l - -12. Does 12 divide q? True Does 27 divide (1/((-2)/(-38)))/(23/391)? False Suppose 4*i - 5 = -5*f, -f - 1 + 2 = -3*i. Let k(a) = a**3 - 13*a**2 + a - 11. Let d be k(13). Let w = d - i. Does 2 divide w? True Let u(z) = -z**2 + 4*z + 7. Let y be u(5). Suppose 0 = 2*j - 5 - 11. Suppose -o + y = -j. Is 5 a factor of o? True Is 12 a factor of (-76 - 4)*((-15)/4)/1? True Suppose -3*j + 2*j = 4. Is 7 a factor of j/1*7/(-2)? True Suppose -5*j + 2*q + 218 = 0, j + 4*q = 4*j - 142. Suppose 4*h - j = -3*n, 2*n = -3*h + 21 + 7. Is 7 a factor of n? True Does 13 divide (-4)/40*34*-15? False Let j(y) = 151*y - 2. Let x be j(1). Suppose 0 = -5*m - 44 + x. Is m a multiple of 8? False Suppose -2*f - 102 = 3*h, -2*f - 2*h - 102 = -0*f. Does 5 divide -4*(-2)/((-24)/f)? False Let j = -6 - -10. Suppose 0 = -j*t + t + 9. Suppose 0 = t*z - 87 - 3. Is z a multiple of 10? True Suppose 3*p = -p. Suppose -2*d + p*d = -34. Let m = 24 + d. Does 18 divide m? False Let h(y) = -17*y. Is h(-3) a multiple of 12? False Is 1656/15 + 2/(-5) a multiple of 9? False Let u = 110 - 65. Is 11 a factor of u? False Let s be (0/(-2) - -2) + 1. Let z be 6/9 - (-4)/s. Does 25 divide 2/z + 53 + 1? False Suppose 0*a = 3*a - 15. Suppose -72 = 2*q - a*q. Is 8 a factor of q? True Suppose -4*z + 2*v = -0*z, z + 18 = 5*v. Let l be 4/(1/(z/4)). Suppose -34 = -l*w + 30. Does 16 divide w? True Let a(v) = -v**3 + 4*v**2 + 4*v - 6. Let k be a(4). Let y = 37 + k. Is 15 a factor of y? False Let u(m) = 4*m**2 - 12*m. Is 40 a factor of u(8)? True Let o(f) = -14*f - 1. Let j be o(-1). Let i = j + -1. Is i a multiple of 12? True Let r(q) = -q**2 - 7*q - 4. Let h be r(-9). Is 8 a factor of (143/h)/(1/(-4))? False Let t(b) = -10 + 5*b + 1 + 1. Is t(6) a multiple of 8? False Let p(x) = x**3 - 14*x**2 + 16*x - 32. Is 7 a factor of p(13)? True Is 69 - (0 - (5 - 4)) a multiple of 7? True Suppose -18 = -4*z - 2*g - 0, 0 = 3*z - 2*g + 4. Suppose -2*j - z*j = -36. Does 7 divide j? False Let h(g) = -3*g - 18. Suppose -47 = 5*r + 13. Is 9 a factor of h(r)? True Is (-2)/(-8) - (-326)/8 a multiple of 16? False Suppose -k - 5 = 7. Let u be 38/8 + (-3)/k. Suppose 5*i + 126 = u*w + i, -2*w + 4*i + 60 = 0. Is 11 a factor of w? True Suppose 4*n + 5*f - 42 = 6, 5*n = 5*f + 60. Suppose m + 3*w = -1 + n, -m + 7 = -w. Does 3 divide m? False Let t = -3 - -6. Let g be t/(-6) + (-137)/(-2). Suppose 3 + 14 = j + 4*o, -5*o = 4*j - g. Is j a multiple of 17? True Let j = 52 - 31. Is j a multiple of 8? False Let i(l) = -12*l + 2. Let n be (-2)/(-7) + (-90)/21. Does 12 divide i(n)? False Suppose -6*y - 3*i - 109 = -y, 4*i = -y - 32. Let s = y + 72. Is s a multiple of 13? True Suppose -283 - 53 = -4*i. Suppose -3*a = a + 2*f - i, 39 = a + 5*f. Does 7 divide a? False Suppose -32 = -4*y + 16. Let r = y + 29. Is r a multiple of 12? False Suppose -5*m = -4 - 11. Suppose -m*h + 20 = -2*h. Does 8 divide h? False Let k be ((-6)/(-2))/(6/4). Let o(f) = -f**3 - k + 2*f**2 - 8*f + 5*f**2 + 7. Is 15 a factor of o(5)? True Let f be -3 + (1 - 0)*5. Is 15 a factor of (90/(-8))/(f/(-8))? True Suppose q - 35 = -11. Is 8 a factor of q? True Let g be (-49)/5 + (-1)/5. Let b = g + 14. Suppose b*l - 155 = -l. Does 17 divide l? False Let v(g) = -g + 40. Let h = -8 + 13. Let w be (-15)/h + (2 - -1). Is v(w) a multiple of 21? False Suppose -v - 3 = -4. Suppose v = -f + 86. Does 17 divide f? True Let h = -64 - -85. Is 7 a factor of h? True Let t be (28/6)/((-4)/(-6)). Let q be 1 + (2 + 4 - 4). Is 12 a factor of ((-18)/(-3) - q)*t? False Suppose 0*w = -3*w - 6. Is 31 - (-2 + w)/(-1) a multiple of 5? False Suppose 54 = b - 6. Suppose 0 = -2*s - 4*u + b, 25 + 2 = s + u. Is s a multiple of 8? True Suppose -5*h = -5*l + 265, 3*l - h + 88 = 253. Does 8 divide l? True Is (-1 - 3*11)*36/(-8) a multiple of 13? False Let b be (-1)/(2/(-18)*1). Suppose 6 = 5*t - b. Suppose 5*m = -5*c + 75, 28 = 2*c + 3*m - t. Does 12 divide c? False Let l = 15 - 12. Is l a multiple of 3? True Let t(y) = -y**3 + 6*y**2 + y - 7. Let m = 18 + -12. Let u be t(m). Is 29/u*(-3 + 2) a multiple of 12? False Suppose 2*d - d = 84. Let q = 148 - d. Is q a multiple of 32? True Let u(v) = -v**2 - 9*v - 1. Let x be u(-9). Let q be x/5 + 69/(-5). Is 2/(-7) - 186/q a multiple of 13? True Let p = -2 - -2. Let q(n) = n**3 - 7*n**2 + 2*n - 14. Let z be q(7). Suppose 2*o = -p - 8, j - o - 11 = z. Does 3 divide j? False Let z(t) = -6*t - 1. Suppose -g = -4*d + 1, d + g - 9 = 3*g. Let s be z(d). Suppose 0 = j - s - 4. Is j a multiple of 6? False Suppose -384 = 6*d - 10*d. Is d a multiple of 12? True Is 22 a factor of 476/4 + -5 - 4? True Suppose 0 = 4*n - 4 - 8. Suppose 7 - 121 = -n*w. Is w a multiple of 10? False Suppose 3*n = -2*n - 20. Let q(i) be the second derivative of -i**3/6 + 3*i**2/2 - i. Is 3 a factor of q(n)? False Let v = -41 - -61. Is v a multiple of 5? True Let p be 2 - 3 - -2 - -4. Suppose -2*t + 42 = 7*r - 3*r, p = t. Does 3 divide r? False Suppose -1 = -r, a - 1 = -4*r + 2. Let h = a + -2. Let y(o) = -4*o - 2. Is y(h) a multiple of 5? True Suppose t + t - 10 = 0. Suppose 3*s - 62 = -4*z, -t*s + 0*s + 7 = z. Is 17 a factor of z? True Let q be (-136)/(-22) + (-14)/77. Let z(v) = v**2 - 7*v + 3. Let u be z(q). Let x(i) = -6*i - 3. Does 5 divide x(u)? True Does 4 divide (-39)/65 + 96/10? False Let l be 2/((21/(-6))/(-7)). Suppose h + 29 = -t + l*t, 4*t - 4*h = 52. Is 3 a factor of t? False Let t(u) = -5*u**2 - 11*u + 5. Let l(o) = 4*o**2 + 10*o - 4. Let x(d) = 6*l(d) + 5*t(d). Let s be 1*(2*2 + -1). Is x(s) a multiple of 3? False Suppose -5*u = -3*u + 166. Let r = -47 - u. Is r a multiple of 16? False Is -4 + -3*453/(-9) a multiple of 27? False Is 16 a factor of (16 - 1)/((-6)/(-32))? True Let u = 75 + -31. Is 22 a factor of u? True Suppose d - 6 = -68. Let o = -44 - d. Does 13 divide o? False Let l(h) = h**3 - h + 1. Let s(r) = -4*r**3 + 10*r**2 + 14*r - 5. Let p(g) = 5*l(g) + s(g). Let n be p(-9). Let y = 3 + n. Is y even? False Is 8 a factor of ((-192)/(-3))/(-1 - -2)? True Suppose 0 = 9*g - 87 - 48. Is 4 a factor of
{ "pile_set_name": "DM Mathematics" }
- 4*v) to the form y*v**2 + x + r*v and give y. 8 Rearrange -7*x**3 - 7*x**3 - 8*x**3 - 2 - 7*x**3 to the form i*x**2 + l*x + f*x**3 + r and give f. -29 Rearrange (-20*l - 19*l + 38*l)*(l + 6*l + 4*l - 2*l + l - l - l + 4*l - 2*l - 2*l + l - l + (2 + 1 - 4)*(-3*l + 5*l + 0*l)) to g + c*l + i*l**2 and give i. -6 Rearrange (16*d - 5*d + d + 2)*(2*d**2 + d**2 - 2*d**2) to the form z*d**2 + g*d**3 + o + n*d and give z. 2 Rearrange (-2*h + 2*h - h)*(-43 + 68 + 48 + (-1 + 1 + 1)*(2 + 3 - 3))*(-3 + 2*h + 3) to the form j*h**2 + a + q*h and give j. -150 Rearrange 2*q + 2*q - 5*q + (0 + 0 - 3)*(3 - 3 - 4*q) to the form y*q + r and give y. 11 Express (-3*d + 5*d - 4*d)*(-7 + 9 + 1) as m + h*d and give h. -6 Rearrange -237*f + 3*f**2 - 2*f**2 + 237*f to o*f**2 + x + i*f and give o. 1 Rearrange (0*b + b + b)*(1 - 7 - 3) + (-1 - 4 + 4)*(2 + 1 - 2)*(-2 - b - 2*b + b) to q*b + u and give q. -16 Express -2*c - 8*c**3 - 8*c**2 + 4*c**2 - 2*c**2 + 6*c**3 as a*c**3 + z + t*c + v*c**2 and give a. -2 Express (-7*z + 7*z + 4*z)*(-2 + 4 - 3) + (0*z - z + 3*z)*(0 - 1 - 1) + (-2 - 1 + 4)*(-3 - 2*z + 3) as p*z + a and give p. -10 Rearrange -64*x**3 - 5*x + 4 + 0*x**4 - 3*x**4 + 65*x**3 to i*x + q*x**3 + r*x**4 + z*x**2 + y and give q. 1 Express (-b + b + 3*b**2)*(27 - 39 + 28) in the form h*b**2 + u + y*b and give h. 48 Express (r**3 + 3*r**2 - 3*r**2)*(-3 + 0 + 2) - 3*r**3 - 2*r**3 + 3*r**3 as t + c*r**3 + n*r + y*r**2 and give c. -3 Rearrange (1 - 2 + 2)*(a - a - 2*a) - a + 6*a - 6*a to g*a + h and give g. -3 Rearrange -r**4 + 2*r**2 - 2*r**2 - 2*r**4 + r**3 - r**3 + (-7 - 18*r**3 + 7)*(-2*r + 0*r + r) to the form y + g*r + m*r**4 + i*r**3 + u*r**2 and give m. 15 Express (7*w**3 - 3*w**3 - 3*w**3)*(20*w + 24*w + 2*w) - 3*w**4 + 0*w**4 + w**4 as t + j*w**3 + o*w**2 + q*w**4 + c*w and give q. 44 Express 0*c**3 + 0*c**2 + 4*c**2 - 5*c**2 + 3*c**3 - 1 in the form l*c**2 + x + s*c**3 + t*c and give x. -1 Rearrange 12*k + 3*k + 2*k to the form j*k + t and give t. 0 Express 45*w + 72*w - 49*w + 44*w as z + p*w and give p. 112 Express -10*y**3 + 8*y**3 + 1 + y**3 in the form a + v*y**3 + s*y**2 + q*y and give a. 1 Rearrange (-g + 0*g + 4*g)*(g + g - 4*g)*(4 + 5 + 0) + (g + 2*g - 4*g)*(1 + 2*g - 1) to the form k*g + s*g**2 + z and give s. -56 Express -6*x**3 - 2 + 15*x**3 - x**3 as l*x**2 + o + p*x + s*x**3 and give o. -2 Rearrange (-1 + 2 - 2)*(-3*q + 6*q + 3*q) to k + c*q and give c. -6 Rearrange -3*o**2 - 16 - 22 + 39 to the form r*o**2 + s + h*o and give s. 1 Rearrange (-3 + 7 + 5)*(r - 2*r + 3*r) - 2 - 2*r + 2 to the form w + g*r and give g. 16 Express 43*o + 1 - 3*o**3 + 2*o**2 - o**3 - 44*o in the form u*o + z + t*o**3 + a*o**2 and give z. 1 Express -2*z**3 + z**3 - 7 - z**3 - 2*z**2 + z**3 as x + y*z**2 + k*z + q*z**3 and give y. -2 Express (m - 4*m + 4*m)*(6*m - 2*m - 2*m) - 10 + 10 - 2*m - 5*m**2 in the form k*m**2 + h*m + s and give h. -2 Express -26*w**2 + 3 - 2 + 2 + 22*w**2 as k*w**2 + r*w + p and give p. 3 Express (-2 + 1 - 1)*(-2*m**3 + m**2 - m**2) - 779*m + 6*m**3 + 779*m in the form u + l*m**3 + k*m + h*m**2 and give l. 10 Express 2*c - 21*c + 1 - 1 in the form k*c + f and give k. -19 Rearrange (1 + 1 - 4)*(-1 - 6 + 24)*(v - 4 + 4) to l*v + q and give l. -34 Express (-6 - 12 + 7)*(2 - 2 + v**3) in the form t*v**2 + z*v**3 + j*v + o and give z. -11 Rearrange 27*c - c**2 + 0*c**2 + 5*c**2 - 6*c**2 to p*c + a*c**2 + j and give a. -2 Express -104 + 104 - x in the form m + u*x and give u. -1 Express (-y - 3*y + 3*y)*(-5*y + 2*y + 2*y)*(1 + 6 - 22) in the form t*y + r + v*y**2 and give v. -15 Rearrange -14 + 20 + 2*h**2 - 16 to w*h**2 + d*h + g and give w. 2 Express -2 + 7 - 6 + 2*r**3 in the form x*r**3 + v*r + g + m*r**2 and give g. -1 Express -2*z + 3*z + 3*z - 7*z in the form q*z + u and give q. -3 Express -27 + s + 28 - s + 17*s**2 in the form f*s**2 + b*s + z and give f. 17 Express 1 - 2*s - 1 + (2*s - 3*s + 2*s)*(0 - 3 + 4) + 2*s - 4*s + 0*s in the form d + f*s and give f. -3 Rearrange -15 + 13 + 3*o**4 - o + 0*o - 2*o**3 to f*o**4 + t + l*o**2 + s*o**3 + m*o and give t. -2 Rearrange 2*s - 2*s**2 + 0*s**2 + 3*s to q*s**2 + j + v*s and give v. 5 Rearrange -r - 31 + 2*r**2 + 32 + r to u + o*r**2 + h*r and give o. 2 Express -17*d**3 + 23*d + 19*d**3 + 20 - 20 as h*d**2 + l + w*d + y*d**3 and give w. 23 Rearrange -5*n + 0 + 0 + 2*n**3 - 3 - 2 to the form z*n + t*n**3 + q*n**2 + u and give t. 2 Express -4*x - 8 + 1 - 2*x**3 + 3*x**2 + 3*x**3 + 8 in the form z*x + l*x**3 + w*x**2 + c and give l. 1 Express -5*l**2 + 4*l**2 - 2*l**2 + (-1 - 7 - 5*l + 0)*(l - 2*l + 0*l) in the form g + v*l + k*l**2 and give k. 2 Express (2*o - 2*o + 2*o**3)*((-o + 3*o - o)*(0 + 8 + 1) + 3*o + o - 6*o) as n*o + k*o**2 + x*o**3 + p + r*o**4 and give r. 14 Rearrange (1 - 1 - 2*h)*(-3*h - 4*h - 7*h)*(-4 + 4 + 3*h) to y + u*h**2 + q*h**3 + l*h and give q. 84 Express (-24 - 32 + 35)*(3*r**4 + 3*r**3 - 6*r**3 + 2*r**3) as q + d*r**4 + j*r + b*r**2 + v*r**3 and give j. 0 Express (2 - 2 + 2*v)*(-6*v**3 - 2*v**3 - 2*v**3) + v**4 + v**2 - v**2 as x*v**2 + w*v**4 + g + f*v + k*v**3 and give w. -19 Rearrange p**3 - p**4 + 3*p**2 + p + 4*p - 4*p**2 - 7*p to the form l + i*p**2 + m*p + c*p**3 + v*p**4 and give v. -1 Rearrange 930*m - 2 - 920*m - 1 to i*m + d and give i. 10 Rearrange 2*f**3 + f + 4*f**2 + f + 17 - 17 to the form m*f + i*f**3 + w*f**2 + n and give n. 0 Express (-2 - 13 + 3)*(-u + u - 2*u) in the form n + c*u and give c. 24 Rearrange (-2 + 1 - 1)*(1 + 0 - 3)*(k**2 + k**2 + k**2) to the form q + u*k**2 + x*k and give u. 12 Express -536 - 44*v + 536 + (0 + 4 - 3)*(0 + v + 0) - v - 4 + 4 in the form k + y*v and give y. -44 Express -m + 4*m + m - 8*m - 2 - 4*m**2 in the form w*m + k*m**2 + a and give k. -4 Rearrange -2*m**3 + 5*m**4 - 2 + 2*m - 7*m**4 - m to x*m**2 + a*m**4 + t*m**3 + f*m + j and give f. 1 Rearrange 64*t**2 - 45*t**2 + 52*t**2 to the form q + g*t + v*t**2 and give v. 71 Rearrange 0*i**2 - 3*i**2 - 4*i**2 + (1 + 3 - 5)*(2 - 1 + 0)*(2*i - 2*i - i**2) to the form x*i + s + w*i**2 and give w. -6 Express (0*p - 4*p - p + (5 - 3 - 3)*(0*p + 2*p - 3*p))*(p**2 - p**2 + 2*p**2) as t + k*p + v*p**2 + w*p**3 and give w. -8 Rearrange -2*h**3 + 4*h - h - 7*h - 3*h to the form x*h + r + w*h**2 + f*h**3 and give x. -7 Rearrange 3*p**3 + 2 - 4*p + 1 + p**2 + 3*p - 3*p**4 - 1 to the form f*p + c + n*p**4 + z*p**3 + a*p**2 and give a. 1 Rearrange (-z**2 - 1 + 1)*(-3*z - 2*z + 4*z) + (-2*z - 3 + 3 - 3*z**2)*(z - z - 2*z) to the form u*z**2 + s*z + d*z**3 + a and give d. 7 Rearrange -y - 4*y + 3*y + 4*y**3 + 0*y**2 - 2*y**2 - 2*y**4 to the form o*y**4 + l*y**2 + n*y + v*y**3 + x and give o. -2 Rearrange (-3 + 0 + 2)*(-2 + 3 + 1)*(-2*a + 5*a - 4*a) to the form v + y*a and give y. 2 Express h**4 + 0*h**4 + 0*h**4 + (0 - 1 + 4)*(4 + 2*h**4 - 4) as y*h**2 + f*h + m*h**4 + z + x*h**3 and give m. 7 Rearrange -s**4 + s**2 + 3*s + 5*s**2 + 1 + s**2 - 9*s**2 to c*s + v*s**2 + b + n*s**3 + i*s**4 and give v. -2 Rearrange (-3 + 6 - 1)*(1192 + 34*j**3 - 1192) to n*j + v + l*j**2 + k*j**3 and give k. 68 Rearrange -1 + 20*s + 24*s - 50*s to z*s + f and give f. -1 Express (2*f**2 - 4*f**2 - f**2 + (2 + f - 2)*(-2*f + 2*f + f) + f**2 + 2*f**2 - 2*f**2)*(-2 + 5 - 2) as c*f**2 + l + x*f and give c. -1 Rearrange (-2*l + l + 3*l)*(3259 - 3259 - 39*l) to the form r*l**2 + h + g*l and give r. -78 Express v**3 + 0*v**2 - 2*v**2 + 5*v + 3*v**4 - 6*v as s*v**2 + u + q*v + c*v**4 + l*v**3 and give s. -2 Express -8*q - 20*q**3 + 18*q**3 - 13*q in the form f + x*q**3 + w*q + s*q**2 and give x. -2 Express (-3*s**3 - 3*s**3 + 5*s**3)*(-19 - 3 - 11)*(-2*s - s + 2*s) as r + h*s**2 + v*s**4 + m*s + c*s**3 and give v. -33 Rearrange (-4*h**2 - 5*h**2 + 2*h**2)*(-5 - 12 - 10) to j + k*h + p*h**2 and give p. 189 Express -7*r + 3*r + 11*r - 3 - 2*r in the form y*r + h and give h. -3 Express -1 + 3 + 2*f**2 - 4*f**2 - f**2 as i*f**2 + y*f + m and give i. -3 Express -9 + 8 + 7 - 3*f**3 as h*f + x + p*f**2 + w*f**3 and give x. 6 Express -7*x**3 - x**3 + x**2 + 6*x**3 in the form t + f*x + k*x**3 + q*x**2 and give q. 1 Rearrange -2*r + 15 - 16 - r**4 + 7*r to o*r**3 + t + q*r + x*r**4 + b*r**2 and give q. 5 Express 3*k + 5*k - 3*k - 2*k**2 - k**3 in the form i*k**3 + q*k + a*k**2 + d and give i. -1 Express (4 - 2 + 1)*(11*z
{ "pile_set_name": "DM Mathematics" }
= -0.178 - -185.178. Let t = -185.083 + h. Let i = 4.917 - t. Which is the second smallest value? (a) -2/3 (b) -0.14 (c) i b Let j = 1.24 + -1.245. Let x = j - 0.025. What is the third smallest value in -0.3, -3, -0.4, x? -0.3 Let x = 253 - 105. Let v = 182 - x. What is the third smallest value in -3/7, -0.3, v? v Let s = -232330261/46 + 30309635/6. Let w = s + -948. Let k = w - -145/483. Which is the second biggest value? (a) k (b) 2/5 (c) 2/11 (d) 2 b Let q = -9.971 + 9.771. What is the second biggest value in -5, 2/15, 0.5, q, 130? 0.5 Let a = -4 - -3. Let o = 14166 - 14168.76. What is the biggest value in o, a, -0.1? -0.1 Let m = -1.8 - 0.2. Suppose -s + 2*h - 8 = 0, -6*s + 8*s = 3*h - 11. Let q be (-2)/155*274 + 4 - (-148)/(-370). Which is the biggest value? (a) m (b) q (c) s c Let l = -28369 + 28372. Let k be (1/3)/((-10)/6). What is the third smallest value in k, l, 0? l Let f be (-20)/(-54)*((-378)/70)/(-9). Let s = -3.8 + -0.2. Let g = 2.3 + -2.6. Which is the second smallest value? (a) f (b) s (c) 3/8 (d) g d Let a be ((-3)/(-6)*-2)/(7/(-7)). Suppose -3*m - 2*l + 15 - 7 = 0, -l + a = m. Let w be (1 - 21/m)*-2. What is the second biggest value in 2, w, 1/4? 2 Let t = -1.7824 - -1324.7824. What is the third smallest value in -0.5, -5, t? t Let y be (15 - 0 - 19)/1. Which is the smallest value? (a) -0.2 (b) -5 (c) y (d) 1 (e) -40 e Let r = 0.2 - 1.2. Let s = 0.015 + 1.685. Let z = 130/9 + -623/45. Which is the biggest value? (a) z (b) s (c) r b Suppose 0 = -0*s - 6*s + 24. Let n = 49 + -733/15. What is the second smallest value in 1/3, n, 6, s? 1/3 Suppose -224 = -4*u - o, 18 - 10 = o. Let s = 3/52 + -4/13. Which is the second smallest value? (a) s (b) 5 (c) u b Suppose 4*l = -4*s - 140, -10*s + 7*s + 90 = -2*l. Let r be 3 + -8 - 201/l. What is the third biggest value in r, 51, 0.3, -0.3? r Let m be ((-2)/(-4))/((-489)/815). Which is the second smallest value? (a) m (b) -3/2 (c) -11.5 b Let o = 33640 - 33599. Which is the smallest value? (a) o (b) 2 (c) -1/5 c Let j = -1131 - -781. Let t = j + 2451/7. Which is the third biggest value? (a) -18 (b) -0.3 (c) t a Let b = -3.69 + 4.69. What is the fourth smallest value in -5, -0.54, b, 4? 4 Let o = 26015 - 26010. What is the fifth smallest value in 1, 2/5, o, 3/2, -33? o Let x be 5348/2865*12/(-14)*(-210)/4. Which is the second smallest value? (a) 2 (b) 2/5 (c) x a Let f = -4.98 - 0.02. Let h = -43.21 + -1.79. Let j = h + 44.98. Which is the smallest value? (a) j (b) f (c) -5/6 b Let n = 950.88 + -976. Let w = -25.2 - n. Which is the fourth smallest value? (a) -1/5 (b) 5 (c) -7 (d) w b Let k(c) = -c**2 + c + 61. Let i be k(8). Let b = 95 + -74. What is the second smallest value in -1, b, i? i Suppose 90 = 39*w - 16*w - 5*w. Let u be (-21)/(-56) - (-2 - -2). Which is the smallest value? (a) u (b) w (c) 0.11 c Let f be (4/10)/(((296/(-240))/(-37))/1). What is the second smallest value in 0.08, f, 8? 8 Let v be (-16 + 2040/119)/(((-40)/18956)/(-5)). What is the second smallest value in -4, 0.5, v? 0.5 Let x = -136 - -954/7. Suppose 0 = 2*u - 4*i - 32, -5*u = -19*i + 25*i - 112. What is the second smallest value in -0.3, u, x? x Let q = 43 - 43. Suppose 3*x = -3*u - 48, 24 = -2*x + 2*u - 4. Let r be 1*2*(x/6 + q). What is the second smallest value in -4, 0.1, r? -4 Let m = -11 + 6. Let i = 0.0879 + 0.0331. Let u = 4.879 + i. Which is the smallest value? (a) u (b) m (c) 1.5 b Let g = 17934.709 + -17927. Let q = 0.291 + g. Which is the second biggest value? (a) 3 (b) q (c) -2/5 a Let n be 220/33 - (24/(-10))/((-4)/10). What is the biggest value in -5, 2/21, -2/7, 5, n? 5 Suppose 0 = -3*k - 4 - 5. Suppose -7 = 99*z - 100*z. Suppose 5*q - 3 = -h, 2*h + 1 - z = -q. Which is the second biggest value? (a) k (b) 2/11 (c) q c Let x = 17.067 - 16.667. Which is the second biggest value? (a) -3 (b) 38 (c) -31 (d) x d Let u = 3953 + -3952.6. What is the fourth smallest value in 4, u, -2/7, 0.1, 12? 4 Let x = 4545.3 - 4545. Let s = -7 + 3. What is the fourth biggest value in x, 11, s, -2/9? s Let k = -5.153 - -4.683. Let l = -1.02 + -0.08. Let v = l - -0.1. What is the third biggest value in k, -0.2, v? v Let r(u) = -u - 8. Let b be r(-9). Let s = 2702 + -2705. What is the fourth biggest value in 19, 3, b, s? s Let i = 24.4 - 24. Let n = -54.7 - -55. Let p = 1.7 + n. Which is the second biggest value? (a) 1 (b) -1/5 (c) i (d) p a Let i(z) = z**3 - 3*z**2 + z + 1. Let w be i(3). Let c be ((-12)/8)/((-14)/w). Let o = -389649 + 389649. What is the third biggest value in -3, c, o? -3 Let y = -0.2877 - 4.7123. Which is the third biggest value? (a) 3/4 (b) -0.048 (c) y c Let q = 321 - 611. Let x = q - -286. What is the smallest value in 14, x, 0? x Let h = -46 + 29. Let v = 61700.1 + -61700. Which is the second smallest value? (a) v (b) -3/2 (c) h b Let d be 399/12 - 9/(-12). Suppose 32 - d = -2*t. Suppose 0 = -2*m + 7 - t. What is the second biggest value in 4, m, -1? m Let q = 501 - 494. Let i = q - 6. Let z = -341/7 + 49. Which is the second biggest value? (a) z (b) i (c) -1/2 a Let n = 13.4 + -1.4. Let w = -31755.4 - -31755.6. What is the biggest value in w, n, 0.6? n Let r = -201.16 + 204. Let k = -2.16 - r. What is the third biggest value in 2/21, k, -4? k Let j = 1/71 - 74/213. Let h = -749 - -3727/5. Let d be ((-315)/54 + 6)*(5 - 13). Which is the biggest value? (a) d (b) j (c) h b Let z = 1130 - 1128. Let l = -59.053 + 0.053. What is the second biggest value in z, l, -4? -4 Let t = -150.47 - -150.47. Let k = -4.4 + 2. Let f = k + 2. Which is the second smallest value? (a) f (b) 1/4 (c) t c Let l = -2759 - -2758.8. What is the second smallest value in -4.5, 4, 6, l, -4/5? -4/5 Let k = 6670 + -6671. What is the biggest value in k, 0.03, -14? 0.03 Let h be 258/(-20) - 33/330. Which is the second biggest value? (a) 1 (b) h (c) 10 a Let q = -49/8 + 6. Suppose 29*j + 9*j = 456. Which is the second smallest value? (a) q (b) j (c) 4 c Let z = 12099 - 12090. What is the fourth smallest value in 1, -1/9, 0, z, -1/3? 1 Let n = 83.1 - 88.1. Let p = -0.59 - -23.59. What is the third biggest value in n, p, 0.5? n Let l be (8 + -19 - -6)*(-2)/(-5). Let o be (12/6 + l)/(1 + 0). Which is the third biggest value? (a) 0.18 (b) 0.2 (c) o c Let i = -4253 - -4252.7. Which is the second biggest value? (a) i (b) 5/29 (c) 1/10 c Let c = 0.64 + -0.35. Let h = 0.7 - c. Let q = -0.41 + h. What is the third biggest value in q, -8, 3? -8 Let g = -124/5 + 1126/45. Let d = -0.47 - -187.47. Let w = d + -185. What is the smallest value in w, 4, g? g Let k be 4/(-12)*3 - -198. Let m = 194 - k. Which is the smallest value? (a) -2 (b) 4/5 (c) m c Let j = -7098 - -35489/5. What is the smallest value in -5, 104.6, j? -5 Let z = -2336 + 2344. Which is the biggest value? (a) 2/3 (b) 39 (c) 0.3 (d) z b Let m = 141 - 141. Suppose m = -31*p + 36*p + 10. Which is the third smallest value? (a) -3 (b) -1 (c) p b Let k = -51 - -134. Let a = k - 245/3. Let z = -11 + 54/5. What is the smallest value in 2/5, a, z? z Let m = 422 + -388.9. Which is the second smallest value? (a) 0.4 (b) m (c) 2/11 a Let m = -68.9 - -66. Let d = 0.006 - 3.006. Let i = d - m. Which is the third smallest value? (a) 4 (b) 1 (c) i a Let r = 511 - 508.968. Let u = 0.032 - r. Let i(c) = -c**2 + 2*c. Let d be i(5). What is the smallest value in u, -1/12, d? d Let f = -18 + 21.5. Let v = -65366 + 65366.3. Which is the fourth biggest value? (a) 2/15 (b) 5 (c) f (d) v a Let u = -52.1 + -544.9. Let w = -513 - u. What is the second biggest value in w, 1/4, -3? 1/4 Suppose -30*m + 75*m + 515 = -58*m. What is the second biggest value in m, -3/56, -4, 0.2, -0.1? -3/56 Let i = -2.58386 + -0.01614. Which is the fifth smallest value? (a) -0.12 (b) -4 (c) 0.4 (d) i (e) -1 c Let j = 13 + -18. Let m = j - -3. Let o(i) = 9*i**2 - 18*i - 24. Let w be o(-1). Which is the second smallest value? (a) w (b) m (c) -0.4 (d) 0.1 c Let x = -365/7 + 52. Let q(y) = 2*y + 1. Let t be q(-3). Let s = 83.025 - 83.125. What is the second biggest value in t, -3, x, s? x Let q = 31 + -28. Let l = -13.07 + 12.67. Which is the third biggest value? (a) l (b) -22/5 (c) q b Let z = 9771 - 9767.
{ "pile_set_name": "DM Mathematics" }
2. 6*b**2 Expand (4 + 5 - 2 + (-1 + 0 + 0)*(-4 + 2 + 0))*(3*w + 2*w - 3*w). 18*w Expand (4 + 0 - 3)*(4 - q - 4 + (0 - 1 + 2)*(-3*q - 3*q + 4*q) + q - q - 2*q + 20*q - 48*q - 7*q). -40*q Expand 5*i**3 - i**4 - 5*i**3 + (1 - 1 - 3*i)*(-5*i + 5*i + 8*i**3). -25*i**4 Expand (0*n - 2*n + 0*n)*(n - 3*n + 5*n)*(1 - 4 + 2)*(-1 - 4 - 3). -48*n**2 Expand (7 - z + 0 - 2)*(-3 + 3 + 2*z**2 + (z - z - 2*z)*(0 + 2*z + 0)). 2*z**3 - 10*z**2 Expand (k**2 + 0*k**2 + 2*k**2)*(2*k**2 - 5*k**2 + k**2) + 7*k**4 - 2*k**4 - 2*k**4 - 1. -3*k**4 - 1 Expand (3 - 5 + 1)*(3*z - 2 + 2)*(3*z - 2*z - 4*z). 9*z**2 Expand (3177 - 3177 - 69*s)*(-3*s**4 + 2*s**4 - s**4). 138*s**5 Expand (-3 + 1 + 4)*(-7 + 18 + 1)*(-1 - 1 + 0)*(0*a - 4*a + a). 144*a Expand -4*q**2 + 2*q**4 + 4*q**2 + (4*q**4 + 0*q**4 - 2*q**4)*(1 + 2 - 1) + (q - q - 2*q)*(0*q**3 + 3*q**3 + 5*q**3). -10*q**4 Expand (5*o - 3*o**2 + o**2 + 0*o**2)*(4*o - o**3 - 4*o). 2*o**5 - 5*o**4 Expand 2*g**3 - 4*g**3 + g**3 + 9*g**3 - 5*g**3 + 12*g**3 + (0 + 3 - 2)*(-2*g**3 - 3*g**3 + 3*g**3). 13*g**3 Expand (-3*d + 5*d + 0*d)*(0*d**4 - 3*d**4 + d**4) + 3*d**5 + d**5 - 3*d**5 + 13*d**5 + 241*d - 241*d. 10*d**5 Expand (-3*y**2 + 3*y**2 + 2*y**3 + (-y + 2*y - 2*y)*(-2*y**2 - 4*y**2 + 4*y**2) - y**2 + y**2 + y**3)*(0 + 3*y + 3 - y). 10*y**4 + 15*y**3 Expand (0*q + 10*q + 2*q)*(q + 0*q + 0*q)*(2*q + 6*q - 4*q). 48*q**3 Expand (0*b**2 + 0*b**2 + 2*b**2)*(b - 4 + 4) + 4*b**3 + 15 - 15 + (-2*b**2 + 5*b**2 - 4*b**2)*(3*b - b + 0*b) - b**3 - b**3 - b**3. b**3 Expand (-3 + 6 - 4)*(16*r**5 + 9*r**5 - 13*r**5). -12*r**5 Expand 0*v**2 - v**2 + 3*v**2 + (0 + 0 - 1)*(2*v - 2*v + 3*v)*(2 - 2 + v). -v**2 Expand -2*k**2 - 1 + 1 + (2*k**2 - 2*k**2 + 2*k**2)*(-2 + 10 + 0). 14*k**2 Expand (-8 - 1 - 1)*(-3*u - u + 3*u)*(-3*u**2 + u**2 + 0*u**2). -20*u**3 Expand (1 - 1 - b)*(-197 + 197 + 52*b)*(-b**3 + b**3 + b**3) + b**5 - 2*b**5 + 2*b**5. -51*b**5 Expand (0*x + 0*x - x)*(2 - 1 + 1)*((1 - 1 - 1)*(3 - 6 + 2) + 0 + 2 - 1). -4*x Expand b**4 - 4*b**4 + 4*b**4 + (b - 3*b**2 - b)*(17*b + 5*b**2 - 17*b) - 2 + b**4 + 2. -13*b**4 Expand (-9*z**4 + 3 - 3)*(3*z - z - z)*(5 + 2 - 3). -36*z**5 Expand 5*t**4 - 3*t**4 - 3*t**4 + (2 + 5*t**2 - 2)*(-4*t**2 + 4*t**2 - t**2). -6*t**4 Expand 2*s**3 + 2*s**3 - 6*s**3 + (-2*s - s + s)*(s**2 + 3*s**2 - 6*s**2) + 6*s**3 + s**3 - 4*s**3. 5*s**3 Expand (1 - 2 + 2)*(-3*d + 17*d + 20*d). 34*d Expand (6 - 2 - 1)*(6*l - 4*l + 2*l) + l - l - 2*l. 10*l Expand -2*u**3 + 2*u**4 + 2*u**3 + (-6 + 1 + 1)*(5 - 5 + 2*u**4). -6*u**4 Expand (-2 + d + 0 + 0 + (2*d - 2*d - d)*(-4 + 3 + 0))*(-3 - 3 + 7). 2*d - 2 Expand (2 - 81*l**3 + l**4 + 61*l**3 - 2*l**4)*(2*l + 3*l - 3*l). -2*l**5 - 40*l**4 + 4*l Expand (15*b + 5 - 5)*(-b - b + 0*b). -30*b**2 Expand (-f - 2*f + f)*(0*f**3 + 2*f**3 - 7*f**3) + 6*f**4 - 5*f**4 - 5*f**4. 6*f**4 Expand -2*d + d**5 + 2*d + (0*d + 3*d + 2*d)*(-d**4 + 0*d + 0*d) + 2*d**5 - d + d - d**5 - d + d. -3*d**5 Expand (3 + 1 - 5)*(-4*d**5 + d**5 + 4*d**5) + (2*d**2 - d**2 - 2*d**2)*(2*d**3 - 5*d + 5*d). -3*d**5 Expand -u**3 - 2*u**3 + 4*u**3 - 2 + 2 + 2*u**3 + (3*u - 2*u + 0*u)*(0*u**2 - 3*u**2 + 2*u**2). 2*u**3 Expand (-105 + 58 + 58)*(0 + o**3 + 0). 11*o**3 Expand o**2 + o**2 - 3*o**2 + o**2 - 10*o + 1 + 7*o + 6*o + (o**2 - o**2 + 2*o**2)*(-2 + 3 + 4). 10*o**2 + 3*o + 1 Expand (11 + 1 + 1)*(4 + 0 - 2)*(2*h - 3*h + 2*h). 26*h Expand (2*w - w - 3*w)*(9*w**2 - 8*w**2 + 3*w**2). -8*w**3 Expand (-35 + 7 - 6)*(-1 - 2*a + 1)*(2 + 3 - 4). 68*a Expand (3 + n**2 - 3)*(138*n + 1 + 101*n - 68*n). 171*n**3 + n**2 Expand 5*t**4 + t**5 - 5*t**4 + 3*t**5 - 2*t**5 - 2*t**5 + (-3*t**3 - t**4 + 3*t**3)*(-2*t + 3*t + 0*t). -t**5 Expand (-3 - 1 + 5)*(120*d**2 + 48*d**5 - 120*d**2). 48*d**5 Expand (-s + 0*s + 2*s + 2 - 2 - s + (0 - 1 + 3)*(-2*s + 4*s - s) - 3*s + 4*s + 0*s + 2*s - 2*s - 2*s)*(1 - 4 + 1) + 0*s + 5*s - 2*s. s Expand (-2*h + 0*h - h)*(0 + 0 - 2*h**2)*(2 - h - 2). -6*h**4 Expand (3*t**4 - t**4 - 4*t**4)*(91*t - 58 + 58). -182*t**5 Expand (-4 - 1 + 3)*(-22*o**5 - 4*o**5 + 6*o**4 - 4*o**4). 52*o**5 - 4*o**4 Expand (1 + 3 - 2)*(-86 - 21*w**3 + 86). -42*w**3 Expand 0 + 3*l**2 - 7*l**2 + 3 + (-l - 2*l + l)*(-4*l + 3*l + 2*l). -6*l**2 + 3 Expand 6 - 6*z**2 - 6 + (3*z + 0*z - 5*z)*(-z - z + 0*z) + 6*z**2 - z + z. 4*z**2 Expand ((-1 + 3 - 3)*(-v**3 - v**3 + 4*v**3) + (3 + 1 - 2)*(-3 + 3 + 2*v**3) + (-1 + 0 + 0)*(4 - 2*v**3 - 4))*(-2*v**2 - 4*v**2 + 7*v**2). 4*v**5 Expand (-b**4 + 0*b**4 + 1 + b**3 + 6)*(2 - 3*b - 2). 3*b**5 - 3*b**4 - 21*b Expand (5 + 4*q**2 - 5)*(5 + 5 - 6). 16*q**2 Expand (u - u - u)*(30 + u**2 - 31 + 5*u - 6*u). -u**3 + u**2 + u Expand (4*h - 2*h - 3*h)*(2*h**2 - 2*h**2 + h**2) - 2*h**3 + 3*h**3 + h**3. h**3 Expand (2*h + 0*h + 0*h)*(-4*h + 3*h + 3*h)*(5*h + 2 - 3*h**2 - 5*h). -12*h**4 + 8*h**2 Expand (2*t - 4*t + t)*(t + 19 - 19)*(t + 0*t + 0*t). -t**3 Expand (-2*i**2 - 5*i**2 + 4*i**2)*(-5 + 2 + 2)*(1 - 1 + 2*i**2). 6*i**4 Expand (n + 3 - 3 + 2*n + 0*n + 0*n - 4*n + 3*n + 2*n + 0*n - 2*n + 4*n + (0*n + 2*n - 4*n)*(0 + 1 - 2) - n + 2*n + 0*n)*(n**3 - 6*n**3 + 2*n**3). -27*n**4 Expand (103*d**2 - 50*d**2 - 51*d**2 + 52*d)*(-d**3 - d**3 + 4*d**3). 4*d**5 + 104*d**4 Expand (6*y**4 + 23 - 23)*(2 - 2*y + 1 - 1). -12*y**5 + 12*y**4 Expand (0*x + 4*x - 2 - 5*x)*(-10*x**2 - x**2 + 0*x**2). 11*x**3 + 22*x**2 Expand (-4*m**3 + 0*m**3 + 3*m**3)*(-2 + 0 + 5) - 2*m**3 - m + m + (2 + 1 - 2)*(-3*m**3 + m**3 + 0*m**3) + 2*m**3 + m**3 + 9*m**3. 5*m**3 Expand (-177*m - 176*m + 345*m)*(-m**2 + m**2 + m**2). -8*m**3 Expand (-3*p - 3*p + 5*p)*(-4 + 4 - p) + (-2*p + 3*p + 2*p)*(-p + 4 - 4). -2*p**2 Expand (4 - 3 - 4)*(a**4 + 2*a**3 + a**4 + 4*a**3). -6*a**4 - 18*a**3 Expand (3*u**2 - 2*u**2 - 3*u**2)*(-5 + 4 + 0)*(-2*u - 6*u + 0*u)*(0*u + u + 2*u). -48*u**4 Expand (10 + 2*h**3 - 10)*(0 + 0 + h**2). 2*h**5 Expand -5*w**5 - 2*w**4 + 58*w**2 - 58*w**2 - w + w + w**5 + (2*w**3 + 2*w**3 - 3*w**3)*(-2*w**2 + 2*w - 2*w). -6*w**5 - 2*w**4 Expand -3*w - w**4 + w + 0*w**4 + (2 - 2 - 3*w**2)*(-3*w**2 + w**2 + 3*w**2). -4*w**4 - 2*w Expand (-5 + 3 + 3 - s)*(-3 + 1 + 0)*(2 - 7 - 1). -12*s + 12 Expand (w - w - 3*w)*(-37*w - 11*w**3 + 37*w). 33*w**4 Expand -14*g - 20*g - 8*g - g + 3*g + 0*g + 2 + 2*g - 2 + (0 + 0 - 2*g)*(-3 - 1 + 6) + 0*g + 3*g - 4*g + 0*g - 3*g + 5*g. -41*g Expand 2*a - 1 + 1 + (0*a + a - 2*a)*(2 - 6 + 2). 4*a Expand (-2*q - 2*q + 0*q)*(3 + 2*q - 3)*(-5*q + 5*q + q). -8*q**3 Expand (-4*w**2 - 2*w**2 + 2*w + 3*w**2)*(-3*w - 4*w + w). 18*w**3 - 12*w**2 Expand (-3 - 4 + 1)*(c - 4 + 4 + (3 - 4 + 3)*(0*c + 3*c - 2*c) - 2*c - 3*c + 6*c). -24*c Expand (3*x - 2*x - 3*x)*(3*x - 2*x + 0*x) - x**2 - 2 + 2 + (-5*x + 5*x + 5*x)*(-4*x + 0 + 0) + x**2 + 3*x**2 - 3*x**2. -22*x**2 Expand 12*g - 12*g - 14*g**3 + (-g**2 - 3*g**2 + 5*g**2)*(g - 2*g + 2*g) + g**3 - 4*g + 4*g. -12*g**3 Expand (6 - 14*f**4 - 6)*(2 - 2 + f). -14*f**5 Expand (-2*a - 1 + 1)*(-4 - 4*a + 2*a + 2). 4*a**2 + 4*a Expand (0 + 0 - 2*b)*(-b + 5*b - 2*b) + 0*b + b**2 + 0*b - 3*b**2 - 9*b**2 + 2*b**2. -13*b**2 Expand 455 - 455 + 48*i**4 + (-2*i**2 - 3*i**2 + 4*i**2)*(3*i**2 - i**2 - i**2). 47*i**4 Expand (2 + 2 - 2)*(r - 5*r + 3*r) - r + 1 - 1 - 3*r + 2*r + 0*r + (0*r + 2*r - r)*(5 + 1 + 4). 6*r Expand (3*f**2 - f**2 - 3*f**2)*(1 + f**2 - 1 + (-f - f + 4*f)*(-f - f + 4*f) - 4*f**2 + 4*f**2 + f**2). -6*f**4 Expand (-3 + 5 + 4)*(o**3 - 2*o**3 + 2*o**3) - 1 - 4*o**3 + o**3 + 2*o**3 - 2*o**2. 5*o**3 - 2*o**2 - 1 Expand k**4 + 0*k + 0*k + (-k - k**2 + k)*(0 - 2*k**2 + 0) - 20*k**4 + 9*k**4 - 7*k**4. -15*k**4 Expand (0 - 1 + 0)*(-3*l**3 + 3*l**3 - 2*l**3 + (2 - 2 - l)*(-2*l**2 + 5*l**2 - 2*l**2) + l**3 - 4*l**3 + l**3 + l**2 - l**2 - l**3 - 7*l**3 - 3*l**2 + 3*l**2). 13*l**3 Expand (2 + 3 - 8)*(1 - 1 - 4*v**2). 12*v**2 Expand (3*k**2 + 0*k**2 - 2*k**2)*(-2*k - k + 2*k)*(-3 + 2 + 3) - 3 + 3 + 3*k**3. k**3 Expand (2 - 4 - 5)*(2 + 1 - 5)*(3*s**2 + 1 - 1). 42*s**2 Expand (-5*f**3 + f**3 + f**3 + 6*f**3)*(-4*f**2 + 0*f**2 + 3*f**2). -3*f**5 Expand 3*u**4 - 8*u + 8*u + (-2*u**4 + u**2 - u**2)*(-1 - 2 + 1) + 19*u**2 - 4*u**3 + 3*u**3 - u**4 - 15*u**2. 6*u**4 - u**3 + 4*u**2 Expand ((-1 - 5 + 3)*(-2*p - p + p) - p + 2*p + p)*(0*p**2 + 0*p**2 + 5*p**4). 40*p**5 Expand (-s + 0*s - s)*(-s**2 + 1 - 1 + (5 - 5 + s)*(-3*s - s + 3*s)). 4*s**3 Expand (-1 + 2*f + 1 + 0 + 0 + 3*f + (-2 + 3 - 2)*(-4*f + 2
{ "pile_set_name": "DM Mathematics" }
k(x) = 2. Let p(f) = 399*f**2 - 252. Let b(w) = -k(w) - p(w). What is the derivative of b(l) wrt l? -798*l What is the derivative of -43 - 112*t - 37 + 145 - 46 wrt t? -112 Let t(h) = 30*h**3 + 4*h - 73. Let a(l) = -31*l**3 - 5*l + 74. Let m(v) = -4*a(v) - 5*t(v). Find the first derivative of m(z) wrt z. -78*z**2 Let t(u) be the first derivative of -3*u**4/4 + 82*u**3/3 - 9. Find the third derivative of t(k) wrt k. -18 Suppose 203 = z - f, -f - 1 + 2 = 0. Differentiate -z - 10*v + 186 - 27*v with respect to v. -37 Let q = 7 - -12. Find the second derivative of 4*d + 16*d**3 - q*d**3 + 3*d wrt d. -18*d Let n(o) be the third derivative of 3*o**6/5 - o**5/60 + 5*o**4/24 - 25*o**2 - 3*o. What is the third derivative of n(h) wrt h? 432 Let d(j) be the third derivative of 11*j**8/84 + 6*j**5/5 - 12*j**2. Find the third derivative of d(v) wrt v. 2640*v**2 Let x(b) be the third derivative of -b**5/30 + b**4/2 + 4*b**3 - 11*b**2. What is the first derivative of x(h) wrt h? -4*h + 12 Suppose 2*q - 6 = 3*t, -6 = 5*q + t - 4. Suppose 0 = -k + 4*o - 9, q = 3*k + 4*o - 30 + 9. Differentiate -2*z + 17*z**3 - 6 + 2*z - 6*z**k with respect to z. 33*z**2 Let b(y) be the first derivative of -y**8/21 + y**4/3 - 17*y**2/2 + 6. Let z(k) be the second derivative of b(k). Find the second derivative of z(m) wrt m. -320*m**3 Find the first derivative of 47 - 41 + 111*f**2 + 107 wrt f. 222*f Suppose 23 + 7 = 2*c. Find the first derivative of -10*j - 18 - 11*j + 2*j**3 + c*j - j**3 wrt j. 3*j**2 - 6 Let a(v) be the first derivative of v**6/60 + v**5/20 - 2*v**2 - 26. Let y(i) be the second derivative of a(i). What is the third derivative of y(o) wrt o? 12 Let f(q) = -300*q**3 - 2*q + 266. Let h(d) = -d**3 + 2*d - 2. Let n(x) = -f(x) - h(x). Differentiate n(a) wrt a. 903*a**2 Let h(a) be the third derivative of -19*a**7/105 - 23*a**5/12 + 219*a**2. What is the third derivative of h(k) wrt k? -912*k Let r(p) = 4*p**2 + 53*p + 16. Let h be r(-13). Let b be 20/6*(-30)/(-25). Find the second derivative of -b*q + 0*q**h - 5*q**3 + 11*q + q wrt q. -30*q Let a(f) be the first derivative of 5*f + 8/3*f**3 - 12 + 0*f**2. Find the first derivative of a(q) wrt q. 16*q Let y(p) = p**2 + 2*p. Let w be y(-3). What is the third derivative of 16*c**4 + 15*c**2 + 3*c**2 - 4*c**3 + 4*c**w wrt c? 384*c Let o = -21 + 26. Let l(v) = -o + 4 + 2 - 2*v. Let w(x) = -1. Let r(f) = 4*l(f) + 12*w(f). What is the first derivative of r(p) wrt p? -8 Let p be 60 - (1 + -2) - 68/34. What is the third derivative of -26*q**4 - p*q**3 - 53*q**3 + 112*q**3 + 22*q**2 wrt q? -624*q Let c(g) be the first derivative of -19*g**3/6 + 9*g**2 - 24*g - 16. Let l(k) be the first derivative of c(k). Find the first derivative of l(x) wrt x. -19 Let y(l) = 1881 - 1895 + 39*l - 13*l. Let x(d) = -26*d + 13. Let a(w) = -5*x(w) - 6*y(w). What is the first derivative of a(n) wrt n? -26 Let q be (-1)/((-40)/(-175) - 3/7). Find the second derivative of 10*l**2 - 53 + 9*l**2 + l - q*l**2 wrt l. 28 Let s(p) be the second derivative of 69*p**5/10 + 113*p**2/2 + 157*p. What is the derivative of s(q) wrt q? 414*q**2 Let k(j) = -248*j - 305. Let b(y) = 247*y + 298. Let a(g) = -5*b(g) - 4*k(g). Find the first derivative of a(q) wrt q. -243 Find the third derivative of -8*f + 35*f - 68*f**5 + 10*f**5 - f**2 - 242*f**5 wrt f. -18000*f**2 Let w be (-8)/36 + 8/36. Let d(z) be the first derivative of 1 + 2/3*z**3 + w*z + 0*z**2 - 3/4*z**4. What is the third derivative of d(c) wrt c? -18 Let q(k) be the first derivative of -81*k**3 - k**2/2 - 267*k + 144. Find the second derivative of q(j) wrt j. -486 Let b(i) = 1125*i**2 + 1188*i + 7. Let g(x) = -563*x**2 - 594*x - 4. Let c(w) = 4*b(w) + 7*g(w). Find the second derivative of c(o) wrt o. 1118 Let p(z) be the first derivative of -z**8/112 + 7*z**5/30 + 9*z**2 + 30. Let a(m) be the second derivative of p(m). What is the third derivative of a(j) wrt j? -180*j**2 Suppose 0 = 5*k - 4 - 6. Let h(l) = l**3 + l**2 - 2. Let x be h(k). What is the second derivative of -3*q**2 + 1 - 1 + 4*q + x*q**2 wrt q? 14 Let i(g) be the second derivative of -20 - 7/6*g**3 - 2*g - 23/2*g**2. Differentiate i(b) wrt b. -7 Let y(q) be the first derivative of 29*q**7/42 - 16*q**3/3 + 15*q - 32. Let f(v) be the first derivative of y(v). Find the second derivative of f(z) wrt z. 580*z**3 What is the derivative of -5094*q**2 + 229 + 165 + 5228*q**2 wrt q? 268*q Let q(y) = y**3 - y**2 - 2*y + 2. Let b be (3/4)/((-3)/(-12)). Let d be q(b). Find the second derivative of -13*x + d*x + 2*x**3 - 4*x**3 wrt x. -12*x Let c(x) = 5*x**2 - 6*x + 37. Let b(l) be the third derivative of -l**5/60 + l**4/24 + l**2 + l. Let m(k) = 3*b(k) + c(k). What is the derivative of m(q) wrt q? 4*q - 3 Suppose 5*z + 5*m = 55, -2*z - 2*m = 2*m - 32. What is the first derivative of 9*i**3 + 13 - z + 12*i**3 wrt i? 63*i**2 Let q(a) be the third derivative of a**2 + 0*a**3 - 1/8*a**4 + 2/15*a**5 + 0*a + 0. What is the second derivative of q(j) wrt j? 16 What is the second derivative of 47 + l + 31 - 12 + 381*l**4 - 191*l**4 + 30*l**2 - 197*l**4 wrt l? -84*l**2 + 60 Find the second derivative of -11*d**2 + 70*d - 6*d**2 + 2*d**2 - 11*d - 2*d**5 wrt d. -40*d**3 - 30 Suppose 0 = -3*u + 705 + 135. What is the derivative of 39*w**3 - u*w + 280*w - 50 + 9 wrt w? 117*w**2 Let f(q) = 10 + 10 - 184*q**4 + 182*q**4 - 11*q**3. Let x(l) = -5*l + l**4 + 5*l + 6*l**3 - 10. Let y(h) = 6*f(h) + 11*x(h). Differentiate y(u) wrt u. -4*u**3 Suppose -r = -0*r - 3. Suppose y + z - 2 = 0, 5*y + 5*z - 10*z - 10 = 0. What is the second derivative of 6*w**y + 3 + 2*w - r wrt w? 12 Let i(b) be the first derivative of 2*b**2 - 10*b - 6. Let m be i(4). Find the first derivative of -2 - 4*k + 8 - 5 + m wrt k. -4 Find the second derivative of 2 + 7*u + 0*u - 6*u**5 + 0*u**5 + u wrt u. -120*u**3 Let v = -28 - -10. Let o = 21 + v. Differentiate 4 + 7*s**4 + o*s**4 - 4*s**4 + 0 wrt s. 24*s**3 Let t(v) = v**2 - 18*v - 17. Let h be t(19). Find the third derivative of 30*q**4 - 30*q**h - 56*q**4 - 9*q**2 wrt q. -624*q Let r = -28 + 18. Let i = r + 12. What is the third derivative of 5*m**i + m**5 - 4*m**5 - m**5 wrt m? -240*m**2 Let o(g) be the second derivative of -181*g**3/2 - 103*g**2/2 + g - 282. Find the first derivative of o(t) wrt t. -543 Let x(r) = 2*r + 17. Suppose -5*u - 2*g - 32 = 0, -28 = u - 5*g - 0*g. Let y be x(u). Differentiate -y - 5 + 6*v**4 - 1 with respect to v. 24*v**3 Suppose 3*n - 3 - 9 = 0. Suppose 3*t = -2*k + 10, -n*t + 0*t + 3*k = -36. What is the second derivative of 3*v**2 - 3*v**2 + 10*v**3 + 0*v**2 + t*v wrt v? 60*v Let n = -12 - -3. Let b(h) = h**3 + 9*h**2 - 3*h - 19. Let r be b(n). What is the second derivative of -3*o**2 + 0*o - r*o + o - 2*o**2 wrt o? -10 Find the third derivative of 19*r**2 + 122*r**3 + 12*r**2 - 319*r**2 wrt r. 732 Let t(y) be the first derivative of 27/7*y**7 + 0*y - 40/3*y**3 + 0*y**2 + 0*y**6 + 0*y**4 + 0*y**5 + 20. Find the third derivative of t(b) wrt b. 3240*b**3 Let h be 3/(-2)*12/18. Let m(j) = -15*j + 9. Let i(w) = -w. Let f(t) = h*m(t) + 4*i(t). Differentiate f(l) wrt l. 11 Let t = 3 + -3. Let r(n) be the first derivative of -3/7*n**7 + 0*n**4 + t*n + 0*n**2 - 2*n**3 + 0*n**6 + 0*n**5 - 10. Find the third derivative of r(i) wrt i. -360*i**3 Let s = 111 + -109. Differentiate -8*c + s - 29*c + 28 wrt c. -37 Let m(f) = -2*f**2 - 2. Let x(h) = 852*h**2 + 493. Let u(w) = 3*m(w) - x(w). Differentiate u(t) with respect to t. -1716*t Let i(k) = 5*k**2 - 3*k + 3. Let a(d) = -d - 6. Let x be a(-8). Let n be i(x). Find the third derivative of 17 - 3*m**4 - n - 4*m**2 + 4*m**4 wrt m. 24*m What is the second derivative of -210*m**4 + 52*m**4 - 5*m**4 - 10 - 7*m - 2*m wrt m? -1956*m**2 What is the second derivative of -205*s - 98*s**5 + 289*s**5 + 258*s**5 - 24*s**5 wrt s? 8500*s**3 Let s(h) be the third derivative of -7/120*h**6 + 0*h**3 - 5/12*h**4 + 0*h + 0 + 0*h**5 + 11*h**2. What is the second derivative of s(g) wrt g? -42*g Let w = 101 + -74. Find the first derivative of -1 - 4 - w*k + 65*k wrt k. 38 Let m be ((-15)/(-9))/(6/18). Let k(d) be the first derivative of 3/5*d**5 + 0*d + 0*d**4 - m + 3/2*d**2 + 0*d**3. What is the second derivative of k(q) wrt q? 36*q**2 Suppose 5*y - 53 = -2*n, 5*y + 0*n - 58 = 3*n. Find the second
{ "pile_set_name": "DM Mathematics" }
= 2*y. Let g = -21 + 127/6. What is the nearest to -1 in 0.5, g, y? g Let r = -1670 + 1672. Which is the nearest to r? (a) -10 (b) 1/2 (c) -0.5 (d) -4 b Let y = -3939.8 + 3940. Let b(f) = -f**3 - 2*f**2 + 4*f + 4. Let s be b(-3). What is the nearest to 10 in -5/3, y, s? s Let s = -79 + 69. Let l = 4.28 + -0.28. What is the closest to s in l, -3/2, 0.2? -3/2 Let s be (8/(-3))/(-1) - 30/10. Suppose 0 = 4*h - 16 - 64. Suppose -2*x - 13 = -4*f + 7, -5*x = -4*f + h. What is the closest to s in -1/4, x, -4? -1/4 Let d(l) = l**3 - 3*l**2 - 2*l - 2. Let f be d(0). What is the nearest to 1 in f, 0.3, 8/3? 0.3 Let k be -35*(36/(-15))/(-4). Let z = 22 + k. What is the nearest to z in -2/11, -2, -4/7? -2/11 Let x = 4 - 7. Let t = 2 - x. Let r = -1.8 - 0.2. Which is the closest to -5? (a) -1/3 (b) t (c) r c Let f = 1489 + -1463. What is the nearest to 0 in f, 5, -4? -4 Suppose -8*x + 3*x = 20. Let g be (-120)/(-28) - x/(-1). Let w = 0.27 - -1.73. Which is the closest to g? (a) -2 (b) w (c) -0.2 c Let h be 2/(-3)*-6 - 0. Suppose -2*j - j + 8 = -4*m, -h*j = 0. Let n = 86776 - 954538/11. Which is the closest to 0? (a) m (b) 0.1 (c) n b Let r = -8963.1 + 8963. Let q be (-2 + -13)*2/5. Let n be -2 - q/4 - 1. Which is the closest to r? (a) n (b) -1 (c) 2 b Let g = 17.78 + -13.78. Let i(f) = -f + 1. Let t be i(1). Suppose -5*u + v + 34 = 0, -4*u + t = 5*v - 4. Which is the nearest to -1? (a) g (b) u (c) 2 c Suppose -2*x = -19*x + 68. Let q = -0.32 + -0.68. What is the closest to q in 3/7, x, 0.07? 0.07 Let z = -3.4 - -6.4. What is the nearest to -1 in 4, z, -0.4? -0.4 Let y be ((16 - 0)/4)/((-4)/4). What is the closest to 3/11 in 4, y, 0.2? 0.2 Let i = 16 - 31. Let y be -3*1/(i/1). Let k = -2.463 - 0.537. Which is the nearest to 1/4? (a) 2/11 (b) k (c) y c Let v(t) = 19*t - 18. Let w be v(1). Let s = -3 + 1. What is the closest to s in 4, w, 1/3? 1/3 Let p = 198 - 198. Which is the nearest to -0.1? (a) -0.1 (b) -2/13 (c) p a Let o = -0.0784 + -0.9216. Which is the nearest to -4? (a) -3 (b) -0.2 (c) 3 (d) o a Let w = 15.38 - 15. Let k = -1.38 + w. Let i be (-1)/28 + (-10)/(-35). Which is the nearest to i? (a) 1 (b) k (c) -0.4 c Let i be (-2)/(1/(8/64)). Which is the nearest to i? (a) 0.3 (b) -0.4 (c) -0.5 (d) -17 b Let o = 1.44 - 1.375. Let r = 8.935 + o. What is the closest to 2 in r, 0.2, 3? 3 Let d = 403 + -404. What is the closest to -1 in 0.3, 2, d, -0.2? d Let l = -833/1251 + -1/1251. Let n = 9/10 + -33/20. Which is the closest to l? (a) 1/2 (b) -16 (c) n c Let v = -0.04 - 1.96. Let u = 39/22 + -3/11. Which is the closest to 3? (a) v (b) -3/8 (c) u c Let m = 14 - 10. Let g be 4/(-1 - -1*4). Let t(s) = 2*s + 43. Let u be t(-21). Which is the closest to -2? (a) m (b) u (c) g b Let w = -0.0063 - 0.2937. Let l = 3.2 + -0.2. Which is the nearest to w? (a) l (b) 2 (c) 4 b Let f = 262 - 260.47. Let t = 0.47 + f. Which is the nearest to -1/2? (a) 1/3 (b) t (c) 0.5 a Let h be 134/256*(-14)/21. Let l = 1/64 + h. Let i be ((-3)/15)/((-18)/(-15)). Which is the nearest to i? (a) 0.5 (b) -3/5 (c) l c Let q = -17.8 - -5.9. Let u = q + 11. Let j = u + -0.1. Which is the nearest to -1? (a) -10 (b) j (c) 4 b Let q = -6 - -4. Let x = 131 - 126. What is the nearest to q in -4, 4, x? -4 Let j = -49.7 - -49.2. Which is the closest to 1/19? (a) j (b) -0.1 (c) -5 (d) 0.5 b Let y = -63 + 51. Let l be ((-1)/(-3) + 1)/((-4)/y). What is the nearest to -0.1 in l, -1, -2? -1 Let m = 1331 - 1329. Which is the nearest to m? (a) -2/7 (b) -3 (c) 5 (d) -4/5 a Let q(v) = 25*v - 22. Let o be q(1). What is the closest to 0.05 in o, -2, 0.3? 0.3 Let n = 13.86 - 15.86. Which is the closest to 0? (a) -1 (b) -6 (c) n (d) -2/5 d Suppose -3*u = -6*u + 4*u. Let v be (1*(-6)/4)/3. Let d = 4.6 - 5. Which is the nearest to u? (a) v (b) 2/3 (c) d c Let x(r) = -r**3 + 3*r**2 - 2*r + 1. Let g be x(2). Let j = 0.877 - 0.977. What is the closest to g in j, -3, -1? j Let x = -88.5 + 82. Let u = x - -6. Which is the closest to -3/13? (a) u (b) -0.1 (c) -5 b Suppose p + 5*s - 15 = 0, s = 4*p - 12 - 6. Let r = 257/5 - 51. What is the closest to 1 in r, 0.1, p? r Let n = 13/63 - 3/7. Which is the closest to -5? (a) n (b) -0.1 (c) -7 (d) 0 c Let w = 2.7 - 3. Let g = w - -0.3. Let n be (-28 - -30) + -2*(-33)/(-30). What is the nearest to g in n, -2, 5? n Let j = 1 + 2. Let r = j + -9. What is the nearest to r in -0.5, -0.3, -5? -5 Let i = 0.022 + -25.022. Let d = i + 26. Let x = 0.1 - -0.9. What is the closest to d in x, 0.3, 4? x Suppose 4*k = 5*g + 16, 2*k - 19 + 5 = g. Let j = -13 + k. Let u be j/(-10)*(-25)/(-35). Which is the nearest to u? (a) 1 (b) -0.1 (c) -5 b Let f = -476 + 477. Which is the nearest to -1? (a) f (b) 2/7 (c) 1/10 (d) 2/3 c Let h = 111 + -1223/11. Let i be (-2755)/(-247) + (-5 - 6). What is the nearest to i in 2, h, 0? 0 Let h(z) = -z**3 + 12*z**2 - 13*z + 23. Let y be h(11). Which is the nearest to y? (a) -0.5 (b) 2 (c) -3 (d) -5 b Let t = 168.91 - 169. Let w = 0.13 + -2.13. Which is the nearest to w? (a) 1/11 (b) -1 (c) t b Let q = -5826/8569 - 3/1558. Let u = 2/11 + q. What is the nearest to 1 in 0, -5, u? 0 Let u be (-2)/9 + 664/72. What is the closest to -1/2 in u, -0.2, 0.1, -5? -0.2 Let l be (3/6)/((-5)/6). Let h be (-22)/12 - (-3)/6. Let p = -2.55 - -2.6. Which is the nearest to 0.1? (a) l (b) h (c) p c Let z(q) = q**3 - q**2 - 3*q - 38. Let l be z(4). Which is the closest to l? (a) -5/3 (b) 3/4 (c) 1 (d) 3 a Let l = 10 + -8. Suppose -15 = -3*w - 0*w. Let j = 5 - w. Which is the nearest to j? (a) 1 (b) l (c) -5 a Let h = -8 + -18. Let k be h/(-7) + 2/7 + 0. What is the nearest to 2/3 in k, -2/7, 6? -2/7 Let d = -36.037 - -0.437. Let j = d - -36. What is the closest to 2/9 in 0.2, -1, j? 0.2 Let m be 120/75*(-1)/12. Which is the closest to -1? (a) -0.29 (b) -2/11 (c) m (d) -1/5 a Let l = -1967 + 1983. Which is the nearest to l? (a) -0.5 (b) -1 (c) 0.4 (d) 4 d Let u = -0.185 - -0.295. Which is the closest to 2/9? (a) u (b) -1 (c) -0.2 a Let t = -13.39 - -10.39. What is the nearest to 0 in 1, t, 2.4? 1 Let j be (-38)/(-9) - 624/156. Let x = -5 - -2. Which is the nearest to j? (a) 5 (b) x (c) 1 c Let m = -0.1 - -0.3. Let c = 84.8 - 85. What is the closest to m in -1, c, 2? c Suppose k + 6*t + 5 = 3*t, -3*k - 4*t = 15. Let q = 185.6 + -195.57. Let j = q - -10. What is the nearest to -0.1 in j, 0.2, k? j Let r = 0.495 + -0.095. What is the nearest to 0.039 in 0, -0.1, r? 0 Let q be ((-2)/36)/(-10*5/(-150)). What is the nearest to 0.1 in 48, 2, q? q Let g = -73/18 - -9/2. What is the closest to -1/2 in g, 0.4, 0.2? 0.2 Let d = -58 - -59. Let y = 1 + 4. What is the closest to d in y, -2, 3? 3 Let s = -39 + 38.91. Let g = s - 0.01. Let j = 5.2 + -1.2. What is the closest to g in j, -0.4, -5? -0.4 Let x be 2/12 - (-55)/30. Let n(f) = f - 2*f - x*f - 1. Let v be n(-2). Which is the closest to -1? (a) v (b) -0.4 (c) 4 b Let y = 27 + -29. Let o = 353/6 + -59. Which is the closest to y? (a) o (b) -3 (c) -4 b Let s be (-15)/20 - 27/(-12). Let n = -199 + 195. What is the nearest to 2 in s, n, -2? s Let v = 166 - 165.7. Which is the closest to -0.3? (a) 48 (b) v (c) -0.2 c Let f = 1 + 0. Let o = f + -2. Let q = 0.306 + -0.006. What is the closest to o in q, 1/2, 3? q Let p be 2 - 0 - (2 + -2). Let w = -9 + 10. Which is the nearest to w? (a) 1 (b) -0.3 (c) p a Let f be 4/(105/14 - 4). Let n = 30/73 + -1077/1022. Let h = f + n. Which is the closest to 0.1? (a) -4 (b) h (c) 0.4 c Let d = 0.32 + -0.52. Let g = -63.4 + 100.3. Let v = 37 - g. Which is the closest to d? (a) 0 (b) v (c) -1/6 c Let t = -66 + 65.8. Let z = 0.4 - -1.6. Let h = 5 - 2. Which is the closest to 2? (a) t (b) z (c) h b Let p = 556 - 555.8. Which is the closest to -3? (a) 3 (b) -3 (c) p b Let u be (1 - (-34)/(-38))*1. What is the nearest to u in 3, -1/3, -0.1? -0.1 Let t be ((-869)/(-99) + -9)/((-2)/(-3)). Which is the closest to 0.1? (a) -0.1 (b) t (c) -2 (d) 2/3 a Let v = -4.88 - -6.88. What is the closest to 0 in 5, 0.2, v, 0.1? 0.1 Let m = 9.2 + -9. Let z = m + -0.2. What is the nearest to -8 in 1, -1/4, z? -1/4 Let r = 2405 - 2410. Which is the closest to 0? (a) 0 (b) 1/11 (c) -6
{ "pile_set_name": "DM Mathematics" }
for m. -3 Solve -4*c = 5*x + 28 - 12, -3*c = x + 1 for c. 1 Solve -8*m + 44 = -4*z, m - 14*z - 1 = -18*z for m. 5 Solve 24*r - 14*r + 16 = 6*r, -31 = -2*k + 31*r + 85 for k. -4 Solve b - 2350 = -2351, 4*b + 10 = -v + 2 for v. -4 Solve -38*a = -35*a + 2*r + 17 + 9, 44*r + 12 = 4*a for a. -8 Solve 177*q - 3*n - 6 = 174*q, 3*n - 18 = -3*q for q. 4 Solve 0 = -4*w - 3*x + 13, 12 = -16*w + 19*w + 3*x for w. 1 Solve 5*d = -5*a, -101 + 105 = d + 5*a for d. -1 Solve -g + 51 = 2*k + 57, 3*k = 3*g for g. -2 Solve 602*f - 605*f = 5*y - 44, -2*f = -3*y + 34 for y. 10 Solve -57*x - p = -52*x + 54, -2*p = -4*x - 32 for x. -10 Solve -5*n = -2*f + 2 + 9, -5*n + 19 = 8*f for n. -1 Solve -5*p + 5*d = 30, -3*p = d - 3 + 9 for p. -3 Solve -3*f + 32*q = 26*q - 34*q - 151, 0 = -4*f + 3*q for f. -3 Solve 133*n - 137*n = b + 9, -29*n + 24*n = 5*b for b. 3 Solve 0 = -2*z + 3*r + 49, -2*z + 201 + 186 = -29*r for z. 5 Solve 0 = 4*p - 4*n - 72, 22*p - 87 = 17*p + 2*n for p. 17 Solve -3*f = -15, 0 = 8*l - 4*l - 3*f - 13 - 0 for l. 7 Solve -13*i + 23*i = w + 49, -5*w = 4*i - 25 for w. 1 Solve -3*t + 1 = -2*o, 3*o + 57 = -4*t + 64 for t. 1 Solve 4148 - 4154 = -m - 3*c, -4*m - 2*c = 16 for m. -6 Solve 0 = -x, -170 + 164 = 3*r + 3*x for r. -2 Solve 3*k = 4867*s - 4870*s + 3, 4*k - 4*s + 36 = 0 for k. -4 Solve 33*j = -3*s + 138, -j - 79 + 87 = 2*s for j. 4 Solve 2*o = 174*v - 179*v + 13, -10 = -2*o - 2*v for o. 4 Solve 2*j + 3*w + 0 + 5 = 0, -4*w = -3*j - 33 for j. -7 Solve 3*t = -2*l + 2, -8 = -275*l + 278*l - t for l. -2 Solve 14*q = 7*q + 8*q - 2*v, 5*q + 43*v = 53 for q. 2 Solve -26*h = -28*h - 5*p - 15, 2*p = -2 for h. -5 Solve 169*c - 2*i = 130*c + 193, -c = 4*i - 9 for c. 5 Solve l = -5*q + 4, -q - 10*l - 8 = -12*l for q. 0 Solve -2*p - 2*a - 10 = 0, -16 = 38*a - 34*a for p. -1 Solve 40*t - 42*t + 9 = a, a - 3 = 4*t for a. 7 Solve 0 = v - 5*g - 30, -4*v - g + 28 - 13 = 0 for v. 5 Solve 4*q = -p + 2, -582*p - 8 = -586*p - q for p. 2 Solve 2 = -4*s + 5*y - 11, 5*s + 2*y - 25 = 0 for s. 3 Solve -4*x = 12, 0 = 4*p + 1836*x - 1831*x + 67 for p. -13 Solve -2*k - 18 = b - 23, k + b = 3 for k. 2 Solve -3*p + x + 3*x + 47 = 0, 3*x = -2*p + 3 for p. 9 Solve -4*d + y = -26, 2*d + 5*y - 13711 + 13753 = 0 for d. 4 Solve a = q + 1063 - 1066, 0 = 3*a + 2*q - 16 for a. 2 Solve 0 = -2*s + 2*y + 10, 3*s - 38 = 4*s + 3*y - 3 for s. -5 Solve 4*f = l + 31, -572*l = -576*l + 3*f - 33 for l. -3 Solve -7*x - 617*g + 619*g - 10 = 0, 3*x - 18 = 12*g for x. -2 Solve -3*q = -5*o + 41, -4*o - 4*q + 34 - 46 = 0 for o. 4 Solve 4*t - 39 = -4*u - 35, 14 = 2*t - 4*u for t. 3 Solve 2*g - 273*q = -278*q + 43, -2 = 2*g - 4*q for g. 9 Solve 2*g - 3*c - 234 = -230, -4*g + 20 = -3*c for g. 8 Solve 11*q = 3*i + 1193 - 1174, -3*q = -5*i - 93 for i. -21 Solve 4*p - 36 = 4*v, -1056*p - 12 = -1058*p + v for p. 3 Solve 0 = -3*j - 2*p + 1437 - 1433, p + 8 = j for j. 4 Solve 107*k + 4*n - 20 = 112*k, -4*k - 16 = -21*n for k. -4 Solve -5*u + 36 = 63*z - 62*z, -2*u = z - 12 for u. 8 Solve -1824*y + 1821*y = 2*i - 9, -4*i = -3*y + 9 for y. 3 Solve 3*k + 4 = -5*b, 4*b - 183 = -11*k - 212 for b. 1 Solve 5*r - 32 = -4*p, 10 = 6*p - 18*r + 16*r for p. 3 Solve 0 = -3*a - 3*z + 3, 4*a - 2*z + 15 = 43 for a. 5 Solve -3*d - 2090*f - 35 = -2085*f, 5*f = 5*d + 5 for d. -5 Solve -4*n - 3*d + 2 = 0, -4*n = -4*d + 79875 - 79863 for n. -1 Solve -19*r = 17*r + 19*r, -6*x = -x - 5*r - 125 for x. 25 Solve -2*q + 9*a - 29 = 22, -q = 3*a + 3 for q. -12 Solve 2*h + 22*x - 25*x - 20 = 0, 0 = 4*h + 3*x - 4 for h. 4 Solve -44856*a + 44855*a - 451 = -35*r, -5 = -r + 2*a for r. 13 Solve -9*x + 40 = -u, 5*u + 2649 = x + 2669 for x. 5 Solve -2*i - 4*m - 8 = 0, -120*i - m = -123*i + 16 for i. 4 Solve -5*x - 2*z = 9*z - 62, 28 = -5*x + 3*z - 8 for x. -3 Solve -5*x - 272 = s - 313, -2*s - x = -1 for s. -4 Solve v = 6, -2*x = -5*v - 8783 + 8817 for x. -2 Solve -2 = -x, -230*x = 4*o - 225*x - 22 for o. 3 Solve 33 = -a - 3*b, -b + 2102 - 2127 = 5*a for a. -3 Solve 1927*v - 1983*v = -5*a - 489, -4*v + 51 = 5*a for v. 9 Solve -3 = 12*u - 15*u, 4*t = -t - 4*u - 96 for t. -20 Solve 3 = -328*j + 325*j, -6 = -2*q + 2*j for q. 2 Solve -7*h + 12*h + 60 = -40, 2*h - 5 = -9*g for g. 5 Solve 0*m = -z - 3*m + 16, 32 = 4*z + 4*m for z. 4 Solve 3*v + y + y + 10 = 2, 0 = -5*y + 25 for v. -6 Solve -2*l + 3*x = -0*x - 18, -8*l - 222*x + 227*x = -30 for l. 0 Solve -i = -172*x + 166*x - 29, -4*i - 2*x = 14 for i. -1 Solve -3*v - 5*m = 15, -4*v - 23 = 5*m + 2 for v. -10 Solve -4*z = -3*v + 63, -787 = -2*z + 5*v - 878 for z. -3 Solve -2*m - 2 = 75*p - 77*p, 3*p - 9 = 4*m for p. -5 Solve -52 = -2*y + 4*f - 54, -3*y = 3*f + 12 for y. -3 Solve -2*d + 4 = 4*h, -74*d + 48*d + 3*h = 58 for d. -2 Solve 3*t = -4*d + 22, t + 278 = 5*d + 260 for d. 4 Solve -4*w - 136 = -41*f + 6*f, -3*f + 11 = -w for w. 1 Solve 105*o - 209*o + 103*o = -16*s + 28, -3*s - 14 = -5*o for o. 4 Solve -13 = 3*p - i, -178*p - 18 = -174*p - i for p. -5 Solve -6*p - 1052*y - 18 = -1048*y, -p + 25 = -4*y for p. 1 Solve -358*s + 363*s + 80 = 0, 5*s + 86 = 2*w for w. 3 Solve 0 = -2*n - 3*w + 2, -12*n - 325 = w - 303 for n. -2 Solve 879*t - 36 = -6*w + 877*t, 5*t = 3*w + 54 for w. 2 Solve 0 = 4*s + 2*w - 1303 + 1309, w + 18 = s for s. 5 Solve -4*u + 101 - 97 = -4*m, -m - 13 = 11*u for m. -2 Solve 0 = v - 4*a + 1, 5739*v = 5742*v - a - 8 for v. 3 Solve -s = 3*w + 14, 25 = 5*s + 80*w - 84*w for s. 1 Solve -7 = -4*u + t, -564*u - 5*t - 4 = -559*u - 19 for u. 2 Solve -45 = -4*w - 5*g, -1860*g = 4*w - 1857*g - 35 for w. 5 Solve 34 = -3*x + 5*w, -4*w - 1424 = -x - 1447 for x. -3 Solve 366*m - 370*m - 4 = b, 5*m = 4*b - 26 for b. 4 Solve 0 = -36*j + 73*j - 34*j + 46*m - 190, -4*m = -j - 14 for j. 2 Solve 5*y = l + 59, -4*l + 1099*y = 1097*y + 38 for l. -4 Solve 0 = l + 4*w + 10, -30*l - 4*w = -26*l + 4 for l. 2 Solve 3*c - 11 = -2*z, z = 12*c - 13*c + 4 for c. 3 Solve -2*t = 3*i, -5*t - 17*i + 19 = -19*i for t. 3 Solve v + 569*t - 572*t + 47 = 0, -4*t + 66 = 2*v for v. 1 Solve 4*k + 32 = 849*u - 845*u, -4*k - 16 = 0 for u. 4 Solve 2*d + a = 8, -36 = d - 4*a + 2*a for d. -4 Solve -3 = -5*m - h + 27, 0 = -5*m + 3*h + 50 for m. 7 Solve -4*z = -24864*x + 24860*x + 32, -4*z = -5*x + 30 for x. -2 Solve -4*s - 98 = -2*i, 6*i + 308 = -3*s + 227 for i. -1 Solve 199*a - 11 = 200*a + 4*j, -1 = -a - j for a. 5 Solve 2 = -3*f + m, -28*f - 4*m = -24*f + 24 for f. -2 Solve -5*f + 30 = -5*a, 0 = 4*f + 139 - 127 for a. -9 Solve 5*q + 89*a = 92*a - 35, 4*a - 16 = -q for q. -4 Solve 50*j - 55*j = 4*x + 15, 0 = -j + 5*x + 26 for j. 1 Solve k = -2*j - 3, 5*k - 9 = -56*j + 52*j for j. -4 Solve 6 = -3*i, -54*f + 57*f + 3*i + 3 = 0 for f. 1 Solve -s = -5*v + 23, 248*v - 121*v - 2*s + 29 = 132*v for v. 5 Solve 125 = 4*s - 2*m + 135, 3*m - 9 = 4*s for s. -3 Solve 11640*v + q + 12 = 11637*v, 2*q + 10 = v for v. -2 Solve -2*d - 9 = 4*l + 2*d - 1, 0 = -2*l + 3*d - 19 for l. -5 Solve 3*n = 6, 10*q + 26*q - 5*n = 32*q + 58 for q. 17 Solve 0 = 5*p - i + 31, -3*p = 5*i - 6*i + 19 for p. -6 Solve 0 = -2*r - 4*t - 8, -200*r = -198*r + 2*t + 10 for r. -6 Solve -3*w - 2*g = 2, -2*w - 7 + 12 = -5*g for w. 0 Solve 980*y - 2 = 4*g + 983*y, y - 1 = -3*g for g. 1 Solve 4*u = 7*c - 12, 5*u + 10*c + 15 = 7*c for u. -3 Solve 4*d - 26 = 2*r, -171*r + 167*r = 4*d + 16 for r. -7 Solve -4*n - 5*l - 33 = 0, -38*n + 33*n + 3*l + 5 = 0 for n. -2 Solve 87*m = 85*m + 2*s - 6, 0 = 4*m - 3*s + 16 for m. -7 Solve k = 5*x - 10, 3*k = -3*x - 0 - 12 for x. 1 Solve -2*a + 2*n - 4 = 0, 326*n - 5 = 325*n for a. 3 Solve 4*v = u - 10, -3*u + 12*v - 2 = 16*v for u. 2 Solve -14 = 5*i - 3*a, 906*a - 22 = 3*i + 911*a for i. -4 Solve -313 + 317 = -4*j + 4*a, 13*a = -j - 29 for j. -3 Solve 4 = u, p + u - 39 + 33 = 0 for p. 2 Solve -2*t - 9*q = -11*q - 2, 2*q + 5 = 5*t for t. 1 Solve -3*s + 302*q = 298*q + 31, s + 2*q - 3 = 0 for s. -5 Solve 4*s = -3*d - 147 + 254, -2*s + 36 = -2*d for d. 5 Solve 7*o + 46 = 3*k, 2*k - 38 = 5*k + 5*o for k. -1 Solve 0 = -5*x - 3*z + 15, 60 - 55 = -4*x + z for x. 0 Solve 109*m + 2*z = 90*m - 2, 0 = 3*m + 4*z + 4 for m. 0 Solve 3*i + 2145*u - 40 = 2150*u, 2*u = -5*i + 15 for i. 5 Solve -10*h + q = -13*h + 16, 0 = -5*h + 7*q - 8 for h. 4 Solve 3*n + 71 = 110, -3*n + 21 = -6*u for u. 3 Solve i = 5*c + 13, 7*i - 34 = 3*c - 39 for i. -2 Solve o + 2*i - 6*i + 2
{ "pile_set_name": "DM Mathematics" }
2*b**3 + 2*b**2 + 3*b + 8. Let m be v(-3). Suppose 0 = -2*r - 4*d - 46, -5*d - 2 = 13. Is r*m*(1 - 2) prime? False Suppose -3*f = -4*i - 68, -28 = -2*f + 5*i + 15. Suppose f*t = -5*t + 190327. Is t composite? False Is (-4)/(8/(-22)) - (-779868)/29 composite? False Let d(u) = -656*u**3 + 2*u**2 + u - 5. Suppose -2 = 58*q - 57*q. Is d(q) prime? False Suppose 43*q = 32*q + 3850. Suppose -14 = 3*s - 4*v, 2 = -3*s + 2*v - 2. Suppose s*g - q = 428. Is g a composite number? False Suppose -54*a + 20*a + 8568 = 0. Suppose 5*m - 5 = s, 15 - 5 = -3*m - 2*s. Suppose 3*c + 9 = m, 4*c + a = 2*v + 2*c. Is v composite? True Let u(b) = 138*b**3 - 6*b**2 + 20*b - 15. Let x be u(6). Suppose 2*i - x = -7219. Is i a composite number? False Let h = -13712 - -2364. Let x = -7717 - h. Is x prime? True Suppose -5*t - 206834 = -o + 709966, 0 = -4*o - 4*t + 3667224. Is o a prime number? False Let p be 1934*3*4/(-12). Let r be (19672/2 + 1)*(-76)/(-228). Let j = r + p. Is j a composite number? True Let a = 41 - 37. Suppose 27 = a*j - x, x = -x - 6. Is (j/3)/(-2)*-499 composite? False Let b(r) = -1216*r + 5805. Is b(-46) composite? True Suppose 3*g + 3*i + 12 = 0, 0 = -2*g + 3*i - 10 - 13. Let t = g + 39. Suppose 6 = -2*l, -l - t + 498 = b. Is b composite? True Let z(f) = 126*f**2 + 21*f + 29. Let p be z(-7). Suppose -589 - p = -5*i. Is i prime? False Suppose -p = -6*p + 5*z - 70, 3*z - 15 = 0. Let j(h) be the third derivative of -19*h**4/12 - 25*h**3/6 + h**2 - 11*h. Is j(p) composite? False Let a = -505197 - -1017466. Is a composite? False Let h(q) = -q + 150. Let a(p) = 23*p - 18. Let v be a(1). Is h(v) a composite number? True Suppose -5*t - 4 = -64. Suppose 5*m - 2*f = f - t, 5*m + 16 = 4*f. Suppose -5*h - v - 3*v + 1883 = 0, m = -5*h - 3*v + 1886. Is h prime? True Let o(k) = -k**3 + 4*k**2 + 5*k + 5. Suppose 14*s - 10 = 12*s. Let m be o(s). Suppose b - 180 = -5*z + 98, -2*b - m*z + 541 = 0. Is b prime? True Suppose 7*q - 4*q - 5*l = 29, -5*q - 5*l + 35 = 0. Let v = 38 + -37. Is q/(9 - 5) + 1161/v prime? True Suppose 4*a - 2*y - 66 = 0, 6*a - 55 = a - 3*y. Let w = a + -23. Is (4926/w)/((-6)/9) a composite number? False Let o(t) = -45*t**3 + 37*t**2 + 9*t + 4. Let b be o(-13). Suppose 0 = 2*m, 6*m + b = 5*h + 10*m. Is h composite? False Let m(n) = n**3 - n - 25. Let d be m(0). Let i = -16 - d. Let z(u) = -u**3 + 11*u**2 - 9*u + 6. Is z(i) composite? True Let f(u) = -843*u**3 + 9*u**2 + 17*u - 49. Is f(-6) prime? True Let n = 36 - 37. Let q be 315/30 - n/(-2). Let o(d) = 4*d**2 + 12*d + 1. Is o(q) prime? True Is ((-5 - -6)*-1*563327)/(-2)*2 a composite number? False Let u be (-18)/36*(-8)/(-1) + 6678. Suppose -3*i = 5*r - 4997, -4*i + 0*i - r = -u. Is i prime? True Let a(x) = x**3 - 17*x**2 - x + 20. Let n be a(17). Is ((-2825)/20)/(n/(-12)) a prime number? False Suppose -9*x + 175454 - 61775 = 0. Let i = x + 370. Is i composite? False Suppose 2*o - 8 = -4*a + 22, -2*a = -o - 5. Suppose -o*p - 10431 = 3*v, -3*v + 9267 = -4*p + 906. Let n = 3097 + p. Is n composite? False Let n = 557540 + -231897. Is n a prime number? True Suppose 0 = -6*p + 17 + 13. Suppose p*r - 27978 = 3*r. Is r prime? False Suppose -169966 = 6*h - 40948. Let o = -10830 - h. Is o a prime number? False Suppose 2*g - 5*g = 3*y - 164004, -3*g = 5*y - 273338. Is y composite? False Let c(d) = -36*d**2 + 8*d. Let g be c(-3). Let z = -227 - g. Is z a prime number? False Let w be -513 + (2/6)/((-10)/90). Let m = w + 1103. Is m prime? True Let w be (0/4 - -2)*-1. Let u be ((-11)/(-22))/(w/12). Is u/5 - (-25156)/10 a prime number? False Let w(k) = 14*k**3 - 2*k**2 - 24. Let s be w(-4). Let r = s - -1671. Is r a prime number? True Let k(j) = 60*j**3 - j**2 + 4*j - 3. Let y be k(1). Let g = y - 43. Let v = 70 - g. Is v a prime number? True Suppose -b + 20749 = -0*x + 2*x, 2*b - 41504 = -2*x. Suppose 0 = 4*n + 3*n + b. Let a = -1746 - n. Is a prime? False Is 4516473/25 + 136/1700 a composite number? True Let q(k) be the first derivative of k**4/4 + 2*k**3 - k**2/2 - 2*k + 1. Let f be q(-6). Is ((-6197)/4)/((-2)/f)*2 a prime number? True Let p = -18 - -18. Suppose p = 5*n - 10 - 5. Suppose -n*l + l = -1318. Is l composite? False Let l(n) = -7*n**2 + 7*n + 6. Let t be l(-1). Is (-7)/((-21)/(-4))*4308/t a prime number? False Let n(j) = 51*j**2 - 44*j + 36. Let x(h) = -10*h**2 + 9*h - 7. Let a(r) = -2*n(r) - 11*x(r). Let y be a(5). Is (-24)/(-6) + y/2 prime? True Suppose -2*t - 24 = -5*s, 2*t - 36 = -s - 4*s. Let n be ((1067 - 2) + 5)*2/5. Suppose -2*v - 3*j = -n, s*j - 8 = 2*j. Is v a prime number? True Suppose k - 9 = h - 3*h, -3*k + 2 = h. Suppose 13153 = h*z - 5892. Is z a composite number? True Let l = 34540 - 6459. Is l a prime number? True Let h(x) = 5*x + 3. Let n be h(0). Suppose 4*z = -3*d + 107, -z + 7 = -n*d - 1. Is z prime? True Let y = 229709 - -267432. Is y prime? True Suppose 54 = -8*a - 10*a. Is 10/15*2886 + a prime? False Let z = -34816 - -67257. Is z prime? True Suppose 4*c - 5*c + 2*l = 3394, -4*c - 4*l - 13516 = 0. Let m be 8/10 + (4 - c/20). Suppose q - 13 = m. Is q prime? False Suppose 18366 = l - 3*g, 4*l - 73481 = g - 6*g. Suppose 18672 = 3*x - l. Is x prime? True Let w = -17208 + 92461. Is w prime? True Let j = -469579 + 830913. Is j prime? False Let g(r) be the first derivative of 241*r**4/4 - 4*r**3/3 - 3*r**2/2 + 7*r + 23. Is g(3) prime? True Suppose 7*t - 4*i = 6*t + 18, -3*t + 4*i = -22. Let d be 1863 - (-2 - -6) - (-3 + t). Suppose -22 = -2*k + d. Is k a composite number? False Is (-927)/12*21004/(-267) composite? True Let c be 15*((-65)/25 + 3). Suppose f - c*f = -15. Suppose -f*o - z + 2214 = -2*z, -2*z = 6. Is o a prime number? False Let i = 201 + -187. Suppose 0 = i*f - 57274 - 15456. Is f prime? False Suppose 38*u = 2*u + 1906668. Is u composite? False Suppose n + 7 = -5*i, 0*n = 3*n + 4*i + 21. Is (-11 - 80/(-7)) + (-11176)/n a composite number? False Let n(k) = -k**3 - 3*k**2 - 18*k - 33. Let p be n(-3). Suppose -16051 = -28*f + p*f. Is f a prime number? True Suppose -81*z + 592104 = -592197. Is z prime? True Let m(n) = -227*n + 10*n - 104*n + 101 - 143*n + 17*n. Is m(-14) a composite number? False Let w(j) = -j + 6. Suppose 33 = 4*p + 3*u, -3*p + 3 = -4*u - 3. Let i be w(p). Suppose -o = 5*q - 461, 5*o - 2*q = -i*o + 2413. Is o composite? True Let a be 32/48*(-6)/(-1) - 6. Is 3 + (-110004)/(-18) + a/(-3) a prime number? False Suppose -u = 20*k - 18*k - 2237, 5*u - 11191 = -4*k. Let q = u + 2422. Is q composite? True Let n = 33302 + -24883. Is n prime? True Suppose 3*a + 10*d - 93043 = 9*d, 0 = a - 3*d - 31001. Is a a prime number? True Is (0 - (-3)/(-4))*91755024/(-2844) a composite number? False Let t(x) = 16*x + 2. Let g be t(3). Suppose -n - g = -19. Let d = n - -65. Is d a composite number? True Suppose -4*d = 4*t - 2642368, 660598 = 55*d - 54*d + 3*t. Is d a prime number? True Suppose -x + p = 4*x - 117, -4*p = 4*x - 108. Is 8/x - (-704)/12 prime? True Suppose 0 = 3*h - 5*o + 16, 2*h - 29 = -5*o + 2. Suppose -h*g = -8 - 4. Suppose g*y = -5*f - y + 815, -652 = -4*f + 3*y. Is f prime? True Let h be (-14486)/(-8) - 2/(-8). Suppose 0 = -36*k + 109 + 107. Suppose 859 = k*m - h. Is m a composite number? True Let h = -25 - -23. Let l(s) = -265*s + 0 + 161*s + 3. Is l(h) a prime number? True Suppose 2*j + 6 = 8. Let a(o) = 2*o - 2. Let h be a(j). Suppose h = q - 298 + 47. Is q a prime number? True Suppose 58*s - 54*s - 16668 = 0. Let t = s + -2149. Is t prime? False Let t(o) be the second derivative of -31*o**5/20 + o**4/6 - 4*o**3 + 2*o**2 + o + 29. Is t(-5) a prime number? True Suppose -3*d + 23*d = 0. Suppose -8*i + 18031 + 13537 = d. Is i a composite number? True Let x(y) = 25*y**2 - 49*y + 4108. Is x(75) composite? True Let t = 4816 + -2226. Suppose 24*r = 26*r + t. Let x = 1926 + r. Is x a prime number? True Let c be (-773)/(32/48 - 35/51). Let t = -25208 + c. Is t prime? False Suppose -288849 = 116*m - 127*m. Is m composite? True Let p(h) = 211*h**3 + 35*h**2 - 77*h - 115. Is p(12) composite? False Let j(i) = -i**2 - 9*i - 16. Let v be j(-5). Is v + (7 - 65628/(-6)) a prime number? True Suppose 22*p = 17*p - i + 442292, 0 = -4*p - 4*i + 353824. Is p prime? False Let w(t) = 215*t**3 - 8*t**2 + 39*t + 1. Is w(6) a composite number? True Suppose -2*b + 2847 + 11703 = 0. S
{ "pile_set_name": "DM Mathematics" }
Calculate 84360 divided by 57. 1480 Divide 0 by 23672. 0 Divide 1418715 by 113. 12555 Calculate -1 divided by -15737. 1/15737 Calculate -224308 divided by -3. 224308/3 Divide 65256 by -4. -16314 382788 divided by 13671 28 What is -4 divided by 6664? -1/1666 Calculate 7112 divided by -3556. -2 What is -3 divided by 64877? -3/64877 Divide -2655 by -11. 2655/11 What is -3286265 divided by 657253? -5 What is -13 divided by 10942? -13/10942 Calculate -552092 divided by -138023. 4 -28272 divided by -7068 4 What is -2024 divided by 120? -253/15 Calculate 187416 divided by 4932. 38 What is 169113 divided by -169113? -1 Calculate 0 divided by -62774. 0 347450 divided by -3 -347450/3 -16848 divided by 6 -2808 Divide -853260 by 15. -56884 Divide 581502 by 1. 581502 -17980 divided by -20 899 Calculate 3 divided by -60062. -3/60062 Calculate -1731 divided by 577. -3 Calculate -36099 divided by -12033. 3 What is 11760 divided by 140? 84 What is -919 divided by -40? 919/40 29898 divided by -1 -29898 -9570 divided by -58 165 What is 6013 divided by 32? 6013/32 -9 divided by -23492 9/23492 What is 25788 divided by 2149? 12 Calculate 1991 divided by -19. -1991/19 What is -53 divided by 15723? -53/15723 What is 4309237 divided by 5? 4309237/5 What is 102 divided by -22219? -6/1307 What is -176226 divided by -3? 58742 Divide -475720 by -118930. 4 -1730305 divided by 47 -36815 What is 8390 divided by -122? -4195/61 Calculate -150191 divided by 150191. -1 What is -50880 divided by 53? -960 3085 divided by 21 3085/21 911 divided by -418 -911/418 What is 6495 divided by 2? 6495/2 Divide 4 by -102. -2/51 What is 9297 divided by 127? 9297/127 Calculate 6 divided by -17050. -3/8525 2 divided by -61683 -2/61683 3888 divided by -108 -36 Calculate -1 divided by 142641. -1/142641 Divide -311 by 2070. -311/2070 Calculate 103950 divided by -34650. -3 Calculate -96832 divided by -178. 544 Divide 835948 by -417974. -2 What is -624656 divided by -4? 156164 334367 divided by 10 334367/10 -246744 divided by 123372 -2 Divide 5 by -50151. -5/50151 Divide 15214 by -2. -7607 31245 divided by 2083 15 155476 divided by 94 1654 Divide -401 by -1609. 401/1609 94 divided by -341 -94/341 What is 5099 divided by 1? 5099 Divide -5335 by -97. 55 250720 divided by 2 125360 Calculate 791296 divided by 562. 1408 What is -7 divided by 4341? -7/4341 -6389534 divided by -7967 802 Divide 2 by -369016. -1/184508 Divide -1318960 by -4. 329740 What is 280 divided by -21? -40/3 Divide -11956 by 7. -1708 Divide 7266 by 2. 3633 What is 7196576 divided by 16? 449786 What is -22734 divided by -6? 3789 -529 divided by 2011 -529/2011 -11 divided by -6037 11/6037 Divide -4410 by 5. -882 -1 divided by 100110 -1/100110 Calculate -356136 divided by -57. 6248 Calculate 790825 divided by 5. 158165 What is 400 divided by -39? -400/39 43 divided by 22478 43/22478 119 divided by 711 119/711 Calculate -119068 divided by -412. 289 -10148 divided by 5 -10148/5 What is 1590468 divided by -22? -72294 What is 657172 divided by 4? 164293 4 divided by 3474 2/1737 13970 divided by -60 -1397/6 Divide -8584 by -4292. 2 746486 divided by 26 28711 Calculate -587850 divided by 1. -587850 -240513 divided by 4 -240513/4 What is 103648 divided by -1264? -82 Calculate -81076 divided by 6. -40538/3 Calculate -180897 divided by -3. 60299 What is -606780 divided by -1? 606780 What is 5585 divided by 106? 5585/106 What is 2 divided by 71077? 2/71077 What is 126321 divided by 3? 42107 What is -5435724 divided by -776532? 7 What is 4206972 divided by 11? 382452 Divide -434256 by -434256. 1 Calculate 293235 divided by 6. 97745/2 Divide 126960 by -42320. -3 Calculate 471198 divided by 273. 1726 Divide 314721 by -28611. -11 Calculate 41 divided by -147. -41/147 What is -10 divided by -200099? 10/200099 What is 4 divided by -666? -2/333 Divide -347072 by 86768. -4 Divide -2 by 1003. -2/1003 Calculate -259 divided by 228. -259/228 What is -17078 divided by -3? 17078/3 What is 46420 divided by -220? -211 What is -6 divided by -9143? 6/9143 1818990 divided by -202110 -9 What is -3 divided by -155532? 1/51844 What is -4 divided by 331415? -4/331415 10684 divided by -2671 -4 Divide 914560 by -5. -182912 Calculate 4546 divided by 202. 2273/101 76765 divided by 7 76765/7 30071 divided by -63 -30071/63 Divide 255348 by 1476. 173 What is 437220 divided by 347? 1260 Calculate 1 divided by 424720. 1/424720 -24574 divided by -3 24574/3 What is -570 divided by -60? 19/2 Divide 11 by -20727. -11/20727 -347733 divided by -6561 53 What is -316386 divided by -9? 35154 Divide -645696 by 1416. -456 Divide -652 by -62. 326/31 What is 1083831 divided by -10731? -101 What is 849592 divided by 136? 6247 Calculate 46310 divided by 4631. 10 What is -583168 divided by -145792? 4 -13328 divided by 5 -13328/5 Divide 139264 by 2. 69632 Divide -19 by 1379. -19/1379 -190 divided by 2237 -190/2237 Calculate -3023756 divided by 34. -88934 Divide -4176753 by -6. 1392251/2 Divide -67126 by 1. -67126 Divide 125069 by -119. -1051 Calculate 17 divided by -16711. -1/983 -144809 divided by 5 -144809/5 Divide -3982 by -11. 362 8312 divided by 1 8312 Divide 566 by 1712. 283/856 Calculate 4 divided by 296519. 4/296519 -102 divided by 35 -102/35 Divide -74 by -82. 37/41 Divide 8 by 9775. 8/9775 35392 divided by -4 -8848 -11561 divided by 435 -11561/435 Calculate 9788 divided by 2447. 4 318290 divided by 10 31829 Calculate 494698 divided by 4. 247349/2 Calculate 793407 divided by -51. -15557 Calculate 400360 divided by -100090. -4 Divide -339983 by 7. -48569 What is 1475345 divided by 17357? 85 What is 70969 divided by -3? -70969/3 2208297 divided by 13 169869 What is 241408 divided by -60352? -4 6 divided by 44542 3/22271 5769 divided by -21 -1923/7 Calculate 5 divided by -78454. -5/78454 Divide 4043 by 2. 4043/2 What is 623300 divided by -155825? -4 43942 divided by 21971 2 Divide -183912 by 12. -15326 Calculate -107196 divided by -26799. 4 102667 divided by -2 -102667/2 -382953 divided by 3579 -107 5050 divided by -1 -5050 Divide -26676 by -6. 4446 Divide -28042 by 6. -14021/3 Divide -1178 by -29. 1178/29 What is 17 divided by 1457? 17/1457 -46693 divided by -46693 1 Divide 41454 by -1974. -21 Divide 2338941 by 3. 779647 -13 divided by 134 -13/134 -172656 divided by -144 1199 Calculate -2948 divided by 70. -1474/35 -40079 divided by -13 3083 Divide -30305 by 1595. -19 Calculate 2855556 divided by 21633. 132 Calculate 78592 divided by -1. -78592 Divide 1345698 by 6. 224283 Divide 1380700 by -20. -69035 Divide -721236 by 120206. -6 What is 4016 divided by -56? -502/7 What is 129564 divided by 1098? 118 Calculate 22494 divided by 69. 326 Divide -3232152 by -12826. 252 Calculate -5577 divided by 14. -5577/14 5 divided by 12069 5/12069 What is -9702 divided by 3? -3234 -631 divided by -1317 631/1317 2 divided by -14103 -2/14103 What is -79465 divided by -15893? 5 Calculate -56 divided by 769. -56/769 Calculate -28890 divided by 18. -1605 Calculate 431769 divided by 143923. 3 Calculate 19681 divided by 23. 19681/23 Divide -26668 by 1. -26668 7632 divided by 106 72 Calculate -838684 divided by -29953. 28 What is 982288 divided by -122786? -8 What is 1065900 divided by 5610? 190 Calculate 81345 divided by -255. -319 Divide 0 by 13162. 0 What is 2 divided by 93368? 1/46684 5771 divided by -430 -5771/430 What is 15170 divided by 37? 410 Calculate 23 divided by -70911. -23/70911 Calculate -22 divided by 2390. -11/1195 Calculate 53 divided by 7402. 53/7402 83496 divided by -5964 -14 Divide -6247 by -17. 6247/17 -10408 divided by -19 10408/19 Calculate 944 divided by -118. -8 What is -2955414 divided by -6? 492569 Divide 118826 by 12. 59413/6 1724795 divided by 5 344959 Calculate -16150 divided by -69. 16150/69 Calculate -11980 divided by 20. -599 Calculate 4342 divided by -623. -4342/623 -57861 divided by -3 19287 Calculate 17 divided by 7976. 17/7976 Divide 2197749 by 732583. 3 Calculate 194580 divided by 38916. 5 Calculate -93110 divided by 18622. -5 What is -3 divided by 78450? -1/26150 Calculate 3 divided by 6340. 3/6340 Divide 16290 by -5. -3258 What is 18360 divided by 8? 2295 Calculate 114285 divided by 38095. 3 Divide 5 by 616299. 5/616299 Divide -13427656 by 4. -3356914 Calculate 0 di
{ "pile_set_name": "DM Mathematics" }
smallest value in -27194, 3, 2/899, 1/3? 1/3 Which is the smallest value? (a) 0 (b) 1732 (c) 4451 a Which is the third smallest value? (a) 1/3 (b) -194086 (c) -1 (d) 4 (e) 0.3 e Which is the third biggest value? (a) -369 (b) -2/3 (c) -2 (d) -11/8 (e) 1/3 (f) -2/259 b What is the biggest value in -2/45, 770, 20.12, -4? 770 Which is the smallest value? (a) -3272 (b) -4 (c) -54399 c What is the fourth smallest value in -2, 4, -0.5, 8.43, 0.1, 995? 4 Which is the second smallest value? (a) 2/17 (b) 95 (c) -203827 (d) -3 (e) 1/5 d Which is the second biggest value? (a) 1/4 (b) -115 (c) 22 (d) 2/3 (e) -13 d What is the fourth smallest value in -31, -139, 1, 4/415? 1 What is the fourth smallest value in 0.01, 3, -7, -2, 156? 3 Which is the sixth smallest value? (a) -2143 (b) 3 (c) -4 (d) 1 (e) -183 (f) 0.4 b Which is the second biggest value? (a) -0.3 (b) -5 (c) -1/66 (d) -109910 a Which is the third smallest value? (a) -242 (b) 3/4 (c) -66 (d) -1/7 d What is the second smallest value in -0.3, -2/5, 0.5, 22/5, 663300? -0.3 What is the sixth smallest value in 1/3, 2/5, 1, -13, 12/67, -33? 1 What is the second biggest value in -71, -0.2, 2/3, -3/3091? -3/3091 Which is the third biggest value? (a) 2/5 (b) -5 (c) 2 (d) -176 (e) -76/3 (f) -0.05 (g) -3 f What is the fourth smallest value in -34, -4, -0.2, 0.01851? 0.01851 What is the biggest value in 2/5, 0.03, 10.8, -0.03, -32, -11? 10.8 What is the third smallest value in 27, 357.5778, -2? 357.5778 What is the second smallest value in 0.45, -13, -7695, 2? -13 Which is the second biggest value? (a) 0 (b) -244 (c) -5/4 (d) -2 (e) 33 (f) -2/13 (g) 1 g What is the fifth smallest value in 3, 1.6, 902, -0.31, -0.1? 902 What is the second smallest value in 2/181, -344, -0.04, -1, -0.5, 5? -1 Which is the third smallest value? (a) -3.431 (b) 0.4 (c) 1680 c What is the seventh smallest value in 1/8, -3/2, -5, -1, -3/155, 10/17, -3/4? 10/17 What is the fifth smallest value in -2/11, -0.13, -5, -295, 3, -2/5? -0.13 Which is the smallest value? (a) 1306.5 (b) 3 (c) -30/19 c Which is the third smallest value? (a) -2/7 (b) -4 (c) 3 (d) -43076.8 (e) 10/3 a What is the fifth biggest value in -923, -1/4, -222, 4, 1/5? -923 Which is the third smallest value? (a) 56 (b) 18 (c) -3 (d) 0 (e) -2 (f) -2/9 f Which is the seventh smallest value? (a) 1 (b) 1/91 (c) 7 (d) -0.2 (e) -1 (f) 3/80 (g) -0.4 c Which is the second smallest value? (a) 0.2 (b) -5668308 (c) -1 c What is the third biggest value in 1/10, -1/2, -299, 4/3, 5, -2/7? 1/10 What is the fourth smallest value in -1, 0, 4/55, 456, -5? 4/55 Which is the second smallest value? (a) -4/7 (b) 1 (c) 1/3 (d) 4317 (e) -2/3 a Which is the fifth biggest value? (a) -4/7 (b) 1 (c) 2/3 (d) 4100 (e) -46 e What is the sixth smallest value in 0, -4048, -1/4, 4/3, -0.05, -4? 4/3 What is the third smallest value in 3, 0.15, -154/9, 20? 3 Which is the fourth biggest value? (a) -326 (b) -0.59 (c) 83 (d) -3 a What is the second smallest value in 2/3, 5/2, -1/2, 0.01154, 85, -3/13? -3/13 What is the second biggest value in -0.01, 2/3, 1, -1, -2/8797, -1/6, -16/3? 2/3 What is the third smallest value in -50762, -1/4, 6? 6 What is the smallest value in -73, -2/9, -339/4, -1? -339/4 What is the fourth biggest value in 255, 43, 156, -1/2, 3? 3 Which is the fifth smallest value? (a) 13 (b) -111 (c) -38 (d) 2/37 (e) -2/7 a What is the fourth biggest value in 2, -0.01, -5, -1, -3, -27155, 0.5? -1 What is the fifth smallest value in -0.3, -18, -3, -1, -1080? -0.3 What is the second biggest value in 6/7, -1/8, 2, -0.5, 0.8, -10, -19/17? 6/7 Which is the fourth smallest value? (a) -5 (b) -1.1 (c) 1102 (d) 3 (e) -3/5 (f) -1/9 f Which is the biggest value? (a) 4 (b) -1/7 (c) -4 (d) 2981 (e) 2.4 (f) -2 d Which is the fourth smallest value? (a) 60 (b) 3.5 (c) -4 (d) 0.3 (e) -0.063 (f) -0.1 d Which is the fourth biggest value? (a) 2 (b) -146 (c) 70 (d) 6 b What is the fifth biggest value in 1, 0.007, -125, -8, 1/10, 1/3? -8 What is the third biggest value in 2, -2/11, -1, -25.748? -1 What is the biggest value in 14, 1793.3, 2.26? 1793.3 What is the biggest value in 5, -4, -1/3, -73216? 5 Which is the third biggest value? (a) 12028/15 (b) 4 (c) 3 c Which is the second biggest value? (a) 4 (b) 10670 (c) -254 a Which is the fourth biggest value? (a) -1/3 (b) 1 (c) 1242 (d) 0 (e) 2 (f) -121 d Which is the fifth smallest value? (a) 0.4 (b) -0.4 (c) 0.5 (d) -0.01 (e) -31 (f) 35/16 c Which is the third smallest value? (a) -1650 (b) 2 (c) -8/21 (d) -4 (e) 0.02 c Which is the second smallest value? (a) 3139 (b) 1 (c) -7/81 (d) 1.81 b What is the third smallest value in -1, 311, 131244? 131244 What is the fourth smallest value in 16374216, 1, -0.5, -4? 16374216 Which is the second biggest value? (a) -2/5 (b) -16490853 (c) 49 a What is the second smallest value in 1, 86, 0.4, 5604961? 1 What is the third smallest value in 57/7, -2/13, 3/5, -4? 3/5 What is the second biggest value in -5, 7, 0.072, -2, -1856? 0.072 Which is the smallest value? (a) 5 (b) 0.486 (c) 20/167 (d) 1 (e) 3 (f) -4/7 (g) -5 g Which is the second smallest value? (a) 0.2 (b) -5 (c) 237 (d) -2/478219 d What is the biggest value in -7, 11321, 160? 11321 What is the fifth smallest value in -0.3, -2/291, -0.1, 1/5, 2/9, -7.11? 1/5 Which is the fourth biggest value? (a) -10 (b) -1 (c) -2/9 (d) 6 (e) 0.1 (f) 58 c Which is the third biggest value? (a) -4 (b) 3.2 (c) 24527 (d) -1 (e) -1/2 e What is the biggest value in -40, 0.12, -4, -423? 0.12 What is the second smallest value in -0.3, 3.8, 1.5, 75, 1/7? 1/7 Which is the second smallest value? (a) 0.3 (b) -1/1855 (c) 169 (d) -0.2 (e) 13/7 b Which is the third biggest value? (a) 0.15 (b) 3 (c) -4 (d) -0.3 (e) 6 (f) -5 (g) -526 a Which is the second smallest value? (a) 4823/2 (b) -126 (c) -3/17 c What is the fifth smallest value in 4, 1, -4, -3564, -3.96? 4 Which is the third smallest value? (a) 5 (b) 4 (c) 117101/6 (d) 1/5 (e) 2/5 b What is the second smallest value in 9, -1, 0.8, -0.27, 4, -1/6? -0.27 Which is the second smallest value? (a) -3/10 (b) -434 (c) 452 a Which is the third biggest value? (a) -74/7 (b) 2013 (c) 19/4 a Which is the smallest value? (a) 27 (b) -8942 (c) 5 (d) 8/29 b Which is the fifth smallest value? (a) 4 (b) 1/2 (c) 13 (d) 15455 (e) -1/25 (f) -5/3 c What is the third smallest value in -0.7, 0.2, 5, -145, 21.52, -1/2, 5/4? -1/2 What is the second biggest value in -0.1, 2, -2, -292724, -5/2, 0.3, -5? 0.3 Which is the third biggest value? (a) -0.3 (b) 7 (c) -3 (d) -5.41 (e) -0.06 a Which is the third biggest value? (a) -0.1 (b) 0.263 (c) 0 (d) 0.4 (e) -4 (f) 4 (g) 15 d What is the second smallest value in 0.3, 6, 4/51, -1, -1/10, 36? -1/10 What is the second biggest value in 27, 3, -1/10, 8, -1/8, 0, 1? 8 What is the second smallest value in -10, 28746, 0.2? 0.2 Which is the smallest value? (a) -3/76 (b) -2/207 (c) 0.5 (d) 10 a What is the seventh smallest value in -61, 4, -4, 0.06, 3, -11/28, -0.1? 4 Which is the third biggest value? (a) -0.07 (b) -28100 (c) 78 b What is the second smallest value in 2/3, -83677, 3, -13, -2, -0.4? -13 Which is the third biggest value? (a) 1/38 (b) -1 (c) 4/9 (d) 1/2 (e) 2 (f) 6 (g) -1/2 d What is the third biggest value in 0.1, -2/11, 21, 2/255, 0.2, -9? 0.1 What is the third smallest value in 5, 2/24283, -10? 5 Which is the fourth biggest value? (a) -4 (b) -17 (c) -42/19 (d) -5/8 (e) 4 (f) -0.3 c What is the fifth biggest value in 12, -1/11, 1.4, 0, -185/2? -185/2 What is the smallest value in 4/1797, -1443, -7? -1443 Which is the second biggest value? (a) -5 (b) 4 (c) -17 (d) -79 (e) -2/11 (f) 0.01 (g) -1/4 f What is the fifth smallest value in 0.3, -3, 2/13, -6/7, 56, -1.1, -0.6? 2/13 Which is the biggest value? (a) 16/5 (b) -1 (c) 0.22 (d) -2.732 a What is the biggest value in 4, -33.725, -2/7? 4 Which is the biggest value? (a) -4/7 (b) 332 (c) 12/13 (d) -2.49 b Which is the third biggest value? (a) 16671 (b) 961 (c) -4 c Which is the third biggest value? (a) 0.3 (b) -12 (c) -10
{ "pile_set_name": "DM Mathematics" }
What is the remainder when 1251862 is divided by 58? 48 Calculate the remainder when 12353 is divided by 37. 32 What is the remainder when 30334 is divided by 919? 7 Calculate the remainder when 3329 is divided by 81. 8 Calculate the remainder when 16383 is divided by 38. 5 What is the remainder when 24940 is divided by 84? 76 Calculate the remainder when 60248 is divided by 10. 8 What is the remainder when 2471 is divided by 408? 23 Calculate the remainder when 3459 is divided by 380. 39 What is the remainder when 891835 is divided by 153? 151 Calculate the remainder when 9303 is divided by 227. 223 Calculate the remainder when 8859 is divided by 88. 59 What is the remainder when 742236 is divided by 14? 12 What is the remainder when 73068 is divided by 339? 183 What is the remainder when 755953 is divided by 785? 783 What is the remainder when 4231 is divided by 506? 183 What is the remainder when 1482788 is divided by 744? 740 What is the remainder when 17582 is divided by 2723? 1244 What is the remainder when 11322 is divided by 5650? 22 Calculate the remainder when 32409 is divided by 438. 435 Calculate the remainder when 32330 is divided by 412. 194 What is the remainder when 37 is divided by 12? 1 Calculate the remainder when 3100 is divided by 183. 172 Calculate the remainder when 8951 is divided by 1105. 111 Calculate the remainder when 348443 is divided by 16. 11 What is the remainder when 303011 is divided by 3? 2 What is the remainder when 77601 is divided by 1035? 1011 Calculate the remainder when 15946 is divided by 1816. 1418 What is the remainder when 45055 is divided by 53? 5 What is the remainder when 1701 is divided by 1694? 7 Calculate the remainder when 1993 is divided by 731. 531 Calculate the remainder when 4138 is divided by 1515. 1108 Calculate the remainder when 12720 is divided by 148. 140 What is the remainder when 41611 is divided by 1342? 9 Calculate the remainder when 14481 is divided by 2892. 21 What is the remainder when 970 is divided by 46? 4 Calculate the remainder when 12601 is divided by 631. 612 Calculate the remainder when 6532 is divided by 261. 7 Calculate the remainder when 889283 is divided by 329. 325 What is the remainder when 7137 is divided by 1779? 21 Calculate the remainder when 1274 is divided by 39. 26 Calculate the remainder when 569657 is divided by 28. 25 What is the remainder when 144022 is divided by 381? 4 Calculate the remainder when 2370579 is divided by 254. 251 What is the remainder when 21259 is divided by 253? 7 What is the remainder when 11530 is divided by 1279? 19 Calculate the remainder when 39968 is divided by 146. 110 What is the remainder when 32453 is divided by 461? 183 Calculate the remainder when 3975 is divided by 434. 69 Calculate the remainder when 9684 is divided by 8691. 993 Calculate the remainder when 160 is divided by 152. 8 What is the remainder when 15390 is divided by 312? 102 Calculate the remainder when 1765757 is divided by 1240. 1237 What is the remainder when 1138215 is divided by 34? 31 What is the remainder when 41157 is divided by 46? 33 What is the remainder when 43010 is divided by 1870? 0 What is the remainder when 31901 is divided by 3772? 1725 What is the remainder when 45759 is divided by 323? 216 What is the remainder when 29685 is divided by 157? 12 What is the remainder when 2680 is divided by 253? 150 Calculate the remainder when 641752 is divided by 573. 565 Calculate the remainder when 202628 is divided by 285. 278 What is the remainder when 7592 is divided by 155? 152 What is the remainder when 589 is divided by 260? 69 What is the remainder when 2112 is divided by 541? 489 What is the remainder when 1545 is divided by 306? 15 Calculate the remainder when 6774 is divided by 1224. 654 What is the remainder when 1117 is divided by 1014? 103 Calculate the remainder when 25602 is divided by 6083. 1270 Calculate the remainder when 48090 is divided by 1118. 16 What is the remainder when 14764 is divided by 4913? 25 What is the remainder when 589 is divided by 212? 165 Calculate the remainder when 5608524 is divided by 77. 75 Calculate the remainder when 86609 is divided by 8. 1 What is the remainder when 94109 is divided by 692? 689 What is the remainder when 74118 is divided by 99? 66 Calculate the remainder when 2784947 is divided by 1526. 1523 Calculate the remainder when 4425 is divided by 214. 145 Calculate the remainder when 334 is divided by 2. 0 Calculate the remainder when 4243 is divided by 452. 175 What is the remainder when 65721 is divided by 13143? 6 Calculate the remainder when 1301 is divided by 29. 25 Calculate the remainder when 6850 is divided by 63. 46 What is the remainder when 48328 is divided by 42? 28 What is the remainder when 102984 is divided by 1584? 24 What is the remainder when 41158 is divided by 219? 205 Calculate the remainder when 7319 is divided by 487. 14 Calculate the remainder when 376 is divided by 178. 20 What is the remainder when 11420 is divided by 317? 8 Calculate the remainder when 38818 is divided by 55. 43 What is the remainder when 53093 is divided by 18? 11 What is the remainder when 813909 is divided by 64? 21 What is the remainder when 359 is divided by 213? 146 Calculate the remainder when 15288 is divided by 4984. 336 Calculate the remainder when 132 is divided by 86. 46 Calculate the remainder when 2066310 is divided by 1493. 1491 What is the remainder when 3649 is divided by 44? 41 What is the remainder when 54076 is divided by 702? 22 Calculate the remainder when 38926 is divided by 16. 14 What is the remainder when 33459 is divided by 11? 8 What is the remainder when 11769 is divided by 214? 213 Calculate the remainder when 80861 is divided by 13471. 35 Calculate the remainder when 195443 is divided by 18. 17 Calculate the remainder when 7027 is divided by 292. 19 What is the remainder when 2177 is divided by 84? 77 Calculate the remainder when 86707 is divided by 487. 21 Calculate the remainder when 867 is divided by 22. 9 What is the remainder when 5692 is divided by 931? 106 What is the remainder when 4777 is divided by 165? 157 What is the remainder when 17501 is divided by 3274? 1131 What is the remainder when 2828 is divided by 100? 28 What is the remainder when 24493 is divided by 331? 330 Calculate the remainder when 6146 is divided by 62. 8 Calculate the remainder when 9708 is divided by 2361. 264 What is the remainder when 9735 is divided by 811? 3 Calculate the remainder when 808628 is divided by 141. 134 What is the remainder when 153066 is divided by 238? 32 Calculate the remainder when 1006 is divided by 107. 43 Calculate the remainder when 375909 is divided by 125298. 15 Calculate the remainder when 49985 is divided by 259. 257 Calculate the remainder when 5783 is divided by 362. 353 Calculate the remainder when 20549 is divided by 269. 105 Calculate the remainder when 58061 is divided by 14513. 9 Calculate the remainder when 16213 is divided by 953. 12 What is the remainder when 12987 is divided by 1332? 999 Calculate the remainder when 4603 is divided by 459. 13 What is the remainder when 2023 is divided by 455? 203 What is the remainder when 31106 is divided by 622? 6 What is the remainder when 587 is divided by 187? 26 Calculate the remainder when 8795 is divided by 141. 53 What is the remainder when 3964 is divided by 1082? 718 What is the remainder when 13175 is divided by 13112? 63 What is the remainder when 53113 is divided by 121? 115 Calculate the remainder when 5374 is divided by 2641. 92 Calculate the remainder when 34961 is divided by 94. 87 Calculate the remainder when 4450 is divided by 463. 283 Calculate the remainder when 822359 is divided by 178. 177 What is the remainder when 68825 is divided by 910? 575 Calculate the remainder when 2146 is divided by 704. 34 Calculate the remainder when 207 is divided by 15. 12 Calculate the remainder when 1740 is divided by 67. 65 What is the remainder when 2429 is divided by 461? 124 Calculate the remainder when 1278 is divided by 26. 4 Calculate the remainder when 694888 is divided by 409. 406 What is the remainder when 4222 is divided by 992? 254 What is the remainder when 5578 is divided by 381? 244 Calculate
{ "pile_set_name": "DM Mathematics" }
3/160834, -545, -3, -1/2? -545 What is the biggest value in -128, 4, -85612/9? 4 What is the fifth smallest value in -16, -2/3, 5, 17, 2.08? 17 Which is the second smallest value? (a) -50 (b) 0.04 (c) 11.86902 b Which is the smallest value? (a) -45 (b) -3/19490 (c) -0.1 a What is the fourth smallest value in -2, -5, 1, 57, -2/45, -13? -2/45 Which is the biggest value? (a) -4 (b) 3/5 (c) 0 (d) -5 (e) 7155 e What is the third biggest value in 5, -103415, 1/7, 0.2, 8? 0.2 Which is the fifth biggest value? (a) 0.758 (b) 0 (c) 4/5 (d) -2 (e) -0.2 (f) 14 (g) 0.1 b Which is the fifth smallest value? (a) 3/2 (b) -14.7 (c) -0.06 (d) -14 (e) 2 (f) 0.2 a What is the third smallest value in -1, -3, -40, 13, 5.87, 1.8? -1 Which is the fourth biggest value? (a) -2/5 (b) -62.1 (c) -0.3 (d) -2/3 (e) -12 (f) 3 (g) 2/35 a Which is the second smallest value? (a) -0.02648 (b) 1 (c) -203 (d) 10 a What is the second smallest value in -0.3, -6, 4021012? -0.3 What is the fourth smallest value in -3/5, 0.3, -0.04939, -3, 0, -0.2, -0.04? -0.04939 Which is the second biggest value? (a) -3/25 (b) 471031 (c) -0.3 (d) -5 a What is the second smallest value in -372176/15, 5, 0? 0 What is the third biggest value in 3/13, -15833, 0, -0.3? -0.3 Which is the fourth biggest value? (a) -3 (b) 0.7 (c) -2718 (d) 5 (e) 0.5 (f) -1/30 (g) -5 f Which is the second smallest value? (a) -2/7 (b) 8.82 (c) 47 (d) -2 (e) 2/5 a What is the sixth biggest value in 747, -3/5, 0.2, -119/10, 3, -2/3? -119/10 Which is the fourth smallest value? (a) -18.1 (b) 11 (c) 1 (d) 37 (e) 5 (f) 0.3 e Which is the second smallest value? (a) -4 (b) -4/41 (c) -1/5 (d) 623 (e) -0.06 c What is the second smallest value in 0.05, -1/2, 1/63, 0.1, -214, 0.5, 3/7? -1/2 What is the third smallest value in -3, 0.2, -0.1, -590, -2/9, 0.4? -2/9 Which is the third biggest value? (a) 0.035 (b) 319/2 (c) -0.4 (d) 0.06 (e) -0.156 a What is the fifth smallest value in 0.06, -4, 0.4, 8/5, 865, -38? 8/5 Which is the biggest value? (a) 120 (b) 419 (c) -3 (d) 3/2 b What is the smallest value in -2/3, -24, 0.221, -8/5? -24 What is the biggest value in -2/19, 5, 3/5, 7, -1062? 7 Which is the fourth biggest value? (a) -2 (b) -0.5 (c) -24 (d) 10.6289 c What is the sixth smallest value in -2/45, -4, 168, -2/3, 2/11, 3, 1/12? 3 What is the smallest value in -0.114244, 1, 0, -1/5? -1/5 What is the smallest value in 116, 3710, -0.2, -7/3, -7? -7 What is the fourth smallest value in -9.7, 0.2, 0, -15, -2, 1/4? 0 Which is the fourth biggest value? (a) -15431/4 (b) -2 (c) -0.037 (d) 1/2 a What is the seventh smallest value in -0.5, -0.17, -0.1, 9, -0.2, -10/113, -2/21? 9 What is the third biggest value in -0.03, -2.89, -0.12, -3, 1/30, 2? -0.03 What is the fourth smallest value in -0.5, 4.8, 2, -334, -1.3, -2? -0.5 Which is the fourth smallest value? (a) 0.2 (b) -1/36 (c) -1/185 (d) 312 d What is the second smallest value in -0.1, 8, -411? -0.1 Which is the second biggest value? (a) 0.9 (b) 2/3 (c) 2/609 (d) 4 (e) -1 (f) 6 d What is the smallest value in 10878, 8, -1/8? -1/8 Which is the second smallest value? (a) -0.1 (b) 1 (c) -267058 a What is the third biggest value in 4/5, -5.14, -2216/9? -2216/9 What is the fifth smallest value in -974.2, 4/5, -5, -1/3, 2/3? 4/5 Which is the fifth smallest value? (a) -0.4 (b) 2 (c) 5 (d) -1.10476 (e) 0.12 (f) -4 (g) 1/4 g What is the biggest value in 2, 2/141, 0.7, 32, -320? 32 Which is the third smallest value? (a) -3 (b) 115/32 (c) -5 (d) -1/7 (e) 8/185 d What is the fourth smallest value in 290, 59, 0.22, 16? 290 What is the second biggest value in -0.05, -1/12, -35, -146, -1? -1/12 What is the fifth biggest value in -96, 9, -0.5, -0.3, -21, 1/8? -21 Which is the fifth smallest value? (a) -4431 (b) 59.5 (c) 0.2 (d) -14 (e) -1 b Which is the second smallest value? (a) 111.4 (b) -28 (c) 8 c Which is the third smallest value? (a) 0.028 (b) 3 (c) -6 (d) 13/45 (e) -4 a What is the third smallest value in 0.13, -18.93, -2/15, 152, -4, -0.2? -0.2 Which is the third smallest value? (a) 358 (b) -2/1283 (c) 0.2 (d) 0.002 c Which is the sixth smallest value? (a) -21.89 (b) -0.1 (c) -0.2 (d) -5 (e) -3/19 (f) 0.3 f Which is the third smallest value? (a) 0.43 (b) -0.4 (c) 0.3 (d) 1.9 (e) -5.3 c Which is the fourth smallest value? (a) -25042 (b) -2/15 (c) -0.4 (d) 8.6 (e) 2 e Which is the third biggest value? (a) 5 (b) 7 (c) 0.04 (d) -12.94 (e) 0.4 e What is the biggest value in -6/7, -7/3, -1/8, 2/17, -280, 0.2, 4? 4 What is the second biggest value in -4/7, -5, 0.02, 51, 3, -1/5, 25? 25 Which is the fourth smallest value? (a) 4 (b) 5 (c) 318.4 (d) -4 (e) -0.3 (f) 0 (g) -2 f Which is the second biggest value? (a) -307 (b) -8.8 (c) 1 (d) -162 b Which is the biggest value? (a) 1963 (b) -104 (c) -3 (d) -17 (e) -0.05 a What is the fifth smallest value in -2, 1/1299, -1, -0.6, 3, 2/13, 4? 2/13 Which is the biggest value? (a) 1/20 (b) 2/117 (c) 180 (d) -31.3 (e) -0.5 c What is the fourth biggest value in -26.99, -5, -2, 5, 0.4, -4? -4 Which is the smallest value? (a) 55 (b) -26296/89 (c) 0 b What is the second smallest value in -40.93, -53, 0.2? -40.93 What is the second biggest value in -5, 96567.5, 0.5? 0.5 Which is the biggest value? (a) -5 (b) -12 (c) 8.31368 c Which is the second smallest value? (a) 0.0725 (b) 2 (c) -2/13 (d) 0.06 (e) -13 (f) 2/15 (g) 0 c Which is the fifth biggest value? (a) -2/7 (b) 5 (c) -3 (d) -4 (e) -0.2 (f) 221 (g) 135 a What is the third biggest value in 0.067, 34, -25/3, -3, 5, 2/7? 2/7 Which is the second smallest value? (a) 338 (b) 7138 (c) -0.2 a Which is the fourth biggest value? (a) 7 (b) 0.129 (c) -0.6 (d) -3/52 (e) 2/5 d What is the fifth smallest value in -1851/5, -2, -22, 0.4, -4? 0.4 Which is the fourth biggest value? (a) 5/17 (b) -1/81 (c) -3 (d) -4.48 d Which is the second biggest value? (a) -2 (b) 4 (c) -2/10309 (d) 81/2 (e) 5 e Which is the sixth smallest value? (a) 0.02 (b) 4/3 (c) 5 (d) -192 (e) -4 (f) 9 (g) -0.1 c Which is the fourth biggest value? (a) -1721 (b) 0.5 (c) -0.2 (d) -43 a Which is the second smallest value? (a) -3 (b) -3187 (c) -1 (d) 5301 (e) 3 (f) -4 f Which is the fourth smallest value? (a) 0.2 (b) 5411289 (c) 5 (d) 3 b Which is the third smallest value? (a) -6 (b) 0.23 (c) 20 (d) -3/5 (e) 0.4 b What is the second biggest value in 3, 0.2, 16, -29.7, -0.1? 3 What is the biggest value in 221/1467, 2/29, 2? 2 Which is the second smallest value? (a) -0.1 (b) -1.954 (c) 34 a What is the biggest value in 668, 8/49, -30? 668 What is the third smallest value in 135, 1, -325? 135 Which is the fifth biggest value? (a) -116 (b) -6 (c) -4 (d) -1247 (e) 1.3 d What is the second smallest value in -2/91119, -0.4, 7, 2, -4? -0.4 What is the smallest value in 148.9, 4, 0.4, -0.1, 1/3? -0.1 Which is the third biggest value? (a) -0.3 (b) -1/4 (c) 1 (d) -0.1 (e) -5 (f) -0.13741 (g) -66/7 f Which is the third smallest value? (a) -0.1 (b) -16 (c) 0.09 (d) 93.86 c Which is the third smallest value? (a) -9 (b) -1 (c) 0.10761 c Which is the third smallest value? (a) -41404.6 (b) -0.5 (c) 718 c What is the fourth biggest value in -6/31, -1/2, 2/9, 595, -0.6? -1/2 Which is the second biggest value? (a) -2 (b) 3/8 (c) 0.4 (d) 6/113 (e) 0.3 (f) 11.9 c Which is the sixth biggest value? (a) -1585 (b) 2/5 (c) 0.5 (d) 3 (e) 5 (f) 4 (g) -17.7 g Which is the fourth biggest value? (a) -3/5 (b) 1/4 (c) 10 (d) 1/6 (e) 0.02 (f) -3/4 (g) 0.01 e What is the fourth biggest value in 1/33, -0.02, -2/383, -3, 6, 1/10? -2/383 Which is the smallest value? (a) 2 (b) 4/19 (c) 16713/5 b Which is the second smallest value? (a) 0.01 (b) -47 (c) -17172 b Which is the fourth biggest value? (a) -4 (b) 0.3 (c) -1/6 (d) -5/4 (e) -2 (f) -2/817 (g) -0.07 c Which is the third biggest value? (a) 2752 (b) 211 (c) -4 (d) -2/9 (e) -17 (f) 0 (g) -0.5 f What is the second biggest value in -3838/7, -7, 17.8? -7 Which is the second smallest value? (a) -0.2 (b) 4 (c) 28/9 (d) 9 (e) -1/4 (f) 3 (g) -1041 e Which is the fifth sma
{ "pile_set_name": "DM Mathematics" }
re the prime factors of 154204820? 2, 5, 7, 11, 9103 What are the prime factors of 116162838? 2, 3, 11, 107, 5483 List the prime factors of 3049699350. 2, 3, 5, 20331329 List the prime factors of 3364447164. 2, 3, 13, 83, 197, 1319 List the prime factors of 1659851520. 2, 3, 5, 313, 1381 List the prime factors of 1749773973. 3, 19, 30697789 What are the prime factors of 1161677862? 2, 3, 7170851 List the prime factors of 1699522086. 2, 3, 1129, 250889 List the prime factors of 929302082. 2, 464651041 What are the prime factors of 37236533? 37236533 List the prime factors of 83089340. 2, 5, 23, 180629 List the prime factors of 331788975. 3, 5, 7, 631979 What are the prime factors of 34208931? 3, 11402977 What are the prime factors of 37488733? 37, 43, 23563 What are the prime factors of 1709097667? 1709097667 List the prime factors of 623365756. 2, 13, 19, 263, 2399 List the prime factors of 1563857879. 1563857879 List the prime factors of 1358160416. 2, 79, 107, 5021 List the prime factors of 592740390. 2, 3, 5, 11, 1796183 List the prime factors of 1127025127. 2659, 423853 What are the prime factors of 590252839? 11, 191, 280939 What are the prime factors of 125409705? 3, 5, 859, 9733 List the prime factors of 22368623. 22368623 What are the prime factors of 3269814? 2, 3, 17, 32057 What are the prime factors of 1037200652? 2, 19, 223, 3221 List the prime factors of 41488635. 3, 5, 569, 4861 What are the prime factors of 214641695? 5, 42928339 What are the prime factors of 43258791? 3, 23, 313, 2003 What are the prime factors of 20575434? 2, 3, 11, 311749 List the prime factors of 28500021. 3, 11, 479, 601 List the prime factors of 1691037411. 3, 7, 19, 4238189 List the prime factors of 1185665761. 7, 169380823 What are the prime factors of 59906869? 11, 43, 126653 What are the prime factors of 1304605160? 2, 5, 17, 1918537 What are the prime factors of 350739572? 2, 29, 3023617 List the prime factors of 253340494. 2, 11, 17, 31, 21851 List the prime factors of 1632221484. 2, 3, 136018457 List the prime factors of 857994672. 2, 3, 71, 271, 929 What are the prime factors of 100770507? 3, 3732241 What are the prime factors of 50323497? 3, 7, 29, 82633 List the prime factors of 137246793. 3, 139, 283, 1163 List the prime factors of 89001602. 2, 89, 500009 What are the prime factors of 6666932521? 151, 1259, 35069 What are the prime factors of 472231436? 2, 419, 281761 What are the prime factors of 174303020? 2, 5, 8715151 List the prime factors of 431684595. 3, 5, 1283, 7477 List the prime factors of 1598203339. 1598203339 List the prime factors of 2633479440. 2, 3, 5, 37, 296563 List the prime factors of 3869393165. 5, 11, 59, 1192417 What are the prime factors of 1865085430? 2, 5, 13, 14346811 What are the prime factors of 24330483? 3, 523, 1723 List the prime factors of 78024677. 163, 478679 List the prime factors of 5685321. 3, 431, 4397 List the prime factors of 189263709. 3, 259621 List the prime factors of 19982861. 109, 183329 What are the prime factors of 83246581? 11, 19, 43, 59, 157 What are the prime factors of 537263113? 43, 1531, 8161 List the prime factors of 35248907. 839, 42013 List the prime factors of 552559704. 2, 3, 17, 89, 15217 What are the prime factors of 46344262? 2, 29, 61, 13099 What are the prime factors of 278117999? 79, 3520481 List the prime factors of 41173738. 2, 20586869 List the prime factors of 43899146. 2, 2927, 7499 What are the prime factors of 17911809? 3, 71, 28031 List the prime factors of 37004688. 2, 3, 7, 4079 List the prime factors of 366715112. 2, 131, 349919 List the prime factors of 73779008. 2, 31, 41, 907 List the prime factors of 2363745. 3, 5, 37, 4259 List the prime factors of 3496788665. 5, 541, 1292713 What are the prime factors of 602397505? 5, 139, 866759 What are the prime factors of 24106738? 2, 103, 117023 What are the prime factors of 62071931? 5953, 10427 List the prime factors of 1043199782. 2, 67, 1753, 4441 List the prime factors of 11057736. 2, 3, 431, 1069 List the prime factors of 164963219. 181, 859, 1061 List the prime factors of 7430760. 2, 3, 5, 20641 What are the prime factors of 7464697? 89, 83873 List the prime factors of 2260494803. 7, 2371, 19457 What are the prime factors of 3643122527? 11, 37, 41, 233, 937 List the prime factors of 223969654. 2, 313, 357779 What are the prime factors of 208593653? 208593653 What are the prime factors of 164170733? 53, 149, 20789 What are the prime factors of 51713453? 11, 23, 8887 What are the prime factors of 74231188? 2, 18557797 What are the prime factors of 468834111? 3, 31, 79, 89, 239 What are the prime factors of 153009145? 5, 53, 191, 3023 List the prime factors of 2211630728. 2, 7417, 37273 What are the prime factors of 3477123701? 3477123701 What are the prime factors of 748838604? 2, 3, 31, 1129, 1783 List the prime factors of 37497901. 7, 307, 17449 List the prime factors of 15666120. 2, 3, 5, 43517 List the prime factors of 136631126. 2, 401, 170363 List the prime factors of 196365132. 2, 3, 997, 5471 What are the prime factors of 1223481112? 2, 7, 59, 367, 1009 What are the prime factors of 47464326? 2, 3, 7, 13, 743 List the prime factors of 377285121. 3, 47, 99103 What are the prime factors of 200150236? 2, 11, 13, 349913 List the prime factors of 67629129. 3, 22543043 List the prime factors of 50636185. 5, 10127237 What are the prime factors of 22320461? 22320461 What are the prime factors of 507752417? 83, 97, 63067 What are the prime factors of 2917391020? 2, 5, 6121, 23831 What are the prime factors of 90712958? 2, 7, 233, 27809 What are the prime factors of 6751586194? 2, 41, 1361, 60497 List the prime factors of 291596575. 5, 11663863 What are the prime factors of 916658533? 7, 197, 94961 What are the prime factors of 2161866995? 5, 31, 79, 176551 List the prime factors of 240844888. 2, 163, 191, 967 List the prime factors of 2067985537. 37, 73, 613, 1249 What are the prime factors of 220499590? 2, 5, 31, 557, 1277 What are the prime factors of 1440201? 3, 7, 68581 List the prime factors of 1574279543. 17, 4049, 22871 List the prime factors of 7341086906. 2, 3670543453 What are the prime factors of 75169106? 2, 23, 929, 1759 What are the prime factors of 29773154? 2, 17, 875681 What are the prime factors of 18199409? 139, 311, 421 List the prime factors of 781483929. 3, 31, 8403053 List the prime factors of 5406309746. 2, 29, 83, 661, 1699 What are the prime factors of 3293629014? 2, 3, 13, 67, 173, 3643 List the prime factors of 107998199. 739, 146141 What are the prime factors of 37563258? 2, 3, 31, 201953 List the prime factors of 442378120. 2, 5, 11059453 List the prime factors of 1909407970. 2, 5, 61, 71, 44087 What are the prime factors of 32524539? 3, 10841513 What are the prime factors of 85641481? 53, 383, 4219 What are the prime factors of 490403063? 17, 199, 144961 List the prime factors of 323821995. 3, 5, 7, 3084019 List the prime factors of 2969055183. 3, 79, 12527659 What are the prime factors of 144501861? 3, 7, 6881041 What are the prime factors of 1309014615? 3, 5, 29, 281, 10709 List the prime factors of 46284523. 17, 2722619 What are the prime factors of 9575005? 5, 11, 174091 What are the prime factors of 42795372? 2, 3, 19, 187699 List the prime factors of 1277556389. 1277556389 What are the prime factors of 15211192? 2, 17, 111847 What are the prime factors of 1847939039? 1231, 1501169 List the prime factors of 1440274746. 2, 3, 19, 67, 101, 1867 List the prime factors of 28296796. 2, 11, 151, 4259 List the prime factors of 157900190. 2, 5, 7, 2255717 What are the prime factors of 71968431? 3, 23989477 List the prime factors of 13084779. 3, 4361593 List the prime factors of 3468153023. 6317, 549019 What are the prime factors of 62579585? 5, 12515917 What are the prime factors of 231006954? 2, 3, 38501159 List the prime factors of 12815646. 2, 3, 23, 92867 What are the prime factors of 2510052597? 3, 13, 7151147 List the prime factors of 363840397. 31, 359, 32693 List the prime factors of 61791590. 2, 5, 7, 181, 4877 List the prime factors of 49009026. 2, 3, 11, 67, 11083 What are the prime factors of 56935276? 2, 113, 125963 What are the prime factors of 622470966? 2, 3, 13, 2557, 31
{ "pile_set_name": "DM Mathematics" }
