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c)*(-52*c**2 - 1740*c + 1740*c) as n*c**4 + g + j*c**2 + r*c**3 + z*c and give n. -104 Express 68*p**2 - 16*p**2 - 21*p**2 + 1 - 20*p**2 as w + o*p**2 + m*p and give o. 11 Express -5 - 6 - 80*q - 2 + 12 as t + m*q and give m. -80 Rearrange 4*c - 4*c + 4*c + 7*c to q*c + u and give q. 11 Express ((-k + 5*k - 2*k)*(3 - 2*k - 3) + 0*k**2 - 4*k**2 + 5*k**2)*(3*k**2 + 4*k**2 - k**2) as o*k**3 + t*k**4 + x + w*k**2 + r*k and give t. -18 Express -21 - 15*z + 8*z + 10*z in the form k + y*z and give k. -21 Express (-y**3 - 2*y**3 + 2*y**3 + (-y**2 - 3 + 3)*(2*y - 5 + 5) + 4*y**3 - y**3 + 5*y**3)*(-4 + 2 + 0) in the form o*y**2 + d*y**3 + i + f*y and give d. -10 Express (-4 + 0 + 2)*(3 - 2 + 2)*(1 - 1 - 3*r**2)*(1 - 1 - 2*r**2) as a*r**4 + w + x*r**3 + c*r + n*r**2 and give a. -36 Rearrange 7*i - 3*i + 2*i + i to x + d*i and give d. 7 Express (3*t - 9*t - 8*t)*(0 + 5*t**2 - 1 - 3*t**2) in the form k*t**3 + v*t**2 + h + j*t and give v. 0 Express 35*f**4 + 2*f**3 + 28*f**4 - 57*f**4 - 2 in the form j*f**3 + x*f + q*f**4 + b*f**2 + c and give j. 2 Express (0 + 0 + n)*(-n + n + n) - 5*n**2 + 5*n**2 - 13*n**2 + (2*n + 2*n**2 - 2*n)*(5 + 1 - 5) as k + x*n**2 + o*n and give x. -10 Rearrange 13*a**2 + 55*a - 55*a to l*a**2 + d + c*a and give l. 13 Express (3*c + 0 + 0)*(-3*c + c - 2*c) + 3*c**2 - 2*c**2 - 3*c**2 + (-5 + 2*c + 5)*(-2*c + c + 3*c) + 2*c**2 + 2*c**2 - 2*c**2 as k + u*c**2 + t*c and give u. -8 Express 35*t - 19*t + 15 - 17*t in the form q*t + h and give h. 15 Rearrange 5*l - 3*l**2 - 3*l**4 - l - 3*l + 0 + 2 + l**3 to the form o*l**3 + g + p*l + b*l**4 + w*l**2 and give p. 1 Rearrange (-1 + 1 - 1)*(-3*m + 0*m + 4*m) - 4*m + 7 - 7 - 1 + 1 + 2*m + (1 + 5 - 5)*(-m + 5*m - 3*m) to the form l + f*m and give f. -2 Express (13 - 13 - 6*m**2)*(0*m + m - 2*m) - 2*m**3 - m**3 + 4*m**3 as n*m + z*m**2 + r*m**3 + q and give r. 7 Express 28*o**3 - o**2 + o**2 - o**2 - 7*o**3 in the form v + r*o**2 + f*o**3 + y*o and give v. 0 Rearrange -2*d**3 - 4*d**4 + 52*d**2 + 2 - 27*d**2 - 27*d**2 to s*d**3 + k + y*d**2 + u*d + q*d**4 and give k. 2 Express (-3*u**2 - u**2 + 2*u**2)*(30*u + 33*u + 36*u) in the form d*u**2 + v*u**3 + x*u + l and give d. 0 Express (4 - 4 - 2*f**3)*(-98*f + 175 - 175) in the form l*f**2 + x*f**3 + j*f + y*f**4 + m and give y. 196 Rearrange (3 - 3 + 2*r**2)*(1 - 2 + 4)*(30 + 59 - 20) to q + v*r**2 + s*r and give q. 0 Rearrange -39 + 2*l - 153*l**2 - 2*l + 40 to i + u*l**2 + m*l and give i. 1 Express 10*l**2 - l**3 + 7*l**4 + 5*l**4 - 11*l**4 as k*l**2 + u + p*l**3 + h*l**4 + v*l and give k. 10 Express (-1 + 1 - d)*(-49*d**2 - 3*d + d + 66*d**2) in the form r*d + z*d**3 + v*d**2 + j and give v. 2 Express (-3*q + 3*q - q)*(-35*q**2 + 12*q**2 - 82*q**2) - q**2 + q**2 - q**3 as t*q**2 + x + d*q + c*q**3 and give c. 104 Express i**3 + 2*i**3 + 6*i**3 + (0*i**2 - 3*i**2 + 0*i**2)*(-i + i + 2*i) as d*i**2 + w*i**3 + v + p*i and give w. 3 Rearrange ((-3 + 0 + 1)*(0*j**2 - 2*j**2 + 0*j**2) - 6 - 5*j**2 + 6)*(2*j**2 - 1 + 2*j**2 - 8*j**2) to the form i*j + w*j**4 + o + v*j**3 + y*j**2 and give y. 1 Express (-165*x + 18741 - 18741)*(0 + 2 - 1) as u + r*x and give r. -165 Rearrange -2*x**2 + 38*x**2 - 2 + 2 to the form c*x + t*x**2 + v and give t. 36 Express -6 - 39*r**4 + 2*r + 6 - 32*r**3 + 41*r**4 as b*r + j*r**4 + s*r**2 + v + k*r**3 and give b. 2 Express (4 - 3 + 13)*(-9*l - 1 + 1) in the form s*l + c and give s. -126 Rearrange 2*k**2 + 6*k**4 + 4 - 7*k**4 - 4*k**2 + 2*k**3 + 0 to b + d*k**2 + y*k + q*k**4 + x*k**3 and give y. 0 Express -2*c**3 - 1 + 1 + (-6 + c**2 + 6)*(-2*c - 3 + 3) - 3*c**2 + 5*c**2 + c**3 - 10*c**2 as q*c**2 + g*c**3 + f*c + d and give d. 0 Express 11 + 6 - 17 - 24*p in the form z*p + d and give d. 0 Rearrange (-1022 - 40*q + 1022)*(q - 1 + 1)*(-1 + 1 - q) to the form v*q**3 + c*q + p + z*q**2 and give v. 40 Rearrange g**2 - 2 - g - 3*g + 2 to the form l*g**2 + s + u*g and give u. -4 Express (-6*o**2 - 5*o**2 - 4*o**2)*(-o + 1 + 1 + 0) in the form y + d*o + i*o**2 + x*o**3 and give x. 15 Rearrange 27*o + 0*o**2 + o**2 - 35*o to n + g*o**2 + k*o and give k. -8 Express -2*k**3 + 2*k - 1 - 3*k**2 + 4*k**3 - 4*k**3 + 2*k**2 as h*k + d*k**3 + l*k**2 + g and give l. -1 Rearrange (-1 + q**2 + 1)*(-3 + 4 + 1) + (3*q - 7 + 7)*(-q + q + q) to the form g + b*q + o*q**2 and give o. 5 Rearrange -39 - 36 + 32*d**2 + 75 to the form t*d**2 + i*d + a and give t. 32 Rearrange -8*g**3 - 1 + g**4 + 4 + 0*g**4 - 1 to w + f*g**4 + c*g**3 + m*g + x*g**2 and give c. -8 Rearrange -3*a - 2*a**3 + 31*a**2 + 2*a + 12*a**2 + 2*a to s + m*a**2 + v*a**3 + j*a and give s. 0 Express s**2 + 123*s - 2*s**3 + 4 - 111*s - 4 as k + j*s**3 + f*s**2 + x*s and give x. 12 Express 2*t**3 - 47*t - t**3 + 18*t in the form z*t + g*t**2 + f*t**3 + o and give z. -29 Rearrange 2 + 2*o - 5*o**4 - 2 - 1 + 6*o**4 to t*o**2 + p*o**4 + f*o + a + v*o**3 and give f. 2 Rearrange (-m + 15*m**3 + m)*(-1 + 2 - 2) + 2*m**3 + 3*m**3 - 4*m**3 to the form b*m**3 + z*m + t + o*m**2 and give b. -14 Rearrange 2*y - 4*y - 6*y + 4*y to the form h*y + p and give h. -4 Express -41 + 41 - 28*i**2 as b + o*i + n*i**2 and give n. -28 Rearrange 5 + 3 - 8 - j - 8*j**2 to k*j + m*j**2 + q and give k. -1 Express -2*p - 115*p**2 + 2 + 126*p**2 + 2*p in the form i + c*p**2 + q*p and give c. 11 Express -b + 2*b + b**2 - 3*b as h*b + s*b**2 + c and give s. 1 Express -11 + 27*i**3 + 4*i**4 - 2*i - 3*i**4 + 2*i**2 + 11 in the form s*i**4 + w + r*i + l*i**2 + a*i**3 and give r. -2 Express -14*h**4 + 9*h**4 + 4*h**4 - h**3 + 2*h as n*h**2 + o + p*h**4 + d*h**3 + k*h and give p. -1 Express 5*h**3 + h**4 - 4 - 5*h**3 + 3 + 43*h**2 - 2*h**3 as r + w*h + o*h**4 + m*h**2 + q*h**3 and give r. -1 Rearrange -145*j + 145*j + 28*j**3 + j**3 + 2 - 2 + 2*j**3 + 3*j**3 - 3*j**3 + (j - j - 2*j)*(0*j + 0*j - j**2) to o*j + s*j**2 + r*j**3 + i and give r. 33 Rearrange -2 + 2 + 2*s + (-2 + 1 + 3)*(-4*s + 0*s + 2*s) + 2*s - 2 + 2 + 1 - 1 - 2*s - 11*s + 14*s + 19*s + 17*s to c + w*s and give w. 37 Express (25*x + 8*x - 14*x)*(-4*x - 3 + 2*x + 2) as k + w*x**2 + i*x and give w. -38 Express 4*f - 2*f**2 - 4*f + 6*f**2 + f in the form j + i*f + y*f**2 and give i. 1 Express (-2 + 2 + 2*r)*(-2*r - 2*r + 0*r) + r**2 + 3*r - 3*r in the form f*r**2 + n*r + a and give f. -7 Rearrange (4*k + 0*k + 0*k)*(12 - 2 - 1) to n*k + x and give n. 36 Express 27*m + 25*m - 4 + 4 as l + k*m and give k. 52 Express 2*s + 22*s + 35*s in the form h + w*s and give w. 59 Rearrange -4*v + 12*v - v to the form q*v + d and give q. 7 Express 3*l**2 - 6*l**2 + 4*l**2 + (0*l - 2*l**2 + 0*l)*(4 - 4 - 1) + 18*l**2 - 10*l + 10*l as p*l**2 + h*l + o and give p. 21 Express ((-2*s + 4 - 4)*(20 - 7 + 79) - s - s + 0*s)*((3 - 4 + 3)*(0*s - s - s) - 2 + 2 - 2*s) as u + k*s**2 + d*s and give k. 1116 Rearrange -6 + 7 + 51*h - 1 to the form s*h + y and give s. 51 Express s**2 - 2*s**4 - s**2 + (3*s**2 - 10 + 10)*(-5*s**2 + 4*s**2 + 2*s**2) + 2 - 3*s**4 - 2 as v*s + n*s**4 + w*s**3 + x*s**2 + a and give n. -2 Express -2*d + 2*d - 2*d + (5*d - 6*d + 3*d)*(0 + 4 - 2) + d + 2*d - 4*d as j*d + l and give j. 1 Express 5*x**2 + 5*x**3 - 2*x**3 - 5*x**3 in the form t + u*x + g*x**3 + s*x**2 and give s. 5 Rearrange -5 + 7 - 3*j**3 + 4*j**3 - 3*j**3 - 6*j to g*j**3 + u + p*j**2 + s*j and give s. -6 Rearrange 140 - 140 - 5*g**2 to d*g + n*g**2 + l and give n. -5 Express 0*z**3 + z**3 - 3*z**3 + (2*z - 2*z + 5*z)*(-4*z**2 + 0*z**2 - z**2) + 3*z**2 - 3*z**2 - 2*z**3 in the form h + u*z**2 + w*z**3 + g*z and give w. -29 Rearrange (4 - 2*h**3 - 4)*(-2 + 1 - 1) to the form t*h**2 + j*h**3 + d*h + a and give j. 4 Rearrange 2 - 3*h + 6*h + 3 - 1 to the form l + t*h and give l. 4 Express -3*t**2 + t**3 - t + t - 3*t**3 + 3*t as y*t**2 + k + z*t + r*t**3 and give y. -3 Express -4*f**2 - 9 - 3 + 2*f**4 + 2*f**3 + 6*f**2 + 3 in the form n*f**3 + r*f + g*f**2 + w*f**4 + k and give w. 2 Rearrange -17*c**3 - c + 18*c**3 - c**2 - 6*c**2 + 2*c to w + s*c**2 + l*c + t*c**3 and give l. 1 Express (m**2 - 5*m**2 - 6*m**2 + (1 - 2 + 0)*(0*m**2 + 4*m**2 - m**2))*(4*m - 4*m - m) - 2*m**3 + 3*m**3 - 4*m**3 as u + w*m**2 + l*m**3 + p*m and give l. 10 Express (y + 12*y + 3*y)*(0 + 4 + 0) in the form o + s*y and give s. 64 Rearrange (-7 + 7 + 2*m)*(-7 + 4*m**3 + 7) to the form i*m**3 + p + y*m**4 + v*m + z*m**2
{ "pile_set_name": "DM Mathematics" }
-0.1, -2 Let o = 26 + -25.7. Let c = 75/352 - 1/32. Put o, c, 2/3 in increasing order. c, o, 2/3 Let m = -37 + 17. Let i = m - -16. Let z = -5 + 5.4. Put 2, z, i in decreasing order. 2, z, i Let l(k) = -k**2 - 3*k - 2. Let n = -3 + 1. Let m be l(n). Let s = 0.02 + 3.98. Put s, -5, m in descending order. s, m, -5 Let q = 16.9 - 17. Sort 5, q, 2, 1. q, 1, 2, 5 Let d = -4 + 2. Let a = 8 - 2. Let r = -9 + a. Put 1/3, r, d in descending order. 1/3, d, r Suppose 0 = -6*o + 5*o + 4. Suppose -t - m + 2*m = 0, -4*t - 18 = 2*m. Sort 1, t, o in increasing order. t, 1, o Suppose 0 = 2*a + 14 - 6. Sort 9, 3, a in decreasing order. 9, 3, a Suppose 5*g + 4*i + 1 - 17 = 0, 3*i - 1 = -g. Put 5, g, 1 in ascending order. 1, g, 5 Let k = 0.3 + -2.3. Let t be 4/6 + (-128)/(-6). Suppose -4*c + v - 3*v + t = 0, 0 = -5*c + 3*v. Sort c, -3, k in increasing order. -3, k, c Let f be 112/10 - (-2)/(-10). Sort f, -0.4, 2/3 in descending order. f, 2/3, -0.4 Let q be (-3 - (-24)/9)*-121. Let h = 41 - q. Put h, -3, 4 in decreasing order. 4, h, -3 Let f = -49/45 + 6/5. Put 1/4, -0.4, f in descending order. 1/4, f, -0.4 Let a = -30 - -32. Put 9, a, -2 in descending order. 9, a, -2 Let u = -0.22 - 0.08. Let k = 149 - 156.9. Let w = k + 8. Put w, u, -2/9 in increasing order. u, -2/9, w Let n = -220 + 222. Sort n, 4, 15 in descending order. 15, 4, n Suppose 21 = 4*r + 1, 0 = 3*w + 5*r - 16. Let m be 39/(-9) + (-6 - -3)/(-9). Sort 5, w, m in decreasing order. 5, w, m Let j be 1/((2 + 33)/(-5)). Put 3/5, -2/5, j in decreasing order. 3/5, j, -2/5 Let y = 29 - 17. Let a = y + -17. Let t = 0.61 - 0.71. Put t, -4, a in decreasing order. t, -4, a Let i be (-3)/2*8/(-3). Let k be 0/2*(-2 + 1). Suppose 2*y + k = i. Sort y, -0.3, 0.3 in decreasing order. y, 0.3, -0.3 Suppose -15 = 4*t - t, -4*f - 29 = 5*t. Sort f, 4, -1/6 in ascending order. f, -1/6, 4 Let o = 59 + -57. Sort 0, -10, 5, o in increasing order. -10, 0, o, 5 Let s(k) = k**2 + 3*k - 2. Let p be s(-3). Let q be 1/(-5) - (-24)/45. Suppose -9*z + 30 = -6. Sort q, z, p in increasing order. p, q, z Let w be (-1)/(-2)*2*0. Let i = w + -1. Suppose 0 = -15*f - 2 + 32. Sort 1, f, i in descending order. f, 1, i Suppose 5*v + 13 = -4*w, 3*v + 4 + 11 = 0. Suppose w*r = r. Let c be (3 + -1 + r)*-2. Put 3, c, 2 in increasing order. c, 2, 3 Let q = -64.95 - -67. Let r = 0.05 - q. Let l = 54 - 49. Sort 2, l, r. r, 2, l Let n = 2 - 1. Let x be (9/6 - 2)*0. Sort n, x, 2 in descending order. 2, n, x Let y = -83 - -1575/19. Sort 1/3, y, -3, -6 in increasing order. -6, -3, y, 1/3 Let d = 0.254 + 0.146. Sort 2/3, d, -3, -2 in descending order. 2/3, d, -2, -3 Let n = 2.4 - -2.6. Put 0.4, n, 0 in descending order. n, 0.4, 0 Let b be 1/15 + 39/65. Let x = 0 - 0. Put b, x, -1 in descending order. b, x, -1 Let j = 0.055 + -4.955. Let n = -0.1 + j. Sort n, 1/5, 2. n, 1/5, 2 Let c = -10 - -10.1. Sort 0.4, 0.5, c, -1/2 in ascending order. -1/2, c, 0.4, 0.5 Let z(k) = -2*k**3 + k**2 - 1. Let j be z(-1). Let y = -0.5 - -0.9. Sort -0.4, y, j in decreasing order. j, y, -0.4 Let g(y) = 2*y + 21. Let q be g(-9). Let z(i) = i**2 + 3*i + 3. Let c be z(-3). Let d = c - q. Put -1, 0.3, d in decreasing order. 0.3, d, -1 Let p = 25 + -23. Let q = 1.8 - 2. Put 0, p, q in descending order. p, 0, q Let u be 60/(-690) + 180/(-46). Let v be (-6)/4 + 2/(-4). Let p = v + 2. Sort 2, u, p in increasing order. u, p, 2 Suppose -20 = -3*u - 5, 5*u - 29 = -2*c. Let o = -3 + 2. Let l be o - (32/(-10) + 2). Sort l, 0.1, c in descending order. c, l, 0.1 Let q = 3.1 - 3. Let h = 4.6 + 0.4. Put h, q, 2 in decreasing order. h, 2, q Let f be (-2)/3 - 2/6. Let a = -1 - f. Suppose 20 = -16*z + 6*z. Sort a, -5, z in decreasing order. a, z, -5 Suppose 0 = -7*m + 2*m + 20. Let g = -2 + 0. Put m, -1, g in decreasing order. m, -1, g Let s be (3/(-2))/(2/4). Let f be (-2)/(-4) - (-55)/10. Let t be 18/(-4)*(-4)/f. Sort s, -5, t in ascending order. -5, s, t Let i be (6/(-8))/(2/24). Let b = i - -5. Let r(t) = -t**3 + 9*t**2 - 7*t - 9. Let n be r(8). Sort n, b, 2 in descending order. 2, n, b Suppose -r + 5 = -4*l - 3, -4*l - 32 = -3*r. Let i = -16 + r. Put 4, i, 0 in decreasing order. 4, 0, i Suppose 0*k + 4*k = 4. Suppose -4*p = -9 + k. Sort 4, p, -4 in descending order. 4, p, -4 Let n = 1456/5 - 290. Sort 2, n, -3 in ascending order. -3, n, 2 Suppose -3*b = -0*b + 3*v + 21, 5*v + 27 = -b. Let c = -5 + 2. Sort c, b, 4/7. c, b, 4/7 Let m = 0.74 - -0.66. Sort -4, 0.4, m in ascending order. -4, 0.4, m Let s(v) be the second derivative of v**3/6 - v**2 + 6*v. Let q be s(5). Sort -1, q, -3 in ascending order. -3, -1, q Let u be 1/5*(-10)/8. Let p = 197/200 - 34/25. Put u, p, -0.2 in descending order. -0.2, u, p Let c be 1*((-4)/(-2))/2. Let w = -2 - 3. Put c, w, -1/3 in decreasing order. c, -1/3, w Let m = 7.7 - 8. Sort -1/3, m, -2. -2, -1/3, m Let h = -120 + 119. Put h, 1, 3, 2/5 in ascending order. h, 2/5, 1, 3 Suppose -y - 3*y - 16 = 0. Suppose -j = -4*j + 3. Let u(n) = -5*n**3 + n**2 - 2*n + 1. Let t be u(j). Sort t, y, 5 in increasing order. t, y, 5 Suppose 15 = -0*u + 3*u. Let i be (5/(19 - 4))/((-1)/(-9)). Sort -5, u, i in ascending order. -5, i, u Suppose -5*p + 2*g - 6 = -0*p, 2*p - 4*g - 4 = 0. Suppose 5*d + 15 = 0, -2*d = -4*i + 5 + 17. Sort -3, i, p in ascending order. -3, p, i Suppose 2*f - 5*u = 3*f + 18, 4*u + 22 = 3*f. Suppose c + f*c + 25 = 5*v, 5*c = v - 5. Sort -1, v, -2 in descending order. v, -1, -2 Suppose -3*r + 5*k + 5 = 11, 0 = 2*r - 2*k. Put 0, 6, r, -3 in descending order. 6, r, 0, -3 Let f = 22 - 22.3. Sort f, 8, 1 in decreasing order. 8, 1, f Let f be (1/5)/(-1)*(-3 - 0). Put 0, -3, 2/7, f in ascending order. -3, 0, 2/7, f Let y = -0.06 - 2.94. Let s = 0.51 + -0.01. Let u = -27 - -29. Sort s, u, y in decreasing order. u, s, y Let k(j) = j - 1. Suppose -4*c - 5*u - 10 = 0, 0*u = -4*c - 2*u - 16. Let t be k(c). Let a be (-46)/(-10) - t/(-10). Sort -2, a, 0. -2, 0, a Let c = 0 - -1. Let y = 0.15 + -0.45. Sort y, c, -1 in ascending order. -1, y, c Let v(x) = -x. Let k be v(-5). Let s = -0.1 + 0.2. Suppose -2*p - q = -3*q + 6, 5*p - 2*q = -6. Sort s, k, p in increasing order. p, s, k Let x be ((-2)/8)/((-23)/276). Sort 0, x, 1. 0, 1, x Let s be (-10)/(-6)*(29 - -2). Let g = -51 + s. Put g, -3, 5 in ascending order. -3, g, 5 Let s(f) = -f - 2. Let o be s(-4). Suppose -a - 2 = v, -3*a + 3*v - 4*v + o = 0. Let z be 1/1 - (-2 - 2). Sort a, 3, z in increasing order. a, 3, z Let u = -8 + 7.4. Let w = 1 + u. Sort w, -3, 4/3. -3, w, 4/3 Suppose -5*h - 4*m = 4, 0 = 2*h + 3*m + 3 - 0. Sort h, -3, -9. -9, -3, h Let k(z) = z - 3 + 2*z - z - 3*z. Let o be k(0). Sort -1, o, 3. o, -1, 3 Let h be -3 - 3/((-6)/4). Let x be 1/(-6) + h - -2. Put -2/7, -2, x in ascending order. -2, -2/7, x Suppose -3*c + 5 = 5*l + c, 5*l + 35 = 4*c. Let u be (-46)/(-100) - 0/1. Let g = 1/25 + u. Sort g, -2, l in descending order. g, -2, l Let h = 5 - 3. Let o = 137/315 - -1/105. Sort -1, h, o in descending order. h, o, -1 Let x = 3.9 + -4.8. Sort x, 0, -1/4 in increasing order. x, -1/4, 0 Let v = 14 + -17. Put -1, 5, v in ascending order. v, -1, 5 Let y = -5 - -4. Sort 1, y, 2 in increasing order. y, 1, 2 Suppose 0*c + c = -2. Suppose -7 - 2 = 3*b, -s + 11 = -5*b. Sort c, s, -1 in ascending order. s, c, -1 Suppose 3*l = 4*l. Suppose 0 = 4*j - 2*j - 4. Suppose g = -4*k + 4, -j*k = g + k - 4. Put g, 5, l in ascending order. l, g, 5 Suppose 0 = 2*i + 4*k - 2, 4*i = -0*i + 2*k + 4. Let o be 112/49 + 2/(-7). Let b be (0 + -10)*o/4. Put i, b, -1 in ascending order. b, -1, i Let d = -55.5 + 56. Sort 1/4, d, 2/15, -5. -5, 2/15, 1/4, d Suppose -5 = 5*o - 5*d - 25, -3*o = 3*d + 6. Put o, 0, -3 in decreasing order. o, 0, -3 Suppose -3*i + 12 = i. Let r(t) = -t - t**2 + 2*t**2 - 10*t**2 - t**i - 9 - 1. Let f be r(-9). Sort f, 2, 1. f, 1, 2 Let m be -1 + 1 - (3 + -5). Let k be (1 + -1)*1/(-3). Suppose k*q + q = 0. Sort m, 5, q in increasing order. q, m, 5 Let i be (-6)/8*48/6. Let p = 5 + i. Let g(s) = s**3 + 2*s**2 + s. Let t be g(p). Put -4, t, -5 in ascending order. -5, -4, t Let l = 0.06 + -0.46. Let c = -109/51 + 42/17. Let u = -3 - -1. Sort l, u, c in decreasing order. c, l, u Let k = 38 - 4. Suppose 2*j - 26 = -3*h, -4*j = 3*h - 0*j - k. Put 5, h, -3 in decreasing order. h, 5, -3 Let x = -89 - -87. Suppose -3*z + 6*
{ "pile_set_name": "DM Mathematics" }
? 12 Let m = -23 - -16. Let h = -11 - m. Let z be h/(-18) + (-302)/(-18). Calculate the greatest common divisor of 51 and z. 17 Let w be -4*((-131)/4 + -1). Let t be (-1)/6 - (-17225)/318. Calculate the greatest common factor of w and t. 27 Let u = -63 - -99. Suppose -o + 3*o = u. What is the highest common factor of o and 6? 6 Let d be (57 - -9)*(238/21 + -6). What is the highest common factor of 160 and d? 32 Let u be (2/4*1)/((-2)/52). Let f be (-1278)/(-8) + u/(-52). Calculate the greatest common divisor of 32 and f. 32 Let w be 6/(-8) + (-714)/(-56). Suppose -d + 45 = p, -2*d + 4*p = -4*d + 88. Let z = -10 + d. Calculate the highest common divisor of z and w. 12 Let g(k) = -4*k + 40. Let b(u) = u**3 + 18*u**2 + 18*u + 9. Let p be b(-17). Let l be g(p). Calculate the greatest common divisor of l and 18. 18 Let p(i) = -i**3 + 63*i + 14. Let j be p(-8). Calculate the highest common factor of j and 517. 11 Let v(l) = 14*l + 6. Let b(m) = 5*m + 2. Let i(w) = 11*b(w) - 4*v(w). Let q be i(-11). Calculate the highest common divisor of 36 and q. 9 Let r be 40 + (6 + -7)*10. Calculate the highest common factor of r and 55. 5 Let a(h) = 13*h - 3. Let k be a(8). Let z = k - 84. What is the highest common divisor of z and 68? 17 Suppose v + h - 114 = 2*h, 0 = -4*v + 5*h + 460. What is the highest common divisor of v and 44? 22 Let g = 253 + 459. Suppose v = -2*u + 4, -3*v + 5*v + 2*u - 8 = 0. Suppose v*h + 208 = g. Calculate the highest common factor of h and 14. 14 Let t(l) = -6*l + 14. Let k be t(-6). Let w(y) = -y**3 - 9*y**2 - y + 11. Let u be w(-9). Calculate the greatest common factor of u and k. 10 Suppose 3*x = -3*u + 141, 3*u = u + 4. Let h be x/5 + -3 + 5. Suppose 2*q - 3 = -q. Calculate the greatest common divisor of q and h. 1 Suppose 3992 = 5*x - 4*a, 3*x + 20*a - 16*a - 2408 = 0. Calculate the greatest common factor of x and 4. 4 Suppose 16 = -2*b + 100. Suppose 0*v = -3*v + 189. Let r = -57 + v. Calculate the highest common divisor of b and r. 6 Suppose 0*b - b + 40 = 0. Suppose r = -3, -3*n = 2*n - 4*r - 37. Suppose 7*t = n*t + 16. What is the greatest common divisor of t and b? 8 Let x be 3 - (-12)/48*68. What is the greatest common divisor of x and 970? 10 Let j = -16 + 19. Suppose 0 = 2*b + 2*c + 4, j*b + 2*c + 4 = -b. Suppose 4*l - 3*z - 42 = b, 3*l = -2*z - z + 42. What is the highest common factor of 12 and l? 12 Suppose -4*j - 4*r + 511 = r, 0 = -3*j + 5*r + 427. What is the highest common divisor of j and 737? 67 Let t = 258 - 238. What is the greatest common divisor of t and 100? 20 Let d(v) be the second derivative of v**2 + v**4 - 10*v + 1/2*v**3 + 0. Let h be d(-1). What is the greatest common factor of h and 99? 11 Let d be (265/5)/(21/42). Calculate the highest common divisor of d and 1431. 53 Suppose -4*n + 125 = 3*h - 139, -5*n = 3*h - 264. What is the greatest common divisor of h and 220? 44 Let z be ((-4)/3)/((-6)/(-3 + 651)). What is the highest common divisor of 32 and z? 16 Suppose 3*m + 400 - 1392 = -5*i, 596 = 3*i + 2*m. Calculate the highest common divisor of i and 77. 7 Suppose 0 = 4*t + 7*t - 154. Calculate the highest common factor of t and 56. 14 Let d = 17 - 5. Suppose 4*p - 5 = 59. Calculate the greatest common divisor of d and p. 4 Suppose 2*m - 12 = -2. Suppose 3*a = 0, -2*a = 4*n + a - 3804. Let j be (-2)/7 - n/(-21). What is the greatest common factor of j and m? 5 Let p be 8 - (-15)/(-5) - (-2240)/2. Calculate the highest common divisor of 25 and p. 25 Let m(d) = -d - 12. Let k be m(-13). Let l be (120 - 4) + k + -1. Calculate the highest common factor of 29 and l. 29 Let l(z) = 3*z - 11. Let j be l(5). Suppose 2*r - 33 = -j*s + 7*r, 0 = 3*s + 2*r - 19. Calculate the highest common factor of s and 35. 7 Let a = 16 + -10. Suppose -4*b + 14 = 6. Suppose -b - 8 = -5*d. What is the greatest common divisor of d and a? 2 Let c be 25/10 + ((-351)/(-6) - 5). Calculate the greatest common divisor of c and 1. 1 Let j(l) = 4*l - 15. Let o be j(7). What is the greatest common factor of o and 637? 13 Suppose j - 31 = -28. Suppose i - 15 = 4*i, j*i = -c + 315. Calculate the highest common factor of 30 and c. 30 Let f(o) = -o - 3*o**2 + 136*o**3 - 2*o**2 + 6*o**2. Let g be f(1). Calculate the highest common divisor of g and 17. 17 Let r = 13 + -9. Suppose -r*q + 0*q + 32 = 3*u, -5*u + 3*q = -5. Let x = 5 + -1. Calculate the greatest common divisor of x and u. 4 Let u = -99 - -149. What is the greatest common factor of u and 125? 25 Let g(h) = -h**2 - 3*h + 14. Let q be g(-14). Let k be (-8740)/q - (1 + (-11)/7). Calculate the greatest common divisor of 14 and k. 7 Suppose 61 + 71 = 4*k. Calculate the greatest common divisor of k and 22. 11 Let c be (8/12 - 0)*(-5 - -44). Let k(n) = -7*n - 2. Let p be k(-4). Calculate the highest common factor of p and c. 26 Suppose 2*s - 114 = -17*s. Calculate the greatest common factor of 72 and s. 6 Let j(m) = m**2 - 7. Let y be j(4). Calculate the highest common divisor of 81 and y. 9 Suppose -b = 3*b. Suppose 2*j = -b*j. Suppose -q = 5*i - 35, j = 2*q - 5 - 5. What is the highest common divisor of 18 and i? 6 Suppose 7*l = 4*l + 9. Let i(g) = g**2 - 7*g + 8. Let u be i(7). Let t = l + u. What is the greatest common factor of t and 88? 11 Let c(t) = 2*t**3 + 7*t**2 - 8*t. Let k be c(-4). What is the highest common factor of 80 and k? 16 Let m(j) = 2*j + 2*j - 13 - 3*j - 3*j. Let s be m(-8). Suppose 0 = -4*n + s*r - 6*r + 212, 2*n = -r + 108. What is the highest common factor of n and 14? 14 Let y(n) = -n**2 + 9*n - 18. Let r be y(5). Suppose -r*t = -3*l + t + 33, -2*t = -3*l + 38. Calculate the highest common divisor of l and 256. 16 Let w = -26 + 37. Let k be (-6)/((0/(-2) + 2)*1). Let o be ((-44)/(-10))/(k/(-15)). What is the highest common factor of w and o? 11 Let i be ((-5)/(-10))/((-2)/(-240)). Suppose -c - i = -2*c. Suppose -w + c = 4*w. Calculate the greatest common factor of 12 and w. 12 Let g(h) = 3*h + 37. Let m be g(-11). Suppose w - 39 = m*o, 5*o - 28 = -4*w + 44. What is the greatest common factor of w and 253? 23 Let l(m) = -71*m**3 + 73*m**3 - 3*m**2 + 3 + 4*m**2 - 3*m. Let w be l(3). Let j be (38*2)/(8/4). What is the greatest common factor of w and j? 19 Suppose 3*n = -5*m + 2194, m = -0*n - n + 438. Calculate the highest common divisor of m and 40. 40 Let m(u) = u**2 + 25*u + 69. Let w be m(-24). Calculate the greatest common factor of 10 and w. 5 Let r be (3 + -22 + 3)/(-2). Let c = r - 6. Suppose -c*b + 2*g = 4*g - 44, 3*b - 5*g = 82. Calculate the highest common factor of 12 and b. 12 Let s = -408 + 472. What is the highest common factor of 448 and s? 64 Suppose 3*d = 2*d + 52. Calculate the highest common divisor of d and 13. 13 Let q be 30*5/15*2. Let s(k) = k**3 + 5*k**2 - 2. Let p be s(-5). Let l be p/6 - (-64)/12. What is the highest common factor of l and q? 5 Suppose -7*z = -8*z + 119. Calculate the greatest common divisor of z and 7. 7 Suppose -5*b = 5*m - 215, 6*m - 211 = m - 4*b. Suppose 9 = -5*i + m. What is the highest common divisor of 42 and i? 6 Suppose -29 = -5*n - 4*d + 102, -79 = -3*n - 2*d. Let v be -1 + -1 + 3 + 0. Let i be ((-540)/16)/(v/(-4)). Calculate the highest common divisor of i and n. 27 Suppose a - 2 = 0, -5*a + 38 = 4*h - 0*a. Suppose -36 + 148 = h*x. What is the highest common divisor of 12 and x? 4 Let l be (-33)/((-2178)/44)*1/(2/63). Let w(g) = g**3 - g**2 - 2*g + 1. Let d be w(-2). Let t be d*(-4 + 1 - -2). What is the highest common factor of l and t? 7 Suppose -2*c - 115 = -5*r + 3*c, 0 = r + 5*c + 1. Suppose r = v - 23. Let l be (-616)/(-33)*6/4. Calculate the greatest common factor of l and v. 14 Let j = -348 + 1030. What is the highest common divisor of j and 62? 62 Suppose -752 = -2*m + 12. Let c be (-2)/((-5)/(-405) - 0). Let v = m + c. What is the highest common factor of v and 20? 20 Suppose p = -q + 51, -q - p = 2*p - 59. Let u = q - 39. Calculate the highest common factor of u and 40. 8 Let p(k) = 14*k + 5. Let c be p(1). Suppose 2*w + 2 = 5*n - 7, -4*n - 39 = 5*w. Let x = c + w. What is the greatest common factor of 132 and x? 12 Let v be (-71)/(-4) - 4/(-16). Let p be ((486/12)/9)/((-1)/(-20)). Calculate the highest common divisor of p and v. 18 Let a(q) = -q**3 + 11*q**2 - 7*q - 27. Let l be a(10). What
{ "pile_set_name": "DM Mathematics" }
e smallest value in j, 2/7, -5? -5 Let w = 19 - 18.6. Which is the smallest value? (a) w (b) 1/5 (c) -2 c Let v be (-3)/((-12)/8) + 8. What is the second biggest value in v, 1/2, 4/5, -5? 4/5 Let z = 0.18 + -0.08. What is the smallest value in -1, z, -14? -14 Let v = 30 - 35. Which is the smallest value? (a) v (b) 5 (c) -0.3 a Let k = -0.3 + 0.3. Let h = -28 - -9. Let l = 20 + h. Which is the third biggest value? (a) 3 (b) k (c) l b Let s(o) = o**3 + 8*o**2 + 5*o + 6. Let g be s(-7). What is the third smallest value in 4, g, -3/4? g Let s be 19 + -3 - 1*3. Suppose s = -5*q - 2. Suppose -2*f + 0*f = 3*j - 2, 5*j = 5*f + 45. Which is the second smallest value? (a) q (b) j (c) -0.3 c Let k = -0.03 + 0.02. Let z = -0.31 - k. What is the biggest value in z, 3/4, 2/7? 3/4 Let u = -10 + 16. Let j = u - 4. Let y = -7 + j. Which is the third biggest value? (a) 0.5 (b) y (c) 0.3 b Let o = 65/3 + -21. Which is the third biggest value? (a) o (b) 1/6 (c) 1/7 c Let w be 8/(-12) - (-1)/6. What is the third smallest value in w, 1/3, 9, -1? 1/3 Let a = -37 - -37.5. What is the smallest value in -2/3, -1, a? -1 Let w(p) = p**2 - p + 4. Let t = -1 + 1. Let o be w(t). Suppose 6*u = o*f + u + 31, 4*f = -5*u - 1. What is the smallest value in -2, 1, f? f Let w = -14 + 15. What is the third biggest value in 0.2, w, 0.1? 0.1 Let z = -6.39 + -0.11. Let o = 2.4 + z. Let j = 4 + o. What is the second smallest value in -4, 1/2, j? j Suppose -5*i = 2*m - 1, -3 + 0 = -3*i. What is the third biggest value in m, -0.3, -0.1, 0.1? -0.3 Let r = 6.7 + -6.2. What is the third biggest value in r, 0, 1.2? 0 Suppose -30 = 6*v + 48. Which is the third biggest value? (a) v (b) -4 (c) 4 a Let l = 31/48 - -1/48. Let z = 6 + -4. Which is the third smallest value? (a) z (b) l (c) -2/3 a Let o = 11 + -11.1. Which is the smallest value? (a) -2/23 (b) o (c) -5 c Suppose 0 = -4*n + 5*n + 4. What is the third biggest value in 4, -2/7, n, -1/3? -1/3 Let y = 171 - 170.5. Let v = 0.7 + -5.7. Let n = 1 + v. Which is the third biggest value? (a) n (b) -0.1 (c) y a Let f = -2/19 + -16/209. Let o = 4/157 - -262/2041. Let r = 2.9 - 0.9. Which is the biggest value? (a) f (b) r (c) o b Let k = 9 + -11.1. Let d = -1.1 - k. Let f be -1 - -3 - (-28)/(-13). What is the biggest value in f, -1/3, d? d Let t = 4.4 + -4. Let g = t + -0.3. Let d = 85 + -84.6. Which is the second smallest value? (a) d (b) g (c) -1/3 b Let z = -45.4 - -45. Which is the third biggest value? (a) -1/3 (b) 0 (c) z c Let w = -3.5 + 4. Which is the smallest value? (a) 3/4 (b) w (c) -0.3 c Let p = 1 + -0.2. Let n = -0.2 - p. What is the smallest value in n, -0.2, 0? n Let r = 23 + -20. Which is the smallest value? (a) 4/7 (b) 0.07 (c) r b Suppose 7*s - 10 = 9*s. What is the third biggest value in -15, s, 4? -15 Let d = -5/18 - 1/18. Let s = 2.94 - -0.06. Let r = s - 2. Which is the third biggest value? (a) 2 (b) r (c) d c Let u = -0.4 + -3.6. Let l = -6 - -2. Let v = -4.1 - l. What is the third biggest value in v, u, 1/4? u Suppose -46 - 42 = -4*i. Suppose -3*q + i = -11. Let b = 8 - q. What is the smallest value in -0.5, -1, b? b Let t = -4 - 2. Let q = 4 + t. What is the third biggest value in 3, q, -1/3? q Suppose w = -4*y + 8, -3*w - 8 = -2*y - 18. What is the second biggest value in 0.4, y, -3? 0.4 Let y = 5 - 10. Let x be 1*5*63/126. What is the second biggest value in y, -2/11, x? -2/11 Let s be (6/(-8))/(117/(-24)). What is the second biggest value in 4, s, 0.2? 0.2 Let q = -0.07 - 4.93. Let u = -56 + 50.8. Let r = q - u. What is the third biggest value in r, -0.3, 0? -0.3 Let v = -0.214 + 0.014. Let g = -11 + 7.5. Let f = g + -0.5. Which is the second smallest value? (a) f (b) v (c) 0.4 b Let l(g) = -g**3 + 6*g**2 + g - 6. Let s be l(6). Which is the biggest value? (a) 0.4 (b) s (c) -2 (d) -4/5 a Let x be -1 - (-4)/16*0. Let a be 4/6 - (-5)/(-3). Let b = a + 1. What is the biggest value in x, b, 0.5? 0.5 Let t(s) = 3*s**3 - 2*s**2 + 1. Let o be 2/16*-2*-4. Let u be t(o). Which is the third smallest value? (a) -0.3 (b) -0.2 (c) u c Let w(y) = 5*y**2 - 1. Suppose -p + 2 = 4*t - 4*p, t + 11 = -5*p. Let q be w(t). What is the third biggest value in -3/8, -3, q? -3 Let p = 14 - 38. Let g = -19 - p. Which is the second smallest value? (a) 0.1 (b) g (c) -2/5 a Let t = -0.03 - -0.93. Let a = -0.2 - -0.6. Let d = t - a. What is the second smallest value in -5, 5, d? d Let h = 5 + -7. Let s be 6/27 + 8/45. Suppose 0 = 2*w - 0*w - 10. Which is the second biggest value? (a) s (b) h (c) w a Let q = 0.94 - 2.86. Let w = q + -0.08. What is the third smallest value in w, 0.5, -0.2? 0.5 Let d = 1 - 2. Let k = -3 - -3. Let j = 46 + -41. What is the second biggest value in j, k, d? k Let t be ((-8)/(-16))/(1/2). What is the second smallest value in -1/18, 0, t? 0 Suppose -2*p = 3*v - 3, -2*p = -p + v. Let n be (14/(-8) - -2)*p. Let t = 665.4 + -665. Which is the smallest value? (a) 0 (b) t (c) n c Suppose 4*d = -d + 5. Suppose -5*m + 6 = d. What is the third smallest value in m, -2/13, -1/3? m Let h = -966/5 - -2293/15. Let a = -40 - h. What is the smallest value in -0.2, a, -3/4? -3/4 Let b(s) = -s**3 - 5*s**2 + 5*s - 1. Let z(u) = -u**3 + u**2 - u. Let t be z(2). Let g be b(t). What is the second smallest value in g, 5/4, -0.1? 5/4 Let y = 0.11 + -0.11. What is the third biggest value in y, -5, -2? -5 Let m be (-64)/360 + (-4)/18. Suppose 2*h - 108 - 320 = 0. Let o = h + -2356/11. Which is the biggest value? (a) o (b) 2/17 (c) m b Let o = -0.05 + -0.15. Let g be (-16)/9 + 6/(-27). Let x be (-14)/(-6) + g + 0. What is the second smallest value in -2/3, o, x? o Let v be 2 + 0 + (-64)/30. Let x = 56 + -51. Which is the third smallest value? (a) -5 (b) v (c) x c Let g = 0.85 - 1.2. Let u = -0.25 - -0.3. Let w = g + u. What is the biggest value in 4, -5, w? 4 Let p = -85 - -88. What is the biggest value in -4/3, p, -2/15, 2? p Let u = -3 - -2.8. Let f = 0.7 + -0.4. Let y = f + u. Which is the second biggest value? (a) -4 (b) y (c) 3/2 b Let l(j) = j**3 + 6*j**2 + j + 1. Let a be l(-8). Let z be (-6)/(-27) + 3/a. What is the third smallest value in -2, z, -2/17? z Let u be (-5)/3*(-1)/15. Suppose -11 = -5*i + 4. Which is the biggest value? (a) -3 (b) i (c) u b Let y be (-1)/(-5) + 34/5. Let g(l) = -l**3 + 6*l**2 + 7*l - 4. Let u be g(y). Which is the smallest value? (a) -1/10 (b) u (c) 2 b Let i = -1/22 - 9/44. Which is the second biggest value? (a) i (b) 3 (c) 2/9 c Let z = 0.8 + -0.3. Let p(k) = -k**2 - 2*k + 13. Let l be p(-4). Which is the smallest value? (a) l (b) z (c) -1 c Let z = 0.59 - 0.39. What is the smallest value in 2/5, z, -0.5? -0.5 Let d be 1/(-3) - (-49)/63. Let r = -1.3 - -1.3. Let c be 0/1 + 2/(-6). What is the second biggest value in d, r, c? r Let o(t) = t**3 - 6*t**2 + 5*t - 3. Let c be o(5). What is the third biggest value in -1, 18, -0.4, c? -1 Suppose 5*s = -10, -2*w - 2*s + 4 = 2*s. Suppose -4 = -w*l + 2*l. Let x = 0.5 + -0.6. Which is the smallest value? (a) l (b) 4 (c) x c Suppose -3*o + 1 = 10, -4*b + o = 5. Let j be ((-22)/13 - -2)/b. What is the biggest value in j, 2/19, 4? 4 Let c = -5.3 + 5.8. What is the third biggest value in 6, c, 4? c Let q(h) = -h + 8. Let f be q(9). Let r be 1 + 4 + 2/f. Suppose 2*t + 9 = r. Which is the second smallest value? (a) t (b) 4 (c) -1/11 c Let g = -214 + 1066/5. Which is the second biggest value? (a) 1/2 (b) g (c) 2 a Let l = -0.2 - 1.8. Suppose 3*o - 3 = -2*w + 2*o, 15 = -2*w + 5*o. Let i be (-9)/(-36) - (1 + -1). What is the biggest value in l, w, i? i Let x be (-10)/4*6/(-1). Let s = x - 7. Let f be (4/(-45))/(s/20). Which is the second smallest value? (a) f (b) -2/5 (c) -3/7 b Let p be (13/(-52))/(10/152). What is the fourth smallest value in 0.1, p, 0.4, 4? 4 Let j = -108 + 101. Which is the smallest value? (a) -5 (b) j (c) -1/6 (d) -0.3 b Let j = 2.8 + -0.8. What is the smallest value in 1, -4, j? -4 Let d = -39 - -45. What is the smallest value in -2, 2/5, d? -2 Let j be (-9)/15 - 28/(-5). Suppose j + 10 = -c. Let v be 3*c/(-108)*-3. What is the second biggest value in v, 5, 0? 0 Let d = 3 + 5. Let b = 12 - d. What is the second smallest value in b, -1, 5? b Let z = -8.2
{ "pile_set_name": "DM Mathematics" }
4 to the power of 1/2, to the nearest integer? 318 What is 1661539 to the power of 1/3, to the nearest integer? 118 What is 22864579 to the power of 1/2, to the nearest integer? 4782 What is the seventh root of 2011404 to the nearest integer? 8 What is 625766 to the power of 1/2, to the nearest integer? 791 What is the third root of 615261 to the nearest integer? 85 What is 38496 to the power of 1/3, to the nearest integer? 34 What is 985549 to the power of 1/3, to the nearest integer? 100 What is the square root of 508500 to the nearest integer? 713 What is 757600 to the power of 1/3, to the nearest integer? 91 What is the sixth root of 105743 to the nearest integer? 7 What is the seventh root of 233612 to the nearest integer? 6 What is the third root of 14467665 to the nearest integer? 244 What is 132679 to the power of 1/3, to the nearest integer? 51 What is 352571 to the power of 1/2, to the nearest integer? 594 What is 1550640 to the power of 1/3, to the nearest integer? 116 What is the seventh root of 550268 to the nearest integer? 7 What is the square root of 36564 to the nearest integer? 191 What is the square root of 127982 to the nearest integer? 358 What is the sixth root of 223399 to the nearest integer? 8 What is the square root of 404160 to the nearest integer? 636 What is the third root of 20143 to the nearest integer? 27 What is the cube root of 11688563 to the nearest integer? 227 What is 3701845 to the power of 1/2, to the nearest integer? 1924 What is the cube root of 626220 to the nearest integer? 86 What is 7659664 to the power of 1/2, to the nearest integer? 2768 What is the sixth root of 1295513 to the nearest integer? 10 What is the square root of 214848 to the nearest integer? 464 What is 101989 to the power of 1/2, to the nearest integer? 319 What is the square root of 2871900 to the nearest integer? 1695 What is the square root of 261925 to the nearest integer? 512 What is 185821 to the power of 1/8, to the nearest integer? 5 What is the fifth root of 5319117 to the nearest integer? 22 What is the third root of 24390652 to the nearest integer? 290 What is 2088564 to the power of 1/2, to the nearest integer? 1445 What is 6714770 to the power of 1/5, to the nearest integer? 23 What is the fourth root of 5423118 to the nearest integer? 48 What is 693289 to the power of 1/3, to the nearest integer? 89 What is the tenth root of 801652 to the nearest integer? 4 What is the third root of 18832699 to the nearest integer? 266 What is the third root of 1388518 to the nearest integer? 112 What is 409954 to the power of 1/7, to the nearest integer? 6 What is 3237748 to the power of 1/2, to the nearest integer? 1799 What is the square root of 660158 to the nearest integer? 813 What is the square root of 7835457 to the nearest integer? 2799 What is 275864 to the power of 1/9, to the nearest integer? 4 What is 370190 to the power of 1/7, to the nearest integer? 6 What is the square root of 4256144 to the nearest integer? 2063 What is 2950213 to the power of 1/3, to the nearest integer? 143 What is the third root of 9330769 to the nearest integer? 211 What is the third root of 3140192 to the nearest integer? 146 What is 2479851 to the power of 1/4, to the nearest integer? 40 What is 4871281 to the power of 1/7, to the nearest integer? 9 What is 698419 to the power of 1/3, to the nearest integer? 89 What is the ninth root of 15284586 to the nearest integer? 6 What is the square root of 942747 to the nearest integer? 971 What is the sixth root of 150019 to the nearest integer? 7 What is 25374139 to the power of 1/4, to the nearest integer? 71 What is the cube root of 441941 to the nearest integer? 76 What is 2611372 to the power of 1/2, to the nearest integer? 1616 What is 198663 to the power of 1/5, to the nearest integer? 11 What is 220761 to the power of 1/3, to the nearest integer? 60 What is 116064 to the power of 1/3, to the nearest integer? 49 What is 209951 to the power of 1/2, to the nearest integer? 458 What is the sixth root of 1868764 to the nearest integer? 11 What is 343897 to the power of 1/2, to the nearest integer? 586 What is the third root of 1698707 to the nearest integer? 119 What is the third root of 1292402 to the nearest integer? 109 What is 921495 to the power of 1/2, to the nearest integer? 960 What is the square root of 743282 to the nearest integer? 862 What is the square root of 64205 to the nearest integer? 253 What is the third root of 890345 to the nearest integer? 96 What is 743899 to the power of 1/2, to the nearest integer? 862 What is the cube root of 295725 to the nearest integer? 67 What is 5447450 to the power of 1/3, to the nearest integer? 176 What is the square root of 10229310 to the nearest integer? 3198 What is 896226 to the power of 1/3, to the nearest integer? 96 What is 974709 to the power of 1/2, to the nearest integer? 987 What is the square root of 7131004 to the nearest integer? 2670 What is the square root of 22758 to the nearest integer? 151 What is 3811765 to the power of 1/8, to the nearest integer? 7 What is 5437321 to the power of 1/3, to the nearest integer? 176 What is the square root of 4565 to the nearest integer? 68 What is 18160337 to the power of 1/2, to the nearest integer? 4261 What is the third root of 5173866 to the nearest integer? 173 What is 757746 to the power of 1/2, to the nearest integer? 870 What is the ninth root of 3406845 to the nearest integer? 5 What is the cube root of 24974738 to the nearest integer? 292 What is 387918 to the power of 1/10, to the nearest integer? 4 What is the third root of 3221926 to the nearest integer? 148 What is the fifth root of 579193 to the nearest integer? 14 What is the third root of 11104910 to the nearest integer? 223 What is the fourth root of 1779074 to the nearest integer? 37 What is the third root of 13392836 to the nearest integer? 237 What is 331849 to the power of 1/8, to the nearest integer? 5 What is 1154154 to the power of 1/2, to the nearest integer? 1074 What is 1836425 to the power of 1/6, to the nearest integer? 11 What is the third root of 39611350 to the nearest integer? 341 What is the seventh root of 15148470 to the nearest integer? 11 What is the cube root of 3575702 to the nearest integer? 153 What is the fourth root of 524373 to the nearest integer? 27 What is the cube root of 30798277 to the nearest integer? 313 What is the cube root of 2499473 to the nearest integer? 136 What is the square root of 4543107 to the nearest integer? 2131 What is 13123230 to the power of 1/4, to the nearest integer? 60 What is the fourth root of 2511746 to the nearest integer? 40 What is the seventh root of 162368 to the nearest integer? 6 What is 41298 to the power of 1/9, to the nearest integer? 3 What is 413774 to the power of 1/3, to the nearest integer? 75 What is 2635074 to the power of 1/2, to the nearest integer? 1623 What is the square root of 1258266 to the nearest integer? 1122 What is 159098 to the power of 1/8, to the nearest integer? 4 What is the fifth root of 569646 to the nearest integer? 14 What is 909346 to the power of 1/3, to the nearest integer? 97 What is the tenth root of 832280 to the nearest integer? 4 What is the third root of 6418972 to the nearest integer? 186 What is 23959174 to the power of 1/6, to the nearest integer? 17 What is the square root of 1763721 to the nearest integer? 1328 What is 13532 to the power of 1/2, to the nearest integer? 116 What is the cube root of 10218287 to the nearest integer? 217 What is 127244 to the power of 1/2, to the nearest integer? 357 What is 2667478 to the power of 1/3, to the nearest integer? 139 What is the third root of 584816 to the nearest integer? 84 What is the eighth root of 1706249 to the nearest integer? 6 What is the fourth root of 2288979 to the nearest integer? 39 What is the cube root of 1312063 to the nearest integer? 109 What is the third root of 597347 to the nearest integer? 84 What is 103236 to the power of 1/6, to the nearest integer? 7 What is the cube root of 187864 to the nearest integer? 57 What is the square root of 6787333 to the nearest integer? 2605 What is 10681823 to the power of 1/7, to the nearest integer? 10 What is t
{ "pile_set_name": "DM Mathematics" }
t h = 2 - 4. Let p be (-1)/((-1)/132*1). Let c be -1 - (-4)/(p/39). Put h, c, 5 in increasing order. h, c, 5 Let n be -1 - 1/(-1) - -2. Let s be 2/(-8) - (-171)/300. Let x = -93/100 - s. Sort x, -0.5, n. x, -0.5, n Let u be ((-3)/4)/((-18)/(-16)). Let d = 32 - 68. Let z = 32 + d. Sort z, 2, u in descending order. 2, u, z Suppose -6 = -4*m + 2. Suppose 0 = 3*t + m*t + 15. Let u = t + 5. Sort -5, u, 5 in descending order. 5, u, -5 Let m = 0 - -5. Let f = m + -2. Sort f, 3/8, -2/7. -2/7, 3/8, f Suppose 0 = 3*a - 1 - 5. Sort 6, 1, a in decreasing order. 6, a, 1 Suppose 4*u = -6*v + v, -3*u - 3 = 3*v. Let o = 5 - 9. Let y be 3/(-2)*o/(-6). Sort v, -0.3, y in increasing order. y, -0.3, v Let v = 5 + -5.03. Let r = -0.47 + v. Put r, 3/2, 0 in descending order. 3/2, 0, r Let x = -0.28 - 0.02. Let c = -2 + 10. Let m be 6/40 - (-2)/c. Sort 3, x, m in decreasing order. 3, m, x Let x = -187 + 187. Put x, 4, 1/4 in descending order. 4, 1/4, x Suppose -3*w = -9*w + 30. Sort w, 1, 0. 0, 1, w Suppose 0 = -t + 2, 0*k - 3*t + 4 = 2*k. Let h be (2/(-4))/(-1)*2. Let r = 4 + h. Sort k, r, 3. k, 3, r Let h be (-27)/(-6) - 2/4. Let y be (3/6)/(1/(-20)). Let m be (-8)/(-70)*y/h. Put 1/4, 0, m in increasing order. m, 0, 1/4 Suppose -15 + 5 = 5*w. Let k(i) = 2*i - 1. Let g be k(2). Suppose g = -2*n + 1. Sort w, n, 2 in decreasing order. 2, n, w Let j = 916/9 + -102. Put 4, 2/3, j in decreasing order. 4, 2/3, j Let k = 0.6 + -0.3. Suppose 0 - 5 = 5*y. Put y, -5, k in decreasing order. k, y, -5 Let k = -110 - -109.5. Let g = 4 + -4.2. Put -4, g, k in ascending order. -4, k, g Let h be 12/2 + (0 - 1). Let x = 3 + 2. Let r(i) = -i**2 + 5*i - 3. Let s be r(x). Put 3, h, s in descending order. h, 3, s Let p = -0.5 - -1. Let g be 6/(-18) + (-6)/(-9). Put 1/4, g, p in ascending order. 1/4, g, p Let x = 9 - 5. Suppose x*d + 16 = c, -3*c - 3*d + 15 = -4*d. Let m(j) = -j - 5. Let r be m(0). Sort c, r, 3. r, 3, c Let c be ((-2)/(-6))/((-2)/(-24)). Sort -3, -4, c in descending order. c, -3, -4 Let y = -12 - -17. Suppose 2*i - 2 + 0 = 0, 2*v + 2*i + 2 = 0. Let t be v*(2 + 0/1). Sort y, t, 3 in increasing order. t, 3, y Let r = 1 - 1. Let z(w) = w**2 - 9*w + 4. Let f be z(8). Put r, -3, f in descending order. r, -3, f Let v = -14 + 15. Sort -3, v, -2 in decreasing order. v, -2, -3 Let a be ((-264)/(-21))/(-4)*-45. Let j = a + -142. Put j, -4/5, -2 in descending order. j, -4/5, -2 Let l = -0.08 - 0.92. Let k be 38/(-8) + (-5)/20. Sort 2, k, l in increasing order. k, l, 2 Let x be (172/(-42) + 4)*3. Put -1/3, x, 0.5 in descending order. 0.5, x, -1/3 Let j be 1 + (-1)/(-5) + (-7)/35. Sort 37, 3, j in descending order. 37, 3, j Let z = -3/5 + 1. Let a = 0 - -0.5. Let c = 229/141 - -2/47. Sort z, a, c in increasing order. z, a, c Suppose -2 = -4*d + 2. Sort d, 0, 4 in descending order. 4, d, 0 Let p(q) = q**2 - 16*q + 64. Let w be p(10). Sort 1, -3, w, -6. -6, -3, 1, w Let a = 2 + -1. Let f = -2 + 3. Let l be 3/((27/(-12))/f). Put a, 1/11, l in decreasing order. a, 1/11, l Let a = 0 - -4. Suppose a*w - 12 = 4. Put 1, w, 3 in descending order. w, 3, 1 Let l = 11.7 + -7.87. Let a = l - -0.17. Sort 0.4, a, -2 in descending order. a, 0.4, -2 Let a = -2.7 - 1.3. Sort 2, 0.2, a in increasing order. a, 0.2, 2 Let u = -3 + 7/2. Let l(y) = -y**3 - 5*y**2 + 6*y - 1. Let i(s) = s**3 + 5*s**2 - 5*s. Let z be i(-6). Let a be l(z). Put -2, u, a in ascending order. -2, a, u Let i(m) = m + 11. Let v be i(-6). Suppose 0*h = h - v, -4*x = -5*h + 37. Put -5, 3, x in increasing order. -5, x, 3 Let o = -5.04 + 0.04. Put 4, 0.5, o in descending order. 4, 0.5, o Let i be 2/(-3) - 20/(-15). Let n = 107.41 + -112.4. Let m = n - 0.01. Sort m, 0.3, i in ascending order. m, 0.3, i Let u be (-38)/4*(6 + -8). Suppose u + 6 = 3*n - 2*c, -22 = -4*n - 3*c. Put n, 0, 1 in increasing order. 0, 1, n Let d(l) = -l**2 + 17*l - 7. Let f be d(17). Let z be (f/(-21))/(26/12). Sort -1/4, z, 0.2 in ascending order. -1/4, z, 0.2 Let y = 8 + -1. Let m = 4 - y. Let o = m + 3.1. Sort o, -1/2, 2/7 in descending order. 2/7, o, -1/2 Let w = 12 + -23. Sort w, 5, -1. w, -1, 5 Suppose 94*v = 93*v + 5. Put v, 4, -10 in ascending order. -10, 4, v Let v = -352/2865 + -2/191. Sort 1/8, 0.4, v in decreasing order. 0.4, 1/8, v Let i = 15 - 28. Let x = i + 18. Sort -2, -3, x in descending order. x, -2, -3 Let f = 89 - 86.94. Let k = -0.06 + f. Let y be 3/((-9)/(-3)) - -4. Put -0.1, y, k in ascending order. -0.1, k, y Let v(j) = -j - 5. Let z be v(-9). Suppose 2*r - 2 = p, -z = -r + 5*p + 6. Put 3, r, 4 in increasing order. r, 3, 4 Let y = -0.05 + -0.35. Let s be 1 - ((-2)/(-4))/((-3)/(-4)). Put s, -1, y in descending order. s, y, -1 Let x = 1.5 - 2. Sort x, -1, -2 in ascending order. -2, -1, x Let f = 176 + -1586/9. Put 3, f, 0, -4/9 in increasing order. -4/9, f, 0, 3 Let u(b) = -b**2 + 8*b - 7. Let j be u(6). Suppose -z = -0*z + 3*o - 20, -j*o + 10 = -3*z. Let a be (-3)/1 - -5*1. Sort -3, z, a in decreasing order. z, a, -3 Let l be (-22)/((-2)/(-5)*5). Put -5, -4, l in descending order. -4, -5, l Suppose 0 = -2*q - 5*p + 21, -5*q + 5*p + 35 = -0*q. Let h(n) = n**2 - 8*n. Let c be h(q). Sort 5, 4, c. c, 4, 5 Let u = -76 - -79. Let k(r) = r**2 - 2*r + 1. Let j be k(1). Sort j, u, -3 in increasing order. -3, j, u Suppose -2*c = 3*n, 0*n + 4*n + 4*c + 4 = 0. Let l be 1/n + 5/(-2). Sort -1, l, -5 in ascending order. -5, l, -1 Let x be (-1)/(-2 + 15/9). Put 4, x, 5 in ascending order. x, 4, 5 Suppose 0 - 3 = t. Let k be 4/6 - 140/(-15). Let w be (-1 - 1)*2/k. Sort w, -0.1, t in decreasing order. -0.1, w, t Let x be 4/2 - 1*-2. Suppose -5*s - 25 + 5 = 0, 16 = 2*g - 4*s. Put 1, x, g in decreasing order. x, 1, g Let b = -6 + 10. Let t(a) = -a**2 + 5*a - 4. Let p be t(4). Let u be 4 + -1 + p/4. Sort u, b, -6 in ascending order. -6, u, b Suppose c - 3 = -5*j, 4*j - 15 = -j + 5*c. Suppose -5*a + 4*i + 32 = 0, 0*i = 2*i + 6. Sort -3, a, j in descending order. a, j, -3 Let w = -13 - -13. Let n = -20 - -17. Put -2/7, n, w in descending order. w, -2/7, n Let c = 5 + -7. Suppose 5*i - 28 = -v + 4*v, -13 = -2*v - 3*i. Sort c, v, 3. c, v, 3 Let x = 9.6 - 10. Let c = 0.2 - -0.2. Put 3, x, c in ascending order. x, c, 3 Let b = -34 + 33.7. Sort -1/3, 1.1, b in descending order. 1.1, b, -1/3 Let g = -2.5 - -0.5. Let m be (-1)/4 - 1/(-4). Sort 1/3, g, m in descending order. 1/3, m, g Suppose 4*a - 27 = -3*p - 4, -4*p = -3*a - 14. Sort -5/3, 4/5, p, -0.01. -5/3, -0.01, 4/5, p Let y = 87 - 347/4. Let v = -11 - -8. Put y, v, -2/5 in ascending order. v, -2/5, y Let k = 7 + -6.9. Sort 5, 2/9, k in decreasing order. 5, 2/9, k Let b(l) be the first derivative of -l**2/2 + 10*l + 1. Suppose y + 35 = 5*a, -2*a + 4*y + 50 = 3*a. Let k be b(a). Put k, -0.4, 0.4 in decreasing order. k, 0.4, -0.4 Let q = 0.643 - 0.043. Sort 2/5, q, -1, -4. -4, -1, 2/5, q Let q = -2 + 3.2. Let d = -1 + q. Put 2, -2/13, d in increasing order. -2/13, d, 2 Suppose 301*q = 296*q - 10. Sort 18, q, -1 in descending order. 18, -1, q Suppose -2*h + 10 = -0. Suppose -20 = h*y - 5*j, 0 = -2*j - 2*j + 12. Sort y, 5, -4 in descending order. 5, y, -4 Suppose 7 = 2*c - 7. Let g = -10 + c. Sort g, 3, 2. g, 2, 3 Let i = -11 + 7. Let r(q) = 2*q**3 - q. Let m be r(1). Let n = m - 0. Sort i, -1, n in increasing order. i, -1, n Let m = -9 - -11. Sort -1, -3, m in ascending order. -3, -1, m Let k = 0.17 - 1.97. Let u = k - -0.8. Sort u, -4, -0.4 in decreasing order. -0.4, u, -4 Let n = 7 - 6. Suppose -4*q + n = -3. Put 5, -0.5, q in ascending order. -0.5, q, 5 Suppose 2*j = -2*u + 15 - 5, -3*j = -3*u - 3. Let m(w) = -w**2 + w. Let s be m(2). Put j, -3, s in ascending order. -3, s, j Let y = 3.7 + 0.3. Sort y, -0.1, -5/3 in descending order. y, -0.1, -5/3 Let k = -15 + 14.6. Let s be (-2)/(1 + 6/(-10)). Let j = -1 + 1.5. Sort k, j, s in decreasing order. j, k, s Let s(i) = -i**2 - 6*i + 8. Let k be s(-7). Let b = k - -2. Sort -2, b, 5 in descending order. 5, b, -2 Let v = -5 + 7. Suppose -2*h + 2*g = 8, -4*h + g + g - 16 = 0. Sort h, 0, v in decreasing order. v, 0, h Let f be ((-6)/8)/((-21)/140). Put f, -5, 26 in ascending order. -5, f, 26 Suppose 3*t - 5*h - 18 - 14 = 0, -2*h = 3*t - 4. Let n(v) = -v**2 - 3*v + 3. Let o be n(-3). Sort t, o, -0.2. -0.2, o, t Let b(r) = -4*r - 3. Let h(g) = 2*g + 1. Let o(q) = 6*b(q)
{ "pile_set_name": "DM Mathematics" }
? 0.1 What is the nearest to 2/3 in -4, -22, -0.1129, 0.5, -3, -1? 0.5 Which is the nearest to 0? (a) 8577 (b) -413 (c) 0 c What is the closest to -20/7 in -0.2, -10, -3/7, 2/17, -0.001? -3/7 Which is the nearest to -1? (a) 7/11 (b) -16 (c) 8/69 (d) 1/6 (e) -2 e What is the closest to -0.1 in -155947, 5, -0.5, 2/29? 2/29 What is the closest to 0.1 in 5, 31/189, 35? 31/189 What is the closest to -0.1 in 178, 15, 0, 1/165? 0 What is the closest to -0.02 in 57, 4, 3, -5, -2, 1.2? 1.2 What is the closest to -1 in -1.6, 28, -0.3, -0.05797? -1.6 What is the nearest to 0.0863 in 5, 4, -5, -4, 0.3? 0.3 Which is the closest to -3/2? (a) -0.4 (b) 0.3 (c) -1/7 (d) -9 (e) -11 a Which is the nearest to -2.1? (a) 3 (b) 10 (c) 0.09 (d) -0.4 (e) 0.4 (f) 0.57 d Which is the nearest to 0.1? (a) -7/3 (b) -146 (c) -712/17 a What is the closest to 1 in 0.5, -1509, -1/9, -1/3, -13? 0.5 What is the nearest to 10 in 29259/5, 4, -0.2, -0.5, -22? 4 Which is the closest to -17/44? (a) 4/7 (b) -1/5 (c) 10 b Which is the nearest to 1? (a) 3/4 (b) -24/5 (c) 938 a What is the closest to 1 in 0.00637, 1/3, -0.03, 0.11? 1/3 Which is the nearest to 2? (a) 0.5 (b) 1.8 (c) 3 (d) -417 (e) 3/2 (f) 18 b What is the nearest to -1/2 in 41, -4/7, 4, -3, -0.7, -1/102? -4/7 What is the closest to -17/1404 in 1.5, -2/11, 1/9, -1? 1/9 Which is the nearest to -2? (a) -2/5 (b) -0.5 (c) 4 (d) 7/1108 (e) -0.08 (f) 1 b Which is the nearest to 1/5? (a) 640 (b) -12 (c) 0.02 c What is the closest to 0 in -3, -113, 1.137, 0.02? 0.02 Which is the nearest to 2/7? (a) 1 (b) -5/3 (c) -9 (d) 2/3 (e) -1/28 (f) 9 e What is the closest to -3586 in 2, 6, -1/9? -1/9 Which is the nearest to 0.1? (a) 0 (b) -2 (c) 3/8 (d) 7/13 (e) 17/36 a Which is the nearest to 0? (a) -91/8 (b) -2/57 (c) 54/7 (d) 5 b Which is the closest to -28/9? (a) 0.4 (b) 5 (c) 0.01 (d) 1/5 (e) 3 c Which is the closest to -0.2? (a) -0.1 (b) -5 (c) 0.0442 (d) -4.354 a What is the closest to -2/11 in 0.047, -2.2, 51, -3? 0.047 What is the closest to -0.0731 in 0.3, 4/669, 0.4, -1? 4/669 What is the closest to 5 in -2, -1/7, 0.4, -0.4, -10283? 0.4 What is the nearest to 1/17 in -23710, -3, -0.5? -0.5 What is the nearest to 113 in -232, 0.3, -1/3? 0.3 What is the nearest to -2/7 in -2, 1891, 54, 3, 11? -2 What is the nearest to -0.2 in -37258, -3/2, 3, 0.5? 0.5 What is the closest to 2 in -1, 3.543, -4, -3/4, 3? 3 Which is the closest to 829? (a) 4 (b) -458/15 (c) -1/4 a What is the closest to 3 in 0.12, -870, -0.5, -2/21, 1? 1 What is the closest to 0.1 in -2/13, -2/101, 117856? -2/101 Which is the nearest to 0.2? (a) -2/213 (b) -2/21 (c) -0.4 (d) -73 (e) -0.2 a Which is the closest to -2/11? (a) -0.06 (b) 2/3 (c) 3733 (d) 9 a What is the closest to 2/3 in -1, -3.32, 3, -0.27, 1/3? 1/3 Which is the closest to -3? (a) -5 (b) -2/5 (c) -35 (d) 866/13 a What is the closest to 0.15 in 0.1, -0.4, -1/80821? 0.1 What is the closest to -0.1 in 1222/11, 14.26, -1, 2? -1 Which is the closest to 17? (a) -2.1 (b) 0.64 (c) 330 b What is the closest to 1/2 in 0.5, 0.102, -0.5, 1/14, 1/6, 8072? 0.5 What is the closest to 22 in 1, -21, 2/5, -370? 1 What is the closest to -72 in -2, 1/4, -0.02, 14? -2 What is the nearest to -590 in -9, -0.2, -2/9, 5? -9 What is the closest to 1 in -0.93, 0.4, 25805/6? 0.4 What is the nearest to 2 in -22, -0.1, 0.5, -0.257, 5? 0.5 Which is the closest to 1/3? (a) 58 (b) -56 (c) 6 c What is the nearest to 0 in -5/3, -1/3, -7, -2/9, 0.14, -11? 0.14 Which is the nearest to -1305? (a) -75 (b) 1/25 (c) 3 (d) 3/2 (e) -0.3 a What is the closest to -1 in -0.008, -6, -42/25, -0.045, 2/9? -42/25 What is the closest to 4 in -4, 0.07, 1, 2.09, 0.3, 2/9? 2.09 Which is the nearest to 0? (a) 8 (b) -2 (c) -3/8 (d) 0.11 (e) -5/113 e Which is the nearest to 1262? (a) 96 (b) 0.5 (c) 1/4 (d) -5 a Which is the closest to 1130? (a) -1 (b) 0.5 (c) -5 (d) 9 (e) 5 d Which is the closest to 3? (a) 3 (b) 19 (c) -0.3 (d) 0 (e) -12 (f) -1.27 a Which is the closest to 0? (a) 4/5 (b) -1/562329 (c) -0.4 (d) 1 b Which is the nearest to 3? (a) -0.5 (b) -4 (c) 9 (d) -8/29 (e) -24 d What is the closest to 8/39 in 54, 1, 2, 0.5, 3/4, -0.22? 0.5 What is the nearest to 1/4 in -2/5, -2/9, 2/27, -14287, 1? 2/27 Which is the nearest to 227? (a) 5 (b) 2/5 (c) -4/7 (d) 4 (e) -1.55 a Which is the closest to -1? (a) -15 (b) -2/51 (c) -5 (d) -0.0622 d Which is the closest to 0.1? (a) -56 (b) -52 (c) 5/16 (d) 2/7 (e) -4 d Which is the closest to -1/7? (a) 85/12 (b) 0 (c) -9.7 b Which is the closest to -0.2? (a) 6/7 (b) 0 (c) 442 (d) 3 (e) -2/31 (f) 0.1 e What is the nearest to 0.9 in -0.17, -4/5, 9.1, -85? -0.17 What is the nearest to 0 in 2579, 0.1, 0, 31, -2/3? 0 Which is the nearest to 1/2? (a) -389.586 (b) 8 (c) -0.3 c Which is the nearest to -0.4? (a) 2 (b) 6/53677 (c) -0.4 (d) 4/3 c What is the nearest to 1/3 in -2/11, -2, 0.4, 27/169, -28, 5? 0.4 Which is the closest to -22/3? (a) 0 (b) 5 (c) 2 (d) 0.0286 (e) -0.4 e Which is the closest to -7? (a) -3 (b) -0.3 (c) 1306 (d) -1 a Which is the nearest to 1? (a) 4 (b) 1 (c) 0.007 (d) -4 (e) -0.097 b Which is the closest to -1? (a) 1/5 (b) -2453 (c) 66 (d) -1.3 d What is the nearest to -2 in -393, 16076, 34? 34 Which is the closest to 2/195? (a) 0.4 (b) 2887 (c) -2/9 (d) 0 d What is the closest to 1833 in 10.13, -1, 0.08, -5? 10.13 What is the closest to 2 in -2, 2.2, 16, -3, 1/919? 2.2 Which is the closest to -21/4? (a) -2 (b) -32 (c) 2/21 (d) -1/21 a What is the closest to 0.03 in -2, -231.3, 34, -5? -2 What is the closest to -1 in -11/2157, -4, 3/466? -11/2157 Which is the closest to -2? (a) -0.0083948 (b) 4 (c) -2 (d) 1 c What is the nearest to 1 in 0.196, 4, 2, -2490, -0.4, 0.4? 0.4 What is the closest to -53/4 in -0.1, -0.01, 1705? -0.1 Which is the closest to -0.2? (a) 0.07 (b) -4 (c) 0.4 (d) 76/5 (e) 0.944 a What is the closest to -1454 in 1/4, 4, 2/7, 3, 20? 1/4 What is the closest to 2/5 in 3, 6, -16/5495, -2? -16/5495 Which is the nearest to -0.9? (a) 4/5 (b) 288 (c) -449 a What is the closest to -4 in 0.4, -5, -10, -522, 0.5? -5 What is the closest to -0.1 in -2138, -1/3, 1.3, -4/3, 0? 0 Which is the closest to 18/19? (a) 0.5 (b) 3 (c) -132.6 (d) 0.3 a What is the nearest to -1/10 in -2/17, -0.3, -0.253, 0.5, 0.116, 2.6? -2/17 What is the nearest to -1/14 in 0.072, 3/5, 43, 7, 0? 0 Which is the nearest to 116? (a) 0.8 (b) 4 (c) -2/11 (d) 10 (e) 5 d What is the closest to 1 in 3/17, -0.5, -2075, -2, -89, 1/3? 1/3 Which is the nearest to -57/7? (a) 2 (b) 8 (c) -5363 a What is the closest to 2 in 205/8, 24, -2/185? -2/185 Which is the closest to -7? (a) 0 (b) 75 (c) 2727 (d) -1/3 (e) 4 d Which is the closest to -0.81? (a) 0.21 (b) -1137 (c) -0.4 (d) -2/7 c What is the nearest to 0 in 2.24, -317, 2/3? 2/3 What is the closest to -1/2 in -126783, 5, -7, -16? 5 What is the closest to -2/177 in -4, 4, 31489? -4 What is the nearest to -2/28171 in -4, -3, 1/3, 1/19? 1/19 What is the nearest to -38 in 3/4, -21.2, 0.1, -2/7, -2/9? -21.2 Which is the closest to 2/3? (a) 1 (b) -2.804 (c) 4 (d) -9 (e) -0.07 a Which is the nearest to 0.052? (a) 64/49 (b) -31 (c) -0.2 c Which is the nearest to -259/6? (a) -12 (b) -0.24 (c) 3/10 a What is the nearest to -2 in -2/5, 0.01, 2/3, 20/103, -0.3? -2/5 What is the closest to 10 in -2/3717, 2/13, -60? 2/13 Which is the nearest to 1/2? (a) 0.4 (b) -2 (c) 2/2637 (d) -0.03 (e) -1 a Which is the nearest to 1/21? (a) 4/13 (b) 2/11 (c) 5963 b What is the nearest to -6 in -1/9, 5/2, -0.2, -0.4, -3190, -2.5? -2.5 What is the closest to -0.2 in -12/11, -5, 5/13, -2, 5, -979? 5/13 Which is the nearest to -1/4? (a) 3/79 (b) 0.0505 (c) -7 a Which is the nearest to -0.053? (a) 1/2 (b) 628/3 (c) -7 a Which is the nearest to 32? (a) 153302 (b) 1 (c) -2 b Which is the closest to 0.119? (a) 6 (b) -75 (c) -312 a Which is the closest to 6.51? (a) -0.1 (b) 2/17 (c) 8 (d) -1/58 (e) -4 c Which is the nearest to 2/21? (a) 0.2 (b) 2/55 (c) 93 (d) -6 (e) 3 b Which is the nearest to 0.01? (a) -2 (b) 4 (c) 6/11 (d) -9 (e) -2/75 e Which is the closest to 10
{ "pile_set_name": "DM Mathematics" }
