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*d - 8*n**2 + 2*n wrt d? 6*d*n**2 + 2526*d*n What is the third derivative of 121*b**4 - 176*b**3 + 35278*b**2 wrt b? 2904*b - 1056 Find the third derivative of 681307*u**3 - 44*u**2 - 12723*u. 4087842 Find the second derivative of 31456*n*o**4 - 4*n*o + 2*n + 24*o - 2 wrt o. 377472*n*o**2 What is the third derivative of 135*b**4*s + 33*b**4 - 3*b**3*s + 688333*b**2*s wrt b? 3240*b*s + 792*b - 18*s Find the second derivative of 520847*k**2 - 2128294*k wrt k. 1041694 What is the second derivative of -35*b**5 + 3*b**4*l + 6*b**2 + 5*b*l + 11250*b wrt b? -700*b**3 + 36*b**2*l + 12 Differentiate 27*l*x**4 + 2*l*x**2 - 134544*l - 2503*x**3 with respect to x. 108*l*x**3 + 4*l*x - 7509*x**2 Find the third derivative of 618846*h**6 - 6*h**2 + 2*h + 15087 wrt h. 74261520*h**3 What is the derivative of 48*n**2*w - 6*n**2 + 265*n + 27035*w - 12 wrt n? 96*n*w - 12*n + 265 Find the third derivative of 688*y**6 + 19*y**3 - y**2 + 54608. 82560*y**3 + 114 Differentiate 2*q*t**2*v - 2*q*t**2 + 2*q*t*v + 7343*q*v + q - 9*t**2 - 1390*t - 4*v with respect to v. 2*q*t**2 + 2*q*t + 7343*q - 4 Differentiate -8*c*p*w - c*p - 231*c - 4*p*w - 2*p - 4*w + 1543 wrt c. -8*p*w - p - 231 Find the first derivative of -2802*l*t**2 + 1856*t**2 + t + 3 wrt l. -2802*t**2 What is the second derivative of -130705*d**3 - 42052*d wrt d? -784230*d Find the second derivative of -7*n**3*u - 3389*n**2 + n*u - 3*n + 5*u + 70 wrt n. -42*n*u - 6778 Differentiate -28*q**3 + 18*q**2 + 8*q + 34836 with respect to q. -84*q**2 + 36*q + 8 What is the third derivative of 128947*a**5 + a**2 + 14897 wrt a? 7736820*a**2 What is the third derivative of 2*l*n**3 - 9*l*n**2 - 2*l*n + 6*l - 810725*n**3 - 22*n**2 - 6 wrt n? 12*l - 4864350 Find the second derivative of -2204447*h**2 + 4272804*h wrt h. -4408894 Find the second derivative of 3*f**4*h**2 - 381070*f**4*h + 15965*f*h**2 - 4*f*h - h**2 wrt f. 36*f**2*h**2 - 4572840*f**2*h Find the first derivative of 11243*l**2 - 4940 wrt l. 22486*l What is the second derivative of 120342*o**5 + 82861*o wrt o? 2406840*o**3 Find the second derivative of 2*g**2*r**2 + g**2*r + 153*g**2 + 4*g*r**2 - 750*r**2 + 2*r + 22 wrt r. 4*g**2 + 8*g - 1500 What is the derivative of 5083*r**4 + 2*r**2 - 4*r + 255270? 20332*r**3 + 4*r - 4 Find the second derivative of -199388*j*s**2 + 970962*j*s + s**4 wrt s. -398776*j + 12*s**2 Differentiate -j*q*u + 11*j*q + 27372*j*t*u - 3*q*t*u + 4*q*t - q with respect to q. -j*u + 11*j - 3*t*u + 4*t - 1 What is the third derivative of -5447*t**5*v**2 - 8*t**5*v + 577580*t**2*v**2 wrt t? -326820*t**2*v**2 - 480*t**2*v Find the second derivative of -207157*j**3*v**2 - 20*j**3*v + 3920*j**3 wrt v. -414314*j**3 Find the third derivative of -38*u**4*x**2 - 40*u**4*x - 4*u**3 - 2*u**2*x**2 - u**2 - 5719*u - 2*x**2 wrt u. -912*u*x**2 - 960*u*x - 24 Find the second derivative of -2*d**3 + 74319*d**2 + 751*d - 16. -12*d + 148638 What is the second derivative of 3*r**2*y + 110087*r**2 - 201*r*y - 22*r + 31*y wrt r? 6*y + 220174 What is the second derivative of -4*h**2*t**2 - 16556*h**2*t - 12*h**2 - 2*h*t**2 + 12909*t**2 wrt t? -8*h**2 - 4*h + 25818 Find the third derivative of -63*x**5 - 1134*x**4 + 1283*x**2 - 96*x wrt x. -3780*x**2 - 27216*x Find the second derivative of 4807671*m**2 - 4271324*m wrt m. 9615342 What is the third derivative of -19697*c**2*q**3 - c**2*q - 2182*q**2 wrt q? -118182*c**2 What is the derivative of 2979081*q + 2568150 wrt q? 2979081 What is the first derivative of g*l**3*s**2 - 39028*g*l**3 + 13*g*s**2 - 71*g*s wrt s? 2*g*l**3*s + 26*g*s - 71*g What is the first derivative of -2201217*j**2 + 21615 wrt j? -4402434*j What is the third derivative of -3694274*m**4 + 734669*m**2? -88662576*m Find the third derivative of l**5 - 37*l**4 + 3938*l**3 + 981158*l**2 wrt l. 60*l**2 - 888*l + 23628 Differentiate -144*g**3*s**2 + 224*g**2*s**3 - 38610*s**3 wrt g. -432*g**2*s**2 + 448*g*s**3 What is the second derivative of -4*o*x**4 + 4*o*x - 4003*o - 15*x**4 - 30*x**2 wrt x? -48*o*x**2 - 180*x**2 - 60 What is the second derivative of 43534*t**2 - 7611*t + 4? 87068 Find the third derivative of 83513*k**3 + 46254*k**2. 501078 What is the second derivative of -2986*s**2 + 78*s - 118 wrt s? -5972 What is the third derivative of 92*a*k*l**3 - 2*a*k*l - 4*a - 2*k*l**4 - k*l**3 - 94*k*l**2 - 53*l**3 wrt l? 552*a*k - 48*k*l - 6*k - 318 What is the second derivative of 23*f*t**2 - 2824*f*t - 688*t**3 + t + 31 wrt t? 46*f - 4128*t What is the second derivative of 598*b**3*q**2 - 6*b**3*q - b**3 - b*q**2 - 58199*b*q wrt b? 3588*b*q**2 - 36*b*q - 6*b Differentiate -3*b**3*c**2 + b**3 + b**2*c - 43*b*c**2 - 8*b + 1143 wrt c. -6*b**3*c + b**2 - 86*b*c What is the third derivative of 3*p**4 + 3652*p**3 - 10*p**2 - 971*p? 72*p + 21912 Find the second derivative of -8999*p**2*u**2 + 2*p*u**2 + 190*p*u - p + 2*u**2 wrt p. -17998*u**2 What is the third derivative of 2*r**3*v + 295323*r**3 + 67*r**2 + 16828*v wrt r? 12*v + 1771938 What is the derivative of 2*c*n**2 + 4125*c*n + 3*c - 4*n**2 - 1410*n wrt c? 2*n**2 + 4125*n + 3 Find the third derivative of -19*a**2*j*o**3 - 5*a**2*j - a**2*o - 7*a*j*o**3 - 65*a*o**2 + 1251*j*o**3 - 10*o**2 wrt o. -114*a**2*j - 42*a*j + 7506*j Find the third derivative of 2*k**3*s*v**3 - 2*k**3*s*v**2 + 10*k**2*v**2 + 2*k*s*v**3 + 1715*k*s*v + 62435*k*v**3 wrt v. 12*k**3*s + 12*k*s + 374610*k Find the third derivative of 27350*l**3 + 12*l**2 + 355*l wrt l. 164100 Differentiate c**2*p*x - 3161*c**2 - 2341*c*x**2 - 5*p*x - p - 2 with respect to x. c**2*p - 4682*c*x - 5*p Differentiate 22809*l**2 + l*s - 3880*s + 5 wrt l. 45618*l + s Find the third derivative of -55*a**5 + 77*a**4 + 253*a**2 - 2*a + 1 wrt a. -3300*a**2 + 1848*a What is the third derivative of 561701*d**3 - 389872*d**2? 3370206 What is the second derivative of -4*o**3*t**3 + o**3 - 7*o**2 + 8514*t**3 + 16*t + 2 wrt t? -24*o**3*t + 51084*t What is the second derivative of -f**4 - 104594*f**3 - f**2 - 157881*f wrt f? -12*f**2 - 627564*f - 2 What is the derivative of -808917*c - 39543 wrt c? -808917 What is the second derivative of 27094*j**3 - 10961*j + 1? 162564*j Find the third derivative of -172706*a**4 - 42*a**2 + 799. -4144944*a What is the first derivative of -1828*l**2*p**2 - l**2 + 200*l*p**2 - 2388*l + 60 wrt p? -3656*l**2*p + 400*l*p What is the derivative of -9*a**3*t + 14*a**2*t - 30*a + 1405*t - 4 wrt a? -27*a**2*t + 28*a*t - 30 What is the first derivative of -830863*h**2 + 211547? -1661726*h What is the second derivative of 3555676*f**2 + 536*f + 6? 7111352 What is the second derivative of -1115*t**3*u + 108*t**2 - 98*t*u + 69*t - u + 1 wrt t? -6690*t*u + 216 Find the third derivative of 2830712*b**3*w**2 + 3*b**2*w**2 + 38*b**2*w + 2*b**2 + 1098*b*w**2 wrt b. 16984272*w**2 What is the second derivative of -100754*l**2*n - l**2 - 2*l*n + 15*n + 5002 wrt l? -201508*n - 2 Find the third derivative of 135540*b**6 - 89056*b**2. 16264800*b**3 What is the second derivative of -3*m**2*w**3 + 36942*m**2*w + 238*m*w**3 + 30*m*w**2 - 4*m*w wrt m? -6*w**3 + 73884*w What is the derivative of 908883*p + 544223? 908883 Find the second derivative of -324425*m*r**2 + 5*m*r - 109*m - 6*r - 5 wrt r. -648850*m What is the second derivative of 41*c**5 - 246*c**3*z + 288*c*z - 3*c - 27*z + 1 wrt c? 820*c**3 - 1476*c*z Find the second derivative of 50379*b**2*q**2 + 319*b*q**2 + 32*b wrt b. 100758*q**2 Find the second derivative of 22*k**4*r - 11*k**4 + 2*k**2*r**2 - 734*k*r**2 + k*r wrt k. 264*k**2*r - 132*k**2 + 4*r**2 Find the second derivative of -35073*b**3 - 62486*b. -210438*b What is the second derivative of 14819*d**4 + d**3 - d**2 + 99*d - 2505 wrt d? 177828*d**2 + 6*d - 2 Find the third derivative of 2*u**5 - 24718*u**3 + 243130*u**2 wrt u. 120*u**2 - 148308 Differentiate -29497*c**2 - 2*c + 394564 with respect to c. -58994*c - 2 Find the third derivative of -454471*z**5 + 30*z**2 - 2678*z - 2. -27268260*z**2 Find the third derivative of 117991*s**4 - 17237*s**2 - 5*s + 2. 2831784*s What is the second derivative of 1203*o**2*s**3 + 12*o**2*s**2*y - 70*o*s**3*y + 3*o*s**3 - 2*o*y + 5*s*y wrt o? 2406*s**3 + 24*s**2*y What is the second derivative of h**3*t**2 - 758*h**2*t**3 - 2*h*t**3 - 21073*h wrt h? 6*h*t**2 - 1516*t**3 What is the third derivative of -
{ "pile_set_name": "DM Mathematics" }
the common denominator of c/(-8) - 35/4 and n. 28 Suppose -385 = -56*h + 287. What is the smallest common multiple of 258 and h? 516 Suppose 22 = 2*v - 18. Suppose 48 = -2*m + 2*b - v, -118 = 3*m + 5*b. What is the common denominator of -79/6 and 749/35*10/m? 18 Calculate the smallest common multiple of 15 and ((-6)/3)/((-11)/(-330)*-6). 30 Let y = 89 + -88. What is the least common multiple of ((-2)/1)/((y/(-2))/1) and 7? 28 Calculate the common denominator of 37/10 and (-360)/35*4/16. 70 Suppose 0 = 9*m - 3*m - 18. Suppose -m*w + 80 - 26 = 0. What is the least common multiple of 27 and w? 54 Let v(a) = 3*a - 10. Let y(c) = c**2 + 9*c + 2. Let s be y(-10). Suppose p + s = 4*p. Calculate the lowest common multiple of 4 and v(p). 4 Let r be 27/12*16/3. Suppose 13*q - 68 = r*q. Find the common denominator of q/(-3) - (0 + 2) and -24/11. 33 What is the lowest common multiple of 90 and (-1041)/(-13) + (-244)/3172? 720 Let q be (0 + -54)*2*(-2)/6. Let r = 46 - q. Calculate the lowest common multiple of r and 11. 110 What is the common denominator of 93/4 and (-7)/(455/(-610)) - 7? 52 Let d = 571 + -517. Calculate the least common multiple of 3 and d. 54 Let a = 6/743 + -61693/2972. Let z = 71702/39 + -1838. What is the common denominator of a and z? 156 Suppose -768 = -s - 11*s. What is the least common multiple of 22 and s? 704 What is the smallest common multiple of -12*(65/10)/(-1) and 130? 390 Suppose l = a, -5*l - 2*a + 35 = -0*l. Suppose 4*r - 4 = k - 0*r, l*k + 4*r = 28. Calculate the lowest common multiple of k/1 - (-13 + 15) and 17. 34 Let s = 10 + -2. Suppose -4*d = 3*k + 2, k + 14 = 5*k + 2*d. Suppose -27 = -4*m - 4*r - 3, 2*r = -m + k. What is the smallest common multiple of m and s? 24 Suppose -4*g = -j - 4, -35 = -j - 2*g - 9. What is the common denominator of (-92)/15*24/j and 44/5? 5 Let g be 2/(-12) + 29/(-6). Calculate the common denominator of -3 + (-22)/35 - 1/g and -16/9. 63 Suppose -5*g + m - 8 = -2*g, -2*g + 3*m = 10. Let i = 12 - g. What is the smallest common multiple of i and 10? 70 Let o(d) = d + 57. Let n be o(-7). What is the common denominator of 11/3 and ((-2)/(-45))/(60/n)? 27 Calculate the common denominator of ((-3087)/378)/(3/2) and 32/5. 45 Suppose -4*h - 3*r + 6666 = 0, -10 = -5*r - 0*r. Let n be (6 + -8)/(1 + (-24843)/24813). Let i = n - h. Calculate the common denominator of i and -2/11. 55 Suppose -4*t - 5*b = -2*b - 169, 3*t - 132 = -4*b. Let r = t + -30. Calculate the least common multiple of 181 and r. 1810 Let r(n) = -24*n + 4. Let x be r(-4). Let f = x - 191/2. Find the common denominator of (-22)/35*-5 - -1 and f. 14 Suppose u - s - 164 = 0, 2*s = 3*u - 2*s - 492. What is the smallest common multiple of u and 4? 164 Let k = 665677/4 - 163352. Let i = k - 98335/32. Let j = i + -417/32. What is the common denominator of j and 54/5? 20 Let l be (-2)/12*-3 + (-84438)/168888. Let a = l + -1618519/253332. Find the common denominator of a and -49/10. 90 Let k be 49470/(-49466) + -1 + 2. Let z = k + 1162475/296796. Find the common denominator of ((-9)/15)/(4/(-30)) and z. 12 Let i = 61 + -41. What is the lowest common multiple of 23 and 2 + 0 - (i/(-4) + 5)? 46 Suppose -t + 3*t - 62 = 0. Suppose -2*g = t - 37. What is the lowest common multiple of g and 2? 6 Let v = 67535/18 - 3748. What is the common denominator of v and 5/(105/(-6)) - (-421)/28? 36 Calculate the common denominator of 21/160 and ((-2 - 1) + (-2318)/76)/14. 1120 Suppose -3*f - f - 4*z = -32, 5*z + 10 = 0. What is the smallest common multiple of 3 + 592/20 + 4/f and 30? 330 Let m = 355/46 - 205/23. Let r = 649523/316860 - -2/15843. Calculate the common denominator of r and m. 460 Let f(i) = i + 1. Let m be f(2). Suppose 12 = m*v, v + 38 = 3*u + 3*v. What is the least common multiple of u and 28? 140 Let f(z) = -1 + 3 + 3 - 2 + 7*z. Find the common denominator of f(-5) and 77/8. 8 Let j(d) = -d**3 + d**2 + 10*d - 16. Calculate the lowest common multiple of j(-4) and 57. 456 Suppose -20*k = -16*k + 24. Find the common denominator of 2/k - (-623)/294 and -77/54. 378 Let o = 2787/14 + -199. What is the common denominator of -37/8 and o? 56 Suppose 0 = 7*n - 5*n + 4. Let x = -11131/6 - -1864. Calculate the common denominator of n + 4/(-96)*-33 and x. 24 Let i(c) = c**3 - c**2 + c + 10. Let y be i(0). Suppose 2*a - 20 = -2*a. Suppose y + 6 = -4*z - 4*f, -a = f. What is the least common multiple of 8 and z? 8 Let s = -168881/18 + 9387. Find the common denominator of s and 95/14. 126 What is the common denominator of -2 - ((-517)/84 - -3) and -81/8? 168 Let x(v) = 4*v**2 + 9. Let u be x(-3). What is the smallest common multiple of ((-240)/u)/(4/(-6)) and -2 + (-7)/(21/(-36))? 40 What is the common denominator of -25/8 and 4/(-10) - (-220)/90? 360 Let b = -679 + 793. What is the lowest common multiple of 66 and b? 1254 Let h(u) = 6*u**3 - 3*u + 3. Let t be h(2). Suppose 0*k - t = -5*k. Let c(n) = n**2 + 8*n - 4. What is the least common multiple of k and c(-9)? 45 Find the common denominator of 75/64 and (1203/(-240) + 5)/((-1)/(-206)). 320 Let s(q) = q**2 + 9*q + 12. Let t be s(-7). Let j(b) = 13*b**2 - 3*b - 10. What is the least common multiple of j(t) and 8? 48 Let p = 12653150904234/1006754543 - 6/32475953. Let c = p - 12566. Let h = -1641/248 - c. What is the common denominator of -1/7 and h? 56 Suppose -37*v = -5 - 143. Calculate the smallest common multiple of 74 and v. 148 Let b be ((-120)/9)/(1/(-3)). Let k = -18 + b. Let u = k + -21. What is the smallest common multiple of u and 8? 8 Find the common denominator of -695*(-12)/(-13440) + (-2)/(-7) and 67/84. 672 Let b = -10673/168 - -967/14. What is the common denominator of b and 4 - (1 - (-322)/10)/(-27 - -39)? 120 Let c(s) = s**2 + 5 - s**3 - 1 - 4*s**2. What is the least common multiple of (18/8)/((-21)/(-56)) and c(-4)? 60 Let b = 189/19 + -2028/95. Find the common denominator of -43/10 and b. 10 Let c(y) be the first derivative of y**2/2 - 7*y + 11. Let d be c(0). Let t(m) = -6*m - 21. Calculate the common denominator of -55/34 and t(d). 34 Let s = 1162 + -1048. What is the least common multiple of 36 and s? 684 Let i(k) = -47*k + 2. Let w be i(1). Let h be 6162/(-160)*(-5)/w. Let u = -11/80 + h. Calculate the common denominator of 145/24 and u. 24 Calculate the common denominator of 7/(147/6) + 4120/7728 and -71/22. 1518 Suppose 21*n + 309 = 5307. What is the lowest common multiple of n and 9? 2142 Suppose 0 = 2*f - 266 - 264. Calculate the lowest common multiple of f and 10. 530 Let s be (4 + -10)*(-2)/3. Suppose 8 = 2*p - s*n, 0*p - 1 = -3*p - 5*n. Calculate the least common multiple of 11 and p. 22 Suppose 4 = -x - 0. Find the common denominator of (2/x)/((-56)/(-525)) and 39/4. 16 Let k = -121/8 + 93/8. Find the common denominator of (36/(-48))/(1/3) and k. 4 Let c = -132079/12 + 11017. Calculate the common denominator of c and 5/24. 24 Let i = 134500/63 - 19202/9. Find the common denominator of i and 121/36. 252 Let t = -28 + 30. What is the common denominator of (24/(-54))/(t/12) and 52/33 - (-8)/(-12)? 33 Let x = 2 - 2. Suppose -b + 0*b + 16 = x. Suppose -15*n - 5*n - 9 = -49. What is the least common multiple of n and b? 16 Let a = 17 - 8. Suppose -4*p + 8 = -3*o - o, -5*o = -2*p + 10. Suppose p = -2*v - 5*q + 37, 2*v = -2*q + 3 + 19. Calculate the least common multiple of a and v. 18 Let h be -6*4/(-8)*-1. Let i be h/((-5)/2 + 4). What is the common denominator of i/5 + (-2068)/(-120) and -1/16? 48 Let u(o) = o**3 + 9*o**2 + 3*o + 9. Let f be u(-8). Let d = f + -42. Calculate the least common multiple of d and 49. 49 Suppose 4*m - 8 = -0. What is the smallest common multiple of ((-20)/(-2))/(-2) - (1 + -10) and m? 4 Suppose 0 = 5*p - 4*y - 63, -5*y - 22 + 1 = -p. What is the lowest common multiple of 3 and p? 33 Let v = 83275/18 + -4625. Find the common denominator of -7/30 and v. 90 Let a = 205703 + -1649427/8. Let p = a - -476. Let f = 0 + -15. Calculate the common denominator of f and p. 8 Suppose c = -4*s + 13, 5*s + 11*c = 10*c + 17. Calculate the least common multiple of 4 and s. 4 Let k = -545633/36 - -15153. What is the common denominator of -47/52 and k? 468 Suppose -4*j + 127 = -3*v, v - 5*j = 6*v + 235. Let a = v - -65. Calculate the lowest common multiple of 12
{ "pile_set_name": "DM Mathematics" }
103 Let q(p) = -p**3 - 6*p**2 + 7*p + 1. Suppose -5*u = n + 32, u = -2*n - 2*u - 29. Let g be q(n). List the prime factors of (g - -24)*(-12)/(-15). 2, 5 Let c(k) = k + 8. Let l(a) = 8*a - 16. Let i(f) = -4*c(f) - 2*l(f). Suppose r - 4*r = 3. List the prime factors of i(r). 2, 5 Let m(h) = 4*h + 3 + 11 + 1. Let n be m(10). Suppose 4*w + w = -10, 0 = d + w - n. List the prime factors of d. 3, 19 Let n be 4 + ((-2)/(-4))/((-1)/2). Suppose -n*h - 3*x = -297, h - 93 = -10*x + 6*x. What are the prime factors of h? 101 Suppose 0 = 2*f - f - 38. Let o = f + -37. Suppose 4*x = 225 - o. What are the prime factors of x? 2, 7 Suppose -3*l + 7*u = 2*u - 10, -l - 3*u + 8 = 0. Suppose 6 = 3*i + l*j, j + j = 0. Suppose -5*f = -18 - i. What are the prime factors of f? 2 Let w(z) = 219*z**2 - 1. Let j(k) = -k**3 - 7*k**2 - k - 8. Let q be j(-7). List the prime factors of w(q). 2, 109 Let i = 1031 + -921. What are the prime factors of i? 2, 5, 11 Let n = -1518 - -3323. What are the prime factors of n? 5, 19 Let c = 15 + -32. What are the prime factors of 1/(-2)*102/c? 3 Suppose 3*o = 3*s + 12, s = 3*o + 2*o - 20. Suppose 4*d = r + 29 + 138, o*r - 20 = 0. List the prime factors of d. 43 List the prime factors of ((-2)/1)/((-20)/17300). 2, 5, 173 Let f = 128 - 59. Let j = -36 + f. Let o = j + -17. What are the prime factors of o? 2 Let n = -23 - -25. Suppose -10 = -4*s - n. What are the prime factors of -1*s/(-4)*134? 67 Suppose 0 = -2*r + 3*o, -3*r + 3*o - 12 = r. Let p(k) = -6*k + 1. Let w(z) = -13*z + 2. Let j(d) = 9*p(d) - 4*w(d). List the prime factors of j(r). 13 Let n be ((-96)/8)/((0 - -2)/6). Let l = n + 124. What are the prime factors of l? 2, 11 Suppose -6*b + 2*b = 60. Let s be (-6)/9*b - -1. Let w(p) = p**2 - 7*p - 14. List the prime factors of w(s). 2, 3, 5 Let i(z) = z**3 + 4*z**2 - z - 2. Let a be i(-4). Let k = 40 - 37. List the prime factors of k - (a + -1)*-1. 2 Suppose -72 = -g - 68. Suppose 0 = -2*q + 5*i + 228, 2*q + g*i = -0*i + 246. List the prime factors of q. 7, 17 Suppose -2*q = 3*q - 5. What are the prime factors of 130 + 12/(-3) + q + 2? 3, 43 Let h(p) = 7*p**3 - 9*p**2 + 17*p - 44. Let i(w) = -11*w**3 + 13*w**2 - 25*w + 65. Let f(a) = 8*h(a) + 5*i(a). What are the prime factors of f(8)? 5 Suppose 0 = -8*t + 10*t - 850. What are the prime factors of t? 5, 17 Suppose 5*i + 4*f = 1160, 0 = -3*i + 4*f - 9*f + 683. What are the prime factors of i? 2, 59 Let z = -2 - -15. Let n = 19 - z. Suppose -4*m + 5*h + 44 = 0, -3*m + n*m + 4*h - 2 = 0. What are the prime factors of m? 2, 3 Let k(d) = -2*d - 5. Let z be k(0). Let h(f) = f**3 - 5*f + 12. Let c be h(z). Let x = -36 - c. What are the prime factors of x? 2, 13 Suppose 0 = -3*c - 2 + 23. Suppose 5*u - 68 = c*u. List the prime factors of (-3)/(u/11 + 3). 3, 11 Let h = -850 - -1535. List the prime factors of h. 5, 137 Suppose 5*u - 3954 = -4*b + 19, 4*b = 5*u - 3997. List the prime factors of u. 797 Let d = 95 - 44. Suppose -10*j - 1 + d = 0. List the prime factors of j. 5 Suppose -2*g = 3*s - 520, -s - 264 - 272 = -2*g. List the prime factors of g. 2, 7, 19 Let t(r) = r**3 + 9*r**2 - 2*r - 12. Suppose 10 - 28 = 2*j. Let p be t(j). List the prime factors of (2 + (-52)/p)*-3. 2, 5 Let i(j) be the second derivative of j**5/20 - j**4/6 - 7*j**3/6 + 2*j**2 + 35*j. What are the prime factors of i(6)? 2, 53 What are the prime factors of (-566)/((-17)/((-51)/18) + -7)? 2, 283 Let p(m) = -m**3 + 8*m**2 - 4*m. Let q(t) = -t**2 + t - 1. Let x(y) = p(y) + 4*q(y). Let w be x(4). What are the prime factors of (123/(-12) + 2)*w? 3, 11 Suppose 20*n = 21*n - 113. Let u = n - 33. What are the prime factors of u? 2, 5 Let j be 3/((2/10)/((-154)/105)). What are the prime factors of 70/(-22) + 3 - 356/j? 2 Let y(p) = 11 + 10 + 0 - 8 + 2*p + 5*p**2. What are the prime factors of y(5)? 2, 37 Let a = -4 + 7. Suppose 4*b + a*c + 13 = 83, -2*b - 5*c = -28. Suppose -g - t = -b, 3*g + t - 47 = 3*t. What are the prime factors of g? 17 Suppose 0 = -9*i + 11*i. Let m be 4 - i/1 - 2. Suppose -m*n - 2*n = -80. List the prime factors of n. 2, 5 Suppose -4*p + 7 = -5. Let u(y) = -p + 1 - 2*y + 0 + 4. List the prime factors of u(-7). 2 List the prime factors of -4 + -1 + (-4 - -912 - 7). 2, 7 Suppose 312 = -0*l + 4*l. Let h = l - 42. List the prime factors of h. 2, 3 Suppose -3*f = 2*f - 4*l + 11, 2*l = 5*f + 13. Let m be 152/6 + f/9. Suppose o - m = 2*d - 0, 5*o + d - 125 = 0. List the prime factors of o. 5 What are the prime factors of (-1390)/(-4)*11/(495/72)? 2, 139 Let n be (-150)/(-20)*5/((-30)/(-8)). Suppose -388 = -4*h - 2*j, -3*j + n = 2*j. What are the prime factors of h? 2, 3 Let j(v) = -4*v + 10. Let q be j(0). Let i(n) = -n**3 + 9*n**2 + 12*n + 18. What are the prime factors of i(q)? 2, 19 Let b be (-30)/(-2)*(-3)/(-9). Suppose 2*v - 34 = -b*k, 0 = 3*v - 4*k - 5 - 46. What are the prime factors of v? 17 What are the prime factors of -8*(405/(-4) - 1)? 2, 409 Suppose -4*f = -21*f + 68. Let s(w) = -w**3 + 10*w**2 - 2*w + 6. What are the prime factors of s(f)? 2, 47 Let h(y) = -y**3 + 7*y**2 - 6*y + 16. Let c be h(6). Suppose -5*u = -c*u + 979. List the prime factors of u. 89 Let x be (-3)/1 - 1/(-1). Let n be (-2)/(-4)*(-8)/x. Suppose -n*m + 5*g + 57 = 0, 0 = 3*g + 2*g + 5. List the prime factors of m. 2, 13 Let y be (-3)/(-4) - 3/4. Suppose -3*g + g = y, 0 = -2*l - 5*g + 14. Suppose 45 = -2*f + l*f. List the prime factors of f. 3 Let f = -754 + 2801. What are the prime factors of f? 23, 89 Suppose 0 = 3*h + 2*w - 1340, 2*h = 7*w - 8*w + 894. List the prime factors of h. 2, 7 What are the prime factors of (0 - -4) + 1422 + 7? 1433 List the prime factors of 3 + 5 - 3 - -881. 2, 443 Suppose -2*v - 7806 = -5*o, -2*v - v - 9 = 0. Suppose 2*c = 7*c - o. List the prime factors of (3/(-12))/((-6)/c). 13 Suppose 75 = 5*x - 5. Suppose -3*b = k - 8, -3*k - 5*b + x = -0*k. Suppose -5 = -k*s + 69. List the prime factors of s. 37 Let v be ((-9)/(-6))/((-2)/(-4)). Let m(d) = d**3 + 0 + d**2 + 12*d - 3*d**2 - 8*d - v. What are the prime factors of m(3)? 2, 3 Suppose 0 = 8*k - 0*k - 256. Suppose k = 4*j - 4*x - 92, 2*j = -3*x + 52. What are the prime factors of j? 29 Let v = 1567 - 888. What are the prime factors of v? 7, 97 Let f(p) = -p**3 - 3*p**2 + 6*p + 11. Suppose 2*g = 5*g + 15. List the prime factors of f(g). 31 Suppose 4*z - 2706 = -218. What are the prime factors of z? 2, 311 Let r = 10 + -7. Let d(y) be the third derivative of y**5/20 + 2*y**3/3 + 4*y**2. What are the prime factors of d(r)? 31 Suppose 0 = -0*r + 4*r. Suppose 5*v = v - 5*g + 10, 4*v - g + 2 = r. Suppose 3*y - 57 - 18 = v. List the prime factors of y. 5 Let z be (-410)/70 - (-2)/(-14). Let j = 9 + -6. Let f = j - z. List the prime factors of f. 3 Suppose 0 = -15*a + 3*a + 60. Suppose -2*g = 5*q - 13, 3*g = 4*q - g - 16. List the prime factors of a - (q + 0) - -3. 5 Suppose -2*a = 2*h - 2464, 2440 = 2*h - 4*a - 0*a. What are the prime factors of h? 2, 307 Let r = 198 + -114. Suppose 3*q + 0*x = -3*x + r, 5*q = -4*x + 139. Suppose q = 2*b - 19. List the prime factors of b. 23 Let h(k) = -k**2 - 5*k - 2. Let r be h(0). List the prime factors of -1*17/r*10. 5, 17 Suppose 2*l - 9 = -3. Suppose 2*a - 64 = -5*j + 3*a, 0 = j + l*a. Let q = -10 + j. List the prime factors of q. 2 List the prime factors of ((-263)/(-2) + -7)/(6/8). 2, 83 Let s = 49 + -18. Let p = 50 - s. List the prime factors of p. 19 Let q(a) = 83*a - 81. What are the prime factors of q(9)? 2, 3, 37 Let a = 15 - 13. What are the prime factors of ((-42876)/42)/(-6) - a/14? 2, 5, 17 Suppose -7*y = -4871 + 1777. List the prime factors of y. 2, 13, 17 Let z be (-1)/3 - 2/(-6). Suppose z*s = 2*s + 12. Let t(g) = g**2 + 4*g + 6. What are the prime factors of t(s)? 2, 3 Let u(m) = 12*m + 85. What are the prime factors of u(3)? 11 Let p be (-1)/(-3)*24/2. Suppose 2*q - 71 = 5*n - 803, -608 = -p*n - 4*q. What are the prime factors of n? 2, 37 Let b(c) = 3*c**3 - 11*c**2 - 4*c + 8. List the prime factors of b(8). 2, 101 Let l = -9771 + 13816. List the prime factors of l. 5, 809 What are the prime factors of (32/(-96) + (-2)/(-3))*141? 47 Suppose u + 372 = 3*o, -5*o = 3*u + 324 - 944. Suppose 3*y - o = 56. Suppose -3*z + y = -4*s, -4*z + 0*s = 5*s - 49. List the prime factors of z. 2 Let n = 351 + 480.
{ "pile_set_name": "DM Mathematics" }
4*k**4 + 1 - 1 + (k + 2*k**4 - k)*(-3 + 4 + 0) + k**4 + 2*k - 2*k. 7*k**4 - 3 Expand -2*o**3 - 3*o**3 - o**3 + 0*o**3 + o**3 + 0*o**3 + (-2*o - 1 + 1)*(o**2 + 5*o**2 - 4*o**2). -9*o**3 Expand 2*x**5 + 30*x - 3*x**2 - 32*x - x**5 + (-3*x**2 + 7*x**2 - 2*x**2)*(4*x**3 - 6*x**3 + 0*x**3). -3*x**5 - 3*x**2 - 2*x Expand (b**2 + 3 - 3)*(3*b**3 + 2*b**3 - 2*b**3) + (0*b**4 + 2*b**4 + 0*b**4)*(-2*b + 3*b - 8*b). -11*b**5 Expand (1 + 5 - 2)*(-b**2 - 2*b**5 + b**2) + 0*b**5 + 0*b**5 - 4*b**5. -12*b**5 Expand (2*v**2 - 2*v + 2*v + (1 + 2 - 1)*(-2 + v**2 + 2) - 5*v + 2*v**2 + 5*v)*(5*v**3 + 26*v**3 + 5*v**3). 216*v**5 Expand ((r + 0*r - 2*r)*(-4*r + 4*r + r) - 4*r**2 - r**2 + 16*r**2 + 8)*(-1 - r + 1). -10*r**3 - 8*r Expand -2*s**2 - s**3 + 2*s**2 - 2*s**2 + 2*s**2 - s**3 + (2 - 2 + 2*s**3)*(1 + 1 + 0) - 3*s + 3*s + s + 2*s**3. 4*s**3 + s Expand (m + m - 3*m + 3 + 2*m - 3 + (0 - 3 + 5)*(-4*m + m + m) - m - 3 + 3)*(56 - 83 + 45). -72*m Expand (-4*f + 4 - 4)*(-3 + 2 + 2 + (1 - 4 + 2)*(4 + 2 - 4)). 4*f Expand (4*u**2 - 6*u**2 - 2*u**2)*(2*u**3 + 2*u**3 - 3*u**3). -4*u**5 Expand (-52 - 9 + 9)*(y + 3*y - 5*y). 52*y Expand (-3 - 1 - 1)*(4 - 4 + 1)*(-2*i + 2*i - i**4). 5*i**4 Expand (2*b - 4 + 4)*((0*b**2 + 2*b**2 - b**2)*(-2*b - 1 + 1) + 0*b**3 + 2*b**3 - b**3 - 3*b**3 - 7*b**3 + 21*b**3 - 2*b**3 + b - b). 16*b**4 Expand -2*n**3 - 2*n**2 + 2*n**2 + (-2*n + 6*n - 3*n)*(0*n**2 + 3*n**2 - 5*n**2) + 3*n**3 - 4*n**3 + 0*n**3 + (n**2 - 7*n**2 + 0*n**2)*(-4*n + 0*n + 5*n). -11*n**3 Expand (0 - 2 + 0)*(5*u + 2 - 2). -10*u Expand (1 - 3 + 0)*(-2*w**2 - w + w) - 5*w**2 + w + 2*w**2 + 4*w**2. 5*w**2 + w Expand (-m**2 + 0*m**2 - m**2)*(4*m**2 - 7*m**2 + 2*m**2) + (-3 - m + 3)*(-m**3 + 0*m + 0*m). 3*m**4 Expand (3*d + 0*d - 2*d)*(-3*d - 3*d + 7*d) + (-25*d + 267 - 267)*(0*d + 4*d - 2*d). -49*d**2 Expand (30*n**4 - 2*n**3 + n**3 - 12*n**4)*(-3 + 6 - 2)*(-1 + n + 1). 18*n**5 - n**4 Expand (-9*v - 4*v - 13*v)*(-v + 2*v + 0*v). -26*v**2 Expand (t**3 + 0*t**3 + t**3)*(0 + 0 + 2*t)*(4 - 4 + 2) + 2*t**4 - t**3 + t**3. 10*t**4 Expand (-4*s**3 + 2*s**3 + 0*s**3)*(5 - 2 - 2) + 0*s**2 - s**3 - 4*s**2 + 0*s**3. -3*s**3 - 4*s**2 Expand -67*c + 67*c + 2*c**4 + (-2*c + c - c)*(0*c**3 + 4*c**3 - c**3). -4*c**4 Expand (-2*o**2 + 7*o**2 + 0*o**2)*(1 - 6 + 1). -20*o**2 Expand (-6 + 1 - 5)*(-5*o + 2*o + o). 20*o Expand (0*m + 0*m + m)*(-6 + 0 + 0). -6*m Expand (-2*f**4 - 2*f**4 + 2*f**4)*(4 - f - 4) + f**5 + 2*f**2 - 2*f**2 + (2*f**3 - f**3 + 0*f**3)*(4*f**2 - 5*f**2 + 2*f**2) - 18*f**4 + 18*f**4 - 5*f**5. -f**5 Expand (-2*z**2 + 2*z**2 + 2*z**2)*(-37*z - 46*z + 0*z). -166*z**3 Expand -4*k**2 - 2*k**2 + 4*k**2 + (15 + 7 - 4)*(2 - 2 - 3*k)*(4 - 4 + k). -56*k**2 Expand (2*y**2 - 8*y**3 - 2*y**2)*(-y + 0*y + 2*y). -8*y**4 Expand (-2 + 4 + 4)*(-5 - 2*x**2 + 5) + (0*x + 0*x - x**2)*(2 + 0 - 7). -7*x**2 Expand (6 - 4 - 1)*(0*a + 3*a - 5*a) - a + 5 - 5 + (a + 2*a - 2*a)*(-4 - 3 + 6). -4*a Expand (3*j + 4 + 0 - 2*j + (-3 - 1 + 5)*(5*j - 5 + 5))*(1 + 0 - 4). -18*j - 12 Expand (-4 - 2 + 4)*(f**2 - 4*f**2 + f**2) - 5*f**2 + 0*f**2 + 3*f**2 + f**2 + 3*f**2 + 12*f**2. 18*f**2 Expand (-2 - 3 + 3)*(-o**4 - o**4 + 3*o**4) - o**2 - o**4 + o**2 + (-1 - o**4 + 1)*(1 - 2 + 3). -5*o**4 Expand (-10*h + 10*h - 6*h**3)*(-3 + 0 + 8)*(2*h + 0*h + 0*h). -60*h**4 Expand -3*q - 4*q**3 + 3*q + (6*q**2 + 5*q**2 - 5*q**2)*(2*q - 6*q + 2*q). -16*q**3 Expand ((s + 0*s - 3*s)*(-5 + 4 - 1) - 2*s + 0*s - s)*(-4*s + s + 2*s + 2). -s**2 + 2*s Expand (3*m + 0*m - m)*(3 - 2 + 0 + 6*m). 12*m**2 + 2*m Expand (10 + g - 3 + 8)*(-3*g - 2*g + 6*g). g**2 + 15*g Expand (4 - 1 - 1)*(1 + 33 - 2)*(5*b - 3*b + 0*b). 128*b Expand (-a**2 + a**2 + 2*a**2)*(18*a - 7*a - 14*a) + (-4 - 2*a**2 + 4)*(-2*a + 3*a - 3*a). -2*a**3 Expand (y - y - 2*y)*(1 - 1 - 81*y - 2). 162*y**2 + 4*y Expand -2*t + 3*t**2 + 2*t + 2*t**2 - 2*t + 2*t + (t + 3*t - 3*t)*(-t - 5*t + 5*t) + t**2 - t**2 + 2*t**2 + (-t + t + 2*t)*(0*t + 0*t + t) + t**2 - 2 + 2. 9*t**2 Expand -3*w**5 + 5*w**5 + 3*w**5 - 3*w**5 - w**5 - 2*w**5 + (5*w - 4*w + 0*w)*(-w**4 + 2*w**2 - 2*w**2). -2*w**5 Expand (-8*o + 5*o - 5*o)*(6*o**3 - 4*o**3 - o**3). -8*o**4 Expand -2*f**2 + 2*f**2 + 2*f**2 + (1 + 2*f**2 - 1)*(-5 + 4 + 3) + (f + f + f)*(3*f - 2*f + f) + 2*f**2 + 3*f**2 - 6*f**2. 11*f**2 Expand 2*j**2 - j**2 - 3*j**2 - 2*j**2 + 5*j**2 + 0*j**2 + (4 - 3 + 1)*(-j**2 + 0*j**2 + 2*j**2) + 3*j**2 - j**2 + 0*j**2. 5*j**2 Expand (-3*x**2 - x**2 + 6*x**2)*(x**3 + x**3 + x**3) + (-2*x**4 + 4*x**4 - x**4)*(-2*x - 5 + 5). 4*x**5 Expand (1 - 1 + 2*b**4)*(3*b + 8*b - 3*b) - b**5 + 4*b**5 - 2*b**5. 17*b**5 Expand (3 + 0 - 1)*(-2*o**4 + 2*o**3 - 2*o**3 + (3*o**3 + 2*o**3 - 6*o**3)*(1 - 1 + 3*o) + o**4 - o**4 + o**4). -8*o**4 Expand 2*b + 5*b**3 - 4*b - 4*b**3 + 5*b**3 + 2 - 2 + (-4*b**2 + 3*b**2 + 0*b**2)*(-2 - 2*b + 2) - b**3 - b**3 + 3*b**3. 9*b**3 - 2*b Expand (-8*b + 28 - 28)*(-3*b**4 + 3*b**4 + 3*b**4). -24*b**5 Expand (-4 - 10*a**2 + 4)*(3 - 4 + 3). -20*a**2 Expand (5*b - 5*b + 2*b**2)*(3 - 23 - 1). -42*b**2 Expand (3 - 1 + 0)*(1 - 1 + 1)*(2 + 3 - 2)*(-2*k + 3*k - 2*k). -6*k Expand (-2*x + 2*x + 4*x - 1)*(0*x**2 - 4*x**3 + 0*x**2). -16*x**4 + 4*x**3 Expand (-2*m**2 - m**2 + m**2)*((1 + 1 - 1)*(-1 + 0 + 3) - 2 - 3 + 6 + 5 - 5 - 1 + 1 - 3 + 4 + 8 + 1 + 5). -36*m**2 Expand (-2*f + 5*f + 0*f)*(-3 + 2 + 0) - 6*f + 3*f + 0*f. -6*f Expand (-2*j - 2*j + 5*j)*((2*j - 2*j + 2*j)*(13*j**3 - 4*j**3 + 11*j**3) - j**4 - 3 + 3). 39*j**5 Expand (0 + 4 - 2)*((w + w + 0*w)*(1 + 2 - 2) - 10*w - 12*w + 13*w). -14*w Expand (0*p - p - 6*p)*(p - p - p + (2 + 2 - 3)*(3*p + 2*p - 6*p) - p + 0*p + 0*p). 21*p**2 Expand (-7*x**2 + 0*x**2 + 8*x**2)*(2*x + 0 + 0)*(-x**2 + x**2 + 2*x**2). 4*x**5 Expand (l**2 + 2*l**2 + 0*l**2)*(-5 + 5 - 1)*(-l + 4*l**2 + l)*(-3 + 3 + l) - 3*l**5 + 3*l**5 - 2*l**5. -14*l**5 Expand (p - p - 2*p)*(-5*p**3 + 5*p**3 + 2*p**4) + (-6*p + 2*p - 4*p)*(2*p + 3*p**4 - 2*p). -28*p**5 Expand (4*t**5 - t**5 - 4*t**5)*(-5 + 4 - 1) + 2*t**5 + 0*t**5 - t**5 + 5*t**3 + 9*t**5 - 2*t**3 - 2*t**3. 12*t**5 + t**3 Expand (4*m + 6*m + 42 - 44)*(2 + 1 - 1). 20*m - 4 Expand (-12*u + 36 - 36)*(1 + 2*u - 1) - u**2 - 2*u**2 + u**2 + (1 + 2*u - 1)*(-u + 5*u - 6*u) + 3 + u**2 - 3. -29*u**2 Expand 5*c**3 - 5*c**3 + c**5 + (-c + 0 + 0)*(c**4 - c**4 - 2*c**4) - c**2 + 14*c**5 + c**2. 17*c**5 Expand (i**2 + 0*i**2 + 3 - 5)*(-6*i**2 + 8*i**3 + 6*i**2). 8*i**5 - 16*i**3 Expand 4*o**4 - 3*o**4 - 3*o**4 + (10*o**3 - 18*o**3 - 6*o**3)*(2*o + 0*o + 0*o). -30*o**4 Expand (-4 - 2*b + 3 + 3*b)*(-3 - 9 + 2)*(-5*b + 3*b - 3*b) - 4*b**2 - 3*b**2 + 5*b**2. 48*b**2 - 50*b Expand (-v**3 + 3*v**3 - 3*v**3)*(-v - v + v)*(-2 + 0 + 0)*(12*v - 5*v + v). -16*v**5 Expand (-2663*i + 39*i**2 + 2663*i)*(-6 + 3 + 1). -78*i**2 Expand (t**3 - t**3 - t**3)*(-172 + 25 - 45 - 101). 293*t**3 Expand (f + 4*f - 3*f)*(-2*f**3 + f**3 + 0*f**3) + 22*f**4 - 54*f**4 - 23*f**4. -57*f**4 Expand (d + 0*d - 3*d)*(d**3 + d**3 + d**3)*(2 - 2 + 2). -12*d**4 Expand (5 - 5 + 3*u)*(-1 + 1 + 2)*(-2 + 0 - 1) - 2*u + 3 - 3. -20*u Expand 1 + q**3 - 1 + 1 - 1 - q**3 + (-1 + 1 - 2*q**3)*(0 + 0 - 1) - q**3 + q**2 - q**2 + 2*q**3 + q**3 + 0*q**3 + (-3 + 0 + 2)*(3*q**3 - 2*q**3 - 3*q**3). 6*q**3 Expand (-g + 0*g - 3*g)*(-2 + 2 - 4)*(1 - 3 + 1). -16*g Expand (-2*l + 3 - 3)*(21*l - 11*l + 9*l). -38*l**2 Expand u**2 + 4*u - 7*u + 0*u**2 + (-6 - 9*u + 6)*(0*u - u + 2*u). -8*u**2 - 3*u Expand (-3*m**2 + 3*m**2 - m**4)*((-m + 0 + 0)*(1 + 0 - 2) - 7 - 4*m + 2 + 1). 3*m**5 + 4*m**4 Expand (3*j**4 + 2*j**4 - 3*j + 5*j)*(0 - 2 - 3). -25*j**4 - 10*j Expand (-5*k**2 - 1 + 1 + (-k + 5 - 5)*(-2*k + 3 - 3))*(k - 4*k + 2*k). 3*k**3 Expand (-3*y + 16 - 12 + y)*(5 + 0 - 4)*(1 - 3 + 3). -2*y + 4 Expand (-2*c - 2*c + 5*c)*(-13 - 40 - 1). -54*c Expand (-1 + 2*y**2 + 1 + (3*y - y - 3*y)*(2 + y - 2) + 2*y - 2*y + 2*y**2 + 2*y**2 - 2*y**2 + y**2)*(0 - 2 + 1)*(4*y**2 + 0*y**2 - 3*y**2) + 0 + y**4 + 0. -3*y**4 Expand (4 + 0 - 3)*(-3*p**2 + 2*p**2 - 3*p**2) + 0*p**2 + 3*p**2 - 2*p**2. -3*p**2 Expand (-i**2 - 1 + 1)*(i - 6*i + 3*i) - 5*i**3 + 3*i**3 + 3*i**3 + (2 - 2 + 1)*(-2*i**3 + 2*i**3 - 4*i**3) + (0*i - 2*i - i)*(i**2 - 3 + 3). -4*i**3 Expand (-6*b**4 - 3*b + 0*b + 5*b)*(-2*b + 8*b + 0*b + (b + 2*b - 5*b)*(4 - 6 + 1)). -48*b**5 + 16*b**2 Expand (4*r - 3*r - 2*r)*(4*r**2 + 4*r**2 - 5*r**2) + (-2*r**2 + 2*r**2 - 2*r**2
{ "pile_set_name": "DM Mathematics" }
l a composite number? True Is (-4)/(-26) + 11068/52 prime? False Is 4*(3/((-48)/(-6676)) + -3) prime? True Suppose 3*s - 508 = -s. Is s a prime number? True Suppose 4*z = 565 - 57. Is z composite? False Let z = 5 - 5. Suppose 3*n - 42 = -5*b, 98 = 5*n - b - z*b. Suppose -121 - n = -4*w. Is w prime? False Let r = 291 + 91. Is r prime? False Let k(g) = -g**2 + 7*g + 10. Let o be k(8). Let h be (186/(-4))/(o/(-4)). Suppose 4*y - 47 = h. Is y prime? False Suppose 0 = -3*r + 3*q - 3, -5*r + 0*q + 31 = 4*q. Suppose -r*o + 3*y = y - 103, 3*o - y = 107. Is o prime? True Let u(o) = o - 2. Let h be u(7). Suppose -5 = -p, 7*r - 237 = 3*r - h*p. Is r prime? True Let o(w) = -w + 10. Let n be o(7). Is (-6)/18 + 34/n composite? False Suppose 0 = -11*u + 6*u + 25. Suppose 5*q + 1079 - 225 = 2*l, -3*l + 1271 = -u*q. Is l a prime number? False Let s = 3 - 0. Suppose -3*z = 3*w - 15, z - s = 4*w + 2. Let p(b) = 33*b - 4. Is p(z) prime? False Suppose s - j - 6 = -0*s, 5*j = -3*s + 2. Suppose -b - 6 = -s*b. Suppose 6*i = b*i + 84. Is i prime? False Suppose 8 = q - k, -q = q + 2*k. Suppose -w + 4*w - q*r = -190, 5*w = -3*r - 307. Let j = 65 - w. Is j composite? False Suppose 3*h + 2*m = 1417, 4*m = -4 - 0. Is h a composite number? True Let x be 51 - (-1)/(2/4). Suppose -5*g = -k - x, 4*k - 38 = -6*g + g. Is g prime? False Let h = 8 - 4. Suppose 3*q + 60 = 3*x, -3*q = -x - h*x + 56. Let j = 36 + q. Is j a composite number? True Let u(l) = l**3 - 6*l**2 - 4*l + 4. Suppose 5*n - 2*n - 21 = 0. Let d be 2/n - (-282)/42. Is u(d) a prime number? False Let d(z) = -z**2 - 12*z - 6. Is d(-9) composite? True Let f(s) = -4*s - 1. Let j(k) = -2*k. Let h(b) = -4*f(b) + 9*j(b). Is h(-5) prime? False Suppose 0 = 3*q - 3, -4*q = -n + q + 948. Is n composite? False Let m(a) = a**2 + 7*a + 1. Let q be m(-8). Let n(y) = 49*y - 3. Let p(v) = 99*v - 7. Let w(s) = q*n(s) - 4*p(s). Is w(2) a prime number? False Let q = 812 + -525. Let a = q - -162. Is a a prime number? True Let c(v) = 3*v + 8. Let j be c(-5). Is (-2672)/(-7) - 2/j a prime number? False Let i = 168 + 419. Is i a composite number? False Suppose -64 = -f + 25. Let c = f + -36. Is c composite? False Is 9510/75 + (-1)/(-5) a prime number? True Let k(x) = 9*x + 0 - 3 - 5 + 4 + x**2. Let d be k(-10). Is 497/9 + d/(-27) composite? True Let s = 42 - 5. Is s composite? False Suppose -61 = -2*f + 13. Suppose 20 = 3*q - f. Is q composite? False Let r(t) = t**3 - 11*t**2 + 13*t - 1. Is r(14) prime? True Is ((-8095)/(-1))/1 - 2 a composite number? False Let f(d) = 5*d**2 - d + 1. Let x be f(1). Suppose x*b + 30 = 295. Is b composite? False Suppose 5*b - 448 - 342 = 0. Is b prime? False Let a be (8/10)/((-14)/(-2275)). Suppose -4*c + 458 = a. Is c composite? True Let b(m) = 157*m. Is b(1) a prime number? True Suppose 518 + 2 = -a. Let f = -227 - a. Is f composite? False Let a(i) be the third derivative of i**5/30 + i**4/12 - 5*i**3/6 + i**2. Let p(g) = -3*g - 13. Let j be p(-3). Is a(j) a prime number? True Suppose 39 = -5*n + 8584. Is n composite? False Is ((-484)/(-14) - 2) + (-3)/(-7) a prime number? False Let u(d) = -d**2 + 2*d + 614. Is u(0) a composite number? True Let w(s) = 132*s**3 - 2*s**2 - 5*s - 4. Is w(3) a prime number? True Let d = -7 + 17. Is d prime? False Let k be (-1665)/25 - 2/5. Let u = k + 95. Let o = u - 7. Is o a prime number? False Is (185/(-20))/(2/(-24)) a prime number? False Let c(r) = -3*r**2 - r. Let y be c(-1). Is y/4 + (-1561)/(-14) a prime number? False Suppose 0 = -5*u, -4*u + 3 + 3 = b. Suppose -b*l = -2*l - 196. Suppose 0*s + 3*n - l = -s, -3*n = -s + 43. Is s composite? True Let f = 26 - -29. Is f composite? True Let x(f) = -3*f**2 - 3*f + 3455. Is x(0) prime? False Suppose 3*m - 5*d = 72 + 47, -d + 75 = 2*m. Is m composite? True Suppose 990 + 182 = 4*w. Is w a prime number? True Let c = 493 + -294. Is c prime? True Let u(z) = -2*z**3 - z**2 - z - 1. Let v be u(-4). Suppose -3 = -2*j + 3. Suppose 2*d + 103 = -3*s + 6*s, -j*s + v = d. Is s prime? True Let f = -6 + 6. Suppose f = 4*x - o - 692 - 504, 299 = x + 4*o. Is x a composite number? True Let i(l) = 13*l. Let t be i(1). Let z be 0 + 0/(-1) + 24. Let y = t + z. Is y a prime number? True Let d = -115 - 55. Let k = 330 + d. Is 3/(-9) + k/3 a composite number? False Suppose 971 + 41 = 4*y. Let g = -94 + y. Is g a prime number? False Let c = 4 + -4. Suppose 1 = 2*m + 3*j - c, -8 = -3*m + 2*j. Suppose 2*f + 5*d - 51 - 30 = 0, 4*f + m*d - 138 = 0. Is f prime? False Let n = -648 - -2145. Is n prime? False Suppose -a + 69 = -0*q - 3*q, -2*q - 4 = 0. Let o = a - 42. Is o/2 - 6/12 a composite number? True Suppose v + 11 = -u, 0 = 5*u - 3*v - 2*v + 5. Let d(b) = 13*b**2 + 8*b + 2. Is d(u) a composite number? True Let y be 2/9 + (-150)/(-54). Suppose 0*l = y*l - 54. Suppose 3*n - n = l. Is n composite? True Suppose -5*f + 5*m = -725, 3*f - 208 = 2*m + 231. Is f a prime number? True Suppose -5*j + 159 + 454 = 4*o, 451 = 3*o + 2*j. Suppose -4*i = -i - o. Is i a composite number? True Suppose -5*w = -604 - 231. Suppose 0 = -2*r - 3*a + 2*a + w, 0 = -3*r + a + 258. Is r prime? False Let d be (-8 - -2) + 2*-1. Let a be (6/d)/((-5)/20). Suppose -4*k + 27 = p, 53 = a*p - 3*k + k. Is p a composite number? False Let f(s) = s**2 + 3*s - 3. Let g be f(-4). Let r be (-11)/5 + g/5. Is (-128)/(-6) + r/6 a prime number? False Suppose 2*t - 3*v - 11948 = 0, 5*t - 7950 = v + 21907. Is t prime? False Suppose 0 = -p + 2*p - 2. Suppose 1135 = p*z - 5*k, -3*z - 3*k = 2*z - 2791. Is 3/9 + z/3 a prime number? False Suppose -t - c = 0, 0 = 3*t - 2*c - 8 - 12. Suppose 7*b + 2*o - 754 = 3*b, 3*o = -t*b + 749. Is b composite? False Let c = -377 - -628. Is c prime? True Let c(u) = -257*u**3 - 1. Let t be c(-1). Suppose 4*w + 4*f - t = 0, -w - 4*w - 2*f = -317. Let i = w + 50. Is i composite? False Let h = 46 + -130. Let q = 119 + h. Is q composite? True Let b(a) = 1 - 2 - 23*a + 0*a. Let g be b(2). Let o = 70 + g. Is o a composite number? False Suppose 5276 = -7*h + 11*h. Is h a composite number? False Let u(q) = -q**2 + 2*q + 203. Is u(0) prime? False Let x = 33 - 29. Suppose -1203 = -x*k + 5*o, k + 2*o = -3*o + 332. Is k composite? False Suppose -204 = -4*r + 572. Suppose -5*k = -4*q + 833 - 78, 3*k + r = q. Is q a composite number? True Let h(x) be the third derivative of x**9/60480 - x**8/20160 - x**7/720 + x**6/120 - x**5/60 + x**2. Let j(a) be the third derivative of h(a). Is j(4) composite? True Suppose -2*n + 409 = 3*i, -6*i - 2*n = -2*i - 548. Is i a prime number? True Suppose 298 = -4*o - 5*h, 2*h = -4*o - 253 - 39. Let k = 5 - o. Is k a prime number? False Suppose -4*l + 2252 = -320. Suppose 5*o = 442 + l. Suppose m + 2*b - o = 4*b, -1049 = -5*m - 2*b. Is m prime? True Suppose 3 + 2 = -p - 3*v, 0 = 5*v + 15. Suppose -p*z - 353 = -3*q, -129 - 454 = -5*q + 4*z. Is q a prime number? False Suppose -2*f = -4*o - o - 1767, -2638 = -3*f + 5*o. Is f a prime number? False Suppose 0 = 2*x - 14 - 2. Let z(y) = -y**3 + 11*y**2 - 7*y - 5. Is z(x) composite? False Let r(o) = -44*o + 2. Let l be r(-6). Let q be (3 - 1) + (5 - 5). Suppose q*k = -0*k + l. Is k composite? True Let b be 4/(-6)*1239/14. Is b/(-4) - 11/(-44) a composite number? True Let f(r) = 5*r**3 - r**2 + r - 1. Let b be f(1). Let x = b - 6. Is (-2)/x*23 + -1 prime? False Suppose 0 = 5*z - 4*v - 617, -366 = -5*z + 2*z + v. Is z a prime number? False Suppose y = 4*o, 5*o - 31 = -3*y + 20. Let k = y + -9. Is 2 - (-11*k + -2) a composite number? False Suppose 4*k - 1727 = -3*b, 629 + 1659 = 4*b - 2*k. Is b composite? True Let l = -23 - -16. Let v(q) = 3*q**2 + 5 + 5*q - q**2 - q**2. Is v(l) prime? True Let m(y) = -4*y - 11 + 12*y**2 + 2*y**3 + 10*y**2 - 3*y. Is m(-10) prime? False Let w = 16 - -94. Let i = w + -197. Is (-14)/(-3)*i/(-2) a prime number? False Is (16/(-80))/(35182/(-17590) + 2) composite? False Let j = 10 + -10. Let z = 54 - 28. Suppose -t + j*t - 38 = -m, -3*t = m - z. Is m a composite number? True Is (1 + 75/(-6))*44/(-2) prime? False Suppose 0*m = -3*m - z + 72, -5*z = -3*m + 72. Let i = m - 60. Let r = i + 67. Is r composite? False Let v(j) = 880*j**2 - 9*j - 11. Is v(-2) composite? False Suppose 8*l = 2*l + 12372. Is l a prime number? False Let v(x) = 22*x + 33. Is v(14) a composite number? True Let k =
{ "pile_set_name": "DM Mathematics" }
= 3 for t. 0 Let b = 1751 - 1731. Solve -5*r - 11 = k, -r = k + b - 17 for k. -1 Let q = 10927 + -10925. Solve 0 = q*l + 5*w - 16, 15*l - 14*l - 3*w = -3 for l. 3 Let k = -295 + 427. Let l = k - 129. Suppose 0 = 5*b - l - 22. Solve -5*d + 5*t - 21 + 1 = 0, b*d = -2*t + 15 for d. 1 Suppose 0 = -0*v + 4*v - 5*z - 5, 2*z = 4*v - 2. Let x be (-5)/10 - 178/(-4). Suppose 4*o + x = 44. Solve v = -5*j + 5*a + 34 - 4, o = -2*j - 4*a for j. 4 Let m = 2085 + -2077. Let w be (-1)/2*(-40)/4. Suppose -4*c = 2*t - 10, -t = -0*c - w*c + 9. Solve 5*s - c*v - 13 = 0, 2*v - m = -s - s for s. 3 Let d(c) = 2*c. Let s(b) = -13*b - 13. Let f(u) = -6*d(u) - s(u). Let t be f(-9). Solve -14 = -2*o - t*y, y + 1 + 6 = 3*o for o. 3 Let t(m) = -m**3 - 15*m**2 - 39*m - 6. Let w be t(-3). Solve w*l - 12 = -h, 8*h + l = 6*h + 4 for h. 0 Let c be (-6 - -7 - 6)/(-1). Solve -1 = -j + 5*z, 18 - 13 = 5*j - c*z for j. 1 Let h = -1170 - -1161. Let l(j) = -2*j**2 - 21*j - 24. Let k be l(h). Let c(d) = -d**2 + 1. Let g be c(1). Solve 4*q + 0*i = -i + 20, g = -4*q + k*i + 20 for q. 5 Suppose -8*x = -3*x - 15. Suppose -x*m + 95 = 4*u, -m = 2*m - u - 115. Let k = m + -32. Solve -b = 2*q - 7, -5 - k = -2*q for b. -3 Suppose -2*d - 4 = -12. Suppose -9 = -d*y - 1, -3*a = 2*y - 13. Let w(c) = 8*c + 56. Let i be w(-7). Solve i*u - 3*r = 2*u - 2, 3*r = -a*u + 3 for u. 1 Let n be ((-18)/21)/(((-16)/(-28))/(-2) - 0). Solve -n*c + 49*d = 47*d + 4, 0 = -c + 4*d - 18 for c. 2 Let w = -63 + 82. Let y be w/((-19)/(-6)) + (-1)/1. Solve -2 = -2*f + o, -y*o - 16 = f + 5 for f. -1 Let i(x) = 8*x**3 + 229*x**2 - 87*x + 13. Let k be i(-29). Solve k*n = 10*n - 3*r, r = 2*n for n. 0 Let l(m) = 52*m - 407. Let u be l(9). Suppose 376 = u*o - 14*o. Solve -w = 4*v - 7, 0 = -5*v - 5*w - 2 - o for v. 3 Suppose r = 2*r + 5*y + 11, 0 = -r - 2*y - 2. Let l = r + -3. Let a be -3*2 + 28 + -13 + (3 - 9). Solve -a = 5*p - 3*k, -4*k + 3 = -4*p - l for p. 0 Let t(d) be the first derivative of 2/3*d**3 + 28 + 1/2*d**2 - d. Let c be t(1). Solve -2*k + 3 = c*q - 1, -2*q + 7 = 5*k for q. 1 Let x be 14/((1 - 126/33) + 3). Let v be (-14)/x - (-101)/11. Let z be (-2 + 0 - -2) + 9. Solve -2*j - 5*h + v + z = 0, 4*h - 14 = -2*j for j. -1 Let y(r) = r**2 + 6*r + 2. Let o be y(-8). Let i be (-2)/(-6) - 24/o. Let c(v) = 19*v**2 + 3*v + 2. Let b be c(i). Solve a + j + b = -3*a, -12 = 2*a - j for a. -5 Let a(n) = -n**3 + 46*n**2 + 150*n - 142. Let o be a(49). Solve 5 = 4*y + 5*i, o*i + 18 = -i for y. 5 Let u(f) = 2256*f + 9024. Let q be u(-4). Suppose 0 = 7*o - 4*o - 15. Suppose 0*i + 2*i = 8. Solve -3*b = -5*v - i, v + q*v = o*b + 8 for b. -2 Let i(l) = l - 3. Let u be i(5). Let t(q) = 22*q**2 - 461*q - 21. Let g be t(21). Solve 0 = -5*h + u*m - g + 7, -8 = 4*h - 5*m for h. 3 Let h(o) = o**2 + 2*o - 3. Let q be h(-4). Let l be (-2*1)/(-1*(-6)/(-9)). Suppose c - 5 = -l. Solve -2*r - r = -3*u, -3*r + q*u + c = 0 for r. -1 Suppose -18*l = 5*b - 9*b + 38, 5*b - 20 = -5*l. Solve -4*t = -b*z - 7, t = -2*t + z - 3 for t. -2 Suppose n - 16*n + 150 = 0. Solve -5*i + 2*a = 6*a + 2, -a = -4*i - n for i. -2 Let f(g) = -12*g - 28. Let n be f(2). Let k be n/130 + (-154)/(-10). Solve -5*c + k = 0, 3*o - 13 - 8 = -5*c for o. 2 Let y be 22/5 + 40/(-100). Solve 4*p - 14 = -3*v, -y*v - 23 = -p - 2*p for v. -2 Suppose -2*u = -4*m + 4, -22 = -2*m - 3*u - u. Let n = 51 - 41. Suppose 11*f + n - 43 = 0. Solve t - f*y = 8, m*t + 9 = -5*y - 23 for t. -4 Let a(z) = z**2 - 24*z + 3. Let w be a(0). Solve 5*x - x - w = -i, 3*i + 5*x - 2 = 0 for i. -1 Let f(p) = -p**3 + 9*p**2 - 4*p + 6. Let b be f(8). Suppose 0 = -34*d + b*d - 20. Solve 2*c + 5 = -j, -d*j - 4*c - 2 = -1 for j. 3 Let s be -5*(70/(-150)*3 + (-2)/(-5)). Solve 0 = 5*h + 3*k + 3, -h + 3 = -s*k - 2 for h. 0 Let a = 457 + -455. Suppose 0 = a*y + 1154 - 1160. Solve -5*t - 4*c - 23 = 0, -2*t + 2*c = -y*t - 7 for t. -3 Suppose 5*v - 72 = -7. Let k(d) = -3*d**2 + 39*d + 3. Let s be k(v). Solve 3*r - 15 = s*b, -2*b = -5*r + r + 12 for b. -4 Let w = -211 + 211. Suppose 9 = 2*v - 2*m + 3, -2*m = 3*v - 24. Suppose v*r + 14*r - 40 = w. Solve 0 = -5*u + 2*p + 21, -2*u + p = r*p - 12 for u. 5 Let d = 153 + -101. Suppose 0 = 5*q + 4*s - 54, -2*s = 8*q - 3*q - d. Solve 0 = -3*r + o - q, 4*r + 3*o - 6 = -2 for r. -2 Let v(z) = -z**3 - 10*z**2 - 116. Let s be v(-11). Solve 12 = -2*b - b + s*u, 2*u = 0 for b. -4 Suppose -3*t = t - 12. Suppose 0 = 2*n - t - 43. Let f be 8/(-6)*-1*-2*6/(-4). Solve 5*l = 4*s, f*l + 5*s + 18 = -n for l. -4 Let z be 2/(-1)*(-8 + 42/7). Suppose 2*c + 2*k - 80 = -c, -k - 20 = -c. Solve -r - 11 = 3*d + r, -5*r - c = z*d for d. -1 Let w be (39 + -40)/(2/4) + -254. Let g = w - -256. Solve -5*v + g*o - 35 = 4*o, 5 = -o for v. -3 Let y(f) = 31*f + 150. Let k be y(-5). Let i(z) = -3*z**2 - 11*z + 25. Let s be i(k). Solve 0 = -s*b + 5*c, -6*c + 3*c = 6 for b. -2 Let z(n) = n. Let f be z(-9). Let c be -5*f/15 - -21. Let u be ((-126)/c - -5)*-8. Solve 4*x - 8 = -0*t + u*t, 2*x - 2*t = 8 for x. 0 Suppose -3*r + 32 = -88. Suppose 32*q - r = 28*q. Let i be (1 + -3)*q/(-4). Solve 18 = 2*l + 2*n, i*l + 4*n = 8 + 33 for l. 5 Let f be (-315)/12*24/(-18). Solve 3*s = -x + 1, -f*s + 13 = 4*x - 32*s for x. 4 Suppose 105 = -7*t + 140. Let j(a) = 3*a - 64. Let x be j(22). Solve -4*g + 2 = -t*k, 4*g = x*k - 0*k - 4 for g. -2 Suppose -26 = -b - 3*s, 4*b - 327*s = -332*s + 62. Solve 3 = -6*j + b*j - f, f - 1 = 0 for j. 2 Suppose -44*o - 22 + 110 = 0. Let l be 1 + ((-6)/9)/(o/3). Solve 0 = 4*c, -k + 0*c - c = l for k. 0 Suppose 3*q - q = 5*a + 161, 0 = -5*a + 4*q - 157. Let u = a - -56. Let f = u - 18. Solve 4*k - 20 = 0, 4*h = h + 4*k - f for h. 5 Suppose 21 = 2*a + i, -121*a - i + 51 = -116*a. Solve -x = -0*c + 3*c + a, -4*x + c = 14 for x. -4 Let w be 0 + 351/(-54)*(-3 - -1). Suppose 8*d = w*d + 2*x - 6, 4*d - 6 = -2*x. Suppose 0 = -3*k - 7 + 22. Solve 4*h = k*z + 28, d*z + h = -2*z - 6 for z. -4 Suppose 5*c + 2*s = 27, 2*c - 6*s = -2*s + 6. Suppose j + c = 2*d, -3*d - 2*j + 17 = 6. Solve 0 = d*v - 12, v + 12 = -3*p - p for p. -4 Let z = 468 + 22. Suppose -480*c - 190 = -z*c. Solve -3*g + 3*y = 2*g - c, -3*y = -g + 11 for g. 2 Suppose 5*r - 33 - 27 = 0. Let u be 18/(-72) + 3/r. Solve 4*t = q - 12, -q - q = u for t. -3 Let k(h) = -2*h + 73. Let i be k(24). Let u be i*(-24)/(-40) - (-10)/(-2). Solve 4*l - r = -8, -u = -l + 6*l - r for l. -2 Let m(c) = -4*c - 72. Let w be m(-18). Suppose 4*x - 5*x = -j + 16, w = -2*j + 3*x + 31. Solve n - j = 3*a + 5*n, -2*n + 2 = -2*a for a. -3 Let j(b) = b**2 - 68*b + 759. Let m be j(14). Solve 8*w - 7*w = 2*k + m, -4*w + 4*k + 4 = 0 for w. -1 Let k(o) = -174*o + 176. Let s be k(1). Solve 4*q - 19 = s*x + 5, x + 27 = 5*q for x. -2 Suppose -2*a + 13*p + 22 = 9*p, -4*a = -p - 16. Suppose a*r = -4*l + 29, 5*r = 3*l + 30 + 57. Solve -4*c + 4 = 4*b, 0*c + 3*c = 3*b + r for b. -2 Suppose f - 2*f = -2. Suppose o = -f*n - n + 2, 0 = -5*o + n + 10. Let v be 8/12*o/4*12. Solve -v*b - 12 = -c + 4, -4*c = 4*b - 4 for c. 4 Let b = 4621 + -4619. Solve -4*x + 12 = -2*f, -2*x + 27*f - 30*f - b = 0 for x. 2 Let f = 38 - 2. Let a = 46 - f. Solve -3*n + 2*m + 14 = 0, -4*n + 5 = m - a for n. 4 Suppose -16*y + 57 = -7. Suppose 2*w + 13*p - 11*p - 10 = 0, 5*p = -y*w + 20. Solve -2*x = 3*x, -w*x + 8 = -4*k for k. -2 Suppose -25 = -2*q + n, -3*n - 25 = 2*n. Solve 5*u + 11*i - q*i - 27 = 0, 1 = u - 2*i for u. 5 Let x(c) = 3*c**2 + 184*c + 442. Let u be x(-59). Solve -4*m + 10*n - 4 = 8*n, u = -3*m - 5*n for m. -3 Suppose 8*z - 3938 = -3898. Solve v + 10 - 24 = -z*f, 2*v = 4*f - 14 for f. 3 Let r(v) = -2*v - 74. Let s be r(-37). Let f be -8*(-1)/(4 - s). Solve k - 2*b = -8, -b = 4*k - f*b - 3 for k. 2 Suppose 4*r - 24 = 2*l - 18, 5*l - 3*r - 13 = 0. Solve -5*u = l*c - 35 - 0, 0 = 4*c + 3*u - 26 for c. 5 Let p = -1817 + 1819. Solve 3*y - 3*j + 12 = 0, p*y + 9*j + 8 = 6*j for y. -4 Suppose -3*r + 9 = -24. Suppose 18 = r*f - 5*f. Let a be -1 + f + (1 - -4). Solve 0 = 3*c - 5*v + 20, a*v - 3*v = -3*c + 16 for c. 0 Let u be 5*(-7)/7*-1. Let y(l) = 4*l**2 - 154*l + 96. Let q be y(38). Solve 2*m = 4*m + u*n - 28, -4*m - n = -q for m. 4 Suppose -5*j - 6 = -2*j, 3*i - 20 = -2*j. Let t be -1 + i/10 - (-710)/50. Let r = -12 + t. Solve 9 = -2*c - r*c - 5*q, 3*q = -4*c + 1 for c. 4 Suppose -3*j + 4 = -2*j. Let v be 6
{ "pile_set_name": "DM Mathematics" }
2, 35*s = 2*d - 165 for d. -5 Solve 5*s = 4*a + 17, a + 268*s = 264*s + 22 for a. 2 Solve 3*b - 8 = 5*g, -3*g - 1 - 7 = -5*b for b. 1 Solve 4*s - 43 = 3*g, 2*g + 3*s + 53 = 81 for g. -1 Solve 0 = -u - 4*h - 63, 3*u - 679*h = -684*h - 84 for u. -3 Solve 3*r = 3*u - 3, -3*r - 3 = 6*u - 10*u for r. -1 Solve -133*q + 2*y = -130*q + 18, -3*y = 9 for q. -8 Solve 3*t = 2*d + 3, 3*d + 44092*t = 44089*t + 3 for d. 0 Solve 169 - 176 = -p - r, p + 5*r = 23 for p. 3 Solve 0 = -125*o + 124*o - 4*r - 4, r = 4*o - 35 for o. 8 Solve -4*k = -2*b - 60, 0 = 1013*k - 1012*k + 2*b + 35 for k. 5 Solve 2*o + o = -3*k + 30, -o = -103*k + 102*k for k. 5 Solve -b + 5 = 0, 2*q + 25*b - 4 + 15 = 24*b for q. -8 Solve 4*x = -8, -4*n + 60 = -2*x + 7*x + 78 for n. -2 Solve 4*m + c + 32 = 0, -2*c - 40 = 21553*m - 21548*m for m. -8 Solve -88*z - 5*v + 18 = -114*z, -4*z + 4*v = 48 for z. 2 Solve -5*m = 88*j - 84*j - 38, -5*j = m - 37 for m. 2 Solve -138*c - 4 = 2*i - 134*c, 0 = -2*i + c - 4 for i. -2 Solve -5*j + 128 = -2*l + 152, 2*j + 4*l = 0 for j. -4 Solve -31 = -3*p - 2*t, -157*t + 59 = 2*p - 75*t - 73*t for p. 7 Solve -w - 37 = 379*n - 382*n, 5*w + 3 = 2*n for w. 5 Solve -5*d + 51*h - 27 = 53*h, 35 = 9*d - 4*h for d. -1 Solve -2*c + 39 = -4*a + 21, -2*c - 17 = 3*a for c. -1 Solve 5*g + 5*r = -5, -3*g - 4*r = -276 + 277 for g. -3 Solve 3*t - 2*g = -11, -30*t + 6 = -33*t - 3*g for t. -3 Solve 2*k + 3*s - 3449 = -3466, 2*s = -2*k - 18 for k. -10 Solve -6*h + k - 82 = 90, 0 = 2*h - k + 56 for h. -29 Solve 3*a = 106*z - 51 - 270, 0 = -6*a + 5*a + 5*z - 16 for a. -1 Solve -2*o - 5*l = -15, -4*o - 2*l - 42 + 64 = 0 for o. 5 Solve 3*o - 4*o + 2*a = 4*o + 25, 20 = -4*o - 2*a for o. -5 Solve 0 = 2*p - 4, -2 = x + 28*p - 27*p for x. -4 Solve 16 = -4*q, 0*p - 2*p = -26*q + 27*q + 8 for p. -2 Solve 3 = -d, 6336*j = 6339*j - 6*d - 96 for j. 26 Solve -9423*o = -9420*o - 3*g - 33, -2*o - 2*g - 14 = 0 for o. 2 Solve -38*z = v - 111, 0 - 6 = -2*z for v. -3 Solve 4*l + 11 = -r, 2*r = 6*l + 2 + 18 for r. 1 Solve 6 = 890*s - 885*s + 2*k, 2*s + 3*k = -2 for s. 2 Solve -3*m = 3, 17*m = 7*y + 13*m - 11 for y. 1 Solve 1781*c = 1783*c + 3*m + 4, 3*m = 2*c + 4 for c. -2 Solve 44 - 68 = 3*t, r - 5*t - 39 = 4 for r. 3 Solve 44 - 43 = -k, -4*u - 20 = 4*k for u. -4 Solve 6*h - 5*f - 17 = 0, -7*f + 9*f = 4*h - 10 for h. 2 Solve 3*b - 4 = -5*x, 0 = x + 5*b - 167 + 175 for x. 2 Solve 3 = 3*f + 3*o, -43 = 2*f - 5*o - 17 for f. -3 Solve 220*g - w - 434 = 366*g, 0 = -3*g + 5*w - 29 for g. -3 Solve 4*k = n - 21, -2041 = -4*n + k - 2032 for n. 1 Solve 5*f + 18 + 2 = -j, j + 10 = -3*f for f. -5 Solve -4 = -2*u - 4*c, -2*u + 92*c = 90*c + 2 for u. 0 Solve -9 = 3*h, 0 = -4*t + 4*h + 4*h + 24 for t. 0 Solve 4*x = 2*q, 3*x - 29 + 33 = 2*q for x. 4 Solve 3*p + 367 = 5*c + 361, -6 = -2*p for c. 3 Solve o - 17*i = -20, 58*o - 55*o + 2*i + 7 = 0 for o. -3 Solve 4*j - 5*q - 111 = 0, -36*j + 32*j + 35 = -q for j. 4 Solve 5*a - 102 = -2*p - 100, -3*a = -2*p + 2 for a. 0 Solve -5*w - 4*g = -51, 737*w = 734*w + 2*g + 13 for w. 7 Solve -26*x - 3*x - 229 = -4*j + 5*j, 5*j - 5*x = 55 for j. 3 Solve 5*q + 2*l + 4 = 7, 3*l + 6 = 3*q for q. 1 Solve 0 = 5*o - 4*l + 7, 5*o + l + 3 - 11 = 0 for o. 1 Solve 15 = 5*o, d - 14*o = -18*o + 10 for d. -2 Solve -5*l + 4*h = 11, h + 151 = 7*l + 148 for l. 1 Solve -3*s = 5*p + 28, -10 = 462*p - 461*p + 5*s for p. -5 Solve 4*v - 4*o = 16, -4*v + 107 = 5*o + 109 for v. 2 Solve 0 = -318*w + 322*w + g - 6, 5*w - g = -6 for w. 0 Solve 190*j - 189*j = n - 3, -n - j = 1 + 2 for n. 0 Solve -595*n + 590*n = 2*c - 33, -27 = -3*n - 3*c for n. 5 Solve -4*a = -h + 10, 0 = 123*h - 128*h + 5*a + 5 for h. -2 Solve 0 = 4*c - 2*r + 12, 5*c + 46*r - 92*r + 13 = -43*r for c. -5 Solve 54*n + 27 = 57*n + l, -44 = -5*n - 2*l for n. 10 Solve 0 = -2*z + 4*y + 10, 3*y + 14 = 2*z + 4 for z. 5 Solve -5*r + 25 = -5*a, 2*a + 44*r - 46 = 82 for a. -2 Solve 5*r - 22*o = -27*o - 85, 4*r = -o - 32 for r. -5 Solve -21*g + 3 = m, -3*m + 9 = 43*g - 41*g for g. 0 Solve 137*p - 3*j = 134*p - 111, -5*p + 3*j = 175 for p. -32 Solve 23*i + 5*d - 175 = 0, 4*d - 8 = 5*i + 15 for i. 5 Solve -3*y - 10281 = -c - 10289, 3*y = 3*c for c. 4 Solve 5*d + 17*h + 12*h = 25*h - 17, 226*h + 678 = 0 for d. -1 Solve 0 = 2*v - 5*x + 18, -2*x + 3 = 507*v - 512*v for v. 1 Solve 2*v = -5*r - 9 - 0, 0 = -22*v + 20*v + 4*r for v. -2 Solve -a = -5*k + 11, -3*k + 2*a = -10549 + 10541 for k. 2 Solve 2*p = 2*u + 14, -4*p + 5*u - 124 + 158 = 0 for p. 1 Solve 0 = -5*c + 20, 4*c - 46 = -a - 32 for a. -2 Solve -378*m - 6 = 2*d - 381*m, -5*d - 15 = 3*m for d. -3 Solve -3*x - 1901*p + 1906*p - 30 = 0, -51 = 4*x - 3*p for x. -15 Solve 2*b + 3 = n, -4*b + 1556 = 5*n + 1541 for b. 0 Solve 0 = 3*b - 2*d + 13, 92*d + 55 = -5*b + 87*d for b. -7 Solve 2*q = 4*f + 6, q - 20 = -5*f - 45 for f. -4 Solve -6523*f + 6518*f = -2*x - 39, -3*f = x - 30 for x. 3 Solve -o = 5*n - 19, -17 = -344*n + 340*n + o for n. 4 Solve -3*b + 6*w + 57 = 0, -351*b + 71 = -347*b - 3*w for b. 17 Solve -3*x + 2*r - 17 = 0, 5*x = -13*r + 8*r - 45 for x. -7 Solve -3*i = 97*h - 99*h - 16, -2*i = -4*h - 24 for i. 2 Solve 17 - 39 = 3*n - 2*s, -32*s = -160 for n. -4 Solve 84 = 2*t + 140*d - 116*d, 4*d = 3*t - 6 for t. 6 Solve s + 2 = 5*h, -36*s = -33*s - 5*h + 6 for s. -2 Solve r = -4*l + 8, -r - 19218 = l - 19217 for l. 3 Solve 3 = 2*c - 3*y, 2*c = 4*y + 114 - 116 for c. 9 Solve 104 = 5*z + 52*v - 49*v, 0 = -8*z - 3*v + 170 for z. 22 Solve 11*i - 8*i + 6*i - 13*i = 2*z, 0 = 3*z + 2*i for z. 0 Solve 4*g - 35 = 54*z - 57*z, -2*z = -2*g for z. 5 Solve 2*x - 31 = -5*l, 26*l - 21*l = -15 for x. 23 Solve -5*m + 407 - 400 = -d, -4*d - 12 = -4*m for m. 1 Solve 4*i + 116 = 4*x, -336 + 153 = 2*i - 7*x for i. -4 Solve -18*w - 42*q = -39*q - 144, w + 4*q - 8 = 0 for w. 8 Solve -3*t = -3*k - 2704 + 2701, 39*k + 4*t + 82 = 0 for k. -2 Solve -1848*p = -1851*p, 15 = 5*w + 3*p for w. 3 Solve -48 = 4*q + 688*n - 692*n, 0 = q + n - 4 for q. -4 Solve -223*n = -228*n - 15, -3 = 5*k - 4*n for k. -3 Solve 12 = 2*o, -11*x - 10*x = -3*x - o + 6 for x. 0 Solve -4*c = w - 1, -c + 3 = 8*w - 5*w for c. 0 Solve 2*z = -2*q + 4, -1839*q - 18 = z - 1842*q for z. -3 Solve -3*d = -5*s + 2, 13*d = 10*d - 4*s - 47 for d. -9 Solve 70*l + 4*n = 73*l + 43, 5*l + 25 = 2*n for l. -1 Solve 2*a + 654 - 647 = 3*q, q - 3 = a for q. 1 Solve 6*x + 56 = 2*u + 52, 3*x - 14 = 5*u for x. -2 Solve -5*b + 25 = -5*t, 4*t + 56 = 876*b - 881*b for t. -9 Solve 0 = -4*g - 5*z - 8, 4*z + 144 = 3*g + 119 for g. 3 Solve -2*c + 2*r - 22 = 0, -5*c - 153 = 6*r - 120 for c. -9 Solve 4*n + 4*h = -24, -5*h + 0*h - 24 = 4*n for n. -6 Solve -4*u = -5*o + 18, -u - 1658*o + 1661*o = 8 for u. -2 Solve 3*b + 5*m = -11, 1746*m + 12 = 1743*m for b. 3 Solve -3*p + 12 = -3*u, -147*u = 3*p - 152*u - 12 for p. 4 Solve -3*f = -4*s + 8, 2171 - 2144 = 3*s + 3*f for s. 5 Solve -4*c = 5*k - 4, -5*c + 3*k + 4 = -c for c. 1 Solve -494*j + 489*j - 3*x - 7 = 0, -11*j - 67 = -2*x for j. -5 Solve j = 5*l + 26, 0 = -16*l - 2*j + 17 - 95 for l. -5 Solve -3*h + 95 = -319*i + 318*i, -4*h + 115 = i for h. 30 Solve 844*z - 839*z + 31 = 3*g, 0 = 10*g + 2*z - 10 for g. 2 Solve i = -4*h + 26, -2*i = -8*h + 5*h - 8 for h. 4 Solve 9*y + 3*h - 27 = 0, 1398*y - 5*h - 15 = 1393*y for y. 3 Solve -2*z = -5*g + 20, 11*g - 8*g - 43 = -5*z for g. 6 Solve -4*g - 380*s + 379*s - 1 = 0, -4*g = -4*s + 16 for g. -1 Solve 7*c - 5 = 2*c + 5*o, 0 = 3*c + 3*o + 9 for c. -1 Solve 3*o - 40 = -p, 65*o + 2*p - 66 = 60*o for o. 14 Solve -6*j + 6 = -0*j - 3*m, 3*j - 4*m = -2 for j. 2 Solve 0 = 4*i - 5*b - 43, 3*i + 12*b = 115 - 67 for i. 12 Solve -5*k + o - 16 = -6, -5*k + 4*o = 25 for k. -1 Solve 0 = 5*b + 4*f, -6441*f + 6437*f = -5*b - 40 for b. -4 Solve -2*c + 29*t = 69, -3*c + 1318 = 2*t + 1285 for c. 9 Solve 0 = -3*n - 3*l + 39, 0 = -1921*n + 1924*n - l + 9 for n. 1 Solve -3*o + 93*c - 58*c + 100 = 0, 4*c - 12 = -2*o for o. 10 Solve 18*p - 19*p + 4 = i, -2*i + 4*p = -20 for i. 6 Solve 4*u + 13*f = 8*f, 5*u - 45 = 5*f for u. 5 Solve m = 2*j + 12, -5*m = -0*m - 1061*j + 1059*j - 28 for m. 4 Solve 23*u = 25*u - z + 15, 0 = 3*u + 5*z - 10 for u. -5 Solve 183*c = 184*c + 2, -y + 3*c + 7 = 0 for y. 1 Solve -5*m - 3*i + 16 = 11, 3*m + 3*i = 9 for m. -2 Solve -54*y + 23 = 2*a - 49*y, 4*a - 3*y = -19 for a. -1 Solve 60223*w =
{ "pile_set_name": "DM Mathematics" }
+ sqrt(1331) - sqrt(1331)))))**2. 35200*sqrt(11) + 2131200 Simplify (-6*(-2*sqrt(2448) + sqrt(17) + sqrt(17))*6)**2 + (-3*(sqrt(68)*-1 - sqrt(68)))/(sqrt(4) - sqrt(64)*-3). 6*sqrt(17)/13 + 10663488 Simplify ((1*sqrt(117) + sqrt(117))*5)/(-1*sqrt(324)) + (6*(sqrt(468)*-1*-5 + 1))**2. 6475*sqrt(13)/3 + 421236 Simplify (-1 + (5*((sqrt(320) - (4 + sqrt(320) + 3)) + -4))**2 + 0)*-5. -15120 Simplify (((-5*(sqrt(180) - 1*sqrt(180)) + sqrt(180) - sqrt(180))/(-5*sqrt(8)/sqrt(2)))/(2*sqrt(36)*-2*-1))**2. 0 Simplify (-6*((sqrt(304) - (sqrt(304) + 1))*-3 + sqrt(304))*-1 + (sqrt(304) - (sqrt(304) + 4))*-1 + sqrt(304) + 6*-5*sqrt(304))**2. -4048*sqrt(19) + 161300 Simplify ((sqrt(880)*2)/(sqrt(11) + (sqrt(66)*1)/sqrt(6) + sqrt(11)) + 2)**2 + -4*(sqrt(125)*4 - ((sqrt(640) - sqrt(40)) + sqrt(40))/sqrt(8)). -160*sqrt(5)/3 + 356/9 Simplify (4 + (sqrt(847) - (-1*sqrt(847) - sqrt(847))*-1 - (1 + sqrt(847)*-1)) + 1 + -2)**2 + 0. 4 Simplify 1*(1 + ((1 + (sqrt(700) + 1*sqrt(700) - sqrt(700))**2 + sqrt(700))*4 - ((0 + sqrt(700) + -3)**2 + -2*(1 + sqrt(700) + sqrt(700)))) + 2). 140*sqrt(7) + 2100 Simplify (sqrt(112)*1 + 4 - (-3 + -3*sqrt(112)))**2*4*-1. -7364 - 896*sqrt(7) Simplify 4 + ((sqrt(135)/sqrt(9)*5 + sqrt(15))*3)/(sqrt(3) + sqrt(18)/sqrt(24) - (sqrt(3) + sqrt(363)*1)). -12*sqrt(5)/7 + 4 Simplify (sqrt(17) - -5*-2*sqrt(17)) + sqrt(17) + (sqrt(68) - (-3 + sqrt(68)) - sqrt(17)) - 4*(-5 + sqrt(1700) + sqrt(1700)*2)**2. -61297 + 1191*sqrt(17) Simplify -5*-6*-4*(sqrt(200)/sqrt(2))/(sqrt(960)/sqrt(3)). -30*sqrt(5) Simplify (sqrt(1500)/sqrt(3))/((sqrt(4) - sqrt(576)*-1) + sqrt(4)) - (0 + (3 + (sqrt(180) - (sqrt(180) - (-1 + sqrt(180))))**2)*6). -1104 + 1013*sqrt(5)/14 Simplify (3*(1*(sqrt(320) - (0 + sqrt(320)) - sqrt(320)) + sqrt(320) + sqrt(320)*2 + 4) + -2*sqrt(500)*1 + (sqrt(2500)*-1)/sqrt(5))**2. 432*sqrt(5) + 1764 Simplify ((sqrt(1500) + sqrt(1500)*-1)/(sqrt(15)/(sqrt(12)/sqrt(4))))/(-5*2*sqrt(6) - (sqrt(6) + sqrt(6)*-3)*2) + -5. -5 Simplify ((sqrt(70) + (sqrt(70) - (sqrt(70) - (sqrt(70)*2 + sqrt(70))))*3 - -2*sqrt(70)*-1)*2)/((-1*sqrt(110)*1)/(sqrt(110)/(sqrt(30)/sqrt(3)))). -16*sqrt(7) Simplify -4*(((sqrt(396) - 2*sqrt(396))*6)/(sqrt(24)/sqrt(2)*-4 + sqrt(12)))/((-3*-2*sqrt(99) + sqrt(99) - sqrt(99)) + 2*1*sqrt(99) + sqrt(99)). -8*sqrt(3)/27 Simplify ((-3*(6*-1*sqrt(88) + 5*sqrt(88)*-2 + sqrt(88)))/((sqrt(224)/sqrt(4)*-4)/(sqrt(28)*-4))*-4)**2. 1425600 Simplify ((sqrt(6048) - (sqrt(6048) - 1*sqrt(6048)))/((sqrt(8)/sqrt(2))/sqrt(2)))/((1*sqrt(63) + (sqrt(63) - sqrt(7))*5 + sqrt(7))*5). 6*sqrt(3)/35 Simplify (-1 + 5*(sqrt(117)/(3*sqrt(9)*-2) - ((((1*sqrt(78) - sqrt(78)) + sqrt(78))*3 - sqrt(78)) + sqrt(78))/sqrt(6)) + 2)**2. -95*sqrt(13)/3 + 117361/36 Simplify ((sqrt(36)*-3*1)/sqrt(2))/(sqrt(60)/(sqrt(70)/sqrt(252)))*4. -2*sqrt(3) Simplify 1 + (1 + sqrt(972) + 0 - sqrt(972)) + sqrt(972) - -3*((-1 + sqrt(27))*-4 + (sqrt(243)*-5 - sqrt(27))). -162*sqrt(3) + 14 Simplify (3 + -1 + (2 + (sqrt(2057) - sqrt(2057)*3) + 3)*6*2 + 0)**2. -32736*sqrt(17) + 1188676 Simplify (-2*((sqrt(130)*2 - sqrt(130) - sqrt(130)) + sqrt(130) + sqrt(130)))/(sqrt(250)*-2) - (-4 + (sqrt(1300) + -1)*4). -198*sqrt(13)/5 + 8 Simplify (2*(-5 + -6*(3*sqrt(605)*2*3 + -2)*1))**2. -66528*sqrt(5) + 28227076 Simplify (-2 + (((1*sqrt(170)*1 - sqrt(170)) + sqrt(170))*-6*6)/(((sqrt(110) - sqrt(110)*-1)*5)/(sqrt(176)*3)))**2. 864*sqrt(17)/5 + 793252/25 Simplify ((sqrt(270)/(sqrt(27)/sqrt(3)))/(sqrt(726)*2) + (sqrt(35)/(sqrt(35)/sqrt(5)) - (sqrt(5) - (4 + (sqrt(35)/sqrt(7) - sqrt(5)) - sqrt(5)))))**2. -84*sqrt(5)/11 + 9949/484 Simplify (4*(-4*-2*sqrt(567) - (1 + sqrt(567) + 3))*6*2)**2 + 5. -1161216*sqrt(7) + 64048901 Simplify ((-2*sqrt(70)*6)/(sqrt(60)/sqrt(96) + sqrt(10)) - (((sqrt(252) + 1 + sqrt(252))*2)**2 - sqrt(252) - (-1 + sqrt(252)*-2))) + 2. -4035 - 558*sqrt(7)/5 Simplify ((5*(sqrt(160) + sqrt(40))/sqrt(8))**2 - (sqrt(720)/sqrt(9) - 1*sqrt(5)*1)) + (sqrt(320)*-3)/(sqrt(8)/(sqrt(4)/sqrt(2) + sqrt(2))) + -2. -27*sqrt(5) + 1123 Simplify 6*(-5 + (((sqrt(147) + 0 - sqrt(147))*6 - sqrt(147)) + 4 + sqrt(147) + 2*sqrt(147) - (0 + sqrt(147)*-2 + sqrt(147) + sqrt(147) + -4))**2). 1344*sqrt(3) + 3882 Simplify -4*((-3 + 3 + sqrt(243) + (sqrt(243) - (sqrt(243) + 1)) - ((sqrt(243)*2 + sqrt(243))*-4 + (sqrt(243) - (sqrt(243) - (0 + sqrt(243)))) + -2))**2 + 5). -139992 - 864*sqrt(3) Simplify ((1*sqrt(600)*1)/(-6*sqrt(90)))/(sqrt(1452)*-1*4*-4) + 2. -sqrt(5)/3168 + 2 Simplify sqrt(612)*3*4 + 3*(sqrt(612) + -2) + (sqrt(170) - (sqrt(170)*3 - sqrt(170))*5)/(sqrt(90)*2). -6 + 177*sqrt(17)/2 Simplify (sqrt(304) - (1*sqrt(304)*4)**2) + -3 + -1 + (1*sqrt(114)*6 - sqrt(114))/(sqrt(24)/sqrt(36)). -4868 + 19*sqrt(19) Simplify (-1*(0 + (-2*sqrt(12)*-1 - (sqrt(54)/sqrt(2) + -3)))*-2)**2. 24*sqrt(3) + 48 Simplify ((4*(-3 + sqrt(500) + 2) + -5*1*sqrt(500) + -3)*2)**2. 560*sqrt(5) + 2196 Simplify (2*4*(sqrt(104) + (sqrt(104) - -2*sqrt(104)*-6)))/(-5*2*sqrt(968)*2). 4*sqrt(13)/11 Simplify (((sqrt(125)*1 + 0)*-4 - (-1 + 3 + (1 + sqrt(125) - sqrt(125))))*-1 + 0)**2. 120*sqrt(5) + 2009 Simplify -5*(-1*1*sqrt(66) - (1*sqrt(66) + sqrt(66))*2)/((sqrt(6) - (1*sqrt(66) - sqrt(66))/sqrt(11)) + -2*sqrt(486)). -25*sqrt(11)/17 Simplify (sqrt(7) + 0)*-3 + 5 + sqrt(21)/(sqrt(12)/sqrt(64)) + -3. 2 + sqrt(7) Simplify ((sqrt(21) + sqrt(756)*2 + sqrt(21))*6*3)/((sqrt(12) - sqrt(48)*-2)/(sqrt(8)/(sqrt(2) - sqrt(8)))). -252*sqrt(7)/5 Simplify (3*sqrt(480)*-5)/((sqrt(60)*1)/sqrt(10) + (sqrt(6) - ((sqrt(24)*-1 - sqrt(24))/sqrt(4) + sqrt(6)))). -20*sqrt(5) Simplify (4 + ((sqrt(1584) + -2)**2 + sqrt(1584))*-6 - (sqrt(1584) + (-2*sqrt(1584))**2*3)*-4) + -2 + -5. 264*sqrt(11) + 66501 Simplify 3*-3*(6*(0 + sqrt(2299)) - ((0 + sqrt(2299)*-1)**2 + sqrt(2299)))*3*-1. -62073 + 1485*sqrt(19) Simplify ((-4*-1*sqrt(33))/((sqrt(3) + sqrt(6)/sqrt(2) - sqrt(3))*-3) - -1*3*sqrt(5324))**2*-5. -2069980/9 Simplify (sqrt(24) - -2*sqrt(2904) - sqrt(192)/(sqrt(16)/sqrt(2)))/(sqrt(48)/(sqrt(4)*-1) + sqrt(120)/(2*sqrt(10))). -44*sqrt(2) Simplify (5*((sqrt(119) - (sqrt(119)*3 - sqrt(119))) + sqrt(119) + sqrt(119) - sqrt(119)) + 1*sqrt(119)*-4)/(((-1*sqrt(567) - sqrt(7)) + 6*sqrt(21)/sqrt(3))*2). sqrt(17)/2 Simplify ((sqrt(112) + -3*(sqrt(112) - -2*sqrt(112)))/(sqrt(2) + (-1*sqrt(32) - sqrt(2))))/(sqrt(72)/(sqrt(45)/sqrt(5)) + (sqrt(8) - -4*-4*sqrt(8))) + 1. -sqrt(7)/7 + 1 Simplify (6*sqrt(468)*-2*1 + -4 - 6*(0 + sqrt(468)*1*3)) + -5. -180*sqrt(13) - 9 Simplify -2*(sqrt(1053) + (sqrt(1053) - 3*sqrt(1053))**2 + -5) + ((3*sqrt(143))/sqrt(11) + sqrt(13) + (sqrt(13) - sqrt(468))*3)*6. -8414 - 84*sqrt(13) Simplify ((0 + sqrt(20)/sqrt(4) + sqrt(5) + sqrt(5) + 2*sqrt(605))*-5)**2 + -6*(sqrt(1250)/sqrt(10) + -5)**2. 300*sqrt(5) + 77225 Simplify -4 + ((sqrt(120)*2 + sqrt(120))/sqrt(8))/(sqrt(45)*4) - (sqrt(243)*-6)/(sqrt(1296) - sqrt(1296)*3). -4 - sqrt(3)/2 Simplify (sqrt(1584) + 3 + (sqrt(11) - (5 + 2 + sqrt(11))) - (sqrt(891)*4*4 + sqrt(891))*2)**2*-1. -950812 - 2352*sqrt(11) Simplify (-2 + (sqrt(245) + 1 + sqrt(245)*-3 - (sqrt(245) - (sqrt(245) + (3*sqrt(245) - sqrt(245)) + -3)))*2)**2. 36 Simplify -4 + -2 + (2*(sqrt(2420)*3 - sqrt(2420)))/(-3*sqrt(1000)*-3). -6 + 22*sqrt(2)/45 Simplify (sqrt(440)/(sqrt(44)/(sqrt(4)*4)))/(sqrt(24)/(sqrt(3)*-1)*6). -2*sqrt(5)/3 Simplify ((sqrt(78) + sqrt(78) + (sqrt(78) - -2*sqrt(78)))*-6*1*5)/(((sqrt(252) + sqrt(252)*-1 + sqrt(252))/sqrt(7) + sqrt(36))/((sqrt(54)*-1)/sqrt(9))). 75*sqrt(13) Simplify 1*(6*(-3*(sqrt(2) + sqrt(162) + 1) - (-2*sqrt(8) + -5)))**2*-1. -48816 + 3744*sqrt(2) Simplify (-3*(sqrt(77) - sqrt(77)*-2))/(sqrt(11)*-1*-1) - ((sqrt(7)*1*-6 - (sqrt(70) - sqrt(70)*-1)/sqrt(10))*3)**2. -4032 - 9*sqrt(7) Simplify -5 + 1 + ((sqrt(91) - ((sqrt(91) - 4*2*sqrt(91)) + sqrt(91)))*4)/(sqrt(49)/(sqrt(35)/sqrt(5)) + sqrt(28)*-4). -4*sqrt(13) - 4 Simplify (((sqrt(342) - -1*sqrt(342))*1)/(sqrt(9)*2*-3 + sqrt(9)))/(-6*sqrt(8)*-5*4). -sqrt(19)/600 Simplify 4*-1*(-2 + (3*-5*((sqrt(99) + -2 + sqrt(99) - sqrt(99)) + -5))**2 + -2). -133184 + 37800*sqrt(11) Simplify (-1*(sqrt(2057) - (-3 + sqrt(2057)))*-5 - (-3 + -6*(-5 + sqrt(2057))))**2. -1584*sqrt(17) + 74196 Simplify -2*((3*2*sqrt(125) + 4)**2 + (3*sqrt(45) + sqrt(45))*1*-3). -9032 - 408*sqrt(5) Simplify (5*(3 + sqrt(832) + 4)*-2)**2 - (3 + (sqrt(832)*-1*-4 + sqrt(832))**2 + -2). 11200*sqrt(13)
{ "pile_set_name": "DM Mathematics" }
+ 6*z**5 wrt z? 60*z**3 Let r(l) be the first derivative of -31*l**3/3 + 14*l**2 + 39. What is the second derivative of r(k) wrt k? -62 Let x(h) = -4*h - 1. Let j be x(-1). What is the third derivative of j*g**4 + 2*g**2 - g**2 - 2*g**2 wrt g? 72*g Let a(z) be the first derivative of 0*z**2 - 3*z + 5 + 0*z**3 + 5/4*z**4. Differentiate a(w) wrt w. 15*w**2 Let u(k) = -4*k**5 + 4*k**4 + 6*k**3 + 39*k**2 + 6*k. Let n(l) = -l**5 + l**3 + l**2 + l. Let p(o) = -6*n(o) + u(o). What is the third derivative of p(t) wrt t? 120*t**2 + 96*t Let q = 3 - -1. Find the third derivative of -2*b**2 + q*b**4 + 0*b**2 - b**2 + 5*b**2 wrt b. 96*b Suppose 2 + 2 = 2*x. What is the third derivative of -3*c**2 - c + x*c**5 - 3*c**5 + c wrt c? -60*c**2 Suppose n + 3*n - 20 = 0, -4*k - 3*n = -23. Let q be (-2)/(-2 - 4/(-3)). Find the third derivative of 2*f**2 - q*f**k - 2*f**6 + 2*f**2 wrt f. -240*f**3 Let c(d) = 7*d**3 - 3*d**2 + 5. Let n(y) = 3*y**3 - 2*y**2 + 3. Let w(i) = 3*c(i) - 5*n(i). Find the third derivative of w(a) wrt a. 36 Find the first derivative of 74 - 163 - 19*f**2 + 78 wrt f. -38*f Find the second derivative of 14*c**4 - 33*c + 6*c**4 + 2*c wrt c. 240*c**2 Let o(f) be the third derivative of -61*f**9/504 + 4*f**5/5 - 44*f**2. Find the third derivative of o(a) wrt a. -7320*a**3 Let u be 16/6 - 1/(-3). Suppose 18 = u*r - 0*r. Find the third derivative of i**2 + 0*i**2 - 3*i**6 + i**r wrt i. -240*i**3 Let l(w) = 1 + 0*w + 13*w**3 - 1 - 3*w. Let j(u) = -38*u**3 + 10*u. Let b(k) = 4*j(k) + 11*l(k). What is the second derivative of b(c) wrt c? -54*c Find the second derivative of 6*o - 13*o + 16*o + 7*o - 26*o**4 wrt o. -312*o**2 Let s(y) = y. Let g(a) = -2*a - 2. Let j = -2 + -3. Suppose -2 = -4*l - 6. Let o(d) = j*s(d) + l*g(d). Differentiate o(q) with respect to q. -3 Let a(d) = d**2 - d + 1. Let y(c) = 5 - c - 3 - 2*c**2 - 5. Let g(z) = 6*a(z) + 2*y(z). What is the second derivative of g(q) wrt q? 4 Let z(n) be the third derivative of n**6/24 + n**4/6 + 12*n**2. What is the second derivative of z(q) wrt q? 30*q Let j(p) be the third derivative of -p**6/120 + 9*p**3/2 + 28*p**2. Find the first derivative of j(v) wrt v. -3*v**2 Suppose 4*x = 8*x + 24. Let i be 3/(-1*3/x). Find the third derivative of -2*w**i - 2*w**2 - w**4 + w**4 wrt w. -240*w**3 Let h(x) be the second derivative of -1/56*x**8 - 1/4*x**4 + 0*x**6 + 0*x**3 + 3*x + 0*x**2 + 0 + 0*x**7 + 0*x**5. What is the third derivative of h(b) wrt b? -120*b**3 Let d(z) be the first derivative of 0*z**2 + 0*z**3 + 10*z + 9/5*z**5 + 3 + 0*z**4. Differentiate d(b) with respect to b. 36*b**3 What is the second derivative of 2*x**2 + 4*x - x**2 - 5*x wrt x? 2 Let f(r) = -r**2 + 11*r - 6. Let g be f(10). What is the derivative of 6*v - 4 + 5*v + 7*v**g - 11*v wrt v? 28*v**3 Suppose 2*d + 5 = 13. Let b(q) be the second derivative of 0 - 3/2*q**2 - 1/4*q**d + 2*q + 0*q**3. Find the first derivative of b(c) wrt c. -6*c Suppose 2*z + 3*z = -15. Let a(i) = -i**2 - 7*i - 4. Let x be a(z). Find the second derivative of 4*r**3 + 11*r**4 + 3*r - 4*r**3 - x*r**4 wrt r. 36*r**2 Suppose -16 = 2*h - 4*h + 4*q, -3*h + 3*q = -30. Suppose h - 4 = 2*l. What is the third derivative of 5*m**6 + l*m**6 - 2*m**2 - 3*m**6 - 4*m**6 wrt m? 240*m**3 Suppose -4*t + 0*t = 0. Suppose t = 4*k, -3*k - 10 = -5*j + k. What is the derivative of -l**2 + 2*l**j + 1 - 2 wrt l? 2*l Let b = 3 - 0. Suppose 0 = -2*x - 2*u + 14, -2*x + b*x - u = -3. What is the third derivative of -4*g + 4*g - g**3 - g**x wrt g? -6 Let o be 4/10 - 12/30. Let q = 5 + o. Find the third derivative of -f**2 - 2*f**3 + 6*f**3 - q*f**2 + 3*f**2 wrt f. 24 What is the third derivative of -14*r**2 + 784 - 784 + 14*r**4 wrt r? 336*r Let b(l) = -l. Let h be b(-2). What is the third derivative of -3*m**5 + 2*m**5 - 3 + 3 - m**h wrt m? -60*m**2 Find the third derivative of -2*s**3 + 17*s**2 + 2*s**3 - 23*s**2 - 6*s**6 wrt s. -720*s**3 What is the first derivative of 23*s**3 + 0 - 38*s**3 - 4 + 3 wrt s? -45*s**2 Let i(g) be the second derivative of -5*g**8/56 + 3*g**4/4 + 2*g. Find the third derivative of i(y) wrt y. -600*y**3 Let o(u) be the second derivative of 3*u**5/5 - 11*u**2/2 - 10*u. What is the first derivative of o(k) wrt k? 36*k**2 Suppose 2*l = -c - 0*c - 11, 4*l + 4*c = -28. Let u = 6 + l. What is the third derivative of 3*f**2 - f**2 - 3*f**5 + u*f**5 wrt f? -60*f**2 Let w(u) = 10*u**2 - 2*u - 15. Let a(f) = -20*f**2 + 5*f + 31. Let g(x) = 2*a(x) + 5*w(x). Differentiate g(z) with respect to z. 20*z Find the third derivative of -4*n**3 + n**2 + 19*n**3 - 2*n**3 - 7*n**3 wrt n. 36 What is the first derivative of -29 - 32*c**3 + c**2 + 6 - c**2 wrt c? -96*c**2 What is the second derivative of 17*y - 18*y + 9*y**5 + 12*y + 13*y**5 wrt y? 440*y**3 Let s(n) be the second derivative of 11*n**4/12 - 19*n**2/2 - 14*n. What is the first derivative of s(o) wrt o? 22*o Let l = 8 - 6. Find the second derivative of 4*n**3 - n**3 - 3*n**3 - n + l*n**3 wrt n. 12*n Let w = 4 - -1. What is the third derivative of -5*i**2 + 2*i**5 - w*i + 0*i + 5*i wrt i? 120*i**2 Suppose 3*o = -5 + 11. What is the third derivative of z**5 + 3*z**o - 3*z**3 + 2*z**5 + 3*z**3 wrt z? 180*z**2 Let w(k) be the first derivative of 0*k**2 + 2/3*k**3 - 1 + 3*k. What is the derivative of w(o) wrt o? 4*o Let w(s) = 4*s**3 - 5*s**2. Let k(j) = -8*j**3 + 10*j**2. Let v(q) = 4*k(q) + 9*w(q). Find the third derivative of v(g) wrt g. 24 What is the second derivative of -209*w**3 + 418*w**3 - 215*w**3 + 3*w wrt w? -36*w Let o(k) be the second derivative of -k**7/21 + k**3/6 + 4*k**2 - 8*k. Let r(v) be the first derivative of o(v). What is the derivative of r(f) wrt f? -40*f**3 Let s(d) = 2*d**4 + 2*d**3 + 2*d**2 + 7*d. Let x(c) = c**4 - c**3 - c**2 - c. Let q(v) = -s(v) - 2*x(v). What is the second derivative of q(h) wrt h? -48*h**2 Let g(c) = 42*c**4 + 3*c**3 + 3*c**2 - 3*c + 22. Let d(s) = 84*s**4 + 5*s**3 + 5*s**2 - 5*s + 45. Let h(i) = -3*d(i) + 5*g(i). Differentiate h(b) wrt b. -168*b**3 Let c be 5/2 - 2/4. What is the third derivative of -2*w**3 + 0*w**c + 5*w**2 - w**2 - 2*w**2 wrt w? -12 Let j(i) be the second derivative of -i**9/1008 + i**5/30 - i**3/3 + 3*i. Let h(k) be the second derivative of j(k). Find the second derivative of h(w) wrt w. -60*w**3 Find the second derivative of 310*s**4 - 324*s**4 - 7*s - 12*s - 3*s wrt s. -168*s**2 Let z(q) be the first derivative of 2*q**7/105 + q**5/20 + q**2 - 5. Let d(o) be the second derivative of z(o). What is the third derivative of d(p) wrt p? 96*p Let z(o) be the first derivative of o**6/10 - o**3/2 + 3*o + 3. Let i(g) be the first derivative of z(g). What is the second derivative of i(w) wrt w? 36*w**2 Suppose -4*w + 10 = -2*w. Differentiate -2 - 2 + 3 - w*q with respect to q. -5 Suppose d = -2*d. Suppose 4*g + d*g = 4. What is the derivative of -3 + 2*y + g + 0*y wrt y? 2 Suppose 0 = 4*c - 5*c + 2*r, 4*c - 6 = 5*r. Suppose -c*x + 0*x + 20 = 0. Differentiate -x*h + 3*h + 5*h + 0 - 2 with respect to h. 3 Find the second derivative of -13*t**2 + 4*t + 13*t**2 - 10*t - 3*t**5 wrt t. -60*t**3 Let v(q) be the third derivative of -5*q**8/168 + q**5/10 + 3*q**2. What is the third derivative of v(w) wrt w? -600*w**2 Let t(j) = -j**2 + j + 1. Let a(v) = -3*v**2 + v + 1. Let q(i) = -a(i) + 2*t(i). Let n be q(-3). What is the first derivative of -l**4 - 2 + 5 - n wrt l? -4*l**3 What is the derivative of -2*y**4 + 6 - 3*y**4 + 2 - 3*y**4 wrt y? -32*y**3 Find the third derivative of -8*a**2 + a**3 - a**3 - 9*a**5 + 11*a**2 wrt a. -540*a**2 Let j(s) be the second derivative of 0*s**4 + 0 + s + 0*s**3 - 3/2*s**2 + 1/20*s**5. Differentiate j(r) wrt r. 3*r**2 Let c(u) = u**3 - 7*u**2 - 9*u + 10. Let s be c(8). What is the derivative of -f**2 + 3*f**s - 7*f**2 + 2 wrt f? -10*f Let g(s) be the first derivative of 4*s**6 - 16*s**3/3 - 1. Find the third derivative of g(a) wrt a. 1440*a**2 Let m be 0 + 0 - (-2 + 0). Let a be (-2)/4*-4*1. What is the third derivative of 0*c**2 - m*c**2 - 2*c**a + 2*c**5 wrt c? 120*c**2 Let f(t) = 2*t + 0*t + 4 - 11. Let w be f(5). What is the second derivative of w*a**3 - 5*a + 4*a + 3*a wrt a? 18*a Let u(g) be the second derivative of -2*g**4/3 - 15*g**2/2 + 10*g. Differentiate u(f) wrt f. -16*f Let m(h) = -h**3 + 6*h**2 + 7*h + 3. Let l be m(
{ "pile_set_name": "DM Mathematics" }
) = -10*x - 2. Give g*d(j) - 4*m(j). 10*j + 2 Let p(n) = -15*n**2 - 3*n + 1. Let i(a) = -16*a**2 - 3*a + 1. What is 4*i(r) - 5*p(r)? 11*r**2 + 3*r - 1 Let n(k) = -15*k - 372. Let p(j) = 8*j + 186. Give -6*n(d) - 11*p(d). 2*d + 186 Let m(i) = -24*i**3 + 6*i**2 - 6*i - 6. Let k(a) = 26*a**3 - 7*a**2 + 7*a + 7. What is -6*k(g) - 7*m(g)? 12*g**3 Let s(t) = -17*t**2 + 2*t - 4. Let k(d) = 36*d**2 - 4*d + 8. Give -3*k(w) - 5*s(w). -23*w**2 + 2*w - 4 Let r(p) = -p**2 - 3*p + 209. Let l be r(-16). Let y(x) = x**2 + 2*x - 4. Let s(t) = t - 1. Give l*y(i) - 4*s(i). i**2 - 2*i Let v(b) = -3*b. Let x(q) = -7. Let a(j) = 65*j + 455. Let r(z) = a(z) + 65*x(z). What is 2*r(i) + 45*v(i)? -5*i Let c(z) = -6*z**2 + z + 4. Let q(d) = 9*d**2 - 2*d - 7. Calculate 5*c(b) + 3*q(b). -3*b**2 - b - 1 Let h(u) = -116*u**3 - 23*u**2 + 22. Let j(v) = 59*v**3 + 11*v**2 - 12. Let n(w) = -6*h(w) - 11*j(w). Let f(l) = -16*l**3 - 6*l**2. Give -17*f(k) - 6*n(k). -10*k**3 Let i be -4 + 5 + -1 + -2 + -2. Let m(v) = -5*v + 5. Let c(k) = -6*k + 6. Calculate i*c(l) + 5*m(l). -l + 1 Let z(d) = 7*d**3 - 6*d**2 - 6*d + 7. Let f(s) be the first derivative of -5*s**4 + 17*s**3/3 + 17*s**2/2 - 20*s - 222. Give -6*f(o) - 17*z(o). o**3 + 1 Let a(t) = 854*t**2 - 10*t + 15. Let o(m) = -83265*m**2 + 976*m - 1464. Give 488*a(y) + 5*o(y). 427*y**2 Let s(p) = -p**2 - 6*p + 8. Let o be 44/(-55) + (-120)/(-25). Let b(t) = t**2 + 5*t - 7. What is o*s(i) + 5*b(i)? i**2 + i - 3 Let q(v) = -2*v - 15. Let f(j) = j + 7. Let i = 11 + -2. Suppose -48*b + 49*b = -i. What is b*f(c) - 4*q(c)? -c - 3 Let d(j) = 1255*j**3 - 11. Let b(c) = 418*c**3 - 4. Calculate 11*b(m) - 4*d(m). -422*m**3 Let p(u) = -u**3 + u**2 + u - 1. Suppose 0 = 6*i + 12. Let k(g) = -5*g**3 + 33*g**2 + 3*g**3 - 35*g**2 - 2*g. Give i*p(y) - k(y). 4*y**3 + 2 Let b be (-182)/14*(0 - -1). Let l(a) = -15*a - 9. Let d be (27/15 - 3)*5. Let t(r) = 7*r + 4. Give b*t(u) + d*l(u). -u + 2 Let v(d) = 5*d + 2. Let t(y) = -4*y - 1. Suppose 3*g = -f + 12, g + 5*f = -g + 21. Suppose 4*k + 4*p = -12, k + 3*p = -3*k - 7. Calculate g*t(q) + k*v(q). -2*q + 1 Let n(l) = -l - 1. Let d be (6 + (-64)/8)*1. Let z(c) = 4*c - 13. Give d*n(r) - z(r). -2*r + 15 Let f(r) = 13*r**3 - 9*r**2 - 4. Let q(y) = 6*y**3 - 4*y**2 - 2. Let l(g) = -31*g - 376. Let s be l(-12). Determine s*f(k) + 9*q(k). 2*k**3 - 2 Let u(n) = -31*n**3 - 16*n**2 - 11*n - 8. Let r(m) = -21*m**3 - 10*m**2 - 7*m - 5. Determine 8*r(i) - 5*u(i). -13*i**3 - i Let o(g) = 7*g - 3. Let n(q) = 9*q - 4. Let j(l) = -6*n(l) + 7*o(l). Let h(k) = -16*k + 10. What is 2*h(a) - 7*j(a)? 3*a - 1 Let o(y) = 11*y**2 + 14*y + 8. Let k(s) be the third derivative of -s**5/15 - 5*s**4/24 - s**3/2 - 137*s**2. What is -8*k(w) - 3*o(w)? -w**2 - 2*w Let o(c) = 325*c**2 - 12*c - 2. Let n(v) = -325*v**2 + 15*v + 2. Determine -4*n(b) - 5*o(b). -325*b**2 + 2 Let h(v) = -9*v**2 + 23. Let i be 6 + -8*35/(-100)*-5. Let t(q) = -3*q**2 + 8. Calculate i*t(g) + 3*h(g). -3*g**2 + 5 Let b(l) = 309*l + 42. Let v(z) = 88*z + 12. Calculate 5*b(t) - 18*v(t). -39*t - 6 Let s(x) = 24*x**3 - 74*x**3 - 1 + 2*x + 28*x**3 + 27*x**3. Let h(g) = -g**3 - g + 1. Calculate -4*h(d) - s(d). -d**3 + 2*d - 3 Let v(u) = -770*u - 3. Let m(z) = 256*z + 1. Determine 8*m(y) + 3*v(y). -262*y - 1 Let m be 5*((-104)/20 - 0 - -6). Let k(c) = -7*c + 3. Let d(n) = -6*n + 3. What is m*d(g) - 3*k(g)? -3*g + 3 Let i(y) = -359*y + 4. Let o(q) = -64619*q + 722. Give 361*i(n) - 2*o(n). -361*n Let a = -133 - -134. Let q(y) = y**2 - y - 1. Let n(u) = -2*u**2 - 6*u - 6. What is a*n(j) - 6*q(j)? -8*j**2 Let c = 277 - 276. Let m(k) = k. Let j(f) = 5*f. What is c*j(i) + 6*m(i)? 11*i Let s(h) be the second derivative of h**4/12 - h**3/6 - h**2/2 - 5*h - 17. Let o(n) = 6*n - 1. Determine -o(b) + s(b). b**2 - 7*b Let x(w) = 241*w - 4. Let g(k) = 125*k - 2. What is 7*g(a) - 4*x(a)? -89*a + 2 Let t be -4*(-1 - (45/(-10))/(-9)). Let c(m) = m + 6. Let w(n) = -n + 1. Give t*w(p) - c(p). -7*p Let v(a) = a**2 + a. Let l(y) = -4*y**2 - 8*y - 24. Give -l(b) - 6*v(b). -2*b**2 + 2*b + 24 Let b(v) = 48*v + 6. Let g(c) = 2. Calculate -b(x) + 4*g(x). -48*x + 2 Let z(f) be the second derivative of -f**5/10 + f**3/6 - 595*f. Let s be (-2)/(-5) + 192/20. Let k(j) = 3*j**3 - 2*j. Determine s*z(v) + 6*k(v). -2*v**3 - 2*v Let c(m) = m. Let o be (6/(-4) - -2) + 18/36. Let f(a) = -12*a. Determine o*f(j) + 8*c(j). -4*j Let v(u) = -u**2 - u - 1. Suppose 13 = -4*n - 5*k - 11, -5*n - 2*k - 13 = 0. Let q(r) = -2*r**2 - 4*r - 4. Give n*q(y) + 3*v(y). -y**2 + y + 1 Let k(h) = -45*h**3 + 45*h**2 + 45*h - 45. Let y(z) = z**2 + z - 1. Determine k(i) - 45*y(i). -45*i**3 Let x(f) = -7*f. Let j(d) = 20*d. Let g(m) = -2*j(m) - 7*x(m). Let c(s) = -4*s. Determine -12*c(b) - 4*g(b). 12*b Let c be (-55)/100*-5 - 2/(-8). Let j(w) = 0*w**2 - w**2 - w**2 - 4*w. Let n(p) be the third derivative of p**5/15 + 3*p**4/8 - p**2. Give c*n(r) + 7*j(r). -2*r**2 - r Let s(i) = -28*i - 16. Let z(v) = 5*v + 3. Let j(a) = -2*s(a) - 11*z(a). Let n(b) = 2*b + 3. What is -3*j(p) - n(p)? -5*p Let h(k) = k**2 - 6*k - 6. Let m(f) = 16*f + 18*f - 35*f - 1 + f**2. Give -h(x) + 6*m(x). 5*x**2 Let k(d) = 19*d**2 - 2. Let q(y) = 76*y**2 - 9. Calculate -9*k(s) + 2*q(s). -19*s**2 Let t(c) = c. Let d(p) = 5. Let s(f) = -d(f) - 2*t(f). Let i(w) = -2*w - 6. Let x(k) = -k**3 + 9*k**2 - 38*k + 246. Let h be x(8). Give h*s(z) - 5*i(z). -2*z Let q(o) = -10*o**2 + 2*o. Let h = -1500 + 1497. Let p(f) = 11*f**2 - 3*f. Calculate h*q(t) - 2*p(t). 8*t**2 Let k(n) = 4. Let g(y) = 10*y + 35. Calculate g(p) - 4*k(p). 10*p + 19 Let f(r) = 7*r**2 + 5*r + 3. Let b(q) = -19*q**2 - 2 - 3*q - 16*q**2 + 31*q**2. Let g = -27 - -24. Calculate g*f(y) - 5*b(y). -y**2 + 1 Let o(a) = -32*a**3 + a**2 + 32*a - 1. Let v(w) = 10*w**3 - 11*w. Give -2*o(l) - 7*v(l). -6*l**3 - 2*l**2 + 13*l + 2 Let a = 2832 + -2837. Let x(s) = -6*s**2 + 6*s - 5. Let p(v) = -7*v**2 + 7*v - 6. Determine a*p(k) + 6*x(k). -k**2 + k Let n(i) = 11*i - 15. Let t(h) = -6*h + 8. Let y(c) = 3*n(c) + 5*t(c). Let b = 2 + -8. Let s(r) = -3*r + 6. Determine b*y(x) - 5*s(x). -3*x Let k(j) = -17*j - 22. Let d(x) = -3*x - 16. Let o(u) = -u + 1. Let n(b) = -d(b) - 5*o(b). Determine 6*k(c) + 13*n(c). 2*c + 11 Let i(w) = 133*w**2 + w + 14. Let f(j) = 66*j**2 + j + 8. Calculate 5*f(o) - 3*i(o). -69*o**2 + 2*o - 2 Let v(x) = 4*x**2 + 2*x - 4. Let t be -16 + 2 - (-2)/(-2). Let w be (20/t)/(4/(-6)). Let p(o) = -7 - 3 + 5 + 3*o**2 + w + 2*o. Calculate 6*p(k) - 5*v(k). -2*k**2 + 2*k + 2 Let t(i) = i - 3. Let b = 4 - 0. Let x be 14/(2 + 0/b). Let g(v) = 2*v - 4*v + 0*v + x. Give -3*g(y) - 7*t(y). -y Let p(f) = f - 4. Let j(v) = -v**2 + 4*v + 48. Let t be j(-5). Let m(d) = -2*d + 8. Determine t*m(h) + 5*p(h). -h + 4 Let z(w) = 451*w**3 - 2*w**2 - 8. Let h(c) = 900*c**3 - 4*c**2 - 18. Give 4*h(b) - 9*z(b). -459*b**3 + 2*b**2 Let h(z) = -3*z**3 - 4*z**2 - 4*z - 2. Let m(p) = -4*p**3 - 5*p**2 - 5*p - 2. Let o = -147 + 132. Let f = -19 - o. Calculate f*m(g) + 5*h(g). g**3 - 2 Let d be (48/(-80))/(1/5). Let s(g) = g**3 - g + 1. Let m be (-2)/(-1) + (-1 - 2). Let j(z) = -5*z**3 + 3*z - 3. What is d*s(o) + m*j(o)? 2*o**3 Let d(f) = -f**2 - 1. Let l(g) = -3*g**2 + 2*g - 3. Suppose 3*s = 5*u + 3 + 1, 5*u - 5*s + 10 = 0. Calculate u*l(w) - 4*d(w). w**2 + 2*w + 1 Let l(v) = -24*v + 65. Let o(r) = -8. What is -3*l(q) - 24*o(q)? 72*q - 3 Let g(x) = -33*x - 369. Let z be g(-11). Let m(w) = -11*w**3 - 15*w**2 - 13*w + 9. Let u(a) = -5*a**3 - 7*a**2 - 6*a + 4. Determine z*m(j) + 13*u(j). j**3 - j**2 - 2 Let y(a) = a + 2. Let c(w) = 5*w**2 + 16*w + 5. Let f(m) = c(m) - 6*y(m). Let o(u) = -4*u**2 - 9*u + 6. Calculate -5*f(n) - 6*o(n). -n**2 + 4*n - 1 Let w(r) = -10*r**2 - 3*r + 4. Let s(t) = 29*t**2 + 10*t - 11. Give 3*s(i) + 8*w(i). 7*i**2 + 6*i - 1 Let m(x) = -2*x - 1. Let u(p) = -103 + 206 - 104 - p. Give 2*m(t) - 5*u(t). t + 3 Let n(r) = -26 - 3 - 2*r + 33 + 3*r**2. Let t(d) = 4*d**2 - d + 3. Determine -2*n(j) + 3*t(j). 6*j**2 + j + 1 Let t = -4 - -7. Let a(o) = 5*o**2 + 4*o + 3. Let j(q) = -5*q**2 - 4*q - 4. Let c(k) = 4*a(k) + 3*j(k). Let s(w) = -14*w**2 - 12*w. Give t*s(r) + 8*c(r). -2*r**2 - 4*r Let y(k) = -4616*k - 1 + 4598*k - 3 + 4. Let b(p) = -37*p. What is -3*b(t) + 7*y(t)? -15*t Let o(h) be the third derivative of -h**4/24 - h**3 -
{ "pile_set_name": "DM Mathematics" }
What is the value of -85 + 1 + 919 + -860? -25 Evaluate 2 + (-5 - (11 - 19) - -33) + 1. 39 Evaluate (-3 - 28) + (-13 - -13 - -10) - 17. -38 Evaluate -2 - (-5 + 2 + (-9 - -1) - -8) - 28. -27 (15 - (116 + (19 - 4 - 23))) + (0 - 15) -108 Calculate 5 + -27 + 143 + -32 - ((4 - 4) + -1). 90 What is the value of (22 - -10 - 39) + 38? 31 What is the value of 577 - 645 - (-4 - 31)? -33 What is the value of -14 + (32 + -101 - -134)? 51 Calculate 26 + (-16 - 40) - -38. 8 Calculate (7 + 4 + -24 - (-4 - 2)) + 1. -6 What is the value of 4 + 30 + -25 + (0 - 3) + (-8 - 39)? -41 Calculate -2 + (3 - -3) - (-105 - -108). 1 Evaluate 1 - (-30 + (35 - 20) - -4). 12 (14 - 9 - -7) + 27 + -40 -1 Evaluate 87 + (11 - 37) + (6 - 4 - -5) + -10. 58 Evaluate 32 + -13 + -9 - (26 + (4 - 6)). -14 What is (22 + -31 + 24 - 12) + 14? 17 Evaluate -11 + -98 + 138 + -167. -138 What is 6 + 1 + 1 - (1147 + -1110 - (-2 + 35))? 4 Evaluate -2 - (-1 - 12 - ((-2 - -2) + (161 - 185))). -13 What is the value of 2 + 36 + -3 - 68? -33 Evaluate -12 - (31 - (22 + (2 - 11))). -30 Evaluate 26 - 6 - (27 - (-57 + 67)). 3 Evaluate 57 - (-25 + 133) - -109. 58 32 + 44 + -18 - 28 - 123 -93 What is the value of -30 - (105 + -21 - 49 - -1)? -66 What is the value of -61 + (-20 - (-7 + -38 + 27))? -63 What is the value of 1 + (-11 + 22 - 4) + 2 + 8? 18 What is the value of 1 - (5 + -17 - -11 - -8 - 6 - 6)? 6 What is 117 + (-9 - 128) + 23? 3 -83 + 0 + (-54 - -43) - (-21 - -4) -77 Calculate (-7430 - -7630) + (-2 - 103). 95 What is (-69 - -55) + 59 - -24? 69 What is -8 + (9 - (6 + 1)) + 10 + 10? 14 What is (21 - 22) + 29 + -13 - -4? 19 What is -22 + 106 + (9 - 42)? 51 Evaluate (-52 - -170) + -90 + 2. 30 50 - (-8 + 33 + 12 + -16) 29 What is -125 + 119 - -92 - (-2 + -15)? 103 What is -1 + -1 + 116 - (4 + 18 - (129 + -120))? 101 What is 62 + (36 - 50) - -20? 68 What is (2 - 11) + (-3 - (-3 + -32) - (41 - 43))? 25 (-139 + 275 - 136) + (2 - 4 - -32) 30 Calculate 33 + -38 + 8 + -18 - (1 + -17). 1 (1 - (0 - -52) - 1) + (81 - 69) - 9 -49 (2 - (-52 + -96 + 204)) + (-7 + -1 - 0) -62 What is 85 + (10 - 218) - -36? -87 What is the value of -21 + 15 - (-86 + 48)? 32 Evaluate (7 + 0 - (109 - 96)) + (-2 - -9). 1 Calculate (-76 - -89) + 2 + 22 - (-2 - -4). 35 What is the value of -5 - -4 - 0 - -45 - (91 - 94)? 47 Calculate -17 - (63 + -12) - (-23 + 22). -67 Calculate 65 - (-8 + 48 + -1). 26 What is -1 + (-3 + -19 + -51 + 70 - (0 - 55))? 51 What is the value of 43 + 51 + -60 + -27? 7 What is 921 - 800 - (123 + -3)? 1 What is 42 + (9 - (55 + -15))? 11 What is the value of (-1 - -55) + (1 - 4) - (63 + -65)? 53 Evaluate -23 + -22 - 16 - (-7 + -15). -39 What is the value of -58 + 34 - (-6 + -10 + -41)? 33 What is (-15 - (-28 - (21 - 34))) + -19? -19 Calculate -62 + 20 + 37 + (-3 + 8 - (0 + -1)). 1 What is the value of 27 + -10 - (129 - 44)? -68 (61 - 2) + 16 + 2 + 1 + -8 + -9 61 Calculate 122 + -114 + 112 - 36. 84 What is the value of 11 + -4 + 3 - (-1 + -19)? 30 Evaluate -1 - (7 - -6) - (4 - (14 + -7)). -11 What is -2 + -16 + 26 + -18 + 70? 60 What is the value of (12 - 54 - -30) + 9 - 65? -68 What is (132 + -91 - 124) + 164? 81 Calculate 1 - 109 - (83 - -170 - 274). -87 What is (0 - 0 - -1 - (-26 - (-11 - 42))) + 10? -16 Evaluate (-10 - (-63 + 42)) + 115. 126 What is the value of (44 + 31 - 25) + -7? 43 Calculate (-57 - 4 - (-82 - -56)) + 35. 0 32 + (-57 - -118) + -47 46 0 - 59 - (-98 + 37 + 68) -66 What is the value of -66 + (33 - (-26 + -12) - 35)? -30 Calculate -17 + 11 + (68 - 0) + (24 - 9 - 20). 57 What is -11 - (-59 + -2 + 0 + -10 + -1)? 61 Calculate 108 + -1 - (6 + -37 - -24 - -9). 105 42 + -76 + (10 - -64) 40 Evaluate 0 + (16 - (1 + 0)) + (378 - 365). 28 4 - (-43 - (-219 - -81)) -91 Calculate 1671 + -1587 - (43 - -6). 35 Evaluate 44 - (-5 - 3 - (9 - (1 - 5))). 65 What is the value of -9 + 7 + (4 - -8 - -11)? 21 Evaluate (-31 - (43 + -45)) + (-24 - 1). -54 What is (3336 - 3325) + (-2 + (1 - -3) - -3)? 16 Calculate -6 - (-2 - -6 - -5). -15 What is (3 + 12 - (53 - 41) - 43) + 8? -32 What is -19 + 92 + (-99 - -64)? 38 Calculate 47 + 32 + -32 + (0 - 22) + 10. 35 Calculate -41 - (-12 - (-3 - (11 + 3) - -12)). -34 (20 - 4) + -2 + 1 + (45 - 13) 47 What is (-8 - 1) + 65 + -2 - (3 - 6)? 57 -51 + (-1 + (10 - 24) - -1) + 24 -41 21 - ((-7 - -11 - 5) + (-5 - (-6 - -1))) 22 38 - (-22 - 18) - 32 46 What is the value of (35 - (21 - (2 + -5))) + 16? 27 Calculate (18 - 24) + -8 - (-21 + 14 + 1). -8 Evaluate 1 + 8 + -64 + 41 + -12 + 17 - 87. -96 What is -42 - (17 + 1 + (80 - 90) - 9)? -41 (26 + 7 - 0) + -46 -13 What is the value of -11 + 11 + -51 + 36? -15 What is (2 - -16) + -41 + (-7 - -27) + -1 + -33? -37 Evaluate 11 + (-10 - (11 - 6)) + -50 + 114. 60 (-9 - -1 - 7) + (35 - (-12 + 28)) 4 Calculate -899 - -769 - (-3 + -11 - (-1 + 5 + -6)). -118 (40 - 87) + -55 + 181 79 58 + (12 - 3) + (-7 - (10 + -6 + 2)) 54 Evaluate (46 - 3) + 3 + 712 + -723. 35 Calculate 3 + (9 - (25 + 10)) + 2 + (-3 - -2). -22 Calculate 45 + (47 - (74 - -4)). 14 Calculate (-159 - -106) + (81 - 21). 7 What is 8 + -11 + 9 + (-12 - (-58 - 15))? 67 (-11 - (-14 + 9 - 21)) + (-1 - (4 - 0)) 10 What is 12 - (32 + (1 + -9 - 2))? -10 What is -39 + 1 - (81 - 82)? -37 Calculate 16 - 12 - -15 - 52. -33 What is (8 - (-3 - -1) - 21) + 7 + (2 - 3)? -5 What is the value of -107 - -134 - (-4 + -3) - 9? 25 78 + -34 - (-9 + -6 - -21) 38 What is 1 + 5 - (-2 + -2) - (-169 + 121 + -66)? 124 What is (403 + -389 + (-19 - -1) - (62 + -1)) + 6? -59 Calculate -6 - (22 + -8 + -1) - -2. -17 What is (-200 - -189) + 6 + 48? 43 Evaluate -34 + (3 - (-23 - 10) - (15 - -7)). -20 What is the value of 17 + 5 + -40 + 37 - 2? 17 (1 - -4) + 26 + (-511 - -504) 24 Evaluate -120 + (392 - 256) + -2 + -142 + 2. -126 What is (1644 - 1644) + 0 + -78? -78 Calculate (7 - 42 - -39) + -3 + (-2 - -10) - -29. 38 Evaluate 6 + (-2 + -6 - (-49 - -23) - -2). 26 What is (-15 - (-8 + -2 + 1 - -4) - -15) + 43? 48 -2 - (-57 + -14) - (7 - (2 + (-4 - -5))) 65 Evaluate (36 - (-38 - -25)) + 5. 54 What is the value of -73 + (58 - 7) + -13? -35 What is the value of 62 + (-162 + -33 - -86)? -47 What is 4 + (-8 - (-14 + -2)) - 15 - (9 - -65)? -77 Evaluate -23 - (-25 + 51 + 2 + -78). 27 What is 31 + -19 + 10 - -21 - 27? 16 What is the value of (3 - 16) + 14 + 6 + -9 + 4? 2 Calculate 40 - (-22 + -8 + 17 + 12). 41 31 + -27 + 56 + (-4 - 5 - (-4 - 2)) 57 What is the value of -14 + (-18 + -5 - (3 + -21))? -19 -47 + (0 - (-1 + -2)) + (51 - -15 - 59) -37 Evaluate 10 + (-680 + 612 - ((-3 - -6) + 2 - 3)). -60 (-30 - -19) + (1 - 53) + (13 - 17) + -1 -68 What is 120 - 70 - (22 - -25)? 3 Calculate -28 - (-104 - (-280 + 144)). -60 What is the value of 1142 + -1138 - (-1 + (4 + -5 - 0) - -122)? -116 Evaluate 32 + (-65 - (2 + 6 - -17)). -58 What is -8 - (-41 - (-42 + 20 + 10))? 21 Evaluate -11 - (-2 + 28 - (-3 - 3 - -4)). -39 What is the value of (12 - 44 - -4) + 26? -2 What is the value of 45 - (54 - (60 - 18))? 33 What is the value of 12 - ((-8 - -6) + -9 - (-90 + 18))? -49 What is the value of 248 + -99 - (-102 - -215)? 36 What is the value of 0 - -30 - (-6 - (79 - 68))? 47 What is the value of -34 + 99 + 3 + -33? 35 What is the value of (-35 - (-125 + 64)) + 6 + -3? 29 Evaluate (4 - (33 + -17 - 5)) + -44. -51 Evaluate 18 - (-10 + -31 + 69). -10 Calculate 40 + 113 + -168 - 23. -38 Calculate 49 + (51 + -58 - 32). 10 What is (0 + -22 + 13 + -1 - -11) + 10? 11 -19 - (22 + -9) - 12 -44 -29 - -145 - ((-9 - -16) + -1 + -3 + 3) 110 Evaluate 9 + (-3 - (-11 + 10) - (1 - 61) - 7). 60 Calculate -2 + -6 + (14 - (-73 + 12 + -7)) - 4. 70 Evaluate 18 + 15 + -93 - -38. -22 What is the value of (1 - 5) + (75 - (-75 - -135))? 11 What is the value of 88 + 15 + -139 - 58? -94 What is the value of (-148 - -35) + 20 - -105? 12 Evaluate (-17 + -10 - -50) + (-101 - 3). -81 What is 11 + (-2 - 47) + 49? 11 What is 43 + 29 + -31 - 2? 39 Calculate -3 + (22 + (-9 - -4) + -13 - (11 + 0)). -10 What is the value of -67 + 17 + (-8 - -13) + 8 + (-1 - 8)? -46 Evaluate -13 - -20 - (9 - -35). -37 Evaluate (-152 - (230 + -367)) + (-1 - 66). -82 Calculate 134 + (-23 - 15) + -37. 59 What is 0 - -23 - (62 - (111 + -70))? 2 Calculate -102 + -76 - -46 - -9. -123 Evaluate (-563 - -582) + (-1 - -47) - (0 - 9). 74 What is 154 - ((-28 - -33) + 40) - -14? 123 -4 + -59 - ((-314 - -305) + (-1 -
{ "pile_set_name": "DM Mathematics" }
Let o = 28 + -25. Suppose 5*c + 2*s = 360, 3*c + o*s - 86 - 130 = 0. What is the common denominator of 860/c + -4 + -2 and 37/16? 144 Suppose 0 = 18*d - 10*d - 40. Suppose d*o - 6 + 1 = 0, 0 = 5*a - 5*o - 40. Calculate the least common multiple of a and 1. 9 Let k = -108 + 129. What is the smallest common multiple of ((-45)/(-20))/((-1)/(-4)) and k? 63 Let g(u) = u**3 + 4*u**2 + u + 6. Let v be g(-3). Let b = 2011/192 - -5/192. Find the common denominator of b and 3/v*(285/(-12) + -1). 16 What is the common denominator of (-466)/(-24) + (-3)/12 and (-3)/12 + 103/(-28)? 42 Suppose 0 = -2*z + 22 + 18. Let s = -9 + z. What is the least common multiple of 15 + (-6 - -3 - 3) and s? 99 Suppose -18 = 3*l - 5*l. Calculate the smallest common multiple of 5/(2 - 2/2) and l. 45 Let n be (1 - (-586)/30)*(-35)/3. Let p = n - -171823/720. Find the common denominator of p and 93/16. 80 Let q = -21 - -24. Find the common denominator of q*(-4)/(-12) + -23 and 89/4. 4 Let m be 2/3*255/(-12). Let y = m - -271/18. Find the common denominator of (-9)/12 + 322/(-8) and y. 9 Suppose -4*w + 126 = -1466. Calculate the common denominator of w/168 + (-1)/4*3 and -59/3. 21 Suppose 0 = -7*t + 4*t - 45. Let q = t + 26. What is the lowest common multiple of q and (-238)/204 + (-62)/(-12)? 44 Let o(v) = 2*v + 8. Calculate the lowest common multiple of o(5) and ((-117)/(-26))/((-3)/(-16)). 72 What is the common denominator of -25/2 and (5 + 132/(-15))/((-6)/(-15))? 2 Let p = 240 - 172. Calculate the least common multiple of 44 and p. 748 Suppose 103*m + 13090 = 158*m. Calculate the smallest common multiple of 238 and m. 238 Suppose -d - 2 = -2*j, -3*d + 4*j = 2*d - 20. Find the common denominator of (1 - 0) + (-1 - (-140)/d) and -14/3. 6 Suppose p - 15 = -3*z, -3*z + 27 = 4*p + p. Calculate the least common multiple of (72/32)/(p/16) and 6. 12 Let g = 301/9 + -284/9. Let q be ((-196)/6)/(12/(-234)). Let a = q + -1877/3. Calculate the common denominator of g and a. 9 Let r = -1 - -2. Suppose -23 = -4*n + r. What is the smallest common multiple of n and 22? 66 Suppose -3*s - 1723 = 2*m, 4*s - 988 = m - 110. What is the common denominator of m/120 - (-7)/(-35) and (-4490)/600 - (-6)/(-10)? 12 Suppose 23*g + 0*g = 1265. Calculate the smallest common multiple of 30 and g. 330 Suppose 5 + 5 = -3*d + 5*p, -d = p - 10. Suppose -d*r + 3 = -4*z, 2*r + 4 = z + 7. Calculate the lowest common multiple of (-4 + 1)/(27/(-18)) and z. 6 Let m(f) = f + 11. Let g(x) = x**3 - 7*x**2 + 8*x - 3. Let d be g(6). Let w = d + -3. What is the least common multiple of m(7) and w? 18 Let l = 41099/4430 + 10/443. Let h be 1/(-6) + 22/(-12). Calculate the common denominator of l and 3 + (-351)/42 + h. 70 Let r(v) = -5*v - 2. Let n be r(-1). Suppose n*c = -c. Suppose -4*l + 21 + 27 = c. What is the least common multiple of l and 7? 84 Suppose -3 + 41 = -2*q. Let f = -13 - q. Suppose 12 = s + f. What is the smallest common multiple of s and 22? 66 Suppose -8 = 130*j - 134*j. Suppose 37 = j*b + 15. What is the least common multiple of b and (1*-3)/((-3)/2)? 22 Suppose 0 = -4*v - 6*u + 560, 4*v - 7*v + 4*u + 420 = 0. Calculate the lowest common multiple of v and 10. 140 Find the common denominator of 4/(-10) - 504/(-110) and (-1139)/(-1020)*18 + -12. 110 Let l = 187/28 + -27/14. What is the common denominator of l and (213/(-12))/((-3)/(-6))? 4 Suppose n = 1680 - 561. Find the common denominator of n/(-198) - (-2)/(-22)*2 and 85/2. 6 Let z = -11 + -7. Let l(b) = -b**3 - 17*b**2 + 18*b + 9. Calculate the lowest common multiple of 8 and l(z). 72 Let p = -2759671/134 - -20595. What is the common denominator of -145/24 and p? 1608 Let q = -226 + 260. What is the smallest common multiple of 11 and q? 374 Suppose x + 2*i = -0*i + 142, -5*i - 710 = -5*x. Calculate the smallest common multiple of 22 and x. 1562 Suppose -222*f = -5*s - 220*f + 171, 5*f - 84 = -3*s. Suppose 4*q + q - 60 = 0. Calculate the smallest common multiple of s and q. 132 Let b = -57 + -38. Let x = 133 + b. Calculate the lowest common multiple of x and 22. 418 Let h = -89 + 89. Let g = -2 - -5. Let s = g - h. Calculate the lowest common multiple of 8 and s. 24 Let r(b) = b**3 + 5*b**2 + 2. Let s be r(-5). Let u = s + -6. Calculate the common denominator of -119/6 and 1/u - (-296)/24. 12 Calculate the common denominator of -67/2 and 17/(-68) - ((-54)/(-88) + -1). 22 Suppose 3*q - 164 = 4*l - 9*l, 3*q - 152 = -2*l. Let p = 2530 + -20303/8. Calculate the common denominator of 1 + (106/q - -3) and p. 24 Suppose 0 = 5*l - 2*t - 179, 5*t - t = -8. Let x = 62 - l. Let w = -17 + x. Calculate the lowest common multiple of 3 and w. 30 Suppose -2*y = 5*v - 25, -4*y + 26 = -2*v + 4*v. Calculate the smallest common multiple of v and 174/12 - 2/(-4). 15 Suppose 0 = -0*c + 4*c + 632. Calculate the common denominator of (-286)/11*21/72 and c/132 + (-4)/6. 132 Suppose 3*w = -5*n + 61, 2*n + 14 - 48 = -2*w. What is the lowest common multiple of w and 159? 636 Let c = -32455/43946 + 4/9417. Find the common denominator of c and -83/231. 462 Calculate the common denominator of (-86)/(-21) + 18/(-42) and -35/171. 171 Let t(k) = 5*k + 321. Calculate the smallest common multiple of t(-44) and 3. 303 Let h = -4 - -9. Suppose -h*i = -2*i. Suppose 2*j - 6*j - 5*u + 8 = i, -8 = 2*u. What is the smallest common multiple of 9 and j? 63 Calculate the common denominator of -95/72 and (-707)/112 + 0 - 0/1. 144 Suppose -4*l = -3*v - 3270 + 1011, 5*v = 5*l - 2825. What is the common denominator of l/(-27)*21/56 and 101/138? 138 What is the common denominator of -65/176 and (7/25)/((-32)/(-40))? 880 Let u be (-5)/20 - 91/116. Let m = u + 613/116. Find the common denominator of m and -23/44. 44 Let m = 50584801/3906 - 116489/9. Let i = 43/31 - m. Find the common denominator of (-8)/(-10) - 793/60 and i. 84 Let l = -733/20 + 121/4. Find the common denominator of l and -8/13. 65 Let m(j) = -5*j**2 + 84*j - 88. Calculate the smallest common multiple of m(12) and 18. 1800 Let q = -87 - -59. Calculate the common denominator of (1/(-3))/(q/(-240)) and ((-2)/44)/((-1)/(-102)). 77 Suppose 5*u = -2*h, u - 15 = -4*u + h. Let a = u - -10. What is the smallest common multiple of a and 1/(-3) + (-55)/(-3)? 36 Let t = 89/2 - 811/18. Let i(y) = 2*y**3 + 18*y**2 + 5*y + 17. Let r be i(-9). Calculate the common denominator of (-2)/((-64)/r) - -3 and t. 72 Let g = 65373 - 7452461/114. Calculate the common denominator of -47/6 and g. 114 Suppose 177*p - 172*p = 60. Calculate the lowest common multiple of p and 32. 96 Let f = 599/104 + -70/13. Find the common denominator of (-167)/(-21) - 3/(-9) and f. 56 Suppose 4*o - 17*a + 12*a - 959 = 0, 0 = 3*o - 3*a - 717. What is the lowest common multiple of 118 and o? 236 Let y be 872016/(-128)*4/6. Let i = y + 4565. Find the common denominator of i and -99/10. 20 Calculate the common denominator of 25/9 and 24/30*29/22. 495 Suppose -26*b + 15*b = -176. Calculate the smallest common multiple of b and 88. 176 Suppose -3*h - 23 = -5*t, h + 27 = 5*t - h. Calculate the least common multiple of 11 and t. 77 Suppose 40 = 4*z + 5*y, 3*z + 0*y - 30 = -3*y. Suppose 0 = -14*g - 1182 - 540. Let c = -118 - g. What is the smallest common multiple of c and z? 10 Suppose 4*r = 601 - 537. Calculate the smallest common multiple of 136 and r. 272 Suppose -4*w + 3*q = -495, -27 = q - 26. Calculate the smallest common multiple of 3 and w. 123 Let x = -3 - 4. Let u = x + 11. Calculate the smallest common multiple of 22 and (-2 - u)/2 - -21. 198 Suppose 11 = 2*l - l. Let w(s) = 0 + 0 - 1 - 11 + 3*s. What is the smallest common multiple of l and w(6)? 66 Calculate the common denominator of 176/(-132) + (-86)/(-55) and -17/15. 165 Let g = 121/2 - 265/6. What is the common denominator of ((-2)/(-10))/(120/(-3425)) and g? 24 What is the common denominator of -37/232 and (-135)/(-198) + 7 - (7 - 2)? 2552 Suppose -4*x - 795 + 2911 = 0. Let n = -1444 + x. Calculate the common denominator of -97/2 and (n/(-20))/(42/4). 14 Let w = -5855621/100 - -58557. What is the common denominator of w and -13/100? 100 Calculate the common denominator of -65/42 and (214/24 - -5)/3 - 5. 252 Let a = -178 + 214. Calculate the smallest common multiple of 18 and a. 36 Let n(r) = r**3 + 33*r**2 - 28*r +