*v - 560. Determine f(6). 16 Let h(u) = -u**2 - 178*u - 4306. Determine h(-149). 15 Let k(w) = 5*w**2 + 35*w - 398. Give k(-13). -8 Let l(x) = -173*x - 344. Calculate l(-2). 2 Let s(c) = -50*c + 129. What is s(7)? -221 Let s(b) = -2*b**2 + 468*b - 13924. Determine s(35). 6 Let m(w) = 15*w**2 + 57*w - 20. Calculate m(-4). -8 Let s(f) = -f**3 - 65*f**2 - 408*f + 15. Give s(-7). 29 Let f(v) = -9*v**2 - 108*v - 381. Give f(-5). -66 Let s(m) = 732*m + 6549. Calculate s(-9). -39 Let q(f) = -f**2 - 18*f + 59. What is q(-21)? -4 Let n(d) = d**3 - 40*d**2 + 255*d. Give n(32). -32 Let q(t) = -36*t + 614. Give q(17). 2 Let l(a) = a**3 + 23*a**2 - 60*a - 7. Give l(-25). 243 Let p(z) = -85*z - 652. What is p(-9)? 113 Let p(d) = d**2 + 48*d + 316. Give p(-39). -35 Let d(i) = 211*i + 1899. Give d(-9). 0 Let t(k) = -k**3 + 85*k**2 + 174*k + 532. Give t(87). 532 Let z(c) = -1409*c + 8455. Give z(6). 1 Let w(d) = d**3 + 25*d**2 - 16*d - 374. Determine w(-25). 26 Let o(k) = -83*k + 1052. Give o(17). -359 Let w(u) = 1175*u + 88121. Determine w(-75). -4 Let w(b) = b**2 - 493*b + 15173. Calculate w(33). -7 Let r(h) = h**3 - 230*h**2 + 6664*h + 12. Calculate r(34). 12 Let t(o) = -45*o**2 + 533*o + 20. What is t(12)? -64 Let y(m) = -m**2 - 143*m - 1257. Calculate y(-10). 73 Let r(a) = -794*a - 1596. Calculate r(-2). -8 Let n(m) = 3*m**2 + 13*m - 968. Give n(16). 8 Let r(k) = -2*k**2 + 26*k - 33. Give r(9). 39 Let z(n) = -515*n - 2570. Give z(-5). 5 Let w(c) = 41*c + 274. What is w(-6)? 28 Let x(w) = -1437*w - 15807. Determine x(-11). 0 Let m(r) = r**2 + 403*r + 6179. Determine m(-16). -13 Let f(v) = 89*v**2 - 1069*v + 19. What is f(12)? 7 Let d(o) = -o**3 - 10*o**2 - 25*o - 34. Calculate d(-8). 38 Let h(o) = o**3 - 4*o**2 - 31*o + 106. What is h(3)? 4 Let t(d) = d**2 + 7*d + 5. Determine t(-7). 5 Let p(k) = 9078*k + 63538. Give p(-7). -8 Let w(k) = -2*k**3 + 31*k**2 + 9*k + 55. Calculate w(17). -659 Let t(s) = -1827*s - 16463. Determine t(-9). -20 Let l(p) = -154*p**3 - 24*p - 25. Give l(-1). 153 Let b(o) = -335*o + 1292. Determine b(4). -48 Let u(g) = g**2 - 50*g + 598. Calculate u(19). 9 Let c(u) = u**3 - 29*u**2 + 7*u - 78. What is c(28)? -666 Let g(i) = 3*i**3 + 90*i**2 + 330*i + 472. Determine g(-26). 4 Let g(l) = -2*l**2 - 114*l + 111. Calculate g(-58). -5 Let b(z) = 6*z**2 - 82*z + 78. Determine b(12). -42 Let x(s) = -s**3 + 27*s**2 + 89*s + 1. Determine x(30). -29 Let v(r) = -21*r + 1152. What is v(61)? -129 Let t(m) = -2*m**2 + 49*m - 288. Calculate t(14). 6 Let w(s) = -s**3 + 7*s**2 - 6*s + 59. Calculate w(7). 17 Let j(b) = -9*b**2 + 103*b + 185. Give j(15). -295 Let c(z) = -z**3 - 17*z**2 + 22*z + 13. Calculate c(-18). -59 Let y(k) = -k**3 - 14*k**2 + 1472*k + 5. Give y(32). 5 Let g(f) = -2*f + 801. Determine g(-28). 857 Let x(d) = -3*d**3 - 20*d**2 - 29*d - 84. Give x(-6). 18 Let z(t) = t**2 - 390*t + 22896. Give z(318). 0 Let f(v) = v**2 + 79*v + 343. Calculate f(-5). -27 Let z(v) = -v**2 - 17*v + 8867. What is z(-103)? 9 Let z(f) = -f**3 + 8*f**2 + 199. Give z(10). -1 Let m(x) = -x**2 - 8*x + 10. What is m(-37)? -1063 Let d(q) = -22*q + 28. Determine d(2). -16 Let r(h) = -775*h - 3891. Determine r(-5). -16 Let a(i) = -171*i - 3655. Determine a(-19). -406 Let q(l) = 30*l - 149. What is q(10)? 151 Let l(s) = -16*s - 48. Determine l(-9). 96 Let a(b) = 36*b**2 + 8*b + 9. Determine a(-1). 37 Let l(w) = w**3 + 10*w**2 - 25*w - 4. Give l(-9). 302 Let b(p) = -469*p + 986. Calculate b(2). 48 Let h(o) = -1551*o + 7763. Calculate h(5). 8 Let o(b) = 14*b**2 + 157*b + 39. Give o(-11). 6 Let y(m) = 2453*m + 7411. What is y(-3)? 52 Let s(d) = -d**2 - 757*d - 8194. Determine s(-11). 12 Let q(m) = -427*m - 8205. Give q(-19). -92 Let b(c) = 34*c + 4569. Determine b(-134). 13 Let y(g) = -g**2 - 56*g - 476. Calculate y(-42). 112 Let r(o) = -o**2 - 29*o - 68. Calculate r(-9). 112 Let k(p) = 10*p**3 + 59*p**2 + p + 18. Give k(-6). -24 Let a(i) = -565*i - 10747. What is a(-19)? -12 Let a(h) = -h**3 + 211*h**2 + 2023*h - 9467. Calculate a(220). -7 Let h(v) = -34*v + 1534. Determine h(45). 4 Let x(d) = -d**2 - 250*d - 4171. What is x(-18)? 5 Let f(g) = -9*g - 21. Determine f(6). -75 Let n(t) = -2*t**2 + 380*t - 10085. Give n(158). 27 Let g(o) = 13*o**3 + 12*o**2 - 21*o + 6. Determine g(1). 10 Let b(f) = -164*f - 2901. Give b(-18). 51 Let z(g) = -418*g - 2492. Calculate z(-6). 16 Let n(k) = k**2 + 113*k + 2458. Calculate n(-83). -32 Let z(d) = -3*d**2 + 20*d + 486. Determine z(19). -217 Let y(l) = -l**2 - 544*l - 1092. Give y(-2). -8 Let o(w) = -w**3 - 4*w**2 - 2*w + 26. Determine o(-5). 61 Let r(n) = 435*n - 26098. Calculate r(60). 2 Let o(k) = k**2 - 96*k - 3786. What is o(126)? -6 Let m(o) = -14*o**2 - 18*o + 16. Calculate m(-4). -136 Let l(v) = -1736*v**2 + 5201*v + 23. Determine l(3). 2 Let w(m) = 2*m**3 + 138*m**2 + 146*m + 451. Calculate w(-68). -229 Let n(d) = 150*d**3 + 2*d**2 - d - 4. Determine n(-1). -151 Let t(x) = 58*x + 1878. Determine t(-35). -152 Let b(f) = -f**2 - 6*f - 19. Give b(-6). -19 Let c(g) = 54*g - 1248. What is c(24)? 48 Let x(q) = -7*q + 107. What is x(13)? 16 Let y(w) = -48*w + 4400. Determine y(92). -16 Let r(t) = -33*t**2 - 234*t - 23. Calculate r(-7). -2 Let d(i) = -86*i - 259. Give d(-3). -1 Let x(v) = 14*v**2 - 32*v + 7. Calculate x(0). 7 Let i(w) = 7*w**2 + 330*w + 706. Calculate i(-45). 31 Let w(z) = -22*z**2 - 207*z + 184. Give w(-10). 54 Let c(i) = 76*i + 2799. Determine c(-35). 139 Let n(w) = 2*w**2 - 60*w + 399. Determine n(20). -1 Let p(b) = -4*b**3 - 26*b + 46. What is p(2)? -38 Let i(t) = -2*t**3 - 14*t**2 + 10*t + 35. Give i(-11). 893 Let n(w) = 2*w**3 - 112*w**2 + 106*w + 178. Determine n(55). -42 Let o(y) = -y**2 + 29*y - 20. Determine o(27). 34 Let t(s) = 4*s**2 + 80*s - 492. Determine t(-25). 8 Let f(h) = -382*h + 10716. Calculate f(28). 20 Let d(j) = -148*j - 1393. Determine d(-9). -61 Let t(r) = 403*r**2 + 19*r - 2. Determine t(1). 420 Let t(a) = a**3 + 28*a**2 + 29*a - 67. Give t(-27). -121 Let i(r) = r**3 - 8*r**2 - 4*r - 8. Determine i(10). 152 Let s(i) = -5*i**3 + 77*i**2 - 15*i - 169. Give s(15). 56 Let t(s) = -s**3 - 42*s**2 - 152*s + 142. What is t(-38)? 142 Let z(b) = b**2 - 41*b - 686. Give z(60). 454 Let g(p) = -p**2 - 71*p + 87. What is g(-65)? 477 Let w(m) = 77*m - 50. Give w(1). 27 Let v(c) = -3*c**2 - 96*c + 981. Calculate v(9). -126 Let p(w) = 2*w**2 - 51*w + 15. What is p(19)? -232 Let j(q) = -q**2 - 11*q + 11. What is j(6)? -91 Let y(h) = -154*h - 11972. Calculate y(-78). 40 Let h(d) = d**3 + 7*d**2 + 16. Give h(-7). 16 Let h(v) = 540*v - 1901. Calculate h(4). 259 Let x(k) = -62*k**2 - 45*k - 45. Give x(-1). -62 Let k(i) = i**2 + 3*i - 19. Give k(12). 161 Let b(g) = g**2 - 169*g + 6701. Calculate b(63). 23 Let f(j) = 69*j**3 - 2*j**2 + 5*j - 3. Calculate f(1). 69 Let x(s) = 19*s - 859. Determine x(18). -517 Let c(k) = -k**3 - 20*k**2 + 129*k - 1615. What is c(-27)? 5 Let d(u) = -2*u**3 + u**2 - 4*u - 26. Give d(-2). 2 Let p(j) = 10*j + 460. Give p(-41). 50 Let x(o) = -52*o + 1171. What is x(23)? -25 Let d(a) = 12*a + 379. Calculate d(-26). 67 Let h(t) = -249*t - 928. Calculate h(-4). 68 Let r(m) = -m**3 - 33*m**2 - 10*m - 1493. Calculate r(-34). 3 Let x(z) = z**3 + 4*z**2 - 19*z - 43. What is x(-2)? 3 Let o(m) = -m**2 + 6*m + 542. Give o(27). -25 Let j(a) = 4*a - 271. Calculate j(64). -15 Let n(d) = -d**3 + d**2 - 4. Determine n(-2). 8 Let c(r) = -15*r**2 - 334*r - 1561. What is c(-6)? -97 Let p(a) = -82*a - 161. Calculate p(-8). 495 Let f(t) = -3*t**2 - 9*t - 55. What is f(-9)? -217 Let g(w) = -3*w**3 + 36*w**2 + 6*w - 14. What is g(12)? 58 Let r(l) = 423*l**2 - 2097*l - 69. Calculate r(5). 21 Let i(p) = -3*p**2 - 73*p - 311. Determine i(-19). -7 Let o(c) = 127*c - 741. Determine o(7). 148 Let s(w) = 309*w + 16067. What is s(-52)? -1 Let z(u) = u**2 - 20*u - 29. What is z(15)? -104 Let u(h) = -48*h - 720. Determine u(-16). 48 Let k(y) = 5754*y - 28770. Give k(5). 0 Let s(z) = 3*z**2 - 365*z + 512. Give s(119). -440 Let a(n) = -n**2 + 27*n + 150. What is a(-6)? -48 Let f(g) = 257*g - 1071. Determine f(4). -43 Let r(n) = -4*n**2 - 85*n - 94. Give r(-19). 77 Let f(x) = -x**3 - 29*x**2 + 39*x + 147. What is f(-30)? -123 Let o(t) = 43*t - 647. Determine o(29). 600 Let c(g) = 40*g - 2728. Determine c(75). 272 Let
{ "pile_set_name": "DM Mathematics" }
. 8/273 Calculate prob of picking 3 w when three letters picked without replacement from {w: 3, m: 5}. 1/56 What is prob of picking 2 r, 1 v, and 1 z when four letters picked without replacement from voozvrvnonozrzoooon? 3/1292 What is prob of picking 2 o and 1 h when three letters picked without replacement from {o: 2, e: 1, n: 1, q: 1, g: 2, h: 1}? 1/56 What is prob of picking 2 j and 2 n when four letters picked without replacement from nnnnnnnjnnnjjnjnnnnn? 48/323 Four letters picked without replacement from {k: 3, b: 6, u: 4}. What is prob of picking 4 b? 3/143 Calculate prob of picking 1 c and 1 o when two letters picked without replacement from jooyojjjccjcccjo. 1/6 Four letters picked without replacement from {n: 1, r: 4, c: 4, j: 1, o: 3}. What is prob of picking 1 n, 2 c, and 1 r? 24/715 What is prob of picking 1 n, 1 u, and 2 b when four letters picked without replacement from nnbnnuuubn? 1/14 Calculate prob of picking 2 h when two letters picked without replacement from {u: 1, n: 3, h: 3, j: 5}. 1/22 What is prob of picking 3 f and 1 z when four letters picked without replacement from lzzzfeeqzfzofofeoo? 1/153 Two letters picked without replacement from {o: 5, e: 1, p: 3}. What is prob of picking 2 p? 1/12 Three letters picked without replacement from {v: 6, t: 1, h: 5, k: 1, c: 1}. What is prob of picking 1 t, 1 c, and 1 h? 5/364 Calculate prob of picking 2 c, 1 v, and 1 n when four letters picked without replacement from ncnnvnccvvvocvonc. 25/238 What is prob of picking 1 p and 1 h when two letters picked without replacement from {p: 2, h: 3}? 3/5 Four letters picked without replacement from {w: 3, p: 4, i: 2, e: 6, h: 2}. What is prob of picking 1 e, 2 i, and 1 p? 6/595 What is prob of picking 2 o when two letters picked without replacement from {y: 4, o: 6, e: 2}? 5/22 Calculate prob of picking 1 c, 1 i, and 1 o when three letters picked without replacement from {c: 3, o: 5, k: 8, i: 1, a: 2}. 5/323 What is prob of picking 2 a when two letters picked without replacement from aiyaiiiaiiiia? 1/13 Calculate prob of picking 1 y and 2 s when three letters picked without replacement from {s: 2, m: 7, y: 9}. 3/272 Two letters picked without replacement from {h: 4, b: 3, s: 3, y: 1}. Give prob of picking 1 y and 1 s. 3/55 Two letters picked without replacement from {s: 17, i: 1}. What is prob of picking 2 s? 8/9 Calculate prob of picking 4 c when four letters picked without replacement from {g: 2, x: 2, p: 1, c: 4, w: 5}. 1/1001 What is prob of picking 4 o when four letters picked without replacement from {v: 2, o: 7}? 5/18 What is prob of picking 3 r when three letters picked without replacement from rrururr? 2/7 Three letters picked without replacement from nngnnwnwggngn. Give prob of picking 2 w and 1 g. 2/143 What is prob of picking 1 k and 2 v when three letters picked without replacement from {k: 4, v: 3}? 12/35 What is prob of picking 1 g and 1 u when two letters picked without replacement from {l: 2, u: 1, i: 4, g: 1, y: 3}? 1/55 Calculate prob of picking 1 u and 1 b when two letters picked without replacement from bkdyu. 1/10 Calculate prob of picking 3 x when three letters picked without replacement from bxxbbbbxbbbxbxbxfxb. 35/969 Calculate prob of picking 1 g, 1 r, and 2 e when four letters picked without replacement from {g: 1, y: 3, r: 2, d: 10, e: 2, l: 1}. 1/1938 Two letters picked without replacement from pppbbskkby. What is prob of picking 1 k and 1 b? 2/15 What is prob of picking 1 p and 3 m when four letters picked without replacement from mpmmpmppmppp? 14/99 Three letters picked without replacement from onmnos. What is prob of picking 1 s, 1 n, and 1 o? 1/5 Three letters picked without replacement from vprdb. What is prob of picking 1 b, 1 v, and 1 p? 1/10 Three letters picked without replacement from kxkfkxkkxkxxkxxxxkx. What is prob of picking 1 x and 2 k? 280/969 What is prob of picking 1 m and 1 u when two letters picked without replacement from {p: 2, m: 1, u: 1, z: 1, n: 3, v: 5}? 1/78 Three letters picked without replacement from {n: 9, o: 3}. What is prob of picking 3 o? 1/220 Calculate prob of picking 1 r, 1 u, and 1 h when three letters picked without replacement from {u: 4, r: 2, h: 5}. 8/33 Calculate prob of picking 3 c when three letters picked without replacement from {p: 3, c: 11}. 165/364 Calculate prob of picking 2 s when two letters picked without replacement from {i: 2, r: 5, s: 2}. 1/36 Three letters picked without replacement from tisfiiyinfyn. Give prob of picking 2 f and 1 s. 1/220 Two letters picked without replacement from {b: 2, q: 9, z: 7}. Give prob of picking 2 q. 4/17 Calculate prob of picking 1 d and 1 w when two letters picked without replacement from llwwldbbdbbwwwbll. 5/68 Two letters picked without replacement from fvrjvvxrvvjj. What is prob of picking 1 v and 1 r? 5/33 Calculate prob of picking 1 m, 2 l, and 1 a when four letters picked without replacement from llmtllolttla. 1/33 Two letters picked without replacement from {r: 7, g: 2}. Give prob of picking 2 g. 1/36 Calculate prob of picking 1 b and 2 t when three letters picked without replacement from {o: 1, t: 2, k: 2, b: 1}. 1/20 Four letters picked without replacement from eerceraaer. What is prob of picking 4 e? 1/210 Three letters picked without replacement from {r: 3, y: 1, c: 4}. Give prob of picking 1 y and 2 r. 3/56 Four letters picked without replacement from {s: 4, l: 5, a: 10}. What is prob of picking 2 s and 2 l? 5/323 Three letters picked without replacement from {y: 2, t: 7, x: 2}. What is prob of picking 1 y and 2 x? 2/165 Calculate prob of picking 3 k and 1 a when four letters picked without replacement from aakaaaakkk. 4/35 What is prob of picking 1 w and 3 n when four letters picked without replacement from nwnncaaarwnwnannw? 1/17 What is prob of picking 2 d and 2 z when four letters picked without replacement from {z: 8, d: 2}? 2/15 Three letters picked without replacement from adadadaadu. Give prob of picking 3 a. 1/12 What is prob of picking 2 o, 1 m, and 1 r when four letters picked without replacement from {o: 3, r: 3, m: 2}? 9/35 What is prob of picking 2 d and 2 q when four letters picked without replacement from qkdddqqqq? 5/21 What is prob of picking 1 j and 2 h when three letters picked without replacement from {j: 4, h: 16}? 8/19 What is prob of picking 2 d and 1 b when three letters picked without replacement from {b: 11, d: 5}? 11/56 Three letters picked without replacement from {c: 2, n: 1, g: 1, h: 1, d: 2, w: 1}. What is prob of picking 1 g and 2 d? 1/56 Calculate prob of picking 1 x, 1 z, and 1 j when three letters picked without replacement from {x: 1, j: 1, l: 2, z: 2}. 1/10 Four letters picked without replacement from {g: 7, o: 3, q: 4}. What is prob of picking 1 q and 3 o? 4/1001 Two letters picked without replacement from {y: 9, z: 2}. Give prob of picking 1 y and 1 z. 18/55 Four letters picked without replacement from {w: 11, i: 1}. Give prob of picking 2 w and 2 i. 0 What is prob of picking 1 x and 1 j when two letters picked without replacement from bwtoobtobwxotjw? 1/105 Calculate prob of picking 1 p and 3 b when four letters picked without replacement from bgbpnpnbnnnpnngnnbng. 4/1615 Four letters picked without replacement from {i: 2, c: 2, x: 1, m: 2, a: 1, p: 1}. Give prob of picking 1 x, 1 a, 1 i, and 1 m. 2/63 What is prob of picking 1 f, 1 k, 1 w, and 1 n when four letters picked without replacement from {n: 10, w: 5, f: 1, k: 1}? 5/238 Calculate prob of picking 1 b, 1 a, and 1 m when three letters picked without replacement from boamd. 1/10 Calculate prob of picking 1 k and 1 f when two letters picked without replacement from fkkkykyfky. 2/9 Three letters picked without replacement from ooocjcjoojcjjjo. Give prob of picking 1 o and 2 c. 18/455 Two letters picked without replacement from {n: 2, d: 1, e: 1, u: 1}. Give prob of picking 1 n and 1 u. 1/5 What is prob of picking 4 r when four letters picked without replacement from {w: 3, r: 7}? 1/6 Three letters picked without replacement from {e: 1, h: 12, x: 6}. Give prob of picking 2 x and 1 h. 60/323 Calculate prob of picking 3 x when three letters picked without replacement from oqxxixdix. 1/21 What is prob of picking 1
{ "pile_set_name": "DM Mathematics" }
ters picked without replacement from {z: 7, k: 2, g: 5, x: 2, a: 4}? 4/969 Four letters picked without replacement from remmmmrrmermemmemmr. Give prob of picking 2 e and 2 r. 5/323 Two letters picked without replacement from ivgvabic. Give prob of picking 1 c and 1 g. 1/28 Three letters picked without replacement from {t: 1, w: 2, p: 1, s: 1, a: 1, h: 1}. Give prob of picking 1 h, 1 w, and 1 s. 2/35 Calculate prob of picking 1 e and 1 w when two letters picked without replacement from kwknkeeeee. 1/9 What is prob of picking 3 v when three letters picked without replacement from {e: 10, w: 3, z: 1, v: 3, h: 2}? 1/969 What is prob of picking 1 v, 1 p, and 1 j when three letters picked without replacement from {v: 2, u: 1, j: 1, p: 1}? 1/5 What is prob of picking 1 d and 2 o when three letters picked without replacement from {o: 3, d: 17}? 17/380 What is prob of picking 2 d when two letters picked without replacement from uodujodujuufujjodu? 1/51 Two letters picked without replacement from {r: 1, k: 1, x: 14}. What is prob of picking 1 x and 1 k? 7/60 Two letters picked without replacement from fcccfcfc. What is prob of picking 1 f and 1 c? 15/28 Two letters picked without replacement from {c: 2, y: 1, r: 2, f: 1}. What is prob of picking 1 c and 1 y? 2/15 Three letters picked without replacement from {m: 1, c: 4, i: 1, j: 1, h: 3, t: 6}. What is prob of picking 2 h and 1 t? 9/280 What is prob of picking 1 c and 2 p when three letters picked without replacement from curpeccececrprceeee? 2/323 Three letters picked without replacement from woimiowwzmic. Give prob of picking 1 m, 1 w, and 1 o. 3/55 Calculate prob of picking 1 m and 1 o when two letters picked without replacement from {o: 2, m: 1, k: 1, j: 3, p: 3}. 2/45 What is prob of picking 1 k and 1 q when two letters picked without replacement from gkroqoyg? 1/28 Four letters picked without replacement from izzizpi. What is prob of picking 1 i and 3 z? 3/35 Calculate prob of picking 1 m, 1 i, and 1 h when three letters picked without replacement from {n: 1, i: 1, m: 1, h: 2, e: 2, g: 1}. 1/28 Three letters picked without replacement from seeexeegxxee. What is prob of picking 1 e, 1 s, and 1 x? 21/220 What is prob of picking 3 g when three letters picked without replacement from {g: 3, q: 7, y: 2, b: 1, n: 1}? 1/364 What is prob of picking 1 h and 3 b when four letters picked without replacement from hbhbbhbbnqnb? 4/33 Two letters picked without replacement from {d: 1, q: 1, a: 1, j: 2}. Give prob of picking 2 j. 1/10 Calculate prob of picking 2 b when two letters picked without replacement from {b: 7, d: 2}. 7/12 Two letters picked without replacement from wbbbhhhqbh. Give prob of picking 1 q and 1 b. 4/45 What is prob of picking 1 p and 1 f when two letters picked without replacement from pcppccccfpccccff? 1/10 Two letters picked without replacement from {z: 4, u: 2, h: 2}. Give prob of picking 2 h. 1/28 What is prob of picking 2 x when two letters picked without replacement from wslyxyccx? 1/36 Calculate prob of picking 1 e and 1 l when two letters picked without replacement from ehhpehpheehhhl. 4/91 What is prob of picking 1 f and 2 l when three letters picked without replacement from {f: 12, l: 5, x: 2}? 40/323 Calculate prob of picking 3 k when three letters picked without replacement from {x: 2, k: 5}. 2/7 What is prob of picking 2 w when two letters picked without replacement from {w: 9}? 1 Calculate prob of picking 2 j and 2 i when four letters picked without replacement from jffwwitijjjwjjwww. 3/476 What is prob of picking 1 s and 1 z when two letters picked without replacement from vxxsxxxxfzzxfzxz? 1/30 Two letters picked without replacement from vba. Give prob of picking 1 b and 1 v. 1/3 Two letters picked without replacement from xudusgi. What is prob of picking 1 i and 1 s? 1/21 Three letters picked without replacement from {h: 3, r: 4}. What is prob of picking 3 h? 1/35 Four letters picked without replacement from {l: 1, g: 2, t: 1, q: 1, d: 1, c: 1}. Give prob of picking 1 g, 1 d, 1 c, and 1 q. 2/35 Four letters picked without replacement from {q: 2, m: 1, y: 1}. Give prob of picking 3 q and 1 y. 0 What is prob of picking 2 c when two letters picked without replacement from cccc? 1 What is prob of picking 2 l and 1 w when three letters picked without replacement from lllwwlwwlwlwlwww? 27/80 Two letters picked without replacement from tvvvvvtvv. Give prob of picking 2 v. 7/12 Three letters picked without replacement from hghghh. Give prob of picking 1 g and 2 h. 3/5 Three letters picked without replacement from {q: 1, v: 9, m: 9}. Give prob of picking 1 m and 2 v. 108/323 What is prob of picking 1 p, 2 c, and 1 r when four letters picked without replacement from {t: 8, r: 2, c: 2, p: 2}? 4/1001 Two letters picked without replacement from {w: 1, z: 1, f: 3}. Give prob of picking 1 z and 1 f. 3/10 What is prob of picking 1 z and 1 n when two letters picked without replacement from {i: 8, n: 9, z: 2}? 2/19 Calculate prob of picking 1 c and 2 j when three letters picked without replacement from jpjzpjcppddpu. 3/286 Two letters picked without replacement from {s: 4, q: 1, a: 1, t: 5}. What is prob of picking 1 a and 1 t? 1/11 Two letters picked without replacement from {l: 4, y: 3, p: 2, n: 1}. What is prob of picking 2 l? 2/15 Three letters picked without replacement from ququuuuuquuuqu. What is prob of picking 2 q and 1 u? 15/91 Two letters picked without replacement from {w: 3, b: 2, g: 2, h: 1, m: 1, u: 6}. Give prob of picking 1 u and 1 h. 2/35 What is prob of picking 2 x when two letters picked without replacement from {l: 5, u: 1, p: 1, x: 13}? 39/95 What is prob of picking 1 y and 1 r when two letters picked without replacement from rgygrcgcwqqcgcy? 4/105 Calculate prob of picking 2 h and 1 r when three letters picked without replacement from {r: 2, h: 5}. 4/7 Calculate prob of picking 2 l and 1 e when three letters picked without replacement from lblgbmbebbbmm. 1/286 Four letters picked without replacement from ttktzttztktztz. Give prob of picking 1 k, 1 z, and 2 t. 32/143 Two letters picked without replacement from grqtzgghrzgq. Give prob of picking 1 h and 1 g. 2/33 What is prob of picking 1 n and 1 r when two letters picked without replacement from nnnrrrrnrrrrrr? 40/91 Four letters picked without replacement from {n: 9, e: 11}. Give prob of picking 4 e. 22/323 Three letters picked without replacement from {n: 3, v: 3, q: 4, r: 1, d: 3, y: 1}. Give prob of picking 1 y, 1 d, and 1 r. 3/455 Calculate prob of picking 1 n and 1 i when two letters picked without replacement from ndnicli. 4/21 What is prob of picking 4 w when four letters picked without replacement from {z: 3, w: 5, s: 3}? 1/66 What is prob of picking 1 n and 1 v when two letters picked without replacement from {t: 1, a: 1, f: 2, n: 1, o: 2, v: 1}? 1/28 Three letters picked without replacement from dzpdwpppzpppbdppozp. Give prob of picking 3 z. 1/969 What is prob of picking 3 r when three letters picked without replacement from roooorr? 1/35 Four letters picked without replacement from {n: 16, f: 3, j: 1}. Give prob of picking 2 n and 2 f. 24/323 Four letters picked without replacement from ussxusoxsxu. What is prob of picking 1 s and 3 u? 2/165 Two letters picked without replacement from {p: 2, x: 3, y: 9, j: 1, s: 1, w: 3}. What is prob of picking 2 x? 1/57 Two letters picked without replacement from djdjdddjjdjjjjdjjjj. Give prob of picking 2 d. 7/57 Two letters picked without replacement from {n: 2, o: 4, i: 1, p: 1, q: 2}. What is prob of picking 1 o and 1 q? 8/45 Calculate prob of picking 2 i and 1 a when three letters picked without replacement from {a: 1, i: 6, p: 6, c: 6}. 5/323 What is prob of picking 1 n and 2 e when three letters picked without replacement from {h: 4, e: 3, n: 1, d: 5, q: 5}? 1/272 Calculate prob of picking 1 b, 2 z, and 1 u when four letters picked without replacement from {d: 1, z: 8, b: 7, u: 2}. 98/765 Two letters picked without replacement from nnnnnnndnnnnnnn. What is prob of picking 1 d and 1 n? 2/15 What is prob of picking 1 t and 1 e when two letters picked without replacement from etetttt? 10/21 Three letters picked without replacement from srqqucrcsqjcsucr. Give prob
{ "pile_set_name": "DM Mathematics" }
ate -195.8323*-0.1. 19.58323 2.3 * 1699414 3908652.2 4281.6 * 0.007 29.9712 Work out 0.225 * 0.5466. 0.122985 Calculate 57490.5*39. 2242129.5 Multiply -0.852 and 13783. -11743.116 What is -4564 times -0.74? 3377.36 Work out -220.03 * 0.039. -8.58117 What is the product of -20 and -231823? 4636460 -1851023 * 32 -59232736 Product of 10 and -0.435895. -4.35895 609 * -64692.1 -39397488.9 2566.4 times 0.522 1339.6608 Work out 0.5 * 22116710. 11058355 Calculate 140441*-0.39. -54771.99 Work out -2 * -3120336. 6240672 Multiply 0.12960436 and -4. -0.51841744 Calculate 10*362907. 3629070 Multiply 2.0366441 and -0.06. -0.122198646 173484 * -20.7 -3591118.8 Multiply -0.1692742 and 0. 0 -0.05 times -7766007 388300.35 Multiply 79885728 and -0.1. -7988572.8 -60.4*-31648 1911539.2 What is -1480694 times 5.5? -8143817 Work out 1208 * -2150.99. -2598395.92 26.23 * -57998 -1521287.54 -3*4934.1008 -14802.3024 18439 * 96.01 1770328.39 -705.1 times -4 2820.4 Multiply 0.14743 and -7832. -1154.67176 Calculate 12284749*0.3. 3685424.7 What is the product of -583.86 and -3.266? 1906.88676 What is -27.75 times -10819? 300227.25 Calculate 4421022*0.071. 313892.562 What is the product of 0.1 and -2045159? -204515.9 Calculate -4168394.3*0.05. -208419.715 5465721 * 0.3 1639716.3 Product of 13 and -414755. -5391815 What is the product of 2789.83 and -0.099? -276.19317 Work out 11 * -26309732. -289407052 -0.003 times 21243.1 -63.7293 Multiply 413 and 4459. 1841567 Product of 0.006 and 2.63815. 0.0158289 What is 315.68 times 388.6? 122673.248 Product of 216.2 and -3601. -778536.2 -3.2 times 216698 -693433.6 What is the product of -91071 and -0.0055? 500.8905 Calculate 40668400*-11. -447352400 What is the product of -1172 and -106748? 125108656 0.4*-45074348 -18029739.2 What is the product of 0.7654 and -87830? -67225.082 Product of 0.6452868 and 6. 3.8717208 Calculate 75196*-0.36. -27070.56 -0.71756*-1491.3 1070.097228 Work out -0.07 * -900381. 63026.67 Calculate 0.1*-91111119. -9111111.9 Product of -3401284 and 138. -469377192 What is 0.4 times 8473891? 3389556.4 What is the product of -9938367 and -0.3? 2981510.1 4.536*-48989 -222214.104 Product of 1.8 and 125284. 225511.2 Multiply -2935 and 2.3. -6750.5 Product of -1.2 and -3256603. 3907923.6 Work out 91.6 * -9198. -842536.8 What is -1835 times 3190.6? -5854751 Product of 2121367 and 202. 428516134 405172 times -567 -229732524 Multiply 0.3 and 417.84498. 125.353494 What is the product of 2 and -10076447? -20152894 69102087 * 0.1 6910208.7 -0.15*-2429548 364432.2 What is the product of -5416 and -40769? 220804904 Multiply 9986409 and 4. 39945636 Calculate -1607269*-2. 3214538 -0.4 times 3.761312 -1.5045248 Work out -5 * 72109.1. -360545.5 Work out 224399 * -150. -33659850 Calculate 120.54846*-4. -482.19384 Calculate -90*-680895. 61280550 Calculate 17861005*0.2. 3572201 Work out 44373.739 * 2. 88747.478 What is 35 times 240.9653? 8433.7855 18722881 times -4 -74891524 Multiply -420.511 and -0.119. 50.040809 What is 0.069059 times 17.113? 1.181806667 Calculate -11830.1424*0. 0 What is -5 times 10.68958? -53.4479 Multiply 3228 and -24063. -77675364 What is the product of -9.2 and 1.111764? -10.2282288 What is the product of 4566.01 and -68? -310488.68 Work out 11372 * 480. 5458560 -0.166 times 3843 -637.938 1 * 1348440 1348440 What is the product of -93951 and 162? -15220062 -0.16*-243.436 38.94976 Calculate 517.2826*-47. -24312.2822 Work out 2967146.7 * -0.1. -296714.67 What is the product of -2 and -621048? 1242096 5.2312908*-0.5 -2.6156454 -220439*20 -4408780 -193.77568*-0.12 23.2530816 727034316 * 0.1 72703431.6 Product of -3 and 74.21443. -222.64329 Multiply -0.6 and 2171.993. -1303.1958 Work out 0.070684 * 11. 0.777524 2466.293 times 1 2466.293 What is 17246317 times 1? 17246317 12403 * -168.89 -2094742.67 What is the product of 2.467 and 90.6? 223.5102 What is -58.3 times 122739? -7155683.7 Multiply -0.2 and -2.056671. 0.4113342 -313 * 28563.4 -8940344.2 Multiply 0.4 and 89093270. 35637308 Work out 319 * -238685. -76140515 -1241.5959 * -0.17 211.071303 1374596.4 * -0.3 -412378.92 Work out 0.06392 * -1522.4. -97.311808 What is -0.2399711 times 0.17? -0.040795087 -0.3*18412562 -5523768.6 Multiply -2 and 35605513. -71211026 Calculate 1*9662378. 9662378 Calculate 3778*-8795. -33227510 1.3 * -179.02633 -232.734229 Calculate 3.6953146*-0.02. -0.073906292 Multiply -384 and -163148. 62648832 Multiply -116 and -16.992. 1971.072 1278*-50.74 -64845.72 Calculate -5*426072. -2130360 -20.3411334*4 -81.3645336 Work out 12 * -983572. -11802864 Calculate 2.07396*-50. -103.698 Product of -364763288 and 0.4. -145905315.2 -16478 * 4.779 -78748.362 0.016*-125.55506 -2.00888096 Product of -2978068 and 6. -17868408 -12754519 * 3 -38263557 Multiply 0.0106155682 and 0. 0 What is the product of -1593 and -9262? 14754366 What is the product of 26889 and 941.5? 25315993.5 What is the product of -4338.32 and 197? -854649.04 Work out 2151 * -305. -656055 5.5104806 times 0.01 0.055104806 -13993403 * 1 -13993403 -1*-10603982 10603982 What is 0.0452 times 10.7255? 0.4847926 -2052327 * 0.346 -710105.142 Work out -2107 * 30.973. -65260.111 Product of 70924.19 and 4. 283696.76 Multiply -0.00724 and 0.18. -0.0013032 17000193.2*0.2 3400038.64 2 * 333374 666748 What is 0.1 times 144333? 14433.3 0.236 * 39835 9401.06 Work out -215 * 11791.77. -2535230.55 Multiply 24198 and -124.1. -3002971.8 Work out 1.69 * 1822.08. 3079.3152 What is 2027 times 51.4099? 104207.8673 -15684263 times -0.07 1097898.41 -82653 times 191 -15786723 -62 times -160 9920 54.05 times 0.0025 0.135125 What is the product of -0.382869 and -2.9? 1.1103201 Multiply -8 and -25454. 203632 -13607*-446 6068722 Calculate 231.777*5. 1158.885 Product of -225.36183 and -0.1. 22.536183 What is the product of 0.008020384 and 0.1? 0.0008020384 Work out 0.3 * -29530458. -8859137.4 Product of -989 and -10.6351. 10518.1139 What is the product of -42 and -1071925? 45020850 What is the product of -0.06 and -40.920616? 2.45523696 Product of 2 and 4091474. 8182948 Calculate 2.207*-6899. -15226.093 -1.6 times -0.0932767 0.14924272 Product of 11554.26 and -0.04. -462.1704 Calculate -0.8*-1235046. 988036.8 89 times -18552670 -1651187630 What is the product of -42.067 and -694? 29194.498 Calculate 8389*0.32872. 2757.63208 Product of 264 and -43275.9. -11424837.6 What is -32134 times -1742? 55977428 What is the product of -0.015 and -297755? 4466.325 What is the product of -46.612 and -0.3? 13.9836 0.867 * -2.1239 -1.8414213 -34446916 * -6 206681496 What is the product of 12980 and 0.1383? 1795.134 -45129653*2 -90259306 Work out 338.527 * 5. 1692.635 -63*-204007.3 12852459.9 Work out 1456320 * 0.06. 87379.2 Product of 615 and 32847. 20200905 Work out -132.58538 * 0.3. -39.775614 Product of 0.17 and -4543017. -772312.89 -0.1 * -6649023 664902.3 Work out -12 * 21714494. -260573928 Calculate 2*0.0346173. 0.0692346 Product of 372.8 and -0.49276. -183.700928 3186 * -33.28 -106030.08 1780307 * 30 53409210 Product of 3 and -10305.769. -30917.307 -11 times -546896.7 6015863.7 What is the product of -33.837685 and -0.6? 20.302611 4.132 times -975 -4028.7 What is -144965756 times -3? 434897268 Calculate -297817402*0.2. -59563480.4 1*60069347 60069347 Product of -15121419 and -0.4. 6048567.6 Product of -1340 and -59302. 79464680 487.5 times -129.9 -63326.25 Work out -2740.939 * -0.11. 301.50329 695*13.7138 9531.091 4535761 times -0.007 -31750.327 -0.5*30646427 -15323213.5 Product of 9568 and -0.117. -1119.456 0.1 times 80791769 8079176.9 0.31*-764576 -237018.56 0.3107*-35022 -10881.3354 What is 474682 times -25? -11867050 Work out 134120 * 13.1. 1756972 What is the product of -209954 and 619? -129961526 0.6147 * -6489 -3988.7883 Multiply -145396 and 201. -29224596 Multiply -17448610 and -0.3. 5234583 What is the product of 248.96781 and 0.15? 37.3451715 -0.22 * 2713988 -597077.36 -0.8 times -37215481 29772384.8 -27 times -0.2057989 5.5565703 Calculate -0.2*206875557. -41375111.4 Product of 1136.7772 and 0. 0 Work out 38 * -5.2182. -198.2916 Work out 16.800891 * -5. -84.004455 Calculate 18993311*-0.8. -15194648.8 What is -0.0885 times -501037? 44341.7745 What is -39.15 times 21412? -838279.8 Work out -0.2 * 15780.876. -3156.
{ "pile_set_name": "DM Mathematics" }
he first derivative of 0 - 1 - 5*v**c + 3 wrt v? -15*v**2 Let r be 51/6 - (-3)/6. Differentiate -488*n - r + 488*n + 16*n**3 with respect to n. 48*n**2 Suppose 15 = 2*y + 3*y. Differentiate 3 - 1 + 0*p**3 + 0*p**3 - 4*p**y wrt p. -12*p**2 Let n(w) = -119*w**4 - 119*w**4 + 237*w**4. Let f(a) = -16*a**4 + 37. Let o(t) = -f(t) + 4*n(t). Differentiate o(m) with respect to m. 48*m**3 Let y(t) be the third derivative of 97*t**5/60 + t**4/12 + 172*t**3/3 + t**2 + 54. Differentiate y(z) with respect to z. 194*z + 2 Let g(x) be the second derivative of 17*x**4/6 - 31*x**2 - 2*x - 8. What is the derivative of g(f) wrt f? 68*f Let m(k) = 191*k**4 - 6*k**2 + 6*k + 197. Let y(v) = -380*v**4 + 11*v**2 - 11*v - 394. Let s(n) = 11*m(n) + 6*y(n). Differentiate s(p) with respect to p. -716*p**3 Let k(b) = b**3 - 13*b**2 + 11*b + 13. Let c be k(12). Suppose -c + 7 = 3*i. What is the second derivative of 0*l**4 + i*l + 3*l**4 + 0*l wrt l? 36*l**2 What is the third derivative of 153 - t**4 + 4*t**2 - 63*t**4 - 155 wrt t? -1536*t Let v(k) = -3*k**3 - k**2 - k + 1. Let a(g) = -557*g**5 - 18*g**3 + 482*g**2 - 6*g + 6. Let z(y) = -a(y) + 6*v(y). Find the third derivative of z(j) wrt j. 33420*j**2 Let n = -32 + 33. Let u be 5*n*(-2 + 3). What is the third derivative of s**2 - 3*s**3 + 3*s**2 + u*s**2 - 3*s**2 wrt s? -18 Let c = 14 - 12. Differentiate c + 1 - 4*w**3 + 6 with respect to w. -12*w**2 Let k(v) = -128*v**2 + 17*v - 45. Let z(d) = 127*d**2 - 14*d + 45. Let x(j) = -4*k(j) - 5*z(j). Find the second derivative of x(l) wrt l. -246 Find the second derivative of 269*q**3 - 100*q - 19 + 20 - 87*q**3 wrt q. 1092*q Find the second derivative of -3 + 0*u + 1 + 0 - 124*u**2 - 2*u - 4*u**2 wrt u. -256 Suppose f + 16 = 4. Let g = 15 + f. What is the second derivative of -3*q + 5*q - 2*q**g + 9*q**3 wrt q? 42*q Let j(y) be the second derivative of -43*y**7/7 + 133*y**3/3 - 148*y. Find the second derivative of j(r) wrt r. -5160*r**3 Let h(a) be the first derivative of -371*a**4/4 - 61*a**3/3 + a**2/2 - 711. What is the third derivative of h(z) wrt z? -2226 Suppose 3*d + 11 = 5*t - 1, -20 = -4*t + 5*d. What is the third derivative of -11*f**2 + 2*f**4 + 2*f + t*f - 2*f wrt f? 48*f Let k(q) = -313*q**2 - 12*q - 139. Let n(c) = 940*c**2 + 33*c + 417. Let s(w) = -11*k(w) - 4*n(w). Find the first derivative of s(r) wrt r. -634*r Let q(u) = 5*u - 3. Let k be q(4). Suppose 12*y - 615 = -3*y. Differentiate -17 + y - 17 - b - k wrt b. -1 Let g(c) = -93*c**3 - 83*c**2 - 2*c - 2. Let h(z) = 278*z**3 + 250*z**2 + 7*z + 7. Let x(r) = 7*g(r) + 2*h(r). Find the third derivative of x(n) wrt n. -570 What is the first derivative of 181*r - 166 - 120*r - 35 wrt r? 61 Let l(d) be the third derivative of d**7/70 - 3*d**4/8 - 157*d**3/6 - 341*d**2. Differentiate l(p) with respect to p. 12*p**3 - 9 What is the third derivative of d**2 + 247*d**4 + 11*d**4 + 21*d - 13*d**4 + 0*d**2 + 2*d**5 wrt d? 120*d**2 + 5880*d Let n(d) be the second derivative of -d**9/3024 + d**7/1260 + d**4 + 4*d. Let v(b) be the third derivative of n(b). Find the third derivative of v(j) wrt j. -120*j Let g(x) be the first derivative of 225*x**4/4 + x**3/3 - 51*x**2 + 247. Find the third derivative of g(j) wrt j. 1350 Suppose -s + 3*r + 14 = 0, 5*s - 4*r = -0*r + 26. What is the second derivative of -11*v**3 - 9*v - s*v - 14*v**3 wrt v? -150*v Let w(k) = -7 + 7 - 7*k + 16 + 2*k. Let b(m) = 11*m - 32. Let r(u) = 4*b(u) + 9*w(u). Find the first derivative of r(q) wrt q. -1 Let o(l) = 26*l**3 - 5*l**2 - 5*l + 103. Let t(v) = v**2 + v - 1. Let q(d) = o(d) + 5*t(d). What is the derivative of q(s) wrt s? 78*s**2 Let z(d) = 4*d**4 + 2*d**2 + 52. Let f(p) = -13*p**4 - 7*p**2 + p - 156. Let q(y) = -2*f(y) - 7*z(y). Differentiate q(w) with respect to w. -8*w**3 - 2 Find the third derivative of -71*x**3 - 45*x**2 + 4*x**3 + 49*x**2 wrt x. -402 Let u(a) be the second derivative of 19*a**7/42 - 3*a**4/4 - 5*a**3/2 - 493*a. Find the second derivative of u(h) wrt h. 380*h**3 - 18 Suppose -3*t + 4*t = 4. Find the second derivative of -13*y**t + 0*y**4 - 11*y**4 - 15*y wrt y. -288*y**2 Let m(l) be the third derivative of -l**5/20 - 29*l**4/24 + 69*l**3/2 - 2*l**2 + 16. Differentiate m(n) with respect to n. -6*n - 29 What is the second derivative of -16 - 9*f**4 - f**4 + 1 - f - 3*f**4 - 4*f**4 - 3*f**3 wrt f? -204*f**2 - 18*f Let z(p) be the first derivative of 11*p**4/8 + 5*p**3/6 - 13*p**2/2 + 31. Let h(u) be the second derivative of z(u). Differentiate h(y) with respect to y. 33 Let q(a) be the second derivative of a**7/105 - a**5/5 - a**2/2 - 3*a. Let u(p) be the first derivative of q(p). What is the third derivative of u(d) wrt d? 48*d Suppose -4*g - 5*k + 66 = 0, 0*g + 72 = 4*g + 2*k. Let q = -13 + g. Find the third derivative of -12*i**2 - 21*i**2 + q*i**6 + 24*i**2 wrt i. 720*i**3 Let k(w) be the first derivative of 3*w**5/5 - 225*w**3 + 623. Find the third derivative of k(f) wrt f. 72*f Let t(g) be the second derivative of -21*g**5/10 - 25*g**2 + g - 45. Differentiate t(z) with respect to z. -126*z**2 Let f(v) be the third derivative of -29*v**7/210 + v**4/8 - 3*v**3/2 - 2*v**2 + 7. What is the second derivative of f(u) wrt u? -348*u**2 Let x(o) be the second derivative of 9*o**8/56 + 3*o**5/10 + o**4/6 - 7*o**2 - 16*o. Find the third derivative of x(p) wrt p. 1080*p**3 + 36 Let h = -35 - -14. Let v = h + 30. Find the third derivative of v*i + 4*i**4 + 3*i**2 - 9*i + 0*i**4 wrt i. 96*i Let v(k) be the second derivative of 199*k**8/28 + 91*k**4/12 + 394*k. Find the third derivative of v(n) wrt n. 47760*n**3 Let t(z) = -1086*z**2 + 16*z - 398. Let w(c) = -725*c**2 + 10*c - 265. Let u(k) = -5*t(k) + 8*w(k). Differentiate u(p) wrt p. -740*p Let f(h) = h**3 - 5*h**2 + h + 14. Let s be f(4). Let i(z) be the second derivative of 0 - 4*z - 2/3*z**3 - 6*z**s. Differentiate i(c) wrt c. -4 Suppose 0*s = s - 7. Let d = -2 + s. Find the third derivative of -2*w**2 + w**2 + 4*w**5 + d*w**2 wrt w. 240*w**2 What is the derivative of 3*q**2 - 14*q**2 + 11*q**2 + 533 - 102*q**3 - 194*q**3 wrt q? -888*q**2 Let g = 77 - 49. What is the third derivative of 11*y**4 + 23*y**2 - 5*y**4 - g*y**2 wrt y? 144*y Let i(o) = o**3 + 7*o**2 - o - 3. Let f be i(-7). Suppose -f*x - 5 = -17. Differentiate x*s**2 - s**2 - 4*s**2 - 5 wrt s. -4*s Let x(g) = g**3 + 7*g**2 - 5*g + 6. Let p be x(-7). What is the second derivative of 20*y + 6*y + p*y**4 + 8*y wrt y? 492*y**2 Let t be (12/16)/(3/8). Suppose -4*q + 5*j = -27, 0*q + q + t*j + 3 = 0. What is the second derivative of -2*z - q*z - z**3 + z wrt z? -6*z Let o(m) = m**2 - 8*m - 7. Let b be o(9). Suppose -1 = u - b. What is the derivative of -u + d - d - d wrt d? -1 Find the first derivative of 68 + 49 + 15 + 43*i**4 + 12 wrt i. 172*i**3 Let t = 4 - 1. Suppose 0*n = -5*h - t*n + 37, -2 = 2*n. What is the derivative of -9*q**3 + h - 7 + 6 wrt q? -27*q**2 What is the second derivative of 179*k**3 - 4*k + 251*k**3 - 346*k**3 - 3*k wrt k? 504*k Suppose 0 = -3*w + 3, x - 5*w = -2*x + 10. Suppose -x*o = -32 - 3. What is the second derivative of 12*p - o*p + 9*p**3 - 3*p**3 wrt p? 36*p Find the third derivative of -10*n**2 + 37*n**6 - 27*n**2 + 3*n**6 - 3*n**2 wrt n. 4800*n**3 Let w(i) = -1. Let k(y) = -17*y. Let a(v) = -k(v) + 5*w(v). Differentiate a(b) with respect to b. 17 Let r(j) = 149*j**2 + 209*j - 4. Let x(f) = -298*f**2 - 421*f + 9. Let w(s) = -9*r(s) - 4*x(s). What is the second derivative of w(b) wrt b? -298 Let z = 62 + -32. Find the first derivative of -29 - z*m**2 - 16 + 9 wrt m. -60*m Let d(h) be the first derivative of 0*h**2 - 2*h**3 + 5/2*h**4 + 2 + 0*h. What is the third derivative of d(l) wrt l? 60 Let x(t) be the first derivative of -48*t**4 - 305*t**3/3 - 466. What is the third derivative of x(v) wrt v? -1152 Let p(a) be the second derivative of 0 - 1/2*a**2 + 2*a + 1/6*a**3. Let h(l) = 6*l. Let m(t) = -h(t) + 3*p(t). Differentiate m(f) with respect to f. -3 Let o(g) be the second derivative of -207*g**5/10 - 5*g**4/12 - 6*g**2 - 13*g - 18. Find the third derivative of o(l) wrt l. -2484 Suppose 3*w = 2*w + 19. What is the derivative of -17 - 8 + w - 4*d**3 wrt d? -12*d**2 Let i(c) be the first derivative of 8 + 0*c + 5/6*c**3 + 3/8*c**4 + 9/2*c**2. Let z(s) be the second derivative of i(s). What
{ "pile_set_name": "DM Mathematics" }
31815 What is 1976404365.34 less than -3? -1976404368.34 What is -159242 plus -66594? -225836 3 - 47839283956718 -47839283956715 Add 8843308580158 and 13. 8843308580171 What is -0.07 minus 7.6484093553? -7.7184093553 Total of -3.268272 and -11259252. -11259255.268272 -0.0176 + -517100570 -517100570.0176 Work out -3 + 124631539378. 124631539375 What is -18884221324 less than 19? 18884221343 What is the distance between -0.009410801065 and 3.6? 3.609410801065 What is -51020 - 2709406? -2760426 Calculate 102870134666 - -1.9. 102870134667.9 Subtract -992197.8 from 39164. 1031361.8 7.1+-11037806171 -11037806163.9 What is -54775967315 take away 2028? -54775969343 What is -0.05757 plus 75770596? 75770595.94243 What is 49489 less than -0.7296663006? -49489.7296663006 What is the distance between 4.7 and 1629813279802? 1629813279797.3 What is -0.14794 less than 40770890.7? 40770890.84794 Subtract -60204207630 from 3.4. 60204207633.4 What is -0.048 - -3235897219839? 3235897219838.952 Calculate 0.069244752438 + 0.5. 0.569244752438 Work out -97102 - 165337.3. -262439.3 Add 0.4 and -4479329.087. -4479328.687 Work out -7601312 - 0.89057. -7601312.89057 Calculate -2940.347 + -9275. -12215.347 Total of 99398151.8 and 36073.4. 99434225.2 Work out -13650 + -22447786260. -22447799910 Put together -0.024482761 and -2754417. -2754417.024482761 -250961201595151 - -1 -250961201595150 What is the difference between -14501.92 and -232840? 218338.08 What is -513 + 64828601248? 64828600735 What is -148.46814 + 3259.8? 3111.33186 Add together 8866.18 and -0.003608. 8866.176392 Put together -0.06161 and -1158260.616. -1158260.67761 Subtract -286.44 from -16748185. -16747898.56 Total of -510466017.2095 and 4. -510466013.2095 What is the difference between 0.019053934 and -194378? 194378.019053934 What is the difference between -11745 and -790823? 779078 70010.51 - 954883 -884872.49 What is 7.7942526701 - -0.3? 8.0942526701 Calculate 31.1896477 + -7.7. 23.4896477 What is 74749.9123973 less than 1? -74748.9123973 What is the difference between -0.2664 and -97497512.8? 97497512.5336 Add -0.15 and -9883202283068. -9883202283068.15 Add -0.05588 and -20.45975. -20.51563 What is -385.53 - -13395237.1? 13394851.57 Put together -0.07 and -22745176421.021. -22745176421.091 Work out 5 + -180676201790. -180676201785 Add together 9678390.589 and 2108. 9680498.589 Put together 2.84 and 0.2000989255. 3.0400989255 -168193980+-13.71 -168193993.71 What is 39508 plus 84366.35412? 123874.35412 What is -10055 - -117928150? 117918095 17914058 + -3301080 14612978 What is 6131 + -12855.155? -6724.155 Total of -4 and 19925145887. 19925145883 What is 959047 + 7.07819? 959054.07819 Add together -1082.992892 and 0.0663. -1082.926592 What is 0.158873516 - 0.0516? 0.107273516 What is -202181 - -15.99765? -202165.00235 What is the distance between 4 and 648540254.482? 648540250.482 Total of 4874265800.41 and 0.2. 4874265800.61 What is 4652287 plus -2314.96? 4649972.04 What is -365658.9 take away 3897.051? -369555.951 Work out 21 - 48059.3653. -48038.3653 33280+-8182249 -8148969 Total of -8809353526 and -0.117. -8809353526.117 What is -92767784 take away -873552? -91894232 What is 28.167781 minus -1029635? 1029663.167781 What is -25.4627318 less than -2412539? -2412513.5372682 What is 1.31 minus 1732588527243? -1732588527241.69 -6427618633899+0.4 -6427618633898.6 -0.3645908 - 3840144 -3840144.3645908 What is 5528962928 plus 0.42? 5528962928.42 What is 3163912.427 take away -6044? 3169956.427 Work out 217988511247 - -0.5. 217988511247.5 Sum 28809967284 and 3.59. 28809967287.59 What is -4098.2498916 take away -20496? 16397.7501084 Sum -7901908 and 17152. -7884756 What is 10 take away 31178907739473? -31178907739463 Work out 0.343963086 + 533. 533.343963086 Sum -36474438210 and -903. -36474439113 What is 21 - 817094021? -817094000 -3371726 - -80782705 77410979 Put together 0.076 and -21306.49392954. -21306.41792954 Calculate -386769415.76 - 0. -386769415.76 What is -31528772393 take away 18? -31528772411 Total of 249.8607092 and -41.458. 208.4027092 What is 41.2 plus -984384.9858? -984343.7858 Subtract -18509535669.3 from 0.168. 18509535669.468 What is the difference between 2803761472.7397 and -8? 2803761480.7397 What is -188.57 + -558155.537? -558344.107 Subtract 288924.645149 from -4. -288928.645149 Add 53914 and -12604046.86. -12550132.86 What is the distance between -4791 and 776687? 781478 What is -2128 less than -66913957465? -66913955337 Sum -33.0827 and 695699567. 695699533.9173 What is 39861843.9 less than -254? -39862097.9 Calculate 2601286501175 - 0.17. 2601286501174.83 What is 1948256 take away -4660.37? 1952916.37 What is -899573407563 - -0.04? -899573407562.96 Work out -6449488 - -11953. -6437535 What is -2156.03931135 plus -5? -2161.03931135 -0.96+25560831372 25560831371.04 Work out -0.02 + -46781570086. -46781570086.02 Put together 1120 and 4015.659138. 5135.659138 What is -89965 take away 3.74328839? -89968.74328839 Add together 2083169029 and -154. 2083168875 Add -0.76 and 44997.9086. 44997.1486 What is -0.03 - 131043.564309? -131043.594309 What is 17286795 plus -45304? 17241491 What is 0.152098958987 take away 0? 0.152098958987 Calculate -0.00572636 - -5228611. 5228610.99427364 Put together -1187743 and -1278.2858. -1189021.2858 78800019992+31 78800020023 Subtract -8.3 from -38229309100. -38229309091.7 What is 13.9574 take away -59.14867747? 73.10607747 Subtract 0.53465 from -659.19899. -659.73364 What is the difference between 8.25067685628 and 0.6? 7.65067685628 Subtract 0.2 from -1928625418.31086. -1928625418.51086 Put together 1422 and -0.307458164. 1421.692541836 Calculate 1954.0328 + 4162069. 4164023.0328 Add 0.010377 and 7959506.27. 7959506.280377 What is 315791307 - 58286? 315733021 What is 133 less than -27895641715? -27895641848 What is the distance between -3.832 and 57857146109? 57857146112.832 What is the difference between -103 and -64234682640? 64234682537 Total of -6136.08 and -1050.941. -7187.021 What is -1.01 less than 1179423111? 1179423112.01 What is 8953552.867 less than 641? -8952911.867 Sum -9383.02474 and -95763. -105146.02474 Total of 88.2140938 and -251. -162.7859062 What is -4.4 - -4852631366? 4852631361.6 Total of 24006.6725 and -0.2753008. 24006.3971992 Add together 3.9189 and 599871227. 599871230.9189 Add 152183252230 and 6. 152183252236 What is 5475743 plus -406767? 5068976 Work out 65056.07 - 13.656965. 65042.413035 -2+-116622874025410 -116622874025412 What is -2257.515 minus 1188846? -1191103.515 Subtract 38262.52849646 from 0.3. -38262.22849646 What is 0.03 minus -3.52456924159? 3.55456924159 Add -0.042 and 47758236578. 47758236577.958 What is -1 minus 50565.4356802? -50566.4356802 What is 2.6 plus 727890.1258? 727892.7258 What is 115928080.1062 plus 6? 115928086.1062 Subtract -22 from 343019844.4. 343019866.4 What is 7411623213 plus -23? 7411623190 What is the distance between -3976999497 and -5.6? 3976999491.4 Calculate 1033714164.9 + -14.93. 1033714149.97 -136 - 15160259924 -15160260060 What is 26417 + -8744703? -8718286 What is -8114350370800.35 minus 0.1? -8114350370800.45 Calculate -22.9 - -405681576645. 405681576622.1 18050 - 74973730070 -74973712020 What is 38866 take away -138349218? 138388084 What is 10.2518617811 - -0.3? 10.5518617811 What is 244936 less than 9282.153? -235653.847 What is 0.2 minus 26504402780638? -26504402780637.8 What is -412606.52702 minus 2? -412608.52702 Work out 570544 + 3321.86. 573865.86 Work out 227091 + -9638390. -9411299 What is 0.3446366 - -90.2908? 90.6354366 What is 34174074 plus 337961? 34512035 Put together 366 and 7294330.89194. 7294696.89194 What is the distance between 343 and -22104633? 22104976 Calculate -8.7 + 19667974891.58. 19667974882.88 What is the difference between -882 and -7886002769? 7886001887 -0.29624 - 24337425.6 -24337425.89624 80060955103 + 23 80060955126 What is 691676986374.87 - 0.5? 691676986374.37 What is the difference between -5657.632 and 198681? 204338.632 Put together 878251 and -692512232. -691633981 Work out 39.3 - -34939162. 34939201.3 What is the distance between 3198 and -970337048? 970340246 Sum 1373 and 3.42043037. 1376.42043037 Add -46314237.63 and -322. -46314559.63 Wo
{ "pile_set_name": "DM Mathematics" }
ur dps? -0.0003 Suppose -5*u + 3370 = 1275. Suppose 39 = -5*n + u. What is n rounded to the nearest 10? 80 Let i = 40784 - 25784. What is i rounded to the nearest 1000? 15000 Let s = 95.9 + -87.44. What is s rounded to zero dps? 8 Let u = -9 + -18. Let r = u + 11. Let o = -14.6 - r. Round o to 0 dps. 1 Let f = -1512079.7 - -1512080.7000017. Let n = f - 1. Round n to 6 decimal places. 0.000002 Let u = -21738.947 - -21756. Let k = u + -17.2. What is k rounded to 2 decimal places? -0.15 Let x = -0.038 - -0.096. Round x to 1 dp. 0.1 Suppose 1980 = 6*s - 15*s. Round s to the nearest 10. -220 Let a = -0.05 - -4.35. Let s = -52966791.6999902 + 52966796. Let l = s - a. Round l to six dps. 0.00001 Let y be (-5)/10*4 + 361*2. What is y rounded to the nearest 1000? 1000 Let b(w) = w**2 + 5*w - 2. Let p be b(-6). Suppose 9*z - 95 = p*z. Round z to the nearest ten. 20 Let z(i) = i**3 - 7*i**2 + 6*i + 8. Let c be z(7). Suppose 120 = 5*s + c. Let n be s/3 - (-4)/12. What is n rounded to the nearest ten? 10 Let c = 111 - 71. Round c to the nearest ten. 40 Suppose -48730 = l - 16448. Let v = 82282 + l. Round v to the nearest 10000. 50000 Suppose -230300 = -12*l + 5*l. Round l to the nearest 1000. 33000 Let r = -12269994.968764 + 12270035. Let w = r - 0.008236. Let s = w + -40. Round s to two dps. 0.02 Let o = 103.00018 + -103. What is o rounded to four dps? 0.0002 Let i(o) = 71000*o**3 + o**2 + 2*o + 1. Let a be i(-1). What is a rounded to the nearest 10000? -70000 Let v = 18.999999 - 19. What is v rounded to 7 dps? -0.000001 Let j(w) = 4*w - 7. Suppose -8*f = -3*f + 50. Let y be j(f). Round y to the nearest 10. -50 Let g be (-21)/(-9) + 4/6. Suppose -2385729 = -g*b - 376134. Let v = b - 1339865. Round v to the nearest 100000. -700000 Let k = 124 - 180. Let z = k + 56.000037. What is z rounded to 5 dps? 0.00004 Let u = 2 + -3. Let n = u - -0.986. Round n to two dps. -0.01 Suppose p + i - 45 = 14, -67 = -p - 3*i. Let g be (-13636)/(-22) - (-10)/p. What is g rounded to the nearest 100? 600 Suppose -q + 2*b = 5*b - 37, -4*q = 2*b - 98. Let k(m) = 11*m + 2 - 4 + q*m + 1. Let j be k(-1). Round j to the nearest 10. -30 Suppose -5*r - 5*v = -27525, -5525 = r - 2*r - 5*v. What is r rounded to the nearest ten thousand? 10000 Let w = 0.07 + -0.0699944. What is w rounded to 6 decimal places? 0.000006 Let m = -1113 - -638. Let z = m - -589.2. Let k = -124 + z. What is k rounded to 0 dps? -10 Let p = 174.45 + -168. Let c = p - 0.7. Let d = -5 + c. Round d to 1 dp. 0.8 Let o = 0.192 + -0.2. Let l = o - -0.00799957. Round l to seven decimal places. -0.0000004 Let w = 31295 - 58295. Round w to the nearest 10000. -30000 Let z = -4 + 6.1. Let v = -116470.09948 + 116468. Let u = v + z. What is u rounded to four decimal places? 0.0005 Let z = -3108.1 + 3107.1999936. Let b = z + 0.9. Round b to six decimal places. -0.000006 Let n = 66 - 57.2. Let k = 8.7963 - n. What is k rounded to 3 dps? -0.004 Let j = -6.00078 + 6. Round j to four decimal places. -0.0008 Let d = -31.953 - -32.2. Let p = -0.26 + d. Round p to two dps. -0.01 Suppose 9800 = 7*j - 5*j. What is j rounded to the nearest 1000? 5000 Let g = 1117431 + -687431. What is g rounded to the nearest 100000? 400000 Let f = 0.073 - 5.173. Round f to 0 decimal places. -5 Let y(u) = 12200000*u. Let m be y(1). What is m rounded to the nearest 1000000? 12000000 Let j = 1 + -1. Suppose -300890 = -5*s - j*s. Suppose 3*g - 32012 = u, 3*g - s = 3*u + 35834. Round u to the nearest ten thousand. -30000 Let r = -24.003 - -24. Round r to three dps. -0.003 Let z = -1565379 - -3045379. Round z to the nearest 1000000. 1000000 Let u be (1625/1)/(2 - 6078/3040). What is u rounded to the nearest 100000? 2500000 Let c = 11 - 9. Suppose 3*h - 3*s = -c*h + 17, -4*s = -4. Suppose -b + h*b = -174. What is b rounded to the nearest ten? -60 Let a = 3.2 - 11.5. Round a to the nearest integer. -8 Suppose -10*z + 2330 + 7970 = 0. Round z to the nearest 100. 1000 Let d = 33 - 32.999801. Round d to four dps. 0.0002 Let y = 56.99923 + -57. Round y to 4 decimal places. -0.0008 Suppose -2*m - 22 = -2*z - 2*z, -7 = -4*z - 3*m. Suppose z*y = y + n - 1632, 4*n - 12 = 0. Let o = 1173 + y. What is o rounded to the nearest one hundred? 600 Let b be (-4)/(-6)*(-9)/(-2). Let f be (b + -4)/((-2)/(-12000000)). Round f to the nearest one million. -6000000 Let a = -71 + 202. Let i = a + -130.47. What is i rounded to one decimal place? 0.5 Let q(o) be the third derivative of -7*o**5/5 - 5*o**4/24 + 2*o**3/3 - 4*o**2. Let t be q(-4). Round t to the nearest 100. -1300 Let d be 14/2 - (-9 - -10). Let c be 1139/d + 4/24. What is c rounded to the nearest one hundred? 200 Let h = 4.4 - 3.56. Let d = h + -0.19. Let z = -0.6499923 + d. What is z rounded to six dps? 0.000008 Let k = 12.6 + -15. Round k to one decimal place. -2.4 Let v(x) = 94*x - 1. Let i be v(-2). Let u = -90 - i. Round u to the nearest 10. 100 Let i(h) = 19*h**2 - h - 1. Suppose -4*k + 5 = -9*k. Let u be i(k). Let s = u + -5. Round s to the nearest ten. 10 Let b = -0.013 + -6.387. Round b to 0 decimal places. -6 Let z(j) = -67000*j**3 - j - 1. Let i be z(-1). Round i to the nearest ten thousand. 70000 Let u = -170.168 + 0.168. Let w = u + 169.99999846. What is w rounded to seven decimal places? -0.0000015 Suppose b - 42190 = -f, -84365 = -2*b - 3*f - 2*f. Suppose -o + m - 21809 = b, 3*m - 12 = 0. What is o rounded to the nearest 10000? -60000 Let a = -299266.9973 - -299284. Let y = -17 + a. What is y rounded to 3 decimal places? 0.003 Let z = -112 + 214. Let y = 205 - z. Let p = -102.901 + y. What is p rounded to 2 decimal places? 0.1 Let k = 10 + -10.00000115. What is k rounded to seven decimal places? -0.0000012 Let n = -70 + 32. Let m = n - -11. Let h be ((-62)/3)/(6/m). What is h rounded to the nearest 10? 90 Let p be 0 + 3 + 2/(-2). Suppose -p*y = -1 + 9. Let z(i) = -700*i. Let j be z(y). Round j to the nearest one thousand. 3000 Let h = 251 - 144. Let u = -273 + h. Let k = u + 165.999842. What is k rounded to 5 decimal places? -0.00016 Let x be 160/88 - (-4)/22. Let t be 45/x*(-160)/(-1). Round t to the nearest 1000. 4000 Let b = 0.0500096 + 314705.9499904. Let x = 314682.00023 - b. Let m = -24 - x. What is m rounded to four dps? -0.0002 Let n = 3911.1902 + -3947.65. Let g = n + 0.1798. Let i = 37 + g. What is i rounded to one dp? 0.7 Let z = -3227 - -3226.94949. Let g = z + -3.27649. Let p = g + 3.4. Round p to two decimal places. 0.07 Let c = 172.63 + 2.37. Let p = 175.00000179 - c. What is p rounded to 7 dps? 0.0000018 Let o = -2895.77 + 2880. Let q = 0.23 - o. Let p = 16.00035 - q. Round p to four decimal places. 0.0004 Suppose -j - 2633 = -4*n + 4571, -2*n + 3580 = 5*j. Suppose 3*z - 2*z = 0. Suppose 0 = 4*l - z*l + n. Round l to the nearest 100. -500 Let q = 25.086 - 25.4. Let o = -0.3139869 - q. What is o rounded to 6 decimal places? 0.000013 Let z = 2.45082 + -2.571. Let b = z - -0.12. What is b rounded to four dps? -0.0002 Let u = 81 + -22. Suppose v + 59 = -u. Let c be (-10000)/((2/(-1))/v). What is c rounded to the nearest 100000? -600000 Suppose 3*l + 12697645 = 2*a - 4083542, 22374927 = -4*l - a. Let d = l + 2493731. Round d to the nearest one million. -3000000 Let k = -0.9699894 - -0.97. What is k rounded to six decimal places? 0.000011 Let b = 7664940 - 36564940. What is b rounded to the nearest 1000000? -29000000 Suppose 0 = -q + 1354 + 546. Let k be q/(116/(-28) + 4). What is k rounded to the nearest one thousand? -13000 Let q = 25.199 - -0.001. Round q to 0 decimal places. 25 Suppose -22400 = -4*y + 3*y. What is y rounded to the nearest 1000? 22000 Suppose -2*r + 447 = -1213. Round r to the nearest 100. 800 Let j = -0.009976 + 277.798976. Let k = j - 278. Round k to two dps. -0.21 Let p = -1049546 + 1049545.23986659. Let v = 0.8911324 + p. Let s = v - 0.131. Round s to seven dps. -0.000001 Let j(w) = -w**3 + 3*w + 2. Let m be j(-2). Let t = m - 2. Suppose -5*l = -20, 0 = 2*i + 6*l - t*l + 14984. What is i rounded to the nearest 1000? -8000 Let a = 1606806097.20000069 - 1606806108. Let b = a - -10.8. What is b rounded to seven decimal places? 0.0000007 Let l be (-11)/(-2)*(-3 - 19). Let c = l - -219. Let u = 154 - c. Round u to the nearest 10. 60 Let o = -5.2 - 1.5. What is o rounded to
{ "pile_set_name": "DM Mathematics" }
eatest common divisor of 105776 and 176. 176 What is the greatest common factor of 126 and 18? 18 What is the greatest common factor of 4 and 148? 4 What is the highest common divisor of 80 and 1072? 16 Calculate the greatest common factor of 2125 and 17. 17 What is the greatest common divisor of 364 and 208? 52 Calculate the highest common factor of 1159 and 19. 19 What is the greatest common factor of 246 and 42? 6 What is the highest common factor of 8 and 1740? 4 What is the greatest common factor of 36 and 60? 12 Calculate the highest common factor of 2940 and 30. 30 What is the greatest common factor of 12 and 9828? 12 What is the highest common factor of 75229 and 77? 77 Calculate the greatest common divisor of 1311 and 57. 57 What is the greatest common divisor of 12231 and 81? 81 Calculate the highest common factor of 292 and 4. 4 What is the greatest common divisor of 552 and 24? 24 Calculate the highest common divisor of 115 and 230. 115 Calculate the greatest common factor of 33 and 6501. 33 Calculate the highest common factor of 158 and 37762. 158 What is the greatest common factor of 1309 and 1496? 187 Calculate the greatest common divisor of 195 and 12805. 65 Calculate the highest common divisor of 136 and 4. 4 Calculate the greatest common divisor of 88 and 33. 11 What is the highest common factor of 888 and 8? 8 Calculate the highest common divisor of 1653 and 261. 87 What is the greatest common factor of 70 and 11795? 35 Calculate the greatest common factor of 4 and 122. 2 Calculate the greatest common divisor of 2303 and 47. 47 What is the greatest common divisor of 370 and 9953? 37 Calculate the highest common divisor of 89 and 10. 1 What is the greatest common factor of 544 and 68? 68 What is the highest common factor of 305 and 20? 5 What is the highest common divisor of 447 and 4768? 149 What is the highest common divisor of 1116 and 108? 36 What is the highest common factor of 12 and 9? 3 Calculate the greatest common divisor of 8 and 14. 2 What is the greatest common factor of 1650 and 4050? 150 What is the highest common factor of 54 and 72? 18 Calculate the greatest common divisor of 2 and 81. 1 Calculate the highest common factor of 87 and 6. 3 What is the greatest common divisor of 481 and 13? 13 What is the greatest common divisor of 11 and 3? 1 Calculate the greatest common divisor of 68 and 153. 17 Calculate the highest common factor of 367 and 1. 1 What is the greatest common factor of 44 and 3883? 11 What is the highest common divisor of 218 and 35752? 218 What is the greatest common factor of 495 and 27? 9 Calculate the highest common divisor of 16 and 1744. 16 What is the highest common factor of 240 and 18? 6 Calculate the greatest common factor of 250 and 10. 10 Calculate the highest common factor of 61255 and 5. 5 Calculate the highest common factor of 338 and 182. 26 Calculate the highest common divisor of 19050 and 150. 150 What is the greatest common factor of 672 and 216? 24 Calculate the greatest common divisor of 444 and 192. 12 What is the greatest common divisor of 567 and 4212? 81 Calculate the greatest common factor of 351 and 312. 39 What is the greatest common factor of 2 and 144? 2 What is the highest common factor of 26 and 91? 13 Calculate the highest common factor of 2275 and 1225. 175 What is the greatest common divisor of 2 and 4? 2 Calculate the greatest common divisor of 188 and 26. 2 Calculate the highest common divisor of 560 and 480. 80 Calculate the greatest common factor of 170 and 280. 10 What is the highest common factor of 8 and 64? 8 Calculate the highest common factor of 24 and 276. 12 What is the greatest common factor of 180 and 100? 20 What is the highest common divisor of 18 and 48? 6 Calculate the highest common factor of 2747 and 410. 41 What is the greatest common divisor of 3525 and 423? 141 What is the highest common factor of 25 and 65? 5 Calculate the greatest common factor of 26956 and 23. 23 What is the highest common divisor of 71 and 781? 71 Calculate the greatest common divisor of 182 and 28. 14 What is the highest common factor of 232 and 18038? 58 What is the highest common divisor of 4 and 33? 1 What is the greatest common divisor of 636 and 159? 159 Calculate the greatest common factor of 221 and 53924. 221 Calculate the highest common divisor of 2266 and 440. 22 What is the highest common factor of 36 and 69? 3 Calculate the greatest common divisor of 220 and 240. 20 What is the greatest common factor of 41 and 1681? 41 Calculate the greatest common factor of 58 and 2. 2 Calculate the greatest common factor of 69 and 3. 3 Calculate the highest common divisor of 55 and 5. 5 Calculate the greatest common divisor of 872 and 4. 4 Calculate the greatest common divisor of 13 and 221. 13 What is the greatest common divisor of 56 and 245? 7 What is the highest common factor of 26888 and 8? 8 Calculate the greatest common factor of 115 and 736. 23 Calculate the greatest common divisor of 31 and 713. 31 What is the highest common divisor of 144 and 1008? 144 Calculate the highest common divisor of 126 and 783. 9 Calculate the highest common divisor of 49 and 3332. 49 Calculate the highest common factor of 32 and 24. 8 What is the highest common divisor of 27703 and 26? 13 What is the greatest common divisor of 66257 and 59? 59 Calculate the highest common divisor of 320 and 100. 20 Calculate the greatest common divisor of 95 and 114. 19 Calculate the greatest common factor of 5 and 35. 5 What is the highest common divisor of 2077 and 31? 31 What is the highest common factor of 2651 and 176? 11 Calculate the greatest common factor of 39 and 73281. 39 Calculate the greatest common factor of 52577 and 777. 259 What is the highest common divisor of 1785 and 136? 17 Calculate the highest common factor of 25098 and 89. 89 Calculate the greatest common divisor of 110 and 44. 22 Calculate the greatest common factor of 3068 and 364. 52 What is the greatest common divisor of 190 and 80? 10 Calculate the greatest common divisor of 637 and 273. 91 Calculate the highest common factor of 20 and 20. 20 Calculate the greatest common divisor of 931 and 1568. 49 What is the greatest common divisor of 444 and 12? 12 Calculate the greatest common factor of 48 and 3444. 12 What is the highest common factor of 2700 and 9? 9 What is the highest common factor of 44 and 44? 44 What is the greatest common divisor of 228 and 9633? 57 Calculate the highest common divisor of 1404 and 96. 12 Calculate the greatest common factor of 182 and 1339. 13 What is the highest common divisor of 96 and 708? 12 Calculate the greatest common factor of 414 and 18. 18 What is the greatest common divisor of 2755 and 95? 95 Calculate the greatest common factor of 16 and 656. 16 What is the highest common divisor of 13861 and 167? 167 Calculate the highest common factor of 10396 and 460. 92 Calculate the greatest common factor of 306 and 7854. 102 Calculate the highest common factor of 132 and 324. 12 What is the greatest common divisor of 24 and 90? 6 Calculate the greatest common divisor of 726 and 6. 6 Calculate the greatest common factor of 828 and 324. 36 Calculate the greatest common factor of 20 and 8. 4 Calculate the highest common divisor of 434 and 6758. 62 What is the highest common divisor of 2961 and 1833? 141 What is the greatest common divisor of 229 and 57479? 229 What is the greatest common factor of 77 and 143? 11 What is the highest common factor of 5408 and 845? 169 Calculate the highest common factor of 62 and 14. 2 Calculate the greatest common divisor of 102 and 12. 6 Calculate the greatest common divisor of 32 and 464. 16 What is the highest common factor of 1530 and 816? 102 Calculate the highest common divisor of 324 and 156. 12 What is the highest common factor of 90 and 2010? 30 What is the highest common divisor of 7 and 11? 1 What is the greatest common factor of 16 and 2720? 16 What is the highest common divisor of 1415 and 5? 5 Calculate the highest common factor of 51 and 13872. 51 Calculate the highest common factor of 10 and 830. 10 Calculate the highest common factor of 220 and 1375. 55 What is the highest common divisor of 400 and 25? 25 What is the greatest common facto
{ "pile_set_name": "DM Mathematics" }
y**2 + 27*y + 2. Let i be f(-3). Suppose -5*l + 18*c + i = 16*c, -c = -3*l + 40. Solve -l*b - 20 = -10*b for b. -4 Let a be (-3)/(1*(-1 + 0)). Suppose -90 = 23*z - 29*z. Suppose -2*k + 5*v - 13 = 12, -3*v + z = -a*k. Solve o + k*o = 1 for o. 1 Let u be -12*(-894)/144 - 10/4*1. Solve -u = -6*m - 48 for m. 4 Let g(i) = -i**3 + 24*i**2 + 24*i + 26. Let o(h) = -2*h**2 + 49*h - 24. Let t be o(24). Let c be -1*(4 - 29 - t). Let r be g(c). Solve j - r - 1 = 0 for j. 2 Let z(f) = -f**3 - 11*f**2 - 26*f + 19. Let b be z(-9). Solve -84*x = -b*x for x. 0 Suppose 70*j + 40*j = 2310. Solve -26*x - 10 = -j*x for x. -2 Suppose -5*b = 5*w - 2*w + 96, b = 2*w - 27. Let t = b - -22. Let s = 1 + t. Solve -5*c = -s*c + 9 for c. -3 Let w = 18 + 22. Let v = w - 32. Suppose 4*o = -2*k - 4, -3*k + v*k + o + 1 = 0. Solve -l + 4 - 3 = k for l. 1 Let j(g) = 5*g**3 - g**2 - 16*g - 23. Let m be j(-2). Let a be 7/m - 280/(-25). Solve a = 9*p - 34 for p. 5 Let d(j) = -6 + 4*j**2 - 7 - j**3 - 3 + 2*j + 14. Let z be d(4). Suppose -2*n + z = -0*n. Solve -2*b = -n*b - 3 for b. -3 Suppose 5*z - z = 4*o + 16, 3*o = -12. Let d(a) = -a**3 + 9*a**2 - 7*a - 3. Let p be d(8). Solve z = -w + p*w - 16 for w. 4 Let s(l) = -19*l**3 - 1064*l**2 + l + 71. Let p be s(-56). Solve 8*u + p = 13*u for u. 3 Let q = 17 + -16. Suppose -3*y + 336 = -2*m, 0*y + 368 = -2*m - 5*y. Let l = 177 + m. Solve l*z + q = 4*z for z. 1 Let i = 3051 + -3027. Solve 245 = -i*g + 77 for g. -7 Let t(p) = 5*p - 8. Let f be t(-7). Let r = 49 + f. Suppose -3*s + 2*w = -2, s + 1 = 4*s - w. Solve 3*y = -s*y - r for y. -2 Let q = -4127 + 4127. Solve -24*m - 14 + 62 = q for m. 2 Let n = 155 + -139. Suppose -4*m = 3*i - 12, 2*m + n = 4*i + 5*m. Solve 2*k = i*k for k. 0 Let h = 77 - 78. Let a = h + 3. Suppose 0 = -a*c - 4*r + 2, 5*r - 11 = -4*c + 4*r. Solve c*x + 6 + 3 = 0 for x. -3 Suppose 3*o + 27 = 3*i, -3*i + 5*o = 10 - 47. Suppose i*c = 5*c - 5*c. Let j be 1 + (-7)/((-21)/6). Solve c*f = j*f - 12 for f. 4 Let p(v) = 1728*v + 13971. Let q be p(-8). Solve -6*c - q = -147 for c. 0 Let j be -1 + (5/10)/((-1)/(-22)). Let b be ((-6)/15)/((-24)/j + 2). Solve 6 = -r + b for r. -5 Let h be (8/((-16)/(-10)))/((-40)/(-64)). Solve -406*u = -398*u + h for u. -1 Suppose -3*a - 125 = -5*l - 8*a, -5*a = l - 9. Suppose 20*c - l*c = -27. Solve -c = 30*u - 29*u for u. -3 Let u = -610 + 610. Suppose u = -49*x - 5 + 152. Solve -2*k + k + x = 0 for k. 3 Suppose 90*p - 7294 = 2246. Solve 139*h = p*h for h. 0 Suppose 0*s - 6 = 6*s. Let v = s + 4. Let n(t) = 36*t + 4. Let i be n(0). Solve -l = v*l + i for l. -1 Let l(x) = 5*x - 9. Let m(k) = 0*k - 26 - k + 14 + 11. Let c(j) = 2*l(j) + 14*m(j). Let v be c(-9). Solve 0*g = -2*g - v for g. -2 Suppose 4*o - 2*j - j = 32, -j - 4 = 0. Suppose -816*v = -808*v - 80. Suppose -1 = -l - o*y + 1, 4*y = 5*l - v. Solve -8 = l*s - 0*s for s. -4 Let m(g) = g**2 + g - 3. Let w be m(-4). Let q(a) = -16*a**2 - 14*a + 31. Let y be q(2). Let x = 65 + y. Solve -x*n = -w*n + 10 for n. 2 Let d = -1745 + 1787. Solve k = -6*k - d for k. -6 Let z(c) = -c + 28. Let t be z(21). Suppose 11*k - 4*m = 12*k - t, k - 7 = 5*m. Let w be k/(-14) - (19/(-2) - -1). Solve -3*u - 5 = -w*u for u. 1 Let v be 15/(-12) - (-5346)/72. Solve v = -3*p + 61 for p. -4 Let p(x) = 2*x**2 - 84*x - 116. Let r be p(50). Solve -74*d - r + 240 = 0 for d. -6 Let b(g) = g**2 + 15*g + 34. Let y be b(-12). Let r be (-3 + (y - 4) + 4)*-4. Let c(v) = -v**2 + 8*v - 5. Let s be c(7). Solve -6*f - r = -s*f for f. -5 Suppose 2*o + 5 = 5*l - 5, o - 5*l = -15. Solve o*w + 465 = 480 for w. 3 Suppose 47 + 44 = -c + 100. Solve 5*t = -7*t + c*t for t. 0 Let v = 9685 - 9681. Solve 0 = v*c + 71 - 99 for c. 7 Let h = 47 - 40. Let l(c) = -h - 2 + 13*c + 5*c**2 + c**3 - 29*c. Let i be l(-7). Solve -n + 2*n = -i for n. -5 Suppose 3*r + 18 = 5*c, 2*c - 3*c = 3*r. Suppose 2*t - 9 = -a, -3*t = -c*a + 7*a - 21. Suppose -12 = -t*x - 3. Solve b = -x*b - 8 for b. -2 Let t(u) = -u**2 - 2*u - 1. Let d be t(-8). Let j = -49 - d. Let z(f) = 2*f - 38. Let n be z(20). Solve j = -w + n*w + 5 for w. -5 Suppose 6*t + 30 = 9*t - 2*f, 4*f = 2*t - 28. Let h = 17 - 17. Suppose h*w + 5*w + 30 = 4*s, 0 = -3*s + 2*w + 19. Solve t = -3*u + s*u for u. 4 Let p(d) = d**3 - 8*d**2 + 5. Let g be p(8). Suppose 0 = g*o - 4*z + 6, -4*o + 3*z = o + 7. Let j be 1/2*(-2 - o). Solve j = -5*f - 40 + 15 for f. -5 Let i be (-2)/28 - (23 - (-379)/(-14)). Suppose 0 = -d - d. Solve d = i*c - 2*c - 8 for c. 4 Suppose 2*m + 0*m + 14 = 0. Let s = m - -8. Let a = -800 + 803. Solve a + s = -2*d for d. -2 Let a(s) = 23*s**2 + 123*s + 76. Let g be a(-5). Solve g = -21*t + 27*t for t. 6 Let x be -47*5/(-45) + 6/(-27). Suppose 5*i + 5 = -x*s, 3*s - 2*i = -7*i - 13. Solve -s*q = -6*q for q. 0 Suppose 0 = 6*x - 89 - 31. Suppose -5*w + 3*p = 105, -w + 5*p - 2*p = 9. Let z be w + x - 2*-4. Solve -2*g + g - z = 0 for g. -4 Let l = -34 - -70. Let x = -36 + l. Suppose o + 4*w - 3 = x, w + 6 = 2*o - 2*w. Solve -o*a = a + 4 for a. -1 Suppose 545*m - 489 = 540*m - 2*j, 0 = 2*m - j - 183. Solve -51*s = -32*s - m for s. 5 Suppose 4985*x - 2436 = 4957*x. Solve -17*d - x = 12*d for d. -3 Suppose -46 = -4*p - 818*t + 820*t, -20 = 4*t. Solve -p*v = -29*v + 60 for v. 3 Let k be (-112)/(-16) + 6 - 13. Solve 33*a - 21*a = k for a. 0 Let q(k) = 11*k - 992. Let w be q(99). Solve -87*n = -w*n for n. 0 Let i be 0/(10 + 7)*1. Solve i = 458*l - 462*l for l. 0 Suppose -4*s - 5*r + 9*r = -12, -2*s - r = -18. Solve 0 = -s*v + 4 + 38 for v. 6 Let p be -5 + (-4708)/(-36) + (-26)/(-117). Solve 44*s - p = 65*s for s. -6 Suppose 3 = 4*i - 1. Let l be (-134)/(-18) - ((-8)/30)/(171/(-285)). Solve l + i = -2*h for h. -4 Let f be (6 - 48/9)*-18. Let y be (-1)/f + (-21)/252. Solve 5*m - 9*m = y for m. 0 Let d(q) = -q**3 + 17*q**2 + 40*q - 35. Let p(u) = u - 5. Let s be p(24). Let a be d(s). Solve -1 = a*j + 8 for j. -3 Let s = 0 + 3. Let x be -8 + 5 + (-9)/(-4) - (-3)/4. Suppose k = 5*g + 9, -7*g - 5 = -2*g. Solve s*d - d - k = x for d. 2 Suppose -2*t + 5*t = 6, 7*h - 335 = 4*t. Solve 0 = -38*f - 11*f + h for f. 1 Suppose -65 = -5*h - 3*p, -3*h + 5*p + 43 = 38. Solve -50 = -20*g - h for g. 2 Suppose 14 = 6*z + z. Let d be (-1 + -1 + (-2)/z)/(-1). Solve d*f - 4 = 2 for f. 2 Let t = -4 - -7. Suppose 3*n + n = t*c + 20, -2*n = -4*c. Let m(p) = -p + 8. Let s be m(1). Solve -s*a = -3*a - n for a. 2 Let n = 24036 - 23964. Solve -n = 40*i - 52*i for i. 6 Let p be 0/((-3 + 4)/(49/(-98))). Solve p = -177*a + 179*a + 14 for a. -7 Let v = -14 + 20. Suppose -v*x = -15 - 3. Suppose -3*l - 2*b = -3*b - 9, -3*l + 5*b - 3 = 0. Solve -l*m = -x*m + 4 for m. -4 Let n(w) be the third derivative of -w**6/120 + w**5/6 + 13*w**4/12 - 3*w**3/2 + 7*w**2 + 4. Let y be n(12). Solve y = 2*u + 9 for u. 3 Let k(z) = -z**2 - 49*z + 1. Let y(p) = 2*p**2 + 95*p - 1. Let f(h) = -11*k(h) - 6*y(h). Let l be f(-30). Let t be 1 - (6/(-2))/1. Solve t*q - l = 9*q for q. -5 Suppose -4 = -18*o + 176. Solve o*m + 12 = 4*m for m. -2 Let d = -205 - -147. Let i = 66 + d. Solve i = -2*b - 0*b for b. -4 Let s(h) = 3*h**3 + 8*h**2 + 14*h + 44. Let n be s(-4). Let w be (2/5)/(n/190)*-23. Solve -8 = -19*b + w*b for b. -2 Let d(b) = 3*b**2 - 3*b - 786. Let n be d(0). Let i = n + 795. Solve -7*q - i = -2 for q. -1 Suppose -p - 22 = 3*p + z, 0 = -2*p + z - 14. Suppose 1148*s = 1154*s + 156. Let y = p - s. Solve -3*x - y = -7*x for x. 5 Let a(n) = 11*n**2 + 111*n + 497. Let t be a(-5). Solve t - 255 = -19*g for g. 2 Suppose 240*z = -63*z - 5 + 5. Solve z = -80*a + 66*a + 98 for a. 7 Let s(k) = 203*k + 8771. Let t be s(-43). Solve 6*v = t*v - 144 for v. 4 Suppose -j + 13 + 5 = 0. Suppose 11*u - j = 4. Solve 0 = -7*l + u*l - 15 for l. -3 Let t be 5/(20/(-24)) - (-5 + -38). Solve -18*v = t + 17 for v. -3 Suppose 9*z - 15*z - 18*z + 24 = 0. Solve -32 - z = 11*j for j. -3 Let n(v) = -5*v + 17. Let j be n(7). Let l = 20 + j. Let g be 9 + -6 - l/(-2). Solve g + 1 = 5*s for s. 1 Let p = 168 + -182. Let b be (-109)/(-7) + 5 + 78/p. Solve 10 = 5*t - b*t for t. -1 Suppose -379*b + 18326 + 11356 = 9595. Solve -78*t + b*t = -125 for t. 5 Suppose 2*z + 207 = 15. Let o = 112 + z. Solve -4*s = -4 - o for s. 5 Let i be (((-30)/(-25))/(-1))/(42/(-1785)). Solve 77 = -i*o - 331 for o. -8 Suppose 0 = -6*v - 591 - 57. Let n = 160 +
{ "pile_set_name": "DM Mathematics" }
. Let t(j) = -j - 2. Give 2*k(f) + 14*t(f). 8*f + 2 Let j = -1906 - -1904. Let q(r) = -5*r + 5. Let p(x) = 1. Determine j*q(m) + 10*p(m). 10*m Let p(n) = n**3 - 8*n**2 + 9*n - 13. Let y be p(7). Let s(a) = a + 2. Let x(u) = -71 - 71 + 143. Determine y*s(t) - 5*x(t). t - 3 Let v(x) = 9*x**3 + 11*x**2 + 6*x + 15. Let u = 298 - 309. Let l(z) = -5*z**3 - 6*z**2 - 3*z - 8. Determine u*l(m) - 6*v(m). m**3 - 3*m - 2 Let i(p) = 3*p - 1. Let c(o) = -o**2 + 2*o - 2. Let r = 415 - 418. Give r*c(q) + 2*i(q). 3*q**2 + 4 Let f(k) = k**2 + 6*k - 5. Let n(p) = -2*p**2 - 11*p + 9. Suppose -8 - 6 = 2*s. Let m be (-4)/6*(s + 1). Let j = -2023 - -2030. Determine j*f(u) + m*n(u). -u**2 - 2*u + 1 Let u(f) = -5*f + 2. Suppose -609*q + 257*q = 1408. Let d(o) be the third derivative of o**4/12 - o**3/6 - o**2. What is q*u(g) - 9*d(g)? 2*g + 1 Let m(c) = c + 1. Let d(u) = -5*u - 19. Give -d(g) - 4*m(g). g + 15 Let j(z) = -79*z**2 - 10*z + 2. Let f(d) = -16*d**2 - 2*d. Determine -11*f(y) + 2*j(y). 18*y**2 + 2*y + 4 Let s(t) = t**2 + 2. Let y(c) = 187*c**2 + 110. Determine 220*s(x) - 4*y(x). -528*x**2 Let d(o) be the first derivative of -o**2 - 10 - 2/3*o**3 + o. Let q(m) = m**3 + m**2 + m + 1. What is -d(l) - 2*q(l)? -2*l**3 - 3 Let k(j) = -2*j - 1. Let v(l) = -11*l - 6. Let c(r) = 14*k(r) - 2*v(r). Let f(s) = -5*s - 1. Give 4*c(t) - 5*f(t). t - 3 Let m(s) = -6*s**3 + 2*s**2 + 1. Let h(d) = -5*d**3 + 2*d**2 + 1. What is 4*h(n) - 3*m(n)? -2*n**3 + 2*n**2 + 1 Let s(d) = -5*d**2 + 3*d + 54. Let j(q) = -2*q**2 + q. Calculate -3*j(x) + s(x). x**2 + 54 Let y(d) = -14*d + 15. Let c(b) = 15 - 53*b + 48*b - 10. What is -17*c(x) + 6*y(x)? x + 5 Let r be 4 + (-9)/3 + -3. Let v(t) = 4*t**2 + 2*t. Let d(j) be the second derivative of -1/2*j**3 + 0 - 2*j + 0*j**2 - 5/12*j**4. Give r*d(x) - 3*v(x). -2*x**2 Let j(m) = -245*m - 40. Let p(r) = 35*r + 6. What is -3*j(v) - 20*p(v)? 35*v Let s(m) = -303*m**3 + 37*m**2 + 17*m. Let l(n) = 101*n**3 - 13*n**2 - 6*n. Calculate -17*l(i) - 6*s(i). 101*i**3 - i**2 Let u(c) = -5*c**2 + 7*c. Let p = -38 - -42. Let g(n) be the first derivative of 25*n + 5 + 2*n**2 - 25*n - n**3. Give p*u(y) - 7*g(y). y**2 Let u(w) = 8*w**2 - 27*w + 13. Let f(a) = 2*a**2 - 7*a + 3. What is 9*f(s) - 2*u(s)? 2*s**2 - 9*s + 1 Let q(p) = -3*p + 24. Let g(f) = -39*f + 315. Give 2*g(w) - 27*q(w). 3*w - 18 Suppose 2*r - 5 = -z, z + 3*r + 33 = 4*z. Suppose z*y + 0*y = -144. Let f(d) = 7*d**2 + 5*d - 5. Let l(h) = -22*h**2 - 16*h + 16. Calculate y*f(s) - 5*l(s). -2*s**2 Let k(v) = 13*v**2 - 6*v - 72. Let t(q) = q**2 - 8. Let b(m) = 2*k(m) - 18*t(m). Let a(f) = -2*f. Determine 12*a(p) - 2*b(p). -16*p**2 Let z(k) = 4*k**2 + 5*k + 3. Let x(n) = -2*n - 2. Give -4*x(c) - z(c). -4*c**2 + 3*c + 5 Let t(p) = -p**2 + 2*p - 2. Let f(z) = 14*z**2 - 12*z + 9. Give -f(o) - 5*t(o). -9*o**2 + 2*o + 1 Let j(u) = -u**2 - 1. Let l = 134 - 133. Let z(q) = -q**3 + 4*q**2 + 3. Give l*z(v) + 3*j(v). -v**3 + v**2 Let a(c) = c**3 - 3*c**2 + c + 1. Let f(u) = -10*u**3 + 3*u**2 - 12*u + 10. Let d(x) = a(x) + f(x). Let r(j) = 2*j**3 + 3*j - 3. What is 6*d(n) + 22*r(n)? -10*n**3 Let q(b) = b**2 + b - 1. Let r(n) = 73*n**2 + 8 - n**3 - 39*n**2 - 3 - 3*n - 41*n**2 + 0*n**3. Determine 5*q(j) + r(j). -j**3 - 2*j**2 + 2*j Let c(l) = -4*l**2 + 5. Let o(b) = -3*b**2 + 2. Determine 3*c(a) - 5*o(a). 3*a**2 + 5 Let r(m) = m**2 - 3. Suppose -63 = -12*x - 9*x. Let s(d) = -2*d**2 + d + 4. Let y be (3*8/6)/2. What is x*r(t) + y*s(t)? -t**2 + 2*t - 1 Let z(y) = y**3 - 5*y**2 - 14*y. Let p(s) = -s**3 + 6*s**2 + 17*s. Determine 5*p(q) + 6*z(q). q**3 + q Let i(c) = c - 6. Let k(n) = -5. Let f be 4*((-18)/30 - (-8)/5). Determine f*i(l) - 5*k(l). 4*l + 1 Let w(d) = -10*d**2 + 3*d - 4. Let s(h) = -58*h**2 + 36*h**2 - 9*h + 3 + 32*h**2 + 7*h. Determine -5*s(u) - 4*w(u). -10*u**2 - 2*u + 1 Let a(n) = 6716*n. Let v(y) = 79*y. Determine -6*a(l) + 511*v(l). 73*l Let m(i) = -i - 5*i - i**2 + 6 + 4*i**2. Let w(k) = -2*k**2 + 5*k - 5. Suppose 149 = 55*n - 126. Calculate n*m(l) + 6*w(l). 3*l**2 Suppose -5*p - 23 = 4*f, -4*p = 5*f - p + 19. Let t(m) = 5*m - 1. Let w(n) = -4*n + 1. What is f*t(v) - 3*w(v)? 2*v - 1 Let k(i) = -i**3 + 5*i**2 - 5. Let n be 4/2 - (-1 + -2). Suppose -2*p - 13 = -21. Let g(s) = s**3 - 4*s**2 + 4. Calculate n*g(j) + p*k(j). j**3 Let i(f) = -68*f**3 - 4*f**2 - 10*f + 5. Let q(t) = 67*t**3 + 3*t**2 + 8*t - 4. What is 4*i(h) + 5*q(h)? 63*h**3 - h**2 Let q = -3 - -8. Let z(b) be the first derivative of b**2 - b + 1. Let r(k) = 118*k + 6 - 121*k - 4 + 0. Give q*z(p) + 3*r(p). p + 1 Let s be 1 - (-6 + 4 + -3). Suppose 3*f - s = -3. Let g be 9/2 - (-8)/16. Let b(k) = -k. Let p(o) = o**3 + 5*o. Determine f*p(c) + g*b(c). c**3 Suppose 2*q = -q + 15. Let o = 14 - 4. Let x(r) = -o + 7 + r + r. Let t(n) = -2*n + 3. What is q*t(b) + 6*x(b)? 2*b - 3 Let f(z) = -z + 4. Let p(a) be the second derivative of -a**3/6 + 3*a**2 + 244*a. Suppose 2*j - 6 = 2*m - 4, -2*m + 5*j + 10 = 0. Determine m*p(k) + 7*f(k). -2*k - 2 Suppose 153 = -14*i + 5*i. Let z(j) = -14*j - 12. Let r(l) = 5*l + 4. Determine i*r(p) - 6*z(p). -p + 4 Let s(y) = 1033*y**2. Let w(i) = -344*i**2. Determine 4*s(c) + 14*w(c). -684*c**2 Let k(p) = 92*p**2 + 5. Let z(b) = -12513*b**2 - 679. Give -679*k(q) - 5*z(q). 97*q**2 Let j(n) = -2*n. Let o(q) = 600*q**3 + 120*q. Give -60*j(b) - o(b). -600*b**3 Let c(j) be the first derivative of 3*j**2 + 7*j - 8. Let h(s) = -5*s - 6. Let q be 7 - (-2)/(-4)*0. Suppose 4*p + 29 = 53. Determine p*c(d) + q*h(d). d Let m(v) = -1100*v**2 + 2*v. Let x(n) = 142999*n**2 - 261*n. What is 261*m(l) + 2*x(l)? -1102*l**2 Let y(n) = -7*n**2 - 7*n + 9. Let j = -1 - -4. Let i(g) = g + 2. Let r(l) = 4*l**2 + 6*l - 1. Let d(m) = -2*i(m) + r(m). Calculate j*y(v) + 5*d(v). -v**2 - v + 2 Suppose 5*k + 11 = 1. Let r(z) = -3*z**2 + 5*z + 2. Let t(y) = y**3 - 2*y**2 + 4*y + 2. Calculate k*r(l) + 3*t(l). 3*l**3 + 2*l + 2 Suppose -3*m + 7*m = -44. Let f(j) = 7*j**2 - 2*j - 5. Let l(w) be the second derivative of 13*w**4/12 - 2*w**3/3 - 9*w**2/2 - 13*w. Calculate m*f(c) + 6*l(c). c**2 - 2*c + 1 Suppose 4*v + 12 = 8*v. Let r(t) = 2*t - 2. Let h(l) = 6*l - 6. Calculate v*h(z) - 8*r(z). 2*z - 2 Let u(q) = -q. Let h(r) = -1 - 2*r + 1. Let g = -4 + 48. Suppose -5*n = -2*f + 38, -2*f - 3*f = -4*n - g. Calculate n*h(l) + 13*u(l). -l Let n(k) = -30*k**2 - 12*k - 12. Let c(q) = 3*q**2 - 5*q - 10. Let r(y) = -3*y**2 + 1. Let p(w) = c(w) + 5*r(w). Determine 5*n(l) - 12*p(l). -6*l**2 Let w(o) = 3*o**3 - 8*o**2 - 481*o - 8. Let l(s) = s**3 - 3*s**2 - 160*s - 3. What is 8*l(b) - 3*w(b)? -b**3 + 163*b Let p(j) be the third derivative of j**5/12 - j**4/8 + j**3/6 - 8*j**2 - 1. Let m(g) = 4*g**2 - 2*g. Give 3*m(l) - 2*p(l). 2*l**2 - 2 Let m(g) = 10*g**2 - 3*g - 1. Let i(q) = 10*q**2 - 2*q - 1. Calculate -5*i(t) + 4*m(t). -10*t**2 - 2*t + 1 Let v(s) = -33*s - 11. Let y(g) = -36*g - 13. Calculate -4*v(w) + 3*y(w). 24*w + 5 Suppose -2*j = -3*c - 72, -4*c - 49 - 47 = 4*j. Let m(v) = 6*v**3 + 24*v + 24. Let w(a) = -a**3 - 5*a - 5. What is c*w(h) - 5*m(h)? -6*h**3 Let s(v) = -8*v**3 - 6*v**2 + 7. Let n be 1 + 1 - (-14 + 10). Let k(z) = -3*z**2 + 23*z**3 + 5*z**2 + 15*z**2 - 20. Determine n*k(b) + 17*s(b). 2*b**3 - 1 Let m(v) = 906*v + 21. Let l(s) = -453*s - 9. Give -7*l(g) - 3*m(g). 453*g Let r(q) = -176*q**2 + 352*q. Let z(u) = u**2 + 2*u. Determine r(m) - 176*z(m). -352*m**2 Let r(w) = -5*w**2 - 8*w + 9. Let t be 4/(-5) + 1 + (-840)/(-300). Let d(n) = -18*n - 6 - 14*n + 44*n + t*n**2 - 7*n. What is -8*d(j) - 5*r(j)? j**2 + 3 Let c(o) = 58*o - 1. Let r(q) = 60*q - 1. Give -5*c(j) + 6*r(j). 70*j - 1 Let x(k) = 3*k**3 - 2*k. Let f(v) be the first derivative of 15*v**4/2 - 21*v**2/2 - 17. Let c be (-85)/(-4) + 8/(-32). What is c*x(p) - 2*f(p)? 3*p**3 Let t(x) = -3*x + 1. Let i(m) be the second derivative of m**4/12 + m**3/3 - m**2/2 - 107*m. Calculate -3*i(k) - 2*t(k). -3*k**2 + 1 Let g be ((-27)/(-15))/3*(-65)/13. Let j(c) = -2*c**3 + c**2 + c - 1. Let b(u) = u**3 - u**2 - u + 1. Determine g*j(p) - 3*b(p). 3*p**3 Let w(m) = 2*m - 26. Let x(n) = -2*n + 27. What is 4*w(k) + 5*x(k)? -2*k + 31 Suppose 5*d + y - 3 = 2, 2*d = 4*y + 24. Let h = d - 9. Let z(f) = -6*f - 5 - 15 + 19. Let l(o) = -5*o - 1. What is h*l(c) + 6*z(c)? -c + 1 Let n be (-28)/(-49) + (-125)/35 + 5. Let r(t)
{ "pile_set_name": "DM Mathematics" }
= 60. Suppose f + n*q - 259 = 0, -4*f + 438 = 2*q - 570. What is the units digit of f? 1 What is the hundreds digit of (-6)/4*(-14930)/15? 4 Suppose -f = n - 1586, -4344 = -3*f - n + 422. What is the hundreds digit of f? 5 Let l = -102 + 75. Let o = 219 + l. What is the units digit of o? 2 Let x(p) = 5*p**2 + 14*p + 3. Let n(f) = 9*f**2 + 26*f + 6. Let w(c) = 3*n(c) - 5*x(c). Let j be 1/1*6/(-1). What is the units digit of w(j)? 7 Suppose -6*r = -2*r. Suppose r = y - 81 + 27. Let i = y - 25. What is the tens digit of i? 2 Suppose -4 = -p - 0*p. Suppose 11 = -70*r + 81*r. Suppose -2*v - p*g + 44 = 0, -21 = -v - 5*g + r. What is the tens digit of v? 2 Suppose 0 = 8*f - 4*f - 2380. What is the hundreds digit of f? 5 Let w = -1636 + 2426. What is the hundreds digit of w? 7 Suppose -2*k + 1991 = -1031. What is the hundreds digit of k? 5 Suppose -182 = 6*n - 782. What is the tens digit of n? 0 Suppose -4*h = 21 - 173. Suppose 26 = 2*a - h. What is the units digit of a? 2 Let z(m) = -m**3 + 10*m**2 + 21*m - 5 + 0 + 7*m**2. What is the units digit of z(18)? 9 Let n be (8/(-5))/(26/65). Let s = n - -67. What is the units digit of s? 3 Let s = -9 - -10. Suppose 5*z + 5*a - 10 = 0, -5*z + 3*a + s = -9. Suppose 33 = z*b - 9. What is the units digit of b? 1 Suppose f - a = 1493, -18*f + a + 7473 = -13*f. What is the thousands digit of f? 1 Suppose -3*x - 19*m + 23*m = -2687, 2*m = -4*x + 3590. What is the hundreds digit of x? 8 Suppose 6 + 4 = 2*u. Suppose -u*f + 6 = -3*f. Suppose -f*t - 21 = -4*t. What is the units digit of t? 1 Suppose 0 = -37*g + 38*g - 1220. What is the thousands digit of g? 1 Suppose c = -3*n - c + 129, -129 = -3*n - c. Suppose -46*b + 237 = -n*b. What is the units digit of b? 9 Suppose -2*o - 2*o + 3*s = -2, 4*o - 4*s = 0. Suppose 56 = 5*y + 4*m - 48, 4*m = o*y - 36. What is the units digit of y? 0 Let j(u) = -4*u**2 - 12*u - 4. Let r(k) = -5*k**2 - 13*k - 5. Let l(t) = 4*j(t) - 3*r(t). Let v = 13 + -21. What is the units digit of l(v)? 7 Suppose -360 = -5*f + 160. Let g = f + -73. What is the units digit of g? 1 Let u be (-2)/(-4) + 531/6. Suppose -u + 285 = 2*t. What is the tens digit of t? 9 Suppose -v - 52 = -5*v. Suppose 0 = -3*n - v + 1. What is the units digit of 1*4/(-16)*n? 1 Let d(i) = -i**3 - 4*i**2 - 2. What is the tens digit of d(-12)? 5 What is the thousands digit of (-488445)/(-195) + (-4)/(-26)? 2 Suppose 9*d - 2*d = -392. Let g = d - -205. What is the units digit of g? 9 Suppose s - 1 - 1 = 0. Suppose s*a + 39 = -a - 3*t, -a = 2*t + 17. Let r(v) = -v - 3. What is the units digit of r(a)? 6 Let p = -593 - -984. What is the tens digit of p? 9 Let j = -3 + -25. What is the tens digit of 8/j + (-2232)/(-21)? 0 What is the hundreds digit of 2/(-5) + 20956/65 + -7? 3 Suppose -11*k + 115 = -6. Suppose -2*r = -k*r + 117. What is the tens digit of r? 1 Let x be (-3)/(-1) + 1 - 1. Suppose -1 + 12 = -x*j - 4*o, -o = 4*j - 7. Suppose -2*q - 105 = -5*d - 7*q, -j*d = -3*q - 33. What is the units digit of d? 6 Let r be ((-45)/10 - -4)*-22. Let k(b) = 2*b**2 - 11*b - 15. What is the hundreds digit of k(r)? 1 Let v be (-1 - 2) + 3 + 6 + -3. Suppose -5*t = -4*c - 909, v*t - 8*t = -5*c - 910. What is the hundreds digit of t? 1 Suppose 5*a - 4*z - 74 = -2*z, 0 = -a - 5*z + 4. Suppose 0 = -h - h - a. Let c(p) = p**2 + 3*p + 5. What is the units digit of c(h)? 3 Let k(d) = 17*d**3 - 10*d - 34. What is the thousands digit of k(4)? 1 Suppose -27*n = -2911 - 4298. What is the units digit of n? 7 Suppose -h - 4*m + 520 = 0, -1582 = -3*h - 12*m + 11*m. What is the tens digit of h? 2 Let g(n) = 505*n**2 - n + 2. What is the tens digit of g(1)? 0 Suppose -g + 3*x = g - 23, -2*g + 2*x = -22. Suppose 4*h + 24 = 5*o - 1, 2*o - g = -5*h. What is the units digit of o? 5 Let t(j) = 3*j - 3. Let i be t(5). Let g be ((-4)/(-12))/(2/i). Let f = g + 1. What is the units digit of f? 3 Suppose -3*v + 1286 = 44. What is the units digit of v? 4 Suppose 16 = -3*z + 4*z. Suppose -j = -z - 71. What is the units digit of j? 7 Let s = -481 + 850. What is the hundreds digit of s? 3 Let v(x) = -5*x**3 - 2*x**2 + 1. Let r be v(-1). Suppose -2*g + 27 + 13 = r*d, -14 = -g + d. Let u = g + -9. What is the units digit of u? 7 What is the thousands digit of 4/(112/57100) - (-4)/(-14)? 2 Let v = -18 - -18. Suppose v = 4*k - 2*k - 100. Let d = -19 + k. What is the tens digit of d? 3 What is the hundreds digit of (-33)/22 + 2878/4 + -3? 7 Suppose 6*t = 304 + 4004. What is the units digit of t? 8 Suppose -74*p = -73*p - 280. Suppose -33*h - p = -35*h. What is the hundreds digit of h? 1 Let z(u) = -u**3 + 11*u**2 - 22*u + 38. Let k be z(9). Suppose 5 = 3*g - 1. Suppose k*p - g*j - 24 = 74, -144 = -3*p + 2*j. What is the tens digit of p? 4 Suppose 3*i = 5*b + 18, 4*b + 5*i + 48 = 4. What is the units digit of ((-15)/b - 3)*(-206)/1? 3 Suppose 2*y - 9*y + 1645 = 0. Let j = y - 127. Suppose 10*d = 6*d + j. What is the units digit of d? 7 Suppose 10*y - 2763 = 5877. What is the units digit of y? 4 Let v = 3025 - 1982. What is the tens digit of v? 4 What is the tens digit of (-10507)/(-7)*(2 + 3 - 4)? 0 Let m = -45 + 7. Let p = 87 + m. What is the units digit of p? 9 Let i = -1469 - -3530. What is the units digit of i? 1 Let m = -9 - -6. Let v(d) = 6*d**2 - 3*d - 3. Let q be v(m). Suppose -2*r - 5*z + 63 + 1 = 0, 2*r + 3*z = q. What is the units digit of r? 7 Let q(s) = -s**2 + 5*s. Let z be q(4). Suppose -t = z*t - 180. Let a = t - 22. What is the tens digit of a? 1 Let a = 232 - 73. Suppose 5*s = a + 716. What is the units digit of s? 5 Suppose -20 = -4*z - z. Let p be 0 + (3 - -4*2). Suppose 0 = z*d - p - 21. What is the units digit of d? 8 Suppose 4*w - 38*c - 13315 = -39*c, -9982 = -3*w - 5*c. What is the tens digit of w? 2 Let j = 2633 + 936. What is the units digit of j? 9 Let o be (5/(-4))/(8/(-32)). Suppose -n = 3*n - 40. Let d = n - o. What is the units digit of d? 5 Let x(n) = -n**2 + 9*n - 3. Let r be x(8). Suppose -5*v - 155 = -10*v. Suppose r*b - 94 - v = 0. What is the units digit of b? 5 Let h(c) = 5*c**2 + 4*c + 14. Let a(s) = s**2 + s - 1. Let b(o) = 6*a(o) - h(o). What is the units digit of b(6)? 8 Let w(o) = -o**3 + 10*o**2 - 7*o - 8. Let q be w(10). Let r = -17 - q. What is the units digit of r? 1 Let j(x) = -x - 9. Let v be j(0). Let m(f) be the third derivative of -f**6/120 - 2*f**5/15 + 5*f**4/24 - f**3/6 + 4*f**2. What is the units digit of m(v)? 5 Suppose 3*k - 2608 = -5*h, -5*h + 0*h + 2*k = -2628. What is the tens digit of h? 2 Let l = 3 + -7. What is the units digit of 68 + 4*(-1)/l? 9 Let g(b) = 111*b**2 - 9*b - 4. What is the tens digit of g(2)? 2 Let r = -17 - 169. Let s = -99 - r. What is the units digit of s? 7 Let a(t) = -5*t**3 - 9*t**2 - 5*t - 1. Let u(k) = 0*k**3 + 2*k**3 + 8*k**2 + 4*k + 4*k**3 - 2*k**3. Let i(p) = -5*a(p) - 6*u(p). What is the tens digit of i(5)? 6 Let m = 416 - 158. What is the units digit of m? 8 Let u(l) = 2*l**2 + 13*l - 7. What is the hundreds digit of u(-22)? 6 Let q = -980 - -697. Let h = 494 + q. What is the hundreds digit of h? 2 Let x(b) = 6*b - 7. Let t be x(-9). Let a = t - -111. Let w = -34 + a. What is the tens digit of w? 1 Let j(l) be the first derivative of -l**2/2 + 8*l - 4. Suppose m + 13 = -2. What is the tens digit of j(m)? 2 Suppose 9*g - 2*j = 12*g - 635, -3*j = -2*g + 406. What is the hundreds digit of g? 2 Suppose -81*t - 2216 = -82*t. What is the hundreds digit of t? 2 Suppose -59 = f - 2*f - 2*t, 3*t = 5*f - 347. Let k = -29 + f. What is the units digit of k? 8 Let w be 16 + 6/(-3)*1. Let h = -29 + w. Let i = 10 - h. What is the tens digit of i? 2 Suppose 146 - 7549 = -11*o. What is the units digit of o? 3 What is the tens digit of (-2)/(-5) + 3/((-60)/(-1532))? 7 Let r(l) = l**3 - 10*l**2 + l + 6. Suppose -3*j - 2*j + 3*n + 59 = 0, -5*n + 35 = 5*j. What is the units digit of r(j)? 6 Let p = 2177 - 1507. What is the tens digit of p? 7 Let c = -1177 - -5391. What is the units digit of c? 4 Let n(o) = 10*o**2 + o. Suppose 10*h + 7 = 17. What is the tens digit of n(h)? 1 Suppose 1 + 21 = 11*b. Suppose -304 = -b*p + 2*l, -4*l = 4*p - 5*l - 623. What is the units digit of p? 7 Let h(j) = j**3 + 7*j**2 + 9. Let k be 35*(8/5)/(-4). Let t = -21 - k. What is the units digit of h(t)? 9 Suppose -13 = -3*
{ "pile_set_name": "DM Mathematics" }
*z**4 - 12*z**4 + 2 + 0*z**3 - 9*z - 3*z**5 + f*z**2. (z - 1)**3*(z + 1)*(5*z - 2) Solve -1/4*m**3 - 1/4*m**4 + 0 + 3*m**2 + 0*m = 0. -4, 0, 3 Let q(w) be the third derivative of 2/105*w**7 + 0*w**3 - 1/4*w**4 - 1/168*w**8 + 0*w + 9*w**2 - 1/15*w**5 + 0 + 1/15*w**6. Suppose q(o) = 0. Calculate o. -1, 0, 1, 3 Let p(x) be the second derivative of -x**10/5880 + x**9/4410 + x**8/588 + 4*x**7/2205 - 5*x**4/4 + 17*x. Let c(g) be the third derivative of p(g). Factor c(z). -4*z**2*(z - 2)*(3*z + 2)**2/7 Let n = -1691 + 1815. Let k = -10/57 - -54/19. Solve 20*b**5 - 254/3*b**4 - 242/3*b**2 + n*b**3 + 24*b - k = 0 for b. 1/3, 2/5, 1/2, 1, 2 Let x be -4 + 1 + 3 - -4. Let m(p) be the second derivative of 0 + 1/66*p**x - 1/33*p**3 + 3*p - 2/11*p**2. Solve m(r) = 0 for r. -1, 2 Let q(a) = 4*a - 14*a + 4*a + 15*a**2 + 18 + 12*a. Let l be 18*(-2)/(2*-1). Let t(y) = -y**2 - 1. Let b(r) = l*t(r) + q(r). Solve b(f) = 0. 0, 2 Let z = 313 + -117. Determine a, given that -56*a**4 - 1 + 275*a**2 - 219*a**2 - z*a + 4*a**5 + 192*a**3 + 1 = 0. -1, 0, 1, 7 Suppose -21*m = 419 - 20. Let r = 61/3 + m. Factor 2/3 - 2/3*h - 2/3*h**5 + 2/3*h**4 + r*h**3 - 4/3*h**2. -2*(h - 1)**3*(h + 1)**2/3 Let r = 1960 - 1960. Let l(g) be the third derivative of 1/75*g**5 + r*g + 8*g**2 + 0 + 6/5*g**3 - 1/5*g**4. Solve l(q) = 0 for q. 3 Let c(l) be the second derivative of -1/4*l**2 - 1/24*l**4 + 9*l + 0 - 1/6*l**3. Factor c(k). -(k + 1)**2/2 Solve -68*n - 14 - 28*n**3 + 18*n**2 - 61*n**2 - 4*n**4 - 10 - 25*n**2 = 0. -3, -2, -1 Let z(n) = -2*n**3 + n**2 - 12*n - 30. Let j(x) = x**3 + x**2 - x + 4. Let v(o) = 3*j(o) + z(o). Find l, given that v(l) = 0. -6, -1, 3 Let s = 13662/5 - 2718. Suppose 0*p - 28 = -14*p. Factor 0 + 162/5*l**3 + 8/5*l - s*l**p. 2*l*(9*l - 2)**2/5 Let f(d) be the second derivative of -d**4/48 + 5*d**3/4 - 225*d**2/8 + 103*d. Factor f(i). -(i - 15)**2/4 Let u = 1026 - 1024. Let g(j) be the first derivative of 0*j + j**u + j**3 + 5 + 3/8*j**4 + 1/20*j**5. Factor g(r). r*(r + 2)**3/4 Let r(t) be the first derivative of -2*t**5/5 - 21*t**4/16 - 5*t**3/4 + t**2/8 + 3*t/4 - 93. Determine g, given that r(g) = 0. -1, 3/8 Let p be 2426/18 + (-1 - (1 - 3)). Let f = 136 - p. Factor -8/9*k**3 + 0*k**2 + 0 + f*k. -2*k*(2*k - 1)*(2*k + 1)/9 Let v = -719/2 - -360. Let g = 3 + -1. Factor 0 + 1/2*x**g + v*x. x*(x + 1)/2 Let z(d) = 18*d**2 + 24*d + 25. Let y(c) = 10*c**2 + 12*c + 12. Let b(m) = 7*y(m) - 4*z(m). Factor b(r). -2*(r + 2)*(r + 4) Let r(z) be the second derivative of z**5/10 + 23*z**4/6 - 8*z**3 + 176*z + 2. What is h in r(h) = 0? -24, 0, 1 Suppose 9*n - 346 = -337. Let b(x) be the first derivative of 0*x**2 - 4/3*x**3 - n + 0*x. Determine w so that b(w) = 0. 0 Let n(t) = -t**2 + 7*t - 6. Let h be n(3). Suppose i + h = 4*i. Factor -i + 14*u - 12*u**2 + 5 - 5*u. -3*(u - 1)*(4*u + 1) Let g(f) be the third derivative of -5*f**8/1008 - 13*f**7/315 - f**6/72 + 54*f**2. Find y such that g(y) = 0. -5, -1/5, 0 Let a = -233 - -236. Let h(k) = -k**3 + 6*k**2 - 4*k - 1. Let w be h(5). Factor -9*f**3 + a*f**2 + 9*f + 2*f**w + 5*f**4 + 0*f**4 - 6 - 4*f**4. 3*(f - 2)*(f - 1)**2*(f + 1) Let s(z) be the second derivative of z**5/100 + z**4/12 - z**3/5 + 3*z - 2. Factor s(j). j*(j - 1)*(j + 6)/5 Let g(m) be the third derivative of -15*m**2 + 0*m**3 - 2/105*m**5 + 1/1176*m**8 - 1/21*m**4 + 4/735*m**7 + 0*m + 1/140*m**6 + 0. Suppose g(v) = 0. Calculate v. -2, -1, 0, 1 Let h(q) be the third derivative of 1/12*q**4 + 0*q**3 + 7*q**2 + 49/480*q**6 + 0 + 7/40*q**5 + 0*q. Determine f so that h(f) = 0. -4/7, -2/7, 0 Factor 16*t**2 - 51 - 2*t**4 + 26 - 7. -2*(t - 2)**2*(t + 2)**2 Let w(u) be the first derivative of u**4/10 + 4*u**3/5 - 16*u**2/5 - 339. Find c, given that w(c) = 0. -8, 0, 2 Let h(k) be the second derivative of 0 + 0*k**5 + 2/45*k**6 + 2*k + 0*k**2 - 1/9*k**4 - 1/9*k**3 + 1/63*k**7. Solve h(w) = 0 for w. -1, 0, 1 Factor -33/5*f - 72/5 - 3/5*f**2. -3*(f + 3)*(f + 8)/5 Suppose a = -23 + 25. Suppose -5*w + 3*w = -a, -3*g = 5*w - 14. Factor 0*q**2 + 0 - 4/7*q**g + 0*q + 2*q**4. 2*q**3*(7*q - 2)/7 Let k = 0 + 4. Suppose l**2 + l**4 + l**3 - l**5 - k*l**2 + 2*l**2 + 0*l**4 = 0. Calculate l. -1, 0, 1 Suppose -18 = 3*n + 2*t - 46, 0 = 5*n + 2*t - 40. What is l in 4*l**3 + 56/9*l**2 - n*l**5 + 0 - 6*l**4 + 16/9*l = 0? -2/3, 0, 1 Let r = -10934/345 - -732/23. Factor -2/15*f**2 + 2/15*f**4 + 2/15*f**5 - r*f**3 + 0*f + 0. 2*f**2*(f - 1)*(f + 1)**2/15 Let t(o) = 4*o - 56. Let y be t(14). Suppose y = -l + 3, -m = l - 5. Factor -3/4*b**m + 9/2*b - 27/4. -3*(b - 3)**2/4 Let w be (-13)/78 - (0 - 1/6). Solve -7 - 2*y - y + y**2 - 3*y + w*y = 0. -1, 7 Suppose u - 32 = -30. Suppose -u*v = 2*z - 7*v, 2*z = 3*v. Factor -2/3*c**2 + z + 0*c. -2*c**2/3 Let z be ((-7)/336)/(3/(-2)). Let u(d) be the third derivative of 0*d + 0*d**3 - 1/180*d**5 - z*d**4 + 0 + 2*d**2. Let u(k) = 0. Calculate k. -1, 0 Let x = -4 + 8. Let c = 9534 - 9532. Factor -4/7*q + 8/7*q**3 - 2/7*q**c + 0 + 6/7*q**x. 2*q*(q + 1)**2*(3*q - 2)/7 Let a be -5 + 3 + -6 + 98/12. Let r(c) be the first derivative of -a*c - 10 - 1/6*c**2 + 1/6*c**3. Factor r(n). (n - 1)*(3*n + 1)/6 Let j = -2 + 6. Factor 2*l**4 - l**4 - 3*l + 3*l**3 - 3*l**2 + 2*l**j. 3*l*(l - 1)*(l + 1)**2 Let j(i) be the second derivative of 0*i**3 - 9*i + 0*i**2 + 2/105*i**6 + 0 + 1/42*i**4 + 9/140*i**5. Find a, given that j(a) = 0. -2, -1/4, 0 Let k be (-42)/(-126)*3/8. Let i(q) be the first derivative of 5 - 1/4*q**2 + k*q**4 + 0*q**3 + 0*q. Factor i(z). z*(z - 1)*(z + 1)/2 Factor -398 + 119 + 126*l**2 + 110 + 4*l**3 + 107 + 60*l. 2*(l + 1)*(l + 31)*(2*l - 1) Let i(x) be the second derivative of -x**5/70 - 6*x**4/7 + 76*x**3/21 - 5*x + 7. Find j, given that i(j) = 0. -38, 0, 2 Let v = -6219 + 12441/2. Factor -6*z + 6*z**2 + 0 - v*z**3. -3*z*(z - 2)**2/2 Factor -55*f + 112*f - 8*f**2 - 18*f**3 - 3*f**5 + 5*f**5 - 33*f. 2*f*(f - 3)*(f - 1)*(f + 2)**2 Let h = 5/7034 + 548627/35170. Let 3/5*u**2 + 507/5 + h*u = 0. Calculate u. -13 Let l(k) be the second derivative of k**5/50 - k**4/30 - 3*k**3/5 + 9*k**2/5 - 78*k. Factor l(a). 2*(a - 3)*(a - 1)*(a + 3)/5 Let u(g) be the second derivative of 2*g**7/21 + 14*g**6/75 - 3*g**5/25 - 7*g**4/15 - 4*g**3/15 - g - 112. Let u(o) = 0. Calculate o. -1, -2/5, 0, 1 Let n(j) be the third derivative of 1/15*j**5 + 0*j**3 - 3*j**2 - 1/30*j**6 + 1/6*j**4 - 2/105*j**7 + 0*j + 0. Find s such that n(s) = 0. -1, 0, 1 Let p(b) = -b**2 + 11*b - 25. Let n be p(7). Suppose -4*a - n*l - 12 = l, 5*a = -2*l. Determine r, given that -1/5 - 1/5*r**3 - 3/5*r**a - 3/5*r = 0. -1 Let o be 2/8 + (-47)/(-4). Suppose o + 0 = 4*i. Let 6*b**3 + 3 - 3*b + i*b**2 - 8*b**2 - 3*b**5 + 3*b**4 - b**2 = 0. Calculate b. -1, 1 Let k(r) be the second derivative of -r**6/1620 + r**5/135 - r**4/36 + 3*r**3/2 + 21*r. Let q(a) be the second derivative of k(a). Solve q(c) = 0. 1, 3 Let n = 27826/105 + -265. Let z(t) be the third derivative of 0 - 3*t**2 + 0*t + 0*t**4 + 0*t**3 + 1/30*t**5 + 1/336*t**8 - 1/120*t**6 - n*t**7. Factor z(m). m**2*(m - 2)*(m - 1)*(m + 1) Suppose -q - 15 = -4*k - 2, 0 = 2*k - 4*q - 24. Solve 18*s**3 + 9*s - 9*s**2 - 2 - 15*s**3 - 1 + 0*s**k = 0 for s. 1 Factor 17/3*l**3 - 7/3*l**4 + 0 - 3*l**2 - 1/3*l**5 + 0*l. -l**2*(l - 1)**2*(l + 9)/3 Let x(r) be the first derivative of 18*r + 2/3*r**3 + 6*r**2 + 3. Factor x(q). 2*(q + 3)**2 Find z, given that 10*z**2 + 7 + 4 + 12*z**3 - 15 - 7*z + z = 0. -1, -1/2, 2/3 Let k(v) be the third derivative of -v**7/210 - v**6/30 + 12*v**2 - 10*v. Find q, given that k(q) = 0. -4, 0 Let x(a) be the first derivative of a**7/147 - a**6/105 + 27*a - 30. Let r(h) be the first derivative of x(h). Let r(y) = 0. Calculate y. 0, 1 Let n = 7349/5 + -1469. Factor -h**2 + n - 8/5*h. -(h + 2)*(5*h - 2)/5 Let -1/6*x**4 + 0*x + 0*x**2 + 0 - 1/3*x**3 = 0. What is x? -2, 0 Let q(f) be the second derivative of -1/12*f**4 - 25*f + 0*f**2 + 1/3*f**3 + 0. Determine n so that q(n) = 0. 0, 2 Let z(c) = -5*c - 3. Let a be z(5). Let d be (a/(-12))/((-3)/(-18)). Suppose 5*k + 15*k**3 + 3*k**4 + 13*k**2 + d*k**2 + 6 + 4*k + 12*k = 0. Calculate k. -2, -1 Let m = 61 - 56. Suppose -3*x + 4*q + 32 = 0, -2*q + 1 = 2*x + 3. Let 3*i**5 - 2*i**3 - 5*i**m + x*i**5 = 0. What is i? -1, 0, 1 Let w(f) be the first derivative of 21*f**4/4 - 9*f**3 - 18*f**2 + 12*f -
{ "pile_set_name": "DM Mathematics" }
hat is u(k(w))? 47*w**2 + 9*w Suppose -5*v + 4*j + 6 = -7*v, -3*j = 3*v. Let t(l) = -l + 3*l + 3 - v. Let c(g) = -61*g + 2. Determine t(c(a)). -122*a + 4 Let z(b) = 311 + 268 + 268 - 5*b**2 + 272 - 1119. Let y(j) = 2 + 3*j - 2. Calculate z(y(q)). -45*q**2 Let s(h) = 2*h**2 - 7*h. Let x(n) = 17*n**2 - 77*n. Let m(w) = 66*s(w) - 6*x(w). Let p(c) = 73*c. Give m(p(k)). 159870*k**2 Let q(w) = -2*w. Let n(p) = -8*p**2 + 51*p + 204. Let z be n(9). Let x(a) be the first derivative of 3/2*a**2 - z + 0*a. Determine q(x(i)). -6*i Let l(t) = 17805*t**2. Let a(d) = 143*d + 2. What is a(l(h))? 2546115*h**2 + 2 Let d(f) = 61*f**2 + 4*f - 48. Let o(y) = 58*y**2 + 3*y - 36. Let c(j) = 3*d(j) - 4*o(j). Let k(l) = -3*l. Calculate c(k(s)). -441*s**2 Let w(u) be the second derivative of -3/2*u**2 + 24*u + 2 + 22/3*u**3. Let g(c) = c. Determine g(w(r)). 44*r - 3 Let n(o) = -30*o + 72. Let z(q) = -4*q + 10. Let w(c) = -5*n(c) + 36*z(c). Let r(l) = -1040*l**2. What is r(w(k))? -37440*k**2 Let o(z) = -15*z**2 - 5*z. Let k be 38/(-3*(-6)/9). Let t = 24 - k. Let s(l) = 7*l**2 + 2*l. Let u(q) = t*s(q) + 2*o(q). Let n(g) = g**2. Calculate n(u(c)). 25*c**4 Let r(y) = -465*y + 783 - 1619 + 836. Let a(t) = -11*t**2. Calculate a(r(z)). -2378475*z**2 Let m(g) = -3*g - g - 2*g + 11*g. Let r(c) = -c**3 + 5*c**2 - 3*c - 1. Let s be r(4). Let j(l) = 0*l + s*l - l. Calculate j(m(v)). 10*v Let a(p) = -13*p + 4. Let l(r) = 12*r - 6. Let u(i) = 3*a(i) + 2*l(i). Let n(w) = w. Let g(x) = 55*n(x) + 4*u(x). Let d(q) = -22*q**2. Give g(d(f)). 110*f**2 Let o(a) be the second derivative of -2 - a - 1/2*a**2 - 1/6*a**3. Let s(q) = 2*q**2. What is o(s(y))? -2*y**2 - 1 Let p(l) = 223*l + 2. Let r(k) = 66*k**2 + 2. Calculate r(p(c)). 3282114*c**2 + 58872*c + 266 Let o(x) = -2*x. Let r be (-36)/108*(-6)/1. Let l(p) = -8 + 18*p**r + 2*p + 5 + 3. Give l(o(n)). 72*n**2 - 4*n Let y(b) = b + 4. Let m(h) be the first derivative of -2*h - 1. Let u(o) = -4*m(o) - 2*y(o). Let r(i) = -5*i + 19*i - 48*i - 5*i + 0*i - 7*i. What is r(u(k))? 92*k Let t(p) be the second derivative of -p**6/36 - 25*p**3/3 + 2*p + 6. Let f(x) be the second derivative of t(x). Let w(l) = -10*l. What is w(f(r))? 100*r**2 Let g(u) be the first derivative of -10*u**3/3 - 3636. Let w(c) = -1744*c**2. What is w(g(j))? -174400*j**4 Let k(r) = 1126*r + 1288*r - 9 - 2 + 17 - 7. Let m(o) = 2*o**2. Give k(m(w)). 4828*w**2 - 1 Let d(h) = -2*h**2. Let a(p) = 187672712*p**2. Give a(d(u)). 750690848*u**4 Let b(w) = 8*w**2 + 624273*w - 1. Let l(v) = v. What is b(l(s))? 8*s**2 + 624273*s - 1 Let u(t) be the second derivative of -11*t**4/4 - 447*t. Suppose 4*q + 5*v + 0*v - 390 = 0, -89 = -q + 3*v. Let o(j) = q*j - 95*j + 2*j**2. What is u(o(d))? -132*d**4 Let g(i) = 76*i**2. Let p(f) = 11516*f**2 + 15*f - 2. What is p(g(l))? 66516416*l**4 + 1140*l**2 - 2 Let d(w) = 2*w - 63. Let t(p) = p - 45. Let j(x) = 5*d(x) - 7*t(x). Let v(y) = -284*y. Calculate j(v(u)). -852*u Let q(f) = -3*f + 5599. Let v(l) = -22*l. What is v(q(x))? 66*x - 123178 Let d(c) = -9*c. Let y(g) = 8*g**2 - 5*g**2 - 7*g**2 + 33*g + 58*g. Determine d(y(l)). 36*l**2 - 819*l Let t be 23016/(7 + 1) + 2. Let o(h) = 2869*h - t*h - h**2 - h**2. Let i(p) = -4*p. What is o(i(a))? -32*a**2 + 40*a Let i(l) = 3*l - 2. Let g(q) = 237*q + 40. Determine i(g(k)). 711*k + 118 Let p(m) = -1521335*m**2 + 36. Let k(n) = -2*n**2. Calculate p(k(y)). -6085340*y**4 + 36 Let z(m) = 4*m - 192. Let a(l) = 3954*l. Calculate z(a(x)). 15816*x - 192 Let w(o) = 3*o**2 - 31*o. Let f(j) be the third derivative of j**5/12 + j**2 - 471. Give w(f(y)). 75*y**4 - 155*y**2 Let o(b) = 54 - 85*b**2 - 54 + 102*b**2. Let c(k) = 17 - k + 5*k - 17. Determine o(c(j)). 272*j**2 Let d(g) = -84818974*g. Let k(i) = 3*i. What is d(k(m))? -254456922*m Let j(g) be the second derivative of -13*g**4/24 - g**2/2 - 41*g. Let l(t) be the first derivative of j(t). Let n(r) = -8*r. Calculate l(n(p)). 104*p Let n(h) = -3*h + 2*h - h + 0*h. Let z(t) be the first derivative of -t**4/2 - 13*t**2/2 + 10. Let b(a) be the second derivative of z(a). Calculate n(b(u)). 24*u Let o(y) be the second derivative of 4*y**3/3 + 769*y. Let m(f) = -6*f - 7. What is m(o(g))? -48*g - 7 Let w(s) = 12*s**2. Let d(u) be the third derivative of u**5/20 + 62*u**3/3 + 20*u**2 - 2*u. Let n(v) be the first derivative of d(v). What is n(w(z))? 72*z**2 Let t(m) = -5*m + 26328 - 13272 - 13168. Let i(w) = -2*w**2. Give t(i(l)). 10*l**2 - 112 Suppose 3*n + 0 = 4*s - 36, -56 = -5*s + n. Let c(y) = s*y - 6*y - 2*y - 3*y. Let r(k) = -7*k. Give r(c(o)). -7*o Let s(c) = -3 - 4 - 6 + 7 + 2*c**2 - 5*c + 1. Let g = -1 + 3. Let u(v) = v**2 - 2*v - 2. Let p(l) = g*s(l) - 5*u(l). Let x(h) = 17*h**2. Calculate x(p(w)). 17*w**4 Let s(u) = -u**2 - 1340*u - 2. Let r(o) = 341*o + 1. Calculate r(s(v)). -341*v**2 - 456940*v - 681 Let a(b) = -b**2 - 14*b - 4. Let o(t) = 79*t + 18. What is a(o(m))? -6241*m**2 - 3950*m - 580 Let w(b) = -267*b**2. Let q(t) = 831*t**2 - 278*t**2 - 276*t**2 - 268*t**2. Determine w(q(y)). -21627*y**4 Let m(z) be the second derivative of z**4/4 + 4*z + 31. Let q(k) be the first derivative of 4*k**3 - 1. Calculate m(q(h)). 432*h**4 Let x(n) be the third derivative of n**4/24 - 1217*n**2. Let j(d) = 1087*d**2. Calculate j(x(m)). 1087*m**2 Let c(q) = -13*q**2 + 3*q + 13. Let f(n) = -15*n**2 + 4*n + 11. Let k(a) = -4*c(a) + 3*f(a). Let x(b) be the first derivative of -b**3/3 + 47. Give k(x(j)). 7*j**4 - 19 Let v(m) = 2*m**2. Let o be (20/25)/(3/(30/(-4))). Let u = 88 + -295. Let b(x) = 25*x. Let y(d) = -2576*d. Let h(f) = o*y(f) + u*b(f). Calculate v(h(n)). 1058*n**2 Let m(g) be the second derivative of 3*g**4 - 6*g. Let p = -26 - -28. Let k(j) = 2*j**2 - 5*j**2 + j**p + j**2. Calculate m(k(l)). 36*l**4 Let m(f) = 127*f**2 + 15*f + 6. Let v(h) = -2*h**2 - 3*h - 1. Let p(b) = -m(b) - 5*v(b). Let u(i) = 9*i**2. Determine u(p(t)). 123201*t**4 + 2106*t**2 + 9 Let z(m) = 2*m**2. Let d(s) = 14999*s**2 + 95*s - 8. Determine d(z(q)). 59996*q**4 + 190*q**2 - 8 Let d(i) = 2*i. Let a = -19/543 - -2753/1086. Let r(m) be the second derivative of -7/6*m**3 + 0 + a*m**2 - 9*m. Calculate r(d(x)). -14*x + 5 Let k(u) be the first derivative of -3*u**3 + 2462. Let o(m) = 23*m + 1. Determine k(o(y)). -4761*y**2 - 414*y - 9 Let d(u) = -8*u**2 + 270*u - 18. Let a(x) = -14*x**2 + 480*x - 32. Let w(y) = -9*a(y) + 16*d(y). Let p(g) = 7 - 3 + 5*g - 4*g. Calculate p(w(m)). -2*m**2 + 4 Suppose -5*s - 5*i + 27 = -8, -5*i = -2*s. Let h(r) = -2*r + 2 - s + 3. Let f(a) = 117*a. Give f(h(m)). -234*m Let z(c) = c. Let h(l) = 10*l**2 + 15*l + 19. Let i(s) = 3*s**2 + 3*s. Let x(w) = h(w) - 5*i(w). Calculate z(x(v)). -5*v**2 + 19 Let f(c) = -6*c**2. Let i(r) = 9*r - 9. Suppose 53 = o + 58. Let a(n) = -5*n + 5. Let y(m) = o*a(m) - 3*i(m). What is f(y(p))? -24*p**2 + 48*p - 24 Let w(q) = 1566*q**2. Let d(o) = 120*o - 4. Let y(f) = -657*f + 22. Let s(x) = 11*d(x) + 2*y(x). Give w(s(u)). 56376*u**2 Let v(c) = 17 - 30 + 38*c + 13. Let b(z) be the second derivative of -z**4/12 - 134*z. Determine v(b(j)). -38*j**2 Let a(y) = -54*y - 2. Let b(i) = -i**2 + 6*i - 12. Let o be b(6). Let f be a(o). Let v(p) = -f + 646 + 7*p**2. Let t(z) = z. Give v(t(r)). 7*r**2 Let x(c) = 2*c - 1. Let n(p) be the first derivative of -11*p**2 + 12*p - 10. Let k(i) = -n(i) - 12*x(i). Let t(r) = -5*r. Calculate t(k(u)). 10*u Let y(m) = -42*m**2. Suppose -4*o = -3*o - 4*p - 22, -2*p = 5*o. Let f(q) = 17*q - 25*q + 8*q - q**o. What is y(f(n))? -42*n**4 Let j(n) = -n**2. Let g(q) = -139530*q - 12. Give g(j(m)). 139530*m**2 - 12 Let p(t) = 95*t - 2. Let a(g) = -669*g + 14. Let k(h) = 2*a(h) + 15*p(h). Let l(s) = 8*s**2. Determine k(l(y)). 696*y**2 - 2 Let h(o) = 287*o. Let m(k) = k**2 + 6. Let c(l) = 5*l**2 + 16. Let u(p) = -3*c(p) + 8*m(p). Calculate u(h(n)). -576583*n**2 Let n(l) = 19575623*l**2. Let j(y) = -12*y**2. Calculate j(n(p)). -4598460190057548*p**4 Let k(m) = 29*m. Let w(r) = -6*r - 1. Let t(v) = -k(v) - 2*w(v). Let a(l) = -10*l. Give t(a(x)). 170*x + 2 Let h(q) be the third derivative of -137*q**5/60 - 7*q**2 + 654. Let j(r) = -54*r**2. Give h(j(d)). -399492*d**4 Let x(v) = 10*v. Let f(r) = -4271792*r**2. Give x(f(m)). -42717920*m**2 Let d(v) = 370*v - 168*v - 198*v. Let y(w) = -5*w**2 + 16. Calculate d(y(p)). -20*p**2 +
{ "pile_set_name": "DM Mathematics" }