lue in -0.2, 3, 0.012, 5, -34, -1? -34 What is the second biggest value in 4.18458, 4, 2, 5/9? 4 Which is the fifth smallest value? (a) -5 (b) 10429 (c) -6 (d) -1/6 (e) 7/9 b Which is the third biggest value? (a) 5415 (b) 449 (c) -4 (d) -0.4 (e) 6 e Which is the second biggest value? (a) -0.053 (b) 1 (c) -9/98 (d) -10 a What is the second smallest value in -0.3, 2/5, -10/7, 1, -71? -10/7 Which is the sixth biggest value? (a) 30 (b) 5 (c) 2/7 (d) 3 (e) -94 (f) -1.2 (g) -2/7 f What is the biggest value in -3, 1/15, -2/7, -25690? 1/15 Which is the biggest value? (a) 111/32 (b) 3/7 (c) -205 a Which is the smallest value? (a) -207/13 (b) 5 (c) 0.4 (d) -4 (e) -0.23 a What is the third biggest value in 0.5, 5, -118, 21, -110? 0.5 What is the smallest value in 2/237, 41, 17.59? 2/237 Which is the second biggest value? (a) -42/13 (b) -299 (c) -2/6409 a Which is the fifth biggest value? (a) 9/1018 (b) 2 (c) 3 (d) -74 (e) -11/8 d Which is the second smallest value? (a) 4/9 (b) 1/5 (c) -5786 (d) -4 d Which is the sixth biggest value? (a) -0.16 (b) -94 (c) 1 (d) -2 (e) 0.3 (f) 1/4 (g) 7/2 d Which is the fifth smallest value? (a) -2/599 (b) 8/11 (c) 0.5 (d) 0 (e) -0.06 b Which is the fifth biggest value? (a) -5/13 (b) 3 (c) 0.3 (d) -3 (e) -0.087 (f) 0.005 (g) 5 e Which is the smallest value? (a) 10/3 (b) 15 (c) -1/8 (d) 0.4 (e) -128610 e What is the fourth biggest value in 0.2, -2, -0.5, -37/6, 3, 2/5, 87.2? 0.2 Which is the second biggest value? (a) -68 (b) -3 (c) -5 (d) -0.0366 (e) 0.1 (f) -4 d What is the second smallest value in -9.7, 0.27, -19021? -9.7 Which is the smallest value? (a) -89565 (b) -32/13 (c) -1 a Which is the third biggest value? (a) 0.5 (b) 3 (c) 0.3 (d) -2/13 (e) 3/4 (f) -1117.2 a Which is the biggest value? (a) 166138/5 (b) -4 (c) -3 (d) 4 (e) -0.7 a What is the fourth smallest value in 2, -15, -5, -28, 2/11, -2? -2 What is the biggest value in 7, -2/239197, -20, 2/7, 4, 0.7? 7 Which is the sixth biggest value? (a) -1 (b) 3 (c) 4/19 (d) 2/3 (e) 2/181 (f) 2/9 (g) -3/5 g Which is the third biggest value? (a) 4/3 (b) 0.5 (c) -660578 c What is the fifth biggest value in 0, 0.058, -5, -82, 0.3? -82 Which is the third smallest value? (a) 0.1 (b) 340 (c) 3 (d) -0.5 (e) -94 a Which is the fifth biggest value? (a) -3/2 (b) -0.1 (c) -40 (d) -17 (e) -0.058 c Which is the smallest value? (a) -3 (b) -98536 (c) -5 (d) 1 b What is the smallest value in -6, 31587, 37? -6 What is the fifth smallest value in -0.006, -0.2, -23, 1, -37? 1 What is the fifth smallest value in 6/5, 2/79, -2, 1, 0.5, 1551? 6/5 What is the second smallest value in 793/8, 2/13, -0.6, -4/9, 0.13, 0.5, -0.4? -4/9 Which is the second smallest value? (a) 27 (b) 2/147 (c) 2152 (d) 0.3 d What is the smallest value in -0.9, 2, -7834/3? -7834/3 What is the third biggest value in 0.2, 0.5, 1/3, -13/8, 1, -4.38, 4? 0.5 What is the smallest value in 1/2, 38/3, 356060? 1/2 What is the biggest value in 306, -1130/11, 46? 306 What is the third biggest value in -98, -0.3, 0.1, 7.3, 0.05? 0.05 Which is the smallest value? (a) -2.21 (b) -2.35 (c) -4 c Which is the second smallest value? (a) 13 (b) 7/3 (c) 2/7 (d) -3/2 (e) 57 c What is the biggest value in 26/9, -2, 715, -7/11? 715 Which is the smallest value? (a) 3/8 (b) 1/9 (c) 15 (d) 0 (e) 0.7 (f) 0.01 d What is the third smallest value in 1, 0.3, -1, 5, 1044, -1/2, 4/5? 0.3 Which is the second smallest value? (a) 0.2 (b) -2/31 (c) 22 (d) 2 (e) 9 (f) -0.3 (g) -2/3 f What is the third biggest value in 10, 4, -7, -1/2, 0.007, 149/2? 4 What is the second smallest value in -81, 2, -4/5, -0.72626? -4/5 Which is the third smallest value? (a) -3 (b) 82 (c) 594 (d) 4 (e) 5/7 (f) 1 f What is the smallest value in 1, -0.3, 11497/102? -0.3 Which is the third smallest value? (a) 5 (b) 12 (c) -0.2 (d) 6265 (e) 1 a What is the third smallest value in -18383.21, 0.5, -4/9? 0.5 What is the third biggest value in -0.1, -1/8, -825, 1/2, 1058? -0.1 What is the fifth biggest value in -4, -4510.41, 2/7, 0.3, 4/7, -1/3? -4 What is the second biggest value in 0.25, -26.08, 0.7, -1? 0.25 What is the fourth biggest value in -8/19, 2/13, 4, 8, 134, -0.2? 2/13 Which is the third smallest value? (a) -211 (b) 1/2 (c) -61 (d) 3/7 d What is the third biggest value in 3, -0.3, 199/2881, 2? 199/2881 What is the smallest value in 0.3, -4, 76367, 1/50? -4 Which is the second smallest value? (a) -360 (b) -0.5 (c) -1.4 (d) -4 (e) 32 (f) 0 (g) 2/9 d Which is the biggest value? (a) -15/7 (b) 3.9 (c) -83 (d) -0.02 (e) 0 (f) -5 (g) -1 b What is the smallest value in -9, -14, 9194.7? -14 Which is the fourth smallest value? (a) 5 (b) 0.104608 (c) -2/15 (d) -0.1 a What is the third smallest value in -8, 1/6, 3949/2? 3949/2 What is the sixth smallest value in 4813, -5, 0.5, 2/7, 0.05, 0, 4? 4 What is the third smallest value in 49, -0.082, -5, 26, -1/9, 0.3? -0.082 Which is the second biggest value? (a) -4 (b) 0.4 (c) 5 (d) 63.15 (e) 0.149 (f) -5 (g) -2/25 c What is the second smallest value in -1820, 1.9, -0.0548? -0.0548 What is the seventh smallest value in -1/6, 1/4, 13, 8/7, 5, -5/3, 3/4? 13 Which is the biggest value? (a) 5 (b) -61992 (c) -5/13 (d) 32 d Which is the second biggest value? (a) -7/10 (b) 3/10 (c) -4 (d) 0.4 (e) -0.75 (f) -2 b Which is the third smallest value? (a) 72 (b) 69/62 (c) -0.7 a Which is the second biggest value? (a) -4 (b) -4612 (c) 0 (d) -8/5 d What is the fourth biggest value in -341, 2/11, 30, 1, 342? 2/11 Which is the fourth biggest value? (a) 29520 (b) 2 (c) -2 (d) 4 c What is the fifth biggest value in -0.3, 0.4, -8/395, 4, -141, 0.3, -0.2? -0.2 What is the second biggest value in -1/4, 2, -1567, 660, -6? 2 What is the second smallest value in 2/7, 5/82, -7501, 1.9? 5/82 Which is the fifth smallest value? (a) 0.08 (b) 1 (c) -0.1 (d) -3 (e) -0.011 (f) -3.4 a What is the fourth biggest value in -1, -1672, 0.5, -2/3, 0, 4, -2/49? -2/49 What is the biggest value in -1/6, 1/5, 0.04, 3, 0.4, 0.767? 3 What is the second smallest value in 3, 3/7, -117, -3, -354? -117 What is the sixth biggest value in -2/23, 3/4, -6, 0, 2, -3/35? -6 Which is the second biggest value? (a) -3 (b) 15849 (c) 2/11 (d) -2 c Which is the second smallest value? (a) 96002 (b) -0.2 (c) 2/11 (d) -4 (e) 0 (f) -0.62 f What is the second smallest value in 2/7, 2/15, -3, 2, -0.4, 19, -72? -3 What is the second biggest value in 0.4, 1.3788, -10/97? 0.4 What is the biggest value in -1/8, -0.09, 0.5, 70, -0.5? 70 What is the third smallest value in -1028, 0.2, -34, -5? -5 What is the third smallest value in -528520, 1.11, -0.3, -1, -0.4, -2/15? -0.4 What is the second biggest value in 0.4, -1/4, 5.81, -853? 0.4 Which is the fourth biggest value? (a) -37.1 (b) 87/16 (c) 0.3 (d) -2/3 (e) -1/3 (f) -3 d Which is the second smallest value? (a) 2/9 (b) -13 (c) 2/17 (d) -13/5 (e) -1/2 (f) 116 (g) 5 d What is the third biggest value in -3, -972/25, -1646, 10? -972/25 What is the sixth biggest value in -28, -13, -22/5, -20, -0.5, 7, -2/9? -20 Which is the fourth biggest value? (a) -494 (b) 0 (c) -4.8 (d) -6376 d What is the second smallest value in -3/7, 0.52, -3, 0.5, -79, 2, 8/33? -3 What is the third smallest value in 4, -658, 0.3, 8, 0.2, -15/11? 0.2 Which is the smallest value? (a) 3 (b) 1 (c) 4 (d) 0.079 (e) 762 d What is the third smallest value in -2/52417, 0.2, -10688, -0.1? -2/52417 Which is the sixth smallest value? (a) 2/11 (b) 0.3 (c) 197/8 (d) 0.5 (e) -2/23 (f) 4 (g) -2 f Which is the sixth smallest value? (a) -110 (b) -5 (c) -4 (d) 5 (e) 1 (f) 0.5 (g) 3/1925 e What is the smallest value in 0.1, -3, -532, 18184? -532 Which is the biggest value? (a) -3 (b) 25625 (c) 37 b Which is the smallest value? (a) -3.14 (b) -3 (c) 0.4 (d) 0.1 (e) -37 (f) -6 e Which is the fifth smallest value? (a) 5 (b) -3 (c) 64 (d) 1 (e) 15 (f) 263 c What is the fifth smallest value in 0.5, -1/2, -3, 3, 4, 0.4, -3/179? 0.5 Which is the biggest value? (a) -4/5 (b) -0.1 (c) 0.3 (d) 1291 (e) 0.2 (f) -98 (g) 1/4 d What is the third smallest value in
{ "pile_set_name": "DM Mathematics" }
g**2 Expand (172 - 216 + 0*u + 2*u)*(-4*u**2 - 2 + 2). -8*u**3 + 176*u**2 Expand (-3*k**2 + 8*k**2 - k**2)*(-4*k + 3*k - 3*k)*(-2*k + k + 2*k). -16*k**4 Expand (1 - 5 + 2)*(4 + 38 + 10)*(-3*o**3 - o**3 + 2*o**3)*(-5*o + 3*o + 3*o). 208*o**4 Expand -4*z**5 + 3*z**5 + 0*z**5 + (z**3 + z - z)*(-z**2 - z + z) + 68340*z - 68340*z - 1301*z**5. -1303*z**5 Expand (17*t**2 + 22*t**2 + 10*t**2 + 4)*(2 - 1 + 1)*(3 + 2 - 7). -196*t**2 - 16 Expand (3*w - 3*w + 2*w**3)*(22*w - 14*w - 13 - 7*w)*(0 - 2 + 4). 4*w**4 - 52*w**3 Expand (0*u - u + 3*u)*(-3 + 0 + 1) + 0 + 0 - 2*u - u - 2*u + 4*u - u - 2 + 2 - 6*u + 4*u + 3*u + (-2*u - 3*u + 2*u)*(-2 - 2 + 2) + 6*u - 3*u - u. 3*u Expand (-8 + 10 + 13)*(0 - 4 + 7)*(2*q**5 - 3*q**5 - q**5). -90*q**5 Expand (43 + 17 + 249)*(1 - f - 3 + 4). -309*f + 618 Expand 0*g**2 - 4*g**2 + 0*g**2 + 3*g**2 + g**2 - 7*g**2 + (4 - 4 + g)*(-2*g + 0*g + 3*g) - 2*g**2 + 7*g**2 - 4*g**2 + 11*g**2 - 6*g**2 + g**2. g**2 Expand -6*f**5 + 3*f**5 + 24*f**5 - 2*f**5 + f**5 + 0*f**5 + (f + f - 4*f)*(f**4 - 2*f**4 + 2*f**4) - f**5 - f**5 - f**5 - 6*f**4 + 6*f**4 + f**5. 16*f**5 Expand -61*a - 151*a**3 - 109*a + 160*a**3 + (2*a + 5 - 5)*(3*a**2 - a**2 + 0*a**2) - 2*a**3 + 6*a**3 - 2*a**3. 15*a**3 - 170*a Expand (0*f**4 + 0*f**4 + 4*f**4)*(f + 3*f - 2*f + 2*f + 0*f + f + (-4 + 2 + 1)*(2 - 2 + 2*f)). 12*f**5 Expand (-21*f**4 - f**4 - 4*f**4)*(3 + 3*f + 1 - 5). -78*f**5 + 26*f**4 Expand -5 + 5 - 5*w + (0*w + w + 2*w)*(-14 + 3 + 7). -17*w Expand 10*p**3 + p**3 - 2*p**3 + (-1 + 1 + p)*(2*p**2 - 6*p**2 + 2*p**2). 7*p**3 Expand (2*f**3 - f**2 + f**2)*(25*f - 9*f + 30*f + (2 - 6 + 2)*(2*f + 0 + 0)). 84*f**4 Expand (0 + 1 + 0)*(18*v - 3*v + 5*v) - 3*v - 2 + 2 + (4 - 2 - 1)*(-4*v + 4*v + 2*v). 19*v Expand (-18 - 12 - 4)*(-b + 3*b + b). -102*b Expand (1 + 6 - 2)*(23*x - 197 + 197) + x - 4*x + 10*x. 122*x Expand (2 - 8*t - 2 + (4*t - 5*t + 0*t)*(3 + 0 - 5) - 1 + t + 1)*(-5 + 4 + 2 + (2 - 3 + 2)*(4 - 1 - 4) + 2 - 15 - 1). 70*t Expand -u**2 + 2*u**2 - 6*u**2 + u**2 + 0*u**2 - 3*u**2 + (2 - 2 + u)*(0*u - u - u) + 3*u**2 - 7*u**2 + 2*u**2 - 13*u**2 - 2*u**2 + u**2. -25*u**2 Expand 0 - 2*y**4 + 0 + (-2*y**3 - y + y)*(-4*y + 3*y + 2*y) - 26*y**4 - 35*y**4 - 7*y**4. -72*y**4 Expand (-8 + 8 + 7)*(h**3 - 2*h**3 + 0*h**3 + (-3*h + 2*h + 3*h)*(0*h**2 + 4*h**2 - 5*h**2) + 0*h**2 + 0*h**2 - h**3). -28*h**3 Expand ((b + b - b)*(-2 + 2 + 2*b) - 6*b**2 + b**2 + 4*b**2)*(31*b**2 + 2*b**3 + 0*b**3 + 361*b**2). 2*b**5 + 392*b**4 Expand (2 - 2 - p)*(-10 + 10 + 2*p) - p**2 + p**2 - p**2 + 2 - 2*p**2 + 13*p - 3 - 15*p. -5*p**2 - 2*p - 1 Expand (y**2 - y**2 + y**2)*(-4 + 6 + 3*y + 5)*(-4*y - 4*y + 6*y). -6*y**4 - 14*y**3 Expand (-111 + 219 - 90)*(-5 + p + 2 + 4)*(7 + 2 - 4). 90*p + 90 Expand (4*j**3 + 2*j**4 - 4*j**3)*(-11*j + 31*j + 39*j) - 4*j**5 + 0*j**5 + 9*j**5. 123*j**5 Expand (5*p**2 - 4*p**2 + 4*p**2)*(0 + 0 + p**2) + p**4 + p**4 + 0*p**4 + 0*p**4 - p**4 - 49*p**2 - 55*p**2. 6*p**4 - 104*p**2 Expand (4 - 3 - 5)*((4 + 4 - 6)*(5*d + 2*d - 6*d) - 3*d + 3*d - d + 0 - 3*d + 0)*(0*d**4 + 0*d**4 - 4*d**4). -32*d**5 Expand (44*p + 24 - 5 - 45*p)*((2 - 2 - 3)*(-1 + 0 - 3) - 1 - 1 + 1 + 1 - 3 + 0). -9*p + 171 Expand (4 - 6 + 13)*(2*u + 1 + 1 - 1) - 14 - 2*u + 14. 20*u + 11 Expand (-1 + 2 + 0)*(3 - 1 - 1)*(114 - 114 + 23*v)*(-2*v + 6*v - v). 69*v**2 Expand (-780*a - 34*a**3 + 780*a)*(-a**2 + 4*a**2 - 4*a**2)*(6 - 3 + 3). 204*a**5 Expand 0 - j**4 - j**4 - 1 + (0*j**2 + 0*j**2 + 2*j**3)*(6*j - 6*j - 2*j) + 20*j**4 + 159 - 159. 14*j**4 - 1 Expand (-162*j**2 + 4492*j - 4492*j + (0 + 0 + j)*(-3 + 3 - j))*(-1 + 2 + 0). -163*j**2 Expand (-40*b - 83*b - 112*b)*(-5*b + b**3 + 5*b) - 3*b**4 + 3*b**4 + b**4. -234*b**4 Expand -2*l**2 + 4*l**2 + 0*l**2 + (-3 + 4 - 2)*(0*l**2 + 3*l**2 - 2*l**2) + 2 + l**2 - 2 + (-9*l - l - 10*l + (6 - 3 - 2)*(5*l - 3*l + 0*l))*(-1 + 1 + 2*l). -34*l**2 Expand 1 + s**2 - 1 + 22*s**2 - 31*s**2 - 16*s**2 + (1 + 0 - 3)*(-2*s**2 + 2*s**2 - s**2). -22*s**2 Expand 4 + 1 - 3 + 2*j + j + 3*j - 5*j + (8 + 15*j - 8)*(1 - 3 + 1). -14*j + 2 Expand (0 - 4 - 4)*(-7 - 2 - 5)*(w**2 - 3*w**2 - w**2). -336*w**2 Expand (0*c**2 - c**2 - 3*c**2)*(65*c - 13*c + 19*c) - 2*c**3 - 2*c + 2*c. -286*c**3 Expand (-442*r**2 + 442*r**2 - 54*r**3)*(2*r - r + r) + (-3 + 5 - 4)*(2*r**4 + r**4 - 4*r**4). -106*r**4 Expand (-27 + 10*s + 27)*(4*s**4 - 3*s**4 - 2*s**4) + (2*s**3 + 3 - 3)*(0*s**2 + 4*s**2 + 6*s**2). 10*s**5 Expand (-2*p**3 - p**3 + 0*p**3)*(-289*p + 130*p + 92*p). 201*p**4 Expand 3*l**5 + 4*l**5 + 4*l**3 - 2*l**5 + (0*l + 0*l + 2*l**2)*(-3*l**3 + 0*l**3 + l**3) + 0*l**5 + 0*l**5 - 2*l**5. -l**5 + 4*l**3 Expand 873*a - 2*a**4 - a**3 + 5*a**2 - 872*a - 4*a**4 + 3*a**4 + a**4 - 2*a**4 + (3*a**2 - 4*a**2 + 0*a**2)*(-3 + 3 + a**2). -5*a**4 - a**3 + 5*a**2 + a Expand -73*b**2 + 4*b**3 + 73*b**2 - 2*b**5 + 4*b - 4*b - 3*b**5 + (0*b**3 + 2*b**3 + 0*b**3)*(4 - 2*b**2 - 4). -9*b**5 + 4*b**3 Expand (-20 + 3 + 3)*(-2*p - p - 5*p). 112*p Expand (0*w + 1 - 5*w + 2*w)*(0 - 4 + 3 + 3 - 4 + 2 + 3 + 1 - 3 + 1 - 2 - 2 - 1 + 1 - 2 + (2 + 2 - 5)*(-2 + 3 - 3) - 3 - 1 + 3 + 0 + 4 - 2). 3*w - 1 Expand (0*y + 5*y - y)*(1 - 2*y**2 - 1)*(-1 + 1 + 2*y)*(-1 - 4 - 4). 144*y**4 Expand (-m + m + 21*m**2)*(-5*m + m + 2*m) + (-5 + 5 - 1)*(3*m**3 + 6*m - 6*m). -45*m**3 Expand (1 + 1 - 3)*(-40*t + 11*t - 11*t). 40*t Expand 10 - 15*s**2 - 10 + (-2 + 3 - 2)*(-s + s - 5*s**2). -10*s**2 Expand (-1087*g**2 - 96*g**2 - 1064*g + 1064*g)*(3 - 2 + 0). -1183*g**2 Expand -2*p**3 + 2*p**4 + 2*p**3 + (-5*p**2 + 23*p**2 + 14*p**2)*(0*p**2 + 3*p**2 - 4*p**2 + (2*p + 3*p - p)*(-4*p + p + p)). -286*p**4 Expand (-2*k**3 - 2 - 3*k + 0*k**3 + 4973*k**2 - 4972*k**2)*(2 - 1 - 4). 6*k**3 - 3*k**2 + 9*k + 6 Expand (-278 + 278 - 10*z**2)*(0 + 3 + 3)*(7 - 1 - 1) + z**2 + z - z. -299*z**2 Expand (-114*v + 95*v - 269*v)*(2*v + 2 - 2). -576*v**2 Expand ((-1 - 1 + 1)*(0 - n + 0) + 5*n + 6 - 6 + (-2*n + 4*n - 4*n)*(0 - 1 + 3))*(98 - 223 + 87). -76*n Expand (-1 - 3 + 2)*(6*f - 3*f - f) + (-5 + 1 + 1)*(3*f - 3*f - 5*f). 11*f Expand (-p + 3*p - 14*p)*(-2*p - 5 + 5)*(-3*p**3 + 5*p**3 - 4*p**3) + 3*p**5 - 2*p**5 - 3*p**5. -50*p**5 Expand -3*j**4 + 5*j**4 - 3*j**4 + (-2*j**2 + 1 - 1)*(0*j**2 - j**2 + 3*j**2) + 218*j - 218*j + 38*j**4 + 5 - 5 - 2*j**4. 31*j**4 Expand (-3*y + 3*y + y)*(0 + 0 - y**2) - y**3 - 31 - y**3 + 51. -3*y**3 + 20 Expand (-1 + 17 - 2)*(0 - 1 + 2)*(-3*g**4 - 4*g**4 + 5*g**4). -28*g**4 Expand (-18 - 11 - 12)*(x - 2*x + 3*x - 6*x + 3*x + 2*x + 2*x + 0*x - 3*x + (0 - 4 + 6)*(4*x + x - 3*x)). -164*x Expand (-4*r - 5*r + 4*r)*(69*r - 2*r**2 - 1 + 0*r - 389*r). 10*r**3 + 1600*r**2 + 5*r Expand (117*v - 28*v - 10*v - 3*v - 4*v + 6*v + 0 + 0 - v + (2*v - 6*v + 2*v)*(-1 + 2 + 0))*(-4 + 2 + 0)*(4 - 7 + 0). 450*v Expand 6*f**5 - 4*f**5 + 38*f**5 + (1 - 1 + 2*f**4)*(-3*f + 3*f - 2*f). 36*f**5 Expand (b**2 - 2*b**2 - 10*b**2)*(-5 + 4 + 16) + (-4*b**2 - b**2 + 3*b**2)*(-6 + 5 + 0). -163*b**2 Expand (4*o - 4*o + 4*o**4)*(-16 - 11 + 7 - 16). -144*o**4 Expand 1 - 1 - y + (3 + 9 + 6)*(-2*y - 2*y + y) - y + y - y. -56*y Expand (2*w + 0*w**2 - 3*w**2 + w**2)*(-29 - 37 + 26). 80*w**2 - 80*w Expand (2 - 2 + 4*j**2 + (-2*j - 3*j + 4*j)*(-2*j + 4*j + 0*j) + 5*j**2 - 3*j**2 - j**2)*(-35*j**2 + 88*j - 88*j). -105*j**4 Expand (-z**4 - 4*z**4 + 4*z**4)*(-374*z + 755*z - 372*z) + 2*z**5 + 0*z**2 + 0*z**2. -7*z**5 Expand (3 + 2*g - 3)*(4*g**2 - 3*g**2 - 2*g**2) + 0*g + 0*g - g**3 + 16*g**3 + 9*g**3 - 5*g**3 - 3*g**3 + 0*g**3 + g**3 + 4*g**3 - 2*g**2 - 5*g**3 + 0*g - g. 14*g**3 - 2*g**2 - g Expand (47 - 47 - 89*l)*(2*l - 3*l + 0*l). 89*l**2 Expand 36*i + 10 - 74*i + 35*i + (-2 - 8 + 7)*(0*i + 2*i - 4*i). 3*i + 10 Expand (4*h**3 + 90*h - 90*h)*(2 + 40 - 17). 100*h**3 Expand (5 - 6 + 0)*(3*h - h - 4*h + 3 - 4*h + h + h - 2 + 2 - h + 0*h - 5*h + 3*h + (-1 - 3 + 2)*(3*h + 2*h - 3*h) + 5*h - 2*h - 5*h - h - h - h). 16*h - 3 Expand (1 - 1 + 1)*(-w**2 + 0*w + 0*w)*(1 + 3 - 5)*(-3*w + 7*w - w). 3*w**3 Expand -5*d**2 + 10 - 10 + (3*d + 0*d - 4*d)*(4 - 4 - 2)*(-4*d - 2*d + d). -15*d**2 Expand -6*r + 32*r + r**3 - 13*r + (4 - 3 + 2)*(r**3 + 1 - 1). 4*r**3 + 13*r Expand (-4*m + 4*m - 8*m)*(-1 + 6 - 3)*(-2 + 1 + 0). 16*m Expand (-2*u + 2*u - u)*(58*u - 218*u - 299*u). 459*u**2 Expand -4*i**2 + 4*i**2 + 4*i**3 + (13 + 6 + 17)*(3 - 3 + 1)*(i**3 + 0*i**3 + 0*i**3). 40*i**3 Expand -d
{ "pile_set_name": "DM Mathematics" }
? False Which is bigger: -1 or -44/1677331? -44/1677331 Which is smaller: -0.22 or -5050338? -5050338 Which is greater: 85920449/7 or 12274351? 12274351 Which is smaller: 5025 or 4999? 4999 Is -1/10389250 greater than or equal to 0? False Which is smaller: -0.1151 or 143193? -0.1151 Which is bigger: 0 or -1.75381654? 0 Do 0.1 and -10750172 have the same value? False Which is smaller: 1 or 35675054? 1 Is 7.5298 at least -1917? True Which is smaller: -16833 or 657? -16833 Is -17615654 >= -17615634? False Which is bigger: 159863 or 159331? 159863 Is 2/241 less than -6645/13? False Which is greater: -50486 or -14/3? -14/3 Which is bigger: 1 or 85/110293? 1 Is -1486666 at least as big as -0.0553? False Which is greater: 27340 or 26550? 27340 Are 5051924 and 5051904 equal? False Which is greater: 1 or -2/74014659? 1 Is -1144/51721 bigger than 0? False Is -5 <= 51023/216? True Is -31266 greater than -48761? True Which is smaller: 4055487/10 or 405548? 405548 Do 0 and 2/85824609 have the same value? False Is -4707/1346 equal to 13? False Is 107739/8452 bigger than 12? True Which is smaller: 28621969 or -2/5? -2/5 Is 26538 equal to -31.1? False Does -1 = 1979487? False Which is bigger: 7584523/27 or 280908? 7584523/27 Is 36841259/4 at most 9210316? True Which is smaller: 11346746 or 11346743? 11346743 Which is smaller: -127746 or -127730? -127746 Is 166826 equal to 3169722/19? False Is 84973 greater than 91444? False Which is smaller: 0 or -2/281073567? -2/281073567 Which is smaller: 32231 or 32185? 32185 Which is smaller: 182294 or 177873? 177873 Are 2.92028 and 13 equal? False Which is greater: 98/19359 or 0? 98/19359 Which is smaller: 1.571 or -37/45? -37/45 Is 4214.84 at least 0.014? True Which is smaller: -0.008149 or 146? -0.008149 Are -165/158 and -2/1807 equal? False Are 2/4001 and 59857 non-equal? True Does -1602114 = -17623262/11? False Which is smaller: -49060/17381 or -2? -49060/17381 Do -21294059/4 and -5323514 have the same value? False Is -655 smaller than 85860? True Which is bigger: -3 or 28245971? 28245971 Is 2349633 < 2349633? False Is 58/13316637 at most as big as 1? True Which is greater: 5/14 or 83048? 83048 Which is smaller: -8074/25485 or 0? -8074/25485 Are -244076250 and -244076251 equal? False Which is bigger: -100611871 or -1/3? -1/3 Which is smaller: 23410760 or 23410762? 23410760 Which is greater: 14110 or -1330? 14110 Which is greater: -52 or -83458? -52 Is 6982036 smaller than 6982036? False Which is bigger: 0.02 or 113/58075? 0.02 Is -4877586 not equal to -4877587? True Are 378159 and 378173 unequal? True Are 804 and 561235/697 equal? False Is -1 > 1216/16935? False Is -93119708 equal to -93119707? False Which is smaller: 65.1 or -15874? -15874 Is 593568 < 593544? False Which is smaller: -90666/59 or -1/13? -90666/59 Does -4410 = -5853? False Which is smaller: -2816547 or -2816546? -2816547 Which is smaller: 3/4 or 0.16317628? 0.16317628 Are -40905833/3 and -13635278 unequal? True Is -20474/4493 greater than -6? True Is 57013147 greater than 57013147? False Which is smaller: 1/5 or -0.6626278? -0.6626278 Is -1204439/13 > -92648? False Is -116077799 less than or equal to -116077798? True Are -76620 and 88 nonequal? True Which is smaller: 6051 or 106/7? 106/7 Which is smaller: -36 or 73.33? -36 Is 139439/435 bigger than 320? True Which is greater: -79573 or 10? 10 Does 1 = 14/16990713? False Which is bigger: 1/2 or 4899242? 4899242 Which is greater: -8/7 or 44792/17? 44792/17 Is 1074/165805 at most 0? False Are -11376 and -11978 unequal? True Are -711806/79 and -9011 equal? False Which is smaller: -3/4 or 23/58746? -3/4 Is 1514960 at most 10604717/7? False Which is greater: 1149 or -706? 1149 Which is greater: 14787376 or 14787375? 14787376 Is -1 at most -849978433/2? False Which is greater: 0.0263368 or 6/143? 6/143 Is 16855767 bigger than 16855765? True Which is greater: 0 or -3/18607187? 0 Which is smaller: -208259246 or -208259247? -208259247 Is 0.7 equal to 3369160? False Which is greater: 52/88967809 or 1? 1 Which is bigger: -1774/49619 or 1? 1 Which is smaller: 12528525 or 12528527? 12528525 Do 3059 and 275393/90 have the same value? False Is 12047098 >= 0.1? True Is 63197/21 smaller than 118? False Is -1/5386817 < -1? False Is 1 smaller than 306/554161? False Which is smaller: 21/332 or 129? 21/332 Is -17/11110 less than -0.96? False Does 2/7 = 193820? False Is 21951837 at most as big as 21951837? True Which is smaller: -174929 or -874649/5? -874649/5 Are 1.9 and 1245353 non-equal? True Is 26/93059 <= -398? False Is 743 equal to -5678? False Which is bigger: -12584 or -1.15? -1.15 Which is bigger: 1241883 or 1241917? 1241917 Which is bigger: 903/3924710 or 1? 1 Which is smaller: -104028 or -103847? -104028 Is -73143432 smaller than -365717167/5? False Which is smaller: 4093/26687 or 1? 4093/26687 Are 70711/2234 and -1/3 non-equal? True Is 1635 less than -65067? False Which is bigger: 1776 or 2604? 2604 Is -1 < 64/67783299? True Is -7/155717 < 45? True Which is greater: -2241 or -160851? -2241 Is 3096094/17 bigger than 182122? True Which is smaller: -250899 or -250989? -250989 Which is smaller: -4148 or -52/127? -4148 Is 2910307 not equal to 2910266? True Is -119666 smaller than -126853? False Is -0.2134 greater than 4438? False Does 240973 = 240949? False Is 263784 < 263776? False Is -11190 at most -10922? True Which is smaller: 69993893 or 209981680/3? 69993893 Which is greater: 0 or 107/2029676? 107/2029676 Which is greater: -7812602 or -7812609? -7812602 Is -1/4 less than or equal to -1047314? False Is 1295949 > 1295955? False Which is greater: -434 or -185541/428? -185541/428 Which is greater: -214707481 or -214707479? -214707479 Which is bigger: -63896/233 or -275? -63896/233 Are 16001 and 6226 unequal? True Which is smaller: 21/15139079 or -1? -1 Which is smaller: 31274/2975 or 12? 31274/2975 Which is smaller: 3067/7713 or 0? 0 Which is smaller: 2014 or 856? 856 Which is bigger: 497 or 12241? 12241 Is -281792 bigger than -281792? False Which is bigger: 22/31745 or 47? 47 Is 729092 at most 729101? True Is 0 greater than -1/2518522? True Which is smaller: -70381/6630 or -11? -11 Which is greater: 1 or -384/130991? 1 Which is bigger: -3251886 or -3251888? -3251886 Is 1626/145555 < -1? False Which is smaller: -3025312 or -3025313? -3025313 Is -58365/352 > -165? False Which is smaller: 32537 or 31531? 31531 Which is smaller: -6/9576655 or -1? -1 Which is smaller: 49395411 or 49395414? 49395411 Which is greater: -115118 or -8403572/73? -8403572/73 Which is bigger: -1784 or 292.3? 292.3 Which is smaller: 38 or 135284/3531? 38 Is 437264929 equal to 437264929? True Which is greater: 327/14116 or 0? 327/14116 Is -2657/4901 at most as big as 0? True Is -7 bigger than -9868/1183? True Which is greater: 131 or 14826? 14826 Do -1304267466 and -1304267466 have the same value? True Which is smaller: -3218129 or -3218123? -3218129 Which is bigger: 377590/1187 or 318? 377590/1187 Which is bigger: -21338 or -21306? -21306 Which is bigger: 0 or -23/7157677? 0 Are -0.27 and 795546 equal? False Is -173141 at least as big as -173170? True Is 1 less than 2/21588671? False Which is smaller: 147/17 or 67453.6? 147/17 Is -2/5 less than or equal to 412610626? True Which is greater: -61431 or -982875/16? -982875/16 Which is greater: -30 or -2831/134? -2831/134 Which is smaller: 10368106 or 10368107? 10368106 Which is greater: -2635616/9 or -292847? -2635616/9 Is -3665015 <= -3665016? False Is 1 less than 242/2685233? False Is 1734254 bigger than 1734248? True Which is bigger: -1 or 2/11914087? 2/11914087 Which is smaller: -47910608 or 0? -47910608 Which is smaller: -104073 or -104134? -104134 Which is smaller: -12300856.9 or 2? -12300856.9 Is -4700528/57 <= 0.1? True Which is smaller: -324 or 1647/17? -324 Is -2956/2615 greater than -1? False Is -151912772 at most as big as -151912771? True Which is greater: 553607 or 553618? 553618 Which is smaller: 85456 or 85504? 85456 Which is bigger: 30 or -128859? 30 Which is bigger: 4230 or 4725? 4725 Are 995880 and 8962913/9 nonequal? True Is -321339 at least -321333? False Is 3841/5475 greater than or equal to 1? False Are 4147 and 338/87 nonequal? True Which is smaller: 888447 or 888316? 8
{ "pile_set_name": "DM Mathematics" }
s the nearest to 1? (a) 5 (b) 6 (c) 0.2 (d) -1462.085 (e) -1/3 (f) 0.5 f Which is the closest to 1? (a) 2 (b) -2 (c) 6134 (d) -4 (e) -3.1 a Which is the nearest to -1/42? (a) -6 (b) -2/17 (c) -0.5 (d) 775 (e) -2 b What is the closest to 0.1 in -5, -4/9, 0.08, 0, -61/10? 0.08 Which is the closest to 13? (a) 81 (b) -0.5 (c) -1 (d) -4/9 (e) -7 d Which is the nearest to 86? (a) -15923 (b) -2 (c) -0.3 c What is the nearest to -11 in 2/3, 5, -1, 0.5, -169426? -1 What is the closest to 1 in -1/4, 26573, 4, 1/2, -5/3? 1/2 Which is the closest to -0.2? (a) -2.2 (b) 0.1 (c) 3 (d) -10/11 (e) 6/5 b Which is the closest to 2/57? (a) 46 (b) 69 (c) 9 c What is the closest to -4.6 in 1/13, -44, 0.09? 1/13 What is the nearest to -24.26 in 2/169, 5, -7? -7 Which is the nearest to 0.2? (a) 1 (b) -1 (c) 0.04 (d) -1063 (e) -1/5 (f) 0.4 c Which is the closest to 1/10? (a) 0.5 (b) -3.77 (c) -8.29 (d) -0.5 a Which is the closest to 1? (a) 3 (b) -0.1 (c) -25 (d) -2/13 (e) 489 (f) 50 b Which is the closest to 0? (a) 22 (b) 0.29 (c) 4 (d) 28 (e) 26/5 (f) 0.1 f Which is the nearest to 1? (a) -0.5 (b) 0.222 (c) -1/6 (d) 0.2 (e) 1.3 (f) -2/23 e Which is the nearest to 3? (a) 3 (b) 3404 (c) 0.4 a What is the nearest to -26 in 596, -103, -4/3? -4/3 What is the closest to 0.024 in -12.5, 0.29, -5? 0.29 What is the nearest to 2 in 0.3, -82.9, 2/11, -17.2? 0.3 What is the nearest to 4/11 in -31, -1, 0.07662? 0.07662 Which is the nearest to -1968? (a) 0.5 (b) 0.1 (c) 4 (d) -0.1 d What is the nearest to 0.1 in -40/7, -3/208, 0, -21? 0 Which is the nearest to 1? (a) 11 (b) 34 (c) -15157 a Which is the nearest to 154? (a) -1/4 (b) 14 (c) 0.07 (d) 2 b What is the nearest to -2 in -23, -1538/3, -1/32? -1/32 What is the closest to 1/2 in -0.1, 0, 2320.1? 0 What is the closest to -2 in -611, -0.6, 0.4, 34, -2? -2 What is the closest to 10 in -0.03, -16, 47.6? -0.03 Which is the closest to 0? (a) -2/17 (b) 0.5 (c) -4.0601 (d) -1 a Which is the nearest to 1? (a) -4/5 (b) -0.3 (c) 0 (d) 827/16 (e) -64/7 (f) 1/5 f Which is the closest to 0.4? (a) -3/13 (b) 2/7339 (c) -166 b What is the nearest to -1 in 25.9, -0.5, -541, -12? -0.5 Which is the nearest to -9.9? (a) -3/2 (b) 0.18 (c) -1 (d) -1/3 (e) 0.4 (f) 0.1 a What is the nearest to 1 in 0.1099, -0.5, -1/9, 34, -2, 1? 1 Which is the nearest to 4/3? (a) -12 (b) -2/13 (c) 62/11 b Which is the nearest to -0.1? (a) -890.5 (b) 1 (c) -0.5 (d) -6 c Which is the closest to -1? (a) 1/2 (b) 1.1 (c) 140121 a What is the closest to -0.09 in -0.4, 27, 1/2, -0.2, -7/3? -0.2 Which is the nearest to 2? (a) 0.2 (b) 1/3 (c) -5/3 (d) 1/4 (e) -4 (f) -52337/4 b What is the closest to 116 in 4, 1, 3, 0.05, 88/17? 88/17 What is the nearest to -1/3 in 11.2, 0.07, 11, 0.04, -3? 0.04 Which is the closest to 2/83? (a) -3/38 (b) -0.2 (c) -1 (d) 0.04 d Which is the nearest to -0.058581? (a) -1/9 (b) 2 (c) -0.4 (d) 0.5 a What is the closest to 27 in -12, 74, 0.1, -1, -2, -0.3? 0.1 Which is the nearest to -2/7? (a) -0.1 (b) -3 (c) -97 (d) 0.02 (e) -13/4 a What is the nearest to -0.3 in 5, -0.29, -4, -296? -0.29 Which is the closest to 0? (a) 60/17 (b) -115 (c) -10 a Which is the closest to -0.07? (a) 5.51 (b) -9 (c) -7/62 c What is the closest to -211 in -5/16, 0.014, 5? -5/16 Which is the closest to -1? (a) -0.2 (b) -1.471 (c) 635 (d) -0.9 d What is the closest to 2/5 in -73, 3, -2/125, -1? -2/125 What is the nearest to 0.025 in 0.3, -2/71, 1/2? -2/71 Which is the closest to 1? (a) -933/53 (b) -0.4 (c) 0 c What is the closest to 1 in -11/43, -1/6, 0, 2/287, -5? 2/287 What is the closest to 1 in -1/7, -0.3, -440547, -1/4? -1/7 Which is the nearest to 1/4? (a) -5/3 (b) -2/17 (c) 1 (d) 4/99 (e) -55 d What is the closest to -100/59 in 0.28, 5, -0.3, 4, -0.1? -0.3 What is the closest to 1 in 1/6, 0.149466, -4, 0.5? 0.5 What is the nearest to 5/4 in -1/2, -17, -0.14, 38/9, 1/5? 1/5 What is the closest to -0.9 in -0.1, 0.01, 3, 1.54? -0.1 Which is the nearest to 132? (a) -132 (b) 0.4 (c) 0 (d) -0.5 (e) -4 (f) -3/7 b What is the nearest to -11/2 in -2/11, -0.6713, 2? -0.6713 What is the closest to 0 in 0, 1, 138850, -0.5? 0 What is the closest to 0.1 in -4, -6, -120/5159, -1, 3/7, -24? -120/5159 Which is the closest to 1? (a) 3 (b) -5/32 (c) 0.3 (d) 4 (e) 345 c What is the closest to 0.2 in 2/17, -0.4, 16, -79/145? 2/17 Which is the closest to -0.2? (a) -0.31 (b) -200198 (c) -4 (d) 0.2 a What is the closest to 0 in 48/11, -3/2, 0.4, -143, 7? 0.4 Which is the closest to -1083? (a) -0.04 (b) -2 (c) -5 (d) 0.2 c Which is the closest to 5/4? (a) -1/4 (b) 0.9 (c) 1/9 (d) 0 b Which is the closest to -0.2? (a) -0.4 (b) 5 (c) 0.73 (d) -4332.6 a Which is the closest to -1? (a) -20 (b) 0.4 (c) -2/2407 c Which is the nearest to -29? (a) 1788.4 (b) -0.2 (c) 3/5 (d) -3 d Which is the nearest to 12? (a) 3 (b) 22/3 (c) -9/10 (d) -2/31 b Which is the nearest to 4? (a) -0.03 (b) -5 (c) 5 (d) 182 (e) -7/5 c What is the nearest to -0.01 in -211/9, -19, -0.02? -0.02 What is the closest to 7.3 in -186, 2/9, -0.048? 2/9 What is the closest to -7 in -3/7, 106/13, 70, 0.4? -3/7 Which is the closest to 245? (a) -1/2 (b) -8/3 (c) 2/13 (d) -2 (e) -25 (f) 1 f Which is the nearest to 2212? (a) -5/2 (b) -3/4 (c) -6 (d) -3 (e) 0.01 (f) 3 f Which is the nearest to -1? (a) -2 (b) -2/15 (c) -44279 b Which is the nearest to 1/54? (a) 2 (b) 14 (c) -3 (d) -0.189 (e) 6/7 d Which is the nearest to 1? (a) -2/5 (b) -0.3 (c) -14.2 (d) -0.576 b Which is the closest to 2? (a) 0.32 (b) 15 (c) 1/6 a Which is the nearest to 0.2? (a) 318 (b) -7 (c) 63 (d) -4 d What is the closest to 1 in 15, 28, -1/14, 29? -1/14 Which is the closest to -2? (a) -5 (b) 5/8 (c) -1/4 (d) 2/5 (e) 98903 (f) 3 c What is the nearest to -169 in -1, 3, -0.4, -142? -142 Which is the nearest to 0? (a) 2/143 (b) -1/2 (c) -5/9 (d) 1.3 a Which is the closest to -1? (a) 317 (b) 756/31 (c) 7 (d) 2/3 d What is the closest to -14.7 in 4/487, 10, 1? 4/487 Which is the closest to -2/449? (a) -0.07 (b) -0.1 (c) -3/4 (d) 1/2 (e) -3.75 a Which is the nearest to -16? (a) 2 (b) -9 (c) -1/6 (d) 27/5 (e) -1 b Which is the closest to -1/4? (a) -2.13 (b) 1 (c) 27.5 (d) 4 (e) 1/4 e Which is the nearest to -0.4201? (a) 4249 (b) -1 (c) -6 b What is the nearest to 1 in 0.14, 30913, -3/7? 0.14 What is the closest to 1 in -2, -0.1, 0.06, 19.9, -0.32, -11? 0.06 Which is the closest to -1/4? (a) -2 (b) 23 (c) -4/487 c What is the nearest to 0.1 in 11, -20/4329, -18? -20/4329 Which is the nearest to -0.1? (a) -65 (b) 0.5 (c) -3/7 (d) 158439 (e) -5 c What is the nearest to 2 in -0.7, -0.048145, 0, -4? 0 Which is the nearest to 1? (a) -359 (b) -3 (c) -17899 b What is the closest to -221 in 1, -1430, 3.5, 3? 1 What is the nearest to 1/4 in 2, 3/2, 0.567312, -0.1, 1? 0.567312 What is the nearest to -2/9 in 2/81, 1, -2/3, 25318? 2/81 What is the nearest to 2/9 in -4, -18, -10/117, 1/3, 4? 1/3 Which is the closest to 2/5? (a) -1/4 (b) -74.5 (c) 5/2 (d) -9 (e) 5 a What is the nearest to 3263 in -0.4, -2, -15, 4/9, 1? 1 What is the closest to 17/14 in 2/7, 68, -4/5? 2/7 Which is the nearest to -853/3? (a) -2/3 (b) -12 (c) -1/18 b Which is the nearest to 2/9? (a) 5183 (b) 58 (c) 2 (d) -4 (e) 2/7 e What is the closest to -1/2 in -2/7, 1, -2/19, 6/11, -66, 5/9? -2/7 Which is the closest to -1/137? (a) 0.24 (b) 0 (c) -41 b What is the nearest to 28 in -9, 31.23, 3? 31.23 What is the closest to 14 in -10.3, -1, 655? -1 What is the closest to -4/21 in 7, -0.4, -3.38, -2/3? -0.4 Which is the closest to 2? (a) 1/5 (b) 73 (c) -2.3 (d) -4 a What is the closest to 3/2 in 7.94, 0.08, -1.06? 0.08 Which is the closest to 14? (a) 2 (b) -0.13 (c) -6150 a Which is the closest to -0.05? (a) -2 (b) -1/3 (c) 6.3 (d) 29 (e) -0.4 b What is the nearest to 0.1 in 0, 868, -1, 222? 0 What is the nearest to 0.4 in -0.04, 3/2, 0, 743.2, 2? 0 What is the nearest to 128 in -4, 0.2, 0.0107, -3/2, -5? 0.2 Which is the nearest to -0.2? (a) 0.4 (b) -0.5 (c) 3.7 (d) 0.05 (e) -0.1 e Which is the nearest to -0.29? (a) 391 (b) -0.1
{ "pile_set_name": "DM Mathematics" }
Evaluate (32 - -9) + -31 - (9 + 1). 0 What is the value of (-21 - 21 - (-5 + -7 + 6)) + -1? -37 What is -1 + -6 - (-10 + 14 + -18 - -8)? -1 Evaluate -26 - (-34 - (-54 + 32)). -14 Evaluate -3 + 6 + (1 - (7 + -9)) + -7. -1 What is -5 - (1 + (-3 - (-18 + 6) - 18))? 3 19 + -30 + 1 + 5 + 9 4 What is 22 - (-41 + 21 - -44)? -2 Calculate -43 + (-11 - ((-3 - (2 - 0)) + -9)). -40 Evaluate -3 + 2 + -2 - 6. -9 21 + -34 + -2 + -8 + 12 -11 Evaluate 10 - -2 - (12 + (-4 - 7)). 11 Calculate 36 - (-20 - (-34 + -1)). 21 -1 - 1 - (-12 + (24 - 23) + 40) -31 Calculate -2 + -2 + 1 + 9 - (33 + -32). 5 What is 5 + (-14 - 1) + 6 + (-6 - 0)? -10 Evaluate (29 - 27) + 19 + -9 + 0. 12 Evaluate -7 + (-4 - -4 - -10). 3 Calculate (-10 - (3 + -6) - 0) + 24 + 0. 17 What is the value of (6 - 27) + 29 + -35 + (3 - 1)? -25 Evaluate 2 + 7 - (-56 - -78). -13 Evaluate (14 - (-4 - 5)) + 20 + -25. 18 What is 8 + (-5 - (-8 + -2)) + -21 + 4? -4 What is 1 - (151 + -145 + (-1 - 2))? -2 What is the value of -20 - ((18 - 75) + 17)? 20 Evaluate -8 + (-13 - (-14 + -19)). 12 -17 - (1 - 0) - (6 - (-5 + 2)) -27 Calculate -1 + 29 + 1 - (-74 - -54 - -29). 20 -10 - 2 - 8 - -11 -9 Calculate (-26 - -24) + (-17 - -12) + (2 - 0). -5 What is the value of 5 + -8 + (-7 - 0) - (-19 + -21)? 30 What is 9 + 2 - (-3 - -9) - -2? 7 Calculate -8 - (-15 - 2) - 7 - -5. 7 What is the value of 8 - 1 - (-1316 - -1316)? 7 Calculate (2 - 17) + 350 + -328. 7 What is the value of (-30 - (4 + -27)) + -1 + -4 + 15? 3 Calculate 7 + -8 + -32 + 7 + -7. -33 What is 12 - (8 + 14) - (6 + -16)? 0 Calculate (5 + 0 - 0) + 2 - (-4 + 4). 7 What is the value of -3 - -17 - (-7 - (1 - (-3 - -7)))? 18 Evaluate 12 + -2 + (209 - 227). -8 Evaluate 36 + -16 + 1 + 11 + (-11 - 0). 21 What is -1 + -282 + 289 + -39 + 1 + 1? -31 What is the value of 9 + (1 - 1) - (75 - (107 - 35))? 6 Calculate 6 - 11 - -12 - 5. 2 Calculate -2 + 1 - 19 - (144 - 152). -12 Evaluate -5 + 16 - (-17 + -8 + 16) - 2. 18 Evaluate (67 - 54) + -1 + -19. -7 What is the value of 4 - ((4 - 10) + 2 + (21 - 19))? 6 What is the value of 2 + -3 + -3 - (-74 - -78)? -8 What is the value of (28 - (-7 + 2)) + (7 - 17 - -4)? 27 Calculate (18 - (16 + -1)) + -3 + 9 + 6. 15 Evaluate -58 - -81 - (0 + 28). -5 Evaluate -7 + -2 - (-2 + -5 + 4). -6 What is the value of 6 - (8 + -7) - 1 - 15 - 2? -13 What is the value of (-10 - 2 - -4) + (1 - 4) + 4? -7 Evaluate -11 - -3 - (24 + (-38 - -20)). -14 -4 + (-13 - 1) + 2 - (-235 + 239) -20 What is the value of 10 - ((-15 - (2 + -1)) + 14)? 12 What is the value of 10 - (11 + 4 - (18 + -22))? -9 What is 1 - ((12 - 1) + (0 - 8))? -2 Evaluate 4 + -1 + -17 + 1 + 20. 7 Evaluate 29 + -1 + -10 + (-7 - 0). 11 What is the value of 33 + (-51 - 3) + 0? -21 1 - 11 - (68 + -71 + (-1 - 2)) -4 7 - (-5 + -11 - -18) 5 What is the value of (0 - -8) + (-12 - -16) + (3 - -1)? 16 Evaluate 0 + (29 + -15 - 15) + 3 + -2. 0 Calculate 7 - (8 - 9) - 8 - (-1 + -3). 4 Evaluate 0 + -2 + -3 - (4 + 2). -11 Evaluate (4 - 4) + -3 - (51 + -53). -1 What is the value of -10 + 9 + (23 - 21)? 1 What is the value of 52 - 2 - (2 + 42 + -30)? 36 6 + 0 + -1 + 4 - 0 9 Evaluate -5 + (-9 + 16 - -3). 5 What is the value of -14 + (-7 - ((-22 - -9) + 14))? -22 Calculate 1 + -6 - (232 + -232). -5 (-21 - (-38 + 21)) + 30 + -4 + 2 24 Evaluate 5 - 11 - -8 - (-1 - -4). -1 What is 9 + -3 - (0 + 3 - -5)? -2 -18 + -17 + -13 + 37 -11 7 + 3 + (7 - 8) - 8 1 Calculate 16 + (-13 - (-14 - -10)). 7 What is the value of -2 + -1 - ((-38 - -25) + 8)? 2 -4 - (4 - (-7 - (5 + -10))) -10 -21 - (-10 + 9 + -3) - -6 -11 What is the value of 51 - 32 - (3 + -5)? 21 -17 - (-11 + (38 - 33)) -11 What is -6 + 10 + (8 - (-10 + 3 + -8))? 27 -107 + 67 - (-15 - -6) -31 What is the value of (-18 - (-22 + 4)) + (10 - (4 + 0))? 6 (-3 - 11) + (-1 - (7 - 7) - -7) -8 What is the value of (-26 + -9 - -15) + 34? 14 Calculate -2 + 13 + -11 - 12. -12 What is the value of (-12 - 24) + 25 + -1? -12 Evaluate -90 + 31 + 51 + -1 + -3. -12 14 - (5 + -3) - (-10 + -19 + 19) 22 What is the value of -12 + (5 - 0) - (-20 - -9) - 0? 4 -63 + 69 + -15 + 1 -8 What is the value of -10 - (11 + -41 + 19)? 1 What is (-1 - 0) + (-2 - (1 + -2 - -2))? -4 What is (183 - 187 - (0 - -7 - 2)) + -2? -11 6 + -6 + -3 + (-6 - 7) + 0 -16 Calculate (7 - (0 + -1)) + (-2 - 2). 4 What is -4 - (-8 - -2) - (5 - 4)? 1 Evaluate (6 - -3) + -28 - (-11 + 16). -24 26 + (0 - 0 - (-40 + -38 + 69)) 35 What is the value of 3 + -7 + -84 + 90? 2 Calculate 0 - (11 - 13) - (4 + -4). 2 Evaluate 13 + -25 - ((-8 - 0) + -5). 1 Evaluate (3 - 6) + (5 - (18 - 19)). 3 What is -13 + -1 + -47 + 30 + 23? -8 What is (-7 - -5 - 1) + -3 + (7 - -1)? 2 What is (-13 - (-1 + -4 + 7 - 6)) + -9? -18 What is the value of -8 + 1 + -14 + 31? 10 What is the value of -69 + 89 + 5 + -5? 20 What is the value of 54 + -50 + (4 - (1 + -1 - -3))? 5 What is (9 - (2 - 3 - -18)) + -4? -12 (34 - (10 - -9)) + -15 0 Evaluate -22 + 1 + (-1 - -21). -1 (7 - 20) + -2 - (-2 + 0 + -1) -12 What is the value of -3 + (2 - 2) - (-32 + 17 + 5)? 7 Evaluate (7 - 0) + -4 + -2 + (9 - -2). 12 38 - (-23 + 36) - 13 12 Calculate -27 + 0 + -1746 + 1781. 8 What is -33 - (6 + -10) - -53? 24 What is 6 - (6 + -17) - 17? 0 Evaluate -20 + 13 - (4 - (7 - 2) - 3). -3 3 + 3 + -7 + -1 - 0 - -5 3 What is the value of -1 - (0 + 12 + -8 + -19)? 14 Calculate 100 + -104 - ((7 - 9) + -3). 1 Evaluate -13 + 4 + -5 - -11. -3 Calculate (-18 - -35) + -9 + 0 + -20 + -8. -20 5 + -21 + 5 + (-5 - (-1 - 3)) -12 What is the value of -1 + -13 - (158 + -165)? -7 What is the value of -9 - (16 + 4 + -14)? -15 Calculate 3 - (19 - 36) - 16. 4 Calculate 9 + 1 - (27 + -27 - -23 - -18). -31 11 + (26 - 39) - 0 -2 8 + (22 - 40) + 1 + -4 -13 Evaluate -12 - (-36 + (-21 - -32)). 13 What is 3 - (10 - (-18 - -37))? 12 Calculate 1 - (14 - (33 - 14) - (-1 + -2)). 3 Evaluate (19 - 28) + (2 - 7 - -1). -13 Calculate -6 + (14 - -1) + (-6 - (-7 - -17)). -7 Calculate (-2 - (-1 + -4)) + (-155 - -141). -11 Evaluate 25 + -18 + -30 + 40. 17 Calculate -23 + (7 - 2) + -39 + 40. -17 What is 1 - (-2 + -13 - -5 - 2)? 13 What is the value of 27 + (-1 - 20) + -13? -7 What is (-8 - (1 - 1)) + 14 + (11 - 3)? 14 8 - (-5 + -24 + 18) 19 Calculate 15 + -29 + -9 + 10. -13 Calculate 10 + -20 + -3 + 2. -11 Evaluate -9 - (-6 + (3 - -8 - -5) + -10). -9 (3 - 1 - -9) + (-1706 - -1696) 1 What is (233 - 249 - ((1 - -1) + 0)) + 7? -11 Evaluate 0 - 0 - ((-33 - -18) + 16) - 3. -4 What is 26 - (37 + -14 + 7)? -4 Calculate 828 + -828 + (14 - -1). 15 What is 2 + -7 + (-19 - (-18 - -3))? -9 What is 3 - (19 - (27 - 16))? -5 What is -24 + (-7 - (-15 + (5 + -4 - 1)))? -16 Evaluate 13 + -21 + -35 + 20. -23 What is the value of 8 + (12 - 12) + -14 - -25? 19 What is the value of 20 + -5 - (-1 + 0 + 11)? 5 Evaluate (4 - -14) + (2 - 41). -21 What is the value of -11 + -11 + -2 + 13? -11 11 + 19 + 127 + -172 -15 2 - ((1 - 6) + 7 - 10) 10 Evaluate 0 - (12 - 1 - (29 + -21)). -3 What is 2 + 9 + -19 + 0 - (13 + -5)? -16 What is (-4 - (-4 + -1)) + (-9 + 7 - -9)? 8 What is the value of 2 - (19 + 6) - -19? -4 What is -1 + (-30 - -55) - 12? 12 What is the value of (46 - 21 - -1) + -24? 2 What is -37 + (-22 - (19 - 101))? 23 Evaluate (-27 - -13) + -24 + 24. -14 What is -1 + 0 + 1 - (-3 - -41 - 53)? 15 Calculate (42 + -36 - (-3 - -5)) + -26. -22 Calculate (1 - (1 + -5)) + -1 + (-107 - -102). -1 What is -103 + 106 + (4 + -6 - 3)? -2 Calculate (8 - 7) + 13 + -1 + 0. 13 Calculate -12 + (381 - 375) + (1 - (4 - 1)). -8 Evaluate (34 + -50 - -18) + -19. -17 Evaluate 17 + 3 - 13 - -11. 18 What is (-13 - ((13 - 12) + 1)) + -1 + -7? -23 What is 40 - 16 - (7 - -2)? 15 (39 - 15) + -62 - -11 -27 What is the value of (-15 - -10) + 14 + 2 - 12? -1 What is 13 + 0 - (37 + -23 + 13)? -14 13 - (10 + -12 - (-1 - 2 - 0)) 12 What is -20 + 0 + -3 - (-4 + 11 - 8)? -22 Evaluate 3 - -7 - 11 - (-6 - 3). 8 105 + -72 + 31 + -30 34 What is the value of 1 + 27 + (19 + -18 - -5)? 34 What is the value of 6 + ((-4 - -8) + 9 - (6 - -3))? 10 5 + (2 - 1 - -1 - (-156 - -155)) 8 What is (-8 + -1 - (-14 + -2 + 20)) + 1? -12 Calculate -1 + 6 + (1 + 10 + -19 - -4). 1 Calculate -22 - -6 - (-101 + 100 - (0 - -6)). -9 What is the value of 2 + 5 + 1 - (-27 - (-54 + 32))? 13 What is the value of (6 - -2) + -6 + (-7 - -14)? 9 What is the value of (-1 - 4 - (-5 - 8)) + 1 + 0? 9 What is the value
{ "pile_set_name": "DM Mathematics" }
12*n + 6*s**2 Find the first derivative of -1201*m**4 - 2948 wrt m. -4804*m**3 What is the third derivative of -1426*j*o**3*p**3 - 3*j*o**3*p**2 + 4*j*o*p**2 - o**3*p**3 - 2*o**3*p**2 + 2*o**2*p**2 + p**2 wrt p? -8556*j*o**3 - 6*o**3 Find the third derivative of 1315*f**5 - 1853*f**2. 78900*f**2 Find the second derivative of 6*v**2 + 19*v + 13. 12 What is the third derivative of -3*a**3*h**3*s**2 - 180*a**3*h**2*s**2 - 6*a**2*s**2 + 3*a**2*s - 2*a*h**3*s + a*s**2 wrt a? -18*h**3*s**2 - 1080*h**2*s**2 Find the second derivative of 2*v**5 + 53*v**4 - 6*v**3 + 771*v. 40*v**3 + 636*v**2 - 36*v Find the third derivative of -h**3*u**2 - 304*h**3 - 21*h**2 + h*u**2 wrt h. -6*u**2 - 1824 Find the first derivative of 421*d**2 - 468 wrt d. 842*d Find the third derivative of -139*j**2*k**2*l**3 + j**2*k**2*l**2 - j**2*k**2*l - 2*j**2*k**2 - 133*l**2 wrt l. -834*j**2*k**2 Find the third derivative of -2*j*l**6 - 5*j*l**5 + 2*j*l**2 - 10 wrt l. -240*j*l**3 - 300*j*l**2 Find the second derivative of -5*p**3 + 160*p**2 - 806*p + 2. -30*p + 320 Find the second derivative of -5*m**3*q**3 - m**3*q**2 - 25*m**3 - 14*m*q**3 + q - 1 wrt q. -30*m**3*q - 2*m**3 - 84*m*q What is the first derivative of 2246*a**2*j**3 + 85*a**2 + a + 1 wrt j? 6738*a**2*j**2 Find the second derivative of 474*i**2*m**3 - i**2*m + i*m**3 + 24*i wrt m. 2844*i**2*m + 6*i*m What is the second derivative of -3*c*j**2 - 2*c*j - 2*c + 31*j**2 + 2*j wrt j? -6*c + 62 What is the derivative of -2*g**2*i + 153*g*i*n + 17*g*n - 3*i*n - 41*i + 3*n + 1 wrt g? -4*g*i + 153*i*n + 17*n Find the third derivative of g**4 + 16*g**3 - 99*g**2 wrt g. 24*g + 96 What is the second derivative of -k**5 - 111*k**2 + 343*k? -20*k**3 - 222 Find the first derivative of -3*g**2*u - 8*g*u + 9*g + 2326*u - 2 wrt g. -6*g*u - 8*u + 9 What is the derivative of 6*i*x**3 + 98*i*x + 142*i + 3 wrt x? 18*i*x**2 + 98*i What is the derivative of -9416*i + 11731? -9416 What is the third derivative of -17*b**4*f*h + b**4*h + 41*b**3*f - 53*b**2*f*h - 2*b**2 + 19*f wrt b? -408*b*f*h + 24*b*h + 246*f Find the first derivative of 2*b**2*h + 31*b**2 - 8*b - 252*h wrt h. 2*b**2 - 252 Differentiate 2*l**2*m + l**2*z - 42*l*z + 2*l + 277*m*z + 3*z wrt l. 4*l*m + 2*l*z - 42*z + 2 What is the derivative of -634*w**3 + w - 3816 wrt w? -1902*w**2 + 1 What is the second derivative of 768*m**2*r**2 - 2*m**2*r + 188*m*r + m wrt r? 1536*m**2 Differentiate -b*w**3 - 7*b*w - 23*b + 3*w**4 - 7 with respect to w. -3*b*w**2 - 7*b + 12*w**3 What is the third derivative of -182*w**4 + 5*w**2 + 213 wrt w? -4368*w Find the second derivative of 832*k**2 + k + 15. 1664 What is the second derivative of -i*o**3*w**3 + 2*i*o**2*w**3 - i*o*w**2 + 21*i*w**3 - 27*o**2*w - 3*o*w wrt o? -6*i*o*w**3 + 4*i*w**3 - 54*w Differentiate -6*a*t + 2*a - 6*t**2 + 3*t - 1427 with respect to t. -6*a - 12*t + 3 What is the second derivative of -11*n**4 - 461*n**2 + 13901*n? -132*n**2 - 922 What is the third derivative of -4349*c**2*d*n**3 - 7*c**2*n - d*n**3 - 24*d*n**2 - 4*n**2 wrt n? -26094*c**2*d - 6*d What is the third derivative of 1229*c*h**3 + 169*c*h**2 + 9*c wrt h? 7374*c Differentiate 3*r**3 + 65*r**2 + 2*r - 4248 with respect to r. 9*r**2 + 130*r + 2 What is the third derivative of 467*g**5 - 8*g**2 + 13 wrt g? 28020*g**2 What is the derivative of 49*s**2 - 74*s - 23776 wrt s? 98*s - 74 What is the first derivative of 4*o**3*y**2 + 6*o**2*y**2 - 6*y**2 + 8 wrt o? 12*o**2*y**2 + 12*o*y**2 Differentiate -4404*a*b + 45*b - 37 wrt a. -4404*b What is the second derivative of -153*a**2*f**3 - a**2*f**2*x - a**2*x**2 + 3*a*f**3*x**2 - 5*a*f**3 + 24*x**2 wrt a? -306*f**3 - 2*f**2*x - 2*x**2 Find the first derivative of -718*a*b**2*q**3*w - a*b**2*q*w**2 + b**2*q**3*w**2 - 3*b**2*q - 9*b*q**2*w - 3*q**3*w**2 wrt a. -718*b**2*q**3*w - b**2*q*w**2 Find the third derivative of 2*g**3*w**3 + 2*g**3*w**2 - 52*g**3*w + 2065*g**2*w**3 + 46*g**2 wrt w. 12*g**3 + 12390*g**2 What is the third derivative of 4*a*p**5 - 12*a*p**3 + 4*a*p**2 + a - 8 wrt p? 240*a*p**2 - 72*a What is the second derivative of -133*d**3 - 4*d**2 - 1079*d wrt d? -798*d - 8 What is the third derivative of 145*b**4 - 2*b**3*m**2 + b**2*m**2 - 2646*b*m**2 wrt b? 3480*b - 12*m**2 What is the third derivative of 1325*h**3*w**3 - 223*h**3*w + h*w**3 - 2*h*w**2 - 2 wrt w? 7950*h**3 + 6*h What is the second derivative of 61*c**3*h*y**2 - 5*c**3*h - 3*c**2*h*y + c*h*y**2 + 2*c*h*y + 5*h*y**2 + 12*y**2 wrt c? 366*c*h*y**2 - 30*c*h - 6*h*y Find the third derivative of -2*x**3*z**3 - 304*x**3*z**2 - 73*x*z**6 wrt z. -12*x**3 - 8760*x*z**3 Differentiate -16*o**3*p**2 + 186*o**3 + 24*o**2*p**2 + o*p - 6*o with respect to p. -32*o**3*p + 48*o**2*p + o What is the second derivative of 649*c**5 + 13*c**3*p - 3*c*p + 2*c + p + 25 wrt c? 12980*c**3 + 78*c*p Find the second derivative of -8467*c**2*d**3*z**2 - 2*c*d**3*z + 46*c*d*z**2 - 19*d**2*z**2 wrt c. -16934*d**3*z**2 Find the third derivative of -2369*m**4*v**3 + 32*m**2*v**3 - 2*m**2 + 3*m*v**3 wrt m. -56856*m*v**3 Find the third derivative of -d**4*w**3 - 2*d**4*w**2 - 66*d**3*w + 134*d**2*w**3 - 5*w**3 wrt d. -24*d*w**3 - 48*d*w**2 - 396*w Find the third derivative of 1434*x**3 - x**2 - 772*x wrt x. 8604 What is the derivative of 787*a**3 + 622 wrt a? 2361*a**2 What is the third derivative of -2*c*y**6 - 41*c*y**2 + 8*c - 73*y**6 - 2*y**4 wrt y? -240*c*y**3 - 8760*y**3 - 48*y What is the derivative of 2*n**2*v*z**3 - n**2 - 1712*n*v*z**2 + 2*v + 472 wrt z? 6*n**2*v*z**2 - 3424*n*v*z What is the second derivative of -2*b**2*p - b**2 + 3*b + 8*p wrt b? -4*p - 2 What is the second derivative of 2*b*u*w**2*x + b*u*w + 2*b*u*x + 3*b*w**2 + 42*b*x + 29*u*w**3*x - 2*x wrt w? 4*b*u*x + 6*b + 174*u*w*x Differentiate -3*p*q - 1609*p - 148*q**2 wrt q. -3*p - 296*q What is the third derivative of -3*a*n**5 + 2*a*n**3 - 3*a + 6*n**4*s + 9*n**2 + s wrt n? -180*a*n**2 + 12*a + 144*n*s What is the second derivative of -6*c**5 + 545*c**3 + 94*c + 7? -120*c**3 + 3270*c Find the third derivative of -25*f**2*r**3*u**3 - f**2*r**3*u + f**2*r*u**4 - 20*f**2*r - 4*f*r**2*u**2 wrt u. -150*f**2*r**3 + 24*f**2*r*u Find the third derivative of -16205*h**3 + 2*h**2 + 20*h - 40 wrt h. -97230 Find the first derivative of -2*m*p**3 - 233*m + 171*p**3 + 3*p wrt m. -2*p**3 - 233 What is the first derivative of 9*j*q**3 - 745*j*q**2 - 2546*j - q**3 wrt q? 27*j*q**2 - 1490*j*q - 3*q**2 Find the third derivative of -2*z**6 + 115*z**4 - 46*z**2 wrt z. -240*z**3 + 2760*z Find the second derivative of -135*u**4 + u**2 + 2521*u. -1620*u**2 + 2 Find the third derivative of -5*o**5 + 78*o**3 + 5*o**2 - 37*o wrt o. -300*o**2 + 468 Find the second derivative of -p**3*q + p**3 + 7*p**2*q + 27*p**2 - 701*p*q - p wrt p. -6*p*q + 6*p + 14*q + 54 What is the third derivative of k**6 + 9*k**3 - 518*k**2? 120*k**3 + 54 What is the derivative of c*k**2 + 52*c*k*p + 112*c*p + 2*k**2*p + p + 2 wrt k? 2*c*k + 52*c*p + 4*k*p What is the third derivative of 66*g**4 + 21*g**3 - 2*g**2 + 3? 1584*g + 126 What is the third derivative of -624*u**3 + 80*u**2 wrt u? -3744 What is the first derivative of 254*o - 375? 254 Differentiate -10*f**4 + 8*f + 220 wrt f. -40*f**3 + 8 Differentiate 441*i*j**3*n**2*w - 5*i*j*n**2*w - j**3*n**2 - 4*j*w + 203*n**2*w wrt i. 441*j**3*n**2*w - 5*j*n**2*w What is the third derivative of -251*h**3 + 174*h**2 + 2? -1506 Differentiate 807*z**2 + 5*z - 993. 1614*z + 5 What is the second derivative of 265*f**3 - 1946*f wrt f? 1590*f Find the third derivative of a*m**3*o**2 - 10*a*m**3*o - 6*a*m**2*o**2 - 33*a*m**2 - 2*a*m*o**2 - 7*m**3*o + m**2*o**2 + 4*m*o wrt m. 6*a*o**2 - 60*a*o - 42*o Find the second derivative of 5*c*k**3*r**2*v + 9*c*k*v + 29*c*r**2*v**2 - c*r*v**2 - k**3*r**2*v - k**3*r**2 + 35*k**3*r*v**2 wrt v. 58*c*r**2 - 2*c*r + 70*k**3*r Find the third derivative of 1834*t*v**3*z**3 - t*v**3*z**2 + 102*t*z - 2*v**3*z**3 + 8*v**3*z**2 wrt z. 11004*t*v**3 - 12*v**3 What is the third derivative of -1416*i*y**4 + i*y**2 - y**2 wrt y? -33984*i*y Find the third derivative of x**4 + 1652*x**3 + x**2 + 75 wrt x. 24*x + 9912 What is the third derivative of -9824*b**4 + 230*b**2 - 7 wrt b? -235776*b Find the first derivative of 312*b**3*p + b**3 - 8*b wrt p. 312*b**3 Find the third derivative of 84
{ "pile_set_name": "DM Mathematics" }
1/((12/g)/4). Suppose -w*y + 62 = 2. What is the units digit of y? 0 Suppose 0 = -w + 3*y + 878, 0*y = -5*w + 2*y + 4455. What is the hundreds digit of w? 8 Suppose v - 1560 = -z, 0 = 3*v - 7*v + 3*z + 6233. What is the tens digit of v? 5 What is the hundreds digit of (3150/60)/((-9)/(-66))? 3 Suppose x + 0*x = 4. Let z = -96 + 99. Suppose 0 = 4*s + t - 132, -x*t + 0*t = -z*s + 118. What is the tens digit of s? 3 What is the hundreds digit of 4056/(-3 + 11) - -5? 5 What is the tens digit of 34272/36 + -2 + 7? 5 Let c(h) = 13*h - 1. Let k be c(2). Suppose 28 = 11*w - 9*w. Let u = k - w. What is the units digit of u? 1 Suppose 5304 = 28*t + 6*t. What is the units digit of t? 6 Let m(t) = 154*t + 17. What is the hundreds digit of m(1)? 1 Let j = -15 + 15. Suppose k = -j*z - 2*z + 18, 3*z = k + 27. What is the units digit of z? 9 Let o = -72 - -231. Suppose 4*v = v - o. Let d = v + 83. What is the tens digit of d? 3 Let v = -85 + 31. Let n = v + 63. What is the units digit of n? 9 Let q = 365 - -393. What is the hundreds digit of q? 7 Suppose 5*x - y = 104, x + y - 5*y = 17. What is the tens digit of x? 2 Let m(h) = h**3 - 13*h**2 + 2*h - 19. Let s be m(13). Let g(y) = -y**3 + 8*y**2 - 5*y + 10. What is the units digit of g(s)? 4 Let w(b) = b**3 - b**2 - 22*b + 9. Let g be w(-5). Let i = 21 - g. What is the units digit of i? 2 What is the tens digit of -4 + 0 + 5219 + 18? 3 Let r(x) = -4*x**3 - 2*x**2 + 18*x + 66. What is the hundreds digit of r(-4)? 2 Let d = 68 - 66. Suppose 0 = -2*a - 6, 2*t - 673 = -d*t - a. What is the units digit of t? 9 Let a be -110 - ((-1 - -2) + 2). Let s = -53 - a. What is the units digit of s? 0 Let j be (-15 - -14)/(2/(-100)). Let q be ((-12)/(-5))/(3/j). Let m = 101 - q. What is the tens digit of m? 6 Suppose 6 = 4*v - 0*n - 2*n, 3*v - 3*n = 3. Suppose -v*l + 864 = 2*l. Suppose -l = 3*m - 6*m. What is the tens digit of m? 7 Let k(o) = 0*o**3 + 8 + 6*o**2 - o**2 - 4 - 3*o + o**3. What is the units digit of k(-3)? 1 Let u be 20/(-6)*12/(-10). Suppose 4*c + 196 = u*v, 0 = 5*c + 5 - 0. What is the units digit of v? 8 Let f(z) = -25*z - 7. Let n be f(-5). Suppose p - 5*w + 70 = 3*p, -w + n = 3*p. What is the tens digit of p? 4 Let z be 18/2*1355/15. Suppose z + 93 = 6*d. What is the units digit of d? 1 What is the units digit of (-75390)/(-165) - 1/(-11)? 7 Suppose -2*b - 3*p + 19 = 0, -3*b + 3*p + 13 + 8 = 0. Suppose 0*v - 80 = -b*v. What is the tens digit of v? 1 Suppose 0 = -y - 2 + 1. Let o be (-2)/1*y/(-2). What is the tens digit of 2 - (o + (1 - 31))? 3 Let k(l) = -3*l + 4. Suppose -r = -2*d + 17, -5*r + d = 64 - 15. What is the units digit of k(r)? 1 Suppose -705 + 3570 = 5*u. What is the units digit of u? 3 Suppose -r = 5, -29*r = -k - 31*r + 147. What is the tens digit of k? 5 Let t = 19 + -10. Suppose t*o + 14 = 8*o. What is the units digit of 10/4*o/(-5)? 7 Suppose -4*u + 21 = -5*x, 3*x = 5*u - u - 19. Suppose -u = 3*d + d. What is the tens digit of -8*(-2 - d)*4? 3 Let w(b) = 4*b - 13. Let r be w(5). Suppose -r*a + 6*a + 6 = 0. Suppose -y - 220 = -a*y. What is the tens digit of y? 4 Let x(p) = -p + 9 - 7*p**2 + 5*p**3 - 3*p**3 + 28*p**2. What is the tens digit of x(-9)? 6 Suppose x + 4*f = f + 217, 5*x + 2*f = 1046. Suppose -7*m = x - 964. What is the hundreds digit of m? 1 Let x be (-6)/8 + 1065/(-20). Let b = 212 - x. What is the hundreds digit of b? 2 Let y = 4471 - 1572. What is the units digit of y? 9 Let w(r) = r**3 + r**2 + 3*r - 4. Let k be w(-4). Let h = k - -244. Suppose 6*o - o = h. What is the tens digit of o? 3 What is the units digit of (8931 - (20 - 4))*2/5? 6 Let y(a) be the second derivative of -a**4/12 - 3*a**3/2 - a**2 + 7*a. What is the units digit of y(-7)? 2 Let b be 64/(-24)*(-6)/(-4). Let l(u) = -37*u - 22. What is the units digit of l(b)? 6 Let p = 1142 - 349. What is the hundreds digit of p? 7 Let f = 34 + -31. Suppose -2*g - 10 = f*g, 3*r - 2*g - 262 = 0. What is the units digit of r? 6 What is the tens digit of (-10)/(-4)*98464/340? 2 What is the units digit of (-8 + 13 - -1469) + -5? 9 Suppose d - 4*d - 9 = 0, -5*d = -4*h + 2799. What is the hundreds digit of h? 6 Let f(x) = x**3 + 19*x**2 + 9*x + 57. What is the units digit of f(-16)? 1 Let w be (8 + 0)*35/28. What is the tens digit of 1/w*5*194? 9 Let j(t) = 8*t + 19. Suppose 0 = 4*p + 2*p - 42. What is the tens digit of j(p)? 7 Let j = 928 + -611. What is the units digit of j? 7 Suppose -2 = k, -7*k = -c - 2*k - 134. Let a = c - -202. What is the tens digit of a? 5 Suppose 623 = -g + 2*g - 2*u, 0 = g - 5*u - 626. Suppose -3*l + g = 6*l. What is the tens digit of l? 6 Let p = 179 - 107. Suppose p*l - 71*l = 191. What is the units digit of l? 1 Let o(g) = -2*g**2 - 13*g + 10. Let b be o(-8). Let p(w) = -5*w + 3. What is the units digit of p(b)? 3 Suppose 472 - 34 = -3*t - 3*o, o - 574 = 4*t. Let i = -260 - t. Let b = -63 - i. What is the units digit of b? 3 Let a(v) = 97*v + 8. Let w be a(4). Suppose -w = -16*s + 14*s. Suppose 5*j - 206 = 4*p, -2*j - 2*p - s = -7*j. What is the tens digit of j? 3 Let b = -19 + 25. What is the tens digit of b + 58 - 3/1? 6 Suppose -2*s + 155 = 4*c - 3*s, -4*s = 3*c - 102. Suppose -3*f + 91 = -c. What is the tens digit of f? 4 Let u be (3 + 28/(-6))*-3. Suppose u = -o + 11. What is the units digit of o? 6 Let c = -2292 + 998. Let d be (-1)/4 - c/(-8). What is the units digit of d/3*1/(-2)? 7 What is the tens digit of 108 + (-14 + 10)/((-8)/6)? 1 Let y(n) be the first derivative of n**7/840 + n**6/360 + 11*n**4/24 + n**3/3 - 2. Let b(w) be the third derivative of y(w). What is the units digit of b(0)? 1 What is the tens digit of (-1949)/(-3) + 15/(-9)? 4 Let u = 279 + -138. What is the tens digit of u? 4 Suppose 2*k + 0*i - 5*i = 30, -i + 21 = 5*k. Suppose 0 = -w - 3*q - 8, -q + 11 = k*w - 3*q. What is the units digit of (-2 + 5)*w*10? 0 Suppose 0 = y - 6*y + 120. Suppose y = -3*a + 93. What is the tens digit of a? 2 Let o = -281 - -989. What is the tens digit of o? 0 Let y(d) = d**2 + 14*d - 71. What is the tens digit of y(-73)? 3 Let s(f) = f**2 + 3*f + 7. Suppose 13 = -6*t + 3*t + 2*k, 2*t - 2*k = -6. What is the units digit of s(t)? 5 Let u = -12 - -16. Suppose 4*i - u*y = 2*i - 8, -20 = 5*i + 4*y. Let g = i - -8. What is the units digit of g? 4 Let n(u) = 7*u - 3. Suppose 4*p = 6*p - 4. Suppose -4 = -3*a - p*a - 3*t, 5*t = -10. What is the units digit of n(a)? 1 Let j(m) = m**3 + 2*m**2 + 5*m - 4. Let d be j(4). Suppose 7*g - 3*g - d = 0. What is the units digit of g? 8 Let j(l) = -l**3 - 18*l**2 - 17*l + 25. Suppose 5*c + 89 = 2*d, -3*c - 40 = 4*d + 3. What is the tens digit of j(c)? 2 Suppose 10*d = -3*d + 1066. What is the units digit of d? 2 Suppose 2*w - 12 = -2. Suppose -282 = -w*c - 62. What is the units digit of c? 4 Let y(r) = 3*r**2 + 9*r + 16. Let s be y(9). Suppose 67*g = 63*g + s. What is the tens digit of g? 8 Let k(y) = -y**3 - 8*y**2 + 10*y + 11. Let o be k(-9). Suppose -q + 2*d + 35 = -o*d, -2*d = -4*q + 84. What is the tens digit of q? 1 Let h(r) = -10*r + 1 - 3 + 1. What is the units digit of h(-5)? 9 Let x(f) = -1239*f**3 - 2*f**2 + 5*f + 6. What is the units digit of x(-1)? 8 Suppose 0*p + 2 = 4*l - p, 9 = l + 4*p. Let i be (34 - -4)/1 - l. Suppose 0*v = -4*n - 2*v + 188, -n - 3*v = -i. What is the tens digit of n? 4 Let v be (-3 + 4)*(-4)/1. Let k be 1/(-2) - (-2)/v. Let u = 11 + k. What is the tens digit of u? 1 Suppose u + 4*c = 1026, -6198 + 1134 = -5*u + 2*c. What is the thousands digit of u? 1 Suppose 3*j - 25 = -2*j. Let r(z) = -j - 2*z + 3*z**3 - 3 + 2*z**2 + 6. What is the units digit of r(2)? 6 Let k be (-57)/95 + (-2)/5. What is the tens digit of -3 - (-73 - (k - -3))? 7 Suppose 2*m - 6 = 2. Let z(n) = -5*n**3 + n**2 + n. Let d be z(-1). Suppose -21 = -m*i - d. What is the units digit of i? 4 Let j be -1 + 9/4 + 72/96. Let r(n) = n - 1. Let t be r(1). What is the units digit of (j - t) + (-16)/(-4)? 6 Let b be (-2)/(-4) - (-249)/6. Let h(x) = -x**2 - 2*x**3 + 7*x**3 - b*x**3. What is the units digit of h(-1)? 6 What is the tens digit of (-808 - (-2)/2)*(-30)/45? 3 Suppose 2*w - 5*t = -2*t + 62, 0 = -t - 2. Let b = 30 + w. What is the units digit of b? 8 Suppose i + 128 = 5*i + 2*c, -3*i + 2*c = -110. Let b = -28 + i. Suppose 0 = -b*l + 8*l - 116. What is the
{ "pile_set_name": "DM Mathematics" }
ate b. -1, 0, 1/2 Let v(j) be the third derivative of 0 - 13/12*j**6 - 1/8*j**8 + 0*j**3 + 0*j - 14/15*j**5 - 1/3*j**4 - 62/105*j**7 + 2*j**2. Find g, given that v(g) = 0. -1, -2/3, -2/7, 0 Let h(t) = -2*t + 6. Let k be h(5). Let y be 4*(9/k + 3). Determine i so that 4/3*i - 2*i**2 - 4/3*i**y + 2*i**4 + 0 = 0. -1, 0, 2/3, 1 Let v(w) be the first derivative of -w**4/2 - 4*w**3 - 12*w**2 - 16*w + 3. Factor v(x). -2*(x + 2)**3 Let k(t) = t - 6. Let j be k(6). Let r(d) be the third derivative of 0 - d**2 - 1/150*d**5 - 1/15*d**3 - 1/30*d**4 + j*d. Factor r(b). -2*(b + 1)**2/5 Let b = 104 + -102. Factor -1/3*p**b - 1/3*p**3 + 1/3*p**4 + 1/3*p + 0. p*(p - 1)**2*(p + 1)/3 Let t(d) = 3*d**4 + 5*d**3 + 3*d**2 - d. Let w(m) = 16*m**4 + 26*m**3 + 15*m**2 - 6*m. Let i(x) = 11*t(x) - 2*w(x). Let i(r) = 0. Calculate r. -1, 0 Let p(i) = -i**3 - i**2 - 2*i + 4. Let b be p(-3). Let h be 48/b*10/4. Determine u so that 32/7*u**3 - h*u + 4/7 + 48/7*u**2 = 0. -2, 1/4 Let g(c) be the first derivative of -5*c**4/4 - 20*c**3/3 - 25*c**2/2 - 10*c + 33. Suppose g(j) = 0. Calculate j. -2, -1 Let r(o) be the third derivative of -1/50*o**5 - 1/100*o**6 + 3/40*o**4 - 1/560*o**8 + 0 + 2*o**2 + 3/350*o**7 + 0*o - 1/10*o**3. Suppose r(n) = 0. What is n? -1, 1 Let z = 66 + -62. Suppose 0*d + 2/5*d**3 + 4/5*d**z + 0*d**2 + 2/5*d**5 + 0 = 0. Calculate d. -1, 0 Let p(r) be the third derivative of r**8/448 - 3*r**7/280 + 3*r**6/160 - r**5/80 - 16*r**2. Solve p(f) = 0 for f. 0, 1 Let z(r) = 6*r + 7. Let i(n) = 3*n + 3. Let h(s) = 5*i(s) - 2*z(s). Let v be h(1). What is y in -2*y + 4*y**3 + 2*y**v - 2*y - 4 + 2 = 0? -1, 1 Let p(o) = -3*o**5 - 3*o**4 - 5*o. Let f(t) = t. Let q(z) = -5*f(z) - p(z). Factor q(w). 3*w**4*(w + 1) Suppose 1/10*j**3 - 1/10*j + 1/10*j**2 - 1/10*j**4 + 0 = 0. Calculate j. -1, 0, 1 Let q be 231/(-847) - (-130)/154. Factor -q + 2/7*o + 2/7*o**2. 2*(o - 1)*(o + 2)/7 Let 0 + 8/7*f - 2/7*f**3 - 6/7*f**4 + 24/7*f**2 = 0. Calculate f. -2, -1/3, 0, 2 Factor -5*u**2 - 1/2*u**5 - 5/2*u**4 - 5/2*u - 1/2 - 5*u**3. -(u + 1)**5/2 Let x = -597 - -600. What is g in x*g**2 - 4 - 1/2*g**4 + 2*g - 1/2*g**3 = 0? -2, 1, 2 Suppose -25 = -5*f + 25. Solve 2*q**3 + 10*q**2 - 4*q**3 - 2*q**3 + 4*q - f*q**4 = 0. -1, -2/5, 0, 1 Let f be (-11 - -19)/(1 + 1). Let q(j) be the first derivative of 0*j**3 + 3/7*j**2 + 2 - 4/7*j - 1/14*j**f. Factor q(t). -2*(t - 1)**2*(t + 2)/7 Factor 18/11*n**4 + 32/11 + 112/11*n**2 - 64/11*n**3 - 2/11*n**5 - 96/11*n. -2*(n - 2)**4*(n - 1)/11 Factor -20 + 20 - 7*k**2 + 3*k**4 + 4*k**2. 3*k**2*(k - 1)*(k + 1) Let b(w) be the third derivative of w**8/448 - 3*w**7/280 + w**6/80 + w**5/40 - 3*w**4/32 + w**3/8 - 3*w**2. Factor b(y). 3*(y - 1)**4*(y + 1)/4 Let s(t) = 3*t**3 - 7*t**2 + 9*t - 3. Let l(w) = -6 + 10*w + 4*w**3 + 3 + 2 - 2 - 8*w**2. Let g(q) = -2*l(q) + 3*s(q). Suppose g(z) = 0. What is z? 1, 3 Let q(g) be the first derivative of -1/5*g**3 + 7 - 3/10*g**2 + 0*g. Factor q(r). -3*r*(r + 1)/5 Let m(q) be the third derivative of q**5/30 + 13*q**2. Factor m(h). 2*h**2 Factor 3/2*c + 0 - 9/4*c**3 + 9/4*c**2 - 21/4*c**4 - 9/4*c**5. -3*c*(c + 1)**3*(3*c - 2)/4 Let k(u) be the second derivative of -u**5/90 + u**4/18 - u**3/9 - 2*u**2 - 3*u. Let z(o) be the first derivative of k(o). Find n, given that z(n) = 0. 1 Suppose 12*i = -9 + 9. Determine d, given that -1/3 + 1/3*d**2 + i*d = 0. -1, 1 Let l be (-2)/(-14) + 1 + 636/(-630). Find n, given that -l + 2/15*n**2 - 2/15*n + 2/15*n**3 = 0. -1, 1 Let n = 3 - 0. Let j(w) be the first derivative of 5/12*w**n - 3/4*w**2 + 2 + 1/4*w. Factor j(u). (u - 1)*(5*u - 1)/4 Let b be (-621)/(-504) - (1 - 20/32). Determine w so that 2/7*w**5 - 6/7*w**4 + 12/7*w**2 - 4/7*w**3 - b + 2/7*w = 0. -1, 1, 3 Let m(s) be the first derivative of -2*s**5/5 + 2*s**4 + 4*s**3 - 4*s**2 - 10*s - 17. Factor m(y). -2*(y - 5)*(y - 1)*(y + 1)**2 Let u(m) = -2*m**2 - 4*m + 2. Let h(w) = -w**2 - 11*w + 5 - 5*w**2 + w**2. Let i(p) = 4*h(p) - 11*u(p). Let i(f) = 0. What is f? -1, 1 Suppose -g = 3*z - 7, 5*g - 4 = 4*z - 7. Let h(m) be the second derivative of 0 - 1/2*m**z + 1/12*m**3 - 2*m - 3/40*m**5 + 1/6*m**4. Factor h(t). -(t - 1)**2*(3*t + 2)/2 Let k(w) be the third derivative of -7/60*w**6 + 2*w**2 + 0 + 1/6*w**5 + 0*w**3 + 0*w + 1/6*w**4. Determine a, given that k(a) = 0. -2/7, 0, 1 Let o(z) be the second derivative of z**4/12 - z**3/2 + 4*z. Let l(p) = p**2 - p. Let t(d) = -6*l(d) + 3*o(d). Find j such that t(j) = 0. -1, 0 Suppose -t = -5*h + 12 - 4, -t = -h. Find w, given that -3*w**2 + 2*w**2 + 5*w**2 - 3*w**t = 0. 0 Let y be (-2 - -8) + -2 + (-286)/91. Determine j so that 0 + y*j + 9/7*j**2 = 0. -2/3, 0 Let u(v) be the second derivative of -1/21*v**3 + 0 + 1/70*v**5 + 1/42*v**4 - 1/7*v**2 + 4*v. Let u(m) = 0. Calculate m. -1, 1 Factor -3*c**4 - 231 + 3*c**3 + 231. -3*c**3*(c - 1) Suppose -3*w = w - 2*u - 10, 2*u + 13 = 5*w. Let 2/3*g**2 + 0 - 2/3*g - 2/3*g**4 + 2/3*g**w = 0. What is g? -1, 0, 1 Find p such that 2/9*p**3 + 2/9*p**2 - 2/9 - 2/9*p = 0. -1, 1 Let d be ((-20)/14)/2 + 5/5. Find h such that -8/7*h**3 + 6/7*h + d + 0*h**2 = 0. -1/2, 1 Let q(x) be the first derivative of -3*x**5/10 + 3*x**4/2 - 2*x**3 - 6. Factor q(w). -3*w**2*(w - 2)**2/2 Let p(g) be the third derivative of -g**6/540 - g**5/270 + g**4/108 + g**3/27 - 4*g**2. Determine l so that p(l) = 0. -1, 1 Let d(m) be the second derivative of 3*m**5/20 + m**4/2 - m**3/2 - 3*m**2 - 7*m. Suppose d(b) = 0. What is b? -2, -1, 1 Let l be (-5)/(-2) - 1/2. Factor -2/5*r**l - 2/5*r + 0. -2*r*(r + 1)/5 Let 7*c**2 + c**2 + 0*c**2 + 4 - 4*c**2 - 8*c = 0. What is c? 1 Let l(c) be the first derivative of -3*c**4/22 - 10*c**3/33 - c**2/11 + 2*c/11 + 4. Factor l(u). -2*(u + 1)**2*(3*u - 1)/11 Let v(l) be the first derivative of 0*l - 1/3*l**3 + 5 + 0*l**2. Let v(y) = 0. What is y? 0 Let t(x) be the third derivative of 2*x**7/21 + 2*x**6/5 + 3*x**5/5 + x**4/3 - 2*x**2. Solve t(d) = 0. -1, -2/5, 0 Suppose -x + u = -0*x - 6, 3*u = -4*x + 52. Let b(o) = -o + 13. Let t be b(x). Factor -t*q + 2*q + 2 + 5*q**2 - 6*q. (q - 1)*(5*q - 2) Let f = -35/2 - -18. Find y such that 0*y - 1/2*y**2 + f = 0. -1, 1 Let j(i) be the second derivative of i**4/48 - i**3/24 - i**2/4 - 19*i. Find x such that j(x) = 0. -1, 2 Let k = -18 + 32. Suppose 2*z = 5*h - k, -h = -5*z + 7 - 19. Factor -3*u + 2*u**2 + 2*u**3 - 2 + 0*u**h + u. 2*(u - 1)*(u + 1)**2 Let n(j) be the second derivative of j**6/6 - 5*j**4/6 + 5*j**2/2 + j. Factor n(q). 5*(q - 1)**2*(q + 1)**2 Let s(p) = -18*p + 18. Let d(w) = -w**3 + w. Let a(l) = 3*d(l) - s(l). Factor a(f). -3*(f - 2)*(f - 1)*(f + 3) Let y(a) = 9*a**2 + 10*a + 17. Let t(r) = 6*r**2 + 7*r + 11. Let j(l) = 8*t(l) - 5*y(l). Solve j(z) = 0 for z. -1 Let w(h) = 40*h + 84. Let v be w(-2). Let -7/4*i + 1/4*i**5 + 2*i**2 - 1/2*i**3 + 1/2 - 1/2*i**v = 0. What is i? -2, 1 Let r(i) be the first derivative of -i**4/12 + i**2/2 + 2*i/3 + 9. Factor r(m). -(m - 2)*(m + 1)**2/3 Suppose 4*a - 2*a**2 - 3*a + 2*a**3 + 0*a**2 - a**3 = 0. What is a? 0, 1 Let s = -91 - -93. Let d be ((-4)/(-2))/((-2)/(-3)). Factor 0*x + 1/3*x**d - 1/3*x**4 - 1/3*x**5 + 0 + 1/3*x**s. -x**2*(x - 1)*(x + 1)**2/3 Let t = 2 + -4. Let g(y) = y**2 - y - 1. Let n(l) = l**5 - 3*l**4 + 3*l**3 - 2*l**2 + l + 1. Let i(d) = t*g(d) - 2*n(d). Determine m so that i(m) = 0. 0, 1 Let y be 90/21 + (-2)/7. Let j(q) be the second derivative of -3/80*q**5 - q + 1/16*q**y + 0*q**2 - 1/24*q**3 + 0 + 1/120*q**6. Factor j(g). g*(g - 1)**3/4 Suppose -5*u = -0*u - 45. Suppose -4*c + u = -3. Factor 1/2*j**2 - 1/2*j**c - 1/2 + 1/2*j. -(j - 1)**2*(j + 1)/2 Let q = 32 + -29. Let n(p) be the third derivative of 0*p**q + 0*p + 0*p**4 - 1/210*p**6 + 1/735*p**7 + p**2 + 1/210*p**5 + 0. What is a in n(a) = 0? 0, 1 Let q(h) be the first derivative of h**6/20 - h**5/15 - h**4/4 + 2*h**3/3 - 5*h**2/2 - 6. Let a(l) be the second derivative of q(l). Solve a(r) = 0. -1, 2/3, 1 Let r be (-14)/(-3)*(-30)/(-20). Let j be ((2*-3)/(-3))/r. Factor j*c**2 + 2/7*c**3 + 0 + 0*c. 2*c**2*(c + 1)/7 Suppose 4*g + 4 = -2*t + 8, 20 = 5*t + 5*g. Factor 4*a**2 - 5*a**3 + 3*a**3 - 4*a - 4*a**4 + t*a**3. -4*a*(a - 1)**2*(a + 1) Factor -14/5*l**2 + 0*l - 6/5*l**3 + 8/5. -2*(l + 1)*(l + 2)*(3*l - 2)/5 Factor -3/2*p + 0 + 3*p**3 - 3/2*p**5 + 0*p**4 + 0*p**2. -3*p*(p - 1)**2*(p + 1)**2/