{ "pile_set_name": "DM Mathematics" }
ed without replacement from {f: 2, l: 10, b: 6}. Give prob of picking 3 l and 1 f. 4/51 Four letters picked without replacement from {n: 1, s: 1, u: 2, b: 1, o: 2, m: 2}. Give prob of picking 2 u and 2 o. 1/126 What is prob of picking 3 h when three letters picked without replacement from {o: 4, h: 4, s: 6}? 1/91 Calculate prob of picking 1 v and 1 u when two letters picked without replacement from dvu. 1/3 What is prob of picking 2 s when two letters picked without replacement from {s: 4, g: 3}? 2/7 What is prob of picking 2 i, 1 d, and 1 n when four letters picked without replacement from irndrndbbniddli? 12/455 What is prob of picking 2 c when two letters picked without replacement from ncncncccnnccccnnnccn? 11/38 Calculate prob of picking 2 l and 1 b when three letters picked without replacement from {b: 2, l: 3}. 3/5 Three letters picked without replacement from {h: 3, m: 4, u: 1, s: 2, e: 1}. Give prob of picking 3 m. 4/165 Calculate prob of picking 2 b and 2 e when four letters picked without replacement from ebrerebbemere. 9/143 Two letters picked without replacement from {e: 5, n: 1, x: 1, a: 1, g: 2, q: 3}. What is prob of picking 2 g? 1/78 Three letters picked without replacement from {i: 1, n: 10, m: 7}. What is prob of picking 2 m and 1 n? 35/136 Calculate prob of picking 1 a and 1 j when two letters picked without replacement from kmknajnmjmkmnkjlj. 1/34 Three letters picked without replacement from {s: 4, h: 7}. What is prob of picking 3 s? 4/165 Calculate prob of picking 3 x when three letters picked without replacement from {b: 3, x: 3, e: 4, o: 4}. 1/364 Calculate prob of picking 1 y and 1 b when two letters picked without replacement from yyvyyyybbvvvby. 3/13 What is prob of picking 1 n and 3 m when four letters picked without replacement from {n: 2, m: 4}? 8/15 Three letters picked without replacement from hhmmhmorho. Give prob of picking 1 m and 2 h. 3/20 Four letters picked without replacement from rwrruurxrxwxrxxxrr. Give prob of picking 2 r and 2 u. 7/765 Two letters picked without replacement from {k: 4, u: 1, q: 1, o: 1, v: 1}. Give prob of picking 1 u and 1 k. 1/7 Calculate prob of picking 1 e and 1 j when two letters picked without replacement from eejiijii. 1/7 Three letters picked without replacement from ljkjz. What is prob of picking 1 z, 1 l, and 1 k? 1/10 Three letters picked without replacement from {o: 1, g: 2, v: 1, a: 10, x: 4}. What is prob of picking 2 v and 1 a? 0 Calculate prob of picking 2 x and 1 d when three letters picked without replacement from xdxqdxdxxd. 1/3 What is prob of picking 1 e and 2 w when three letters picked without replacement from {v: 3, i: 1, w: 1, t: 2, e: 8, b: 2}? 0 Calculate prob of picking 2 z, 1 i, and 1 f when four letters picked without replacement from {i: 2, z: 2, f: 1, o: 8}. 2/715 Four letters picked without replacement from qsqsbgsqqsssbssgqs. What is prob of picking 2 q and 2 s? 2/17 Calculate prob of picking 2 a and 1 f when three letters picked without replacement from aaof. 1/4 What is prob of picking 1 b and 2 g when three letters picked without replacement from {b: 6, g: 4, e: 1, c: 2}? 18/143 What is prob of picking 1 n and 2 d when three letters picked without replacement from {f: 11, n: 4, d: 3}? 1/68 Four letters picked without replacement from {c: 11, a: 8, n: 1}. What is prob of picking 1 c and 3 a? 616/4845 Three letters picked without replacement from {a: 2, c: 2, n: 1, k: 1, e: 1, b: 1}. What is prob of picking 1 e, 1 k, and 1 c? 1/28 Calculate prob of picking 3 u and 1 x when four letters picked without replacement from {x: 15, u: 4}. 5/323 Three letters picked without replacement from {n: 3, h: 11}. What is prob of picking 3 h? 165/364 Calculate prob of picking 2 w when two letters picked without replacement from iionwiiqwi. 1/45 Three letters picked without replacement from ooohhhhoohtthho. What is prob of picking 1 h and 2 o? 3/13 What is prob of picking 1 l and 1 n when two letters picked without replacement from niyylyyiyi? 1/45 Three letters picked without replacement from hhhihaohp. What is prob of picking 1 a, 1 i, and 1 p? 1/84 What is prob of picking 1 s and 2 x when three letters picked without replacement from {x: 6, n: 2, s: 7}? 3/13 Calculate prob of picking 2 q and 2 h when four letters picked without replacement from qhqhhhhqqhhqq. 63/143 Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {z: 1, y: 1, g: 1}. 1/3 Two letters picked without replacement from {g: 3, z: 2, b: 9, x: 2}. Give prob of picking 2 g. 1/40 Calculate prob of picking 1 k and 3 z when four letters picked without replacement from {z: 10, k: 2}. 16/33 Two letters picked without replacement from sssssqssssss. Give prob of picking 1 q and 1 s. 1/6 What is prob of picking 1 y, 2 d, and 1 k when four letters picked without replacement from {y: 1, f: 1, j: 1, d: 1, x: 1, k: 2}? 0 Four letters picked without replacement from uhahjqjjhuuhghh. What is prob of picking 2 h and 2 j? 3/91 Four letters picked without replacement from uugguuuuuuguuugg. Give prob of picking 1 g and 3 u. 165/364 Two letters picked without replacement from {q: 3, u: 5}. Give prob of picking 1 u and 1 q. 15/28 Two letters picked without replacement from jiiiiiiij. What is prob of picking 2 i? 7/12 Two letters picked without replacement from ddcccdcccc. Give prob of picking 2 c. 7/15 Two letters picked without replacement from gciggigmcgicqccfiiii. What is prob of picking 1 m and 1 g? 1/38 Four letters picked without replacement from {f: 2, h: 1, g: 2, o: 1, z: 4, c: 4}. What is prob of picking 1 c, 1 f, 1 g, and 1 h? 16/1001 Three letters picked without replacement from {h: 1, b: 3, y: 5, w: 5, l: 1}. Give prob of picking 2 y and 1 h. 2/91 Four letters picked without replacement from iiiiziizzzizziibzi. What is prob of picking 4 z? 7/612 What is prob of picking 1 p, 1 o, and 1 r when three letters picked without replacement from pronnnpnrpcn? 3/110 What is prob of picking 3 k and 1 a when four letters picked without replacement from aakaakk? 4/35 What is prob of picking 3 n when three letters picked without replacement from knnnk? 1/10 What is prob of picking 1 y and 1 z when two letters picked without replacement from {y: 2, z: 4, p: 1}? 8/21 Calculate prob of picking 2 x when two letters picked without replacement from xwwwxwfxwz. 1/15 Calculate prob of picking 2 o and 1 c when three letters picked without replacement from {c: 6, o: 4}. 3/10 What is prob of picking 2 c and 1 x when three letters picked without replacement from cxsssslmsxrcsxm? 3/455 Three letters picked without replacement from pyppypypplpypypppppp. What is prob of picking 2 y and 1 l? 1/114 What is prob of picking 2 l when two letters picked without replacement from {l: 2, c: 1, z: 4}? 1/21 Calculate prob of picking 3 g and 1 y when four letters picked without replacement from yyyyyygggyy. 4/165 Two letters picked without replacement from {u: 3, x: 3}. What is prob of picking 2 x? 1/5 Four letters picked without replacement from ncnnqcqqnccsnnccss. Give prob of picking 2 q and 2 n. 1/68 Three letters picked without replacement from qqzfnqfnufnfn. Give prob of picking 1 n, 1 u, and 1 z. 2/143 Four letters picked without replacement from {j: 3, m: 3, e: 2, x: 2, c: 4, o: 1}. Give prob of picking 2 o and 2 m. 0 What is prob of picking 1 b, 1 w, 1 d, and 1 z when four letters picked without replacement from zbzhzwzzbbbwzdj? 16/455 Three letters picked without replacement from jstxsex. What is prob of picking 1 e, 1 t, and 1 s? 2/35 Two letters picked without replacement from zzzzozbzzzz. Give prob of picking 1 o and 1 z. 9/55 Four letters picked without replacement from {o: 1, h: 2, y: 1, v: 2, c: 1}. Give prob of picking 2 h, 1 y, and 1 o. 1/35 What is prob of picking 3 i when three letters picked without replacement from jiiiijijji? 1/6 Calculate prob of picking 1 k and 3 v when four letters picked without replacement from kcccckkvcvkkckkc. 0 Three letters picked without replacement from uuuiuixyyyiiuxyuui. Give prob of picking 1 y and 2 i. 5/102 Calculate prob of picking 1 v and 1 m when two letters picked without replacement from gimbvgmiiiimi. 1/26 Two letters picked without replacement from {
{ "pile_set_name": "DM Mathematics" }
v in increasing order. v, b, n Let n = -19916964132 - -4859711633333/244. Let k = 113176 + n. Let z = k - 2/61. Sort -4, z, -1 in descending order. z, -1, -4 Let h(b) = b**2 - 3*b - 9. Let w be h(5). Sort 2/31, 3/5, -1/4, w in descending order. w, 3/5, 2/31, -1/4 Let u = -3.63 + -0.37. Put u, 1.9, 3/5 in decreasing order. 1.9, 3/5, u Let y(k) = 0*k - 365*k**3 - k**2 + 361*k**3 + 1 - k. Let a be y(1). Sort 1, 3, a in descending order. 3, 1, a Let n(m) = 3*m + 25. Let q(u) = -2*u - 12. Let h(k) = 2*n(k) + 5*q(k). Let y = 53 + -56. Let b be h(y). Sort 4, -5, b in ascending order. -5, b, 4 Let v = 306 + -3972/13. Sort 0.4, 13, v in decreasing order. 13, v, 0.4 Let h = -2.13 + 0.13. Suppose -s + 3*o = 3*s - 29, -2*s - 2 = 4*o. Suppose 2*u = -g + 6*g - 14, -3*g - 3 = -s*u. Sort h, -0.1, g in ascending order. h, -0.1, g Let y(s) = s**3 + 18*s**2 - 20*s - 21. Let k(r) = r**2 + 15*r - 19. Let v be k(-15). Let a be y(v). Sort -4, -3, a. -4, -3, a Let u be 2/(-9) + (-6)/(-27). Suppose u = o - 7*o. Put -4, 2, o, 6 in descending order. 6, 2, o, -4 Let m = -2.7 + -0.3. Let t = 32 - 45. Let x = 14 + t. Sort m, x, 1/11 in increasing order. m, 1/11, x Let d be ((-30)/3)/(1/(-3)). Let h = 31 - d. Sort -5, h, 21. -5, h, 21 Suppose -4*z + 3*z + 4 = g, 5 = 2*g + z. Put -2, g, -3, 18 in decreasing order. 18, g, -2, -3 Let x be (-32)/16*((-5)/(-2) - 2). Let z be x + 5/5 + -3. Sort 0, 7, z, 5 in decreasing order. 7, 5, 0, z Suppose 2*o + 20 = -4*b, -3*b - 4 = -b - 2*o. Let r(d) = -d + 7. Let z be r(5). Suppose -7 = 5*f - z. Sort f, -3, b in decreasing order. f, -3, b Let z(g) = g**2 - 6*g + 5. Let w be z(6). Suppose -w*k = 49 - 4. Let d = k + 5. Sort d, 4, 2. d, 2, 4 Let y(s) = -s**2 + 15*s - 24. Let n be y(15). Let r = -51 - -35. Let h be (-8)/(-30)*n/r. Sort 1/7, 0.2, h in descending order. h, 0.2, 1/7 Let s(t) = -t**3 - t**2 + 2*t + 4. Let j be s(-2). Let n be -1 + 1 - (-1 + j - 15). Sort 3, 2, n in decreasing order. n, 3, 2 Let x = 0.09 + -1.09. Let m = -0.8 - -0.5. Let y = -68/3 - -331/15. Sort m, x, y. x, y, m Let g be 2/4 + 14/(-4). Let q be -1 + (-5)/3 + 168/42. Put 5, q, g, 0 in descending order. 5, q, 0, g Suppose 5*v + 1 = y + 17, -3*y = -5*v + 18. Suppose -3*l + 3*x - 72 = 0, -x - 19 = l + 7. Let u = l + 21. Sort 5, v, u. u, v, 5 Let o = 136 - 137. Put -5/2, -5, -2/13, o in increasing order. -5, -5/2, o, -2/13 Let t = 6457/3 + -2153. Sort -0.4, 1, t, 1/3 in decreasing order. 1, 1/3, -0.4, t Suppose 20*a = 2*a - 360. Sort 5, -3, a. a, -3, 5 Suppose 0 = 3*x - 5*l + 26, -4*l + 22 = -2*x + 4. Put x, 1, 0.2 in ascending order. x, 0.2, 1 Suppose -9*h + 4 = -11*h. Let a be (-12)/(-21) + -290*(-5)/35. Sort h, 4, -5, a. -5, h, 4, a Let k be (-6)/9*((-583)/(-110) - 5). Sort -0.1, 11, 4, k in descending order. 11, 4, -0.1, k Suppose -2*t - 12 = 4*t. Let g be t + (-6)/8*-2. Let r = g - 0. Put -4, -1/6, r in decreasing order. -1/6, r, -4 Suppose 3*q = -35 + 5. Let s be 187/((-7 + 4)*q). Let h = -35/6 + s. Put h, -1/6, 3 in decreasing order. 3, h, -1/6 Let g be 931/833 - (-4)/(-34). Put g, 58, -4 in decreasing order. 58, g, -4 Suppose 5*j - 2*j = 3. Sort j, -5, -2 in descending order. j, -2, -5 Suppose -p - 8 = 5*u + 19, -3 = u - p. Sort 5, -1, u, -0.06 in decreasing order. 5, -0.06, -1, u Let z(u) = -4*u - 1. Suppose -2*c = -3*c - 1. Let h be z(c). Sort -4, -3, h. -4, -3, h Let x = 56 + -51. Put 2/111, x, 2, -6/5 in descending order. x, 2, 2/111, -6/5 Suppose 6*u - 62 = -38. Let x be 6/9*6/4. Sort u, -1, 6, x. -1, x, u, 6 Let m = 582 - 586. Put m, -9, -1 in ascending order. -9, m, -1 Suppose -82 + 2 = 5*p. Let r(g) = 2*g**3 + 32*g**2 - 5. Let m be r(p). Let c be -3*1/3*-1. Sort m, -3, c. m, -3, c Suppose 1008 = -12*p + 3*p. Let j be p/80 - 3/5. Sort 0, 0.2, 5, j in decreasing order. 5, 0.2, 0, j Suppose 0*i + 4*i - 2 = 2*k, 7 = -k + 5*i. Let u(m) = m + 1. Let n be u(-2). Suppose -5*t - l + 5 = 0, -3*t - 3*l - 2 = -5. Sort k, n, t. n, t, k Suppose 16 - 56 = 5*k. Let u = -11 - k. Sort u, 0, -1, -2. u, -2, -1, 0 Suppose 4*p = -p. Let h = -3239 - -3238. Sort h, -12, p, -3 in descending order. p, h, -3, -12 Suppose -52*t - 78 = -26*t. Sort 4, -789, t. -789, t, 4 Suppose 5*k = -5*c - 20, -5*k + k + 2*c - 34 = 0. Put -5, 5, -1, k in decreasing order. 5, -1, -5, k Let q = 0.397 - 0.896. Let f = -0.099 - q. Sort 4, 2, f, -2. -2, f, 2, 4 Let s(d) = d**2 - 5*d + 3. Let y be s(4). Let m be (-30)/189*3 + (-4)/2. Let z = m + 15/7. Sort 4/3, z, y in increasing order. y, z, 4/3 Let q be 13/5 - (-3)/(-45)*-6. Sort q, 6, 2 in decreasing order. 6, q, 2 Suppose -3*r + 172 = -3*u - 335, 2*r - 343 = -3*u. Let q = -169 + r. Let t(g) = -g + 5. Let k be t(5). Put k, q, -2 in descending order. q, k, -2 Let j be 1198/21 - 6/(-21). Let q = j + -58. Sort -14, 4, q. -14, q, 4 Let f(c) = -c**3 + 9*c**2 + 10*c + 6. Let i be f(10). Let m(p) = p**2 - 9*p + 15. Let o be m(i). Sort -7, 4, o. -7, o, 4 Let k = -3.3 - -3. Let t be ((-18)/27)/(3*(-6)/(-81)). Put 1/5, k, 7, t in descending order. 7, 1/5, k, t Let g = -0.04 + 0.02. Let l = 0.38 - g. Let d be (-39)/9 + 7 + -2. Sort l, d, -0.3 in descending order. d, l, -0.3 Let s be 5/3*88/220. Let b = -29.3 + 28. Let w = 3.7 - b. Sort 3, w, s in decreasing order. w, 3, s Let p = 93 - 93.03. Let t = 0.23 + 0.07. Put 0.5, p, t in decreasing order. 0.5, t, p Let g = 135 + -97. Sort g, 2, 4 in decreasing order. g, 4, 2 Let p = 16 + -21. Let q be 2/3*3/p. Let d be 6/21 - 10/(-14). Put -0.3, q, d in descending order. d, -0.3, q Let y = 60.998 - -0.002. Let r = -61.4 + y. Put -6, -0.1, r in ascending order. -6, r, -0.1 Suppose 0 = -4*s + 2*s - 2. Let a be (s/42)/(4/16). Let h = -16 - -15.9. Sort h, -0.5, a in increasing order. -0.5, h, a Let r(t) = 5*t - 58. Let q be r(12). Put q, 3, -1 in descending order. 3, q, -1 Suppose -5*w - g + 89 + 54 = 0, -3*g = -w + 19. Let q be 6*(w/(-63) - 2/9). Sort -1, -3, q in descending order. -1, -3, q Suppose 2*q + c - 17 = -2*c, 5*q - 2*c = -5. Let x be (-1 - q)/(6/12). Sort -5/4, x, 2 in ascending order. x, -5/4, 2 Let u(f) = -2*f**2 - 15*f - 14. Let t(q) = q**2 + 17*q - 6. Let b be t(-17). Let w be u(b). Sort -6, w, -4 in descending order. w, -4, -6 Let v = 2 + 1. Suppose -39*k + 1 - 196 = 0. Let f be (2*1)/((-2)/3). Sort k, v, f in decreasing order. v, f, k Let h = -284/9 - -94/3. Put h, 6, -3.1 in decreasing order. 6, h, -3.1 Suppose 0 = 53*h - 70*h - 85. Sort -21, h, -7, -1. -21, -7, h, -1 Let v be 1/(-7) + ((-880)/14)/22. Put 3/5, -18, v, -3/2 in ascending order. -18, v, -3/2, 3/5 Let i = -2 + 8. Suppose -2*u = -i*u. Let y(b) = b**2 - 13*b - 15. Let a be y(14). Sort u, 4, a in decreasing order. 4, u, a Let p = 62.89 + -63. Let z = 12 + -12.5. Put z, -0.3, p in ascending order. z, -0.3, p Let k = 0.6 + 1.4. Let l = 133603/84 - 1590. Let z = l - 13/12. Put z, 1, k in decreasing order. k, 1, z Let p(u) = -6*u - 24. Let f be p(-4). Sort f, 3, -5 in ascending order. -5, f, 3 Let t = -5 - -4. Let x be (6 + t)*4/150. Let q = x - 4/5. Put q, 1, 0.3 in decreasing order. 1, 0.3, q Suppose 5 = -4*h + 3*y, 4*h - 23*y + 24*y = -25. Let v = -0.27 + -0.03. Let u = 1.3 + 8.7. Sort v, u, h in increasing order. h, v, u Let t = 0.35049 + 0.04951. Suppose -z + 1 = -1. Let g be 3/(7/z + -1). Sort g, -0.5, t in descending order. g, t, -0.5 Let c(h) = h**2 - 7*h + 5. Let x be c(7). Let t = x + -7. Suppose -73*j + 68*j + 5 = 0. Sort t, j, 0.2 in descending order. j, 0.2, t Let y be 1/(-4*5/(-40)). Let t be y/(-16) + (-810)/(-80). Put -2, 2, t in increasing order. -2, 2, t Let h = 13 + -8. Suppose p - 1 = h*d + 11, 3*d + p = -4. Let m be 2 - 3 - (6 + d). Sort 5, -1, m in decreasing order. 5, -1, m Suppose 5*x - 3*f = -5*f - 1, 0 = -2*x - 5*f + 8. Let k be (2/(-6))/(1/3) - x. Put 5, k, 3 in increasing order. k, 3, 5 Suppose -9*d + 20 = 47. Sort 4, 3, d, -15 in decreasing order. 4, 3, d, -15 Let s(k) = k**3 + 7*k**2 - 51*k - 77. Let i be s(-11). Sort i, -4, -52 in descending order. i, -4, -52 Suppose 7*o = 3 + 11. Put o, 0, -5, 34 in descending order. 34, o, 0, -5 Let u = 5.15 - 5. Let p = -0.45 - u. Let y = -1.1 - p. Put y, 2/9, 8 in increasing order. y, 2/9, 8 Let s = -0.0229 + -0.0371. Sort s, 1/6, -6 in descending order. 1/6, s, -6 Let w = -10 - -4. Let c = w + 7. Let v be 8 - 213/27 - (-46)/(-90). Put c, v, 4 in decreasing order. 4, c, v Le
{ "pile_set_name": "DM Mathematics" }
6*u - 9 + 4. Let p be r(i). Solve -3*b + p = -6 for b. 4 Let b = 1494 - 1492. Suppose -q + 8 - 24 = -5*k, 5*q = -5*k + 40. Suppose 3*w = 2*u + 44, 0 = -2*w + 6*w + q*u - 32. Solve -6*a + b*a = -w for a. 3 Let d = 29012 + -29006. Let q be (1 - 1)/(0 + -1). Solve q*p + d = -2*p for p. -3 Let g(i) = -2*i**2 + 44*i - 158. Let k be g(15). Solve -k = 3*u - 34 for u. -6 Let y = -3690 - -3697. Solve 12*n = y*n + 10 for n. 2 Let g(b) = b**3 + 4*b**2 - 6. Let k be (-10)/(-80) + (-17)/8. Let i be g(k). Solve -3*a = -7 - i for a. 3 Let y be (9/4)/((-8)/(-96)). Suppose 27*f = 216 + y. Solve 0 = f*v + 41 + 4 for v. -5 Suppose -4*s + 2*s - 3*w + 6 = 0, 4*w + 12 = 4*s. Suppose -4*v - s*g = -23, 2*g + 0*g = 2. Solve 2*p - 5 = v for p. 5 Let g be ((-870)/14)/(-3) - (234/91)/(-9). Solve g*p + 5 = 26*p for p. 1 Let a = -694 + 700. Suppose -523 = -a*y - 475. Solve 3*c - y = c for c. 4 Suppose 211 = 4*j + 195. Let n be 6 + (2 + -2)/j + -3. Let p = -19 + 31. Solve n*s = -3 - p for s. -5 Let s be (132/(-48))/(3/36*-1). Suppose -16*l + 15 = -s. Solve 2*x + l*x = -x for x. 0 Let t be 265/10*64/16. Solve 108*r + 10 = t*r for r. -5 Suppose -2*y - 10 = 0, 0 = -4*r - r - y + 10. Suppose 2*c - r = 3. Suppose c*s = 2*s + 5*s. Solve 4*v - 8 + s = 0 for v. 2 Let x(g) = -g**3 + 7*g**2 + 18*g - 18. Suppose -6*c + 3*c = 2*a - 31, a - 3*c = -7. Let v be x(a). Suppose 0 = -f - 59 + v. Solve -f = -2*p - 1 for p. 1 Let r(d) = -189*d - 22. Let k be r(2). Let l = k - -405. Suppose -2*o + 0*h = -3*h, -o = 3*h. Solve o = b - l*b for b. 0 Let h(m) = -229*m + 2046. Let p be h(9). Let s(z) = -1. Let c(j) = 5*j + 67. Let i(v) = -c(v) - 4*s(v). Let b be i(p). Solve 0*k - 3*k = -b for k. 4 Suppose 3*p + 19*f - 17*f = 80, p + 3*f = 22. Solve -26*t = -p*t - 12 for t. -6 Suppose -3*i = g + 6, 3*g - 4*i - 88 = -28. Solve 7*b = 40 - g for b. 4 Suppose 76*g = -23*g + 198. Solve -g*x + 15*x - 52 = 0 for x. 4 Suppose -12*l + 19 = -17. Let o be 4/(-22) - 466/(-22). Let n = o + -21. Solve 2*x - 3 - l = n for x. 3 Let m = -52 + 56. Suppose -9*r = x - 6*r - 3, 5*r = -m*x + 12. Suppose -8*t + 10*t - 10 = 0. Solve x = -4*a - t for a. -2 Let q = 87 + -37. Let c = q + -90. Let t be 31/4 - c/32. Solve -2*r = r - t for r. 3 Let q(l) = -l**3 - 23*l**2 - 22*l + 5. Let x = 2 - 39. Let y = 15 + x. Let j be q(y). Solve -m = -j*m + 12 for m. 3 Let f = 4956 + -4951. Solve 71 = -f*m + 96 for m. 5 Suppose -56 + 30 + 330 = 152*x. Solve x = y - 2*y for y. -2 Let j be 22925/1925 - ((-3)/33 - 0). Solve -44 = 14*z + j for z. -4 Let f(o) = 3*o + 18. Let m be (1/2 - 0)*-22. Let b be f(m). Let c be 9/b + 33/55. Solve 0 = -q - c*q for q. 0 Let j(w) = -35*w - 9. Let k be j(-1). Suppose -k*d = -22 - 108. Solve -10 - d = -3*l for l. 5 Let l = -473 + 490. Solve 25*z - 11*z = l*z for z. 0 Suppose -171*z = -198*z + 891. Solve z*d - 34*d = -6 for d. 6 Let m = -2136 - -750. Let l be m/(-726) - 1/(-11). Solve l*j = j + 3 for j. 3 Suppose -2*y + 8*o - 11*o = -289, 3*y - 2*o - 414 = 0. Solve y = 14*d - 49*d for d. -4 Suppose 0 = 5*i - 0 - 10. Suppose -i*f + 12 = 4*l, 5*l = 3*l + f + 2. Solve -l + 22 = 5*m for m. 4 Let s = -4860 + 4861. Let k = -14 - -19. Solve -3*g - k = s for g. -2 Let b be 4/(-24) + (-1443)/(-18) + 18/(-9). Solve b - 90 = -3*p for p. 4 Suppose -10*f - 110 = -1520. Let m = 141 - f. Solve -9*o + 5*o = m for o. 0 Suppose 5*h = -0*p + 2*p - 5, -h - 1 = -p. Suppose -68 - 1 = 52*f - 329. Solve 7*n - 8*n - f = p for n. -5 Suppose 32*d - 455 = -29*d + 33. Solve -d = -4*h + 12 for h. 5 Let v(c) = c**2 + 233*c + 5584. Let n be v(-27). Solve n*z - 13*z = -18 for z. -2 Suppose -2*d - 42 + 106 = 0. Let g be -1 + 7 - 10/15*15. Let t be 0 - g/(-2) - d/(-4). Solve 2*x + 4 + t = 0 for x. -5 Let i = -675 + 682. Suppose 44 + i = 5*u - 4*g, 3*u - 4*g = 37. Solve -6 = -9*n + u*n for n. 3 Suppose -c = -2*m + 19, 2*m - 53 = -2*m - c. Let t be 0*(((-484)/(-16))/11 + -3). Solve 0 = 3*f + m - t for f. -4 Let m(g) = g**2 + 11*g - 23. Let d be m(-10). Let z = 49 + d. Suppose 0 = -2*o + 6*o - z. Solve 0*i = o*i for i. 0 Suppose 4*t + 29 = 37. Let u(c) = -10*c**2 + 12. Let k be u(0). Solve 11*y = k*y + t for y. -2 Let x(p) = -3*p**3 + p**2 + 3*p - 1. Let y be x(3). Let n be 4/60*6 - y/(-10). Let j be 28/21 + (-4)/n. Solve 4*g - 2 = j*g for g. 1 Suppose -3*u - 4*i + 118 = 0, 46 = 18*u - 17*u - 2*i. Solve -2*g + u = 36 for g. 3 Let l(k) = k**3 + 8*k**2 - 25*k - 221. Let r be l(-7). Solve 24*i + r*i + 54 = 0 for i. -2 Let a = 22 + -22. Let h(k) be the second derivative of -k**3/6 - k**2/2 - k. Let d be h(-3). Solve -j - 6 + d = a for j. -4 Let k be ((-18)/27)/((-2)/9). Suppose 0 = k*o - 4*o + 40. Let d be ((-60)/o)/((-3)/4). Solve 1 = d*i - i for i. 1 Let m(i) = -i**3 + 12*i**2 - 22*i - 3. Let k be m(9). Suppose 11*c = -9 + k. Solve c*o + 20 = -2*o for o. -4 Suppose -5*x - 5*c + 368 + 12 = 0, x = -4*c + 61. Let u be 2 + (-32)/18 + (-18)/x. Suppose 2*f + 2 = -2*q - u*f, f = 4*q - 16. Solve 0 = m - q + 1 for m. 2 Let x be -6*3/(-3) + -2 + 4. Suppose -x*u - 175 = -43*u. Let i = -3 - -3. Solve -3*q - 2*q + u = i for q. 1 Let p(a) be the third derivative of 7*a**4/24 + 2*a**3/3 + 12*a**2. Let w be p(-10). Let f = 68 + w. Solve f*b = b - 1 for b. -1 Let b = 2158 - 2154. Solve -28*z - 144 = -b*z for z. -6 Let i be -6 + 14 + -2 - 6. Let y(x) = x + 94. Let b be y(0). Suppose 3*t = 5*p - b, -19 = -4*p + 5*t + 51. Solve i*d = -4*d - p for d. -5 Let p = -2152 - -2169. Solve 0 = 21*h - p*h - 16 for h. 4 Suppose 5*v + 10 = 0, -5*y - 2 = v - 35. Solve 69 = y*z + 27 for z. 6 Suppose o = 2*o - 2. Suppose 2*k - o*v + 28 = -2*k, v = 0. Let z = k + 9. Solve 7*y - z*y = 20 for y. 4 Let m be (-4)/((-15)/(-54) + (-5)/10). Suppose 24*c = 18*c + m. Solve -5 = c*j + 4 for j. -3 Let v be -14 - (385/(-20) + (-6)/(-24)). Suppose -1 - 9 = -5*a. Solve -5 - v = -a*l for l. 5 Suppose 5 = 5*w, -5*d + w = 2*w - 116. Suppose -26*s + d*s = 6. Let b be (s/6)/((-12)/144). Solve b*z = 10 + 10 for z. 5 Suppose 0 = 36*t - 31*t - 4*r - 427, -r = -3*t + 245. Solve 0 = -h - t*h - 240 for h. -3 Suppose -4*s + 4 = -3*f, -3*f = -6*f - 4*s + 28. Let k = -54973 - -54975. Solve -12 + f = k*d for d. -4 Let v = -56 - -59. Suppose 7*q = 3 - v. Suppose l + l + 2*l = q. Solve 2*r - 3 + 11 = l for r. -4 Suppose -82*f + 150 = 3*i - 85*f, 2*f = 4*i - 202. Solve 265 = i*w - 41 for w. 6 Let g(z) = z**3 + 8*z**2 + 6*z - 5. Let x = -163 - -98. Let q = 58 + x. Let i be g(q). Solve -i*a + 9 = a for a. 3 Let t(r) = -20*r**2 + 159*r + 25. Let f be t(8). Solve -4*j = -f + 1 for j. 4 Let z(w) = -w**2 - 141*w + 5536. Let g be z(32). Solve g = -70*p + 63*p - 63 for p. -9 Let j = 344 + -187. Let c = j + -154. Solve 15 = -c*u + 8*u for u. 3 Let l(x) = 78*x**2 + 28*x - 28. Let u be l(1). Solve u = -5*o + 73 for o. -1 Let u be (-1)/4 - 2726/8. Let l = 343 + u. Solve l*g - 7*g = 20 for g. -4 Let d(r) = 13*r**2 + 121*r + 995. Let k be d(-8). Solve 854*u - k*u = -35 for u. 7 Let k be 196/12*156/182 - 2. Solve -3*r - 36 = -k*r for r. 4 Let n = 4712 + -4499. Solve 0 = -n*a + 217*a + 12 for a. -3 Let l be 1/2 - (55/2)/(-5). Let q be (-48)/20*(-15)/l. Suppose b = -4*g + 7 + 1, -23 = -5*g + 2*b. Solve -q = -c - g for c. 3 Let n = 14 + -14. Let f = -17 + 25. Suppose 2*i = -n + f. Solve 0*k = i*k + 20 for k. -5 Let k(b) = 3 - 2*b**2 - 2*b**2 - 13*b + 2 + 5*b**2. Let a be k(13). Let c = 682 + -682. Solve c = -0*u + a*u + 5 for u. -1 Let y(g) = -100*g - 648. Let b be y(-7). Solve 8*v - 108 = -b for v. 7 Let t be (5 - -1) + 12/(-18)*6. Let w(r) = -t*r**2 + 22*r - 6 + 2 + 3 - 15. Let y be w(9). Solve -5*c = -c - y for c. 5 Suppose 3*w - 65 = 1. Let m = -160133 + 160135. Solve -m*x - 14 = -w for x. 4 Let y = -659 - -770. Solve -76 = 7*h - y for h. 5 Let o(i) = 2*i - 9. Suppose -w = 1 - 4, 2*y + w - 17 = 0. Suppose -5*c + 4*c + y = 0. Let v be o(c). Solve 9 = -v*g + 2*g for g. -3 Suppose r + 27*z - 24*z - 33 = 0, -4*r + 5*z = -115. Solve 84*b - r = 90*b for b. -5 Let z(p) = -123*p**2 + 1971*p - 34. Let y be z(16). Solve -y*s + 161 = 49 for s. 8 Let v = 184 + -138. Suppose -v*q = -42*q - 228. Solve 0 = 3*a - q + 54 for a. 1 Suppose -46*g = -19*g + 27*g - 378. Solve -479 + 458 = -g*d for d. 3 Let a(b) = 2*b**2 - 53*b + 28. Let x be a(26). Suppose -5 + 1 = -x*v. Suppose 9*k = 5*k. Solve k = -v*h + 1 + 5 for h. 3 Suppose -2*j - 3*x + 0*x + 5
{ "pile_set_name": "DM Mathematics" }
97995. -171409681 Calculate -45257.838 - -0.07677485. -45257.76122515 What is 6109037979445 less than 6? -6109037979439 Total of 1807.4 and -19356978.8. -19355171.4 73.87 - 132853015 -132852941.13 What is the distance between -283 and -28679.2836? 28396.2836 What is the difference between -0.20041965269 and -3? 2.79958034731 3525 - -9963264 9966789 What is the distance between -12917054088056 and -0.03? 12917054088055.97 5277.912623127 + -0.26 5277.652623127 What is -19 + -893888110306? -893888110325 Calculate -0.3 + 4964732.0819. 4964731.7819 What is the distance between 1848886 and 23712.922? 1825173.078 Subtract 64 from -577.808448258. -641.808448258 Work out -4.3368 + -4732631235. -4732631239.3368 Subtract 8661048 from 9311. -8651737 Calculate -10259149 + 12.789529. -10259136.210471 What is -0.22 minus -8886323859? 8886323858.78 Calculate 0.01 - -8277215356. 8277215356.01 -6.55 - 498020.001 -498026.551 What is 1441.06853552494 less than 4? -1437.06853552494 What is the distance between 4 and -900100780057? 900100780061 What is the distance between -1817.0655 and -44553? 42735.9345 Total of -0.1 and -581372619721. -581372619721.1 What is 204.413812 less than -5.796? -210.209812 7193998086264 + 2.6 7193998086266.6 -5.5+-8442154789 -8442154794.5 What is -311.66 take away -52000108? 51999796.34 Put together 5462.9954865131 and -0.6. 5462.3954865131 Total of -2 and 277.9800695208. 275.9800695208 Calculate -3.99535372787 + -8. -11.99535372787 Sum -539436046 and 8924. -539427122 What is 9921637 less than 41220? -9880417 Sum 69 and -0.6536743304319. 68.3463256695681 What is -55203782 less than -0.11955? 55203781.88045 What is -147587 plus 13754415.5? 13606828.5 What is -0.82471669 minus -2989.18? 2988.35528331 Calculate -2279 + -48423098798. -48423101077 Calculate -1018830955.53 - 4.6. -1018830960.13 Total of -114.8 and -2194864.9218. -2194979.7218 Subtract 0.62 from -480550557319. -480550557319.62 Calculate -168070 - -15030164.6. 14862094.6 Subtract 5.34554 from -0.1238347. -5.4693747 Work out -1312433081753 + 8. -1312433081745 Work out 290480918460 + 0. 290480918460 Calculate 7711.99 + -712653134. -712645422.01 141.90285+28508148 28508289.90285 What is 0.34814339 minus 9.67? -9.32185661 -878873592 + 0.34 -878873591.66 Add together 0.08654942 and -18095708. -18095707.91345058 533709767+-830 533708937 Put together -110 and -0.262312725844. -110.262312725844 What is -22.012 plus 36217.45? 36195.438 Subtract 1868481672869 from 0.4. -1868481672868.6 Put together 32866028 and -36062. 32829966 2+-6604588967 -6604588965 What is 0.37 less than -102874745606? -102874745606.37 Calculate 124967247 + 1202. 124968449 Add -1.60934713 and 27205. 27203.39065287 Put together -18063653781981 and -2.1. -18063653781983.1 4196268715830 + 0.3 4196268715830.3 What is 40 minus 10911669.2891? -10911629.2891 What is 233 - 660810538768? -660810538535 -43143.00752101 + -2 -43145.00752101 Add -0.48 and 126337768750. 126337768749.52 What is 1 less than -19110093145? -19110093146 Calculate -3111 + 8458192.9. 8455081.9 Calculate 0.3 + 222557217168.89. 222557217169.19 180036469 + 0.2878 180036469.2878 0.2 - -43949451421 43949451421.2 Add -3831626.66 and -7130. -3838756.66 What is 39.005993499 + 0.6402? 39.646193499 What is -0.063 - 37210024625? -37210024625.063 What is the distance between 20842 and -4516712? 4537554 Work out 3436 - -798428445. 798431881 Add -17366845776 and 3.3. -17366845772.7 Calculate 1118700531500 + 11. 1118700531511 Put together -92330024 and 6051. -92323973 Add -100188 and 11274.583. -88913.417 What is 403474 less than 1985702? 1582228 Add -271120794996 and 14. -271120794982 What is -4497.82 take away 30741685? -30746182.82 Work out -2864.15 - -316.292. -2547.858 Work out -5.3 + 58.06676346. 52.76676346 Calculate 105 + -258.869040766. -153.869040766 Work out 15675191786 - -1921. 15675193707 What is -2.1 take away 38865681738.1? -38865681740.2 Add 46.62 and -29997449. -29997402.38 What is 4760074695144 - 0.15? 4760074695143.85 -4.954559379308 - 0.49 -5.444559379308 Add -35868.28779 and -8.97. -35877.25779 Work out 0.117 + -165843.727483. -165843.610483 Sum -43.027 and 20566163110. 20566163066.973 Sum 1.47738056669 and 0.1. 1.57738056669 Calculate 11143788888 + -2. 11143788886 -9.122394 + 347.7 338.577606 What is 158499 plus -814868? -656369 What is the difference between -8032618 and -0.41844386? 8032617.58155614 Calculate -3809.128745 - -39. -3770.128745 Work out -0.7 + -217166805087. -217166805087.7 What is 3981750 + -479413? 3502337 Work out -178262.57 + -591777. -770039.57 80615.23 + 204288 284903.23 Work out 54914485842 - 0.3722. 54914485841.6278 What is 93433959 take away -884? 93434843 What is 25.28416576 + -0.1329? 25.15126576 What is -0.366 minus 19031375678? -19031375678.366 Total of -13174532.0925 and 0.5. -13174531.5925 Work out 179 - 228371750. -228371571 What is 29688 - 655.88037? 29032.11963 What is -3839998165 plus 0.33? -3839998164.67 What is 163 - -2509396036.4? 2509396199.4 What is -0.0582419 less than -0.115849? -0.0576071 Calculate -43844.84 - -820417. 776572.16 0.4 + -1196024695542 -1196024695541.6 -2210.45+-407110.08 -409320.53 What is the difference between -1398691824.2 and -7? 1398691817.2 What is -85388289094 - -12? -85388289082 What is -62.125 - -14705995837? 14705995774.875 Calculate 39061.99 + 0.7347. 39062.7247 What is 289.9 take away -16671285? 16671574.9 Calculate 184.7196289 + -4.78. 179.9396289 Add together -0.8902 and 27885721.391. 27885720.5008 Calculate -0.68174661633 + 2.9. 2.21825338367 What is 0.4 minus -24231960665? 24231960665.4 Add together 8.9598 and -2030994. -2030985.0402 -7 - -29937651676 29937651669 Work out 1479.58504566944 + -3. 1476.58504566944 Calculate -89.55 + -1062.331438. -1151.881438 Total of -5081887.425 and -6. -5081893.425 What is -2.36948027 take away 1? -3.36948027 Add 2975265789 and 0.05. 2975265789.05 What is -0.6 minus 4117.5035516? -4118.1035516 Sum -0.1 and -31841.517741. -31841.617741 Sum 173755760675853 and 1. 173755760675854 What is -0.420306 take away 0.598154? -1.01846 What is 58102.736843 + -0.25? 58102.486843 Total of -0.0593 and 0.04115672095. -0.01814327905 What is the distance between -38722218168 and -23? 38722218145 Calculate -0.1 - -1630383934260. 1630383934259.9 Put together 3.87777 and 14212.86. 14216.73777 Subtract -73.72756 from 24174. 24247.72756 Put together 2675173408 and 67. 2675173475 What is 7.6096 + 711180.8? 711188.4096 What is 82445369 minus -14518? 82459887 Add together -29.092354 and -43.6021. -72.694454 Work out 1764.8 + 1.565192288. 1766.365192288 -0.3+12517177017.839 12517177017.539 3 - 4204214.13808 -4204211.13808 Work out 6126.706175 - -88. 6214.706175 Calculate 5153 - 1307.3038354. 3845.6961646 Total of 280.68941 and -2651. -2370.31059 What is 0.2 take away 34441553310530? -34441553310529.8 What is the difference between -6099 and -5431304? 5425205 -173358244937118 - 0.2 -173358244937118.2 -6.76 + -471685122 -471685128.76 Work out -65610560490 + 33. -65610560457 What is 0.5 minus 0.85212214649? -0.35212214649 What is -122224701607 less than 2? 122224701609 What is 15483558455 less than 10? -15483558445 What is -4763 plus 618060.4? 613297.4 What is the difference between -327279 and 1328558.312? 1655837.312 Work out -0.28 - -4695879681. 4695879680.72 Calculate 148950.6277 - 0.091. 148950.5367 What is -0.650280117579 - -0.02? -0.630280117579 -2039324 + -75319568 -77358892 Add together -2318085.41563 and -0.013. -2318085.42863 Add -40364358844 and 0.5. -40364358843.5 What is 13 - -2969027359? 2969027372 Subtract -630978 from -0.005317125. 630977.994682875 What is 473.908935 minus 30.8? 443.108935 What is -388589079 take away 162? -388589241 What is -15.277 minus -70902254.51? 70902239.233 -0.60348314 - -0.583 -0.02048314 Calculate 9 - 8563.79093074. -8554.79093074 Total of -163442643107 and -0.04. -163442643107.04 Calculate -29980.08197 - 188.341. -30168.42297 Add together 1.24375305012 and -5. -3.75624694988 What is -96 + -984944847.3? -984944943.3 Calculate 772.558990755 - -0.1. 772.658990755 Add together -503365640 and 174.042. -503365465.958 Work out -87876.04 + 17398. -70478.04 -2318633581+-9383 -2318642964 What is the difference between 486 and -0.0
{ "pile_set_name": "DM Mathematics" }
Let f(z) = -5*o(z) - w(z). What is the derivative of f(y) wrt y? -81*y**2 Let y(x) be the first derivative of -3/5*x**5 + 0*x**4 + 0*x**2 - 2 + 0*x**3 + 3*x. Differentiate y(u) with respect to u. -12*u**3 Let y(d) = d**2 + 7*d + 8. Suppose 3*k + 24 = -k. Let l be y(k). Find the third derivative of -3*o**5 - 3*o**2 + 0*o**2 + o**l wrt o. -180*o**2 What is the derivative of 25*y**2 - 25*y**2 + 4*y**3 - 4 wrt y? 12*y**2 Let u = 44 + -4. What is the derivative of 8 + 10*g**4 + u*g - 40*g wrt g? 40*g**3 What is the third derivative of 13*s**2 + 185 - 6*s**2 - 191 - 71*s**3 wrt s? -426 Let p(b) be the second derivative of b**4/6 + 3*b**2 + 4*b. Find the first derivative of p(y) wrt y. 4*y Let q(k) be the second derivative of k**6/60 + k**3/2 - k**2/2 + 2*k. Let h(s) be the first derivative of q(s). Differentiate h(g) wrt g. 6*g**2 Let p(a) = 2*a - 7. Let y be p(6). Let h = -3 + y. Differentiate -c**3 + 1 - 2 + h wrt c. -3*c**2 Let i(l) = l + 7. Let r be i(-7). Suppose -2*k + 6 = -r. What is the derivative of -c**2 + 2*c**2 - k + 0*c**2 wrt c? 2*c Let a(t) be the second derivative of 0*t**2 + 0*t**4 + 0*t**5 - 5/6*t**3 + 0 + 0*t**6 - 1/42*t**7 + 4*t. What is the second derivative of a(f) wrt f? -20*f**3 Let s(z) = -z + 8. Let l be s(6). Let p be (0/((-6)/l))/2. Find the third derivative of 3*o**2 + p*o + 0*o - o**3 wrt o. -6 Let v = 16 + -12. What is the first derivative of 2*o**v + 30*o**2 - 30*o**2 + 3 wrt o? 8*o**3 Suppose -22*m = -24*m. Let s(p) be the second derivative of m*p**2 + 0*p**3 - p + 0*p**5 - 1/10*p**6 + 1/6*p**4 + 0. What is the third derivative of s(a) wrt a? -72*a Find the second derivative of -10*v**3 + 2*v**3 - 36*v - 40*v**4 + 8*v**3 wrt v. -480*v**2 Let c be -5 - 3*(-2)/(-6). Let d = c - -10. What is the third derivative of -4*g**2 - 6*g**4 + 0*g**d + 6*g**4 + 3*g**5 wrt g? 180*g**2 Let s(p) = 17*p**4 + 9*p**2. Let y(z) = -84*z**4 - 45*z**2. Let k(q) = -11*s(q) - 2*y(q). Find the third derivative of k(v) wrt v. -456*v Let m(x) = 2*x**5 - 6*x**3 + 2*x**2 - 6*x. Let t(z) = -4*z**5 + 13*z**3 - 4*z**2 + 13*z. Let w(v) = -13*m(v) - 6*t(v). Find the third derivative of w(p) wrt p. -120*p**2 Let d(s) be the third derivative of -11*s**8/168 - s**4/12 - 8*s**2. Find the second derivative of d(k) wrt k. -440*k**3 Let a(y) be the first derivative of -7*y**6/6 + 10*y**2 - 19. Find the second derivative of a(u) wrt u. -140*u**3 Let y(q) be the third derivative of 11*q**7/70 + q**6/120 - 17*q**5/60 - q**2 - 20*q. What is the third derivative of y(c) wrt c? 792*c + 6 Suppose 3*r + r = -16. Let x = 5 + r. What is the first derivative of -x + s + 2 + 0 wrt s? 1 Find the second derivative of -33 + 33 + 8*k**2 + 13*k wrt k. 16 Let p(s) be the third derivative of 0*s**5 + 1/105*s**7 + 0*s + 0*s**6 + 1/6*s**3 + 0*s**4 + 0 - 4*s**2. What is the derivative of p(m) wrt m? 8*m**3 Let n(v) = -v**5 + v**3 + v**2 - v + 1. Let t(z) = -z**3 - z**2 + 5*z - 1. Let r(m) = 2*n(m) + 2*t(m). What is the second derivative of r(c) wrt c? -40*c**3 Suppose 0*z - 3*z = -6. Find the second derivative of 0*k**z + 5*k**2 + k**4 - k - 5*k**2 wrt k. 12*k**2 Let t = -29 + 9. Let l be (-5)/t - 38/(-8). Find the second derivative of -l*u**3 + 2*u - u**3 + 4*u**3 wrt u. -12*u Let a(w) be the first derivative of 25*w**2/2 + 57*w - 10. What is the derivative of a(o) wrt o? 25 Suppose -3*m + m = -6. Find the second derivative of -19*d - 4*d**m + 7*d + 6*d wrt d. -24*d Let x = 6 - 4. Let a be 2/1 + 0/x. Differentiate -1 + a*t + 5 - 5 wrt t. 2 Let t(m) be the first derivative of -5 + 0*m**2 + 4*m - 5/3*m**3. Differentiate t(n) with respect to n. -10*n Let p(f) = -f**2 - 7*f - 3. Let s be p(-6). What is the third derivative of b**s + 3*b**2 + 3 - 3 wrt b? 6 Let t(m) be the second derivative of 0*m**3 - 1/6*m**4 + m**2 + m + 0. Differentiate t(q) wrt q. -4*q Find the third derivative of 6*l**2 + 15*l**2 - 5*l**5 + 13*l**3 - 13*l**3 wrt l. -300*l**2 Suppose 12*u = 11*u. Let m(s) be the second derivative of u*s**3 + 0*s**4 - 1/15*s**6 + 0 + 0*s**5 - s - 3/2*s**2. Find the first derivative of m(a) wrt a. -8*a**3 Let f(d) be the second derivative of -1/10*d**5 + 0*d**4 + 0*d**2 + 1/2*d**3 + 0 - d. What is the second derivative of f(p) wrt p? -12*p Differentiate -9 + 30*z**3 + 8 + 12 + 14 with respect to z. 90*z**2 Let d(p) = 6*p**3 + 2*p**2 + 4*p + 2. Let u(v) = 7*v**3 + 3*v**2 + 3*v + 3. Let k(m) = 3*d(m) - 2*u(m). Find the second derivative of k(q) wrt q. 24*q Let w be (6/4)/((-1)/(-2)). Let f(t) = -t**2 + 4*t. Let y be f(w). What is the second derivative of -y*g**5 - g - 3*g**5 + 4*g**5 wrt g? -40*g**3 Let x(f) be the second derivative of -1/3*f**4 + 0*f**2 + 0*f**3 + 0 - 1/20*f**5 + f. Find the third derivative of x(t) wrt t. -6 Let v(m) = -m**2 + m. Let d(x) = 3*x**2 - 17*x. Let h(a) = -d(a) - 4*v(a). What is the second derivative of h(q) wrt q? 2 Let o(y) be the first derivative of y**6/2 - 3*y**2 + 4. What is the second derivative of o(w) wrt w? 60*w**3 Let h(o) = -30*o**3 + 4*o**2 + 22*o. Let s(c) = -c**3 + c**2. Let n(m) = -h(m) + 4*s(m). Find the second derivative of n(v) wrt v. 156*v Let f be 50/12 - (-2)/(-12). Find the first derivative of 2 - 1 + 18*y**2 - 2*y**f - 18*y**2 wrt y. -8*y**3 Let z = -6 + 10. What is the derivative of z*u + u**2 + 0 - 4*u + 4 wrt u? 2*u Suppose 3*t = 4*t + 3*d + 13, -3*t - 4 = 2*d. What is the derivative of -6 - 3*q - 1 - t*q wrt q? -5 Let p(h) be the first derivative of 4*h**5/5 + 3*h**2 - 2. Find the second derivative of p(x) wrt x. 48*x**2 Suppose 5*g + 11 = 36. Suppose 0 = -5*v - 2 + 27. What is the second derivative of 0*r + 2*r - g*r**5 + 3*r**v wrt r? -40*r**3 Differentiate 4 + 3*t**3 - 4*t**3 + 0*t**3 with respect to t. -3*t**2 Let n(j) = -j**2 + 8*j - 7. Let y be n(7). Suppose 2*a + 2*u - 6*u - 14 = y, -5*a = u - 13. Differentiate r**3 - 6 + 6 - a with respect to r. 3*r**2 What is the third derivative of -2*g**2 - 5 + 10*g**3 - 42*g**3 + 1 - 17*g**3 wrt g? -294 Let l = -15 + 15. Let w(r) be the first derivative of 1/2*r**4 + l*r**3 + r + 0*r**2 + 1. What is the derivative of w(p) wrt p? 6*p**2 Suppose y = 2 + 1. Suppose -12 = -y*h + h. Find the third derivative of -t**4 - h - 2*t**2 + 6 wrt t. -24*t Find the third derivative of -10*t**2 + 5*t**2 + 2*t**2 + t**3 wrt t. 6 What is the second derivative of -9*x + 5*x + 22*x + 7*x**5 + 0*x wrt x? 140*x**3 Let h(v) = 83*v**3 + 4*v - 18. Let a(k) = -41*k**3 - 2*k + 9. Let j(q) = 7*a(q) + 3*h(q). Find the second derivative of j(b) wrt b. -228*b Let s = -9 + 12. Let u(l) be the second derivative of 0 - 1/3*l**3 - l**2 - s*l. What is the first derivative of u(v) wrt v? -2 Let d(x) = -7*x**2 - 8. Let a(q) = -20*q**2 - 24. Let p(v) = 2*a(v) - 7*d(v). Differentiate p(o) wrt o. 18*o What is the third derivative of 2*p**3 - 5*p**2 - 46*p - 5*p**3 + 46*p wrt p? -18 Let v(d) = -d**2 + d. Let h(g) = 12*g**2 - 7*g + 7. Let r(l) = -2*h(l) - 14*v(l). Find the first derivative of r(o) wrt o. -20*o Let w(b) = 4*b**2 + 5*b - 3. Let k(o) = 0*o - 1 + 3*o + 0 - 2*o. Let m(p) = 5*k(p) - w(p). What is the first derivative of m(l) wrt l? -8*l Let w(o) = 29*o**3 - 4*o**2 - 28*o + 4. Let i(u) = -30*u**3 + 5*u**2 + 29*u - 5. Let n(m) = -4*i(m) - 5*w(m). What is the second derivative of n(g) wrt g? -150*g Suppose -4*f + 11 = x, -f + 2*f = -4*x - 1. Let h(a) be the first derivative of 1 + a**2 + 0*a - 2/3*a**f. What is the second derivative of h(y) wrt y? -4 What is the derivative of -24 - 8*q**2 - 3 - 6 wrt q? -16*q Let i(k) = 6*k**3 + 3*k**2 - 6*k. Let g(d) = d**3 + d**2 + d. Let n(j) = -3*g(j) + i(j). Find the second derivative of n(l) wrt l. 18*l Differentiate -9*i**2 - 8*i**4 - 15 + 9*i**2 wrt i. -32*i**3 Let y(w) = w**3 + 3*w**2 - 2*w - 4. Let h be y(-3). What is the third derivative of 4*p**5 + 1 + h*p**2 - 3*p**5 - 1 wrt p? 60*p**2 Let g(r) be the second derivative of -r**6/120 - r**5/60 - r**3/3 - r. Let x(o) be the second derivative of g(o). Find the second derivative of x(u) wrt u. -6 Let t(l) = 2*l**3 - 6*l**2 + 2*l - 6. Let s(y) = -y**2 - y - 1. Let p(k) = -6*s(k) + t(k). What is the second derivative of p(g) wrt g? 12*g Differentiate -2 - 300*h + 310*h + 1 with respect to h. 10 Suppose -s - s = -2. Let f = 3 + s. What is the first derivative of -4*v + 3*v**2 + f*v + 1 wrt v? 6*v Let a(g) = 12*g + 12. Let
{ "pile_set_name": "DM Mathematics" }
**4 + 20200*q**3 + 33989856*q**2 + 19034265472*q - 38204652032 = 0 for q. -1684, 2 Determine d, given that -2*d**3 - 13716*d**2 - 82242*d - 123336 = 0. -6852, -3 Factor -3*q**2/8 - 213*q/2 - 7560. -3*(q + 140)*(q + 144)/8 Determine v so that -5*v**5 + 5565*v**4 - 1345200*v**3 - 116613500*v**2 = 0. -67, 0, 590 Let 3*a**5 + 27*a**4 + 6*a**3 - 372*a**2 - 936*a - 672 = 0. What is a? -7, -2, 4 Suppose 5*d**4 - 160*d**3 - 1770*d**2 - 3200*d + 5125 = 0. Calculate d. -5, 1, 41 Factor -4*h**2 - 5768*h + 273792. -4*(h - 46)*(h + 1488) Factor -g**5/2 + 53*g**4 - 2913*g**3/2 + 2756*g**2 - 1352*g. -g*(g - 52)**2*(g - 1)**2/2 Determine a, given that -2*a**4/11 + 216*a**3/11 + 286*a**2 = 0. -13, 0, 121 Factor 2*h**2 + 424*h - 4906. 2*(h - 11)*(h + 223) Solve 5*n**2 - 4550540*n + 1035370714580 = 0 for n. 455054 Suppose 66*s**2 - 9531*s + 3888 = 0. Calculate s. 9/22, 144 What is a in a**3/2 + 102*a**2 + 1773*a/2 + 1755 = 0? -195, -6, -3 Solve -4*l**4/3 - 20710*l**3 - 962020*l**2/3 + 175870*l + 496544/3 = 0. -15517, -16, -1/2, 1 What is q in -120*q**4 - 76865*q**3 - 12329590*q**2 - 6649600*q + 1024000 = 0? -320, -2/3, 1/8 Let -2*w**4/3 - 473*w**3 + 710*w**2/3 = 0. Calculate w. -710, 0, 1/2 Factor 6*t**4/7 - 1038*t**3/7 + 50880*t**2/7 - 499200*t/7. 6*t*(t - 80)**2*(t - 13)/7 Find i such that -2*i**2 + 1230*i - 4888 = 0. 4, 611 Solve -2*h**2/3 - 4156*h - 6477126 = 0 for h. -3117 Factor -j**3/4 + 612477*j**2/4 - 23445581280*j + 23445428161. -(j - 306238)**2*(j - 1)/4 Find r, given that -5*r**5 + 69885*r**4 - 244230595*r**3 + 244090835*r**2 + 244230600*r - 244160720 = 0. -1, 1, 6988 What is i in -i**5 + 17*i**4 - 27*i**3 - 53*i**2 + 124*i - 60 = 0? -2, 1, 2, 15 Solve -2*g**4/9 + 77024*g**3/3 - 741612746*g**2 + 13348105156*g/9 = 0. 0, 2, 57767 Suppose 293*v**2 - 59769*v/4 - 153/4 = 0. Calculate v. -3/1172, 51 Determine q, given that -q**5/4 - 75*q**4/4 + 1725*q**3/4 - 5725*q**2/4 + 234*q + 2115 = 0. -94, -1, 2, 3, 15 Factor u**3/10 + 1163*u**2/10 + 1741*u/5 + 232. (u + 1)*(u + 2)*(u + 1160)/10 Suppose -n**3/9 + 728*n**2/3 - 2908*n/3 + 8720/9 = 0. Calculate n. 2, 2180 Factor 2*u**2/7 - 4572*u/7 + 2612898/7. 2*(u - 1143)**2/7 Factor a**3/9 + 5200*a**2/3 - 15609*a. a*(a - 9)*(a + 15609)/9 Let 3*d**2/5 - 1446*d/5 - 66024/5 = 0. Calculate d. -42, 524 Find m such that m**3 + 2736*m**2 - 21936*m + 43904 = 0. -2744, 4 Find u, given that -28*u**5 - 64*u**4 + 684*u**3 + 256*u**2 - 656*u - 192 = 0. -6, -1, -2/7, 1, 4 Find j such that -j**4/2 + 365*j**3 + 3*j**2/2 - 1094*j - 730 = 0. -1, 2, 730 Factor 33*g**2/4 - 1359*g + 984. 3*(g - 164)*(11*g - 8)/4 Let 2*o**5/15 + 2*o**4 - 44*o**3/15 - 204*o**2/5 + 54*o + 90 = 0. What is o? -15, -5, -1, 3 Suppose q**2 - 186*q + 3173 = 0. Calculate q. 19, 167 Determine p so that 5*p**3 - 350*p**2 - 2665*p - 2310 = 0. -6, -1, 77 Factor 5*x**2 + 41160*x - 41165. 5*(x - 1)*(x + 8233) Factor -13343643*y**2/5 - 999666*y/5 - 18723/5. -3*(2109*y + 79)**2/5 Let -3*n**5 + 25128*n**4 + 75408*n**3 + 25146*n**2 - 75405*n - 50274 = 0. Calculate n. -2, -1, 1, 8379 What is i in -i**3 + 47214*i**2 - 188844*i + 188840 = 0? 2, 47210 Factor -70*y**2/17 - 1068826*y/17 + 61076/17. -2*(y + 15269)*(35*y - 2)/17 Find u, given that -441*u**5 + 27426*u**4 - 238501*u**3 + 251072*u**2 - 41428*u + 1872 = 0. 2/21, 1, 9, 52 Suppose 2*v**2/15 + 22368*v/5 = 0. Calculate v. -33552, 0 Let 2*y**5/17 + 14*y**4/17 - 190*y**3/17 - 430*y**2/17 + 188*y/17 + 416/17 = 0. Calculate y. -13, -2, -1, 1, 8 Suppose -c**3/2 - 8*c**2 + 387*c/2 - 495 = 0. What is c? -30, 3, 11 Factor -3*d**2/5 + 2316*d/5. -3*d*(d - 772)/5 Suppose -2*o**5/5 + 2342*o**4/5 + 9406*o**3/5 - 1406*o**2 - 23516*o/5 + 3760 = 0. Calculate o. -4, -2, 1, 1175 Find n such that 2*n**5/9 + 118*n**4/9 + 1280*n**3/9 - 1880*n**2/9 - 5152*n/9 + 5632/9 = 0. -44, -16, -2, 1, 2 Factor 3*h**2/7 + 2208*h/7 - 4500. 3*(h - 14)*(h + 750)/7 Find l such that 20*l**3 + 1565*l**2 - 4875*l = 0. -325/4, 0, 3 Suppose 5*k**3 - 1495*k**2 + 7230*k + 35280 = 0. What is k? -3, 8, 294 Solve 3*q**4/5 + 2127*q**3 + 9483411*q**2/5 + 20551977*q - 243538542/5 = 0. -1767, -13, 2 Factor 3*u**2 + 23004*u + 23001. 3*(u + 1)*(u + 7667) Factor 469935684*x**2 + 86712*x + 4. 4*(10839*x + 1)**2 Factor d**4 - 172*d**3 + 5843*d**2 + 138556*d + 132540. (d - 94)**2*(d + 1)*(d + 15) Let z**4 + 33751*z**3 + 101247*z**2 + 101245*z + 33748 = 0. Calculate z. -33748, -1 Let -16*x**4 + 120788*x**3 - 228642660*x**2 + 2557296652*x - 625035884 = 0. Calculate x. 1/4, 11, 3769 Suppose 3*g**5 + 10896*g**4 + 43530*g**3 - 21804*g**2 - 130581*g + 97956 = 0. What is g? -3628, -3, 1 Factor -m**3/2 - 57*m**2/2 + 6729*m/2 + 6785/2. -(m - 59)*(m + 1)*(m + 115)/2 Let 5*c**4 - 1565*c**3 + 108155*c**2 + 109725*c = 0. What is c? -1, 0, 105, 209 Solve 2*r**3/3 + 754*r**2/3 - 2*r/3 - 754/3 = 0 for r. -377, -1, 1 Factor -a**2/4 + 193*a/4 - 48. -(a - 192)*(a - 1)/4 Factor -j**2/4 - 295*j/2 + 296. -(j - 2)*(j + 592)/4 Suppose 2*c**4/3 + 166*c**3/3 + 1162*c**2/3 - 2830*c/3 + 500 = 0. Calculate c. -75, -10, 1 Solve i**2/4 - 227*i/4 - 137475/2 = 0 for i. -423, 650 Find t, given that -9659*t**3 - 19321*t**2/2 - 3*t/2 = 0. -1, -3/19318, 0 Factor -2*a**2 - 6220*a + 12448. -2*(a - 2)*(a + 3112) Factor t**2/5 - 3521*t - 52824/5. (t - 17608)*(t + 3)/5 What is r in -3*r**3 - 1146*r**2 - 13281*r + 14430 = 0? -370, -13, 1 Factor 3*q**2/2 - 34365*q/2 - 68754. 3*(q - 11459)*(q + 4)/2 Solve 22770075*h**3 + 5510*h**2 + h/3 = 0. -1/8265, 0 Factor 5*h**4 - 326195*h**3 + 5320321995*h**2 - 5319995805*h. 5*h*(h - 32619)**2*(h - 1) Find t, given that -3*t**5 - 18*t**4 + 63*t**3 + 222*t**2 - 504*t = 0. -7, -4, 0, 2, 3 What is z in 4*z**3 + 1404*z**2 + 6944*z + 8304 = 0? -346, -3, -2 Factor -m**2/6 - 23387*m/2 + 140330/3. -(m - 4)*(m + 70165)/6 Solve -x**2/11 - 2361*x/11 = 0. -2361, 0 Factor k**2 - 6266*k. k*(k - 6266) Solve 4*q**3 - 5956*q**2 - 23872*q - 23888 = 0. -2, 1493 Let -5*d**5 - 100*d**4 + 1950*d**3 - 6500*d**2 - 1945*d + 6600 = 0. What is d? -33, -1, 1, 5, 8 Factor -2*h**5/13 - 100*h**4/13 + 798*h**3/13. -2*h**3*(h - 7)*(h + 57)/13 Let 5*b**2 - 730*b + 21525 = 0. Calculate b. 41, 105 Solve 2*b**2 + 479168*b + 28700246528 = 0 for b. -119792 What is v in 28*v**2 + 12332*v - 271320 = 0? -3230/7, 21 Factor r**2 + 448245*r + 448244. (r + 1)*(r + 448244) Factor -4*o**5 + 5440*o**4 + 32736*o**3 + 65536*o**2 + 43712*o. -4*o*(o - 1366)*(o + 2)**3 Find p such that -4*p**2 - 7704*p + 15424 = 0. -1928, 2 Let 2*x**2/11 + 90986*x/11 = 0. What is x? -45493, 0 What is w in -267*w**2 + 3206*w - 24 = 0? 2/267, 12 Find s, given that 3*s**2/5 - 17949*s/5 - 7182 = 0. -2, 5985 Suppose 10*i**2/7 + 793794*i/7 + 317516/7 = 0. What is i? -79379, -2/5 Factor 3*f**2 + 1310262*f + 143065542387. 3*(f + 218377)**2 Factor -c**2 - 433722*c - 47028693321. -(c + 216861)**2 Let 4*a**4 - 1120144*a**3 + 78421281432*a**2 - 156839202448*a + 78419041156 = 0. Calculate a. 1, 140017 Determine d so that -4*d**4/3 - 36*d**3 - 748*d**2/3 - 396*d - 544/3 = 0. -17, -8, -1 Find f, given that -2*f**3/7 - 448494*f**2/7 - 448492*f/7 = 0. -224246, -1, 0 Factor 3*c**3/7 - 507*c**2/7 + 25080*c/7 - 294576/7. 3*(c - 76)**2*(c - 17)/7 Suppose -4*q**2 - 270652*q - 270648 = 0. What is q? -67662, -1 Find f, given that f**5/3 + 8*f**4 - 36*f**3 - 670*f**2/3 + 521*f - 270 = 0. -27, -5, 1, 6 Factor -2*u**4/7 + 330*u**3/7 - 7566*u**2/7 + 46982*u/7. -2*u*(u - 139)*(u - 13)**2/7 Solve -2*y**2/11 - 5360*y/11 = 0. -2680, 0 Factor -a**2/2 - 875*a + 102999/2. -(a - 57)*(a + 1807)/2 What is d in -8*d**4 - 1580*d**3 + 86332*d**2 + 43560*d = 0? -242, -1/2, 0, 45 What is f in f**5/6 - 1927*f**4/6 - 5803*f**3/6 + 25075*f**2/6 + 4825*f = 0? -5, -1, 0, 3, 1930 Factor -2*z**3/5 - 198*z**2/5 - 4926*z/5 - 946. -2*(z + 1)*(z + 43)*(z + 55)/5 Factor 4*y**2/7 + 25128*y/7 + 39463524/7. 4*(y + 3141)**2/7 Factor f**3/2 - 115*f**2 + 4276*f - 8096. (f - 184)*(f - 44)*(f - 2)/2 Solve -2*w**2 - 198*w - 4816 = 0 for w. -56, -43 Find q such that q**3/3 + 192857*q**2/3 - 64286*q = 0. -192858, 0, 1 Solve 4*s**4/5 - 24*s**3/5 - 496*s**2/5 + 3096*s/5 + 3564/5 = 0 for s. -11, -1, 9 Let 2*j**3/3 + 6970*j**2/3 - 55906*j/3 - 20958 = 0. What is j? -3493, -1, 9 Let -i**2/3 - 21196*i/3 - 112317604/3 = 0. Calculate i. -10598 Determine y so that -9*y**5/8 - 627*y**4/4 - 3795*y**3/4 - 285*y**2/2 + 7599*y/8 +
{ "pile_set_name": "DM Mathematics" }
81 - b. What is the remainder when a is divided by p? 14 Let p(t) = 2*t**3 + t**2 - t. Let q be p(1). Suppose 1 = -3*i - q. What is the remainder when 54 is divided by i/(-2*3/84)? 12 Let w = 13 + -3. Let b(a) = a**2 + a. Let u(y) = -y**2 + 12*y + 15. Let j be u(13). Calculate the remainder when w is divided by b(j). 4 Let d(n) = n**2 - 2*n - 6. Calculate the remainder when 1/((-72)/(-70) + -2 + 1) is divided by d(6). 17 Let l(p) = 2*p + 3. Let s = -18 + 29. Let t = s + -7. What is the remainder when 32 is divided by l(t)? 10 Let r(u) = -u**2 + 5*u - 1. Suppose -p - 3*f + 8*f + 11 = 0, 0 = p + 3*f - 3. Calculate the remainder when p is divided by r(3). 1 Let d(i) = i. Let x(n) = -3*n + 1. Let j(y) = 11*d(y) + 4*x(y). What is the remainder when 27 - (0 + (1 - 0)) is divided by j(-5)? 8 Let w = 4 - 1. Suppose 0 = 5*z - 0*z - 5, w*p - 2*z = 109. What is the remainder when p is divided by 10? 7 Suppose -4 = -8*w + 4*w. What is the remainder when 65 is divided by (3 - w)*(-44)/(-4)? 21 Let q be (5/(-5))/(1/(-2)). What is the remainder when (32 - 1) + q*-1 is divided by 15? 14 Let x = -1 - -9. Suppose -x - 12 = -2*t. Calculate the remainder when (-1)/(-2) - 171/(-6) is divided by t. 9 Let h(p) = p**2 + p**2 - 2 - 2*p**2 - 3*p + 2*p**2. What is the remainder when h(-2) is divided by 5? 2 Suppose -d + 5*i + 66 = 0, 5*d = -3*i - 2*i + 210. Suppose -4*v = -2*v - d. Calculate the remainder when v is divided by 8. 7 Suppose 5*u = -4*q + 8, 4*u - 32 = -u + 4*q. Calculate the remainder when 8 is divided by ((-6)/u)/((-3)/6). 2 Suppose -2*u + 28 = 2*u. Suppose -3*q + 9 = 3*x, -5*q + 5 = -8*x + 3*x. What is the remainder when q*-1 - (4 + -25) is divided by u? 5 Suppose o + 0*o = 30. Let h = o - 16. Calculate the remainder when 39 is divided by h. 11 Let l(v) be the second derivative of v**4/12 + v**3/3 - v**2/2 - 9*v. What is the remainder when 6 is divided by l(-3)? 0 Let h(v) = -v**2 - 7*v - 9. Suppose 3*u = u - 16. Let q be h(u). Let g = -1 - q. Calculate the remainder when g is divided by 6. 4 Calculate the remainder when 61 is divided by ((-4)/(-10))/((5/100)/1). 5 Let d be -9*(2/1)/(-2). Let a = d - -13. Suppose -2*p = -0*p - 24. What is the remainder when a is divided by p? 10 Let g(s) = s**3 - 12*s**2 - 3*s - 13. Let l be g(12). Let c = -19 - l. Calculate the remainder when c is divided by 8. 6 Let s = 29 - 4. Calculate the remainder when s is divided by 9. 7 Let u(m) = 2*m**3 - 4*m**2 + 5*m - 4. Calculate the remainder when u(4) is divided by 9. 8 Let x(m) = m**2 - 3*m - 7. Calculate the remainder when -3 - -1 - (-47 + 2) is divided by x(6). 10 Let n = -10 + 19. Calculate the remainder when 35 is divided by n. 8 Let b(m) = 6*m - 5. Let g be b(6). Suppose 5*x = -5*i + 2*i + g, -8 = -4*x. Let h = -8 + 12. Calculate the remainder when i is divided by h. 3 Let h(j) = -j**3 + 7*j**2 + 10*j + 1. Let g be (-12)/2*8/(-6). Calculate the remainder when 32 is divided by h(g). 15 Let a = -22 - -32. Let b = 36 + -8. What is the remainder when b is divided by a? 8 Suppose -4 = c, -h + 3*h = 5*c + 46. Suppose 3*j - j - 96 = -4*p, 3*p = -3*j + 72. Calculate the remainder when p is divided by h. 11 Suppose r = 4*r - 4*c + 21, -r - 5*c + 12 = 0. Let k(z) = 4 - 14*z - 3 + 5 - 2. What is the remainder when k(r) is divided by 16? 14 Suppose -k - 48 = -4*k. Let y = k - 7. Calculate the remainder when (-696)/(-27) + 4/18 is divided by y. 8 Suppose -k = 4*v + 11, k + 4 - 5 = -v. What is the remainder when 19 is divided by k? 4 Suppose -2*o + 3*o + 2 = 0. Suppose -6*t + 177 = -t + 4*n, 4*n + 119 = 3*t. Calculate the remainder when t is divided by (3 + o)/((-1)/(-13)). 11 Suppose 2*g + 3*m - 4 = 0, g + 3*m = -0*g + 2. Suppose -g*h = 5*f + 2*h + 2, 0 = 5*f - 4*h + 18. What is the remainder when (16/f)/((-2)/4) is divided by 9? 7 Suppose -u = -5*c + 18, c + 2 = -3*u - 4. What is the remainder when ((-8)/24)/(2/(-30)) is divided by c? 2 Let d(t) = 15 + 2*t - 12 + t. What is the remainder when 43 is divided by d(4)? 13 Let g = 10 + -9. What is the remainder when 22 is divided by g/3*(3 - -21)? 6 Let n(t) = -t**2 + 8*t. Let o be n(8). Let x = o + 3. What is the remainder when x is divided by 3? 0 Suppose 0 = 2*y + 2*c - 212, -4*y + 5*c + 324 = -64. Calculate the remainder when y is divided by 26. 24 Let z(r) = -r**2 - 11*r + 5. Let b be z(-11). Suppose 0 = -3*u - 2*q + 42, 7*q = -b*u + 4*q + 69. What is the remainder when 35 is divided by u? 11 Suppose -2*y + 7*y = -5. Let j be (5 - (1 - -1)) + -1. What is the remainder when y + j - (-17 + -5) is divided by 12? 11 Let t(g) = -17*g - 26. Calculate the remainder when t(-17) is divided by 24. 23 Let z(p) = 10*p + 5. Suppose 3*y = 2*y + 4. Calculate the remainder when z(y) is divided by 12. 9 Suppose 3*i - 15 = -0*i. Suppose i*l = -0 + 5. Suppose 0 = -3*v + 16 - l. Calculate the remainder when 14 is divided by v. 4 Let z = -6 + 5. Let p = 6 + z. What is the remainder when 9 is divided by p? 4 Calculate the remainder when 15 is divided by 3 - 3/2*-4. 6 Let q = 6 + -3. Let s = q - -2. Suppose -5*h - l + 53 = 0, h - s*h + 46 = -l. Calculate the remainder when h is divided by 4. 3 Suppose -i + 0*i = 0. Let f(u) = i*u + 2 - 2*u - 1 - 3. Calculate the remainder when 28 is divided by f(-6). 8 Suppose -4*o + 20 = 8. Let w = -6 + 8. Suppose 0 = w*v - o*v + 10. Calculate the remainder when 19 is divided by v. 9 Suppose 11*x = 14*x - 189. What is the remainder when x is divided by 16? 15 Let i be (414/21)/((-3)/21). What is the remainder when (-5)/(-10) - i/4 is divided by 9? 8 Let m(l) = -l**2 + 23*l - 9. Calculate the remainder when m(14) is divided by 17. 15 Let p = -16 + 6. Suppose 3*j + 3*t = -180, 0 = -0*j + 2*j - t + 120. Calculate the remainder when j*1/p*4 is divided by 13. 11 Let y(w) = -2*w**3 - 2*w**2 - w + 1. Let m be y(5). What is the remainder when (-6)/(-21) + m/(-14) is divided by 12? 10 Let c(i) be the first derivative of 3*i + 2/3*i**3 - 2*i**2 - 3. Calculate the remainder when 5 is divided by c(2). 2 Calculate the remainder when (-5)/10*-3*106/3 is divided by 27. 26 Suppose 2*m + o - 21 = 0, 20 - 62 = -3*m - 5*o. Suppose m*u = 6*u + 84. Calculate the remainder when u is divided by 15. 13 Let n(y) = -y**3 + 4*y**2 + 5*y + 2. Let t be n(4). What is the remainder when ((-11)/t)/((-2)/132) is divided by 9? 6 Suppose -7*m + 80 = -88. Calculate the remainder when 46 is divided by m. 22 Let x = 71 + -68. Calculate the remainder when x is divided by (12/(-2))/(8/(-4)). 0 Let n(t) = -t**2 - 9*t - 10. Let z be n(-7). Suppose -4*a = -3*b + 45, 25 = 2*b + z*a - 5. What is the remainder when b is divided by 8? 7 Suppose -5*t = -0*v - 4*v - 66, t = -3*v - 2. What is the remainder when 37 is divided by t? 7 Let f = -2 - -2. Suppose 0 = d - o - 24, f*d = 5*d + 5*o - 80. Calculate the remainder when 1 + -2 - d/(-2) is divided by 5. 4 Let m = 29 - 28. Calculate the remainder when (6/4*-2)/(-1) is divided by m. 0 Let y(u) = -u**3 + 10*u**2 - 9*u + 5. Let h be (4/(-14))/(1/(-7)). Suppose 3*l = -5*d + 37, l - 1 = 2*d + h*d. What is the remainder when y(l) is divided by 3? 2 Let h(l) be the first derivative of l**3 - 2*l**2 - 4. Calculate the remainder when h(-4) is divided by 22. 20 Let b = 7 + 3. What is the remainder when 26 is divided by b? 6 Let z be (-2)/(-5) + 1036/10. Suppose 5*d + 2*g = z, -3*d - 2*g + 5*g = -54. What is the remainder when d is divided by 11? 9 Let g be 1/(2 + 3/(-2)). Suppose -g = 2*y - 2*q - 60, y - 41 = -5*q. Let z = -63 - -71. Calculate the remainder when y is divided by z. 7 Suppose 4*o - 36 = 56. What is the remainder when 229 is divided by o? 22 Let f = -144 + 216. Calculate the remainder when f is divided by 25. 22 Suppose 4*r - 14 = 14. Calculate the remainder when r is divided by 3. 1 Let c = 8 + -2. Let y(b) = b**2 - 4*b - 4. What is the remainder when (5 + (-84)/18)/((-3)/(-126)) is divided by y(c)? 6 Suppose -12 = -3*x + q - 3*q, -5*x - 2*q = -24. Calculate the remainder when 11 is divided by x. 5 Suppose -4*x - 4*f + 1008 = 0, 5*f = -2*x - 0*f + 504. Suppose x = -0*m + 4*m. What is the remainder when m is divided by 16? 15 Let f(l) = -7*l - l - 3*l. Let b be f(-1). Suppose m = -0*m + b. What is the remainder when 21 is divided by m? 10 What is the remainder when 118 is divided by (-17 - 1)*4/(-3)? 22 S
{ "pile_set_name": "DM Mathematics" }
*v(b) + 4*w(b). Factor j(h). 4*(h - 2)**4 Factor 18/17*t + 40/17 + 2/17*t**2. 2*(t + 4)*(t + 5)/17 Find p such that -37*p**2 + 4*p**5 + 10*p**4 - p**4 + 5*p**2 - p**4 - 16*p**3 = 0. -2, 0, 2 Let d = -10 - -12. Suppose 4*v = 5*w, 3*v + 5 - 12 = d*w. Solve -2*b**5 + b**5 + 8*b**2 - 8*b**w + 6*b**5 + 4*b - 9*b**3 = 0 for b. -1, -2/5, 0, 1, 2 Factor -353*i**2 - 20 + 374*i**2 + 6*i**3 + 26 + 21*i. 3*(i + 1)*(i + 2)*(2*i + 1) Suppose 1 = -v + 6*p - 3*p, -3*v + 1 = -5*p. Factor u**v + 2574 - 2574 - 3*u + u. u*(u - 2) Factor -5 - 60*b**2 + 117*b**2 + 115*b + 5 + 93*b**2 + 35*b**3. 5*b*(b + 1)*(7*b + 23) Let n = -29/40 + 17/8. Factor -2/5*c**3 - 7/5*c**4 + 2/5*c + n*c**2 + 0. -c*(c - 1)*(c + 1)*(7*c + 2)/5 Let p be (-320)/96*(-6)/4. Let a(j) be the third derivative of 0*j**4 + 0*j + 1/20*j**p + 0 + 0*j**3 - 3*j**2. Let a(w) = 0. Calculate w. 0 Let l(z) be the third derivative of z**7/2520 - z**6/180 + z**5/40 - z**3/6 + 8*z**2. Let x(g) be the first derivative of l(g). Factor x(j). j*(j - 3)**2/3 Let r(n) = 6*n**2 - 19*n - 3. Let p be r(3). Let g be -2 - (p/27 - 2). Factor 0 - 8/9*q**2 + g*q**3 + 2/3*q. 2*q*(q - 3)*(q - 1)/9 Let p(t) = 2*t**4 + 5*t**3 - 8*t**2 + t. Let q(o) = o**3 - 2*o**2 + o. Let f(n) = -2*p(n) + 6*q(n). Solve f(k) = 0. -1, 0, 1 Let i(o) be the first derivative of -2*o**3/7 + 34*o**2/7 + 48*o/7 - 14. Suppose i(v) = 0. What is v? -2/3, 12 Solve 5/6*f**4 + 0 - 5/2*f**3 + 0*f**2 + 10/3*f = 0. -1, 0, 2 Factor 2/13*y**2 + 6/13*y**4 + 6/13*y**3 + 0 + 0*y + 2/13*y**5. 2*y**2*(y + 1)**3/13 Let f(b) be the second derivative of -b**4/15 + 2*b**2/5 + 98*b. Factor f(z). -4*(z - 1)*(z + 1)/5 Let q(j) be the first derivative of -4*j**3/21 - 48*j**2 - 668*j/7 + 392. Solve q(p) = 0. -167, -1 Let w be (11 + -11)*(5 - 9)/(-4). Let b(r) be the first derivative of 2 + 3/2*r**4 + 0*r**3 - 1/2*r**6 + w*r + 3/5*r**5 + 0*r**2. Factor b(a). -3*a**3*(a - 2)*(a + 1) Let s(q) be the second derivative of q**7/21 - 3*q**5/10 + q**4/3 - 197*q. Factor s(j). 2*j**2*(j - 1)**2*(j + 2) Let r = -8198 + 16397/2. Factor 0*j - r*j**2 + 3*j**3 + 0 + 2*j**5 - 9/2*j**4. j**2*(j - 1)**2*(4*j - 1)/2 Let f be 0 + -7 - 203*7/(-196). Determine m so that 1/4*m**3 + 0*m + 0 + 1/4*m**4 - f*m**5 - 1/4*m**2 = 0. -1, 0, 1 Let r(q) be the third derivative of q**6/360 - 7*q**5/180 - q**4/72 + 7*q**3/18 + 46*q**2. What is u in r(u) = 0? -1, 1, 7 Let i(f) be the third derivative of 1/6*f**4 + 13*f**2 + 0*f + 0 - 1/2*f**3 - 1/60*f**5. Solve i(b) = 0. 1, 3 Let y(c) be the first derivative of 4*c**3/3 - 36*c - 40. Factor y(t). 4*(t - 3)*(t + 3) Let k = 10625 - 116873/11. Solve 0 + 18/11*h + k*h**2 = 0. -9, 0 Let x(g) = g**2 + 6*g - 21. Let f be x(-9). Determine t so that 1 - 2 - 2*t**3 + 2*t**4 - f*t**2 + 2*t - 3 + 8*t = 0. -2, 1 Solve 2*r + 8*r**2 + 12 + r - 48 - 15*r = 0 for r. -3/2, 3 Let c(j) be the third derivative of 3*j**8/112 + 2*j**7/35 - j**6/8 - j**5/10 - 2*j**2 - 35*j. What is r in c(r) = 0? -2, -1/3, 0, 1 Let c(z) = 73*z**3 + z**2 + 4*z - 5. Let h be c(1). Let q = h + -71. Determine u, given that 4/3*u**5 - 2/3*u - u**q + 0 + 16/3*u**3 - 5*u**4 = 0. -1/4, 0, 1, 2 Suppose 36*a = 78*a - 84. Let j(k) be the second derivative of -1/45*k**4 - 4/45*k**3 - 1/15*k**a + 1/75*k**6 + 0 + 2/75*k**5 + 12*k. Find s such that j(s) = 0. -1, -1/3, 1 Let c be (-4)/70*(31/(-24) + 1). Let x(i) be the second derivative of 0*i**2 + 0*i**3 - 2*i + 0 + 1/20*i**5 + c*i**6 + 1/24*i**4. Solve x(z) = 0. -1, 0 Factor 12*v + 4*v**3 + 12 - 19 + 3 - 12*v**2. 4*(v - 1)**3 Let x(q) = q**4 + q**3 - q. Suppose 3 - 1 = o. Let r(s) = 2*s**5 - 8*s**4 - 14*s**3 - 8*s**2 + 14*s. Let k = 42 + -14. Let f(l) = k*x(l) + o*r(l). Factor f(z). 4*z**2*(z - 1)*(z + 2)**2 Let g = -37 + 82. Let f be (80/g)/(-8) - (-28)/45. Solve 2/5*p**3 + f - 2/5*p**2 - 2/5*p = 0 for p. -1, 1 Let v(x) be the second derivative of 0 + 11*x - 3/8*x**4 + 3/2*x**2 - 5/4*x**3. Factor v(j). -3*(j + 2)*(3*j - 1)/2 Let p(l) be the first derivative of -5/48*l**4 - 1/3*l**3 - 1/80*l**5 - l + 5 - 1/2*l**2. Let i(o) be the first derivative of p(o). Factor i(t). -(t + 1)*(t + 2)**2/4 Let b = 860/1287 - 2/1287. Factor b + 2/21*l**2 + 16/21*l. 2*(l + 1)*(l + 7)/21 Let v(q) be the second derivative of -q**7/63 + q**5/10 - q**4/9 + 2*q + 2. Suppose v(i) = 0. Calculate i. -2, 0, 1 Let s(w) = -w**2 - 8*w - 9. Let u be 7/21 + (-77)/(-3). Let i = 24 - u. Let f(o) = 2*o + 2. Let t(y) = i*s(y) - 9*f(y). Factor t(m). 2*m*(m - 1) Let m(p) be the first derivative of p**3 - 114*p**2 + 4332*p + 186. Factor m(l). 3*(l - 38)**2 Let -f**3 - 18*f - 3*f**2 + 4*f**3 - 42*f - 2*f**2 + 2*f**2 = 0. What is f? -4, 0, 5 Let l(b) be the third derivative of b**6/540 + 11*b**5/135 + 35*b**4/27 + 200*b**3/27 + b**2 + 125. Let l(x) = 0. Calculate x. -10, -2 Factor -30*i - 8*i**3 - 15*i**3 + 12*i**3 - 16*i**3 - 63*i**2 - 78*i**2. -3*i*(i + 5)*(9*i + 2) Let u(d) be the second derivative of -d**7/525 + d**6/100 + 2*d**5/75 - 13*d**2 - 17*d. Let k(x) be the first derivative of u(x). Factor k(o). -2*o**2*(o - 4)*(o + 1)/5 Factor 0*r**3 - 3/8*r**4 + 9/8 + 9/4*r**2 + 3*r. -3*(r - 3)*(r + 1)**3/8 Solve -21*p**2 - 14 - 16*p**2 - 6 + 42*p**2 = 0 for p. -2, 2 Let h(a) = -a**5 - a**4 - a**3 + 1. Let i(y) = 8*y**4 + 8*y**3 + 4*y**2 + 4. Let j be (2 + (-6)/5)*-5. Let s(b) = j*h(b) + i(b). Factor s(z). 4*z**2*(z + 1)**3 Let w be (12/(-5))/(-3) + 560/4550. Determine d so that -16/13*d**3 - 6/13*d**4 + 2/13 + 0*d - w*d**2 = 0. -1, 1/3 Let s be 10*(-2)/(-4) + -1 + 2. Let l(j) be the first derivative of 0*j**2 - 4/3*j**s + 2/3*j**3 - 14/5*j**5 + 3 - j**4 + 0*j. Let l(k) = 0. Calculate k. -1, 0, 1/4 Let m(n) = 3*n - 13. Let a be m(6). Let k be 51/15 + (-2)/a. What is f in -4*f**3 + f**2 + f**2 + 3*f**k = 0? 0, 2 Let l(j) be the third derivative of j**7/1470 - j**6/70 + j**5/20 - 5*j**4/84 - 26*j**2. Factor l(u). u*(u - 10)*(u - 1)**2/7 Let h(q) be the second derivative of 0*q**3 + 2*q + 0 - 1/38*q**4 + 1/190*q**5 + 4/19*q**2. Factor h(k). 2*(k - 2)**2*(k + 1)/19 Let y(v) be the third derivative of v**5/12 - 5*v**4/24 - 5*v**3/3 - 19*v**2 + 4*v. Factor y(w). 5*(w - 2)*(w + 1) Let k(q) be the first derivative of 35/3*q**3 + 1 - 80*q + 20*q**2 + 5/4*q**4. Factor k(y). 5*(y - 1)*(y + 4)**2 Factor 0*f**2 + 6*f**2 - 18*f**2 + 2*f**2 - 16*f + 2*f**3 + 24. 2*(f - 6)*(f - 1)*(f + 2) What is x in -48/5 - 532*x**2 - 2024/5*x**4 - 242/5*x**5 - 3858/5*x**3 - 632/5*x = 0? -6, -1, -2/11 Let k be 624/273 - (-6)/(3 + -6). Determine c so that -4/7*c**3 - k*c**4 + 0*c + 6/7*c**2 + 0 = 0. -3, 0, 1 Let w(i) be the first derivative of i**4 - 2/5*i**5 - 2/3*i**3 + 0*i**2 - 6 + 0*i. Determine u so that w(u) = 0. 0, 1 Let z(i) = -i**2 - 6*i - 2. Let p be z(-5). Let j(d) be the first derivative of 2/15*d**p + 1/5*d**2 - 1/10*d**4 - 2/5*d + 6. Solve j(o) = 0. -1, 1 Let l(g) be the first derivative of -g**3/5 + 63*g**2/10 + 66*g/5 - 70. Factor l(a). -3*(a - 22)*(a + 1)/5 Let w(f) be the third derivative of -5*f**8/336 - 89*f**7/42 - 175*f**6/24 - 29*f**5/4 - 17*f**2 - 5. Factor w(s). -5*s**2*(s + 1)**2*(s + 87) Let x be ((-364)/(-98))/(-13) + (-34)/(-70). Factor 0 + 2/5*s - 1/5*s**2 - x*s**3. -s*(s - 1)*(s + 2)/5 Let o = 118/9 - 1177/90. Let a(v) be the first derivative of -5 + 0*v**2 + 0*v + 1/25*v**5 + o*v**6 - 1/20*v**4 - 1/15*v**3. Factor a(l). l**2*(l - 1)*(l + 1)**2/5 Let n(b) be the third derivative of 1/1620*b**6 - 8*b**2 + 0*b + 0 + 1/270*b**5 + 0*b**4 - 2/3*b**3. Let p(a) be the first derivative of n(a). Factor p(d). 2*d*(d + 2)/9 Let s(h) be the first derivative of 3*h**5 - 55*h**4/4 - 95*h**3/3 - 25*h**2/2 - 217. Let s(x) = 0. What is x? -1, -1/3, 0, 5 Let n(c) be the first derivative of c**6/2 + 12*c**5/5 + 3*c**4/4 - 10*c**3 - 6*c**2 + 24*c + 50. Find z, given that n(z) = 0. -2, 1 Let j(q) be the third derivative of -q**6/240 + 3*q**5/20 + q**4/48 - 3*q**3/2 + 2*q**2 + 76*q. Factor j(o). -(o - 18)*(o - 1)*(o + 1)/2 Factor -7/6*p**2 + 1/2*p**4 - 1/2*p**3 + p + 0 + 1/6*p**5. p*(p - 1)**2*(p + 2)*(p + 3)/6 Let r = 2 + -2. Suppose 25 - 3 = 2*j + s, 3*j + s - 32 = r. Factor 866 - 5*l**3 - 866 - j*l**4 - 5*l**5. -5*l**3*(l + 1)**2 Let p(t) = 2*t**2 - 6*t - 6. Let w(z) = -5*z**2 + 17*z + 17. Let c be (-1 + 35)*(-3 + (-35)/(-10)). Let x(s) = c*p(s) + 6*w(s). Suppose x(a) = 0. Calculate a. 0 Let b(t) be the first derivative of
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
3 Let s = -4 - -2. Let i(b) = b**3 - 5*b**2 - b + 9. Let z be i(5). Put -1, s, z in ascending order. s, -1, z Suppose 5*k - 2*s + 14 = -39, 20 = 5*s. Let i = -4 - k. Suppose -5*x + 26 = -5*y + 1, -4*y - 4*x = 4. Put y, i, 0 in increasing order. y, 0, i Suppose 2*x - 4 = 4*m - 0*m, 3*m = x - 1. Suppose -3*v = u + 12, 0 = 3*v + 2*u + 2*u + 12. Sort v, m, 2 in increasing order. v, m, 2 Let p(w) = 0 - 2*w + 0 - 6 - 2. Let d be p(-7). Let g(u) = u - 4. Let x be g(d). Put 5, x, -0.5 in descending order. 5, x, -0.5 Suppose 3*u + 14 - 5 = 0. Put -4, 0, -5, u in increasing order. -5, -4, u, 0 Let z = -39 - -44. Let m = -10 + 6. Sort 2, m, z in increasing order. m, 2, z Let a(j) = j**3 - 5*j**2 + 6*j - 6. Let s be a(4). Let q(l) = 2*l**3 + 4*l**2 - 2*l - 8. Let w be q(-2). Sort w, s, 4 in decreasing order. 4, s, w Let l = 6 - 5.5. Let b = 3503/4 + -881. Let c = b - -6. Sort l, c, 1 in increasing order. l, c, 1 Suppose -2*f + 100 = 102. Put -3, 1, f in increasing order. -3, f, 1 Suppose -16*u + 15 = -11*u. Let i(l) = 2*l + 3. Let h be i(-4). Sort -1, u, h. h, -1, u Let p = 7 - 6.4. Let k = p - -4.4. Suppose 0 = 2*g, -5*g + 14 = -3*x - 1. Sort k, x, 0 in descending order. k, 0, x Suppose 9 = -5*k - h - 3, 0 = -5*k - 2*h - 9. Put 4, k, 0 in descending order. 4, 0, k Let j = -0.536 - -0.036. Put 0.1, -3, j in increasing order. -3, j, 0.1 Let d be (-2)/6*117/(-65). Put d, 0.3, 0.7 in increasing order. 0.3, d, 0.7 Let z be -2*1/(-4)*-2. Sort -2, 5, z in descending order. 5, z, -2 Let b = -1.1 - -0.8. Let h be (-7)/(-2)*(3 + -1). Let v = -7 + h. Sort v, -3/4, b. -3/4, b, v Let c = 0.3 + -0.7. Put 1/2, -1, c in decreasing order. 1/2, c, -1 Let h(f) = f + 5. Let d be h(0). Suppose 4*p + 25 = 4*z - 5*z, p = 2*z + 5. Let b(j) = j - 5. Let n be b(6). Sort z, d, n in ascending order. z, n, d Let i = -7 + 11. Let g = 21 - 25. Put 0.2, i, g in decreasing order. i, 0.2, g Suppose 0 = 3*g - 5*f + 9*f - 6, -3*f + 4 = 2*g. Put g, 2/9, 0.3, -5 in descending order. g, 0.3, 2/9, -5 Let c = -3 + 3.1. Let a = c - 0.4. Let g = -2.99 - 0.01. Sort g, -2/9, a. g, a, -2/9 Let l be 16/8*(0 + 1). Let c = 5 - 7. Sort c, l, -5 in decreasing order. l, c, -5 Suppose 0*x + 2*s = -2*x - 2, 2*s + 12 = 3*x. Sort -2, -3, x in ascending order. -3, -2, x Let s(j) = -j - 15. Let f be s(-11). Suppose -3*d + 2*d = 0. Let o = d - 5. Sort f, o, 0 in increasing order. o, f, 0 Suppose d + b + 105 = 5*d, -2*d = -2*b - 48. Suppose 4*q - d = -0*u + 5*u, 3*u + 5*q - 6 = 0. Let l = -3 + 2. Sort u, l, -5 in increasing order. -5, u, l Let x = -6 + 4. Let v be -2 + (-3)/(x - -1). Let z = 0.6 - 0.5. Sort z, -0.4, v in increasing order. -0.4, z, v Let q(z) = z**2 - 5*z - 2. Let d be q(6). Suppose 9*j - d*c - 36 = 4*j, 0 = 4*j - 3*c - 29. Let k be j/(-12)*3/2. Put 4, k, 1 in descending order. 4, 1, k Let f = -46 + 367/8. Sort 0.3, f, -0.4, 0.4. -0.4, f, 0.3, 0.4 Let o = 3/116 + -253/812. Put 2/11, 1.6, o in decreasing order. 1.6, 2/11, o Let a be (-30)/10*4/(-3). Let h be ((-4)/(-16))/(1/a). Put h, 4, 3 in descending order. 4, 3, h Let o be 2/((-12)/15 - (-28)/10). Sort -3/2, o, -1/10 in ascending order. -3/2, -1/10, o Let r = 69.4 - 69. Sort -10, r, -4/3 in decreasing order. r, -4/3, -10 Let i = 9 + -6. Suppose -2*s + 3 = -i. Let w(o) = -o - 18. Let m be w(-18). Put s, m, -5 in descending order. s, m, -5 Let l be ((-7)/28)/((-1)/12). Sort l, -2, 0 in increasing order. -2, 0, l Suppose -t = -7 + 3. Let b be t - (-2)/4*-2. Sort 0, b, 4 in descending order. 4, b, 0 Let c = 0.74 + -0.24. Let s = -0.1 - -0.1. Sort s, 2, c in descending order. 2, c, s Let t be (8/(-10))/(1/5). Suppose 3*m - 5*v + 13 = -m, 3*m + 3*v - 24 = 0. Suppose -m*c - 15 = -0. Sort -3, c, t in increasing order. c, t, -3 Suppose -5*q + 58 - 3 = 0. Put -2, q, -4 in descending order. q, -2, -4 Suppose 0 = 2*a - 2*u + u - 5, 0 = 2*a + 3*u - 1. Sort -0.5, -5, a in ascending order. -5, -0.5, a Let s(p) = -p**3 + 6*p**2 - 6*p + 6. Let n be s(5). Suppose -i - n = -4. Suppose 0 = 3*g + i, 3*x + 2 + 2 = 5*g. Put 2, x, 2/9 in descending order. 2, 2/9, x Suppose 0*y - 5*y = 0. Suppose 5*u - 4*c - 7 = 0, -3*u + 2*c + 8 = -5*u. Sort 3, y, u. u, y, 3 Let w(o) = o**2 + 12*o - 3. Let b be w(-12). Let t = 64 - 61. Sort t, -0.2, b. b, -0.2, t Let y(j) = -j**3 - 6*j**2 - j - 4. Let l be y(-6). Let v = 3 + l. Sort -1, 0, v in increasing order. -1, 0, v Let o = 11 - 8. Let v be (1 + 0)*4/(-4). Suppose -n + 0 = -4. Sort n, o, v in descending order. n, o, v Let z be ((-7)/(-2) + -3)*6. Suppose z*v + 12 = 0, -2*a + v - 16 = 4*v. Put -5, 1, a in descending order. 1, a, -5 Let l = -166 - -1160/7. Let g = -3 + 0. Sort g, l, -2 in descending order. l, -2, g Let y = -10 + 5. Let a be (4 - 3)*4/5. Sort a, 3, y in ascending order. y, a, 3 Let s = 26 - 10. Put 3/8, 1/5, s in descending order. s, 3/8, 1/5 Let p be (-2 - (-1 + 0))*(-7 - -2). Sort -1, p, 5.9 in increasing order. -1, p, 5.9 Let b be (4 - (-160)/(-35))*-7. Let a(o) = -o**3 + 3*o**2 + o - 3. Let n be a(3). Put n, b, -4 in descending order. b, n, -4 Suppose 0 = 5*i - 13 - 2. Suppose -3*b + 32 = 4*x, -b + 1 = 3*x - 18. Suppose -q - b = -0*q. Put q, i, -3 in increasing order. q, -3, i Let k = -85 + 51. Let x = -101/3 - k. Sort 4, 4/7, x. x, 4/7, 4 Let m = 0.8 + -0.5. Let c = 0.7 - 2.7. Put m, 3, c in increasing order. c, m, 3 Suppose 18 = -6*h + 6. Sort 4, h, -1. h, -1, 4 Let j(b) = b - 9. Let s be j(9). Sort 5, s, -2, 8 in ascending order. -2, s, 5, 8 Let z be 1 + 44/(1 + -3). Let s = z + 21. Sort 13, s, -2 in ascending order. -2, s, 13 Let j = 0.58 - -0.8. Let t = j + -1.4. Sort t, 0.3, -3/8. -3/8, t, 0.3 Let f = -830 - -830.2. Let u = -0.7 + 3.7. Let p = u + -2.7. Sort f, 1/6, p in ascending order. 1/6, f, p Let l = 772/7 - 110. Put -1/7, l, 3 in descending order. 3, l, -1/7 Let g(d) be the first derivative of d**2/2 + 2*d - 2. Let p be g(-5). Sort 1/3, p, 0.3 in increasing order. p, 0.3, 1/3 Let z(x) be the third derivative of x**4/24 - x**3/6 - 2*x**2. Let q be z(5). Sort q, 1, -5. -5, 1, q Let u(f) = 2*f + 2. Suppose 1 = -3*l - 2. Let p be l + (-2)/(-2) - 2. Let m be u(p). Sort -1, m, -5. -5, m, -1 Let g = 200/2431 + -1/187. Let y be ((-2)/(-4) + 0)*92/(-78). Let c = y - g. Sort 4, c, 5 in decreasing order. 5, 4, c Suppose 0 = -v - 5*z + 20, 3*v + 5*z - 5 = 5. Let q be (-4)/2 + 44/4. Let j = q + -3. Sort v, j, 0 in descending order. j, 0, v Suppose 6*i = 7*i. Sort 5, -5, i in ascending order. -5, i, 5 Let l = -1 + 1. Let y = 245 + -242. Sort l, 4, y in increasing order. l, y, 4 Let f be 1 + 7/5 + -3. Put -0.2, f, 3, -5 in increasing order. -5, f, -0.2, 3 Suppose -3*p + 0*x = -2*x + 16, -5*p = -3*x + 27. Let s be (-1*18/(-4))/p. Sort -3/5, s, -1. -1, s, -3/5 Let d = -27 + 31. Put d, 0.5, 0.06 in increasing order. 0.06, 0.5, d Let z = -0.05 + 3.05. Let x = 0.331 + 0.059. Let h = x + 0.01. Put z, h, 2 in ascending order. h, 2, z Suppose -i + 105 = 2*i. Let y = -106/3 + i. Let c be (-7)/(-1) + 0 + -2. Put y, c, 3 in decreasing order. c, 3, y Let l = 163 - 1469/9. Suppose 5*w + 18 = 4*c, -6 = -2*c + w + 6. Suppose -3*b + c*b = -16. Sort b, l, 2 in decreasing order. 2, l, b Suppose -2*v + 6 + 4 = -f, 0 = v - 5. Suppose f = g - 0*g. Suppose -o = -5*h - 6*o, -3*o - 4 = 5*h. Sort -3, g, h. -3, h, g Let q be (-2)/8 + 150/120. Let z = -0.6 + 0.3. Sort q, -4, z in descending order. q, z, -4 Let k = 0.9 - -0.1. Let f = 34 + -36. Put k, f, 0.1 in decreasing order. k, 0.1, f Let p = 30 - 27. Put 1, -3, -4, p in increasing order. -4, -3, 1, p Suppose -l = -3*l + 32. Suppose -6 = 2*b - l. Suppose -5 = r + 2*a - 7*a, 0 = 5*r - 4*a + 4. Sort -3, r, b in ascending order. -3, r, b Let p = 73 - 69. Let g = -0.9 + 1. Put 0.2, p, g in decreasing order. p, 0.2, g Let k = -0.05 - -0.65. Let m = k - 0.8. Sort 0.5, m, 0 in descending order. 0.5, 0, m Let s(o) = -o**2 + 2. Let d be s(3). Let q be 0/(-1)*d/(-21). Sort q, 1, -5 in decreasing order. 1, q, -5 Let w = 0.33 + -0.23. Sort w, 11, 3/4. w, 3/4, 11 Let w = 3.9 - 5.9. Let h be (0 - (-2 + 2)) + 1. Sort w, -1/8, h. w, -1/8, h Let q = -99 + 100. Put -2/15, -99, q in increasing order. -99, -2/15, q Let v = -26.5 - -26. Let t = 2.8 - 3. Let l = t + 0. Put -4/5, l, v in descending order. l, v, -4/5 Let g = 0.16 + 2.84. Sort -2, 1, g in increasing order. -2, 1, g Suppose 0 = -2*x - 51 - 1
{ "pile_set_name": "DM Mathematics" }
Calculate the smallest common multiple of t and 27. 297 Let s = 44117/6 - 7347. Let a be (1*-91)/((-2)/4). Let r = a - 263/2. Calculate the common denominator of s and r. 6 Let t(n) = n + 6. Suppose 0 = 4*c - 4*z - 16, 0*z - 5*z = 0. Suppose -7*v + c*v = 0. Calculate the least common multiple of 10 and t(v). 30 Suppose -3*u + 31 = -5. Suppose 0 = -7*t + 4*t + u. Let s(a) = -a**2 - a + 6. What is the least common multiple of t and s(0)? 12 What is the smallest common multiple of 52 and 52*((-15)/80)/(8/(-96))? 468 Let m = -47425/2 + 22975. Let b = 715 + m. Let u = 52123/10 - 5218. What is the common denominator of b and u? 10 Let b = 455 - 9103/20. Find the common denominator of b and -33/140. 140 Suppose -5 - 10 = -5*d. Suppose 4*y - 5 = -d*t, 0 = 4*t - y - 12 - 1. Suppose -2*a + 15 = 3*a. Calculate the lowest common multiple of a and t. 3 Let b(j) = -j + 11. Let h(m) = -m - 3. Let k be h(2). Calculate the least common multiple of b(k) and 2. 16 What is the common denominator of (-1572)/396 - (-3 - (-1 - -2)) and -7/24? 264 Let m(r) = -r**2 + 33*r + 28. Let u be m(28). Calculate the common denominator of 119/18 and (-471)/u + (-3)/24. 126 Suppose -6*r = -159 - 435. Calculate the least common multiple of 198 and r. 198 Let u(t) = -5*t - 8. Let v be u(-6). Suppose -4*w + 3*w + v = 0. Let z(n) = -11*n**2 + 57*n - 6. Calculate the least common multiple of w and z(5). 44 Let d(b) = -b**2 + 6*b + 5. Let r be d(7). Let z be (-3 - -1)*-1 - r. Let g(j) = j**2 - 2*j + 3. Calculate the least common multiple of 11 and g(z). 11 Suppose -2*t - 12 = -2*h, 0*t = -2*h - 2*t. Suppose -o - 8 = h*o. Let p(s) = 2*s**2 + 2*s + 3. What is the smallest common multiple of 3 and p(o)? 21 Suppose -4*g + 77*v - 73*v + 252 = 0, -5*g = 5*v - 365. What is the lowest common multiple of 2 and g? 68 Let q = 3432695389/38 + -90328125. Let j = -5965 + q. What is the common denominator of 69/10 and j? 190 Let u = 47 - 47. Suppose -5*q - 16 = -2*p, -q - 2 = -u*q. What is the smallest common multiple of p and 7? 21 Let d(v) = v**3 - 5*v**2 - 18*v + 78. Calculate the least common multiple of 324 and d(8). 2268 Suppose -9*o = -10*o + 3*b + 224, 2*b = o - 228. Let w = 101 + -95. Calculate the least common multiple of o and w. 708 Let g = -2533/30 + 271/3. Let i = -490 - -3063. Let f = i - 20635/8. Calculate the common denominator of f and g. 40 Let t be 12/14*(-84)/(-18). Let p be (26/t)/(4/8). Suppose -r = -q + 19, 2*q + 5*r - 18 - p = 0. Calculate the lowest common multiple of 18 and q. 18 Suppose s + 158 - 178 = 0. What is the smallest common multiple of s and 24? 120 Let k(t) = 2*t + 24. Let o be k(-10). Suppose 2*i - o*y - 13 = y, -2*y = 4*i - 14. Calculate the lowest common multiple of i and 17. 68 Let r be 0 - 1 - (1 - 3). Let b be 0/(-13) - -7*r. Suppose -3*v + 3*m + 33 = 0, 4*v - 19 = -5*m + b. Calculate the least common multiple of 8 and v. 72 Let f(m) = m**2 + m - 1. Let l be f(-1). Find the common denominator of 0 + l + 97/6 and ((-64)/12)/(7/(-3)). 42 Let k = -349/280 + -13/40. Calculate the common denominator of k and 1*((-228)/14)/(-3). 7 Calculate the least common multiple of 4 + (-152)/36 + (-188)/(-36) and 55. 55 Let s(c) = -c**2 - 9*c - 11. Let q be s(-5). Suppose 56 = -2*m + q*m. Suppose -4*i - 5 = -77. What is the lowest common multiple of m and i? 72 Let w = -7200941/94 + 76605. What is the common denominator of w and -77/282? 282 Let t = -21874/5 - -17253/5. Let p = t - -932. Calculate the common denominator of 33/4 and p. 20 Calculate the common denominator of 67/20 and (111/(-12284))/(-1 - 115/(-118)). 1660 Let g be 4 - (78573/18 - -5). Let l = 4387 + g. What is the common denominator of -137/12 and l? 12 Find the common denominator of -81/4 and (-16)/(-96)*(-39)/1. 4 Calculate the common denominator of 85/84 and 3554/(-4488) - ((-588)/238)/21. 924 Let s(v) = v**3 + 14*v**2 + 4. Let i be s(-14). Suppose -7*l + 6*l + 10 = -i*x, x + 40 = 4*l. Calculate the least common multiple of 15 and l. 30 Let c = -9 - -42. Suppose 0 = -3*d - z + 2483, -3*d - c = 2*z - 2518. Let p = d - 13267/16. What is the common denominator of -91/10 and p? 80 Let n = 106 + -97. What is the common denominator of 31/20 and 6/n + 6/108? 180 Let c(h) = -h + 1. Suppose -4*o + q = -0*q + 21, -2*q = -o. Suppose -v + 3*j = 7*j - 19, -v = 5*j - 21. Calculate the lowest common multiple of v and c(o). 77 Let y(n) = -n**3 + 10*n**2 - 7*n - 7. Let t(q) = q**3 - 12*q**2 + 20*q + 9. Let c be t(10). What is the smallest common multiple of 8 - (7 + -3)/2 and y(c)? 66 Suppose -y - 20 = -6*y, -2*y = 2*v - 204. What is the lowest common multiple of 140 and v? 980 Calculate the lowest common multiple of (-38)/(-10) - 4/(80/(-4)) and 412. 412 Let z(s) = -2347*s - 12. Let w be 2/3 - 242/(-33). Let i be z(w). Let y = 375669/20 + i. Find the common denominator of 117/10 and y. 20 Let b = -98 - -1135/12. Find the common denominator of b and 4 - 4/(-240)*-159. 60 Let j(s) = s**2 - 6*s - 5. Let n = 6 + -4. Suppose 4*g + 3*x - 10 = n*g, 0 = -3*g + 4*x - 2. Calculate the lowest common multiple of g and j(9). 22 Let y(b) = 185*b - 195. Calculate the lowest common multiple of 100 and y(2). 700 Let g = 246/35 - -869/210. Let a = -280/69 - -3857/276. Calculate the common denominator of g and a. 12 Find the common denominator of (352/(-220))/(27/5) and 139/30. 270 Let r = 5010 - 140251/28. Calculate the common denominator of 3/28 and r. 28 Let b = 104137284 - 344277913195/3306. Let j be (-2186)/1102*1 + 2. Let q = b - j. Find the common denominator of q and -73/4. 12 Calculate the smallest common multiple of 56 and (-5472)/(-126) + 12/21. 616 Let q(x) = x**2 + 4*x - 49. Let w be q(0). Let i = 54 + w. What is the least common multiple of 10 and i? 10 Let v be (9032/10)/((-63)/5). Let b = v - -658/9. What is the common denominator of (6/10)/((-14)/35) and b? 14 Suppose i - 2*g - 23 = -3*g, 2*g + 26 = 2*i. What is the lowest common multiple of i and (-58)/(-7) + (-14)/49? 72 Find the common denominator of (-8855)/924*2*(-14)/250 and -137/54. 1350 What is the common denominator of -2 - ((-4725)/309)/7 and -5/4? 412 Let x = 14 + -13. Let d be -23 + 2 + x + -5. Let a = 35 + d. Calculate the lowest common multiple of a and 16. 80 Let j(k) = 10 - k**2 + 9*k**2 + 4*k + k**3 - 14*k + 2*k. Let v(f) = f**3 - 7*f**2 + 6*f - 9. Let w be v(6). What is the least common multiple of j(w) and 4? 4 Let u(x) = x**2 + 35*x - 31. Let a = 16 - -27. Calculate the smallest common multiple of a and u(-36). 215 Suppose -7*u - 28 = -8*u. What is the lowest common multiple of u and (-3 + -18 + 3)/(-2 - -1)? 252 Suppose 0 = 8*b - 5*b + 5*w - 8, 40 = 5*b - 5*w. Calculate the lowest common multiple of 6 and b. 6 Suppose 0 = 3*y + b - 17, 4*y + b = -3 + 24. Suppose -2*w = y*w - 30. Calculate the lowest common multiple of 8 and w. 40 Let l be ((-9)/4)/(30/(-280)). Let x = -20 + l. What is the smallest common multiple of 11 and x? 11 Let d = -151073/36 + 4195. Calculate the common denominator of d and -41/198. 396 Let i(y) = -y + 20. Let a be i(17). Calculate the common denominator of 34/(-22) - (-2)/4 and 2 - 0 - a - 927/162. 198 Suppose 2*k = 2*x - 4, -2*k - 7 = x + 3. Let y(h) = h + 5. Suppose -5*m + 59 - 14 = 0. Calculate the smallest common multiple of y(k) and m. 9 Let s(j) = 5*j + 32. Let b be s(-8). Calculate the common denominator of -1/9 and (113/b)/((-40)/32). 90 What is the common denominator of -41/12 and (8/((-96)/(-163)))/7? 84 Let y be 94/(-12) - (-4)/(-24). Let n = y + 10. Let u = 27 + -17. What is the smallest common multiple of n and u? 10 Let v(d) = d**3 - d**2 - d + 5. Let a be v(0). Suppose -34 = -a*i - 4. Calculate the least common multiple of i and 21. 42 What is the common denominator of 43/12 and 9/(-6)*342/(-81) + 1? 12 Let f(i) = -i**2 + 4*i - 13. Let j be f(3). Let k(p) = p**3 + 11*p**2 + 9*p + 2. What is the lowest common multiple of 32 and k(j)? 96 Suppose -j - 4*j = 2*q - 11, 0 = 2*q + j - 7. Let i = -289 - -290. What is the smallest common multiple of q and i? 3 Let c be (8/2)/(2/4). Suppose b - 14 = c. Suppose 3*r - 2*z - 92 = -r, 4*r = z + 90. Calculate the lowest common multiple of r and b. 22 Let g(z) = z**2 - 5*z + 5. Let d be g(4). Calculate the common denominator of (-34)/6*(-30)/(-4) and ((-6)/(-4))/d*15. 2 Let
{ "pile_set_name": "DM Mathematics" }
the third smallest value? (a) -421/34 (b) -1294 (c) -19 a What is the second smallest value in -35.4, -4, 284? -4 Which is the second smallest value? (a) 0.02 (b) 2 (c) -3 (d) -1/2 (e) -5 (f) 375.45 c What is the third biggest value in 0.29, -1, -19.1, -0.3, -37, -5/4? -1 Which is the smallest value? (a) 19 (b) 80906 (c) -23/5 c What is the second biggest value in -35/36, 0.2, -2.8, 1/286? 1/286 What is the third biggest value in -0.223, 2/3, -3.5, -7, 7? -0.223 What is the second biggest value in 0, 68, 1/2, -3.4, -4/7, 21? 21 What is the second smallest value in 98, -0.1, 0.06448? 0.06448 What is the third biggest value in 17, 0.2, -0.2, -0.023313? -0.023313 Which is the third biggest value? (a) -5 (b) 5/3 (c) 6 (d) -45/2 a Which is the fourth smallest value? (a) 4/5 (b) -0.5 (c) 4/7 (d) 1973538 d Which is the second biggest value? (a) 125740 (b) -182 (c) -5 c Which is the third smallest value? (a) 336 (b) -1/2 (c) -0.061 a What is the third smallest value in -6, -0.014, -61, -183? -6 What is the fourth biggest value in 0.5, 9, 5/4, 285, 17, -3/4? 5/4 What is the biggest value in 1, 0.5, 6906.6277? 6906.6277 Which is the biggest value? (a) -1/3 (b) -18 (c) -15.1 (d) -2/7 (e) 0.2 (f) -4 e What is the fourth biggest value in 163481, -5, 1/2, -22? -22 Which is the third biggest value? (a) -45 (b) 0.5 (c) 1/67 (d) -16 (e) 0.3 (f) -51 (g) 1/6 g What is the third biggest value in 2/15, -15.5, -2/3, 3/7, -236, -2/11, -3? -2/11 What is the smallest value in 2, 1/5, 5, 1/4, 0.22, -4/3, -5? -5 Which is the smallest value? (a) -0.4 (b) 37964 (c) 3 (d) -3 (e) 0.2 (f) -19 f Which is the sixth smallest value? (a) 4/7 (b) 3 (c) -106/5 (d) 14 (e) -6/11 (f) -4 (g) 5 g What is the fourth biggest value in -0.5, -8, 145, -2/7, 0.5, -30, 0.4? -2/7 What is the fourth biggest value in 9, 1/12, -6/5, 3, -0.4, 354, 0.04? 1/12 What is the smallest value in -6, 10/13, -20, -23? -23 Which is the third smallest value? (a) 13 (b) -46 (c) 2/7 (d) -3 c What is the sixth biggest value in 2, -7/4, -2/3, -15, 5, 6, -6? -6 What is the fifth smallest value in 2, 0.053, -0.04, -2/7, -39, 1/15? 1/15 What is the second smallest value in 1, -74, -50, 1/4, 4/7, -148, -5? -74 What is the third biggest value in -6, 4, -2, 2/13, -1/7, -39/148, -4? -1/7 What is the fourth smallest value in 1/14, -0.44, 7, 3, 2, -3/7? 2 Which is the second biggest value? (a) 7.1 (b) 1/102 (c) -27 (d) 6 (e) -4 d Which is the fourth smallest value? (a) -1 (b) 5 (c) 0.70997 (d) 0.1 (e) -0.04 c What is the smallest value in -6/7, 50/17, 2, -208, 5, 0.1? -208 Which is the fourth biggest value? (a) 51 (b) -4.11 (c) 23 (d) -0.2 b Which is the third biggest value? (a) 1/7 (b) -549217 (c) 1/6 (d) 0.2 (e) 6/5 (f) 1 d What is the second biggest value in 4/19, 2, 9, -1/5, 0.92, -2/15? 2 What is the sixth smallest value in -4, 0.03, 3, -1/2, -0.0293, 4? 4 Which is the third smallest value? (a) -4/3 (b) 0.4 (c) -15/29 (d) 6 (e) -0.6 (f) 5.8 c Which is the second smallest value? (a) -63 (b) 1 (c) -4841 (d) 75/8 a Which is the third biggest value? (a) 1/4 (b) 3 (c) 10 (d) -82.5 a What is the smallest value in -0.2, -7, -38, 1, 0.4, 47, 1/3? -38 What is the second smallest value in 21, 2, -117442, 1? 1 Which is the smallest value? (a) 14980 (b) -0.4 (c) -4 (d) -1 (e) 1 (f) 2/13 c What is the fifth biggest value in 4, 121.2, -5, -10, -0.5, 21/13? -5 What is the third smallest value in -0.1, 36, -10/87, 0.3, -4/5, 0.2? -0.1 Which is the second smallest value? (a) 1/7 (b) 3.3 (c) -1/14 a What is the biggest value in 1/27496, 1, -32, -0.26? 1 What is the second smallest value in -1, -0.5, 2/277, 106, -4, -3, -0.01? -3 What is the second smallest value in -1/5, -2, -212763? -2 What is the second smallest value in 2/49, 28, 0.5, -1, -5, 0.2? -1 Which is the fourth smallest value? (a) 3 (b) -2/11 (c) -7 (d) 5324.2 d Which is the third smallest value? (a) 4818 (b) 3/5 (c) 3/40 a What is the third biggest value in 252, -485, 19, 0? 0 What is the third smallest value in 5369, 0.019, 1? 5369 Which is the second biggest value? (a) -0.3 (b) -10331767/3 (c) -3/2 c What is the smallest value in -0.25, 3/5846, 40? -0.25 What is the second biggest value in -1/3, 5/4, 0.09, 872, -4.6? 5/4 What is the fourth biggest value in -0.076, 4, -30/187, 2? -30/187 What is the fourth smallest value in 9.1, -34, -0.4, 46, -4/7, 1? 1 What is the fourth smallest value in 3, -3, -2/5, -85? 3 Which is the fourth smallest value? (a) -3 (b) -5 (c) -7 (d) -9807 (e) -1 (f) -0.02 a What is the second biggest value in 0.5, 9, -3, 597/7? 9 What is the second biggest value in -0.1011, -97, -0.18? -0.18 Which is the biggest value? (a) -87 (b) -11 (c) 8/147 (d) 2/19 (e) 2 e Which is the biggest value? (a) 0 (b) 0.3 (c) 0.6966 (d) -46 (e) 1/4 c Which is the fourth smallest value? (a) -6 (b) -2 (c) 10213 (d) 2/11 (e) 4 (f) 2.5 f What is the smallest value in 1775, 3, 0.1, 6.83? 0.1 What is the third biggest value in -7862024, 0.9, 3/2? -7862024 Which is the second smallest value? (a) 134/9 (b) 1.854784 (c) -2 b Which is the third biggest value? (a) 3 (b) 92923 (c) -0.5 (d) 5 (e) -0.06 (f) -5 a What is the second biggest value in -0.28, -0.5, 2/1145, 1/4? 2/1145 What is the biggest value in -0.44, -2/7, 130, 3/89, 1.4? 130 What is the fourth smallest value in 5, -0.5, -16/193, 10? 10 What is the fourth biggest value in 3, -2, -182367, 3/5? -182367 What is the smallest value in 1.7, 1/2, 5, 497192? 1/2 Which is the fifth biggest value? (a) -108 (b) 15 (c) 0.2 (d) 2/9 (e) -6 a Which is the biggest value? (a) 10969/4 (b) -2/15 (c) -339 a What is the third smallest value in -3, -0.1, -0.24, 4, -2/13, 0.2, 0.5? -2/13 Which is the fourth biggest value? (a) -2/33 (b) -5/6 (c) 1/131 (d) -17.2 d Which is the third biggest value? (a) 0.2 (b) -40 (c) 5/4 (d) 0.08 (e) 1/886 d Which is the fourth biggest value? (a) -68 (b) 4 (c) -31 (d) -0.11 (e) -649 (f) -4 c Which is the second biggest value? (a) 12735/7 (b) -3/4 (c) -11/3 b What is the biggest value in 0.128, -0.3, 2355, -4? 2355 What is the third biggest value in -1/50, -1/7, -1/932, -1.8, -5, 0.2? -1/50 What is the biggest value in -0.041, -0.047, -6, 12, 38? 38 Which is the sixth smallest value? (a) -5 (b) -0.3 (c) 0.1 (d) -2 (e) 0.15 (f) 1/784 e What is the smallest value in -73, 3/8, 2, -0.2, -69/40? -73 What is the second biggest value in 2, 10.962, 5/6, 1? 2 Which is the biggest value? (a) 0.065 (b) 16 (c) -0.031 (d) -0.1 (e) 2/5 (f) -10/3 (g) -0.4 b Which is the biggest value? (a) -4 (b) 0.2 (c) 1/2 (d) -99/5 (e) 0.1109 c What is the sixth biggest value in 1/13, 0.19, -1, -0.48, -4, 4? -4 Which is the third smallest value? (a) 134897 (b) -0.2 (c) -1 a What is the biggest value in -0.3, -17.72, -5/2, -0.4, -30, -0.1? -0.1 Which is the third biggest value? (a) 373 (b) 0.2277 (c) -0.4 (d) -3/8 (e) 0.03 e Which is the fifth smallest value? (a) 1/46 (b) -1 (c) 52 (d) 0.3 (e) 9318 e Which is the third smallest value? (a) -23 (b) -90/493 (c) 1 c Which is the second smallest value? (a) 32 (b) 6 (c) -4/30017 (d) 3/5 d What is the second biggest value in 549, 2/7, 0.4, -216? 0.4 What is the fourth smallest value in -5, -0.1, -3/25846, 14? 14 What is the third smallest value in -60, -0.2, -3, -0.5, -53, 2? -3 Which is the third biggest value? (a) 3 (b) -53 (c) 0.0459 (d) -5 d Which is the fourth smallest value? (a) 47 (b) -3 (c) -5 (d) 624709 d Which is the fourth biggest value? (a) -111 (b) 2 (c) 0.3 (d) -1.5 (e) -0.3 (f) -2 (g) -2/127 e What is the third biggest value in -1276, 0.1, -0.063, 0, 4? 0 Which is the third smallest value? (a) -5 (b) -3 (c) 5/6 (d) -43 (e) 1.0139 (f) 1 b What is the second biggest value in 3, 19674669, -10? 3 Which is the biggest value? (a) 4 (b) -13 (c) -2.9 (d) 3 (e) 8 (f) 12 f What is the third biggest value in 4, 6, -2/489, -2, 0.04, -40? 0.04 Which is the biggest value? (a) -0.4 (b) 13/57 (c) 0.3 (d) -1 (e) 5 (f) -0.5 (g) -2/17 e Which is the third smallest value? (a) -1848201 (b) -4 (c) 85 c What is the fourth smallest value in 3, -72/7999, -5, 4, 6, -4
{ "pile_set_name": "DM Mathematics" }