es after 10:34 PM? 7:14 AM How many minutes are there between 6:42 AM and 9:03 AM? 141 What is 719 minutes after 6:24 PM? 6:23 AM How many minutes are there between 4:04 PM and 9:02 PM? 298 What is 470 minutes before 4:13 PM? 8:23 AM How many minutes are there between 9:52 PM and 2:17 AM? 265 What is 492 minutes before 11:54 PM? 3:42 PM What is 342 minutes before 3:16 PM? 9:34 AM What is 253 minutes after 4:11 AM? 8:24 AM What is 353 minutes before 4:56 AM? 11:03 PM What is 702 minutes after 6:52 AM? 6:34 PM How many minutes are there between 10:41 AM and 9:57 PM? 676 How many minutes are there between 11:28 AM and 6:13 PM? 405 How many minutes are there between 7:28 PM and 7:17 AM? 709 What is 374 minutes before 5:59 AM? 11:45 PM How many minutes are there between 1:22 AM and 11:14 AM? 592 How many minutes are there between 7:52 AM and 8:43 AM? 51 What is 14 minutes after 9:56 AM? 10:10 AM What is 508 minutes before 1:05 PM? 4:37 AM What is 103 minutes after 10:18 AM? 12:01 PM What is 553 minutes before 11:37 AM? 2:24 AM How many minutes are there between 12:35 PM and 8:23 PM? 468 What is 697 minutes before 6:57 AM? 7:20 PM What is 508 minutes before 7:11 AM? 10:43 PM How many minutes are there between 11:57 PM and 1:52 AM? 115 What is 154 minutes before 3:42 AM? 1:08 AM What is 549 minutes before 7:33 AM? 10:24 PM How many minutes are there between 11:23 PM and 1:26 AM? 123 How many minutes are there between 8:06 AM and 9:35 AM? 89 What is 313 minutes after 2:12 PM? 7:25 PM What is 530 minutes before 12:13 AM? 3:23 PM What is 9 minutes before 10:32 AM? 10:23 AM How many minutes are there between 5:27 AM and 4:42 PM? 675 What is 488 minutes after 11:28 AM? 7:36 PM How many minutes are there between 3:56 PM and 6:06 PM? 130 What is 457 minutes before 2:08 PM? 6:31 AM What is 141 minutes before 8:55 PM? 6:34 PM What is 609 minutes after 11:03 AM? 9:12 PM What is 458 minutes after 10:40 PM? 6:18 AM What is 570 minutes after 12:55 PM? 10:25 PM How many minutes are there between 5:55 PM and 11:22 PM? 327 What is 583 minutes after 12:48 AM? 10:31 AM What is 504 minutes after 12:24 AM? 8:48 AM How many minutes are there between 6:35 AM and 8:25 AM? 110 What is 321 minutes after 12:48 AM? 6:09 AM What is 491 minutes after 3:56 AM? 12:07 PM What is 195 minutes after 1:37 PM? 4:52 PM How many minutes are there between 6:11 AM and 1:59 PM? 468 How many minutes are there between 8:59 AM and 10:21 AM? 82 How many minutes are there between 6:29 AM and 12:13 PM? 344 What is 128 minutes before 11:23 PM? 9:15 PM What is 354 minutes after 10:27 PM? 4:21 AM What is 620 minutes after 6:17 AM? 4:37 PM What is 657 minutes after 8:21 PM? 7:18 AM How many minutes are there between 2:31 AM and 1:14 PM? 643 How many minutes are there between 3:16 PM and 7:30 PM? 254 How many minutes are there between 6:53 PM and 5:40 AM? 647 How many minutes are there between 12:26 PM and 5:03 PM? 277 How many minutes are there between 10:14 AM and 5:47 PM? 453 What is 443 minutes after 1:58 PM? 9:21 PM What is 423 minutes after 12:27 AM? 7:30 AM What is 456 minutes after 1:08 PM? 8:44 PM How many minutes are there between 8:07 PM and 5:25 AM? 558 What is 675 minutes before 10:45 AM? 11:30 PM How many minutes are there between 10:37 PM and 7:50 AM? 553 What is 526 minutes after 7:02 PM? 3:48 AM What is 194 minutes after 9:16 AM? 12:30 PM What is 399 minutes before 11:40 AM? 5:01 AM What is 591 minutes before 11:37 PM? 1:46 PM How many minutes are there between 9:25 PM and 5:12 AM? 467 How many minutes are there between 6:23 PM and 11:51 PM? 328 What is 38 minutes after 3:38 AM? 4:16 AM What is 254 minutes after 12:23 AM? 4:37 AM What is 480 minutes after 1:17 PM? 9:17 PM How many minutes are there between 12:59 AM and 6:59 AM? 360 How many minutes are there between 10:19 AM and 5:57 PM? 458 What is 10 minutes before 1:59 AM? 1:49 AM How many minutes are there between 11:49 AM and 3:04 PM? 195 How many minutes are there between 7:00 PM and 10:15 PM? 195 What is 11 minutes after 12:13 PM? 12:24 PM What is 624 minutes after 9:56 AM? 8:20 PM What is 400 minutes before 9:15 PM? 2:35 PM What is 505 minutes after 7:32 AM? 3:57 PM What is 40 minutes after 11:42 AM? 12:22 PM How many minutes are there between 11:46 PM and 10:09 AM? 623 What is 585 minutes before 11:15 PM? 1:30 PM How many minutes are there between 12:24 PM and 3:16 PM? 172 How many minutes are there between 6:32 AM and 2:19 PM? 467 What is 82 minutes after 5:46 PM? 7:08 PM What is 115 minutes after 4:57 PM? 6:52 PM What is 532 minutes before 12:11 PM? 3:19 AM What is 167 minutes before 11:41 AM? 8:54 AM What is 520 minutes after 8:45 PM? 5:25 AM How many minutes are there between 10:06 PM and 2:09 AM? 243 What is 705 minutes before 11:57 AM? 12:12 AM What is 557 minutes after 4:27 AM? 1:44 PM How many minutes are there between 1:33 AM and 3:45 AM? 132 How many minutes are there between 5:48 PM and 1:07 AM? 439 What is 387 minutes after 3:03 AM? 9:30 AM How many minutes are there between 7:37 AM and 8:31 AM? 54 What is 462 minutes after 3:09 AM? 10:51 AM How many minutes are there between 11:02 AM and 8:45 PM? 583 What is 320 minutes before 9:57 AM? 4:37 AM How many minutes are there between 8:11 PM and 10:36 PM? 145 What is 576 minutes after 7:23 PM? 4:59 AM How many minutes are there between 8:55 AM and 6:28 PM? 573 How many minutes are there between 2:52 AM and 7:03 AM? 251 What is 660 minutes after 1:42 AM? 12:42 PM How many minutes are there between 7:39 AM and 4:59 PM? 560 What is 291 minutes after 7:08 AM? 11:59 AM How many minutes are there between 12:22 PM and 2:22 PM? 120 How many minutes are there between 12:22 PM and 2:54 PM? 152 What is 160 minutes after 5:48 PM? 8:28 PM What is 588 minutes before 7:45 PM? 9:57 AM How many minutes are there between 4:10 AM and 3:30 PM? 680 How many minutes are there between 7:13 PM and 6:05 AM? 652 How many minutes are there between 1:58 PM and 1:30 AM? 692 What is 418 minutes before 8:18 PM? 1:20 PM What is 596 minutes before 3:57 AM? 6:01 PM How many minutes are there between 1:38 PM and 6:53 PM? 315 How many minutes are there between 10:25 PM and 9:45 AM? 680 How many minutes are there between 11:55 PM and 10:31 AM? 636 How many minutes are there between 2:01 PM and 9:05 PM? 424 What is 524 minutes after 8:54 PM? 5:38 AM How many minutes are there between 7:50 AM and 5:28 PM? 578 How many minutes are there between 5:58 AM and 2:53 PM? 535 How many minutes are there between 2:44 PM and 3:09 PM? 25 How many minutes are there between 1:12 AM and 4:55 AM? 223 How many minutes are there between 10:11 PM and 8:08 AM? 597 How many minutes are there between 9:41 AM and 7:28 PM? 587 What is 303 minutes before 2:46 PM? 9:43 AM What is 385 minutes before 6:40 PM? 12:15 PM How many minutes are there between 9:25 PM and 6:34 AM? 549 What is 211 minutes before 5:48 AM? 2:17 AM How many minutes are there between 12:38 PM and 11:30 PM? 652 What is 543 minutes before 3:27 PM? 6:24 AM What is 317 minutes before 5:15 PM? 11:58 AM What is 155 minutes before 2:31 PM? 11:56 AM What is 77 minutes before 5:56 PM? 4:39 PM How many minutes are there between 4:59 PM and 3:06 AM? 607 What is 549 minutes before 7:21 PM? 10:12 AM How many minutes are there between 10:19 PM and 9:22 AM? 663 How many minutes are there between 2:25 PM and 1:43 AM? 678 How many minutes are there between 12:43 AM and 1:35 AM? 52 What is 315 minutes before 11:28 PM? 6:13 PM What is 302 minutes before 6:03 PM? 1:01 PM What is 331 minutes before 2:59 PM? 9:28 AM How many minutes are there between 12:24 PM and 3:04 PM? 160 How many minutes are there between 1:05 AM and 3:37 AM? 152 How many minutes are there between 4:22 PM and 5:10 PM? 48 How many minutes are there between 1:48 AM and 6:22 AM? 274 What is 149 minutes after 12:23 PM? 2:52 PM How many minutes are there between 6:39 PM and 6:49 PM? 10 What is 260 minutes before 11:53 AM? 7:33 AM What is 687 minutes before 8:37 AM? 9:10 PM What is 704 minutes before 12:19 AM? 12:35 PM What is 240 minutes before 9:33 PM? 5:33 PM What is 719 minutes before 11:59 PM? 12:00 PM How many minutes are there between 8:28 AM and 10:09 AM? 101 What is 54 minutes before 7:34 AM? 6:40 AM What i
{ "pile_set_name": "DM Mathematics" }
arest to -0.5 in d, -5, 0.2? d Let n(v) = -v**3 + 28*v**2 + 22*v + 211. Let w be n(29). Which is the closest to 1? (a) 1/3 (b) -0.3 (c) w a Let g = 0 - -0.2. Let b = -34874.5 + 34874.3. What is the nearest to 1 in g, -3, -1, b? g Let f = 105.57 - 103.57. Let h = 4.11 + -0.11. What is the nearest to -1/2 in 3, -0.4, h, f? -0.4 Let l = -77 + 387/5. Let k(c) = 9*c - 11. Let p be k(-4). Let s = -330/7 - p. What is the nearest to 1/4 in l, s, 3? l Let w = -217.0516 - -0.0516. Let y = 217.2 + w. Which is the closest to y? (a) 4 (b) 5 (c) -2 c Let j = 0.284 - 0.21. Let d = -0.474 + j. Suppose -2*h + 7 - 9 = 0. What is the nearest to -0.1 in h, -0.8, d? d Suppose -k - 5*y = 4, 167*y = 4*k + 165*y + 38. Which is the nearest to -2? (a) -1 (b) 6 (c) k a Suppose 60*p - 24 + 88 = 64*p. What is the nearest to p in -0.05, -3/2, -0.5, 4? 4 Let k(h) = -3*h - 5. Let z be k(-2). Suppose 11*c + z = 12*c. Let x = -61/6 + 179/18. What is the nearest to c in 1/5, x, -1? 1/5 Let u = 642/7 + -92. Let r = 5.1705 - 0.1705. Which is the nearest to 1/3? (a) -5 (b) r (c) u c Let u = -352 - -495. Let m = u + -138. Which is the nearest to 6? (a) m (b) -0.1 (c) -1/2 a Let j = 5514 + -5507. Which is the closest to 3/5? (a) -0.1 (b) j (c) -0.5 (d) -0.4 a Let f(d) = d**2 - 9*d. Let q be f(6). Let j be (-3)/(-3) - (-22)/q. Let i = 245 - 240. Which is the closest to j? (a) 0.2 (b) i (c) 0.4 a Let o = 59 + -78.1. Let w = -15.1 - o. Which is the closest to -1? (a) w (b) -0.05 (c) -7 b Let n = -60.14 - -61.14. Let w = 7 - 7.3. Let q = 331/132 - 1/132. Which is the closest to q? (a) 2/5 (b) n (c) w b Suppose 8*i = 6*i + 128. Let u = i + -60. Suppose 0 = -3*k - u - 5. Which is the closest to k? (a) -1/3 (b) -3 (c) 0.2 b Let w = -1673 - -1673.5. Which is the nearest to 1? (a) 1/147 (b) w (c) -2 b Suppose 4*b - 5*u = 35, 2 = b - 2*u + 3*u. Let k = 4.132 - 4.432. What is the nearest to 2/11 in b, 3, k, -0.1? -0.1 Let y be -1*153/270 - (-21)/15. Let n be -1 + 0 + (-13)/(-15). Let v = 0.1 + -0.2. What is the nearest to v in n, -8, y? n Let b = -0.5 - -0.6. Let t = -33.78 + 32.78. What is the closest to b in -4, 5/2, t? t Let j = -57 + 287/5. Let z = 42 + -126. Let k = -86 - z. Which is the nearest to 1? (a) k (b) 1 (c) j b Let k = 7359.1 - 8189. Let w = k - -830. Let g(i) = -i**3 + 5*i**2 + 7*i - 4. Let l be g(6). Which is the closest to w? (a) l (b) 3/8 (c) 5 b Let h = 18086 - 18085.5. What is the nearest to -10 in 0.51, h, -4? -4 Let a = 13.4 + -10.4. What is the closest to 2 in 1/34, a, -1/4, -3? a Let s = 4.15307 + -0.15307. Let g(v) = v**2 + 8*v + 8. Let t be g(-6). Let x = 0.5 - -0.5. Which is the closest to s? (a) x (b) 2/5 (c) t a Let f = -2885 - -2881. Which is the closest to f? (a) -1 (b) 2/5 (c) 1/2 (d) 3/7 a Suppose -5*y = 10, y + 1 + 9 = 2*j. Let m = 2.04 + -0.04. Let q = -66/3233 - 6004/22631. What is the nearest to j in q, m, 2/7? m Let y = -0.34 + -0.06. Let r = -3531/20648 - 1/712. Let k = -135/58 + r. Which is the nearest to k? (a) 0.4 (b) y (c) -0.1 b Let z(a) = 2*a**2 - 17*a - 7709. Let g be z(-58). Let p be 27/(-4) - (-1)/(-4). Let s(t) = t**3 + t - 1. Let d be s(0). What is the nearest to 0.2 in g, d, p? d Let g = 1343 - 1161.6. Let y = g - 181. What is the closest to y in -0.4, -0.09, -0.3? -0.09 Let j = -166225/6 - -27704. Let m be ((-25)/(-45))/((-3)/9). Which is the nearest to 1? (a) -1 (b) j (c) 2/15 (d) m c Let r = 19737 + -19736. Let m = -13 - -9. What is the nearest to r in 2, m, 0.1? 0.1 Let o = -3.02 - -3. Let v = -9.2231 + 9.6231. What is the closest to -0.1 in -5, v, o? o Let b = -34 - 4. Let h = 39 + b. Let r = 3 + h. What is the closest to 1 in r, -0.04, -0.3? -0.04 Let z be (-1)/(-2)*1/2. Let o(a) = -a**3 + a**2 - a + 330. Let r be o(0). Let q = -303 + r. What is the closest to q in -3, 3, z? 3 Let i = 281.302 - 281.402. Let g = 6.4 + -6. Which is the closest to i? (a) 2 (b) 0 (c) g (d) -0.1 d Let v = -13.86138 - 0.13862. Which is the closest to -1? (a) -0.1 (b) 0.5 (c) v a Suppose 2*s + 486 - 475 = -3*y, -2*y - 3*s = 19. What is the nearest to -1 in -1/6, -0.5, y, 0.4? -0.5 Suppose 0 = 2*i + v - 26, 5*i + 0*v - 95 = 5*v. Let f be ((-6)/5)/(6/i). Let z = -2748 + 2744. Which is the nearest to -2? (a) z (b) f (c) -13 b Let q = 1.2 - 1.4. Let r = 8 - 66. Let k = r + 59. Which is the nearest to k? (a) q (b) -1 (c) -5 a Let i = -0.13 + 0.23. Let p = -2700 - -2711. Which is the nearest to 2/3? (a) 5 (b) i (c) p b Let o = -283 + 282.9. What is the closest to o in 4/29, -2, 2? 4/29 Let d(w) = w**3 - 4*w**2 - 8*w + 4. Let t be d(5). Let a = t + 12. Let n = -81 - -83. What is the nearest to 2/9 in n, a, 0.5? 0.5 Let w = -49 - -54. Suppose 4*s = 4*y + 1 + 3, w*s - 15 = -5*y. Let j = 67/3 - 23. Which is the closest to s? (a) j (b) -5 (c) -1 a Let n be -8 - 24/(-2) - (7 - 5). Suppose 0 = -s + 4*q + 18, 5*s = 2*q + 2 + 16. Let l be -2 + s + (3 - 1). What is the nearest to n in l, -0.4, 0.3? l Let g = 26150 + -26146. What is the nearest to 39 in -5, 2/35, g? g Let h = 25841 + -25840.8. Let a = -6.2 - 0.8. What is the closest to -2/13 in 3, h, a, -0.4? -0.4 Let z(n) = -n**2 - 28*n - 99. Let o be z(-24). Which is the nearest to -3? (a) -1 (b) o (c) -3/8 b Let m = 11 + -10.92. Let o = -4.08 + m. Let h be (-2)/(-14) + 66/(-462). What is the nearest to h in -17, o, -0.5? -0.5 Suppose 18*n - 33 = 22*n + 5*b, 4*n = 2*b + 2. What is the nearest to -0.1 in 0.2, 4.8, n? 0.2 Suppose -2*p = -367 + 349, -1 = 5*w + p. Let x = 0.3 - 0.1. What is the nearest to x in -3/5, -0.4, w? -0.4 Let d = 338.3 - 335.3. What is the nearest to -2 in d, 2/5, 0.3, 91? 0.3 Let v = -2.5898 + 0.0378. Let p = 0.448 - v. Let w = -1.77 - -1.7. What is the nearest to -2/9 in w, -2, p? w Suppose 2*r = -3*r - 5. Let p = -11112 + 11110. Which is the nearest to -16? (a) -3/5 (b) p (c) r b Let m = 8473580 - 16091327971/1899. Let i = m + -3/211. Let t be (-5)/4*1/(-5). What is the nearest to t in 1/2, 1, i? i Let r = -2227 - -2231. What is the closest to 0 in 0.4, r, -1/5, 3? -1/5 Let k = -2579 - -2551. Which is the nearest to 1? (a) k (b) -1 (c) -2/5 c Let x be (-408)/(-16)*8/6. Let y be (x/(-68))/(22/8). Which is the closest to 0.1? (a) y (b) -1 (c) 0 (d) -2/7 c Let t be (9 - 2)*18/(-21)*-1. Let m = 29 + -31. Let k be (2 + -3)*(-18)/(-45)*1. What is the nearest to t in k, 4, m? 4 Let p = 126 + -126.1. Let a = -0.97 + -2.79. Let v = 0.24 - a. What is the nearest to 2 in p, 2/11, v? 2/11 Let k = -1047.581 - -1048. Let h = 0.319 - k. What is the nearest to h in -0.4, 3, 8? -0.4 Let j = 244 - 243.5. Let n = 72 - 39. Let t be (-2 + n/18)*1. Which is the closest to 1/5? (a) t (b) -0.2 (c) j c Suppose -3 + 2 = x. Let q = x - 2. Let f(l) = 595*l - 4164. Let w be f(7). What is the nearest to 0.1 in q, w, -1/3? -1/3 Suppose 108 = -4*k + 2*v, 878 = k + v + 905. What is the nearest to -1 in -2/7, 5, k? -2/7 Let x = 19725 + -19732. What is the closest to -0.1 in 4/41, x, 0.3? 4/41 Let y be (-2)/1 - (-16)/10. Let x = -21748 + 21749.4. Which is the closest to 0.1? (a) 0 (b) y (c) x a Let o = 317 - 313. Suppose 13*k = 3*k + 10. Which is the nearest to k? (a) 1 (b) 2/5 (c) -0.2 (d) o a Let u = -159 - -1111/7. Which is the closest to -0.4? (a) u (b) 0.4 (c) 0.2 (d) 3/7 a Let m = -66127 + 529013/8. Suppose -6*h + h = -10. Which is the closest to 3? (a) 3/5 (b) m (c) h (d) 1 c Let q = -1.317 - -2.317. Which is the closest to q? (a) 2 (b) -0.4 (c) 0.324 c Let i = 98 + -102. Let r = 17 + -8. Let z be -1*r*1/3. Which is the nearest to 1? (a) i (b) z (c) 4 c Suppose 0*c = 4*c + 7*c. Suppose c = -7*u + 2*u + 115. Suppose 5*l - 2*j = 5 + u, -12 = -5*l - 2*j. What is the closest to -0.1 in -5, l, 1/5? 1/5 Let o = -3919 + 3919.1. Let i = 8.2 + -0.2. Let j = i - 13. Which is the nearest to o? (a) 0.5 (b) 0 (c) j b Let h be -2*14/(-4) + (-4 - 975/351). What is the nearest to 2 in -7, h, 0? h Let z = 2.129 - 2.04. Let p = z - -3.911. Let y = 3.3 - 3. What is the nearest to 1 in y, p, 5? y Let o be 6/(-20) + 117/90 + 0 + -1. What is the closest to o in 0.12, 6, 1/5, 4? 0.12 Let h = -4513 - -4515.25. Which is the closest to 2/3? (a) 0.5 (b) 5 (c) h (d) -1 a Suppose 0 = p + 5*k + 40, 158*p = 153*p - 3*k - 46. Which is the c
{ "pile_set_name": "DM Mathematics" }
26. Let c be w(n). Calculate the highest common divisor of c and m. 10 Let h be (-166)/1328 - (-561)/8. Let d(u) = u**2 + 5*u - 4. Let n be d(-7). Calculate the highest common divisor of h and n. 10 Let f be (-4)/(-5)*20/8. Suppose 12 = -f*m + 3*m. Calculate the greatest common factor of 96 and m. 12 Let z be (-21)/(-35) - (-23)/(-5). Let b be ((-252)/45)/(z/50). Suppose 0 = n - 3*u - 69, n = -2*u + 4*u + b. Calculate the highest common factor of 18 and n. 18 Let m(p) be the second derivative of -p**5/20 + 2*p**4/3 + p**3/2 + 3*p**2 - 16*p. Let s be m(8). What is the greatest common divisor of 12 and s? 6 Let g(u) = 3*u**3 + 13*u**2 - 2*u + 2. Let y be g(-3). What is the highest common factor of 8 and y? 4 Let n be 3/4*(2 - 6). Let f be n*(0 + -2) + (-43 - -39). Calculate the greatest common factor of 8 and f. 2 Let f be 56/49 + (-6560)/(-140). What is the highest common factor of 15 and f? 3 Let o = -722 + 1018. What is the greatest common divisor of o and 48? 8 Suppose 0 = -v - v + 14. Let b be 13 + -2*2/(-6 + 2). What is the highest common factor of b and v? 7 Let k(z) = -z**2 - 8*z. Let q be k(-8). Suppose -3*m + m + 154 = q. Let j = -19 + 30. Calculate the highest common factor of j and m. 11 Let u(w) = -w**2 + 3*w - 279. Let n be u(0). Let j = n + 479. Calculate the highest common divisor of j and 80. 40 Suppose 0 = -26*h + 29*h - 6. Suppose -20 = -4*o, -p - h*p = -2*o - 17. What is the greatest common factor of 1 and p? 1 Let l(u) = 4*u + 17. Let h be l(-4). Let z be (-8 + 112)/((-3 + h)/(-4)). What is the highest common divisor of z and 26? 26 Let m = -13 - -18. Let q be 3/2 - 44/8. Let d be (315/14)/((-2)/q). What is the greatest common divisor of d and m? 5 Suppose -10 + 18 = -4*s. Let h be s/3*(-2 - 1). What is the greatest common factor of 10 and h? 2 Suppose 2*a = y + 12, -2*a = -5*y + 2*y - 4. Let n be -15*(-14)/(-63)*6*-1. What is the highest common divisor of a and n? 4 Suppose 0 = -16*g - 16*g + 640. Calculate the highest common factor of 1580 and g. 20 Let x be (75*2)/(26 - 24). What is the highest common divisor of 195 and x? 15 Suppose 0 = -3*z + 5 + 4. Suppose z*o - 7*o + 48 = 0. Calculate the highest common factor of 4 and o. 4 Let d be (-14)/(-28)*(-2 + 4). What is the greatest common divisor of d and 1? 1 Suppose 0 = 2*r - 0*r + 6. Let b(u) = -u**3 + 2*u**2 + 5*u - 1. Let k be b(r). Let j = -15 + k. Calculate the greatest common divisor of j and 14. 14 Let j = 53 - 47. Suppose j*x = -5 + 203. Let o(s) = -s**3 + 8*s**2 - 6*s - 3. Let p be o(6). Calculate the highest common divisor of x and p. 33 Let y be ((-4)/3)/((-6)/(-9)) - -192. Calculate the greatest common factor of y and 30. 10 Let k be ((-48)/15)/((-4)/30). Suppose -4*p - 5*y + 0 = -1031, -4*p + 1066 = -2*y. Calculate the greatest common divisor of p and k. 24 Let v(w) = w**3 + 6*w**2 - w + 6. Let f be v(-6). Suppose 0 = 3*l + 5*i - 119, 3*i + 101 + 154 = 5*l. What is the highest common factor of f and l? 12 Let u = -847 - -1119. Calculate the highest common divisor of 16 and u. 16 Let r(k) = 20*k**2 + 6*k - 26. Let x be r(-4). What is the greatest common divisor of x and 60? 30 Suppose -28*v + 20676 = -22360. Calculate the highest common divisor of 53 and v. 53 Let r be 2 - (4 - (70 + 2)). What is the greatest common factor of r and 20? 10 Let g = 8 - -16. Let z = g + -17. Calculate the greatest common divisor of 35 and z. 7 Let b(u) = 8*u + 142. Let q be b(-11). What is the highest common factor of q and 24? 6 Let n = 2 - -5. Suppose 585 + 185 = 10*s. What is the greatest common divisor of s and n? 7 Suppose -3438 + 160 = -5*o - 3*b, -3*o = -3*b - 1986. What is the highest common divisor of 42 and o? 14 Let n = 1 - -13. Let m = -515 + 536. Calculate the greatest common divisor of n and m. 7 Let h(b) = -3*b - 12. Let a be h(-4). Let t be 17 + a*5/10. Calculate the greatest common divisor of t and 119. 17 Suppose 4*d + 6 = 7*d. Suppose -d*l = -l. Let q be 6 - (-2 + (1 - l)). Calculate the greatest common divisor of 28 and q. 7 Let m be 24*(-5 + 3) + 4. Let l be (15/(-12))/5*m. Calculate the highest common factor of 121 and l. 11 Let p(l) = -l**2 + 6*l - 16. Let r be p(6). Let n be 12/(4 - (-52)/r). What is the highest common divisor of n and 24? 8 Suppose -3*i + 8 = i + 2*n, i = -n. Suppose -5*f = 5*s + 5, 4*s = f + 6 - 5. Let m = f - -17. Calculate the highest common factor of m and i. 4 Let f = 20 - 9. Let q be ((-2)/(-8))/(16/(-448)) - -51. What is the greatest common factor of f and q? 11 Let s be -5*(12 + 138/(-10)). Suppose -5*h + l = -87, -h + l - 3*l = -24. Calculate the greatest common divisor of h and s. 9 Let v be (3/(-1))/((-6)/12). Suppose -94 + v = -n. Suppose 5*c + s = -3*s + 59, -2*c = -s - 21. What is the greatest common factor of c and n? 11 Let r = -31 + 28. Let n = r + 10. What is the highest common divisor of n and 63? 7 Suppose -6 = -4*f - 3*k + 7, -4*f + 4*k = -48. What is the highest common factor of 91 and f? 7 Suppose 37 - 380 = 3*t - 4*y, -2*t - 229 = -3*y. Let a = t - -127. What is the highest common divisor of a and 126? 14 Let a(m) = m**2 - 9*m + 11. Let o be a(7). Let r be o/9 + 391/3. Let z = 46 - 20. What is the greatest common divisor of r and z? 26 Suppose 0 = 48*w - 22*w - 3120. What is the greatest common factor of w and 75? 15 Let f(h) = -h**3 - 34*h**2 - 66*h + 8. Let p be f(-32). Let v = -23 - -41. Suppose 4*d = 2*d + v. What is the highest common divisor of d and p? 9 Suppose -o + 308*y = 311*y - 64, 64 = o + 4*y. Suppose 5*s + 2 - 42 = 0. What is the highest common factor of s and o? 8 Suppose 13 = 2*i + 7. Let h be (-21)/7*(-7)/i. Suppose -3*q - 2*p + 61 = -h*p, -7 = -q - p. Calculate the greatest common divisor of q and 60. 12 Suppose v = -0*b + 3*b - 87, -261 = 3*v + 2*b. Let u = v + 189. Calculate the greatest common divisor of u and 34. 34 Let d be (-335321)/(-42) + 1/18*3. Let x be d/56 - 6/(-14). Let k = 4 - -9. What is the highest common factor of x and k? 13 Let r = -466 + 478. Suppose -6*y + 438 = -2*y - 2*v, 2*v = -5*y + 534. Calculate the greatest common factor of r and y. 12 Suppose g = -5*l - 23, -2*l - 10 + 2 = g. Suppose -5*c - 5*x + 146 = -2*c, c - 34 = g*x. Calculate the highest common factor of c and 63. 21 Suppose 2*f + 8 = 0, 3*p - 3*f + 1 = 16. Calculate the highest common factor of 127 and p. 1 Let j = -1617 + 2289. What is the highest common divisor of j and 252? 84 Let j(i) = i**2 + 2*i + 4. Let m be j(4). Let o(w) = -w**3 - w**2 - 9*w - 10. Let d = 80 - 86. Let g be o(d). Calculate the greatest common factor of m and g. 28 Let a = -80 - -107. What is the greatest common divisor of 36 and a? 9 Suppose -3*r + 847 = 2*f + 3*f, f = r - 277. Calculate the greatest common factor of 124 and r. 31 Suppose 0 = -2*z - 2 - 0. Let f be (-2 + z)*20/(-6). Let i be 278/4 - (-4)/8. Calculate the greatest common divisor of i and f. 10 Suppose 2*u + 2*d = 218, 24 - 4 = 4*d. Suppose 22*f - 52*f + 780 = 0. Calculate the highest common factor of u and f. 26 Let l be 2/(-14) - (-183560)/728. What is the highest common divisor of 567 and l? 63 Let o(a) = a - 9. Let u be o(6). Let r = 27 - u. Calculate the highest common divisor of r and 15. 15 Let v = -3 + 5. Let n(m) = -m**3 + 7*m**2 + 71*m + 99. Let i be n(13). What is the highest common divisor of v and i? 2 Suppose 2*t - 2*p - 112 = 2*p, -t + 68 = -5*p. What is the greatest common factor of 9 and t? 3 Let s(y) = -y**2 - 7*y - 6*y**2 - y**3 + 1 - y**3. Let q be s(-6). Suppose -449 = -4*i + q. What is the greatest common factor of 24 and i? 24 Let j be (0 - -3) + (-7 - -6). Let a be ((-48)/(-36))/(j + 94/(-48)). What is the greatest common divisor of 80 and a? 16 Suppose 0 = 20*d - 22*d + 8. Suppose -2*w + 4*c = -3*w + 16, -d*w = 2*c - 64. Let u be (4/6)/(w/840). Calculate the highest common divisor of u and 14. 7 Let f = -28 - -41. Suppose -f = 2*h - 43. Calculate the highest common factor of 15 and h. 15 Suppose 177 = 3*k - 12. Suppose -25 = -4*y + k. Let s(r) = 15*r + 78. Let l be s(-3). Calculate the highest common factor of l and y. 11 Let m = -46 - -66. Suppose 0*i - 4*i = -z + 72, 2*z + 2*i - 114 = 0. What is the greatest common factor of m and z? 20 Let u = 174 - 30. Suppose 0 = -2*q + 2*z - 3*z + u, 3*q - 202 = 2*z. What is the highest common divisor o
{ "pile_set_name": "DM Mathematics" }
.2? 0.1 Let z = 83/2 - 42. Let h = -33.9 + 34. What is the nearest to 1 in -3/7, h, z? h Let q = -43 - -45. Suppose 6*c - q*c = -4. What is the nearest to c in 3/4, -3, -0.1? -0.1 Let u = 0.68 - 0.08. Let k be (26/(-8) - -3)*-12. Which is the nearest to 2/5? (a) u (b) k (c) 0.1 a Let c = -1 - 0. Let d = -1.3 - -4.3. Let y = 0.56 - 0.06. What is the closest to c in 0.4, y, d? 0.4 Let m be (-8)/(-24)*2/(-3). Which is the closest to m? (a) 3/7 (b) -3/31 (c) -0.3 c Suppose -4*s = -a - 3 + 4, 5*a + 13 = 2*s. Let v(f) = -6*f**2 - 16*f + 3. Let n be v(a). What is the closest to -2 in 2/13, n, -1/5? n Let w be (-3)/9*12/20. Which is the closest to 14/3? (a) 0 (b) 5 (c) w (d) -1/3 b Let u = 184 + -184.1. What is the nearest to u in -5, 2.1, -0.4? -0.4 Let t = 7/3 + -38/15. Which is the closest to -1? (a) 4 (b) 2 (c) t (d) 5 c Let x = 60.2 + -60. What is the closest to 0 in -2, -3, x? x Let u = 453 + -455. Which is the closest to 9? (a) -0.5 (b) u (c) -0.3 c Let b = 858 + -863. What is the closest to -1 in -100, b, 0.1? 0.1 Let l be -1 - -3 - 25 - 3. Let s = -185/7 - l. Which is the nearest to -1/2? (a) 0.5 (b) -0.4 (c) s c Let m = -208 + 1037/5. Let w = 498 + -497.8. Which is the closest to w? (a) m (b) 0.2 (c) -5/4 b Let s be ((-7)/14)/(2/(-8)) + 0. What is the nearest to -1 in -0.1, -1, 0.5, s? -1 Suppose 0 = 174*o - 172*o - 2. Which is the closest to o? (a) 1 (b) -0.4 (c) 3 a Let k = 277.6 - 278. Let w be (0 - -1) + (-1)/2. Which is the closest to -1/9? (a) 0.4 (b) k (c) w b Let v be (-2 - -11) + (-46)/5. Let l = -5 - -3. Let m = 2.2 + l. Which is the nearest to 0.1? (a) v (b) -2 (c) m c Let n = 7.3 + -7. Suppose 0 = 5*p - p - 108. Let x be (3 - 93/27) + 6/p. Which is the nearest to -0.2? (a) n (b) 1/2 (c) x c Let l = 1.9 + -1.2. Let j = -0.8 + l. Let f = j + 0. What is the nearest to -1 in f, 1/4, 2? f Let m = -0.2 + 0.25. Let v = 2 - 1.6. Suppose 4*o + 20 = 3*w, -o + 23*w + 2 = 24*w. Which is the nearest to 1? (a) o (b) v (c) m b Let v = -480.2 + 480. Which is the closest to -3? (a) v (b) -4 (c) 1 b Let j = -288 + 12382/43. Which is the closest to -1? (a) j (b) -0.1 (c) 1 b Let i = -3.5 - -4. Let g = -0.9 + i. Which is the closest to 3? (a) -0.2 (b) 2/9 (c) g b Let t = 46.91 + 1.09. Let g = 48.3 - t. What is the closest to 2 in g, 2/21, 2? 2 Let d = -3/481 - 71/481. Which is the closest to d? (a) 0.2 (b) 1 (c) 2 a Let f = -700 - -702. What is the closest to 1/2 in f, -88, -0.3, 4? -0.3 Let a = -411 + 415. What is the nearest to 12 in 0, a, 0.4, 0.9? a Let z be (10 - 1)*8/(-12). Let f be ((-2)/z)/((-22)/12). Let w = 29.4 + -29. What is the nearest to -2/7 in w, 2/3, f? f Let u be 1/(3 + -2) - (2 - -1). Let y = 0.1 + 0. Which is the nearest to 0.1? (a) u (b) -2/7 (c) y c Suppose 4*y - x - 21 + 3 = 0, 3*x - 6 = 0. Which is the nearest to 0.3? (a) -3/4 (b) y (c) 3 a Let n = -31 + 32. Let d = 4.975 + 0.025. What is the closest to 2/7 in d, n, -0.3? -0.3 Let f = -3.3185 + 0.3185. Let r be 1/5 + 4/10. What is the nearest to r in -3/7, 0.5, f? 0.5 Let j = 0.417 - -0.053. Let h = j + -0.27. Which is the nearest to -1/4? (a) -0.3 (b) h (c) -0.1 a Let t be (8/(-6))/((-4)/(-42)). Let f be t + 17 + (-2)/(-2). Let b = -3.3 - -1.3. What is the nearest to -2/3 in f, -3, b? b Suppose 0*k + 23 = -3*r - 4*k, 3*r - 7 = 2*k. Let j be (1*1/r)/(-1). Let m(g) = 3*g + 4. Let q be m(0). Which is the nearest to 2/7? (a) j (b) q (c) 0 c Suppose 2*d = -4*n - 22 + 12, -d - 5*n - 20 = 0. What is the nearest to -1/5 in d, -1/2, -0.4, 3? -0.4 Suppose 0*w = -2*w - 4*w. What is the nearest to 14 in -1, 0.1, w? 0.1 Let g = -1025/13 - -79. Let o = 8/45 - 17/45. What is the closest to -2 in g, o, -2? -2 Let t be 150/39 + (-24)/(-156). What is the closest to 2/9 in 2, 5, -2, t? 2 Let d = -1249 + 1253. Let u be 3/9 - 1/21. Which is the closest to u? (a) -3 (b) d (c) 0 c Let m = -879/10 + 442/5. Which is the closest to m? (a) -1/8 (b) 3 (c) -4 a Let a be -2 - (3004/(-78) - -4). Let j = 98/3 - a. Let d be (5/4)/((-10)/(-4)). What is the closest to 2/7 in 2/5, j, d? 2/5 Let v = -267 + 262. Let w = -17 - -17.1. What is the nearest to w in 1, v, -1? 1 Suppose 2*y + 14 = 4*s, 0 = 4*s - s + 3*y + 12. Which is the closest to 0? (a) 3 (b) s (c) -0.5 (d) 5/4 c Let s = 42 - 39. Let z(r) = -r + 4. Let x be z(s). Which is the closest to x? (a) 2/13 (b) 12 (c) -0.1 a Let v = -2088 + 2085. What is the nearest to 0.031 in -0.5, -2/13, v, -0.1? -0.1 Let t = 0 + 14. Let s = -13.9 + t. Which is the nearest to s? (a) -3 (b) 0.3 (c) -0.2 b Let t be 2/6*39/(-26). Let j = 1 - -4. Let i = -0.1 + 3.1. Which is the closest to t? (a) 0 (b) j (c) i a Let h be (-4)/(-6) - 11/3. Suppose -65*p = -67*p + 8. What is the nearest to 0.4 in p, -1, h? -1 Let h = -7 - -6. Let p be (-1)/3 + 8/(-3). Let i = -49 + 49. Which is the closest to h? (a) -4 (b) i (c) p b Let j = 4427 + -4423. Let p = -0.8 - -2.4. Which is the nearest to 0.2? (a) j (b) 0.5 (c) p b Let i be 1/(-4) - 6/(-8). Let o be (4 - 1)*(-6)/(-3). Let h = 83/425 + 2/425. What is the closest to i in o, 1/3, h? 1/3 Let j be ((-216)/(-378))/(50/14 + -1). What is the nearest to -0.2 in 21/4, 2/15, j? 2/15 Let c = 5950/9 - 660. Let k = -16/9 + c. What is the closest to k in -5, -0.2, -0.3? -0.3 Let b = 0.25 + 1.55. Let l = b + -1.6. Let f be (4 + 2)*(-2)/(-4). What is the closest to -1/3 in -2, l, f? l Let x be (-5)/125*-5*-4. Which is the closest to -0.2? (a) 3 (b) x (c) 0.2 c Let q = -51.05 + 51. What is the closest to -4 in -0.4, q, 3? -0.4 Let d = -20 + 33. Let j = 1 + d. Let t = j - 10. What is the nearest to -0.1 in t, -6, -3? -3 Let p = 1592.5 - 1593. Let m = 1/64 - 197/320. Which is the closest to 1/4? (a) p (b) m (c) -3 a Let n(o) = -o**3 - 6*o**2 + o + 6. Let z be n(-6). Let j = -17 - -35. Let p = j + -14. Which is the closest to 1/2? (a) 2/11 (b) p (c) z a Let p = 2.08 - -1.86. Let i = -0.06 - p. Let j = 0.29 - -3.71. What is the closest to 0.2 in 0, i, j? 0 Suppose q + 22 = 5*s - 3, -5*q + 3*s = 15. Let h = 0.03 + 8.97. Let j = h - 8.8. Which is the closest to 0? (a) j (b) q (c) 1 b Let n = 82 + -83. Let h = 9 - 3. Suppose -3*z = -z - h. Which is the nearest to n? (a) z (b) -2 (c) -1 c Let n = -32 - -223/7. Let j = 1042/7 - 145. Let f = j - 156/35. Which is the nearest to 0.05? (a) f (b) 2/13 (c) n b Let x = -0.34 - -0.18. Let d = x - -0.38. Let q = -2.22 + d. Which is the closest to 3? (a) q (b) -1/2 (c) 2/7 c Let i = 5841.2 + -5841. Let u = 6.9 + -8. Let l = -0.1 - u. Which is the nearest to l? (a) 1/6 (b) i (c) -1/5 b Let t = -97.84 + 98.34. Suppose 5*f - 10 = -5*h, -5*f = -17 - 3. Let u = 0.1 - 0.3. What is the closest to -1 in u, h, t? u Let m = 941 + -942. Let n = 6 - -6. Which is the closest to -0.2? (a) -2 (b) n (c) m c Let i = 0.48 + -0.1. Let b = -0.48 + i. What is the nearest to 2/13 in b, 2/11, 0.3? 2/11 Suppose -i = -3*h + 224, 3*h + i + 3*i = 244. Let z be -4 + -2 + h/14. Which is the closest to 2? (a) z (b) -5 (c) 6/5 c Let u = 384 + -421.6. Let y = u - -38. Which is the nearest to 0? (a) 3/7 (b) 3 (c) y c Let s = 18 + -32. Let l = -12.6 - s. Let u = 0.4 - l. What is the closest to u in 3, -3, 2/21? 2/21 Suppose 3*a - 2 = 2*t, -a = t + 2*t - 19. Suppose 5*i - t = c, 5*i + c = 6*c - 15. What is the nearest to -0.1 in i, -2/5, -0.1? -0.1 Let u = 0.3 - 0.4. Let y = -101 + 104.18. Let i = y + -0.18. What is the nearest to u in i, -1, -1/3? -1/3 Let z(r) = -r**2 + 29*r - 51. Let y be z(27). What is the nearest to -2 in 2, -4, y? -4 Let v = -0.045 - 28.255. Let k = v - -28. Let l = -11 + 15. Which is the closest to 3? (a) 1/5 (b) l (c) k b Let o be 36/(-10) + ((-806)/65 - -12). Suppose x + 0*j + 5*j - 3 = 0, 3*x = -4*j - 2. Suppose k + 4*k = 0. Which is the closest to o? (a) 3 (b) k (c) x c Let v be (-2)/16 - (-43)/(-344). Let t = -92 + 2023/22. Let r = t + -37/154. Which is the closest to v? (a) 0.5 (b) -2 (c) r c Let v be ((-4)/(-57))/(-1)*(-978)/(-652). Let f be -1*1 - 21/(-24). Which is the nearest to -0.03? (a) f (b) v (c) -0.4 b Suppose 0 = -2*i - 4*l + 16, -i + 344*l + 23 = 349*l. What is the nearest to 0.1 in -5, 0.031, -0.3, i? 0.031 Let i(v) = 7*v + 2. Let a be i(-1). What is the nearest to 0.3 in a, 2/1
{ "pile_set_name": "DM Mathematics" }
late prob of picking 2 u when two letters picked without replacement from uuuuuuuuuu. 1 Three letters picked without replacement from nnjnnnnneetnjttnjenn. What is prob of picking 2 n and 1 j? 11/76 Four letters picked without replacement from ddfeesosdssossed. What is prob of picking 1 f and 3 d? 1/455 Two letters picked without replacement from {e: 9}. Give prob of picking 2 e. 1 Two letters picked without replacement from {u: 2, m: 10}. Give prob of picking 2 m. 15/22 Two letters picked without replacement from {y: 1, v: 2, j: 3, h: 3, d: 1, c: 2}. What is prob of picking 1 y and 1 h? 1/22 Calculate prob of picking 1 s and 1 f when two letters picked without replacement from {b: 1, s: 1, d: 8, i: 2, y: 1, f: 2}. 2/105 Two letters picked without replacement from {s: 3, u: 3, r: 2, j: 10}. What is prob of picking 2 r? 1/153 Four letters picked without replacement from riidddddydddddwdedey. Give prob of picking 1 y, 1 w, and 2 d. 44/1615 Calculate prob of picking 2 a when two letters picked without replacement from {a: 9}. 1 Two letters picked without replacement from {v: 5, y: 13, t: 2}. What is prob of picking 2 v? 1/19 Calculate prob of picking 1 k and 1 h when two letters picked without replacement from ykekyhhqkrkykhy. 1/7 Calculate prob of picking 2 t and 1 e when three letters picked without replacement from etetyttyeeyee. 18/143 Calculate prob of picking 2 x when two letters picked without replacement from {x: 13, z: 6}. 26/57 Three letters picked without replacement from {g: 1, f: 2, e: 1}. What is prob of picking 1 e and 2 f? 1/4 Four letters picked without replacement from jjoojjojjjoojjjoooo. What is prob of picking 1 o and 3 j? 90/323 Calculate prob of picking 1 r, 2 s, and 1 h when four letters picked without replacement from {m: 1, i: 2, s: 3, r: 8, h: 5}. 10/323 Three letters picked without replacement from dmdmgdcdamadadai. What is prob of picking 1 g and 2 m? 3/560 Two letters picked without replacement from {k: 2, r: 11, a: 2, f: 1}. Give prob of picking 1 a and 1 k. 1/30 Two letters picked without replacement from {k: 2, m: 7, v: 2, h: 4, y: 2}. What is prob of picking 1 k and 1 m? 7/68 What is prob of picking 1 e and 1 v when two letters picked without replacement from eeveveee? 3/7 Calculate prob of picking 2 a when two letters picked without replacement from {a: 6, s: 4, w: 2}. 5/22 Calculate prob of picking 1 c and 1 x when two letters picked without replacement from {c: 5, d: 4, z: 5, x: 1}. 1/21 Calculate prob of picking 1 u and 3 p when four letters picked without replacement from uuuppppqupu. 5/33 What is prob of picking 2 t and 1 m when three letters picked without replacement from {n: 2, t: 2, m: 2, a: 6, u: 4, f: 1}? 1/340 Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {v: 1, i: 1, u: 1, o: 1, q: 2, y: 1}. 1/21 Calculate prob of picking 1 p and 1 z when two letters picked without replacement from qqqqppqqqpzpqzpz. 1/8 What is prob of picking 3 b and 1 u when four letters picked without replacement from bbbbbbub? 1/2 What is prob of picking 1 q and 1 r when two letters picked without replacement from {f: 1, q: 2, j: 1, r: 1, p: 1, e: 1}? 2/21 Three letters picked without replacement from {z: 3, x: 1, o: 7, m: 1, q: 2}. Give prob of picking 3 o. 5/52 Two letters picked without replacement from {z: 2, k: 1, v: 2, p: 4, q: 2, y: 1}. What is prob of picking 1 v and 1 z? 2/33 Two letters picked without replacement from {o: 4, v: 10, z: 2}. Give prob of picking 1 v and 1 z. 1/6 Two letters picked without replacement from npomuonw. Give prob of picking 1 m and 1 w. 1/28 Calculate prob of picking 1 l, 1 f, and 1 n when three letters picked without replacement from {f: 1, x: 2, n: 2, a: 5, l: 1, o: 4}. 2/455 Four letters picked without replacement from {q: 11, e: 9}. What is prob of picking 4 e? 42/1615 What is prob of picking 1 i and 1 p when two letters picked without replacement from ipppippoiopppopoi? 9/34 Calculate prob of picking 1 n, 1 m, and 1 c when three letters picked without replacement from mjcmmmmmjmmmnn. 9/182 Calculate prob of picking 3 q and 1 p when four letters picked without replacement from pawayqnypynyqpn. 0 Two letters picked without replacement from lnnanandlganayy. Give prob of picking 1 l and 1 a. 8/105 Calculate prob of picking 4 d when four letters picked without replacement from bdbbbbdbdbddb. 1/143 What is prob of picking 2 a when two letters picked without replacement from {p: 1, e: 1, a: 1}? 0 Four letters picked without replacement from jnjnjnjjjj. Give prob of picking 4 j. 1/6 Calculate prob of picking 1 g and 1 j when two letters picked without replacement from jvjtjttttvgttggtjtvg. 8/95 Calculate prob of picking 1 u, 1 g, 1 c, and 1 d when four letters picked without replacement from gdudcuoj. 2/35 Calculate prob of picking 4 p when four letters picked without replacement from zzpzzzzzzpzppzzzzzz. 1/3876 Three letters picked without replacement from slimssrrsllmmmrrb. Give prob of picking 1 s, 1 b, and 1 i. 1/170 Calculate prob of picking 1 u, 1 b, and 1 q when three letters picked without replacement from {q: 9, b: 3, u: 4}. 27/140 What is prob of picking 2 z and 1 p when three letters picked without replacement from {z: 2, p: 1, x: 1}? 1/4 What is prob of picking 1 g and 1 w when two letters picked without replacement from wwgwwg? 8/15 Two letters picked without replacement from hggee. Give prob of picking 2 e. 1/10 What is prob of picking 2 h when two letters picked without replacement from hnhhhhhhhhnnnhnhhh? 26/51 Calculate prob of picking 1 g, 2 n, and 1 p when four letters picked without replacement from egneenpgngeenggb. 3/182 What is prob of picking 2 y, 1 w, and 1 b when four letters picked without replacement from {b: 3, y: 2, v: 8, w: 4}? 3/595 What is prob of picking 2 c when two letters picked without replacement from {w: 5, c: 5}? 2/9 Two letters picked without replacement from {n: 1, h: 1, m: 4, w: 1, c: 3, u: 2}. What is prob of picking 1 c and 1 m? 2/11 Three letters picked without replacement from ggmmmghgmhmhmrawgg. Give prob of picking 1 m, 1 r, and 1 w. 1/136 Two letters picked without replacement from {f: 4, q: 6, h: 3, x: 4, n: 1, w: 1}. What is prob of picking 1 w and 1 h? 1/57 Four letters picked without replacement from {n: 6, e: 3, i: 2, s: 1, q: 7}. Give prob of picking 3 n and 1 i. 10/969 Three letters picked without replacement from {m: 6, u: 6}. What is prob of picking 1 m and 2 u? 9/22 What is prob of picking 1 p and 1 x when two letters picked without replacement from {x: 2, p: 3}? 3/5 Calculate prob of picking 1 w and 1 p when two letters picked without replacement from wpkkwww. 4/21 Two letters picked without replacement from iissoooidiidwoosswii. Give prob of picking 1 w and 1 s. 4/95 What is prob of picking 1 k and 1 r when two letters picked without replacement from {r: 7, f: 4, k: 2, e: 1}? 2/13 Three letters picked without replacement from wjnnwddjcgwdccdjjjcc. What is prob of picking 1 c, 1 g, and 1 d? 1/57 What is prob of picking 1 o and 1 e when two letters picked without replacement from ozeenz? 2/15 Three letters picked without replacement from wwkvkinww. What is prob of picking 1 k, 1 v, and 1 n? 1/42 Calculate prob of picking 2 g and 2 f when four letters picked without replacement from {f: 7, g: 4}. 21/55 Three letters picked without replacement from {a: 2, j: 2, v: 1, w: 1, g: 1}. What is prob of picking 2 a and 1 j? 2/35 Two letters picked without replacement from gggbgjbkkkjgk. Give prob of picking 2 g. 5/39 Two letters picked without replacement from nnh. What is prob of picking 2 n? 1/3 Three letters picked without replacement from {v: 2, m: 1, c: 4, g: 3}. Give prob of picking 1 m, 1 v, and 1 c. 1/15 Calculate prob of picking 1 d and 1 f when two letters picked without replacement from hdeof. 1/10 What is prob of picking 1 o and 3 j when four letters picked without replacement from {j: 4, o: 1, q: 1, d: 4}? 2/105 Calculate prob of picking 2 p and 1 l when three letters picked without replacement from gnplmlllppnngtg. 12/455 Two letters picked without replacement from elc. What is prob of picking 1 c and 1 e? 1/3 What is prob of picking 1 n, 1 j, and 1 b when three letters picked without re
{ "pile_set_name": "DM Mathematics" }
p, -5, 2, -2/7? p Suppose t + 20 = 5*t. Suppose 0*y - t = y. Which is the third biggest value? (a) 0.4 (b) y (c) 4/7 b Let g be (-216)/44 + (0 + -30)/(-6). Suppose 17 = -c - 4*n, c - 4 = 6*n - 3*n. Let s = 2 - 5. What is the third biggest value in g, c, s? c Let b = 4.8 - 0.8. Let s = -0.085 - -35.085. Let z = s + -38. What is the second smallest value in 3, b, z? 3 Let h = 280 - 279.8. Let t = 8 + -14. Let v = 6.4 + t. Which is the second smallest value? (a) v (b) 0 (c) h c Let w = 4 + -12. Let h = w - -8.1. Which is the second biggest value? (a) -5 (b) 1/2 (c) h c Suppose -2*t - 30 = t. Let p be (-9)/6 - 7/t. Let i = -10 - -5. What is the third biggest value in 1/4, p, i? i Let t = 0 - 0.5. Let d = 5506/17 + -324. What is the second biggest value in -1, d, t? t Let i be ((-1 - -3)/(-2))/((-3)/(-9)). What is the biggest value in 2, i, 8? 8 Suppose 28*c - 26*c - 8 = 0. What is the smallest value in 5, -3/2, c? -3/2 Let q = 1.5 - 1.8. Let f = -1 - 0. What is the second smallest value in f, q, -4/5? -4/5 Let b = -1 + 2. Let l = 7 - 6. Let q = l - 0.5. What is the smallest value in b, q, -0.3? -0.3 Let v = -0.49 - -0.69. What is the third biggest value in 4, 0.3, v? v Let o = -3/17 - -7/136. Let c = 0.3 - 0.3. What is the smallest value in o, c, -2/5? -2/5 Let j = 15.6 + -15.1. Which is the second biggest value? (a) 0 (b) j (c) 3/7 c Let f = -1090/9 - -121. Suppose 1 = n + 6. Which is the second biggest value? (a) 3/5 (b) n (c) f c Let d = -10 - -6. Let h = d - -7. Let x = -72 + 147/2. Which is the smallest value? (a) -0.3 (b) h (c) x a Let a = -8 + 7. Let g = 449/4 - 113. What is the smallest value in a, g, 0.1? a Let k be (-3)/((-1)/((-4)/6)). Let u be (-26)/(-14) + k/1. Suppose d - 20 + 15 = 0. Which is the second smallest value? (a) u (b) d (c) -1 a Let p be (2/(-3))/(1*-1). Let f be -4*(-1)/16 - 12/176. What is the second smallest value in f, 3, p? p Let z be ((-2)/3)/(4/30). Let o = -3.6 + 4. What is the biggest value in 5, o, z? 5 Let i = -47.2 - -47. What is the second smallest value in 2/15, -1/2, i, -4/7? -1/2 Let m = -29/15 + 7/3. What is the second smallest value in -4, -5, m? -4 Suppose 5*m - 3*l + 18 = 0, l - 9 - 11 = 4*m. Let p be (-2 - 15/m) + -2. Which is the second smallest value? (a) -2 (b) 0.4 (c) p c Suppose -6 = 4*h - p - 21, 0 = -h - 2*p + 15. Let g(j) = j**2 - 12. Let x be g(-3). Let z = 6 - 7. Which is the second smallest value? (a) x (b) h (c) z c Let u = -0.68 - 0.32. What is the second smallest value in u, -0.5, 0.2, 1.1? -0.5 Let u = 35.8 + -36. Which is the smallest value? (a) -1 (b) 4 (c) u a Suppose 5*f - 2*p = 12, 2*p + 4 = -2*f + 6. Suppose -f*d + 3*g = 4 + 3, 4 = -d + 2*g. What is the second smallest value in -0.3, d, -4? d Let n = -0.04 + 11.04. Let w = n + -6. Which is the third biggest value? (a) 3 (b) w (c) 3/2 c Let n = 4 - 1. Let q be (n - 9)/(6/4). Let f = 0.01 - 0.21. Which is the second smallest value? (a) q (b) -0.5 (c) f b Let q be (-2 - (-26)/8) + (-6)/(-24). What is the biggest value in -0.6, q, -4, 1? q Let f = 9.7 + -0.7. Let k = 8.7 - f. Which is the third biggest value? (a) k (b) -4 (c) 0.3 b Let o = -1.2 + 5.2. Which is the second smallest value? (a) -2/11 (b) o (c) -0.1 c Let k = -1.9 - 3.1. Let u = -27 - -244/9. Which is the biggest value? (a) 4 (b) k (c) u a Let y = 147/5 - 29. Let j = 5.1 + -5. What is the second biggest value in 4, y, j? y Suppose -1 = -3*i - 5*x + 3*x, 4*i - 9 = 5*x. Which is the smallest value? (a) i (b) 4 (c) 2/19 (d) -0.3 d Let m = -4 + 4.1. Which is the second smallest value? (a) 2 (b) 0 (c) m c Suppose 2*d - y + 3 = 0, 4*y = 5*d - d - 4. What is the smallest value in 7, d, 0? d Let f = 0.97 + -6.07. Let z = 0.1 + f. What is the third smallest value in -1, z, 2? 2 Let n be 2*(7/5 - 1). Which is the third smallest value? (a) -2/7 (b) n (c) 0.4 b Let z = -0.48 - -7.48. Which is the third smallest value? (a) 0.06 (b) -2/7 (c) z c Let p = 2.8 + -2.9. Which is the third biggest value? (a) p (b) -4 (c) 4 b Let n = -28 + 31. Which is the third biggest value? (a) -0.2 (b) 0.5 (c) n a Let n = -52.5 - -53. Let r be 2/9 + (-3)/(-108). Let g = -35/44 - -6/11. What is the third biggest value in n, g, r? g Let m = -0.2 - -23.2. Let o = m + -23.9. Let t = 0.8 + o. Which is the second biggest value? (a) 0 (b) -7 (c) t c Let f be 2/(-6)*(-48)/88. Let x be 10/(-35) + 13/(-28). Which is the second smallest value? (a) f (b) -0.1 (c) x b Let g be (-12)/9 - 4/6. Let j = 3/54607 - -100640674/491463. Let r = j - 205. What is the third biggest value in g, 0.2, r? g Let c = -0.11 - -0.01. Let t = -6 - -6. What is the third smallest value in c, -4, t? t Let t = 16 + -22. Let f = -6.5 - t. What is the smallest value in f, -2/11, -1? -1 Suppose -3*a + 3*z + 6 = 0, -4*a - 4*z - 22 = -2*z. What is the smallest value in a, 0.3, -5, 3? -5 Let u = -29/5 + 271/45. Let d = 0 - -0.3. What is the third smallest value in d, u, -4? d Let c = -0.07 + -4.93. Let f = 0.1 + -2.9. Let w = f + 3. What is the second smallest value in w, c, 2? w Let n be 0 + 1/7*1. What is the biggest value in -3, 0.3, n? 0.3 Let w = -5.21 - -0.31. Let k = w - -0.9. What is the biggest value in k, -2/9, 0? 0 Let j = 18 - 18.35. Let u = j - 0.05. Let z = 16 + -11. What is the third smallest value in z, u, 2/5? z Let u = -0.032 + -4.168. Let x = -6 - u. Let t = 2 + x. Which is the third smallest value? (a) -0.5 (b) t (c) -2/13 b Let l(v) = v**3 + 3*v**2 - 6*v - 5. Let q be l(-4). Suppose q*y = y - 10. What is the second smallest value in 3, y, 5? 3 Let n = -1/67 + 141/469. Which is the second biggest value? (a) n (b) 7/2 (c) -0.3 a Let v = -0.55 - -0.6. Let k = v + 0.35. What is the biggest value in -1, 4, k? 4 Let q = -0.12 - -0.02. Let i = -20.6 - -21. Which is the third biggest value? (a) i (b) q (c) 1/2 b Let u = -4 + 6. Which is the third biggest value? (a) u (b) -9 (c) 4 b Let i = 36 + -39. What is the second smallest value in -0.2, i, -5? i Let n = 1/5 - 2/5. Let r = -3.03 - 0.27. Let g = r - 0.7. Which is the third biggest value? (a) -3 (b) g (c) n b Let u = -0.9 - 4.1. Suppose 4*k - 4 = 0, 3*i - 3*k - 15 - 42 = 0. Let f = -37/2 + i. Which is the second biggest value? (a) 2 (b) u (c) f c Let h(y) = 3*y**2 + 2*y + 9 - 2*y**2 - 2*y**2. Let s be h(6). Which is the smallest value? (a) 0.5 (b) s (c) 3 b Let s be (-21)/108 + 2/(-8). What is the second smallest value in -5, 3, s? s Let n be (3/(-18))/(1/15). Which is the second smallest value? (a) n (b) -1/2 (c) 0.02 (d) -0.1 b Let q = -0.5 + 3.5. What is the third smallest value in q, 8, -3? 8 Let q(o) = -o - 2. Let d be q(-5). Let v = -0.8 - 0.2. Which is the second smallest value? (a) d (b) v (c) 0.4 c Let p be (-177)/126 - 24/252. What is the third biggest value in p, 1, 0? p Let l = -0.4 - -0.39. What is the third biggest value in -2, 0.3, l? -2 Let x be 25/63 + 2/(-18). Which is the biggest value? (a) 5 (b) x (c) -1/12 (d) 1/3 a Let j = -1.3 - -1.7. What is the smallest value in -1, -6, j? -6 Suppose 0 = -0*r - r - 1. Let i be 2/(-2) - r/2. Which is the third biggest value? (a) i (b) 2/5 (c) -4 c Let u(m) = m + 15. Let o be u(-7). Suppose -5*f = -o*f - 15. Which is the second biggest value? (a) -4 (b) 0.1 (c) f a Let t = 0.9 + -0.5. Let u be (-2)/6 + (-13)/(-12). Let s(q) = -q - 8. Let w be s(-3). Which is the second smallest value? (a) u (b) w (c) t c Let p be (-1)/1 - -1 - 3. Let z = 2.155 - 0.155. Let k = -53/4 - -27/2. What is the third biggest value in z, p, k? p Let p = 191/3 + -63. Which is the third biggest value? (a) -5 (b) 5 (c) p (d) 3 c Let n = -122 - -1096/9. Which is the third biggest value? (a) 3 (b) -2/5 (c) n b Suppose -5*i + 6 = 26. Which is the third biggest value? (a) 2/17 (b) i (c) 1/3 b Let n = 1.4 - 5.4. Let g be ((-8)/6)/((-1)/(-36)). Let i = 385/8 + g. Which is the biggest value? (a) n (b) -3/2 (c) i c Let x = -1 + 0.5. Let f = 99 + -94. Which is the third biggest value? (a) 2/7 (b) x (c) f b Let g = -22.4 - -22. What is the fourth biggest value in g, -0.2, 1/2, -1/6? g Let z(s) = s. Let p be z(6). Let g be (-2 + p)*3/(-4). Which is the second biggest value? (a) 0.1 (b) 0 (c) g b Let o = 12 - 17. Let n = 4 + -1. Which
{ "pile_set_name": "DM Mathematics" }
culate g. -158, -58 Determine u so that -u**2 + 2381038*u - 1417335489361 = 0. 1190519 Determine b, given that -121102*b**3 - 242220*b**2 - 121134*b - 16 = 0. -1, -8/60551 Let 2*g**3/3 - 2122*g**2/3 - 2838*g - 2130 = 0. What is g? -3, -1, 1065 Factor -3*d**3 + 744*d**2 + 44853*d - 45594. -3*(d - 298)*(d - 1)*(d + 51) Find q, given that 3*q**3/4 - 3*q**2/4 - 117*q + 567 = 0. -14, 6, 9 Factor 5*u**2 + 5873880*u + 1725123312720. 5*(u + 587388)**2 Factor 2*n**3/9 - 44*n**2/3 - 722*n/9 + 284/3. 2*(n - 71)*(n - 1)*(n + 6)/9 Solve 2*d**3/7 - 26140*d**2/7 + 85647224*d/7 - 1533192336/7 = 0 for d. 18, 6526 Factor s**3/2 + 23*s**2 + 200*s - 1200. (s - 4)*(s + 20)*(s + 30)/2 Let 5*x**5/4 - 27895*x**4/2 - 223225*x**3/4 - 83725*x**2/2 + 55805*x + 55810 = 0. What is x? -2, -1, 1, 11162 Factor 141610*j**3/3 + 28084*j**2/3 - 3328*j + 192. 2*(5*j + 2)*(119*j - 12)**2/3 Suppose -2*t**4 + 336*t**3 - 624*t**2 - 6592*t - 7968 = 0. What is t? -2, 6, 166 Let v**5/4 + 205*v**4/4 - 415*v**3/4 - 205*v**2/4 + 207*v/2 = 0. What is v? -207, -1, 0, 1, 2 Find w such that 3*w**3/5 - 381*w**2/5 - 5478*w + 27768/5 = 0. -52, 1, 178 Determine j, given that -4*j**2 + 115628*j + 231272 = 0. -2, 28909 Find d, given that -d**2/3 - 7168*d/3 + 7171 = 0. -7171, 3 Factor 5*f**2 - 1735*f - 106000. 5*(f - 400)*(f + 53) Factor -z**3/7 + 15826*z**2/7. -z**2*(z - 15826)/7 Find y such that y**2/4 + 77335*y/2 + 5980702225/4 = 0. -77335 Find x, given that -x**2/8 + 6427*x/4 - 12853/8 = 0. 1, 12853 Find f, given that -12*f**4 - 29238*f**3/5 + 20496*f**2/5 = 0. -488, 0, 7/10 Factor 3*k**2 - 7443*k - 14898. 3*(k - 2483)*(k + 2) Let -3*z**2 + 3909690*z - 1273806324675 = 0. Calculate z. 651615 Solve 2*s**2/15 - 32*s + 4896/5 = 0 for s. 36, 204 Find z such that 3*z**2 + 270*z - 6600 = 0. -110, 20 Find t such that t**2 + 13783*t + 13782 = 0. -13782, -1 Factor -t**3 - 29*t**2 - 266*t - 784. -(t + 7)*(t + 8)*(t + 14) What is j in -4*j**4 - 3828*j**3 - 921548*j**2 - 2715084*j + 3640464 = 0? -477, -4, 1 Determine s so that 3*s**2 + 1092210*s + 99410223675 = 0. -182035 Factor y**3 + 46*y**2 - 197*y + 150. (y - 3)*(y - 1)*(y + 50) Let -6*h**4 + 51*h**3 + 6*h**2 - 51*h = 0. Calculate h. -1, 0, 1, 17/2 Factor -d**2 - 27*d + 90. -(d - 3)*(d + 30) Factor -v**3/5 + 933*v**2/5 + 81549*v/5 + 341243. -(v - 1015)*(v + 41)**2/5 Factor -u**2/4 + 505*u/4 - 15871. -(u - 269)*(u - 236)/4 Factor l**4/4 + 83*l**3/4 - 267*l**2/2. l**2*(l - 6)*(l + 89)/4 Let -8*x**3/11 + 2538*x**2/11 + 379430*x/11 - 95016/11 = 0. Calculate x. -111, 1/4, 428 What is g in g**3/2 - 87689*g**2/2 + 1922471707*g/2 - 5766625947/2 = 0? 3, 43843 Factor c**4 + 30*c**3 - 64*c**2 - 3360*c. c*(c - 10)*(c + 12)*(c + 28) Determine b, given that 12*b**5/7 + 229148*b**4/7 + 229100*b**3/7 - 687468*b**2/7 - 163672*b - 458272/7 = 0. -57284/3, -1, 2 Factor i**4 + 928*i**3 + 216222*i**2 + 429664*i + 214369. (i + 1)**2*(i + 463)**2 Factor -3*t**2/4 + 45519*t - 690659787. -3*(t - 30346)**2/4 Find j such that -3*j**3 - 168*j**2 + 14751*j + 196020 = 0. -99, -12, 55 Suppose -2*j**2 - 24142*j + 483640 = 0. What is j? -12091, 20 Factor -z**3 - 45*z**2 - 86*z. -z*(z + 2)*(z + 43) Suppose 3*k**5 + 324*k**4 + 12213*k**3 + 180384*k**2 + 639540*k - 3898800 = 0. Calculate k. -38, -20, -15, 3 Suppose 3*o**2 + 336*o + 7056 = 0. Calculate o. -84, -28 Factor -o**4/4 - 77*o**3/2 - 1029*o**2/4. -o**2*(o + 7)*(o + 147)/4 Solve -5*r**5 - 655*r**4 - 8430*r**3 - 28010*r**2 + 8435*r + 28665 = 0. -117, -7, -1, 1 Suppose -4*j**4 - 2052*j**3 + 995808*j**2 - 90478144*j = 0. What is j? -841, 0, 164 Determine q so that -3*q**3 - 3501*q**2 - 13968*q - 13956 = 0. -1163, -2 Suppose -7*c**3/2 + 139229*c**2 + 358027*c/2 + 39781 = 0. What is c? -1, -2/7, 39781 Determine m so that 2*m**4 - 151*m**3 + 2599*m**2 - 2450*m = 0. 0, 1, 49/2, 50 Find w such that w**3/3 - 410*w**2/3 + 4025*w/3 - 10000/3 = 0. 5, 400 Factor 2*v**2/15 - 206*v/15 + 176. 2*(v - 88)*(v - 15)/15 Find u such that -25*u**5 + 2490*u**4 - 12725*u**3 - 40540*u**2 - 32820*u - 7520 = 0. -1, -2/5, 8, 94 Factor 54*r**2/5 - 3153*r - 876/5. 3*(r - 292)*(18*r + 1)/5 Factor -2*r**3 - 9314*r**2 + 102696*r. -2*r*(r - 11)*(r + 4668) Find u such that -2*u**4 + 1304*u**3 - 207240*u**2 - 1742400*u = 0. -8, 0, 330 Solve o**2/8 - 352935*o/4 - 176468 = 0 for o. -2, 705872 Solve 3*y**5/7 + 138*y**4/7 - 1107*y**3/7 + 402*y**2/7 + 4380*y/7 - 3816/7 = 0 for y. -53, -2, 1, 2, 6 Let 2*n**2/3 - 664*n/3 + 11894/3 = 0. What is n? 19, 313 Factor o**3/3 + 203*o**2 + 1209*o + 1809. (o + 3)**2*(o + 603)/3 Solve q**4/5 - 1061*q**3/5 + 268854*q**2/5 + 6732724*q/5 + 6462808/5 = 0. -22, -1, 542 Determine u, given that -7*u**5 + 242*u**4 + 1285*u**3 - 2912*u**2 - 2076*u + 1872 = 0. -6, -1, 4/7, 2, 39 Find d such that 17*d**2/2 - 2334*d = 0. 0, 4668/17 Find n, given that -2*n**2/11 - 358*n/11 + 14484/11 = 0. -213, 34 Find p, given that -4*p**5 + 132*p**4 - 1348*p**3 + 4092*p**2 - 664*p - 6240 = 0. -1, 2, 4, 13, 15 Factor -30*x**2 + 18452*x - 36784. -2*(x - 2)*(15*x - 9196) Factor 9*h**4 + 2778*h**3 + 215292*h**2 + 142296*h. 3*h*(h + 154)**2*(3*h + 2) Solve d**2 + 90136*d + 2031124624 = 0 for d. -45068 Factor 3*r**2 + 170133*r - 170136. 3*(r - 1)*(r + 56712) Determine q so that -2*q**5/9 + 11924*q**4/9 + 11936*q**3/3 - 107380*q**2/9 + 59650*q/9 = 0. -5, 0, 1, 5965 Find o such that -3*o**2/4 - 92481*o/2 - 184959/4 = 0. -61653, -1 Let -r**5 + 674*r**4 + 4091*r**3 - 7420*r**2 - 40900*r + 68000 = 0. What is r? -5, 2, 680 Find h, given that 2*h**3/5 + 9674*h**2/5 - 19354*h/5 + 9678/5 = 0. -4839, 1 Solve 153*j**4 + 2709*j**3/4 - 1817*j**2/4 - 147*j/2 + 20 = 0. -5, -1/4, 8/51, 2/3 What is o in -4*o**2/7 - 64952*o/7 + 64956/7 = 0? -16239, 1 Factor g**2/4 + 6991*g/2 + 48874081/4. (g + 6991)**2/4 Factor d**3/6 + 149*d**2/2 - 2975*d/3 + 2300. (d - 10)*(d - 3)*(d + 460)/6 Solve 2*n**3/17 + 27534*n**2/17 - 165258*n/17 + 247914/17 = 0. -13773, 3 Find r, given that 6*r**4 + 16744*r**3/3 + 12382*r**2 + 8044*r + 3712/3 = 0. -928, -1, -2/9 Factor -4*t**3/3 - 99386*t**2/3 - 617274016*t/3 + 308711552. -2*(t + 12424)**2*(2*t - 3)/3 Factor -2*l**3/21 + 442*l**2/21. -2*l**2*(l - 221)/21 Solve 2*f**3/5 + 1282*f**2/5 - 1034*f - 1290 = 0. -645, -1, 5 Let 5*y**4 - 115*y**3 + 635*y**2 - 1245*y + 720 = 0. Calculate y. 1, 3, 16 Solve 3*i**5 - 270*i**4 - 2283*i**3 - 6678*i**2 - 8196*i - 3528 = 0. -3, -2, -1, 98 Find t such that 2*t**3 - 512*t**2 + 1010*t + 1524 = 0. -1, 3, 254 Factor 2*s**4/13 + 17656*s**3/13 + 51949836*s**2/13 + 50928144120*s/13 - 50980111614/13. 2*(s - 1)*(s + 2943)**3/13 Factor 2*p**3 + 814*p**2 - 4938*p + 7434. 2*(p - 3)**2*(p + 413) Let -3*m**2/4 - 1224*m + 4908 = 0. What is m? -1636, 4 Factor 13005*b**3 + 82110*b**2 + 172700*b + 121000. 5*(b + 2)*(51*b + 110)**2 Factor -p**3/5 - 78*p**2/5 - 329*p/5 + 2628/5. -(p - 4)*(p + 9)*(p + 73)/5 Factor -h**4 + 2*h**3 + 41*h**2 - 42*h. -h*(h - 7)*(h - 1)*(h + 6) Let -16540*p**3/7 - 9984*p**2/7 + 940*p + 24/7 = 0. What is p? -1, -3/827, 2/5 Solve 25*w**3 + 119940*w**2 + 71945*w - 47970 = 0 for w. -4797, -1, 2/5 Factor 3*i**2/5 - 5799*i - 116028/5. 3*(i - 9669)*(i + 4)/5 Suppose 2*t**3 + 10*t**2 - 204*t - 432 = 0. Calculate t. -12, -2, 9 Let a**2/3 - 608*a/3 + 2416/3 = 0. Calculate a. 4, 604 Factor 7*r**2/3 + 9487*r/3 + 2710/3. (r + 1355)*(7*r + 2)/3 Suppose 254*l**2/3 - 2035*l/3 + 8 = 0. What is l? 3/254, 8 What is u in -6*u**2/11 - 1417266*u/11 + 1417272/11 = 0? -236212, 1 Factor -3*y**2 + 599517*y - 1798524. -3*(y - 199836)*(y - 3) Factor -y**3/9 - 2470*y**2/9 + 12371*y/9 - 1100. -(y - 4)*(y - 1)*(y + 2475)/9 Factor -14*a**3 + 1202*a**2 - 13940*a - 2016. -2*(a - 72)*(a - 14)*(7*a + 1) Let b**2/11 - 15*b/11 - 450/11 = 0. Calculate b. -15, 30 Let -5*y**4 - 250*y**3 + 5740*y**2 + 2250*y - 51255 = 0. Calculate y. -67, -3, 3, 17 Solve 691970202*r**2 + 97416*r + 24/7 = 0. -2/28413 Factor 7*o**5 - 19092*o**4 - 76380*o**3/7 - 10912*o**2/7. o**2*(o - 2728)*(7*o + 2)**2/7 Suppose -c**4/4 + 59*c**3/4 - 597*c**2/4 - 59*c/4 + 299/2 = 0. Calculate c. -1, 1, 13, 46 Solve q**2/7 + 16400*q - 229604/7 = 0 for q. -114802, 2 Determine r so that 5*r**5 - 517*r**4 + 10066*r**3 - 12284*r**2 - 15384*r + 7488 = 0. -1, 2/5, 2, 24, 78 Factor -5*f**2 - 990400*f - 49044608000. -5*(f + 99040)**2 Solve -2*c**5 + 2*c**4 + 38*c**3 - 50*c**2 - 132*c + 144 = 0 for c. -4
{ "pile_set_name": "DM Mathematics" }
b) = b**2 - 1869*b - 4173468. Calculate c(-1312). 4 Let f(l) = 993*l + 83. Determine f(0). 83 Let n(t) = -t**3 + 11*t**2 + 102*t - 667. Determine n(10). 453 Let d(g) = 277*g**2 - 9148*g + 75. Determine d(33). -156 Let y(b) = 31*b**2 + 3311*b - 736. Determine y(-107). -94 Let f(x) = -33*x**2 + 4390*x - 8364. Calculate f(131). 413 Let g(o) = -o**3 + 117*o**2 - 94*o + 10986. What is g(117)? -12 Let s(h) = h**3 + 12*h**2 + 1334*h + 11836. Calculate s(-9). 73 Let h(i) = -25*i**2 + 3233*i - 30680. Give h(119). 22 Let c(b) = -3*b**3 + 26*b**2 + 32*b - 129. Give c(9). 78 Let f(g) = 558*g - 7888. Calculate f(13). -634 Let y(j) = -565*j - 36478. Calculate y(-64). -318 Let m(a) = -48518*a - 20426079. Determine m(-421). -1 Let a(u) = -745*u - 263757. Calculate a(-354). -27 Let y(j) = -646300*j + 1938915. Give y(3). 15 Let p(y) = y**2 + 157*y + 5789. Determine p(-58). 47 Let y(c) = -c**3 + 21*c**2 - 322*c + 3871. Determine y(16). -1 Let r(x) = 7*x**2 + 430*x - 6167. Give r(-77). 2226 Let j(b) = 1727*b + 369561. Calculate j(-214). -17 Let f(j) = j**3 - 9*j**2 - 146*j + 1374. Determine f(11). 10 Let p(x) = 12*x**3 + 20*x**2 - 31*x + 5. Give p(2). 119 Let p(b) = -167*b + 4189. Give p(23). 348 Let p(r) = -2*r**3 + 64*r**2 - 505*r + 39. Give p(13). -104 Let x(k) = 10*k**2 - 1422*k + 36047. Determine x(33). 11 Let g(x) = 2791*x + 58639. What is g(-21)? 28 Let v(c) = c**3 + 87*c**2 - 21979*c + 202. Determine v(-198). 400 Let k(a) = -4*a**3 - 208*a**2 - 213*a - 498. What is k(-51)? -39 Let v(m) = -3*m**3 - 198*m**2 - 569*m - 176. Give v(-63). -50 Let c(u) = 125*u**2 - 205*u - 62. Calculate c(2). 28 Let g(i) = -5*i**2 + 754*i - 25921. What is g(53)? -4 Let p(d) = 3247*d + 19590. Give p(-6). 108 Let s(b) = -b**3 + 383*b**2 + 348*b - 422933. Give s(381). -23 Let m(k) = -k**3 + 153*k**2 + 81*k + 11323. Give m(154). 81 Let j(d) = -713*d - 2185. Give j(-3). -46 Let q(p) = 2*p + 106. Give q(44). 194 Let z(s) = s**3 - 60*s**2 + 826*s + 100. Calculate z(37). -825 Let w(t) = -27669*t - 193466. Determine w(-7). 217 Let y(u) = -226*u - 4903. Calculate y(-16). -1287 Let v(x) = -x**3 + 23*x**2 + 251*x - 5294. Give v(14). -16 Let s(t) = 3*t**2 + 8818*t - 584. What is s(0)? -584 Let l(b) = -2401115*b - 26412266. Give l(-11). -1 Let h(y) = y**3 - 210*y**2 - 535*y + 23580. Calculate h(212). 48 Let r(o) = -o**2 - 23642*o - 1814507. What is r(-77)? -2 Let q(i) = 92*i - 3222. Determine q(29). -554 Let j(l) = 2*l**3 + 29*l**2 - 271*l + 48. Calculate j(-21). 6 Let q(s) = 810*s + 3078. What is q(-2)? 1458 Let i(d) = -d**3 - 44*d**2 + 2*d + 38. Calculate i(-44). -50 Let b(f) = 275*f - 48444. Determine b(176). -44 Let b(d) = 6100*d + 908890. Calculate b(-149). -10 Let k(l) = -3*l**2 + 235*l + 14788. Give k(119). 270 Let u(w) = -w**3 + 7*w**2 + 411*w + 4125. Determine u(-12). 1929 Let s(w) = -7*w - 340. Determine s(-119). 493 Let q(h) = -h**3 - 40*h**2 + 23*h + 1120. Determine q(-40). 200 Let l(w) = -140*w**2 - 6928*w + 34650. Give l(5). -3490 Let n(u) = 14*u**2 - 418*u - 5689. Give n(40). -9 Let x(w) = -4*w**3 + 33*w**2 - 24*w + 14. Determine x(6). 194 Let h(y) = y**3 - 6*y**2 - 379*y + 3214. Give h(9). 46 Let d(n) = -375*n**2 - 172*n - 358. Calculate d(-2). -1514 Let i(q) = -6053*q - 18181. What is i(-3)? -22 Let q(k) = -k**3 + 118*k**2 - 97*k + 25704. Calculate q(119). 0 Let c(a) = -1785*a + 33899. Calculate c(19). -16 Let c(f) = -f**3 - 1022*f**2 - 3693*f - 4824475. What is c(-1023)? -7 Let l(x) = -4*x**2 - 112*x - 169. Calculate l(-10). 551 Let u(o) = -o**2 - 3087*o - 27697. Determine u(-9). 5 Let a(l) = -1308*l + 26661. What is a(20)? 501 Let g(x) = 3*x**3 + 265*x**2 + 97*x + 730. Calculate g(-88). -62 Let h(o) = 38*o**2 + 11366*o - 46062. Calculate h(4). 10 Let w(k) = 69*k + 452. Calculate w(22). 1970 Let s(p) = p**3 - 598*p**2 + 3434*p + 712. Calculate s(6). 4 Let c(o) = -2*o**3 + 4*o**2 + 89*o + 77. What is c(-9)? 1058 Let a(m) = m**3 - 80*m**2 - 134*m - 1932. What is a(82)? 528 Let s(r) = 4422*r + 190596. Give s(-43). 450 Let q(k) = -k**3 + 36*k**2 + 36*k + 119. Calculate q(38). -1401 Let r(u) = -5*u**3 - 545*u**2 - 60*u - 6554. Determine r(-109). -14 Let p(w) = -9*w**2 + 516*w + 736. Determine p(59). -149 Let k(i) = -5239*i + 6737. What is k(1)? 1498 Let q(j) = 3*j**2 + 165*j + 2279. Calculate q(-27). 11 Let t(q) = 14*q**2 - 12674*q + 16221. Give t(904). -51 Let y(x) = -21*x**3 + x**2 + 1454*x + 4326. Calculate y(-3). 540 Let i(j) = -4*j**2 + 558*j + 560. Calculate i(-1). -2 Let o(k) = 38*k**2 - 103*k + 42. What is o(-2)? 400 Let l(k) = 911*k**2 - 8*k - 12. Determine l(1). 891 Let k(f) = 1781*f + 9250. Give k(-5). 345 Let u(w) = -45*w**3 + 357*w**2 + 59*w + 43. Give u(8). 323 Let h(m) = -7*m**2 + 3*m - 212. Give h(-11). -1092 Let p(z) = -z**3 - 20*z**2 - 1260*z - 25349. What is p(-20)? -149 Let d(n) = n**2 + 581*n + 85705. Calculate d(-259). 2307 Let z(x) = -3198*x**2 - 182*x - 3. Determine z(-1). -3019 Let o(w) = -11*w**2 + 74436*w - 223315. Give o(3). -106 Let z(b) = b**3 - 464*b**2 + 6736*b - 445. What is z(449)? 4 Let j(v) = -2*v**2 + 62*v - 35. Calculate j(41). -855 Let c(b) = 2*b**2 + 321*b - 46120. Give c(-252). -4 Let y(c) = -56*c**2 + 10367*c + 10389. Calculate y(-1). -34 Let r(h) = 14*h**3 + 78*h**2 + 142*h + 282. What is r(-5)? -228 Let d(p) = p**3 - 4*p**2 + 277*p - 1436. Determine d(5). -26 Let p(n) = -24*n**3 + 1298*n**2 - 102*n + 61. Give p(54). 385 Let v(j) = 30885*j + 308721. Calculate v(-10). -129 Let j(u) = -u**3 + 15*u**2 + 35*u - 464. Determine j(17). -447 Let n(x) = 3*x**2 + 1169*x + 71551. Give n(-76). 35 Let z(c) = -26*c + 2449. Give z(43). 1331 Let v(a) = a**3 - 31*a**2 - 229*a - 203. Determine v(37). -462 Let p(k) = 37*k**2 + 526*k - 434. Determine p(-15). 1 Let z(u) = u**2 - 558*u + 12328. What is z(535)? 23 Let g(z) = 8*z**2 + 102367*z + 409450. Calculate g(-4). 110 Let v(h) = h**3 + 236*h**2 - 3556*h + 62. What is v(14)? -722 Let s(f) = -f**3 - 60*f**2 - 619*f + 139. Determine s(-14). -211 Let h(b) = 34705*b + 69428. Give h(-2). 18 Let a(z) = -z**3 + 4*z**2 - 159*z - 543. Calculate a(-3). -3 Let k(l) = -574*l - 34430. Give k(-60). 10 Let x(l) = 9045*l - 506607. Calculate x(56). -87 Let w(y) = -3279*y - 75314. Calculate w(-23). 103 Let z(h) = 58665*h - 2111946. Determine z(36). -6 Let f(h) = -125975*h - 1511696. Determine f(-12). 4 Let i(j) = 8208*j + 230230. Calculate i(-28). 406 Let r(o) = -12*o**2 + 230*o - 1124. Determine r(12). -92 Let a(y) = -y**3 - 25*y**2 + 396*y + 55. Calculate a(-36). 55 Let l(s) = -543*s**2 + 1129*s - 1134. Calculate l(1). -548 Let l(a) = a**2 + 612*a + 2438. Determine l(-4). 6 Let x(j) = 92759*j - 15. Calculate x(0). -15 Let n(f) = 2*f**3 + 82*f**2 + 335*f - 415. Give n(-36). 485 Let s(r) = -1981*r - 219878. Give s(-111). 13 Let b(a) = -a**3 - 4*a**2 + 687*a + 7328. What is b(-11)? 618 Let z(x) = -2*x**3 - 86*x**2 + 526*x + 2230. Determine z(-48). 22 Let k(m) = -56531*m - 1017558. What is k(-18)? 0 Let w(q) = 14*q**2 - 337*q - 31570. Determine w(61). -33 Let k(t) = -t**3 + 532*t**2 - 2652*t + 8948. Determine k(527). -11 Let y(r) = 9*r**2 + 291*r - 234. Calculate y(-43). 3894 Let k(n) = -15*n**3 - 1150*n**2 + 28999*n + 25. What is k(20)? 5 Let f(q) = 3*q**2 + 2760*q - 732028. Determine f(215). 47 Let l(g) = 7680*g + 545270. Calculate l(-71). -10 Let l(q) = 32371*q + 1683293. Calculate l(-52). 1 Let w(x) = 28*x**3 - 12501*x**2 - 6705*x - 2. Calculate w(447). -2 Let o(u) = -2*u**2 + 7741*u + 241837. Calculate o(-31). -56 Let p(q) = -3364*q**2 - 3359*q - 9. Give p(-1). -14 Let b(g) = -204*g + 13910. What is b(68)? 38 Let j(r) = -609*r + 24172. What is j(41)? -797 Let g(k) = -k**2 + 6750*k - 209008. Give g(31). -719 Let w(t) = -92*t**3 - 60*t**2 - 73*t - 10. Give w(-1). 95 Let z(t) = -48856*t - 1367989. What is z(-28)? -21 Let c(f) = -26*f**3 + 17*f**2 - 2*f - 10. What is c(3)? -565 Let y(w) = w**2 - 11071*w - 1569551. Determine y(-140). -11 Let k(g) = g**3 - 995*g**2 + 169*g - 168144. What is k(995)? 11 Let l(z) = 8502*z + 77027. Give l(-9). 509 Let q(d) = d**2 + 875*d + 116173. Determine q(-163). 117 Let g(u) = 2*u**3 + 573*u**2 + 1474*u + 15322. Calculate g(-284). -14 Let c(o) = o**2 - 42661*o + 19662868. Give c(466). -2 Let a(n) = 15*n**3 - 616*n**2 + 48*n - 282. Give a(41). 5 Let c(u) = -324*u**2 + 10211*u + 5015. What
{ "pile_set_name": "DM Mathematics" }
84 is divided by m(-23). 14 Let i = -23134 - -28275. Calculate the remainder when i is divided by 117. 110 Suppose 3*q = 2*g + 789, -2*q + 1052 = 2*q + 5*g. Suppose -2*x = m + 53 - 202, 5*m = 4*x - q. What is the remainder when 141 is divided by x? 69 Let o = -7 - -19. Calculate the remainder when (-17)/(-119)*1183 - (-1 - -5)/1 is divided by o. 9 Suppose -26*d + 22*d + 51*d = 188. What is the remainder when 3029 is divided by d? 1 Let o(l) = -46 + l**2 - 10*l - 5*l + 0*l + 2*l. Calculate the remainder when 23 is divided by o(-4). 1 What is the remainder when (-390)/9*441/(-105) is divided by 11? 6 Suppose 3*s - 4*j - 440 = 0, -2*j - 1 = -9. Let p = s + -123. Calculate the remainder when 50 is divided by p. 21 Let t be (67 - -1)*(-13)/312*-12. Suppose -t*g = -23*g - 198. Calculate the remainder when 320 is divided by g. 14 Suppose -c + 240 = 2*c. Suppose u = -9*u + c. What is the remainder when (0 + -1)/(2/(-76)) is divided by u? 6 Let h = -1025 - -1024. Let v(a) = -58*a**3 - a**2 + 7*a + 7. Suppose -i + 4*i - 5*q - 25 = 0, i + q = 19. What is the remainder when v(h) is divided by i? 12 Suppose -58 = -2*r + 6*o - 2*o, -r = -5*o - 41. Calculate the remainder when r is divided by 1962/81 - 7 - 4/18. 4 What is the remainder when 51 is divided by 6 + (-352)/(-77) + 9/21? 7 Let c(r) = -43*r - 1019. Calculate the remainder when 659 is divided by c(-24). 9 Suppose -3*p - 3 = 0, 0*r = 2*r + 5*p + 11. Let y = 23 + r. Let s = -1102 - -1138. Calculate the remainder when s is divided by y. 16 Let z(s) = 24*s - 45. Let d be z(2). Calculate the remainder when 129 is divided by ((-2277)/(-138))/(d/8). 41 Let b = 634 + 481. What is the remainder when b is divided by 185? 5 Let z = 651 - 661. Calculate the remainder when (2184/30)/(z/(-25)) is divided by 46. 44 Let s(i) = i**3 + 18*i**2 + 24*i - 153. What is the remainder when s(-14) is divided by 84? 43 Suppose 4*u - 1096 - 584 = 0. Calculate the remainder when u is divided by 90. 60 Let v(k) = -k**2 - 20*k - 28. Let z be (-8)/(-44) + (-2)/((-44)/(-334)). Suppose 24*a - 36 = 3324. What is the remainder when a is divided by v(z)? 46 Suppose 10512 = 387*c - 315*c. Calculate the remainder when 921 is divided by c. 45 Suppose 16*p - 11*p = -10. Let n be ((-99)/(-6))/(p/4)*-7. Suppose -3*r = -8*r + 4*h + n, 4*h - 113 = -3*r. Calculate the remainder when r is divided by 12. 7 Suppose -3*z = -5*d + 2696, -3*d - 2*z + 1633 = -6*z. What is the remainder when d is divided by 68? 59 Suppose -7*t + 21854 = -4*p, 0 = 153*t - 154*t + 5*p + 3122. What is the remainder when t is divided by 59? 54 Suppose 463*l + 11346 = 646*l. Let y = -177 - -486. What is the remainder when y is divided by l? 61 Calculate the remainder when ((-812)/290)/((-1)/45) is divided by 16. 14 Suppose 3007 - 3041 = -2*p. Calculate the remainder when 4275 is divided by p. 8 Let s = -10896 - -11090. What is the remainder when 486 is divided by s? 98 Suppose 0*r + 5*r - 20 = 0. Suppose -r*h + 2*w + 382 = 0, -5*h + 2*w = -2*w - 482. Suppose -5*t = -4*t - 19. What is the remainder when h is divided by t? 18 Let b = 23073 + -23041. What is the remainder when 16638 is divided by b? 30 Suppose t = -5*u + 185, 3 = -u + t + 40. What is the remainder when 4*(2 + (-190)/(-8)) is divided by u? 29 Let b be ((-112)/24)/((-2)/21) - -4. Suppose -b*r + 59*r - 306 = 0. Let q(c) = 151*c**3 - c**2. What is the remainder when q(1) is divided by r? 48 Suppose 4*s = -i - 32, -4*i + 6943 = 4*s + 6939. Let c = 52 + -13. What is the remainder when c is divided by i? 3 Let x(t) = 4*t - 44. Let z be x(11). Suppose z*g - 11*g = -990. Calculate the remainder when g is divided by 13. 12 Suppose -2*t - t = -63. Suppose t + 25 = 2*d. Let s = 252225 - 252161. What is the remainder when s is divided by d? 18 Suppose 104 = 5*d - d. Let n be 28/(-98) + (-1 - 58/(-7)). Suppose -n*y + 505 = -2*y - 5*f, -5*f + 10 = 0. Calculate the remainder when y is divided by d. 25 Let v = 2330 - 2327. Suppose 3 + 3 = 3*w. Suppose -u + 3*a + 2 = -w, v*u - a - 36 = 0. Calculate the remainder when 38 is divided by u. 12 Let r(t) = t**2 - 20*t + 41. Suppose 722 = 8*z + 30*z. Calculate the remainder when 69 is divided by r(z). 3 What is the remainder when 3131 is divided by (-1611)/(-15) + 210/350? 107 Let a be 0 - (-11)/(-1)*-5. Suppose -17*v - a = -22*v. Calculate the remainder when 52 is divided by v. 8 Let a(f) = -5*f**3 - 2*f**2 - 9*f + 5. Let r be a(3). Let z = 293 + r. Let h = z - 57. What is the remainder when h is divided by 17? 10 Let c be 2/5 + (-20)/50. Let z be 436 + 2/(-2 - c). Suppose 4*k - z = -k. Calculate the remainder when k is divided by 9. 6 Suppose -15*l + 18*l = 6, -2*s + 2*l - 30 = 0. Let i(x) = 2*x**2 + 25*x + 22. Let b(a) = 5*a**2 - 4*a + 5. Calculate the remainder when b(4) is divided by i(s). 34 Suppose -14*s + 9*s = -6*m + 2027, -3*s = 2*m - 671. What is the remainder when m is divided by 42? 1 Suppose 84*p = 91*p + 1946. Let i = 347 + p. Let z(q) = 19*q - 1. What is the remainder when i is divided by z(1)? 15 Suppose 4*w + 18 = w. Calculate the remainder when 25 - -2 - (6 + w) is divided by 10. 7 Let o(h) = -h**2 - 69*h - 826. Calculate the remainder when 276 is divided by o(-19). 28 Let g(x) = 19*x + 116. What is the remainder when 168 is divided by g(-6)? 0 Let w = 348 - 239. Suppose -w*d + 42 = -107*d. What is the remainder when 145 is divided by d? 19 Suppose -2*m = -6*m. Let s = -37975 - -37984. What is the remainder when (64 + -3)*(1 - m) is divided by s? 7 Let k = 1 - -8. Let d(q) = -2*q + 39. Let l be d(-12). Suppose -5*a + 4*s = -76, -4*a + 0*a = -s - l. Calculate the remainder when a is divided by k. 7 Suppose -4*r = -22*i + 17*i + 429, -r + 424 = 5*i. What is the remainder when 2122 is divided by i? 82 Suppose -77*t = -5*z - 72*t + 5, 4*z - 5*t - 2 = 0. Suppose 4*y + 116 = z*n, -5*n - 8*y + 145 = -5*y. What is the remainder when 56 is divided by n? 24 Let v = -451 + 451. Let z(g) = 10*g + 8. What is the remainder when 118 is divided by z(v)? 6 Calculate the remainder when 553 is divided by (77/(-105) - 2/(-6))/((-51)/11985). 83 Suppose 6*q - 42 = 5*q. Let s be (4 - (14/2 - 6)) + 1. Suppose 2*j + 4*p - q = 6*p, 0 = -2*j - s*p + 36. Calculate the remainder when 77 is divided by j. 17 Suppose 0 = 4*t + 4*c - 36, -5*t = -3*c - 22 - 23. Suppose 43*d + 60*d - 124*d + 2037 = 0. Calculate the remainder when d is divided by t. 7 Suppose 149 - 134 = t. Suppose -t*w + 7*w = -128. What is the remainder when 31 is divided by w? 15 Suppose 2*c + y = 69, -c - y + 1 = -34. Suppose 2*u = 3*o - 200, 5*u + 0 + 5 = 0. What is the remainder when o is divided by c? 32 Calculate the remainder when 714 is divided by (26/(-9) - -3) + 10032/108. 63 Let n(w) = w**2 + 4*w - 31. Let h be n(-8). What is the remainder when 43/((-2)/(-4) - h/(-2)) is divided by 13? 4 Let v(l) = 72*l + 5. Calculate the remainder when v(5) is divided by 4/(-18) - (-10670)/495 - (-5)/3. 20 Suppose -15*z + 8*z + 51447 = 4*z. Calculate the remainder when z is divided by 65. 62 Let y(x) = 4*x**3 - 35*x**2 + 146*x - 3. What is the remainder when y(7) is divided by 30? 16 Let g = -1804 + 1831. Suppose 0 = 2*c - 3*c + 7. What is the remainder when g is divided by c? 6 Suppose -3*t + 586 - 660 = -2*l, -l - t + 22 = 0. What is the remainder when 539 is divided by l? 7 Let q(l) = 16 - 8*l**2 - 3 - 4*l + 0*l + 3*l + l**3. Let d be q(8). Suppose -r - 2 = -d*i + 92, 2*i = -r + 39. Calculate the remainder when 75 is divided by i. 18 Suppose 16 + 17 = u - 5*s, -u = s - 21. Suppose -9*q = -7*q - 6. Suppose 6*n - q*n = 273. Calculate the remainder when n is divided by u. 22 Suppose -u = 2*u + 9, 5*d - u - 288 = 0. Let p(s) = -41*s**2 - 2873*s - 192. Calculate the remainder when d is divided by p(-70). 3 Suppose -1638 = -43*r - 59*r + 24*r. Calculate the remainder when 1102 is divided by r. 10 What is the remainder when 1168 is divided by (676/117 + -6)*-5166? 20 Suppose 3*z - 146 = -2*c, -3*c = -z - 0 + 34. What is the remainder when 412 is divided by z? 44 Calculate the remainder when 517 is divided by 120/(-1500) - (-3808)/100. 23 What is the remainder when 12 is divided by 15*17/765*33? 1 Suppose 5*v + 285 = w, w - 34*v + 33*v = 301. What is the remainder when 913 is divided by (1 + -8)*w/(-35)? 59 Let o = -3198 + 3255. What is
{ "pile_set_name": "DM Mathematics" }
mainder when y is divided by -3 - a - 1 - -5. 2 Let b = -300 - -323. What is the remainder when b is divided by 7? 2 Suppose 5*k - 48 = -o + 109, 4*k = 0. Let t = -122 + 214. Let w = o - t. Calculate the remainder when w is divided by 17. 14 Calculate the remainder when 3010/42 + 2/6 is divided by 25. 22 Suppose -9*o + 3*o + 48 = 0. Let y = 20 + 3. Let u = y - 9. Calculate the remainder when u is divided by o. 6 Let n = 4 - -5. Suppose -46 = n*x - 10*x. What is the remainder when 135 is divided by x? 43 Suppose 118 - 129 - 210 = -13*l. What is the remainder when -1 + -1 + 1 + 83 is divided by l? 14 Calculate the remainder when 130 is divided by (-350)/(-30) - (1/(-3))/1. 10 Let b(q) = q + 4. Let v be (-8)/(-6)*-9*10/(-8). Calculate the remainder when 94 is divided by b(v). 18 Suppose 0 = 2*p - 10, h + 7 = -4*p + 33. What is the remainder when 215 is divided by h? 5 Let u = 89 + -69. Calculate the remainder when 4 - (9 + -1) - -62 is divided by u. 18 Let u(p) be the first derivative of p**3/3 + p**2/2 + 28*p + 7. Suppose -w + 4*x + 5 = 2, -2*x = 5*w - 81. Calculate the remainder when u(0) is divided by w. 13 Suppose -1236*k + 256 = -1220*k. Calculate the remainder when 366 is divided by k. 14 Suppose 0 = -v + 21. Suppose -v = -2*q - 5*q. Let t = q - -9. What is the remainder when 22 is divided by t? 10 Suppose -12*d + 358 = 10. Calculate the remainder when 3 - (-12)/(-2) - (4 - 117) is divided by d. 23 Let a = -8 - -12. Suppose -4*k = -a*r - 12, 3*k - 4*r = k + 8. Let z(m) = 3*m**3 + 2*m - 4. Calculate the remainder when z(k) is divided by 5. 4 Suppose 5*u + 20 = 0, 24*v - 5*u = 29*v - 1015. Calculate the remainder when v is divided by 16. 15 Suppose 10 = -5*s, 2*k - 4*k - s + 28 = 0. Let l be (-2)/5 - 669/15. Let p = l - -88. Calculate the remainder when p is divided by k. 13 Let f = -102 + 200. Suppose 4 = 7*c - 17. Suppose -o + 5*t + 43 = 0, c*o - 103 = -0*o + 2*t. Calculate the remainder when f is divided by o. 32 Let a = -2 + 26. Let u = -20 + a. Let i(c) = 13*c + 3. Calculate the remainder when i(u) is divided by 14. 13 Suppose -64 = -4*w - 4*u + 5*u, -2*u = 5*w - 93. What is the remainder when w is divided by 13? 4 Suppose a - 362 = -5*t, -5*a + 0*a = 15. Calculate the remainder when 350 is divided by t. 58 Let j(c) = c + 6. Let g be j(-11). Let u be 16/10*g/(-2). Suppose -40 = h - 6*h - 3*w, 0 = u*h - w - 15. Calculate the remainder when h is divided by 2. 1 Let v = 1598 + -1348. What is the remainder when v is divided by 20? 10 Let r(s) = 3*s**2 + s + 5. What is the remainder when r(5) is divided by (-4)/(-8)*(35 - -9)? 19 Let h = 1246 - 1242. Suppose -2*t + 5 = 5*k, 0 = 2*t + k - 0*k - 9. Calculate the remainder when t is divided by h. 1 Suppose 0 = -5*b + 3*h + 531, 321 = 2*b + b - 3*h. Let w = -16 + -4. Let z = w + b. What is the remainder when z is divided by 29? 27 Suppose 4*u + 2*f + 58 = 0, 3*f + 29 = 5*u + 107. Calculate the remainder when (1 + (-55)/u)*18 is divided by 15. 9 Let d(w) = 2*w**2 + 5*w + 6. Suppose v + 1 + 5 = 0. Let u be d(v). Let y = u - 18. Calculate the remainder when 57 is divided by y. 27 Suppose 36*y + 85 - 1633 = 0. Calculate the remainder when 80 is divided by y. 37 Let d(y) = y**2 + 7*y - 30. Let k be d(-10). Suppose k = 236*m - 235*m - 15. What is the remainder when 24 is divided by m? 9 Let x = 16 - 12. What is the remainder when 28 is divided by (-2 + x)/((-5)/(-20))? 4 Suppose 31 = 3*x + 5*s, -3*s = 5*x - 2*s - 81. Calculate the remainder when 422 is divided by x. 14 Suppose 3*z = 4*d + z - 58, 37 = 4*d + 5*z. Let r(s) = -174*s + 3. Let j be r(2). What is the remainder when d is divided by (-1)/(-3) + j/(-45)? 5 Let c = -27 + 28. Let a(l) = 16*l**2 + l + 1. Calculate the remainder when 50 is divided by a(c). 14 Let m(h) = 8 + 3*h + 17 + 5*h - 56. What is the remainder when m(13) is divided by 15? 13 Let v = -1364 - -1374. Let f = 3 - -1. Suppose 2*k - 70 = 2*g, -f*k + 2*k + 3*g = -68. Calculate the remainder when k is divided by v. 7 Let f(b) = -8*b + 2. Let o be f(-1). Suppose 2 + o = 4*a. Suppose -4*q + t = 4*t - 121, -t = -a. Calculate the remainder when q is divided by 15. 13 Suppose c - 1 = n - 0, 0 = 4*n + 2*c - 26. Suppose 0 = -9*s + 113 + n. Calculate the remainder when s is divided by 8. 5 Suppose 4*u = -0*u + 20. Suppose -2*t = u*t - 119. What is the remainder when t is divided by 2? 1 Suppose 295 = 12*c - 461. What is the remainder when 200 is divided by c? 11 Suppose 4*w + 4*k = 51 + 13, w - 11 = -2*k. Calculate the remainder when w is divided by (1 + 7)*(-11)/(-22). 1 Suppose -b = 4*i + 82, 3*b + 4*i + 117 = -97. Calculate the remainder when 22 is divided by 45/7 + b/154. 4 Let a(n) be the third derivative of n**5/60 + 5*n**4/24 - 2*n**3/3 - 3*n**2. Calculate the remainder when a(4) is divided by 3/(-3) - (-13 - -1). 10 Suppose 2*w - 26 = 5*o, 0*o + 2*o + 61 = 3*w. Suppose 0 = -5*k + 52 + w. What is the remainder when 55 is divided by k? 10 Let p(q) = q**2 + 6*q + 5. Let h be p(-5). Let c be h - (83/1)/(-1). Suppose 3*k + 51 = 3*s, 4*s = -2*k + k + c. Calculate the remainder when s is divided by 7. 6 Let r(f) = -5*f**2 + 168*f + 42. Calculate the remainder when r(33) is divided by 74. 67 Let y(x) = -2*x**2 - 27*x - 11. Let j be y(-7). Let n = j - 65. What is the remainder when n is divided by 11? 4 Suppose -5*i + 15 = -0*i. Suppose 18 = 2*d - k + 4*k, 4*d - 3*k = 18. Suppose d*n - 4 = 4*n. What is the remainder when i is divided by n? 1 Let r = 152 + -162. What is the remainder when 34 is divided by (-2)/(-7) + 65*r/(-175)? 2 Suppose 4*k = 3*k. Let c be k/(-3) + 4 + -2. Let o(y) = y**3 - y**2 - 2. What is the remainder when o(c) is divided by 1? 0 Suppose -4*q - 22 = -5*q. Suppose -o = o - l - q, 0 = -3*l + 6. What is the remainder when 47 is divided by o? 11 Suppose i + 2*y - 42 = 0, -98*y + 96*y = -i + 30. Calculate the remainder when 117 is divided by i. 9 Let s = -94 - -210. Calculate the remainder when s is divided by (2/1)/(4*(-11)/(-154)). 4 Suppose 0 = 5*d - 2*k - 109, -10 = -d - k + 9. What is the remainder when 146 is divided by d? 20 Let l(y) = -2*y**3 - 2*y - 1. What is the remainder when 14*(-4)/(-8) - -2 is divided by l(-1)? 0 Let g = 153 - 143. What is the remainder when 286 is divided by g? 6 Let z = 536 + -533. Let x be (0 + -2)*23/(-2). Suppose z*w + 5*j - 25 = 0, -j - 6 = 3*w - x. Calculate the remainder when 18 is divided by w. 3 Let k(n) = -16*n - 72. Calculate the remainder when k(-21) is divided by 23. 11 Let t(r) = 3*r - 1. Calculate the remainder when 134 is divided by t(12). 29 Let u = -14 + 16. Suppose 0 = -5*o + 195 + 130. Suppose 7*m - u*m - o = 0. What is the remainder when 23 is divided by m? 10 Suppose -17 = -5*r + s, -4*s + 13 = 4*r - 15. What is the remainder when (-31)/(-2) - (-11)/(-22) is divided by r? 3 Suppose 0 = -0*d + d. Suppose d = -16*r + 7*r + 54. Calculate the remainder when 8 is divided by r. 2 Let t be (-23)/(-2) + (-12)/(-8). Suppose -2*k - 4 = 0, v = 2*v - 5*k - t. Suppose 2*i = -v*i + 115. What is the remainder when 43 is divided by i? 20 Suppose -2*b + 2*i - 6*i + 34 = 0, 2*i = -5*b + 101. What is the remainder when 56 is divided by b? 14 Let r(v) = -2*v**3 - 10*v**2 - 8*v - 33. What is the remainder when 22 is divided by r(-5)? 1 Let u = 12 + -7. Suppose u*n + c - 177 = -71, 3*n - 5*c - 58 = 0. Calculate the remainder when 6105/99 - (-3)/9 is divided by n. 20 Let a(h) = -h**2 - 8*h - 6. Let b be -14*(-1)/4*-2. Let n be a(b). Let t(g) = 56*g - 1. Calculate the remainder when t(n) is divided by 19. 17 Let u = 4 - 80. Let i be 4 + -3 + -5 - u. Let j = i + -25. What is the remainder when j is divided by 16? 15 Suppose 5*z = 4*f - 31, 2*f - 3*z = -4 + 19. Calculate the remainder when (-1)/((-9)/(-12)) - (-624)/f is divided by 18. 14 Suppose 74*a - 1698 = 68*a. Calculate the remainder when a is divided by 51. 28 Let y = 80 - 66. What is the remainder when 318 is divided by y? 10 Let n(p) = 3*p - 69. Let a be n(22). Suppose 0 = 4*j - 0*j - 180. What is the remainder when j is divided by (1/(0 - a))/((-13)/(-624))? 13 Let i = 57 - 52. Suppose -s - i*s + 198 = 0. Calculate the remainder when s is divided by 25. 8 Let y = 216 + -207. Calculate the remainder when 20 is divided by y. 2 Calculate the remainder when 127 is divided by 12/8*(-120
{ "pile_set_name": "DM Mathematics" }
}? 3/220 What is prob of picking 1 k, 1 e, and 1 b when three letters picked without replacement from {k: 4, w: 5, l: 4, b: 1, e: 1}? 4/455 Two letters picked without replacement from {t: 1, m: 3, c: 3, r: 4, g: 2, q: 6}. Give prob of picking 2 g. 1/171 Three letters picked without replacement from {t: 3, l: 7, u: 2}. What is prob of picking 1 u and 2 t? 3/110 Four letters picked without replacement from lllllllgllgg. Give prob of picking 4 l. 14/55 Four letters picked without replacement from {s: 1, x: 3, h: 4, q: 2}. Give prob of picking 1 q, 2 h, and 1 s. 2/35 Four letters picked without replacement from {b: 2, a: 2, f: 1, w: 1, m: 1}. Give prob of picking 1 b, 2 a, and 1 f. 2/35 Four letters picked without replacement from rrjrjrbbrbrbrrbbrb. Give prob of picking 1 j and 3 b. 7/306 What is prob of picking 1 n and 1 s when two letters picked without replacement from nnasnnnnanncndsna? 5/34 Four letters picked without replacement from llgguggsgsgssgsgggg. Give prob of picking 2 l, 1 g, and 1 s. 55/3876 What is prob of picking 3 y when three letters picked without replacement from {b: 8, y: 3}? 1/165 What is prob of picking 1 c, 1 o, and 1 k when three letters picked without replacement from ccvvcclkvocoovccvvl? 7/323 Calculate prob of picking 1 x, 1 y, and 1 d when three letters picked without replacement from {y: 1, d: 4, r: 2, x: 1, t: 2}. 1/30 Two letters picked without replacement from flffeeeqeqlqellqe. Give prob of picking 2 l. 3/68 Two letters picked without replacement from kmbmkddddkdw. Give prob of picking 2 m. 1/66 Four letters picked without replacement from {y: 12, a: 1}. What is prob of picking 4 y? 9/13 Three letters picked without replacement from kxkkkxkkxkkhkxkxx. Give prob of picking 1 x and 2 k. 27/68 Calculate prob of picking 1 f and 1 n when two letters picked without replacement from {f: 1, j: 1, w: 1, i: 2, n: 2}. 2/21 Calculate prob of picking 3 y when three letters picked without replacement from {l: 3, k: 4, y: 6}. 10/143 Two letters picked without replacement from ssfjsfsfffjsjsssff. What is prob of picking 1 f and 1 j? 7/51 What is prob of picking 2 h when two letters picked without replacement from {c: 2, x: 6, q: 3, m: 4, h: 2}? 1/136 What is prob of picking 2 l when two letters picked without replacement from {a: 3, n: 1, s: 2, x: 3, l: 9, j: 2}? 18/95 Calculate prob of picking 3 e and 1 w when four letters picked without replacement from {d: 2, f: 2, w: 1, e: 9}. 12/143 Three letters picked without replacement from {j: 2, n: 4, f: 3, a: 1}. What is prob of picking 2 f and 1 a? 1/40 Two letters picked without replacement from {x: 7, z: 2, p: 1, i: 2, w: 3, q: 5}. Give prob of picking 1 z and 1 q. 1/19 What is prob of picking 1 i and 3 o when four letters picked without replacement from {i: 6, o: 4}? 4/35 Three letters picked without replacement from fyjyycffyyyr. What is prob of picking 3 f? 1/220 Calculate prob of picking 1 e and 2 j when three letters picked without replacement from wjwejwwjwj. 1/20 What is prob of picking 1 i, 2 q, and 1 c when four letters picked without replacement from {u: 4, q: 7, i: 2, d: 3, c: 1}? 3/170 Three letters picked without replacement from {e: 1, l: 5, s: 2, c: 3, o: 7}. Give prob of picking 2 s and 1 o. 7/816 What is prob of picking 1 a and 1 d when two letters picked without replacement from {a: 6, d: 9, u: 1, g: 3}? 6/19 Four letters picked without replacement from nonnwnwogw. Give prob of picking 1 n, 2 o, and 1 g. 2/105 Calculate prob of picking 1 v, 1 g, and 1 x when three letters picked without replacement from {g: 3, x: 5, v: 2, u: 9}. 10/323 Four letters picked without replacement from {d: 5, k: 3, j: 5, x: 2}. What is prob of picking 4 j? 1/273 What is prob of picking 1 w and 1 l when two letters picked without replacement from yojopwwolpjpwoowyjwj? 1/38 Two letters picked without replacement from eeeprereerpe. What is prob of picking 2 e? 7/22 What is prob of picking 1 r and 2 a when three letters picked without replacement from {r: 5, q: 3, a: 3, v: 2}? 15/286 Three letters picked without replacement from {t: 4, p: 4, m: 2, g: 4}. What is prob of picking 1 p, 1 m, and 1 g? 8/91 Calculate prob of picking 1 u and 2 s when three letters picked without replacement from asrasassuassussasar. 24/323 Four letters picked without replacement from wwwwwwwwww. What is prob of picking 4 w? 1 Two letters picked without replacement from {m: 1, s: 1, r: 2}. Give prob of picking 2 r. 1/6 Three letters picked without replacement from {r: 5}. Give prob of picking 3 r. 1 Four letters picked without replacement from ixxxoqlioqisxoqxx. Give prob of picking 1 q, 1 x, and 2 i. 27/1190 Calculate prob of picking 1 v and 2 s when three letters picked without replacement from {p: 1, s: 6, h: 1, v: 7}. 3/13 Four letters picked without replacement from ccycycyccccccccc. What is prob of picking 1 c and 3 y? 1/140 Three letters picked without replacement from {j: 5, k: 3}. What is prob of picking 1 j and 2 k? 15/56 Four letters picked without replacement from {d: 1, c: 3, q: 3, r: 1, v: 3}. Give prob of picking 1 v, 1 q, 1 c, and 1 d. 9/110 Three letters picked without replacement from {w: 2, v: 8, l: 3, p: 1, j: 5}. Give prob of picking 1 v, 1 w, and 1 j. 80/969 Calculate prob of picking 2 o when two letters picked without replacement from eeeeeeooeeeee. 1/78 Calculate prob of picking 3 e when three letters picked without replacement from {e: 7}. 1 Two letters picked without replacement from ozooqoooozzozzooz. What is prob of picking 1 z and 1 o? 15/34 What is prob of picking 1 h and 2 y when three letters picked without replacement from yyhy? 3/4 Three letters picked without replacement from ffhfiiifvvhhififiif. What is prob of picking 1 i and 2 f? 49/323 Two letters picked without replacement from {i: 1, n: 1, p: 2, x: 1, e: 2}. Give prob of picking 1 p and 1 n. 2/21 Two letters picked without replacement from {p: 2, m: 2, n: 8}. Give prob of picking 2 p. 1/66 Calculate prob of picking 1 i and 2 n when three letters picked without replacement from onnnnnnoinpnntnt. 9/112 What is prob of picking 1 o and 1 f when two letters picked without replacement from {z: 1, q: 1, f: 1, n: 1, o: 1}? 1/10 Calculate prob of picking 2 h when two letters picked without replacement from wwhwhww. 1/21 What is prob of picking 3 x and 1 v when four letters picked without replacement from vfxxxvxxxxff? 14/99 Calculate prob of picking 1 h and 2 e when three letters picked without replacement from eeeeeeeeeeheeeheeeee. 51/190 Calculate prob of picking 2 m when two letters picked without replacement from {d: 1, j: 3, e: 3, a: 2, f: 3, m: 3}. 1/35 Three letters picked without replacement from ulluu. What is prob of picking 1 u and 2 l? 3/10 Calculate prob of picking 1 h and 2 r when three letters picked without replacement from {h: 1, r: 3}. 3/4 Calculate prob of picking 1 r and 2 j when three letters picked without replacement from xrrrrrjrxrj. 7/165 Three letters picked without replacement from {n: 1, r: 2, w: 1, d: 5, h: 8}. What is prob of picking 1 h and 2 d? 2/17 Two letters picked without replacement from {o: 7, c: 3}. What is prob of picking 1 o and 1 c? 7/15 Calculate prob of picking 4 z when four letters picked without replacement from {h: 1, f: 4, n: 2, z: 8, e: 4}. 35/1938 Three letters picked without replacement from {a: 3, b: 5}. Give prob of picking 3 a. 1/56 Two letters picked without replacement from ihifhiihfihih. Give prob of picking 1 i and 1 h. 5/13 Calculate prob of picking 1 c, 1 a, and 2 f when four letters picked without replacement from ffcffffafafafa. 144/1001 Three letters picked without replacement from {n: 16, x: 2}. Give prob of picking 2 x and 1 n. 1/51 What is prob of picking 2 v when two letters picked without replacement from jtctvvvvvctv? 5/22 Two letters picked without replacement from {h: 1, s: 1, v: 1, i: 2, p: 1, u: 1}. What is prob of picking 1 u and 1 v? 1/21 What is prob of picking 2 i and 1 x when three letters picked without replacement from ixxi? 1/2 What is prob of picking 2 e, 1 c, and 1 x when four letters picked without replacement from {q: 1, o: 4, x: 2, c: 3, e: 6, v: 3}? 15/646 Calculate prob of picking 2 d and 1 l when three letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
1/36 Three letters picked without replacement from pppppdppddpppdpddp. What is prob of sequence ppp? 55/204 Calculate prob of sequence xex when three letters picked without replacement from fufueaeueaaxfafaxuax. 1/380 Calculate prob of sequence lk when two letters picked without replacement from {l: 10, d: 1, k: 4, c: 4}. 20/171 Calculate prob of sequence eers when four letters picked without replacement from {e: 2, r: 4, s: 7}. 7/2145 Three letters picked without replacement from {y: 5}. Give prob of sequence yyy. 1 Four letters picked without replacement from {d: 5, a: 3}. What is prob of sequence aaad? 1/56 Three letters picked without replacement from {t: 2, n: 2}. What is prob of sequence tnt? 1/6 Two letters picked without replacement from {o: 9, g: 3}. What is prob of sequence oo? 6/11 Two letters picked without replacement from xjyiiixxyyxjyw. Give prob of sequence ii. 3/91 Three letters picked without replacement from {h: 1, y: 3, j: 1, l: 2}. What is prob of sequence hjl? 1/105 Three letters picked without replacement from {z: 8, r: 3}. Give prob of sequence zrz. 28/165 What is prob of sequence xqxp when four letters picked without replacement from {q: 2, f: 2, p: 4, x: 1, b: 3}? 0 What is prob of sequence eg when two letters picked without replacement from gttgggrttgetttgt? 1/40 Two letters picked without replacement from fukjfonk. What is prob of sequence ju? 1/56 Three letters picked without replacement from {q: 1, z: 1, t: 2, d: 8, n: 2, b: 1}. What is prob of sequence nzd? 8/1365 Calculate prob of sequence vvv when three letters picked without replacement from {v: 10}. 1 What is prob of sequence zz when two letters picked without replacement from zmzzzzmz? 15/28 Four letters picked without replacement from {s: 6, p: 10, h: 4}. Give prob of sequence pshs. 10/969 Four letters picked without replacement from jjllljjjjilljl. Give prob of sequence jljl. 15/286 What is prob of sequence dkt when three letters picked without replacement from {t: 7, d: 3, r: 3, k: 1}? 1/104 Two letters picked without replacement from {c: 6}. What is prob of sequence cc? 1 Calculate prob of sequence zm when two letters picked without replacement from {p: 12, z: 1, m: 1}. 1/182 Calculate prob of sequence kzh when three letters picked without replacement from vbzvgvkgzgvkghkvvhz. 1/323 Four letters picked without replacement from {q: 3, k: 6, c: 2, o: 2, v: 2, m: 2}. What is prob of sequence qckq? 3/2380 Calculate prob of sequence xv when two letters picked without replacement from aqdvaxxxdvxqdxdxqaqa. 3/95 Two letters picked without replacement from {z: 10, b: 8, n: 1}. Give prob of sequence zz. 5/19 Four letters picked without replacement from {t: 3, r: 1, f: 4}. Give prob of sequence trtf. 1/70 Three letters picked without replacement from {e: 3, n: 2}. What is prob of sequence enn? 1/10 Two letters picked without replacement from uhhhuhhhhhhhhhhu. Give prob of sequence uh. 13/80 What is prob of sequence reer when four letters picked without replacement from jjeereefejrejeje? 1/390 Four letters picked without replacement from {x: 1, t: 3}. Give prob of sequence xxxx. 0 Calculate prob of sequence uu when two letters picked without replacement from lulull. 1/15 Two letters picked without replacement from qoinlllll. Give prob of sequence no. 1/72 What is prob of sequence abc when three letters picked without replacement from {b: 2, c: 4, e: 9, a: 3}? 1/204 What is prob of sequence hhh when three letters picked without replacement from {h: 3}? 1 Three letters picked without replacement from qaadoduduaoa. Give prob of sequence daa. 3/110 Calculate prob of sequence om when two letters picked without replacement from ffjommmfmommuuf. 2/35 What is prob of sequence rr when two letters picked without replacement from {r: 2, f: 1, x: 1}? 1/6 Calculate prob of sequence ba when two letters picked without replacement from babwbawa. 9/56 What is prob of sequence ada when three letters picked without replacement from {d: 4, a: 4, n: 7}? 8/455 Calculate prob of sequence uiuu when four letters picked without replacement from {i: 6, u: 12}. 11/102 Two letters picked without replacement from djjd. What is prob of sequence jj? 1/6 Calculate prob of sequence xgsk when four letters picked without replacement from sxkvuggs. 1/420 Calculate prob of sequence ll when two letters picked without replacement from {x: 4, l: 5, z: 2, t: 2, i: 1}. 10/91 What is prob of sequence tyyt when four letters picked without replacement from {t: 4, y: 14}? 91/3060 What is prob of sequence heth when four letters picked without replacement from hhhhveethtehhehhh? 3/238 What is prob of sequence bbmb when four letters picked without replacement from {b: 3, m: 3}? 1/20 What is prob of sequence sxqr when four letters picked without replacement from {q: 7, r: 4, x: 2, s: 1}? 1/429 Three letters picked without replacement from uwwwuhhwwh. Give prob of sequence www. 1/12 What is prob of sequence hr when two letters picked without replacement from caccfrarcaaachrarc? 2/153 Calculate prob of sequence hh when two letters picked without replacement from {t: 9, h: 2, x: 5, e: 2}. 1/153 Two letters picked without replacement from {y: 2, j: 2, x: 2, w: 2, f: 5}. What is prob of sequence yj? 1/39 Two letters picked without replacement from hmhhhqhmmm. What is prob of sequence mq? 2/45 Three letters picked without replacement from bdkjdudadjku. Give prob of sequence djb. 1/165 Three letters picked without replacement from xduwdddxu. What is prob of sequence uwx? 1/126 Four letters picked without replacement from {a: 1, p: 7}. What is prob of sequence ppap? 1/8 Two letters picked without replacement from {b: 2, d: 5, a: 7}. What is prob of sequence ab? 1/13 Calculate prob of sequence uck when three letters picked without replacement from gekgguuugcuccjj. 2/455 Calculate prob of sequence uyrc when four letters picked without replacement from rcpyu. 1/120 Three letters picked without replacement from {e: 2, x: 3, z: 10, y: 1, j: 2, a: 2}. Give prob of sequence xxz. 1/114 Calculate prob of sequence rmy when three letters picked without replacement from {r: 5, d: 3, o: 2, m: 3, y: 1, z: 1}. 1/182 Two letters picked without replacement from {r: 1, t: 4, z: 1, m: 1, w: 4, h: 1}. What is prob of sequence zr? 1/132 Calculate prob of sequence vm when two letters picked without replacement from {v: 3, m: 4}. 2/7 Two letters picked without replacement from {m: 2, i: 3, c: 4}. Give prob of sequence mc. 1/9 What is prob of sequence bzz when three letters picked without replacement from {b: 2, k: 1, z: 2, y: 1}? 1/30 Two letters picked without replacement from {b: 1, s: 1, g: 2, r: 2, d: 1, t: 1}. Give prob of sequence ds. 1/56 Calculate prob of sequence jm when two letters picked without replacement from {o: 7, j: 1, m: 10}. 5/153 What is prob of sequence ffp when three letters picked without replacement from pfpfpppfppff? 7/66 Two letters picked without replacement from {t: 4, k: 2, j: 2, u: 5}. What is prob of sequence ku? 5/78 Calculate prob of sequence bb when two letters picked without replacement from {b: 2, s: 2, q: 1, o: 1}. 1/15 What is prob of sequence hjj when three letters picked without replacement from {h: 2, j: 4}? 1/5 Calculate prob of sequence uccu when four letters picked without replacement from uuuuuuuuccucuucuuuc. 455/11628 Calculate prob of sequence gggu when four letters picked without replacement from {u: 6, g: 6, b: 7}. 5/646 Two letters picked without replacement from {r: 7, x: 2}. What is prob of sequence xr? 7/36 Three letters picked without replacement from rgrrrztyy. What is prob of sequence tzy? 1/252 Two letters picked without replacement from {s: 4, m: 6, l: 2, p: 1, c: 3, e: 2}. What is prob of sequence ce? 1/51 Calculate prob of sequence imt when three letters picked without replacement from {i: 1, j: 1, t: 2, m: 1}. 1/30 Calculate prob of sequence sgs when three letters picked without replacement from ssssgsss. 1/8 Calculate prob of sequence rxx when three letters picked without replacement from xmmmxccxxrmxxcxmmxx. 4/323 What is prob of sequence fh when two letters picked without replacement from {h: 1, f: 2, c: 3, v: 4}? 1/45 Three letters picked without replacement from {i: 5, u: 8,
{ "pile_set_name": "DM Mathematics" }
-z + 183. Determine q(p(d)). 9*d + 183 Let s(u) be the first derivative of -u**3 - 3. Let n(b) = -11*b**2 + 13*b + 13. Let g(v) = -5*v**2 + 6*v + 6. Let d(t) = 13*g(t) - 6*n(t). Calculate d(s(o)). 9*o**4 Let q(o) = -19*o**2 + 5*o + 5. Let z(t) = -t**2 + t + 1. Let g(s) = q(s) - 5*z(s). Let m(j) = -j. What is m(g(d))? 14*d**2 Let a(m) = 17*m**2. Let v(o) = 47*o - 4. What is v(a(n))? 799*n**2 - 4 Let u(o) = o - 13. Let l(d) = -280 - d**2 + 0*d**2 + 280. Calculate l(u(x)). -x**2 + 26*x - 169 Let y(b) = -b**2 - 11 - 2*b**2 - 9*b**2. Let r(s) = s**2 + 1. Let v(n) = 22*r(n) + 2*y(n). Let x(t) = 3*t**2. Calculate x(v(z)). 12*z**4 Let k(a) = 3*a**2. Suppose -2*i = -3*s - 5*i + 18, -2*i = 4*s - 16. Let x(b) = -4*b**s + b**2 + b**2 - b**2. Calculate k(x(m)). 27*m**4 Suppose -j - 2 = -5. Let b(p) = -j*p**2 + 4 - 5 + 1. Let o(r) = -2*r. Give o(b(v)). 6*v**2 Let u(z) = 11*z. Let d(h) = 3*h + 34. Determine d(u(l)). 33*l + 34 Let t(c) = -3*c**2 - 5*c - 5. Let n(a) = -5*a**2 - 8*a - 8. Let b(d) = 5*n(d) - 8*t(d). Let j(l) = -15*l. Determine j(b(u)). 15*u**2 Let x(w) = -256*w - 1. Let g(n) = n**2. Calculate x(g(p)). -256*p**2 - 1 Let u(j) = -20*j**2. Let g(y) = 561*y**2. Let t(m) = -3*g(m) - 85*u(m). Let a(o) = 2*o. Give a(t(s)). 34*s**2 Let k(d) = -18*d. Let n(w) = 10*w**2 - 2. Let z(b) = 12*b**2 - 3. Let q(o) = -3*n(o) + 2*z(o). Calculate k(q(v)). 108*v**2 Let f(g) = -191*g**2 + 3. Let k(y) = -2*y. Determine k(f(n)). 382*n**2 - 6 Let j(t) = 2*t. Let n(l) = -3*l**2 - 14*l. Determine n(j(s)). -12*s**2 - 28*s Let y(q) = 3*q - 2. Let o(s) = -1. Let j(c) = 2*o(c) - y(c). Let g(n) be the third derivative of -5*n**2 + 0*n**3 + 0*n + 0 - 1/12*n**4. What is g(j(k))? 6*k Let a(s) = -s. Let c(v) = -566*v**2. Calculate a(c(n)). 566*n**2 Suppose -2 = -v - 2*q + 10, 0 = -3*v + 4*q - 14. Let r(c) = 0*c - c**2 - 2*c + v*c. Let n(k) = -7*k. What is n(r(p))? 7*p**2 Let p(v) = -3180*v**2. Let r(x) = -2*x. Determine r(p(o)). 6360*o**2 Let v(f) = 850*f**2 - f + 1. Let c(s) = -2*s. What is c(v(t))? -1700*t**2 + 2*t - 2 Let l(y) be the first derivative of y**3/3 + 3. Let m(p) = -2*p**2. Calculate l(m(t)). 4*t**4 Let x(j) = 3*j. Let w(a) be the third derivative of -7*a**5/60 - a**2. What is x(w(n))? -21*n**2 Let c(u) = -66*u + 5. Let g(f) = 165*f - 12. Let l(j) = -12*c(j) - 5*g(j). Let t(z) = -2*z**2. Calculate l(t(n)). 66*n**2 Let d(p) be the second derivative of p**4/6 + p. Let y(l) = -3*l**2. Calculate y(d(m)). -12*m**4 Let o(t) = -216*t. Let c(f) = f**2. Give o(c(p)). -216*p**2 Let j(a) = a - 3. Let t(y) = 3*y - 8. Let d(g) = 8*j(g) - 3*t(g). Let b(f) be the second derivative of -f**4/12 - 3*f. Calculate b(d(z)). -z**2 Let y(l) = 7*l**2. Let f(j) = 7*j**2 + 2*j - 3*j**2 - 2*j. Give f(y(c)). 196*c**4 Let q(m) = 3*m. Let r(s) = 314*s**2. Calculate r(q(y)). 2826*y**2 Let l(f) = f**2. Suppose 0 = -x + 3 - 1. Let i(k) = 2*k**2 - k**2 - 2*k**2 + 3*k**x. What is l(i(a))? 4*a**4 Let o(p) = 3*p. Let y(h) = -7*h - 13*h - 14*h + 33*h. Calculate o(y(x)). -3*x Let w(g) = -9*g**2 - 2*g. Let l(a) = -19*a**2 - 5*a. Let f(v) = -2*l(v) + 5*w(v). Let n(h) = 3*h. Give f(n(i)). -63*i**2 Let h(p) = -7*p**2. Let v(s) be the third derivative of s**7/840 + 7*s**4/24 + s**2. Let m(j) be the second derivative of v(j). What is m(h(w))? 147*w**4 Let w(k) = 0*k + 5 - 5 - 3*k. Let m(b) = -b - 2*b + 4*b. Calculate m(w(v)). -3*v Let y(x) be the first derivative of -x**5/30 - x**2/2 + 3. Let i(v) be the second derivative of y(v). Let c(m) = 2*m**2. What is c(i(f))? 8*f**4 Let h(c) = 280*c**2 + 274*c**2 - 552*c**2. Let o(g) = -25*g. What is o(h(z))? -50*z**2 Let s(m) = m. Let n(b) = 2*b. Suppose 4*u + 2*y - 60 = 0, 5*u = -5*y - 0*y + 70. Suppose u = q + q. Let o(p) = q*s(p) - 5*n(p). Let g(j) = 3*j**2. Give g(o(l)). 12*l**2 Let w(s) = 7*s**2 - s**2 - 2*s**2. Let v(p) = 3*p. Calculate w(v(u)). 36*u**2 Let u(a) be the second derivative of a**4/6 + 4*a. Let r(n) = 13*n**2. Give r(u(g)). 52*g**4 Let d(s) = -2*s. Let z(r) = 9 - 9 + r**2 + 0*r**2. Determine d(z(b)). -2*b**2 Let w(q) = q**2. Let o(z) be the third derivative of -z**5/12 - 4*z**2. Calculate w(o(s)). 25*s**4 Let z(a) = 4*a + 16844 - 16844. Let k(n) = -11*n**2. Calculate k(z(o)). -176*o**2 Let m(c) = c**2. Let p(j) = 0*j + j + 1 + 1 - j**2 + 4*j. Let f be p(5). Let w(h) = -2*h**f - h**2 + h**2. Give m(w(b)). 4*b**4 Let s(c) = 15 + 17 - 32 - 3*c. Let p(m) = 2*m. Determine p(s(d)). -6*d Let x(c) be the second derivative of c**3/3 - 5*c. Let g(b) be the first derivative of -3*b**2 - 2. What is g(x(j))? -12*j Let q(g) = 20*g**2 + 14. Let u(y) = -4*y**2 - 3. Let a(i) = 3*q(i) + 14*u(i). Let s(m) = 2*m. Determine s(a(t)). 8*t**2 Let b(m) = m**2 + m + 1. Let k(r) = -2*r**2 - 3*r - 3. Let o(j) = -3*b(j) - k(j). Let z(s) be the second derivative of -s**3/2 - s. Calculate z(o(p)). 3*p**2 Let o(j) = j. Let n(q) = 2*q - 4*q + 5*q. Determine n(o(w)). 3*w Let t(s) = -s**2. Let x(f) = -7*f**2 - 247. Give t(x(o)). -49*o**4 - 3458*o**2 - 61009 Let d(z) = 2*z + 172. Let j(v) = 3*v**2. Give j(d(t)). 12*t**2 + 2064*t + 88752 Let s(j) be the third derivative of -j**7/2520 + j**4/8 + 2*j**2. Let m(t) be the second derivative of s(t). Let i(y) = -5*y. Calculate m(i(c)). -25*c**2 Let g(z) = 421*z. Let s(i) = 5*i**2. What is g(s(b))? 2105*b**2 Let n(m) = -99*m**2. Let y(b) = 4*b**2. Give n(y(l)). -1584*l**4 Let k(p) = p. Let v(y) = 16*y - 5. Let a(u) = -208*u + 64. Let m(c) = 5*a(c) + 64*v(c). Determine k(m(x)). -16*x Let x be 2/(-3 - (-21)/6). Let w(k) = -3 - 19*k**2 - 1 + x. Let j(d) = 2*d**2. Calculate j(w(h)). 722*h**4 Let m(g) = -47*g**2. Let a(h) = 14*h**2. Calculate a(m(y)). 30926*y**4 Let f(q) = -301*q**2. Let g(w) = -w**2. Calculate g(f(t)). -90601*t**4 Let u(f) = f**2 - f - 1. Let d(r) = 5*r**2 - 10*r - 10. Let z(b) = -d(b) + 10*u(b). Let q(t) = -8*t. Give q(z(h)). -40*h**2 Suppose -5*z = -3*y, 4*y = -5*z + y. Let a(b) = 2*b + z*b**2 - 2*b - 2*b**2. Let t(h) = -21*h**2. What is t(a(d))? -84*d**4 Let o(r) = -350*r**2. Let v(h) = 6*h**2. Calculate v(o(u)). 735000*u**4 Let t(r) = 2*r. Let l(n) = -8*n**2 + n. What is l(t(o))? -32*o**2 + 2*o Let s(y) = -12*y + 18. Let c(k) = 8*k. Calculate s(c(u)). -96*u + 18 Let o = 18 - 13. Let w(h) = -6*h - 2 - 3 + o. Let l(m) = -2*m**2. Give l(w(q)). -72*q**2 Let a(m) = m + 0*m - 7 + 7. Let j be ((-3)/9)/((-1)/6). Let r(d) = -2*d**2 + 5*d**j - 3*d**2 + d**2. Determine r(a(p)). p**2 Let x(f) = 1. Let c(n) = 7*n + 8 - 4*n - 2. Let a(m) = c(m) - 6*x(m). Let k(d) = -6*d. Calculate k(a(g)). -18*g Let w(r) be the first derivative of r**2 + r - r + 5 + 2*r**2. Let y(a) = a**2. Determine y(w(l)). 36*l**2 Let p(y) = 28*y. Let u(l) = -15*l**2. What is u(p(f))? -11760*f**2 Let i(c) = 3*c. Let w(v) = 26*v**2. Calculate w(i(a)). 234*a**2 Let q(z) = -16 + z + 16. Let a(t) = 2*t. Let u(h) = -4*a(h) + 12*q(h). Let f(k) = -2*k**2. Determine u(f(d)). -8*d**2 Let y(o) be the second derivative of -o**3/3 + o. Let k(v) = 262*v**2 - 127*v**2 - 132*v**2. Determine y(k(u)). -6*u**2 Let z(c) = c**2 + 3*c + 3. Let a(q) = -2*q + 4. Let i(l) = -3*l + 5. Let k(b) = 4*a(b) - 3*i(b). Let m(j) = -3*k(j) + z(j). Let o(u) = 10*u**2. Give m(o(x)). 100*x**4 Let y(x) = -2*x**2. Let u(l) = -186*l - 2. What is u(y(z))? 372*z**2 - 2 Let l(m) = -5*m**2. Let q(o) = 31*o. Calculate l(q(c)). -4805*c**2 Let r(v) = -6663*v. Let a(t) = -3*t. Give a(r(w)). 19989*w Let m(o) = 2*o**2. Let s(g) = -2*g**3 + g**2. Let v be s(-1). Let c(a) = -2*a + a + v*a. Determine c(m(r)). 4*r**2 Let m(u) be the first derivative of -u**3 + 3. Let y(v) = v - 1. Let l(b) = -b**2 + 2*b - 2. Let n(c) = -2*l(c) + 4*y(c). Give m(n(s)). -12*s**4 Let r(q) = 56*q. Let z(l) = l**2. Calculate r(z(n)). 56*n**2 Suppose 0 = -7*p + 11*p - 12. Let j(x) = -3*x + 2*x + p*x. Let i(w) = -13*w. Determine j(i(z)). -26*z Let o(k) = -2*k - 2*k + k + 5*k. Let c(u) = -8*u + 6. Let d(i) = i - 1. Let f(r) = -c(r) - 6*d(r). Determine f(o(n)). 4*n Let t(d) = -d. Suppose a + 3*a + 2*q = 2, -a - 4 = -4*q. Let v(g) be the second derivative of -2*g - 1/6*g**3 + a + 0*g**2. Give t(v(j)). j Let a(u) = 2*u. Let f(j) = 6*j**2 - 11*j + 5. Let l(d) = d**2 - 2*d + 1. Let b(t) = 6*f(t) - 33*l(t). Let s(m) = -1. Let g(k) = b(k) - 3*s(k). Give g(a(r)). 12*r**2 Let u = -4 - -6. Let w(d) = -2 + 2*d + u. Let m(v) = -v**2 - 56 + 56. Give m(w(k)).