{ "pile_set_name": "DM Mathematics" }
rt(425)*1 + -4 + sqrt(425). -22 + 70*sqrt(17) Simplify (-5*-6*(sqrt(152) + -2*(-2*sqrt(152) + sqrt(152))))/(-3*(sqrt(1152) - sqrt(1152)*3)*6). 5*sqrt(19)/24 Simplify -1 + -5 + (2*-5*sqrt(304) - (-4 + sqrt(304) + 2))*-2. -10 + 88*sqrt(19) Simplify (((2*3*sqrt(114)*1)/(((-3*sqrt(162))/sqrt(3))/sqrt(9)) + 0)*-5)**2. 1900 Simplify (-3*(sqrt(160) - (-2*sqrt(160)*3 + sqrt(160) + sqrt(160))))/(4*(6*sqrt(320))/sqrt(4)). -5*sqrt(2)/8 Simplify -5 + 4 + (2*(-2*sqrt(17) + -4)*-1 - -6*1*(sqrt(833) + sqrt(833) + -1))**2. 352*sqrt(17) + 131651 Simplify (3*(sqrt(65) - 3*(sqrt(65) + -1*sqrt(65)))*-6)/(sqrt(5) + 6*sqrt(20) + sqrt(5) + 4*sqrt(20)). -9*sqrt(13)/11 Simplify (1*3*sqrt(117)*3*-5)/((sqrt(72)*-3)/sqrt(8) - sqrt(63)/sqrt(7)*5). 45*sqrt(13)/8 Simplify ((sqrt(1584)*-1 + sqrt(1584))*-1*4 + -5 - (-4 + -2 + sqrt(1584) + sqrt(1584) - (sqrt(1584) + sqrt(1584)*-1*1)))**2. -48*sqrt(11) + 6337 Simplify (-6*(sqrt(72) + -3))**2 + 2 + 4 + sqrt(2) + sqrt(128) + -4. -1287*sqrt(2) + 2918 Simplify ((sqrt(42)*-1)/sqrt(7))/(sqrt(363)*-2) - (sqrt(162) + 2*(1 + sqrt(162)) + 1)**2. -1467 - 3563*sqrt(2)/22 Simplify -1*((-4*(sqrt(170)*-1 - sqrt(170)) - sqrt(170))/(2*(sqrt(5) + sqrt(5)*1 - sqrt(5))))/(sqrt(512) + (sqrt(512) - 2*sqrt(512)*-5) - sqrt(512)). -7*sqrt(17)/352 Simplify (sqrt(5) + (sqrt(5) - -1*sqrt(80)) + -1 - sqrt(45)/(sqrt(9) - (sqrt(81) - ((sqrt(81) - (sqrt(81)*3 + sqrt(81))) + sqrt(81)))/sqrt(9)))**2*6. -78*sqrt(5) + 2547/2 Simplify 3*(-3 + (6*2*sqrt(8)*1)/(6*(sqrt(4) - (sqrt(36)*-2)/sqrt(9))))*-6. -12*sqrt(2) + 54 Simplify (3*4*((sqrt(1700) + 5)*-5 - (sqrt(1700) - (4*sqrt(1700) + -4))))**2. 167040*sqrt(17) + 1100304 Simplify (-5 + (-6*(sqrt(396) + (sqrt(396)*-2)**2) + -4 + (sqrt(396) - -1*sqrt(396))**2)*-4)*3*-3. -285219 - 1296*sqrt(11) Simplify (3*sqrt(65)*-3 + sqrt(65) + -3*sqrt(65)*-2)/(sqrt(125)*-1*3*1). 2*sqrt(13)/15 Simplify 3 + ((1*sqrt(104)*-5 - sqrt(104)) + (sqrt(104) - (-6*1*sqrt(104) + sqrt(104) - sqrt(104))))/(6*(sqrt(200) + sqrt(200)*1 + sqrt(200))) + -3. sqrt(13)/90 Simplify (sqrt(700) - (sqrt(700)*2)**2)*5 + -3 + (((sqrt(7) - (sqrt(84)*-1)/sqrt(12)) + 2)*-1)**2 + 4. -13967 + 58*sqrt(7) Simplify ((-2*sqrt(128)*2 - sqrt(128) - sqrt(128))*1)/(sqrt(100)*-4 + sqrt(16)/(sqrt(20)/sqrt(5))). 24*sqrt(2)/19 Simplify (sqrt(2299) + -3 + 2 + 4*sqrt(2299)*-2)**2 - (sqrt(2299)*3 + 2 + 2*(-1 + sqrt(2299)))**2. 154*sqrt(19) + 55177 Simplify (-5 + -4 + ((sqrt(171) + -2*(sqrt(171) - (1*sqrt(171) + sqrt(171))))*5)/(sqrt(45)/(sqrt(5) - (sqrt(40)/(sqrt(16)/sqrt(2)) + sqrt(5))))*-2)**2. -540*sqrt(19) + 17181 Simplify ((sqrt(336)/(sqrt(6)*-2))/(sqrt(24)/(sqrt(12)/sqrt(4))) - (-4 + (1*(sqrt(7) + 0 + 0 + sqrt(7)))**2)) + 5. -19 - sqrt(7)/2 Simplify -4*(((-1 + sqrt(300) - (sqrt(21)/sqrt(7)*2 + sqrt(3))) + (sqrt(144)/(sqrt(6)*-1))/((sqrt(64)*2)/sqrt(8)))**2 + -1). -507 + 52*sqrt(3) Simplify (-4 + (sqrt(4719) + -3*(sqrt(4719) + (-4*sqrt(4719) - sqrt(4719))))/(-6*(-6*(sqrt(12)/sqrt(4) + sqrt(3)) + sqrt(3))))**2*-5. -13865/36 + 260*sqrt(13)/3 Simplify -3*(sqrt(1008)*-2 + -1 + sqrt(1008)*-2*3 + -1*((sqrt(448) + 1 - sqrt(448)) + 2))**2. -193584 - 2304*sqrt(7) Simplify ((sqrt(48)/sqrt(6) - 4*(sqrt(2) + -3)) + (sqrt(162) - -1*sqrt(162)*4 - (2 + sqrt(162) + -5)))**2. 1020*sqrt(2) + 2537 Simplify (3 + sqrt(76)*-1 - (2*sqrt(76) + 2)**2 - (2*(sqrt(76) + 0) + sqrt(76) - (2*(0 + sqrt(76)) - sqrt(76)))) + 0. -305 - 22*sqrt(19) Simplify 2 + 2 + (1*(sqrt(204) - sqrt(204)*-2)*6)/(1*sqrt(1452) + sqrt(1452) - sqrt(972)*2)*3 + 1. 5 + 27*sqrt(17)/2 Simplify -2*sqrt(5) + -1 + (sqrt(500) - (-3 + sqrt(500))**2 - sqrt(500)) + sqrt(500) - ((sqrt(55)/(sqrt(11) + (sqrt(176) - -4*sqrt(176))))**2 + 4). -226679/441 + 68*sqrt(5) Simplify ((5 + 4*sqrt(1300) - sqrt(1300) - (2 + 3 + sqrt(1300))) + (2 + 3*sqrt(1300) - sqrt(1300)) + (-1 + sqrt(1300))*3)**2. -140*sqrt(13) + 63701 Simplify (1 + 3 + (5*sqrt(343)*1*-3 + -2)*5)**2. 6300*sqrt(7) + 1929411 Simplify (-3*(sqrt(88)*-1 + sqrt(88)) - 6*(1*sqrt(88) - sqrt(88)))/((sqrt(224)/sqrt(4))/sqrt(7) + (-1*sqrt(96) - sqrt(96))/sqrt(12)) + -3 + -4. -7 Simplify -1 + (sqrt(19) - (sqrt(57)*2)/sqrt(3))**2 + 4 + (sqrt(2736) - (3 + sqrt(2736))) + ((sqrt(1216) + 1)**2 - sqrt(1216)). 8*sqrt(19) + 1236 Simplify -6*6*(4 + -3 + 2 + sqrt(1872) + -3)**2*-2. 134784 Simplify (-6*sqrt(228))/((sqrt(288) - sqrt(18))/sqrt(6)) + (-3*(sqrt(57)/(sqrt(3) - sqrt(3)*-1) + 3))**2. 23*sqrt(19) + 495/4 Simplify -3*(sqrt(684) - (sqrt(684) - (sqrt(684) - (-2 + sqrt(684) + sqrt(684) + 3 - sqrt(684)) - sqrt(684)))) + 4 + -1 + 0 + -6*(sqrt(19) + 1 + -1)**2. -108 + 18*sqrt(19) Simplify (-1*sqrt(2592)*-5)**2 + ((1*sqrt(8))**2*3 - ((sqrt(968) - (sqrt(968) + 1)) + sqrt(968))**2). 44*sqrt(2) + 63855 Simplify 5*(2*((sqrt(242) + 1 - sqrt(242)) + 3) - 3*(sqrt(242) + 2)*3). -495*sqrt(2) - 50 Simplify (sqrt(1470) + sqrt(1470) + sqrt(1470)*-4 - sqrt(120)*-2)/(3*(sqrt(250) - (sqrt(250) - (sqrt(250) - 3*sqrt(250)))*-1 - sqrt(250))). -2*sqrt(3)/9 Simplify 4*((sqrt(128) - (sqrt(128)*1 + 5) - 1*1*sqrt(128))**2 + 3 + (sqrt(128) + -1*sqrt(128) + -1)**2). 320*sqrt(2) + 628 Simplify (5 + (-3 + -1 + sqrt(98) + 0 - ((-2*sqrt(98)*2 - sqrt(98)) + -2))**2)*-6. -21222 + 1008*sqrt(2) Simplify (1*-4*(sqrt(1764)*1 - sqrt(1764) - sqrt(1764)))/(((sqrt(84) - (sqrt(84) - (sqrt(84) + (sqrt(84)*-2 - sqrt(84)) + sqrt(84))))*1)/(sqrt(448)*-1)). 224*sqrt(3) Simplify ((3*(sqrt(70) + 1*sqrt(70)*-2 - -2*-2*sqrt(70)))/((sqrt(110) + -4*sqrt(110)*1)/(3*(sqrt(11) + (-1*sqrt(11) - sqrt(11))))))**2. 1575 Simplify -3 + 5 + -2 + (sqrt(288) - (sqrt(288) + sqrt(288) + 1 + sqrt(288))*4)*5 + 1. -660*sqrt(2) - 19 Simplify (sqrt(495)/((2*sqrt(9)*-4 + sqrt(9) - sqrt(9)) + sqrt(9)))/(-2*sqrt(99) - sqrt(22)/sqrt(2)*5). sqrt(5)/77 Simplify (3*(-5*sqrt(3520)*-4 + sqrt(3520) + sqrt(3520)))/(-4*sqrt(176)*3*6). -11*sqrt(5)/6 Simplify (sqrt(228)*-3*-6 - (5*-2*sqrt(228) - sqrt(228)))/((-5*(sqrt(120) + -2*sqrt(120) + sqrt(120) + sqrt(120)))/(sqrt(40) + sqrt(160) - sqrt(40))). -116*sqrt(19)/5 Simplify (sqrt(2736) + -2 + -1 + 4 + sqrt(2736)*-2)**2*-3 + (0 + (3*sqrt(2736)*1 - (sqrt(2736) + (sqrt(2736) + sqrt(2736)*1)*-1 - sqrt(2736))))**2. 72*sqrt(19) + 60189 Simplify (5 + (sqrt(1300) + (sqrt(1300) - sqrt(1300)*-2) + 5 - (-1 + 3 + sqrt(1300))) + -1 + -3)**2. 240*sqrt(13) + 11716 Simplify 2 + (-2*(-1*(sqrt(112) + 2) + (sqrt(112)*2 + -2 - sqrt(112)))*-2)**2 + 4 + 3. 265 Simplify -1 + 1*((sqrt(1100) - (sqrt(1100) - (sqrt(1100) + sqrt(1100) + 0))) + -4 + sqrt(1100)) + 0 + sqrt(44)/(sqrt(196)*3). -5 + 631*sqrt(11)/21 Simplify 0 + (-6*(-2 + sqrt(272)))**2 + sqrt(272) + (-5*sqrt(272)*-1)**2 + (-4*-1*sqrt(1377) - (sqrt(1377) + 0)*2). -554*sqrt(17) + 16736 Simplify (-2*(sqrt(684) - 2*-2*sqrt(684))/sqrt(12))/((sqrt(81)/(sqrt(36)/sqrt(4) + sqrt(9)))/(6*sqrt(27))) + 5. -360*sqrt(19) + 5 Simplify (sqrt(1375) + -3*sqrt(1375) - (sqrt(495) - sqrt(495)*-3))/(3*sqrt(539) - (sqrt(11) - sqrt(11)*2*-5)) + -2. -11*sqrt(5)/5 - 2 Simplify (2*sqrt(76)*-5 + -6*(sqrt(76) + (sqrt(76) - sqrt(76)*3) + sqrt(76)))/((sqrt(448)*6 + sqrt(28))/(sqrt(700) + sqrt(700)*1)). -8*sqrt(19) Simplify -3 + 2*sqrt(133)/sqrt(7)*-5 + (-5 + sqrt(19) + 4 - (-4*sqrt(228))/sqrt(12)). -5*sqrt(19) - 4 Simplify 4 + (sqrt(14)/((sqrt(6)*5)/sqrt(3)) - (((sqrt(7) + -2)*-3 - sqrt(7)) + sqrt(21)/sqrt(27))). -2 + 58*sqrt(7)/15 Simplify (4 + (1 + -5*(sqrt(44)/(sqrt(2) - sqrt(98)) + sqrt(22) + sqrt(22))/sqrt(11))*-3)**2. 55*sqrt(2) + 3027/2 Simplify -1 + (4 + (-1 + sqrt(175) + sqrt(175)*-1 + -5 + -1 + sqrt(175) + 0 + 0 + sqrt(175) + -5)**2)*-5. -4241 + 1200*sqrt(7) Simplify -1*(-4*sqrt(96)/sqrt(2) - sqrt(576)/(sqrt(36)/sqrt(3)))**2 + -2*1*((sqrt(300) + 1 - sqrt(300))**2 + -4). -1194 Simplify (5 + -1*(sqrt(605) + 0) - (5*(sqrt(605) + sqrt(605) + -1 + sqrt(605)) + (sqrt(605) - (3 + 1 + sqrt(605)))))**2*3. -14784*sqrt(5) + 465228 Simplify -6*((sqrt(19)*1 + sqrt(19))*3 + sqrt(19)*-3 + -3)**2 + ((sqrt(76) - (sqrt(76)*1 + sqrt(76))) + 1)**2 + (sqrt(19) + 6*(sqrt(19) + -1))*-5. -973 + 69*sqrt(19) Simplify (((sqrt(364)*-1 - sqrt(364))*-2 + sqrt(364))/(sqrt(7)*1*-6))/(-1*sqrt(144)/sqrt(4) + sqrt(180)/((sqrt(5) - sqrt(45) - sqrt(5)) + sqrt(5)) + sqrt(36)). 5*sqrt(13)/9 Simplify ((-2*((sqrt(153) - -2*sqrt(153)*-3) + -5*(sqrt(153) - sqrt(153)*-2)))/((1*sqrt(900)*-5 - sqrt(900)) + -1*sqrt(900)*-2))**2. 17 Simplify 1*sqrt(104)/sqrt(8) + (sq
{ "pile_set_name": "DM Mathematics" }
6*s**2 - 5*s. Let c be j(-1). Let k(a) = 9*a + 6 - 13*a**2 + 14*a**2 + 2*a. Let f be k(-9). Do f and c have different values? False Let x = 7606 - 7893. Is x not equal to -282? True Let o = 222 - 957. Let v = o - -736. Which is smaller: v or 87? v Let f be (-3 + 9)*-1*(-6)/(-4). Is -32/33 smaller than f? False Let n = -814565209/552716 + 1/138179. Which is smaller: n or -0.2? n Let i = 4364 + -4192. Is 0 greater than or equal to i? False Suppose 36*l = 33*l - 36. Let j be l/(-8 - 28)*6/8. Which is smaller: 34 or j? j Let u be ((-1)/3 - 0)/((-413)/369222). Which is smaller: 33 or u? 33 Let i = -102.6 + 576.9. Let x = i + -467. Which is greater: x or -2/7? x Let h = 3511 + -3245. Which is smaller: 264 or h? 264 Suppose 5*z - 68 = -4*g, -g - 17 = -2*z - 47. Suppose 6 - g = -8*x. Suppose q + 16 = 3*m, -3*q + 9 = x*m + 79. Is q at least as big as -21? False Let n = 58.807 + 0.193. Let t = -0.066 + -58.834. Let j = t + n. Which is smaller: -6 or j? -6 Let d = -3 - 2.9. Let r = -3.8 + d. Let s = r + 10. Which is smaller: s or 6? s Suppose 6*b - 1054 = -2*b + 1442. Which is smaller: 14 or b? 14 Let g be 384/(-2496) - 99179/(-13). Is 7629 at most as big as g? True Let g(j) = j**3 - 8*j**2 + 12*j - 10. Let h be g(10). Let c = h - 308. Let o = -3614/7 + 518. Which is bigger: o or c? c Let x = 17653/45 - 987/5. Let m = x + -194. Which is greater: 0 or m? m Suppose -2*d = -4*d + 116. Let u(v) = 3*v**2 + 86*v - 2087. Let z be u(16). Is z smaller than d? True Let z(t) be the third derivative of t**5/60 - t**4/2 + 35*t**3/6 - 13*t**2. Let i be z(8). Let q be (3/i)/(0 + -1). Which is smaller: 0 or q? q Let t = -7 - -14. Suppose 0 = x + 3 + 15. Let m be (-3)/x*50 - 18/54. Which is smaller: m or t? t Let o(v) = -5*v**3 + 18*v**2 - v - 5. Let h be o(4). Is h at most -39? True Suppose -38*j - 60 = -53*j. Suppose -f + 4 = h, 33 - 41 = 3*f - 2*h. Is j at most f? False Suppose 4*c + 14084 = 4*q, -2*c - 412*q - 7052 = -409*q. Is c at least as big as -3526? True Let y(d) be the first derivative of -d**5/60 - 13*d**2/2 - 19. Let j(c) be the second derivative of y(c). Let t be j(-1). Do -2/29 and t have different values? True Let t(v) = -382*v**2 - 15*v + 14. Let r be t(-3). Is r > -3379? False Suppose 0 = k - 2*k + 11. Let m be (0 + 2)/((-11)/(-66)). Do m and k have different values? True Let y be 69/(17/170*(-3)/(-2)). Suppose 7*n + y - 516 = 0. Are 9 and n non-equal? True Let a(v) be the second derivative of 4*v**3/3 + 24*v**2 - 20*v + 3. Let t be a(-1). Is t at least as big as 44? False Let l be ((-32)/50 + 1)/(-5 + 26/5). Let w = -6 - 2. Let a = -5 - w. Which is smaller: l or a? l Let k be -7*(-22)/77*52/8. Let d(v) = 15*v - 1. Let o be d(1). Does o = k? False Suppose 3*b = 5*t + 7*b - 13, 3*b = -2*t + 8. Let h be 1*-2 - ((-2596)/1665 - 4/9). Which is smaller: t or h? h Suppose -3*s + 84 = -0*s. Suppose 5*n - 771 = -f + 344, 3*f = n - 239. Suppose 6*u = -2*u + n. Is s less than or equal to u? True Let j be 9/36 - 14/(-8). Suppose j*p + 3*h = -4 - 2, -5*h - 12 = 4*p. Which is smaller: -0.021 or p? p Let c(z) = 946*z + 5497. Let m be c(-6). Which is bigger: m or -1607/9? -1607/9 Suppose 0*w - 2 = 2*w. Let u = 24.65 + -26. Let s = u + 0.35. Is w bigger than s? False Suppose -2*z - 3*p + 371 = 0, 2*z - 3*p - 290 = 99. Let i be 40/(-60) + z/(-3). Let t = i - -71. Which is bigger: t or 1? t Let p = -3979.7 + 3986.7. Which is greater: p or 1/58? p Let a be (0 - (-4)/(-170))*(7 + -2). Suppose 10 = w + 4*g + 2, 10 = 5*g. Suppose -5*s - 25 = -5*t, 5*s + w + 21 = t. Which is greater: t or a? t Let b = 159 - 143.2. Let t = b - -1.2. Let r = t - 17.07. Is -1 not equal to r? True Let o be (-35)/126*-8 + 2/(-9). Suppose 1 = 3*m - 2*p, -p - o = 3*m - 6*p. Is m > -2/25? True Suppose -o = -3*l - 91, l - 5*o + 35 + 0 = 0. Let y be (50/l)/(0 - 5). Which is bigger: y or 4.5? 4.5 Let p = 1750 - 1037. Which is bigger: p or 714? 714 Suppose 2*f - 68 = z, 53*z + f = 49*z - 326. Which is smaller: -43 or z? z Let r = -4081.105 - -4081. Is r > 1.9? False Let d = -0.33 + -0.07. Let c = d - -76.4. Let x = c - 76.5. Is x bigger than 1? False Let p be (-860)/(-30)*54/(-12). Which is bigger: p or -651/5? p Let y(n) = 5*n - 17. Let c be y(3). Let q = c - 24. Let k be 12/(((-13)/q)/((-2)/(-3))). Which is smaller: 18 or k? k Let p = -326 - -12064/37. Suppose 5*f - 4*j + 4 + 0 = 0, 0 = -5*f - 2*j + 2. Suppose f = 4*u - w - 5, 5*u - w - 5 = 4*u. Which is smaller: p or u? u Let f = 30 - 29.45. Let u = -0.57 - f. Do -2/5 and u have the same value? False Let u = 207 + -172. Let x = 34 - u. Is -1/193 less than or equal to x? False Suppose -2*a + 6*a + 12 = 0. Let m(s) = 2*s**2 + 56*s + s**2 - 114*s + 61*s. Let i be m(a). Is i at most as big as 20? True Suppose 2*i - i = -39. Let q = 472 - 474. Let d be (-2)/q + (-78)/8*4. Which is smaller: i or d? i Suppose -4*u = -5*y + 89, 0 = 3*u - u + 5*y + 7. Let h be u/64 - (-610)/8. Is 1/4 >= h? False Let p = 140 - 43. Let k = 94 - p. Is k greater than -2.5? False Let j = -149418/5 + 30120. Let m = 236 - j. Which is smaller: -18 or m? -18 Let b be 120/(-210) + 1466/1512. Let a = 1/540 + b. Is -11 != a? True Let y = -38.25 - -38.27. Which is smaller: y or 4/39? y Let u = -15.1 - -14.862. Let f = u - -0.149. Let i = f + 0.049. Which is smaller: -4 or i? -4 Let z = 352 + -339. Suppose 8*k - z*k = -60. Suppose -2*h - 13 = -37. Is h equal to k? True Let u = -25.75 + 25.1. Let z = u + 11.65. Which is smaller: -2 or z? -2 Let w be ((5 - (-1 + 2)) + -3)/(-1). Let z be w/((36/6)/18). Which is greater: z or 2.9? 2.9 Let f = 47 + -48. Let h(b) = -3*b**2 + b + 2. Let n be h(f). Let m be (0 + n/(-4))*(16 - 12). Is 4/5 equal to m? False Let t be 0 + (26434/(-10))/(24/(-30)). Let d = -3372 + t. Which is bigger: d or -68? d Let s(k) = -k + 6. Let r be s(2). Suppose 15*f - 13*f = -z + 9, 0 = -4*f + 2*z - 2. Is r less than f? False Suppose a = 4*a - 57. Let i(r) = -20*r - 2. Let z = 12 + -13. Let l be i(z). Which is greater: l or a? a Let c be 8/2 - 120840/(6 - -4). Let l be 4/22 - c/(-65230). Is 1 < l? False Let p = 41.71 - 41. Let u = -0.7 + p. Let r = u + -0.11. Which is bigger: 78 or r? 78 Let l = 12 + -12.2. Is 6/23 < l? False Let y = 51 - 31. Let q = y - 16.6. Let w = q + 6.6. Which is smaller: -2 or w? -2 Let o(v) = -13*v + 3 - 18*v - 11*v**3 - 222*v**2 + 213*v**2. Let h(g) = -5*g**3 - 5*g**2 - 15*g + 2. Let c(n) = 9*h(n) - 4*o(n). Let w be c(-5). Is w >= 0? False Let r = -8.77 - 0.53. Let w = 13509.2 - 13519. Let h = r - w. Which is bigger: h or -6/7? h Let a = 83.2 + -83.152. Is 1 <= a? False Let l = 0.63 + 12.37. Let d = -13.3 + l. Let q be 3/27 - (-51)/(-216). Is q < d? False Let q = 7/747 + 105997/8217. Suppose -3*c = 4*p - 55, -c - 2 = -3. Which is bigger: p or q? p Let c = -106 + 207. Let s = 55 - c. Let m = 37 + s. Is -6 > m? True Let x = -988 + 1061. Is 63 greater than or equal to x? False Suppose 4*a = -5*j - 47 + 84, -4*j + 2*a + 66 = 0. Which is greater: j or 16.7? 16.7 Let i = 290 + -258. Suppose -i = s - 2*h + 7, -78 = 2*s + 5*h. Which is smaller: -37 or s? s Let p be (48800/160)/((-1)/3). Is -912 greater than or equal to p? True Suppose -107 = 2*k - j, -j = -2*k + 4*j - 119. Let q = k + 37. Let u be ((-3)/(-30))/((-6)/q). Which is bigger: u or 19? 19 Let n = -45 - 16. Let m = n + 668/11. Is 1 not equal to m? True Let m(l) be the second derivative of 9*l + 0 + 1/2*l**3 + 3/2*l**2 + 1/12*l**4. Let w be m(-2). Which is smaller: w or 3/31? 3/31 Suppose 4*z - 42 - 30 = 0. Suppose 0 = 4*h - 4*i + 12 - 0, -2*i = h + z. Let w be (-9)/(-72) + 47/h. Which is smaller: w or -5? w Suppose 0 = -6*i + i + 4*j - 12, 0 = 4*i + 2*j - 6. Let d(t) be the third derivative of -3*t**4/8 + 3*t**3 - 36*t**2. Let s be d(2). Does s = i? True Let v(f) = -f**3 - 26*f**2 + 55*f - 22. Let i be v(-28). Suppose -i*l + 216 = -9*l. Is l > 0? False Let y = 21 - 22. Let k be (y - (-2 + -2)) + (-55)/19. Let c = 0.18 - -0.02. Is k at most c? True Let y = 2/913 - 34708/6391. Let p = -228 + 182. Let j = p + 40. Is y equal to j? False Let a be 6794/(-6405) + 204/153. Let q = a - -4/305. Is q <= -155? False Let x = 4857 + -4687. Is x != 172? True Suppose 28 = 5*x - 4*p, -2*x + 2*p + 22 = 4*p. Let y be 6*(-2)/3 - x. Which is greater: y or -6? -6 Let u = 0 + 2. Let h be (0/(-2) + (-10)/u)*-1. Suppose 1
{ "pile_set_name": "DM Mathematics" }
. Suppose -5 = -3*y + 4. What is j(y)? -1 Let b(l) be the second derivative of -l**3/3 + 9*l. Give b(-3). 6 Let o(m) be the third derivative of m**4/12 - m**3 + 4*m**2. Calculate o(6). 6 Let u(b) be the second derivative of -b**2 + 0 + 2/3*b**3 - 1/4*b**4 - 6*b. What is u(2)? -6 Let p(z) = z**2 + 3*z - 2. Suppose 0 = -5*u + 12 - 2. What is p(u)? 8 Let w(o) = -1 + 3 + 166*o**3 + o**2 + 2*o**2 - 167*o**3. Calculate w(2). 6 Let r(z) = 2 - 66*z + 7 + 65*z. What is r(5)? 4 Let n(z) = 134 - z**2 + 143 - 277. Give n(-1). -1 Let c(j) = j**3 - 10*j**2 + 3*j + 7. Let g(u) = 2*u**3 - 21*u**2 + 5*u + 15. Let x(o) = -7*c(o) + 3*g(o). What is x(6)? -4 Let u(s) = -s**3 + s**2 + 3*s + 3 - 5 + s + 0*s**2. Calculate u(3). -8 Let m(d) = -3*d**3 + 21*d**2 - 3*d + 37. Let a(u) = -u**3 + 7*u**2 - u + 12. Let h(b) = 7*a(b) - 2*m(b). What is h(7)? 3 Let a(p) = -13 + 3*p**2 - 8*p - p**3 - 8*p**2 + 15*p**2. Let t be a(9). Let c(b) = b + 3. Determine c(t). -1 Let b(w) = w**3 - 6*w**2 - 8*w. Suppose 3*f = -2*f + 35. What is b(f)? -7 Let p(g) be the second derivative of g**3/6 - g**2 - 2*g. Suppose -m = 4*j + 17, m = 2*m - 3. Determine p(j). -7 Let h(u) = -4*u**3 + 2*u**2 + 3*u + 4. Let j(x) = -3*x**3 + 2*x**2 + 2*x + 3. Let w(o) = -4*h(o) + 5*j(o). Suppose 3*r - 13 = -r + c, 4*r = -3*c - 7. Give w(r). 11 Suppose -3*j + j + 6 = 0. Let p(w) = -15*w + 13. Let u(n) = -7*n + 6. Let a(g) = -2*p(g) + 5*u(g). What is a(j)? -11 Let a(r) = -2*r - 5. Let l be (2 - 0)/((-2)/7). Let j be a(l). Suppose -w - 8 = -5*f + j, 4*w - 32 = -5*f. Let k(h) = -2*h. What is k(w)? -6 Let o(a) = a**2 + 5*a + 1. Let l(d) = d**2 - 2*d + 4. Let b be l(3). Let s(w) = -2*w + 7. Let y be s(8). Let r be b/(-3) - (-6)/y. Determine o(r). -5 Let i = 3 - 3. Suppose 2*c - c + 4 = i. Let h(k) be the second derivative of k**5/20 + k**4/4 - k**3/3 + 3*k**2/2 - k. Determine h(c). -5 Let r = 0 - -4. Let j(c) = -2 + 3*c**2 + c - c**3 + r - 3*c. What is j(3)? -4 Let d(k) be the first derivative of -k**5/20 + k**4/12 - k**3/2 + 3*k**2/2 - 2*k - 7. Let a(x) be the first derivative of d(x). What is a(2)? -7 Let p be 2/(-4)*0/4. Let v(i) = -i**2 + i - 4. Let k be v(p). Let w(z) = z**2 + 1. Let n(a) = -a**3 - 9*a**2 + 6*a - 2. Let o(f) = -n(f) - 6*w(f). What is o(k)? 4 Let w(b) = -4*b**2 - 3*b - 3. Let i = 3 + -6. Let g(k) = -9*k**2 - 6*k - 7. Let j(z) = i*g(z) + 7*w(z). Give j(-4). -4 Suppose 8*o = 6*o + 28. Let j = -26 + 18. Let m = j + o. Let h(n) = n**2 - 6*n + 1. Determine h(m). 1 Let k(n) = 5*n + 1. Let u(d) = -d**2 + 7*d - 5. Let x be u(7). Let z(t) = -9*t - 2. Let h(j) = x*k(j) - 3*z(j). Calculate h(2). 5 Suppose 16*c = 15*c + 6. Let z(i) = i**2 - 4*i - 6. What is z(c)? 6 Let m(f) = 4*f + 1. Suppose -4*g + g + 15 = 0. Suppose 3 = -g*x - 5*z + 23, 0 = 5*z - 5. Suppose x*j - 8 = -j. Calculate m(j). 9 Let h be ((-24)/40)/((-2)/10). Let o(u) = u**3 - 2*u**2 - 5*u + 2. Determine o(h). -4 Let l = -53 - -75. Let o be (-6)/8 + l/8. Let c(r) = -9*r - o*r**2 + 1 + 5*r**3 + 9*r. Calculate c(1). 4 Let i(n) = -10*n**3 - 1. Let a(g) = g**2 - g + 2. Let h be a(2). Let l = 0 + 3. Let v = l - h. Calculate i(v). 9 Suppose 0 = t + 5*l - 4, -2*t - 2*l + 8 = -5*l. Let p(o) = t + 1 + 1 - 5 - 3*o. Calculate p(4). -11 Let j(s) = 2*s**2 + 1. Let f(m) = -m + 8. Let t be f(10). Let h be t/(-5) + 35/(-25). Give j(h). 3 Let c(k) = k**2 + 9*k + 2. Let o be (-3 - 7)*(2 + (-1)/1). Calculate c(o). 12 Let w(r) = 7*r**2 + 11*r + 2. Let m(l) = -8*l**2 - 12*l - 3. Let n(x) = -6*m(x) - 7*w(x). Give n(-6). -2 Let l be (8/(-10))/((-12)/30). Let f(m) = m**2 - m. Determine f(l). 2 Let w(k) = 5*k**2 - 2*k - 1. Let q(f) = f**2 + 5*f + 3. Let r be q(-5). Suppose 6 = -r*x + 3. Calculate w(x). 6 Let t(h) = 87*h - 42*h + 4 - 44*h. Calculate t(4). 8 Let v(b) = b**2 - 29*b + 49. Let o be v(27). Let d(x) = x + 5. What is d(o)? 0 Let y(i) be the second derivative of i**4/12 - i**2/2 + i. Let p(c) = 4 - c - 3*c + 3*c. Let x be p(3). Determine y(x). 0 Let q(w) = 2*w**2 - 3*w + 3. Let m(v) be the second derivative of v**3/6 + 7*v**2/2 - 4*v. Let n be m(-5). What is q(n)? 5 Let m(p) = p**3 + 3*p**2 - 2*p + 3. Let v = 2 + -2. Suppose -4*j - 4 = 3*z - 7*z, v = -3*j - z + 9. Suppose t + n = -j, 5*t - 2*n + 7 + 17 = 0. Calculate m(t). -5 Suppose -10 + 2 = g - 2*a, -3*g = -a - 1. Let l(v) = -7*v + v**3 + 3*v**2 - g*v**2 + 0*v**2 + 3*v. Determine l(-3). -6 Suppose -5*x - 32 = -2*t, x = -0*x + 5*t - 11. Let i(b) = -b**3 - 7*b**2 - 6*b + 8. Calculate i(x). 8 Suppose -2*f + 2*l = -6, -2*f = -3*l - 2*l + 6. Suppose 0 = -f*x + 2*x. Let n(s) = -s**3 - s**2 - 10. Give n(x). -10 Let w(p) be the second derivative of -p**5/20 + p**4/2 + 5*p**2/2 - 7*p. What is w(6)? 5 Let k(s) = s**2 + 2*s - 3. Let r(a) = -a - 2. Let d be r(2). What is k(d)? 5 Let g(y) = 8*y**2 - y + 1. Let j be -2 + (-4 + 3 - -7 - 3). Give g(j). 8 Let z(k) = 2 - k - 6*k**2 + 3*k - 3. Let h(c) = 25*c**2 - 8*c + 5. Let q(p) = -2*h(p) - 9*z(p). Determine q(-1). 5 Let w(g) = -g**2 - 6*g + 7. Suppose -12 = t - 7. Calculate w(t). 12 Let r = -41 + 14. Let i be (3 + -1)/(18/r). Let g(j) = 2*j**2 + j - 3. What is g(i)? 12 Let b(l) = -8*l + 2*l**2 + 8*l. Suppose -5*p + 45 = 2*v, 0*v = 2*p + 3*v - 29. Suppose p = 4*a - 3*y, 4*a + y + 7 = 3*a. Calculate b(a). 8 Let r(q) = 0*q + 1 + 3 - q - 3 + q**2. Let i = 6 + -8. What is r(i)? 7 Let p(a) = -5*a - 2. Let z be (1/3)/(6/(-18)). Let f be (-5)/((-5)/12) - z. Suppose 18 = -3*l - 3*v, 3*l = -4*v - 35 + f. Calculate p(l). 8 Let k(j) = 0*j + 2*j - 1 - 2*j - 2*j**3. Let r be k(1). Let p(v) = 2*v + 0 - 4 + 1. Determine p(r). -9 Let y(t) = -t**3 - 6*t**2 - 5*t - 4. Let v(m) = 0*m + 1 + 4*m - 2*m. Let h be v(-3). What is y(h)? -4 Let i(d) = -d**3 + 2*d**2 + 7 + 4*d**2 - 4*d - 3. Calculate i(5). 9 Let a(b) = -2*b - 2. Let r be a(-2). Let h = -17 - -24. Let v(j) = -j - h - 2*j - r*j - j**2. Determine v(-5). -7 Let l(y) = -y**2 - 13*y - 2. Let d be l(-13). Let x(o) = o + 2*o + 3 + 0*o. Determine x(d). -3 Suppose l - 3*d - 15 = 4*l, 0 = -5*l - 4*d - 30. Let g(f) = -f**3 - 11*f**2 - 10*f - 4. Give g(l). -4 Let o(r) = -r**3 - 5*r**2 + 8*r + 6. Suppose 6 = 3*f, 3*k + 2 = -5*f - 6. Give o(k). -6 Let v(g) = -5*g + 10*g - 6*g. Calculate v(-3). 3 Let c be (10/(-8) - 1)/((-3)/(-8)). Let y(i) = -i**3 - 6*i**2. Determine y(c). 0 Let o(j) = -j - 2. Let z be o(-5). Let d(x) = 0*x**3 + 3 - 4*x**2 + x**z + 2*x**2. What is d(3)? 12 Let h(u) be the second derivative of -u**3/6 + 2*u**2 - 20*u. What is h(0)? 4 Let n(b) = -4*b - 4*b**2 - 3*b + 3*b**2 - 3 - 2. Determine n(-7). -5 Let s = -4 - -8. Let c(w) be the first derivative of -w - 12 - 1/2*w**2. Calculate c(s). -5 Let r(d) = -9*d**3 + 4*d**2 + 2*d - 3. Let y(u) = 8*u**3 - 3*u**2 - u + 2. Let h(l) = -3*r(l) - 4*y(l). What is h(1)? -6 Let u(v) = v**2 + 0 + 9*v**3 - 1 - 8*v**3 + v + 0. Suppose 0*a = 4*a - 16. Let l be 6/8 + 1/a. Give u(l). 2 Let h(o) = o + 1. Let z(j) = -5*j - 4. Let d(p) = 4*h(p) + z(p). Let l(v) = v - 2. Let u be l(4). Suppose -8 = u*q - 0*q. Determine d(q). 4 Let n(s) = -49*s**2 - 1 + s**3 + s + 17*s**2 + 15*s**2 + 18*s**2. Give n(-2). -7 Let t(z) = -15*z + z**2 - 20*z - 5 + 30*z. Give t(7). 9 Let x = -31 + 28. Let t(s) = -8*s**2 - 10*s + 7. Let y(d) = d**2 + d - 1. Let n(g) = -t(g) - 6*y(g). What is n(x)? 5 Let k(j) = -j**2 + j**3 + 6*j**2 - 21*j + 8*j + 11*j. Determine k(-5). 10 Let i be 9/(-4)*8/(-3). Let r(n) = 2*n - 7*n**2 + 15 + 0*n**3 - 18 + 4*n + n**3. Calculate r(i). -3 Let z = -1 + 8. Let b(i) = 15*i**2 - 9*i**2 - i**3 + 4 - z*i + 1. What is b(5)? -5 Let s(w) be the first derivative of -w**2/2 + 5*w + 11. Give s(-5). 10 Let s(q) = -5*q**3 + 13*q**2 + 7*q. Let j(x) = -4*x**3 + 12*x**2 + 6*x + 1. Let p(o) = 6*j(o) - 5*s(o). Calculate p(-7). -1 Let a(d) be the third derivative of -d**6/120 - 7*d**5/60 - d**4/8 - 3*d**3/2 + 2*d**2. Calculate a(-7). 12 Let s = 0 - 1. Let v = s + -3. Let u(f) = 2*f**2 + 2*f + 4*f**3 - 3*f**3 + 3*f**2. What is u(v)? 8 Suppose -m = 4*d - 8 + 3, -3*m + 3*d = -15. Let x(g) = -5*g + g**2 + g - m + 0*g. Let r be (-3)/(2/8*-3). What is x(r)? -5 Let o be 370/45 + 6/(-27). Let x(i) = i**3 - 9*i**2 + 9*i - 2. What is x(o)? 6 Let d be 0/(-2) + 12/6. Let t(m) = 4*m**2 - 2*m**3 + d*m**3 - m**3 - m. Calculate t(4). -4 Let n(g) = -g**3 - 2*g - 1. Suppose 4*x = 3*m + 22, -m - 22 = -0*m - 5*x. What is n(m)? 11 Let
{ "pile_set_name": "DM Mathematics" }
**(7/54) Simplify a**(2/19)/((a*a/(a/(a*(a*a/a**(-11)*a)/a*a)*a)*a)/a)*(a*(a/a**(-16)*a)/a)**(-7/5) assuming a is positive. a**(-3809/95) Simplify (u**9*u*u**(-4))/(u**(-2/21)*u/(((u/u**16)/u)/u)) assuming u is positive. u**(-250/21) Simplify (v*v*(v*v**(-6)/v*v)/v*v*v)/((v/(v*v*v*v**(-1)*v))/v)*v**(7/2)/v**(-4) assuming v is positive. v**(17/2) Simplify k/((k*k/(k*((k**(-2/7)/k)/k)/k))/k)*k**(-12/7)*(k/(k*k**(-4)))**(5/6) assuming k is positive. k**(-2/3) Simplify (i**3*((i/(i**(-19)*i*i))/i*i*i)/i)/(i**(1/10))**(-32/3) assuming i is positive. i**(331/15) Simplify ((l*l**(-2/9)*l)/l)**(2/69)/(l/(l*l/((l*l/l**(3/2))/l))*l*l)**4 assuming l is positive. l**(-1228/621) Simplify m**(-4/3)*m*m*m/(m*m**2*m*m)*m**20/(m**(-1/28)*m) assuming m is positive. m**(1319/84) Simplify ((((s**(-10)*s)/s)/(s/((s*s*s/(s*s**(3/4)/s*s)*s*s*s*s)/s*s)))/(s**(-1/19)/((s/s**(8/9)*s)/s*s)))**11 assuming s is positive. s**(-34507/684) Simplify (t**2)**(-4)*(t/((t*t/(t/(t**(-15)/t))*t*t)/t*t*t))/(t/(t**4*t)) assuming t is positive. t**9 Simplify ((o*o**(-2))/o)**12/(o**(-11)/o*o**(3/7)/o) assuming o is positive. o**(-80/7) Simplify u/(u/(u**33/u))*(u**(-1/27)/u)/u*u**(-1/23)*(u*u/(u*u**(-7)))/u assuming u is positive. u**(22927/621) Simplify (v**(-1/6))**21/(v*v**(-1/5))**(34/9) assuming v is positive. v**(-587/90) Simplify ((n**10*n*n/(n**(4/3)/n))**(-22))**(-2/67) assuming n is positive. n**(1540/201) Simplify (y*y**(-26)/y*y*y**1)/(y*y/y**(-2/15)*y)**(-5/6) assuming y is positive. y**(-385/18) Simplify (y**(2/7)*y**(-6)*y*y**(1/5)*y/(y/(y*y**(1/2))))**42 assuming y is positive. y**(-633/5) Simplify ((m**(-2)*m*m)**(1/6)/(m**0)**6)**(4/13) assuming m is positive. 1 Simplify (((((l**7/l)/l)/l)/l)/((l**6/l)/l))/(l**(-2/9)*l/l**(-2)) assuming l is positive. l**(-34/9) Simplify q**3*q**(2/3)*q**(22/5)*q/((q*q/(q**(13/4)*q))/q) assuming q is positive. q**(739/60) Simplify (z**0/(z**(3/16)*z))/((z/z**(-3/7))/((z*z**4)/z)) assuming z is positive. z**(155/112) Simplify ((t**(25/4)*t)/t*t*t*t**(-6/5))**(-20/9) assuming t is positive. t**(-47/3) Simplify ((r**(-3/4)*r**(-3))/((r**(2/7)*r)/(r*r/r**(-2))))**28 assuming r is positive. r**(-29) Simplify ((y**(-3))**(-3/20)*y**11/y*y/y**(2/13))**50 assuming y is positive. y**(14685/26) Simplify ((c*c*c/(c**(-8/7)*c))/c*c*c/(c*c**(-2/5)*c*c)*c**(-2/5)*c**10)**(-6/13) assuming c is positive. c**(-36/7) Simplify (l**11*l)**10*(l/(l/(l*l/l**(1/25)*l)*l))/(l/l**(-7)) assuming l is positive. l**(2849/25) Simplify (b**(1/21)/(b*(b/b**(-16/5))/b*b))/(b**(-22)/b**(-25/3)) assuming b is positive. b**(298/35) Simplify (m*m/(m/(m*((m*m/((m/m**(-5))/m)*m)/m*m)/m)*m*m))/((m**(-27)/m)/m*m)*m**34/m**(-6/13) assuming m is positive. m**(773/13) Simplify (k**18/(k/((k**(-31)*k)/k)))/(k*k**(4/7))**(-23) assuming k is positive. k**(155/7) Simplify (i**(-20))**(2/13)*i**(8/5)/(i*i**(-5)) assuming i is positive. i**(164/65) Simplify s**(-13)/(s**(1/11)*s)*s**(-2/9)/s*s/((s/(s/(s**3/s))*s)/s) assuming s is positive. s**(-1615/99) Simplify (p**5/p*p/p**(3/4)*p*p/(p**(-1/2)*p)*p*p**(-6/5))**(-11/3) assuming p is positive. p**(-407/20) Simplify ((c*c*c/(c**(-3)/c))/((c*c**9*c)/c)*c*c/c**(2/21)*c**(-5)*c)**(1/6) assuming c is positive. c**(-107/126) Simplify (b/((b/b**(6/13))/b))/(b*b**7)*((b*b**(-2/5))/b)/(b**(11/6)*b) assuming b is positive. b**(-3811/390) Simplify (u/u**(-2/21)*u**(-12)*u)/(u**1*u**(-5/9)/u) assuming u is positive. u**(-589/63) Simplify ((w**9)**(-2/47))**25 assuming w is positive. w**(-450/47) Simplify (c*(c/(c*c**29/c*c))/c*c*c)/(c**(12/7)/c*c*c)*((c/(c/((c/(c/(c*c**(2/55)*c)))/c)*c))/c)**(-16) assuming c is positive. c**(-5504/385) Simplify ((a/(a/(a/(a/(a*a**(2/5)))))*a**3)**(1/25))**(-19) assuming a is positive. a**(-418/125) Simplify ((m/m**(2/19))/(m*m**(-1/8)))/(m**(2/7))**(3/40) assuming m is positive. m**(-9/5320) Simplify (z*z**(1/4))/((z/z**(-4/3))/z)*z**(-3)*z*z**(1/3)/z*z assuming z is positive. z**(-7/4) Simplify (m**(2/33)*m*m/m**(-11))/((m*(m**(-5/9)/m*m)/m*m)/m**(1/14)) assuming m is positive. m**(17585/1386) Simplify ((o**27/o)**(-2/53))**(-49) assuming o is positive. o**(2548/53) Simplify ((b/(b**4/b))/b**(-4))/(b*b**(-2/15)*b**(1/5)) assuming b is positive. b**(14/15) Simplify ((w*w**17/w*w)**(13/5))**31 assuming w is positive. w**(7254/5) Simplify c**(5/4)/c**(-1/6)*(c/c**(2/27))/((c**(-32)/c*c)/c) assuming c is positive. c**(3817/108) Simplify ((v/v**(2/3))/((v*v**(-2)*v)/v)*v*v*v**(-2/13)*v*v*v*v**(-2/7)/v)**(-6) assuming v is positive. v**(-2672/91) Simplify (j/(j/(j*j*j**(2/31)*j)*j)*j*j**(-2/55)*j)/((j**(-32)*j)/j**(-3/22)) assuming j is positive. j**(118981/3410) Simplify ((c**(-1))**(-5/12)/(c/(c/(c/c**(2/9)))*(c**(2/3)*c)/c))**(-2/11) assuming c is positive. c**(37/198) Simplify ((c*(c*c*(c**(-1/8)*c*c)/c)/c)**(1/41))**(4/23) assuming c is positive. c**(1/82) Simplify ((b**(-4)*b)/b*b*b**(-3/5)*b)/(b*b/(b**(2/7)*b)*b**(-1/8)) assuming b is positive. b**(-893/280) Simplify ((d/(d**(-5)/d))/(d**5/d))/(d**(1/6)/d*d/d**(-18)) assuming d is positive. d**(-91/6) Simplify (i**(-2))**(-10/3)*i**(-3/7)/i**(-12) assuming i is positive. i**(383/21) Simplify ((v**(1/3)/v**(-3))**(-4/9))**(2/77) assuming v is positive. v**(-80/2079) Simplify (((l/(l*l**6))/((l**(-3)/l)/l))**(-32))**(5/4) assuming l is positive. l**40 Simplify ((((l*l**2*l)/l*l)/l)/l*l)**(-25)/((l*l**(2/33))/l**(-1/12)) assuming l is positive. l**(-10051/132) Simplify (d**(-2)/d)**5*((d/d**(1/3))/d*d)**4 assuming d is positive. d**(-37/3) Simplify ((s**4/s)/s)**8/(((((s**13/s)/s)/s)/s)/(s**(-10)/s)) assuming s is positive. s**(-4) Simplify (f**(-2/7)/f**10)/(f*f**(-2)*f*f**(5/3)*f) assuming f is positive. f**(-272/21) Simplify (s/(s/s**(2/17)))**43*(s/s**(1/22)*s)/(s*s*(s*s**(-2/9))/s*s*s) assuming s is positive. s**(10891/3366) Simplify (h/h**(2/15))/h**(1/4)*(h**3)**(2/21) assuming h is positive. h**(379/420) Simplify (g**(-1/4))**(-1)*(g/(((g*g**(12/11)*g)/g)/g*g))/g**(3/17) assuming g is positive. g**(-761/748) Simplify (z**(3/7)*z**(-6))/((z**(8/9)*z)/z*z**21) assuming z is positive. z**(-1730/63) Simplify q*q/(q*q**(4/13))*q**(3/13)*(q*(q/q**25*q)/q*q)**(12/5) assuming q is positive. q**(-3372/65) Simplify (g**12/g**(-3/11))/(g/g**(-3/5)*g**17) assuming g is positive. g**(-348/55) Simplify z**(-2/9)*z**(-2/5)*(z**(2/9))**(-36) assuming z is positive. z**(-388/45) Simplify j/((j*j*j**7)/j*j*j)*j*j*(j/(j**(-7)*j)*j)/j*j**(-12)*(j/(j**(-2/19)/j)*j)/j assuming j is positive. j**(-188/19) Simplify x**(2/3)/x**3*x*(x*(x*x**10)/x*x)/x*x*x/(x/(x*x**(-1)*x)) assuming x is positive. x**(35/3) Simplify (w/w**(13/2)*w*w*(w*w/w**20*w)/w*w)/(w**22/w**(-1/4)) assuming w is positive. w**(-171/4) Simplify ((k*k/(k**8/k)*k)/(k*(k*k**(-2/27)*k)/k))/(k**(-15)*k*k**11) assuming k is positive. k**(-79/27) Simplify ((p**(-12/13)/p)**25)**(-36) assuming p is positive. p**(22500/13) Simplify ((a*a**5)/((a*a*a**(2/19)*a)/a))/(a**(4/11)*a*a/(a/a**(-5))) assuming a is positive. a**(1574/209) Simplify ((m/(m*m**13*m*m))/(m/m**(-11)))/((m/m**6)/m*m/(m/((m**(3/7)/m)/m))) assuming m is positive. m**(-136/7) Simplify (o*o**(6/5)/o*o*o)**(2/133)/((o**7/o)/o)**(-2) assuming o is positive. o**(6682/665) Simplify (((s**(6/7)*s)/s)/((s*s**12*s)/s))/((s/(s**(-3/4)/s))/s)**(-24/13) assuming s is positive. s**(-811/91) Simplify (((v/(v/v**(4/5)*v))/v)/v*v)**(-2/13)/((v**(1/6)/v)/v)**(-5) assuming v is positive. v**(-3503/390) Simplify ((f**(-15)*f*f)/f)**(-31)/((f*f**(3/34))/f**(1/20)) assuming f is positive. f**(147207/340) Simplify ((w**4)**(-2/63))**(1/16) assuming w is positive. w**(-1/126) Simplify ((h**(1/14)*h)/h)**(7/5)*(h**(-1/21))**(-2/119) assuming h is positive. h**(2519/24990) Simplify (f*f**(3/5))**18*f**(7/6)/(f**(-1/4)*f*f) assuming f is positive. f**(1693/60) Simplify b**(1/32)/b**(-10)*(b**(-10))**(-7/12) assuming b is positive. b**(1523/96) Simplify c**(-1/5)*c/c**(-2/7)*c**(-5)*c*(c*c**(-2))/c*c assuming c is positive. c**(-137/35) Simplify ((j**(-2))**(13/4))**(-3/2) assuming j is positive. j**(39/4) Simplify ((a/a**0*a)/a)/a**0*a**(-15)/a*a**(-6) assuming a is positive. a**(-21) Simplify y**(-13)*y/y**11*((y/((y/y**22)/y))/y)/y**(-2/3) assuming y is positive. y**(-1/3) Simplify ((a**3/a**(-2/7))**(2/35))**(3/2) assuming a is positive. a**(69/245) Simplify (z**(-1/3)*
{ "pile_set_name": "DM Mathematics" }
prob of sequence axma? 1/140 What is prob of sequence rw when two letters picked without replacement from nxrwffrxxqnqxw? 2/91 What is prob of sequence tg when two letters picked without replacement from {t: 4, k: 1, n: 2, e: 2, c: 2, g: 4}? 8/105 What is prob of sequence xnil when four letters picked without replacement from {x: 6, i: 6, n: 1, q: 3, l: 1, e: 1}? 1/2040 What is prob of sequence ybz when three letters picked without replacement from gblyylbgylgzgyyyl? 1/340 Four letters picked without replacement from nlllllllnlllllnl. Give prob of sequence nlln. 3/140 What is prob of sequence eaa when three letters picked without replacement from aeaiaeyaae? 1/12 Two letters picked without replacement from {a: 1, j: 1, t: 1, n: 1, l: 1}. What is prob of sequence ja? 1/20 What is prob of sequence prpr when four letters picked without replacement from rprrrzzrrrzp? 7/990 Three letters picked without replacement from {y: 1, e: 2, k: 1, f: 1, c: 1, n: 1}. Give prob of sequence eky. 1/105 What is prob of sequence vvvi when four letters picked without replacement from izzzzvzvziivzvvvizz? 5/969 Calculate prob of sequence aruu when four letters picked without replacement from {r: 4, u: 2, a: 3}. 1/126 Two letters picked without replacement from rvhfsvhsvrrff. What is prob of sequence rr? 1/26 Three letters picked without replacement from dddddpddddsqqosqssd. What is prob of sequence qqd? 10/969 Calculate prob of sequence uk when two letters picked without replacement from {y: 3, k: 4, u: 6}. 2/13 Four letters picked without replacement from {j: 8, q: 2, p: 2}. Give prob of sequence ppqj. 4/1485 Calculate prob of sequence em when two letters picked without replacement from {i: 7, e: 1, m: 11}. 11/342 Three letters picked without replacement from {u: 5, l: 1, a: 3, f: 1, q: 4}. Give prob of sequence afu. 5/728 Four letters picked without replacement from kookk. What is prob of sequence kkkk? 0 What is prob of sequence qqqq when four letters picked without replacement from ttqqtqqqttttt? 1/143 Calculate prob of sequence yr when two letters picked without replacement from {k: 10, y: 1, d: 1, r: 5}. 5/272 What is prob of sequence pp when two letters picked without replacement from bbbppbbbbmbbbb? 1/91 Two letters picked without replacement from iioibgikogoi. What is prob of sequence ko? 1/44 Three letters picked without replacement from acqoaqqoqqqcqca. What is prob of sequence qaq? 3/65 What is prob of sequence zdpz when four letters picked without replacement from {a: 1, d: 2, w: 1, p: 1, q: 1, z: 2}? 1/420 What is prob of sequence yjj when three letters picked without replacement from eynjvjenjek? 1/165 Two letters picked without replacement from {c: 1, m: 2, o: 4, g: 2, w: 5}. Give prob of sequence co. 2/91 Three letters picked without replacement from lllllmlllllml. Give prob of sequence mlm. 1/78 What is prob of sequence rsx when three letters picked without replacement from {o: 1, s: 2, r: 1, x: 2, f: 1}? 2/105 What is prob of sequence dh when two letters picked without replacement from aadhaaddaaaahaaaa? 3/136 Two letters picked without replacement from {w: 4, k: 10}. What is prob of sequence ww? 6/91 Two letters picked without replacement from {x: 3, f: 3, c: 1}. What is prob of sequence ff? 1/7 Calculate prob of sequence ue when two letters picked without replacement from eeeueqelqeqe. 7/132 Calculate prob of sequence bbb when three letters picked without replacement from {c: 3, w: 12, b: 3}. 1/816 Calculate prob of sequence vdxm when four letters picked without replacement from vovxvzmxdvzzmmv. 1/1092 Calculate prob of sequence ii when two letters picked without replacement from {e: 11, i: 5}. 1/12 Three letters picked without replacement from {f: 3, m: 4}. Give prob of sequence mff. 4/35 Two letters picked without replacement from rrrrrrrrr. Give prob of sequence rr. 1 What is prob of sequence xx when two letters picked without replacement from {k: 1, x: 7}? 3/4 What is prob of sequence fse when three letters picked without replacement from seessffssessee? 5/156 What is prob of sequence zys when three letters picked without replacement from ssyssszssssssss? 1/210 Three letters picked without replacement from fpapvpwp. What is prob of sequence ppw? 1/28 What is prob of sequence ppoo when four letters picked without replacement from {p: 11, o: 2}? 1/78 Four letters picked without replacement from zzzdzxrzzzdzdzrzzzzr. What is prob of sequence zzdr? 39/3230 Calculate prob of sequence rr when two letters picked without replacement from {p: 2, r: 7, h: 3}. 7/22 What is prob of sequence lfh when three letters picked without replacement from hflgffllllhfll? 1/39 Three letters picked without replacement from {q: 3, d: 1}. Give prob of sequence qqd. 1/4 Three letters picked without replacement from dedmydydmdcuc. What is prob of sequence dud? 5/429 Three letters picked without replacement from ppphqhphqphphpphhph. Give prob of sequence hhh. 56/969 Three letters picked without replacement from {w: 3, r: 6, t: 2, m: 1, x: 5}. Give prob of sequence rxt. 1/68 Four letters picked without replacement from {t: 2, k: 1, p: 3, z: 1}. What is prob of sequence pptk? 1/70 Calculate prob of sequence oo when two letters picked without replacement from oolaaalal. 1/36 Four letters picked without replacement from hjvhvajhhjvhahvhavv. Give prob of sequence hvjv. 35/5168 Calculate prob of sequence dr when two letters picked without replacement from rldrrlldrrdll. 5/52 What is prob of sequence qx when two letters picked without replacement from {p: 2, q: 1, j: 1, x: 2}? 1/15 Calculate prob of sequence vv when two letters picked without replacement from {u: 4, v: 3}. 1/7 Three letters picked without replacement from {m: 7, p: 5}. What is prob of sequence ppp? 1/22 Calculate prob of sequence wwll when four letters picked without replacement from lllwwll. 1/21 What is prob of sequence yuy when three letters picked without replacement from ppkyeyupypkpp? 1/286 Three letters picked without replacement from gttqtffgfn. Give prob of sequence qtf. 1/80 Three letters picked without replacement from ahayvaayahaaaa. What is prob of sequence vay? 3/364 What is prob of sequence ms when two letters picked without replacement from mhxiysi? 1/42 Three letters picked without replacement from {k: 1, d: 1, b: 1, e: 1, x: 3}. Give prob of sequence kde. 1/210 Two letters picked without replacement from ldvlmvdvlmkvlvo. Give prob of sequence ok. 1/210 What is prob of sequence kh when two letters picked without replacement from {b: 1, t: 1, k: 2, h: 1, d: 2}? 1/21 Three letters picked without replacement from wwwgwwwwgwwww. What is prob of sequence gwg? 1/78 Calculate prob of sequence aab when three letters picked without replacement from bkkkbakbbkkbakkkkkbb. 7/3420 Two letters picked without replacement from thsisds. Give prob of sequence th. 1/42 Calculate prob of sequence ddd when three letters picked without replacement from {d: 3, n: 5}. 1/56 Four letters picked without replacement from {m: 3, v: 1, t: 1}. What is prob of sequence mtvm? 1/20 Two letters picked without replacement from {j: 2, m: 3, k: 2, p: 1, e: 1, x: 3}. Give prob of sequence xp. 1/44 What is prob of sequence xa when two letters picked without replacement from xjjxjaxxxjxax? 7/78 Calculate prob of sequence vvvv when four letters picked without replacement from vvvvv. 1 Two letters picked without replacement from {z: 1, c: 1, u: 2, r: 2, x: 1, j: 1}. Give prob of sequence rr. 1/28 Calculate prob of sequence ccnc when four letters picked without replacement from {n: 9, c: 9}. 21/340 Calculate prob of sequence lbbh when four letters picked without replacement from jlhblhhbzblzjhbjhz. 1/408 Four letters picked without replacement from irrr. What is prob of sequence rirr? 1/4 Calculate prob of sequence md when two letters picked without replacement from {d: 1, z: 6, j: 5, i: 6, m: 1}. 1/342 Calculate prob of sequence qkvk when four letters picked without replacement from vqqpkkxx. 1/420 Three letters picked without replacement from fxhxffbxfysfbsfxx. What is prob of sequence yxf? 1/136 What is prob of sequence ujjj when four letters picked without replacement from jjjjjaujjaujajuau? 3/85 Three letters picked without rep
{ "pile_set_name": "DM Mathematics" }
100*t**2. Let z be v(0). Which is the smallest value? (a) z (b) -0.2 (c) 5 (d) 1/4 b Let f be 8184/(-9207)*(-3)/(-2)*-3. What is the smallest value in 3, -2, f, 1/5, -10? -10 Suppose -1 = t - 30*m + 33*m, -4*m = 2*t - 4. Let d = -1 - -1. Which is the smallest value? (a) d (b) t (c) 6 a Let g = 3096 - 3096.5. Which is the fourth smallest value? (a) -34 (b) g (c) -12 (d) 1 d Let x be (-10)/(-8)*(-1)/(-5). Let m = 6.2 - 6.19. Let r = 19153 - 19151. Which is the smallest value? (a) r (b) m (c) x b Let t = -152 + 74. Let c = t - -83. Suppose -14 + 44 = -r. What is the third biggest value in -2, r, c? r Let l = 115/8 + -2431/168. Let w be ((-2)/(-6))/(80/(-12) + 5). What is the third smallest value in 0.5, w, -10, l? l Let l = 7898.7 - 7899. Which is the smallest value? (a) -2 (b) l (c) 201 (d) -0.4 a Let z = -666.501 - -0.501. Let j = -665.5 - z. Which is the biggest value? (a) j (b) -4 (c) 2/11 (d) 2/9 a Suppose 7*m - 31*m + 2880 = 0. Let s = 842/7 - m. What is the third biggest value in 1/2, 8, s, -3? s Let g = 3.9952 + -0.9952. What is the third smallest value in -0.16, -1, g, 2/3, 2? 2/3 Let b = -564 + 284. Let w be -4 + b/(-68) - (-416)/(-1224). Suppose -2*p = 2*p - 5*g + 10, 0 = 5*p + 5*g - 10. What is the second biggest value in 10/7, p, w? p Suppose -4*g = 12, -24 = m - 4*m + 3*g. Suppose -3 + m = 2*w. Let j = 167.88 - 167.78. What is the second smallest value in 24, w, j? w Let z = -5258.658 + 5268. Let n = z - 0.342. What is the second biggest value in -5, 2, n, 3? 3 Let j = -11525 - -11520. Which is the second biggest value? (a) j (b) -1 (c) 2/7 (d) 9 (e) 3/10 e Suppose -70*q = 181*q - 753. What is the smallest value in q, 2, -2/13, -0.301? -0.301 Let k = -65.52 - -65.53. What is the second biggest value in k, 0.37, -2? k Let q be 16 + (-584)/40 - 53/45. Which is the third smallest value? (a) 2/13 (b) q (c) -130 b Let u = 254/33 - 92/11. Which is the smallest value? (a) 2 (b) 30 (c) -2/13 (d) u d Let v = 0.0072 - -0.1528. What is the third smallest value in -1, v, -3/7, 3, -0.3? -0.3 Let l = -38233/7 + 5462. What is the second smallest value in -1, l, 0, 1, 479? 0 Let o = -57 - -57.01. Let d(z) = 4*z**2 - 79*z - 15. Let c be d(20). What is the third biggest value in c, 3, o? o Let x = -2/43 - -49/129. Let w = 229/4 + -57. Let r = -273328 - -1093307/4. Which is the smallest value? (a) w (b) x (c) r (d) 2 c Let c be 1/(5 - 8/(-40)*-44 - -4). What is the fifth smallest value in 0.579, -3, 2/9, c, -4? c Let l be 155/200 + (-2)/5. Let s = -5.71 + 5.61. Which is the fourth biggest value? (a) -4 (b) 0 (c) s (d) l a Let q = 5.68 - 0.68. Let h(f) = -f**3 + 6*f**2 + 3*f - 17. Let g be h(6). Which is the biggest value? (a) g (b) -1/4 (c) -1/2 (d) q d Let x be 33/(-72) - (20 - 3)/(-136). What is the third biggest value in -5, x, 1/4, -0.094? x Let c = -2/3019 - 6016/33209. What is the smallest value in -0.4, -2/111, 2/15, -3, c? -3 Let b = -163 - -279. Let q = b - 114. What is the smallest value in 3/4, 0.26, q? 0.26 Let k = -20.5 + 21. Let z be (11/(-22))/((-2)/24). Suppose 9*j = 7*j - z. Which is the smallest value? (a) -5 (b) j (c) k a Let o = 23787.6 - 23788. Which is the third biggest value? (a) -2 (b) o (c) 41 (d) -5/7 d Let o = 221.1 - 221. Let m = 0.509 + -1.509. What is the smallest value in 90, o, m? m Let z be (-8)/20 + 81/540. What is the second smallest value in 2, -1/3, -1/7, z, -256? -1/3 Let y = 46/15 + -821/165. Let j = y + 71/66. Which is the second biggest value? (a) 113 (b) 3/7 (c) j (d) -4 b Let v(x) = -3*x**2 + 4*x + 731. Let r be v(-15). Let z = -3.4 + 0.4. Let k = 2.99 + z. Which is the second biggest value? (a) 5 (b) r (c) 1 (d) k c Let a = 12347 + -11756.7. Let h = 590 - a. What is the smallest value in -23, h, -0.4? -23 Let y = 62 - 61.9. Let u be ((-8)/(-90))/((-2)/(-10)). Which is the third smallest value? (a) u (b) y (c) -4 (d) 2/61 b Let q = -13/7 + 46/21. Suppose -5*v + 3*v = -6. Suppose 4*l = -v*g + 27, 5*g + l + 7 = 35. Which is the fourth smallest value? (a) -0.2 (b) -5 (c) g (d) q c Let v be (-29)/928 - 77/(-416). Let r = 2 + -2.1. Which is the biggest value? (a) 3 (b) v (c) r a Let x be 12/(-9)*3/(-26). Let h be (-3440)/(-75) + (-6)/(-45). Let v = h - 52. Which is the smallest value? (a) x (b) v (c) -3/7 b Let p = 9072 + -9071.6. Which is the third smallest value? (a) 0.1 (b) 2/7 (c) -197 (d) p b Let f = 2.4504 + -2.4504. Let q(r) = -r + 5. Let j be q(0). Which is the smallest value? (a) j (b) f (c) -3/2 c Let i = -0.0647929 - -0.0647929. Suppose 0 = -4*l - o - 0*o + 16, 0 = 5*l + 5*o - 5. What is the biggest value in l, i, 0.2? l Let x(u) = -17*u**2 + 34*u - 3. Let l be x(2). Which is the fourth biggest value? (a) 3 (b) -15 (c) l (d) 1/4 b Let w be -3*((-130)/13 + 11 + (-2)/4). What is the smallest value in 1, -1876, -0.5, w? -1876 Let u be ((-54)/(-21))/((-6)/28). Let v = 16 + u. Which is the biggest value? (a) v (b) -1/8 (c) 7/2 a Let h = 14 + -12. Let z = -30115/782 - -4/391. Let g = 38 + z. What is the smallest value in g, 0.4, h? g Let h = 4.146 + -0.146. Let f = -1318.8 + 1319. What is the second biggest value in f, 52, h? h Let z = 3 - 1. Suppose -8*g - 1627 = -10187. Let v = g + -1069. Which is the third biggest value? (a) z (b) v (c) -3 c Let f be (1 + (-18)/16)*(-2286)/(-254). Let v = -4 - -2. Which is the second biggest value? (a) f (b) 0.1 (c) v (d) 3 b Let t = 27.08 + -100.6. Let y = t + 73. Let f = 0.62 + y. What is the fourth smallest value in -6, 1/9, -1, f? 1/9 Suppose 158 = 14*n + 242. What is the second smallest value in -0.5, n, 0.2, -0.26? -0.5 Suppose 3*c + 4426 = 3*b + 880, 0 = -4*c + 2*b - 4724. Let h = -92 - -88. Let j be 5*((-32)/c)/h. What is the third biggest value in 3, j, -2? -2 Let o be ((-8)/(-10))/(2/35). Let s be -28 - (-3 + 5 + 0). Let r be s/(-10) + o/(-4). What is the third smallest value in 6, 0.4, r? 6 Let k = 0.6 - -4.2. Let u = k - 0.8. Let r = 67106.6 + -67107. Which is the second biggest value? (a) r (b) 5 (c) 0.5 (d) u d Let t be 1*(-6 - -4)/16. Let i be (-98)/6*10/990. Let o = -2/27 - i. Which is the biggest value? (a) o (b) 4 (c) t b Let r be 32/26 + 12/(-36)*27 + 8. What is the second biggest value in r, 4/9, 11? 4/9 Let r(w) = -45*w + 260. Let h be r(6). Let t be h/3 - ((-33)/3 + 6). Which is the fourth smallest value? (a) t (b) -0.4 (c) -2 (d) -4 a Let w = 74.81 + -65.2. Let o = w + 1.29. Let h = o - 11. Which is the third biggest value? (a) 4 (b) 1/4 (c) 7 (d) h b Let r = 389.1 + -38.1. Let b = r - 350.7. What is the second smallest value in 2/11, 1/3, -2/11, b? 2/11 Let s = -13300 + 13314. Let o = 19 - 11. Which is the second biggest value? (a) s (b) 5 (c) o c Let g = 0.04 + -0.44. Let j = -292.01 + -1.99. Let t = -295 - j. What is the second smallest value in t, g, 0, 3? g Suppose 15*l = -14*l + 33*l - 32. Which is the smallest value? (a) -5/3 (b) -0.4 (c) 0.3 (d) l (e) 3 a Let m = -7.64 - -7.9. Let j = -0.0883 + -0.2117. Which is the second biggest value? (a) j (b) 0.3 (c) m (d) -1/2 c Let q be 19 + 9 + 7 + -37. Let h = -2 - -1.7. Let r = -0.3 - h. Which is the smallest value? (a) r (b) q (c) -5 c Let m = 0.8819 - 0.9819. What is the fourth biggest value in 1.2, m, 7/3, -1, 0.5? m Let n = 2.8992 - 1.1992. Which is the third biggest value? (a) n (b) 1/3 (c) 856 b Suppose 4*o + 72 = 4*w, 1 + 3 = w. Let p be o/(-2) - (-475)/(-75). Let d = -7 - -1. What is the fourth smallest value in 3, d, 4, p? 4 Suppose 57 = 119*j - 100*j. Which is the fourth smallest value? (a) j (b) -2/41 (c) 2/3 (d) 5/9 a Let h = -1371 + 1374. Suppose 0 = 3*j - i + 19, -4*i = 3*j - 6 + 35. Which is the third smallest value? (a) j (b) -1 (c) h c Let w = 3 - 25. Let y = w - -13. Let v = 430451 + -430450. Which is the fourth biggest value? (a) y (b) 1/2 (c) -0.2 (d) v a Let n = 11895 - 12034. Which is the smallest value? (a) 1/3 (b) n (c) 2 (d) -0.1 b Let k = 539.4 - 102.4. Let n = 433 - k. What is the fourth biggest value in -0.4, 2/7, 1/11, n? n Let s = -0.948 - -0.948. Which is the second biggest value? (a) -498 (b) -0.4 (c) s b Suppose 5*t + 5*z - z + 200 = 0, 4*t + 169 = -5*z. Let c be (9/t)/(2/6). What is the second smallest value in c, -
{ "pile_set_name": "DM Mathematics" }
**4. 5*(d + 1)*(3*d + 2)**3/2 Suppose -11*v + 3*a = -7*v, 3*v + a - 13 = 0. Factor -4/9*y**2 - 2/9*y**v + 0*y + 0. -2*y**2*(y + 2)/9 Solve -2*r**2 + 0 + 2*r**4 - 4/5*r + 4/5*r**3 = 0. -1, -2/5, 0, 1 Factor 0 - 13*k + 9*k**3 - 21*k**3 + 6 + 11*k**3 + 8*k**2. -(k - 6)*(k - 1)**2 Let t(k) be the second derivative of k**4/12 - k**3/6 - k**2 - 7*k. Factor t(r). (r - 2)*(r + 1) Factor 0 + 1/2*s**3 + 0*s - s**2. s**2*(s - 2)/2 Let f be (-1)/((-9)/((-18)/(-80))). Let q(j) be the second derivative of 0*j**3 + 0 + 0*j**4 + j + f*j**5 + 0*j**2. Suppose q(x) = 0. What is x? 0 Factor -1/3*k**2 + 1/3*k + 2/3. -(k - 2)*(k + 1)/3 Let y = -141/2 + 427/6. Determine s so that -1/3*s**3 + y*s + 0 - 1/3*s**2 = 0. -2, 0, 1 Let y be (-2)/3*(-27)/(-10). Let o = 11/5 + y. Let o*c**3 - 2/5 - 2/5*c + 2/5*c**2 = 0. Calculate c. -1, 1 Let n be (2 - (2 - 1))*0/177. Let -1/3*a**2 - 1/3*a + n = 0. What is a? -1, 0 Let b be (6/(-7))/((-26)/91). Let l(m) be the second derivative of 0*m**4 + m + 0 + 0*m**2 + 0*m**b - 1/25*m**5 - 7/75*m**6. Determine w so that l(w) = 0. -2/7, 0 Suppose 0 = -2401*m + 2391*m + 20. Factor 5/3 + 10/3*q + 0*q**m - 10/3*q**3 - 5/3*q**4. -5*(q - 1)*(q + 1)**3/3 Suppose -3*y + 5*p + 26 = 0, 5*p = -26 + 6. Let -9/2*s - 27/4 - 3/4*s**y = 0. Calculate s. -3 Let y(c) be the third derivative of 0*c**3 + 1/15*c**6 + 0 - 1/18*c**4 - 1/45*c**7 - 1/30*c**5 - 2*c**2 + 0*c. Solve y(l) = 0 for l. -2/7, 0, 1 Suppose 1 + 7*t**5 - 8*t**5 + 0*t - 2*t**3 + 2*t**2 + 3*t - 3*t**4 = 0. Calculate t. -1, 1 Let r = 535 - 533. Factor -5*a**r + 7/4*a + 3/4. -(4*a + 1)*(5*a - 3)/4 Factor 2/9*r - 4/9*r**2 + 0 + 2/9*r**3. 2*r*(r - 1)**2/9 Let d be 3/18*1*(0 - -2). Solve -d + 8/3*x**3 + 7/3*x**4 - 2/3*x + 2/3*x**5 + 2/3*x**2 = 0 for x. -1, 1/2 Let c(v) be the third derivative of -v**5/48 - 5*v**4/48 - 5*v**3/24 - v**2 - v. Factor c(o). -5*(o + 1)**2/4 Let c(w) = w**4 - 6*w**3 - 11*w**2 - 14*w - 2. Let p(o) = 6*o**4 - 30*o**3 - 54*o**2 - 71*o - 9. Let x(l) = 11*c(l) - 2*p(l). Factor x(h). -(h + 1)**2*(h + 2)**2 Let p(k) be the third derivative of k**5/60 - k**3/6 + 5*k**2. Factor p(r). (r - 1)*(r + 1) Let p(f) be the first derivative of f**4/4 - 2*f**3 + 9*f**2/2 - 4*f - 5. Let v(j) be the first derivative of p(j). Factor v(o). 3*(o - 3)*(o - 1) Factor -1/3*y**5 + 0 + 0*y - 1/3*y**3 + 2/3*y**4 + 0*y**2. -y**3*(y - 1)**2/3 Let h be 2*1/(4 - 2). Let n be (4 - h)/(3/5). Suppose -8*m**3 + 7*m**3 - 2*m**2 - 3*m**n - 2*m**5 + 8*m**4 = 0. Calculate m. -2/5, 0, 1 Let f(d) be the second derivative of d**5/50 - 4*d**3/15 - 13*d. Determine r, given that f(r) = 0. -2, 0, 2 Let c(k) be the third derivative of k**6/1260 - k**3/6 + 2*k**2. Let z(g) be the first derivative of c(g). Find j, given that z(j) = 0. 0 Let g(f) be the first derivative of -9*f**4/16 - 5*f**3/4 + 4*f**2 - 3*f - 9. Find y such that g(y) = 0. -3, 2/3 Let p(o) be the first derivative of 5 + 0*o**3 - 1/6*o**4 + 0*o + 0*o**2. What is y in p(y) = 0? 0 Let b(w) be the second derivative of 2*w + 1/9*w**4 + 0*w**2 - 1/15*w**5 + 0 + 0*w**3. Factor b(k). -4*k**2*(k - 1)/3 Factor 6/5*g**4 - 2/5 + 6/5*g - 4/5*g**3 - 4/5*g**2 - 2/5*g**5. -2*(g - 1)**4*(g + 1)/5 Let q = -20/37 - -359/185. Factor -8/5 - 26/5*w + q*w**2. (w - 4)*(7*w + 2)/5 Let n(i) be the second derivative of -2/25*i**6 - 3*i - 1/5*i**4 + 9/50*i**5 + 1/70*i**7 + 1/10*i**3 + 0*i**2 + 0. Factor n(j). 3*j*(j - 1)**4/5 Suppose -3*z - 2*z + 55 = 0. Factor 2*r - 2*r + 12*r**2 - z*r**2. r**2 Suppose 0 = -2*r + 10 - 2. Suppose 11 = -s - 3*v + r, -v = -3*s + 19. Determine c, given that -s*c + 2*c**3 - c**4 - c**2 + 5*c = 0. 0, 1 Let s(d) be the first derivative of 3 + 1/4*d**4 + 0*d + 0*d**2 - 1/3*d**3. Factor s(c). c**2*(c - 1) Suppose -w - 4*m = -155, -3*w + m + 140 = -338. Let z = w - 1111/7. Solve 0 + z*q**3 + 0*q**2 + 0*q - 2/7*q**4 = 0 for q. 0, 1 Let h(l) = l**5 + 4*l**4 - l**3 - 4*l**2. Let o(f) be the third derivative of -f**7/210 + f**5/60 - f**2. Let w(d) = h(d) + 3*o(d). Factor w(p). p**2*(p - 1)*(p + 1)**2 Let h(f) be the third derivative of -f**5/120 - f**4/24 - f**3/12 - 3*f**2. Determine d, given that h(d) = 0. -1 Suppose -2*b - z = -7, -8*b + 3*b - 5*z + 20 = 0. Factor 3*d**b + d + d**3 + 3*d**2 - 2*d**3. d*(d + 1)*(2*d + 1) Let a be (-4)/(64/20)*-4. Suppose -4*o + 19 = 3*u + 2*u, -3*u = -4*o - a. Factor 3/2 - 3/2*d**4 - u*d + 3*d**3 + 0*d**2. -3*(d - 1)**3*(d + 1)/2 Let f(b) be the second derivative of b**5/12 + b**4/18 - 5*b**3/18 - b**2/3 + 10*b. Let f(g) = 0. What is g? -1, -2/5, 1 Let f(t) be the first derivative of 1/4*t**4 - 3 - 1/18*t**6 + 0*t - 1/3*t**2 - 1/15*t**5 + 1/9*t**3. Solve f(j) = 0 for j. -2, -1, 0, 1 Suppose 0 - 5/2*u**4 - 5/2*u**5 + 5/2*u**2 + 5/2*u**3 + 0*u = 0. Calculate u. -1, 0, 1 Let y(p) = 2*p**2 + 15*p + 5. Let q be y(-10). Let i be (-4)/(-22) - (-815)/q. Factor 3*o + i*o**2 - 5 - 2*o + 3. (3*o - 1)*(5*o + 2) Determine z, given that 572/5*z**3 - 8/5 - 426/5*z**2 - 242/5*z**4 + 104/5*z = 0. 2/11, 1 Suppose -2*l = -6*l + 16. Let i(x) be the first derivative of 1/2*x**l + 0*x - 2/3*x**3 + 0*x**2 - 2. Solve i(f) = 0. 0, 1 Let t = 6 - 5. What is f in f - 3 - f**3 + t + 2 = 0? -1, 0, 1 Let v(w) be the third derivative of w**7/735 - w**5/210 + 2*w**2. Determine f so that v(f) = 0. -1, 0, 1 Let n = -31 - -36. Let g(q) be the second derivative of 5/18*q**4 - q + 2/9*q**3 + 0*q**2 + 0 - 7/30*q**n. Factor g(w). -2*w*(w - 1)*(7*w + 2)/3 Let j(b) be the first derivative of -b**8/5040 + b**6/180 - b**5/45 + b**4/24 + 10*b**3/3 + 3. Let r(p) be the third derivative of j(p). Factor r(k). -(k - 1)**3*(k + 3)/3 Let v be (-36)/(-6) - (3 + 0). Suppose v*u = 8*u. Find a, given that 2/3*a**2 - 2/3*a**4 - 2/3*a**3 + u + 2/3*a = 0. -1, 0, 1 Let h be ((-1210)/(-297))/((-2)/(-87)). Let f = -177 + h. Suppose 0 + 0*a**2 + 2/9*a**3 - f*a = 0. Calculate a. -1, 0, 1 Suppose -3*j = -0 - 12. Solve -6*q**2 - 9*q - 1 + j*q**2 - 5*q**2 - 1 = 0. -1, -2/7 What is r in 0 + 0*r + 16*r**3 + 32/7*r**2 + 8/7*r**5 - 62/7*r**4 = 0? -1/4, 0, 4 Let x = -55 + 57. Find h, given that -33/2*h**4 + 9/2*h**5 - 9*h**x + 21*h**3 + 3/2 - 3/2*h = 0. -1/3, 1 Let i = -4 + 5. Find t, given that t - i + 13*t**2 - t - 12*t**2 = 0. -1, 1 Let c(g) = 10*g**4 + 16*g**3 + 6*g**2 - 16*g - 22. Let r(d) = -d**4 + d**2 + 1. Let a(o) = -c(o) - 6*r(o). Factor a(i). -4*(i - 1)*(i + 1)*(i + 2)**2 Let d(f) = -7*f**4 + 10*f**2 - 4*f - 7. Let k(z) = -48*z**4 + 69*z**2 - 27*z - 48. Let b(w) = 27*d(w) - 4*k(w). Solve b(a) = 0. -1, 1 Factor 24/5*t + 2/5*t**3 - 16/5 - 12/5*t**2. 2*(t - 2)**3/5 Let f(y) be the third derivative of 1/4*y**4 - 1/20*y**5 + 0 - 1/20*y**6 + 0*y - y**2 + 1/70*y**7 + 0*y**3. Let f(d) = 0. What is d? -1, 0, 1, 2 Let t(m) = m. Let c(g) = -g**2 + g - 1. Suppose -4*y = -2*s - 24, 1 + 5 = -3*s. Suppose -5*w = 2*x - 8, 2*w + 1 = y. Let p(q) = x*t(q) - c(q). Factor p(n). (n - 1)**2 Let f(y) be the second derivative of 3*y + 1/8*y**4 - 3/2*y**2 + 0 + 0*y**3 - 1/20*y**5. Let x(o) be the first derivative of f(o). Factor x(r). -3*r*(r - 1) Let y = 12 - 7. Let i be y/((-5)/(-2)) + -2. Factor -3*f**4 - f**3 + f**4 + i*f**3 - f**5. -f**3*(f + 1)**2 Let v = 12 - 10. Suppose -4*m - i = v*i - 5, -3*i - 13 = -5*m. Factor 0 - 2/5*g**m + 0*g + 2/5*g**3. 2*g**2*(g - 1)/5 Let s(p) be the third derivative of p**8/504 + 11*p**7/945 + p**6/36 + p**5/30 + p**4/54 - 3*p**2. Find m such that s(m) = 0. -1, -2/3, 0 Let m(w) be the third derivative of 0*w**4 + 0*w**3 + 1/840*w**8 + 0*w**5 + 0 + 5*w**2 + 0*w**7 - 1/300*w**6 + 0*w. Factor m(p). 2*p**3*(p - 1)*(p + 1)/5 Factor -1/2*b**3 + 0*b + 0 + 1/4*b**4 + 1/4*b**2. b**2*(b - 1)**2/4 Factor 0*i**3 - 3/2*i**4 + 0*i + 0 + 3/2*i**2. -3*i**2*(i - 1)*(i + 1)/2 Let b(s) be the second derivative of -s**5/5 - 7*s**4/3 + 7*s. Find o such that b(o) = 0. -7, 0 Let j(b) = -3*b**2 - 29*b + 10. Let y be j(-10). Factor y + 2/5*a**3 + 4/5*a + 6/5*a**2. 2*a*(a + 1)*(a + 2)/5 Let i(g) be the second derivative of g**2 - 1/3*g**3 - g**4 + 1/3*g**6 + 10*g + 1/7*g**7 - 1/5*g**5 + 0. Factor i(k). 2*(k - 1)*(k + 1)**3*(3*k - 1) Let j(o) be the second derivative of -o**8/20160 - o**7/1890 - o**6/540 - o**4/3 - 5*o. Let f(r) be the third derivative of j(r). Factor f(y). -y*(y + 2)**2/3 Suppose r = -2 + 7. Solve 1/2*c**3 + 2*c**2 - 9/4*c**4 - 3/2*c + c**r + 1/4 = 0. -1, 1/4, 1 Let a(d) = -20*d**
{ "pile_set_name": "DM Mathematics" }