5 - 3 = z*f. Suppose -u = f*i - 36, i - u - 8 = -0*i. What is the units digit of i? 1 Suppose -4*n = 2*u + 202, u - 196 = 4*n + 5*u. Suppose 239 = 3*y + 4*i + i, -5*y - 4*i + 381 = 0. Let z = n + y. What is the units digit of z? 1 What is the tens digit of (3 - 4)/((-3)/102)? 3 Suppose -h - h = -6. Suppose 4*p + y = -h - 12, 4*y = p + 8. What is the units digit of (-142)/p + (-11)/(-22)? 6 Suppose 2*y + c = 393, c = -2*c - 9. What is the tens digit of y? 9 Let c = 1656 - 1416. What is the tens digit of c? 4 Let u = -98 - -888. Suppose 28*h - 33*h + u = 0. What is the tens digit of h? 5 Suppose 4120 = -70*b + 74*b. What is the units digit of b? 0 Let v be (-1)/(-2 - (-42)/22). Suppose 0 = 5*a + 4*j - 17, -a + j + 4 - 6 = 0. Suppose a - v = -i. What is the units digit of i? 0 Suppose -4*h - 66 = 122. Let g be (-2)/(2/h - 0). Suppose -z + 4*u = 2*z - g, 2*z - u = 33. What is the units digit of z? 7 Let f be ((-40)/(-15))/(-4)*-3*2. What is the units digit of -1*4*3/f - -5? 2 Suppose 7*b + 0*b = 0. Suppose v - 4 = q - b, -v - 2 = -3*q. Let s = 9 - v. What is the units digit of s? 2 Suppose -17 = 3*u - 50. Let t(g) = -g**2 + 18*g + 6. What is the units digit of t(u)? 3 Let n(o) = -2*o + 6. Let m be n(3). Suppose m = -4*t + 517 - 149. What is the units digit of t? 2 Suppose -3*i - 10 = -5*t, 0*i = 2*i - 10. Suppose t*q - 28 + 3 = 0. Suppose -4*w = -2*y - 2*w + 16, q*y - 36 = w. What is the units digit of y? 7 Let b(i) = -i**3 - 6*i**2 - 9*i - 9. Let z be b(-6). Suppose 0*a + r - 163 = -3*a, -r + 107 = 2*a. What is the units digit of 18/z + a/10? 6 Suppose -6*u - 9*u = -15. What is the tens digit of 3 - u - (-62 - -3)? 6 Suppose -21*l + 2754 = -18*l. What is the tens digit of l? 1 Suppose -5398 = -7*t - 5489. Let g(v) = -5*v - 3. Let s(d) = -4*d - 4. Let f(n) = 5*g(n) - 6*s(n). What is the tens digit of f(t)? 2 Suppose -5*v + 4*p = -369, -7*v + 368 = -2*v - 3*p. What is the units digit of v? 3 Let a(j) = -5*j**3 + 3*j**2 + 3*j + 1. Let k be a(-1). Suppose 0 = -11*u + k*u + 40. What is the units digit of u? 8 Let c be (-1)/((-5)/20) - -58. Let j = c + -33. Suppose 144 = j*z - 27*z. What is the units digit of z? 2 Let c(q) = q**3 - 4*q**2 - 9*q + 2. Suppose 0 = -4*x + 4*y + 4, -y - 1 = x - 12. What is the units digit of c(x)? 0 Let j(d) = -d**3 - 6*d**2 - 6*d + 3. Let f be j(-5). Let l be 4/4 - (-4)/(-2)*-1. Suppose f*q = l*q + 45. What is the units digit of q? 9 Suppose 5*x - 5*k = -k + 1495, -1175 = -4*x - k. Let t = x + -149. What is the hundreds digit of t? 1 Suppose -1 = -3*g + 17. What is the tens digit of 848/6 + -7*g/(-63)? 4 Let a be (3/6)/((-4)/(-32)). Suppose 5*c + 3*w = -2, 0 = -5*c + a*w - 0*w + 26. Suppose 0*s = -c*s + 84. What is the units digit of s? 2 What is the hundreds digit of -1 + -4 + 7 + 193? 1 What is the hundreds digit of 651 + (60/(-4))/(-3)? 6 Let d(o) = -6*o + 2. Suppose -41 = 4*a + 3. Let v = a + 8. What is the units digit of d(v)? 0 Let f = 18 - 12. Let w = -6 + f. Suppose 0*y - 3*y - 15 = w, 0 = -4*g - y + 43. What is the tens digit of g? 1 Let f be 28*(-4)/(-12)*3/2. Suppose 0 = -0*s + 3*s - 3*j, 2*s + 5*j = f. What is the units digit of s? 2 Let f(w) = -5*w**3 + 1. Let t be f(-1). Let r = t - 14. What is the units digit of (-302)/(-8) + 6/r? 7 Let n be 12/(-2)*9/(-18). Let k = -27 - -25. What is the units digit of (n/k)/(3/(-58))? 9 Let h(i) = 3*i**3 + 71*i**2 + 8*i - 23. What is the tens digit of h(-23)? 5 Suppose -4*h + 709 = 453. What is the tens digit of h? 6 Let m(u) = 4*u - 33. Let h be (33/2)/(-3)*-2. What is the tens digit of m(h)? 1 Suppose -4*l + d - 2 - 5 = 0, -3*d - 6 = -3*l. What is the tens digit of l/5*(-71 - 4)? 4 Suppose 2*j - 542 = j + 4*k, 4*k = 3*j - 1650. Suppose -w + 3*w - j = 0. What is the units digit of w? 7 What is the tens digit of 1/(5 + (1 - 48522/8088))? 4 Suppose -65*m = -4*m - 124562. What is the tens digit of m? 4 Suppose 3*k + 0*k = -5*r + 3783, -k = -5*r + 3799. What is the hundreds digit of r? 7 Let i = -106 - -106. Let n(d) = -d**3 - 2*d**2 - d + 27. What is the tens digit of n(i)? 2 Let b = -138 - -198. Suppose -b = -4*q - 0*q. What is the units digit of q? 5 Suppose -4*p - 742 = -o - 299, 0 = o - 3*p - 445. What is the tens digit of o? 5 Suppose -5*u + 2*u = -219. Let a(f) = 2*f**2 - 11*f + 63. Let o be a(8). Let j = o - u. What is the units digit of j? 0 What is the units digit of (0 - 1) + ((-13734)/(-9) - 9)? 6 Suppose 677*l - 676*l - 615 = 0. What is the hundreds digit of l? 6 Let k(z) = 15*z + 15. Let y be k(10). Suppose -y - 109 = -2*g. What is the tens digit of g? 3 Let f be (5 + -2)/(-3) + 3. Suppose -z - 4 = -f*z. Suppose 5*x - 13 = z*s, -2*x - 4*s = 3*x - 37. What is the units digit of x? 5 Let k(v) = 35*v + 5. Let l be k(1). What is the units digit of ((-16)/l)/(4/(-180))? 8 Let k(j) = -2*j**3 - 3*j**2 + 2*j. Let c be k(-5). Suppose -3*l - 2*b = -175, 5*l - 2*l - 3*b - c = 0. What is the units digit of l? 7 Let l(j) = 166 + 3*j - 164 + 13*j + 2*j**2. What is the units digit of l(-13)? 2 Let i be (-2073)/(-21) + ((-12)/(-21))/2. Suppose 594 + i = 7*z. What is the units digit of z? 9 Let c be ((-7)/3)/((-8)/24). What is the units digit of c*1*(1 + 1 - 1)? 7 What is the tens digit of ((-1)/((-4)/(-6)))/((-24)/2768)? 7 Suppose -2*q + 7 = -29. Suppose -20*l = -q*l + 26. Let m = l - -26. What is the units digit of m? 3 Suppose 5*p - p = 0. Suppose p = 13*m - 18*m + 275. What is the tens digit of m? 5 Let z(l) = 17*l**2 - 7*l + 1. What is the hundreds digit of z(-5)? 4 Let a(i) = 168*i + 772. What is the hundreds digit of a(8)? 1 Let x be ((-6)/4)/(-5 + 44/8). Let j(q) = -5*q**3 - 2*q**2 - q - 10. What is the hundreds digit of j(x)? 1 Let r(s) = s**2 - 14*s + 4. Let b be r(14). Suppose 0 = 3*g - 3*u - 12, 0*u + b = 2*u. What is the units digit of g? 6 Let h(s) = 3*s**3 + 4*s + s**2 - s**3 + 14*s**2 + 3*s**2 - 7. What is the tens digit of h(-8)? 8 What is the units digit of 1656/(-10)*50/(-15)? 2 Suppose 5*c + 1055 = 4*k + k, -196 = -k + 4*c. What is the tens digit of k? 1 Suppose 4*f - 4*w + 7 = -1, -4*f + w = 2. Let h(c) = c**2 - c - 4. Let a be h(f). Let q(s) = s**3 + 4*s**2 - 4*s + 5. What is the units digit of q(a)? 1 Suppose -4*t + 10 = -5*m, -t - 2*m - 4 = t. Suppose c + 854 = 5*f, t*c = 4*f - 2*c - 688. What is the tens digit of f? 7 Let x = -65 + -5. Let c = 143 + x. What is the units digit of c? 3 Suppose -9 = p + s, 5*p + 3*s + 39 = s. Let v(l) = -l**2 - 7*l + 3. Let o be v(p). Suppose -23 = -q + 4*k, -4*k + 25 = o*q - 44. What is the tens digit of q? 2 What is the tens digit of (-3)/(-6) - 52325/(-50)? 4 Let v(i) = 10*i + 21. What is the units digit of v(19)? 1 Let d(q) = -q**2 - 5*q - 4. Let g = -10 - -6. Let o be d(g). Suppose o*l - n = 4*l - 69, -39 = -2*l - 5*n. What is the tens digit of l? 1 Suppose -5*z + 4980 = -0*z. Suppose 0*m = 12*m - z. What is the tens digit of m? 8 Let o(d) = d**3 - 11*d**2 - 15*d - 12. Let x be o(12). Let u = x - -96. Suppose 5*r - 2*r = u. What is the tens digit of r? 1 Let l = 15526 - 10012. What is the tens digit of l? 1 Suppose -5*p + 4*h + 1123 = 0, -10 = 3*h + 2*h. What is the units digit of p? 3 Let r = -135 + 135. Suppose r*n - 5*n + 1125 = 0. What is the hundreds digit of n? 2 Suppose 14*r + 196 = 7*r. What is the tens digit of (-2)/7 - 1436/r? 5 Let t(c) = -5*c + 49. Let b(g) = 6*g - 49. Let j(x) = 4*b(x) + 3*t(x). What is the units digit of j(10)? 1 Let o = -17 - -7. Let v be 43/15 - o/75. Let b(l) = 8*l - 3. What is the tens digit of b(v)? 2 Suppose -4*i + t - 377 = -3181, -3*i - 2*t = -2103. What is the tens digit of i? 0 Suppose 25*h - 3*p = 24*h + 499, 4*p - 1038 = -2*h. What is the units digit of h? 1 What is the tens digit of -5 - (6 - 7)*(-1 - -540)? 3 Let s(v) = -v**3 + 10*v**2 - 11*v + 28. Let h = 151 - 142. What is the tens digit of s(h)? 1 What is the tens digit of ((-723)/12 + 2)/(24/(-96))? 3 Suppose -3*g + 11 = 4*o - 0*o, 3*g - 3*o = 39. Suppose 7*f - g*f = -264. Suppose -m - 3*w = 2*m - f, -5*w = 2*m - 103. What is the units digit of m? 9 Suppose 20 = 3*z + 2*z, 5*w + 2*z = 108. Suppose -u + 16 = -l + 6*l, 5*u + w = 0. What is the units digit of l? 4 Let f = 91 - 62. Let w = -23 + f. What is the units digit of w? 6 Let u = 487 + 684. What is the hundreds digit of u? 1 Let l(t) = t + 7*t + 4*t. Let c(u) =
{ "pile_set_name": "DM Mathematics" }
t from {c: 8, k: 4, q: 1}. What is prob of sequence ccqc? 14/715 Four letters picked without replacement from kwwwuwkuuuwowsw. Give prob of sequence woku. 1/585 Four letters picked without replacement from {m: 1, w: 6, k: 3, j: 4}. Give prob of sequence mkww. 15/4004 Three letters picked without replacement from dddudduudddduduudd. Give prob of sequence uuu. 5/204 Calculate prob of sequence ll when two letters picked without replacement from uoollllol. 5/18 Three letters picked without replacement from {a: 5, r: 1, f: 5, y: 2, q: 5}. Give prob of sequence rqq. 5/1224 Two letters picked without replacement from {p: 8, v: 2, b: 2, z: 1}. Give prob of sequence zp. 2/39 Calculate prob of sequence dh when two letters picked without replacement from {p: 2, d: 1, h: 2, s: 1, v: 8}. 1/91 What is prob of sequence kla when three letters picked without replacement from {l: 1, a: 9, p: 3, k: 5}? 5/544 Calculate prob of sequence fm when two letters picked without replacement from ffffffffffffmfffffff. 1/20 What is prob of sequence uff when three letters picked without replacement from iifiuiffifui? 1/55 What is prob of sequence vvi when three letters picked without replacement from {v: 3, i: 2}? 1/5 Three letters picked without replacement from xvwdvvivdvidivdvdvd. What is prob of sequence idx? 1/323 Four letters picked without replacement from {m: 5, j: 2, l: 2, z: 2, c: 2}. Give prob of sequence lcmz. 1/429 Calculate prob of sequence pfp when three letters picked without replacement from {p: 7, f: 5}. 7/44 Two letters picked without replacement from {o: 2, w: 8}. What is prob of sequence wo? 8/45 Three letters picked without replacement from pspjpppop. What is prob of sequence osj? 1/504 Calculate prob of sequence jlll when four letters picked without replacement from hljlllfjfjll. 1/33 Calculate prob of sequence rcoa when four letters picked without replacement from {a: 1, c: 4, j: 2, o: 1, r: 1}. 1/756 Two letters picked without replacement from xxgjngx. What is prob of sequence xx? 1/7 Four letters picked without replacement from kmzzzukmskkck. Give prob of sequence kmks. 1/429 Two letters picked without replacement from {x: 1, i: 1, h: 1, t: 1, p: 1}. Give prob of sequence xi. 1/20 Four letters picked without replacement from uuuuuuuuuuuunnunuu. Give prob of sequence unnu. 7/408 Three letters picked without replacement from {a: 1, y: 1, d: 1, w: 2, e: 4}. Give prob of sequence dww. 1/252 What is prob of sequence gsu when three letters picked without replacement from {g: 4, j: 1, u: 2, f: 10, s: 2}? 8/2907 Two letters picked without replacement from xcmxmmmmx. Give prob of sequence cx. 1/24 Four letters picked without replacement from {j: 5, d: 4, e: 1}. What is prob of sequence djej? 1/63 What is prob of sequence oo when two letters picked without replacement from {o: 4}? 1 What is prob of sequence tttd when four letters picked without replacement from dtddttattdttdtd? 4/65 Two letters picked without replacement from {r: 5, x: 2}. What is prob of sequence xr? 5/21 Calculate prob of sequence hecj when four letters picked without replacement from hejececvecj. 1/330 Two letters picked without replacement from ggxxrkn. What is prob of sequence nr? 1/42 What is prob of sequence muk when three letters picked without replacement from mukyyhy? 1/210 Four letters picked without replacement from ppkrkirpkprkk. Give prob of sequence krki. 1/286 Calculate prob of sequence uihu when four letters picked without replacement from iiuuuuuhuhuiuuhuiu. 11/612 Calculate prob of sequence rj when two letters picked without replacement from {a: 4, k: 1, r: 5, j: 5, s: 1, y: 1}. 25/272 Three letters picked without replacement from {g: 1, k: 3, w: 3, n: 1, r: 4, z: 3}. Give prob of sequence wzk. 9/910 Calculate prob of sequence ddd when three letters picked without replacement from ddsddsndiwsy. 1/22 What is prob of sequence tt when two letters picked without replacement from {l: 5, o: 1, y: 2, n: 6, t: 2}? 1/120 Four letters picked without replacement from eoeooooooooooeo. What is prob of sequence eoee? 1/455 Three letters picked without replacement from {f: 2, j: 2}. Give prob of sequence jff. 1/6 What is prob of sequence idv when three letters picked without replacement from {q: 2, d: 2, v: 2, i: 2, m: 4}? 1/165 Four letters picked without replacement from hhdhhlllll. What is prob of sequence dllh? 1/63 Two letters picked without replacement from {z: 4, o: 1, y: 8}. Give prob of sequence zo. 1/39 Two letters picked without replacement from {q: 5, h: 3, j: 1, u: 2, z: 1, n: 1}. Give prob of sequence hn. 1/52 Two letters picked without replacement from {e: 4, d: 1, l: 2, t: 1}. Give prob of sequence lt. 1/28 What is prob of sequence tt when two letters picked without replacement from {t: 3, q: 8, j: 5, i: 1, y: 3}? 3/190 Four letters picked without replacement from jwbmyee. What is prob of sequence wmje? 1/420 Two letters picked without replacement from newewanowggwnww. Give prob of sequence ee. 1/105 What is prob of sequence qdqp when four letters picked without replacement from {p: 1, k: 1, d: 1, s: 2, q: 2}? 1/420 Two letters picked without replacement from nnnnnnnnznnznnnnnn. What is prob of sequence zz? 1/153 Two letters picked without replacement from prprsssprmsrrmpsprr. What is prob of sequence ss? 10/171 Three letters picked without replacement from hhfnmnlnmn. Give prob of sequence mlf. 1/360 Three letters picked without replacement from {r: 2, v: 8}. What is prob of sequence vvr? 7/45 What is prob of sequence tnnm when four letters picked without replacement from {w: 2, j: 1, t: 2, n: 6, m: 3}? 15/2002 What is prob of sequence kkn when three letters picked without replacement from {e: 5, n: 4, y: 1, k: 5}? 8/273 Three letters picked without replacement from {v: 1, e: 1, l: 1, b: 1, h: 2, i: 1}. What is prob of sequence ibe? 1/210 Calculate prob of sequence zzrr when four letters picked without replacement from zrzrrzz. 3/35 What is prob of sequence sjs when three letters picked without replacement from {s: 11, j: 3}? 55/364 What is prob of sequence hcc when three letters picked without replacement from hhhcchhhhh? 1/45 Three letters picked without replacement from wmwwsqo. What is prob of sequence oqm? 1/210 Calculate prob of sequence rrr when three letters picked without replacement from {r: 3, y: 2, o: 4}. 1/84 Two letters picked without replacement from {t: 1, c: 19}. Give prob of sequence tc. 1/20 What is prob of sequence ca when two letters picked without replacement from aaoacaazaaaaaacocoz? 11/114 Three letters picked without replacement from lllgyhhshiyhhlihg. What is prob of sequence ghl? 1/85 Four letters picked without replacement from nnknnk. What is prob of sequence kknn? 1/15 Three letters picked without replacement from wvenvwiccceivce. What is prob of sequence wvn? 1/455 Three letters picked without replacement from lrrolvlvvlllvllellvk. What is prob of sequence reo? 1/3420 Two letters picked without replacement from jiiyjjijjjjivy. What is prob of sequence vy? 1/91 Four letters picked without replacement from vvhhvzzzzhzzhv. Give prob of sequence hzvz. 20/1001 Four letters picked without replacement from ummddo. What is prob of sequence mdum? 1/90 Two letters picked without replacement from bbebebbebebeebbeeeb. What is prob of sequence bb? 5/19 Three letters picked without replacement from idwiroor. What is prob of sequence ioo? 1/84 Calculate prob of sequence oos when three letters picked without replacement from {o: 1, s: 1, e: 2, b: 5, n: 1}. 0 Calculate prob of sequence eses when four letters picked without replacement from eeesseesessee. 28/429 Four letters picked without replacement from fqawwqfj. What is prob of sequence qwfw? 1/210 Four letters picked without replacement from {l: 3, m: 3, f: 1, b: 4}. Give prob of sequence mllm. 1/220 Four letters picked without replacement from {o: 2, c: 4, j: 1, p: 3}. Give prob of sequence pjoo. 1/840 Three letters picked without replacement from mmtwwttwttltlwwmwtl. Give prob of sequence wlm. 3/323 Four letters picked without replacement from {k: 1, s: 4, w: 2, i: 2, j: 5}. Give prob of sequence wkji. 5/6006 Two letters picked without replacement from {s: 1, e: 5, c: 1, d: 2, o: 1}. What is prob
{ "pile_set_name": "DM Mathematics" }
*i. Let l = z - w. Is l prime? False Let k(p) = -20*p - 3. Let y(d) = -d**2 + 7*d - 17. Let f be y(4). Is k(f) composite? False Suppose -39 = -g - 6. Is g prime? False Let h be (-2)/((-64)/20 + 3). Suppose -220 = 6*p - h*p. Is 8/20*(p + 0) composite? True Let g = 28156 - 9505. Is g a prime number? False Let v be 21/49 - (-29044)/14. Suppose 5*h - 1590 = v. Is h prime? True Suppose -3*j = 2*t - 2168, 0 = 2*t - 6*j + 7*j - 2164. Is t a composite number? True Suppose -6*d + 13492 + 1382 = 0. Suppose 5*z - 3*c = 3913, -5*c = -3*z + d - 144. Is z composite? True Let d(y) = -y**2 + 8*y + 1. Let k be d(8). Is -87*(10/(-6))/k prime? False Let q = 5 + 30. Suppose -2*z - 3*z + q = 0. Suppose -1266 = -z*r + r. Is r composite? False Let t(w) = -9*w**2 + 6*w + 6. Let o be t(-3). Let q = 56 - o. Is q composite? False Let a(w) = -w**3 + 7*w**2 - 4*w - 7. Let q be a(6). Suppose 3*f - 1969 = q*t, t + f + f + 399 = 0. Let j = t - -558. Is j prime? True Let g = -8 + -4. Let u be g/(-48) + 2585/(-4). Is (u/6)/(4/(-12)) a composite number? True Let j(h) = -h**2 + 12*h + 4. Let k be j(12). Suppose 9 = 4*f - 4*l - 3, k*f - 5*l - 17 = 0. Is 18/12 + (-991)/f prime? False Suppose 3*h + h = -r + 38, 3*r - 6 = 0. Is h/(-24) + (-513)/(-24) a composite number? True Suppose 4*y - 168899 = -5*j - 25954, y = -2*j + 57175. Is j a prime number? False Let y(j) = 3*j**3 + 99*j**2 - 39*j + 74. Is y(-33) a composite number? False Let g = 341 - -1196. Is g a prime number? False Suppose -10*q - 7*q = -131801. Is q a prime number? True Suppose 5*r + 2988 = w, -r + 4*r - 15052 = -5*w. Let n = w + -1841. Is n prime? False Suppose -5*k + 3*o - 5*o = -943, 3*k - 541 = 5*o. Suppose 3*q - k = 2*q. Is q a prime number? False Suppose -6*u + 8*u - 108 = 0. Suppose u = -2*z + 3*z + i, 0 = 5*z + 2*i - 285. Is z a prime number? True Suppose 4*i + 482*o - 134488 = 478*o, o = 0. Is i composite? True Let v be 54/((-14)/(-8) - 1). Suppose -4*o + 14*o = 1990. Let r = o - v. Is r a composite number? False Let x be (-2 - 1)*(-52)/3. Let z be (-9)/(-6)*(-360)/(-18). Let g = x - z. Is g a composite number? True Suppose -582 = 3*y - 6*y. Is (y/(-5))/((-6)/15) prime? True Let f(l) = 1298*l + 28. Let m be f(7). Let c = m - 5845. Is c a composite number? True Suppose 0 = h + 4*b - 2 + 12, -h = 5*b + 13. Is (-335 + (2 - 1))/(h/(-11)) composite? True Let p = 9379 - -1284. Is p a composite number? False Let j be (0 + 9111)/((-11)/(-2) - 4). Let o = -4333 + j. Is o composite? False Is 1*1/7 - (-4423672)/238 a composite number? False Suppose 0*p = -5*p + 10. Suppose -2 = -2*w + p. Suppose 0 = w*h + 2*h - 580. Is h a prime number? False Let d(w) be the third derivative of -53*w**4/12 + w**3/2 - 39*w**2. Is d(-7) composite? True Suppose -5679 = -6*c - 3*c. Is c composite? False Suppose 7*d - 2*d = -4*g + 14, 5 = d + 3*g. Let o(t) = -1 - 2 + 38*t**d + 4 - 4*t + 6*t. Is o(-1) a prime number? True Suppose 5*z + h + 2145 = -17682, -z - h = 3967. Let r = -1594 - z. Is r composite? False Suppose 2*o + 5*n - 96127 = 0, 23*o - 25*o + 5*n = -96157. Is o a composite number? True Suppose -4*u - 4*w = -12080, 2*u - 7*u = -5*w - 15090. Is u composite? False Suppose -69*k = -64*k + 3105. Let h = k - -1268. Is h composite? False Suppose 2*c = -m - 12, 5*c + 30 = -m + 3. Is 12415/78 + m/12 a prime number? False Is (371364/9)/(-2)*60/(-40) composite? True Suppose -1823 = -l + 2594. Is l a prime number? False Suppose 0*f + 3*f = -192. Let y(d) = -d**3 + 16*d**2 + 16*d - 10. Let c be y(17). Let l = c - f. Is l a prime number? True Let x = -5 + 7. Suppose 0 = x*l - 5 - 1. Suppose -339 - 49 = -l*w + 5*r, 5*w - 660 = -5*r. Is w composite? False Is 18/(-567)*-7 + 297676/36 a composite number? False Suppose c = 4*n, 2*c + 6*n = n. Let g(d) = d**3 + 5*d**2 - 8*d - 9. Let f be g(-6). Suppose 3*v - f*o - 771 = c, 4*o = -v + 4*v - 769. Is v a composite number? True Let a(g) = -33*g - 1. Let l be a(6). Let m = 39 + l. Let p = m - -309. Is p a composite number? False Suppose -5*v = -v + 2*r - 117372, 5*r = -5*v + 146715. Is v prime? False Let w(g) = g**2 - 32*g + 36. Let j be w(31). Suppose 667 = 2*x + j. Is x composite? False Suppose -5*c + 2*c + 12 = 0. Is c/3 - (-12)/((-72)/(-11830)) a composite number? False Suppose -8 = -2*x - 4. Suppose -5*q - 2867 = -3*i + 11482, -x*q - 19132 = -4*i. Is i composite? False Let o(q) = -q**3 + 14*q**2 + 30*q + 22. Let g be o(16). Let w(y) = -y**3 - 9*y**2 - 11*y + 11. Is w(g) a prime number? False Let w(f) = -f**3 - 12*f**2 + 13*f + 3. Let o be w(-13). Suppose -1 = -2*x + o. Suppose -x*h + 2*l = 6*l - 22, l = -2*h + 10. Is h a composite number? False Suppose 4 = -g - 3*d, 5*g + 3*d + 1 = 5. Suppose a - 5*q + 42 = 0, -a + 0*a - g*q - 42 = 0. Is (2 - a) + (-14)/(-7) prime? False Let b(k) = -k**3 + 31*k**2 + 18*k - 63. Is b(23) composite? False Let h be (-2 + 6 - 2) + 10833. Let c be (h/10)/(3/6). Suppose -3*b + c = -632. Is b a composite number? True Suppose 2*k - 2*q = 7*k - 25975, -4*k + 20803 = -3*q. Is k prime? True Let h = -24 - -21. Let o(k) be the first derivative of 64*k**3/3 - 5*k**2/2 - 4*k - 2. Is o(h) composite? False Is 3 + 2 + 1 - -35143 composite? False Let x(q) = -1497*q + 145. Is x(-6) composite? False Suppose 2*d - 10 = 6. Suppose -5*t + d = -4*f - 0*t, -3*f = -t + 6. Is (f - -7) + -3 + 91 a prime number? False Suppose 0 = -4*g + v + 40120, 7*v + 20 = 2*v. Is g a prime number? False Suppose 3*y - y - 5*h = 17, -2*h = -3*y + 31. Let q be (0 - -934)/(y/11). Suppose 2216 + q = 5*m - 5*u, 2*u = 5*m - 3153. Is m composite? False Let r(s) = -2*s - 5. Let a be r(-5). Suppose -8*o = -1260 - 3364. Suppose 17 = a*w - o. Is w composite? True Let c(p) be the first derivative of p**4/4 - 11*p**3/3 - p**2/2 - 17*p - 10. Is c(12) a composite number? True Suppose d + 8365 = 35898. Is d composite? True Let n = 23168 + 39683. Is n prime? True Is ((-721220)/16)/((-140)/112) a composite number? False Let l(f) = 2*f**2 + 2*f + 20. Let x be l(11). Let g = x + 413. Is g prime? False Let y be -3 - 0 - (-2 - -1). Let o be (1 + y + 6)*1. Is 6/(-30) + 276/o composite? True Let z = -929 + 4422. Is z a composite number? True Let g(b) = b + 1. Let q be g(1). Suppose -5*n + 16 = -2*f, -3*n + 3*f = q*f - 9. Suppose 0 = n*s - s - 149. Is s prime? True Suppose -6*g + 12122 = -31576. Is g a prime number? True Let a be 1/((-2)/(2 - 4)). Let c be (-3)/((-2)/(3 - a)). Suppose -4*r - q + 185 = -78, c*r + 5*q = 176. Is r composite? False Is (-47 - -25)*(-89)/2 prime? False Let z(o) = 12*o**2 + 9*o - 10. Let t be z(5). Let u = t + -144. Is u composite? False Suppose 4 + 4 = 2*p. Suppose 2967 = p*r + 407. Suppose -7*a + 2*a = 5*t - r, -3*t = -a - 396. Is t composite? False Let q = 11642 + -8091. Is q prime? False Let q(w) = 2*w**2 - 4*w - 7. Let l(j) = -j**3 + 3*j**2 + j - 3. Let a be l(3). Let p = 5 + a. Is q(p) a prime number? True Let y = 4 + -5. Let v = y + -1. Let i = v - -5. Is i a prime number? True Let o = 6173 + -1462. Is o a composite number? True Suppose -10 = -10*q - 0*q. Is 0 + 112/(2/q) + -3 prime? True Is 765451/284*(3 - -1) a composite number? False Let h = -1248 - -2111. Is h a composite number? False Let w = 73 - 70. Suppose 2*t + 10945 = w*y, 4*y - 5*y - 2*t = -3643. Is y composite? True Suppose 0 = 5*u + 25, 2*t + 3*u + 19 = -0*u. Let s be t/5 - (-64)/10. Is 760/25 + s/10 a composite number? False Let y = 0 + 2. Let p(l) = l + 7. Let v be p(-4). Suppose -x - y*f = -f - 81, -v*f - 310 = -4*x. Is x a composite number? False Is (-390417)/(-15) + (156/(-15))/13 composite? True Let b = 176 - -239. Suppose 3*x - 731 = b. Is x a composite number? True Is 17/34*(-3 + 1) - -70974 prime? False Suppose b = 4*j - 9813, 12*b + 4911 = 2*j + 7*b. Is j prime? False Suppose 2*l = -3*l + 20. Suppose -4*h = -0*h + t - 3208, -4*h - l*t = -3196. Is h prime? False Suppose -10*t - 7488 = -3*r - 11*t, r - t - 2500 = 0. Is r prime? False Suppose 3*w + a = -114 + 12, w - a + 30 = 0. Is (22/w)/((-2)/6459) a composite number? False Suppose -r = 1, -4*r = -f - 4 - 96. Let q be (f/(-10))/(5/475). Suppose q = 3*u + 5*i, -146 = -2*u - 5*i + 511. Is u composite? False Suppose 0 = -f - 19 + 341. Let c = f + -163. Is c a composite number? True Suppose -19780 = 35*s - 55*s. Is s composite? True Let r = 2 + 2. Suppose 0*k + r*k = 6940. Is k a co
{ "pile_set_name": "DM Mathematics" }
ler: 1 or -572341? -572341 Which is greater: 1728/1681 or 1? 1728/1681 Which is bigger: 1148 or 3445/3? 3445/3 Which is smaller: -727047/5 or -145409? -727047/5 Which is greater: -1 or -15273/7? -1 Which is smaller: 40 or 272? 40 Are 592 and -30 unequal? True Is 227 not equal to 24651/109? True Is 1 smaller than 16195? True Which is greater: -27658/7 or -3950? -3950 Which is smaller: 86/5 or -465/8? -465/8 Which is smaller: -1358027 or -1358026? -1358027 Is -53 < 2192? True Which is smaller: 2745 or -64? -64 Which is greater: 0 or -131477/4? 0 Is 83373 greater than or equal to 83372? True Is 1427/50 <= 30? True Is -94186 equal to -94185? False Which is greater: -2/26603555 or 1? 1 Is -1/4 at least 5/1942? False Which is greater: -23 or -1137/49? -23 Is 1 at most as big as 1/73445? False Which is smaller: -20615 or -20611? -20615 Is -6.1 >= -0.201? False Is -59428/35 equal to -1697? False Which is smaller: -13/5287 or 1? -13/5287 Which is smaller: -2153 or 940? -2153 Is -1 less than or equal to 1/37276? True Is 70678 greater than or equal to 141353/2? True Which is bigger: -0.167 or 31? 31 Is 140/13213 at least 0? True Which is smaller: 7003/115 or 60? 60 Is 0 greater than 1514/13713? False Which is smaller: -121223/2 or -60613? -60613 Do -1 and 2/959859 have different values? True Which is smaller: -45 or 77.6? -45 Which is greater: -127257 or -127263? -127257 Is 13636 equal to 13630? False Is 282242 bigger than 282242? False Are -6 and -4262/583 non-equal? True Is 0 at most as big as 96/539? True Is -1/28719 bigger than -2? True Which is bigger: 1635 or 2.4? 1635 Is -5/35316 at most 0? True Which is bigger: 214 or -51.4? 214 Is -364 greater than -356? False Which is greater: -122/20597 or -1? -122/20597 Which is bigger: -1/2 or -2491/4? -1/2 Which is bigger: 8260/3 or 2754? 2754 Is 0.1 != -287.03? True Is 1 > -110/5393? True Is -260 less than -6998/27? True Does -2/2126849 = -1? False Is 236/6971 less than 1? True Which is bigger: -1 or -182/3139? -182/3139 Which is greater: 91373 or 91391? 91391 Which is greater: -5860/513 or -12? -5860/513 Which is greater: -71912 or -71913? -71912 Does -1/43962 = 1? False Which is greater: -36/6251 or 1? 1 Which is smaller: 0 or 19/31575? 0 Is -86953 smaller than -86953? False Are -39884 and -358952/9 unequal? True Which is smaller: -9538 or -9522? -9538 Is 5 > 2084/493? True Is 0.0211 less than or equal to -30? False Which is smaller: 74/9381 or 0? 0 Do 0 and -773/1873 have different values? True Which is greater: 0 or -78/9299? 0 Is 288 at most as big as 0.56? False Is 808510 greater than or equal to 1? True Do 3647 and 3644 have the same value? False Is -9360 greater than or equal to -9362? True Does 1/131224 = 0? False Which is greater: 202/19 or 3/2? 202/19 Is 84/1817 smaller than -1? False Is -1711 at least -9? False Is -5 at least 5205/28? False Which is smaller: -3611534 or -3611535? -3611535 Does -33992 = -169956/5? False Which is bigger: -2 or -46.2531? -2 Is 2236459 > 2? True Which is bigger: -10942/33 or -333? -10942/33 Which is smaller: 4619 or 5171? 4619 Which is smaller: -563 or -500? -563 Which is smaller: -354/221 or -1? -354/221 Do -12/31 and 15/13 have the same value? False Which is smaller: 27 or -959? -959 Which is greater: 14/1099897 or 1? 1 Are 382103/4 and 95526 nonequal? True Is 11 less than or equal to -61629? False Which is smaller: 1 or -31/20724? -31/20724 Which is bigger: 25311 or 25312? 25312 Is 49629/4 greater than 12408? False Which is smaller: 23169/65 or 357? 23169/65 Are 19605 and 19604 non-equal? True Which is smaller: -0.11095 or 15? -0.11095 Is -4148 greater than -78786/19? False Which is greater: 17992 or 0? 17992 Is 2/229 greater than or equal to -364? True Do -1003053/2 and -501527 have the same value? False Is -10418 not equal to -385488/37? True Is 0 at least as big as 4/48329? False Which is smaller: 0 or 22/941? 0 Which is greater: -4/7 or 18531? 18531 Is -603573 at least -603573? True Which is greater: -63 or -7153/112? -63 Is 11555/883 at least as big as 14? False Are -293 and -20 equal? False Is -909833 >= -909833? True Which is greater: 19596 or 19595? 19596 Which is greater: -5558413 or -5558414? -5558413 Is -2 greater than 3/308833? False Which is bigger: 7/6555 or 0? 7/6555 Is 2384 smaller than 2275? False Which is smaller: 642840 or 642838? 642838 Is -9 <= -3116.3? False Which is smaller: 8 or 3965? 8 Which is smaller: 9305 or 9229? 9229 Which is bigger: 88629 or 88650? 88650 Is 4/35265 at most -1? False Which is smaller: -24453 or -3/7? -24453 Is -0.04 less than -387841? False Which is greater: -457806/55 or -8324? -457806/55 Which is greater: 1070/949 or 1? 1070/949 Is -1 at least as big as 4/72609? False Which is bigger: 25 or -10.41? 25 Which is bigger: -2/2382397 or 1? 1 Which is smaller: 4185 or 4731? 4185 Which is greater: 1 or 14/208739? 1 Which is greater: 43213 or 43212? 43213 Which is greater: -69883 or -69885? -69883 Do 2351 and 2355 have the same value? False Which is greater: 0.28 or 7343/6? 7343/6 Is 1/8693 at most as big as 0.3? True Which is smaller: -12930 or -12932? -12932 Do -100783/6 and -16796 have the same value? False Which is smaller: 1 or 26/1378309? 26/1378309 Is 15/7391 at most as big as -1? False Which is bigger: 6/13 or 15/8? 15/8 Which is smaller: -1 or 7/257982? -1 Is -1 smaller than 74/76577? True Is 3 at least as big as -6/15281? True Which is greater: -1335 or -1322? -1322 Is 25466 <= 25466? True Is 1794041 equal to 1794040? False Which is smaller: 2531 or 2524? 2524 Is -2874 less than -2875? False Is -0.1 less than or equal to -30815? False Which is smaller: 111393 or 2? 2 Which is smaller: -600213 or -600216? -600216 Which is smaller: 3/85430 or 1? 3/85430 Is 48 bigger than -3589? True Which is smaller: 0.009 or -284? -284 Which is greater: 1 or -2/803719? 1 Which is smaller: -0.3 or -10706? -10706 Which is smaller: 1 or -1/11540? -1/11540 Which is smaller: 2841 or 2838? 2838 Is -2/99 not equal to 973? True Which is bigger: 80583 or 80578? 80583 Which is smaller: 1 or -2/4464989? -2/4464989 Are -4/519081 and 0 equal? False Is 7570 greater than 7477? True Which is smaller: 1 or -178/9499? -178/9499 Is -26810 < -26812? False Is -9 at most 11121? True Is 3959/950 > 4? True Which is greater: 236 or 2/11? 236 Which is smaller: 29796 or 29797? 29796 Which is bigger: -3 or -211/92? -211/92 Which is smaller: -2/22276997 or 0? -2/22276997 Is 1 at least as big as -607/11188? True Is 2566 smaller than 2469? False Is -85/118887 > 1? False Is 0.3 != 2/49823? True Which is bigger: 31042 or 31043? 31043 Are -162.21 and 4.2 equal? False Which is smaller: -30 or 337/7? -30 Which is bigger: -2/3251 or -1? -2/3251 Which is bigger: 874655 or 874654? 874655 Does -243352 = -243353? False Which is smaller: 1/5372959 or -1? -1 Is -4/7 at most 666/11? True Which is greater: -1078 or -56023/52? -56023/52 Which is greater: -354/6913 or -1? -354/6913 Is -480 != -480? False Which is smaller: 50 or -1521? -1521 Which is greater: -12386 or -12383? -12383 Is -6965 less than -6967? False Which is greater: 1 or 8482997? 8482997 Which is smaller: -64854/49 or -1324? -1324 Is 3 bigger than -11144? True Is 314598 greater than 314596? True Is -6.74 bigger than -15/8? False Which is greater: -122018 or -122017? -122017 Do 3093/8 and 388 have the same value? False Which is smaller: -2/11389883 or 0? -2/11389883 Which is bigger: -2/1535067 or -2? -2/1535067 Is -51/2152 greater than or equal to -1? True Which is bigger: 0.564 or 12/5? 12/5 Is -19 not equal to 22329? True Is -964/103 greater than 1? False Which is greater: -4/69 or 1263? 1263 Is 1571359 at most as big as 1571359? True Is 4191701 at least 4191701? True Is 77256/19 <= 4066? False Which is greater: 362 or 352? 362 Is -5 != -1563? True Does -37/6 = -61? False Are 237470 and 237468 equal? False Which is bigger: -82735 or -82742? -82735 Which is bigger: 0 or -37562? 0 Is 1046 less than or equal to 1043? False Are 419140/17 and 24655 unequal? True Which is greater: -1/70 or -25440/7? -1/70 Is -3/152 less than -105/53? False Which is bigger: 372629 or 372627? 372629 Which is greater: -9507 or 1.01? 1.01 Which is smaller: 43776 or 43778? 43776 Which is bigger: -22452/167 or -135? -22452/167 Do -4
{ "pile_set_name": "DM Mathematics" }
or u. 3 Solve -14135*w + 14132*w + 231 = 26*h, 2*h - 5*w = 23 for h. 9 Solve 15*h + 60 = 0, 2*h + 4961 = 3*d + 4980 for d. -9 Solve -u - 254 + 87 = 94*b + 21 + 87, 0 = -b - 5*u + 32 for b. -3 Solve c - 183175 = -183178, 6*c - 4*c = 2*k - 12 for k. 3 Solve -4*i - 22*f + 69*f + 1 = 30*f - 7, 3*i = -4*f - 61 for i. -15 Solve 929*s - 912*s = 4*k - 8, 7*s + 8 = 4*k for s. 0 Solve -5*a - 2*b = 67, -5*b - 151 = 1810*a - 1814*a for a. -1 Solve 8*z + 8*z - 19*z = 2*r, 7*r - 6*r + 4*z = -5 for r. 3 Solve -5*i + 61 = 42*t - 53*t, -4*i + 104 = 5*t for t. 4 Solve 0 = f + 5*t - 70, -21456 + 21435 = f - 2*t for f. 5 Solve o - 1067043*a - 495 = -1067036*a, -2*a - 150 = 4*o for o. -2 Solve 313*v - 2*h = 319*v + 28, -8 = h for v. -2 Solve -4303 = -3*a + 2*r - 4355, 0 = 2*r - 52 for a. 0 Solve -5*o + 1110 - 1088 = -4*p, 3*p + 6 = -o + 3*o for o. 6 Solve 6*k = 14*b + 96, -102*k = -3*b - 98*k - 7 for b. -9 Solve s - 36*g + 71 = 0, -6908*s = -6912*s + g + 2 for s. 1 Solve 14 = -3*u - 3*s + 5, u + s + 0 = 2*s - 1 for u. -2 Solve 1152 = 5*d - 11*c + 952, -4*d + 5*d + 144 = -7*c for d. -4 Solve 0 = -3*b + 27*u + 8375 - 8603, -5*u + 20 = -5*b for b. 5 Solve 3*t + 9*a = 75, 132*t + 4 + 1 = 131*t - 101*a + 103*a for t. 7 Solve -15735*t + 5*b = -15738*t + 56, 0 = -5*t - 3*b + 71 - 47 for t. -3 Solve 143*q + 3*i = 139*q - 16, -12 - 24 = 2*q + 5*i for q. 2 Solve -2*h - 50 = 7*g, 251 - 576 + 276 = 3*g + g + 3*h for g. -4 Solve 3*s = -4*c + 76, 2*s + 92*c + 3404 = 5*s + 304*c for s. 4 Solve 1519*x + 23*j - 9*j = 1515*x - 28, -x + 2*j = -4 for x. 0 Solve -c + 4*p + 40 = -24 + 3, -5*c - 3*p = 40 for c. 1 Solve 32*d + f + 23 = 0, 198*d + 5*f - 44 = 197*d for d. -1 Solve -q + 5*k = -36, -345*k - 48 = 4*q - 341*k for q. -4 Solve 56 = 3*i + 23*v - 19*v, 256*i - 4*v = 515*i - 258*i - 56 for i. 0 Solve 0 = 5*v - j + 3362 - 3469, 31 = v - 5*j for v. 21 Solve 0 = 5*z + 19*c - 105, -27528 + 27519 = -2*z - c for z. 2 Solve -3*w - 37874 + 37891 = -2*z, 9 = -4*z + w for z. -1 Solve 2*j + 212*o = 197*o - 71, 2*j + 10 = -2*o + 4 for j. 2 Solve 3*r - r = 3*d + 136, -177*r - 57 = -357*r + 177*r + d for r. 5 Solve -53442*r + 53447*r - x + 12 = 0, 0 = 3*r + 3*x + 18 for r. -3 Solve -123 = 4*c + 399*o - 394*o, 5*c = -2*o - 175 for c. -37 Solve o + 5*v = -22788 + 22791, -2*v = 3*o + 4 for o. -2 Solve 2*k - 7*k - 46 = -132*f + 109*f, 2*k = 8*f - 0*k - 16 for f. 2 Solve -430*c + 52 = -431*c + 4*q, 6*c - 5*q = 3*c - 65 for c. 0 Solve 2*s - 54 = 5*r, -3*r + 920*s - 919*s = 1 + 27 for r. -2 Solve -17852376*m + 17852381*m + 85 = 0, r = m + 12 for r. -5 Solve 0 = m - 38869*n + 38901*n + 29, -n + 11 = 4*m for m. 3 Solve -161 = 2*l + 225*y - 218*y, -48 = l - 3*y for l. -63 Solve -2*l = -2*x + 76, -7*x - 110403 + 110325 = l for l. -43 Solve f - 3*o + 150 = 5*f, -4*f - 2*o = -o - 0*o - 146 for f. 36 Solve 0 = 6*n + 3*v - 66, 35*n - 5*v = 40*n - 27 - 73 for n. 2 Solve -97*b = -50*b - 50*b - s + 255, -3*s = 58*b - 4930 for b. 85 Solve 130 = -5*c + 5*p + 35, 0 = -4*c - 3563*p + 3560*p - 41 for c. -14 Solve -30*u + 4*n = -174, -18*n + 20*n - 8 = -4*u for u. 5 Solve 5 = -4*d - 2*n + 3*n, -d - 19*n - 2*n = -9*n + 14*n + 290 for d. -4 Solve h - 55 = -3*h - n, -5*h + 25*n - 465 = 15*n - 4*n for h. 5 Solve -1613883*d + 1613882*d - 3*s + 7 = 0, 0 = d + 2*s - 9 for d. 13 Solve -5*z = -5*q - 105 + 40, 3*z + 2*q - 308 = -294 for z. 8 Solve 166*p - 16*p - 2*l + 711 = -30*p + 143, p + 101 = 7*l for p. -3 Solve 0 = -3*c - 6, -4*f + 487*c = 497*c + 36 for f. -4 Solve -16*x - 5*s + 41712 = -19*x + 41830, 3*s + 65 = -4*x for x. 1 Solve u = -3*a + 1, 9496*a = 9498*a + 38*u + 186 for a. 2 Solve -2*u + 6*s = -50, u - s - 4264 = -4257 for u. -2 Solve t - 3*l = -29, 0 = 683*t - 686*t - 33*l - 3 for t. -23 Solve 4*o - 2*w = -6*w - 88, -4*w = -37*o + 84*o + 1206 for o. -26 Solve -s - 2998*m - 2999*m = -5999*m - 14, s = 3*m + 21 for s. 0 Solve -32 = -4*m - l, -2*m + 43 - 27 = -2*m - 1724*l + 1726*l for m. 6 Solve 3*q = 4*o + 2022677 - 2022749, -4*q = -2*o + 46 for q. -4 Solve -2*k - 72 = -6*k + 4*m - 0*m + 8, 3*k + 6*m = -147 for k. -3 Solve -4*y - 3455 + 3445 = w, -2*y - 4*w = 26 for y. -1 Solve -18*r - 2*j + 60 + 38 = 0, -14*r - 66*j = -12*r - 67*j - 17 for r. 6 Solve -5*x + 45 = -5*c, 0 = -4*x + 404718*c - 404721*c + 8 + 7 for x. 6 Solve -22*g - 19 = r - 11 - 17, -3*g + 111 = -3*r for g. 2 Solve 184 = 4*v - 7*b, -5*v - 3*b = 5*b - 5 + 111 + 133 for v. -3 Solve -189405*p - 224 = t - 189411*p, t - 2*p + 72 = 0 for t. 4 Solve 7*q - 3*v - 29 + 101 = 10*q, -3*v + 70 = q for q. 1 Solve -2*g + 6 = 5*s + 32, -6*g + 2*g + 3*g = -30*s - 117 for s. -4 Solve -9*f + 10 = -y, 2*y - 185 = -4*f - 183 for f. 1 Solve -5*u + 47 = -0*u + 6*u + 9*k - 11*k, 5*k - 45 = -5*u for u. 5 Solve -49*m + 54*m + 5 = 0, -3*m - 3*m = -b + 8*m + 17 for b. 3 Solve -3*s + 9 = -2*c, -2*s - 44 = -11*c + 11*c - 18*c for s. 5 Solve -3*f - 3*a + 9 = 0, -2*f + 28971*a - 3 = 28976*a for f. 6 Solve 0 = -2*t + t - 4*a - 29, -t = -428*a + 430*a + 17 for t. -5 Solve -3*z + 15639*w - 15635*w + 4 = 0, -w = z - 6 for z. 4 Solve i + t + 27 = 0, 5*t + 8988 - 8868 = -2*i for i. -5 Solve -11 = -4*p - 4*g - 139, 3*g = -2*p - 58 - 7 for p. -31 Solve -845*d + 848*d = -15, 12 + 18 - 5 = -3*n - 2*d for n. -5 Solve -3*z - 1278 = 2*z - 1303, -9 = 4*f - 9*z for f. 9 Solve -735171*o + 735174*o = -2*l + 21, -4*o = 2*l - 20 for l. 12 Solve 3*a - o + 9091 = 9111, 5*o = -2*a + 36 for a. 8 Solve 2*c - 14 = 2*z, -4250*c + 4245*c + z + z + 14 = 0 for c. 0 Solve -4*s - 112 = -5*b, 3*b = s - 33211 + 33246 for s. -23 Solve -3*m = 15*g + 105, -33*m - 33*m + 85*m = -2*g + 23*m - 14 for g. -7 Solve -5*n - w = 2, 40*w + 38*w + 12 = 2*n + 77*w + 3 for n. 1 Solve 6*j - 3*d - 354 = 0, -d = 5*j + 5947 - 6256 for j. 61 Solve -463835*b + 2*i = -463837*b + 74, -4*i - 176 = -5*b for b. 36 Solve -2*v - 26 = 4*o, 5*o - 2*o + 0*v + 52 = 3*v - 11*v for o. -4 Solve -3*m + 0*m - 2*k - 26 - 23 = 0, 21*k - 19*k = -2*m - 36 for m. -13 Solve 6*a + 6*r - 84 = 0, 336 = 5*r + 331 for a. 13 Solve 10836 = -2*q - 722*t, 0*q + 2*q + 0*t - 9*t + 51 = -12*t for q. -3 Solve -48*h - 37*h + 4*q + 6*q = -8*h + 305, -21 = h + 2*q for h. -5 Solve 10*b + 1709 - 1757 = -2*a, 3*a = -4*b + 105 for a. 39 Solve 2*w + 5*t + 30 = 0, -4*t + 193 = 74*w - 66*w + 217 for w. 0 Solve -2 = -76*n + 90*n - 2*v + 2, 5*n - 6 = -3*v for n. 0 Solve 0 = 3*p - 4*v + 1, 4*p - 46562*v = -46567*v + 9 for p. 1 Solve -113*z + 121*z = 2*a + 60, -5*z + 7*z + 120 = -4*a for z. 0 Solve -142 = -82*p + 78*p + 16*m + 154, 2*m = -4*p - 46 for p. -2 Solve 5*b - 210 = 5*s, 0 = -3*s - 4635*b + 4633*b + 74 for s. -2 Solve -2*w = 2732*b - 2735*b + 36, -2*w - 16 = -13*b for w. -21 Solve 9*o + 5*m = 12*o + 44, -107*o - 2*m + 2882 = 3730 for o. -8 Solve -2*s - 2*n - 15571 = -15587, -n + 35 = -8*s for s. -3 Solve -2*v - 27 = 66*j - 64*j + 17, 38 = -3*j - 17*v for j. -24 Solve -27*w + 6*b - 80 = -31*w + 8, -2*w = 2*b - 30 for w. 1 Solve 2*i - 76 = -3713*p + 3709*p, -4*p - 60 = -2*i for i. 34 Solve -3*q = 1450*a - 1445*a - 55, -4*a + 30 = q for q. 10 Solve -16 = -269*n + 271*n - 4*c, -2*c = 4*n + 72 for n. -16 Solve 0 = a - 6*a - 165, -23*a + 157411 = 5*g + 158180 for g. -2 Solve 6*r + 5 + 52 = -4*f - 29, -78*r + 5*f - 8 = -75*r for r. -11 Solve -5*h - 3*u - 67 + 26 = 0, -4*h - 69*u - 413 = 86 for h. -4 Solve 3*w + 9 = -3*d, 8*d - 13 = 188*w - 187*w + 11*d - 0 for w. 2 Solve 14*c - 364 = 5*n, 5*n = -3*c + 4 - 12 + 86 for c. 26 Solve -4*y + 60 = -5*v, -182982*y = -182966*y + 2*v - 328 for y. 20 Solve -3*q + 348*v = 13954 - 12595, q + 5*v - 31 = 0 for q. 11 Solve 3*q - n - 78 = -16, 0 = 383*n - 380*n + 150 for q. 4 Solve 3*b - 904 = -145*v - 1037, 0 = 3*b - 5*v - 17 for b. 4 Solve 5*h + 15 = -q + 4 - 53, 2*h = 5*q - 4 for h. -12 Solve w - 3*i + 45 = 0, -59*w - 5*i + 9 + 12 + 4 = -59*w for w. -30 Solve 0*o + 271 - 265 = 2*o + 2*i, o = 5*i - 3 for o. 2 Solve -2*v - 1763 = -1767, q = 5*v - 18 for q. -8 Solve -5*n - 309 = 2*r - 259, 3*n = 4*n + 6*r + 150 for n. 0 Solve 2*x - 161*r - 8563 = 410*r, 0 = 3*x + 5*r + 78 for x. -1 Solve 97*h = 94*h - 5*k - 17, 0 = -5*h - 19*k - 71 for h. 1 Solve -12 = -2*i + 5*d + 7 - 5, 11*d = -22 for i. 2 Solve -2*v + 643 = -p + 619, -5*v = -2*p - 58 for v. 10 Solve 16112*m - 16110*m - 14 = -4*q, -4*m - 148 = -64*q + 112 for m. -1 Solve -219*m - 3*a - 204 =
{ "pile_set_name": "DM Mathematics" }
r of -131/120 and -163/1452. 14520 Calculate the common denominator of -111/3770 and -93/5278. 26390 What is the common denominator of 101/150 and -97/5100? 5100 Find the common denominator of -7/33 and -5/12. 132 Calculate the smallest common multiple of 80 and 10. 80 Find the common denominator of 109/90 and -143/12. 180 What is the least common multiple of 56 and 160? 1120 What is the least common multiple of 493 and 34? 986 Calculate the common denominator of -43/48 and -35/216. 432 Calculate the common denominator of -71/588 and -101/12. 588 Calculate the smallest common multiple of 429 and 117. 1287 What is the lowest common multiple of 4 and 3126? 6252 Calculate the common denominator of 139/120 and 16/75. 600 Calculate the least common multiple of 80986 and 2. 80986 Find the common denominator of 87/40 and -99/28. 280 Find the common denominator of -101/7188 and -55/12. 7188 Calculate the common denominator of -83/56 and -61/18. 504 What is the common denominator of -25/4 and 35/682? 1364 What is the smallest common multiple of 81 and 1080? 3240 Calculate the common denominator of -27 and 27/23. 23 Calculate the smallest common multiple of 572 and 130. 2860 Calculate the least common multiple of 44 and 6. 132 Calculate the common denominator of 1/4 and -143/12. 12 Find the common denominator of 52/315 and -67/180. 1260 Calculate the smallest common multiple of 55 and 2040. 22440 Calculate the common denominator of -91/10 and 61/5022. 25110 Calculate the least common multiple of 32 and 3284. 26272 What is the least common multiple of 1824 and 48? 1824 What is the common denominator of -137/66 and -1/418? 1254 What is the lowest common multiple of 2 and 294? 294 Find the common denominator of 43/126 and -77/162. 1134 Find the common denominator of 127/168 and -8/231. 1848 What is the common denominator of -7/1404 and 109/810? 21060 Calculate the common denominator of -103/234 and 10/429. 2574 What is the common denominator of -149/72 and 41/40? 360 Calculate the least common multiple of 14 and 28. 28 What is the lowest common multiple of 28 and 2940? 2940 What is the least common multiple of 160 and 2976? 14880 Find the common denominator of -85/496 and 55/32. 992 What is the least common multiple of 350 and 11? 3850 Calculate the smallest common multiple of 18 and 980. 8820 What is the smallest common multiple of 144 and 72? 144 Calculate the smallest common multiple of 48 and 4. 48 What is the least common multiple of 4 and 16? 16 Find the common denominator of -26/95 and -1/40. 760 Calculate the common denominator of -79/88 and 19/640. 7040 Calculate the lowest common multiple of 180 and 12. 180 What is the smallest common multiple of 774 and 33? 8514 What is the smallest common multiple of 175 and 9? 1575 Calculate the least common multiple of 28 and 26. 364 What is the lowest common multiple of 20 and 420? 420 What is the lowest common multiple of 22 and 1636? 17996 Find the common denominator of 14/465 and 21/1705. 5115 Calculate the common denominator of -99/260 and 7/78. 780 What is the common denominator of 44/5 and -69/29216? 146080 Calculate the lowest common multiple of 40 and 9. 360 What is the common denominator of 9/10 and -69/40? 40 What is the lowest common multiple of 1394 and 68? 2788 Calculate the least common multiple of 14 and 372. 2604 What is the lowest common multiple of 12 and 111? 444 Calculate the lowest common multiple of 20 and 84. 420 What is the least common multiple of 1121 and 4? 4484 Calculate the least common multiple of 195 and 255. 3315 Find the common denominator of -36 and -41/18. 18 What is the smallest common multiple of 27 and 459? 459 Calculate the lowest common multiple of 427 and 8. 3416 What is the common denominator of -11/2950 and 25/36? 53100 What is the smallest common multiple of 60 and 606? 6060 Calculate the smallest common multiple of 66 and 506. 1518 Calculate the least common multiple of 56 and 120. 840 Calculate the least common multiple of 975 and 450. 5850 What is the least common multiple of 336 and 189? 3024 Calculate the smallest common multiple of 7 and 35. 35 Find the common denominator of -25/27 and 26/27. 27 Find the common denominator of 23/1188 and -39/40. 11880 Find the common denominator of 51/148 and -8/37. 148 What is the common denominator of -85/18 and -22/25887? 155322 Calculate the least common multiple of 84 and 33. 924 What is the common denominator of 23 and -50/47? 47 Calculate the common denominator of -1/15 and -23/573. 2865 Calculate the common denominator of 1/1177 and -1/856. 9416 What is the least common multiple of 645 and 3? 645 What is the common denominator of -33/1448 and 127/12? 4344 What is the common denominator of -163/126 and 31/1890? 1890 What is the common denominator of -29/9 and 21/292? 2628 What is the lowest common multiple of 60 and 200? 600 What is the common denominator of -101/2 and 79/39374? 39374 What is the common denominator of -19/286 and -1/2? 286 What is the common denominator of 53/8 and -25/56? 56 What is the smallest common multiple of 357 and 102? 714 What is the lowest common multiple of 7656 and 2? 7656 What is the lowest common multiple of 1925 and 28? 7700 Calculate the common denominator of 107/204 and 13/2601. 10404 Calculate the common denominator of 5/12 and 85/3144. 3144 Find the common denominator of -57/224 and 21/8. 224 Calculate the smallest common multiple of 656 and 28. 4592 Calculate the least common multiple of 279 and 372. 1116 What is the lowest common multiple of 345 and 87? 10005 What is the common denominator of -17/3280 and 101/40? 3280 Calculate the common denominator of 67/27 and -1/9450. 9450 Calculate the common denominator of 13/3 and -71/939. 939 Calculate the smallest common multiple of 1316 and 36. 11844 Calculate the smallest common multiple of 264 and 168. 1848 Calculate the least common multiple of 192 and 48. 192 Calculate the least common multiple of 432 and 48. 432 Calculate the least common multiple of 187 and 44. 748 Calculate the smallest common multiple of 792 and 2574. 10296 What is the common denominator of -131/18 and 17/168? 504 Find the common denominator of 47/900 and 169/300. 900 Find the common denominator of -127/198 and -41/1089. 2178 What is the least common multiple of 264 and 176? 528 What is the lowest common multiple of 300 and 72? 1800 Find the common denominator of 121/42 and 50/33. 462 Calculate the smallest common multiple of 250 and 10. 250 Calculate the lowest common multiple of 63 and 308. 2772 Calculate the smallest common multiple of 23 and 1633. 1633 What is the lowest common multiple of 1710 and 10? 1710 What is the lowest common multiple of 442 and 5? 2210 What is the common denominator of 113/42 and -59/69? 966 What is the lowest common multiple of 138 and 12? 276 What is the common denominator of -83/42 and -127/42? 42 Calculate the common denominator of -83/294 and -151/294. 294 What is the lowest common multiple of 4147 and 6? 24882 What is the lowest common multiple of 538 and 4? 1076 Calculate the lowest common multiple of 22 and 1816. 19976 Calculate the smallest common multiple of 28 and 21. 84 What is the smallest common multiple of 64 and 28? 448 What is the lowest common multiple of 24 and 78? 312 What is the least common multiple of 402 and 2? 402 Find the common denominator of -97/104 and 13/2. 104 Calculate the lowest common multiple of 200 and 400. 400 What is the common denominator of -95/6 and 97/2560? 7680 Find the common denominator of -43/3328 and -89/16. 3328 What is the common denominator of -77/117 and -137/4008? 156312 What is the least common multiple of 1783 and 2? 3566 Find the common denominator of -71/262 and -25/2. 262 Calculate the least common multiple of 125 and 30. 750 What is the smallest common multiple of 180 and 56? 2520 What is the least common multiple of 752 and 11? 8272 Calculate the smallest common multiple of 9 and 30. 90 What is the common denominator of -117/70 and 97/238? 1190 Calculate the lowest common multiple of 158 and 12. 948 Find the common denominator of 31/8 and -21/376. 376 What is the common denominator of 23/411 and 109/42? 5754 What is the smallest common multiple of 57 and 66? 1254 Calculat
{ "pile_set_name": "DM Mathematics" }
= m**2 - 24*m + 54. Suppose -b - 2*b = -69. Is 6 a factor of t(b)? False Suppose 4 - 5 = -y. Let n(m) = 48*m**3 - m**2 + m. Is 16 a factor of n(y)? True Let f = 4227 + -655. Is 38 a factor of f? True Let w be 1 + -17 + (2 - 0). Let h = w - -17. Is -21*h/(63/(-6)) even? True Suppose 0 = -4*q + 13 + 51. Is 60*-10*(-4)/q a multiple of 13? False Let y(b) = 5*b**2 + 2*b - 318. Let i(a) = -a**2 + 1. Let n(g) = -6*i(g) - y(g). Is 39 a factor of n(0)? True Let q(c) = -c**2 + 10*c - 1. Let r be (2 + -1)/((-2)/(-28)). Let t = -6 + r. Does 5 divide q(t)? True Let t = -114 - -162. Let h be (-15 - -3)/4 - -51 - 3. Let k = h + t. Is k a multiple of 14? False Let b be 3/(2/(-12)*(-4)/(-6)). Let k = b + 178. Is k a multiple of 19? False Let g(l) = 7*l**2 - 158*l + 19. Is g(25) a multiple of 74? True Let f be (-10)/4*-1*108. Suppose 2*b - 450 = -5*z, -3*z + 5*b - b + f = 0. Is 9 a factor of z? True Suppose -q + 3118 = 2*v - 2246, v - 2660 = 5*q. Is v a multiple of 134? True Let p(s) = 3*s - 20. Let y be p(7). Suppose 0 = -j + 2 + y. Does 3 divide j? True Does 39 divide (-232)/(-60) + -4 + (-21021)/(-45)? False Suppose 0 = 4*j - 16, -2*d - 5*j = 3*d - 8625. Does 58 divide d? False Suppose -16 = -8*s + 4*s. Suppose 135 = 5*d - 3*u, s*d = -2*u - 2*u + 108. Is 33 a factor of 18/4*396/d? True Suppose -3*d + 1333 + 3541 = p, 8142 = 5*d - 3*p. Is d a multiple of 44? False Does 35 divide (22/(-8))/11 + (-3921)/(-4)? True Let r(g) be the third derivative of g**8/20160 - g**7/840 + 13*g**6/720 - g**5/30 - 5*g**2. Let c(q) be the third derivative of r(q). Does 20 divide c(9)? True Let w be 36/14*1*42. Is ((-3)/2)/((-9)/w) a multiple of 7? False Let j = -28 - -32. Suppose 4*k = i - 54, -2*i + k = -j*i + 72. Is i a multiple of 5? False Let m(d) = -6*d - 1. Let y(p) = 9 - 6*p**2 + 7*p - 7*p**2 - 4 + 14*p**2. Let x be y(-4). Is 11 a factor of m(x)? False Suppose -5*i - l - 55 = 0, 4*i - 3*i = -2*l - 20. Let x = -3 - i. Suppose x = -n + 31. Is 12 a factor of n? True Let m be 37 - ((3 - 1) + -3). Let d = 64 - m. Let q = 37 - d. Is q a multiple of 10? False Suppose 0 = -3*v + 4*o + 22, 4*v + 5*o - 67 = v. Let u(z) = -z**2 + 21*z - 4. Does 13 divide u(v)? False Suppose 2*x + 2*c = -3*x - 13, 2*x + 5*c + 22 = 0. Let k be (3 + x - 1) + 1. Does 6 divide ((-19)/(2/k))/(-1)? False Let n = -113 + 156. Let s(o) = -2*o**2 - 4*o + 5. Let f be s(-5). Let c = n + f. Is c a multiple of 10? False Let d be -4*3/(-36)*3. Let u be -4*d + -4 + 7. Let n(r) = -50*r**3 + 2*r**2 + r. Does 9 divide n(u)? False Suppose 4*t - 3100 = -2*w - 3*w, 2*t = -5*w + 1540. Is 15 a factor of t? True Let d = -82 - -404. Does 46 divide d? True Let s(r) be the second derivative of r**3/2 - r**2/2 + 4*r. Let c be (4/(-6))/((-3)/36). Is 14 a factor of s(c)? False Let y = 653 - 194. Is y a multiple of 8? False Let b = 280 - 245. Does 2 divide b? False Let r = 3101 - 1661. Is 96 a factor of r? True Let d = 90 + 368. Is d a multiple of 26? False Let l(h) = -h - 9. Let x be l(-10). Let a = 1 - x. Let j = 36 + a. Is j a multiple of 10? False Let n(l) be the first derivative of -l**3/3 + 19*l**2/2 + 2*l + 7. Is 9 a factor of n(14)? True Suppose -2*w + 4 = 0, -3*a - 5*w = -162 - 175. Let j(h) = 14*h + 2. Let u be j(-5). Let b = u + a. Is b a multiple of 13? False Suppose 2*x + 2 = 3*x. Let c(h) = 9*h**3 - 3*h**2 + 4*h - 1. Let u be c(x). Suppose -u = -2*w + 5*q, 4*q - 3 = 1. Is w a multiple of 7? False Let k(m) = -16*m - 14. Let v = -6 + 11. Let x(h) = -8*h - 7. Let u(p) = v*x(p) - 2*k(p). Does 14 divide u(-9)? False Let z(v) = 82*v**2 + 9*v + 48. Does 69 divide z(-3)? True Let u = -31 - -19. Let a = 30 + u. Is a a multiple of 2? True Let u = 32 - 100. Let z = u - -121. Is z a multiple of 16? False Suppose -25 = 2*d - 7*d. Suppose 2*j = -d*w + 97, 4*j = -5*w + j + 93. Suppose -4*x - 48 = -p, -p + 5*x - w = -2*p. Is p a multiple of 12? True Suppose 29*w - 632 = -3*i + 25*w, 0 = -3*i - 3*w + 627. Is i a multiple of 3? True Suppose 10 = 2*y + 2*o, 10 = -4*y + 6*o - 4*o. Suppose y = -5*l - 3*j + 49, l = 2*l + 4*j - 3. Does 2 divide l? False Suppose 15*k - 12*k - 4*s - 693 = 0, -1163 = -5*k + 4*s. Is k a multiple of 36? False Suppose -z + 653 = 3*s, -13*z + 8*z - 1055 = -5*s. Is 27 a factor of s? True Let j(q) = -q**3 - 10*q**2 + 12*q + 15. Let f be -1 + (1 - 2) - 9. Let c be j(f). Suppose o - c*o = -30. Is o a multiple of 2? True Suppose -2 = 2*k + 22. Let z(a) = a + 17. Let g be z(k). Suppose r - 2*x = 21, g*r + 0*x = 5*x + 115. Is r a multiple of 5? True Let s be 390/25*15/6. Suppose 0 = 5*c + s + 261. Let w = -34 - c. Is w a multiple of 7? False Let o = 46 - 21. Let l = o - -13. Is 12 a factor of l? False Suppose -46*o + 60*o - 15428 = 0. Is o a multiple of 58? True Let j(n) = 63*n**2 - 62*n - 5. Does 14 divide j(5)? True Let m(z) = z**3 - 10*z**2 + 3*z + 4. Let t(p) = -p**2 - 12*p + 4. Let x be t(-12). Suppose 2*i + 0*i + 4*g = 32, 3*i - 18 = x*g. Does 10 divide m(i)? False Suppose -d = g - 410, -g - 5*d + 422 = -0*g. Is 9 a factor of g? False Suppose -2*l - 2*l + 464 = 0. Let p = l - -66. Suppose 0 = 3*z + b - 287, -2*z + 2*b - 5*b + p = 0. Is z a multiple of 23? False Let s(v) = 3*v**3 - 3*v**2 - 5*v + 16. Is s(4) a multiple of 5? True Suppose -13*r = 14*r - 51030. Does 18 divide r? True Let j(t) = 2*t**3 + 3*t**2 + t + 4. Let h(o) = -3*o**3 - 2*o**2 - o - 3. Let m(u) = -4*h(u) - 3*j(u). Does 23 divide m(2)? True Let y be (-7)/(63/(-438)) + (-6)/9. Suppose 4*m - 2*m = 3*c - 34, 4*c - 4*m - y = 0. Is 2 a factor of c? True Suppose -5*l = -8*l + 6. Suppose 7*q = l*q - 270. Let b = 18 - q. Does 12 divide b? True Is 64 a factor of ((-792)/(-231))/((-2)/(-224))? True Suppose 4*z - 121 = 3*z. Let f = z + -42. Is 31 a factor of f? False Suppose 3*k - 2*y = 4*k - 1858, k - 1873 = -5*y. Is k a multiple of 44? True Let q(y) = 42*y + 126. Let p(g) = 7*g + 21. Let v(u) = -35*p(u) + 6*q(u). Is 30 a factor of v(22)? False Let q be (29 - 0)*(1 - 0). Suppose -q = -3*s - 2. Let m(p) = -p**2 + 12*p - 10. Does 7 divide m(s)? False Let r(h) = h**2 + h - 6. Suppose 3*z - 4 - 11 = 0. Is r(z) a multiple of 6? True Suppose -2 = -3*v + 4. Suppose -80 = v*i - 0*i. Let m = 69 + i. Does 23 divide m? False Let d = -1082 - -2119. Is d a multiple of 5? False Let t be (-245)/(-14)*12/(-15). Is ((-11)/(-2))/((-7)/t) a multiple of 8? False Let k be 3619/5 + -3 - (-1)/5. Suppose 4*x - 287 = k. Is x a multiple of 18? True Let b be 6/6 + 16/2. Suppose -1193 = -b*n - 77. Is 6 a factor of n? False Suppose 3 - 6 = -3*n, 5 = -4*o + 5*n. Suppose o = 3*u - 5*b - 23, -u = 2*u + b - 17. Is u a multiple of 4? False Suppose 0 = 2*f + 3 - 13. Suppose -2*r = -f - 61. Does 4 divide r? False Let i(y) = y**2 - 6*y - 11. Suppose 3*d - 26 = -2. Let l be i(d). Suppose -4*b = -n + 4, -2 + 88 = l*n + 2*b. Is 8 a factor of n? True Let r be (1/3)/(2/618). Let p = r - 57. Does 9 divide p? False Suppose 1322 = 9*s - 3808. Is 10 a factor of s? True Let v(j) = 7*j**2 + 7*j. Suppose 0 = 4*g - 12. Is v(g) a multiple of 21? True Suppose 13 = 3*z - 4*l, -11*l + 2 = -z - 16*l. Is z a multiple of 3? True Let z(v) = -7*v + 21. Let a be z(3). Suppose a = 5*w - w - 5*f - 344, -4*w - f + 368 = 0. Is w a multiple of 3? False Suppose 5*u = -20, 3*v - 2*u + 3 = 26. Suppose -3*f + 344 = 4*g, 4*g - v*f + 2*f - 344 = 0. Does 23 divide g? False Suppose 25*w = 29*w - 12. Suppose -2*j - w*j = -280. Does 14 divide j? True Let l = -134 + 167. Is l a multiple of 12? False Suppose 2*j + 0 + 34 = 0. Suppose -z - 12 + 59 = 0. Let i = z + j. Does 14 divide i? False Let x = -25 + 23. Let i(w) = -4*w**3 + w**2 + 6*w + 4. Let p(h) = 3*h**3 - h**2 - 5*h - 3. Let f(d) = -2*i(d) - 3*p(d). Is 7 a factor of f(x)? True Suppose -2*u - 7 = -1. Is u + 9 + -3 - -82 a multiple of 18? False Is ((-6)/(-10))/(21/26565) + -6 a multiple of 3? True Let s(n) = n**3 - 3*n**2 + 4*n + 8. Let f be s(5). Suppose 0 = -4*a + 2*a + f. Does 2 divide a? False Let c(w) = -2*w**3 - 3*w**2 + 2*w. Let h be c(3). Let b = h - -127. Is b a multiple of 13? True Suppose 3*o = -4 - 2, -2542 = -5*t - 4*o. Is 51 a factor of t? True Let p be (-596)/6*15/(-10). Suppose 0*a - y = 5*a - p, 2*y = 5*a - 137. Does 29 divide a? True Let x(d) = 2*d**2 - 6*d - 22. Does 43 divide x(9)? True Let c = -45 + 70. Is c a multiple of 12? False Let j(k) = 4*k**2 + 8*
{ "pile_set_name": "DM Mathematics" }
r) = 8*c(r) - 3*f(r). Let m = -30570 - -30573. Give x(m). 3 Let f be -62 + 63 + -4*(-6)/(-4). Let x(i) = 8*i**2 - 10*i - 7. Let w(c) = 3*c**2 - 3*c - 2. Let h(n) = -11*w(n) + 4*x(n). Calculate h(f). 4 Let q(o) be the first derivative of -o**5/120 - 3*o**4/8 + 46*o**3/3 - 35. Let z(j) be the third derivative of q(j). What is z(-8)? -1 Let j(y) = -y - 23. Let o(g) = -11*g**2 - 70*g - 9. Let u be o(-6). Suppose u = -40*t - 705. What is j(t)? -5 Suppose 14*k - 16*k + 170 = 0. Let a = -81 + k. Let c(h) = -3*h + 4. Determine c(a). -8 Let s(y) = 20*y**2 - 23. Let i(o) = 57*o**2 - 2*o - 68. Let l(z) = -4*i(z) + 11*s(z). Calculate l(-2). -29 Let f(n) = n**2 + 8*n - 10. Let g(r) = r**3 + 8*r**2. Let b be g(-8). Suppose 0 = 4*w - 4*y + 56, 2*w - 5*y = -b*w - 43. Give f(w). -1 Suppose 1062 = 5*w + 1042. Let u(g) = 2*g**3 - 5*g - 6*g**2 + w + 2*g - 2*g - 3*g**3. Let i = 1 - 5. Calculate u(i). -8 Let h(i) = -9*i**3 + 34*i**2 + 52*i + 2. Let n(k) = 11*k**3 - 37*k**2 - 59*k. Let q(z) = 6*h(z) + 5*n(z). Determine q(-18). 30 Let r(k) = -k**3 + 7*k**2 - 3*k + 10. Suppose s - 12 = 5*t - 59, 0 = 10*s + 70. Calculate r(t). -78 Let t(g) = 2*g**3 - 21*g**2 - 10*g - 4. Let b = 16168 - 16157. What is t(b)? 7 Suppose 26*r = 22*r - 20. Let u = -29 + 32. Let x(z) = -5*z**2 - 26*z - z**u - z**2 + 22*z - 6. Give x(r). -11 Let j(z) = -z + 16. Let h be j(-2). Let p(f) = -6*f**3 - 9*f + 2 + h*f**3 - 11*f**3 + 0*f**3 + 8*f**2. Let c = 7 + -16. Give p(c). 2 Let j(s) be the first derivative of -s**3/3 - 3*s**2 + 22*s - 1909. What is j(7)? -69 Let f(a) = 6*a + 7. Let i(w) = w**3 + 4*w**2 - 39*w - 153. Let g be i(-6). Give f(g). 61 Let g(a) = -7 + 8 + 2*a - 5 + a**2. Let z = 1952 - 1956. Give g(z). 4 Let j(p) = -3*p**3 - p**2 + 2*p + 2. Let m(r) = 2*r**3 - 7*r**2 - r - 3. Let u(k) = -j(k) - m(k). Give u(-9). -71 Let i(f) = f**2 + 4*f + 2. Let o be 1/(8 - 7) - 1*-1. Suppose -5*j = 4*m + 29, -m - j - 5 = -o*j. Calculate i(m). 14 Let h(w) = w**2 + 7*w + 4 + 3 - 1. Let d = -24035 + 24028. Give h(d). 6 Let u(m) be the first derivative of m**3/3 - m**2 - m + 3. Let g = -52 + 55. Give u(g). 2 Let k(d) = 2754*d**3 + 10 - 3*d - 5*d + 8*d**2 - 2755*d**3 + 0*d. Calculate k(7). 3 Suppose -16 = -4*w - 2*d, -w + 6*d - 3*d - 10 = 0. Let u be (-17)/((-102)/(-60)) + -1 + w. Let t(j) = -j**3 - 9*j**2 + 3. Give t(u). 3 Let p be -2 + (-45)/5*1. Let v be (825/20)/p*4. Let k(j) = -j - 7. Determine k(v). 8 Let s(n) = 11*n - 2. Let w(j) = -13*j + 3. Let r(i) = 7*s(i) + 6*w(i). Calculate r(1). 3 Let g(b) = 3*b - 60. Let n be g(20). Let a(p) be the first derivative of p**3/3 - 30*p - 2. What is a(n)? -30 Let s(r) = -r**2 - 2*r + 3. Let v(n) = -8*n**3 - 3*n**2 - 5*n. Let x(y) = 9*y**3 + 4*y**2 + 5*y + 1. Let o(k) = 5*v(k) + 4*x(k). Let q be o(1). Give s(q). -5 Let t be (-3 - -1)*2/(-2). Suppose 1 = t*r - 4*d - 3, 5*d = 0. Let j(g) = -3 - 7*g**r - 4*g + 9*g + g**3 + 0*g**2. Give j(6). -9 Let u(z) be the third derivative of z**5/60 - z**4/3 - z**3 + 2*z**2 - 4*z - 9. Let q be (-1)/((7/6)/(-7)). Give u(q). -18 Let q(f) = -f**2 - f + 21. Let x be ((-80)/(-3))/(-4) + 5 + (-64)/12. What is q(x)? -21 Let l(t) = -90*t**3 + 70*t**2 - 20*t - 84. Let i(d) = -26*d**3 + 22*d**2 - 7*d - 28. Let f(g) = -7*i(g) + 2*l(g). Calculate f(6). 10 Let z(t) = -7*t + 7. Suppose 0 = o + 1, 5*r + 4*o + 9 = -0*o. Let j(l) = 2*l + 1. Let k(f) = r*z(f) - 3*j(f). Determine k(7). -3 Let j(i) = i**2 - 17*i - 9. Suppose 30*c - 345 = 41*c - 34*c. Determine j(c). -39 Let p(v) = -v**3 + 91*v**2 - 263*v - 81. Let f be p(88). Let s(w) = -w**3 + 12*w**2 + 16*w - 5. Let y(u) = u**2 + u. Let g(q) = -s(q) + 6*y(q). Calculate g(f). -16 Suppose 0 = -5*g + 10, -1 = -3*r + g - 6*g. Let h(t) be the second derivative of t**5/20 + t**4/6 + t**3/6 + t**2 - 2473*t. Calculate h(r). -10 Suppose 0*s - 5*s - 30 = 0. Let b(i) be the first derivative of -i**2 - 5*i + 8057. Determine b(s). 7 Let m(d) be the first derivative of 1/4*d**4 - 2*d - 77 + 1/3*d**3 - 1/2*d**2. Give m(0). -2 Let g be (90/36)/((-10)/(-8)). Let c(i) = -12*i**2 + 13*i + 21*i**g - 3 - 5*i + 0*i**3 + i**3. Calculate c(-8). -3 Let q = 5 - 1. Let a(k) be the second derivative of k**6/360 - k**5/30 - k**4/12 + 28*k**3/3 - k + 55. Let o(j) be the second derivative of a(j). What is o(q)? -2 Let j(z) = 1 + 7036*z - 2*z**3 - 9 - 7011*z + 8*z**2 - 3. Let w be j(6). Let q(y) = -y**2 - 6. Calculate q(w). -31 Let r(s) = 11*s + 45. Let t(f) = -45*f - 185. Let w(n) = 13*r(n) + 3*t(n). What is w(-7)? -26 Let q(f) = -f - 5. Let h(a) = a**3 + 10*a**2 - 10*a. Let j(g) = -17*g + 57. Let t be j(4). Let k be h(t). Determine q(k). 6 Let f(y) = -116 + 76 + 30 - 2*y + y. Give f(7). -17 Let n(z) = -z**3 - 4*z**2 - 19*z - 36. Let u be n(-3). Let s(p) = -6*p + 82. Give s(u). 10 Let k(l) be the first derivative of -4/3*l**3 + 1/4*l**4 + 7*l - 5*l**2 + 95. Determine k(6). 19 Let s(j) = -23 + 201*j - 399*j + 197*j + j**2 + 13. Give s(0). -10 Suppose 3*l - 3*r = 18, 5*l - 13*r = -11*r + 42. Let c(u) = -9*u + 92. Calculate c(l). 2 Let y(g) be the second derivative of -g**6/120 - 7*g**5/60 + g**4/24 + 5*g**3/6 - 90*g**2 - 3*g - 23. Let i(c) be the first derivative of y(c). Determine i(-7). -2 Let s(l) be the first derivative of 7*l**2/2 + 146*l + 821. Calculate s(-21). -1 Let c(w) = -8*w - 118. Let r = 4723 + -4739. Determine c(r). 10 Let z(y) = -y + 17. Suppose -5*q - 4*m + 14 = 0, -55 = -5*q + 2*m - 17. Determine z(q). 11 Let s(x) = 2*x - 2*x**3 + 4*x**2 + 15149 - 15153 - x**3. Give s(-2). 32 Let l(y) be the third derivative of -y**5/60 - y**4/4 - 2*y**3/3 - 1444*y**2 - 3. Let w(t) = 0*t - 1 - t + 3*t. Let k be w(-1). Determine l(k). 5 Let m(i) = -7*i - 117. Let h(v) = 4*v**2 - 103*v + 633. Let z be h(11). Determine m(z). -5 Let k(z) = -3*z**2 + 4. Let a = 10168 + -10170. What is k(a)? -8 Let q be 4 - 4 - 0 - -4. Suppose -q*h = -3*d - 38, -h + 3*h = -3*d + 28. Let a(u) = -u**2 + 12*u - 9. Calculate a(h). 2 Let o(w) be the second derivative of -w**4/6 - w**3/6 + w**2/2 + 10*w. Let i = 3808 + -3810. What is o(i)? -5 Let s(j) = -857 - 7*j + 1236 - 379. Suppose -4*v = -5*v - 68. Let g be v/(-18) - 8/(-36). What is s(g)? -28 Let h(a) = -a + 11. Let p be (-1 - -7)/(6/(-4)). Determine h(p). 15 Let s(x) be the third derivative of -1/24*x**4 + 1 + 0*x - 5/6*x**3 - 11*x**2. Let t = 0 + -4. What is s(t)? -1 Let w(n) = 3*n + 24. Let v be w(-7). Let j(h) be the first derivative of -3*h**2 + h + 4 + h - 6*h + 5*h. Give j(v). -17 Let d(a) = -40 - 45*a - 87*a - 81 + 9*a - a. Give d(-1). 3 Let m(d) be the third derivative of -d**6/24 + d**5/12 - 3*d**4/8 + 5*d**3/6 + 94*d**2. Let l(x) = -x**3 - x + 1. Let t(g) = 4*l(g) - m(g). Calculate t(4). 3 Let b(s) = -52*s. Let k(y) = -381*y - 10. Let a(t) = 7*b(t) - k(t). Determine a(-7). -109 Let s(k) be the second derivative of k**4/12 - k**3/3 - k. Suppose 1022 = 708*z - 715*z. Let o be z/(-50) - (-156)/1950. Calculate s(o). 3 Let b(v) = 458550*v - 19 - 15 - 458545*v. Calculate b(10). 16 Let y = 25 - 26. Let d(m) = -63*m - 61*m - 62*m + 188*m + 7*m**2 + 1. Determine d(y). 6 Let t(c) = -6*c**2 - 8 + c**3 + 10 - 6 + c. Let k be (-8)/((-80)/45)*40/30. Give t(k). 2 Let k(m) = -m**2 - 12*m + 1. Let t = 781 - 789. Let x be (15*42/120)/(3/t). Determine k(x). -27 Let t(g) = -g**3 + 7*g**2 - 4. Let d = 23 + -21. Suppose m + 0*m = -5*o + 13, -d*m + 2 = 2*o. Suppose 3*v - 19 = -u, v + 5*u = -o*v + 18. Calculate t(v). -4 Let k(v) = 21*v - 32. Let n be k(1). Let j(s) = -s - 3. Let g be j(n). Let q(o) = o**3 - 9*o**2 + 7*o + 2. What is q(g)? -6 Let a = -37 - -43. Let d(g) be the first derivative of 2*g**2 - 25*g + 12. Calculate d(a). -1 Let g(d) = d**2 + 14*d + 44. Let b = -2646 - -2636. Calculate g(b). 4 Let y be 8*((-3)/(-4))/(-1). Let n(g) be the second derivative of g**3/6 + 3*g**2/2 + 7*g + 657. What is n(y)? -3 Let p(w) be the first derivative of -2 + w - 1/2*w**2. Give p(-1). 2 Let m(v) = 14*v + 1. Let h(t) = t + 1. Let f be 6/4 + 6/(-48)*4. Let d(j) = f*m(j) - 2*h(j). Calculate d(2). 23 Let j = -10802 - -10790. Let m(p) = 4*p + 58. What is m(j)? 10 Let z(r) = 2*r + 8. Suppose 14*p = c + 13*p + 205, 3*c + 609 = p. Let i = 196 + c. Calculate z(i). -4 Let g(j) = 1029*j**3 - 1027*j**3 + 15 - 19*j**2 + 2*j - 3. Let o(x) = x**3 - 9*x**2 + x + 6. Let z(w) = 2*g(w) - 5*o(w). What is z(7)? -13 Let v(l) = -l**3
{ "pile_set_name": "DM Mathematics" }
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7 What is the tens digit of 18608? 0 What is the units digit of 1816801? 1 What is the ten thousands digit of 39708? 3 What is the ten thousands digit of 5479135? 7 What is the thousands digit of 5441313? 1 What is the hundreds digit of 2597295? 2 What is the tens digit of 3703731? 3 What is the hundred thousands digit of 5621541? 6 What is the ten thousands digit of 10859158? 5 What is the tens digit of 225130? 3 What is the millions digit of 12160512? 2 What is the hundreds digit of 10662928? 9 What is the millions digit of 2517034? 2 What is the thousands digit of 956292? 6 What is the units digit of 3996847? 7 What is the hundreds digit of 4365073? 0 What is the units digit of 133683? 3 What is the thousands digit of 2006275? 6 What is the hundreds digit of 293547? 5 What is the hundreds digit of 1152317? 3 What is the units digit of 52037? 7 What is the thousands digit of 942598? 2 What is the hundred thousands digit of 241040? 2 What is the thousands digit of 6238623? 8 What is the tens digit of 44379327? 2 What is the units digit of 48730? 0 What is the millions digit of 10004385? 0 What is the tens digit of 120448? 4 What is the units digit of 373570? 0 What is the thousands digit of 64893? 4 What is the ten thousands digit of 593463? 9 What is the ten thousands digit of 227670? 2 What is the tens digit of 1318453? 5 What is the units digit of 159562? 2 What is the ten thousands digit of 10289345? 8 What is the tens digit of 15416816? 1 What is the tens digit of 419819? 1 What is the hundreds digit of 9621678? 6 What is the hundred thousands digit of 363396? 3 What is the tens digit of 6902976? 7 What is the hundred thousands digit of 2323511? 3 What is the units digit of 944609? 9 What is the hundred thousands digit of 342794? 3 What is the units digit of 174696? 6 What is the hundreds digit of 10124711? 7 What is the tens digit of 1117893? 9 What is the tens digit of 194731? 3 What is the tens digit of 147127? 2 What is the thousands digit of 165025? 5 What is the hundreds digit of 973330? 3 What is the thousands digit of 174027? 4 What is the units digit of 4368043? 3 What is the millions digit of 3488408? 3 What is the ten thousands digit of 2044634? 4 What is the tens digit of 46127? 2 What is the units digit of 1650360? 0 What is the units digit of 13238286? 6 What is the millions digit of 2672512? 2 What is the tens digit of 19284841? 4 What is the millions digit of 2158322? 2 What is the tens digit of 563338? 3 What is the ten thousands digit of 911615? 1 What is the hundred thousands digit of 220253? 2 What is the hundreds digit of 4685740? 7 What is the units digit of 359173? 3 What is the ten thousands digit of 1006329? 0 What is the hundred thousands digit of 1963004? 9 What is the thousands digit of 1153? 1 What is the thousands digit of 1034232? 4 What is the units digit of 102767? 7 What is the ten thousands digit of 961699? 6 What is the units digit of 17323889? 9 What is the units digit of 318961? 1 What is the hundred thousands digit of 14576619? 5 What is the hundred thousands digit of 371990? 3 What is the ten thousands digit of 1760294? 6 What is the hundred thousands digit of 1701321? 7 What is the units digit of 799894? 4 What is the tens digit of 707210? 1 What is the hundred thousands digit of 150164? 1 What is the units digit of 7940302? 2 What is the hundreds digit of 101412? 4 What is the thousands digit of 4815178? 5 What is the tens digit of 2014062? 6 What is the hundreds digit of 3345484? 4 What is the hundreds digit of 33172187? 1 What is the hundred thousands digit of 693090? 6 What is the units digit of 6320388? 8 What is the ten millions digit of 19982124? 1 What is the tens digit of 4894234? 3 What is the thousands digit of 1111810? 1 What is the hundreds digit of 168842? 8 What is the ten thousands digit of 130553? 3 What is the hundred thousands digit of 1049890? 0 What is the ten thousands digit of 6142090? 4 What is the millions digit of 9971492? 9 What is the thousands digit of 1587838? 7 What is the units digit of 3350821? 1 What is the thousands digit of 405691? 5 What is the millions digit of 7962102? 7 What is the units digit of 409318? 8 What is the hundreds digit of 379432? 4 What is the thousands digit of 7347168? 7 What is the thousands digit of 3237886? 7 What is the hundreds digit of 31891816? 8 What is the thousands digit of 1016894? 6 What is the units digit of 10008866? 6 What is the hundreds digit of 356825? 8 What is the units digit of 261634? 4 What is the millions digit of 2813740? 2 What is the tens digit of 343556? 5 What is the millions digit of 1073345? 1 What is the thousands digit of 2086077? 6 What is the units digit of 165427? 7 What is the hundred thousands digit of 1774014? 7 What is the tens digit of 8068812? 1 What is the units digit of 538064? 4 What is the thousands digit of 159019? 9 What is the units digit of 41560? 0 What is the units digit of 4094622? 2 What is the hundred thousands digit of 9715361? 7 What is the ten thousands digit of 12117410? 1 What is the units digit of 440357? 7 What is the thousands digit of 7398205? 8 What is the hundred thousands digit of 149637? 1 What is the tens digit of 881300? 0 What is the thousands digit of 517054? 7 What is the tens digit of 10033174? 7 What is the units digit of 5005339? 9 What is the tens digit of 6615440? 4 What is the units digit of 77290? 0 What is the hundred thousands digit of 325970? 3 What is the hundreds digit of 169102? 1 What is the hundred thousands digit of 328450? 3 What is the hundred thousands digit of 9039582? 0 What is the hundreds digit of 256? 2 What is the millions digit of 1415376? 1 What is the hundreds digit of 4249936? 9 What is the hundreds digit of 684069? 0 What is the units digit of 323305? 5 What is the hundreds digit of 838477? 4 What is the ten thousands digit of 503772? 0 What is the hundred thousands digit of 6825920? 8 What is the ten thousands digit of 6634488? 3 What is the ten thousands digit of 702115? 0 What is the hundred thousands digit of 1891961? 8 What is the hundreds digit of 738173? 1 What is the millions digit of 2383801? 2 What is the thousands digit of 12555? 2 What is the thou
{ "pile_set_name": "DM Mathematics" }
o. -3 Solve 0 = -5*b - 5*j - 20, -2*b = 3*j + 1 + 6 for b. -5 Solve -l = -n + 183 - 188, -5*l = -4*n - 25 for n. 0 Solve 5*c + 5 = -q, 8 = 2*q - 4*c + 5*c for q. 5 Solve 2*s + 7 + 9 = 3*d, -4*d = -4*s - 24 for d. 4 Solve 35 = 2*w + 5*z, z - 3*z - 5 = -3*w for w. 5 Solve -2*c = t + 4, 3*t + 10*c = 7*c for t. 4 Solve 48*z - 1 = 46*z - 3*q, 4 = -5*z - q for z. -1 Solve 2*q - g + 2 - 6 = 0, 5*q - g - 10 = 0 for q. 2 Solve 11*r - 7*r + 18 = -c, 5*r + 27 = -2*c for r. -3 Solve 0 = -2*g - 4*k - 4, -3*g - 5*k - 624 = -616 for g. -6 Solve -2*m - m - 3*g = 24, -2*m = -5*g - 19 for m. -3 Solve -3 = -y - 6*p + 7*p, 0 = 3*y + 4*p + 19 for y. -1 Solve 16 = 4*t - 4*s, 0*t - 14 = -3*t + 4*s for t. 2 Solve -b - 3*v + 4 = 0, 9*b - 2*v - 19 = 14*b for b. -5 Solve -3*p + 2 = u - 0, -5*p = u for u. 5 Solve 4*f + 3 = 3*t, 0 = -2*t - 100*f + 96*f + 22 for t. 5 Solve 4*q - 5*j - 19 = q, 4*j = -3*q - 26 for q. -2 Solve 3 = 5*r - 3*m, -2*r + 5*r = -5*m - 5 for r. 0 Solve -11 = 4*n + 3*g + 8, 5 = -g for n. -1 Solve 5*j - 31 = 3*l - 5*l, -5*j + 13 = -4*l for j. 5 Solve -f + 2*m - 16 = 6*m, 4*f = -2*m - 8 for f. 0 Solve 8 = 4*y, 2*z - y - 6 = -2 for z. 3 Solve 0 = -3*t + 4*g - 13 + 17, -2*g = -2*t for t. -4 Solve 0 = 5*a - 4*j - 11, 3*a + 15 = 8*a - 5*j for a. -1 Solve -q + 4*p + 0 + 10 = 0, 0 = -3*q + 3*p + 3 for q. -2 Solve -25 = q - 4*m, -2*q + 3 = -3*m + 28 for q. -5 Solve 5*v = 4*x - 4 - 1, -5*x = v + 30 for x. -5 Solve -4*p = t - 18, -6*p + 7 = -t - 5*p for t. -2 Solve 19 = -c - 5*o, 0 = -c + 3*o - 0 + 5 for c. -4 Solve 0 = 3*n - 11*w + 14*w - 3, 23 = 5*n - 4*w for n. 3 Solve -5*p + 3*r - 2 = 0, 0 = 3*p - 2*r + 2 - 0 for p. 2 Solve z + 0*m = -2*m, -4*z - 10 = -2*m for z. -2 Solve a - 10 = -2*m - 3*a, 3*m - 5*a = -29 for m. -3 Solve 4*c - 3*s - 3 = 0, c + 23 = 2*s - 6*s for c. -3 Solve 4*a = -5*h + 3*a, 5*a = 2*h for h. 0 Solve -3*h = c - 3 + 14, -21 = 3*h + 3*c for h. -2 Solve 8*m - 12*m + 5*w + 12 = 0, w + 3 = m for m. 3 Solve -6 = 2*t + 2*g, 0 = 3*g - 6 - 0 for t. -5 Solve -2*n - 6 = 0, -29*n = -3*t - 27*n + 30 for t. 8 Solve 41 - 36 = 2*h - 5*d, -4*d = 3*h + 4 for h. 0 Solve v - 2*v = 5*a + 6, 5*a + 2 = -2*v for v. 4 Solve 4*r - 12 = -r - 4*p, -r = -2*p - 8 for r. 4 Solve 3*h = -0*h + 6*i + 42, 5*i = 2*h - 33 for h. 4 Solve -h + x = 0, -3 = -4*h - 4*x + 5 for h. 1 Solve 4*c - 27 = -4*a - 3, 0 = 3*a + 5*c - 20 for a. 5 Solve -22 = 5*s + d, 2*s + 13 - 7 = d for s. -4 Solve 3*j = 0, -2*b + 3*j = b for b. 0 Solve 4*h + 10 = 2*a, 5*a - 22 = -h - 8 for a. 3 Solve 2*j - 4*p = -30, -28 = -4*j + 7*p - 10*p for j. 1 Solve -21 = 9*p - 12*p + 4*o, 2*o + 6 = 0 for p. 3 Solve 4*q - 5*t - 11 = 0, 99 - 110 = -2*q - 3*t for q. 4 Solve -3*w - 9 + 2 = b, -14 = 4*b + 5*w for b. -1 Solve 5 = x + 5*c - 9, -2*x - 5*c = -13 for x. -1 Solve 17*k + 3 = 19*k - 3*b, 4*k + 2*b = 14 for k. 3 Solve -2*p = -a + 6, 5*a + 27 = -3*p - 8 for p. -5 Solve 5*x - 3*c = -4*c + 15, -12 = 4*x - 4*c for x. 2 Solve 3*d = -b - 11, 4*b - 10 - 6 = 3*d for d. -4 Solve 4*s = -2*k - 6, 2*k = -0*s + 4*s - 6 for s. 0 Solve -u + 1 = l, 5*u - 5 - 4 = -4*l for u. 5 Solve -m - 4*x - 4 = 0, 2 = -4*m + 9*m - 2*x for m. 0 Solve 0 = 2*k - 2*g + 12, 0*k - 6 = -k - 2*g for k. -2 Solve 3*h + 12*i + 12 = 15*i, -11 = h - 2*i for h. 3 Solve 7*b - 9*b + 3*p + 5 = 0, -4*p - 40 = 4*b for b. -5 Solve -26*t + 29*t + 11 = p, -t = 2*p + 6 for p. -1 Solve 3*k = -3*w, 4*w = k - 2*k - 6 for w. -2 Solve 21*d = 19*d - 5*z - 1, 3*d + 4*z + 5 = 0 for d. -3 Solve -l = -5*c + 6, 18*l + 4 = 17*l + 4*c for l. 4 Solve 3*q = 3*s + 3, -604*s - 2*q = -600*s - 8 for s. 1 Solve -24 = -23*l + 28*l + 4*v, -5*l + 4*v = 16 for l. -4 Solve 8*t - 6 = 3*t + 3*f, 2*t + 8 = -4*f for t. 0 Solve 0 = -2*j - 5*u + 19, -4*j - 10*u = -6*u - 20 for j. 2 Solve -2 = -f - 5*m, 2 - 10 = -4*f - 3*m for f. 2 Solve 3*w + 4*t - 25 = 0, -40*w + 3*t = -41*w + 15 for w. 3 Solve -11 = -3*x - 6*c + 2*c, -2*c = 4*x - 8 for x. 1 Solve -2*r - 5*c - 10 = 3*r, -7*r + 3*c + 16 = 0 for r. 1 Solve -5*a + 13 = 3*i, -5*i - a = 2*a - 11 for i. 1 Solve 5 = q, 2*y + 2*q - 6 + 0 = 0 for y. -2 Solve 14 - 2 = -4*d + 5*n, 3*d = -2*n + 14 for d. 2 Solve -5 = -5*x + 5*n, 2*x + 9 = 3*x + n for x. 5 Solve -3*c - 4 = 5, s - 3*c - 10 = 0 for s. 1 Solve -6*s - r + 8 = -s, -s + 6 = -2*r for s. 2 Solve -3*l = 0, -2*i = -7*i - 3*l + 5 for i. 1 Solve 5*k = 15, -2 = m + k - 0 for m. -5 Solve -2*d = d + 5*z, 3*z - 11 = -4*d for d. 5 Solve -5*u = j - 23, -3*j + 5*u - 16 + 5 = 0 for j. 3 Solve q - 1 = -2*r + 2, q - 5*r - 3 = 0 for q. 3 Solve 4*d = 3*s - 0*s + 7, 0 = -2*s + d - 3 for s. -1 Solve -6*a = -2*a - 4*j - 16, 12 = 5*a - 3*j for a. 0 Solve 0 = 4*j - 3*l - 18, 0 = -3*j + 4*l + 4 + 13 for j. 3 Solve 2*n - 15 = 3*u, 9 = -2*u + 87*n - 86*n for u. -3 Solve -86*o - 5 = -84*o + n, -2*n - 14 = 0 for o. 1 Solve 2*f - 3*f = 2*i - 4, 2*i + 4 = -5*f for f. -2 Solve -5*c = -4*b - 20, -5*b + b + 20 = 5*c for b. 0 Solve o - 5*m = -30, 0 = -4*o + 6*m - 2*m - 40 for o. -5 Solve -2*c - y = -0*y + 11, 10 = -c - 5*y for c. -5 Solve 4*u + 16*q = 17*q - 1, -5*u = 4*q - 25 for u. 1 Solve -3*x + p + 0*p - 8 = 0, 5*x - p + 10 = 0 for x. -1 Solve -3*m + 27 = 2*l + l, 5*l - 27 = m for l. 6 Solve 3 = -m + 4*y, 2*m + 2 = 7*y - 3*y for m. 1 Solve -6 = -2*h + 2*w, 3*h = -3*h + w + 8 for h. 1 Solve 4*i + 2*a = -20, 338*i - 342*i - 3*a - 22 = 0 for i. -4 Solve -14 = 4*v + p, -3*p = -0*v - v + 3 for v. -3 Solve 0 = -i - 5, -8*i - 18 = -2*q - 4*i for q. -1 Solve 4*k - 10 = 71*s - 66*s, 0 = -3*k + s + 13 for k. 5 Solve -30 = 5*x + 5*w, 3*x - 6 = -2*w - 23 for x. -5 Solve 0*k - 11 = 3*l - 4*k, -4*k = -2*l - 10 for l. -1 Solve -16*y = -3*q - 12*y - 1, -3*y = 5*q - 8 for q. 1 Solve 2*l + 36 - 10 = -5*m, -13 = 3*l + m for l. -3 Solve -276*k - 10 = -278*k + 2*z, -2*k = 2*z + 10 for k. 0 Solve u + 1 = 4*u - 5*g, g - 5 = -2*u for u. 2 Solve -7 = 39*d - 38*d - 5*z, -5*d + 4*z + 7 = 0 for d. 3 Solve -29*v - 4 = x - 31*v, -3*x + 5*v - 8 = 0 for x. 4 Solve 2*r + 4 = -z - 2, -4*r - 4 = 4*z for r. -5 Solve -16*h = -5*b - 12*h + 17, -5*h = -2*b + 17 for b. 1 Solve -2*v + 3*v - 4*f - 1 = 0, -5*v = -3*f + 12 for v. -3 Solve -125 = 3*f + b - 111, -2*b = 10 for f. -3 Solve 4*l = -p + 3, -l + 5 = -p - 2 for l. 2 Solve 2*d = -4*k - 8, -2*d + 5*k = -7*d - 5 for d. 2 Solve 4*m + k + 10 = 0, -m = 5*k + 17 - 5 for m. -2 Solve 3*o = 3*s + 3, -38 = -3*s - o - 61 for s. -6 Solve k - 3*x + 6*x + 4 = 0, 5*k + 4 = x for k. -1 Solve -3*o + c - 40 = -50, -20 = o - 5*c for o. 5 Solve -4*v = -2*o - 22, -2*v - 3*o + 14 = -5*o for v. 4 Solve 2*g + 20 = -4*z, 4*z = -14 - 6 for g. 0 Solve -5*q = -6*l + 2*l - 29, -2 = 2*l for q. 5 Solve -5*n = -3*i - 23, 0 = -3*i + 3*n - 2*n - 7 for i. -1 Solve 0 = 2*x - 5*x, 5*b + 5*x = 0 for b. 0 Solve -5*q + 65 = -5*i, i - 25 = 2*q - 43 for q. 5 Solve -3*t = 3*c - t + 3, -3*c = 4*t + 3 for c. -1 Solve 4*u = -3*n - 12, -12 = 3*n - 8*n + 4*u for n. 0 Solve -3*k = -2*f + 22, 5*k = f + 4*f - 45 for f. 5 Solve -5 = n + 3*v, -2*n + 4*v = 9 + 1 for n. -5 Solve -4 = 2*w + 2*o, 0 = -4*w + 6*o - 11*o - 10 for w. 0 Solve -5 = r - q, -4*r + q + 1 - 9 = 0 for r. -1 Solve 5*a - k = -13, -106*a + 29 = -108*a - 3*k for a. -4 Solve g - 4 = -2*a + 11, 4*a = 2*g + 10 for g. 5 Solve 0 = q - 8*d + 3*d + 11, 3*q + 5*d - 27 = 0 for q. 4 Solve v = -4*z - 16, 4*z = 4*v + z - 12 for v. 0 Solve -4*v - 4*j + 15 = -9, v - 3*j + 14 = 0 for v. 1 Solve -3*d - 4*m + 21 - 35 = 0, 4*d = -2*m - 2 for d. 2 Solve 4*n = 5*p + 15, 4*p + 5*n - 7 + 19 = 0 for p. -3 Solve 2*z + m + 1 + 4 = 0, -z - 2*m = 7 for z. -1 Solve 0 = -5*d + v + 6, d + 3*v - 10 = -12 for d. 1 Solve 4*h - 5*h = -5*y - 7, 0 = -4*h + 2*y - 8 for h. -3 Solve 549*t - 545*t + 17 = -v, -3*t = -5*v - 16 for v. -5 Solve 0 = -5*p + 2*h + 18, 18 = -p - 3*h - 2*h for p. 2 Solve -2*u = -3*r - 15, 5 = -r - u - 4*u for r. -5 Solve -10 = 4*y + 2*b, -16*y - 3*b + 25 = -18*y for y. -5 Solve 0 = -4*l + 201 - 185, -4*l = 4*n - 12 for n. -1 Solve -4*m - 2*g + 12 = 0, m = 2*m + 4*g + 4 for m. 4 Solve 0 = 5*t + 4*x + 3, -82*x + 6 = -85*x for t. 1 Solve 3*l + 43 = -5*p + 25, -p - 4*l = 7 for p. -3 Solve -3*d + 2 = -0*d - 4*j, 2*j + 14 = -5*d for d. -2 Solve 2*b = -j, 7*b - 2*b = -j for b. 0 Solve 4*v = 4*m - 8*m, 4*v + 6 = 2*m for v. -1 Solve -15*s = -18*s + 4*n + 4, 0 = -3*s + 3*n for s. -4 Solve 2*w - k - 3*k = 4, -4*w + 4*k
{ "pile_set_name": "DM Mathematics" }
1)**2*(2*g - 1)**2 Let v = 785/526 + 2/263. Find y, given that -15/2*y**2 - 6 - v*y**3 - 12*y = 0. -2, -1 Let m(b) be the second derivative of -b**6/30 + b**5/10 + b**4/12 - b**3/3 - 7*b. Factor m(u). -u*(u - 2)*(u - 1)*(u + 1) Let m = -35/3 - -37/3. Let p(i) be the second derivative of m*i**3 - 4*i + 0 + 1/4*i**4 - 2*i**2. Let p(v) = 0. Calculate v. -2, 2/3 Let s = 17 - 39. Let i = -22 - s. Factor -1/3*j**2 + 0 + i*j - 1/3*j**3. -j**2*(j + 1)/3 Let s(a) be the third derivative of a**8/588 - a**6/210 + 23*a**2. Factor s(u). 4*u**3*(u - 1)*(u + 1)/7 Let k(p) be the second derivative of -p**4/16 - p**3/2 - 9*p**2/8 + 36*p. Factor k(j). -3*(j + 1)*(j + 3)/4 Let j(b) be the first derivative of b**5/5 - b**4/4 - b**3 + b**2/2 + 2*b + 3. Factor j(q). (q - 2)*(q - 1)*(q + 1)**2 Let w(x) be the second derivative of -5*x**5/6 + 5*x**4/6 - x**3/3 - x**2 - 3*x. Let y(r) be the first derivative of w(r). Solve y(n) = 0. 1/5 Let w be (-6*(-5)/(-600))/((-2)/8). Factor -1/5*d + 1/5*d**3 + 0 + w*d**4 - 1/5*d**2. d*(d - 1)*(d + 1)**2/5 Let i(r) be the third derivative of 4*r**2 + 0 + 1/6*r**3 + 0*r**4 - 1/480*r**6 + 0*r - 1/80*r**5. Factor i(x). -(x - 1)*(x + 2)**2/4 Let g(s) = -11*s**3 - 5*s**2 - 12*s - 11. Let c(t) = -5*t**3 - 3*t**2 - 6*t - 5. Let a(q) = -7*c(q) + 3*g(q). Let a(n) = 0. Calculate n. -1 Let k(o) be the third derivative of o**6/200 + 3*o**5/100 - 2*o**3/5 + 24*o**2. Determine p, given that k(p) = 0. -2, 1 Let s(v) be the second derivative of -1/12*v**4 - 1/20*v**5 + 0*v**2 + 0*v**3 + 0 + 4*v. Solve s(z) = 0. -1, 0 Let t(g) be the second derivative of g**4/4 - g**3/2 + 11*g. Determine y so that t(y) = 0. 0, 1 Let s(d) be the first derivative of -7*d**6/12 + 9*d**5/10 + 19*d**4/8 - 13*d**3/6 - 3*d**2 + 2*d + 34. Solve s(v) = 0 for v. -1, 2/7, 1, 2 Let u(o) be the first derivative of -2*o**3/9 - 2*o**2 - 6*o - 2. Find s, given that u(s) = 0. -3 Let t(f) be the first derivative of -f**5/36 - 5*f**4/24 - 5*f**3/9 - 4*f**2 - 5. Let j(k) be the second derivative of t(k). What is v in j(v) = 0? -2, -1 Let l be (0 + (-4)/(-6))/((-188)/(-141)). Let 1/2 + l*q**2 - q = 0. What is q? 1 Suppose -4*f - 5 = -17. Let y(v) = v**2 - v - 4. Let h be y(f). Factor 0*o**2 - h*o - 3*o**2 - 2*o**2. -o*(5*o + 2) Let w be 1/(((-5)/(-3))/(28/21)). Let d(m) be the first derivative of w*m - 3 + 2/3*m**3 + 7/5*m**2. Factor d(k). 2*(k + 1)*(5*k + 2)/5 Let b(h) be the first derivative of -h**4/2 + 2*h**3/3 + 4*h**2 - 8*h - 40. Solve b(q) = 0. -2, 1, 2 Factor 2/5*u**3 - 4/5*u**2 + 0 - 6/5*u. 2*u*(u - 3)*(u + 1)/5 Let o be 4/(-22) + 272/528. Let -s**2 + 2/3*s**3 + o*s + 0 = 0. Calculate s. 0, 1/2, 1 Let j = 12 - 8. What is w in -w**j - 5*w**2 + 2*w**2 + 4*w**2 = 0? -1, 0, 1 Let 0*j**4 + 0*j**3 + 0*j**2 - 3/4*j**5 + 0 + 0*j = 0. Calculate j. 0 Factor 0*m**2 + 1/2 - 1/2*m**4 + m**3 - m. -(m - 1)**3*(m + 1)/2 Let x = 3/76 - -27/38. Find z, given that 3/2*z**4 + 0*z**3 - 3/2*z**2 + 3/4*z**5 + 0 - x*z = 0. -1, 0, 1 Solve 4/7 + 13/7*c**2 + 52/7*c**3 - 5*c**4 - 50/7*c**5 - 20/7*c = 0. -1, 2/5, 1/2 Let z(r) = 8*r**2 + 5*r - 8. Let w(q) = 1. Let d(c) = -5*w(c) - z(c). Let b(y) = -39*y**2 - 24*y + 15. Let o(j) = 5*b(j) - 24*d(j). Find v, given that o(v) = 0. -1, 1 Let n be (387/24)/(3/4). Let o = 219/10 - n. Determine m, given that 0*m + o - 2/5*m**2 = 0. -1, 1 Let l = 39 - 35. Let t(h) be the third derivative of 0*h**3 + 0*h + 0*h**l + 1/630*h**7 + 0 - 3*h**2 + 0*h**6 + 0*h**5. Factor t(c). c**4/3 Let u(m) be the second derivative of m**6/10 - 9*m**5/20 + 2*m**3 + m. Factor u(t). 3*t*(t - 2)**2*(t + 1) Let k(t) be the third derivative of -t**9/7560 + t**7/1260 + t**4/12 - 2*t**2. Let y(r) be the second derivative of k(r). Determine u so that y(u) = 0. -1, 0, 1 Let u be 0*9/6*(-21)/(-63). Determine x so that -2/3*x**3 + 4/3*x + 2/3*x**2 + u = 0. -1, 0, 2 Let y = -3 + 6. Determine u, given that -u**5 + 2*u - 4*u**5 - y*u + 4*u**5 + 2*u**3 = 0. -1, 0, 1 Let m(o) be the first derivative of -o**3/5 + 3*o**2/10 + 6*o/5 + 8. Let m(w) = 0. What is w? -1, 2 Factor 60/11 + 78/11*x - 18/11*x**2. -6*(x - 5)*(3*x + 2)/11 Let v be 12/(-5)*(-20)/3. Let d = v - 12. Factor 0*j**2 + 1/5*j**d + 1/5*j**3 + 0*j + 0. j**3*(j + 1)/5 Let k(q) = -q + 12. Suppose -4*b = -h - 46, 9 = 4*h + 1. Let n be k(b). What is a in n - 1/4*a**3 - 1/4*a**2 + 0*a = 0? -1, 0 Let o = -5 + 7. Let b(c) be the third derivative of 0*c**5 + 0*c + 0*c**3 - 2*c**o + 0 + 1/48*c**4 - 1/240*c**6. What is i in b(i) = 0? -1, 0, 1 Let h(v) = v**3 + v**2 + v - 1. Let c be h(1). Let p be 14/6 + (-1)/3. Solve -2*r**5 + 6*r**4 + 5*r - 2*r**2 - 4*r**3 + r - p - 2*r**c = 0. -1, 1 Let c(f) be the second derivative of -3/4*f**4 + 0 + 3/2*f**2 - 3*f - f**3. Factor c(s). -3*(s + 1)*(3*s - 1) Factor 6 - 1 - 10*k - 9*k**2 + 14*k**2. 5*(k - 1)**2 Suppose -3 = d + 3*z - 2, -5*z - 15 = -5*d. Let t be d - (-1 - (-4)/4). Determine u so that 1/2*u**3 + 3/2*u + 3/2*u**t + 1/2 = 0. -1 Let u(z) be the second derivative of z**5/140 + 2*z**4/21 + z**3/2 + 9*z**2/7 - 11*z. Determine s so that u(s) = 0. -3, -2 Let j(t) be the third derivative of 0*t**3 + 1/24*t**4 - 1/12*t**5 + 0*t + 6*t**2 + 0 + 5/96*t**6. Solve j(k) = 0. 0, 2/5 Let c(y) be the first derivative of -2*y**5/15 - y**4/6 + 4*y**3/9 - 10. Factor c(t). -2*t**2*(t - 1)*(t + 2)/3 Suppose 4 = h + 4*i - 5*i, 24 = 3*h + 3*i. Suppose -4*t + 14 = h. Factor -1/2*q**2 + t*q - 2. -(q - 2)**2/2 Let l be (-35)/30 + 1/6. Let w be (12/(-9))/(l + -1). What is d in -4/3*d**3 + w*d**5 + 0*d**4 + 2/3*d + 0 + 0*d**2 = 0? -1, 0, 1 Factor -26/7*j + 6/7 - 6/7*j**3 + 26/7*j**2. -2*(j - 3)*(j - 1)*(3*j - 1)/7 Let l(n) be the third derivative of 0 - 2/315*n**7 + 0*n + 11/540*n**6 - 1/9*n**4 + 8/27*n**3 + 1/1512*n**8 - 2*n**2 - 1/135*n**5. Solve l(h) = 0. -1, 1, 2 Find z, given that z**3 + 4*z**4 - 2*z**2 - 2*z**4 - z**4 = 0. -2, 0, 1 Let u = -267 + 1339/5. Factor -4/5*h**3 - u*h - 1/5 - 6/5*h**2 - 1/5*h**4. -(h + 1)**4/5 Let l(n) be the second derivative of 0 + 8*n + 1/105*n**6 + 1/21*n**3 + 0*n**2 + 1/14*n**4 + 3/70*n**5. Let l(a) = 0. What is a? -1, 0 Suppose -3*s - 37 = b + s, 3*s - 44 = b. Let t = b - -165/4. Determine x so that t + 1/4*x**2 - 1/2*x = 0. 1 Suppose -4*v - 40 = -4*q, -3*q = -4*v - 8*q + 5. Let p(g) = -g - 1. Let w be p(v). Factor 2*x**5 - 4*x**4 + w*x**2 - 8 + 8 - 2*x. 2*x*(x - 1)**3*(x + 1) Let u = 402 + -399. Solve 2/7*y**u + 6/7*y + 2/7 + 6/7*y**2 = 0. -1 Let y(d) be the second derivative of d**5/50 - d**4/10 + 4*d**2/5 + 3*d. Factor y(b). 2*(b - 2)**2*(b + 1)/5 Let v(i) be the second derivative of -5*i**7/14 + 2*i**6/3 + i**5/2 - 5*i**4/3 + 5*i**3/6 + 13*i. Determine l so that v(l) = 0. -1, 0, 1/3, 1 Let c(r) = -r + 7. Suppose 5*a - 20 = 5. Let g be c(a). Factor -3/2*u + 1/2 + u**g. (u - 1)*(2*u - 1)/2 Let t(z) be the third derivative of -z**6/30 + z**4/2 + 4*z**3/3 + 5*z**2. Factor t(m). -4*(m - 2)*(m + 1)**2 Let n(f) be the second derivative of f**6/240 - f**5/120 - f**4/48 + f**3/12 + 2*f**2 + 3*f. Let b(q) be the first derivative of n(q). Factor b(t). (t - 1)**2*(t + 1)/2 Suppose 9*d = 4*d. Let j(f) be the third derivative of 0*f + d + 0*f**3 - 1/240*f**5 + f**2 + 0*f**4. Suppose j(l) = 0. Calculate l. 0 Let z be ((-55)/15 - -1)/((-6)/9). Let q(i) be the second derivative of 0 - 1/2*i**2 - 7/12*i**z - 3*i + 5/6*i**3 + 3/20*i**5. Solve q(a) = 0 for a. 1/3, 1 Let j(b) be the first derivative of b**7/336 + b**6/144 - b**5/48 - 5*b**4/48 + 5*b**3/3 + 5. Let x(q) be the third derivative of j(q). Factor x(m). 5*(m - 1)*(m + 1)**2/2 Let n(u) be the second derivative of 18*u**6/5 + 33*u**5/5 + 17*u**4/4 + u**3 - 15*u. Determine b so that n(b) = 0. -1/2, -2/9, 0 Let v = -247/15 + 83/5. Let g = 1/5 + v. Factor 4/3*w - 4/3 - g*w**2. -(w - 2)**2/3 Let v(i) = 56*i**3 + 34. Let l(m) = -5*m**3 - 3. Let t(p) = -68*l(p) - 6*v(p). Factor t(c). 4*c**3 Let f(m) = -m**3 + 18*m**2 - 20*m + 53. Let l be f(17). Factor 3/2*h**l + 1/2 - 2*h. (h - 1)*(3*h - 1)/2 Factor -7*o**3 - 106*o**2 + 38*o**2 + 35 - 155*o + 15. -(o + 5)**2*(7*o - 2) Solve 2*z**2 + 2/3 + 8/3*z = 0 for z. -1, -1/3 Let d(s) = s**2 - 7*s + 8. Let x be d(6). Suppose x*r = 3*r - h - 6, -3*h - 8 = 2*r. Determine a so that 0*a**2 - 4/3 + r*a - 2/3*a**3 = 0. -2, 1 Let z(j) = -j**3 + 14*j**2 + 15*j + 4. Let v be z(15). Factor -2/3 + t**2 + t + t**v - 7/3*t**3. (t
{ "pile_set_name": "DM Mathematics" }
2)*(-4*l + 5 - 5) + 0*l - 2*l + l). 365*l Expand (2*g - g - 3*g)*(-2*g**3 - 2*g**2 + 2*g**2) + 3*g**4 + 0 + 0 + (-4 + 0 + 1)*(-2*g + 2*g - 2*g**4). 13*g**4 Expand (u - 2*u - u)*(-1 - u + 1) - 321*u**2 - 26 + 26. -319*u**2 Expand (5*d - d - 2*d)*(488 + 372 - 603)*(-2 - 1 + 2). -514*d Expand (-2*x**2 + 14*x**2 + 11*x**2)*(-2*x**2 - 2 + 2)*(1 - 2 + 2) - 24*x**3 + 24*x**3 - 8*x**4. -54*x**4 Expand (-2*p + 12*p + 0*p)*(-3 + 3 - p**4) - p**3 + 14*p**5 + 5*p**3 - 12*p**5 + (3*p**4 + p**4 - 2*p**4)*(-p + 0 + 0) + p - p + p**5 + 0*p - 5*p**5 + 0*p. -14*p**5 + 4*p**3 Expand (-x + 3*x + 0*x)*(10 + 21 - 9)*(-3*x + 8*x - 3*x) + 0*x + 2*x**2 + 0*x. 90*x**2 Expand (-n**3 - 3*n**3 + 3*n**3)*(-5*n + 0*n + 3*n) + (2*n - 2*n**3 - 2*n)*(-104*n + 25*n + 16*n). 128*n**4 Expand (-4*c + 3*c + 3*c)*(-20 + 141 + 86). 414*c Expand (27*h - 3392 + 3388 - 4*h)*(-2*h + 3*h**3 + 2*h). 69*h**4 - 12*h**3 Expand (-67*f + 10*f - 9*f)*((f + 4 - 4)*(-1 - 3 + 3) - 5 + 5 + 2*f) + (2*f - f - 3*f)*(31 - 31 + 5*f). -76*f**2 Expand (-2*p + 8*p + 2*p)*(23 - 17 + 38) + 0 + 0 + 2*p. 354*p Expand (4 - 2 - 3)*(-3 + 4 - 4)*(200*w - 200*w + 98*w**5). 294*w**5 Expand (-4*n - 3*n**4 + 4*n)*(-14*n + 52*n - 16*n) + 2*n**5 + 0*n + 0*n. -64*n**5 Expand -2*a + 3*a + a + 3 - 3 + 2*a + (3*a + 2*a - 6*a)*(0 + 2 + 0) + 1 - 1 + a + 5*a - 3*a + 2*a + 1 - 1 + 6*a. 13*a Expand -u + 2*u - 2*u + (2 + 2 - 2 + 2 - 3 - 1 + (1 - 2 + 0)*(4 - 1 - 1))*(3*u - 122 - u + 133). -5*u - 22 Expand (-2*j**3 + 2*j**3 + 2*j**3)*(-3 + 3 + j) - j**4 + 1 - 1 + (6 - 6 + 5)*(j**4 + 4 - 4). 6*j**4 Expand (3*h + h - 8*h)*(18*h + 189 - 189). -72*h**2 Expand (0*k**3 + 4*k**3 + 7*k**3 + 2*k)*(0 + 0 - 1)*(20 - 20 + 10*k)*(1 - 1 - k). 110*k**5 + 20*k**3 Expand (3*q**2 + 0*q**2 - 2*q**2)*(-5*q**3 - 3*q**3 - 16*q**3) + 14*q - 2*q**5 - 14*q - 16*q**5. -42*q**5 Expand (0*q**2 - 2*q**2 + 5*q**2)*(0*q - 6*q + 2*q)*(2 - q - 2). 12*q**4 Expand 5*d**5 - 3*d**5 - 3*d**5 + (-3*d**4 + 3*d**4 - 2*d**4)*(1 - 1 - d) - 18*d**3 + 11*d**5 + 18*d**3 + 5*d**5 - 5*d**5 + 3*d**5. 15*d**5 Expand 996*n**2 + n + 13*n**3 - 996*n**2 + (-10*n - 9 + 9 + (2 - 5 + 4)*(0*n + 0*n + 2*n))*(2*n + 2*n**2 - 2*n). -3*n**3 + n Expand (94*o**3 + 593 + 587 - 1179)*(1 + o - 1) + 4*o**4 + 6 - 6. 98*o**4 + o Expand (n + n - 4*n)*((6 - 4 - 5)*(1 + 8 - 3) + 1 - 1 + 5). 26*n Expand (l**4 + 3*l**4 - 6*l**4)*(-l - 2*l - 86*l)*(0 + 0 + 1). 178*l**5 Expand (-5*v + 6*v + 3*v)*(-1 - 3 + 3)*(4 + 1 - 3). -8*v Expand ((0 - 1 - 4)*(5 - 4 + 4) - 1 - 2 + 2)*(0*r + 4*r - 2*r). -52*r Expand (-2 + 2*b + 2 + (0 + 2 - 1)*(b - 2*b + 0*b))*(-50*b**4 - 342*b**2 + 342*b**2). -50*b**5 Expand (2*u + 3*u - 3*u + (-u - 4 + 4)*(-4 + 3 + 0))*(0*u - 22*u - 33*u). -165*u**2 Expand 3*a + 6*a - 8*a + (-1 + 0 + 2)*(2*a + 2*a - 6*a). -a Expand (0 + 0 - 141*g**2 - 52*g**2)*(1 - 1 - 5). 965*g**2 Expand 4*a**3 - 2*a**3 + 2*a**3 - 3*a**5 + a**5 - 3*a + 3*a + (0*a**2 - 3*a**2 + a**2)*(a**2 + 2*a**3 - a**2) + 0*a**5 + 0*a**5 + 2*a**5. -4*a**5 + 4*a**3 Expand (3 - 1 + 4)*(10*q**2 + 24*q**2 + 26*q**2). 360*q**2 Expand (3 + 7*b - 1 - 2*b)*(-b**3 + 5*b**3 + 0*b**3). 20*b**4 + 8*b**3 Expand (2*s - 4*s + s)*(10 + 35 + 18). -63*s Expand (6*z - 2 + 2)*(5 - 5 + z**2) + 0 + 2*z**3 + 0 + 2*z**3 - 3*z**3 - 2*z**3 + (-2*z + 3*z - 2*z)*(-1 + z**2 + 1). 4*z**3 Expand (8*g - 5*g - 21*g)*(-9 - 30 + 18) + 2*g - 2 + 2 + 2*g - 4*g + 3*g + (1 - 1 - 2*g)*(1 + 1 - 3). 383*g Expand ((i**4 - i**4 - 7*i**4)*(3 - 4 + 8)*(-6 + 1 + 3) + i**4 + i**2 - i**2)*(-3*i - i + 5*i). 99*i**5 Expand (-1 - 1 + 12)*(-2*t**3 - 2*t**3 - 7*t**3)*(3 - 2 - 5)*(t + 2*t - t). 880*t**4 Expand 0*i**2 + 0*i**2 + i**2 + (-i + 6*i - 3*i)*(4*i + 0*i - 2*i) + (-1 - 3*i**2 + 1)*(0 - 2 + 0) - 253*i + 253*i - i**2 + 15. 10*i**2 + 15 Expand (2*t - 3*t + 0*t)*(t**3 + 8*t**3 + t**3) + 2*t**4 + 0*t**4 + 0*t**4 + (t - 3*t**3 - t)*(-2*t + 1 - 1). -2*t**4 Expand (-21 - 2 + 1593*d - 1589*d)*(-2 + 2 + 3*d). 12*d**2 - 69*d Expand (3*o**2 + 2 - 2)*(1780 + 57*o - 1780) + 3*o**3 + 0*o**3 - o**3. 173*o**3 Expand -148*m**2 + 237*m**2 - 155*m**2 + (1 - 2*m - 1)*(-3*m + m + 4*m) - 4*m**2 + 7*m**2 - m**2 + m**2 - m**2 + m**2. -67*m**2 Expand (1453 - 1453 + 35*z)*(-3 + 11 + 1 + z). 35*z**2 + 315*z Expand (3*d**3 + 18*d - 18*d)*(-44 + 2*d**2 + 44 + (d - 3*d + 0*d)*(-d - 2*d + 2*d))*(-1 - 4 + 3). -24*d**5 Expand (3 + 1 - 2)*(0*u + 2*u + 0*u)*(7*u**2 + 55*u**2 + 11*u**2) + 2*u**3 - 3*u + 3*u. 294*u**3 Expand (-92*t - 87*t + 52*t - 135*t)*(0*t**2 - 3*t**2 + 0*t**2). 786*t**3 Expand (0 + 2*u + 0)*(6*u**2 + 4*u**2 - 4*u**2) - 3*u**3 + 4*u**3 - 3*u**3 + (-2*u + 3*u + 0*u)*(-8*u**2 - 1336*u + 1336*u). 2*u**3 Expand (8*f**2 + 2*f - 2*f)*(-1 + 2*f**2 - 2*f**2 + 2*f**3) + 139*f**4 + 11*f**5 - 139*f**4. 27*f**5 - 8*f**2 Expand (0*a + a + a)*(-7 + 7 + a**2 + (-2*a + a + 2*a)*(-a - 2*a + 5*a) - 92 - 28*a**2 + 92). -50*a**3 Expand (27 - 40*m**2 + 50*m**2 - 4)*(5 - 3 - 3). -10*m**2 - 23 Expand -3*l**2 + 5*l**2 + 4*l**3 + 61*l**3 + (-2*l**3 - l**3 + 5*l**3)*(2 + 3 - 3). 69*l**3 + 2*l**2 Expand -4*y**2 + 6*y**2 - 3*y**2 + (4*y - 4*y + 2*y)*(6*y - 2*y - 2*y) - 2 - y**2 + 2 + (8 - 8 - 6*y)*(-3*y + 6*y - y). -10*y**2 Expand (-4*p + 5*p + 2*p)*(4*p - 4*p + 5*p**3) + (-5 - 3 + 1)*(p**4 + 5 - 5). 8*p**4 Expand f**5 + f**2 - f**2 + (-f**2 - 2*f**2 + 2*f**2)*(16*f**2 + 185*f**2 - f**2)*(-2 + f + 2). -199*f**5 Expand 0*y**5 + 0*y**5 - 6*y**5 + (0*y + 3*y - 2*y)*(-y**4 + 3*y**4 + y**4) + 0*y**5 + y**5 + 0*y**5 + 4*y - 4*y - 3*y**5. -5*y**5 Expand (-21*l - 25*l + 56*l)*(-47 + 42 + l + l). 20*l**2 - 50*l Expand (-3*n - 4*n + 3*n - 4*n)*(-7*n**2 + n**2 + 0*n**2)*(-1 - 6 + 1). -288*n**3 Expand (-3*x**4 - 96*x + 93*x - 9*x**4)*(2 - 7 - 1). 72*x**4 + 18*x Expand (19*j**4 + 31*j**4 + 6*j**4)*(0 - 5 + 3) - 4*j**2 + j**2 + 2*j**2 - 2*j**4. -114*j**4 - j**2 Expand (0*a**2 + 3*a**2 - 4*a**2 - 19 + 3*a)*(4*a**2 + 3*a**2 - 5*a**2). -2*a**4 + 6*a**3 - 38*a**2 Expand 0*u - u + 0*u - 8*u**3 - 3 + 3 + 2*u**3 + (-6*u + 2*u + 2*u)*(3*u**2 - 2*u**2 - 3*u**2) + 3*u - 6*u**3 - 3*u + (-2*u**2 + u - u)*(2 - 2 - u). -6*u**3 - u Expand -q**4 + q**4 + 2*q**4 + (-3 + 3 + 1)*(-8*q**4 - 12*q**4 - 5*q**4). -23*q**4 Expand 0 - u + 0 + (0*u - u - 2*u)*(-2 + 1 + 0) - 4*u - 7*u - 6*u + 3*u - 3*u - 2*u + (1 + u - 1)*(5 + 0 - 4). -16*u Expand (-39*f + 29*f - 61*f)*(-3*f + 1 - 1 + (-2*f - f + 4*f)*(0 + 1 - 2) - 3*f + 5*f - 3*f). 355*f**2 Expand -2*d**5 + 4*d**5 - 4*d**5 + (21*d - 21*d - 28*d**3)*(0*d**2 + 0*d**2 + d**2). -30*d**5 Expand ((5*w - 2*w - w)*(0 - 1 + 0) - 8 + 8 - 9*w)*(-2 + 0 - 6). 88*w Expand ((-2*p**3 - 3 + 3)*(-4 + 4 + p) - p**3 - 4*p**4 + p**3)*(-15*p + 19*p - 8*p) + 0 + 0 - 2*p**5. 22*p**5 Expand (-5 + 3 + 3 - 4 + 1 + 16 + 0 - 9 + 2 + 4 - 3 - 2 + (-3 + 4 + 1)*(-4 + 1 + 4) + 3 + 3 - 4 + 1 - 5 + 2)*(-k - k + 4*k). 16*k Expand (-1 + 3*z + 1)*(-6*z - 9*z + 4 - 7)*(-z**3 - 4*z**3 + 0*z**3). 225*z**5 + 45*z**4 Expand -6*o + 2*o + o + (1 + 1 + 6)*(2*o - 6*o + o). -27*o Expand -384*p**3 + 7 - 20 + 13 + (-1 + 2*p + 1)*(p**2 + 0*p**2 + p**2). -380*p**3 Expand (-3*z + z - z)*(-3*z**3 - 3*z**3 + 2*z**3) - z**4 - 1 + 1 + (2*z**4 + 0*z**2 + 0*z**2)*(0 - 1 + 2). 13*z**4 Expand (0*u + 4*u - 2*u)*(-1 - 22705*u - 1 + 22401*u). -608*u**2 - 4*u Expand (0*g + 0*g + 4*g**2)*(-9*g**2 + 3*g**3 - 7*g**2 + g**3). 16*g**5 - 64*g**4 Expand (2*a**3 - 2 + 2)*(-2 - 2*a + 2) + 41*a + 3*a**4 - a**4 - 3*a**4. -5*a**4 + 41*a Expand (q - q - q)*((2 - 1 + 0)*(-3 - 1 + 5) - 92 - 91 + 39). 143*q Expand (-2*b + b + 2*b)*(59*b + 3*b**2 - 2*b**2 - 4*b)*(2 - 2 - b). -b**4 - 55*b**3 Expand -2*j - 6*j**3 + 0*j + 10*j - 5*j**2 + 5*j**2 - j**3 + (4*j + 0*j - 2*j)*(-2*j**2 + 0*j**2 + 0*j**2). -11*j**3 + 8*j Expand 2*w**3 + w**3 - 5*w**3 + (147 - 147 - 2*w**2)*(-4*w + 0*w + w). 4*w**3 Expand (14 - 44*j - 6 - 6)*(64 + 4 - 22). -2024*j + 92 Expand 8*l**4 - 2*l**4 - l**4 + l**4 - 2*l**4 - l**4 + (-2*l + 5*l - 2*l)*(-l**3 + 3*l**2 - 3*l**2) - 2*l + 2*l - l**4. l**4 Expand 5*t**2 - 3*t**2 - t**2 + (-2*t + 0 + 0)*(319 - 319 - 103*t). 207*t**2 Expand (b**2 - 1 + 1)*(-b**3 - 3*b**3 + 3*b**3) + (1 + 2 - 5)*(-2*b**2 - 12*b**2 + 8*b**2)*(22 - 20 - 2*b**3 + 0*b**3). -25*b**5 + 24*b**2 Expand (-8*y + 5*y**2 + 8*y)*(51*y**2 + 11*y**2 - 12*y**2). 250*y**4 Expand (0*g + 0*g + 3*g)*(1 - 1 + 3)*(-4*g + 4*g - g + 8). -9*g**2 + 72*g Expand (0*o**2 + 5*o**2 - o**2)*(-5*o - o + 3*o)*(10*o + 56*o + 4*o). -840*o*
{ "pile_set_name": "DM Mathematics" }