{ "pile_set_name": "DM Mathematics" }
comes next: -18679, -18680, -18681? -18682 What is next in 94, 375, 830, 1447, 2214, 3119? 4150 What is next in 14, 2, -22, -64, -130, -226, -358, -532? -754 What is the next term in -3, 1, 27, 93, 217, 417, 711? 1117 What comes next: -2603, -5205, -7807, -10409? -13011 What comes next: 30, 35, 34, 21, -10, -65? -150 What is the next term in -3, 22, 61, 108, 157, 202, 237? 256 What comes next: -173, -165, -153, -137, -117, -93? -65 What is the next term in 806, 1613, 2420? 3227 What is next in -196, -194, -190, -184, -176? -166 What comes next: 3, -126, -509, -1272, -2541? -4442 What comes next: 943, 942, 943, 946, 951, 958? 967 What is next in -1354, -1379, -1426, -1507, -1634, -1819, -2074? -2411 What is the next term in 384, 768, 1152, 1536, 1920, 2304? 2688 What comes next: 78, 73, 66, 57, 46, 33, 18? 1 What comes next: -85, -190, -373, -640, -997, -1450? -2005 What comes next: -37, -74, -111, -148? -185 What is the next term in 826, 3296, 7404, 13144, 20510, 29496? 40096 What is next in -86, -86, -74, -44, 10, 94, 214? 376 What is next in -34, -105, -212, -355, -534? -749 What is the next term in 1, -7, -15, -23, -31, -39? -47 What is next in -144, -106, -6, 186, 500, 966? 1614 What is the next term in -18, -28, -40, -54, -70? -88 What is the next term in 20, 63, 124, 197, 276, 355, 428, 489? 532 What is the next term in 2042, 2043, 2044, 2045, 2046? 2047 What is the next term in -25, -36, -47, -58? -69 What is the next term in 2, -32, -86, -160? -254 What is the next term in 38, 39, 40? 41 What comes next: -409, -825, -1239, -1651, -2061, -2469, -2875? -3279 What is next in -12, -6, -2, 0? 0 What is the next term in -49, -66, -89, -118, -153, -194, -241? -294 What is the next term in -111, -216, -323, -432? -543 What comes next: -73, -107, -127, -127, -101, -43? 53 What is the next term in 10, -18, -66, -134? -222 What comes next: -32, -46, -54, -56, -52, -42, -26? -4 What is next in -4, 11, 36, 71, 116, 171? 236 What is the next term in 314, 310, 306, 302, 298, 294? 290 What is the next term in -1423, -1418, -1409, -1396? -1379 What comes next: 40, 59, 98, 163, 260, 395? 574 What comes next: 64927, 64928, 64929? 64930 What comes next: -29, -104, -229, -404, -629? -904 What is the next term in 72895, 72896, 72897, 72898, 72899? 72900 What is next in 380, 374, 358, 326, 272? 190 What comes next: 1476, 2951, 4426, 5901, 7376, 8851? 10326 What comes next: 175, 171, 167, 163, 159? 155 What is the next term in -119, -426, -935, -1646, -2559, -3674? -4991 What comes next: 13, 28, 43, 58, 73, 88? 103 What is next in -420, -834, -1248, -1662, -2076, -2490? -2904 What is the next term in 82, 161, 240, 319? 398 What is the next term in -142, -145, -148, -151, -154, -157? -160 What is the next term in -43, -7, 53, 137, 245, 377? 533 What comes next: 26729, 26718, 26693, 26648, 26577? 26474 What is next in -20024, -40062, -60112, -80180, -100272, -120394? -140552 What comes next: -68, -56, -32, 4, 52, 112, 184? 268 What is next in 130, 127, 122, 115, 106, 95, 82? 67 What is next in -6090, -6089, -6088? -6087 What is next in 21, 73, 161, 285? 445 What is next in 45, 36, 37, 54, 93, 160, 261? 402 What comes next: 15, 11, 3, -9, -25? -45 What is the next term in -748, -1501, -2254, -3007, -3760? -4513 What is next in 293, 289, 283, 275, 265? 253 What is next in -612, -668, -734, -816, -920? -1052 What is the next term in -18, -8, 60, 216, 490, 912? 1512 What is the next term in 22, 62, 120, 202, 314, 462? 652 What is next in 108, 221, 334? 447 What comes next: -88, -90, -84, -64, -24? 42 What is next in -42, -82, -122, -162? -202 What comes next: -3, 17, 41, 69? 101 What comes next: -2087, -2084, -2079, -2072? -2063 What comes next: 7, -3, -19, -41? -69 What comes next: 2084, 2091, 2102, 2117, 2136? 2159 What comes next: 1, 5, 35, 103, 221, 401, 655, 995? 1433 What is the next term in 11, 49, 121, 233, 391? 601 What is next in -4155, -4156, -4157, -4158? -4159 What comes next: -121, -238, -355, -472, -589, -706? -823 What is next in -6593, -6581, -6555, -6509, -6437? -6333 What is the next term in 8, 31, 60, 89, 112, 123? 116 What is the next term in 5492, 5491, 5490, 5489? 5488 What comes next: 5, 11, 23, 41, 65, 95, 131? 173 What comes next: 167, 169, 171, 173, 175? 177 What is the next term in 9950, 19902, 29854, 39806, 49758, 59710? 69662 What is the next term in 151, 157, 165, 175, 187? 201 What is next in 44, 79, 174, 359, 664? 1119 What is the next term in 449, 894, 1333, 1772, 2217, 2674? 3149 What comes next: -32, -37, -42, -47? -52 What comes next: -757, -1519, -2281, -3043, -3805? -4567 What comes next: 31, 123, 277, 493? 771 What comes next: 51, 102, 155, 210, 267, 326, 387? 450 What is the next term in 23, 49, 81, 119, 163, 213, 269? 331 What is next in 163, 210, 339, 592, 1011, 1638, 2515, 3684? 5187 What comes next: 65, 140, 231, 344, 485, 660, 875? 1136 What is next in -969, -967, -963, -957, -949, -939? -927 What is the next term in -185, -285, -385? -485 What comes next: 8, -22, -100, -250, -496, -862, -1372? -2050 What comes next: -23, -98, -223, -398, -623, -898? -1223 What comes next: -18, -27, -36, -45, -54, -63? -72 What is the next term in -1005, -1004, -1013, -1038, -1085, -1160? -1269 What is next in 13, 8, -9, -44, -103, -192, -317? -484 What is next in -9, -5, 1, 9, 19? 31 What is next in -44, -25, 6, 55, 128, 231, 370? 551 What comes next: -11, -20, -25, -20, 1? 44 What is the next term in 138, 294, 452, 612? 774 What is the next term in 1395, 1384, 1361, 1320, 1255, 1160? 1029 What comes next: 76, 70, 50, 10, -56, -154, -290, -470? -700 What is next in 21, 60, 131, 240, 393, 596? 855 What is next in 5, 14, 37, 80, 149? 250 What is next in 1729, 6932, 15603, 27742? 43349 What comes next: 39, 48, 57? 66 What is the next term in 435, 426, 417, 408, 399, 390? 381 What is next in -100, -92, -78, -58, -32, 0, 38? 82 What comes next: 296, 1166, 2622, 4670, 7316, 10566? 14426 What is the next term in -4, 0, 14, 44, 96? 176 What comes next: 5722, 5725, 5728? 5731 What comes next: 104, 142, 250, 464, 820? 1354 What is next in 402, 1599, 3594, 6387, 9978? 14367 What is the next term in 33, 57, 81, 105, 129, 153? 177 What is the next term in -94, -153, -202, -235, -246, -229, -178, -87? 50 What comes next: 188, 574, 1218, 2120, 3280, 4698, 6374? 8308 What is the next term in 22468, 22467, 22466, 22465, 22464, 22463? 22462 What is the next term in -987, -1006, -1037, -1080? -1135 What is the next term in 116, 235, 352, 467, 580? 691 What is the next term in 7247, 7248, 7251, 7256, 7263, 7272, 7283? 7296 What comes next: -234, -232, -230, -228, -226, -224? -222 What comes next: 294, 291, 288, 285? 282 What is next in -66, -250, -558, -990, -1546, -2226, -3030? -3958 What is next in 6552, 6553, 6554, 6555? 6556 What is next in 25, 70, 137, 226, 337, 470? 625 What comes next: -799, -799, -817, -859, -931, -1039, -1189? -1387 What comes next: -143, -139, -135? -131 What is the next term in -306, -626, -962, -1314, -1682? -2066 What is next in -99, -98, -105, -126, -167? -234 What comes next: -840, -1672, -2490, -3288, -4060, -4800, -5502, -6160? -6768 What comes next: 101, 169, 229, 275, 301? 301 What is next in -152, -589, -1316, -2333, -3640, -5237? -7124 What comes next: 92, 364, 816, 1448, 2260? 3252 What is the next term in 11360, 11361, 11362, 11363? 11364 What comes next: 3, 14, 41, 90, 167, 278? 429 What comes next: -2030, -2043, -2070, -2117, -2190, -2295? -2438 What is next in -22, -65, -108, -151, -194, -237? -280 What is next in -80, -159, -238, -317, -396? -475 What is next in -4, -29, -84, -181, -332, -549, -844? -1229 What is the next term in 11, 126, 421, 980, 1887? 3226 What is next in -44, -90, -158, -260, -408? -614 What comes next: -7, -18, -31, -46, -63, -82? -103 What is the next term in -641, -640, -641, -644, -649, -656, -665? -676 What is the next term in 2, -12, -16, -4, 30, 92? 188 What is the next term in -2148, -2149, -2150, -2151, -2152, -2153? -2154 What is next in 982, 1956, 2932, 3910, 4890? 5872 What is the next term in 116, 235, 358, 485, 616, 751? 890 What comes next: -1244, -2474, -3682, -4856, -5984, -7054, -8054, -8972? -9796 What is next in -44, -92, -140, -188, -236, -284? -332 What is next in
{ "pile_set_name": "DM Mathematics" }
pand (-6*a - 9*a + 7*a)*(69*a - 34*a - 31*a)*(11*a**2 - 6*a**2 + 6*a**2 - a). -352*a**4 + 32*a**3 Expand (3*t**3 - 3*t**3 - 2*t**3)*(-4*t + 2*t + 0*t) - 2 - t**4 + 2 - 19*t**4 + 31*t**2 - 33*t**2 - 15*t**4. -31*t**4 - 2*t**2 Expand -k + 0 + 0 + (-929*k - 412*k - 273*k)*(4 + 3 + 6). -20983*k Expand (-24*k**2 + 24*k**2 - 2*k**3)*(-183 - 21 - 72)*(-7 - 3 + 1). -4968*k**3 Expand (-3 - v + 3)*(v**2 + 7*v**2 - 3*v**2)*(-4*v + 9 - 9)*(3 + 2 - 2). 60*v**4 Expand (4 - 3 + 0)*(4*t - 8*t + 5*t)*(-56*t**2 + 355*t - 355*t)*(0 - 2 + 0). 112*t**3 Expand (-16*r - 23*r + 51*r)*(-1 + 1 + r)*(-8 + 8 - 12*r). -144*r**3 Expand (-11*o**4 - o**4 + 3*o**4)*(-6 - 5 - 6) + (-1 - 1 - 1)*(0*o**2 - o**4 + 0*o**2). 156*o**4 Expand (893*q**2 + 584*q**2 + 836*q**2 + 0*q**2 + 2*q**2 + 4*q**2 + 2*q**2 - q**2 - 3*q**2 + (2*q + 1 - 1)*(-q + 3 - 3) + q**2 - q + q)*(-3 - 2*q + 3). -4632*q**3 Expand (-1 + 1 + 2*s)*(6 - 54 + 5) + 51*s + 21 - 1 - 47*s. -82*s + 20 Expand 46 + 275*x - 277*x - 4 + (-2*x + x - 2*x)*(-4 + 5 + 1) - 8*x - 15*x + 4*x. -27*x + 42 Expand (3*i - 3*i + 2*i**2)*(1316*i - 589*i**3 - 1316*i). -1178*i**5 Expand (-842 - 841 + 1681 + 632*f)*(-2 + 6 - 2). 1264*f - 4 Expand 287*a**3 - 287*a**3 + 62*a**4 + (-7*a**3 - 27*a**2 - 4 + 27*a**2)*(-3 - a + 3)*(1 + 0 - 2). 55*a**4 - 4*a Expand (4*g + 16*g - 10*g)*(2 - 2 - 2*g)*(3 - 11 + 3)*(-4 + 4 + g + (4 + 0 + 1)*(-g + 6*g - 4*g)). 600*g**3 Expand (0*r - 12*r + 0*r)*(-2 + 2 + 2*r**2) + (-4 - 2 - 5)*(4 + r**3 - 4). -35*r**3 Expand (-6 + 13 + 23)*(3*s - s - 7*s)*(2 + 0 - 1)*(-1 + 1 + 7*s). -1050*s**2 Expand (4*c**2 - 2*c**2 + 2*c**2)*(-15*c - 24*c**2 + 29*c**2 - 6*c**2). -4*c**4 - 60*c**3 Expand (-28044 + 55943 - 28441)*(0 + 2*y + 0). -1084*y Expand (28*m + 33*m + 23*m)*(-4*m**2 + 4*m - 4*m) + 3*m**3 - 3*m**3 + 3*m**3. -333*m**3 Expand (-4 + 0 + 2 + (0 + 1 + 1)*(-1 - 4 + 3) - 4 - 3 + 6 + 60 - 134 - 161)*(-j**3 - j**2 + j**2)*(-1 + 1 + 1). 242*j**3 Expand -14*s**2 + 19*s**2 + 24*s**2 + (51 - 11*s - 51)*(0*s + 2*s + 0*s). 7*s**2 Expand (-1 + 2 + 0)*(5 - 3*u - u - 2)*(55 + 14 - 1). -272*u + 204 Expand (0*m**3 - 3*m**3 + 2*m**3 + 4*m**3 - m**3 - 2*m**3 + (5*m - 5*m + 2*m)*(-2*m**2 + 0*m**2 + 0*m**2))*(-3959*m + 6409*m - 3515*m). 4260*m**4 Expand (-183*m**2 - 50*m**2 + 12*m**2)*(147*m - 20*m**3 - 147*m). 4420*m**5 Expand (-2*d**2 + 2 - 2 + (-2 + 2 - 2*d)*(-2*d + 2*d + d) + 4*d - 6*d**2 - 4*d)*(-1 + 11 - 4 + 3 - 3 + 3 + 2 - 2 + 3 + (2 + 0 - 1)*(-1 + 0 - 1)). -100*d**2 Expand (3*z - 2 + 2)*(4*z**2 + 0*z**2 - z**2) - 6*z**3 + 10*z**3 - 8*z**3. 5*z**3 Expand (-4*w - 4*w + 11*w - 5*w**2)*(1 - 3 + 0)*(3*w - 2*w + 0*w + (-7 + 7 - 5*w)*(-2 + 0 + 1) - w + 3 - 3). 50*w**3 - 30*w**2 Expand (98 + 3*m - 9*m - 94)*(-15 - 18 + 23 + (-3 + 2 + 2)*(-3 + 2 - 1)). 72*m - 48 Expand (-5 + 0*u + 11 + 3*u)*(3*u**2 - 6*u**2 + u**2) + (-u**2 + 0*u**2 - u**2)*(4 - 3 - 3)*(0 - 2 - 3)*(-1 + 3*u + 1). -66*u**3 - 12*u**2 Expand (-4 - 3 + 2)*(-2 + 0 + 11)*(-3*u + 3*u + u) + (-12 - 2 + 2)*(-3*u + 7*u - 2*u). -69*u Expand (-4 + 4 + 2)*(44 - 44 + 50*u) - u - 5*u + 4*u + (-2*u + 2 - 2)*(1 + 1 - 1) + 193 - 2*u - 353 + 180. 94*u + 20 Expand -55*k**3 - 6951*k**5 + 1777*k**5 + 55*k**3 + (2*k**2 + 2*k**2 - 6*k**2)*(0*k**3 + k**3 - 3*k**3). -5170*k**5 Expand (3 - 3 + 2*n)*(-5*n**2 + 3*n**2 - 9*n**2) + (2 - 1 + 0)*(-86*n**3 - 5*n**2 + 13303 - 13306 + 4*n**2). -108*n**3 - n**2 - 3 Expand (-6 - 2885*i + 2885*i + i**2)*(2*i + 3*i - 4*i + (i + 3*i - 5*i)*(0 - 1 + 0))*(-2 - 3 + 0). -10*i**3 + 60*i Expand ((-3 + 4 + 0)*(1112 - 1112 + 145*g) + 0 + 0 + 2*g)*(-8 + 2 + 2). -588*g Expand (8 - 2 + 10)*((d - d - 2*d)*(-5*d + 11 - 11) + 58*d**2 + 100 - 100)*(0*d + 4*d - 6*d). -2176*d**3 Expand (-2653*b + 730*b - 1218*b - 5552*b)*(-4 + 0 + 0). 34772*b Expand 3*h - 4*h + 0*h + (-1 + 6 - 3)*(5*h - 5*h - h) + 0 + 0 + 2*h - 5*h + 2*h + 7*h + (2*h - h - 2*h)*(2 - 13 + 2) - 41*h + 23*h + 17*h. 11*h Expand ((1 - 1 + 1)*(2*q - 4*q + q) - 1463 + 1463 - 80*q)*(q**2 - 5*q**2 + 5*q**2). -81*q**3 Expand -4*y**4 + 4*y**4 + 2*y**4 - 2*y**2 + 3*y**3 + (y - 11*y - 8*y)*(-46*y**3 + 2*y**3 - 20*y**3). 1154*y**4 + 3*y**3 - 2*y**2 Expand -7*j + 14*j + 14*j + (0 + 0 - 1)*(0*j + j - 2*j) - 4*j + 2*j + 4*j + 2*j - j + 0*j + (-8 + 1 - 2)*(-2*j + j - j). 43*j Expand (-133*m - 683*m - 30*m)*(-m - 4*m + 3*m) + 3*m**2 - 5*m**2 - 2*m + 3*m**2. 1693*m**2 - 2*m Expand (5*g + 4 - 4)*(-1 - 5 + 0)*(12*g + 5*g + 3*g)*(4 + 1 - 2). -1800*g**2 Expand (-y**2 - y**2 + 3*y**2)*(39*y**2 - 57*y**2 - 46*y**2 + (23*y + 239 - 239)*(0*y - 4*y + 3*y)) - y**4 + 0*y**3 + 0*y**3. -88*y**4 Expand (-201 - n + 126 - 125)*(0 + 0 - 4). 4*n + 800 Expand (177 - 73 - 54)*(-1 + 3*r - 2 + 4). 150*r + 50 Expand -10 + z**4 + 10 + (21*z - 9*z**2 - 21*z)*(z**2 + 2*z**2 + 40 - 38). -26*z**4 - 18*z**2 Expand (-11*t + 2*t + t)*(3361 - 727 - 671 - 1251)*(t**4 + 0*t + 0*t). -5696*t**5 Expand 2*p**3 - 3*p**3 - p**3 + (32*p**2 + 2*p**2 + 69*p**2)*(37 - 37 + 10*p). 1028*p**3 Expand (17*i**2 - 54*i**2 - 176*i**2)*(0*i**3 + 1 - 2*i**3 + 2). 426*i**5 - 639*i**2 Expand 5*n**3 + 0*n**3 - 2*n**3 - 558*n**3 + 1242*n**3 + 1235*n**3 + (-2 + 6 - 2)*(0*n**3 - n**3 + 0*n**3). 1920*n**3 Expand (-2*v + 0*v + v + (3 - 2*v - 3)*(0 - 4 + 2) + 6*v + 15*v - 6*v)*(-17*v**3 + 14*v**3 + 15*v**3) + 2*v**4 + 28*v - 28*v. 218*v**4 Expand (2 + 1 - 4)*(t + 0*t - 3*t) - 156*t + 976 - 973 - 31*t. -185*t + 3 Expand 1121*k - 8735 - 2400*k + 1278*k + (-6 + 2 + 2)*(-4*k + 0*k + 3*k) - 6 + 6 + k. 2*k - 8735 Expand (170 + 38*q**3 - 170)*(4 - q**2 - 4) - 5*q**5 + 3*q**5 - 4*q**5. -44*q**5 Expand -4*y**2 + 4*y**2 + 2*y**5 + (4 - 2 + 0)*(71*y - 6735 + 33*y**5 + 6733 - 5*y**5). 58*y**5 + 142*y - 4 Expand (3*y**4 + y**4 - y**4 + (3*y - 3*y - 3*y)*(-y**3 - 1 + 1))*(-3*y + 5*y - y) + 3 + 5*y**5 - 2 + 2*y**5. 13*y**5 + 1 Expand ((-12 - 9 + 31)*(-2*m + 0*m + 0*m) + 2*m + 17*m + 2703 - 2698)*(m - 2*m - 2*m). 3*m**2 - 15*m Expand 848*u**4 - 5*u + 8*u**2 + 785*u**4 - 5*u**3 - 1631*u**4 + (2*u - 2*u + u)*(3 + u**3 - 3) - 2*u**4 - u**4 + 6*u**4. 6*u**4 - 5*u**3 + 8*u**2 - 5*u Expand -4 + b + 4 + (0 - 2 + 3)*(-1 + 1 + b) + (6 - 6 + 5*b)*(2818 - 1009 - 16988). -75893*b Expand (2054 - 2054 - 11*z)*((0*z + 3*z + 0*z)*(0 + 0 + 1) - 113 + 113 + 19*z). -242*z**2 Expand (-2*f - f + 2*f)*(3558 - 701 - 1346 + 986 + 8754). -11251*f Expand (-17*i + 9*i**3 + 17*i)*(0*i + i - 2*i)*(-109 - 31 - 13). 1377*i**4 Expand (0 + 2*i + 0)*((5 - 25 - 10)*(0*i + 5*i - 3*i) + (2 - 1 - 4)*(0*i - 3*i + i)). -108*i**2 Expand (-330*n - 2842*n - 1428*n)*((0 + 4 - 6)*(2*n + 0 + 0) + 3*n - 3*n - n). 23000*n**2 Expand (-3*i + 3*i + 15*i)*(-1 - 1 - 2*i**3 + 3*i**3 + (-9*i**2 + 9*i**2 + 3*i**3)*(-15 + 7 - 5)). -570*i**4 - 30*i Expand (4*n**2 - 2*n**2 - 4*n**2)*(3 - 1 - 4 + (1 - 3 + 3)*(0 - 7 + 1) - 3 - 4 + 5 + 0 - 2 + 1 - 15 + 39 - 21). 16*n**2 Expand 734*z**4 - 1768*z**5 - 734*z**4 + z - 2*z**5 - z - 2*z**4 - 3*z**5 + 2*z**4 + 0*z**5 + 3*z**5 - 5*z**5 + (-4*z**4 + 2*z**4 + 0*z**4)*(-3 + z + 3). -1777*z**5 Expand (-25*n**5 + 292*n**2 - 292*n**2)*((0 + 2 + 0)*(-4 + 1 + 4) + 2 + 2 - 5). -25*n**5 Expand -4*z + 4*z - 2*z + (0*z + 4*z - 5*z)*(-1 + 1 - 1) - 868*z - 958*z + 124*z. -1703*z Expand (0 - 1 - 2)*(42*l + 6*l + 48*l) + 1 - 2*l - 1. -290*l Expand (164 + 172 + 25)*(3*y**3 + 0*y**4 + 2 - 2*y**3 - 2*y**4). -722*y**4 + 361*y**3 + 722 Expand (-2*o + 1 - 1)*(-1693 - 7485 + 1091). 16174*o Expand (48*d**3 - 12*d**4 - 48*d**3)*(-89*d + 37*d + 51*d - 8). 12*d**5 + 96*d**4 Expand (-169 - 170 - 42)*(8 + 23 + 17 + 4)*(5 - 3 - 1)*(0*w + 4*w - 5*w). 19812*w Expand (2 + 0 + 0)*(-6*g**4 + g**4 + 3*g**4) - 2*g**4 + 2*g**4 - g**4 + g**4 + 328218*g**3 - 328218*g**3 - 1482. -4*g**4 - 1482 Expand (22 - 21*p - 22)*(p - 4*p + 5*p)*(p**3 + 2*p**3 - p**3) + 156*p**5 - 135*p**5 - 127*p**5. -190*p**5 Expand (476354*b**4 + 6949*b**2 + 476362*b**4 - 952717*b**4)*(4 - 2 + 0). -2*b**4 + 13898*b**2 Expand (10*p + 3*p - 2*p)*(-355*p**4 - 25*p**4 + 16*p**2 - 16*p**2). -4180*p**5 Expand (3*i + 2*i**3 - 3*i)*(0*i - 8*i - 4*i - 5*i + i + 3*i + (-4 + 1 + 1)*(i + 0*i - 3*i) + 3 - 3 - 2*i)*(-2 - 1 - 2). 110*i**4 Expand (-3*h - 2*h + h)*(-1686 - 1531 - 1079 - 2527 - 3148 - 49). 40080*h Expand (2 - z**2 - 2)*(-108605*z + 33 - 42 - 32 + 27 + 12). 108605*z**3 + 2*z**2 Expand (-5 + 8 + 6)*((58*r + 78*r + 42*r)*(-4 - r**4 + 4) - 2*r**3 + 2*r**3 - r**5). -1611*r**5 Expand 0*l**2 + 0*l**2
{ "pile_set_name": "DM Mathematics" }
g 1 y and 2 v? 9/340 Two letters picked without replacement from {r: 5, u: 8}. What is prob of picking 1 u and 1 r? 20/39 Four letters picked without replacement from {o: 11, j: 3}. What is prob of picking 3 o and 1 j? 45/91 What is prob of picking 1 e and 3 t when four letters picked without replacement from eettteeeettt? 8/33 Two letters picked without replacement from {t: 5, a: 2, w: 6}. Give prob of picking 1 t and 1 a. 5/39 Three letters picked without replacement from {z: 2, j: 4, g: 3}. What is prob of picking 2 g and 1 z? 1/14 What is prob of picking 3 k and 1 g when four letters picked without replacement from {z: 1, m: 6, g: 3, k: 3, n: 1}? 3/1001 What is prob of picking 2 f when two letters picked without replacement from {w: 1, n: 1, f: 2, a: 1, o: 1, q: 1}? 1/21 Calculate prob of picking 2 m and 1 n when three letters picked without replacement from ttymygygmgtntttg. 1/560 Three letters picked without replacement from {d: 7}. What is prob of picking 3 d? 1 Two letters picked without replacement from {g: 6, p: 1, i: 1, q: 9}. What is prob of picking 1 g and 1 p? 3/68 Three letters picked without replacement from puhoohpooyooxhph. What is prob of picking 1 y, 1 h, and 1 p? 3/140 Two letters picked without replacement from {h: 4, l: 3, s: 3, a: 3, m: 1, k: 1}. Give prob of picking 2 l. 1/35 Two letters picked without replacement from oooibdobdii. What is prob of picking 1 i and 1 o? 12/55 What is prob of picking 2 a and 2 s when four letters picked without replacement from {s: 7, a: 6, l: 6}? 105/1292 Four letters picked without replacement from {n: 5, p: 15}. What is prob of picking 3 n and 1 p? 10/323 What is prob of picking 1 f and 2 n when three letters picked without replacement from nzlnfhc? 1/35 What is prob of picking 2 o, 1 p, and 1 v when four letters picked without replacement from ovoop? 3/5 Calculate prob of picking 1 y, 1 j, and 1 l when three letters picked without replacement from jlyylyyyyqlyjjyjlyly. 10/57 Four letters picked without replacement from {u: 1, b: 1, v: 2, s: 3}. Give prob of picking 2 v, 1 s, and 1 u. 3/35 Calculate prob of picking 2 o and 1 p when three letters picked without replacement from {p: 3, n: 5, o: 3}. 3/55 Three letters picked without replacement from psss. What is prob of picking 1 p and 2 s? 3/4 What is prob of picking 1 t and 1 o when two letters picked without replacement from {p: 2, j: 3, o: 4, d: 1, t: 1}? 4/55 Two letters picked without replacement from {w: 2, e: 1, m: 6, c: 4, y: 2}. What is prob of picking 2 m? 1/7 What is prob of picking 2 f when two letters picked without replacement from {f: 7, b: 3}? 7/15 Two letters picked without replacement from {v: 1, l: 2, c: 2, r: 4, n: 1, i: 2}. What is prob of picking 1 c and 1 l? 2/33 Calculate prob of picking 1 b and 2 u when three letters picked without replacement from buzfw. 0 Four letters picked without replacement from bbkkbbbbbbbkbbbbbb. Give prob of picking 2 b and 2 k. 7/68 Two letters picked without replacement from {d: 7, o: 3, x: 1, l: 1, r: 7}. Give prob of picking 2 d. 7/57 What is prob of picking 2 k and 1 r when three letters picked without replacement from rrrkrrrrkrrkrrkrrr? 7/68 Three letters picked without replacement from mjqmmqqkmjqbbm. Give prob of picking 2 b and 1 m. 5/364 Four letters picked without replacement from jjjjapjjjdaaa. Give prob of picking 3 p and 1 j. 0 What is prob of picking 3 u and 1 i when four letters picked without replacement from {u: 5, i: 2, j: 3, n: 5}? 4/273 Two letters picked without replacement from dyfbdlfffdbfbdldddff. What is prob of picking 1 f and 1 l? 7/95 Three letters picked without replacement from sososssioossissoso. What is prob of picking 1 o, 1 i, and 1 s? 5/34 Calculate prob of picking 2 k and 1 p when three letters picked without replacement from krkkmmkrrllkrkphr. 3/136 What is prob of picking 4 x when four letters picked without replacement from xxxxddxxdppdddx? 1/39 Three letters picked without replacement from ttttttttttuttttr. What is prob of picking 1 u and 2 t? 13/80 Three letters picked without replacement from {r: 3}. What is prob of picking 3 r? 1 Three letters picked without replacement from {r: 1, h: 1, d: 1, a: 6, w: 3, z: 1}. What is prob of picking 2 a and 1 w? 45/286 Calculate prob of picking 1 o and 3 b when four letters picked without replacement from {o: 3, a: 7, b: 5, h: 2}. 3/238 What is prob of picking 1 a and 1 o when two letters picked without replacement from {o: 1, l: 1, y: 1, j: 2, a: 5}? 1/9 Calculate prob of picking 1 k, 1 r, and 1 q when three letters picked without replacement from {r: 12, k: 1, q: 1, p: 1}. 12/455 Two letters picked without replacement from {b: 2, k: 4, h: 3}. What is prob of picking 1 k and 1 h? 1/3 Calculate prob of picking 1 k and 1 f when two letters picked without replacement from {d: 5, f: 3, k: 2}. 2/15 Two letters picked without replacement from dtdgkgkttgktdkgtdkgt. What is prob of picking 1 g and 1 d? 2/19 What is prob of picking 2 q and 1 d when three letters picked without replacement from eedjqqdooonodne? 3/455 Two letters picked without replacement from {x: 1, f: 1, y: 3, z: 6, v: 2}. Give prob of picking 1 z and 1 v. 2/13 Three letters picked without replacement from {y: 15, x: 4}. What is prob of picking 3 y? 455/969 Calculate prob of picking 1 w and 1 q when two letters picked without replacement from yywbbbyqqwyqybb. 2/35 What is prob of picking 1 a and 1 u when two letters picked without replacement from uakskuoa? 1/7 Calculate prob of picking 1 r and 2 k when three letters picked without replacement from rrkrrxkxr. 5/84 What is prob of picking 2 w and 2 k when four letters picked without replacement from {w: 6, k: 2, e: 3, a: 2, v: 5}? 1/204 Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, r: 15}. 2/57 Three letters picked without replacement from {k: 1, r: 3}. What is prob of picking 3 k? 0 Three letters picked without replacement from {i: 3, f: 1, z: 1, q: 2}. What is prob of picking 1 f and 2 i? 3/35 What is prob of picking 1 i and 1 g when two letters picked without replacement from pgdgpgpippgprigpppdr? 1/19 Calculate prob of picking 1 n and 1 p when two letters picked without replacement from peepfpnp. 1/7 Calculate prob of picking 3 s and 1 y when four letters picked without replacement from xsbxsxsmxbsxsys. 4/273 Calculate prob of picking 2 y when two letters picked without replacement from {y: 3, s: 12}. 1/35 Calculate prob of picking 3 i when three letters picked without replacement from iiiii. 1 Calculate prob of picking 1 s, 1 n, and 1 h when three letters picked without replacement from {d: 2, n: 2, s: 1, h: 1, w: 2}. 1/28 Three letters picked without replacement from ffssfsffsfssf. What is prob of picking 2 f and 1 s? 63/143 Four letters picked without replacement from bdddddbb. Give prob of picking 4 d. 1/14 Three letters picked without replacement from {g: 2, q: 1, r: 2, z: 1, j: 1, t: 2}. Give prob of picking 1 j, 1 g, and 1 q. 1/42 Four letters picked without replacement from kwwkkkwkwwww. Give prob of picking 3 k and 1 w. 14/99 What is prob of picking 4 e when four letters picked without replacement from rerelrerrrlrlrre? 1/1820 What is prob of picking 1 u and 1 q when two letters picked without replacement from {x: 2, u: 1, b: 3, o: 4, q: 1, t: 4}? 1/105 Calculate prob of picking 1 q and 2 i when three letters picked without replacement from lataltaqiqltlttatqiq. 1/285 Four letters picked without replacement from vvhvhvhhvvvhvv. What is prob of picking 2 h and 2 v? 360/1001 Four letters picked without replacement from {w: 2, g: 2, n: 1, s: 2, y: 1, c: 1}. What is prob of picking 1 g, 1 n, 1 s, and 1 c? 2/63 Calculate prob of picking 2 u, 1 f, and 1 r when four letters picked without replacement from fuuafruruv. 4/35 What is prob of picking 1 r and 1 o when two letters picked without replacement from {b: 2, e: 4, o: 3, r: 6, x: 2}? 9/68 Three letters picked without replacement from mkkzmmmjomzkmm. What is prob of picking 1 o, 1 k, and 1 m? 3/52 Three letters picked without replacement from oouxgttun. What is prob of picking 1 g, 1 x, and 1 u? 1/42 Four letters picked without replacement from {s: 9, o: 2}. Give prob of picking 4 s. 21/55 What
{ "pile_set_name": "DM Mathematics" }
t is the q'th term of 381, 700, 1151, 1758, 2545, 3536, 4755? 4*q**3 + 42*q**2 + 165*q + 170 What is the v'th term of -47965, -187250, -419395, -744400, -1162265, -1672990, -2276575? -46430*v**2 + 5*v - 1540 What is the i'th term of 868679, 1737325, 2605971? 868646*i + 33 What is the y'th term of 34905, 53063, 71221? 18158*y + 16747 What is the t'th term of -14778, -14770, -14654, -14376, -13882, -13118? 9*t**3 - 55*t - 14732 What is the w'th term of -160118, -160657, -161196, -161735? -539*w - 159579 What is the r'th term of 517366782, 517366775, 517366766, 517366755, 517366742, 517366727? -r**2 - 4*r + 517366787 What is the o'th term of -824, -6639, -22460, -53303, -104184? -836*o**3 + 13*o**2 - 2*o + 1 What is the h'th term of -28, -421, -914, -1507, -2200? -50*h**2 - 243*h + 265 What is the h'th term of 631, 728, 1007, 1564, 2495, 3896? 16*h**3 - 5*h**2 + 620 What is the i'th term of 17891, 17880, 17865, 17846, 17823? -2*i**2 - 5*i + 17898 What is the z'th term of -1889, 10796, 31935, 61528, 99575, 146076? 4227*z**2 + 4*z - 6120 What is the l'th term of -1181, -3508, -6989, -11636, -17461? -2*l**3 - 565*l**2 - 618*l + 4 What is the w'th term of -32213, -32787, -33743, -35075, -36777, -38843? w**3 - 197*w**2 + 10*w - 32027 What is the g'th term of 392, 11, -478, -1069, -1756? g**3 - 60*g**2 - 208*g + 659 What is the m'th term of -160598, -321096, -481594, -642092, -802590? -160498*m - 100 What is the o'th term of 4445, 8693, 15773, 25685, 38429, 54005, 72413? 1416*o**2 + 3029 What is the s'th term of 2001, 3968, 5927, 7878? -4*s**2 + 1979*s + 26 What is the d'th term of 180070556, 180070549, 180070538, 180070523, 180070504, 180070481? -2*d**2 - d + 180070559 What is the d'th term of 512243, 1024484, 1536725, 2048966? 512241*d + 2 What is the m'th term of 4092, 8325, 12572, 16839, 21132, 25457? m**3 + m**2 + 4223*m - 133 What is the r'th term of 43393, 86793, 130201, 173617, 217041, 260473, 303913? 4*r**2 + 43388*r + 1 What is the p'th term of 2406229, 2406164, 2406101, 2406040, 2405981, 2405924, 2405869? p**2 - 68*p + 2406296 What is the l'th term of 80292, 80139, 79986? -153*l + 80445 What is the s'th term of -253185973, -253185971, -253185967, -253185961, -253185953, -253185943? s**2 - s - 253185973 What is the r'th term of 16571355, 33142712, 49714069? 16571357*r - 2 What is the k'th term of 84873603, 84873602, 84873601, 84873600, 84873599? -k + 84873604 What is the b'th term of -333928, -667787, -1001646, -1335505? -333859*b - 69 What is the k'th term of 3734, 3580, 3200, 2480, 1306? -19*k**3 + k**2 - 24*k + 3776 What is the v'th term of -1525, -836, -147? 689*v - 2214 What is the d'th term of 3239, 6460, 9715, 13004? 17*d**2 + 3170*d + 52 What is the c'th term of 1491080, 1491060, 1491020, 1490954, 1490856, 1490720, 1490540, 1490310? -c**3 - 4*c**2 - c + 1491086 What is the f'th term of 186479, 186552, 186673, 186842? 24*f**2 + f + 186454 What is the z'th term of -208473, -208526, -208579? -53*z - 208420 What is the c'th term of 7237947, 7237948, 7237949? c + 7237946 What is the q'th term of -108652, -869209, -2933578, -6953665, -13581376, -23468617, -37267294, -55629313? -108651*q**3 - 1 What is the h'th term of 8896, 35236, 79040, 140308, 219040, 315236, 428896? 8732*h**2 + 144*h + 20 What is the i'th term of 481, 977, 1465, 1927, 2345, 2701? -3*i**3 + 14*i**2 + 475*i - 5 What is the m'th term of 1168, 2001, 2864, 3757, 4680, 5633, 6616? 15*m**2 + 788*m + 365 What is the j'th term of 583, 486, 389, 292? -97*j + 680 What is the g'th term of -7068328, -7068320, -7068302, -7068268, -7068212? g**3 - g**2 + 4*g - 7068332 What is the b'th term of -125583, -125539, -125481, -125409, -125323, -125223, -125109? 7*b**2 + 23*b - 125613 What is the u'th term of -903, -731, -429, 9, 589? u**3 + 59*u**2 - 12*u - 951 What is the l'th term of 7827, 31187, 70109, 124581, 194591, 280127, 381177? -2*l**3 + 7793*l**2 - 5*l + 41 What is the q'th term of -3319, -8522, -13725, -18928, -24131, -29334? -5203*q + 1884 What is the a'th term of -1539473263, -1539473262, -1539473261, -1539473260, -1539473259? a - 1539473264 What is the x'th term of -41, -323, -1049, -2441, -4721, -8111? -37*x**3 - 23*x + 19 What is the k'th term of 9048, 18164, 27282, 36402, 45524? k**2 + 9113*k - 66 What is the t'th term of 212247, 424401, 636541, 848661, 1060755, 1272817, 1484841, 1696821? -t**3 - t**2 + 212164*t + 85 What is the o'th term of -7968, -31796, -71476, -127008? -7926*o**2 - 50*o + 8 What is the n'th term of 57530, 57848, 58166, 58484? 318*n + 57212 What is the v'th term of -24289, -24246, -24189, -24118, -24033, -23934, -23821? 7*v**2 + 22*v - 24318 What is the c'th term of 20737247, 82948959, 186635145, 331795805, 518430939, 746540547, 1016124629? 20737237*c**2 + c + 9 What is the v'th term of 221824743, 221824741, 221824739, 221824737, 221824735, 221824733? -2*v + 221824745 What is the n'th term of 14083, 10261, -121, -20345, -53693? -547*n**3 + 2*n**2 + n + 14627 What is the c'th term of 31825130, 63650257, 95475384? 31825127*c + 3 What is the g'th term of 14221, 20345, 26469, 32593, 38717, 44841? 6124*g + 8097 What is the y'th term of -291, -424, -709, -1164, -1807? -3*y**3 - 58*y**2 + 62*y - 292 What is the c'th term of 3334, 6325, 9004, 11371, 13426, 15169, 16600? -156*c**2 + 3459*c + 31 What is the s'th term of 8300914, 16601830, 24902746, 33203662, 41504578? 8300916*s - 2 What is the o'th term of 308018, 308438, 308858, 309278, 309698, 310118? 420*o + 307598 What is the t'th term of 290813, 290817, 290795, 290741, 290649, 290513, 290327? -t**3 - 7*t**2 + 32*t + 290789 What is the y'th term of 110, -609, -2176, -4591? -424*y**2 + 553*y - 19 What is the h'th term of 105031, 209970, 314833, 419620, 524331, 628966, 733525? -38*h**2 + 105053*h + 16 What is the b'th term of -4633, -18940, -42785, -76168, -119089, -171548, -233545? -4769*b**2 + 136 What is the s'th term of 47, 246, 631, 1250, 2151? 8*s**3 + 45*s**2 + 8*s - 14 What is the p'th term of 43, 57, 79, 97, 99, 73, 7? -2*p**3 + 16*p**2 - 20*p + 49 What is the x'th term of -70613, -87399, -104185? -16786*x - 53827 What is the f'th term of -26586309, -26586309, -26586303, -26586291, -26586273? 3*f**2 - 9*f - 26586303 What is the f'th term of -3595, -4647, -5699, -6751, -7803? -1052*f - 2543 What is the i'th term of 1590, 2930, 4258, 5568, 6854, 8110, 9330? -i**3 + 1347*i + 244 What is the z'th term of -5852929, -5852797, -5852667, -5852539, -5852413, -5852289? -z**2 + 135*z - 5853063 What is the x'th term of -4843, -11335, -17803, -24235, -30619, -36943? 2*x**3 - 6506*x + 1661 What is the g'th term of -371466, -1485793, -3343004, -5943099, -9286078? -371442*g**2 - g - 23 What is the f'th term of -18731, -37434, -56151, -74882, -93627, -112386, -131159? -7*f**2 - 18682*f - 42 What is the n'th term of 34354, 77465, 120572, 163675, 206774, 249869? -2*n**2 + 43117*n - 8761 What is the d'th term of -2385, -2449, -2611, -2919, -3421, -4165, -5199? -8*d**3 - d**2 - 5*d - 2371 What is the i'th term of 143432, 573718, 1290864, 2294870, 3585736, 5163462, 7028048? 143430*i**2 - 4*i + 6 What is the t'th term of 644, 2495, 5638, 10145, 16088, 23539, 32570? 12*t**3 + 574*t**2 + 45*t + 13 What is the y'th term of 32321, 32081, 31843, 31607, 31373? y**2 - 243*y + 32563 What is the o'th term of 167449, 334817, 502185, 669553? 167368*o + 81 What is the s'th term of 800, 1568, 2270, 2870, 3332, 3620? -6*s**3 + 3*s**2 + 801*s + 2 What is the m'th term of -4183475, -4183346, -4183131, -4182830, -4182443? 43*m**2 - 4183518 What is the j'th term of -743, -334, 77, 490? j**2 + 406*j - 1150 What is the l'th term of -2312, -2312, -2394, -2558, -2804, -3132, -3542? -41*l**2 + 123*l - 2394 What is the o'th term of 4819112, 4819087, 4819050, 4818995, 4818916, 4818807, 4818662? -o**3 - 18*o + 4819131 What is the z'th term of -759, -782, -731, -600, -383? z**3 + 31*z**2 - 123*z - 668 What is the k'th term of -2476, -2361, -2292, -2293, -2388, -2601? -4*k**3 + k**2 + 140*k - 2613 What is the a'th term of 12403, 49535, 111419, 198055? 12376*a**2 + 4*a + 23 What is the i'th term of -1081826, -1081855, -1081880, -1081901, -1081918? 2*i**2 - 35*i - 1081793 What is the g'th term of 68925, 68857, 68789, 68721, 68653, 68585? -68*g + 68993
{ "pile_set_name": "DM Mathematics" }
Give o(6). 722 Let r(s) = s**3 - 2*s**2 + 62*s - 376. What is r(5)? 9 Let k(a) = a**3 - 202*a**2 + 930*a - 66270. Calculate k(199). -3 Let x(q) = -238*q + 11551. Calculate x(49). -111 Let c(k) = -21*k**2 - 365*k - 226. Calculate c(-16). 238 Let i(j) = 681*j + 2892. What is i(-7)? -1875 Let l(k) = 792*k**3 - 12*k**2 + 6*k + 2. Calculate l(-1). -808 Let q(u) = -632*u - 20006. Calculate q(-30). -1046 Let x(m) = -10713*m - 25. Calculate x(0). -25 Let j(h) = -39221*h + 666752. Give j(17). -5 Let l(o) = 2821*o + 19504. What is l(-7)? -243 Let h(a) = -18035*a + 17714. Calculate h(1). -321 Let p(j) = -j**3 - 61*j**2 + 239*j - 1264. What is p(-65)? 101 Let s(v) = -v**3 - 61*v**2 + 81*v + 1572. Give s(-62). 394 Let r(q) = -72*q + 5264. Calculate r(58). 1088 Let c(h) = -h**3 - 38*h**2 - 142*h - 1345. Give c(-32). -2945 Let n(w) = -2*w**3 - 451*w**2 - 10891*w - 303. What is n(-198)? -105 Let s(m) = m**3 - 97*m**2 + 560*m - 1268. Give s(91). 6 Let v(i) = -116*i + 21105. Calculate v(182). -7 Let l(w) = 4*w**2 + 534*w + 2609. What is l(-5)? 39 Let c(g) = -1170*g**2 + 8195*g + 41. Determine c(7). 76 Let y(b) = 945*b**2 + 11353*b + 5. Determine y(-12). -151 Let b(o) = 76662*o - 2223188. Give b(29). 10 Let y(z) = -2*z**3 - 250*z**2 - 2005*z + 744. Calculate y(-9). -3 Let j(y) = -68*y**3 + 2*y**2 + 278*y - 559. Calculate j(2). -539 Let l(r) = -17*r**3 - 8*r**2 - 146*r - 303. Give l(-2). 93 Let g(i) = 6*i**2 + 477*i - 11578. Calculate g(-99). 5 Let w(a) = -a**2 - 4116*a - 2450468. Give w(-722). 0 Let s(q) = -25721*q + 4346848. Give s(169). -1 Let y(v) = -15*v**2 - 2117*v - 278. What is y(-141)? 4 Let a(n) = -2*n**3 - 2285*n**2 - 286725*n - 11979. Calculate a(-999). 9 Let c(b) = -96*b**2 + 696*b - 5. Determine c(5). 1075 Let u(b) = -194*b - 3585. Calculate u(-9). -1839 Let m(y) = 64883*y - 1686935. Calculate m(26). 23 Let f(k) = k**3 - 44*k**2 + 14*k + 258. Determine f(43). -989 Let x(p) = 58011*p - 115993. Determine x(2). 29 Let n(o) = 128*o**2 - 3516*o - 1914. Calculate n(28). -10 Let t(w) = w**3 - 149*w**2 + 956*w + 5529. Calculate t(142). 133 Let s(j) = -j**3 + 101*j**2 - 690*j + 349. Determine s(7). 125 Let q(d) = d**2 + 2204*d + 478501. Calculate q(-244). 261 Let o(v) = -13*v**3 + 782*v**2 - 842*v + 43332. What is o(60)? 12 Let n(p) = -16*p**3 + 3*p**2 - 171*p + 530. What is n(3)? -388 Let k(v) = -v**3 - 177*v**2 + 913*v - 250. Determine k(-182). -796 Let c(w) = 18*w**3 + 24*w**2 - 46*w + 15. Give c(2). 163 Let f(a) = -a**2 + 1211*a - 10832. Give f(9). -14 Let n(k) = 15233*k + 959631. What is n(-63)? -48 Let i(n) = -702*n + 8400. Calculate i(10). 1380 Let f(n) = 1818*n + 110049. Calculate f(-62). -2667 Let u(a) = -71963*a + 31519802. Determine u(438). 8 Let z(n) = -3*n**3 - 772*n**2 - 253*n + 1035. Determine z(-257). 7 Let y(c) = -3827*c - 26759. Calculate y(-7). 30 Let z(p) = 2*p**2 - 3012*p - 24229. What is z(-8)? -5 Let r(b) = b**3 - 321*b**2 + 2294*b - 528270. Calculate r(319). -6 Let w(i) = -14458*i + 188088. Give w(13). 134 Let k(w) = 29328*w + 850257. Determine k(-29). -255 Let v(y) = 2*y**3 - 1914*y**2 + 200879*y + 798. What is v(837)? -39 Let z(d) = -2*d**2 + 2024*d - 5. Determine z(0). -5 Let x(o) = -1203*o + 20357. What is x(17)? -94 Let k(g) = -26*g**3 - 3*g**2 + 212*g - 417. Determine k(2). -213 Let h(m) = -6964*m + 153214. Determine h(22). 6 Let u(d) = 2*d**2 + 69*d + 1365. Give u(-25). 890 Let i(b) = -b**3 + 33*b**2 - 2440*b + 80537. Give i(33). 17 Let p(i) = -2*i**2 - 81*i - 820. Determine p(-30). -190 Let q(y) = -149*y**2 + 1785*y - 3997. Calculate q(3). 17 Let o(w) = w**3 - 199*w**2 - 991*w - 48975. Determine o(205). 20 Let j(p) = 3239*p + 204032. Calculate j(-63). -25 Let r(d) = -d**3 - 23*d**2 + 60*d + 2613. What is r(-14)? 9 Let h(z) = 15*z**2 - 5528*z - 5560. Calculate h(-1). -17 Let n(o) = 7*o**3 - 98*o**2 - 168*o - 893. Give n(16). 3 Let k(a) = 261*a + 32241. Calculate k(-123). 138 Let a(j) = -661*j + 16493. What is a(25)? -32 Let b(a) = -482*a - 10572. What is b(-22)? 32 Let a(f) = 2*f**3 - 24*f**2 - 26*f - 86. Calculate a(14). 334 Let j(z) = -10*z**2 + 198*z + 99. What is j(20)? 59 Let q(n) = 78*n**3 + 309*n**2 - 16*n - 23. Determine q(-4). -7 Let x(m) = 18922*m - 5373841. What is x(284)? 7 Let k(x) = -275*x**2 + 808*x - 8. What is k(3)? -59 Let f(s) = -s**2 + 167*s - 6545. Determine f(63). 7 Let w(s) = 1426*s + 190957. Give w(-134). -127 Let n(g) = -5884149*g - 23536593. Give n(-4). 3 Let p(c) = -97*c**3 + 6*c**2 - 22*c - 44. Calculate p(-2). 800 Let g(h) = 35*h + 7472. Give g(-216). -88 Let o(a) = 10*a**2 - 4019*a - 71184. Calculate o(-17). 29 Let c(v) = 2*v**3 + 661*v**2 + 682*v + 116158. What is c(-330)? -2 Let r(i) = -2*i**2 - 153*i + 65. Calculate r(-82). -837 Let q(f) = -f**3 - 69*f**2 - 820*f - 45966. What is q(-67)? -4 Let v(b) = b**3 - 247*b**2 - 12799*b - 1469. Determine v(291). -14 Let s(g) = 825*g**3 + 13201*g**2 - g - 271. Determine s(-16). 1 Let c(y) = 7*y**3 - 124*y**2 + 103*y - 365. Give c(17). -59 Let w(t) = -24*t + 185. What is w(2)? 137 Let k(g) = -65946*g + 461456. Calculate k(7). -166 Let p(n) = -n**3 - 127*n**2 - 2341*n - 3289. Give p(-105). -34 Let j(p) = 4*p**2 + 279*p - 148. Give j(-74). 1110 Let j(w) = 672*w**2 + 8069*w - 63. Calculate j(-12). -123 Let d(o) = -114*o**2 + 39444*o - 96. Calculate d(346). -96 Let l(i) = 3*i**3 + 893*i**2 + 559*i - 10432. Calculate l(-297). -37 Let j(l) = -444*l**3 - 4002*l**2 - 31*l + 161. Give j(-9). -46 Let d(z) = -4*z**3 + 65*z**2 - 24*z + 42. What is d(16)? -86 Let u(m) = -m**3 + 42*m**2 - 312*m - 75. Determine u(10). 5 Let v(l) = 45*l**2 + 123*l - 819. Determine v(-9). 1719 Let n(p) = 229383*p - 3211348. Determine n(14). 14 Let z(k) = k**3 - 50*k**2 - 125*k - 1467. Determine z(53). 335 Let b(h) = 2089*h + 6353. Calculate b(-3). 86 Let h(v) = 3*v**3 - 659*v**2 - 4099*v + 26. Calculate h(-6). 248 Let y(i) = i**3 - 13*i**2 - 74*i + 982. Calculate y(14). 142 Let i(k) = 29306*k - 556777. Calculate i(19). 37 Let q(b) = b**3 + 243*b**2 - 469*b + 5051. Determine q(-245). -94 Let v(b) = b**2 - 10011*b - 261118. Calculate v(-26). -156 Let i(t) = 11849*t - 236958. Determine i(20). 22 Let p(d) = 4*d**3 + 79*d**2 + 1962*d + 36204. Give p(-19). 9 Let v(g) = -3*g**3 + 16*g**2 - 9*g - 53. Determine v(7). -361 Let w(t) = 80*t**3 + 4637*t**2 - 167*t + 426. Determine w(-58). 20 Let i(p) = -17*p**2 - 569*p - 4773. Determine i(-17). -13 Let f(o) = 92*o**3 - 262*o**2 + 49*o - 25. Determine f(4). 1867 Let f(w) = -46759*w - 327302. Determine f(-7). 11 Let b(t) = -58*t**2 + 142*t - 231. Determine b(4). -591 Let r(l) = l**3 - 56*l**2 + 696*l - 36. Give r(20). -516 Let z(c) = -c**2 - 490*c - 16770. Calculate z(-37). -9 Let b(l) = 86448*l - 5359767. What is b(62)? 9 Let x(q) = -2*q**3 - 12*q**2 - 638*q - 1867. Determine x(-3). -7 Let a(n) = 2*n**3 + 151*n**2 + 380*n + 1103. What is a(-73)? 8 Let f(y) = 6*y**2 + 116*y + 18. Calculate f(0). 18 Let l(b) = 8509*b - 17426431. What is l(2048)? 1 Let m(w) = -796757*w + 796752. Determine m(1). -5 Let w(m) = 27*m + 2382. Determine w(-77). 303 Let g(m) = -4*m**2 - 128565*m - 771241. What is g(-6)? 5 Let k(p) = 8784*p + 2336565. Determine k(-266). 21 Let s(j) = -3*j**2 - 473*j - 16778. Determine s(-93). 1264 Let w(j) = -3*j**3 - 298*j**2 - 1231*j + 399. Determine w(-95). 19 Let n(p) = -426305*p - 6394541. What is n(-15)? 34 Let v(i) = 10*i**2 + 875*i + 862. What is v(-1)? -3 Let f(c) = -2*c**3 - 18*c**2 - 80*c - 481. Give f(-5). -281 Let o(u) = 79*u**2 + 2746*u - 5578. Determine o(2). 230 Let i(k) = k**2 - 497*k + 40217. Determine i(102). -73 Let y(j) = 5688*j + 4749486. What is y(-835)? 6 Let c(v) = 2*v**2 - 2144*v + 163985. Give c(83). -189 Let x(s) = 601*s + 32434. Determine x(-54). -20 Let b(u) = -13*u**3 - 220*u**2 + 4674*u + 79200. What is b(-17)? 31 Let t(l) = 2*l**3 - 65*l**2 - 256*l + 77. What is t(36)? -67 Let j(a) = 106077*a - 424285. Determine j(4). 23 Let a(o) = 8*o**3 + 1452*o**2 - 724*o + 742. Give a(-182). 14 Let p(y) = 9*y**3 - 916*y**2 - 2805*y + 11. Determine p(-3). -61 Let h(v) = -v**2 - v + 426. Calculate h(22). -80 Let f(u) = 4*u**3 + 68*u**2 + 33*u + 592. What is f(-16)? 1088 Let m(d) = 1774252*d + 7096953. Calculate m(-4). -55 Let p(k) = k**2 - 125*k + 1389. Calculate p(37). -1867 Let p(r) = -r**3 + 11*r**2 + 626*r - 6278. What is
{ "pile_set_name": "DM Mathematics" }
= -1. Let n(z) be the first derivative of -z**2 + 9*z - 12. Calculate n(t) + 6*y(t). -2*t + 3 Let w(o) = -o**3 - 24*o**2 - 2*o - 2. Let v(u) = 5*u**3 + 120*u**2 + 11*u + 11. Determine -4*v(z) - 22*w(z). 2*z**3 + 48*z**2 Let u(y) = -y - 1. Let k(f) be the first derivative of -3*f**2 - 5*f - 12. Let b be 0/(3 - 2) + 2. Calculate b*k(g) - 11*u(g). -g + 1 Let l(k) = -3*k**2 + 6*k + 2. Let c(d) = d. Determine -5*c(x) + l(x). -3*x**2 + x + 2 Suppose 1 = 3*w - 4*z - 0*z, 0 = w + 2*z - 7. Let d(o) = o**3 + 3*o**2 - 4*o + 4. Let s(v) = -v**3 - 2*v**2 + 3*v - 3. Give w*d(k) + 4*s(k). -k**3 + k**2 Let n(x) = -x**2 + 3*x**2 - 10*x - x**2 - 7. Let r(f) = -8*f + 3. Let v(o) = -9*o + 4. Let m(d) = -6*r(d) + 5*v(d). What is 7*m(c) + 2*n(c)? 2*c**2 + c Let b(m) = m**2 + 1. Suppose -i - 4*o + 2 = 0, -3*o + 1 = i + 2*o. Let r(y) = -2*y**2 - 6. Give i*b(c) + r(c). 4*c**2 Let n = -16 + 18. Let l(o) = -2 + 0*o**2 - 1 + 3*o**2. Let i(m) = -4*m**2 + 4 + m + m - m. Determine n*i(c) + 3*l(c). c**2 + 2*c - 1 Let a(h) = -5*h**3 - 4*h**2 - 3*h - 3. Let s(c) = -5*c**3 - 3*c**2 - 2*c - 2. Give -4*a(w) + 6*s(w). -10*w**3 - 2*w**2 Suppose -g = 4*g - 20. Let a be 6/g + (-44)/8. Let j(m) = -m - 2. Let s(n) = -1. Determine a*s(f) + j(f). -f + 2 Suppose -5*s - 11*c + 9*c + 11 = 0, 3*c + 3 = -s. Let q(j) = 4*j**2 + 3*j - 3. Let u(n) = -9*n**2 - 6*n + 7. Calculate s*u(r) + 7*q(r). r**2 + 3*r Let m(o) = o. Let f(n) = -3*n**2 + 4*n + 2. Give f(i) - 3*m(i). -3*i**2 + i + 2 Let w = -43 - -31. Let n(v) = v**2 + 13*v + 18. Let g be n(w). Let t(q) = 7*q + 6. Let p(s) = s + 1. Give g*p(m) - t(m). -m Let s(l) = -6*l**3 - 4*l - 6. Let w(z) = 1 + 2*z**3 + z - 3*z**3 + 2*z**3. Calculate -s(u) - 4*w(u). 2*u**3 + 2 Let j(i) be the third derivative of i**6/720 - i**4/6 - 3*i**2. Let m(x) be the second derivative of j(x). Let k(l) = l + 1. What is -k(q) + 2*m(q)? q - 1 Let b(l) = 2. Let w(v) = -v - 2. What is 4*b(h) + 3*w(h)? -3*h + 2 Let q(m) = -7*m**2 - 2*m. Suppose -3*z = 6 - 21. Let c(g) = -10*g**2 - 3*g. Give z*c(n) - 7*q(n). -n**2 - n Let h(x) = x + 1. Let f(z) = 4*z + 4. Determine f(a) - 3*h(a). a + 1 Let x(j) = 3*j + 4. Let a(n) = 10*n + 13. Let k(h) = 4*a(h) - 14*x(h). Let u = 6 + -1. Suppose -u*o - 12 = -2*o. Let y(t) = -t - 2. What is o*k(r) + 7*y(r)? r + 2 Let y(t) be the third derivative of 1/60*t**5 + t**2 + 0*t**3 + 0*t + 1/24*t**4 + 0. Let k(l) = -10*l**2 - 8*l - 2. Let g = -157 + 149. Calculate g*y(z) - k(z). 2*z**2 + 2 Let j(k) = -6*k**3 - 36*k - 6. Let s(o) = -o**3 - 7*o - 1. Determine -2*j(g) + 11*s(g). g**3 - 5*g + 1 Let d(a) = -24*a**2 - 5*a. Let v(z) = 36*z**2 + 7*z. Determine 7*d(r) + 5*v(r). 12*r**2 Let b(l) = l**2 - l + 1. Let o(k) = -4*k**2 + 3*k + 15. What is 2*b(c) + o(c)? -2*c**2 + c + 17 Let j(t) = t**3 + 5*t**2 - 5*t - 2. Let o(h) = -h**2 + h. Let f = 5 + 0. Suppose 0 = -4*i + f - 25. Give i*o(a) - j(a). -a**3 + 2 Let q = -21 - -31. Let r(i) = 2*i + 3. Let t(m) = 6*m + 10. Determine q*r(y) - 3*t(y). 2*y Let c(n) = 6*n + 4. Let z(u) = -7*u - 5. Let x(s) = 15*s + 11. Let j(m) = 2*x(m) + 5*z(m). Give 4*c(v) + 5*j(v). -v + 1 Suppose 0 = -4*u + u + 3. Let o be u*1/1 + 1. Let t(z) = -16*z**o - 3 - 1 - 4*z + 8. Let m(g) = 5*g**2 + g - 1. Determine 10*m(k) + 3*t(k). 2*k**2 - 2*k + 2 Let q(m) = m + 1. Let k(z) = -3*z**3 + z**2 - z. Let x be k(1). Let w(o) = -1. Determine x*w(n) - q(n). -n + 2 Let x(m) = -2*m - 2. Let s(c) = 1. Let a be (-32)/(-3)*6/4. Suppose -4*l = -0*l + a. Determine l*s(o) - x(o). 2*o - 2 Let k(n) = n - 1. Let z(j) = 2. Calculate 3*k(r) + z(r). 3*r - 1 Let g(m) = 3*m**3 - m**2 - 5*m. Let l(q) = q**2 + 7*q - 5. Let z be l(-7). Let d(j) = -j**3 + j. Calculate z*d(y) - g(y). 2*y**3 + y**2 Let q(x) = x**3 - 1. Suppose -2*z - 4*c = 16, -c + 0 + 2 = -z. Let b(t) = 6*t**3 - 3 - 3*t + 3*t. Determine z*q(m) + b(m). 2*m**3 + 1 Let q(z) = -36*z + 5. Let l(t) = -35*t + 4. What is -7*l(h) + 6*q(h)? 29*h + 2 Let d(y) = 7*y**3 + 5*y**2 + 5*y - 7. Let p(t) = 4*t**3 + 3*t**2 + 3*t - 4. Let u(g) = 5*g + 53. Let b be u(-10). What is b*d(f) - 5*p(f)? f**3 - 1 Let b(l) = l**2 + l. Let a(p) be the second derivative of p**3 + 5/6*p**4 + 0 + p - p**2. Determine a(u) - 8*b(u). 2*u**2 - 2*u - 2 Let q(f) = 205*f + f**2 + 4*f**2 + 3 - 202*f. Let h(j) = -3*j**2 - 2*j - 2. What is -8*h(m) - 5*q(m)? -m**2 + m + 1 Let v(a) be the second derivative of -a**3/6 - a**2/2 - 4*a. Let o(q) = 6*q + 3. Let g(i) = o(i) + 4*v(i). Let u(w) = -w**2 + w - 1. Calculate 2*g(n) - 2*u(n). 2*n**2 + 2*n Let p(y) = 11*y + 14. Let b(m) = -16*m - 21. Let d(l) = 5*b(l) + 8*p(l). Let a(g) = -23*g - 20. Calculate 6*a(r) + 17*d(r). -2*r - 1 Let d(i) = 3*i**3 + 7*i + 1. Let o(q) = q**3 + 3*q. Give 3*d(p) - 7*o(p). 2*p**3 + 3 Let c be 11/(-2)*(-9)/(27/6). Let p(t) = t**2 - 3*t - 1. Let f(y) = 5*y**2 - 15*y - 5. Determine c*p(j) - 2*f(j). j**2 - 3*j - 1 Let h(p) = -5*p + 3. Suppose -3*u + 3*w = 12, 6 = -5*w + 1. Let r(m) = 7*m - 6. Let f(s) = 20*s - 17. Let d(g) = 4*f(g) - 11*r(g). Determine u*h(o) - 8*d(o). o + 1 Let c(l) be the first derivative of l**3/3 + l - 10. Let a(s) = s - 10 + 0*s - 2*s**3 - 6*s**2 + 4. Suppose -3*g - 3 + 0 = 0. Give g*a(o) - 6*c(o). 2*o**3 - o Let t(y) = y**3 - y**2 + 1. Let o(p) = 2*p - 1 + 7 - 2*p - 6*p**2 + 3*p**3. Determine o(z) - 6*t(z). -3*z**3 Let i be 6*-1 + 0/(-2). Let d(q) = 10*q**2 + 6. Let m(c) = 9*c**2 + 6. Let l(g) = -2*d(g) + 3*m(g). Let z(y) = -y**2 - 1. What is i*z(o) - l(o)? -o**2 Let c(z) = 8*z + 3. Let o(l) = 5*l - 1. Let m be o(1). Let w(d) = 4 + 3*d - m + 1. Calculate -4*c(i) + 11*w(i). i - 1 Let c(w) = w**3 + 24*w**2 - 24*w + 17. Let d be c(-25). Let q(j) = j**2 + 3*j + 5. Let m(v) = v**2 + 2*v + 3. Determine d*m(f) + 5*q(f). -3*f**2 - f + 1 Let n(u) = u - u - 3 - 1 + 7*u. Let l(k) = -6*k + 3. Determine -5*l(v) - 4*n(v). 2*v + 1 Let d(y) = 8 - 6*y**2 - 5 + y**2 - 2*y**2. Let g(b) = -b**2 + 1. What is d(j) - 6*g(j)? -j**2 - 3 Let h(r) be the second derivative of -r**2/2 - r. Let q(d) = 7*d**3 + d**2 + 2*d + 2. Let y be q(-1). Let z(u) = -2*u + 7. What is y*h(f) - z(f)? 2*f - 1 Let i(p) = 3*p + 6. Let q be i(-4). Let y(o) = -8 - 6*o - 337*o**3 + 666*o**3 - 336*o**3. Let s(l) = 15*l**3 + 13*l + 17. What is q*s(r) - 13*y(r)? r**3 + 2 Let v(o) = -2 - 3*o + 0 - 1 + o**2. Let x(z) be the second derivative of -z**4/3 + 7*z**3/3 + 7*z**2 + 4*z. Determine 14*v(b) + 3*x(b). 2*b**2 Let l be (2/(-4))/(5/(-30)). Let v(u) = -5*u**3 + 5*u**2 + 3. Let t(g) = 4*g**3 - 4*g**2 - g - 2. Determine l*t(i) + 2*v(i). 2*i**3 - 2*i**2 - 3*i Let v(h) = -40*h. Let i(r) = -r. Determine -25*i(y) + v(y). -15*y Let q(u) = 5*u**3 + 6*u**2 + 6. Let p be 16*-1 + (-3)/(-1). Let j(r) be the first derivative of -11*r**4/4 - 13*r**3/3 - 13*r + 1. Determine p*q(f) - 6*j(f). f**3 Let v(x) = 4 - 2*x + 2 - 5*x**2 + x. Let b = -33 + 39. Let l(t) = 4*t**2 + t - 5. Give b*v(k) + 7*l(k). -2*k**2 + k + 1 Let s(q) = q + 1. Let g = 46 + -47. Let y(d) = 1. Let a(z) = -5*z - 1. Let j(n) = -a(n) + 5*y(n). Determine g*j(u) + 4*s(u). -u - 2 Suppose -1 - 3 = -4*l. Let a(x) = -x + 1. Let d(m) be the first derivative of m - 3. Let u(n) = -7. Let j(r) = 6*d(r) + u(r). What is l*a(s) + 3*j(s)? -s - 2 Let x(d) = 0*d**2 - d**2 + 7*d - 136 + 128. Let u(i) = -i + 1. Suppose 0 = -4*v - a + 1, -5*v - a + 2 = -0. Suppose -r + v = 2. Determine r*x(n) - 6*u(n). n**2 - n + 2 Let c(x) = x + 4. Let a(w) = -1. Give a(b) - c(b). -b - 5 Let u(l) = 17*l + 1. Let m(i) = -i - 1. Calculate 2*m(r) + u(r). 15*r - 1 Let i(h) = -5*h + 2. Let m(z) = 14*z - 6. Suppose c - 3*c = -4, -41 = 3*x - 4*c. What is x*i(r) - 4*m(r)? -r + 2 Let s(w) = 1. Let x(v) = 2*v**2 - 4. Suppose -4*g - 2*f + 6 - 28 = 0, -g = -4*f + 1. Determine g*s(u) - x(u). -2*u**2 - 1 Let t(h) = 11*h**2 - 5*h. Let g(c) be the second derivative of c**4/2 - c**3/2 + 17*c. Give 5*g(x) - 3*t(x). -3*x**2 Let p(k) = -2*k**2 + k**2 + 2*k**2 - k + 1. Let b(d) = -2*d**2 - 5*d + 8. Let q(x) = 5*x**2 + 15*x - 23. Let t(c) = -11*b(c) - 4*q(c). Calculate -4*p(s) + t(s). -2*s**2 - s Let k(j) = -2*j + 1. Let v(i) = -3*i + 1. Give -5*k(o) + 4*v(o). -2*o - 1 Let v(t) = 3*t**3 + 7*t**2. Let m(z) = 2*z**3 - 2*z**3 + 5*z**2 - 3*z**2 + z**3. Calculate -7*m(f) + 2*v(f). -f**3 Let u(d) = -1. Let f(m) = -m**2 - 5*m - 3. Let a be f(-4). Let t(x) = 0*x - 5*x + 4*x - a. Determine -2*t(i) + 3*u(i). 2*i - 1 Le
{ "pile_set_name": "DM Mathematics" }
he h'th term of -27553, -107532, -240831, -427450, -667389, -960648, -1307227? -26660*h**2 + h - 894 What is the v'th term of -1018610, -1018799, -1019102, -1019513, -1020026, -1020635, -1021334, -1022117? v**3 - 63*v**2 - 7*v - 1018541 What is the p'th term of -162985, -325977, -488969, -651961? -162992*p + 7 What is the g'th term of -47139688, -94279380, -141419072, -188558764? -47139692*g + 4 What is the y'th term of -35462, -70957, -106452? -35495*y + 33 What is the h'th term of -20751708, -20751714, -20751720, -20751726, -20751732? -6*h - 20751702 What is the f'th term of -375454, -375152, -374850, -374548? 302*f - 375756 What is the n'th term of -6804502, -6804516, -6804540, -6804580, -6804642, -6804732? -n**3 + n**2 - 10*n - 6804492 What is the g'th term of -56794, -56483, -56172, -55861, -55550? 311*g - 57105 What is the v'th term of -69984, -139876, -209772, -279672, -349576? -2*v**2 - 69886*v - 96 What is the w'th term of 944, -1863, -4638, -7375, -10068, -12711, -15298? w**3 + 10*w**2 - 2844*w + 3777 What is the s'th term of 107219, 214415, 321611, 428807? 107196*s + 23 What is the b'th term of 25362214, 50724437, 76086662, 101448889, 126811118? b**2 + 25362220*b - 7 What is the z'th term of -16129151, -32258307, -48387463, -64516619? -16129156*z + 5 What is the d'th term of 2454559, 4909125, 7363691, 9818257? 2454566*d - 7 What is the a'th term of -10284, 42919, 131598, 255759, 415408? a**3 + 17732*a**2 - 28017 What is the d'th term of 1330794, 2661595, 3992396? 1330801*d - 7 What is the w'th term of -910133, -910078, -910023, -909968, -909913? 55*w - 910188 What is the u'th term of -7610401, -15220803, -22831205, -30441607, -38052009? -7610402*u + 1 What is the c'th term of -167, -1011, -2545, -4769, -7683, -11287, -15581? -345*c**2 + 191*c - 13 What is the u'th term of 571, 1987, 4205, 7225? 401*u**2 + 213*u - 43 What is the n'th term of -59033, -59007, -58981, -58955? 26*n - 59059 What is the x'th term of -1006, -5770, -10534, -15298, -20062, -24826? -4764*x + 3758 What is the r'th term of -25209, -100849, -226915, -403407, -630325, -907669? -25213*r**2 - r + 5 What is the q'th term of -11807878, -11807871, -11807864? 7*q - 11807885 What is the z'th term of 222492, 444827, 667162? 222335*z + 157 What is the j'th term of 841239, 840872, 840507, 840144, 839783, 839424? j**2 - 370*j + 841608 What is the s'th term of -7904, -10122, -12340, -14558? -2218*s - 5686 What is the j'th term of -765468, -765463, -765456, -765447? j**2 + 2*j - 765471 What is the s'th term of 11103, 12295, 14281, 17061? 397*s**2 + s + 10705 What is the i'th term of -67132, -268489, -604086, -1073923, -1678000, -2416317, -3288874? -67120*i**2 + 3*i - 15 What is the j'th term of 9118388, 9118385, 9118382, 9118379? -3*j + 9118391 What is the a'th term of -61991289, -123982581, -185973877, -247965177? -2*a**2 - 61991286*a - 1 What is the y'th term of 110683, 221338, 331989, 442636, 553279, 663918, 774553? -2*y**2 + 110661*y + 24 What is the j'th term of 562301, 562388, 562497, 562640, 562829? 2*j**3 - j**2 + 76*j + 562224 What is the a'th term of 4200536, 4200532, 4200526, 4200518? -a**2 - a + 4200538 What is the h'th term of -17035, -67876, -152619, -271270, -423835? -h**3 - 16945*h**2 + h - 90 What is the a'th term of 23558456, 23558458, 23558462, 23558468, 23558476? a**2 - a + 23558456 What is the q'th term of -9629, -14899, -20169, -25439, -30709? -5270*q - 4359 What is the l'th term of 159676, 319406, 479140, 638878, 798620, 958366, 1118116? 2*l**2 + 159724*l - 50 What is the t'th term of -1687, -2995, -3899, -4393, -4471, -4127, -3355, -2149? t**3 + 196*t**2 - 1903*t + 19 What is the t'th term of -25, -302, -721, -1264, -1913, -2650? 3*t**3 - 89*t**2 - 31*t + 92 What is the b'th term of -48386, -49156, -49948, -50774, -51646, -52576? -2*b**3 + b**2 - 759*b - 47626 What is the m'th term of -84988, -170213, -255438, -340663, -425888, -511113? -85225*m + 237 What is the h'th term of 2066157061, 2066157060, 2066157059, 2066157058? -h + 2066157062 What is the t'th term of 193751, 387448, 581145, 774842, 968539? 193697*t + 54 What is the h'th term of -349, -2292, -7593, -17932, -34989? -280*h**3 + h**2 + 14*h - 84 What is the l'th term of -4559574, -4559580, -4559586, -4559592, -4559598, -4559604? -6*l - 4559568 What is the y'th term of 338415, 676799, 1015183, 1353567, 1691951? 338384*y + 31 What is the j'th term of -7068427, -7068430, -7068433, -7068436? -3*j - 7068424 What is the x'th term of 39655709, 39655670, 39655631? -39*x + 39655748 What is the b'th term of -850623, -850526, -850429? 97*b - 850720 What is the z'th term of 4876, 9395, 13584, 17443, 20972, 24171? -165*z**2 + 5014*z + 27 What is the z'th term of -1478119, -1478168, -1478217, -1478266, -1478315, -1478364? -49*z - 1478070 What is the t'th term of -29332, -114774, -257178, -456544? -28481*t**2 + t - 852 What is the h'th term of -10715, -86562, -292439, -693362, -1354347, -2340410, -3716567? -10836*h**3 + h**2 + 2*h + 118 What is the i'th term of 3811, 3875, 4051, 4387, 4931? 8*i**3 + 8*i**2 - 16*i + 3811 What is the w'th term of 12898, 25394, 37576, 49444, 60998, 72238, 83164? -157*w**2 + 12967*w + 88 What is the q'th term of 215715, 431604, 647493, 863382, 1079271? 215889*q - 174 What is the t'th term of -27487, -29785, -32083, -34381, -36679? -2298*t - 25189 What is the q'th term of 6637626, 13275314, 19913000, 26550684? -q**2 + 6637691*q - 64 What is the w'th term of -710719, -710723, -710727, -710731, -710735? -4*w - 710715 What is the i'th term of -1725752, -1725763, -1725780, -1725803, -1725832, -1725867? -3*i**2 - 2*i - 1725747 What is the f'th term of 524, 1035, 1422, 1691, 1848, 1899, 1850, 1707? f**3 - 68*f**2 + 708*f - 117 What is the l'th term of -84499, -82903, -80241, -76513? 533*l**2 - 3*l - 85029 What is the p'th term of 27250, 54589, 81932, 109279, 136630, 163985? 2*p**2 + 27333*p - 85 What is the b'th term of 140240, 140237, 140230, 140219, 140204, 140185? -2*b**2 + 3*b + 140239 What is the b'th term of -15331039, -15331040, -15331039, -15331036, -15331031, -15331024, -15331015? b**2 - 4*b - 15331036 What is the r'th term of 198840, 197602, 196364? -1238*r + 200078 What is the q'th term of 425, 742, 1249, 1928, 2761, 3730, 4817, 6004? -3*q**3 + 113*q**2 - q + 316 What is the w'th term of 42764, 85620, 128428, 171164, 213804, 256324, 298700? -4*w**3 + 42884*w - 116 What is the z'th term of 50499, 101587, 152661, 203715, 254743, 305739, 356697, 407611? -z**3 - z**2 + 51098*z - 597 What is the w'th term of 24932, 24490, 24048, 23606, 23164? -442*w + 25374 What is the n'th term of -856, -2242, -4386, -7666, -12460, -19146, -28102? -63*n**3 - n**2 - 942*n + 150 What is the j'th term of 219, 10634, 28007, 52338? 3479*j**2 - 22*j - 3238 What is the a'th term of -1007875, -1007823, -1007771, -1007719, -1007667? 52*a - 1007927 What is the r'th term of 104709, 102503, 98827, 93681? -735*r**2 - r + 105445 What is the m'th term of 711443, 2845765, 6402967, 11383049, 17786011, 25611853? 711440*m**2 + 2*m + 1 What is the y'th term of -5775798, -5775812, -5775826, -5775840, -5775854? -14*y - 5775784 What is the y'th term of -96253, -192546, -288843, -385144, -481449? -2*y**2 - 96287*y + 36 What is the r'th term of 46419, 92610, 138809, 185016, 231231, 277454, 323685? 4*r**2 + 46179*r + 236 What is the q'th term of 3813463, 15253902, 34321301, 61015660, 95336979? 3813480*q**2 - q - 16 What is the v'th term of 611929, 611834, 611677, 611458, 611177, 610834, 610429? -31*v**2 - 2*v + 611962 What is the k'th term of 4265, 9555, 14845, 20135, 25425, 30715? 5290*k - 1025 What is the b'th term of 1345, 2801, 4257? 1456*b - 111 What is the g'th term of 495, 174, -337, -1020, -1857, -2830, -3921? 3*g**3 - 113*g**2 - 3*g + 608 What is the y'th term of -11722, -46542, -104584, -185854, -290358? -y**3 - 11605*y**2 + 2*y - 118 What is the l'th term of 51348551, 51348553, 51348555, 51348557, 51348559? 2*l + 51348549 What is the h'th term of -1985, 1131, 6323, 13591? 1038*h**2 + 2*h - 3025 What is the t'th term of 3258, 5644, 8010, 10362, 12706, 15048? t**3 - 16*t**2 + 2427*t + 846 What is the d'th term of -107163, -216360, -325555, -434748, -543939, -653128? d**2 - 109200*d + 2036 What is the s'th te
{ "pile_set_name": "DM Mathematics" }
7948 In base 8, what is 6 + -72221? -72213 In base 2, what is 111001 + -1111110111? -1110111110 In base 10, what is 86 + -319? -233 In base 9, what is -57 + -107435? -107503 In base 4, what is -21301 - 130? -22031 In base 8, what is -761522 + 1? -761521 In base 16, what is 4103 - 5? 40fe In base 6, what is -235214 + 2? -235212 In base 16, what is -49bd + -a? -49c7 In base 12, what is -14662 + -1b? -14681 In base 12, what is 10 + 180a3? 180b3 In base 15, what is 3 + 12e39? 12e3c In base 10, what is 5 + -299871? -299866 In base 5, what is 322 + 31310? 32132 In base 2, what is -1101101010110000 + 1? -1101101010101111 In base 8, what is -4 + 54052? 54046 In base 16, what is 47 + -293? -24c In base 5, what is -1 + 2024130? 2024124 In base 13, what is 8c830 - 3? 8c82a In base 2, what is -1110001 - -1000000100110? 111110110101 In base 16, what is -109c8 - 2? -109ca In base 5, what is 4 - -1014334? 1014343 In base 3, what is -2210112 + -22? -2210211 In base 3, what is -20010110 + 200221? -12102112 In base 9, what is -2 - 53201? -53203 In base 10, what is -147477 + 3? -147474 In base 8, what is 54215 + 5? 54222 In base 10, what is -180 - -1031? 851 In base 5, what is 31 - 11334? -11303 In base 11, what is -1 - -33952? 33951 In base 8, what is 30 - 20250? -20220 In base 4, what is 31 + 102223? 102320 In base 15, what is 156 - -a86? bdc In base 7, what is -446514 - 3? -446520 In base 15, what is -13 - -3e8a? 3e77 In base 7, what is -3060 - 156? -3246 In base 9, what is -138241 - -14? -138226 In base 12, what is 126213 + -2? 126211 In base 8, what is 4101 - 7? 4072 In base 14, what is 122 - 29db? -28b9 In base 2, what is 11011101100110 - 1? 11011101100101 In base 9, what is -1581 + -238? -1830 In base 6, what is 4 + 20155420? 20155424 In base 9, what is -4458 + 11? -4447 In base 15, what is 47 - 10c? -b5 In base 13, what is -136 - 813? -949 In base 8, what is 3 + -342506? -342503 In base 4, what is 11131 - -332? 12123 In base 3, what is 120222 - -202? 121201 In base 7, what is 30 + 1250? 1310 In base 10, what is 65707 - 2? 65705 In base 6, what is 35 - 443021? -442542 In base 8, what is -11 - 54712? -54723 In base 8, what is 4031 + 52? 4103 In base 9, what is 5 + 1615? 1621 In base 13, what is 5 - 1661? -1659 In base 7, what is 334 + -121? 213 In base 9, what is -23 + 2161? 2137 In base 14, what is 60 + 207? 267 In base 2, what is 100101111001 - 110110? 100101000011 In base 7, what is 314160 + -1? 314156 In base 15, what is -d - 3d8a? -3d98 In base 16, what is 0 + -e9e5? -e9e5 In base 13, what is -3c - 40b8? -4127 In base 12, what is -5 - 67017? -67020 In base 9, what is -2 + 117854? 117852 In base 12, what is 352 - 178? 196 In base 2, what is 1110 + -10110000111001100? -10110000110111110 In base 13, what is 5 - -3c88? 3c90 In base 4, what is -2 - -1133302? 1133300 In base 6, what is 5 - -2300145? 2300154 In base 7, what is -1256 + -4? -1263 In base 11, what is 1957 - 46? 1911 In base 3, what is -101 - -210110020? 210102212 In base 10, what is -7 + 10953? 10946 In base 13, what is 10 + 92c1? 9301 In base 16, what is 1b + 83d? 858 In base 2, what is 1101010110001010111 - 1? 1101010110001010110 In base 3, what is 200 - 100212001? -100211101 In base 9, what is 42 - 482? -440 In base 10, what is -537 + -67? -604 In base 2, what is 101 - -110011011100111? 110011011101100 In base 10, what is 495 - -1035? 1530 In base 15, what is -1 + -25a3? -25a4 In base 10, what is -1 - 25534? -25535 In base 15, what is 14e5c - b? 14e51 In base 2, what is -10110011110010100110 - -10? -10110011110010100100 In base 5, what is 11401301 - -4? 11401310 In base 2, what is -1000110100101000 - 11? -1000110100101011 In base 10, what is -27885 - 37? -27922 In base 10, what is -1 + 315281? 315280 In base 6, what is -4020 + 35? -3541 In base 8, what is 325 - -117633? 120160 In base 5, what is 1 + 3424003? 3424004 In base 7, what is 23 + -1433? -1410 In base 13, what is -1a968 + 4? -1a964 In base 9, what is -87 - -1708? 1611 In base 11, what is -2 + -14a2? -14a4 In base 8, what is -5 - 26204? -26211 In base 13, what is -36 + 132? c9 In base 5, what is -14344 - -2243? -12101 In base 6, what is 5 + 225544? 225553 In base 7, what is -165 + 51? -114 In base 14, what is -17 - -1b82? 1b69 In base 13, what is -2895 - -4? -2891 In base 15, what is -1 + 632e? 632d In base 16, what is -ab4d + 1? -ab4c In base 3, what is 1011112122 - 1? 1011112121 In base 13, what is 3836 - 7? 382c In base 3, what is 11120211221 - 1102? 11120210112 In base 12, what is 480a + -9? 4801 In base 2, what is 100000100101 + -100? 100000100001 In base 15, what is -5 + 36b? 366 In base 4, what is 10 - 1121123300? -1121123230 In base 12, what is 208 - 8? 200 In base 15, what is -5 + -17c3b2? -17c3b7 In base 2, what is -1011 - -11000010000? 11000000101 In base 4, what is 2120010101 - 11? 2120010030 In base 12, what is -39a + 144? -256 In base 10, what is -120 + -214? -334 In base 3, what is 100221221120011 + 1? 100221221120012 In base 4, what is -3 + -110233100? -110233103 In base 16, what is -280e - ff? -290d In base 9, what is -887 + 101? -786 In base 5, what is 231330211 + -3? 231330203 In base 15, what is -1d6c + 1? -1d6b In base 11, what is -1932a - -2? -19328 In base 9, what is 2 - -3038? 3041 In base 10, what is -2 - 102? -104 In base 7, what is -10 - -43120? 43110 In base 14, what is 6 + 743a? 7442 In base 16, what is 0 - 288e? -288e In base 4, what is -301233 - 30? -301323 In base 10, what is -68208 - 4? -68212 In base 6, what is 215433 - 3? 215430 In base 13, what is 1 - 274b? -274a In base 16, what is -dc917 + 5? -dc912 In base 9, what is -430274 - -2? -430272 In base 13, what is b8316 - -1? b8317 In base 13, what is 182 - -18c? 341 In base 11, what is 279 - 27? 252 In base 8, what is 26402 - -75? 26477 In base 7, what is -4 + 2112662? 2112655 In base 8, what is -3 + -107? -112 In base 12, what is 2b + 241b5? 24224 In base 11, what is 1131 - 1725? -5a4 In base 4, what is 222 + 2210311? 2211133 In base 5, what is -104 + 30322? 30213 In base 8, what is 4 - 653514? -653510 In base 10, what is 4 + -1934? -1930 In base 5, what is 120413 + 22? 120440 In base 6, what is 2 - -20050100? 20050102 In base 3, what is 10 + 12121222022? 12121222102 In base 10, what is 3 - -7713? 7716 In base 2, what is -11 - 1001000010100010101? -1001000010100011000 In base 3, what is -20 + -2002201212? -2002202002 In base 8, what is -40 - -13541? 13501 In base 14, what is -c83c + 4? -c838 In base 6, what is -5 + 2135514? 2135505 In base 7, what is -3 + -62131? -62134 In base 15, what is 23 + a4? c7 In base 13, what is 5991ac - 2? 5991aa In base 16, what is 39 + ffe? 1037 In base 9, what is -434 + 27? -406 In base 13, what is 5 - -8864? 8869 In base 14, what is -1d36 + -1? -1d37 In base 7, what is -6 - 15626? -15635 In base 13, what is 1921 - 5? 1919 In base 5, what is -1211 - 224010? -230221 In base 8, what is 10231 - 102? 10127 In base 13, what is -3 - -7042? 703c In base 2, what is 100101100111111000 + 1? 100101100111111001 In base 12, what is 1a202 + -4? 1a1ba In base 7, what is -23011 + -6? -23020 In base 2, what is -10011 - -101100001111011? 101100001101000 In base 9, what is 77 + 1274? 1362 In base 2, what is 1011000101001000010010 - 11? 1011000101001000001111 In base 14, what is -112 - 3c2? -4d4 In base 9, what is 8 - 70? -61 In base 13, what is -3 + -c176? -c179 In base 16, what is 52 + -63? -11 In base 14, what is 67c - 0? 67c In base 9, what is -1021 + -561? -1582 In base 10, what is -10742 - -251? -10491 In base 8, what is 2 + 176150? 176152 In base 14, what is 0 - -35866? 35866 In base 13, what is 6 + 92961? 92967 In base 16, what is ab + f95? 1040 In base 4, what is -11031133 - -3? -11031130 In base 7, what is 1633 + -5556? -3623 In base 14, what is 1411 - a? 1405 In base 16, what is 8b + -f6? -6b In base 4, what is -102110231 + 113? -102110112 In base 7, what is 1044 - 45? 666 In base 6, what is -3040 - -23? -3013 In base 4, what is -1 + 301320333? 301320332 In base 16, what is -9 - -100f? 1006 In base 4, what is 11310132 + 20? 11310212 In base 6, what is -50133 - 4? -50141 In base 12, what is -41240 + -2? -41242 In base 3, what is 2101 + 1202222? 1212100 In base 14, what is 2c7 + -8b0? -5c7 In base 11, what is -12406 - 5? -124
{ "pile_set_name": "DM Mathematics" }
((sqrt(704) - (-2 + sqrt(704))) + 0 - (sqrt(704) - (sqrt(704) + -1 + -1))))**2. 1152*sqrt(11) + 101407 Simplify ((sqrt(171) - (sqrt(171) - sqrt(171)*-3*-6)) + sqrt(171))/(sqrt(9) + sqrt(45)/sqrt(5)*-4) + (sqrt(57)/(2*sqrt(3)) - (-3*sqrt(209))/sqrt(11))**2 + 2. -19*sqrt(19)/3 + 939/4 Simplify (sqrt(152)/(sqrt(648)*-1) - ((sqrt(190) - (sqrt(190) + 2*sqrt(190)*-6))/sqrt(10))**2) + (1*sqrt(1539)*-1 - 3*(-1 + sqrt(1539)))**2*-1. -27369 + 1943*sqrt(19)/9 Simplify (5*sqrt(40)/(2*sqrt(20)))/(sqrt(24)/sqrt(6)*-6 + ((sqrt(4) - sqrt(256)) + sqrt(4))*-2). 5*sqrt(2)/24 Simplify -5*(6*((-4*(sqrt(1872) + -1 + sqrt(1872)) - 1*(1 + sqrt(1872))) + -5))**2 + -4. -27294484 - 77760*sqrt(13) Simplify -1*(-2 + (-4*(sqrt(153) - (sqrt(153) + 3*sqrt(153)*5)))/((-2*sqrt(18))/sqrt(2) + sqrt(18)/sqrt(2)*-1))**2. -6804 - 80*sqrt(17) Simplify 6*(-3 + -3*(1*((sqrt(475) - (2*sqrt(475))**2) + (0 + sqrt(1900) - sqrt(1900))**2) + -5 + 2*2*sqrt(2299))). -882*sqrt(19) + 34272 Simplify 3*(sqrt(2057) + -4 + 2) + (sqrt(2057) - (sqrt(2057) + sqrt(2057) + (sqrt(2057) - 2*sqrt(2057)) + sqrt(2057))*2 - (5 + sqrt(2057) + 0)). -11*sqrt(17) - 11 Simplify ((4 + sqrt(252) + 4 - sqrt(252)) + 2*(sqrt(252) + sqrt(252)*4))**2 + sqrt(252) + (-2 + (sqrt(252) - sqrt(252)*3))**2 + 2 + sqrt(252) + -1. 1020*sqrt(7) + 26277 Simplify -1*sqrt(68) + sqrt(68) + 3 - 2*(sqrt(1700) - (((1*sqrt(1700))**2 - sqrt(1700))*-2 - sqrt(1700))). -6797 Simplify (0 + -5*(0 + (-4*(sqrt(468) + (sqrt(468) + 1 - sqrt(468) - sqrt(468)) + 1) - 4*(-1 + sqrt(468) + 0 + sqrt(468)))))**2. 9600*sqrt(13) + 749200 Simplify 1*(((-1 + (-1 + sqrt(4032) - sqrt(63)))*-6 + -4)**2 + -4)*1. -2016*sqrt(7) + 111192 Simplify 3 + -6*((sqrt(2057) - (1 + sqrt(2057))**2) + -3 + sqrt(2057) + ((-1 + sqrt(2057))*6)**2 + 4)*-3. -14256*sqrt(17) + 1296561 Simplify 4 + -1 + (1*sqrt(396))**2 + (-1*(sqrt(88) - sqrt(88)*-1))/(sqrt(8) + sqrt(288)*-1). 2*sqrt(11)/5 + 399 Simplify (((sqrt(396) + -1)*-3 + 4)*-1 - (2*sqrt(88)*6 + sqrt(88))/(sqrt(56)/sqrt(112))*2)**2. 1204*sqrt(11) + 81405 Simplify (-5 + -1*((-1*sqrt(192)*4)**2 - sqrt(192))*5)*-3 + -1. -120*sqrt(3) + 46094 Simplify 0 + ((sqrt(300)/(sqrt(600)*-2 + sqrt(600)))/(sqrt(1440) + sqrt(1440) + 2*sqrt(1440) + -1*sqrt(160)) + -4)*2. -8 - sqrt(5)/220 Simplify (1*sqrt(66)*4 + (sqrt(66) - 3*sqrt(66)*2 - sqrt(66)))/(sqrt(24)/sqrt(4)*4 + (sqrt(6)*5 - sqrt(6))*-4). sqrt(11)/6 Simplify ((4 + sqrt(143)/(sqrt(11)*2))*-4 - (-4*(sqrt(1053) + 0)*2)**2)*-5. 10*sqrt(13) + 337040 Simplify -2*(2*sqrt(512))/(sqrt(4) + 1*sqrt(100) + sqrt(100)) + (-6*(sqrt(720) - sqrt(20)))/(sqrt(1000)/sqrt(4)). -98*sqrt(2)/11 Simplify -6*(1*sqrt(700)*4)**2 + sqrt(7) + 3*(2*sqrt(7))**2 + sqrt(7) + -4 + sqrt(7) + 1. -67119 + 3*sqrt(7) Simplify (4*(2 + sqrt(7) + -1)*2 + sqrt(7) + -3 + 5 + sqrt(42)/sqrt(24))**2. 190*sqrt(7) + 2927/4 Simplify (-2 + ((sqrt(68) - (sqrt(68) + sqrt(68) + (sqrt(68) - (sqrt(68)*2*-2 - sqrt(68)))))*3)/(-2*(sqrt(144)/sqrt(4))/sqrt(9)))*4. -8 + 42*sqrt(17) Simplify 3 + (sqrt(144)/((4*sqrt(66) + sqrt(66))/sqrt(11)))/(sqrt(16)/((sqrt(48)/sqrt(4))/sqrt(6))). sqrt(3)/5 + 3 Simplify (sqrt(153)*-2*2 + (-1*sqrt(153)*-2 - sqrt(153)))/(-4*(sqrt(324) + (sqrt(324)*2 - sqrt(324) - sqrt(324)))). sqrt(17)/8 Simplify ((-2*sqrt(110) + sqrt(110))*-6)/(-3*-2*sqrt(10)) - (-3 + ((sqrt(176) + -4 + -1 + sqrt(176))*6)**2). -26241 + 2881*sqrt(11) Simplify 5 + (sqrt(5000)*-1 + 0)**2*-1 + ((sqrt(5000) + (sqrt(5000) - (sqrt(5000) + -1*sqrt(5000) + sqrt(5000)))*-3)**2 - (-2*sqrt(5000)*-1)**2) + 5. -19990 Simplify (-2 + -3*sqrt(832)*1 + 4*(-2*sqrt(832)*-1 + sqrt(832)) + 2)**2. 67392 Simplify (-2*(5 + ((2*sqrt(65))/sqrt(5) + 1 + (sqrt(13) - 1*sqrt(13)) - ((-1*sqrt(104))/sqrt(8) - (sqrt(1300)*2 - sqrt(1300))))))**2. 624*sqrt(13) + 8932 Simplify (((sqrt(132) + sqrt(132) + sqrt(132) + 1*sqrt(132))*1 - -3*sqrt(132)*-2)/(sqrt(12)*1*-3 + sqrt(12) + sqrt(84)/(1*sqrt(7))) + -3)**2. -12*sqrt(11) + 53 Simplify -6*(-4 + 6*((-5 + sqrt(153))**2 + sqrt(153)) + ((2 + sqrt(153))*-4)**2 + -1 + sqrt(153) + -1). -21444 - 198*sqrt(17) Simplify -3*(3 + ((1 + sqrt(2057))*-6)**2 + sqrt(2057)) - (sqrt(204) - (1*sqrt(204) + sqrt(204)))/(3*sqrt(27)). -222273 - 21679*sqrt(17)/9 Simplify (-6*(sqrt(153) + sqrt(153)*-4 - sqrt(153)) - (-2*-1*sqrt(153) - sqrt(153)))/(sqrt(45)/(sqrt(5)*1) - -2*sqrt(81)). 23*sqrt(17)/7 Simplify (-1*-2*((sqrt(180)/sqrt(3))/sqrt(2))/(sqrt(250)*2)*-5*-2)**2. 12 Simplify ((sqrt(2448)*-2*3 + -3 - ((sqrt(2448) - -2*sqrt(2448)*-3) + sqrt(2448) + sqrt(2448) - (sqrt(2448) + 1 + -2)))*-1)**2*1. 192*sqrt(17) + 9808 Simplify (4*sqrt(114)*-3*5)/(-6*sqrt(30)/sqrt(5) - sqrt(294)*2). 3*sqrt(19) Simplify (-4*(-2 + sqrt(13)) - (sqrt(13) - (-3*sqrt(208))**2))*6 - (sqrt(91)/(sqrt(7) - (sqrt(343) + (sqrt(343) + 6*sqrt(343) - sqrt(343)))) + -3). -1439*sqrt(13)/48 + 11283 Simplify ((-6*(sqrt(100)*-3*-2)/sqrt(2))/(-1*sqrt(90)/(sqrt(900) + 5*sqrt(900) + sqrt(900) + sqrt(900) + sqrt(900))))**2. 52488000 Simplify (sqrt(114)/sqrt(108)*3)/(5*2*sqrt(2178) - sqrt(2178) - sqrt(2178) - sqrt(2178)). sqrt(19)/462 Simplify (sqrt(980) + sqrt(980)*-2 - -2*sqrt(20)*2)/(sqrt(256) + -6*sqrt(256)*4 + sqrt(256) + sqrt(256)). sqrt(5)/56 Simplify (-4*-2*sqrt(192)*-1)/((-4*-1*sqrt(24) - sqrt(24))/(-1*(sqrt(16)/sqrt(4) + sqrt(4)))). 64*sqrt(2)/3 Simplify -3*((-1*sqrt(228)*-4)/((sqrt(84)*-2)/sqrt(7)) + -1)*2. 6 + 12*sqrt(19) Simplify 3 + (-2*(0 + sqrt(396)))**2 + 4 + (2*(sqrt(121)*-3 + sqrt(121)))/(sqrt(77)/(sqrt(42)/sqrt(6))). -4*sqrt(11) + 1591 Simplify -5 + (sqrt(304) - ((3 + sqrt(304) - sqrt(304)) + -5))**2 + ((-1*sqrt(76) - sqrt(76))*-6)**2 + (sqrt(76)*-1)**2 + -5. 16*sqrt(19) + 11318 Simplify (2*(2*sqrt(121) - sqrt(121)) - sqrt(121))/(sqrt(539) + 1*sqrt(539))*-4 + ((-2*sqrt(176)*1)/sqrt(4))**2*6. -2*sqrt(11)/7 + 1056 Simplify (-2 + (-1*sqrt(1008) + -4 - (-1 + sqrt(1008))*-1) + 1 + -3 + 0 + sqrt(1008))**2. -216*sqrt(7) + 1089 Simplify -1 + -2 + 2*sqrt(245)*5 + 0 + sqrt(245) + 0 + -5 + -1. -9 + 77*sqrt(5) Simplify -5 + -3*(((1*sqrt(200))**2 - sqrt(200)) + sqrt(200))*-3 + (((sqrt(200)*-2 + 4 - sqrt(200)) + sqrt(200))**2 - (-2*sqrt(200))**2*-3) + 5. -160*sqrt(2) + 5016 Simplify -2*((-3*(-2*sqrt(156)*1)/(sqrt(108)/(sqrt(9)*2)) + -4)*-6)**2. -135936 + 6912*sqrt(13) Simplify 5*(0 + sqrt(35)/(sqrt(14)/sqrt(2)) + -5 - (sqrt(550)/sqrt(396))/(sqrt(640)*-3)). -25 + 725*sqrt(5)/144 Simplify (3*(-1*sqrt(891)*-6 + sqrt(891) + 2 + sqrt(891) + 1))**2 + 4 + -3. 3888*sqrt(11) + 513298 Simplify (3 + -1 + sqrt(68) - (-5 + -6*(2*sqrt(17) - sqrt(17))) - (1 + sqrt(153))*4*1*1)**2. -24*sqrt(17) + 281 Simplify (sqrt(567)*-2 + sqrt(63) + sqrt(126)/(sqrt(18)/sqrt(9)) + sqrt(63))/(sqrt(225)*-3 + sqrt(81)*-2 + sqrt(81)). sqrt(7)/6 Simplify -1 + -6*(4*sqrt(325) + sqrt(325))**2 - (4*(sqrt(3900) + sqrt(3900)*2 - sqrt(3900))/sqrt(3))**2. -131951 Simplify 1 + (sqrt(567)*3)/(-5*sqrt(576)) + 0. -9*sqrt(7)/40 + 1 Simplify (sqrt(612) + (-1 + sqrt(612))**2*-2)*1 + -1 - -2*2*sqrt(612)*5*-3. -330*sqrt(17) - 1227 Simplify -2*(-1 + (1*-4*(sqrt(130) - sqrt(130)*1))/(sqrt(40)/(sqrt(4) - sqrt(64)*-1))). 2 Simplify (sqrt(2100)*3)/(sqrt(77)/sqrt(176)) - (4*sqrt(12)/(sqrt(8)/sqrt(2)))**2*2*-3. 120*sqrt(3) + 288 Simplify (5 + 3*(-6*(2 + sqrt(432)) + 5 + sqrt(432)*2)*4 + -3)**2. 94464*sqrt(3) + 1002052 Simplify (4*(sqrt(11) + -1 + sqrt(396) - sqrt(11)*2*2) + (6*sqrt(440)*-2)/sqrt(10))**2 + -1. 96*sqrt(11) + 1599 Simplify (sqrt(144)/(sqrt(432)*-3) - (sqrt(48) + 6*3*sqrt(48))*5)*-5. 17105*sqrt(3)/9 Simplify (-3 + (sqrt(76) + (sqrt(76)*2 - sqrt(76)) + 2 + -5 - -4*(sqrt(76) + 1)*6)*2 + -3)**2. 7488*sqrt(19) + 206800 Simplify (((sqrt(114)/sqrt(2)*-5 - sqrt(2052)*-2)*1)/(((1*sqrt(126))/sqrt(6))/(sqrt(7) - (sqrt(7) - 1*sqrt(7)*-6))))**2. 33516 Simplify (2 + (4*(sqrt(2736) - (sqrt(2736) + 1))*-1 - (sqrt(76)/(sqrt(8)/(sqrt(2)*2)) + 2)))**2. -16*sqrt(19) + 92 Simplify (-1 + ((sqrt(2448) + 1)**2 - (-5 + sqrt(102)/sqrt(6))) + -2 + -5)*4*-5. -48920 - 460*sqrt(17) Simplify (5 + (-6*sqrt(343)*2*6 + sqrt(343) + (sqrt(343) + (sqrt(343) + 5 + sqrt(343) - sqrt(343)))*3 + -4)**2)*6. -60060*sqrt(7) + 8695806 Simplify 0 + (sqrt(30)/sqrt(3)*4)/(sqrt(2) + (sqrt(2) + sqrt(4)/sqrt(2) + sqrt(2))*5) + (-5*sqrt(500) + 6*sqrt(125))**2. sqrt(5)/4 + 2000 Simplify (-1 + -5 + 4 + -6*(sqrt(175) + sqrt(175)*1 + 2))**2*-5. -126980 - 8400*sqrt(7) Simplify 5 + (((-2 + sqrt(5) +
{ "pile_set_name": "DM Mathematics" }
+ 9. Let g = -8 + 12. Which is the nearest to 1/4? (a) j (b) h (c) g b Let w be (-1)/((-1310)/(-504)) - 6/(-15). Let k = w + -135/262. Let d be 1*(-3)/(42/(-4)). What is the nearest to 2/3 in d, -0.4, k? d Let j be (12/5)/((-72)/(-180)). What is the closest to j in 0.2, 0.1, -1/5? 0.2 Let u = 10/7 + -37/21. Let s be ((-4)/(-8))/((-18)/(-12)). What is the nearest to s in u, 1/2, 2? 1/2 Let q be (1/(-11))/((-29)/(-58)). What is the closest to q in 6, -2, 1/3? 1/3 Let t be (8/18)/(28/(-42)). Let y = -7 - -6.9. Which is the closest to 1? (a) t (b) 0.3 (c) y b Let r = -7.8 + 8.3. Let f = -49/165 + -2/55. What is the closest to 0.2 in r, -2/19, f? r Let y(t) = -t**3 + 4*t**2 - 3*t - 2. Let x be y(3). Let d = 3.72 + -0.72. Let u = -0.09 - -4.09. Which is the closest to -1? (a) d (b) u (c) x c Let n be 50/8*(21 - (-1080)/(-50)). What is the nearest to n in 1/2, 0.4, -1? -1 Let l = -556 - -1664/3. What is the closest to 0.4 in -1/9, 2, l? -1/9 Let l = 13 + -12.8. Let b = 17 - 9. Let i be (b/(-100))/(1/5). What is the nearest to 3 in l, -3, i? l Suppose 0 = 10*o + 304 - 214. Let w = -0.4 - -0.7. Which is the closest to o? (a) w (b) 4/7 (c) -0.1 c Let l = 11 + -3. Let q be 42/10 + l + -13. Which is the nearest to 0.1? (a) q (b) -0.4 (c) 1/6 c Let w = 398 - 392. Which is the nearest to -2/7? (a) 1/2 (b) -2 (c) w a Let r = 101 + -66. Suppose r*d - 4 = 39*d. Let o = d + 6. What is the nearest to 0 in o, -0.1, 6? -0.1 Let x = 7346.3 - 7346. Let z = -5/6 - -29/42. What is the nearest to 0 in 4/9, x, z? z Let y be 589/(-95) - 8/(-60)*-5*-9. Let t = 1/193 + 369/3281. Which is the nearest to -2? (a) -1/3 (b) y (c) t a Let x = -157.6 + 158.1. What is the nearest to 0.1 in -10, x, -2? x Let d = 0.31 + -0.21. What is the closest to 2/55 in d, 2, 0.3? d Let i = -1 + 0. Let v be (-2)/8 + i/4. Let u = 41/7 + -6. What is the nearest to v in -1, 2, u? u Let h be (128/10 - 12) + (-72)/100. What is the closest to -0.1 in -1/10, h, -4, 0.1? -1/10 Let s = -396 - -396.12. What is the nearest to 1 in 1/4, -3, -1, s? 1/4 Let i = 7.51 + -2.51. What is the nearest to -1 in i, 2, 45? 2 Let v(k) = k + 14. Suppose 24 = -o + 14. Let d be v(o). Which is the closest to -1? (a) d (b) 11/2 (c) 0.1 c Let m = -213/8 + 105/4. Let r = -89/4 - -22. What is the nearest to r in 5, m, -1? m Let o = 54 - 54. Let h = 1.4 - 1.48. Let w = h - 0.32. What is the nearest to w in -4, o, 0.3? o Let m = 0.04 - -0.26. Let j be (-6)/21 - -4 - (4 - 0). What is the nearest to j in -3, m, 0? 0 Let k = -4 - -4. Suppose 3*y = -3*g + 2*y - 15, 2*y = 3*g + 15. Let h be g/(-75) - 2/5. What is the closest to 0.2 in -2, k, h? k Let d = 47 - 47. Let i be 0/(3 + (-6 - d)). Let h = -5 - -7. Which is the closest to i? (a) 1 (b) h (c) -1/4 c Let q = 357.89 + -360. Let t = q - -2. Let n = t + 0.31. Which is the closest to 0.1? (a) n (b) 2 (c) 4 a Let m = 370/3 - 123. What is the nearest to m in -0.1, 8, 2? -0.1 Let n be (-12)/8*(2 - (-14)/(-3)). Let z be (-3 + (-65)/(-20))*n/2. Let t = -13 - -18. What is the closest to z in 4, t, -2/9? -2/9 Let k = -3.7 + 3.72. Which is the closest to 0? (a) -2/13 (b) k (c) -0.1 b Let s = -48 - -48.091. Which is the closest to 1? (a) -1 (b) s (c) 0.1 c Let o = 0.367 - 0.467. Which is the closest to 2/5? (a) 0.1 (b) -3 (c) -2/21 (d) o a Let r = -124/105 - -22/15. What is the nearest to 2/3 in -1/10, r, 1? 1 Let r = 12412.4 - 12412. Let x = 10.7 - 0.7. What is the closest to 2 in r, 2/3, x? 2/3 Suppose -5*x = 4*t - 65, 7*x = 3*x + 20. Which is the nearest to 0.1? (a) 0.4 (b) -2 (c) t a Let i be 2 + (0 - 80/42). Let h be -5*(-1)/(215/(-10) - -9). Let a = 0.45 + -0.05. What is the nearest to -1 in h, a, i? h Let l be 56/294*(-14)/4. What is the nearest to 4 in -1/5, 3/5, l? 3/5 Let i(k) = 14*k**3 + 8*k + 7. Let g be i(-2). Let t = g - -116. Let x = 0 - 0.2. Which is the nearest to -3? (a) t (b) x (c) 2/3 a Let p = 369 + -365. Which is the closest to 0? (a) -8 (b) 3/8 (c) p b Let q be (24/(-50))/(-2)*1/(-3). Let f = 17/100 - q. Which is the nearest to -1? (a) f (b) -3 (c) -3/2 c Let f = 9 + 8. Let l = 16.9 - f. Let o = -3.4 + 8.4. What is the closest to l in 0, o, -2/15? -2/15 Let v = -6.5 + -24.5. Let g = 31.2 + v. What is the closest to g in 2/5, -5, 2? 2/5 Let s = -30.25 + -0.75. Let o = -32 - s. Which is the nearest to o? (a) 1/3 (b) 3 (c) -4/3 c Let n = -128 - -894/7. Let y(c) = 26*c - 730. Let k be y(28). What is the closest to -2/5 in k, 1, n? n Let h(y) = y**3 - 15*y**2 - 2*y + 33. Let a be h(15). Suppose a*w - 1 - 5 = 0. What is the nearest to 2 in -10, w, -1/2? w Let f = -2.36 - 0.04. Let x = 2.5 + f. Which is the nearest to x? (a) -3 (b) -2 (c) 3 b Let w = -2 - -2.3. Let d = 4.157 + -1.157. Which is the closest to -1/3? (a) w (b) d (c) -6/13 c Let z = 13 - 18. Let f = 243 + -240. What is the closest to 2 in -2/21, z, f? f Let z = -216 - -216. Which is the closest to z? (a) -61 (b) -2/13 (c) -0.5 b Let q = 240.7 + -245.7. Let o = -0.18 - -0.88. Which is the closest to 2? (a) -1/9 (b) o (c) q b Let a = 15.221 - 0.221. What is the nearest to 0 in 2/21, 3, a? 2/21 Suppose 239 = 4*l + 247. What is the closest to 0.1 in l, 4, 17? l Let n = -8.3 + 8. Let o = 0 - n. Let v = 0.0436 - -1.9564. What is the nearest to v in -4/7, 0, o? o Let f be (-1 - -2) + 116/(-6). Let s = -18 - f. Let o = -2/18023 + 72106/126161. Which is the closest to -1? (a) s (b) o (c) -0.1 c Let t be (-2)/(-8)*(-16)/6. Suppose -5*w + 40 = 5*x, 4*x - 36 = -3*w - 9. Which is the closest to 1? (a) w (b) -4 (c) t c Let m = -3/1141 - 1129/4564. Which is the closest to 1/7? (a) 1.1 (b) 2/11 (c) -4/3 (d) m b Let m = -0.186 - -30.586. Let s = -1.4 + m. Let l = s + -30.1. Which is the nearest to l? (a) -0.4 (b) -0.5 (c) -2 b Suppose -18*i - 10*i = -56. What is the nearest to 0 in i, -9, 2/5, -2/3? 2/5 Let d = 0.4 + -0.1. Let b = -1/1126 - -3383/5630. What is the nearest to d in -1/4, 0.2, b? 0.2 Suppose 5*m + 4597 = 4617. What is the nearest to m in -1, -0.1, 0.4, 5? 5 Let g(x) = -x**3 + 2*x**2 - 2*x + 3. Let n be g(2). Let c = 0.06935 - -1.93065. Let s = -0.3 + -0.2. What is the closest to c in s, n, -4? s Let m be -6 + (-1922)/(-350) - 12/(-150). What is the closest to 2 in -2/47, -1, m? -2/47 Let x = 23 + -16. Suppose 0 = 2*r - 62*l + 60*l, 0 = -4*r - 5*l - 9. Which is the closest to r? (a) x (b) 3 (c) -2 c Let y = 5.13 + -2.11. Let t = y - 0.02. Let p = 32 - 27. What is the nearest to t in -2/5, p, 4? 4 Let d = 221/5 - 1793/40. Which is the nearest to -3? (a) 1 (b) -2/7 (c) d c Suppose 92*d = 96*d - 16. What is the closest to -3 in 0.2, -0.4, -13, d? -0.4 Let z be 0 + -15 + 262 + -249. What is the closest to -2/9 in -5, z, -2/3, 0.1? 0.1 Suppose -4*z = 415 - 15. Let r be 2 + z/(-45) + -4. Let h = 1 + -3. Which is the nearest to 0? (a) r (b) -1 (c) h a Let c = 2 + -6. Let g be 1/((-2)/6) - c. What is the closest to g in 0.5, -0.4, -4? 0.5 Let v = -69 - -68.9. Let s(g) = 2*g - 8. Let r be s(8). What is the nearest to -2 in v, -2, r? -2 Let r = 751/1785 + 2/255. Let y(h) = h**2 - 12*h - 16. Let j be (-26)/8*(-3 + -1). Let g be y(j). Which is the nearest to 1? (a) r (b) g (c) 1/3 a Let p = 205.7 - 206. Which is the closest to 11.1? (a) 3/4 (b) p (c) 2/11 a Let j = -28.06 - 1.74. Let u = 32 + j. Let q = u - 2.2. Which is the nearest to 0.2? (a) -0.1 (b) q (c) 1 b Let l = -259.7 + 260. Which is the nearest to -32/7? (a) -2/9 (b) 1/4 (c) l a Let q = -0.2 - -0.2. Let a = 0.021 - -26.979. Let t = -24 + a. What is the closest to 1 in t, q, 1/2? 1/2 Let p(j) = j - 6. Let c be p(5). Let d = 14949 + -14939. What is the closest to 0.1 in c, d, 3? c Let m = -0.877 - 0.075. Let h = -0.048 + m. What is the nearest to 2 in -3/5, -5, h? -3/5 Suppose -j - 5 = -2*j. Let c = 765 + -764. What is the nearest to -2 in j, c, 2? c Let t = 8 + -9. Let g = 1.1 + t. Let k be (2/(-2))/((-6)/(-9)). Which is the nearest to g? (a) -5 (b) k (c) 3 b Let v be 240/25 + -9 - 6/(-15). Which is the nearest to -1? (a) 5 (b) -5 (c) -0.2 (d) v c Let h(j) = 18*j**3 + j**2 + j - 1. Let s be h(1). Let y = s - 18. Let n = 0.2 - 0.4. What is the closest to y in 0, n, -1/4? 0 Let z = 37.021 + 0.379. Let w = z + -74. Let d = 37 + w. Which is the closest to 1? (a)
{ "pile_set_name": "DM Mathematics" }