). sqrt(2)/3 Simplify (6*(sqrt(832)*-1 + -5))**2. 2880*sqrt(13) + 30852 Simplify 4*(sqrt(1300)*-2 + 4 - sqrt(1300)). -120*sqrt(13) + 16 Simplify sqrt(170)/(3*sqrt(640)). sqrt(17)/24 Simplify (sqrt(27)/(sqrt(9)*3))**2 + sqrt(9)/sqrt(3)*-3. -3*sqrt(3) + 1/3 Simplify (1 + sqrt(432) + sqrt(432) + 3)*3. 12 + 72*sqrt(3) Simplify -2*((sqrt(5) + sqrt(20)/sqrt(4))**2*-3 + (5*1*sqrt(5))**2). -130 Simplify ((3*sqrt(396) - sqrt(11)) + 3*sqrt(44))**2. 5819 Simplify (sqrt(378)/sqrt(6))**2 - -3*(4 + sqrt(7) + sqrt(7)). 6*sqrt(7) + 75 Simplify ((2 + sqrt(153))*1)**2. 12*sqrt(17) + 157 Simplify -5 + (sqrt(228)*2)/sqrt(12). -5 + 2*sqrt(19) Simplify 1 + (sqrt(3) - (0 + sqrt(6)/sqrt(2))**2). -2 + sqrt(3) Simplify (sqrt(70)/(sqrt(30)/sqrt(3)) + -5)*5. -25 + 5*sqrt(7) Simplify (sqrt(128)/sqrt(2))/sqrt(2). 4*sqrt(2) Simplify 0 + sqrt(68)*6 + 5. 5 + 12*sqrt(17) Simplify (-1 + (sqrt(539) + 2 + sqrt(539))*2)**2 + -2. 168*sqrt(11) + 8631 Simplify 3*(sqrt(39) + sqrt(39)*-2)/sqrt(3)*2. -6*sqrt(13) Simplify sqrt(7)*-3 + 2 + sqrt(70)/(sqrt(360) - sqrt(10)). -14*sqrt(7)/5 + 2 Simplify sqrt(102)/(sqrt(36)/sqrt(6)*-1) + -2. -sqrt(17) - 2 Simplify ((sqrt(343) + -5)*5*2)**2. -7000*sqrt(7) + 36800 Simplify (sqrt(130)*-6*6)/sqrt(10)*6. -216*sqrt(13) Simplify (sqrt(125) + 4 + sqrt(5) + -4 + 2*sqrt(5))**2. 320 Simplify ((sqrt(180) - (sqrt(180) + 2))*1 + (sqrt(180) - (-1 + (-3*sqrt(180) - sqrt(180))) - sqrt(180)))**2. -48*sqrt(5) + 2881 Simplify -5*((sqrt(132)/sqrt(3))/sqrt(4) + sqrt(11) + 5)**2. -345 - 100*sqrt(11) Simplify (-2 + -4*(sqrt(2) - sqrt(14)/sqrt(7)))**2*-6. -24 Simplify 2 + (5 + (-1 + sqrt(2) - sqrt(2)))**2*-3. -46 Simplify ((sqrt(605) + 0 + sqrt(605))*2 - sqrt(605))**2. 5445 Simplify sqrt(15)/sqrt(3) + -2 - -4*(sqrt(5) + 0). -2 + 5*sqrt(5) Simplify ((sqrt(150)/sqrt(5))/sqrt(10) - (-1 + sqrt(3)*-2))**2. 6*sqrt(3) + 28 Simplify -2*(-5*1*sqrt(243))**2. -12150 Simplify (sqrt(272) + -1)*2 + -3. -5 + 8*sqrt(17) Simplify (sqrt(28) + -3 - (sqrt(98)/sqrt(2))/sqrt(7))**2*3. -18*sqrt(7) + 48 Simplify ((sqrt(180)*4 + 4)*-5)**2. 4800*sqrt(5) + 72400 Simplify 2*(sqrt(7) + -3 + sqrt(112) + sqrt(7)). -6 + 12*sqrt(7) Simplify (1 + sqrt(704) - 2*sqrt(11)*-6)**2 + (1 + sqrt(99))**2*5. 70*sqrt(11) + 4901 Simplify 5*(((sqrt(1100) + -1 - sqrt(1100))*5)**2 - (sqrt(1100) - sqrt(1100)*2*-6)). -650*sqrt(11) + 125 Simplify (sqrt(200))**2*2 - (sqrt(128) + -5)**2. 80*sqrt(2) + 247 Simplify -2 + sqrt(152)/(4*sqrt(288)). -2 + sqrt(19)/24 Simplify 2*sqrt(24)/((sqrt(8) - sqrt(96)/sqrt(192)) + sqrt(8)). 8*sqrt(3)/7 Simplify -4*(1 + sqrt(847) + -2)**2. -3392 + 88*sqrt(7) Simplify (((sqrt(32)/sqrt(2) - sqrt(16))*5 - sqrt(16) - sqrt(16)) + sqrt(16))/(sqrt(128)*6). -sqrt(2)/24 Simplify (-4 + sqrt(133)/sqrt(7) - (-1*sqrt(19) + 5))**2 + -3. -36*sqrt(19) + 154 Simplify ((-2 + sqrt(3))*-6)**2 + -1. -144*sqrt(3) + 251 Simplify (5*sqrt(204)*-3)/(sqrt(96)/(sqrt(8)*-2) - sqrt(12)). 10*sqrt(17) Simplify sqrt(76)*2 - sqrt(76) - (2*sqrt(19) + 5). -5 Simplify (5 + 2 + 1*sqrt(13) + -4)**2. 6*sqrt(13) + 22 Simplify 0 + -5 + (2*sqrt(80))**2. 315 Simplify (2*(sqrt(539) + -3 - sqrt(539)))**2. 36 Simplify 2*((sqrt(833)*3)**2 + -3*(sqrt(17) + 1)). -6*sqrt(17) + 14988 Simplify sqrt(45)/(1*sqrt(1296) + sqrt(1296)). sqrt(5)/24 Simplify (sqrt(99) + sqrt(99) + (5*(sqrt(99) + (sqrt(99) - -3*sqrt(99))) - sqrt(99))**2)*1. 6*sqrt(11) + 57024 Simplify (sqrt(6292) - -2*sqrt(6292))**2 - ((sqrt(5200) - (sqrt(5200) + 0)) + sqrt(52))**2. 56576 Simplify 4*(3 + -3*sqrt(42)/sqrt(6)). -12*sqrt(7) + 12 Simplify -3 + 5 + sqrt(5) + 0. 2 + sqrt(5) Simplify 1 + (sqrt(1008) + sqrt(1008)*2)**2 + -3. 9070 Simplify (sqrt(140)/sqrt(250) + sqrt(14) + sqrt(14))/(sqrt(63)*-6). -11*sqrt(2)/90 Simplify -3 + -4*-2*(sqrt(1573) + ((-2*sqrt(1573) - sqrt(1573)) + sqrt(1573) + sqrt(1573))**2 + sqrt(1573) - sqrt(13)). 168*sqrt(13) + 12581 Simplify -6*(-5*(0 + sqrt(7)) + sqrt(7) + sqrt(7)). 18*sqrt(7) Simplify (sqrt(300) + (0 + sqrt(300))*-1)**2. 0 Simplify (3*sqrt(425) + -1 + sqrt(1700))**2. -50*sqrt(17) + 10626 Simplify -3 + 5*(sqrt(36)/sqrt(3) - sqrt(12))**2. -3 Simplify (sqrt(1715)*4 + sqrt(35))/sqrt(7) + 5. 5 + 29*sqrt(5) Simplify (sqrt(26)/sqrt(2)*-6 - (sqrt(130)*1)/sqrt(10))*2. -14*sqrt(13) Simplify sqrt(684)*6 - -1*sqrt(1539). 45*sqrt(19) Simplify (sqrt(208)*2)**2 + 0 - (sqrt(208) + 0)**2*2. 416 Simplify (-5 + sqrt(800) + 1 + 5)**2. 40*sqrt(2) + 801 Simplify ((sqrt(19) + 1)*-1 - (sqrt(19) + sqrt(190)/(sqrt(10)*-1)))**2. 2*sqrt(19) + 20 Simplify -5*(-5 + 0 + (sqrt(832) + -1)**2). -4140 + 80*sqrt(13) Simplify sqrt(2048) + 2. 2 + 32*sqrt(2) Simplify 2*(((sqrt(50)*2)/sqrt(10) - sqrt(5)) + -1). -2 + 2*sqrt(5) Simplify ((sqrt(72) + -2)*-6)**2. -864*sqrt(2) + 2736 Simplify (sqrt(2) + (sqrt(2) - sqrt(6)/sqrt(12)) + (sqrt(200) - (sqrt(200)*-2 - sqrt(200))))**2. 6889/2 Simplify sqrt(88)/(sqrt(1152)*-2) + 3. -sqrt(11)/24 + 3 Simplify (sqrt(5)*1*2 + 4 + 1)**2. 20*sqrt(5) + 45 Simplify (-1*sqrt(2057) - sqrt(2057)) + sqrt(2057) + 5 + -2. -11*sqrt(17) + 3 Simplify 1*sqrt(78)/(sqrt(12)/sqrt(2)) + sqrt(143)/(sqrt(33)/sqrt(3))*-5. -4*sqrt(13) Simplify (-5*(2*sqrt(77) - sqrt(77) - sqrt(77)))/(sqrt(343)*-1). 0 Simplify 3 + (sqrt(102) + (2*sqrt(102) - sqrt(102))*5)/sqrt(6). 3 + 6*sqrt(17) Simplify (-1*sqrt(832))/(sqrt(24)/sqrt(96)). -16*sqrt(13) Simplify (sqrt(14)/(sqrt(63)*3))**2. 2/81 Simplify (sqrt(56)/(sqrt(24)/sqrt(3)) + sqrt(28)/(sqrt(8)/sqrt(2)) + -4 + sqrt(7) + -1*sqrt(7) + 0)**2. -16*sqrt(7) + 44 Simplify (sqrt(40) - 1*sqrt(40))/sqrt(8) - (sqrt(5) + (-2*sqrt(5)*5)**2 + sqrt(5)). -500 - 2*sqrt(5) Simplify -1 + sqrt(19)*-1 + sqrt(19) + -4. -5 Simplify (5 + -1*sqrt(13))**2 + ((sqrt(65)*4)/sqrt(5))**2. -10*sqrt(13) + 246 Simplify (sqrt(136)*1*-1)/(sqrt(8) - -5*-1*sqrt(8)). sqrt(17)/4 Simplify sqrt(1100) + (-4 + sqrt(1100)*-1)**2 - 1*(sqrt(1100) + 0). 80*sqrt(11) + 1116 Simplify 3 + 1 + sqrt(30)/(sqrt(6)*2). sqrt(5)/2 + 4 Simplify (-1*sqrt(1700) + 3)**2. -60*sqrt(17) + 1709 Simplify 2*sqrt(11)*-4 + (sqrt(22)/(sqrt(10)/sqrt(5)))**2. -8*sqrt(11) + 11 Simplify sqrt(14)/(sqrt(8) + sqrt(2))*1. sqrt(7)/3 Simplify ((sqrt(385) + -1*sqrt(385))/sqrt(11))/(-1*sqrt(448)). 0 Simplify 3 + 4 + -4 + sqrt(180). 3 + 6*sqrt(5) Simplify 1*(sqrt(28) + 1). 1 + 2*sqrt(7) Simplify (sqrt(112)/sqrt(4)*2)/(sqrt(196) - (sqrt(196) - 1*sqrt(196))). 2*sqrt(7)/7 Simplify (2*sqrt(153)*-2)/sqrt(9). -4*sqrt(17) Simplify 4*(sqrt(13) - (-1*sqrt(13) + sqrt(13) + 4))*-5. -20*sqrt(13) + 80 Simplify ((sqrt(300)*-2 + -1)*4)**2. 640*sqrt(3) + 19216 Simplify (sqrt(63)/sqrt(3) + sqrt(21))/sqrt(3) + sqrt(7) + sqrt(63)*-6. -15*sqrt(7) Simplify 1 + sqrt(40)/(sqrt(72)*-3). -sqrt(5)/9 + 1 Simplify (sqrt(19) - (sqrt(19) - (-1 + sqrt(133)/sqrt(7)))) + (3*sqrt(171))/sqrt(9). -1 + 4*sqrt(19) Simplify (1 + (sqrt(49)/(sqrt(70)/(-2*sqrt(10))))**2)*4. 116 Simplify sqrt(432)*2 + -1 + (sqrt(432) - ((-2 + sqrt(432))**2 + 2) - sqrt(432)). -439 + 72*sqrt(3) Simplify sqrt(209)/(sqrt(77)/(sqrt(28) - sqrt(7))). sqrt(19) Simplify (-3 + (sqrt(847) + 4)**2)*-5. -4300 - 440*sqrt(7) Simplify (sqrt(891)*-1 - sqrt(891))*-2. 36*sqrt(11) Simplify (sqrt(50)/sqrt(810))**2 - (sqrt(5) + 0 + -4). -sqrt(5) + 329/81 Simplify (sqrt(304)*4 + -5)*-6. -96*sqrt(19) + 30 Simplify (sqrt(45) + (sqrt(45) - sqrt(405)/sqrt(81)) - sqrt(45))/sqrt(9)*5. 10*sqrt(5)/3 Simplify (2 + 1*sqrt(99))**2. 12*sqrt(11) + 103 Simplify 0 + -2*(sqrt(320)/(sqrt(10)*-2) - sqrt(32)). 12*sqrt(2) Simplify ((sqrt(182) + -3*sqrt(182) + sqrt(182) + sqrt(182))/sqrt(7))/sqrt(2). 0 Simplify (-5*(sqrt(304) - sqrt(19)) + sqrt(19) + sqrt(19) - (sqrt(76)/sqrt(4)*-6)**2)*2. -1368 - 26*sqrt(19) Simplify ((1 + sqrt(1584))*1 + -2*(sqrt(1584) + 1))**2. 24*sqrt(11) + 1585 Simplify (sqrt(11) - sqrt(44)/sqrt(64))**2 + -3 + 4. 115/16 Simplify sqrt(19) + sqrt(19)*-1 + sqrt(19) + -5 + -3 + sqrt(76)/sqrt(4). -8 + 2*sqrt(19) Simplify ((4 + sqrt(5) - sqrt(5)) + 2)**2 - (sqrt(25)*4)/sqrt(5). -4*sqrt(5) + 36 Simplify (sqrt(70) - -2*sqrt(70)*-2)/(sqrt(120)/(sqrt(24)/sqrt(2))). -3*sqrt(7) Simplify (-5 + (5*(sqrt(700) + 1) - sqrt(700)))**2. 11200 Simplify (5 + 1 + (-2 + sqrt(13) - sqrt(13)) + -5)**2. 1 Simplify (sqrt(110)/sqrt(176))/(-2*sqrt(8)/sqrt(4)). -sqrt(5)/8 Simplify ((-2*sqrt(170) + sqrt(170))*-6 + sqrt(170))/sqrt(10). 7*sqrt(17) Simplify (sqrt(1584)*-3)**2 + -3. 14253 Simplify -3 + (sqrt(136) - sqrt(136)
{ "pile_set_name": "DM Mathematics" }
+ 2. Calculate r(z(v)). 17480*v - 462 Let c(h) = 3*h. Let j(l) be the second derivative of 0*l**3 - 8*l + 0 + 0*l**2 - 1/3*l**4. Calculate j(c(g)). -36*g**2 Let c = -16 - -30. Let k(x) = 3*x - c*x + 10*x. Let p(n) = -2*n. What is k(p(w))? 2*w Let b(n) = -4*n - 5. Let k(d) = -d - 3. Let y(t) = 3*b(t) - 5*k(t). Let l(w) = -8*w**2. Determine y(l(u)). 56*u**2 Let b(v) = -v**2. Let g(f) be the second derivative of -13*f**5/60 + 9*f**2/2 - 23*f. Let u(a) be the first derivative of g(a). What is u(b(z))? -13*z**4 Let u(i) = i**2 + 2*i - 2. Let x(t) = t - 1. Let r(l) = u(l) - 2*x(l). Let m(c) be the second derivative of 5*c**4/3 - 3*c. What is r(m(b))? 400*b**4 Let q(g) = -1255*g - 1. Let t(j) = -2*j + 211. Determine q(t(i)). 2510*i - 264806 Let u be 33/6*(12 - 0). Let n(i) = -23*i**2 - 32*i**2 + u*i**2. Let o(l) = 3*l**2. What is n(o(t))? 99*t**4 Let w(b) = -10 + 10 + b**2. Let m(y) = -y**2 + y - 1. Let a(x) = 5*x**2 + 5*x - 5. Let f(j) = -2*a(j) + 10*m(j). Determine w(f(n)). 400*n**4 Let j(w) be the second derivative of w**7/504 - w**4/12 + 17*w. Let y(l) be the third derivative of j(l). Let k(t) = 7*t**2. Give k(y(q)). 175*q**4 Let f(y) = 139736*y**2. Let w(a) = 3*a. What is f(w(j))? 1257624*j**2 Let b(i) = 737*i**2. Let q(f) = 136 - 401 - 2*f + 137 + 128. Determine b(q(h)). 2948*h**2 Let a(r) = -r. Suppose 6*s = 11*s + 10. Let t be ((-2)/2 - s) + 2. Let h(c) = 3*c - t*c - 8*c. Determine h(a(y)). 8*y Let h(u) = 21*u**2. Let d(n) = 250*n + 7. Calculate h(d(v)). 1312500*v**2 + 73500*v + 1029 Let k(x) = -76*x. Let d(t) = -16*t**2 + 2*t. What is k(d(j))? 1216*j**2 - 152*j Let i(s) = -1145*s**2. Let h(p) = 28*p**2. What is h(i(c))? 36708700*c**4 Let n(p) = -2*p. Let l(z) = -609*z**2 + 2*z - 38. Give l(n(r)). -2436*r**2 - 4*r - 38 Let m(c) = c. Suppose 4*o = 5*q, -5*o + 5*q = -3*o. Let j(y) be the second derivative of o*y**3 + 0 + 0*y**2 + 6*y + 1/2*y**4. Give j(m(s)). 6*s**2 Let c(j) = -58*j**2. Let m(b) = 11163 + 3*b - 11163. Give m(c(r)). -174*r**2 Let g(j) be the second derivative of -j**5/60 + 2*j**3 + 7*j. Let h(v) be the second derivative of g(v). Let d(s) = 7*s**2. Determine d(h(k)). 28*k**2 Let h(k) = -3*k**2. Let l(x) be the second derivative of -x**5/60 + 2*x**3/3 - 10*x. Let b(s) be the second derivative of l(s). Give h(b(j)). -12*j**2 Suppose 0 = -2*j - 0*j + 26. Let k(m) = -8*m + 6. Let y(l) = -16*l + 13. Let c(v) = j*k(v) - 6*y(v). Let h(b) = 2*b**2. Calculate h(c(o)). 128*o**2 Let u(y) be the second derivative of y**5/60 + 2*y**2 - 3*y. Let k(b) be the first derivative of u(b). Let g(p) = 2*p + 4*p - 5*p. Calculate k(g(r)). r**2 Let c(y) = 63*y. Let x(h) be the third derivative of h**4/24 - 42*h**2. What is x(c(p))? 63*p Let n(r) be the third derivative of -23*r**5/60 - r**2 - 5. Let o(t) = t. Determine o(n(q)). -23*q**2 Let v(x) = 23*x. Suppose 0 = 13*t - 11*t - 4. Let f(g) = -4*g**t + 0*g**2 - 2*g**2 + 3*g**2. Calculate f(v(j)). -1587*j**2 Let u(l) = 118*l**2 + 26*l. Let b(p) = 3*p. Calculate u(b(x)). 1062*x**2 + 78*x Let p(i) = i + 2. Let v(q) be the second derivative of 2*q**3/3 + 9*q**2/2 + 9*q. Let z(u) = 18*p(u) - 4*v(u). Let f(w) = 3*w. Calculate f(z(o)). 6*o Let y(v) = 5*v. Let r(l) be the second derivative of 3*l**3 - 49*l + 3. Determine r(y(x)). 90*x Let o(r) = 1220 - 1220 - 3*r. Let p(k) = -29*k**2. Determine o(p(u)). 87*u**2 Let f(m) = -4*m**2 + 5. Let r(n) be the first derivative of -2*n**3/3 - 100. Calculate r(f(i)). -32*i**4 + 80*i**2 - 50 Let n(b) be the second derivative of 13*b**3/6 - 135*b. Let o(k) = -10*k**2. Calculate n(o(r)). -130*r**2 Let o(q) = 215802*q - 3. Let w(l) = l. What is w(o(d))? 215802*d - 3 Let o(q) = -2*q + 5. Suppose c - 2*c - 3 = 0. Let j(t) = -t + 3. Let z(a) = c*o(a) + 5*j(a). Let i(r) be the first derivative of -r**3 + 1. Give z(i(d)). -3*d**2 Suppose 0*t + 6 = l + 5*t, -3*t + 12 = 2*l. Let n(w) = -w**2 + 64*w - 113. Let k be n(62). Let j(a) = k*a + l*a - 15*a. Let g(q) = -5*q**2. What is j(g(i))? -10*i**2 Let x(b) = -252*b**2. Let f(c) = -1070*c**2. Calculate f(x(a)). -67949280*a**4 Let p(k) = -11*k - 1. Let v(r) = 16*r. Give v(p(z)). -176*z - 16 Let m(l) = 6868*l**2 + 5. Let t(h) = -h. Determine m(t(r)). 6868*r**2 + 5 Let s(p) = 64*p - 240. Let b(j) = -13*j + 45. Let n(l) = 16*b(l) + 3*s(l). Let y(d) = 0*d + 0*d - 2*d**2. Determine y(n(q)). -512*q**2 Let d(h) = 3*h. Let j(s) = 2*s. Let f(b) = -b + 9*b + 4*b. Suppose 5*q - 2*i + 20 = 0, 21 + 7 = -4*q + 4*i. Let g(w) = q*f(w) + 11*j(w). Give g(d(z)). -6*z Let k(m) = 26*m + 45. Let x(u) = -5*u**2. What is x(k(i))? -3380*i**2 - 11700*i - 10125 Let h(u) = -9311*u + 2. Let c(s) = -s. Calculate h(c(t)). 9311*t + 2 Let j(i) = 62*i**2 + 7*i. Let c(n) = 27*n**2 + 3*n. Let o(h) = 7*c(h) - 3*j(h). Let m(z) = -2*z**2 - 32. Calculate o(m(b)). 12*b**4 + 384*b**2 + 3072 Let n(f) = -4*f**2. Let t(i) = 29 - 47 + 21*i**2 + 18. Give n(t(u)). -1764*u**4 Let c(n) be the first derivative of n**4/8 + 7*n**2/2 - 17. Let a(g) be the second derivative of c(g). Let k(t) = -20*t**2. Give k(a(p)). -180*p**2 Let t(h) = -h**2. Let b(z) = 22*z - 3. Let u(p) be the second derivative of -23*p**3/6 + 2*p**2 + 15*p. Let n(l) = 4*b(l) + 3*u(l). Give t(n(k)). -361*k**2 Let w(q) = 132*q**2 + 23*q - 3. Let o(m) = 21*m**2. What is w(o(r))? 58212*r**4 + 483*r**2 - 3 Let k(s) = -41*s**2. Let c(r) be the first derivative of 3*r**2/2 + 235. What is k(c(o))? -369*o**2 Let f(l) be the first derivative of 153*l**2/2 - 176. Let m(y) = -4*y. Determine f(m(o)). -612*o Let y be (4 - 2)*(-21)/(-6). Suppose -2*q - 4 = k - 2*k, -k = q - y. Let g(j) = -4 + j**2 - 2 + k. Let p(c) = -4*c. Calculate g(p(i)). 16*i**2 Let n(i) = 4*i**2. Let f = 80 + -79. Let c(a) be the first derivative of 0*a + f - 1/3*a**3 + 0*a**2. What is c(n(h))? -16*h**4 Let a(o) = -o + 4. Let w(z) = 13*z + 1. Determine a(w(h)). -13*h + 3 Let d(g) = 3*g. Let s(a) = -3*a**2 - 15*a. Let x(l) = -4*l - 3. Let c(p) = p + 1. Let o(b) = -3*c(b) - x(b). Let h(u) = -30*o(u) - 2*s(u). Determine d(h(f)). 18*f**2 Let b(g) = 45*g**2. Let n(a) be the first derivative of a**2 + 433. Determine b(n(z)). 180*z**2 Let d(b) = -8*b**2 - 8. Let a(f) = 14*f**2 + 16*f + 8. Let j(x) = 19*x**2 + 22*x + 11. Let l(y) = 11*a(y) - 8*j(y). Give d(l(t)). -32*t**4 - 8 Let u(t) = t**2 + t**2 - 5*t**2. Let p(k) = k - 3. Let b(o) = -2. Let n be ((-1)/(-3))/((-8)/48). Let i(f) = n*p(f) + 3*b(f). Calculate u(i(a)). -12*a**2 Let f(d) = 111*d**2 + 2*d + 2. Let y(o) = -42292*o**2 - 763*o - 763. Let n(i) = -763*f(i) - 2*y(i). Let k(h) = -3*h. What is n(k(m))? -981*m**2 Let u(l) = -10*l**2 - 9*l + 9. Let k(h) = -2 - 6*h + h**2 + 7*h + 1 + 0*h. Let b(y) = -18*k(y) - 2*u(y). Let o(g) = -2*g - 2*g - g. What is o(b(m))? -10*m**2 Let i(y) = -25683*y**2. Let m(p) = 3*p. Determine i(m(j)). -231147*j**2 Let m(f) = 2*f**2. Let b(t) be the first derivative of -41*t**2 - 54. Calculate b(m(i)). -164*i**2 Let i(y) = -7*y. Let q(t) = 120*t**2 + 7*t + 10. Let l(n) = 39*n**2 + 2*n + 3. Let v(b) = -10*l(b) + 3*q(b). What is i(v(u))? 210*u**2 - 7*u Let p(t) = -14*t**2. Let f(o) = -1722*o. Give f(p(q)). 24108*q**2 Let b(i) = -38*i**2. Let h(f) be the first derivative of -2*f**2 + 29. Give h(b(z)). 152*z**2 Let g(h) = 4*h**2 - 2*h**2 - 3*h**2. Let k be -4 + 1 + -1 + 8. Let n(t) = 5*t + 9*t - k*t + 2*t. Calculate n(g(c)). -12*c**2 Let j(b) = b**2 + 52. Let o(m) be the third derivative of m**4/12 - 116*m**2. Calculate j(o(z)). 4*z**2 + 52 Let c(o) = 52*o. Suppose b - 3*k = 25, -5*k + 23 - 4 = 3*b. Let n(a) = -17*a. Let f(t) = b*n(t) + 4*c(t). Let q(g) = g**2. Calculate f(q(p)). -13*p**2 Let s(d) = 3*d + 5. Let v(z) be the third derivative of -z**4/6 - 2*z**3/3 - 11*z**2. Let o(i) = -4*s(i) - 5*v(i). Let u(g) = 3*g**2. Determine o(u(x)). 24*x**2 Let z(o) = -1303780*o**2. Let u(c) = -3*c**2. Calculate z(u(k)). -11734020*k**4 Let h(i) be the third derivative of -i**5/60 + i**2. Suppose 5*z + 3*r - 26 = 0, 10*z - 26 = 6*z - 5*r. Let j(p) = 3*p - z*p + p - 4*p. Calculate j(h(u)). 4*u**2 Let x(n) = -457 + 457 - n**2. Let c(l) = 6*l - l - 2*l + 2*l. Calculate x(c(j)). -25*j**2 Let c(a) = 3*a**2. Let t(i) be the second derivative of -11*i**3/3 - 103*i. Determine t(c(r)). -66*r**2 Let h(m) = 3*m**2. Let d(y) be the first derivative of -y**5/5 + 17*y**2/2 - 3. Let b(r) be the second derivative of d(r
{ "pile_set_name": "DM Mathematics" }
qrt(2) + sqrt(2) + (sqrt(72) - sqrt(2))))). -2*sqrt(11) + 1 Simplify ((sqrt(117)*1*6 + (sqrt(117) - (sqrt(117)*1*-3 - sqrt(117))))*1)/(6*(sqrt(441)*2 + -2*sqrt(81))). 11*sqrt(13)/48 Simplify ((sqrt(70) + sqrt(70)*-4)*3*-1*4)/(6*(sqrt(250) - sqrt(250)*-3)*-1). -3*sqrt(7)/10 Simplify 3 + (2 + 3*(sqrt(396) + 0)*-2 - (5*1*sqrt(396)*-3 + -5)). 10 + 54*sqrt(11) Simplify (4*-3*sqrt(6300)*-3)/(-4*(sqrt(1296) + (sqrt(1296) - (sqrt(1296) + (sqrt(1296)*-2 + sqrt(1296) - sqrt(1296)))) - sqrt(1296))*-5). 3*sqrt(7)/4 Simplify ((sqrt(11) - (sqrt(11) + -1 + sqrt(11))*6) + (-1*sqrt(44))**2)*-1 - 5*-2*(sqrt(11) - ((0 + sqrt(11) + sqrt(44))**2 + sqrt(11))). -1040 + 11*sqrt(11) Simplify ((-1 + sqrt(2) + sqrt(8)/sqrt(4) + sqrt(2) + 5 + 4 - (sqrt(10) + sqrt(160)*2)/(5*(sqrt(5)*1 + sqrt(5))))*-2)**2. 672*sqrt(2)/5 + 7282/25 Simplify -4 + ((-1*(sqrt(3136)*1 + sqrt(3136))*-2)/(6*(1*sqrt(847) + sqrt(847))*-2))**2. -4244/1089 Simplify -2*(2*sqrt(72) + -2) - (sqrt(288) - (sqrt(288) + 4 + 5))**2*5. -401 - 24*sqrt(2) Simplify -4*(-5 + -2*(4*sqrt(112)*-3 + sqrt(112) + 0 + sqrt(112) + 0)*-3). 20 + 960*sqrt(7) Simplify ((4 + sqrt(12)/sqrt(4))*-5)**2 + (sqrt(3) + 0 + -1 - (sqrt(27) + -3)) - (sqrt(192) + (1 + sqrt(192))*4 + sqrt(192)*-1 + 1)**2*5. -15008 - 1402*sqrt(3) Simplify ((sqrt(16) + sqrt(144))/sqrt(8) - sqrt(4)/(2*sqrt(2) - sqrt(2)) - -6*2*-3*sqrt(200))**2. 254898 Simplify ((-4*((1*sqrt(72) - sqrt(72) - sqrt(72)) + sqrt(72) - sqrt(72)))/sqrt(4)*1)/((sqrt(225) + 4*1*sqrt(225))*2). 2*sqrt(2)/25 Simplify ((4 + 5 + (sqrt(1008) - (sqrt(1008) - (1 + sqrt(1008)) - sqrt(1008)))**2)*6 + (sqrt(1008) + 2)*-3*1 + 1)*6. 1512*sqrt(7) + 145482 Simplify -6*(5 + (sqrt(100)/(sqrt(10) + sqrt(490)))/(sqrt(40)/sqrt(72))). -30 - 9*sqrt(2)/4 Simplify (6*(-4 + sqrt(162) + -2 - sqrt(162) - (sqrt(162) - -4*(sqrt(162) + -1) - sqrt(162))) + 3)**2 + -3. 3888*sqrt(2) + 93390 Simplify (4 + 1 + sqrt(98)*-2*-2 + (sqrt(3200)*-1 + -3 - (5 + sqrt(3200)*1)))**2. 312*sqrt(2) + 5417 Simplify (-4 + (sqrt(539) - (3 + (1 + sqrt(539) - sqrt(539)))) + 4 + 4 + sqrt(539) + 1)**2*-4. -8628 - 112*sqrt(11) Simplify ((sqrt(44)/sqrt(4))**2*-6 - (sqrt(77)*-2)/sqrt(7)) + -3 + (sqrt(55)*1)/sqrt(5) + 4 + -5. -70 + 3*sqrt(11) Simplify (3*(sqrt(171)*-2 + sqrt(171)))**2 + -1 + (1*sqrt(152))/(sqrt(8)/sqrt(16)). 4*sqrt(19) + 1538 Simplify (4*(sqrt(288)*-2*3 - sqrt(288))/sqrt(12))/(((2*sqrt(72)*-6 - sqrt(72)) + sqrt(72))/(sqrt(486) + sqrt(486)*-1 + sqrt(486))). 21*sqrt(2) Simplify (-1*2*sqrt(486)*-6)/((sqrt(98) - 5*(sqrt(98) + 1*sqrt(98)) - sqrt(98) - sqrt(98))*-3). 36*sqrt(3)/77 Simplify -3*(3*(4*(-1 + sqrt(847) + 1)*-1 + 0))**2. -365904 Simplify ((sqrt(156) - (sqrt(156) + -1*sqrt(156) - sqrt(156) - sqrt(156))*1)/(sqrt(8)/sqrt(2)*1))/(-6*1*-6*(sqrt(3) + (sqrt(3) - sqrt(12)/sqrt(4)) + sqrt(3))). sqrt(13)/24 Simplify (-4*(sqrt(2736) + 0 - sqrt(2736)) + -1 + sqrt(2736) + 3 + 2 + (1*sqrt(228))/sqrt(12)*1)**2*3*2. 624*sqrt(19) + 19362 Simplify ((sqrt(4212) + 1 + 4 - (sqrt(4212) - (sqrt(4212) - (0 + sqrt(4212) + -1))) - (sqrt(4212) + 0)*-6*-5)**2 + 3)*-6*6. -136470204 + 233280*sqrt(13) Simplify 3*(-5 + 1*(sqrt(2057) - sqrt(2057)*-2) + -3*sqrt(2057)*-3 + 5)**2*2. 1777248 Simplify (6*(-3 + -2 + (sqrt(294) + (sqrt(294) - -1*sqrt(294)))/((1*sqrt(27))/sqrt(9)) + -1))**2. -9072*sqrt(2) + 33048 Simplify -6*(-1 + 5 + (sqrt(192) - -2*sqrt(192))**2 + -2 + -5) + -3 + 4. -10349 Simplify -4*((2*sqrt(80)*6 + sqrt(80))/sqrt(10))**2 - (3 + ((sqrt(22) + sqrt(88)/sqrt(4))/sqrt(11) - 5*sqrt(8))**2)*-2. -5146 Simplify (-5 + sqrt(832) + -2)*-3 + ((sqrt(52)*-2 + sqrt(52) - sqrt(52))*-5)/(3*sqrt(16)). -67*sqrt(13)/3 + 21 Simplify (-1 + -3 + sqrt(17) - sqrt(68)/(sqrt(4)*-3)) + (5*(-2 + (sqrt(17) - ((sqrt(2057) - 2*sqrt(2057)) + sqrt(2057)))))**2 + -5. -296*sqrt(17)/3 + 516 Simplify -6*(((-5*sqrt(34))/sqrt(2) + 0 - (sqrt(2057)*-1 - sqrt(17) - (sqrt(17) - (2 + sqrt(17) + -1)))) + 4)**2. -5052 - 252*sqrt(17) Simplify (-2 + (5*-6*sqrt(448))/(-2*(sqrt(32)/(sqrt(16)/sqrt(2)) + sqrt(4)))*-2)**2. 240*sqrt(7) + 25204 Simplify ((4*-2*sqrt(264))/(sqrt(77)/sqrt(112)))/((4*sqrt(88)*2)/sqrt(11)*-4). sqrt(3) Simplify 1 + (1 + sqrt(343)*1 + -5 - -4*((sqrt(49)*-1)/sqrt(7) - (3 + sqrt(21)/sqrt(3) + sqrt(7))))**2. 160*sqrt(7) + 432 Simplify 3*(3 + sqrt(3))*-2*-2 - sqrt(216)/(sqrt(8) + sqrt(200) + sqrt(8))*-6. 102*sqrt(3)/7 + 36 Simplify (2*3*sqrt(192)*-4 + (sqrt(192) + 1 + 3*sqrt(192) - sqrt(192) - (sqrt(192) + (sqrt(192) - -1*sqrt(192)))*6))**2*6. -3744*sqrt(3) + 1752198 Simplify -4 + (sqrt(209)/((sqrt(132)*-5)/sqrt(12)) - (((sqrt(133) + sqrt(133) + 3*sqrt(133) + sqrt(133))*3)/sqrt(7))**2)*-1. sqrt(19)/5 + 6152 Simplify (3*((2 + sqrt(448))*2 - (sqrt(448) - (sqrt(448) + 2 - sqrt(448))*1) - (-1*sqrt(448) + sqrt(448) + -1 + -3)))**2. 1440*sqrt(7) + 4932 Simplify (sqrt(2112)*-1*-1 + 3*(sqrt(2112) - 2*sqrt(2112)))/(3*(sqrt(44)/(sqrt(8)/sqrt(2)) - sqrt(176)*-5)). -16*sqrt(3)/63 Simplify (((sqrt(3) + -4)*-2 - ((sqrt(3) - (2 + sqrt(75))) + sqrt(3))) + 1*sqrt(3)*-1*-4*1)**2. 100*sqrt(3) + 175 Simplify (-4*-6*3*(-5*2*sqrt(180) + 1 + -1 + sqrt(180)))**2. 75582720 Simplify (5*((sqrt(7) - sqrt(7)*1)**2 + sqrt(7)) - sqrt(63)*-2) + -5 - (((sqrt(14)/sqrt(2) + sqrt(7) + 0)**2 - (sqrt(14)/sqrt(2) - sqrt(7))*6) + 3). -36 + 11*sqrt(7) Simplify (-5 + 5 + sqrt(153) + -3 - (1 + (sqrt(68)*3)/sqrt(4))*-1)**2. -24*sqrt(17) + 616 Simplify 3*(-2 + ((sqrt(2299) + 2 - sqrt(2299)) + sqrt(2299) + 4)**2 + -3)*1 + -4. 396*sqrt(19) + 6986 Simplify (-3*(sqrt(78) - 5*sqrt(78)*2)*-3)/((sqrt(3456) - (sqrt(3456) - sqrt(3456)*-2 - sqrt(3456)))/((sqrt(9) - (sqrt(9) + sqrt(36)/sqrt(4)))*1)). -81*sqrt(13)/8 Simplify -3*(3 + sqrt(171) + 1)**2 + 0 + ((sqrt(209) + sqrt(209)*-1 + sqrt(209))*3)/(-2*(sqrt(22)/sqrt(2) + sqrt(11))) + 0. -561 - 291*sqrt(19)/4 Simplify ((-1*(sqrt(180) - (sqrt(180) - (2 + sqrt(180))))*2 - ((sqrt(245) - (sqrt(245) + 0) - sqrt(245)) + (sqrt(5) - sqrt(25)/sqrt(5)) + 2))*3)**2. 540*sqrt(5) + 1449 Simplify (sqrt(252) + 0 + 3 - (-6*(sqrt(567) + 0 + sqrt(567)) + sqrt(567))**2) + (4 + sqrt(448)*-2 + -2)**2 + 0. -66808 - 58*sqrt(7) Simplify -5 + 2 + -3 + sqrt(175) + -2 + sqrt(175) + (sqrt(175)*1 + 1)**2 + -4. 20*sqrt(7) + 164 Simplify (sqrt(18) + (sqrt(72) - sqrt(72)*-4) + sqrt(18) - (sqrt(144)/sqrt(8) + sqrt(18))*-5)/((1*sqrt(384)*3 + sqrt(384))*-4). -11*sqrt(3)/64 Simplify -3 + ((-3*sqrt(30)*-1)/(sqrt(72)/sqrt(3) + sqrt(6)) - (((sqrt(320) + 1*sqrt(320) - sqrt(320)) + 0)*-5)**2). -8003 + sqrt(5) Simplify (((-5*sqrt(70)/sqrt(2) - sqrt(35))*-3)/(sqrt(21)/(sqrt(27)*-3 - sqrt(3) - sqrt(3))) + -5)*1. -198*sqrt(5) - 5 Simplify (3*(-1 + (6*-4*sqrt(162) - (sqrt(162) + -6*sqrt(162)*-4))))**2. 7938*sqrt(2) + 3500667 Simplify -5*(1*(sqrt(171)*-2 + -4) + (1 + 6*(sqrt(171) + sqrt(171)*3))**2). -492465 - 690*sqrt(19) Simplify ((3 + -2*sqrt(13) + sqrt(13) - sqrt(13)) + -5*sqrt(52) - (sqrt(208) + -1 + 1 + 1*sqrt(208)*5)) + -4. -36*sqrt(13) - 1 Simplify -4 + (sqrt(10)*2*-3 - sqrt(10) - (sqrt(160) - 2*sqrt(160)))/(-4*(sqrt(5) + ((sqrt(5) - sqrt(45))*1 + sqrt(5) - sqrt(5)))) + -2. -6 - 3*sqrt(2)/4 Simplify ((sqrt(40) + (sqrt(200)*1)/sqrt(5))/(sqrt(8) - sqrt(72)/sqrt(144)) - (sqrt(300)/(sqrt(30)/sqrt(3)))/sqrt(6)*-4) + 2 + -2. 20*sqrt(5)/3 Simplify (1*(sqrt(19) + sqrt(304)) - sqrt(19) - (sqrt(2736)*-4 - sqrt(19)) - ((sqrt(931) - (1*sqrt(931) + -4)) + (sqrt(931)*-2 + sqrt(931))*5))**2. -704*sqrt(19) + 147152 Simplify (2*(-1*sqrt(78) + sqrt(78)) - (sqrt(78) - -2*sqrt(78))*-3)/(-3*sqrt(72)/sqrt(768)). -24*sqrt(13) Simplify (-5*sqrt(84)*2 - sqrt(84))/sqrt(12)*6 - ((sqrt(343) - (3 + (sqrt(343) + 2 - sqrt(343)) + sqrt(343)))**2 + 4). -66*sqrt(7) - 29 Simplify (-4 + ((1*sqrt(300))**2 - (sqrt(192) + sqrt(192) + 2)) + 5)*5*-2. -2990 + 160*sqrt(3) Simplify (1*sqrt(90)*-2)/(sqrt(288) + 2*sqrt(288)) - ((-2*sqrt(4500) + sqrt(4500))*2)**2*-1. -sqrt(5)/6 + 18000 Simplify -2 + (2*(-3*(sqrt(64) + sqrt(64) + sqrt(64)*-2 + sqrt(64)) - 2*sqrt(64)*-3))/(3*1*sqrt(288)*-2). -2 - sqrt(2)/3 Simplify (((5*sqrt(2420) - sqrt(20))/(sqrt(28)/(3*sqrt(7))) + 0)*3)**2. 1180980 Simplify ((sqrt(44)/(sqrt(4) + sqrt(12)/sqrt(3)) + 4)*-2 + sqrt(396) + -1 + 5 + -5 + -1)**2. -100*sqrt(11) + 375 Simplify (sqrt(495) + 3*2*sqrt(495))/(sqrt(176)/sqrt(4)) - (2*(sqrt(125) + 0 + sqrt(125)) - -4*(1 + sqrt(15)/sqrt(3)))**2. -2896 - 363*sqrt(5)/2 Simplify ((-2*-2*sqrt
{ "pile_set_name": "DM Mathematics" }
3 - 33. Solve -q*u = 3 + o for u. -2 Let b(q) = q + 14. Let s be b(-11). Let x be 0 - (-3 + 15/s). Let k = x - -4. Solve 3*w + k*w - 5 = 0 for w. 1 Suppose 5*s - 3 = 2. Let a(u) = 2*u - 2. Let b be a(-1). Let l be s/(2/b) + 5. Solve -w - l*w = 0 for w. 0 Suppose 93 + 3 = -3*y. Let x be 2/16 - 156/y. Solve 4 = -x*z + 24 for z. 4 Let s(d) = -5*d - 3. Let g be s(-1). Let y be 28*(1 - 1/g). Solve 0 = -5*k - 6 - y for k. -4 Let r(b) = -b**3 - 18*b**2 + 67*b + 86. Let t be r(-21). Solve t*m = -20*m for m. 0 Suppose 5*h + 10 = 3*h - 3*j, -3*j = h + 2. Let g be -1*(-4 - h)*-1. Solve 6 = -g*x - 14 for x. -5 Let q(j) = j**3 - 3*j**2 - 18*j + 2. Let c be q(6). Suppose -4*v - 6 = -2*v, -2*n + 13 = -3*v. Solve -n*z = c*z - 16 for z. 4 Let m = 30 - 24. Let d(g) = g**3 - 7*g**2 + 4*g + 14. Let i be d(m). Solve 4*a - i = -6 for a. -1 Suppose -2*n = 3*g - 289, 0 = 3*n - g - 407 - 43. Suppose 5*r = -5*m + 105, -r - n + 32 = -5*m. Solve -5*z + m = -2 for z. 5 Suppose -7*g + 14 = -21. Solve -62*i = -67*i - g for i. -1 Suppose -2*s = 6*q - 5*q - 20, 3*s + 3*q = 33. Let c be (8/(-2))/((-4)/2). Solve 0 = l + c*l + s for l. -3 Let m = 4 + 0. Let d(a) = -a**2 - 5*a - 1. Let x be d(-2). Let z be 5/(3/18*x). Solve 6*h = m*h + z for h. 3 Let n(a) be the second derivative of 2*a**3/3 + a**2/2 + 7*a. Let z be n(-5). Let g = 29 + z. Solve 3*d = -g - 5 for d. -5 Let h be ((-3)/6)/((-5)/30). Suppose 62 = 4*a - 22. Solve a = -h*l + 6 for l. -5 Let v = 152 - 152. Solve v = 11*p - 17*p + 6 for p. 1 Suppose -2*x - 6 = 0, -x + 7 = -6*n + 8*n. Solve 24 = n*l + 4 for l. 4 Let z = -31 + 31. Suppose -3*p + 2*s - 18 = -7*p, z = -4*p - s + 15. Solve 4*h - p = h for h. 1 Let z(l) = -l**2 - 14*l + 31. Let k be z(-14). Let v = k + -27. Solve 2 = -s + v for s. 2 Let r = 459 + -458. Solve r = 2*f + 5 for f. -2 Let i(r) = r**2 + 38*r + 186. Let g be i(-33). Solve 20 = -g*z + 17*z for z. -5 Let v = 216 + -214. Solve v = -0*u - u for u. -2 Suppose 3*q - n + 88 = 6*q, 5*q + 5*n - 140 = 0. Solve -q = -9*f + 3*f for f. 5 Suppose -24*t = t - 0*t. Solve -p - 55 + 53 = t for p. -2 Let l = 10 + -7. Let n = -106 + 130. Suppose -n = -9*c + 30. Solve -l*m + 0 = -c for m. 2 Let u be (-158)/(-24)*4 - 4/(-6). Solve -7 = 4*j - u for j. 5 Let r = 5 + -3. Suppose 161*c - 212 - 271 = 0. Solve -3*v + r*v = c for v. -3 Let b be 3/((-3)/6 - -2). Let u(d) = d**3 - 5*d**2 + 5*d. Let x be u(4). Let k be (6/(-9))/(x/(-6)). Solve -b = j + k for j. -3 Let y = -9 - -12. Let k(q) = q**2 + 8*q + 14. Let h be k(-6). Suppose -3*f = 4*z - 27, -2*f + h*z + 0*z = -4. Solve f*u + y = -2 for u. -1 Let z(k) = -k**2 - 31*k + 102. Let u be z(-34). Solve 0 = -5*n - u*n + 25 for n. 5 Suppose -32 = -4*u + 4*o, u + 3*o = 2*o + 4. Solve 0 = 5*w - 3*w - u for w. 3 Let u = -38 - -4. Let s = u - -39. Solve s*m = -18 + 43 for m. 5 Suppose -1786 = -79*z + 60*z. Solve -z = -3*d - 88 for d. 2 Let n(d) = -d**3. Let v be n(-1). Let f be -3 - (v - 1)/(-1). Let t be 2/4*(11 + f). Solve -h = t*h for h. 0 Suppose -2*t - 2 = -5*c, -2*t = -2*c - 0*t - 4. Suppose a - 37 = -3*o, 2*a + 2*a - 16 = -o. Suppose 5*k - k - o = 0. Solve c*b + k*b = -25 for b. -5 Let b(j) = 7*j + 19. Let v(t) = -4*t - 10. Let f(r) = 3*b(r) + 5*v(r). Let d be f(-4). Solve d*w - 4*w + 1 = 0 for w. 1 Let o(m) = -m - 8. Let a(p) = p + 8. Let u(t) = -4*a(t) - 5*o(t). Let h be u(-4). Solve -7 = -w - h for w. 3 Let z = 36 + -21. Suppose 24 = z*k - 7*k. Solve -4*t + 5 = -k for t. 2 Let l be (-1 - -18) + 0/6. Let i = l - 6. Let b = i + -8. Solve 4*v - b*v = -2 for v. -2 Suppose 0 = 26*l - 36*l. Solve l = 3*k + 7 - 13 for k. 2 Let f(n) = 4*n**2 + 4*n + 2. Let o = -3 - -13. Suppose -2*y = i - 2, 4*i + y + o = 2*y. Let b be f(i). Solve 3*g + 2*g = b for g. 2 Let b(p) = p**2 + 4*p - 36. Let s be b(-10). Solve -s*k = -37*k + 52 for k. 4 Suppose 5*p = 3*v + 3, -6*p - 5*v = -3*p + 5. Suppose 0 = -14*i - p*i + 378. Solve -5*w + i - 2 = 0 for w. 5 Suppose 0 = -12*g + 59 + 85. Solve 0 = i - 7*i - g for i. -2 Let f be (0 + 1)*(-1 - -1)/1. Suppose -s - 2*s + 5*y = f, 2*s = -3*y. Solve -i + 0*i + 5 = s for i. 5 Suppose -a + 4*a - 108 = 0. Let g be ((-9)/a)/(2/(-8)). Solve -n - 6 + g = 0 for n. -5 Let n be ((-21)/9)/((-21)/54). Solve -n*s - 8*s = 42 for s. -3 Suppose -3*z = -t + z - 8, -8 = -5*t - 4*z. Solve 0 = -11*m - t*m - 12*m for m. 0 Suppose 0 = 5*w - 25, 2*q - 4 = -4*w + 22. Solve q*m = 7 - 4 for m. 1 Let s be (-2 + 11/7)/((-59)/413). Solve -4 = -s*t - 7 for t. -1 Let c(j) = -j + 10. Let a(z) = z - 9. Let s(t) = 3*a(t) + 4*c(t). Suppose 0 = 5*h - 4*l - 75, h = -h + 4*l + 42. Let x be s(h). Solve -x*q = -q - 3 for q. 3 Let t(b) = 4 - 5*b**3 - 2*b**2 + 49*b + 4*b**3 - 49*b. Let w be t(0). Solve w*p + 0*p = 0 for p. 0 Suppose -2*t + 6*t - 16 = 0. Suppose 0 = c - 7 + 1. Let l(u) = u**3 - 5*u**2 - 6*u + 6. Let k be l(c). Solve t*y = y - k for y. -2 Suppose -4*h = -5 + 1. Let q(a) = 12*a**2 - 2*a + 1. Let r be q(h). Suppose -4*x = -5 - r. Solve 5 = j + x*j for j. 1 Let t be (-1 - 1)*(-42)/12. Let u = -7 + t. Suppose u = p + 4*p - 10. Solve 2 = -p*r - 8 for r. -5 Let w(x) = -5*x + 17. Let b be w(8). Let m = -20 - b. Let y = m + -3. Solve y = c + 2 - 5 for c. 3 Let j = -10 - -22. Let h be (j/8)/(6/16). Let k = -5806 - -5811. Solve 11 + h = -k*l for l. -3 Let i(o) = o**3 + 17*o**2 + 50*o - 25. Let p be i(-13). Suppose 2*u + 38 = -2*y, 3*u = 2*u + 4*y + 1. Let r be (-69)/u - (-2)/5. Solve 2*l - p = r for l. 3 Suppose -v - 2 = -4*l + 1, -6 = l + 2*v. Suppose l = -4*c + 22 - 2. Suppose -j + 52 = 3*j. Solve 3 - j = -c*u for u. 2 Suppose -148 = -4*c - 4*g, -c - 4*g + 8*g + 27 = 0. Solve -c*l + 8 = -33*l for l. 4 Suppose j = 2*l + 3, 5*j = 4*j + l + 8. Solve -5 = j*o - 12*o for o. -5 Suppose -c + t + 20 = 4*c, -c = 4*t - 4. Solve g - c + 8 = 0 for g. -4 Suppose -4*g + 2*c + 28 = -2*c, -4*g = 5*c + 17. Let j = -30 - -45. Suppose 20*v = j*v + 40. Solve -g*a - 2*a + v = 0 for a. 2 Suppose 8*u - 12*u = -4. Let a(i) = 16*i - 10. Let r be a(u). Solve 8*w + 2 = r*w for w. -1 Suppose 5*t = 8 + 7, t + 192 = 5*x. Let p = 39 - x. Solve 0 = m - p*m for m. 0 Let j(v) = -5*v + 102. Let r be j(18). Solve -r*c = -11*c + 1 for c. -1 Suppose 174 + 222 = 12*l. Solve 5*w + 8 = l for w. 5 Let s(v) be the first derivative of 3*v**2/2 + 3. Let m be s(1). Suppose -2*p + 3 = -m. Solve -2*a - p = -a for a. -3 Let s = -5 + 8. Suppose -l - 3*k = 3, 0 = -2*l + 4*k + 8 - 4. Suppose 0*c = c + 3, -2*v - 5*c - 5 = l. Solve v*u + s = -2 for u. -1 Let y(u) = -5*u**2 + u + 3. Let o be y(0). Solve 2*j = o*j + 1 for j. -1 Let p(u) = -u + 48. Let d be p(0). Suppose 0 = 3*m + a - 24, 5*m - 2*a - 40 = 2*a. Let n be (-36)/d - (-6)/m. Solve -r - 2 - 2 = n for r. -4 Let v be (-31)/(-3) + 4/6. Let h = v + -8. Suppose -4*w - 10 + 51 = -h*q, -2*q - 14 = -w. Solve c = -c - w for c. -4 Let o = -53 + 92. Let l = o - 37. Solve 0 = 5*a - l*a + 15 for a. -5 Let h = -40 + 22. Let q = h + 22. Solve 0 = 2*d - 6*d - q for d. -1 Suppose -15 = -4*o + 13. Let w be (-4)/10 + 1254/110. Suppose -m - j = -6*m + w, 4*m - j = 9. Solve m = 5*t + o for t. -1 Let r(u) = -u + 30. Let l be r(25). Solve -6*c - l = -11*c for c. 1 Let a be 14/(-7) + 10/2. Let w be (0/6)/(-1 - -2). Suppose w = -g + a*g - 16. Solve l + l = -g for l. -4 Let i(x) = -x + 15. Let k be i(12). Let w be -4 + k - -6 - 2. Let n(a) = a**3 - 3*a**2 + 4. Let r be n(w). Solve 6*d - 2*d = -r for d. -1 Let h be (-266)/(-399)*((0 - 0) + 12). Solve -h*p = -33 + 1 for p. 4 Let f(c) = c**2 - 2*c - 5. Let h be f(6). Solve -7 + h = 3*g for g. 4 Let u = 191 + -185. Solve u*j + 1 = 7*j for j. 1 Let s = 16 - 7. Suppose -s*n - 11*n = 0. Let r(b) = -b - 4. Let l be r(-6). Solve 7*k - l*k + 15 = n for k. -3 Let o be (2/6*-3)/((-3)/21). Let z(y) = -2*y**2 + 6*y - 5. Let f be z(4). Let x = o - f. Solve 0 = -3*g + x - 5 for g. 5 Let s(b) = b**3 + 4*b**2 - b - 1. Let o be s(-4). Suppose -2*g - 4 = o*r - 24, g - 16 = -3*r. Solve 0 = -5*n - g - 21 for n. -5 Let q(k) = -k**3 - 4*k**2 + 23*k + 8. Let o be q(-7). Let l be o/5*(-10)/6. Solve l*r + 2 = -2 for r. -2 Let n be 10 - (20/(4/1) + -2). Let u(p) be the first derivative of -p**3/3 + 7*p**2/2 + 2*p - 1. Let v be u(n). Solve 4 = v*d - 6 for d. 5 Let m = 8 - 2. Let d(t) = t + 12. Let y be d(-8). Suppose -y*h = -2*h. Solve -2*s - s + m = h for s. 2 Let p be (48 + 6)*4/6. Let j =
{ "pile_set_name": "DM Mathematics" }
7*o**2 - 4*o + 9. Let q(k) = 3*k**3 - 4*k**2 + 2*k - 5. What is u*b(c) - 7*q(c)? 3*c**3 + 2*c - 1 Let l(t) = -9*t**2 + 61*t + 1. Let q(g) = 7*g**2 - 65*g. Give -4*l(s) - 5*q(s). s**2 + 81*s - 4 Let c(i) = -2*i - 52. Let g(f) be the second derivative of -f**3/6 - 35*f**2/2 - 19*f - 37. Give -5*c(b) + 8*g(b). 2*b - 20 Let y = -12853 + 12856. Let s = 14 + -6. Let u(g) = 11*g**2 + g + 0*g + 8*g + 14. Let m(j) = -4*j**2 - 3*j - 5. Determine s*m(h) + y*u(h). h**2 + 3*h + 2 Let b(z) = -2400*z - 30. Let i(y) = -15851999*y - 198165. What is 26422*b(w) - 4*i(w)? -4804*w Let o(j) be the second derivative of j**3/2 + 5*j**2/2 - 9346*j. Let i(x) = 6 - 4 + 0 - 1. Give 5*i(n) - o(n). -3*n Let c be 12/((-16)/144 - 51/27). Let n(u) = 13*u**2. Let s(z) = 78*z**2. What is c*s(b) + 34*n(b)? -26*b**2 Let t(x) = x + 2. Suppose 2518 = -3*s + 505. Let r = s + 670. Let m(p) = -1. Give r*t(y) - 2*m(y). -y Let d(u) = -2 + 2 + u - 12 + 9 + 2. Let c(b) = 2*b**3 - 7*b + 5. What is -c(y) - 4*d(y)? -2*y**3 + 3*y - 1 Let s(a) = a + 1. Let r be 5/115 + (-888)/851. Let q(z) = -2*z + 6. Calculate r*q(w) + 5*s(w). 7*w - 1 Let x(i) = -8*i + 9. Let d(s) = -7*s + 14. Let p(a) = 7*a - 13. Let g(y) = 5*d(y) + 6*p(y). Suppose -68 = 20*n + 74 - 22. Determine n*x(u) - 7*g(u). -u + 2 Let p(v) = -7*v**3 - v**2 + 30*v + 156. Let h(i) = -4*i**3 + 15*i + 83. Calculate -5*h(k) + 3*p(k). -k**3 - 3*k**2 + 15*k + 53 Suppose 0 = -i - 17 + 7. Let d(t) = 3*t. Suppose 0 = -132*g + 121*g + 11. Let m(j) = 64*j - 1 - 39*j - 31*j + g. What is i*d(z) - 4*m(z)? -6*z Let b(h) = -7*h**2 + 22*h + 7. Let p(g) = -8*g**2 + 29*g + 7. Let z(f) = 4*b(f) - 3*p(f). Let y(t) = 5*t**2 - 2*t - 6. What is -3*y(v) - 4*z(v)? v**2 + 2*v - 10 Let m(d) = -507*d + 19. Let o(p) = -247*p + 10. Give -6*m(x) + 11*o(x). 325*x - 4 Let v(y) = 117. Let s(o) = -o + 32. Determine -3*s(l) + v(l). 3*l + 21 Let o(b) = -2*b**3 + 28*b**2 - 4. Let s(p) = -p**2 - 192*p - 571. Let h be s(-3). Let l(k) = k**3 - k**2 + 1. Calculate h*l(c) - o(c). -2*c**3 - 24*c**2 Let v(m) = m**3 + 62*m**2 + 4*m - 2. Let z(o) = o - 1. Calculate v(i) - 4*z(i). i**3 + 62*i**2 + 2 Let k(l) = 1980*l + 121. Let w(h) = -25*h + 13 - 2 - 6 - 7 - 8*h. Determine 2*k(t) + 121*w(t). -33*t Suppose -2*o + 33 - 93 = 5*w, -3*w + 3*o = 36. Let m(h) = 8*h - 12. Let b(k) = 1. Give w*b(p) - m(p). -8*p Let n(z) = 6*z**2 - 2*z + 2. Suppose -12*k + 5*k = -1715. Suppose 4*x = -k + 233. Let j(a) = -6*a**2 + 2*a - 3. Give x*n(h) - 2*j(h). -6*h**2 + 2*h Let q(b) = 2*b**3 - 2*b**2 - b. Let i(y) = 61870*y**3 - 59180*y**2 - 29590*y. Determine -6*i(g) + 177540*q(g). -16140*g**3 Let i(c) = -37*c**2 + 3. Let r(s) = 75*s**2 - 5. Let u be (-143)/14 + 4 + (-530)/140. Give u*i(m) - 6*r(m). -80*m**2 Let p(c) = -2*c**2 + c + 1. Let z(b) = 2*b**3 - 460*b - 1. Determine -p(f) - z(f). -2*f**3 + 2*f**2 + 459*f Suppose 42*j - 45*j = -2*p - 11, -19*j = p + 26. Let m(v) = v**3 + v**2 + v. Let a(h) = h**3 + 6*h**2 + 2*h. Calculate j*a(d) + 3*m(d). 2*d**3 - 3*d**2 + d Let b(o) = -719*o + 16. Let d(r) = 7912*r - 172. Calculate 43*b(h) + 4*d(h). 731*h Let p(b) = -5452*b**2 - 799*b + 799. Let n(a) = 41*a**2 + 6*a - 6. Let k be 141 - 134 - (0 + 1). Determine k*p(s) + 799*n(s). 47*s**2 Let m(g) = 78*g + 95. Let o(k) = 2*k + 18. Give m(q) - 5*o(q). 68*q + 5 Let n(b) = -632*b + 42. Let f(o) = 158*o - 11. Calculate -11*f(p) - 3*n(p). 158*p - 5 Let d(c) = -17*c**3 - 17*c**2 + 6*c + 7. Let u(l) = -21*l**3 - 18*l**2 + 7*l + 8. Determine -6*d(m) + 5*u(m). -3*m**3 + 12*m**2 - m - 2 Let j(n) = -8*n + 19. Let p(h) = -28*h + 37. Determine -5*j(y) + 2*p(y). -16*y - 21 Let v be (-80)/24*(-99)/15. Suppose 5*i - 17 = v*i. Let n(w) = 4*w - 3. Suppose 2*b - l = 3*b - 10, 5*b + 2*l - 35 = 0. Let p(x) = x - 1. Give b*p(q) + i*n(q). q - 2 Let i(f) = -14*f**3 + 74*f**2 - 12*f. Let q(y) = -10*y**3 + 49*y**2 - 8*y. What is -7*i(h) + 11*q(h)? -12*h**3 + 21*h**2 - 4*h Let i(a) = a**2 - 2*a - 4. Let p(o) = 3*o**2 - 12*o + 1036. Give 5*i(t) - p(t). 2*t**2 + 2*t - 1056 Let h(s) = 1715*s**3 + 11*s**2 - 64*s + 11. Let b(n) = 428*n**3 + 3*n**2 - 17*n + 3. Calculate -11*b(z) + 3*h(z). 437*z**3 - 5*z Let y(h) = 17*h**3 + h**2 - 81*h - 39. Let o(i) = -8*i**3 + 40*i + 18. Calculate 13*o(p) + 6*y(p). -2*p**3 + 6*p**2 + 34*p Let g(h) = 31*h**2 - 15*h + 1031. Let o(r) = -4*r**2 + 2*r - 2. Calculate g(u) + 8*o(u). -u**2 + u + 1015 Let z(j) = -6*j**3 - 376*j**2 + 2*j - 3. Let a(k) = 17*k**3 + 1131*k**2 - 5*k + 8. Give 3*a(o) + 8*z(o). 3*o**3 + 385*o**2 + o Let i be (-5 + 2 + 4)/((-99)/99). Let s(b) = 7*b**2 - b - 2. Let p(y) = y**2 + 1. Calculate i*s(g) + 4*p(g). -3*g**2 + g + 6 Let y(r) = -3*r + 2 + 3 + 0. Let x(c) = -c**2 + 5*c - 9. Let o = 10 - 7. Suppose 5*p - o*i = -28, -5*i + 6 = -2*p - 9. Give p*y(g) - 3*x(g). 3*g**2 + 2 Let l(p) = p - 4. Let z(g) = -386*g - 15. Calculate -3*l(d) + z(d). -389*d - 3 Let o(u) = -4*u**3 - 2*u**2 - 3*u - 1. Let d(q) = 3336*q**3 - 4*q**2 - 6*q - 1. What is d(j) - 2*o(j)? 3344*j**3 + 1 Let a(h) = -7*h**2 + 2*h - 6. Let v = -2 - -9. Let x(m) = -7 + 16573772*m**2 + 2*m - 33147549*m**2 + 16573769*m**2. Give v*a(k) - 6*x(k). -k**2 + 2*k Let t(h) = -18317*h**3 - 5*h**2 + 10*h. Let l(q) = -7189422*q**3 - 1962*q**2 + 3924*q. Give -5*l(g) + 1962*t(g). 9156*g**3 Suppose 0 = 2*p + z, -28*z + 27*z = -4*p + 12. Let h(o) = o**2 - o. Let k(r) = -6*r**2 + 4*r. Determine p*h(u) + k(u). -4*u**2 + 2*u Let l(x) be the first derivative of 9*x**2/2 + 21*x - 1. Let m(p) = -48*p + 1067. Let i be m(22). Let u(y) = 5*y + 11. What is i*u(q) - 6*l(q)? q - 5 Let b(p) = 27*p**3 + 4*p**2. Let q(k) = -27*k**3 - 5*k**2. Suppose -18*j + 140998 = 140908. What is j*b(y) + 4*q(y)? 27*y**3 Let g be (-3)/9 - 1128/(-9). Let n = g - 124. Let f(c) = -n + 4*c - 4*c**3 + 12 - 3*c**3 + 13*c**2. Let m(i) = 3*i**3 - 6*i**2 - 2*i - 5. Give 6*f(z) + 13*m(z). -3*z**3 - 2*z + 1 Let v(i) = 5*i**3 + 3*i**2 + 4. Let n(u) be the third derivative of 7*u**6/60 + 2*u**5/15 + 11*u**3/6 - 3*u**2 - 5*u + 50. What is 4*n(d) - 11*v(d)? d**3 - d**2 Let h(q) = 2426*q**3 + 2*q**2 - 4*q + 2. Let b(m) = 13241108*m**3 + 10917*m**2 - 21834*m + 10917. What is 2*b(a) - 10917*h(a)? -2426*a**3 Let m(u) = 5582*u + 7. Let q(r) = -8370*r - 11. Determine 8*m(g) + 5*q(g). 2806*g + 1 Let b(f) = -f - 1. Let t = 190 - 192. Let r be (-1 - (0 + t))/(34/136). Let d(s) = -7*s - 2. What is r*b(p) - d(p)? 3*p - 2 Let z = 6676 - 6681. Let w(a) = -6*a - 10. Let k(f) = -4 + 5 + 6 + 4*f. Give z*w(b) - 7*k(b). 2*b + 1 Let t(f) = -2*f**3 + 702 - 348 - 351. Let n(h) = 3*h**3 - 6. Give 4*n(b) + 9*t(b). -6*b**3 + 3 Let q(z) = 24*z**3 + z**2 + 7. Let y(n) = -2*n**3 + 84*n**2 - 82*n + 2. Let c be y(41). Let i(h) = 8*h**3 + 2. What is c*q(d) - 7*i(d)? -8*d**3 + 2*d**2 Let k(m) = 478*m + 2. Let c(j) = -24*j. Calculate 8*c(t) + k(t). 286*t + 2 Let x(f) be the third derivative of -f**4/24 + f**3/6 - 205*f**2. Let w(r) = r**2 - 3*r - 6. Let v be w(5). Let l(d) = 11*d - 4. Determine v*x(i) + l(i). 7*i Let w(t) = -10*t**3 - 6*t**2 + 8*t - 7. Let i(j) = -9*j**3 - 5*j**2 + 7*j - 6. Let y = -1340 - -1347. Calculate y*i(q) - 6*w(q). -3*q**3 + q**2 + q Let j be (7 + -3)*174/(-232). Let o(g) = g**2 - g + 2. Let v(s) = 2*s**2 - 2*s + 3. Calculate j*v(i) + 4*o(i). -2*i**2 + 2*i - 1 Let i(p) = -p**2 - 6*p. Let c = -53 - -59. Suppose m - 8*w - 5 = -c*w, -5*m - w - 19 = 0. Let h(g) = g**2 + g. Determine m*h(j) - i(j). -2*j**2 + 3*j Let v(q) = 5*q**3 + 15*q**2 + 6*q - 1. Let l(d) = 6*d**3 + 16*d**2 + 7*d - 1. Let i = 1775 - 1768. Calculate i*v(p) - 6*l(p). -p**3 + 9*p**2 - 1 Let m(g) = -6*g + 6. Let p be (-1780)/1068 - (196/6)/2. Let a(w) = -w - 1. Determine p*a(i) - 3*m(i). 36*i Let v(g) = 4 + 44*g**2 - 44833*g + 44829*g - 4 - 5*g**2. Let j(a) = 4601*a**2 - 473*a. What is -4*j(z) + 473*v(z)? 43*z**2 Let g = -74 + 69. Let r(h) be the second derivative of 0 + 5/3*h**3 + 13*h - 5/2*h**2. Let f(z) = -7*z + 3. Give g*r(a) - 7*f(a). -a + 4 Let p(k) = -15*k - 27. Let i(l) = 11*l + 26. Determine -5*i(w) - 4*p(w). 5*w - 22 Let k = 5630 - 5628. Let j(d) = -d**2 + 2. Let p(z) = 3*z**2 + z - 5. Calculate k*p(v) + 7*j(v). -v**2 + 2*v + 4 Let r(x) = 4*x + 4. Let c be -3 + -1 + (-48)/(-4). Let f(p) = c*p + 13 - 37 + 33. What is 6*f(h) - 13*r(h)? -4*h + 2 Let t(p) = -866*p**2 - 8*p + 13. Let l(q) = -864*q**2 - 6*q + 10. Calculate -4*l(j) + 3*t
{ "pile_set_name": "DM Mathematics" }
-28)/m)? 1 Suppose 3*k + 3 = 0, -k - 1066 = -2*a - 5*k. What is the units digit of a? 5 Let z(q) = 5*q**2 + 2*q - 1. Let i be z(6). Suppose i + 89 = 8*v. What is the tens digit of v? 3 Let m(o) be the third derivative of -17*o**4/24 - 5*o**3/6 + 7*o**2. What is the tens digit of m(-2)? 2 Let j(z) = z**3 + 17*z**2 + 4*z + 21. What is the units digit of j(-16)? 3 Let x(w) = 10*w**3 - 3*w**2 + w. Let k be (27/(-18))/((-6)/8). What is the tens digit of x(k)? 7 Let t = 16 + -9. Suppose -4*w = -t*w. Suppose 6*p - 5*p - 22 = w. What is the tens digit of p? 2 Let p be (-160)/(-2) - (-1 - -3). Suppose -w = w - p. What is the tens digit of w? 3 Let j(o) = 47*o**3 + o + 2. What is the hundreds digit of j(2)? 3 Suppose 339 = 5*v + q - 3377, -747 = -v - 4*q. Suppose -4*i = -2*a - 584, -2*i + v = 3*i + 4*a. What is the tens digit of i? 4 Let z(d) be the second derivative of 97*d**5/20 + d**3/2 - d**2 - 2*d. What is the units digit of z(1)? 8 Let y(q) = 2*q**2 + 1. Let d = 0 - 0. Suppose d = -6*i + i - 15. What is the tens digit of y(i)? 1 Suppose 0 = 2*k - 5*k. Let y = k + 30. Suppose -2*d = 3*f - 4*d - 65, 2*f = -2*d + y. What is the tens digit of f? 1 Let m(o) = 10 + 0*o + 6 + 0*o - o. Let f be m(14). Let z = f + 9. What is the tens digit of z? 1 Suppose -49 = -z - 4*i - 11, -i = -z + 13. Let h = z + -23. What is the units digit of h/(-25) + (-258)/(-10)? 6 Let x(o) = 73*o**2 + 10*o - 130. What is the units digit of x(7)? 7 Let d(f) = -4*f**3 - f**2 + 1. Let x be d(-1). Suppose 11 + x = 3*j. Suppose j*n = k + k - 13, -4*n = -4. What is the units digit of k? 9 Let s be 51/(-4)*(-32)/8. Suppose -s - 45 = -2*v. What is the units digit of v? 8 Let s(d) = 10*d**2 - d - 6. Let h(q) = 21*q**2 - 2*q - 13. Let a(c) = -6*h(c) + 13*s(c). What is the units digit of a(-4)? 8 Suppose -6 - 24 = 2*b. Let r = b + 74. What is the tens digit of r? 5 Let q = -3394 + 7484. What is the tens digit of q? 9 Let m(u) = 4*u - 18. Let h be m(12). Let p(l) = -l - 4. Let o be p(-7). Suppose o*z = 5*z - h. What is the units digit of z? 5 Suppose 3*k = 2*k + 292. Let a = k + -159. What is the tens digit of a? 3 Let p(d) = d**3 + 12*d**2 + 22. What is the units digit of p(-11)? 3 Let q = -23 + 23. Suppose q = 7*t - 4*t - 147. What is the units digit of t? 9 Suppose -4*k = -2*k - 5*x - 23, -3*k + 52 = -4*x. Let p be (34 + -40)/(1/2). Let r = p + k. What is the units digit of r? 2 Let c be (-6)/(-4)*8/6. Suppose 7*a + 40 - 75 = 0. Suppose a*f = k + 5, c*f = -0*k - 3*k + 19. What is the units digit of k? 5 Let z = 2420 - 1507. What is the hundreds digit of z? 9 Let s(c) = -6*c**3 + 7*c**2 + 3*c - 6. What is the tens digit of s(-5)? 0 Suppose 5*i - 14 = -49. Let a = -2 - i. Suppose 0 = -a*s - 3*g + 89 + 123, -5*s + 204 = g. What is the tens digit of s? 4 Let t(w) = -w**3 - 3*w**2 + 3. Let l be t(2). Let r = l - -112. What is the units digit of r? 5 Let l = 54 + -100. Let a = l + 79. What is the tens digit of a/44 - (-162)/8? 2 Suppose 5*j - 5*r = 9390, -j + 6*j = 3*r + 9382. What is the tens digit of j? 7 Suppose -x + k + 85 = 13, -3*x - 3*k + 246 = 0. Suppose 9*c - x = 2*c. Let o = c - 9. What is the units digit of o? 2 Suppose -25*y + 26*y = 3708. What is the thousands digit of y? 3 Suppose -470 + 82 = -2*k. What is the units digit of k? 4 Suppose -7*j = -2*j. Suppose -2*w = 4*d + 28, -4*w + j*w + d = 101. What is the units digit of 2/(-3) + (-376)/w? 5 Let d(f) = 5*f + 6. Let q(z) = 5*z + 17. Let h(p) = -6*p - 16. Let k(t) = 6*h(t) + 5*q(t). Let m(w) = -5*d(w) - 2*k(w). What is the units digit of m(-7)? 3 What is the units digit of (-987)/(-3) - (-9)/3? 2 What is the tens digit of (-1 + (-3467 - 0))*222/(-296)? 0 Suppose -5*f - 11*g = -7*g - 1906, 0 = -2*f + 2*g + 748. What is the hundreds digit of f? 3 Let o(f) be the first derivative of -f**4/4 - 3*f**3 - 4*f**2 + 4*f + 3. Let q be o(-6). Let v = 81 + q. What is the units digit of v? 5 Let a(c) = -9*c**3 - 3*c**2 - 3*c - 1. Let l be a(-1). Let x = 12 - l. Suppose -5*r - 3*i + 115 = -8*i, i = x. What is the units digit of r? 7 Let m(o) = 65*o - 5. What is the tens digit of m(3)? 9 Let l(y) = y**2 - 11*y - 7. Let p be l(12). Suppose -a + 183 = 3*h - 2*a, 15 = -p*a. Suppose -3*w = w - h. What is the units digit of w? 5 Let h = 1030 + -729. What is the units digit of h? 1 Let n be 0 + 4 + (-1 - -3). Let a = 59 - n. What is the units digit of a? 3 Let q(v) be the second derivative of -v**4/12 + 11*v**3/6 + 3*v**2/2 + 2*v. What is the units digit of q(5)? 3 Suppose 82*r + 4656 = 130*r. What is the units digit of r? 7 Suppose -21*a - 4505 = -26*a. What is the tens digit of a? 0 Let y = -1034 - -1482. Suppose -2*c = -3*r - 0*r - y, -444 = -2*c + 2*r. What is the hundreds digit of c? 2 Suppose -6*f = -3154 - 11882. What is the thousands digit of f? 2 Let x = -11 + 28. Suppose -8 = -5*m + x. What is the units digit of 160/25 - 2/m? 6 Suppose 4*h - 2*k = 360, -4*h = -7*h + 2*k + 270. Let t = h + -24. What is the units digit of t? 6 Suppose 0 = -5*h - 8875 + 1595. What is the hundreds digit of ((-90)/25 - -4) + h/(-10)? 1 Suppose 30 - 18 = -2*d. Let q(n) = 4*n**2 + 8*n - 5. What is the tens digit of q(d)? 9 Let j(a) = -6*a + 5. Let m be j(-2). Suppose -21 = -w - m. What is the units digit of w? 4 Suppose 894 = 2*n + 2*b, 5*n - 7*b = -11*b + 2232. What is the hundreds digit of n? 4 Suppose -k - 10*w + 15*w + 184 = 0, 5*w - 398 = -2*k. What is the hundreds digit of k? 1 Let a be 1 - (1 + -4 + -1). Suppose -m + 3*t + 23 = 0, a*m + 2*t = t + 195. What is the tens digit of m? 3 Suppose -7*d + 8*d - 509 = 0. Suppose -a = -3*q + d, 0*q + 853 = 5*q - 4*a. What is the units digit of q? 9 Suppose -y + 2*m = 6*m - 11, 2*y - 43 = -m. Suppose v = y + 80. What is the tens digit of v? 0 Let w = 2805 + 973. What is the units digit of w? 8 Suppose 0 = -5*h - 5*x + x - 1136, -x + 1116 = -5*h. Let s = -75 - h. What is the tens digit of s? 4 Let h = 172 - -175. Let a = h + -194. What is the units digit of a? 3 Let j(q) = q**2 + 8*q + 3. Let y be j(-8). Suppose 3*i + i = -24. What is the tens digit of y + 34 - (i + 2)? 4 What is the units digit of 453*(((-200)/12)/5 + 4)? 2 Suppose 0 = -157*f + 195*f - 244340. What is the tens digit of f? 3 Let d = 21 - 31. Let x = 24 + d. What is the units digit of x? 4 Let s(u) = 3*u - 2. Let p = 20 - 17. Let w be s(p). Suppose g = 2*m - 2*g + 5, 2*m + g = w. What is the units digit of m? 2 Let r(p) = -p**3 - 6*p**2 - 11*p - 9. Let y be r(-4). Suppose -64 = -3*g + y*f + 305, g + f = 115. What is the tens digit of g? 1 Let p = 1408 + -910. What is the units digit of p? 8 Let a be 6 - (-9)/(18/(-8)). Suppose 0 = a*v - 475 + 117. What is the hundreds digit of v? 1 Let o(u) = 7*u - 38. Suppose 2*x - 32 = -6. What is the units digit of o(x)? 3 Let t = -126 + 89. Let v = -17 - t. What is the units digit of v? 0 Let r(f) = 6*f**2 - f. Let x be r(-1). Suppose 0 = 2*g + 1 - x. Suppose g*z - 2*z - 8 = 0. What is the units digit of z? 8 Let v(j) = -j**3 - 5*j**2 - 6*j - 11. Let r be v(-6). Let x = 138 + r. What is the units digit of x? 9 Let j(v) = v - 5. Let w be j(8). Suppose 25 = 5*f - 5*b, -5 = -f + b - 4*b. Suppose w*c = 4*c + 4*u - f, -c + 10 = -u. What is the units digit of c? 9 Suppose r + 159 = 417. What is the units digit of r? 8 Let b be ((-6)/(-5))/((-9)/(-30)). Let p(s) = 19*s - 6. What is the units digit of p(b)? 0 What is the hundreds digit of 546 + -24*10/(-40)? 5 Suppose -3*p + 2*l + 10 = 0, -2*l = 4*p - 19 - 13. Suppose -h + p*h = 0. Suppose h = 4*j + 3*u - 76, 3*j = -j - 4*u + 72. What is the tens digit of j? 2 What is the tens digit of 2/(-4)*(90/10 - 575)? 8 Let x = 226 - 99. What is the units digit of x? 7 Suppose -4*p = -j + 30, 2*j = -3*p - 0*p + 5. Let b(f) = 4*f + 2. What is the tens digit of b(j)? 4 What is the tens digit of 43*(4 + (-9)/(12/(-4)))? 0 Suppose -4*x + 112 = -3*x + 3*i, 0 = -4*x - i + 470. What is the hundreds digit of x? 1 Let n(y) = -y**3 + 7*y**2 - 8*y - 5. Let s be n(5). Suppose -q - 438 = -s*r, -4*r + 333 = -0*r + 5*q. What is the units digit of r? 7 Let r = -110 - -156. Suppose 2*c - r = -3*n, 3*n = -n + 2*c + 38. What is the units digit of n? 2 What is the tens digit of (-176)/(98/(-28) + 6/4)? 8 Suppose -2*r - 5*r = -469. What is the units digit of (r/(-2) - -1)*24/(-10)? 8 Suppose -2*k - 10
{ "pile_set_name": "DM Mathematics" }
q**3. Calculate x(-3). 7 Let y(v) = v**2 - v + 2. Suppose -2*s + 3*x - 2*x + 15 = 0, -2*s + 3*x = -21. Let n(r) = -r**2 + 5*r + 8. Let i be n(s). Calculate y(i). 4 Let h(x) = -x**3 - 2*x**2 - 2*x - 2. Let p be h(-2). Suppose -4*l + p = -10. Let b(q) = 4*q**3 + q**l - q + q**2 + 0*q**3 - 1. Calculate b(-1). -4 Let h(b) = -2*b**2 + 4*b + 7. Let d be (-4 - (-2 - -1))/((-33)/55). What is h(d)? -23 Let x(y) = -19*y + 0*y**3 + y**3 + y**2 + 2*y**2 + 2 + 23*y. Give x(-2). -2 Let v(o) = 9*o**3 + o**2 + 25*o + 9. Let g(y) = 5*y**3 + y**2 + 13*y + 5. Let z(h) = -11*g(h) + 6*v(h). Determine z(-6). -7 Let b be 52/3 - (-1)/(-3). Suppose o - 1 = i, -3*i + 4 = 5*o - b. Let q be (2 - 6/o) + -2. Let n(v) = -v**3 - 2*v**2 + 2. Calculate n(q). 2 Suppose 2*i + 10 = 0, -2*o + 0*o - 2*i = 10. Let d(l) be the first derivative of -1 + 7/3*l**3 + l + o*l**2. Give d(-1). 8 Let x(t) = t + 5. Let j = 20 - 23. Let g = j - 3. Give x(g). -1 Let q(k) = -4*k**3 + k - 1. Suppose 0 = 3*v - 2*i - i + 6, 0 = 2*i - 6. Give q(v). -4 Let o(i) be the third derivative of -1/60*i**5 + 0 + 0*i**3 - 1/8*i**4 + 0*i + 3*i**2 + 1/720*i**6. Let l(b) be the second derivative of o(b). What is l(2)? 0 Let f(p) = -p**3 + 4*p**2 - p + 3. Suppose -27*u = -22*u - 15. Calculate f(u). 9 Let t(j) be the first derivative of -j**3/3 + 2*j**2 - 2*j + 1. Let x be 0 - (-2 + 4 - (0 + 5)). What is t(x)? 1 Let s(h) = 2*h - 3 + h**2 - 5*h + 1. Let x be ((-1)/(-3) + -1)*-6. Calculate s(x). 2 Let p(u) = 4*u - u**3 + 4*u**2 - u - 5 + u**2. Let v be 30/(-18)*(2 + -5). Determine p(v). 10 Let r(n) = -5*n**2 + 1. Let x(t) = -14*t**2 + t + 4. Let k = 4 + -2. Let l(p) = k*x(p) - 7*r(p). Calculate l(-1). 6 Let r(n) = n. Let j(v) = v**2 - 3*v. Let h be j(6). Suppose -5*w - 12 = h. Determine r(w). -6 Suppose f - 5 = 0, -22 = -2*k - 0*f - 2*f. Let g(z) = z**2 - 9*z + 8. Give g(k). -10 Suppose 6 = 3*a, p - 2 = -3*p - 5*a. Let o(m) = 2*m**3 + 4*m**2 + 4*m + 3. What is o(p)? -5 Let i(v) = -v**3 - 4*v**2 + 5. Let n be i(-4). Let r(w) = -w. Let l(z) = -2*z - 4. Let d(u) = l(u) - 3*r(u). What is d(n)? 1 Let w(m) = 3*m**3 - 9*m**2 - 2*m + 5. Let v(y) = -y**3 + y**2 - 1. Let s(d) = -4*v(d) - w(d). Calculate s(-5). -11 Let y(a) be the third derivative of a**6/60 + a**5/20 + a**4/8 + a**3/2 - 10*a**2. Let x = -3 + 1. What is y(x)? -7 Let g = -10 - -14. Let l(t) = 14*t - t**3 + 5*t**2 - 3 - 27*t + 9*t. Give l(g). -3 Suppose -8 = -2*i - 2*t - 2*t, 3 = 3*t. Let n(w) be the second derivative of -w**3/6 - w**2 + 5*w. What is n(i)? -4 Let h be (-2)/(-3)*3/(-1). Let r(p) be the first derivative of 2*p**3/3 + p**2/2 - 2*p + 2. What is r(h)? 4 Let j(s) be the third derivative of -s**9/60480 - s**8/3360 - s**7/1680 + s**6/120 + s**5/20 + 4*s**2. Let i(c) be the third derivative of j(c). What is i(-5)? -4 Let v(s) = s**3 + s**2 + 4. Let x(f) = 10 + 0*f - 3*f + 4*f. Let t be x(-10). Determine v(t). 4 Let r(p) = 2*p**3 - p**2 - p + 1. Suppose b + 2*j - 4*j = 16, -4*b + 2*j = -34. Let g be ((-4)/6)/((-4)/b). What is r(g)? 1 Let j(c) = -c**3 + 4*c**2 + c - 5. Let v be 90/21 + (-2)/7. Calculate j(v). -1 Let p(w) = 7*w**3 - w**2 - w - 11. Let o = 5 + 1. Let a(d) = 8*d**3 - d**2 - d - 12. Let s(c) = o*a(c) - 7*p(c). Calculate s(0). 5 Let t(b) be the second derivative of -b**5/20 + b**4/3 - b**3/6 - 2*b. Let n(v) = v**3 - v**2 - v + 6. Let p be n(0). Let w be (-6)/(3/p - 2). Calculate t(w). -4 Let b = -4 - -3. Let u(j) = -145 + 145 + 4*j + 6*j. Give u(b). -10 Let b = 13 - 10. Let a(v) = -14 - v + b*v - v. Calculate a(6). -8 Let w(r) = r**2 + 5*r. Suppose -25 = 4*n - 9*n. Suppose 0 = -3*v - 4*q + 3*q, -n*v + 4*q - 17 = 0. Let i be -1 + v*(4 - 1). Calculate w(i). -4 Let c(p) = 3*p - 4. Let x(a) = -a**2 + 6*a - 9. Let w be x(5). What is c(w)? -16 Suppose v = -q - 2, -4*q - 1 = 2*v + 3. Let x be (-45)/(-25) + v/(-10). Suppose -4*c - 4*m = -c + 19, 0 = c + x*m + 7. Let b(h) = -h**2 - 5*h + 7. Give b(c). 7 Let d(z) be the third derivative of 0 - 1/60*z**5 + 1/4*z**4 + 0*z - 5*z**2 + 0*z**3. Determine d(6). 0 Let w(k) = k**3 + 8*k**2 + 12*k - 3. Let h(v) = -v - 1. Let x(u) = -5*h(u) - w(u). Determine x(-7). 8 Let g(w) = 0 - w**2 + 7 + 16044*w - 16043*w. Suppose -2*r + 0 = 2*m + 4, 4*m + 8 = 2*r. Determine g(r). 7 Let h be (-21)/6*(0 - 2). Let q(b) = h - 18*b + 18*b - b**2. Give q(0). 7 Let w(b) = b**2 + 8*b + 8. Let m be w(-6). Let a be 0 + m*6/(-8). Let p(k) = -k + 1. What is p(a)? -2 Suppose 0 = -i + 5*v + 12, 5*i = 3*v - 2 + 18. Let t(f) = 2*f - 3*f**2 + f - f**2. Give t(i). -10 Let l(d) = -d - 1. Let m be l(6). Let h = 6 + m. Let q(a) = -3*a**3 + 2*a**2 + 2*a + 1. Give q(h). 4 Let t be (-3 + 6 - 0)/1. Let v(w) = 3 - t - 1 - 4*w. Let m = 0 + -1. What is v(m)? 3 Let s = 3 + -1. Let n(a) = 12*a - 1 - 3*a - s*a - 4*a. Suppose 4*d = -2*t + 6*d + 2, 5*t = -4*d + 14. What is n(t)? 5 Let s(b) = 2*b**2 - 4*b + 1. Let w(p) = p**2 - 2*p. Suppose k + 36 = 5*k. Let h(g) = k*w(g) - 4*s(g). Calculate h(4). 4 Let v(b) = -b**2 + 4*b - 3. Let q be -9*(-1 + 12/9). Let x = 6 + q. What is v(x)? 0 Let z(r) = r**3 - 3*r**2 - 2*r + 2. Let q = -15 + 17. Suppose -2 = q*d - 8. Calculate z(d). -4 Let x(i) be the third derivative of -i**4/8 + i**3 - 13*i**2. Calculate x(5). -9 Let k(n) be the second derivative of n**4/12 - n**3 + n**2 + n. Let v(o) be the first derivative of -o**3/3 - 5*o**2/2 + 5*o - 1. Let c be v(-5). What is k(c)? -3 Let j(z) = -z**3 + z**2 + 7*z + 6. Let m(s) = 6 - s**2 - s**3 + s**2 + 7*s. Suppose 3*u - 9*u + 24 = 0. Let q(f) = u*j(f) - 5*m(f). Calculate q(-5). 4 Let d be 44/(-7) + 2/7. Let j(z) = 3*z**2 + 5*z - 8. Let c(t) = 13*t**2 + 20*t - 33. Let l(g) = -2*c(g) + 9*j(g). Give l(d). 0 Let j(z) = -z**2 - 4*z + 6. Suppose 0 = h + 2*o - 5, o - 25 = -0*h + 4*h. What is j(h)? 1 Suppose 5*f - 2 = 3. Let j(k) = -k - 1. Let x(y) = 36*y + 30. Let q(z) = 30*j(z) + x(z). Give q(f). 6 Let y(v) = -v**3 + 5*v**2 - v + 5. Let o(n) = -2*n + 2. Let k be o(6). Let r = k + 15. Determine y(r). 0 Let b(n) = -n**3 + 2*n**2. Let p(o) = o**3 - 2*o**2 - 1. Let i(d) = 1. Let s(y) = i(y) + p(y). Let g(m) = 4*b(m) + 3*s(m). Suppose -j + 1 + 1 = 0. What is g(j)? 0 Let g(i) = 2*i**3 + 2*i**2 + 4*i + 2. Let p = 80 - 82. Give g(p). -14 Let a(f) = 2*f**2 + 6*f - 6. Let j be a(-5). Let g = j + -28. Let q = g + 9. Let l(s) = -s**2 - 6*s. Give l(q). 5 Let l(v) = -v**3 + 11*v**2 - 9*v - 9. Let m be l(10). Let c(i) = 3*i. Let s be c(m). Suppose 5 = 2*u - s*u. Let d(k) = -k**3 - 4*k**2 + 4*k + 1. What is d(u)? 6 Let o(y) = y**2 + y + 1. Suppose q - 2*t + 5 = 0, 3*q + 0*q + 5*t + 4 = 0. Calculate o(q). 7 Let i(o) = -o**3 + 8*o**2 - 5*o - 7. Let u = 45 + -38. Determine i(u). 7 Let r = 3 - 3. Let j(y) = 6 + 2*y - 4*y + r*y. Let k(i) = 2*i - 2. Let h be k(3). Determine j(h). -2 Let d(j) = -9*j**3 - 2*j + 19 - 12 - 6 - 7*j**3. Calculate d(1). -17 Suppose -3 = -2*w - 13. Let a(f) = 11*f**3 + 19*f**2 - 7*f - 1. Let c(p) = -5*p**3 - 9*p**2 + 3*p + 1. Let z(o) = -4*a(o) - 9*c(o). What is z(w)? -10 Let z be 2 + (-3)/((-3)/(-4)). Let x(f) = -f - 5. Let j(u) = 6. Let v(d) = 2*j(d) + 3*x(d). Calculate v(z). 3 Let x(d) be the third derivative of -d**5/60 + 7*d**4/24 - 5*d**3/6 - 3*d**2. Let c be x(5). Let q(g) = -g**3 + 5*g**2 + g + 2. Calculate q(c). 7 Let y = 3 + 2. Let a(t) = -y - 2*t - 4 + t + 5. Determine a(-4). 0 Let x(z) = -2*z + 2. Let k(h) = -3*h - 1 - 2 + 2. Let r be k(-3). Let i be (r/12)/(4/18). What is x(i)? -4 Let i(t) be the first derivative of t**5/120 - t**4/4 - 2*t**3/3 - 3. Let m(u) be the third derivative of i(u). What is m(6)? 0 Let l(f) = -f**3 + 6*f - 3*f + 0*f - 2 + 2*f**2. Suppose -3*p - 2*p + 15 = 0. Let i be l(p). Let k(o) = 2*o**3 + o**2 - 2*o. Calculate k(i). -8 Let q(b) be the third derivative of 5*b**4/12 - 2*b**2. Calculate q(1). 10 Let n(d) be the third derivative of -d**6/120 - d**5/30 - d**4/6 - d**3/3 + 7*d**2. Give n(-2). 6 Suppose 139 = 3*w + 34. Let v be (12/(-10))/(14/w). Let c(j) = j + 7. Give c(v). 4 Let i(l) = -l + 2. Let s(b) = b - 2. Let p(m) = -6*i(m) - 7*s(m). Let j(t) = -t - 14. Let k be j(-14). Calculate p(k). 2 Let z(y) be the first derivative of -y**4/4 + 4*y**3/3 + y**2 + 7*y - 1. Let r be z(5). Let m = -12 - r. Let c(i) = -i**2 - 4*i + 5. Give c(m). 5 Suppose 0 = 2*z - 3*z. Suppose 2*i = 0, 5*v - 4*v - 2*i - 19 = z. Suppose 2*k = -3*p - v, 2*p + 10 = -0
{ "pile_set_name": "DM Mathematics" }
-1.929 - 0.071. Which is the third biggest value? (a) t (b) -6 (c) q b Suppose 26*s = 47*s + 105. What is the third biggest value in -2, 5/4, 0.1, s? -2 Let h be (135/24 - 6) + 2/(-16). Suppose 0 = -n + 6*n + 20. Which is the second smallest value? (a) n (b) 6/7 (c) h c Let f = 61/7 + -277/35. Let d = 0.41 - 0.11. Which is the smallest value? (a) d (b) 1 (c) f a Let w = 3 - 2.5. Suppose -10*p + 1750 = 1800. Which is the third smallest value? (a) w (b) p (c) 22 c Let p = -399 + 392. Which is the third biggest value? (a) -0.1 (b) p (c) 9 b Let k = 16 - 18. Let g = -2.2 + 1.9. What is the second smallest value in k, -1, g? -1 Let c = -13.6 + 12. Let y = c + 6.6. Let z = 14 + -20. What is the second biggest value in y, -0.5, z? -0.5 Let z be (-54)/168*1/6*-8. What is the biggest value in 1.2, 3, 0, z? 3 Let g = -0.1 + 0.1. Let n = 0 + g. Suppose -17 = -5*a + 2*p, a - p = 3*p + 7. What is the third biggest value in a, 1/3, n? n Let m = -13 + 41. Let v = -43 + m. Let t = v - -15.1. What is the second smallest value in t, -2, 1? t Let i(y) = 9*y**2 - 54*y + 1. Let u be i(6). Which is the third biggest value? (a) -2 (b) 63 (c) u a Let f = 1.9232 + 0.0768. Which is the smallest value? (a) f (b) 4/9 (c) 3 (d) 5 b Let g = -94 + 96. Let m = -1.01 + 5.91. Let i = m + -0.9. What is the third smallest value in -0.1, i, g? i Let t = -35/4 + 33/4. Let y = -5 - -1. What is the second biggest value in -5, y, t? y Let i = 8.17 + -1.07. Let a = 1.9 + i. Let z = a - 8. What is the smallest value in z, 1/3, -4? -4 Let j = -12.2 - -12.2. Suppose x = 4*x - 36. Let m be (-9)/x - (-2)/4. Which is the third biggest value? (a) -6 (b) j (c) m a Let j = -14 + 14.13. Let l = -1.67 - j. Which is the third biggest value? (a) 3 (b) 0 (c) l c Let m = 0.04937 - 0.07937. Suppose -4*p = 4, -s + 1 = -0*s - 4*p. Which is the smallest value? (a) m (b) s (c) 0.1 b Let r = -1.9 - -2. Let w = -4.89 - -4.82. Which is the third biggest value? (a) w (b) -0.2 (c) r b Let w = 0.9 - 0.9. Let v be 15/(-14) - (117/18 + -7). What is the fourth smallest value in 5, v, 4, w? 5 Let q = -18.95 - -18.45. Let p = -0.6 + 0.3. Let s = p + -0.7. Which is the biggest value? (a) q (b) 2 (c) s b Let t = -2 - -2.07. Let d = t - 0.37. Let s(o) = -o + 9. Let i be s(4). Which is the smallest value? (a) -0.1 (b) d (c) i b Let j = -98.24 - -102. Let z = j - -0.24. Let o(l) = -2*l - 1. Let h be o(2). What is the third biggest value in h, -0.5, z? h Let w = 4 + -4.3. Let s = -36.7 - -26. Let z = s - -11. Which is the biggest value? (a) w (b) z (c) 2 c Let b = -24 - -24.156. Let h = -0.056 + b. What is the second smallest value in h, -0.2, -14? -0.2 Let f(u) = 2*u**3 - 19*u**2 - 30*u - 14. Let c be f(11). What is the smallest value in -2, -3, c? -3 Let s = -22.8 - -14.8. What is the third smallest value in -2.1, s, 0.4? 0.4 Suppose 0 = -5*x - 52 + 2. Let g(r) = r**3 - 3*r**2 - 2*r + 2. Let z be g(4). Let f = x + z. Which is the third smallest value? (a) 0.4 (b) f (c) 2 c Let p = -53 + 88. Let t be p/25 - 2/2. Suppose 0 = -5*s - l + 23, 5*s + 3*l = 17 + 2. Which is the second smallest value? (a) s (b) 0.1 (c) t c Let c = -19.244 + 18.844. Let f = -39/86 + -2/43. Suppose v + 3*p - 2 = 0, -5*v - p + 18 = -6. What is the second smallest value in f, v, c? c Let q = -65 + 65.3. What is the fourth biggest value in 0.4, q, -3, -0.1? -3 Let u = -33 - -54. Let d = u - 20.9. Which is the smallest value? (a) 2/3 (b) 0.4 (c) d c Let h be 70/(-100)*(-4)/(-7). Which is the second biggest value? (a) -1/3 (b) h (c) 16 a Let s = 1768 - 1769. Which is the third smallest value? (a) s (b) -9 (c) -30 a Let x be ((-16)/(-6))/(0 - -6). What is the second smallest value in 7, 0, x? x Let x = -10.88 - -11. Let b = -7.88 - x. Let i = b + 4. What is the third smallest value in i, 5, -1? 5 Suppose 6*q + 7 + 5 = 0. Let l be (q/(-6))/((-64)/(-72)). What is the second biggest value in 2/21, l, -7? 2/21 Let z = -425/366 + 81/61. Let y = 13.72 + -14. Let g = y + -0.02. Which is the biggest value? (a) g (b) -3 (c) z c Suppose u - 2*l + 52 = -3*u, 4*l - 34 = 3*u. Let w be ((-20)/140)/(4/u). Let n = -0.3 - -0.5. Which is the second smallest value? (a) 6 (b) n (c) w c Let q = -0.0335 + 0.2335. What is the third smallest value in 5, q, 26? 26 Let j = -169 - -173. Which is the second smallest value? (a) j (b) 2/3 (c) 4/7 (d) 3/4 b Let m = 0.692 + -0.192. What is the biggest value in -4, 19, m? 19 Let t(m) = m**3 - 8*m**2 - 6*m - 22. Let l be t(9). What is the smallest value in -3/4, 1, l, 0.92? -3/4 Let k be 2/(-5) - 8/(-45). Suppose 3*j = -4*f + 25, -f - f + 4*j = -40. Suppose -f = -4*p - 26. Which is the second biggest value? (a) k (b) 2 (c) p a Suppose 3*q = -q + 2*g + 588, q = 2*g + 153. What is the biggest value in 4/7, q, -0.2, 1? q Suppose 7*u - 18*u = 44. Let w be u/(-36)*-1*4/2. What is the second smallest value in 2/13, w, 4, -0.3? w Suppose -4 - 2 = 6*r. What is the second biggest value in -5/2, -0.4, r? r Let u = -1.014 - 1.038. Let l = u - -0.052. Which is the third smallest value? (a) l (b) 4 (c) 3 (d) 1 c Let j = -149.1 + 149. Let d = 2.7 - -0.3. Which is the second smallest value? (a) j (b) d (c) -4 a Suppose 4*m - 56 = p - 5*p, -34 = -2*p - 5*m. Let l = 181.3 - -0.7. Let o = l + -182. Which is the second smallest value? (a) p (b) o (c) -1/2 b Let p(h) = 3*h**2 + 5 + h**3 - 5*h + 3 - 9. Suppose -q + 4*r = 8, 3*q = -3*r - 2*r - 7. Let z be p(q). Which is the third biggest value? (a) -3 (b) 1/2 (c) z a Let j = -4.03 - -0.03. Let t = 31.97 + 0.03. Let x = 31.5 - t. What is the second smallest value in j, 2/13, x? x Let f(h) = -2*h + 4. Let g(n) = -n + 1. Let c(u) = 2*f(u) - 7*g(u). Let m be c(-2). Let w be 8/(-20) + (-22)/m. What is the smallest value in w, 1/2, -3? -3 Let w = -0.3 + 0.5. Let h = -183.2 + 186. Let s = w + h. Which is the third biggest value? (a) -7 (b) s (c) 2/3 a Let i be ((-6)/8)/(13 + (-875)/56). Which is the fourth biggest value? (a) i (b) 5/3 (c) -2/13 (d) 31 c Let b = -0.09 - -0.09. Let m = -11 - b. Let k be 11/44*(-2)/4. What is the second smallest value in m, -5, k? -5 Let p = 50 + -86. Let n = 36 + p. Suppose -2*h + 6 = -f + h, h = 2*f + 7. Which is the smallest value? (a) -0.5 (b) f (c) n b Let p be 2/(-8) + 970/40. Suppose 2*x + 18 = p. Let v = -1.2 - -1. Which is the third smallest value? (a) 4/5 (b) v (c) x c Let p(m) = -m**2 + 9*m + 2. Let k be p(9). Suppose 0 = -k*s - s. What is the third smallest value in 2, 0.4, s, 0.07? 0.4 Let a = -57 - -61.8. Let b = a - -1.2. Let z = b + -11. What is the third biggest value in 5, 2/7, z? z Let j = -77 + 537/7. Let h = 5 + -7. Let q = -0.2 + 0.6. Which is the biggest value? (a) q (b) j (c) h a Let x = 34.6 - 34. Let o = x + -1.1. Let j be (0 - -6)/(-3) + -1. Which is the second biggest value? (a) o (b) j (c) 4 a Let c be (20/(-26))/5 + (-1952)/(-12350). What is the third smallest value in -1/4, c, 2? 2 Let g be 2 - 2781/(-28545)*-971. Let q = 2/9515 - g. Let b = q + -93. What is the second biggest value in b, 2, 0? 0 Let j be 0 - (5 + -12 + 4). What is the second biggest value in 4, j, -42? j Let j = 1503 + -1496. Which is the smallest value? (a) 0 (b) 2/23 (c) j (d) 0.1 a Let q be ((-88)/42 + 2)/(25/75). Let u = -10 - -5. What is the fourth smallest value in u, 2/5, -1, q? 2/5 Suppose -36*n = -31*n - 1265. Let h = n + -489/2. Which is the third smallest value? (a) -2 (b) 0 (c) h (d) -2/3 b Let j = -15494/5 - -294376/95. Let k = 63 - 563/9. Which is the third smallest value? (a) j (b) -4 (c) k (d) 5 c Suppose -3*v + 3*s = -4*v - 22, 0 = 4*v - 2*s + 18. What is the biggest value in v, 2/11, 0.8, -0.4? 0.8 Let p = 83.9 + -84. What is the third smallest value in -3.73, 0.3, p? 0.3 Let i = 48 - 36. Let g be 8/(-48) + (-46)/i. What is the biggest value in g, 2/7, -2/5, -0.1? 2/7 Let n(o) = -o**2 - o. Let r be n(5). Let p = -7079 + 7079. Which is the third biggest value? (a) -0.5 (b) r (c) p b Let q be 68/(-208) + (-1)/(-13). Let v = -9 + 10. What is the third smallest value in -2, q, v? v Let t be 24/324 - (-201)/567. Let u = 0.06 - 3.06. Let v = -2 + u. Which is the smallest value? (a) t (b) -0.1 (c) v c Suppose 36 = 9*y - 13*y. Let d(p) = p**3 + 10*p**2