1. Let t = -4.249 + 0.049. Let w = 4 + t. Is v <= w? False Let z = -28392 + 28390.724. Which is bigger: -0.2 or z? -0.2 Let g = -1/38571 + -13191275/269997. Let k = -18119/371 - g. Is 2/7 less than or equal to k? False Let s = 28.3 + -28.2. Let g = -0.55 - 18.65. Which is bigger: g or s? s Let z(m) = m**2 - 8*m - 17. Let w be z(10). Let c be 4/w*(-54)/120*2. Let p = -0.203 - -0.403. Which is smaller: c or p? c Let l = 3903.74 - 3867. Let y = 36 - l. Is 2/3 at least as big as y? True Let r(x) = -x**3 + 3*x**2 + 11*x. Let p be r(5). Let g(o) = -o**2 + 3*o - 1. Let j be g(p). Let u = 282 + -290. Which is greater: j or u? u Let f(c) be the first derivative of c**4/2 - c**3 - 3*c**2/2 - 2*c + 13. Let h be f(3). Suppose 4*u + 4*l + 62 = 7*u, 0 = -4*u + 2*l + 76. Is h >= u? False Let k(o) = o**3 + 11*o**2 + 23*o - 9. Let j be k(-8). Let w be (-121)/(-2)*-2 + j. Is -122 equal to w? True Suppose 3*q + 6 = -3*i, 2*i + 12 + 10 = 4*q. Let z be (-289 - -293) + (-20)/2 + -1. Let j(w) = 5*w**2 + 35*w + 8. Let x be j(z). Which is smaller: x or q? q Suppose 39*c = 41*c + 18. Let v = -92 + c. Is v at least as big as -102? True Let h = -157.0206 - -0.0206. Let g = -104 - h. Is 2 at most as big as g? True Let h(w) = -271*w**2 + 106*w - 455. Let g be h(5). Are -6701 and g unequal? True Let c = -7 + 10. Let u = 259 + 236. Let r = -495.1 + u. Which is bigger: r or c? c Let v be 2/11 - 1086/6336. Let d be 5 - (-41 - 1 - 1). Let w = 48 - d. Which is smaller: v or w? w Let t = -0.058 - 168.942. Let p = t - -154. Which is bigger: -0.2 or p? -0.2 Let l be (19/(3230/20))/8. Let z(a) = -a**2 - 12*a. Let b be z(-12). Does b = l? False Let n(k) = k**3 - 12*k**2 + k - 14. Let g be n(14). Suppose -9*r = 5*r - g. Suppose -3*w + 2*o = w + r, -7 = -w + 4*o. Is w equal to -9? True Let n = -2 - -4. Suppose -5*i = -4*x - 261, 10*i + 66 = -x + 11*i. Which is greater: x or n? n Let l = -69367500581 + 53967922720873/778. Let j = l - 9343. Which is bigger: 1 or j? 1 Suppose 5*v - 208 = 3*v - 2*y, 3*v - 5*y - 328 = 0. Suppose -2*t = -108 + v. Is 3/154 at most as big as t? True Let d = 0.0697 + 4.9263. Let p = -1.104 + 1.1. Let q = d - p. Is q at least as big as -0.2? True Let u be (-1)/(-3 + 0/(-4)). Let i = -5684 - -5631. Which is smaller: u or i? i Suppose 2*r + 2*r - 40 = 0. Suppose -14*b = -4*c - 19*b + 27, c + 5*b = 3. Which is bigger: r or c? r Let c(r) = -r**3 - 16*r**2 + 3*r + 4. Let k be c(-16). Let z = 20 + k. Let t be (2/(-6))/((-2)/z). Is -5 at most as big as t? True Let i be (4 + (-2 - 2))/(4/2). Is i < 8/403? True Let o be 2/(-28)*((-8541)/(-99))/13. Let q be (-4)/(-18) + (-53)/198. Let d = q - o. Is 0 <= d? True Let c = -107 - 14. Let f = 10355 - 10266. Let t = f + c. Is t at least as big as 1? False Let c be 5/(-780)*-4*-6. Let y be (-1)/(-3)*9/3. Let q be ((-8)/(-4))/(-2*y). Which is greater: q or c? c Let r be (2002539/63)/((-44)/(-24)). Which is greater: 17337 or r? r Suppose b + 28 = 5*c - 3*c, b + 24 = c. Let s = b + 22. Suppose 0 = -3*o + s*o + 4*w + 5, -3*o - 5*w = 2. Is -4/11 <= o? True Let w be -1*(-6)/4*7028*(-6)/36. Is -1758 < w? True Suppose -17*f - 1617 = -4*b + 547, -6 = 2*b. Are 28 and f unequal? True Suppose 0 = 35*v - 36*v + 5, -3*m = v + 415. Which is smaller: -7 or m? m Let m = -2.7467 - 0.2533. Is -0.356 at least as big as m? True Suppose k + 2 = 5*r + 2*k, 2*r + 2*k - 4 = 0. Let j(y) = 29*y + 6. Let l be j(-4). Is r at most as big as l? False Let z be ((-1174)/4)/(1/(-8)) - 0. Suppose -54*p + z = 5*l - 56*p, 4*l = p + 1876. Is 467 < l? True Let u be ((-2)/3)/(1/45). Suppose 0 = 4*n + m - 673, 45*n - 40*n - m - 839 = 0. Suppose 0 = -87*j + 93*j + n. Does j = u? False Suppose 3*q - 490 + 28 = 0. Suppose -4*j + 868 = -3*f, -3*j = -f - q - 127. Is f at most as big as -1? True Let x = -65/344 + -157357/1032. Let j = 29779/195 + x. Which is greater: 0 or j? j Suppose -c = 3*c - 16, -c = -4*k + 32. Suppose 5*o + 60 = k*o. Let y be -1*(-4)/(-72)*o. Is y at most as big as -2? False Suppose -4*l = 3*x + 3, -59*l + 60*l - 3 = 3*x. Which is smaller: l or 2/85649? l Let b = 7336 - 51353/7. Is b at least 46? False Suppose 0 = -17*c - 55 + 89. Let j be ((-72)/(-42))/((-27)/(-84)) - c. Suppose -2*t - 5*s + 18 = 0, 0 = 3*t - 8*t - 3*s + 26. Do j and t have different values? True Let f = 177906 + -6225746/35. Is f equal to 27? False Let c(w) = 15*w**2 + 17*w + 20. Let g be c(-1). Let r be -2 - 0 - 162/(-8). Which is smaller: r or g? g Suppose -53*x = -54*x - u + 1, -2 = 2*x - 2*u. Which is bigger: 5/86 or x? 5/86 Suppose 7197*d = 7216*d. Which is smaller: d or -1/1737? -1/1737 Let d be 2/(-8) + (-51045)/60. Let y = 125/29658 - -933896137/1097346. Let j = d + y. Which is smaller: 1 or j? j Let d = 575 + -197. Let b = d - 369. Which is greater: b or 13? 13 Suppose -25 + 5585 = 12*n + 8*n. Which is bigger: 0.02 or n? n Let g = -30593 + 336521/11. Let u = 8.3 + -8. Which is greater: u or g? u Let b = -430 + 435. Suppose -4*z + 65 = -b*n, 3*z + 0*n = -n + 25. Which is bigger: z or 1? z Let a = 2766.14 - 2766. Is 4/29 equal to a? False Suppose -4*l + 260 + 184 = 0. Let o be (4/(-12))/((-3)/l). Let m = 13 - o. Is m greater than or equal to -4? True Let o be (0 - 2)*((-6769917)/(-846237) - 8). Are o and -1 equal? False Suppose 0 = -s + f - 128, 32*f - 33*f - 138 = s. Let l be -135 + (1/1 - -2). Do l and s have the same value? False Let s be ((-9)/(-39))/(1/(-10)). Suppose l - 3254 + 3228 = 14*l. Which is smaller: l or s? s Let b be 14/(-4) + (-45)/(-10). Let r = -43 + 22. Which is bigger: b or r? b Let p = 7/2 - 19/3. Suppose -13*y + 98 = 46. Suppose -2*o + h = 0, -y*o + 4*h + 12 = -2*o. Is p != o? True Let w(n) = n - 48*n**3 + 102*n**3 - 3*n**2 + 9 - 53*n**3. Let p be w(3). Is p >= 12? True Let x = -6970327/5 + 117877719/85. Let b = -7271 - x. Which is greater: -2 or b? -2 Let l be 6*(5 + -8 + 766/256). Let c = 81 - 76. Let w(b) = -b**3 + 4*b**2 + 5*b. Let z be w(c). Are z and l equal? False Suppose -21*r - 22074 = -69564 - 27249. Which is smaller: 3558 or r? 3558 Let s(q) = -137*q - 682. Let m be s(-5). Let l be 1/4 - 30/(-8). Let g = -3 + l. Do g and m have the same value? False Suppose 133 = -5*j - 72. Let v = j - 40. Let p = v - -83. Is 24/13 greater than p? False Let b = -974 + 970. Let l = -1 + 4. Let u = b + l. Is u less than or equal to 35? True Let q be (8/(-80)*-12)/(13544/(-10)). Which is smaller: q or 0? q Let o = 319375 - 2240122/7. Which is smaller: -643 or o? -643 Suppose 3*u - 306 = -4*t, 2*t - 4*u - 10 - 154 = 0. Suppose 0 = -19*a + 13*a + t. Let r be 3 + (a - 10) + (0 - 6). Is 10/19 bigger than r? True Let q(v) = -4*v + 6. Let u be q(5). Let k = -18956/9 - -2092. Which is greater: u or k? u Let s = -6214 - -6209. Which is smaller: s or 1/4? s Let h(c) = 201*c + 4028. Let l be h(-7). Is 10485/4 <= l? False Let p(v) = -v**3 + 2*v**2 + 5*v - 6. Let d be p(-5). Let g = d - 139. Does g = 0.4? False Suppose 315*c + 5185 - 4870 = 0. Let f = -5317 - -1924753/362. Do f and c have different values? True Let q(c) = 5*c**2 + 76*c + 20. Let k be q(-20). Suppose -20*t = -k - 500. Is 51 less than t? False Suppose -5*r + 5*c = 5, -6*r - 3*c = -r - 3. Let h be (362 - 361)*((-284)/98 - -3). Which is greater: h or r? h Suppose 10*w - 19*w = -18. Let m(v) = 71*v - 7. Let u be m(w). Is 135 at most u? True Let l = 38229 + -38229.2. Let y(u) = -u**3 - 2*u**2 - 4*u - 2. Let h be y(-2). Is h less than l? False Let i = -5.8472 + 60.8532. Let h = -55 + i. Let k = h - 45.006. Is 0 > k? True Let b = -18239 - -386926/21. Let p = b + -186. Let q = -20 - -20. Which is smaller: q or p? q Suppose -2*a + 4*o = 20, 10*a - 7*a + 3*o = 6. Let q be 2 + a + -1 - 0. Which is smaller: -12/137 or q? q Let m(u) = -22*u - 81. Let t be m(-4). Let d be 1 + t/(-3) - 1360/(-12). Is d equal to 112? True Let j = 3496 + -3498. Which is greater: -967 or j? j Let b be (-2 - 3) + (-43 - 12). Let f be -3 - (-21)/6 - (-6)/b. Is f less than or equal to -0.1? False Let x = 1016.62 - 1007. Let s = x - 5.62. Suppose 6 = -2*i - 6. Is i at most as big as s? True Let r be (29 - -3) + (-15)/3. Suppose -4*t = 21 + r. Is -12 smaller than t? False Suppose 5*i + 275 = -2*a, -4*i = -2*a + 199 + 39. Let n = -52 - i. Suppose 0 = f + 3 - n. Which is smaller: f or 5/2? f Let j(c) = -104*c - 2827. Let u be j(-27). Is u bigger
{ "pile_set_name": "DM Mathematics" }
20 - 28 + 82. Let u be r(3). Which is the biggest value? (a) 1 (b) 7 (c) u b Let x = -1735 + 3722. Let u = x + -1986.6. Suppose -2*w + n = -31, 2*w + 3*n - 77 = -2*w. Which is the third smallest value? (a) w (b) u (c) 2 (d) -0.4 c Let g = 0.33 + -0.26. Let t = 0.03 + g. Let y be 5 - (-2 + (-115)/(-20)). What is the third biggest value in t, y, 1? t Let p(h) = 8*h + 8*h**3 + 5*h**3 - 14*h**3 - 9 + 6*h**2. Let v be p(7). Let f be (9 + -1)*(-220)/(-1232). What is the second biggest value in v, 0.3, f? 0.3 Let w = -0.202 - -0.158. Which is the second smallest value? (a) -2/9 (b) -0.06 (c) w b Let u = 8.1 + -8. Suppose 0 = 7*w - 3*w + 5*z - 27, 4*w = z + 33. Suppose w*g + 77 = g. Which is the second smallest value? (a) 5 (b) g (c) u c Suppose 168*f = 1985 - 2825. What is the second biggest value in 0.05, -2, f, -18? -2 Let a = -1/8055 + 3223/8055. Suppose 0 = v + 5*j - 4, 2*j - 5 = 4*v - 21. What is the smallest value in v, a, 2/3? a Let k = -5070 + 5074. What is the third smallest value in 2/15, 0.5, 3, k, -0.5? 0.5 Let m = 411 - 410.9. Let j(x) = -x**3 - 14*x**2 - 13*x - 17. Let u be j(-13). Let d = u - -12. Which is the second smallest value? (a) 4 (b) m (c) d b Let o = 23214 - 23216. Which is the biggest value? (a) 1.4 (b) 4/5 (c) 0 (d) o (e) -142 a Let r(m) = -179*m + 11. Let l be r(1). Let d = -164 - l. Which is the smallest value? (a) d (b) -2/7 (c) -0.3 c Let q = 0.8 - 1. Let n = 0.3 - q. Let a be 4/6*(-4 + 74 - 67). What is the second biggest value in n, 1, a, 2/13? 1 Let h = 0.15 + -0.05. Let t(x) = 26*x - 261. Let a be t(10). What is the second smallest value in h, a, -9, 0? a Let w = -11424 - -11427. What is the fifth biggest value in 2, 1, w, -1, 9/4? -1 Let k = -829.7 + 829.2. What is the fourth smallest value in -5, -60, k, 0.1, -0.2? -0.2 Let r = -415.3 - -407.3. What is the third smallest value in 4, -0.4, -12, r? -0.4 Let c be (-26)/(-104) - (-483)/(-28). What is the smallest value in 0.3, c, -0.1, 2/3, 0.5? c Let s be ((-170)/(-119))/((-15)/(-21)). Which is the second biggest value? (a) 4 (b) 0.003 (c) 1/15 (d) s d Let s = 0.28785 + -5.28785. Which is the fourth smallest value? (a) -16/5 (b) -0.3 (c) s (d) 1/2 (e) 4/7 d Let g = 4425 - 57527/13. What is the second biggest value in -4, g, 2, 0.23, 1/6? 0.23 Let i = 25305.87 - 25306. Let u = 3.1 - -0.9. What is the second smallest value in 0.3, i, u? 0.3 Let i be 2 - 1 - 1078/924. What is the smallest value in 1, 2, 0.5, -6, i? -6 Suppose 4*h + 736 = 5*g, 7*h + 830 = 2*h - 5*g. Which is the third biggest value? (a) 1 (b) -0.3 (c) h c Let m = -3.2 + 0.2. Let z = 432/325 - 302/325. Let q = -1.7 - -5.7. What is the smallest value in m, q, z, 3? m Let j(o) = -2*o**3 - 34*o**2 - 8*o - 133. Let m be j(-17). What is the fifth smallest value in m, 0, 2, 13, -1/37? 13 Let k = 23 + -251. Let v = 227 + k. Suppose 3*r - 8*r = 25. What is the smallest value in r, 0.3, v? r Let s = -360 - -2522/7. Which is the fifth biggest value? (a) -0.4 (b) 0.5 (c) s (d) -0.6 (e) -0.022 d Let d = 49.4 - 54. Let o = 5 + d. Suppose -3*r - 9 = -13*f + 12*f, -5*f - 4*r = 12. What is the third smallest value in f, -2/9, o, -3? f Let w = 562453 - 562477. Let h(p) = -p**3 + 3*p**2 - p + 1. Let c be h(3). What is the second smallest value in 4, -0.3, w, c? c Let m = 12 - 12.011. Let p = m + 0.006. Let l = p + 3.005. Which is the second smallest value? (a) 1/3 (b) -0.2 (c) l (d) 0 d Let x be 2/(-5) - (-8 - (4 + -12)). Let q = -33 - -35. What is the biggest value in x, -5, 0.4, q? q Suppose 8 = 2*v + 4*x, 4*x - 36 = -2*v - 2*v. Suppose 30724*m + 85 = 30741*m. Which is the third smallest value? (a) v (b) -0.2 (c) m a Suppose -w = 3*w + 12. Let l(s) = -s - 5. Let i be l(-4). Let k = -1185/7 + 169. Which is the third biggest value? (a) k (b) -0.2 (c) w (d) i d Let l = -2672 - -2666. Which is the second smallest value? (a) l (b) 2 (c) 1/2 c Let n = 9 + -3. Let u = -602 + 607.94. Let h = n - u. Which is the smallest value? (a) -3/4 (b) h (c) 0.5 a Let a = 0.1 + -0.16. Let t = 0.21 + a. Let f = 2214 - 2211. What is the smallest value in t, f, 1? t Let l be (-1)/(6/(-21) - (-3)/84). Suppose -2*z = 8, z = -l*r - z + 12. Which is the third smallest value? (a) 4/17 (b) -5 (c) r c Let r = -5924.2 + 5924. Let f be 4 - 2 - 21/10. What is the smallest value in r, -4, -3, f? -4 Let i be ((-228)/(-651) - 26/403)/2. Which is the fifth smallest value? (a) 3/5 (b) -3 (c) 5 (d) i (e) -4 c Let l be ((-40)/(-30))/(280/105). Which is the third biggest value? (a) 11 (b) 49 (c) l c Let z = 21332.3 + -21333. Which is the smallest value? (a) 0.1 (b) z (c) -2 (d) 5 (e) -3/2 c Let z = -190/319 - -12/29. Let i = 29294 + -29288. What is the fourth biggest value in z, -0.2, -0.1, i? -0.2 Let g = 1143/113 + -4911/452. Suppose 5*f - 157 - 83 = 0. Let c be (-1 - 1) + f/28. What is the smallest value in -0.5, c, g? g Suppose -55 = 20*h + 45. Let o = 0.621 - 11.601. Let x = -0.02 + o. Which is the smallest value? (a) -0.1 (b) h (c) x c Let n = 10.33456 - 0.33456. Let f = -9.03 - -0.03. What is the smallest value in n, -2/5, f? f Let r = -26807 + 26805. Which is the second biggest value? (a) r (b) -3/8 (c) -438 (d) -5 a Let y be 5 - (44/(-4) + (-12)/(-2)). Let j be (7 - y)*(4 + -3 + 4). Which is the third smallest value? (a) j (b) 2/9 (c) 0.2 (d) -0.4 c Let j = 62 - 64.08. Let s = 1.58 + j. What is the second smallest value in -2, s, -2.4? -2 Let m be (-2 + (-3)/(-6) - -2)/(840/(-1008)). What is the fifth biggest value in -1/7, m, -0.3, -2, -0.18? -2 Let l(n) = n**3 - 14*n**2 - 3*n + 69. Let s be l(13). Let f = -140 - s. Which is the second biggest value? (a) f (b) 1 (c) -4 (d) 3/5 d Let h = 16315 - 16312. Which is the biggest value? (a) 1 (b) h (c) -0.3 (d) -82 (e) -7 b Let t = 0.09 + 0.21. Suppose -b = 5*u + 21, 0 = 35*b - 30*b + 5*u + 25. What is the fourth smallest value in b, t, 3/4, -3? 3/4 Let z = 258 + -183. Let d = -63 + z. Let v be 2/(54/(-15))*d/(-10). Which is the smallest value? (a) -0.5 (b) v (c) 15 a Let z = 0.21 + 3.79. What is the fourth biggest value in z, -4, 5, -173? -173 Let g = 63 - 62. Let z = 1530 - 1495. What is the smallest value in z, g, 2/21? 2/21 Let o be (-6)/(-16)*48/(-6). What is the third biggest value in o, 16, 0.3, -2? -2 Let y = -948 + 1045. Let g = -93 + y. Let s = -555/4 + 138. Which is the biggest value? (a) s (b) 0 (c) 2/9 (d) g d Suppose 16*i + 4485 = 181. Let z = i - -269. Which is the fourth biggest value? (a) 5 (b) z (c) 3/2 (d) -1/7 d Let q be (4 - 1)/(7/2 + -2). Suppose -j + q*f = 67, 7*j + 2*f = 4*j - 185. Let r be -1 + (-2)/(-3) - 3/j. What is the second biggest value in 2/11, 1.7, r, -4? 2/11 Let y = 9/16 - 1/16. Let q = 3/6589 + 13115/138369. Let v = -48 - -53. Which is the biggest value? (a) q (b) -2/13 (c) y (d) v d Suppose 30*q + 692 = 34*q. Let l = q - 148. Which is the second smallest value? (a) 1 (b) 0 (c) l a Let y = -0.162 - -218.462. Let k = y + -218. What is the second smallest value in k, -1, 0.07, 0? 0 Let i be (-15)/(-36)*3/10. Let y = -147.4 - -21.4. Let d = 129 + y. Which is the smallest value? (a) -5 (b) d (c) i a Let v = -32 - -65/2. Let w = -609 - -613. Which is the second smallest value? (a) w (b) v (c) 2 (d) 0 b Let n = 2048 + -6140/3. Which is the smallest value? (a) -73 (b) 3 (c) n a Let d be -4*(3/4 - (-329)/(-196)). Let q = d - 4. Which is the third smallest value? (a) -1 (b) -0.1 (c) q b Let z = 39.2 - 39. Let g = -9 + -90. Let a = g - -101. What is the third biggest value in 31/2, a, z? z Suppose -56 = -4*w - 7*y + 8*y, 3 = -w - 4*y. Suppose w*f = -0*f - 39. What is the second biggest value in f, -14, -4, -1/7? f Let m = 0.136 - 0.536. Suppose 2*h - 5*h + 3*n - 3 = 0, -n + 5 = 0. Let x = 0.98 + -1.68. What is the fourth biggest value in x, h, -4, m? -4 Let t = -35.5 - -22.5. Which is the biggest value? (a) -5 (b) 1/10 (c) t b Let x be 12/(-72)*-1*-3. Let l = -155/3 + 51. What is the third biggest value in l, -2, -5/4, x? -5/4 Let h = 4.4 + -0.4. Let y = -1.1091 - 0.8909. Which is the second smallest value? (a) y (b) h (c) -1 c Let c(q) = q**2 + 22*q + 91. Let p be c(-5). Let k = 90 - 90.1. What is the third smallest value in p, -2/7, k? p Let x = -
{ "pile_set_name": "DM Mathematics" }
(m) = -3 - m**2 + 35*m + 15 - 37*m - 4*m**3. Let j(b) = 2*n(b) + 11*y(b). Is j(-7) a prime number? True Let w(v) = -4*v**3 - v**2 - 2*v. Let u be w(-1). Suppose -u*y - 4 = -7*y. Suppose 5*d + 4*s - 203 = 0, -2*d + y*s = -0*s - 92. Is d a composite number? False Suppose k = -288 - 1793. Let d = k - -3648. Is d composite? False Suppose 59 = u - 29. Suppose 0 = -p + 323 - u. Is p a prime number? False Let j = -3246 - -13637. Is j prime? True Let x = 29 + -27. Suppose z = x*p + 34, -z + 176 = 4*z - 4*p. Suppose -s - z = -2*l - 2*l, -4*l + 5*s = -20. Is l a prime number? False Suppose 3*i + 3*q - 45582 = 0, -10777 - 4423 = -i - 3*q. Suppose -26*r + i = -15*r. Is r prime? True Let u(z) = -z**3 + 12*z**2 + 2*z - 14. Let r be u(12). Let f(x) = r + 1 - 3*x**3 - 11*x**2 + x**3 - 6*x. Is f(-10) composite? False Suppose -7 = 6*h - 1. Is h - 35/(-14)*1766 prime? False Let w(p) = 407*p - 388. Let x be w(1). Let m(z) = -z**2 + 36*z - 2. Let u(r) = -5*r**2 + 180*r - 9. Let s(h) = 11*m(h) - 2*u(h). Is s(x) prime? False Let c = 107 - 111. Is c - ((-71636)/(-10))/((-2)/5) a prime number? False Let o be (6/(-18))/((-1)/12). Suppose 0 = -n + 3*y + 1252, -5*n + 2058 + 4169 = -o*y. Is n a prime number? False Suppose 5*f - 66491 = -2*u, -3*u = -3*f + 2*u + 39876. Suppose 4*k - 2*v = 28164, 2*k + v - 777 = f. Is k composite? False Let q = 545 - 491. Suppose 0 = -55*d + q*d + 7817. Is d a prime number? True Suppose 21 + 51 = 3*o. Suppose 5*z + o = -5*m - 26, 0 = 3*m + 2*z + 32. Is (-21584)/m + 2/6 a composite number? True Suppose 22460 = -5*m + s + 4*s, 2*m - 3*s + 8979 = 0. Let k = -2318 - m. Is k prime? True Let h = -1038 - -1778. Suppose -3*s + h = -499. Is s composite? True Suppose x = 2*x + 4*w - 3316, 5*x - 16511 = 3*w. Let i = x - -1395. Is i a prime number? False Let h = -18450 + 32242. Let u = h + -3387. Is u a prime number? False Let t(l) = 2*l**3 + 69*l**2 - 43*l - 86. Let m be t(-35). Suppose -3*x + 124 + m = -f, 2*x - 3*f - 212 = 0. Is x composite? True Let q(a) = -4824*a**3 - a**2 + 13*a - 4. Let y(b) = 7236*b**3 + b**2 - 20*b + 6. Let d(u) = -8*q(u) - 5*y(u). Is d(1) a prime number? False Let d(i) = -32*i - 196*i - 267 - 170*i + 51*i - 297*i. Is d(-7) prime? True Let a(m) = 37*m**2 - 8*m - 14. Let t be a(-5). Let c = -502 + t. Is c a composite number? False Let r = -169735 + 339816. Is r a prime number? True Let o(v) = 6129*v**2 - 37*v - 35. Is o(-1) prime? True Suppose 3*y - 3 = -6*v + 2*v, v = 4*y + 15. Let q be (2*v/(-2))/((-21)/98). Suppose 20*z = q*z + 4110. Is z composite? True Let g(t) = -28*t + 140. Let o be g(5). Suppose -2*s - 2*i + 1050 = 0, o = -4*s + i - 3*i + 2092. Is s prime? True Let f be (58/(-8))/((-2)/8). Let s = f + -20. Suppose -s*o + 124 = -5*o. Is o a composite number? False Is ((-745214)/(-10))/((1421/435)/49) a composite number? True Suppose -22*r + 18*r = 235744. Is 5/4 + (r/(-32) - -4) a prime number? True Let j = 66 + -23. Let g = j + -38. Suppose g*w = 1310 - 225. Is w prime? False Suppose 2*z - 39*b - 83435 = -36*b, 83440 = 2*z + 2*b. Is z a prime number? True Let n(t) = -3*t**3 + t. Let k(s) = 22*s**3 + 4*s**2 + 10*s - 43. Let f(p) = k(p) + 6*n(p). Is f(4) prime? False Suppose -3*z + 330460 = b, -63*z + 550766 = -58*z + b. Is z prime? False Let m = 25 - 25. Suppose 0 = -3*r - 3*g + g - 4, -5*r - 5*g - 15 = m. Suppose r*i = -2*i + 2884. Is i a prime number? False Suppose 24325 - 2549 = 16*x. Is x a prime number? True Suppose -4*u + 204075 - 40246 = -18407. Is u a prime number? False Let r = -40 + 42. Is 13 + (-450560)/(-56) - r/(-7) a prime number? True Let x(b) = 37*b - 75*b - 60*b + 4 - 39*b. Is x(-17) a composite number? False Let m(h) = 143424*h + 83. Is m(7) a prime number? False Suppose c - 4*c = -4*z + 120, -z + 23 = c. Suppose -29*p = -z*p - 2982. Let m = 2732 - p. Is m a composite number? True Suppose 256*j - 22710227 = 34302765. Is j a prime number? True Let k(q) = 701*q**2 - 372*q**2 - 1 - 2 + 2. Is k(2) composite? True Let v(z) = z + 20. Let n be v(-4). Let k(h) = -h**2 + 22*h - 13. Is k(n) a prime number? True Let n(q) = 3*q - 29. Let c(y) = -11*y + 117. Let w(f) = 2*c(f) + 9*n(f). Let r be w(-11). Let v = r - -1253. Is v a composite number? False Let h = 34 - 32. Let d be (15/(-18))/(h/(-12)). Suppose 5*w - 1981 = f, 15 + d = 5*f. Is w prime? True Let j = -670 + 366. Let s = j + 602. Is s prime? False Suppose -18564*a = -18537*a - 55415043. Is a composite? False Let m = -44805 + 169664. Is m prime? False Let z(w) be the first derivative of 2*w**3/3 + 431*w - 115. Is z(0) a composite number? False Suppose -18*o - 541940 + 2209154 = 0. Is o a composite number? False Suppose -47*d - 17*d = -1010401 - 413407. Is d prime? True Let z = 1 + -107. Let j = 255 + z. Is j composite? False Suppose 0 = -11*q + 12*q - 10. Suppose -8*y - q = -42. Suppose -82 = -y*u - 3*a + 136, u - 55 = -a. Is u a prime number? True Is (-19803)/(-2) - (35/10 + -3) a composite number? False Suppose -115*p + 2560489 = -98*p. Is p a prime number? True Let u(l) be the third derivative of 13*l**7/1260 + l**6/240 + l**5/4 + 20*l**2. Let d(f) be the third derivative of u(f). Is d(8) prime? True Let a(k) = 6*k + 7. Let i be a(-2). Let w be (i - -1)/4 - -10367. Let b = w + -6125. Is b composite? False Suppose u = -22*u + 139955. Suppose -5*z - u = -5*s, -s - 2*z = 2*z - 1197. Is s composite? False Let y(q) = -11*q + 12. Let p be y(4). Let k be 2/8 + 0 - 14904/p. Let n = k - 201. Is n composite? True Let h(b) = 2*b + 12. Let a(o) = -6*o**3 + 2*o**2 - 2*o + 1. Let l be a(1). Let n be h(l). Suppose -1 - 5 = 3*v, -3*q - n*v = -2981. Is q composite? True Suppose 119*n - 395607 = 117*n + d, 0 = 2*n + 4*d - 395602. Is n composite? False Suppose -77705 = 32*v + 40407. Let c = 11333 + v. Is c a composite number? True Suppose 263*z - 125*z - 125*z = 423293. Is z a composite number? False Let q(m) = 23283*m**2 + 119*m + 237. Is q(-2) a composite number? False Let z(g) = 12*g**3 - 2*g**2 + 9*g - 7. Let f = 49 + -53. Let n be 2/8 - (0 - (-11)/f). Is z(n) a composite number? True Let i(x) = -4*x**3 + 22*x**2 + 6. Let u(p) = -p**3 + 2*p**2. Let y(g) = i(g) - 10*u(g). Is y(4) a composite number? True Is 16/4 + -8 - (-411551)/7 prime? True Let o(c) = -c**3 + 12*c**2 - c + 14. Let h be o(12). Suppose -f - 7 + h = 0. Let w(n) = -58*n + 9. Is w(f) prime? False Is (-6)/(-11) + 5864049/33 prime? False Let x(l) = -2*l + l**2 - 42*l**3 + 0*l - 2*l**2 - 5 - 24*l**3 - 5*l**3. Is x(-3) prime? False Suppose 3*a = -3*w + 2733, -921 = -a + 3*w - 6*w. Suppose 3*m = 0, -2*z - 2*m - a = -3430. Is z prime? False Let y(m) = m**3 - 15*m**2 + 12*m + 14. Let v be y(14). Let a be (12/(-8))/((v/15888)/7). Suppose 9*k + 3*k = a. Is k composite? True Suppose x + 2 = -3. Let v(d) = 439*d. Let z be v(x). Let i = -352 - z. Is i prime? False Let s(y) = -10*y - 4. Let m be s(-6). Suppose z = -z + m. Suppose 2*w - z = 2*r, -4*w - 2*r = r - 35. Is w a prime number? True Let z(k) = -k**3 - 9*k**2 + 13*k + 34. Let n be z(-10). Suppose -20 = n*q + q, 1741 = c - 5*q. Is c composite? False Is (-73)/((12/32)/(9*(-8)/96)) a prime number? False Suppose 7*i - 4 + 11 = 0. Let y be i/3 + 4136/6. Let c = y + -312. Is c a composite number? True Suppose -112 = 2*k + k - b, -5*k - 187 = -2*b. Let a = -35 - k. Is a + ((-5736)/32)/(2/(-8)) a composite number? False Let m = -102545 - -315214. Is m prime? True Suppose 2*u + 1558970 = 2*l, 2*l - 4*u - 2097315 + 538329 = 0. Is l prime? True Is -4*(-124715)/30*51/34 prime? True Suppose -30464 = -13*j - 4*j. Suppose -1492 - j = -2*b. Is b prime? False Let b(a) = a**3 + 7*a**2 - 2*a - 11. Let r be b(-7). Suppose r*v + 3*v = 22986. Is v/12 - 1/4 a composite number? True Suppose -2*t = -6*t - 28*t + 4867232. Is t a prime number? False Let d = 4 + -4. Suppose d = -3*z - 55 + 70. Suppose -2*t - 5038 = -4*t + 2*c, z*t = -3*c + 12611. Is t a prime number? True Suppose 3*s + 89*i - 1195783 = 87*i, -3*s - 5*i = -1195762. Is s prime? False Let x(m) = -3*m**2 + 23*m - 18. Let a(w) = -4*w**2 + 23*w - 17. Let l(y) = -2*a(y) + 3*x(y). Let j be l(15). Suppose -j*q + 564 = -96*q. Is q composite? True Suppose -17*h + 132885 = -522788. Suppose 4*p = l + h, -p - 528 = 3*l - 10180. Is p a composite number? False Suppose -23*g + 22*g + 5*v + 257381 = 0, -3*g + 2*v + 772143 = 0. Is g comp
{ "pile_set_name": "DM Mathematics" }
-1977*k - 2*k**3 + 2 + 1979*k + 3*k**2 + k**3 + 3*k**3 to the form d*k + x + n*k**3 + u*k**2 and give n. 2 Rearrange -139 + 5*g + 174 - 2*g + 9*g - 4*g to l + h*g and give h. 8 Express 116*n - 6 + 4 - 115*n + 12*n**3 + 2*n**2 as k*n + h*n**3 + a + p*n**2 and give h. 12 Rearrange (9184 + 373 + 3018 + 2973)*(3*j**3 + j**3 - 3*j**3) to c + z*j**3 + o*j + v*j**2 and give z. 15548 Express (0 + 0 - 6)*(-61*m**3 - 28*m**3 - 160*m**3)*(-2*m - 5 + 5) as g*m + y + q*m**4 + d*m**2 + t*m**3 and give q. -2988 Express 311*k - 2*k**3 - 3 + 2*k**4 + k**2 - 313*k + 5*k**3 in the form m*k**3 + j*k**4 + c*k**2 + a + l*k and give j. 2 Express 688*l**2 - 576*l**2 - 568*l**2 + (-5 - 1 + 4)*(-5*l**2 + l**2 + 3*l**2) + 2*l**2 - 1 + 1 in the form i*l**2 + q + o*l and give i. -452 Rearrange -4*j**4 - j**3 + 13659*j - 13659*j + 26*j**2 to x*j**4 + l*j**3 + q + o*j**2 + n*j and give o. 26 Rearrange -39*z + 25*z + 231*z + 106*z to the form r*z + t and give r. 323 Express 10 + 4*v**2 + 27 - 21 + (2*v + 3*v - 6*v)*(3*v - 3*v - 2*v) - 2*v - v**2 + 2*v as u*v + p*v**2 + m and give p. 5 Rearrange ((6*c - 3*c - 5*c)*(0*c + c - 3*c) - 2*c**2 - 18*c + 18*c)*(243 - 492*c - 494*c + 987*c) to s*c**3 + u + o*c**2 + g*c and give o. 486 Rearrange (-389*g**2 + 657*g**2 - 386*g**2)*(0 + 0 + 2)*(2 - 3 + 2) to o + m*g**2 + t*g and give t. 0 Express -3 + 1 + 13 + 7 - 4 - 2*w as b*w + h and give b. -2 Express -1 + 639*w**3 + 558*w**3 - 1280*w**3 + 2*w + w**2 in the form s*w + t*w**3 + z + y*w**2 and give y. 1 Rearrange (-12*c + 45*c + 0*c)*(11*c - 6*c + 10*c) to f*c + m*c**2 + y and give m. 495 Rearrange 36*f - 17*f - 2 - 8*f - 49*f**3 - 12*f to l*f**2 + w*f + z*f**3 + n and give n. -2 Express -4*a + 28*a + 10*a**3 - 4*a - 6*a**3 + 3*a**3 in the form i*a**3 + n*a + k + r*a**2 and give r. 0 Rearrange 3532*z**3 + 4*z**2 - 2 + 22*z**2 - 3528*z**3 to the form q*z + a + b*z**3 + l*z**2 and give b. 4 Rearrange 31*h**2 + 38*h**2 - 99*h**2 - 2 + 27*h**2 + 34*h**3 to l + o*h**3 + a*h + z*h**2 and give o. 34 Express (-5*p - 5*p + 0*p)*(p**3 - 3*p**3 + 0*p**3) - 3 + 2*p**4 + 3 in the form o*p**4 + c*p**3 + q + z*p**2 + i*p and give o. 22 Express 2 - 12 + 10 - 11*a as j + d*a and give d. -11 Rearrange 9*c**2 + 15*c**2 + 9*c**4 + 13*c**2 - 2*c - 30*c**2 + 1 to q*c + x*c**3 + t + n*c**4 + d*c**2 and give t. 1 Express -4 - 2*w + 4 + (-1 - 3 + 7)*(4 - 4 - w) - 129 - 23*w + 129 as s + h*w and give h. -28 Rearrange (1 - 3 + 1)*(-2*s**2 + 4*s**2 + 0*s**2) + 10 - 4*s**2 - 20 + 16 to the form g + b*s**2 + i*s and give b. -6 Express (-25*o**2 + 52*o**2 - 25*o**2 - 20)*(9*o**2 - o + o) as m + k*o + n*o**4 + z*o**3 + b*o**2 and give b. -180 Rearrange 10*x**2 - 30*x**2 + 0*x**3 + 10*x**2 - x**3 + 12*x**2 + 364*x to the form w*x**2 + z*x + q + v*x**3 and give z. 364 Express 84765*s + 1528*s**2 - 84765*s as k + r*s + x*s**2 and give x. 1528 Rearrange (-2 + 1 + 0)*(0 + 7 + 2)*(-5 - 3*y + 5) + 3*y + 4*y + 4*y to v*y + r and give v. 38 Express -1 + 1 - 3*q**2 - 3*q**2 - 4*q**3 + 0 - q as g*q**3 + a + v*q + o*q**2 and give v. -1 Express -2*i - 89 + 90 + 7*i**3 - 2*i**3 - 19*i**2 as b + c*i**3 + r*i**2 + g*i and give b. 1 Express 8*l + 46 - l - 6*l as d*l + i and give d. 1 Rearrange l**3 + 13*l**4 - 2*l - 14*l**4 + 2*l**2 + 17*l**2 + 145*l**2 to d*l**3 + k + h*l + x*l**4 + w*l**2 and give d. 1 Express (-3 + 3 + 2*q + (-6 + 2 + 12)*(2*q + 0 + 0))*(-5*q - q + q) as y*q + d*q**2 + o and give d. -90 Express -5*o + 871 + 889 - 1807 as q*o + a and give a. -47 Express 19 + 129 + t - 44 + 75 + 23 as n*t + z and give z. 202 Express (-176*x - 14*x**2 + 176*x)*(-15*x**2 + 8*x**2 - 8*x**2) + x**4 + 3*x - 3*x as u*x**2 + f + p*x**4 + r*x + m*x**3 and give p. 211 Rearrange 116*r**3 + 2*r - 12*r**3 - r**2 - 8*r**3 to f*r**2 + b*r + c*r**3 + u and give b. 2 Express (3 + 1 - 2 + (1 - 7 + 4)*(-2 + 3 + 2))*(4*z**3 + 29 - 29 + 9*z**2) in the form w + j*z**3 + b*z + c*z**2 and give c. -36 Express 6*w**3 + 0 + 1 + 4*w - 6 - 2 - 3*w in the form b*w + y + g*w**3 + u*w**2 and give y. -7 Rearrange -22*z + 2 - z**2 + 2 + 6*z + 11*z to b*z**2 + j + x*z and give b. -1 Rearrange 7 + 0*d**2 - 5 + 4*d**2 - 1 to the form a*d**2 + i + s*d and give s. 0 Express (-7 - 149*j + 7)*(-28 + 21*j**2 + 28) as l + n*j**2 + u*j**3 + t*j and give u. -3129 Rearrange 5*l**3 + 21*l**3 - 17*l - 19*l**3 + 4*l**3 to the form g*l + r + n*l**3 + v*l**2 and give g. -17 Express 1131 - 370 - 353 - 363 - 2*w as v*w + f and give f. 45 Rearrange -273*g**2 - 141*g**2 - 91*g**2 to the form j*g**2 + l + s*g and give j. -505 Rearrange (2*x + 1 + 2 - 4)*(x**2 - x**2 - x**3) - 126*x**4 - x**4 - 21*x**4 to y*x + k*x**3 + j*x**4 + m + f*x**2 and give m. 0 Rearrange (2 - 8 - 2 + (0 - 3 + 5)*(0 + 0 - 1))*(f + 0*f - 3*f)*(-10 + 18*f + 22 - 10) to r*f**2 + s*f + p and give s. 40 Express (o**3 + 16*o**3 - 4*o**3)*(0 + 0 + 1) - o**3 + o**2 - o**2 + (-2*o + 2*o + o**2)*(3*o + 3 - 3) in the form g*o**2 + u*o + h + i*o**3 and give i. 15 Rearrange 105*c - 153*c - 184*c to k*c + i and give k. -232 Rearrange -34*h + 26*h - 65*h to x + a*h and give a. -73 Rearrange (-2*x + 3*x + 2*x)*(14*x - 2*x - 2*x)*(-40*x - 45*x + 67*x) to p*x + k*x**2 + n + u*x**3 and give k. 0 Express b**3 + 4*b**2 - 2*b**2 - 27815 + 27798 as q + m*b + r*b**2 + j*b**3 and give q. -17 Rearrange (-4*a**2 - 3*a**2 + 5*a**2)*(-4*a - 2 + 2) + (0 - a + 0)*(-a**2 + 7*a**2 + 13*a**2) to g*a**3 + l + n*a + j*a**2 and give g. -11 Rearrange (498 - 1131 - 461 - 1617)*(-y + 0*y - y) to the form r*y + z and give r. 5422 Rearrange (10*x**2 + 26*x**2 - 54*x**2)*(-13 - 6 + 23) to the form d*x**2 + t*x + w and give d. -72 Rearrange (-a - 26 - 149 - 48)*(4*a - 5*a - 2*a) to the form w*a**2 + c + q*a and give w. 3 Rearrange 8*y**3 + 4045*y**4 - 2 - 2021*y**4 + y - y**2 - 2023*y**4 + 7 to d*y**3 + r + s*y**4 + b*y**2 + t*y and give b. -1 Rearrange -102*h**3 + 178*h**3 - 254*h**3 - 267*h**3 + (-2*h + 0*h + h)*(-3*h**2 + 2*h**2 + 0*h**2) to z*h**2 + q*h**3 + j*h + k and give q. -444 Express -6*f + 2*f**4 - 597*f**2 + 4*f + 596*f**2 + 6 in the form p*f**3 + z*f + a + y*f**4 + v*f**2 and give a. 6 Rearrange 4*g**2 - 2 - 235*g + 91*g + 93*g to y + d*g + b*g**2 and give d. -51 Rearrange 2*g**4 + 22*g**2 + 1277261 - 1277261 - 9*g**3 to h*g**3 + z + x*g + n*g**2 + q*g**4 and give q. 2 Express (-4 - 4 + 4)*(-2*g**3 + 5*g**3 - 2*g**3)*(-49 - 115 + 8)*(-4 + 2 + 3) as b + v*g + h*g**3 + y*g**2 and give h. 624 Rearrange -36 - 99 - 29 - 2*q to the form p*q + x and give p. -2 Express (16 + 23 + 31 - 2)*(15*l**4 + 0*l**4 - 3*l**4) in the form h + q*l**2 + d*l + f*l**3 + k*l**4 and give k. 816 Rearrange -72*p**2 - 9*p + 9*p + 89*p**2 to a*p + g + k*p**2 and give k. 17 Rearrange (-2 - 1 + 2)*(4*f**3 - f**3 - 2*f**3)*(31 - 90 + 8) - f**3 - f**2 + f**2 to the form j*f**3 + s*f + v + m*f**2 and give j. 50 Express 21*s**2 - 875 - 38*s**2 + 19*s**2 - 2*s + 0*s in the form w*s + l + f*s**2 and give f. 2 Express 57 - 7*h**2 + h - 35 - 24 in the form u*h + p*h**2 + l and give p. -7 Rearrange 2*x**4 + 0*x**4 + 23*x**2 - 3*x**3 - 7*x**2 + 5*x**3 to w*x**4 + h*x**3 + i*x + a*x**2 + d and give h. 2 Rearrange (-7*u + 2*u + 0*u)*(2*u**2 + 1 - 1)*(3*u - 3*u + u) - 2*u**4 + 4*u**4 + 0*u**4 to the form g*u**3 + j + i*u**2 + t*u**4 + o*u and give t. -8 Express -124*c - 10*c + 617*c + 618*c + 113*c in the form u*c + i and give u. 1214 Rearrange -178584*h + 180638*h - 4*h**2 + h**2 + h**2 to the form j*h + o + n*h**2 and give n. -2 Express 11*t**2 - t**2 + 16*t**2 - 3*t + 2*t**2 in the form x*t + k + s*t**2 and give x. -3 Rearrange 1 + 5*b**4 + 2 - 6*b**2 - 4*b**4 + 5*b**2 - 2*b**3 to the form j + i*b**4 + f*b + c*b**3 + o*b**2 and give j. 3 Rearrange (-4342*b + 7359*b - 3650*b)*(-5*b**2 + 2*b**2 + 2*b**2) to w*b**3 + t*b + s + k*b**2 and give s. 0 Express (-129 + 67 + 64)*(3*s - s**4 - 3*s) + 0*s**4 - 4*s**4 + 5*s**4 in the form h + m*s**4 + t*s + g*s**3 + p*s**2 and give m. -1 Express (-7*u - u - u)*(-7 + 7 - 3*u**2) + 118*u**2 - 6*u**3 - 60*u**2 - 7*u - 59*u**2 in the form p + j*u**3 + h*u**2 + w*u and give w. -7 Rearrange 10*m**4 + 20*m**2 - 20*m**2 + (-2*m**3 + m**3 + 3*m**3)*(-41*m + 79*m - 55*m) to the form o*m + f + d*m**3 + t*m**4 + i*m**2 and give t. -24 Express (-16*y - 9*y + 5*y)*(0*y + y + 0*y) - 61*y**2 - 8 + 19*y**2 + 8 as b*y + g*y**2 + m and give g. -62 Express 4*w*
{ "pile_set_name": "DM Mathematics" }
e b(11). Suppose 5*n = 8*n - z. Differentiate 3*l + n + 0*l + 4*l wrt l. 7 Let s(x) be the first derivative of 231*x**4/2 - 74*x**3 + 365. Find the third derivative of s(o) wrt o. 2772 Suppose -13*w + 9 = -30. What is the first derivative of -10 + 18*u**w + 8*u**3 - 2*u**3 wrt u? 72*u**2 Let k(x) = x. Let d(w) = 2*w + 13. Let b be d(-4). Let i(v) = b - 4 + 9*v - 2*v + 0*v. Let t(l) = i(l) + 6*k(l). Differentiate t(a) wrt a. 13 Suppose 5*z + 15 = -5*i, -4*i + 5*z + 15 + 18 = 0. Suppose -t = 3*t - 8. Find the third derivative of -i*f**t - 5*f**3 + 0*f**2 - f**2 wrt f. -30 Let i(s) be the first derivative of -3*s**3 - 3*s**2/2 + 2*s - 4. Let z(g) = g - 1. Let l(o) = i(o) + 3*z(o). Differentiate l(j) with respect to j. -18*j Let s(u) = -2*u**2 + 3*u**2 + u - 1 - 2*u - 2*u**2. Let g(i) = -8*i**2 - 6*i - 34. Let t(y) = -g(y) + 6*s(y). What is the derivative of t(q) wrt q? 4*q Let f(t) = 5*t**2 - 3*t. Let w(b) = b**3 - 9*b**2 + 5*b. Suppose 0 = 3*k - 5 - 10. Let v(h) = k*f(h) + 3*w(h). Find the third derivative of v(a) wrt a. 18 Let u(x) = x**3 + x**2 + x + 1. Let j(w) = -2*w**3 + 12*w**2 + 4*w**3 + 4*w + 4 - 8*w**3. Let n(v) = j(v) - 4*u(v). Find the third derivative of n(c) wrt c. -60 Let w = 10 + -8. What is the third derivative of -4*z**2 - 3*z**2 - 7*z**w - 5*z**6 - 11*z**6 wrt z? -1920*z**3 Suppose -13*d + 14*d - 86 = 0. Find the second derivative of d - 86 - 4*i - 3*i**3 wrt i. -18*i Let k(n) = n**3 + 8*n**2 - 7*n + 6. Let o be k(-9). Let p = o - -21. What is the second derivative of -p*s**2 - 2*s - 10*s + 3*s wrt s? -18 Suppose 0 = -2*i + 2, -2*j - j + 101 = 5*i. Differentiate 2*k**3 - 34 + j*k**3 - 4*k**3 wrt k. 90*k**2 Let a(u) be the second derivative of -u**5/10 - 13*u**4/12 + 43*u**3/2 - 77*u. What is the second derivative of a(t) wrt t? -12*t - 26 Let j(m) be the third derivative of 13*m**7/105 - m**5/20 + 3*m**4/8 - 2*m**2 + 8. What is the third derivative of j(l) wrt l? 624*l Find the second derivative of 1 + 1 - 125*t**3 + 47*t**3 - 30*t**2 + 33*t**2 - 31*t wrt t. -468*t + 6 Let m(h) be the third derivative of -17*h**9/72 + 137*h**5/30 + 42*h**2. Find the third derivative of m(k) wrt k. -14280*k**3 Let t = -10 + 15. Find the first derivative of 4 + t + 10*i**2 - 1 - 1 wrt i. 20*i What is the first derivative of 29 + 4 + 60 + 209*k + 160*k - 33*k wrt k? 336 Let r(t) be the second derivative of -t**6/30 - 9*t**5/20 - 47*t**2 - 118*t. Differentiate r(b) wrt b. -4*b**3 - 27*b**2 Let a(c) = c + 5. Let p be a(-2). Suppose -28 = -p*m - 3*u + 2*u, 0 = m - 4*u - 18. What is the second derivative of -2*h**2 + 15 - 26 - m*h + 11 wrt h? -4 Let j(p) be the third derivative of 0*p**3 + 0*p + 0*p**6 - 17*p**2 + 1/48*p**8 + 0 - 1/3*p**5 + 0*p**7 + 0*p**4. What is the third derivative of j(z) wrt z? 420*z**2 Let q = 76 + -70. What is the first derivative of -8*p**4 + q*p**4 + 6 - 50*p**4 wrt p? -208*p**3 Let y(z) be the first derivative of -23*z**5/5 + 279*z + 19. Differentiate y(n) wrt n. -92*n**3 Find the second derivative of -c - 383*c**3 + 27 + 359*c**3 - 3*c**2 + 44 wrt c. -144*c - 6 Let x(p) = -126*p**3 + 7*p**2 - 505*p + 5. Let a(i) = 63*i**3 - 3*i**2 + 252*i - 2. Let n(s) = 5*a(s) + 2*x(s). What is the second derivative of n(c) wrt c? 378*c - 2 Let j(w) be the first derivative of 23*w**5 - w**3/3 - 70*w**2 - 81. Find the third derivative of j(n) wrt n. 2760*n Find the second derivative of 15*d**3 + 2*d**3 + 33*d - 13*d - 3*d**4 + 8*d wrt d. -36*d**2 + 102*d Suppose 0 = -3*c - 3, -3*f + 2*c - 55 = -0*c. Let i = f + 21. What is the second derivative of -7*h**3 - 2*h**3 + 10*h**3 + 0*h + i*h wrt h? 6*h Suppose p + 32 = 5*p. What is the derivative of 13*o + 3 + p + 0 wrt o? 13 Let q(v) be the first derivative of 41*v**6/120 - 17*v**5/60 + 25*v**2 + 37. Let k(m) be the second derivative of q(m). Find the third derivative of k(o) wrt o. 246 Let g(v) be the first derivative of v**6/72 + v**5/10 + 4*v**3 - 11. Let w(i) be the third derivative of g(i). What is the second derivative of w(k) wrt k? 10 What is the third derivative of -49*b**4 + 239*b**4 - 21*b**2 + 178*b**2 + 13*b**2 wrt b? 4560*b Let o(s) = s**3 - 88*s**2 + 3*s - 361. Let t(z) = z**3 + 3*z**2 + z + 2. Let u(g) = o(g) - 3*t(g). What is the first derivative of u(b) wrt b? -6*b**2 - 194*b Let m(z) = z**2. Let l(o) be the first derivative of 59*o**3/3 + 12*o**2 + 46. Let d(j) = l(j) - 2*m(j). Find the second derivative of d(p) wrt p. 114 Let n be 0/(-2) + 2 + 0. Let x = 67 + -65. Find the second derivative of -d**n + 2*d**5 + 23*d - 26*d + d**x wrt d. 40*d**3 Let a = -3 + 8. Let o(c) = -7*c**3 - c**2. Let j be o(-1). What is the second derivative of j*k + k**a - 7*k + 2*k wrt k? 20*k**3 Let c(d) = 4*d + 8*d**3 - 7*d**3 + 4*d**2 + 6 - 4. Let g be c(-2). What is the first derivative of 10 + 4*n**2 + n**2 + 3*n**3 - 5*n**g wrt n? 9*n**2 What is the third derivative of -9 + 9 - 23*o**3 + 13*o**3 + 47*o**5 - 559*o**2 + 14*o**3 wrt o? 2820*o**2 + 24 Find the third derivative of -2 - 78*z**2 + 14*z**3 + 20*z**5 + 2 - 123*z**2 - 189*z**2 wrt z. 1200*z**2 + 84 Let b(f) be the third derivative of f**6/120 + 2*f**5/15 - f**4/24 + 9*f**2. Let q be b(-8). Find the third derivative of -85 - 6*x**2 + q*x**4 + 85 wrt x. 192*x Let m(z) be the second derivative of 9*z**2 + 0 + 20*z + 11/15*z**6 + 0*z**5 + 0*z**3 + 0*z**4. Differentiate m(q) wrt q. 88*q**3 Let p(u) = -9*u - 25. Let a be p(-6). Find the third derivative of 15*c**2 + 10732*c**3 - 10732*c**3 - a*c**4 wrt c. -696*c Let r = 698/39 + -198/13. Let d(y) be the first derivative of -r*y**3 - 1 + 0*y**2 + 0*y + 3/2*y**4. Find the third derivative of d(u) wrt u. 36 Suppose -4*q - 3*j = -29, -4*q + 3*j + 26 = -33. What is the second derivative of -q*p - 5*p + 4*p**2 - p - 2*p wrt p? 8 Let r(q) = -8*q - 14. Suppose 2*f + 1 = -1. Let u be 9/(-3) + 0/f. Let z(w) = -4*w - 7. Let c(g) = u*r(g) + 7*z(g). Find the first derivative of c(o) wrt o. -4 Suppose 15*k = 37 + 23. Let z(u) be the second derivative of 11/6*u**3 + 0 + 5/6*u**k + u + 0*u**2. Find the second derivative of z(p) wrt p. 20 Let v(x) be the third derivative of -x**7/105 + 103*x**5/30 + x**4/12 + x**3/3 + 246*x**2. Find the second derivative of v(n) wrt n. -24*n**2 + 412 Let o = 81 + -77. What is the first derivative of -49*f**o + 73 - 30 - 33 wrt f? -196*f**3 Let o(g) be the first derivative of 8 - 17*g + 17/4*g**4 + 0*g**3 + 0*g**2. Find the first derivative of o(s) wrt s. 51*s**2 Let i = 21 - 41/2. Let o(q) be the third derivative of 0 + 2*q**2 + 5/24*q**4 + 0*q + i*q**3. What is the derivative of o(x) wrt x? 5 Let v(b) = 2*b**2 + 1. Let o be v(-1). Suppose -2*g + 5*x = 17, -3*g - 1 = -2*x - o. What is the second derivative of -2*q + 0*q**4 - 7*q**4 + 2*q**g wrt q? -60*q**2 Let j(f) = -f**2 + 8*f + 11. Let v(r) = -2*r + 3. Let t be v(-3). Let l be j(t). What is the second derivative of 2 - 8*q - 41*q**4 + 37*q**4 - l wrt q? -48*q**2 Differentiate 248 - 194*c + 303*c - 201*c wrt c. -92 Differentiate 107 + 4*j + 61*j**3 - 4*j + 31 + 31*j**3 wrt j. 276*j**2 Let j(l) = -l**2 - l. Let k(t) = 43*t**3 - 2*t + t**2 - 21 + 17 + 3*t. Let w(q) = -j(q) - k(q). What is the derivative of w(x) wrt x? -129*x**2 Let v(y) be the second derivative of -1/4*y**4 - y + 4 + 37/2*y**2 + 1/15*y**6 + 0*y**5 + 0*y**3. Differentiate v(q) with respect to q. 8*q**3 - 6*q Let y(x) be the first derivative of 29/3*x**3 + 0*x**2 + 0*x**6 + 0*x**4 + 0*x**5 - 8 + 0*x - 6/7*x**7. What is the third derivative of y(h) wrt h? -720*h**3 Let o(q) = -165*q**2 + 4*q - 24. Let s(u) = 330*u**2 - 9*u + 49. Let x(p) = -9*o(p) - 4*s(p). What is the first derivative of x(j) wrt j? 330*j Let k be (-3 - (-4 + -1)) + -16. Let j = k + 16. Differentiate -2*r**2 + r**j + 2*r**2 + 7 with respect to r. 2*r Find the third derivative of -25186*s - 430*s**2 + 25186*s - 35*s**4 wrt s. -840*s Let j(i) be the third derivative of -i**7/105 - 7*i**5/60 - i**4/12 + 7*i**3/3 + 97*i**2. Find the second derivative of j(p) wrt p. -24*p**2 - 14 Let m(x) = 5*x - 7. Let p be m(2). Suppose 0*k - 4*k + 2*y - 10 = 0, -15 = -3*k - p*y. Differentiate 1 - 2*v**2 - 5*v**2 - v**2 + k with respect to v. -16*v What is the third derivative of 30*a**2 + 147*a**2 + 296*a**2 - 36*a**2 + 499*a**5 wrt a? 29940*a**2 Let t(n) = -220*n**4 + 6*n**3 + 6*n + 479. Let l(w) = 442*w**4
{ "pile_set_name": "DM Mathematics" }
6*v - 2*v + 24, 2*v - 4*y = 6. Let u be m(v). Let l = u + 65. Is l a multiple of 11? True Let p(x) = -x**3 + 11*x**2 + x + 3. Let a be p(11). Let d be ((-7)/a)/(1/2). Is 3 + d - 10*-7 a multiple of 16? False Let h(u) = -u**3 + 15*u**2 + 18*u - 34. Is 18 a factor of h(-10)? True Suppose -3*z = z - 4*u - 40, 3*z = -3*u. Suppose -x + 0*x + z = 0. Is 17 a factor of (-7 + x)/((-4)/54)? False Suppose -t = -0*t - 2. Suppose t*n + n - 47 = 4*a, 4*a = 16. Does 3 divide n? True Let v(o) = -o**3 - 12*o**2 - 2*o - 1. Let c be v(-12). Let n = 12 - c. Is (-2)/n - (-350)/11 a multiple of 12? False Let u(b) = 3*b**2 + 15*b + 205. Is 20 a factor of u(20)? False Let p be 16/5 + 1/(-5). Suppose -p*g + 86 = -g. Is g a multiple of 10? False Let d(c) = -c**2 + 53*c + 14. Is d(18) a multiple of 4? True Suppose -5*t - 30 = 5*h, -5*h = 4*t - 0*t + 28. Does 11 divide -3*44*h/12? True Let d(p) = -p**3 - 12*p**2 + 5*p - 7. Let h(c) = -5*c**3 - 49*c**2 + 20*c - 28. Let j(b) = -9*d(b) + 2*h(b). Is 12 a factor of j(9)? False Suppose -892*g + 909*g - 8432 = 0. Does 16 divide g? True Let n = 21 - 19. Suppose -2*m - y + 47 = -56, 2*m + n*y = 102. Let h = 102 - m. Is h a multiple of 23? False Let y(r) = 2*r - 19 - 25*r + 14*r. Is y(-15) a multiple of 13? False Let n be (4/4)/(3/(-9)). Is ((-20)/5 + -215)*1/n a multiple of 19? False Suppose -21801 = -16*y + 11543. Does 18 divide y? False Let c = 17 + -4. Let x = 57 - 58. Let n = c + x. Is n a multiple of 4? True Let m = 11 - 6. Let t(u) = 5*u**3 + 3*u**2 + 4*u. Let s be t(3). Suppose 0 = -b - 3*p + 64, -3*b + s = m*p - 2*p. Is b a multiple of 15? False Let g(z) = z**2 - 12*z + 16. Let c be g(11). Suppose 4*s + 5*y - 84 = 2*s, 0 = 5*s - c*y - 140. Does 8 divide s? True Let w be (-6)/(-9)*4/(8/(-3)). Is ((-68)/(-6))/(w - (-34)/30) a multiple of 10? False Let r be (1 + -2)*3 + 9. Let j be 0*(2 - 15/r). Does 16 divide (j - -4)/((-4)/(-16))? True Let v(y) = 1 + 0*y - 9*y + 0*y. Let c = -905 - -902. Does 7 divide v(c)? True Is 19749/13 + (-560)/91 + 6 a multiple of 10? False Let r(t) = t**2 - 4*t - 4. Let x be r(-7). Let h = x - -23. Is 22 a factor of h? False Let v(u) = 8 - 4*u**2 + u**3 + 13*u**2 + 9*u - 3. Does 10 divide v(-7)? True Let n(p) = 20*p**2 - 7*p - 26. Does 23 divide n(-6)? True Let c(v) = -v**3 + 6*v**2 + 2*v + 35. Let x be c(7). Suppose x = -2*j + b + 242, 3*j - 4*b = 2*j + 128. Is j a multiple of 15? True Let v(y) = -y**3 + 5*y**2 + 4*y + 10. Let n be v(6). Does 10 divide 2*((-199)/n - -3)? False Let p be 9009/15 - 2/(-5) - -2. Suppose -5*n = -p - 42. Does 11 divide n? False Let x = 15 - 1. Is 8 a factor of x? False Let v(b) = b**2 + 27*b + 126. Is 24 a factor of v(-40)? False Let b(f) = 2*f - 2*f + 10 - 1 + 4*f. Let m(l) = -7*l - 18. Let s(v) = 5*b(v) + 3*m(v). Does 2 divide s(-11)? True Does 18 divide 4 + ((-24)/30)/(2/(-485))? True Is (-1449)/(-54) - 9/(-54) a multiple of 2? False Suppose r + 5 = -2. Let v = r - -13. Is 7 a factor of 63/v*(-4)/(-2)? True Let o be 9/(-5)*(-20)/6. Let y = -2 + o. Let f = y + 6. Does 10 divide f? True Let s(i) = 4*i + 4. Suppose 234 = q + 8*q. Is s(q) a multiple of 21? False Suppose s - 15*o - 78 = -10*o, 3*s - o - 248 = 0. Is s a multiple of 4? False Does 44 divide -22*-12*(-6)/(-9)? True Let o = -3 - -2. Let x = 7 - 5. Does 14 divide x/2 + (-64)/o? False Let f be (2 - (-4 + 2)) + 20. Let o(v) = 3 + 4 - 2 - 6 - f*v. Is o(-1) a multiple of 4? False Suppose 0 = -14*o + 19*o. Suppose o*k - 398 = -2*k. Suppose -4*d + 185 = -k. Does 32 divide d? True Let g(u) = 8*u**2 + 13*u - 78. Is 28 a factor of g(6)? False Let m(r) = 32*r**2 + 60*r - 6. Is m(-3) a multiple of 4? False Let t(m) = m**3 - m**2. Let j = 8 - 8. Let r be t(j). Suppose r = 18*f - 17*f - 6. Is f a multiple of 6? True Let m(z) = 6*z - 37. Let v be m(7). Does 7 divide v/(-20)*8*-1 + 12? True Let a = 41 + 11. Is -3 + a + (-1 - 3) a multiple of 8? False Let h(s) = s**2 + 7*s - 24. Does 5 divide h(4)? True Suppose -35*s + 14824 = 1524. Does 27 divide s? False Let o = -162 - -282. Suppose 0 = 4*g + 2*h - 94, 4*g - 5*h = 9*g - o. Is g a multiple of 3? False Let j(m) = 13*m + 0*m**2 - 1412 + m**2 + 1449. Does 5 divide j(-12)? True Is 15 a factor of 1489 + 4*(-5)/5? True Let b(h) = -58*h + 452. Is 6 a factor of b(0)? False Suppose -3*b - 5 + 20 = 0. Suppose 86 = b*l + 21. Let x(f) = -f**2 + 15*f + 16. Is 12 a factor of x(l)? False Let s = 3058 + -1832. Does 25 divide s? False Suppose -3*f + 5*a + 199 = 0, -5*a + 194 = 3*f - 9*a. Does 4 divide f? False Let h(m) = -m**2 + m - 51. Let g be h(0). Let o = -9 - g. Does 17 divide o? False Suppose -4*v - 14 = -34, 5*v - 25 = -5*f. Suppose f*a + 2 = a. Suppose -a*o = o + 5*t - 30, 4*o - t - 40 = 0. Is o a multiple of 4? False Suppose 0 = -i - 5 - 5. Let c = 69 - 37. Let h = c - i. Is h a multiple of 14? True Suppose 0 = 6*v + 96 + 102. Let x = v + 58. Is x a multiple of 23? False Let a = 12 + -16. Let y = -1 - a. Suppose -2*p = -4*i + y*p + 55, -3*i = 5*p - 85. Is 10 a factor of i? True Does 92 divide 845 + (-5 - 4) - 12? False Let u(v) = v**3 - 4*v**2 - 3*v - 7. Let a be u(5). Let y(w) = -w - w**3 - 8*w**a - w**2 + 1 + 0*w**2 + 1. Does 24 divide y(-2)? True Suppose u - 96 = 43. Is 10 a factor of u? False Let m be (1 + -7)*(-3 - -10). Let a = m + 79. Does 10 divide a? False Let l(k) = 4*k - 3. Let s be l(-1). Let v = 22 + s. Does 15 divide v? True Let w(l) = 5*l + 3. Let q be w(6). Suppose q*a - 34*a = -4. Is 2 a factor of a? True Let q(y) = y - 1. Let u be q(5). Suppose -4*i - 140 = -4*h, 0 = 4*i - 0*i - u. Is h a multiple of 12? True Suppose -13*x + 18*x - 3*s = 5188, -3*s - 3 = 0. Is 117 a factor of x? False Let g be (-404)/(-7) + 7/(98/4). Does 29 divide (0 + g)/(((-15)/(-2))/15)? True Suppose -5*n + 617 = 24*l - 20*l, -623 = -4*l - 3*n. Does 14 divide l? False Let d(k) = 19*k**2 + 9*k + 10. Let w be d(-3). Let f = w + -4. Does 30 divide f? True Let h(r) = r + 98. Is 4 a factor of h(6)? True Suppose -n + 19 = n + 5*k, 62 = 5*n - 2*k. Let y(g) = -g**3 + 14*g**2 - 15*g. Is 12 a factor of y(n)? True Let d = 76 - 3. Suppose -28*j + 27*j + d = 0. Is j a multiple of 17? False Suppose -y + i + 14 = 4*i, -2*y - 2*i + 48 = 0. Suppose -p = -y + 1. Is p a multiple of 5? False Suppose 5*p - 3*a = 8*p - 2985, 5*p = 3*a + 4935. Does 13 divide p? False Let l be (-67)/(1/(-2)*2). Let p = -38 + l. Is p a multiple of 5? False Let d(y) = -y**3 - 23*y**2 - 14*y + 26. Is 29 a factor of d(-23)? True Suppose -5*m - i = -135 + 32, 3*i = -3*m + 69. Suppose -m = 4*l, -5*f + 2*l + 100 = 525. Let v = 34 - f. Does 29 divide v? False Let w = 257 - -390. Is 14 a factor of w? False Let d = -5302 + 7901. Is d a multiple of 21? False Let q be 23/(-1) + (6 - 0) + -3. Let b = q + 104. Does 11 divide b? False Let t(w) = w - 3. Let h be t(10). Suppose -2*r + h*r = 210. Suppose v = -v + r. Is v a multiple of 12? False Let u be (-10)/(-20) - (-6)/4. Suppose -6*q = -u*q - 252. Is 16 a factor of q? False Let g = -44 - -47. Suppose -g*v - 4*p - 2 = 0, -4 - 9 = 2*v + 5*p. Does 3 divide v? True Let r(z) = 137*z - 738. Is r(12) a multiple of 6? True Let q be (3 + -1)*(-14 + 15). Suppose 0 = -4*p - 3*c + q, -5*p + 4*c + c + 20 = 0. Suppose 0*i + 5*i - 236 = -p*d, 4*d = -3*i + 150. Does 23 divide i? True Suppose 5*g + 15 = 5*a, 4*g + a + 3*a + 20 = 0. Does 5 divide (-2 + 10/g)*-6? False Let i(y) = 2*y**3 + 2*y - 8. Let t(g) = 1. Let k(x) = i(x) + t(x). Let c(p) be the first derivative of k(p). Is 28 a factor of c(-3)? True Is (-292)/(-3)*1 - 16/48 a multiple of 3? False Let f(h) be the second derivative of 0 + 3*h - 1/3*h**3 - 7/2*h**2. Is f(-7) a multiple of 2? False Suppose 2*y - 4*h = 2116, -3*y + 3189 = -3*h - 0*h. Let x be ((-5)/15)/((-1)/y). Suppose -x = -5*s - 6. Does 35 divide s? True Suppose 3*v - 2*v = -4, -5*v + 20 = 5*s. Suppose 259 = -k + s*k. Is k a multiple of 4? False Let t(s) = s**3 - 4 + s + s - s + s - 4*s**2. Let a be t(4). Does 4 divide (8/a)/((-1)/(-2))? True Is 4 a factor of (5824/65)/(6/15)? True Let t be (-2)/12 + 311/(-6). Let j(b) = b + 6. Let w be j(-12). Is (-39)/(-26)*t/w even? False Suppose 3*b = -5*c + 510, 0*b + 816 = 5*b - 3*c. Does 11 divide b? True Suppose 142*k + 7140 = 145*k. Is 51 a factor of k? False Let x = 17 - 14. Suppose x*h = -c + 6, -5*h = -6 + 1. Suppose 2*k - c*m = 117, 4*m - 53 + 27
{ "pile_set_name": "DM Mathematics" }
31. Let f = -17 - l. Let j(w) = 1420*w**3 + 0*w - 2844*w**3 - 2*w + 4*w**2 + 1423*w**3. Calculate j(f). 4 Let g be -2 + (-8735)/(-25) - (-2)/(-5). Let j(w) = -g*w - 348*w + 690*w. Let p be 8/(-12) - 1/3. Determine j(p). 5 Let p(o) = 8*o - 16*o + 1 - 11*o. Let w(x) = 171*x + 3250. Let k be w(-19). What is p(k)? -18 Let y(b) = -b + 18. Let z(a) = 27*a + 432. Let s(q) = 6*y(q) - z(q). Give s(-10). 6 Let x(h) = 7*h**3 + h**2 + 5*h. Let b(q) be the first derivative of -3*q**4 - q**3 - 9*q**2/2 - 83. Let o(f) = 3*b(f) + 5*x(f). Calculate o(-4). 8 Let n(f) = 4*f - 16. Suppose 0*w + 3*r = 5*w, 3*w = -r + 14. Suppose 5*s - 71 = 4*g, -10 = -2*s + w*g + 24. Give n(s). 28 Suppose 0 = 4*f, 0 = 30*j - 34*j - 5*f + 40. Let m(k) = 3*k - 26. Determine m(j). 4 Let f be 4/14 - 122/(-14). Let o(x) = 3*x**2 - 6*x + 3. Let l(s) = 13*s**2 - 23*s + 14. Let w(v) = -2*l(v) + 9*o(v). What is w(f)? 8 Let s(j) = -j**2 + 37*j + 112. Suppose 142*h + 116 + 250 = -60. What is s(h)? -8 Let n(l) = -3*l + 54. Suppose -42*u = -40*u - 3*b - 37, 2*b = 2*u - 38. Determine n(u). -6 Suppose 5*u - 2 = 6*u + 5*w, -u + w = 2. Let t(c) = -3*c + 10. Let p(i) = -2*i + 6. Let l(k) = -5*p(k) + 3*t(k). Determine l(u). -2 Let x(d) = -d**2 + 17*d - 51. Let p be x(5). Let b(k) = -k**2 + 13*k + 15. Calculate b(p). 51 Let j(h) = -h**2 + 8*h - 5. Let b = 209 - 206. What is j(b)? 10 Let l = -138 + 410. Suppose -9*h = -17*h - l. Let j = 32 + h. Let w(y) = -y - 1. Calculate w(j). 1 Let d(j) be the third derivative of j**5/60 + j**4/8 - j**3/2 - 14*j**2 - 39*j. Calculate d(6). 51 Let w(v) = -12*v**2 - 215957 - 3*v + 13*v**2 + 215958. Suppose 0 = x - 2*j - 13, 0 = -x - 4*j - 8 - 3. Calculate w(x). 11 Let z(q) = q**2 - 6*q - 3. Suppose -16*m + 9*m = -28. Suppose 3*v + 20 = -4*p, 3*p + m = 4*v + 14. What is z(p)? 13 Let q(n) = n**3 - 7*n**2 - n - 3. Let y(k) = 2*k**3 + 12*k**2 - 12*k + 28. Let g be y(-7). Suppose -g*c - 15*c = -203. Calculate q(c). -10 Let p(l) = -l**3 - 22*l**2 + 23*l - 2. Let q be p(-23). Let u(x) = 19*x + 1. Let g(j) = -18*j - 1. Let t(z) = 7*g(z) + 6*u(z). Calculate t(q). 23 Let g(r) be the second derivative of -r**5/20 + 7*r**4/12 + 2*r**3/3 - 7*r**2/2 + r + 7. Determine g(6). 53 Let q(d) = 13*d - 3. Suppose 10*n = -159 + 69 + 70. What is q(n)? -29 Let x(y) be the third derivative of -1/120*y**6 - 7/24*y**4 + 0*y + y**2 + 1/6*y**3 - 2/15*y**5 - 25. Determine x(-7). 1 Let t(w) be the first derivative of -7*w**3/3 - w**2/2 + 60*w + 35. Let r(l) be the first derivative of t(l). Determine r(1). -15 Let q = -6973/5640 + 117/94. Let k(v) be the third derivative of q*v**6 + 0*v**3 - 1/12*v**4 + 0*v + 0 + 2*v**2 + 0*v**5. Determine k(2). 4 Let k(p) = p**2 + 3*p - 8. Suppose 360 - 320 = -10*z. Let m be -1*4/8*z + -8. Determine k(m). 10 Suppose 36*x - 182 + 470 = 0. Let d(l) be the third derivative of -l**6/120 - 3*l**5/20 - 5*l**4/12 + 4*l**3/3 + 85*l**2. Calculate d(x). 24 Let m(y) = -4 - 2*y**2 - 3*y + 0*y**2 + 2. Let f = -134 + 114. Let d = -23 - f. Give m(d). -11 Let c(o) = -118*o**2 + 14 - 17*o + 3*o - o**3 - 2*o + 131*o**2. Give c(11). 80 Let n(m) = 10*m + 588*m**2 + 585*m**2 - 1172*m**2 - 7. Let p be -1*(4 + 15 - 0). Let o = 11 + p. Determine n(o). -23 Let f = 54 + -93. Let y be ((-3)/2)/(f/208). Suppose -11*u + y*u = 12. Let l(k) = k + 4. Give l(u). 0 Let o(v) = 37*v - 879 - 23*v + 1155. Give o(-20). -4 Let c = -5127 - -5119. Let z(l) = -l**2 - 7*l - 2. Give z(c). -10 Let b(w) = -w**3 - 4*w**2 + 3*w + 2. Let d be b(-5). Let z be d/20 - (-8)/20. Let i(h) be the second derivative of h**3/2 + h**2/2 - h. Give i(z). 4 Suppose -13379 + 13187 = -48*d. Let k(c) = 33*c - 126. Determine k(d). 6 Suppose 7 = -a + 17*b - 12*b, -4*a = b - 14. Let d(p) = -16*p + 34. Give d(a). -14 Let w = 4445 + -4447. Let r(b) = -b + 14. Determine r(w). 16 Let x(r) = -2*r**2 + 17*r - 16. Let p(v) = 13*v - 342. Let h be p(27). Calculate x(h). -25 Let b = -18 - -21. Suppose -4*z + 48 = 2*p, 35 = 5*z - b*p - 14. Let j(q) = 2*q - 20. Let g be j(z). Let c(o) = 7*o - 2. Give c(g). 12 Let x(d) = -4*d**2 - 13*d + 13. Let s(m) = m**2 + 1. Let q(c) = 5*s(c) + x(c). Determine q(12). 6 Let f(c) be the second derivative of c**4/12 - c**3/2 + 7*c**2 + 1183*c. Give f(5). 24 Let p(j) = -j**3 + 2*j**2 + 4*j - 11. Let y = -33901 - -33906. Give p(y). -66 Suppose 3 = -4*u + u - h, u + 2*h + 6 = 0. Let n(k) = -k**3 - k**2 - k - 25. Determine n(u). -25 Let i(y) = -6*y + 4. Let c(g) = g - 1. Let a(k) = 22*c(k) + 4*i(k). Let b = 14119 + -14111. What is a(b)? -22 Let j be (4/(-7))/(8/(-56)). Suppose 5*k + 3 = 4*a, -k = -5*a + j*k + 5. Let m(w) = 2 - 6*w - w**2 - a - 2. Determine m(-4). 6 Let k(m) = 7*m**2 - 6*m - 2. Suppose 0 = 1696*s - 1680*s - 64. Calculate k(s). 86 Suppose 0 = 2*m - 2 + 4. Let l be (m - 2/(-6))*3. Let a(y) = 29*y + 1. Let b(n) = 18*n + 1. Let f(v) = -3*a(v) + 5*b(v). Calculate f(l). -4 Suppose -2*a - 3*a - 81 = -2*g, 217 = 4*g + a. Let c(y) = -g*y**2 + 155*y**2 - 53*y**2 + 5 - 55*y**2 + y**3. Give c(6). 5 Let u(k) be the second derivative of -2*k**3/3 - 19*k**2/2 + 22*k. Let w be u(-3). Let g(m) = 4 + 4 - 15 - m - 3. Calculate g(w). -3 Suppose 6*o - 3 = 57. Let n(l) = 59*l + l**2 - 24*l + o - 26*l. Let p(y) = -y**2 + 8*y + 1. Let b be p(9). Give n(b). 2 Let o(x) = 45*x + 5. Let u(m) = 56*m + 7. Let a(v) = -5*o(v) + 4*u(v). What is a(-5)? 8 Let a(w) be the second derivative of w**4/12 - 4*w**3/3 + w**2/2 - w - 364. What is a(10)? 21 Let t be (-13)/(-2) + ((-45)/10 - -4). Let q(b) = b**3 - 8*b**2 + 11*b + 2. Determine q(t). -4 Let p(h) = -h**3 + 2*h**2 + 4*h - 2. Let i(j) = j**3 - 18*j**2 + j - 15. Let w be i(18). Suppose -18 = -5*l - w. Give p(l). 1 Let r = -80 + 95. Suppose -r*g = 14*g - 261. Let o(n) = 2*n - 10. Calculate o(g). 8 Let r(p) be the second derivative of -p**3/6 - p**2 + p. Suppose 17*i - 3 - 51 = 8*i. Give r(i). -8 Let c(s) = -s**3 + 8*s**2 - 5. Let g be 339/11 + 62/(-22) + 3. Suppose 0 = -17*h - g + 167. Determine c(h). -5 Let g(x) = 2*x**2 + 89*x - 60. Let d be g(-45). Let z(i) = -i**2 - 13*i + 29. Give z(d). -1 Let w(b) = -3*b - 51. Let q(p) = 14*p + 185. Let g(a) = q(a) + 4*w(a). Determine g(13). 7 Let k(c) = -2*c**3 + 3*c**2 - 3*c. Let o be 1/((-124)/(-215) - (-42)/(-70)). Let f = 45 + o. Give k(f). -10 Let u = 95 - 91. Let f be 1/(u/(-7) + 355/560). Suppose 4 - f = 4*y. Let o(k) = k**2 + k - 1. Give o(y). 5 Let z = 154 + -152. Let b(t) = 0*t - 1 + z*t + 0 + 20. Determine b(-6). 7 Let l(i) = -i**2 + 8*i + 13. Let x be l(8). Let d(f) = -15 - 11 + 40 - x + f**2 - f - 7*f**2. Let u be 2 + (1 - -1)/(-2). Determine d(u). -6 Let b(g) = -2*g**2 - 6*g - 5. Let k be (55/35 - 1) + 2568/14. Suppose 41*y - 61 = -k. Calculate b(y). -5 Let w(g) = 3*g**3 + 4*g**2 - 4*g - 6. Let s be w(-2). Suppose -15 = 5*m, 4 = 5*y + m + m. Let d(u) = -5*u + 5 - 5 - 4 - 6*u**y - u**3 - 2. What is d(s)? 24 Let q(r) be the second derivative of -r**4/6 - 8*r**3 + 20*r**2 + 978*r. Calculate q(-25). -10 Let x(n) = n - 15. Let f(q) = -19*q**2 - 29*q + 174. Let z(a) = -35*a**2 - 58*a + 348. Let v(r) = -11*f(r) + 6*z(r). Let s be v(5). Give x(s). -11 Let y(f) = 12*f**2 - 17*f - 23. Suppose 0*l + l = -6. Let j(t) = -4*t**2 + 6*t + 8. Let d(h) = l*y(h) - 17*j(h). Suppose -8*s = 9 - 4 + 11. Determine d(s). -14 Let j(a) be the third derivative of a**7/840 + a**6/240 - 7*a**5/120 - 233*a**4/24 - 9*a**2 + 3*a. Let b(x) be the second derivative of j(x). What is b(-5)? 53 Let s(t) be the third derivative of -t**4/12 + t**3 - t**2. Suppose -74*y + 136 = -66*y. Suppose 4*q - y = 4*a - 1, a - 20 = -5*q. Give s(q). -2 Let i(n) be the first derivative of n**3 - n**2/2 - 2*n - 238. Let p be (-2)/4 - 106/4. Let l be 1/(-4) - p/12. What is i(l)? 8 Suppose 2*b + 3*i + 24 = -1, -5 = 5*b - 4*i. Let y(x) = -5*x**2 - 26*x + 3. Calculate y(b). 8 Suppose 14411*c - 14425*c - 28 = 0. Let g(w) = -12*w**3 - w**2 + w. Calculate g(c). 90 Suppose -40*w + 3663 = -172*w - 201*w. Let z(j) be the third derivative of -j**5/60 - 11*j**4/24 + 5*j**3/6 + j**2. What is z(w)? 5 Let c(z) = -2*z**3 + 20*z**2 - 20*z + 24. Let f(u) = 3*u**3 - 38*u**2 + 33*u - 45. Let w(t) = 5*c(t) + 3*f(t). What is w(-14)? -1 Let i(h) = h**3 + 5*h**2 - 4*h + 4. Suppose -552 = -5*w + 1323. Let c = w - 381. Give i(c). -8 Let d(a) be the first derivative of -a + 5/2*a**2 - 1/4*a**4 - 20 + a**3. G
{ "pile_set_name": "DM Mathematics" }
at is the first derivative of 11443*i*l**3*v**3 - i*l**2 + 62*i*v**3 + 65*i*v wrt l? 34329*i*l**2*v**3 - 2*i*l Find the third derivative of 16254*m**4 + 15*m**2 + 2*m + 9 wrt m. 390096*m Find the third derivative of -2*f**2*q**3 - f**2 - 16410*f*q**3 + f*q + 1294*q**2 wrt q. -12*f**2 - 98460*f What is the second derivative of 7*b**5 + 47*b**4 + 10*b**3 - 6*b + 219? 140*b**3 + 564*b**2 + 60*b Find the second derivative of 5964*h**2 + 2*h + 8276. 11928 Differentiate -6053*c**4 - c - 64290 with respect to c. -24212*c**3 - 1 Find the third derivative of 25446*g**6 + 4637*g**2 - 2. 3053520*g**3 Find the third derivative of 25*m**5 + 25568*m**3 - 6074291*m**2. 1500*m**2 + 153408 Find the third derivative of 33105*v**6 + v**3 + 9*v**2 + 16*v + 1 wrt v. 3972600*v**3 + 6 What is the third derivative of -209*f**3*p*w**3 + 185*f**3*w**3 + f**3 + f**2*p*w**3 - 7419*f**2*w**2 - 13*f*p*w**3 wrt f? -1254*p*w**3 + 1110*w**3 + 6 Find the second derivative of 9*a**3*c*x**2 + 167*a**3*c*x - 2*a**3*x - a**2*c - 30121*a*c*x**3 - 6*a*x wrt x. 18*a**3*c - 180726*a*c*x Find the third derivative of 550601*q**4 + 2*q**2 - 125389 wrt q. 13214424*q What is the second derivative of 3*h**5 + h**4 + 133*h**3 - 29*h**2 - 185064*h? 60*h**3 + 12*h**2 + 798*h - 58 What is the third derivative of -2*a**3*j**5 + 4*a**3*j**2 + a**3*j + 4*a**2*j**2 - 1388*a**2*j + 33824*j**5 wrt j? -120*a**3*j**2 + 2029440*j**2 Find the second derivative of 3*h**2*j**2 + 21*h**2*j - 4*h**2 + 323*h + 11235*j**2 + 2 wrt j. 6*h**2 + 22470 What is the third derivative of 5*v**3*y**3 + 2*v**3*y - 90565*v**3 + 59680*v**2*y**2 - 3*y**3 wrt v? 30*y**3 + 12*y - 543390 Find the second derivative of 123*f*o**2*q - 4594*f*o**2 - 6*f*o*q**2 - 1455*f*q**2 + 3*o**2*q**2 - 2*q wrt q. -12*f*o - 2910*f + 6*o**2 What is the second derivative of -2204*g**2*n*q + 33*g**2*q + 4*g*n + 7*g*q + 690*q wrt g? -4408*n*q + 66*q Differentiate 8*k**2*o**3 - 2*k*m*p + 98*k*o*p + 14*m*o**3*p + m*o**3 + 74*m*p - m + 2*o*p with respect to k. 16*k*o**3 - 2*m*p + 98*o*p What is the derivative of -307*a*f*o - 688*a*f - 18874*a*o - 3*a - 2*f*o + 17 wrt f? -307*a*o - 688*a - 2*o Find the second derivative of -843401*j**2*s**2 - j**2*s + 21*j**2 - 210*s + 30 wrt s. -1686802*j**2 What is the first derivative of -181668*a**2 - 143027? -363336*a Find the first derivative of -a**3*m - 20*a**3 - 6*a**2*r**2 - 1224*m*r**2 - m wrt m. -a**3 - 1224*r**2 - 1 Differentiate 47820*c**3 - 106342. 143460*c**2 Differentiate -23*g**3 + 9587*g*m + 3364257*m wrt g. -69*g**2 + 9587*m Find the first derivative of -2*a**3 - 23*a**2 - 293*a + 127729 wrt a. -6*a**2 - 46*a - 293 Find the third derivative of -4*b*q**4 + 2321*b*q**3 + 4*b*q**2 + 4305*b + 6*q**3 wrt q. -96*b*q + 13926*b + 36 Find the second derivative of -79342*d**2*z**3 - 69*d*z + 41*z**3 wrt d. -158684*z**3 Find the second derivative of 8*j**3 - 19516*j**2 - 33*j - 1784 wrt j. 48*j - 39032 Differentiate 7649*h**4*y**2 + 12*h**4*y - 21*y**2 - 1024*y + 2 with respect to h. 30596*h**3*y**2 + 48*h**3*y Differentiate 72901*w**2 + 67308 with respect to w. 145802*w Find the third derivative of -879*q**4 - 11*q**3 - 4*q**2 - 1870 wrt q. -21096*q - 66 What is the third derivative of 3721477*g**6 - 20140*g**2 - 12*g + 4? 446577240*g**3 Find the second derivative of -11*b*h*v**2 + 15*b*h*v + 12*b*h + b*v**2 + 3*b*v + 3*h*v**2 + 2*h - 43*v**3 + 2*v wrt v. -22*b*h + 2*b + 6*h - 258*v Find the first derivative of -w**3 + 69033*w**2 - 16348. -3*w**2 + 138066*w Differentiate 419*f*i*r - 154*f*i + 54008*i*r - 3*i + 2 with respect to f. 419*i*r - 154*i What is the first derivative of 4649*b**3 - 16932? 13947*b**2 Find the first derivative of -5*h**2 - 766*h + 10490 wrt h. -10*h - 766 What is the first derivative of 430*r*w**2*y**2 - 13*r*w**2 - 39*r*y + r - w*y**2 - 206*y**2 wrt w? 860*r*w*y**2 - 26*r*w - y**2 Differentiate -22654*j**3*s**3 + 2*j*s**3 + 4*s**3 - 224892*s wrt j. -67962*j**2*s**3 + 2*s**3 Find the first derivative of -7063569*v + 5586736. -7063569 Find the second derivative of -19*t**4 - 14*t**3 - 15*t**2 + 146244*t + 1 wrt t. -228*t**2 - 84*t - 30 Find the first derivative of -32*z**3 - 81*z + 39371 wrt z. -96*z**2 - 81 What is the second derivative of -14*n**2*t - 536*n**2 + 2510*n*t + 9*n wrt n? -28*t - 1072 Differentiate 30*n**2*u + 2*n**2 - n*u**3 - 9*n*u + n - u**2 - 1326 with respect to u. 30*n**2 - 3*n*u**2 - 9*n - 2*u Find the second derivative of s**4 + 1290171*s**2 + 9*s - 477. 12*s**2 + 2580342 What is the first derivative of -3014*c*m**3 + c*m**2 - 23509*c wrt m? -9042*c*m**2 + 2*c*m Find the second derivative of -3*k**4*u - 9*k**3*u + 4*k**2*u + 37*k**2 - k*u - 622*k - 29*u wrt k. -36*k**2*u - 54*k*u + 8*u + 74 What is the second derivative of 983566*u**5 - 3434582*u wrt u? 19671320*u**3 Find the second derivative of -6633*h**4 - h**3 - 3*h**2*s + 95*h*s - h + 22*s + 82 wrt h. -79596*h**2 - 6*h - 6*s What is the second derivative of c**2*d**3 + 4*c**2*d**2 + 15*c**2*d - 2305*c**2 - c*d**3 - 2*c*d**2 + 63*c - 5091 wrt c? 2*d**3 + 8*d**2 + 30*d - 4610 What is the second derivative of -1004369*x**2 - 829118*x? -2008738 What is the third derivative of a**2*h - 149*a**2*j**3 + 2*a*h*j**3 - 13*a*h*j**2 + 36*a*j**3 - 296*h*j wrt j? -894*a**2 + 12*a*h + 216*a What is the first derivative of -1964*b**2*v**3 - 41583*b**2 + 23*b*v**3 + 2 wrt v? -5892*b**2*v**2 + 69*b*v**2 What is the second derivative of 3*j**2*r**4 + 14001*j**2*r - 2*j**2 - j*r + 2*j - 21508*r**4 - 1 wrt r? 36*j**2*r**2 - 258096*r**2 Find the third derivative of k**4*x + 17*k**4 - 899*k**3 + 330*k**2 + 11*k*x - 3*x wrt k. 24*k*x + 408*k - 5394 Find the third derivative of -5727*b**2*r**3 - 3*b**2*r**2 - 7*b**2 + 5977*b - 4*r**4 + r**3 + r**2 wrt r. -34362*b**2 - 96*r + 6 Find the third derivative of -528694*m**4 + 290*m**2 - 15*m - 2 wrt m. -12688656*m What is the third derivative of -548*g**6 + 185*g**4 + 303*g**2 + 215*g - 1? -65760*g**3 + 4440*g What is the second derivative of 3*l**3*x**3 - 2*l**3*x - l**2*x**3 - 346*x**3 - 16121*x wrt x? 18*l**3*x - 6*l**2*x - 2076*x What is the second derivative of 1595*b**4 - 3*b**2 - 9*b + 664 wrt b? 19140*b**2 - 6 What is the third derivative of -86*c**3*j**3 + c**3 - 111*c*j**6 - 101877*c*j**2 wrt j? -516*c**3 - 13320*c*j**3 What is the second derivative of 2*n**3*s + 55098*n**2*s*v - 20*n*s*v - 7*n*s + 4*s*v - 57*s + v wrt n? 12*n*s + 110196*s*v What is the derivative of -2*a**3*u*x - 33280*a**3 + 6*a**2*u*x + 325*a*x - 10*u wrt x? -2*a**3*u + 6*a**2*u + 325*a What is the second derivative of -204449*p**3 + 58922*p + 1? -1226694*p What is the third derivative of 3023*c**6*p - 4*c**3*p**2 - 43*c**2*p**2 + c**2*p + 4*p**2 wrt c? 362760*c**3*p - 24*p**2 What is the third derivative of -402475*i**3 + 4*i**2 - 40*i + 439? -2414850 Differentiate 84902*h - 31830 with respect to h. 84902 Differentiate 135*m*o*s**2 + m*o + 10*m*s**2 - 53*m*s - m + 369*o + s**2 - 7*s with respect to o. 135*m*s**2 + m + 369 Find the first derivative of 2*a*f**3 - 7*a*f**2 + 1468*a*f + 89285*f**3 wrt a. 2*f**3 - 7*f**2 + 1468*f Differentiate -56979*v**2 - 106502 wrt v. -113958*v What is the third derivative of 4600767*o**3 - 852*o**2 - 1170*o - 1? 27604602 Find the second derivative of -20754*d**3 - 28940*d wrt d. -124524*d What is the derivative of r*v + 7*r - 25903*v + 801 wrt v? r - 25903 What is the second derivative of -12*g**2*i**3 - 11*g**2*i**2 + 231*g**2 + 7*g*i**2 - 6118*i**3 wrt g? -24*i**3 - 22*i**2 + 462 Find the second derivative of -214*h**2*q*w**2 + h**2*q*w - 12*h**2*w**2 + 123*h*q*w + 37*h - q*w wrt w. -428*h**2*q - 24*h**2 Find the second derivative of 768241*l**4 - 253168*l + 1 wrt l. 9218892*l**2 What is the second derivative of -726700*b**3 - 2193*b + 403? -4360200*b What is the second derivative of 34202*f**2*s**3 + 2*f**2 + 5684*f*s**3 + 2*f*s**2 wrt f? 68404*s**3 + 4 What is the first derivative of 230*o**2*p + 5*o**2*u - 20*o*p - 5*p*u + 4*u - 2 wrt u? 5*o**2 - 5*p + 4 What is the derivative of 56486*d*v + 7716*d wrt v? 56486*d What is the second derivative of -5174*c**5 + 5*c**2 - 211*c - 195? -103480*c**3 + 10 What is the derivative of -472*q**4*r**3 - q**2*r**3 - 2*r**3 - 83*r**2 - r wrt q? -1888*q**3*r**3 - 2*q*r**3 Find the second derivative of k**5 + 26*k**3 + k**2 - 21*k + 223
{ "pile_set_name": "DM Mathematics" }
= 423 + -289. Let c = -117 + x. Solve 0 = 5*f + 5*o + 20, 5*o + c + 9 = f for f. 1 Suppose 0*l = -2*l + 3*v + 26, 4 = 2*v. Solve 25 = -3*z - 5*n, -9 = 2*z + 5*n + l for z. 0 Let s(a) = -a + 9. Let u be s(8). Suppose -4 = -2*d - 0*d, 2*m + 4*d = 10. Let r be m + u + 1 + -3. Solve -5*o - 2*v - 2*v = -7, r = v + 2 for o. 3 Let b(k) = k**2 + 3*k - 5. Let u be b(-5). Suppose -3*y + 8*d + 9 = u*d, -y - 5*d = -3. Solve -x - 4*p = -3*p + 9, y*x + 37 = -5*p for x. -4 Suppose 2*h - 32 = -4*u, -7*h = -2*h. Suppose -3*v + u = -4*k - 12, -v - 2*k = 0. Solve 2*z = 2*y - 14, -4*y = z + 3*z - v for z. -3 Let s(h) = -2*h - 4. Let l = -5 + 1. Let r be s(l). Let y = 36 + -31. Solve 24 = -p - 5*b, 3*b = r*b + y for p. 1 Let u be (12/20)/((-41)/(-20) - 2). Solve -4*v + 2*v - x = u, 2*v - 5*x = 0 for v. -5 Let u be (256/(-8))/(1/(-1)) - -3. Suppose 4*w = 5*k - u, 3*k = -0*k - 2*w - 1. Solve 4*r - 2*f - 2 = 0, -k*r + 5*f = -2*r + 22 for r. 3 Let g(w) = w**2 + 15*w - 4. Let s be g(-16). Suppose -s*l = 5*l. Solve -2*o - 1 = -5*q, -o + 2*q = -l*o + 1 for o. -3 Suppose k = -4*a - 45, -2*k - 23 = 2*a - k. Let y(o) = -2*o - 22. Let u be y(a). Let d(g) = -6*g + 2. Let r be d(-2). Solve 2*c + 4 = u, 4*c = -v - c - r for v. -4 Let r be ((-3 - -6) + 0)/((-3)/(-6)). Let s be (0/(r + -4))/(-1). Solve -4*v + i - 12 = 0, s = 4*v - 4*i + 8 + 4 for v. -3 Let d be 64/48 - (44/(-3) + 2). Solve 0*a - 4 = 2*a + 4*b, -2*a = -5*b - d for a. 2 Let f be (-17 - -16)*(-5 + 2). Solve -f*d = 5*a - 7, -4*a - 5*d + 2 = -1 for a. 2 Let r(q) = q**2 + 13*q + 14. Let s be r(-12). Suppose 2*z + 2*k = 16, s*z - z - 12 = -3*k. Let f = 12 - z. Solve 0 = -m + 4*m - f, 3*m - 2 = 2*a for a. 2 Let r = -14 - -18. Suppose -r*f = 3*f. Solve f = 4*l, 0 = -3*p - 0*l - 4*l + 6 for p. 2 Suppose 4*n = 3*n + 31. Let b = n + -28. Solve -5*s = -3*k, 0 = 2*k - 2*s + 1 + b for k. -5 Let f(v) = -v**3 - 7*v**2 - 4*v + 12. Let x be f(-6). Let i = 22 - 20. Solve -y = -4*l - i*y + 9, x = 2*l - 3*y - 15 for l. 3 Suppose -5*a + 21 = 2*q, 5*a - 4*q + 2 - 5 = 0. Suppose 4*r - a*t - 212 = 0, 3*r = 4*r - t - 54. Let f = -26 + r. Solve -15 - 9 = y + 5*d, -3*y - f = 3*d for y. -4 Let k(d) = d**2 + 10*d + 27. Let l be k(-6). Let m(x) = -2*x**3 - x**2 - x - 1. Let y be m(-1). Let h = y + 4. Solve -l*f + 5 = 2*t - 0*t, h*t + 20 = -f for t. -5 Let a be (0 + (15 - 10))*1. Solve -5*z = a*o - 25, -7 = -5*o - 16*z + 20*z for o. 3 Let l(q) = q**2 + q - 7. Let u be l(3). Solve -4*s - 16 = -4*x, -3*s = u*x - 5*s - 11 for x. 1 Let f(o) = -o**3 - 25*o**2 + 53*o - 22. Let l be f(-27). Solve -v + 9 = -2*c, -4*v + 39 = -l*c + 12 for v. 3 Suppose -10*k = -42 - 48. Let d be k/(36/8) + 2. Solve -3*v = -3*o + 18, o - 29 = -4*o + d*v for o. 5 Let v be 2/4*0 - -20. Let r(g) = -g**2 - 6*g - 3. Let q be r(-4). Let k(m) = -m**2 + 7*m - 6. Let u be k(q). Solve 3*t + 9 = h - 4*h, -4*t + v = -u*h for t. 1 Suppose 0*p - 12 = -a - p, -26 = -2*a - p. Suppose a*g - 24*g = -50. Solve -3*n + 0*n + 29 = 4*b, 0 = -g*n + 15 for b. 5 Let a be (-1588)/(-28) + 2/7. Suppose -a = -z - 53. Solve 5*q + 13 = 2*k, -5*k - 12 + 36 = -z*q for q. -1 Let b be (-2 + 1)/((-23)/23). Let v be 506/132 + b + (-10)/12. Solve -3*j - v*i = -5*j - 14, 3*j - 4*i + 11 = 0 for j. 3 Let u be 38/16 - 2 - (-232)/64. Solve -j + 10 = -s, u*j + 5 = -2*s + 15 for j. 5 Suppose 5*z - x = -0 + 11, -5*x + 20 = 0. Solve 2*m + 19 = -3*o, 5*m + z*o + 34 = -0*m for m. -5 Let z(d) = -d**3 + 14*d**2 - 13*d + 6. Let v be z(13). Suppose -2*l + 8 = v*u - 4*u, 5*l = u + 20. Solve -i + 0*i - 1 = l*c, -3*i + 10 = -c for c. -1 Suppose -4*l + 2*x + 24 = 0, -3*x + 4 = -10*l + 12*l. Solve y - l = p, -20*p = -19*p - 2*y + 9 for p. -1 Let o be -1*(3 + -7) - -1. Solve 0 = 4*k + o*j + 7 + 2, 17 = -2*k - 5*j for k. 4 Suppose -5 = 5*q, 2*q + 1 = -2*i + 7. Let g(n) = n**2 - 9*n - 89. Let c be g(-6). Let v be 12/(-8)*2/c + 8. Solve 3*m = v*b + 9 - 37, -i*b + 19 = m for m. -1 Let z(p) = -p**3 - 4*p**2 + 8*p - 4. Let q be z(-6). Suppose 9*x - q = 7. Solve 0 = 3*t + x*c + 3, t + c - 2*c = 1 for t. 0 Suppose 0 = -2*y + 4*y. Suppose y*b = -3*b + 3*a + 9, 0 = -4*b + a + 15. Suppose 21 = b*z + 5. Solve 3*p + 4*k + 26 = 0, -3*p + 18 = -2*p - z*k for p. -2 Suppose 5*d = -33 + 43. Solve -5*l + 4*z + 8 = 0, 4*z = d*l + 2*z - 2 for l. 4 Suppose 0 = 5*l + y + 9, -8*y + 13*y - 13 = 4*l. Suppose -3*a + 3*p + 18 = 0, -p - 2 = p. Let c = a + l. Solve -d = -5*s - 22, c*s = 3*d + 6*s + 6 for d. 2 Let x be 7/2 + (-2)/4. Suppose -16*m + 59 = -69. Solve -3*p + 8*p + m = 4*t, -p = -x*t + 6 for t. 2 Let m be 0*(2 - 49/18 - (-24)/108). Let j = 8 - 2. Solve m*l + j = 3*l, 4*b - 4*l = -12 for b. -1 Let q be 1853/763 + 3/(-7). Solve -20 = 4*o - q*g, 0 = -18*o + 19*o - 5*g + 23 for o. -3 Suppose 50*u = 53*u. Solve u = 3*z - 0*z + 2*g + 11, -5*g = -3*z - 25 for z. -5 Let b be (-42)/(-56) - 3/4. Let s(c) = -9*c**2 + 46*c - 3. Let w be s(5). Solve b = 5*o - 5*p + 10, 3*p - 4 = 4*o + w for o. 0 Suppose 5*l - 21 + 6 = 0. Solve -y - g + 6 = 0, -3*y + 3*g + g = l for y. 3 Let i(q) = q**2 + q - 1. Let b be i(0). Let h = 1 - b. Let f be -11*3/((-6)/4). Solve h*z + 2*l = -3*l - 29, -z = 4*l + f for z. -2 Suppose -3*f + 4 = -11. Suppose t - 4 - f = -4*m, -4*m + t + 15 = 0. Solve -m*i = 2*z - 4 - 2, -5*i = -5*z + 15 for z. 3 Let i be 15/(-4)*20/(-15). Solve 11 = -5*b + 3*n - i, -4*b = -4*n + 8 for b. -5 Suppose 11*h + 58*h - 207 = 0. Solve -l - 15 = -5*v, 11 = h*l + 3*v - 4*v for l. 5 Let h = 1 - 1. Suppose -5*s = -h*b + 4*b - 106, 5*b = 4*s + 153. Solve 0 = o - i - 2, -o - 2*o = 4*i + b for o. -3 Let m = -79 - -83. Let t be m/16 + (3 - (-15)/(-12)). Solve -t*w + 8 = -3*k + 7*k, -3*k = 2*w - 5 for k. 3 Let n(w) = w + 0 + 0 + 12. Let p be n(-13). Let z = p - -4. Solve 2*y + z*y + 14 = k, 5*y - 10 = -5*k for k. 4 Let g be 12/4 + 0 + 1. Solve 4*t + g*p = 6*p - 12, -4*p = 3*t - 2 for t. -2 Let i = 11 - 13. Let u be i/(-4) - (-11)/2. Let b be (-3 + 15/u)*-10. Solve -5 = 4*z - 5*h + 7, -b*h - 3 = z for z. -3 Let a(n) = n**3 - 26*n**2 + 51*n - 64. Let q be a(24). Solve 0 = 5*r - 3*m + 29, -4*r + q*r = -2*m - 10 for r. -4 Let c(k) = k + 6. Let m be c(0). Let q(n) = 5*n**3 - 2*n**2 + 2*n - 1. Suppose -1 = 4*g - 5. Let o be q(g). Solve 0 = v + 2*a - 3, -m = -2*v + a + o*a for v. 3 Suppose 154 = 14*x + 126. Solve -21 = f + 3*n + x*n, -4*f + 2*n = -4 for f. -1 Let i = -834 - -843. Solve 2*h + i = -3*a + 4*h, 8 = -5*a + h for a. -1 Let i be (15 + -13)/(4/2). Suppose 2*y - i - 3 = 0. Solve -3*z - y*l - 4 = -15, 5*z - 14 = l for z. 3 Suppose 288*t - 277*t = 0. Solve 0 = 5*w - t*w - 20, 5*x = w + 21 for x. 5 Suppose w + 3 = 2*i + 2*w, 0 = 5*i - 2*w - 12. Solve i*n = -5*l - 2, -5*l + 9*l + 8 = 0 for n. 4 Suppose -15 = -o - 4*o - 2*v, -o + 3*v + 3 = 0. Suppose -o*y + 31 = -29. Let n be (-1)/5 + 424/y. Solve -k - 5*w = -3*k - n, -3*w = 4*k + 3 for k. -3 Let f = -4 - -16. Suppose -5*q + f + 3 = 0. Solve -s + 1 = z, -2*z + 4*s - 16 = -q*z for z. -4 Suppose -y = 2*s - 13, -6*s + s + 10 = -2*y. Suppose 0 = 2*t - 6*t. Suppose 0 = -3*x - 2*c - t - 4, 0 = x + c + 3. Solve 4*q - 8 = -x*d, q = y*d + 2 - 11 for q. 1 Suppose -3*k - 5*r = -r - 17, 36 = 4*k + 2*r. Suppose 5*v - m = 12, -4*v - m + 15 = -0*m. Solve -2*u - v*b = 23, 2*b + k = u - b for u. -4 Let w(o) = o**2 - 14*o + 4. Let g = 91 + -52. Suppose -3*v + g = -3. Let z be w(v). Solve -2 = -b - 0*b, x = z*b - 10 for x. -2 Suppose -5*c = 2*v + 42, 0 = -4*v + 2*c - 4*c - 68. Let n be 0 + 1 + (-13 - v). Solve 18 = -3*f - 2*i - i, n*i = 5*f + 3 for f. -3 Let n = 18 + 14. Solve 4*b + 1 + 3 = 3*d, -5*d - 3*b = n for d. -4 Suppose 4*k = 5*k. Suppose 4*x - 2*j - 20 = k, 4*j - 8 = -4*x + 3*j. Solve u = i + 1 + 1, -5*i - x*u - 10 = 0 for i. -2 Suppose 0 = -3*l - 5*l + 120. Suppose 5*c + 23 = -2*u + u, -l = 3*c. Solve -1 = 2*x + x + u*f, -9 = -5*x + 2*f for x. 1 Suppose -m + 7 = 2*f - 2*m, -2*f = -2*m - 2. Suppose 3*y - f - 7 = -5*o, 2*o = -2*y + 6. Solve -3*j - y = 3*z - 2*z, -4*j = z for z. -4 Suppose -3*i - 2*i - 4*z + 2 = 0, -4*i - 4*z = 0. Let t = 13 + -4. Let y(u) = -u + 11. Let f be y(t). Solve -i*v - 3*n = -0*v + 7, -f*n + 17 = -3*v for v. -5 Let j be 3 - (3 + 3 + -2). Let y be (-2 - -6)*(-2 - j). Let c(r) = -r**3 - 4*r**2 + 5. Let h be c(y). Solve -i = -3*s - 2 - 3, h*i = -2*s + 25 for s. 0 Suppose 5 = 2*k + 3*k. Let p be (5 - (-4 - 0) -
{ "pile_set_name": "DM Mathematics" }
201. Let s be x(18). Suppose -s = 23*g + 94. Let f(r) = -2*r**2 + 5*r - 17. Let q(c) = -2*c**2 + 6*c - 18. Give g*q(a) + 6*f(a). -2*a**2 - 12 Let o(d) = 6*d**2 - 4*d + 1. Suppose 21*m - 130 = 47*m. Let s(k) = -7*k**2 + 5*k - 1. What is m*s(n) - 6*o(n)? -n**2 - n - 1 Suppose -29*x = -19*x + 13 - 73. Let n(b) = 75*b - 51. Let g(p) = 3*p - 2. What is x*n(q) - 153*g(q)? -9*q Let l(a) = -95*a + 72. Let j(c) = -c - 22. What is 3*j(z) + l(z)? -98*z + 6 Let x(n) be the third derivative of -7*n**6/24 - n**4/4 + n**3 - 23*n**2 + 26. Let b(w) = 3116*w**3 + 533*w - 533. What is 6*b(c) + 533*x(c)? 41*c**3 Let o(r) = -r + 17. Let d(u) = 4*u - 86. Suppose -118*b + 127*b - 126 = 0. Give b*o(h) + 3*d(h). -2*h - 20 Let m(d) = -3*d**2 - 7*d - 13. Let p = -59 - -73. Let y(l) = -l**2 - 2*l - 4. Suppose 0 = -4*b - u - 21, 4*u - 32 = 3*b + 8*u. Give b*m(w) + p*y(w). -2*w**2 - 4 Let p(i) = -13*i - 8. Let y(x) be the first derivative of -27*x**2/2 - 17*x - 12799. Give 13*p(s) - 6*y(s). -7*s - 2 Let k(z) = 9185*z**2 + 6*z - 6. Let g(m) = 183694*m**2 + 119*m - 119. What is -6*g(j) + 119*k(j)? -9149*j**2 Let y(b) = -392*b - 192. Let a(r) = 5*r + 2. What is -72*a(q) - y(q)? 32*q + 48 Let g(t) = t**2 + 1. Let w(p) = p**3 + p. Let z be w(0). Let h = 290 - 288. Let o(j) = -8*j**h + 0*j + 9*j**2 + 2 + z*j. Give -3*g(d) + 2*o(d). -d**2 + 1 Let f(w) = 2146*w. Suppose 317 = 29*c - 26*c + 926. Let t(d) = -53*d. What is c*t(s) - 5*f(s)? 29*s Let j(z) = 1. Suppose 2*i + 176*a = 178*a + 2, -9 = 5*i + 2*a. Let n(r) = 21*r + 3. What is i*n(y) + 3*j(y)? -21*y Let o(f) = 6*f**2 - f - 1. Let k = -6409 - -6407. Let b(g) = -7*g**2 + 2*g. Determine k*b(q) - 3*o(q). -4*q**2 - q + 3 Suppose 0 = 17*l - 15*l - 10. Suppose -2*m - 7 = m + p, l*m + 6 = 4*p. Let k(y) = -8*y + 7*y - 4*y + 3. Let i(q) = q - 1. Determine m*k(w) - 9*i(w). w + 3 Let g(p) = 13. Let z(c) = -4190*c - 67. Determine -5*g(s) - z(s). 4190*s + 2 Let m(l) = -23*l - 1. Let i(d) = -80*d + 71. What is i(u) - 3*m(u)? -11*u + 74 Let f(t) = 13*t**2 + 4*t - 8. Let l(d) = -38*d**2 - 11*d + 23. Let v(x) = 24*x - 1571. Let h be v(65). Calculate h*f(m) - 4*l(m). 9*m**2 - 4 Let w be 0/(-2) + (-2 - 7) + 25/5. Let a(i) = i + 8. Let o(q) = -2*q - 23. Determine w*o(l) - 11*a(l). -3*l + 4 Let w(f) = -5*f**3 - 6*f**2. Let s = -62 - -365. Let h = s + -309. Let b(x) = 55*x**3 + 65*x**2. What is h*b(g) - 65*w(g)? -5*g**3 Let o(s) = -s**3 - s**2 - s - 1. Let c(q) = -5*q**3 - 4*q**2 - 4*q - 4. Let y be (-5 - 12) + 15 + -3. What is y*c(t) + 20*o(t)? 5*t**3 Let x(m) = 6*m**3 + 2*m**2 - 3*m + 3. Let t(s) = s**3 + s. Suppose -2*i = -4*u - 10, 266*u + i - 16 = 257*u. Give u*x(o) + 3*t(o). 9*o**3 + 2*o**2 + 3 Suppose 0 = 3*f + 2*x - 4*x - 55, 3*f + 3*x = 30. Let a(y) = -5 - 58*y + 22*y - y**2 - y**2 + 31*y. Let g(d) = -d - 1. Give f*g(t) - 3*a(t). 6*t**2 Let t(u) = 10*u**3. Let v(n) = -n**2 + n**2 + 11*n**3. Let b(p) = 7*p**2 - 35*p - 6. Suppose -7*y = -8*y + 5. Let f be b(y). Determine f*v(k) + 7*t(k). 4*k**3 Let l(c) = -4*c**3 + 11*c**2 - 5*c - 15. Suppose 77 = -8*z + z. Suppose -18 = 32*v + 174. Let d(j) = 2*j**3 - 6*j**2 + 3*j + 8. What is v*l(s) + z*d(s)? 2*s**3 - 3*s + 2 Let c(z) = -3*z**2 + 33*z + 1. Let k be c(11). Let w(t) = 1 - 122*t + 3 - 4 + k + 126*t. Let i(x) = -x - 1. Calculate -3*i(r) - w(r). -r + 2 Let i(v) = 22*v**2 - 153*v + 5. Let z(p) = -21*p**2 + 131*p - 4. Give 5*i(g) + 6*z(g). -16*g**2 + 21*g + 1 Let t(a) = -3*a**2 - 11*a + 220. Let z(n) = n**2 + 6*n - 110. Give -6*t(j) - 11*z(j). 7*j**2 - 110 Let u(i) = 0*i**2 + 6 + 3*i**2 + 7*i + 0*i**2 + 0*i**2. Let n(g) = -6*g**2 + 140*g - 45. Let m be n(23). Let f(s) = -s**2 - s - 1. Give m*u(k) + 4*f(k). -k**2 + 3*k + 2 Let r(g) = 3 + 0 - 4 + g. Let d(b) = -11*b + 6. Suppose -141*l + 209 = -725 + 88. Calculate l*r(k) + d(k). -5*k Let a(f) = f - 4. Let s(v) = -3 - 5 + 2*v + 2. Let b = -61943 + 61938. Give b*s(u) + 8*a(u). -2*u - 2 Let f = 175 - 407. Let w = -235 - f. Let i(n) = -2*n - 1. Let k(x) = 2*x + 1. Suppose c - 1 = -3. Give c*k(a) + w*i(a). 2*a + 1 Let t(j) = j**3 + j**2 + j. Let i(s) = 1614*s**3 + 4304*s**2 + 4304*s. Calculate -3*i(q) + 12912*t(q). 8070*q**3 Let y(t) be the first derivative of -3*t**4/2 - t**3 - t + 3. Let l(h) = -35 + 13*h**3 - 30 + 113 - 45 + 7*h**2. Give 3*l(q) + 7*y(q). -3*q**3 + 2 Let j(n) = -35*n**2 + 25*n + 2. Let k(y) = -69*y**2 + 47*y + 3. Calculate 7*j(l) - 4*k(l). 31*l**2 - 13*l + 2 Let j(p) = 11*p - 223. Let f(w) = -7*w + 118. What is -5*f(g) - 3*j(g)? 2*g + 79 Let q(j) = -j**2 + 5*j - 59. Let u(t) be the first derivative of -2*t**3/3 + 4*t**2 - 89*t - 3494. Calculate -8*q(k) + 5*u(k). -2*k**2 + 27 Let t(i) be the third derivative of -2*i**5/15 + 2*i**4/3 - 8*i**3/3 + i**2 + 74. Let s(x) = x**2 - x + 1. Let c be -14 + (4 - -8)/(-6). What is c*s(n) - t(n)? -8*n**2 Let h(r) = 14*r**2 - 28*r. Let f(l) = 3*l**2 + 17*l + 8. Let c(d) = -7*d**2 - 38*d - 18. Let m(u) = 4*c(u) + 9*f(u). What is h(a) + 28*m(a)? -14*a**2 Let t(w) = 1330*w**2 + 14*w + 8. Let u(f) = 886*f**2 + 9*f + 5. Calculate 5*t(j) - 8*u(j). -438*j**2 - 2*j Let s(x) = -2*x**2 + 14*x - 5. Let q be 640/(-64)*(-1)/(-10). Suppose 5*g = 2*p + 29, -g + 5*p = -6*g + 15. Let o(j) = j - 1. What is g*o(t) + q*s(t)? 2*t**2 - 9*t Let m(b) = b**3 - 4*b**2 + b. Let u(d) = -d**3 + 5*d**2 - 2*d. Suppose 2*r - 3*q + 16 = 0, -21*r - q + 4 = -22*r. What is r*m(w) + 3*u(w)? w**3 - w**2 - 2*w Let d(c) = -c**2 - 8*c - 11. Let j be d(-2). Let m(b) = 2*b**3 + b**2 - 4*b. Let z(o) = -o**3 - o**2 + o. Let n = -5326 + 5330. What is j*m(p) + n*z(p)? -2*p**3 - 3*p**2 Let k(l) = -8. Let c(w) = 119*w**2 + 54. Calculate -c(i) - 6*k(i). -119*i**2 - 6 Let h(z) = 5*z**2 + 2*z + 6. Let a = 866 - 859. Let y(i) = 318*i**2 - i + a*i + 17 - 303*i**2. Calculate -17*h(k) + 6*y(k). 5*k**2 + 2*k Let f(r) = r + 1. Let x(s) be the third derivative of s**3/6 - 772*s**2. Determine -2*f(v) + x(v). -2*v - 1 Let v(b) = 93*b + 7. Let h(q) = -77*q - 7. Let z(y) = -6*h(y) - 5*v(y). Let j(r) = -2 + 2 + 0 + 1. Give 14*j(w) - 2*z(w). 6*w Let g(s) = 13*s**3 + 18*s**2 - s + 7. Let v(l) = -16*l**3 - 17*l**2 + l - 8. Determine -6*g(m) - 5*v(m). 2*m**3 - 23*m**2 + m - 2 Let c(t) = -10887*t - 57. Let u(y) = -2721*y - 13. Determine -2*c(h) + 9*u(h). -2715*h - 3 Let d(a) = a**2 - 2 + 0*a + 9*a + a**2. Let g(r) = -r**2 - 5*r + 1. Suppose -890 + 955 = -13*j. Calculate j*g(z) - 3*d(z). -z**2 - 2*z + 1 Let i(d) = 10*d - 7. Let l(g) = 7*g - 5. Let a be ((-126)/(-162))/(8/72). Calculate a*l(v) - 5*i(v). -v Let p(o) = -368*o - 26. Let f(i) = 369*i + 35. Calculate 3*f(s) + 4*p(s). -365*s + 1 Let k(c) = 3*c**2 + 5*c + 11. Let j(l) be the second derivative of l**4/6 + 2*l**3/3 + 6*l**2 - l - 2214. Give -5*j(n) + 4*k(n). 2*n**2 - 16 Let v(h) = -h - 7. Let w(o) = -24. Let k(a) = 5. Suppose 0 = -6*q + 5*q - 4*r - 21, -2*q = 5*r + 33. Let g(d) = q*k(d) - 2*w(d). Determine -9*g(b) - 4*v(b). 4*b + 1 Let i(y) = 71*y + 57. Let f(u) = -71*u - 49. Determine 7*f(r) + 6*i(r). -71*r - 1 Let h(q) = 8*q**2 + 30*q + 14. Let n(v) = 3*v**2 + 11*v + 5. Let i(s) = -4*h(s) + 11*n(s). Let m(x) = 6*x**2 + 2*x - 14. Determine -4*i(p) + m(p). 2*p**2 - 2*p - 10 Let g(l) = 12189*l - 26. Let z(x) = -36565*x + 72. What is 11*g(d) + 4*z(d)? -12181*d + 2 Let l(z) = 27*z**2 - 11*z - 110. Let a(o) = -4*o**2 + 2*o + 1. Determine 6*a(p) + l(p). 3*p**2 + p - 104 Let u(c) = -38*c + 3. Let w(j) be the second derivative of 19*j**3/3 - j**2 + 1692*j - 2. Calculate 2*u(d) + 3*w(d). 38*d Let o(i) = -23*i**3 + 3*i**2 + 41*i - 15. Let n(z) = 44*z**3 - 5*z**2 - 83*z + 25. Determine -3*n(d) - 5*o(d). -17*d**3 + 44*d Let t(i) = -80*i + 11. Let b(w) = 5*w - 1. Let u(l) = -26*b(l) - 2*t(l). Let g(r) = 689*r + 91. Determine 4*g(v) - 91*u(v). 26*v Let j = -3792 + 3787. Let m(u) = -6*u**2 - 8. Let i(c) = -4*c**2 - 5 + c**2 - c**2. Calculate j*m(g) + 8*i(g). -2*g**2 Let p(f) = -2*f + 8. Let j(d) = 2*d - 9. Let m(n) = -54*n - 319. Let b be m(-6). Determine b*j(s) + 6*p(s). -2*s + 3 Let b(y) = -4362*y - 11. Let m(x) = 6544*x + 15. Calculate 7*b(j) + 5*m(j). 2186*j - 2 Let f(g) = 164551776*g**3 + 31419*g**2 - 377028*g. Let x(o) = 10475*o**3 + 2*o**2 - 24*o. Give 2*f(h) - 31419*x(h). -10473*h**3 Let b(a) = -836*a + 209. Let d(q) = -1. Calculate -2*b(c) - 418*d(c). 1672*c Let n(x) = 3*x**2 - 9*x + 37. Let o(j) be the third de
{ "pile_set_name": "DM Mathematics" }
Give u(5). -4 Let v = -7 - -3. Let g(w) = w**2 - 27*w + 30*w + 11 - 10. What is g(v)? 5 Suppose 2*g + x + 2*x = 0, 2*g + 2*x = -2. Let s be (-2 - 2)/(-2) + -2. Let h = g + s. Let u(w) = -w**3 - 4*w**2 - 4*w - 2. What is u(h)? 1 Let i(o) = o + 1. Let c(f) = -f**2 + f - 10. Let x(m) = -c(m) - 4*i(m). Calculate x(4). 2 Let c(w) be the second derivative of w**4/12 - 3*w**3/2 + 5*w**2/2 + w. Give c(9). 5 Let y(u) be the second derivative of u**3/6 + u**2/2 - 6*u. Let b be (5 - 7)/(2/(-4)). Calculate y(b). 5 Let h be (-1 - 2 - 4) + 4. Let g(y) = -y**2 + y - 1. What is g(h)? -13 Suppose 5*o + 32 = -5*i - 3, 0 = -o + 4*i - 12. Let q = o - -11. Suppose -2*t + q*s - 3 = -5*t, 0 = -3*t - 4*s - 1. Let p(k) = -k + 1. Calculate p(t). -4 Suppose d + 0*d + 10 = 0. Let k be (-6)/d - 54/15. Let f(c) = c**2 - 1. Let g(o) = -o**2 - o + 2. Let y(l) = -2*f(l) - 3*g(l). Calculate y(k). -4 Let j(d) be the third derivative of d**5/60 - d**4/6 - 4*d**3/3 + 2*d**2. Let a be j(6). Let q(v) = -v**3 + 4*v**2 - v - 1. Calculate q(a). -5 Suppose 0 = l + 114 - 120. Let c(d) be the first derivative of 1/4*d**4 - 4/3*d**3 - 4 - 5/2*d**2 - l*d. Determine c(5). -6 Let y(f) = -9*f. Let r(w) = w**2 + 10*w - 1. Let o(i) = 2*r(i) + 3*y(i). Give o(5). 13 Suppose 4*j + j = -15, -4*d + 1 = 5*j. Let a(o) = -6 + 7 - 4 + 2*o. Give a(d). 5 Let i(j) be the second derivative of -j**5/60 - j**4/6 + j**3/2 - j. Let r(l) be the second derivative of i(l). Give r(-4). 4 Let s be (-192)/9 - 1/(-3). Let r = 24 + s. Let f(o) = o**3 - 5*o**2 + 2*o + 4. Determine f(r). -8 Suppose 1 + 7 = 4*f. Let q(v) = -v**2 - v. Let r be q(-1). Let h(b) = -1 + 5*b**3 + r*b**3 + f + 3*b**3. Give h(-1). -7 Let w(u) = -u - 8. Let o be 4/(-20) - (-524)/20. Let j = o - 33. What is w(j)? -1 Let y(u) = -5*u + 4*u + 3 + 4 - 3. Calculate y(0). 4 Let v(z) = -z**3 - z + 1. Let g = 26 - 23. Let n be ((-12)/9)/((-2)/g). Calculate v(n). -9 Let f(c) = 2*c + 5. Let g(u) = -u**3 + u**2 + 5*u - 4. Let i be g(3). Let v = i + 11. Calculate f(v). 13 Let i(f) = 5*f - 10. Let g(p) = 11*p - 21. Let h(z) = -6*g(z) + 13*i(z). Let r be h(-5). Let j(d) = -7*d**2. What is j(r)? -7 Suppose 5*f - 1 + 16 = 0, -15 = 3*n - f. Let h(l) = -l**2 - 7*l + 3. Give h(n). 9 Let g = 12 + -4. Let u be 5*(g/(-5) - -2). Let s(h) = h + 3. Let z(m) = 2*m + 4. Let d(f) = 3*s(f) - 2*z(f). Calculate d(u). -1 Suppose -r = -v, -r - 20 = -0*v + 3*v. Let p(i) = -3*i**3 + 7 - 3*i + 5*i**3 + 4*i**2 - i**3. Let h be p(v). Let l(y) = y**2 - 4. Calculate l(h). 5 Let s(x) be the first derivative of -x**3/3 + 5*x**2/2 - 3*x - 11. Let m be (-3)/(-1)*(0 + 1). Suppose -18 = o - 2*o + 3*h, 5*o - m*h = 30. Give s(o). 3 Let b(c) = 6*c - 8. Let n(u) = -5*u + 7. Let a(y) = -6*b(y) - 7*n(y). Let z = 7 - 3. Let v(k) = k. Let s be v(z). Calculate a(s). -5 Suppose 2*r + 2*r + 3 = 5*t, 4*t = -4*r + 24. Let s be (-5)/((-15)/(-4))*r. Let m(f) = -f - 5. Determine m(s). -1 Suppose 0 = -3*o - 12, 6*h - h - 22 = 3*o. Let z be (-3)/h - (-9)/6. Let c(i) = -i**2 + i - 7. Give c(z). -7 Suppose -2*l = 3*l - 10. Let z(n) = -2*n**2 - 4*n**3 + 13*n**3 + n**l + 1. Give z(-1). -9 Let k(y) = -y**2 + 2*y - 3. Let x(n) = n**3 + n**2 + 2*n + 3. Let f be x(0). Suppose -2*s - 2 = -f*s. Determine k(s). -3 Let h(l) = l**2 + 3*l - 5. Suppose -2*i - j + 25 = -7*i, 0 = 4*j. Let r be i/(-1) - 0/(-1). Suppose -3*w = -2*w + r. What is h(w)? 5 Let o = -12 + 5. Let l = o - -7. Let g(f) = f**3 - f + 6. What is g(l)? 6 Let z(x) = 2*x**2 - 3*x + 10. Let o(i) = i**2 - i + 5. Let y(q) = -5*o(q) + 2*z(q). Suppose 0 = g - 2*g + 2*g. Calculate y(g). -5 Let w(i) = -3*i**3 - i**2 + 3*i. Let o(s) = 13*s**3 + 3*s**2 - 13*s + 1. Let j(h) = 2*o(h) + 9*w(h). Calculate j(-4). 14 Let y(n) = n**3 + n**2. Let a be y(0). Suppose j + 0*j + 5 = a. Let b(h) = -h + 1. Let x(z) = z**2 + z + 3. Let r(c) = -4*b(c) + x(c). Give r(j). -1 Let g(h) = 4*h - 2 - 2 + h - 6*h. Give g(3). -7 Suppose 3*r = r + 12. Let c be ((-3)/5)/(r/30). Let g(y) be the second derivative of -y**4/12 + 2*y**2 + y. What is g(c)? -5 Let i(g) be the first derivative of -g**7/840 - 7*g**6/360 - g**5/24 + 5*g**4/24 + 2*g**3/3 - 4. Let o(u) be the third derivative of i(u). Calculate o(-6). -1 Let i(z) = 2*z**3 - 8 + 6*z - 389*z**2 - 3*z**3 + 383*z**2. Determine i(-7). -1 Let b(d) = -d**2 + 9 + 1 - 6 - 5*d. Let z(i) = 2*i**3 + 3*i**2. Let t be z(-2). What is b(t)? 8 Suppose 0 = o - 6*o. Let w(l) = l - 14. Give w(o). -14 Let y(a) = -a**3 - 7234*a**2 + 10 + 7234*a**2 - a. What is y(0)? 10 Let c(l) be the first derivative of 1/60*l**5 - 1/6*l**4 + 1/2*l**2 + 0*l + 2 - 1/6*l**3. Let t(j) be the second derivative of c(j). Determine t(4). -1 Let z(t) be the second derivative of t**5/10 + t**4/3 + 2*t**3/3 + t**2 - t. Suppose -2*r + 4 = 2*m, -m = 3*m + r + 4. Determine z(m). -6 Let c(i) = -2*i + 4. Let x be c(-7). Let f be ((-2)/6)/((-1)/x). Let v(b) = b**3 - 5*b**2 - 4*b - 5. What is v(f)? 7 Suppose 10*z = 5*z + 10. Suppose -2*t + z*q - 8 = -4*t, 4*t + 3*q - 13 = 0. Let h(v) = -v. What is h(t)? -1 Let z(r) = -r**3 - r**2. Let k = -13 - -12. Give z(k). 0 Let m be (-4)/14 - (-115)/35. Let u(y) = -5*y + 4*y - 88*y**3 + 83*y**m - 2*y**2. What is u(-1)? 4 Let b(t) = t + 0 + 5 - 2. Let m(u) = -u**2 + 9*u + 10. Suppose 50 = 8*h - 3*h. Let y be m(h). What is b(y)? 3 Let a(f) = -f**3 + f**2 - f + 1. Let z(q) = -4*q**3 + 9*q**2 + 2*q + 11. Let x(o) = -3*a(o) + z(o). Calculate x(7). -6 Let m(x) = x - 1. Let y(z) = -15*z + 15. Let u(s) = -33*m(s) - 2*y(s). Let o(i) = i**2 + 3*i - 7. Let j be o(-5). Calculate u(j). -6 Let f(z) be the first derivative of -z**4/8 - 3*z**2/2 - 1. Let l(j) be the second derivative of f(j). Determine l(-2). 6 Let f(q) = q**2 - 5*q - 1. Let b(n) = -n**2 + 4*n + 1. Let w(m) = 5*b(m) + 4*f(m). Let d(x) = x**3 + 4*x**2 + 4*x + 3. Let r be d(-2). Calculate w(r). -8 Let s(x) = 0*x**2 + 0*x + x**2 - 2*x. Suppose -6*d - 8 = 4. Give s(d). 8 Let h(p) = p**3 + 5*p**2 + 3*p. Let k be h(-4). Let r(q) = 1 - 3 - 4*q - q**2 - 2 + 2*q**2. What is r(k)? -4 Let v(l) = -l**3 - 9*l**2 + 20*l - 20. Let t be v(-11). Let j(m) = -2*m. Give j(t). -4 Let u(j) = -11*j**3 - 5*j**2 + 5*j + 3. Let g(w) = w**3 + w**2 - w - 1. Let f(o) = 4*g(o) + u(o). Let v = -17 - -12. Let s be ((-2)/(-4))/(v/(-10)). Give f(s). -8 Let u(y) = -y**3 + 2*y**2 + 4. Let i = -30 + 33. Give u(i). -5 Let z(v) = -6*v + 4. Let b(h) = 13*h - 9. Let t(w) = 3*b(w) + 7*z(w). Calculate t(1). -2 Let m(u) = -5*u + 3*u + u + 2 - 3. Determine m(1). -2 Let b(u) = -u**3 + 12*u**2 - 10*u - 12. Let r be b(11). Let d(s) = s**2 - 2*s - 1. Calculate d(r). 2 Let u(o) = o**3 + o**2 - 4*o + 5. Let q(h) = 5*h**3 + 5*h**2 - 21*h + 26. Let c(b) = 2*q(b) - 11*u(b). What is c(2)? -11 Suppose -10 = 4*l - 2. Let v(g) = 3*g - 3. Let c(r) = r - 1. Let q(o) = l*v(o) + 5*c(o). Give q(-3). 4 Suppose 3*h - 4 - 2 = 0. Let n = -1 - -3. Let a(f) = -2*f - n + 2 - 1. What is a(h)? -5 Let n(q) = -q**2 + 7*q + 6. Let t(c) = c**2 + 5*c + 4. Let w be t(-8). Let x be 0 - 3*w/(-12). Determine n(x). 6 Let v(z) = -3*z + 2. Let d be -1 + -4*3/6. Determine v(d). 11 Let u = -54 - -54. Let y(o) = -o**3 - o + 8. What is y(u)? 8 Let a(f) = f**2 - 8*f + 8. Let n be a(6). Let x(v) = 2*v - 8. Let h(l) = l. Let k(j) = 3*h(j) - x(j). Give k(n). 4 Let v(t) be the third derivative of 0 - 1/24*t**4 - t**2 + 2/3*t**3 + 0*t. Determine v(0). 4 Let n(u) = u**2 + 4*u - 5. Let j(q) = -3*q - 2. Let b be j(1). What is n(b)? 0 Suppose 2*y - 5 = 1. Let q(r) = 4*r**2 - 8*r. Let n(a) be the first derivative of -a**3/3 + a**2/2 + a - 1. Let s(b) = 3*n(b) + q(b). Give s(y). -3 Let k(s) = s**3 - 4*s**2 - 6*s + 2. Let f(y) = -y + 10. Let c be f(8). Let v(j) = 3*j - 1. Let g be v(c). Determine k(g). -3 Let q(a) = 6*a + 7. Let m(j) = -7*j - 8. Let o(l) = 5*m(l) + 6*q(l). Give o(-6). -4 Suppose -4 + 1 = -u. Let a be 21/6 - 3/6. Let p(t) = -t + a - 1 - t**3 + 2*t**2 + 4*t - 1. Determine p(u). 1 Let q(o) = 9 + 0 - 2 - o. Suppose 0 = a - 6*a + 15. Let k be 5/a*(-6)/(-2). Give q(k). 2 Suppose -2*v + 5*v = 6. Let w(z) = -z**3 - 3 - z**2 + v*z**3 + 4. Determine w(0). 1 Let f be (4/(-18) + (-5)/(-9))*-6. Let w(q) = 2*q**2 + 2*q - 2. Calculate w(f). 2 Suppose 3*v = -3 - 15. Let s = v - -6. Let n(w) = 2*w**2 + s*w**2 - w**3 + 3*w - w**2. Give n(3). -9 Let r(h) be the third derivative of -h**5/20 + h**4/8 -
{ "pile_set_name": "DM Mathematics" }
order. x, 3, -3 Let q(z) = -4*z + 26. Let l be q(7). Put 0, -1, l, 5 in decreasing order. 5, 0, -1, l Let g(m) = -m**2 + 8*m + 13. Let t be g(9). Suppose 5*z + 11 = -4*b, 3*z = 2*b - z - 14. Suppose b + 2 = i. Put i, t, 5 in descending order. 5, t, i Let n = 10 + -12. Sort n, 37, -5 in descending order. 37, n, -5 Suppose -2*o = -5*q + 7, -q + o + 3*o - 13 = 0. Let n = -15 - -15. Let a = n - q. Put a, 3, -0.1 in increasing order. a, -0.1, 3 Let g = -99/235 - -1/47. Let i be (10/(-6) + 8/3)*0. Sort 6/7, g, -0.1, i in ascending order. g, -0.1, i, 6/7 Let w(f) = f + 10. Let i be w(-12). Let u = 18 + -24. Put i, 0, u in descending order. 0, i, u Let o = 29.966 + 0.034. Let p = -27.9 + o. Let j = p - 2.2. Sort j, -2/5, 4/9 in increasing order. -2/5, j, 4/9 Let l be (-4)/(-2) + 170/(-34). Put 0, l, 0.21 in descending order. 0.21, 0, l Let n(t) = 15 - 2 - 3 + 5*t + 4. Let u be n(-6). Let g = u - -13. Sort 1, g, 3 in ascending order. g, 1, 3 Let d = -47 + 49. Suppose -2*w = d*n + 44, -74 - 6 = 5*n - 5*w. Put 2, n, -3 in descending order. 2, -3, n Suppose 0*h + 18 = 2*h. Let v = -5 + h. Suppose 0 = 8*t - v*t. Sort -2, 4, t in increasing order. -2, t, 4 Let x(h) = -6*h**2 - 20*h + 21. Let z be x(-4). Put 4, z, 64 in descending order. 64, z, 4 Suppose -a - 35 = 1. Let y be (a/32)/(3/(-4)). Sort -4, y, 0.4 in decreasing order. y, 0.4, -4 Let p = 3.879 + 8.121. Let y be 12/(-15) - (-6)/9. Sort p, y, 0.5, -0.4 in descending order. p, 0.5, y, -0.4 Let n be 116/1102 + (-772)/836. Put -1/3, n, -6/11, 1/3 in descending order. 1/3, -1/3, -6/11, n Let f = 17 + -25. Let x = -7 - -2. Let a(d) = d**3 - 27*d**2 - 24*d - 108. Let t be a(28). Put x, f, t in increasing order. f, x, t Let l = 324 - 324. Sort l, -8/15, -4/5, 4 in increasing order. -4/5, -8/15, l, 4 Let d = 4 - 8. Let g = -328 + 328. Sort g, -5, d in ascending order. -5, d, g Let b(w) = w**3 + 4*w**2 - 5*w + 9. Let c(h) = h**2. Let n(d) = b(d) + 4*c(d). Let u be n(-8). Sort 2, 1, u in descending order. u, 2, 1 Suppose -h + 15 - 2 = 0. Let k = -4 + h. Let g = -13 + k. Sort 4, -3, g in decreasing order. 4, -3, g Let b = -0.07 - 0.93. Let t = 14.2 - 18. Let u = 3.6 + t. Sort u, 0.2, b. b, u, 0.2 Let x be 24/56*14/2. Suppose 13 = -x*i + 16. Let h = -2 - -2. Put -1, h, i in descending order. i, h, -1 Let h(z) = -z**2 + 4*z - 2. Let s be h(2). Suppose 3*n = -a + 1, -n = a + a - s. Let g be -4*1/(-2)*-1. Sort n, -5, g in ascending order. -5, g, n Let q(c) = -8*c - 9. Let f be q(-1). Let y be ((-1)/2)/((-5)/30). Sort f, -2, y. -2, f, y Let s be (-6)/(-4)*(-12)/9. Let q(n) = -2*n + n**2 - 1 + 4 - 1 - 8. Let k be q(4). Sort k, -4, s in descending order. k, s, -4 Suppose 0*t - t = 0, 0 = 2*y + 2*t. Put y, -5, 166 in descending order. 166, y, -5 Let p be 2 + -1 - (-15 - -23). Sort 4, p, -9 in decreasing order. 4, p, -9 Let i(y) = -y**3 - 6*y**2 + y + 11. Suppose -5*u = 3*q + 31 + 14, 3*q + 3 = 2*u. Let t be i(u). Sort t, 3, -4, 2 in descending order. t, 3, 2, -4 Let d = 490/9 - 2432/45. Put d, 5, 4/3, -6/17 in increasing order. -6/17, d, 4/3, 5 Let b = -27 - -29. Let x = b + -9. Sort x, -0.4, -1 in increasing order. x, -1, -0.4 Let h = 203/3 - 67. Sort h, -2, 1/3, -12 in ascending order. -12, -2, 1/3, h Let k(c) = 2 + 4 - 3 + 16*c - 6. Let h be k(1). Suppose 4*d - 12 = 4*o, -o - h = 4*d - 0*o. Sort -1, d, 5. d, -1, 5 Let d = 183 - 188. Sort -2/15, -2, d, 2/5 in decreasing order. 2/5, -2/15, -2, d Suppose 2*x = 44*x - 126. Sort -7, x, 0, -3 in decreasing order. x, 0, -3, -7 Suppose 3*z + 2 = -4*n, -3*n + 2 = 2*z + 4. Let c be (0 + 0 + -1)*(-3 + 9). Sort z, c, 6. c, z, 6 Let q(t) = 4*t + 3. Let c be q(-2). Suppose m - 4*g + 20 = 5*m, 0 = m + 2*g - 5. Put -10, c, m in descending order. m, c, -10 Let k(t) = t**3 - 3*t. Let l be k(-2). Suppose -x + 20 = 2*v + 3*x, 3*x = v + 10. Sort -13, l, v, 4 in decreasing order. 4, v, l, -13 Let j be (-84)/22 - (-12)/(-66). Sort -1, j, 83, 1 in ascending order. j, -1, 1, 83 Let i = 0.017 + 0.983. Let x = 18/13 + -152/91. Sort -2/11, x, i in descending order. i, -2/11, x Let u = -4 - -8. Suppose -j + 6*j + 5*p = -45, 0 = 4*p + 8. Put j, -5, u in increasing order. j, -5, u Suppose 73 = 4*c - p, -p = 2*c + 3*c - 98. Let r = 21 - c. Sort 0, r, -2 in descending order. r, 0, -2 Let o be ((-168)/(-9))/(-4) - 5/15. Let c be (-5)/(5/(-2)) - 0. Suppose 4*m = 3*s, c*m - 6*s + 2 = -4*s. Put -3, m, o in descending order. m, -3, o Let j(c) = 8*c**2 - 6*c - 4. Let m be j(-3). Let p = m + -91. Put 1, -13, -3, p in ascending order. -13, p, -3, 1 Let h = 1985 - 1990. Let v = -9 - -5. Suppose 10 = 4*n - 6. Sort n, h, v in descending order. n, v, h Let g be (-2)/8 - (-19 - (-996)/48). Put 4, g, 71, 0 in descending order. 71, 4, 0, g Let j = -40 - -38.1. Let a = j + 3.9. Sort -1/2, -0.2, a, 2/11. -1/2, -0.2, 2/11, a Let i = 1.9 - 1.86. Let d = -7.3 - -7.8. Put -0.4, i, d in decreasing order. d, i, -0.4 Let l be 1 - (9 + (1 - 2)). Suppose -17*g - 26*g = 0. Put g, l, 5 in decreasing order. 5, g, l Let c = -0.544 - 0.026. Let t = 0.97 + c. Put 1, 5, t, -5 in ascending order. -5, t, 1, 5 Let j(v) = -v - 1. Let c be j(3). Let u(g) = 2*g**2 - g - 1. Let z = 4 + -2. Let x be u(z). Sort x, c, -1 in decreasing order. x, -1, c Let c = -2905/3 - -969. Let d be 4/10 + (-7614)/210. Let n = d - -36. Put c, 1, n in descending order. 1, c, n Let u be (150/900)/(2/(-16)). Sort -0.3, -3/2, u, 0.7 in descending order. 0.7, -0.3, u, -3/2 Let h = 0.028 - -0.072. Sort -6, 0.13, h in descending order. 0.13, h, -6 Let w = 98 - 95. Let z be (-1)/(-1 + 6042/6081). Let c = 156 - z. Sort 1/4, w, c in descending order. w, 1/4, c Let m = 1196 + -1207. Sort 2, 4, -8, m in ascending order. m, -8, 2, 4 Let r(b) = 2*b**3 - 2*b**2 - 2*b + 2. Let t be r(2). Let n = t - 6. Suppose 0*u - 5*u = n. Sort u, -2, 1 in ascending order. -2, u, 1 Let h = -317/4 + 79. Let n(s) = -s**2 + 3*s - 5. Let o be n(4). Let u(j) = j + 10. Let z be u(o). Sort 5, z, h in ascending order. h, z, 5 Let u = -59/64 + 27/64. Put 65, u, -0.3 in descending order. 65, -0.3, u Let v = -27 - -28.45. Let d = 1.35 - v. Sort -0.5, 0.02, d, -2/21. -0.5, d, -2/21, 0.02 Suppose 5*b = 3*n + 18 + 2, -5*n + 5*b = 30. Sort -6/17, -1, n in descending order. -6/17, -1, n Let d = 0.089 - -1.911. Let c be 1 + ((-150)/27)/2 + 2. Sort -0.1, d, c, -2/5 in descending order. d, c, -0.1, -2/5 Let z = -74 + 124. Let d = 36 - z. Let w = -13 - d. Put -1, -3, w in decreasing order. w, -1, -3 Let y = 166 - 166.1. Sort y, 0.1, 4, 5 in descending order. 5, 4, 0.1, y Let i = -798 - -795. Sort 72, i, 4 in descending order. 72, 4, i Suppose 0 = -5*y - 2*y + 21. Let x be ((-3)/2)/(15/6 - y). Sort x, -4, -0.5. -4, -0.5, x Let t = 16.28 - 0.28. Let u = 2.33 - -1.67. Let p = t - u. Put p, 0.5, 1/8 in increasing order. 1/8, 0.5, p Suppose -14*l + 37 = -4*x - 9*l, -2*l = -2*x - 16. Suppose 7*o - 3*o = 0. Suppose o = v - 4*v + 15. Put v, -5, x in ascending order. -5, x, v Let r be (2 + 1)/((-315)/14). Suppose -41*o = -44*o - 3. Sort 0.5, 1/3, r, o. o, r, 1/3, 0.5 Suppose 5 = s + c, 0*s - 3*c = -2*s + 15. Let o be 1 + s/(3/(-1)). Suppose 18 = -5*x - l, 3*l + 3 = -6. Sort x, o, 0. x, o, 0 Suppose -7*h + 21 + 14 = 0. Suppose 0 = -4*y + h*m - m + 16, -16 = -4*y - 4*m. Sort -2, 5, y. -2, y, 5 Let r = 0.085 + -0.185. Let d = -14 + 55/4. Put 2/11, 0.4, r, d in increasing order. d, r, 2/11, 0.4 Suppose -42*t + 16*t + 1222 = 0. Sort t, -5, 5 in ascending order. -5, 5, t Suppose 0 = -y + l - 3, y + 2*l + 18 = -3*y. Suppose -37*n + 7*n - 102 - 48 = 0. Sort n, 5, y in decreasing order. 5, y, n Let t(n) = n**2 + 5*n + 5. Let j be t(-2). Let g = -0.336 - -0.136. Sort 1, g, j in ascending order. j, g, 1 Suppose -5*f + 20 = 5*w, -45*w + 5*f - 10 = -40*w. Let u = 4 - 7. Let o be (-1 - 0) + 1*(1 + 2). Sort u, w, o in ascending order. u, w, o Let b(q) = -5*q. Let x be b(-1). Suppose -x + 6 = -o. Let n be 3 + -1 + (-1 - 1). Sort o, 3, n in increasing order. o, n, 3 Let i = 0.024 - 1.975. Let m = i - 0.049. Sort m, 4, 0.3, -5 in ascending order. -5, m, 0.3, 4 Let z = 84 + -74. Sort 1, -3, 4, z. -3, 1, 4, z Let s be (-10)/22*(10 + 432/(-45)). Let b = -6 + 6.6. Let x = b + -1. Sort x, 1/3, s in decreasing order. 1/3, s, x Suppose 0 = -5*h - 4*u + 75, 3 - 26 = -3*h + 2*u. Suppose h*l = 13*l + 2. Put -2, -7, l in descending order.