l(y) = -y**2 + y - 1. Let k(n) = r*t(n) + 5*l(n). Determine c so that k(c) = 0. -2, -1, 0, 1 Suppose 0*t = -r - 5*t + 15, -3*t - 19 = -5*r. Let q(k) = -8*k**3 + 3*k - 5. Let w(z) = 20*z**3 - 8*z + 12. Let v(b) = r*w(b) + 12*q(b). Factor v(p). 4*p*(p - 1)*(p + 1) Let w be 25/550*0/19. Suppose 0*f - 1/8*f**3 + 1/4*f**4 + 0 - 1/8*f**5 + w*f**2 = 0. Calculate f. 0, 1 Let k(c) be the third derivative of c**7/1785 + c**6/85 - 14*c**5/255 - 180*c**2. Factor k(o). 2*o**2*(o - 2)*(o + 14)/17 Let y(i) be the second derivative of 0*i**3 + 0*i**2 + 1/40*i**5 - 1/8*i**4 + 3 + 3*i - 1/84*i**7 + 1/20*i**6. Let y(c) = 0. What is c? -1, 0, 1, 3 Let n(t) = 5*t**5 - 14*t**4 + 26*t**3 + 10*t**2 - 25*t + 16. Let w(k) = -k**4 - k**3 - 1. Let h(m) = -n(m) - 6*w(m). Suppose h(f) = 0. What is f? -1, 1, 2 Suppose 3*p - 4*y + 35 = 0, -4*p - y = 17 - 2. Let d be ((-20)/(-3))/p*6/(-28). Factor 0 + 0*n + d*n**3 + 0*n**2. 2*n**3/7 Let x = 43682 - 43680. Factor -x*y**2 - 1/2*y**3 + 1/2*y + 2. -(y - 1)*(y + 1)*(y + 4)/2 Let s(o) be the first derivative of -o**4/48 + o**3/12 + 3*o**2/8 - 41*o + 16. Let i(y) be the first derivative of s(y). Factor i(c). -(c - 3)*(c + 1)/4 Let s(d) be the second derivative of -d**5/5 + 11*d**4/3 - 64*d**3/3 + 56*d**2 - d - 6. Factor s(j). -4*(j - 7)*(j - 2)**2 Let u(x) = -25*x**2 - 2 + 29*x**2 + 6. Let i be u(-2). Factor -i*d + 15 + d**2 + 5*d**2 - d**2. 5*(d - 3)*(d - 1) Let i(t) be the third derivative of 0 - 1/66*t**4 - 1/33*t**3 - 3*t**2 - 1/330*t**5 + 0*t. Factor i(n). -2*(n + 1)**2/11 Let n be 8/(-5)*(-1 + (-70)/(-168)). What is i in 4/15*i**3 - 16/15*i**2 + n*i - 2/15*i**5 + 4/15*i**4 - 4/15 = 0? -2, 1 Let y(j) be the third derivative of j**5/15 - j**4/6 + 9*j**2. Let t(s) = s**2. Let u(k) = -2*t(k) + y(k). Suppose u(z) = 0. What is z? 0, 2 Let x(b) = -3*b**2 + 16*b - 30. Let h(c) = -39*c**2 + 207*c - 393. Let t(u) = 2*h(u) - 27*x(u). Factor t(j). 3*(j - 4)*(j - 2) Suppose -4*x = 2*w + 153 - 175, 5*w - 2*x - 7 = 0. Let 0 + 0*q**w - 9/8*q**2 + 3/8*q**4 - 3/4*q = 0. Calculate q. -1, 0, 2 Suppose -z + 1 = -o, 0*o = -4*o + 3*z. Let q(w) = 7*w**2 - 10*w + 5. Let h(v) = 8*v**2 - 10*v + 5. Let c(p) = o*q(p) - 2*h(p). Let c(s) = 0. What is s? 1 Let d(s) be the third derivative of s**8/15120 - s**7/378 + 5*s**6/108 - s**5/12 + 9*s**2. Let b(l) be the third derivative of d(l). Find j such that b(j) = 0. 5 Let c(g) = g**3 + g**2 - 12*g + 12. Let j be c(2). Find q such that j + 0*q + 1/8*q**2 = 0. 0 Suppose -2*u + 4*v = -126 + 20, 88 = 2*u + 5*v. Let -6 - 3*w**2 + 6*w**2 + 52*w - u*w = 0. Calculate w. -2, 1 Suppose 3 = 6*m - 7*m. Let s(t) = 2*t**4 + 5*t**3 - 42*t**2 + 58*t - 17. Let q(b) = -b**4 + b**2 + b + 1. Let v(p) = m*q(p) + s(p). Let v(k) = 0. Calculate k. -4, 1 Find x such that -1/6 + 1/6*x**5 - 1/2*x - 1/3*x**2 + 1/3*x**3 + 1/2*x**4 = 0. -1, 1 Let b be (-6 - -3)/((-1)/3). Let v be (198/(-55) - 3/(-5)) + 23. Find d, given that -15*d + 3*d**3 + 6*d**4 - v*d**4 + 11*d**4 + b*d**2 + 6 = 0. -2, 1 Solve -15/4*j**4 - 225/2*j**2 - 120*j - 40 - 145/4*j**3 = 0. -4, -1, -2/3 Suppose -10 = a + 2. Let f be ((-3)/(-4))/((-3)/a). Factor 3*m**2 - m**f + 4*m**4 + 0*m**2 + m - 5*m**4 + 0 - 2. -(m - 1)**2*(m + 1)*(m + 2) Let j(p) be the first derivative of p**7/210 - p**6/30 + p**5/60 + p**4/4 + 19*p**2/2 - 14. Let o(d) be the second derivative of j(d). Factor o(t). t*(t - 3)*(t - 2)*(t + 1) Let x(z) be the third derivative of -z**6/72 - 11*z**5/36 - 95*z**4/72 - 5*z**3/2 + 170*z**2. Factor x(d). -5*(d + 1)**2*(d + 9)/3 Let b(i) = i**3 - 7*i**2 - 7*i + 4. Let n be b(8). Suppose 4*y + n = h, 7*h + 3*y - 14 = 2*h. Factor -5*l + 2*l**2 + 5*l + h + 0*l + 6*l. 2*(l + 1)*(l + 2) Let q = 3/5 - 3/55. Find p such that -4/11 + 4/11*p**2 - q*p = 0. -1/2, 2 Let a(j) be the first derivative of 2/3*j**2 - 8/9*j - 4/27*j**3 - 34. Suppose a(q) = 0. Calculate q. 1, 2 Let c(i) be the second derivative of 0*i**3 + 1/48*i**4 - 4*i + 0 + 1/240*i**5 + 3/2*i**2. Let n(x) be the first derivative of c(x). Let n(p) = 0. Calculate p. -2, 0 Suppose -2*j - 3*i + 8*i = 1, -4*i = -5*j + 6. Suppose -5*c + 8 - 4*c**j - 3 - 3 - c**3 - 4 = 0. What is c? -2, -1 Let j(s) be the second derivative of 2*s**7/189 - s**6/45 - 19*s**5/90 + s**4/3 + 44*s**3/27 - 8*s**2/3 - 515*s. Determine h, given that j(h) = 0. -2, 1/2, 2, 3 Let g(d) be the first derivative of 2/13*d**3 - 16 + 0*d + 2/39*d**6 - 2/13*d**4 - 6/65*d**5 + 2/13*d**2. Find a such that g(a) = 0. -1, -1/2, 0, 1, 2 Let n(m) be the second derivative of -m**5/12 - 5*m**4/4 - 15*m**3/2 + m**2 + 8*m. Let v(y) be the first derivative of n(y). Solve v(c) = 0 for c. -3 Let x(s) = 12*s**4 - 20*s**3 - 24*s**2 - 16*s - 32. Let q(v) = -v**4 + v + 2. Let y(n) = 16*q(n) + x(n). Factor y(i). -4*i**2*(i + 2)*(i + 3) Let t(y) = y**2 + y + 1. Let b be t(-2). Determine h, given that -2*h - h**3 + 39*h**2 + b*h + 2 + 0*h**3 - 41*h**2 = 0. -2, -1, 1 Let b(j) = 9*j**2 - 2*j - 2. Let u be b(-1). Find q such that -24*q - 19 + 172 + q**2 - u = 0. 12 Let y be (-70)/30*16/(-56). Let s(a) be the second derivative of 2/15*a**6 + 0 - 1/5*a**5 + 0*a**2 - 3*a + y*a**3 - 1/3*a**4. Factor s(o). 4*o*(o - 1)**2*(o + 1) Let n(t) be the first derivative of -9 - 1/2*t**3 + 0*t**2 + 1/4*t**4 - 8*t. Let u(j) be the first derivative of n(j). Find l, given that u(l) = 0. 0, 1 Let i be 0/(4 + -1 - 1). Let z(t) be the second derivative of -57/80*t**5 + i - 5*t - 7/40*t**6 + 3/4*t**2 - 15/16*t**4 - 1/8*t**3. Find f such that z(f) = 0. -1, 2/7 Let m = -336 - -339. Let f(i) be the first derivative of 2 + 2/3*i + 1/2*i**2 + 0*i**m - 1/12*i**4. Solve f(s) = 0 for s. -1, 2 Let a(i) be the second derivative of i**8/252 - i**6/45 + i**4/18 - 7*i**2/2 + 3*i. Let z(x) be the first derivative of a(x). Factor z(f). 4*f*(f - 1)**2*(f + 1)**2/3 Factor -180/7*d - 4/7 - 176/7*d**2. -4*(d + 1)*(44*d + 1)/7 Let k(y) be the second derivative of -y**4/18 - 10*y**3/9 - 25*y**2/3 + y - 24. Let k(x) = 0. What is x? -5 Let z(w) = -11*w - 6. Let u be z(-2). Suppose u*q = 13*q + 6. Suppose 4/3*f**5 + 2/3*f**q + 0 - 2*f**3 + 2/3*f - 2/3*f**4 = 0. What is f? -1, -1/2, 0, 1 Let d be 1 - 6/3 - -3. Factor 13*y - 6*y**2 - 3*y - y**d + 2*y**2. -5*y*(y - 2) Let q(p) be the second derivative of -p**6/10 - 51*p**5/10 - 289*p**4/4 + p + 32. Factor q(u). -3*u**2*(u + 17)**2 Let x be ((-1)/(-1) + -1)*(-3)/9. Suppose 73*d - 69*d - 12 = x. Suppose 1/3*q**d + 0 + 0*q - 1/3*q**2 = 0. Calculate q. 0, 1 Factor 67*d + 172*d**3 - 392 + 636*d**2 + 17*d - 200*d**4 + 212*d**4. 4*(d + 1)*(d + 7)**2*(3*d - 2) Let a be (-3 + 36)*1 + 6/(-2). Let g be a/75 - (-6)/10. Factor -3/2*z + 5/2*z**2 - g. (z - 1)*(5*z + 2)/2 Let f(r) be the third derivative of r**5/36 + 35*r**4/3 + 1960*r**3 - 2*r**2 - 13. Determine p so that f(p) = 0. -84 Factor 0 - 2/9*p**4 + 16/9*p - 8/3*p**2 + 4/3*p**3. -2*p*(p - 2)**3/9 Suppose -9*n = -13*n + 12. Solve 10*p**n + 5*p**4 - 29*p**3 + 14*p**3 + 5*p - 5*p**2 = 0. -1, 0, 1 Let q(a) be the second derivative of 3*a**5/100 - a**4/5 - 11*a**3/10 - 9*a**2/5 + 2*a - 115. Suppose q(n) = 0. What is n? -1, 6 Let i be (171 - 155) + (-49)/4. Factor 5 + 0*h - i*h**2 - 5/4*h**3. -5*(h - 1)*(h + 2)**2/4 Let j(p) be the second derivative of -5*p**7/42 - p**6/6 + 5*p**5/4 + 25*p**4/12 - 10*p**3/3 - 10*p**2 - 124*p. Let j(m) = 0. What is m? -2, -1, 1, 2 Let m(v) = -3*v**2 + 61*v - 18. Suppose -w + 0*w = 2, 5*j - 92 = -4*w. Let f be m(j). Determine z, given that -40/9*z - 8/9 - 50/9*z**f = 0. -2/5 Let x(n) be the second derivative of n**4/36 - 5*n**3/9 - 155*n. Suppose x(b) = 0. What is b? 0, 10 Let c(o) be the third derivative of -55/4*o**4 + 0*o + 8*o**2 - 3/70*o**7 + 0 - 17/20*o**6 - 29/5*o**5 - 25/2*o**3. Solve c(h) = 0. -5, -1, -1/3 Factor 70*h**2 + 539 + 545 - 74*h - 1072. 2*(5*h - 1)*(7*h - 6) Let f(k) be the third derivative of k**7/504 - k**6/36 + k**5/6 - 5*k**4/9 + 3*k**3/2 + k**2. Let y(d) be the first derivative of f(d). Let y(x) = 0. What is x? 2 Let l(k) be the third derivative of k**7/3360 - k**6/720 + k**5/480 + 4*k**3/3 + 16*k**2. Let b(c) be the first derivative of l(c). Factor b(s). s*(s - 1)**2/4 Let l be (-12)/(-9)*4*105/70. Let h(q) be the second derivative of 0*q**2 - 2/15*q**6 + 2/3*q**4 + 1/5*q**5 - l*q + 0*q**3 + 0. Solve h(c) = 0 for c. -1, 0, 2 Let o(y) = y**3 + 20*y**2 - 108*y - 7. Let m(q) = q**3 +
{ "pile_set_name": "DM Mathematics" }
c**2/2 + 8*c + 127. Let g(r) = -r**3 + r**2. Let k(l) = -3*g(l) - j(l). Factor k(h). (h + 1)*(h + 8)*(4*h - 1) Let l(m) be the first derivative of 5*m**4/4 - 190*m**3/3 + 1375*m**2/2 - 2030*m + 4989. Determine f so that l(f) = 0. 2, 7, 29 Suppose -55 = -2*b - 5*h, -872*h + 868*h = -28. Factor -b*k + 2/5*k**2 + 48/5. 2*(k - 24)*(k - 1)/5 Let h be (2/(-24)*30)/(25/(-20)). Let i(t) be the second derivative of t + 5/6*t**3 + 0 + 1/12*t**4 - 3*t**h. What is c in i(c) = 0? -6, 1 Let d be -40 - 1 - 54766/(-788). Let -3*r**2 + d - 111/2*r = 0. What is r? -19, 1/2 Let 10609/2 + 1/4*c**3 + 11021/4*c + 52*c**2 = 0. What is c? -103, -2 Suppose 17*t = -7*t + 13032. Let v = t + -541. Factor 0*b + 3/5*b**3 + 0*b**v + 0. 3*b**3/5 Let j(k) be the first derivative of 110 + 5/6*k**3 - 1/8*k**4 + 0*k - k**2. Let j(v) = 0. What is v? 0, 1, 4 Let n(d) = 15*d**4 + 8*d**3 - 37*d**2 - 182*d + 252. Let t(x) = 2*x**4 - x**2 + 6*x + 1. Let c(y) = -3*n(y) + 21*t(y). Determine o so that c(o) = 0. -7, 1, 5 Solve 87*k - 1445 + 141*k - 4*k**2 + 1221 = 0 for k. 1, 56 Let d = -235 + 238. Factor d*i**3 - 14 - 15*i**4 - 66*i + 4*i**5 + 18 + 51*i**2 - i**5 + 20. 3*(i - 4)*(i - 1)**3*(i + 2) Let b(i) be the first derivative of -i**2/2 - i + 24. Let v(r) = -r**2 - 2*r - 1. Let k(c) = -30*b(c) - 5*v(c). Factor k(l). 5*(l + 1)*(l + 7) Factor -2/3*t**3 + 0 + 166/3*t - 164/3*t**2. -2*t*(t - 1)*(t + 83)/3 Let g(a) be the second derivative of -2*a**7/21 - 4*a**6/15 + a**5/5 + 2*a**4/3 - 467*a. Determine b, given that g(b) = 0. -2, -1, 0, 1 Suppose -95/2 - 51/4*i**2 - 257/4*i + 17/4*i**3 + 1/4*i**4 = 0. Calculate i. -19, -2, -1, 5 Let p(s) = s - 12. Let c be p(0). Let b = 15 + c. Find n such that 17*n**2 + 4*n - 3 + 33*n**3 + b*n**4 - n + 9*n**4 + 10*n**2 = 0. -1, 1/4 Factor 160/19 + 2/19*g**2 - 36/19*g. 2*(g - 10)*(g - 8)/19 Let x(c) be the second derivative of -c**8/3360 - c**7/252 + c**6/45 + 4*c**5/5 + 13*c**4/12 + 54*c. Let a(l) be the third derivative of x(l). Factor a(u). -2*(u - 3)*(u + 4)**2 Suppose -3*s = -2*b + 29, 2*s - 3*s - 33 = -3*b. Factor -981*r + 480*r + b*r**2 + 487*r + 4. 2*(r - 1)*(5*r - 2) Let a be (1 + 0)/((-4)/(-16)). Find g such that 15*g**4 + 21*g**4 - 8*g - 10*g**3 + 16*g**2 - 34*g**a = 0. 0, 1, 2 Solve -110/9*j**5 + 52/3*j**4 - 16/3*j**2 + 10/9*j**3 - 8/9*j + 0 = 0 for j. -2/5, -2/11, 0, 1 What is l in 274/5*l + 0 - 272/5*l**2 - 2/5*l**3 = 0? -137, 0, 1 Let n(t) = 6*t**3 + 324*t**2 + 1278*t + 1251. Let k(g) = -7*g**3 - 323*g**2 - 1280*g - 1248. Let h(y) = -3*k(y) - 4*n(y). Factor h(b). -3*(b + 2)**2*(b + 105) Factor -3338*b - 6012*b - 3*b**4 - 14*b**3 - 2*b**4 + 202*b**3 - 38*b**3 + 30345 - 660*b**2. -5*(b - 17)**2*(b - 3)*(b + 7) Let j(g) = -191*g**3 - 195*g**2 + 1009*g. Let r(w) = 69*w**3 + 65*w**2 - 336*w. Let b(i) = -4*j(i) - 11*r(i). Let b(t) = 0. Calculate t. -17, 0, 4 Let w be ((-3)/5)/(((-3054)/(-30))/(-1)). Let r = 6093/2545 + w. Factor 16/5 + 2/5*c**2 - r*c. 2*(c - 4)*(c - 2)/5 Let f(o) be the second derivative of o**6/135 + 13*o**5/90 + 29*o**4/27 + 4*o**3 + 8*o**2 - 895*o. Factor f(i). 2*(i + 2)**2*(i + 3)*(i + 6)/9 Let y(t) be the first derivative of -t**3/9 + 35*t**2/3 - 247*t + 1557. Let y(g) = 0. What is g? 13, 57 Let b(p) be the first derivative of -2*p**7/315 + 13*p**6/540 - p**5/135 + 48*p**2 + 154. Let l(k) be the second derivative of b(k). Factor l(g). -2*g**2*(g - 2)*(6*g - 1)/9 Let y(x) be the second derivative of x**3/3 + 15*x**2/2 + 21*x. Let v be y(-6). Let -6*j - 3 - v - 3*j**2 + 6 + 9 = 0. What is j? -3, 1 Let -75*h + 2*h**3 + 0 - 599/2*h**2 = 0. What is h? -1/4, 0, 150 Suppose -9 + 7 = 2*c + 3*h, -4*h = 5*c - 2. Factor 28*i**3 + 31*i**3 - 650*i**c + 17*i**3 + 33*i**3 + 645*i - 180 + 16*i**3. 5*(i - 4)*(5*i - 3)**2 Determine k, given that -29205536/3 - 115240/3*k**3 - 7755344/3*k**2 - 1/3*k**5 - 586/3*k**4 - 29657168/3*k = 0. -194, -2 Let l(x) be the third derivative of -x**8/2016 - 2*x**7/45 - 121*x**6/120 + 203*x**5/45 - 841*x**4/144 - 303*x**2. Factor l(u). -u*(u - 1)**2*(u + 29)**2/6 Let c = -7661 + 7661. Let l(w) be the third derivative of 0*w + 1/40*w**6 + 0*w**3 + 1/140*w**7 + 0*w**4 + c*w**5 + 0 + w**2. Factor l(s). 3*s**3*(s + 2)/2 Suppose 597 = 686*y - 775. Factor 4/3 + 1/6*i**3 + i**y - 5/2*i. (i - 1)**2*(i + 8)/6 Let z(d) be the second derivative of d**6/50 - 61*d**5/100 + 19*d**4/15 - 3*d - 64. Factor z(k). k**2*(k - 19)*(3*k - 4)/5 Suppose 4*s + 3*w = 8*s, 4*w = 5*s + 1. Factor 22*a + 22*a + 26*a + 6*a**2 + s*a**3 - 67*a. 3*a*(a + 1)**2 Let w(x) be the first derivative of -4*x**3/15 + 346*x**2/5 - 1368*x/5 - 1838. Solve w(b) = 0 for b. 2, 171 Let p(a) = -a**2 + 3*a + 74. Let m be p(8). Determine o, given that 72 + 74*o + 124*o + 104*o - 118*o**2 + m*o + 10*o**3 = 0. -1/5, 6 Let b(n) be the first derivative of n**4/2 - 448*n**3/3 - 908*n**2 - 1824*n + 2751. Factor b(o). 2*(o - 228)*(o + 2)**2 Suppose -346*v + 306*v + 120 = 0. Let b(t) be the second derivative of -31*t + 0*t**v + 0*t**2 - 2/3*t**4 + 1/5*t**5 + 0. Find d such that b(d) = 0. 0, 2 Let k = -19 + 79. Suppose 0 = -3*i - 2*i + k. Find t, given that -22*t + i + 2 + 10 + 4*t**2 - 6*t = 0. 1, 6 What is u in -7*u**2 + 221/4*u + 1/4*u**3 - 169/2 = 0? 2, 13 Let r(c) be the first derivative of -80/21*c**3 + 4/7*c**2 + 117/14*c**4 - 162/35*c**5 + 34 + 0*c. Factor r(p). -2*p*(p - 1)*(9*p - 2)**2/7 Let p(q) = -q**2 - 33*q - 356. Let g(b) = -b**2 - 34*b - 357. Let j be (4 + -7 - -5)*5/(-2). Let d(n) = j*g(n) + 4*p(n). Determine a so that d(a) = 0. -19 Let h be (196/35 - 5)*(-244)/(-366). What is s in 10 - 4*s + h*s**2 = 0? 5 Let z(c) = -c**2 - 4*c + 2. Let i be z(-4). Let v be i/(32/12 + -2). Factor -d**v + 3*d**3 - 2*d**3 - d**3 + d. -d*(d - 1)*(d + 1) Suppose 31*x = 28*x - 441. Let f be -3 + (-448)/x + (-2)/(-7). Suppose f + s + s**2 + 1/3*s**3 = 0. Calculate s. -1 Let h(u) be the first derivative of 0*u - 115/4*u**4 - 10/3*u**3 + 0*u**2 + 25*u**5 - 190. Factor h(t). 5*t**2*(t - 1)*(25*t + 2) Let u(c) be the first derivative of -c**4/24 + c**3/6 + 25*c**2/3 - 50*c - 1699. Factor u(o). -(o - 10)*(o - 3)*(o + 10)/6 Let f(c) be the second derivative of -3/20*c**5 + 0*c**2 - 12*c**4 + 0*c**3 + 0 - 198*c. Factor f(l). -3*l**2*(l + 48) Let x = -1945 - -15563/8. Let a(k) be the third derivative of 0*k + 0 + x*k**4 + k**3 + 1/20*k**5 + 8*k**2. Factor a(s). 3*(s + 1)*(s + 2) Let r(m) = 2*m**3 + 38*m**2 + 958*m + 868. Let d(l) = l**3 + 39*l**2 + 953*l + 870. Let z(a) = -6*d(a) + 5*r(a). Factor z(j). 4*(j - 22)*(j + 1)*(j + 10) Let t(w) be the first derivative of 93 - 2/5*w**2 - 1/3*w**3 + 1/20*w**4 + 4*w. Factor t(d). (d - 5)*(d - 2)*(d + 2)/5 Let t(a) = -a**2 + 324*a + 319. Let y(p) = -2*p**2 + 651*p + 640. Let b(s) = 13*t(s) - 6*y(s). Factor b(i). -(i - 307)*(i + 1) Let i = 419/1945 - 6/389. Let p(f) be the third derivative of i*f**4 - 17*f**2 - 4/15*f**3 + 0*f + 7/150*f**5 + 0. Factor p(l). 2*(l + 2)*(7*l - 2)/5 What is c in 21*c**4 - 1/7*c**5 + 0 - 145/7*c**3 - 21*c**2 + 146/7*c = 0? -1, 0, 1, 146 Let q(c) be the third derivative of -c**7/525 + c**6/150 - c**4/30 + c**3/15 - 28*c**2 - 17*c + 2. Factor q(w). -2*(w - 1)**3*(w + 1)/5 Let p be 309/3*1/1. Suppose 2*j + 48 = x, 2*x - 3*j + 3 = p. Factor -o - x*o + 9*o**2 + 24*o + 18. 3*(o - 3)*(3*o - 2) Let n(h) be the first derivative of -4*h**5/35 - 16*h**4/7 - 8*h**3 - 80*h**2/7 - 52*h/7 - 1806. Factor n(f). -4*(f + 1)**3*(f + 13)/7 Factor -4/3*j**3 - 8*j**2 + 0 - 32/3*j. -4*j*(j + 2)*(j + 4)/3 Let x(p) = -p**3 + 36*p**2 + 117*p + 27. Let t be x(39). Let z = 7 - 4. Find v such that -9*v + 44*v**3 + 0*v + 47*v**z - 94*v**3 + 15*v**2 - t = 0. -1, 3 Let m(i) be the first derivative of i**4/2 - 2*i**3/3 - 86*i**2 - 528*i + 7228. Factor m(w). 2*(w - 11)*(w + 4)*(w + 6) Let l be 2/(3 - 23) - 3/(-5). Let a = -20048 - -20050. Factor 3/2 - l*k**a + k. -(k - 3)*(k + 1)/2 Let u(m) be the first derivative of -m**6/30 - 2*m**5/5 - 3*m**4/2 - 22*m**2 - 63. Let q(w) be the second derivative of u(w). Find k such that q(k) = 0. -3, 0 Suppose 2*d = -u - 163, -131 = 2*d + 2*u + 35. Let l be (81 + d)*6/2. Let 4/3*m + 20/3*m**2 - 70/3*m**4 - m**l + 49/3*m**5 + 0 = 0. Calculate m. -2/7, 0, 1 Let z be 6/(-10) + -8 + 4347/495. Suppose -5*i = -3*o - 14, -o = -3*o + 5*i - 16. Factor -z + 4/11*h**o + 0*h - 2/11*h**4 + 0*h**3. -2*(h - 1)**2*(h + 1)**2/1
{ "pile_set_name": "DM Mathematics" }
*2 - 21. Let k(j) = -3*j**2. Determine k(m(o)). -3*o**4 - 126*o**2 - 1323 Let q(a) = -25*a. Let g(r) = -r. Give q(g(b)). 25*b Let y(v) = -13*v**2. Let n(j) = -j - 13*j - 6*j + 16*j. Give y(n(h)). -208*h**2 Let f(w) = -w**2. Let r(t) = -t**2 + 11*t - 8. Let a be r(10). Let s(n) = n**2 + n**2 - n**a. Calculate f(s(v)). -v**4 Let x(f) = 2*f**2 - 187*f - 3. Let v(o) = o**2. What is x(v(k))? 2*k**4 - 187*k**2 - 3 Let q(s) = -2*s. Let c(j) = -38*j**2 + 9*j + 9. Let r(p) = 19*p**2 - 4*p - 4. Let o(w) = -4*c(w) - 9*r(w). Determine o(q(l)). -76*l**2 Let c(d) = -9*d**2 + 2*d**2 + 5*d**2. Let g(l) = -10*l. Determine g(c(m)). 20*m**2 Let l(c) = 4*c**2. Let q(d) = 2*d + 33. What is l(q(b))? 16*b**2 + 528*b + 4356 Let w(p) = 3*p. Let n(h) = 6*h + 2*h + h - h. Determine n(w(r)). 24*r Let b(o) = -2*o**2. Let f(y) = 4*y**2 + 1 - y**2 - 4*y**2 - y. Let q(d) = d - 1. Let m(g) = f(g) + q(g). Determine b(m(v)). -2*v**4 Let p(i) = 7*i - 6*i - 2*i. Let v(z) = -5*z**2. What is p(v(n))? 5*n**2 Let b(v) = 5*v**2 - 6*v. Let t(p) = -p**2 + p. Let d(j) = b(j) + 6*t(j). Let w(u) = u. Let g(h) = -2*h. Let q(s) = -3*g(s) - 2*w(s). Calculate q(d(k)). -4*k**2 Let z(b) be the third derivative of b**4/24 + 10*b**2. Let t(q) = 12*q**2. Give z(t(y)). 12*y**2 Let u(l) = -232 + 4*l**2 + 232. Let r(m) be the second derivative of -m**5/30 - m**2/2 + m. Let w(x) be the first derivative of r(x). Give u(w(c)). 16*c**4 Let j(g) = 48894*g**2. Let v(k) = 2*k. Calculate v(j(m)). 97788*m**2 Let j = 17 + -11. Let v(d) = -j + 6 + d. Let c(y) = -y**2. Give c(v(a)). -a**2 Let b(g) = 3*g**2. Let h(o) be the second derivative of -5*o**3/6 + 54*o. Calculate b(h(t)). 75*t**2 Let d(m) = 1213*m. Let k(a) = 3*a**2. Calculate d(k(u)). 3639*u**2 Let u(y) = 174*y + 1. Let s(o) = 2*o. Determine u(s(d)). 348*d + 1 Let o(u) be the third derivative of 0*u**4 + 0 + 0*u**3 + 0*u - 1/30*u**5 - 2*u**2. Let d(i) be the first derivative of -3*i**2/2 - 1. Calculate d(o(h)). 6*h**2 Let i(a) = 2*a. Suppose 5*j - j - 12 = 0. Let w(n) = n**2 - j*n + 4*n - n. Give i(w(z)). 2*z**2 Let t(z) = 4*z + z - 3*z. Let v(q) = 4*q**2 - 2*q - 2. Let k(w) = -9*w**2 + 5*w + 5. Let r(u) = -2*k(u) - 5*v(u). Calculate r(t(g)). -8*g**2 Let u(h) be the third derivative of 0*h + 1/15*h**5 + 0*h**3 + 0*h**4 + 2*h**2 + 0. Let n(j) = -2*j**2. Determine n(u(d)). -32*d**4 Suppose -6*i - i + 3*i = 0. Let p(u) be the second derivative of 2*u + i*u**2 + 1/3*u**3 + 0. Let s(k) = -2*k**2. Give s(p(n)). -8*n**2 Let d(p) = -8*p + 83. Let t(f) = -f. Determine t(d(u)). 8*u - 83 Let k(l) = -l**3 + l**2 + l + 1. Let t be k(-1). Let f(j) = 2 - 4 + t + 2*j. Let y(m) = 3*m. Give f(y(r)). 6*r Let t(i) = 0*i + 3*i - 5*i - i. Let x(u) = u. Give t(x(q)). -3*q Let q(c) = 27*c. Let x(o) = -4*o. What is x(q(h))? -108*h Let z(t) = -124*t**2. Let q(a) = 3*a**2. Determine q(z(n)). 46128*n**4 Let o(z) = -z - 4*z + 3*z. Let p(t) = -t. Let d(a) = -a**2 - a. Let s = -3 - -5. Let j(r) = s*p(r) - 2*d(r). Give o(j(m)). -4*m**2 Let t(c) = -c. Let m(l) = 1. Let j(b) = -5*b + 20. Let f(s) = j(s) - 20*m(s). Calculate f(t(q)). 5*q Let i(b) be the second derivative of 0 + 0*b**2 + 2*b + 1/6*b**3. Let v(f) = -11*f**2 + 7. Let t(h) = 6*h**2 - 4. Let y(j) = 7*t(j) + 4*v(j). Calculate i(y(x)). -2*x**2 Let w(k) be the first derivative of -k**2 + 40. Let j(s) be the second derivative of -s**4/6 - s. What is j(w(t))? -8*t**2 Let z(f) = 3*f**2. Let w(r) = 7*r + 6. Let k(d) = 20*d + 17. Let h(b) = -6*k(b) + 17*w(b). Give z(h(v)). 3*v**2 Let t(p) = 8*p. Let w(g) = 2486*g. Determine t(w(m)). 19888*m Let q = -14 - -8. Let h(b) = 4*b**2 - 5*b + 5. Let n(z) = 5*z**2 - 6*z + 6. Let v(u) = q*h(u) + 5*n(u). Let t(o) = o**2. Calculate t(v(l)). l**4 Let s(n) be the second derivative of -n**4/12 - 5*n. Let x(u) = u**2 - u**2 + u**2. Determine s(x(i)). -i**4 Let x(j) = -2*j. Let q(k) = -70*k. Determine q(x(w)). 140*w Let k(v) be the first derivative of -83*v**3/3 - 11. Let g(p) = 2*p**2. Calculate k(g(x)). -332*x**4 Let w(f) = -65*f**2. Let o(n) = n - 2. Let b(a) = 10*a - 24. Let d(v) = b(v) - 12*o(v). Determine d(w(z)). 130*z**2 Let r(d) = 3*d. Let n be 70/(-20)*(-4 + 0). Let o(h) = -n*h**2 + 22*h**2 - 11*h**2. What is o(r(u))? -27*u**2 Let x(v) = -567*v. Let z(i) = -i. Give x(z(h)). 567*h Let f(k) = -2*k**2 - 33*k. Let m(x) = 2*x. Give f(m(i)). -8*i**2 - 66*i Let a(q) = 2*q**2. Suppose 0 = 3*i - 2*h - 4, -3*h + 2 = -1. Let d(z) = 0*z - 2*z + i - 2. Determine d(a(o)). -4*o**2 Let o(x) = x - 7*x + x. Let z(l) = -2*l**2. Calculate z(o(p)). -50*p**2 Let m(b) = -2*b**2 - 15*b. Let a(u) = -3*u. What is m(a(n))? -18*n**2 + 45*n Let l(s) = 0*s**2 + 0*s**2 - s**2. Suppose 0 = -v + 2*v - 3. Let b(o) = v*o + o + o - 4*o. Give b(l(k)). -k**2 Let m(g) be the first derivative of -g**2 + 15. Let h(n) = 69*n**2. Calculate h(m(q)). 276*q**2 Let h(c) = 2*c**2 - 12. Let g(j) = -38*j. Calculate g(h(p)). -76*p**2 + 456 Let i = 6 - 2. Let g(j) = -6*j + i*j - 3*j. Let u(n) = -n**2 + 4*n**2 + 0*n**2 - 2*n**2. Give u(g(x)). 25*x**2 Suppose 9*q - 5*q - 16 = 0. Let u(w) = -q*w + 4*w + 2*w. Let c(j) = 2*j + 4 - 4. Calculate c(u(f)). 4*f Let q(j) = -27*j. Let r(t) = 61*t**2 + 1. Determine r(q(u)). 44469*u**2 + 1 Let y(c) = -c**2. Let u(l) = 3*l + 7. Let r(o) = o + 2. Let s be 61/3 - (-2)/3. Let h(z) = s*r(z) - 6*u(z). What is h(y(v))? -3*v**2 Let d(r) = 490 + 2*r**2 - 490. Let k(o) = -12*o**2 + 2*o - 2*o. Give d(k(x)). 288*x**4 Let c(t) = t. Let p(f) = -111*f**2. Give c(p(q)). -111*q**2 Let w(x) = -4*x - 5*x + 11*x. Let k(f) be the second derivative of 5*f**4/12 - f. What is k(w(r))? 20*r**2 Let n(b) = b. Let z(y) = 5*y**2 - 6*y - y**2 - 6*y**2 + 0*y. Let c(h) = -h. Let m(o) = 6*c(o) - z(o). Give m(n(v)). 2*v**2 Let z(o) = -3*o. Suppose 0 = 2*g + 2*t + 2 + 4, -5*t = -5*g + 15. Suppose l = 2*i + 14, i + g = -5. Let x(p) = 0*p**2 + 2*p**2 - l*p**2. Give x(z(w)). -18*w**2 Let u(p) = 3*p**2 - 12*p. Let h(d) = -d**2 + 5*d. Let m(i) = -12*h(i) - 5*u(i). Let k(t) = -6*t**2 - t**2 + 12*t**2. Give m(k(g)). -75*g**4 Let k(h) = h - 2. Let a be k(-2). Let r(f) = -8*f**2 + 4*f - 4. Let b(l) = -9*l**2 + 5*l - 5. Let p(x) = a*b(x) + 5*r(x). Let i(u) = -2*u. Determine i(p(t)). 8*t**2 Let v(d) = 2*d**2 - 47. Let g(l) = 2*l**2. What is g(v(s))? 8*s**4 - 376*s**2 + 4418 Suppose -2*y + 0*y + 14 = w, -3*w - 3 = -3*y. Suppose 18 = y*r - 2. Let o(s) = 3*s**2 + r*s**2 - 5*s**2. Let c(t) = 2*t**2. Calculate c(o(d)). 8*d**4 Let y(s) = 4*s. Suppose -12 = -0*x - 3*x. Let b = 30 - 21. Let h(f) = -2*f + 9. Let o(i) = i - 4. Let r(z) = b*o(z) + x*h(z). Give r(y(a)). 4*a Let g(u) = -u**2 + 1. Let f(v) be the second derivative of 3*v**4/2 - 15*v**2/2 + 2*v. Let y(i) = -f(i) - 15*g(i). Let k(w) = 2*w. Calculate y(k(j)). -12*j**2 Let b(x) = 3 + 3 - x - 4. Let y be b(0). Let f(k) = k - y*k + 0*k. Let d(j) = j**2. Calculate f(d(g)). -g**2 Suppose v - 5 + 1 = 0. Suppose 8 = -v*s - 0, -2*s = -x + 10. Let o(w) = x*w**2 - 2*w**2 - 2*w**2. Let q(r) = -4*r. Determine q(o(n)). -8*n**2 Let f(o) = -2*o**2 - 4*o**2 + 7*o**2 - 3*o**2. Let k(h) = 6*h. Let n(d) = 2*d. Let z(g) = -4*k(g) + 11*n(g). Determine z(f(c)). 4*c**2 Let a(u) be the third derivative of -1/24*u**4 - 4*u**2 + 0*u**3 + 0*u + 0. Let f(p) = -3*p. Give f(a(c)). 3*c Let i(x) = -131*x - 2. Let u(h) = 27*h**2. Determine i(u(s)). -3537*s**2 - 2 Suppose -3*c + 3*n = -3, -3*n = 5*c - 1 - 12. Let r(p) be the first derivative of -2*p**2 - 4*p**2 + 6*p**2 + p**c - 3. Let i(o) = -3*o**2. Calculate r(i(y)). -6*y**2 Let t(l) = l**2 - 13*l. Let g(w) = -9*w. Calculate t(g(d)). 81*d**2 + 117*d Let y(h) = h + 1. Let j be y(1). Let b(n) = 3*n - j*n + n. Let f(c) be the first derivative of c**3 - 2. Calculate f(b(t)). 12*t**2 Let v(x) = -5*x. Let o(i) = 7*i**2 - 9*i**2 + 1 - 1. Give o(v(d)). -50*d**2 Suppose -5*b - 15 = -3*l, -6 - 9 = -2*l + 5*b. Let d(n) = 0 + l - n**2. Let c(w) = -w. Determine d(c(y)). -y**2 Let t be ((-3)/(-2))/(1/2). Let k = 6 - t. Let f(s) = -4*s + k*s - 3*s. Let h(v) = -v. Determine f(h(a)). 4*a Let t(k) be the first derivative of 10*k**2 - 17. Let q(r) = -4*r. Determine t(q(s)). -80*s Let i(m) = -m**2. Let c(w) = -3609*w**2. Calculate c(i(j)). -3609*j**4 Let p(v) = -v**2. Let m = 1 + 1. Suppose -m*a + 6 = 2. Let q(f) = 2*f**2 + 3*f**a - 3*f**2. Give p(q(g)). -4*g**4 Let j(f) = f + 2. Suppose -o - 2*o
{ "pile_set_name": "DM Mathematics" }
*3 + 6*p**2 - 6*p - 4. Determine v(5). -9 Let p(r) = r**3 - 12*r**2 + 4*r - 7. Determine p(12). 41 Let o(t) = -2*t**2 - 23*t + 17. What is o(-12)? 5 Let m(b) = -16*b + 211. Give m(13). 3 Let q(p) = 6*p + 83. Calculate q(-13). 5 Let s(d) = d**2 - 39*d - 20. Determine s(39). -20 Let j(c) = 3*c**2 - c - 3. What is j(-3)? 27 Let u(s) = 13*s - 7. What is u(2)? 19 Let y(o) = 4*o**2 + 21*o + 4. What is y(-4)? -16 Let g(u) = u**3 + 13*u**2 + 17*u - 44. Calculate g(-11). 11 Let n(t) = 4*t + 16. Determine n(-5). -4 Let b(p) = -p**2 + p + 12. Calculate b(5). -8 Let r(n) = -4*n**3 + 4*n**2 + 2*n - 2. Determine r(-2). 42 Let m(a) = -3*a + 6. Determine m(6). -12 Let r(p) = p**3 + 18*p**2 - 39*p + 18. Give r(-20). -2 Let l(y) = y**2 + y - 33. What is l(10)? 77 Let h(f) = -f**2 - 11*f + 624. What is h(-31)? 4 Let n(c) = -c**2 - 6. Determine n(-7). -55 Let y(g) = g - 9. Determine y(12). 3 Let j(d) = -d**2 + 17*d + 32. Determine j(13). 84 Let b(j) = j**2 - 33*j + 40. What is b(32)? 8 Let t(y) = -y**2 - 4*y - 5. Determine t(-3). -2 Let f(g) = 2*g**3 + 42*g**2 - 43*g + 38. Give f(-22). 16 Let l(u) = -3*u**3 - u + 2. What is l(1)? -2 Let z(y) = -y**3 - 12*y**2 - 13*y - 23. Determine z(-10). -93 Let i(r) = -r**3 + 13*r**2 + 2. What is i(13)? 2 Let j(y) = -y**3 - 52*y**2 - 276*y + 54. Determine j(-46). 54 Let v(g) = -5*g**3 + 11*g**2 + 6*g - 7. Determine v(4). -127 Let d(j) = j**3 + 7*j**2 - 3*j - 17. Give d(-7). 4 Let l(r) = -4*r - 4. Calculate l(-3). 8 Let u(w) = w**2 - 5*w - 11. What is u(8)? 13 Let o(v) = -v + 37. Determine o(0). 37 Let o(n) = 3*n - 1. What is o(2)? 5 Let r(z) = z**2 - 23*z + 95. Give r(18). 5 Let x(b) = -b**3 + 9*b**2 - 25*b + 87. What is x(7)? 10 Let y(u) = u**3 - 7*u**2 + 2*u + 8. Give y(7). 22 Let t(l) = -5*l - 84. What is t(-19)? 11 Let u(q) = q**2 + 2*q - 8. Determine u(-6). 16 Let u(i) = i**3 + 9*i**2 - 2*i - 16. Calculate u(-9). 2 Let m(v) = v**2 + 14*v + 9. Calculate m(-9). -36 Let z(u) = -u**3 - 9*u**2 + 7. Determine z(-9). 7 Let f(z) = 2*z + 89. What is f(-51)? -13 Let i(t) = -2*t**2 + 10*t + 33. Determine i(6). 21 Let h(t) = t**3 + 13*t**2 - 16*t - 10. Determine h(-14). 18 Let l(j) = -j + 5. Give l(5). 0 Let s(j) = -6*j - 19. What is s(-9)? 35 Let s(r) = r**3 + 10*r**2 + 3*r. Determine s(-10). -30 Let c(g) = -g**3 + 9*g**2 - 14*g - 1. Give c(7). -1 Let g(q) = 25*q + 67. Calculate g(-3). -8 Let x(v) = v**2 - 15*v - 5. Give x(16). 11 Let y(m) = -2*m**2 + 127*m + 201. Give y(65). 6 Let y(x) = -12*x**2. Give y(-1). -12 Let t(z) = 3*z**2 + 5*z. Give t(-4). 28 Let d(x) = -7*x - 111. What is d(-15)? -6 Let a(i) = 21*i + 2. Determine a(1). 23 Let g(w) = -w**3 + 6*w**2 + w + 10. Calculate g(5). 40 Let a(w) = w**2 - 10*w - 8. Calculate a(8). -24 Let v(d) = 3*d + 25. Determine v(-8). 1 Let k(u) = -u**2 - 8*u - 4. Give k(-10). -24 Let s(g) = g**2 - 25*g + 115. Give s(4). 31 Let j(y) = -y**3 - 6*y**2 + 8*y - 16. What is j(-6)? -64 Let g(k) = k**3 + 11*k**2 - 48*k - 89. Give g(-14). -5 Let o(s) = s**2 + 1. Calculate o(0). 1 Let k(x) = 12*x - 2. Determine k(1). 10 Let z(g) = g**3 + g**2 - 14*g - 14. Calculate z(-1). 0 Let a(t) = t**2 - 9*t + 4. Determine a(9). 4 Let x(p) = -p + 2. Determine x(-8). 10 Let o(n) = n**2 + 21*n + 31. Give o(-15). -59 Let o(t) = -t**3 + 2*t**2 + 16*t - 7. What is o(5)? -2 Let l(s) = -2*s + 1. Calculate l(1). -1 Let v(x) = -2*x - 33. What is v(-13)? -7 Let n(i) = -i**3 - 4*i**2 - 5*i - 14. Calculate n(-3). -8 Let x(h) = h**2 - 6*h - 3. What is x(7)? 4 Let h(f) = -6*f + 6. Give h(1). 0 Let q(t) = -t**3 - 28*t**2 + 62*t + 59. What is q(-30)? -1 Let c(s) = 6*s**2 + 6*s + 2. Calculate c(-4). 74 Let l(q) = 15*q**3 + q**2 - 3*q + 1. Determine l(1). 14 Let a(h) = h**2 + 15*h + 23. Determine a(-13). -3 Let g(f) = 22*f**2 - 100*f + 100. Calculate g(1). 22 Let b(o) = -2*o**2 + 3*o + 52. Calculate b(6). -2 Let b(n) = n**2 - 4*n. Determine b(6). 12 Let p(t) = t**3 + 16*t**2 + 37*t - 1. Determine p(-2). -19 Let l(k) = -85*k + 3. Calculate l(1). -82 Let f(r) = -4*r - 43. Calculate f(-11). 1 Let d(c) = -c**3 + 11*c + 9. What is d(4)? -11 Let v(i) = -i**3 - 16*i**2 + 2*i + 35. Determine v(-16). 3 Let b(d) = -d - 1. Give b(-5). 4 Let q(c) = -2*c**2 + c + 11. Calculate q(-3). -10 Let w(i) = -i**3 - 2*i**2 + 9*i + 4. What is w(-4)? 0 Let m(h) = 2*h**2 - 10*h + 11. Determine m(4). 3 Let p(o) = -o**2 - 17*o + 9. What is p(-16)? 25 Let x(a) = -14*a - 39. Determine x(-8). 73 Let d(m) = -m**2 + m + 9. What is d(-3)? -3 Let w(m) = -6*m - 40. Calculate w(-4). -16 Let w(n) = 2*n**2 - 9*n - 19. Determine w(8). 37 Let y(n) = -10*n**3 - 3*n**2 - 10*n - 4. Calculate y(-2). 84 Let n(u) = -u + 6. Determine n(4). 2 Let l(v) = -94*v + 4. What is l(-1)? 98 Let w(l) = l**2 + 11*l - 4. What is w(-10)? -14 Let y(v) = 2*v**2 - 11*v - 92. Determine y(-5). 13 Let j(y) = y**3 - 13*y**2 + y - 17. What is j(13)? -4 Let s(q) = -2*q**3 - 6*q**2 + 2*q + 11. Give s(-3). 5 Let t(g) = -21*g - 689. Determine t(-33). 4 Let i(a) = -a**3 - 2*a**2 - 3*a - 3. Determine i(-2). 3 Let h(f) = -f**3 - 4*f**2 - 3*f - 18. Give h(-4). -6 Let t(h) = -h**2 + 14*h + 38. Calculate t(-3). -13 Let q(x) = -x**3 - 9*x**2 + x - 16. Calculate q(-6). -130 Let c(x) = -x**3 + 5*x**2 - 6. Give c(5). -6 Let x(z) = -z + 24. What is x(7)? 17 Let z(g) = -9*g**2 - 5*g. What is z(1)? -14 Let b(l) = -3*l**2 - l + 44. Determine b(-4). 0 Let t(l) = -3*l**3 - l**2 - l + 1. Calculate t(-1). 4 Let q(w) = w**3 - 16*w**2 + 11*w + 47. What is q(15)? -13 Let b(r) = -r**2 + 2*r + 24. Calculate b(6). 0 Let k(z) = 3*z**2 + 15*z - 38. Give k(2). 4 Let h(f) = -f**2 + 11*f - 4. Give h(4). 24 Let i(u) = 27*u**2 + 110*u + 10. Calculate i(-4). 2 Let x(t) = t**2 + 16*t + 67. Calculate x(-7). 4 Let s(j) = -j**2 + 10*j - 4. Calculate s(9). 5 Let z(x) = 22*x + 214. What is z(-9)? 16 Let q(f) = f**2 + 27*f - 50. Give q(-29). 8 Let m(y) = 16*y. What is m(-2)? -32 Let r(k) = k**3 - 12*k**2 + 20*k - 111. Give r(11). -12 Let k(o) = -96*o**2 - 5*o + 4. Give k(1). -97 Let w(x) = -2*x + 3. Determine w(-3). 9 Let o(p) = -p**3 + 20*p**2 - 17*p - 34. Determine o(19). 4 Let h(s) = -2*s**3 + 20*s**2 - 19*s + 12. Give h(9). 3 Let z(c) = -10*c - 64. What is z(-15)? 86 Let l(d) = -55*d - 438. Calculate l(-8). 2 Let z(g) = -20*g - 232. What is z(-13)? 28 Let d(k) = k**3 - 6*k**2 - 5*k - 8. Give d(7). 6 Let j(c) = c**3 + 10*c**2 + 2. Determine j(-9). 83 Let h(d) = -11*d - 28. What is h(-12)? 104 Let b(c) = 8*c + 95. Determine b(-11). 7 Let h(a) = -3*a + 32. Determine h(10). 2 Let s(x) = 2*x**2 + 2*x + 1. Determine s(3). 25 Let g(o) = -o**3 - 6*o**2 + 7*o. What is g(-7)? 0 Let l(n) = -3*n**2 - 3*n + 1. What is l(-3)? -17 Let i(t) = t**3 - 11*t**2 + 9*t - 2. Determine i(10). -12 Let f(t) = t**2 - t - 7. Calculate f(0). -7 Let w(g) = -25*g**2 - g + 8. Calculate w(2). -94 Let w(k) = 6*k - 2. Determine w(-4). -26 Let l(b) = 23*b**3 + b**2 - 2*b + 2. Give l(1). 24 Let p(m) = -m**2 + m + 4. Calculate p(-8). -68 Let z(r) = -8*r**2 - r + 2. What is z(1)? -7 Let t(w) = w**3 - w**2 - w. What is t(0)? 0 Let k(l) = -4*l**2 + 122*l - 66. What is k(30)? -6 Let p(w) = -35*w. What is p(-2)? 70 Let z(p) = p**3 + 15*p**2 + 50*p - 6. Calculate z(-5). -6 Let q(u) = -4*u - 35. What is q(-9)? 1 Let n(x) = x**2 + 7*x - 18. Calculate n(-9). 0 Let h(m) = -m**3 - 2*m**2 + 5*m + 6. Calculate h(-3). 0 Let z(j) = -j**3 + 7*j**2 + 6*j + 19. What is z(8)? 3 Let k(h) = h**3 - h**2 - 7*h + 1. What is k(2)? -9 Let f(t) = t**3 + 25*t**2 - 4*t - 91. What is f(-25)? 9 Let v(b) = 2*b**2 - 3*b + 74. Give v(0). 74 Let b(s) = -s**3 + 28*s - 6. What is b(5)? 9 Let b(o) = o**3 + 3*o**2 - 16*o + 11. Give b(-6). -1 Let h(u) = 2*u**2 - 8*u - 25. Give h(6). -1 Let s(y) = y**3 - 11*y**2 - 11*y - 9. What is s(12)? 3 Let l(r) = r**2 + 9*r + 9. Give l(-6). -9 Let g(y) = -2*y**2 + 2*y - 1. Give g(-4). -41 Let u(y) = y**3 + y**2 - 10*y + 5. Determine u(-4). -3 Let l(s) = s**3 - 67*s**2 + 63*s + 202. Calculate l(66). 4 Let j(y) = 2*y + 7. Calculate j(-8). -9 Let r(z) = z**2 - 10*z - 1. Determine r(9). -10 Let p(r) = -r**2 - 23*r - 50. Calculate p(-23). -50 Let o(q) = 2*q**2 + 3*q - 16. What is o(6)? 74 Let c(s) = -26*s + 2. Determine c(-6). 158 Let n(x) = 3*x - 2. What is n(1)? 1 Let s(k) = -7*k**3 - k**2 - 3*k - 1. Determine s(-1). 8 Let f(i) = -4*i**2 + 75*i - 56. Determine f(18). -2 Let h(a)
{ "pile_set_name": "DM Mathematics" }
(p) = -p**3 + 11*p**2 - 3*p. Let u be j(11). Let f = u + 75. Which is bigger: 43 or f? 43 Let r(p) = p**3 + p**2 - 14*p + 43. Let y be r(4). Are 61 and y equal? False Suppose -6*u = -7*u + 2. Suppose -3*p + f - u - 13 = 0, 2*f = -p - 5. Which is smaller: p or -3? p Let c = -103/68 - -30/17. Suppose 3*y + 23 = 4*n, -y - 7*n + 2*n = -24. Is c smaller than y? False Suppose -18*v + 6*v + 2796 = 0. Is 233 at least v? True Let y(n) = -31*n**2 + n - 3. Let w be y(1). Is -38 less than w? True Let f = 216 + -220. Is -12/5 less than f? False Let t(r) = -r + 9. Let n be t(8). Let q = -0.19 + 0.13. Let x = q + 7.06. Is x < n? False Suppose -2*g = 2*m, -2*g - 4 = -4*m + 8. Suppose 0 = -m*s + r - 23, r - 4 = s - r. Is -13 greater than s? True Let q(v) = -7*v**2 - 2*v + 1. Let n be q(-2). Let a(x) = -x**3 - 7*x**2 - x + 22. Let l be a(-5). Is l < n? False Let c be (-5)/((-1785)/(-244)) + (-12)/(-18). Let j = c - -27/595. Is -1 != j? True Suppose 6*r - 52 = 4*r. Let c = 34 + -10. Is c <= r? True Let m = 460 + -461. Let o = -16/9 - -155/72. Do m and o have different values? True Let u be (-81)/(-12)*352/396. Let v be 0 - ((-2)/(-2) - 8). Which is smaller: u or v? u Let o = 6 + -5.87. Let q = 0.06 - o. Let w = q - -0.21. Is -0.1 smaller than w? True Let n = 2882/685 + -1/137. Is -1 equal to n? False Let l = 279 - 195. Suppose 5*f - l = -3*r, -2*f = -5*r + 19 + 90. Let k = -23 + r. Which is bigger: -13 or k? k Let y be 28/(-154) + (-500)/154. Let j = y - -86/21. Let z = -1.79 + 1.7. Is j at most as big as z? False Let u be 8/(-73 - 7)*(-32510)/8. Let q = 408 - u. Which is bigger: 2 or q? 2 Let n(t) be the first derivative of -t**3/3 + 9*t**2/2 + 10*t + 1. Let k be n(8). Let u = -22 + k. Which is greater: u or -1? -1 Let y(p) = 3*p + 21. Let h be y(-14). Let r be 7*(57/h - -3). Suppose 0 = r*z - 2 + 24. Are 1 and z non-equal? True Let p(u) = -3*u**3 - 1. Let q = -2 - -1. Let l be p(q). Let c be 2/(-10)*(-6 - l). Are c and 2 equal? False Let b be (-1)/2*(35 - 35)*1. Is b less than -2/4413? False Suppose -2*a - 4 = -2. Let g be 28708/(-10) + 4/(-20) + 1. Let b be 5/(g/(-136)) - (-2)/(-7). Which is greater: a or b? b Let v = -794941/179 - -4441. Which is bigger: v or 1? 1 Suppose 0 = -2*p + 3*y + 1860, 19*p - 16*p - 3*y - 2793 = 0. Is 933 > p? False Let m = 1802 - 34229/19. Which is smaller: m or -1? -1 Suppose 3*a = -46 + 10. Let z be ((-3)/18)/(-2 - 45/a). Which is smaller: z or 1? z Let s be (-1 + -2)*(-12)/(-9). Suppose 2*p + 3*p + 100 = 3*m, 4*m = -p + 164. Let n = m + -45. Which is smaller: n or s? n Let x(y) = y**2 - 2*y - 6. Let h be x(5). Let m = 8 - h. Let n be 60/(-4) + m + -3. Is -18 at most n? False Let j be (-215)/(-315) - 4/(-18) - 1. Let d(s) = 2*s**2 + 1. Let u be d(-1). Suppose u*a = -a. Which is smaller: j or a? j Let v be (3/9)/((-2)/(-18)). Let l be 147/42 - 2/4. Let u be (0 - (l - 2))*(-4 + 4). Which is greater: v or u? v Let j(q) be the second derivative of -1/12*q**4 - 5*q + 0 + 2*q**3 + 5*q**2. Let n be j(13). Does -3 = n? True Suppose 3*p - 912 = 2*z - 5*z, -4*p - 3*z = -1211. Let v = p + -641/2. Does -22 = v? False Let s be 19/(-2 + (-2 - 1)). Suppose -12*t - 4*t - 80 = 0. Which is bigger: s or t? s Suppose -3*a = -8 + 2, 2*h + 3*a = 10. Suppose h*j + 40 = 4*d, -2*d + 2*j = d - 32. Let g be (2/4)/((-2)/(-16)). Is g less than d? True Suppose 3*b - 9 = -3. Suppose 5*j = b*j + 54. Let u = -15 + j. Which is bigger: u or -1/6? u Let p be ((-25)/24 - -1)*-2. Suppose 0 = -3*x - 6, -5*l = -2*l + 4*x + 2. Suppose 4*k - 4*t - 20 = 0, -k - l*t = 2*k + 10. Which is smaller: p or k? k Suppose -302 = 6*h + 76. Let q = -62 - h. Let t be 16/6 - (0 + 1). Is q at least as big as t? False Let c = -41693/16 - -2606. Is 1/17 greater than or equal to c? False Let c = -5 - -3. Let f be (-6)/(c/4*3). Suppose -5*g - 4*i = -33, 2*g + 7*i - 4 = 10*i. Is g at least as big as f? True Suppose -l = -0*l - 7. Let n be ((-8)/120)/(l/97). Let g = n - -6/7. Is -1 less than or equal to g? True Suppose 0 = 4*v - 7 + 7. Suppose v = 34*d - 36*d. Is d <= 3/11? True Let h = -1684 + 1683.8. Let u = 27 + -45. Is h greater than u? True Let m = 10.7 - 11.26. Let y = m + 0.46. Is -6/11 < y? True Let q = -1398.09 + 1321. Let u = -77 - q. Is u smaller than 2? True Let r = -120 - -838/7. Let k = -5.9 + 5.2. Is k less than r? True Let b = -5 - -5. Let l be b*((2 - -1) + -2). Let g = 35/123 + 2/41. Is g <= l? False Let z be -1 - 4 - 157/(-17). Is z at least as big as 4? True Suppose -18 = 4*f + 5*d, -6*f - 2 = -f - 4*d. Let s be 6/(-3) - -3 - f. Let o be -9 - s/6*-6. Which is greater: o or -5? -5 Let g = -364.9 - -365. Is -148 equal to g? False Let f(r) = -4*r**2 + 57*r - 152. Let m be f(11). Which is smaller: m or -111? -111 Let y be -1 + 1 + 0 - 9. Suppose 2*i - 3*i - 56 = 0. Let r = i - -49. Is y bigger than r? False Let x = 8150/7 + -1164. Which is smaller: 0 or x? 0 Let d = -1.4 + -14.6. Let n = 0.22 - -0.78. Which is smaller: d or n? d Let l = 15 + -11. Let p = -6 - 0. Let a be (l/p)/(55/15). Which is smaller: a or 1? a Let a be (1/41)/(0 + -1). Suppose 18*d - 16*d - 23 = 5*r, d + 21 = -4*r. Which is bigger: d or a? a Suppose -d - 4153 + 4114 = 0. Which is bigger: d or -0.3? -0.3 Let u = -32 - -61. Let i = u - 25. Let x(d) = -2*d + 2. Let f be x(1). Which is greater: i or f? i Let d be -2 + 24 + -2 - 0. Let h be 8/(-12) + 390/18. Which is smaller: d or h? d Let z = -349 - -350. Is -154 <= z? True Let v(f) = -f**3 - 4*f**2 + 4*f + 17. Let x be v(-4). Which is bigger: 3/449 or x? x Let b = -34.77 + 35. Let z = -0.07 - b. Is z <= -8? False Let k = -11.4 + -22.6. Let x = -35 - k. Is x greater than or equal to 2/31? False Let r be (-5 + 1 - -5)/(-1). Let d = -6/5 - r. Which is bigger: d or -1? d Let m = -35.8 - -31.8. Which is bigger: m or 18? 18 Let v(f) = -2*f - 50. Let c be v(-25). Is c greater than 1/127? False Let q be 253/55 - (-3)/(-5). Let j be ((-66)/9*(-18)/(-6))/(-8). Is j equal to q? False Suppose 3*l = 2*o + 15, -36*o + 31*o - 2*l + 10 = 0. Which is smaller: o or -3/4? -3/4 Let j = -23/35 + -1/7. Suppose -5 = -2*z + 1. Suppose -4*c - 2*v + z*v = 7, 0 = -4*c - 2*v + 2. Which is greater: c or j? j Let t be (-5*(-4)/10)/(-2). Let s be (1 + -5 - 1)*t. Let n(m) = 4*m - 11. Let c be n(s). Do 8 and c have the same value? False Let p = 7055 - 7084.99. Let x = -30 - p. Suppose -2*l - f - 4 = -2, 0 = -2*f - 4. Which is smaller: x or l? x Suppose -5*i + 9 = -11. Suppose -5*m = -v - 38, 0 = -5*m + 6*v - 3*v + 44. Is i at most m? True Let l be (159/3 + -2)*1. Suppose 0*f = 3*f + l. Which is greater: f or -18? f Let x = -1075 + 1052. Let u = 394.9 - 372. Let i = u + x. Is 3 > i? True Let m = -100 - -100.63. Let c = m + -0.74. Let i(x) = -x**2 + 4*x - 3. Let d be i(3). Which is smaller: d or c? c Let z be (-56)/21*99/22. Is 0.18 smaller than z? False Let v = -58 + 56. Let z be (1 - 1)/(-5 - -3). Is v < z? True Suppose -4*a + 12 = -8. Let j be (-70)/(-8)*(a - 1)/20. Which is greater: j or 3? 3 Let c(l) = 8*l**2 + 13*l + 65. Let i be c(-6). Which is smaller: 277 or i? i Let t = 0 - 1. Is 0.062 at most as big as t? False Let d be 17*23/(-5) - -3. Let k = d + 74. Which is greater: 0.1 or k? 0.1 Let u = 9.72 - -6.28. Is u >= 11/2? True Suppose 0*g = -3*g + 9. Suppose h + g*h - 4 = 0. Let x be 0/(h - 12/3). Which is smaller: x or 5/6? x Let p be (2/4)/(1/(-13)). Let y = -58 - -51. Is y at most as big as p? True Let m be ((-231)/(-105))/(1*2/5). Are m and 5 equal? False Let v = -128 - -184. Suppose 2*i + 2*n = 5*i + v, 2*i = 3*n - 34. Let k be 6/i*(-5)/(-15). Is 0 at most as big as k? False Let k = -15.8 - -20.8. Which is bigger: k or -4? k Let d be 2/4 + 21/(-22). Let w be 11/(-3)*27/(-99). Is w equal to d? False Let z = 0.24 + -0.24. Let i = 0.1 - z. Is 1 bigger than i? True Let h(a) be the second derivative of -a**5/20 - 7*a**4/12 + 4*a**3/3 + a**2/2 - 2*a. Let k be h(-8). Let w = -363 + 4003/11. Which is smaller: k or w? w Suppose -c + 3*s = -21 + 7, 4*s = c - 13. Which is greater: c or 13? c Let o = 3.05 + -3. Let w = -0.55 + 1.5. Let g = o + w. Which is smaller: g or 3/5? 3/5 Let u = 750 - 750. Which is smaller: -1/685 or u? -1/685 Suppose -x = 3*o - 28, -2*o + 3*x - 21 = -4*o. Suppose -2*p - 2*p - 5*y - 24 = 0, 2*y + o = -p. Is p at most as big as 8? True Let b(p) = p + 7. Let n be b(6
{ "pile_set_name": "DM Mathematics" }
3. Let s(o) be the first derivative of q(o). What is s(7)? 15 Let r(x) = -x**2 - 15*x + 4. Let z be (-825)/(-330)*(2 + 72/(-15)). Calculate r(z). 60 Suppose -4*z + 4*c + 44 = 0, 262*z + 19 = 266*z + c. Let p(b) be the second derivative of -b**5/20 + b**4/2 - b**3/2 - 5*b**2/2 - 3*b. Determine p(z). -23 Suppose 4 = -4*u + 83*o - 82*o, -4*u = -4*o - 44. Let f(p) = -4*p - p**2 - 3 + 3. What is f(u)? -5 Suppose 2*z - 4*h = -68, -2*h - 124 - 18 = 3*z. Let g = -46 - z. Let i(f) = f**2 + f + 1. What is i(g)? 3 Let a(f) be the third derivative of f**5/60 - 5*f**4/24 + 2*f**3/3 + 45*f**2 + 7*f + 3. Give a(7). 18 Let v(g) = -g**3 + 5*g**2 - 7*g + 26. Let k(i) = -i**2 - 28*i - 182. Let w be k(-17). Give v(w). -9 Let m be (-202)/(-606) + 4/6. Let u(z) = -16*z + 4. What is u(m)? -12 Let g(q) = -q**2 - 14*q + 55. Suppose 27*c + 630 = -8*c. Determine g(c). -17 Let j(g) = -17*g**2 - 18*g. Let n(z) = 8*z**2 + 9*z. Let h(v) = -6*j(v) - 13*n(v). Suppose 541*b - 1241 + 3566 = -1462. What is h(b)? -35 Let n(i) = i**2 - 15*i - 16. Suppose h - 7*f = -5*f + 12, -3*f = 4*h - 48. Determine n(h). -52 Let k(f) = f + 7. Let u(i) = -5*i + 3*i + 7 + 3*i + 1. Let z(v) = -2*k(v) + 3*u(v). Calculate z(-9). 1 Let y(g) = g**3 - 8*g**2 - 5*g - 13. Suppose -n + 2*h + 147 = 0, 3*n = h - 66 + 522. Suppose -151*w + 134*w + n = 0. Give y(w). 23 Let t(d) = 2*d**2 + 5*d + 3. Let s be 64/10 - 40/100. Let a(i) = -1 - 8*i - s + 4. Let w be a(0). Determine t(w). 6 Let q(h) be the first derivative of h**4/4 + h**3 + 7*h**2/2 - 837. Determine q(-3). -21 Suppose -2*h - 5*u = -0*h + 13, -5*u = h + 19. Let z be (-3)/(63/(-237)) - 4/14. Let k(c) = -13 + 8*c - 9*c + z. Calculate k(h). -8 Let v = -40465 - -40455. Let l(y) = -2*y**2 - 23*y - 31. Calculate l(v). -1 Suppose 26*d - d + 2*d - 621 = 0. Let j(y) be the third derivative of 25/6*y**3 - 1/24*y**4 + 0*y + 0 + d*y**2. Give j(0). 25 Let w(s) be the third derivative of -s**6/120 - s**5/20 + s**4/12 - 5*s**3/6 + 50*s**2 + 23*s. Let z be 1 + 5*-1 - 0. Calculate w(z). 3 Let t(d) = -d + 1. Let z(y) = -8*y**2 + 3 + y**3 - 7 - 3 - 8*y. Let o be z(9). Suppose 4*h + o*m - 6 = 0, -m + 4*m + 35 = 5*h. Determine t(h). -3 Let b(t) be the second derivative of 7*t**2 + 1/12*t**4 + 2*t**3 - 26 - t. What is b(-11)? 3 Let v(y) = -y**3 + 3*y**2 - 19*y + 112. Let o(p) = -p**3 + 2*p**2 - 20*p + 111. Let f(r) = 5*o(r) - 6*v(r). Let t be f(8). Let g(x) = -5*x - 15. What is g(t)? 10 Let w(c) be the second derivative of -c**3 - c**2 + 894*c. Determine w(3). -20 Let g(q) be the third derivative of -q**5/60 - 5*q**4/8 - q**3/6 + 2*q**2 - 1561. Suppose 57*l - 54*l + 42 = 0. Give g(l). 13 Suppose -7 = 22*f - 117. Let h(c) = -c**2 + 17*c - 65. Let q be h(f). Let d(i) = -i**2 - 6*i - 4. Determine d(q). 1 Let b(i) = -10*i + 11*i - 8*i + 2*i - 11. Calculate b(6). -41 Let g(k) = -k**2 - 6*k - 1. Let l be 2 + 0 + (3 - (3 + -1)). Suppose -2*z - 12 = -l*d - 4*z, 3*d + 5*z - 12 = 0. Suppose d = 3*s + 19. What is g(s)? 4 Suppose -2*f = -32 + 44. Let z(y) = -10*y**2 - 35*y - 24. Let q(j) = 7*j**2 + 24*j + 16. Let v(b) = -7*q(b) - 5*z(b). Calculate v(f). 2 Let f(m) = -19*m - 164. Let x(g) = 11*g + 90. Let j(u) = 4*f(u) + 7*x(u). Calculate j(30). 4 Let c(p) = 4*p + 1. Let j = 2 - 5. Let g(o) = -1488*o - 48. Let z(b) = 220*b + 7. Let n(v) = 4*g(v) + 27*z(v). Let q(w) = j*n(w) - 8*c(w). Give q(-1). -3 Let m be -2 - ((-3 - 6) + 1). Let t(n) = n**3 - 8 - 4*n**2 - 22 + n + 17 - m*n**2. Let c be t(10). Let d(o) = -o**3 - 3*o**2 - 2*o - 1. What is d(c)? 5 Let h be ((1 + -5)/(-1))/(-1) - (-32 - -36). Let j(p) = p**3 + 8*p**2 + 5*p - 7. Determine j(h). -47 Let q(m) be the third derivative of m**6/120 - 4*m**5/15 - 2*m**4/3 - 7*m**3/6 + m**2 - 1222*m. Calculate q(17). 10 Let a(s) = 35*s + 3. Suppose -c + 2*l + 1 = 0, 0 = -c - 5*l + 312 - 318. Give a(c). -32 Let t(m) be the third derivative of -109*m**2 + 19/6*m**3 + 1/24*m**4 + 2 + 0*m. Calculate t(-14). 5 Let b be (2/4)/((-158)/1580). Let g(y) = 2*y**2 + 11*y. Calculate g(b). -5 Let c(f) = f + 2. Let r be (8/(-40))/(4 - 81/20). Let q(t) = -5 + 4 + 2*t - 3*t. Let g(o) = r*c(o) + 3*q(o). Give g(-5). 0 Let r(t) = -t**3 - 11*t**2 - 10*t + 1. Let w be r(-10). Let l(m) = -3 - m**2 + w + 7 - 23*m + 19*m. Suppose -4*n + 3 = 31. Give l(n). -16 Let k(q) = q**3 - 45*q**2 + 46*q - 85. Let f be k(44). Let t(p) = -3*p**2 - 4 + 2*p**3 - f*p**2 + 3*p + p**2 + 6. Determine t(3). 20 Let z(r) = 48*r + 33. Let w(o) = -3*o - 2. Let m(j) = 33*w(j) + 2*z(j). Suppose 28 = 8*u + 28. Let g(q) = 31*q + 2. Let s be g(u). What is m(s)? -6 Let m(k) = 18*k**2 + 135*k + 138. Let w(a) = 22*a**2 + 136*a + 138. Let j(p) = 6*m(p) - 5*w(p). Determine j(66). 6 Suppose 489 = -460*x - 29*x. Let g(w) = 17*w**2 - 14*w - 14. Give g(x). 17 Let r(s) be the second derivative of s**3/3 - 11*s - 7. Let h(w) = w**2 - 13*w. Let o be h(13). What is r(o)? 0 Let v be (27/18)/(6/(-660)). Let r = 156 + v. Let y(p) = -p**3 - 10*p**2 - 12*p - 13. Determine y(r). 14 Let u(m) = -m**3 + 15*m**2 - 36*m. Let y be u(12). Let z(p) be the third derivative of 1/24*p**4 + 4*p**2 + 0 + y*p + 1/3*p**3. Determine z(-4). -2 Let g be 310/35 - 1/(-7). Let r(m) = g*m**2 - 21*m + 1 - 13*m + 33*m. Give r(1). 9 Let z(y) = 18*y + 2*y - y**2 - 1244057 + 1244068. Calculate z(22). -33 Let m(k) = -k - 17. Let g(s) = 1. Suppose i - 3*l = -1 + 59, 2*i = 3*l + 110. Let x = 58 - i. Let w(b) = x*g(b) - m(b). What is w(0)? 23 Let y(b) be the second derivative of 3*b**3/2 + 23*b**2/2 + 4*b - 18. Determine y(-3). -4 Let w(h) be the first derivative of h**2/2 - 48*h - 3. Let p be (336/(-21))/32*0. Determine w(p). -48 Let b(v) = -v**3 - 7*v**2 - v + 6. Let n(x) = -2*x**2 - 48*x - 44. Suppose -c + 5 = 28. Let p be n(c). Let z(f) = -9*f + 11. Let a be z(p). Determine b(a). 13 Let s(i) = i**3 + 6*i**2 + 5*i + 4. Suppose -340*p - 35 = -335*p. Let x be (132/p)/4 - (-4)/(-14). Calculate s(x). 4 Let b be (25/(-3))/((-7)/(100 + 5)). Suppose -b*m = -124*m - 11. Let h(a) = a**2 - 11*a + 11. What is h(m)? 11 Let u(n) = n + 2. Suppose -12*l = -7*l - 20. Suppose 12*a - 40 = l*a. Suppose -2*s + 4*w = -0*s + 14, a*s + 4*w = -21. What is u(s)? -3 Let q(u) = 30*u + 397. Let r(j) = -j - 1. Let h(z) = -q(z) - 6*r(z). Let l be h(-16). Let b(m) = m**3 + 6*m**2 - 9*m + 7. Determine b(l). 21 Suppose 799*t + 1092 = 805*t. Let a = t + -172. Let q(v) = -v**2 + 8*v + 19. Determine q(a). -1 Suppose -5*b + 313 = 303. Let s(i) = -2*i + 2 + 3*i**2 - 2*i**2 + 3*i**b - 5*i**2. Suppose -25 + 10 = 5*c. Determine s(c). -1 Let r(f) = -3*f**2 - 2*f + 1. Let i(j) = 20*j**2 - 20*j - 5. Let o(z) = i(z) + 5*r(z). Give o(6). 0 Let x(p) = -p - 2. Let t = 272 - 269. Suppose 0 = -t*h + 7*h. What is x(h)? -2 Let n = 10325 + -10323. Let o(s) = 5*s + 3. Let k(i) be the third derivative of -i**4/6 - i**3/3 - i**2. Let v(c) = n*o(c) + 3*k(c). Determine v(5). -10 Let q(w) = -2*w + 4. Let a(m) = m - 2. Let j = -38 - -67. Let p = j - 39. Let r(i) = p*a(i) - 4*q(i). Give r(-7). 18 Let d(x) = 4*x. Let z = 8 - 14. Let o = z - -10. Suppose 5*w + 5*c = 15, 0*w + o*c = 3*w - 2. Determine d(w). 8 Let p(g) = g**3 + 7*g**2 + 54*g + 227. Let u be p(-5). Let o(v) = v**3 - 9*v**2 + 8*v + 11. Give o(u). -31 Suppose 18 = 12*n - 18. Let p(w) = -1 + 11*w**3 - 7*w**3 + 5*w**2 - 4*w**n + w**3. Determine p(-4). 15 Let f be 4/(-10) + 231/15. Let d(z) = 55*z**2 + 2*z + 2 + 3 - f*z - 54*z**2. Give d(10). -25 Let u be -5*(-6)/(-10) - (-1 - -229). Let j = -227 - u. Let r(g) = g**3 - 4*g**2 + 4*g + 2. Give r(j). 18 Let g(c) = 2*c**3 - 6*c**2 - 5*c - 1. Let k(m) = m**3 + 40*m**2 + 2*m + 85. Let v be k(-40). What is g(v)? 74 Let i(w) = 6 + 6*w + 26 - 39. Determine i(-5). -37 Let j(u) = u**3 + 7*u**2 - 3*u - 12. Suppose 5*i - 25 = -5*o, o + 4*i - 23 + 3 = 0. Suppose 9*v + 66 - 3 = o. Determine j(v). 9 Let w(y) = y - 10. Let c(p) be the second derivative of -5*p**3/6 - 111*p**2/2 + 22*p. Let l be c(-24). What is w(l)? -1 Let s(w) = w**2 + 8*w - 1. Suppose -354 - 141 = -5*m. Suppose 5*q = -r + m, -4*r = -r + 3*q - 237. Let c = r + -81. What is s(c)? -8 Let q(c) = -c**2 - 9*c + 9. Let g be (-5)/4*(-4)/1. Suppose 3*y + 5 = g*i, 5*i = -y + i - 30. Calculate q(y). -1 Let z(q) = 606 + 19017*q**2 - 9513*q**2 + 62*q - 9503*q**2. Calculate z(-50). 6 Let l be (9*1)/((-3)/(-2)). Let k(h) be the third derivative of 5/6*h**
{ "pile_set_name": "DM Mathematics" }
+ -5 + -5 + -7)). -10 What is -66 + (-37 - -70) + 9? -24 Evaluate 6 - ((-1 - -2) + 3). 2 What is 21 - (-24 - -20 - -28)? -3 Calculate 1 - 15 - -10 - (-3 - -5). -6 24 - 1 - (-53 + 62) 14 2 + -24 - (-17 - (-8 + (4 - 12))) -21 (30 - 66) + (6 - -12) -18 Calculate (-6 - -15) + 2 + -3 - (5 - -9). -6 What is the value of -25 - -30 - (-3 - -15)? -7 What is -9 + (8 - -13 - 4) - (1 + 25)? -18 Evaluate (3 - -1 - ((-15 - -12) + 8)) + 7. 6 What is the value of (98 + -88 - (9 - 0)) + (-1 - -13)? 13 Evaluate (-2 - (-4 + 1)) + 1 + -3 - -2. 1 Evaluate (11 - 12 - 11) + 12. 0 (3 - 8) + -2 + (1 - -24) + -2 16 (-7 - (9 + -26)) + -2 - 9 -1 What is 8 + -1 - (10 + (11 - 15))? 1 Calculate -10 - (-14 + 14 + -9). -1 (-3 - (5 + -3 - 10)) + (89 - 83) 11 Evaluate 13 + 4 - -4 - 21. 0 Calculate -37 + -2 + -3 - -34. -8 -18 - (19 + -8 + -45) - 21 -5 Calculate (24 - -1) + -35 + 21 + 1. 12 Calculate 6 + 0 - (-64 + 80). -10 Evaluate (4 - (-2 + -32)) + -6 - (-14 + 17). 29 Evaluate 2 + -11 + -5 + 17. 3 What is 25 - (1 + 15 + -1)? 10 What is (-2778 - -2774) + -1 + 42? 37 Calculate 13 + 6 + -13 + (-6 - 0). 0 Calculate (1 - 6) + -16 + 7 + 0. -14 What is 3 - ((7 - 27 - -14) + 18)? -9 Calculate -229 + 224 + -6 + -1. -12 -14 + (13 - (18 + -12) - 14) -21 What is 6 + 3 + (11 - 15 - (-2 + 2))? 5 What is (-2 - 7 - ((-35 - -15) + 14)) + 0? -3 What is (-4 - -4) + (7 + -6 - 9)? -8 What is 3 + -14 + 8 + 3? 0 20 - (-13 + (-12 + 15 - -9)) 21 Evaluate (-57 - -75) + 5 - (19 + -1). 5 Evaluate -4 + (14 - 3) - (-2 + -9). 18 What is -3 - ((5 + (-4 - 0) - 26) + 5)? 17 Evaluate -21 - -9 - (-3 + -1) - -4. -4 Evaluate (0 - 4) + 3 + 61 + -45. 15 What is (-44 - -33) + -1 + -6 + 6? -12 -10 + 53 + -15 + -16 12 Calculate 5 + (7 - -14) + -16. 10 What is the value of 12 + 4 + -34 + 6? -12 Calculate 0 + -2 + 11 + 3 + -19 + 5. -2 Evaluate -12 - (-11 - (-3 + 4)). 0 Evaluate 1279 + -1316 - (1 + -15). -23 What is ((-4 - -11) + -12 + 1 - -1) + 4? 1 3 + -4 + -10 - (9 - 10) -10 Evaluate 7 - ((-2 - (-1 + (5 - 6))) + 0). 7 What is the value of 2 + (-3 - -5) - (4 - -2)? -2 What is the value of 25 + (0 - 17) - 8? 0 What is the value of (-100 - -102 - (29 - (4 - 2))) + 7? -18 What is the value of 6 - (-8 + 12 - -15)? -13 -9 + (-2 - 11) + 21 -1 What is the value of 18 + -30 + -7 - -9? -10 What is the value of -11 + -1 - (-4 - (0 + 8 + -5))? -5 What is -7 + 8 - (24 + -32)? 9 Calculate 0 - -9 - (-167 - -169). 7 What is (15 - 32) + (2 - -17)? 2 What is (-8 - (11 - 14)) + (9 - 0 - 0)? 4 What is the value of 1 + 1 + -8 + (3 - (-17 - -3))? 11 Calculate 3 - (-8 - ((1 - 4) + -2)) - 7. -1 What is the value of 5 + (-184 + 189 - (-1 + 13)) - -13? 11 Evaluate (-4 - (-30 - -20)) + 6. 12 What is -7 + -6 + 12 + (-23 - -26)? 2 Calculate -1 + (2 + 6 + -7 + -1 - 3). -4 (-2 - 26) + (38 - 33) -23 What is the value of -5 - (-22 + 5) - ((20 - 6) + -7)? 5 What is the value of -39 - -14 - (-47 + 14)? 8 What is (36 - -1) + 189 + -194 - (15 + -6)? 23 -5 + -4 + -2 + 12 + (-3 - -23) 21 Evaluate -7 - (-9 - (-26 + 13)). -11 What is -1 + 7 - 3 - (-77 - -90)? -10 Evaluate 26 - (18 + -16) - 15. 9 What is -4 - -2 - -24 - (25 - 12 - 11)? 20 -52 + 82 - (7 + -1) 24 Calculate (-3 - -2) + (28 - (-1 - 3 - -12)). 19 What is 11 - (2 + ((7 - 6) + -4 - -1))? 11 Evaluate (-4 - (-14 + 12)) + -5. -7 Evaluate (-14 - -25) + -1 + 3 + (1 - 2). 12 What is the value of -19 - (-12 + 16) - (3 + -1)? -25 (0 - 15) + (-10 - -26) 1 What is -8 + (21 - 4 - 10) + 2? 1 What is 24 + (-37 - (-1 - 18))? 6 Evaluate -73 + 18 + (60 - 38). -33 Calculate (13 - 18) + ((3 - 2) + 2 - 6). -8 What is -2 - (10 - ((-3 - 6) + 7))? -14 What is -4 - (2 + 4 + (15 - (-11 - -28)))? -8 What is the value of -5 + -21 - (-66 - -43)? -3 What is the value of 9 + -32 + (34 - 17)? -6 Evaluate (-4 - (3 - -1)) + 6 - 11. -13 What is (-16 - -13) + 17 + -22? -8 What is 25 + -5 - (71 - 57)? 6 Evaluate -3 + (-22 - -40) - 4. 11 What is 2 + -8 + -7 + 9 + -11 - -6? -9 (33 - 38) + 8 + (0 - (4 + -1)) 0 Calculate (-4 - (-13 - (-13 + 7))) + -19 + 4. -12 Calculate 44 - ((59 - 45) + -8). 38 Calculate (1 - -1) + 1 - (-34 - -25 - -20). -8 What is the value of (-3 + 9 - (-8 - (-9 - -12))) + -4? 13 What is the value of (-1 - 18) + (-1048 - -1045)? -22 0 + 7 + -36 - -21 -8 (85 - 32) + -23 + -3 27 What is (502 - 446) + (-18 - (1 - 0))? 37 16 + (-7 - (6 - 5)) + (-6 - -1) 3 What is 14 - (25 + 11 + -37)? 15 10 - (-8 + 16 + (-8 - 12 - -11)) 11 Calculate 3 + ((-8 - -2) + 1 - 22). -24 Evaluate -11 - (-16 + (11 + -9 - 2)). 5 Evaluate 7 + (34 - 45) - (-5 + 2). -1 (-2 - 4 - (-9 + 13)) + (-14 - -20) -4 What is 10 + (20 - (16 - 11)) + 12? 37 What is (-3 - 1) + (1 - 12 - (21 + -34))? -2 -8 - (-9 + 11 + -17) 7 Evaluate 2 - (4 - -2 - (9 + -5)) - 22. -22 -26 + 36 + 9 + -31 -12 What is (17 - 16 - 11) + 1 - (2 - 23)? 12 What is 9 - 8 - (-9 + 7)? 3 What is the value of 11 + (-25 - -12) + -10 + 11 + -26? -27 What is the value of (-8 - 3) + 3 + 5? -3 Evaluate -46 - (29 + -53) - (1 + -2). -21 Calculate 24 - ((38 - 37) + (-11 - -2) + 3). 29 Calculate 1 - (-23 + 21 + -29). 32 Calculate 33 + (23 - 87) + 48. 17 8 - (-14 - (6 - 13)) - 7 8 Evaluate 26 + (-20 + -18 - -33). 21 5 + -8 - ((6 - -1) + 3 + -2) -11 (-2 - ((16 - 6) + -10)) + -10 -12 Evaluate -4 + 3 + 1 + -3 + (-3 - 1). -7 (-12 - (-11 + 21)) + 2 + 4 + 1 -15 Calculate -9 + (3 - 21 - -28). 1 Calculate -277 + 232 - (-1 - 21). -23 What is 4 + -1 + (-167 - -175)? 11 (-2 - -19) + 52 + -68 1 -16 + 6 + 29 - 14 5 What is the value of 39 - (27 - -67) - -27? -28 -18 + (66 - ((-7 - 10) + 29)) 36 What is -9 - (-5 - 3 - -3) - (14 - 0)? -18 What is the value of 300 + -282 + -2 + -20? -4 (-2 + 1 + -7 + 6 - -5) + -9 -6 Evaluate 40 + (-32 - -2 - -7). 17 What is the value of 12 + (6 - 10) + 37 + -10 + -9? 26 (3 - 6) + (4 - (8 - 5) - -5) 3 What is the value of 3 + (0 - -18) + -28 + 0? -7 Calculate -5 - (8 + -22 - -19). -10 Evaluate (2 - 0 - (3 - -2)) + (-28 - -29). -2 Calculate 35 + (-4 + 1 - 17). 15 Calculate 2 + -30 + 226 + -212. -14 Evaluate (-7 - (1 + -14)) + -22 + 6. -10 What is the value of -9 + (53 + -21 - (-5 - -16))? 12 What is the value of 8 + (6 - -19) + -23? 10 Calculate -4 + (-6 - (-12 - 0 - -11)). -9 Calculate (23 - 17) + 4 + -42. -32 Evaluate (6 - 0) + (-15 - (-1 - 6) - -3). 1 What is the value of -47 - -55 - (-1 - 3)? 12 Evaluate (-15 - (-13 + 11) - -1) + -4 + 4. -12 Calculate (32 - (71 + -38)) + -20. -21 Evaluate -14 - (4 + -14 + 3). -7 Calculate (-2 - 0) + (101 - 102) - (-4 - 3). 4 What is the value of (13 - 2 - -1) + -152 + 151? 11 What is -1 - (-59 + 60 - (0 - -2)) - -14? 14 Evaluate 6 + 1 + (1 - 4) - (150 + -141). -5 Evaluate (-11 - (1 - 8)) + -4 + 9. 1 What is the value of 3 + (-12 - (0 - -6))? -15 Evaluate 22 + -3 + -8 + -4. 7 -1 - (-18 + 8 - -3) - (12 + -4) -2 Evaluate 3 + -4 + 6 + 13 - 9. 9 What is the value of (0 + 4 - -1) + (-14 - -4)? -5 What is (36 - 28) + -16 + 12? 4 Calculate 1 + 14 + 0 - (40 - (27 + 10)). 12 What is (3 + -15 - -8) + 7 + (-1 - 2)? 0 Evaluate 10 - ((-24 - -95) + -30). -31 Calculate 32 + -22 + -16 + 1 + 8. 3 What is the value of (-5 + 2 - 18) + 6 + (-2 - -3)? -14 Evaluate (0 - -1) + 23 + -50 - -9. -17 What is the value of (7 - 6 - 13) + (-23 - -23) + 0? -12 Evaluate 6 + -15 - (-19 + -12). 22 Calculate 20 - 15 - (-1 + 5 + 3 + -12). 10 What is the value of 2 + (15 - (28 - 24))? 13 What is -24 + 1 + -317 + 331? -9 Calculate -1 + (-14 - (-4 + -11)). 0 What is -30 - (-1 + (-31 - -14) + 12)? -24 Calculate -2 + 4 - (-12 + -1 - (148 + -153)). 10 Evaluate (6 - 10 - 13 - -4) + -4. -17 Calculate 0 - -12 - (544 - 549). 17 -10 + 20 + -5 - (14 + (1 - 0)) -10 Calculate -15 - (-18 + (9 - 14)). 8 5 + ((-8 - 1) + -3 - -8) 1 Calculate (12 - (6 - -7)) + 10. 9 4 + (-11 - (5 + -14)) 2 -369 + 407 - (8 + 1) 29 (28 - 12 - 21) + (-2 - (-1 + -13)) 7 Evaluate -2 + 4 + (-11 - 1) - -1. -9 What is the value of 436 + -429 + 1 + -5? 3 (-37 - -23) + 11 + -4 + 20 13 What is the value of -87 + 94 - (13 - 2)? -4 Evaluate (-18 - (-3 - 7) - -36) + (-13 - -4). 19 What is (13 - (50 + -41)) + (2 - 43)? -37 What is the value of -2 + -2 + (0 - -11) + 7? 14 Calculate 18 + -39 + (-5 + 16 - 4). -14 (29 - 15) + -14 + 12 12 What is the value of -12 - (1 - 7) - (-3 + 3 + -10)? 4 Calculate 19 - (-23 - -32 - 0). 10 What is 23 + -18 - -30 - 34? 1 What is the value of (-27 - (-2 + -8)) + (8 + -4 - 9)? -22 What is 0 + (7 - (38 - (7
{ "pile_set_name": "DM Mathematics" }
What is the highest common divisor of 320 and g? 10 Let j = 145 + -97. Suppose 3*w + 480 = 7*w. Calculate the greatest common divisor of w and j. 24 Suppose l + 0*l = -3*f + 18, 2*l - 39 = -3*f. Let s(w) = -w**2 + 23*w - 40. Let n be s(l). What is the greatest common factor of 8 and n? 2 Suppose -44*d = -34*d - 2250. Calculate the greatest common factor of d and 25. 25 Let u = -101 - -173. What is the highest common factor of 88 and u? 8 Suppose -10 = 2*l, -4*d + 23*l + 42 = 21*l. What is the greatest common factor of d and 132? 4 Suppose 3*j + 10 = m, 5*m + 4*j = m + 40. Let s = 67 - 27. What is the highest common divisor of m and s? 10 Let g be 56 - -1 - (8 + -8 + 1). Calculate the greatest common divisor of g and 140. 28 Let x = -11 + 10. Let o(j) = 40*j**2 - j - 1. Let u be o(x). Let t be u/15 - 2/(-6). Calculate the highest common divisor of t and 21. 3 Let x(d) = 31*d**2 - 19*d - 60. Let g be x(-5). What is the greatest common factor of 10 and g? 10 Let b(p) be the first derivative of p**3 + p**2/2 - 2*p + 18. Let v be b(2). Calculate the greatest common factor of v and 30. 6 Suppose 3*h - h = 0. Let u = 6 - h. Let w be (-6)/u + (96 - -1). Calculate the greatest common factor of 12 and w. 12 Let h be -2*(-32 - -26 - (-22)/(-4)). What is the highest common factor of 1656 and h? 23 Let r(u) = -29*u - 4. Let o be r(2). Let p be (7 - 1)/(-7 - -9) - o. What is the greatest common factor of p and 26? 13 Suppose 52*w - 30*w - 6314 = 0. Calculate the greatest common divisor of 205 and w. 41 Let c(o) be the second derivative of o**2 + 1/2*o**3 - 5*o + 1/4*o**4 + 0. Let y be c(-2). What is the greatest common divisor of y and 72? 8 Suppose 0*s - 2*s = -j + 17, -j + 3*s + 18 = 0. Let y be (2 - 0)*66*(-2)/(-4). Let p = y + -21. Calculate the highest common divisor of j and p. 15 Suppose 3*f - f = 5*a + 267, -2*f + 55 = -a. Let y = 91 + a. Let k = 92 + 22. Calculate the greatest common factor of y and k. 38 Let b(j) be the second derivative of j**4/6 - 5*j**3/6 - 2*j**2 - j. Suppose 15*w + 4 = 94. Let q be b(w). What is the highest common factor of q and 57? 19 Suppose -4*w = -15 - 65. Suppose -3*b = 3*k - 0*k - 9, 9 = 3*k + 2*b. Let d be 2/(-11) - 3670/(-55)*k. Calculate the highest common factor of w and d. 20 Let x = 7 - 6. Let l(p) = 16*p + 2. Let n be l(x). What is the greatest common divisor of n and 45? 9 Suppose -4*u + 193 - 185 = 0. Suppose -111 = -u*y + 5*r, -2*y + r + 83 + 40 = 0. Calculate the highest common factor of 7 and y. 7 Suppose -3*s = 11*s - 31304. Calculate the highest common factor of 86 and s. 86 Suppose 2*x + 5*p - 34 = 0, -5*x - 56 = -10*x + 2*p. Let c(h) = 48*h**2 - 5*h + 5. Let q be c(1). What is the highest common factor of x and q? 12 Suppose -67 - 66 = -5*c - 2*t, -4*t + 50 = 2*c. Calculate the greatest common divisor of c and 63. 9 Suppose -b + 2*z = -58 - 0, 4*z = -4*b + 184. What is the highest common divisor of b and 25? 25 Let q(l) = l**2 + 26*l + 141. Let u be q(-31). Calculate the greatest common divisor of 24 and u. 8 Let q = -4 - -29. Let z be ((8 - 4)/(40/(-100)))/((-4)/6). Calculate the highest common divisor of q and z. 5 Let g(w) = -w - 5. Let n be g(-8). Suppose -c = n*c - 88. What is the greatest common divisor of 55 and c? 11 Let s = -63 + 103. Let u be (-2)/(-10) + 237/15. Suppose -3*t + t = -u. What is the greatest common divisor of t and s? 8 Let v(x) = 10*x**2 + 3*x + 1. Let m be v(1). Suppose -5*p = -2*p - 210. What is the highest common factor of m and p? 14 Suppose -4*w = 3*j + 8, 6 = j - 5*j - 3*w. Suppose -7*u + 3*u + 8 = j, 2*t = u + 8. What is the greatest common factor of 10 and t? 5 Let r be (-1)/(-11)*350 + (-4)/(-22). Suppose -4*c + 0*c = 0. Suppose -2*i = o - 18, c*i + 4*i = -3*o + r. What is the greatest common divisor of i and 22? 11 Suppose -18 + 66 = 4*h. Let x be (0 - 2) + h/3. Suppose 2*p - p - 4*u = 40, -p = -x*u - 32. Calculate the highest common factor of 16 and p. 8 Let y = -23 - -25. Suppose 4*p + y - 10 = 0. Suppose 0 = 4*x + p - 54. Calculate the greatest common divisor of 13 and x. 13 Suppose 0 = -0*c - 4*c. Suppose c*u + 27 = u - 3*w, 0 = -2*u - 3*w + 9. Let x be 1/(-3)*-44*9. What is the highest common divisor of x and u? 12 Let r be (-38)/19 - (0 - (702 + 2)). Calculate the greatest common divisor of 54 and r. 54 Let g be 1/(45/10 + -4). Let s(k) = 17*k - 4. Let d be s(g). What is the highest common divisor of 15 and d? 15 Let c be 2/8 - 504/(-32). Suppose -c*w = -17*w + 33. What is the greatest common divisor of w and 3? 3 Let x(o) = 124*o - 178. Let f be x(2). Calculate the greatest common divisor of f and 10. 10 Let b = 20 + 37. Suppose 4 = 61*u - b*u. What is the greatest common divisor of 7 and u? 1 Let l = 1375 - 633. What is the greatest common factor of l and 14? 14 Let m(a) be the third derivative of a**6/120 + a**5/6 - 13*a**4/24 + 5*a**3/6 - 11*a**2. Let q be m(-11). Calculate the greatest common factor of q and 3. 3 Let l be (0 + 2 + -1)*117. Let w = 45 - 45. Let u be 13 + (-1 - (w + -3 + 2)). What is the greatest common factor of l and u? 13 Suppose 0 = -4*q - 0*q + 2*g + 204, 5*q - 255 = -3*g. Calculate the highest common factor of 34 and q. 17 Let j be (-6 - (1 - (1 + 3)))/(-1). Suppose -i = 4*y + j, -3*i - y + 0*y = -35. Let u = 233 + -116. What is the greatest common divisor of i and u? 13 Let r = 153 + -43. Let k(q) = -q**3 + 6*q**2 - 2*q + 6. Let i be k(6). Let s be i*(-4)/12 + 8. What is the highest common divisor of s and r? 10 Suppose -114 - 54 = -4*u. Suppose -8*f - 49*f + 3276 = -5*f. Calculate the greatest common divisor of u and f. 21 Let n be (-2 - 0)/((-5)/45). Calculate the greatest common factor of 2 and n. 2 Let z = 8 - 1. Suppose -z*b + 16*b = 1395. Let n(j) = j**3 + 3*j**2 + 4*j - 4. Let h be n(3). Calculate the greatest common divisor of h and b. 31 Let u(v) = v**2 + 8*v - 16. Let c be u(-15). Suppose 0 = 3*o + 4*l - 100, 3*o - 5 - c = 2*l. Calculate the greatest common divisor of 4 and o. 4 Let t be 16/14*(-147)/(-42). Suppose 48 = -t*w + 6*w. Let s be 0/2 + (-168)/(-1). Calculate the highest common factor of s and w. 24 Let p(a) = a**3 - 2*a**2 + a + 42. Let z be p(0). Let m be (-2)/14 + 444/21. What is the greatest common factor of m and z? 21 Let v = -910 + 912. What is the greatest common divisor of 58 and v? 2 Let o(v) = -v**3 + 5*v**2 + 7*v - 3. Let d be o(6). Let t(p) = -8*p - 7 + d + 5*p. Let f be t(-4). Calculate the highest common divisor of 20 and f. 4 Suppose -5*m - 6 - 4 = 0. Let x be m + 6 - -5 - -1. Let v = 11 - x. Calculate the greatest common factor of v and 11. 1 Let s be (3/((-48)/20))/((-4)/16). Suppose -3*x = 2*t - 6, s*t - 32 = t + 4*x. What is the highest common factor of t and 48? 6 Let o = 1009 + -984. Let w be -1 - 0 - -127 - 1. Calculate the highest common factor of o and w. 25 Let j = -3208 + 3271. Let q = 3 + -6. Let x be q/12 + (-169)/(-4). Calculate the highest common factor of x and j. 21 Let x = -89 + 139. What is the highest common factor of x and 240? 10 Suppose 3*d = -3*v + 102, -160 = -7*v + 3*v + 2*d. Let c = v - 55. Let h = 45 + c. What is the greatest common factor of h and 42? 14 Let m = -106 + 106. Let l be (-34)/(-2) + m/(-1). What is the highest common divisor of 153 and l? 17 Let k(t) = t**2 - 10*t + 2. Let d(v) = -4*v**2 + 13*v + v**2 - 2 + 2*v**2. Let f be d(12). Let y be k(f). Calculate the highest common divisor of 1 and y. 1 Let w(z) = 168*z + 16. Let b be w(1). What is the highest common factor of b and 16? 8 Suppose 26 = -2*f + 36. Suppose 5*s + f = -3*i + 195, 4*i + 4*s - 240 = 0. What is the highest common divisor of 44 and i? 11 Suppose -7*n - 3*q = -6*n - 26, -5*n + q + 194 = 0. Calculate the highest common divisor of n and 38. 38 Let r(a) = 0*a - 2*a + 11 - 3 - 5*a. Let f be r(-6). Suppose -w = -5*l + 62, 5*l = -4*w + f + 27. What is the greatest common divisor of l and 13? 13 Suppose -1638 = 30*y - 33*y. What is the greatest common divisor of 21 and y? 21 Suppose 490 = 29*f - 22*f. What is the highest common divisor of f and 224? 14 Suppose 2*j + j - 30 = 0. Suppose -8*u + j = -3*u. Suppose 6*b = 2*b + 24. What is the greatest common divisor of u and b? 2 Let d = 2609 + -2605. Let s = 11 - -1. What is the highest common factor of d and s? 4 Let p(j) = 2*j**2 + 11*j - 16. Let
{ "pile_set_name": "DM Mathematics" }
term in 1849, 1003, -277, -1997, -4163, -6781? -9857 What comes next: 4548, 6684, 8818, 10950, 13080, 15208, 17334? 19458 What is next in -1165080, -1165079, -1165078, -1165077, -1165076, -1165075? -1165074 What is the next term in -973522070, -973522069, -973522068, -973522067, -973522066? -973522065 What is next in -19528513, -78114060, -175756639, -312456250, -488212893? -703026568 What is next in -1343, -2639, -3955, -5291? -6647 What is the next term in 4558749, 9118483, 13678203, 18237903, 22797577? 27357219 What comes next: -1148, -1092, -1118, -1268, -1584, -2108, -2882, -3948? -5348 What is the next term in 10589352, 21178702, 31768052, 42357402, 52946752? 63536102 What is next in -722798, -722809, -722820, -722831? -722842 What comes next: -19399, -38845, -58381, -78061, -97939, -118069, -138505? -159301 What is the next term in 16121455, 32242775, 48364107, 64485457, 80606831, 96728235, 112849675? 128971157 What comes next: 21528, 21457, 21400, 21357? 21328 What comes next: 291, 337, 343, 291, 163, -59, -393? -857 What comes next: -246, -383, -462, -453, -326, -51, 402, 1063? 1962 What is the next term in 2392, 2240, 2066, 1858, 1604, 1292? 910 What is the next term in -286, -1037, -2298, -4129, -6590, -9741? -13642 What comes next: -66874, -133752, -200630? -267508 What comes next: -51377017, -102754035, -154131055, -205508077, -256885101, -308262127, -359639155? -411016185 What comes next: 66702215, 66702214, 66702213, 66702212? 66702211 What is the next term in 29911, 32825, 35739? 38653 What is next in 617, 5030, 17009, 40334, 78785, 136142? 216185 What comes next: -16611, -16628, -16657, -16698, -16751, -16816, -16893? -16982 What is next in 5961, 14877, 29737, 50541? 77289 What comes next: -12706, -23919, -42616, -68803, -102486? -143671 What is next in 942361, 1884786, 2827211, 3769636, 4712061? 5654486 What comes next: -185824, -185786, -185722, -185632, -185516, -185374? -185206 What is the next term in -250834, -501833, -752836, -1003843, -1254854, -1505869, -1756888? -2007911 What is next in 27980, 112757, 254352, 452765, 707996, 1020045? 1388912 What comes next: -983003, -982982, -982961, -982940, -982919, -982898? -982877 What is the next term in -19793, -78275, -175745, -312203, -487649? -702083 What is next in -22823799, -45647596, -68471393, -91295190, -114118987? -136942784 What is the next term in -136541, -136538, -136545, -136574, -136637? -136746 What is next in -118, 4327, 11736, 22109? 35446 What comes next: -140003665, -140003664, -140003663, -140003662, -140003661? -140003660 What is the next term in -31482, -31520, -31552, -31578, -31598, -31612, -31620? -31622 What comes next: 6697, 15520, 30225, 50812? 77281 What is the next term in 858, 4167, 9678, 17385, 27282, 39363? 53622 What comes next: -32268, -64517, -96764, -129009, -161252? -193493 What is the next term in -52702, -84633, -116564? -148495 What is next in -1618, -1636, -1666, -1726, -1834? -2008 What is the next term in -2870531, -2870507, -2870437, -2870297, -2870063, -2869711, -2869217, -2868557? -2867707 What comes next: -89856, -359382, -808592, -1437486, -2246064? -3234326 What comes next: -2285, -5645, -10065, -15545, -22085? -29685 What is the next term in -2616, -10745, -24402, -43599, -68348? -98661 What comes next: 36331, 68872, 101413? 133954 What is next in 22934, 46377, 69820, 93263, 116706, 140149? 163592 What is next in 1985687, 1985669, 1985639, 1985597, 1985543, 1985477? 1985399 What is the next term in -68064, -68062, -68060, -68058, -68056, -68054? -68052 What comes next: -2445, -3279, -4113? -4947 What comes next: -1842888, -3686281, -5529674? -7373067 What comes next: 271143, 272654, 274165, 275676, 277187, 278698? 280209 What is the next term in 1803, 7020, 15711, 27876, 43515, 62628? 85215 What comes next: -5166, -20700, -46570, -82770, -129294, -186136, -253290? -330750 What comes next: -898, -2203, -4396, -7477, -11446? -16303 What is the next term in 1312867, 2625743, 3938619, 5251495? 6564371 What is the next term in 211822, 423636, 635450, 847264, 1059078? 1270892 What is the next term in 2280529, 2280543, 2280557? 2280571 What is the next term in -194359, -388583, -582807, -777031? -971255 What is the next term in -1107, -1208, -1181, -1002, -647, -92, 687? 1714 What is the next term in -414297, -828608, -1242919? -1657230 What is next in 10532, 13979, 19722, 27761, 38096? 50727 What is the next term in -44207, -88641, -133077, -177515, -221955? -266397 What is next in -212910, -424937, -636964, -848991, -1061018? -1273045 What comes next: -1430, -6222, -17748, -39374, -74466? -126390 What is the next term in -3075, -4059, -5047, -6045, -7059, -8095, -9159, -10257? -11395 What comes next: -365726589, -365726586, -365726583, -365726580, -365726577, -365726574? -365726571 What comes next: 622975, 623051, 623251, 623635, 624263? 625195 What is the next term in 38923, 38441, 37639, 36517? 35075 What is next in 5659, 11787, 18831, 27247, 37491, 50019, 65287, 83751? 105867 What comes next: 7096, 14088, 21070, 28036, 34980, 41896, 48778, 55620? 62416 What is the next term in -6733, -13285, -19593, -25603, -31261, -36513, -41305? -45583 What is next in 8554251, 8554249, 8554247? 8554245 What is the next term in 72129, 72107, 72085, 72063, 72041, 72019? 71997 What is the next term in 1472, 6823, 21400, 49817, 96688, 166627, 264248? 394165 What is the next term in 819, 6589, 22247, 52731, 102979, 177929, 282519? 421687 What comes next: -339743, -340260, -340777, -341294, -341811, -342328? -342845 What comes next: 239, -123, -823, -2029, -3909, -6631, -10363? -15273 What comes next: -118491, -118535, -118603, -118695, -118811, -118951, -119115? -119303 What comes next: 434885, 870099, 1305313, 1740527, 2175741? 2610955 What is the next term in 1479, -2679, -13953, -35901, -72081, -126051? -201369 What comes next: 123988236, 123988233, 123988228, 123988221, 123988212? 123988201 What is the next term in -16046, -28422, -40810, -53216, -65646, -78106, -90602, -103140? -115726 What is next in -2237, -1882, -1299, -494, 527, 1758, 3193? 4826 What comes next: 921574, 1843196, 2764818, 3686440? 4608062 What is next in -44631, -89353, -134137, -178977, -223867, -268801, -313773? -358777 What is the next term in -10956885, -21913777, -32870665, -43827549? -54784429 What is next in 50, -7797, -15644, -23491? -31338 What comes next: 67902, 70174, 72446, 74718? 76990 What comes next: 123902, 123946, 124020, 124124, 124258, 124422, 124616? 124840 What comes next: -2280, -17217, -57762, -136719, -266892? -461085 What comes next: 13612, 27307, 41086, 54943, 68872, 82867, 96922, 111031? 125188 What comes next: 1439176, 1439261, 1439388, 1439545, 1439720, 1439901, 1440076? 1440233 What comes next: -4315, -4577, -4839? -5101 What is the next term in -358, -2839, -9564, -22651, -44218, -76383, -121264? -180979 What is next in -27819, -55073, -82303, -109509, -136691? -163849 What is the next term in 45852176, 91704356, 137556536, 183408716? 229260896 What comes next: 28888, 34444, 40000? 45556 What is the next term in -90495, -98562, -106629, -114696, -122763? -130830 What comes next: -12986, -4730, 3526, 11782, 20038? 28294 What is the next term in 143035, 572785, 1289033, 2291779, 3581023? 5156765 What comes next: 9391, 37561, 84517, 150259, 234787, 338101? 460201 What is next in 98690470, 98690469, 98690468, 98690467? 98690466 What is next in -375898, -375325, -374742, -374143, -373522, -372873, -372190, -371467? -370698 What comes next: 1436138, 1436157, 1436188, 1436231? 1436286 What is the next term in 28661, 114140, 256611, 456074? 712529 What is the next term in 1756, 1139, -514, -3713, -8968, -16789, -27686, -42169? -60748 What comes next: 133998, 134366, 134978, 135834, 136934? 138278 What is next in 260568, 521022, 781482, 1041948? 1302420 What is the next term in -67622, -69741, -71860? -73979 What is next in -100574, -100533, -100490, -100445, -100398, -100349? -100298 What is the next term in 886, -157, -1192, -2213, -3214, -4189? -5132 What comes next: 315131, 630203, 945173, 1259993, 1574615, 1888991, 2203073, 2516813? 2830163 What comes next: -298943, -298953, -298963? -298973 What is next in -1518, -2813, -3892, -4755, -5402
{ "pile_set_name": "DM Mathematics" }
*x. 6985294 What is the derivative of 67406046*h**2 + 115569175 wrt h? 134812092*h Differentiate -983957969*w - 259988653 with respect to w. -983957969 Differentiate 429*a**2*f + 146922200*a**2 - 4752*f**2 wrt f. 429*a**2 - 9504*f What is the first derivative of -2*o**2 - 1253255*o - 6843177? -4*o - 1253255 Find the third derivative of 218052*t**6 + 7*t**4 - t**3 + 39*t**2 + 20024 wrt t. 26166240*t**3 + 168*t - 6 What is the third derivative of 80420*k**6 + 2517*k**4 + 71017*k**2 - 2850 wrt k? 9650400*k**3 + 60408*k What is the third derivative of 79*y**5 + 6566456*y**4 - 417216854*y**2? 4740*y**2 + 157594944*y What is the derivative of 3*f*p**2*u**3 + 16395945*f*p*u**3 + 406*p**2*u + 10398*u**3 wrt f? 3*p**2*u**3 + 16395945*p*u**3 What is the second derivative of 23030688*i**5 - 521*i + 28470 wrt i? 460613760*i**3 What is the third derivative of 81655470*z**4 - 147012*z**2 - 46*z? 1959731280*z What is the third derivative of -16*a*t**3*y - 128596*a*t**3 - 32*a*t**2 - 30*a*u + 2*a*y + t**3*u + 11*t**2 - 10*u wrt t? -96*a*y - 771576*a + 6*u What is the derivative of 13868640*b**2 + 6763841 wrt b? 27737280*b What is the second derivative of 24*r**3 + 10277188*r**2 + 476751261*r? 144*r + 20554376 What is the third derivative of -41342196*s**3 + 774*s**2 - 9664*s? -248053176 Find the second derivative of 42114*m**2*o - 4*m**2*z**3 - 2*m*o*z + 2896891*z**3 wrt m. 84228*o - 8*z**3 Find the third derivative of 577*d**3*y**2 + 33*d**3*y + 3541*d**3 - 2*d**2*y**2 - 44216398*y**2 wrt d. 3462*y**2 + 198*y + 21246 Find the second derivative of 2*i**5 + 2705*i**3 + 1041*i**2 + 146898285*i. 40*i**3 + 16230*i + 2082 Find the third derivative of -147459395*k**3 - 3088481*k**2 - 86. -884756370 Find the third derivative of 7679*z**6 - 54*z**4 - 3*z**3 - 11386430*z**2. 921480*z**3 - 1296*z - 18 What is the third derivative of 7429024*z**3 - 3*z**2 - 107*z + 220? 44574144 What is the derivative of 84357750*r**2 + r - 255579242 wrt r? 168715500*r + 1 Find the first derivative of 15846564*b**2 - 6*b - 474494599 wrt b. 31693128*b - 6 Find the third derivative of 798*k**5 + 3*k**4 - 740*k**3 - 3214*k**2 - 2*k + 37 wrt k. 47880*k**2 + 72*k - 4440 Find the second derivative of 143253542*j**2 + 146477*j + 122. 286507084 What is the second derivative of 142*c**3*v - 639*c**3 - 6*c**2*v + c**2 - 8787*c*v - 4*c + 491*v wrt c? 852*c*v - 3834*c - 12*v + 2 What is the first derivative of 304*k**2 + 129800*k + 317102065? 608*k + 129800 Find the third derivative of -76908788*c**3 - 448933*c**2 + 14*c wrt c. -461452728 Find the third derivative of 46*b**2*p**4 + 2487946*b**2*p + 40526*p**4 + 2*p**2 wrt p. 1104*b**2*p + 972624*p Find the third derivative of -4*r**5 - 5*r**4 + 82227*r**3 + 18259482*r**2. -240*r**2 - 120*r + 493362 What is the derivative of -818224167*f**2*k - 396928308*f**2 wrt k? -818224167*f**2 What is the second derivative of -9728236*c**4 - 131*c + 19147 wrt c? -116738832*c**2 What is the second derivative of -26*j**2*t**2 + 394*j**2*t + 5*j*t**3 + 5*j*t**2 - 30*t**2 - 6436 wrt t? -52*j**2 + 30*j*t + 10*j - 60 Find the second derivative of -20523463*d**4 - 2*d + 2058621. -246281556*d**2 What is the derivative of -29033133*l - 8462540 wrt l? -29033133 What is the second derivative of -100836132*s**4 - 166299*s + 1976? -1210033584*s**2 Find the first derivative of -2*s*x**2*z - 506504*s*x**2 + 62*s*x*z + 93*s - 53205*z wrt z. -2*s*x**2 + 62*s*x - 53205 Differentiate -313241424*i + 297312001 wrt i. -313241424 What is the derivative of 467*n*s*y + 255*n*y - 155*n + 51*s*y - 1287*s - 2*y + 94 wrt s? 467*n*y + 51*y - 1287 Find the second derivative of -2*j**4 + 523576835*j**2 + 208841*j + 353. -24*j**2 + 1047153670 What is the third derivative of 529325611*c**4*v + c**3 - 2*c**2 + 13733904*c*v + 10*v wrt c? 12703814664*c*v + 6 Differentiate 21*w**2 + 6325474*w + 80105541. 42*w + 6325474 What is the second derivative of -d**2*h**2 + 2*d**2*h*p + 64*d**2*p**2 - 84*d*p - 15134592*h**2*p**2 + 5*h wrt h? -2*d**2 - 30269184*p**2 Find the first derivative of 3*u**3 - u**2 - 112809*u + 6202773 wrt u. 9*u**2 - 2*u - 112809 Find the third derivative of 889533*a**3*r + 5*a**3 - 3233*a**2*r + 2*a**2 + 312*a*r - 3*r wrt a. 5337198*r + 30 Find the first derivative of 4*f**3 + f**2 - 1709861*f + 25384227. 12*f**2 + 2*f - 1709861 Find the third derivative of 287*b**3*m**3 + 7*b**3*m**2 + 4321*b**3*m + 2*b**2*m**2 + 22*b**2 + 7261404*m**3 - 2 wrt b. 1722*m**3 + 42*m**2 + 25926*m Differentiate -2688*b*q + 47686*b - 244988611*q wrt b. -2688*q + 47686 Differentiate -124*b**4*g - 41179*b**3*g**2 + 154*g**2 - 6*g - 6252 with respect to b. -496*b**3*g - 123537*b**2*g**2 What is the derivative of 559424*n**2 - 93*n + 123477261 wrt n? 1118848*n - 93 Find the second derivative of -606393165*r**5 + 176*r - 923892 wrt r. -12127863300*r**3 Find the second derivative of 26326459*t**3 - 391*t - 6155 wrt t. 157958754*t Find the first derivative of 7*l**4 + 57683*l**3 + l**2 - 19925398 wrt l. 28*l**3 + 173049*l**2 + 2*l Find the first derivative of -1140034*c*y**2 + 2*c*y - 7439521*y**2 wrt c. -1140034*y**2 + 2*y Differentiate -7596017*d**3*w - 6761943*d**3 with respect to w. -7596017*d**3 Find the third derivative of -211502487*t**4 - 291513325*t**2 wrt t. -5076059688*t Differentiate 118414103*a**4*k**2 - 2*a**4*k - 7*k**2 - 1014772 with respect to a. 473656412*a**3*k**2 - 8*a**3*k Find the first derivative of 1138*v**2 - 138*v*w - 1035*v + 4318917*w + 20 wrt v. 2276*v - 138*w - 1035 What is the third derivative of 4346304*q**6 - 16*q**2 + 50560*q + 1 wrt q? 521556480*q**3 What is the derivative of -2*g**4*y + 26453214*g**3*y**3 - 2*y**3 + 23517880*y wrt g? -8*g**3*y + 79359642*g**2*y**3 Find the second derivative of 15851*q**3*w + 3*q**3 + 3*q**2*w - 23*q**2 - 590*q*w + 31*q + 63*w - 5 wrt q. 95106*q*w + 18*q + 6*w - 46 Find the second derivative of -m**4 + 2*m**3 - 113742032*m**2 + 1050088080*m. -12*m**2 + 12*m - 227484064 Find the first derivative of 2*l**3 - 140215*l**2 - 2*l - 42310 wrt l. 6*l**2 - 280430*l - 2 Find the first derivative of 118147868*n**2 - 177675566. 236295736*n Find the third derivative of 96943078*o**3 - 418179*o**2 - 69 wrt o. 581658468 What is the third derivative of 250249266*a**3 - 47765521*a**2? 1501495596 What is the third derivative of 133371597*r**3 - 93543320*r**2 wrt r? 800229582 Differentiate -29439*p**3 - 81*p**2 + 8270111. -88317*p**2 - 162*p What is the second derivative of 19740861*k**3 + 20999612*k wrt k? 118445166*k What is the second derivative of -276*c*d*g**2 - 753*c*d*g - 9646*c*d + 992*c*g**2 - 2*c*g - d*g**2 + 15*g**2 wrt g? -552*c*d + 1984*c - 2*d + 30 Find the second derivative of 824356*h**2*s**2 + 2194338*h**2 + 24*h*s**2 + 11*s wrt s. 1648712*h**2 + 48*h What is the derivative of -o**2*p**2 + 7*o**2*p*x - 2*o**2 + 3266815*o*p**3*x - 6979*o*p**3 + 4*o + 38*p wrt x? 7*o**2*p + 3266815*o*p**3 What is the second derivative of 19901035*y**2 + 100*y + 74241? 39802070 What is the second derivative of 26010*r**4 - 65*r**2 - r - 69557904 wrt r? 312120*r**2 - 130 Find the third derivative of 706305867*z**3 + 1074977147*z**2. 4237835202 What is the second derivative of 2*d**2*v**2*y + 98*d**2*v + d**2*y**2 - 40126738*d*v**2*y**3 - 67705*d*v*y**3 - d*v + 6*v wrt v? 4*d**2*y - 80253476*d*y**3 What is the second derivative of 625334354*a**3 + 77476887*a? 3752006124*a Differentiate -s**3 + 9427785*s**2 + 22325381. -3*s**2 + 18855570*s Find the first derivative of 699*v**2*y + v**2 + 264*v*y - 15*v - 437284351*y wrt v. 1398*v*y + 2*v + 264*y - 15 Differentiate -127280*a**3*j + a**3 + 2*a**2*j - a**2 + 17594*a - 8*j + 604 wrt j. -127280*a**3 + 2*a**2 - 8 What is the first derivative of 270*s**2*t*z - 4669*s**2*t - 66536*s*t*z - 5555*s*t wrt z? 270*s**2*t - 66536*s*t What is the second derivative of 203701041*x**2 + 880024399*x? 407402082 Find the second derivative of 9*j**2*u**2 - 28*j**2*u + 22026*j**2 - 2356*j*u**2 + 106*u**2 - 7*u wrt u. 18*j**2 - 4712*j + 212 What is the second derivative of 84403*k**2*u**2 - 117*k**2*u - 3*k**2 + 4964*k - 33*u**2 - 2*u wrt u? 168806*k**2 - 66 Find the second derivative of 2566408*b**3*l**2 - 805978*b**3*l - 22*b**3 + 4*l**3 wrt l. 5132816*b**3 + 24*l Find the third derivative of -94*g*u**3 + 420*g*u**2 + 2*g - 116052*u*
{ "pile_set_name": "DM Mathematics" }
/7 - 96782*p**2 + 14342929080*p/7 - 3585689928/7. 2*(p - 42342)**2*(4*p - 1)/7 Factor -3*v**3 - 1018*v**2 + 2732*v - 1368. -(v - 2)*(v + 342)*(3*v - 2) Solve 439*s**2 + 26777*s - 122 = 0. -61, 2/439 Solve 5*b**4 + 3700*b**3 + 11035*b**2 - 14740*b = 0 for b. -737, -4, 0, 1 Find i, given that 6*i**4 - i**3 - 33*i**2 + 45*i - 17 = 0. -17/6, 1 Suppose k**3/6 - 19125*k**2 + 1097296875*k/2 = 0. Calculate k. 0, 57375 Factor -g**2/6 - 15*g/2 + 1073/3. -(g - 29)*(g + 74)/6 Find t, given that -2*t**5 + 2*t**4 + 588*t**3 - 6076*t**2 + 19894*t - 14406 = 0. -21, 1, 7 Determine n, given that -4*n**4 - 2792*n**3 - 8324*n**2 + 11120*n = 0. -695, -4, 0, 1 Factor 5*w**3 + 19020*w**2. 5*w**2*(w + 3804) What is t in -3*t**4 + 23547*t**3 + 141354*t**2 + 282756*t + 188520 = 0? -2, 7855 Factor -3*x**3 + 5067*x**2 - 2131920*x - 6441444. -3*(x - 846)**2*(x + 3) Factor 3*x**3 + 906*x**2 + 8787*x + 7884. 3*(x + 1)*(x + 9)*(x + 292) Let -3*y**2 - 9504*y - 28485 = 0. What is y? -3165, -3 Factor 2*x**3/11 + 1954*x**2/11 + 5848*x/11 + 3896/11. 2*(x + 1)*(x + 2)*(x + 974)/11 Factor -d**3 - 91*d**2 - 356*d + 25564. -(d - 14)*(d + 22)*(d + 83) Factor 4*g**3 - 61407*g**2/2 + 58917138*g + 7365122. (g - 3838)**2*(8*g + 1)/2 Find j, given that 3*j**2 + 252*j - 783 = 0. -87, 3 Solve 2*o**5 - 2*o**4 - 12*o**3 - 4*o**2 + 10*o + 6 = 0 for o. -1, 1, 3 Find i, given that -3*i**5/5 - 312*i**4/5 - 11361*i**3/5 - 171528*i**2/5 - 959556*i/5 - 348816 = 0. -43, -26, -5, -4 Factor -2*q**2 + 228*q + 1190. -2*(q - 119)*(q + 5) Suppose -j**3/5 - 11*j**2/5 + 26*j/5 = 0. Calculate j. -13, 0, 2 Solve -w**4/4 - 1241*w**3/2 - 2479*w**2/4 + 2481*w/2 = 0 for w. -2481, -2, 0, 1 Factor -3*k**2 - 1613928*k - 217063632432. -3*(k + 268988)**2 What is l in 4*l**5 - 29376*l**4 + 527796*l**3 - 2373624*l**2 = 0? 0, 9, 7326 Factor -4*o**2 + 135472*o + 270960. -4*(o - 33870)*(o + 2) Factor -f**2/8 - 161*f/8 - 290. -(f + 16)*(f + 145)/8 Suppose b**4/2 + 343*b**3/2 - 866*b**2 + 1390*b - 696 = 0. Calculate b. -348, 1, 2 Find g such that -g**2 + 84986*g - 1805655049 = 0. 42493 Let -5*q**3 - 9250*q**2 - 128585*q - 119340 = 0. What is q? -1836, -13, -1 Determine d, given that 51*d**4 + 423*d**3 - 1395*d**2 + 1317*d - 396 = 0. -11, 12/17, 1 Find w such that 3*w**3 - 11283*w**2 - 22578*w = 0. -2, 0, 3763 Find r such that -225*r**4 - 1565*r**3 - 1280*r**2 + 60*r = 0. -6, -1, 0, 2/45 Factor -w**4/8 - 155*w**3/2 - 921*w**2/2. -w**2*(w + 6)*(w + 614)/8 Find o, given that 12996*o**3 + 209210520*o**2 + 14681392*o + 257568 = 0. -16098, -2/57 Solve -4*p**3 - 36*p**2 + 88*p + 480 = 0 for p. -10, -3, 4 Solve -2*p**4 - 390*p**3 - 13912*p**2 = 0. -148, -47, 0 Factor -a**3 - 111*a**2 - 2306*a - 13416. -(a + 12)*(a + 13)*(a + 86) Determine r so that -4*r**3 + 2924*r**2 - 11648*r + 11632 = 0. 2, 727 Solve 2*w**5/3 + 422*w**4/15 + 360*w**3 + 5832*w**2/5 - 7776*w/5 = 0. -18, -36/5, 0, 1 Solve -2*t**3/7 + 1716*t**2/7 - 11898*t/7 - 13616/7 = 0. -1, 8, 851 Solve 4*h**5 - 772*h**4 + 40440*h**3 - 477440*h**2 + 1373696*h + 1892352 = 0. -1, 8, 66, 112 Factor -4*g**3 - 51420*g**2 - 154232*g - 102816. -4*(g + 1)*(g + 2)*(g + 12852) Factor 5*j**3 - 515*j**2 + 13160*j. 5*j*(j - 56)*(j - 47) Factor 2*h**4/5 - 1352*h**3/5 - 4074*h**2/5. 2*h**2*(h - 679)*(h + 3)/5 Solve 2*u**4/5 + 84*u**3/5 + 1242*u**2/5 + 7776*u/5 + 17496/5 = 0 for u. -18, -9, -6 Find z such that 2*z**4/13 - 844*z**3 + 15168306*z**2/13 - 25363888*z + 1806245408/13 = 0. 11, 2732 Suppose -4*p**3/5 - 5584*p**2/5 + 4480*p = 0. Calculate p. -1400, 0, 4 Find t such that 3*t**2 - 274716*t - 1373655 = 0. -5, 91577 Factor 2*z**3/5 - 1072*z**2/5 + 4262*z/5 - 3192/5. 2*(z - 532)*(z - 3)*(z - 1)/5 What is i in 20*i**4 - 105*i**3 - 3960*i**2 - 3545*i + 7590 = 0? -11, -2, 1, 69/4 Factor -20*q**3 + 334195*q**2 - 1396036950*q - 349030125. -5*(q - 8355)**2*(4*q + 1) Suppose -2*b**3 + 1552*b**2 - 9186*b - 41580 = 0. What is b? -3, 9, 770 Determine s so that -2116*s**5/7 + 1610*s**4 - 3282*s**3/7 - 832*s**2/7 - 40*s/7 = 0. -2/23, 0, 1/2, 5 Factor -2*x**2/9 - 5812*x/9 - 57920/9. -2*(x + 10)*(x + 2896)/9 Let -2*b**3/9 + 134*b**2/9 - 1532*b/9 + 848/3 = 0. What is b? 2, 12, 53 Determine l so that l**2/3 - 3152*l/3 = 0. 0, 3152 Factor 2*i**2/11 - 3558*i/11 - 71172. 2*(i - 1977)*(i + 198)/11 Determine a so that 5*a**4 - 36388*a**3 - 160221*a**2 + 123784*a + 72820 = 0. -5, -2/5, 1, 7282 Solve 4*a**2 + 3128*a + 9348 = 0. -779, -3 Factor -2*f**4 + 338*f**3 + 1378*f**2 + 1038*f. -2*f*(f - 173)*(f + 1)*(f + 3) Find b such that 4*b**2 + 30480*b - 30484 = 0. -7621, 1 What is s in 3*s**2/4 - 1182*s + 465708 = 0? 788 Find d such that -3*d**4 + 5988*d**3 + 30018*d**2 - 5988*d - 30015 = 0. -5, -1, 1, 2001 Determine v so that -v**5 - 1982*v**4/3 - 326036*v**3/3 + 437582*v**2/3 - 109561*v/3 = 0. -331, 0, 1/3, 1 Solve 4*d**2 + 16704*d - 16708 = 0 for d. -4177, 1 Let -2*r**3 + 252*r**2 - 4366*r - 4620 = 0. Calculate r. -1, 22, 105 Suppose -4*g**5 + 388*g**4 - 5528*g**3 - 188776*g**2 - 897636*g - 714780 = 0. Calculate g. -11, -5, -1, 57 Factor 15*u**2 - 6102*u - 12264. 3*(u + 2)*(5*u - 2044) Find r such that -4*r**4 - 12196*r**3 - 9228856*r**2 + 103317840*r + 243453600 = 0. -1530, -2, 13 Find g such that 3*g**4 - 525*g**3 + 1548*g**2 + 12*g - 2064 = 0. -1, 2, 172 Factor c**3/2 + 563*c**2/4 - 429*c/2 - 2547/4. (c - 3)*(c + 283)*(2*c + 3)/4 Factor -4*x**3 - 64*x**2 - 16*x + 1344. -4*(x - 4)*(x + 6)*(x + 14) Suppose -j**3 + 21095*j**2 - 111260303*j + 111239209 = 0. What is j? 1, 10547 Solve 2*l**5/7 - 90*l**4 + 9868*l**3 - 3055532*l**2/7 + 45780810*l/7 + 48906050/7 = 0. -1, 43, 115 Factor -2*l**2 - 915728*l - 104819721248. -2*(l + 228932)**2 Let -9*y**4/5 - 57837*y**3/5 - 192718*y**2/5 - 179852*y/5 - 51384/5 = 0. What is y? -6423, -2, -2/3 Solve -10324*d**2 - 20597*d + 102 = 0 for d. -2, 51/10324 Factor 1614784205*f**2 + 9165210*f + 13005. 5*(17971*f + 51)**2 Determine k so that -4*k**2 - 649712*k - 26382855184 = 0. -81214 Suppose -3*z**2 - 146298*z - 1783592067 = 0. What is z? -24383 Factor 5*m**3 + 520*m**2 - 255*m - 130050. 5*(m - 15)*(m + 17)*(m + 102) Factor -5*v**3/6 - 25435*v**2/2 + 152655*v/2 - 229005/2. -5*(v - 3)**2*(v + 15267)/6 Factor 5*u**3 - 40900*u**2 + 367765*u - 571970. 5*(u - 8171)*(u - 7)*(u - 2) Factor -3*a**2/4 + 16551*a - 91311867. -3*(a - 11034)**2/4 Factor -5*g**4 - 8920*g**3 + 5639040*g**2 - 1046988800*g + 63022530560. -5*(g - 176)**3*(g + 2312) Factor x**3/3 + 43*x**2/3 + 12*x - 84. (x - 2)*(x + 3)*(x + 42)/3 Factor -68*y**2 + 1424*y - 3600. -4*(y - 18)*(17*y - 50) Factor -5*y**3 + 19575*y**2 - 18892035*y - 524453535. -5*(y - 1971)**2*(y + 27) Find p, given that -5*p**4 - 55490*p**3 - 154012485*p**2 - 307858520*p - 153901520 = 0. -5548, -1 Find g such that -5*g**4 - 40*g**3 + 115*g**2 + 150*g = 0. -10, -1, 0, 3 Factor -2*u**3 + 14*u**2 + 1088*u - 12800. -2*(u - 16)**2*(u + 25) Suppose 2*l**5/5 - 368*l**4/5 + 14984*l**3/5 + 179284*l**2/5 + 427382*l/5 + 263452/5 = 0. Calculate l. -7, -2, -1, 97 Find y such that -2*y**3/11 + 3548*y**2/11 + 2*y/11 - 3548/11 = 0. -1, 1, 1774 Solve 13*w**3/9 + 6290*w**2/9 + 760364*w/9 - 117128/9 = 0. -242, 2/13 Factor 5*m**2 - 75240*m - 2941965. 5*(m - 15087)*(m + 39) Factor -3*y**3/2 - 10452*y**2 - 166944*y - 667392. -3*(y + 8)**2*(y + 6952)/2 Factor -52371*y**2/8 - 26183*y/4 + 5/8. -(y + 1)*(52371*y - 5)/8 Let -3*l**2/5 + 691623*l/5 = 0. What is l? 0, 230541 Find d such that 3*d**5/7 + 963*d**4/7 + 18918*d**3/7 + 1788*d**2/7 - 154296*d + 151200 = 0. -300, -14, 1, 6 Solve 8*l**4/5 - 20266*l**3/5 + 65786*l**2/5 - 3036*l = 0. 0, 1/4, 3, 2530 What is w in 2*w**2/15 + 2262*w/5 - 54416/15 = 0? -3401, 8 Factor -2*u**2/3 - 838*u/3 - 1380. -2*(u + 5)*(u + 414)/3 Find q, given that 2*q**2 + 5084*q + 30432 = 0. -2536, -6 Factor -l**3 - 15*l**2 - 32*l + 132. -(l - 2)*(l + 6)*(l + 11) Factor -s**5/3 - 97*s**4/3 - 740*s**3. -s**3*(s + 37)*(s + 60)/3 Let -2*t**2 - 37388*t - 174732818 = 0. Calculate t. -9347 Factor -738200*d**3 + 590660*d**2 - 118192*d + 16. -4*(5*d - 2)**2*(7382*d - 1) Determine a so that 3*a**4/5 - 5958*a**3/5 + 2952171*a**2/5 + 5946108*a/5 - 8892324/5 = 0. -3, 1, 994 What is t in -t**4/2 - 24*t**3 - 69*t**2 - 68*t - 45/2 = 0? -45, -1 Factor -4*y**3/7 - 108700*y**2/7 - 738317548*y/7 + 2215931052/7. -4*(y - 3)*(y + 13589)**2/7 Suppose 5*l**4/8 - 237*l**3/8 + 1747*l*