{ "pile_set_name": "DM Mathematics" }
et b = 7 - 4. Let w(f) be the second derivative of -f**4/2 - 13*f**2 + f. What is b*w(y) + 16*x(y)? -2*y**2 + 2 Let n(f) = -49*f**2. Let q(r) = 540*r**2. Give -45*n(t) - 4*q(t). 45*t**2 Let c(g) = -6*g - 7. Let j(v) be the second derivative of 13*v**3/6 + 15*v**2/2 - 7*v. Determine 9*c(q) + 4*j(q). -2*q - 3 Let j be 1*(7*6)/(-3). Let v(d) = -d - 7. Let l(a) = -1. What is j*l(y) + 2*v(y)? -2*y Let s(k) = 2*k**2 + k + 2. Let j(u) = u**2 + u. Determine -2*j(n) + 2*s(n). 2*n**2 + 4 Let g(z) = -4*z - 5. Let p(x) = -x - 1. Give -g(f) + 5*p(f). -f Let b(x) = -6*x - 11. Let v(h) = 3*h + 6. Give 4*b(g) + 7*v(g). -3*g - 2 Let t(a) = -a**3 + a**2 + 1. Suppose 5*y = 4*y. Suppose y = 2*g + 2*g - 4. Let c(d) = -2*d**2 + 0 - 4 + 5*d**3 - 4*d**3. Give g*c(x) + 2*t(x). -x**3 - 2 Let v(w) = 3 + 4*w + 1 + 1. Let f be (-2)/6 - 182/39. Let d(n) = -3*n - 4. What is f*v(j) - 6*d(j)? -2*j - 1 Let y be (-1)/(2*(-2)/20). Let f(z) = -z**2 + z - 5. Let w(h) = -1 + 6 - 3. Calculate y*w(j) + 2*f(j). -2*j**2 + 2*j Let r(y) = 8*y**2 + 2*y - 7. Let j(u) be the second derivative of -23*u**4/12 - u**3 + 10*u**2 + 2*u - 35. Let v be (-40)/(-7) + 4/14. Give v*j(d) + 17*r(d). -2*d**2 - 2*d + 1 Let l(i) = -15*i - 1. Let q(c) = 5*c. What is -2*l(p) - 7*q(p)? -5*p + 2 Let h(k) = 2*k**3 + 5*k**2 - 5*k. Let r = -5 - -6. Let b = 3 - r. Let a(j) = j**b - j**3 - j + 3*j - 3*j**2. Give 5*a(s) + 2*h(s). -s**3 Suppose i = 4*i + 6, 3*n = 2*i + 10. Let m(u) = -2*u**3 + 2*u - 2. Let f(k) = -8*k**3 + 9*k - 9. Give n*f(l) - 9*m(l). 2*l**3 Let a(p) = -8*p**2 - 4*p. Let t(z) = -23*z**2 - 11*z. Suppose -5*l = 6 + 14. Calculate l*t(d) + 11*a(d). 4*d**2 Let p(d) = -20*d - 1. Let n(g) = -g - 1. Calculate -3*n(t) + p(t). -17*t + 2 Let g(x) = 9*x**3 - 5*x**2 + 17*x + 3. Let s(i) = -4*i**3 + 2*i**2 - 8*i - 1. Determine 2*g(k) + 5*s(k). -2*k**3 - 6*k + 1 Let g(j) = 14*j + 17. Let h(k) = 6 + 2*k + 2*k - 5*k + 6*k. Let z(o) = o**2 + o + 20. Let w be z(0). Let x = w + -3. What is x*h(s) - 6*g(s)? s Suppose -3 = 2*x - i - 5, i - 10 = -4*x. Suppose -20 = -x*k - 2*k. Let s(u) = 2*u**3 + 8*u + 8. Let v(b) = -b**3 - 5*b - 5. What is k*s(n) + 8*v(n)? 2*n**3 Let v(g) = 3*g**3 + 2*g**2 - 2*g + 2. Let d(q) = -48*q**3 - 33*q**2 + 33*q - 33. Determine -2*d(h) - 33*v(h). -3*h**3 Let i(r) = 4*r**2 + 5*r - 5. Let c(n) = -3*n**2 - 6*n + 6. Calculate 5*c(o) + 6*i(o). 9*o**2 Suppose -5*k = -2*k. Let b(h) = -11 + k + h + 5*h. Let s(o) = -o + 2. Calculate -6*b(g) - 33*s(g). -3*g Let y(r) be the first derivative of -2*r - 3 + 5 - 3*r**2 + 5*r**2. Let b(f) = 9*f - 4. Give 2*b(w) - 5*y(w). -2*w + 2 Let w(f) = 56*f + 32. Let b(d) = -5*d - 3. Calculate -32*b(o) - 3*w(o). -8*o Let y(i) = -5*i + 5. Let t = -4 + 7. Suppose -t*d + 6 = -d, -2*r = -5*d - 11. Let u(k) = -11*k + 11. Give r*y(q) - 6*u(q). q - 1 Let n = 7 + -12. Let p(i) = -9*i**2 + 5*i + 5. Let j(h) = 5*h**2 - 3*h - 3. Calculate n*j(w) - 3*p(w). 2*w**2 Suppose 5*i = -4*a + 23, 3 = -3*a + 2*a. Let o(g) = 5*g**2 - 6. Let r(t) = -5*t**2 - 6*t**2 + 7 + 5*t**2. What is i*o(m) + 6*r(m)? -m**2 Let s(w) be the second derivative of -3/2*w**2 + 0 - w - 1/12*w**4 - 1/2*w**3. Let z(a) = 3*a**2 + 10*a + 10. Let m = -914 + 910. Determine m*z(t) - 14*s(t). 2*t**2 + 2*t + 2 Let d(a) = -4*a**3 - 3*a - 3. Let f(q) = -2*q**2 + 3*q - 1. Let b be f(2). Let h be (20/16)/((-2)/8). Let l(i) = 7*i**3 + 5*i + 5. Determine b*l(m) + h*d(m). -m**3 Let f(o) = -16*o**3 - 11*o**2 + 21*o + 120. Let c(u) = 3*u**3 + 2*u**2 - 4*u - 24. Calculate -11*c(a) - 2*f(a). -a**3 + 2*a + 24 Let o(b) = 3*b**2 - 2*b + 2. Let x(f) = 12*f**2 - 15*f + 7. Let h(v) = -v**2 - v - 1. Let s(t) = -4*h(t) + x(t). Calculate 11*o(j) - 2*s(j). j**2 Let m(l) be the first derivative of -l**4/2 + 5*l - 25. Let d(a) = a**3 - 3. Determine 10*d(j) + 6*m(j). -2*j**3 Let u(r) = -21*r + 15. Let t(z) = -3*z + 2. What is 15*t(i) - 2*u(i)? -3*i Let m = 0 - -2. Let k be ((-2)/2)/(1 - m). Let h(t) = t. Let c(a) = 2*a. What is k*c(w) - h(w)? w Let o(k) = 7*k - 20 - 9*k + 16*k - 6*k**2. Let v(f) = -2*f**2 + 5*f - 7. Calculate 5*o(n) - 14*v(n). -2*n**2 - 2 Let i(b) = b**3 - b**2 - b + 1. Let k(m) = 5*m**3 - 4*m**2 - 4*m + 3. Suppose -5 = l - 1. Calculate l*i(a) + k(a). a**3 - 1 Let l(d) = d - 1. Let x(k) = -k**3 - 6*k + 10. Determine 5*l(g) + x(g). -g**3 - g + 5 Let v(j) be the second derivative of j**5/20 + j**4/6 + j**3/6 - 2*j**2 - 28*j. Let y(a) = -2*a**3 - 5*a**2 - 2*a + 9. Determine 5*v(m) + 2*y(m). m**3 + m - 2 Let r(b) = -b**2. Let j(w) = 2*w**2. Calculate -6*j(o) - 30*r(o). 18*o**2 Let a(y) = 63*y**2 + 33*y - 33. Let u(l) = 8*l**2 + 4*l - 4. What is 4*a(d) - 33*u(d)? -12*d**2 Let g(o) = o. Suppose -2*j + b + 6 = 8, 2*j + 6 = 2*b. Suppose 3*r - 16 = -r. Let s(n) = 0*n - r*n - 3*n. Calculate j*s(k) + 6*g(k). -k Let c(q) = q + 4. Suppose -5*s - 6 = -3*s - 3*f, -4 = 5*s - 2*f. Let m(h) = h - 6. Let k be m(s). Let d(r) = r + 5. Determine k*c(u) + 5*d(u). -u + 1 Let c(u) = -u - 9. Let a(j) = 2*j + 18. Calculate 3*a(n) + 5*c(n). n + 9 Let k(i) = -27*i + 3. Let d(l) = 136*l - 16. Calculate -3*d(p) - 16*k(p). 24*p Let w(o) = 8*o**2 + 5*o + 6. Let s(v) = 2 - 2*v**2 + 5*v**2 + 2*v + 0. Determine 11*s(r) - 4*w(r). r**2 + 2*r - 2 Let i(j) = -15*j**2 + 11*j - 3. Let h(l) = -7*l**2 + 5*l - 1. What is -9*h(v) + 4*i(v)? 3*v**2 - v - 3 Let g = 5 + 0. Let q(r) = r**2 + r. Let j(y) = 7*y**2 - 3*y - 5. Let o(l) = j(l) - 6*q(l). Let d(a) = -5*a - 3. What is g*d(p) - 3*o(p)? -3*p**2 + 2*p Let x(n) = -8*n - 8. Let v(q) = q - 3 + 3 + 1. Suppose 0 = 3*h - 1 - 2. Give h*x(z) + 6*v(z). -2*z - 2 Let t(w) = w**2 - 2. Let s(j) = -4*j**2 + 9. Suppose -6 = -0*q - 3*q. Let c = q + -4. Calculate c*s(h) - 9*t(h). -h**2 Let k(y) = -7*y**3 + 6*y**3 + 2 - 4 - 4*y**2 - 3*y. Let c(x) = -2*x**3 - 9*x**2 - 7*x - 4. Let h be 15/(-2)*42/35. Determine h*k(v) + 4*c(v). v**3 - v + 2 Let s(i) = i**2 + i - 1. Let b(k) = 10*k**3 + 70*k**2 + 70*k - 70. What is -3*b(r) + 210*s(r)? -30*r**3 Let s(o) = 41*o**3 - 3*o**2 + 3. Let w(n) = 206*n**3 - 16*n**2 + 16. Calculate -16*s(y) + 3*w(y). -38*y**3 Let o(d) = -7*d + 8. Let p(y) = -y + 1. Suppose -1 = -3*r + 4*n, 3*r + 2*n - 5*n = 0. Give r*o(z) + 5*p(z). 2*z - 3 Let b(m) = -m**3 - 3*m - 3. Let d(c) = 4*c**3 + 14*c + 14. Let k be 9/2 + 0 + (-39)/26. What is k*d(h) + 14*b(h)? -2*h**3 Let g be -2*(-2)/(-4) + -1. Let l(v) = 2*v + 4. Let x(s) = -2*s - 3 + 0*s + 1 - 1. Give g*l(m) - 3*x(m). 2*m + 1 Let p(m) = -m**2 - m - 1. Let x(h) = -5*h**2 - 8*h - 6. Let i(r) = 4*p(r) - x(r). Let k(c) = -2*c**2 - 9*c - 5. What is -7*i(z) - 3*k(z)? -z**2 - z + 1 Let d(i) = 2*i + 2. Let z(u) = 2*u + 2. What is 3*d(l) - 2*z(l)? 2*l + 2 Let d(f) be the first derivative of f**3/3 + 2*f**2 + 4*f - 1. Let m(c) = 2*c**2 + 11*c + 11. Calculate -11*d(h) + 4*m(h). -3*h**2 Let o(i) be the first derivative of i**4/4 - 2*i**3/3 - 2*i**2 - 4*i + 19. Let n(k) = 3*k**3 - 5*k**2 - 11*k - 11. Determine 4*n(l) - 11*o(l). l**3 + 2*l**2 Suppose 2 = -5*g - 3. Let l(o) = o**2 + 5*o - 3. Let v be l(-6). Let k(w) = 5*w**3 - w**2 + 2*w. Let m(t) = t**3 - t**2 + t. What is g*k(z) + v*m(z)? -2*z**3 - 2*z**2 + z Let q(o) = -o - 6. Let h be q(-7). Let g(k) = -18*k + 18*k + 3*k**3 - h. Let u(i) = 7*i**3 - 2. Calculate 5*g(y) - 2*u(y). y**3 - 1 Suppose d + 7 = 3*i, 4*i - 5*d + 1 = i. Let m(w) = w**3 + 3*w**2 + 4*w + 5. Let x(r) = -2*r**3 - 4*r**2 - 5*r - 6. Calculate i*x(k) + 4*m(k). -2*k**3 + k + 2 Let n(q) = -q - 6. Let l(h) = 2. Let d(t) be the first derivative of t**4/4 - t**3/3 - t**2/2 - 8*t - 2. Let v be d(0). Let s = v + 15. Give s*l(f) + 2*n(f). -2*f + 2 Let i(p) be the first derivative of -3*p + 0*p**2 - 3 + 4/3*p**3. Let c(n) = 11*n**2 - 8. Calculate 3*c(a) - 8*i(a). a**2 Let b(s) = 4*s**2 + 2*s - 9. Let u(m) = -11*m**2 - 6*m + 26. Calculate 17*b(i) + 6*u(i). 2*i**2 - 2*i + 3 Let w(s) = -8*s**2 + 8*s - 8. Let q(g) = -3*g**2 + 3*g - 3. Let m = 213 - 208. Calculate m*w(z) - 14*q(z). 2*z**2 - 2*z + 2 Let d(f) = -f**3 - f**2 + 2*f - 3. Suppose 0 = 5*s - 3 + 18. Let k(w) = -w**3 - w**2 + w - 1. What is s*k(o) + d(o)? 2*o**3 + 2*o**2 - o Let k(w) = -11*w - 4. Let a(s) = -23*s - 9. Calculate -6*a(o) + 13*k(o). -5*o + 2 Let p(o) be the third derivative of -o**5/12 - 5*o**4/24 + 5*o**3/6 - 38*o**2. Let h(x) = -5*x**2 - 4*x + 4. Give -5*h(c) + 4*p(c). 5*c**2 Let t(x) = -2*x - 1. Let q = -94 + 9
{ "pile_set_name": "DM Mathematics" }
q - 12. Is a prime? False Let i be (-3 + (0 + -3)/(-6))*6. Is 5*(-3)/i - -670 prime? False Suppose 0 = 13*m + 74120 + 40384. Let n = m - -12670. Is n composite? True Is (-1)/((4 - 1)*(-2)/57198) prime? True Let y = 176 - 173. Is y a prime number? True Let i = 328 + -540. Let s be i/4*(-21 + 0). Is ((-8)/28)/((-3)/s) a prime number? False Let b = -792 + 2303. Is b a prime number? True Let p be 2723*(10/7 + 0). Suppose 0 = -4*o + 2*o + p. Is o a prime number? False Suppose 2*f = 3*p + 86152, -5*p - 67889 = -2*f + 18267. Is f composite? True Let r = -13413 + 33806. Is r composite? False Suppose -5*m - 3*z = -75786 - 49279, 4*z = 3*m - 75039. Is m composite? False Suppose 3*n + 1797 = -531. Let a be n/(-26) + 8/52. Suppose h + 5*d - 326 + a = 0, 0 = -4*h + 2*d + 1206. Is h a composite number? True Let t = -4800 + 11923. Is t prime? False Suppose 2*k = -3*u + 2767, 4*k - 2139 = -4*u + 1553. Is u a prime number? False Let u(s) = 13*s**2 - 7. Let l(z) = 14*z**2 - z - 7. Let h(t) = -2*l(t) + 3*u(t). Is h(-4) a composite number? True Suppose 0 = -5*t + 2*u + 22841, -24*t + 2*u + 18274 = -20*t. Is t composite? False Suppose 4*u = 9*u - 9865. Is u composite? False Suppose -19*j + 18654 + 156811 = 0. Is j a prime number? False Let d = -652 + -309. Let l(p) = 113*p + 44. Let n be l(18). Let i = n + d. Is i composite? False Is (-15)/12 + 1 - (-181167)/12 a composite number? True Let t = 2002 + -425. Is t composite? True Let i = 49 + -79. Suppose -4*p - 3*t + 269 = -0, -2*t - 2 = 0. Let v = i + p. Is v composite? True Suppose 2*n = -4*t + 1004, 2*t = 5*n + 7*t - 2495. Let m be ((-4)/(-8))/(1/n). Suppose 2*y = -5*q + 605, q - 2*y + m = 3*q. Is q composite? True Let w(s) = 7*s**2 + 10*s - 4. Let v be w(9). Suppose -2*g + v = 5*i, 2*i + 349 = -0*g + g. Is g prime? False Let d = 28171 + -992. Is d prime? True Let y(r) = 143*r - 109. Is y(16) a prime number? True Let t = 3023 - 280. Is t a prime number? False Let f(u) = -u**3 - 5*u**2 + u + 7. Let y be f(-5). Let l(h) = -h**2 + 3*h + 1. Let o be l(y). Is 1/o + (-562)/(-6) prime? False Let l(f) = f**2 - f + 333. Suppose 0 = -0*u + 5*u. Let n be l(u). Is (-2 - -4) + n/1 a composite number? True Let j(n) = n**3 - 2*n. Let k(f) = f + 1. Let c be k(-1). Let o be j(c). Suppose -2*x - 2*b + 0*b + 28 = o, -b + 33 = 2*x. Is x prime? True Let h(s) = -s**3 + s**2 - 15*s - 4. Let o(z) = z**3 - 2*z**2 + 16*z + 5. Let v(n) = 2*h(n) + 3*o(n). Is v(10) prime? True Suppose 1299 - 289 = 5*m. Suppose -u + 115 = -m. Is u a composite number? False Suppose -5*o + 384 = -1671. Is o composite? True Let g be -4*5/((-20)/(-8)). Let j be ((-1)/(-4))/((-1)/g). Suppose -j*a - 62 = -4*a. Is a prime? True Suppose 18550 = -11*v + 73517. Is v a composite number? True Let k be 20/5 + 2654 - 4. Suppose -9*p + 4267 = -k. Is p a composite number? False Is 12/(-6) - -3 - -3556 a prime number? True Suppose l - 5*d + 0*d = 8637, -4*d = 2*l - 17330. Is l a prime number? False Let w be 6 + -1 + -5 + 2. Suppose 5*k - w = 13. Suppose -5*r - 3167 = -4*u, -u = 3*u + k*r - 3175. Is u a prime number? False Suppose -191*j - 1757 = -198*j. Is j a composite number? False Let w(c) = c**3 - 3*c**2 - 6*c - 2. Let k be w(7). Suppose 5*j + k = -83. Let f = 96 + j. Is f a composite number? True Suppose 4*v - 20 = -5*i, -3*v - 3*i = i - 15. Suppose 4713 = v*t + 398. Is t composite? False Let i(o) be the third derivative of -o**6/120 - 11*o**5/60 - o**4/2 - o**3/6 + 2*o**2. Suppose u + 15 = 2*r, -24 = 2*u + 3*r - 4*r. Is i(u) a prime number? True Is (-1)/(14080/(-2815) + 5) + 0 prime? True Let p(b) = b**3 + 7*b**2 + 8*b + 10. Let k be p(-4). Suppose -20 = 3*g - k. Suppose -g*t - 2*t + r = -1025, r + 768 = 3*t. Is t a composite number? False Let l(s) = 36*s**2 - 4*s - 11. Let n be l(7). Suppose 0 = x + 3*g - 232, -5*x = 3*g - n + 553. Is x prime? False Suppose -135 = 2*t + 3*v, 0 = -t - 4*t - 2*v - 354. Let q = t + 149. Suppose q + 40 = 3*z. Is z a composite number? True Let h(d) = 1211*d + 81. Is h(2) a prime number? True Let l = 36564 - 12095. Is l prime? True Let k(h) = -h**2 - 14*h - 15. Let b be k(-13). Let w(p) = -p**2 + 2. Let l be w(b). Is -14*l*85/20 composite? True Suppose 2544 = -62*b + 58*b. Is ((-1)/(4/b))/1 prime? False Let k(z) be the third derivative of z**5/12 - 7*z**4/24 - 17*z**3/6 + 34*z**2. Is k(15) a prime number? False Let u(c) = 15*c - 3*c**3 - 39*c + 4*c**3 + 8 + 16*c**2 + 0*c**3. Is u(-17) a prime number? True Let l be 643 + (1 - (-4 - -8)). Suppose -3*c + 1285 = 4*k, 0 = 5*c - 4*k - l - 1491. Is c composite? True Let l(q) = -3*q - 17. Let c be l(-8). Suppose -12*d + 15 = -c*d. Let r(n) = 6*n**3 - 2*n**2 - 2*n - 7. Is r(d) a composite number? False Let r be ((-8)/(-8))/((-1)/(-2)). Let x be (-3)/(r - 1) - -123. Let k = 319 - x. Is k a prime number? True Let c = -262 + -29. Let l = 88 - c. Is l a composite number? False Let x(b) = 5*b**2 + 4*b. Let r be x(-7). Suppose -4*k = 3*a - 521, -3*a - r = -5*k - 774. Is a a prime number? True Is 6535 + (24/42)/(2/7) a prime number? False Suppose -91*b + 111794 = -225543. Is b a prime number? False Suppose 2*d = -0*y + 2*y + 4356, 2*d - 4353 = 5*y. Is d prime? True Is -43424*21/(-98) + (-2)/14 a composite number? True Is 162/405 + (-20903)/(-5) composite? True Suppose 78*f = -2687 + 15089. Suppose 5*b - 4*a = 2*b + 131, 0 = 3*b - 3*a - 135. Suppose -f + b = -5*u. Is u a prime number? False Let j(n) = n**3 + 32*n**2 - 17*n - 21. Is j(-18) a composite number? True Let f(t) = 574*t + 11. Suppose 3*x - 4*q + 2*q = 15, 5*q + 15 = 0. Is f(x) a prime number? True Let x(a) = -3*a**2 - 13*a - 4. Let l be x(-6). Is (2 + 0)*l/(-2) prime? False Let a = 134285 - 40524. Is a prime? True Suppose 4*k = -4*b + 7812, 2*k - 3*b - 820 - 3076 = 0. Is k prime? True Let l(b) = b**3 - 12*b**2 - 12*b - 1. Let i be l(14). Suppose -w = -i - 156. Is w a composite number? False Suppose -3 = -l, 3*b - 12336 = -0*l - l. Is b a composite number? False Suppose 5*a - 3 = -3. Suppose a = -2*t + 4407 - 1409. Is t composite? False Let n(t) = -t**3 - 9*t**2 + 11*t + 14. Let u be n(-10). Suppose 1419 = u*i - 1825. Suppose -808 = -p + v, p + v + v = i. Is p composite? False Suppose -4696 = -3*u + 5675. Is u composite? False Suppose -5*x = 1706 + 204. Let l = x + 716. Is l prime? False Suppose -4*a - 22141 = -3*m, -2*a - 9926 = -3*m + 12213. Is m composite? True Is (7 + 24/(-4))/(2/2326) a composite number? False Is (129/1)/((-159)/(-10441)) a composite number? True Let o = 62 + -65. Is (1/(-3))/(o/4635) prime? False Let m = -30916 - -56003. Is m a prime number? True Let p = 7166 + -255. Is p prime? True Let m be (3/6)/(((-3)/1)/(-12)). Suppose 3*q - 2309 - 2388 = -4*p, 3134 = m*q + 4*p. Is q composite? True Let x(p) = 8 - 14 + 13 + 7*p + 2*p**2. Is x(-8) a composite number? False Let p(b) = b**3 + 2*b**2 - 5*b - 1. Let f be p(-5). Let r = 285 - 8. Let g = r + f. Is g prime? False Let d(x) = -328*x + 1. Let l = -8 + 7. Is d(l) composite? True Let b = 6 + -4. Let w be (-1 - 5751/(-15)) + (-2)/5. Suppose b*d + 0*d = w. Is d prime? True Let s(y) = -14 - y**3 + 34*y + 10*y**2 - 8 + 27*y - 65*y. Is s(7) composite? False Suppose -u - 4*u - 20 = -5*g, -3*u - g - 20 = 0. Let t be 6 - (-3)/(u/8). Is t - (3 - 5) - -90 prime? False Let d be 5064/22 + 6/(-33). Let c = d - -49. Let v = c + -92. Is v composite? True Let p(y) = 6*y + 1. Let l be p(2). Let r be 2 + 0 + l + -6. Is (-6)/r - 312/(-9) prime? False Let c = 10963 - 5889. Suppose -785 - c = -3*d. Let m = d - 1342. Is m a composite number? True Suppose -i - 2964 = -4*i. Let d be ((-1114)/14)/(34/(-238)). Let g = i - d. Is g prime? True Suppose z - g - 549 = -3*g, 5*z - 3*g = 2693. Let c = 430 + z. Is c composite? False Let q = -183 - 1806. Let o = q + 3170. Is o prime? True Suppose 5*c - 4*d - 16123 = 0, -2*c - 161 = 2*d - 6603. Is c a prime number? False Let f = -9 + 11. Suppose j - n = 0, -3*j + 3*n = j - f. Suppose 4*a + a - 514 = -3*d, d = j*a + 153. Is d a prime number? True Is (-715420)/15*(-30)/40 a composite number? False Is (-7186)/(-3)*(-2 - (1 - 6)) prime? False Suppose 9 = -2*r + 5*r. Suppose 4*z + 325 = 3*y, r*z - 6 - 9 = 0. Is y prime? False Suppose 3*k = -5*r + 7*k - 70, 0 = r - 3*k + 3. Let x be 12/r - 3784/(-6). Suppose -2*h - 3*f = f - x, 4*f + 1589 = 5*h. Is h composite? False Sup
{ "pile_set_name": "DM Mathematics" }
iple of l and q. 20 Let d = -208 + 28. Find the common denominator of 4/18 - (12826/d)/11 and 1 + -10*1/22. 110 Suppose -63*o - 1657 = -9217. What is the lowest common multiple of o and 24? 120 Let r(j) = -30*j + 10. Let l be r(-6). Suppose 5*b = l + 70. Calculate the lowest common multiple of 2 and b. 52 Let q = 4799 + -91230/19. Calculate the common denominator of -38/9 and q. 171 Find the common denominator of (-65)/(-208)*370/25 and 21/32. 32 Let z = 33017/144 - 3717/16. What is the common denominator of z and -23/224? 2016 Let c(r) = -r**3 + 10*r**2 - 14*r - 45. Calculate the least common multiple of 215 and c(7). 860 Let o = -1099 - -1103. Calculate the least common multiple of o and 296. 296 Let a = -41 - -40. What is the common denominator of 49/2 and 150/(-12) + (-1 - a)? 2 Suppose 0 = -0*f - 3*f + 4*a + 682, -4*f + 3*a = -907. Let j = 104 - f. What is the smallest common multiple of 32/56 - j/7 and 62? 558 What is the common denominator of -53 + 59 - (-184)/(-50) and 7/15? 75 Let z be 6/4*(-558)/27. Let n = -19 - z. What is the least common multiple of (-42)/(-4) - 1/2 and n? 60 Let q = 481079/4 + -4161911/36. Suppose 0 = -30*o + 9*o - 98007. Let a = q + o. Find the common denominator of a and 11/5. 45 Let f(s) = -11*s + 16. Let x be f(-4). Suppose 2*z - x = -0*z + 5*y, 0 = 3*z - 4*y - 83. What is the smallest common multiple of 3 and z? 75 Let c = -1423 + 1435. Calculate the smallest common multiple of c and 63. 252 Let a = 86633/97980 + -4/1065. Find the common denominator of 65/22 and a. 1012 Let r be (-320)/(-15) + (-8)/(-12). Suppose 4*a - r = -5*t, 3*t - 3*a + 2*a - 20 = 0. What is the least common multiple of t and 4? 12 Suppose 55 = -6*u + 17*u. Calculate the smallest common multiple of (-8)/(-6)*(-3 - -6) and u. 20 Suppose -8 = -4*a - 4*c + 8*c, 0 = -a - 2*c - 10. Calculate the common denominator of 4/(-10) + a + (-599)/(-135) and 70/33. 297 Calculate the common denominator of 65/8 and (2*6/(-84))/((-24)/(-177)). 56 Suppose 0 = -4*n + 19 + 125. Calculate the common denominator of 34/11 + -2 + 3 and n. 11 Calculate the lowest common multiple of 978 and ((-8)/5)/((-80)/400). 3912 Let a = 3 - 6. Suppose 5*z - 22 = -47. What is the lowest common multiple of 7 and z + 2 + 2 - a? 14 Suppose -4 = 2*y - 2*b + 4, 5*b = 3*y + 22. Let p be (y - -3)*88/(-7456). Let q = p - -25041/2330. Find the common denominator of q and 68/15. 30 Let u be 1086/10 + 10/25. Let v = -233/2 + u. Let c = -1/17 - 847/51. What is the common denominator of c and v? 6 Suppose -1116 = 9*t - 3*t. What is the common denominator of t/66*(-2)/4 and -73/22? 22 What is the common denominator of (-30)/1992*(-2072)/(-140) and -39/20? 1660 Let y(v) = -3*v + 23. Let b = -20 - -20. Calculate the smallest common multiple of y(b) and 9. 207 Let q(i) = -i**3 + 17*i**2 - 15*i - 11. Let b = 23 - 25. Calculate the least common multiple of q(16) and -22*1*b/4. 55 Let n be ((-6)/(-4))/(15/(-2) - -7). Let l(f) be the first derivative of -11*f**2/2 - f + 1. What is the smallest common multiple of 16 and l(n)? 32 Let v = -1/383 + -1523/3447. Calculate the common denominator of v and -24/23. 207 Suppose -51 = j - 2*f - 5, -f = 3*j + 110. Let w = j + 47. What is the lowest common multiple of w and 4/(-1 + (-7)/(-5))? 90 Suppose -2*z + 41 + 15 = 0. Suppose 3*b = 39 + 21. What is the smallest common multiple of z and b? 140 Let k be 1/(-3) - 4/(-3). Suppose -2*w + 12*w - 420 = 0. Calculate the common denominator of k/(w/57) + 1 and -31/10. 70 Calculate the common denominator of -11/6 and ((-22)/6)/(2/10)*1. 6 Let j = 6495206102797/9746 + -666448396. Let p = -2130657/9641452 + -5/21764. Let c = p + j. What is the common denominator of -97/8 and c? 88 Let b = 1701 - 1691. Calculate the smallest common multiple of 252 and b. 1260 Let i(j) = -74*j - 280. What is the least common multiple of 28 and i(-4)? 112 Let t = 2804 + -36476/13. Find the common denominator of 35/39 and t. 39 Suppose 4*c = 77 - 29. Calculate the least common multiple of c and 7. 84 Calculate the least common multiple of (-952)/(-224) + 5/(-4) + 0 and 87. 87 Find the common denominator of 67/33 and (-106)/36*(-20)/30. 297 Let v(a) = -5*a + 2. Let j(y) = 3*y - 1. Let m(t) = -5*j(t) - 2*v(t). Let w be m(2). Calculate the common denominator of 15/4 and (-10)/(-40) + w/8. 8 Let a be ((-6)/(-4)*2)/1. Suppose 2*x - 2*m = -x + 48, a*x + 2*m - 60 = 0. What is the smallest common multiple of 46 and x? 414 Let g = -15235 - -746573/49. Find the common denominator of g and -38/35. 245 Suppose 3*c = 2*j - 57, j + 8*c - 7*c = 16. What is the smallest common multiple of 45 and j? 315 Let g(k) = 3*k - 11. Let p be g(3). Find the common denominator of 1 + ((-103)/(-2))/(21/p) and -121/18. 126 Suppose -3*n - n + 3*u = -40, -n - 5*u = -10. Let g = -29313 + 29333. Calculate the lowest common multiple of g and n. 20 Suppose -31 = -3*o + k, 4*o + 0*k + 3*k - 63 = 0. What is the common denominator of -25/8 and (-1)/((-8)/o) - -9? 8 Let r = 45 - 31. Let v = -40 + 51. Let c = -9 + v. What is the least common multiple of c and r? 14 Suppose -11 = -2*y - 5*t, 3*t + 20 = 4*y - 9*y. Let p(j) = j**3 + 10*j**2 + 19*j - 4. Calculate the smallest common multiple of p(y) and 1. 10 Let i be (-11 + 9)*3/(-2). Suppose -i*k + 0*k + 60 = -2*f, 5*k - 5*f = 95. What is the smallest common multiple of k and 22? 22 Calculate the common denominator of (-3 - -2)*2*(-65)/4 and -35/131. 262 Let w = -35 + 55. Let k be (-20)/(-5) + 2*-1. Suppose -k*o - 12 = -3*o. What is the lowest common multiple of w and o? 60 Let j be (-12 - -2)/(4/(-2)). Suppose 12 = j*r - 3*r. Let o(b) = b**3 + 39*b**2 + 38*b + 16. What is the lowest common multiple of o(-38) and r? 48 Suppose j + 3*l + 43 = 0, -5*j + 2*l = -3*l + 275. Let d be (125/(-45) + 3)/((-4)/(-894)). Let a = d + j. What is the common denominator of -18/7 and a? 21 Calculate the common denominator of 25/11 and (-4)/34 - (6720/(-11169))/(-16). 2409 Suppose -4*l = -2*l + 40. Let s = l + 20. Suppose s = -z + r + 2*r - 1, -4*r = -2*z + 2. What is the smallest common multiple of z and 1? 5 Let u be (-2)/8 - (-214495)/(-19100). Let q = u - 42/191. What is the common denominator of q and (-174)/(-44) - (-4 - -1 - -2)? 110 Let k(z) = 10*z - 180. What is the least common multiple of 10 and k(32)? 140 Suppose -58*i + 65*i = 231. Calculate the least common multiple of i and 168. 1848 Let b = 10783/13 - 409713/494. Find the common denominator of 31/4 and b. 988 Suppose -5*i + 6 = -2*v, -3*i + 21 - 3 = -3*v. Let m = -2 + 3. Calculate the least common multiple of m and 10 + -3 - v/(-2). 3 Let b(t) = 3*t**2 + 9*t - 20. Let v be b(7). Calculate the common denominator of 15/11 and v/(-4)*3/(-6). 44 Let m(h) = h**2 - 9*h - 5. Let t be m(10). Suppose t*s + 20 = 0, -2*s + 96 = -5*f + 29. Calculate the common denominator of f and -32/7. 7 Let z = 23785 + -1569955/66. Calculate the common denominator of z and 74/21. 462 Let i be (-40)/(-50) + 1/5. Let s be 2 + ((-3)/(-1) - 2). Suppose 5*u - 4*a = 63, -s*u - 3*a + 26 + i = 0. What is the lowest common multiple of u and 11? 11 Let a = -308 - 295. Find the common denominator of (18/(-16) - -1)/((-9)/a) and -10/9. 72 Suppose 0 = -352*f + 350*f + 30. Calculate the lowest common multiple of 23 - (0 + 1 - 2) and f. 120 Suppose 2*t + 68 = 5*a, 4*a = 3*a - 3*t + 17. Let f(o) = 2*o**2 + 3*o + 1. Let i be f(-2). Calculate the common denominator of (10/i)/((-32)/(-8)) and a. 6 Suppose 3*u = 4*p - 26 - 15, -4*p + 47 = 3*u. What is the smallest common multiple of 3 + p - 8/(-2) and 8? 72 Let a(w) = 2*w - 8. Let y = 48 - 52. Find the common denominator of 17/7 and a(y). 7 Calculate the least common multiple of 6 and (-252)/(-15) - (-144)/120. 18 Suppose 2*m = -2*m + 32. Let g = 13 + -2. Suppose 1 = -g*h + 133. Calculate the least common multiple of h and m. 24 Suppose 24 = 5*c - 11. Calculate the common denominator of 11/10 and -4 + c - (-2 + 200/18). 90 Let f(q) = 17*q - 4. Let c be f(3). Let d = 32 + c. Let p = -55 + d. What is the lowest common multiple of 20 and p? 120 Let u = 683316035/816 - 837397. Calculate the common denominator of -37/12 and u. 816 Suppose 0 = 5*x - 25, 2*d + 23*x - 39 = 24*x. What is the lowest common multiple of 5 and d? 110 Let f(z) = -4*z - 6 + 0*z - 2*z + 3*z. Let t = -12 +
{ "pile_set_name": "DM Mathematics" }
3*c**3 + 18*c**2 + 7*c - 10. Calculate the remainder when i(3) is divided by 255. 29 Let b(h) = -h**2 + 8*h + 30. Let l(i) = i**2 + 10*i - 15. Let m be l(-12). What is the remainder when 55 is divided by b(m)? 13 Let c be -1 - ((-2)/1)/((-4)/2). Let s be (0 - 0)/(-1*c/(-1)). What is the remainder when 13 is divided by 5 - (-3 - s/((-6)/2))? 5 What is the remainder when (-1 + 6)/(71/51972) is divided by 131? 123 Let u = -28791 - -29540. Calculate the remainder when 2286 is divided by u. 39 Let f(p) = 48*p + 252. Calculate the remainder when 402 is divided by f(-5). 6 Suppose -13833 = 49*w - 23872 - 21762. What is the remainder when w is divided by 92? 5 Let v = 56 + -57. Let f be v*-6*4*(-3)/(-36). Suppose -y - j + 111 = 0, 3*y - j - 327 = -f*j. What is the remainder when y is divided by 37? 34 Let m = -13535 - -20479. Calculate the remainder when m is divided by 23. 21 Calculate the remainder when 429 is divided by ((-1)/3)/((-6)/396*(-9)/(-9)). 11 Let g = -30821 - -30836. What is the remainder when 2170 is divided by g? 10 Let r = 69 - -165. Suppose r = 11*j + 25. What is the remainder when 282 is divided by j? 16 Let o(h) = 167*h - 1015. Calculate the remainder when o(8) is divided by 18. 15 Suppose s - 88038 = -106*s - 295*s. What is the remainder when s is divided by 97? 25 Let d be -25 - ((-4)/1)/4. Let j = 32 + d. Calculate the remainder when -2*2/4*(-1112)/j is divided by 36. 31 Suppose 5*s = -2*y + 20, 5*s = -0*y + 3*y - 5. Let a be 0/(0 + (-5 + 3 - -1)). Calculate the remainder when (0 - a) + (-256)/(-8) is divided by y. 2 Suppose -5*s - 33 = -b, 0 = 27*s - 30*s - 12. What is the remainder when 14 is divided by b? 1 What is the remainder when 333 is divided by (160/(-36))/20 + 443/9? 39 Let p be 0 + 3 + -21 + 17. Let l = 61 + -38. Calculate the remainder when l is divided by (-1*(17 + -3))/(-1 + p). 2 Let d be ((-12)/(-10))/(4/10). Suppose 123 = -0*c + d*c. Calculate the remainder when c is divided by ((-264)/(-220))/((-228)/(-4370)). 18 Let j(m) be the first derivative of 11*m + 1/2*m**2 + 11. Calculate the remainder when 4 is divided by j(-8). 1 Let y = -1229246 - -1229333. Suppose 5*h - 22 = 148. Calculate the remainder when y is divided by h. 19 Let i(v) = -v**3 + 5*v**2 + 8*v - 9. Let x be i(6). Calculate the remainder when 9 - (-63 - (-1242)/(-46)) is divided by 62/x + 4/(-6). 19 Calculate the remainder when 4/14 + (-365125)/(-889) is divided by 25. 11 Let b be (-427)/21*33 - 5. Let k = b - -873. What is the remainder when k is divided by (-101)/(-2) - (-3)/(-6)? 47 Suppose h = -4*m + 3*h + 16, m + 2*h + 1 = 0. Suppose 13 = m*w + 61. Calculate the remainder when 20 is divided by -1*(0 - 6) + 48/w. 2 What is the remainder when -2 - (-1 + (-1 - 253)) is divided by (6396/26)/41 - -37? 38 Suppose 12*f - 19*f = -609. Suppose -1330 = f*b - 97*b. Calculate the remainder when b is divided by 39. 16 Let p(q) = 3*q + 60. Let r be p(-20). Suppose 6*h - 448 - 176 = r. What is the remainder when h is divided by 53? 51 Suppose 0 = -0*m + 5*m. Suppose 3*f - 4*f + 32 = m. Suppose 6*n - 11*n = -60. Calculate the remainder when f is divided by n. 8 Let j(v) = -80*v - 25. What is the remainder when 94 is divided by j(-1)? 39 Suppose -k + 19*k - 1116 = 0. Let h(i) = i**3 - 12*i**2 + 2*i + 14. Calculate the remainder when k is divided by h(12). 24 Let a = 2716 + -2328. Calculate the remainder when a is divided by 191. 6 Let v = 10866 + -10698. Calculate the remainder when 333 is divided by v. 165 Suppose -y - 2*z + 69 + 705 = 0, -5*y + 2*z + 3894 = 0. What is the remainder when y is divided by 36? 22 Suppose 176442 = 78*l + 61080. Calculate the remainder when l is divided by 29. 0 Suppose 89*s - 60*s - 29319 = 0. Calculate the remainder when s is divided by 46. 45 Let f(q) = -7*q**2 - 33*q + 3. Let v = -411 - -408. Calculate the remainder when 115 is divided by f(v). 37 Suppose 5*d - 11343 = n, 3*d + 9060 = 7*d + 4*n. What is the remainder when d is divided by 18? 0 Let s = -254 + 606. Suppose 5*n - s = -2*o, -o + 0*n + n = -162. What is the remainder when o is divided by 14? 12 Let m(s) = -7*s**2 + 7*s - 6. Let y be m(1). Let l(a) = -11*a - 8. Calculate the remainder when l(y) is divided by 10. 8 Let l(g) = g**2 - 10*g + 4. Let w be l(16). Let a(i) = i**3 - i. Let d be a(2). Suppose -d*o + 4*o = -w. What is the remainder when 198 is divided by o? 48 Let w be ((-122)/(-2))/(2 - (-30)/(-18)). Suppose -1491 = -6*b - w. Calculate the remainder when b is divided by 55. 53 Suppose -m + 25108 = 5*m - 2*m. What is the remainder when m is divided by 40? 37 Suppose 0*t = -32*t + 128. Suppose t*n - 101 - 575 = 0. What is the remainder when n is divided by 17? 16 Let s = 3513 - 2481. Suppose -11*g = 32*g - s. What is the remainder when 71 is divided by g? 23 Suppose 12*j = 5*j + 315. Suppose -24 = 42*l - j*l. Suppose 9*m - l*m - 112 = 0. Calculate the remainder when m is divided by 38. 36 Let h = -8763 - -8847. Calculate the remainder when 465 is divided by h. 45 Suppose 5*c = 16*g - 12*g + 4397, -5*c = -5*g - 4400. What is the remainder when c is divided by 80? 77 Let z be (0/(-2) + -2)/((-25)/50). Suppose 2*x = -2*q + 74, -78 = -2*x + z*q - 7*q. Calculate the remainder when 92 is divided by x. 26 Let v = -66 + 70. Suppose 2*z + x = 5, -v*z + 9 = 4*x - x. Calculate the remainder when -1 + 6/18 + 140/z is divided by 12. 10 Let v(s) = 7*s**2 + 58*s - 247. What is the remainder when v(4) is divided by 51? 46 Calculate the remainder when ((-18)/15)/((-2)/(-2) - 1476/1435) is divided by 1/4 - 536/(-32). 8 Let a(o) = -20*o - 11. Let s(v) = -13*v - 7. Suppose 4*i = 5*i - 8. Let u(q) = i*s(q) - 5*a(q). Calculate the remainder when 16 is divided by u(-3). 5 Let t(g) = -48*g - 18. Let v(i) = i**3 - 2*i**2 - i - 36. Calculate the remainder when t(-6) is divided by v(5). 32 Let n = -6908 - -7021. What is the remainder when 587 is divided by n? 22 Suppose 30*h + 54*h = 4*h + 1200. Calculate the remainder when 583 is divided by h. 13 Let v = 14705 + -14667. What is the remainder when 298 is divided by v? 32 Let j = 382 - 369. Let b(p) = p**3 - 13*p**2 + 6*p - 65. What is the remainder when 35 is divided by b(j)? 9 Suppose 5*d - l + 41 = 0, 5*l + 19 = -3*d - 0*l. Let u(s) = -14*s - 19. Let z be u(d). Let g = -31 + z. What is the remainder when g is divided by 7? 6 Suppose 0 = -g - g + 4*k + 30, 3*k - 27 = -3*g. Let v be -1 - 2*(-355)/(-10). Let t = v + 78. Calculate the remainder when g is divided by t. 5 Let k(c) = -4*c**3 - 4*c**2 - 5*c. Let w(t) = -5*t**3 - 3*t**2 - 4*t. Let z(x) = -4*k(x) + 5*w(x). Calculate the remainder when 116 is divided by z(-1). 6 Let n = -63 - -538. Suppose -71 = -7*r + n. What is the remainder when r is divided by 12? 6 Let r(g) be the first derivative of g**4/4 - 8*g**3/3 - 25*g**2/2 + 15*g + 13. Let o be r(10). What is the remainder when (-2268)/o - (-1)/5 is divided by 23? 19 Calculate the remainder when (2 - 6896/6)/((-47)/(2961/42)) is divided by 11. 5 Calculate the remainder when 1361 - (-22 - (-391)/17)/((-2)/(-14)) is divided by 93. 52 Suppose 109 + 2003 + 492 = 14*b. What is the remainder when 2579 is divided by b? 161 Suppose 7*x = 15*x - 488. Let r(a) = -a - 15. Let m be r(8). Let q = m + 31. What is the remainder when x is divided by q? 5 Suppose 13703 - 5994 = 47*w - 6767. Calculate the remainder when w is divided by 215. 93 Let m be ((-38)/(-114))/(1/72). Suppose m*w - 20*w = q - 73, -4*q = w - 207. Calculate the remainder when 56 is divided by q. 3 Let k(q) = 27*q - 4. Let h(u) = -5*u**2 + 29*u + 7. Let b be h(6). What is the remainder when 44 is divided by k(b)? 21 Let z(o) be the third derivative of o**5/20 + 11*o**4/6 + 10*o**3/3 + 22*o**2. What is the remainder when z(-18) is divided by 41? 36 What is the remainder when 45/120 + ((-3901)/(-8) - 1 - 1) is divided by 475? 11 Let n = -2952 + 3021. Let l(r) = -r**3 - 19*r**2 - 14*r - 39. Calculate the remainder when l(-19) is divided by n. 20 Suppose 0 = -3*k + n - 274, 4*n = -2*k - 0*n - 206. Let r = -139 - k. Let o = 155 + r. What is the remainder when o is divided by 30? 19 Suppose 8*u = -u + 36. Let n(c) = 3*c + 6*c - 5*c - u - c**2 + 3*c. What is the remainder when 15 is divided by n(5)? 3 Let w = -2992 + 4773. What is the remainder when w is divided by 22? 21 Let g(f) =
{ "pile_set_name": "DM Mathematics" }
losest to -1? (a) g (b) 1/6 (c) -0.2 c Suppose -2*j = j + 24. Let g = -438267/350620 - 2/87655. Which is the nearest to -0.1? (a) g (b) j (c) -5 a Let m(d) = d**2 - 82*d - 523. Let w be m(-6). What is the closest to 0 in w, 7/6, 8? 7/6 Let a = 4429 + -4430. What is the closest to -3 in 0.5, 4/3, -2, a? -2 Let o = -5 + 5.5. Let l(x) = -8*x + 28. Let m(c) = 2. Let p(a) = l(a) + 12*m(a). Let w be p(6). What is the closest to w in o, 4, -0.2? 4 Let h be ((-6)/4)/(-32 - -8)*-2. Let o = 157 + -157.5. Let y = -46 + 137/3. Which is the nearest to -2/17? (a) o (b) h (c) y b Let r = 9700 + -67899/7. Which is the closest to -2/253? (a) 0.06 (b) r (c) -2 a Let r = -2/33237 + -99701/166185. Which is the nearest to r? (a) 2/19 (b) 0.1 (c) 1 (d) -1/3 d Suppose -23*x + 18*x - 3*m - 10 = 0, 2*x - m - 7 = 0. Which is the nearest to x? (a) 2/13 (b) 0.061 (c) 3/7 c Let t = -26206 - -26206.5. Which is the nearest to 1/4? (a) 0.63 (b) t (c) 7 b Let n = 12033 - 12037. Which is the closest to -0.1? (a) -17/5 (b) n (c) 5 (d) 2/97 d Suppose -28259 + 28196 = 21*g. Which is the closest to -43? (a) g (b) -0.5 (c) 2 (d) 1/4 a Suppose -4*x - o = 1857, -5*x - 4*o + 461 = 2796. Let m = x + 7873/17. What is the closest to -9 in m, 3, 1/4? m Let v = 38.7 + -364.7. Let f = v - -326. What is the nearest to 1/3 in -2/5, 0.12, f? 0.12 Suppose p + 13 = 5*d, -1 = d + 59*p - 58*p. Which is the closest to 1/4? (a) d (b) -0.04 (c) -22 b Suppose 2*o = -3*m - 295, -o - 151 = 24*m - 22*m. What is the nearest to -2 in o, -0.2, -18? -0.2 Let k = -4870 + 14609/3. Let p = 13 + -14. Let h be (-4)/(-14) - 68/(-56). Which is the nearest to k? (a) p (b) 0 (c) h b Let p = -22 + 21. Suppose 159 = 18*h + 33. What is the nearest to 2 in -4, p, h? p Let d = 0.3 - 0.6. Let h = -109891 + 109891.1. What is the nearest to h in d, 4, -2? d Let v be (-5 + 6)*10/(-6). Let z = v - -2. Let f = -2948 + 2950. Which is the nearest to f? (a) z (b) -2 (c) -5 a Let r = 1093.5 + -1093.4. What is the nearest to r in -3/7, 33, 0.4? 0.4 Let f = 1175.1 + -1058. Let u = f - 117. What is the nearest to 0.1 in -3, u, 0.2? u Let t = 13.87 + 0.13. Let a = 0.2 + -0.1. Let d be 7/20 + ((-18)/(-60) - (-168)/(-160)). What is the closest to d in t, a, 3? a Let s(i) = i**2 + 3*i. Let m be s(-3). Suppose -12*d + 10*d - 6 = m. Let t be (-3)/(-5) - (d - (-54)/15). Which is the nearest to t? (a) -6 (b) 5 (c) 0.1 c Let r be ((-901)/51)/(7/3). Let k = r + 311/42. Let p(l) = -l + 3. Let m be p(0). Which is the closest to 3? (a) -2/7 (b) m (c) k b Suppose 67*h + 9 + 435 = -44*h. Let o = 3.93 - 4. What is the closest to 1 in h, o, 5? o Let q = -1135 - -17027/15. Which is the closest to -0.1? (a) -2/25 (b) q (c) -5 (d) -4/5 a Let x(t) = -t**3 + 8*t**2 - 22*t + 29. Let u be x(4). Let w = -56 - -56.1. Which is the closest to 1/2? (a) 0 (b) u (c) w c Let l = -3989.6 + 3990. Which is the closest to -0.09? (a) l (b) -1/7 (c) -46 (d) -3 b Suppose 4*s + 74 = -106. Let j be 3/1 + 165/s. What is the closest to 1 in 4, j, 5? j Suppose q - 21 = -5*q + 5*w, -5*w = -5*q + 20. Which is the closest to q? (a) -2.5 (b) -0.3 (c) 0.3 c Let m be (84/(-140))/(15/(-25)). Which is the closest to 7? (a) 4 (b) m (c) 0.1 a Let s = 236 + -416. Let a be s/400*(-4)/3. Let x = -1 - -1/2. What is the nearest to a in x, 2/9, -2? 2/9 Suppose 98*r = 61*r + 2701. Which is the nearest to 1? (a) -1/6 (b) 1.1 (c) r b Let l be (-8)/(3 - -77)*-10 + -1. What is the nearest to l in 86, -1, 1/3? 1/3 Let y be 38/(-152)*(24/5 - 4). Which is the nearest to -21? (a) 2/35 (b) y (c) 3/5 (d) 3/2 b Let o = -0.15 + -0.15. Suppose 14*p + 380 - 408 = 0. What is the nearest to 0.1 in o, p, -2/17? -2/17 Let u be (-22)/187 - (-52)/(-136). Let b be (-108)/72 - 133/(-86). What is the nearest to u in b, -5, 1/5? b Let g = -14333 + 14332.9. What is the closest to 0.044 in 0.2, g, 0? 0 Let k = 25.1 + 1.9. Let p = -30 + 25. Let y = -0.063 + 5.063. Which is the closest to 0.1? (a) k (b) y (c) p b Let t = 0.019 + -0.019. Let w(m) = -10*m - 59. Let l be w(-6). Which is the nearest to 2/3? (a) t (b) -2/7 (c) l c Let t = 3.054 + -2.954. Let l = -117 + 116. Let x = -2 - -1. Which is the nearest to l? (a) -0.01 (b) t (c) x c Let a = 191.85 + -197.85. What is the closest to a in -2/13, 7, 4, 1? -2/13 Let n = 967/889 + -120/127. Which is the nearest to 4? (a) -5 (b) -7 (c) n (d) 5 d Let r be (-10)/2 + 3 + (7 - 7)/13. What is the nearest to r in -5, 1.1, 1.37? -5 Let j = -2101 - -2103. Which is the nearest to 0? (a) 0.1 (b) j (c) 1/3 (d) -1.7 a Let c = 13.35 + -15.7892. Let q = 0.0492 + c. Let h = q - 0.61. What is the nearest to 0.1 in h, 0, 1/6? 1/6 Let v = 24167.5 - 24168. Let x be (9 + -11)*3/(-8). Which is the closest to 3/124? (a) -3/5 (b) x (c) -4 (d) v d Let n = 3116 - 3115.9. Which is the nearest to n? (a) 13 (b) 3/4 (c) 5 (d) -1 b Let g be 1/7*-1*(-2589 + 2596). Let f = 7 + -7.3. Let x = 0.1 - f. What is the closest to g in -2/13, 1/5, x? -2/13 Let s = -2714 - -2700. What is the nearest to -2 in 3/2, 0, s, -7? 0 Let n = 3854 + -3845.4. Which is the nearest to -0.1? (a) 7 (b) 2 (c) -0.5 (d) n c Let r be 61/(-28) + 188/(-329). Which is the closest to -2? (a) r (b) 3/4 (c) -1/3 a Let s = -1 + -4. Let g be 4654/546 - 2/3 - 8. Let y = -25.7 + 29.7. What is the closest to y in g, s, 1? 1 Suppose -9 = 2*g - 4*q - 17, 3*g - 12 = -2*q. Suppose 1 = -x - n, g*n + 19 = x - 5. Which is the closest to 1? (a) -1 (b) -1/9 (c) x b Suppose 0 = 2*z + 14*l - 10*l - 18, -2*z = -l - 13. Let q = 3 + 13. Let m be 12/(-18)*6/q. Which is the closest to 0.1? (a) 0.5 (b) z (c) m c Let z = -3/19 - -25/38. Let i = -31.4 + 31. Let a = 2860/9 - 318. What is the nearest to z in 3/5, i, a? 3/5 Let i = -147.489 + 1.289. Let o = 146 + i. Let q = 1.3 + -3.3. What is the nearest to o in -3, -4/3, q? -4/3 Let h = 14565 - 14571. What is the closest to -0.1 in 4, h, 0, 1/48? 0 Let l = 10414 + -10413. Which is the nearest to l? (a) 1.8 (b) 3/2 (c) 4 (d) 10 b Let l = 27581 - 27581.2. Let d = -9 - -8.5. What is the nearest to 0.05 in -0.4, d, -1/6, l? -1/6 Let q = -88/743 - -1007/2229. What is the nearest to 0.1 in q, 2/5, -0.3, 39? q Let s be (-9)/(-132) + (-4)/308*-14. What is the nearest to s in -2, -0.4, 3/8, 22/3? 3/8 Let i = -532/1355 + -2/271. Let z(o) = o**2 + 6*o + 6. Let s be z(-3). Which is the closest to 1? (a) i (b) 88 (c) s a Let b = 197/21 + -29/3. Let p be (9/((-378)/12))/(396/231). What is the nearest to b in 4, p, -3? p Let z(i) = 242 + 0*i - 298 - 20*i - i**2. Let t be z(-17). Which is the closest to -2? (a) -0.5 (b) t (c) -2/13 a Let t = -101.52 - -101.42. Let n = -5 + 4. Which is the closest to n? (a) 1/5 (b) t (c) 2/3 b Let i = 882.1 + -885.1. Which is the nearest to 7? (a) 0.3 (b) 1/3 (c) -0.15 (d) i b Let t = -856 - -2573/3. Let q = 0.5 - 0.4. Let p = q + -0.2. Which is the closest to p? (a) 0.6 (b) -5 (c) t a Let u = -439.1 + 439. Let h = 0.08 - -0.22. Let x = -0.7 - h. What is the closest to 0 in 0.4, u, x? u Let v = 4.007 - 3.96. Let m = 971 - 972.047. Let q = m + v. Which is the nearest to 0.1? (a) 4 (b) -5 (c) q c Let s = 0.1 + 0.1. Let c = -4.475 + 3.475. What is the closest to 0 in s, 2/13, c? 2/13 Let s = 202 + -201. Let z be s/((-171)/(-324) - (-2)/9). Let m = -2/257 - -536/2827. What is the closest to m in -2, z, -1/3? -1/3 Let i(s) = -124*s + 623. Let v be i(5). Let o = 14.8 - 15. Which is the closest to v? (a) -0.1 (b) 0.4 (c) o b Let k = -5 + 8. Let h = k - 2.9. Let s = -16.7 - -20.7. Which is the nearest to h? (a) s (b) 2 (c) 0 c Suppose d - 4 = 2. Let v = 20/3 - d. Let l = 909.5 + -910. What is the closest to 0 in -5, l, v? l Let z = 802 - 804. Which is the closest to z? (a) -6 (b) 1 (c) -1/8 c Let h = -13.61 - 1.39. Let m = -14.98 - h. Which is the closest to 1? (a) -1/2 (b) m (c) -2 b Let k = 0 - -1. Let r = -4.405 + 0.205. Let t = r + 4.2. Which is the closest to k? (a) t (b) 0.08 (c) 0.5 c Let c = 4456 + -4446. What is the closest to 3 in -1/5, -0.4, c? -1/5 Let n = 6 - 2. Let y = n + -1. Let w = 709/3 + -704/3. What is the closest to 2/5 in y, 0.2, w? 0.2 Let u = -3929 - -3929.1. Which is the nearest to u? (a) -4 (b) 3 (c) -9 (d) -4/5 d Let w = -0.167 -
{ "pile_set_name": "DM Mathematics" }
rms in 0 - 9*t**2 + 254*t**2 + 0 - 91*t**2. 154*t**2 Collect the terms in 0*n**2 + 34364*n**3 - 2*n**2 - 34340*n**3. 24*n**3 - 2*n**2 Collect the terms in -1150*y**2 - 710*y + 710*y - 10 + 11 - 1. -1150*y**2 Collect the terms in 367*i - 1 - 8 + 17 + 376*i - 736*i. 7*i + 8 Collect the terms in -27 - 24 + 4*x**2 - 30 + 103 - 22 + 8*x**2. 12*x**2 Collect the terms in 1867 - 11064*g - 8307*g + 2902*g - 1867 - 935*g. -17404*g Collect the terms in -13695759 + 6*n**2 - 13695751 + 41087266 - 13695756. 6*n**2 Collect the terms in 56859*b - 31903*b + 155183*b. 180139*b Collect the terms in -185984*c**3 + 557850*c**3 - 185944*c**3 - 185937*c**3 + 0*c**2 + 0*c**2. -15*c**3 Collect the terms in -6975*q**2 - 6071*q**2 + 12126*q**2 - 3*q + 3*q. -920*q**2 Collect the terms in -348 - 167 + 8*b**3 - 3*b**2 + 515. 8*b**3 - 3*b**2 Collect the terms in 457*l - 5*l**3 + 3*l**3 - 5 - 518*l + l**3. -l**3 - 61*l - 5 Collect the terms in 102269*d**2 - 4 - 102316*d**2 + 4 + 0. -47*d**2 Collect the terms in -27 - 95 - 5*j**3 + 492 - 370. -5*j**3 Collect the terms in 14*u**3 - 2*u**3 + 6*u**3 + 12*u**3 + 3*u**3 - 15*u**3. 18*u**3 Collect the terms in 185*w**2 + 17*w**2 + 10*w - 217*w**2 + 22*w**2. 7*w**2 + 10*w Collect the terms in -8*k**2 - 10*k**2 - 237 - 11*k**2 + 28*k**2 - 5*k**2 + 237. -6*k**2 Collect the terms in 208*j - 100*j + 4 - 53*j - 4 - 60*j. -5*j Collect the terms in -9384595234*k**3 + 4692297627*k**3 + 4692297608*k**3. k**3 Collect the terms in 19176*v + 2203*v**2 - 19176*v. 2203*v**2 Collect the terms in 83 - 64*x + 2*x**3 + 85 + 106 - 283. 2*x**3 - 64*x - 9 Collect the terms in 809*x**2 + 145*x**2 + 109*x**2 - 1064*x**2. -x**2 Collect the terms in -1259 - 49326*c + 1259 + 49324*c. -2*c Collect the terms in 3151147 + 3*a - 3151147 + 10*a**2. 10*a**2 + 3*a Collect the terms in 403*q**2 + 15447 - 2281 + 411*q**2 + 2*q - 816*q**2. -2*q**2 + 2*q + 13166 Collect the terms in -2*h**2 + 2*h**2 + 8196530*h + 109*h**3 + 350*h**3 - 8196530*h. 459*h**3 Collect the terms in -48 - 2216*v**3 + 25 + 23. -2216*v**3 Collect the terms in 3296077 - 1647775 - 1648302 + 2*c. 2*c Collect the terms in -7 - 2980*j + 744*j + 740*j + 759*j + 763*j + 65. 26*j + 58 Collect the terms in 9*b**3 + 1490 + 1007 - 2497. 9*b**3 Collect the terms in -2405097*t**3 - 3*t + 3*t + 1202559*t**3 + 8 - 8 + 1202540*t**3. 2*t**3 Collect the terms in 101*o**3 - 98*o**3 - 96 + 128*o**3 + 24*o**3. 155*o**3 - 96 Collect the terms in -138 - 36 - 5*s + 173 + 4*s. -s - 1 Collect the terms in -2 - 3 - 97*o + 8*o - 434*o. -523*o - 5 Collect the terms in -3*v - 4*v - 4*v - 11*v + 24 - 3*v. -25*v + 24 Collect the terms in -3955*v - 1562*v - 2*v**2 + 5517*v. -2*v**2 Collect the terms in 301401296 - 301401296 - 61*p. -61*p Collect the terms in 12*p**2 - 43*p**2 + 5*p**2 + 16*p**2 + 10*p**2 - 619341*p**3 + 619342*p**3. p**3 Collect the terms in -14*m + 22*m**2 + 5*m + 74*m + 100*m**2 - 26*m**2. 96*m**2 + 65*m Collect the terms in 1378*b + 2096*b - 164*b**3 - 3474*b. -164*b**3 Collect the terms in -2*s + 2*s + 1335*s**3 + 35434*s**3. 36769*s**3 Collect the terms in -218 - 74604*n**2 + 218 + 74687*n**2. 83*n**2 Collect the terms in -147*m + 2*m**2 - 138*m - 529*m + 814*m. 2*m**2 Collect the terms in -178299109 + 178299109 - 10*r**2. -10*r**2 Collect the terms in -1245*f - 38 + 2586*f + 1839*f. 3180*f - 38 Collect the terms in -4079*y**2 - 6949*y**2 + 3648*y**2 - y. -7380*y**2 - y Collect the terms in -23*a + 1079 - 4*a**3 + 457 - a**3 + 8*a**3. 3*a**3 - 23*a + 1536 Collect the terms in 4588719*y - 2162444*y + 6980224*y. 9406499*y Collect the terms in -1639*b**2 + 1292*b**2 + 6*b**3 - 1653*b**2 + 0*b**3. 6*b**3 - 2000*b**2 Collect the terms in 327*k - 7462 - 5570 - 326*k + 2631. k - 10401 Collect the terms in 7907*i**2 + 7934*i**2 - 1587*i**3 - 15841*i**2. -1587*i**3 Collect the terms in 17*m**3 - 46*m**3 - 373*m - 96*m**3 - 180*m. -125*m**3 - 553*m Collect the terms in -11866*p**3 - 54101*p**3 - 4657*p**3. -70624*p**3 Collect the terms in -10*b + 54 + 16*b + 5*b - 9*b - 8. 2*b + 46 Collect the terms in -50*h**2 + 37 + 42 + 638*h**2 + 252*h**2 + 213*h**2 - 80. 1053*h**2 - 1 Collect the terms in 2226 + 2215 + 2212 + 2215 - 11081 + 2213 - 7*t**3. -7*t**3 Collect the terms in -1 + 2 + 3984*d**3 - 421*d**3 - 1. 3563*d**3 Collect the terms in 3 + 60*j**3 + 55*j**3 + 467*j - 109*j**3 - 467*j. 6*j**3 + 3 Collect the terms in -160 + 687 - 19*v - 255 - 272. -19*v Collect the terms in 12*q**3 - 380*q + 1524*q - 383*q - 376*q - 385*q. 12*q**3 Collect the terms in 22*u - 90*u**2 - 22*u - 12 + 12. -90*u**2 Collect the terms in 2404*k**3 + 2206*k**3 + 7191*k**3 + 5828*k**3. 17629*k**3 Collect the terms in -6 + 175*h - 517*h + 176*h + 147*h. -19*h - 6 Collect the terms in -3616*i + 3631*i + 154 + 86. 15*i + 240 Collect the terms in -1173*n**3 - 1184*n**3 - 1168*n**3 - 1385*n**3 + 6077*n**3 - 1164*n**3. 3*n**3 Collect the terms in 683923 + 14*w - 683923. 14*w Collect the terms in -18*r + 3*r - 1 + r + 25*r + 33*r. 44*r - 1 Collect the terms in -639*m**2 + 258*m**3 - 236*m**3 + 166*m**2. 22*m**3 - 473*m**2 Collect the terms in -644*z - 594*z + z**2 + z**2 + 1238*z + 1209 + 0*z**2. 2*z**2 + 1209 Collect the terms in -3*x**2 + x**3 - 28*x**3 - 8872714 + 5*x**2 + 8872717 - 2*x**2. -27*x**3 + 3 Collect the terms in 58530857983*u**3 + 58530857985*u**3 - 117061715974*u**3. -6*u**3 Collect the terms in 10*p + 3*p - 18*p - 96 - p - 28*p. -34*p - 96 Collect the terms in 118 + 138 - 9557*i + 9555*i. -2*i + 256 Collect the terms in -65*d - 33*d + 5037*d**2 + 101*d. 5037*d**2 + 3*d Collect the terms in 58120 - 83*w - 57*w**2 - 58120 + 113*w. -57*w**2 + 30*w Collect the terms in 53 + 56 + 2*b + 52 - 8*b - 103 - 53. -6*b + 5 Collect the terms in -1346*c**3 - 90657535608 + 90657535608. -1346*c**3 Collect the terms in 2 + 0 + 67*r + 526*r - 3. 593*r - 1 Collect the terms in -315 + 2*t**2 + 146 + 136 + 72 + 72. 2*t**2 + 111 Collect the terms in -83169 + 41599 + 2*u + 41570 + u. 3*u Collect the terms in -7*j - 21913886 + 4*j + 21914009. -3*j + 123 Collect the terms in 349850*g**2 + 0*g - 124920*g**2 + 2*g + 134408*g**2. 359338*g**2 + 2*g Collect the terms in 187*w + 186*w - 1149*w + 190*w + 184*w + 390*w. -12*w Collect the terms in 1 - 59*a**2 + 73*a**2 + 5 - 8. 14*a**2 - 2 Collect the terms in -17*i + 2*i**2 + 357*i**3 + 5*i**2 + 11*i - 7*i**2. 357*i**3 - 6*i Collect the terms in 29*g**3 + 37 - 35 - g**2 - 20*g**3. 9*g**3 - g**2 + 2 Collect the terms in 89*w**2 - 510*w**2 - 122*w**2 + 240*w**2 - 569*w**2. -872*w**2 Collect the terms in -38317*f - 70116*f + 40168*f - 63764*f. -132029*f Collect the terms in 227*s**2 - 71*s**2 + 41*s**2 - 56*s**2. 141*s**2 Collect the terms in 14*u + 10*u - 24*u - 361199*u**3. -361199*u**3 Collect the terms in 12*j**2 + 218 - 8*j**2 - 446 + 231. 4*j**2 + 3 Collect the terms in -5128*n**2 - 95466 + 95466 + 5124*n**2. -4*n**2 Collect the terms in -481 - 497 + 1474 + 9792*z - 496. 9792*z Collect the terms in 12795837*n - 6390573*n - 6405266*n. -2*n Collect the terms in -102 - 207*k**2 - 124*k**2 - 10 + 333*k**2. 2*k**2 - 112 Collect the terms in -749*s**3 - s**2 + s**2 + 759*s**3 + 8301. 10*s**3 + 8301 Collect the terms in 3401*m + 2095 - 1589*m + 16330*m - 2094. 18142*m + 1 Collect the terms in 696*h**2 + 14084 - 28055 + 13971. 696*h**2 Collect the terms in -4*p**2 - 13*p - 3*p**3 + 4*p - 19*p**2 + 9*p. -3*p**3 - 23*p**2 Collect the terms in 3522*b - 1302*b + 4853*b + 2386*b - 238*b. 9221*b Collect the terms in -5 + 19 - 14 + 1693491*p. 1693491*p Collect the terms in -63 - 109 - 3 + 6*w - 41. 6*w - 216 Collect the terms in 0*f + 37305144*f**3 - 37305135*f**3 + 0*f. 9*f**3 Collect the terms in -3098321 + 2*o - 3098426 + 6196771. 2*o + 24 Collect the terms in -3893*r + 3893*r - 6*r**3 - 31 + 17. -6*r**3 - 14 Collect the terms in 783 + 421 + 4*o**3 + 4*o**3 - 9*o**3. -o**3 + 1204 Collect the terms in 38*z + 76 - 130 - 34*z + 50. 4*z - 4 Collect the terms in -9 + 100*q - 56*q - 17*q**3 - 20*q + 10 - 24*q. -17*q**3 + 1 Collect the terms in 309952050715 - 309952050715 + 139*s. 139*s Collect the terms in -6*b + 2*b**3 - 2118 + 13*b - 10*b**3 - 40*b + 2118. -8*b**3 - 33*b Collect the terms in 185698 - 44*v**2 - 92985 - 92713. -44*v**2 Collect the terms in 862*q**2 + 75*q - 865*q**2 - 174*q**3 - 75*q - 332*q**3. -506*q**3 - 3
{ "pile_set_name": "DM Mathematics" }
p + 25. Is l composite? False Let l(r) = 3*r**3 + r**2. Let o be l(-1). Let h be 2/(o/3)*-1. Suppose 5*i + 4*q - 245 = 0, -i - 4*q + 196 = h*i. Is i a composite number? True Let y(r) = 53*r. Is y(1) a composite number? False Suppose 2134 = 4*r - 3*q, 2677 = -0*r + 5*r + q. Is r a prime number? False Is 1657/(4 + -1 + -2) prime? True Suppose q - 27 = 4*w, 4*q - 2*q = 6. Let b = -4 - w. Is 2*(b - (-135)/6) composite? True Suppose 0*s + 344 = 2*s. Suppose -y = 3*y - s. Is y composite? False Let y(r) = r**3 - 2*r**2 - 2*r. Let t be y(2). Is (2935/20)/((-1)/t) a composite number? False Let c = 168 + -80. Suppose 4*y = 2*y. Suppose 4*f + y*f - c = 0. Is f a composite number? True Suppose 3*v + 4*s - 5*s - 902 = 0, s = -v + 302. Let z = v - 162. Is z a prime number? True Let r be (7/1)/((-10)/20). Is 4/r - (-2742)/42 composite? True Suppose 944 = 2*c - 0*c. Suppose -c = 5*l - 1487. Is l a composite number? True Suppose 2*x = 3*x - 5. Suppose 6*u + x = 7*u. Suppose h = -u + 36. Is h a prime number? True Let f be (1 - -7)/(2 + 0). Suppose f + 0 = h. Suppose -2*k + 0*k = -h, -5*z = k - 327. Is z a composite number? True Let s(y) be the second derivative of -y + 0 + 1/3*y**4 - 5/6*y**3 + 2*y**2. Is s(3) a prime number? False Let x = -49 - -192. Is x prime? False Let o be -1*(-1 + -1 + 0). Is (-4 - -3)/o*-382 prime? True Suppose -4 = -5*u + 6. Let h be u + 88/(-1) - -2. Let c = h - -161. Is c prime? False Suppose -4*g = 2*l - 1190, -4*g - l + 340 + 849 = 0. Let w = g + -176. Is w composite? True Let z(c) = -180*c - 1. Let a be z(1). Let i = a - -470. Is i a prime number? False Suppose -2*p + 1516 = 2*p. Is p a prime number? True Let b be -573*((-8)/6)/2. Suppose 0 = 4*v - 2*v - b. Is v composite? False Suppose -793 = -5*t + 262. Suppose -5*b - 15 = 0, -4*o + 0*b - 3*b + t = 0. Is o composite? True Suppose -c = 5 - 166. Is c composite? True Let v = 413 + -264. Is v prime? True Let o(g) = 38 + 44 + g**3 + 3. Let m = 0 - 0. Is o(m) prime? False Suppose 2*v = -v + 93. Is v prime? True Suppose -4*h + 8*h = 1004. Is h a prime number? True Let g = 20 + -18. Let u be 1 + (-2 + 479 - -2). Suppose -2*h + 174 = 4*x, 3*x + g*x + u = 5*h. Is h composite? True Let i(q) be the third derivative of q**5/20 - 5*q**4/24 - q**3/6 + 4*q**2. Is i(6) prime? False Suppose 6*l = 2*l + 268. Is l a prime number? True Let s be 2 + -172 + 2/1. Suppose -8*c - 5*p + 1225 = -3*c, -2*p - 735 = -3*c. Let j = s + c. Is j a prime number? False Let b(n) = 6*n**3 - 10*n**2 - 8*n - 7. Let c(q) = -q**3 + 1. Let u(x) = -b(x) - 5*c(x). Suppose -23 = -3*r + 7. Is u(r) a prime number? False Let h = -145 + 214. Is h composite? True Let x = 2 - 3. Let a be 3 - (0 + x + -1). Suppose 0 = 4*r + 5*s - 37, -a*r = -7*s + 4*s. Is r prime? True Suppose -3*w + 2*w = -10. Let b(k) = k**2 - k + 1. Is b(w) a composite number? True Let n(h) = 119*h**3 - 3*h**2 + 2*h. Suppose 2*t + 5*w + 18 = 0, 0 = 3*t - 5*w - 28 + 5. Is n(t) composite? True Let f = -340 + 531. Is f prime? True Let l be 2/(-6)*-3 + 3. Suppose l*b - 65 = 71. Is b composite? True Let f(t) = -t**3 + 2*t**2 - t + 2. Let b be f(3). Let p be b/(-35) - 264/(-7). Is p + (-7 + 2 - -2) a composite number? True Suppose 5*t - 3*t = 3*s + 359, 0 = -3*t + 3*s + 540. Is t a composite number? False Suppose 4 = -q + 6. Suppose q*j - j + 2 = 0. Is 631/j*4/(-2) prime? True Is ((-758)/(-4))/(3/6) prime? True Let u(m) = m**2 + 8*m - 12. Let g be u(-9). Is (g - -1)/(16/(-1528)) a composite number? False Suppose -2*h - 2*h - 5*v - 44 = 0, 3*h + 22 = -v. Let a = h + 10. Suppose -a*g - g = -745. Is g composite? False Suppose -9*k - 1902 = -44355. Is k a prime number? False Let u(b) = 4*b**3 + 39 + 0*b + b**2 + b - 5*b**3 + 38. Suppose s = -s. Is u(s) a prime number? False Suppose -4*d - 3*x = -511, 607 = 5*d + 4*x - 32. Is d a composite number? False Let l(o) = 2*o**2 + 9*o + 2. Is l(-7) a prime number? True Let z(j) = 24*j**2 - 3*j + 3. Let a be z(-4). Suppose n - a = -2*n. Suppose -3*i + n = -68. Is i a prime number? True Let i = -622 - -936. Suppose 0*l - i = -2*l. Is l a composite number? False Let q = -421 - -684. Is q prime? True Let a = 106 - 35. Is a a prime number? True Let b(j) = 26*j**2 + 2*j + 2. Let a be b(-3). Suppose 0 = -21*k + 19*k + a. Is k composite? True Is (-1650)/(5/(-1)) + -1 composite? True Let a(f) be the second derivative of -f**3/2 + f**2/2 + 2*f. Is a(-3) composite? True Let z(d) = 115*d**3 - d**2 + d + 1. Let w be z(-1). Let r = -25 - w. Is r a composite number? True Is (9/(-6))/((-6)/2228) composite? False Suppose -236 = -j - 13. Suppose 2*z = -j + 633. Is z composite? True Is (0 - 1023)*(14/(-6))/7 prime? False Let h = -9 + 122. Is h a prime number? True Suppose -4*w - 19188 = -1152. Let a be 2/(-3*6/w). Suppose -5*i + a = 16. Is i a composite number? False Suppose 5*f - 2*f - 141 = 0. Is f composite? False Suppose 2*l = 7 - 3. Suppose -y - 2*h - 2*h + 95 = 0, -l*y = -h - 235. Is y composite? True Let v = -15 + 28. Suppose -5 - v = -t - 2*o, -80 = -4*t - 4*o. Is t a composite number? True Suppose -4*y + 2*d + 80 = 0, 0 = -2*y + 6*y + d - 86. Let h = 32 - y. Is h prime? True Suppose -4*x + 72 + 3484 = 0. Is x composite? True Let p(t) = -t**2 + 5*t - 4. Let c be p(5). Let i be 10*(3/(-2))/(-1). Let u = i + c. Is u a prime number? True Suppose 2*l + 1235 = 7*l. Let j = -170 + l. Is j a composite number? True Let b = 4 - -6. Let w = 25 - b. Is w a composite number? True Let a(p) = p**3 - 8*p**2 + 5. Let w be a(8). Suppose q = b + 19, 2*q + w*b = -q + 73. Is q a composite number? True Let b(v) = -v**2 + 5*v - 3. Let z be b(3). Let p = 78 - -256. Suppose -z = -2*u + 1, -u + p = 4*s. Is s prime? True Let r(x) = -6*x + 1. Let m be r(1). Let u = 2 - m. Is u a composite number? False Suppose c = 4*c - 2*x - 12559, 5*c = 2*x + 20933. Is c prime? False Let q(h) = -5*h**3 - 2*h**2 - 4*h - 1. Let k be q(-3). Suppose -3*r + k = -139. Is r a composite number? False Let x(s) = s**3 + 0*s**3 - s - 2*s**3 - 6 + 6*s**2 - s. Suppose 0*j + 10 = 2*j. Is x(j) a prime number? False Let g(j) = -2*j - 1. Let r(i) = i**2 - 2*i. Let o be r(4). Let p be g(o). Let s = p - -27. Is s composite? True Suppose 0 = 3*y + y - 8. Is (-499 + 0/y)/(-1) a composite number? False Let l be ((-3)/3)/((-3)/15). Suppose 4*n - l*c + 1202 = 0, 5*n + 1480 = -3*c - 2*c. Let h = n - -437. Is h prime? True Is 1*(-7971)/(-27) - (-2)/(-9) a composite number? True Let x be 658*(-2 + 3) + 3. Suppose -x = -5*f - 226. Is f composite? True Let v = -70 + 98. Let j = 75 - v. Is j composite? False Let v(y) = -y**2 + 491. Is v(0) composite? False Let c(m) = -m**3 + 5*m**2 + 7*m - 16. Is c(5) a prime number? True Is 6/(-14) + 8346/21 a prime number? True Let y(q) = 2*q. Let p be y(3). Let x(d) = -d**2 + 5*d - 6. Let o be x(2). Is ((-3)/p - o)*-94 composite? False Suppose -4*x + 68 = 5*k - k, 4*k + 3*x = 63. Let o(y) = y - 4 + 3 - k*y. Is o(-4) prime? True Suppose m - 351 = 122. Let c = -310 + m. Is c composite? False Is (-382)/(-16)*-2*-4 a prime number? True Let o be 1/(-3)*(0 + -9). Suppose g - 5*k + 14 = 0, k = o*k - 8. Let q(x) = x + 1. Is q(g) a prime number? True Suppose -m = 7 - 11. Suppose -m*w + 264 = -w. Let x = w - 21. Is x a composite number? False Suppose -3*x + 2*x = -40. Let u = 267 + x. Is u a prime number? True Let r(h) = -17*h**3 - 5*h**2 + 6*h - 7. Is r(-6) composite? False Let x = 12 + 23. Is x*1*(4 - 3) prime? False Suppose z = -2*q - 0 - 10, -2*q + 98 = -5*z. Let g be (3/(-4))/(2/(-72)). Let y = g + z. Is y a composite number? True Let m(x) = x**2 - 3*x + 2. Let c be m(4). Is (c/4)/((-2)/(-76)) a composite number? True Let f(l) = l**3 + 25*l**2 + l - 11. Is f(-24) composite? False Let f(g) = 2*g**2 + 12*g - 17. Let t(h) = -h**3 + 2*h**2 + 5*h. Let m be t(4). Is f(m) prime? True Let n be (-35)/(-20) - (-2)/8. Suppose 0 = n*z + z - 1005. Is z a composite number? True Let a be (-1)/4 + (-767)/4. Let f = a + 281. Is f a prime number? True Let q = 70 + 23. Let h = 132 - q. Is h composite? True Let q(h) = -h**3 - h**2 + 2*h - 2. Suppose -3*y = -d - 0 + 4, y - 2*d = 7. Is q(y) prime? False Suppose 11*j = 10*j + 2521. Is j prime? True Let v(l) = 12*l**2 - 5*l - 4. Let c(t) = 12*t**2 - 6*t - 5. Let a(s) = -2*c(s) + 3*v(s). Is a(-3) a prime number? False Let f(n) = 9*n - 1. Let r be f(3)
{ "pile_set_name": "DM Mathematics" }