{ "pile_set_name": "DM Mathematics" }
25*u Collect the terms in -2*r**2 - 1034*r + 1034*r. -2*r**2 Collect the terms in 29*z**3 - 19*z + 19*z. 29*z**3 Collect the terms in -6*h - 25*h**3 + 7*h + 23*h**3 - h. -2*h**3 Collect the terms in -3*x**3 - 6965 + 6965. -3*x**3 Collect the terms in -12*d**3 + 7*d**3 - 19*d**3 - 11*d**3. -35*d**3 Collect the terms in 13*x**3 + 13*x**3 + 9*x**3 - 33*x**3. 2*x**3 Collect the terms in -2*r**3 + 136 + 135 - 271. -2*r**3 Collect the terms in 25*j + 46*j - 5 + 5. 71*j Collect the terms in -21*a + 51*a - 29*a. a Collect the terms in 2*c**2 - 11730*c + 2*c**2 + 11730*c. 4*c**2 Collect the terms in -39442 - f**3 + 39442. -f**3 Collect the terms in -14*v**3 - 44248*v**2 + 44248*v**2. -14*v**3 Collect the terms in -6*u**3 + 6*u**3 - 4*u**3. -4*u**3 Collect the terms in 2*i**3 + 29038*i**2 + 0 + 0 - 29038*i**2. 2*i**3 Collect the terms in -899 + 5*y + 450 + 449. 5*y Collect the terms in 18*h**3 + h**3 - 6*h**3 + h**3. 14*h**3 Collect the terms in 50*q + 46*q + 55*q**2 - 96*q. 55*q**2 Collect the terms in -5*t**3 + 3*t**3 + 0*t**3. -2*t**3 Collect the terms in 5*x**2 + 2*x**2 - 11*x**2 - 6*x**2. -10*x**2 Collect the terms in -47*c + 27*c**2 - 33*c + 80*c. 27*c**2 Collect the terms in -30*k**2 + 15*k**2 + 13*k**2. -2*k**2 Collect the terms in 419 - 833 + 414 + 3*m**2. 3*m**2 Collect the terms in 3 + 2 + 5*s**2 - 5 + 4*s. 5*s**2 + 4*s Collect the terms in 21*d**2 + 1 + 2 - 1. 21*d**2 + 2 Collect the terms in 101*k**2 + 334*k**2 + 279*k**2. 714*k**2 Collect the terms in 4*s - 15*s**3 - 3*s - s. -15*s**3 Collect the terms in 1158*g**3 - 577*g**3 - 579*g**3. 2*g**3 Collect the terms in -30*r**3 - 20006*r**2 + 20006*r**2. -30*r**3 Collect the terms in 0*m**2 - 5*m**2 + 13*m**2. 8*m**2 Collect the terms in 7*a + 7*a + 9*a - 21*a. 2*a Collect the terms in 57*x - 37*x - 45*x. -25*x Collect the terms in x**2 + 5056 - 8*x + 3*x - 5056. x**2 - 5*x Collect the terms in -3*x - 143*x**2 + 3*x. -143*x**2 Collect the terms in -184*j**2 + 369*j**2 - 185*j**2 + 2*j**3. 2*j**3 Collect the terms in -15*u**3 - 57*u**3 + u**3. -71*u**3 Collect the terms in 45*x - 77*x**3 - 45*x. -77*x**3 Collect the terms in 5*a**2 - 26*a**2 - 36*a**2 + 10*a**2. -47*a**2 Collect the terms in -r**3 + 1 + 244373*r - 1 - 244373*r. -r**3 Collect the terms in -4*a + 10*a**3 - 9*a**3 - 2*a. a**3 - 6*a Collect the terms in 54*j**2 - 14*j**2 - 18*j**2 - 12*j**2. 10*j**2 Collect the terms in 777*g - 255*g - 256*g - 264*g. 2*g Collect the terms in 7*y + 8*y - 5*y - 2 - 1. 10*y - 3 Collect the terms in 0 + 184*q**3 - 166*q**3 + 0. 18*q**3 Collect the terms in 12442 - 12442 - 4*s**3. -4*s**3 Collect the terms in -63*j + 36*j + 175*j. 148*j Collect the terms in -2 - 7*w + 1 + 1. -7*w Collect the terms in -478*q**3 - 481*q**3 + 960*q**3. q**3 Collect the terms in 2*v - 85 + 85. 2*v Collect the terms in -3*f**2 + 58 - 123 + 65. -3*f**2 Collect the terms in -10*u**2 - 846*u**2 - 245*u**2. -1101*u**2 Collect the terms in -3*m**2 + 6*m**2 + 20*m**2 + 6*m**2. 29*m**2 Collect the terms in -6*u + 3*u + 5*u + 4*u. 6*u Collect the terms in 8*l - 127 + 127. 8*l Collect the terms in 9*y - y + 0*y + y. 9*y Collect the terms in 6*p + p - 7*p + p**2. p**2 Collect the terms in 2*h**3 - 2*h**3 + 3*h**3 + 3*h**3. 6*h**3 Collect the terms in i - 604*i**2 - i + 614*i**2. 10*i**2 Collect the terms in -2*t**2 - 61*t**3 - 7*t**2 + 38*t**3. -23*t**3 - 9*t**2 Collect the terms in c + c + 532 - 1067 + 535. 2*c Collect the terms in 13*w**2 + 4*w**3 - 13*w**2. 4*w**3 Collect the terms in -348*c**2 - 220*c**2 + 19*c**2. -549*c**2 Collect the terms in 64092 - 11*n**2 - 64092. -11*n**2 Collect the terms in 10 - 2*h + 12 - 22. -2*h Collect the terms in 2 - 2 + 4*r + 225*r**3. 225*r**3 + 4*r Collect the terms in 18*j - 22*j + 12*j. 8*j Collect the terms in 4 - 1 + 2 - w**2. -w**2 + 5 Collect the terms in -5*r**3 - r**2 - 31*r + r**2 + 31*r. -5*r**3 Collect the terms in 43*s**2 + 28*s**2 - 68*s**2. 3*s**2 Collect the terms in -1 + 69*w + 67*w - 4 - 135*w. w - 5 Collect the terms in -3*f + 5*f - 3*f + 8*f. 7*f Collect the terms in 7*b**2 - 3*b**2 - 2*b**2. 2*b**2 Collect the terms in -3675 + 2*u**2 + 3675. 2*u**2 Collect the terms in -30 + 60 - 30 + 54*l. 54*l Collect the terms in 0*j + 5*j - 12*j. -7*j Collect the terms in 232*j - 118*j - 113*j. j Collect the terms in -34981 + 34981 - 7*s**3. -7*s**3 Collect the terms in -274*s**2 + 65*s**2 - 13*s**2. -222*s**2 Collect the terms in 26*c - 39 + 39. 26*c Collect the terms in -5*p + 5*p + 6*p. 6*p Collect the terms in -2 + 23*h**2 + 11*h**2 + 2. 34*h**2 Collect the terms in 2*h - 14*h - 2*h - 11*h. -25*h Collect the terms in -s - s + 28*s + s. 27*s Collect the terms in 11*d**3 - d**3 - 9*d**3. d**3 Collect the terms in 0*d**2 + 23*d**3 + 0*d**2 - 16*d**3 - 14*d**3. -7*d**3 Collect the terms in -1 - 2 - 1 + 3 - 10*k. -10*k - 1 Collect the terms in 13*d**3 + 13*d**3 - 31*d**3. -5*d**3 Collect the terms in 470*j**2 + 429*j**2 - 859*j**2. 40*j**2 Collect the terms in -3*k - 2*k + 5 - 3*k. -8*k + 5 Collect the terms in -304*p + 10*p**2 - 8*p**2 + 304*p. 2*p**2 Collect the terms in 9*u - 13*u - 49 + 49. -4*u Collect the terms in 4*s**3 + 7*s**3 + 6*s**3 - 16*s**3. s**3 Collect the terms in -6*q + 7*q - q - 20*q**2. -20*q**2 Collect the terms in -6*b**2 - 103*b**2 + 19*b**2. -90*b**2 Collect the terms in -9*w**2 + 11*w**2 - 10*w**2. -8*w**2 Collect the terms in 156408*y - y**2 - 2*y**2 - 156408*y + 4*y**2. y**2 Collect the terms in 67 - 67 - 12*l. -12*l Collect the terms in 13*q**3 - 1 + 1 - 141*q**3. -128*q**3 Collect the terms in -98*m + 50*m + 43*m. -5*m Collect the terms in 9*n**2 + 70 - 32 - 38. 9*n**2 Collect the terms in 2*k**2 - 2*k**2 + 0*k**2 - 5*k**2. -5*k**2 Collect the terms in 4250 + 2*c - 4250. 2*c Collect the terms in 0*g**2 - 4*g**2 - 5*g**2 - 5*g**2. -14*g**2 Collect the terms in -6*z + 7*z - 2*z - 2*z. -3*z Collect the terms in -2*s**3 + s**3 + 8*s**3 + 6*s**3. 13*s**3 Collect the terms in 306*o**2 - 580*o**2 + 276*o**2. 2*o**2 Collect the terms in -2 - 7*w**3 + 4 - 2. -7*w**3 Collect the terms in 84*r + 77*r - 236*r + 76*r. r Collect the terms in 5*r**2 - 32*r**2 - 11*r**2 - 4*r**2. -42*r**2 Collect the terms in 4*l**2 + 13*l**3 - 6*l**2 + 2*l**2. 13*l**3 Collect the terms in 0 + 187*m - 1 + 3. 187*m + 2 Collect the terms in -3*v**3 + 2*v - 2*v + 99*v**3. 96*v**3 Collect the terms in 14*a - 30*a + 7*a + 6*a. -3*a Collect the terms in 565*b - 1138*b + 568*b. -5*b Collect the terms in -165*w**3 + 28*w**3 + 138*w**3. w**3 Collect the terms in 35*m**3 - 15*m**3 - 26*m**3. -6*m**3 Collect the terms in -1 - 2 + 2*c - 1. 2*c - 4 Collect the terms in 1660*w**2 + 2*w**3 - 1660*w**2. 2*w**3 Collect the terms in 8*z**2 - z + z + 8*z**2. 16*z**2 Collect the terms in 2*o + 3*o**2 - 3*o**2 - o - o**3. -o**3 + o Collect the terms in -3*l + 16*l - 12*l + 31*l**2. 31*l**2 + l Collect the terms in 245 - 8*p - 491 + 246. -8*p Collect the terms in 23 + 2*o**3 - 4 - 14 - 5. 2*o**3 Collect the terms in -16*y - 1135 + 1135. -16*y Collect the terms in 0*r - 512*r**3 + 0*r + 513*r**3. r**3 Collect the terms in -45 + s + 2*s + s. 4*s - 45 Collect the terms in l - 1 - l - 7*l. -7*l - 1 Collect the terms in 12*k**2 + 3517 - 3517. 12*k**2 Collect the terms in -221*s + 221*s + 7*s**2 - 11*s**2. -4*s**2 Collect the terms in -h + h + 0*h - 95 - h. -h - 95 Collect the terms in 2*w**3 + 113*w**2 - 61*w**2 - 52*w**2. 2*w**3 Collect the terms in 0 + 0 + 290*i - 294*i. -4*i Collect the terms in -130*w**3 - 136*w**3 + 262*w**3. -4*w**3 Collect the terms in -7*u**2 + 3*u**2 + 3*u**2. -u**2 Collect the terms in 286*f**3 - 3*f - 285*f**3 + 3*f. f**3 Collect the terms in -2 + 2 - m - 33*m**2. -33*m**2 - m Collect the terms in -13 - 10 + 8*f**2 + 23. 8*f**2 Collect the terms in 19*z**2 - z + 0*z + z. 19*z**2 Collect the terms in 2*b - 4*b - 9*b + 6*b. -5*b Collect the terms in -19*q**2 + 51*q**2 - 34*q**2. -2*q**2 Collect the terms in -1 + 72*i**2 + 1 - 148*i**2 + 72*i**2. -4*i**2 Collect the terms in -23*g**3 - 24*g**3 + 45*g**3. -2*g**3 Collect the terms in 6*l**3 + 9*l**3 + 9*l**3 - 23*l**3. l**3 Collect the terms in 7*p + 47*p - 52*p. 2*p Collect the terms in -14*i**2 - 6*i**2 - 122 + 122. -20*i**2 Collect the terms in 5*d**2 + 0*d - 44*d**2 + 2*d. -39*d**2 + 2*d Collect the terms in 0 + 0 + 114*x - 123*x + 0. -9*
{ "pile_set_name": "DM Mathematics" }
in decreasing order. 14, 0, -3 Sort 0.3, 80, 9, -0.2, -1 in descending order. 80, 9, 0.3, -0.2, -1 Put -8, -1, -18 in descending order. -1, -8, -18 Put -1, -330, 1/5, 2, 0.3 in decreasing order. 2, 0.3, 1/5, -1, -330 Sort 0.2, 1/4, 2/3, 106. 0.2, 1/4, 2/3, 106 Put -0.14, -0.09, 1, -3 in decreasing order. 1, -0.09, -0.14, -3 Sort 3, 2, 4, 92 in increasing order. 2, 3, 4, 92 Sort 0, -4, 4, -5, 10. -5, -4, 0, 4, 10 Sort 587, 2, -5 in descending order. 587, 2, -5 Sort -4, -0.1, 55 in decreasing order. 55, -0.1, -4 Sort 4, -44, 1, -4. -44, -4, 1, 4 Sort -1, -3, -5 in increasing order. -5, -3, -1 Sort 0, 5, -128 in descending order. 5, 0, -128 Sort -4, -1, 140, 5 in decreasing order. 140, 5, -1, -4 Sort -45, -1/2, -0.2 in decreasing order. -0.2, -1/2, -45 Sort 3, 20, -7, -3, 1. -7, -3, 1, 3, 20 Sort 4, 2, 25, 0 in descending order. 25, 4, 2, 0 Put -1/2, 7, 1/16 in ascending order. -1/2, 1/16, 7 Sort 4/5, 2/14041, 5. 2/14041, 4/5, 5 Sort -5, 71, -3, -4/3, -0.3 in decreasing order. 71, -0.3, -4/3, -3, -5 Sort 41, -2/5, -2 in increasing order. -2, -2/5, 41 Put 584, 1, 2 in ascending order. 1, 2, 584 Put 2, 3, 1, -10, 17 in decreasing order. 17, 3, 2, 1, -10 Put 2/33, -0.04, 0, 1/4 in descending order. 1/4, 2/33, 0, -0.04 Sort -1/4, -0.07, 0.5 in descending order. 0.5, -0.07, -1/4 Sort -4, -2, 147 in descending order. 147, -2, -4 Put -244, 3, -2 in descending order. 3, -2, -244 Put 3, 4, 1, -12 in ascending order. -12, 1, 3, 4 Put -8, -4, -1, 0.2 in ascending order. -8, -4, -1, 0.2 Sort 17, 0, -4, 2 in decreasing order. 17, 2, 0, -4 Sort 5, -2.3, -2, 0.4 in decreasing order. 5, 0.4, -2, -2.3 Put -0.4, -0.1, 3, -4.1 in descending order. 3, -0.1, -0.4, -4.1 Put 5, -5, -24 in ascending order. -24, -5, 5 Sort 0, 3/7, 0.5, -10, -2/11 in decreasing order. 0.5, 3/7, 0, -2/11, -10 Sort 3, 4, 0, 50. 0, 3, 4, 50 Put -5, -15, 15 in ascending order. -15, -5, 15 Sort 2, -8, 1/62 in descending order. 2, 1/62, -8 Sort 0.1, 0.5, 3, 8 in descending order. 8, 3, 0.5, 0.1 Put 6/23, -0.4, 4, 1/14 in decreasing order. 4, 6/23, 1/14, -0.4 Sort 2, -1002, -2/3, -1 in decreasing order. 2, -2/3, -1, -1002 Sort 5, 19, 1, -5, 7. -5, 1, 5, 7, 19 Sort -26, -1/4, -86 in descending order. -1/4, -26, -86 Sort 1, 3, -8, -5 in descending order. 3, 1, -5, -8 Sort -1, -5, 8, 2 in ascending order. -5, -1, 2, 8 Sort 0.4, 8, 2/49, -0.5 in ascending order. -0.5, 2/49, 0.4, 8 Sort -4, 25/2, 5. -4, 5, 25/2 Sort -2, 1, -8, 2 in descending order. 2, 1, -2, -8 Sort -4, -5, 0, 152. -5, -4, 0, 152 Put -4/7, 0.5, 21, 8/5 in decreasing order. 21, 8/5, 0.5, -4/7 Put 0.2, -1.04, 1, 1/10, 0.3 in descending order. 1, 0.3, 0.2, 1/10, -1.04 Sort -650, -1, 2. -650, -1, 2 Sort -1/267, 0, -3, -2 in ascending order. -3, -2, -1/267, 0 Sort 0.2, -0.3, -2.6, 1 in descending order. 1, 0.2, -0.3, -2.6 Sort -4, 87, -12 in decreasing order. 87, -4, -12 Sort 2, -5, -1924, 0. -1924, -5, 0, 2 Put 6, 1, -5/4, -2/7 in decreasing order. 6, 1, -2/7, -5/4 Sort -2/11, -28, -0.06, 4. -28, -2/11, -0.06, 4 Sort -5, 111, 3, 5. -5, 3, 5, 111 Sort 3, 4, 365 in ascending order. 3, 4, 365 Put 19, 5, 3, 2 in ascending order. 2, 3, 5, 19 Sort 8, -5, 6, 14 in descending order. 14, 8, 6, -5 Put -3, -2, 5, -1 in decreasing order. 5, -1, -2, -3 Sort -3, 6, -5, -2, 7 in decreasing order. 7, 6, -2, -3, -5 Put 33, 2, 0 in increasing order. 0, 2, 33 Put -1, -20, 4, 5 in descending order. 5, 4, -1, -20 Put 171, -1, 1, -5 in decreasing order. 171, 1, -1, -5 Put 5, 9, -3, 4 in increasing order. -3, 4, 5, 9 Put -1, 2, 5, 0.038, 0.3 in descending order. 5, 2, 0.3, 0.038, -1 Put 1, 4, -3, 5 in descending order. 5, 4, 1, -3 Sort 3, -400, -1, -2 in ascending order. -400, -2, -1, 3 Put 3/4, -2/5, 0.1, 1/2 in increasing order. -2/5, 0.1, 1/2, 3/4 Put -43, 2, -76, -2 in increasing order. -76, -43, -2, 2 Put 7, 0.4, 0.03, -4 in ascending order. -4, 0.03, 0.4, 7 Sort 13, -2, -3, 2 in ascending order. -3, -2, 2, 13 Sort 2, -2, 131, -3. -3, -2, 2, 131 Sort -15, -4, 0, 3, 4 in increasing order. -15, -4, 0, 3, 4 Put -4, 0, -2, 1 in increasing order. -4, -2, 0, 1 Sort -3, -5, 5, -6, 4 in ascending order. -6, -5, -3, 4, 5 Put -4, 7, -5 in ascending order. -5, -4, 7 Sort 4, 0, 7, -1 in descending order. 7, 4, 0, -1 Sort 69, -2, 0.3 in ascending order. -2, 0.3, 69 Sort 2, 2/7, 1, -1/8 in increasing order. -1/8, 2/7, 1, 2 Sort 5, 1, -1, 2 in descending order. 5, 2, 1, -1 Sort -295, 0, 1 in ascending order. -295, 0, 1 Sort 5, -3, 2, 3031. -3, 2, 5, 3031 Put -1218, 5, -3 in decreasing order. 5, -3, -1218 Sort -1, -59, 6, 5, -2 in increasing order. -59, -2, -1, 5, 6 Put -4, -3, 4, -5, -152 in ascending order. -152, -5, -4, -3, 4 Sort 2, 4, -1. -1, 2, 4 Put -7, -3, -12 in ascending order. -12, -7, -3 Sort 0, 4, 93 in descending order. 93, 4, 0 Sort -4, -1/9, -0.3, 1. -4, -0.3, -1/9, 1 Sort -0.03, 4, -0.3, -3/7 in increasing order. -3/7, -0.3, -0.03, 4 Sort 5, -0.4, 2, -8, -0.1 in increasing order. -8, -0.4, -0.1, 2, 5 Sort 0.04, 0.07, -2 in ascending order. -2, 0.04, 0.07 Put 16, 3, -5 in descending order. 16, 3, -5 Put -0.03, 0.2, 1/7, -10/13, -0.4 in decreasing order. 0.2, 1/7, -0.03, -0.4, -10/13 Sort 0, -18, 2 in decreasing order. 2, 0, -18 Put -0.5, 449, -3 in descending order. 449, -0.5, -3 Put 2, -2, -152 in descending order. 2, -2, -152 Sort -32, 3, -11, 0. -32, -11, 0, 3 Sort 5, -4, -111, 3 in ascending order. -111, -4, 3, 5 Sort -5, -42, 2/7, 1. -42, -5, 2/7, 1 Sort 3, 229, 0, -2 in decreasing order. 229, 3, 0, -2 Sort -5, -0.115, -2/9 in descending order. -0.115, -2/9, -5 Sort 1/84, -1, 139/4. -1, 1/84, 139/4 Sort 2, -9, -273 in increasing order. -273, -9, 2 Sort 3, -0.08, -5, 5 in descending order. 5, 3, -0.08, -5 Sort -5, 0, -36, -4 in ascending order. -36, -5, -4, 0 Put 2/21, 2, 2/9, 2/7 in decreasing order. 2, 2/7, 2/9, 2/21 Sort 7, 35, -4, 5. -4, 5, 7, 35 Sort -26, -1, 17, 1, -5 in decreasing order. 17, 1, -1, -5, -26 Sort -4, -1/9, -0.4, -8, 1. -8, -4, -0.4, -1/9, 1 Put -0.1, -2/25, 1 in descending order. 1, -2/25, -0.1 Put 5, 0.3, -3/5, 1/2, -0.5 in increasing order. -3/5, -0.5, 0.3, 1/2, 5 Put 7/3, 0.5, 9/5 in descending order. 7/3, 9/5, 0.5 Put -1, -0.51, 0.2 in ascending order. -1, -0.51, 0.2 Put 2, 1, -4, -30 in descending order. 2, 1, -4, -30 Sort 1, 2, -2, 28 in descending order. 28, 2, 1, -2 Sort -9, -25, -1 in ascending order. -25, -9, -1 Put 3, -4, 3/2, 1 in decreasing order. 3, 3/2, 1, -4 Put -3/5, -6, 0.14 in descending order. 0.14, -3/5, -6 Put -93, -5/4, 25 in decreasing order. 25, -5/4, -93 Put 3, 6, 2, -4 in decreasing order. 6, 3, 2, -4 Sort 4/5, -24/7, -3/8 in descending order. 4/5, -3/8, -24/7 Put 4, -3, -9, 5 in decreasing order. 5, 4, -3, -9 Put -5, 7, -34 in increasing order. -34, -5, 7 Sort -3, 27, 6, 1 in decreasing order. 27, 6, 1, -3 Sort 2, 2/17, -6/17, 12 in decreasing order. 12, 2, 2/17, -6/17 Sort -3, 47, 4, -4 in decreasing order. 47, 4, -3, -4 Put -1/60, -3, -1/6, -9 in decreasing order. -1/60, -1/6, -3, -9 Sort -2, 6, -24 in ascending order. -24, -2, 6 Sort -0.4, 5, -9 in decreasing order. 5, -0.4, -9 Put -4/7, -0.5, -1, -0.01 in descending order. -0.01, -0.5, -4/7, -1 Sort 1, 1345, 5 in decreasing order. 1345, 5, 1 Put -1/9, 0.5, -1, -524 in descending order. 0.5, -1/9, -1, -524 Put 2, -42, 4, -8 in decreasing order. 4, 2, -8, -42 Sort 6, 47, -5, 3. -5, 3, 6, 47 Sort 1, -1, -3. -3, -1, 1 Put -14, -3, 2, -5, 11 in descending order. 11, 2, -3, -5, -14 Sort -138, 2, -1 in decreasing order. 2, -1, -138 Sort -3, 4, 1, -1, -4. -4, -3, -1, 1, 4 Sort -4, 4, -1, -30 in increasing order. -30, -4, -1, 4 Sort 4, 3/7, -24 in descending order. 4, 3/7, -24 Put 4, 17, 3, -4, 49 in decreasing order. 49, 17, 4, 3, -4 Put -3, -21, 2, -5 in decreasing order. 2, -3, -5, -21 Sort -2, 1, -17, 3 in increasing order. -17, -2, 1, 3 Sort -28/5, -0.2, 2/3, -0.08. -28/5, -0.2, -0.08, 2/3 Sort 2, 2/7, -3218/3 in descending order. 2, 2/7, -3218/3 Sort 3, -18, 13 in decreasing order. 13, 3, -18 Sort -129, -5, 0.4 in decreasing order. 0.4, -5, -129 Sort -2, 4/9, -0.2 in descending order. 4/9, -0.2, -2 Sort 4, -2, 1, 3. -2, 1, 3, 4 Put 7, 0, 2, -3 in descending order. 7, 2, 0, -3 Sort 33, 5, 3, -4, -9. -9, -4, 3, 5, 33 Put 4, -2, 1, 31, 7 in descending order. 31, 7, 4, 1, -2 Put 3/2, -3, -15/4, -1/6, -5 in descending order. 3/2, -1/6, -3, -15/4, -5
{ "pile_set_name": "DM Mathematics" }
sor of 50 and c? 25 Suppose -8*x = -6*x - 50. Let b be 4/(-8)*(-1 + -19). Calculate the highest common divisor of x and b. 5 Let f = -31 + 53. Let h = -1 - 5. Let b be ((-1 - h) + -3)*1. What is the greatest common factor of b and f? 2 Let y(r) = r**2 + 8*r - 9. Let m be y(-9). Suppose i + i + 10 = m. Let n = 15 + i. What is the highest common factor of n and 20? 10 Let t = 4 - 5. Let s(x) = -44*x**3 + x + 1. Let w be s(t). What is the greatest common factor of w and 110? 22 Let t = 6 - -10. Suppose 6*x - 26 = 3*x - f, t = 2*x + 2*f. What is the highest common factor of x and 9? 9 Let u(j) = -j**3 + 5*j**2 - 2*j - 4. Let x be u(4). Let l(f) = -4*f. Let g be l(x). Let r = 23 + g. What is the highest common factor of 77 and r? 7 Let g(c) = -154*c**3 + c**2 + 2*c + 1. Let o be g(-1). What is the highest common factor of 22 and o? 22 Let p be (2 + 1/(-2))*2. Suppose 2*b - 135 = -p*b. What is the greatest common divisor of b and 297? 27 Let z(s) = -s - 6. Let g be z(-7). Suppose -3*r - 7 = -g. Let x be -2 - -77 - (r + 0). Calculate the highest common divisor of 7 and x. 7 Let l = 63 + -42. Suppose 4*r + 122 = -82. Let x be r/(-7) - 14/49. What is the greatest common factor of l and x? 7 Suppose 0 = h - 5*z + 17, 2*z = -5*h + 53 - 3. Let l = h + -2. Calculate the highest common divisor of l and 6. 6 Let j(m) = -3*m**2 + 15*m + 5. Let r be j(5). What is the highest common divisor of r and 55? 5 Suppose 5*u = 3*n - 33 - 17, n = 5*u + 30. Calculate the highest common divisor of 90 and n. 10 Let j(l) = -l**2 + 8*l + 9. Let y be j(8). Calculate the greatest common factor of 99 and y. 9 Let v be 1*6*(-3 - -2). Let f(n) = n**2 + 7*n + 1. Let q be f(v). Let j be (-28)/q - 6/(-15). What is the highest common divisor of j and 48? 6 Let o = 28 + -16. Suppose -4*b - h = -0*b - o, 3*h - 9 = -3*b. What is the highest common factor of b and 18? 3 Suppose 3*n = -7*n + 440. What is the highest common divisor of 4 and n? 4 Let v(f) = -f + 16. Let q be v(8). Calculate the greatest common factor of q and 32. 8 Let y be 30 - (4/4 - 1). What is the greatest common divisor of 6 and y? 6 Let z = 11 + -7. Suppose 2*b = -3*c + 8, 4*c + 13 + 3 = z*b. What is the greatest common factor of 36 and b? 4 Let n be (-2)/8 + (-990)/(-24). Calculate the greatest common divisor of 41 and n. 41 Let y(a) = -a**2 - 4*a - 4. Let z be y(-2). Let d = -1 + 3. Suppose -d*k - 5*b = -213, 4*b = -3*k - z*k + 309. Calculate the highest common divisor of k and 11. 11 Suppose 0 = -3*w + 7*w + 3*q - 339, -q = -3*w + 238. Calculate the greatest common factor of w and 9. 9 Let r be -4*(-2 + (2 - 1)). Let f be 2/2 - -3*r. Suppose -5*a + 7 = -n, a - 5 = -1. Calculate the greatest common divisor of f and n. 13 Let b be (-124)/(-7) - (-10)/35. Let r = b - 2. Let p = 13 + -9. Calculate the greatest common factor of r and p. 4 Suppose -3*g + 120 = 2*c, 5*g - 5*c - 178 = -c. What is the greatest common factor of g and 190? 38 Let j(x) = x**2 - x + 70. Let w be j(0). Let p = w - -117. Calculate the greatest common factor of 17 and p. 17 Let k(n) = -2*n + 4. Let a be k(3). Let u be 25/15 - a/6. Suppose -u*h + 2 = 10, -8 = q + 3*h. What is the highest common factor of q and 8? 4 Let x be ((-4)/2)/((-1)/10). Let r be (-12 + 6 - -103) + 3*1. Calculate the highest common divisor of x and r. 20 Let b(p) = -p**3 + 16*p**2 + 3. Let v be b(16). Calculate the greatest common factor of v and 15. 3 Suppose 0 = 2*w - 23 - 9. What is the greatest common divisor of w and 2? 2 Let y = -54 - -99. Suppose 2*g - y = -13. Let v = 342 - 182. What is the greatest common divisor of g and v? 16 Suppose 2*z - 2 = 12. Let y = z + -5. Calculate the highest common factor of 16 and y. 2 Let g be (2 - 1) + (-1 - 0). Let a be 14 + 2 + g + -2. What is the greatest common divisor of 56 and a? 14 Let i(t) = -t + 3. Let w be i(-5). Calculate the highest common divisor of w and 64. 8 Let j(y) = -y**2 + 3*y - 4. Let f be j(3). Let r be (f - -9)*(-3)/(-5). What is the highest common divisor of 27 and r? 3 Suppose 5*p + 14*p = 13376. Calculate the greatest common divisor of 64 and p. 64 Suppose 5*w + 3*t = 37, -4*w + 39 = 2*t + 9. Let x(z) = z**3 - 9*z**2 + 11*z - 8. Let v be x(w). What is the greatest common factor of 48 and v? 16 Let s be (-16)/(-2)*(-10)/(-8). Suppose -4*l - 94 = -3*x + 128, 4*x - 268 = -4*l. Calculate the greatest common divisor of x and s. 10 Let m(y) = -y + 7. Let k be 5*(1/1 - 3). Let b be m(k). Calculate the highest common factor of b and 85. 17 Suppose 6*n - 3*n = 6. Suppose -2*q + 41 = 5*m, q - 16 = m - n*m. Calculate the highest common divisor of 117 and q. 13 Let s = -708 - -1020. Calculate the greatest common divisor of 39 and s. 39 Let o = -54 + 72. What is the greatest common divisor of 36 and o? 18 Let j be 2 + 7 - (-1 - -4). What is the greatest common factor of 48 and j? 6 Suppose u + 1 = 0, g - 2*u + 78 = 3*g. Let o = -22 + g. What is the highest common factor of 9 and o? 9 Suppose 0 = -3*y - z + 82, -5*y - 4*z = -z - 134. What is the greatest common factor of y and 14? 14 Suppose -2*f - 5 = 5*o, o + 47 = -5*f - 0*o. Let h be ((-15)/f)/(1/2). Calculate the highest common divisor of h and 12. 3 Let r = 10 - 8. Let p be (-2)/(-6)*(16 + r). Calculate the highest common divisor of p and 30. 6 Let x = 37 + -12. Calculate the greatest common divisor of x and 175. 25 Suppose -5*w = -j - 78, -3*w + 2*w - 5*j = 0. Let p(n) = 3*n + 75. Let r be p(15). Calculate the highest common divisor of r and w. 15 Suppose 0 = 4*z + 4 - 72. Let x be 2*((-15)/(-6) + 0). Suppose 415 = 5*p + x*k, -4*p + k + 344 = -k. Calculate the greatest common divisor of z and p. 17 Let s(n) = -n**2 + 15*n - 9. Let w be s(14). Suppose w*p = 2*o - 0*p + 3, -15 = -5*p. Calculate the highest common factor of 48 and o. 6 Let g = 5 + -1. Let r = g + 0. Suppose -r*z = -2*z - 3*x - 302, 3*z - 5*x = 452. What is the greatest common factor of z and 14? 14 Let m(j) = -2*j**3 - 11*j**2. Let t(p) = -p**3 - p**2 - p. Let v(i) = m(i) - 4*t(i). Let z be v(4). What is the greatest common divisor of z and 8? 8 Let i = 32 - 7. Suppose 4*a - i = -a. What is the highest common divisor of a and 20? 5 Let m(o) = o - 3. Let w be m(8). Suppose -4*v = -w*q - 43, -4*v - q = 2*q - 51. Calculate the highest common factor of v and 6. 6 Suppose 0 = -15*u + 17*u - 16. What is the greatest common divisor of u and 64? 8 Suppose -1 = -4*x + 167. Calculate the highest common factor of x and 6. 6 Let x = 7 - -2. Calculate the highest common factor of x and 45. 9 Suppose -j + 6*j + 21 = m, -5*m + 47 = 4*j. Suppose h - 2*k = 6*h - 108, -45 = -2*h + k. What is the greatest common factor of h and m? 11 Suppose 5*p = 12 + 3. Suppose 0*o = -2*o + 8. Suppose p*m - 43 = -o. What is the greatest common factor of m and 117? 13 Suppose 27 = -2*p + 11*p. Calculate the highest common divisor of p and 12. 3 Let p(w) = w + 8. Let b be p(4). Calculate the highest common divisor of b and 12. 12 Let t be 1/3 - 16/(-6). Calculate the highest common factor of t and 6. 3 Suppose -5*g + 6*g + 2*r - 9 = 0, 0 = 4*r. Suppose 0 = -4*h - 0*q + 4*q + 56, -3*h - 3*q + 66 = 0. Calculate the highest common divisor of h and g. 9 Let c be (-165)/(-12) - (-2)/8. Let t = 6 - -50. Suppose -t = -p - 3*p. Calculate the highest common factor of p and c. 14 Suppose -x - 2 = -6. Let t(w) = w**3 - w**2 - w + 5. Let d be t(x). Suppose -2*m + 4*y + 24 = 2*m, -5*m = y - 36. What is the highest common divisor of d and m? 7 Let h = -21 + 23. What is the greatest common divisor of h and 18? 2 Suppose 371 = 4*d + 3*i, 5*i + 205 = 4*d - 2*d. Calculate the highest common factor of d and 19. 19 Suppose 1 = -4*k + 6*z - z, -2*z - 2 = -2*k. Let r be 2 + (-3)/(-9)*3. What is the highest common divisor of k and r? 3 Let f(w) = w**2 + 9*w + 4. Let m be f(-9). Suppose 5*a - 15 = -m*n, -a - a = 2. Let t = 7 + n. What is the highest common factor of 36 and t? 12 Let h(o) = 2*o**2 - 21*o - 15. Let k be h(15). What is the highest common factor of 24 and k? 24 Let p(x) = -2*x. Let v be p(9). Let m = -12 - v. Calculate the highest common divisor of m and 15. 3 Let x be (-48)/20*(-20)/6 + 4. Let h be 1/(-4) - 363/(-12). Calculate the highest common divisor of x and h. 6 Let y = 7 - 5. Suppose 4*o = y*o + 14. Let u(n) = -n**2 + 7*n + 4. Let w be u
{ "pile_set_name": "DM Mathematics" }
728 What is the common denominator of 50/57393 and -89/7288? 459144 Find the common denominator of 39/10 and -79/143142. 715710 Calculate the lowest common multiple of 40 and 67870. 271480 Calculate the lowest common multiple of 204 and 18156. 18156 What is the least common multiple of 497 and 6433? 456743 Calculate the smallest common multiple of 28600 and 775. 886600 What is the smallest common multiple of 182886 and 53790? 914430 What is the lowest common multiple of 24 and 11282? 135384 Find the common denominator of -25/29292 and -145/72. 175752 What is the common denominator of 23/126 and 11/534? 11214 What is the least common multiple of 105 and 165? 1155 What is the least common multiple of 1953536 and 22893? 5860608 Calculate the common denominator of -46 and -125/5736. 5736 Find the common denominator of 47/270 and 11/216. 1080 Calculate the common denominator of -77/10 and 22/171653. 1716530 Find the common denominator of 71/23704 and -133/53334. 213336 What is the common denominator of -27/4021 and -17/10? 40210 Calculate the common denominator of -169/480 and 55/458. 109920 Calculate the smallest common multiple of 11548 and 6. 34644 Find the common denominator of -149/84 and -107/668962. 4013772 What is the smallest common multiple of 5702 and 2498? 7121798 What is the smallest common multiple of 342 and 86241? 517446 Calculate the common denominator of 19/30759 and -50/71771. 215313 What is the smallest common multiple of 33414 and 12? 66828 Calculate the common denominator of -65/802 and -8/19. 15238 Calculate the common denominator of 67/152366 and 4/2059. 152366 What is the least common multiple of 2115 and 1410? 4230 Calculate the common denominator of -29/1210 and 31/21175. 42350 Find the common denominator of 32/39 and 68/2015. 6045 What is the common denominator of 1/2808 and 119/396? 30888 Calculate the smallest common multiple of 47136 and 68. 801312 Find the common denominator of -89/21462 and -113/182. 279006 Calculate the least common multiple of 150 and 120. 600 Find the common denominator of -41/516 and 61/688. 2064 What is the lowest common multiple of 39944 and 179748? 359496 Find the common denominator of 131/232704 and 31/7. 1628928 Calculate the smallest common multiple of 1167904 and 875928. 3503712 What is the common denominator of -111/160 and -75/20576? 102880 What is the common denominator of 107/447750 and 29/24750? 4925250 Calculate the least common multiple of 91 and 812. 10556 What is the lowest common multiple of 23874 and 1384? 95496 What is the smallest common multiple of 36 and 9234? 18468 Find the common denominator of 111/5896 and -29/1072. 11792 Calculate the common denominator of -127/1392 and 137/30798. 246384 Calculate the common denominator of -49/47476 and 81/166. 47476 What is the common denominator of 1/21025 and -34/145? 21025 Find the common denominator of 3/19100 and -83/931125. 3724500 Find the common denominator of -27/52 and 29/105664. 105664 Calculate the common denominator of 193/510 and 133/300. 5100 What is the common denominator of -47/4740 and 74/45? 14220 What is the common denominator of -33/10 and 79/4816? 24080 Find the common denominator of -51/46 and 67/7450. 171350 Find the common denominator of -53/50336 and 52/847. 352352 Calculate the common denominator of -43/18321 and -31/4334. 403062 Find the common denominator of 35/19104 and -131/3192. 2540832 What is the least common multiple of 12890 and 70895? 141790 Calculate the common denominator of 49/248176 and -9/22. 2729936 Find the common denominator of 85/7266 and 39/56. 29064 Calculate the common denominator of -73/880 and -127/23120. 254320 Calculate the lowest common multiple of 54 and 57504. 517536 Calculate the smallest common multiple of 90 and 11440. 102960 Calculate the common denominator of 43/4080 and -8/4515. 1228080 What is the smallest common multiple of 4356 and 260964? 2870604 Calculate the common denominator of -38/1785 and -79/3360. 57120 What is the smallest common multiple of 209840 and 1720? 209840 Calculate the common denominator of -6/657301 and 17/61430. 6573010 What is the smallest common multiple of 10 and 41854? 209270 Find the common denominator of 79/683628 and -103/24. 1367256 Find the common denominator of 35/789078 and -63/2776. 3156312 Calculate the lowest common multiple of 36 and 15996. 47988 Calculate the common denominator of -73/756276 and -91/40660. 3781380 What is the smallest common multiple of 6935 and 200260? 14618980 Find the common denominator of 91/164 and -99/512. 20992 What is the common denominator of 73/336 and 113/113088? 791616 What is the lowest common multiple of 25550 and 56? 102200 Calculate the common denominator of 115/56 and 85/3164. 6328 Calculate the smallest common multiple of 108342 and 25002. 325026 Calculate the common denominator of 38/8897 and 58/394051. 12215581 Calculate the lowest common multiple of 9288 and 32. 37152 Calculate the common denominator of -97/28328 and -25/748. 5297336 Calculate the common denominator of -79/7630 and 89/14. 7630 What is the least common multiple of 798560 and 1360? 13575520 Find the common denominator of 31/780 and 17/2002. 60060 Find the common denominator of -49/116020 and 71/18. 1044180 What is the lowest common multiple of 7936 and 4619? 1182464 What is the smallest common multiple of 110 and 5550? 61050 What is the common denominator of 76/28035 and -22/25365? 532665 What is the smallest common multiple of 24760 and 27236? 272360 What is the least common multiple of 45296 and 2980? 226480 Find the common denominator of 91/6 and -43/219996. 219996 What is the least common multiple of 228 and 105? 7980 What is the common denominator of -145/9906 and -103/5434? 2070354 Calculate the smallest common multiple of 130746 and 725046. 7975506 Find the common denominator of -37/9195 and 91/435. 266655 What is the lowest common multiple of 80 and 38544? 192720 What is the smallest common multiple of 54720 and 1520? 54720 What is the common denominator of -47/96534 and 1/85808? 772272 Calculate the lowest common multiple of 248 and 24. 744 Calculate the least common multiple of 105 and 22015. 66045 What is the lowest common multiple of 9333 and 1037? 9333 What is the common denominator of 23/78 and 45/18122? 54366 Calculate the common denominator of -99/788620 and -109/33012. 7097580 Calculate the least common multiple of 7238 and 105. 108570 What is the least common multiple of 1543 and 4? 6172 Calculate the common denominator of 133/32730 and -49/81825. 163650 What is the least common multiple of 16 and 9069? 145104 Calculate the least common multiple of 180 and 12380. 111420 What is the least common multiple of 9172 and 18344? 18344 Calculate the common denominator of -103/80 and -81/7144. 71440 Calculate the lowest common multiple of 16128 and 28. 16128 What is the common denominator of -24/2195 and -27/1924? 4223180 Find the common denominator of 113/48484 and 127/3910. 242420 What is the common denominator of 50/288531 and -57/160295? 1442655 What is the smallest common multiple of 62 and 13792? 427552 Calculate the lowest common multiple of 19413 and 23727. 213543 Calculate the least common multiple of 9 and 946. 8514 What is the smallest common multiple of 651 and 19840? 416640 Calculate the common denominator of -79/138060 and 68/6903. 138060 What is the common denominator of -137/66240 and -31/1725? 331200 Calculate the least common multiple of 452 and 5763. 23052 What is the common denominator of -113/8916 and -131/6888? 5117784 Calculate the smallest common multiple of 559874 and 294. 1679622 Calculate the common denominator of -99/424 and -93/91478. 365912 Calculate the common denominator of 35/58544 and 55/7318. 58544 What is the common denominator of -109/40 and 179/24600? 24600 Calculate the common denominator of 151/18 and -35/4728. 14184 Calculate the common denominator of 43/675 and 24/16145. 2179575 Find the common denominator of 62/17055 and 54/55. 187605 Calculate the common denominator of -89/154440 and 14/49005. 5096520 Calculate the smallest common multiple of 1449 and 2254. 20286 Calculate the common denominator of -82/6825 and 37/69. 156975 Calculate the common denominator of 37/47372 and 67/
{ "pile_set_name": "DM Mathematics" }
45 + 4*v**2/15 + 1810. Factor k(u). 2*u*(u + 2)**2/15 Let b(l) be the second derivative of l**6/270 + 13*l**5/180 + 11*l**4/108 - 13*l**3/54 - 2*l**2/3 + 451*l + 6. Let b(i) = 0. Calculate i. -12, -1, 1 Let q(s) be the second derivative of 49*s**6/180 + 7*s**5/24 - 2*s**4/3 - s**3 - 2*s + 770. Factor q(v). v*(v - 1)*(7*v + 6)**2/6 Let o(a) be the first derivative of -7*a**6/30 + 2*a**5/15 + 7*a**4/6 - 4*a**3/3 - 105*a**2/2 + 26. Let p(g) be the second derivative of o(g). Factor p(l). -4*(l - 1)*(l + 1)*(7*l - 2) Let b(w) = -6*w - 1. Let m be b(-1). Let k be ((13600/(-1904))/(2/4))/(102/(-21)). Factor -32/17*p - 14/17*p**4 - k*p**2 - 8/17 - 38/17*p**3 - 2/17*p**m. -2*(p + 1)**3*(p + 2)**2/17 Let w(y) be the second derivative of -y**5/10 + 2*y**4/3 + 32*y**3/3 - 1430*y - 2. Factor w(a). -2*a*(a - 8)*(a + 4) Let n = 2986/6279 + 662/483. Find l, given that -4/13 - n*l**4 + 58/13*l**3 - 8/13*l**2 - 22/13*l = 0. -1/3, -1/4, 1, 2 Let k(s) be the first derivative of 5*s**4 - 595*s**3 + 1100*s**2 - 12283. Suppose k(w) = 0. Calculate w. 0, 5/4, 88 Suppose -5*v = -0*l + l - 13, v + 3*l = -3. Determine h, given that 14*h**v - 8*h**5 - 12*h**2 + 7*h**5 - h**5 = 0. -3, 0, 1, 2 Let j(i) be the first derivative of i**6/6 + 2*i**5/5 - 27*i**4/4 - 8*i**3/3 + 34*i**2 + 48*i - 2107. Determine g, given that j(g) = 0. -6, -1, 2, 4 Determine t, given that -105*t**5 - 602*t**2 + 187 + 301*t**5 - 562*t**2 - 84*t**4 - 416*t - 1076*t**3 - 235 = 0. -1, -2/7, 3 Factor -43*n**3 + 38*n**2 - 45*n**3 + 20*n - 45*n**3 - 37*n**3 + 188*n**3. 2*n*(n + 1)*(9*n + 10) Let u(m) be the first derivative of 25*m**3/3 - 6615*m**2/2 - 2650*m + 2119. Factor u(v). 5*(v - 265)*(5*v + 2) Let q(a) = -a**2 + 330*a + 9079. Let t(s) = s**2 - 1. Let c(l) = q(l) + 4*t(l). Solve c(z) = 0. -55 Let l(f) be the first derivative of f**5/20 + 53*f**4/16 - 9*f**3/2 - 333. Let l(r) = 0. What is r? -54, 0, 1 Let q = 6/226153 - -452264/1583071. Factor q*h**3 - 2/7*h - 4/7 + 4/7*h**2. 2*(h - 1)*(h + 1)*(h + 2)/7 Suppose 2*m + 10 = g, 8 = 21*g - 25*g. Let f be (9 + -17)/(-2 - 7/m). Factor f*o**3 - 12*o**2 - 3/5 + 24/5*o. 3*(2*o - 1)**2*(4*o - 1)/5 Let f(u) = u**2 - u. Let d = 36 + -42. Let t = d - -4. Let k(x) = x**2 + 38*x + 108. Let i(q) = t*f(q) - k(q). Find b, given that i(b) = 0. -6 Let f = 1/25982 + 103925/77946. Let -17/3*w**2 + 7/6*w**5 + 13/3*w**4 + f + 13/6*w**3 - 10/3*w = 0. Calculate w. -2, -1, 2/7, 1 Factor -52/3*x**3 - 1920*x**2 + 0 + 4/3*x**4 - 21168*x. 4*x*(x - 49)*(x + 18)**2/3 Suppose -3156*u = -575*u - 49887 - 368235. Determine m, given that 0 - 23*m**4 + u*m + 103/2*m**3 + 288*m**2 + 3/2*m**5 = 0. -2, -2/3, 0, 9 Let z(m) = -140*m**3 + 4632*m**2 - 1294*m - 14. Let a(n) = -28*n**3 + 928*n**2 - 259*n - 3. Let y(s) = -14*a(s) + 3*z(s). Factor y(v). -4*v*(v - 32)*(7*v - 2) Let h be ((-16)/6 - -3) + 0. Let w be (-6)/9 - (52/12 + -4) - -4. Factor h*q**4 - 1/3*q**w + 0*q + 0*q**2 + 0. q**3*(q - 1)/3 Let f(t) be the second derivative of -t**5/5 - 5*t**4/3 + 44*t**3/3 - 32*t**2 + 946*t - 1. Factor f(d). -4*(d - 2)*(d - 1)*(d + 8) Determine l, given that -144*l**2 - 116*l**2 - 196*l + 270*l + 173*l + 25*l**3 - 160 + 253*l = 0. 2/5, 2, 8 Factor -4/7 - 1183744/7*n**3 - 169728*n**2 - 4356/7*n. -4*(n + 1)*(544*n + 1)**2/7 Let n be (-336)/315 - 2162/(-705). Factor -4/7*r**4 + 20/7*r**3 + 0*r + 0 + 24/7*r**n. -4*r**2*(r - 6)*(r + 1)/7 Let s = -2166574/63 + 240760/7. What is b in 10/9*b - 2*b**3 + 0 + s*b**4 + 8/9*b**5 - 38/9*b**2 = 0? -5, -1, 0, 1/4, 1 Let f(a) = -5*a**3 + 14*a**2 - 44*a - 14. Let d(z) = 3*z**3 - 6*z**2 + 23*z + 8. Let l(m) = 7*d(m) + 4*f(m). Find n, given that l(n) = 0. -15, 0, 1 Suppose 84 - 143*m - 371/2*m**2 + 5/2*m**4 + 44*m**3 = 0. What is m? -21, -1, 2/5, 4 Let w = 86376 - 86374. Solve -2/3*c + 1/3*c**w - 5 = 0. -3, 5 Let f(v) be the first derivative of 5*v**4/4 - 2020*v**3/3 + 102010*v**2 + 1286. Factor f(i). 5*i*(i - 202)**2 Suppose 14*x - 1780 = -6*x. Factor -x*a**2 + 421*a + 3*a**4 + 137*a**2 - 3 + 21*a**3 + 3 - 385*a. 3*a*(a + 2)**2*(a + 3) Let h(z) = z**2 + 10*z + 8. Let x be h(-2). Let t be x/2*4/(-8). Factor -1 - 1/3*k**t - 4/3*k. -(k + 1)*(k + 3)/3 Let u(z) be the third derivative of -z**7/70 - 9*z**6/10 - 67*z**5/20 + 9*z**4/2 + 34*z**3 - 2354*z**2. Let u(h) = 0. Calculate h. -34, -2, -1, 1 Let u be ((-1521)/756 - -2)/((-20)/14). Let i(k) be the third derivative of 1/75*k**5 - 1/5*k**3 + 1/600*k**6 + 10*k**2 + 0 + 0*k + u*k**4. Factor i(h). (h - 1)*(h + 2)*(h + 3)/5 Suppose 52*d - 47*d = -z + 45, 10*d - 90 = 3*z. Factor -1/3*g**2 + 0 + z*g. -g**2/3 Let q(o) be the second derivative of 0 - 1/6*o**3 + 66*o + 0*o**2 - 7/120*o**5 - 23/72*o**4. Suppose q(h) = 0. What is h? -3, -2/7, 0 Let o(a) = -16*a**3 + 29*a**2 + 2*a + 56. Let k(v) = -33*v**3 + 59*v**2 + 5*v + 126. Let h(u) = 4*k(u) - 9*o(u). Let h(y) = 0. What is y? 0, 1/12, 2 Let u = 50 + -42. Suppose 2*w - u = -2*w. Factor 0*a**w + 31 + 5*a**2 - 51. 5*(a - 2)*(a + 2) Find g such that 2*g**3 + 24/11*g**2 - 130/11*g - 12/11 = 0. -3, -1/11, 2 Let c(t) = -4*t**2. Let p(x) = -x**2 - x + 31. Let v be p(5). Let y(w) = -15*w**2 + 280*w + 3920. Let g(o) = v*y(o) - 5*c(o). Factor g(z). 5*(z + 28)**2 Let l be 3/(-15) + (-31)/(-5). Suppose -m = l*m - 70. Let 10*x**2 + 8*x**5 + 8*x - 13*x**5 - 2*x**4 - m*x**3 + 7*x**5 - 8 = 0. What is x? -2, -1, 1, 2 Factor 17489*p + 610*p**4 - 606*p**4 + 4292*p**2 - 9*p**3 - 252*p**3 - 19*p**3 + 4415*p. 4*p*(p - 37)**2*(p + 4) Let u be (-1146)/(-45) - (-18 + (-4020)/(-225)). Factor -u - 2/5*h**2 - 32/5*h. -2*(h + 8)**2/5 Let k(g) be the first derivative of g**4/120 - g**3/20 - 57*g - 22. Let l(x) be the first derivative of k(x). Suppose l(z) = 0. What is z? 0, 3 Let s(q) = 13*q - 1. Let g be s(1). Suppose -174 = -60*v + 2*v. Factor 63*k**3 - 11*k - g*k**2 + 3*k**4 - 60*k**v - k. 3*k*(k - 2)*(k + 1)*(k + 2) Let y(h) be the second derivative of 71*h + 35/12*h**4 + 0 - 40*h**2 - 45*h**3. Determine g so that y(g) = 0. -2/7, 8 Let t(z) = 3*z + 2. Let w be t(0). Suppose -18 = -3*x + w*c, -14 + 6 = x + 4*c. Factor 46*j**3 - 94*j**3 + 12*j**2 + 48*j**3 - 8*j - x*j**4. -4*j*(j - 1)**2*(j + 2) Let f(d) = -d**4 - d**3 - 3*d**2. Let x(t) = -5*t**4 - 475*t**3 + 9495*t**2 + 62965*t - 72030. Let c(u) = 10*f(u) - x(u). Let c(m) = 0. What is m? -6, 1, 49 Let p(o) = -o**2 - 45*o - 32. Let q(g) = g**2 + 90*g + 62. Let y be (1 - (1 + -2))*(4 - 2). Let a(f) = y*q(f) + 9*p(f). Factor a(u). -5*(u + 1)*(u + 8) Let i(z) be the first derivative of 184*z**6/21 - 1228*z**5/35 + 30*z**4 + 580*z**3/21 - 304*z**2/7 + 48*z/7 - 5833. Find r such that i(r) = 0. -3/4, 2/23, 1, 2 Suppose -44*w - 8484 = -16*w. Let k = w - -308. Suppose -4/5*i**3 + 0*i**2 + 1/5*i**k + 0*i + 0 + 0*i**4 = 0. What is i? -2, 0, 2 Suppose x = a + 54, 5*x + a - 143 = 139. Factor -x*f**3 + 4*f**3 + 8*f - 28*f**4 + 20*f + 20*f + 32*f**2. -4*f*(f - 1)*(f + 2)*(7*f + 6) Suppose -m = -32 - 241. Suppose 4*f + 3 = 5*z, m*z = 4*f + 278*z - 27. Determine h, given that -35/2*h**4 - 55/2*h**f - 25/2*h**2 - 5/2*h**5 + 0 + 0*h = 0. -5, -1, 0 Let k(o) be the second derivative of o**7/315 - 4*o**6/45 + 77*o**5/150 + 121*o**4/45 + 745*o. Suppose k(r) = 0. Calculate r. -2, 0, 11 Let o(q) = -q**4 + q**3 - 7*q**2 - q + 2. Let y(k) = -7*k**4 - 108*k**3 - 3403*k**2 - 6390*k - 3124. Let a(l) = 6*o(l) - y(l). Find m, given that a(m) = 0. -56, -1 Suppose 2*l - u + 0 - 14 = 0, -3*u + 24 = 5*l. Let o be 33/l - 2/(-4). Factor 57*v**3 - 48*v**3 - o*v**4 + 9*v**4 + 6*v**2. 3*v**2*(v + 1)*(v + 2) Suppose 0 = 5*q - 2*u - 133, -12*u = -8*u + 16. Let x(d) be the first derivative of q + 40*d + 25/3*d**3 + 55*d**2. Factor x(j). 5*(j + 4)*(5*j + 2) Let s(i) be the first derivative of -4*i**3/15 + 268*i**2/5 - 416*i + 496. Factor s(f). -4*(f - 130)*(f - 4)/5 Let x(y) = y**2 - 5*y - 8. Let f = -224 + 220. Let n(r) = -6*r**2 + 25*r + 41. Let h(k) = f*n(k) - 22*x(k). Solve h(v) = 0 for v. -3, -2 Suppose 2231*b + 1 + 2 = -0 + 3. Solve 6*y + b - 1/2*y**5 + 2*y**2 - 9/2*y**3 - 3*y**4 = 0. -3, -2, 0, 1 Let l be (-18)/(-10)*(-7410)/(-684). Let -9/2*i**3 + l*i - 9 - 6*i**2 = 0. Calculate i. -3, 2/3, 1 Let h = 438 + -406. Let a be (3 + -5 + (-68)/h)*-2. Find m such that -a*m**2 - 9*m + 21/4*m**4 + 9*m**3 + 3 = 0. -2, -1, 2/7, 1 Factor 4/7*s**3 - 66/7*s + 4 + 18/7*s**2. 2*(s - 2)*(s + 7)*(2*s - 1)/7 Let
{ "pile_set_name": "DM Mathematics" }
052 -13322 (base 4) to base 2 -111111010 Convert 43020 (base 5) to base 6. 21205 What is -1112101 (base 3) in base 2? -10001011101 What is -6682 (base 9) in base 5? -124214 Convert -2013 (base 6) to base 12. -309 Convert -37b (base 13) to base 3. -211120 Convert 46 (base 7) to base 13. 28 What is b46 (base 15) in base 5? 40131 What is -1001000000 (base 2) in base 10? -576 What is 2766 (base 9) in base 13? c45 Convert -2adb (base 15) to base 7. -35561 234 (base 9) to base 3 21011 What is -32065 (base 8) in base 16? -3435 What is 1222001 (base 3) in base 2? 10110011000 -273f (base 16) to base 15 -2e9c Convert 122243 (base 6) to base 2. 10101010010011 165 (base 7) to base 15 66 Convert -4517 (base 13) to base 15. -2cd8 What is 653 (base 15) in base 7? 4110 Convert -3021023 (base 4) to base 12. -754b 1003323 (base 4) to base 7 15450 Convert -15073 (base 10) to base 4. -3223201 What is 5432 (base 9) in base 16? f9e -215631 (base 7) to base 16 -949e What is -11462 (base 7) in base 2? -101110101000 Convert -10020 (base 4) to base 16. -108 -310 (base 5) to base 10 -80 What is 3450 (base 6) in base 9? 1113 What is -31322 (base 5) in base 14? -a91 Convert 23e3 (base 16) to base 10. 9187 2856 (base 10) to base 16 b28 Convert -d (base 16) to base 5. -23 What is 10201 (base 6) in base 3? 1212201 12012021 (base 3) to base 12 2237 Convert -436 (base 9) to base 10. -357 What is -721 (base 12) in base 13? -616 What is 242 (base 9) in base 8? 310 33c1 (base 16) to base 11 9a55 Convert -21010 (base 3) to base 2. -11000000 What is -12 (base 12) in base 16? -e What is 2111202 (base 3) in base 12? 1085 -673 (base 9) to base 10 -552 -1d8 (base 15) to base 3 -120212 What is 291a (base 16) in base 15? 31b7 210000200 (base 3) to base 8 35737 Convert -15780 (base 10) to base 6. -201020 Convert 144504 (base 6) to base 16. 36b8 Convert -10113 (base 6) to base 15. -5e6 What is -482 (base 10) in base 13? -2b1 What is 122202 (base 3) in base 7? 1253 What is 22113 (base 4) in base 7? 1635 What is -1430042 (base 5) in base 12? -1545a What is 1007 (base 9) in base 11? 60a 212 (base 8) to base 5 1023 1010000 (base 2) to base 3 2222 What is 10041 (base 5) in base 15? 2d1 Convert 682 (base 10) to base 12. 48a -271 (base 11) to base 2 -101000000 43e (base 16) to base 3 1111020 What is -11010000000 (base 2) in base 4? -122000 -33bb (base 13) to base 6 -53324 -4963 (base 11) to base 3 -22220002 1220130 (base 6) to base 9 107860 Convert -111110001001011 (base 2) to base 6. -403151 Convert 558 (base 14) to base 4. 100202 Convert 111001101011111 (base 2) to base 10. 29535 920 (base 10) to base 11 767 Convert 20324 (base 5) to base 15. 5e4 1222121 (base 4) to base 13 313a Convert 1070 (base 9) to base 12. 560 What is -16 (base 11) in base 5? -32 What is -243341 (base 5) in base 4? -2100011 Convert 326 (base 16) to base 2. 1100100110 What is 2a2a (base 16) in base 4? 2220222 What is 1a2 (base 13) in base 5? 2201 Convert 124 (base 11) to base 4. 2103 What is -86b (base 12) in base 11? -a23 347 (base 10) to base 6 1335 -24880 (base 10) to base 9 -37114 Convert -738 (base 9) to base 4. -21122 What is 13185 (base 10) in base 5? 410220 Convert -11340 (base 5) to base 3. -1011022 5584 (base 11) to base 15 22a2 What is -2068 (base 12) in base 14? -1408 What is -214613 (base 7) in base 9? -56628 What is 101110111110001 (base 2) in base 9? 35881 What is -a4 (base 11) in base 6? -310 What is -121101 (base 3) in base 11? -372 What is 1024424 (base 5) in base 2? 100010001010001 Convert -111101100 (base 2) to base 16. -1ec -868 (base 10) to base 12 -604 5872 (base 14) to base 12 8aa4 -110100 (base 3) to base 2 -101001101 What is -213421 (base 5) in base 9? -11078 Convert -dae9 (base 15) to base 16. -b508 What is -2221 (base 5) in base 2? -100110111 Convert 2410 (base 7) to base 2. 1101111001 Convert 19 (base 13) to base 7. 31 -440a (base 11) to base 16 -16ba 421 (base 9) to base 5 2333 608a (base 12) to base 4 2203222 Convert -4243 (base 8) to base 12. -1343 Convert -9e (base 15) to base 7. -302 a127 (base 11) to base 8 32224 Convert -211341 (base 5) to base 6. -52504 Convert 32231 (base 4) to base 7. 2513 Convert 3434 (base 8) to base 14. 940 What is 221111210 (base 3) in base 15? 579c -1101 (base 2) to base 16 -d -425 (base 6) to base 15 -ab -102010 (base 3) to base 7 -606 What is 6062 (base 9) in base 3? 20002002 -303 (base 7) to base 13 -b7 1b956 (base 12) to base 15 c2a6 5c1 (base 15) to base 16 51a Convert -712 (base 9) to base 3. -210102 -100320 (base 4) to base 11 -8a2 Convert -907 (base 14) to base 5. -24041 What is -290 (base 12) in base 9? -480 -5273 (base 10) to base 13 -2528 -3026 (base 7) to base 11 -874 -778 (base 14) to base 8 -2706 Convert -2662 (base 15) to base 4. -2000000 Convert 42402 (base 5) to base 13. 13b5 1102012 (base 3) to base 4 100013 -782 (base 14) to base 2 -10111001110 -15004 (base 7) to base 2 -1000000011000 What is 3850 (base 13) in base 3? 101222121 2014312 (base 5) to base 7 163425 Convert 211 (base 10) to base 2. 11010011 Convert -215604 (base 8) to base 16. -11b84 -3134 (base 8) to base 15 -738 Convert 156203 (base 7) to base 12. 15b0b What is -233 (base 13) in base 14? -1d2 -1402342 (base 5) to base 16 -6f38 -21022 (base 3) to base 6 -525 Convert -544 (base 13) to base 8. -1605 What is -3422 (base 8) in base 10? -1810 What is 10000101011 (base 2) in base 8? 2053 Convert -31444 (base 6) to base 12. -2584 Convert 5071 (base 10) to base 15. 1781 -668 (base 9) to base 12 -398 What is 6a (base 13) in base 11? 80 Convert 256 (base 12) to base 3. 111010 Convert -120221 (base 3) to base 14. -22a What is -20162 (base 7) in base 14? -1ad9 -113313 (base 4) to base 8 -2767 What is -55 (base 8) in base 4? -231 Convert -12110 (base 9) to base 16. -1fad What is -14d (base 16) in base 3? -110100 What is -451352 (base 6) in base 4? -21100310 Convert -1202302 (base 5) to base 13. -a14b Convert -10120111110 (base 3) to base 15. -15c9c What is 1024 (base 12) in base 11? 1357 Convert -1011000001010 (base 2) to base 12. -3322 Convert 1100 (base 4) to base 5. 310 What is -113506 (base 7) in base 6? -234504 Convert -2c1a (base 16) to base 9. -16434 What is -56328 (base 10) in base 5? -3300303 -2531 (base 7) to base 3 -1022022 Convert 29c (base 15) to base 4. 21111 1451 (base 14) to base 15 10ee What is -112222102 (base 3) in base 15? -337e Convert 12101 (base 3) to base 14. a5 What is -154 (base 14) in base 9? -330 -11c0 (base 14) to base 3 -11021010 Convert 46321 (base 8) to base 16. 4cd1 Convert 1011101010010 (base 2) to base 4. 1131102 -1079 (base 14) to base 15 -ca1 -283 (base 15) to base 13 -351 Convert 11125 (base 6) to base 2. 11000011101 Convert 2aa8 (base 15) to base 7. 35462 What is 1b1 (base 13) in base 5? 2223 What is -5341 (base 6) in base 12? -851 167 (base 12) to base 13 142 -320 (base 14) to base 16 -268 Convert -2a0a (base 13) to base 7. -23524 -268 (base 9) to base 15 -ee -1100000011 (base 2) to base 15 -366 What is -1042 (base 9) in base 4? -23333 Convert -e04 (base 16) to base 8. -7004 Convert 1027 (base 12) to base 9. 2364 -3b5 (base 12) to base 16 -239 -101402 (base 5) to base 10 -3352 Convert 10010001 (base 3) to base 13. 1057 Convert 3323 (base 11) to base 14. 184d 1a (base 12) to base 2 10110 -3280 (base 10) to base 12 -1a94 -6678 (base 10) to base 15 -1ea3 What is -3019 (base 12) in base 4? -1101111 What is 1bb4 (base 14) in base 16? 13c2 What is 1648 (base 11) in base 16? 83d What is 101101000100 (base 2) in base 11? 2192 3b2d (base 16) to base 9 22702 Convert 55425 (base 6) to base 15. 244b What is -7881 (base 9) in base 7? -22660 -4140 (base 11) to base 8 -12561 Convert 5098 (base 16) to base 2. 101000010011000 8d (base 14) to base 7 236 -10134 (base 6) to base 5 -20404 1312203 (base 4) to base 15 23ac 115323 (base 6) to base 14 3a5d Convert -7d (base 16) to base 9. -148 Convert 2110 (base 4) to base 11. 125 Convert b3b (base 16) to base 11. 2184 -11221 (base 5) to base 4 -30223 -202212 (base 3) to base 7 -1433 4132 (base 12) to base 14 282a Convert -189b (base 15) to base 3. -21022002 What is 1658 (base 9) in base 13? 767 -2ce (base 16) to base 7 -2044 Convert -403 (base 10) to base 4. -12103 Convert 7862 (base 9) to base 7. 22634 Convert 410540 (base
{ "pile_set_name": "DM Mathematics" }
What is prob of sequence hp? 1/18 Two letters picked without replacement from dqdqzsddqqzdd. Give prob of sequence ds. 1/26 Three letters picked without replacement from hnhhhhhnnmmnh. What is prob of sequence nhm? 14/429 Four letters picked without replacement from obiouiouiinouuuooii. What is prob of sequence buno? 5/15504 Calculate prob of sequence uir when three letters picked without replacement from gigurrrerrgegrgu. 1/280 Calculate prob of sequence ii when two letters picked without replacement from {i: 5, q: 1, e: 2, z: 8}. 1/12 What is prob of sequence ei when two letters picked without replacement from {i: 1, n: 1, e: 2, o: 1}? 1/10 Four letters picked without replacement from ijidiinn. Give prob of sequence inji. 1/70 Calculate prob of sequence eeo when three letters picked without replacement from {e: 3, o: 6, b: 3, q: 5}. 3/340 Calculate prob of sequence rr when two letters picked without replacement from rrrwhrhrxrrrrhr. 3/7 Calculate prob of sequence ub when two letters picked without replacement from ubb. 1/3 Two letters picked without replacement from xdxxdxxxxkxxxdxxx. What is prob of sequence dd? 3/136 Two letters picked without replacement from {r: 1, x: 3, z: 1, f: 1, p: 11, l: 3}. What is prob of sequence fp? 11/380 Three letters picked without replacement from {f: 1, m: 1, e: 1}. What is prob of sequence mef? 1/6 What is prob of sequence cf when two letters picked without replacement from {q: 5, c: 2, m: 3, i: 6, f: 1}? 1/136 Three letters picked without replacement from cclelcplllceccecelll. What is prob of sequence elp? 4/855 Four letters picked without replacement from skyjkrkkrrkkk. What is prob of sequence jrsr? 1/2860 What is prob of sequence nhy when three letters picked without replacement from {h: 1, k: 1, y: 2, j: 1, n: 2, b: 1}? 1/84 Calculate prob of sequence jjs when three letters picked without replacement from sjsssjsjsjssssssss. 7/204 Four letters picked without replacement from {y: 7}. What is prob of sequence yyyy? 1 Calculate prob of sequence gp when two letters picked without replacement from gwwgvgwgggpguuukwuv. 7/342 Calculate prob of sequence mfmf when four letters picked without replacement from {f: 3, u: 1, i: 2, h: 4, m: 2}. 1/990 What is prob of sequence qqy when three letters picked without replacement from yyqypqyqqypqqqqnynn? 56/969 Two letters picked without replacement from {z: 1, a: 1, g: 2, e: 1, m: 4}. Give prob of sequence zg. 1/36 Calculate prob of sequence his when three letters picked without replacement from {e: 3, s: 3, h: 3, i: 1}. 1/80 Calculate prob of sequence hx when two letters picked without replacement from fxnhfunurhxh. 1/22 Four letters picked without replacement from {t: 3, l: 3, s: 11, b: 3}. Give prob of sequence bssb. 11/1938 Four letters picked without replacement from {o: 5, c: 2, j: 5, u: 3}. What is prob of sequence ouoo? 1/182 What is prob of sequence gg when two letters picked without replacement from {x: 8, g: 3}? 3/55 Four letters picked without replacement from {c: 2, t: 1, s: 6, m: 8, p: 1, q: 2}. What is prob of sequence tcmc? 2/14535 Three letters picked without replacement from yzyyxxxxyzyyyyxyxx. Give prob of sequence yzx. 7/272 What is prob of sequence ggcc when four letters picked without replacement from ggcggcgjjggg? 14/1485 Two letters picked without replacement from lqwlqt. What is prob of sequence tw? 1/30 Two letters picked without replacement from woiwziziwwwiciw. What is prob of sequence ow? 1/35 What is prob of sequence bz when two letters picked without replacement from {e: 1, b: 1, g: 1, z: 1, d: 1}? 1/20 Calculate prob of sequence rrar when four letters picked without replacement from aaarrrr. 3/35 Two letters picked without replacement from mgllglcmgmcgmgl. Give prob of sequence lg. 2/21 What is prob of sequence xiqk when four letters picked without replacement from xqixkii? 1/140 Calculate prob of sequence yyyw when four letters picked without replacement from wtywtwttwyyttty. 4/1365 What is prob of sequence wwww when four letters picked without replacement from {w: 5}? 1 Two letters picked without replacement from aappacpc. Give prob of sequence cc. 1/28 Two letters picked without replacement from lrttlitt. Give prob of sequence rt. 1/14 Calculate prob of sequence bbbb when four letters picked without replacement from {b: 5, o: 8}. 1/143 Four letters picked without replacement from kkkk. Give prob of sequence kkkk. 1 Calculate prob of sequence qlq when three letters picked without replacement from lblbllqlbqqlu. 3/143 Calculate prob of sequence hgg when three letters picked without replacement from {a: 1, j: 1, h: 1, g: 2, u: 1, r: 2}. 1/168 Four letters picked without replacement from {i: 6, f: 4}. Give prob of sequence ffii. 1/14 Calculate prob of sequence pykk when four letters picked without replacement from {k: 1, h: 2, p: 2, y: 1}. 0 Two letters picked without replacement from {k: 1, j: 9, y: 2, c: 4}. What is prob of sequence cy? 1/30 Three letters picked without replacement from lylzwzd. What is prob of sequence zdl? 2/105 Three letters picked without replacement from {i: 11, d: 1}. What is prob of sequence dii? 1/12 Four letters picked without replacement from {p: 2, c: 2, f: 8, s: 1, u: 5}. What is prob of sequence pfcp? 1/2295 Two letters picked without replacement from tdtdtdddddddddd. What is prob of sequence tt? 1/35 Four letters picked without replacement from pcvcqoccqqscqpc. Give prob of sequence qsqc. 1/455 Three letters picked without replacement from {g: 1, h: 2, j: 10, e: 1}. Give prob of sequence gje. 5/1092 Three letters picked without replacement from tunnutntqu. What is prob of sequence ttu? 1/40 What is prob of sequence yhz when three letters picked without replacement from xzezhzhyzhhhh? 2/143 What is prob of sequence yy when two letters picked without replacement from aauyyayy? 3/14 Calculate prob of sequence zr when two letters picked without replacement from zrzrzzzzzzrzzzzzzz. 5/34 Calculate prob of sequence fiff when four letters picked without replacement from ifnafianffn. 1/165 Four letters picked without replacement from qzfzqzzqzzfzmzmzm. What is prob of sequence fmfq? 3/9520 Two letters picked without replacement from {e: 5, z: 3, k: 1}. Give prob of sequence ek. 5/72 Four letters picked without replacement from iuiishiaiiuaiiuua. Give prob of sequence suau. 3/4760 Two letters picked without replacement from ffggf. What is prob of sequence fg? 3/10 What is prob of sequence xhpb when four letters picked without replacement from {h: 2, x: 3, p: 6, b: 4}? 2/455 Four letters picked without replacement from vgtbi. What is prob of sequence tbii? 0 Two letters picked without replacement from {b: 1, l: 2, g: 1, i: 2, t: 2}. Give prob of sequence it. 1/14 Calculate prob of sequence ngnn when four letters picked without replacement from {g: 8, n: 3}. 1/165 What is prob of sequence oll when three letters picked without replacement from {o: 1, l: 2, y: 2, v: 1}? 1/60 Four letters picked without replacement from xnnhhxhxnxxxxznnz. What is prob of sequence xzxx? 1/136 Three letters picked without replacement from {r: 11, s: 3}. Give prob of sequence srr. 55/364 Three letters picked without replacement from bbstsbbtsss. Give prob of sequence bbs. 2/33 Three letters picked without replacement from ffraagffcfarrfarffaf. What is prob of sequence fgf? 1/95 Calculate prob of sequence oy when two letters picked without replacement from kkyyoyyoyyyoo. 7/39 Calculate prob of sequence llv when three letters picked without replacement from lvlvvfvvl. 5/84 Two letters picked without replacement from {u: 12, q: 6}. What is prob of sequence uu? 22/51 What is prob of sequence xpea when four letters picked without replacement from paxepeppppap? 7/2970 Calculate prob of sequence xxx when three letters picked without replacement from xxxxx. 1 Three letters picked without replacement from yvvsvysvyevnnns. What is prob of sequence vey? 1/182 Two letters picked without replacement from {m: 4, o: 1, c: 4, q: 6, b: 1}. What is prob of sequence qc? 1/10 Calculate prob of sequence jj when two letters picked without replacement from jjj. 1 Two letters picked without replacement from {x: 2, s: 11}. Give prob of sequence xs. 11/78 What
{ "pile_set_name": "DM Mathematics" }
prob of sequence cs when two letters picked without replacement from {p: 1, j: 4, s: 2, a: 1, c: 3, t: 1}? 1/22 Calculate prob of sequence vhvv when four letters picked without replacement from hvwwvwwwhwvvwvvwh. 3/476 Calculate prob of sequence ug when two letters picked without replacement from {g: 5, e: 5, u: 3, m: 2, w: 3}. 5/102 Three letters picked without replacement from trvmvrvmmmtrrrttrmm. Give prob of sequence mvt. 4/323 What is prob of sequence tttt when four letters picked without replacement from tttttttttt? 1 Two letters picked without replacement from osc. What is prob of sequence sc? 1/6 What is prob of sequence zb when two letters picked without replacement from zxuxbfufufup? 1/132 Three letters picked without replacement from {c: 5, m: 3}. What is prob of sequence mmm? 1/56 Calculate prob of sequence rf when two letters picked without replacement from {f: 11, r: 5}. 11/48 Four letters picked without replacement from ffff. What is prob of sequence ffff? 1 Calculate prob of sequence zfzf when four letters picked without replacement from {z: 11, f: 2}. 1/78 Calculate prob of sequence gg when two letters picked without replacement from ggggggggg. 1 What is prob of sequence xx when two letters picked without replacement from {h: 7, x: 12}? 22/57 Calculate prob of sequence cqp when three letters picked without replacement from qlhlcqphvllcl. 1/429 Calculate prob of sequence eeze when four letters picked without replacement from {z: 2, e: 6}. 1/7 Three letters picked without replacement from {d: 3, p: 9, m: 7}. Give prob of sequence ddm. 7/969 What is prob of sequence vvrr when four letters picked without replacement from {v: 6, g: 4, o: 2, q: 3, r: 2}? 1/952 What is prob of sequence qbbz when four letters picked without replacement from zbnnznznnbqnnynnqnq? 1/5168 Four letters picked without replacement from zpaqzxqqxpaaxpxx. Give prob of sequence xaxa. 1/364 Two letters picked without replacement from {k: 1, v: 2, p: 2}. What is prob of sequence pp? 1/10 Four letters picked without replacement from kkpkkpkkppk. Give prob of sequence kppk. 7/110 Calculate prob of sequence rrr when three letters picked without replacement from rraaraeareereeererra. 14/285 What is prob of sequence ahah when four letters picked without replacement from {h: 2, a: 2, p: 5}? 1/756 Calculate prob of sequence bbcc when four letters picked without replacement from {r: 2, b: 3, c: 5, h: 5, y: 3}. 1/612 Three letters picked without replacement from qqlqqqqqqqqqqqqqqqqq. What is prob of sequence qlq? 1/20 Four letters picked without replacement from vxoxxoovcb. What is prob of sequence vxvo? 1/280 Calculate prob of sequence iii when three letters picked without replacement from {a: 6, i: 3, p: 1, m: 2, b: 3}. 1/455 Three letters picked without replacement from uauuuuuunuuauau. What is prob of sequence aua? 11/455 Two letters picked without replacement from yhyyyyyy. Give prob of sequence yy. 3/4 What is prob of sequence xxo when three letters picked without replacement from {y: 2, o: 8, m: 2, x: 4}? 1/35 What is prob of sequence xhyx when four letters picked without replacement from xgyghxxxgx? 1/252 Four letters picked without replacement from nngnngnnnnnnrnnng. What is prob of sequence gnnr? 39/4760 Calculate prob of sequence fav when three letters picked without replacement from {h: 1, f: 2, u: 1, a: 2, v: 1}. 2/105 What is prob of sequence tete when four letters picked without replacement from tteeeeeetetteeeeeeee? 35/969 Four letters picked without replacement from rxdxrdrdrrdrr. Give prob of sequence drdd. 7/715 Three letters picked without replacement from {m: 2, j: 11}. Give prob of sequence jjm. 5/39 Two letters picked without replacement from kkauqkqck. Give prob of sequence ck. 1/18 Four letters picked without replacement from {u: 4, h: 6}. Give prob of sequence uhuh. 1/14 Four letters picked without replacement from xvpaxxax. What is prob of sequence xava? 1/210 Three letters picked without replacement from {g: 1, h: 1, e: 1, r: 1, f: 1, a: 2}. What is prob of sequence gfe? 1/210 Three letters picked without replacement from fyiiyyffyyiifi. What is prob of sequence fyy? 10/273 Two letters picked without replacement from seaiie. Give prob of sequence ee. 1/15 What is prob of sequence lele when four letters picked without replacement from {l: 9, e: 7}? 9/130 What is prob of sequence gb when two letters picked without replacement from {m: 1, q: 1, b: 2, g: 1}? 1/10 Four letters picked without replacement from xfffffxwxxxfwxfx. What is prob of sequence wxwf? 7/3120 Calculate prob of sequence ncrx when four letters picked without replacement from {x: 4, v: 3, n: 1, r: 3, c: 8}. 1/969 Two letters picked without replacement from {u: 2, o: 1, v: 1, j: 1, x: 1, p: 1}. What is prob of sequence xj? 1/42 Three letters picked without replacement from {x: 3, g: 15}. Give prob of sequence xxg. 5/272 What is prob of sequence pze when three letters picked without replacement from cbepzcp? 1/105 Calculate prob of sequence uenu when four letters picked without replacement from ueenueuunu. 1/42 What is prob of sequence swws when four letters picked without replacement from {w: 5, s: 8, a: 7}? 28/2907 Three letters picked without replacement from tfffqtbqf. What is prob of sequence qbt? 1/126 What is prob of sequence wwtt when four letters picked without replacement from {g: 2, n: 3, w: 2, t: 2, f: 4}? 1/4290 Four letters picked without replacement from {u: 4, y: 15}. What is prob of sequence uuuu? 1/3876 Calculate prob of sequence vk when two letters picked without replacement from {k: 1, t: 1, v: 1}. 1/6 Calculate prob of sequence mblh when four letters picked without replacement from {q: 3, l: 2, m: 3, h: 3, b: 1, i: 2}. 3/4004 Calculate prob of sequence nnn when three letters picked without replacement from {n: 1, t: 1, z: 1, b: 2, e: 1, c: 2}. 0 Calculate prob of sequence pp when two letters picked without replacement from ppmmmpmppk. 2/9 Four letters picked without replacement from bxxxxzzbxxhhhhzbxxxh. What is prob of sequence xhhb? 3/646 Calculate prob of sequence ss when two letters picked without replacement from ssassssssssssss. 13/15 Four letters picked without replacement from {l: 5, b: 6, h: 4, r: 4}. What is prob of sequence hlbl? 5/969 Two letters picked without replacement from ybbbsobsssysfbosbob. What is prob of sequence bb? 7/57 What is prob of sequence xhxh when four letters picked without replacement from hhhhhxvhvvxhhhxhhhhx? 26/1615 Two letters picked without replacement from kukkkukkkkkkkkkkkkk. Give prob of sequence kk. 136/171 What is prob of sequence qhh when three letters picked without replacement from {q: 4, h: 10}? 15/91 Four letters picked without replacement from {j: 5, r: 1, q: 4, e: 1}. Give prob of sequence jqeq. 1/132 Two letters picked without replacement from {t: 2, w: 2, x: 1, h: 4}. What is prob of sequence tt? 1/36 Calculate prob of sequence uw when two letters picked without replacement from wzzzwwpzuzvkukzzw. 1/34 Three letters picked without replacement from {w: 4, o: 3}. Give prob of sequence wow. 6/35 Two letters picked without replacement from xlxpxilxs. Give prob of sequence si. 1/72 Calculate prob of sequence bbtb when four letters picked without replacement from {t: 2, b: 5}. 1/7 Calculate prob of sequence tga when three letters picked without replacement from {g: 4, a: 2, t: 6}. 2/55 Three letters picked without replacement from ctkiicccibkpkii. What is prob of sequence iik? 2/91 Four letters picked without replacement from {e: 3, h: 1, z: 2, v: 1}. Give prob of sequence zevh. 1/140 What is prob of sequence tj when two letters picked without replacement from ttjejjvjjeuj? 1/11 Calculate prob of sequence vzb when three letters picked without replacement from bzzzbbvbvzzvzv. 4/91 Calculate prob of sequence hrh when three letters picked without replacement from rhhrhhrrhh. 1/6 What is prob of sequence ox when two letters picked without replacement from tmehhxmhoohteh? 1/91 Two letters picked without replacement from kkzzkkz. What is prob of sequence kz? 2/7 Calculate prob of sequence ani when three letters picked without replacement from {d: 1, n: 3, i: 1, w: 6, a: 1, g: 1}. 1/572 Two letters picked without replac
{ "pile_set_name": "DM Mathematics" }
2 - 14*z - 21. Let i be q(-5). Calculate the highest common factor of 42 and i. 6 Suppose -q + 5*q - 32 = 0. Let s(c) = c**3 + 8*c**2 + 8. Let n be s(-8). Calculate the greatest common divisor of q and n. 8 Let a = -1 - -10. Let m(h) = -2*h**3 - 2. Let d be m(-5). Let s = d - 149. Calculate the highest common factor of s and a. 9 Suppose 4*i - 24 = 13*g - 14*g, 5*i - 195 = -5*g. Calculate the highest common divisor of 1364 and g. 44 Let d(z) = -2*z**3 + 9*z + 6. Let y be d(-3). Let c = 28 - 17. Calculate the greatest common factor of c and y. 11 Let m = 6 - 2. Suppose t + m*t = v + 18, -4*v - 3*t = -20. Let n be 7/((-14)/(-20)) + v. What is the greatest common factor of 12 and n? 12 Let w(z) be the third derivative of 3*z**4/8 - z**3/2 - 8*z**2. Let t be w(2). Suppose -2*q = -t + 5. Calculate the highest common divisor of 1 and q. 1 Suppose j + j = 26. Suppose 0*m = -2*m + 4. Suppose 4*c - 242 = -2*d, -244 = -m*d - 4*c - c. What is the greatest common divisor of d and j? 13 Suppose 5*g - 4*q = 132, -g + 2*q - 10 + 40 = 0. Calculate the highest common factor of g and 108. 12 Let y be (1/(-1) - -2)*3. Let m be y/7 - (-235)/7. Let h = m + -23. What is the greatest common divisor of 77 and h? 11 Let l be (5/2)/(1/(-24)). Let g = l - -104. What is the greatest common factor of 22 and g? 22 Let w be (-18)/((-314)/62 + -14 + 19). What is the highest common factor of 62 and w? 31 Suppose 0 = 3*y + y - 48. Suppose -8*z + y*z - 156 = 0. Let t be 2/(-6) + 481/z. Calculate the highest common factor of t and 8. 4 Let d = -54 + 306. Calculate the greatest common factor of d and 924. 84 Suppose 5*h = -5*x + 120, -3*h - x + 5*x = -86. Suppose h*o - 28 = 22*o. What is the highest common factor of o and 28? 7 Suppose -20*d - 3648 = -68*d. What is the greatest common divisor of 38 and d? 38 Suppose 19*g + 3*y = 15*g + 75, 4*y = 4. Calculate the greatest common factor of 3420 and g. 18 Let r be (0 - -3)/3*-23. Let c = r + 43. Let l(k) = 32*k. Let t be l(5). Calculate the greatest common factor of t and c. 20 Suppose -2*z + 2*y = -4*z + 142, -3*z - 4*y = -216. What is the greatest common divisor of 12 and z? 4 Suppose 0 = 2*x - n - 267 - 214, -2*x = 4*n - 456. Calculate the greatest common factor of 70 and x. 14 Let c be (0 - 6)/(2/(-5)) + -1. Suppose 122 - c = o. Calculate the highest common divisor of o and 27. 27 Suppose 939 = -0*b + b + 4*g, 2*b = 5*g + 1839. Calculate the greatest common factor of b and 9. 9 Let r = -27 + 203. Calculate the highest common factor of r and 99. 11 Let m(d) = d**2 + 3*d - 9. Let v be m(3). Calculate the greatest common factor of v and 297. 9 Let y be (54/36)/(2/(-4)). Let b(c) = -3*c + 7. Let v be b(y). Let l(o) = 5*o**2. Let r be l(4). Calculate the greatest common factor of r and v. 16 Let h(j) = j**3 - 11*j**2 - 9*j - 27. Let z be h(12). Let p(i) = -i**3 + 8*i**2 - 14*i + 13. Let k be p(6). Calculate the highest common divisor of z and k. 1 Let r = 3 + 4. Suppose -r*a + 4*a + 105 = 0. Let m be (-2)/((-12)/14)*3. What is the highest common divisor of m and a? 7 Let k = 241 - 226. What is the highest common factor of 75 and k? 15 Suppose 0 = -106*z + 10555 - 2923. Suppose 0*o = o - 24. What is the greatest common divisor of z and o? 24 Suppose -5*m + 5*p + 584 = -326, 5*m - p - 930 = 0. What is the greatest common divisor of 33 and m? 11 Let j = -86 - -89. Let r be 6/45*j - 96/(-10). What is the greatest common divisor of r and 4? 2 Suppose -i + 4*h = 6*h - 125, 4*i = -h + 528. Let q = 81 + -83. Let d be q/((-240)/114 - -2). Calculate the greatest common factor of d and i. 19 Suppose 0 = 3*d - 2*d - 16. Let b = d - 12. Suppose 0 = -2*z + 20 + 4. What is the greatest common divisor of b and z? 4 Let g = -2415 + 2478. Suppose 3*w - 5 = -2*m, -4*m = 5*w - 18 + 5. Let k = m - 0. Calculate the highest common factor of k and g. 7 Let n be (36/(-15))/((-1)/(60/(-9))). Let d be -7*(n + (-12)/(-4)). Calculate the greatest common divisor of 13 and d. 13 Suppose 2*w + 757 + 123 = 4*o, -w = 5*o - 1107. What is the highest common divisor of 17 and o? 17 Let r be 3*68/(-12) + 4. Let n = r - -40. What is the greatest common divisor of n and 189? 27 Suppose 3*h = o - 20, -2*o - 3*o - 2*h + 66 = 0. What is the greatest common divisor of 301 and o? 7 Let f = -1577 + 1787. Calculate the highest common divisor of f and 270. 30 Let k be ((-8)/(-10))/((-12)/30). Let b be k*(-7)/(28/66). What is the highest common divisor of 22 and b? 11 Let m = 15 + -12. Suppose -o + 28 = m*o. What is the highest common factor of 7 and o? 7 Suppose -3*f = 3, 2*r + f - 17 = 4*f. Suppose 2*l = r*l - 110. Let w = 538 + -296. What is the highest common factor of w and l? 22 Let k = 23 + -24. Let d be ((-15)/3)/(k/1). Calculate the highest common divisor of 5 and d. 5 Let p be 14/(-2) - (-389 - 98). What is the highest common factor of 45 and p? 15 Let a = -39 + 85. Let o = -4 + a. Calculate the greatest common divisor of 28 and o. 14 Suppose -16*v + 6395 + 2325 = 0. What is the highest common divisor of 327 and v? 109 Let o = 3087 - 1673. Calculate the greatest common factor of 28 and o. 14 Suppose 2*l - 33 = 63. Suppose 4*d + 11*v - 32 = 13*v, -18 = -5*d - 3*v. Calculate the greatest common divisor of l and d. 6 Let g = 1196 + -403. What is the greatest common factor of 61 and g? 61 Suppose 4 = 11*s - 18. Let i = 82 - s. Calculate the highest common divisor of i and 10. 10 Suppose 3*u = -4*p + 19, 3*p - 1 = 4*u + 7. Let n be (1 + u)/(6/(-15)). Let s = 4 - n. What is the highest common divisor of 72 and s? 9 Suppose -1 + 11 = x. Suppose -2*y = 3140 - 3144. Calculate the greatest common divisor of y and x. 2 Suppose 3*u - 91 = n + 49, -3*u + 3*n = -150. Calculate the highest common divisor of u and 135. 45 Let r be 15*(-18)/120*-8. Suppose -u - 7*l + 2*l + 31 = 0, -7 = -2*u + l. What is the greatest common factor of r and u? 6 Let l(g) = 3*g - 5. Let p be l(24). Suppose 0 = 2*o - 5*y - p, 134 + 55 = 4*o + y. What is the highest common divisor of o and 69? 23 Let q(y) = 2*y**2 - y - 5. Let d be q(-2). Suppose -d*a - 67 = -352. Calculate the greatest common factor of 38 and a. 19 Suppose -8*t = 4*z - 3*t - 120, 3*z - 6*t = 129. Calculate the highest common factor of 155 and z. 5 Let x be (2/(18/(-15)))/(2/(-114)). Let t = x - -31. What is the greatest common divisor of 14 and t? 14 Suppose -26*m + 90 = -17*m. What is the greatest common divisor of m and 160? 10 Let a(j) = -3*j**3 + 2*j**2 + 2*j**3 + j + 0*j. Let d be a(-1). Suppose -4*r - d = -54. Calculate the greatest common factor of r and 52. 13 Let c(k) = 10*k**2 + 105*k + 14. Let l be c(-14). What is the highest common factor of l and 63? 63 Let x(z) = 6*z + 333. Let i be x(-43). Calculate the highest common factor of i and 400. 25 Suppose 143*b = 146*b + 315. Let i = b - -114. Calculate the greatest common factor of i and 63. 9 Suppose q + 37*q = 456. Let b(g) = -g**2 - 11*g. Let r be b(-6). What is the greatest common factor of q and r? 6 Let f be (-628)/(-471)*99/2. Calculate the greatest common factor of 44 and f. 22 Let c = 161 - 155. Calculate the greatest common factor of 94 and c. 2 Suppose -5*j + 0*j = -600. Let d = -169 + 189. What is the highest common factor of d and j? 20 Suppose 2*o - 2*p - 2*p = 36, -2*o - 4*p = -28. What is the highest common divisor of o and 784? 16 Suppose -2*b + 2 = 0, 0*o + 24 = 4*o + 4*b. Suppose x - 4 = 0, o*v + 4 = 3*v + 2*x. Suppose v*f + 3*f - 115 = 0. What is the highest common factor of f and 161? 23 Let y(t) = t**3 - 4*t**2 + 2*t - 3. Let r be y(5). Let z be 6/8*r/12. Calculate the highest common divisor of z and 2. 2 Suppose 0 = -w - 3*o + 69, 2*w - 5*o - 110 - 72 = 0. Calculate the greatest common factor of 27 and w. 27 Let x be 304/6 + 1 - (-650)/(-975). What is the greatest common factor of 1887 and x? 51 Let z be 13/(26/8)*8. What is the greatest common divisor of z and 80? 16 Let o be 4/(0 + 40) + (-169029)/(-210). What is the highest common divisor of o and 70? 35 Let n = -47 - -76. Suppose 3*w + n = 2. Let y = w + 18. Calculate the highest common factor of 63 and y. 9 Let h(g) = -g**3 + 6*g**2 - g + 5. Let d be h(6). Let y be (3/(-6))/((1/6)/d). What is the greatest common divisor of 15 and y? 3 Let z(g) = 2*g**2 + 7*g - 6. Let a be z(2). Let s(j) = j**3 + 7*j*
{ "pile_set_name": "DM Mathematics" }
remainder when 11 is divided by u? 3 Calculate the remainder when 7259 is divided by 2 + -17 - (14 - 73). 43 Let y(b) = -113*b - 1457. Let j = 65 - 8. What is the remainder when j is divided by y(-13)? 9 What is the remainder when (3/15 + (-1068)/15)*-38 is divided by 75? 73 Suppose -2*y = q + 7, 21 = 2*q - 14*y + 11*y. Suppose 3 = -z - 0*z, -q*z = -5*j + 279. What is the remainder when j is divided by 5? 4 Let y(j) = j**3 + j**2 - j + 2. Let z be y(-2). Let m(w) = 49 + 66 - 23 + 40 - 2*w. Calculate the remainder when m(z) is divided by 27. 24 Let s be -1 - (-2 - (1320/(-3))/(-5)). Suppose 6*g + 5 = s. Calculate the remainder when 78 is divided by g. 8 Suppose 63*x = -69*x + 4356. Suppose -5*k + 12 + 33 = 0. Calculate the remainder when x is divided by k. 6 Let d = -17 + 20. Suppose -2*r + d*f + 12 = -17, 0 = 4*r + 2*f - 66. Suppose -112 = -22*s + 18*s. What is the remainder when s is divided by r? 12 Let f(i) = 421*i - 11599. Let h = 18 - -21. What is the remainder when f(28) is divided by h? 33 Let l(w) = -w**2 - 20*w + 66. Let p = 95 + -108. Calculate the remainder when l(p) is divided by 18. 13 Let x(a) = 18*a**2 - 4. Let l be x(2). Suppose -18*o + l = -16*o. Calculate the remainder when o is divided by -3 + 7/(14/30). 10 Let v = -19 + 165. Calculate the remainder when v is divided by 5994/112 - 81/216 - 18/126. 40 Let o(a) = 311*a - 45. Calculate the remainder when o(1) is divided by 124. 18 Suppose -4*o = d - 50, -86 = -3*d - o + 5*o. Let m = d + -8. Calculate the remainder when 46 is divided by (-3*m)/(-3) - 1. 21 Suppose 3*b = y - 2457, -b + 12333 = -0*y + 5*y. What is the remainder when y is divided by 65? 61 What is the remainder when 102 is divided by ((-394)/(-30) - 13) + 1569/45? 32 Calculate the remainder when 118 is divided by 13/1*3330/1443. 28 Let b(r) = 13*r - 57. Suppose 0 = -2*w + 4*w - 14. Let y = 29 + -20. Calculate the remainder when b(w) is divided by y. 7 Suppose 0 = -s + 5, 4*m - 10849 = -0*m - 5*s. What is the remainder when m is divided by 43? 40 Calculate the remainder when 18058 is divided by 5/(20/63) + (1275/(-68))/25. 13 Let i(d) = 2*d**2 + 36*d - 18. Let v be i(-25). Suppose -3*s = -y + 83, s - v = -4*y - s. What is the remainder when y is divided by 28? 27 Let t = 570 - 522. What is the remainder when 1*54 - (2 - (2 + -2)) is divided by t? 4 Suppose -86 = -3*q - l, 34 = 2*q - l - 3*l. Calculate the remainder when 12/(-15)*((-22)/(-33) - (-1671)/(-9)) is divided by q. 13 Let i(r) be the third derivative of r**4/12 + 8*r**2. Let n be i(2). Calculate the remainder when 32 is divided by (-11)/(2 - n - -1). 10 Suppose -126*v - 135*v = 52*v - 68547. What is the remainder when 2839 is divided by v? 211 Let n = -352 - -24. Let q = n + 373. What is the remainder when 91 is divided by q? 1 Suppose 0 = 16*y + 6261 - 16917. What is the remainder when y is divided by 42? 36 Suppose -5*d + 4*h = -30, -2*d + 34*h + 12 = 32*h. Suppose -7*t + 82 = -d*t - 5*c, t = -4*c + 82. What is the remainder when t is divided by 7? 5 Suppose 0 = 7*p - 2*x - 5175, 64*p - 67*p + 3*x = -2205. What is the remainder when p is divided by 109? 87 Let j = 7 - -2. Let n = 55 + -55. Suppose n*u + j = 3*u. Calculate the remainder when 16 is divided by u. 1 Suppose -3*d + 96 = -5*i, -2*d + 66 = -3*i - i. Suppose -4*p = -73 - d. Calculate the remainder when 96 is divided by p. 21 Let u be (3/(-6))/((-10)/(-1340)). Let r = u - -176. What is the remainder when r is divided by 22? 21 Suppose -10 = -2*l - 0*l, 0 = -5*m + 4*l + 200. Suppose 0 = -y + p + 18, -278*y - 42 = -283*y - 3*p. Calculate the remainder when m is divided by y. 8 Calculate the remainder when -58*(-4 - -2)*(-185)/(-20) is divided by 215. 213 Let f = 665 + -373. What is the remainder when f is divided by 649/44*(-20 + 34 + -10)? 56 Suppose -17 + 9 = 4*j, -4*j + 512 = 4*g. Suppose 3*c + c - 12 = 0. Let z = 30 + c. Calculate the remainder when g is divided by z. 31 Let g(c) = c**2 + 6. Let u be g(0). Let f be (-3)/u - (-39)/(-2). Calculate the remainder when 45 is divided by ((-54)/10)/(6/f). 9 Suppose 2 - 13 = -w. Let x(b) = 7*b**2 + 41*b - 14. Let j be (-94)/14 - 214/749. What is the remainder when x(j) is divided by w? 9 Let w = -46 - -63. Let m(u) = u + 30. What is the remainder when 185 is divided by m(w)? 44 Suppose 17*k + 52 = 21*k. Let t(h) = 12*h + h**2 - 26 - 16 + 58. Calculate the remainder when t(-12) is divided by k. 3 Let r(f) be the second derivative of f**5/20 - 4*f**3/3 + 3*f**2/2 - 116*f. Calculate the remainder when r(6) is divided by 36. 27 Suppose p = 5*r - 61, 413*r = 415*r + p - 23. What is the remainder when (-1598)/(-14) + 3/(-21) is divided by r? 6 Let n(t) = t**3 + 13*t**2 + 21*t + 16. Let l be n(-7). Suppose -5*h - 263 = 52. Let w = l + h. Calculate the remainder when w is divided by 17. 15 Let b(u) = 2*u**2 - 5*u - 992. Calculate the remainder when b(-25) is divided by 84. 47 Let w be (18/(-15))/(((-8)/870)/4). Suppose 12*k + 6*k = w. What is the remainder when k is divided by 0*2/(-4) + 3? 2 Suppose 161*s + 13*s - 216804 = 0. What is the remainder when s is divided by 216? 166 Let o(g) = g**2 + 12*g - 14. What is the remainder when ((-9)/(-4))/(261/28884) is divided by o(-14)? 11 Let m = -13 + 1. Let y be (6/m)/((-1)/98). Let w = y + -39. Calculate the remainder when w is divided by 7. 3 Let n = 15 - 6. Suppose 2*h - 46 = h - 3*z, 4*h + 2*z - 174 = 0. Let a = 60 - h. Calculate the remainder when a is divided by n. 8 Suppose 2*y - 4*y + 12 = 0. Suppose 424 - 82 = y*t. Let k(h) = h + 8. What is the remainder when t is divided by k(8)? 9 Let w(t) = 8*t**3 - t**2 + 13*t + 12 - 10*t**3 - t**2 - 5*t**2. Let q be w(-6). Suppose -4*m + q = -m. Calculate the remainder when 72 is divided by m. 34 Let x(n) = -2*n**2 + 21*n + 10. Let q be x(16). Let c = 172 + q. Calculate the remainder when 221 is divided by c. 5 Suppose 0 = 8*k - 2*k + 18. What is the remainder when 17 is divided by 488/56 - k*(-4)/(-42)? 8 Let a be 3 + (19 - (1 + 6)). Let f(s) = -s**3 + 14*s**2 + 38*s + 3. Calculate the remainder when f(a) is divided by 50. 48 Let u = 64 - -44. Suppose -4*s + 2*s - u = -h, -5*s - 216 = -2*h. Calculate the remainder when (h/21)/((-21)/(-196)) is divided by 27. 21 Suppose 4*a = d + 10975, 7*a - 2*a - 13718 = 2*d. Calculate the remainder when a is divided by 110. 104 Let o = -2587 + 2922. Calculate the remainder when o is divided by 68. 63 Let i(n) = 146*n - 2179. What is the remainder when 380 is divided by i(15)? 6 Let l(b) = b**2 + 2*b + 207. Suppose -19*r + 25*r = 0. What is the remainder when l(r) is divided by 42? 39 Let w(a) = -a**3 - 2*a**2 + 2*a - 2. Calculate the remainder when w(-5) is divided by (8 + 0 - -15 - -1)/1. 15 Suppose 21*c - 8944 = -57*c - 8*c. What is the remainder when 238 is divided by c? 30 Suppose 5*b = l + 22664, 92*b = 96*b + l - 18133. What is the remainder when b is divided by 28? 25 Let v(g) = g**2 + 26*g + 364. Calculate the remainder when v(-20) is divided by 133. 111 Let t = 38 + -47. Let q(s) = -s**3 - 8*s**2 + 5*s. Let c be q(t). Suppose c = 2*v - 4. What is the remainder when 38 is divided by v? 18 Suppose -4*w = 3*p - 332, 3*w - 66 = -p + 38. Suppose -a + y + p = 5*y, -2*y = -5*a + 470. What is the remainder when a is divided by 25? 21 Suppose 0 = 2*c - 6, n - 3*c - 26 = -4*c. What is the remainder when 58 is divided by n? 12 Calculate the remainder when (2/2 - -9028)/((-214)/(-214)) is divided by 14. 13 Let p(k) = k**3 - 10*k**2 + 61*k - 918. Calculate the remainder when 304 is divided by p(12). 100 Suppose -3*j - 293 = -2*c + 2*j, -5*c + 4*j = -775. Let p = c + -131. Calculate the remainder when p is divided by 24. 4 Suppose k = 4*q - 100, 3*q + 47*k - 75 = 50*k. Calculate the remainder when q is divided by 14. 11 Let o(l) = 33*l - 4 - 15*l + 6*l + 32*l. Let x be o(4). Let v = x + -110. What is the remainder when v is divided by 29? 23 Let o(d) = -d**3 + 6*d**2 + 26*d - 91. Calculate the remainder when o(7) is divided by 35. 7 Suppose 246 = 3*w + 84. Suppose 4*n - 2*k - 670 = 0, -n - 3*k = -34 - 151. What is the remainder when n is divided by w? 8 Suppose 12*s = 11*s - 15*s + 1968. What is the remainder when 370 is divided by s? 1 Suppose 9*h - 7*h = 670. Let f = h + -209. What is the remainder when f is divided by 48? 30 Suppo
{ "pile_set_name": "DM Mathematics" }
= 0, 2*y + 0*y + 6 = -4*t. Let d = 412 - 415. Is d >= t? False Suppose -109*m - 88*m = 0. Which is bigger: m or 2/13537? 2/13537 Let n be (175/(-28) - -6)/((-1)/28). Suppose n + 22 = 5*y + 3*i, -5 = -5*y + 5*i. Suppose y*s + 212 = -44. Which is greater: -63 or s? -63 Suppose -2*z = 2*o + 172, 3*z + 0*z + 345 = -4*o. Let j = 77 + o. Which is greater: j or -25? j Let i = 36094 + -36169. Which is smaller: i or -2/13? i Let h = 17 + 10. Suppose h*i + 6 = 21*i. Is i != -3/89? True Let q = 3480 + -3562. Is q >= -18? False Suppose 0 = f - 4*t - 33, 3*t = -27*f + 22*f - 19. Is f bigger than 1.7891? False Let n = -240 - -242. Suppose -n*b = -10*b + 136. Is -1 > b? False Let b = 795/292 + 2/73. Let o = 95 - 95. Suppose 19*q + 1 - 58 = o. Which is greater: q or b? q Let p = -454341 + 454342. Let x = -127.8 - -148. Let f = -1.2 + x. Which is smaller: p or f? p Suppose 16*l = 8*l + 184. Suppose 11*q = -66 - 11. Let s be -3 - l/q - (-58)/(-14). Is -3 < s? False Let c = -2/3145 + -3607309/9435. Let p = -378 - c. Let m = -11 + 14. Which is greater: p or m? p Let b(f) = -5*f + 68. Let g be b(-26). Let i = g + -24. Is i at least 173? True Let q(n) = -n**3 + 60*n**2 - 371*n + 46. Let b be q(51). Is 4534 < b? False Let c be (-6)/12*(-12 + 12). Suppose 2*m - 219 = -m. Let k be 2/9 + m/(-207). Which is greater: c or k? c Suppose 2*g + i + 2 = 0, -3*g + 0*i + 4*i = -19. Let v be (-3)/(-2)*(-40)/(-15)*g. Suppose -13*b = v - 4. Do b and 0 have the same value? True Let u = -4 + 3. Let a(o) = -o**3 + 6*o**2 + 2*o - 8. Let m be a(6). Suppose 5*r - 5*p = 35, -3*r + 2*r - 18 = m*p. Which is smaller: r or u? u Let y = -146.1176 + -16.6794. Let b = -163 - y. Is b <= -0.1? True Let a = 526992 + -2646936/5. Suppose 2 = 2*y, 3*s - 4*y - 7142 = -9*y. Let d = s + a. Does d = -15? False Suppose 0*u + 3*u = -3. Let d be (-2)/(-13) - 15024/99684. Let k = d + -11536/10863. Which is bigger: u or k? u Let n = -2813 + 2828.095. Let q = -0.095 + n. Which is bigger: q or -5? q Let s = 594.34 + -5.34. Let t = -588.9 + s. Is t not equal to 407? True Let q = -678 - -464. Let y = -360 - q. Is -144 less than or equal to y? False Let u(r) = r**3 - 3*r**2 + 5*r - 8. Let d be u(2). Let i be (-4)/(-32)*d*(-5 + 1). Is -4 smaller than i? True Let r = -0.88 - 8.32. Let y = -7 - r. Suppose -3*d - 2 = 2*c, -16*d + 5*c - 12 = -15*d. Are y and d unequal? True Let p(t) = -t**3 - 66*t**2 - 244*t - 191. Let f be p(-61). Is -3910 at least as big as f? True Let y = 102 - 101.902. Let v = 52.098 - y. Which is greater: v or -2? v Suppose -22*m + 17*m - w + 11 = 0, -5*w + 27 = -3*m. Is m at least as big as -12634? True Let k = 388 - 2724/7. Let g(h) = h**2 - 13*h + 4. Let i be g(0). Suppose 12*a = 14*a + i. Which is smaller: k or a? a Suppose 23*z + 4 = -30 + 11. Let p = 5 - -15. Let a be (-5)/p - 6/104. Which is bigger: z or a? a Suppose 4*a = -4*h + 344, 0*h = 3*h. Let x = 86 - a. Is x less than or equal to -2/57? False Let j = 4022 - 4022. Is j at least 1/10667? False Suppose 5*s = -0 + 15. Suppose -4*f - s*n - 79 = -0*n, -2*n = 5*f + 90. Let q = f + 17. Which is greater: 2/109 or q? q Suppose 39*p = 40*p - 1, -2*h + 6 = 2*p. Let j be (-3)/(-1)*3488/(-24). Let f be (2 + j/216)/((-3)/h). Is f equal to 0? False Suppose -12 = -58*p + 133*p - 63*p. Which is greater: p or 1/104? 1/104 Let g(y) = -22 - 6 + 19*y - 8 - 102. Let d be g(10). Is 5 smaller than d? True Let w(t) = -18 + 40 - 5*t**2 - 13*t - 9*t**2 + 64. Let n be w(5). Which is smaller: n or -330? -330 Let p(m) = -166*m + 1327. Let f be p(8). Which is greater: 2/771 or f? 2/771 Let p be (99/(-5) - 411/685)/((-2)/30). Is p smaller than -0.3? False Let i = 314 - 307. Suppose -2*k + 3*j - i = 0, 3*k - 18*j + 16*j + 8 = 0. Which is smaller: -19/20 or k? k Suppose -b - 13 = -169. Let h be 2/5 - (b/(-13) - -12). Is 3/73 equal to h? False Let g(p) = -5*p**3 + p**2 + 7*p - 7. Let u be g(1). Let n be (1/((-3)/(-3)))/(322/u). Is n greater than or equal to 0? False Let p(v) = 6*v - 419 + 0*v + 418. Let w be p(6). Is 34 < w? True Let s be ((-39)/130)/((-39)/(-65)). Does s = -5.38? False Let a be 21141/(-2755) - (-15 - -7). Which is smaller: 0 or a? 0 Suppose -77*a = -41*a. Suppose 2*s + 24 + 6 = 0. Let q = -22 - s. Are a and q equal? False Let w = 77 - 50. Suppose 0 = -i + 8 - 0. Suppose i*l - 157 = 67. Is w greater than l? False Let x = -10.97 + -6.13. Is -9 < x? False Let q be 1216/(-760)*(-1 + (7 - 1)). Let l be 6/(28/q + -4). Which is smaller: l or 0? l Let o be 3/21 + (-78)/(-42) - 3. Let j(s) = -s + 2 - 1 + 38*s**3 - s**2 + 0*s**2. Let c be j(o). Is -37 > c? False Let i be ((-4)/(-5) - 2)*377. Let d = i + 452. Which is smaller: 49/4 or d? d Let w = -10325.1 + 10325. Let b = -113.3 - -15.3. Is b equal to w? False Let p(w) = 6*w**2 - 191*w - 46. Let c be p(29). Let s = c + 54. Which is greater: s or -486? s Suppose 0 = -67*m + 53*m + 812. Which is smaller: 2/9 or m? 2/9 Suppose -a = 4*a - 120. Suppose 5*n + 0*n - 5*w = 0, 2*n - a = -4*w. Let y be 4 - (-40)/(-12)*(-9)/(-15). Is y > n? False Let x be 63/105 + (-84)/(-10). Let l be 3616/72 + (-2)/x. Suppose 0 = -l*w + 56*w + 318. Is -53 <= w? True Let a = 3.7 + 13.3. Let h(j) = 9*j - 41. Let u be h(-18). Let p = u - -1419/7. Is p > a? False Let m = -73 - -104. Suppose -g = -m + 32. Let x = -2/411 + -319/137. Which is bigger: g or x? g Let p(z) = z**2 + 1. Let x be p(-1). Suppose -54 = -x*w - 0*w. Let j = w - 34. Is j bigger than -10? True Let c be (-1003)/(-102) + 9/(-2) + 2. Let o(q) = -5*q - 49. Let n be o(-11). Is n at least as big as c? False Suppose -6*q = 1 - 19. Suppose -2*i - 163 = -3*n, -q*n - 161 = -6*n + i. Let w = n + -48. Is w greater than or equal to 46/9? False Suppose 25*p + 3027 = 27*p + 5*m, -p + 1507 = -4*m. Which is greater: p or 1506? p Let t = 53.8526 - -0.0474. Let u = 1.18 - -52.82. Let s = t - u. Is s less than 2? True Let l = -2/735 - 176/147. Suppose -5*f - 350 = -2*q, 0 = -2*f + 2*q - 5 - 135. Let s = f - -67. Do l and s have the same value? False Let l = 910 - 357. Let w = -493.1 + l. Let b = w - 60. Are b and 8 nonequal? True Let r = -43 + 23. Suppose -11*v - 55322 = 15*v - 54750. Which is bigger: v or r? r Let x be ((-10)/2 + 1)/((-10)/(-70)). Let j be (x/210)/((-8)/6 + 0). Is -1 != j? True Let d = -22.4 + 232.4. Let t = 213 - d. Which is bigger: 18 or t? 18 Suppose 4*s - q - 49 = 0, 0 = -5*q + 2*q - 3. Let t be ((-54)/(-195))/(s/360). Is 9 equal to t? False Suppose -4*m + 126 = r + 224, -3*r + 74 = -4*m. Which is smaller: m or -113/5? m Let s = 138 + -132. Let r be (s - 14) + 1 - -7. Is 4/29 less than r? False Let b = -1 - 0. Let t = -7091 - -35451/5. Is b < t? True Suppose 0 = 8*y - 251 - 165. Let g = 10/11 + -8/33. Is y smaller than g? False Suppose o - 1 = 2*w - 10, -w + 4 = 0. Let i be ((-48)/(-800))/((-6 - -5)/((-8)/(-3))). Which is smaller: o or i? o Let j = -20 + 57. Suppose 4*f - 8 = -0. Suppose -3*g = 2*a - 59, -f*a + 210 = 3*a - 5*g. Is a less than or equal to j? True Let c = -27420 + 27420. Which is smaller: 7.969 or c? c Suppose 0*n = -n - 1. Let j be 0/(-17)*(-1 - n - 1). Which is bigger: 12 or j? 12 Let b(s) = 3*s + 18. Let a be ((-23)/(-3) - 7) + (-94)/6. Let t be b(a). Let m = 41 - 69. Which is bigger: t or m? t Let u = 18.598 + 1811.402. Is 1/4 not equal to u? True Let q be (-84)/80 - 1/(-4). Suppose 3043 - 3065 = -4*u + 6*x, -3*u = -4*x - 23. Which is smaller: u or q? q Let i = 1 + -2. Let u = i + 1. Let o = -286.3334 + 288.7334. Is o greater than or equal to u? True Let c = -2032 + 2179. Which is smaller: c or 144? 144 Let u = 0.4999 - 0.5999. Which is greater: 1350 or u? 1350 Let a = 12715 + -61478/5. Let y = a - 421. Is y greater than or equal to -2? True Let t = -0.2157 - -0.0157. Which is bigger: t or 17/87? 17/87 Let z(g) = -31*g - 26. Let i be z(-1). Suppose 3*v = -2*y - 1 - 2, 20 = i*v - 5*y. Which is smaller: 4/9 or v? 4/9 Let k = 5.946 + 5865.054. Is -0.1 < k? True Let n = -194 - -191. Is n greater than -44.7? True Let n be 286/114 - 2/(-6). Suppose 4*i + 82 = -4*z + 18, -17*i + 3*z = -88. Is i less than n? True Let k = -361 - -354. Let p be (-14)/(-7) + k + 4. Which is smaller: 2/219 or p? p Let c be 4 + -1 + -3 - 1002/(-33). Let l = -1223/55 - c. Does -54 = l? False Let l = -16.89 - 60.51. Are l and 1 equal? False Let v(l) = 21*l + 1911. Let w be v(-
{ "pile_set_name": "DM Mathematics" }
or s. 1 Let j = 21 + -21. Suppose -401*m + 397*m + 916 = 0. Let f = 241 - m. Solve 4*o + f = 3*o - 4*s, j = -3*s - 12 for o. 4 Let d(u) = -u - 3*u + 3 + 3*u. Let r be d(2). Let a be (-78)/(-24) - r/4. Solve 2*p - 4 = -4*o - 12, -p = a*o + 6 for o. -2 Let d(o) = -o**2 - 31*o - 4. Let m be d(-15). Suppose 428 = -4*h - 5*s, -5*h - m = 4*s + 308. Let u = -110 - h. Solve 6*g - 2*g - 13 = -y, 14 = 2*g + u*y for g. 2 Let i(o) = -o**2 - 3*o + 38. Let f be i(6). Let w be (5/8)/((-2)/f). Solve -4*q = -v + w*v, v = 3 for q. -3 Suppose -11*r + 10*r + 51 = 16*r. Let o be (-2)/(-6) - 55/(-15). Solve 4*q + 7 = k, -q + r = o*k - 8 for k. 3 Let m(z) = -3*z - 42. Let b be m(-15). Suppose 0 = -b*u + 24 - 12. Solve u*j = 3*t + 4, 5*t = -5*j - 1 + 6 for j. 1 Let m(k) = k**3 + 2*k**2 - 13*k - 28. Let n be m(-3). Solve 28*s - 30*s - 5*v = -28, -n*v = -s - 4 for s. 4 Suppose -33*i = 60*i - 744. Solve -15 = i*o - 9*o - 2*a, 15 = -2*o + 5*a for o. 5 Let g(f) = -6 - 11*f - 7 + 15*f - 12*f. Let r be g(3). Let t = r + 40. Solve -3*n = 2*z + 5, -2*z - t*z = 20 for n. 1 Let p(r) = 6*r**2 - 28*r + 27. Let s be p(1). Solve 4*x = s*b - x + 30, -4*x + 30 = -7*b for b. -2 Suppose f = -11*f - 348. Let u = -46 - f. Let i(t) = -t - 14. Let x be i(u). Solve -21 = 3*a + x*h, -3*a + h - 9 = -2*h for a. -5 Suppose 0 = -b + 2*f - 2, 3*f = 3*b - 6*b + 12. Let q be (-1 + 1/b)*(-23 + 17). Solve -2*o = q*o + m - 5, 4*o = -3*m + 15 for o. 0 Suppose 0 = -104*v - 148*v + 43*v + 3135. Solve v = 5*p, -8*t + 3*t - p + 13 = 0 for t. 2 Suppose 244*t - 238*t + 36 = 0. Let m be (63/42)/(t/(-8)). Solve -2*x + m = p - 3*p, 8 = -4*x + p for x. -3 Let v be 2 + 6 - (-9 + (8 - -7)). Solve 6*d - 4*d = -v*o - 12, -4*o + d = 9 for o. -3 Let v(q) = q**3 - 27*q**2 + 5*q - 133. Let o be v(27). Solve 0 = -16*p + 15*p + 2*t, o*p - 10 = -t for p. 4 Let g(p) = -167*p - 7155. Let u be g(-43). Solve -29 = z + 5*o, -u = 4*z - o + 3*o for z. -4 Suppose -2*y - n = 1, -n - 2 = 3*y - 3. Let g = 139 + -144. Let z be y*5/(0 - g). Solve -z*l = -r - 1, 0 = 2*l + l - r - 1 for l. 0 Let n be (-29)/(-3) + (-833)/(-357). Solve 4*g - 3*o = 8, 2 = -5*g + o + n for g. 2 Suppose p - 9 = -5. Let d be 9/p*((-4)/12 + 3). Solve 4*r = d*r + 6, 4*b - 6 = 2*r for b. 0 Let g(b) be the first derivative of -2*b**2 + 68*b - 24. Let u be g(15). Solve -4*y + u = 3*q, 0*y + 24 = -q + 4*y for q. -4 Let t(m) = 31*m**2 - 5*m + 2. Let s be t(2). Let g = -181 + s. Let x = -61 - g. Solve -3*y + 7 = -x*f, 2*f + 5*y + 11 = -12 for f. -4 Let p = 181 - 140. Suppose 44*t - 9 = p*t. Solve -t*l = i - 2, -2*i + 11 + 0 = -l for i. 5 Let i = 26145 + -26138. Solve -w - 2*h - 3 = 0, 15 = 10*w - i*w - 2*h for w. 3 Suppose -2*r + 6 = -2*a, -6 = -a - a. Suppose w + 27 = 5*i, 0 = -r*i + 3*i + w + 17. Solve -2*g + 5 = 4*p + 3*g, -p - i*g = 10 for p. 5 Suppose 14 = -2*c - 4*l, 3*c - 2*l = 7 + 4. Let o be c/(-2) + (-915)/(-10). Suppose 0 = -5*s - 26 + o. Solve -j + 1 = 4*b + s, -4*b + 4*j = 12 for b. -3 Let u(o) = 5*o + 109. Let f be u(-21). Suppose -14 + 3 = -c. Suppose 12 = -3*p, -3*p - 41 + 13 = -4*n. Solve -k - 13 = n*s, f*s = -s - 3*k - c for s. -4 Suppose 3*f + 88 = 5*s, f - 12 = -2*f. Suppose 3*j - 630 + 1682 = x, -5*x + 5308 = j. Let c = -1057 + x. Solve v = 3*l + s, v + 3*v = c*l + 40 for v. 5 Let m(y) = 2*y**2 - 9*y - 16. Let a be m(6). Suppose a*k - 7 = -1. Solve 0 = -3*q - k*b, 5*q + 11 = -b - 1 for q. -3 Suppose 10*y - 25 = -5. Suppose -4*r + 6 = -y*r. Solve -5*h - 5*f + 25 = 0, -5*f - 10 = -3*h - r for h. 4 Let u = -1709 - -1716. Solve -4*a = -4*n + 16, 3*n - 2*a - u = 4 for n. 3 Let v be 11 - -1 - ((-219)/146)/((-2)/8). Solve v = s + 2*m, -3*m - 18 = -30 for s. -2 Suppose -4*p - 3 = 3*h, -2 = h - 1. Suppose 2*g - 6 = -4*m + 4*g, p = 4*m + g - 15. Solve -t + m*w + 4 = 0, 4*t + 2*w - 1 = 1 for t. 1 Let v = -15 + 17. Suppose x + 2 = -4*g, 2*x + g = -2*x + 7. Solve -2*c = -3*r + 8, -4*c + v*c - 6 = -x*r for r. 2 Let m be (3 - 2)/((-1)/72). Let q be (9/3 - 0)/((-4)/m). Suppose -6*d = -0*d - q. Solve -2*k - 3*l = d, -2*k = k - 2*l - 6 for k. 0 Suppose 2*w - 13 = -17 + 10. Solve -3*s + 6 = -w*m, 7*s = -m - 30 + 44 for m. 0 Let t(q) be the second derivative of -q**5/4 + q**4/6 - 3*q**3/2 - 11*q**2/2 - 42*q. Let n be t(-1). Solve -4*d = 4, -5*b - n*d = 6 - 1 for b. 0 Let k(u) = u**3 + 2*u**2 - 3*u + 3. Let l be k(-3). Suppose -32*m - 294 = -26*m. Let r = 63 + m. Solve -2*f - 4*q + r = 0, -5*f + q = 17 + l for f. -3 Suppose 32 + 18 = 139*q - 228. Solve q*w + 32 = 4*f + 6, 0 = -4*f - 2*w + 14 for f. 5 Let g be (30/(-4))/(825/(-220)). Solve -2*f - 28 = g*f - 4*r, -2*r - 21 = 5*f for f. -5 Suppose -4*n = -2*h - 3*n + 103, 2*h - 101 = 3*n. Let y be (-159)/6 - 2/(-4). Let l = y + h. Solve 0 = -5*d - 5*m + 20, -6 = -4*d + 5*m - l for d. 0 Let g(v) be the first derivative of -11*v**2 - 44*v + 80. Let h be g(-2). Solve 4*b + 28 = -4*r, -r + h*r - 2*b - 10 = 0 for r. -4 Let u(r) = 4*r + 19. Let v be u(-4). Suppose -2 = -v*l + c, 5*l - 3*c + 5 - 3 = 0. Solve -y - l*y + x + 5 = 0, -3*x = -4*y + 5 for y. 2 Let i(w) = -81*w - 1132. Let g be i(-14). Suppose -4*p = -5*m - 13 - 34, 10 = 2*m. Let f = p - 16. Solve g*l + z = -6, -4*l = -2*z + f + 2 for l. -2 Let m(z) = -37*z + 37. Let y be m(1). Suppose y = -91*h + 82*h + 45. Solve h*u + 3*s = 6, 2 = 4*u + 2*s - 4 for u. 3 Let q(z) be the second derivative of -13*z**3/3 + 29*z**2/2 - 131*z - 1. Let a be q(1). Solve 0*g + 2*d = -a*g + 6, g + 2*d - 2 = 0 for g. 2 Let u be (108/24)/1 + (-2)/4. Let j be (-11 - -1)*((2 - u) + 1). Solve 5*x + 5*g + 5 = 0, -5*x - 3*g - 3 = j for x. -5 Let y(l) = -2*l**3 + 62*l**2 - 68*l + 253. Let b be y(30). Solve 5*d = 2*h - 5, -b = d + 9*h - 7*h for d. -3 Let m(t) be the first derivative of -14*t**2 - 165*t - 236. Let j be m(-6). Solve j*q - x - x + 5 = 0, 3*q + 11 = -x for q. -3 Suppose 0*d - 2*d - 3*f - 15 = 0, 0 = 2*f + 10. Let l be (5/(-3) + (-19822)/(-13515))/((-1)/25). Solve -4 = 3*a - d*x + 4*x, -l*x = 5*a for a. 4 Let z be 12/15*10/4. Let b(m) = -m**3 + 4*m**2 - 8. Let x = 111 + -109. Let c be b(x). Solve c = 4*o + 4*w - 16, 2*o = -z*o - 3*w + 15 for o. 3 Suppose 0 = 4*f - 31 - 13. Suppose 3*p - f = 64. Suppose -5*u + 0*k - p = 5*k, -u = -2*k - 10. Solve q = -3*r + 12, -q = -u*q + 2*r - 7 for q. -3 Let m(f) = 8*f - 46 + f**3 - 2*f**3 + 1428*f**2 - 1439*f**2. Let b be m(-12). Solve -a - a = 3*s + 13, -b*a = 4*s + 16 for s. -3 Let f(z) = z**3 + 14*z**2 - 4*z - 4. Let c be f(3). Suppose 0 = c*p - 131*p - 12. Solve -p*h = -2*d - 2*d - 2, 4*h - 5*d = -2 for h. -3 Let m(b) = -b**3 - 14*b**2 + 14*b - 13. Let n be m(-15). Suppose 2*y = -0*y + 10. Suppose -11*p + y*p = -36. Solve -3*h = -z - 3, -p + n = -4*h - 3*z for h. 1 Suppose -5*m = 7*m - 180. Suppose -m*v + 7 = -38. Suppose 15 = -i + 4*i. Solve -v*u = i*s - 8 - 17, 5*s = -2*u + 20 for u. 5 Let u be 0 + -4 + -2 + 11 + -2. Suppose -u*t = -3*b - 75, -2*t + 23 = -4*b - 33. Let k be (-160)/(-88) + 4/t. Solve 3*j = -3, -2*j - k = p + 2*j for p. 2 Let k be (-4)/7*((-210)/(-140))/(2/(-14)). Solve -2*h + 5 = 5*u, -3*u + k*u = -4*h - 11 for h. -5 Suppose 21*c = 1053 + 4575. Let o = c + -261. Solve -3*j = 3*f - 3, o = 3*j + 2*j + 3*f for j. 2 Let t be (-72)/(-60) + ((-2)/(-5))/(-2). Solve -39*y = -35*y + 5*u - 7, -3*u + t = 4*y for y. -2 Suppose 1 = -3*r + 2*t, -4*t + 11 = -3*r - 0. Let c be (-2 - 0)*125/(-10). Suppose o = 6*o - c. Solve h - i - r = -2*i, 27 = o*h - i for h. 5 Let g = -3 - -4. Let u(z) = 23*z - 20. Let x be u(g). Solve 4*v - 4 = -4*t + 2*v, -t - x*v = 9 for t. 3 Let n = 2438 + -2438. Solve v + 12 = -4*b, 3*b = 4*v - n - 9 for v. 0 Let y(z) = 2*z**2 + 19*z + 6. Let r be y(8). Suppose -81 = 5*x - r. Let i = x + -39. Solve i*v = -4*j - 6, 0 = -2*v + 2*j + 7 + 11 for v. 5 Suppose 9 = 12*u - 39. Suppose 0 = u*k - k - 15. Solve -r = i - 2, -k*r + 15 + 10 = 0 for i. -3 Let g = -13808 - -13846. Solve 0 = -5*v - 28*a + 24*a + g, -16 = -2*v - 2*a for v. 6 Let s(n) = n**3 + 6*n**2 - 11*n - 21. Suppose -z - 37 = 5*x, -7*z + 9*z = -x - 11. Let a be s(x). Solve -3*w = 3*q - q + a, -2*w + 17 = -3*q for q. -5 Suppose -3*z = 5*k - 26, k + 6 = -2*k. Suppose -a = i - 4, i + 2*i - z = 2*a. Suppose -13*s + 0*s = 10*s. Solve 2*n + 4 = -2*n - 4*b, -i*b = s for n. -1 Suppose 8*v + 17*v - 200 = 0. Let g be v/68 + (-6)/51. Solve -3 = -2*s - d, -5*s + 10*s - d - 25 =
{ "pile_set_name": "DM Mathematics" }
-7*i**2 + 3151260 Let p(t) = -4*t - 203. Let h(r) = 2*r + 102. Let l(w) = 5*h(w) + 2*p(w). Let m(x) = -4*x. Calculate m(l(c)). -8*c - 416 Let o(a) = -36*a + 6. Let k(v) = -493 - v**2 + 493. Determine k(o(h)). -1296*h**2 + 432*h - 36 Let z(w) = -20*w**2 - 15*w**2 - 19*w**2 + 57*w**2. Let g(i) be the first derivative of 4 + 5*i**2 - 2 - 3 - i**2. Determine g(z(l)). 24*l**2 Let t(l) = -13*l - 23. Let s(o) = 31*o + 52. Let a(g) = 2*s(g) + 5*t(g). Let i(f) = -7*f**2. Calculate i(a(q)). -63*q**2 - 462*q - 847 Let d(n) = -4724*n + 9444*n - 4715*n. Let j(a) = 25*a**2 + 19*a**2 - 1 - 58*a**2. Determine d(j(x)). -70*x**2 - 5 Let l(x) be the third derivative of 13*x**5/60 - 1812*x**2 - 2*x. Let h(q) = 2*q**2 + 5*q. What is h(l(j))? 338*j**4 + 65*j**2 Let s(q) be the third derivative of 2*q**4/3 + q**2. Let r(x) = -3*x**2 + 3*x. Let a(t) = -76*t**2 + 78*t. Let b(v) = -6*a(v) + 156*r(v). Calculate s(b(u)). -192*u**2 Let l(m) = m. Suppose 0*y + 5*y - v = 50, 0 = -5*y - v + 50. Let h(b) be the first derivative of -7 + 4*b + 6*b + b**2 - y*b. Determine l(h(x)). 2*x Let x(z) = z**2. Let v(g) = -26*g - 136 + 64 + 69. Let a(i) = 26*i + 4. Let p(f) = -6*a(f) - 7*v(f). Determine p(x(o)). 26*o**2 - 3 Let x(k) = -2*k + 3413101 - 3413101. Let g(d) = 3*d**2 - 254*d + 1. What is g(x(j))? 12*j**2 + 508*j + 1 Let r be ((-258)/(-387))/((-2)/(-9)). Let m(j) be the second derivative of 0*j**2 + 0 - 16*j + 1/3*j**r. Let u(x) = 14*x. Give m(u(i)). 28*i Suppose 2*o - 2*o = -o. Suppose o = 5*t - 7*t + 4. Let j(h) = -7*h - 9*h**2 + 8*h**t + 7*h. Let v(s) = 3*s. Calculate v(j(g)). -3*g**2 Let p(z) = 2*z. Let x(h) = 21978*h**2 - 5*h - 20. Let u(o) = -54947*o**2 + 13*o + 52. Let y(m) = -10*u(m) - 26*x(m). What is y(p(v))? -87832*v**2 Let q(a) be the second derivative of a**4/3 - 372*a. Let s(c) = -2626*c. Determine q(s(u)). 27583504*u**2 Let b(g) be the second derivative of -g**4/12 - 5*g. Let p(u) = 4 - 963*u - 4 + 472*u + 488*u. Calculate p(b(w)). 3*w**2 Let i(f) = -2891*f**2 + 1385. Let x(h) = -h. Determine i(x(c)). -2891*c**2 + 1385 Let n(g) = -3381*g. Let x(u) = -89*u + 8. Let l(v) = 78*v - 7. Let i(a) = 8*l(a) + 7*x(a). Determine i(n(o)). -3381*o Let s(w) = 18*w - 17 - 12 - 11 + 36. Let g(r) = 2*r. Determine g(s(d)). 36*d - 8 Let u(z) be the second derivative of 0*z**2 + 2*z + 17/6*z**3 + 0. Let w(f) = -4*f. Let r(b) = -b. Let t(d) = -7*r(d) + 2*w(d). Calculate u(t(k)). -17*k Let p(y) = -1471*y**2. Let d(n) be the third derivative of -n**4/12 - 4*n**2 - 1045. Determine d(p(o)). 2942*o**2 Let c(p) = -9872*p. Let n(q) = -11936*q**2. Give c(n(m)). 117832192*m**2 Let x be (0 - (-9)/24)*1248/234. Let s(i) be the second derivative of 0 - 9*i + 0*i**x + 5/6*i**3. Let f(g) = -g. Give f(s(j)). -5*j Let c(d) = -941*d. Let i(f) = -27*f - 158. Determine i(c(q)). 25407*q - 158 Let b(n) = 12*n + 5*n - 8*n - 5*n. Let x(k) = 126*k. Let y(h) = 90*b(h) - 3*x(h). Let w(s) = -11*s**2. Determine w(y(r)). -3564*r**2 Let u(h) = 2*h**2 + 63. Let l(a) be the second derivative of a**4/12 + 229*a + 5. Calculate l(u(c)). 4*c**4 + 252*c**2 + 3969 Let v(p) = -2*p**2 + 902. Let j(m) = -111649*m. Determine j(v(w)). 223298*w**2 - 100707398 Let v(r) = 23*r. Suppose 0*b - 5*b - 33 = -3*o, -4*b - 29 = -5*o. Let u(q) = 20*q. Let a(y) = b*v(y) + 7*u(y). Let k(c) = 37*c**2. Calculate k(a(s)). 148*s**2 Let r(u) = -22*u. Let v(t) = -173*t. Let s(g) = 115*g + 1. Let i(q) = -3*s(q) - 2*v(q). Determine i(r(m)). -22*m - 3 Let y(j) = -267883*j. Let q(k) = 918*k. Give q(y(x)). -245916594*x Let l(r) = -19*r + 4. Let o(i) = 2968*i**2 - 2. What is l(o(t))? -56392*t**2 + 42 Let y(s) = -3*s + 4*s**2 + 3*s. Let b(u) be the third derivative of 19*u**4/24 - 26992*u**2. What is y(b(t))? 1444*t**2 Let v(b) be the third derivative of b**5/60 + 372*b**2. Let j(q) = -3317*q**2. What is v(j(u))? 11002489*u**4 Let y(v) = -4*v**2. Let d(t) = 87*t**2 - 16*t. Let r(x) = -x**2 - 8*x. Let c(h) = d(h) - 2*r(h). What is y(c(l))? -31684*l**4 Suppose 4*m = -3*y, 3*m = -y + 9 - 4. Suppose 0*o - 2*o - 4*c = -12, 2*o - 10 = -m*c. Let j(g) = 60*g**2 - 124*g**2 + 63*g**o. Let k(s) = 8*s. Give j(k(d)). -64*d**2 Suppose 16*q - 11*q = 110. Let a(v) = v - q*v + 19*v. Let c(u) = u**2 - 19. Give a(c(t)). -2*t**2 + 38 Let t(u) = 620*u. Let x(r) = 628*r**2 - 16*r. Give x(t(j)). 241403200*j**2 - 9920*j Suppose 0 = 41*d - 30982 - 5508. Let l(h) = h + d - 890. Let c(z) = -34*z. What is c(l(f))? -34*f Let z(k) = 143*k. Let m(c) = -29*c**2 + 39*c - 74. Give z(m(f)). -4147*f**2 + 5577*f - 10582 Let z(y) = -6*y + 175. Let l be z(24). Let a(d) = -77*d + 35*d + l*d. Let f(q) = 5*q**2. Calculate f(a(g)). 605*g**2 Let p(k) = -93865*k - 25 - 28 + 93919*k. Let f(o) = -o. Give p(f(b)). -54*b - 53 Let z(p) be the second derivative of -527*p**3/6 - 10*p - 35. Let b(d) = 4*d**2. Give z(b(m)). -2108*m**2 Let y(x) = 40*x**2. Let d(n) be the first derivative of n**4/24 + 37*n**2/2 + 4. Let q(k) be the second derivative of d(k). Give q(y(c)). 40*c**2 Let r(s) = -23*s. Let x(u) = -163*u - 2. Let g(j) = 8*r(j) - x(j). Let z(v) = -3*v**2. Calculate z(g(m)). -1323*m**2 + 252*m - 12 Let v(n) = n - 8. Let k(w) = -w + 5. Let l(p) = 8*k(p) + 5*v(p). Let m = -82 - -307. Let i(d) = -m*d**2 + 108*d**2 + 106*d**2. Determine l(i(y)). 33*y**2 Let s(h) = -3*h + 60. Let y(i) = -2*i + 67. Let p(r) = 4*s(r) - 5*y(r). Let n(x) be the third derivative of -x**5/30 + 14*x**2. Calculate p(n(v)). 4*v**2 - 95 Let v(h) be the third derivative of -7*h**4/8 - 2*h**3/3 - 24*h**2 - 3*h + 1. Let b(t) = t - 13. What is b(v(r))? -21*r - 17 Let g(q) = 461*q + 612. Let u(p) = p**2 + 88. Give g(u(c)). 461*c**2 + 41180 Let m(t) = 30*t**2 - 4. Let l(s) be the second derivative of -135*s - 1/6*s**4 + 0*s**2 + 0 + 0*s**3. Determine l(m(k)). -1800*k**4 + 480*k**2 - 32 Let k(y) = 4*y**2 + 11*y. Let w(a) = -240 + 8*a - 9*a + 240. Calculate k(w(o)). 4*o**2 - 11*o Let r(w) = -18360*w + 2. Let p(i) = 170*i**2. Calculate r(p(f)). -3121200*f**2 + 2 Let w(u) = 49*u**2 - 9*u**2 - 4*u**2 - 39*u**2 - 11*u**2. Let o(c) = -242*c**2. Determine w(o(q)). -819896*q**4 Let o(b) be the second derivative of 7*b**4/12 + 4*b. Let f(y) = -18*y - 6*y - 7*y + 15*y. What is o(f(k))? 1792*k**2 Let k(i) = 4*i + 54. Let g be k(-10). Let u(j) = 0 + 14 - 2*j - g + 3*j. Let y(z) = 8*z**2. What is u(y(v))? 8*v**2 Let y(d) = 17*d**2. Let j = 38 + -39. Let b be j/(-1) + 8 + -7. Let s(c) = 7*c - 19*c + c**b + 12*c. Determine y(s(w)). 17*w**4 Let n(s) = 2*s + 17. Let l(d) = -36*d - 324. Let z(k) = -2*l(k) - 39*n(k). Let c(m) = 5*m**2. Give z(c(h)). -30*h**2 - 15 Let m(u) = 1519396*u**2. Let s(t) = -11*t. Calculate s(m(p)). -16713356*p**2 Let l(g) be the third derivative of g**4/8 + 2*g**2. Let d(f) be the third derivative of f**5/10 - 142*f**2 - 2*f. Calculate d(l(j)). 54*j**2 Let g(d) = -220914*d**2. Let b(f) = -2*f**2. Determine g(b(m)). -883656*m**4 Let v(z) = 2*z**2. Let q(n) be the first derivative of 412*n**2 - 2*n - 3490. Give q(v(a)). 1648*a**2 - 2 Let w(t) be the first derivative of t**5/12 + 5*t**4/8 + 86*t**2 - 234. Let z(m) be the second derivative of w(m). Let x(g) = -g. Determine z(x(v)). 5*v**2 - 15*v Let v(b) = -2*b**2 + 305*b. Let j(q) = 15*q - 9*q - 10*q. Give j(v(i)). 8*i**2 - 1220*i Let t be 3/4*(4 + -3)*4. Let g(n) = 0 - 3 - 46*n + 0 + t. Let i(l) = -3*l. What is i(g(h))? 138*h Let j(t) = 53*t. Let g(x) be the third derivative of -x**5/15 + 5*x**2 + 67. Calculate j(g(l)). -212*l**2 Let v(a) = 28*a. Let i(k) = -93818*k. What is i(v(z))? -2626904*z Let v(x) = 98*x**2 - 10. Let m(l) be the second derivative of -3*l**3/2 - 489*l. What is v(m(q))? 7938*q**2 - 10 Let p(b) be the first derivative of 39*b**2 + 3. Let g(k) = -2*k + 15. Let a(i) = 6*i - 50. Let x(t) = -3*a(t) - 10*g(t). What is x(p(u))? 156*u Let y(w) = -2*w + 50 + 62 + 52 - 158 - 4*w. Let z(f) = f. Determine y(z(o)). -6*o + 6 Let b(p) = 156*p**2 + 427*p - 14. Let f(c) = c. What is b(f(g))? 156*g**2 + 427*g - 14 Suppose -2*t + 2316 = 4*i, 5820 = 5*t + 8*i - 4*i. Let c(h) = -3*h + 2335*h**2 - t*h**2 - 1175*h**2. Let d(n) = -4*n**2. Calculate c(d(a)). -128*a**4 + 12*a**2 Let f(l) = 431*l + 368*l - 801*l - l**2 - 22. Let x(o) = -3*o. Calculate f(x(p)). -9*p**2 + 6*p - 22 Let k(o) = o. Let b = 442 - 440. Let u(w) = -10*w**b - w**2 - 28*w**2. Calculate k(u(j)). -39*j**2 Let i(h