{ "pile_set_name": "DM Mathematics" }
s divided by n. 6 Suppose -5*n = c - 18, 2*c - 12 = -3*n + 31. Calculate the remainder when c is divided by 6. 5 Suppose -11 = -2*b + 2*f + 1, 5*b - 40 = -5*f. What is the remainder when 19 is divided by b? 5 Suppose -3*o + 2*d = -148, -d = -5*o - 3*d + 236. Calculate the remainder when o is divided by 25. 23 Suppose -3*p + 12 = -0. Let t(k) = -k**3 + 6*k**2 - 4*k - 4. What is the remainder when 35 is divided by t(p)? 11 Suppose 5*k + 146 = 3*p, -2*k + 2*p = 61 - 1. Let n = k - -114. What is the remainder when n is divided by 22? 20 Let n be (6/(-12))/(1/(-6)). Suppose 3*q + 5*s - 25 = 14, -n*s = -4*q + 52. Calculate the remainder when q is divided by 4. 1 What is the remainder when 5/((-75)/115)*-3 is divided by 8? 7 Suppose -161 = -4*y + 15. Suppose -26 = -3*j - w - 0*w, 3*w + 52 = 4*j. Let l = 25 - j. Calculate the remainder when y is divided by l. 14 Suppose 2*k - 3*j - 6 = -0*k, -14 = 2*k + 2*j. Let f(b) = 5*b**2 - 2*b - 3. Let o be f(k). Suppose -2*m = m - o. Calculate the remainder when m is divided by 9. 7 Suppose 2*a + 45 - 119 = 0. Calculate the remainder when a is divided by 19. 18 What is the remainder when ((-69)/12)/(1/(-8)) is divided by 16? 14 Suppose -3*x - 85 = -7*x + d, -5*d = 3*x - 58. Let g = x - 9. What is the remainder when g is divided by -2 + (8 - 1/(-1))? 5 What is the remainder when 39 is divided by (2/(-6))/((-5 + 1)/192)? 7 Suppose r = 2*r + 4, 0 = -2*k + 4*r + 48. Calculate the remainder when 21 is divided by k. 5 Suppose -25 = -5*a - 10. Suppose -2*v = -4*b + 34, -v = -a*v + 10. What is the remainder when 43 is divided by b? 10 Suppose -3*i + 4 + 5 = 0. Suppose 2*z = i*z - 9. Calculate the remainder when 26 is divided by z. 8 Let f be -18*1*12/8. Let w = -18 - f. What is the remainder when w is divided by 6? 3 Suppose -16 = -2*l - 6. Let w be (10/6)/(1/3). Suppose 82 = 4*c - 3*y + w, 5*y = c - 32. Calculate the remainder when c is divided by l. 2 Let t(r) = -8*r - 25. What is the remainder when t(-4) is divided by 3? 1 Suppose -31 - 79 = -2*j. Calculate the remainder when j is divided by (1 - -26) + (-10)/(-5). 26 Suppose -2*q - 2*q + 5*r + 132 = 0, 2*r = -4*q + 160. What is the remainder when q is divided by 13? 12 Suppose -7*h + 32 + 3 = 0. Calculate the remainder when 24 is divided by h. 4 What is the remainder when ((-74)/(-8))/((-13)/(-52)) is divided by 5? 2 Let q = -6 - -8. Calculate the remainder when 2 is divided by q. 0 Let o(b) = -b**3 - 5*b**2 - b + 4. Let f be o(-5). Suppose -4*v + f - 1 = 0. What is the remainder when 12 is divided by v/6*42/2? 5 Suppose -108*t = -107*t - 16. What is the remainder when 95 is divided by t? 15 Let g(x) = x - 14. Let v be g(0). Calculate the remainder when 37 is divided by 1 - (-1 - -3) - v. 11 Suppose -2*q + 76 = 4*z, 4*q + 2 = 3*q. What is the remainder when z is divided by 12? 8 Let k(m) = 2*m**2 - m - 1. Let j be k(2). Suppose 4*o + 7 = -3*a - 2*a, -5*a = -j*o + 25. What is the remainder when 14 is divided by ((-5)/(-2))/(1/o)? 4 Let p be (-74)/(-2) - (-2 - -2). Suppose -5*k + 8 = -p. Calculate the remainder when 15 is divided by k. 6 Let a = -30 - -42. Let z = a - 10. Suppose 4*c + 0*c - 28 = 0. What is the remainder when c is divided by z? 1 Suppose -21 - 3 = -3*x. What is the remainder when 79 is divided by x? 7 Suppose -8*i + 104 = -120. Calculate the remainder when 80 is divided by i. 24 Suppose 4*w - 23 = 5*n - 0*n, 0 = -2*n + 5*w + 1. Let f = n - -17. Calculate the remainder when 17 is divided by (-48)/(-5) + (-6)/f. 8 Let y(i) = -i**3 - 2*i**2 + 3*i - 1. Let d be y(-3). Let g = 0 - d. Let m = 1 - 0. Calculate the remainder when m is divided by g. 0 Suppose 0 = t - 3*t + 6. Calculate the remainder when 7 is divided by t. 1 Let h = -45 + 57. Calculate the remainder when 35 is divided by h. 11 What is the remainder when 22/2 + (-6 - -6) + -4 is divided by (-2 - -1)/(4/(-8))? 1 Calculate the remainder when (-1 - -29)/4*3 is divided by 8. 5 Let u(v) = -7*v - 13. Calculate the remainder when 29 is divided by u(-4). 14 Let d = -47 - -107. Suppose 0 = -4*w - w + d. Calculate the remainder when 45 is divided by w. 9 Let l = -36 - -40. Calculate the remainder when 6 is divided by l. 2 Suppose -3*q + 92 = 2*v, -3*q + 88 = -0*q + 4*v. Calculate the remainder when q is divided by 12. 8 Let k be (-4)/(-18) + (-148)/18. Let r = k - -12. Calculate the remainder when 11 is divided by r. 3 Let g = 8 + 4. What is the remainder when 160/12*(-15)/(-10) is divided by g? 8 Suppose 4*w + 0*w - 56 = 0. What is the remainder when w is divided by 8? 6 Let c = -60 + 37. Let q = c + 44. What is the remainder when q is divided by 8? 5 Let h(r) = -3*r + 4. What is the remainder when h(-6) is divided by 13? 9 Let b(s) be the first derivative of -3*s**2/2 - s - 1. What is the remainder when (14 - 4/(-2)) + -2 is divided by b(-3)? 6 Suppose p + 4*n = 0, -3*p = -5*p - 5*n + 3. Suppose -r - p*r + 75 = 0. Calculate the remainder when 28 is divided by r. 13 Let c be 1 - -1 - 6/3. Let a be 3 + 0/1 + c. Suppose -4 = 3*j - 1, 0 = a*n - 3*j - 30. What is the remainder when 25 is divided by n? 7 Suppose z - 5 - 1 = 0. What is the remainder when 39/2*(-4)/(-3) is divided by (-2)/z + (-86)/(-6)? 12 Let r(q) = -q + 1. Let x be r(4). Let w be 1 + x - (-4)/2. What is the remainder when 22 is divided by w + 11 - 2 - 1? 6 Let s = -24 - -34. Calculate the remainder when (-828)/(-21) - ((-25)/7 - -4) is divided by s. 9 Suppose 16*y = 15*y + 21. Calculate the remainder when 59 is divided by y. 17 Suppose 2*j - 3*d + 9 = 0, d + 3 = 3*j - 1. Suppose u - 7 = -0. Calculate the remainder when u is divided by j. 1 Let r be ((-3)/(-4))/((-2)/8). Let a be (-2)/6*r - -1. Suppose -4*j = 0, a*j + 30 = -3*y + 72. Calculate the remainder when y is divided by 5. 4 Suppose -10 = -4*a + 34. What is the remainder when 184 is divided by a? 8 Suppose -31*k - 87 = -34*k. What is the remainder when k is divided by 11? 7 Let n be 59*3*(-3)/(-9). Let j be (2 - n)/3 - 2. Calculate the remainder when 22 is divided by (-6)/j - 54/(-7). 6 Suppose -4*n + 61 = 13. Calculate the remainder when n is divided by 7. 5 Suppose -5*c - 56 = -6*q + 2*q, 5*c = 2*q - 48. Let p = 9 - c. Calculate the remainder when p is divided by 9. 8 Let d = 0 - -2. Let v = d + 1. Calculate the remainder when 8 is divided by v. 2 Suppose -4*v = -5*q - 100, -3*v + 7*v = -q + 100. What is the remainder when v is divided by 14? 11 What is the remainder when ((-30)/(-9))/(10/285) is divided by 24? 23 Let f = -1 - -5. Calculate the remainder when 11 is divided by f. 3 Let w = 57 + 7. Calculate the remainder when w is divided by 11. 9 Let z(u) = u**3 - u + 3. Let i be z(0). Let d be 10/(i*(-2)/(-24)). Suppose 2*f + 0*f = d. Calculate the remainder when 58 is divided by f. 18 Let y(u) = -2*u**3 + 44*u**2 + u - 18. Calculate the remainder when 4 is divided by y(22). 0 Suppose 2*c - 15 - 9 = 0. Suppose -6*p - c = -4*p. Let s(b) = b**3 + 8*b**2 + 10*b + 8. Calculate the remainder when s(p) is divided by 11. 9 Suppose -18 = -3*v - 0*v. Let a be (24/(-20))/((-3)/10). Let p(f) = -f**2 + 4*f + 4. Calculate the remainder when v is divided by p(a). 2 What is the remainder when 1/1*40/2*3 is divided by 16? 12 Let h(u) = u**2 + 4*u + 4. Let l = 2 + 15. What is the remainder when l is divided by h(-5)? 8 Let h(f) = -f - 1. Let y(m) = 11*m - 15. Let n(g) = -3*h(g) + y(g). What is the remainder when n(5) is divided by 20? 18 Let l = 21 - -13. Let x(f) = -f + 4. Let c be x(4). Suppose n = u + 15 - 0, -2*u + 6 = c. Calculate the remainder when l is divided by n. 16 Let k = 408 + -579. Let h(n) = -27*n + 1. Calculate the remainder when h(-2) is divided by 4/(-6)*k/6. 17 Suppose -2*t + 6 = -4*t. Let p = t + 4. What is the remainder when 1 - (p - 18)/1 is divided by 10? 8 Let u(b) = -6*b + 6. What is the remainder when u(-7) is divided by 11? 4 Calculate the remainder when ((-2)/(-4))/((-22)/(-880)) is divided by 3. 2 Let l be (-61)/(-4) + 1/(-4). Calculate the remainder when (-3 - -5) + 0 + l is divided by 6. 5 Let v(i) = 2*i. Let r be v(-2). Let m = r - -7. What is the remainder when 8 is divided by m? 2 Suppose 4 + 2 = 2*r. Let q = r + 46. Calculate the remainder when q is divided by 13. 10 Calculate the remainder when (-54)/(-15) + -4 + 214/10 is divided by 4. 1 Suppose -2 = 2*h -
{ "pile_set_name": "DM Mathematics" }
t) = 11*t. Let d(l) = -11*h(l) + 4*u(l). Let b(m) = -m**2 + 234. Give d(b(v)). v**2 - 234 Let o(w) = -w**2 + 706. Let p be o(0). Let b(u) = 22*u + 706 - p. Let f(r) = r**2. Calculate b(f(t)). 22*t**2 Let w(g) = 1140*g. Let k(b) = 10*b - 3. Determine k(w(s)). 11400*s - 3 Let s(h) = 5*h**2 + 2*h - 2. Let g(p) = -13*p**2 - 5*p + 5. Let y(n) = -2*g(n) - 5*s(n). Let i(r) be the first derivative of 7*r**2/2 - 2. What is i(y(x))? 7*x**2 Let f(a) = -11*a. Suppose 0 = -7*w + 3*w. Let y(d) = -d**2 + 13*d + 16. Let z be y(14). Let r(m) = -7 + w*m - z*m + 7. Give r(f(h)). 22*h Let x(k) be the first derivative of -228*k**3 - 217. Let f(u) = u**2. Calculate x(f(t)). -684*t**4 Suppose -46 = -f - 3*q, -38 = -3*f + 2*f + 5*q. Let z(w) = -20*w - 12*w + f*w. Let i(v) = 3*v**2. Give z(i(j)). 33*j**2 Let l(o) = 83*o**2 - 2. Let i(w) be the third derivative of -w**4/12 + w**2 - 5. What is i(l(t))? -166*t**2 + 4 Let n(g) = -g + 5. Let w be n(5). Let y(a) = -3*a**2 + 64*a - 19. Let f be y(21). Let d(t) = -2*t**2 + w*t**2 - 4*t**f. Let k(x) = -2*x**2. Give d(k(c)). -24*c**4 Let m(n) = 22*n**2. Let a(h) be the third derivative of -h**6/360 + 2*h**3/3 - 2*h**2. Let w(x) be the first derivative of a(x). Give m(w(r)). 22*r**4 Let d(v) be the third derivative of v**5/30 + 511*v**2. Let l(b) = -1 + 1 - 18*b**2. Give d(l(s)). 648*s**4 Let l(g) = 67*g. Let d(o) be the second derivative of o**3/6 + 2*o + 36. Calculate d(l(a)). 67*a Let b(k) = -3*k**2 - 2*k + 0*k + 2*k. Let c(h) = -h + 0*h + 5*h - 3*h. Give c(b(t)). -3*t**2 Let u(c) be the third derivative of -2*c**5/15 - c**2 + 59. Let n(o) = 8*o**2. Calculate n(u(s)). 512*s**4 Let n(d) = -960*d**2 - 3. Let i(h) = 4*h**2. Calculate n(i(g)). -15360*g**4 - 3 Let p(r) = -23*r**2 + 2*r - 17. Let l(s) = -16*s**2. Give p(l(d)). -5888*d**4 - 32*d**2 - 17 Let y(t) = 52*t**2 - 40*t. Let g(n) = -18*n**2 + 14*n. Let h(k) = -20*g(k) - 7*y(k). Let v(a) = 20*a. Determine h(v(b)). -1600*b**2 Let l be 1/(-1)*(7 - 7) + 12. Let r(k) = -9*k**2 - k**2 + l*k**2. Let s(n) = 2*n. Give r(s(h)). 8*h**2 Let n(x) = -5*x. Let g(c) = -3*c. Let i(a) = -10*g(a) + 4*n(a). Let l(w) = -2*w**2 + 14*w**2 - 10*w**2. What is l(i(y))? 200*y**2 Let n(a) = 164*a**2 + 4*a - a - 161*a**2 - 3*a. Let v(x) = 3 - 3 + 5*x. Calculate n(v(c)). 75*c**2 Let b(i) = -13*i**2 - 2*i. Let l(a) = -9*a - 11. Let y(k) be the first derivative of 5*k**2/2 + 6*k - 4. Let q(t) = 6*l(t) + 11*y(t). Calculate b(q(h)). -13*h**2 - 2*h Let k(i) = 4*i. Let m = -30 - -32. Let g(x) = -9*x**2 + 2*x - 2*x + 22*x**m. Determine g(k(n)). 208*n**2 Let q(j) = 67*j + 2. Let w(k) = -342*k - 11. Let f(y) = -11*q(y) - 2*w(y). Let u(s) = 2*s. Determine f(u(m)). -106*m Let j(f) be the first derivative of -16 + 0*f - 1/3*f**3 + 0*f**2. Let a(g) be the second derivative of 2*g**4/3 - 2*g. Calculate j(a(h)). -64*h**4 Let b(h) = -3*h. Suppose -5*x = -4*x - 2. Let i(o) = 26*o + 32*o + 7*o. Let a(y) = x*i(y) + 45*b(y). Let z(f) = 2*f**2. What is a(z(d))? -10*d**2 Let a(h) = 1101*h - 549*h - 540*h. Let p(b) = -11*b**2. Give p(a(l)). -1584*l**2 Let n(w) = 28168*w. Let q(h) = -28*h. Determine q(n(b)). -788704*b Let f(j) = 6*j. Let r(s) be the third derivative of -5*s**5/12 + 217*s**2. What is r(f(m))? -900*m**2 Let y(c) be the second derivative of 17*c**4/24 - 13*c**2/2 + 3*c. Let g(w) be the first derivative of y(w). Let x(u) = 2*u. Determine g(x(n)). 34*n Let v = -31 - -54. Let d(x) = 18*x + v*x - 44*x. Let w(u) = 7*u**2. Determine d(w(r)). -21*r**2 Let m(a) = -18*a. Let v(p) = -10*p**2 + 3*p - 30. What is m(v(y))? 180*y**2 - 54*y + 540 Let j(p) = -34*p. Let s(x) be the third derivative of x**5/30 + 89*x**2. What is s(j(w))? 2312*w**2 Let w(q) = q**2 + 4*q - 8. Let o be w(-3). Let l(g) = g + 14. Let b be l(o). Let n(s) = -b*s + 7*s + 3*s - 5*s. Let x(j) = -3*j. Determine n(x(z)). -6*z Suppose -2*b - 2*l - 2 = 0, -b - 5*l = -1 + 14. Let u(n) = 74*n**2 - 137*n**2 + 86*n**b. Let w(c) = c**2. Calculate w(u(g)). 529*g**4 Let r(p) = 5*p + 5. Let h(i) = -4*i - 4. Let t(m) = 6*h(m) + 4*r(m). Let s(q) = -q**2 + 3*q + 3. Let k(v) = -4*s(v) - 3*t(v). Let l(c) = -c. Determine k(l(a)). 4*a**2 Let m(y) = 13472*y**2 + 1. Let d(a) = 2*a. Determine d(m(n)). 26944*n**2 + 2 Let f(o) = 62*o + 56. Let i(z) = 13*z + 12. Let w(l) = 6*f(l) - 28*i(l). Let p(q) = -24*q. Determine w(p(n)). -192*n Let l(b) = -39*b - 1. Let i(z) be the third derivative of z**4/12 - 351*z**2. Give i(l(g)). -78*g - 2 Let w(r) = r**2. Let q(x) = x. Let l(o) = 3*o. Let u be -3*2/(-8)*-4. Let c(g) = u*l(g) + 8*q(g). What is w(c(b))? b**2 Let o(i) = 3*i**2. Let p(n) = -4799*n + 2. Give p(o(s)). -14397*s**2 + 2 Let m(a) be the first derivative of 2*a**3/3 - 71. Let z(o) = -11*o. What is m(z(w))? 242*w**2 Let r(n) = 13*n. Let a(z) = 5 + 4 - 13 - 3 - z. Let i(u) be the third derivative of -u**4/24 - u**3 - 4*u**2. Let x(p) = -6*a(p) + 7*i(p). What is x(r(t))? -13*t Let s = -33 - -38. Let l be 99/45 - 1/s. Let b(p) = 4*p**l + 0*p**2 - 6*p**2. Let h(n) = -10*n. Calculate b(h(d)). -200*d**2 Let h(s) = 7*s - 10. Let r(n) = 246*n. Calculate r(h(f)). 1722*f - 2460 Let j(m) = -7*m + m - 4*m. Let s(c) = -c. Let x(k) = -2*k. Let y(a) = 6*s(a) - 2*x(a). Calculate y(j(v)). 20*v Let n(m) = 2*m**2. Let g(p) = -122565*p. Calculate g(n(a)). -245130*a**2 Let w(n) = 3228*n + 28. Let m(p) = 2*p**2. Give w(m(s)). 6456*s**2 + 28 Let u(l) be the third derivative of 16*l**2 - 1/60*l**5 + 0*l**4 + 0*l + 0 + 0*l**3. Let j(g) = -7*g. Determine j(u(i)). 7*i**2 Suppose 3*s = 2*p - p - 16, 4*s = -12. Let r(i) = -8*i + 3*i + 2*i - p*i. Let n(x) = 0 + 0 - x**2. What is n(r(t))? -100*t**2 Let j(l) = l. Let s(g) = 3*g**2 - 2659*g - 5*g**2 + 2671*g. Determine s(j(f)). -2*f**2 + 12*f Let i(y) = 20*y. Let n(d) = -30987 + 8*d + 30987. Calculate i(n(k)). 160*k Let f(m) = -8*m. Let b(x) = -732108*x. Calculate b(f(o)). 5856864*o Let b(d) = 10*d**2 - 1. Let h(k) = 6*k**2 - 5*k + 5. Let n(q) = -3*q**2 + 3*q - 3. Let v(x) = -3*h(x) - 5*n(x). Calculate v(b(g)). -300*g**4 + 60*g**2 - 3 Let c(p) = p + 10. Let t be c(-5). Let b(x) = 5 + 0 - t*x**2 - 3 + 1. Let h(q) = -14*q**2 + 8. Let z(n) = 8*b(n) - 3*h(n). Let r(u) = 7*u. Calculate r(z(v)). 14*v**2 Let z(q) = -q**2 + 5. Let i(f) = -f**2 + 4. Let o(l) = 5*i(l) - 4*z(l). Let y(v) = -1 - v - 11 + 0. Determine o(y(j)). -j**2 - 24*j - 144 Let q(v) = -40890*v**2 - v. Let k(j) = 2*j. Determine q(k(i)). -163560*i**2 - 2*i Let d(h) = -8*h. Let n(w) = -111*w**2 + w + 11. Calculate n(d(k)). -7104*k**2 - 8*k + 11 Let h = 3 - 0. Let u(a) = h + 3*a - 6*a + a - a. Let i(b) = -12*b + 11. Let c(r) = 6*i(r) - 22*u(r). Let o(x) = -x. Give c(o(z)). 6*z Let j(d) = d**2. Let r(g) be the second derivative of 0*g**3 + 11/24*g**4 + 8*g + 0 - 3*g**2. Let u(q) be the first derivative of r(q). Give j(u(x)). 121*x**2 Let o(b) = -23649*b**2. Let g(i) = 2*i**2. Determine o(g(m)). -94596*m**4 Let p(b) = -b**3 - 16*b**2 - 16*b - 13. Let n be p(-15). Let o(y) = -2*y**2 + 4*y**n - 6 + 6. Let v(g) = -2*g + 4*g**2 - 5*g**2 + 2*g. What is v(o(f))? -4*f**4 Let z(m) = -8*m**2 - 2*m + 2. Let p(g) = -3*g**2 - g + 1. Let n(j) = -2*p(j) + z(j). Let i(c) = -241*c**2. Give i(n(b)). -964*b**4 Let h(k) = -6*k**2. Let n(p) be the first derivative of -2*p**2 + 10 + 359*p - 359*p. Calculate h(n(m)). -96*m**2 Let s be (-24)/(-16) - (-2)/4. Let m(k) = 0*k**2 + k**2 - 5*k**2 + s*k**2. Let g(c) = -55*c**2. Give g(m(p)). -220*p**4 Let l(s) = 6*s. Let c(d) = 176489*d - 1. Calculate l(c(h)). 1058934*h - 6 Let p(i) be the third derivative of -14*i**5/15 - 119*i**2. Let k(q) = 4*q**2. Give p(k(l)). -896*l**4 Let v(d) be the third derivative of 26*d**2 - 31/60*d**5 + 0*d + 0 + 0*d**4 + 1/6*d**3. Let r(c) = c. What is r(v(b))? -31*b**2 + 1 Let i(s) = -s. Let d = 4 + 12. Let o = d + -10. Let c(g) = -2*g - o*g + 0*g + 2*g. What is i(c(m))? 6*m Let p(o) = 3*o. Let u(m) = 2*m**2 - m. Let t be u(-1). Suppose 5*h = t*v - 8, -h - 3 = -2. Let q(f) = -2 - v + 3 + f. Give p(q(y)). 3*y Let z(h) = -76*h - 76. Let a be z(-1). Let k(y) be the third derivative of 0*y - 1/60*y**5 - 11*y**2 + 0 + 0*y**3 + a*y**4. Let o(m) = -16*m. What is k(o(x))? -256*x**2 Suppose 0 = -3*g - 15 + 39. Let z(n) = -10*n + 3*n + g*n. Let a(o) = -o**2. Give z(a(q)). -q**2 Let g(z) = -2*z**2 - 2*z**2 + 0*z**2. Let n(y) be the second derivative of y**3/3 - 529
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 119 What is 249957045 to the power of 1/10, to the nearest integer? 7 What is the tenth root of 88538580 to the nearest integer? 6 What is 4230748127 to the power of 1/9, to the nearest integer? 12 What is the third root of 5649835888 to the nearest integer? 1781 What is the third root of 173979792 to the nearest integer? 558 What is the third root of 25511353 to the nearest integer? 294 What is the square root of 78499740 to the nearest integer? 8860 What is 234019738 to the power of 1/6, to the nearest integer? 25 What is the ninth root of 766367567 to the nearest integer? 10 What is the square root of 83942799 to the nearest integer? 9162 What is the ninth root of 45420686 to the nearest integer? 7 What is 596585622 to the power of 1/3, to the nearest integer? 842 What is the eighth root of 116536005 to the nearest integer? 10 What is the fourth root of 115890481 to the nearest integer? 104 What is 74115115 to the power of 1/2, to the nearest integer? 8609 What is the tenth root of 88226875 to the nearest integer? 6 What is the third root of 67382118 to the nearest integer? 407 What is the cube root of 28652843 to the nearest integer? 306 What is the cube root of 934871574 to the nearest integer? 978 What is the square root of 79133901 to the nearest integer? 8896 What is the fourth root of 1276373370 to the nearest integer? 189 What is the cube root of 279803605 to the nearest integer? 654 What is 62020018 to the power of 1/2, to the nearest integer? 7875 What is 66918422 to the power of 1/2, to the nearest integer? 8180 What is the cube root of 1409932639 to the nearest integer? 1121 What is 400444755 to the power of 1/6, to the nearest integer? 27 What is 2731023251 to the power of 1/4, to the nearest integer? 229 What is the cube root of 617979421 to the nearest integer? 852 What is the third root of 4522820471 to the nearest integer? 1654 What is 353688349 to the power of 1/3, to the nearest integer? 707 What is 1304664513 to the power of 1/3, to the nearest integer? 1093 What is the tenth root of 1214887568 to the nearest integer? 8 What is the third root of 504279720 to the nearest integer? 796 What is 462407706 to the power of 1/3, to the nearest integer? 773 What is the seventh root of 643940138 to the nearest integer? 18 What is 141354291 to the power of 1/3, to the nearest integer? 521 What is the cube root of 293774988 to the nearest integer? 665 What is 36074220 to the power of 1/8, to the nearest integer? 9 What is the square root of 199465957 to the nearest integer? 14123 What is 1111136442 to the power of 1/2, to the nearest integer? 33334 What is 55471146 to the power of 1/2, to the nearest integer? 7448 What is the third root of 6788173005 to the nearest integer? 1893 What is the third root of 132533867 to the nearest integer? 510 What is the third root of 43859264 to the nearest integer? 353 What is 77605488 to the power of 1/10, to the nearest integer? 6 What is 11489135 to the power of 1/5, to the nearest integer? 26 What is 2473002673 to the power of 1/5, to the nearest integer? 76 What is the square root of 38629895 to the nearest integer? 6215 What is the square root of 537855768 to the nearest integer? 23192 What is the third root of 15728262 to the nearest integer? 251 What is the tenth root of 80534698 to the nearest integer? 6 What is 61149057 to the power of 1/7, to the nearest integer? 13 What is 20602857 to the power of 1/3, to the nearest integer? 274 What is 6155060 to the power of 1/2, to the nearest integer? 2481 What is the square root of 30538570 to the nearest integer? 5526 What is 221425566 to the power of 1/3, to the nearest integer? 605 What is the square root of 318486079 to the nearest integer? 17846 What is the square root of 65697952 to the nearest integer? 8105 What is the square root of 607230233 to the nearest integer? 24642 What is 20853528 to the power of 1/4, to the nearest integer? 68 What is the fourth root of 3504993741 to the nearest integer? 243 What is 144332370 to the power of 1/9, to the nearest integer? 8 What is the square root of 59535703 to the nearest integer? 7716 What is the square root of 42971266 to the nearest integer? 6555 What is the eighth root of 3309350386 to the nearest integer? 15 What is the fifth root of 24397546 to the nearest integer? 30 What is 66802073 to the power of 1/10, to the nearest integer? 6 What is the fifth root of 1607306861 to the nearest integer? 69 What is 2210310489 to the power of 1/3, to the nearest integer? 1303 What is the tenth root of 48373020 to the nearest integer? 6 What is 1825028907 to the power of 1/7, to the nearest integer? 21 What is the third root of 125012932 to the nearest integer? 500 What is the fifth root of 66372645 to the nearest integer? 37 What is 344224038 to the power of 1/2, to the nearest integer? 18553 What is the sixth root of 61768502 to the nearest integer? 20 What is the third root of 157114943 to the nearest integer? 540 What is the square root of 1367033601 to the nearest integer? 36973 What is the square root of 278491604 to the nearest integer? 16688 What is 447111651 to the power of 1/2, to the nearest integer? 21145 What is the cube root of 4615769442 to the nearest integer? 1665 What is 786223707 to the power of 1/9, to the nearest integer? 10 What is 113085804 to the power of 1/10, to the nearest integer? 6 What is the seventh root of 1616037925 to the nearest integer? 21 What is 17645346 to the power of 1/2, to the nearest integer? 4201 What is the square root of 580705083 to the nearest integer? 24098 What is the cube root of 30858516 to the nearest integer? 314 What is the third root of 2656011002 to the nearest integer? 1385 What is 108475008 to the power of 1/2, to the nearest integer? 10415 What is the square root of 1655434039 to the nearest integer? 40687 What is the third root of 401674868 to the nearest integer? 738 What is the square root of 221909838 to the nearest integer? 14897 What is the square root of 5236767366 to the nearest integer? 72366 What is 2171328606 to the power of 1/8, to the nearest integer? 15 What is the ninth root of 1998685587 to the nearest integer? 11 What is the square root of 150463731 to the nearest integer? 12266 What is the square root of 47658637 to the nearest integer? 6904 What is the cube root of 76120502 to the nearest integer? 424 What is the fifth root of 167679156 to the nearest integer? 44 What is 35277829 to the power of 1/3, to the nearest integer? 328 What is the square root of 61084178 to the nearest integer? 7816 What is 7383294108 to the power of 1/7, to the nearest integer? 26 What is 522994433 to the power of 1/2, to the nearest integer? 22869 What is 50337211 to the power of 1/2, to the nearest integer? 7095 What is the square root of 212975120 to the nearest integer? 14594 What is the tenth root of 2675798296 to the nearest integer? 9 What is the fourth root of 890550623 to the nearest integer? 173 What is 533411717 to the power of 1/7, to the nearest integer? 18 What is the third root of 1636871594 to the nearest integer? 1179 What is 210968911 to the power of 1/3, to the nearest integer? 595 What is the tenth root of 1820568 to the nearest integer? 4 What is the sixth root of 5320444 to the nearest integer? 13 What is the cube root of 1190627441 to the nearest integer? 1060 What is the fourth root of 469407525 to the nearest integer? 147 What is the cube root of 55696461 to the nearest integer? 382 What is the third root of 82784740 to the nearest integer? 436 What is the seventh root of 559451511 to the nearest integer? 18 What is the tenth root of 317710865 to the nearest integer? 7 What is the third root of 84479109 to the nearest integer? 439 What is the cube root of 174190671 to the nearest integer? 558 What is the third root of 2367181798 to the nearest integer? 1333 What is 1415786381 to the power of 1/8, to the nearest integer? 14 What is the third root of 520716487 to the nearest integer? 805 What is 390396869 to the power of 1/2, to the nearest integer? 19758 What is 129308841 to the power of 1/4, to the nearest integer? 107 What is 356247542 to the power of 1/2, to the nearest integer? 18875 What is the
{ "pile_set_name": "DM Mathematics" }
hat is the highest common divisor of 1160 and 3335? 145 What is the greatest common factor of 9570 and 580? 290 Calculate the highest common divisor of 473 and 11. 11 What is the highest common factor of 17 and 8653? 17 Calculate the greatest common divisor of 9 and 369. 9 Calculate the greatest common factor of 3087 and 9. 9 Calculate the greatest common factor of 228 and 988. 76 What is the greatest common factor of 98 and 14? 14 Calculate the greatest common divisor of 4674 and 38. 38 What is the greatest common factor of 28 and 224? 28 Calculate the greatest common divisor of 584 and 92. 4 What is the greatest common divisor of 448 and 64? 64 What is the greatest common divisor of 363 and 616? 11 What is the greatest common factor of 493 and 663? 17 Calculate the highest common divisor of 182 and 56. 14 What is the greatest common factor of 33 and 3? 3 What is the highest common factor of 9 and 711? 9 Calculate the highest common factor of 380 and 418. 38 What is the greatest common factor of 128 and 800? 32 What is the highest common factor of 4 and 76? 4 Calculate the greatest common factor of 42 and 819. 21 Calculate the highest common divisor of 7 and 21. 7 Calculate the greatest common factor of 7 and 5173. 7 Calculate the greatest common divisor of 310 and 70. 10 Calculate the highest common divisor of 1513 and 17. 17 Calculate the highest common divisor of 2236 and 3268. 172 Calculate the greatest common divisor of 13114 and 166. 166 Calculate the greatest common divisor of 17 and 289. 17 Calculate the greatest common divisor of 13 and 104. 13 Calculate the highest common divisor of 1503 and 9. 9 What is the highest common divisor of 12295 and 5? 5 What is the greatest common divisor of 1 and 522? 1 Calculate the greatest common factor of 1 and 37. 1 Calculate the greatest common factor of 7018 and 121. 121 Calculate the greatest common factor of 119430 and 90. 90 What is the highest common factor of 333 and 37? 37 Calculate the highest common factor of 852 and 3. 3 Calculate the highest common divisor of 26 and 806. 26 Calculate the highest common divisor of 930 and 93. 93 Calculate the highest common factor of 270 and 330. 30 What is the highest common factor of 37488 and 44? 44 Calculate the greatest common divisor of 10 and 6770. 10 Calculate the greatest common factor of 3040 and 720. 80 What is the greatest common factor of 3471 and 267? 267 Calculate the highest common divisor of 3240 and 340. 20 Calculate the greatest common divisor of 288 and 15. 3 What is the greatest common divisor of 9728 and 456? 152 Calculate the greatest common factor of 329 and 14. 7 Calculate the greatest common divisor of 112 and 7. 7 What is the highest common factor of 60 and 150? 30 Calculate the greatest common factor of 38 and 1159. 19 Calculate the highest common divisor of 3 and 3. 3 Calculate the highest common divisor of 495 and 264. 33 What is the greatest common divisor of 27 and 7128? 27 Calculate the highest common divisor of 28 and 2996. 28 Calculate the highest common divisor of 288 and 384. 96 What is the greatest common divisor of 38688 and 128? 32 Calculate the greatest common factor of 1300 and 75. 25 Calculate the highest common factor of 108 and 8235. 27 Calculate the highest common factor of 1334 and 232. 58 What is the highest common divisor of 2 and 358? 2 What is the highest common factor of 403 and 26? 13 Calculate the highest common factor of 102 and 18. 6 Calculate the greatest common divisor of 1384 and 8. 8 Calculate the greatest common factor of 65 and 1625. 65 What is the highest common divisor of 3150 and 980? 70 What is the highest common divisor of 10064 and 68? 68 What is the highest common divisor of 14 and 56? 14 What is the highest common factor of 105 and 195? 15 What is the greatest common divisor of 74 and 370? 74 What is the highest common divisor of 2884 and 14? 14 What is the highest common divisor of 186 and 54? 6 What is the highest common factor of 804 and 12? 12 Calculate the highest common factor of 45 and 45. 45 What is the greatest common factor of 312 and 234? 78 What is the highest common divisor of 19 and 20368? 19 What is the greatest common divisor of 189 and 36? 9 What is the highest common divisor of 12 and 38? 2 What is the greatest common factor of 189 and 504? 63 What is the highest common factor of 594 and 144? 18 What is the greatest common factor of 4061 and 917? 131 Calculate the greatest common factor of 55387 and 97. 97 Calculate the greatest common divisor of 2 and 625. 1 What is the greatest common divisor of 60 and 390? 30 What is the highest common factor of 1325 and 106? 53 What is the greatest common factor of 333 and 185? 37 Calculate the highest common factor of 34 and 6494. 34 What is the greatest common factor of 87 and 319? 29 Calculate the greatest common factor of 198 and 16038. 198 What is the highest common divisor of 198 and 88? 22 Calculate the highest common divisor of 714 and 8772. 102 What is the highest common factor of 105 and 75? 15 What is the highest common factor of 1534 and 208? 26 Calculate the highest common divisor of 414 and 126. 18 Calculate the greatest common factor of 9 and 12. 3 What is the highest common divisor of 50 and 50? 50 Calculate the highest common divisor of 2625 and 15. 15 What is the highest common divisor of 3047 and 143? 11 Calculate the highest common factor of 26 and 2054. 26 Calculate the highest common factor of 370 and 10. 10 What is the greatest common factor of 23 and 207? 23 What is the highest common divisor of 4462 and 97? 97 Calculate the highest common factor of 53 and 1431. 53 Calculate the greatest common divisor of 4592 and 410. 82 What is the greatest common factor of 45 and 5280? 15 What is the greatest common factor of 78 and 663? 39 Calculate the highest common divisor of 142 and 1349. 71 Calculate the greatest common factor of 36 and 48. 12 What is the greatest common divisor of 399 and 231? 21 What is the greatest common divisor of 24 and 78? 6 What is the greatest common divisor of 51 and 6? 3 What is the highest common divisor of 715 and 520? 65 What is the highest common divisor of 20 and 36? 4 What is the greatest common factor of 5 and 235? 5 Calculate the highest common divisor of 22 and 4499. 11 Calculate the highest common divisor of 450 and 18. 18 Calculate the greatest common factor of 14 and 13. 1 Calculate the highest common divisor of 286 and 1001. 143 What is the highest common divisor of 29315 and 41? 41 What is the greatest common divisor of 330 and 77? 11 What is the highest common factor of 23 and 690? 23 What is the greatest common divisor of 22 and 352? 22 What is the highest common factor of 24278 and 366? 122 Calculate the greatest common factor of 253 and 2189. 11 What is the highest common factor of 353 and 1? 1 What is the highest common divisor of 16367 and 13? 13 Calculate the highest common factor of 2044 and 56. 28 Calculate the highest common divisor of 310 and 320. 10 What is the highest common factor of 37 and 39257? 37 Calculate the highest common factor of 9544 and 16. 8 Calculate the greatest common divisor of 10 and 4390. 10 Calculate the greatest common factor of 232 and 261. 29 What is the highest common divisor of 1292 and 76? 76 Calculate the highest common factor of 920 and 115. 115 What is the greatest common divisor of 1458 and 6? 6 Calculate the greatest common factor of 817 and 38. 19 Calculate the highest common divisor of 56 and 14. 14 What is the highest common divisor of 1127 and 196? 49 What is the highest common divisor of 68 and 24? 4 Calculate the highest common divisor of 43 and 86. 43 What is the highest common divisor of 86 and 2021? 43 Calculate the highest common divisor of 3861 and 9. 9 Calculate the highest common factor of 28 and 770. 14 Calculate the greatest common factor of 3 and 22. 1 Calculate the greatest common factor of 35052 and 115. 23 What is the greatest common factor of 1344 and 63? 21 Calculate the greatest common factor of 2410 and 160. 10 What is the highest common factor of 72 and 18? 18 What is the greatest common divisor of 420 and 36? 12 Calculate the highest common factor of 1860 and 80. 20 Calculate the greatest common divis
{ "pile_set_name": "DM Mathematics" }
p(u) be the first derivative of 295*u**4/4 - u**2/2 + u + 251. What is the second derivative of p(y) wrt y? 1770*y Let j(f) = 53*f + 22. Let n(z) be the first derivative of -13*z**2 - 11*z - 7. Let o(d) = -4*j(d) - 7*n(d). What is the derivative of o(i) wrt i? -30 Let u(t) = -t**2 - 5*t + 7. Let k be u(-6). Suppose c - 2 = k. What is the second derivative of -6*s**5 - 10*s + c*s**4 - 3*s**4 + 0*s**4 wrt s? -120*s**3 Let w = 138 + -136. What is the third derivative of -31*c + 5*c**2 - w*c**2 + 2*c**4 + 32*c + 23*c**5 wrt c? 1380*c**2 + 48*c Suppose -3*s + s - 32 = -3*m, -2*m = 4*s. Find the third derivative of -j**6 + m*j**2 - 4*j**2 - 15*j**6 wrt j. -1920*j**3 Suppose 0 = 3*p - 8*p + 20. Find the second derivative of -3*r**p - 4*r**4 - 15*r**4 - 2*r - 2*r**4 wrt r. -288*r**2 Let q(t) = -t**3 - 2*t**2 - t - 2. Let l(z) = -422*z**3 - 8*z**2 + 238*z - 10. Let i(v) = -l(v) + 5*q(v). What is the third derivative of i(p) wrt p? 2502 Find the second derivative of 261 - 867*c - 521 + 260 - 881*c**4 + 53*c**4 wrt c. -9936*c**2 Let p(u) be the second derivative of -65*u**5/2 - 13*u**3/3 + 6*u**2 + 79*u + 3. Find the second derivative of p(t) wrt t. -3900*t Suppose -4*v + 26 = -2*k, 3*k = 5*v - 15 - 19. Suppose -2*z - 1 + v = 0. Find the second derivative of 3*l**z + 0*l - l - 6*l**2 wrt l. -6 Let m(u) be the first derivative of 0*u**3 + 0*u**2 + 3/4*u**4 - 16*u - 17. Differentiate m(q) with respect to q. 9*q**2 Let g(n) be the second derivative of 7*n**6/5 + 88*n**2 + 92*n. Differentiate g(m) wrt m. 168*m**3 Let o = -13 + 18. Suppose -115*q = -125*q + 50. What is the derivative of -3*u - q - o*u + 3*u wrt u? -5 Let q(r) = -15*r + 9. Let g(d) = 10*d - 6. Let b(h) = 8*g(h) + 5*q(h). Let n be b(2). Find the first derivative of -n*u**3 + 4 + 0*u**3 + 5 - 4 wrt u. -21*u**2 Let o(h) be the first derivative of h**8/420 + h**5/40 + 13*h**3/3 - 14. Let y(q) be the third derivative of o(q). Find the second derivative of y(v) wrt v. 48*v**2 Let w(k) = 5*k**4 + 40*k**3 - 4*k**2 + 32*k - 3. Let o(v) = -2*v**4 + v**2 - v + 1. Let t(u) = -3*o(u) - w(u). Find the third derivative of t(p) wrt p. 24*p - 240 Find the third derivative of 8*j**2 + 19*j**2 + 2 - 69*j**2 - 202*j**3 + 78*j**3 - 45*j**2 wrt j. -744 Let m(b) be the first derivative of -b**8/560 + 11*b**6/360 + 14*b**3/3 + 13. Let l(z) be the third derivative of m(z). Find the third derivative of l(t) wrt t. -72*t Let c = 29 - 16. Find the third derivative of c*j**2 + j**2 + 35 - 35 + j**4 wrt j. 24*j Let j(n) = 646*n**2 + 4*n - 565. Let g(c) = -643*c**2 - 6*c + 566. Let q(p) = -2*g(p) - 3*j(p). What is the derivative of q(v) wrt v? -1304*v Suppose 2*n + 2 = 0, -3 - 2 = -3*a - n. Let i = 0 + a. What is the third derivative of 6*x**3 + 24*x - 24*x + 4*x**i wrt x? 36 Let g(v) = 176*v**5 + 5*v**2 + 167*v. Let x(r) = 178*r**5 + 6*r**2 + 168*r. Let u(z) = 6*g(z) - 5*x(z). What is the second derivative of u(f) wrt f? 3320*f**3 Let s(a) be the second derivative of a**5/20 + 7*a**4/12 + 15*a**3/2 + a - 3. Find the second derivative of s(c) wrt c. 6*c + 14 Let y = -62 + 64. Find the first derivative of -6*q**2 + 30 + 46*q**y - 20*q**2 wrt q. 40*q Let m = 726 + -726. Let a(n) be the first derivative of 0*n**3 + 0*n**4 + m*n**2 + 2 + 8*n - 12/5*n**5. Differentiate a(j) with respect to j. -48*j**3 Let i(r) = 239*r**2 + 293*r - 2. Let p(g) = -717*g**2 - 877*g + 7. Let o(x) = 7*i(x) + 2*p(x). Find the second derivative of o(s) wrt s. 478 Let p = -5 - -9. What is the third derivative of -p*t**2 + 8*t**5 - 6*t**2 - 2*t**5 + 3*t**2 wrt t? 360*t**2 Find the third derivative of -294*t**4 - 3*t**2 - 13*t - 418*t**4 + 2*t**4 wrt t. -17040*t Let t(f) be the second derivative of f**7/210 + 2*f**3/3 - 2*f**2 - 3*f. Let u(i) be the first derivative of t(i). What is the derivative of u(d) wrt d? 4*d**3 Let g = -56 - -62. Find the third derivative of g*s**2 - 84*s**5 + 89*s**5 - 15*s**2 wrt s. 300*s**2 Find the third derivative of -2842 - 4*n**2 + 2842 + 10*n**5 + 2*n**4 - 26*n**2 + 0*n**2 wrt n. 600*n**2 + 48*n Let k(v) be the second derivative of 0*v**2 + 2 + 0*v**6 + 0*v**5 + 1/6*v**3 + 13/12*v**4 + 5*v - 17/14*v**7. Find the third derivative of k(i) wrt i. -3060*i**2 What is the second derivative of 10 + 298*i**5 + 2*i - 367*i**5 - i wrt i? -1380*i**3 Let j(b) be the third derivative of -b**6/180 - b**5/6 - 29*b**4/24 - 11*b**2. Let g(i) be the second derivative of j(i). Differentiate g(k) with respect to k. -4 Let z = 59 - 57. Find the third derivative of -4*n**z - 6*n**2 - n**2 - 4*n**3 - n**3 wrt n. -30 Let n(m) be the first derivative of -m**6/12 + 7*m**3/6 - 15*m**2/2 + 4. Let w(y) be the second derivative of n(y). Differentiate w(s) wrt s. -30*s**2 Let a = -10/37 + 215/111. Let d(p) be the first derivative of 0*p - 7 + 0*p**4 + 0*p**2 - 2/5*p**5 + a*p**3. Find the third derivative of d(k) wrt k. -48*k Suppose -12 = -2*r - 4*i, -2*i + 4*i - 2 = r. Let z(s) = -5*s**4 + 7*s - 22. Let a(w) = 2*w**4 - 2*w + 7. Let p(v) = r*z(v) + 7*a(v). Differentiate p(m) wrt m. 16*m**3 Let l(m) = -m**2 - 13*m - 11. Let a(c) = -3*c + 0*c - 63 + 60. Let r(t) = -26*a(t) + 6*l(t). Find the first derivative of r(k) wrt k. -12*k Find the second derivative of g**5 - 4*g**5 + 8*g**5 - 437*g + 144*g**4 + 1 - 144*g**4 + 20*g**3 wrt g. 100*g**3 + 120*g What is the third derivative of 50*u**2 - 83*u**3 - 8*u**2 + 21*u**2 wrt u? -498 Let b be ((-95)/38)/((-1)/12). Find the third derivative of b*c - 30*c - 5*c**2 + 2*c**3 wrt c. 12 Let p(y) = -73*y - 1. Let o(a) = 72*a. Let n(k) = 2*o(k) + 3*p(k). What is the derivative of n(j) wrt j? -75 Find the third derivative of 4*y**4 - 86*y**3 + 280*y**3 - 3*y**4 + 26*y**2 - 39*y**2 - 107*y**2 wrt y. 24*y + 1164 Let o(f) = -46*f - 38. Let i(s) be the first derivative of -31*s**2/2 - 25*s + 7. Let v(r) = 7*i(r) - 5*o(r). Find the first derivative of v(a) wrt a. 13 Find the second derivative of 270*b + 1 - 1 - 15250*b**5 - 41*b**2 + 15249*b**5 wrt b. -20*b**3 - 82 Let c(p) = -59*p**3 - 6*p**2 + 6*p - 10. Let i(h) = 118*h**3 + 13*h**2 - 13*h + 19. Let q(v) = 13*c(v) + 6*i(v). Find the first derivative of q(b) wrt b. -177*b**2 Let o(b) be the first derivative of 0*b**2 + 0*b + 22 + 11/5*b**5 + 0*b**4 + 4*b**3. What is the third derivative of o(d) wrt d? 264*d Let t = -30 + 37. Find the second derivative of 8 - t + 10*n + 3*n**5 - 1 wrt n. 60*n**3 Let d(a) be the second derivative of -11*a + 11*a**2 - 1/5*a**6 + 0*a**4 + 0 + 0*a**5 + 0*a**3. Differentiate d(b) wrt b. -24*b**3 Let b(x) be the second derivative of 24*x + 0*x**4 + 0 - 43/6*x**3 - 31/2*x**2 + 1/20*x**5. What is the derivative of b(d) wrt d? 3*d**2 - 43 Let q = -108 + 110. Find the second derivative of -19*p**q + 30*p - 39*p - 15*p**2 - 10*p**2 - 2 wrt p. -88 Let b(a) be the second derivative of -a**6/30 + 37*a**3/6 + 37*a**2/2 + 55*a. What is the first derivative of b(h) wrt h? -4*h**3 + 37 Let b(s) be the first derivative of -s**8/84 - s**5/6 + 5*s**2 - 2. Let g(d) be the second derivative of b(d). What is the third derivative of g(a) wrt a? -240*a**2 Let t(j) be the second derivative of 47*j**8/28 + 13*j**4/3 + 121*j. What is the third derivative of t(h) wrt h? 11280*h**3 Let d(o) be the second derivative of 0 + 0*o**7 + 0*o**2 + 0*o**6 + 0*o**3 - 8*o + 0*o**5 - 1/56*o**8 + o**4. Find the third derivative of d(t) wrt t. -120*t**3 Suppose n = 6*n - 155. Find the second derivative of -11*c + 0*c**3 - 14*c**5 + n*c + 0*c**3 wrt c. -280*c**3 Let a(l) be the second derivative of -l**6/10 - 11*l**5/20 - 6*l**3 - l**2/2 - l - 5. What is the second derivative of a(f) wrt f? -36*f**2 - 66*f Differentiate -5*g + 11*g - 52*g**2 + 48*g**2 - 154 wrt g. -8*g + 6 Let m(x) = 173*x**2 - 181*x + 4. Let r(b) = -2*b**2 + b - 1. Let j(u) = m(u) + 4*r(u). Find the second derivative of j(z) wrt z. 330 Let i(y) = -16*y**3 + 2*y**2 + 23. Let r(w) = 17*w**3 - 3*w**2 - 24. Let m = -26 - -24. Let k(s) = m*r(s) - 3*i(s). Differentiate k(x) wrt x. 42*x**2 Let i be 18/(-27) - (65/6)/(-5). Let f(h) be the first derivative of -2 + 0*h**2 + i*h**4 + 0*h**3 + h. Differentiate f(p) wrt p. 18*p**2 Differentiate -474 - 15*r**3 - 69*r**3 + 484 with respect to r. -252*r**2 Let d(o) = o**3 - 5*o**2 + o + 8. Let l be d(4). Let m(f) = f**2 + 4*f + 4. Let u be m(l). Find the third derivative of 4*k**2
{ "pile_set_name": "DM Mathematics" }
) = v**3 - 6*v**2. Let u be t(6). Let h = 254 + -252. Sort u, h, -2. -2, u, h Let b be 1/((0 + 1)*(-8)/40). Suppose -8*g + 16 = -4*g. Sort g, -4, b, 1 in decreasing order. g, 1, -4, b Let d = 0.273 + -0.003. Let q = 0.37 - d. Let r = -5.11 + 0.11. Put q, r, 1 in decreasing order. 1, q, r Let n(f) = f**3 - 3*f**2 + f + 1. Let t be n(2). Put -3, 5, -6, t in decreasing order. 5, t, -3, -6 Suppose i - 5*i + 2*x - 4 = 0, 0 = -2*x - 8. Let g = 10 + -17. Let h = g + 7. Sort h, 2, i. i, h, 2 Let u = -4 + -1. Let y(w) = w**3 + 16*w**2 + 26*w - 23. Let j be y(-14). Sort u, 8, j, 1. u, 1, j, 8 Let h be ((-63)/24 + 2)*-8. Put h, 4, -2, 6 in ascending order. -2, 4, h, 6 Let y(m) = -m**3 + 15*m**2 - 13*m + 184. Let j be y(15). Sort j, -2, 0, 8 in ascending order. j, -2, 0, 8 Suppose -2*s = -7*s + 15, 4*s = d + 7. Suppose -4*p - 12 = 4*n, 5*p - 3*n - 12 = -3. Suppose p = -35*w + 32*w - 21. Sort w, 2, d in ascending order. w, 2, d Let a be 2 - (5 - (5 + -2)). Suppose a = 33*b - 35*b + 8. Suppose 3*j = -9 + 24. Put j, -5, b in decreasing order. j, b, -5 Suppose -7 - 6 = -5*s - 4*y, s + 5*y + 10 = 0. Suppose s*a - h = -7 - 8, -3*a = 5*h - 19. Let t be ((-16)/100*-5)/(2/30). Sort a, t, -0.3 in descending order. t, -0.3, a Let l = -671.5 - -671. Sort 0, 1/4, -0.01, l. l, -0.01, 0, 1/4 Let i = -369 - -369.03. Let x be (-18)/(-14) - (-1)/(-1). Sort i, -2/5, x in descending order. x, i, -2/5 Suppose 24 = 12*p - 12. Put 1/5, 41, p in decreasing order. 41, p, 1/5 Let u = 183 - 182.8. Sort 1/9, -3/4, u, 2. -3/4, 1/9, u, 2 Let o = 67 - 67. Put -2, -20, o, 4 in descending order. 4, o, -2, -20 Let b be 160/128*(-2 + (-9)/(-5)). Sort 2/9, b, 3 in ascending order. b, 2/9, 3 Suppose x + 65 = 62. Let i(z) = -z**2 - 2. Let r be i(-2). Sort r, -5, x, 5. r, -5, x, 5 Let c = 1.3 + -6.3. Let n = c + 5.04. Put n, -0.2, 1/3 in increasing order. -0.2, n, 1/3 Let d = -1.91 - -0.91. Put -2/3, d, 2/11, 0.7 in decreasing order. 0.7, 2/11, -2/3, d Let z(n) = -n**2 - 19*n + 289. Let w be z(-29). Sort 1, w, 746. w, 1, 746 Let c be 27 + -31 + 36/10. Sort -7/10, c, 1/2 in descending order. 1/2, c, -7/10 Suppose -4*v + 14*v + 320 = 0. Sort -2, v, 5 in increasing order. v, -2, 5 Let b(d) be the second derivative of d**4/3 - d**2/2 - 15*d. Let s be b(1). Put 0, s, 4 in decreasing order. 4, s, 0 Let r be 4*1/((-4)/(-10)). Suppose 5*g = r*g - 120. Suppose 0 = -3*y - g + 9. Put 2, y, -7 in decreasing order. 2, y, -7 Suppose -4*o = 2*z - 45 - 3, 2*z + 4 = 0. Let m = o - 13. Suppose -n = -m*n. Put -6, n, -3 in decreasing order. n, -3, -6 Let g be -8 + 5/(-20)*-20. Suppose -4 = 8*d - 4*d. Put d, g, 2 in decreasing order. 2, d, g Let l be -1*-7*5/(-105). Sort l, 63, -5. -5, l, 63 Suppose 18 = -5*u - 7, 5*u + 45 = 5*s. Sort 3, s, -139. -139, 3, s Let o = -67/3 - -22. Let x = -5/6 - o. Sort 5, x, -5/2 in decreasing order. 5, x, -5/2 Let f = 17.6 + -22.2. Sort -3, f, 0, -0.1 in descending order. 0, -0.1, -3, f Let f = 0.31 + -7.31. Let m = f + 7.2. Put m, 1, -1 in increasing order. -1, m, 1 Suppose 5*h - 30 = 3*l, 3*h = -3*l - 0*l + 18. Let v = h - 9. Suppose -4 = 2*q - 5*j, 2*q + 2*q = 4*j + 4. Sort v, q, -4 in increasing order. -4, v, q Let q = -1 + 6. Let o be -3 + ((-2)/8)/((-3)/72). Put 1, o, q in descending order. q, o, 1 Let n be (4/3 - 2) + (-22)/(-6). Put -3, -4, n in ascending order. -4, -3, n Suppose -2 + 12 = -2*o. Suppose b = 5*k - 5, -2*k - 5*b + b - 20 = 0. Sort k, o, 5 in descending order. 5, k, o Suppose -442*q + 437*q + g + 29 = 0, -5*q - 4*g = -9. Put -2, 9/7, q in ascending order. -2, 9/7, q Let p be (-35)/(0 - 1) - (0 - -1). Let r = p - 25. Sort 5, 2, r in ascending order. 2, 5, r Suppose -w = -705 + 690. Sort -3, w, 0 in decreasing order. w, 0, -3 Let y = 1843 - 1842. Let t(u) = -u**3 + 5*u**2 - 2*u + 6. Let s(r) = r**3 + 9*r**2 - r - 4. Let a be s(-9). Let k be t(a). Sort k, y, 4 in increasing order. k, y, 4 Let m = 4.9 - 45.9. Let a = 40.9 + m. Put -2/11, -2/3, a, 2 in decreasing order. 2, a, -2/11, -2/3 Let r = -9 - -5. Let w = -9 + -50. Let f = w - -62. Sort -10, r, f in descending order. f, r, -10 Let k = 8 - 5. Let a = -0.362 - 0.038. Sort k, -2/11, a in increasing order. a, -2/11, k Let q = 34 - 30. Let k = 7 - 13. Let x = k - -11. Sort x, -4, q in decreasing order. x, q, -4 Let o = -327.4 + 327. Let u = 0.52 - 0.02. Sort u, o, 2 in increasing order. o, u, 2 Let o(l) = 5*l**2 - 3*l - 1. Let a be o(0). Let u = -2 + 2.4. Sort -6, u, a in decreasing order. u, a, -6 Suppose -o + 3*o = -5*k + 15, -2*o + k = -9. Suppose -7*l - 48*l + 14*l = -328. Sort l, o, -5 in decreasing order. l, o, -5 Let v = -164.03 - -164. Sort v, 19, -1 in descending order. 19, v, -1 Let s be (2/(-10))/(-4 + 3). Let w = 4143 - 4148. Put s, w, -1/7, 4/3 in increasing order. w, -1/7, s, 4/3 Let o(d) = 3*d - 4*d - 5*d**2 + d**3 + 8*d**2 - 7*d**2 + 4. Let a be o(4). Let s = -0.16 + 3.16. Sort a, 2/13, s in ascending order. a, 2/13, s Let h = 5 + -3. Let b = 2.6 + -5. Let m = -2.6 + b. Sort m, 0.4, h in increasing order. m, 0.4, h Let s = -213 - -147. Let l = s + 67. Sort l, 0, 2/7 in decreasing order. l, 2/7, 0 Let v = 135 + -120. Sort v, 4, -4. -4, 4, v Suppose -29*j + 188 = -44. Sort 0, 5, j, 10 in ascending order. 0, 5, j, 10 Let b be (35/50)/(2/5). Let s = b - 43/20. Let r = 2/15 - -4/45. Put 3, r, s in decreasing order. 3, r, s Suppose -2*n - 8 = 2*k, -2*n - 5*k = -2*k + 7. Let z = 348 - 207. Let p = 139 - z. Sort p, 0, n in decreasing order. 0, p, n Let u = 4998/5 + -1000. Suppose -15 = o - 12. Sort o, -19, u in ascending order. -19, o, u Let j be ((-15)/(-10))/(78/8). Let r = 0.068 + -0.068. Put j, -0.4, r, 4 in ascending order. -0.4, r, j, 4 Let g = -120 - -115. Let j = 1 - 1.4. Sort -0.3, g, j. g, j, -0.3 Let h = -684.67 - -684. Put 0.4, 3, h in increasing order. h, 0.4, 3 Suppose 234 = 134*v - 160*v. Sort 4, 6, v in decreasing order. 6, 4, v Let v be (2 - (-12)/3)/(-1). Let l be (-460)/(-168) - 2 - (-1)/v. Sort l, -0.4, -3 in descending order. l, -0.4, -3 Let y = -762 + 767. Sort 0.2, 0.18, 0, y in ascending order. 0, 0.18, 0.2, y Suppose 2*p = -5*k + 103, 0*p = 5*p - 3*k - 180. Suppose p = -3*i - 3*a + 9, 15 = -4*i + a. Put 3, -4, i, 6 in decreasing order. 6, 3, -4, i Let o be (-2)/(-2 - 9/(-4)). Let u be o/(-20) - (-48)/(-70). Let n = 1313/8742 + 24/1457. Sort n, u, -3. -3, u, n Let h = 1646 + -1645.96. Let q = 0.3 + -1.3. Sort q, 2, 1/3, h. q, h, 1/3, 2 Let f(n) = -n**2 + 5*n + 14. Let v be f(7). Let l be (-22)/(-4) + (-24)/48. Suppose 0*k = 2*k + 2*m - 8, -5*m + 12 = 3*k. Sort l, v, k. v, k, l Let f be (1/(-3))/(30/(-18)). Let b = 245/2 + -125. Sort 0.5, f, b in descending order. 0.5, f, b Let q = 219.5 - 219. Put -0.05, -1/2, q in increasing order. -1/2, -0.05, q Let u(g) = -g + 3. Let k be u(0). Let z be ((-49)/7 - -5)*1. Let x(c) = c**2. Let a be x(1). Sort z, k, a in decreasing order. k, a, z Let r = -14.3 - 4.7. Let i = r - -19. Let n = 3 + i. Sort n, -4, -0.6. -4, -0.6, n Let l = -13480/7 - -1926. Put l, 1/2, -4 in increasing order. -4, l, 1/2 Let o = 0.12 - 0.19. Let z = o + -3.93. Let b = -5 - -4.9. Sort b, z, 5. z, b, 5 Suppose -2*w = -0*c - 3*c + 27, 3*c - 12 = -3*w. Put -3, c, 2, 5 in descending order. c, 5, 2, -3 Suppose 5*z = 17 + 28. Let d be (12/z - 1)/((-3)/6). Put 0.3, d, 14 in ascending order. d, 0.3, 14 Suppose -2*x + 2*y - 1 = 1, 0 = 2*y. Let k(i) = -2*i - 1 + i + 2*i + 0. Let d be k(6). Sort d, x, -5 in increasing order. -5, x, d Suppose 0 = -2*y + 3*y - 3. Let i be -25*(1 - (-1 - -3))*1. Suppose 0 = -3*n - 2*f - i, -y*n + 4*f - 71 = 2*n. Sort -3, n, 2 in descending order. 2, -3, n Let o = -122.2 + 122. Put -5, -21, 5, o in ascending order. -21, -5, o, 5 Let f be 2/(1 + (-3)/1). Let v be 68/(-3) - 9/27. Let b = 24 + v. Sort -7, b, f. -7, f, b Let c be (3 - 3) + -1 + 1. Let h(q) = q**3 + 12*q**2 - 13*q + 10. Let y be h(-13). Suppose y*n - 18 = 22. Sort -4, c, n in descending order. n, c, -4 Let d be (-11 + 656/48)*3/4. Let p(l) = l**2 + 5*l - 8. Let z be p(-6). Put z, 3, 0, d in descending order. 3, d, 0, z Let i = 32 + -31.7. Let y = i + 3.7. Let s = 7/39 - -2/13. Sort y, s, -0.05 in ascending order. -0.05, s, y Let u be 22 - 0/(-1 - -2). Let w(q) = -q**3 + 6*q**2 - 3*q + 14. Let v be w(6). Let d be (-6 - -5)/(1/v). Put -2, d, u in descending order. u, d, -2 Let h = -23.74
{ "pile_set_name": "DM Mathematics" }
5)/f)*f assuming f is positive. f**15 Simplify z*z**13*z**(-2/17) assuming z is positive. z**(236/17) Simplify (p/p**10)/(p/p**2)*p**(4/3)*p/(p*p*(p*p*p**(1/5)*p)/p*p)*p assuming p is positive. p**(-148/15) Simplify (a**(-4)/a)/a*a**(-8)*(a*(a*a*(a/a**(6/7)*a*a)/a*a)/a*a*a)/(a*a/(a*(a**(2/11)*a)/a)) assuming a is positive. a**(-668/77) Simplify ((k*k/(k*k*k**(2/9)/k))/k*k/(k/(k*k*k**(-1/6))))**(3/17) assuming k is positive. k**(29/102) Simplify ((l/((l**(1/2)/l)/l))/l*l)**(-15)/(l/l**(-2))**(1/3) assuming l is positive. l**(-77/2) Simplify (s**(-2)*s**2*s)**(-16) assuming s is positive. s**(-16) Simplify (b*b*b/b**(-12))/b*b**(-1/10) assuming b is positive. b**(139/10) Simplify ((q**3/q)/q**(-3/2))**(7/9) assuming q is positive. q**(49/18) Simplify n**(-1/6)*n/n**(1/13) assuming n is positive. n**(59/78) Simplify (w/(w**1/w))**(-7)/(w/(w*w**0/w)*w*w/((w/(w*w**1*w*w))/w)) assuming w is positive. w**(-14) Simplify (g/(g/(g*(g/(g/g**0))/g*g*g)))**38*g**(-1/5)/((g/((g*g/(g**(-2)/g))/g*g*g*g)*g)/g) assuming g is positive. g**(409/5) Simplify (y**1)**(-50)*y/(y*y*(y*y/y**(-2))/y*y)*y**(9/2)/y assuming y is positive. y**(-103/2) Simplify (((u*u/((u/(u*u**(-3)/u))/u))/u)/u)/(u/u**(2/7))*(u**(-2/7))**21 assuming u is positive. u**(-68/7) Simplify (c**(27/2)/c*c)**38 assuming c is positive. c**513 Simplify (b*b/b**(-1/3))**(-7/6)*((b**(5/4)/b)/b)/(b/b**(1/3)) assuming b is positive. b**(-149/36) Simplify z**18*z*z**(-17)*z assuming z is positive. z**3 Simplify u**(-26)*u/u**29 assuming u is positive. u**(-54) Simplify ((p*p**(3/5))/(p/((p*p**2/p)/p)*p))**(1/7) assuming p is positive. p**(3/35) Simplify ((((x**(2/13)*x*x)/x)/x)/x*(x**(-2/3)/x*x)/x)/(x**(-2/3)*x*x*x**(-2/11)/x) assuming x is positive. x**(-381/143) Simplify (((y**(-1/7)*y*y)/y*y)/(y*y*y**7))**(-17) assuming y is positive. y**(850/7) Simplify (c*c/(c/((c/c**(1/21))/c)*c)*c)/((c/c**(-22))/c) assuming c is positive. c**(-442/21) Simplify y/y**0*y**17 assuming y is positive. y**18 Simplify (v**9/v**1)**(-1/12) assuming v is positive. v**(-2/3) Simplify ((i**1*i)/i*i*i)**(-12)/((i**(-5)*i)/(i*(i**(-2)*i)/i)) assuming i is positive. i**(-33) Simplify ((o**(1/2))**(-34))**5 assuming o is positive. o**(-85) Simplify ((r*r**5)/r)**(-49) assuming r is positive. r**(-245) Simplify (j/(j*j*j*j**(3/14)*j))/(j**(-9/5)/j) assuming j is positive. j**(-29/70) Simplify (v/((v/(v/(v**9*v)*v))/v))/(v/(v*v**(-6)*v*v))*v**(3/10)/((v*v**6)/v*v*v) assuming v is positive. v**(-187/10) Simplify ((x*x**5*x)/x)**(-5/7) assuming x is positive. x**(-30/7) Simplify (c**(22/5)*c)/((c/c**25)/c) assuming c is positive. c**(152/5) Simplify ((b/(b**6/b))/(b**17/b))**4 assuming b is positive. b**(-80) Simplify ((q*q**(-1)*q)/q**(1/5))**(2/11) assuming q is positive. q**(8/55) Simplify ((o**(-2/5))**(-2/3))**29 assuming o is positive. o**(116/15) Simplify (r**(-1/4))**(-19) assuming r is positive. r**(19/4) Simplify (p**(4/7))**(-3/2) assuming p is positive. p**(-6/7) Simplify (c**(-14)/c**1)**(1/30) assuming c is positive. 1/sqrt(c) Simplify (d/(d/((d*d*(d**(7/5)*d*d)/d)/d)*d)*((d/((d*(d*d**(2/15))/d*d)/d))/d)/d)/((d**(-1/3)*d)/(d**5/d)) assuming d is positive. d**(18/5) Simplify (a**5*a**0*a)/((a/a**(1/5))/a*a*a**(-2/17)) assuming a is positive. a**(452/85) Simplify (g*g/((g/(g**(-3)/g))/g*g)*g**(2/15))/(g**1)**(2/5) assuming g is positive. g**(-49/15) Simplify ((p*p*p*p**1)**9)**(-43) assuming p is positive. p**(-1548) Simplify y**(-33)/y**(-24) assuming y is positive. y**(-9) Simplify r**(2/31)/r*r/(((r/r**(-7))/r*r)/r)*(r**(-1/3)*r)/r*r**1 assuming r is positive. r**(-583/93) Simplify (d**(-6))**(16/7) assuming d is positive. d**(-96/7) Simplify (y/((y**(3/5)*y)/y))**14 assuming y is positive. y**(28/5) Simplify (n**(1/15)*n**(-3/5))**(-2/37) assuming n is positive. n**(16/555) Simplify (((z**(14/9)/z)/z*z)/z)/z*z**(-4)/z assuming z is positive. z**(-58/9) Simplify (z/(z/z**25))**(1/3) assuming z is positive. z**(25/3) Simplify j**12*j**(3/10) assuming j is positive. j**(123/10) Simplify (f**8/(((f*f**(-3)*f)/f*f*f)/f))/((f/(f/((f**0/f)/f))*f)/f)**3 assuming f is positive. f**15 Simplify s**(-11)/s**(1/7) assuming s is positive. s**(-78/7) Simplify j**13/(j/(j*j/(j**(-18)/j)*j*j*j*j)) assuming j is positive. j**37 Simplify z**(-3/5)/(z*z*z*z*z**(-2/5)/z*z*z) assuming z is positive. z**(-26/5) Simplify a**(-1/6)*a*a/(((a**(-3/4)*a)/a)/a) assuming a is positive. a**(43/12) Simplify ((l/l**7)/l)**(11/2) assuming l is positive. l**(-77/2) Simplify l*l/l**(-7)*(l/(l/(l**15*l)))/l assuming l is positive. l**24 Simplify (c/((((c*c**(-1/3))/c)/c*c)/c))**(-3/25)*(c/(c/(c/((c/c**(-2/3))/c*c))))**39 assuming c is positive. c**(-657/25) Simplify m**25*(m/m**(-8))/m assuming m is positive. m**33 Simplify y**(1/6)/y*y*y*y/(y/(y**2*y))*y*(y*y**(-6)/y)/(y*y*(y**(2/9)*y)/y) assuming y is positive. y**(-55/18) Simplify (t**(-1/8))**(7/6) assuming t is positive. t**(-7/48) Simplify ((u**(-1))**(-32/7))**7 assuming u is positive. u**32 Simplify (i**(1/4)/i**0)**(8/3) assuming i is positive. i**(2/3) Simplify (r*r**(-1)/r)**(-25)*r**6/(r**(-2/21)*r) assuming r is positive. r**(632/21) Simplify (z*z*z**13)/z*z/(z**(-2/3)*z) assuming z is positive. z**(44/3) Simplify (k**(-6/17))**(8/11) assuming k is positive. k**(-48/187) Simplify w**(2/17)*w**(-9)*(w**(-3/4)/w)/(w/w**4) assuming w is positive. w**(-519/68) Simplify ((i**3/i*i)/(i/((i/i**(4/5))/i)*i*i))/(i**(5/3)/(i/(i*i/(i*i/i**(-8))))) assuming i is positive. i**(98/15) Simplify (q/q**(17/5))/(q*q/(q/((q**10*q)/q*q))) assuming q is positive. q**(-72/5) Simplify ((m**(2/3))**0)**(-1/2) assuming m is positive. 1 Simplify ((((x**(-2/5)*x)/x)/x)/x**(-1))/(x**(-6)/(x/(x**4*x))) assuming x is positive. x**(8/5) Simplify (n**2*n*n*n)**(-44) assuming n is positive. n**(-220) Simplify (z/z**19*z)/(z/(z*(z**(-10/9)/z*z)/z)) assuming z is positive. z**(-172/9) Simplify (g**(3/8)/(g**(-2/5)/g*g))**(-1/50) assuming g is positive. g**(-31/2000) Simplify (((v*v/v**(-5)*v)/v)**(-16))**(-31) assuming v is positive. v**3472 Simplify (q**(-1/2))**9/((q**(-2/3)*q)/((q/q**6)/q)) assuming q is positive. q**(-65/6) Simplify (j*j*j**(-3)*j)**(-34) assuming j is positive. 1 Simplify ((k**5/k)**(-1/21))**(-6) assuming k is positive. k**(8/7) Simplify ((g/g**(2/3))**15)**(7/6) assuming g is positive. g**(35/6) Simplify q/(q*q**(32/5)/q)*q*q*q*q*q**(2/27)*q assuming q is positive. q**(-44/135) Simplify s**(2/13)*s**(-1/12)*(s**(2/7))**(-20/11) assuming s is positive. s**(-5393/12012) Simplify ((m*m**(-17/4)*m)/m)/(m/m**(-1/3)) assuming m is positive. m**(-55/12) Simplify (r**(1/2)*r*r**(1/13))**15 assuming r is positive. r**(615/26) Simplify (j**3/j**(-7))/(j*j**(2/3)*j**(1/3)/j) assuming j is positive. j**9 Simplify ((n**(-3)*n)/((n/(n*n/(n*n/n**(-2/15))*n)*n*n)/n))/(n/(n*n*n/(n/(n/n**(1/11))))*n**(-3)*n*n) assuming n is positive. n**(-37/165) Simplify (r*r/r**3*r)**18/(r**(-2/5))**(-2/101) assuming r is positive. r**(-4/505) Simplify s**(-30)*s*s**(5/16)/s*s assuming s is positive. s**(-459/16) Simplify w**(-20)/((w/(w/(w**(-3/11)/w*w*w)))/w) assuming w is positive. w**(-217/11) Simplify k*k*k**(-9/2)*k**(13/3) assuming k is positive. k**(11/6) Simplify z**(-1/9)*z*z**(2/91)/z*z assuming z is positive. z**(746/819) Simplify (v/(v*(v/(v*v**(3/5)*v))/v*v))/v**(-1/3) assuming v is positive. v**(29/15) Simplify (i**(-2)/(i/i**10))/(i*i/(i/i**(-1/3)))**21 assuming i is positive. i**(-7) Simplify (((t**(1/9)/t)/t*t)/(t/(t**(4/3)/t)))**(-3/23) assuming t is positive. t**(14/69) Simplify ((b/b**(3/4))/((b*b*b*b**(2/15)/b*b)/b))**(2/97) assuming b is positive. b**(-113/2910) Simplify (y**(6/7)*y)**8 assuming y is positive. y**(104/7) Simplify j/(j*j**(2/9))*j**(3/4)*j/(j/(j/(j*j**5/j)))*j**(1/2) assuming j is positive. j**(-107/36) Simplify (h*h*(h/(((((((h/(h*h*h**9*h))/h)/h)/h)/h)/h)/h))/h*h*h**(-4)*h)/((h**0*h)/(h/((h*h/h**(-3))/h)*h*h)) assuming h is positive. h**15 Simplify k/(k/k**(-5/3)*k)*k*k/k**(-1/4)*((k*k/(k*k*k**4))/k)/k**(-5) assuming k is positive. k**(-5/12) Simplify ((t*t**(9/2)*t*t*t)/t)/(t**(-11)*t) assuming t is positive. t**(35/2) Simplify (p*p**(1/37))/p**22 assuming p is positive. p**(-776/37) Simplify x**(2/61)/(x/(x*x/((x**(1/2)/x)/x))) assuming x is positive. x**(309/122) Simplify (g**(1/3)*g/g
{ "pile_set_name": "DM Mathematics" }
-22). 4 Let n(u) = 1559*u + 3879. Determine n(-2). 761 Let j(y) = 26*y**2 - 20*y - 2. What is j(11)? 2924 Let m(z) = z**3 - 22*z**2 - 451*z - 20. What is m(-10)? 1290 Let o(h) = -19*h**2 - 75175*h - 824630. What is o(-11)? -4 Let k(n) = 264*n**3 + 2*n**2 - 268*n - 544. Calculate k(-2). -2112 Let m(d) = -96*d**2 + 2259*d + 9038. Give m(-4). -1534 Let p(t) = 1951*t - 193239. Determine p(99). -90 Let s(x) = -454779*x - 2273920. What is s(-5)? -25 Let y(g) = -g**3 + 41*g**2 - 25*g + 44. What is y(41)? -981 Let r(z) = -z**3 + 53*z**2 + 673*z - 11252. Give r(61). 33 Let y(o) = o**3 + o**2 + o - 195. What is y(9)? 624 Let w(a) = 19*a**2 + 2577*a + 6665. Give w(-133). 15 Let d(s) = 10814512*s + 10814505. Calculate d(-1). -7 Let m(s) = 1891*s + 3952179. What is m(-2090)? -11 Let h(j) = -j**2 + 25*j + 1435. Give h(45). 535 Let j(u) = 186*u - 3037. What is j(16)? -61 Let j(m) = 1268*m + 29798. Give j(-24). -634 Let u(p) = -p**3 - 15*p**2 + 685*p - 22297. Determine u(-43). 20 Let k(b) = 1650*b + 88467. What is k(-53)? 1017 Let u(i) = -35*i + 4675. Determine u(84). 1735 Let h(y) = 2*y**3 + 111*y**2 + 1223*y - 3117. Calculate h(-19). -1 Let h(y) = -25*y**2 + 70*y + 1327. Give h(-10). -1873 Let z(c) = -18060*c + 1083607. Determine z(60). 7 Let f(x) = -7*x**2 - 1751*x - 3748. Give f(-248). -28 Let l(h) = 11*h**2 + 127*h + 363. What is l(-6)? -3 Let r(s) = 90*s**3 + 6*s**2 + 5*s - 12. Determine r(1). 89 Let b(v) = -7710*v - 8515. Give b(-1). -805 Let y(r) = 19*r**2 - 377*r + 2332. Give y(6). 754 Let f(c) = -14*c**3 - 18*c**2 - 9*c + 84. Determine f(-4). 728 Let p(j) = 9530*j - 657398. What is p(69)? 172 Let h(o) = -4*o**2 - 113*o + 981. What is h(8)? -179 Let v(h) = 2*h**2 - 11*h - 316. What is v(-9)? -55 Let b(m) = -2*m**2 + 377*m - 2373. Determine b(6). -183 Let c(t) = 270*t**2 + 1287*t + 893. Give c(-4). 65 Let o(x) = -1003*x - 107319. Determine o(-107). 2 Let s(o) = 3084*o - 67857. What is s(22)? -9 Let s(l) = -458*l - 5365. Determine s(-12). 131 Let q(p) = -p**2 + 63*p + 10183. What is q(136)? 255 Let g(x) = -22*x**2 - 1691*x - 3073. What is g(-75)? 2 Let d(l) = -2*l**3 + 120*l**2 - 1407*l + 853. Give d(15). -2 Let o(c) = 42*c**2 + 23938*c - 1152. Give o(-570). -12 Let h(r) = 72*r + 267. Determine h(-29). -1821 Let j(h) = -3*h**2 - 182*h - 2712. Determine j(-23). -113 Let c(h) = -4*h**2 + 3706*h - 61905. What is c(17)? -59 Let r(u) = -3398*u - 37858. What is r(-11)? -480 Let o(p) = 24*p**2 - 1786*p + 13360. Give o(66). 28 Let d(y) = 39*y**2 + 2030*y + 162. Give d(-52). 58 Let l(a) = -1979*a**2 + 12893*a - 39. Calculate l(6). 6075 Let c(w) = -18*w + 228. What is c(13)? -6 Let s(n) = 41*n**3 + 3*n**2 + n - 22. Determine s(2). 320 Let w(f) = 6*f**3 - 20*f**2 + 106*f - 324. What is w(4)? 164 Let z(o) = 60856*o - 60874. Calculate z(1). -18 Let p(d) = -d**3 + 62*d**2 - 6*d - 300. Determine p(62). -672 Let z(q) = -66*q**2 - 699*q - 20. Determine z(-11). -317 Let k(v) = 52*v + 4621. Give k(-87). 97 Let a(w) = 103515*w + 10351504. Determine a(-100). 4 Let y(a) = -2926*a - 307300. What is y(-105)? -70 Let m(y) = -y**3 - 104*y**2 + 3208*y + 182. Calculate m(-129). 2375 Let g(d) = d**3 - 7*d**2 + 171*d - 1548. Calculate g(10). 462 Let h(s) = 3*s**3 - 179*s**2 - 1046*s + 342. What is h(65)? -48 Let f(o) = -4*o**2 + 120*o - 837. Give f(31). -961 Let j(d) = -9*d**3 - 4596*d**2 + 1543*d + 4809. What is j(-511)? -301 Let w(x) = -752*x - 5303. What is w(-6)? -791 Let n(u) = 48*u**2 - 4878*u + 27525. Determine n(6). -15 Let q(w) = -89*w**2 + 1393*w + 3852. Determine q(18). 90 Let y(s) = 6931*s - 575272. Give y(83). 1 Let i(k) = 2*k**3 + 76*k**2 + 658*k - 225. Determine i(-15). 255 Let x(y) = 7*y**3 + 205*y**2 + 88*y + 534. Give x(-29). -336 Let t(m) = 1486*m + 5816. Determine t(-3). 1358 Let k(z) = z**3 + 151*z**2 + 1146*z + 997. Calculate k(-143). 711 Let q(h) = 1389*h + 6792. Calculate q(-7). -2931 Let k(t) = 2*t**3 + 123*t**2 + 1325*t - 110. What is k(-14)? -40 Let c(a) = 8663*a + 1368740. Give c(-158). -14 Let i(g) = -g**3 + 16*g**2 + 67*g + 196. Determine i(19). 386 Let t(k) = -188*k - 1684. Give t(-10). 196 Let f(d) = 1732*d - 290. Calculate f(1). 1442 Let s(k) = -44296*k + 177177. Give s(4). -7 Let j(h) = 611*h + 5473. Determine j(-9). -26 Let j(n) = 1845*n + 641533. Determine j(-348). -527 Let x(r) = -111*r**2 + 6874*r + 7421. Calculate x(63). -76 Let a(w) = 92041*w + 183940. Give a(-2). -142 Let l(p) = p**3 + 229*p**2 + 8717*p + 1405. Calculate l(-48). 13 Let y(x) = -10221*x + 92005. Give y(9). 16 Let r(u) = u**2 - 966*u - 9542. Calculate r(-10). 218 Let f(n) = -n**3 + 64*n**2 - 1041*n + 3969. Calculate f(41). -49 Let h(d) = -214736*d - 1503071. Give h(-7). 81 Let s(f) = 6135*f**3 + 110430*f**2 + 5*f + 81. Determine s(-18). -9 Let t(p) = 2*p**3 - 12*p**2 - 271*p + 451. Determine t(18). 3349 Let w(k) = -k**3 - 34*k**2 - 1159*k - 39067. What is w(-34)? 339 Let x(r) = 7*r**3 + 161*r**2 - 64*r - 995. Give x(-23). 477 Let i(a) = -a**2 - 111*a - 518. Calculate i(-25). 1632 Let p(v) = -4*v**2 + 82*v + 60. Determine p(27). -642 Let q(o) = -2174*o + 997886. Determine q(459). 20 Let f(s) = -97*s**2 + 4060*s + 16286. Determine f(-4). -1506 Let y(l) = -l**3 - 45*l**2 + 195*l + 5177. Give y(-47). 430 Let c(f) = -4736*f - 847742. Calculate c(-179). 2 Let y(p) = p**3 - 26*p**2 - 514*p - 71. Give y(-13). 20 Let k(i) = 5682*i + 113729. Give k(-20). 89 Let a(s) = s**3 + 21*s**2 + 33*s + 1123. What is a(-22)? -87 Let w(u) = 71*u + 3394. What is w(-40)? 554 Let q(d) = -230*d - 81154. Determine q(-353). 36 Let s(g) = -77*g + 3942. Calculate s(54). -216 Let f(d) = -d**3 + 24*d**2 + 324*d + 118. What is f(35)? -2017 Let n(a) = -91276*a - 1095264. Calculate n(-12). 48 Let w(f) = -2*f**2 + 330*f - 12173. Calculate w(81). 1435 Let f(j) = -27*j**3 - 144*j**2 - 48*j - 42. Determine f(-5). -27 Let k(a) = -8*a**3 - 38*a**2 + 87*a - 24. What is k(2)? -66 Let i(l) = 5*l**2 - 1073*l - 39543. Give i(-32). -87 Let f(u) = -48*u**2 - 37*u + 126. What is f(3)? -417 Let a(k) = -k**2 - 232*k + 1861. What is a(-240)? -59 Let a(w) = w**3 + 438*w**2 + 1325*w + 8712. Determine a(-435). 12 Let y(a) = 11*a**3 + 5*a**2 - 6*a + 58. What is y(4)? 818 Let n(g) = 15906*g + 922559. Calculate n(-58). 11 Let n(l) = 15*l**2 - 4864*l - 3582. What is n(325)? -7 Let u(t) = 9922*t + 257929. What is u(-26)? -43 Let o(u) = -3*u**3 + 99*u**2 - 17*u - 296. Determine o(33). -857 Let j(w) = -102*w**2 + 168*w + 7. Determine j(-2). -737 Let u(v) = -2*v**2 + 108*v + 497. Give u(59). -93 Let j(i) = i**2 + 181*i + 5451. Give j(-39). -87 Let m(b) = -b**3 + 85*b**2 - 1134*b - 1346. Determine m(68). 150 Let h(z) = 2*z**3 - 59*z**2 - 169*z + 116. Determine h(32). -172 Let m(u) = 923*u + 103634. Determine m(-112). 258 Let n(o) = o**3 - 95*o**2 - 2168*o + 244. Calculate n(114). 16 Let i(d) = -d**3 + 48*d**2 - 448*d - 133. What is i(13)? -42 Let h(s) = 387865*s - 3878645. What is h(10)? 5 Let g(j) = -9559*j - 8889878. Determine g(-930). -8 Let b(m) = -10230*m - 419462. Give b(-41). -32 Let r(k) = -k**3 - 62*k**2 - 4*k - 446. Give r(-62). -198 Let s(o) = -16*o**2 + 164*o + 186. Give s(13). -386 Let g(p) = -p**3 - 22*p**2 + 6174*p + 157822. Calculate g(-26). 2 Let s(d) = d**2 - 556523*d - 2782625. Calculate s(-5). 15 Let l(w) = 772*w - 25497. Give l(32). -793 Let n(t) = -9*t**2 - 164*t + 96382. Give n(-113). -7 Let l(m) = 5084*m - 360929. What is l(71)? 35 Let t(l) = 2*l**2 + 2885*l + 539918. What is t(-221)? 15 Let c(o) = o**3 - 140*o**2 - 427*o - 343. Determine c(143). -57 Let v(d) = -10*d**2 - 174*d - 595. Calculate v(-13). -23 Let k(v) = -v**3 + 64*v**2 - 761*v + 893. Determine k(14). 39 Let f(i) = i**3 - 8*i**2 - 1468*i + 7466. What is f(5)? 51 Let v(c) = -65584*c - 65586. Calculate v(-1). -2 Let d(m) = m**3 + 422*m**2 + 28635*m - 857. Determine d(-85). -7 Let u(m) = -5*m**3 - 131*m**2 - 78*m - 1158. What is u(-26)? 194 Let j(l) = -70*l**2 + 5*l + 39. What is j(-1)? -36 Let h(w) = 377*w**2 - 2312*w + 285. Determine h(6). -15 Let i(c) = -7*c**2 - 63420*c + 126846. Determine i(2). -22 Let h(i) = -2*i**2 - 763*i - 12636. Determine h(-17). -243 Let g(s) = -256*s**3 + 8*s**2 + 68*s + 68. Determine g(-1). 264 Let l(x) = -47*x + 4475. What is l(94)? 57 Let j(h) = 2578224*h + 7734678. What is j(-3)? 6 Let h(o) = 1168*o - 256962. Calculate h
{ "pile_set_name": "DM Mathematics" }
e prob of sequence rllr. 1/420 What is prob of sequence dd when two letters picked without replacement from {s: 9, d: 9}? 4/17 What is prob of sequence jjj when three letters picked without replacement from jtjjjttj? 5/28 Calculate prob of sequence zm when two letters picked without replacement from {s: 1, m: 1, z: 1, l: 2, o: 3, f: 3}. 1/110 Three letters picked without replacement from {a: 1, c: 2, u: 2, q: 1, s: 1, b: 2}. Give prob of sequence qcb. 1/126 Three letters picked without replacement from wtwtttw. What is prob of sequence ttw? 6/35 Two letters picked without replacement from {a: 2, j: 2, g: 1, c: 1}. What is prob of sequence ja? 2/15 What is prob of sequence ga when two letters picked without replacement from ylgta? 1/20 Two letters picked without replacement from ubvvivvu. Give prob of sequence uv. 1/7 Calculate prob of sequence va when two letters picked without replacement from {z: 7, w: 4, a: 1, v: 2}. 1/91 Two letters picked without replacement from {q: 3, l: 5}. What is prob of sequence qq? 3/28 Four letters picked without replacement from {q: 2, b: 1, y: 5, p: 1, f: 6}. What is prob of sequence yyfy? 1/91 Four letters picked without replacement from gqdrrzrzdrzcr. Give prob of sequence rddz. 1/572 What is prob of sequence eaq when three letters picked without replacement from praefrrrfrrqrrq? 1/1365 Four letters picked without replacement from {o: 1, f: 7}. Give prob of sequence ffof. 1/8 What is prob of sequence irii when four letters picked without replacement from {r: 2, u: 2, i: 4}? 1/35 Calculate prob of sequence vgv when three letters picked without replacement from ggggvgvgvggggggggvg. 10/323 Two letters picked without replacement from {w: 5, m: 2, t: 3}. Give prob of sequence tm. 1/15 Two letters picked without replacement from {z: 4, d: 3, v: 2}. Give prob of sequence zz. 1/6 What is prob of sequence dwsw when four letters picked without replacement from {w: 6, s: 1, d: 1, p: 1}? 5/504 What is prob of sequence lvll when four letters picked without replacement from {e: 3, l: 3, v: 2}? 1/140 Two letters picked without replacement from {q: 1, z: 2, m: 9, e: 1, t: 6}. Give prob of sequence mz. 1/19 Three letters picked without replacement from {l: 2, t: 4}. What is prob of sequence ltt? 1/5 Three letters picked without replacement from {e: 3, d: 4, b: 1}. What is prob of sequence ded? 3/28 Calculate prob of sequence yd when two letters picked without replacement from {d: 4, y: 2}. 4/15 Calculate prob of sequence iucr when four letters picked without replacement from iiiriuuirrcir. 2/715 Three letters picked without replacement from {n: 15, p: 5}. What is prob of sequence ppp? 1/114 Four letters picked without replacement from {f: 5, v: 7, l: 2}. What is prob of sequence vfvl? 5/286 Four letters picked without replacement from htmhhhhoqhoqoto. What is prob of sequence oqtt? 2/4095 What is prob of sequence avc when three letters picked without replacement from {c: 1, v: 2, w: 4, a: 2}? 1/126 Four letters picked without replacement from fflflff. Give prob of sequence lflf. 1/21 Three letters picked without replacement from sqqqqqqq. What is prob of sequence qqq? 5/8 What is prob of sequence zun when three letters picked without replacement from {n: 9, h: 3, u: 5, z: 3}? 3/152 Three letters picked without replacement from ppvvpvvpvppppvvpvvvv. What is prob of sequence pvv? 11/76 Four letters picked without replacement from pyveyhveeey. What is prob of sequence vpyh? 1/1320 Four letters picked without replacement from {l: 4, m: 1, i: 2, w: 7, s: 2}. Give prob of sequence siis. 1/10920 Three letters picked without replacement from {t: 3, b: 5, c: 8}. What is prob of sequence bct? 1/28 Calculate prob of sequence kmt when three letters picked without replacement from {e: 2, k: 3, t: 2, m: 7, h: 4}. 7/816 What is prob of sequence kmqg when four letters picked without replacement from {k: 5, o: 6, q: 1, s: 2, g: 2, m: 1}? 1/5712 What is prob of sequence ytsy when four letters picked without replacement from {y: 3, t: 1, s: 2, x: 1, c: 3}? 1/420 What is prob of sequence akk when three letters picked without replacement from aaakaaaakkaaaa? 11/364 Two letters picked without replacement from {c: 4, n: 9, i: 3}. What is prob of sequence cn? 3/20 Two letters picked without replacement from {j: 5, z: 5, v: 2}. Give prob of sequence zj. 25/132 Two letters picked without replacement from {z: 2, y: 2, o: 3, w: 1, t: 11}. Give prob of sequence wo. 1/114 Four letters picked without replacement from bsddybysy. Give prob of sequence bssd. 1/378 Calculate prob of sequence efvx when four letters picked without replacement from evfxex. 1/90 Four letters picked without replacement from {l: 6, p: 3, n: 2, i: 1}. Give prob of sequence ppll. 1/66 Two letters picked without replacement from {e: 3, r: 4, p: 1}. What is prob of sequence pe? 3/56 Calculate prob of sequence ho when two letters picked without replacement from {d: 4, o: 2, l: 3, z: 1, h: 2}. 1/33 Three letters picked without replacement from sssssswsswwssswsss. Give prob of sequence sss. 91/204 Two letters picked without replacement from wbwbw. What is prob of sequence ww? 3/10 Two letters picked without replacement from shb. What is prob of sequence sb? 1/6 Two letters picked without replacement from ivivvhvov. Give prob of sequence vv. 5/18 Four letters picked without replacement from {y: 6, v: 3, r: 1, o: 3, x: 5, j: 2}. What is prob of sequence yryo? 1/1292 Calculate prob of sequence wy when two letters picked without replacement from yhcqwwwcwchqwwwc. 7/240 Four letters picked without replacement from {y: 1, j: 3, i: 2, n: 6, u: 4}. Give prob of sequence ijuu. 3/1820 What is prob of sequence cn when two letters picked without replacement from {c: 1, n: 4, s: 2}? 2/21 Calculate prob of sequence rr when two letters picked without replacement from {m: 15, r: 4}. 2/57 Three letters picked without replacement from {w: 2, k: 4, n: 4, x: 5}. Give prob of sequence nkk. 8/455 Calculate prob of sequence kak when three letters picked without replacement from {a: 1, i: 4, k: 8, o: 7}. 7/855 Calculate prob of sequence lp when two letters picked without replacement from {p: 7, l: 3, f: 9}. 7/114 Four letters picked without replacement from ucuhcud. What is prob of sequence ucdc? 1/140 Three letters picked without replacement from {p: 1, t: 1, b: 2, f: 3}. What is prob of sequence bfp? 1/35 What is prob of sequence ee when two letters picked without replacement from emmmmcaemmeayamcj? 3/136 Calculate prob of sequence pwc when three letters picked without replacement from peceeheeecfpefeewe. 1/1224 What is prob of sequence zzzw when four letters picked without replacement from wwwzzz? 1/20 Two letters picked without replacement from {o: 3, y: 1, t: 4, u: 6, d: 3, g: 1}. Give prob of sequence ud. 1/17 What is prob of sequence kb when two letters picked without replacement from sbkwkkssbwk? 4/55 What is prob of sequence ee when two letters picked without replacement from ccecce? 1/15 Three letters picked without replacement from {b: 7, p: 1}. What is prob of sequence bpb? 1/8 Calculate prob of sequence oouu when four letters picked without replacement from uauaoaooayayy. 1/1430 Three letters picked without replacement from {z: 2, h: 3, v: 1, x: 1, b: 5, q: 1}. What is prob of sequence xzq? 1/858 Four letters picked without replacement from {f: 12, x: 7}. What is prob of sequence xxxf? 35/1292 What is prob of sequence kk when two letters picked without replacement from iiiiikiiiiiikk? 3/91 Four letters picked without replacement from {n: 2, y: 1, d: 2, b: 3, j: 3, c: 1}. What is prob of sequence bjnj? 1/330 Two letters picked without replacement from foffgoxffffoffefffe. Give prob of sequence ex. 1/171 Calculate prob of sequence ir when two letters picked without replacement from {y: 1, i: 1, r: 16}. 8/153 Two letters picked without replacement from {w: 2, q: 9, v: 7}. What is prob of sequence wv? 7/153 Two letters picked without replacement from fmyyyjmjy. What is prob of sequence mj? 1/18 Calculate prob of sequence mcc when three letters picked without replacement from {m: 5, b: 7, c: 3, w: 2}. 1/136 Three letters picked without replacement from tdkybfb. Give prob of sequence bky. 1/105 Four le
{ "pile_set_name": "DM Mathematics" }
What is the second biggest value in 14, 2/7, i, 0.2? i Let q(o) = -4*o + 1. Let y be q(1). Let l = -986.5 - -986. What is the third biggest value in 0.2, l, y? y Let x = -73.9 + 87. Let j = -0.1 + x. Let p = 18 - j. Which is the third biggest value? (a) -2 (b) p (c) 2 a Let y = 0.074 - 0.104. Which is the biggest value? (a) 0.1 (b) -4 (c) y (d) -2/13 a Let k = 1 - 0. Let u = 27 - 21. Let o = -3 + u. What is the third smallest value in k, o, 4? 4 Suppose 3*i - 16 = -1. Let u = 1 + -0.9. Let d = u + 0.4. Which is the biggest value? (a) i (b) -4 (c) d a Let b(a) = -3*a - 71. Let v be b(-23). Let g be 0 + 4/22*(-2)/v. What is the smallest value in 0.07, -0.4, g? -0.4 Let i = 0.3 + 0. Let q = 0.98 + -0.18. Let y = q + 1.2. Which is the biggest value? (a) y (b) 2/11 (c) i a Let n = -3.5 + 0.5. Which is the second smallest value? (a) 0.2 (b) n (c) -4 (d) -0.4 b Let f(o) = -19*o - 70. Let u be f(-7). What is the second smallest value in -5, 0.2, u, 2? 0.2 Let s = -0.1 + 4.1. Let j = -7.58 - -2.58. Which is the smallest value? (a) s (b) j (c) 1 (d) 0.1 b Let u = -648 + 655. What is the smallest value in u, 2/7, 1, 0.06? 0.06 Let g = 1640.7 - 1641. Which is the third smallest value? (a) 237 (b) 1/12 (c) 0.1 (d) g c Let r = -6 + 8. Suppose 4*d = r*d - 6. Let q = 86 - 82. Which is the third biggest value? (a) 3 (b) d (c) q b Let w = -5181 + 5180.5. Let n = 6 - 6.02. Which is the third biggest value? (a) n (b) -0.3 (c) -4 (d) w d Let d = -211/204 - 62/51. What is the biggest value in -4, -0.2, d, -5? -0.2 Let d = -3.93 - -4.33. What is the fourth smallest value in -5/6, d, -5, 5? 5 Let k be -1 + (-45)/(-24) + -1. Let m = 24.46 + -25. Let p = 0.14 + m. What is the biggest value in 0.5, p, k? 0.5 Let p = 477/2 - 237. What is the second smallest value in 0, 0.1, p, -0.04? 0 Let r = -3 + -1. Let u = 728 - 725. Which is the second smallest value? (a) -0.5 (b) u (c) r a Let q(p) = 6*p**2 - 34*p - 12. Let w be q(6). What is the second biggest value in 45, 0.4, w? 0.4 Let h = 5.87 + -5.37. What is the biggest value in -344, h, 1? 1 Let m(j) = j + 14. Let k be m(-10). Let o = 0.426 - 0.126. Which is the biggest value? (a) k (b) 0 (c) o (d) -1/5 a Let z = 10994 - 11009. Let o = 2 - 0. What is the second smallest value in -1/2, z, o? -1/2 Let t = -26.6 + 2.6. Let n = t + 20. What is the second smallest value in 0, 2/5, n? 0 Let x(r) = 2*r. Let m(l) = 7*l - 22. Let s(i) = m(i) - 6*x(i). Let j be s(-18). What is the second smallest value in 0.4, j, -2? 0.4 Let o = 1105 + -4421/4. Let s = 12 - 7. Which is the second smallest value? (a) 3 (b) 2/9 (c) s (d) o b Let z = -4/7 + 10/21. What is the second biggest value in -0.8, z, -4? -0.8 Suppose 5*w + 3*a = -a + 8, -w + 3*a - 6 = 0. Suppose w = 4*m - 0*m. What is the smallest value in 4/5, -1/5, m? -1/5 Let u = 460 - 456. What is the third biggest value in u, -1/11, 8, 1/2? 1/2 Let k = 5.32 + -5.12. What is the second biggest value in 27, k, 3? 3 Suppose 16 = -4*y - 4. Let v = -5.4 - -27.4. Let k = 23 - v. What is the second smallest value in 0.4, y, k? 0.4 Let a = 695/2 - 346. What is the third biggest value in 0.5, -2/3, 1, a? 0.5 Let i = 0.11781 - 0.21781. Let j = 6/23 + -76/115. Which is the fourth biggest value? (a) i (b) 2/7 (c) j (d) -9 d Suppose 3*l = 4*s - 7 + 18, -8 = -l - 3*s. Which is the second smallest value? (a) -7 (b) l (c) -1 (d) 4/7 c Suppose 5 = -6*n + n. Let l be 15/(-10) - (n - -2)*-1. What is the third smallest value in l, 2/7, -3? 2/7 Let n = -0.4 + -3.6. Let g = -185 + 185.1. What is the third smallest value in n, 15, g? 15 Let r = 5869 + -5865. Let l = -0.06 + 2.06. What is the smallest value in -0.5, 2/7, r, l? -0.5 Let m = -0.1 + -0.5. Let i = -0.47 - m. Let z = i - -0.87. Which is the third smallest value? (a) 0.1 (b) 0.3 (c) z c Let m(s) = 73*s + 2. Let l be m(2). Let d = l + -439/3. Let g be 1 - 1/4*0. Which is the third smallest value? (a) g (b) d (c) -0.5 b Let i = 0.1 - 0.6. Let r = 0.849 + -1.149. Which is the second biggest value? (a) 9 (b) i (c) r c Let s = 724/3 - 241. Which is the fourth biggest value? (a) -4 (b) 0.5 (c) 29 (d) s a Let a = 176908/15 - 11794. Let x = 0.4 - 0.2. What is the third biggest value in x, -2/5, -2, a? -2/5 Let y = 11 + -10.6. Suppose 110 = -15*v - 55. What is the third smallest value in 0, v, -0.1, y? 0 Let p = -9.64 - -7.64. Let n = 0.4 - 4.4. Which is the second biggest value? (a) n (b) 0.1 (c) p c Let n be (196/(-63))/(2/(-28)). Let i = 388/9 - n. Let u be (-21)/(-9) + (-2)/2. What is the third smallest value in i, u, 2/5? u Let a = -596 + 596.4. What is the second smallest value in -1, a, 0.0531? 0.0531 Let u = -1219/996 + -16/83. Let x = -3/4 - u. What is the smallest value in 0, -0.1, -1/5, x? -1/5 Let u = -6 + 7.32. Let x = u - -0.08. Let n = -1.7 + x. What is the third biggest value in 0, n, -5? -5 Let x be ((153/(-36))/17)/((-2)/40). What is the third smallest value in x, -0.3, -0.1, -38? -0.1 Let s = 33.4 - 33.6. Which is the second smallest value? (a) 1/6 (b) -1/4 (c) s (d) -1/3 b Let u be 14/(-6) + 336/(-504). Let f = -49/4 + 433/36. Which is the fourth biggest value? (a) 2 (b) f (c) u (d) 0.3 c Let d be (-16 + 2 + 8)*(-2)/(-4). Let k(q) = q + 9. Let y be k(-8). Let p = y + -1/2. Which is the second biggest value? (a) p (b) 3 (c) d a Suppose 5*p = 5*b + 40, 90*b - 85*b = 3*p - 48. Let f be (-63)/(-30) - 4/(-10). What is the fourth smallest value in f, b, 0.4, 2/9? f Let v = 0.3 + -0.2. Let h be (-16)/40 - (8 + (-76)/10). What is the fourth biggest value in h, v, -1/2, -1? -1 Let v = 12.8 + -14. Let n = 1 + v. Let d = 2070/11 - 188. What is the second smallest value in n, -5, d? n Let t = -1120.2 - -1028. Let i = t + 92. Which is the fourth biggest value? (a) 1/11 (b) 3 (c) i (d) 14 c Let j = 749 - 750. Which is the third smallest value? (a) -4 (b) j (c) 5/16 (d) 3 c Let w = -2.3 - -25.9. Let v = w - 1.6. Let k = v - 20. What is the third smallest value in -0.1, -5, k? k Let l be ((-11)/(-22))/(1/(-2)). Which is the smallest value? (a) -5 (b) 1 (c) 0 (d) l a Let m(d) = d**2 + 9*d + 19. Let l be m(-3). What is the third smallest value in -4, l, -12? l Let z be 7*(8/21 - (-20)/(-30)). Let v = -83/5 - -17. Which is the smallest value? (a) v (b) -7 (c) -1/3 (d) z b Let g = -2285/16 - -573/4. Which is the second smallest value? (a) g (b) -5 (c) 0.2 c Let r = 939 + -934. Which is the second biggest value? (a) -17 (b) r (c) 2 c Let z = 18.54 - -0.46. Let g = 17.7 - z. Let v = -4.3 - g. What is the biggest value in v, -1, -2/9? -2/9 Let y be (-195)/920 - 6/(-69). What is the fourth biggest value in 0.2, 0.4, y, 4/3? y Let g = -2.21 - -2.01. Which is the third biggest value? (a) -0.4 (b) 5 (c) g a Suppose 0 = -4*u + 4*g + 1068, -2*u + 22 + 518 = g. What is the third smallest value in -1/5, u, 1? u Let l = 0.595 - 1.095. Which is the second smallest value? (a) l (b) -0.4 (c) -5 (d) -6/11 d Suppose -5 = -w - 2. Let h(g) = -13*g**2 - 6 + g**w + 5*g**2 + 3*g**2 + 2*g. Let k be h(5). Which is the smallest value? (a) -1 (b) 0.5 (c) k a Let g be (2/(-3))/((-4)/6). Let p be ((-3)/(-28))/(g/(-4)). Let h be (-7 + 172/28)/((-9)/(-42)). Which is the biggest value? (a) h (b) p (c) -0.02 c Let x = -225/4 - -57. Let z = 19.4 - 19. Let j = z - 1.4. Which is the biggest value? (a) x (b) -0.4 (c) j a Let h = -39 - -2. Let j = -37.5 - h. Which is the third biggest value? (a) j (b) 2/21 (c) 4 a Let j = 369.5 + -369. Let l = 2.3 - 7.4. Let y = -1.1 - l. What is the smallest value in j, 1, y? j Let o be (-483)/(-105) - (-2)/5. What is the fourth biggest value in o, 3, -0.08, 2/27? -0.08 Let w be 5/15*-15 + 3. Let h be (-1 - -1) + 2/(-4). What is the fourth smallest value in w, h, -5, 0.4? 0.4 Let u = 297 - 296.95. Which is the third smallest value? (a) 0.5 (b) -6 (c) u a Let o = 1.5 + -1.9. Which is the third biggest value? (a) 1 (b) 1/4 (c) -0.1 (d) o c Let i = 137.3 - 137. Let y = 1/63 + 61/126. Which is the biggest value? (a) y (b) 5 (c) i b Let m = -0.4 - -2.4. Let i = 0.56 + -37.56. Let t = i + 36.7. Which is the second biggest value? (a) -7 (b) m (c) t c Let c = 169 - 1689/10. What is the biggest value in 1, c, 1/5? 1 Let j = 11.05 + -11.