c) = -2*c**2 - 28*c + 4. Calculate the lowest common multiple of d and l(-14). 36 Let d(q) = -q**3 - 3*q**2 + 4*q + 10. Let c be d(-4). Suppose 6*a - c*a + 12 = 0. Calculate the lowest common multiple of 3 and a*(0 - 8/(-12)). 6 Let p = -27938017897/3888 - -7185704. Let z = p - -1/243. Calculate the common denominator of -41/16 and z. 16 Let s = -7/2068 - 101/141. Calculate the common denominator of s and 55/27. 1188 Suppose -4*p = -p - 60. Suppose p = -u - 4*u. What is the least common multiple of 6 and u/(-26) + 1792/182? 30 Suppose 952 = 49*t - 616. Calculate the lowest common multiple of 124 and t. 992 Suppose -17388 = -66*a + 12*a. What is the smallest common multiple of 22 and a? 3542 Let h = -1 + 10. Find the common denominator of -69/10 and ((-2)/14)/(1/h). 70 Let i(p) = 34*p + 221. Suppose -2*y = 5*g - 38 + 4, 4*g = 16. What is the least common multiple of i(-6) and y? 119 Let o = -2729 - -859. Let u be 4/18*((-101691)/(-4))/(-3). Let m = u - o. Find the common denominator of m and -67/2. 6 Let i be 8/6*15/10. Suppose -i*s = 2, 4*o = -2*s - 2*s + 4. Suppose -d = -68 + 52. Calculate the lowest common multiple of o and d. 16 Let w = 1 + 9. Calculate the lowest common multiple of 7 + 5 + -3 + -5 and w. 20 Let x = 744 + -444. What is the lowest common multiple of x and 120? 600 Let t = 53 - 49. Let o be (-3)/(-15) + (-44)/(-5). Let i = -5 + o. Calculate the least common multiple of t and i. 4 Suppose 0 = -9*q + 8*q + 50. Suppose 0 = 3*z + 5*d - 61, 4*z - 10 = 4*d + q. Let r = z + -1. What is the lowest common multiple of r and 20? 80 Let r(l) = -13*l**3 - l**2 + l + 6. Let k be r(4). Calculate the common denominator of (-14)/(-35) + k/(-80) and -25/4. 8 Let k be (-842)/(-14) - 1/7. Suppose 2*y + k = 7*y + 5*l, -5*y + 3*l + 60 = 0. What is the smallest common multiple of 6 and y? 12 Let b = 4955/4 - 1223. Let k = 31 + -39. What is the common denominator of k/(-12)*149/4 and b? 12 Let w = 1851/2 - 891. Let g be 0 + (-6)/8*33. Let c = g + 769/28. Find the common denominator of w and c. 14 Suppose 12*i + 20*i = 9856. What is the lowest common multiple of i and 11? 308 What is the common denominator of 1051/520 - 130/(-845) and 58/45? 360 Suppose 2*t + 4 = s - 0*s, 5*t = 3*s - 16. Suppose 234 + 6 = 3*u. Suppose -4*k + 70 = -2*r, -3*k - u = -8*k + 4*r. What is the least common multiple of k and s? 60 What is the common denominator of 85/(-3)*(-9)/(-6) and 31/(2 - -3 - -5)? 10 Let p be (-2)/(((-15)/170)/3). Let y = p + -62. Calculate the least common multiple of y and 10. 30 Suppose 4*f + 5*q - 46 = -0*f, -4*q - 50 = -3*f. What is the lowest common multiple of 506 and f? 3542 Let z = 0 + 0. Suppose -3*n = -4*j - 23, z = 2*n - j - 3*j - 22. What is the lowest common multiple of n and 6? 6 Calculate the common denominator of 67/272 and 4/(-40)*1510/(-12). 816 What is the common denominator of (-21)/(-36)*42/(-4) and (-438)/12 + -3 + 2? 8 Suppose 0 = 3*k - 0 - 195. Calculate the least common multiple of k and 55. 715 Let s = -1135779/8 - -140693. Let l = -1269 - s. Let p = -12991 + 181781/14. Find the common denominator of l and p. 56 Suppose 8 = -0*u + 4*u. Suppose u*w = -3*d + 54, -w + 2*w - 77 = -4*d. Calculate the smallest common multiple of d and 14. 140 Let k = 5 - -3. Suppose -k*o + 3*o + 50 = 0. What is the smallest common multiple of o and 12? 60 Let c = 804593/30 - 26817. What is the common denominator of -17/50 and c? 150 Suppose -2*a = -0*a. Suppose a = -3*o - 717 + 123. Find the common denominator of (6/o)/((-2)/177) and -43/4. 44 Let d be (-182)/15 - (-6)/45. Calculate the least common multiple of 22 and 24 + (-3)/(d/(-8)). 22 Let r = 358 + -759/2. Find the common denominator of (5/(-20))/((-2)/198*2) and r. 8 Let h = 405 - 383. What is the smallest common multiple of h and 68? 748 Calculate the common denominator of 1/36 and 226/(-180)*(-7)/((-252)/30). 108 Let d be (-10996)/84040*136/(-8086). Let h = d - 6/20215. Let a = h + -123983/12606. Calculate the common denominator of a and -91/2. 6 Let d(p) = 0*p - 11 + 19 + 2*p**2 - 3 - p. What is the least common multiple of 28 and d(3)? 140 Let d = -7324 - -73147/10. Let y = -21527/9 + 2400. Calculate the common denominator of y and d. 90 What is the smallest common multiple of 230/40 - (-3)/12 and (-6)/(-5)*10/4? 6 Suppose 0 = -2*a - 0*a + 3984. Let l = 4083/2 - a. Calculate the common denominator of l and 1 - -1*(-95)/(-2). 2 Suppose -37 = 2*p - u, 2*p + 34 = 2*u - 4*u. Let f(q) = -2*q**2 - 27*q - 8. Let d be f(-14). Let z = p - d. What is the smallest common multiple of z and 22? 44 Calculate the common denominator of (-338)/50*(-10)/12 and ((-203406)/32732)/((1 - 2) + (-25)/(-7)). 60 Let q = 8770472/14723 + -318902303035/526612264. Let z = q + -2/4471. What is the common denominator of -91/2 and z? 8 Let j = -7 + 10. Suppose -x = f + 2, 0 = -6*f + 2*f - 5*x - 13. Calculate the smallest common multiple of j and f. 3 Let q = -10853/462 + 556/33. Find the common denominator of 50/(-24) - (-3)/(-4) and q. 42 Let m(a) = 19*a - 15. Find the common denominator of m(3) and ((-1)/4)/(9/(-40)). 9 Let z = 9568/825 + 2/825. What is the common denominator of z and (-1590)/1836 - 2/9? 170 Let l(c) = -c**3 + 7*c**2 + 20*c - 14. Let a be l(9). Calculate the common denominator of -13/33 and (13/195)/(a/314). 330 Let r = 472 + -454. Let c(o) = o**2 + 3*o + 6. Calculate the smallest common multiple of c(-5) and r. 144 Let a(l) = l**3 + 7*l**2 + 5*l - 7. Calculate the least common multiple of a(-5) and (-574)/(-24) - (-108)/1296. 72 Let p = -3/121 + -2653/363. Let t = 9854 + -39417/4. Find the common denominator of p and t. 12 Suppose 88 = s - 157. What is the smallest common multiple of s and 77? 2695 Suppose -g - 6 = -6. Suppose -35 = -5*o + 5*z, g*z + 3*z + 12 = 0. Calculate the lowest common multiple of o and 74. 222 Let n(f) = -9*f - 14. Let b be n(-16). Find the common denominator of -105/52 and b*((-3)/1 + 262/88). 572 Suppose -51 = 5*z + 4*y, 0 = -0*z + 3*z + 2*y + 31. Let n = 20 + z. What is the least common multiple of 10 and n? 90 Let p be (-3439)/57 - 2/(-6). Find the common denominator of (-128)/p - 2*1/(-2) and 37/27. 135 Suppose -223 = -5*x + w, 5*w - 120 = -3*x + 25. What is the smallest common multiple of 33 and x? 495 Find the common denominator of ((-4)/(-18))/((-6)/(-99)) and 41/15. 15 Let q be 48/8 - (2 + 2). Find the common denominator of -24/55 and -1 + (q - (-177)/(-50)) + 1. 550 Suppose 0 = 4*r + 8, -3*r - 39 = 2*s - 201. Calculate the smallest common multiple of 24/s + 234/14 and 7. 119 Let h be ((-261)/18)/(1/2). Let q = h - -65. What is the lowest common multiple of 12 and q? 36 Let u = 2337 - 3357. Let t be 6/45 - 8984/u. Let j = t - 214/119. What is the common denominator of j and -52/3? 21 Calculate the smallest common multiple of 55 and 570/12 + 7 - 1/(-2). 55 Suppose -2*y - 4*d + 44 = -0*y, 0 = -3*y + 2*d + 42. Let q = -10 + y. Calculate the smallest common multiple of q and 7. 42 Let a(g) = g**2 + 7*g - 104. Calculate the smallest common multiple of a(9) and 220. 440 Find the common denominator of 10/20 + (-27)/60 + 0 and -9/14. 140 Find the common denominator of (56/144)/((-4)/(-30)) and -37/51. 204 Let p be 26/6 + 3/(-9). Suppose -p = z - 5*s, -z - 5*s = 4*z - 70. Let h(y) = y - 33. Calculate the least common multiple of h(39) and z. 66 Suppose 6758 = 4*r + 63026. Let q = r - -759469/54. What is the common denominator of q and -137/12? 108 Let k be (-8)/(-8) - (-1 - -6). Let j = -2/1977 + 65257/15816. Find the common denominator of 73/(-8) + 4/k and j. 8 Let o = 6 - 2. Let x be (6/o)/((-12)/(-36536)). Let y = x + -45783/10. Find the common denominator of 21/2 and y. 10 Let n = -3268 + 363. Let r = 3639025/1253 - 863/179. Let z = r + n. What is the common denominator of -43/9 and z? 63 Suppose -2*c + 0*a = 2*a - 11960134, 4*c - 23920284 = 4*a. Let s = c - 209337421/35. Let f = s + 1001. Calculate the common denominator of 83/4 and f. 140 Let n be 4/42*565/30. Let t = 395/42 - n. What is the common denominator of t and -3 + (-4)/(208/(-18))? 234 Let w be ((-16)/10)/(2/(-5)). Let x = -779 + 1163. What is the least common multiple of 20 and 6/w*x/36? 80 Suppose 0*x = x - 6. Let w(r) = r**3 + 10*r**2 + 2*r - 5. Let b be w(-10). Let j = b + 35. What is the least common
{ "pile_set_name": "DM Mathematics" }
inator of -56/8075 and 43/378335? 35941825 Calculate the lowest common multiple of 268430 and 5032. 39727640 What is the smallest common multiple of 1389768 and 43980? 6948840 Calculate the least common multiple of 109847040 and 57212. 109847040 What is the common denominator of 73/22 and 75/9301318? 102314498 Calculate the common denominator of -137/5358 and -30/64543. 18201126 Calculate the lowest common multiple of 49792 and 116700. 3734400 Calculate the smallest common multiple of 524964 and 6180258. 135965676 What is the smallest common multiple of 6 and 425727117? 851454234 Calculate the least common multiple of 1752 and 2592. 189216 Find the common denominator of -11/216846 and 145/61956. 433692 Calculate the lowest common multiple of 102102 and 146. 7453446 Calculate the common denominator of 18/121 and 51/3018730. 33206030 What is the smallest common multiple of 55 and 1901645? 20918095 Find the common denominator of -163/60510 and 103/1038. 10468230 Find the common denominator of 7/4526026 and 37/70. 158410910 What is the least common multiple of 37465666 and 49427? 37465666 Calculate the common denominator of 111/8748350 and 37/10062. 78735150 What is the common denominator of 67/9149718 and 73/312? 475785336 Find the common denominator of -1/953234 and 149/438. 2859702 Calculate the smallest common multiple of 8825043 and 511. 61775301 What is the common denominator of -11/58 and 45/885148? 25669292 What is the common denominator of 29/10112095 and 3/100? 202241900 What is the smallest common multiple of 9716922 and 160? 777353760 Calculate the common denominator of 29/21674574 and -7/36124290. 108372870 Find the common denominator of 18/50639315 and -9/50. 506393150 Calculate the common denominator of 19/685536 and -103/301254. 930272352 Find the common denominator of -62/9815637 and -29/25285. 49078185 What is the least common multiple of 12 and 86129616? 86129616 What is the least common multiple of 1560177 and 17161947? 17161947 What is the common denominator of 167/359700 and -43/244596? 6114900 What is the smallest common multiple of 74680 and 20742370? 82969480 Find the common denominator of -53/41390972 and 133/30708. 372518748 What is the common denominator of 93/190808 and 99/162104? 168101848 Calculate the lowest common multiple of 37570 and 27850. 104632450 Find the common denominator of 83/917892 and -127/972. 2753676 What is the common denominator of 99/634450 and -67/2855025? 5710050 Find the common denominator of 149/1306760 and -18/24053. 87552920 What is the common denominator of 65/192639033 and 137/24? 1541112264 Calculate the common denominator of 73/2310504 and 37/2380. 11552520 Calculate the smallest common multiple of 12978 and 1023204. 316170036 What is the lowest common multiple of 21128 and 10054287? 80434296 What is the least common multiple of 2390864 and 49610428? 198441712 What is the smallest common multiple of 123276 and 254380026? 508760052 Find the common denominator of -107/81972 and 8/8053749. 32214996 Calculate the common denominator of -19/282552 and -139/4379556. 8759112 Find the common denominator of 103/12656 and 23/14552818. 116422544 Calculate the least common multiple of 3355562 and 48552. 684534648 Calculate the lowest common multiple of 6879706 and 68797060. 68797060 Calculate the lowest common multiple of 22872 and 1852632. 1852632 What is the common denominator of 43/944300 and -63/2000? 18886000 What is the lowest common multiple of 218694 and 249936? 1749552 What is the smallest common multiple of 2 and 19565480? 19565480 Calculate the common denominator of 15/14248 and -31/1297218. 710875464 Find the common denominator of -45/5254883 and -3/86. 451919938 What is the lowest common multiple of 26620 and 1430? 346060 What is the common denominator of -23/9693348 and 61/14028? 9693348 What is the smallest common multiple of 2461331 and 214747? 31997303 Calculate the common denominator of -121/4410 and 40/393421. 35407890 What is the common denominator of -77/52072200 and 61/69429600? 208288800 Calculate the smallest common multiple of 38757960 and 430644. 38757960 Find the common denominator of -71/39489950 and -91/45. 355409550 What is the lowest common multiple of 46311559 and 583? 509427149 What is the least common multiple of 95879 and 371? 5081587 Find the common denominator of 122/1239315 and 89/67599. 3717945 What is the lowest common multiple of 25198950 and 17639265? 176392650 Find the common denominator of 36/53577095 and -82/15. 160731285 Calculate the common denominator of -115/7641942 and -31/694722. 7641942 Calculate the common denominator of -41/4020 and -7/852. 285420 Calculate the smallest common multiple of 528800 and 100. 528800 Calculate the lowest common multiple of 1034450 and 1673375. 56894750 What is the least common multiple of 82 and 210371? 420742 What is the common denominator of -10/4057 and -67/117620544? 117620544 Calculate the common denominator of 119/1254 and 115/203406. 42511854 What is the lowest common multiple of 105561 and 62766? 2322342 What is the common denominator of 14/779 and 56/3881643? 159147363 What is the common denominator of -31/1334 and -19/4312? 2876104 Calculate the common denominator of -29/248460 and -47/34834092. 174170460 What is the common denominator of 83/172066680 and -103/920? 172066680 Calculate the least common multiple of 679383 and 1305. 3396915 What is the least common multiple of 10414788 and 144? 124977456 Calculate the common denominator of -63/84831956 and 51/401023792. 4411261712 What is the least common multiple of 40694460 and 5360? 162777840 What is the lowest common multiple of 907770 and 453885? 907770 What is the least common multiple of 36124 and 31198? 686356 Calculate the lowest common multiple of 42179148 and 46865720. 421791480 Find the common denominator of 53/6340866 and 1/645. 31704330 What is the lowest common multiple of 36875736 and 135211032? 405633096 Calculate the common denominator of 21/3905 and 7/3875. 3026375 Calculate the least common multiple of 3100 and 112925250. 225850500 Calculate the least common multiple of 91126 and 1685831. 3371662 Calculate the common denominator of -49/117798 and 79/8961. 12133194 Find the common denominator of -25/1270478 and 25/11434302. 11434302 Find the common denominator of 127/13338 and 65/107684. 718144596 Calculate the lowest common multiple of 99 and 102668013. 1129348143 What is the lowest common multiple of 15210 and 700740? 118425060 Calculate the smallest common multiple of 6580194 and 692652. 13160388 What is the lowest common multiple of 704 and 123760? 5445440 Calculate the least common multiple of 590216 and 217448. 4131512 What is the common denominator of -149/10920 and 61/9480? 862680 What is the lowest common multiple of 1390700 and 58826610? 588266100 What is the least common multiple of 186 and 2994528? 92830368 What is the lowest common multiple of 590696 and 68? 10041832 Calculate the common denominator of 5/4538364 and 83/42. 31768548 What is the lowest common multiple of 4248828 and 5311035? 21244140 What is the common denominator of 57/1276 and -91/26032836? 286361196 What is the smallest common multiple of 334776 and 4980? 138932040 Calculate the common denominator of 33/1092400 and 47/13381900. 53527600 Calculate the least common multiple of 25507162 and 406165. 127535810 Calculate the common denominator of -121/329672 and -137/6640536. 46483752 Find the common denominator of -55/378 and 79/748692. 2246076 Calculate the least common multiple of 46 and 3078984. 70816632 What is the common denominator of -31/8979560 and 121/38705000? 1122445000 What is the common denominator of 9/887440 and -5/687766? 27510640 What is the common denominator of -41/17044819 and -36/20143877? 221582647 What is the least common multiple of 11 and 8833820? 97172020 Find the common denominator of 101/80 and -55/64635184. 323175920 Find the common denominator of -83/36 and 115/1631532. 4894596 What is the lowest common multiple of 1316628 and 2004? 1316628 Calculate the smallest common multiple of 72662 and 28628828. 28628828 Find the common denominator of 46/229406849 and -20/3. 688220547 Calculate the common denominator of 59/155 and 2/10197265. 316
{ "pile_set_name": "DM Mathematics" }
n ascending order. -1563, -0.27, 3 Sort 1, 754, -13, 4 in decreasing order. 754, 4, 1, -13 Put 3, 1857, -2, -4 in increasing order. -4, -2, 3, 1857 Sort -1, -5, -12, -6, -10 in decreasing order. -1, -5, -6, -10, -12 Put 1, 2, 16, -2, 4, 0 in decreasing order. 16, 4, 2, 1, 0, -2 Put 0.15, -2/9, 5, -42, -0.05, 1/6 in decreasing order. 5, 1/6, 0.15, -0.05, -2/9, -42 Put 1, 3, 48, -7 in ascending order. -7, 1, 3, 48 Sort 88.2, 1, -10, -0.1. -10, -0.1, 1, 88.2 Put 1, -351, -19, 0.5, 1.6, -0.4 in ascending order. -351, -19, -0.4, 0.5, 1, 1.6 Sort -11, -4, -5, 3, -288 in increasing order. -288, -11, -5, -4, 3 Sort -1/3, -5, 1, 326.7, -1. -5, -1, -1/3, 1, 326.7 Put 69, -2, 13, 29 in descending order. 69, 29, 13, -2 Put -1/2, -4, 4, -3, 0.03, -3.3 in descending order. 4, 0.03, -1/2, -3, -3.3, -4 Sort 1, 3, -5, -4, -1328 in increasing order. -1328, -5, -4, 1, 3 Sort 2322, 3, 0 in increasing order. 0, 3, 2322 Put -7, 5, 1607, 1/5, 1/4 in increasing order. -7, 1/5, 1/4, 5, 1607 Sort -3, -0.1, 106, 7, -2, 3 in ascending order. -3, -2, -0.1, 3, 7, 106 Sort 4, -57, -8, 0, 3, 9 in increasing order. -57, -8, 0, 3, 4, 9 Sort 0.5, -2, -0.5, 0.1, -0.7466 in ascending order. -2, -0.7466, -0.5, 0.1, 0.5 Put 10, 122, -3, 4 in decreasing order. 122, 10, 4, -3 Sort 5, 1/25, -5, -23.2, 3, 1/3. -23.2, -5, 1/25, 1/3, 3, 5 Put 3, -4, -17, -3, -158, -2 in descending order. 3, -2, -3, -4, -17, -158 Put -0.2, 3, 1/108, -5, -282 in increasing order. -282, -5, -0.2, 1/108, 3 Sort -315/4, -5, -1, 1/4 in decreasing order. 1/4, -1, -5, -315/4 Put 78855, 0, 7 in ascending order. 0, 7, 78855 Put 0.1, -4, 1/44, 0.62, -1, 5 in descending order. 5, 0.62, 0.1, 1/44, -1, -4 Put 4, 3, 83, 991 in decreasing order. 991, 83, 4, 3 Sort -3, -35, -139, 3. -139, -35, -3, 3 Sort 19, 0, 112, 3. 0, 3, 19, 112 Sort -7, -9, -108, -3 in ascending order. -108, -9, -7, -3 Sort 0, -9, -2, -1, -8 in ascending order. -9, -8, -2, -1, 0 Put -2, -4/7, -223, -0.13, 2/5 in increasing order. -223, -2, -4/7, -0.13, 2/5 Put 6651, 0.2, -2/7, -2/11, 2/9, 3 in descending order. 6651, 3, 2/9, 0.2, -2/11, -2/7 Put 28.1, 4, -756/11 in descending order. 28.1, 4, -756/11 Put -1, 3, 0, -1509205 in decreasing order. 3, 0, -1, -1509205 Sort 0, 1.184, -2/13, 3/5, 2.1. -2/13, 0, 3/5, 1.184, 2.1 Put 2, -115, -4, -1506 in descending order. 2, -4, -115, -1506 Sort 4, -1, 3454 in increasing order. -1, 4, 3454 Put 32, -5, -12, 0, 1 in ascending order. -12, -5, 0, 1, 32 Sort -4, 0.4, 2416.1, -1 in ascending order. -4, -1, 0.4, 2416.1 Put 2705, -14, 3, -4, 1 in increasing order. -14, -4, 1, 3, 2705 Put 4, -426, 256 in ascending order. -426, 4, 256 Put -9809, 5, 9, -0.3 in decreasing order. 9, 5, -0.3, -9809 Put -1, 1/4, -18, 3, -48/11, 4/13 in increasing order. -18, -48/11, -1, 1/4, 4/13, 3 Sort -10349, 3, -1, 1 in ascending order. -10349, -1, 1, 3 Sort 0.1, -5, -1.016, -3, -0.4, 1/5 in descending order. 1/5, 0.1, -0.4, -1.016, -3, -5 Put 2, -1, -27, 5, 99 in increasing order. -27, -1, 2, 5, 99 Sort -1/5, 0.4, 12/23, -13, 1, -1.6. -13, -1.6, -1/5, 0.4, 12/23, 1 Sort -3, 2, 76095. -3, 2, 76095 Sort 3/5, 0.3, 8058.9, -1, -0.5 in ascending order. -1, -0.5, 0.3, 3/5, 8058.9 Sort -134, -13, -5, 1/2 in increasing order. -134, -13, -5, 1/2 Put -3, 8, -494, 5 in ascending order. -494, -3, 5, 8 Sort 1/10, 1, 0.25, -0.3, -0.1. -0.3, -0.1, 1/10, 0.25, 1 Sort -105, 3, 13, -45. -105, -45, 3, 13 Sort -846, -27, 2 in descending order. 2, -27, -846 Put -7, 71, -122 in descending order. 71, -7, -122 Put -131/2, 12, -9 in decreasing order. 12, -9, -131/2 Put -5/4, 17, -34, 2/15, 0.4 in increasing order. -34, -5/4, 2/15, 0.4, 17 Sort -212, 1, -160, 6 in descending order. 6, 1, -160, -212 Sort -4, 3, 128, -13, 1/7 in descending order. 128, 3, 1/7, -4, -13 Put 85, -2, -5, 0 in descending order. 85, 0, -2, -5 Sort 68, -3, -2, -1, 0, 5 in decreasing order. 68, 5, 0, -1, -2, -3 Sort 62.4, 3, 28/5, 2/7 in decreasing order. 62.4, 28/5, 3, 2/7 Put -26, -1283, 4 in decreasing order. 4, -26, -1283 Sort -3/10, 0.1, -4/7, 0.09, 4 in descending order. 4, 0.1, 0.09, -3/10, -4/7 Put 13, 84, 0, 1, 5 in decreasing order. 84, 13, 5, 1, 0 Sort 7.43, 7, -3, 0.1. -3, 0.1, 7, 7.43 Sort 5, 8, -4, 43, 3 in ascending order. -4, 3, 5, 8, 43 Put 0.4, -66, 0.5, 3, -1/22, 0.3 in ascending order. -66, -1/22, 0.3, 0.4, 0.5, 3 Put 1/2, -0.3, 1, -1.8, -3.982 in decreasing order. 1, 1/2, -0.3, -1.8, -3.982 Sort -3/5, 0.09, -149, -0.2, -2. -149, -2, -3/5, -0.2, 0.09 Put 4, 0, -3, -2, 63, -5 in descending order. 63, 4, 0, -2, -3, -5 Put 0, 77, -1/3, 2/15, -2/7, 0.071 in decreasing order. 77, 2/15, 0.071, 0, -2/7, -1/3 Sort 2931, -3, 1/5, 22, -4 in ascending order. -4, -3, 1/5, 22, 2931 Put 0.5, 0.3, -1, -1/3, 1/8, 7910 in descending order. 7910, 0.5, 0.3, 1/8, -1/3, -1 Put 3, -2349, -5, 2 in descending order. 3, 2, -5, -2349 Put 42, -666, 1, -2 in decreasing order. 42, 1, -2, -666 Sort 3/5, 0.008, 0, -5/4 in decreasing order. 3/5, 0.008, 0, -5/4 Put 5, -1323, 3 in descending order. 5, 3, -1323 Put 1/6, -1/4, -3/2, 2, 0, 1592 in ascending order. -3/2, -1/4, 0, 1/6, 2, 1592 Sort 2, 3, 0, -2, 5. -2, 0, 2, 3, 5 Put -0.3, 5/544, -218 in descending order. 5/544, -0.3, -218 Sort 1, 0, 23, 5, -8, -1 in ascending order. -8, -1, 0, 1, 5, 23 Sort -1, -40328, -7, 5. -40328, -7, -1, 5 Sort -0.2, 1/142, 3, -1/10, 2, 0. -0.2, -1/10, 0, 1/142, 2, 3 Sort 8, 230, -44, -5 in decreasing order. 230, 8, -5, -44 Sort -4, 13/6, -0.2, -1/4, -0.5 in decreasing order. 13/6, -0.2, -1/4, -0.5, -4 Sort -1, 4, -3, 3, -73, -37 in descending order. 4, 3, -1, -3, -37, -73 Sort -0.047, -2/9, 0.01, 4, -0.3, 0 in descending order. 4, 0.01, 0, -0.047, -2/9, -0.3 Sort -424, 5, 4, -1, -7, -5 in ascending order. -424, -7, -5, -1, 4, 5 Sort -5, -3, 2, -277, 4, 3 in decreasing order. 4, 3, 2, -3, -5, -277 Put 1.35, -2/7, -0.3, 5, -1 in ascending order. -1, -0.3, -2/7, 1.35, 5 Sort -2820, 4, 3, -17, -3, 2 in ascending order. -2820, -17, -3, 2, 3, 4 Sort 0.5, -2/7, -2032/27 in increasing order. -2032/27, -2/7, 0.5 Sort 3, -2, 0, -9, -615 in ascending order. -615, -9, -2, 0, 3 Sort -11, -4, -8, 0.2, 0.3 in increasing order. -11, -8, -4, 0.2, 0.3 Sort -10, -1, 0, 230, 3, -2 in descending order. 230, 3, 0, -1, -2, -10 Put -5529, -7, 4, -5 in decreasing order. 4, -5, -7, -5529 Put -5, 136, -1, -6, -2 in ascending order. -6, -5, -2, -1, 136 Put -1.8, 2/5, -2, -16, 3, -0.4 in decreasing order. 3, 2/5, -0.4, -1.8, -2, -16 Put 5, -8293, 36, 2 in increasing order. -8293, 2, 5, 36 Sort 2, 2/17, 2.005, 1 in increasing order. 2/17, 1, 2, 2.005 Put -1, 2, 68, 6, 1 in ascending order. -1, 1, 2, 6, 68 Sort -49, -1/6, -0.2, -19. -49, -19, -0.2, -1/6 Put 2, 1, -4, -3, 526 in decreasing order. 526, 2, 1, -3, -4 Sort 1, 10, -0.0572, -2, -1, -0.3. -2, -1, -0.3, -0.0572, 1, 10 Sort -3/26, -5, -13/5. -5, -13/5, -3/26 Sort 23, 5, 28 in descending order. 28, 23, 5 Sort 5, -4, 2465 in descending order. 2465, 5, -4 Sort 4, -3, -26, 8, 48 in descending order. 48, 8, 4, -3, -26 Put 3, 2, 6, 561, -21, -1 in decreasing order. 561, 6, 3, 2, -1, -21 Sort -105, 133, -7, -3 in decreasing order. 133, -3, -7, -105 Put -2/45, 3, -6, -2/3 in ascending order. -6, -2/3, -2/45, 3 Sort -1/2, -200, 0, 4, 2, -0.2 in decreasing order. 4, 2, 0, -0.2, -1/2, -200 Put -2, 0.3, 0.13, 61, -5, -0.3 in descending order. 61, 0.3, 0.13, -0.3, -2, -5 Put -0.14, 2, -1/2, -213 in increasing order. -213, -1/2, -0.14, 2 Sort 3, 4, 0.13, -3, -0.4, 0.29 in decreasing order. 4, 3, 0.29, 0.13, -0.4, -3 Put -6/7, -0.2, 10, -26, -2/9 in descending order. 10, -0.2, -2/9, -6/7, -26 Put 3, -2, 0, -5, 4, 25 in increasing order. -5, -2, 0, 3, 4, 25 Sort 5, -0.1, 0.167019 in descending order. 5, 0.167019, -0.1 Put -10/9, 0, 1/2, -58, 4 in ascending order. -58, -10/9, 0, 1/2, 4 Sort 5, -5, 567, -4 in decreasing order. 567, 5, -4, -5 Sort -14, 0.2, 14, 0.5, 2 in descending order. 14, 2, 0.5, 0.2, -14 Put 4, 3, 0.5, -1/50, -96 in increasing order. -96, -1/50, 0.5, 3, 4 Sort -1, 6, 4, -63 in decreasing order. 6, 4, -1, -63 Put -58, 38, 11 in decreasing order. 38, 11, -58 Sort -0.1, 0.3, 1/6, 66, -1 in decreasing order. 66, 0.3, 1/6, -0.1, -1 Sort 3, 0.023197, 4 in descending order. 4, 3, 0.023197 Sort -5, 4, -4, 3, -6, -131. -131, -6, -5, -4, 3, 4 Sort 0.831, -1, 0.22, 4 in descending order. 4, 0.831
{ "pile_set_name": "DM Mathematics" }
-1013381*d. Let x(k) = 1052*k**2. Determine x(b(s)). 1080341985821372*s**2 Let r(u) = -9*u - 13*u**2 + 9*u. Let d(g) be the third derivative of 3*g + 0*g**3 + 1/24*g**4 + 0 - 11*g**2. Calculate r(d(c)). -13*c**2 Let b(o) = -4*o. Let k be (2/(-7))/((5/(-14))/5). Suppose 0 = -k*h - 4*a - 8, -3*a - 2 = -h + 12. Let j(f) = 10*f**2 - f**h - 2*f**2 - 5*f**2. What is b(j(r))? -8*r**2 Let y(h) = 474829320*h**2. Let s(f) = -f**2. Give y(s(v)). 474829320*v**4 Let i(u) = 30*u. Let h(p) = -1245780*p. What is h(i(j))? -37373400*j Let b(g) = -2*g. Suppose 0 = 235*h + 166*h - 1203. Let a(i) be the third derivative of 0*i - 3/4*i**4 + 0*i**h - 11*i**2 + 0. Give a(b(d)). 36*d Let f(c) = 15*c**2 - 7456815*c + 7456815*c. Let u(l) = 5*l - 57. What is u(f(w))? 75*w**2 - 57 Let s(c) = 795613*c. Let i(j) = 146*j. Calculate i(s(p)). 116159498*p Let d(n) = 31*n**2 - 49*n**2 + 12*n**2. Let s(j) = 10*j. Let g(u) = -120*u. Let h(k) = 2*g(k) + 25*s(k). What is d(h(m))? -600*m**2 Let a(f) = -6*f - 58. Let x(i) = 14*i + 145. Let k(z) = 15*a(z) + 6*x(z). Let g(m) = -4*m**2 + 4*m. Calculate g(k(j)). -144*j**2 - 24*j Let n(f) be the second derivative of -f**4/24 - 29*f**2 - 60*f. Let u(w) be the first derivative of n(w). Let p(i) = 2*i - 36. Calculate u(p(x)). -2*x + 36 Let l(p) = -69*p**2 + 4*p. Let s(r) = 985*r + 26. Let f(u) = -454*u - 12. Let k(c) = 13*f(c) + 6*s(c). Calculate l(k(b)). -4416*b**2 + 32*b Let q(a) = -74*a**2. Let y(t) be the second derivative of -13*t**4/12 - 411*t. Calculate y(q(w)). -71188*w**4 Let b(a) = -9*a. Let l(m) = -7*m - 8. Let h(x) = -5*x - 6. Let g(i) = -i**2 - 19*i - 86. Let o be g(-9). Let j(r) = o*h(r) - 3*l(r). Determine j(b(u)). -9*u Let v(j) = 114*j - 2. Let h(d) = 56*d - 51. Let u(b) = 40*b - 36. Let w(o) = 12*h(o) - 17*u(o). Calculate w(v(z)). -912*z + 16 Let m(f) = 3*f**2 + 11. Let t(d) be the second derivative of 2*d**3/3 - 188*d. Determine m(t(s)). 48*s**2 + 11 Let x(m) be the first derivative of -2*m**3/3 + 4006. Let d(u) = 4*u**2 + 3*u - 32. Determine d(x(c)). 16*c**4 - 6*c**2 - 32 Let g(v) = -290*v**2. Let w(d) be the second derivative of 2*d**3/3 + 5*d + 241. Calculate w(g(h)). -1160*h**2 Let x(o) = -3810120*o. Let t(c) = 7*c**2. Calculate t(x(l)). 101619100900800*l**2 Let c(m) = -143*m**2 - 215*m - 9. Let l(k) = -3*k. What is l(c(d))? 429*d**2 + 645*d + 27 Let k(u) = 4*u**2. Let v(l) = 36053101*l. Calculate v(k(c)). 144212404*c**2 Suppose -7*j - 4 = -18. Let n(r) = -17*r**2 + 8*r**2 + 12*r**2 + 6*r**2 + 5*r**j. Let x(q) = 6*q. What is n(x(a))? 504*a**2 Let j(o) be the first derivative of 0*o**2 + 0*o + 34 - 5/3*o**3. Let v(u) = 22*u. Calculate v(j(m)). -110*m**2 Let v(q) be the first derivative of q**2 + 33. Let i(x) be the second derivative of 0*x**2 + 1/2*x**3 - 11*x + 0. Determine i(v(j)). 6*j Let c(s) be the second derivative of -s**4/3 - 3*s. Let m(a) be the second derivative of -1 + 0*a**2 + 0*a**3 - 5*a - 1/6*a**4. Calculate c(m(h)). -16*h**4 Let m(y) = -y**2 - 19*y - 6621. Let a(w) = 32*w**2. Determine m(a(d)). -1024*d**4 - 608*d**2 - 6621 Let f(p) = -122*p**2. Let s(j) = -5007928*j**2. Give f(s(b)). -3059679828088448*b**4 Suppose -2*c - 62 = -7*a + 4*a, -116 = -4*a - 4*c. Let d(b) = -30 - 9*b - a + 54. Let s(g) = -33*g - 8*g**2 + 33*g + 0*g**2. Give s(d(p)). -648*p**2 Let f(h) = -467972*h**2 - 42*h. Let o(y) = y. Give f(o(v)). -467972*v**2 - 42*v Let u(i) = 71*i. Let o be 38 - (21/15 - (-10)/(-25)). Let r(z) = o - z**2 - 19 - 18. Give u(r(l)). -71*l**2 Let w(a) = -4*a. Let c(o) = -3272821*o. Determine c(w(u)). 13091284*u Let x(g) = 149*g + 1. Let z(i) be the second derivative of i**3/3 - 33*i + 2. Give x(z(k)). 298*k + 1 Let n(i) = -16*i. Let k(q) = -52*q + 5521. Give n(k(m)). 832*m - 88336 Let o(a) = -2*a. Let w be 39/15*35/(-14)*-2. Let b(k) = -w*k**2 + 503 - 503. Let x(f) = 612*f**2. Let r(z) = 187*b(z) + 4*x(z). Determine o(r(t)). -34*t**2 Let v(r) = r. Let f = -439 - -441. Let q(i) = 42*i - 20. Let t(s) = -10*s + 5. Let z(k) = f*q(k) + 9*t(k). Give v(z(l)). -6*l + 5 Let d(i) = 50*i - 23 - 12*i + 23 + 8*i. Let u(p) be the first derivative of 0*p + 9 + 1/2*p**2. What is u(d(g))? 46*g Let v(c) = 14*c**2 - 10*c**2 - 12*c**2 + 8*c**2 + 2*c**2. Let d(i) = -5*i**2 - 18*i**2 - 34*i**2. Give v(d(f)). 6498*f**4 Let y(x) be the second derivative of -83*x**3/6 + 5*x. Let b(c) be the second derivative of -c**4/12 - 1341*c. What is y(b(g))? 83*g**2 Let v(o) = 93743860*o. Let u(c) = -c. Give v(u(r)). -93743860*r Let r(a) be the third derivative of a**5/30 + 97*a**3/2 - 1855*a**2. Let b(c) = -2*c. Determine b(r(y)). -4*y**2 - 582 Let q(z) = -15448*z + 7632*z + 7842*z. Let m(d) = 5*d - 3. Let v(o) = 1. Let j(l) = -m(l) - 3*v(l). Give j(q(t)). -130*t Let u(o) = 9552343*o**2. Let s(j) = -8*j. Give s(u(h)). -76418744*h**2 Let r(l) = -655*l**2. Let g(t) = -8*t + 33*t - 29*t. What is g(r(w))? 2620*w**2 Let f(p) be the third derivative of 0*p**4 + 0*p**3 + 0 + 3*p**2 + 2*p + 1/60*p**5. Let r(u) = 6*u**2. What is f(r(o))? 36*o**4 Let g(d) = 23846969*d. Let m(z) = -4*z. Calculate g(m(x)). -95387876*x Let i(k) = -12*k. Let n(c) = 192*c**2 + 135. Let a(s) = 2*s**2 - 3. Let h(j) = 90*a(j) + 2*n(j). What is h(i(m))? 81216*m**2 Let j(p) = -6*p. Let a(r) = -1974721*r. What is j(a(o))? 11848326*o Let b(g) be the third derivative of g**4/4 + 3*g**2 - 18*g. Let y(c) = -21*c + 12. Let d(n) = n - 2. Let f(t) = -6*d(t) - y(t). Determine b(f(z)). 90*z Let z(g) = 2*g. Let p(y) = 105*y + 47813. Calculate z(p(a)). 210*a + 95626 Suppose 2*d - 21 = 2*j - 3*d, -4*j = 5*d - 33. Let u(q) = -j*q + 3 - 3. Let c(k) = 38012*k - 17 - 18994*k - 19019*k. Calculate u(c(r)). 2*r + 34 Let i(g) be the second derivative of -g**4/3 - 1113*g. Let y(p) = -703*p**2. What is y(i(r))? -11248*r**4 Let j(y) = 6*y. Let h(q) = 3137939*q**2 + 18718*q + 102949. Let s(c) = -1341*c**2 - 8*c - 44. Let o(g) = -4*h(g) - 9359*s(g). Give j(o(a)). -8022*a**2 Let b(x) = -x**2 - 4*x - 44. Let y(j) = 1100*j. Determine y(b(n)). -1100*n**2 - 4400*n - 48400 Let i(q) be the first derivative of -7*q**3/3 + 8*q - 705. Let h(g) = -3*g**2. Determine h(i(y)). -147*y**4 + 336*y**2 - 192 Let a(m) = -941*m**2. Let v(j) = -761261*j**2. Calculate a(v(x)). -545326729823861*x**4 Let p(r) = -125*r. Suppose -47*c + 44*c + 27 = 0. Let h(j) = -c*j - 7*j - 8*j + 25*j. Give p(h(o)). -125*o Let z(n) = -245*n**2. Let r(p) = -34*p - 2. Let k(x) = -2205*x - 130. Let o(l) = 2*k(l) - 130*r(l). Determine o(z(b)). -2450*b**2 Let w(v) = 8*v**2 + 7*v. Let b(k) be the first derivative of -k**4/12 + 96*k - 116. Let u(f) be the first derivative of b(f). What is u(w(r))? -64*r**4 - 112*r**3 - 49*r**2 Let c(p) = -82000831*p. Let q(r) = 2*r. What is c(q(u))? -164001662*u Let v(g) = 1 - 1 - 8897*g + 4449*g + 4447*g. Let y(r) = -112*r**2 + 2. What is y(v(a))? -112*a**2 + 2 Let k(a) be the third derivative of 7*a**4/6 - 485*a**2 + 2. Let y(r) = -8*r**2 - 2*r. Calculate k(y(n)). -224*n**2 - 56*n Let g(o) = -o. Suppose -3*q + 7*q = 0, -2*q - 4 = -2*t. Let l(b) be the first derivative of -12*b**2 - 17 - 7 - 9*b**t. What is l(g(z))? 42*z Let v(d) = -586*d. Let k(c) = 104053*c. Give v(k(b)). -60975058*b Let b(g) be the third derivative of -577*g**5/60 + 3201*g**2. Let h(k) = -4*k**2. What is b(h(w))? -9232*w**4 Let l(s) = -6*s. Let z(u) be the second derivative of 0 + 43*u + 5/6*u**3 + 0*u**2. Give l(z(o)). -30*o Let p = 80 + -78. Let v(m) = -8*m**2 + p*m**2 + 2*m**2. Let z(d) be the second derivative of -d**4/6 - d. Give z(v(q)). -32*q**4 Let i(w) = 662 + 667 + 4*w - 1329. Let d(l) = 320*l**2 + 2*l. What is i(d(v))? 1280*v**2 + 8*v Let x(d) = -13*d. Let j(z) = 1211186*z**2. What is x(j(t))? -15745418*t**2 Let v(w) = -19*w**2 - 248*w - 4. Let x(m) = 4485*m**2 + 58466*m + 943. Let a(c) = -943*v(c) - 4*x(c). Let j(r) = -4*r + 4*r + 7*r**2. Determine j(a(p)). 3703*p**4 Let i(s) = 17*s. Let w(j) be the second derivative of j**4/8 + 33*j**2 - 32*j. Let d(b) be the first derivative of w(b). What is d(i(n))? 51*n Let b(x) = 292*x**2 + 1028*x - 2051*x + 1023*x. Let g(s) = 3*s + 3*s + 3*s - 8*s. Calculate b(g(i)). 292*i**2 Let c(d) = -23*d**2. Let q(p) be the first derivative of 0*p - 45 - 3/2*p**2. Give c(q(k)). -207*k**2 Let t(l) = 2*l - 128. Let m(j) = -7*j**2 + 1314*j - 8. Calculate m(t(k)). -28*k**2 + 6212*k - 282888 Let c(x) = -23*x + 2.
{ "pile_set_name": "DM Mathematics" }
-0.092, 13? -0.092 What is the nearest to 1.09 in -110, 4, -3, -2/1387? -2/1387 Which is the closest to -27? (a) -60/71 (b) 47 (c) -3 c What is the closest to 0.01 in 2/159, 3, -0.06, -5, -2/29? 2/159 What is the closest to 1/3 in -3.1, -50, 231, 5? -3.1 What is the nearest to -1 in -10, -1146/7, 0.4, 3, -0.09? -0.09 Which is the nearest to -1/2? (a) 4 (b) -19 (c) 13.6 (d) 0.2 (e) 14 d What is the nearest to -11 in -0.231, -5, -0.396? -5 What is the nearest to 0.1 in -1/165, -5363, 1/8, -2? 1/8 What is the closest to 1/4 in 53/5, -142673, 4? 4 Which is the nearest to -1/6? (a) -28836 (b) 3/5 (c) 1/5 (d) -1 c What is the nearest to -6 in -32467, 2/7, 0.1, -0.5? -0.5 What is the closest to 0 in 17, -1, -0.1, 72/11, 109? -0.1 What is the nearest to 2/5 in 4, -489, 1, -1, -19/2? 1 Which is the closest to 0? (a) -0.2 (b) -3/5 (c) -4 (d) -0.9 (e) 0.08 e Which is the nearest to 0.28? (a) 5 (b) 0.8 (c) 0.02 (d) 3.09 (e) 1/4 (f) 2 e Which is the nearest to -1/12677? (a) 1/93 (b) 2/13 (c) 2/7 a What is the nearest to -0.3785156 in 3/2, 1, -3? 1 Which is the nearest to 3/4? (a) 162 (b) -5 (c) -2/17 (d) 5/7 (e) 2/21 d Which is the closest to 19.9? (a) 0 (b) -2/5 (c) 125/2 a Which is the closest to 0? (a) 0.5 (b) -1 (c) 3 (d) 3.8 (e) -597 (f) 0 f Which is the closest to -0.6327? (a) -0.2 (b) 0 (c) 1/105 a Which is the nearest to -3? (a) 0.0719095 (b) -0.1 (c) 9 b What is the nearest to -0.1 in 8, -2, -0.4, -4/251, 0.07? -4/251 What is the closest to -0.8 in -1, -1/3, -70, -2, -6? -1 What is the nearest to 4941.5 in 3/2, -2/5, -2/11? 3/2 Which is the closest to -75/8? (a) -1 (b) 4/3 (c) -0.02 (d) -0.3748 a Which is the closest to 4? (a) -3/5 (b) 4 (c) 824936 b Which is the nearest to -1? (a) -2/361 (b) -2 (c) 8/3 (d) -4 a Which is the closest to -2/1267? (a) 2 (b) 4 (c) 5 (d) 829 a What is the closest to 2 in 1.43, 0.224, -5/16, -1/3? 1.43 Which is the closest to -1? (a) 0.2 (b) 0.15 (c) 40 (d) -60 (e) -3/5 e What is the closest to -57 in -7.3, 12/11, 8/5, -1, 0? -7.3 Which is the nearest to -46/13? (a) -1 (b) 2/15 (c) 1/2 (d) 0.3 (e) 0.1 a Which is the nearest to -34? (a) -627 (b) 1/4 (c) 4 (d) -0.6 d What is the nearest to -1 in -0.0185, -0.3, 8.631? -0.3 What is the nearest to -2/4091 in 2/5, 4, 0.3? 0.3 What is the closest to -1/3 in 5/3, -3/14, 1, 20235, 1/4? -3/14 What is the nearest to 162/7 in 1/8, 0.3, -3/17, -0.22? 0.3 What is the nearest to -1 in -5, 6/29, -1.54, -22.6? -1.54 What is the closest to -1 in 9.8, -0.4, 205.62, -1? -1 Which is the nearest to -1954? (a) 0.36 (b) -0.5 (c) 1/32 (d) -2/5 b Which is the closest to -40/7? (a) -4.4 (b) -3 (c) 2/11 (d) 3296 a What is the nearest to -51189 in 2, 4/11, 5/2, -4, -1? -4 What is the nearest to -3/2 in -5, -13/37, -0.178, -0.2, 0.26? -13/37 What is the closest to 167 in -2, 0.0349, -13/12, 0.1? 0.1 Which is the nearest to 17/13? (a) -562 (b) 0.022 (c) 2/7 (d) -4 c What is the nearest to -2/3 in -5, 0.93, -1, -862, 2? -1 What is the closest to -4/5 in -72, -8/7, -0.4, -6? -8/7 What is the closest to 0 in -0.1, -5, -2.8, -286? -0.1 What is the nearest to -2/5 in -6, 303, -0.08, 3, -3/2? -0.08 Which is the nearest to -293? (a) 409 (b) 1/23 (c) 5 (d) 0.3 b What is the nearest to 2/22681 in 0.2, -1/5, -0.1, -1423, 2/13? -0.1 Which is the closest to -1? (a) 0.1 (b) 0 (c) 3692/9 (d) -4/81 (e) 1 d Which is the nearest to -74.2? (a) 1/2 (b) -79 (c) -1/6 (d) -3 (e) 0.4 b What is the nearest to 1 in 2, 6/2453, -0.2622? 6/2453 Which is the nearest to 1? (a) 602 (b) -2.9 (c) 0.5 (d) 1/10 (e) -2 c What is the closest to -11 in 0.3, -10, -257, -2? -10 What is the nearest to -3.2 in -5/2, -5, -5114? -5/2 What is the nearest to 1/20 in 2, -116, 31, -0.3? -0.3 Which is the closest to 0.1? (a) -1/391 (b) 3.1 (c) 28 (d) -2 (e) 1/4 (f) 2 a Which is the nearest to -41? (a) -609 (b) -9 (c) 2/13 b What is the closest to 0.05 in -58790, 3.6, -0.4, -1? -0.4 Which is the nearest to 1? (a) -60 (b) 5 (c) 696 (d) 17 b What is the nearest to -56 in -1/3, 878, -63.8? -63.8 Which is the closest to 5? (a) 1/15 (b) 1 (c) -0.18 (d) -185 (e) -2 (f) 10/3 f What is the nearest to 47 in 265/11, 61, -2/11? 61 What is the nearest to -2 in 127/33, -670, 2? 2 What is the nearest to -1397 in -1.3, -100, 1/3? -100 What is the nearest to 0 in 4/57, 242.46, -3? 4/57 Which is the nearest to -0.1? (a) -333 (b) 0.54 (c) 5 (d) -3/2 (e) -0.13 e What is the closest to 0 in -6/11, 1321, 74? -6/11 Which is the closest to 957/8? (a) 0.3 (b) -0.065 (c) 1 (d) 2/15 c What is the closest to 0.07 in -401, 13.1, -5? -5 Which is the nearest to 24? (a) -10/7 (b) -0.1 (c) 22/9 (d) -1/4 (e) 0.4 c Which is the nearest to 0? (a) 54 (b) 1 (c) -86730 b What is the closest to -1/3 in -409, -1/3, 1/121, -0.07, 2/11? -1/3 What is the nearest to 0.85 in 2/49, 17, 12, -1/2? 2/49 What is the closest to 0.39 in 53/2, 3/5, 0.2, 1, 8? 0.2 What is the nearest to -5 in -2058, 1/4, -1/8, -2, 1/9? -2 Which is the closest to -10? (a) 0.1 (b) 2/7 (c) 3 (d) -28 (e) 428 (f) 5 a Which is the closest to -1/2? (a) -1164204 (b) 0.3 (c) -5/3 (d) 0.1 d Which is the nearest to 5? (a) -2 (b) 0.307097 (c) -5 (d) 26 b Which is the nearest to 1? (a) -2/5 (b) -2034 (c) -2 (d) -3/638 d What is the nearest to -15 in -2222, 0.2, -2.1, -2/9, -1.07? -2.1 What is the closest to 2 in 4, 3.6, 289, -1? 3.6 Which is the closest to -10? (a) 1/5 (b) 6/19 (c) 0.1 (d) 3/2 c Which is the nearest to 26/11? (a) 0.31 (b) -0.4 (c) -1 a What is the closest to -3.7 in 1/3, 0.4, -0.4, 2, 0.4148, -0.5? -0.5 What is the nearest to -2/5 in 2/3, 47, 3/14, -167, 1, 5? 3/14 Which is the closest to -1101255? (a) 0.07 (b) 1/2 (c) -1 c What is the nearest to -1/3 in 1/2, -0.4, 386, 34? -0.4 Which is the nearest to -2? (a) 232 (b) -77 (c) -1 (d) 0.4 (e) 0.2 c Which is the closest to 2/23? (a) -2/3 (b) -4/5 (c) -3/103 (d) 0.2 (e) -2 d What is the nearest to -1 in 5/2, -32, -8457? 5/2 What is the closest to -1 in 68, -1, -12/31? -1 Which is the closest to -38/9? (a) -0.2 (b) -7983 (c) -0.08 a Which is the closest to 3/151? (a) 2/5 (b) 10 (c) -46 (d) 1/9 d Which is the closest to -44? (a) -4 (b) 1 (c) 2/5 (d) 0.2 (e) 655 (f) 0.028 a Which is the nearest to 1.28? (a) 0.3 (b) -0.2 (c) -2 (d) 7.28 a What is the nearest to -0.2 in -1048, 5, -11, 1/3, -2/5? -2/5 What is the nearest to -110/9 in 3, 2/9, -2, -4/5, 38? -2 What is the nearest to 0.08 in -4, 0.4, -1/5, 2, -0.193? -0.193 What is the closest to -3 in 1/24, 200/7, -0.1, -0.3, -7, 5? -0.3 Which is the nearest to 2/7? (a) -3 (b) -1 (c) -1/2019 c Which is the closest to 1? (a) -3 (b) 11 (c) 0.06 (d) -181 c What is the nearest to -19 in -1, -17, -0.05, -0.037? -17 Which is the closest to 0.3? (a) 9 (b) 0 (c) -1.7 (d) -405 b What is the closest to -17 in -0.2, 252.2, 39? -0.2 Which is the nearest to 1/4? (a) -3 (b) 0.2 (c) 0.305 (d) -28 (e) 38 b What is the nearest to -4.4 in 1/4, 0.182, 2/5, -5, 23? -5 Which is the closest to -0.1? (a) 7/3 (b) 4 (c) 10/7 (d) 1 (e) 12/25 e What is the closest to 3.4 in -1/2, 5, -4, -0.0639? 5 Which is the nearest to 0.1? (a) 100 (b) 11/4 (c) -1/7 (d) 0.4 (e) 1/3 e Which is the closest to 68? (a) 3/7 (b) 6 (c) 1/10 (d) -26 (e) -6 b What is the nearest to -1 in -382181, -0.5, 3/14, -1? -1 What is the closest to -0.149 in -5, 3/2, -4, -9? 3/2 Which is the closest to -572? (a) 38 (b) 5 (c) 0.3 (d) -1/4 (e) 2/5 (f) 10 d Which is the closest to -0.1? (a) 1372 (b) 275 (c) -0.3 c Which is the nearest to -14? (a) -8 (b) -1/4 (c) -0.5 (d) -2/341 (e) -6 (f) -2 a What is the nearest to 1 in -3, 20, 3/136, 1391? 3/136 Which is the nearest to 0.27? (a) -4 (b) 2/199 (c) 0.1057 c Which is the nearest to -3/4? (a) -1 (b) 0.01033 (c) -6 (d) 1 (e) -4/5 e Which is the nearest to 1? (a) -4 (b) -3 (c) -1/10003 (d) -88 (e) 0.5 e What is the nearest to 0.1 in -4, -2, 2666080, -3/5? -3/5 What is the closest to -38.4 in 7, 5, 0.6, 0.09? 0.09 Which is the nearest to -1/6? (a) 3 (b) 21 (c) 1456 (d) 5 (e) -2 e What is the nearest to 7 in 4, 7/26, 2/13, -4/23, -3/2? 4 Which is the nearest to -0.138? (a) 2 (b) 10
{ "pile_set_name": "DM Mathematics" }
- 4*d - 64 = 0, -1 = -4*d - 17. Let r = h + g. What is the highest common factor of r and 12? 6 Suppose 3*q = 2*x - 0*q - 21, -2*x + q = -15. Let m = 3 + 22. Suppose 4*o = 97 - m. Calculate the greatest common divisor of o and x. 6 Let g be ((10/(-35))/(1/(-7)))/(-2). Let t(b) = -224*b. Let i be t(g). Calculate the highest common divisor of i and 14. 14 Let d be 6 - 32/(-2)*(-18 + 19). Calculate the highest common factor of d and 539. 11 Let j = 51 + -30. Let f be j/6*7 + 3/(-2). What is the greatest common divisor of 207 and f? 23 Let t(r) = r**2 + 9*r + 5. Let j be t(-7). Let g = 25 + j. Calculate the greatest common divisor of g and 48. 16 Let k be 77/(-21)*(0 + -9). Suppose -147 = 26*y - k*y. Calculate the highest common factor of 42 and y. 21 Suppose -4*f = -m - 55, -2*f = -3*m + 7*m - 50. Calculate the highest common divisor of 120 and f. 15 Suppose -3*c - 36 = c. Suppose -r - 4*b + 151 = 2*r, -5*r = 5*b - 245. Let u be 2/c - (-145)/r. What is the greatest common divisor of 1 and u? 1 Let n(y) = 7*y - 284. Let o be n(41). What is the greatest common factor of o and 93? 3 Let g be 14/(-4)*30/(-1). Suppose 0*k - 40 = -k + 2*u, -g = -4*k - 3*u. Suppose -k = -10*s + 5*s. Calculate the greatest common factor of 36 and s. 6 Let y = 1 - 2. Let s(i) = 66*i**2 + 5. Let j(x) = 65*x**2 + 4. Let b(d) = 4*j(d) - 3*s(d). Let c be b(y). Calculate the highest common factor of c and 21. 21 Let t be (-3531)/535*(-5)/(-6)*-10. Calculate the greatest common factor of t and 22. 11 Suppose x - 4 = 4. Let c be (-54)/81 - (1 + 22/(-6)). What is the greatest common divisor of c and x? 2 Suppose -2*z + 6*z + 16 = 0. Let a = -1 - z. Suppose -2 + 23 = a*n. Calculate the greatest common factor of 14 and n. 7 Let y be ((-432)/14)/(-6)*525/2. Calculate the highest common divisor of 27 and y. 27 Let t = 666 + -661. Calculate the greatest common divisor of t and 40. 5 Let p be (-88)/(1/(3 + -2)). Let c = p + 364. Suppose -c - 108 = -8*s. Calculate the greatest common factor of 12 and s. 12 Let z = 267 - 191. Calculate the greatest common divisor of z and 57. 19 Let v = 2 + -1. Let u(p) = p**3 + 9*p**2 - p. Let g be ((-162)/45)/((-4)/(-10)). Let s be u(g). Calculate the greatest common factor of v and s. 1 Suppose -32*q - 16*q + 1632 = 0. What is the greatest common divisor of 1462 and q? 34 Let o = 662 - 636. What is the highest common factor of o and 598? 26 Suppose -c = -121 - 5. Suppose -b + 4*j = 6*j - c, -3*b + 5*j = -389. What is the greatest common factor of b and 16? 16 Let k = -3693 - -3707. Let x be (54 + 2)*-1*-2. Calculate the greatest common factor of x and k. 14 Let o(q) = -q**3 + 9*q**2 - 8*q - 2. Let r be o(8). Let f = 17 + r. Suppose f = 5*t - 4*t. Calculate the greatest common factor of 120 and t. 15 Suppose 3 + 5 = 4*u. Suppose -3*k + 57*o + 6 = 59*o, -k = -o - 2. Calculate the highest common factor of u and k. 2 Suppose h = 4*j - 10 - 10, 4*j - 20 = -2*h. Suppose -5*d - 61 + 481 = h. Let q = 43 + -29. Calculate the greatest common factor of q and d. 14 Let v(w) = 82*w + 800. Let q be v(-9). Calculate the greatest common factor of q and 4. 2 Let k be -25 + 19 + (-1 - -317). Calculate the greatest common factor of 40 and k. 10 Suppose -3*l - 34 = 2*i, 0 = i - 4*l + 16 + 12. Let f = i + 43. Calculate the greatest common divisor of f and 23. 23 Suppose -3*y + 15 = 3*w - 6*w, -10 = -2*y - 2*w. Let l(t) = 2*t**3 - 4*t**2 - 8*t - 2. Let f be l(y). What is the greatest common factor of f and 12? 12 Suppose -4*r - 4*c + 3156 = 0, 0*r - 5*c = 3*r - 2375. Suppose r = -4*p - 319. Let m = p - -409. Calculate the greatest common factor of 19 and m. 19 Suppose -4*w = -5*w + 11. Let v be (2/4)/((w/6)/11). Calculate the greatest common divisor of 12 and v. 3 Let g be (3/(-4))/((-12)/96). Let d = g + -1. Suppose 5*q - 1 - 19 = -d*u, u = q - 14. What is the highest common factor of 99 and q? 9 Let v = -845 + 857. What is the highest common divisor of 52 and v? 4 Suppose y = -9*y + 4060. Calculate the greatest common factor of y and 58. 58 Let n be (-5 - 1)/(5/(-50)). Suppose 20 = r - n. Calculate the greatest common factor of 32 and r. 16 Let a = -19 + 18. Let i be 1*6/a*-1. What is the greatest common divisor of 54 and i? 6 Suppose 7*a + 1 - 1345 = 0. What is the greatest common factor of 24 and a? 24 Let j = 1386 - 1299. What is the highest common factor of j and 609? 87 Let j(h) = 28*h - 1. Let q be j(-2). Let k be -3 - -6 - (q - -2). Suppose -10 = -0*o - 2*o, 0 = -4*u - 2*o + k. What is the highest common factor of u and 108? 12 Let b = -521 + 1628. What is the greatest common factor of b and 27? 27 Let f be 727 - (2 - (8 - 3)). Calculate the highest common factor of f and 20. 10 Suppose w + 20 = -4*a, 0 = 5*w - 3*w - 8. Let o(g) = -3*g - 5. Let j be o(-5). Let r = j + a. Calculate the greatest common factor of 4 and r. 4 Let i(f) = -2*f**3 + 20*f**2 - 18*f + 5. Let c be i(9). Suppose 0*k - 132 = -3*y + 3*k, y - 42 = 3*k. What is the highest common factor of c and y? 5 Let s be 13 - (-8868)/72 - 1/6. What is the greatest common divisor of 51 and s? 17 Let t = -134 - -148. What is the greatest common divisor of t and 49? 7 Let r = 0 + 2. Let t = 28 + -18. Calculate the highest common factor of r and t. 2 Suppose -3*v - p - 4*p + 158 = 0, -2*v + 99 = -3*p. What is the highest common divisor of v and 51? 51 Let b = 50 + -38. Let v(o) = -o**2 + 6*o - 1. Let a be v(3). What is the highest common divisor of b and a? 4 Suppose -189*z = -187*z - 20. Let t(i) = i**2 + 3*i. Let k be t(-5). Calculate the greatest common divisor of z and k. 10 Let h(v) = 4*v**2 - 18*v - 34. Let m be h(11). Calculate the highest common divisor of m and 90. 18 Let v(g) = -11*g - 2. Let s be v(-3). Let j = s - 27. Calculate the highest common factor of j and 36. 4 Let s = 2057 - 1967. Suppose 26 + 10 = 2*h. What is the greatest common divisor of h and s? 18 Suppose -h - 4123 = -4*t, -5*t = 3*h + 300 - 5475. What is the greatest common divisor of 24 and t? 24 Suppose u + 2*q = 70, 4*q + 0 = 4. Let g(p) = -2*p**3 + 2*p**2 + p + 1. Let i be g(3). Let b = i + u. What is the greatest common factor of b and 4? 4 Let a be 1 + ((-4)/(-2) - 1). Let u(y) = 2 + 3*y**2 + 4*y**a - 5*y + 2*y. Let t be u(5). Calculate the highest common factor of 18 and t. 18 Let d(i) = 2*i**2 + 3*i + 4. Let n be (-1)/3 - 32/12. Let m be d(n). What is the highest common factor of 104 and m? 13 Suppose 1 = 2*z + 83. Let k = z + 17. Let w = 39 + k. Calculate the highest common factor of w and 10. 5 Let x = -359 + 515. Suppose 6*k = 2*k + x. Calculate the greatest common factor of k and 13. 13 Let n(p) = p**2 - 2*p + 2. Let r be n(3). Let a(k) = 5*k**2 - 13*k - k**3 + 20*k - 6 + 0*k**3. Let c be a(r). Calculate the greatest common factor of 145 and c. 29 Let o be 6/(2 + 7/(-4)). Suppose 0 = -a - 112 + 140. Suppose -o*j + a*j = 88. What is the highest common divisor of j and 198? 22 Let j = -168 - -207. What is the greatest common factor of j and 91? 13 Suppose -2*p = -3*f - 19 - 94, -5*f + 217 = 3*p. Calculate the greatest common factor of 48 and p. 16 Let v be 338/3 - (-3 - 11/(-3)). Calculate the highest common divisor of v and 64. 16 Let g(o) = o**2 + 7*o - 15. Let a be g(-9). Suppose -4*n = 3*r - 6, -2*n = 4*r + a*n - 8. Calculate the highest common factor of 22 and r. 2 Suppose -3*r + 39 = -2*r + 4*q, 0 = 2*r + 4*q - 74. Let i(j) = -3*j - 1. Let a be i(-8). Let h = r - a. What is the highest common divisor of h and 8? 4 Suppose -73*c = -77*c - 16, -5*c - 1540 = -5*h. Calculate the highest common divisor of 38 and h. 38 Suppose 5*m - 503 - 622 = -2*a, -a + 595 = -4*m. Calculate the highest common factor of a and 23. 23 Let j = 414 + -262. Let l be (5/15 - 0)*141. Suppose l*i - 51*i + 76 = 0. Calculate the greatest common factor of i and j. 19 Let j be (0 - 112/(-49))*14. What is the greatest common divisor of 32 and j? 32 Suppose -2 = -5*b + 3, -4*u + 3 = -b. Let k(d) = 0*d + u - d + 2 + 1. Let o be k(-4). Calculate the greatest common factor of 4 and o. 4 Suppose -13*x - 189 = -22*x. Calculate the greatest common divisor of x and 903. 21 Let y(z) = -11*z + 4. Suppose 3*n = 3*l - 12, 3*l + 16 = -2*n - 7. Let i be y(n). Calculate the highest common divisor of 9 and i. 9 Suppose 3*q - 2 = 5*x + 38, -5*q = 5*x + 40. Let l be
{ "pile_set_name": "DM Mathematics" }
*n**3 + 2*n + 7*n**2. -2*n*(n - 1)*(n + 1)**2 Let z(m) be the third derivative of m**5/210 - m**3/21 + 23*m**2. Factor z(u). 2*(u - 1)*(u + 1)/7 Let u(t) be the second derivative of 2*t**7/21 + 2*t**6/5 + 2*t**5/5 - 2*t**4/3 - 2*t**3 - 2*t**2 - 4*t. Factor u(f). 4*(f - 1)*(f + 1)**4 Suppose 0 + 2*a**2 + 1/2*a**4 + 0*a - 2*a**3 = 0. Calculate a. 0, 2 Let g(m) = -m + 1. Let s(f) = -4*f**2 - 12*f. Let o(i) = -4*g(i) + s(i). Factor o(h). -4*(h + 1)**2 Let i = -13 - -21. Let h be (i/14)/((-18)/(-21)). Factor h*f**2 - 2/9*f - 4/9. 2*(f - 1)*(3*f + 2)/9 Factor 0*s + 3/2*s**2 + 0 + 3/4*s**5 + 0*s**4 - 9/4*s**3. 3*s**2*(s - 1)**2*(s + 2)/4 Let i(x) be the second derivative of 0 - 5*x + 0*x**3 - 1/3*x**2 + 1/18*x**4. Factor i(u). 2*(u - 1)*(u + 1)/3 Let l(n) = n**3 - 3*n**2 - 3*n. Let t be l(4). Suppose 6*j**2 - 2*j**3 - 4 + 2*j**4 - t*j**4 + 3*j - j = 0. Calculate j. -2, -1, 1 Let -1/5*z + 1/5*z**2 - 1/5 + 1/5*z**3 = 0. Calculate z. -1, 1 Let i(r) be the second derivative of 3*r**7/49 + 11*r**6/35 + 19*r**5/70 + r**4/14 - r. Factor i(s). 2*s**2*(s + 3)*(3*s + 1)**2/7 Let m(p) be the third derivative of p**8/224 - p**7/28 + 7*p**6/80 - 3*p**5/40 - 14*p**2. Factor m(b). 3*b**2*(b - 3)*(b - 1)**2/2 Let l(h) be the third derivative of -h**6/48 + 5*h**5/24 - 5*h**4/16 - 15*h**3/4 + 22*h**2. What is v in l(v) = 0? -1, 3 Let j be (9/9)/((-7670)/(-4)). Let s = j + 61346/26845. Determine l so that -2/7*l + 0 - 32/7*l**3 - s*l**2 = 0. -1/4, 0 Let n(i) = -10*i**4 - 3*i**3 + 3*i**2 + 3*i + 7. Let w(d) = 7*d**4 + 2*d**3 - 2*d**2 - 2*d - 5. Let c(v) = 5*n(v) + 7*w(v). Factor c(p). -p*(p - 1)*(p + 1)**2 Suppose -q - f = 3*q - 17, -4*f - 37 = -5*q. Let p(j) be the second derivative of -2*j + j**3 + 1/40*j**q + 2*j**2 + 1/4*j**4 + 0. Solve p(w) = 0. -2 Let q(x) = 11*x**3 - 12*x**2 + 15*x + 2. Let i(r) = 4*r**3 - 4*r**2 + 5*r + 1. Let m(s) = 8*i(s) - 3*q(s). Factor m(j). -(j - 2)*(j - 1)**2 Let n(p) be the first derivative of 3*p**3 - 9*p**2/2 + 2*p - 6. Factor n(h). (3*h - 2)*(3*h - 1) Let n(w) be the first derivative of -w**5/5 - w**4/9 - 2*w + 1. Let r(l) be the first derivative of n(l). Factor r(k). -4*k**2*(3*k + 1)/3 Let m be (1 - 1)/(12 - 14). Let c(w) be the second derivative of -1/35*w**5 - 1/14*w**4 + m*w**2 - 1/21*w**3 + 0 + w. Factor c(y). -2*y*(y + 1)*(2*y + 1)/7 Suppose -d - 11 = 3*h, -5*d - 4*h - 4 = -d. Let -r**4 - d*r**2 - 5*r**3 - 3*r**4 - 3*r**3 = 0. Calculate r. -1, 0 Let o(x) = x - 1. Let k(n) = n**2 + 5*n + 10. Let m(i) = -i + 3. Let y be m(2). Let b(p) = y*k(p) + o(p). Factor b(q). (q + 3)**2 Let a(s) be the third derivative of -s**6/660 + s**5/110 + s**4/33 - 56*s**2. Find g, given that a(g) = 0. -1, 0, 4 Let g(s) = -s**3 + s**2 - 1. Let v(h) = 5*h**3 - 8*h**2 + 5*h + 2. Let i(f) = 4*g(f) + v(f). Find p such that i(p) = 0. 1, 2 Suppose -6*k + 16 = -4*k. Factor 2*d**5 - d - k*d + d + 6*d**4 + 2*d + 4*d**3 - 2 - 4*d**2. 2*(d - 1)*(d + 1)**4 Let t(c) = 12*c + 3*c**4 - 3 - 6*c**3 - 6*c + 0. Let u(b) = b**4 - b**3 + b - 1. Let o be 1 + 1 + 2/(-2). Let v(q) = o*t(q) - 4*u(q). Factor v(i). -(i - 1)*(i + 1)**3 What is o in -46*o**4 - 6*o**3 + 20 - 15*o**2 + 31*o - 19*o**3 + 41*o**4 - 6*o = 0? -4, -1, 1 Factor 2/3*l**3 + 0*l + 2/3*l**2 + 0. 2*l**2*(l + 1)/3 Let w be 0 + 2 + (-8)/7. Let x(p) be the first derivative of 1 + 6/7*p**4 + w*p**3 + 0*p + 2/7*p**5 + 2/7*p**2. Solve x(l) = 0. -1, -2/5, 0 Let n(h) be the second derivative of -h**7/315 - h**6/180 + h**5/45 - h**2 - 4*h. Let r(g) be the first derivative of n(g). Factor r(y). -2*y**2*(y - 1)*(y + 2)/3 Let o(p) = p**2 + 6*p + 5. Let z(f) = f**2 + 5*f + 4. Let v(q) = -2*o(q) + 3*z(q). Factor v(t). (t + 1)*(t + 2) Let i = -770 + 770. What is c in i - 2/3*c - 1/3*c**2 = 0? -2, 0 Let i = 69 - 63. Let p(t) be the third derivative of 0*t - 1/525*t**7 + 0*t**4 + 1/300*t**i + 0*t**3 + 0 + 3*t**2 + 0*t**5. Factor p(r). -2*r**3*(r - 1)/5 Factor -46*m**2 - 12*m**2 - 39*m**3 - 93*m - 30 - 41*m**2 - 3*m**4. -3*(m + 1)**3*(m + 10) Factor -v**3 + 0*v - 1/2*v**4 + 0 - 1/2*v**2. -v**2*(v + 1)**2/2 Find d such that -56*d**2 - 6*d - 3 - 1 + 54*d**2 = 0. -2, -1 Let v(z) be the second derivative of -z**3/6 + 13*z**2/2 + z. Let f be v(9). Determine s so that s**2 + 3*s**4 - f*s**3 - 3*s**2 + 3*s**2 = 0. 0, 1/3, 1 Let s = 16 + -16. Let f(u) be the third derivative of s*u + 1/84*u**4 + 1/210*u**5 + 0 + 0*u**3 - 2*u**2. Solve f(n) = 0. -1, 0 Let h(v) be the first derivative of 8 - 23/10*v**2 + 6/5*v + 7/15*v**3. Factor h(t). (t - 3)*(7*t - 2)/5 Let i(r) be the third derivative of r**5/360 + r**4/72 - 7*r**2. Factor i(c). c*(c + 2)/6 Let i(m) be the first derivative of -m**6/9 - 2*m**5/15 + m**4/3 + 4*m**3/9 - m**2/3 - 2*m/3 - 2. Solve i(q) = 0. -1, 1 Factor 0 + 2/3*r**5 + 26/3*r**3 - 4*r**4 - 8*r**2 + 8/3*r. 2*r*(r - 2)**2*(r - 1)**2/3 Let t = 2 - -1. Suppose 3*i + 1 = -4*u, 2*i = -3 - t. Factor 0*n**2 - n**3 + 0*n**u + 2 + n + 2*n. -(n - 2)*(n + 1)**2 Let y(p) be the second derivative of p**5/60 + p**2 + 2*p. Let b(g) be the first derivative of y(g). Let b(i) = 0. Calculate i. 0 Let g(a) be the first derivative of 4 + 1/2*a**2 + 1/3*a**3 + 0*a. Find j, given that g(j) = 0. -1, 0 Let r be 2/(-4) + (-627)/6. Let x be r/(-100) + 2/(-8). Find c, given that -2/5*c - x*c**4 + 0 + 4/5*c**2 + 0*c**3 + 2/5*c**5 = 0. -1, 0, 1 Let h(f) be the first derivative of -1/2*f**6 + 6*f - 3*f**4 + 3 - 12/5*f**5 + 2*f**3 + 15/2*f**2. Factor h(m). -3*(m - 1)*(m + 1)**3*(m + 2) Let k(a) be the second derivative of 1/18*a**4 + 1/6*a**3 + 1/6*a**2 - 3*a + 0. Factor k(h). (h + 1)*(2*h + 1)/3 Let l = 2 - 5. Let y = 5 + l. Factor 2/3 + y*u**2 + 2*u + 2/3*u**3. 2*(u + 1)**3/3 Let b(d) be the third derivative of d**8/2184 - d**7/1365 - d**6/260 + d**5/390 + d**4/78 + 2*d**2. Solve b(i) = 0 for i. -1, 0, 1, 2 Let n(z) = 23*z**4 - 51*z**3 + 23*z**2. Let i(m) = -12*m**4 + 26*m**3 - 12*m**2. Let v(q) = -11*i(q) - 6*n(q). Factor v(u). -2*u**2*(u - 3)*(3*u - 1) Suppose -5*q + 25 = 5. Let d(p) = -3*p**4 + 2*p**3 + 6*p - 1. Let n(o) = -o**4 + o**3 + o. Let y(v) = q*n(v) - d(v). Factor y(x). -(x - 1)**3*(x + 1) Factor -f**2 + 2*f + 10*f**4 + 0*f**3 - 9*f**4 - 2*f**3 + 0*f**3. f*(f - 2)*(f - 1)*(f + 1) Suppose 0 = -9*n - 0 - 0. Factor 2/7*s**5 + 0*s**4 + n - 4/7*s**3 + 2/7*s + 0*s**2. 2*s*(s - 1)**2*(s + 1)**2/7 Let l = -2 + 7. Let r = 3 + -1. Suppose -1/4*v**l + 1/4*v**r - 2*v - 1/4*v**4 + 1 + 5/4*v**3 = 0. What is v? -2, 1 Let h(p) be the second derivative of -p**7/105 + p**6/75 + p**5/25 - p**4/15 - p**3/15 + p**2/5 + 6*p. Determine w so that h(w) = 0. -1, 1 Let f = 1 - -2. Let a + 3*a - a**f - 3*a = 0. Calculate a. -1, 0, 1 Factor 2/9 + 1/9*d - 1/9*d**3 - 2/9*d**2. -(d - 1)*(d + 1)*(d + 2)/9 Let t = -7 + 4. Let n(u) = -2*u**2 + 5*u + 4. Let l(s) = 3*s**2 - 9*s - 7. Let v(b) = t*l(b) - 5*n(b). Factor v(h). (h + 1)**2 Let b(k) be the first derivative of 5 + 0*k**5 + 3/2*k**4 + 0*k + 0*k**2 - 4/3*k**3 - 1/3*k**6. Suppose b(p) = 0. Calculate p. -2, 0, 1 Let r(k) = -9*k**5 - 18*k**4 - 21*k**3 + 6. Let w(a) = -8*a**5 - 17*a**4 - 20*a**3 - a**2 + 5. Let u(t) = -5*r(t) + 6*w(t). Factor u(j). -3*j**2*(j + 1)**2*(j + 2) Suppose 5*h - 29 = -3*u, -2*h + 3*u + 3 = h. Let b be ((-3)/2)/((-3)/h). Factor 2*s + 3*s**b - 4*s - 4*s**3 + 3*s. -s*(s - 1)*(4*s + 1) Factor -4/9 - 2/9*k**3 + 4/9*k**2 + 2/9*k. -2*(k - 2)*(k - 1)*(k + 1)/9 Let z(b) be the second derivative of b**4/42 - 2*b**3/7 + 9*b**2/7 + 35*b. Solve z(w) = 0 for w. 3 Let k(m) be the second derivative of -m**6/10 - 21*m**5/10 - 61*m**4/4 - 42*m**3 - 54*m**2 + 5*m. Factor k(q). -3*(q + 1)**2*(q + 6)**2 Suppose -2*p + 4*q = -10, 5*p - 17 = p + 5*q. Suppose 3*x + 11 = -4*k - p, 3*x + 4 = -2*k. Factor 0*y**x + 2/7*y**4 + 0 + 0*y + 2/7*y**3. 2*y**3*(y + 1)/7 Let d be 8/(-6)*(-18)/4. Let x(s) be the third derivative of 0*s + 1/60*s**5 - s**2 - 1/6*s**3 + 1/240*s**d - 1/48*s**4 + 0. Solve x(g) = 0 for g. -2, -1, 1 Solve 0*t - 6/11*t**2 + 2/11*t**3 + 8/11 = 0. -1, 2 Let m = -6 - -7. Let w = 4 - m. Suppose 1/2*b**2 + 1/4*b + 1/4*b**w + 0 = 0. Calculate b. -1, 0 Factor -4/5*f**3 + 6/5*f + 6/5*f**4 - 2/5 - 2/5*f**5 - 4/5*f**2. -2*(f - 1)**4*(f + 1)/5 Let m(w) be the second derivative of w**7/45 - 23*w**6/225 - 29*w**5/150 + 31*w**4/90 + 22*w**3/45 - 8*w**2/15 - 26*w. Suppose m(y) = 0. Calculate y. -1, 2/7, 1, 4 Let q be (3/(
{ "pile_set_name": "DM Mathematics" }
- 4*i**2 + 7*i**2 - 252*i**3 - 89*i**3. -341*i**3 - i**2 Collect the terms in 65 + 247*w + 112*w - 65. 359*w Collect the terms in 59*b**3 - 277*b**3 + 63*b**3 + 62*b**3 + 85*b**3. -8*b**3 Collect the terms in -160701851 + 160701851 + 9*y**2. 9*y**2 Collect the terms in 45*w - 8*w - 33*w - 44*w + 1. -40*w + 1 Collect the terms in 1972849*b + 16*b**2 - 1972849*b. 16*b**2 Collect the terms in 67*r + 94*r - 192*r. -31*r Collect the terms in 4*n**3 + 9635*n**2 - 4873*n**2 - 4762*n**2. 4*n**3 Collect the terms in x**3 + 3*x**3 + 55 + 312*x - 129. 4*x**3 + 312*x - 74 Collect the terms in 10*o + 9*o - 4*o + o**2 - 4*o**2. -3*o**2 + 15*o Collect the terms in 50 - 102*b**2 - 126*b**2 - 50 + 15*b**2. -213*b**2 Collect the terms in -41 - 22 - 104*l - 52 + 103*l. -l - 115 Collect the terms in -15*v**2 - 13*v**2 + 6*v - 6*v - 9. -28*v**2 - 9 Collect the terms in 12*y**2 + 6*y**2 + 2945099 - 2945099 - 8*y**2. 10*y**2 Collect the terms in -48*a - 72*a + 17*a**2 - 11*a**2. 6*a**2 - 120*a Collect the terms in -1312431*k + 656211*k + 656219*k. -k Collect the terms in 10379*z + 2 - 2 - 10383*z + 0. -4*z Collect the terms in 16 + 23*y - 17 + 18*y + 13*y**3 - 41*y. 13*y**3 - 1 Collect the terms in -5*f**2 - 5*f**2 - 5*f**2 - 9*f**2 + 10*f**2 + 15*f**2. f**2 Collect the terms in 306*l - 2 + 830*l + 2 - 71*l. 1065*l Collect the terms in 15*k**2 - 44*k**2 + 26*k**2 - 31. -3*k**2 - 31 Collect the terms in -69652 - 27*s + 28*s + 69652. s Collect the terms in 69*b - 122*b + 91*b. 38*b Collect the terms in -13*s - 18*s + 50*s - 21*s. -2*s Collect the terms in -112926 + 5*j**3 + 112926. 5*j**3 Collect the terms in -1631 + 799*s**3 + 1631. 799*s**3 Collect the terms in -2568 + p**3 + 3*p**2 + 5101 - 3*p**2 - 2589. p**3 - 56 Collect the terms in -367*j**3 + 51*j**3 - 66*j**3 - 202*j**3. -584*j**3 Collect the terms in 3*d**3 - 48 - 50 - 78 - 83 + 259. 3*d**3 Collect the terms in 1 + p**2 + 18*p - 6*p**2 + 3*p**2 - 2*p. -2*p**2 + 16*p + 1 Collect the terms in -22*t**2 - 52*t**2 - 48*t**2 + 153 + 118*t**2 - 153. -4*t**2 Collect the terms in 428*p - 5*p**2 + 296*p - 724*p. -5*p**2 Collect the terms in 72 + 267*q + 267*q + 267*q - 805*q. -4*q + 72 Collect the terms in 8*y + 11*y**2 + 2*y + 79526 - 79526. 11*y**2 + 10*y Collect the terms in 24187*h**2 - 48369*h**2 + 24183*h**2. h**2 Collect the terms in -4 - 11 - 4 - 155*y. -155*y - 19 Collect the terms in -555*n + 225*n + 243*n. -87*n Collect the terms in 1 - 61438*w + 61439*w - 1. w Collect the terms in 13385*k**2 - 62*k + 62*k. 13385*k**2 Collect the terms in 74*w**2 - 38*w**2 - 39*w**2. -3*w**2 Collect the terms in -279*m - 1614*m**3 + 279*m - 719*m**3. -2333*m**3 Collect the terms in 4*j**2 + 164101250*j - 164101250*j. 4*j**2 Collect the terms in 7*c**3 + 11*c**3 - 46*c**3 + 8*c**3 - 61*c**3. -81*c**3 Collect the terms in -81*i**3 - 120*i**3 + 237*i**3. 36*i**3 Collect the terms in -9 + 0*i**2 - 6*i**2 + 7*i**2. i**2 - 9 Collect the terms in 15*x - 41 + 2*x - 133. 17*x - 174 Collect the terms in -13 + 61 + 4*m - 48 + 8*m - 11*m. m Collect the terms in 255 + 50*z**2 - 255 - 310*z**2. -260*z**2 Collect the terms in 48359*q**2 - q - 12*q**3 - 24180*q**2 - 24179*q**2. -12*q**3 - q Collect the terms in -17*v**2 + 79*v**2 - 34*v**2 - 21*v**2. 7*v**2 Collect the terms in -114*h - 29*h - 1862*h. -2005*h Collect the terms in -1579 + 5*p**2 + 11*p**2 + 1579 + 5*p**2. 21*p**2 Collect the terms in 16*p**2 - 9*p**2 + 2*p**2 + 22*p**2 - 5. 31*p**2 - 5 Collect the terms in 71056 - 35522 - 35534 + 3*q**2. 3*q**2 Collect the terms in 6 - 2631*d**2 + 1 - 7 + 0. -2631*d**2 Collect the terms in 136 - 111 - 25 + 14*q. 14*q Collect the terms in -12*s**2 + 0*s - s**2 + 339*s**2 - s. 326*s**2 - s Collect the terms in 1199*a - 20 - 21 + 40. 1199*a - 1 Collect the terms in 2*s + 10*s + 2 - 562*s**2 - 15*s + 13*s. -562*s**2 + 10*s + 2 Collect the terms in -487*u**3 + 981*u**3 - 495*u**3. -u**3 Collect the terms in 0 - 326*k + 0 - 2. -326*k - 2 Collect the terms in -48*y - 190*y - 102*y + 9*y. -331*y Collect the terms in -238*z + 54*z + 31*z + 147*z. -6*z Collect the terms in 109*p - 5*p**3 + 0*p**3 - 57*p. -5*p**3 + 52*p Collect the terms in 8*u + 39 - 1 + 18*u - 38 - 5*u. 21*u Collect the terms in 425*h**3 + 110*h**2 - 154*h**3 - 110*h**2. 271*h**3 Collect the terms in -6*t - 1492 - 1490 + 2982 + 3*t. -3*t Collect the terms in -3*y**3 + 20 + y**3 - 78 + 14 + 44. -2*y**3 Collect the terms in 32575*c - 32575*c + 2*c**2 - 10. 2*c**2 - 10 Collect the terms in 2*v**2 - 104*v**3 + 4179*v - 2*v**2 - 4179*v. -104*v**3 Collect the terms in 2*m + 10124439 - 10124439. 2*m Collect the terms in 4 - 16870*w**2 + 16870*w**2 + 2545*w**3 - 2 - 2532*w**3. 13*w**3 + 2 Collect the terms in -951*i - 950*i + 1845*i. -56*i Collect the terms in -2872*g**2 + 2 + 1 - 3 + 2845*g**2. -27*g**2 Collect the terms in -198*r**2 + 369*r**2 - 133*r**2. 38*r**2 Collect the terms in -43 - 66 + 87 + 8 - 9*u + 14. -9*u Collect the terms in -5*b + 11 + 2*b + b + 2*b - 3*b. -3*b + 11 Collect the terms in -1147*i**2 + 2302*i**2 - 1154*i**2 - 29*i. i**2 - 29*i Collect the terms in -2219 - 2219 - 9*g - 2235 + 8886 - 2213. -9*g Collect the terms in -g**3 - 513 + 513 + 24*g**2. -g**3 + 24*g**2 Collect the terms in -18 + 40*a**2 + 37*a**3 - 40*a**2 + 18. 37*a**3 Collect the terms in -98*h**2 + 163*h**2 - 75*h**2. -10*h**2 Collect the terms in -41*j**3 - 12*j**3 + 5*j**3 + 5*j**3 + 11*j**3. -32*j**3 Collect the terms in -230 - v - 99 - 107. -v - 436 Collect the terms in -17 - 2*n**2 + 4880*n**3 + 17 + 2*n**2 - 4868*n**3. 12*n**3 Collect the terms in -27*s**2 - 491*s + 993*s - 499*s. -27*s**2 + 3*s Collect the terms in -1804*f - 4*f**2 - 1479*f + 3283*f. -4*f**2 Collect the terms in 0*g**2 + 17*g**3 + 0*g**2 + 2460644*g - 2460644*g. 17*g**3 Collect the terms in -3 + 6 + 2561*v**2 - 3. 2561*v**2 Collect the terms in -3734*f + 1826*f + 1908*f + 6*f**2. 6*f**2 Collect the terms in -519*f**3 + 4*f + 0*f + 1563*f**3 - 516*f**3 - 518*f**3. 10*f**3 + 4*f Collect the terms in -49*m**3 - 11*m**3 - 40*m**3. -100*m**3 Collect the terms in -10*b**3 + 796*b - 1590*b + 794*b - 17*b**3. -27*b**3 Collect the terms in -36*b - 10*b + 71*b - 18*b - 2*b**2. -2*b**2 + 7*b Collect the terms in 20*c - 8*c - 34*c + 8*c. -14*c Collect the terms in 20*l + 91*l - 66*l + 387*l. 432*l Collect the terms in -4 + 4 + 17700*x. 17700*x Collect the terms in -364893*m + 121633*m + 121630*m + 121629*m. -m Collect the terms in -136*p - 761 + 761. -136*p Collect the terms in 1447 + n**2 - 2686 + 1239. n**2 Collect the terms in 82 + 44 + n**3 - 181 + 55. n**3 Collect the terms in 62*n - 39*n + 149*n. 172*n Collect the terms in 4362 + 4363 + 4364 - 7*t**3 - 13089. -7*t**3 Collect the terms in -10*d**3 + 58*d + 3*d**3 - 68*d. -7*d**3 - 10*d Collect the terms in 5956*t - 2987*t - 2971*t. -2*t Collect the terms in 88*m**2 - 17*m**2 + 87*m**2 - 161*m**2. -3*m**2 Collect the terms in -103*p - 104*p + 411*p - 100*p - 101*p. 3*p Collect the terms in -100 - 279*s**3 + 35 + 65. -279*s**3 Collect the terms in 22*f**3 + 202706 - 202706. 22*f**3 Collect the terms in 6*t**2 - 20 - 17095*t + 17095*t. 6*t**2 - 20 Collect the terms in -1281*t - 1 - 1 - 40*t**2 + 0. -40*t**2 - 1281*t - 2 Collect the terms in 1 + 910*l + 914*l + 917*l + 918*l - 3669*l. -10*l + 1 Collect the terms in -8 + 949*u + 8. 949*u Collect the terms in 14*b - 19746 + 39487 - 19741. 14*b Collect the terms in 4*q - 24*q + 5*q + 4*q + 9*q + 4*q. 2*q Collect the terms in 55520*d**2 + 4*d**3 + 8*d**3 - 7*d**3 - 55520*d**2. 5*d**3 Collect the terms in 9*a + 14 + a + 12*a - 14. 22*a Collect the terms in 10*n**2 - 10*n**2 + 2*n + 18*n + 2*n**2. 2*n**2 + 20*n Collect the terms in -104*t**2 - t + 32*t**2 + 5*t - 4*t. -72*t**2 Collect the terms in 0*s**2 - 78*s + 0*s**2 + 79*s + 585 - s**3. -s**3 + s + 585 Collect the terms in 4*k**2 + 15*k**3 - 377*k**3 - 310*k**3. -672*k**3 + 4*k**2 Collect the terms in 20*g**3 + 7*g + 17*g**3 - g - 6*g. 37*g**3 Collect the terms in 70*d - 177*d - 34*d**3 + 56*d + 51*d. -34*d**3 Collect the terms in -86*i + 0*i - 1 - 158*i + 5*i. -239*i - 1 Collect the terms in -193046 + 385866 - 192820 + 2*k**2. 2*k**2 Collect the terms in -21*o**2 + 7*o**2 + 1 + 6*o**2 + 6*o**2. -2*o**2 + 1 Collect the terms in -66*z**2 + 155 + 234*z**2 - 110 - 45. 168*z**2 Collect the