{ "pile_set_name": "DM Mathematics" }
h and 1 m. 5/18 Two letters picked without replacement from zzzzzctac. What is prob of picking 1 z and 1 t? 5/36 Calculate prob of picking 1 t, 1 y, and 1 c when three letters picked without replacement from ctymmgc. 2/35 Three letters picked without replacement from adjjaajalxalaajladl. What is prob of picking 2 l and 1 a? 16/323 Two letters picked without replacement from {h: 1, r: 1, u: 1, f: 2, m: 1, j: 2}. What is prob of picking 1 r and 1 u? 1/28 What is prob of picking 2 e when two letters picked without replacement from dvvvvxxxee? 1/45 What is prob of picking 1 i, 1 y, 1 q, and 1 s when four letters picked without replacement from swwsyiquq? 2/63 What is prob of picking 2 q and 1 w when three letters picked without replacement from {y: 8, q: 5, w: 2}? 4/91 Two letters picked without replacement from {l: 6, x: 3, k: 1, j: 7}. Give prob of picking 1 k and 1 j. 7/136 Calculate prob of picking 1 h and 1 e when two letters picked without replacement from ahdgedd. 1/21 Four letters picked without replacement from boypypmvb. Give prob of picking 1 o, 2 y, and 1 v. 1/126 Four letters picked without replacement from {v: 6, z: 2, j: 3, i: 3, f: 3}. Give prob of picking 3 j and 1 z. 1/1190 Calculate prob of picking 1 n, 1 k, and 1 h when three letters picked without replacement from {n: 1, k: 2, f: 1, u: 1, l: 2, h: 1}. 1/28 Three letters picked without replacement from {v: 3, k: 13}. Give prob of picking 2 k and 1 v. 117/280 Calculate prob of picking 1 r and 1 p when two letters picked without replacement from rpplrprrppprppprppr. 77/171 Two letters picked without replacement from {m: 1, g: 1, u: 1, k: 1, x: 1}. Give prob of picking 1 k and 1 x. 1/10 Four letters picked without replacement from {k: 9, p: 1, l: 2, g: 8}. Give prob of picking 2 l, 1 k, and 1 g. 24/1615 Two letters picked without replacement from zhzhahhhzhzhhaheh. Give prob of picking 2 h. 45/136 What is prob of picking 1 u, 1 e, and 1 y when three letters picked without replacement from eeeeiuyueieyyuz? 54/455 What is prob of picking 1 f, 1 i, and 1 o when three letters picked without replacement from fiixfoofpiig? 6/55 What is prob of picking 2 a and 1 f when three letters picked without replacement from {a: 2, n: 5, j: 5, f: 3}? 3/455 Two letters picked without replacement from {j: 4, m: 2, c: 3}. What is prob of picking 2 m? 1/36 Three letters picked without replacement from {h: 2, b: 5, u: 1, i: 1, s: 3}. Give prob of picking 1 s and 2 h. 3/220 Two letters picked without replacement from ozzzooiayyoa. Give prob of picking 1 z and 1 o. 2/11 What is prob of picking 2 k and 2 a when four letters picked without replacement from aakkkk? 2/5 Four letters picked without replacement from tsstktvwvv. Give prob of picking 1 w, 1 t, and 2 v. 3/70 What is prob of picking 1 w and 1 l when two letters picked without replacement from {r: 2, w: 1, q: 1, l: 3}? 1/7 Calculate prob of picking 3 o when three letters picked without replacement from zqoozoqz. 1/56 What is prob of picking 1 u and 2 w when three letters picked without replacement from wuuw? 1/2 Four letters picked without replacement from qqvqaqhhhhhhhhhhv. What is prob of picking 1 a, 1 h, and 2 q? 3/119 Two letters picked without replacement from jbeeejwbejeeewe. What is prob of picking 1 w and 1 e? 16/105 Calculate prob of picking 4 f when four letters picked without replacement from {c: 2, f: 5, w: 5, b: 3}. 1/273 What is prob of picking 2 c and 2 s when four letters picked without replacement from {d: 2, c: 5, s: 6}? 30/143 What is prob of picking 2 r and 1 g when three letters picked without replacement from rsginrg? 2/35 Two letters picked without replacement from xbbbvvbbbmmbxxb. Give prob of picking 1 m and 1 v. 4/105 Three letters picked without replacement from {r: 2, o: 7, c: 3}. Give prob of picking 2 o and 1 c. 63/220 Three letters picked without replacement from ttrrnqxq. What is prob of picking 2 r and 1 n? 1/56 Two letters picked without replacement from {z: 3, x: 1, q: 2, o: 1, t: 3}. What is prob of picking 2 z? 1/15 Two letters picked without replacement from ffeucfh. Give prob of picking 1 u and 1 f. 1/7 What is prob of picking 1 v, 1 a, 1 j, and 1 x when four letters picked without replacement from {v: 1, a: 1, x: 1, u: 1, j: 1}? 1/5 What is prob of picking 3 r when three letters picked without replacement from {a: 2, r: 2}? 0 Two letters picked without replacement from qqcqccee. What is prob of picking 2 q? 3/28 Four letters picked without replacement from {h: 2, r: 1, u: 1, j: 1, m: 7, z: 2}. What is prob of picking 2 h, 1 r, and 1 m? 1/143 What is prob of picking 4 o when four letters picked without replacement from {i: 4, d: 3, o: 4}? 1/330 Calculate prob of picking 2 a, 1 b, and 1 q when four letters picked without replacement from qbaqa. 2/5 Four letters picked without replacement from vvnvvvnnnvvnvnnvvnn. Give prob of picking 4 v. 35/646 Two letters picked without replacement from {f: 9, d: 3, e: 4}. Give prob of picking 2 f. 3/10 Two letters picked without replacement from xfxwwwxxwxxwwwfwxixx. Give prob of picking 1 f and 1 i. 1/95 Three letters picked without replacement from gggsggggcgcgsgsgg. Give prob of picking 1 g and 2 c. 3/170 Four letters picked without replacement from {n: 1, l: 5, k: 6, i: 3}. What is prob of picking 4 l? 1/273 Calculate prob of picking 2 p and 1 e when three letters picked without replacement from jyypyypyyeyyyyey. 1/280 Two letters picked without replacement from tytyttkkytkytk. What is prob of picking 2 y? 6/91 Two letters picked without replacement from {i: 3, u: 7}. Give prob of picking 1 i and 1 u. 7/15 Three letters picked without replacement from frrrurf. What is prob of picking 1 u, 1 r, and 1 f? 8/35 What is prob of picking 1 k, 1 w, and 1 i when three letters picked without replacement from {w: 5, i: 8, k: 4}? 4/17 Calculate prob of picking 1 j, 1 p, and 1 m when three letters picked without replacement from mmmmbbpj. 1/14 What is prob of picking 1 o and 2 q when three letters picked without replacement from {r: 6, o: 2, q: 10}? 15/136 What is prob of picking 1 s, 1 m, and 1 x when three letters picked without replacement from {m: 1, s: 4, x: 5}? 1/6 Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {i: 1, w: 14}. 2/15 Two letters picked without replacement from ffgffbfmj. What is prob of picking 1 g and 1 j? 1/36 Calculate prob of picking 1 i and 3 b when four letters picked without replacement from {f: 5, b: 3, i: 3}. 1/110 Four letters picked without replacement from nsnmmssmmmmmmmsvvmmm. What is prob of picking 3 s and 1 n? 8/4845 Three letters picked without replacement from yymtymtyy. What is prob of picking 1 m and 2 y? 5/21 Three letters picked without replacement from {x: 6, i: 3, g: 2, a: 2}. What is prob of picking 2 a and 1 i? 3/286 Calculate prob of picking 1 i, 2 v, and 1 q when four letters picked without replacement from vhhhhvihhviqv. 12/715 Two letters picked without replacement from {c: 5, d: 1, j: 3, t: 5, m: 6}. What is prob of picking 2 m? 3/38 What is prob of picking 1 l and 2 q when three letters picked without replacement from lqqqqlllqq? 1/2 Calculate prob of picking 1 c and 1 s when two letters picked without replacement from qislc. 1/10 Four letters picked without replacement from {n: 1, m: 6, s: 1, x: 1}. What is prob of picking 4 m? 5/42 Calculate prob of picking 1 y and 2 q when three letters picked without replacement from yyywwewwqyrjjwyqyw. 1/136 Three letters picked without replacement from fxffllxfxs. Give prob of picking 1 x, 1 f, and 1 l. 1/5 Three letters picked without replacement from mmmeeemf. Give prob of picking 1 f and 2 m. 3/28 Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {n: 2, q: 1, v: 2}. 2/5 What is prob of picking 1 h and 1 s when two letters picked without replacement from shshhshhhhhshhhhshh? 70/171 Two letters picked without replacement from vvpggnngvpipigiiii. What is prob of picking 2 p? 1/51 Calculate prob of picking 1 o and 3 l when four letters picked without replacement from looloooololl. 14/99 Calculate prob of picking 3 x when three letters picked without replacement from {w: 2, x: 7}. 5/12 Calculate prob of picking 1 m
{ "pile_set_name": "DM Mathematics" }
- (5 + 18)) + (17 - (15 - 7)) -1 What is the value of -22 + (42 + -13 - -16)? 23 21 - ((10 - 15) + 0 + -4) 30 What is (24 - (10 - (8 + 0)) - 9) + -11? 2 Calculate 11 + 0 - 23 - -11. -1 What is 12 + 7 - ((1 - 3 - -7) + -2)? 16 (-6 - 11 - -6) + 2 - -2 -7 What is the value of -1 - 2 - (3 + (-31 - -13))? 12 (60 - 51) + -20 + 3 - -17 9 31 + -61 + 23 + 24 + -2 + 1 16 What is -9 - (-2 + -5 - (-7 + (14 - 7)))? -2 Calculate -35 - (-24 + 15) - -15. -11 Calculate 24 - (-26 - -80) - -7. -23 Evaluate -9 - (64 - 36 - 12). -25 Evaluate -10 + 21 + 1 + (4 - -4). 20 What is (3 - 19) + -5 + 15? -6 What is -18 + 5 - (17 + (-62 - 0))? 32 What is the value of (580 - 564) + -2 + (-2 - 17)? -5 Evaluate (-12 - ((7 - 2) + -23)) + 0. 6 What is (137 - 98) + 6 + -21? 24 What is 71 + -52 - (4 - -2)? 13 What is -12 + 6 - (-1 - 1 - 4 - 1)? 1 Evaluate 0 - 12 - -1 - -1. -10 Evaluate 4 + 4 - (3 + 9). -4 What is (171 - 163) + 0 + -9? -1 What is the value of (-1 - (3 + 2)) + (5 - 2)? -3 Calculate (2 - 4) + 1 + 1 + 5 + 4. 9 Evaluate -9 + (8 + -13 + 6 - (5 + -15)). 2 -18 - (-2 + -18) - -17 19 Evaluate (18 - (-16 - (4 - 37))) + 21. 22 What is 0 - ((-3 - -8) + 6)? -11 17 + (1 - (35 + -19)) 2 Calculate 0 + -4 + -5 + -16 + 23. -2 Evaluate (-2 - -5) + (3 - 18 - -3). -9 (2 - 11) + (5 - ((-14 - -7) + 18)) -15 What is (2 + -2 - -7) + (6 - (-1 - -7))? 7 Evaluate -17 - (-40 + -2 + -1). 26 Calculate 16 + (-9 - -18) + (4 + -13 - 6). 10 What is the value of 20 - 0 - ((-24 - 23) + 43)? 24 -11 + (7 - 13) + 9 -8 What is 19 + -2 + 0 + (-2734 - -2746)? 29 Calculate 2 + -25 + -46 + 60. -9 Evaluate 2 - (-29 + 2 - (-38 - -32)). 23 What is 1 + -8 - (-3 - -17 - 11)? -10 What is the value of (0 - -9 - 5) + -1 + -3? 0 9 + 15 + -12 + -5 + 8 + 0 15 Calculate 6 - (12 + (14 - 5)). -15 -10 - -31 - (-15 + (-7 - (3 - 19))) 27 What is the value of (2 - ((-5 - 0) + (68 - 67))) + -31? -25 What is 42 - 61 - 27 - -80? 34 What is -1 - (2 + -5) - (9 + (-1 - 0))? -6 What is (-28 - 39) + 19 - -26? -22 -35 - (-44 - (-4 + -22)) -17 Calculate 1 + -6 + 18 + -14. -1 Calculate 14 - (33 - 3 - 18). 2 What is the value of 10 + -11 + 18 + -7 + 15 + -5? 20 What is the value of -23 + (33 - 10) + 31? 31 Evaluate 3 + (-9 - (-1 + -16)) + -14 - -5. 2 Calculate 53 - (-34 + 63) - 31. -7 Evaluate (2 - 17) + (12 - (7 + 5) - 2). -17 Evaluate -22 + 6 + 2 - 1. -15 What is the value of -5 + 31 + -14 + -22? -10 What is (5 - 14) + (-46 - -64)? 9 (-19 - -2) + 27 + (23 - 43) -10 What is the value of 23 - (16 - (-9 + -8))? -10 8 - 0 - 28 - -15 -5 Evaluate 5 - (-6 - (-5 + -1) - (-2 + -2)). 1 Evaluate (-24 - 26 - -11) + 31. -8 Evaluate (0 - (-1 + 21 - -1)) + 1158 + -1150. -13 Evaluate -1 + (7 - 2) + -1 - (44 + -40). -1 Calculate -30 - -1 - -2 - (-381 - -368). -14 Evaluate -21 - (1 + 0) - ((-19 - -60) + -37). -26 Evaluate 8 + (-19 - (-18 - -35 - 50)). 22 Evaluate (0 - 25) + (117 - 99). -7 Evaluate 5 + -5 - (1 - (-3 - (-7 + 0))). 3 Evaluate -12 + -6 - (-34 - -7). 9 What is the value of 16 - (-40 - -21) - 25? 10 What is the value of (-10 - -18) + -11 + 1? -2 What is the value of -18 + 4 - (4 - 14)? -4 Evaluate (-1 - (10 - -1 - (66 + -56))) + 25. 23 Calculate (13 + -8 - -7) + -4. 8 Evaluate 4 + 1 + -6 + (2 - -6) + -1. 6 What is the value of 14 + (-55 - (-16 - -7 - -5))? -37 -13 - (13 + -3) - (5 - 10 - -7) -25 Calculate (-3 - -8) + 14 + -4. 15 -3 + -4 + 8 + (-13 - -10) -2 Evaluate (3 - -5 - 15) + 13 + -2 + -1. 3 19 + 2 + (-49 - -47) 19 What is 21 - ((16 - -8) + -16)? 13 What is the value of (12 - 12) + (6 - (20 + -1))? -13 -30 - (8 + -6 - 11) -21 What is (2 - (-8 + 1)) + (168 - 170)? 7 What is the value of -5 - (-20 - (-6 + 7)) - (11 - 5)? 10 Evaluate -22 + 18 + -18 + (0 - 4). -26 What is the value of -12 + (-14 - (10 + 8 + -22))? -22 Calculate (-1 - 27) + 200 + -182. -10 What is the value of -2 + 1 + 11 + (-29 - -19)? 0 What is 13 + 4 + -13 - (3 - (-6 + 10))? 5 Evaluate -16 + 18 - (-4 + 7 - (2 - 1)). 0 Calculate -49 + 32 + 44 - 11. 16 2 + 1 + -12 - (-27 - (-5 - -5)) 18 Calculate -18 - ((33 - 93) + 39). 3 What is the value of -9 + (-7 - (-10 - -8 - 5))? -9 Evaluate -8 + (4 - -5) + (4 - -6). 11 What is the value of 14 + -14 + 4 + 5? 9 (2 - 5) + (1 - (4 + -10)) 4 What is -4 + -21 + 10 + 4? -11 -43 + 52 - (0 - (-19 - 3)) -13 What is -9 + 5 + -5 + 2? -7 What is the value of (3 - (8 - -4)) + -6 - 0? -15 What is (54 + -70 - (-1 + -8)) + 5? -2 What is (-4003 - -3995) + (8 - 1 - 1)? -2 Calculate -3 - (13 + -22) - (-1 + 14). -7 Evaluate 5 + 5 + (3 - 3). 10 Calculate 46 + 70 + -131 + 2 + -2. -15 What is 15 - (-7 - (6 + 0 + (-34 - -16)))? 10 What is 1 - (2 + -7 + (2 - -5 - -2))? -3 What is the value of -18 - ((-3 - 0) + -2) - (6 + -13)? -6 Calculate -5 + -3 + (-12 - (6 + -8)) + 3. -15 What is the value of (-14 - -66 - 53) + 25 + 1? 25 What is the value of (4 - -2) + (-6 - -17 - (27 - 7))? -3 Calculate 10 + (-9 + 16 - (-5 - (-5 + -5))). 12 Evaluate -2 - (8 + 1) - (-5 - (2 + -4)). -8 4 - (-6 - (2 + 3 + -28)) - 4 -17 Evaluate 10 + -29 - (36 - 56). 1 What is (-9 - ((-22 - -11) + 8 - 9)) + -41? -38 Calculate (-2 - (-6 + -24)) + -50. -22 What is the value of ((2 - -6) + -7 + 10 - 11) + 22? 22 Evaluate -40 + (42 - (25 + 3)). -26 (12 + 9 - 13) + -2 6 What is the value of 6 + (-19 + 28 + -20 - (-1 - 3))? -1 -8 - -31 - (-12 - -38) -3 56 - 28 - 5 - (0 + -3) 26 Evaluate 0 - 20 - (-6 + 9 - 10). -13 What is the value of 0 + -1 - ((13 - 13) + -11 - -9)? 1 What is (11 - 10 - 5) + (-1 - -16) - -8? 19 Calculate (-4 - (-21 - -14)) + (-1 - 3). -1 Calculate -13 - (-6 + 8 + -6 + 5). -14 Evaluate -2 + -3 - (6 + -6 + 10 + -10). -5 What is the value of 4 - 15 - (-189 - -163)? 15 Calculate -17 + 5 - (-3 + (-7 + 3 - -4)). -9 -4 + 0 + 5 + 1 + -1 1 What is the value of (-20 - (3 + -11)) + 12? 0 Evaluate -4 + -9 + 11 + 12 + 6. 16 What is the value of (-1 - (2 - 3)) + (-163 - -164)? 1 Calculate (-14 - 1) + (488 - 455). 18 -14 - (18 + -57 - -13) 12 Evaluate 17 - (7 - (-2 + 9 - 8)). 9 What is 0 - 16 - (9 + 10 + -17)? -18 What is the value of 8 + 1 - (991 + -996)? 14 What is the value of -29 - (5 - 43) - 1? 8 Calculate (-7 + (-1 - -3) - -6) + -4. -3 What is (-1 - (-12 + 8)) + -17 - (-6 + 0)? -8 Calculate -1 + 4 + (5 - -14 - 8). 14 What is the value of (-1 + -6 - -2) + -2 - -8? 1 -11 + -2 + (-8 - (-37 + 20)) -4 Evaluate 353 + -365 + (5 - 1). -8 Evaluate 15 + (1 + -8 + -1 - (-49 + 37)). 19 Calculate 17 + (-10 - -11) + -6 - -5. 17 Evaluate (-54 - -34) + 1 + 0 + 5 + -4. -18 Evaluate 24 + 56 + -33 - 12. 35 Calculate (-21 - -15) + (0 - 2) + 25. 17 What is the value of 18 + 4 + -24 - (-6 + 1)? 3 Evaluate -14 - -12 - 22 - (5 + 3). -32 What is -12 + 2 + 396 + -387? -1 Evaluate -34 + 13 + -1 - -8. -14 (7 - 11) + -3 + 4 + -3 + 10 4 Calculate 8 - ((-26 - 3) + 46). -9 Calculate -34 + 2 - (-464 + 395). 37 Calculate 2 + (0 - -8) + -8 + -9. -7 Calculate -10 + (10 - 6) - -13 - (5 - -1). 1 What is the value of -1340 + 1292 - (1 - 62)? 13 What is the value of (39 - 60 - -39) + 10 + -1 + 0? 27 Calculate 0 + -10 - -14 - (0 - -1 - 4). 7 (-1 - 11) + 1 + (85 - 42) 32 -9 - (-3 - (-25 + 11 + -11) - -5) -36 Evaluate -1 + -7 + -9 + -1. -18 Evaluate -2 + 3 + (-1 - 4) + (60 - 45). 11 What is 5 - (-2 + 3) - (-60 + 31 - -55)? -22 Calculate 5 + (1 - 10 - 6) - -6. -4 What is 2 + 9 + (-7 - (5 - 8))? 7 Calculate 8 + -16 + -23 + (6 - 3). -28 What is -1 + -3 - (-14 - -6) - (20 + -8)? -8 (628 - 681) + (17 - 0) + 1 -35 What is 3 - (-3 - (0 - (8 - 15)))? 13 Calculate -9 - -1 - (-10 + 7 + 8 - 9). -4 What is the value of 10 + (-1 - -7) + 16 + -14 + -9? 9 What is 5 + 4 + -21 + -3 + -5? -20 What is (0 - (-48 - -49 - (-1 + 8))) + -11? -5 What is 13 - (9 + -2) - (1 - 3 - 7)? 15 What is (11 - 7) + -2 + 0 + (1 - 4)? -1 Evaluate -7 + 14 + -11 + (10 - 12). -6 (-12 - 1) + (-12 - -23) - -25 23 What is the value of -37 + (38 - -42) + -5? 38 28 - (-9 - 9 - -10 - -18) 18 Calculate 5 + -20 - (-41 + 3). 23 What is the value of 32 + (-5 - -1) + -306 + 300? 22 What is -528 + 532 - (7 + -2 + -1)? 0 (-8 + -14 + 13 - 8) + 51 34 Calculate 7 - (-30 + 41 + (-17 - (-4 + -1))). 8 What is the value of -1 + -4 + (8 - (4 + 3)) + -12? -16 0 + (1 - 1) + 15 + -1 + 0 14 -5 - (-6 + (2 - 0) + -24 + 32) -9 13 + -8 + (-2 - 2) 1 Evaluate (-8 - (-4 + 6)) + (-19 - -34). 5 What is (3 - -3 - 2 - -7) + 5 + -6? 10 Calculate 13 - (-5 - 11 - -17). 12 What is -17 - 4 - -4 - 3 - (6 -
{ "pile_set_name": "DM Mathematics" }
of b**6/120 + b**5/10 + b**3/6 - b**2. Let o be s(i). Solve -2*n + o = 4*z - 1, 2*n = -10 for z. 3 Let a(z) = -5*z**3 + 2*z**2 - 24*z - 26. Let k be a(-1). Solve 0 = 2*n + 5*i - k, n - 18*i + 8 = -17*i for n. -5 Suppose -3*p - 5*f = 8, -3*f = -p + 5*p + 29. Let j = p - -9. Let i be 17 - -1 - (j - -4). Solve -5*c - 25 = 4*x, -i = 3*x + 3*c + 2 for x. -5 Let l = 31 - 27. Solve -5*p = -3*k - l, 0 = -0*p - 2*p + 3*k + 7 for p. -1 Let a be 8 + -4 + -6*1. Let l be 3 - (a + -2 - -4). Solve -y - 2*g = -4*y, 0 = -3*y + l*g - 3 for y. 2 Suppose -k + 2*h = 5*h - 1, -4 = -2*k - 4*h. Solve k*n = u - 2, 2*u - 6*u - 7 = -n for u. -2 Suppose -4*k + 33 = -5*h, 0 = 6*h - 4*h + 10. Solve 0 = 5*j - 4*i + 26, -5*j = i + k + 4 for j. -2 Let w(y) = y**2 + y - 2. Let c be w(-3). Suppose 0 = -3*x + c*x. Suppose x = -4*d + 9 - 1. Solve 2*b + 0 = -r - d, 3*b = r + 2 for b. 0 Suppose 5*j + o = 6 + 6, 5*j - 14 = -2*o. Suppose -s - 11 = 4*v, -4*s + v = -j*v + 63. Let a be 9/(-2)*10/s. Solve k - c = 7, 4*k - 16 = -c - a for k. 4 Suppose 318*r - 24 = 310*r. Solve -s = -4*x - 9, 0 = -r*x - x + 4*s - 24 for x. -1 Suppose 6*d = 3*d - 6. Let k be (-1 - d)/(1/(-1)). Let a be 15/(-2 + -1)*k. Solve 5*c + 5*l + 25 = 0, -a*c + 5*l - 11 = -c for c. -4 Let u = 4 - -1. Suppose -3*z - z + 3*h = -6, 5*z - u = 5*h. Suppose 5 + 0 = v. Solve -4*l = 3*c - 24, -3*c = v*l - 6*c - z for l. 3 Suppose 0 = 4*i + 8, -5*k = -i + 33. Let a be (k + 1)*(-7)/14. Let h be 0 + -1 + 4/1. Solve 5*j = 5*r, h*r - a*j + j + 5 = 0 for r. -5 Suppose -4*l = -k - k + 22, -3*l - 6 = 2*k. Suppose -4*c + 115 = k*s, s - 130 = 5*c - 10*c. Solve -4*i - 11 = -q, -c = 4*q + q for i. -4 Suppose -11*r + 9*r = -5*s + 22, -3*s - 4*r = -8. Solve 2*p - 2 = 0, -s*t + 0*t + 21 = p for t. 5 Suppose -3*x = l + 9 - 0, 0 = 4*l - 3*x + 81. Let b be (2/(-4))/((-4)/(-120)). Let z = b - l. Solve -3*d + z = h, 2*h = -h + 5*d - 19 for h. -3 Suppose -3*x + 6 = -x. Solve 2*d - n + 14 = 0, -23 = 5*d - x*n + 14 for d. -5 Suppose 5*d = u - 28, 5*d - 24 = -5*u - 34. Solve 4*h - 27 = -u*f, -5*f - 6*h + 34 = -3*h for f. 5 Let c = 2903 + -2901. Solve -5*a + 4*a = -c*g + 15, -5*a - 15 = 2*g for a. -5 Let j = 46 - 25. Let r = j - 12. Let m = r - 9. Solve -5*q + 0*n - n + 25 = m, q + 11 = 3*n for q. 4 Let t be (-88)/(-18) + 102/(-54) + 2. Solve -v - v + b = 7, -t*b = -4*v - 17 for v. -3 Let x be 10/75 - (-116)/30. Suppose -4*b + 2*v = x*v, 3*b + 2*v = 0. Solve 2*o - 10 = -2*j, -14 + b = -4*j - o for j. 3 Suppose 0*b + 15 = 5*b - 3*i, -2*b + 2*i = -10. Suppose b = -25*q + 29*q - 4. Solve -w + 3*o + 3 = q, 0 = -w + o + 4 for w. 5 Suppose 0 = 5*j + 11 - 31. Suppose j*o + 4 = 4*l, -4*l + 4*o + 2 = -o. Solve m = 4*h + l*m + 6, 2*h = 5*m + 15 for h. 0 Let j = -61 - -85. Let q be -5*(j/10)/(-4). Let a be (-180)/(-50) - (-2)/5. Solve -3*o - q = -0*o, 0 = -d + a*o - 1 for d. -5 Suppose 8 = -2*u - 3*b, 9*u - 4*b - 10 = 12*u. Solve 2*m = 5*p + 20, m - 11 = -2*p - u*m for p. -2 Let v be 5 - ((-68)/16 - -3)*-4. Solve 5*y = 2*u - 2 - 7, v = 2*y + 2 for u. 2 Let x(u) = -u**2 + 7*u - 2. Let b be x(6). Suppose -3*o = -4*c + 33, 2*c + 3*o - 42 = -3. Solve -b*t = -r + c, 5*r + 12 = 2*t - 6*t for r. 0 Let n be (-4 + 5)*-3 + -2 + 0. Let i be ((-9)/(-15) + 18/n)/(-1). Solve -5*d - 30 = -5*r, -2*r = -i*d + 3*r - 22 for d. -4 Let k = -308 + 313. Let g(p) = 3*p - 3. Let r be g(2). Solve -r = 5*d + 2*z - k, -5*d + 5*z = 5 for d. 0 Suppose -12 = 192*o - 196*o. Let g(v) = -v**2 + 4*v + 3. Let s be g(3). Suppose s*b - b = 20. Solve -o*c = z + 3, -4*z = -c - b*c - 22 for c. -2 Let i(h) = 3*h**2 - h - 4. Let g be i(3). Suppose -2*x + 10 = t, g = -4*t - 0*x + 4*x. Solve 0 = m - t*m, -5*m + 2 = l for l. 2 Suppose 2*o = -3*g + 13, -4*o - 4 = -5*g + 3. Solve -2*v + 14 = -4*b, -b - 8 = g*b - 4*v for b. -5 Let m(g) = -g**3 + 11*g**2 - 17*g + 14. Let u be m(9). Solve -2*y - 2*j = j + u, -y = 3*j + 19 for y. -4 Let x be (-13)/(-5) + -9*8/(-180). Solve 3*d + 3 = -s + 1, x*s = -5*d - 2 for s. 1 Let r(n) = 106*n + 640. Let l be r(-6). Solve -4*g + 5*b - 11 = -42, 0 = l*b + 12 for g. 4 Let t(q) = 8*q + 2. Let i be t(10). Suppose 4*n - i = -3*x, 0*n + 76 = 3*n - 5*x. Solve a + 6 = 1, 0 = y + 4*a + n for y. -2 Let f(z) = 3*z + 97. Let p be f(-31). Solve -s + 5 = -4*s + 2*i, -p*s - 4*i - 40 = 0 for s. -5 Let j(w) = -2*w**2 - 7*w + 4. Let a be j(-4). Solve 2*l = -2*l + 5*n, a = 4*l + 4*n + 36 for l. -5 Suppose -111*i + 105*i + 30 = 0. Solve j + 3 = -1, i*p = -5*j - 30 for p. -2 Let z(f) = -f - 3. Let j be z(-5). Let q be (0 - -2 - 0)*(-87 + 88). Solve -q*t = u - 14, -6 = -4*u + j*t - 0*t for u. 4 Let n = 39 - 35. Let c(a) = -4*a**3 + a**2 + 3*a + 2. Let i be c(-1). Suppose 6*p = 8*p - i. Solve -p = -t, -n*w + 0*w = -5*t + 2 for w. 2 Suppose -4*d + 10 = -2*d. Suppose -5*u - 9*u + 56 = 0. Solve 4*a + 4 = u*r, -r + 0 = d*a - 7 for a. 1 Suppose 0 = -2*x - x. Suppose k - 3 = -x. Solve 0 = 5*j + k*s - 4*s + 13, 0 = -5*j + 2*s - 16 for j. -2 Let x be 12/28 + (-75)/(-21). Suppose -c + 3*l = -l - 21, 0 = x*c - l - 24. Solve -2*t - 1 = -c*o + 2*t, 4*o - 3*t = 0 for o. -3 Let c(j) = -j**3 - 33*j**2 + 71*j + 55. Let s be c(-35). Solve -f + 9 = -x, 0 = -2*f - 3*f + s for x. -5 Suppose -q = -2*q + 2, 2*q - 10 = -3*c. Solve -3*x + 7*x - 28 = -2*o, -c*x = 4*o - 26 for x. 5 Suppose 40 = -101*d + 111*d. Solve -f = -4*z + 1, f + 3*f = -d*z + 16 for z. 1 Let f(l) = l**3 - 29*l**2 - 60*l - 57. Let t be f(31). Solve r + 4*o = -0*o - 17, 0 = r + o + t for r. -1 Let m be 32/40*15/6. Solve -5*s - 6 = -3*r, -3*r + 8*r - 10 = m*s for s. 0 Suppose -s + u - 1 = 0, 0 = 3*s + 5*u - u - 32. Let p(q) = 3*q + 65. Let h be p(-20). Solve -s*a + 4*l = -2*a + 18, -2*l = h*a - 3 for a. -1 Suppose -6*u + 53 + 25 = 0. Let b(z) = -3*z + 41. Let d be b(u). Solve -c + 2*k = -12, -2*k = d*c - 2 + 8 for c. 2 Let g = -19 + 23. Suppose g*a - 3*d - 19 = 0, -2*a - d = 3*d - 4. Solve 20 = n - 5*w, -2*w = a*n - 0*w + 8 for n. 0 Let i be -3 - ((-1)/6 + 578/(-204)). Solve y = -2*y, i = z - 5*y - 1 for z. 1 Suppose 0 = 3*u - 0*u - 12. Let x = -3 - -3. Suppose 20 = -x*y + 5*y. Solve 2*s + s = -c - 16, y*c = -u*s - 24 for c. -1 Let h = -270 - -272. Solve 3*v + 5 = -5*a, -2*v = -0*v - 2*a - h for v. 0 Suppose -15 = -11*q + 6*q - 3*t, 0 = -4*q + 2*t + 12. Suppose -5*l - 4*f = 1, -5*f + 2*f = q*l + 3. Solve -3*k + l*j - 5 - 1 = 0, 0 = -4*k - 3*j + 6 for k. 0 Let t(h) = -h**3 - 30*h**2 + 33*h + 63. Let w be t(-31). Solve -5*d + 0*f + 1 = 4*f, 0 = -3*d - 4*f - w for d. 1 Let f = 2425 + -2421. Solve -3*g - 4*c = -7, -4*c = f*g - c for g. -3 Let w(k) = 60*k - 1076. Let n be w(18). Solve 4*b + b = -n*d, -3*b + 37 = -5*d for b. 4 Let d = 21 + -17. Suppose 0 = 4*r + 12 - d. Let n be r - (0 - -2)*-2. Solve -5*l - 4 = -2*x, -n*l - x + 2 + 0 = 0 for l. 0 Let b be (1 - (0 + 1))/(-17 - -18). Suppose -4 = 2*n - 4*n + 5*j, 4*j = 3*n - 6. Suppose -a = -b*a - n. Solve 3 = v + a*z, -9 = -v + 6*v - 2*z for v. -1 Suppose 20 = 15*v - 14*v. Solve 5*j - x = -v, -j + 5*x = -0*j - 20 for j. -5 Let t be (-1 - -17)*(1 - 0). Suppose 4*c = 7*x - 2*x + t, 4*x - 8 = -2*c. Suppose -c = h - 6. Solve 3*q + h*f = -0*q - 5, -3*q - f = 7 for q. -3 Let c = -52 + 52. Solve c = 3*j - l + 2, 3*l + 9 = -3 for j. -2 Let k = -2892 + 2919. Let o be (-7 + 4)*2/(-3). Solve -2 = 5*s + o*c + 3, 4*s - 3*c + k = 0 for s. -3 Let x = 53 - 50. Suppose -3*o + 6 = -0*o. Suppose -o*k = -k. Solve 4*u - 4*n + 4 = k, x*n - 8 = -2*u + 15 for u. 4 Let c(z) = 6*z - 30. Let d be c(5). Let l(r) = r**3 + 4*r**2 - 4*r + 12. Let n be l(-5). Solve d = -3*f + 2*p - 14, n*f + 17 = 3*f + p for f. -4 Let h = -115 - -135. Solve h = 4*d, -b + 14 = d + 6 for b. 3 Let d(l) = -17*l. Let o be d(1). Let t = -12 - o. Let x = 729 + -726. Solve -t*v = 2*u + 33, 3*u - x = 2*v + v for v. -5 Suppose -k + 4 = 2*v, -3 = 3*v - 5*k - 35. Solve -5*y - p - 1 = 3*p, -v*y - 6 = -2*p for y. -1 Let s be -2 - (-9 - (-1)/(-1)). Solve -5*n + 10 = -0*z + 4*z, s = -4*n for z. 5 Suppose -4*y - 217 = -6*z + 3*z, 3*z = 9. Let q be y/(-4) - 8/(1 + 3). Solve 5*t + a + 24 = 0, a = 3*t - t + q for t. -5 Suppose -4*d + 0*d = -68. Let n = d - 12. Suppose -3*s - 4*w = 2, -s - w = -n*s + 10. Solve -s*p - 3*p = 2*k - 5, 20 = 4*k for p. -1 Suppose 0 = -189*l + 179*l + 30. Solve 17 = 3*y + l*t + t, 0 = 3*y - 3*t - 3 for y. 3 Suppose -8 = -5*a + a. Suppose -26*l +
{ "pile_set_name": "DM Mathematics" }
z) = -z**3 + 6*z**2 - 6*z + 3. Let n be d(5). Let r = 4 + -3. Let q be (0 + n + r)*-5. Solve q*u + 4 - 9 = 0 for u. 1 Suppose -4*h = -o - o - 14, 4*h = -4*o - 4. Solve x = -h*x for x. 0 Let u(s) = 7*s**2 + 3*s - 1. Let g be u(1). Solve 0 = -5*v - g - 16 for v. -5 Suppose -3*n = 4*l - 4, n = 2*l - 4*l + 4. Solve -l*z = -9*z - 5 for z. -1 Let h(j) = -2*j**2 - 12*j + 4. Let s be h(-6). Let k be (-45)/(-6) + 2/s. Solve k = -0*u + 4*u for u. 2 Let a be (-2)/6 - 4/(-12). Let v = 2 + a. Suppose 2*l + 5*q = l - 16, v*l + 8 = -4*q. Solve 0 = o + 1 - l for o. 3 Let d(h) = -h**3 + 15*h**2 + 3*h + 5. Let s be d(15). Suppose 5*m + 15 = s. Solve 0 = -m*o + 2*o for o. 0 Let i = 12 + -5. Let t(l) = -l**2 + 7*l + 4. Let u be t(i). Solve u = 6*y - 5*y for y. 4 Let k(g) = -g + 13. Let v be 2 - 33/(6/(-2)). Let s be k(v). Solve b + 4*b - 5 = s for b. 1 Let y be (-2)/(-5) - 96/(-60). Suppose j + y = 3. Solve 2*x - x = j for x. 1 Suppose 11*z - 6*z = -9*z. Solve z - 4 = 4*b for b. -1 Let a = -35 + 40. Solve -a = -5*s - 0 for s. 1 Suppose 2*n = -4*j - n + 15, 3*j + 4*n - 13 = 0. Let w be j/(-4) - (-225)/60. Solve 28 = -5*k + w for k. -5 Suppose 0 = -5*j + 40 + 35. Solve -l + j = 2*l for l. 5 Let i(g) = -g - 1. Let t be i(-1). Suppose t*n + 45 = 3*n. Solve -8*o + n = -3*o for o. 3 Let a(y) = -y**3 - 3*y**2 + 3*y - 2. Let z be a(-4). Suppose -5*t + 16 = -14. Let j = -29 - -31. Solve j = -z*b + t for b. 2 Suppose -4*v - 3 = 5. Let o(h) = h**2 + h + 2. Let m be o(v). Solve g = -0*g - m for g. -4 Let h(y) = -4*y**3 + 2*y**2 + y. Let t be h(-1). Suppose -t = -5*g + 4*g. Solve -7 = -g*q + 3 for q. 2 Let j(z) be the third derivative of z**5/60 - 5*z**4/24 + 5*z**3/6 + 2*z**2. Let b be j(5). Solve 0*x + 20 = -b*x for x. -4 Suppose 11 = 2*c - 7. Let z = c - 4. Solve 0 = z*v + 2 + 3 for v. -1 Let b be 6/(-4)*(9 - 13). Solve 0 = -s - s - b for s. -3 Suppose y - 7 = -2*w, -2*w = -y + w + 27. Let f be (-1)/((y/6)/(-5)). Solve f + 8 = 2*d for d. 5 Let v be 8/14*(-28)/(-8). Suppose -5*z + 0*b = -b - 17, 4*z + b - 10 = 0. Solve -j + z = v*j for j. 1 Let o(m) = -m**3 + 7*m**2 - 3. Let q be o(7). Suppose 3*i - i + 2 = 0, 2*b - 1 = -5*i. Let j = q + b. Solve -4 = w - j for w. -4 Let x be 16/56 - 1/14*-94. Solve -2*c + x*c = 20 for c. 4 Suppose 3 = 4*d - 1. Suppose -5*n + 2*n = -3. Let b be d + -2 + 2 + n. Solve -7*o = -b*o + 20 for o. -4 Let k = -2 + 2. Suppose -g + 5*i - 11 = 8, -4*i + 16 = k. Let o = 1 - g. Solve 0 = -o*a - 4*a for a. 0 Let w be 0 + (-6)/(-2) - -3. Let v be 67/w + 2/(-12). Solve 0 = 5*o - 9 - v for o. 4 Let f be -2 - 1*(-4 + -1). Suppose -21 = -3*y - f*q, 0 = -7*q + 2*q + 25. Let v be (2 - (y - 0)) + 1. Solve -5 = 2*j + v for j. -3 Let j be ((-8)/10)/((-7)/105). Solve -j = -0*n + 3*n for n. -4 Let o be 3 + (3 - 3) - 3. Let g be 1 - 0 - (-2 - o). Solve -g - 1 = 4*q for q. -1 Suppose 2 = -u + t, -u = u + 4*t - 26. Solve -u*g - 2*g - 10 = 0 for g. -2 Let t = 7 + -3. Suppose 2*u + 2*u = -4*p + 36, t*p + 52 = 4*u. Solve 5*y - 14 = u for y. 5 Suppose 4*r + 5*u = -41, 2*r - 5*u - 1 = 16. Let h be r/8 - 102/(-4). Suppose 4*m + 3*p = 21, 3*m + 2*p = h - 9. Solve -l = 2*l - m for l. 2 Let q(b) = b - 2. Let f be q(5). Suppose -o = -6 + f. Let g be 1 + o + 2 - 2. Solve -g*y - 10 = 6 for y. -4 Suppose 0 = o - 1 - 1. Let r be o/6 - 3/9. Suppose u = -r + 5. Solve -u*i = -6*i for i. 0 Let r be 4 + -2 + 2 + -2. Solve 5*k = r*k + 3 for k. 1 Let a(x) = -x**2 + 10*x + 10. Let j be a(10). Solve c + c = -j for c. -5 Let f be 104/20 - (-2)/(-10). Let k = f - 3. Solve 0 = -g - 5 + k for g. -3 Let u be (-1090)/(-20) - (-2)/(-4). Suppose 4*x - 77 = -5*j, 0*j - 3*j + u = 3*x. Let p = 1 + 6. Solve x = 4*n - p for n. 5 Let k = 3 - 1. Solve 0 = -0*f - k*f + 4 for f. 2 Let u(l) = -l**2 - 9*l - 13. Suppose -2*b + 4 - 16 = 0. Let c be u(b). Solve 4*t + 7 = -c for t. -3 Suppose -3*a = a. Solve -b - 3 = -a*b for b. -3 Suppose 2*s + 9 = -5*v - 26, 0 = 2*v + 4*s + 14. Let x be (v - -6)/((-2)/6). Solve 0 = -3*r + 4*r - x for r. 3 Suppose -2*g = -4, -4*n = -2*g - 9 - 11. Let a = n + -3. Let w = 6 - a. Solve -i = -w*i for i. 0 Let h = -3 + 3. Suppose -3*s + 2*x - 3 = -2*x, -3 = s - 2*x. Solve s*b + h*b = -3 for b. -1 Suppose 4 + 2 = 5*d + 2*t, 2*t = 6. Let m be (-1 + d)/(1/(-5)). Let p = 9 - m. Solve x + p = -x for x. -2 Suppose 5*o - 4*o = 0, o + 108 = -3*r. Let a = r - -52. Solve -g - a = 3*g for g. -4 Let b(p) = -3*p - 1. Let s be b(-1). Solve 6 + 2 = -s*v for v. -4 Let f(y) = -2*y**2 + 12*y - 5. Let r be f(5). Solve -r*g + g = 4 for g. -1 Let h(n) = n - 9. Let l be h(7). Let r(y) = -3*y - 2. Let c be r(l). Solve -3*a = a - c for a. 1 Let z be 4/6 - 2/3. Let k = -4 + 22. Let j = 26 - k. Solve z*r + j = 2*r for r. 4 Suppose 3*m = -m + 16. Suppose 2*h + m = 4*h. Solve 9 = h*l + l for l. 3 Let a = -70 + 80. Solve -4*i + a = 2 for i. 2 Let o = 7 - 0. Let i = -20 - -13. Let x = o + i. Solve y = -x*y for y. 0 Let z = -50 - -52. Solve -z*r + 3 = r for r. 1 Let y = -32 + 40. Solve -5*n = -y*n + 3 for n. 1 Suppose 5*j - 10 = 0, -4*j + 0 + 8 = 3*x. Suppose 5*r - 5*z = 27 + 3, 5*r = -2*z + 2. Solve r*o = -x*o for o. 0 Let a(f) = 12*f**3 + f**2 - f. Let v(x) = x**2 - 3*x + 3. Let y be v(2). Let g be a(y). Solve w = 4*w + g for w. -4 Let g(f) = -f**3 - 3*f**2 + 6*f + 4. Let w be g(-4). Let a be w - (-6)/(2 + 1). Let h be (3/a)/(4/(-8)). Solve -h*o = 6 + 9 for o. -5 Let h(m) = -2*m - 6. Let g be h(7). Let n be (-8)/g + (-46)/(-10). Let c(x) = x**3 + 12*x**2 - 11*x + 29. Let l be c(-13). Solve l = -n*u + 23 for u. 4 Let b be 18/10 + (-1)/(-5). Let m = b - 10. Let o = m + 12. Solve y - 5*y = o for y. -1 Let u(x) = x - 5. Let l be u(10). Suppose 5*y = -l*p + 30, 23 = 4*y + p + 2*p. Solve y*v + 6 = 2*v for v. -2 Let x be (-30)/4*(-16)/12. Let y = x - 5. Let n be 2/y + 54/15. Solve -l + 6 = -n*l for l. -2 Suppose 0 = 5*d - 2*d + 54. Let y = 21 + d. Solve -x + y*x + 4 = 0 for x. -2 Let k be (0 - 3/6)*8. Let u(a) = -a**3 - 3*a**2 + 2*a - 2. Let n be u(k). Suppose n*f = 3*f. Solve 0 = -f*w - 2*w for w. 0 Let w be (-9)/(-5) - (-2)/10. Let i = -1 - -8. Solve -w*n = -i*n for n. 0 Let h = 13 - 11. Solve 2*d + h*d = 4 for d. 1 Let l(r) = r + 17. Let h be l(-14). Suppose -2*d = -h*d + 3. Solve d*u + 0 - 3 = 0 for u. 1 Suppose -a - 100 = -6*a. Solve 0 = 4*t - a for t. 5 Suppose -u = 3*n - 4*u, -4*n = u - 20. Solve x = -5 + n for x. -1 Let x = 8 + -6. Solve i = -x*i - 3 for i. -1 Suppose 0*z - 6*z = -456. Let n be z/18 + (-12)/54. Solve -4*u = -4 - n for u. 2 Suppose -2*o = 1 - 7. Solve 0 = -4*n + o*n + 1 for n. 1 Let l(b) = b**2 + 4*b. Let v be l(-5). Suppose -4*p + 5*r + 14 + 7 = 0, 5*r + 25 = v*p. Solve -2*f = -f + p for f. -4 Let q(o) = 6 - 1 - 1 - 5*o. Let b be q(-3). Suppose b = 4*a + 3. Solve 2*v = -2 + a for v. 1 Suppose 2*o = -4*t + 2*t + 18, -5*t + 3*o = -5. Suppose 4*l = 5*j + 10, -3*j + l - 1 + 2 = 0. Suppose -j*r - 4 = -3*r. Solve t*u + r = -0*u for u. -1 Let g be (-8)/28 + 18/14. Let o(p) = -4*p**2 - 4*p + 8. Let y(w) = -w**2 + 1. Let u(a) = g*o(a) - 6*y(a). Let q be u(3). Solve -l + 5*l = -q for l. -2 Let s(y) = -y**3 - 5*y**2 - 5*y - 3. Suppose z = 4*o - 12, 0 = 3*z - o - 8 - 0. Let l be 42/(-9) - z/(-6). Let w be s(l). Solve 0 = 5*k - w - 4 for k. 1 Let z(s) = -2*s - 1. Let i be z(-2). Let u(h) = 3*h**3 - 2*h**2 + h. Let n be u(1). Solve -i*d + 2 = -n*d for d. 2 Let m(p) = -p**2 + 17*p - 14. Let k be m(16). Solve 0 = k*q + q - 12 for q. 4 Suppose -74 = 4*t - 14. Let s = 6 - t. Let l be s/4 + 1/(-4). Solve 9*g - 4*g = l for g. 1 Let o be 12*1*(-9)/(-12). Solve -3*x - 6 - o = 0 for x. -5 Let r = 7 - 11. Let m be r/(-18) - (-32)/18. Let h(p) = -p**3 - 4*p**2 - 3*p + 4. Let v be h(-3). Solve m*b - 2 = -v for b. -1 Let l(x) = -x + 1. Let b be l(-2). Let w = b + -3. Solve w = 3*t + 2*t for t. 0 Let l(c) = c**3 + 7*c**2 - c - 3. Let z be l(-7). Let x = -2 + z. Solve -x*h = 2*h - 8 for h. 2 Let w(n) be the third derivative of n**5/60 - 7*n**4/24 + 2*n**3/3 - 3*n**2. Let z be w(7). Let k be (6 + -2)*2/4. Solve 0 = g + k - z for g. 2 Let n = 17 + -15. Solve -h + 2 = -n*h for h. -2 Let y(p) = -p - 12. Let w be y(-19). Solve -w = -4*a + 5 for a. 3 Let b = 8 + -15. Let m be ((-2)/6)/(b/(-21)). Let d be 0/(-1) - (m + -2). Solve -d*c - 5 = -4*c for c. 5 Suppose -8*f + 6*f = -6. Let v = 0 - 0. Let c = -10 + 10. Solve v*m - 3*m
{ "pile_set_name": "DM Mathematics" }
llest value? (a) -67 (b) 1/2 (c) 0.1 (d) -0.4 (e) 8 a Which is the smallest value? (a) 95 (b) 5 (c) -3 (d) 3 c What is the third smallest value in -1/9, -4, -0.5, 0? -1/9 Which is the fourth smallest value? (a) 0.1 (b) 1/3 (c) 0 (d) 21 (e) -0.5 b Which is the second biggest value? (a) 0.4 (b) -2/21 (c) -0.06 (d) 1/2 a Which is the fourth biggest value? (a) -6/19 (b) 3 (c) 5 (d) 0.08 a Which is the third biggest value? (a) 202 (b) -0.3 (c) -0.4 c What is the smallest value in 0.27, 2/17, 0.4? 2/17 Which is the smallest value? (a) 0.2 (b) 5 (c) 0.1 (d) -0.056 d What is the third smallest value in -2, -3, 0.1, 26? 0.1 What is the second biggest value in 1/8, 0.2, -13/8, 1? 0.2 What is the third biggest value in 163, -0.2, -1? -1 Which is the second biggest value? (a) -2/3 (b) -3 (c) 0.002 (d) -0.4 d What is the third biggest value in -0.5, 5, 9, 0? 0 What is the fourth biggest value in -0.1, -0.3, -2/11, 3, -16? -0.3 Which is the third smallest value? (a) 5/11 (b) -0.5 (c) 0 a Which is the third biggest value? (a) -106 (b) 1/7 (c) 1/2 a Which is the second smallest value? (a) -4 (b) -1/8 (c) 1/4 (d) 5 (e) 0 b What is the third biggest value in -5/8, 28, 0.5? -5/8 Which is the third smallest value? (a) -2/11 (b) 1/11 (c) 7 c Which is the second smallest value? (a) -0.0171 (b) 2/11 (c) 0.05 c Which is the fourth smallest value? (a) -0.1 (b) 2/5 (c) 1/2 (d) -0.044 c Which is the smallest value? (a) 4 (b) 0.4 (c) -3.3 (d) -3 c What is the fourth biggest value in 0.1, -1.2, -0.3, 3? -1.2 Which is the second biggest value? (a) 0.4 (b) 0 (c) -10 (d) 3 a Which is the third smallest value? (a) 4 (b) 0.2 (c) 0 (d) 1.3 d What is the biggest value in 5, 6, 0.3, -2? 6 What is the smallest value in 0, -2, -5/2, -1? -5/2 What is the second smallest value in -1, 2, 4/3, -4/13? -4/13 What is the second biggest value in 0.0793, 1, -1/2? 0.0793 Which is the fourth biggest value? (a) -5 (b) 2/5 (c) -8 (d) 1/4 c What is the third biggest value in 1/5, -3, 3.6? -3 What is the biggest value in -2/5, -7, 14? 14 Which is the third biggest value? (a) -1/3 (b) 1/24 (c) 2/7 a What is the smallest value in 14, 3/5, 0.03, -1/3? -1/3 Which is the second smallest value? (a) -2/5 (b) -2/19 (c) 120 b What is the fourth biggest value in 10, 2, 2/5, -2/9, 12? 2/5 Which is the smallest value? (a) -1 (b) 0 (c) 71 a Which is the smallest value? (a) 6/5 (b) -1 (c) 92 b What is the third smallest value in -0.2, 4/15, 5, -4/7, -0.13? -0.13 What is the smallest value in -4.3, 0.1, -3, -2/5? -4.3 Which is the third smallest value? (a) -0.03 (b) 2 (c) -1/5 b What is the fourth biggest value in -2, -5, 2, -99? -99 What is the third smallest value in -4, 0.104, 0.2? 0.2 What is the second biggest value in -63, -0.3, -0.03, -2, -5? -0.3 Which is the second smallest value? (a) 2 (b) 7 (c) -0.1 (d) 1 d What is the smallest value in 1, -0.1, 5, 20/13, -1/3? -1/3 Which is the fourth biggest value? (a) -5 (b) -191 (c) -1/6 (d) -2/3 b Which is the third biggest value? (a) -0.4 (b) -3.2 (c) -2 b Which is the smallest value? (a) -3 (b) 0.5 (c) -1 (d) -3/7 (e) 1 a What is the third biggest value in 3, 1/4, 2? 1/4 What is the fourth biggest value in -1/6, -15, -3, -71? -71 Which is the third biggest value? (a) 0.5 (b) 55/4 (c) -0.03 c Which is the second smallest value? (a) -13 (b) -3 (c) 5/6 (d) -2 b Which is the third smallest value? (a) 4 (b) 0.02 (c) 0.149 a What is the fourth biggest value in 4, 5.9, -5, -2? -5 What is the second biggest value in 12/11, 2/3, 0? 2/3 What is the biggest value in 4/9, 5, 0.5, -35/3? 5 Which is the second smallest value? (a) -4/7 (b) 14 (c) -0.1 (d) 0 c Which is the third biggest value? (a) 3 (b) -15 (c) 3.4 b Which is the third smallest value? (a) 0.21 (b) 0.1 (c) 22 c What is the third smallest value in 0, -6/25, -5, 2/11? 0 Which is the third biggest value? (a) 2/3 (b) -1/2 (c) -1/4 (d) 8 c What is the second smallest value in -5, 0, 3/2? 0 What is the second smallest value in -51.9, 1, -2/3? -2/3 What is the third smallest value in 477, -2/5, -4/5? 477 Which is the biggest value? (a) 4 (b) 2/7 (c) -7 (d) 0.5 a What is the second biggest value in 0.05, 0, -5, -29? 0 Which is the third smallest value? (a) -0.3 (b) -2/365 (c) -0.07 b Which is the second biggest value? (a) -0.1 (b) 2/11 (c) 3 (d) 5 c Which is the biggest value? (a) -34 (b) 5 (c) -2/7 b Which is the third smallest value? (a) 1/5 (b) -2/3 (c) -6 (d) -3 (e) -4 d What is the fifth smallest value in 42, 1.3, -1/5, 0.4, -1? 42 What is the third biggest value in 4, 0.01, -3, -27? -3 Which is the second biggest value? (a) -1/7 (b) -4/7 (c) 0.2 (d) 1/9 d Which is the second biggest value? (a) 0 (b) -262 (c) 0.5 a What is the second smallest value in 3/5, 4, 2/11, -2? 2/11 What is the smallest value in -2, 63, -3? -3 What is the second smallest value in 0.4, -5, 0.2, 0.3, -137? -5 What is the third biggest value in 1.1, 0.9, 5? 0.9 Which is the smallest value? (a) -0.4 (b) 5 (c) 36 (d) -12 d Which is the second biggest value? (a) -0.5 (b) 0.07 (c) 51/2 (d) -4 (e) 1 e What is the second smallest value in -0.1, 2, 4? 2 Which is the smallest value? (a) 0.1 (b) 8 (c) -15 c What is the second biggest value in -2/11, -3/7, 335/11? -2/11 What is the fifth biggest value in -2/5, 8, 0.2, 5, 0.3? -2/5 Which is the smallest value? (a) 0.2 (b) -10 (c) 3.9 (d) 0.1 (e) 1/11 b Which is the third smallest value? (a) -0.5 (b) -5/3 (c) 4 c What is the biggest value in -16, 2, -3, -0.4? 2 What is the third biggest value in -0.3, -1, -0.4, -1/6? -0.4 Which is the biggest value? (a) -2/9 (b) -0.5 (c) -40 a What is the biggest value in -2, 0.4, 4, -1? 4 Which is the third smallest value? (a) 1 (b) -6 (c) 5 (d) -1/3 a What is the biggest value in 25, 1/6, -5/7? 25 What is the third biggest value in -5, -0.3, -1, 2? -1 What is the third biggest value in 1/23, -5, 3, -3, -0.03? -0.03 Which is the fifth smallest value? (a) -1 (b) -5 (c) 0.1 (d) -0.09 (e) 2/5 e Which is the fourth biggest value? (a) -1/5 (b) 0.7 (c) 1/12 (d) -1/4 (e) 5 a What is the biggest value in 5, 1/5, 1, 10? 10 Which is the fifth biggest value? (a) 2 (b) 2305 (c) -1 (d) 1 (e) -3 e What is the biggest value in 0.13, -1/14, 0.2, 4? 4 Which is the second biggest value? (a) -18 (b) 0.5 (c) 2/3 (d) -3/5 (e) 3 c Which is the third smallest value? (a) -0.2 (b) 6.4 (c) 1/4 b What is the third biggest value in 13/5, 1/3, 6/5, 1/2? 1/2 Which is the third biggest value? (a) 0 (b) -0.06 (c) -15 c Which is the smallest value? (a) 0.2 (b) 0.42 (c) 9 a What is the biggest value in -2, 0.2, -2/25, -4/9? 0.2 What is the second smallest value in 0.015, 1, 3/5? 3/5 What is the third smallest value in 20.6, -1.7, 3? 20.6 What is the fourth smallest value in -5, 5, -1/2, 127, 2? 5 Which is the second smallest value? (a) -414/7 (b) 2/5 (c) 0 c Which is the third smallest value? (a) -4 (b) 0.6 (c) 1/3 (d) -2/5 c Which is the fourth biggest value? (a) 0 (b) 5 (c) 1 (d) -2/7 d What is the second smallest value in 0.3, 5, -1/5, -33, -4? -4 Which is the third biggest value? (a) 11 (b) 3 (c) 1.9 c What is the fourth biggest value in 11.8, -8, 0, -0.2? -8 What is the smallest value in 0.1, 1/9, -9.1, -3, -1/3? -9.1 What is the second biggest value in 3, -4, 1? 1 What is the smallest value in -2, -79/8, -4/7? -79/8 What is the third biggest value in 19, 4, -5, 1/19? 1/19 What is the third smallest value in -4, -2/5, 1, 0.1, 0? 0 What is the fifth biggest value in 1, -1/7, 3/5, -2/15, 4/3? -1/7 Which is the biggest value? (a) -4/9 (b) 2 (c) 3 (d) -14 c What is the fourth biggest value in -10, 0, -1/2, 4? -10 Which is the smallest value? (a) 0.16 (b) 2/39 (c) -40 c Which is the fourth biggest value? (a) 0 (b) 0.2 (c) -0.4 (d) 5 (e) 0.3 a Which is the smallest value? (a) -2/7 (b) -1/3 (c) 1 (d) -0.279 b Which is the fourth smallest value? (a) -5/4 (b) 1/12 (c) 0.2 (d) 4/3 d Which is the biggest value? (a) 0.2 (b) -0.04 (c) 0.5 (d) 0.04 c Which is the third smallest value? (a) -2/11 (b) 1.5 (c) -4 (d) 0 d Which is the third smallest value? (a) 2/227
{ "pile_set_name": "DM Mathematics" }
2.084265*-0.2. -46.416853 Multiply 2 and -1426.9867. -2853.9734 174.917657*-4 -699.670628 Product of -10 and 582.005. -5820.05 Multiply -16907 and -0.129. 2181.003 Work out 0 * -328.2783. 0 What is 5 times 204.28344? 1021.4172 What is the product of 0.008 and -112516? -900.128 Work out 0.074 * -3299550. -244166.7 Multiply 154278298.4 and 0.2. 30855659.68 -5 times 6871660 -34358300 Multiply 2407 and -0.2383. -573.5881 What is the product of 1807.6 and 426.7? 771302.92 Work out -0.44616 * 2.4. -1.070784 Product of -22964 and 428. -9828592 What is the product of 151.96 and 95? 14436.2 Work out 1001900 * -14. -14026600 -745068 times 0.411 -306222.948 What is -3790 times 1.482? -5616.78 Work out 9331.242 * -0.5. -4665.621 Product of 268835 and 5.42. 1457085.7 Work out -9.32 * -111.311. 1037.41852 What is -693 times 189915? -131611095 What is 5 times -510237.27? -2551186.35 -723 * 6933 -5012559 What is -0.0139 times -6998? 97.2722 -996769 * -0.7 697738.3 Work out -19.73977 * -0.194. 3.82951538 Multiply 16 and -42811.79. -684988.64 What is the product of 1713895 and 0.24? 411334.8 What is the product of -326 and 2615427? -852629202 Multiply -81 and 260050.6. -21064098.6 What is the product of -0.142668837 and 4? -0.570675348 What is -411208993 times -4? 1644835972 0.418 times 42.62 17.81516 What is the product of -5140249 and -0.044? 226170.956 Calculate 111756*-0.021. -2346.876 Calculate 535.64*100. 53564 -0.1651*4.7134 -0.77818234 -11 times -24275348 267028828 -717112 * 1 -717112 Product of 4 and -243945. -975780 Product of -3140301 and 2.7. -8478812.7 -4 * -0.150267147 0.601068588 0.31649 * -57.8 -18.293122 102963.6659 * 1 102963.6659 Multiply -0.5 and -0.2016579. 0.10082895 Work out 946 * -5198. -4917308 18*2698738 48577284 Product of -0.42 and -10087733. 4236847.86 -0.7559 * 2271 -1716.6489 What is the product of 0.5 and 20.38245? 10.191225 Calculate 77604864*-0.03. -2328145.92 0.20119795 * -0.21 -0.0422515695 -16.257*-0.1236 2.0093652 168687*2058 347157846 Product of -131.4 and 0.04468. -5.870952 -6.9584 * 845 -5879.848 Multiply 452089 and -30. -13562670 Calculate 0.4*1.59031669. 0.636126676 Product of -62.4 and -20576. 1283942.4 -0.057035*-0.0065 0.0003707275 What is the product of -7.361 and -1374? 10114.014 What is 87976 times -275? -24193400 What is the product of 91586312 and -2? -183172624 -4*3754119 -15016476 Work out 335 * -2191. -733985 What is -146.91 times -0.12? 17.6292 Calculate 88.10228*0.4. 35.240912 Work out 911.9623 * -1.1. -1003.15853 What is the product of -3365 and -1561? 5252765 Multiply 263 and 19645. 5166635 Calculate -0.06*0.034219. -0.00205314 Work out -0.13 * -0.0644494. 0.008378422 1839948*-3 -5519844 What is -0.1 times -0.13791064? 0.013791064 -298121 times 1487 -443305927 230776*3.08 710790.08 Multiply 63 and -2817153. -177480639 What is the product of -412.22 and -8.55? 3524.481 Work out -0.1 * 41.69515. -4.169515 What is 308 times 4047? 1246476 What is 297.872 times 2.11? 628.50992 What is the product of 0.016682 and 216? 3.603312 Calculate -56931.5*51. -2903506.5 -700901 times -128 89715328 Work out 2.9 * 997281. 2892114.9 What is 498 times -19837? -9878826 Calculate 376.3*2849.9. 1072417.37 Work out -0.086 * 1783518. -153382.548 -103.53 * 80.98 -8383.8594 0.5 times -0.4097543 -0.20487715 Multiply 96 and -229566. -22038336 -1376423 times -0.08 110113.84 What is the product of 700.5 and -21369? -14968984.5 -4 * -8072887 32291548 Work out 0.59597864 * 5. 2.9798932 What is -16845 times -2201? 37075845 Work out -1.1948235 * 1.4. -1.6727529 -0.01796 * -600.7 10.788572 Calculate -63*69562. -4382406 42872351 times -2 -85744702 What is the product of -0.685 and 357? -244.545 Calculate -0.02*51489. -1029.78 241*0.003815 0.919415 0.1 times 328.25964 32.825964 What is -19785399 times 8? -158283192 What is 0.00889354 times 5? 0.0444677 Work out -8925 * -1124. 10031700 Work out 862 * 25042.5. 21586635 Work out -1172.0744 * 1. -1172.0744 What is -2370.5 times 0.141? -334.2405 Calculate 1.704*-3707. -6316.728 0.2873 times 3107 892.6411 What is the product of -7546110 and 0.052? -392397.72 70*-42.735 -2991.45 Product of 1 and -241530162. -241530162 Calculate -128272*28. -3591616 Calculate 1.53629*0.17. 0.2611693 1*-21882252 -21882252 -14.621944*-0.9 13.1597496 -532*35938 -19119016 -4976568*-1.9 9455479.2 Product of -0.2 and -41333974. 8266794.8 Calculate 22*57.196. 1258.312 What is -921 times 6929? -6381609 3060616*0.0267 81718.4472 Work out 4 * 857281. 3429124 Calculate 0.20136*0.1061. 0.021364296 Multiply -58.786 and 35. -2057.51 What is the product of -0.0839 and 2.0263? -0.17000657 What is -31.4357735 times 2? -62.871547 Multiply -0.7575049 and 0.01. -0.007575049 -2507.63 times -0.106 265.80878 What is -1.99 times -788000? 1568120 3300454*-3 -9901362 What is -0.352 times -9957.4? 3505.0048 Product of -87.5 and -9915.2. 867580 Calculate 391122.2*-0.22. -86046.884 Multiply 2.27 and 0.067953. 0.15425331 What is 0.4 times -1168453? -467381.2 Work out 3.42695759 * 4. 13.70783036 What is the product of 942 and 46.2514? 43568.8188 6 * 156129 936774 What is the product of -58.2519 and -1.7? 99.02823 What is the product of -0.3027854 and -4? 1.2111416 -0.4109237 times -18 7.3966266 Work out -3916 * 6587. -25794692 15*-0.6790783 -10.1861745 0.1 * -1028344 -102834.4 Product of -12.0120743 and -5. 60.0603715 Calculate -0.4*-1249413. 499765.2 Multiply 2.3 and -111519. -256493.7 9268590*0.4 3707436 -0.17057*-3540 603.8178 2*-520.79 -1041.58 4096.43*6 24578.58 Product of -97126 and 198. -19230948 Multiply -0.0153185632 and 5. -0.076592816 0.109 * -1406603 -153319.727 -17111 times -4355 74518405 What is -1105 times 82835? -91532675 Work out 127 * -0.25568. -32.47136 What is the product of 0.51 and -10.09731? -5.1496281 117826 * -7.3 -860129.8 -3554142 times -107 380293194 What is 158 times 52351? 8271458 Work out 345254057 * 0.1. 34525405.7 Multiply 5 and -183.76021. -918.80105 Multiply -44525633 and -0.2. 8905126.6 What is the product of -1652465 and -0.5? 826232.5 What is 0.01241 times -0.0209? -0.000259369 Work out -32 * -8.37298. 267.93536 -1 times 24044066 -24044066 Calculate 360236*356. 128244016 386.646 times 58.7 22696.1202 Work out -8566358 * -0.4. 3426543.2 -131.58919 times -0.1 13.158919 What is the product of -11284 and 437? -4931108 What is 1546 times -1.6914? -2614.9044 What is -0.4 times 38.227649? -15.2910596 Product of -420.73 and -637. 268005.01 Work out -2687.166 * 128. -343957.248 Multiply -10 and 2346094. -23460940 Calculate 655020.5*0.4. 262008.2 Multiply 863 and 0.88624. 764.82512 What is the product of -144130814 and -4? 576523256 Calculate -0.1*346653. -34665.3 Product of -3.1 and -11631576. 36057885.6 Work out -0.184 * 0.02376632. -0.00437300288 Work out -3994 * 0.683. -2727.902 66.9 times -0.059684 -3.9928596 8356 * -183441 -1532832996 Work out -51458 * -2.64. 135849.12 What is -109981 times 681? -74897061 Multiply 1000941 and -0.88. -880828.08 What is -312 times -154843? 48311016 6980569.5 * -3 -20941708.5 10517906.3*0.4 4207162.52 What is the product of -0.0018915597 and 0.3? -0.00056746791 Calculate 8.7*-35258. -306744.6 Work out 79684882 * -0.3. -23905464.6 Calculate -7216071*3. -21648213 What is 2329944 times 0.3? 698983.2 Work out 801517 * -325. -260493025 -1269120 times -27 34266240 5 times -1691262 -8456310 281.4*-0.4791 -134.81874 Work out 1.07 * 103145.8. 110366.006 Multiply 4.1768833 and -7. -29.2381831 Work out 1833.6 * 1492. 2735731.2 What is 11 times -209139.5? -2300534.5 What is -7.9571 times 0.4754? -3.78280534 Multiply 9 and -44821446. -403393014 -2643 * 0.646 -1707.378 -1.715 times -624216 1070530.44 What is the product of 0.95 and -0.659? -0.62605 What is the product of 0.1389 and 38.7583? 5.38352787 Product of -212 and 0.080926. -17.156312 Product of 4556284 and 1. 4556284 -0.2 times -53251490 10650298 Multiply -170 and 64188. -10911960 -2310*1012 -2337720 What is 13 times -2477.239? -32204.107 What is 233292 times -194? -45258648 38.6726579 times 2 77.3453158 Calculate -1.5*3489.0877. -5233.63155 -0.15444*939 -145.01916 Work out -2119269 * -1. 2119269 64456597 * 0.1 6445659.7 What is the product of -10969574 and 79? -866596346 Product of -8.136391 and -0.9. 7.3227519 Calculate 120164*-0.0
{ "pile_set_name": "DM Mathematics" }
in increasing order. -9, -1, w, 3 Let j = -618/5 - -124. Let y = 99 + -98.8. Let r = -0.46 + 0.06. Put r, j, y in ascending order. r, y, j Let s = 0.2 - 0.7. Let d = -16 + 17. Let j be d/(1 + (-4)/6). Sort s, j, 2/7 in descending order. j, 2/7, s Suppose -m + 3 = 4*t - 7, 0 = 4*t - 4*m. Let w = 1.1 + -3.1. Sort -2/9, w, t in ascending order. w, -2/9, t Let s(w) = w + 3. Let h be s(0). Let z be ((-3)/(-2))/(h/8). Let p = -3075 + 3074. Sort -4/5, z, p in descending order. z, -4/5, p Let v(y) = -y**2 + 11*y + 2. Let p be v(0). Sort p, -9, 56 in decreasing order. 56, p, -9 Let k be -4 + 1 + (-15)/5. Let p be 11/22 + k/4. Sort p, 7, 0.5 in decreasing order. 7, 0.5, p Let z = -78 - -89. Suppose -5*t = -3*q + 2*q + z, t + 4*q - 2 = 0. Put t, -0.1, -0.6 in descending order. -0.1, -0.6, t Let p be (-3)/3*(99 - 2). Let v = 96 + p. Put v, 4, 0 in increasing order. v, 0, 4 Suppose -5*s = 2*a - 27, 6*a + 2*s - 35 = 3*a. Let q = a + -7. Let l be (-120)/80 - (0 - 2). Sort q, l, -5 in descending order. q, l, -5 Let j be ((-5)/25)/(1 + -5 + 5). Sort -0.4, j, 7 in increasing order. -0.4, j, 7 Let x = -962 - -962.2. Sort x, -4, -1, -3 in descending order. x, -1, -3, -4 Suppose -13 = -j - 11. Let s be (5/j)/(3/(-36)). Sort -3, s, -0.1 in descending order. -0.1, -3, s Suppose -5*l + 310 = -1015. Let n = 1055/4 - l. Sort -0.1, 0, n in decreasing order. 0, -0.1, n Suppose 38 = 25*c - 6*c. Let h be (-1 - 1)*(-3)/2. Sort h, 4, -4, c in ascending order. -4, c, h, 4 Let y(g) = g**3 + 6*g**2 - 3*g - 13. Let p be y(-6). Sort -1, 12, p in increasing order. -1, p, 12 Let f = 26.3 + -29. Let k = f - -0.7. Sort 1/5, k, 2 in decreasing order. 2, 1/5, k Let v be ((-535)/(-525) - -1)/(-6). Let m = 4/63 - v. Sort m, -0.3, -2 in decreasing order. m, -0.3, -2 Let a(u) = -u**3 - 4*u**2 + 8*u + 2. Let v be a(-6). Suppose -v*l + 8 = -28*l. Sort -1, l, 0 in descending order. 0, -1, l Let i(o) be the first derivative of -o**2 - 2*o + 3. Let n be i(-4). Suppose 2*p = -h - n, -2*h + p + 6 = -p. Put 2, 1/7, h in decreasing order. 2, 1/7, h Let w = 18 + -18.5. Sort w, -16, 5 in descending order. 5, w, -16 Let r = 255/4 - 64. Let y be ((-18)/(-33))/((-27)/(-9)). Let p = 12 + -19. Put p, r, y in ascending order. p, r, y Let u(j) = -j + 17. Let s be u(18). Put 13, -3, s in ascending order. -3, s, 13 Let z = 0.8 + 0.2. Let l = -23 - -44. Let g = l - 17. Put z, -0.2, g in decreasing order. g, z, -0.2 Let w = -38 + 41. Suppose w*x + 39 = 16*x. Sort -9, -2, x in descending order. x, -2, -9 Let w = 64 + -60. Let o = 35.2 + -39. Let z = w + o. Put 3/2, z, -0.3 in decreasing order. 3/2, z, -0.3 Let m = -352 + 462. Sort 5, m, 4 in increasing order. 4, 5, m Suppose 12*m - 8 = 4*m. Suppose -35 = -4*o + m. Put 1, -1, o in decreasing order. o, 1, -1 Let g = 38 - 55. Let k = g + 18. Let t = 259/9 + -29. Put -0.2, k, t in descending order. k, -0.2, t Let y(t) = 29*t - 233. Let b be y(8). Sort b, -36, 2 in descending order. 2, b, -36 Let v(i) = -i**3 + 6*i**2 + 5*i + 14. Let a be v(7). Let t be 2 + a/5 - -2. Put t, -2, -3 in decreasing order. t, -2, -3 Let v be 1 + (-21)/12 + 18/(-8). Sort v, 9, -5, 3 in descending order. 9, 3, v, -5 Let g = -1/68 + 141/340. Let t = -30 - -38. Sort 3, g, t in ascending order. g, 3, t Let m be 3 - (-5 + 7 - 5 - -9). Sort 1, m, -6, 3 in ascending order. -6, m, 1, 3 Let d = 865 - 865. Let l be 4*((-3)/18)/(-1). Sort 1.1, l, d. d, l, 1.1 Let y = -2/2149 + 4320/23639. Let o = -622/5 - -124. Sort -1, o, y, 0 in increasing order. -1, o, 0, y Let b = 1 + -1. Let g be -3 + -6 + 1*(11 + -7). Sort b, 4, -2, g in descending order. 4, b, -2, g Let d be (-3)/(-6) - (-42)/12. Put -2, d, -2/5, -0.3 in descending order. d, -0.3, -2/5, -2 Let o(x) = -3*x + 3. Let m be o(2). Suppose 3*n = 7*n - 32. Suppose n*h = 7*h. Sort 6, h, m in ascending order. m, h, 6 Let g(x) = x**2 + 8*x - 31. Let k be g(-11). Suppose 2*r = -0*r + k. Sort r, -17, -5 in increasing order. -17, -5, r Let m = 0.2 + -0.18. Let d = 2.98 + -2.66. Let q = m - d. Sort q, -1/4, 11. q, -1/4, 11 Let m(p) = -2*p**2 - 72*p - 131. Let y be m(-34). Sort -2/15, -0.03, y, -7 in increasing order. -7, -2/15, -0.03, y Let a = -259 + 203. Sort a, 4, -3, 2 in decreasing order. 4, 2, -3, a Let v = 87 + -91. Sort 1, 4, -8, v in ascending order. -8, v, 1, 4 Let v = -23.747 - 0.253. Put -5, 0.4, v in decreasing order. 0.4, -5, v Let h = -726 + 725.7. Put 5, h, -1/10 in decreasing order. 5, -1/10, h Suppose 0 = -0*u + 2*u. Suppose 5*l - 3*h - 8 = 0, -3*l = -u*l - 4*h + 4. Suppose -10 = -2*x + 2. Put -4, l, x in descending order. x, l, -4 Let d = 8560/11 - 778. Sort -8, d, -4, -3. -8, -4, -3, d Suppose 5*q - 6*j = -3*j + 10, -j - 4 = -q. Let f(v) = -v. Let m(g) = -2*g. Let k(t) = 9*f(t) - 4*m(t). Let i be k(-5). Put 2, q, i in increasing order. q, 2, i Let u be 21/40 - 0 - 118/295. Let g = 1.1 - 0.1. Sort g, u, 14. u, g, 14 Let n be 44/36 - (-6)/(-27). Let f be 2/(-9) - (-1711)/531. Put n, 2, -1, f in ascending order. -1, n, 2, f Suppose 71 + 10 = -9*u. Let t be 6/(-9) + (-6)/u. Put 4, t, 1 in ascending order. t, 1, 4 Let y = -373.16 + 373. Let b = 6 - 5.6. Put b, y, -0.1 in ascending order. y, -0.1, b Let h = 1.112 + -0.112. Put -3, -3/4, h, -0.2 in ascending order. -3, -3/4, -0.2, h Let k be ((-54)/60)/(12/(-5)). Let r = 111 + -108. Put r, 0.5, k in descending order. r, 0.5, k Let i(s) = s**3 - 8*s**2 - 6*s - 23. Let a be i(9). Suppose 3*j = 2*n + 2 - 1, 0 = 4*j - 3*n - 1. Let x = 6 + -10. Put a, j, x in decreasing order. a, j, x Suppose -3*m + 10 = -m. Let u(y) = -y**3 + 5*y**2 + 14*y - 44. Let s be u(6). Sort s, -3, m. -3, s, m Let r = 613 - 609. Put r, 3, -10, 0 in decreasing order. r, 3, 0, -10 Let c = 81 - 57. Let u = 25 - c. Sort u, -3, 2 in increasing order. -3, u, 2 Let w = 86 + -84. Put 5, w, -2, 3 in decreasing order. 5, 3, w, -2 Let y = -7 - -8.4. Let l = 1.5 - y. Put 1/8, 2, 20, l in decreasing order. 20, 2, 1/8, l Let r be (-220)/(-18) - 8/36. Let k be (r/(-36))/(4/(-3)). Put -3/8, -1/2, k, -10 in ascending order. -10, -1/2, -3/8, k Let d = 12 + -8. Let w = 4908 + -4906. Sort 0.11, w, d. 0.11, w, d Suppose y + a + 8 = -18, -y - 3*a = 24. Let t = -27 - y. Let q = t + 5. Sort q, 4, 0. 0, 4, q Let g(k) be the first derivative of -k**3/3 + 5*k**2/2 + 2*k - 1. Let z be g(5). Let o = 25 - 27. Put 3, z, o in increasing order. o, z, 3 Suppose -4*s - 66 = -62. Sort 4, 0, s, 5. s, 0, 4, 5 Let o = -1352 - -1352.18. Sort o, 1, 0.3 in ascending order. o, 0.3, 1 Suppose 3 = 3*l - 3. Let u be 115/(-161) - (-6)/(-21) - -4. Sort 5, l, u in ascending order. l, u, 5 Let r be ((-24)/(-9))/((-4)/(-6)). Suppose -4*m - 2*k + 20 = 0, -5*m + 35 = r*k + 7. Put 1, 2, m in descending order. m, 2, 1 Let x be -30*(27/(-15))/3. Let j be (96/x)/8*6/(-16). Let s = -3.5 - -3. Sort s, -4, j in decreasing order. j, s, -4 Let w = 3.02 + -0.02. Let k = -3/1136 - -293/3408. Sort w, k, 2/7, 0.3. k, 2/7, 0.3, w Let o be 3 - 20 - (6/(-3) - -2). Put o, -0.2, -1, 1 in descending order. 1, -0.2, -1, o Let z = 8.1 - 43.1. Let b = z + 37. Sort 4/9, -3/5, b, 0 in increasing order. -3/5, 0, 4/9, b Suppose -15 = -5*p - n + 6, 5*p - 24 = -4*n. Sort p, -4, 13, -2 in decreasing order. 13, p, -2, -4 Let s(r) = r**2 - 17*r - 134. Let a be s(23). Suppose -4*p - 1 = -3*c, -6*c + c - 29 = p. Sort a, 5, p in decreasing order. 5, a, p Let l be ((-8)/(-10))/((-2)/(-10)). Let a = -436 + 1304/3. Sort -1/8, l, a in decreasing order. l, -1/8, a Let a = -10 - -10. Suppose -y + 4*k - 11 = -a*k, -4*y - 2*k = 8. Sort y, -1, 0 in ascending order. y, -1, 0 Let s = 49 - 48. Put 4, -4/7, s in descending order. 4, s, -4/7 Let m = -1.5 + 16.5. Let i = m + -27. Put i, 0.4, -3 in decreasing order. 0.4, -3, i Let d = -5 + 7. Suppose -d = 4*n + 6. Let p = -126 - -129. Put p, -4, n in ascending order. -4, n, p Let t = 0.1 + -2.4. Let k = t - -4.3. Let v = -0.3 - -0.1. Put v, 3, k in descending order. 3, k, v Let y(p) = p**3 - 4*p**2 - 2*p + 4. Suppose -2*t + 11 = 3. Let n be y(t). Let h = 11 - 7. Sort -0.5, n, h in increasing order. n, -0.5, h Let w = -4.794 - 0.206. Let h be (-255)/6*(-112)/(-25). Let c = -191 - h. Sort w, c, -2/9 in decreasing order. -2/9, c, w Let g(m) = m**3 - 56*m**2 - m + 58. Let j be g(56). Sort j, -116, -1 in descending order. j, -1, -116 Suppose 0 = 24*s + 38*s - 124. Sort s, -2,
{ "pile_set_name": "DM Mathematics" }
-424*w - 6302 for w. -11 Solve -464 = 26*w - 5*w - 170 for w. -14 Solve -137*q + 532 = -213*q for q. -7 Solve -12 = 32*x - 27 - 49 for x. 2 Solve -453*i + 439*i = -28 for i. 2 Solve -337*p - 54 = -310*p for p. -2 Solve -40*i = 720 - 80 for i. -16 Solve -1608 = 103*k + 98*k for k. -8 Solve -121*l - 37*l - 3799 = -27*l for l. -29 Solve 1892 = 91*f + 436 for f. 16 Solve 48*c - 25*c - 30 = 17*c for c. 5 Solve -237*k - 361 + 2497 = -708 for k. 12 Solve 35*y = 92*y - 31*y + 390 for y. -15 Solve 66 + 195 = -29*r for r. -9 Solve 78*w + 85*w = 167*w - 44 for w. 11 Solve -p + 42*p + 25*p - 1122 = 0 for p. 17 Solve -56*n = 162*n - 872 for n. 4 Solve 142*d - 1384 = 462 for d. 13 Solve 183*v - 536 + 3999 = -1295 for v. -26 Solve -11*r - 3*r + 7*r - 7 = 0 for r. -1 Solve -1257 = 928*w + 3223 - 768 for w. -4 Solve 0 = 66*l - 88*l - 132 for l. -6 Solve -126*r - 1007 = 33*r - 4187 for r. 20 Solve 97*y - 49*y = -187*y - 2350 for y. -10 Solve 18*b - 1502 + 1826 = 0 for b. -18 Solve -68*f = 20*f + 616 for f. -7 Solve 1483 = 298*h + 589 for h. 3 Solve -489*j + 390 = -459*j for j. 13 Solve -20*n - 68 - 272 + 140 = 0 for n. -10 Solve -47*g + 19*g + 241 = -95 for g. 12 Solve 22*f = 12035 - 12255 for f. -10 Solve 1170*p + 960 = 1106*p for p. -15 Solve 0 = 491*y - 483*y + 200 for y. -25 Solve 25*x - 84*x = -531 for x. 9 Solve -3413*n + 1696*n = -1700*n + 51 for n. -3 Solve -30 = 25*r - 442 - 263 for r. 27 Solve -11*j - 4*j = -231*j + 648 for j. 3 Solve -120*b - 1629 + 888 = 1779 for b. -21 Solve -8*n + 75*n + 1484 = -39*n for n. -14 Solve -21531*o = -21506*o + 550 for o. -22 Solve -385*m - 2225 - 470 = 0 for m. -7 Solve 0 = 4*j + 43*j - 511*j - 8352 for j. -18 Solve 36*r + 4*r - 416 = -12*r for r. 8 Solve 1019*d = 1002*d - 408 for d. -24 Solve 445*x = 384*x + 305 for x. 5 Solve 113*b - 450 = 38*b for b. 6 Solve -147*j - 29 + 51 - 1786 = 0 for j. -12 Solve 752 + 2065 = -434*s - 655 for s. -8 Solve 13*i = 20*i - 4*i + 36 for i. -12 Solve -1755 - 2565 = -480*o for o. 9 Solve -533*j + 304*j = -289*j + 2280 for j. 38 Solve 13*b + 169 = 29*b - 71 for b. 15 Solve 295 = 39*r + 217 for r. 2 Solve 18 = -2*m + 50 + 8 for m. 20 Solve -176*b + 693 + 1183 = -42*b for b. 14 Solve -124*x - 242*x - 408*x + 21672 = 0 for x. 28 Solve -388*p + 7969 = 1761 for p. 16 Solve 7351*i = 7337*i + 182 for i. 13 Solve 454*v + 502*v - 12*v = 6608 for v. 7 Solve 217*m + 196 - 90 = -545 for m. -3 Solve -2356 = -121*o + 1153 for o. 29 Solve -129*u + 578 = -963 - 781 for u. 18 Solve -12*i - 7*i = 111 + 22 for i. -7 Solve 630 = 56*o + 383 + 415 for o. -3 Solve 6*v + 7*v + 167 = 115 for v. -4 Solve -18*j + 73 - 7 = 4*j for j. 3 Solve -1684 = -83*m - 771 for m. 11 Solve 12 - 3 + 126 = -9*w for w. -15 Solve 4*r + 4 + 23 = 51 for r. 6 Solve 13587 = 114*g - 918*g - 12945 for g. -33 Solve 0 = -128*k + 308 - 52 for k. 2 Solve -344*z + 282 = -52*z - 10*z for z. 1 Solve 12*g + 54*g = 132 for g. 2 Solve 2107 = -279*m - 2636 for m. -17 Solve 44*x + 10*x = 14*x - 240 for x. -6 Solve -6*o - 3*o + 16 = 124 for o. -12 Solve -304*l + 160 = -324*l for l. -8 Solve -14942 + 3276 = -614*s for s. 19 Solve 48 + 129 = 69*s - 99 for s. 4 Solve 59*g = -45*g - 625 - 1559 for g. -21 Solve 5*m + 52 = m - 24 for m. -19 Solve -994*c - 192 = 136*c + 9978 for c. -9 Solve -747 = -106*n + 23*n for n. 9 Solve 3489 = 5*m + 3444 for m. 9 Solve -f + 164 = -51*f + 764 for f. 12 Solve -510 - 317 + 471 = 89*n for n. -4 Solve -297*y = -155*y - 161*y - 152 for y. -8 Solve 12*l + 66 = -24*l - 150 for l. -6 Solve -11*m - m = 3*m + 165 for m. -11 Solve -942*o - 1994 = -865 + 1697 for o. -3 Solve 8143 = -248*a - 4701 + 4164 for a. -35 Solve -33538 = -31*s - 33569 for s. -1 Solve 266*b - 1834*b = 268*b + 33048 for b. -18 Solve -9914 = -945*m + 7096 for m. 18 Solve 1929*k - 1943*k - 42 = 0 for k. -3 Solve 20245*u - 20231*u + 42 = 0 for u. -3 Solve -813*j + 1860 = -689*j for j. 15 Solve 0 = -628*q - 580*q - 19328 for q. -16 Solve 0 = 26*t - 432 + 99 - 109 for t. 17 Solve -1 = -62*z + 185 for z. 3 Solve 45 - 84 + 45 = -3*a for a. -2 Solve -208*v = 408*v + 6137 - 16609 for v. 17 Solve -98*c - 23 = -585 - 614 for c. 12 Solve -56228 = 20*v - 56388 for v. 8 Solve -399 = 126*w + 1729 + 518 for w. -21 Solve 13*i = -14*i + 21 + 6 for i. 1 Solve 22*o + 62*o - 1022 = -2534 for o. -18 Solve -105*w = 167*w + 4624 for w. -17 Solve 3184 = 32*c + 2672 for c. 16 Solve -302 = 22*z + 380 - 22 for z. -30 Solve 8*o + 11*o + 544 = 53*o for o. 16 Solve 8419*c - 656 = -8395*c + 16855*c for c. -16 Solve 4099 + 521 = -330*d for d. -14 Solve 0 = 780*i - 762 - 2514 - 624 for i. 5 Solve 41177 = -343*n - 29*n + 54941 for n. 37 Solve -826*o = -839*o - 182 for o. -14 Solve 0 = 11*a - 43*a + 384 for a. 12 Solve -7 = -11*v - 3*v - 21 for v. -1 Solve 2683*u - 2626*u = 513 for u. 9 Solve 1571 + 337 - 505 = -61*i for i. -23 Solve 14*p = 822 - 752 for p. 5 Solve 0 = -16*g + 6185 - 6057 for g. 8 Solve 6*i + 2058 = 2190 for i. 22 Solve -34 + 62 - 37 = n for n. -9 Solve -1830*j - 59436 - 43044 = 732*j for j. -40 Solve 0 = -2*m + 51184 - 51194 for m. -5 Solve 0 = 2*w + 8 + 14 for w. -11 Solve -14*o - 3*o + o + 112 = 0 for o. 7 Solve 274 - 107 = 18*o + 77 for o. 5 Solve 19*w - 26647 + 25727 = -27*w for w. 20 Solve 0 = -824*l - 485 + 1309 for l. 1 Solve 191177*g + 589 = 191105*g + 2389 for g. 25 Solve 23*q = -11*q - 2*q - 324 for q. -9 Solve 572*m + 5421 - 960 + 4119 = 0 for m. -15 Solve -10*u - 280 = 10*u for u. -14 Solve 9*s - 11 + 11 + 135 = 0 for s. -15 Solve -667 = 4*b - 22*b - 11*b for b. 23 Solve -53*i = -60*i + 13 - 55 for i. -6 Solve 32*k = -k - 297 for k. -9 Solve 34*p + 1019 - 305 = 0 for p. -21 Solve 468 = -9*i - 3*i - 14*i for i. -18 Solve 6118 = -445*u + 179*u for u. -23 Solve 0 = 858*v - 846*v + 180 for v. -15 Solve -78 + 33 = -6*c + 75 for c. 20 Solve -5609 + 758 = 147*q for q. -33 Solve 0 = 94*g - 66*g - 280 for g. 10 Solve 0 = -29*o - 1060865 + 1060430 for o. -15 Solve -64*t - 236 = -87 + 171 for t. -5 Solve -79*l + 684 = -7*l + 4*l for l. 9 Solve 76*s - 1565 = -29*s - 305 for s. 12 Solve 39*s + 118*s = -314 for s. -2 Solve 114 - 20 = -30*f - 86 for f. -6 Solve 35*s - 126*s - 369 = 32*s for s. -3 Solve 1811 = -67*k + 2682 for k. 13 Solve -103*q + 2486 = 59*q - 49*q for q. 22 Solve 0 = 11682*f - 11687*f + 5 for f. 1 Solve -5203*w = -5219*w - 144 for w. -9 Solve -1820*h - 71 = -1891*h for h. 1 Solve -82*y = -52*y + 180 for y. -6 Solve 20*t - 546 = 62*t for t. -13 Solve 8*b = -9*b - 11*b - 392 for b. -14 Solve -45*w + 5*w - 1799 = -1159 for w. -16 Solve 40*n - 1156 = -716 for n. 11 Solve -2251 = 252*h + 4553 for h. -27 Solve -73*g = 4979 - 2497 for g. -34 Solve 22*t + 381*t + 1592 = -1632 for t. -8 Solve -275*i = -639*i - 4732 for i. -13 Solve 236*h - 40*h + 2015 = -337 for h. -12 Solve -1356*z + 1046*z - 3410 = 0 for z. -11 Solve 140 = 21*v + 14 - 0 for v. 6 Solve 36*f - 57259 = -27957 - 28222 for f. 30 Solve 42*r - 31*r + 18*r = -899 for r. -31 Solve -212*f + 372 = -476 for f. 4 Solve 163*s + 173 - 33 = 173*s for s. 14 Solve 0 = -247*p - 2784 - 427 for p. -13 Solve 1121*z - 1155*z = -272 for z. 8 Solve -3650*j - 570 = -3612*j for j. -15 Solve -87*p = 32*p - 1190 for p. 10 Solve 107991*f + 286 = 108004*f for f. 22 Solve 93*r - 19076 + 19448 = 0 for r. -4 Solve 47*g - 2414 = -3166 for g. -16 Solve 3421*a - 3429*a + 24 = 0 for a. 3 Solve -212*q - 11*q - 14*q - 2844 = 0 for q. -12 Solve 0 = -10*c - c - 165 for c. -15 Solve -328*l = -69*l + 518 for l. -2 Solve 81*y - 165*y = -109*y - 850 for y. -34 Solve 74*t = -671 - 69 for t. -10 Solve 81*x + 230 + 188 = -230 for x. -8 Solve 70847*b - 70860*b + 104 = 0 for b. 8 Solve 75*k + 4565 = -605*k - 19235 for k. -35 Solve 65 = -1934*i - 2425 - 18784 for i. -11 Solve 31*v - 26*v = 35 for v. 7 Solve -3558 = 13*b - 3610 for b. 4 Solve -115*h + 2159 = -242*h for h. -17 Solve -157 = 36*f + 419 for f. -16 Solve 0 = 51*p + 216 + 600 for p. -16 Solve -112*v - 3184 = 115*v + 2491 for v. -25 Solve 0 = -145*q - 1311 - 864 for q. -15 Solve 44 = -3511*p + 3507*p for p. -11 Solve 21*v + 580 = -9*v + 59*v for v. 20 Solve 726 - 1077 = 39*a for a. -9 Solve 22290*q = 22331*q + 1435 for q. -35 Solve 0 = 5*i + 2473 - 2408 for i. -13 Solve 613*u - 627*u = 28 for u. -2 Solve -9157 = 35*j - 8212 for j. -27 Solve -10*k = -24 - 14 + 8 for k. 3 Solve -189 = -30*
{ "pile_set_name": "DM Mathematics" }
+ m for z. -2 Let q be 3/(-5) + 420/75. Solve 10*b = 5*b + q for b. 1 Let z be (-12)/28 - (-24)/7. Let h = 7 + -1. Solve h*g + 6 = z*g for g. -2 Suppose -5*b - 20 = -5*y, 13 = 5*y + b - 25. Solve 0 = y*l - 2*l + 10 for l. -2 Let f be (42/(-9))/(2/(-6)). Suppose p + 0*a = 4*a + f, 0 = -2*p + 5*a + 19. Let g be (p*1)/(2/4). Solve k + 5 = -g*k for k. -1 Suppose -7 = -5*s - 2. Solve -q + s = 3 for q. -2 Let o = 1 + 19. Solve -2*p + 6*p + o = 0 for p. -5 Suppose 0 = 2*x - 4, -4*f + 5*x + 40 = f. Let p be f/35 - 26/(-7). Solve -u = -p - 0 for u. 4 Let s = 35 + -33. Solve 3*k + s = -1 for k. -1 Let b be (21/7)/(1/3). Let c = 14 - b. Solve 2*i - 3*i = -c for i. 5 Suppose -2 = -p + 3. Solve 1 = -2*x - p for x. -3 Let r(x) = x + 26. Let y be r(-23). Suppose j = -3*j + 4. Solve y*g = j + 11 for g. 4 Let n(i) = -i**3 + 9*i**2 + 10*i + 6. Let f be n(10). Solve -f*p = -2*p - 8 for p. 2 Let b be (-66)/9*6/(-4). Suppose -b - 39 = -5*j. Suppose -4*o = 12, -22 = -w + 5*o - 4. Solve 0 = 5*t - w*t - j for t. 5 Suppose 2*d - 16 + 14 = 0. Solve 0 = -b + d - 4 for b. -3 Let m(z) = z**2 + 4*z + 1. Let s be m(-4). Let k be 0 + s + 4/2. Let t = 7 - k. Solve 26 = -t*h + 6 for h. -5 Let m be ((-1)/2)/((-3)/6). Suppose -3*r = -28 + m. Let u = 1 - 1. Solve u = 5*z - 1 - r for z. 2 Suppose 3*s + d = -3*d + 21, -3*s = -3*d. Let u be ((-2)/3)/((-8)/60). Solve s*b - 2*b = u for b. 5 Let a = 5 - 2. Let o be a/(-12) - 13/(-4). Solve 0 = o*d - 15 + 3 for d. 4 Let y = 3 + -1. Let x be -3*2*(-5)/10. Let a be (-38)/(-2) - (0 + -1). Solve -y*w = x*w + a for w. -4 Suppose g - 3*g - 80 = -4*d, 2*d = 3*g + 40. Let k = d - 17. Solve 5*a + 2 = k*a for a. -1 Suppose -10 = -8*l + 9*l. Let o = l - -10. Solve o = g - 5*g - 8 for g. -2 Let s(n) = n**2 - 11*n - 5. Let i be s(11). Let c be (1/3)/(i/(-90)). Solve c - 3 = -o for o. -3 Let d = -272 + 281. Let z(a) = a**2 + 3*a - 3. Let q be z(2). Let r be q/3 + 2/(-6). Solve d = r*h + h for h. 3 Suppose -2*x - v = -10, 3*x - 2*v - 8 = -0*x. Solve 3*n - x*n = -4 for n. 4 Let j(v) = -v**3 - 8*v**2 + 10*v + 10. Let o be j(-9). Let h = o + -1. Solve -9*m + 4*m = h for m. 0 Let f = -5 + 7. Suppose l - f*l = 0. Suppose 0*u - 2*u = 3*q - 21, 0 = 2*q - 10. Solve l - 12 = u*c for c. -4 Let d(r) = 4*r - 1. Let t be d(2). Suppose t*s + 20 = 11*s. Suppose -2*o + 2*m + 10 = 0, -3*o + 5*m + 19 = -0*m. Solve -o*l = -2*l + s for l. -5 Let i be (3 - 0)*(-80)/(-24). Let j = 15 - i. Solve 8 = j*y - 3*y for y. 4 Suppose -35 = 3*u - 41. Solve 2*o + u - 12 = 0 for o. 5 Let u(j) = j**2 - 5*j + 4. Let d be u(6). Suppose 0 = q - 6*q + d. Solve q*l - l + 3 = 0 for l. -3 Let v(n) = -n**2 + 9*n - 1. Let b be v(7). Let r = -10 + b. Solve 2*z - 25 = -r*z for z. 5 Let u(o) be the third derivative of -o**5/60 - o**4/4 - 2*o**3/3 - o**2. Let a be u(-5). Let q be 2/4*6 + (-169)/(-13). Solve a = -5*b + q for b. 3 Suppose -2*k + 6*k = 0. Solve k = u - 0*u - 4 for u. 4 Suppose 4*v = -8, -3*v - 1 - 6 = -x. Suppose -b + 4 = 0, 2*a = 3*b - 3 - x. Solve -13 = -3*q - a for q. 3 Suppose 5*w = -3*u + 11, -2*w = -0*u - 5*u + 8. Suppose -u*v = v. Suppose -i - 8 + 2 = -4*p, 3*p = 4*i - 2. Solve -6*r + i*r - 20 = v for r. -5 Let w be 1/(-1)*(0 + -3). Suppose -i - 5*g - 21 = 0, 0 = 2*i + w*g - 5*g - 18. Suppose -10*t = -8*t. Solve t = h + h + i for h. -2 Let u = 19 + -13. Let x = u - 1. Solve x = 2*z - 1 for z. 3 Suppose -18 - 28 = 2*z. Let k = -20 - z. Solve k*q + q = 8 for q. 2 Let o(k) = k**2 - 9*k - 16. Let j be o(11). Suppose -j*u + 4 = -2*u + 2*g, 5*u + 6 = 3*g. Solve 2*p + 0*p - 2 = u for p. 1 Let y(q) = -q**3 + 13*q**2 + 13*q + 18. Let g be y(14). Solve 2*f - 2 = g for f. 3 Let r(w) = -w**3 - 3*w**2 + 3. Let q be r(-3). Let h be -5 + q + 16/4. Solve -h*k = -4*k + 2 for k. 1 Let q(k) = -k**3 + 2*k**2 + 2*k + 1. Let a be q(-1). Let z(h) = h**2 - 2*h + 3. Let n be z(a). Solve 5*m + n = -7 for m. -2 Let a(q) = q**3 - 3*q**2 - 3*q - 3. Let s = 9 + -5. Let t be a(s). Solve 2*f + t + 3 = 0 for f. -2 Let l be (30/8)/((-12)/(-64)). Let m be (-10 + 1)*(0 - 1). Let s be 3/(m/(-2))*-6. Solve w = -s*w + l for w. 4 Let v be (-9)/2 - (-6)/4. Let w = 13 + v. Let b = w + -10. Solve -5*x + 14 - 4 = b for x. 2 Let x = 9 + -2. Let l(f) = -f**2 + 7*f + 5. Let h be l(x). Suppose 0 = -j + 3, 4 = h*u - 5*j - 11. Solve 0*k = -2*k - u for k. -3 Suppose 0 = 3*t - 2*t - 2. Let n = -1 - 0. Let d be n + t + 0 + 2. Solve d*j = -2*j for j. 0 Let s(x) = -x**2 + 16*x - 13. Let y be s(15). Solve -4*d = -y*d + 10 for d. -5 Let d = -24 + 28. Solve 0 = -0*c + 4*c - d for c. 1 Let y be -5 + 1 + 4 + 5. Solve -4*m = -y - 7 for m. 3 Suppose 5*m = 10*m - 20. Solve 15 = -m*o - 1 for o. -4 Suppose 0 = 3*q + 2*z - 14, -3*q + 2 + 7 = -3*z. Solve o = 2*o - q for o. 4 Let l(j) = -j + 5. Let p be l(3). Solve -2*c = p*c - 12 for c. 3 Let w(t) = t - 2. Let r be w(10). Let i be 34/r + 8/(-32). Solve i = -o - 0 for o. -4 Suppose 0 = -5*j + 4*a + 11, -4*j + 5*a = 3*a - 10. Solve -j*p = 2 - 17 for p. 5 Let x(n) = n + 7. Let r be x(-3). Solve r*v + 0 = -12 for v. -3 Let v be 4*1 - (4 - 3). Let l be ((-6)/(-7))/(3/21). Let g be ((-25)/(-2))/(3/l). Solve -v*i - 2*i = g for i. -5 Suppose o = 1, 5*v = -0*o + 2*o + 73. Let f = v - 11. Suppose 0 = -3*j, 4*i + 2*j = f*j. Solve 5*y + 0*y - 10 = i for y. 2 Let t be (12/10)/((-6)/(-20)). Suppose -4*n + 12 = -52. Suppose 0 = d - 15 - n. Solve t*x - d = -11 for x. 5 Let f(d) = -d**3 - 6*d**2 + 7*d + 4. Let u be f(-7). Let r = 2 - -1. Suppose 0 = r*y - 6*y - 4*b - 11, 2*b = u*y - 22. Solve -y*h + 3 + 6 = 0 for h. 3 Let m be 18/(-30) - 0 - 28/(-5). Solve 3 = -4*t - m for t. -2 Let w(u) be the second derivative of u**5/20 - 5*u**4/6 + u**3/3 - 4*u**2 - u. Let z be (5/(-2))/((-2)/8). Let p be w(z). Solve 2*h - p = 5*h for h. -4 Suppose 8*y = y + 14. Suppose -4*q + 4 + 2 = k, -4*k - 16 = -4*q. Let a be (k/(-4))/(1/26). Solve -a + 5 = y*s for s. -4 Suppose 0 = -v - r - 6, -4*v - 7 = 3*r + 15. Let i(n) = n**2 + n - 2. Let g be i(v). Solve -g = z + z for z. -5 Suppose o = -4*l + 2*o + 43, 2*o = 10. Suppose 5*r = r + l. Solve y = r*y + 10 for y. -5 Let t(h) = h + 10. Let i be t(-7). Let p be (-502)/(-8) + (-7)/(-28). Suppose -p = -5*f - 3*y, 0 = -4*f + 3*f + 4*y + 31. Solve 0*b = -i*b - f for b. -5 Let k = 8 - 1. Let s = k + 11. Let p = s + -2. Solve -w = 3*w - p for w. 4 Let q(g) = -4*g - 1. Let d be q(-2). Let s(r) = 3*r + 1 + 0*r - r + d*r**2. Let x be s(-1). Solve -h = h - x for h. 3 Let h(m) be the first derivative of -m**4/4 + m**3 - 2*m - 2. Let b be h(2). Suppose u = 5*a, -2*a + 12 = u + u. Solve -z + b = u for z. -3 Let o(t) = t**2 + 12*t + 36. Let s be o(-8). Solve -5*w + 9*w = -s for w. -1 Let o be 66*(1 + 5/(-3)). Let y = o - -29. Let k be (-64)/(-10) + 6/y. Solve 3*z + 0 = -k for z. -2 Let v(n) be the second derivative of -n**4/12 - 5*n**3/6 - n**2 + 7*n. Let l be v(-2). Solve 0*g - g = -l for g. 4 Let w(i) = i + 8. Let y be w(4). Suppose 4 = 4*t + y, t + 22 = 5*k. Solve 0 = -k*a - 0 + 20 for a. 5 Let l(t) = -10*t - 1 - 5 - t**2 - 3. Let z be l(-9). Solve 4*a - 12 + 0 = z for a. 3 Suppose 0 = -4*i - 33 + 5. Let j = 7 + i. Solve -x = -j + 5 for x. -5 Suppose 0 = 3*y - 7*y - 20, 5*y = 2*p - 7. Let z be ((-12)/p)/(8/12). Solve h + z = -2 for h. -4 Let u = 24 - 20. Suppose 0 = -u*j - 20, 4*m + 16 = 3*m - 4*j. Solve 3*h = 1 - m for h. -1 Suppose -5*x + 0 + 7 = -3*g, 2*g + 13 = 5*x. Let m be g/(-4) + (-7)/(-2). Suppose m*f + 32 = 4*r, 3*r - 18 = 2*f + f. Solve -r = 5*a + 15 for a. -5 Let m = -7 - -10. Suppose 0 = -y + m. Suppose -2*s - 6 = -3*s + 3*l, 0 = 2*s + 3*l - y. Solve s*f - 16 = -f for f. 4 Let t(w) = w**3 + 6*w**2 + w + 3. Let f be t(-6). Let i be f + (-1 - -2) - -2. Solve -5*m = -25 - i for m. 5 Let r(f) = -f**2 + 13*f + 3. Let d be r(13). Suppose d*w - 5*w + 4 = 0. Solve -3*s = -w*s - 3 for s. 3 Let b(r) = r**3 + 16*r**2 + 15*r + 3. Let f be b(-15). Solve -3*n + f = 15 for n. -4 Let d(w) = -w**2 - 7*w + 11. Let j be d(-8). Let u be (6 + 6)/(j/2). Suppose -y = y - u. Solve 4 = -y*l + 8*l for l. 1 Suppose 9*a = 6*a - 18. Let h be 16/(-6)*a/4. Solve 1 = -w + h for w. 3 Let i be ((-4)/6)/(6/(-45)). Let b = -25 + 41. Solve 0 = i*y - b - 4 for y. 4 Let k(c) = c**3 - c**2 - c. Let x be k(2). Solve g = -4 + x for g. -2 Let z(c) = c**3 - 4*c**2 - c. Let t be z(4). Let h be (t + 1)/(3/(-5)). Solve 2*a
{ "pile_set_name": "DM Mathematics" }
t z(t) = -6*t**2 + 3*t - 2. Let s be 22/(-4) - 5/10. Let c = -2 - s. Let l(j) = -13*j**2 + 7*j - 5. Determine c*l(i) - 9*z(i). 2*i**2 + i - 2 Let h(r) = -7*r**3 + 4*r**2 + 4*r. Suppose -2*j + 5*y - 21 = -7, 0 = j - 2*y + 7. Let i = -3 - j. Let g(v) = -6*v**3 + 3*v**2 + 3*v. Give i*g(q) - 3*h(q). -3*q**3 Let q(l) be the third derivative of l**5/60 + 5*l**4/24 - l**2. Let p(g) = -3*g**2 - 14*g. Suppose -3*w = -j - 5, 0*j - j = 5*w + 13. Determine j*q(c) - 3*p(c). c**2 + 2*c Let h(b) = -62*b**3 - 5*b**2 - 5*b - 5. Let d(o) = -31*o**3 - 3*o**2 - 3*o - 3. Give 5*d(m) - 3*h(m). 31*m**3 Let l(q) = 5*q + 1. Let y(s) = 26*s + 5. Let k(g) = -33*l(g) + 6*y(g). Let x(j) be the first derivative of 13*j**2/2 + 4*j + 1. Calculate 7*k(v) + 5*x(v). 2*v - 1 Let j(l) be the third derivative of l**5/60 - 2*l**2. Let g(d) = -d**2 - 3*d + 5. Let w be g(-5). Let z(u) = -7*u**2 + 1. Calculate w*j(y) - z(y). 2*y**2 - 1 Let a(u) = -4*u**3 + 2*u + u**2 - 3*u**2 + 4*u**2 - 2. Let b be 22/8 + (-1)/(-4). Let x(v) = 1 + 3*v**b + 0 - 2*v**3. Give a(l) + 2*x(l). -2*l**3 + 2*l**2 + 2*l Let r(p) = p + 2*p**3 + 8*p**2 + 0 - 2*p + 6. Let n(t) be the second derivative of 0*t**3 + 2*t - 1/12*t**4 - 1/2*t**2 + 0. Calculate 6*n(c) + r(c). 2*c**3 + 2*c**2 - c Let q(c) be the first derivative of c**4/2 - 5*c**2/2 - 5*c + 1. Let s = -201 + 186. Let r(i) = -i**3 + 2*i + 2. Calculate s*r(v) - 6*q(v). 3*v**3 Let q(c) = -2*c**3 + 3*c**2 + 6*c + 2. Let w(y) = -y**2 - y - 1. Determine q(b) + 6*w(b). -2*b**3 - 3*b**2 - 4 Let g(s) = 3*s - 24. Let x(b) = 4*b - 36. Calculate -7*g(n) + 5*x(n). -n - 12 Let s(g) = -3*g + 3*g + g. Let u(j) = j. Determine -s(v) + 6*u(v). 5*v Let p(g) = -g + 3. Let f(n) = 3*n - 12. What is -2*f(m) - 9*p(m)? 3*m - 3 Let x(o) = 6*o**3 - 4*o + 2. Let s(u) = 6*u**3 - 5*u + 3. Determine -4*s(j) + 5*x(j). 6*j**3 - 2 Let c(m) = -4*m - 2. Let u(h) = 5*h + 2. Let l(f) = -f - 27. Let i be l(-24). Determine i*u(v) - 4*c(v). v + 2 Let z(n) = -7*n - 2. Let k(d) be the third derivative of -d**5/60 + d**4/6 + 3*d**2. Let m be k(5). Let q(x) = 6*x + 2. Give m*q(j) - 4*z(j). -2*j - 2 Let f be (-3 + 1)/((-4)/6). Let k(x) = x - 2. Let h(n) = -3. Determine f*k(l) - 2*h(l). 3*l Let x(y) = -4 + 3*y - 2*y - 2*y. Suppose 2*w = -4*w + 24. Let n(f) = -f + 0 + 3 + 2*f. Give w*n(d) + 3*x(d). d Let t be ((16 + -2)/2)/(-1). Suppose -4*w + 9*w = 0. Let p(c) = c - 1 + w*c - 3*c + c. Let g(i) = -i - 1. Give t*p(v) + 6*g(v). v + 1 Suppose 4*p = 2*w + 10, -3*w - 2 = -2*w + p. Let o(b) = -2*b**2 - 3*b + 1. Let h(g) = -g**3 + 3*g**2 + 4*g - 2. Calculate w*o(d) - 2*h(d). 2*d**3 + d + 1 Let z(w) = w**3 + 3*w**2 - w + 5. Let g(m) = 3*m + 71. Let h be g(-24). Let o(u) = u**3 + u**2 + 1. Determine h*z(x) + 3*o(x). 2*x**3 + x - 2 Let z(s) = -10*s**2. Let g(t) = 0*t**2 - 2*t**2 + 2*t**2 + t**2. Give -8*g(k) - z(k). 2*k**2 Let x(y) = 20*y - 16. Let p(l) = l - 1. Suppose -5*o + 3*w = -0*o - 71, -2*o - w = -35. Calculate o*p(c) - x(c). -4*c Let g(c) = 3*c + 5*c + 3*c**2 - c - 5. Let d(w) = 4*w**2 + 8*w - 6. What is 5*d(m) - 6*g(m)? 2*m**2 - 2*m Let r be -1 + (3 - ((2 - 3) + 2)). Let c(n) = 6*n**2 - 5*n + 5. Let s(u) = -u**2 + u - 1. Give r*c(f) + 5*s(f). f**2 Let s = -14 + 10. Let o(p) = 23*p**2 + 2*p - 22*p**2 - 2*p. Let j(g) = -2*g**2 - 2*g. Calculate s*o(d) - j(d). -2*d**2 + 2*d Suppose -14 = -4*f + 14. Let y(o) be the third derivative of -5*o**4/24 + 3*o**3/2 + o**2. Let v(b) = 2*b - 4. Give f*v(u) + 3*y(u). -u - 1 Let f(a) = 15*a**3 - 13*a + 4. Let h = 12 - 18. Let j = -29 - -58. Suppose 10 + j = -3*r. Let x(d) = -7*d**3 + 6*d - 2. Give h*f(s) + r*x(s). s**3 + 2 Let q(l) = -l. Let r(m) = -2*m. Let x = -82 + 83. Determine x*r(v) - 3*q(v). v Let l(r) = 30*r**2. Let i(v) = -31*v**2. Determine -4*i(g) - 3*l(g). 34*g**2 Let b(u) = 5*u**2. Let s(i) be the third derivative of -11*i**5/60 + 9*i**2. Suppose -8*n + 3*n = -35. Give n*b(r) + 3*s(r). 2*r**2 Let i(k) = k. Let z(h) = -2*h - 6. Determine i(d) + z(d). -d - 6 Let o(t) be the third derivative of -2/3*t**3 + 3*t**2 + 0*t + 0 + 1/15*t**5 + 0*t**4. Let w(k) = -2*k**2 + 2. Determine 2*o(y) + 5*w(y). -2*y**2 + 2 Let x(t) = t**3 - 2*t. Let j(y) = y**2 + 3*y. Calculate -2*j(l) - 3*x(l). -3*l**3 - 2*l**2 Let n(b) = -2*b**3 - 4*b**2 + 6*b. Suppose 2*t - 15 = t - 4*y, 0 = 5*t - y - 12. Let w(g) = -g**3 - 3*g**2 + 5*g. Give t*n(a) - 4*w(a). -2*a**3 - 2*a Let c(b) = 2 - 7*b - 11*b**2 + 6 - 4 + 7. Let n(v) = 7*v**2 + 5*v - 7. Calculate -5*c(o) - 8*n(o). -o**2 - 5*o + 1 Let j(m) = -14 + 5*m**2 + 0*m**2 - 7*m - 2*m**3 + 11 + 10. Let b(d) = -3*d**3 + 6*d**2 - 8*d + 8. What is 5*b(l) - 6*j(l)? -3*l**3 + 2*l - 2 Let f = 21 + -11. Let w(l) = l**2 + l - 2. Let v(u) be the third derivative of -u**5/20 - u**4/8 + 5*u**3/6 - 8*u**2. Give f*w(s) + 4*v(s). -2*s**2 - 2*s Let u(d) = 8*d**3 + d**2 - 2. Let f(k) = k**3 + 1. Calculate 2*f(p) + u(p). 10*p**3 + p**2 Let d(u) = -2*u**2 - u + 3. Let o(n) be the third derivative of n**5/60 - n**3/6 + 33*n**2. Determine -d(l) - 4*o(l). -2*l**2 + l + 1 Let k(j) = -3. Let f(g) = -g - 3. What is -3*f(o) + 2*k(o)? 3*o + 3 Let y(j) = 3*j**3 - 2*j**2. Let m be 7/(-2)*4/2. Let i(g) = -3*g**3 - g**2 + 8*g**3 - 3*g**2. Determine m*y(s) + 4*i(s). -s**3 - 2*s**2 Let b(f) = -f - 4. Let z(w) = -w - 1. Let k(o) = -b(o) + 2*z(o). Let x be (4 - 3) + 2 + -10. Let t(l) = -l + 8*l - 2 - 10*l + 4*l. Give x*k(c) - 6*t(c). c - 2 Let r(p) = -2*p**2 - 2*p + 6. Let f(h) = -h - 11. Let l be f(0). Let i(z) = -5*z**2 - 5*z + 17. Let s be (-3)/9*(-12)/1. Give l*r(u) + s*i(u). 2*u**2 + 2*u + 2 Let w be ((-1)/2)/((-1)/14). Let r(g) = 3*g + 2. Let h(t) = 23 + 22 - 66 - 2*t + 20. Calculate w*h(b) + 4*r(b). -2*b + 1 Let i(c) = 13*c - 3. Suppose g + 4*g = -35. Let h(r) = 2 - 9*r + 1 - 1. Calculate g*h(t) - 5*i(t). -2*t + 1 Let l(d) = -3*d**2 + 2*d + 5 + 3*d**3 - 6*d**3 + 2*d**3. Let j(s) = 2*s**2 - 2*s + s - s - 4 + s**3. Calculate 5*j(m) + 4*l(m). m**3 - 2*m**2 - 2*m Let h(j) = j. Let r(l) = -4*l + 1. Let k = 35 - 34. What is k*r(q) + 3*h(q)? -q + 1 Let w(o) = 32*o**2 + 7*o - 2. Let l(z) = 31*z**2 + 6*z - 2. Determine -7*l(p) + 6*w(p). -25*p**2 + 2 Let r(x) = 1. Let n(g) = -g - 4. Let d(a) = 2*n(a) + 10*r(a). Let t(i) = i. Determine d(w) - t(w). -3*w + 2 Let v(i) = 5*i**2 - 5*i + 8. Let d(q) = -11*q**2 + 11*q - 17. Let r = -74 - -68. Determine r*d(z) - 13*v(z). z**2 - z - 2 Let x(w) = w**2 + w. Let a(v) = -5*v**2 - 52*v - 1. Determine a(u) + 3*x(u). -2*u**2 - 49*u - 1 Let d = 169 - 175. Let w(l) = -5*l - 6. Let z(s) = 17*s + 9. Let n(g) = 8*g + 5. Let i(o) = 5*n(o) - 2*z(o). Determine d*i(c) - 7*w(c). -c Let w(x) = 2*x**3 + 2*x + 2. Suppose 0 = -3*s + 2*o + 7, 4*s + 4*o + 14 = -10. Let y(h) = h + 1. Give s*w(r) + 2*y(r). -2*r**3 Let s(v) = -23*v**2 + 20*v - 20. Let o(m) be the third derivative of 2*m**5/15 - 7*m**4/24 + 7*m**3/6 - 7*m**2. What is 17*o(l) + 6*s(l)? -2*l**2 + l - 1 Let s(x) = 7*x**2 + 6*x - 6. Suppose 3*n + 3*q + 6 = 4*n, 5*n + q = 30. Suppose l = n*l - 5. Let g(b) = 2 + b - 1 - 2 + b**2. What is l*s(k) - 6*g(k)? k**2 Let g(o) = -o + 6. Let r(b) be the first derivative of -b + 3. Let k(d) = -3. Let u(t) = k(t) - 4*r(t). Give g(l) - 6*u(l). -l Let h(w) = -5*w**2 - 8*w. Let s(v) = v**2 + v. Let f be 16/(-88) + 13/11. What is f*h(t) + 6*s(t)? t**2 - 2*t Let q(v) = -v - 3. Let p(g) = 9 - 8 - 7 - 1 - 2*g. Determine 2*p(b) - 5*q(b). b + 1 Suppose -5*g + 0 = p - 2, 4*g - 4 = 0. Let r(c) = -2*c**3 - 3*c**2 - 3*c - 3. Let i = 46 + -54. Let v(t) = 5*t**3 + 8*t**2 + 8*t + 8. Give i*r(y) + p*v(y). y**3 Let n(f) = -f + 1. Let x(g) = -10*g + 16. What is -18*n(a) + 2*x(a)? -2*a + 14 Let b(g) = -g - 1. Suppose -4*x + 6 = 2*h + 4, 5*x - 7 = 2*h. Let l(c) = 4*c**2 - 5*c - 5. Determine x*l(z) - 5*b(z). 4*z**2 Let p = -4 + 5. Let v(f) = f**2 - 3*f**2 - p - 2*f - 3*f. Let h(c) be the first derivative of c**3/3 + c**2/2 + 30. What is 4*h(g) + v(g)? 2*g**2 - g - 1 Let y(g) be the third derivative of 0 + 0*g + 2/3*g**3 + 3*g**2 - 5/24*g**4. Let l(j) = 9*j - 7. What is -4*l(d) - 7*y(d)? -d Let y(j) = 2*j**2 + 3*j + 1. Let m(c) = c**2 + 3*c + 1. Suppose -4*x = 3*d + 24, 3 + 4 = -x - d. What is x*m(w) + 2*y(w)? w**2 - 3*w - 1 Let x = -4 + 11. Let n = x - 5. Let g(v) = -v**n + 0 + 4 - 1. Let o(s) = -2*s**2 + 4. Determine 4*g(k) - 3*o(k). 2*k**2 Let d(s) = -s**3 + s. Let h(r) = -8*r**3 + 4
{ "pile_set_name": "DM Mathematics" }
is the nearest to z? (a) p (b) f (c) -3 b Let u = 0.14 + -7.14. Let s = 4 + u. What is the nearest to 1/4 in 4, s, -2/7? -2/7 Suppose -z - 15 = 4*z. Let f be (0 + (z - -1))/(-8). Let c be ((-2)/9)/(63/(-81)). What is the closest to c in 1/3, 4, f? f Let d = 8 + 2. Let z = -10 + d. Let c = -183/35 - -24/5. What is the closest to z in -7, c, 3? c Let h = 3 - 2.8. Let n = 1.593 + -1.693. What is the closest to n in h, -5, -0.5? h Let g = 2.21 + -2.3. Let j = g - 0.31. What is the closest to -4 in j, -4, 3? -4 Let d be (-3)/9 + 5/105. Let w be 45/12 + 3/(-4). Which is the nearest to d? (a) w (b) 1.4 (c) -3 b Let o = -494 + 491. Which is the nearest to -1? (a) 0.29 (b) -0.2 (c) o (d) -5 b Let a(i) = -i**2 - 7*i - 13. Let w = -6 - 0. Let y be a(w). Let b = 8 + y. What is the nearest to 0 in b, 0.5, 2/11? 2/11 Let p = -12/115 - -338/1035. Which is the nearest to 0.03? (a) -0.4 (b) p (c) 0 c Let n = -1.8 - -2. Suppose 0 = -53*m + 38*m - 75. What is the nearest to 0.1 in -4, n, m? n Let c = -2.775 - -2.075. Let p = -0.22 - 0.08. What is the nearest to c in 2/7, -3/5, p? -3/5 Let t be (-1042)/860 - (-2)/1. Let p = t + 1/86. Let k be ((-2)/(-8) + 0)*-4 - -5. Which is the closest to 0? (a) p (b) k (c) 1/3 c Let s = -83 + 55. Let l = 141/5 + s. Which is the closest to 8/7? (a) -2/9 (b) l (c) 1/3 c Let x = -26.72 + 24.1. Let s = 2.8 + x. Let p = s + -0.28. Which is the nearest to p? (a) 0.2 (b) -2/7 (c) 0 c Let u = 1512 + -3023/2. What is the closest to u in 3, 2, -3? 2 Let k = -0.7 + 0.76. Let z = -0.94 - k. Let b = -2 - 2. What is the nearest to 0.1 in b, z, 5? z Let h(m) = -m**3 - 8*m**2 - 5*m + 10. Let d be h(-7). Let c(i) = 3*i - 128. Let u be c(43). What is the closest to d in -1/3, u, 0.3? -1/3 Let k = 3 - 3. Let t = -5.432 + 5.432. What is the nearest to t in k, -3, 1? k Let r = -497.3 + 497. What is the nearest to 0 in 7, r, 0.5, -0.4? r Suppose 3*f + 2*j - 5 = 0, -5*f + j = -8*f + 10. Let q = 0.2 + 1.8. Which is the nearest to q? (a) 2/15 (b) 3 (c) f b Let n be 12*1/(8/12). Suppose -5*j + 2*k = n, 2*k + 1 = 4*j + 17. Let o(s) = s**2 - 4*s - 3. Let a be o(4). What is the nearest to 2/3 in a, -1/7, j? -1/7 Let q = 17.6 - 16.6. What is the nearest to q in 0.3, 8, 4? 0.3 Let q be (-2)/(-78)*66/(-4). Let s = q - 1/182. What is the closest to 3 in 2, s, 1/4? 2 Let o = -24 + 49/2. Let k = -270 + 269.5. Let l = 1.1 + -0.1. What is the nearest to l in k, -3, o? o Suppose -2*m = -2*t - 12, 12*t - 8*t - 3*m + 20 = 0. What is the nearest to 2/9 in t, 3, -6/13? -6/13 Let j(q) = -q**2 + q - 1. Let l be j(0). Which is the closest to -1? (a) -3 (b) -2/5 (c) l (d) -5 c Suppose 5*t = -13*t - 162. Which is the nearest to 1/3? (a) -5 (b) 1/3 (c) t b Let o(j) = -14*j**2 + j + 5. Let i be o(-3). Let k be 6/(-2) - 3/(132/i). What is the closest to 0 in -0.2, -0.3, k? k Let y = 1.5 - 2. Let a = -2 + 2. Let k = -263 - -1047/4. What is the closest to a in y, -2/9, k? -2/9 Let g = 0.051 + 0.049. What is the closest to 2/3 in 0.02, g, -0.1? g Let i be (-2)/10 + 18/30. Let u = 164 - 165. What is the closest to -0.1 in u, i, 2/27? 2/27 Let t = 227 - 222. Which is the closest to 0.1? (a) t (b) 3/5 (c) -17 b Let c be 450/100 - 2/(-4). What is the closest to c in -6/7, 5, -5, 0.1? 5 Let r = 797.3 - 797. Which is the nearest to 0.1? (a) r (b) -0.2 (c) 1/3 (d) -7 a Let q = 0.2 + -0.1. Let c be (-3)/(-21) - 9/14. Let f = 6 + -10. What is the closest to q in -1/5, c, f? -1/5 Let d = 3 - 7. Let k(z) = -2*z - 20. Let y be k(-7). Let p be y/(-18)*18/10. Which is the closest to -2/11? (a) d (b) -2/3 (c) p b Let t be -10 + (-3)/(-6) + (-9)/(-2). What is the closest to 2 in -2/7, t, 4? 4 Let a = 111 + -111. What is the closest to 1 in a, -2/91, 4? a Let o = 69 - 69. What is the closest to o in 5/4, 3, 0.3? 0.3 Let n = 107 + -107.1. What is the closest to -0.1 in 5, n, -7/8? n Let f = -0.004 + 0.004. Which is the closest to f? (a) 1 (b) -2/21 (c) 1/7 b Let y be (-97)/(-5) + 3/5. Let u be 8/32 + 3/y. What is the nearest to u in -0.5, -0.4, -2/25? -2/25 Let t = 0.258 - -0.242. What is the closest to 0 in t, -1/5, -4, -0.03? -0.03 Let z = -1506 - -13553/9. Let o = 0.3 - 0.7. What is the nearest to 1 in z, 2/5, o? 2/5 Let f be 10/(-60)*(-8)/(-2). Let j = -1 - -5. What is the nearest to f in -1/3, j, -5? -1/3 Let y(k) = -4*k - 24. Let u be y(-6). Which is the nearest to u? (a) -1/4 (b) 1/3 (c) 1.6 a Let z(u) = 2*u**2 + 3*u - 2. Let l be z(-2). Let w = -3 - -3.3. Which is the nearest to 0? (a) -3/4 (b) l (c) w b Let w = -0.6 - 0.4. Let d(g) = g**3 - 17*g**2 + 16*g - 4. Suppose -33 = -y - 17. Let t be d(y). Which is the closest to -1? (a) -0.1 (b) t (c) w c Let j = -42 + 295/7. Let w = -0.6 - -0.4. What is the closest to -0.1 in w, j, 0.1? w Let f = 99 - 89. Let x be (16/200)/((-1)/f). Which is the closest to -2? (a) 1/15 (b) -5 (c) x c Let j = 1262.14 + -1260. Which is the closest to j? (a) 0 (b) 5 (c) 1/3 c Let d = -12 + 13. Let s be (-2 - -3)*5/d. Let j be (-1)/s - (-84)/(-30). Which is the nearest to 0? (a) -1/3 (b) j (c) -1 a Let z = 10 + -9.9. Let h = z + 0.2. Let n = 5/31 + -107/279. Which is the nearest to n? (a) h (b) -2 (c) 0.4 a Let m be (-3)/(-2) - 728/624. Let z be 68/(-70) + 8/20. What is the nearest to 0 in 5, m, z? m Let c = 740 - 742. Let v = 0.3 + -0.4. What is the closest to -1 in 1/4, v, c? v Let x be 230/621*(-3)/(-5). What is the closest to 0.1 in -32, -0.3, x? x Let l = 4 - -3. Let n = -1/21 + -5/21. What is the closest to l in n, 1, 5? 5 Suppose 0 = 57*z + 20*z - 154. Which is the closest to -0.1? (a) 5 (b) 0.2 (c) z b Let f = 8.219 - 0.219. Which is the closest to -0.1? (a) -0.5 (b) f (c) 5 a Suppose -20 = -14*j + 120. What is the nearest to 2/5 in 5, j, -0.2, -4? -0.2 Let c be 30/10 + -12 - -5. What is the nearest to 0 in -0.5, c, -1/6, -0.4? -1/6 Let v = -19/4 + 103/20. Let h = -697/4 + 174. Let f = 7 + -4. Which is the nearest to h? (a) f (b) -2 (c) v c Let g = 1.1672 - 0.1672. Which is the closest to 1? (a) -25 (b) -5 (c) -2/7 (d) g d Let o = 43.834 + 0.166. Let x = -44.1 + o. What is the closest to -2 in 0.06, x, -1/6? -1/6 Let k = 604 - 604. Which is the nearest to -0.2? (a) 1/5 (b) k (c) -0.3 (d) -1 c Let r = -131 - -919/7. Let g = -56 - -59. Let v be ((-10)/(-12))/(-5)*1. What is the closest to -0.1 in r, v, g? v Suppose u + 5*y + 15 = 0, 3*u - 3 = -0*u - 3*y. Suppose 6*l - l = -u*p + 60, 2*p = 2*l - 36. Let w = l - 13. Which is the closest to w? (a) 2/7 (b) -4 (c) 0 a Let k = 51/14 - 47/14. What is the closest to 0 in -0.5, -0.3, k? k Let u = 0.2 + -0.2. Let g(q) = 5*q**2 - 48*q + 34. Let w be g(9). Which is the nearest to -0.1? (a) u (b) w (c) 2 a Let w = 1148.0612 - 1148. Which is the nearest to -1? (a) w (b) -1/8 (c) 1/3 b Let g = 0.0385 + 0.2615. Which is the nearest to 0? (a) g (b) -0.4 (c) 9.2 a Let k = 755.4 + -755. Which is the closest to -1? (a) k (b) -1/4 (c) 1/6 (d) -4 b Let x be (8/12)/(34*(-10)/(-60)). What is the nearest to 9/4 in 2/3, x, 2/11, 0? 2/3 Suppose -2*h = -0*h - 4, 4*h = 3*m - 4. Let p be 2 + -6 - (-12)/m. Let i be (-27)/6*p/3. Which is the closest to -3? (a) 0.1 (b) -2 (c) i b Let l = -0.21 + 0.31. Let y = -0.1 + 0.6. What is the nearest to l in -4, 6, y? y Let s = -0.26 - -0.13. Let z = s - 0.17. Which is the nearest to -1? (a) 0.5 (b) -1 (c) z b Let c = 128 + -130. What is the nearest to -0.1 in c, 119, -3? c Let k = 0.415 - 0.415. What is the nearest to -30 in 1/8, k, -1, 2/5? -1 Let b = 611 - 615. What is the closest to 2 in -5, b, 2/7, 14? 2/7 Let z = 13.5 + -14. Let j = 1 + z. Let v = 19 - 26. Which is the nearest to v? (a) 2 (b) j (c) -1 c Let a = 2632 - 2627. What is the closest to 1 in -18, 2/3, a, 3? 2/3 Let f = 41 + -40.6. Which is the nearest to -0.3? (a) 0.3 (b) f (c) 2 (d) -4 a Let y = -51013/5 - -10089. Let o = y + 114. Let v = -0.1 + -1.9. What is the nearest to -0.2 in -3, v, o? o Let w = -0.09 - -0.79. Let z = -1015.3 + 1015. What is the nearest to 0.1 in z, w, -2? z Let g be ((-2)/3)/(22/(-6)). Let t be 3/9 - 14/24. Let q = 14 + -68/5. What is the nearest to q in g, 2/23, t? g Let s = 0.00218 - -3.99782. Let f = 42 + -87/2. Let k = -0.2 - 0.8. Which is the nearest to k? (a) -1 (b) f (c) s a Suppose -8
{ "pile_set_name": "DM Mathematics" }
00192 and 3540? 708 Calculate the highest common factor of 372771 and 16653. 1281 Calculate the highest common divisor of 5256 and 2664. 72 Calculate the greatest common factor of 102 and 46869. 51 What is the highest common divisor of 943720 and 40? 40 What is the greatest common factor of 30 and 1713? 3 Calculate the highest common divisor of 417164 and 44. 44 Calculate the highest common factor of 21 and 25151. 7 Calculate the greatest common factor of 90683 and 2124. 59 What is the greatest common factor of 1829 and 326447? 59 Calculate the greatest common divisor of 20800 and 80. 80 Calculate the greatest common divisor of 650 and 80. 10 What is the greatest common factor of 201 and 178287? 201 What is the highest common factor of 3918600 and 36? 36 Calculate the greatest common divisor of 16 and 42892. 4 Calculate the greatest common factor of 751455 and 270. 45 What is the highest common factor of 98 and 10598? 14 What is the greatest common divisor of 630605 and 4640? 145 What is the highest common factor of 132 and 636? 12 What is the highest common factor of 224 and 592928? 224 Calculate the highest common factor of 26244 and 96. 12 What is the highest common divisor of 6768 and 1552? 16 Calculate the greatest common divisor of 984294 and 1192. 298 Calculate the highest common divisor of 1768 and 12623. 13 What is the highest common factor of 308 and 648802? 154 What is the greatest common factor of 9 and 48351? 3 What is the highest common factor of 178497 and 891? 297 Calculate the highest common divisor of 940766 and 32575. 1303 What is the highest common factor of 7994704 and 8? 8 Calculate the greatest common divisor of 36437 and 7138. 83 What is the greatest common factor of 208 and 482118? 26 Calculate the greatest common divisor of 133936 and 121. 11 What is the highest common divisor of 6275 and 52961? 251 What is the highest common factor of 799240 and 696? 232 Calculate the greatest common divisor of 36 and 3676. 4 Calculate the greatest common factor of 138564 and 492. 12 What is the greatest common divisor of 19514 and 44? 22 Calculate the highest common factor of 197730 and 54. 18 Calculate the greatest common divisor of 90 and 102. 6 Calculate the greatest common factor of 9469 and 400483. 557 Calculate the greatest common factor of 288 and 57276. 36 What is the greatest common divisor of 20 and 326? 2 What is the greatest common factor of 110766 and 30? 6 What is the greatest common factor of 178 and 18801962? 178 Calculate the greatest common divisor of 6216453 and 27. 27 Calculate the highest common divisor of 8140 and 48180. 220 What is the greatest common factor of 235 and 543085? 235 Calculate the greatest common factor of 9 and 147087. 9 What is the highest common factor of 9721880 and 56? 56 Calculate the highest common factor of 15525 and 49059. 621 What is the greatest common divisor of 3335 and 1081? 23 Calculate the greatest common divisor of 557552 and 16. 16 Calculate the highest common divisor of 4777 and 527. 17 What is the highest common divisor of 592 and 1376? 16 What is the highest common factor of 38232 and 9? 9 What is the highest common factor of 61545 and 38046? 1119 What is the highest common divisor of 11632 and 1344? 16 What is the highest common divisor of 164 and 13407? 41 Calculate the greatest common divisor of 1671848 and 304. 152 What is the highest common factor of 343 and 2219? 7 Calculate the highest common factor of 78761 and 738. 41 What is the greatest common divisor of 16 and 964632? 8 What is the highest common factor of 52628 and 236? 236 What is the highest common divisor of 78 and 135759? 39 What is the highest common factor of 456288 and 147? 147 Calculate the greatest common factor of 424002 and 6. 6 Calculate the greatest common factor of 3360 and 5082. 42 What is the greatest common factor of 404 and 1964147? 101 Calculate the greatest common divisor of 2843225 and 633. 211 What is the highest common divisor of 242 and 12584? 242 What is the highest common factor of 427871 and 5947? 313 What is the greatest common factor of 225201 and 2439? 813 Calculate the highest common divisor of 4113 and 171. 9 What is the greatest common factor of 10809 and 27? 9 Calculate the highest common divisor of 42 and 2563988. 14 Calculate the highest common factor of 1628 and 1408. 44 What is the highest common divisor of 36084 and 31? 31 Calculate the greatest common divisor of 13 and 20852. 13 What is the highest common divisor of 256 and 172352? 64 Calculate the highest common factor of 133 and 212743. 19 What is the highest common factor of 246 and 24026? 82 What is the highest common factor of 1152 and 2999232? 576 What is the highest common factor of 794 and 4? 2 Calculate the highest common factor of 46145 and 385. 55 What is the greatest common factor of 2007 and 279? 9 What is the highest common factor of 1054539 and 1269? 1269 Calculate the greatest common divisor of 58 and 22562. 58 Calculate the greatest common factor of 197173 and 37. 37 Calculate the greatest common divisor of 18912 and 480. 96 Calculate the highest common factor of 122 and 32696. 122 Calculate the highest common divisor of 28176 and 264. 24 What is the greatest common divisor of 1225 and 360395? 245 What is the highest common divisor of 465 and 3007? 31 What is the highest common divisor of 1432 and 3576? 8 Calculate the greatest common factor of 2532 and 13296. 12 Calculate the greatest common factor of 3402 and 42. 42 What is the highest common factor of 1794 and 1174518? 138 What is the greatest common divisor of 95703 and 483? 69 What is the greatest common divisor of 35496 and 97920? 1224 What is the highest common factor of 137934 and 6111? 873 What is the greatest common factor of 17 and 16847? 17 What is the greatest common factor of 8721 and 39474? 459 Calculate the greatest common divisor of 40712 and 112. 56 Calculate the greatest common divisor of 13824 and 74240. 512 Calculate the highest common divisor of 82641 and 897. 39 What is the greatest common factor of 78 and 35484? 6 Calculate the greatest common divisor of 12096 and 189. 189 Calculate the greatest common divisor of 544 and 127772. 68 Calculate the highest common factor of 35090 and 220. 110 Calculate the greatest common factor of 331 and 898003. 331 What is the greatest common divisor of 1957 and 19? 19 What is the greatest common divisor of 271612 and 11? 11 What is the greatest common divisor of 2192 and 1984? 16 What is the highest common divisor of 40795 and 1592? 199 Calculate the greatest common factor of 8151 and 10945. 11 What is the greatest common factor of 32 and 2000? 16 Calculate the highest common divisor of 549 and 5063. 61 Calculate the greatest common factor of 201490 and 30. 10 Calculate the greatest common divisor of 89211 and 7491. 681 Calculate the greatest common factor of 653144 and 608. 152 What is the greatest common divisor of 53452 and 138? 46 Calculate the highest common divisor of 73521 and 441. 63 Calculate the highest common factor of 33291 and 2055. 411 What is the highest common factor of 56 and 13094? 2 Calculate the greatest common factor of 3 and 183552. 3 What is the greatest common divisor of 54 and 203130? 18 Calculate the highest common divisor of 63 and 26327. 7 Calculate the highest common divisor of 47286 and 925. 37 Calculate the greatest common factor of 15925 and 25415. 65 What is the greatest common divisor of 864 and 405648? 432 What is the greatest common divisor of 3753 and 801? 9 Calculate the greatest common factor of 7745 and 60. 5 What is the highest common divisor of 624 and 9243312? 624 What is the greatest common factor of 5049 and 61710? 561 Calculate the greatest common factor of 775066 and 122. 122 What is the greatest common divisor of 144 and 66564? 36 What is the highest common divisor of 219 and 169287? 219 What is the highest common factor of 1485 and 139920? 165 What is the greatest common factor of 15680 and 1280? 320 What is the highest common divisor of 117 and 1396863? 117 What is the greatest common factor of 18125 and 87? 29 What is the highest common divisor of 129960 and 72? 72 What is the greatest common factor of 172 and 11665040? 172 What is the highest c
{ "pile_set_name": "DM Mathematics" }
4*b - 18 + 7*b + 18 + (-3*b + 5*b - b)*(3 + 3 - 4) + b - 3*b + 3*b. -6*b Expand (-4 + 1 + 5 - 2*v)*(-24 + 37 + 29). -84*v + 84 Expand 5*w - w - 5*w - 5*w + 3*w + 3*w + 373 - 373 - 138*w - 3*w + 2*w - w + (4 - 7 + 1)*(3*w + 0*w - w) + 0*w + 2*w - w. -143*w Expand (-d - d + 6*d)*(6 + 9 - 1)*(-3*d + 9*d + d)*(-2*d**3 - 4 + 4). -784*d**5 Expand (-3*o + o + o + (0 - 1 - 1)*(-o + o + 2*o) - 1 + 3*o + 1 + (0*o + 2*o + 0*o)*(4 - 4 + 2))*(-48 - 141 + 84) + 6*o - 4*o + 0*o. -208*o Expand (0*n**2 - 2*n**2 + n**2)*(7081 - 3002 - 3054 - 3880). 2855*n**2 Expand (20*w - 12*w + 46*w + w - 7*w + 3*w + (3*w - 2*w + w)*(-2 + 4 + 0))*(1 + 0 - 5). -220*w Expand (-40 + 10 - 10)*(-2 + 0 + 3)*(-2*c**3 - 5*c**3 + 0*c**3). 280*c**3 Expand (-2*o**4 + o**3 - o**3)*(-64*o - 64*o + 96 + 129*o). -2*o**5 - 192*o**4 Expand (-2*x**4 + 3*x**4 + x**4)*(0*x - x + 2*x) - 159*x + 313*x - 154*x - 210*x**5. -208*x**5 Expand 3*l**5 + 2*l**5 + 0*l**5 + (2*l**5 + 0*l**5 + 2*l**5)*(0 + 0 - 1) + 23 + 10*l**5 - 23. 11*l**5 Expand (-5*z - 2*z - z + (z - z - 3*z)*(22 - 64 + 25))*(-4 + 4 - 2*z) + (-1 + 2*z + 1)*(2*z - 4*z + 0*z). -90*z**2 Expand (28*k**2 - 30*k**2 + 30*k**2)*(-k**2 + 0*k**2 + 0*k**2) + (k**3 + 2*k**3 - 5*k**3)*(4*k + 3*k - 2*k). -38*k**4 Expand (3 - 2 + 0)*(-3*q**4 - 3*q**4 + 5*q**4) + 5*q**3 - 66*q**4 + 127*q**4 - 62*q**4 - 2. -2*q**4 + 5*q**3 - 2 Expand ((1 - 2 + 3)*(1 - 2 + 2) - 4 + 16 + 15)*(0*t + 0*t + 3*t)*(3 - 1 - 3)*(4 + 4 - 3). -435*t Expand -4*u - u + 4*u + (0*u + 3*u - u)*(3 + 3 - 5) - 4*u + 3*u + 3*u + 357 - 18 + 102 - 18 + 5*u. 8*u + 423 Expand -4*v**4 - v**4 + 4*v**4 + (-4*v**2 + 4*v**2 - 2*v**2)*(-3*v**2 + 5*v**2 - 4*v**2) + (-236*v + 126*v + 154*v)*(3 + v**3 - 3). 47*v**4 Expand (9*l**2 + 12*l**2 + 7*l**2)*(-1 + 1 + 2)*(-57*l**2 - 10 + 23 - 13). -3192*l**4 Expand (0 + 0 + 2*r**4)*(285 - 95 + 506) + 0*r**4 - r**4 + 0*r**4. 1391*r**4 Expand -1727*v**2 - v - 2 + 864*v**2 + 859*v**2 + (-4*v - 2*v + 5*v)*(5*v + 0*v - 4*v). -5*v**2 - v - 2 Expand (-3 + 7 - 1)*(90*i + 72*i + 27*i)*(2*i**2 - i**2 + i**2). 1134*i**3 Expand (3 - 3 - 2*a)*(-60 - 15 + 6)*(2*a**2 + 0 + 0) + 5*a**3 - 3*a**3 - 4*a**3. 274*a**3 Expand (1 + 1 - 4)*(-2*x**3 + 4*x**3 - 4*x**3) + 4*x**3 - 2*x**3 - x**3 + 3272 + 75*x**3 - 3272. 80*x**3 Expand (2*t**3 + 2*t - 2*t)*(5 - 3 - 3) + 4 - 4 + t**3 - 2*t - 8*t**3 - 3*t**3 + 4*t**3 + 0 + 4*t**3 + 0. -4*t**3 - 2*t Expand (-2 - 1 + 1)*(11 - 25*h - 18*h + 41*h + 15 - 15 + 3*h + (6 - 2 - 2)*(2*h + 0*h - 4*h) - 4*h + 3*h + 0*h). 8*h - 22 Expand (-11*m - 13*m + 9*m - 38*m)*(12 - 12 - 6*m). 318*m**2 Expand 174*l**3 - l**2 - 21*l - 172*l**3 + 21 - 22 + (2*l**2 - 3*l**2 + 0*l**2)*(0*l - l + 2*l) + 3*l + 2*l**3 - 3*l + 0*l - 2*l**3 + 0*l. l**3 - l**2 - 21*l - 1 Expand (-2*z**4 + 3*z**4 + 0*z**4)*(3*z - 2*z - 3*z)*(2 - 1 - 4) + (3*z**2 - 2*z**2 - 2*z**2)*(2*z**3 + 4*z**3 - 5*z**3). 5*z**5 Expand (-2*w**3 + 2*w**3 + 3*w**3)*(3 - 4 + 2) - 15*w**2 + w**3 + 15*w**2 - w. 4*w**3 - w Expand (-2*z + z + 3*z)*(-1 - 1 + 4)*(6 + 5 + 8)*(1 + 0 - 3). -152*z Expand 21*f**3 + f**4 - 386*f + 386*f + (-2*f**4 + 2*f**4 + f**4)*(-4 + 2 + 3). 2*f**4 + 21*f**3 Expand -2*a**2 - 2*a**2 + 5*a**2 + (2*a - a + a)*(-2*a - a + 4*a) - 3*a**2 + 4*a**2 + a**2 - 194 - 210*a**2 + 194. -205*a**2 Expand (-6*z + 3*z**2 + 6*z)*(-z - z + 3*z)*(0 + 2 + 0) - 87 + 2*z**3 + 2*z**2 + 87. 8*z**3 + 2*z**2 Expand (-2*t + 2 - 2)*(-2*t**4 - 4*t**4 + 5*t**4) - 2*t**5 + 5*t**5 - 4*t**5 + 2*t - t**5 - 2*t + (2 - 1 + 0)*(2*t**3 - 2*t**5 - 2*t**3) - 1 - 2*t**5 + 1. -4*t**5 Expand (4*v + 41*v**2 + 246093 - 246093)*(-3 - v**3 + 3). -41*v**5 - 4*v**4 Expand (-4*o + 2*o + 0*o)*(2 - 2 - 2*o**2) - 2*o**3 + 2*o**3 + 2*o**3 + (o**2 - 5*o**2 - 3*o**2)*(3*o + o - o). -15*o**3 Expand (2*f - 3*f - f)*(-4*f - 4*f + 6*f) - 8*f**2 + 4 - 2*f + 10*f**2 - 9. 6*f**2 - 2*f - 5 Expand (-358 + 60*i + 358)*(2*i + 5*i - 4*i) - i**2 - i**2 + 5*i**2. 183*i**2 Expand (-139*a + 402*a + 170*a)*(0*a + a + a). 866*a**2 Expand (-2*n + n + 2 + 3*n**3 - 6*n**3)*(12 + 69 + 84). -495*n**3 - 165*n + 330 Expand (3*r**3 + 72*r - 72*r)*(13*r + 5*r + 2*r). 60*r**4 Expand -144*s**4 - 59*s**4 - 23*s**4 + (s + 2*s - s)*(-3*s**3 + 6*s**3 - 2*s**3). -224*s**4 Expand ((d**2 - d**2 + 3*d**2)*(942 - 942 + 6*d) + 0*d**3 - 3*d**3 + d**3)*(-5*d + 2*d + 2*d) + 0*d**3 - d**4 + 0*d**3. -17*d**4 Expand ((-3 + 3 - j)*(1 + 0 - 2) + 0*j + 2*j + 0*j - 2 + j + 2)*(-4*j - j + j) - 12*j**2 + 23*j**2 - 52*j**2. -57*j**2 Expand 7 + 5*l**2 + 44*l - 45*l + 0*l**2 + 2 - l**2 - 2 + (-4*l + 4*l - 2*l)*(4*l - l - 4*l). 6*l**2 - l + 7 Expand -18*c + 2 - 17*c**2 + 18*c - 3 + (2*c - 11*c - 4*c)*(c - 5 + 5). -30*c**2 - 1 Expand (9 + 12 + 7)*(0 + 3*d**3 - 1 - 4*d**3 - d**3 - d + d + 0*d**3 - 2*d**3 + d**3 + (0 + 2*d**2 + 0)*(2*d - 4*d + 4*d)). 28*d**3 - 28 Expand (-2 - 4*d + 2)*(-d**2 + 0*d**2 + 3*d**2)*(6 + 0 + 0). -48*d**3 Expand 2*p - 2*p + 2*p**2 - p + p**2 + p + (-5*p**2 + p**2 + 2*p**2)*(-2 + 2 - 1) - 3*p**2 + 0*p**2 + 2*p**2 + 8*p**2 + 33*p**2 - 5*p**2. 40*p**2 Expand (l**2 - 2*l**2 + 0*l**2)*(-317 + 155 + 217*l + 159). -217*l**3 + 3*l**2 Expand (15 - l - 15)*(-19 - 6 + 6). 19*l Expand 94*p**3 - 2 + 1 + 8*p**3 + (-3 + 4 - 3)*(-p**3 + 2*p**2 - 2*p**2) + p**3 + 2*p**3 - p**3 - p**3 - p + p. 105*p**3 - 1 Expand 2*k**2 + k**3 - 2*k**2 + (-1 + 1 + 2)*(0*k**3 + 0*k**3 - 2*k**3) + (-2*k - k + k)*(1 + 0 + 0)*(5*k**2 - 5*k**2 - 6*k**2) + 4*k**2 - 4*k**2 + k**3. 10*k**3 Expand (4 + 0 + 0 - 3 + 3 - 1 + (3 - 3 + 1)*(-4 + 1 + 2))*(1 + 12 - 2*u + 0). -4*u + 26 Expand (11*x + 33 - 33)*(-1 - 1 + 1) - 4*x - 5*x + 4*x + (6 - 3 - 2)*(-x + 2*x + 0*x). -15*x Expand (19*m - 1 - 68*m + 29*m)*(0*m**3 - 2*m**4 + 0*m**3). 40*m**5 + 2*m**4 Expand (2*h**3 + 4*h**3 - 4*h**3)*(0*h**2 + 2*h**2 - 3*h**2) + (3*h**4 - 3*h**4 + 3*h**4)*(9*h - 25*h + 41*h). 73*h**5 Expand (m - 2*m + 4*m)*(-89 + 72 + 53). 108*m Expand -5*y**3 + 0*y**2 + 0*y**2 + (-y - 2*y + 4*y)*(y**2 + 2*y**2 - 2*y**2) + 2*y**3 + 0*y**2 + 0*y**2 + (-5 + 2 + 1)*(8*y**3 + 8*y**3 - 10*y**3)*(3 + 0 - 1). -26*y**3 Expand (15 - 30 + 11 - 7*v)*(v**2 + 0*v + 0*v)*(-2 + 3 + 1). -14*v**3 - 8*v**2 Expand (0*i + 5*i - 3*i + (2*i - 4 + 4)*(-1 + 0 + 5))*(3 + 8 - 43*i + 44*i). 10*i**2 + 110*i Expand (-5*l**2 + 4*l**2 - l**2)*(3 + l**2 - 3) - l**4 + l**4 - 5*l**4 - 6*l**4 + 10*l**4 + 6*l**4. 3*l**4 Expand (0*f**3 - f**3 + 2*f**3 + 142 - 142 + 33*f**3 - 3*f**2 + 3*f**2 - f**3 + (2*f**2 + 2*f**2 - 3*f**2)*(-f + f - f))*(3 - 1 + 0). 64*f**3 Expand (-1 + h**2 + 1)*(-4 + 4 + 12*h)*(-6 + 5 + 5)*(-2 - 2 + 5). 48*h**3 Expand -10 + 22954*s**2 - 22912*s**2 + 8 + 2*s - 5*s**2 + 2*s**2 + s**2 + (-4*s**2 + 3*s**2 - s**2)*(-1 - 2 + 4). 38*s**2 + 2*s - 2 Expand (-5*a + 2*a + a)*(-1 - 2 + 2) + (6 - 12 + 14)*(0*a - 4*a + 5*a). 10*a Expand -5*c + 3*c + 3*c**2 - 4*c**2 + 4*c**2 - 3*c**2 - 3*c**2 + (0*c + 3*c - 5*c)*(-25*c - 43*c - 59*c). 251*c**2 - 2*c Expand (-2*k + 4*k - k)*(15 - 11*k - 15)*(-3 - 3 + 7)*(0 + 6 - 8)*(4 - 4 + 1). 22*k**2 Expand (-2 - 2 - 6)*(d**2 - d**2 - d**2)*(-2*d + 7*d - 3*d + (2*d - 2*d + d)*(1 - 2 + 0))*(0 + 3 + 1)*(-6 - 10 + 3). -520*d**3 Expand -1 + h - 2*h + 2*h - 50 - 140*h + 53 - 317*h + (-1 - 1 + 3)*(-2*h + 1 - 1). -458*h + 2 Expand (227*b + 34*b - 43*b)*(-7 - 2*b + 7). -436*b**2 Expand (-r - r + 0*r)*(-r**2 - 5*r + 5*r) + 2*r**3 + 19 + 197512*r - 197512*r + 2*r**3 - r**2 + r**2 + (3*r - r**2 - 3*r)*(0 + 0 - r) - r**3 + 0*r**3 - r**3. 5*r**3 + 19 Expand (-2*u**2 + 3*u - 3*u + (-2*u + u + 4*u)*(1 - 1 + 5*u) - 3*u**2 + u**2 + u**2)*(-2*u - u - 2*u). -60*u**3 Expand 8*j - 7*j + 7*j + (-2 - 6 - 4)*(-1 - j + 1). 20*j Expand 2*o - 3 + 3 + (14 + 26 - 4)*(2*o - 3*o + 0*o). -34*o Expand 67 - 67 + 6*l**4 + (-18 + 6*l**3 + 18)*(-l - 6*l - 2*l). -48*l**4 Expand (10 - 10 - 9*l)*(-l**2 - 3*l**2 - 5*l**2) - 3*l**3 + 0*l**3 + 2*l**3. 80*l**3 Expand (3*z - 3*z**2 - 3*z)*(35*z + 11*z + 17*z) + (z**2 + 2*z**2 - 2*z**2)*(0 + 2*z + 0). -187*z**3 Expand (-3 - 4 + 1)*(4 + 29 + 62)*(-3*l + 8*l + 0*l). -2850*l Expand (2 + 0 + 1)*((-y + 2*y - 2*y)*(-4*y + 3 - 3) + y**2 - 2*y**2 + 0*y**2) + (2*y + 3*y - 2*y)*(-2*y + 0 + 0). 3*y**2 Expand (-2*y**2 + 0 + 0)*(-89 - 86 + 181 + 15*y)*(y**2 + y**2 + 0*y**2). -60*y**5 - 24*y**4 Expand (0*k**2 + 0*k**2 - 9*k**2)*(3*k + 0*k - 4*k)*(3 + 2 - 3). 18*k**3 Expand (122 - 84 - 67)*(-o**2 + 1 - 2 - o - o). 29*o**2 + 58*o + 29 Expand (-6*n + 20*n + 10