{ "pile_set_name": "DM Mathematics" }
Calculate the remainder when 273 is divided by 69. 66 Calculate the remainder when 413 is divided by 101. 9 What is the remainder when 183 is divided by 48? 39 What is the remainder when 806 is divided by 117? 104 Calculate the remainder when 8 is divided by 4. 0 Calculate the remainder when 270 is divided by 13. 10 Calculate the remainder when 1007 is divided by 29. 21 What is the remainder when 2408 is divided by 78? 68 What is the remainder when 115 is divided by 44? 27 What is the remainder when 976 is divided by 174? 106 What is the remainder when 167 is divided by 12? 11 Calculate the remainder when 3463 is divided by 183. 169 What is the remainder when 67 is divided by 10? 7 Calculate the remainder when 1159 is divided by 232. 231 What is the remainder when 2973 is divided by 119? 117 What is the remainder when 3156 is divided by 12? 0 What is the remainder when 48 is divided by 36? 12 What is the remainder when 230 is divided by 43? 15 What is the remainder when 431 is divided by 21? 11 What is the remainder when 193 is divided by 90? 13 Calculate the remainder when 668 is divided by 107. 26 What is the remainder when 33967 is divided by 86? 83 What is the remainder when 205 is divided by 39? 10 Calculate the remainder when 30059 is divided by 90. 89 What is the remainder when 5984 is divided by 63? 62 Calculate the remainder when 352 is divided by 39. 1 What is the remainder when 2334 is divided by 73? 71 Calculate the remainder when 72 is divided by 39. 33 Calculate the remainder when 477 is divided by 44. 37 Calculate the remainder when 243 is divided by 83. 77 What is the remainder when 198 is divided by 8? 6 What is the remainder when 82 is divided by 63? 19 Calculate the remainder when 8566 is divided by 209. 206 What is the remainder when 571 is divided by 282? 7 What is the remainder when 312 is divided by 85? 57 Calculate the remainder when 1104 is divided by 283. 255 What is the remainder when 317 is divided by 64? 61 Calculate the remainder when 5352 is divided by 206. 202 Calculate the remainder when 3372 is divided by 75. 72 Calculate the remainder when 1912 is divided by 128. 120 What is the remainder when 15 is divided by 5? 0 Calculate the remainder when 184 is divided by 8. 0 What is the remainder when 838 is divided by 143? 123 Calculate the remainder when 24 is divided by 3. 0 Calculate the remainder when 286 is divided by 134. 18 Calculate the remainder when 8817 is divided by 28. 25 What is the remainder when 649 is divided by 21? 19 What is the remainder when 224 is divided by 212? 12 Calculate the remainder when 3095 is divided by 97. 88 What is the remainder when 700 is divided by 54? 52 What is the remainder when 839 is divided by 28? 27 Calculate the remainder when 147 is divided by 9. 3 What is the remainder when 552 is divided by 143? 123 What is the remainder when 122 is divided by 41? 40 What is the remainder when 280 is divided by 59? 44 Calculate the remainder when 7552 is divided by 229. 224 What is the remainder when 2954 is divided by 102? 98 What is the remainder when 11087 is divided by 14? 13 Calculate the remainder when 618 is divided by 227. 164 Calculate the remainder when 180 is divided by 31. 25 What is the remainder when 550 is divided by 37? 32 Calculate the remainder when 136 is divided by 90. 46 What is the remainder when 2999 is divided by 30? 29 What is the remainder when 379 is divided by 129? 121 What is the remainder when 174 is divided by 37? 26 Calculate the remainder when 1336 is divided by 165. 16 What is the remainder when 564 is divided by 176? 36 What is the remainder when 376 is divided by 189? 187 Calculate the remainder when 2202 is divided by 49. 46 Calculate the remainder when 11651 is divided by 271. 269 What is the remainder when 1341 is divided by 3? 0 Calculate the remainder when 828 is divided by 47. 29 What is the remainder when 3835 is divided by 137? 136 Calculate the remainder when 195 is divided by 18. 15 What is the remainder when 42 is divided by 24? 18 Calculate the remainder when 2286 is divided by 567. 18 What is the remainder when 573 is divided by 45? 33 Calculate the remainder when 394 is divided by 197. 0 Calculate the remainder when 3959 is divided by 25. 9 What is the remainder when 662 is divided by 13? 12 What is the remainder when 1593 is divided by 142? 31 What is the remainder when 2153 is divided by 33? 8 What is the remainder when 1439 is divided by 12? 11 What is the remainder when 5381 is divided by 38? 23 What is the remainder when 467 is divided by 42? 5 Calculate the remainder when 2364 is divided by 1157. 50 What is the remainder when 312 is divided by 96? 24 What is the remainder when 491 is divided by 13? 10 Calculate the remainder when 112 is divided by 38. 36 What is the remainder when 259 is divided by 52? 51 Calculate the remainder when 39 is divided by 17. 5 Calculate the remainder when 235 is divided by 16. 11 Calculate the remainder when 1148 is divided by 146. 126 What is the remainder when 922 is divided by 16? 10 Calculate the remainder when 757 is divided by 36. 1 Calculate the remainder when 1871 is divided by 9. 8 What is the remainder when 135 is divided by 6? 3 Calculate the remainder when 712 is divided by 15. 7 What is the remainder when 399 is divided by 4? 3 Calculate the remainder when 958 is divided by 15. 13 Calculate the remainder when 7919 is divided by 89. 87 What is the remainder when 263 is divided by 89? 85 Calculate the remainder when 336 is divided by 13. 11 What is the remainder when 873 is divided by 303? 267 Calculate the remainder when 226 is divided by 6. 4 Calculate the remainder when 414 is divided by 81. 9 What is the remainder when 128 is divided by 7? 2 What is the remainder when 1469 is divided by 9? 2 Calculate the remainder when 1700 is divided by 31. 26 What is the remainder when 44 is divided by 6? 2 Calculate the remainder when 16 is divided by 5. 1 What is the remainder when 136 is divided by 34? 0 Calculate the remainder when 1242 is divided by 112. 10 What is the remainder when 1776 is divided by 106? 80 What is the remainder when 23 is divided by 8? 7 Calculate the remainder when 825 is divided by 9. 6 What is the remainder when 4138 is divided by 296? 290 Calculate the remainder when 2023 is divided by 17. 0 Calculate the remainder when 772 is divided by 198. 178 Calculate the remainder when 2342 is divided by 51. 47 Calculate the remainder when 1649 is divided by 28. 25 What is the remainder when 185 is divided by 72? 41 What is the remainder when 268 is divided by 47? 33 Calculate the remainder when 875 is divided by 26. 17 Calculate the remainder when 20 is divided by 11. 9 What is the remainder when 58 is divided by 7? 2 What is the remainder when 2600 is divided by 258? 20 Calculate the remainder when 1266 is divided by 206. 30 Calculate the remainder when 28286 is divided by 63. 62 Calculate the remainder when 246 is divided by 18. 12 What is the remainder when 801 is divided by 141? 96 What is the remainder when 471 is divided by 422? 49 Calculate the remainder when 5816 is divided by 62. 50 Calculate the remainder when 27 is divided by 14. 13 Calculate the remainder when 1575 is divided by 19. 17 What is the remainder when 193 is divided by 5? 3 What is the remainder when 12944 is divided by 121? 118 What is the remainder when 681 is divided by 227? 0 What is the remainder when 505 is divided by 249? 7 What is the remainder when 359 is divided by 175? 9 Calculate the remainder when 129 is divided by 26. 25 What is the remainder when 59 is divided by 17? 8 Calculate the remainder when 717 is divided by 10. 7 What is the remainder when 222 is divided by 56? 54 Calculate the remainder when 574 is divided by 8. 6 What is the remainder when 288 is divided by 136? 16 What is the remainder when 1075 is divided by 353? 16 Calculate the remainder when 97 is divided by 13. 6 What is the remainder when 191 is divided by 24? 23 What is the remainder when 766 is divided by 16? 14 Calculate the remainder when 349 is divided by 87. 1 What is the remainder when 847 is divided by 106? 105 What is the remainder when 402 is divided by 201? 0 What is the remainder when 592 is divided by 152? 1
{ "pile_set_name": "DM Mathematics" }
the remainder when n(6) is divided by 372. 84 Let h(l) = 26*l + 219. Suppose -131 - 58 = 27*f. Suppose 5*a - 29 = 3*b - 7*b, 0 = -3*a - 5*b + 20. What is the remainder when h(f) is divided by a? 2 Let q = 10983 - 10080. What is the remainder when q is divided by 81? 12 Let a = 2 - -1. Let t(q) = q**3 - 4*q**2 - 28*q + 2. Let v be t(9). Suppose 8*b - v = a*b. Calculate the remainder when b is divided by 12. 7 Let x = -9700 + 9761. Calculate the remainder when x is divided by 17 + 8*3/6. 19 Let i = 5654 - 5319. What is the remainder when i is divided by 17? 12 What is the remainder when ((-365)/(-4745))/((-2)/(-44434)) is divided by 57? 56 Suppose -4*s - 28 = 0, 5*d - 86*s + 82*s = 198. Calculate the remainder when 1026 is divided by d. 6 Suppose -128 = -0*m - 4*m. Suppose 5*c - 232 = 3*n, 0 = 3*c - 2*n + 53 - 193. Let a = c + -38. Calculate the remainder when m is divided by a. 2 Let w(y) = 5*y**2 - 45*y - 22. Let n be w(19). Suppose 74*s = 66*s + n. Suppose z - 10 = 14. What is the remainder when s is divided by z? 20 Suppose 0 = 25*f - 9*f - 2400. Calculate the remainder when (-44)/(-5)*(f/12 + -10) is divided by 7. 1 Suppose -123*c = -201*c + 936. What is the remainder when 16102 is divided by c? 10 Calculate the remainder when 205 is divided by ((-3025)/(-363))/((-1)/(-3)). 5 Suppose 26 = 2*a + 5*u - 62, 16 = -4*u. Suppose 2*o = 5*n + 4*o - a, -12 = -2*n + 4*o. What is the remainder when 76 is divided by n? 6 Let l = -71 + 180. Let y = l - 57. Suppose -44*o = -40*o - y. What is the remainder when 48 is divided by o? 9 Let r = -398 - -429. What is the remainder when 786 is divided by r? 11 Let r be 10 + -9 - (-3)/(12/16). Suppose r*m + 10*n - 507 = 9*n, -5*n = m - 111. What is the remainder when m is divided by 27? 20 Let a = 3846 - 3828. What is the remainder when 19 is divided by a? 1 Let o = 12445 - 12225. What is the remainder when 1066 is divided by o? 186 Let g be -4 + (9 - -4) - 4. Suppose 32 = m - 5*j, -m - j - 109 = -g*m. What is the remainder when 47 is divided by m? 20 Let l(y) = 38*y + 268. Let n = -2 + 9. What is the remainder when l(-6) is divided by n? 5 Suppose 185 + 35 = -11*z. What is the remainder when 8/z*-155*(-1 - -3) is divided by 18? 16 Suppose -2*m = -2*y - 3*y - 365, 0 = 5*m - 3*y - 884. Let v = 190 - m. Let w(c) = -6*c - 1. Calculate the remainder when v is divided by w(-1). 0 Let q = -43712 - -43720. Let v = -1 - -1. Suppose 4*h - 28 + 8 = v. Calculate the remainder when q is divided by h. 3 Let o(j) = j**2 - 12*j - 3. Let r be o(12). Calculate the remainder when 3 + (-7)/(28/(-516)) is divided by 1264/48 + (-2)/r. 24 Suppose -743 + 107 = -4*p. Suppose 0 = 18*c - 698 - 7366. Suppose -19*w + 33*w - c = 0. What is the remainder when p is divided by w? 31 Suppose 4*z = -2*w + 60, 4 = w + z - 31. Suppose 6*v - w = -10. What is the remainder when 1185/25 + (-1)/(v/2) is divided by 25? 22 Suppose f - 15 = -d, -2*f = 3*d - 0*d - 35. Suppose -f*t - 600 = -40*t. What is the remainder when 90 is divided by t? 10 Suppose -77 = 3*x + 29*x + 45*x. Let q(p) be the third derivative of -5*p**4/12 + 7*p**3/6 + p**2. What is the remainder when 48 is divided by q(x)? 14 Let r = 102 - 98. Suppose 3*q + 2*b = 33, r*b = -5*q - 0*b + 57. What is the remainder when 150 is divided by q? 6 Let g be (-1)/1 + (-1)/1. Let t(c) = 3*c**2 + c + 2. Let h(l) = 279*l - 2508. What is the remainder when t(g) is divided by h(9)? 0 Suppose -4*k + 337 = -k + 5*h, -2*k + 5*h + 233 = 0. Let u = 43 - 26. Suppose u*q - 16*q - 40 = 0. Calculate the remainder when k is divided by q. 34 Let s = 929 + 6009. What is the remainder when s is divided by 178? 174 Let u(b) be the first derivative of -b**4/4 + 7*b**3/3 - 5*b**2/2 + b + 11. Calculate the remainder when (-7)/((-21)/6) - 5*-25 is divided by u(5). 23 Let a(r) = 3*r - 670 + 315 + 324 + r. Suppose 90 = -u + 6*u. Calculate the remainder when a(u) is divided by 24. 17 Suppose 31*g + 10 = 36*g. Suppose g*v = 3*z + 40, -5*v + 0*v + 2*z = -122. What is the remainder when v is divided by 15? 11 Let i = 44 - 35. Let p = 13 - i. Suppose -p*a = 3*u - 80, 33 - 143 = -5*u - 2*a. What is the remainder when u is divided by 14? 6 Suppose -5*m + 5*t = -30 - 10, -5*m + 43 = -4*t. Let s = 35 + 137. What is the remainder when s is divided by m? 7 Suppose -4*t - 17*j + 258 = -8*j, 2*t - j = 162. What is the remainder when 540 is divided by t? 72 Let a(y) = -16*y**2 - 6*y - 19*y**2 + 34*y**2 + 19. Let w(p) = 4*p**2 - 3*p + 1. What is the remainder when w(-3) is divided by a(-7)? 10 Suppose -3*q = 3*r - 2*r - 44, -r - 4*q + 49 = 0. Suppose -3*f - 9 = 0, 589 = 9*y - 7*y - 3*f. Let a = 301 - y. What is the remainder when r is divided by a? 7 Let t = 343 - 315. Suppose -7*k + 84 = -t. What is the remainder when 62 is divided by k? 14 Let c = 7089 + -7087. Let h be 1/4 - (-18)/(-8). Calculate the remainder when 6*(h - (-24)/9) is divided by c. 0 Suppose 295 = -46*n + 1675. Calculate the remainder when 1258 is divided by n. 28 Let h(p) = p**2 - 11*p + 20. Let y be h(9). Let u be (-8 + y)/(15/(-10)). What is the remainder when u/(-1) + 87 + 72/9 is divided by 16? 11 Let s(j) = 3*j**2 - 85*j + 875. Suppose -5*n + 4*k - 47 = 38, -4*n = -3*k + 69. Calculate the remainder when s(12) is divided by 284/6 - 14/n. 47 Suppose 852 = -2*d + 938. What is the remainder when d is divided by 15? 13 Let i(z) = z**3 + 7*z**2 + 5*z - 4. Let o be i(-6). Let a be (0 - -42)*(-3)/(-12)*o. Suppose a + 27 = 3*j. Calculate the remainder when 47 is divided by j. 15 Let u(l) be the third derivative of l**5/30 + 11*l**4/24 + 13*l**3/6 + 30*l**2. Calculate the remainder when 4/(-6) - (-1744)/24 is divided by u(-6). 15 Let q(a) = -2*a**3 + 40*a**2 - 2*a + 35. Calculate the remainder when q(6) is divided by 19. 5 Let b(p) = -p**3 + 17*p**2 + 15*p + 60. Let c(v) = -13*v + 18. Let u be c(0). What is the remainder when 17 is divided by b(u)? 5 Suppose -2*r - 3*r + 700 = 0. Let y(p) = -p**3 + 3*p - 11. Let m be y(-3). Let z(q) = -q + 54. What is the remainder when r is divided by z(m)? 46 Let z(d) = 2*d**3 + 49*d**2 + 14*d - 112. What is the remainder when 256 is divided by z(-24)? 0 Suppose 0 = -3*h + 8*h - 105. Let y = 48 - h. Let q = -196 + 206. Calculate the remainder when y is divided by q. 7 What is the remainder when 1596 is divided by ((-45 + -3)/6 - -4) + 43*1? 36 Let q = -28477 + 29014. Calculate the remainder when 3228 is divided by q. 6 Suppose 49*j = -26*j + 2850. Calculate the remainder when 75 is divided by j. 37 Let o(i) = -4*i**3 - 81*i**2 - 405*i - 24. Calculate the remainder when 1396 is divided by o(-6). 334 Let h be 6/(-15) + 15/(-25). Let y be (h - (-25)/10)*10. Suppose 3*s + 3*c = 39, s - y = -2*c - 2. What is the remainder when s is divided by 3? 1 Let h = 121 - 588. Let m = h - -493. Calculate the remainder when 440 is divided by m. 24 Let s be 1*-1*(-8)/(24/9). Suppose -s*n + 30 = 2*f, -4*f + 0*f = -3*n - 78. What is the remainder when 46 is divided by f? 10 Suppose 4*j = -3*a + 112, 10*j = 12*j + 3*a - 62. What is the remainder when 1747 is divided by j? 22 Let q(y) be the second derivative of -y**5/20 - y**4/6 - y**3/2 + y**2/2 + 36*y. What is the remainder when 54 is divided by q(-3)? 16 Let c be 4750/16 - 127/(-1016). Let u = 354 + -500. Let k = c + u. Calculate the remainder when k is divided by 11. 8 Suppose -96*n + 97*n + 3*x - 6 = 0, 4*x + 12 = 2*n. Suppose -n*o - o + 1680 = 0. What is the remainder when o is divided by 11? 9 Let t(o) = 380 - 112*o + 102*o - 390. Let y(k) = -k**2 - 10. Let l be y(0). Calculate the remainder when t(l) is divided by 24. 18 Let t = 13223 - 13132. Calculate the remainder when 1540 is divided by t. 84 Let v be ((-21)/(-12))/((-3)/(-12))*1 + 2. Let u be ((-3)/(-6))/(1/28). Suppose -u = 8*a - v*a. Calculate the remainder when 38 is divided by a. 10 Let j = -2390 + 12383. Calculate the remainder when j is divided by 5. 3 Let m be (-1 + -1)/((-2)/37). Suppose 79 - 1159 = -24*x. Let o = x - m. Calculate the remainder when 36 is divided by o. 4 Let i(x) = -x**3 + x**2 + 4*x + 1. Let s(q) = -41*q + 125. Calculate the remainder when i(-3) is divided by s(3). 1 Let z = 44 - 33. Let l = z + 21. Calculate the remainder when (611/26)/((-3)/(-2))*6 is divided by l. 30 Let f = 841 - -229. Calculate the remainder wh
{ "pile_set_name": "DM Mathematics" }
834755. 3, 5, 722317 What are the prime factors of 1832968463? 23, 47, 1695623 List the prime factors of 62949232. 2, 17, 231431 List the prime factors of 175391007. 3, 11, 211, 25189 What are the prime factors of 141552022? 2, 70776011 List the prime factors of 171926982. 2, 3, 103, 30911 List the prime factors of 2717825214. 2, 3, 13, 206177 What are the prime factors of 7760813? 7760813 List the prime factors of 2197676152. 2, 7, 3863, 10159 List the prime factors of 54444582. 2, 3, 1008233 List the prime factors of 1051724011. 13, 31, 367, 547 List the prime factors of 84046851. 3, 7, 1334077 List the prime factors of 2015061967. 19, 106055893 List the prime factors of 109765577. 109765577 What are the prime factors of 1450455190? 2, 5, 145045519 List the prime factors of 41048053. 593, 69221 List the prime factors of 45748438. 2, 83, 275593 What are the prime factors of 641030744? 2, 47, 109, 15641 List the prime factors of 6330666207. 3, 199, 10604131 List the prime factors of 3048104577. 3, 7, 145147837 List the prime factors of 24177327. 3, 263, 30643 What are the prime factors of 174933409? 7, 24990487 List the prime factors of 36744783. 3, 127, 96443 List the prime factors of 549001641. 3, 677, 270311 List the prime factors of 432592543. 59, 7332077 List the prime factors of 47319030. 2, 3, 5, 11, 47797 List the prime factors of 73074709. 4421, 16529 What are the prime factors of 345458935? 5, 367, 188261 List the prime factors of 84178120. 2, 5, 13, 161881 What are the prime factors of 787921131? 3, 929, 282713 List the prime factors of 1697224186. 2, 7, 71, 659, 2591 What are the prime factors of 149237915? 5, 23, 29, 73, 613 List the prime factors of 28745248. 2, 7, 128327 What are the prime factors of 50057845? 5, 887, 11287 What are the prime factors of 160153689? 3, 29, 1840847 List the prime factors of 852548133. 3, 67, 239, 17747 List the prime factors of 115024166. 2, 157, 337, 1087 List the prime factors of 388594684. 2, 47, 2066993 What are the prime factors of 109952078? 2, 41, 1340879 What are the prime factors of 27204651? 3, 353, 8563 What are the prime factors of 1995597011? 30449, 65539 What are the prime factors of 1936946958? 2, 3, 322824493 List the prime factors of 751981648. 2, 11, 61, 89, 787 List the prime factors of 71080982. 2, 7, 61, 83233 What are the prime factors of 7037514945? 3, 5, 156389221 What are the prime factors of 46648711? 46648711 List the prime factors of 1600838685. 3, 5, 5051, 7043 List the prime factors of 28682180. 2, 5, 1434109 What are the prime factors of 161110066? 2, 13, 109, 4373 List the prime factors of 536938033. 43, 109, 1051 List the prime factors of 1381294848. 2, 3, 43, 151, 277 What are the prime factors of 101284537? 53, 1911029 List the prime factors of 1484424070. 2, 5, 43, 59, 58511 List the prime factors of 4846372427. 13, 17, 19, 1154173 What are the prime factors of 1476359425? 5, 269, 219533 What are the prime factors of 4770953462? 2, 11, 59, 991, 3709 List the prime factors of 77030996. 2, 7, 773, 3559 List the prime factors of 3793885102. 2, 7, 389, 599, 1163 What are the prime factors of 11066647? 11066647 What are the prime factors of 316544924? 2, 151, 524081 List the prime factors of 1918618418. 2, 137, 7002257 List the prime factors of 145077566. 2, 71, 1021673 What are the prime factors of 71415607? 47, 83, 18307 List the prime factors of 46759297. 13, 3596869 What are the prime factors of 1482940713? 3, 107, 1783, 2591 List the prime factors of 3823666917. 3, 7, 109, 773, 2161 List the prime factors of 14680575. 3, 5, 7, 13, 239 List the prime factors of 1430243618. 2, 307, 2329387 What are the prime factors of 451026066? 2, 3, 19, 1069, 3701 What are the prime factors of 84116262? 2, 3, 233, 60169 What are the prime factors of 253397164? 2, 23, 37, 74441 List the prime factors of 164347952. 2, 10271747 List the prime factors of 193824897. 3, 7, 9229757 What are the prime factors of 1098979038? 2, 3, 19, 71, 45259 What are the prime factors of 108580054? 2, 11, 17, 41, 73, 97 What are the prime factors of 46638918? 2, 3, 43, 60257 List the prime factors of 1650110847. 3, 7, 11, 1571, 4547 What are the prime factors of 181168282? 2, 1021, 88721 What are the prime factors of 166601771? 7, 23800253 List the prime factors of 172470021. 3, 57490007 What are the prime factors of 9165687? 3, 3055229 What are the prime factors of 432229531? 47, 9196373 What are the prime factors of 23440184? 2, 977, 2999 List the prime factors of 3037102199. 16481, 184279 What are the prime factors of 86456501? 2711, 31891 What are the prime factors of 142990639? 11, 12999149 What are the prime factors of 2619476957? 67, 39096671 List the prime factors of 73331567. 23, 67, 2069 List the prime factors of 6862183887. 3, 13, 19, 73, 126859 List the prime factors of 874663422. 2, 3, 145777237 What are the prime factors of 6043480050? 2, 3, 5, 40289867 What are the prime factors of 148993366? 2, 43, 661, 2621 List the prime factors of 4319491. 11, 37, 10613 List the prime factors of 1635208697. 1635208697 List the prime factors of 5460513616. 2, 341282101 What are the prime factors of 69035275? 5, 2761411 What are the prime factors of 136137041? 136137041 What are the prime factors of 2537644366? 2, 17, 74636599 List the prime factors of 157689409. 191, 227, 3637 List the prime factors of 407479233. 3, 7, 19403773 What are the prime factors of 186858903? 3, 7, 11, 73, 1583 List the prime factors of 5495854. 2, 7, 13, 30197 List the prime factors of 33837893. 33837893 List the prime factors of 13877770. 2, 5, 31, 89, 503 What are the prime factors of 722353404? 2, 3, 113, 532709 List the prime factors of 27988064. 2, 13, 19, 3541 List the prime factors of 1607187367. 1847, 870161 What are the prime factors of 482781605? 5, 149, 648029 List the prime factors of 42407046. 2, 3, 11, 214177 List the prime factors of 71550443. 7907, 9049 List the prime factors of 2766850404. 2, 3, 71, 3247477 What are the prime factors of 182198465? 5, 41, 888773 List the prime factors of 78496792. 2, 11, 23, 38783 What are the prime factors of 120872112? 2, 3, 1567, 1607 What are the prime factors of 500682761? 89, 5625649 List the prime factors of 5184259287. 3, 1728086429 List the prime factors of 77570387. 77570387 List the prime factors of 95425450. 2, 5, 41, 46549 What are the prime factors of 2120141106? 2, 3, 19, 29, 241, 887 List the prime factors of 80132755. 5, 16026551 List the prime factors of 1540482506. 2, 17, 45308309 List the prime factors of 310205456. 2, 11, 1762531 List the prime factors of 420201658. 2, 59, 373, 9547 What are the prime factors of 134728376? 2, 283, 59509 List the prime factors of 6423572590. 2, 5, 37, 383, 45329 What are the prime factors of 1619956763? 229, 7074047 What are the prime factors of 493820666? 2, 233, 1059701 What are the prime factors of 1586509911? 3, 7, 25182697 List the prime factors of 3440292501. 3, 97, 547, 21613 List the prime factors of 22442476. 2, 7, 801517 List the prime factors of 248205063. 3, 82735021 What are the prime factors of 266053188? 2, 3, 71, 312269 What are the prime factors of 2217985225? 5, 47, 229, 8243 What are the prime factors of 894416559? 3, 298138853 List the prime factors of 36881937. 3, 107, 38299 What are the prime factors of 179390430? 2, 3, 5, 37, 17957 List the prime factors of 105824888. 2, 13, 53, 73, 263 List the prime factors of 1131307470. 2, 3, 5, 2897, 4339 List the prime factors of 107183294. 2, 19, 59, 47807 What are the prime factors of 43748530? 2, 5, 7, 23, 29, 937 What are the prime factors of 65019648? 2, 3, 31, 2731 List the prime factors of 216810105. 3, 5, 2273, 6359 List the prime factors of 31405887. 3, 387727 List the prime factors of 169523304. 2, 3, 313, 22567 List the prime factors of 232399358. 2, 773, 150323 What are the prime factors of 102727462? 2, 53, 97, 103 What are the prime factors of 240019737? 3, 80006579 List the prime factors of 600834286. 2, 13, 887, 26053 List the prime factors of 18012799. 7, 29, 89, 997 List the prime factors of 1633423737. 3, 11, 137, 439, 823 What are the prime factors of 679145369? 7, 9337, 10391 What are the prime factors of 322833817? 322833817 What are
{ "pile_set_name": "DM Mathematics" }
(-2/3)/p))*p*p))**(-23/4)*(p**(-6)/p)/p*p*p*p/(p/(p/(p**3/p))*p)*p assuming p is positive. p**(77/12) Simplify b**3/b*b**(1/3) assuming b is positive. b**(7/3) Simplify ((f*(f*f/f**13*f)/f*f)/f)/(f/f**(-38)) assuming f is positive. f**(-49) Simplify q**(-13)/q**(3/17) assuming q is positive. q**(-224/17) Simplify (p*p*p*p**(-1))**47 assuming p is positive. p**94 Simplify (u**(-1)/(u*u**5))/(u*u**0)**(-17) assuming u is positive. u**10 Simplify s**(5/3)/(s*s*s*s*(s**(8/3)/s)/s) assuming s is positive. s**(-3) Simplify (n*n**(1/15))/n*n*n*n*((n**(-2/5)/n*n)/n)/n assuming n is positive. n**(2/3) Simplify ((b**4/b)/b*b*b**(2/13))**(2/29) assuming b is positive. b**(82/377) Simplify (b**6*b**(-1/2))**(-1/56) assuming b is positive. b**(-11/112) Simplify (w/(w**0*w)*w/(w**(11/4)*w*w))**(-37) assuming w is positive. w**(555/4) Simplify ((l/(l/(l**(-1/16)/l)))/l*l)**(6/7) assuming l is positive. l**(-51/56) Simplify (x**17)**(8/5) assuming x is positive. x**(136/5) Simplify (((x*x**(2/3))/x)/x)/((x*x**5*x)/x)*(x/(x**(-2/3)*x*x*x))**(1/49) assuming x is positive. x**(-935/147) Simplify (((l**(-5/11)*l)/l)/l*l)/l*l/l**(3/5) assuming l is positive. l**(-58/55) Simplify y/(y**20/y*y)*y*y/y**(-1/29) assuming y is positive. y**(-492/29) Simplify (c*c**9*c*c)/(c**5/c)*c*c**(2/31)*c*c*c**(-3/8)*c assuming c is positive. c**(2899/248) Simplify ((t*t**0*t*t)/(t*t**6))**(-39) assuming t is positive. t**156 Simplify o**(-1)/(o/(o**(-1)/o)) assuming o is positive. o**(-4) Simplify ((s*(s*s/(s*s/(s**17*s)))/s*s*s)/s)**1 assuming s is positive. s**19 Simplify (s*s*s/(s*s**(5/2))*s*s*s*s**4/s)/(s*s**2)**(-5/4) assuming s is positive. s**(37/4) Simplify h**(-3)*h*h**(-2/9)/h*h*(h**4*h)/h*h**1/h assuming h is positive. h**(16/9) Simplify (((w**(-3)/w)/w)/((w/w**(-7))/w))/(w**(-2))**(2/7) assuming w is positive. w**(-80/7) Simplify (f/(f/((f/f**(1/4)*f)/f)))**(-40) assuming f is positive. f**(-30) Simplify f/(f/(f*f/(f*f*f**(-2/5)*f*f)*f))*f/f**5*f/f**(2/7)*f*f**(2/17) assuming f is positive. f**(-1647/595) Simplify (m/(m/(m*(m*m**(3/7)/m)/m)*m)*m)**22 assuming m is positive. m**(66/7) Simplify (s/(s*s**9)*s)**(-40) assuming s is positive. s**320 Simplify (l/(l**(2/5)*l))**39/(l**(1/6)*l*l**(-9)) assuming l is positive. l**(-233/30) Simplify o**6*o*o**(-27) assuming o is positive. o**(-20) Simplify b/b**0*b*b*b/(b**(3/13)*b) assuming b is positive. b**(36/13) Simplify ((c**(3/4)*c)/c*c**(2/13))/(c**(1/2)*c**(-1)) assuming c is positive. c**(73/52) Simplify r**(-23)/(r**(2/15)/r) assuming r is positive. r**(-332/15) Simplify (b/(b/(b/(b*b**1))*b*b*b))**35*b*b*b**(-2/11)*b*b**(5/4) assuming b is positive. b**(-5981/44) Simplify (j/((j*j**(-1/2)*j*j)/j)*j)**23*j**(-9)*j*j**(-6/11) assuming j is positive. j**(65/22) Simplify ((n*n**(-1/3)*n)/n)**41*(n/n**(1/4))**(2/11) assuming n is positive. n**(1813/66) Simplify (t*t*t/(t*t*(((t/(t**(-1/3)/t)*t)/t)/t)/t))**8/((t*t**(-1))/(t*t/t**(6/5))) assuming t is positive. t**(92/15) Simplify (d**(-13)*d)/((d/d**(-14))/d) assuming d is positive. d**(-26) Simplify ((x*x*x**(-1/4)/x*x)/x*x)**(1/3)/(x**(-1/4))**19 assuming x is positive. x**(16/3) Simplify (i**5*i**(-10))/((i/(i*((i/i**2*i)/i)/i))/((i/((i/(i**(1/12)*i*i))/i))/i)) assuming i is positive. i**(-59/12) Simplify (b**(-6)*b**(-1/2))/(b*b**9*(((b**(-1/8)*b)/b)/b*b)/b) assuming b is positive. b**(-123/8) Simplify ((l/((l**(-1)*l)/l))**29)**39 assuming l is positive. l**2262 Simplify b/b**(-12)*b*b**18*b*b assuming b is positive. b**34 Simplify ((c/(((c/(c**1/c))/c)/c))**(2/65))**45 assuming c is positive. c**(36/13) Simplify ((z/z**(-10))/z)**(-2/11) assuming z is positive. z**(-20/11) Simplify k**(-5)/k**(1/8)*(k**5*k)/k**4 assuming k is positive. k**(-25/8) Simplify (((q**(-5/4)*q)/q*q)/q)/q*q**7 assuming q is positive. q**(19/4) Simplify ((a*a*a*a/(a*a/(a*a*(a/(a**(-5)/a))/a)*a*a)*a)/(a*a**(-6)*a*a))/(((a*a*a*a/a**5*a)/a*a)/a**3) assuming a is positive. a**15 Simplify (f/f**(-12/13))/(f/((f*f*f**25)/f)) assuming f is positive. f**(350/13) Simplify (h/h**(-1/10))**(1/70) assuming h is positive. h**(11/700) Simplify (d**1/d*d)**(2/11) assuming d is positive. d**(2/11) Simplify u**(-17/3)/u**(8/3) assuming u is positive. u**(-25/3) Simplify (d*(d*(d/(((d*(d/(d/(d**(-1/13)*d)))/d)/d)/d*d))/d*d)/d*d)/d**(-25) assuming d is positive. d**(365/13) Simplify (o**6*o**(-3)*o*o)/(o**(-4/5)*o**(-3/5)) assuming o is positive. o**(32/5) Simplify ((c**2*c*c)**(-2/17))**(2/31) assuming c is positive. c**(-16/527) Simplify ((l**(-4))**(-27/7))**(8/7) assuming l is positive. l**(864/49) Simplify (k/(k/(k*k*(k*(k**1/k)/k)/k)))**(18/7)*k**(5/2)/(k*k/k**(-6)) assuming k is positive. k**(-41/14) Simplify r**(-3)/r*r*(r*r**7)/r*r**5/r**(-3) assuming r is positive. r**12 Simplify d/d**15*d*d*(d**6*d*d)/d assuming d is positive. d**(-5) Simplify (w**(6/7)/(w**(-2/11)/w))**(-33) assuming w is positive. w**(-471/7) Simplify y**0*y*y*y*y*y*y**(-1/2) assuming y is positive. y**(9/2) Simplify (r**(-1)/r**6)/((r*r**(-1)*r)/(r/r**0)) assuming r is positive. r**(-7) Simplify (w*w*w**(-9/7))**(6/11) assuming w is positive. w**(30/77) Simplify ((n*(n**(1/2)*n*n)/n)**11)**3 assuming n is positive. n**(165/2) Simplify q**(-43)/q**33 assuming q is positive. q**(-76) Simplify (u**(1/14))**(6/11) assuming u is positive. u**(3/77) Simplify (k*k*k**(-2))**(-11) assuming k is positive. 1 Simplify (q/(q*q*q/q**(-10))*q**(-2/9))**13 assuming q is positive. q**(-1430/9) Simplify ((m**(-1)*m)/m)/(m**(13/3)*m*m) assuming m is positive. m**(-22/3) Simplify h**4*h*h/(h/h**(-1))*((h/(h*h**(-2/7)*h)*h)/h)**(-1/2) assuming h is positive. h**(61/14) Simplify c**(1/3)/(c*c**7/c*c)*c**(-2/17)/(c/(c*c/((c/(c*c/c**(-1/2)))/c)*c)) assuming c is positive. c**(-335/102) Simplify (k*((k/(k/(k**(-16)/k)))/k*k)/k)/(k/(k*k**(1/27))) assuming k is positive. k**(-458/27) Simplify (f**(1/16)/f)/f*f*f**(-14)*f assuming f is positive. f**(-223/16) Simplify (r**(2/23)/(((r*r**(-1/27))/r*r)/r*r))**26 assuming r is positive. r**(-14144/621) Simplify ((g*(g/(g/g**(2/5)*g))/g*g)/g**(-1))**(-9) assuming g is positive. g**(-63/5) Simplify ((k**(2/17)*k)/(k*(k*(k/(k/(((k*k/(k/(k/(k/(k**(-5)/k)))))/k)/k)))/k)/k))**19 assuming k is positive. k**(2622/17) Simplify (y**(-3/4)*y*y**(2/21))/((y**2/y*y*y)/y**(-2/15)) assuming y is positive. y**(-1171/420) Simplify q*((q/(q*q*(q/(q/(q*q**2*q))*q*q)/q))/q)/q*q*(q/q**(-8))/q*(q**(8/7)/q)/q*((q/q**(1/2))/q)/q assuming q is positive. q**(-5/14) Simplify q**(-6)/(q/q**2)*(q/(((q*q**2)/q)/q))**(-8/7) assuming q is positive. q**(-5) Simplify (i*i*i**0)**(-1/12)*i**(2/3)*i*i*i**(-1/7) assuming i is positive. i**(33/14) Simplify p/(p/(p*p**(-2/17)/p))*p**(-9)*p*(p/(p/p**(-11)))/(p*p**7/p) assuming p is positive. p**(-444/17) Simplify a*a**(4/25)*a**(4/19) assuming a is positive. a**(651/475) Simplify x**(2/19)*x/x**5*x assuming x is positive. x**(-55/19) Simplify ((q*(q*(q/(q/(q*q/(q*q**(2/23)*q)*q*q)))/q)/q*q*q)/(q**(-6)*q))/((q*q**(-2))/q*q*q)**(-3/16) assuming q is positive. q**(205/23) Simplify c**(-7/9)/(c/(c/c**(-37/4))) assuming c is positive. c**(305/36) Simplify ((j**(-3/16)/j)/j**(-9))**(-16) assuming j is positive. j**(-125) Simplify ((f**6/f*f)/(f/(f/(f/(f*f*f**4*f)))*f))**(-32) assuming f is positive. f**(-352) Simplify ((d/d**(-3))/(d/((d/(d**(-2)*d))/d)))/(d**0/d)**(-1/11) assuming d is positive. d**(43/11) Simplify (b**1)**(4/25)/(b/(b**(1/4)/b*b*b))**(-16) assuming b is positive. b**(-96/25) Simplify ((p/(p/p**0))**25)**45 assuming p is positive. 1 Simplify q**0/(q*q/(q*q*q**(3/8)))*q**1*q/q**(-5)*q*q*q assuming q is positive. q**(83/8) Simplify (a**(-1/2))**45/(a**(1/2))**(-10/11) assuming a is positive. a**(-485/22) Simplify y**(-2/7)/y**(-3/5) assuming y is positive. y**(11/35) Simplify ((o/(o/o**(2/5)))/o**2)**(-4/19) assuming o is positive. o**(32/95) Simplify (h/(h/h**(2/37)))**17 assuming h is positive. h**(34/37) Simplify (c/(c**9*c))**(-35) assuming c is positive. c**315 Simplify (i**(1/4))**(-40) assuming i is positive. i**(-10) Simplify b**(-1/25)*b**(-17) assuming b is positive. b**(-426/25) Simplify (((d**(2/21)*d)/d)/d*(d*d**2*d)/d)**(2/13) assuming d is positive. d**(88/273) Simplify (d/(((d**6*d)/d)/d))/d**32 assuming d is positive. d**(-36) Simplify ((z*z/z**0*z)/z*(z/(z/(z**(-6/5)
{ "pile_set_name": "DM Mathematics" }
0, what is -2037429 - 8? -2037437 In base 4, what is -22201201130 - 101? -22201201231 In base 14, what is -70cd9c - -5? -70cd97 In base 2, what is -111011001100011 + 1000001100000? -110011000000011 In base 9, what is -4555 + 12125? 6460 In base 9, what is -80450 - -870? -78470 In base 5, what is 12431102 - -113? 12431220 In base 10, what is 3 - 51294107? -51294104 In base 2, what is -111110011101011101011 + 10000? -111110011101011011011 In base 5, what is -401400412 - 11? -401400423 In base 4, what is -10 - 11333222? -11333232 In base 4, what is -11230000 - -22213? -11201121 In base 13, what is -460a92 - 4? -460a96 In base 13, what is -62a52 - 2? -62a54 In base 11, what is 50302714 + -4? 50302710 In base 8, what is -1511 - 120711? -122422 In base 9, what is 16 - -2627818? 2627835 In base 12, what is 788a29 - -90? 788ab9 In base 5, what is 1 - 423332324? -423332323 In base 5, what is 1141231214 - -11? 1141231230 In base 9, what is -5 + 58576018? 58576013 In base 11, what is -215a14221 + 2? -215a1421a In base 8, what is 1 + 67273766? 67273767 In base 2, what is -1001100011000110100100010 - 0? -1001100011000110100100010 In base 16, what is 24e1 + 8fc? 2ddd In base 6, what is -1133 - -44342? 43205 In base 4, what is -11031 + 12201330? 12130233 In base 2, what is -101 - 11101011111010111001100? -11101011111010111010001 In base 4, what is -123 - -210111102? 210110313 In base 7, what is 6 - 643063220? -643063211 In base 12, what is -4 + 12148a2? 121489a In base 13, what is -3b + a6358? a631a In base 6, what is -52544404 + -4? -52544412 In base 5, what is -1240111131 - 133? -1240111314 In base 9, what is -2657584 + -124? -2657718 In base 14, what is -245 - ba2? -1007 In base 10, what is 6271547 + 14? 6271561 In base 7, what is 526123 - -1264? 530420 In base 6, what is 240510153 - 3? 240510150 In base 8, what is 220430 - -152? 220602 In base 13, what is 9bb5b + -a66? 9b0c5 In base 6, what is -4245024 + -35? -4245103 In base 16, what is bf - -a7df0? a7eaf In base 5, what is 233 + 1040044? 1040332 In base 11, what is -133907 + -14? -133920 In base 11, what is a - 5087aa58? -5087aa49 In base 9, what is 386110 + 2710? 388820 In base 11, what is 204 - -205a08? 206111 In base 2, what is 11001011100110100100111 + 100? 11001011100110100101011 In base 11, what is 524 + 127164? 127688 In base 8, what is -2300 + -72051? -74351 In base 6, what is -103 - 3214535? -3215042 In base 11, what is -30294 - -3392? -27a02 In base 5, what is -211312 + -310213? -1022030 In base 13, what is -43 + -10c409? -10c44c In base 11, what is a - -65a8400? 65a840a In base 15, what is -4 + -2a0181? -2a0185 In base 8, what is -5 - 56751510? -56751515 In base 16, what is -4 + 815568? 815564 In base 5, what is -303 + -30220221? -30221024 In base 13, what is 761 - -14372? 14b03 In base 9, what is 14267 + 31556? 45834 In base 6, what is 103505 + 54544? 202453 In base 6, what is 1 + -554403234? -554403233 In base 15, what is 5 - -121a4bb? 121a4c1 In base 14, what is 13c2454 - 1c? 13c2436 In base 12, what is -2 - 2a6b366? -2a6b368 In base 13, what is 30 - 554a0? -55470 In base 6, what is 2250333500 + 54? 2250333554 In base 16, what is 1a6 + 9471? 9617 In base 13, what is -2 + 4068b6? 4068b4 In base 7, what is 632 - 32211? -31246 In base 4, what is 130022 - 1232111? -1102023 In base 3, what is 102210 - 102001011? -101121101 In base 13, what is 3 - a68bb8? -a68bb5 In base 13, what is 7a41 + 564? 82a5 In base 7, what is -163 + 11523144? 11522651 In base 9, what is 52181 - -34? 52225 In base 11, what is -2 + aa16030? aa16029 In base 12, what is -12a - -32478? 3234a In base 15, what is 75 + 167d9? 1685e In base 13, what is -19630b + 2b? -1962b0 In base 10, what is -1 + -4507733? -4507734 In base 9, what is 2 + 120115551? 120115553 In base 10, what is 0 + -66671318? -66671318 In base 6, what is 112 + 1140014453? 1140015005 In base 3, what is 101 + -1121012002112? -1121012002011 In base 9, what is -4830373 - -3? -4830370 In base 4, what is -213102112331 + 0? -213102112331 In base 7, what is 1002 + 40556? 41561 In base 8, what is -34 + -241135? -241171 In base 7, what is 201 - 1603054? -1602553 In base 9, what is 325 - 18464? -18138 In base 6, what is 4 - 234211031? -234211023 In base 9, what is -13816820 - -4? -13816815 In base 7, what is -40543035 + 5? -40543030 In base 9, what is -17626 + 152148? 133422 In base 16, what is 8 + 3224265? 322426d In base 16, what is ed2 + 1611? 24e3 In base 9, what is -242333 - -452? -241771 In base 12, what is -71664 - 34? -71698 In base 2, what is 111010111100001111000101100 - 11? 111010111100001111000101001 In base 16, what is 8c4d - 1b3e? 710f In base 3, what is -101110 - -1122001201? 1121200021 In base 9, what is -224143475 + -3? -224143478 In base 10, what is 879 - 1133324? -1132445 In base 15, what is -2e + 5724e3? 5724b4 In base 6, what is 21112341 - 1513? 21110424 In base 12, what is -193 + 1a917a? 1a8ba7 In base 9, what is 5 - -31234426? 31234432 In base 15, what is cdd4 + 483? d367 In base 13, what is 60c - -1cc7? 2606 In base 7, what is -410205113 - 14? -410205130 In base 14, what is -8009 - -2a17? -53d2 In base 16, what is 3 + 72317e4? 72317e7 In base 9, what is -26837626 - -8? -26837617 In base 6, what is -143145 + 13042? -130103 In base 9, what is 3233352818 + 5? 3233352824 In base 12, what is -78862 - 158? -789ba In base 14, what is -89ad32 + -5? -89ad37 In base 4, what is -1213313300 - 33? -1213313333 In base 12, what is -2937aa99 - -5? -2937aa94 In base 15, what is -4e6d09ae - 1? -4e6d09b0 In base 15, what is -4ce + 420b3? 41ad4 In base 14, what is 1246 - 102b? 219 In base 2, what is 101101011011001001 - 10010? 101101011010110111 In base 6, what is 2144123 - -1101? 2145224 In base 10, what is -13500681 + -94? -13500775 In base 16, what is 2 + 747e5? 747e7 In base 2, what is 111001111000010100111010111 + -101? 111001111000010100111010010 In base 9, what is -16 + 12773821? 12773804 In base 14, what is -620b4 - -2b? -62087 In base 15, what is -b - 27bc01? -27bc0c In base 7, what is 1544 + -5533203? -5531326 In base 15, what is a0a5ed - 7? a0a5e6 In base 5, what is 114242030 - 22320? 114214210 In base 10, what is 83316722 + -15? 83316707 In base 10, what is -2367 + -105613? -107980 In base 5, what is 10132143 - -130? 10132323 In base 2, what is 100 - -11011110010000110100111? 11011110010000110101011 In base 2, what is -10010001110101 + -100101101000101? -110111110111010 In base 3, what is 2012222 - 110001001202? -102221211210 In base 2, what is 1110 - 1110100001110111000110? -1110100001110110111000 In base 9, what is -4 + -507102373? -507102377 In base 2, what is 0 + 11001011011100001001011? 11001011011100001001011 In base 12, what is 15a + 21b14b? 21b2a9 In base 4, what is -2200213 + 1002321? -1131232 In base 7, what is 45064 + -5251? 36513 In base 11, what is -26633 - 4151? -2a784 In base 15, what is 6 - b5cd28? -b5cd22 In base 12, what is -46b71 - -22a? -46943 In base 3, what is -1020220112021112 - -21? -1020220112021021 In base 7, what is -563231 + -5? -563236 In base 6, what is 1043443403 - -34? 1043443441 In base 2, what is -10101010001110001000101 - -1? -10101010001110001000100 In base 10, what is 11423150 - -3? 11423153 In base 14, what is 34 - 53adb0? -53ad7a In base 13, what is -c - 1384b8? -1384c7 In base 10, what is -6466859 + 2? -6466857 In base 3, what is -22101220 - -1110220212? 1011111222 In base 14, what is 5 + c4? c9 In base 5, what is 10101320220 + 20? 10101320240 In base 15, what is -2ed - -252e? 2231 In base 9, what is 4 - 4337612? -4337607 In base 6, what is -3001234 - -133? -3001101 In base 13, what is 41 + -22245? -22204 In base 15, what is -45376e + 169? -453605 In base 13, what is -35c99a - -53? -35c947 In base 9, what is 4587263 + -420? 4586743 In base 3, what is 2 - -1011012011002? 1011012011011 In base 5, what is 3142 + 12022240? 12030432 In base 6, what is -4 - -14552330? 14552322 In base 8, what is -7 + 4015105? 4015076 In base 5, what is -11020 - 1010101? -1021121 In base 12, what is -683b4 - 1913? -6a107 In base 16, what is -787f100 + -2? -787f102 In base 8, what is -11321 + 60616? 47275 In base 6, what is 1301334 + -1102? 1300232 In base 7, what is 36 - -615542? 615611 In base 16, what is -15b - -c106? bfab In base
{ "pile_set_name": "DM Mathematics" }
1 d. 1/85 Calculate prob of picking 3 k and 1 q when four letters picked without replacement from {k: 3, q: 5}. 1/14 Three letters picked without replacement from ggzzcwwgwwemceg. Give prob of picking 3 w. 4/455 Two letters picked without replacement from vbxuabf. Give prob of picking 1 b and 1 f. 2/21 Four letters picked without replacement from bmmmmbmmmmb. What is prob of picking 3 b and 1 m? 4/165 Two letters picked without replacement from {l: 4, s: 11, d: 3}. Give prob of picking 2 l. 2/51 What is prob of picking 2 e when two letters picked without replacement from {h: 3, e: 4, f: 2, z: 1, y: 1}? 6/55 What is prob of picking 3 v when three letters picked without replacement from {o: 4, v: 15}? 455/969 Calculate prob of picking 1 e and 1 j when two letters picked without replacement from jjjjxexxejxxcjcjj. 2/17 Calculate prob of picking 3 v when three letters picked without replacement from vjqqljpf. 0 Three letters picked without replacement from {h: 6, y: 1, e: 3, v: 3, j: 2, d: 5}. Give prob of picking 1 j and 2 v. 1/190 Two letters picked without replacement from auaduadaauuaidzv. What is prob of picking 2 u? 1/20 Two letters picked without replacement from xpxjj. Give prob of picking 2 x. 1/10 Calculate prob of picking 1 v and 2 x when three letters picked without replacement from vxvvvvvvxvx. 8/55 What is prob of picking 1 u and 2 a when three letters picked without replacement from {a: 7, u: 3}? 21/40 Calculate prob of picking 1 g and 2 i when three letters picked without replacement from {x: 1, y: 1, g: 1, i: 3, j: 1}. 3/35 Four letters picked without replacement from kjuujkzkjkgjjugkkkk. What is prob of picking 2 k and 2 j? 70/969 Calculate prob of picking 1 y and 2 u when three letters picked without replacement from yuuuuyuyyuyuuuyuyyyy. 15/38 Three letters picked without replacement from {n: 5, w: 7}. What is prob of picking 3 w? 7/44 Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {q: 1, x: 1, r: 3, j: 1, p: 1}. 1/21 Three letters picked without replacement from hddukdkcddhuduc. Give prob of picking 1 u and 2 c. 3/455 Two letters picked without replacement from ussurgupuuppsu. Give prob of picking 2 u. 15/91 Two letters picked without replacement from {p: 4, b: 3, x: 3, i: 1}. What is prob of picking 2 b? 3/55 Calculate prob of picking 1 j, 1 s, and 1 e when three letters picked without replacement from sjjrefrrssjsr. 6/143 Two letters picked without replacement from {c: 2, u: 11, e: 5, l: 2}. What is prob of picking 2 u? 11/38 Four letters picked without replacement from {o: 12, j: 3, g: 3}. Give prob of picking 2 o and 2 j. 11/170 What is prob of picking 1 j, 1 v, and 1 s when three letters picked without replacement from svvjvsvkvvsvjkv? 48/455 What is prob of picking 1 l and 1 p when two letters picked without replacement from znninipzlqnlzqnllnil? 1/38 Two letters picked without replacement from {y: 1, p: 3}. What is prob of picking 2 p? 1/2 What is prob of picking 2 l when two letters picked without replacement from {l: 7}? 1 Three letters picked without replacement from {a: 2, o: 3, w: 2, g: 5}. What is prob of picking 1 o, 1 g, and 1 a? 3/22 Three letters picked without replacement from vwvbbbbbvvs. Give prob of picking 1 s and 2 b. 2/33 Two letters picked without replacement from ttltl. What is prob of picking 1 l and 1 t? 3/5 Calculate prob of picking 2 w and 1 r when three letters picked without replacement from {w: 2, r: 6, z: 1, d: 2}. 2/55 Three letters picked without replacement from jjzzjjjjjjz. Give prob of picking 3 j. 56/165 What is prob of picking 1 d and 1 z when two letters picked without replacement from {a: 1, d: 2, z: 6, p: 3, e: 2}? 12/91 What is prob of picking 1 c and 2 a when three letters picked without replacement from {w: 1, c: 2, a: 2, e: 4, n: 1}? 1/60 What is prob of picking 1 x, 1 d, and 1 f when three letters picked without replacement from {m: 1, x: 1, f: 4, i: 1, d: 1}? 1/14 Three letters picked without replacement from mzmzazzmazazazaaz. What is prob of picking 2 a and 1 z? 3/17 What is prob of picking 2 f when two letters picked without replacement from {p: 4, f: 2}? 1/15 Calculate prob of picking 1 l and 1 q when two letters picked without replacement from {q: 2, c: 3, l: 1, s: 6}. 1/33 Three letters picked without replacement from {u: 6, v: 3, j: 1, g: 7}. What is prob of picking 3 v? 1/680 Calculate prob of picking 3 s when three letters picked without replacement from gssgggs. 1/35 Four letters picked without replacement from {s: 1, d: 1, y: 3, m: 4, i: 2, f: 1}. What is prob of picking 1 f, 1 y, 1 s, and 1 i? 2/165 Three letters picked without replacement from sfsifssisf. Give prob of picking 2 f and 1 s. 1/8 Four letters picked without replacement from rqejeeereree. Give prob of picking 1 r, 1 q, and 2 j. 0 Three letters picked without replacement from mmmmmmmmm. What is prob of picking 3 m? 1 Calculate prob of picking 2 n when two letters picked without replacement from ekspzzppppenppk. 0 Calculate prob of picking 2 b when two letters picked without replacement from gnjjiiijbbpnnnj. 1/105 Four letters picked without replacement from {a: 1, i: 4, z: 1, b: 4, g: 1, d: 3}. Give prob of picking 1 a, 1 b, 1 d, and 1 i. 48/1001 What is prob of picking 1 m, 1 e, and 1 o when three letters picked without replacement from emoeoemommmemeoem? 21/85 What is prob of picking 1 v and 1 b when two letters picked without replacement from bbhvhbvhvbhb? 5/22 Calculate prob of picking 1 t and 1 o when two letters picked without replacement from {o: 1, t: 10, h: 9}. 1/19 Calculate prob of picking 1 l and 1 p when two letters picked without replacement from {l: 6, p: 1, h: 11, f: 1, n: 1}. 3/95 Two letters picked without replacement from huhh. Give prob of picking 2 h. 1/2 Two letters picked without replacement from {w: 2, l: 3, f: 3, t: 9}. What is prob of picking 1 f and 1 w? 3/68 What is prob of picking 1 i and 2 s when three letters picked without replacement from risrarzisrrsi? 9/286 Calculate prob of picking 2 e and 1 c when three letters picked without replacement from {e: 2, l: 1, c: 1}. 1/4 What is prob of picking 2 w and 1 i when three letters picked without replacement from wwwyyoiw? 3/28 What is prob of picking 1 u and 1 c when two letters picked without replacement from cuubtmobt? 1/18 What is prob of picking 2 m and 2 b when four letters picked without replacement from mmmmmmbmmmbmmmmmmm? 2/51 Two letters picked without replacement from fqgnr. Give prob of picking 1 g and 1 r. 1/10 Three letters picked without replacement from {d: 1, s: 5, m: 1, b: 1, z: 2}. Give prob of picking 3 s. 1/12 Two letters picked without replacement from {l: 1, q: 3, a: 1}. What is prob of picking 1 a and 1 q? 3/10 Four letters picked without replacement from {l: 1, c: 2, z: 7, q: 5, w: 3}. Give prob of picking 3 w and 1 q. 1/612 Two letters picked without replacement from {g: 4, l: 6}. Give prob of picking 1 g and 1 l. 8/15 Four letters picked without replacement from {q: 10, w: 4}. What is prob of picking 1 q and 3 w? 40/1001 Four letters picked without replacement from {b: 4, u: 2, k: 2, x: 1, i: 1, z: 2}. Give prob of picking 1 u and 3 b. 8/495 Three letters picked without replacement from {s: 4, z: 3, l: 6}. What is prob of picking 3 l? 10/143 Three letters picked without replacement from {s: 1, o: 4, q: 4, a: 3, c: 2, r: 3}. Give prob of picking 1 o and 2 a. 3/170 What is prob of picking 2 t and 1 c when three letters picked without replacement from {c: 6, t: 12, h: 1}? 132/323 Two letters picked without replacement from nnnnnnnnn. What is prob of picking 2 n? 1 Two letters picked without replacement from rdkcmkakrcrmrd. What is prob of picking 1 m and 1 k? 6/91 Two letters picked without replacement from kqsqccqckckkcwk. Give prob of picking 1 q and 1 w. 1/35 Two letters picked without replacement from {w: 7, q: 5}. Give prob of picking 2 w. 7/22 What is prob of picking 1 v, 1 a, and 1 i when three letters picked without replacement from {a: 1, o: 1, i: 10, v: 2, g: 2, r: 3}? 20/969 Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, m: 7}. 1/36 What is prob of picking 1 f and 1 x when two letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
3 - 4*x**2 + 2*x + 3. Let r be i(3). Suppose k + 3*k - r = 0. Calculate the greatest common factor of 18 and k. 9 Let b(s) = -s**2 + 10*s + 9. Let x be b(9). Let m be ((-16)/(-1))/(12/x). What is the greatest common divisor of 60 and m? 12 Suppose 0 = m - 53 - 82. Calculate the greatest common factor of m and 54. 27 Let h(o) = -4*o + 2*o + 7*o**2 + 3*o. Suppose -5*i + 18 = -r, 2*r - 5*i - 4 = -20. Let w be h(r). What is the highest common divisor of 6 and w? 6 Suppose 9*f - 4*f = -j + 19, -5*f + 17 = 3*j. Let d be (-1)/f - 99/(-12). Suppose 8 = o - 0*o. What is the highest common divisor of o and d? 8 Let g be (35 + -3)*(0 + -1). Let c = -7 - g. Suppose l = 5, -3*t + 68 = 2*l + c. Calculate the greatest common factor of t and 22. 11 Let b(o) = o**3 - 9*o**2 + 3*o - 12. Let h be b(9). What is the greatest common divisor of h and 3? 3 Suppose 2*c + 1 = 27. Let m(s) = 2*s + 19. Let j be m(c). Let o = -35 + 53. What is the highest common divisor of o and j? 9 Let r(w) = -12*w - 15. Let k be r(-7). What is the greatest common factor of k and 46? 23 Suppose 41*m - 56 = 37*m. What is the highest common factor of 7 and m? 7 Suppose 4*x + 35 = m, -3*x - m + 6*m - 39 = 0. Let b = 14 + x. Let c(q) = q**2 - 3*q - 3. Let u be c(-3). What is the greatest common divisor of u and b? 3 Suppose j + j - 2 = 0. Suppose -2*t + 4 = 5*c, -5*t - 8 - j = 3*c. Let m be (20/t)/(5/(-15)). What is the greatest common factor of 50 and m? 10 Let y be 1*(-2)/(-2) - -3. Let j(p) = -p**3 + 3*p**2 + 6*p - 5. Let s be j(y). Suppose 0 = -s*n + 6*n - 384. What is the highest common factor of 16 and n? 16 Let z be 10/(-15) - 152/(-12). What is the highest common divisor of z and 96? 12 Let k be -65 + -4 + 2 + -1. Let p = k - -208. Suppose 0 = -5*b - 3*z + 4*z + 96, -2*b = z - 44. Calculate the highest common factor of p and b. 20 Suppose -2*m + 4*u - 9*u - 21 = 0, -3*m = u - 1. Let s(a) = 5*a**2 - 3*a**2 + m*a**3 + a**3 - a. Let l be s(2). What is the highest common divisor of l and 12? 6 Let m(s) = 2*s**2 + s + 1. Let n be m(-1). What is the highest common divisor of 7 and n? 1 Suppose -z = -5*h + 3, -z - 2*h - 3 = -2*z. What is the highest common factor of 21 and z? 7 Let m = 28 + -12. What is the highest common divisor of 48 and m? 16 Let b(d) = -7*d - 1. Let w(u) = -3*u. Let k(v) = 2*b(v) - 5*w(v). Let n be k(6). What is the highest common factor of n and 36? 4 Let r(u) = -u**2 + 8*u - 11. Let i be r(5). Calculate the highest common factor of i and 4. 4 Suppose -5*k = -0*k - 70. Calculate the greatest common factor of k and 28. 14 Let p(c) = -2*c**3 + 11*c**2 + 9*c - 9. Let t be p(6). What is the highest common factor of t and 99? 9 Suppose -1 = 2*m - q, -4*m - 6*q + 3*q + 23 = 0. Suppose 0 = m*h - 3 - 5. What is the greatest common divisor of h and 4? 4 Let i = -14 - -24. Calculate the greatest common divisor of 4 and i. 2 Let k be 4/(-2) + 2 + -7. Let p be (24/7)/((-1)/k). Calculate the highest common factor of p and 12. 12 Let c be (2 - (-4)/(-1)) + 6. Suppose 0 = 2*v - 17 + 1. Let m = -4 + v. What is the greatest common divisor of m and c? 4 Let g = 10 + -8. Let f = 0 + g. Suppose f*y = 5*y - 36. Calculate the greatest common divisor of 4 and y. 4 Suppose -2*g + 12 = -30. Suppose 4*k + 0*k = -12. Let q be (-1 + 2)/(k/(-9)). Calculate the highest common divisor of q and g. 3 Let v = -138 - -196. What is the greatest common factor of 29 and v? 29 Let j(g) = -55*g + 9. Let i be j(7). Let z = 772 + i. Let y be (21/(-9))/((-4)/z). Calculate the highest common divisor of 21 and y. 21 Let b = 9 + 12. Let w = b - 15. Suppose -2*v - 4*k + 89 + 27 = 0, -3*v = -2*k - 206. Calculate the highest common factor of v and w. 6 Let b(o) = -o - 1 - 3*o - 2. Let q be b(-4). Suppose -5*k + 32 = -q. What is the greatest common factor of 27 and k? 9 Let n = -7 + 9. Suppose -2*w - 35 = -5*w + n*f, 4*w - 35 = 5*f. Calculate the highest common factor of 45 and w. 15 Let o be 2*(-3 + 0 - -4). What is the highest common factor of 10 and o? 2 Let v = 154 - 112. What is the greatest common factor of v and 294? 42 Let r be (24/6)/(-3*2/(-93)). What is the highest common factor of 434 and r? 62 Suppose 7*z = 10*z - 138. Calculate the highest common divisor of z and 69. 23 Let z be ((-8)/6)/((-1)/3). Suppose 0 = -3*t + t + 8. Suppose 0 = -5*q + 2*h + 270, -228 = z*q - 8*q + t*h. Calculate the greatest common divisor of 13 and q. 13 Let r(j) = 0*j**2 - 3*j**2 - 1 - 9*j**3 + 3 + 2*j**2 + j. Let v be r(-1). Calculate the greatest common divisor of v and 45. 9 Let x be -5 + (2 - 6/(-1)). Calculate the greatest common factor of x and 4. 1 Suppose 5*d - 169 = -4*q, d - 154 = -4*q - d. Suppose 3*j = 7*j - 16. Calculate the greatest common factor of j and q. 4 Suppose -12 = -2*o + 76. Let y(d) = 2*d**2 - 7. Let h be y(-3). Calculate the highest common factor of h and o. 11 Suppose -2*d = -3*d + 4. What is the highest common divisor of d and 36? 4 Suppose -4*q + 4 + 76 = 0. Let i = -9 + 13. Calculate the greatest common divisor of q and i. 4 Let b be ((-3)/1 - -2)*41. Let w = 91 + b. What is the greatest common factor of w and 20? 10 Let p be (1 - 0)*2/(-1). Let d = p + 8. Calculate the greatest common factor of d and 24. 6 Let w be (42 - -3) + 0/(-1). What is the highest common divisor of w and 5? 5 Let c(f) = f**3 + 15*f**2 - 2*f - 21. Let p be c(-15). Calculate the highest common factor of p and 1. 1 Suppose 168 = 3*h - 138. Let j be 3/(-15) + h/10. What is the greatest common factor of 90 and j? 10 Let y(r) = 23*r**2 - r + 1. Let c be y(1). Let z = c + -36. Let q = z + 94. What is the highest common factor of 9 and q? 9 Suppose 88 = 12*y - 8. Calculate the greatest common factor of y and 8. 8 Suppose -5*l + 0*n = -2*n - 440, 4*l + 4*n - 352 = 0. Suppose 2*g + j - 27 = 0, 2*g - 5*j = -2*j + 7. Calculate the highest common divisor of l and g. 11 Let w = -7 - -8. Let k(i) = 3*i + 2. Let x be k(w). Calculate the greatest common factor of 15 and x. 5 Let v(u) = 7*u - 3. Let q be v(4). Let g = -15 + q. Let x = 310 + -220. Calculate the highest common factor of g and x. 10 Let k = 36 - -212. Let z = k + -140. What is the greatest common divisor of z and 27? 27 Let w(k) = 3*k - 12. Let j be w(8). Let f = 7 + -4. Calculate the highest common factor of f and j. 3 Suppose 4*j - 123 + 23 = 0. Let b(m) = -14*m - 4. Let z be b(-1). What is the highest common factor of z and j? 5 Suppose 84 + 105 = 3*p - h, -315 = -5*p + 2*h. What is the greatest common factor of 42 and p? 21 Let s(r) = -r + 5. Let x be s(5). Suppose d + 0 = -2*c + 8, x = 5*d + 5*c - 60. Let p = 51 - 19. What is the highest common factor of p and d? 16 Let v(m) = -m**2 - 6*m - 4. Let u be v(-4). Suppose -p = -u*x - 73, -52 = -p - x + 31. Calculate the highest common divisor of p and 9. 9 Let f be (12/7)/((-2)/(-7)). Calculate the greatest common factor of f and 6. 6 Let p = 109 - 97. Calculate the greatest common factor of 18 and p. 6 Suppose -8*k + 11 = -37. Let w be (-1)/((-2)/(-4)) - -50. What is the highest common divisor of w and k? 6 Let n(t) = t**2 + 4*t - 32. Let u be n(-14). Let s(i) = -i**3 - 3*i**2 - 4. Let g be s(-4). Calculate the highest common factor of g and u. 12 Let v be (-289)/(-4) - (-2)/(-8). Let y(a) = -4*a**2 + 4*a + 4. Let q be y(-3). Let i be q/(-4) + (0 - 2). What is the greatest common divisor of v and i? 9 Let i be 16/7 - (-4)/(-14). Let w be 5 + 0*i/4. Suppose 0 = q - w, -m - 39 = -4*m + 3*q. What is the greatest common factor of m and 162? 18 Suppose -5*m + m + 20 = 0. Suppose 0 = 5*d - 3*b - 25, -m*d + 2*d + 29 = b. Calculate the highest common factor of 16 and d. 8 Let r be (-5)/10 + 21/2. Calculate the highest common divisor of r and 50. 10 Suppose 0 = 3*k + 5*f - 4, -3*k - 3*f = -k - 4. Let u = 28 + k. What is the highest common factor of 12 and u? 12 Let y(m) = -m**3 - 19*m**2 + 18*m + 41. Let v be y(-20). What is the highest common divisor of v and 135? 27 Let n = -7 + 23. Let g be -40*(-2 - (-1 + 0)). Calculate the greatest common factor of n and g. 8 Let j(z) = z**3 + 9*z**2 + 9*z + 6. Let y be j(-7). Suppose -4*x - 12 = -0*x, -4*v = x - y. Let i = -10 + 54. What is the greatest common divisor of i and v? 11 Suppose -3*r + 4*d = -136, -3*d = 5*r - 117 - 129. Let f = 60 - 28. Calculate the highest common divisor of r
{ "pile_set_name": "DM Mathematics" }
e o(50). -1 Let t(u) = -2*u**3 + 35*u**2 - 138*u + 274. What is t(13)? 1 Let c(n) = -99*n + 5238. Give c(53). -9 Let l(o) = -3*o**3 + 3*o**2 - 6*o + 14. What is l(3)? -58 Let z(w) = 12*w**3 + 98*w**2 + 11*w - 7. Give z(-8). 33 Let j(d) = -d**2 - 57*d + 816. Calculate j(-59). 698 Let w(x) = 966*x - 8748. Determine w(9). -54 Let t(u) = -2*u**2 + 55*u - 32. Give t(27). -5 Let p(d) = -5*d**2 - 137*d - 57. Give p(-27). -3 Let n(m) = 23*m**2 - 2*m + 1. What is n(1)? 22 Let y(r) = 12*r + 1524. Determine y(-125). 24 Let x(r) = 300*r - 9904. What is x(33)? -4 Let j(r) = 20*r**2 + 44*r - 86. Calculate j(-3). -38 Let v(h) = 71*h - 337. Calculate v(12). 515 Let q(o) = -16*o**3 + 288*o**2 - 18*o + 308. Give q(18). -16 Let f(w) = -786*w - 794. Calculate f(-1). -8 Let t(q) = 29*q**3 + 2*q**2 - 4*q - 4. Give t(-2). -220 Let l(f) = 107*f - 2. Give l(1). 105 Let d(q) = -9*q + 198. Determine d(23). -9 Let k(u) = -8*u**3 + 3*u**2 - 66*u + 130. What is k(2)? -54 Let v(r) = -17*r**2 + 64*r - 35. Determine v(3). 4 Let l(p) = p**3 + 4*p**2 - 3*p - 9. Give l(4). 107 Let o(r) = 2*r**2 + 19*r - 21. Calculate o(-10). -11 Let i(x) = -11*x + 24. Determine i(0). 24 Let i(p) = -55*p + 2563. What is i(47)? -22 Let t(l) = -6*l**3 - 5*l**2 + 16*l - 26. Give t(6). -1406 Let x(d) = -349*d - 3593. Determine x(-10). -103 Let c(p) = -4*p**3 + 63*p**2 + 4*p - 11. Calculate c(16). -203 Let s(h) = 301*h - 2711. Determine s(9). -2 Let v(o) = o**3 + 24*o**2 + 29*o - 302. What is v(-22)? 28 Let m(v) = v**3 + 5*v**2 - 8*v - 10. Calculate m(-6). 2 Let w(x) = -39*x - 634. What is w(-17)? 29 Let d(w) = -69*w**2 - 8*w. What is d(-2)? -260 Let v(p) = 2*p**3 - 50*p**2 - 38*p - 357. Give v(26). 7 Let c(g) = -2*g**3 - 182*g**2 - 179*g + 67. Calculate c(-90). -23 Let u(r) = 15*r**2 + 176*r - 68. Calculate u(-12). -20 Let h(m) = 2*m**2 + 16. Calculate h(-5). 66 Let i(c) = -18*c**2 - 189*c + 191. Determine i(1). -16 Let g(v) = v**3 - 5*v**2 - 18*v - 13. Calculate g(8). 35 Let a(j) = -j**3 + 12*j**2 - 27*j - 42. Determine a(6). 12 Let v(w) = -5*w**2 + 65*w - 39. Determine v(12). 21 Let s(q) = 2*q**2 - 25797*q + 128943. Calculate s(5). 8 Let c(q) = 31*q - 932. Give c(30). -2 Let v(x) = -39*x - 342. Give v(-15). 243 Let q(a) = -2*a**2 + 28*a - 87. What is q(6)? 9 Let f(w) = -2*w**3 - 40*w**2 + 29*w + 613. What is f(-20)? 33 Let v(k) = -1005*k + 2013. Determine v(2). 3 Let d(w) = w**3 + 83*w**2 - 77*w + 520. Give d(-84). -68 Let k(d) = -25*d**2 + 7*d + 10. Give k(-2). -104 Let d(u) = 11*u - 113. Calculate d(8). -25 Let b(f) = -9*f + 6. What is b(3)? -21 Let l(j) = -j**3 - 15*j**2 + 42*j + 22. Determine l(3). -14 Let w(s) = -6899*s - 34499. Determine w(-5). -4 Let x(b) = -b**3 + 18*b**2 - 39*b + 229. What is x(17)? -145 Let u(q) = q**2 - 27*q + 12. Determine u(19). -140 Let n(z) = 896*z + 822. What is n(-1)? -74 Let i(n) = n**2 + 32*n + 140. Calculate i(-28). 28 Let r(x) = 59*x + 307. Determine r(-10). -283 Let k(b) = 26*b**2 - 2605*b + 507. Give k(100). 7 Let i(r) = 25*r**3 - 2*r**2 + 12*r + 13. Calculate i(-1). -26 Let q(b) = -2*b**3 + 42*b**2 + 91*b + 68. Determine q(23). 45 Let r(x) = x**3 - 53*x**2 - 230*x + 26. Calculate r(57). -88 Let k(m) = -110*m**2 + 802*m - 22. Determine k(7). 202 Let x(h) = h**3 + 68*h**2 + 1139*h - 60. Calculate x(-30). -30 Let q(g) = 17*g - 109. Calculate q(-2). -143 Let a(c) = 2*c**3 + 4*c**2 - 39*c - 10. Give a(4). 26 Let z(v) = 5*v**2 - 820*v - 11. Determine z(164). -11 Let a(q) = 90*q + 127. Calculate a(9). 937 Let c(m) = 948*m + 327065. Calculate c(-345). 5 Let t(j) = -475*j - 3755. Determine t(-8). 45 Let o(k) = 813*k + 2520. Determine o(-3). 81 Let o(r) = -r**3 + 9*r**2 + 33*r - 29. What is o(13)? -276 Let q(x) = -11*x**2 - 255*x - 39. Give q(-23). 7 Let g(c) = 2*c**2 - 230*c + 4526. Give g(89). -102 Let d(r) = -2*r**2 - 253*r - 128. Determine d(-126). -2 Let w(i) = i**2 + 23*i - 115. Calculate w(4). -7 Let c(h) = -26*h - 137. Determine c(-11). 149 Let s(z) = -z**3 - 18*z**2 + 22*z + 59. Calculate s(-19). 2 Let x(j) = -5*j**2 - 45*j - 92. Give x(-2). -22 Let o(w) = -2*w**2 + 345*w + 9865. Give o(-25). -10 Let x(l) = -2*l**3 - 3*l**2 - 29*l - 121. Calculate x(-3). -7 Let h(l) = l**2 - 119*l - 7166. Give h(163). 6 Let m(g) = -7*g**2 - 300*g - 101. What is m(-43)? -144 Let y(a) = -3*a**2 + 33*a + 110. Determine y(16). -130 Let k(a) = a**3 - 39*a**2 - 6*a + 163. Determine k(39). -71 Let h(n) = -n**3 - 36*n**2 + 520*n + 149. Calculate h(-47). 8 Let r(s) = s**3 - 15*s**2 + 21*s + 32. Calculate r(10). -258 Let k(a) = 9*a**2 - 174*a + 4. Determine k(19). -53 Let u(t) = 2*t**3 - 2*t**2 - 13*t + 1. What is u(4)? 45 Let k(i) = i**3 + i**2 - 4*i + 20. Give k(-4). -12 Let v(k) = 109*k + 10149. Calculate v(-93). 12 Let b(u) = -68*u + 2394. Calculate b(35). 14 Let q(z) = -56*z + 1067. Determine q(19). 3 Let v(t) = -1501*t - 19504. What is v(-13)? 9 Let o(r) = 1580*r - 18962. Determine o(12). -2 Let x(b) = b**3 - 9*b**2 + b + 29. Calculate x(11). 282 Let s(z) = 98*z + 24297. Give s(-248). -7 Let r(x) = 5*x**2 - 35*x + 3. Determine r(7). 3 Let c(b) = b**3 - 26*b**2 - 146*b + 4660. Determine c(24). 4 Let a(h) = -h + 16. Calculate a(19). -3 Let d(j) = -144*j + 861. What is d(7)? -147 Let i(z) = 54*z**2 + 641*z - 87. Calculate i(-12). -3 Let f(t) = -5*t**2 + 37*t + 30. Give f(8). 6 Let u(l) = l**2 - l - 23. What is u(0)? -23 Let u(s) = -2*s**3 + 13*s**2 + 38*s - 10. What is u(11)? -681 Let c(z) = z**2 + 17*z - 163. What is c(7)? 5 Let q(g) = g**3 + 40*g**2 - 15*g - 617. Give q(-40). -17 Let c(l) = -4*l**3 - 46*l**2 - 59*l + 4. What is c(-10)? -6 Let g(j) = -12*j + 496. Calculate g(41). 4 Let m(s) = -s**3 - 18*s**2 - 42*s + 48. Determine m(-17). 473 Let u(f) = -f**3 - 67*f**2 - 315*f - 117. What is u(-62)? 193 Let p(a) = -204*a + 607. Calculate p(3). -5 Let t(h) = -25*h + 161. Give t(-6). 311 Let l(z) = -128*z - 3065. Give l(-24). 7 Let z(v) = v**2 + 2969*v + 11886. What is z(-4)? 26 Let s(u) = -u**2 - u + 1218. Give s(-35). 28 Let f(w) = 883*w - 9741. Calculate f(11). -28 Let w(n) = -n**3 - 25*n**2 + 10*n - 415. Determine w(-26). 1 Let g(t) = 548*t + 456. Determine g(-3). -1188 Let l(b) = 320*b + 2550. Determine l(-8). -10 Let p(x) = x**3 + 3*x**2 - 7*x + 3. Give p(-5). -12 Let c(w) = w**3 + 47*w**2 - 8*w - 388. Give c(-47). -12 Let j(x) = -235*x + 2362. What is j(10)? 12 Let d(f) = 451*f + 14440. Calculate d(-32). 8 Let y(x) = x**2 - 973*x + 2919. Give y(3). 9 Let q(i) = i**3 - 124*i**2 + 921*i + 813. Calculate q(116). 1 Let j(p) = -p**2 - 462*p - 1. What is j(0)? -1 Let m(r) = -r**3 - 21*r**2 + 28*r + 98. Calculate m(-22). -34 Let l(f) = 2*f**3 + f**2 + 4*f - 202. Give l(0). -202 Let c(v) = -407*v + 85880. What is c(211)? 3 Let o(j) = -314*j - 13537. Determine o(-43). -35 Let w(f) = -f**3 - 8*f**2 + 152*f - 25. Determine w(-17). -8 Let r(c) = -45*c + 844. Calculate r(19). -11 Let g(j) = 275*j**2 - 4125*j. Give g(15). 0 Let v(m) = -28*m + 1266. Calculate v(42). 90 Let b(j) = -339*j + 24077. Give b(71). 8 Let x(v) = -43*v + 6533. Determine x(152). -3 Let v(u) = -1668*u + 9999. Determine v(6). -9 Let q(m) = -m**2 - 46*m - 413. What is q(-21)? 112 Let y(z) = -z**2 - 796*z + 7248. What is y(9)? 3 Let b(j) = 6*j**3 - j**2 - 3*j + 35. What is b(0)? 35 Let c(n) = n**2 + 73*n + 125. Determine c(-71). -17 Let i(w) = w**3 + 64*w**2 + 72*w + 580. Determine i(-63). 13 Let a(f) = f**2 + 84*f + 1079. Determine a(-68). -9 Let d(l) = -l**3 + 56*l**2 - 589*l - 13. Determine d(42). -55 Let i(o) = -o**3 - 21*o**2 - 35*o + 36. What is i(-15)? -789 Let g(t) = t**3 + 13*t**2 + 23*t + 2. Determine g(-11). -9 Let o(l) = -6*l**2 + 45*l - 50. Determine o(6). 4 Let s(n) = -n**3 + 5*n**2 + 37*n + 27. Calculate s(9). 36 Let d(w) = 9*w - 14. Calculate d(-16). -158 Let k(m) = -4*m**3 + 9*m**2 + 20*m - 47. Calculate k(3). -14 Let k(m) = -2*m**2 + 12*m - 78. Determine k(5). -68 Let w(p) = 3*p**2 + 6*p - 287. Calculate w(-12). 73 Let l(v) = 306*v - 1336. Give l(5). 194 Let f(p) = -p**3 + 21*p**2 - 7*p + 26. Give f(21). -121 Let s(a) = -524*a + 14694. Give s(28). 22 Let u(c) = -5*c**2 + 699*c - 552. Give u(139). 4 Let b(g) = 10*g**2 - 149*g + 21. Give b(15). 36 Let c(d) = -d**3 + 41*d**2 + 24*d + 794. Determine c(42). 38 Let w(p) = -p**3 + 29*p**2 - 52*p - 53. Give w(27). 1 Let k(m) = -m**2 + 6*m - 26. Determine k(3
{ "pile_set_name": "DM Mathematics" }
136 - 54. What is the remainder when z is divided by p? 26 Let s = 5 + -8. Let g = -23 + 5. What is the remainder when -3*s/g*-194 is divided by 33? 31 Suppose 0*b = 5*b + 5*a - 415, b = 5*a + 107. Calculate the remainder when b is divided by 46. 41 Let g = 32 + 37. Suppose -3*o - 3 = 0, o = 2*y + 3*o + 128. What is the remainder when g is divided by (-21)/y + 142/6? 21 Let b(r) = r**3 + 20*r**2 - 2*r - 4. Let u be b(-20). What is the remainder when 46 is divided by u/(-5)*120/(-36)? 22 Let y be (-3)/(3 + 45/(-10)). What is the remainder when (y + 1)*16/6 is divided by 3? 2 Let s = 37 + -21. What is the remainder when 76 is divided by s? 12 Suppose 4*h - u - 2 = 3, 2*u + 1 = -h. Let c(g) = 6 - 8*g - 3 + h - g**2. What is the remainder when 30 is divided by c(-6)? 14 Suppose -3*o = -2*i - 20 - 81, i - 72 = -2*o. Calculate the remainder when 101 is divided by o. 31 Calculate the remainder when 13 - (-13125)/45 - (-4)/3 is divided by 11. 9 Suppose -l - 2*l - 384 = 0. Let g = l + 188. Let k = 15 + g. What is the remainder when k is divided by 26? 23 Let h = -10 + 5. Let n(x) = 2*x**3 - 4*x**2 - 5*x - 2. Calculate the remainder when n(4) is divided by (-2 - -1)*3*h. 12 Suppose 2*y - 300 = -2*y. Let j = -40 + y. Let s = j + -24. Calculate the remainder when 42 is divided by s. 9 Let q(b) = -b + 2. Suppose -17 = -10*i + 3. What is the remainder when i/((-10)/(-15)) + 8 is divided by q(-4)? 5 Let n(c) = 2*c**2 + 2*c - 3. Let h be 2/((-8)/4)*0. Suppose h*m = 5*m - 95. Calculate the remainder when n(4) is divided by m. 18 Let h = 7 + 77. Suppose -2*z + 84 = 2*p, -13 = -2*p - 5*z + 68. Calculate the remainder when h is divided by p. 41 Suppose 0 = -2*r - 0*r + 4. Suppose -2*f + 0*f - t + 46 = 0, 0 = 2*f - t - 42. Calculate the remainder when f is divided by (-66)/(-8) - r/8. 6 Let p(u) = -2*u + 2. Let b be p(-4). Suppose 0*c - 160 = -4*f + c, 40 = f - 5*c. Calculate the remainder when f is divided by 4/4 - b*-2. 19 Suppose 6*z = 1471 + 1151. Calculate the remainder when z is divided by 22. 19 Let m = -74 + 77. Let c be (-1)/((-1)/(-10)*-2). Let g = c + m. What is the remainder when 12 is divided by g? 4 Suppose -20*q + 16*q + 64 = 0. Suppose -6*f + 346 = q. What is the remainder when f is divided by 19? 17 Let s(r) = -r**2 + 7*r - 1. Let i be s(6). Suppose i*n = 198 + 52. What is the remainder when n is divided by 18? 14 Let a = -19 - -198. Suppose 35 - a = -3*x. Suppose -3*i = -x - 3. Calculate the remainder when 32 is divided by i. 15 Suppose -4*l - 5*q + 120 = 0, -3*l + 60 = -l - 4*q. What is the remainder when 82 is divided by l? 22 Let t(a) = -2*a - 18. Calculate the remainder when 590 is divided by t(-20). 18 Let m(j) = j**3 - 9*j**2 + 6*j + 5. Let a be m(8). Let q(z) = z**2 + 10*z + 15. Calculate the remainder when q(a) is divided by 14. 12 Let g(l) = l**3 + 13*l**2 + 11*l + 14. What is the remainder when g(-9) is divided by 61? 56 Suppose 3*o + 54 = 6*o. Suppose 15*p + p = 1408. What is the remainder when p is divided by o? 16 Suppose 5*c = -2*i - i + 429, -411 = -5*c + 3*i. Calculate the remainder when c is divided by 8. 4 Let u(r) = -r**3 + 5*r**2 + 7*r + 7. Suppose 11*z - 8*z = 6. Calculate the remainder when u(6) is divided by 3/(-6)*(0 + (-16)/z). 1 Suppose 129 - 100 = 3*b + 5*h, -4*b = -3*h. Calculate the remainder when 9 is divided by b. 0 Let d(b) = 7*b**2 + 40*b + 40. Let w(a) = 57*a**2 + a + 1. Calculate the remainder when w(-1) is divided by d(-5). 12 Suppose -100*l = -108*l + 1040. What is the remainder when l is divided by 40? 10 What is the remainder when 166 is divided by (-47)/(329/(-140))*(-1 - -3)? 6 Let g(u) = u**3 - 5*u**2 - 12*u - 11. Let w be g(7). Suppose -q - w = p - 16, 3*q = 5*p - 57. Calculate the remainder when 22 is divided by p. 10 Suppose 0 = -3*m - 3*m + 30. Let z = 41 + m. What is the remainder when z is divided by 13? 7 Suppose 279*w - 275*w = 188. Calculate the remainder when 177 is divided by w. 36 Suppose 57 = d + 2*t, d - 16 = -5*t + 56. Calculate the remainder when d is divided by 9. 2 Suppose v - 3*v + 3*x + 190 = 0, -5*x + 285 = 3*v. What is the remainder when v is divided by 37? 21 Let s be (-1 + 174/(-4))/(1/(-2)). Suppose -125 = -a - c, a - 31 - s = -2*c. Calculate the remainder when a is divided by 33. 31 Suppose 3*o = -4*r + 82, 5*o - 48 = r - 3*r. Suppose -456 = -r*w + 7*w. Calculate the remainder when w is divided by 23. 15 Let m = -503 - -517. Calculate the remainder when 52 is divided by m. 10 Suppose -620 - 280 = -20*b. What is the remainder when 127 is divided by b? 37 Let g = -454 - -458. What is the remainder when 10 is divided by g? 2 Let q = -13 - -41. Let b be -2 + (-5)/((-2)/2). Let o = q - b. Calculate the remainder when 49 is divided by o. 24 What is the remainder when 17 is divided by 7 + (-14*(-4)/(-8) - -2)? 1 Let p(n) = -n**3 - 12*n**2 - 12*n - 11. Let v be p(-11). Suppose v = 9*y - 764 + 17. What is the remainder when y is divided by 22? 17 Suppose -2*g + 69 + 15 = -5*x, 2*x = g - 42. What is the remainder when 103 is divided by g? 19 Let x = -99 + 110. Suppose -2*w = 3*n + 65 + 27, 5*n = -4*w - 180. Let t = 81 + w. What is the remainder when t is divided by x? 8 Let k(l) = -6*l**2 - 24*l + 21. Calculate the remainder when 36 is divided by k(-4). 15 Suppose 5*d - 27 = 23. Calculate the remainder when 47 is divided by d. 7 What is the remainder when 299 is divided by 2 - (2620/(-45) - (-2)/9)? 59 Let q(v) = -v**3 + 7*v - 5. Let x be (-2)/(-5) - (-44)/(-10). What is the remainder when 60 is divided by q(x)? 29 Let n(g) = 4*g**2 - 2*g - 7. Calculate the remainder when n(3) is divided by (2 - -1)/1*4. 11 Suppose -12*s - 10 = -442. What is the remainder when 179 is divided by s? 35 Let b = 128 - 128. Suppose b = 5*d - 26 + 1. Calculate the remainder when 16 is divided by d. 1 Let l = -1242 - -1265. Let t(k) = -9*k**3 - k**2 - 3*k - 2. Let q be t(-2). Suppose 0 = 5*f - q + 12. Calculate the remainder when l is divided by f. 11 Let y be 20 + -1*(-4 - -1). Suppose -7 = 4*h - y. Suppose 34 = 5*a - 4*r, 0*a - 2 = -a + 2*r. What is the remainder when a is divided by h? 2 Suppose -176 = c - 12*c. Let k be -16*(-1)/6*3. What is the remainder when (3 - 1/(-2))*k is divided by c? 12 Suppose 0 = s - 0*s - 14. Let u = 19 - -34. Calculate the remainder when u is divided by s. 11 Suppose 0 = 23*h - 6*h - 459. Calculate the remainder when 512 is divided by h. 26 Suppose -3*u - 17 = 4. Let k = u + 13. Let p = 0 + k. What is the remainder when 22 is divided by p? 4 Let b(o) be the second derivative of o**4/3 + o**3/2 + 3*o**2 + 26*o. Let w = 19 - -58. Calculate the remainder when w is divided by b(-2). 13 Suppose -2*k + 2*r - 5*r - 164 = 0, -r = -4*k - 300. Let l = k + 118. Suppose -5*b + 3*b = -l. Calculate the remainder when b is divided by 6. 3 Let x(d) = 5*d + 2 - 2 - 7 + 6. What is the remainder when 9 is divided by x(1)? 1 Let f(q) = -q**2 - 25*q - 20. Suppose 4*j + 41 + 51 = 0. Let a(m) = m**3 - 6*m**2 - 2*m - 11. Calculate the remainder when a(8) is divided by f(j). 23 Let v be 6*23 + -3 + 0. Let n = 58 + v. Suppose -4*d - 4*r - 9 + 173 = 0, -5*d = -r - n. Calculate the remainder when d is divided by 10. 9 Suppose 3*j - 4*h - 113 = 0, 2*j + 63 = 3*j + 5*h. What is the remainder when j is divided by 7? 1 Suppose 0 = -m + 5*g + 31, 0*g - 6 = -3*g. What is the remainder when 450 is divided by m? 40 Let p = 1284 - 1220. What is the remainder when 574 is divided by p? 62 Let f = -716 - -736. Calculate the remainder when 101 is divided by f. 1 Let t = 16 - 11. Let s = 1844 + -1832. Calculate the remainder when s is divided by t. 2 Let z(y) = -y**3 - 7*y**2 + 6*y - 17. Let d be z(-8). Let m(f) = 57*f**2 - 2*f - 2. Calculate the remainder when m(d) is divided by 12. 9 Let d(t) = 5*t**2 - 78*t + 26. Calculate the remainder when d(24) is divided by 45. 44 Calculate the remainder when 195 is divided by (-8)/(-2) - 18/((-324)/630). 0 Let m be 5/((-3)/(-2)*(-10)/15). What is the remainder when ((-186)/m)/((-81)/(-15) + -5) is divided by 16? 13 Let o(c) = 48*c**2 + 9*c. Suppose -41 = -2*r + 5*q, -r - q + 2 = -1. Calculate the remainder when o(-1) is divided by r. 7 Suppose 0 = 3*d - 5*b - 132, 5*d + 4*b = 17 + 240. Calculate the remainder when 536 is divided by d. 46 Let h(v) = 9*v**2 - 16*v - 40. Let z(g
{ "pile_set_name": "DM Mathematics" }
y(a) = -a**3 - 38*a**2 + 37*a - 47. Give y(-39). 31 Let a(n) = -2*n**2 - n - 8. Calculate a(0). -8 Let m(l) = l**3 + 2. What is m(-2)? -6 Let r(m) = 9*m - 1. Determine r(-1). -10 Let m(h) = -h + 21. What is m(23)? -2 Let i(j) = -4*j - 14. What is i(-12)? 34 Let y(s) = s - 6. Determine y(14). 8 Let f(c) = 9*c - 12. Determine f(4). 24 Let g(p) = -p**3 - 3*p**2 + p. Give g(-5). 45 Let n(h) = 2*h**2 + 57*h + 90. What is n(-27)? 9 Let v(r) = r**3 - 6*r**2 - 38*r - 24. Calculate v(10). -4 Let d(m) = -5*m. Calculate d(1). -5 Let s(w) = 2*w**2 + 20*w + 4. What is s(-9)? -14 Let t(n) = n + 79. Determine t(-28). 51 Let u(q) = 3*q**3 - 31*q**2 + 10*q - 3. Determine u(10). -3 Let f(m) = m**3 - 7*m**2 - 11*m + 14. What is f(8)? -10 Let o(p) = p**2 - 5*p - 5. What is o(4)? -9 Let x(v) = v**3 + 3*v**2 + 3*v - 3. Determine x(-3). -12 Let m(d) = -d**2 - 10*d + 3. Calculate m(-7). 24 Let r(v) = 2*v**2 - 10*v + 4. Give r(4). -4 Let z(o) = -41*o**3 + 2*o**2 + o. What is z(-1)? 42 Let z(m) = -4*m**2 - m + 3. What is z(-3)? -30 Let k(w) = w - 13. Determine k(10). -3 Let z(i) = 6*i + 218. Determine z(-38). -10 Let n(y) = 6*y**3 - 6*y**2 + 3*y - 3. Give n(2). 27 Let j(n) = -27*n**2 - 7*n + 8. Determine j(1). -26 Let d(l) = -l**3 - 8*l**2 + 21*l + 24. Calculate d(-10). 14 Let p(v) = -6*v**2 + 2*v + 49. Give p(-3). -11 Let z(x) = -x**3 - 17*x**2 - 17*x - 24. Determine z(-16). -8 Let b(t) = t**3 - 9*t**2 + 16*t + 7. Calculate b(5). -13 Let d(i) = -i**3 + 2*i - 8. What is d(-3)? 13 Let k(m) = -2*m**2 - 36*m - 9. Determine k(-17). 25 Let b(r) = 2*r**2 - 31*r + 18. What is b(15)? 3 Let o(s) = s**3 + 14*s**2 + 3*s + 33. Determine o(-14). -9 Let r(o) = -2*o**2 + 7*o + 22. Give r(8). -50 Let l(j) = -15*j - 214. Calculate l(-15). 11 Let u(c) = c**2 - 7*c - 3. Give u(-4). 41 Let p(t) = -t**3 + 5*t**2 + 8*t + 4. Determine p(7). -38 Let c(b) = b**3 - 7*b**2 + 2*b - 4. Give c(6). -28 Let d(u) = -2*u**2 - 29*u. Calculate d(0). 0 Let l(f) = -f**3 - 5*f**2 + 87*f - 2. What is l(7)? 19 Let u(t) = -2*t**3 + 6*t**2 - 3*t. Calculate u(2). 2 Let n(m) = -m**2 + 15*m - 13. Determine n(5). 37 Let p(s) = s**2 + s - 32. Give p(5). -2 Let t(k) = -72*k**2 + 362*k - 3. Give t(5). 7 Let f(l) = -2*l**2 - 43*l - 67. Give f(-20). -7 Let c(m) = -3*m**2 - 7*m. Give c(-3). -6 Let g(h) = -h**3 - h**2 - 2*h - 4. Give g(-2). 4 Let d(i) = -i**3 - 7*i**2 - 5*i - 6. Give d(-6). -12 Let i(l) = l**3 - 5*l**2 - 7*l + 5. What is i(5)? -30 Let b(q) = -q - 28. What is b(-12)? -16 Let r(z) = z + 16. Determine r(-15). 1 Let j(w) = -3*w + 34. What is j(10)? 4 Let j(h) = -35*h**2 + 5*h - 5. Give j(1). -35 Let h(r) = r**3 + 23*r**2 - 49*r - 4. Calculate h(-25). -29 Let z(s) = -42*s - 5. Determine z(-4). 163 Let i(j) = -j**3 + 5*j**2 - 3*j - 4. Give i(4). 0 Let a(b) = -2*b - 38. What is a(-19)? 0 Let s(i) = -i**2 - 10*i + 8. Calculate s(-8). 24 Let b(i) = 3*i - 14. Give b(-18). -68 Let p(i) = 9*i - 8. Give p(10). 82 Let s(v) = -18*v - 47. Determine s(-3). 7 Let v(b) = 24*b**2 + 3*b. Calculate v(-2). 90 Let l(y) = -4*y - 48. Calculate l(-11). -4 Let u(n) = -34*n**2. What is u(-1)? -34 Let a(c) = -3*c - 6. Calculate a(8). -30 Let g(r) = -14*r**2 + 2*r + 7. Determine g(-3). -125 Let c(x) = -4*x - 3. Calculate c(6). -27 Let z(x) = 12*x + 2. Determine z(-3). -34 Let p(b) = 23*b + 625. Give p(-27). 4 Let s(m) = -4*m**2 - 12*m - 6. Determine s(-7). -118 Let c(m) = m**3 - 9*m**2 + 10*m + 2. Calculate c(7). -26 Let v(m) = -m**2 + 14*m + 12. Determine v(15). -3 Let b(w) = w**2 - 11*w + 18. What is b(8)? -6 Let w(f) = 2*f - 11. Determine w(6). 1 Let x(f) = -2*f**2 - 35*f - 13. Give x(-12). 119 Let c(k) = 33*k**2 + 2*k - 2. Calculate c(-2). 126 Let m(x) = 11*x + 17. Calculate m(5). 72 Let x(p) = p**3 + 6*p**2 - 7*p - 17. What is x(-7)? -17 Let q(t) = -2*t**2 - 2*t + 7. What is q(5)? -53 Let a(j) = -j**2 + 58*j + 128. Give a(60). 8 Let y(s) = 3*s**2 + 8*s - 6. Determine y(-4). 10 Let m(o) = -o - 28. Calculate m(0). -28 Let f(s) = 3*s**2 + 28*s + 2. Calculate f(-9). -7 Let h(w) = 7*w - 45. Calculate h(13). 46 Let j(f) = -f**2 + 7*f + 13. Give j(8). 5 Let w(g) = -g**2 - 11*g + 26. Determine w(-13). 0 Let q(o) = -3*o + 1. What is q(1)? -2 Let k(x) = -x**2 - 13*x - 16. Calculate k(-8). 24 Let l(w) = -3*w**3 - 80*w**2 + 25*w - 64. Calculate l(-27). -10 Let p(h) = h**2 + 2*h - 12. Determine p(-3). -9 Let i(l) = l - 5. What is i(2)? -3 Let k(s) = 22*s + 206. Calculate k(-10). -14 Let g(o) = -o**3 - 2*o**2 + 6. Determine g(0). 6 Let b(y) = 4*y**2 + 73*y + 13. Determine b(-18). -5 Let r(b) = -b**2 + 13*b + 31. Determine r(13). 31 Let j(v) = -v**3 + 12*v**2 - 13*v + 33. Calculate j(11). 11 Let n(q) = -5*q + 2. Give n(1). -3 Let v(y) = 43*y - 258. Determine v(6). 0 Let b(g) = 3*g**2 + 4*g. Determine b(3). 39 Let p(l) = 2*l + 36. Give p(12). 60 Let r(l) = -2*l**2 - 13*l + 64. Calculate r(4). -20 Let b(x) = 2*x**2 + 23*x. Calculate b(-12). 12 Let y(w) = -4*w**2 - 15*w + 8. Give y(-9). -181 Let g(w) = 4*w**2 - 2*w + 1. Determine g(1). 3 Let p(w) = -w**2 - 2*w - 1. Calculate p(-5). -16 Let s(w) = 8*w - 122. Calculate s(14). -10 Let g(f) = -3*f - 70. Give g(32). -166 Let q(v) = 8*v + 43. Calculate q(-5). 3 Let a(x) = x**2 - 16*x - 97. Calculate a(21). 8 Let p(o) = -2*o**2 + 12*o - 15. Give p(6). -15 Let n(q) = q**2 + 26*q + 171. Give n(-15). 6 Let h(u) = -u**3 - 9*u**2 + 6*u - 38. Determine h(-10). 2 Let a(f) = -f**3 - 3*f**2 - 6. Give a(-3). -6 Let t(r) = -2*r**3 - r**2 + 3*r - 4. Give t(-4). 96 Let q(x) = -7*x**2 + 82*x + 19. What is q(12)? -5 Let u(s) = s**3 + 8*s**2 + 9*s + 3. What is u(-7)? -11 Let v(w) = -38*w + 223. Determine v(6). -5 Let j(y) = -2*y**2 - 4*y - 5. Give j(4). -53 Let h(j) = -4*j + 15. What is h(8)? -17 Let l(q) = 4*q + 115. Give l(-33). -17 Let f(q) = 3*q - 20. Calculate f(5). -5 Let r(w) = -4*w**2 + 2*w + 5. What is r(-1)? -1 Let x(y) = -y**3 - 7*y**2 + 7. What is x(-7)? 7 Let s(o) = o**3 - 12*o**2 + 10*o + 9. Calculate s(12). 129 Let j(v) = -v + 8. Determine j(5). 3 Let o(t) = t**3 - 5*t**2 - 2*t - 5. What is o(7)? 79 Let r(w) = w**3 - 5*w**2 - 22*w - 14. What is r(8)? 2 Let u(r) = -2*r**2 + 23*r - 34. What is u(10)? -4 Let g(s) = -3*s - 8. Calculate g(2). -14 Let d(m) = m**2 + 17*m + 62. Determine d(-7). -8 Let n(q) = -39*q - 437. Calculate n(-11). -8 Let p(a) = a**2 - 4*a - 10. What is p(6)? 2 Let z(t) = 2*t**2 + 3*t - 7. What is z(5)? 58 Let h(q) = -q**2 + 6*q + 4. Calculate h(8). -12 Let z(k) = k**3 - k**2 + 55. Determine z(0). 55 Let j(m) = 9*m + 9. Give j(-6). -45 Let v(n) = -4*n**2 - 90*n - 54. Calculate v(-22). -10 Let l(v) = -v**3 + 9*v**2 + 4*v + 43. Give l(10). -17 Let x(f) = -2*f - 46. Give x(-16). -14 Let o(y) = -2*y + 6. Determine o(-9). 24 Let c(t) = -10*t + 4. What is c(-1)? 14 Let a(f) = -f**2 - 6*f + 15. Determine a(-6). 15 Let t(o) = o. Give t(-3). -3 Let q(k) = 2*k**3 - 2*k**2 - 6*k - 3. What is q(-1)? -1 Let l(v) = -3*v**2 - 2*v - 3. Calculate l(-4). -43 Let y(m) = -3*m**2 - 115*m + 57. Give y(-39). -21 Let v(l) = -l**2 + 33. Give v(-8). -31 Let d(l) = -2*l**3 + 8*l**2 + 1. Determine d(4). 1 Let c(r) = r**2 - 9*r - 7. Calculate c(6). -25 Let v(k) = -8*k + 2. Give v(1). -6 Let x(w) = -w**3 + 17*w**2 - 30*w - 20. Calculate x(15). -20 Let s(w) = 2*w**2 + 3*w - 8. What is s(-7)? 69 Let b(l) = l**3 + 6*l**2 - 42*l - 19. What is b(-10)? 1 Let t(y) = -2*y**2 - 3*y - 2. Give t(-3). -11 Let z(w) = -w**2 - 40*w - 385. Determine z(-23). 6 Let x(z) = -2*z - 22. What is x(-7)? -8 Let j(y) = y**3 + 8*y**2 + 14*y + 53. Give j(-7). 4 Let g(v) = v**2 + 4*v + 1. Give g(-5). 6 Let g(z) = -2*z - 23. Determine g(-6). -11 Let j(o) = o**2 - 11*o + 20. Calculate j(8). -4 Let f(w) = 2*w**3 - 40*w**2 + 39*w - 26. Give f(19). -7 Let k(q) = -q**2 + 20*q + 6. Determine k(21). -15 Let k(p) = 10*p**2 - 92*p + 14. Determine k(9). -4 Let w(j) = -70*j - 418. Give w(-6). 2 Let l(s) = -s**3 + 14*s**2 - 47*s + 11. Calculate l(5). 1 Let z(g) = g**3 + 10*g**2 + 8*g - 6. Determine z(-9). 3 Let r(f) = -f**2 - 5*f - 8. Determine r(-2). -2 Let u(t) = -2*t**3 - 2*t**2 - t + 7. Give u(-4). 107 Let o(y) = y**2 - 9*y - 12. Calculate o(5). -32 Let d(f) = -2*f - 32. Determine d(-14). -4 Let t(k) = 89*k + 14. Give t(-2). -164 Let p(w) = -w**2 + 5*w + 9. Give p(-2). -5 Let k(x) = 40*x + 2. What is k(-1)? -38 Let w(s) = s**2 + 10*s - 20. Calculate w(
{ "pile_set_name": "DM Mathematics" }
ve -3*o + 21 = -0*o - 2*s, s = 3*o - j for o. 5 Let r be 47/(-9) - (-6)/27. Let c = -5 - r. Solve c = -g - 3, 13 = 5*x - g - 0*g for x. 2 Suppose -18 = -2*h + 4. Let v(f) = 10*f**2 + 3*f - f**3 + 0*f + 9*f - 6. Let t be v(h). Solve -t*d + 6 = -d - 2*b, -24 = 4*d + 4*b for d. -1 Let f(d) = d**2 + 2*d - 6. Let j be -5*(-3)/(-12)*4. Let i be f(j). Solve -2*q = -5*t + 9, -4*q - 2*t + i + 9 = 0 for q. 3 Let x be ((0 + (10 - 4))/2)/1. Solve 2*o + 3*g = 12, 7*o - x*o + 3*g - 18 = 0 for o. 3 Suppose -7*u = -1 - 34. Solve 0 = -4*v + 2*w, -u*w = -3*v + 5*v for v. 0 Suppose j + 3*y + 0 - 10 = 0, -5*y + 26 = 4*j. Solve 2*t = c + 1 + 3, 3*t - 17 = -j*c for t. 3 Let j be 6*3/(-6) + 8. Let q(z) = -z**3 + 5*z**2 - 2. Let r be q(4). Let l be r/6 + (-3)/9. Solve -2*b + 3*i = l + 23, -j = -2*b - 3*i for b. -5 Let w(b) = -b**3 + 12*b**2 - 12*b + 13. Let t be (-2)/5 + 57/5. Let q be w(t). Solve -4*u - 8 = -4*a, 4*a + 0 + q = 2*u for u. -5 Let q(v) = 5*v - 2. Let z be q(1). Solve f + 0*f - 4*s = 0, z*s = 0 for f. 0 Let f be (15/(-6))/((-6)/12). Let h(w) = w - 2. Let g be h(f). Let r(o) = -o**2 + 4*o. Let v be r(2). Solve -v*m - 2 = -g*a, 0 = -2*a + 2*m + 2 - 0 for a. 2 Let j = -5 + 9. Suppose -8 = -5*v - 3*h, j*h = h - 12. Solve 16 = -4*x, -v*x + 9*x = 2*c - 24 for c. 2 Let g(s) = s**3 + 9*s**2 + 4*s + 10. Let h be g(-7). Let x be h/36 - 4/18. Solve -5*f - 31 = 4*q + 5, -x*f = -2*q for f. -4 Let i(u) = u**2 - 3*u + 3. Let f(r) = 2*r**2 - 6*r + 6. Let m(w) = 6*f(w) - 11*i(w). Let n be m(3). Solve -7 = -4*j - 3, n*a - 14 = j for a. 5 Let v be (-25)/(-9) + (-2)/(-9). Suppose 0 = -7*t + v*t. Solve 3*f + 0*f = 3*w - 9, 4*w + f - 7 = t for w. 2 Let f be (-77)/(-15) - 8/60. Solve -2*r = 5*z + 12, -4*z = -f*r + 33 + 3 for z. -4 Let t(j) = -j**3 + j**2 + 3*j. Let h be t(-3). Let b = -12 + h. Let x be 6/(-27) - 382/(-18). Solve 5*n + b = -5*d, -2*d + x = -5*n - 8 for n. -5 Let f = -3 + 6. Let y(a) = a**3 + 3*a**2 + 2*a. Let m be y(-2). Suppose 0 = z + 4*c, 0 = -m*z + 2*z + 3*c - 5. Solve -8 = -f*s - s, -2*s + z = -2*q for q. 0 Let u be 9/5 + (-5)/(-25). Solve -u*w - 14 = c, 0 = 5*c - 0*w + 2*w + 30 for c. -4 Suppose 0 = 5*f + 3*u - 8 - 21, 4*f + 4*u - 28 = 0. Suppose -f*x + 10 - 2 = 0. Solve 3*j = -5*g - 25, x*g - 1 = -5 for j. -5 Let x(h) be the third derivative of -h**4/12 - 4*h**3/3 - 2*h**2. Let d be x(-6). Solve -p - 1 = -2*w, -6*w - 14 = -d*p - 4*w for p. 5 Suppose 4*r = 26 - 6. Let n be (-4 - 8/(-4)) + 4. Solve 0 = -2*i + n*h, r*i = -0*i + h + 8 for i. 2 Let y(p) = 5*p**3 - p**2 - 2*p - 1. Let s be y(-1). Let b(v) = 2*v + 4 - 4*v - 2 + 7*v + v**2. Let c be b(s). Solve -4*f - 4*x - 2 = f, 0 = -3*f - c*x for f. 2 Let u = 18 + -1. Let t = 24 - u. Let j = -4 + t. Solve 0 = -j*s + 4*y + 4 - 3, -s = 4*y + 21 for s. -5 Suppose -5*w + 25 = -0*w. Suppose -108 = -w*d + d. Solve 5*j + u - d = 0, u - 5 = -j + 2 for j. 5 Let d be (0 - 2/(-4))*18. Solve 3*r = -12, -3*n + r + d + 4 = 0 for n. 3 Let i be (-119)/(-5) - 9/(-45). Solve 4*l + 8 = f, -4*l + 4*f - i = -f for l. -1 Suppose 2*l + 0*l - 8 = 0. Solve -7 - 14 = -l*c - 3*y, 3*c = -y + 12 for c. 3 Let g = 9 + -4. Solve -g*a = 3*v - 4 - 5, a - 13 = 5*v for v. -2 Let r = 12 - 12. Suppose q + 5*p + 10 = 6*q, r = q + 4*p - 7. Solve 2*d + 18 - 6 = 2*s, d = -q for s. 3 Suppose -14 = -3*g + 7. Solve m - 2*u + g = -u, 0 = -5*u + 10 for m. -5 Suppose 4 = 3*k - 2. Suppose 0*w + 5*g - 8 = -4*w, k*g = 0. Solve -5*a = 4*o + 14, w*o + 12 = -4*a - a for a. -2 Suppose -3*y - y = -8. Let i(p) = -p + 2. Let t(u) = -u - 17. Let v be t(-14). Let o be i(v). Solve 5*r = o, -3*r = -y*h - 5*r for h. -1 Let x = 5 - -4. Suppose 7*y - 4*y - x = 0. Solve 5*c + 2*v + 2*v = -20, -5*v = y*c + 12 for c. -4 Suppose -4*b + 14 = -2*m, -2*b - 2*m + 16 = -0*m. Solve 29 = b*k - 4*i, k + 2*i = -2*i + 1 for k. 5 Let s be -1 - -1 - 1*-3. Suppose -s*m + m + 20 = 0. Let i = -6 + m. Solve 4*p + 21 = 3*z, 0 = -z + i*p - 0 + 15 for z. 3 Suppose -8*h + 3*h + 20 = 0. Solve -2*d + 15 = -4*d + 3*t, -2*d - 18 = -h*t for d. -3 Let a = -4 - 1. Let z be (2/2)/((-1)/a). Let t(q) = -q**2 - 5*q - 4. Let k be t(-4). Solve -15 = 3*j - k*j, 5*u = -2*j + z for u. 3 Suppose 5*p + 6*i - i - 45 = 0, 0 = 2*p - 5*i - 4. Let g be 16/p + 8/(-28). Solve q + 10 = 4*j, q = -g*j + 4*q for j. 3 Suppose -f = -4*f + 39. Solve -f = 4*l - 3*c + 6, l - 19 = -4*c for l. -1 Let r be 2 + 0/(-1 - 2). Suppose 5*i - j + 8 = 0, -8 = -2*i + 5*j - r. Let l be 1/i - 27/(-6). Solve 2*p - 3*p - 4*x = -8, -l*p + 8 = 4*x for p. 0 Let p = -2 + 2. Suppose 4*x + 10 - 2 = p, -6 = -v + 3*x. Solve 0 = -v*q - 5*q + 4*k - 17, q + 2*k = 5 for q. -1 Let t(f) = f**3 + 4*f**2 + 4*f + 3. Let c be t(-3). Suppose c = -6*l + l. Suppose -4*q - 18 = -6*q. Solve q = -3*i + p, -p = -i - l*p - 1 for i. -4 Let h = 5 - 5. Solve 4*y + r = 24, -3*y - 2*y - 2*r + 33 = h for y. 5 Let n(u) = -9*u - 25. Let b be n(-3). Solve b = q, 5*i + q = -0*i - 3 for i. -1 Let i = 2 - 0. Suppose 0 = i*k - k. Suppose k*f - 3*f - 2*t + 6 = 0, -5*f + 3*t + 10 = 0. Solve -2*z = -f*l + 5*l - 16, -4*z + 10 = -5*l for z. 5 Let u be 1 - (2 + -2 + 1). Suppose -5*z - 5*s - 25 = u, z + 2*s + 10 = -0. Solve z = -3*o - 3 - 6, 11 = 5*q + 3*o for q. 4 Let x = -22 + 22. Solve -3*t + 20 = -5*z, -5*z - t - 20 = -x*t for z. -4 Suppose 2*m = h, 5*h + 28 = m + 10. Let d be (3/m)/((-1)/2). Suppose -4*p + d*a + 16 = -2*a, a = 3*p - 12. Solve 2*y - 18 = -4*q, -8 = -q - y + p*y for q. 5 Let i = -5 + 4. Let r(l) = -l - l**2 - l**3 + 1 + 1 + 2*l - 1. Let y be r(i). Solve y = 3*d - 5*n - 0*n - 20, -2*d + 3*n = -13 for d. 5 Suppose 0*x + i = -3*x - 32, 0 = 4*i - 16. Let b(l) = l**3 + 12*l**2 + 7. Let r be b(x). Let j be r/(21/6 - 3). Solve p + 23 = 4*u, 5*u = 6*u - 3*p - j for u. 5 Let x(u) = u + 10. Let g be x(-8). Suppose 0 = -6*z + 3*z. Let n be (z - (-24)/(-3))/(-1). Solve 2*w + 0*w = 3*c + 1, -n = g*w for c. -3 Let v(i) = 2*i - 7. Let g be v(5). Suppose -3*n + 13 = 5*j, 3 = g*j - 3. Suppose -15 + 6 = -3*f, 4*l = 5*f + n. Solve m - l*m - 5*y = 24, -21 = 4*m + 3*y for m. -3 Suppose 10*c = 5*c - 4*a + 167, -a = c - 34. Solve 6 - c = 5*n, -5*n - 40 = -5*j for j. 3 Let f = -32 - -34. Solve 4*m + 4*s - 2 = f, -m + 5*s = -1 for m. 1 Let l be 4 - (-1 + 1) - 0. Let t be 4*(2 - 3)*-2. Solve 4*q - 2*q = -4*j, -l*j = 4*q + t for q. -4 Suppose -7*y + 5*d + 5 = -2*y, 2*y + 7 = 5*d. Let p be 36/2 - (-6 + 4). Solve 0 = 4*s - 3*f + 17, -y*s + 0*f - p = -4*f for s. -2 Let b(s) = 2*s**2 - 9 + s**2 - 2*s**2 + 13 + 3*s. Let f be 2*-1*(-9)/(-6). Let v be b(f). Solve v*r = 4*k - 4, 6 + 5 = -k + 4*r for k. 5 Suppose -2*f + f + 5*y = -5, -2*f - 3*y + 10 = 0. Let i be (-22)/8 - 4/16. Let a be (-5)/(-1) - (i + 3). Solve a*u - f*v + 3*v = 5, 4*v - 35 = -5*u for u. 3 Let q(s) = -2*s + 24. Let y be q(12). Solve y = 2*a - 2*w + 14, w = -4*a - w - 16 for a. -5 Suppose -5*x + 47 + 10 = 3*p, 2*p = -2. Suppose 5*h + 3*k = 3*h + 8, 3*h - x = -5*k. Solve 2*s + 3*g - 4 = 0, h*g - 1 = -s + 1 for s. 2 Let u be 1/((-13)/(-60) + 2/(-12)). Solve x - 4 = g, -u = 3*x + 2*x + 3*g for x. -1 Let c = -11 + 15. Let q = c - -1. Let d(b) = 2*b**2 - 5*b - 2. Let w be d(3). Solve -r = 5*x + 15 - w, -q*r = -4*x - 17 for x. -3 Let t(w) = 3*w**3 + 5*w - 3. Let i be t(2). Let d = i - 17. Solve -h = 4*v + d, -3*h - 16 = -h + 5*v for h. 2 Let n = 28 + -25. Solve 7 = -n*o + 5*y - 12, -3*o + 11 = y for o. 2 Suppose -9*y + 8 = -37. Solve -u = -y, 0*a + 28 = -2*a + 4*u for a. -4 Let v be (3/9)/(4/24). Let q = -6 - -10. Solve 2*i = -0*i - v*p - 8, -q*i + 5 = -3*p for i. -1 Suppose n = -x + 6*n + 15, 2*x + n = 8. Suppose -x*p + 1 = -2*d - 7, -3*d + 5 = p. Solve -2*y - 5*j - 10 = -d, -2*y + 3*j = 1 for y. -2 Let l(p) = -2*p - 10. Let o be l(-6). Solve 8 + 7 = -4*j - 3*w, -5*j - o*w = 17 for j. -3 Suppose 10 = -2*x + 3*x - h, 30 = 5*x - h. Let y = 136 + -89. Suppose 0 = x*u + 3*o - y, 4*u = -3*o + 20 + 20. Solve -3*v + 19 = -2*q, -v = -q - 5*v + u for q. -5 Let t be 3/(-12) - (-18)/8. Suppose -t*c - 2*c + 6 = 3*w, -7 = -3*c - w. Solve 2*q = m + 8, 1 = -2*m - c for q. 3 Let x = -38 + 54. Suppose x = a - 0*a - 2*d, 3*a + d = 20. Solve 5*r + 3*b + 26 + a = 0, 0 = -2*b - 6 for r. -5 Suppose -3*d = -4*l + 3*l - 1, l = 5. Solve -z + 5 = 0, 2*z = -d*r + 4*z for r. 5 Suppose 0*x - 5 = -x. Suppose 0 = x*i + 2*g - 51, -30 = -2*i - 4*g + 8*g. Solve -4*u + 5
{ "pile_set_name": "DM Mathematics" }
t u = -13 + 10. Let n(q) be the third derivative of q**5/60 + q**4/24 + q**3/6 - 28*q**2 + 1. What is n(u)? 7 Let l(j) = 2*j**2 - 16*j - 1. Let f be ((-2)/35)/(2/20)*-14. Calculate l(f). -1 Suppose -41 + 101 = -2*m. Let o(v) = -4*v - 127. What is o(m)? -7 Let k(r) be the second derivative of r**3/6 - 5*r**2 - 88*r - 3. Give k(10). 0 Let c(j) = 2*j**3 + 18*j**2 - 22*j - 14. Suppose -3*k = -2*y + 22, -5*y + 95 - 65 = -5*k. Give c(k). 6 Let d(b) = -b - 5. Let t = 11 - 28. Let u(k) = -k**3 - 16*k**2 + 17*k - 6. Let h be u(t). What is d(h)? 1 Let v be -5*(-1)/((-4)/12). Let o be (6/10)/(3/v). Let k(j) = j**3 + j**2. Let n(u) = 2*u**3 + 4*u**2 - u + 2. Let s(i) = k(i) - n(i). Give s(o). -5 Let n(h) = -67 - 8*h + 19 + 24 + 21. What is n(-5)? 37 Let o(i) = i + 3. Let y(q) = -4*q - 13. Let a(s) = 9*o(s) + 2*y(s). Let p(b) = -b**2 - 8*b - 7. Let r(x) = -5*a(x) - p(x). Calculate r(-5). 12 Let g(u) = 2*u + 4 + 1 + u + 10*u - 8*u. Determine g(-5). -20 Let h(b) = -3*b**2 - 4*b - 1 - 2*b**3 + 0*b**3 + 3*b + b + 3*b. What is h(1)? -3 Suppose 0 = 2*b, l - 4*b - 4 = -13. Let f(n) = -n - 2. Determine f(l). 7 Let b be 0 - (-1 + (3 - 4)). Suppose -u - 19 = 3*q, 2*q + 12 + b = -2*u. Let i(s) = s**2 + 7*s + 5. Let p be i(q). Let y(h) = -3*h**2 + 2*h + 1. Give y(p). -4 Let k = -20 + 22. Suppose -b - k*b = 9. Let z(h) = -h**3 - 3*h**2 + 3*h + 3. Calculate z(b). -6 Let k be (-1316)/564 - (-44)/6. Let l(n) = -n**2 + 2*n + 3. Determine l(k). -12 Suppose 3*t + 152 = 7*t. Let d(m) = -3*m - m**3 + 6*m**2 + 0*m**3 + 36 + 4*m - t. What is d(6)? 4 Let d(b) be the first derivative of 2*b**3/3 - b - 4. Suppose -9*c - 4 = -6*c + y, -3*c - 4*y = 7. Let h be d(c). Let t(u) = -9*u. What is t(h)? -9 Let l(n) be the second derivative of -n**5/20 + n**4/12 + n**3/6 + 9*n. Let i be -7 - -2 - 3/(-3). Let m be 2 + -1 - (-12)/i. What is l(m)? 10 Let l be (-5)/(-10) + (-5)/(-2). Suppose 2*i - 3*i - 19 = -3*f, 35 = l*f - 5*i. Let u(o) = -2 + 4*o - 5 - o. Give u(f). 8 Let n(s) be the first derivative of s**3/3 - 2*s**2 + 3*s - 103. Suppose 5*j - 26 = 3*j + 4*k, -3*j = -4*k - 29. Let p be (-2)/3 + 17/j. Calculate n(p). 8 Suppose 3 = a - 4. Suppose -4*x - 5*d + 37 = 0, -5*d = -4*x - 4*d + a. Let q(k) = -2*k + 2. Give q(x). -4 Let m = -53 - -51. Let y(n) = -15*n - 26. Let k(c) = 5*c + 9. Let w be 3 - 3 - (-1 + 7). Let r(g) = w*y(g) - 17*k(g). Calculate r(m). -7 Let d(j) = -j - 3. Let b be 4/(-18) + 460/45. Give d(b). -13 Let y(a) = 3*a**2 + 252*a - 79*a - 85*a - 2 - 86*a. Suppose -4*k - 1 = 7. Give y(k). 6 Let d be 24/(-28)*(-42)/9. Suppose -5*t = 3*n + 26 - 132, 2*t - 32 = d*n. Suppose 10 = -5*g + t. Let b(a) = 6*a - 2. What is b(g)? 10 Let s(x) = x**2 + 9*x + 8. Let a be s(-8). Suppose -1 + a = k. Let r(y) = -2*y - y**2 + 2*y**2 + 1 + y**2 - 2. Determine r(k). 3 Let m(a) = a + 2. Let o(n) = 3*n**3 + n - 1. Let p be o(1). Suppose -p*y + 0*y = 0. Suppose -3*x + 5*k - 2*k - 18 = y, -5*k + 26 = -3*x. What is m(x)? 0 Let r(d) = -6 - 8 - d**2 + 8*d + 5. Let n(i) = -i**2 - i + 8. Let c be n(0). Let o = 14 - c. What is r(o)? 3 Suppose 0 = 4*i - 0 - 8. Suppose 0 = -5*k + c + 20, 5*c + 20 = 4*k + k. Let m(d) = -4 + 3 + 0 + k*d. What is m(i)? 7 Let c(h) = -5*h - 4 + h + 5 + 5*h. Let b(q) = 4*q + 5. Let w(m) = b(m) - 3*c(m). Calculate w(6). 8 Let r(f) = f - 2. Let o = 7 + -4. Suppose -4*b - 69 = o*c, -66 = 2*c + 3*b - 19. Let h = 14 + c. What is r(h)? -7 Let s(q) = -2*q**2 - 16*q - 16*q**2 + 13148 - 2*q**3 - 13150. What is s(-8)? -2 Let j(z) be the first derivative of 0*z - 1/120*z**5 + 0*z**2 - 5/24*z**4 + 4/3*z**3 - 5. Let w(r) be the third derivative of j(r). Give w(-4). -1 Suppose -137 = 3*v - 2*v + 5*x, 250 = -2*v - 4*x. Let l be 2/(-11) - v/99. Let k(w) = 9*w. Give k(l). 9 Let w(q) = -24*q + 143. Let s be w(6). Let r(v) be the third derivative of -3*v**6/40 + v**4/24 - 2*v**2. Give r(s). 8 Let j(p) be the third derivative of -p**5/60 + p**4/4 - p**3/2 + 3*p**2. Let l be ((-2)/(-3))/(1/9). Calculate j(l). -3 Let m be (-4)/(-5) - (-21)/5. Suppose 0 = h + m - 9. Suppose 2*v - 3*v = h. Let l(a) = -a**3 - 3*a**2 + 5*a + 3. Calculate l(v). -1 Let q be -2 - 1 - (-10 + 5). Suppose 13 = -5*r + 2*a, -q*r - 6 = -0*r - a. Let i(j) = -4*j**3 + j**2 + 2*j + 1. Calculate i(r). 4 Let u(b) = -34*b**2 + b. Let n be 372/(-93)*-2*(-1)/(-8). Determine u(n). -33 Let j(y) = 2*y + 30. Let r(w) = -5*w - 63. Let n(p) = -7*j(p) - 4*r(p). Determine n(-9). -12 Let y(j) = 27*j - 5. Let o(u) = 10*u - 1. Let v(p) = -6*o(p) + 2*y(p). Determine v(-2). 8 Let p(w) = -w**2 - 14*w + 30. Let i be p(-16). Let o(x) = 5*x**2 + 4*x + 2. Determine o(i). 14 Let y(a) be the second derivative of a**3/2 - 3*a**2/2 + 2*a - 25. Let g = 1 + 2. Determine y(g). 6 Let y(z) = -3*z - 5. Let w(j) = 19*j + 33. Let s(h) = -4*w(h) - 25*y(h). Let g(d) = 2*d + 2. Let p be g(-4). Calculate s(p). -1 Let f(v) = -2*v**2 - v - 12. Let l be f(-5). Let a = -50 - l. Let c(r) = -r + 7. Calculate c(a). 0 Let t = -1767 - -1768. Let x(a) = 4*a. Calculate x(t). 4 Let z(y) = 22*y - 160. Let w(s) = -7*s + 54. Let m(b) = 16*w(b) + 5*z(b). What is m(28)? 8 Let h(l) = 310*l**3 + 129*l**2 - 129*l**2 - 304*l**3 + 2*l + 1. Let n = -3 - -2. Calculate h(n). -7 Let n(q) = q**2 - 3*q - 2. Let o = -416 + 420. Give n(o). 2 Let a(u) = -u**3 - 5*u**2 - 4*u - 2. Let k = 300 - 302. Determine a(k). -6 Let s(r) = r**3 - 6*r**2 + 6*r + 2. Let w be s(5). Let n(c) = -10*c + 43. Let a(d) = 3*d - 14. Let z(i) = w*a(i) + 2*n(i). Calculate z(6). -6 Let k(y) = 2*y - 2. Let s(i) = 3*i - 6. Let o(b) = 5*k(b) - 3*s(b). Determine o(-14). -6 Let d = -1/517 - -519/1034. Let z(f) be the second derivative of -6*f + 0 + d*f**2 - 1/3*f**3 - 1/4*f**4. Give z(1). -4 Let d = -720 - -734. Let n(c) = -c**2 + 14*c - 16. Calculate n(d). -16 Let r(p) = -4*p**2 - 8*p + 1. Let l(v) = -v**2 + 11*v + 6. Let m be l(12). Let c(g) = -g**2 + g. Let h(f) = m*c(f) - r(f). What is h(1)? 11 Let d(v) = -4*v + 6. Let a be d(1). Let p(o) = -2*o**2 + 3. What is p(a)? -5 Let n be 6/4 + (-12)/8. Suppose 7*c - 12*c + 15 = 0. Let y(k) = -140*k**2 - 5 - k - k**c + 140*k**2. Calculate y(n). -5 Let u(d) = -8*d**3 + 2*d**2 - 3. Let g(o) = -7*o**3 + 2*o**2 - 2. Let a(n) = -7*g(n) + 6*u(n). Give a(3). 5 Suppose 16 = -2*c - 2*c. Suppose 27 = -2*a + 5*l, -a - 4*l + 21 = 2. Let t = a - c. Let v(f) = -f**2 + 4*f + 1. Give v(t). 4 Let q(c) = 5*c**2 + 11*c - 6. Let m(i) = 9*i**2 + 21*i - 11. Let r(w) = -6*m(w) + 11*q(w). Calculate r(5). 0 Suppose 1 = -y + 3*g - 6, -3*g = -9. Let a(h) = 2*h**3 + 3*h**2 - 2*h - 2. Calculate a(y). 22 Let y(t) be the third derivative of -t**6/120 + t**5/15 - 41*t**2 + 1. Determine y(4). 0 Suppose 3*x + 15 = 6. Let b be 3/(-2)*(-2)/x. Let p(u) = -u**3 + 31*u + u**2 + 0*u**3 - 30*u. Give p(b). 1 Let r(p) = -p**2 - p - 4. Let f(h) = -h**3 + 6*h**2 + 3*h - 13. Let j be f(6). Determine r(j). -34 Let j be (((-4410)/28)/(-35))/(3/4). Let l(x) = -x**3 + 5*x**2 + 5*x + 12. Give l(j). 6 Let i(d) = 2 - d - 2 - 4. What is i(-10)? 6 Let q(c) = c**2 - 2*c - 9. Let n = 58 - 53. Let u be q(n). Let z(h) = -h**3 + 6*h**2 + 2*h - 2. Determine z(u). 10 Let f = -6 + 8. Let j(d) = -2*d**f - d**2 + 1110*d - 1107*d - 2. Determine j(2). -8 Let r = 53 - 50. Suppose 26 = r*v - 2*t, -4 = -3*v - 3*t + 2. Let f(w) = -w - 12 - w + 2*w + w. Determine f(v). -6 Let h(a) = -2 - 2 + 2 - 2*a + 6. Let t be h(4). Let d = t + 10. Let x(m) = -m**2 + 7*m - 4. Calculate x(d). 2 Let c(v) = 134*v**2 - 2 + 4*v + 139*v**2 - v - 405*v**2 + 134*v**2. What is c(-5)? 33 Let k(b) = 9*b + 4. Suppose -5*i = 5*x - i - 150, 2*i - 150 = -5*x. Suppose -15 = 35*u - x*u. Give k(u). -23 Let p(i) be the second derivative of -i**4/12 - i**2/2 + i - 182. Calculate p(3). -10 Let u(t) = -2*t**2 + 5*t - 3. Suppose m + 6 - 42 = 0. Suppose -9*c + m = -15*c. Let s be (-184)/(-44) - c/(-33). Determine u(s). -15 Suppose -4*o + 16 = -0. Let c(l) be the first derivative of -l**4/4 + 5*l**3/3 - l**2 + 2*l + 90. Give c(o). 10 Let r(g) = 3*g + 1. Let w(y) = -y - 6. Let j be w(-8). Suppose 0 = j*u + 5 - 9. Suppose 0 = -k - 7 + u. Calculate r(k). -14 Suppose 0 = m - 4. Suppose -s - 20 = 5*v - 2*s, 0 = -m*v - 4*s - 40. Let k(y) = -y**3 - 4*y**2 + 4*y - 1. Give k(v). 4 Let z be (-9)/(-5) + (-1)/(-5). Let k(u) = -3*u**3 + 0*u**2 - u**3 + 3*u + 3*u**3 + 4*u**z - 6. Give k(4). 6 Let i(o) = 21*o +
{ "pile_set_name": "DM Mathematics" }