{ "pile_set_name": "DM Mathematics" }
+ 16/40. 3/20 Evaluate ((-24462)/567 - -43) + (-38)/(-119). 3/17 Evaluate (-5 - 5 - -11) + -1 + (2 - -14). 16 What is the value of ((-136)/16 - -9)/1? 1/2 What is (-6 - (-3 - 1))/(2/(-7))? 7 Evaluate (1 - 54/45)*-35 - 7. 0 What is the value of (-5 - (-426)/84)*670/4 - 12? -1/28 What is 84/((-219240)/(-2523)) + (-4)/6? 3/10 Evaluate -1*(56/6)/((-138)/207). 14 What is the value of 3/(-7)*(174*21/1008 - 1)? -9/8 Evaluate (-70)/30 - (-6 - (6 + 455/(-42))). -7/6 Calculate 18 + (16/6)/((-16)/24). 14 What is the value of 3 - (-2 - (-3 + -6 - -4)) - -16? 16 (-280)/(28 - 14) - -30 10 Evaluate 8/(-6)*-14*87/(-406) - 8. -12 What is ((34/(-153))/((-16)/(-12)))/((-2)/78)? 13/2 Calculate -1*2825/105 + 2/(-21). -27 What is the value of (12 + -10)/(69/23*(-16)/(-54))? 9/4 Calculate 496/155 + -3 - 4/45. 1/9 Calculate 30/((-12)/(-4)) - 24948/2310. -4/5 Evaluate ((-58)/(-8) - 1)*10332/12915. 5 Calculate -15 + ((-554)/831)/((-4)/62). -14/3 Evaluate ((13 - 13)/13)/((-12)/4). 0 Evaluate 231/(-513) + -20*(-37)/(-7030). -5/9 What is the value of (8 + -4 - (-3)/(-1))/(38/4)? 2/19 Calculate -2 + 6 + (280/(-84))/(10/(-15)). 9 What is the value of (-35)/(9975/(-38)) + 21/(-45)? -1/3 Calculate 135/(-6)*(-11 - 636/(-60)). 9 84/108 + 2852/(-207) -13 What is the value of (-1)/6*(-8 - -7 - -11)? -5/3 -3 + (-404)/(-28) + (-3180)/2226 10 What is 12 + -23 - 10/(50/(-35))? -4 What is the value of 7/14 - (-8 - (-172)/8)? -13 Calculate (3/(-64))/(17/(-2244)*-33). -3/16 Evaluate (-232)/13 - (0/61 - (-4)/26). -18 Evaluate (-86)/(-129) + (48/(-3024))/((-4)/(-222)). -3/14 Calculate (3/44)/((-6)/(-96)). 12/11 Calculate (-12)/14*8645/(-18525). 2/5 Calculate 1 - (-18)/42*-14. -5 What is the value of 266/54 + ((-209)/44)/(-19)*-20? -2/27 What is -15*((-1598)/(-255))/47? -2 What is (-368)/(-34) - (-486)/2754? 11 Evaluate ((-107 - -8)/33)/((-3)/(-4)). -4 What is the value of (-4953)/(-80899)*56/6? 4/7 129/(-5) - 7*(-15)/12075*-23 -26 (-50)/(-175) + (74/8)/((-840)/32) -1/15 What is (((-385)/(-66))/35)/(2/20)? 5/3 What is (-1 - (-1)/3)*-84*220/(-2464)? -5 Evaluate -11 + (-72)/32*-4. -2 What is the value of (40/25)/(42/(-10) + 4)? -8 What is the value of -8 + 0*8/(-96)? -8 -1 + -6*(-42)/280 -1/10 Evaluate 15/81 - 106/954. 2/27 What is (-18)/(14688/10640) + (-38)/(-969)? -13 What is the value of 85/51*((-168)/(-35))/4? 2 Evaluate (180/(1 + -6))/(-4). 9 Evaluate (-370)/(-20) - 10/(-4) - 5. 16 What is ((-735)/(-7))/(-22 + 40 + -15)? 35 Calculate -2*(-117)/(-18) + 15. 2 What is the value of (60/70)/(4*(-18)/672)? -8 What is ((-1330)/(-532))/((-10)/4*(-28)/20)? 5/7 51*2/(-108) - (-5 + 4) 1/18 -5*((-546)/(-1170) + (-10)/6) 6 Evaluate ((-13)/(-3))/(22/(-66)). -13 Calculate (-37 - 40)*((-4)/10 + (-120)/(-175)). -22 What is 7 - (-630)/(-91) - ((-674)/26 - 3)? 29 (-59 - 1) + 623/(-445)*-15 -39 What is the value of 10/2*1 + (-1770)/330? -4/11 380/280*14 - 17 2 ((2/(-18))/(71/(-639)))/(-1) -1 What is the value of ((-80)/(-15) - 76/12)/((-1)/(-28))? -28 (-13)/(4732/39)*4 -3/7 (-35)/105*((-5)/((-5)/6))/(-2) 1 (1/3 - (-2 + 153/54))*2 -1 What is 85/(-17) - 38/(-3)*(-66)/(-44)? 14 11*(-7)/(7 + -14) 11 What is the value of -1*9 - (62 - (97 - 44))? -18 What is (145/(-58))/(0 - 5 - (-19)/4)? 10 Evaluate 12/(-40) + (-222)/60 - -2*1. -2 Calculate (8/1 - (-2506)/(-126)) + 11. -8/9 What is (-18564)/(-819) + -2 + -21? -1/3 Calculate (-103)/66 + (-1008)/(-672). -2/33 Calculate ((-402)/16)/((-6)/(-4)) + (-1218)/(-1624). -16 (1356/565)/(42/15*-1) -6/7 What is the value of -204*34/(-136) - 28? 23 Evaluate (-1 + 3)*(-78)/52. -3 6/(-51) + (9 - 130/15)*0 -2/17 What is (1/7)/((-314 - -322) + (-58)/7)? -1/2 What is (24/110)/((-9849)/245 + 40)? -12/11 What is 262/7467 - 6633/(-1026)? 13/2 (48 - 46)/(10/(-21) + (-2)/(-6)) -14 6/11*(32/(-112))/(6/7) -2/11 What is ((-12)/26)/(203/7917)? -18 Calculate (-22 - (-459)/119) + 19. 6/7 (3 + -4)*(71 + -77) 6 What is 168/(-63)*(-1 - (-25)/10)*1? -4 What is (-169)/117 + ((-30)/(-34) - (-26)/221)? -4/9 What is the value of 1463/(-49) + -21 + 51? 1/7 What is (-54)/(-21)*((-182)/52 - -7)? 9 Evaluate (-18)/(-3)*812/(-348). -14 What is the value of (-15)/25*(-55)/561? 1/17 What is the value of (7 + 185/(-30))*(-8)/4? -5/3 What is ((-4)/6)/(-5 - (-392)/63)? -6/11 What is the value of -68*(2/8 + (-13)/(1456/42))? 17/2 Evaluate ((-16)/64)/(1650/(-264)). 1/25 Calculate (-3111)/61 + 61 - (5 - 1). 6 Evaluate (-18)/14 + (-8)/(-28) - (-55 + 61). -7 Calculate 1/1 + -38 + (-440)/(-10). 7 What is ((-5568)/1872 - (-2 - 1))*-3? -1/13 Calculate ((-30)/(-970))/(((-6)/24)/(2/12)). -2/97 What is the value of 15*(75/35 - 0 - (-56)/(-49))? 15 What is -4 - 77/(-14) - 12/8? 0 What is ((-1)/(-3))/(1676/15084)? 3 What is the value of (-4)/((-1430)/(-77) - 18)? -7 What is the value of (12 - (1656/60 + -16))*(-5)/3? -2/3 Evaluate 7*(-12)/21 + 9. 5 (231/(-2))/(-21) - (-12)/(-24) 5 What is the value of 85/5 - (-52)/26? 19 What is the value of (-2504)/(-280) + 76/1330 + 0 + 0? 9 What is the value of (2130/(-140) + 15)*(-36)/(-351)? -2/91 1/2*((-234)/1014)/((-9)/(-78)) -1 -4 - (-11 + ((-396)/(-108) - -1*2)) 4/3 Evaluate ((-6)/(-156))/((-14)/40 - (-21)/35). 2/13 Calculate 1/((-2)/21 - (-28 - 2706/(-99))). 7/4 What is (-1)/(-13 - 54/9)? 1/19 Evaluate ((-561)/(-198) - (-1)/(-6))*54/6. 24 3 + 42/(-18) + (-468)/(-27) + 15 33 Evaluate 22/(-99)*(-15)/50. 1/15 ((-240)/(-9))/(-8) + (-425)/(-357) -15/7 Evaluate 24*27/(-108) + 304/50. 2/25 What is the value of (-480)/(-36) + 4/(-12)? 13 Evaluate (-603)/(-1407) + 3*1/(-7). 0 What is 0/(-105) + -7*1? -7 What is the value of (-19)/15*-22 + -13*(-14)/1365? 28 Calculate ((-3)/(-10))/(((-60)/360)/(2/27)). -2/15 (-11)/76 + 6/(-36)*3/(-2) 2/19 Calculate (68/(-4 + 2))/(7 + 13 + -22). 17 What is the value of ((-2)/(-84))/(31/(-62))*6? -2/7 What is the value of 2/5*15/30*(16 + -18)? -2/5 (436/162)/((-2)/(-6)) - (-1714)/(-23139) 8 Calculate ((-3)/(-4))/(2619/(-3276) - (-12)/14). 13 What is the value of (315/(-3150))/((-2)/(-32))? -8/5 Evaluate (-1664)/260 - (36/(-15))/6. -6 Evaluate 75 - (-1332)/(-37) - 35. 4 What is the value of (-9)/7 - -2 - (625 - 622)? -16/7 Calculate -5*(7 + (-3)/(0 + (-4)/(-8))). -5 What is ((-22)/(-5))/((342/45)/(-19))? -11 What is 1474/335*5/2? 11 What is the value of ((-716)/(-48867))/((-2)/(-21))? 2/13 (4 - 19 - (-7178)/485)*10/(-36) 1/18 Evaluate 198/(-76) + (-4186)/2470 + (-18)/(-10). -5/2 What is 140/(-6) - 26468/3054? -32 Calculate 707/42 - 4 - (-18)/(-54). 25/2 Calculate (9/(-12))/((-534)/176 + (32 - 29)). 22 What is the value of (-14194)/1410 + (-4)/(-60)? -10 What is the value of (0*(-18)/558)/(-5*1)? 0 What is the value of (2/2*54/90)/((-2)/30)? -9 What is (-12)/(-69)*228/(-1064)*14/18? -2/69 Calculate 31/3 - (-142)/(-426). 10 (-51)/12 - (-13904)/3520 -3/10 What is (-58)/6*(-210)/(-70)? -29 What is the value of (-4)/(-33)*33/44? 1/11 Calculate (-3 + -4 - -3) + 3920/1000. -2/25 115/((450/3)/5) 23/6 Evaluate (-2)/20 - (7203/270 - 2/(-9)). -27 What is -4*1 - 114/(-27) - (-1168)/(-720)? -7/5 Evaluate (-3)/7 - ((-2)/13 + 3684/(-5460)). 2/5 18/(-140) + 24/56 3/10 Calculate (3 + -2)/(5/3 - 192/(-1152)). 6/11 What is the value of -3 + (8/10)/(-2) + 14496/(-1510)? -13 What is the value of 2/(-5) - 84/(-285)? -2/19 Evaluate 1/(-5 - -4) + 169/(-143)*-1. 2/11 Calculate ((-153)/374)/((-3)/(-4)*-1). 6/11 Evaluate (119/(4165/(-210)))/(10/(-6) - -1). 9 Calculate (-6)/51*(10 + (-380)/40). -1/17 Calculate ((-2)/(-50))/((-5 - 0) + 165/30). 2/25 6251/1269 - (-10)/1*8/(-16) -2/27 Calculate (44/(-220) - 9/(-15)) + 2. 12/5 14 + (-86 - -69) + 1*34 31 21/((-16800)/704)*-25 22 What is 1/((-627)/(-9)) + ((-129)/33 - -4)? 2/19 6*(9/70 + 41/(-205)) -3/7 Evaluate (((-17)/(-238))/(3/24))/((-6)/147). -14 Evaluate 38/15 + -24*57/6840. 7/3 What is the value of (-114579)/1756*(-4)/9? 29 Evaluate 1*2*(6 + ((-17405)/(-50))/(-59)). 1/5 ((110/25)/(12/(-60)))/(1*2) -11 What is (-51)/255 + 544/(-180) + (-4)/(-18)? -3 What is the value of ((-15)/10)/((-18)/(-108))? -9 What is the value of (20/6)/((-147)/441)? -10 Evaluate (355200/(-9361))/(-32) - 4/(-46). 14/11 What is the value of -4*(-5)/(-240) + 0? -1/12 What is the value of ((2 - 5)/3)/((-62)/(-186))? -3 1/2 - 2002/308 -6 What is the value of (-52)/26 + (11 - -7)? 16 (-199)/11 - 1240/1364 -19 What is the value of (38/(-114))/(-1 - 13/(-11))? -11
{ "pile_set_name": "DM Mathematics" }
be (-90)/25*(-5)/2. Suppose h*z - 12*z = -1497. Is z a prime number? True Let u(v) = 9 + 1 - 16 + 15 + 18*v**2 - 10*v. Is u(6) composite? True Let d(n) = -n**2 - n. Let p(b) = -2*b**2 - 40*b + 53. Let l(u) = 3*d(u) - p(u). Is l(26) composite? False Suppose 0 = -3*h + 41911 + 51470. Is h a composite number? True Suppose -74 - 1 = -5*y. Is ((-5)/y)/((-1)/477) a composite number? True Suppose 5*m - 2*x - 1 = 1, -4*x + 22 = 3*m. Suppose 0 = 3*g - 2*d - 5885, m*g - 3923 = 4*d - 3*d. Is g composite? True Suppose 2*a = -h - 4, -h - 12 = 10*a - 6*a. Let i(l) = -1 - 2*l**2 + 4 + 12*l**2. Is i(a) a prime number? True Let i = -642 + 973. Is i prime? True Suppose -q = o - 1034, 0 = 5*o - 3*q - 5436 + 226. Is o a prime number? True Let k(q) = 16*q**2 + 20*q - 5. Is k(-6) a composite number? True Let k(c) = 1429*c**3 + 2*c**2 - 2*c + 1. Let w be k(1). Suppose -6*r + w = 4*r. Is r composite? True Let t(c) = -920*c - 39. Is t(-8) prime? True Let t(s) = 22*s**2 + 2 + 1 + s**2 + 2*s - 6. Let g be t(-8). Suppose -2*c + 121 + g = 0. Is c a composite number? False Suppose 5*r + 667 = 6*r. Let x = -270 + r. Is x prime? True Let k = 1522 + 1723. Let f = k + -1452. Is f a composite number? True Let t = 4624 + 9321. Is t a composite number? True Let z(m) = -m**3 + 14*m**2 - 15*m + 2. Let w be z(12). Let y be (-3)/(-5) - w/(-25). Suppose 0 = y*h - 128 - 357. Is h a prime number? True Suppose 10 - 16 = h. Is (-5944)/h + (-1)/(-3) prime? True Is (94876/16)/(-3 - 39/(-12)) prime? True Let y(b) = 95822*b + 47. Is y(1) prime? True Let t(l) = 222*l**2 + 6*l + 7. Suppose -4*c - 6*c = 30. Is t(c) a prime number? True Suppose -3*c + 3 = -3. Let h be 0 + (-144)/(-10) - 6/15. Suppose n + 4*v = h, -4*v = -5*v + c. Is n a prime number? False Let y(s) = -s**3 + 6*s**2 + 8*s - 5. Let x be y(7). Is (7/x)/((-1)/(-206)) prime? False Suppose 0 = 5*c - 2*n - 3, -c - 2*n - 9 = -0*c. Is (c + 1)/(-3) - (-7 - 496) a composite number? False Let z be 3/(-4)*(-12)/3. Is 1*(-1082)/z*3/(-2) a prime number? True Let p(i) = 5*i**2 - 3*i + 3. Let g be p(3). Let h = 226 - g. Is h a composite number? True Let t(o) = o**3 + 12*o**2 + 10*o - 8. Let l be t(-11). Suppose 5*b - 112 = -l*b. Is b prime? False Let f = 679 + -474. Let i = f - -102. Is i a prime number? True Suppose -11 - 1 = -4*w. Suppose -w*u = -6*u + 12. Suppose 0 = -m + u*m - 57. Is m composite? False Let v be (-2 - 44/(-16))/(9/24). Suppose 206 = 2*z - d - 240, -446 = -v*z + 2*d. Is z a prime number? True Let x = 992 + 323. Let g = -734 + x. Is g a composite number? True Let a = 148 - -339. Is a a composite number? False Let p = -49001 + 89324. Is p prime? False Let u(i) = 3*i + 18. Let c be u(0). Let r(w) = w**3 - 17*w**2 + 12*w - 29. Is r(c) a composite number? True Suppose -n = 3*j - 22, -3*n = -4*j - j + 32. Is (-2 + j/3)*1227 a prime number? True Suppose 8*t - 4*t = 20. Let o(k) = -k**3 + 4*k**2 + 7*k - 7. Let g be o(t). Is (-1)/(-2*g/2670) composite? True Suppose 0 = -6*l + 5*l + 1241. Suppose -2*h = 171 - l. Is h prime? False Let n(o) = 4*o**3 - o**2 + 1. Let x be n(1). Suppose -h = -x*w + 3793, 4628 = 5*w + 2*h - 97. Is w a composite number? False Suppose 11324 + 1927 = 3*z. Is z a composite number? True Let y be 4548/18*(-21)/(-2). Suppose -12795 = -8*f + y. Is f a composite number? False Suppose -2*g + 3725 - 1105 = -b, 5*g + 3*b = 6539. Suppose -281 = -x - 2*d + 6*d, -4*d = 5*x - g. Is x prime? False Suppose -5*k - 13 = -2*y, -2*k - 9 = -3. Is 36 + -32 - (-414 - y) composite? True Let h(v) be the second derivative of v**5/20 - v**4/12 - 3*v**3/2 + v**2 - 2*v. Let q be h(7). Suppose m = l + 3*m - q, -5*l + 5*m = -1090. Is l a prime number? True Suppose 18*y + 26 = 31*y. Suppose -3*i + 3*j = -906, 0 = 2*i - y*j + j - 609. Is i a prime number? True Is 46196/(-12)*(6 + -9) a prime number? True Let q = 5 - 19. Let u be q/(-3) - (-14)/(-21). Let r(w) = w**3 + w**2 + 2*w - 1. Is r(u) composite? True Suppose -3*q + 6 = -0, s = -2*q + 759. Suppose 3*k + 2*i - s = 0, -2*k + 3*i + 2*i = -516. Is k a composite number? True Let m(p) be the second derivative of p**5/20 - 5*p**4/12 + 5*p**3/6 - 5*p**2/2 - 6*p. Let d be m(4). Is 4*((-503)/(-4) + d) prime? True Suppose -2*x + 4 = 0, -4*n + 0*n + x + 26930 = 0. Is n composite? False Suppose -x - 21634 = -6*x + v, 2*v = 2. Is x a prime number? True Let h(k) = -15*k - 3. Suppose 10*w = 8*w + 72. Let t = 32 - w. Is h(t) prime? False Let s(g) = -g**3 - 12*g**2 - 7*g + 24. Let k be s(-11). Is (-3175)/k*2*2 a prime number? False Is ((-1 - -2) + -7)*(-391687)/258 prime? True Suppose 48*m - 51*m = -311739. Is m a composite number? False Let v(z) = z**3 - 19*z**2 + 177*z + 32. Is v(45) composite? False Let h be (-844)/(-6)*(9 + -6). Suppose h = 2*c - 0*c. Is c a prime number? True Let c = 27 - -613. Let g = -386 + c. Is g a prime number? False Let z = -645 + 927. Suppose -564 = -2*l - 5*i, -3*l + 2*l + z = -5*i. Let n = -47 + l. Is n a composite number? True Let f(p) = 223*p**3 + 2*p**2 - 2*p + 7. Is f(2) composite? True Let q(j) = -800*j - 5. Let z be q(-3). Suppose -4*o - o - m = -z, -5*m - 1916 = -4*o. Is o a prime number? True Let p be 0 + (277 - (0 - 0)) - 4. Suppose 4*b + k = 474, 5*b - 3*k = 311 + p. Is b a prime number? False Suppose -4*c = 8 - 16. Is (-1 - (-15078)/(-4))/((-1)/c) prime? True Let m(d) = -1115*d - 6. Let a be m(-6). Suppose -4*u = -2*u - a. Let c = u + -1865. Is c composite? True Let d be (40/4 - 2) + 1. Suppose -8*w - 16 = -d*w. Suppose -u - w = -50. Is u a composite number? True Is 1/(5/(-958895)*-7) a composite number? False Let h(v) = 5*v**2 - 8*v**2 - 2*v + 4*v**3 + 11 - 24. Is h(4) a prime number? False Let v(z) = -8789*z**3 + 4*z**2 + 14*z + 6. Is v(-2) a prime number? False Is (1733/7)/(((-5)/35)/(-1)) a composite number? False Suppose -6*n + 3*n - 17233 = -2*m, -3*m + 25807 = 4*n. Is m a prime number? True Let w = -29 - -34. Suppose w*o = 4*o + 3. Suppose 1062 = 4*p + j, -6*p + 3*p = o*j - 801. Is p a prime number? False Let b be (-2)/7 + 58/7. Suppose -5*t + t = -b. Suppose 0 = t*v - 2*l - 322, v + 4*v = -l + 817. Is v a prime number? True Suppose -3*v - 4*v + 5803 = 0. Suppose 16*h - v = 15*h. Is h a composite number? False Suppose 3*y - 2 = 49. Suppose -12*m - 2345 = -y*m. Is m composite? True Suppose 0 = -5*x + 2*k - 5*k + 7361, -5*k + 4423 = 3*x. Is x prime? True Is (2284/5)/(12/30) prime? False Suppose -12 = 2*h + h. Is (-66)/9*102/h composite? True Suppose -20*s = -25*s + 15. Suppose 2*q = -5*n - 64, -s*q = 2*n + 90 - 16. Is (q/(-66))/(1/951) composite? False Let n = 1 + -7. Let v be (215/(-10))/(1/n). Is v + 4/(-6)*3 a composite number? False Suppose -20*b + 64799 = -13*b. Is b a composite number? False Let l be 12/4 - 0 - (4 - 2). Is -1*(-4 + l) - -362 composite? True Suppose 760 = 2*i + 4*g, 3*g - 65 = i - 460. Suppose -2*q - 2*q + 4*u = 116, -q + 4*u = 17. Let a = i - q. Is a a composite number? False Suppose 9*n = 5*n - 48. Is 879/(-9)*n/4 prime? True Let i(l) = -31*l + 39. Let w(s) = 16*s - 20. Let g(p) = 6*i(p) + 14*w(p). Let d(u) = 25*u - 31. Let n(k) = 7*d(k) - 5*g(k). Is n(-10) a composite number? False Suppose -5*b + 28543 = 3*i, -1995 = -i + 3*b + 7538. Is i prime? True Let b(d) = -d**3 - 15*d**2 - 19*d + 48. Let c be b(-15). Suppose 81*n - c = 78*n. Is n prime? False Let z(d) = -d**2 - 21*d - 1. Let n(h) = 3*h - 27. Let t be n(7). Is z(t) prime? True Let k(f) = -3*f**3 - 6*f**2 - 24*f - 112. Is k(-11) a composite number? True Let j be (-1)/3*-29 + (-2)/3. Suppose -j*z + 11*z - 596 = 0. Is z a composite number? True Suppose -5*i = y - i - 267, 3*y - 761 = -2*i. Is y a composite number? False Let x(w) = 9*w**3 + 35*w**2 - w + 42. Is x(13) composite? False Let v(g) = g**2 - 13*g + 15. Let z be v(12). Suppose -z*c + 451 = 160. Is c prime? True Let t(l) = -3*l. Let i = 12 + -29. Is t(i) prime? False Suppose -n + 16200 = -5*c, 3*n + 6480 = -2*c + 6*n. Let f = -1317 - c. Is f a composite number? True Let s(v) = -v**2 + 5*v - 1. Let x be s(3). Suppose -600 + 177 = -x*h + 2*k, -4*h - 4*k + 316 = 0. Is h a prime number? True Let a = 7 - 4. Suppose a*i - 20 = -i. Suppose -2*l - i*p = -71, 2*p = -3*l - 0*p + 101. Is l a prime number? False Suppose 0 = 5*a - t + 15 + 13, -2*t + 2 = -a. Let h be (3/(-2))/(3/a). Suppose -5*d = -5*c - h*d + 789, c - 155 = -d. Is c
{ "pile_set_name": "DM Mathematics" }
4 + n**5/30 + 17*n**4/24 + 1007*n**2 - 3*n. Find the third derivative of i(g) wrt g. 15510 Suppose 4*a = 5*i + 40, 3*a - 11 = -i - 0*i. What is the second derivative of 1 - v - 1382*v**5 + 11*v + 1357*v**a wrt v? -500*v**3 Let x(m) be the first derivative of 551*m**3/3 - 1388*m + 195. What is the derivative of x(l) wrt l? 1102*l Suppose 4*a = -2*b - 6 + 28, -5*b + 29 = -3*a. Suppose -2*x - 50 = -b*x. Find the third derivative of x*i**4 - 343 - 11*i**2 + 343 wrt i. 240*i Let y(r) be the first derivative of 1/2*r**2 + 38/3*r**3 - 41 + 0*r**4 + 7/6*r**6 + 0*r - 1/5*r**5. Find the third derivative of y(i) wrt i. 420*i**2 - 24*i Let n(r) = 13383*r**2 + 18*r + 594. Let j(z) = 26761*z**2 + 42*z + 1189. Let k(m) = -4*j(m) + 9*n(m). What is the second derivative of k(i) wrt i? 26806 Let z(a) be the third derivative of 0 + 222*a**2 + 0*a - 119/6*a**3 + 0*a**4 + 91/60*a**5. Differentiate z(s) wrt s. 182*s Let n(r) be the third derivative of 7*r**4/4 - 970*r**3/3 + 1909*r**2. Differentiate n(t) with respect to t. 42 Find the third derivative of -12 + 59*y**2 - 148*y**2 - 12 + 5048*y**3 + 50*y**2 + 51*y**2 wrt y. 30288 Let g be (-1 - -3)/(3/24). What is the second derivative of -5 - g*t - 2 - 25*t**2 + 9 + 0 wrt t? -50 What is the second derivative of -30*l**3 + 1794*l**2 - 8320*l + 2 - 3585*l**2 - 1 + 1717*l**2 wrt l? -180*l - 148 Let y(p) be the second derivative of 1 - 17*p - 23/6*p**6 + 0*p**4 - 1/20*p**5 - 91/2*p**2 + 0*p**3. Differentiate y(a) wrt a. -460*a**3 - 3*a**2 Let j be 2/5 + (-3)/(165/(-2233)). What is the third derivative of -59*w**4 - j*w**4 - 10*w**2 + 11*w**4 - 35*w**2 wrt w? -2136*w Let a(g) = g**2 + g + 1. Suppose 30*t + 24 + 126 = 0. Let z(o) = -8*o**3 + 5*o**2 + 2*o + 181. Let d(m) = t*a(m) + z(m). Differentiate d(i) with respect to i. -24*i**2 - 3 Let i(y) be the first derivative of 18*y**5 - 2086*y - 2066. What is the first derivative of i(j) wrt j? 360*j**3 Let q(c) be the second derivative of -1033*c**5/20 + 149*c**4/12 + c**3/6 + 9*c**2/2 + 362*c + 3. What is the third derivative of q(b) wrt b? -6198 Let q(x) be the third derivative of -3*x**6/40 + 5*x**4/12 - 1991*x**3/6 - 4*x**2 - 314*x. Differentiate q(w) with respect to w. -27*w**2 + 10 What is the second derivative of -2240*h + 2262*h + 186*h**2 + 28 + 7126*h**2 + 57 wrt h? 14624 Find the third derivative of 8*i + 8*i - 19*i - 6225*i**3 + 29 - 7*i**2 - 2*i + 9*i**2 wrt i. -37350 Let a(j) be the second derivative of 4181*j**6/15 - 1805*j**3/2 - 4*j - 260. What is the second derivative of a(x) wrt x? 100344*x**2 Suppose l = 5*t + 3*l + 5, 0 = -5*t - l - 5. Let s = t - -2. Find the first derivative of 44*r**3 + r + s - 82*r**3 - r wrt r. -114*r**2 Find the third derivative of -4*n + 136*n**2 + 1644 + 1650 + 4*n**5 - 5*n**3 - 3294 wrt n. 240*n**2 - 30 Suppose -2*q + 5 = -a - 4, 4*q - 3*a = 17. What is the third derivative of -2*i**2 + 2112*i**q - 2037*i**5 - i + 5*i wrt i? 4500*i**2 Let k(d) be the first derivative of 275*d**6/2 + 124*d**3/3 - d**2/2 + 1036. What is the third derivative of k(j) wrt j? 49500*j**2 Let u(y) be the third derivative of 743*y**6/120 - 385*y**3/2 - 10*y**2 - 30*y. Differentiate u(v) wrt v. 2229*v**2 Suppose 5*l - 2*j - 27 = 0, -j - 10 = -3*l - 6*j. Let h be (-1)/(0 - (-4)/(-20)). Find the second derivative of 10*f**l - 10*f - 4*f**h - 9*f**5 wrt f. -60*f**3 Differentiate -7183*h + 14 + 92 + 1849*h wrt h. -5334 Let n(t) be the second derivative of 0*t**5 + 2/3*t**3 + 0*t**6 + 0 + 0*t**2 - 5/7*t**7 + 1/4*t**4 + 73*t. Find the third derivative of n(j) wrt j. -1800*j**2 Suppose 0 = 4*i + 5*d - 3801, -1868 = -2*i - 3*d + 7*d. What is the derivative of 3*s**4 + 2*s**4 - 967 + i - 3*s**4 + 4*s wrt s? 8*s**3 + 4 Let h = 304 + -300. Find the third derivative of 2*n**5 - 10*n**4 - 252*n**2 + 8*n**4 + 34*n**4 + 22*n**h wrt n. 120*n**2 + 1296*n Let v(i) be the first derivative of 23*i**2 + 6*i + 146 + 7 + 102 - 40 - 11. What is the first derivative of v(b) wrt b? 46 Differentiate -1135*y - 4856*y - 343*y - 268*y - 3336 + 701*y wrt y. -5901 Let i(j) = 14*j**3 + 2. Let k(d) = -1639*d**3 - 1730*d**2 + 8. Let u(n) = -4*i(n) + k(n). Find the third derivative of u(t) wrt t. -10170 Let y(n) be the first derivative of -2*n**5/5 + 245*n**3 + 297*n + 2133. What is the first derivative of y(r) wrt r? -8*r**3 + 1470*r Find the first derivative of -5628 + 1457 - 14278*n**4 + 4694*n**4 - 4772*n**4 wrt n. -57424*n**3 Suppose 1244 = 13*c - 654. What is the first derivative of 32 - c*q - 8 + 172 wrt q? -146 Let n be 0 + 3 - (-44 - (-12 + 6)). Find the second derivative of 45*v + v**2 - 6 - 12*v**5 - n*v + 3 wrt v. -240*v**3 + 2 Find the third derivative of 80*w**2 - 20*w**6 - 42*w**3 + 8*w**6 + 10*w**6 + 175*w**3 + 1 wrt w. -240*w**3 + 798 Let y(d) be the third derivative of -4061*d**7/210 - 5311*d**3/6 - 8281*d**2. Differentiate y(f) wrt f. -16244*f**3 What is the second derivative of 66*b**4 + 9 - 4*b + b**2 - b**2 - 601*b**4 - 1071*b**4 wrt b? -19272*b**2 Let i(z) = -21*z + 7. Let q(o) = -104*o + 35. Let b be 23/2 + (-5)/10. Suppose 2*c - c = b. Let p(f) = c*i(f) - 2*q(f). Differentiate p(j) with respect to j. -23 Let g = 1388 + -1386. Let m(n) be the first derivative of -23 + 0*n**3 + 0*n**4 - 6*n - 14/5*n**5 + 0*n**g. Find the first derivative of m(l) wrt l. -56*l**3 Let i be 25/(-15)*(3 + 3). Let u be -1*2*15/i. What is the third derivative of 3 + 2*a**2 + 4*a**4 - 3 - u*a**2 wrt a? 96*a Let q(s) be the second derivative of -s**7/42 + s**6/15 - 35*s**4/12 - 16*s**3/3 + s**2 + 879*s - 1. Find the second derivative of q(w) wrt w. -20*w**3 + 24*w**2 - 70 Let d(w) = -2593*w + 4188. Let m(s) = 15558*s - 25009. Let f(q) = -34*d(q) - 6*m(q). What is the derivative of f(v) wrt v? -5186 Find the second derivative of -212*z - 388*z**2 + 28*z**4 + 409*z**2 - 18*z wrt z. 336*z**2 + 42 Let l(d) be the third derivative of 1237*d**7/210 + 11*d**5/12 + 19*d**3/6 - 536*d**2 - 2. Find the third derivative of l(r) wrt r. 29688*r Let i be 1/(1/2) + -2 - -4. What is the second derivative of 232*n - 63*n**i - 230*n + 82 + 72 - 101*n**4 wrt n? -1968*n**2 Let n(m) be the first derivative of -3*m**4/8 + 19*m**3/2 - m**2 + 37*m - 56. Let t(h) be the second derivative of n(h). Differentiate t(c) with respect to c. -9 Find the second derivative of 12*c**3 + 8*c**5 + 8*c**3 - 20 + 17*c - 15*c**3 - 3270*c**4 + 3289*c**4 + 7*c wrt c. 160*c**3 + 228*c**2 + 30*c Let l(r) = -3706*r**3 - 6*r**2 - 57*r. Let h(q) = 11118*q**3 + 16*q**2 + 173*q + 5. Let s(n) = 3*h(n) + 8*l(n). Find the second derivative of s(p) wrt p. 22236*p Let n(t) = 2579*t**2 - 746*t + 68. Let i(z) = -20632*z**2 + 5968*z - 579. Let k(m) = -2*i(m) - 17*n(m). What is the second derivative of k(g) wrt g? -5158 Suppose -4*g = q - 7929, 33*g - 31*g = 5*q + 3937. What is the first derivative of -6*s**2 - 7*s**2 + 1859 + s**2 - g wrt s? -24*s Let l be 261/54 + 1/6. Suppose -5*b - l = 4*j, -5*b = -j + 6 - 1. Find the second derivative of -7*y**5 + j*y**5 + y**5 - 7*y + 15*y wrt y. -120*y**3 What is the third derivative of -1524*y**3 - 590101 + 590101 - 1262*y**2 wrt y? -9144 Suppose -3*a = -48 + 6. Let j = 16 - a. Differentiate -7*s**3 + 21 - 12*s**3 - j*s**3 wrt s. -63*s**2 Let j(t) be the second derivative of 2845*t**8/56 - t**6/30 + t**4/4 - 353*t**3/3 - 248*t. Find the third derivative of j(d) wrt d. 341400*d**3 - 24*d Let i(q) be the third derivative of -166*q**5/5 + 17*q**4/6 - 31*q**3/6 - 11952*q**2. What is the second derivative of i(o) wrt o? -3984 Let h(s) = -340*s + 797. Let r(y) = 344*y - 793. Let o(x) = 6*h(x) + 7*r(x). What is the first derivative of o(f) wrt f? 368 Let s(h) be the third derivative of 419*h**7/105 + h**4/3 - 11*h**3/3 + 1411*h**2. Find the second derivative of s(t) wrt t. 10056*t**2 Find the second derivative of -29*f**2 - 15*f**3 + 45*f**2 + 711*f + 1329 - 1329 wrt f. -90*f + 32 Find the third derivative of 2*y - 10 - 28196*y**3 - y + 91*y**2 + 2290*y**5 + 28196*y**3 + 6*y**2 wrt y. 137400*y**2 Let t(o) be the first derivative of -o**6/3 + 7*o**5/5 + o**4/2 - 2*o**3/3 - 2*o**2 + 40*o + 2459. Find the third derivative of t(b) wrt b. -120*b**2 + 168*b + 12 Let v(q) be the second derivative of -5513*q**4/12 + 4*q**3/3 + 31*q**2 - 4462*q. What is the second derivative of v(k) wrt k? -11026 Find the third derivative
{ "pile_set_name": "DM Mathematics" }
765 What is 0.242546g in tonnes? 0.000000242546 Convert 9.078885 months to millennia. 0.00075657375 Convert 965181.1 centimeters to millimeters. 9651811 How many nanometers are there in 6/25 of a micrometer? 240 How many millilitres are there in 5/4 of a litre? 1250 How many micrograms are there in 378.0507 nanograms? 0.3780507 What is 1.225956 nanometers in centimeters? 0.0000001225956 How many grams are there in 6/5 of a kilogram? 1200 Convert 75.57464ml to litres. 0.07557464 How many hours are there in 8/21 of a week? 64 What is 1/24 of a week in minutes? 420 Convert 1.837053 litres to millilitres. 1837.053 How many microseconds are there in twenty-one halves of a millisecond? 10500 How many litres are there in 82.5978 millilitres? 0.0825978 How many millimeters are there in 0.7720989km? 772098.9 What is one tenth of a millimeter in micrometers? 100 How many millimeters are there in 37/5 of a centimeter? 74 How many hours are there in 1/6 of a day? 4 What is twenty-nine halves of a litre in millilitres? 14500 What is 0.8635382 millilitres in litres? 0.0008635382 Convert 26.0014 microseconds to milliseconds. 0.0260014 How many days are there in 2807711.7 hours? 116987.9875 What is 0.1560073ml in litres? 0.0001560073 How many decades are there in twenty-seven fifths of a century? 54 Convert 0.5596897 nanograms to grams. 0.0000000005596897 How many millilitres are there in three tenths of a litre? 300 How many meters are there in twenty-seven halves of a kilometer? 13500 How many millilitres are there in eleven quarters of a litre? 2750 Convert 27.60916 litres to millilitres. 27609.16 How many meters are there in 13/5 of a kilometer? 2600 How many months are there in 8/3 of a year? 32 What is 37.33587 grams in nanograms? 37335870000 What is one fifth of a micrometer in nanometers? 200 What is ten ninths of a week in minutes? 11200 What is 3/25 of a microsecond in nanoseconds? 120 How many centuries are there in 9.188551 millennia? 91.88551 Convert 0.3868967 litres to millilitres. 386.8967 How many hours are there in seventeen quarters of a day? 102 Convert 9.907314 micrometers to nanometers. 9907.314 What is 21/8 of a day in minutes? 3780 How many months are there in 65/3 of a century? 26000 What is 982.5133l in millilitres? 982513.3 How many nanograms are there in one quarter of a microgram? 250 Convert 7.39616 decades to months. 887.5392 How many millilitres are there in twenty-seven fifths of a litre? 5400 Convert 60090.14 tonnes to kilograms. 60090140 How many millilitres are there in 3/8 of a litre? 375 How many nanoseconds are there in fourty-two fifths of a microsecond? 8400 What is 79/2 of a litre in millilitres? 39500 How many kilometers are there in 5016.589um? 0.000005016589 How many millilitres are there in 1/20 of a litre? 50 Convert 499657.2 tonnes to milligrams. 499657200000000 How many days are there in 26581.4406 milliseconds? 0.0003076555625 How many milligrams are there in 13/5 of a gram? 2600 How many months are there in 17/6 of a century? 3400 How many meters are there in 45/4 of a kilometer? 11250 What is 64/5 of a milligram in micrograms? 12800 Convert 0.2979408l to millilitres. 297.9408 What is seven eighths of a gram in milligrams? 875 Convert 83.00754ns to microseconds. 0.08300754 Convert 8346.337 nanograms to grams. 0.000008346337 How many meters are there in 1/20 of a kilometer? 50 Convert 1723.54um to meters. 0.00172354 Convert 0.1998993ml to litres. 0.0001998993 How many months are there in 7993.906 millennia? 95926872 How many millimeters are there in twenty-five halves of a meter? 12500 Convert 74368.7 tonnes to grams. 74368700000 How many minutes are there in 2846.9865s? 47.449775 What is 3/8 of a milligram in micrograms? 375 What is twenty-one eighths of a century in months? 3150 What is five quarters of a kilogram in grams? 1250 How many centimeters are there in 1/16 of a kilometer? 6250 Convert 103026.9 years to centuries. 1030.269 What is 27/4 of a litre in millilitres? 6750 Convert 1.679254 milligrams to nanograms. 1679254 What is fifty-nine quarters of a day in minutes? 21240 What is one quarter of a kilogram in grams? 250 How many millimeters are there in 75/2 of a meter? 37500 How many weeks are there in 17180.21907ms? 0.000028406446875 What is 0.0272478 millennia in centuries? 0.272478 What is three tenths of a century in months? 360 How many centimeters are there in 1.598483um? 0.0001598483 How many decades are there in 9.831965 years? 0.9831965 What is 6080.647 nanometers in millimeters? 0.006080647 Convert 1024.408ml to litres. 1.024408 What is nine tenths of a kilometer in meters? 900 What is one quarter of a day in minutes? 360 How many years are there in 11/4 of a century? 275 What is 3951.783 tonnes in milligrams? 3951783000000 What is 667.7614 meters in micrometers? 667761400 What is 632.7541l in millilitres? 632754.1 What is thirty-two fifths of a millennium in years? 6400 How many millimeters are there in eleven eighths of a meter? 1375 How many millilitres are there in 6/25 of a litre? 240 What is twenty-one eighths of a microgram in nanograms? 2625 Convert 844.1346us to minutes. 0.00001406891 Convert 2534.24 years to decades. 253.424 How many nanometers are there in 1/5 of a micrometer? 200 What is 3/25 of a tonne in kilograms? 120 What is 205.3695kg in milligrams? 205369500 How many nanograms are there in 53/5 of a microgram? 10600 What is 2.818871 tonnes in milligrams? 2818871000 What is 21/2 of a litre in millilitres? 10500 Convert 0.443859 months to millennia. 0.00003698825 What is eleven halves of a kilometer in meters? 5500 What is 638684.3 tonnes in nanograms? 638684300000000000000 What is five eighths of a millimeter in micrometers? 625 How many centimeters are there in 302479.5 kilometers? 30247950000 How many months are there in one twentieth of a millennium? 600 Convert 167098.4 millilitres to litres. 167.0984 What is one tenth of a kilogram in milligrams? 100000 Convert 668172.3 microseconds to seconds. 0.6681723 What is 3/8 of a decade in months? 45 How many millimeters are there in 9/10 of a meter? 900 How many micrometers are there in 71.90696cm? 719069.6 What is 915.9256 millilitres in litres? 0.9159256 What is 0.2543504 litres in millilitres? 254.3504 How many weeks are there in 184177986.3ns? 0.00000030452709375 How many kilograms are there in 495.6195ug? 0.0000004956195 Convert 1802.147nm to centimeters. 0.0001802147 What is 171019.7 litres in millilitres? 171019700 Convert 332739.6km to meters. 332739600 How many micrograms are there in 11/2 of a milligram? 5500 How many nanograms are there in 34/5 of a microgram? 6800 How many centimeters are there in 56337.2 nanometers? 0.00563372 How many months are there in four thirds of a century? 1600 What is 21/5 of a litre in millilitres? 4200 What is 82856.36ml in litres? 82.85636 Convert 34.0967ml to litres. 0.0340967 Convert 61927.38ug to tonnes. 0.00000006192738 What is seventy-one quarters of a micrometer in nanometers? 17750 What is 3/10 of a litre in millilitres? 300 What is five quarters of a decade in months? 150 How many hours are there in twenty-one quarters of a day? 126 How many micrograms are there in 18.23928 kilograms? 18239280000 How many seconds are there in three tenths of a hour? 1080 How many years are there in 9.888775 centuries? 988.8775 How many microseconds are there in 802.2085s? 802208500 What is 0.3324826 centuries in decades? 3.324826 What is 1263.8157 milliseconds in minutes? 0.021063595 How many grams are there in 62.01736ug? 0.00006201736 What is 0.2595376 decades in years? 2.595376 How many seconds are there in 1/6 of a hour? 600 Convert 586.6427 kilograms to grams. 586642.7 What is 7666.216 millilitres in litres? 7.666216 How many millilitres are there in 27/2 of a litre? 13500 How many millilitres are there in 1/5 of a litre? 200 How many seconds are there in twenty-six fifths of a minute? 312 How many micrometers are there in 34/5 of a centimeter? 68000 What is three fifths of a centimeter in millimeters? 6 How many months are there in 53371.72 centuries? 64046064 How many milligrams are there in 54.53098 grams? 54530.98 What is 286.16199 months in years? 23.8468325 How many nanograms are
{ "pile_set_name": "DM Mathematics" }
What is the d'th term of 25733, 51485, 77239, 102995? d**2 + 25749*d - 17 What is the j'th term of 10847, 22374, 33901, 45428? 11527*j - 680 What is the w'th term of -1202, -1211, -1264, -1391, -1622, -1987, -2516? -5*w**3 + 8*w**2 + 2*w - 1207 What is the k'th term of 4055, 32147, 108385, 256841, 501587, 866695, 1376237, 2054285? 4012*k**3 + k**2 + 5*k + 37 What is the m'th term of 2793, 10592, 18391, 26190? 7799*m - 5006 What is the k'th term of 78593, 78596, 78597, 78596, 78593? -k**2 + 6*k + 78588 What is the i'th term of -58, -204, -304, -322, -222, 32, 476? 6*i**3 - 13*i**2 - 149*i + 98 What is the m'th term of -5069, -4991, -4913, -4835, -4757, -4679? 78*m - 5147 What is the b'th term of 402439, 1609776, 3622009, 6439138? 402448*b**2 - 7*b - 2 What is the i'th term of 30202, 25174, 16794, 5062, -10022, -28458? -1676*i**2 + 31878 What is the y'th term of 6876, 55135, 186148, 441297, 861964, 1489531, 2365380, 3530893? 6897*y**3 - 5*y**2 - 5*y - 11 What is the x'th term of 25, 784, 2861, 6922, 13633, 23660, 37669, 56326? 111*x**3 - 7*x**2 + 3*x - 82 What is the c'th term of 5031, 10011, 14989, 20001, 25083? 6*c**3 - 37*c**2 + 5049*c + 13 What is the k'th term of -19249, -76972, -173167, -307828, -480949, -692524, -942547? k**3 - 19242*k**2 - 4*k - 4 What is the n'th term of -94557, -189618, -284679, -379740, -474801? -95061*n + 504 What is the y'th term of 3825924, 3825944, 3825964, 3825984, 3826004, 3826024? 20*y + 3825904 What is the a'th term of 84207, 84020, 83699, 83238, 82631, 81872? -a**3 - 61*a**2 + 3*a + 84266 What is the d'th term of -25273, -25309, -25345, -25381? -36*d - 25237 What is the i'th term of 7935280, 7935285, 7935294, 7935307, 7935324, 7935345, 7935370? 2*i**2 - i + 7935279 What is the i'th term of 13889, 13104, 12311, 11504, 10677, 9824, 8939? -i**3 + 2*i**2 - 784*i + 14672 What is the c'th term of 3596974, 3596990, 3597004, 3597016, 3597026? -c**2 + 19*c + 3596956 What is the x'th term of 1370, 2173, 3512, 5387, 7798, 10745? 268*x**2 - x + 1103 What is the a'th term of -555360, -556673, -558860, -561921, -565856, -570665, -576348? -437*a**2 - 2*a - 554921 What is the c'th term of 12944, 10018, 7090, 4160, 1228, -1706? -c**2 - 2923*c + 15868 What is the q'th term of 3689, 17504, 40535, 72788, 114269? q**3 + 4602*q**2 + 2*q - 916 What is the l'th term of 1649473, 1649428, 1649383, 1649338, 1649293, 1649248? -45*l + 1649518 What is the s'th term of -261891, -262083, -262275? -192*s - 261699 What is the m'th term of -2717990, -2718017, -2718090, -2718233, -2718470, -2718825, -2719322? -4*m**3 + m**2 - 2*m - 2717985 What is the o'th term of 1121830, 1121818, 1121806, 1121794, 1121782? -12*o + 1121842 What is the c'th term of 71958, 72105, 72252, 72399? 147*c + 71811 What is the h'th term of -4429471, -8858944, -13288417? -4429473*h + 2 What is the o'th term of -15654433, -15654459, -15654487, -15654517, -15654549, -15654583, -15654619? -o**2 - 23*o - 15654409 What is the q'th term of -605297, -1210585, -1815857, -2421107, -3026329, -3631517? q**3 + 2*q**2 - 605301*q + 1 What is the h'th term of 177, 1045, 3441, 8133, 15889, 27477, 43665, 65221? 128*h**3 - 4*h**2 - 16*h + 69 What is the a'th term of -8159014, -16318044, -24477074? -8159030*a + 16 What is the p'th term of -408659, -408669, -408679, -408689, -408699, -408709? -10*p - 408649 What is the a'th term of 8209, 5149, 2093, -959, -4007, -7051? 2*a**2 - 3066*a + 11273 What is the z'th term of 566, 1912, 5454, 12254, 23374? 177*z**3 + 36*z**2 - z + 354 What is the z'th term of 2683869, 10735488, 24154855, 42941970, 67096833, 96619444? 2683874*z**2 - 3*z - 2 What is the p'th term of 406, 117, -386, -1091, -1986, -3059, -4298, -5691? 2*p**3 - 119*p**2 + 54*p + 469 What is the s'th term of 923283, 3693098, 8309445, 14772324, 23081735, 33237678, 45240153? 923266*s**2 + 17*s What is the u'th term of 12706, 51090, 115062, 204622, 319770? 12794*u**2 + 2*u - 90 What is the i'th term of -22168, -44533, -66898, -89263, -111628? -22365*i + 197 What is the w'th term of -46, -1099, -3092, -6019, -9874, -14651? w**3 - 476*w**2 + 368*w + 61 What is the k'th term of -43721, -41639, -39561, -37487, -35417, -33351? -2*k**2 + 2088*k - 45807 What is the v'th term of -10849313, -10849308, -10849303? 5*v - 10849318 What is the i'th term of 1597380, 1597389, 1597398, 1597407, 1597416? 9*i + 1597371 What is the d'th term of -2325, -4287, -6249, -8211, -10173, -12135? -1962*d - 363 What is the t'th term of 3997, 16841, 51741, 119725, 231821? 1838*t**3 - 22*t + 2181 What is the t'th term of 1260338, 1260371, 1260406, 1260443, 1260482? t**2 + 30*t + 1260307 What is the i'th term of 23052, 184449, 622528, 1475631, 2882100, 4980277, 7908504, 11805123? 23057*i**3 - i**2 + i - 5 What is the h'th term of -4882, -6720, -9784, -14074, -19590, -26332? -613*h**2 + h - 4270 What is the k'th term of -4577, -4307, -3627, -2351, -293, 2733, 6913? 31*k**3 + 19*k**2 - 4*k - 4623 What is the i'th term of 226, 494, 916, 1474, 2150, 2926, 3784? -3*i**3 + 95*i**2 + 4*i + 130 What is the o'th term of -202212075, -404424148, -606636221, -808848294, -1011060367? -202212073*o - 2 What is the h'th term of -5486, -10740, -15994? -5254*h - 232 What is the i'th term of 2401, 1737, -57, -3545, -9291, -17859? -94*i**3 - i**2 - 3*i + 2499 What is the y'th term of 790948, 790630, 790312, 789994, 789676? -318*y + 791266 What is the t'th term of 30720, 245611, 828770, 1964295, 3836284, 6628835, 10526046, 15712015? 30683*t**3 + 36*t**2 + 2*t - 1 What is the p'th term of -4026, -15796, -35472, -63060, -98566? -p**3 - 3947*p**2 + 78*p - 156 What is the d'th term of 1104003, 2208148, 3312431, 4416852, 5521411? 69*d**2 + 1103938*d - 4 What is the c'th term of 1039601, 1039024, 1038447, 1037870? -577*c + 1040178 What is the s'th term of 70011, 140115, 210217, 280317, 350415? -s**2 + 70107*s - 95 What is the k'th term of -10893, -11143, -11389, -11631, -11869, -12103, -12333? 2*k**2 - 256*k - 10639 What is the d'th term of -6261189, -6261254, -6261317, -6261378, -6261437, -6261494, -6261549? d**2 - 68*d - 6261122 What is the x'th term of -150093, -297358, -444625, -591894, -739165, -886438, -1033713? -x**2 - 147262*x - 2830 What is the l'th term of 4174, 9323, 14462, 19591, 24710? -5*l**2 + 5164*l - 985 What is the a'th term of -2070, -4071, -6064, -8049, -10026, -11995, -13956? 4*a**2 - 2013*a - 61 What is the g'th term of 299433397, 299433393, 299433387, 299433379, 299433369, 299433357? -g**2 - g + 299433399 What is the t'th term of 18516, 37571, 56532, 75351, 93980, 112371? -8*t**3 + t**2 + 19108*t - 585 What is the n'th term of 283003, 282983, 282963, 282949, 282947, 282963? n**3 - 6*n**2 - 9*n + 283017 What is the z'th term of 2428, 6137, 9866, 13621, 17408, 21233, 25102? z**3 + 4*z**2 + 3690*z - 1267 What is the h'th term of 4409928, 4409930, 4409932? 2*h + 4409926 What is the b'th term of -1343, -3878, -8099, -14006, -21599, -30878, -41843? -843*b**2 - 6*b - 494 What is the u'th term of 22304, 44586, 66894, 89228, 111588, 133974? 13*u**2 + 22243*u + 48 What is the q'th term of 483291, 483302, 483313, 483324, 483335, 483346? 11*q + 483280 What is the g'th term of -1974, -4553, -7012, -9351? 60*g**2 - 2759*g + 725 What is the s'th term of -88974, -711973, -2402970, -5695965, -11124958? -89000*s**3 + s**2 - 2*s + 27 What is the o'th term of 6446, 7513, 8580? 1067*o + 5379 What is the y'th term of -479137, -958079, -1437021? -478942*y - 195 What is the c'th term of -9709, -9947, -10273, -10687, -11189? -44*c**2 - 106*c - 9559 What is the n'th term of 461464, 922775, 1384086, 1845397? 461311*n + 153 What is the x'th term of -5249, -5523, -5797, -6071? -274*x - 4975 What is the k'th term of 431964, 1727559, 3886884, 6909939, 10796724, 15547239, 21161484? 431865*k**2 + 99 What is the i'th term of 3973381, 7946762, 11920143, 15893524? 3973381*i What is the a'th term of 585090, 585079, 585058, 585021, 584962? -a**3 + a**2 - 7*a + 585097 What is the j'th term of -45635, -91324, -137065, -182858, -228703, -274600, -320549? -26*j**2 - 45611*j + 2 What is the p'th term of 206435996, 412871994, 619307992? 206435998*p - 2 What is the v'th term of 4382048, 8764094, 13146140, 17528186, 21910232, 26292278? 4382046*v + 2 What is the u'th
{ "pile_set_name": "DM Mathematics" }
= 6180*o - 16054. Calculate z(3). 2486 Let h(z) = 19*z**3 + 587*z**2 - 15*z + 51. What is h(-31)? -1406 Let m(y) = -y**3 - 2*y**2 + 1226*y + 4879. Give m(-4). 7 Let u(o) = 811*o + 59332. Give u(-72). 940 Let t(p) = 7627*p - 83907. Determine t(11). -10 Let l(n) = 155832*n - 7012535. Calculate l(45). -95 Let x(y) = -y**3 - 98*y**2 - 758*y - 313. Give x(-8). -9 Let f(g) = -911*g + 41171. Determine f(45). 176 Let s(y) = -2*y**3 + 406*y**2 + 398*y - 18. Determine s(204). -2058 Let r(h) = 2*h**3 - 81*h**2 - 207*h + 3661. Determine r(42). 259 Let p(t) = -10*t**2 - 637*t + 845. What is p(-65)? 0 Let d(l) = -3*l**3 - 54*l**2 + 80*l - 54. Calculate d(-19). -491 Let x(m) = 9*m**2 - 1981*m - 31748. Give x(-15). -8 Let s(p) = 1404*p**2 - 4213*p + 3. Calculate s(3). 0 Let p(k) = -223*k**2 + 2769*k - 11038. What is p(4)? -3530 Let z(h) = 4*h**3 - 10*h**2 - 2*h + 102. Calculate z(4). 190 Let t(r) = 309*r**2 + 8*r + 36. What is t(-2)? 1256 Let s(h) = -383148*h - 14559630. Determine s(-38). -6 Let d(h) = -14*h**2 - 319*h - 2799. What is d(-9)? -1062 Let c(d) = 15*d + 104. Give c(4). 164 Let y(k) = 29*k**2 + 3591*k - 614. What is y(-124)? 6 Let u(l) = 189*l - 47810. Determine u(270). 3220 Let q(b) = -16*b**2 - 134*b - 162. Calculate q(-9). -252 Let y(c) = -12185*c + 1084422. Give y(89). -43 Let q(b) = -130379*b - 1825333. Give q(-14). -27 Let k(x) = 42*x**2 - 6228*x - 10823. Calculate k(150). -23 Let k(u) = -4*u**3 + 15*u**2 + 46*u + 89. Calculate k(-3). 194 Let a(p) = -p**3 - 40*p**2 - 117*p - 3857. Give a(-38). -2299 Let z(g) = 2*g**3 + 11*g**2 - 25*g - 163. What is z(-5)? -13 Let y(w) = 7*w**3 - 406*w**2 + 395*w - 11. Calculate y(57). -239 Let u(z) = 3*z - 1270. Give u(3). -1261 Let c(q) = 12*q**3 - 14*q**2 + 22*q + 57. Calculate c(0). 57 Let g(s) = -s**2 - 62*s + 36. Calculate g(-63). -27 Let u(y) = y**3 - 179*y**2 - 1866*y - 4500. Calculate u(189). 36 Let d(q) = -q**2 + 105256*q - 421016. Calculate d(4). -8 Let y(r) = 21*r**3 + 41*r**2 + 214*r + 426. What is y(-2)? -6 Let h(x) = 2*x**3 + 57*x**2 - 39*x - 4405. Determine h(-26). -11 Let a(g) = -g**2 - 207*g - 6400. Determine a(-39). 152 Let m(y) = -y**3 - 528*y**2 + 5353*y - 14542. Give m(-538). -16 Let g(q) = -883*q + 7083. Determine g(8). 19 Let c(d) = -2*d**3 + 117*d**2 - 568*d + 314. What is c(53)? 1109 Let w(h) = -h**3 - 54*h**2 - 522*h - 198. Give w(-12). 18 Let q(v) = 133*v**2 - 995*v + 202. Determine q(8). 754 Let o(y) = -2*y**3 + 12*y**2 - 1177*y + 5803. What is o(5)? -32 Let r(q) = -161577*q - 484729. Calculate r(-3). 2 Let r(l) = l**3 + 12*l**2 + 1564*l + 15442. Calculate r(-10). 2 Let r(i) = -614*i - 35167. Calculate r(-64). 4129 Let w(t) = -203*t**2 + 663*t - 164. Give w(3). -2 Let a(v) = -33*v**2 + 8869*v - 83395. Determine a(259). 3 Let u(k) = -62249*k + 560227. Determine u(9). -14 Let z(q) = -149*q + 5874. Give z(29). 1553 Let u(k) = k**2 + 358*k + 5911. Give u(-341). 114 Let a(f) = -2*f**3 - 120*f**2 + 117*f - 112. Calculate a(-61). 193 Let n(c) = -301*c**2 + 3613*c + 83. Determine n(12). 95 Let d(w) = -3*w**3 - 10*w**2 + 1701*w - 3373. What is d(2)? -35 Let c(y) = -4315*y - 138089. Give c(-32). -9 Let z(l) = 143*l - 2998. Determine z(28). 1006 Let v(b) = -2*b**2 + 650*b - 15582. What is v(26)? -34 Let f(d) = -24*d**2 + 3392*d + 9221. Calculate f(144). 5 Let p(m) = m**3 + 145*m**2 - 44260*m - 2977. Determine p(-295). -27 Let c(p) = 2973*p + 493453. What is c(-166)? -65 Let n(x) = 12*x**3 + 1534*x**2 - 1803*x + 199. What is n(-129)? -188 Let d(m) = 629*m + 32732. What is d(-52)? 24 Let l(y) = -1035075*y - 6210446. What is l(-6)? 4 Let r(u) = 79*u**2 - 6714*u - 11. Give r(85). 74 Let z(b) = -10*b**3 + 4*b**2 - 635*b - 2553. Give z(-4). 691 Let u(i) = -3856*i - 32945. Calculate u(-9). 1759 Let d(l) = 3*l**3 - 27*l**2 - 113*l + 642. Calculate d(6). -360 Let m(h) = -3*h**3 + 23*h**2 - 21*h + 63. Determine m(8). -169 Let q(j) = j**3 + 35*j**2 - 410*j - 9903. Give q(-39). 3 Let n(d) = d**3 - 22*d**2 + 126*d - 124. Give n(12). -52 Let r(w) = -380*w + 3415. Give r(13). -1525 Let h(o) = -4*o**2 + 1358*o + 15470. Determine h(-11). 48 Let j(m) = 4*m**3 - 203*m**2 - 605*m - 1. Calculate j(-3). -121 Let s(a) = -7*a**3 + 59*a**2 + 67*a - 1009. Determine s(6). 5 Let c(i) = i**3 + 359*i**2 + 31973*i - 1364. Give c(-195). 1 Let c(o) = 10*o**2 - 5940*o + 35245. Determine c(6). -35 Let i(n) = -395*n - 78463. What is i(-198)? -253 Let a(m) = m**3 + 9*m**2 - 937*m - 11272. Give a(-12). -460 Let b(c) = -261413*c - 2091297. Calculate b(-8). 7 Let h(c) = -75729*c - 6815616. Give h(-90). -6 Let i(o) = 3*o**2 - 131*o + 1437. What is i(22)? 7 Let d(r) = 15*r**3 - 5131*r**2 - 5125*r + 7. What is d(-1)? -14 Let h(a) = -2*a**3 + 25*a**2 + 5484*a - 60. What is h(59)? -237 Let b(c) = -743969*c - 1487890. Give b(-2). 48 Let b(m) = -m**3 + 9*m**2 - 224*m + 623. What is b(3)? 5 Let g(l) = 10617*l + 84766. Give g(-8). -170 Let i(n) = -n**3 + 31*n**2 - 88*n + 434. What is i(29)? -436 Let c(h) = h**3 + 14*h**2 + 316*h + 3977. What is c(-13)? 38 Let u(c) = -3904*c + 2326773. What is u(596)? -11 Let j(o) = -o**3 - 4*o**2 + 313*o - 324. Give j(20). -3664 Let x(l) = -4906*l + 9935. What is x(2)? 123 Let m(z) = 109*z**3 - 1934*z**2 + 3036*z + 55. Calculate m(16). -9 Let c(w) = -3*w**3 - 365*w**2 + 130*w + 1223. Determine c(-122). 247 Let y(i) = 98*i + 9804. Give y(-110). -976 Let r(n) = -1023*n + 17349. Calculate r(17). -42 Let o(q) = 6*q**3 + q**2 - 10*q - 18. What is o(-4)? -346 Let d(f) = -256*f + 24395. What is d(90)? 1355 Let r(v) = 30*v**2 + 422*v - 1492. Give r(-17). 4 Let v(m) = m**3 - 32*m**2 - 484*m + 492. Determine v(43). 19 Let t(s) = 6*s**3 + 960*s**2 + 534*s + 85502. What is t(-160)? 62 Let u(q) = -154*q - 4552. Determine u(-30). 68 Let u(d) = -2*d**2 - 300*d + 12081. Calculate u(-183). 3 Let l(f) = -f**3 - 90*f**2 - 2045*f - 4138. Calculate l(-53). 314 Let u(w) = -45*w**3 - 92*w**2 + 41*w + 29. Give u(-3). 293 Let a(d) = 2*d**2 - 89968*d - 449838. What is a(-5)? 52 Let k(r) = 884949*r + 884955. Determine k(-1). 6 Let w(t) = 4*t**3 - 10*t**2 + 12*t - 21. What is w(6)? 555 Let p(r) = -33*r**3 - 18*r**2 + 14*r + 228. Calculate p(4). -2116 Let f(d) = 352*d**2 + 14778*d + 96. What is f(-42)? 348 Let d(k) = 3*k**3 - 28*k**2 - 22*k + 135. Calculate d(11). 498 Let z(t) = -243*t - 6995. What is z(-42)? 3211 Let c(w) = -w**3 - 86*w**2 - 356*w - 22963. Calculate c(-85). 72 Let l(s) = s**2 - 70*s + 1128. Calculate l(44). -16 Let p(n) = -n**2 + 40*n + 35466. What is p(212)? -998 Let k(g) = 4*g**2 + 1536*g - 82947. What is k(48)? -3 Let c(p) = -p**3 + 35*p**2 + 222*p - 7683. Determine c(33). 1821 Let g(r) = 2*r**3 + 154*r**2 - 45*r - 14966. Determine g(-76). 6 Let r(d) = 823*d**3 + 4*d**2 - 3*d - 2. Determine r(1). 822 Let x(z) = -39*z**2 + 74*z + 359. What is x(-2)? 55 Let m(a) = a**2 + 5275*a + 471718. Determine m(-91). -26 Let n(v) = 8*v**2 - 1250*v - 13984. Determine n(-11). 734 Let j(n) = -109*n**2 - 3276*n - 26. Determine j(-30). 154 Let h(d) = -2576*d**2 - 12*d + 12. Calculate h(1). -2576 Let y(j) = 54498*j**2 - 109003*j + 10. Give y(2). -4 Let m(b) = -996*b - 18837. Determine m(-19). 87 Let h(n) = 145172*n - 15388229. Give h(106). 3 Let r(d) = -d**3 - 25*d**2 + 132*d - 516. Calculate r(-30). 24 Let x(r) = 4*r**3 - 30*r**2 + 25*r + 85. Calculate x(3). -2 Let o(a) = a**3 + 13*a**2 - 383*a - 2145. What is o(-5)? -30 Let v(x) = -x**3 - 6*x**2 + 108*x + 544. Give v(9). 301 Let o(n) = -35*n**3 - n**2 - 686*n - 1377. What is o(-2)? 271 Let z(k) = k**2 + 11*k - 810. Calculate z(21). -138 Let p(s) = -2*s**2 + 26*s + 34540. Give p(-125). 40 Let i(a) = 14*a**2 + 418*a + 1126. What is i(-3)? -2 Let g(d) = -3*d**2 - 455*d - 110. Calculate g(-158). -3112 Let m(x) = 25*x**2 + 341*x + 3971. What is m(-12)? 3479 Let w(t) = t**3 - 54*t**2 - 89*t + 4740. Calculate w(54). -66 Let k(p) = 37*p**3 + 2*p**2 - 667*p + 1325. Calculate k(2). 295 Let l(d) = -1064*d + 6457. Calculate l(5). 1137 Let h(t) = -t**2 - 502*t - 8527. Calculate h(-17). -282 Let b(m) = 4*m**2 + 15516*m - 93415. Give b(6). -175 Let u(p) = -1618*p + 8930. Calculate u(4). 2458 Let g(c) = -c**3 - 48*c**2 - 702*c - 18760. Give g(-42). 140 Let d(i) = -59787*i - 1255541. Calculate d(-21). -14 Let z(m) = -1541*m**2 + 81637*m - 75. Determine z(53). -1983 Let v(q) = -q**3 + 1197*q**2
{ "pile_set_name": "DM Mathematics" }
7460? True Does 54 divide 5814? False Does 5 divide 189? False Is 12 a factor of 5035? False Is 3 a factor of 6379? False Is 10026 a multiple of 41? False Is 5 a factor of 52? False Is 4 a factor of 127? False Is 39 a factor of 6513? True Is 37 a factor of 1319? False Is 2975 a multiple of 25? True Does 71 divide 3266? True Is 41 a factor of 4387? True Is 38454 a multiple of 13? True Does 49 divide 6687? False Does 72 divide 4320? True Does 41 divide 1394? True Does 8 divide 1671? False Is 4416 a multiple of 8? True Is 14 a factor of 323? False Does 19 divide 3629? True Is 15 a factor of 46? False Is 5 a factor of 845? True Does 6 divide 562? False Is 6 a factor of 4188? True Is 50 a factor of 930? False Is 28 a factor of 2191? False Is 656 a multiple of 23? False Is 36114 a multiple of 15? False Does 26 divide 12036? False Does 49 divide 4197? False Is 13 a factor of 7111? True Is 116 a multiple of 26? False Is 36 a factor of 900? True Does 49 divide 11637? False Is 99 a multiple of 92? False Is 522 a multiple of 6? True Is 4816 a multiple of 14? True Is 12832 a multiple of 15? False Is 1033 a multiple of 11? False Is 594 a multiple of 33? True Is 2911 a multiple of 33? False Does 16 divide 14384? True Is 2 a factor of 3386? True Is 615 a multiple of 9? False Is 17 a factor of 18824? False Is 8 a factor of 368? True Is 26 a factor of 936? True Is 28 a factor of 5600? True Is 85 a factor of 935? True Is 5 a factor of 980? True Is 61 a factor of 893? False Is 715 a multiple of 55? True Does 40 divide 11440? True Is 7812 a multiple of 126? True Is 451 a factor of 52907? False Is 4 a factor of 37? False Is 19042 a multiple of 88? False Does 23 divide 13538? False Is 27716 a multiple of 84? False Is 639 a multiple of 2? False Is 27336 a multiple of 6? True Is 374 a multiple of 51? False Is 107 a factor of 535? True Is 33 a factor of 17928? False Is 4300 a multiple of 10? True Is 13176 a multiple of 36? True Is 12633 a multiple of 95? False Is 3 a factor of 1130? False Does 44 divide 23805? False Is 8430 a multiple of 10? True Does 96 divide 9120? True Does 54 divide 682? False Is 310 a multiple of 10? True Is 54 a factor of 1060? False Is 2 a factor of 47? False Is 41 a factor of 574? True Does 14 divide 154? True Is 103 a factor of 11675? False Does 58 divide 804? False Is 312 a multiple of 24? True Does 56 divide 6552? True Does 5 divide 1760? True Is 1100 a multiple of 59? False Is 16 a factor of 1024? True Is 1272 a multiple of 6? True Does 2 divide 3896? True Is 1540 a multiple of 55? True Is 177 a factor of 50622? True Is 82 a factor of 2780? False Does 5 divide 295? True Does 193 divide 2612? False Is 45 a factor of 29497? False Does 15 divide 22591? False Does 145 divide 6525? True Is 4348 a multiple of 4? True Does 66 divide 77220? True Is 28 a factor of 2212? True Is 12 a factor of 78? False Does 3 divide 26573? False Is 7276 a multiple of 17? True Is 17 a factor of 13454? False Is 4286 a multiple of 11? False Is 12096 a multiple of 192? True Is 6010 a multiple of 28? False Is 628 a multiple of 11? False Does 90 divide 3060? True Is 41 a factor of 70766? True Is 267 a multiple of 39? False Is 17 a factor of 2499? True Does 19 divide 24529? True Does 5 divide 3315? True Is 53 a factor of 53? True Does 9 divide 6287? False Is 5358 a multiple of 114? True Does 13 divide 134? False Does 6 divide 1065? False Is 3106 a multiple of 53? False Does 10 divide 430? True Does 211 divide 1266? True Is 7 a factor of 206? False Does 28 divide 137506? False Does 100 divide 15800? True Is 79 a factor of 2212? True Is 31 a factor of 1615? False Is 18 a multiple of 3? True Is 20 a factor of 2720? True Does 13 divide 2171? True Does 53 divide 1431? True Is 6578 a multiple of 39? False Is 28 a factor of 1904? True Is 4 a factor of 7? False Does 15 divide 7191? False Does 4 divide 2710? False Is 57 a factor of 7761? False Does 7 divide 67? False Does 17 divide 901? True Is 54 a factor of 543? False Is 64 a factor of 8877? False Is 132 a factor of 43089? False Is 2310 a multiple of 14? True Does 17 divide 849? False Does 44 divide 7260? True Does 4 divide 510? False Is 260 a multiple of 17? False Does 28 divide 31941? False Is 918 a multiple of 18? True Is 10 a factor of 170? True Does 142 divide 41331? False Is 350 a multiple of 17? False Is 32 a factor of 6208? True Is 1003 a multiple of 3? False Does 5 divide 32? False Is 1188 a multiple of 27? True Does 13 divide 81952? True Does 47 divide 1282? False Is 58 a multiple of 7? False Does 207 divide 24109? False Is 27408 a multiple of 139? False Is 91 a multiple of 13? True Is 53095 a multiple of 41? True Is 14 a factor of 16538? False Does 28 divide 14924? True Does 2 divide 318? True Does 3 divide 75? True Is 2810 a multiple of 5? True Does 3 divide 822? True Does 35 divide 1524? False Does 33 divide 1317? False Does 80 divide 22956? False Is 849 a multiple of 15? False Is 75233 a multiple of 43? False Does 89 divide 2047? True Is 34 a factor of 238? True Is 41 a factor of 817? False Is 15 a factor of 10620? True Is 14153 a multiple of 10? False Is 19 a factor of 514? False Is 21431 a multiple of 120? False Is 3403 a multiple of 41? True Is 11675 a multiple of 10? False Is 27 a factor of 2916? True Does 12 divide 1534? False Is 1026 a multiple of 38? True Is 2210 a multiple of 10? True Is 20 a factor of 1916? False Is 1961 a multiple of 37? True Does 2 divide 380? True Is 29 a factor of 1180? False Is 6 a factor of 26340? True Is 212 a multiple of 14? False Is 17 a factor of 2788? True Is 19 a factor of 715? False Does 3 divide 195? True Does 99 divide 42290? False Is 1197 a multiple of 7? True Is 1100 a multiple of 12? False Is 6044 a multiple of 18? False Does 62 divide 744? True Is 11078 a multiple of 83? False Is 544 a multiple of 25? False Is 2399 a multiple of 54? False Is 558 a multiple of 9? True Is 3996 a multiple of 9? True Does 25 divide 275? True Does 64 divide 7953? False Is 3722 a multiple of 21? False Does 8 divide 800? True Does 20 divide 14520? True Is 11589 a multiple of 7? False Is 575 even? False Is 59 a factor of 3068? True Is 13 a factor of 26182? True Does 30 divide 4602? False Is 816 a multiple of 17? True Is 1224 a multiple of 68? True Is 6 a factor of 41635? False Is 24 a factor of 546? False Is 36 a factor of 1301? False Does 55 divide 1210? True Is 229 a factor of 15114? True Is 4005 a multiple of 4? False Does 4 divide 215? False Is 12884 a multiple of 28? False Is 8760 a multiple of 14? False Is 11 a factor of 7947? False Is 1520 a multiple of 88? False Is 3532 a multiple of 32? False Is 35800 a multiple of 10? True Is 9 a factor of 774? True Is 45 a factor of 66245? False Is 356 a multiple of 35? False Does 180 divide 360? True Does 16 divide 336? True Does 54 divide 133? False Is 10160 a multiple of 80? True Does 28 divide 1904? True Does 30 divide 1440? True Is 51680 a multiple of 11? False Is 144 a factor of 9216? True Is 1210 a multiple of 75? False Does 52 divide 81328? True Is 25000 a multiple of 50? True Is 6270 a multiple of 10? True Does 31 divide 341? True Is 2 a factor of 2996? True Does 3 divide 347? False Does 21 divide 283? False Does 37 divide 518? True Is 82 a factor of 8694? False Does 8 divide 102? False Is 4818 a multiple of 83? False Is 110 a factor of 44440? True Is 97 a factor of 6215? False Does 5 divide 363? False Is 8 a factor of 2232? True Does 50 divide 850? True Is 22330 a multiple of 24? False Is 8183 a multiple of 49? True Is 40687 a multiple of 61? True Is 20 a factor of 13472? False Does 39 divide 975? True Is 75 a factor of 13835? False Does 36 divide 303? False Is 11 a factor of 10906? False Does 15 divide 10365? True Is 864 a multiple of 54? True Is 4703 a multiple of 12? False Does 13 divide 30? False Does 56 divide 2240? True Does 13 divide 156? True Is 149 a multiple of 6? False Is 2944 a multiple of 32? True Is 103 a factor of 8477? False Does 7 divide 77? True Does 40 divide 65190? False Is 26 a factor of 3250? True Is 17 a factor of 20? False Is 69 a factor of 71760? True Is 7891 a multiple of 176? False Is 5 a factor of 1993? False Does 13 divide 1274? True Is 32200 a multiple of 230? True Is 330 a multiple of 22? True Is 2904 a mu