{ "pile_set_name": "DM Mathematics" }
u(i) = 330*i + 9911. Determine u(-29). 341 Let c(a) = -1235*a - 535960. Determine c(-434). 30 Let j(d) = -99803*d - 598820. What is j(-6)? -2 Let u(v) = 2*v**2 - 215424*v - 1077173. Determine u(-5). -3 Let g(p) = -31997*p - 1279884. Calculate g(-40). -4 Let p(t) = -1146*t**2 - 9196*t - 218. What is p(-8)? 6 Let q(g) = -g**2 - 4435*g - 818726. Calculate q(-193). -20 Let y(l) = -3746*l**2 + 26237*l - 35. Calculate y(7). 70 Let q(f) = -f**3 + 87*f**2 + 1403*f - 11. Determine q(-14). 143 Let d(z) = 153865*z - 1077052. Give d(7). 3 Let u(j) = j**2 - 1721*j + 289571. What is u(189)? 23 Let z(a) = -13*a**2 + 1314*a - 5054. What is z(4)? -6 Let c(y) = -13*y**3 + 71*y**2 - 5110*y + 25409. Calculate c(5). 9 Let d(g) = g**3 + 26*g**2 - 2455*g - 67174. Determine d(-28). -2 Let p(x) = 35*x**3 + 38*x**2 - 7*x + 4. What is p(0)? 4 Let l(s) = 2*s**2 + 1532*s + 286420. Calculate l(-324). 4 Let t(m) = 71969*m + 2734872. Determine t(-38). 50 Let r(y) = -3018*y - 9583. What is r(-3)? -529 Let v(x) = x**3 - 13*x**2 - 1649*x + 15449. Calculate v(43). 12 Let s(m) = -9*m**2 + 78*m - 113. What is s(2)? 7 Let m(r) = -9*r**2 - 6528*r - 38843. What is m(-6)? 1 Let g(u) = 702*u**2 - 24157*u + 9822. Calculate g(34). -4 Let d(m) = -4*m**3 + 114*m**2 - 45*m + 366. Calculate d(28). 674 Let y(s) = 14955*s - 642990. What is y(43)? 75 Let z(b) = 96*b**2 - 239*b - 59. Determine z(-4). 2433 Let i(b) = 337*b + 19762. Calculate i(-64). -1806 Let a(o) = -2*o**3 - 3*o**2 - 453*o - 901. Determine a(-2). 9 Let n(x) = -x**2 + 42674*x + 213396. Determine n(-5). 1 Let c(k) = 665*k - 55863. Calculate c(84). -3 Let i(n) = 6*n**2 + 555*n + 113. Calculate i(-91). -706 Let x(y) = 3402*y - 54434. What is x(16)? -2 Let c(s) = 2*s**3 + 50*s**2 + 43*s - 28. Determine c(-23). 1099 Let z(g) = 56*g - 417. Determine z(6). -81 Let l(s) = 2*s**3 + 54*s**2 + 23*s - 61. Determine l(-27). -682 Let h(q) = 10*q**3 + 2*q**2 - 52*q + 103. Calculate h(3). 235 Let b(l) = -l**3 - 4*l**2 + 66*l - 105. Calculate b(5). 0 Let g(k) = 2*k**2 - 3306*k + 281360. Determine g(90). 20 Let w(g) = 8396*g - 2871366. Calculate w(342). 66 Let r(h) = 281008*h + 2810083. What is r(-10)? 3 Let s(i) = 128*i**2 - 83*i + 371. Calculate s(5). 3156 Let r(s) = -2*s**2 + 184*s + 3514. Determine r(-16). 58 Let p(y) = -y**3 + 42*y**2 - 290*y - 25. Give p(33). 206 Let a(n) = 31*n**3 + 2493*n**2 - 1438*n + 1548. Calculate a(-81). -72 Let l(s) = 916*s - 9922. What is l(11)? 154 Let r(s) = 7856*s - 31456. What is r(4)? -32 Let y(k) = -3542*k + 1225530. Give y(346). -2 Let z(r) = 2324*r + 61. Give z(1). 2385 Let s(z) = -z**3 - 27*z**2 + 99*z + 4087. Determine s(-24). -17 Let r(n) = 24*n**3 - 2*n**2 - 78*n + 176. Give r(4). 1368 Let r(p) = -110*p**2 - 1981*p - 1892. Give r(-17). -5 Let p(g) = -6*g**2 - 4586*g + 18419. Give p(4). -21 Let w(y) = y**2 + 88*y + 1260. Give w(-16). 108 Let m(h) = h**3 + 151*h**2 + 47*h + 7104. Determine m(-151). 7 Let d(j) = -2*j**3 - 172*j**2 - 303*j + 264. What is d(-84)? -2508 Let z(r) = 3790*r + 1178537. Calculate z(-311). -153 Let n(s) = -199*s**3 - 14*s**2 + 28*s + 53. Determine n(-2). 1533 Let n(l) = 14*l**2 - 1301*l - 24364. Calculate n(-16). 36 Let c(w) = -w**3 + 4*w**2 - 23*w + 442. Determine c(8). 2 Let j(z) = -23598*z + 47175. Calculate j(2). -21 Let s(k) = -k**2 - 61*k + 69. Give s(-60). 129 Let q(o) = o**3 - 3*o**2 - 273*o + 4502. Determine q(17). 3907 Let h(v) = 24390*v - 170738. Determine h(7). -8 Let r(j) = 69*j - 3083. Determine r(54). 643 Let o(j) = j**2 + 4160*j - 881123. Give o(202). 1 Let h(v) = -22*v**3 - 234*v**2 + 659*v - 211. What is h(-13)? 10 Let s(d) = 12*d + 1499. Calculate s(-146). -253 Let v(y) = -7*y**2 - 204*y + 2252. Calculate v(-36). 524 Let f(g) = 2*g**3 - 496*g**2 - 4627*g + 283. Give f(257). 26 Let v(t) = -180*t**2 - 2240*t + 7. Determine v(-11). 2867 Let u(o) = -142*o**2 + 2850*o + 39. Calculate u(20). 239 Let z(v) = 2*v**3 - 114*v**2 - v - 72. What is z(57)? -129 Let m(v) = 580*v**2 - 13. Determine m(-1). 567 Let j(s) = -85*s + 2793. Give j(32). 73 Let o(k) = -65*k + 5211. Give o(94). -899 Let j(w) = w**2 - 48462*w + 968849. Determine j(20). 9 Let t(p) = -p**2 - 614*p - 8741. What is t(-15)? 244 Let u(m) = 205*m + 5583. What is u(-26)? 253 Let v(q) = -1748*q - 620545. Calculate v(-355). -5 Let g(z) = -58*z**2 + 227*z - 1153. Determine g(5). -1468 Let u(x) = -x**2 + 4411*x + 318062. Give u(-71). -160 Let y(p) = -6*p**3 + 90*p**2 - 82*p + 32. What is y(14)? 60 Let m(g) = -334549*g - 1672746. Calculate m(-5). -1 Let q(k) = 4*k**2 - 43555*k - 610562. What is q(-14)? -8 Let g(d) = -2940*d - 52918. What is g(-18)? 2 Let l(w) = 46*w**2 + 3339*w - 4940. Give l(-74). -130 Let r(g) = -6753*g - 75636. What is r(-12)? 5400 Let a(n) = -2*n**2 - 139*n + 18299. Determine a(-137). -196 Let y(b) = -4*b**2 + 241*b - 3019. Determine y(13). -562 Let y(j) = 3484*j + 20. Determine y(0). 20 Let n(j) = 170*j + 44338. Give n(-272). -1902 Let j(a) = 11*a**2 + 370*a - 212. Calculate j(-34). -76 Let p(o) = 8*o**3 + 269*o**2 + 1641*o - 3. Give p(-8). -11 Let a(p) = -14*p**3 + 33*p**2 + 95*p - 128. Determine a(1). -14 Let n(q) = -q**2 + 3*q + 13999. What is n(120)? -41 Let l(b) = 13*b**2 - 495*b + 2227. What is l(34)? 425 Let r(a) = -14500*a + 57979. Determine r(4). -21 Let f(o) = 3727*o**2 - 22358*o + 16. Give f(6). 40 Let h(n) = -1383*n - 13557. Determine h(-10). 273 Let x(w) = -1539*w**2 + 15387*w - 7. What is x(10)? -37 Let n(h) = -462*h - 4239. Determine n(-7). -1005 Let q(i) = 3*i**3 - 48*i**2 - 12*i + 62. What is q(6)? -1090 Let v(m) = m**3 + 32*m**2 - 10166*m - 93360. Calculate v(-9). -3 Let m(q) = -2395*q**2 + 40685*q + 509. Calculate m(17). -1 Let n(b) = b**2 - 250*b + 10954. Determine n(57). -47 Let j(k) = 4*k**2 + 1632*k + 11231. What is j(-7)? 3 Let d(c) = -3*c**2 + 107*c + 53. Calculate d(-4). -423 Let o(l) = -43*l**3 + 1161*l**2 - l + 13. Give o(27). -14 Let a(u) = -51*u**2 + 2067*u - 887. Determine a(40). 193 Let r(o) = -5*o**2 + 253*o - 1150. What is r(5)? -10 Let u(f) = f**3 - 253*f**2 - 1712*f - 28135. Determine u(260). -55 Let w(c) = c**2 - 3460*c - 333. Give w(0). -333 Let j(s) = -785*s + 413690. Give j(527). -5 Let o(v) = -v**3 + 7*v**2 - 550*v + 5348. Give o(10). -452 Let q(i) = -77*i**3 + 1540*i**2 + 286*i - 5717. What is q(20)? 3 Let j(f) = -27*f**3 + 26*f**2 - 156*f + 123. Determine j(6). -5709 Let f(o) = -23*o**3 - 1592*o**2 + 9974*o - 82. Give f(-75). -7 Let f(p) = 624*p - 191259. Determine f(307). 309 Let b(a) = 1163*a**2 - 4*a + 138. Determine b(0). 138 Let w(k) = -308567*k - 5554215. Determine w(-18). -9 Let u(o) = 44686*o - 357404. Calculate u(8). 84 Let z(r) = r**3 - 31*r**2 + 188*r - 91. Give z(23). 1 Let l(t) = -t**3 + 23*t**2 - 13*t + 8. Calculate l(16). 1592 Let j(m) = -23*m**3 + 321*m**2 + 46*m - 659. Give j(14). -211 Let v(g) = g**3 + 25*g**2 - 24*g - 8. Determine v(9). 2530 Let z(f) = 7*f**2 - 958*f - 119369. Calculate z(-79). 0 Let x(f) = -485239*f + 18439089. Calculate x(38). 7 Let y(v) = 6*v**2 + 578*v + 1379. What is y(-94)? 63 Let f(c) = -13*c**2 + 255*c + 216. Calculate f(21). -162 Let a(z) = 7174096*z + 7174090. Give a(-1). -6 Let f(g) = -g**3 + 280*g**2 + 8954*g - 193. What is f(-29)? 10 Let x(i) = -i**3 - 16*i**2 + 179*i - 396. Give x(5). -26 Let t(y) = y**3 + 380*y**2 + 824*y + 25701. What is t(-378)? -3 Let z(m) = 681*m - 34527. Calculate z(48). -1839 Let q(f) = 7402*f + 37798. Give q(-5). 788 Let d(n) = -957*n - 78. Give d(0). -78 Let s(w) = 125903*w - 2014451. Give s(16). -3 Let m(s) = -30*s**2 + 2016*s + 3643. What is m(69)? -83 Let p(y) = 73*y**3 - 4013*y**2 - 9*y - 5543. Give p(55). 12 Let d(g) = -6579*g - 368420. Calculate d(-56). 4 Let q(w) = w**2 - 3725*w + 205464. Give q(56). 0 Let s(m) = 57255*m - 342979. Determine s(6). 551 Let i(o) = -o**2 - 41*o - 585. Calculate i(-17). -177 Let i(q) = -q**3 + 4*q**2 - 2692*q + 13309. What is i(5)? -176 Let i(u) = -11804*u - 70789. Determine i(-6). 35 Let t(i) = -i**3 + 41*i**2 - 134*i - 872. Determine t(37). -354 Let g(z) = 12*z**3 + z**2 - 9*z + 157. Calculate g(0). 157 Let i(n) = 7144*n + 41549. What is i(-6)? -1315 Let s(w) = 14*w**3 + 317*w**2 + 1576*w + 17. Determine s(-7). -284 Let p(k) = -12*k**3 - 312*k**2 - 8*k - 221. Give p(-26). -13 Let h(j) = 25417*j - 482923. Give h(19). 0 Let a(l) = -l**2 + 87
{ "pile_set_name": "DM Mathematics" }
6*t(y). 10*y Let n(g) = 10*g**3 + g - 7. Let q(j) = -10*j**3 + j**2 - 2*j + 7. Let b(s) = 5*n(s) + 6*q(s). Let z(w) = -3*w**3 + 2*w**2 - 2*w + 2. Determine 2*b(v) - 7*z(v). v**3 - 2*v**2 Let p = 20 - 12. Let j = p + -12. Let m = j - -9. Let c(w) = -5*w**2 - w - 3. Let d(n) = -9*n**2 - 2*n - 5. Determine m*c(x) - 3*d(x). 2*x**2 + x Suppose -x + 35 = 4*x. Let z(u) be the first derivative of u**4/4 + 3*u**2 - 7*u - 14. Let a(h) = 2*h - 2. What is x*a(r) - 2*z(r)? -2*r**3 + 2*r Let c(y) = -y**2 - 7*y + 1. Let w(b) = -b**2 + b. Give c(n) + w(n). -2*n**2 - 6*n + 1 Let a(v) = -3*v**2 + v - 1. Suppose -5*g = -7*g + 10. Let u(c) = -2*c**2 + c - 1. Give g*u(l) - 3*a(l). -l**2 + 2*l - 2 Let z(f) = f - 3. Let b(d) = 2*d - 7. What is -2*b(u) + 5*z(u)? u - 1 Let g = 5 - 8. Let s(z) = 5*z**2 - 5*z + 4. Let p(j) = j**2 + 2*j + 1. Let v(h) = -2*p(h) + s(h). Let b(c) = c**2 - 4*c + 1. What is g*v(m) + 7*b(m)? -2*m**2 - m + 1 Let h be ((-9)/(-3))/(6/4). Let l(n) = -2*n**h + 0*n**2 + 3 + 4*n**2 + 3*n. Let i(s) = -6*s**2 - 10*s - 10. What is -2*i(x) - 7*l(x)? -2*x**2 - x - 1 Let x(o) = -3*o - 2. Let m(w) = -2*w - 2. Suppose 4*k - 14 = -2*b, 0 = -5*b - 0 - 5. Let n be (-3 + 15/6)*-4. Let u = n - 7. Determine k*x(p) + u*m(p). -2*p + 2 Let x(b) = -3*b**2 + 5. Suppose -8*z = -10*z + 10. Let c(i) = -3*i**2 + 4. Calculate z*c(n) - 4*x(n). -3*n**2 Let d(g) = -g. Let j(q) = 28*q. Determine 24*d(m) + j(m). 4*m Let l(k) = 14*k**2. Let d(q) be the third derivative of q**5/12 + q**2. Let p = 45 - 28. Determine p*d(w) - 6*l(w). w**2 Let f(d) = 2*d**2 + 5*d - 5. Let l(b) = -19 + 3*b**2 + 2*b**2 + 5 + 14*b. What is -8*f(q) + 3*l(q)? -q**2 + 2*q - 2 Let l(w) = 83*w**2 - 13*w - 9. Let o(h) = -21*h**2 + 3*h + 2. What is -4*l(f) - 18*o(f)? 46*f**2 - 2*f Let m(a) = 2*a**2 + a - 4. Let t(s) = s**3 + 3*s**2 - 4*s + 4. Let p be t(-4). Let d(r) = 2*r**2 + r - 5. Determine p*d(v) - 5*m(v). -2*v**2 - v Let x(s) = -10*s**3 + 3*s**2 + 3*s - 3. Let d(a) = -299*a**3 + 91*a**2 + 91*a - 91. Give -3*d(q) + 91*x(q). -13*q**3 Let t(z) = z**3 + z**2 - 1. Let b(j) = 7*j**3 + 6*j**2 - 4. Let m = 7 + -9. Let x be 16/4 - (m - 0). Calculate x*t(u) - b(u). -u**3 - 2 Let u(l) be the third derivative of -l**5/60 + 2*l**2. Let h(a) = 2 - 2 + 7*a**2 + a. Calculate h(i) + 6*u(i). i**2 + i Let s(q) = 2*q + 2. Let v(i) = 1. Let b(y) = s(y) - 6*v(y). Let n(g) = -4*g + 9. Calculate 9*b(a) + 4*n(a). 2*a Let h(x) = -6*x**2 - 11*x. Suppose 0 = -3*i - 0*i - 12. Let w(u) be the first derivative of -2*u**3/3 - 2*u**2 - 17. Calculate i*h(p) + 11*w(p). 2*p**2 Let y(a) = 18 - 9 + a + 3*a - 7. Let g(c) = 2*c + 1. Determine 5*g(v) - 3*y(v). -2*v - 1 Suppose -9 - 101 = -5*y. Suppose -5*s + 7*s = y. Let o(c) = 8*c**2 + 8*c + 5. Let x(g) = -9 - 14*g - g - 16*g**2 + g**2. Determine s*o(b) + 6*x(b). -2*b**2 - 2*b + 1 Let o(h) = 4*h - 3. Let g be 27/9 + -1 - (5 - 1). Let m(p) = -p + 1. Give g*m(c) - o(c). -2*c + 1 Let o(f) = 8*f**3 - 11*f**2 - f - 5. Let u(a) = -8*a**3 + 10*a**2 + 5. Let c(s) = -5*o(s) - 6*u(s). Let r(m) = 15*m**3 - 9*m**2 + 9*m - 9. Give 9*c(b) - 5*r(b). -3*b**3 Let s(k) = 6*k + 9. Let j(i) = -5*i - 8. Calculate -5*j(o) - 4*s(o). o + 4 Let u(a) = 1675*a**3 + 134*a + 134. Let k(s) = 62*s**3 + 5*s + 5. Give -134*k(r) + 5*u(r). 67*r**3 Let c(v) = -3*v + 6. Let d(p) = -7*p + 4. Suppose 5 = 2*q - 1. Let t(u) = 6*u - 5. Let s(i) = q*t(i) + 2*d(i). Determine -6*c(x) - 5*s(x). -2*x - 1 Let p(w) = 14*w**2 - 16*w + 12. Let q(d) = -d**2 + d - 1. Calculate -p(s) - 12*q(s). -2*s**2 + 4*s Let i(d) = d**3 + 7*d**2 + 18*d + 6. Let r(c) = 2*c**3 + 13*c**2 + 35*c + 11. Give 7*i(t) - 4*r(t). -t**3 - 3*t**2 - 14*t - 2 Let d(y) = -61*y. Let v(c) = 182*c. Calculate 8*d(l) + 3*v(l). 58*l Suppose -4*g + 3*g - 17 = 0. Let d(n) = 20*n**3 - 17*n**2 - 17*n + 17. Let o(f) = 2 + 6*f**2 - 3*f**3 - 4*f**3 + 6*f - 8. Determine g*o(z) - 6*d(z). -z**3 Let c(p) = 8*p**2 - 2*p + 7. Suppose 4*v = 15 - 3, 4*s = 2*v - 6. Suppose s*n - 4*n - 28 = 0. Let x(i) = -7*i**2 + 2*i - 6. Give n*x(k) - 6*c(k). k**2 - 2*k Let v(o) = -o + 1. Let c(p) = -3*p + 3. Calculate -c(n) + 2*v(n). n - 1 Let i(l) = -4*l**2 - 3*l - 5. Let u = -310 + 305. Let r(m) be the third derivative of -m**5/12 - m**4/6 - m**3 + 2*m**2. Determine u*r(z) + 6*i(z). z**2 + 2*z Let j(i) = 20*i + 3. Let l(s) = -s. What is -j(n) - 3*l(n)? -17*n - 3 Let q(u) = 5*u**2 + 6*u + 3. Let p(o) = -15*o**2 - 17*o - 8. Give -6*p(m) - 17*q(m). 5*m**2 - 3 Let r(p) = 4*p**2 - p + 5. Let n(d) be the first derivative of -2*d**3 + d**2 - 8*d - 7. What is 5*n(c) + 8*r(c)? 2*c**2 + 2*c Let r(o) = -29*o**3 + 2*o**2 - 2. Let f(m) = -28*m**3 + 3*m**2 + m - 3. What is 2*f(g) - 3*r(g)? 31*g**3 + 2*g Let f(j) = -8*j + 421 - j - 428. Let i(o) = 26*o + 20. What is 17*f(g) + 6*i(g)? 3*g + 1 Let i(n) = -2 - 1 - 1 + 3. Let v(w) = w + 5. Let j(l) = l**2 - 2*l - 1. Let p be j(2). Give p*v(h) - 6*i(h). -h + 1 Let m(y) = -2*y**2 + 2*y. Suppose 3*n - 35 = -2*n. Let s(f) = -f**2 + 2*f + 6*f - n*f. Determine 5*m(h) - 12*s(h). 2*h**2 - 2*h Let l be 2*-4 + 1 - -1. Let r(u) = -1. Let w(q) = -1. Let t(v) = -3*r(v) + 2*w(v). Let m(y) = y**3 - 2*y**2 - 6. Calculate l*t(b) - m(b). -b**3 + 2*b**2 Let a(l) be the third derivative of l**5/4 - 7*l**3/2 - l**2 + 14. Let w(z) = -8*z**2 + 11. Determine -6*a(v) - 11*w(v). -2*v**2 + 5 Let v(x) be the second derivative of -x**6/120 + 7*x**5/120 + x**4/4 - 3*x. Let j(p) be the third derivative of v(p). Let a(h) = -h + 1. What is -5*a(k) + j(k)? -k + 2 Let q(b) = 0 - 3 - 2*b**3 - 2*b + b. Let j(a) = -4*a**3 - 2*a - 5. Let y be 2/4 + (-7)/2. Give y*j(n) + 5*q(n). 2*n**3 + n Let n(s) be the first derivative of 2*s**3/3 + s**2 + 4. Let x(m) = -2*m**2 - 2*m. Let u(l) = -3*l - 17. Let k be u(-7). What is k*x(d) + 5*n(d)? 2*d**2 + 2*d Let w(v) = 5*v - 4. Let h(u) = -u**3 + 5*u**2 + 3. Let x be h(5). Let a(s) = -5*s + 3. Give x*w(j) + 4*a(j). -5*j Let q be -2 + 3 + 4/2. Let d(m) = -4*m + 4. Let x(f) = f. Calculate q*x(g) + d(g). -g + 4 Let j(b) = -b**2 - 3*b + 9. Let r(v) = v - 1. Calculate -j(d) - 4*r(d). d**2 - d - 5 Let f(o) = -12*o - 3. Let z(j) be the third derivative of -j**4/3 - j**3/3 + 11*j**2. Determine 5*f(x) - 8*z(x). 4*x + 1 Let g(s) = 4*s**2 - s + 2. Let i(h) = -7*h**2 + 2*h - 4. Suppose -16 = 8*p - 10*p. Let k = p + 3. Calculate k*g(a) + 6*i(a). 2*a**2 + a - 2 Let y(f) = -2*f + 18. Let p(u) = -1. Determine -4*p(n) + y(n). -2*n + 22 Suppose -160*d - 48 = -168*d. Let z(y) = -2*y + 2. Let r = -3 + 1. Let s(h) = -h + 1. What is d*s(o) + r*z(o)? -2*o + 2 Let l(h) = 31*h**3 + 3*h. Let z(b) = -30*b**3 - 4*b. What is -4*l(p) - 3*z(p)? -34*p**3 Let u(f) = -1 + 4 - f + 0*f. Let d(h) = -6*h + 13 + 3*h - 6*h + 5*h. Give 4*d(s) - 18*u(s). 2*s - 2 Let k(h) = 10*h**3 - 2*h**2 - 3*h + 4. Let w(a) = 39*a**3 - 8*a**2 - 13*a + 17. What is -9*k(z) + 2*w(z)? -12*z**3 + 2*z**2 + z - 2 Let w = 25 + -38. Let a(q) = -7*q**2 + 8*q + 1. Let i(r) = -15*r**2 + 17*r + 2. What is w*a(n) + 6*i(n)? n**2 - 2*n - 1 Let m(f) = -f**3 + f**2 - 7*f + 3. Let u(k) = -2*k**3 + k**2 - 15*k + 7. Give -13*m(g) + 6*u(g). g**3 - 7*g**2 + g + 3 Let k(l) = l + 3. Let d(r) = 3*r + 7. Suppose 5*z + 31 = 3*g, -2*g + 3*g - 12 = 2*z. Calculate z*k(x) + 2*d(x). x - 1 Let j(p) = -p**2 + 3*p - 6. Let t(m) = -9*m**2 + 17*m - 31. Let o(g) = 4*g**2 - 8*g + 15. Let d(n) = -5*o(n) - 2*t(n). Determine 6*d(l) - 13*j(l). l**2 - 3*l Let x(q) = -5*q + 3. Let z(r) = -16*r + 3 - 3 + 17*r. Calculate -x(o) - 6*z(o). -o - 3 Let s = 24 - 15. Let a(j) = s*j - 2*j + 3 - 3*j - 4. Let n(v) = v - 93 + 93. Give -a(c) + 5*n(c). c + 1 Let w(l) = -7*l**3 + 5*l**2 - 5*l. Let x(i) = -4*i**3 + 3*i**2 - 3*i. Calculate -3*w(j) + 5*x(j). j**3 Let u(g) = 8*g - 1. Let r(p) = -7*p + 1. Determine -6*r(i) - 4*u(i). 10*i - 2 Let c(p) be the third derivative of -p**5/60 + p**4/24 + 2*p**3/3 + 10*p**2. Let m(x) = -3*x**2 + 3*x + 9. Calculate 5*c(s) - 2*m(s). s**2 - s + 2 Let p(y) = 1. Let n(j) = -7*j - 4. Calculate n(a) + 5*p(a). -7*a + 1 Let f(k) = 7*k**3 + 4*k**2 - k. Let m(g) = -15*g**3 - 9*g**2 + 2*g. Determine -7*f(d) - 3*m(d). -4*d**3 - d**2 + d Let b(c) = -3*c + 37. Let k(f) = -f + 12. Give -2*b(t) + 7*k(t). -t + 10 Let z(m) = -22*m**2. Let f(b) = b + 1. Let o(q) = -9*q**2 - 12*q - 12. Let h(w) = -12*f(w) - o(w). Determine 12*h(x) + 5*z(x). -2*x**2 Let g(s) = -30*s**2 - 13*
{ "pile_set_name": "DM Mathematics" }
ue Does 78 divide 121726332? True Is 313191670 a multiple of 1049? False Is 374119284 a multiple of 27? False Does 98 divide 6685127? False Is 16 a factor of 1412757120? True Does 1341 divide 63005515? False Does 117 divide 60949044? True Does 6664 divide 844899231? False Is 21 a factor of 737529471? True Is 23887538 even? True Does 5408 divide 2062070400? True Is 49 a factor of 730460395? True Is 54 a factor of 393066? True Is 15 a factor of 605264575? False Does 399 divide 94243401? True Does 1541 divide 36990164? True Is 14 a factor of 483860819? False Is 149651964 a multiple of 231? True Does 5416 divide 2231337840? True Is 270108391 a multiple of 1821? False Does 57 divide 682135324? False Is 34 a factor of 305088579? False Does 124 divide 6471064? True Does 9 divide 9748842? False Is 8690248 a multiple of 8? True Does 36 divide 5966770? False Is 69079904 a multiple of 83? True Does 41 divide 605647410? False Is 113760911 a multiple of 2? False Does 82 divide 6028649? False Is 437 a factor of 8103728? True Is 70175938 a multiple of 226? True Is 735260013 a multiple of 17? True Does 7260 divide 1382649695? False Does 36 divide 281905992? True Is 355 a factor of 11573609? False Is 371 a factor of 344416159? False Is 113400467 a multiple of 46? False Does 36 divide 800622783? False Is 42 a factor of 3867948? True Does 2 divide 14014625? False Is 26141420 a multiple of 20? True Is 61793016 a multiple of 43? False Is 538 a factor of 7368986? True Does 1837 divide 39126263? True Is 900049794 a multiple of 246? True Does 879 divide 55632654? False Is 6273828 a multiple of 807? False Is 8775948 a multiple of 183? True Does 168 divide 1417469928? True Does 2380 divide 776603521? False Is 17 a factor of 130019531? False Is 3 a factor of 4932837? True Is 7707558 a multiple of 2? True Is 20 a factor of 24366878? False Does 78 divide 126127933? False Is 9600666 a multiple of 465? False Does 268 divide 307515796? True Does 822 divide 1013013072? True Is 15 a factor of 13654215? True Is 277029586 a multiple of 17? True Does 311 divide 336673361? True Does 4 divide 2171273? False Is 26393328 a multiple of 18? True Is 721 a factor of 29245202? True Is 40305631 a multiple of 251? False Is 337713644 a multiple of 180? False Does 149 divide 536367011? False Is 6269 a factor of 6825553? False Does 10 divide 9515200? True Does 960 divide 31476480? True Does 608 divide 90889622? False Does 60 divide 78206100? True Is 16545964 a multiple of 3? False Is 39 a factor of 75812968? False Is 38238431 a multiple of 443? True Is 41 a factor of 126818875? False Is 342 a factor of 1279764? True Is 38954538 a multiple of 21? True Does 2945 divide 3126273585? True Is 40198582 a multiple of 177? False Does 306 divide 98047602? True Does 10 divide 53842877? False Is 12786891 a multiple of 39? True Does 522 divide 1333816662? False Is 355 a factor of 191797625? True Does 46 divide 198585180? False Does 49 divide 346308970? True Is 3200343993 a multiple of 2387? True Is 144 a factor of 46834992? True Is 290187282 a multiple of 77? True Is 77 a factor of 976824150? False Is 27 a factor of 45224688? False Is 53142219 a multiple of 507? True Is 3684 a factor of 1902620220? True Does 31 divide 24340425? True Is 476484257 a multiple of 53? True Is 66856010 a multiple of 130? True Is 1634 a factor of 29008402? True Does 63 divide 27674892? True Does 20 divide 9521000? True Does 13 divide 693111000? False Is 9564475 a multiple of 5? True Is 22 a factor of 4672030? True Is 462 a factor of 2479856148? True Does 79 divide 10049985? True Is 3913684544 a multiple of 1448? False Is 2 a factor of 27640591? False Is 4958118 a multiple of 54? True Is 15161763 a multiple of 53? True Does 41 divide 1508124043? False Is 487799745 a multiple of 17? False Is 6 a factor of 21285696? True Does 1343 divide 129895076? False Is 7112165 a multiple of 4? False Is 185553189 a multiple of 2849? False Does 91 divide 249617277? True Does 5576 divide 1315957345? False Is 48559546 a multiple of 5? False Does 14 divide 928613154? True Does 7 divide 280990357? False Does 10 divide 29633284? False Is 9477029 a multiple of 19? True Is 40 a factor of 91299713? False Is 8 a factor of 641637736? True Is 24243039 a multiple of 9? True Is 8186257 a multiple of 23? False Does 550 divide 68109250? True Does 752 divide 235430896? True Does 1169 divide 49475587? True Is 11507958 a multiple of 138? True Is 1002 a factor of 27224340? True Does 14 divide 4433433? False Is 48790469 a multiple of 894? False Is 1956695459 a multiple of 9? False Does 3272 divide 16319062? False Is 126 a factor of 579167064? True Is 9991542 a multiple of 282? True Is 84242988 a multiple of 47? True Does 32 divide 1053774? False Is 68 a factor of 24798740? False Is 144697338 a multiple of 18? True Is 123 a factor of 177850656? False Does 52 divide 527543328? True Does 29 divide 1711087203? True Does 30 divide 795616940? False Is 2543 a factor of 186152744? False Is 159288201 a multiple of 268? False Is 21 a factor of 672731766? True Is 1572443520 a multiple of 32? True Is 261 a factor of 270759013? False Does 13 divide 1136754? False Does 8 divide 12849433? False Is 62151624 a multiple of 216? True Is 44 a factor of 173586160? True Is 48 a factor of 63317832? False Does 13 divide 7722835342? False Is 1989 a factor of 313713036? True Is 19635674 a multiple of 107? False Is 123910856 a multiple of 2419? True Is 1377341451 a multiple of 733? True Does 377 divide 354699962? False Is 28 a factor of 22601937? False Is 253 a factor of 10034233? True Is 35350920 a multiple of 632? True Does 1694 divide 159297215? False Is 6 a factor of 675187136? False Does 104 divide 23225384? True Is 8178266 a multiple of 133? False Does 50 divide 2253128488? False Does 35 divide 4102665? True Does 19 divide 1136209348? True Is 16977065 a multiple of 8? False Does 1269 divide 160522155? True Is 55469449 a multiple of 199? False Does 440 divide 3067543? False Is 15 a factor of 14533225? False Is 105741270 a multiple of 18? True Does 2101 divide 97079801? False Is 50 a factor of 1840832489? False Is 12149520 a multiple of 138? True Is 21029314 a multiple of 38? True Does 3528 divide 148827622? False Is 13 a factor of 203557094? True Does 8 divide 158330383? False Is 529 a factor of 31926737? True Is 430 a factor of 2036108050? True Is 50280860 a multiple of 14? True Is 12218474 a multiple of 418? False Is 48451491 a multiple of 11? True Does 40 divide 1179973000? True Is 152228434 a multiple of 14? False Is 8 a factor of 495944900? False Is 19781575 a multiple of 14? False Is 97 a factor of 84381514? False Does 178 divide 824632444? False Is 17316944 a multiple of 56? False Does 73 divide 2435448449? False Is 876 a factor of 6519931? False Does 20 divide 90182200? True Does 228 divide 243229770? False Is 14362094 a multiple of 1229? True Is 449 a factor of 251571108? True Is 31 a factor of 35595316? True Is 26952816 a multiple of 24? True Does 168 divide 105409584? True Is 3783 a factor of 581310912? True Is 5539469844 a multiple of 25? False Is 50 a factor of 5546250? True Is 348962785 a multiple of 5? True Is 125301631 a multiple of 51? False Is 606827224 a multiple of 7? False Does 3320 divide 16798896? False Is 4087777956 a multiple of 761? False Does 233 divide 14663622? True Is 79 a factor of 725931341? False Is 23 a factor of 63592802? False Is 8936 a factor of 3255116720? True Does 11 divide 307290925? False Is 16 a factor of 57446853? False Is 2296828900 a multiple of 3233? False Is 63503587 even? False Does 390 divide 1562414213? False Is 623910912 a multiple of 1437? True Is 73769090 a multiple of 156? False Does 1237 divide 72176995? False Is 28863612 a multiple of 2? True Is 10 a factor of 2119699559? False Is 20 a factor of 2505301287? False Is 10727113 a multiple of 4? False Does 13 divide 6700917? False Is 155177236 a multiple of 77? False Is 4228444553 a multiple of 4207? False Is 4799 a factor of 50835807? True Is 114372087 a multiple of 9? False Is 4859 a factor of 1762543942? True Does 248 divide 701315480? True Is 99 a factor of 274421961? True Does 13 divide 67452125? True Is 1222 a factor of 19719414? True Is 17762784 a multiple of 1677? True Doe
{ "pile_set_name": "DM Mathematics" }
6). Let g = 41288163 - u. Suppose -6*p + 0*p = g. Round p to the nearest 100000. -2300000 Suppose 2*q + 3*f = 29, -3*q - f = 3*f - 41. Suppose -9*i = -q*i. Suppose i = 3*j - 92 + 401. Round j to the nearest ten. -100 Let b(x) = -4044*x**2 - 3*x + 9. Let r be b(-4). Let i = 92683 + r. What is i rounded to the nearest 10000? 30000 Let l be (-24)/(-16) - 194263988/(-8). Round l to the nearest 1000000. 24000000 Let t(i) = 11 - 16 + 5 + 54000*i**2. Let b be t(5). What is b rounded to the nearest 100000? 1400000 Let s = -72 + 359. Let m = s - 287.0209. What is m rounded to 3 dps? -0.021 Let c = -217834 + 410334. What is c rounded to the nearest 10000? 190000 Suppose 5720 + 10111 = 3*l. Suppose -4339 = -4*t + l. Suppose 4*d - 1116 = t. Round d to the nearest one hundred. 900 Let d = -5507 + 5507.002711. What is d rounded to four decimal places? 0.0027 Suppose 3*c + 4*r = 202, 4*c - 4*r = -0*r + 232. Suppose 888000 = 65*q - c*q. What is q rounded to the nearest one hundred thousand? 300000 Let l = 90.11 - 90. Let g = l - 0.1100002. What is g rounded to seven dps? -0.0000002 Let f = 35349054.00041676 + 53955715.89958346. Let i = 89304768 - f. Let v = 1.9 + i. Round v to seven decimal places. -0.0000002 Let q(l) = -9504*l - 2. Let y be q(-6). Let w = y - 38022. Round w to the nearest 10000. 20000 Let q = 4 + -7. Let h be (9/6)/q*2. Let m be h/2*2400/(-6). What is m rounded to the nearest 1000? 0 Suppose -4*p + 5*i = -40 + 3, 15 = -3*i. Let n be (-10119)/(15/(-5)) - -2. Let d be ((-548)/p - 4)*n. What is d rounded to the nearest 100000? -600000 Suppose 4*k - 4*d = 6 + 14, d + 13 = 3*k. Let q be (159/9)/(k/24). Let u = q - 66. What is u rounded to the nearest 100? 0 Suppose b + 41 - 229 = -2*p, -996 = -5*b + 4*p. What is b rounded to the nearest 100? 200 Let l be 75/(-6)*8304/(-10). Suppose 3*c = -5*u - l - 679, -3*u - 4*c = 6642. What is u rounded to the nearest 100? -2200 Suppose 12 = 3*v - 9. Suppose -2*t = -4*b - v*t - 8155, -2*b + t = 4081. What is b rounded to the nearest one hundred? -2000 Let b = 521.2 + -96.2. Let n = 424.9622 - b. Let u = n - -0.06. What is u rounded to three decimal places? 0.022 Let b = -5062897420176158.55000113 + 5062897350642664. Let n = b - -69533526.55. Let o = n - 32. What is o rounded to seven dps? -0.0000011 Let z = -2.24436 + 2.25. Round z to three decimal places. 0.006 Let t = -19 + -79. Let l = -97.99844 - t. Round l to four decimal places. 0.0016 Let g(k) = 6*k**2 + 2*k - 1. Let n be g(-2). Suppose 5*x + 5*p + 0*p = -100, -5*p = -2*x - n. Let a = x + -37. What is a rounded to the nearest 10? -50 Let j = -26669 + 49469. What is j rounded to the nearest 10000? 20000 Let j = -29 - -108. Suppose j = -6*y + 313. Round y to the nearest 10. 40 Let a = 0.01 - -1.59. Let j = a + -2. Let p = -0.3999996 - j. Round p to 7 dps. 0.0000004 Let k = 1730.8217 + -1731. What is k rounded to 2 dps? -0.18 Let h(c) = 64001*c**2 - 6*c + 5. Suppose 3*o - 2*o = 5. Let d be h(o). Round d to the nearest 1000000. 2000000 Let p = 6278.311 + -6282. What is p rounded to zero decimal places? -4 Let z = -632.5 - -459. What is z rounded to the nearest 10? -170 Let q = -1 - -1.1. Let j = 16.9 + q. Let t = -17.055 + j. What is t rounded to two dps? -0.06 Let x = -82.836 - -84. Round x to 1 decimal place. 1.2 Let c = -442 + 441.99922. Round c to four dps. -0.0008 Let t(y) = 849*y**2 + y + 4. Let l(v) = v - 4. Let s be l(2). Let x be t(s). Let p = -2702 - x. Round p to the nearest one thousand. -6000 Let q(d) = -4362*d**2 + 16*d + 36. Let z be q(-3). Round z to the nearest 1000. -39000 Let w = 2946.0005564 - 2946. What is w rounded to five dps? 0.00056 Let h(x) be the second derivative of -x**5/20 - 3*x**4/4 - 2*x**3 + 3*x**2/2 + 7*x. Let q be h(-9). What is q rounded to the nearest ten? 110 Let z be (-737996)/(-24) - (-4)/(30 - 6). Round z to the nearest one thousand. 31000 Let w = 109 - 108.949. Let z = -108327.051081 - -108327. Let j = w + z. What is j rounded to five decimal places? -0.00008 Suppose 0 = 2*y - 4*s + 36, -4*y + 2*y + s - 30 = 0. Let c = 6 + y. Let j be (c - -12) + -26*2. What is j rounded to the nearest 10? -50 Let d = 371 + -298.2. Let c = d + -71. Round c to the nearest integer. 2 Let g = 9 - 9. Let s = g - 0. Suppose -a = o - 927, s = 3*a + a - 2*o - 3726. What is a rounded to the nearest one hundred? 900 Let v = -10.4 + 9.92. Let n = 0.4799902 + v. What is n rounded to six dps? -0.00001 Let c = -602 + 601.928. Let g = -26844.8 - -26844.87200235. Let l = g + c. Round l to 7 decimal places. 0.0000024 Let s = 14.69 + 0.31. Let n = s - 15.00023. What is n rounded to four dps? -0.0002 Let d = -426.35044 + -0.04956. Let t = 426.60995 + d. Let z = 0.21 - t. Round z to 4 decimal places. 0.0001 Let u = -1 + 17. Let f = 15.944 - u. Round f to two dps. -0.06 Let s = -0.197 + 0.19700092. What is s rounded to seven dps? 0.0000009 Let d = -81.1961 + -0.1139. Let x = d - -82. Round x to 1 decimal place. 0.7 Suppose 11*t + 60 = 7*t. Let c be (-1)/((-3)/41400)*t. What is c rounded to the nearest ten thousand? -210000 Suppose 87010 = 7*s - 2*s. Suppose 3*n = -298 - s. Round n to the nearest one thousand. -6000 Let k = -10.931382 + -0.079988. Let b = k - -11.083. Let w = b + -0.072. Round w to four dps. -0.0004 Let u = 650712 - 307013. Let o = u + -603699. What is o rounded to the nearest one hundred thousand? -300000 Let n = 14 + -42. Let f = n + 30. Suppose 0 = j - 4, -3*m = m + f*j + 212. What is m rounded to the nearest ten? -60 Let g = -55.8 + 0.96. Let o = g + 56. Round o to 1 decimal place. 1.2 Let h be (-9855005)/(-3) - (-300)/(-180). Round h to the nearest one hundred thousand. 3300000 Suppose -30*m = 3*m - 1838100000. What is m rounded to the nearest 1000000? 56000000 Let p be 0/4 - (-1)/1. Let h = p + 0. Let n be 79001 + (h/1 - 2). Round n to the nearest ten thousand. 80000 Let p(a) = 1074*a**3 - 2*a**2 - 14*a - 8. Let n be p(-12). What is n rounded to the nearest one hundred thousand? -1900000 Let g = -0.13 - 0.07. Let t = 27.2 + g. Let y = t + -27.0086. Round y to three dps. -0.009 Let y = -1621 - -2363. Let u = y + -741.9619. Round u to 3 decimal places. 0.038 Let h be 0*3/(3/1). Suppose 0 = -h*b - b - 110. Let g be 473002/(-11) + (-20)/b. Round g to the nearest 10000. -40000 Let p = -45.02 - -0.02. Let g = p + 44.9999967. What is g rounded to 6 decimal places? -0.000003 Let q = 0.0728 - 0.07279099. Round q to six decimal places. 0.000009 Let t = -261 + 261.0428. What is t rounded to three decimal places? 0.043 Let s = -558 + 557.9999341. Round s to six decimal places. -0.000066 Let o = -2201 + 2201.119. What is o rounded to two dps? 0.12 Let m be 641937/(-34) - 3/(-6). Round m to the nearest one thousand. -19000 Let i = 3911.796 + -3905. Let g = -7 + i. Round g to two dps. -0.2 Let k = 80 + -11. Let q = -68.69 + k. Let t = 0.309996 - q. Round t to 5 dps. 0 Let f = 6 + -6.251. Let o = -0.0804 - f. Let c = 0.17 - o. Round c to 3 decimal places. -0.001 Let u = 1003 - 1014.7. What is u rounded to the nearest integer? -12 Let r = -7.027 - -7. Let z = -0.02 - 0.08. Let h = z + r. What is h rounded to 2 decimal places? -0.13 Let v = -183119459 + 56519459. What is v rounded to the nearest 1000000? -127000000 Let x = 17455.99991951 + -17456. Round x to five dps. -0.00008 Suppose 28*x = 194579 + 59101. Round x to the nearest 1000. 9000 Let n = 0.18774415 + 9.18230075. Let r = n + -9.37. Round r to six dps. 0.000045 Let k = 46.5603199 - 46.56. What is k rounded to five decimal places? 0.00032 Let s be (-2 + 122)*(-610)/4. What is s rounded to the nearest 10000? -20000 Let a = -282.81932 + -31207575.18068. Let y = -31207847.0000008 - a. Let l = -11 + y. Round l to 6 decimal places. -0.000001 Suppose 0 = -882*g + 886*g + 2199200. Round g to the nearest 10000. -550000 Let x(h) = -2418*h**3 - 12*h**2 - 12*h - 2. Let t be x(-8). Let g = t - 1845342. What is g rounded to the nearest ten thousand? -610000 Let z = -0.061797822 - -0.0618. What is z rounded to 7 dps? 0.0000022 Let o = -24.3107 + 24.47. What is o rounded to 2 dps? 0.16 Suppose -2*q - 551112 = 4*a + 119300, 0 = 5*q - 5*a + 1675985. Round q to the nearest one hundred thousand. -300000 Suppose 5*u - 4*b = 4*u + 28759, 4*u = 5*b + 115080. Suppose -2*n + u = -5*j, n + j - 9536 = 4869. Rou
{ "pile_set_name": "DM Mathematics" }
*sqrt(98) + sqrt(98))*4)/(sqrt(112)*-5 + sqrt(7)))/((sqrt(448) + sqrt(448) + 6*1*sqrt(448))*3))**2. 1/103968 Simplify 0 + ((sqrt(187) + sqrt(187) + sqrt(187)*-2 + sqrt(187))*-2)/sqrt(11) + (sqrt(68)*3 - ((sqrt(272))**2 - sqrt(17))*-6). -2*sqrt(17) + 1632 Simplify (1 + -5*(4*sqrt(96))/sqrt(3)*-4 + 5)**2. 3840*sqrt(2) + 204836 Simplify -2 + ((-2*sqrt(2057) + sqrt(2057) + -1 - sqrt(2057))*6)**2 + 2 + -4 + 4. 1584*sqrt(17) + 296244 Simplify (sqrt(320) - (sqrt(320) - (1 + sqrt(320) + 1) - sqrt(320))**2 - (-5 + sqrt(320) + 1 + sqrt(320)))*-6 + -2*sqrt(320)*-5 + 0 + 3. 320*sqrt(5) + 1923 Simplify ((sqrt(84) - (-1*sqrt(84)*2 - sqrt(84)))/(sqrt(432)*1))/((sqrt(288)/sqrt(12))/sqrt(6) - (sqrt(168)/sqrt(6) - sqrt(28))/sqrt(7)). sqrt(7)/3 Simplify (3*(sqrt(1224) - sqrt(34)) + sqrt(34) + (-3*sqrt(544) - sqrt(544)))/((sqrt(14)*2*-4)/(3*sqrt(28))). 0 Simplify (3 + -3*sqrt(26)/((-1*sqrt(200) - sqrt(200) - sqrt(200)) + sqrt(200)) + -2 + (sqrt(1300)*1 - sqrt(1300)) + sqrt(1300) + sqrt(1300) + -5)**2. -806*sqrt(13)/5 + 2117717/400 Simplify ((2 + sqrt(125))*4 - 2*sqrt(125)*4) + (sqrt(125) + sqrt(125)*1 + -4)**2 + sqrt(125) + 0 + 2. -95*sqrt(5) + 526 Simplify 1 + (6*(((sqrt(405) + -2 - sqrt(405)) + sqrt(405))*-3 + ((sqrt(405) + 1)*5 - sqrt(405))))**2*1. 7128*sqrt(5) + 18937 Simplify (3*(sqrt(91) - (sqrt(91)*-1 - sqrt(91))))/(sqrt(56)/sqrt(2)) - (-2 + (sqrt(52)/(-2*sqrt(4)) + 4)**2). -69/4 + 17*sqrt(13)/2 Simplify ((sqrt(600) - (sqrt(600) + -1*sqrt(600)*1))*-2)/(-4*3*sqrt(3) + 1*sqrt(363))*-5. -100*sqrt(2) Simplify (((sqrt(42)/sqrt(2) - sqrt(21) - sqrt(21))*-2)/(sqrt(33)/(1*sqrt(11))) - (sqrt(56)/sqrt(4)*-3)/(sqrt(2)*-2*-6))*6. 27*sqrt(7)/2 Simplify (sqrt(2448)*5 - ((sqrt(102) + sqrt(102)*-5)/sqrt(6))**2) + ((sqrt(17) + -4*sqrt(833) + -4)*-5)**2. 5460*sqrt(17) + 309953 Simplify (((5*(sqrt(80) - (sqrt(80) - (sqrt(80) - 2*sqrt(80)))))/(-3*sqrt(16)))/(-2*5*sqrt(90)*-2)*-2)**2. 1/648 Simplify (sqrt(1088) + 5 - (sqrt(17) - (0 + sqrt(17)))*-1 - ((sqrt(153)*-2 + 0 - sqrt(153)) + 4*3*sqrt(153)))**2. -190*sqrt(17) + 6162 Simplify (5 + (sqrt(243) + sqrt(243) + 0 + sqrt(243) + -1)*-1)**2 - (-2 + (sqrt(243) - sqrt(243)*-1) - -2*(sqrt(243) + 3 + sqrt(243)))**2. -6541 - 756*sqrt(3) Simplify (3 + -3*(((2*sqrt(475) - sqrt(475)) + sqrt(475) + 2)*6 + -2 + 3*sqrt(475)*-1))**2. 7290*sqrt(19) + 347004 Simplify ((sqrt(10) - -1*sqrt(250))/(sqrt(5) - 2*sqrt(320)))**2 + (sqrt(72) - ((sqrt(72)*1)**2 + 3) - (sqrt(72)*-2 + 5)). -1992/25 + 18*sqrt(2) Simplify 4 + 4 + 0 + (-2 + (-1*(sqrt(720) + sqrt(720) + -4*sqrt(720)))**2)*5 + 0. 14398 Simplify (-2*sqrt(175)*-3 + 5 - (sqrt(84)/sqrt(3)*-6)/((sqrt(28)*2)/sqrt(7)))*2. 10 + 66*sqrt(7) Simplify 5*((sqrt(242) - 1*sqrt(242)) + sqrt(242))**2 - (0 + sqrt(128) - (sqrt(2) - (sqrt(2)*-1 + 3)))**2 - ((sqrt(486)*-1)/(sqrt(24)/(sqrt(8)*-2)))**2. -36*sqrt(2) + 481 Simplify (sqrt(21)/sqrt(7) + -5 + sqrt(3))**2 + sqrt(15)/(sqrt(5)*4) - (3*sqrt(54))/(sqrt(20)/(2*sqrt(10))). -151*sqrt(3)/4 + 37 Simplify ((5 + 2*sqrt(176) + (sqrt(176) + -2 + sqrt(176))*-4 + -3*(sqrt(176) + -1) + 1)*3)**2. -11016*sqrt(11) + 130905 Simplify (((sqrt(500) - (sqrt(500) - (sqrt(500) + sqrt(500)*2))) + -1)*-6 + -2*(sqrt(40)/(-1*sqrt(8)) + 0))**2. -2136*sqrt(5) + 158456 Simplify 2*(sqrt(224) - (sqrt(224)*1*6 + sqrt(224) + sqrt(224)))/(sqrt(1008)*1 - sqrt(63)*-3)*6. -16*sqrt(2) Simplify 1*(sqrt(63)/(sqrt(63)*-6))/(-5*sqrt(12)*-6)*-6. sqrt(3)/180 Simplify 4 + (sqrt(55) + (1*sqrt(1980) - sqrt(55)) - (sqrt(550) - (sqrt(550) + sqrt(550)*3))/sqrt(10))/((sqrt(132)/(sqrt(36)/sqrt(3)) + sqrt(176))*2). 9*sqrt(5)/10 + 4 Simplify (4 + (-1 + -4 + sqrt(425)*1 + -2 + 5*(sqrt(425) + sqrt(425) + 1 + sqrt(425)) + -1)*-6)**2. -21120*sqrt(17) + 3917284 Simplify (-1*sqrt(160))/(-2*sqrt(648)) + (sqrt(60)/(1*sqrt(6)))/(sqrt(10)/(-3*sqrt(5))). -26*sqrt(5)/9 Simplify ((sqrt(114) - 2*sqrt(114)*4) + (sqrt(114) - sqrt(114)*-2*-6))/(5*(sqrt(486)*2 + sqrt(486) - sqrt(486) - sqrt(486)) - sqrt(486) - sqrt(486)). -2*sqrt(19)/3 Simplify ((sqrt(70)/sqrt(50) + sqrt(35) + sqrt(35) - sqrt(35))/(sqrt(10)/sqrt(2)*4) - -5*(sqrt(343) + 4 + -2))**2. 706*sqrt(7) + 882263/100 Simplify ((sqrt(360)/sqrt(5))/(sqrt(16)/(sqrt(8)/sqrt(2))))**2 - -6*(1 + 2*sqrt(2) - sqrt(32)). -12*sqrt(2) + 24 Simplify (((sqrt(156) - sqrt(156)*-2*3) + sqrt(156))/(-4*sqrt(12)/sqrt(2)))/((4*2*sqrt(10))/((sqrt(45) - (sqrt(45)*2 + sqrt(45)))/sqrt(9))). sqrt(13)/2 Simplify -3*(0 + (1 + (sqrt(500)*2 - sqrt(500)) - (2 + -2*sqrt(500)) - (4*(1 + sqrt(500)) - (sqrt(500) - (sqrt(500) + -1*sqrt(500)*-1))))**2). -6075 - 600*sqrt(5) Simplify (3*((-2*sqrt(144))/sqrt(3) + -1*(sqrt(3) + 0 + 2)))**2*2. 648*sqrt(3) + 4446 Simplify (4*(-5*(sqrt(300) + sqrt(300)*1) + -2*(0 + sqrt(300)) - 2*3*(sqrt(300) + 0 + sqrt(300))))**2 + 3. 2764803 Simplify ((1*sqrt(91)*-6*-1*-1)/((sqrt(49) - sqrt(441)*-4)/((sqrt(98)/sqrt(2))/sqrt(7) + sqrt(7))))**2. 144/13 Simplify -2 + (1*sqrt(450)/sqrt(40) + 2)*-4*1*-6. 46 + 36*sqrt(5) Simplify 1 + (2 + 3 + sqrt(5103) + 1)**2 + -2. 324*sqrt(7) + 5138 Simplify (sqrt(132) - 6*sqrt(132)*-1)/(sqrt(1728) + sqrt(1728) + (sqrt(1728)*2 - sqrt(1728))) + -1*sqrt(11)*2 + -5 + -2. -7 - 65*sqrt(11)/36 Simplify -4*((-5 + (-1*sqrt(1008))**2 + (sqrt(63) - (sqrt(63) + (sqrt(126)*1)/sqrt(2)))**2)*2 + 1) + 3. -8529 Simplify 1 + (sqrt(140)/sqrt(5))**2 + -1 - (sqrt(7) + -1 + 5 + -2*(sqrt(7) + -1))*3. 3*sqrt(7) + 10 Simplify (-4 + -1 + ((sqrt(68) - ((-1 + sqrt(68))**2 + sqrt(68)))*3 - (sqrt(68) - (sqrt(68) - (sqrt(68) + 0)))**2*2))*-6. -72*sqrt(17) + 2088 Simplify 2*((sqrt(432) - (-1*(2*sqrt(432) - sqrt(432)) + sqrt(432)) - -6*-3*sqrt(432))/(5*sqrt(9)*2*-3))**2. 2312/75 Simplify (((sqrt(720) - sqrt(720)*-1) + -2)*-4 + -2)**2 + (-5*(-1 + sqrt(5)) + (sqrt(5) + 0 + 3)**2 - (((sqrt(20)/sqrt(4))**2*1 - sqrt(5)) + 4)). -1150*sqrt(5) + 46126 Simplify ((1*sqrt(63)*-2 - 2*sqrt(63)*-1)/(sqrt(900) + (sqrt(900) - (sqrt(900) + sqrt(900) + 1*(sqrt(900) - 1*sqrt(900)) + sqrt(900)))))**2. 0 Simplify -3*((sqrt(180)*5)**2*2 - sqrt(180) - ((sqrt(180) - (sqrt(180)*-5 - sqrt(180))) + -2))*2. -54012 + 288*sqrt(5) Simplify (sqrt(224)/sqrt(4)*-6 + (-1*sqrt(392))/sqrt(7))/(5*3*sqrt(512)*-3). 7*sqrt(7)/360 Simplify -4 + (-3 + sqrt(1900) + 1)**2 + 1 - (5 + ((sqrt(304)*2)**2 + sqrt(304) - (-3 + (0 + sqrt(19) - sqrt(19)) + sqrt(19))**2) + 2). -50*sqrt(19) + 706 Simplify 3*(4 + 3 + -4 + -4 + (-2*sqrt(432) + 5)**2 + 4). -720*sqrt(3) + 5268 Simplify ((sqrt(504) + sqrt(504) + sqrt(504)*-2)*6*-3)/(-4*(sqrt(847) + sqrt(847) + sqrt(847)*3 + sqrt(847))*-4). 0 Simplify 3 + (0 + (sqrt(605) + sqrt(605) + -1)**2 + -3 + sqrt(605) + 2)*3 + 1. -99*sqrt(5) + 7264 Simplify (1*4*(sqrt(200) + (sqrt(200) - -3*sqrt(200))))**2 + sqrt(72)/(sqrt(18)/sqrt(2))*-2. -4*sqrt(2) + 80000 Simplify (-2 + (2*sqrt(60)/sqrt(2) - sqrt(300)/sqrt(360))/(-2*sqrt(150)*5 - -5*(sqrt(150) - ((sqrt(150) - sqrt(150)*1) + sqrt(150)))))**2. 11*sqrt(5)/75 + 72121/18000 Simplify -4 + -2*((-1 + -3 + 1 + sqrt(147) + -1)**2 + -5). -320 + 112*sqrt(3) Simplify (((sqrt(104)*-2 + sqrt(104))*3 + -6*sqrt(104)*2)/(sqrt(88)/sqrt(275) + sqrt(800)*3))**2. 73125/22801 Simplify 1 + sqrt(68)*1 + 2 + sqrt(68) + (-2*sqrt(68)*-1)**2 + -1 + 0. 4*sqrt(17) + 274 Simplify ((-4 + -1*(5 + (sqrt(112)*1 + sqrt(112) + -2 - sqrt(112)) + -4*(sqrt(112) + -1 + sqrt(112))))*-1)**2. -616*sqrt(7) + 5609 Simplify 1 + (sqrt(77)*2*-3 + -1*sqrt(77)*-2)/(sqrt(343) + 6*1*sqrt(343)) + -5. -4 - 4*sqrt(11)/49 Simplify (-3 + sqrt(1377) + -1 + sqrt(1377) + sqrt(1377) + (3*(sqrt(1377) + 0) - sqrt(1377)))**2 + -2 + ((sqrt(1377) + 2*sqrt(1377))*1)**2 + -1. -360*sqrt(17) + 46831 Simplify ((sqrt(4752) + (sqrt(4752)*-2 - sqrt(4752)) + (sqrt(33) - (sqrt(165) + sqrt(165)*-2)/sqrt(5)))*-6)/((sqrt(176)/sqrt(4)*1)/(sqrt(576)*-1)). -1584*sqrt(3) Simplify (-3*(sqrt(448) + (-1*sqrt(448) - sqrt(448)))*-2*2 - (0 + -5 + 2*sqrt(448)*-2))**2. -640*sqrt(7) + 28697 Simplify (1*sqrt(72) + -1)**2 + sqrt(72) + (sqrt(72)*-1*1)**2 + ((2*(sqrt(72) - (1 + sqrt(72))))**2 - (sqrt(72)*-3 + 3)). 12*sqrt(2) + 146 Simplify -3 + (sqrt(4896) + -4*(sqrt(4896) - sqrt(4896)*-1) + sqrt(4896) - sqrt(4896))/((sqrt(4) - (sqrt(4) - sqrt(20)/sqrt(5)))/sqrt(2)*-3)*-1. -28*sqrt(17) - 3 Simplify (((6*sqrt(147)*2)/(sqrt(77)/(sqrt(44)/sqrt(4))))/(-2*6*sqrt(300)*-2))**2. 7/400 Simplify (4 + -4 + (sqrt(176) - (sqrt(176) + (-2*sqrt(176) + 1 -
{ "pile_set_name": "DM Mathematics" }
h**2 + 4*h. Let c(x) = -3*x**2 - 2*x. What is -11*c(j) - 6*z(j)? -3*j**2 - 2*j Let g(m) = -m**3 - 5*m**2. Let a be (5/3)/((2/(-6))/(-1)). Let p(x) = -3*x**2. What is a*p(c) - 3*g(c)? 3*c**3 Let h(t) = -5 + 6 - 2 + 7*t + t**2 - 6*t. Let p(i) = 4*i**2 + 2*i - 2. Let n be ((-4)/6)/(1/3). Let g be (-1)/1 - (-4 - n). Determine g*p(m) - 2*h(m). 2*m**2 Let c(b) = b**3 + 28*b**2 - 3. Let s(n) = n**3 + 56*n**2 - 5. Determine 5*c(p) - 3*s(p). 2*p**3 - 28*p**2 Let a(y) = -y**3 - y**2 + 1. Let j(s) = 42*s**3 + 24*s**2 - 24. Determine -24*a(g) - j(g). -18*g**3 Let i(r) = 5*r - 16. Let g(u) = u - 3. Determine -22*g(l) + 4*i(l). -2*l + 2 Let q(u) = -2*u - 6. Let f(r) be the first derivative of r**3/6 + 2*r**2 - 4*r - 2. Let p(s) be the first derivative of f(s). Calculate 8*p(m) + 5*q(m). -2*m + 2 Let y(n) = -5*n + 5. Let g(c) = 20*c - 21. Give -2*g(h) - 9*y(h). 5*h - 3 Suppose 5*h = 3*n + 3, 3*n + 3 = -2*h - h. Let b(j) = h - 7*j + 0. Let s(w) = 6*w + 2*w - 3*w + 3*w. Give -7*b(r) - 6*s(r). r Let u(v) = -54*v + 4. Let i(l) = 27*l - 2. Determine 9*i(a) + 4*u(a). 27*a - 2 Let m(g) = g + 49. Let t(x) = -x - 50. Calculate -6*m(v) - 5*t(v). -v - 44 Let r(v) = v - 1. Let n(w) be the first derivative of w**3 - 3*w**2 + 7*w + 42. Give -n(d) - 5*r(d). -3*d**2 + d - 2 Let c(a) = a**2 + 5*a + 2. Let f(i) = -4*i**2 - 7*i - 1. Let d(w) = 9*w**2 + 15*w + 2. Let m(x) = -3*d(x) - 7*f(x). Determine 3*c(p) - 4*m(p). -p**2 - p + 2 Let f(z) = -3*z - 2. Let i(o) = 2*o + 2. Determine -4*f(y) - 3*i(y). 6*y + 2 Let s(i) = -21*i - 4. Let c(b) = -22*b - 5. Determine -5*c(f) + 6*s(f). -16*f + 1 Let q(d) = 8*d - 10. Let s(g) = -g - 1. Let m(r) = -q(r) + 3*s(r). Let v(c) = -10*c + 6. What is 6*m(k) - 7*v(k)? 4*k Let m(h) = 8*h - 8. Let v be (-6 + 2 + -2)/1. Let x(o) = -23*o + 23. Give v*x(z) - 17*m(z). 2*z - 2 Let l(w) = -w - 1. Let u(f) be the second derivative of -2*f**3/3 - f**2/2 - 36*f. Give -3*l(t) + u(t). -t + 2 Let d(i) = 4*i**2 + 2*i - 5. Let n(z) = -z**2 - 7*z - 8. Let u be n(-6). Let b be u/(-4*2/28). Let o(q) = -6*q**2 - 3*q + 7. Determine b*d(t) + 5*o(t). -2*t**2 - t Let w(p) = -p**3 + 5*p**2 - p + 7. Let m be w(5). Let b(g) = 1 - 6*g + 0 + m*g. Let z(t) = 5*t - 1. Determine -6*b(x) - 5*z(x). -x - 1 Let i(t) = 3*t**2 + 7. Let s(m) = 3*m**2 + 6. Give -2*i(p) + 3*s(p). 3*p**2 + 4 Let k be (0 + -2)/((-12)/30). Suppose 0 = 2*s + 3*h - 4 + 9, k = s - h. Let g(j) = 1 - 4 + j**s + 3. Let i(b) = 2*b**2. What is -8*g(c) + 3*i(c)? -2*c**2 Let n(t) = -t - 1. Let v(h) = 8*h - 2. What is -6*n(c) - v(c)? -2*c + 8 Suppose 0 = -0*k + 2*k - 6. Let q(s) = -s**2 + 4 + 9*s**k + 4*s**2 + 1 - 5*s. Let r(u) = 4*u**3 + u**2 - 2*u + 2. Let n = 1 - 3. Calculate n*q(h) + 5*r(h). 2*h**3 - h**2 Let t(x) be the second derivative of -7*x**3/6 + 2*x. Suppose 2*d + 0*d = 18. Let g(v) = -3*v. Let u be 2/4*(0 - 8). Calculate d*g(w) + u*t(w). w Let n = 0 + 0. Suppose -3*b + 2*b = n. Suppose g - 17 = 5*v, g - 3*v - 11 = -b*g. Let o(x) = 4*x**2 - 5*x. Let d(k) = 3*k**2 - 4*k. What is g*o(q) - 3*d(q)? -q**2 + 2*q Let p(u) = -u. Let g(w) = -7*w. Let r = -63 + 64. What is r*g(v) - 5*p(v)? -2*v Let x(n) = -14*n - 11. Let t(z) = 30*z + 21. What is -6*t(k) - 13*x(k)? 2*k + 17 Let w(a) = -4*a**3 - 3*a - 3. Let p(f) = -7*f**3 - 5*f - 5. Let i be -4 + 1 - (12 - 9). Give i*p(o) + 10*w(o). 2*o**3 Let o(c) = -c - 1. Let s(x) = -x**2 - 5*x - 5. Let j(f) = -2*f**2 + 4*f + 9. Let q be j(3). Calculate q*s(a) - 15*o(a). -3*a**2 Suppose -4*m + 6*g - 52 = g, -2*m - 2*g - 26 = 0. Let q(v) = -11*v**2 + 11. Let k(i) = -5*i**2 + 5. What is m*k(d) + 6*q(d)? -d**2 + 1 Let h(b) = -b**2 - b + 1. Let f(u) be the second derivative of u**4/2 + u**3/2 - 2*u**2 - 35*u. Give -f(z) - 5*h(z). -z**2 + 2*z - 1 Let d(g) = -g**2 + 3. Let o(w) = 8*w**2 - 6*w + 2. Let k(y) = 17*y**2 - 13*y + 5. Let j(p) = -6*k(p) + 13*o(p). What is 6*d(r) + 4*j(r)? 2*r**2 + 2 Let c(n) = -9*n**3 - 3*n**2 - 3*n. Let g(h) = 5*h**3 + 2*h**2 + 2*h. Suppose 0 = 6*w - w + p + 18, -4*p + 8 = 0. What is w*c(j) - 7*g(j)? j**3 - 2*j**2 - 2*j Let a(n) = n**3 - n + 1. Let v(m) = -2*m**3 + 4*m - 4. What is -4*a(w) - v(w)? -2*w**3 Let a(g) = -4*g**3 - 7*g**2 - 7*g + 7. Let q(c) = -2*c**3 - 4*c**2 - 4*c + 4. Give 4*a(s) - 7*q(s). -2*s**3 Suppose 0 = -f - 3*f + 4. Let t be 5/((-2 + f)/2). Let p(i) = -2*i - 9*i + 12*i - 3*i - 7. Let g(o) = -o - 4. Calculate t*g(s) + 6*p(s). -2*s - 2 Let c(z) = 8*z**2 - z + 5. Let n(o) = -17*o**2 + 2*o - 11. Give -9*c(s) - 4*n(s). -4*s**2 + s - 1 Let q(i) = -11*i**2 + 8*i + 8. Suppose 3*x - 7*x + 32 = 0. Let y(j) = 5*j - 2*j**2 + 5 + 3*j**2 - x*j**2. Let o be (-12)/(-7)*84/18. What is o*y(w) - 5*q(w)? -w**2 Let h(s) = -1 + s + 1 + 2*s + 3. Let c(d) = -d + 1. Let y(f) = -21*f + 35. Let k(t) = 28*c(t) - y(t). Determine 10*h(i) + 4*k(i). 2*i + 2 Let k(u) be the first derivative of u**3 - 2. Let o(d) be the first derivative of -4*d**3/3 + 2. Determine 6*k(s) + 5*o(s). -2*s**2 Let g(h) be the third derivative of h**4/24 - h**3/6 - 64*h**2. Let l(f) = -4*f**2 - 3*f + 3. Determine -3*g(d) - l(d). 4*d**2 Let c(b) = 16*b. Let x(u) = -u. Calculate -c(t) + 8*x(t). -24*t Let y(i) be the second derivative of -i**5/10 + i**3/2 + 2*i**2 - 11*i. Let d(s) = 6*s**3 - 8*s - 11. Give -3*d(q) - 8*y(q). -2*q**3 + 1 Let m(k) = 2*k**2 + 3*k - 3. Let v(d) = -7*d**2 - 4*d + 2. Let w(c) = 2*c**2 + 1. Let x(s) = -v(s) - 2*w(s). What is 4*m(y) - 3*x(y)? -y**2 Let x(b) = 10*b**2 + 3*b - 18. Let k(i) = 3*i**2 + i - 6. What is -7*k(z) + 2*x(z)? -z**2 - z + 6 Let a(k) = -k**2 - 3. Let y(w) = -8. Let r(c) = -7. Let t be ((-12)/(-1))/2*-1. Let h(o) = t*r(o) + 5*y(o). Determine -2*a(d) - 3*h(d). 2*d**2 Let x(h) = -h + 1. Let v(m) = 7*m - 13. Calculate -2*v(q) - 22*x(q). 8*q + 4 Let c(d) = -65*d + 4. Let l(a) = -12351*a + 759. Give -759*c(q) + 4*l(q). -69*q Let t(a) = -6*a**2 - 8*a + 3. Let d = 1 + 3. Let c = -9 + d. Let h(f) = -4*f**2 - 5*f + 2. Let i be (-2)/21 - (-4250)/525. Give c*t(p) + i*h(p). -2*p**2 + 1 Let x(a) = 6*a - 11. Let j(g) = 3*g - 6. Determine -5*j(b) + 3*x(b). 3*b - 3 Let d(p) = -p**3 - p**2 + 4*p - 6. Let h(v) = v**3 + v**2 - 3*v + 5. Give 3*d(m) + 4*h(m). m**3 + m**2 + 2 Let v(y) = 17*y**2 - 4. Let d(s) = 26*s**2 - 6. Calculate -5*d(m) + 8*v(m). 6*m**2 - 2 Let v(u) = 6*u - 4. Let x(f) = f. Give v(k) - 4*x(k). 2*k - 4 Let z(y) = -96*y**3 - 33*y - 33. Let m(q) = 6*q**3 + 2*q + 2. Determine 66*m(n) + 4*z(n). 12*n**3 Let l(o) = -13*o**3 - 33*o**2 - 9*o. Let w(j) = 6*j**3 + 16*j**2 + 4*j. What is 4*l(p) + 9*w(p)? 2*p**3 + 12*p**2 Let f(i) be the third derivative of -i**3/3 + i**2. Let z(w) = w + 2. Suppose 0 = -0*p + p. Suppose p*r - r = -1. Give r*f(n) + 2*z(n). 2*n + 2 Let j(z) = 16*z - 6. Let x(l) = -l - 1. Determine j(v) - 4*x(v). 20*v - 2 Let d(h) = 1. Suppose -j + 3*j = 0. Suppose -2*a + j = 4. Suppose -4*u + 3*l + 34 = -13, -2*l + 34 = 2*u. Let w(k) = k + 7. Determine a*w(f) + u*d(f). -2*f Let n(d) = d**3 - 31*d**2 - 32*d - 3. Let h be n(32). Let b(j) = -4*j**3 - 3*j**2 + 3*j - 3. Let q(i) = -i**3 - i**2 + i - 1. Determine h*q(a) + b(a). -a**3 Let y(r) = r - 1. Let d(l) = 11 - 7 - 5*l + 0. Let v be (-1 - 0 - 1) + 0. Calculate v*d(t) - 9*y(t). t + 1 Let s(i) = 4*i - 6. Let m(o) = -7*o + 11. Determine 3*m(v) + 5*s(v). -v + 3 Let y(q) = 2 - 2 + 4*q. Suppose -6 = -2*r + 2*m, -3*r - 3*m - 2 = -5*r. Let g(b) = -3*b + 0*b + 5*b. Determine r*g(j) - 4*y(j). -2*j Let l(j) = -j**2 + 4. Let r(w) = 2*w**2 - 7. Let b be (-4)/6 - (-16)/(-3). Let a be -9 - 1*(3 + -2). Determine a*l(u) + b*r(u). -2*u**2 + 2 Let l(m) = -3*m + 1. Let k(i) = i**2 + i - 1. Let z = 3 + -4. Suppose 0 = -0*g - g - 1. Calculate g*k(o) + z*l(o). -o**2 + 2*o Let z(j) = j**3 + 6*j**2 - 5*j + 4. Let l(x) = -x**3 - 5*x**2 + 4*x - 3. Let h = -13 - -17. Determine h*z(g) + 5*l(g). -g**3 - g**2 + 1 Let q(v) = v**2 - 6*v - 11. Let b be q(8). Let n(a) = -10*a. Let f(j) = 0*j + 0*j - 3*j. Give b*n(o) - 16*f(o). -2*o Let r(s) = s. Let q be (1 - (0 + -2)) + -4. Let f(p) = -5*p. Suppose i - 6 = 1. Let l = i - 11. Calculate l*r(d) + q*f(d). d Let m(u) = -2*u + 13. Let n(v) = 2*v - 12. Give -3*m(s) - 4*n(s). -2*s + 9 Let h(d) = 2*d + 6. Let a(k) = 1. Give 8*a(p) - h(p). -2*p + 2 Let a be (-1)/2*(3 - 5). Let h(p) = 0*p - p**2 + 0 - a - p. Let f(u) = 7*u**2 + 5*u + 6. What is f(q) + 5*h(q)? 2*q**2 + 1 Let l(j) = 6. Let x(
{ "pile_set_name": "DM Mathematics" }
o(p) = p + 3. Suppose 0 = 3*t + t + 36. Let n(s) = -1. Let j(m) = t*n(m) - 4*o(m). Give j(-2). 5 Let r be (-3)/6 + (-14)/(-4). Let l(o) = -7*o - 2 - 5*o**2 + 6*o + 7 + o**r. Determine l(5). 0 Let w(u) = u**3 + 5*u**2 + 4*u + 5. Let l(g) = -g - 18. Let a be l(-14). Give w(a). 5 Let m = 7 - 12. Let n(f) = -6*f**2 + 4*f + 5. Let j(p) = 5*p**2 - 4*p - 4. Let q(i) = -7*j(i) - 6*n(i). Determine q(m). 3 Suppose -3*l = -q - 18, q - 4*l = 12 - 35. Let s(c) = -c**2 + 2*c + 1. Let r(t) = t**2 - 3*t - 2. Let w(k) = q*s(k) - 2*r(k). Calculate w(0). 1 Let w(o) = -5*o. Let i(u) = -1. Let m(k) = -14*k - 4. Let a(l) = 4*i(l) - m(l). Let p(f) = -6*a(f) - 17*w(f). Give p(1). 1 Let t(q) be the second derivative of q**5/20 + 5*q**4/12 + q**3/2 - 2*q**2 + q. Suppose 0 = -4*c - 5*w - 32, -2*c + w - 10 = 2*w. Determine t(c). 5 Let b(c) be the first derivative of 3/2*c**2 - 4 - 1/3*c**3 + 2*c. Give b(4). -2 Let j(l) = l. Let y(b) = -6*b + 6. Let f(k) = 5*j(k) + y(k). Suppose 0 = -3*c + 4*q + 29, 2*c + 5*q + 19 = -0*c. Determine f(c). 3 Let s(a) = -a**3 - 5*a**2 - 4*a - 6. Let m be s(-4). Let d(w) = -w**2 - 7*w - 9. What is d(m)? -3 Let s(a) = -a**2 + a - 3. Let f(c) = c**2 + 2. Let x(d) = 3*f(d) + 2*s(d). Give x(-2). 0 Let l(d) = -d**3 + 6*d**2 - 3*d + 1. Let v be l(2). Let i = -11 + v. Let g(h) be the second derivative of -h**4/12 + h**3/6 + 2*h**2 - h. Determine g(i). 4 Let l(q) = 2 - 3*q + 0 + 0*q + 2*q**3 - 2*q**2. Let n be l(2). Suppose n*u = -0*u + 16. Let t(j) = j**3 - 3*j**2 - 6*j + 5. Determine t(u). -3 Let d(y) = -12 + 2 + 2 - 5*y + 7. What is d(-2)? 9 Let o(v) = 2*v**2 - 2*v + 1. Let b(i) = -i**3 + i + 3. Let a be b(3). Let y be (-5)/(-7) - 6/a. Calculate o(y). 1 Let t = 26 - 16. Suppose t = l + l. Let p(o) = o**3 - 5*o**2 + 1. Calculate p(l). 1 Let f(u) be the second derivative of 1/12*u**4 + u + 0 + 2/3*u**3 + u**2. Give f(-4). 2 Let q(p) = -3*p + 8. Let s(k) = -k**3 + 29*k**2 - 26*k - 62. Let r be s(28). What is q(r)? 26 Let p(o) be the second derivative of -o**5/20 - o**4/3 - o**3/3 + 3*o**2/2 - 11*o. Give p(-3). 0 Let v(t) be the first derivative of 3*t**4 + 2*t**3/3 + t**2/2 + 1. Suppose 0 = 3*a + a + 4. Give v(a). -11 Let x(b) = -7*b + b**3 - 6*b**2 + 6*b - 2*b. Calculate x(6). -18 Let m(f) be the first derivative of -3*f - 1/3*f**3 + 1/4*f**4 - 2 - 2*f**2. Suppose 4 = 2*v - 4*v. Give m(v). -7 Let r(h) = 5*h - h**2 + h - 2*h - 5. Let b be ((-1)/3)/(3/(-36)). What is r(b)? -5 Suppose -s - 5*i = 2*s, 4*s = -4*i + 8. Let g = 8 - 5. Let z(c) = c + c**3 - 5 - 6*c**2 + g*c + c. Determine z(s). -5 Let v(w) be the third derivative of w**6/120 + w**5/60 + w**4/24 - 2*w**3/3 + 11*w**2. Calculate v(0). -4 Let u(q) = q**2 - 2*q + 3. Let k(g) = -2*g**2 + 3*g - 5. Let h(m) = -3*k(m) - 5*u(m). Suppose 2*z = -d - 6, d + 0 - 6 = z. Let v = d - 6. Calculate h(v). 12 Suppose -28 = -4*j - 4*u, 4*j = -3*u + 24 - 0. Let l(i) = -i - j + 2 + 5. Calculate l(4). 0 Let k be (4 + -1 + -3)/(-2). Let g = k - -1. Let q(u) = 2*u**2 - 2*u + 1. Calculate q(g). 1 Suppose 4*g = -3*h + 19 - 3, -3*h = 5*g - 20. Let y(a) = 8*a**3 + 3*a**2 - 14*a. Let f(r) = -3*r**3 - r**2 + 5*r. Let z(i) = 11*f(i) + 4*y(i). Calculate z(h). 0 Let r(j) = 13*j**2 + 4*j + 7. Let b(o) = 2 + o + o**2 + 6*o**2 - 4*o**2. Let w(z) = 9*b(z) - 2*r(z). Let l(s) = -s**2 + 7*s - 6. Let a be l(6). Calculate w(a). 4 Let i(k) = k + 2. Let c be (-4)/26 + 54/13. Give i(c). 6 Suppose 0 = i - 1 - 1. Let z(d) = -2*d + i*d**2 + d**2 + d**2 - 3*d**2 + 4. What is z(4)? 12 Let h(i) be the first derivative of i**3/3 - 5*i**2/2 + 2*i - 9. Calculate h(2). -4 Suppose -4*m = -1 + 5, m + 13 = 4*h. Let i(z) be the third derivative of -h*z**2 + 0*z + 1/24*z**4 + 5/6*z**3 + 0. Calculate i(-5). 0 Let w(l) be the third derivative of -l**6/120 - l**3/3 - 6*l**2. Let s(u) = -u - 6. Let p be s(-6). Give w(p). -2 Suppose -2*p + 3*f - 7*f + 2 = 0, 0 = 3*p - 2*f + 13. Let b(g) be the third derivative of g**4/6 + 2*g**3/3 + g**2. What is b(p)? -8 Let r(k) = -5*k**3 + 2*k**2 - 10*k + 4. Let m(z) = -9*z**3 + 3*z**2 - 19*z + 7. Let p(q) = -6*m(q) + 11*r(q). Give p(5). -3 Let n(s) = 0*s - s - s + 3 - 3*s. Let z(w) = 1. Let u(h) = -1. Let g(o) = -4*u(o) - 5*z(o). Let f(c) = -5*g(c) - n(c). Calculate f(-2). -8 Suppose l = -2*l + 4*n - 12, 0 = -l + 5*n - 4. Let h(q) be the first derivative of -3*q**2/2 - 5*q + 1. What is h(l)? 7 Let w(g) = -1 - 2*g**2 - 4*g**2 + g + 4*g**2. Suppose -3*a - o - 6 = -8*a, -2*a + o = 0. Calculate w(a). -7 Let b = 1 - -3. Suppose 0 = 2*t - b*t - 2. Let g(i) = -5*i**2 + i. Give g(t). -6 Let n(i) = -2*i**2 + 9*i - 6. Suppose 5 = 3*g + 4*v, 5*v = 5*g + 2*v - 18. Let d(u) = -u**2 + u - 1. Let a(m) = g*d(m) - n(m). Determine a(-6). 3 Let o(x) be the third derivative of x**7/840 + x**6/90 + x**5/120 - 5*x**4/24 + 5*x**3/6 - x**2. Let s(l) be the first derivative of o(l). What is s(-4)? -9 Let b(q) = -q**2 - 7*q - 5. Let l = -34 + 27. What is b(l)? -5 Let y(n) = -6*n - 3. Let q(z) = -17*z - 10. Let x(v) = 4*q(v) - 11*y(v). Determine x(-6). 5 Let v be (3/(-2))/((-6)/20). Suppose 2*k - 2 = -0. Let u(s) = v*s - 4*s + s - s**3 - k. What is u(2)? -5 Let z(c) = -4*c + 2. Let n(q) = 5*q - 4. Let u(a) = -3*n(a) - 4*z(a). Determine u(-3). 1 Suppose -13 - 7 = -5*p. Suppose -5*z - p*y = -10 - 30, z + 2*y - 14 = 0. Let u(o) = o**2 - 1. Let g(a) = -2*a**2 - 3*a + 3. Let m(b) = g(b) + 3*u(b). Give m(z). 4 Let i(n) = n**3 + 3*n**2 + 7. Let c(x) = x**3 + 3*x**2 + x + 6. Suppose -q - q = 8. Let z(v) = q*c(v) + 3*i(v). What is z(-2)? 1 Let t(n) = n - 2. Let r(v) = -v + 3. Let c be r(0). Determine t(c). 1 Let k(z) = -2*z - 6. Suppose -3*v + 48 = -42. Let j = v - 15. Suppose -t = -4*t - j. Give k(t). 4 Let a be (-10)/(-2) + 15/(-5). Let u(w) = 2 - 5 + w**2 + 3 - a + 3*w. What is u(-4)? 2 Let p(i) = -i**3 + 5*i**2 - 3*i + 4. Suppose -b + 10 = -6*b. Let a = 6 - 3. Let o be (b/a)/(2/(-15)). Calculate p(o). -11 Let l(v) = -6*v. Let y = 4 + -9. Let u = y + 5. Let g be ((-2)/(-2))/(1 + u). Calculate l(g). -6 Let y be (-2)/(-7) - 48/(-28). Let p(w) = -w**3 + w**2 + 1. Let z be p(y). Let l(c) = 2*c**2 + 4*c + 4. Give l(z). 10 Let y(f) = f - 10. Let x be y(4). Let t(m) = -6*m - 3*m**2 + 2*m**2 + m. Give t(x). -6 Let k(a) = -4 - 12 - a - 13 + 30. Give k(6). -5 Suppose -6 = -5*j - 2*p, 5*p - p + 4 = -2*j. Let x(q) = 2*q + 1 + q - 4*q + 3*q**j. Determine x(1). 3 Let t(r) = -5*r**2 + 6*r + 3. Let c(g) = -g**2 + 1. Let m(u) = 4*c(u) - t(u). Give m(3). -8 Let j(u) be the first derivative of u**3/3 - u**2 - u - 1. Determine j(2). -1 Let g(o) = -5*o**2. Let u = 12 - 11. Calculate g(u). -5 Suppose 3*q = 5*u - 9, -3*u - 3*q + 0*q + 15 = 0. Let r(h) = -3*h**3 + 2 + h**u + h**3 - 6 + 2*h - h**2. Give r(-3). 8 Let k(c) = -2*c**2 + c + 1. Let z be k(2). Let u(m) = m**3 + 4*m**2 - 7*m - 6. Calculate u(z). 4 Let n = -2 - -6. Let v be 2/2*(7 - 2). Let x(a) = 2 + 2*a**3 + v*a**2 - 6 - 4*a - 3*a**3. Calculate x(n). -4 Suppose 0 = y - 6*y + 3*j - 1, 2*y - 5 = 3*j. Let o(q) = 2*q + 1. Calculate o(y). -3 Let z(i) be the third derivative of i**6/120 + i**5/60 + i**4/24 + i**3/2 + 3*i**2. What is z(0)? 3 Let g(t) = -t**3 - t**2 + t + 4. Let d be g(0). Let l(w) = 5*w**2 - 6*w + 10. Let y(v) = -6*v**2 + 6*v - 11. Let s(x) = -5*l(x) - 4*y(x). What is s(d)? 2 Let a(q) = -2*q - 3. Let x(b) = -b**2 - 7*b - 10. Let o be x(-6). Calculate a(o). 5 Let f(o) = -7*o + 9. Let q(w) = 8*w - 10. Let u(h) = 7*f(h) + 6*q(h). Give u(-4). 7 Let b(h) = 0*h - 1 - 2*h + 0. Let a(l) = l**2 + 2*l - 4. Let s be a(-3). Let j be 2/(-2) - (3 + s). What is b(j)? 5 Let g(z) = 0*z + 7*z + z**2 + 2 + 1. Let y be g(-7). Let w(r) = -4*r**2 + 2*r**3 - r**y + 0 + 5*r**2 - 1. Determine w(0). -1 Let z(f) = -f - 2. Suppose 8 = 5*j - 7. Suppose 4*k = 4*v + 20, -5*k + 2*k + 9 = j*v. What is z(v)? -1 Let j(t) = -t**3 + 3*t - 1. Let n = 5 - 3. Suppose 0*k - 16 = -n*k. Let u be (24/(-16))/((-6)/k). Determine j(u). -3 Let a(z) = z. Let n be (-30)/25 + (-2)/(-10). Let q be a(n). Let b(j) = 6*j**3 - j**2 - 2*j - 1. What is b(q)? -6 Let v = -1495/6 + 250. Let m(x) be the third derivative of 1/4*x**4 + 3*x**2 - 1/60*x**5 - v*x**3 + 0 + 0*x. Determine m(5). 0 Let s(i) = -2*i**3 + 21*i**2 + 3*i**3 + 15 - 26*i**2 - 9*i. Let p be s(6). Let n(h) = -h**3 - 2*h**2 + 2*h - 1. Give n(p). 2 Let n(o) = -o**2 + o - 3. Let q(a) = a**2 - a + 4
{ "pile_set_name": "DM Mathematics" }
+ 2 + 920*b + 3*b**2 - 920*b. b**2 + 2 Expand (9*s**2 + 11*s**2 - 8*s**2)*(29*s**3 + 23*s**2 - 23*s**2). 348*s**5 Expand -4*w**2 + 2*w**2 + w**2 + (4*w - 2*w + w)*(-23086 + 23086 + 210*w). 629*w**2 Expand (-4*s + 4*s - s)*(-s**2 + s**2 + s**3) + (29*s**4 + 5016*s**2 - 5016*s**2)*(-1 - 3 + 1). -88*s**4 Expand (745*l - 178*l - 252*l + 722*l)*(-2 - 3 + 3 + (-2 + 1 + 0)*(0 + 1 + 0)). -3111*l Expand l**4 - 3*l**4 + l**4 + (l**2 + 3*l**2 - 3*l**2)*(-92*l**2 + 211*l**2 + 368*l**2). 486*l**4 Expand -2*x**4 + 6*x**4 - 14*x**3 + 12*x**3 + (x - x + 4*x**3)*(-4*x + 2*x + 0*x). -4*x**4 - 2*x**3 Expand (-2*f - f**4 + 4*f + 9*f**4)*(-4 + 4 + 2)*(11*f + 104*f - 20*f). 1520*f**5 + 380*f**2 Expand -4 + 4 + 2*q**4 + (5*q**4 - 9*q**2 + 9*q**2)*(-1 + 2 + 2). 17*q**4 Expand 1957*p - 872*p - 815*p + (-p + p - 2*p)*(-2 - 2 + 6). 266*p Expand -4*h**3 + 13*h**3 + 0*h**3 + (-3*h**2 - 3*h**2 + 35*h**2)*(-2*h + 5*h - 2*h). 38*h**3 Expand -16*w**4 - 26*w**2 + 26*w**2 + (-4*w**2 - w**2 + 6*w**2)*(32*w**2 + 100*w**2 - 25*w**2). 91*w**4 Expand (-242 + 492 - 243 + 10*g)*(-3 + 4 - 2). -10*g - 7 Expand 57*t**3 - 54*t**3 - t**4 - 5*t**4 + (8*t**2 - 27*t + 27*t)*(-3 + 3 - t**2). -14*t**4 + 3*t**3 Expand -5*w**5 + 3*w**5 + 4*w**5 + (8 - 1 - 3)*(-3*w**5 + 3*w**5 - 2*w**5) + w**5 + 20*w**5 - 14*w**5. w**5 Expand (-639*y**3 - 650*y**3 - 2*y**2 + 1298*y**3)*(-2*y**2 + 2*y - 2*y). -18*y**5 + 4*y**4 Expand (26*g - 11*g - 13*g + 27*g)*(-2*g + 0*g - 4*g). -174*g**2 Expand (-29*m**4 + 3*m**4 - 7*m**4)*(-1 + 4 - 1) + m**4 + m**2 - m**2 + (-m + m + 2*m)*(0*m**3 + 3*m**3 - 4*m**3). -67*m**4 Expand 42*a + 23*a - 10*a + 0 - 4*a + 0 + (-1 + a + 1)*(-1 - 1 + 0) + 2*a + 0 + 0 + (-3*a + a + a)*(0 - 3 + 4) - 3*a + 2 - 2. 47*a Expand (2 - 50 - 28)*(-10 + 6*m**4 + 10). -456*m**4 Expand (-1 + 3 - 4)*(-3*g**3 + 1 + 22*g**2 + 43*g**2 - 63*g**2 + 4*g). 6*g**3 - 4*g**2 - 8*g - 2 Expand (-4*q + 3*q + 3*q)*(7 + 0 + 5 - 2*q**2)*(9*q - 4*q**2 - 9*q). 16*q**5 - 96*q**3 Expand ((3 + 2 - 3)*(-2 - 1 - 1)*(-3 + 3 - 1) - 5 - 1 + 4)*(8*r**2 + 1 - 1). 48*r**2 Expand (-3*q**2 + 2*q**2 + 0*q**2)*(-47 + 86 + 1255). -1294*q**2 Expand ((-2 + 1 + 3)*(-4 - 10 - 7) + 2 + 1 - 4 + (1 + 0 - 3)*(-3 + 3 + 1))*(10 - 10 + p). -45*p Expand -d**2 + 4 - 4 + (4 - 4 - d)*(4*d + 0*d - 2*d) + 2*d**2 + d**2 - d**2 + (-6*d + 3*d + d)*(761 + 13*d - 14*d + 357). d**2 - 2236*d Expand (3 + 2 - 4)*(-3*c + 2*c + 0*c)*(-123 + 235 + 276). -388*c Expand -2*u**3 + 0*u**3 - u**3 + (10 + 1 - 2)*(8*u - 8*u + 4*u**3). 33*u**3 Expand y**3 + 4*y**4 - y**3 + (-27*y**3 + 21*y**3 - 50*y**3)*(-5*y + 2*y + 0*y). 172*y**4 Expand (-2*b**2 + 2*b**2 + 2*b**2)*(-29*b - 8*b - 18*b). -110*b**3 Expand (r + 2*r + 2*r)*(-4*r - 11*r - 41*r - 67*r). -615*r**2 Expand (-1 - 9 - 3)*(-1 - 4 + 6)*(-89*o**4 + 88*o**4 - 11*o**2 - o**2). 13*o**4 + 156*o**2 Expand (110 - 10 + 209 + 11)*(-3*s - 4*s + 6*s). -320*s Expand (-5*a**2 + 5*a**2 - 3*a**2)*(2*a + 3 - 3)*(4*a - 5*a + 4*a). -18*a**4 Expand 2*t**5 - 3*t**5 + 2*t**5 + (3 - 3 - 1)*(-4*t**5 - 4*t**5 + 2*t**5) + 87*t**5 + 96*t - 96*t. 94*t**5 Expand (-3 + 3 + 2)*(-38*h**4 + 10*h**4 - 17*h**4) + (-2*h**2 + 2*h**2 - h**3)*(1 - h - 1) + 2*h**4 - h**4 + 2*h**4. -86*h**4 Expand 4*g**2 + 2*g**3 - 4*g**2 + 2*g**3 + g**3 - 2*g**3 + (2*g - g + g)*(0*g**2 - 2*g**2 + g**2) + 14 - 37*g**3 - 2 + 39*g**3. 3*g**3 + 12 Expand (-s**4 + 4*s**4 - 2*s**4)*((-3*s - 2*s + s)*(3 - 4 + 3) + 0*s - 7*s - 3*s). -18*s**5 Expand (3*a**2 - 3*a**2 + a**3)*(5*a**2 - 4*a**2 - 5*a**2) + (-1 + a + 1)*(-64*a**4 + 54*a**4 - 121*a**4). -135*a**5 Expand (-5*b**2 + 0*b**2 + 4*b**2)*(9 - 1 - 2)*(0 + 8 + 8) + (-2*b + 4*b - b)*(-b + 3*b - 3*b). -97*b**2 Expand -2*x**3 - x**3 - 3*x**3 + (0 + 3*x + 0)*(x**2 + 5*x - 5*x) + 3 - 3 + 2*x**3 + (0*x**2 + x**2 + 0*x**2)*(-3*x + 0*x + 4*x) + x**3 - 2*x**3 + 0*x**3. -x**3 Expand (4 - 1 + 59)*(-3*p**2 - 2 + 2 + (-1 - 2*p + 1)*(-2 + 2 + 3*p))*(2 + 2*p - 2). -1116*p**3 Expand (0*k**3 - 5*k**3 + 3*k**3)*(34*k**2 - 5*k**2 + 56*k**2) + 2 - k**5 - 2. -171*k**5 Expand (-191*p**4 - 59*p**4 + 54*p**4)*(-1 + 0 - 1). 392*p**4 Expand 14 + 7 + 48*f - 45*f + (5*f - 3*f - f)*(-1 + 3 - 1). 4*f + 21 Expand (1 + 2 - 5)*(0*y**4 - 3*y**4 + 4*y**4) + 4*y**4 + 0*y**4 - 6*y**4 + (0 + 0 + 2)*(28*y**4 + 21*y**4 - 63*y**4). -32*y**4 Expand (194*g**2 + 35*g**2 + 137*g**2)*(-3*g + 2*g + 0*g)*(1 + 0 + 1). -732*g**3 Expand (0 - 2 - 21*w**3 + 1)*(w**2 + 0*w**2 + 2*w**2). -63*w**5 - 3*w**2 Expand (43 + 4*q - 43 + 3*q**4)*(7 + 3 + 3) + q**4 + 0*q**4 + 0*q**4. 40*q**4 + 52*q Expand (46*z**2 + 40*z**2 + 4*z - 21*z**2)*(1 + 0 + 2 + z). 65*z**3 + 199*z**2 + 12*z Expand (-2493*f - 89*f**2 + 2493*f)*(-11*f + 1 - 1). 979*f**3 Expand -o + o + 2*o**3 + (-3*o + 3*o - 3*o)*(4*o**2 - 3*o**2 - 2*o**2) - o**2 + o**2 - o**3 - 388*o**3 + 508*o**3 + 379*o**3. 503*o**3 Expand (-3 + 3 - 2*i)*(-3 - 2 + 4)*(-i**3 - 4*i**3 - 2*i**3). -14*i**4 Expand (-g**2 + g**2 - 5*g**2)*(1 + 0 + 0) + (3 - 1 + 0)*(-2*g + 2*g - 5*g**2). -15*g**2 Expand 0*y**3 + 0*y**3 - y**3 + 0*y**3 + 0*y**3 + 2*y**3 + (-2*y + 3 - 3)*(-2*y**2 - 3 + 3) - 2*y**3 + 2*y**3 + 2*y**3 - 540*y**3 + 174*y**3 + 43*y**3. -316*y**3 Expand ((-5*f + 3*f + 0*f)*(1 + 0 + 1) + 2*f + 5 - 5)*((-3 + 2 + 3)*(-2 + 5 - 2) + (5 - 5 - 2)*(1 + 1 - 4) + 48 + 31 - 4 + (-1 - 3 + 3)*(-4 + 2 + 4)). -158*f Expand (-174 - 82 - 9 - 483)*(-2*t**4 - 1 + 1 + t**4 - t**4 + t**4 - t**4 - 5*t + 5*t - 2*t**4 - 2*t**3 + 2*t**3 + (t + 3*t - 3*t)*(-2*t**3 + 2*t**3 - t**3)). 3740*t**4 Expand (1 - 3 - 1)*(-12*t**2 + 8*t**2 + 7*t**2 - 8*t) + 0*t**2 + 0*t**2 - 4*t**2. -13*t**2 + 24*t Expand 274*l**4 - 140*l**4 - 142*l**4 - l**4 - 2*l**3 + 2*l**3 + (1 - l**2 - 1)*(-1 + l**2 + 1) - 2*l**4 + 3*l**4 - 2*l**4. -11*l**4 Expand v**4 - v**4 - v**4 + (4*v**3 - 2*v**3 - 3*v**3)*(2*v - 3*v + 3*v) - 7*v**4 + 0*v**4 - 4*v**4 + v**2 + 2*v**4 - v**2. -12*v**4 Expand 0*q**4 - q**4 - 2*q**4 + (1 + q - 1)*(0*q**3 + 0*q**3 + 2*q**3) - q**4 - 3*q**4 - 20*q**4. -25*q**4 Expand (-418*d + 217*d + 155*d)*(-16*d + 12*d + 9*d + 3). -230*d**2 - 138*d Expand (-5 + 2 + 4)*(2*f - 3*f + 2*f) - 4*f - f + 3*f + 7*f + 4*f - 12*f. -2*f Expand (6*t - t + 4*t)*(15 + 1 - 4). 108*t Expand (8 - 8 - 2*q)*((-3 - 1 + 3)*(-5*q**2 + 4*q**2 - 4*q**2) - 2*q**2 + 3*q**2 - 2*q**2). -8*q**3 Expand (-3*s**4 + 0*s + 0*s)*(45 + 105*s + 120*s - 320*s + 107*s). -36*s**5 - 135*s**4 Expand (-20 - 7 + 41)*(-q**4 + 7*q**4 - 2*q**4) + (1 - 1 + 2*q**2)*(q**2 + 0*q**2 - 3*q**2). 52*q**4 Expand (-8 + 4*b**2 + 8)*(1 + 3 - 1)*(0 + b**3 + 0) + 2*b**2 + 27 - b**5 - 27. 11*b**5 + 2*b**2 Expand (1 - 2 + 4)*(0*o + o**3 + 0*o) - 15 + 59*o**3 - 131*o + 14 + 120*o. 62*o**3 - 11*o - 1 Expand (-19*p + 13 - 16 - 17*p**2 + 20*p)*(0 - 2 + 0). 34*p**2 - 2*p + 6 Expand (1 + 2 - 2)*(3*p - 7 + 7) - 5 - p + 5 + 3 + 4*p - 3. 6*p Expand (-3*r**4 - r**4 + 2*r**4)*(-7 + 2 - 2 + (-3 + 3 - 2)*(1 + 0 + 0)). 18*r**4 Expand (-3*m**3 + 3*m**3 - m**3)*(1070 + 648 + 504 + 951). -3173*m**3 Expand (0 + 2 + 2)*(-4*q + 0*q - 4*q)*(-2*q + q + 2*q). -32*q**2 Expand (5*l - 21 + 19 + 1 - 3*l**2)*(2*l**2 + 4*l**2 - 4*l**2). -6*l**4 + 10*l**3 - 2*l**2 Expand (97*p - 43*p - 53*p + 6 - p**2)*(-4 + 1 + 1). 2*p**2 - 2*p - 12 Expand (-80 + 45 + 51)*(-15*z + 3 - 4 + 12*z). -48*z - 16 Expand (0*y**3 + 0*y**3 + 4*y**3 + (0*y + 0*y + y**2 + (3*y + 0*y - 2*y)*(0*y + 2*y + 0*y))*(-2*y + 4*y + 2*y))*(14*y + 1 - 2 + 60*y). 1184*y**4 - 16*y**3 Expand (1 - 1 + 2*d)*(9*d**2 + 3289*d**3 + 8*d**2 - 3299*d**3). -20*d**4 + 34*d**3 Expand 0*o + 5*o + 4*o + (4 + 0 - 7)*(41*o - 18*o - 19*o). -3*o Expand -20*c - 1 + 8*c - 18*c + (2*c - 2*c + 2*c)*(6 - 2 - 1). -24*c - 1 Expand 2*t**2 + 0*t**2 + 0*t**2 + (-3*t - 2 + 2)*(3*t + 2*t - 6*t) + 0*t - 2*t**2 + 0*t - t**2 + 5 + 2*t**2 - 9. 4*t**2 - 4 Expand (1 - 1 + 2*r)*(5 - 4 + 2)*(-558*r + 306*r + 368*r). 696*r**2 Expand (-71*w**3 + 25*w**4 + 71*w**3)*(-3 + 2 + 3 + 3*w). 75*w**5 + 50*w**4 Expand (-2*x**3 - 3*x**3 + 2*x**3)*(-1 - 2 + 1) + (-2*x + x + 3*x)*(-133 + 133 + 7*x**2). 20*x**3 Expand ((72*w + 562 - 562)*(1 + 1 - 4) + (0 - 1 + 2)*(0*w - 4*w + w))*(-12 + 9*w + 12). -1323*w**2 Expand (-11*x - 2*x - 2*x)*(-6*x + 9*x + 7*x)*(-2*x**2 + 0*x**2 - x**2). 450*x**4 Expand (-18*j**4 - 33*j**4 + 16*j**4)*(-3*j - 2*j + 7*j + (-2 + 5 - 4)*(-3*j - 3*j + 2*j)). -210*j**5 Expand (1 - 3*i - 1)*(0 - 3 + 1)*(-11*i + 11*i + 17*i**2). 102*i**3 Expand 4*i**2 + 11
{ "pile_set_name": "DM Mathematics" }
5). Let l = c - 7. Calculate the lowest common multiple of 6 and l. 42 Suppose -4*w - 188 = -4*r, 3*r = 2*w - 41 + 177. Calculate the smallest common multiple of 36 and r. 252 Let h be (1/(-1635))/(26/280506). Let x = 2/1417 - h. Let f = -21235/8 + 2647. Calculate the common denominator of f and x. 40 Let v = 196 - 194. Calculate the least common multiple of v and 20. 20 Let l = 1413/59 - -255839/295. Let r = l - 882. Let j = 43/28 - 2/7. What is the common denominator of r and j? 20 Suppose 0 = 2*o + 3*g + 72 + 95, 0 = 5*o + 2*g + 434. Let z = 148 + o. Calculate the lowest common multiple of z and 22. 660 Let i = 15381 - 430727/28. Calculate the common denominator of i and -155/84. 84 Suppose 1 = 15*b - 16*b. Find the common denominator of 109/30 and b/8 + (1130/(-624))/5. 390 Let b(w) = w**3 - 2*w**2 + 11*w - 16. What is the least common multiple of b(4) and 20? 60 Find the common denominator of (2/(-20))/(1*(-10)/710) and 91/1198. 5990 Let x = -621/2 + 4981/16. What is the common denominator of 5/14 and x? 112 Suppose 0*t - 4*t + 73 = 5*f, t + 8 = 4*f. Suppose -t*n + 9*n + 9 = 0. What is the smallest common multiple of n and 12? 12 Let q = -5680 - -425963/75. Calculate the common denominator of -31/45 and q. 225 Let u be 27/(-12) + (-3)/(-12). Let m be (u/((-132)/(-2)))/(-9). Let j = 15739/594 + m. Calculate the common denominator of j and 9/4. 4 Let k be 1/(3 + 114/(-39)). Suppose -k - 19 = 4*v. Find the common denominator of -43/20 and 54/v*(-12)/(-14). 140 Find the common denominator of -32/21 and 18/(-186)*16/(-18). 651 Let w be (-85)/(-3) - (-4)/6. Suppose 11 = -3*x + w. What is the least common multiple of x and 62? 186 Suppose -5634 = -5*r + 8481. Let h = r - 56573/20. What is the common denominator of h and 13/16? 80 Let q = 13 + -12. Let b(j) = -j**2 - 7*j + 11. Calculate the smallest common multiple of b(-7) and q. 11 Suppose -3*t + 65 = 53. Calculate the smallest common multiple of t and 36. 36 Let g(i) = 42*i**2 - 6*i + 9. Calculate the least common multiple of g(1) and 30. 90 Let a = -2/353 - 21527/1059. Calculate the common denominator of a and ((-43)/9)/(6/18). 3 Let l = -32563/2 + 16677. Let d = l - 371. Calculate the common denominator of d and -41/9. 18 Let m be 60/(-34) - (-4 + 2). Let u = -881/204 + m. Calculate the common denominator of 51/10 and u. 60 Suppose 3*i - 1573 = 14*i. Calculate the common denominator of 71/21 and 26/i - ((-3482)/396 + 1). 126 Suppose -12604 = f - 4487. Let u = f + 65025/8. Calculate the common denominator of u and ((-15)/(-8))/(21/(-76)). 56 Let z(h) = h**2 - h + 5. Let q be z(0). Let j = q - -7. What is the least common multiple of (-8)/j + (-64)/(-6) and 6? 30 Let d = 10 - 12. Let i be (-2 - 1)/(d/(-4)). What is the common denominator of -45/16 and (43/i)/((-44)/(-33))? 16 What is the common denominator of (-13)/(-104) - 1846/(-464) - 4 and 16? 29 Calculate the smallest common multiple of 264 and ((-48)/5)/((-35)/1050). 3168 Suppose 7*p = -10*p + 102. What is the least common multiple of 64 and p? 192 What is the common denominator of 8/(-6) + (-61)/(-9) and 7/552? 1656 Let i = -624/5 + 481/4. Calculate the common denominator of 99/32 and i. 160 Let m = 18 + -10. Calculate the smallest common multiple of m and 70. 280 What is the smallest common multiple of 50 and ((-20)/(-6))/(10 + (-472)/48)? 100 Let q = -16 - 19. Let g = 67 + q. Suppose -s = -2*h - g, -s - 3*h = -8*h - 47. What is the lowest common multiple of s and 22? 22 Let i be 4 - (1 - (-2 - 2)). Let a be (-1 - -2)/(2/4). Let t = i + a. Calculate the smallest common multiple of 10 and t. 10 Let f = -33262/4041 + 4/449. Calculate the common denominator of 101/8 + -2 - 2/4 and f. 72 Suppose -c = 4*n - 0*c - 1, 5*n + 3*c = -4. What is the least common multiple of 10 and (n - 1*-10) + 2? 130 Calculate the common denominator of 74/3 and (-1313)/(-130) + ((-35)/(-10) - 3). 15 Let l = 1263 - 1254. Calculate the least common multiple of 13 and l. 117 What is the least common multiple of (2 + -3)*-3 + 3 and -15*(-210)/42*(-1)/(-5)? 30 Let v = 132354 + -278869872/2107. Let r = v - 208617/8428. Calculate the common denominator of (-459)/(-18) - 3*1 and r. 4 Suppose -10 = -w + 5*o, 6 = 2*w - 4*w - 3*o. Calculate the common denominator of -23/16 and 63/(-77) - (0 + w + 1). 176 Suppose -15*l - 3*l = -90. Calculate the least common multiple of l and 4 - 0/(-4) - -6. 10 Suppose 0 = 2*b + 2, 5*k - 34 - 52 = b. Let t = 5 - k. Let u = t + 16. What is the least common multiple of 14 and u? 28 Let u = 1106 + -1094. Suppose 0 = 5*j + 2*s + 74 - 13, 2*s + 35 = -3*j. Let i = -5 - j. What is the smallest common multiple of i and u? 24 Let m = -26 - -56. Suppose -j = 2*j - m. Suppose 19*n - 7*n = 24. Calculate the least common multiple of j and n. 10 Let o = 632089/748 + -21564/17. Let w = o + 421. What is the common denominator of -123/40 and w? 440 Let j be ((-8)/(-12))/(8/228). Let d = j - 15. Find the common denominator of -44/5 and (d - 5)/(2/44). 5 Let p = 3 + 9. Calculate the common denominator of p/8*85/12 and (58/10)/((-16)/10). 8 Let k = 423/7 - 2371/42. Calculate the common denominator of k and 53/18. 126 Let n = -68255 + 3958687/58. Calculate the common denominator of n and 77/4. 116 Suppose 2*i - 5*i = -30. Let m = -180 + 202. Calculate the least common multiple of i and m. 110 Let k = 129 + -1549/12. Find the common denominator of k and -11/12. 12 Let a be 9*1/(6/4). Suppose -11*k + 14 = -9*k. Let h = k - a. What is the lowest common multiple of h and 7? 7 Let o = -25 - -29. Let c(m) = m**3 - 6*m**2 + 5*m + 1. Let k be c(5). Calculate the lowest common multiple of k + 17 - 4/(-2) and o. 20 Let j(i) = -i**3 - 2*i**2 - i. Let q be j(0). Find the common denominator of q - (1 + 388/80) and 25/16. 80 Let b = -907 + 1847/2. Find the common denominator of -1/7 and b. 14 Let w be (-1)/(-1) + 2494/(-2528). Let o = 6/79 - w. What is the common denominator of (23/28 + -1)/((-15)/30) and o? 112 Suppose 0 = -4*n + 5 - 1. Let a = n - 3/22. Find the common denominator of a and -113/6. 66 Calculate the lowest common multiple of ((-10)/150*-5)/((-3)/(-792)) and 12. 264 Let j(n) = n**2 - 3*n - 6. Let p be j(5). Let g be (p*1/254)/2. Let c = g + 9011/762. Calculate the common denominator of -4/11 and c. 66 Suppose 32940 = 62*n - 52*n. Calculate the lowest common multiple of 18 and n. 3294 What is the least common multiple of -18*(-4)/162 + (-752)/(-9) and 140? 420 Let o = -394/23 + 3713/253. Let q = -22590621/14062 - -9/7031. Let b = q + 1567. Find the common denominator of o and b. 22 Let s = 273 + -183. Suppose 0 = -3*u - 2*u + s. Let k = -43 - -63. What is the lowest common multiple of u and k? 180 Suppose k + 3*p - 7*p - 76 = 0, 5*p + 293 = 4*k. Calculate the least common multiple of k and 2. 72 Suppose -s = k + 1, 0*k = 3*k + s - 3. Let x(j) = -j**3 + j**2 + 3*j. Let i(a) = a + 6. What is the smallest common multiple of x(k) and i(5)? 22 Let w = 6 + -5. Find the common denominator of 55/4 and 3*(0 - w) + 935/102. 12 Find the common denominator of 1434/(-120) + (-5)/(50/8) and 91/4. 4 Suppose 0 = -3*z - 4*x + 1202, -8*z - 5*x = -5*z - 1198. Calculate the least common multiple of 12 and z. 2436 Let r = -175 - -200. Calculate the least common multiple of 100 and r. 100 Let b be -1 + (-3)/(14319/(-73192)). Let t be 1 - (-6 - 11139/(-1591)). Let n = b + t. Calculate the common denominator of -9 and n. 3 Suppose 4*d + 8*s - 3*s - 42 = 0, -5*s = -10. Let p be 988/(-560) - d/28. Let a = 12/5 - p. Find the common denominator of 37/4 and a. 20 Let q = -31 - -9. Let t = q - -36. What is the lowest common multiple of 116 and t? 812 Let h be (-2)/((-2)/12 + 0). Suppose -n + h = 6. Find the common denominator of 68/3 and (-2)/n + 1160/(-48). 6 Find the common denominator of -31/32 and (-70)/(-315) + (3470/(-792) - -2). 352 Suppose s = -4*s + 175. Suppose -3*f = 3*z - 51, -5*z = -5*f + s + 60. Let g = 9 - -21. What is the least common multiple of f and g? 90 Let g = -11117/1505 + -4/301. Calculate the common denominator of g and -22/7. 35 Let w = -42 - -41. What is the least common multiple of 44 and ((-15)/(-4) + w)*(15 - -1)? 44 Let g = 1930961/90 + -21454. What is the common denominator of g and -133/30? 90 Calculate the lowest common multiple of 88 and 4 - 0 - 136
{ "pile_set_name": "DM Mathematics" }
0/(-9))/10). Solve 3*i + 3 = -3*m, -2*m = -i - 4 + o for m. -1 Suppose -5*n + 3*l = -13, 5 = 29*l - 34*l. Solve 6*f + 12 = 4*j + n*f, -5*j + 3*f = -17 for j. 4 Let s(l) = l**2 + 6*l - 1. Let u be s(-6). Let r be -3 + (3/u - -9). Let z = 141 + -139. Solve -o - 1 = z*i, -r*i + 7 = 3*o - 2*i for o. 3 Let b(w) = -13*w - 3. Let g be b(-5). Let t = 66 - g. Solve 0 = -t*m - h - 18, -21 = 3*m - 7*h + 4*h for m. -5 Suppose -49*a + 9*a + 40 = 0. Let u(b) = -b**2 + 8*b - 5. Let t be u(7). Solve 5*x = -2*y - 23, x + t*y + 2*y + a = 0 for x. -5 Suppose 2*a = 3*m + 4, a = -15*m + 17*m + 2. Solve -3*x + 2 = -7*x - f, -a*x - 4*f = -6 for x. -1 Let b(s) = s**2 - 9*s + 19. Let i be b(7). Solve g + g + i*x - 23 = 0, 19 = g + 4*x for g. -1 Suppose 18*l - 14*l = h + 15, 4*l - 6 = -2*h. Solve -6 = -m + l*m, -x - 5*m = 13 for x. 2 Let r = 18 - 8. Suppose 2*l - i - 50 = -2*i, -4*l + 98 = 3*i. Let q = -22 + l. Solve -4*p = 3*k + r, q*k - 2*p = -6*p - 8 for k. 2 Let f be 2*(-15)/(-9) - (-2)/3. Solve -x - f*i + 6 = -0, i = 2 for x. -2 Suppose 0 = 3*k - j - 4, -j + 4 + 13 = 4*k. Solve -2*y + 4 = 0, -3*a - 3*y - k = -21 for a. 4 Suppose a - 18 + 23 = 5*v, -4*a = 4*v - 4. Solve 6*l - 8*l - 6 = 3*n, a = -5*l for n. -2 Let g(q) = q**3 + q**2 - q - 34. Let w be g(0). Let m = w + 37. Solve -10 = 5*v - 5*u, v + m*u = -u + 8 for v. 0 Suppose -97*v - 10 = -102*v. Suppose -4*x = x. Let c be x/(v*(-4)/(-8)). Solve c = -2*u + i - 3, u - 2*i + 2 - 5 = 0 for u. -3 Let b(m) = -19*m**2 + 3*m + 2. Let o be b(2). Let y = -68 - o. Suppose -v - 12 = -4*v. Solve 0 = v*q + 4*c + 12, y = -0*q - 5*q - 3*c - 11 for q. -1 Let g = 79 - 42. Let m = 41 - g. Solve -l + m*o + 4 = 0, 5*l - l + 2*o - 16 = 0 for l. 4 Let s be (-442)/(-104) + 3/4. Solve f + s*q = -19, -3*f + q - 9 = -0 for f. -4 Suppose 6 - 32 = -13*x. Solve -4 = -2*h - 3*m, -2*m + 3 = -h + x*h for h. -1 Let f be 4 - ((-2)/(-2) - 0). Suppose 16 = -0*i - 3*i + 4*c, -4*i = -c + 4. Suppose i = -3*n + 63 - 21. Solve 5*w = -3*s - 19, f*s - 5*w = 17 + n for s. 2 Suppose -92 = -18*r - 5*r. Solve 3*o - 5*l = r*o + 2, 3*o + 6 = -3*l for o. -2 Let x(c) = 11*c**3 - c**2 - 2*c + 3. Let f be x(1). Let q be -2 + 1 + 2 + 1. Solve 0*h - 3*b - f = 2*h, -q*h - 4 = -4*b for h. -4 Let h(o) be the second derivative of -o**4/12 - o**3/3 + o**2/2 - 20*o. Let d be h(-2). Solve -5*n - 3*t = -3*n + d, 0 = -3*n + 5*t + 8 for n. 1 Let m be (-45)/(-25) + 2 + 2/10. Solve -2*h - m*n = h - 18, 4*h + 5*n - 23 = 0 for h. 2 Let t be ((-27)/(-63))/(30/350). Solve 4 = t*i + b - 2, -3*i + 26 = -5*b for i. 2 Let y = -28 - -14. Let t = -8 - y. Suppose t*n - 2*n - 8 = 0. Solve 0*k = -4*k + 3*i + 3, -k - n*i = 2 for k. 0 Suppose 0 = -10*s + 16*s - 1062. Let r = -172 + s. Solve -p - 4*h - 12 = 3*p, r*h - 5 = 0 for p. -4 Suppose -5*q + 1 = -14. Suppose 0 = -z + 2*z - q, 2*z = -4*f + 38. Suppose 5*m - 88 = -13. Solve -3*d + m = 0, -5*d + 5 + f = -3*s for s. 4 Let g be (-48)/(-5) + 17/5 + -4. Solve 2*q + 5*l = g, q + l = 5*q - 7 for q. 2 Suppose 87*m - 71*m = 320. Solve -g + 5 = -d, -4*g + m = -2*d - d for d. 0 Let h = -11 - -70. Suppose -h = -2*b - 13. Solve -2*m = 4*n + m - b, n - 2 = 3*m for n. 5 Suppose 4*g - 58 = -5*c + 2*g, 0 = -g + 4. Let z be 15/c*24/9. Solve -5*i + 31 = -4*v, -2*i + 17 = -z*v - 5 for v. -4 Suppose 11 = 5*i - 4. Let x be -1 + (1/(-2) - 56/(-16)). Let w be 0 + x - i/(-1). Solve w*c + 4 = 4*q - 5*q, 0 = -2*q + 5*c - 8 for q. -4 Let a(t) = -t**3 + 11*t**2 - 21*t - 12. Let q be a(8). Solve -5*d - 2 = -o + 2, -q = -4*d - 3*o for d. 0 Let w(t) = t**2 - 2*t + 1. Let o = -8 + 11. Let l be w(o). Solve 5*b + 17 = a - 0*a, -l*b = a + 19 for a. -3 Let m = 27 - 27. Suppose -u - 4*z = 8, m*u - 3*u + 2*z = -4. Solve 3*l + 1 + 8 = u, -3*h - 4*l - 12 = 0 for h. 0 Let x(q) = -6*q - 19. Let o be x(-4). Suppose 0*f - f + 9 = 0. Let s be 2*f/6*1. Solve o*r = -5, 5*i + 3 = s*r + 1 for i. -1 Suppose 0 = 4*w + 4*o - 10 - 6, o = 3*w - 12. Solve 2*v + v = s + 3, w*v - 4*s - 12 = 0 for v. 0 Let d(l) = -l. Let t be d(-3). Let r be (0 - -2) + (t - 3). Solve 21 = 5*k - 3*i, r*k - 3*i = -i + 10 for k. 3 Suppose 17*w = 36 + 32. Solve -1 - 9 = d + w*s, -s - 2 = 0 for d. -2 Suppose 2*d - 5*d + 3*r + 15 = 0, 3*r + 15 = -3*d. Let u(f) = f. Let m be u(d). Solve 0 = -x - 2, -b + m + 2 = -2*x for b. -2 Suppose 0 - 20 = -5*x. Suppose -k = -5*r - x*k + 13, -k = 4*r - 16. Let b = r - 3. Solve 3*u + 5*l = -0*l + 27, 2*u + b*l = 14 for u. 4 Let p = -5 - -5. Suppose p*m + 3*m = 66. Solve g - 3*q + m = 3*g, -g + 1 = -q for g. 5 Suppose -5*h - 20 = -5*b, 5*h - 4 = -3*b - 16. Let a be 1 + -2 - (-1)/b. Solve 5 = -a*o - 2*o + w, -o + 4*w = 20 for o. 0 Let a be 63/30 + 9/(-360)*4. Solve m - 25 = -a*r - 2*r, 0 = -2*r + 3*m - 5 for r. 5 Let h(w) = 6*w**2 + 14*w + 5. Let p be h(-3). Suppose -p*f + 14*f = 0. Solve -3*t = 15, f = -o - 3*t - 0*t - 17 for o. -2 Let p = -5 + 115. Let z = -108 + p. Solve k = -5*c - 14, 5*k + 4*c + 5 = -z for k. 1 Let d(r) = r**2 - 2*r - 33. Let n be d(-5). Solve i = 4*a - 3, -3*i + 4*a = n*i - 17 for i. 5 Let c(p) = -p**3 - 8*p**2 - 10*p - 7. Let z be 6/(-15) - 132/20. Let v be c(z). Solve -3*r + 4 = -5*r, 5*i + v = 3*r for i. -4 Let v = 11 + -8. Suppose -v*q - 2*y = 1, -q + 5*y + 13 = -15. Suppose -3*m + 15 = q*p, -16 = -2*p - 3*p - 2*m. Solve 10 = -p*n + 2*k, k + 3*k - 17 = n for n. -1 Let v(i) = i**3 + i**2 - 2*i. Let d be v(-2). Suppose d = 2*o + 2*o. Let c(f) = -f + 4. Let w be c(o). Solve -q - 27 = 7*z - 2*z, 2*z = 3*q - w for q. -2 Let d = 345 + -343. Solve 4*m = 3*j + 11, 0 = 3*j + j + d*m for j. -1 Let q(k) = 3*k**2 - 8*k + 7. Let s be q(1). Solve 5*z = -3*a, -8 = s*a + 2 for z. 3 Let x(d) = -d**2 - 14*d + 33. Let n be x(-16). Suppose 0 = 7*q - n - 6. Solve -3*f = -5*m + q, -5*m - 9 + 4 = -5*f for m. 2 Let o = -58 - -46. Let s be -1*(o - (-3 + -1)). Solve -2*a = 5*q - 35, -s*q + 10 = -3*a - 3*q for a. 5 Let i = 13 - 7. Let x be -2*(-3)/i - -1. Solve -w + 16 = -5*c, 4*c - x*w + w = -12 for c. -4 Let q be (2/6)/((-2)/6). Let m be (-5 - 14)*q/(-1). Let y = 25 + m. Solve 4*v + n - 1 = y, 4*n + 5 = -5*v for v. 3 Suppose -19*k = -16*k + 9. Let y be (9/15)/(k/(0 - 15)). Solve 3*u + d = 4, 4*d = y*d + 1 for u. 1 Suppose 0 = -671*f + 666*f. Solve x + 4*b = -17, f = -10*x + 5*x + 3*b + 30 for x. 3 Let y be ((-8)/24)/(1/3). Let q be (-2 + y/3)/((-11)/33). Let o = -11 - -31. Solve 0 = 5*p - 2*z - q - o, 4 = p + z for p. 5 Let c(h) = h**3 + 7*h**2 - 8*h - 6. Let u be c(-7). Suppose 6*w + 4*w - u = 0. Solve 3*q - 8 = w*i + q, 2*i + 5 = -q for i. -2 Let c = -66 + 68. Let t be 13/(-4) + 2/8. Let q be 6 - (c + (-3 - t)). Solve 0 = 2*g - 4*z + q, 4*z + 11 = -4*g + 3 for g. -2 Suppose -19 + 4 = -5*r. Solve -3*x + 1 = -3*c - 11, x + r*c = -16 for x. -1 Let o be (-315)/(-20) - (95/20 - 4). Solve -f = 2*f - 3*h + o, 2 = 5*f + 4*h for f. -2 Let i be (-133)/(-28) + (-5)/(-20). Solve 0 = -i*j - 3*g + 11, -3*j - 3 = 5*g for j. 4 Let d(m) = -m + 5. Let u be d(-10). Solve -s - u = 4*i, 3*i + 20 = i + 2*s for i. -5 Suppose -15*z + 31*z - 336 = 0. Solve -4*w + 5*h - 10 = 0, -3*h - z = 5*w - 5*h for w. -5 Suppose -55*z + 60*z - 20 = 0. Solve 4*p = 2*w + w - 4, w - z = 4*p for p. -1 Suppose 0 = -57*k + 531 + 153. Solve 4*m = -4*n - 28, -2*m - 4 = 3*n + k for n. -2 Let u(w) = 3*w**2 - 5*w - 22. Let g(t) = 5*t**2 - 11*t - 43. Let s(n) = -4*g(n) + 7*u(n). Let a be s(-7). Solve -a*l + 8 = -0*l + 2*x, 0 = -3*l - 3*x for l. 4 Suppose 0 = -16*s + 23*s - 14. Solve -5*n + s + 3 = -3*i, 0 = 2*n - 4*i + 12 for n. 4 Suppose 2*i - 10 = 2*v + v, 4*v - 10 = -2*i. Solve k - i*r + 9 = 0, 2*r = 3*r - 2 for k. 1 Let q = -1605 + 1607. Solve -q*p + 11 = 6*z - 3*z, -5*z = 5*p - 20 for p. 1 Let s = 83 + -81. Solve -10 = -2*t + 6*u - 10*u, -2*t + s*u = -4 for t. 3 Let h(c) = 15*c**2 - c - 1. Let j be h(-1). Suppose -j = -5*b, -4*b - 15 = 5*n - 57. Suppose -n*p = -p - 25. Solve 2*i + p*o + 11 = 3*i, -5*o - 13 = -3*i for i. 1 Let x(m) = m**3 - 21*m**2 + 20*m + 5. Let k be x(20). Solve 3*y = -5*c - 2*y + 10, c - 2 = k*y for c. 2 Let q be ((-6)/(-10) - (-1)/(-10))*-12. Let k be q + 6 - (0 + -3). Solve -3*u = -d - d + 20, 0 = -k*d - 5*u - 8 for d. 4 Let m be (-3 + 25 - -6) + 2. Suppose 0*t = -5*t + 20. Solve -t*u - m = -2*s, 5 = -4*s - 5*u - 0*u for s. 5 Suppose t - g - 31 = -2*g, -5*t = -3*g - 115. Let r be t/(-39) + 22/6. Solve
{ "pile_set_name": "DM Mathematics" }
4 - 12, -3*o - 2*a = -20. Calculate the remainder when 2/o - 524/(-16) is divided by c. 7 Let v(m) = -m + 1. Suppose 7 = 2*f + 11. Let b(q) = 2*q**2 - q + 3. Let c(o) = f*v(o) + b(o). What is the remainder when c(-3) is divided by 9? 7 Let q = 79 + -37. Suppose q*g = 35*g + 140. Let i = -273 + 392. What is the remainder when i is divided by g? 19 Let p = 103 + -97. Calculate the remainder when 162 is divided by (-4)/p*(-1170)/52. 12 Suppose -5*q = -2*l + 21, l + 3*q - 4*q - 3 = 0. Let n be (18/(-5))/(l + 48/25). Let j = -18 + n. Calculate the remainder when j is divided by 8. 3 Let a = -2 + 21. Suppose -2*x + 5*p - 49 = -100, 0 = -5*x - 4*p + 177. Calculate the remainder when x is divided by a. 14 Suppose 10*o - 183 + 103 = 0. Calculate the remainder when 427 is divided by o. 3 Let b(v) = 12*v - 46. Let g be b(-14). Let x = -169 - g. Calculate the remainder when x is divided by 12. 9 Suppose -5*q + 8205 = 5*z, 34*z = 30*z + 2*q + 6540. What is the remainder when z is divided by 6? 5 Let m(u) = u**3 - 7*u**2 + u - 6. Let g be m(7). Suppose g - 11 = -r. Calculate the remainder when 119 is divided by r. 9 Let j(l) = -l**2 + 5*l + 2. Suppose 2*y + 16 = -3*u, 0 = -3*y + y + 8. Let i be (-28)/u*(-8)/(-7). What is the remainder when 10 is divided by j(i)? 4 Let t be (112/(-20))/((-24)/(-15) - 2). Suppose -11 + 67 = c. What is the remainder when c is divided by 4/t + 103/7? 11 Suppose a = 3*a - 24. Let m(b) = -13*b - 100. Let p be m(-8). Suppose -16 = -p*f - 0. What is the remainder when a is divided by f? 0 Suppose -2*t + t = -4. Let s = -116 + 132. Suppose -3*p - 17 = -3*w + s, 0 = 3*p - 9. Calculate the remainder when w is divided by t. 2 Let b(k) = 2*k**3 - 12*k**2 - 14*k - 6. Let f be b(7). Let y(o) = -57*o - 312. What is the remainder when 132 is divided by y(f)? 12 Suppose -813*j = -404*j - 402*j - 1995. Calculate the remainder when j is divided by 16. 13 Let g = -504 + 928. Let j = g - 245. What is the remainder when j is divided by 45? 44 Suppose -v + 3*v = 24. Let p = 9 + v. Let q(k) = k**3 + 18*k**2 - 23*k + 5. Calculate the remainder when q(-19) is divided by p. 18 Suppose 9*d + 10 = 73. Suppose -1289 = -d*r - 463. What is the remainder when r is divided by (-212)/(-7) - 6/21? 28 Let k(a) = -a**3 - 11*a**2 - 10*a - 16. Let m be k(-11). Let y = m + -36. Let q = 7 + 13. Calculate the remainder when y is divided by q. 18 Let b be 171/27 + -7 - 104/6. Let u(p) = -p**2 - 23*p - 74. Suppose 2*g - 7*g + 385 = 0. Calculate the remainder when g is divided by u(b). 13 Suppose -84*r - 2*p = -82*r - 2210, 0 = -r - 3*p + 1099. Calculate the remainder when r is divided by 8. 4 Let s = 2262 + -1338. Suppose -12*c + s = 10*c. What is the remainder when 292 is divided by c? 40 Suppose -4*q - 5*m + 25 = 0, -m - 7 = 3*q - 12. Suppose q = 15*r - 14*r - 238. What is the remainder when r is divided by 60? 58 Let g be (3/(-9) + 1)*3/2. Let f(l) = 26*l**2 + l - 1. Let n be f(g). Suppose d - n = 9. What is the remainder when d is divided by 9? 8 Let l be (-2)/(-6) + 64/24. Suppose -2*t - 1 = -l. Calculate the remainder when 9 is divided by t - -3 - (9 + -8). 0 Let h = -4071 - -4075. What is the remainder when 1221 is divided by h? 1 Let f(b) = b**3 + 3*b**2 + 2*b + 22. Let j be f(-6). Let t = -90 - j. What is the remainder when 139 is divided by 286/t - (-1)/4? 31 Let i(u) = -12*u + 25. Let w be i(4). Let v = w - -33. Calculate the remainder when v is divided by 4. 2 Suppose 2971 = 11*r - 3178. Calculate the remainder when r is divided by 45. 19 Let o = 29 - -34. Let i = o + 20. What is the remainder when i is divided by (-4)/(-3)*(43/4 - -2)? 15 Suppose 36*j - 921 = 265 + 2630. Calculate the remainder when 388 is divided by j. 70 Suppose c = 5*u - 1384, -2*u - 183*c + 182*c + 562 = 0. Calculate the remainder when u is divided by 47. 43 Let p(f) = 4*f**2 + 3*f + 4. Let y(u) = u**3 - 4*u**2 + 8. Suppose 72 = 68*i - 50*i. Calculate the remainder when p(-3) is divided by y(i). 7 Suppose -15*l - 478 + 3523 = 0. Let q = 217 - l. Calculate the remainder when 55 is divided by q. 13 Let b = 10 + -8. Suppose -4*s = 2*w - 12, -3 = -b*s - 7. Suppose 54 = 8*m - w. Calculate the remainder when 71 is divided by m. 7 Let a(r) = -r**2 + 13*r + 12. Let l = 3 - -8. Let j be a(l). Suppose 0 = 4*y - 2*u - j - 178, 2*u = -3*y + 166. Calculate the remainder when y is divided by 14. 12 Suppose 0 = -u - 916 - 446. What is the remainder when u/(-14) + 2/(-7) is divided by (1647/117 + -14)/(90/31590)? 16 Suppose 34*c - 397 = -x + 35*c, -3*x - 2*c = -1201. Calculate the remainder when x is divided by 10. 9 Let r(l) = -3*l. Let x be r(0). Suppose 0 = 6*k - 94 - 92. Suppose -14 = -g - b, x = -2*g + b - 2*b + k. Calculate the remainder when 29 is divided by g. 12 What is the remainder when 4/7*(1 - (8 + (-15015)/22)) is divided by 214? 172 Let q be (9/(-4) - -2) + (-261)/(-36). Suppose 3*y - q = 320. What is the remainder when y is divided by 23? 17 Suppose 0 = -i - 3*g - 64, -5*i - 296 = 2*g + g. Let o = -30 - i. Calculate the remainder when o is divided by (-2)/(30/(-9)) - (-216)/15. 13 Let b(j) = -4*j - 10. Let m(i) = 31*i. Let x be m(3). Let k = 162 - x. Calculate the remainder when k is divided by b(-5). 9 Suppose -8 = 840*n - 842*n. What is the remainder when (-38*1/n)/(3/(-18)) is divided by 3? 0 Let v(j) = j**2 + 13*j - 45. Let i be v(-16). Let m(g) = 7*g**2 - 2*g + i*g + g - 6 - 5*g. Calculate the remainder when 55 is divided by m(-2). 27 Suppose 0 = -3*i, 8*i = -2*o + 5*i + 64. Suppose 5*w = 3*w + o. Let u = -345 - -423. Calculate the remainder when u is divided by w. 14 Let c be ((-6)/4)/((-54)/6444). Suppose -3*m + 43 = -c. Let r(j) = -9*j - 105. What is the remainder when m is divided by r(-14)? 11 Suppose 25*t - 5*u - 23 = 22*t, 4*t = -3*u + 79. Suppose 3*q = -2*g - 0*g + 28, -q - 19 = -5*g. What is the remainder when 40/t*(q - 0) is divided by 4? 3 Let p = 176 - 176. Suppose p = -10*x + 3*x + 441. What is the remainder when x is divided by 11? 8 Let l = -39 + 79. Let c be 64/3*10*15/l. Suppose z + 53 = c. What is the remainder when z is divided by 14? 13 Suppose 5*c = -2*a + 6, -2*c + 31 = 6*a - 3*a. Suppose 0 = -3*q - f + 4*f - 12, -2*q - 8 = f. What is the remainder when a is divided by ((-30)/q)/1 + 57/114? 5 Suppose 104*f - 3777 = 52*f - 1281. What is the remainder when f is divided by 38? 10 Let s(b) = -6*b**2 - 50*b + 2. Calculate the remainder when 164 is divided by s(-7). 48 Let q be ((-168)/40 + 5)/((-1)/(-55)). Let c = -36 + q. What is the remainder when 22 is divided by c? 6 Suppose -3*m = -213 - 93. Let p(v) = 631*v - 2871. Calculate the remainder when p(6) is divided by m. 99 Suppose -6*v - 4*o + 492 = 0, 0 = 18*o - 14*o. What is the remainder when 92 is divided by v? 10 Let t(h) = 9*h**2 - 3*h - 8. Let m be t(7). Let n = m + -355. What is the remainder when n is divided by 25? 7 Suppose v + 178 = -1304. Let i be v/(-12) + 2/(-4). Let r = i - 85. Calculate the remainder when 75 is divided by r. 37 What is the remainder when (1/(-2))/(6 - (-105625)/(-17602)) is divided by 85? 82 Suppose 250*p - 13360 = -860. Calculate the remainder when 181 is divided by p. 31 Let g be (-2)/(-4)*(10 - 0). Suppose 87 = g*h - 2*h. Let r(x) = -x + 115. Calculate the remainder when r(0) is divided by h. 28 Let b(g) = -264*g - 54. What is the remainder when b(-2) is divided by 36? 6 Suppose -7 = -g + 9. Suppose 2*j - 4*r - 390 = r, -5*j - r + 948 = 0. Let n = -129 + j. Calculate the remainder when n is divided by g. 13 Let f be 39/(1/(-1)) - 2. Suppose 0 = -83*m + 67*m. Let q = m - f. What is the remainder when q is divided by 14? 13 Let i(g) = -485*g**2 + 0*g**3 + 9 + 13*g + 480*g**2 + g**3. Calculate the remainder when 84 is divided by i(3). 24 Suppose -5*f + 376 = 3*o - 112, -4*o + 662 = f. Calculate the remainder when 843 is divided by o. 13 Let d(y) = -65*y + 7. Let g(a) = 4*a**2 + 186*a + 148. What is the remainder when d(-5) is divided by g(-46)? 52 What is the remainder when ((-828)/(-21))/(261/6090) is divided by 115? 0 Suppose 4 = 2*f - 5*n - 12, 4*n - 24 = -3*f. What is the remainder when 2/7 + 444/14 is divided by f? 0 Let u = -19809 - -19930. What is the remainder when u is divided by 68? 53 Let v = 30 - 15. Let h(x) = 8*x - 11*x + 140 - 2 + x + 4*x. What is the remainde
{ "pile_set_name": "DM Mathematics" }
5 in descending order. 5, 3, -1, y Let s = -0.013 + -0.027. Put 1/2, s, 2/5 in increasing order. s, 2/5, 1/2 Let m = 1 - 2. Let q(l) = l**3 + 11*l**2 - 13*l - 11. Let u be q(-12). Put 5, u, m in increasing order. m, u, 5 Let n = 0.06 - 3.06. Sort n, -3/4, 1/4. n, -3/4, 1/4 Let p = 7 + -6.6. Let o = p - 0.3. Sort o, 3/2, 3. o, 3/2, 3 Let l(k) be the third derivative of k**6/120 + k**5/15 - 5*k**4/24 + 5*k**3/6 + 2*k**2. Let y be l(-5). Put -2, 3, y in decreasing order. y, 3, -2 Suppose 0 = 4*x - 5 + 13. Sort x, 2, 1. x, 1, 2 Let b = 11 - 8. Let n = 0.13 + 0.43. Let z = n - 0.06. Sort 0, z, b in ascending order. 0, z, b Let b = 33 - 37. Sort b, 4, 1/3 in decreasing order. 4, 1/3, b Let h be (1 + 4)*(-2)/(-3 + 1). Put -1, 0, -2, h in decreasing order. h, 0, -1, -2 Let r be (-1)/(-2)*15/(-20). Put -1, r, -2/15 in descending order. -2/15, r, -1 Let v be (-2 + (-12)/(2 - 6))/(-1). Sort 8, v, 3. v, 3, 8 Suppose -d - 2 = d. Let y be -2*2*(-1)/4. Suppose n = -f + 2, 0 = 3*n + f + y - 5. Sort d, 4, n in decreasing order. 4, n, d Suppose 16 = -4*w + 12. Sort -5, -4, w. -5, -4, w Suppose 3 = -2*b + 1. Sort b, -2, 3. -2, b, 3 Suppose 0 = 2*z + z + 12. Let g(x) = -x**3 - 8*x**2 - 7*x - 3. Suppose 0 = w - 2*w - 7. Let h be g(w). Sort z, h, 2. z, h, 2 Let u = 0 + 0.06. Let t = -1.94 - u. Let w = -3 + t. Put w, 0, 5 in descending order. 5, 0, w Let s = -5.6 - -2.6. Let w be 10/55 - (-3642)/55. Let d = w + -66. Sort 1/2, s, d in ascending order. s, d, 1/2 Let i = -60 + 55. Let r = 0.03 + 2.97. Sort r, i, 4/3 in ascending order. i, 4/3, r Let m = -0.03 + -0.03. Let p be (-44 - -41) + (-16)/(-6). Sort p, 5, m in descending order. 5, m, p Let z(l) = 3*l - 78. Let k be z(27). Put -4, 1, k, -1 in increasing order. -4, -1, 1, k Suppose 0 = 5*c - 4*y - 25, c + 4*c - y = 25. Sort -1, -5, 0, c in decreasing order. c, 0, -1, -5 Suppose -4*v + 0*v = 0. Let f(g) = -g + 2. Suppose -b = 4*b - w + 4, -5*b = 4*w - 16. Let y be f(b). Sort v, -1, y in descending order. y, v, -1 Suppose -2*j - j - 45 = 0. Let g be (24/j)/(4/(-10)). Suppose -4*l - 14 = 2*s, -5*s + 8 = -3*l - 4*s. Sort 2, g, l. l, 2, g Let o = 2/11 - 25/77. Suppose 0 = 23*p - 18*p + 20. Sort p, 4, o in ascending order. p, o, 4 Let v = -26 - -49/2. Let t be ((-5)/(-20))/(2/2). Put v, 0.2, t in increasing order. v, 0.2, t Suppose -8*x = -4*x - 20. Suppose 0 = -5*y - 2*i - 23, 9 + 13 = -5*y - 3*i. Sort y, 3, x in ascending order. y, 3, x Let j be 3/(-9)*0*2/(-4). Suppose 4 = -4*f + 24. Sort f, j, 3 in ascending order. j, 3, f Let w(h) = h**3 + 8*h**2 + 8*h + 11. Let k be w(-7). Sort 5, -2, k. -2, k, 5 Let s = -1 - -1. Suppose -3*t + 5*v - 2 + 6 = s, -5*t + 20 = 5*v. Suppose 0 = -2*k + 3*h - 4, -5*k + 4 = h - 20. Sort t, 2, k in descending order. k, t, 2 Let q be 2/3*(-3)/7. Let a = 4437/2 - 12443/6. Let w = a - 146. Put 0.2, q, w in decreasing order. 0.2, q, w Let s = -13.22 - -0.22. Let b = -14 - s. Sort b, -0.1, -7. -7, b, -0.1 Let v be (-2)/7 + (-5)/7. Let d be (-75)/20 - 1/4. Sort 3, v, d in decreasing order. 3, v, d Let j = -15 + 25. Suppose 0 = -12*a + j*a. Put 5, 1, a in increasing order. a, 1, 5 Suppose 9*b - 6*b - 3 = 0. Sort 5, -4, b, 4 in ascending order. -4, b, 4, 5 Let n = 0.17 - -0.73. Let p = -0.1 - n. Put -3, p, -1/2 in descending order. -1/2, p, -3 Let b be 1 + ((-18)/7)/2. Let x be (-375)/2002 + (-4)/(-22). Let s = x + 29/182. Sort b, s, -1/5 in ascending order. b, -1/5, s Let n = 37 - 39. Sort 4, -1, n. n, -1, 4 Let c be (64/(-40))/(4 - 2). Sort -0.1, c, -3. -3, c, -0.1 Let j = -41/77 + 9/11. Let d = -2.8 + 3. Put d, -2, j in increasing order. -2, d, j Let v(x) = x**3 + 4*x**2 - 6*x - 6. Let g be v(-5). Let o be 1 + -3 + (-3 - -8). Sort o, g, -5 in decreasing order. o, g, -5 Let l = -5 - -5.2. Let g = -0.4 + 0.4. Let u = -0.5 + g. Put l, -3, u in decreasing order. l, u, -3 Let s = -7.275 + -0.025. Let r = s + 0.3. Sort 1, -5, r in descending order. 1, -5, r Suppose 3*a + 16 - 10 = 0. Let q be (8/a)/12*-3. Put 2, -0.5, q in decreasing order. 2, q, -0.5 Let s = 16 - 17. Let b = s + 2. Sort 4, -1, b in descending order. 4, b, -1 Suppose 49 - 1 = 12*c. Sort -11, c, -1, 1 in descending order. c, 1, -1, -11 Let s be (-4)/(-14) - (-102)/(-14). Let f(n) = n**3 - 11*n**2 + 27*n + 12. Let y be f(7). Sort y, 2, s in descending order. y, 2, s Let c be (-10)/1 + 3 + 2. Put 8, c, 1 in ascending order. c, 1, 8 Let f = 1/2 + -2. Let m(k) = 2 - 4 + k**3 - 2 + 4*k**2 - 5*k. Let v be m(-5). Sort f, v, 1/9 in decreasing order. 1/9, f, v Let p = -6.97 - 0.03. Let w = 6.7 + p. Sort w, 0.5, -1/4 in increasing order. w, -1/4, 0.5 Let j be (-4)/1 + (-648)/(-156). Sort -6, -2, j, 2/3 in increasing order. -6, -2, j, 2/3 Let l = -39 + 277/7. Let f = -4 + -1. Let y = -44 - -46. Sort f, y, l in descending order. y, l, f Let a = -18 + 16. Let h(x) = x**3 - 2*x**2 - 3*x - 3. Let q be h(3). Let z = q - a. Put 2, z, -2 in ascending order. -2, z, 2 Let o = 7 - 4. Suppose x = 2*j - 10, -j + x = o*j - 18. Put 2, -1, j in descending order. j, 2, -1 Let l = 0.01 - -0.29. Let n be ((-11 - -12)/(4/6))/3. Sort n, -3, l in increasing order. -3, l, n Suppose -2*p - 7 = -3. Put p, 4, -4 in ascending order. -4, p, 4 Let s be 102/(-30) + 6/15. Put s, 0, -1 in decreasing order. 0, -1, s Let j = 1 + 1. Let h be 215/45 + 4/18. Suppose -h*x + 11 = -4. Sort j, 1, x in decreasing order. x, j, 1 Let q = -0.07 + 9.07. Let a = q + -13. Put 0, -0.2, a in increasing order. a, -0.2, 0 Suppose 5*x = 3*x - 10. Let s(l) be the second derivative of -l**3/6 + l**2/2 + 3*l. Let r be s(4). Put r, 2, x in decreasing order. 2, r, x Let h = -5 - -5. Suppose -5*i + 5*b = 5, -4*i - 4*b - 19 - 9 = h. Put 3, -5, i in decreasing order. 3, i, -5 Let x(p) = -p**3 + 5*p**2 - 2*p - 5. Let r be x(4). Sort 1, r, 4 in increasing order. 1, r, 4 Let v = -0.4 + 0.7. Let k = 1.02 + -1.42. Put v, -4, k in increasing order. -4, k, v Let r = -8 + 12. Suppose 12 = -4*d - 8. Let s be 1/r + d/52. Put 0, -0.4, s in decreasing order. s, 0, -0.4 Suppose 2*w + 6 = 5*u, 3*w - 5*w = 2*u - 8. Suppose 2*t = -6, -5*q - 2*t + u = -2. Put 4, q, -2 in descending order. 4, q, -2 Let r = 16.3 + -16. Sort r, 5, -3/4. -3/4, r, 5 Let k be (-3)/6 - 10/12. Let i = 4.141 - 0.141. Sort i, k, 0.4 in descending order. i, 0.4, k Let j = 2.1 - 0.6. Let o = -4.5 + j. Sort -5, -0.5, o in ascending order. -5, o, -0.5 Let i = -125 + 128. Sort -1, -2, i, 1/5 in ascending order. -2, -1, 1/5, i Let r = -19 - -18. Put r, 2, -4 in ascending order. -4, r, 2 Let c(m) = 3*m + 13. Let a be c(-6). Sort 4, a, 1 in ascending order. a, 1, 4 Suppose 15 = -3*v, -3*v - 15 = 5*a - 0. Suppose 2*z + 10 = -6. Let y(w) = -w**2 - 8*w - 5. Let h be y(z). Sort a, -2, h in increasing order. h, -2, a Let i = -105 + 106. Suppose 4*u + u + 5 = 5*a, 0 = 2*a + 3*u - 12. Sort a, i, 5. i, a, 5 Let v(u) = -u**3 + 4*u**2 + u - 4. Let l be v(4). Let z be 25/10*(1 + 3). Suppose -w = w + z. Put -1, l, w in decreasing order. l, -1, w Suppose -1 = c - 2. Let o = 11 - 8. Suppose -14 = -2*i + 4*n, 4*n + 29 = -o*i - 0. Sort c, 4, i. i, c, 4 Let h be 3/((-27)/3)*3. Let q be (15/(-10))/(h - 2). Put -3, -1, q in ascending order. -3, -1, q Let i = 556/2421 - 2/269. Put i, -1/4, -0.05 in descending order. i, -0.05, -1/4 Let m = 2.9 + 0.1. Suppose u - 3 = 0, 5*z - 2*u - 179 = -5. Let j be 10/5 + z/(-19). Sort 4, m, j. j, m, 4 Let a be 24/84*14/(-2). Suppose -2*s + 14 = 4. Sort a, s, -4. -4, a, s Let y = -7.1 + 3.1. Put -5, 4, y in ascending order. -5, y, 4 Let s(x) = -x**3 - 3*x**2 + 3*x - 1. Let o be s(-4). Suppose o = 3*j - v - 1, -5*v = 3*j + 2. Sort 2, -4, j. -4, j, 2 Let t = 7 + -1. Let f = t + -6. Let w(v) = v**2 + 7*v + 3. Let y be w(-6). Put f, y, 2 in increasing order. y, f, 2 Suppose 6*t + 10 = 4*t. Let k = -5 + 9. Let c be ((-2)/6)/(-1)*9. Put k, t, c in descending order. k, c, t Let s be -3 - -1 - (-1116)/10. Let c = 109 - s. Let t be (-3)/5 - 2/5. Put t, c, -4/9 in ascending order. t, c, -4/9 Suppose -5*f - 7 = -32. Let l(z) = z**3 - 6*z**2 + 7*z - 5. Let w be l(f). Let g = -0.3 - 3.7. Sort g, w, 0 in decreasing order. w, 0, g Let r = 8131/20 - 2324/5. Let o = 58 + r. Sort o, 0.4, -1. -1, o, 0.4 Let f = -7 + 3. Let l be -5*3/(1 + f). Sort -2, l, -1/3 in increasing order. -2, -1/3, l Let f = 3.76 - -0.24. Let j = 1/23 - -21/46. Sort f, j, 1/4. 1/
{ "pile_set_name": "DM Mathematics" }
s the units digit of 586124? 4 What is the hundreds digit of 1197091? 0 What is the thousands digit of 1540? 1 What is the hundreds digit of 159519? 5 What is the millions digit of 3922831? 3 What is the units digit of 1329146? 6 What is the hundreds digit of 1083653? 6 What is the thousands digit of 168883? 8 What is the hundreds digit of 3248388? 3 What is the hundreds digit of 16352? 3 What is the tens digit of 1452738? 3 What is the millions digit of 31354589? 1 What is the thousands digit of 4157772? 7 What is the hundreds digit of 1220010? 0 What is the units digit of 74939? 9 What is the hundreds digit of 984654? 6 What is the tens digit of 342248? 4 What is the thousands digit of 71078? 1 What is the hundred thousands digit of 4448223? 4 What is the ten thousands digit of 581440? 8 What is the hundred thousands digit of 389406? 3 What is the tens digit of 1306087? 8 What is the thousands digit of 150374? 0 What is the hundred thousands digit of 8265796? 2 What is the tens digit of 3876667? 6 What is the hundreds digit of 6940687? 6 What is the ten thousands digit of 22322062? 2 What is the hundred thousands digit of 2971930? 9 What is the tens digit of 450677? 7 What is the tens digit of 328502? 0 What is the ten thousands digit of 621687? 2 What is the units digit of 20426? 6 What is the units digit of 151187? 7 What is the hundred thousands digit of 1229956? 2 What is the hundreds digit of 2872058? 0 What is the units digit of 1489456? 6 What is the hundreds digit of 66161? 1 What is the ten thousands digit of 62231? 6 What is the tens digit of 1384612? 1 What is the ten thousands digit of 1035429? 3 What is the tens digit of 199729? 2 What is the hundred thousands digit of 612161? 6 What is the hundred thousands digit of 2107741? 1 What is the hundred thousands digit of 1986519? 9 What is the ten thousands digit of 98977? 9 What is the ten thousands digit of 7879329? 7 What is the hundreds digit of 21223674? 6 What is the hundred thousands digit of 2836555? 8 What is the millions digit of 1770407? 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8 What is the th
{ "pile_set_name": "DM Mathematics" }