2680470497 prime? False Is 3538013753 a prime number? True Is 41748483937 a composite number? True Is 118668793 prime? False Is 103833007651 a prime number? False Is 13694105119 a composite number? True Is 99598611221 prime? True Is 9755344657 a prime number? False Is 29922501673 composite? False Is 212448127 a prime number? False Is 79957123 prime? True Is 903021709 a composite number? True Is 1298813683 a composite number? False Is 88261963 prime? True Is 357349139 a composite number? True Is 25183573871 prime? False Is 3135896191 a composite number? True Is 65548169 a composite number? False Is 17452879451 prime? False Is 50258698921 a prime number? False Is 1040971709 a prime number? True Is 38622889 a prime number? True Is 74248394183 prime? False Is 496275541 a composite number? True Is 6865054499 a prime number? False Is 1015014943 composite? False Is 43503548161 composite? True Is 3209724263 a prime number? False Is 323545279 a prime number? False Is 3736943447 composite? 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True Is 1140594617 a composite number? True Is 402342121 a composite number? True Is 20332424341 a composite number? False Is 30270781291 composite? False Is 23453422151 prime? True Is 12614903867 a composite number? True Is 120350987 a composite number? True Is 429351121 composite? False Is 17335047887 a composite number? False Is 6430702783 prime? True Is 7271542171 prime? True Is 99357569 a composite number? False Is 560409767 composite? False Is 1841202217 a prime number? False Is 77123243189 a composite number? False Is 2315053213 prime? False Is 105839177839 prime? False Is 834350537 composite? True Is 4331652685 prime? False Is 414409467 prime? False Is 43251519965 prime? False Is 103249983869 composite? False Is 17289094457 a prime number? False Is 634221053 composite? False Is 152305211 composite? False Is 3631929881 composite? False Is 11197011113 prime? False Is 86879362991 a composite number? True Is 1547300251 a prime number? False Is 193157243 composite? 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True Is 933202201 a prime number? True Is 7868816639 composite? True Is 52099039 prime? True Is 19894166521 a prime number? True Is 47272196609 prime? False Is 57757465063 prime? False Is 74170265927 a composite number? False Is 1117699411 a composite number? True Is 5486962699 a prime number? False Is 550281133 a prime number? False Is 115805527 composite? False Is 673414363 prime? False Is 47859777409 composite? True Is 10696688857 a composite number? False Is 938595127 a composite number? False Is 15048499121 a prime number? False Is 21888750067 a prime number? True Is 188173115303 a prime number? True Is 107041586681 prime? True Is 79243497371 prime? True Is 255882413 a composite number? False Is 4970278273 a composite number? True Is 4650032861 composite? False Is 16381169491 a composite number? True Is 3674439761 composite? False Is 339529931 composite? True Is 1475790949 composite? False Is 12725837909 a composite number? False Is 1939762189 a prime number? True Is 534837211 prime? False Is 22897229359 composite? True Is 4781460349 prime? False Is 929764859 a prime number? True Is 144152479 composite? False Is 575187031 a composite number? False Is 76026610637 a prime number? False Is 7143492229 composite? True Is 18767575427 composite? True Is 1713360583 composite? True Is 54566144419 prime? T
{ "pile_set_name": "DM Mathematics" }
reatest common factor of 44 and r. 44 Let r be 1/(0 + 1/3). Suppose 0 + 10 = t + v, 2*v = -r*t + 29. Calculate the highest common factor of t and 9. 9 Let q be 4/6*90/4. What is the highest common factor of 15 and q? 15 Let y(x) = 7*x + 10. Let q be y(0). Calculate the greatest common divisor of 5 and q. 5 Let i be (-39)/91 - (-90)/14. What is the greatest common divisor of 10 and i? 2 Suppose 5*g + 16 = y - 54, -3*g = y - 78. Suppose 3*o + 27 = -0*o. Let s be (-141)/o + (-4)/6. What is the highest common divisor of s and y? 15 Suppose -n + 11 = 3*k, -5*n + 41 = -5*k + 6. Suppose -5*u = 4*w - 51 - 50, -n = -2*w. What is the greatest common divisor of u and 68? 17 Let h = -11 - -15. Suppose 0 = f - h - 2. Calculate the greatest common factor of 24 and f. 6 Suppose 2*j + 10 = -4*s + 230, 0 = -3*s + j + 160. Calculate the highest common divisor of s and 27. 27 Let s be 164 + (-4 - -1 - -1). What is the greatest common divisor of s and 18? 18 Suppose -2*b = 3*b + 255. Let m = 13 - b. Calculate the highest common factor of 16 and m. 16 Suppose -5*n = -4*b + 143, -3*n - 195 = -9*b + 4*b. Let c = 15 - -13. What is the highest common divisor of c and b? 14 Let h(j) be the first derivative of 2*j**2 - j - 3. Let w be h(2). Calculate the highest common factor of 21 and w. 7 Suppose -50 = -2*z - 14. What is the greatest common divisor of z and 18? 18 Suppose -5*h - 70 = -p - 0*p, 5*h = -5*p + 290. Suppose -6*j + j = -p. Suppose -3*i + 5*i = 16. Calculate the greatest common divisor of j and i. 4 Let f(l) = 2*l**2 - 4*l - 5. Let w be f(5). Calculate the greatest common divisor of 125 and w. 25 Let t = -3 - -8. What is the greatest common factor of 35 and t? 5 Suppose -3*c = -0 - 6. Suppose 4*n = 2*n - 5*i + 5, 3 = -c*n + 3*i. Suppose n = 2*t - 2 - 4. What is the highest common factor of 3 and t? 3 Suppose 225 = 4*j - 55. Calculate the highest common divisor of j and 10. 10 Let i = 11 + -6. What is the highest common divisor of 35 and i? 5 Let d(l) = -2*l. Let t be d(-5). What is the highest common factor of t and 10? 10 Let d be (-3)/3 - (1 - 20). Let m be d + -16 + 13*1. Calculate the greatest common factor of 3 and m. 3 Let c(b) = -b + 25. Let i be c(6). What is the highest common factor of i and 152? 19 Suppose -5*r + 3*h + 436 = 21, 2*h - 310 = -4*r. Suppose -3*q + 50 = q + 5*n, 0 = 3*q + 3*n - 36. What is the greatest common factor of q and r? 10 Let c(y) = 6*y**2 + 3*y. Let a be c(-2). Suppose -2*r + 5 = -j, 0 = -3*r - j + 6*j + a. Calculate the highest common factor of r and 1. 1 Let f(s) = s**3 + 6*s**2 - 3*s - 1. Suppose 0*w + 5*j + 31 = -2*w, 2*w - 5*j - 19 = 0. Let o be f(w). Calculate the greatest common factor of 5 and o. 5 Suppose k - 2*s - 220 = 0, -3*s + 419 = -2*k + 4*k. Let g = k + -88. What is the greatest common divisor of g and 18? 18 Let m be (0 - (0 - 0)) + 22. Suppose -5*l + 3*a = 4*a - 15, 2*a - 18 = -4*l. Let x be l/5*(-5)/(-1). Calculate the greatest common divisor of x and m. 2 Let z = 8 - 13. Let h be (z + 1)/(3/(-6)). Calculate the highest common divisor of h and 32. 8 Let g(d) = 7*d - 9. Let w be g(3). Calculate the highest common factor of 48 and w. 12 Suppose 0 = m - 7 + 3. Suppose 14 = t + 4*g, -5*t - g = -m*g - 116. Suppose -3*n = 5*k - 165, 66 = k + k - n. Calculate the highest common factor of t and k. 11 Suppose 0 = c - 38 - 45. Let n = 6 - c. Let k be 9/15 - n/5. What is the greatest common factor of 48 and k? 16 Let b = 159 - 151. Calculate the highest common factor of b and 24. 8 Let r(a) = 5*a - 3. Let x be r(9). Let l be 12/7*x/12. What is the greatest common factor of 54 and l? 6 Suppose 3*z = -4*l - z + 596, 2*l + 4*z - 308 = 0. Let n(t) = 10*t + 6 - 3*t**2 - 14 + 2*t**2. Let b be n(6). Calculate the greatest common divisor of l and b. 16 Let z be -9 + 12 - 16*-2. Let f = -25 + z. What is the greatest common divisor of f and 5? 5 Suppose -2*v = -7*v + 320. Calculate the greatest common factor of v and 16. 16 Let r be (-67)/(-5) - 2/5. Let a = 92 + -36. Let n = 82 - a. Calculate the greatest common factor of n and r. 13 Suppose -269 = -9*g + 127. Let s be (11/(-4))/(1/(-4)). What is the greatest common factor of g and s? 11 Suppose 0 = -3*w - w + 12. Suppose 12 = v + w*v. What is the greatest common factor of 3 and v? 3 Let x be (-20 - -58)/((-2)/((-1)/1)). Let j be ((-38)/(-4))/((-1)/(-2)). Calculate the greatest common divisor of j and x. 19 Let n(l) = 70*l**2 + 3*l + 1. Let s be n(-1). What is the greatest common divisor of 170 and s? 34 Let k(f) = f + 25. Suppose 0*c - 4*h - 12 = c, 0 = -2*h - 6. Let q be k(c). Calculate the greatest common factor of 5 and q. 5 Let q be 2/(-5)*(-11 + -4). What is the highest common factor of 48 and q? 6 Suppose 0 = -5*u + 67 + 353. What is the greatest common divisor of 12 and u? 12 Let b(p) = -2*p + 1. Let h be b(0). Let n be (1 - h) + 0 - -20. Calculate the greatest common divisor of n and 5. 5 Let n(x) = x**2 - 9*x + 2. Let a = -14 - -20. Let g be n(a). Let l = g + 46. Calculate the highest common divisor of l and 6. 6 Suppose 2*c + 90 = 7*c. Let y be (-4)/c - (-146)/9. Calculate the highest common divisor of y and 144. 16 Let h = -59 - -72. What is the greatest common divisor of h and 52? 13 Let t(x) = 2*x - 11. Let v be t(8). Calculate the highest common divisor of 2 and v. 1 Suppose 0*x + 2*x - 28 = 0. Suppose 2*n - 23 = -9. What is the greatest common divisor of n and x? 7 Let d be 6*(2/(-4) - -2). Let p(k) = 6*k - 7 - 1 + 5*k - k**2. Let x be p(d). What is the highest common factor of x and 80? 10 Let t(g) = -g**2 + g + 9. Let x be t(0). Calculate the greatest common factor of x and 45. 9 Let h(c) = 2*c**2 + 4. Let v be (2 + 3)/(1 - 0). Let z be h(v). What is the greatest common divisor of z and 6? 6 Let u = -2 + 0. Let v = -4 + u. Let y be (9/v)/((-2)/88). Calculate the highest common factor of y and 6. 6 Let s = 8 + 8. Let y be 1 + s - (2 - 1). Suppose 0 = -2*p + 2 + y. Calculate the greatest common factor of 9 and p. 9 Let g(k) = 41*k - 2. Let h = -9 + 7. Let y(v) = -3*v - 3. Let q be y(h). Let d be g(q). Calculate the greatest common divisor of d and 11. 11 Let j be 0 + 4*(-1)/2. Let s(o) = -4*o - 3. Let c be s(j). Let i(a) = a**3 + 8*a**2 + 6*a - 2. Let y be i(-7). Calculate the highest common divisor of y and c. 5 Let m(b) be the first derivative of -1 + 0*b**3 - 2*b**2 - 3*b - 1/4*b**4. Let j be m(-3). What is the highest common factor of 6 and j? 6 Let x be (-6)/(-8) + 295/(-20). Let g = 84 + x. Calculate the greatest common factor of g and 14. 14 Suppose c + 3*c - 156 = 0. Let i(y) = -y**2 + 3*y + 1. Let t be i(4). Let j = t - -16. Calculate the highest common factor of j and c. 13 Suppose l - 9 = -5*i, -2*i - l + 1 = -i. Suppose r + 19 - 62 = -i*a, -5*r + 2*a + 155 = 0. What is the highest common divisor of r and 22? 11 Let r = -9 - -7. Let o(d) = 2*d**2 + 3*d + 2. Let m be o(r). What is the highest common factor of 16 and m? 4 Suppose 0*f = 2*f + 24. Let j be ((-2)/(-3))/(f/18). Let g be (48/(-15))/(j/5). Calculate the greatest common divisor of g and 144. 16 Let b(s) = -s**3 - 2*s**2 - s + 4. Let u be b(-3). Calculate the highest common divisor of u and 24. 8 Suppose -3*t + 67 = -5*o + 260, -4*t - 156 = -4*o. Calculate the highest common divisor of 152 and o. 38 Suppose -7*t = 2*t - 18. What is the highest common divisor of t and 32? 2 Let y be 3/(3/2 + 0). Suppose y*z + 48 = 5*z. Let f(k) = -14*k**3. Let w be f(-2). Calculate the highest common factor of z and w. 16 Suppose -i + 6 = 4*f, i - 11*f - 14 = -7*f. What is the highest common divisor of 160 and i? 10 Let z(a) be the third derivative of a**6/60 - a**5/60 + a**4/24 - a**3/2 + 6*a**2. Let g be z(3). What is the highest common divisor of 5 and g? 5 Let y(b) = -b**2 - 9*b - 6. Let m be y(-6). Calculate the greatest common factor of m and 72. 12 Let l = 11 - -38. What is the highest common factor of 7 and l? 7 Let f be (-6 + 3)*(-50)/6. Let h = 25 - 17. Suppose 2*a - 23 = -n, -a = -n - h + 1. Calculate the greatest common divisor of f and a. 5 Suppose -2*z = -x - 0*x + 133, -246 = -2*x - z. Calculate the greatest common factor of 50 and x. 25 Suppose 150 + 264 = 3*i. What is the greatest common factor of i and 6? 6 Let a = -4 - -18. Let o(l) = -l + 11. Let t be o(9). Calculate the highest common
{ "pile_set_name": "DM Mathematics" }
t to -1 in -431, 1/2, 0.2, 89, 4, 0.38? 0.2 Which is the closest to 0.1? (a) 0.094 (b) -4/2501 (c) -2 (d) 1/5 a Which is the closest to 2? (a) 1/2 (b) 12 (c) -4 (d) 670 a What is the nearest to -38 in -0.077, 4, -483, 5, -4? -4 Which is the closest to 102? (a) 1/2 (b) 77 (c) -3/19 b Which is the closest to -120? (a) -7 (b) -6 (c) 2 (d) 0 a Which is the nearest to -1/2? (a) 8 (b) -11/18 (c) 22/7 (d) 2 (e) 4 (f) 3 b Which is the closest to 3.9? (a) -0.08 (b) 5 (c) -2.2 b What is the closest to -10.9 in 1/3, 1/11, -0.4, 21/8? -0.4 Which is the nearest to 2.7? (a) -0.06 (b) 4 (c) -1/5 (d) 4929 b What is the closest to -2 in -118, 462, 5, -2? -2 Which is the closest to -1.15? (a) 5 (b) 0.4 (c) -6/31 (d) 2.7 c What is the closest to -3 in -0.4, 7/794, -6/11? -6/11 What is the closest to -33.246 in -5, 2/13, -38, -1? -38 What is the closest to 0.1 in 4, -5, -213, -1/498, -1/2, 0.3? -1/498 What is the closest to 1 in -31827, -15/7, -1/2? -1/2 What is the closest to -11 in -39, -35, 2/7, -1/4? -1/4 What is the closest to 4 in -3, -4983, -6.6, -0.2? -0.2 What is the closest to 2 in -5, 35, -172, 32, -0.05? -0.05 Which is the closest to 0.4? (a) 0.3 (b) 0.2363 (c) 1.4 (d) 0.1 (e) 0.06 a What is the nearest to -0.1 in 259, 5, -46274? 5 Which is the closest to 6? (a) 5 (b) -2/17 (c) 0.4 (d) -281.6 (e) -0.1 a Which is the nearest to -1.3688? (a) 5 (b) 4 (c) -5 (d) -2/27 d Which is the nearest to 1/2? (a) -3 (b) -17 (c) 39/155 c Which is the nearest to -12.32? (a) 1 (b) -2 (c) -88/9 (d) 3 c Which is the closest to -0.23? (a) 1 (b) 5/4 (c) 5 (d) -1/6 (e) -8/3 d Which is the closest to 0.3? (a) -0.5 (b) 64 (c) -5 (d) 0.12 (e) -1 d Which is the nearest to -2/3? (a) -19.531 (b) -5 (c) 0.1 (d) 5 (e) 3/8 c What is the closest to 0 in 34, -4015, -115? 34 What is the nearest to 86478 in -0.3, -0.01, -0.4? -0.01 Which is the nearest to 2/9? (a) 593 (b) 0.5 (c) -864 (d) 1 b What is the closest to -2/5 in 2/9, -3/13, 16.1, -1? -3/13 What is the closest to 13554 in 0.2, -681, -1? 0.2 Which is the nearest to -1/4? (a) -0.03 (b) 2 (c) 12638 a Which is the closest to 4.6? (a) 2/11 (b) 2/9 (c) 0.02 (d) -175 (e) 2 e What is the nearest to 7 in 2/9, 4, -4734, 5, -3/16? 5 Which is the nearest to -24? (a) -2 (b) -0.1 (c) -0.11959 a Which is the nearest to 3/22? (a) -0.4 (b) 10 (c) -0.3 (d) -2 (e) -3 c What is the closest to -1 in 19/45, 5, 0.1, 2, 4, 13/15? 0.1 What is the nearest to 0.40267 in 3, 1/7, -1/175? 1/7 Which is the closest to 0? (a) -0.4 (b) -1/4 (c) -7 (d) -1608.3 b What is the closest to -134 in 2646, -30, 2? -30 What is the closest to -0.022 in 2/19, -0.2, 115, -7/17, 0.1, -0.1? -0.1 Which is the closest to -113? (a) -3/4 (b) -0.5 (c) -3 (d) 0.3 (e) 1 (f) 2/177 c What is the closest to 1136 in 6.2, 0.2, 1/3, 0.5, -6, 1? 6.2 Which is the nearest to 12? (a) 0 (b) 0.4 (c) -3886 (d) -0.6 (e) -0.2 b Which is the closest to 1/9? (a) -0.3 (b) -6 (c) -9461 (d) -205 a What is the nearest to -0.2 in -5, -8, 2, 69, 4? 2 What is the closest to 0.11039 in 1, -2, 7, 34? 1 What is the nearest to 74 in -7, 0.01, 4, 4.3? 4.3 What is the closest to -0.1 in -9, 3, 215246, 0.2? 0.2 What is the closest to 2 in 2/11, 81004, 0.5, 3? 3 What is the nearest to 2 in 0.4, 0.2, -1/8, -3.5608? 0.4 What is the nearest to 3/14 in 14, -1/559, 0.3, 0, 0.04, 1? 0.3 Which is the nearest to 1/4? (a) 0.07 (b) -0.1 (c) 3 (d) 2/9 (e) 0.30802 d Which is the closest to -0.2? (a) -15 (b) 4 (c) -1.3 (d) 2 (e) -26 c What is the closest to -63 in 5, 0.36, 4/7, 503? 0.36 What is the closest to -39216/7 in -4, -2, 64? -4 What is the nearest to 0.045 in 0, 7608, 3/5, 3, -0.1? 0 Which is the nearest to -1/3? (a) -103 (b) 1 (c) -1/18 (d) -6/11 (e) 2/15 (f) 6 d What is the closest to 0.4 in -1/3, -88, 4/5, -0.08, 0.1? 0.1 Which is the closest to 11? (a) 1 (b) 149/2 (c) 69/10 c Which is the closest to 12? (a) 56812 (b) 8/19 (c) 1/6 b What is the nearest to -1 in -8, -3212, 2, -3, -0.3, 4? -0.3 What is the nearest to -0.3 in -2, 3399, -3/1435? -3/1435 Which is the closest to -11? (a) -9 (b) 4 (c) 9 (d) 2.1161 (e) -3 a What is the closest to -1 in -0.2, -4, 14, -2/9, 743? -2/9 What is the nearest to 246 in 0.001, -14, -1/5, 3/7, 1, 10? 10 Which is the closest to -11/8? (a) 6 (b) -353 (c) 1/5 c Which is the nearest to -8? (a) 0.0619 (b) -0.04 (c) 0.778 b What is the closest to 2/23285 in -41, -2, 2/13? 2/13 What is the closest to 2/13 in -1, -0.243, 4, -3, -0.3? -0.243 Which is the closest to 2/5? (a) 5 (b) 2/13 (c) -1/2427488 (d) 4 b What is the closest to -4 in -0.3, -2, 2/13, 0, -187, -3? -3 What is the nearest to -2/5 in -0.04, 3.72, 12, -2/17? -2/17 Which is the closest to -2/7? (a) 3/7 (b) 34.9 (c) 3/8 (d) -2/133 (e) -3 d Which is the nearest to 6? (a) -6/5 (b) -0.4 (c) -485 b What is the closest to 1 in -55, -1.5, -1/3, 1/9, -1? 1/9 What is the nearest to 0.2 in 5, 1/6, -1, -1/17, -20/9, -6? 1/6 Which is the nearest to 4? (a) 28.4 (b) -0.6 (c) -0.315 c What is the nearest to -451 in 3, -0.06, -4? -4 What is the closest to 1 in -0.06, -898, -5, -2/129, -0.1? -2/129 What is the nearest to 59/5 in 5, 1/8, 0.4, 783.6? 5 Which is the nearest to 4? (a) -0.6 (b) -354.35 (c) 4 (d) 0 c What is the closest to 128 in 13, 0.2, -4058.5? 13 What is the nearest to 2/13 in -0.3, 77, -831.7, 0.5? 0.5 What is the closest to -1/66 in 687260, -2/3, -0.1? -0.1 What is the closest to 1/4 in -0.147, 1/4, 33240? 1/4 Which is the nearest to -2? (a) -99 (b) 55219 (c) 2 c Which is the nearest to -31? (a) 2 (b) 5 (c) -0.5 (d) -1245 (e) -1/3 c What is the nearest to 1 in -0.4, 1.9, 4, -1, -890? 1.9 Which is the nearest to 0.2? (a) -3 (b) -176 (c) -5 (d) 201 a What is the nearest to 0.2 in -1/3, 13, 2725/3? -1/3 Which is the nearest to 8/7? (a) 3/2 (b) 74 (c) 2/9 (d) 4/3 (e) -2/11 d Which is the nearest to -4/7? (a) -5 (b) 26 (c) 4 (d) 1 (e) -1/18 e What is the nearest to 4 in -0.08, -2/7, -225935, 0.4? 0.4 What is the closest to 2.2 in -2, 179, 4, -0.2, -0.12, -166? 4 Which is the closest to -13.2? (a) -0.1 (b) -17 (c) 1/10 (d) -3 (e) -0.3 b What is the nearest to -0.0147 in 3, 3.6, -1, -10, -0.5? -0.5 What is the closest to -762/17 in 1/2, -1, 2/959, -0.5? -1 Which is the closest to 0? (a) -2218 (b) 29 (c) 0 (d) 3 c What is the closest to -2/5 in 2662770, 5, 0.1, -0.5? -0.5 What is the nearest to 1 in -8, -77/6, 6827? -8 Which is the nearest to -3/1040? (a) 1 (b) -3/4 (c) -5/4 (d) 1/4 d What is the closest to 1932 in 3/8, -0.052, -1, -12? 3/8 What is the nearest to -1320 in -2, 130/3, 116? -2 What is the closest to 287/8 in -2/17, -0.1, -2/671? -2/671 Which is the nearest to -0.3? (a) -10/69 (b) 1/6 (c) 5 (d) 2/9 a What is the nearest to -27 in 15, 0.3, -3/2, -1/4, -37? -37 Which is the closest to -2.2? (a) 0 (b) 1/4 (c) 14 (d) 4 (e) -39 a What is the nearest to 1/4 in 2, -6379, 5, 0.025? 0.025 What is the nearest to 1/169 in -4, 1/12, -4/5, 73? 1/12 Which is the nearest to 0.2? (a) 608 (b) -0.5 (c) 4/51 (d) 0.05 c What is the closest to -0.02 in 6, 2/5, -9175? 2/5 What is the closest to -1 in -1/8, 1.9, -4/3, 18/7? -4/3 Which is the closest to 1? (a) 0.055 (b) -325 (c) -2/5 (d) 51 (e) 1/8 e Which is the nearest to 11? (a) 4 (b) -2 (c) 0.056 (d) -78 a What is the closest to 0.2 in 87807.9, 0.2, -3.3? 0.2 Which is the closest to 1? (a) -1 (b) -5.1 (c) -1869/10 a What is the closest to -3 in -19.3, 2/15, -3/5, 5, -0.4? -3/5 What is the nearest to -0.0825291 in 5, 3, -0.18? -0.18 What is the closest to 2/3 in -0.1606, 5, -3, -177? -0.1606 Which is the closest to -0.1? (a) 36160 (b) -1174/9 (c) 5 c What is the nearest to 0.4 in 223, -12, 2, 0? 0 What is the nearest to -0.2 in -4, -0.5, -315, -1/9, 3? -1/9 Which is the nearest to -0.2? (a) 9583 (b) 3 (c) 4 (d) 0.5 (e) 193 d What is the closest to 1 in -51.39, 6, -4/9, 1.8, 0.1? 1.8 What is the nearest to 1/35 in -1, 2, -3381.4, -0.2? -0.2 What is the closest to 20 in -0.2971, -2.5, -2/3? -0.2971 What is the closest to -1 in -1, -0.026, 11843, -0.3? -1 Which is the nearest to 1? (a) 1386 (b) -0.2 (c) 161 (d) -4/7 b Which is the nearest to -361? (a) 88 (b) -7 (
{ "pile_set_name": "DM Mathematics" }
41.2 microseconds? 0.000193554875 What is seven halves of a micrometer in nanometers? 3500 How many millennia are there in 52.56915 months? 0.0043807625 How many millilitres are there in five eighths of a litre? 625 Convert 8.972376 micrometers to centimeters. 0.0008972376 What is 0.2352467 millilitres in litres? 0.0002352467 How many tonnes are there in 24228.76 kilograms? 24.22876 What is 39.28298 nanograms in micrograms? 0.03928298 How many micrograms are there in one tenth of a gram? 100000 How many nanograms are there in 1/10 of a milligram? 100000 What is thirteen fifths of a century in years? 260 What is 616.3061 litres in millilitres? 616306.1 What is 842.2821 weeks in seconds? 509412214.08 What is 9/10 of a litre in millilitres? 900 How many milliseconds are there in 0.30731 nanoseconds? 0.00000030731 Convert 55.15366 weeks to hours. 9265.81488 How many millilitres are there in 499.5465l? 499546.5 What is 9.586052 minutes in nanoseconds? 575163120000 What is 563913.8m in millimeters? 563913800 How many nanograms are there in 25/4 of a microgram? 6250 What is 3687.868 kilometers in meters? 3687868 How many millennia are there in 902122.5 years? 902.1225 What is 526.3452ns in seconds? 0.0000005263452 What is 7/2 of a millennium in months? 42000 What is 417.3678ng in grams? 0.0000004173678 Convert 69578.77 minutes to milliseconds. 4174726200 What is 5.355835 years in centuries? 0.05355835 What is 0.1362385 meters in kilometers? 0.0001362385 What is 34/5 of a millimeter in micrometers? 6800 What is 293984.25 hours in days? 12249.34375 What is fifteen quarters of a micrometer in nanometers? 3750 How many seconds are there in one sixth of a minute? 10 What is 0.8480872l in millilitres? 848.0872 What is five quarters of a meter in millimeters? 1250 What is 11.74693l in millilitres? 11746.93 What is twenty-one halves of a century in decades? 105 How many nanograms are there in 3/32 of a milligram? 93750 Convert 929.27l to millilitres. 929270 How many litres are there in 665.8028 millilitres? 0.6658028 Convert 69765.01 milligrams to tonnes. 0.00006976501 What is 1/5 of a litre in millilitres? 200 What is 5223.519 litres in millilitres? 5223519 How many meters are there in 0.4121218cm? 0.004121218 What is 21.280644 nanoseconds in weeks? 0.00000000000003518625 What is three fifths of a meter in millimeters? 600 What is 3/8 of a kilometer in meters? 375 How many milliseconds are there in 840038.4 hours? 3024138240000 How many millilitres are there in seven eighths of a litre? 875 How many tonnes are there in 658.687 micrograms? 0.000000000658687 How many micrograms are there in 61.54901t? 61549010000000 What is 0.8848557km in millimeters? 884855.7 How many months are there in 1/10 of a century? 120 How many decades are there in one quarter of a millennium? 25 What is 962.3891nm in millimeters? 0.0009623891 What is 169.0607079ms in weeks? 0.00000027953159375 What is 0.0635473 nanometers in millimeters? 0.0000000635473 What is seven eighths of a litre in millilitres? 875 What is 768985.6nm in micrometers? 768.9856 How many kilograms are there in seventy-seven halves of a tonne? 38500 How many minutes are there in fifty sevenths of a week? 72000 How many millennia are there in 2923.387 centuries? 292.3387 How many grams are there in 79440.2ng? 0.0000794402 What is 17/4 of a centimeter in micrometers? 42500 How many nanograms are there in 4708.213 kilograms? 4708213000000000 What is 968.7783ug in grams? 0.0009687783 What is 8446.947mg in grams? 8.446947 What is 122.63367 months in centuries? 0.102194725 What is 0.9230708 nanometers in centimeters? 0.00000009230708 What is 11/2 of a week in minutes? 55440 How many months are there in 3/50 of a century? 72 Convert 2.353056 decades to years. 23.53056 What is five eighths of a tonne in kilograms? 625 How many millilitres are there in 8.685654l? 8685.654 What is fifteen quarters of a kilogram in grams? 3750 How many years are there in eleven eighths of a millennium? 1375 How many millilitres are there in seven quarters of a litre? 1750 What is five quarters of a tonne in kilograms? 1250 How many centuries are there in 0.9350444 decades? 0.09350444 How many nanometers are there in 18/5 of a micrometer? 3600 Convert 49.90555 micrograms to grams. 0.00004990555 What is eleven quarters of a century in years? 275 What is 3/25 of a microgram in nanograms? 120 What is 3/10 of a day in seconds? 25920 What is 76696.56ml in litres? 76.69656 How many millennia are there in 0.3083327 centuries? 0.03083327 What is eight thirds of a century in months? 3200 How many kilometers are there in 265.7371 meters? 0.2657371 How many micrometers are there in 18/5 of a centimeter? 36000 How many meters are there in 8065.213 millimeters? 8.065213 What is 6/5 of a millennium in centuries? 12 How many nanoseconds are there in 89979.14us? 89979140 Convert 386889.3l to millilitres. 386889300 What is 56964.42 millilitres in litres? 56.96442 How many millilitres are there in 5/4 of a litre? 1250 What is 845.089ml in litres? 0.845089 How many millimeters are there in 14.82315 meters? 14823.15 What is 0.579739 kilometers in centimeters? 57973.9 What is 0.211427 millilitres in litres? 0.000211427 What is 44/5 of a millimeter in micrometers? 8800 What is 7/6 of a millennium in months? 14000 How many milliseconds are there in 88/5 of a second? 17600 How many years are there in three tenths of a millennium? 300 How many milligrams are there in 62.41828g? 62418.28 Convert 81998.56 millennia to months. 983982720 How many centuries are there in 46/5 of a millennium? 92 How many centimeters are there in 143383.3 meters? 14338330 What is 39.99653 years in decades? 3.999653 How many millilitres are there in 7/2 of a litre? 3500 How many nanoseconds are there in 32781.53s? 32781530000000 How many millilitres are there in 589.2222 litres? 589222.2 Convert 477.0674 millennia to decades. 47706.74 What is eighteen fifths of a litre in millilitres? 3600 How many litres are there in 613.0729ml? 0.6130729 What is 51367.3mg in nanograms? 51367300000 Convert 65714.5 years to millennia. 65.7145 Convert 8.487319 millilitres to litres. 0.008487319 How many micrograms are there in 0.9005865 milligrams? 900.5865 Convert 9416.483 minutes to microseconds. 564988980000 How many nanograms are there in 0.9077624 grams? 907762400 What is 0.8033913 decades in millennia? 0.008033913 How many hours are there in 85/4 of a day? 510 What is 1/5 of a minute in seconds? 12 How many millimeters are there in 3/40 of a kilometer? 75000 What is 0.2490683 litres in millilitres? 249.0683 Convert 5259.437 years to millennia. 5.259437 What is 51/5 of a century in months? 12240 How many minutes are there in 1146476.7s? 19107.945 How many meters are there in 18/5 of a kilometer? 3600 What is 3/50 of a microgram in nanograms? 60 How many nanoseconds are there in six fifths of a microsecond? 1200 Convert 28214.63 nanograms to milligrams. 0.02821463 What is 29/2 of a litre in millilitres? 14500 What is 7/2 of a litre in millilitres? 3500 What is three fifths of a meter in centimeters? 60 What is eleven quarters of a gram in milligrams? 2750 What is 743091.4ml in litres? 743.0914 What is 2/9 of a day in minutes? 320 How many tonnes are there in 513294.4g? 0.5132944 What is 1/5 of a centimeter in millimeters? 2 Convert 625151.4 decades to centuries. 62515.14 How many kilograms are there in 13/5 of a tonne? 2600 How many millimeters are there in 3/40 of a meter? 75 How many grams are there in 27714.6kg? 27714600 What is six fifths of a century in decades? 12 How many seconds are there in 3/40 of a week? 45360 What is 0.8145531ng in kilograms? 0.0000000000008145531 How many nanometers are there in 620.4072m? 620407200000 What is 927.9461 milligrams in micrograms? 927946.1 What is fifteen quarters of a tonne in kilograms? 3750 Convert 48.80761ng to tonnes. 0.00000000000004880761 How many milliseconds are there in 58673.73 microseconds? 58.67373 What is four fifteenths of a hour in minutes? 16 What is 5.916833nm in meters? 0.000000005916833 What is 51371.59 nanometers in centimeters? 0.005137159 What is 7/4 of a litre in millilitres? 1750 How many hours are there in 7/2 of a day? 84 How many
{ "pile_set_name": "DM Mathematics" }
273 1356059.419 Work out -2596166663786 + 1. -2596166663785 Total of -20626.51039429 and -0.09. -20626.60039429 Calculate -2645263927335 - -3. -2645263927332 Calculate 31937.0788 - -1459150. 1491087.0788 What is -4 plus 340325981340.55? 340325981336.55 Calculate 527697219506 - 3. 527697219503 Total of 0.0930149 and 185960. 185960.0930149 What is 0.06 less than -232246679203885? -232246679203885.06 What is 0.52438489354 minus 17? -16.47561510646 Add 3406692 and 18483.7. 3425175.7 What is -486612 less than -19449.2? 467162.8 Work out 301527 - -90212. 391739 Work out 19.233606 - 566239. -566219.766394 Calculate -65021.3667 - 28.71. -65050.0767 What is -306650945164 take away -13.9? -306650945150.1 Work out -53.6 + -1363.4842. -1417.0842 Subtract -3569.432905 from -9. 3560.432905 Put together -126132795137 and -9. -126132795146 Work out -1.01539 + -66224016. -66224017.01539 Calculate 24.9797547 + 94. 118.9797547 Work out -5 - 207270596548806. -207270596548811 1939 + 3617489899 3617491838 Subtract -773546 from -810436710. -809663164 Subtract -4.46719 from -469746837. -469746832.53281 What is 0.14 less than -0.182354793? -0.322354793 Add -0.0087 and -1214277796.801. -1214277796.8097 Put together 26.017704 and -19.48556. 6.532144 Work out 0.0190343948226 - 0.5. -0.4809656051774 Add 1 and 17460138675726. 17460138675727 Add -0.04 and -823708171812. -823708171812.04 6656515421375+3 6656515421378 What is -3 minus -5955.9683891? 5952.9683891 -1235 - -0.0759294413 -1234.9240705587 What is 219514233536 less than 0.3? -219514233535.7 What is 104 take away -387.660542052? 491.660542052 Sum -1 and -84448247472.48. -84448247473.48 Calculate -0.3 - -30139550.50796. 30139550.20796 Put together 480.5875 and 2443059. 2443539.5875 What is 5691786479 minus -0.24? 5691786479.24 9932684458677+0.06 9932684458677.06 What is -7.289343427 - -0.6? -6.689343427 Work out -316 - -73.68834258. -242.31165742 1.15+0.034921340904 1.184921340904 What is -383458.373 minus -545? -382913.373 What is 1038.3993 minus 123.792201? 914.607099 Put together -48803.4 and 46. -48757.4 Calculate 2875 + 15731248. 15734123 1266684+2111508 3378192 Put together 9872061838327 and -0.11. 9872061838326.89 Total of -902949.7 and -82.95975. -903032.65975 What is -0.2 + -82074730975? -82074730975.2 48520 - 298984.87499 -250464.87499 396515657+48 396515705 Add -99.45 and 919761579. 919761479.55 Subtract 65408687 from -662. -65409349 Add together 49058505.9 and 21265. 49079770.9 206.4 + -5534917.7848 -5534711.3848 -2.35 + -163097371153 -163097371155.35 Work out -3684868.8 - 31933. -3716801.8 Put together -145327728.97289 and 18. -145327710.97289 Sum -1060046 and 11626.4. -1048419.6 25752+160501371.8 160527123.8 Total of -4413557 and -208.533. -4413765.533 What is the distance between 948357 and -583.54? 948940.54 What is -732.674419 take away 1.7? -734.374419 What is 3.7 take away -145246.522785? 145250.222785 Sum 124119760 and -0.0666. 124119759.9334 Work out 221989853.03 - -0.012. 221989853.042 -2864+2183486188 2183483324 What is -3 less than 6.22780770058? 9.22780770058 What is -14423 + 13148.438? -1274.562 Put together 20 and -45977750347199. -45977750347179 Add 0.19223 and 2067024667. 2067024667.19223 What is 174 - 30346315983? -30346315809 14553865+7.611 14553872.611 Work out -26.1 - 1675522049. -1675522075.1 What is 0.082552 plus 592230.12? 592230.202552 What is the difference between 1.21 and 23591.65957159? 23590.44957159 Total of -1.09 and -30896.50441354. -30897.59441354 1.6 - -106475.15879 106476.75879 5085083339744 - -26 5085083339770 What is 5462207 minus -57385? 5519592 Sum 3.00288 and 149.3619. 152.36478 Put together -178452501 and -3031938. -181484439 Add together 33 and 50508997437104. 50508997437137 Subtract 2 from -154336909626. -154336909628 What is 1303653.045237 take away -0.39? 1303653.435237 Calculate 4.166740251157 + 45. 49.166740251157 302096092835355 + 2 302096092835357 What is -487 less than -21600579519? -21600579032 What is 9509895332 - -239? 9509895571 -557047016.565 - 0.06 -557047016.625 Put together 231985 and 95050923. 95282908 Calculate 27.2 - 2234034.573. -2234007.373 What is the difference between 2872398831.8 and -65? 2872398896.8 -1+-8194315078.05 -8194315079.05 Work out 2.999678888 + 24.08. 27.079678888 What is 2468024.6806 take away -3.74? 2468028.4206 What is -0.3 - -104.11491837236? 103.81491837236 What is the distance between 291 and -28867860.437? 28868151.437 Put together -28.884562451192 and -11. -39.884562451192 What is the distance between 5.5790781 and -1868230? 1868235.5790781 Work out -0.0450911827691 + 0.1. 0.0549088172309 Sum -4172627.38 and 52.4219. -4172574.9581 Add together -12.54 and -12474283798. -12474283810.54 Add together -265037.1842 and 185. -264852.1842 What is the difference between 154680 and -234083058? 234237738 What is 209.0251660143 - 5? 204.0251660143 Calculate -63061 - 215.6786. -63276.6786 Work out 1 + 325105843073. 325105843074 -0.931 + -5049483.46 -5049484.391 Sum -84073586339984 and 0.3. -84073586339983.7 Work out -9 - 1824647408066. -1824647408075 What is the distance between -60731 and -5106037195? 5105976464 Total of 0.3948698586 and -384.17. -383.7751301414 Calculate -45687628483 - 8. -45687628491 Work out 19.7790897944 + 3.1. 22.8790897944 Work out -0.06 + -740.746813909. -740.806813909 What is -102564.57 minus -13719? -88845.57 Add 6.33 and 9.61411221. 15.94411221 Work out 0.6 + -9817194.06082. -9817193.46082 Calculate 4.67 + 6821705952. 6821705956.67 Work out 0.00968 - 716.218304. -716.208624 What is 14681059 - -52014847? 66695906 What is 11.87130949 minus -49? 60.87130949 Total of 2.1912 and -8643485. -8643482.8088 What is the distance between -12340.20159 and -2.72? 12337.48159 Add together -25221.2812 and 0.5249. -25220.7563 What is the difference between 2357.8 and 1.71769994? 2356.08230006 What is 124148260539 less than -3? -124148260542 What is the distance between -2866 and 107512.1504? 110378.1504 What is -9530729714 + -0.103? -9530729714.103 What is -7817571170 take away 1.4? -7817571171.4 Calculate 14.077939 - -0.8753. 14.953239 Put together 3778168951 and 0.0602. 3778168951.0602 Add together 4 and 109368207835.15. 109368207839.15 4270.7+-32944775.5 -32940504.8 Calculate 30085248 - 2.91878. 30085245.08122 What is 143373.2 - 221044? -77670.8 Calculate -86398072.056 - -0.06. -86398071.996 0.041027 - -6824.184 6824.225027 What is the difference between -101735947350 and 0.1? 101735947350.1 What is -0.09901644 less than 162691? 162691.09901644 What is 123845621 + 9.9? 123845630.9 What is -1028341 minus -48386.7906? -979954.2094 What is -40303 less than -0.9101685? 40302.0898315 201607940382793 + 2 201607940382795 What is the difference between -50 and -178.171149151? 128.171149151 What is -39480338020 - -0.7? -39480338019.3 Put together -0.4 and -31689412.56632. -31689412.96632 Total of -1504342062 and -566. -1504342628 What is the difference between 207 and 21296387479.7? 21296387272.7 What is 201674.4 plus 3625? 205299.4 What is -0.2811 take away -94253600046? 94253600045.7189 Work out 16 + 128447.457. 128463.457 -280281159886 - -21 -280281159865 Add -19.2012142323 and 0.0286. -19.1726142323 Total of -1464 and 9469585.9735. 9468121.9735 What is -2772086 minus -39860442? 37088356 What is the distance between -504 and 1021323938.4? 1021324442.4 -0.175935891 - -29.50262 29.326684109 Add -38.91549 and 7097785. 7097746.08451 Work out -12.0556 + 23237522. 23237509.9444 What is 1770560.852 minus 79? 1770481.852 What is -743.85671 take away 2.295? -746.15171 What is -7 + -137138115.0311? -137138122.0311 What is -14.66 take away 1543902145? -1543902159.66 Subtract -6032 from -867482.3. -861450.3 Add -11 and -0.00846576536141. -11.00846576536141 What is -18.459766714 take away 461? -479.459766714 What is the distance between 426915.225 and -33187? 460102.225 Add together 25409068194455 and -0.2. 25409068194454.8 What is 118.777 plus -4466903? -4466784.223 Calculate -469 + 91034716. 91034247 What is -0.71 plus -3548083640? -3548083640.71 Total of -33192858 and -0.0984226. -33192858.0984226 Calculate -0.349 + -1075523.16706. -1075523.51606 Work out 4.63597857 - 16.8. -12.16402143 What is 8 - -7594440256593? 7594440256601
{ "pile_set_name": "DM Mathematics" }
n. -3 Let o = 2739 + -2737. Solve -n = 2*f - 4, -41*n = -44*n - f + o for n. 0 Suppose 3*y + 4*j = 9, 0 = 24*y - 22*y - 3*j - 6. Suppose -5*t + 22 = -2*n, -33*t = -28*t + y*n - 17. Solve 2*o - t = 5*o - h, 4*o = -4*h + 16 for o. 0 Suppose 0 = -21*n + 1663 - 466. Let z be n/38*(0 + 4). Solve -c = 4*t + 7, 4*t + z*c = 2*c - 16 for t. -1 Let s(b) = 5*b - 186. Let f(d) = 5*d - 188. Let a(c) = 3*f(c) - 2*s(c). Let q be a(39). Solve 4*z - 5*n = -q, 2 = -2*z - 3*n - 5 for z. -2 Let l = -2034 - -2039. Solve -l*i - 5*m = 40, 0 = -2*i + 5*m + 19 for i. -3 Let l = 40 + -49. Let c(i) = i**2 + 13*i + 40. Let t be c(l). Solve 5*y = 4*g - 10, -t*y = -2*g + 9 - 1 for g. 0 Let j be 1/3 + 55/(-30)*-20. Suppose -3*u + j = -8. Solve -3*f + u = -3*x + f, -3 = -f for x. -1 Suppose 2123*y = 2071*y + 208. Solve y*t + 21 = 5*q, -30*t + 25*t = -4*q + 24 for q. 1 Suppose 5*t - 23 = -m, -3*m + 4*m + 4*t - 19 = 0. Suppose 2*v = -6 - 4, v = m*y - 17. Solve -4*p + 2 = -3*a, y*p = -5*a - 6 - 8 for p. -1 Suppose 0*u - u + 3 = 0. Suppose -u*z + 7 = -2*z. Suppose -46*a = -144 - 178. Solve -40 = 5*b - 5*h, -3*h - z = -b - a*h for b. -5 Suppose 4*s = 20, -5*w - s = -10*w - 25. Let z be (-1 - w)/(1/2). Let r be (2 + -1)*(-1 + z). Solve 1 = -r*l - 3*y + 5, 3*l + 3*y = 0 for l. 2 Suppose 216 = 921*x - 903*x. Solve -5*b = o + 18, 7*b - 6*b + x = -3*o for b. -3 Suppose -84*u + 3*j + 11 = -82*u, 9 = 3*j. Solve 0 = -3*z - 9, m = -12*z + 15*z + u for m. 1 Suppose 5*j - 113*q + 112*q = 72, -11 = -3*j - 4*q. Solve -5*h - 38 = -5*x - j, -3*h = 15 for x. 0 Suppose 33*n = 38*n - 10. Suppose b + 1 + n = -5*g, 2*g = b - 25. Suppose 8 = b*p - 13*p. Solve -4*k - 17 = 5*s, p*k - 4 = -0 for s. -5 Let g be 15*1/(-2)*(-8)/(-12). Let o be (-5 - g)/(3 - 1). Solve h + 3 - 2 = v, 3*h + 5*v + 35 = o for h. -5 Let z = 89 - -4. Suppose 5*d = -15, 3*r - 45 - z = 2*d. Let t = r - 40. Solve -4*b + 22 = -2*b + t*h, 3*h = 2*b - 1 for b. 5 Let i(b) = -7*b - 28. Let m be i(-42). Let l = -251 + m. Solve -3*f - l = 0, -3*f = 6*u - u + 20 for u. -1 Suppose -75*r = -38*r - 2331. Suppose 33*w = r*w - 300. Solve 3*p = n + w, 0 = -4*n - p + 5*p for n. 5 Suppose 223*p + 135 = 228*p. Suppose 124 = p*c + 4*c. Solve 12 - 4 = -c*m, 5*x = -3*m + 14 for x. 4 Suppose 2*j - c = -4, -2*c + 3 + 5 = 0. Suppose j = b - 10 + 8. Solve -2*h - 4*f - 2 = b, -4*h - 8 = -f for h. -2 Suppose -201*c - 8 = -202*c. Let g = 9 + 7. Let k be (-45)/18*g/(-10). Solve -20 - c = -4*f + k*h, -5*f = 4*h - 8 for f. 4 Let n = 8 + -33. Let k(h) = h**2 + 25*h - 16. Let g be k(n). Let m be ((g/7)/4)/(8/(-28)). Solve 8*j = 3*j + a, -m*j + 4*a - 18 = 0 for j. 1 Suppose -56*h = -43*h + 117. Let b be h/(-6) - 35/(-10). Solve -2*a + 9 = b*x - 2*x, 3*x - 9 = -3*a for a. 0 Let s = 159 - 131. Suppose -p = 23 - s. Solve 5*l = -p*o - 30, -2*o + 0 = -l + 6 for l. -2 Let w = -19 - -24. Let s(z) = 2*z**2 + 43*z - 660. Let b be s(-32). Solve 2*d - b = 2*q, -3*d = -4*q - 17 - w for q. -4 Suppose 24*z - 29 - 67 = 0. Solve -s = 3*a - 7, 3*a = -2*s + z*a - 7 for s. -2 Suppose -5*y + 4*n - 235 = 0, -4*y + 0*n - 167 = n. Let t(o) = 4*o**2 - 72*o + 306. Let h be t(5). Let v = h + y. Solve -q - v*q + 21 = -3*p, -q = p for q. 3 Let y be (-464)/(-28) - 9/(-21). Suppose f = -51 - y. Let t = f + 69. Solve 0 = -4*v - 5*s + 33, -4*v + 5*s - t = 16 for v. 2 Let g be (6 - (-176)/24) + (-2)/6. Let j = 15 - g. Solve -4*n + 5*d = 21, -3*d + 4*d = j*n + 9 for n. -4 Suppose 36*l - 24*l + 60 = 0. Let x(o) = o + 1. Let y be x(l). Let w be y/(-5)*(-5)/1 + 16. Solve w = -4*q + 2*f, 1 + 1 = f for q. -2 Let j(q) = q**3 + q**2 + 1. Let d be j(0). Let y be -8*(48/(-128))/((126/(-30))/(-7)). Solve 0 = -4*v + y*i - d, -3 = -3*i for v. 1 Let l = 10 + -7. Suppose 0 = -s + 4*z - 8 + 5, 5*s = z + 61. Solve 2 = -w + 5*h, -h = 3*w + l*h - s for w. 3 Let n be (5/2)/(1710/2052). Solve n*f + d - 12 = 0, -63*f + 59*f + 3*d = -29 for f. 5 Let l = -1717 + 1723. Solve 2*v + o + 33 = 44, -2*o = -l for v. 4 Suppose -3*b = 4*d - 29, d = 5*b - 4*d + 10. Solve b*u = 15, -3*l + 40 = 2*l + 4*u for l. 4 Suppose -5*k + 1108 = 1083. Solve 4*n + k*f - 3 = 4, -5*n + 12 = 3*f for n. 3 Suppose 3*l = -3*m + 138, -2*l = -0*l + 4*m - 108. Solve 33*f - l*f + 28 = 3*v, 3*f + 5*v = 20 for f. 5 Let x be 572/(-715) + (859/5 - (-2 + 0)). Solve -5*y = 3*r + 20, -r + 8 = x*y - 175*y for y. -4 Let x(y) = -4*y + 4 - 3*y**3 + 3*y**3 + 9*y**2 - 2*y**3 + 4*y**3. Let o be x(-5). Let j be 147/35 + o/5. Solve j*h - 4 = -i - 15, -2 = -5*i - h for i. 1 Let r be 29 + (6/(-22) - 4223/1133). Solve -10*g = -13*g + z + 5, -r = 3*g + 5*z for g. 0 Suppose -75*k + 29*k = -29*k - 442. Solve 9 = i + 3*b + 7, 4*i + k = 5*b for i. -4 Let j(v) = -2*v**3 + 42*v**2 + 19. Let r be j(21). Solve -3*t + 14*q - r = 12*q, 2*t - 2*q + 14 = 0 for t. -5 Let n = 671 + -632. Suppose -n*m = -14*m - 50. Solve -m*d = -3*z + 1 - 2, -d - 10 = 2*z for z. -3 Let h(s) = 2*s**2 + 9*s - 59. Let g be h(4). Suppose -11*z - 6 = -8*z - 2*k, -3*k + g = -4*z. Solve -3*p - 2*p - 10 = -2*q, -5*q = z for p. -2 Suppose 0 = -4*q - 2*g + 2, -71 + 75 = -q - 2*g. Solve -4*f + 2*k + 7 = 19, -2*k = q*f + 18 for f. -5 Suppose 3*u - 5*p + 518 = 0, 4*p = -4*u + 7*u + 520. Let x = -173 - u. Solve -x*f + 11 = a, 0 = 2*a + 3*a + 3*f + 5 for a. -4 Let o(a) = a**2 - 19. Let d be o(4). Let y(c) = -c**2 - 3*c + 2. Let q be y(d). Solve 0 = -2*h + 5*v - 5, -2*h + v - 19 = q*h for h. -5 Suppose 12*m - 8*m - 48 = 0. Suppose -m*z = -9*z - 207. Let o be (-3)/6 + (-3)/((-18)/z). Solve -2*u = -5*j - 10 - 5, -3*u + o = 4*j for u. 5 Let f be (3 - 30/12)*14. Suppose -143 = -f*k - 4*k. Solve 5*n - 3*n + 5*r = k, 4*r = 12 for n. -1 Let p(c) = c**2 + c - 1. Let k(w) = w**3 + 7*w**2 - 2*w - 3. Let n(x) = -k(x) + 3*p(x). Let d be n(-5). Solve f - 3*i - 1 = -4*f, d = 2*f + 5*i - 19 for f. 2 Let v(b) = -b**3 + 9*b**2 - 8. Let n be v(7). Let z = n - 81. Suppose 3*t - 7 = -2*j, 5*j + 3*t - z - 4 = 0. Solve 2*k = 4*m, 3*k + 7*m = j*m - 22 for k. -4 Let f be 12/(-16)*((-4)/34 - 66/17). Solve o = f*v - 11, -2*v + 7 = -2*o - 3 for v. 3 Suppose 34 = 3*q - 4*h + 40, q = 4*h - 10. Let y = -190 - -190. Solve y = -c + z + 1, -4*z - q = -6 for c. 2 Let r(p) = p**2 - 2*p - 20. Let q be r(-4). Solve -4*i = -q*y - 7*i - 3, 0 = i + 1 for y. 0 Let m(a) = a**3 - 2*a**2 + 9. Let h be m(0). Let y be (h + 13)/(1/2). Let i = 49 - y. Solve -5 = -b - i*t + 25, 0 = -t + 5 for b. 5 Let o be -1 + (-36)/(-28) + 52/14. Let i = -14 - -18. Solve 4*v + o*b = i, -2*b - 3 = 4*v - 5*b for v. 0 Suppose -9*x = 18 + 36. Let t be 8 + (x - (-2)/2). Solve 0 = -3*f - q + 10 + 2, t*f + 3*q - 12 = 0 for f. 4 Suppose -4*a + 429 + 435 = 0. Let s be (2/(-6))/((-9)/a). Let k(j) = j**2 - 7*j - 6. Let p be k(s). Solve -l + r + 5 = 2*l, -2*l + p*r = 2 for l. 3 Let c(q) = 338*q - 8363. Let f be c(25). Solve f*u = 5*a + 83*u, -a + 3*u = -11 for a. -4 Let x be (-1*3)/((-820)/40 - -19). Solve 20 = -3*b - 2*v - x, -4*b = 5*v + 41 for b. -4 Let s be ((-4)/7)/((-1464)/(-168) - 9). Solve 5*o + y + 45 = 44, -3 = -s*o + 3*y for o. 0 Let t be (0 + -15 - 1)/((-8)/12). Suppose 65 = -19*i + t*i. Solve -29 = -4*u - 5*o, -2*o + 0*o + i = 3*u for u. 1 Let n(s) = s**3 + 7*s**2 - 11*s - 96. Let v be n(-6). Solve -2*f = -4*k + 8*k - v, -k + 14 = -2*f for f. -5 Let b = 82 + -78. Let u = 1202 + -1200. Solve -u*h - 3*j = -j + 14, -h + b*j = -8 for h. -4 Suppose 291*k + 2 = 289*k + 2*a, -5 = -k - 5*a. Solve k = 5*x + 26 - 1, 5*t = 2*x - 15 for t. -5 Let f(b) = -b + 26. Let n be f(-4). Suppose -2*y = 3*y - n. Solve 11 = 4*p + 3*c, -y = 2*p - 3*c - 25 for p. 5 Suppose 0 = -z - 3*m - 9, -5*z - 43*m = -38*m + 5. Solve -25*k + 26*k + 3 = z*l, -5*l = -5*k - 15 for k. -3 Let d be (-8)/28*525/45*6/(-4). Solve 8 = 2*u - m, d*m + 10 = 5*u - 5 for u. 5 Let v be 0*4/48*4. Suppose -4 = -o, -2*g - o + 6*o - 4 = 0. Suppose d = 5*d - g. Solve 2*w = r - 6, v = -5*w - d*r + r - 22 for w. -4 Suppose -2*b + 53 - 97 = -4*s, -5*s = b - 34. Solve 0 = 3*f - s*q + 3*q + 25, -3*f - 4*q + 20 = 0 for f. 0 Suppose 14*o + 5191 = 5233. Solve 7*f - 5*f + o*l = -6, -5*l = -3*f + 10 for f. 0 Suppose -61 - 27 = -22*u. Solve u*g = 8, -s - 13 = 4*s - 4*g for s. -1 Suppose 4*u - 4*q - 46 = -3*q, 4*u - 5*q - 54 = 0. Let n be (2/u)/(14/154). Solve -f - 4 = m, m - 6*m - 20 = n*f for f. 0 Let b be -2*14*92/16. Let r = 163 + b. Solve 2*n
{ "pile_set_name": "DM Mathematics" }
to base 12. -45 Convert -206 (base 12) to base 6. -1210 Convert -2 (base 3) to base 13. -2 4 (base 15) to base 5 4 -2b (base 12) to base 2 -100011 -60 (base 12) to base 3 -2200 68 (base 12) to base 6 212 1000110 (base 2) to base 11 64 What is -1011 (base 4) in base 8? -105 Convert 7 (base 11) to base 2. 111 Convert 9 (base 11) to base 6. 13 What is 134 (base 16) in base 2? 100110100 Convert -2 (base 8) to base 11. -2 Convert -12 (base 6) to base 8. -10 Convert 15 (base 9) to base 3. 112 Convert 178 (base 13) to base 16. 10c Convert -b (base 16) to base 5. -21 Convert 221 (base 4) to base 15. 2b What is -76 (base 8) in base 6? -142 3 (base 8) to base 5 3 2010 (base 3) to base 4 321 -6 (base 10) to base 16 -6 What is 104 (base 9) in base 10? 85 What is 304 (base 6) in base 5? 422 Convert -2 (base 13) to base 2. -10 -29 (base 13) to base 5 -120 Convert -5 (base 9) to base 11. -5 Convert 13 (base 15) to base 11. 17 -1110 (base 2) to base 12 -12 e1 (base 16) to base 15 100 What is 62 (base 16) in base 5? 343 Convert -31 (base 4) to base 16. -d What is 3 (base 11) in base 3? 10 What is 101 (base 2) in base 14? 5 -12 (base 6) to base 3 -22 0 (base 8) to base 14 0 Convert -a (base 14) to base 12. -a What is 51 (base 13) in base 11? 60 Convert 3 (base 9) to base 6. 3 Convert -3 (base 8) to base 15. -3 Convert -7 (base 9) to base 4. -13 -91 (base 10) to base 14 -67 Convert 3 (base 10) to base 12. 3 -2 (base 3) to base 12 -2 Convert -3 (base 11) to base 6. -3 Convert 3 (base 10) to base 14. 3 What is 0 (base 3) in base 15? 0 What is -1000101 (base 2) in base 4? -1011 Convert -20 (base 8) to base 5. -31 Convert 1211 (base 4) to base 9. 122 What is 11 (base 16) in base 12? 15 1223 (base 5) to base 16 bc What is -14 (base 8) in base 13? -c 3 (base 10) to base 6 3 What is -1 (base 2) in base 8? -1 -7 (base 9) to base 12 -7 26 (base 10) to base 8 32 What is -63 (base 15) in base 2? -1011101 Convert -223 (base 4) to base 3. -1121 47 (base 8) to base 16 27 -1 (base 10) to base 13 -1 -277 (base 8) to base 5 -1231 Convert 5 (base 11) to base 16. 5 14 (base 9) to base 3 111 -10 (base 3) to base 16 -3 -65 (base 12) to base 2 -1001101 What is -12 (base 11) in base 3? -111 Convert -74 (base 8) to base 10. -60 Convert 4 (base 8) to base 11. 4 Convert 45 (base 15) to base 4. 1001 111 (base 3) to base 10 13 -3 (base 6) to base 8 -3 10 (base 9) to base 13 9 -95 (base 13) to base 3 -11112 -3 (base 8) to base 10 -3 Convert -1101 (base 2) to base 4. -31 -2 (base 8) to base 2 -10 What is -49 (base 12) in base 15? -3c 3 (base 10) to base 16 3 What is 25 (base 6) in base 8? 21 What is 224 (base 5) in base 3? 2101 Convert 100 (base 3) to base 6. 13 111111 (base 2) to base 9 70 Convert -14 (base 14) to base 5. -33 -2 (base 15) to base 2 -10 -3 (base 15) to base 8 -3 -2 (base 10) to base 14 -2 -4 (base 6) to base 8 -4 Convert 1 (base 9) to base 11. 1 -3 (base 8) to base 9 -3 Convert -4 (base 11) to base 9. -4 What is 0 (base 2) in base 6? 0 Convert 36 (base 8) to base 13. 24 Convert -133 (base 4) to base 15. -21 What is -9 (base 11) in base 10? -9 85 (base 15) to base 13 98 What is -3 (base 4) in base 11? -3 What is -18 (base 16) in base 14? -1a Convert 79 (base 13) to base 6. 244 Convert 20 (base 5) to base 10. 10 134 (base 6) to base 3 2011 -3 (base 9) to base 10 -3 Convert 19 (base 13) to base 4. 112 Convert 2 (base 16) to base 4. 2 What is 202 (base 3) in base 2? 10100 -3 (base 9) to base 2 -11 -20 (base 4) to base 14 -8 1000 (base 2) to base 13 8 -23 (base 6) to base 10 -15 -245 (base 10) to base 9 -302 -20b (base 14) to base 9 -487 2 (base 5) to base 8 2 Convert 38 (base 9) to base 13. 29 11 (base 7) to base 2 1000 What is 1 (base 2) in base 11? 1 -1022 (base 3) to base 10 -35 Convert 300 (base 4) to base 10. 48 What is -a (base 12) in base 5? -20 What is -12 (base 5) in base 8? -7 2 (base 8) to base 5 2 What is 4 (base 13) in base 11? 4 -2 (base 10) to base 15 -2 -20 (base 10) to base 7 -26 Convert 5 (base 9) to base 11. 5 What is -2033 (base 4) in base 16? -8f 21 (base 7) to base 15 10 0 (base 2) to base 6 0 What is -26 (base 10) in base 3? -222 What is -225 (base 11) in base 7? -533 Convert 342 (base 5) to base 2. 1100001 -42 (base 10) to base 12 -36 What is 433 (base 6) in base 5? 1130 -10 (base 14) to base 4 -32 What is 23 (base 11) in base 3? 221 Convert b7 (base 13) to base 12. 106 What is -153 (base 7) in base 9? -106 Convert 104 (base 16) to base 14. 148 Convert -21 (base 15) to base 9. -34 Convert 3 (base 14) to base 6. 3 What is 1 (base 6) in base 16? 1 What is -10 (base 12) in base 10? -12 1220 (base 4) to base 9 125 Convert -23 (base 5) to base 11. -12 What is 2 (base 4) in base 5? 2 What is 3333 (base 4) in base 12? 193 -1 (base 12) to base 11 -1 2 (base 13) to base 12 2 13 (base 6) to base 4 21 3 (base 14) to base 12 3 What is -49 (base 14) in base 13? -50 Convert -a4 (base 15) to base 10. -154 -200 (base 4) to base 9 -35 Convert -102 (base 3) to base 2. -1011 What is -33 (base 11) in base 6? -100 -1 (base 13) to base 9 -1 Convert -5 (base 10) to base 15. -5 0 (base 15) to base 12 0 67 (base 14) to base 10 91 224 (base 8) to base 10 148 Convert -246 (base 12) to base 2. -101010110 Convert 1 (base 3) to base 2. 1 56 (base 12) to base 8 102 Convert -128 (base 11) to base 15. -a1 What is -305 (base 7) in base 11? -129 Convert -28 (base 12) to base 14. -24 What is -8 (base 16) in base 11? -8 Convert 32 (base 10) to base 3. 1012 What is -1 (base 14) in base 13? -1 Convert -11110 (base 2) to base 8. -36 What is 1110 (base 2) in base 14? 10 -119 (base 10) to base 9 -142 What is -111 (base 2) in base 10? -7 -16 (base 13) to base 5 -34 What is 46 (base 7) in base 13? 28 What is 25 (base 8) in base 15? 16 Convert 11010100 (base 2) to base 3. 21212 What is -3 (base 11) in base 13? -3 What is 20 (base 4) in base 11? 8 What is -2 (base 3) in base 8? -2 What is 9 (base 16) in base 14? 9 What is 0 (base 11) in base 8? 0 What is 35 (base 6) in base 13? 1a Convert -40 (base 7) to base 14. -20 What is -28 (base 10) in base 8? -34 What is -5 (base 10) in base 16? -5 -13 (base 14) to base 6 -25 What is 52 (base 7) in base 3? 1101 -1 (base 10) to base 12 -1 Convert -14 (base 7) to base 14. -b What is -1211 (base 3) in base 14? -37 Convert 1 (base 14) to base 15. 1 What is 7 (base 10) in base 15? 7 Convert 52 (base 7) to base 11. 34 What is a3 (base 11) in base 15? 78 What is 30 (base 15) in base 3? 1200 What is 20120 (base 3) in base 9? 216 2 (base 3) to base 9 2 What is 0 (base 5) in base 9? 0 What is -1 (base 4) in base 14? -1 What is -121 (base 3) in base 4? -100 What is -10 (base 16) in base 10? -16 What is -1f (base 16) in base 9? -34 238 (base 10) to base 4 3232 4 (base 10) to base 4 10 What is -241 (base 7) in base 13? -9a What is 11 (base 10) in base 2? 1011 What is -13 (base 5) in base 13? -8 What is 46 (base 8) in base 4? 212 1 (base 9) to base 11 1 Convert 5 (base 16) to base 10. 5 Convert 3 (base 4) to base 6. 3 205 (base 11) to base 13 160 -4 (base 13) to base 15 -4 Convert -2 (base 14) to base 15. -2 Convert 16 (base 11) to base 10. 17 Convert 112 (base 7) to base 5. 213 What is -5 (base 12) in base 10? -5 Convert -1 (base 9) to base 8. -1 What is 13 (base 4) in base 15? 7 Convert 4 (base 8) to base 13. 4 What is -3 (base 10) in base 7? -3 What is -a (base 15) in base 16? -a What is -1 (base 6) in base 8? -1 8 (base 13) to base 15 8 -4 (base 15) to base 12 -4 5 (base 16) to base 15 5 -3 (base 15) to base 12 -3 Convert -3 (base 5) to base 11. -3 1 (base 7) to base 10 1 What is 77 (base 11) in base 7? 150 What is 23 (base 13) in base 14? 21 Convert -2 (base 13) to base 9. -2 5 (base 6) to base 4 11 2 (base 11) to base 14 2 What is -21 (base 13) in base 2? -11011 Convert -e (base 16) to base 13. -11 Convert -100 (base 2) to base 11. -4 -101 (base 11) to base 16 -7a What is 2 (base 12) in base 5? 2 What is -1a2 (base 12) in base 10? -266 What is -1 (base 2) in base 6? -1 Convert -2 (base 7) to base 9. -2 Convert -5 (base 9) to base 3. -12 Convert 22 (base 3) to base 7. 11 Convert -12011 (base 3) to base 7. -256 8 (base 15) to base 3 22 Convert -1 (base 4) to base 16. -1 What is 122 (base 6) in base 15? 35 Convert -13 (base 15) to base 5. -33 What is 32 (base 8) in
{ "pile_set_name": "DM Mathematics" }
rt(64)/sqrt(128) + sqrt(8))). -60*sqrt(5) - 4 Simplify ((-2*sqrt(2057)*5 - sqrt(2057))**2*-2 - -5*(-1 + sqrt(2057)*-1)**2) + -3. -487507 + 110*sqrt(17) Simplify (sqrt(1936) - -2*sqrt(1936)*-5)/((sqrt(88)*-1)/sqrt(11) + sqrt(288)*2). -9*sqrt(2) Simplify -1*(2*((1 + sqrt(468))**2 + 3) + (-5*sqrt(468)*2*-1)**2). -47744 - 24*sqrt(13) Simplify (sqrt(243) - (sqrt(243)*-2 + sqrt(243)) - sqrt(243))/(sqrt(72)/(sqrt(16)/sqrt(2))) - (sqrt(48)*-5 + -5 + -1). 6 + 23*sqrt(3) Simplify (sqrt(1575) - sqrt(56)/(sqrt(40)/sqrt(5)) - (sqrt(252) - (-5 + -1 + sqrt(252))))**2. -168*sqrt(7) + 1408 Simplify (sqrt(2299) + 1)**2*2 + sqrt(152)/(sqrt(8)*-2)*3. 85*sqrt(19)/2 + 4600 Simplify -4 + 1 + ((0 + sqrt(1377))**2*6 + sqrt(1377) - sqrt(1377)) + -5. 8254 Simplify ((sqrt(891) - sqrt(891)*1) + sqrt(891) + sqrt(891) + 3 - ((sqrt(891) - (sqrt(891) + 1)) + 4))**2 + -4 + -2. 3558 Simplify 3 + 2 + sqrt(30)/(5*sqrt(6) + sqrt(6) + sqrt(6) - sqrt(6)) + sqrt(1000)/sqrt(2). 5 + 61*sqrt(5)/6 Simplify ((sqrt(231)/(-4*sqrt(7)*2))/(sqrt(300) + 1*(sqrt(300) + sqrt(300)*-2) + sqrt(300)))**2. 11/6400 Simplify (sqrt(108)/(sqrt(18)/sqrt(3))*6)/(6*sqrt(24)*-6). -sqrt(3)/12 Simplify 4 + ((sqrt(576)/(sqrt(12) + sqrt(48)))/sqrt(8))/(sqrt(15)/(-4*-1*sqrt(5))). 4*sqrt(2)/3 + 4 Simplify ((2*sqrt(187)*-1 - sqrt(187) - sqrt(187) - sqrt(187) - sqrt(187))*-3)/(sqrt(66)/(sqrt(294)*2)). 252*sqrt(17) Simplify sqrt(170)/(sqrt(60)/(sqrt(6) - sqrt(6)*-1))*4 - (1*sqrt(425) + ((sqrt(17) + 3)*6)**2). -936 - 213*sqrt(17) Simplify -6*6*(2 + sqrt(19) + sqrt(228)/(sqrt(12)*2 - sqrt(12)) + -3). -72*sqrt(19) + 36 Simplify -3*(sqrt(170) + (-1*sqrt(170) + sqrt(170))*-6 + -4*(-1*sqrt(170) + sqrt(170)))/(sqrt(360)*2 - (-6*sqrt(160) - sqrt(10))). -3*sqrt(17)/37 Simplify (2*sqrt(3) + 2)*-3 - (-2 + sqrt(192))*-1. -8 + 2*sqrt(3) Simplify ((sqrt(187) + 3*-1*sqrt(187) + sqrt(187))*5)/(sqrt(880)/sqrt(5) + 1*sqrt(1584)). -5*sqrt(17)/16 Simplify (0 + ((sqrt(1100) - (0 + sqrt(1100) - sqrt(1100)))*2 + 0)**2*4)*-1. -17600 Simplify ((sqrt(234)*-1 + sqrt(234))/sqrt(9))/sqrt(2) + -5 - -4*(sqrt(1573)*-2 + sqrt(1573))*3. -132*sqrt(13) - 5 Simplify (sqrt(605) + 2 + sqrt(605) + sqrt(605) + -5 - (2 + sqrt(605) + -1))**2*-4. -9744 + 704*sqrt(5) Simplify (((sqrt(832) - ((sqrt(832) - (-1 + sqrt(832))) + -3)) + -1*sqrt(832)*5)*3*-6)**2. -41472*sqrt(13) + 4314384 Simplify (-2*(sqrt(7) + (-2*sqrt(77))/sqrt(11) + sqrt(7) - (sqrt(7) + sqrt(84)/(sqrt(36)/sqrt(3)))))**2*2*2. 448 Simplify -2*(sqrt(28) - (sqrt(252)*1)/sqrt(9))/(2*sqrt(324)). 0 Simplify ((sqrt(153) + (sqrt(153)*1 - sqrt(153)))/sqrt(3))/(sqrt(147)*1). sqrt(17)/7 Simplify -5 + 5*(1 + sqrt(176) + sqrt(176) - sqrt(176))*-5*1. -100*sqrt(11) - 30 Simplify (-1*(1 + (sqrt(176) + sqrt(176) + -3 + sqrt(176))*-5 + sqrt(176)))**2. -1792*sqrt(11) + 34752 Simplify ((sqrt(275) + 0 + -3)*-1)**2 - ((sqrt(1331) + 2 + sqrt(1331))**2 - (0 + sqrt(11)*-3)). -5044 - 121*sqrt(11) Simplify (-5*1*sqrt(110)*-1)/(3*sqrt(60)/(sqrt(6) + sqrt(18)/sqrt(3))) + 0. 10*sqrt(11)/3 Simplify -5*(sqrt(36)/(sqrt(540)/sqrt(5)) + (sqrt(225)*1)/sqrt(3))**2. -1280/3 Simplify (((0 + sqrt(300))*5 + sqrt(300))**2 - ((sqrt(3)*-3 + -1)**2 + 5))*2. -12*sqrt(3) + 21534 Simplify ((sqrt(120)/(sqrt(6)/sqrt(2)))/sqrt(10))/(sqrt(72) + -4*(sqrt(72) + sqrt(72)*-2 - sqrt(72)) + sqrt(72)). sqrt(2)/60 Simplify ((sqrt(286)/(sqrt(33)/sqrt(3)*-4 - sqrt(11)))/(sqrt(10)/(-5*(sqrt(5) - 2*sqrt(5)))))**2. 13 Simplify (-3*-4*(sqrt(176) - 2*sqrt(176)) + -1)**2. 96*sqrt(11) + 25345 Simplify ((4*sqrt(1078)*-1)/(1*sqrt(2156)))**2. 8 Simplify -2*(1*6*((1*sqrt(162) + sqrt(162))*-2)/sqrt(9))**2. -20736 Simplify 5*((6*(sqrt(245) + -1*sqrt(245)) - (sqrt(245) + -1)*2)**2 + 5). -280*sqrt(5) + 4945 Simplify 5*(sqrt(78) + 2*(sqrt(78) - sqrt(78)*-3))/(sqrt(6)*2*-1). -45*sqrt(13)/2 Simplify (sqrt(30) + sqrt(750)*5)/(sqrt(96) + sqrt(96)*1 + sqrt(96) + sqrt(6))*2. 4*sqrt(5) Simplify (-1 + 1 + sqrt(325) + -2)**2 - ((-1*sqrt(325) + 4 + sqrt(325))*-1)**2. -20*sqrt(13) + 313 Simplify ((sqrt(72)*-2*-4)/sqrt(6) - 3*(1 + sqrt(48)))**2 + -2. -24*sqrt(3) + 55 Simplify 3 + 3 + sqrt(1872) + 1 + -1 + (2 + sqrt(1872)*-3 + sqrt(1872))**2. -84*sqrt(13) + 7498 Simplify 2 + (sqrt(7) + sqrt(315)/sqrt(5))**2*2 + -2 + 3. 227 Simplify 4 + (sqrt(125) - (sqrt(125) + sqrt(125)*1)**2) + (sqrt(20)/((sqrt(4)*-3 - sqrt(4))*3))**2. -71419/144 + 5*sqrt(5) Simplify (-5*((-2*sqrt(99) - sqrt(99)) + sqrt(99)) - sqrt(99))/(sqrt(81) - (sqrt(81)*-1 + sqrt(81)))*-2. -6*sqrt(11) Simplify (sqrt(224) - (sqrt(224)*1 + sqrt(224) + sqrt(224))*-1)/(5*(sqrt(252) - -2*sqrt(252))). 8*sqrt(2)/45 Simplify 5*(1 + (sqrt(832)*-1*1)**2) + -5. 4160 Simplify (sqrt(2156)*-2 + sqrt(44) + 3*(-1*sqrt(44) + sqrt(44)) + sqrt(44))/(sqrt(16)/(-2*sqrt(36))). 72*sqrt(11) Simplify -2*(sqrt(7) - (-1 + sqrt(21)/sqrt(3))**2)*-6*-6*-1. -576 + 216*sqrt(7) Simplify (-2*sqrt(625)*-2 + sqrt(625) + sqrt(625))/((-2*sqrt(2205))/sqrt(9)). -15*sqrt(5)/7 Simplify (sqrt(176) - (-2 + sqrt(176)))*1 + 3*(sqrt(110) - 2*sqrt(110))/sqrt(10). -3*sqrt(11) + 2 Simplify (4*(-2 + sqrt(288))*3 + 2 + -1*(sqrt(288) - (sqrt(288) + -1*sqrt(288))))**2. -5808*sqrt(2) + 35332 Simplify ((sqrt(65) + sqrt(65) + (sqrt(65) - (((sqrt(65)*-1 + sqrt(65))*1 - sqrt(65)) + sqrt(65))))*6)/(sqrt(45)/(sqrt(1089)*1)). 198*sqrt(13) Simplify 2*(sqrt(15)/(-4*sqrt(6)/sqrt(2)) + (-1*sqrt(180) + 5)**2) + -4. -241*sqrt(5)/2 + 406 Simplify (4 + (sqrt(13) + -4 + sqrt(13) + sqrt(1053) - sqrt(104)/(sqrt(8)*4)))**2. 24037/16 Simplify 3*(sqrt(243) - (sqrt(243) + (sqrt(243) - (((-2*sqrt(243) + sqrt(243) + -1)**2 - sqrt(243)) + sqrt(243)))) - ((sqrt(243) + sqrt(243) + 0)*-6)**2). -104244 + 27*sqrt(3) Simplify ((sqrt(60)/sqrt(3)*3 - ((sqrt(20) - (sqrt(20)*2 + sqrt(20))) + 3))**2 + 4)*1. -60*sqrt(5) + 513 Simplify -4*(0 + sqrt(147) + sqrt(147) + 0)**2 + 3 + sqrt(147) + sqrt(147) + (sqrt(147) - (-1 + sqrt(147))*-5)**2. -406*sqrt(3) + 2968 Simplify 1*(-3 + -3 + sqrt(1872) + -3 + 5)**2. -96*sqrt(13) + 1888 Simplify ((sqrt(66) - -1*sqrt(66))*-3 + sqrt(66))/(sqrt(36)/sqrt(54)). -15*sqrt(11) Simplify (3 + (5 + sqrt(2448)*1 + (sqrt(2448) - (5 + sqrt(2448)*2 + sqrt(2448))))**2)*-5. -12255 Simplify (((sqrt(63))**2 - sqrt(7))*6 - (-3 + 2*sqrt(7))) + (1*sqrt(343) + sqrt(343) + sqrt(343) - (sqrt(77) + sqrt(77)*2)/sqrt(11)). 10*sqrt(7) + 381 Simplify (sqrt(39) + 2*sqrt(351) + sqrt(39) + (sqrt(390)*2 + sqrt(390))/sqrt(10))/(1*(sqrt(9)*-2)/sqrt(3)). -11*sqrt(13)/2 Simplify (sqrt(480)/(sqrt(8)*2))/sqrt(12) - (sqrt(240)/(-2*sqrt(6)))/sqrt(8). sqrt(5) Simplify -6*(sqrt(21) - (sqrt(147) - 2*sqrt(147))/sqrt(7))/(sqrt(75)*-2). 6*sqrt(7)/5 Simplify -2 + ((sqrt(22)*-2)/sqrt(11))**2 - sqrt(256)/sqrt(128). -sqrt(2) + 6 Simplify (sqrt(2299) + -1 + sqrt(2299) + -2)*-1 + (-2*sqrt(2299) + 2 + sqrt(2299))**2 + 3 + (0 + sqrt(2299) - sqrt(2299))**2. -66*sqrt(19) + 2309 Simplify (sqrt(38) + (sqrt(3078) - sqrt(3078)*-1) + sqrt(3078) + -2*sqrt(3078) + sqrt(3078))/((-2*sqrt(180) - sqrt(180))/sqrt(10)). -19*sqrt(19)/9 Simplify (-3*2*sqrt(135))/(sqrt(50)/(1*(sqrt(10)*3 - sqrt(10) - sqrt(10)))). -18*sqrt(3) Simplify (1*sqrt(325)*2)**2 + (sqrt(325) - (sqrt(325) - 3*(sqrt(325)*-5 + sqrt(325)))). -60*sqrt(13) + 1300 Simplify 5 + sqrt(108) + (sqrt(108) - (sqrt(108) + sqrt(108)*-5 + -1))**2 + sqrt(108) + 1 + -4 + -1 + sqrt(108) + -1 + sqrt(108). 84*sqrt(3) + 2701 Simplify -5*((sqrt(468) + -5*(0 + sqrt(468)) + sqrt(468) + 0 + -3)**2 + 5*(1*sqrt(468)*-2)**2). -67905 - 540*sqrt(13) Simplify (-4*sqrt(18)/sqrt(2))/(sqrt(9)/(sqrt(6)/sqrt(2))). -4*sqrt(3) Simplify (2 + sqrt(125)*-4 + sqrt(5))**2 - (3 + 3 + sqrt(80)). -80*sqrt(5) + 1803 Simplify (sqrt(132) - (-5*-1*sqrt(132) + sqrt(132)))/(sqrt(11) + sqrt(11) + (sqrt(99) - sqrt(11))*4) + -4 + 2. -2 - sqrt(3) Simplify 4*2*sqrt(13) + -5 + sqrt(13)*1 + 2 + ((1*-1*sqrt(65))/sqrt(5) + 2)**2. 14 + 5*sqrt(13) Simplify -3*3*(sqrt(3)*-1)**2 - (sqrt(198)/sqrt(275))/sqrt(6). -27 - sqrt(3)/5 Simplify ((-2 + 1 + sqrt(833))**2*-1 + 0)*-4. -56*sqrt(17) + 3336 Simplify (sqrt(22) - sqrt(242)/(sqrt(11)*4))/(sqrt(18)/(sqrt(9)*-4) - sqrt(2)). -3*sqrt(11)/5 Simplify (2*(sqrt(102) + (sqrt(102) + 1*sqrt(102) - sqrt(102))))/(sqrt(60)/(sqrt(40)/sqrt(4))) - (-4 + (sqrt(34) + sqrt(34)*2)/sqrt(2)*-2)**2. -628 - 44*sqrt(17) Simplify 2*(-1 + -1*sqrt(1377) + -1 + 3) + 3. -18*sqrt(17) + 5 Simplify sqrt(190)/(4*sqrt(70)/sqrt(7))
{ "pile_set_name": "DM Mathematics" }
picking 3 a when three letters picked without replacement from {q: 13, a: 6}. 20/969 Three letters picked without replacement from {h: 5, r: 1, g: 4, m: 4, x: 1}. What is prob of picking 1 m, 1 g, and 1 x? 16/455 Two letters picked without replacement from {o: 2, g: 1, m: 2, h: 1}. What is prob of picking 1 h and 1 o? 2/15 Calculate prob of picking 1 n, 1 o, and 1 c when three letters picked without replacement from {q: 3, o: 4, c: 7, n: 5}. 140/969 Three letters picked without replacement from aaalaaaaaaaaaaaaaaa. What is prob of picking 1 l and 2 a? 3/19 Calculate prob of picking 4 y when four letters picked without replacement from yyyyyyyj. 1/2 Calculate prob of picking 1 x, 1 k, and 1 m when three letters picked without replacement from mqrxnnrknnqk. 1/110 Four letters picked without replacement from ooppxopxpovoxvoop. Give prob of picking 1 v, 1 x, and 2 p. 3/119 Calculate prob of picking 4 e when four letters picked without replacement from eeeeeeeeeeeeege. 11/15 What is prob of picking 2 l and 1 m when three letters picked without replacement from {l: 9, m: 5}? 45/91 What is prob of picking 3 r when three letters picked without replacement from rrr? 1 Calculate prob of picking 1 w and 1 o when two letters picked without replacement from {q: 2, v: 2, w: 1, o: 6}. 6/55 Three letters picked without replacement from udufdvedeuuedv. What is prob of picking 1 e, 1 d, and 1 v? 6/91 Two letters picked without replacement from {n: 6, m: 4}. What is prob of picking 1 m and 1 n? 8/15 What is prob of picking 2 y and 1 u when three letters picked without replacement from yyammymzyazu? 3/110 Calculate prob of picking 2 v and 1 j when three letters picked without replacement from jvjvjjvvvj. 5/12 Four letters picked without replacement from dffdltffzffd. What is prob of picking 1 l, 1 d, 1 f, and 1 t? 2/55 Calculate prob of picking 1 i, 1 m, 1 q, and 1 p when four letters picked without replacement from {i: 2, n: 8, m: 1, q: 1, b: 1, p: 3}. 3/910 Calculate prob of picking 2 o and 1 w when three letters picked without replacement from lolwowwl. 3/56 What is prob of picking 1 c, 1 g, and 2 b when four letters picked without replacement from {c: 1, g: 2, b: 2, z: 2, k: 1}? 1/35 Four letters picked without replacement from vvcvccccccvcv. Give prob of picking 4 v. 1/143 Three letters picked without replacement from ssdsasssdsscwac. Give prob of picking 1 a and 2 d. 2/455 Two letters picked without replacement from oyoyozu. What is prob of picking 1 y and 1 z? 2/21 Calculate prob of picking 2 c and 2 m when four letters picked without replacement from {m: 8, c: 2}. 2/15 What is prob of picking 2 s when two letters picked without replacement from {p: 7, s: 6}? 5/26 What is prob of picking 1 p, 1 f, and 1 t when three letters picked without replacement from rftprrfrrppllptfttp? 20/323 Four letters picked without replacement from oaoaqqoooqqodoqoqqo. What is prob of picking 1 d, 2 a, and 1 q? 7/3876 Calculate prob of picking 1 k and 1 w when two letters picked without replacement from {k: 5, q: 1, x: 1, w: 9}. 3/8 Three letters picked without replacement from {z: 4, p: 6, a: 4}. What is prob of picking 1 z and 2 a? 6/91 Three letters picked without replacement from {w: 2, t: 7}. What is prob of picking 1 t and 2 w? 1/12 Calculate prob of picking 3 x when three letters picked without replacement from xxfxf. 1/10 Calculate prob of picking 1 k, 2 s, and 1 o when four letters picked without replacement from ssosoksoosoosko. 2/13 What is prob of picking 2 v and 1 g when three letters picked without replacement from grgvvvvppcvmr? 10/143 Three letters picked without replacement from uwlbllurwluroll. Give prob of picking 1 u and 2 r. 3/455 What is prob of picking 1 e and 1 o when two letters picked without replacement from {e: 5, b: 6, r: 1, x: 1, o: 2}? 2/21 Four letters picked without replacement from {r: 3, j: 3, o: 1}. Give prob of picking 1 j and 3 r. 3/35 Two letters picked without replacement from {e: 1, w: 5, t: 7}. What is prob of picking 1 w and 1 t? 35/78 What is prob of picking 1 q and 2 f when three letters picked without replacement from {f: 2, a: 1, w: 2, q: 6}? 2/55 Calculate prob of picking 1 c and 1 n when two letters picked without replacement from {j: 1, y: 4, c: 2, n: 1}. 1/14 Two letters picked without replacement from llbbbobsbbol. What is prob of picking 1 b and 1 l? 3/11 Four letters picked without replacement from {s: 4, j: 2, g: 3, x: 1, d: 4, w: 1}. Give prob of picking 2 s, 1 j, and 1 d. 16/455 What is prob of picking 3 e when three letters picked without replacement from {e: 5, p: 2}? 2/7 What is prob of picking 1 f and 1 p when two letters picked without replacement from {f: 9, b: 9, p: 1}? 1/19 Calculate prob of picking 1 p and 1 w when two letters picked without replacement from {p: 4, a: 6, w: 1, y: 2}. 2/39 Calculate prob of picking 2 s and 1 a when three letters picked without replacement from {w: 1, a: 1, j: 5, x: 2, u: 3, s: 3}. 3/455 Two letters picked without replacement from {a: 1, m: 1, w: 3, c: 5}. What is prob of picking 1 a and 1 w? 1/15 Calculate prob of picking 1 k and 1 y when two letters picked without replacement from {y: 2, u: 1, c: 6, l: 8, k: 1}. 2/153 Calculate prob of picking 1 p and 1 q when two letters picked without replacement from sqjpl. 1/10 Calculate prob of picking 1 k, 2 d, and 1 c when four letters picked without replacement from ydydcckdydkddky. 6/91 What is prob of picking 2 c when two letters picked without replacement from caaocccacoawoaa? 2/21 What is prob of picking 1 w and 2 m when three letters picked without replacement from {l: 7, m: 4, w: 2}? 6/143 What is prob of picking 2 u, 1 p, and 1 a when four letters picked without replacement from {q: 1, a: 2, f: 4, u: 3, p: 3, b: 6}? 3/646 Four letters picked without replacement from {v: 3, d: 6, p: 3, c: 1, j: 1}. Give prob of picking 2 v, 1 c, and 1 j. 3/1001 Four letters picked without replacement from nmwmwwmmnm. What is prob of picking 1 w and 3 m? 1/7 What is prob of picking 2 e when two letters picked without replacement from {w: 1, e: 2}? 1/3 Three letters picked without replacement from dodhdhid. What is prob of picking 1 o, 1 d, and 1 h? 1/7 What is prob of picking 1 p and 3 q when four letters picked without replacement from {r: 1, p: 11, q: 5}? 11/238 What is prob of picking 1 j and 1 u when two letters picked without replacement from jfluv? 1/10 Three letters picked without replacement from {a: 3, f: 7, v: 9}. Give prob of picking 1 f and 2 v. 84/323 What is prob of picking 1 n and 1 t when two letters picked without replacement from kntkttt? 4/21 Calculate prob of picking 2 q and 1 j when three letters picked without replacement from qqjqtjrjrjqt. 6/55 Two letters picked without replacement from aruddba. What is prob of picking 1 u and 1 r? 1/21 Four letters picked without replacement from {b: 5, n: 7, w: 1}. Give prob of picking 1 n, 1 w, and 2 b. 14/143 Two letters picked without replacement from xep. Give prob of picking 1 x and 1 p. 1/3 Two letters picked without replacement from iajixxaijniq. What is prob of picking 1 a and 1 q? 1/33 Three letters picked without replacement from nznnznzr. Give prob of picking 1 n and 2 z. 3/14 Calculate prob of picking 2 k when two letters picked without replacement from {k: 9, t: 6, m: 2}. 9/34 What is prob of picking 1 b and 2 c when three letters picked without replacement from oozztobocc? 1/120 Two letters picked without replacement from akayhih. Give prob of picking 1 k and 1 a. 2/21 Three letters picked without replacement from wptwr. What is prob of picking 1 r, 1 w, and 1 p? 1/5 Four letters picked without replacement from jjjjdujujujuu. What is prob of picking 1 j and 3 u? 14/143 Three letters picked without replacement from rcqrurorcu. Give prob of picking 1 q and 2 c. 1/120 What is prob of picking 3 j when three letters picked without replacement from jjjjjjjttjjjtttjtjt? 220/969 Three letters picked without replacement from qsqfqza. Give prob of picking 1 f, 1 a, and 1 s. 1/35 Two letters picked without replacement from ybccmbrjyrcmmcbycbc. What is prob of picking 2 m? 1/57 Two letters picked without replacement from {v: 1, n: 2}. What is prob of picking 1 n and 1 v? 2/3 Four lett
{ "pile_set_name": "DM Mathematics" }
15*h - 7320 = 7*h. List the prime factors of h. 3, 5, 61 Let n(o) be the first derivative of o**4/4 - o**3/3 - o**2/2 + 51*o + 1. Let k be n(0). Let f = k - 36. List the prime factors of f. 3, 5 Let g(x) be the second derivative of x**3/3 - 6*x**2 + 4*x. Let t be g(9). List the prime factors of 14*(15/t + -2). 7 Let w(b) = 44*b + 1. Let p be w(3). Let i = p + 95. List the prime factors of i. 2, 3, 19 Suppose -f = 3*f - z - 7, -5*f = z - 11. Suppose -f*s = -s + 5*r + 10, r = 3*s - 50. List the prime factors of s. 3, 5 Let y = 20 + -5. Let p be (-39)/15 + (-6)/y. Let j = 21 - p. What are the prime factors of j? 2, 3 Let h(g) = -g - 3. Let f(i) = -1. Let r(s) = -f(s) - h(s). Let c be r(-7). List the prime factors of (c - -2)/(1/(-9)). 3 Suppose -5*t + 3*t + 10 = 0. Let u = -45 + t. Let s = -19 - u. What are the prime factors of s? 3, 7 Let k(j) = -j**3 - 6*j**2 - 3*j - 8. Let c = -6 - -10. Let v be c/8 + (-13)/2. What are the prime factors of k(v)? 2, 5 Suppose -1867*o + 42 = -1861*o. Suppose -4*d - 43 = -z, 5*z + 5*d - 62 = 28. Let f = o + z. List the prime factors of f. 2, 3, 5 Let g be 15*(24/10 - (-2 + 4)). Suppose g*q = 8*q - 248. What are the prime factors of q? 2, 31 Let g(n) = n**3 - n + 40. Let a be g(0). Let q be 2 + (-2 - 0/(-2)). Suppose q = 6*p - p - a. List the prime factors of p. 2 Let k be 4/(-10) - 261/(-15). Suppose -2*i + 6*p = 4*p - 68, -5*p - 140 = -4*i. Let c = i - k. List the prime factors of c. 13 Let m(w) = -5*w**2 - 81*w - 27. List the prime factors of m(-12). 3, 5 Let q = 7 + -6. Suppose 3*n + q = 4. What are the prime factors of (-10 + (-3)/n)/(-1)? 13 Let a = -96 - -160. List the prime factors of (-2)/(-8) - 2/(a/(-6680)). 11, 19 Let c = 722 + -319. Suppose 3*g + 4*w = 385, 0 = -8*g + 11*g - 5*w - c. What are the prime factors of g? 131 Suppose 5*p + 0*y - 2*y - 72 = 0, -36 = -3*p + 3*y. What are the prime factors of (p/(-10))/((-36)/270)? 2, 3 Let w(y) = 3*y**3 + 2*y - 1. Suppose -l + 5*l = 4. Let s be w(l). Suppose -3*g = -4*b - 13, b - 2*b = -s*g + 39. List the prime factors of g. 11 Suppose -367 = 3*c + 3*l - 139, -5*l = 4*c + 307. Let x = c - -124. What are the prime factors of x? 3, 17 Suppose -3 = 8*o - 9*o. Suppose 10 = 5*n, -o*n = 3*q - 19 - 11. List the prime factors of q. 2 Suppose 23*z - 640 = 18*z. Let i = z - 77. What are the prime factors of i? 3, 17 Let u = -24 - -258. Suppose 3*j - u - 78 = 0. What are the prime factors of j? 2, 13 Let g = 2534 + -1273. List the prime factors of g. 13, 97 Let o(r) = 1 - r - 5 - 3*r. Let g be ((-4)/6)/(1/3). List the prime factors of o(g). 2 Let b be 0 - 216/(-2) - (-40 - -41). Suppose 5*r + 4*k + b = 518, -78 = -r - 5*k. What are the prime factors of r? 83 Let c be (-26)/(-4) - 9/(-18). Let v(z) = -z**3 + 9*z**2 - 11*z + 10. Let u be v(c). Suppose -7 - u = -2*n. What are the prime factors of n? 19 Suppose -4*h + 0*h + 5*m = -1385, 2*h = -3*m + 687. Let j be h/9 + 1/(-3). Let l = j + -12. List the prime factors of l. 2, 13 Suppose 3*y = w + 59 - 217, -2*y - 108 = -2*w. Let n = y + 252. List the prime factors of n. 2, 5 List the prime factors of (315/(-60))/(3/(-248)). 2, 7, 31 Let y(f) = -f**3 - 13*f**2 + 14*f + 8. Let l be y(-14). What are the prime factors of (104/(-32))/((-2)/l)? 13 Suppose u - 2*x - 64 = -u, -59 = -2*u + x. Let r = 15 + u. Suppose i - 11 = 4*t - 2, 2*i = -4*t + r. What are the prime factors of i? 17 Suppose -206*p - 5167 = -207*p. What are the prime factors of p? 5167 Let d(o) = -7 - 7 - 5 + 3*o**2 + 20 - o. What are the prime factors of d(7)? 3, 47 Suppose 0 = -c + 4314 - 1555. List the prime factors of c. 31, 89 Suppose -t - 5*l = -1642, 0 = 5*l + 18 - 3. What are the prime factors of t? 1657 Let x = 59 + 224. Suppose 0 = 4*q - x - 57. List the prime factors of q. 5, 17 Let h(j) be the first derivative of -j**4/4 - 13*j**3/3 - 2*j**2 - 19*j + 25. Let x be 93/(-7) + 4/14. What are the prime factors of h(x)? 3, 11 Let i(u) = u**2 - 6*u - 17. Let v be i(13). Suppose 3*t + v = 4*t. What are the prime factors of t? 2, 37 Let j(b) = 70*b**2 + 2*b - 7. Let g be j(3). Suppose 0 = 7*l + 69 - g. Suppose -l = -4*x + 2*x. List the prime factors of x. 2, 5 Suppose 151 = 3*v - 98. Let f = v - 7. What are the prime factors of f? 2, 19 Let v be 0*(20/(-16))/5. Suppose q - 79 = -v*q. List the prime factors of q. 79 Let z = -33 - -122. Let h be (12/10)/((-2)/(-5)). Suppose 3 = -h*a, 2*a + 2*a + z = 5*c. What are the prime factors of c? 17 Let p(z) = -76*z. Suppose -6*a + 0 - 6 = 0. What are the prime factors of p(a)? 2, 19 Let a = -2652 - -5102. List the prime factors of a. 2, 5, 7 Let r(y) = -7*y**3 + 2*y**2 + 2*y. Let o be r(2). Let j = -28 - o. What are the prime factors of (17 - j)/(1/5)? 5 Let o = 31 + -26. Suppose 2*i + o*w - 403 = 0, 2*i - 393 = 6*w - w. What are the prime factors of i? 199 Let s = 13 + -13. Suppose -2*v + 335 = 5*g, s*v - 5*v = -25. What are the prime factors of g? 5, 13 Suppose 30 = -2*k + 2*v, 0 = 3*v + 2*v - 5. Let x = k + 12. What are the prime factors of 28 + -4 + 2 + x? 2, 3 Let p(r) = 6*r**2 - 6*r. Let m be p(4). Let u = 123 - m. What are the prime factors of u? 3, 17 Suppose n - 54 = -5*n. Suppose -10*y + 41 = -n*y. What are the prime factors of y? 41 Let r(v) = 6*v**2 - 6*v + 3. Let q(l) = -l**2 - 1. Let s(j) = -5*q(j) - r(j). Let x be s(9). Let m = 94 + x. List the prime factors of m. 3, 23 What are the prime factors of 3/((-48)/(-136))*20? 2, 5, 17 Suppose 0 = -9*w + 7962 + 7572. What are the prime factors of w? 2, 863 Let y(x) = x**2 + 8*x + 4. Let n be y(-8). Suppose -n*r + 8 = 0, r = h + h - 44. What are the prime factors of h? 23 Suppose 0 = -4*h + 361 + 1363. Let a = h - 246. Suppose 4*f = -t + 57, 6*t - 3*t = -5*f + a. What are the prime factors of t? 5, 13 Suppose 6*u - 2*u + 16 = 0. Let z(y) = y**2 + 4*y + 3. Let v be z(u). Let w = 7 - v. List the prime factors of w. 2 Let l be 24/28*(2 - -68). Suppose 2*w = 74 + l. What are the prime factors of w? 67 Let b(w) = 14*w + 81. List the prime factors of b(13). 263 What are the prime factors of (8/(-20))/((-4)/2420)? 2, 11 Let h be -5*3/(-15)*-2. Let p be h*4/(16/6). What are the prime factors of (p/1)/(-1) + 6? 3 Let k(u) = -4*u**2 + 46*u - 16. What are the prime factors of k(10)? 2, 11 Suppose f = 6*f - 20. Suppose f*t - 117 = 319. Let a = t - 69. What are the prime factors of a? 2, 5 Suppose -4 = -4*f, 2*y - 5*f = -0*y - 5425. List the prime factors of y/(-40) - 3/4. 67 Let t(p) = p**3 + 13*p**2 + 21*p - 27. Let v be t(-11). Let x be 258/5 + (-2)/(-5). Let b = v + x. What are the prime factors of b? 2, 3 Suppose -2*p + 4*p + 10 = 0. Let y(u) = -u**2 + 5*u**2 + 0*u + 2 + u**3 + u - 6*u. What are the prime factors of y(p)? 2 Let v(k) = -35*k - 1. Let n be v(-3). List the prime factors of n/(-1*(-4 - -2)). 2, 13 Suppose -s - 9 - 18 = -4*b, -5*b - s + 45 = 0. Suppose 0 = -0*v - 2*v - b, -12 = 2*r + v. Let q(t) = -t**3 - t**2 + 6*t + 3. List the prime factors of q(r). 3 Let t(y) = 2*y**2 + 71*y - 112. What are the prime factors of t(-42)? 2, 7, 31 Suppose 3*r - 16 - 5 = 0. Suppose 86 = 5*l - k, 0 = 3*l + 2*k - r*k - 34. What are the prime factors of l? 2, 3 Suppose 145*x = -2*q + 142*x + 7119, -q + 2*x = -3570. List the prime factors of q. 2, 3, 11 Suppose 0 = -3*n + 3. Let g be 0 - (-3 - (-1 + n)). Let k(j) = j**3 - 3*j**2 + 3*j - 1. List the prime factors of k(g). 2 Let j(t) = t**2 + 164*t - 25. List the prime factors of j(22). 7, 83 Suppose -4*r + 3*v = -v + 1052, 0 = 5*v - 5. Let k = 183 + r. Let d = -33 - k. List the prime factors of d. 2, 23 Let n(u) = -u**3 - 11*u**2 + 8*u - 1. Let f(h) = h**3 + 13*h**2 - 7*h + 1. Let v(a) = 5*f(a) + 6*n(a). What are the prime factors of v(-5)? 2, 17 Suppose m + 9 = -3*w, 2*m + 4*w + 1 = -7. Suppose 1682 = m*s - 64. What are the prime factors of s? 3, 97 Suppose -1329 = -q - 3*p - 2*p, -2678 = -2*q - 5*p. List the prime factors of q. 19, 71 Let m = 84 + -30. Suppose 6*l = 96 + m. List the prime factors of l. 5 Let u(k) = k + 1. Let o be u(1). Suppose -4*r + 16 = 0, -o*f + r + 27 = -109. List the prime factors of f. 2, 5, 7 Let y(w) = 11*w - 2. Let v(h) = -12*h + 1. Let i be (10/((-8)/(-4)))/1. Let k(l) = i*v(l) + 4*y(l). What are the prime factors of k(-3)? 3, 5 Let u(q) = q**3 - 6*q**2 + 3*q + 7. Let n be u(6). Suppose n = -t + 6*t.
{ "pile_set_name": "DM Mathematics" }
e -3*g(u) - 2*k(u). u**3 - u**2 - 1 Suppose -5*m = -0*z + 2*z + 17, 5*m = -5. Let g(i) = 2*i + 5. Let p(s) = 2*s + 6. What is z*p(y) + 7*g(y)? 2*y - 1 Let o(n) = -3*n. Let p(y) = 20*y - 1. Determine -3*o(c) + p(c). 29*c - 1 Let d(a) = 2*a**2 - a. Let u(m) = m**2 - m. Let n be (-5)/(-2) - (11/((-44)/(-38)) - 10). Suppose -4*l - 4 = 20. Let j = l - -2. Give j*u(h) + n*d(h). 2*h**2 + h Let q = -1103 + 1114. Let y(g) = 59*g - 3. Let l(f) = 20*f - 1. What is q*l(d) - 4*y(d)? -16*d + 1 Let n(v) = 7*v - 63. Let h(p) = 1. Suppose -20*f + 15*f = -3*x + 21, -5*x - 2*f = -4. What is x*n(d) + 126*h(d)? 14*d Let g(v) = v**2 + 2*v - 1. Let c(x) = 726*x**2 + 1210*x - 605. Give c(y) - 605*g(y). 121*y**2 Let p(y) = 8*y**3 + 6*y**2 - 2. Let o(c) = -9*c**3 - 7*c**2 + c + 3. What is 2*o(s) + 3*p(s)? 6*s**3 + 4*s**2 + 2*s Let d(n) = -n**2 - n + 1. Let g(h) be the second derivative of 5*h**4/12 + h**3/6 - 3*h**2/2 + 258*h. Calculate -4*d(s) - 2*g(s). -6*s**2 + 2*s + 2 Let a(q) = -6*q**3 - q**2 - 16*q + 3. Let l(d) = 13*d**3 + 3*d**2 + 37*d - 5. Give 7*a(w) + 3*l(w). -3*w**3 + 2*w**2 - w + 6 Suppose 15 = -5*b + 3*g, -2*b = 5*g - 15 + 21. Let f(m) = 9*m + 4. Let a(i) = 8*i + 3. Determine b*f(t) + 4*a(t). 5*t Let v(p) = -p**3 + p**2 - p + 4. Let i be v(0). Let b(o) = -3. Let j(u) = -u - 7. Determine i*j(k) - 10*b(k). -4*k + 2 Let y(g) = 3*g**3 + g**2 - 4*g - 4. Let z(p) = p**2 + 4. Let t be z(0). Let h(m) = m**3 - m - 1. Calculate t*h(o) - y(o). o**3 - o**2 Let r(z) be the second derivative of -z**3/3 + z**2 - z. Let k(x) be the second derivative of -2*x**3/3 + 2*x**2 + x + 3. Determine 2*k(y) - 5*r(y). 2*y - 2 Let i(f) = -4*f**3 + 2*f**2 - 10. Let v(u) be the second derivative of -u**5/20 + u**4/12 - 3*u**2/2 - 340*u - 2. Calculate -3*i(m) + 10*v(m). 2*m**3 + 4*m**2 Let r(w) = 4*w. Let k(z) = -z. Let t(y) = 26*k(y) + 6*r(y). Let n(b) = -3*b + 2 - 2 + 7*b. Let x(j) = j - 39. Let p be x(26). Determine p*t(s) - 6*n(s). 2*s Let f be ((5 - 13)/(-8))/((-1)/(-7)). Suppose 2*j + 2*y = 2, 4*j - y = -0*y + 14. Let i(w) = -j*w + w - 1 + f*w - 1. Let v(o) = 6*o - 3. Give -5*i(x) + 4*v(x). -x - 2 Let b(q) = 6*q - 7. Let t be (-24)/(-84) + -48*(-4)/14. Let m(c) = -c + 1. Calculate t*m(v) + 2*b(v). -2*v Let f(i) = 2*i**2 - 6*i + 2. Let k = 940 - 942. Let y(l) = 5*l**2 - 19*l + 7. What is k*y(g) + 7*f(g)? 4*g**2 - 4*g Let y(i) = i**3 - i**2 + 2*i + 1. Let u(x) = 3*x**3 - 5*x**2 + x + 5. Determine -u(p) + 5*y(p). 2*p**3 + 9*p Let d(s) = s**2 - 4*s + 49. Let i be d(0). Let x(c) = -c + 49 - i. Let b(y) = y. Give -3*b(j) - 7*x(j). 4*j Let j(k) = -5*k**2 + 3*k + 3. Let w(b) be the first derivative of 10*b**3/3 - 5*b**2/2 - 5*b - 74. Determine 5*j(x) + 3*w(x). 5*x**2 Suppose 5*l = -4*k + 27, 5*l + 2*k - 22 = -1. Let b(z) = 5*z**2 - 3*z - 3. Let w(r) = 9*r**2 - 5*r - 5. Give l*w(y) - 5*b(y). 2*y**2 Let n(w) = -2*w**3 - 9*w**2 + w + 9. Let v(u) = -4*u**3 + 5*u**2 + 8*u**3 - 3*u**3 - 4 - u**2. Determine 4*n(q) + 9*v(q). q**3 + 4*q Let w(y) = 3*y**2 - 2. Let q(x) = 11*x**2 - 5*x - 11. Let z(t) = -12*t**2 + 4*t + 11. Let a(r) = -4*q(r) - 5*z(r). Give 6*a(p) - 33*w(p). -3*p**2 Let z(h) = 87*h**3 - 15. Let c(a) = -21*a**3 + 4. Give -15*c(l) - 4*z(l). -33*l**3 Let d(q) be the first derivative of q**4/4 + 5*q**3/3 + 31. Let w(b) = -b**3 - 9*b**2. Determine -7*d(x) - 4*w(x). -3*x**3 + x**2 Let j(g) = -128*g - 240. Let k(m) = -m - 3. Determine -4*j(h) + 320*k(h). 192*h Let w = -7 + 4. Let l(y) = -14*y + 11. Let c(i) = i. Let u be (-6 - -9) + 2/(-1). Let t(g) = -9*g + 4. Let r(x) = u*t(x) + 4*c(x). What is w*l(k) + 8*r(k)? 2*k - 1 Let n(w) = 5*w - 4. Let c = 56 - 58. Let u(t) = 6*t - 5. Calculate c*u(r) + 3*n(r). 3*r - 2 Let b(h) = 23*h**2 + 9*h - 11. Let k be (-133)/(-38)*(-7)/(49/12). Let q(r) = -12*r**2 - 5*r + 6. Determine k*b(d) - 11*q(d). -6*d**2 + d Let j(x) = -2*x**2 + 3*x - 5. Suppose -2*t - 1 = 1. Let n(s) be the second derivative of -1/12*s**4 + 1/6*s**3 - 1/2*s**2 + 5*s + 0. Determine t*j(h) + 3*n(h). -h**2 + 2 Let c(r) = -17*r**3 - 2*r**2 - 5*r + 3. Let i(f) = 16*f**3 + f**2 + 4*f - 2. Give -2*c(a) - 3*i(a). -14*a**3 + a**2 - 2*a Let d(t) = -8*t**3 + 5*t**2 - 4. Let g(j) = 2*j**3 + j**2 - j - 1. What is d(i) - 2*g(i)? -12*i**3 + 3*i**2 + 2*i - 2 Let u(w) = -18*w - 13. Let h(d) = 9*d + 7. Calculate -11*h(f) - 6*u(f). 9*f + 1 Let k = -659 + 642. Let m(b) = 2*b**3 + 4*b**2 + 2. Let f(t) = 6*t**3 + 11*t**2 + 6. What is k*m(w) + 6*f(w)? 2*w**3 - 2*w**2 + 2 Let p(b) = 2*b**2 - 6*b + 7. Let z(u) be the second derivative of u**4/6 - 7*u**3/6 + 4*u**2 - 2*u + 49. Determine -6*p(h) + 5*z(h). -2*h**2 + h - 2 Let w(g) = -g**2. Let u(d) = 2*d**2 - 2*d - 2. Suppose 8*f - 12 = 5*f. Suppose 0 = 4*m - f*s, -4*m = -0*s + 4*s - 24. What is m*w(x) + u(x)? -x**2 - 2*x - 2 Let z(a) = a**2 - 14*a - 29. Let j be z(16). Suppose 45*h = 42*h - 15. Let t(v) = -3*v - 1. Let i(u) = u**2 - 5*u - 2. Calculate h*t(s) + j*i(s). 3*s**2 - 1 Let n be (28/20 + -2)*(-8 + 3). Let q(s) = -2*s**2 + 0 + 5*s**3 - 8*s**n + 3 - s - s**2. Let l(m) = 6*m**3 + 7*m**2 + 2*m - 7. Calculate -3*l(z) - 7*q(z). 3*z**3 + z Let b(v) = -1112*v**2. Let g(f) = 370*f**2. Determine -2*b(t) - 7*g(t). -366*t**2 Let w(d) = 2*d + 90 - 41 - 45. Let o(c) = 1. What is 4*o(f) - w(f)? -2*f Let z(r) = r + 5. Let o(f) = 5*f - 1 - 8*f + 2*f. What is -2*o(y) - z(y)? y - 3 Let y be (-9)/3*(-2)/3. Let l(i) = -327 - i**y + 324 - i**2. Let c(f) = 1. What is c(b) + l(b)? -2*b**2 - 2 Let q(o) = -8*o**2 + 2*o - 4. Let d(j) = -2*j**2 + 4*j - 3. Let t be d(1). Let v(b) = -b**2 - 1. Determine t*q(c) + 2*v(c). 6*c**2 - 2*c + 2 Let r(k) = 10*k - 3. Let f(z) = -z. Determine -18*f(y) - 2*r(y). -2*y + 6 Let m(x) be the first derivative of -x**4/4 + x**3/3 + 74. Let y(r) = 9*r**3 + 3*r**2. Determine 3*m(g) - y(g). -12*g**3 Let u(i) = -4*i**2 - 5*i. Let k be (-1)/(-2)*2 - 34. Let o be 4/22 + 105/k. Let w(z) = -5*z**2 - 6*z. Calculate o*w(x) + 4*u(x). -x**2 - 2*x Let y be -1 - 1 - (-6)/(-2). Let z(h) = -h**3 + 3*h**2 - 2*h + 3. Let p(l) = -2*l**3 + 5*l**2 - 3*l + 5. Let a be 4 + -2 - 7 - -8. Give a*p(b) + y*z(b). -b**3 + b Let n(j) be the second derivative of 11*j**5/10 - 13*j**4/12 - 13*j**2/2 - 19*j - 2. Let k(x) = 11*x**3 - 6*x**2 - 6. Determine 13*k(y) - 6*n(y). 11*y**3 Let g(p) = p**3 + 4*p + 0*p**3 - 7 + 3*p. Let d(f) = -f**3 - 5*f + 5. Let m be (-4)/(-14) + 6*(-55)/(-70). What is m*g(h) + 7*d(h)? -2*h**3 Let q(l) = 3*l**2 + 5*l. Let c(y) = -y**3 - 12*y**2 - y - 17. Let p be c(-12). Let f(n) = -n. Determine p*f(h) - q(h). -3*h**2 Let h(q) = 11*q**3 + 3*q - 3. Suppose 29*c + 24 = 37*c. Let f(p) = -11*p**3 - 2*p + 2. Determine c*f(w) + 2*h(w). -11*w**3 Let k(z) = 121*z + 3. Let s(p) = 361*p + 8. Determine -8*k(u) + 3*s(u). 115*u Let g(h) = 73*h + 17. Let y(s) = 36*s + 7. Determine 4*g(m) - 9*y(m). -32*m + 5 Let k(c) = 8*c + 12. Let q be k(-3). Let t = q + 5. Let s(x) = -4*x**3 - 4*x**2 - 4. Let h(n) = -8*n**3 - 7*n**2 - 7. What is t*s(u) + 4*h(u)? -4*u**3 Let g(v) = -5*v**2 + 66*v + 12. Let i(p) = -6*p**2 + 67*p + 14. Determine -7*g(j) + 6*i(j). -j**2 - 60*j Let p(y) = 1. Let a(x) = -3*x**2 - 4*x + 3. Determine a(i) - 4*p(i). -3*i**2 - 4*i - 1 Let g(w) = -8*w**2 + 5*w - 3. Let v(a) = -a**2 + a. Calculate -g(i) + 5*v(i). 3*i**2 + 3 Let x(w) = 1. Let c(s) = 2. Let d(r) = -3*c(r) + 4*x(r). Suppose -50*t + 284 = 34. Let o(l) = -l**2 + l + 5. Calculate t*d(g) + 2*o(g). -2*g**2 + 2*g Let r(j) = 108*j**2 - 5*j - 52*j**2 - 55*j**2 - 1 + 4. Let k(b) = 4*b - 2. What is -3*k(v) - 2*r(v)? -2*v**2 - 2*v Let q = 418 + -415. Let y(o) = -28*o**2 - 8*o - 8. Let p(z) = 9*z**2 + 3*z + 3. Determine q*y(r) + 8*p(r). -12*r**2 Let k(z) = -z + 16. Let d(s) = -2*s. What is -3*d(y) + k(y)? 5*y + 16 Let p(x) = -x**2 - x - 1. Suppose -5*g = c - 0*g, 3*g + 13 = 2*c. Let r(a) = -7*a + 2*a - 8*a**2 - 5 + 2*a**2 - a**3. Determine c*p(t) - r(t). t**3 + t**2 Let i(r) = 11*r - 5. Let u be -2 + 5 + (-8)/(-8 + 16). Let k(t) be the first derivative of 39/2*t**u - 18*t - 10. Give 18*i(w) - 5*k(w). 3*w Let h(m) = -4*m - 21. Let s(c) = -5*c - 26. What is 3*h(p) - 2*s(p)? -2*p - 11 Let h(q) = -3*q + 189. Let n(t) = 10*t - 568. Give 16*h(c) + 5*n(c). 2*c + 184 Let d(s) = 3*s**3 + 319*s**2 - 2*s. Let n(t) = -5*t**3 - 321*t**2 + 3*t. Give 3*d(q) + 2*n(q). -q**3 + 315*q**2 Let i(f) = f**3 + 2*f**2 - f. Let s(n) = -
{ "pile_set_name": "DM Mathematics" }
1705 days in hours? 15676.092 How many months are there in fifty-one eighths of a century? 7650 What is 21/5 of a hour in seconds? 15120 How many seconds are there in twenty-six fifths of a minute? 312 How many kilograms are there in twenty-one eighths of a tonne? 2625 How many tonnes are there in 18.25493 micrograms? 0.00000000001825493 What is twenty-seven halves of a litre in millilitres? 13500 What is fifty-one quarters of a day in hours? 306 How many decades are there in 917018.1 millennia? 91701810 How many centuries are there in 26/5 of a millennium? 52 Convert 93.97664km to meters. 93976.64 What is fifteen quarters of a litre in millilitres? 3750 Convert 0.2060804 years to millennia. 0.0002060804 What is 93.8592 micrograms in nanograms? 93859.2 Convert 3.252126 centuries to months. 3902.5512 How many seconds are there in 0.6321201 nanoseconds? 0.0000000006321201 What is 4927.319 years in millennia? 4.927319 Convert 421.2688 centimeters to millimeters. 4212.688 How many centimeters are there in 5.926126 millimeters? 0.5926126 How many grams are there in 86.46066mg? 0.08646066 What is 29/3 of a week in hours? 1624 What is eight thirds of a day in hours? 64 What is 45/2 of a hour in minutes? 1350 What is 1/20 of a century in years? 5 Convert 62978.51 weeks to hours. 10580389.68 What is 56462.03um in meters? 0.05646203 What is 23356.33 litres in millilitres? 23356330 What is 29.64632 minutes in microseconds? 1778779200 What is three fifths of a litre in millilitres? 600 What is one fifth of a kilometer in centimeters? 20000 What is 59/4 of a day in minutes? 21240 How many tonnes are there in 669124.1kg? 669.1241 How many millilitres are there in 7814.453l? 7814453 Convert 3881.128 litres to millilitres. 3881128 How many millilitres are there in 0.953609 litres? 953.609 How many decades are there in 283464.69 months? 2362.20575 How many tonnes are there in 283687.7ug? 0.0000002836877 How many minutes are there in 26/5 of a week? 52416 What is thirty-three fifths of a litre in millilitres? 6600 How many minutes are there in seven halves of a hour? 210 How many hours are there in three eighths of a week? 63 What is 119.4921 decades in months? 14339.052 What is three sixteenths of a millennium in months? 2250 What is eleven halves of a kilometer in meters? 5500 What is 36.3993ml in litres? 0.0363993 How many millilitres are there in 95.31287 litres? 95312.87 What is 71.91514g in micrograms? 71915140 What is 0.4797518 millilitres in litres? 0.0004797518 Convert 817130.6 meters to nanometers. 817130600000000 How many seconds are there in 964.8372 milliseconds? 0.9648372 How many months are there in 13/4 of a millennium? 39000 How many months are there in 1/24 of a century? 50 How many years are there in thirty-three tenths of a millennium? 3300 How many millilitres are there in 21/4 of a litre? 5250 What is one fifth of a tonne in kilograms? 200 How many kilometers are there in 6468.722 centimeters? 0.06468722 What is 43.28972 litres in millilitres? 43289.72 How many micrograms are there in one sixteenth of a gram? 62500 What is 3/25 of a hour in seconds? 432 What is seven quarters of a millisecond in microseconds? 1750 What is 12339.56 centuries in decades? 123395.6 What is 1/10 of a meter in centimeters? 10 How many kilometers are there in 77086.06m? 77.08606 How many minutes are there in 11/4 of a hour? 165 How many millilitres are there in 56.81671l? 56816.71 Convert 0.2426132 milligrams to nanograms. 242613.2 Convert 926635.1 hours to nanoseconds. 3335886360000000000 Convert 749695.9 grams to kilograms. 749.6959 How many meters are there in 1.816237 nanometers? 0.000000001816237 What is 7/4 of a hour in seconds? 6300 What is 17/2 of a milligram in micrograms? 8500 What is 0.661786nm in centimeters? 0.0000000661786 What is thirty-one halves of a decade in months? 1860 What is six fifths of a centimeter in millimeters? 12 What is 180.0979ml in litres? 0.1800979 How many hours are there in 15/4 of a week? 630 What is 43.1555um in kilometers? 0.0000000431555 Convert 0.1022614 milliseconds to microseconds. 102.2614 What is one fifth of a microgram in nanograms? 200 How many millilitres are there in eleven tenths of a litre? 1100 Convert 6.865292 years to months. 82.383504 What is 87/4 of a day in hours? 522 What is 7/6 of a hour in seconds? 4200 What is three fifths of a second in milliseconds? 600 What is one fifth of a kilogram in grams? 200 What is one quarter of a day in hours? 6 What is 56.93029 millilitres in litres? 0.05693029 What is 6/5 of a meter in millimeters? 1200 What is 55/2 of a gram in milligrams? 27500 Convert 545.1042 millennia to centuries. 5451.042 Convert 0.338555 seconds to nanoseconds. 338555000 How many micrometers are there in 11/4 of a centimeter? 27500 Convert 6.178198 milligrams to nanograms. 6178198 What is eighty-seven quarters of a meter in centimeters? 2175 What is six fifths of a kilogram in grams? 1200 How many years are there in 11/2 of a decade? 55 How many microseconds are there in 332032.1 weeks? 200813014080000000 Convert 0.0496058 years to centuries. 0.000496058 What is 17/4 of a second in milliseconds? 4250 What is 27/2 of a millimeter in micrometers? 13500 How many seconds are there in 2.143451ns? 0.000000002143451 How many hours are there in 4/21 of a week? 32 What is 498161.8kg in milligrams? 498161800000 Convert 21.17068 grams to milligrams. 21170.68 What is 13/8 of a millimeter in micrometers? 1625 Convert 6374.902mg to micrograms. 6374902 How many meters are there in 7.118967km? 7118.967 How many millilitres are there in three eighths of a litre? 375 What is 6/25 of a day in seconds? 20736 What is one quarter of a millennium in decades? 25 How many months are there in 7/8 of a century? 1050 How many hours are there in 27/2 of a day? 324 Convert 5.010385 years to millennia. 0.005010385 What is five sixths of a year in months? 10 Convert 20.2665 hours to seconds. 72959.4 How many millilitres are there in 31/2 of a litre? 15500 What is 18.78039 millilitres in litres? 0.01878039 Convert 0.97111m to nanometers. 971110000 What is 0.8812081ug in grams? 0.0000008812081 What is 64/7 of a week in minutes? 92160 How many decades are there in 9.099713 centuries? 90.99713 How many micrometers are there in 28.45286km? 28452860000 What is thirty-seven fifths of a litre in millilitres? 7400 What is 7/4 of a litre in millilitres? 1750 What is one tenth of a litre in millilitres? 100 Convert 2725.71mm to meters. 2.72571 How many minutes are there in 5/4 of a week? 12600 How many micrometers are there in 1.537502mm? 1537.502 What is 8.505574 years in decades? 0.8505574 What is thirteen quarters of a gram in milligrams? 3250 How many months are there in 34/5 of a millennium? 81600 Convert 656.1719 millennia to years. 656171.9 How many micrometers are there in 1.756599 millimeters? 1756.599 How many milligrams are there in eighty-eight fifths of a gram? 17600 How many nanograms are there in 1914.632 tonnes? 1914632000000000000 How many milliseconds are there in six fifths of a minute? 72000 What is eight thirds of a year in months? 32 What is 20.163939 hours in days? 0.840164125 How many seconds are there in one fifteenth of a minute? 4 What is 176759.1 months in millennia? 14.729925 How many micrometers are there in 1464.066 nanometers? 1.464066 How many seconds are there in 11/2 of a minute? 330 What is 601070.2mm in nanometers? 601070200000 How many months are there in nine tenths of a decade? 108 How many milliseconds are there in seven halves of a second? 3500 What is 96.23843ml in litres? 0.09623843 Convert 95.28097 litres to millilitres. 95280.97 What is 0.1544625 millilitres in litres? 0.0001544625 What is eleven halves of a litre in millilitres? 5500 How many litres are there in 0.708675ml? 0.000708675 What is 845255.6 decades in months? 101430672 What is 8/25 of a gram in milligrams? 320 How many hours are there in 49.027365us? 0.0000000136187125 What is three eighths of a litre in millilitres? 375 What is 0.2649447ug in kilograms? 0.0000000002649447 How many meters are there in fourty-five quarters of a kilometer? 11250 How many micrometers are there in 3.873058m? 3873058 What is 9.826277um in millimete
{ "pile_set_name": "DM Mathematics" }
8338 What is next in 122882, 245250, 367618? 489986 What is the next term in 17356, 34443, 51260, 67807, 84084, 100091? 115828 What is next in 77999431, 77999432, 77999433, 77999434, 77999435, 77999436? 77999437 What is the next term in 9801, 39468, 89005, 158412, 247689, 356836? 485853 What comes next: -19662, -28228, -36784, -45324, -53842, -62332, -70788? -79204 What is the next term in 25009714, 50019428, 75029142, 100038856, 125048570? 150058284 What comes next: 6283947, 6283985, 6284085, 6284277, 6284591? 6285057 What comes next: 1015678, 2031306, 3046934, 4062562, 5078190? 6093818 What is the next term in 7122923, 28491687, 64106291, 113966735, 178073019? 256425143 What comes next: -4517, -12864, -21211, -29558, -37905, -46252? -54599 What is the next term in 37278, 74757, 112434, 150309, 188382, 226653, 265122? 303789 What comes next: -3297, -2905, -2317, -1587, -769? 83 What is next in -6504, -12797, -19092, -25389, -31688, -37989? -44292 What is next in -6098900, -6099005, -6099112, -6099221? -6099332 What is the next term in 8101, 8133, 8167, 8203? 8241 What is next in 467277313, 467277315, 467277317, 467277319, 467277321? 467277323 What comes next: -1660943, -1660948, -1660953, -1660958, -1660963, -1660968? -1660973 What is next in -5064, -8008, -10966, -13944, -16948, -19984, -23058? -26176 What is next in 6057, 11224, 19841, 31908, 47425? 66392 What is next in -152814385, -305628776, -458443167, -611257558? -764071949 What comes next: 858, 5808, 10758? 15708 What comes next: -474633, -474899, -475169, -475443, -475721? -476003 What is the next term in 23237, 46307, 69377, 92447, 115517? 138587 What is the next term in 278, 635, 812, 815, 650? 323 What is next in -276, -608, -1168, -1956, -2972? -4216 What comes next: -60981, -60944, -60913, -60888, -60869, -60856, -60849? -60848 What is next in -14069699, -28139402, -42209105? -56278808 What is the next term in -3487, -3321, -3155? -2989 What comes next: 126110, 126408, 126726, 127070, 127446, 127860, 128318? 128826 What is next in 529251, 1058420, 1587589, 2116758? 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-12668593 What is next in 67222, 61609, 46374, 16705, -32210? -105183 What comes next: 10883, 11145, 11419, 11711, 12027, 12373, 12755? 13179 What comes next: -140785, -566105, -1274967, -2267365, -3543293, -5102745, -6945715, -9072197? -11482185 What is the next term in -162, -1002, -2936, -6378, -11742, -19442, -29892? -43506 What is next in 20837, 32470, 44103, 55736, 67369? 79002 What is next in -194229, -388386, -582507, -776574, -970569, -1164474, -1358271? -1551942 What is the next term in 2220265, 2220269, 2220273? 2220277 What is next in 7338, 14609, 21880? 29151 What is next in 1044694, 1044712, 1044736, 1044766, 1044802, 1044844, 1044892? 1044946 What is next in -849223, -849232, -849275, -849370, -849535, -849788, -850147? -850630 What is the next term in -518137, -1036865, -1555593? -2074321 What comes next: 21490511, 42981023, 64471535, 85962047? 107452559 What is the next term in 16462, 32961, 49460, 65965, 82482, 99017? 115576 What is the next term in -17908, -34908, -51872, -68782, -85620, -102368, -119008? -135522 What is next in 1841238071, 1841238070, 1841238069, 1841238068, 1841238067, 1841238066? 1841238065 What is the next term in -31139, -72643, -114149, -155657? -197167 What is next in 11341, 46448, 105305, 187912, 294269, 424376? 578233 What is the next term in 5891, 23920, 54079, 96368? 150787 What is the next term in 115, 668, 1135, 1474, 1643, 1600? 1303 What comes next: -19566, -58695, -97824, -136953, -176082? -215211 What is next in 700, 1057, 1536, 2137, 2860, 3705, 4672? 5761 What is the next term in -13, 1201, 3671, 7391, 12355, 18557, 25991? 34651 What is the next term in -580576, -580648, -580720, -580792, -580864? -580936 What comes next: 20077, 20136, 20195, 20254, 20313? 20372 What is the next term in 4899, 5479, 6059? 6639 What is the next term in 1221, -1535, -9011, -23565, -47555, -83339? -133275 What is the next term in -268, -204, -10, 314, 768, 1352, 2066? 2910 What is the next term in 1682, 1407, 1138, 875, 618? 367 What comes next: 1349754, 2698975, 4048184, 5397375, 6746542, 8095679, 9444780, 10793839? 12142850 What comes next: 2898, 5886, 8940, 12054, 15222, 18438, 21696, 24990? 28314 What comes next: 19011, 16423, 13835? 11247 What comes next: 0, -93, -192, -297, -408, -525? -648 What comes next: 214096, 430237, 646378, 862519, 1078660, 1294801? 1510942 What is next in 21127, 21213, 21371, 21613, 21951? 22397 What is next in -10960744, -10960675, -10960606, -10960537? -10960468 What comes next: -93312, -93093, -92874, -92655, -92436? -92217 What is next in 297985, 295664, 293343, 291022? 288701 What is next in -480, -1436, -2816, -4614, -6824? -9440 What comes next: -843870, -843869, -843868, -843867? -843866 What is next in -460, 6897, 22070, 45059, 75864? 114485 What comes next: -8716, -9969, -11222? -12475 What is the next term in -134704, -135462, -136726, -138496, -140772? -143554 What is the next term in -69027, -276129, -621307, -1104561, -1725891, -2485297, -3382779? -4418337 What is next in -825813, -826129, -826447, -826767? -827089 What is the next term in -3684, -10299, -21324, -36759, -56604, -80859? -109524 What is next in 31219, 125018, 281371, 500296, 781811, 1125934? 1532683 What comes next: -5674412, -11348825, -17023238, -22697651, -28372064, -34046477? -39720890 What comes next: -4283, -8715, -13105, -17435, -21687, -25843, -29885, -33795? -37555 What is next in -7302272, -14604541, -21906810, -29209079, -36511348, -43813617? -51115886 What is next in 103012, 206052, 309106, 412174? 515256 What comes next: 32328, 32335, 32346, 32361, 32380, 32403? 32430 What is the next term in 1537, 9563, 31333, 73717, 143585, 247807, 393253? 586793 What is the next term in -615, -1003, -1351, -1641, -1855, -1975? -1983 What is the next term in 19079, 38003, 56923, 75839, 94751, 113659? 132563 What is the next term in 879, 3461, 7749, 13743, 21443, 30849, 41961? 54779 What comes next: -29172, -117193, -264066, -469791? -734368 What comes next: -26067, -52144, -78221? -104298 What is the next term in 21493565, 42987118, 64480671, 85974224? 107467777 What is next in -1395, -5235, -11597, -20451, -31767, -45515, -61665? -80187 What comes next: 1204601, 1204389, 1204035, 1203539, 1202901, 1202121, 1201199? 1200135 What is the next term in -990748, -990714, -990660, -990580, -990468, -990318, -990124? -989880 What is the next term in 48154, 192315, 432586, 768967? 1201458 What is next in -1123, -6193, -17745, -38317, -70447, -116673, -179533, -261565? -365307 What is next in -4727, -9666, -14605, -19538, -24459, -29362? -34241 What is next in 10768, 20727, 29040, 34885, 37440, 35883? 29392 What is next in -285857, -571833, -857809? -1143785 What is the next term in 278478, 556926, 835342, 1113726, 1392078, 1670398, 1948686? 2226942 What is the next term in 468, 1621, 3562, 6387, 10192, 15073, 21126? 28447 What is next in 966663, 1933231, 2899799, 3866367, 4832935, 5799503? 6766071 What comes next: 484, 778, 1086, 1408, 1744? 2094 What comes next: -4516, -4552, -4624, -4738, -4900, -5116, -5392? -5734 What is next in 1948
{ "pile_set_name": "DM Mathematics" }