, -65, -54? -41 What is the next term in 30, 56, 60, 30, -46, -180? -384 What is next in -139, -265, -381, -481, -559? -609 What is next in -3072, -3072, -3070, -3066? -3060 What is the next term in -9311, -9312, -9313, -9314, -9315? -9316 What is next in 235, 1840, 6203, 14704, 28723, 49640? 78835 What is next in 4, -5, -6, 13, 64, 159, 310? 529 What is the next term in 960, 1922, 2884? 3846 What is next in -5137, -10283, -15431, -20581, -25733, -30887, -36043? -41201 What comes next: -37, -73, -109? -145 What is the next term in 132, 277, 432, 603, 796, 1017? 1272 What comes next: 757, 763, 783, 823, 889? 987 What comes next: -764, -1518, -2262, -2990, -3696, -4374, -5018? -5622 What comes next: -47, 100, 345, 688, 1129, 1668, 2305? 3040 What is next in 4, 3, -2, -11? -24 What is next in 455, 912, 1369, 1826? 2283 What comes next: 25, 185, 611, 1435, 2789, 4805, 7615? 11351 What is the next term in 3347, 3356, 3379, 3422, 3491, 3592, 3731? 3914 What is next in -1294, -1296, -1298, -1300? -1302 What is the next term in 20593, 20599, 20617, 20653, 20713, 20803, 20929, 21097? 21313 What comes next: 48, 119, 196, 279? 368 What is the next term in 25, 10, -5, -20, -35? -50 What comes next: -284, -322, -360? -398 What is the next term in -75, -152, -229, -306, -383, -460? -537 What is the next term in -21, -34, -33, -18, 11? 54 What comes next: 12, 40, 60, 66, 52? 12 What comes next: 66, 175, 296, 435, 598, 791, 1020? 1291 What is next in -44, -101, -190, -305, -440, -589, -746, -905? -1060 What comes next: -24, -16, -4, 12, 32? 56 What is next in -21, -38, -69, -114? -173 What is next in -108, -166, -234, -318, -424, -558, -726, -934? -1188 What comes next: -4, -15, -38, -73, -120, -179, -250? -333 What is the next term in -9, -12, -19, -30, -45, -64? -87 What comes next: -1157, -4623, -10401, -18491? -28893 What is the next term in 20, 55, 116, 209, 340, 515, 740, 1021? 1364 What is the next term in 113, 188, 263? 338 What is next in -140, -180, -210, -224, -216, -180, -110? 0 What is next in -8, 0, 8? 16 What comes next: 167, 158, 135, 92, 23? -78 What is the next term in -211, -458, -715, -988, -1283, -1606, -1963? -2360 What is next in -7979, -7978, -7977, -7976, -7975, -7974? -7973 What comes next: -2, 13, 42, 85? 142 What is next in 934, 3739, 8414, 14959, 23374? 33659 What is next in 17, 30, 43, 56? 69 What is the next term in -79, -72, -63, -52, -39, -24, -7? 12 What is next in 80, 59, 38, 17? -4 What is next in 445, 447, 449? 451 What comes next: 112, 115, 118? 121 What is next in -197, -214, -231, -248, -265? -282 What is the next term in 146, 146, 150, 158, 170, 186, 206? 230 What is the next term in -348, -341, -334, -327, -320? -313 What is the next term in -49, -105, -161, -217, -273? -329 What is next in -23, -116, -277, -512, -827, -1228, -1721, -2312? -3007 What comes next: 23622, 23624, 23626, 23628, 23630, 23632? 23634 What is next in 79, 163, 247? 331 What comes next: -198, -208, -228, -258, -298, -348, -408? -478 What comes next: 336, 364, 440, 588, 832, 1196, 1704, 2380? 3248 What comes next: 5283, 10572, 15861? 21150 What is the next term in 215, 430, 651, 878, 1111? 1350 What is next in 55, 113, 183, 271, 383, 525? 703 What comes next: -16, -38, -64, -94, -128, -166? -208 What comes next: 44, 47, 50? 53 What is next in 496, 519, 542, 565, 588, 611? 634 What is next in 38, 168, 384, 686, 1074, 1548, 2108? 2754 What is next in 131, 107, 67, 11, -61? -149 What is the next term in -26, -47, -44, -5, 82? 229 What is the next term in -30, -123, -282, -507? -798 What comes next: -13, -20, -23, -22, -17, -8, 5? 22 What is next in -1913, -1912, -1911, -1910, -1909? -1908 What comes next: 1494, 2990, 4486, 5982, 7478? 8974 What comes next: 1190, 1187, 1182, 1175, 1166? 1155 What is next in -169, -336, -503, -670, -837? -1004 What is the next term in -74, -65, -42, 1, 70, 171, 310? 493 What comes next: -70, -133, -198, -265? -334 What is next in -35, -304, -1031, -2444, -4771? -8240 What comes next: -12, -13, -12, -9, -4, 3, 12? 23 What comes next: 110, 457, 1038, 1853? 2902 What is next in -37, -161, -369, -661? -1037 What is the next term in -5236, -10472, -15708? -20944 What is next in -2813, -2815, -2817, -2819, -2821? -2823 What comes next: 564, 567, 570, 573, 576, 579? 582 What comes next: 6979, 13959, 20939, 27919, 34899? 41879 What is next in 46, 69, 84, 91? 90 What is the next term in 37, 151, 341, 607, 949, 1367, 1861? 2431 What comes next: -2, 2, 18, 52, 110? 198 What is next in 52, -60, -246, -506? -840 What comes next: 18, 86, 200, 360? 566 What is the next term in -1552, -1550, -1548, -1546, -1544, -1542? -1540 What comes next: -22, -76, -228, -526, -1018? -1752 What is the next term in -80, -93, -106, -119, -132? -145 What comes next: -73, -134, -207, -298, -413, -558? -739 What is next in 2264, 9043, 20334, 36131, 56428, 81219, 110498? 144259 What is next in 508, 995, 1468, 1921, 2348, 2743, 3100? 3413 What comes next: 105, 103, 109, 129, 169? 235 What is the next term in 111, 193, 275, 357, 439, 521? 603 What is the next term in 71, 59, 43, 23, -1? -29 What comes next: -2978, -2976, -2972, -2966, -2958, -2948? -2936 What is next in 286, 584, 900, 1240, 1610? 2016 What is the next term in 428, 856, 1284, 1712? 2140 What comes next: 244, 295, 336, 361, 364, 339, 280? 181 What is next in -44, -42, -40? -38 What comes next: -5820, -5815, -5806, -5793? -5776 What is the next term in -430, -399, -310, -133, 162? 605 What is next in -108, -217, -326, -435, -544, -653? -762 What is the next term in 6, 7, 8, 9? 10 What is next in 4, 5, 4, 1, -4, -11? -20 What is the next term in -926, -1846, -2766, -3686, -4606? -5526 What comes next: -68, -109, -152, -197, -244, -293? -344 What is next in 21, 25, 21, 3, -35, -99, -195? -329 What is next in 60, 73, 74, 57, 16, -55? -162 What is the next term in -49, -94, -139, -184? -229 What comes next: 328, 328, 330, 334, 340, 348, 358? 370 What comes next: 17, 61, 137, 245? 385 What is next in -17294, -17293, -17292, -17291? -17290 What is next in 11, 38, 85, 152, 239, 346, 473? 620 What is next in 6, 10, 16, 24, 34? 46 What comes next: 4, 11, 20, 25, 20, -1? -44 What is the next term in -296, -343, -474, -731, -1156, -1791, -2678? -3859 What comes next: -206, -195, -160, -89, 30, 209? 460 What is the next term in -94, -170, -230, -274, -302? -314 What is next in -8, -125, -446, -1073, -2108, -3653, -5810? -8681 What comes next: 99, 209, 319? 429 What is next in -2578, -5159, -7740? -10321 What is next in -541, -539, -537, -535? -533 What is the next term in -247, -233, -219? -205 What is the next term in 635, 659, 683, 707? 731 What is next in 8, 9, 10, 11? 12 What comes next: 83, 87, 91, 95, 99? 103 What is next in -64, -88, -126, -184, -268, -384, -538? -736 What comes next: -86, -328, -732, -1298, -2026? -2916 What comes next: 672, 1346, 2020, 2694, 3368, 4042? 4716 What is the next term in 82, 158, 232, 304? 374 What is the next term in 20, 22, 18, 2, -32, -90, -178, -302? -468 What is the next term in 58, 108, 148, 184, 222, 268, 328? 408 What comes next: 16, 28, 40, 52, 64? 76 What is the next term in -11, -13, -9, 1? 17 What is the next term in -35, -64, -89, -110, -127, -140? -149 What is the next term in -12127, -24255, -36385, -48517, -60651? -72787 What comes next: 60, 309, 980, 2283, 4428, 7625, 12084, 18015? 25628 What comes next: 478, 485, 496, 511, 530, 553, 580? 611 What comes next: 58, 115, 170, 223? 274 What comes next: -434, -428, -412, -380, -326, -244, -128, 28? 230 What is the next term in 3, -7, -35, -87, -169, -287, -447, -655? -917 What comes next: 45, 51, 61, 75, 93, 115? 141 What is next in 200, 199, 198, 197, 196, 195? 194 What comes next: 154, 156, 158? 160 What comes next: -17043, -17038, -17023, -16992, -16939, -16858, -16743, -16588? -16387 What is the next term in 56, 514, 1762, 4196, 8212, 14206, 22574, 33712? 48016 What is the next term in 111, 119, 127, 135, 143, 151? 159 What is the next term in -479, -495, -511, -527? -543 What is next in 23, 59, 107, 173, 263, 383, 539? 737 What is the next term in -42, -111, -224, -381? -582 What comes next: -85, -91, -97, -103, -109? -115 What comes next: 321, 327, 343, 375, 429, 511? 627 What comes next: -85,
{ "pile_set_name": "DM Mathematics" }
the terms in 1 + 22*w**2 - 14*w**2 - 2*w - 1. 8*w**2 - 2*w Collect the terms in -24*t**3 + 27*t**3 + 5*t**3. 8*t**3 Collect the terms in -98*o - 103*o + 6*o**2 + 201*o. 6*o**2 Collect the terms in 98*b - 51*b - 50*b. -3*b Collect the terms in -419 + 419 - 27*s. -27*s Collect the terms in 103*v**3 + 27*v**3 - 132*v**3. -2*v**3 Collect the terms in -t - 49 + 11*t + 0*t + 49. 10*t Collect the terms in 476*c**2 + 4*c - 433*c**2 - 4*c. 43*c**2 Collect the terms in 58*c**3 + 66*c**3 + 59*c**3 - 186*c**3. -3*c**3 Collect the terms in 3*c**3 - 4*c**3 - c**3. -2*c**3 Collect the terms in 4*k**2 - 331*k + 331*k + 0*k**2. 4*k**2 Collect the terms in -2 + 2 + 3568*s - 3563*s. 5*s Collect the terms in 59*b + 5*b**2 + 52*b - 111*b. 5*b**2 Collect the terms in 140 - 21*m**3 - 140. -21*m**3 Collect the terms in 24*j**2 - 172*j**2 - 110*j**2. -258*j**2 Collect the terms in 192233*k**3 - 192230*k**3 - 3*k + 3*k. 3*k**3 Collect the terms in 3*w - 2*w - 3 - 22. w - 25 Collect the terms in -6*q + 6*q**2 - 4*q**2 - 3*q**2. -q**2 - 6*q Collect the terms in -27*n - 2 + 2 - 36*n + 62*n. -n Collect the terms in -2 - 4 + 6 + 110*r**2. 110*r**2 Collect the terms in -148 + 148 - 3*c**3 + 2*c**3. -c**3 Collect the terms in 5*l + 1 - 5 - 9 + 3. 5*l - 10 Collect the terms in 0 - 2 + 2 + 1082*h**2 - 1079*h**2. 3*h**2 Collect the terms in 57*d**3 - 2 + 6 - 2 - 3. 57*d**3 - 1 Collect the terms in 565*l**2 - 281*l**2 - 284*l**2 + 8*l**3. 8*l**3 Collect the terms in 48500*x + 0*x**2 + 3*x**2 - 48500*x. 3*x**2 Collect the terms in 0*w**2 - 12*w**2 + 12*w**2 + 19*w**2. 19*w**2 Collect the terms in -6*u**3 - 4*u**3 + 277*u**3. 267*u**3 Collect the terms in 2 - 2 + 144*u**2. 144*u**2 Collect the terms in -23 + 13 - 15 + r - 9. r - 34 Collect the terms in 50*b + 56*b - 104*b. 2*b Collect the terms in -93 + 44 - 14*a + 46. -14*a - 3 Collect the terms in -9*u**3 - 15*u**3 - u**2 + u**2. -24*u**3 Collect the terms in -14*h**3 + 5*h**3 + 4*h**3 + 2*h**3. -3*h**3 Collect the terms in 0*s**3 + 12 - 13*s**3 + 20. -13*s**3 + 32 Collect the terms in x**3 - 884*x + 884*x. x**3 Collect the terms in 13041 + 110*b - 13041. 110*b Collect the terms in -4*s**3 - 63*s**3 - 202*s**3. -269*s**3 Collect the terms in 11*w - 16*w + 11*w. 6*w Collect the terms in -6*s + 3*s - 7*s**3 + 3*s. -7*s**3 Collect the terms in 97 - 97 - 22*r**2. -22*r**2 Collect the terms in -9*k**3 + 7*k**3 + 6*k**3. 4*k**3 Collect the terms in -g + 2*g - 6*g + 7*g + 2*g. 4*g Collect the terms in -2 - 2 - 10*n + 0 + 11*n. n - 4 Collect the terms in -238*s**2 - 193*s**2 + 429*s**2. -2*s**2 Collect the terms in -7*b + 6*b + 5*b + 2*b - 3*b. 3*b Collect the terms in 298*m - 596*m + 298*m - 17*m**2. -17*m**2 Collect the terms in -58*i**2 - 57*i**2 + 114*i**2. -i**2 Collect the terms in -8*s + 5*s - 2*s. -5*s Collect the terms in -24*a**2 + 70*a**2 - 23*a**2 - 20*a**2. 3*a**2 Collect the terms in 2*o - 3*o + 2*o - 4*o. -3*o Collect the terms in 14*j + 12*j - 3*j. 23*j Collect the terms in -3*d**2 + 4*d**2 - 14*d**2 + 12*d**2. -d**2 Collect the terms in -231632*u - u**2 + 231632*u. -u**2 Collect the terms in 7 + 11*m**3 - 2*m**3 - 7. 9*m**3 Collect the terms in -9*r + 3*r + 6*r - 2*r**2. -2*r**2 Collect the terms in 10 - 1 + 0*f - 12*f - 5. -12*f + 4 Collect the terms in -11*f**2 - 54*f + 141 + 54*f - 141. -11*f**2 Collect the terms in 2*a - 41*a**2 - 2*a + 29*a**2. -12*a**2 Collect the terms in -29*c + 152*c**2 + 29*c. 152*c**2 Collect the terms in -70*j**2 + 133*j**2 - 65*j**2. -2*j**2 Collect the terms in -4*z**3 + 10*z**3 - 35*z**3. -29*z**3 Collect the terms in 2 - 2 - 5*m + m**3. m**3 - 5*m Collect the terms in 100*n + 8*n**2 - 100*n. 8*n**2 Collect the terms in 14 + 114*n**2 - 21*n**2 - 14. 93*n**2 Collect the terms in 1 - 2047*z**2 + 2049*z**2 - 1. 2*z**2 Collect the terms in -195*p**3 + 23*p - 23*p. -195*p**3 Collect the terms in -274 + 93 - 2*k + 89 + 92. -2*k Collect the terms in -2*c + c - 3*c - 2*c + 3*c. -3*c Collect the terms in -20400*q**3 - 6 + 3 + 20403*q**3 + 3. 3*q**3 Collect the terms in 3*h**3 + 0*h**3 + 114*h - 114*h. 3*h**3 Collect the terms in -1046*k + 1046*k - 8*k**3. -8*k**3 Collect the terms in 139 - 139 - 44*l. -44*l Collect the terms in 3 + 40*l**3 - 3 - 34*l**3. 6*l**3 Collect the terms in 1 - 95*q - 14 + 96*q. q - 13 Collect the terms in -4550*p - 15*p**3 + 4550*p. -15*p**3 Collect the terms in 180 - 80*q - 88 - 92. -80*q Collect the terms in -19*w**3 + 3*w**3 + 11*w**3 + 6 + 10*w**3 + 0. 5*w**3 + 6 Collect the terms in 12*g - 2*g - 2*g - 5*g. 3*g Collect the terms in -2*a - 11*a + 17*a**2 + 64*a**2. 81*a**2 - 13*a Collect the terms in 24*j + 8*j + 13*j + 71*j. 116*j Collect the terms in -51 - 122*t**2 + 51. -122*t**2 Collect the terms in -21*c**2 + 29*c**2 - 17*c**2. -9*c**2 Collect the terms in 3*j**2 + 15*j**2 - 6*j**2. 12*j**2 Collect the terms in -6 - 1 - 971*i**2 + 972*i**2. i**2 - 7 Collect the terms in 9 - 33*q**3 + 7*q**3 - 8. -26*q**3 + 1 Collect the terms in -22*b**2 + 75*b**2 - 13*b**2 - 17*b**2 - 20*b**2. 3*b**2 Collect the terms in -708*s**3 - 710*s**3 + 1405*s**3. -13*s**3 Collect the terms in 20*j + 19*j - 45*j. -6*j Collect the terms in -5*v + v + 0*v. -4*v Collect the terms in 2*b**2 + 2265 - 2265 + b - b. 2*b**2 Collect the terms in 3*d**2 + 3*d**2 + 3*d**2 + 5*d**2. 14*d**2 Collect the terms in 228 + 2*o**2 - 228 - 2*o**2 - 4*o**3. -4*o**3 Collect the terms in -3*l**2 - 9*l**2 + 6*l**2. -6*l**2 Collect the terms in -56*m**3 + 51*m**3 - m - 4*m + 5*m. -5*m**3 Collect the terms in -5*t**2 - t**2 + 4*t**2 - 85*t + 85*t. -2*t**2 Collect the terms in 7*w - 6*w - 2*w. -w Collect the terms in 1 + 120*t + 122*t - 222*t. 20*t + 1 Collect the terms in 6*k + 106*k**3 - 4 + k - 7*k. 106*k**3 - 4 Collect the terms in -91018*a**2 + 91018*a**2 - 2*a**3. -2*a**3 Collect the terms in -17*t**2 + 4*t**2 + 6*t**2 + 6*t**2. -t**2 Collect the terms in 2*l**3 + 29*l - 41*l + 12*l. 2*l**3 Collect the terms in -33*f**2 + 18*f**2 + 15*f**2 - f**3. -f**3 Collect the terms in -8*z**2 + 3*z**2 + 2*z**2. -3*z**2 Collect the terms in 2*y**2 + 6*y**2 - y + y - y. 8*y**2 - y Collect the terms in -73719649 + 73719649 - 2*f**3. -2*f**3 Collect the terms in 5*d**2 - 105 + 218 - 113. 5*d**2 Collect the terms in -8*t + t + 4*t - 4 + 4. -3*t Collect the terms in 2581*t**3 + 2 - 2577*t**3 - 6 + 4. 4*t**3 Collect the terms in 1079*p**2 - 1079*p**2 - 6*p**3. -6*p**3 Collect the terms in 410*g - 3*g**3 - 410*g + 5*g**3. 2*g**3 Collect the terms in -103*x**2 - 110*x**2 + 263*x**2. 50*x**2 Collect the terms in 4*m**2 + m**2 + m**2. 6*m**2 Collect the terms in 1 + 0 - 40*d - 3. -40*d - 2 Collect the terms in 2*g + 2*g + g - 6*g. -g Collect the terms in 3011*j**3 + 1 - 3010*j**3 - 1. j**3 Collect the terms in -23*d + d**3 - 2*d**2 + 4*d**2 + 23*d. d**3 + 2*d**2 Collect the terms in 33*m**3 + 20*m**3 - 38*m**3. 15*m**3 Collect the terms in -4*n**2 - 12 - 22 + 37. -4*n**2 + 3 Collect the terms in 16*s + 37*s - 27*s + 55*s. 81*s Collect the terms in 19298*r**2 - 19295*r**2 + 0*r + 0*r. 3*r**2 Collect the terms in 57*w**2 - 110*w**2 - 127*w**2 - 6*w**2. -186*w**2 Collect the terms in 212*m**2 + 1471*m**2 - 216*m**2. 1467*m**2 Collect the terms in 1364 + 17*f**3 - 1364. 17*f**3 Collect the terms in -1638 + 1638 - p. -p Collect the terms in -304*r + 581*r - 280*r. -3*r Collect the terms in 18*f + 19*f + 16*f - 55*f. -2*f Collect the terms in -2 - m - 2*m + 9*m. 6*m - 2 Collect the terms in -1644*c**3 + 3275*c**3 - 1633*c**3. -2*c**3 Collect the terms in 23*p - 23*p - 585*p**3. -585*p**3 Collect the terms in -16*g + 90*g - 39*g - 34*g. g Collect the terms in 56*a**3 + 25 - 58*a**3 + 16. -2*a**3 + 41 Collect the terms in 1062*r - 529*r - 533*r + 4*r**3. 4*r**3 Collect the terms in -29*i**2 + 163*i**2 + 66*i**2 + i**3 + 0*i**3. i**3 + 200*i**2 Collect the terms in -3*y**2 - 10*y**2 + 33*y**2 - 21*y**2. -y**2 Collect the terms in -25 + 25 - 2*j**3 + 4*j**3. 2*j**3 Collect the terms in 45 - 45 + 222*b. 222*b Collect the terms in 2 + 15 - 2*k - 4*k. -6*k + 17 Collect the terms in 26 - 6 + 2*r**3 - 9 - 11. 2*r**3 Collect the terms in -2*m**3 - 6*m + 3 - 3. -2*m**3 - 6*m Collect the terms in -37*b**3 + 6*b - 43*b**3 - 6*b. -80*b**3 Collect the terms in 3*c - 4*c - 3*c + 0*c - c. -5*c Collect the terms in 162*t**3 - 85*t**3 - 75*t**3. 2*t**3
{ "pile_set_name": "DM Mathematics" }
72 to the nearest integer? 7 What is the eighth root of 46056 to the nearest integer? 4 What is 1025634 to the power of 1/6, to the nearest integer? 10 What is the square root of 2834185 to the nearest integer? 1684 What is the third root of 17449 to the nearest integer? 26 What is 8844294 to the power of 1/4, to the nearest integer? 55 What is the eighth root of 12666177 to the nearest integer? 8 What is 141071 to the power of 1/2, to the nearest integer? 376 What is 1268000 to the power of 1/3, to the nearest integer? 108 What is the cube root of 209687 to the nearest integer? 59 What is 265637 to the power of 1/2, to the nearest integer? 515 What is the square root of 2806355 to the nearest integer? 1675 What is 3869271 to the power of 1/5, to the nearest integer? 21 What is the cube root of 5343793 to the nearest integer? 175 What is the cube root of 666518 to the nearest integer? 87 What is 15619 to the power of 1/2, to the nearest integer? 125 What is the third root of 709285 to the nearest integer? 89 What is the seventh root of 40869748 to the nearest integer? 12 What is 1406665 to the power of 1/2, to the nearest integer? 1186 What is the ninth root of 23650110 to the nearest integer? 7 What is the tenth root of 676424 to the nearest integer? 4 What is 182324 to the power of 1/2, to the nearest integer? 427 What is 767677 to the power of 1/6, to the nearest integer? 10 What is the third root of 3860096 to the nearest integer? 157 What is the square root of 393875 to the nearest integer? 628 What is the cube root of 2707615 to the nearest integer? 139 What is the third root of 1203472 to the nearest integer? 106 What is the fifth root of 912282 to the nearest integer? 16 What is the square root of 1574291 to the nearest integer? 1255 What is the sixth root of 813382 to the nearest integer? 10 What is the cube root of 1068975 to the nearest integer? 102 What is the square root of 5264759 to the nearest integer? 2295 What is 87787 to the power of 1/2, to the nearest integer? 296 What is the cube root of 213145 to the nearest integer? 60 What is the square root of 100240 to the nearest integer? 317 What is the square root of 1526601 to the nearest integer? 1236 What is the third root of 273576 to the nearest integer? 65 What is the cube root of 1562660 to the nearest integer? 116 What is 5305780 to the power of 1/2, to the nearest integer? 2303 What is the eighth root of 145574 to the nearest integer? 4 What is the cube root of 945270 to the nearest integer? 98 What is 5390541 to the power of 1/3, to the nearest integer? 175 What is the seventh root of 1262031 to the nearest integer? 7 What is 3108850 to the power of 1/2, to the nearest integer? 1763 What is 3021494 to the power of 1/6, to the nearest integer? 12 What is the third root of 209784 to the nearest integer? 59 What is 218596 to the power of 1/7, to the nearest integer? 6 What is the cube root of 2468477 to the nearest integer? 135 What is 87023 to the power of 1/3, to the nearest integer? 44 What is 583211 to the power of 1/2, to the nearest integer? 764 What is the cube root of 4898644 to the nearest integer? 170 What is the ninth root of 796140 to the nearest integer? 5 What is the sixth root of 7016881 to the nearest integer? 14 What is 1705231 to the power of 1/8, to the nearest integer? 6 What is 10609363 to the power of 1/8, to the nearest integer? 8 What is the cube root of 7139956 to the nearest integer? 193 What is the cube root of 2376548 to the nearest integer? 133 What is the square root of 1875423 to the nearest integer? 1369 What is the square root of 315092 to the nearest integer? 561 What is the square root of 1212235 to the nearest integer? 1101 What is the square root of 250227 to the nearest integer? 500 What is 7426056 to the power of 1/3, to the nearest integer? 195 What is 1603554 to the power of 1/5, to the nearest integer? 17 What is 1256425 to the power of 1/2, to the nearest integer? 1121 What is the third root of 3401556 to the nearest integer? 150 What is the third root of 145383 to the nearest integer? 53 What is the square root of 206714 to the nearest integer? 455 What is 808877 to the power of 1/10, to the nearest integer? 4 What is the square root of 2410509 to the nearest integer? 1553 What is the square root of 6634330 to the nearest integer? 2576 What is 16617 to the power of 1/3, to the nearest integer? 26 What is the square root of 1123236 to the nearest integer? 1060 What is the third root of 26171 to the nearest integer? 30 What is the tenth root of 669570 to the nearest integer? 4 What is the square root of 772206 to the nearest integer? 879 What is the third root of 59445 to the nearest integer? 39 What is the sixth root of 2938744 to the nearest integer? 12 What is the eighth root of 5395214 to the nearest integer? 7 What is 209484 to the power of 1/2, to the nearest integer? 458 What is 1423030 to the power of 1/2, to the nearest integer? 1193 What is the third root of 20050397 to the nearest integer? 272 What is 688968 to the power of 1/10, to the nearest integer? 4 What is 16667496 to the power of 1/7, to the nearest integer? 11 What is the third root of 37444360 to the nearest integer? 335 What is the cube root of 1626803 to the nearest integer? 118 What is the square root of 169255 to the nearest integer? 411 What is the square root of 235986 to the nearest integer? 486 What is 221207 to the power of 1/3, to the nearest integer? 60 What is 343660 to the power of 1/3, to the nearest integer? 70 What is the sixth root of 496997 to the nearest integer? 9 What is the cube root of 3878549 to the nearest integer? 157 What is the square root of 62415 to the nearest integer? 250 What is 44353 to the power of 1/3, to the nearest integer? 35 What is 1196968 to the power of 1/2, to the nearest integer? 1094 What is the square root of 9022601 to the nearest integer? 3004 What is the square root of 2265188 to the nearest integer? 1505 What is the third root of 10224925 to the nearest integer? 217 What is the square root of 1984369 to the nearest integer? 1409 What is the tenth root of 410337 to the nearest integer? 4 What is the tenth root of 140349 to the nearest integer? 3 What is 977373 to the power of 1/2, to the nearest integer? 989 What is the square root of 4966044 to the nearest integer? 2228 What is the square root of 4745017 to the nearest integer? 2178 What is the ninth root of 1654324 to the nearest integer? 5 What is 3979284 to the power of 1/5, to the nearest integer? 21 What is 996063 to the power of 1/2, to the nearest integer? 998 What is 507273 to the power of 1/3, to the nearest integer? 80 What is the third root of 2602830 to the nearest integer? 138 What is the eighth root of 6244195 to the nearest integer? 7 What is the ninth root of 264555 to the nearest integer? 4 What is 253294 to the power of 1/7, to the nearest integer? 6 What is 11210208 to the power of 1/5, to the nearest integer? 26 What is the square root of 102056 to the nearest integer? 319 What is 14326595 to the power of 1/4, to the nearest integer? 62 What is 535915 to the power of 1/6, to the nearest integer? 9 What is the third root of 405902 to the nearest integer? 74 What is the fifth root of 11520150 to the nearest integer? 26 What is the square root of 1509505 to the nearest integer? 1229 What is the square root of 230849 to the nearest integer? 480 What is 1026417 to the power of 1/2, to the nearest integer? 1013 What is the square root of 14603650 to the nearest integer? 3821 What is the square root of 10752434 to the nearest integer? 3279 What is the third root of 682075 to the nearest integer? 88 What is 1172991 to the power of 1/2, to the nearest integer? 1083 What is 743141 to the power of 1/7, to the nearest integer? 7 What is the fifth root of 3004329 to the nearest integer? 20 What is the cube root of 390893 to the nearest integer? 73 What is 2264449 to the power of 1/2, to the nearest integer? 1505 What is 480263 to the power of 1/2, to the nearest integer? 693 What is the cube root of 4669615 to the nearest integer? 167 What is the ninth root of 2179104 to the nearest integer? 5 What is 1752365 to the power of 1/9, to the nearest integ
{ "pile_set_name": "DM Mathematics" }
+ 211 = -51*g - 21 for g. -29 Solve 58*p = -49*p + 121 - 14 for p. 1 Solve -245*s + 211*s - 816 = 0 for s. -24 Solve 160*y = -49*y - 2090 for y. -10 Solve 45*w - 949 + 94 = 0 for w. 19 Solve 807 + 453 = 63*z for z. 20 Solve 0 = -34*n - 215 - 125 for n. -10 Solve 0 = 551*b - 7634 - 3386 for b. 20 Solve 101 = -66*c - 700 - 915 for c. -26 Solve 1450*t - 10866 = 10884 for t. 15 Solve 86*h + 813*h + 23267 = 6186 for h. -19 Solve 77*w = -103 + 1951 for w. 24 Solve -2*j - 2*j + 5*j = 14 for j. 14 Solve 3 = -6288*x + 6289*x for x. 3 Solve -141 + 420 = 93*m for m. 3 Solve 636 = 77*w + 60 - 194 for w. 10 Solve 5*z + 197 = 30*z - 28 for z. 9 Solve 0 = 183*l - 84*l + 1485 for l. -15 Solve 2*u - 10*u = -28*u for u. 0 Solve -17908*f + 17877*f + 465 = 0 for f. 15 Solve 0 = -163*c + 230*c - 1072 for c. 16 Solve -126*g + 281 = 29 for g. 2 Solve -449*o - 602 + 62 - 358 = 0 for o. -2 Solve -5*z = -18*z + 349*z - 2352 for z. 7 Solve 665*z - 682*z = -323 for z. 19 Solve -55 + 5659 = 339*d + 180 for d. 16 Solve -140*u = -85*u + 385 for u. -7 Solve -24*t - 122 - 95 = -97 for t. -5 Solve -102*n - 395 = -8*n + 733 for n. -12 Solve 3*i - 3 = 2*i - 5 for i. -2 Solve 61*m = 105 + 566 for m. 11 Solve 27*o + 706 = 841 for o. 5 Solve 11*g + 9 + 12 = -67 for g. -8 Solve -23 = -25*p + 86 + 91 for p. 8 Solve -264*y + 127*y = -121*y - 32 for y. 2 Solve 72*f - 744 - 568 = -92*f for f. 8 Solve -5*d - 216 = 12*d - 5*d for d. -18 Solve -681*c - 11 - 31 = -695*c for c. 3 Solve 1580 - 380 = -48*v for v. -25 Solve 91*g = 27*g + 224 + 992 for g. 19 Solve 1089*s = 1072*s + 238 for s. 14 Solve 1548*l - 1417*l + 917 = 0 for l. -7 Solve -59*s - 12*s = -80 + 506 for s. -6 Solve 36 + 4 = -14*g + 4*g for g. -4 Solve 0 = 311*v - 122*v - 895 - 806 for v. 9 Solve 9832 - 26345 = 1317*l + 15095 for l. -24 Solve 119*k - 187*k = -272 for k. 4 Solve -147*x = 33*x + 360 for x. -2 Solve 0 = -1115*r + 1086*r + 1015 for r. 35 Solve -9*z - 296 = -440 for z. 16 Solve 14064 = -120*y - 466*y for y. -24 Solve -36031 = 946*j - 5759 for j. -32 Solve 86*a - 1365 = 627*a + 4586 for a. -11 Solve 167*l - 2148 = 23 for l. 13 Solve 29*h + 632 = 18 - 169 for h. -27 Solve -202*v - 34 + 122 = -213*v for v. -8 Solve -31 - 14 = 6*d - 15 for d. -5 Solve 202 + 148 = -25*u for u. -14 Solve -43500*v + 648 = -43464*v for v. 18 Solve 103*a - 116 = -59*a + 2800 for a. 18 Solve -681 - 7229 = -565*f for f. 14 Solve 153*j + 4788 = -151*j + 38*j for j. -18 Solve 93063 - 93223 = -16*v for v. 10 Solve -37*s - 16*s = 20*s + 1752 for s. -24 Solve 86*w - 875 = -6*w - 33*w for w. 7 Solve 550 - 308 + 792 = 94*v for v. 11 Solve 0 = 259*u - 271*u - 4 - 8 for u. -1 Solve 0 = 31*d + 53*d - 104 - 148 for d. 3 Solve -53*l + 136 = -72*l + 22 for l. -6 Solve -1533 = -304*b + 652 + 3591 for b. 19 Solve -645 = 34*o - 91 + 126 for o. -20 Solve -2*t + 546 = 30*t + 10*t for t. 13 Solve 19*o = -325*o - 3724 - 2468 for o. -18 Solve -210*d + 2458 = -31*d + 847 for d. 9 Solve -51*n = -302 - 310 for n. 12 Solve 27 + 801 = -69*n for n. -12 Solve 63*f - 156*f + 72*f - 63 = 0 for f. -3 Solve 11*y + 16*y - 344 - 196 = 0 for y. 20 Solve 23 + 11 = 109*j - 293 for j. 3 Solve 32*q - 76*q - 176 = 0 for q. -4 Solve 68*v + 89*v = 64*v - 1023 for v. -11 Solve -b = 1706 - 1699 for b. -7 Solve 953*i + 11839 = -9127 for i. -22 Solve 114*s + 126*s - 843 = -41*s for s. 3 Solve 34*m - 169*m - 69*m + 204 = 0 for m. 1 Solve 411 = 12*z + 5*z + 37 for z. 22 Solve 3056 = 122*p - 1227*p - 259 for p. -3 Solve -408*y + 412*y + 64 = 0 for y. -16 Solve -8*a + 188 = -18*a + 168 for a. -2 Solve -98*s - 34*s + 0*s = 1452 for s. -11 Solve 671*a + 4 = 673*a for a. 2 Solve 282*d = -118 + 400 for d. 1 Solve 413*b + 85 = -528 - 2278 for b. -7 Solve 8*m - 23*m + 162 = -42*m for m. -6 Solve 113*a = -3558 + 733 for a. -25 Solve 5*t - 35863 = -35913 for t. -10 Solve -18*t + 21*t = 38*t - 385 for t. 11 Solve -181*b + 1675*b = -101*b + 36685 for b. 23 Solve -58*c = 45*c - 80*c - 115 for c. 5 Solve 4198 + 5251 - 2226 = 233*q for q. 31 Solve -18*c + 498 - 408 = 0 for c. 5 Solve 0 = -1355*u + 1287*u - 1700 for u. -25 Solve 147*w = 198*w - 51 for w. 1 Solve 5669 = -1226*i - 13947 for i. -16 Solve 115*t + 17*t + 202 + 62 = 0 for t. -2 Solve 11806*k - 11858*k = 728 for k. -14 Solve -75*n + 38 = -39*n - 1150 for n. 33 Solve 10*p + p = -2*p + 10*p for p. 0 Solve -106*s + 79*s + 28 = 298 for s. -10 Solve 5*h + 325 = 305 for h. -4 Solve 93*n + 500 = -151 for n. -7 Solve 71 - 26 - 430 = -55*y for y. 7 Solve -f + 55*f + 4984 = 5524 for f. 10 Solve 1092 = 477*x - 529*x for x. -21 Solve 78*l = 171*l - 79*l + 126 for l. -9 Solve 133 + 552 - 1009 = 18*h for h. -18 Solve -128*x = 44*x + 552*x + 5068 for x. -7 Solve -75 = 83*x + 267 + 73 for x. -5 Solve -6*h + 161*h = 1550 for h. 10 Solve -34*q - 299 - 79 = -160*q for q. 3 Solve -5*q - 268 = 70*q + 332 for q. -8 Solve 1083 = 7*f + 1034 for f. 7 Solve 8976 = 248*g - 3*g + 2606 for g. 26 Solve -201 - 40 = 89*p + 26 for p. -3 Solve -203*u + 2632 = 602 for u. 10 Solve 0 = 682*a - 684*a + 70 for a. 35 Solve 8*d - 24 = -152 for d. -16 Solve 891 = 361*l - 1266 - 1092 for l. 9 Solve -82*z + 44*z - 123*z = 1771 for z. -11 Solve 12180*p = 12220*p + 25 - 825 for p. 20 Solve -7*n - 20*n + 80 = 13*n for n. 2 Solve 1379*l = 1751*l + 2976 for l. -8 Solve 104 + 110 - 238 = -4*m for m. 6 Solve 30*q + 4427 = 4397 for q. -1 Solve -1116*v + 1100*v - 176 = 0 for v. -11 Solve 1364 = 44*g - 124 + 168 for g. 30 Solve 21*b - 555 + 408 = 0 for b. 7 Solve 6*o + 60 = 3*o + 15 for o. -15 Solve 12*k + 9*k + 441 = -0*k for k. -21 Solve 32483*v - 260 = 32493*v for v. -26 Solve -11*d = 9*d + 6*d - 390 for d. 15 Solve -406 = -2749*y + 2735*y for y. 29 Solve -139*f + 2104 = 714 for f. 10 Solve -29 = -396*a + 31 - 60 for a. 0 Solve 58*l + 1850 = -33*l + 17*l for l. -25 Solve -697 = -35*y - 802 for y. -3 Solve -6724 + 9067 = -213*w for w. -11 Solve -49*f - 53*f = -108*f - 54 for f. -9 Solve 0 = -16*l - 65173 + 65301 for l. 8 Solve 6*c - 58*c + 312 = 0 for c. 6 Solve -95*w + 56*w + 507 = 0 for w. 13 Solve 93*p - 315 + 2499 = -219*p for p. -7 Solve 165*y + 107*y = 94*y + 4450 for y. 25 Solve -37*a - 69*a = -38*a - 1972 for a. 29 Solve 20*w + 58 = 102*w + 386 for w. -4 Solve 57*j = -159 - 354 for j. -9 Solve 5751 = 358*v - 56*v - 89*v for v. 27 Solve 0 = -9*r - 5 - 9 - 40 for r. -6 Solve 0 = 91*q + 17863 - 16680 for q. -13 Solve -114*h + 504*h + 3223 = -677 for h. -10 Solve 5157 = -25441*u + 25250*u for u. -27 Solve -292*f + 33*f + 534 = 3642 for f. -12 Solve 623 = -55*n - 22*n + 238 for n. -5 Solve 2*u - 91 = -0*u - 5*u for u. 13 Solve -390*o = 421*o - 837*o + 208 for o. 8 Solve 24*v - 12*v - 286 = -46 for v. 20 Solve -70*u + 397 + 93 = 0 for u. 7 Solve 22*i + 546 + 103 = 143 for i. -23 Solve 22*b - 48 = 36*b - 30*b for b. 3 Solve 540 = -3*c - 8*c + 386 for c. -14 Solve -154*m = 116 + 192 + 308 for m. -4 Solve 0 = -100*t + 86*t + 84 for t. 6 Solve 426 - 1926 = -60*s for s. 25 Solve 697*c + 14638 + 4164 = -409*c for c. -17 Solve 121*s - 4469 + 355 = 0 for s. 34 Solve 121*w = 75*w - 322 for w. -7 Solve 0 = -360*s + 377*s - 51 for s. 3 Solve -42*j - 181 = 12*j + 143 for j. -6 Solve -4*q - 90 = -3*q - 11*q for q. 9 Solve 3430 = -24*g + 3886 for g. 19 Solve 38*c + 3724 - 2964 = 0 for c. -20 Solve -498*v + 2772 = -300*v for v. 14 Solve 15*m = -22*m + 342 + 176 for m. 14 Solve 1093*q - 195*q = 0 for q. 0 Solve -9325 + 304 = -489*m + 7116 for m. 33 Solve 13782 - 12795 = -47*v for v. -21 Solve 57*n - 110*n - 1200 = 147*n for n. -6 Solve 16*x - 190 + 89 = 267 for x. 23 Solve 15*o + 1531 = 1666 for o. 9 Solve -787 = 282*r + 3161 for r. -14 Solve 565 - 3085 = 180*m for m. -14 Solve 719 + 130 = 108*v - 2499 for v. 31 Solve -126 = -25*r - 426 for r. -12 Solve -15*u + 31*u + 187 = 667 for u. 30 Solve 0 = -1429*c + 133*c - 19440 for c. -15 Solve 23*y + 72 = -66 + 115 for y. -1 Solve -267*f - 3541 = 3844 - 1511 for f. -22 Solve -331*z + 236 = -3736 for z. 12 Solve -66*m = -m - 10*m + 495 for m. -9 Solve -113*k + 42*k - 30*k = 606 for k. -6 Solve 0 = 20*a + 8619 - 8819 for a. 10 Solve -329*y + 148*y = -158*y - 345 for y. 15 Solve 535*x + 17540 = -342*x for x. -20 Solve 2*k + 35*k = -6*k - 387 for k. -9 Solve -424 = 374*o + 4438 for o. -13 Solve 0 = -29*k + 12 + 108 + 344 for k. 16 Solve 7*c + 31 = -39 - 42 for c. -16
{ "pile_set_name": "DM Mathematics" }
arrange -2*a**3 + 4*a**3 - 3*a**3 + (460*a + 1263*a - 624*a)*(-2*a**2 + 0*a**2 + 3*a**2) to o*a**2 + i + m*a**3 + n*a and give o. 0 Rearrange (-179 - 298 + 156)*(2 + 2*r**3 - 5*r + 4*r + 0*r) to s*r**2 + w*r**3 + l*r + b and give w. -642 Rearrange 38423*s**3 - 11*s**4 + 11*s**2 - 38423*s**3 + 3 to j*s + o*s**2 + k + b*s**3 + m*s**4 and give o. 11 Rearrange -2400 - 71*r - 2405 - 27*r + 4805 to the form h*r + k and give h. -98 Express -5*z**4 + 4*z**4 - 343*z**3 + 170*z**3 + 81*z**2 + 172*z**3 as l*z**2 + a + f*z**4 + b*z**3 + k*z and give b. -1 Rearrange w**3 + 1086 + 3*w - 1089 - w to h*w**3 + j*w + z + i*w**2 and give h. 1 Express 32*w**4 + 1 - 45*w**4 + 4*w + 2*w**2 + w in the form s*w**2 + m + z*w**4 + l*w + r*w**3 and give m. 1 Rearrange 5 + k**2 - 2*k**2 + 2*k**2 - 7 - k**2 + 7 + (-1 + 1 + 1)*(2*k**2 - 3*k**2 - k**2) + (-43*k + 3*k + 6*k)*(0 + k + 0) to h*k + t*k**2 + u and give t. -36 Express -77 - 5*q**2 + q + 0*q + 70 as u*q**2 + l*q + s and give s. -7 Rearrange 2*a + 137 + 24 - 79 to the form n + d*a and give n. 82 Rearrange 2*k**2 - 147 + 141 - 6*k**3 - k + k to s + z*k + v*k**3 + c*k**2 and give z. 0 Rearrange 6 + 8*x**2 + 22 + 13 - 44 to the form f*x**2 + j*x + t and give f. 8 Rearrange -890 - 2*c**4 + 2*c**3 + 890 - 12*c**2 - 2*c**4 to d*c + x*c**3 + p*c**2 + y*c**4 + v and give x. 2 Express 2*j**4 + j - 4044 - 4*j**4 + 4015 in the form m*j**2 + g*j + p + o*j**4 + s*j**3 and give o. -2 Express -388*l**4 - 9*l**4 - 144*l**4 + (-l + l - 2*l**4)*(5 + 0 - 3) as x*l**4 + g*l + i + j*l**2 + b*l**3 and give x. -545 Rearrange 10*d**2 - 12*d**2 + 17*d**2 + 2*d**3 to the form l*d**2 + a + u*d + z*d**3 and give z. 2 Express -10*j**3 - 64 + 2*j**2 + 66 + 3*j**4 - 2*j**4 + (3 - 3 + 2)*(2*j**4 - j**4 + 3*j**4) as f*j**2 + z*j**3 + i*j + q + h*j**4 and give q. 2 Rearrange (-3*r + 6*r - 11*r)*(r - 83 - 20 + 6) to i*r**2 + k*r + a and give a. 0 Express (3 - 1 + 0)*(6*d + 1 - 1 + 3)*(0 + 3 - 5) as u*d + k and give u. -24 Express (39 - 79 - 49)*(5*r - 4*r + 3*r) in the form o + g*r and give g. -356 Express (0*k + 4*k - 3*k)*(-3 + 3 - 2 + (-2 + 0 - 2)*(-2 + 2 - 1)) as g*k + s and give g. 2 Express 3*q - 5*q + 0*q + 2*q + 0*q - q + (0 + 5 - 3)*(-4*q + q + 5*q) - q - 2*q + q - 363*q - 8 + 160*q + 180*q in the form j*q + o and give o. -8 Express -255*v + 751*v - 13*v**2 - 248*v - 250*v as d*v**2 + g*v + k and give k. 0 Express 10*b**2 - 126*b**2 - 27*b**2 + 5*b**2 as d*b + p + f*b**2 and give d. 0 Rearrange (3*g**2 + 0*g**2 - 2*g**2)*(-36*g - 226*g - 264*g - 387*g) to the form x*g**3 + b*g**2 + k + n*g and give x. -913 Express -4*s**2 + 4*s**2 - 2*s**3 + (2*s**3 - 2*s**2 + 2*s**2)*(-4 + 3 - 1) - 14*s**2 + 14*s**2 + 23*s**3 as y*s + b*s**3 + g*s**2 + z and give b. 17 Rearrange (2 + 13 - 4)*((-2*t**2 - 6 + 6)*(2*t + 0*t - t) - 3*t**3 + 10*t**2 - 10*t**2) to the form f*t + m*t**2 + y*t**3 + c and give f. 0 Rearrange 14*i + 4 + 19*i + i + 41*i to the form x + c*i and give x. 4 Rearrange -5 + 16*x + 8*x + 4 + 2 to p*x + u and give p. 24 Rearrange (-2*s**4 + 0*s**4 + 0*s**4)*((4 + 0 - 3)*(1 - 4 + 2) - 4 + 3 - 1)*(-218 + 7 + 64) to y + w*s**2 + o*s + v*s**3 + h*s**4 and give h. -882 Express -30*k**2 + 1003*k - 2008*k + 1008*k as o + v*k**2 + h*k and give o. 0 Express -365 + 181 + 142*m + 182 + 2*m**2 in the form p*m + d + v*m**2 and give p. 142 Express -14*j**2 + 12 + 5 - 9 - 3 as s*j**2 + r + m*j and give s. -14 Express 2*x**2 + 3*x**2 - x**2 + (-2*x + 1 - 1)*(-7*x + 3*x - x) + (-3*x - 3*x + 7*x)*(-1 + 1 + 2*x) + x**2 + 0*x + 0*x in the form a + w*x + v*x**2 and give v. 17 Express (-1 + 0 - 1)*(-6*a + 10*a + 0*a) + (4 - 4 + 1)*(0*a + 0*a + a) + 0*a - 10*a - 7*a as q*a + c and give q. -24 Express (-7 + 7 - 2*w**3)*(-8 - 4 + 3)*(-12 - 1 + 1) in the form t*w**2 + h + q*w**3 + i*w and give q. -216 Express (-3*m + 3*m**2 + 3*m)*(11*m**2 + 3 + 74*m**2 - 16*m**2) in the form i*m + z + o*m**2 + s*m**3 + v*m**4 and give o. 9 Rearrange (6*g**2 - g + 23 + 23 - 12)*(g + g - 3*g) to the form m*g**2 + z + p*g**3 + h*g and give p. -6 Rearrange -4 - 8 - 18*y**2 - 66*y**2 + 1 to w*y**2 + f + l*y and give f. -11 Express -6*q - 609*q**2 - 13*q - 6*q + 25*q in the form t + r*q + n*q**2 and give n. -609 Rearrange (-410*f - 69*f**2 + 410*f)*(4*f**2 - 4*f**2 + 2*f**2) - 9*f - 5*f**4 + 9*f to the form l*f + c*f**2 + i*f**4 + r*f**3 + n and give i. -143 Express -2 - 3*k**4 + 2*k + 0*k**3 + 0 + 51*k**2 - 50*k**2 - 5*k**3 as w*k**3 + m*k**4 + d + y*k**2 + o*k and give m. -3 Rearrange -2 + 4 + 50*m + m**3 - 49*m - 4*m**2 - 2 to the form n*m**2 + t + x*m + p*m**3 and give n. -4 Rearrange q + 0*q**2 - 16 - 2*q - q**2 + 35 - 12*q**4 - 20 to y*q**3 + a*q + r + j*q**4 + l*q**2 and give j. -12 Rearrange -g**3 + 5 + g - 2 + 984*g**2 - 982*g**2 to the form f*g**2 + r*g**3 + t*g + h and give h. 3 Rearrange 4*k**2 - k**2 - 4*k**2 + (0 + 1 + 1)*(-49*k**2 + 54*k**2 + 17*k**2) to the form w + f*k**2 + r*k and give f. 43 Express 1127*g + 982*g - 685*g + 281*g as v*g + r and give v. 1705 Rearrange 4*m**2 + 7*m**4 - 7*m**3 - 16*m**4 - m**4 to i*m**4 + a*m + z*m**3 + f*m**2 + d and give f. 4 Express 1409 - 31*s**3 + 5*s - 1409 in the form f*s**2 + a*s + c + y*s**3 and give a. 5 Express -7*y + 5*y**4 + 7*y + (-3*y + y + y)*(y**3 - 2*y**3 + 0*y**3) - 2*y**4 - 2*y**4 - y**4 as w*y + u*y**3 + d*y**4 + j + i*y**2 and give d. 1 Rearrange (m**2 - m**2 - m**2)*(-5*m + 10*m + 9*m + (3*m - 3*m - 2*m)*(1 - 1 - 3))*(2 + 2 - 1) to c*m**2 + w + o*m + t*m**3 and give t. -60 Express 100*f + 454*f + 92*f as k + y*f and give y. 646 Rearrange (4*g - 12*g - 11*g**2 + 5*g)*(g + 2*g + g) to the form q*g**2 + j + y*g + l*g**3 and give q. -12 Express -1 - t**2 + 1 + (1 - 1 + 2)*(-317*t**2 - 129*t**2 + 16*t**2) in the form w*t**2 + f + i*t and give w. -861 Express 6*u - 25*u + 19*u + 1 - 3*u**2 - 5*u**3 as v*u**2 + k*u**3 + o*u + b and give b. 1 Rearrange 163*h - 5 - 81*h - 79*h to the form o*h + p and give o. 3 Rearrange -1 - 110*l**4 + 3*l**3 - 21*l**2 + 21*l**2 - 4*l**3 to q*l**3 + k*l + o + m*l**2 + c*l**4 and give q. -1 Express (2 + 2 - 6 + 4 - 1 - 5 + (-4 - 1 + 4)*(2 - 1 + 0) + 3 - 3 - 1 + 3 - 7 + 3 - 2 - 3 + 2)*(-p - 2*p + 2*p) + 3*p + 4*p - 6*p as t + u*p and give t. 0 Rearrange -16606 + 16606 + 122*q to the form j + s*q and give s. 122 Rearrange (0*w**2 + 9*w**2 - w**2)*(30*w - 2 - 6*w**2 - 12*w**2 + 17*w**2) to d*w**4 + m*w + c + g*w**3 + s*w**2 and give s. -16 Express (2*q**2 + 4*q**2 + 0*q**2)*(3*q - q + 4*q) + 2*q - 4*q**3 + 0*q - 3*q - 1 as p*q + z*q**3 + a*q**2 + r and give z. 32 Rearrange -421 + 138 + 3*k**3 + 140 + 143 - 12*k - 2*k**2 to n*k + m*k**2 + s + q*k**3 and give m. -2 Express -20*a**3 + 2 + 21*a**3 - 2 - 2*a**3 - 26*a - a**2 as r*a + c*a**2 + w + n*a**3 and give r. -26 Express 297*j**3 - 108*j**3 + 4 - 2 + 134*j**3 in the form d + n*j + x*j**2 + q*j**3 and give d. 2 Express -2*x**3 + 0*x**2 + 0*x**2 + 2*x**3 - 2*x**3 - x**3 + (2*x - 2*x + 2*x**2)*(533*x - 207*x - 196*x) in the form j*x**2 + l + f*x**3 + y*x and give f. 257 Rearrange -13 - 241*g + 123*g + 116*g + 2*g**3 - 3*g**3 to the form p*g**2 + l + x*g + f*g**3 and give p. 0 Express -2 - 4*k**3 - 3032*k**2 - 2*k**4 - 3*k**3 + 3030*k**2 + 6*k**3 in the form h*k**3 + q*k**2 + p + c*k + o*k**4 and give o. -2 Express -2*v**2 - 2*v**3 + 99*v**4 + v + 77*v**4 - 18*v**4 in the form n*v**2 + x*v**3 + a*v + y + z*v**4 and give y. 0 Express -6*x - x**2 + 11*x - 62*x as h + q*x**2 + g*x and give g. -57 Rearrange (3*q**2 - 4*q**2 - q**2)*(15*q - 23 + 23) - 14*q**3 + 26*q**3 - 11*q**3 to the form d*q + v*q**2 + j + a*q**3 and give a. -29 Rearrange -1879*w - 508*w**2 + 1879*w to k*w**2 + a + v*w and give k. -508 Rearrange -5*d**4 + 2*d**4 + 5*d**4 + (-8*d + 2 - 2)*(4 + 2*d**3 - 4) - 11*d**4 - 27*d**4 + 141*d**4 to the form r + c*d**4 + h*d + i*d**2 + l*d**3 and give c. 89 Express 60*k - 658*k**2 + 63*k + 3003*k**2 - 123*k as q*k**2 + p*k + n and give q. 2345 Rearrange (3 - 1 + 0)*(2*c - 2*c - 2*c)*(640*c + 51*c**2 - 640*c) to b*c**3 + r*c**2 + x*c + d and give b. -204 Rearrange 161*x + 109*x + 89*x + 21*x - 49*x to w + f*x and give f. 331 Express 158 - 4*o - 165*o - 82 - 78 as s + v*o and give s. -2 Rearrange 33 - 42 - 29*r**3 - 3*r + 31*r**3 to q*r**2 + b*r**3 + x*r + g and give g. -9 Express x + 144 - 5*x + 7*x**3 - 3*x**4 - 61 - 85 in the form c*x + y +
{ "pile_set_name": "DM Mathematics" }
10/o. Let u(s) = -9*s - 7. What is the tens digit of u(p)? 1 Let s(d) = -d**2 + d - 1. Let b be s(0). Let y = 3 - b. Suppose 110 = o + y*o. What is the tens digit of o? 2 Let i(z) = 17*z**3 - z**2 + 1. Let y be i(1). Let f be 1*-1 + y + -13. Suppose f*o + 64 = 2*u - 26, 3*o = 6. What is the tens digit of u? 4 Let q(y) = 28*y + 25. Let r be -2 - (-13)/2 - 10/20. What is the units digit of q(r)? 7 Let l = 488 - 407. What is the units digit of l? 1 Let t(q) = 228*q**2 - 2*q. Let j be t(-1). Suppose g = 3*g - j. What is the units digit of g? 5 Let z(r) be the first derivative of r**3/3 - 5*r**2 + 18*r + 2. What is the units digit of z(9)? 9 Let a = 16 + -16. What is the units digit of 7 + (-2 - -4) - a? 9 Suppose l + 5*q = 5*l - 27, 4*l - 4*q = 28. Let c be -101 + (-4)/l*-8. Let u = -65 - c. What is the tens digit of u? 3 Let o(q) = 13*q**2 + q + 28 - 7*q**2 - 5*q**2. Let v be (-1 + -1 - -1)*0. What is the tens digit of o(v)? 2 Let d = 5 - 1. Suppose 3 + d = q. Let j = q + 1. What is the units digit of j? 8 Suppose -58*x + 59*x - 453 = 0. What is the tens digit of x? 5 Suppose 34511 = 103*z - 479871. What is the tens digit of z? 9 Let m(g) = -383*g + 114. What is the tens digit of m(-1)? 9 Suppose -1071 + 205 = -l - 5*a, -4*a - 857 = -l. What is the hundreds digit of l? 8 What is the hundreds digit of -2*(3 + (-3783)/6 + 3)? 2 Suppose -2*f = 6*k - k + 5, 4*f - 60 = 4*k. Let c = f - -71. What is the tens digit of c? 8 Suppose -13*m + 5533 + 3190 = 0. What is the units digit of m? 1 Let y(b) = b**3 + 6*b**2 - 6*b - 18. What is the units digit of y(5)? 7 Suppose 0 = 6*z - 1651 - 1907. What is the units digit of z? 3 Let r = -341 - -697. What is the hundreds digit of r? 3 Let k(f) be the first derivative of -f**4/4 + 8*f**3/3 + 4*f**2 + 6*f + 13. What is the tens digit of k(8)? 7 Let p = -94 - -129. Suppose -2*c + 91 = p. What is the tens digit of c? 2 Let f be (19 + -4)/3 - 1. Suppose -f*t - 2*k + 100 = t, 5*k + 25 = 0. What is the units digit of t? 2 Let n = 21 - 23. What is the units digit of (29 + -4)/(4 + n + -1)? 5 Suppose 4*n = -2*i + 2, -5*i - 10 = 9*n - 4*n. Suppose -n*h + 31 + 29 = 0. What is the tens digit of h? 2 Let x(r) = 8*r**3 - 13*r**2 - 18*r - 8. What is the hundreds digit of x(5)? 5 Let u = 693 - -171. What is the tens digit of u? 6 Let v = -23 + 17. Let r(x) be the first derivative of x**3/3 + 2*x**2 + 7*x - 4. What is the tens digit of r(v)? 1 Suppose 4*d = 8*d - 4, w - 1563 = d. What is the hundreds digit of w? 5 Suppose -475 = -5*g - 2*k + 220, 4*k = 0. Suppose -4*l + g = -165. What is the units digit of l? 6 Let i(x) = -x + 7. Let n be i(6). Let u = n - -6. Suppose -84 = -14*d + u*d. What is the tens digit of d? 1 Let d = 12 + -7. Let n(y) = 55*y - 103*y + 6 + 53*y. What is the units digit of n(d)? 1 Let b(y) = -y**2 - y - 3. Let w be b(0). Let i(v) be the first derivative of v**4/4 + v**3 - 3*v**2/2 - v + 176. What is the units digit of i(w)? 8 Let v be (-2 - (1 + -3))/(-1). Suppose -3*r - 5*r + 624 = v. What is the units digit of r? 8 Suppose 505 = s - n, s - 488 - 8 = -2*n. Suppose 7*y - 9*y + s = 0. What is the hundreds digit of y? 2 Suppose -4*w + 8 = 2*m, 2*m + 3*w = -2*w + 12. What is the tens digit of (-2)/(-6) + 1016/12 + m? 8 Suppose 0 = -2*v - b - 149, 8*v - 4*b = 3*v - 392. Let t = -48 - v. What is the units digit of 21/t + 13/4? 4 Suppose 5*o + 27 = j, 2*j - 2*o = o + 26. Let x be 2 - -16*(-1)/(-2). Suppose j*d = 9*d - x. What is the units digit of d? 5 Let m be 2 - (12/(-3) + 2). Suppose -m*o = 3*q + 12, 2*o = -2*q + 7*q + 20. What is the tens digit of (-2)/(-3)*(-138)/q? 2 Let k = -15 - -12. What is the units digit of (k + 2)*3 + 99? 6 Let c(p) = p**2 + 13*p + 16. Suppose -z - 5*x = -0 - 5, -3*x - 3 = z. What is the tens digit of c(z)? 4 Suppose 0 = -m + 3*c + 1, -4*c + 0 = m - 1. What is the tens digit of (m - -1)*245/14? 3 Let q(c) = c + 44. Suppose -o + 2*o - 12 = 3*x, -o + 5*x + 20 = 0. What is the units digit of q(o)? 4 Let s(n) = -1 - 9*n + 6 - 14 + 29. What is the tens digit of s(-14)? 4 Let c(o) = 4*o**2 - 3*o. Let a = 31 + -30. Let m be -6 + -3 + 5 + a. What is the tens digit of c(m)? 4 Suppose 3*v - v + s - 165 = 0, -5*v + 408 = -2*s. Let d = v - 4. What is the tens digit of d? 7 Suppose 5*z - 2*p + 443 = 0, -2*z - 6 - 152 = 4*p. Let f = z - -52. Let v = -23 - f. What is the units digit of v? 2 Suppose 0*j - 8 = -2*j. Suppose -f + j - 8 = 0. Let m = f + 33. What is the units digit of m? 9 Let g(i) = 25 + i - 6*i - i. What is the tens digit of g(-13)? 0 Suppose -8*a - 24 = -5*a. Let o = 6 + a. What is the units digit of 36 + (o - 1) + 1? 4 Let m be 3/(-5) + (-26)/(-10). Let g(n) = 8*n**3 + n - 2. Let w be g(m). Let z = w + -31. What is the tens digit of z? 3 Let q = 163 - 108. Let y = q + -34. What is the units digit of y? 1 Suppose 0 = -5*f + 4*l + 4446, -5*l + 4825 - 1260 = 4*f. What is the tens digit of f? 9 Let v(r) = 123*r**2 + 20*r - 12. What is the hundreds digit of v(-3)? 0 Let w = -2 - 4. Let t(l) = l**2 - 2*l + 2. What is the tens digit of t(w)? 5 Suppose 3*t - t = -2*w + 2, 4*w - 11 = 3*t. Suppose -3*q - 27 = -w*q. Let h = -11 - q. What is the tens digit of h? 1 Let i(d) = d**2 - 4*d - 5. Let h be i(7). Let u = -14 + h. Suppose 2*x = z + 47, -u*z + 4*z - 60 = -3*x. What is the tens digit of x? 2 Let d = -6017 + 9025. What is the thousands digit of d? 3 Let j = 0 + 0. Let k = 13 - 7. Let z = k + j. What is the units digit of z? 6 Suppose 7*s - 4*s + 48 = 0. Let d = s - -42. What is the units digit of d/6 - 2/6? 4 Let y = -51 - 60. Let m = y + 315. What is the hundreds digit of m? 2 Let u(z) = -z**3 - 2*z + 5. Let t be u(0). Suppose -6*b - t*d + 261 = -3*b, -4*b + 5*d + 383 = 0. What is the units digit of b? 2 Let g = 184 - -288. Suppose 0 = 4*f + 36 - g. What is the tens digit of f? 0 Suppose 10*j - 7*j - 4200 = 0. What is the units digit of j? 0 What is the units digit of 290 - ((-6 - 0) + 12)? 4 Let g(q) = q**2 + 4*q + 4. Suppose -2*t - 20 = 3*t. Let f be g(t). What is the units digit of f/(-6) + (-53)/(-3)? 7 Let l = 2510 + -1783. What is the tens digit of l? 2 Suppose 3*k + 2*q - 16 = 0, 4*k + 10 = -k + 4*q. Suppose -2*m + 766 = 4*y, 0 = -4*y + 2*y + k*m + 392. What is the hundreds digit of y? 1 Let a = -1440 - -4012. What is the thousands digit of a? 2 Suppose 2*d = -2*d + 4*q + 44, -q = 4*d - 24. Let p be 154 + (4 - 5) + -1. Suppose -d*m + p = -3*m. What is the tens digit of m? 3 Let f = 55 + -20. Suppose -8*i = -3*i - 2*u - f, 5*i = -5*u. Let d = i - -3. What is the units digit of d? 8 Let i = 281 - 273. What is the units digit of i? 8 Suppose 4 = 3*i - 11. Let m(b) = 6*b + 12. What is the tens digit of m(i)? 4 Suppose 0 = o + 3*v - 338, o + 4*o = -3*v + 1738. What is the units digit of o? 0 Let a = 106 + 35. Let n = 4 + 1. Suppose -31 + a = n*m. What is the tens digit of m? 2 Let d be 2562/(-315) + (-4)/(-30). What is the units digit of ((-20)/6)/(d/96)? 0 Suppose -6*q - 697 + 15889 = 0. What is the thousands digit of q? 2 Let r = 13 + -19. Let v be (r/5)/(6/80). Let l = -9 - v. What is the units digit of l? 7 Let a be -12*((-2)/3 - 0). Suppose -a*o = -11*o + 9. What is the units digit of o? 3 Let h(x) = -69 + 3*x**2 - 3*x + 5*x**2 + 71. Let b(m) = m**2 + m. Let g be b(1). What is the units digit of h(g)? 8 Suppose 15620 = 17*t + 1255. What is the hundreds digit of t? 8 Let x = -205 + 617. What is the tens digit of x? 1 Let i(a) = -a + 7. Let c be i(3). Let y be 17 + (6 - (-2 + c)). What is the tens digit of ((-28)/y)/(2/(-93))? 6 Let o(l) be the third derivative of 2/15*l**5 + 0 + 5/12*l**4 + 0*l + 1/120*l**6 + 5*l**2 + 7/6*l**3. What is the units digit of o(-6)? 9 Let h(y) = -240*y + 67. What is the tens digit of h(-3)? 8 What is the tens digit of 2 - ((-9)/(-3) + -1026)? 2 Let w be (4/(8/(-102)))/(-1). Let i = w + -27. What is the units digit of i? 4 Let i(b) = b**3 + 7*b**2 - 8*b + 3. Let c be i(-8). Suppose -c*p - 561 = -3*o, 0*o = 2*o + 5*p - 367. What is the tens digit of o? 8 Suppose -4*r - 63 = -55. What is the hundreds digit of r - (-27)/12 - (-1222)/8? 1 What is the tens digit of 1*((-4 - -10) + -5 + 70)? 7 Let y(g) = 4*g + 45. Let j(w) = -w**3 - 26*w**2 + 27*w - 7. Let h be j(-27). What is the units digit of y(h)? 7 Let y(c) = -105*c + 3. What is the hundreds digit of
{ "pile_set_name": "DM Mathematics" }
(i) + 2*o(i). Suppose 0 = 2*r - 5*c + 10, c - 2 = -0*r + 3*r. Suppose r = -11*z + 6 - 39. Give v(z). -15 Let j be (-57)/152 - (-26)/(-16). Let a(x) = 26*x - 1. What is a(j)? -53 Let z(g) = -g**2 + 4*g - 31. Let v(x) = x**2 - x + 1. Let b(q) = -6*q**2 + 10*q - 38. Let n(f) = -b(f) - 5*v(f). Let r(d) = -3*n(d) - 4*z(d). Calculate r(0). 25 Let x(v) = -v**2 + 20*v + 72. Let n(h) = -2*h - 5. Let i(f) = -4*n(f) + x(f). Determine i(31). -1 Let d(y) = -y**2 - 228987 + 114503 + 9*y + 114506. Calculate d(10). 12 Let k(b) = -b**3 - b**2 + 1. Suppose 7*d - 3*d - 17 = -t, -t + 12 = 3*d. Suppose 15 = -4*i + d*l, -2*i + 15*l - 15 = 10*l. What is k(i)? 1 Let h(s) = 354*s**2 - 350*s**2 - 1 - 3 + s**3 + 0*s**3. Let r = 9 + 2. Suppose 3*n - 2 = -r. Give h(n). 5 Let f(r) = -3*r**3 + 6*r**2 - 8*r. Let t(l) = 2*l**3 + 8*l**2 - 31*l - 109. Let g be t(-3). Give f(g). -16 Let b(t) be the third derivative of t**5/60 - t**4/24 - 3*t**3/2 - 619*t**2. What is b(0)? -9 Let r(f) = -12*f - 58 - 24*f + 20*f - 6 - 6*f. Give r(-3). 2 Let x(q) = q**2 - 7*q - 5. Let t be 4/(-14) - 6/(-21). Suppose -2*d + 2*o = -t*d - 8, 0 = 4*d - 2*o - 24. Let w be x(d). Let g(p) = -5*p + 2. Give g(w). -13 Let y(q) = -4*q**2 - 4*q + 8. Let l(a) = 5*a**2 + 5*a - 9. Let u(n) = 5*l(n) + 6*y(n). Let x = 86554 - 86557. Give u(x). 9 Let f = 5 + -2. Let q(k) be the first derivative of -1/4*k**4 - 84 + 2/3*k**3 + k**2 - 2*k. Determine q(f). -5 Suppose 100 - 451 = -13*i. Suppose 19*y + i = -11. Let n(l) be the third derivative of l**6/120 + l**5/30 + l**4/8 + l**3/6 + 4*l**2. Give n(y). -5 Let g(d) = 121*d - 1815. Let w be g(15). Let k(s) be the second derivative of 5/2*s**2 - 1/2*s**3 - 14*s + w. Determine k(5). -10 Suppose 88*o - 679 = -9*o. Let g(j) = -j**3 + 9*j**2 - 17*j + 16. Determine g(o). -5 Suppose -30 = -5*a - 5*n, -2*n + 7 = a - 0*a. Let r(y) be the second derivative of -y**3/6 - 627*y - 2. Determine r(a). -5 Let t = 19 + -19. Suppose 0 = -2*v - 2*f + 16, t = 5*v - 2*f + 6*f - 35. Let y(g) = 4*g**2 - v*g**3 + 0*g**3 - 2 - 3*g**2 + g + 4*g**3. What is y(0)? -2 Let c(w) = -6*w + 4. Let f be c(-16). Suppose 13*x = 11*x - f. Let t be 170/x + 3/(-5). Let u(s) = s**3 + 4*s**2 + s + 4. What is u(t)? 0 Let g(s) be the third derivative of -s**4/8 + 8*s**3/3 + s**2 + 33. Let x be (-1 + -2)*(-4 + (-56)/(-24)). What is g(x)? 1 Let v(h) be the first derivative of -2*h**3/3 + 9*h**2/2 - 17*h + 1162. Give v(4). -13 Let p(i) = -2*i**3 + 2*i**2 - 2*i + 1. Let u = -204 - -194. Let v(o) = -3*o - 29. Let a be v(u). Give p(a). -1 Let g(r) be the third derivative of 1/24*r**4 + 29/6*r**3 - 24*r**2 + 0 + 0*r. Let c be g(-24). Let q(a) = a + 3. Calculate q(c). 8 Let b(q) = 273*q - 31397. Let w be b(115). Let d(p) be the second derivative of 2*p**3/3 - p**2/2 + 2*p. Calculate d(w). -9 Let d(t) be the second derivative of t**4/12 + 5*t**3/3 - 5*t**2 + 3311*t. Determine d(-4). -34 Let j(t) = 695*t - 147 - 1330*t + 683*t. Give j(3). -3 Let n be (-4 + 8)*(-7)/(-28). Let a(u) be the second derivative of -u**5/20 + u**4/12 - u**2/2 + 15*u - 1. What is a(n)? -1 Let t(h) be the third derivative of h**5/30 + h**4/6 - 14*h**3/3 + 86*h**2. Let q(n) be the first derivative of t(n). Give q(-5). -16 Let z(g) = g + 14. Suppose 0 = 5*m - 9*m + 5*s + 490, 0 = -2*m - s + 238. Suppose 0 = -100*d + 112*d + m. Determine z(d). 4 Let w(d) be the third derivative of -d**4/12 + d**3/6 - d**2 - 1449*d. Suppose -3*a - o = 2*a - 35, -a - 7 = 3*o. Suppose -m - m = -a. Calculate w(m). -7 Let u(f) = -2*f. Let v(q) = -4*q**2 + 27*q - 1. Let m(d) = u(d) - v(d). Give m(7). -6 Let c(v) = 2*v**2 + 15*v + 1. Let i be c(-6). Let y = -3 - i. Suppose 0 = -7*u - y - 28. Let l(w) = -w**2 - 6*w - 1. Calculate l(u). -1 Suppose 0 = -9*f + 42 - 15. Let v(z) = -22 + 9 + 2*z - f*z + 11. Determine v(-6). 4 Let a(j) be the second derivative of 3*j - 1/6*j**3 - 3/2*j**2 + 0. Suppose 2*b - 22 = 17*c - 12*c, -c - b - 3 = 0. Calculate a(c). 1 Let q(v) = -2*v - 6. Let l(p) = p**2 + 11*p - 51. Suppose 146 + 50 = -14*k. Let t be l(k). Determine q(t). 12 Let j(f) = f**3 - 8*f**2 + 21*f - 43. Let b be j(6). Suppose -b = 23*v + 12. Let o(y) = -14*y**3 + 1. What is o(v)? 15 Let a be 105/(-12) - (-1)/(-4). Let u(h) be the first derivative of -h**3/3 - 9*h**2/2 - 4*h - 289. Determine u(a). -4 Let c(g) = 2*g. Suppose 0 = -8*q + 21*q + 546. Let v be 3 + q/7 + 5. What is c(v)? 4 Let u(s) be the third derivative of s**9/60480 + s**8/6720 - s**6/720 + 33*s**5/20 - 28*s**2. Let m(i) be the third derivative of u(i). What is m(-1)? 1 Let b(s) = -s**3 - 3*s**2 - 2*s + 2. Suppose l + 10*k = 5*k + 12, -4*l + 3*k - 21 = 0. Determine b(l). 8 Let v = 12899 + -12899. Let h(c) = -c**2 + 3*c + 8. Give h(v). 8 Let h be 6 - 16 - (4 - 6) - -4. Let k(x) = x**3 - 5*x**2 + 5. Determine k(h). -139 Let o(j) = -3 - 39*j**2 + 21*j**2 + 2*j**3 - 28*j + 23*j**2 + 21*j**2. Calculate o(-14). -3 Let t(z) = 2*z + 43. Let d be t(-14). Suppose d = -5*k + 4*j, 3*k - 4 = 3*j - 10. Let b(p) = -p - 6. What is b(k)? 1 Let x(q) be the third derivative of -q**5/30 + q**4/6 - 7*q**3/6 - 1837*q**2. Give x(3). -13 Let r(w) be the second derivative of -w**4/12 + w**3 + 2*w**2 - 20*w - 25. Give r(-3). -23 Let n(d) = 53*d**2 - 7*d + 168. Let t(r) = -9*r**2 - 28. Let z(i) = n(i) + 6*t(i). Let m = -3 - 6. Give z(m). -18 Let x(n) = -2*n**3 + 9*n**2 - 11*n + 9. Let d be x(3). Suppose 2*g = d*q + 5, -9 + 3 = 2*q - 4*g. Let t(y) = -y. What is t(q)? 1 Let g(c) = -12*c + 341. Let t be (-1)/(-13*9/3393). What is g(t)? -7 Let w(o) = -12*o**2 + o + 1. Let k be 3*(-2 - -1) - (-77)/11. Let s be k*((-46)/56 - 144/(-252)). Give w(s). -12 Suppose 15 = -5*x, 5*n = -4*x + 22 - 4. Let g(c) = 1 - 8*c**2 + n*c + c**3 + 20 - 24. Calculate g(7). -10 Suppose -a = 2*u - 27, 13*a - 4*u - 235 = -u. Let g(z) = z**2 - 22*z + 54. Calculate g(a). -3 Suppose 0 = 5*g - 2*j - 9 - 25, 3*j - 18 = -4*g. Suppose 4*v - v - 4*m = g, -2*v + 8 = -4*m. Let q(h) = -11*h + 1. Determine q(v). 23 Let x(g) be the first derivative of -g**4/4 + 7*g**3/3 + 3*g**2 - 5*g + 78. Determine x(8). -21 Let v = 749 - 758. Let j(o) = -o**2 - 5*o - 12. What is j(v)? -48 Suppose -16 = -2*u - 2*t, 3*t - 14 = 8*u - 6*u. Let w(m) be the second derivative of m**u - 1/3*m**3 + 0 - 7*m. Give w(3). -4 Suppose 1953 = 8*j + 1921. Let x(s) = s**3 - 2*s**2 - 7*s - 3. Calculate x(j). 1 Let j(w) = w**2 + 13*w - 46. Let c be (2 + 12/(-7))/(142/(-6958)). What is j(c)? -32 Let n(z) = z**2 + 2. Suppose 2*g + 5*t = -515, -92 = -4*g + 2*t - 1182. Let c = -272 - g. Give n(c). 6 Let j(t) = 622*t + 9945. Let a be j(-16). Let b(n) = 2*n**2 + 24*n + 10. Determine b(a). -60 Let h(p) = -3*p + 7. Let s(v) = -13*v**2 - 5*v + 3. Let u be s(2). Let r = -53 - u. Suppose -r*o = -9*o + 15. Determine h(o). -8 Let j(q) = -4*q + 2. Let p = 82 + -81. Suppose 4 = 4*x - 4*o, -3*x + 5*o - p = -0. Suppose x*n = -n + 12. What is j(n)? -10 Let c(n) = -n**2 + 8*n + 13. Let b = -87 - -74. Let f be b/(-1) + -6 + 2. Give c(f). 4 Let f be 1 - (-11 - 781/(-66) - (-33)/(-18)). Let w(r) be the third derivative of r**5/60 + r**4/6 - r**3/2 - 7*r**2. Calculate w(f). 9 Let x(v) = 4*v - 1. Suppose -4 = -7*q + 24. Suppose b = 2*k - q, -k - b + 12 = b. Suppose -3*l + 5 = -k. What is x(l)? 11 Let d(x) = x**2 - 16*x - 616. Let o be d(-18). Let b(s) be the first derivative of s**4/4 + 2*s**3/3 - 5*s**2/2 + 1. Calculate b(o). -12 Suppose 2*i - 176 = -6*i. Suppose 6*k + i = 70. Suppose 3*d - k = -2. Let s(g) = -g + 2. Calculate s(d). 0 Let s(g) = g**2 - 319*g + 7054. Let o be s(24). Let x(y) = -9*y - 229. Give x(o). 5 Let c(x) = x**3 - 3*x - 4 + 4*x - 9*x - 2*x**3 + 7*x - 4*x**2. Suppose -2*b + 6 = -4*b. Let h be -6*(b - (-22)/6). Determine c(h). 0 Let h = 81 + -64. Suppose -4*w + h + 3 = 0. Suppose -2*s - 12 = 4*m, 0 = 4*s - 5*m + w + 6. Let r(n) = -2*n - 1. Calculate r(s). 7 Suppose t + 20 = 5*o, -5*t + 0*o - 2*o + 35 = 0. Let m(b) = 219*b**2 + 65*b + 20. Let y(u) = -137*u**2 - 41*u - 13. Let a(s) = 5*m(s) + 8*y(s). Give a(t). -44 Suppose 0 = -19*j - 24365 + 24384. Let u(c) = 46*c - 3. Determine u(j). 43 Let y(w) = 5*w - 1. Let s(p) = -p - 2. Let h(v) = -6*s(v) - y(v). Let x be h(-26). Let c(d) = d**2 + 14*d + 14. Calculate c(x). 1 Let s(r) = 4*r - 5 - r**2 - r - 4 + 8 + r**3. Suppose 2*m + 14 = 5*p, m + 3 + 3 = 2*p. Calculate s(p). 9 Let y(m
{ "pile_set_name": "DM Mathematics" }
s picked without replacement from pppaklnpkpka. What is prob of picking 1 k and 1 a? 1/11 Calculate prob of picking 1 s, 1 u, and 1 j when three letters picked without replacement from {u: 3, o: 4, s: 6, j: 2}. 36/455 Two letters picked without replacement from {r: 5, x: 1, f: 1, a: 3, q: 1, u: 1}. What is prob of picking 1 r and 1 a? 5/22 Three letters picked without replacement from {z: 10, d: 3, v: 2, w: 1, x: 1}. What is prob of picking 1 z and 2 v? 1/68 What is prob of picking 3 u when three letters picked without replacement from suf? 0 Four letters picked without replacement from cckkkkkcjjjcajjccjk. What is prob of picking 1 k, 1 j, 1 c, and 1 a? 18/323 What is prob of picking 1 g, 1 l, and 1 w when three letters picked without replacement from {v: 3, z: 1, w: 1, g: 2, i: 3, l: 1}? 2/165 Two letters picked without replacement from wrb. Give prob of picking 1 r and 1 w. 1/3 Two letters picked without replacement from {q: 1, k: 2, d: 2, x: 6, c: 1}. What is prob of picking 1 x and 1 q? 1/11 What is prob of picking 1 e and 1 t when two letters picked without replacement from oettetbeeb? 4/15 Three letters picked without replacement from {j: 1, n: 2, f: 4, r: 6}. Give prob of picking 2 r and 1 j. 15/286 Calculate prob of picking 1 n, 1 s, and 1 h when three letters picked without replacement from swkkkhnhwhkkp. 3/286 Two letters picked without replacement from ffffjffj. Give prob of picking 1 f and 1 j. 3/7 Three letters picked without replacement from {n: 1, s: 1, q: 1, l: 1, t: 2, w: 2}. Give prob of picking 2 t and 1 n. 1/56 Two letters picked without replacement from pftcp. What is prob of picking 1 p and 1 c? 1/5 What is prob of picking 1 q and 1 k when two letters picked without replacement from ssqkq? 1/5 What is prob of picking 3 u when three letters picked without replacement from {u: 9}? 1 Two letters picked without replacement from sssjsfjjssjfsssjjjss. Give prob of picking 2 j. 21/190 Two letters picked without replacement from {n: 1, r: 2, f: 1, v: 1}. Give prob of picking 2 r. 1/10 What is prob of picking 1 f and 1 p when two letters picked without replacement from nggpnfpggfttggn? 4/105 What is prob of picking 1 h, 1 y, and 1 c when three letters picked without replacement from {y: 3, c: 7, h: 2, n: 3}? 6/65 Calculate prob of picking 1 t and 1 h when two letters picked without replacement from {s: 1, z: 2, b: 5, f: 2, t: 3, h: 6}. 2/19 Calculate prob of picking 2 r and 1 z when three letters picked without replacement from qqqqrqqqnqqrdnzrrn. 1/136 Three letters picked without replacement from {z: 1, c: 3}. What is prob of picking 3 c? 1/4 What is prob of picking 1 k and 1 q when two letters picked without replacement from {k: 2, q: 7}? 7/18 Three letters picked without replacement from {b: 10, n: 4}. Give prob of picking 2 n and 1 b. 15/91 Four letters picked without replacement from {g: 1, p: 4, q: 3}. Give prob of picking 2 q, 1 g, and 1 p. 6/35 What is prob of picking 1 y and 3 o when four letters picked without replacement from yooooooooooooyoooy? 91/204 Three letters picked without replacement from ffsss. Give prob of picking 1 s and 2 f. 3/10 What is prob of picking 4 q when four letters picked without replacement from {q: 4, s: 6}? 1/210 Three letters picked without replacement from {f: 4, j: 7}. What is prob of picking 3 j? 7/33 Three letters picked without replacement from {u: 5, g: 3, p: 2}. What is prob of picking 1 g and 2 u? 1/4 Calculate prob of picking 1 e and 2 f when three letters picked without replacement from {f: 2, p: 1, e: 1}. 1/4 Calculate prob of picking 4 q when four letters picked without replacement from {q: 9, u: 9}. 7/170 Two letters picked without replacement from hhryhhisr. Give prob of picking 2 r. 1/36 What is prob of picking 4 o when four letters picked without replacement from oowoooowooowwowooooo? 91/323 Four letters picked without replacement from ggqgpqqqpgg. What is prob of picking 2 g and 2 p? 1/33 Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {q: 1, w: 1, i: 1, m: 1, y: 1}. 1/10 Two letters picked without replacement from hmmddmdydeddd. Give prob of picking 1 d and 1 y. 7/78 Two letters picked without replacement from bhbbbjbhbibbbh. Give prob of picking 1 h and 1 i. 3/91 Two letters picked without replacement from qqpqqqqppqpqpppq. Give prob of picking 2 q. 3/10 What is prob of picking 3 b and 1 l when four letters picked without replacement from {b: 9, l: 2}? 28/55 Three letters picked without replacement from {e: 7, w: 2}. What is prob of picking 2 w and 1 e? 1/12 Three letters picked without replacement from {n: 8, b: 4, d: 2, i: 3}. Give prob of picking 1 d, 1 b, and 1 i. 3/85 Calculate prob of picking 2 c when two letters picked without replacement from cccccaaccaccac. 45/91 Two letters picked without replacement from rtebccccrehcrec. Give prob of picking 1 t and 1 e. 1/35 Two letters picked without replacement from {l: 2, f: 2}. What is prob of picking 2 l? 1/6 What is prob of picking 1 k and 1 t when two letters picked without replacement from {t: 3, k: 1, i: 3, c: 3, e: 2, l: 2}? 3/91 Calculate prob of picking 2 z, 1 i, and 1 e when four letters picked without replacement from yiuqizeiiuuyyuzeuyuq. 8/4845 What is prob of picking 1 f, 1 r, 1 s, and 1 e when four letters picked without replacement from {n: 3, f: 2, j: 1, s: 2, r: 3, e: 1}? 4/165 What is prob of picking 1 x and 2 g when three letters picked without replacement from {u: 3, x: 2, v: 3, g: 2, q: 1, t: 4}? 2/455 What is prob of picking 1 k and 1 t when two letters picked without replacement from kkkkkktkkkktktktkkk? 20/57 Four letters picked without replacement from {i: 5, u: 2, g: 4, s: 2}. Give prob of picking 3 g and 1 s. 8/715 Calculate prob of picking 2 r, 1 n, and 1 o when four letters picked without replacement from cnrunqrrrrcnnuronn. 1/34 Two letters picked without replacement from {o: 2, v: 4, u: 4, f: 1}. What is prob of picking 1 f and 1 v? 4/55 What is prob of picking 1 m and 1 t when two letters picked without replacement from {t: 1, z: 1, v: 1, g: 2, m: 2, i: 1}? 1/14 Two letters picked without replacement from {k: 2, m: 2, x: 1, n: 6}. What is prob of picking 2 n? 3/11 Three letters picked without replacement from {t: 4, k: 3, b: 4, u: 6}. Give prob of picking 3 t. 1/170 What is prob of picking 1 j and 1 q when two letters picked without replacement from {c: 1, q: 6, j: 1, a: 9, x: 2}? 2/57 What is prob of picking 3 n when three letters picked without replacement from {n: 10}? 1 Three letters picked without replacement from {n: 8, b: 2, g: 2, p: 3}. What is prob of picking 1 p, 1 g, and 1 b? 12/455 What is prob of picking 1 e and 1 q when two letters picked without replacement from estqs? 1/10 Three letters picked without replacement from {b: 2, a: 4, e: 5, w: 4}. Give prob of picking 3 w. 4/455 Calculate prob of picking 1 e and 2 v when three letters picked without replacement from {v: 7, e: 7}. 21/52 Calculate prob of picking 2 e when two letters picked without replacement from {s: 1, e: 17}. 8/9 Three letters picked without replacement from {g: 4, u: 8, j: 1}. Give prob of picking 1 g and 2 u. 56/143 Two letters picked without replacement from {p: 2, b: 1}. Give prob of picking 2 p. 1/3 Four letters picked without replacement from {w: 4, q: 5, t: 1}. Give prob of picking 2 q and 2 w. 2/7 What is prob of picking 1 j and 1 x when two letters picked without replacement from {w: 2, e: 1, x: 1, v: 1, y: 1, j: 1}? 1/21 Two letters picked without replacement from {z: 5, d: 1, t: 3, u: 1}. Give prob of picking 1 d and 1 u. 1/45 Calculate prob of picking 1 p and 1 q when two letters picked without replacement from qvwpqcvvvcvccvv. 2/105 What is prob of picking 1 b and 1 z when two letters picked without replacement from {z: 6, b: 1, q: 2, o: 9}? 2/51 Four letters picked without replacement from xyxbxbxybbzxbyyyb. Give prob of picking 1 y and 3 b. 5/119 What is prob of picking 3 p and 1 x when four letters picked without replacement from {w: 9, a: 1, x: 3, p: 5}? 1/102 Three letters picked without replacement from {p: 4, l: 14}. What is prob of picking 3 p? 1/204 What is prob of picking 1 t and 3 w when four letters picked without replacement from {t: 4, w: 6}?
{ "pile_set_name": "DM Mathematics" }
common factor of f and 8? 4 Suppose 2*j = -3*s + 12, 2 - 12 = -5*s. Suppose u = 2*t - 64, 2*t - 60 = 4*u - u. Calculate the highest common factor of t and j. 3 Let z(q) = q**3 + 12*q**2 + 11*q - 1. Let i be z(-11). Let b = i - -3. Suppose -n = -b*n + 3. What is the highest common factor of n and 21? 3 Suppose -j + y + 19 = 0, 0*y + y + 4 = 0. Suppose -5 = -3*t + 25. Calculate the highest common divisor of t and j. 5 Suppose 5*f = 15, 4*o - 764 = -2*f - 2*f. What is the highest common divisor of o and 47? 47 Suppose 0 = r - 1, 0 = 3*z - 4*r - 90 - 143. Suppose -4*u + 367 = z. Calculate the greatest common divisor of 18 and u. 18 Let g = 24 + -1. Calculate the highest common factor of g and 23. 23 Let p be 2/(-4) - 294/4. Let t = -42 - p. Suppose -3*h + 26 - 5 = 3*d, -2*d + h = -17. What is the greatest common factor of d and t? 8 Let m(t) = -t**2 + 5*t + 3. Let l be m(5). Suppose 0 = -g + l - 0. Suppose g*z - 20 = 43. Calculate the highest common factor of z and 105. 21 Let a(g) = -g - 5. Let z be a(-7). Let d = -2 + 2. Suppose d = -2*o + 3*o - z. What is the highest common factor of 2 and o? 2 Let n(k) = k**3 - 4*k**2 + 4*k + 1. Let i be n(3). Suppose -2*w = -14 + i. Calculate the greatest common factor of w and 55. 5 Let j be (-2)/3 + 535/15. Suppose 3*h + l - j + 9 = 0, 4*h - 3*l = 26. What is the greatest common divisor of 8 and h? 8 Let q(d) = d**3 + d. Let n be q(2). Let b = n + -6. Suppose 0 = -b*j + 4. What is the highest common divisor of 11 and j? 1 Suppose 0 = 2*h - 5*h - 3. Let a be h/(-4) - (-47)/4. Let l(n) = 8*n + 12. Let i be l(9). Calculate the greatest common factor of a and i. 12 Suppose -1 = -3*y + 5*c, 4*y = 2*y + 3*c + 1. Suppose 0 = -y*l + 5*w - 0 - 4, 12 = 3*w. Calculate the highest common divisor of l and 40. 8 Suppose l = -0*l + 48. Suppose l = a + 8. Suppose t = 11 + 9. What is the highest common factor of a and t? 20 Suppose 4*t + 225 = -t. Let n be 1/(-2) - t/10. Calculate the highest common factor of n and 44. 4 Let d(z) = 2*z + 4. Let r be d(3). Let f = -23 - -38. Calculate the greatest common divisor of f and r. 5 Let f be ((-29)/(-58))/(1/2). Calculate the highest common divisor of 11 and f. 1 Let v be (15/6)/((-2)/(-36)). What is the highest common factor of 5 and v? 5 Let i = 5 - 5. Let q = i - 0. Suppose q*u - 4*u + 56 = 0. Calculate the highest common factor of 70 and u. 14 Let r(m) = 7*m**3 - m**2 + 2*m - 1. Let o be r(1). Let z(j) = 3*j**2 + j**2 - 9*j - 1 - 4. Let l be z(o). What is the greatest common factor of 16 and l? 16 Let o be (-3)/((-6)/4)*-14. Let n be 1/(-2*2/o). Calculate the greatest common divisor of 63 and n. 7 Let j(d) = 8*d - 1. Let z be j(1). Let v = -46 + 81. What is the greatest common factor of v and z? 7 Let c(w) = -5*w + 1. Suppose -4*a + g - 2*g + 4 = 0, 4*g + 3 = 3*a. Let l be c(a). Let b be (-2)/l - (-78)/4. What is the greatest common factor of b and 4? 4 Let s be 12 + 0/(4 - 3). What is the greatest common factor of s and 48? 12 Let z be 1 + -1 + 3 + -117 + 119. What is the greatest common divisor of z and 25? 5 Let z = 62 - 7. Suppose -8*f + 12*f = 44. What is the highest common factor of z and f? 11 Let d(m) = -m**2 + 18*m + 87. Let g be d(21). Suppose 17 = 3*i - 271. Calculate the greatest common divisor of i and g. 24 Let s = 12 + -7. Suppose 2*x - s*l + 2 = 0, -2*x - 8*l = -3*l - 38. What is the greatest common divisor of 63 and x? 9 Suppose 2*s = s. Suppose j - 35 = -s*j. Let p(v) = v**3 + 3*v**2 - 2*v - 1. Let i be p(-3). What is the greatest common divisor of i and j? 5 Let l(t) = -t**2 - 13*t. Let z be l(-11). Let m = -8 + z. Suppose -4*h + 12 = 4. Calculate the greatest common factor of m and h. 2 Suppose 119 = 5*g + 2*g. Let o be 2*-1 + 70/1. Calculate the highest common divisor of o and g. 17 Suppose 0 = 5*k - w - 3*w - 25, 3*w = -2*k - 13. Let v = k - 8. Let l be (1 + v)*10/(-4). What is the greatest common divisor of 10 and l? 5 Let t(b) = b**2 - 2*b + 10. Let r be t(6). Calculate the greatest common divisor of r and 136. 34 Suppose 3*y + 10 = y, -n = 2*y + 8. Suppose -4*m = -9*m + 20. Suppose 2*s + 0*s = 3*p + 28, -14 = -s - m*p. Calculate the highest common divisor of n and s. 2 Let f(u) = 6*u + 7. Let j be f(5). Let c = j + -10. What is the greatest common divisor of c and 18? 9 Let g(c) = -36*c**2 - c - 1. Let m be g(-1). Let b be (8/(-3))/(2/m). Calculate the greatest common factor of 12 and b. 12 Let l = -39 - -59. What is the highest common divisor of l and 5? 5 Let f = 305 - 172. What is the highest common factor of f and 19? 19 Suppose 2*c + 1 = 3. Let u be (c - 4)*(-11)/3. Let k = -14 - -69. Calculate the highest common divisor of u and k. 11 Let p = -2 - -7. Suppose 0*b - 2*k = -b - 1, p*k - 15 = 0. What is the greatest common factor of b and 10? 5 Let f(h) = 81*h**2 + h - 1. Let l be f(1). Let s(r) = 5*r - 1. Let a be s(2). What is the highest common factor of a and l? 9 Suppose -5*c + s + 51 = 0, 0 = -5*c - 3*s + 21 + 26. What is the greatest common divisor of c and 90? 10 Suppose -32 = -0*v - 2*v. Suppose 0 = 2*o - 3*o + 16. Calculate the highest common divisor of v and o. 16 Let r be 0 + (-19)/(-6) - 2/12. What is the highest common factor of 18 and r? 3 Let r(l) = -l - 10. Let h be r(-8). Let v be h - -1*(23 - -3). Calculate the highest common divisor of 4 and v. 4 Let d = -13 + 41. Let k = 11 - 7. Calculate the greatest common factor of d and k. 4 Let f(k) be the first derivative of -k**2/2 + 6. Let q be f(-6). Let y(s) = s + 7. Let b be y(5). Calculate the highest common factor of b and q. 6 Let d(z) = z**2 + 6*z - 15. Let f be d(-8). Let r be ((-5)/4)/(1/(-4)). Suppose -r*j + 3*j = -18. What is the greatest common divisor of j and f? 1 Let m(r) = 9*r**2 - 7*r + 4. Let q be m(2). Calculate the greatest common divisor of q and 26. 26 Suppose 10 + 14 = 4*x. Let q(s) = s**3 - 6*s**2 + 4*s - 8. Let u be q(x). Calculate the highest common divisor of u and 2. 2 Suppose 0 = -y - 4*y + 90. What is the highest common divisor of 2 and y? 2 Let y = -125 - -193. What is the greatest common factor of 17 and y? 17 Let n(o) be the first derivative of o**4/4 - 5*o**3/3 + 3*o**2/2 - 3*o - 3. Let c be n(5). What is the highest common divisor of 18 and c? 6 Let v be 2/(-6)*0 + 81. Suppose 3*q - 8 = 4*q. Let k(s) = s + 17. Let n be k(q). Calculate the greatest common divisor of n and v. 9 Let q(k) = -k**3 - 8*k**2 + 6*k + 33. Let b be q(-9). Let u be -1*2 + 24 - -1. Suppose s = u + 17. What is the greatest common divisor of b and s? 20 Let z = 2 - 3. Let q be (22/(-6))/(z/9). Suppose 0 = -j + l + q, -4*l - l - 15 = 0. Calculate the highest common factor of j and 45. 15 Suppose 0 = 3*l - 4*l. Let z = 5 - 1. Suppose -5*c - 15 = 0, -z*a + l + 19 = -c. What is the highest common divisor of a and 4? 4 Let r be 118/(12/4 - 2). What is the highest common factor of r and 59? 59 Let t be (22/44)/((-1)/(-68) + 0). What is the highest common factor of 153 and t? 17 Suppose 0 = -4*v - d + 25, -3*v - 31 = -8*v - d. Let x = v + -4. Suppose 4*q - 150 = x*l, -45 = -q - 2*l + l. What is the highest common divisor of q and 8? 8 Let g(f) = 65*f**2. Let s be g(1). Suppose 4*w - 4*u + 2 = -2, -2*u = -4*w - 4. Let k be (-2)/w + 23 + 1. Calculate the highest common factor of s and k. 13 Let i be (-28)/6 + (-2)/(-3). Let p be 6/i*1*2. Let l be 2/(2 - 3 - p). Calculate the highest common divisor of 8 and l. 1 Suppose 5*b = -3*g + 6*g + 80, 5*g + 32 = 3*b. Let o = b - 12. Let r = o + -4. Calculate the greatest common divisor of r and 21. 3 Let k(f) = -3*f**3 - f**2 + f. Let a be ((-1)/(-2))/(4/(-16)). Let t be k(a). Calculate the greatest common factor of t and 162. 18 Suppose -13*f - f + 322 = 0. What is the greatest common divisor of f and 23? 23 Let s(w) be the first derivative of -w**4/2 + w**3/3 + w**2/2 + 3*w + 2. Let o be s(-3). What is the highest common factor of o and 7? 7 Let c be (3 - 1)*3/(-2). Let h be (-2)/c*(20 - -4). What is the greatest common divisor of h and 144? 16 Suppose -6 = -3*c - 0. Suppose -c*b + 8 = -14. Let z be 134/3 + 10/(-15). What is the greatest common factor of z and b? 11 Suppose 8 = -3*t + 158. Let f(k) = -2*k - 5. Let m be f(-4). Suppose 80 = h + m*h. What is the greatest common divisor of t and h? 10 Let j(p) = -p**2 - 10*p - 12. Let n be j(-8). Su
{ "pile_set_name": "DM Mathematics" }
e 8, what is -74 - -217? 123 In base 7, what is 2 + -464? -462 In base 14, what is 8 - 1? 7 In base 10, what is -13 + -11? -24 In base 8, what is 1116 + 5? 1123 In base 9, what is 8 + -8? 0 In base 14, what is -18 + -12? -2a In base 8, what is 0 - -43? 43 In base 12, what is -13 + 320? 309 In base 10, what is 52 + -11? 41 In base 13, what is -2aa + 8? -2a2 In base 5, what is -1344 + 3? -1341 In base 8, what is -3 - -1? -2 In base 10, what is -11 + -7? -18 In base 6, what is -32 - 3023? -3055 In base 4, what is -32 + 130? 32 In base 5, what is 4 - -210? 214 In base 13, what is 38 + -4? 34 In base 11, what is 7 + -467? -460 In base 16, what is 5 - -21? 26 In base 6, what is -333135 + -5? -333144 In base 12, what is -37 - 2? -39 In base 14, what is -1 + c? b In base 2, what is -110000 + -101? -110101 In base 9, what is 2 + 126? 128 In base 2, what is 110 - 111? -1 In base 9, what is 0 - -4612? 4612 In base 13, what is -103 - -10? -c3 In base 8, what is 4 + 123? 127 In base 8, what is -3 - 1111? -1114 In base 5, what is 110040 + 1? 110041 In base 5, what is -4 + -1004? -1013 In base 8, what is -521 - -1? -520 In base 11, what is -3273 - 5? -3278 In base 16, what is -219 - -4? -215 In base 13, what is 0 - -9? 9 In base 14, what is -3 + -127? -12a In base 11, what is -7 + -32? -39 In base 5, what is -11 + 22033? 22022 In base 8, what is 4 - -1? 5 In base 4, what is 3 + -1020? -1011 In base 3, what is -1 - -100? 22 In base 9, what is -2053 + 0? -2053 In base 2, what is 0 - -1110101? 1110101 In base 15, what is -83 - 2? -85 In base 10, what is 71 + 30? 101 In base 8, what is 243 - 0? 243 In base 8, what is -1 + 5134? 5133 In base 8, what is -27 - -16? -11 In base 8, what is 176 - 3? 173 In base 3, what is 1 - -122212? 122220 In base 10, what is -1172 + -18? -1190 In base 5, what is 2 - 421? -414 In base 15, what is -3 + -cee? -d02 In base 14, what is -4 + -37? -3b In base 8, what is 163 - 13? 150 In base 5, what is -11211 + -2? -11213 In base 7, what is 0 - -251? 251 In base 8, what is -2 - -6? 4 In base 11, what is -a7 + -3? -aa In base 10, what is 150 + 0? 150 In base 3, what is -10102 - -11? -10021 In base 8, what is 571 - 15? 554 In base 8, what is 1 - -175? 176 In base 16, what is 9 + -6eb? -6e2 In base 12, what is -9 - 32? -3b In base 16, what is -3 + -9? -c In base 10, what is 3 - 872? -869 In base 7, what is 3 + 102? 105 In base 13, what is -3 + -1b6? -1b9 In base 7, what is -4051 - -2? -4046 In base 13, what is 18 + 104? 11c In base 10, what is -804 + -7? -811 In base 11, what is -12a44 - 0? -12a44 In base 8, what is -4 + -171? -175 In base 3, what is 10 + -112000? -111220 In base 9, what is -5 - -678? 673 In base 12, what is -21 - -43? 22 In base 7, what is 543 - -1? 544 In base 14, what is -7c39 - 2? -7c3b In base 15, what is 0 - 20? -20 In base 15, what is 78 - -16? 8e In base 8, what is -2 + 5445? 5443 In base 10, what is 4 + 102? 106 In base 14, what is -2 - -4? 2 In base 10, what is 0 - 5179? -5179 In base 4, what is -2 - -20210? 20202 In base 15, what is -3 - -191b? 1918 In base 5, what is 3 + 10121? 10124 In base 11, what is -8a - -a? -80 In base 10, what is 2 + 27? 29 In base 9, what is 5 - 6? -1 In base 4, what is -3 + -13321? -13330 In base 5, what is -1 - -130? 124 In base 8, what is 356 - 11? 345 In base 10, what is 24 + 62? 86 In base 7, what is -22 + 10? -12 In base 14, what is -c42 - 1? -c43 In base 9, what is 1 + -4812? -4811 In base 16, what is f - -5? 14 In base 11, what is 258 + -2? 256 In base 5, what is 41 - -224? 320 In base 15, what is -b5a + 3? -b57 In base 8, what is -41 + 6? -33 In base 11, what is -131 + -63? -194 In base 2, what is -100 + -100111110? -101000010 In base 11, what is 823 - 6? 818 In base 12, what is -1 + -12? -13 In base 6, what is -12 + 3? -5 In base 8, what is -3 - 1461? -1464 In base 9, what is -3 + 1031? 1027 In base 8, what is -6151 + 2? -6147 In base 11, what is -5 - -14a? 145 In base 13, what is 36 + -5? 31 In base 9, what is -7126 + 1? -7125 In base 13, what is 150 - -4? 154 In base 13, what is 4 + -48? -44 In base 11, what is -7 - -313? 307 In base 8, what is 3173 + 0? 3173 In base 4, what is -10 - -1232202? 1232132 In base 11, what is 96 + -2? 94 In base 9, what is -16810 + -3? -16813 In base 5, what is -444 - -14? -430 In base 11, what is 9 - 87? -79 In base 6, what is -3 + -2502? -2505 In base 2, what is 101110 - 1001001? -11011 In base 10, what is -8 - -33? 25 In base 9, what is -1 + 185? 184 In base 14, what is 0 - 1a3? -1a3 In base 4, what is 3 - 120021? -120012 In base 3, what is -100 + -2112202? -2120002 In base 10, what is -2 + 3206? 3204 In base 10, what is 13800 + 5? 13805 In base 3, what is -2100102 + 0? -2100102 In base 8, what is 121 + 2? 123 In base 10, what is -3 - 63? -66 In base 3, what is -1102 - 212? -2021 In base 6, what is 1 - -1014? 1015 In base 9, what is -20 + 6? -13 In base 9, what is 354 + 5? 360 In base 9, what is 326 - -1? 327 In base 11, what is -135 + -a? -144 In base 4, what is 113 - 121? -2 In base 6, what is -212 - -31? -141 In base 3, what is 102 + 1002021? 1002200 In base 9, what is -1408 + 3? -1405 In base 7, what is -32 + -54? -116 In base 9, what is 2 + -4225? -4223 In base 8, what is -65 + 60? -5 In base 16, what is -11 + -5? -16 In base 3, what is -101 + -201? -1002 In base 12, what is -1 + -38? -39 In base 16, what is -3f1 + -3? -3f4 In base 15, what is 3 - -197? 19a In base 11, what is -24 + 5? -1a In base 9, what is 376 + 2? 378 In base 2, what is -1 - 1000100? -1000101 In base 11, what is -18a - 0? -18a In base 4, what is -2 + -13121? -13123 In base 16, what is 5054 + -5? 504f In base 16, what is 10 + -59? -49 In base 7, what is -2 - 2436? -2441 In base 16, what is -abb + -2? -abd In base 14, what is -1b7 - 5? -1bc In base 6, what is 441 - -1? 442 In base 7, what is -5 + 1252? 1244 In base 11, what is 2 - -1795? 1797 In base 2, what is -1000000101 - 10? -1000000111 In base 16, what is 75 + -2? 73 In base 8, what is -5 - -2633? 2626 In base 6, what is -51450 - -4? -51442 In base 12, what is 3908 + -2? 3906 In base 5, what is -2 + -2? -4 In base 10, what is 214 - -9? 223 In base 10, what is 514 + -1? 513 In base 7, what is 322 - -10? 332 In base 16, what is d99 - -4? d9d In base 14, what is -7c2 + 0? -7c2 In base 14, what is -2 - -3b? 39 In base 11, what is 0 + -1062? -1062 In base 16, what is -1cc + -3? -1cf In base 4, what is 22 - -12201? 12223 In base 8, what is -115 + 5? -110 In base 14, what is -20 + -3b? -5b In base 8, what is 14 + 7? 23 In base 4, what is 3 + 1032? 1101 In base 13, what is 41 + -5? 39 In base 6, what is -10 + 101? 51 In base 8, what is -4 + -2604? -2610 In base 10, what is 3419 + -5? 3414 In base 14, what is 17c + -3? 179 In base 16, what is 1 - 2d? -2c In base 7, what is -134 + 11? -123 In base 3, what is -12 + 201? 112 In base 9, what is -4 - 283? -287 In base 12, what is -5 + 699? 694 In base 6, what is 33 + -1510? -1433 In base 9, what is -1 + 123? 122 In base 16, what is -8a2 - -1? -8a1 In base 2, what is -10110011011 - 10? -10110011101 In base 9, what is -144 - -5? -138 In base 13, what is 2c0 + 7? 2c7 In base 9, what is -1 - 446? -447 In base 9, what is -508 + 1? -507 In base 8, what is 65 - -11? 76 In base 2, what is 10 - 1101? -1011 In base 13, what is 12c9 + -1? 12c8 In base 11, what is 0 - 309? -309 In base 4, what is 1 - 220223? -220222 In base 14, what is -2a5 + 3? -2a2 In base 14, what is 55 + 4? 59 In base 16, what is -3 - 35f? -362 In base 3, what is 220 - 10102? -2112 In base 3, what is 2020 - -21? 2111 In base 13, what is 0 + -11? -11 In base 6, what is -154 - -2? -152 In base 10, what is 2 + 1234? 1236 In base 16, what is 5c + -9? 53 In base 4, what is -10 + 33322? 33312 In base 7, what is -5 - -60? 52 In base 15, what is -28a + -3? -28d In base 11, what is -5 - 157? -161 In base 3, what is 1 + -20010? -20002 In base 5, what is -10 - 32? -42 In base 14, what is -8 + c56? c4c In base 16, what is -99 + 3? -96 In base 4, what is 1310 - 1? 1303 In base 5, what is -20 + 1? -14 In base 11, what is -a77 + -6? -a82 In base 12, what is 97 - -1? 98 In base 15, what is -273 - -5? -26d In base 13, what is 2 - 11a? -118 In base 10, what is -585 - -1? -584 In base 6, what is 1 + -101? -100 In base 13, what is -10cc
{ "pile_set_name": "DM Mathematics" }
ulate r(-8). 12 Let w(z) = z**3 - 13*z**2 + 9*z - 15. Calculate w(12). -51 Let h(d) = d + 89. Calculate h(-28). 61 Let r(v) = 423*v - 5. Calculate r(0). -5 Let r(y) = 45*y**3 + y**2 + 11*y + 13. What is r(-1)? -42 Let m(f) = -690*f + 15171. Calculate m(22). -9 Let w(k) = -7*k**2 - 57*k - 7. Calculate w(-8). 1 Let c(y) = 935*y + 2809. What is c(-3)? 4 Let z(a) = -3*a**3 + 91*a**2 - 30*a + 32. Give z(30). 32 Let l(j) = -5*j**2 - 8*j + 3. Calculate l(-5). -82 Let t(x) = -64*x + 119. Determine t(2). -9 Let x(m) = 202*m**2 - 2030*m + 17. Calculate x(10). -83 Let i(p) = -3*p**3 - 17*p**2 - 411*p - 2508. Determine i(-6). -6 Let d(s) = -129*s - 815. Determine d(-7). 88 Let w(a) = 270*a + 7556. Determine w(-28). -4 Let g(b) = -3*b**3 + 185*b**2 - 115*b - 426. Give g(61). 1 Let f(v) = 80*v - 2665. Determine f(37). 295 Let u(q) = 3*q - 32. What is u(-9)? -59 Let j(h) = 8*h + 224. Calculate j(-5). 184 Let g(z) = -184*z + 3309. Calculate g(18). -3 Let z(k) = 2*k**2 + 1570*k - 6280. Determine z(4). 32 Let q(f) = -f**3 + 4*f**2 + 15*f - 11. Calculate q(-5). 139 Let k(g) = 2*g**2 - 104*g + 186. What is k(49)? -108 Let k(z) = z**2 + 20*z + 106. Give k(-5). 31 Let y(o) = -69*o - 2241. Calculate y(-25). -516 Let u(s) = -2*s**3 - 3*s**2 - 2*s - 15. Determine u(-3). 18 Let s(r) = r**2 + 36*r - 2178. Give s(32). -2 Let v(x) = -103*x + 13067. Give v(127). -14 Let h(f) = f**3 - 17*f**2 + 11*f + 80. Give h(16). 0 Let f(s) = -139*s + 21819. Calculate f(157). -4 Let q(m) = -12*m**3 + 14*m**2 - 15*m. Determine q(1). -13 Let t(c) = 8*c**3 + 160*c**2 + 2*c. Give t(-20). -40 Let m(t) = -2*t**3 - 23*t**2 + 64*t + 320. Determine m(-13). -5 Let d(l) = 179*l + 4066. Determine d(-23). -51 Let w(v) = 20*v**2 + 427*v + 142. What is w(-21)? -5 Let c(t) = 2*t**3 + 55*t**2 - 25*t + 45. Give c(-28). -39 Let h(u) = 87*u + 5470. Give h(-63). -11 Let x(r) = 201*r - 5814. Calculate x(29). 15 Let c(t) = 47*t**2 + 1738*t - 28. Calculate c(-37). 9 Let c(w) = -15*w + 218. Give c(-7). 323 Let p(u) = -u**3 + 22*u**2 - 9*u - 64. Determine p(21). 188 Let i(l) = -188*l - 814. Determine i(-3). -250 Let d(i) = 16*i**3 - 74*i**2 + 11*i - 8. Give d(4). -124 Let b(y) = -11*y**2 + 92*y + 15. Calculate b(4). 207 Let r(h) = -h + 21. Determine r(20). 1 Let p(q) = -2*q**3 - 11*q**2 + 7*q + 4. What is p(-6)? -2 Let z(n) = 55*n - 186. Determine z(7). 199 Let n(f) = -23*f + 316. Determine n(13). 17 Let q(p) = -p**3 - 3*p**2 + 13*p - 11. Determine q(-5). -26 Let j(v) = v**2 - 4*v - 6. Calculate j(6). 6 Let h(p) = -p**3 + 49*p**2 + 271*p - 60. What is h(54)? -6 Let h(g) = -g**3 + 20*g**2 - 55*g + 50. Calculate h(17). -18 Let o(y) = -y**3 + 31*y**2 - 130*y - 116. Give o(26). -116 Let v(b) = -10*b**2 + 255*b + 400. Determine v(27). -5 Let w(a) = 15137*a - 15150. Determine w(1). -13 Let n(x) = -446*x - 879. What is n(-2)? 13 Let x(b) = 9*b**2 + 10*b - 19. Determine x(-5). 156 Let a(z) = -12*z**2 + 165*z - 115. Calculate a(13). 2 Let p(s) = -864*s**3 - 5*s**2 + 5. Determine p(1). -864 Let r(u) = 1656*u + 26504. Determine r(-16). 8 Let a(q) = 69*q + 75. Determine a(3). 282 Let u(p) = p**3 - 21*p**2 - 23*p + 61. Determine u(22). 39 Let b(p) = -12*p**2 + 60*p + 123. What is b(-2)? -45 Let g(h) = 2*h**2 - 43*h - 905. Give g(-16). 295 Let u(b) = -18*b**2 - 38*b - 190. What is u(-7)? -806 Let p(s) = 4*s - 117. Calculate p(-14). -173 Let n(u) = -60*u**2 + 7*u - 6. Determine n(1). -59 Let j(u) = 800*u - 782. Calculate j(1). 18 Let a(f) = f**3 + 5*f**2 + 91*f + 709. Determine a(-7). -26 Let d(m) = 182*m + 2892. Determine d(-16). -20 Let i(y) = 2*y**3 - 112*y**2 + 12*y - 678. Determine i(56). -6 Let z(p) = -p**3 - 37*p**2 - 101*p + 3. Calculate z(-3). 0 Let g(x) = 88*x - 159. Give g(5). 281 Let y(s) = -s**2 - 5140*s - 30800. Determine y(-6). 4 Let n(c) = -c**3 - 41*c**2 + 88*c + 93. What is n(-43)? 7 Let i(b) = b**3 - 20*b**2 - 685*b + 32. Determine i(38). -6 Let h(t) = -t**3 + 26*t**2 - 4*t + 146. Give h(26). 42 Let o(b) = 16*b**3 + 11*b**2 + 13*b + 3. Give o(-1). -15 Let k(q) = q**3 - 10*q**2 - 9*q + 143. Determine k(11). 165 Let j(b) = -945*b - 6601. Determine j(-7). 14 Let m(f) = 50*f + 1282. Calculate m(-21). 232 Let v(z) = -z**2 - 4402*z + 35267. Determine v(8). -13 Let d(o) = -3*o**3 - 124*o**2 - 38*o + 115. Give d(-41). -8 Let a(u) = -u**3 + 2*u**2 + 27*u - 72. Determine a(4). 4 Let o(q) = 171*q**2 - 18*q + 4. Calculate o(1). 157 Let b(u) = -3*u**2 + 12*u + 68. Calculate b(-2). 32 Let o(d) = -4660*d - 55991. What is o(-12)? -71 Let u(k) = -51*k + 25. What is u(-3)? 178 Let l(i) = -22*i**2 + 13*i - 9. What is l(1)? -18 Let m(n) = -n**3 - 48*n**2 + 82*n + 1623. Determine m(-49). 6 Let f(r) = r**2 + 549*r - 6725. Give f(12). 7 Let w(r) = r**2 - 15*r - 87. Give w(-7). 67 Let m(y) = 97*y + 5921. What is m(-61)? 4 Let w(z) = -z + 70. Give w(16). 54 Let c(m) = m**3 + 28*m**2 - 117*m - 54. Determine c(-32). -406 Let j(q) = -32*q + 217. Determine j(5). 57 Let b(f) = -3*f**3 + 22*f**2 - 157*f + 14. Calculate b(6). -784 Let z(k) = k**3 - 8*k**2 - 36*k + 200. Calculate z(8). -88 Let b(d) = -6*d - 216. Determine b(-59). 138 Let n(j) = 30*j**3 + 13*j**2 - 33*j + 17. Determine n(3). 845 Let g(h) = -175*h + 5074. Calculate g(29). -1 Let r(t) = 4*t**3 - 4*t**2 + 8*t - 8. Calculate r(0). -8 Let o(a) = 107*a + 709. Calculate o(-7). -40 Let g(u) = -u**3 - 5*u**2 - 15*u - 44. What is g(-4)? 0 Let s(n) = 19*n**2 - 452*n + 298. Determine s(23). -47 Let l(q) = 4*q**2 + 259*q + 910. Calculate l(-61). -5 Let r(h) = 3*h**2 - 32*h + 3. Give r(7). -74 Let d(f) = -35*f + 410. Calculate d(22). -360 Let k(v) = 2*v**3 - 103*v**2 + 47*v + 138. Determine k(51). -66 Let q(h) = -h**3 + 17*h**2 - 59*h - 80. Determine q(11). -3 Let u(r) = -32*r**2 - 10678*r - 7329. Give u(-333). -3 Let u(o) = 10*o**2 + 25*o - 97. Determine u(4). 163 Let a(z) = -30*z - 334. What is a(-8)? -94 Let g(c) = c**3 - 25*c**2 - 178*c - 210. Determine g(31). 38 Let v(p) = 4*p**2 + 2*p - 271. Calculate v(8). 1 Let x(d) = -7*d**2 + 121*d - 352. Calculate x(3). -52 Let u(j) = j**3 - 23*j**2 + 30*j - 93. Calculate u(22). 83 Let d(o) = -68*o - 10. What is d(1)? -78 Let i(c) = -105*c + 229. Calculate i(2). 19 Let k(y) = -3*y**3 - 41*y**2 + 118*y + 93. What is k(-16)? -3 Let r(c) = c**3 - 2*c**2 - 37*c - 39. Determine r(-4). 13 Let g(f) = -7*f**2 + 104*f - 301. Give g(4). 3 Let p(q) = -5*q**2 + 42*q - 20. Determine p(8). -4 Let w(u) = 152*u - 1562. Calculate w(10). -42 Let o(j) = -3*j**3 + 48*j**2 - 77*j + 50. Give o(14). 148 Let q(g) = -706*g + 2135. Give q(3). 17 Let a(q) = 27*q**3 + 6*q**2 - 49*q - 56. What is a(-1)? -28 Let t(h) = 8*h**2 - 25*h + 53. What is t(-5)? 378 Let o(r) = 5*r**3 + 234*r**2 - 49*r - 111. Calculate o(-47). -17 Let y(m) = -6*m - 154. Give y(-21). -28 Let f(h) = -h**3 + 13*h**2 + 18*h + 440. Give f(16). -40 Let b(w) = w**3 + 33*w**2 - 191*w - 44. Determine b(-38). -6 Let a(x) = 1880*x - 63912. Determine a(34). 8 Let d(h) = -207*h - 19. Give d(-6). 1223 Let t(u) = -u**3 + 20*u**2 + u + 74. What is t(20)? 94 Let a(t) = -14*t**3 + t**2 - 8*t + 37. What is a(3)? -356 Let b(m) = 162*m + 287. What is b(3)? 773 Let b(v) = -5*v + 410. Give b(83). -5 Let l(g) = g**3 - 16*g**2 + 10*g + 39. Calculate l(15). -36 Let o(k) = -k**3 - 16*k**2 + 30*k + 145. Give o(-18). 253 Let w(v) = -v**2 + v + 174. Give w(-14). -36 Let r(d) = 4*d**2 - 96*d + 8. What is r(22)? -168 Let s(t) = 110*t + 145. What is s(-1)? 35 Let d(o) = 191*o + 711. What is d(-3)? 138 Let o(r) = -r**2 - 8*r + 1075. Give o(29). 2 Let v(t) = -t**3 + 21*t**2 - 10*t - 251. Give v(20). -51 Let l(p) = p**2 - 35*p - 2502. Calculate l(70). -52 Let a(r) = 3*r**2 + 165*r + 149. Give a(-54). -13 Let j(u) = 91*u + 143. Determine j(-2). -39 Let r(y) = 803*y + 3891. Give r(-5). -124 Let w(d) = 35212*d + 281695. Calculate w(-8). -1 Let t(s) = -1278*s + 11503. What is t(9)? 1 Let h(g) = -2*g**2 - 39*g - 78. Determine h(-2). -8 Let t(j) = j**3 + 54*j**2 + j - 63. Give t(-54). -117 Let j(k) = -4*k**3 + 7*k**2 + 12*k - 10. Calculate j(3). -19 Let l(r) = -70*r + 30. Give l(-1). 100 Let j(k) = -224*k + 5. Calculate j(0). 5 Let a(f) = f**3 - 43*f**2 + 42*f - 20. What is a(42)? -20 Let r(s) = -s**3 - 28*s**2 - 219*s - 516. What is r(-6)? 6 Let p(i) = 3*i**2 + 7*i + 26. What is p(-2)? 24 Let z(w) = -1227*w - 12298. Determine z(-10). -
{ "pile_set_name": "DM Mathematics" }
46 Calculate prob of sequence hh when two letters picked without replacement from {m: 6, y: 2, k: 1, h: 2, r: 5, q: 1}. 1/136 Calculate prob of sequence iti when three letters picked without replacement from iiiiiiititiiit. 55/364 What is prob of sequence xy when two letters picked without replacement from yyyuuxxu? 3/28 Calculate prob of sequence ee when two letters picked without replacement from {e: 2, s: 2, p: 1}. 1/10 Three letters picked without replacement from yjljpjpppjlfypjp. What is prob of sequence lfy? 1/840 Three letters picked without replacement from {b: 2, x: 2, z: 6, q: 1, d: 1, p: 3}. Give prob of sequence bzp. 6/455 Calculate prob of sequence xiz when three letters picked without replacement from {i: 1, m: 3, z: 2, h: 4, x: 4}. 1/273 Four letters picked without replacement from mizm. What is prob of sequence zimi? 0 Calculate prob of sequence rrn when three letters picked without replacement from nncsensarrrr. 3/110 Three letters picked without replacement from {t: 2, c: 2}. Give prob of sequence cct. 1/6 Two letters picked without replacement from {o: 4, g: 1, i: 2, p: 3, v: 1}. Give prob of sequence pp. 3/55 What is prob of sequence ex when two letters picked without replacement from {z: 5, e: 3, x: 1}? 1/24 Three letters picked without replacement from ymp. What is prob of sequence pmy? 1/6 What is prob of sequence qzzz when four letters picked without replacement from {v: 5, z: 4, q: 2}? 1/165 Calculate prob of sequence mkm when three letters picked without replacement from mmck. 1/12 Calculate prob of sequence edg when three letters picked without replacement from uergaud. 1/210 Calculate prob of sequence cc when two letters picked without replacement from acac. 1/6 Four letters picked without replacement from {z: 4, l: 3, e: 1, h: 4, a: 1}. What is prob of sequence llla? 1/2860 Four letters picked without replacement from {v: 4, i: 6}. Give prob of sequence ivii. 2/21 Four letters picked without replacement from hqqu. What is prob of sequence quqh? 1/12 Two letters picked without replacement from kbkbqqkkiikqqqbqqkk. Give prob of sequence qi. 7/171 What is prob of sequence nm when two letters picked without replacement from {m: 4, n: 1, l: 2}? 2/21 Three letters picked without replacement from cimidmm. Give prob of sequence mmi. 2/35 Two letters picked without replacement from {h: 9, x: 5}. What is prob of sequence hx? 45/182 What is prob of sequence jv when two letters picked without replacement from {j: 1, h: 3, v: 10, i: 4, p: 1}? 5/171 Calculate prob of sequence ccc when three letters picked without replacement from ccccc. 1 Calculate prob of sequence ajj when three letters picked without replacement from bjaujobjjoou. 1/110 Calculate prob of sequence ert when three letters picked without replacement from fvjttrtfetfr. 1/165 Calculate prob of sequence oxv when three letters picked without replacement from {o: 2, t: 2, a: 3, v: 4, b: 3, x: 1}. 4/1365 Calculate prob of sequence wvdp when four letters picked without replacement from {p: 2, j: 1, w: 1, v: 2, f: 5, d: 2}. 1/2145 Four letters picked without replacement from {n: 5, z: 5, c: 2}. What is prob of sequence cczn? 5/1188 Two letters picked without replacement from {d: 6, m: 2, l: 2, a: 2, w: 3}. What is prob of sequence ad? 2/35 What is prob of sequence hgg when three letters picked without replacement from gkkhkggkeh? 1/60 Calculate prob of sequence bad when three letters picked without replacement from {d: 1, a: 1, c: 1, f: 1, b: 1}. 1/60 Three letters picked without replacement from {g: 2, s: 3}. Give prob of sequence sgg. 1/10 Four letters picked without replacement from nnnnonannnovnnnvnvoa. Give prob of sequence aono. 2/1615 Calculate prob of sequence be when two letters picked without replacement from vevvebvvbbe. 9/110 Calculate prob of sequence xb when two letters picked without replacement from gjjtbbnbnxbnbxxxbt. 4/51 Calculate prob of sequence ph when two letters picked without replacement from hpppph. 4/15 What is prob of sequence wk when two letters picked without replacement from {c: 4, w: 6, b: 3, v: 3, k: 4}? 6/95 Four letters picked without replacement from {s: 4, q: 10}. Give prob of sequence sqsq. 45/1001 Calculate prob of sequence dn when two letters picked without replacement from {d: 2, n: 3, s: 1, l: 4, k: 6}. 1/40 Calculate prob of sequence lpp when three letters picked without replacement from cooocpcccocccclpcj. 1/2448 Three letters picked without replacement from {q: 2, k: 4, a: 2, r: 1}. Give prob of sequence qqk. 1/63 Calculate prob of sequence au when two letters picked without replacement from {a: 1, u: 1, k: 3}. 1/20 What is prob of sequence ch when two letters picked without replacement from {h: 1, t: 2, c: 2}? 1/10 Three letters picked without replacement from mamtatynlymt. Give prob of sequence tny. 1/220 Two letters picked without replacement from {w: 7, m: 2, c: 1}. What is prob of sequence mw? 7/45 Two letters picked without replacement from {y: 2, u: 5, a: 1, j: 5, q: 6}. What is prob of sequence aq? 1/57 Four letters picked without replacement from {y: 1, d: 2, w: 5, f: 1, p: 1}. What is prob of sequence wpww? 1/84 Two letters picked without replacement from {s: 3, j: 13, y: 1, q: 3}. Give prob of sequence qj. 39/380 Three letters picked without replacement from qkqkkkk. What is prob of sequence kkk? 2/7 Calculate prob of sequence eeee when four letters picked without replacement from eeeeettttt. 1/42 Calculate prob of sequence zgu when three letters picked without replacement from zzziizgggiuzg. 5/429 Two letters picked without replacement from {f: 1, r: 1, j: 2}. Give prob of sequence rj. 1/6 What is prob of sequence lc when two letters picked without replacement from {c: 1, s: 2, l: 1, u: 1}? 1/20 Three letters picked without replacement from {z: 10, j: 2}. Give prob of sequence jzz. 3/22 Two letters picked without replacement from {t: 3, h: 3, s: 1, l: 2, w: 2, f: 1}. What is prob of sequence tf? 1/44 Calculate prob of sequence vfvf when four letters picked without replacement from {v: 9, r: 1, f: 4}. 36/1001 What is prob of sequence yq when two letters picked without replacement from {v: 1, t: 5, g: 3, q: 2, y: 6, h: 2}? 2/57 Two letters picked without replacement from {w: 1, o: 2, k: 1, u: 3, l: 11}. What is prob of sequence uk? 1/102 Three letters picked without replacement from hooohhhhhhlolhbhhm. Give prob of sequence hml. 5/1224 Calculate prob of sequence sm when two letters picked without replacement from ssrim. 1/10 What is prob of sequence cc when two letters picked without replacement from ttctcccccctctccc? 11/24 What is prob of sequence podo when four letters picked without replacement from {o: 2, d: 1, p: 1}? 1/12 Four letters picked without replacement from hhqhhbqbhqhhhboboh. What is prob of sequence hhqb? 1/85 Three letters picked without replacement from {k: 1, h: 1, m: 2, f: 1, z: 1, s: 2}. Give prob of sequence mmz. 1/168 What is prob of sequence le when two letters picked without replacement from egeoxliigxliogil? 1/40 What is prob of sequence dfx when three letters picked without replacement from {g: 3, f: 3, x: 3, d: 1, e: 1}? 1/110 What is prob of sequence jejj when four letters picked without replacement from {j: 3, e: 15}? 1/816 What is prob of sequence ixi when three letters picked without replacement from {q: 3, x: 4, i: 5}? 2/33 Three letters picked without replacement from ljbtdgd. Give prob of sequence jdb. 1/105 Calculate prob of sequence twxx when four letters picked without replacement from wxxxxwxxxxwwxwwwwxt. 5/646 What is prob of sequence krkk when four letters picked without replacement from {r: 1, k: 14}? 1/15 Calculate prob of sequence fff when three letters picked without replacement from fffffggffgfggf. 3/13 Four letters picked without replacement from {z: 1, o: 1, t: 7, r: 8}. What is prob of sequence ooor? 0 Calculate prob of sequence xzd when three letters picked without replacement from dcbxbcaxz. 1/252 What is prob of sequence dkd when three letters picked without replacement from dkkkdkkkkkk? 1/55 Calculate prob of sequence nvnv when four letters picked without replacement from {v: 8, n: 3}. 7/165 What is prob of sequence yy when two letters picked without replaceme
{ "pile_set_name": "DM Mathematics" }
= -u**3 - 18*u**2 - 32*u + 4. Let l be p(-16). What is the third derivative of 16*c**3 + 21*c**3 + 40*c**2 - 39*c**3 - 15*c**l wrt c? -360*c - 12 Let y(c) be the third derivative of -97*c**5/60 + 242*c**3/3 + 204*c**2 - c. Differentiate y(m) wrt m. -194*m Let f(z) be the third derivative of 77*z**5/60 - z**4/12 - z**3/3 - 4*z**2. Let h be f(-1). What is the derivative of 60 + 4*r**3 - h + 22*r**3 wrt r? 78*r**2 Let k(s) be the first derivative of -415*s**4/2 - s**3/3 + 113*s**2/2 - 155. What is the third derivative of k(i) wrt i? -4980 Let i(t) be the second derivative of 946*t**6/15 - t**3/6 - 553*t**2/2 - 933*t - 1. What is the second derivative of i(s) wrt s? 22704*s**2 Let w = -291 + 294. What is the third derivative of 2159*l**3 - l**2 - 2102*l**w - 5*l**2 wrt l? 342 Let a(p) = -p**3 + 22*p**2 + 24*p - 1. Let u be 0/(-2) + 25 + -2. Let v be a(u). What is the second derivative of 9*n - v*n + 20*n**4 + 6*n wrt n? 240*n**2 Let t(j) = 4*j + 56. Let f be t(5). Differentiate 3*l**2 + 76*l - 25 - f*l with respect to l. 6*l Let r(t) = 5*t**3 + 5*t**2 - 3*t - 1. Let x be r(1). Find the second derivative of -k - 3607*k**3 + x*k + 3631*k**3 - 2 wrt k. 144*k Find the second derivative of -1018*d**2 - 3*d - 4458 + 8912 - 4456 wrt d. -2036 Let r(j) = -j**3 + 11*j**2 - 10*j + 3. Let a be r(10). Suppose 5*u + 2 = a*y - 2*y, y + 5*u - 52 = 0. Differentiate 18*n - 13*n - 12 - 3*n + y*n wrt n. 29 Let a(b) = -144*b**3 - 144*b. Let f = -223 + 219. Let n(k) = 72*k**3 + 71*k. Let v(u) = f*a(u) - 9*n(u). Find the second derivative of v(d) wrt d. -432*d What is the derivative of -z**3 - 3438 - 9*z + 827 + 448 + 167*z**2 - 2926 wrt z? -3*z**2 + 334*z - 9 What is the third derivative of -9180*x**3 - 1 - 5*x**4 + 3*x**4 + 6*x**4 + 9633*x**3 - 1287*x**2 wrt x? 96*x + 2718 What is the third derivative of -1790*b**3 - 43*b**2 - 2980*b**3 + 418*b**3 - 3 - 2*b wrt b? -26112 Let z(n) = n**2 - 2*n - 42. Let p be z(6). Let u be (-47)/(-5) + p/(-30). Find the third derivative of -35*x**2 + 17*x + 13*x**5 - 27*x + u*x wrt x. 780*x**2 Let q(n) be the first derivative of 45/4*n**4 + 147*n + 0*n**3 + 0*n**2 + 139. Find the first derivative of q(v) wrt v. 135*v**2 Suppose -5402 = -3*q - 5*u, -q - 1797 = -2*q + 2*u. What is the first derivative of -1742*k - 17 + q*k - 48 wrt k? 57 Let f(n) = 471*n**4 + 4*n**3 + 4*n**2 - 1405. Let h(j) = -3*j**4 + j**3 + j**2. Let y(r) = -f(r) + 4*h(r). What is the first derivative of y(b) wrt b? -1932*b**3 Let s(v) be the first derivative of 13*v**4/4 + 52*v**3/3 + 383*v**2/2 - v - 6086. What is the second derivative of s(c) wrt c? 78*c + 104 Let q = 17 - -18. Suppose 2*b = -2*j - j + q, -3*j + 2*b = -19. Differentiate -17*u**2 - 8 - 2 + j - 24 with respect to u. -34*u Let p(k) be the first derivative of -1835*k**4/2 - 1424*k + 2074. Find the first derivative of p(y) wrt y. -11010*y**2 Let u(h) be the third derivative of -551*h**5/20 + 179*h**4/24 + 2*h**3 - 323*h**2 + 2*h. What is the second derivative of u(v) wrt v? -3306 Let q(w) = -344*w**4 - 695*w**2 + 2*w. Let r(t) = 690*t**4 + 1388*t**2 - 5*t - 1. Let u(x) = -5*q(x) - 2*r(x). Find the third derivative of u(y) wrt y. 8160*y Suppose a - 3*r = -12, 4*r - 1 - 7 = 4*a. Let f be 15 - ((-2)/(-1) + a). Find the second derivative of -2*j + f*j**3 - 8*j - j + 11*j**3 wrt j. 126*j What is the second derivative of 595*h**2 - 44*h**2 + 2*h**3 + 191*h**2 + 0*h**3 + 207*h wrt h? 12*h + 1484 Suppose -31 = -12*a + 5. Suppose 0 = -q + 5*q - 36. What is the second derivative of 10*g**5 + a*g**5 + q*g**5 + 19*g wrt g? 440*g**3 Let y(x) = -1332*x**2 - 10*x + 18. Let o(l) = -665*l**2 - 4*l + 9. Let z(p) = 5*o(p) - 2*y(p). Find the first derivative of z(d) wrt d. -1322*d Let n(k) be the third derivative of -k**9/252 + 877*k**7/105 + 72*k**5/5 + 3*k**2 - 564*k. Find the third derivative of n(v) wrt v. -240*v**3 + 42096*v Let z = 83 - 177. Let u be -1 - z/8 - (-33)/(-44). Find the second derivative of -2*m + u*m**5 + 21*m + 12*m wrt m. 200*m**3 Find the first derivative of 21038397*y**2 - 21038397*y**2 - 1457*y**4 - 2223 wrt y. -5828*y**3 Let j = 224 - 222. Find the third derivative of -5 + 62*n**3 - 42 - j - 42 - n**2 wrt n. 372 Suppose 7*r - 38 = 11. What is the second derivative of -11*u**3 - r*u + 35*u - 2*u**4 + 26*u - 3*u**3 wrt u? -24*u**2 - 84*u Let p(v) = -6*v**2 - 4*v + 10. Let f be p(-3). Let b = f - -36. What is the second derivative of 38*h - 3*h**b + h**4 - 13*h + 8*h**4 wrt h? 72*h**2 Let l be 2 + -1 + (15 - -2). Let n = l + -5. What is the first derivative of 6*q**2 + 4*q - n*q**2 - 34 - 4*q wrt q? -14*q Let z(l) be the second derivative of -1283*l**6/30 - 5*l**4/6 + 2*l**2 + 250*l + 1. What is the third derivative of z(r) wrt r? -30792*r Let k(v) = 294*v**3 + v**2 + 33*v + 460. Let u(g) = -588*g**3 - 2*g**2 - 61*g - 918. Let x(i) = -11*k(i) - 6*u(i). Find the second derivative of x(t) wrt t. 1764*t + 2 What is the second derivative of -a**5 - 113*a**3 + 20285*a + a**2 + 295 - 12426*a - 295 wrt a? -20*a**3 - 678*a + 2 Let m = 9 - 2. Suppose -1545 = -8*t - m*t. Find the third derivative of -37*n**2 - t*n**3 - 74*n**3 + 137*n**3 wrt n. -240 Let d(x) be the first derivative of -5999*x**2/2 - 2789*x - 8217. Find the first derivative of d(f) wrt f. -5999 Suppose 0 = 2*r - 15*t + 14*t - 26, 5*t = -10. Let f(v) = v - 3. Let q be f(5). What is the second derivative of 20*x - 5*x**2 + r*x**2 + 7*x**q wrt x? 28 Let t(d) = -525*d**2 + 2*d - 6. Let j(u) = 1051*u**2 - 8*u + 13. Let z(n) = -2*j(n) - 5*t(n). What is the second derivative of z(a) wrt a? 1046 Suppose 2*j - 28 = -4*p, -3*p + 1 = -2. Differentiate -33 + 0*y**3 + j*y**3 + 6*y**3 + 28*y**3 wrt y. 138*y**2 Let t(m) be the first derivative of 0*m**5 + 0*m - 4*m**2 - 3/2*m**6 - 2/3*m**3 - 13 - 1/2*m**4. What is the third derivative of t(c) wrt c? -540*c**2 - 12 Differentiate 2693*q - 2759 + 0*q**2 - 2101*q - q**2 - 4945 - 2*q**2 wrt q. -6*q + 592 Let a = -59 + 61. Let p(f) = 7*f**3 - 4*f**2 - f + 1. Let z be p(a). Differentiate -26 - 13 + z*k**4 + 15 - 23 wrt k. 156*k**3 Find the second derivative of -3167 + 1155*o - 15*o + 3167 - 544*o**2 wrt o. -1088 What is the derivative of -4893 - 4529 + 8655 + 3753*m wrt m? 3753 Let o(a) be the second derivative of -97*a**5/20 - a**4/4 + 135*a**3/2 - 2828*a. Find the third derivative of o(h) wrt h. -582 Let l(h) be the third derivative of -83*h**7/105 - h**5/12 - 1091*h**3/6 + 2893*h**2. Differentiate l(m) wrt m. -664*m**3 - 10*m Let i be (1/(1/57))/1. Let o = -39 + i. Find the second derivative of -18*l - 17*l**2 + 24*l - o*l wrt l. -34 Let g = -266 - -281. Find the second derivative of 297*b + 4*b**3 - 8 - 6 + g*b**2 - 294*b wrt b. 24*b + 30 Let y(w) be the second derivative of -59*w**7/2 - 1933*w**4/4 - 1459*w. What is the third derivative of y(b) wrt b? -74340*b**2 What is the second derivative of -425639 - 425725 + 850755 + 9695*c**3 + 2*c wrt c? 58170*c Let q(r) be the first derivative of 0*r**3 - 67 - 95*r + 0*r**4 + 0*r**2 + 93/5*r**5. What is the first derivative of q(n) wrt n? 372*n**3 Let r(w) be the second derivative of w**4/3 - 2*w**3/3 + w**2 - 2*w. Let x be r(2). What is the derivative of -8 + 8*q**4 + 0*q**3 + 0*q**3 - x*q**4 wrt q? -8*q**3 Let k = 3386 + 2744. Suppose -k = -5*m + 4*z, 0 = -5*m - z + 3*z + 6120. What is the third derivative of m*j - j**5 - 1222*j + 4*j**2 wrt j? -60*j**2 Let x(q) be the first derivative of 680*q**3 - 2*q**2 + 141*q - 4978. What is the second derivative of x(l) wrt l? 4080 Let q be 44/(-154) + (-158)/42*-3. Find the second derivative of -2*k**2 + 61*k + 17*k + 16*k**2 + q*k**2 wrt k. 50 Suppose -4*g + c + 88 = 0, 0 = -c + 3 - 7. Let a(d) be the first derivative of 10*d + 0*d**2 - 4*d**2 + 22 + g*d**2 - 17. Differentiate a(m) wrt m. 34 Let r(s) = s + 1. Let h be r(-3). Let m be (364/42)/(h/(-3)). What is the second derivative of 4*c**5 - m*c - 4*c**5 - 9*c - 6*c**5 wrt c? -120*c**3 Let z(y) be the third derivative of 139*y**4/3 - 166*y**3 - 28*y**2 + 8. What is the first derivative of z(m) wrt m? 1112 Let y(c) be the third derivative of 723*c**5/10 + 733*c**4/8 + c**2 - 2414*c. What is the second derivative of y(s) wrt s? 8676 Let l(p) = -p - 3. Let z be l(-8). Suppose -2*c + c + z*r + 8 = 0, 0 = 5*c - 2*r - 63. Find the first derivative of 12 + 38 - c + 2*n + 6 w
{ "pile_set_name": "DM Mathematics" }