{ "pile_set_name": "DM Mathematics" }
- 0. Let o = -166.9 - -167. What is the nearest to 1 in 2, o, q? q Let w = 0.07 + -0.01. Let t = 1.94 + w. Let f = 6 - 6.3. What is the nearest to f in t, -3, 1/2? 1/2 Let n = 2.1 + -4.1. Let d = -12 + 7. What is the closest to n in d, 0.5, 0.3? 0.3 Suppose 2*v - c - 19 = 0, 5*c - 3 = -v + 1. Let w be (v/2)/(-1) - -3. What is the nearest to -0.1 in 5, w, 3? w Suppose -6*j = -3*j - 5*p - 17, -2*j + 2*p = -10. What is the closest to 0 in j, -5, -0.5? -0.5 Let r = 4 - 6. Let d be 1/r - 1 - -1. Let t = -3.4 + -0.6. Which is the closest to d? (a) 0 (b) t (c) -0.5 c Let d(n) = n - 3. Let h be d(5). Let r be (h/(-3))/(21/(-9)). Which is the nearest to 0? (a) r (b) 0.1 (c) 0 c Let n = 4 - 10. Let r(z) = -z**2 - 5*z + 4. Let k be r(n). Which is the closest to k? (a) -1/6 (b) 0.3 (c) 2/7 a Let l = -2.68 + 0.68. Which is the nearest to -0.2? (a) 3/5 (b) 0.2 (c) l b Let m = -0.03 - -3.03. Let u = m - 1. Which is the nearest to -2? (a) u (b) 0.5 (c) 0.2 c Let g = 68/7 - 673/70. Which is the closest to 0.1? (a) g (b) -2/9 (c) -3 a Suppose -3*v - 2*v + 35 = 5*c, 3*c = 9. Suppose -21 - v = 5*g. Let r = -9 - g. What is the nearest to 1 in 4/3, 2, r? 4/3 Let f be 15/18*2/(-5). What is the closest to f in -4/7, -0.1, -2? -0.1 Let k = -1.1 + 0.7. Let w = -2 - -1.96. Let f = w + -2.96. What is the closest to 0 in 5, k, f? k Suppose 16 = 5*x + 3*r, -x + 28 - 8 = -5*r. Let i = 4 + 0. Suppose -14 = -3*m - x*u, -2*m = -i*m - u. What is the closest to 0.1 in -4, 2/7, m? 2/7 Let x = 10.4 - 10. Let o = x - 0.2. What is the nearest to 0 in -0.3, o, 1? o Let v = 12 - 18. Let a be 2/6 - 49/v. Let h = -8 + a. What is the closest to -1 in -2, h, -2/3? -2/3 Let u = -2 - -1.9. Let s = 0.8 + -4.8. Let b(p) = -2*p**3 - 2*p + 1. Let m be b(1). What is the nearest to u in m, 5, s? m Let t = 8 + -3. What is the closest to 1/2 in 2, 3, t? 2 Let m = -1.3 + 0.3. Let t(i) = -i**3 - 8*i**2 - 8*i - 5. Let v be t(-7). Let x be 1*(-3)/v*-2. Which is the closest to m? (a) x (b) 2 (c) 3/7 c Let v = 31 + -22. Let x = v + -9. Let g be ((-1)/3)/(4/(-12)). Which is the closest to g? (a) 2/9 (b) 0.5 (c) x b Let c = 0.3 + -0.4. Let s = 0.31 + 0.69. What is the closest to s in 0, c, -1? 0 Let b = 1.4 + -1.4. Let u = 7.7 - 8. Let q = -0.1 - u. What is the closest to b in -3/2, -5, q? q Let s be -2 + (-111)/(-126) + 20/70. Which is the nearest to 0.1? (a) -0.5 (b) -6 (c) s a Let k = -2.2 + 2.3. Which is the closest to 1/3? (a) 4 (b) k (c) -0.06 b Let l = -2/183 + 199/1464. Let r = -87 - -82. What is the nearest to 2/5 in l, -0.3, r? l Let y(m) = m**3 + 11*m**2 + 7*m - 8. Let v be y(-10). Let z be v/12 + 1/(-3). Which is the closest to z? (a) 2/3 (b) 0.4 (c) -4 a Let l = 136 + -233. Let n = l - -483/5. Let y = 1.9 - 2. Which is the closest to n? (a) y (b) 0.5 (c) 2/19 a Let l = 34 + -135/4. Let g = 0.8 + 2.2. Let q = 0.08 + 0.22. Which is the closest to l? (a) g (b) 1 (c) q c Let u = -1.2 - -1.6. Suppose -5*z = 4*s - 8*s + 22, -2*z - 14 = s. Let x = z - -10. Which is the closest to 1? (a) x (b) -3 (c) u c Let u = -0.1 + 0.4. Suppose 2*n = -4*k + 21 + 7, -22 = -n - 4*k. Let r(z) = 2*z - 7. Let i be r(n). What is the nearest to 1/3 in i, 4, u? u Let j be (3 - 4)/((-14)/4). Which is the nearest to j? (a) -3/7 (b) -0.3 (c) 5 b Let u = 129 - 122.3. Let s = 7 - u. Which is the nearest to 1? (a) 5 (b) 2 (c) s c Suppose 5*z - 2*x + 5 = 3*x, 3*x = 9. Suppose 0 = z*j + 3 + 1. What is the closest to -0.1 in j, 1, -4? 1 Let n = 136 - 275/2. Which is the nearest to -2/3? (a) 1 (b) n (c) 0.5 b Let s = -5.6 - 0.4. Let x = 0 + s. Let l = x - -6. Which is the nearest to 2/3? (a) l (b) 3 (c) -4 a Let s = -1.5 + 1.4. What is the closest to -3 in -4, s, -1? -4 Let n = -7.3 - -7. Let f = 20 - 7. Let l = f - 13. Which is the closest to l? (a) 5 (b) n (c) 0 c Let l = 1.1 + -0.1. Let v = l - 0.8. Suppose 0*d = 4*d + 8. Which is the nearest to 0? (a) d (b) 2/5 (c) v c Let l be ((-16)/(-10))/(6/15). Let d = 0 - l. Let m be -2*(-2 - 58/(-32)). Which is the nearest to -0.1? (a) m (b) d (c) 0.3 c Let x = -2 + 2. Let j = -3 - x. Let u be (2/(-6) - (-34)/84)*4. Which is the nearest to u? (a) 2/17 (b) j (c) -0.4 a Let t = 6 + -3.5. Let m = t - 3. Let g be 3/9*(-4)/(-3). What is the nearest to -2/7 in m, 2/7, g? m Suppose -2*t = 4*s - 10, 0*t + s + 5 = -3*t. Suppose 3 + 9 = -3*d. Let w = d - -2. Which is the nearest to -1/2? (a) t (b) w (c) -2/7 c Let b = -0.5 - -0.5. Let c = -0.7 - -0.4. What is the closest to b in 3, c, 0.4? c Let s = 0.3 - 0.2. Let g = -0.1 - -5.1. Let f = -20 - -19.6. Which is the closest to s? (a) f (b) -3/4 (c) g a Let y be -2 + (1 - (-1)/(-2)). Let v = -4 + -6. Let m be ((-12)/v)/(18/12). Which is the closest to 2? (a) m (b) -2/11 (c) y a Let t = 5.7 - 5.72. What is the closest to t in 0, -0.4, -3? 0 Let p = 13.6 - 5.5. Let u = -8 + p. Let s = -3.6 + 4. Which is the closest to u? (a) s (b) 3/5 (c) 5 a Let m be 4 - ((-92)/(-11))/2. Let j(v) = -v**3 - 8*v**2 - 6*v + 3. Let z be j(-7). Which is the closest to 1? (a) -1/4 (b) z (c) m c Let i = -3.1 - -2.8. What is the nearest to i in 0.3, 0.2, -3? 0.2 Suppose 5 = -2*h - 3. Let l = 8/57 - 103/57. Which is the nearest to -2/5? (a) h (b) 2 (c) l c Let v = -11.4 - -6.4. Which is the nearest to -1/3? (a) 3 (b) v (c) 3/7 c Let i = -0.344 + -11.426. Let l = i - 0.23. Let v = 7 + l. Which is the closest to 0? (a) -0.4 (b) v (c) 1/5 c Let f be 3*(0 - (-2)/(-3)). Let c be (-206)/120 - (-1)/4. Let u = -4/5 - c. What is the closest to u in 1/9, f, 2? 1/9 Let s = 17.02 - 12.3. Let p = s + 0.28. What is the nearest to -0.1 in -0.2, p, 1/7? -0.2 Let b be (-15)/35 - (-1 - 0). What is the closest to 2/5 in b, -1, 5? b Let s(w) = w**3 - 6*w**2 + 5*w + 8. Let g be s(5). Which is the closest to -0.1? (a) 0 (b) 1 (c) g a Let g = 68 + -67.91. What is the nearest to -0.1 in 3, 4/9, g? g Let h = -122 + 121.6. Let g be (-17)/30 - (-2)/3. Let p = 319/6 + -53. Which is the closest to 0.1? (a) p (b) h (c) g c Let x = 3819/40 + -1939/8. Let z = -147 - x. Let k = 388 + -1166/3. Which is the nearest to k? (a) -1/3 (b) 1/5 (c) z a Suppose 2*t + 2 = 8. Which is the nearest to -0.1? (a) -1 (b) 0.4 (c) t b Let b be (3/2)/(3/30). Suppose -3*w - 2*w = b. What is the nearest to -2/3 in w, -5, -4? w Let o = -1 - 0. Let s = 3/3404 + 1045019/10212. Let n = s - 101. Which is the nearest to o? (a) -0.3 (b) -2 (c) n a Let a = 0.1 - 0.1. Suppose -1 = -2*f - 11. Suppose 0 = 19*k - 20*k + 1. What is the closest to a in k, f, 0.5? 0.5 Let z = -25 - -22. What is the nearest to z in -6, 0.3, 5? -6 Suppose 5 = -0*n + 5*n. Which is the nearest to n? (a) -0.3 (b) 3/5 (c) 3 b Let y be 8/28 + (-32)/161. Let n = 56/115 - y. Which is the closest to n? (a) 2/11 (b) -4 (c) 3 a Let u = -7 + 8. Let x = 0.9 + -0.4. Which is the nearest to u? (a) 5 (b) -1/4 (c) x c Suppose 0 = -2*n + 3*n. Which is the closest to n? (a) -4/3 (b) 6 (c) -2/11 c Let g = -4.01 - -0.01. Let r = g - -6. Which is the nearest to 0.1? (a) 0.3 (b) -4 (c) r a Let z = 88 + -88.4. Suppose -2*k - 2*m = 6, -2*m + 2 = k + 5. Which is the closest to 1/4? (a) 0.2 (b) z (c) k a Let m = 0.84 - 0.74. What is the closest to m in -1, -3, 2? -1 Let g = 205/9 - 23. What is the closest to g in 2/3, -3, -1? -1 Let p = -80 + 321/4. Which is the closest to 1? (a) p (b) -5 (c) -1 a Suppose 4*w - 5*j - 6 = 0, 4*w - 20 = -3*j + j. Let q = w + -5. Let d be (q/(-2))/(6/(-4)). What is the closest to 2/5 in -5, d, -2? d Let m = 2.5 + -2. Let x = -0.6 + -0.4. Which is the nearest to -0.1? (a) x (b) m (c) 2/11 c Let m = 77/120 - -1/40. Let o be 1 + (-2)/(2 - 0). Which is the closest to o? (a) m (b) -0.5 (c) 1 b Let s = -189 - -193. What is the nearest to -2/3 in s, -4/5, -1/6? -4/5 Let x = -6 - -5.8. Which is the closest to -2/5? (a) -4 (b) x (c) 2 b Let z = 969/20 + -197/4. Let w be 1 + (18/(-7))/3. Which is the nearest to 1? (a) z (b) w (c) 2/7 c Let o = -8 + 8. What is the closest to o in -5, -2/15, 0? 0 Let l = -0.1 + -0.1. Let d = 8.5 + -8. What is the nearest to 0.1 in l, 1/4, d? 1/4 Let t(j) = j**2 + 9*j + 5. Let l be t(-8). Let f = 4 + l. Let h be 1/f*1 + 0. What is the closest to h in 2, -2/5, -3? 2 Let l = -0.4 + -1.6. Let t = -2.2
{ "pile_set_name": "DM Mathematics" }
1)/12). Suppose -q*l = -107 - 77. What is the remainder when l is divided by 16? 14 Let z = 7858 + -7594. What is the remainder when z is divided by 82? 18 Let a = 159 - 223. Let r = 66 + a. Suppose -2*t = -5*u - 95, 4*t - 154 = -0*t - r*u. What is the remainder when 157 is divided by t? 37 Let r = 20 - 6. Let i be 8 + -2 + -6 - 889. Let u = i - -968. Calculate the remainder when u is divided by r. 9 Suppose -2*n - 2 = 3*q, -3*n + 0*q - 4*q = 2. Let y(s) = 16*s + 8. Calculate the remainder when (-1)/3 + (-1056)/(-9) is divided by y(n). 37 Suppose -2*a - p + 81 = 0, 0 = -4*a - 4*p + 450 - 278. Calculate the remainder when 3904 is divided by a. 28 Calculate the remainder when 976 is divided by 162 + -167 - 5*4/(-10)*7. 4 Suppose -3*i + 56 + 100 = 6*j, -83 = -2*i - j. What is the remainder when 1325 is divided by i? 33 Suppose -4015*d + 4020*d - 425 = 0. What is the remainder when d is divided by 3? 1 Suppose -o - 13 = 5*p - 4*o, p = -2*o. Let s(y) = -8*y - 1. Let f(v) = -v**3 + v**2 + 58. Calculate the remainder when f(0) is divided by s(p). 13 Let x be ((-30)/(-25))/(-1)*(-475)/10. Let p = x + 15. What is the remainder when p is divided by 26? 20 Let w(s) = 2*s + 80. Let c(r) = -11*r**2 + 12*r - 5. Let b be c(2). Calculate the remainder when 118 is divided by w(b). 28 Let q be (-3 + 5)*-2*-1 - -1. Suppose -3*x = -x + q*a - 14, 5*x + 2*a = 77. Let c(t) = -t**2 + 8*t - 2. What is the remainder when x is divided by c(6)? 7 Suppose -x + 109 = 4*w, -2*w + 0 + 8 = 0. Calculate the remainder when 1390 is divided by x. 88 Let p = -660 - -1166. Let x = -491 + p. Calculate the remainder when 67 is divided by x. 7 Let u(t) = -2*t - 4. Let s be (-3)/12 - 0 - 837/12. Let b = s + 78. Calculate the remainder when u(-13) is divided by b. 6 Let v(y) = y**2 - 7*y + 11. Suppose -25762 = -4*q - 24958. Calculate the remainder when q is divided by v(9). 27 Suppose 2*o - 2*c + 1257 = c, 4*o + 2490 = -2*c. Let h(k) = 2*k + 11. Calculate the remainder when h(8) is divided by (-3)/(4/(-26) + 21/o). 11 Let p = -518 + 622. Suppose -105*d + p*d = -42. Calculate the remainder when 334 is divided by d. 40 Suppose 5*j = -497 + 122. Let w = 98 + j. Let o = 9 + -5. Calculate the remainder when w is divided by o. 3 What is the remainder when (-2)/5 + (1638/(-5))/(-9) is divided by 72/5 - (0 - (-4)/10)? 8 Suppose -j + 31 - 33 = 0, -2*i + 114 = -2*j. What is the remainder when 165 is divided by 11*3/i + 204/10? 18 Suppose 4*t = -4*z, 4*t + 2*z - 4 = -0*z. Suppose -x + 5*w + 22 = t*x, -w = -4. Let u = 54249 + -54167. Calculate the remainder when u is divided by x. 12 Let z = -4535 + 4709. Calculate the remainder when 544 is divided by z. 22 Suppose -4*i + 7*i - 183 = 0. Suppose 41*k - 264 = 8*k. Calculate the remainder when i is divided by k. 5 Suppose 0 = 11*c - 14*c. Let d = c - -93. Suppose 0*v - 4*v + 5*w = -d, -w = -3. What is the remainder when v is divided by 6? 3 Suppose -u - 4*j + 79 = 0, -37*j = -40*j + 9. What is the remainder when 601 is divided by u? 65 Let q = -15 + 27. Let m(v) = 9*v**2 + 1018*v + 280. What is the remainder when m(-113) is divided by q? 11 What is the remainder when (74/(-703) + (-31485)/(-19))*1 - 5 is divided by 23? 19 Suppose 0 = -2*f + 2*r + 6, 0 = -f - 13*r + 9*r + 13. What is the remainder when (-1)/(f/2) - 3933/(-95) is divided by 25? 16 Let i(t) = -362*t - 5. Let h(v) = -720*v - 12. Let l(c) = -2*h(c) + 5*i(c). Calculate the remainder when l(-1) is divided by 53. 51 Suppose 45*h = 34*h + 220. What is the remainder when 776 is divided by h? 16 Suppose -8*w + 5126 + 570 = -672. What is the remainder when w is divided by 8? 4 Let h(z) = z**3 - 10*z**2 - 21*z + 65. Calculate the remainder when 105 is divided by h(12). 4 Let o be 35 + 4/8*2. Let h(i) = -22*i - 37. What is the remainder when o*((-5)/(-2) - 2) is divided by h(-2)? 4 Calculate the remainder when (12/14)/((-46)/(-115) - 261/665) is divided by 64. 50 Suppose 173 - 181 = -2*b. What is the remainder when (-1 - (b - 73)) + 3 + 3 is divided by 11? 8 Suppose -80*l = -83*l + 666. Suppose -l = -3*k + 123. Calculate the remainder when k is divided by 54. 7 Let t(k) = 2*k**3 + 7*k**2 - 52*k - 6. Let l be (8 - 15)/(-2*1/(-2)). Calculate the remainder when t(l) is divided by 9. 6 Let v(w) = w**2 + 3*w + 5. Let s be v(-2). Suppose -s*x + 474 = 36. What is the remainder when x is divided by 7? 6 Let l(x) = 3*x**2 - 6*x - 13. Let v = 3100 - 3076. What is the remainder when l(7) is divided by v? 20 Let g(r) = r**2 - 124*r + 510. Calculate the remainder when 921 is divided by g(4). 21 Calculate the remainder when (0 - (-10)/6) + 29100/225 is divided by 58. 15 Suppose -78 = -2*w + 4*q, -w + 45*q - 48*q + 64 = 0. Suppose 28*k = w*k - 1218. Suppose 0 = -3*b + 8 + 52. Calculate the remainder when k is divided by b. 18 Suppose -166 = -7*g - 425. Let x = -23 - g. Calculate the remainder when 45 is divided by x. 3 Let a(o) = o**2 - 34*o + 67. Let j be a(32). Suppose -l + 4*l - 2*h = 64, 4*l = j*h + 86. Calculate the remainder when l is divided by 11. 9 Suppose 5*i = 4*t - 373, 2*i + 9 + 1 = 0. Let q = -45 + t. Suppose -2*v - 66 = -5*p, -6*p = -2*p + 2*v - q. What is the remainder when 31 is divided by p? 7 Let g(c) = c + 4. Let s = -154 + 201. Suppose -s = 39*h - 40*h. Calculate the remainder when h is divided by g(6). 7 Suppose 5*b - 240 - 5 = 0. Suppose 2*z - 260 = 2*n, 7671*n = 5*z + 7669*n - 698. What is the remainder when z is divided by b? 48 Let q be (-3)/((60/224)/(-15)). Let l = q + -165. Calculate the remainder when 43 is divided by l. 1 Let h = -11 + 20. Let f = 103 - 103. Suppose 0*s + 9*s - 126 = f. Calculate the remainder when s is divided by h. 5 Let r(a) be the second derivative of -a**5/20 + 11*a**4/12 - a**3 - 12*a**2 - 85*a. What is the remainder when 79 is divided by r(10)? 15 Let r = -25 + 220. Let g(y) = -y**3 - 34*y**2 + 3*y + 119. What is the remainder when r is divided by g(-34)? 8 Let t = -259 - -287. What is the remainder when ((-34)/(-10))/((13/325)/1) is divided by t? 1 Calculate the remainder when 73 is divided by (-978)/(-24) - 11/(-220)*5. 32 Let s be 3/((-6)/(-10)) - (-1 + 1). What is the remainder when 180 is divided by (276/(-9))/(s - 85/15)? 42 Let o(s) = 7*s - 4. Suppose -10*l = -11*l + 3*x + 45, 5*l - x = 225. What is the remainder when l is divided by o(4)? 21 Let t be -26 - (-8 + (-18)/(-6)). What is the remainder when 7 + 282/(-42) - 1527/t is divided by 26? 21 Let y be ((-15)/30)/((-3)/12). Calculate the remainder when 37*-1*(-1)/1 is divided by (-380)/285*(y - 38/4). 7 Let b(j) be the second derivative of 19/6*j**3 + 0 - 4*j - 12*j**2 - 5/3*j**4 - 1/20*j**5. What is the remainder when 53 is divided by b(-21)? 17 Let u(j) = j**2 + 20. Let i(a) be the second derivative of a**4/12 + 5*a**3/6 + 9*a**2/2 + a + 41. What is the remainder when u(0) is divided by i(-4)? 0 Let y(u) = 3*u**2 - 15*u + 6. Let w be (-3)/2*(2 + -6 - -6). Let q be w/12*-23 - (-5)/20. What is the remainder when y(q) is divided by 5? 4 Let b(i) = -10*i - 52. Let k(a) = 3*a + 17. Let j(x) = -3*b(x) - 8*k(x). Let s be j(6). Suppose s = 5*w - 3*w. What is the remainder when 52 is divided by w? 24 Let k = -233 + 237. Suppose 7*i - l - 12 = 2*i, 5*l - 27 = -k*i. Let f = 18 + -11. Calculate the remainder when f is divided by i. 1 Let z(m) = -m + 4. Let j be z(2). Suppose j*s = 7*s - 15. Suppose 10 = -5*k + s*k, -5*p - 2*k + 90 = 0. Calculate the remainder when 75 is divided by p. 15 Suppose 4*w - 9 = -p, -11*p + w - 15 = -12*p. Suppose p*y + 13*y = 18870. Calculate the remainder when y is divided by 45. 44 Let u(i) = 6*i**2 - i. Let g be u(-3). Let r = 102 - g. Calculate the remainder when r is divided by (-12)/14*(-94 + 80). 9 Let k = -86 - -87. What is the remainder when (-3)/6*(k + -69) is divided by 21? 13 Calculate the remainder when 15222 is divided by 2 + (-84 - -83)/((-2)/(-22)) - -55. 42 What is the remainder when 700 is divided by 256 - (-35)/14*(-96)/20? 212 Suppose 5*u = -3*g + 6, -3*u = -u - 2*g - 12. Suppose -b + 26 = -u. Calculate the remainder when (-1 - 1)*(-71 - 0) is divided by b. 26 Let x(n) = 512*n + 279. What is the remainder when x(3) is divided by 602? 9 Let s(h) = 141*h + 219. Let x be s(-6). Let j = x + 888. Calculate the remainder when j is divided by 12. 9 Suppose 48*f + 11
{ "pile_set_name": "DM Mathematics" }
m - 27, -512*l + 137 = -513*l - 12*m for l. -5 Solve -4*n - 101 = -3*x, -693*n + 709*n + 5*x - 191 = 0 for n. 1 Solve -3 = 3*m, -4*a + 0*a - 67*m - 5 = -65*m + 21 for a. -6 Solve 918 = -23*w + 5*o, -133 = 3*w - 999*o + 1001*o for w. -41 Solve -5*b - 5*n = -40, 3*n + 452144 = 5*b + 452152 for b. 2 Solve -3*p - 9 = 3*x, -110*p = 2*x - 69*p - 45*p + 12 for x. -4 Solve -283322*t + 283326*t = -l + 134, 142 = 4*t - 3*l for t. 34 Solve p - 6*o - 372 = 0, 4*p + 2*o + 168355 = 168231 for p. 0 Solve -11*q - 6 = -2*o - 0*q, -438*o + q + 15 = -433*o for o. 3 Solve 3993*q = -8*t + 3996*q + 254, -t = -5*q - 41 for t. 31 Solve -2*r + 17*g - 25*g = 8, 4*g = 2*r - 6*r - 4 for r. 0 Solve 150*k - p + 1156 = -14 - 632, 4*p = 5*k + 68 for k. -12 Solve 4559*y = -2*u + 4557*y + 4, -28 + 8 = 20*y for u. 3 Solve -68 = -2*f - 2*g, -g - 65 = -30*f + 5*f + 23*f for f. 33 Solve 324*l - 11*w + 9*w + 3554 = 0, -66*l + 66*l + w = -5 for l. -11 Solve q + 25*x = -1005, 199*q - 145 = 196*q + 3*x + x for q. -5 Solve 4*d + 4*o + 81 = -7, 2286 + 701 = 5*d - 158*o for d. -3 Solve -19*i = -2*z - 37 - 3, -2*z + 122610 - 122603 = z + 5*i for z. -1 Solve 6*t + 17 = 5*f - 1, 7*t - 8 = 3*t for f. 6 Solve 79*u + 18 = 35*u + 38*u, 3*z + 11*u = 41*u + 87 for z. -1 Solve -3*n = 4*r - 0 - 19, -90*n + 183*n = 2*r + 90*n - 5 for r. 4 Solve -420*z + 418*z = 3*n + 239, -4*z + 7*n + 9*n = -1348 for z. 5 Solve 5*m - 176*j + 342*j + 17 - 7 = 170*j, 3*m + 9 = 3*j for m. 2 Solve -10*s + 0*n - 46 + 116 = 5*n, 4*n = 2*s + 48 - 32 for s. 4 Solve -2*y + 0*t + 578 = -64*y + 4*t, -3*y + 5*t + 2 = -6*y for y. -9 Solve n + 1445*h - 727*h + 10 = 722*h, 5*h - 20 = 2*n for n. -10 Solve -56*x - 29*x + 81*x + 15*d = -648, 0 = -x - d - 47 for x. -3 Solve -350*j - 353 = -1753, -4*w - j - j = -5*w + 3*j + 15 for w. 35 Solve -6*z + 8*z - 22 = j, -z - 192 = -j - 201 for j. 4 Solve 19*t = r, -1701*t + 1696*t + 4*r - 142 = 0 for t. 2 Solve 49 = w + 7*d - 9*d, -33 - 83 = 4*w + 4*d for w. -3 Solve 2 = -p, 0 = b - 18*p + 1786 - 1821 for b. -1 Solve -5*o + c - 5 = -19, 0 = 18*o - 20*o + c + 5 for o. 3 Solve 0 = -5*l - 2*i - 44, 14921*l + 3*i = 14916*l - 56 for l. -4 Solve -88 = 29*a - 4*h - 46, -5*a = 5*h + 30 for a. -2 Solve 3*x - 2 = 19*g - 17*g + 13, 2*x - 10 = 2*g - 0 for g. 0 Solve -2*i + 6*s - 3*s + 56 = 0, 0 = 29785*i - 29785*i - 5*s for i. 28 Solve 8691*a + 24 = 2*q + 8687*a, 11*q - 5*a = 64 for q. 4 Solve -5*i + 96 = -17*d + 22*d + 241, 5*i = -2*d - 58 for i. 0 Solve -8*r = -25717*y + 25714*y - 9, -2*y - 4*r = 6 for y. -3 Solve -5*p + 12 = -0*p - 13, -2*p + 1440 = -5*o + 1390 for o. -8 Solve -j = -15*h + 17, 2*j + 5*j + 17 = j + 5*h for j. -2 Solve -h + 3*n = -20, -211774*n = -3*h - 211779*n + 4 for h. 8 Solve -m = -3030*d - 12133, 2*m = -5*d + 338 - 332 for d. -4 Solve -2*u = -34*y + 94, 3*y + 2*u - 5 = 3*u + 5*u - 5*u for y. 3 Solve 10*s + 3*j = 11 - 36, 0 = -s - 8*j + 159 - 123 for s. -4 Solve 2*a + 5*g + 18 = 0, -4*g - 14 = 5*a - 34 + 31 for a. 1 Solve -2*a - 22 = -3*f, 4887*a - 51 = -4*f + 4894*a for f. 4 Solve 5*m - 178*x + 206 = -205, 4*m + 6 + 28 = -0*m - 5*x for m. -11 Solve -3*p - 21 = -z - 4, z - 71 = 8*p - 19 for z. -4 Solve -7188*k + 7189*k - j = 5, -k - 5 = -2*k + 2*j for k. 5 Solve 48 = 4*s + 3*c, 19*s - 47 = 50*s - 34*s - 5*c for s. 9 Solve -8*r - f - 19 = -2, -989*r + 994*r + 2*f - 4*f + 71 = 0 for r. -5 Solve -2*t - 8*t - 2*u + 100 = 0, 511*t + 10*u = 512*t + 4*u + 52 for t. 8 Solve -3*d + 101432 = 2*b + 101445, -d + 3*b = 5*b + 15 for d. 1 Solve 7*x - 22*z = -24*z - 50, 3*x - 3*z - 14 + 47 = 0 for x. -8 Solve r + 68 = -5*u, 635*u - r - 5 + 15 = 634*u for u. -13 Solve -h = 146*k - 78*k - 65*k + h - 1, -k = 4*h + 13 for k. 3 Solve -4*g - 12 = 4806*x - 4810*x, -4*g + 8*x + 4 = 0 for g. -7 Solve -4*p = -4*m + 176, 40*p - 37*p + 0*m + 107 = -2*m for p. -39 Solve 98*b - u + 40 = 206*b - 104*b, -3*b - 6*u + 30 = 0 for b. 10 Solve 1 = -b + 3*y, 0 = 14*b + 5*y + 1925 - 1864 for b. -4 Solve 36838*l - 36845*l = a + 383, -4*a - l = 74 for a. -5 Solve 16 = 5*r + 3*n, 13*n - 647 = 2*r - 554 for r. -1 Solve 3*i + 66 = 3*v, 1390*v + 257 = 3*i + 1406*v for i. -5 Solve 4*h + 259 = 47*u, -44700 = -2*u + 3*h - 44672 for u. 5 Solve -3*x = -9*b + 4 - 1, -50*x = -6*b - 53*x - 18 for b. -1 Solve -14*r - 4*n + 14 = 0, 0*r + r - n - 95 + 121 = 0 for r. -5 Solve 2*j = 10*z + 48, -j - 3*z - 20610 = -20602 for j. 4 Solve -96*p + 1152 = -2*s, 415*s - 96 = -8*p + 414*s for p. 12 Solve 2*c = -5*t - 9, 5*c - 69678*t = -69673*t - 75 for c. -12 Solve -52*h + 55*h - 6*r = -39, 20*h + 3*r = 41 for h. 1 Solve -4748 + 4786 = 7*j + o, -2*o = -6 for j. 5 Solve 2*z + 98 = -3*t, 3*z + 119*t = 502*t + 13803 for z. 5 Solve -166*k = -162*k - 5*r - 67, -k = r - 10 for k. 13 Solve 151*d - 148*d + n = -40, 0 = 5*d - 3*n + 90 for d. -15 Solve 0 = 4*t - 8, -4*t - 219 = -4*s - 406 + 191 for s. 3 Solve 0 = 3*c - 403 + 415, -b + 3*b + 8*c + 18 = 0 for b. 7 Solve 0*d + 0*d - 3*a = 5*d - d + 5, -32*a + 20 = 6*d for d. -2 Solve 2*r - 8*k = 26, -8282 + 8285 = 3*r - 3*k for r. -3 Solve 32*r + 101 = -l, 5*l + 835 = 4*r + 822 for l. -5 Solve 236*i = 155*i - 4*t + 81, -2*i - 2*t + 2 = 0 for i. 1 Solve -x + 73 + 21 = -13*q, 3*q - 112 = -2*x - 127 for q. -7 Solve 343*j + 67 = -5*k + 674*j - 335*j, -2*k = -7*j - 85 for k. -3 Solve 0 = -q + 2*m - 10331 + 10329, -q - 2 = -5*m for q. -2 Solve 466 = 2*c - 38*u, 67*c - 6 = -75*c + 136*c - 2*u for c. 5 Solve 4*y - 1730 = -3*t - 1695, -18*t + 9 = 3*y - 10*t for y. 11 Solve -401*n + 400*n + 26 = 2*m, 92*m = 79*m + 8*n - 150 for m. 2 Solve 2*i - 165 = -0*i + x - 189, -12*i = x - 3 - 7 for i. -1 Solve 84 + 12 = -2*a + m, 4*a - 190 = 28*a - 2*m - 58 for a. 3 Solve 2*p + 3*z - 7 = 0, -21*p + 9*p + 9*z + 27 = 12*z for p. 2 Solve -t - 4 = -2*b, -25*t + 67 = -29*t - 0*b + 17*b + 60 for t. -6 Solve 3*q + 3*o = -q + 2 - 7, 182701*q - 182701*q + 6 = -2*o for q. 1 Solve -5*m = 4*s + 27, 94 + 295 = -4*s - 118*m - 429 for s. 2 Solve -l + 9485 = 2*n + 9489, 46*n - 178 = 4*l for n. 3 Solve 186 = -3*y + 21*v, 26*y = -8*y + 30*y - 3*v - 341 for y. -83 Solve -3*u - 2*p = -45 + 91 - 70, u = 4*p - 8 + 2 for u. 6 Solve 2*u + 3*b = 188 - 353 + 189, -3*u = -3*b - 21 for u. 9 Solve -5*f + 5 = -6*v, -3*f + 41*v + 36*v = 79*v - 31 for f. 7 Solve -162*x - 69*m = -339*x + 180*x + 315, -93 = 3*x - 5*m for x. -36 Solve -i - 38 = 285728*a - 285726*a + 46, -4*i - 5 = 2*a + 67 for a. -44 Solve -2*l - u - 9 + 23 = 0, 11*u = 5*l - 5*u + 2 for l. 6 Solve 12*h + 94 = 5*n - 6, n + h + 21 = 3*n for n. 8 Solve 4*h + 131982*t - 36 = 131980*t, 23*t + 147 = 5*h for h. 11 Solve g + 115 = 4*q, 248 = 20*g - 112*g + 53*q + 46*q - 100*q for g. -3 Solve -2*c = 7*f + 34, 55*f + c - 201 = 49*f - 228 for f. -4 Solve -2755*g + 2774*g = 3*o + 75, 2*g - 3*o + o = 18 for g. 3 Solve 0 = -191*b - 764, -11516*w - 3*b - 28 = -11518*w for w. 8 Solve 21*i + 596 - 37 = -2*g, -3*g - 4*i = 96 for g. 4 Solve -5*s - 325*i - 6 = -321*i, -8*i + 1 + 5 + 6 = 4 for s. -2 Solve 14*j + 4*i = 8, -631 = -2*j - 2*i - 617 for j. -2 Solve -24*o - 349 + 561 = 4*c + 563 + 209, -2*c - 88 = 4*o for o. -24 Solve -1097 + 2342 = -h - 6*f + 1149, -5*h = f + 16 for h. 0 Solve -4*s + 17*s - 7*s + 15*a = 9*s + 14*a, 434*a + 3 = 2*s + 3 for s. 0 Solve -79 + 49 - 54 = 2*u - 4*o, 2*u + 2*o + 46 = 4*o for u. -4 Solve -q - 619*k = -617*k - 10, 11 = q + 4*q - 3*k for q. 4 Solve 197*u - 27*u + 5097 = 3*k, -4*u + 4*k - 7*k - 89 - 34 = 0 for u. -30 Solve -4*o + 0*o = 2 + 6, 2*t + 4*t + o = 5*t - 37 for t. -35 Solve -12 = -2*h + 15*q - 5*q - 6*q, 39*q - 18 = -3*h for h. 6 Solve 0 = k - 4, 1649*k + 67 - 6 = 3*a + 1653*k for a. 15 Solve -5*l = 3*x - 6816209 + 6816163, -5*x = -3*l - 20 for x. 7 Solve 25810*n + 220 = 25814*n - 6*z, 37*z + 1404 = n for n. -2 Solve b - 35 = -t, 791*t - 1599*t + 66 = 6*b - 806*t for b. -1 Solve q - 374*b + 370*b = 32, 2*b + 78 = -15*q for q. -4 Solve -7*n = -b - 5, 138199*n - 138195*n = -b + 6 for n. 1 Solve 3*n + 6*o - 12 = -48, 8 + 1 = -3*o for n. -6 Solve 0 = 4*s - 2*g - 4, -5*s - 7263316 + 7263321 = -4*g for s. 1 Solve -4*m - 44157*l + 44158*l = -63, m = -3*m - 11*l + 123 for m. 17 Solve -4*p = -263*y - 151, -5*p = 4*y - 1364 + 1508 for p. -28 Solve -33 = -4*z + 66 - 15, 5*s + 2*z - 4 - 18 = 0 for s. -4 Solve 14 = 2*o - 2*q - 25 - 35, -o + 108*q - 104*q = -136 for o. 4 Solve -1397*
{ "pile_set_name": "DM Mathematics" }
u = 3.53 - -0.27. Let x = 606.2 - 607. Let p = u + x. Sort -2/7, -3, p. -3, -2/7, p Let a(o) = -o**3 + 5*o**2 - 4*o - 6. Let s be 8 + (5 - 2 - 7). Let p be a(s). Put p, 2/15, -5 in decreasing order. 2/15, -5, p Let u be (-8 + 1)*(1 + -2). Suppose 3 = u*x - 8*x. Let b be 36/27*x/(-2). Put b, 6, 5 in decreasing order. 6, 5, b Let d = -6.862 - -5.762. Sort 3, 48, 4, d. d, 3, 4, 48 Let n = -15 + 18. Let k be (n + -4 + 1 + 0)*-1. Let s(u) = u**3 - 8*u**2 - u + 10. Let x be s(8). Sort 1, -2, x, k. -2, k, 1, x Let c(t) = -2*t + 2. Let u be c(5). Let j(y) be the first derivative of y**3/3 + 4*y**2 + 4*y + 9. Let z be j(u). Put -5, 3, -1, z in decreasing order. z, 3, -1, -5 Suppose 5*x - 2 = 2*v, 2*v = 3*v - 4*x + 1. Let l = 246890 - 246893. Sort v, l, 124. l, v, 124 Suppose -3*x + 5*i - 22 = 0, 0 = 3*x - 553*i + 549*i + 17. Sort 18, 5, 8, x in ascending order. x, 5, 8, 18 Let p be ((-4)/(-10))/((-1)/(-5)). Let z = 0.03884 + -0.33884. Sort -2, p, 0.3, z in increasing order. -2, z, 0.3, p Suppose -4 = -t, -4*h - 2*t + 110 - 6 = 0. Put 3/2, h, 6, -2 in descending order. h, 6, 3/2, -2 Let l(f) = f**2 + 17*f - 33. Let o be l(-19). Suppose 49*h + 58*h - 125 - 89 = 0. Put h, 15, o in descending order. 15, o, h Let i = 208 - 210. Suppose 2*n - 20*u - 18 = -22*u, -3*n - u + 17 = 0. Sort 1/6, n, i. i, 1/6, n Let j = 11360 + -11391. Put 0, j, -8, -2, 3 in descending order. 3, 0, -2, -8, j Suppose 60 - 54 = 2*x. Suppose 8 - 2 = -x*h. Let m be (-1)/h*6*(-12)/(-9). Sort m, 0, 3, -2 in increasing order. -2, 0, 3, m Let b(v) = 4*v**2 + 13*v - 9. Let f be b(-7). Suppose 0 = 2*m + m - f. Let y = 98/3 - m. Sort y, 5, 2. y, 2, 5 Let h = 0.1 - -2.9. Let g = 3.3 - h. Let q = 23483.86 + -23484. Sort -3, q, g in ascending order. -3, q, g Suppose 5*n + f + 10 = 0, 4*f = -30 + 10. Put n, -5, 0, 80 in ascending order. -5, n, 0, 80 Suppose -4*b + 15 = b. Suppose 3*i = 3, 0*l - 4*i + 10 = 3*l. Suppose -2*t - 14 = -5*w, 0 = -4*t + l*w - 11 - 1. Sort 4, t, b, 0. t, 0, b, 4 Let g = -1.82 + 282.82. Let r = -272 + g. Put 0.3, r, 3 in increasing order. 0.3, 3, r Let q = -4 + 5. Let c = q - 1. Suppose b + 12 = 3*z - c*b, -b = 0. Put z, 0, 1 in decreasing order. z, 1, 0 Let n(i) = 3*i**3 + 31*i**2 - 3*i + 212. Let l be n(-11). Put -2, -4, -31, 1, l in decreasing order. l, 1, -2, -4, -31 Let k = -8 + 12. Let m = -10825.3 - -10825. Sort -10, m, -3, k. -10, -3, m, k Let h = -53.67 - -0.67. Let t = h - -62. Let m = 0.011 + -0.411. Sort t, m, 2/5, 0.3 in ascending order. m, 0.3, 2/5, t Let q(t) = t**2 + 2*t - 18. Let z be q(-6). Let p be (1/z*-2)/(1 + -4). Let u = 0.07 - -0.01. Put u, p, -5 in decreasing order. p, u, -5 Let y be 0*2/6*-1. Let v = 304/201 - 170/201. Put y, v, 0.1 in ascending order. y, 0.1, v Let f = 0.1626 - 3.3626. Put 10, -2, f in ascending order. f, -2, 10 Let w be 184/322 - (114/(-21) + 1). Let v(l) = -l**2 + 6*l - 3. Let m be v(5). Sort w, 16, m in increasing order. m, w, 16 Let t = -19168 + 19164. Sort 2, t, -9, -26 in descending order. 2, t, -9, -26 Let q(z) be the second derivative of -z**5/20 + 3*z**4/2 - 17*z**3/6 + 5*z**2/2 + 2*z + 14. Let g be q(17). Sort -2/5, 1/7, g, 1 in increasing order. -2/5, 1/7, 1, g Let q = 1/15 - -4/15. Let r = -6.1518 + 6.108. Sort r, -1/4, q. -1/4, r, q Let z(v) = -2*v. Let c(u) = u - 1. Let b(q) = c(q) + z(q). Let i be b(-4). Suppose 7*d = 4*d - i. Sort -2, d, 3/7 in descending order. 3/7, d, -2 Suppose -3*r - 25 = -34. Let h(g) = -g**2 - 4*g + 19. Let n be h(r). Sort n, -10, -5 in decreasing order. n, -5, -10 Suppose 10*p + 3345 = -4*g + 9*p, -5*g = 5*p + 4200. Sort g, -1, -0.3 in descending order. -0.3, -1, g Let f be -4 + (3 - (-3 + 3 + -2)). Sort 5, f, 0, 4 in decreasing order. 5, 4, f, 0 Suppose p + 4*f + 12 = 0, 10*p - 3*f - 15 = 11*p. Suppose -9*r + 4*r + 20 = 0. Sort p, -4, r in descending order. r, -4, p Let c be 0/((-1)/(2 + -1)). Let v = 197 - 184. Suppose 0 = v*t - 1 + 66. Sort 3, -3, t, c in ascending order. t, -3, c, 3 Let g = 1297 + -1297.1. Sort -1/3, g, 0.7, 3/14, 5 in increasing order. -1/3, g, 3/14, 0.7, 5 Let x = 17411 - 69421/4. Put -0.2, x, -2, 2 in descending order. x, 2, -0.2, -2 Suppose 0 = -23*r + 10*r - 260. Let d be ((-15)/(-3) + -7)*(-2)/r. Let l = 13/12 - 119/132. Sort 1, l, d in decreasing order. 1, l, d Let m(s) = -3*s**3 - 4 + 35*s + 4*s**3 + 0 + 2*s**3 - 12*s**2 - 2*s**3. Let h be m(7). Put 6, h, 2 in decreasing order. 6, 2, h Suppose 106 = -2*y - 5*h, 3*y = -0*h + 3*h - 117. Let x be 6/(-9) + (-3)/(y - 2). Let p = -1.7 + 2.2. Sort x, -1/3, p, 1/3. x, -1/3, 1/3, p Let v be 6 + 4*(-6)/(-8). Let u = -4 + v. Let z(b) = 21*b + 61. Let q be z(-3). Sort u, -4, q in increasing order. -4, q, u Suppose j + 3*z - 108 = 0, 3*j + 12*z = 7*z + 344. Let v = j + -123. Sort -3, v, 16, 4 in descending order. 16, 4, v, -3 Suppose -29*b = 4683 - 4596. Let r be 64/10 - 4/10. Let c = r - 3. Put b, 0, c, -4 in ascending order. -4, b, 0, c Let o(m) = m**2 - 7*m - 2. Let n be o(8). Suppose -3*i + 5*x - 28 = 0, 0 = -2*i - 3*x + 178 - 184. Put i, 5, n in ascending order. i, 5, n Let w(m) = m**3 - 14*m**2 - 20*m + 80. Let c be w(15). Sort -0.1, 0.4, 0.1, c, 6 in decreasing order. 6, c, 0.4, 0.1, -0.1 Let i = -42.5 - 4.5. Let s = -41.9 - i. Let x = 0.1 - s. Sort 2, 3, x in decreasing order. 3, 2, x Let v(z) = -z**3 - 8*z**2 + 33*z + 128. Let r be v(-10). Put 12, 1, -16, r in ascending order. -16, r, 1, 12 Let k be ((-10)/(-12) - 12/9)/(3/2). Put k, 19, 5, -0.2, 7 in descending order. 19, 7, 5, -0.2, k Let i = 1 - 8. Let j = -371 + 441. Let a = 66 - j. Sort 4, i, a in decreasing order. 4, a, i Let i = -19/4 + 61/12. Suppose -q = 2*b + 213, 7*b + 515 = 2*b + q. Let g be ((-4)/b)/(4/(51 - 3)). Sort 2, g, i in descending order. 2, g, i Suppose k - 5*q = -20, -q - 154 = 5*k - 2. Let y = -648.3 + 648. Let g = -4.418 - 0.582. Sort g, 4, k, y in ascending order. k, g, y, 4 Let m(h) = -2*h + 3. Let s be m(2). Let d(c) = -4*c + 13. Let l be d(13). Let f be l/52 + 13/12. Put f, s, 1 in increasing order. s, f, 1 Let u = -5.81 + 0.81. Let j = 0.26 - 0.28. Put u, -0.4, j, -0.5 in increasing order. u, -0.5, -0.4, j Let g(t) = 2*t + 9. Let a be g(-4). Let y(x) = x**3 - x**2 + 106*x - 212. Let u be y(2). Sort a, 2, 3, u in increasing order. a, 2, 3, u Let y be (3/1)/(9 + -8). Let u(i) = 2*i + 0*i**2 + i**3 - 6*i**3 + y - 3*i - 2*i**2. Let o be u(1). Sort o, 1, 4 in descending order. 4, 1, o Let f be (5*-1)/((-2)/(-6)). Let y(o) = -30*o**2 - 203*o + 32. Let b be y(-7). Let w = b - f. Put 0.2, w, -0.3, 0.3 in decreasing order. 0.3, 0.2, -0.3, w Suppose 2*x - 5*i = 0, -129*i = 4*x - 133*i - 12. Put 23, 17, x in decreasing order. 23, 17, x Suppose 5*r - 2*y = 6, y - 2532 = -4*r - 2535. Let s = -7 + 2. Sort 23, -1, s, r. s, -1, r, 23 Suppose 150*c - 104*c - 3036 = 0. Put 3, 11, c in ascending order. 3, 11, c Let y = -28.04543 - -0.04543. Put 0.1, -1, -2/9, y, 4 in descending order. 4, 0.1, -2/9, -1, y Suppose p = -3*p + 12. Suppose 0 = 4*i + 83 - 87. Suppose 18*y = 19*y - i. Put p, y, -5 in descending order. p, y, -5 Let k = -5050.031 + 5050. Put 0, k, -0.5, -1 in decreasing order. 0, k, -0.5, -1 Suppose -3*n - 11 = -4*f + 5, 8 = 2*f - 5*n. Sort -6.81, f, -0.1 in increasing order. -6.81, -0.1, f Let m = -31781 - -31776. Put m, 3/119, -0.5 in descending order. 3/119, -0.5, m Let x = 15 + -13. Suppose 0 = i - 6 + x. Suppose 1378*q - 16 = 1382*q. Sort i, q, 5 in decreasing order. 5, i, q Let w = -223/80 - -349/240. Put w, 7/3, 0.1, 2, -1/2 in descending order. 7/3, 2, 0.1, -1/2, w Let r be 56/(-3) + 1710/95. Sort 2, -0.205, r in increasing order. r, -0.205, 2 Suppose 161*l - 227*l = 0. Sort -2, -5, l, 66 in increasing order. -5, -2, l, 66 Let a = -3.2 - 0.5. Let s = a - -3.3. Let f = 0 - 5. Sort f, 2, -2/9, s in increasing order. f, s, -2/9, 2 Suppose 7*o + 3*x - 115 = 3*o, 4*x + 136 = 4*o. Suppose -60 = -16*g + o*g. Sort 4, -3, g. g, -3, 4 Let q be (-67 + 69)/(48/(-33) + 1). Sort -0.5, q, -2/23, 1. q, -0.5, -2/23, 1 Let b = -6 + 6. Let f be (-1)/(-2)*-4 - 2. Let j = -2014 + 2014.13. Put j, f, -1/6, b in decreasing order. j, b, -1/6, f Let n = -71.863 - -74.863. Let w = -30.4 - -34. Let y = 0.4 + w. Sort y, n, 0.3 in decreasing order. y, n, 0.3 Let a = 5336 + -5338. Sort -1, 0.4, 130, a in decreasing order. 130, 0.4, -1, a Let f be (7/(-98))/(7/(-4
{ "pile_set_name": "DM Mathematics" }
)/(-13) 21/5 What is the value of (184/2484 - 6202/(-108)) + 78/52? 59 Calculate (240/(-78) - (-2 + -1)) + (-19076)/6526. -3 What is 2 + (-15)/8 + 1*4 + (-39382)/3248? -8 Calculate (7/(-105))/(30 - (-334091)/(-11139)). -47/5 Calculate (-360)/(-50)*(8/30)/(1592/(-100) + 16). 24 What is the value of 67496/(-689) - (-1740)/(-46110)? -98 What is ((-123)/(-30) - (-4)/8)/((-26)/(1430/11))? -23 What is the value of (-8)/(-142)*(5824/(-128) + 45)? -2/71 Calculate 6/135 + 551612/172080. 13/4 Evaluate (9/15)/((84/100)/(972/(-405))). -12/7 812/(-7) - (150/(-12))/((-640)/(-256)) -111 What is ((-220)/1936*(-32)/140)/((-1)/(-7)*3)? 2/33 What is ((-782)/(-69))/((-4454)/(-12576))? 32 What is the value of (5/2*((-798876)/10660 + 75))/2? 3/41 What is the value of ((-2968)/(-168) + -19)/(88/(-6)*2/12)? 6/11 Calculate 80/(-30)*459/8364*2/36*6. -2/41 What is 81/(1134/56) - (342/105)/(68/84)? -2/85 4*(4/1*(-10)/4 + 12876/1276) 4/11 Evaluate ((-3104)/(-2716))/(24/126). 6 What is the value of (-1572320)/29481*(8/(-20) - -1)? -32 21608/365 + -60 + 9/45 -3/5 Calculate (22 + (-7626)/287)*(75/(-20) + -5). 40 Evaluate (84/20 - 3)/((-438)/(-10)). 2/73 ((-5)/((-300)/(-36))*-15 + -17)*(-15 - -11) 32 (-6 + 72/(-8))/((286/66)/13) -45 (-3 - 7)*(753 + -745) -80 Evaluate (-104)/(-5148)*27/(-3)*3. -6/11 (-9)/864*-52 - 695/1112 -1/12 What is the value of (60/(-217) + (-14)/(-49))*(90 + (-8536)/88)? -2/31 What is the value of ((-118)/15 - -8) + (-56)/645? 2/43 ((-80280)/(-3345) - 796/22)*11 -134 What is (14504/224 + -22 + -4)/(5/2)? 31/2 Calculate ((-1984)/93 + 21)/((-2)/(-618)) + -11. -114 (4 - -1 - 19694/(-1832))*(2 - (-8)/(-12)) 21 Evaluate 27 + -3 - -28 - ((-168)/63 - 4/(-6)). 54 Evaluate (-6)/11 + (-42800)/(-100045). -2/17 (4816/84 + -33 + -23)/(-7*(-2)/(-30)) -20/7 What is ((-25)/(-50))/((-7)/4) + (-210)/(-1078)? -1/11 -48 + (-80746)/(-1645) - 2*(18/20)/(-9) 9/7 Evaluate (48/(-14))/(-4) - ((-24960)/112)/(-8). -27 What is (-6 + -4 + -1 + 62/4)/((-204)/(-782))? 69/4 Calculate (-42957)/(-666)*(128/30)/4 + (-3)/(-15). 69 What is (53780/(-927705))/(2/9)? -6/23 3145/(-170)*(114 + -111)/((3 + 0)/(-1)) 37/2 (8/(-3))/((-9968)/(-1068)) -2/7 Evaluate (2889/(-54))/(49/98) + 16. -91 (258/1161)/((-2)/3) + 16/(-6) -3 What is (-1)/(-9)*(-306)/476*(-7)/6? 1/12 Evaluate (1*(-21)/49*(-476)/153)/((-4)/(-93)). 31 What is (-3)/909*6*(3/(-6))/(-56 + 57)? 1/101 What is the value of 6/(-10) + (-1235)/25 + (-171)/(-19) + -15? -56 What is the value of (310/1380)/(-31) - (-107)/(-642)? -4/23 Calculate 8/(-2) + -3 - (-48927)/7003. -2/149 What is the value of (12 - (98/10 - 218/(-1090)))/(2/9)? 9 What is (10 - (-1152)/(-60))/((102/1275)/((-8)/10))? 92 Calculate (6/783 + 0)/(4177/112779). 6/29 62/(-1085) - (-1254)/(-1330) - -62 61 Evaluate 3175077/10022870 - (-1)/(-110). 4/13 Evaluate 27 + -30 + -66 - 117/9. -82 What is the value of (2390/717 - 446*2/48) + 15? -1/4 (2/(-8) - (-99)/12) + (-792)/(-990)*-35 -20 What is (8 - (-46)/(-6))*-9 - -33*(-4)/(-6)? 19 What is the value of 17 + 576/58 + (2/(-174))/(5/(-30))? 27 Evaluate (-39)/(-15) + 7626/(-2460) + 58/92. 3/23 Calculate (((-1150)/(-600))/(-23))/((65/(-60))/(-13)). -1 What is (-2090)/(-550)*30/9 - (16/4)/1? 26/3 (1/(-2)*-2)/(31/21 - (-576)/(-432)) 7 ((-5790)/210 - -28)/(9 - 5862/651) -93 256/672*(390/24 + -8) 22/7 Evaluate 1144/4290*5/(-24). -1/18 What is the value of ((-8)/(-20) - 384/910)*6/(36/14)? -2/39 Calculate (45/30 - (-23)/(-4))*(6/(-1) + 10). -17 Calculate ((12/(-208)*13)/((-2)/4))/(189/(-7)). -1/18 What is the value of 12232/(-32109)*42/68? -4/17 What is the value of -15 - (33 - 10951/235)? -7/5 What is the value of 15540/1100*(-15)/(-2) - (172/88 + -2)? 106 Calculate 12*43/5160*-10*(-4)/(-338). -2/169 Calculate (61 - 216241/3535)/(3 - 0). -2/35 Calculate (-2408)/616*(-12 + -5 - 5). 86 What is the value of (1140/50 - (-299)/(-13))/(58/4)? -2/145 What is the value of ((-20)/(-54))/((-225)/(-540)) + (-4 - 12974/117)? -114 What is the value of ((-47)/3)/(24 + 6643/(-273))? 47 Evaluate (-1*2 + (-4)/(-56))/(5959/23836). -54/7 Calculate 17 - 2340/140 - (20/14 + -1). -1/7 3*((-1520)/88 + (-14)/231) -52 What is the value of ((-630)/(-77))/(246/902)? 30 ((-158)/(-7189))/((-120)/1040) -4/21 Calculate 3/(-5) - (276/3726 - (-2298)/(-405)) - -8. 13 Evaluate ((-56)/27)/(-4)*(-1995)/(-1330). 7/9 What is the value of (-180689)/5252*-2 + -69? -5/26 What is (-1872)/(-33228)*(-1 + 11 + -11)? -4/71 What is the value of (-20115)/447*(-44)/(-33)*6/8? -45 What is 65555/(-18730)*26/(-7)? 13 Evaluate (-2)/8*(-2892)/(-12291). -1/17 What is the value of (102/36)/17 + 13/(-114)? 1/19 (-4)/((-60)/935)*(-300)/(-550) 34 What is the value of (-8)/(-1) - ((-4347)/644)/(9/(-12)) - -21? 20 What is the value of 207*39/((-3861)/(-22)) - 20? 26 What is (15/117)/(4620/693*1/4)? 1/13 What is the value of 150/(-66)*(-337 - -326)? 25 Calculate 3/((-12)/(-3)*(8 + (-4375)/560)). 4 What is the value of 8/20 + 158/30 - 34/((-408)/(-60))? 2/3 ((-9891)/(-60445))/(4/(-40)) -18/11 Calculate ((-16)/10)/((-2)/6*(-555)/1850). -16 What is the value of -10 - ((-13797)/216 - -55)? -9/8 What is the value of 85/204*3 - 6*(2 + (-10)/4)? 17/4 What is 69350/(-1197) - (-1580)/(-24885)? -58 Calculate ((-159)/106)/((-21)/(-9))*14. -9 What is the value of (-884)/(-102) - 8970/819? -16/7 (1*(-2)/32)/(6606/(-26424)) 1/4 Calculate (-6463)/(-35397) + 2*2/(-162). 3/19 -6*(-1 - (-291)/273)/((-2985)/(-195) - 15) -9/7 Calculate (42/(-28) + 926/4)/(1381 + -1383). -115 Evaluate ((-4)/22 - 12/((-1188)/29))/(159/(-477)). -1/3 What is the value of (-41)/(-1476)*-24 - ((-506)/306 + 3) - -2? -2/153 Evaluate -2*2/(-138)*(-54)/450*5*1. -2/115 Calculate ((-9)/(-3) - 6)*65/(36400/(-2352)). 63/5 What is (-908)/(-20) + (5/(-15))/((-40)/(-48))? 45 What is 85/66640*32 - ((-471)/(-7938) + 0)? -1/54 (2438/161)/((-106)/371) -53 (-1026)/(-27) + 3/(-12)*92 - (-584)/(-44) 19/11 Evaluate ((-112)/49 - -2) + (-106 - 3168/(-308)). -96 What is the value of 333 - 401 - (-4 + -34)? -30 What is 7 + 55 + 1104/(-46)? 38 What is the value of (-92)/6*13/78 - (9 - 1411/153)? -7/3 (-1892)/7525*(-725)/58 22/7 Evaluate 338/(-169)*(77 - 74 - 712/238). -2/119 What is the value of 5/63*75/(-20)*(-226)/2825? 1/42 Calculate ((-2908)/(-47255))/(-1*1*(-98)/245). 2/13 What is the value of (-2220)/185 - (-1159)/29 - 28? -1/29 Calculate ((-13)/((-104)/24) - 58/18)/((-2506)/(-716)). -4/63 What is (-1007)/(-76) + ((-32)/(-48))/((-64)/24)? 13 What is (-213)/1065*(-60)/(-198)? -2/33 What is (25/58 + (-1336)/(-19372))/(((-54)/4)/(-3))? 1/9 Evaluate (382/(-376) + 1)*(5 + -6 + (-546)/(-378)). -1/141 Calculate 16/((11160/30)/(-31)). -4/3 Calculate 103/((-535600)/(-11840)) + (-4)/52. 11/5 What is ((-501)/(-334))/(3*(3 - 115/40))? 4 29827/21305 - 884/10 -87 (1 - 93/9)*(-15801)/10534 14 What is the value of 102/(-9231) - 1417396/312587? -50/11 Calculate -7 + -24 + (7*(-3)/(-42))/((-5)/90). -40 What is -5 + (-8589)/(-14)*19/(-171)*6/(-82)? -1/82 Calculate (-12)/(-32) - (-3969)/168. 24 Evaluate (1 - (-15 - -7))*2/6*-10. -30 What is the value of (14/(-49)*217/62)/((-4)/76)? 19 What is the value of 165/(-3)*(-24)/(-16 + 136) - 40? -29 Evaluate (-144)/71 + 181/((-1297951)/(-202)). -2 What is the value of ((-14405)/201 + 29)*(-153)/(-68)*(-2)/21? 64/7 What is the value of 45/(-90)*-22 + -40*1? -29 What is 5280/(-155) - (3 + (-8 - 3060/(-620)))? -34 Calculate -65*(183 + -34)/149. -65 4/54 - (-61863)/1377 45 What is the value of 90/(-21) - -4 - ((-16920)/700)/9? 12/5 What is ((-46)/(-4))/((-9849)/(-134) + -74)? -23 Evaluate 1855/140 + (-9)/4 - (364/8 + -4). -61/2 12/18*36/(-20)*(-245)/(-441) -2/3 What is (1650/209)/(-75)*152? -16 ((-2298)/150 + 1 - -14)/((-4)/(-10))*25 -20 What is the value of 6/8*(-40096)/3222*(-1 + (-245)/(-260))? 7/13 What is the value of 516/(-43) - (-2970)/255? -6/17 Evaluate 10/(-36)*((-21)/5)/(-7) - 34/36. -10/9 (6/10 + -8*(-3)/120*2)*3 3 1377/17 - 988566/12210 2/55 What is -1 + -2 - 41/((-2255)/135)? -6/11 What is the value of (7412/340 - 21)*(-20 - (4 + -3 + -1))? -16 What is (-39780)/(-7293)*22/5? 24 What is (33 + -14 - 88) + (-13 - -2)? -80 (218/872)/(((-21)/(-98))/((-16)/(-84))) 2/9 Evaluate -58 - -312*16/64. 20 -178 - -169 - 3*388/(-12) - 20 68 Calculate (87/(-18) - -4)*((-3097)/163 + 2759/145). -2/87 What is the value of 10 - -10 - -1*(12 - 1386
{ "pile_set_name": "DM Mathematics" }
j - 10. Calculate -6*h(g) + 5*z(g). -4*g**3 - 901*g Let l(p) be the second derivative of -p**4/6 - p**3/3 + 3*p**2 + 861*p. Let i(u) = 2*u**2 + 3*u - 5. Determine -5*i(m) - 4*l(m). -2*m**2 - 7*m + 1 Let t(c) = 1. Let v(z) = -z - 2. Let j(p) = 3*p + 5. Let n be 5*2*((-15)/6 + 2). Let w(m) = n*v(m) - 3*j(m). Let g = 0 - 1. What is g*w(s) - 5*t(s)? 4*s Let a(n) = -21*n - 2. Let w(t) = -22*t - 3. Let o(s) = 2*s**2 + 22*s - 3. Let y be o(0). Determine y*a(l) + 2*w(l). 19*l Let u(m) = 4*m**2 + 2*m - 6. Let s(v) = 5*v**2 + 2*v - 5. Let o(j) = -14*j**2 - 704*j - 205. Let q be o(-50). Give q*s(r) + 4*u(r). -9*r**2 - 2*r + 1 Let s(b) = -6*b - 10. Let r(d) = -35*d - 60. Let v(i) = -6*r(i) + 34*s(i). Let j(k) = 2*k + 7. Let m = 35 - 27. Let o = m - 22. Give o*j(f) + 5*v(f). 2*f + 2 Let z = -6215 - -6209. Let f(c) = 11*c**3 + 3*c - 3. Let s(r) = 54*r**3 + 14*r - 14. What is z*s(l) + 28*f(l)? -16*l**3 Let p(x) = -2280*x**2 - 4*x - 16. Let j(u) = -533521*u**2 - 938*u - 3752. What is 2*j(g) - 469*p(g)? 2278*g**2 Let n = 557 + -554. Let s(l) = 11*l**3. Let x(w) = -5*w**3 - 11*w + 11. Let y(u) = -u + 1. Let o(v) = -2*x(v) + 22*y(v). What is n*o(z) - 2*s(z)? 8*z**3 Let b(r) = 5*r**2 + 6*r - 14. Let k(g) = 2*g**2 + 2*g - 5. Let y = -5 - -8. Suppose 0 = y*f - 99 + 3. Suppose -7*o = o + f. Determine o*b(z) + 11*k(z). 2*z**2 - 2*z + 1 Let j(s) = -525*s**2 + 10*s. Let z(x) = 1048*x**2 - 23*x. Calculate 9*j(y) + 4*z(y). -533*y**2 - 2*y Let h(p) be the third derivative of -2*p**2 + 1/3*p**3 + 0*p**4 + 0*p - 9 + 1/30*p**5. Let k(l) = -l**2 + 1. Calculate h(r) - 2*k(r). 4*r**2 Suppose -20*b - 47*b + 184 = -90*b. Let f(u) = -21*u**2 - 5*u - 23. Let a(w) = 14*w**2 + 3*w + 15. Calculate b*a(v) - 5*f(v). -7*v**2 + v - 5 Let n(r) = r**2 + 1263*r + 16251. Let w be n(-13). Let d(g) = -g - 1. Let p(a) = 5*a - 2*a + 3 + 4*a. Determine w*p(t) + 4*d(t). 3*t - 1 Let y(d) = 5*d**2 - d - 2. Suppose -5*h + 12 + 12 = 2*b, -18 = -5*b - 2*h. Let c(q) = 1 + 177*q**b - 173*q**2 - 3. Determine -6*c(v) + 5*y(v). v**2 - 5*v + 2 Let n(x) = 62328*x + 3 - 62330*x - 9*x**2 + 2. Let b(r) = 17*r**2 + 3*r - 9. Calculate -6*b(h) - 11*n(h). -3*h**2 + 4*h - 1 Let w(z) = 27*z - 2. Let y(d) = -489*d - 762370 + 762289 + 901*d + 668*d. What is -162*w(s) + 4*y(s)? -54*s Let l(m) = -4*m**2 + 7*m - 3. Let r be (-120)/(-80)*5/(-3)*-4. Let s(u) = r*u - u**2 + 3*u - 12*u - 1. Suppose 0 = -w + 6 - 1. Give w*s(v) - l(v). -v**2 - 2*v - 2 Let q(k) = k + 1. Suppose -917*s + 916*s + 0 = 1. Let u(b) = -4. Calculate s*u(y) + q(y). y + 5 Let k(c) = 7*c**2 + 4*c + 5. Let a(s) be the first derivative of 8*s**3/3 + 2*s**2 + 6*s + 231. Let q be (5 - (-8 + 10))/((-1)/(-2)). What is q*a(n) - 7*k(n)? -n**2 - 4*n + 1 Let p(g) = 1. Let n(z) = -49*z**2 - 5. Let q(i) = -2*i**3 + 50*i**2 - 248*i - 67. Let c be q(18). Calculate c*p(h) + n(h). -49*h**2 Suppose 0 = 3*y + 3*r, -4 = 3*y + 2*r + 2*r. Let j(x) be the second derivative of x**3/6 - x**2 + 2*x - 837. Let k(d) = 4 + 1 - 6. Give y*j(g) - 6*k(g). 4*g - 2 Let b(r) = -14*r - 7. Let g = -15674 + 15669. Let n(m) = 13*m + 6. Determine g*n(q) - 4*b(q). -9*q - 2 Let x(t) = 1. Let p(w) = w**2 - w + 8. Let m be -9 + 5 + (-8)/(-2) + 3. Suppose 4*q - 2 = 2*g, 4*q - 4 = -m*g + 3. Calculate q*p(v) - 4*x(v). v**2 - v + 4 Let d(m) = -2*m - 35. Let t(c) = -2*c - 36. Let x be ((-2)/(-5))/(8 + (-26)/(-5) + -13). Give x*t(k) - 3*d(k). 2*k + 33 Let d(a) = -405*a - 25. Let g(f) = -f - 14. Determine -d(u) + 2*g(u). 403*u - 3 Let p(z) = 21*z**2 + 15. Let u(d) = 3*d**2 + 2. Let q = -2 + 0. Let r(s) = -s**2 + 10*s - 16. Let m be r(7). Suppose -46 = -m*l + 29. What is l*u(k) + q*p(k)? 3*k**2 Let q(y) = y**3 - y**2 + y. Let z be (-2)/(3 - -1 - 14/3). Let v(o) = 3*o + 5*o**z - 1 - 303*o**2 - 302*o**2 + 602*o**2. Give 3*q(w) - v(w). -2*w**3 + 1 Let x(u) = 2*u**2 + 3*u - 10. Let w(p) = -3*p**2 + 101*p - 9. Let i(d) = 2*d**2 - 76*d + 8. Let f(l) = 4*i(l) + 3*w(l). Give -7*f(h) - 3*x(h). h**2 - 2*h - 5 Let z(f) = -16*f**3 + 16*f**2 - 1176. Let b(j) = -5*j**3 + 5*j**2 - 392. Determine 10*b(t) - 3*z(t). -2*t**3 + 2*t**2 - 392 Let s(u) = -11*u**2 - 1. Let k(l) = 7*l**2 - 17. Let a(q) = 8*q**2 - 19. Let v(t) = -8*a(t) + 9*k(t). Calculate -6*s(m) + 6*v(m). 60*m**2 Let r(f) = -4*f - 210. Let x(t) = -2*t - 28. Give r(s) - x(s). -2*s - 182 Let p(y) = -772*y**3 + 11*y**2 + 5. Let d(o) = -3*o**3 + 2*o**2 + 1. Calculate 6*d(b) - p(b). 754*b**3 + b**2 + 1 Let w(g) = 24*g - 15*g**2 - 11*g - 14*g + 16*g**2. Let h = -8 + 17. Let s be 2/6 - (-6)/h. Let t(a) = -4*a. Give s*t(j) - 4*w(j). -4*j**2 Let m(v) = 75*v**2 - 2*v + 71. Let y(l) = 226*l**2 - 6*l + 208. Determine -17*m(o) + 6*y(o). 81*o**2 - 2*o + 41 Let c(n) = 3*n + 1. Let f(y) = 2*y**2 + 10*y - 66. Let s be f(-9). Let o be -3 + 20/s*(-81)/(-45). Let j(w) = 3*w + 2. Give o*j(b) - 4*c(b). -3*b + 2 Let r(a) = a**2. Let f(h) = h**2 - 1. Let k be 2*20/(560/(-42)). Let m = 16 - 17. Give k*r(c) + m*f(c). -4*c**2 + 1 Let v(h) = h**3 - 2*h**2 - 5*h + 4. Suppose 8582 = 9*g + 1544. Let u = -777 + g. Let a(m) = 2*m**3 - 5*m**2 - 11*m + 9. Determine u*v(s) - 2*a(s). s**3 - 3*s + 2 Let d(q) = -7*q**3 + 25*q**2 - 3*q + 5. Let z(o) = -2*o + 20*o**2 - 36*o**2 + 3 + 28*o**2 - 4*o**3. What is -3*d(k) + 5*z(k)? k**3 - 15*k**2 - k Let i(q) = -3*q - 5. Let o(z) = 1. Let s be ((-23)/69)/((-1)/9). Calculate s*i(f) + 15*o(f). -9*f Let l(j) = -15*j**3 - 5*j**2 + 5*j. Let w(b) be the third derivative of -b**6/120 + b**5/60 - b**4/24 + b**2 - 111*b - 3. Determine l(d) + 5*w(d). -20*d**3 Let z(g) = 169*g - 6. Let p(s) = 437*s - 11. Let v(u) = -2*p(u) + 5*z(u). Let b(x) = 57*x + 15. Calculate -6*b(m) - 11*v(m). -23*m - 2 Let k(l) = l**2 + 2*l. Let o(t) = -2*t**2 - 8*t - 1837. Determine 4*k(r) + o(r). 2*r**2 - 1837 Let a(j) = -j**3 + 10*j**2 + 16*j + 5. Let y be a(11). Let u(k) = -k + 28 - y + 28. Let t(h) = -8 - 4*h + 2*h + 0*h + 2. Determine -5*t(b) + 7*u(b). 3*b + 2 Suppose p - b = -6, b = -14*p + 17*p + 18. Let f(x) = x**3 + x**2 + x + 1. Let a(g) = -4*g**3 - 6*g**2 - 4*g - 7. Give p*f(q) - a(q). -2*q**3 - 2*q + 1 Let q(o) = -5*o**3 - 4*o + 8. Suppose 2*u - 30 = -2*d + 20, -3*u = -5*d + 141. Let f = -18 + d. Let z(n) = -n - 29 + 19 + 12 - n**3. Determine f*z(x) - 2*q(x). x**3 - x + 2 Let g(i) = 8*i**2 + 2. Let v(y) = 102*y**2 + 65*y + 20. Determine 11*g(b) - v(b). -14*b**2 - 65*b + 2 Let c(v) = -v**2 + 10. Let s = -182 - -202. Let p(h) = -4*h**2 - 6*h + 43. Let m(r) = 28*r**2 + 40*r - 300. Let i(a) = s*p(a) + 3*m(a). Give 9*c(d) + 2*i(d). -d**2 + 10 Suppose 509*w = 4*u + 505*w - 88, -4*u = -2*w - 72. Let s(f) = -6*f - 34. Let z(d) = -d - 7. Determine u*z(r) - 3*s(r). 4*r + 4 Let k(j) = 683*j**2 - 30*j. Let f(l) = 341*l**2 - 14*l. Give 13*f(v) - 6*k(v). 335*v**2 - 2*v Let v(k) = -445*k**2 - 3*k - 3. Let t(h) = 427*h**2 + 4*h + 4. Determine -3*t(r) - 4*v(r). 499*r**2 Let n(a) = a**2 - 6*a - 2. Let h be 1/23 + 90/46. Let j(c) = -7*c - 2. Give h*n(i) - 3*j(i). 2*i**2 + 9*i + 2 Let d(h) = 5171*h**3 - 14*h**2 - 11*h - 7. Let s(l) = -2581*l**3 + 6*l**2 + 5*l + 3. Give 3*d(o) + 7*s(o). -2554*o**3 + 2*o Let q(p) = -7*p + 2608. Let n(u) = 8*u - 2597. Give -5*n(r) - 6*q(r). 2*r - 2663 Let z(g) = -32*g**2 - g + 12. Let v(b) = -63*b**2 - 2*b + 22. Determine 6*v(t) - 11*z(t). -26*t**2 - t Let m(b) = 2*b**2 + 26*b - 3. Let c(x) = -2*x**3 - 96*x**2 - 100*x - 279. Let n be c(-47). Let j(k) = 2*k**2 + 25*k - 2. What is n*j(z) - 2*m(z)? 2*z**2 + 23*z Let r(g) = -53*g + 3. Let h(w) = 6*w + 2. What is -5*h(a) - r(a)? 23*a - 13 Let d(v) = -7*v**2 + 4*v - 7. Let f(m) = -3*m**2 + 2*m - 4. Let j = -30402 - -30409. Calculate j*f(i) - 4*d(i). 7*i**2 - 2*i Let q(t) = -5*t - 6. Let c(z) = 4*z + 6. Let o be 24/(-80)*-5 - (-45)/18. Give o*c(u) + 3*q(u). u + 6 Let l(g) = 98*g**2 + 3*g - 194*g**2 + 5*g - 5 + 95*g**2. Let q(w) = 0*w**2 - 2*w**2 - 5 + 15*w + 0 - 4. What is 11*l(a) - 6*q(a)? a**2 - 2*a - 1 Let d = -24968 + 24966. Let n(c) = -c. Let y(h) = 5*h - 5. What is d*n(x) - y(x)? -3*x + 5 Let h(a) = -5*a**2 + 2*a - 2076. Let j(c) = -11*c**2 + 4*c - 4153. What is 9*h(f) - 4*j(f)? -f**2 + 2*f - 2072 Let d(w) = 5*w**2 - 3. Let a(l) = 292*l - 1750. Let v be a(6). Let y(z) = 5*z**2 - 3. What is v*d(m) - 3*y(m)? -5*m**2 + 3 Let c(y) = y**2 + 3. Let u(a) = -2*a**2 - 7. Suppose 5*h = b - 17, 0 = 4*h + 7*b - 381 + 340. Suppose 0
{ "pile_set_name": "DM Mathematics" }
t is the units digit of 14? 4 What is the thousands digit of 42781? 2 What is the hundreds digit of 9664? 6 What is the ten thousands digit of 25016? 2 What is the tens digit of 758? 5 What is the ten thousands digit of 34390? 3 What is the ten thousands digit of 15611? 1 What is the hundreds digit of 1377? 3 What is the tens digit of 3636? 3 What is the hundreds digit of 604? 6 What is the units digit of 1247? 7 What is the units digit of 6290? 0 What is the hundreds digit of 9169? 1 What is the tens digit of 48608? 0 What is the tens digit of 1009? 0 What is the units digit of 365? 5 What is the tens digit of 724? 2 What is the units digit of 2495? 5 What is the thousands digit of 2615? 2 What is the units digit of 1352? 2 What is the hundreds digit of 652? 6 What is the ten thousands digit of 26832? 2 What is the units digit of 9617? 7 What is the thousands digit of 5869? 5 What is the hundreds digit of 3212? 2 What is the tens digit of 5938? 3 What is the thousands digit of 31363? 1 What is the tens digit of 981? 8 What is the units digit of 23792? 2 What is the units digit of 28341? 1 What is the hundreds digit of 3884? 8 What is the thousands digit of 10813? 0 What is the ten thousands digit of 10469? 1 What is the tens digit of 1493? 9 What is the tens digit of 290? 9 What is the hundreds digit of 714? 7 What is the ten thousands digit of 31344? 3 What is the hundreds digit of 667? 6 What is the ten thousands digit of 14378? 1 What is the tens digit of 909? 0 What is the thousands digit of 5638? 5 What is the hundreds digit of 30987? 9 What is the tens digit of 12652? 5 What is the units digit of 796? 6 What is the tens digit of 8221? 2 What is the tens digit of 8202? 0 What is the thousands digit of 25107? 5 What is the thousands digit of 39176? 9 What is the thousands digit of 1093? 1 What is the ten thousands digit of 42639? 4 What is the thousands digit of 35765? 5 What is the units digit of 1193? 3 What is the hundred thousands digit of 123401? 1 What is the hundreds digit of 537? 5 What is the units digit of 1495? 5 What is the units digit of 9180? 0 What is the units digit of 4311? 1 What is the units digit of 510? 0 What is the hundreds digit of 176? 1 What is the thousands digit of 1948? 1 What is the thousands digit of 1100? 1 What is the hundreds digit of 1459? 4 What is the hundreds digit of 918? 9 What is the ten thousands digit of 24814? 2 What is the thousands digit of 31591? 1 What is the units digit of 3578? 8 What is the tens digit of 1654? 5 What is the hundreds digit of 20226? 2 What is the ten thousands digit of 46137? 4 What is the units digit of 946? 6 What is the units digit of 1002? 2 What is the hundreds digit of 58081? 0 What is the hundreds digit of 780? 7 What is the thousands digit of 7572? 7 What is the tens digit of 22087? 8 What is the tens digit of 3073? 7 What is the units digit of 35512? 2 What is the units digit of 2200? 0 What is the tens digit of 1300? 0 What is the hundreds digit of 10374? 3 What is the tens digit of 1055? 5 What is the tens digit of 115952? 5 What is the hundreds digit of 34168? 1 What is the hundreds digit of 20056? 0 What is the tens digit of 43911? 1 What is the thousands digit of 8250? 8 What is the units digit of 33931? 1 What is the tens digit of 693? 9 What is the tens digit of 269? 6 What is the units digit of 403? 3 What is the thousands digit of 91104? 1 What is the hundreds digit of 2191? 1 What is the hundreds digit of 761? 7 What is the tens digit of 367? 6 What is the tens digit of 424? 2 What is the units digit of 71796? 6 What is the thousands digit of 1052? 1 What is the tens digit of 3868? 6 What is the hundreds digit of 921? 9 What is the ten thousands digit of 32114? 3 What is the hundreds digit of 115669? 6 What is the tens digit of 1320? 2 What is the thousands digit of 4289? 4 What is the hundreds digit of 301? 3 What is the tens digit of 1025? 2 What is the units digit of 600? 0 What is the hundreds digit of 27946? 9 What is the hundreds digit of 489? 4 What is the hundreds digit of 4969? 9 What is the ten thousands digit of 128983? 2 What is the tens digit of 38863? 6 What is the tens digit of 650? 5 What is the hundreds digit of 2103? 1 What is the units digit of 1102? 2 What is the tens digit of 19217? 1 What is the thousands digit of 19960? 9 What is the thousands digit of 2628? 2 What is the tens digit of 1920? 2 What is the hundreds digit of 5508? 5 What is the hundreds digit of 6057? 0 What is the tens digit of 68354? 5 What is the thousands digit of 4088? 4 What is the thousands digit of 2039? 2 What is the tens digit of 6138? 3 What is the hundreds digit of 4093? 0 What is the hundreds digit of 13570? 5 What is the ten thousands digit of 68013? 6 What is the hundreds digit of 4442? 4 What is the hundreds digit of 861? 8 What is the tens digit of 55? 5 What is the units digit of 4253? 3 What is the hundreds digit of 48463? 4 What is the units digit of 67908? 8 What is the hundreds digit of 1359? 3 What is the units digit of 207? 7 What is the tens digit of 800? 0 What is the hundreds digit of 52878? 8 What is the hundreds digit of 5104? 1 What is the ten thousands digit of 16919? 1 What is the units digit of 2024? 4 What is the thousands digit of 5207? 5 What is the hundreds digit of 727? 7 What is the tens digit of 1725? 2 What is the hundreds digit of 97531? 5 What is the hundreds digit of 21437? 4 What is the units digit of 3450? 0 What is the thousands digit of 2879? 2 What is the units digit of 176? 6 What is the thousands digit of 4125? 4 What is the hundreds digit of 667? 6 What is the units digit of 3024? 4 What is the hundreds digit of 9369? 3 What is the ten thousands digit of 31966? 3 What is the thousands digit of 3421? 3 What is the hundreds digit of 237? 2 What is the units digit of 931? 1 What is the tens digit of 38? 3 What is the tens digit of 835? 3 What is the thousands digit of 9187? 9 What is the hundreds digit of 10481? 4 What is the hundreds digit of 6403? 4 What is the tens digit of 714? 1 What is the units digit of 2417? 7 What is the hundreds digit of 7547? 5 What is the units digit of 69164? 4 What is the tens digit of 930? 3 What is the units digit of 5742? 2 What is the thousands digit of 3052? 3 What is the units digit of 5731? 1 What is the thousands digit of 8293? 8 What is the hundreds digit of 1155? 1 What is the units digit of 73034? 4 What is the units digit of 1575? 5 What is the hundreds digit of 11987? 9 What is the ten thousands digit of 34131? 3 What is the thousands digit of 48305? 8 What is the hundreds digit of 79970? 9 What is the hundreds digit of 913? 9 What is the units digit of 3413? 3 What is the hundreds digit of 274? 2 What is the tens digit of 1955? 5 What is the thousands digit of 2825? 2 What is the hundreds digit of 4865? 8 What is the hundreds digit of 43104? 1 What is the units digit of 67130? 0 What is the units digit of 2549? 9 What is the ten thousands digit of 39874? 3 What is the thousands digit of 1173? 1 What is the tens digit of 39? 3 What is the hundreds digit of 236? 2 What is the units digit of 5014? 4 What is the thousands digit of 111860? 1 What is the thousands digit of 4386? 4 What is the hundreds digit of 17015? 0 What is the tens digit of 23183? 8 What is the units digit of 51506? 6 What is the thousands digit of 1217? 1 What is the hundreds digit of 4672? 6 What is the ten thousands digit of 14926? 1 What is the ten thousands digit of 111117? 1 What is the ten thousands digit of 46189? 4 What is the units digit of 22710? 0 What is the hundreds digit of 1363? 3 What is the hundreds digit of 1662? 6 What is the hundreds digit of 8169? 1 What is the ten thousands digit of 32073? 3 What is the tens digit of 41881? 8 What is the hundreds digit of 810? 8 What is the tens digit of 9040? 4 What is the ten thousands digit of 29694? 2 What is the hundreds digit of 519? 5 What is the thousands digit of 5366? 5 What is the units digit of 3240? 0 What is the tens digit of 2223? 2 What is the units digit of 45221? 1 What is the units digit of 79616? 6 What is the hundreds digit of 27628? 6 What is the tens digit of 743? 4 What is the hundreds digit of 470? 4 What is the units digit
{ "pile_set_name": "DM Mathematics" }
2 + 3*d + d**3. Suppose -13*u + 62 = 10. Calculate a(u). 0 Let r(a) = a**2 - 2*a. Let p = -7 + 11. Determine r(p). 8 Suppose 0 = -3*y + y + 6. Let f(i) be the second derivative of i**4/12 - 4*i**3/3 + 2*i**2 + 2*i. Give f(y). -11 Let h(o) = o**3 - 2 + 1 - 7*o**2 + 4. Give h(7). 3 Let v be -2*(-3)/(-9)*-36. Let x = 20 - v. Let s(j) = j**2 + 4*j + 3. What is s(x)? 3 Let z(j) = -j - 2. Let a(s) be the third derivative of s**5/15 + s**4/12 + s**3/6 + 2*s**2. Let l be a(-1). Suppose p + 2 = l*d - 10, p + 4 = d. Determine z(p). -2 Let m = -6 - -4. Let i(c) be the first derivative of c**4/4 + 4*c**3/3 + 2. Calculate i(m). 8 Suppose 15 = i - 4*p, -16 = -4*p + 8*p. Let u(j) be the first derivative of j + 4/3*j**3 + 0*j**2 - 1. Determine u(i). 5 Let n(q) = -37*q**2 - 29*q**2 - 2 - 2*q + 67*q**2. Determine n(-3). 13 Let x(v) = v + 1. Suppose 0 = -3*t + 1 + 5. Let c be (-3)/(t - 12/8). Give x(c). -5 Let z be (-1 - 0)/(5/(-50)). Suppose -5*n = -0*n - z. Let w(v) be the second derivative of v**3/6 - 2*v**2 - 5*v. Determine w(n). -2 Suppose 3*i = -y - 7, 4 + 5 = -3*i. Let z = -1 - y. Let w(j) = -2*j - 4. Give w(z). 2 Let j(s) be the third derivative of s**5/60 - s**4/8 - s**3/3 - 3*s**2. Let n(b) be the first derivative of j(b). Calculate n(5). 7 Let p(w) = -16*w**3 + 2*w - 1. Suppose 5*n + 19 = -a, 0 = 5*a + n - 1. What is p(a)? -15 Let c(a) = -a**3 + 4*a - 3. Let f(s) = -s**3 + 6*s**2 - s + 8. Let h be f(6). Determine c(h). -3 Let x(l) be the first derivative of -1/2*l**2 + 1 + 7/3*l**3 + 0*l. What is x(1)? 6 Let p(y) = y**2 + 5*y + 2. Let l = -65 + 59. Determine p(l). 8 Suppose 5*g + 0*g = 10. Let z(d) = -2*d**2 + 3*d - 1. Let u be z(g). Let y(r) = -r**2 - 3*r - 1. What is y(u)? -1 Let b(k) = k**3 - 11*k**2 + 8*k + 1. Let m(r) = -r**3 + 12*r**2 - 9*r - 2. Let z(u) = -5*b(u) - 4*m(u). Determine z(6). 15 Let c(b) = -4*b - 1. Let g(k) = -4*k - 1. Suppose 0 = 4*m + a + 15, 4*m + 11 = -3*a - 2*a. Let d(f) = m*c(f) + 3*g(f). What is d(1)? 5 Let q(g) = g - 5. Let d be q(10). Let v(o) = -o**3 + 4*o**2 + 5*o + 7. What is v(d)? 7 Let h(n) be the first derivative of -n**4/12 + n**3/2 + n**2/2 + 1. Let d(m) be the second derivative of h(m). Give d(3). -3 Let q(x) be the first derivative of 4 + 4*x - 1/2*x**2. What is q(4)? 0 Suppose 4*y = 2*r + 10, -4*y + 3 = 3*r + 2*r. Let f(a) = a**2 + a. Determine f(r). 0 Suppose -3*f = 3*s - 9, 8 = 4*s - 2*f + 2. Let j be 6 + (-1 - 1) + s. Let k(t) = t**2 - 5*t - 5. Calculate k(j). 1 Let o = 5 + -5. Suppose 5*l + 5 + 7 = 3*k, -l + 4 = k. Suppose w - 4 + l = o. Let s(i) = 3*i - 6. Calculate s(w). 6 Suppose 0 = -5*v - 3*j - 24, v + j = 6*v + 32. Let t be (-12)/(-18) + 112/v. Let k be (1/3)/((-2)/t). Let b(a) = a - 2. What is b(k)? 1 Suppose 0 = 19*d - 21*d + 10. Let i(m) = -m**2 + 4*m + 3. Give i(d). -2 Let i(d) be the first derivative of -d**3/3 + d**2 + 6*d + 1. Give i(5). -9 Suppose 3*g = 386 + 163. Suppose -23 = 4*w - g. Suppose 0 = -2*d + t - 11, 3*d - 5*t + w = -2*d. Let v(z) = -z**2 - 3*z - 1. Calculate v(d). -1 Let a(s) = -s. Let l(r) = r**2 + 8*r + 5. Suppose -b = 4*u + 1, 15 + 7 = -3*u - 5*b. Let d = u - 9. Let k be l(d). Give a(k). -5 Suppose -10 = 2*z + 3*z. Let v = z + 4. Let k(b) = -2*b**3 + b**3 - 5*b**v + 0*b**2 - 4 - 5*b. What is k(-4)? 0 Let b be (-6 - 11/(-2)) + 10/(-4). Let u(f) be the second derivative of -f**3/6 - 3*f**2/2 - f. Calculate u(b). 0 Suppose 0 = -3*j + 3*i - 6, -2*i + 8 = -0*i. Let k(r) = 5 - r**j + 7*r - 15*r - 3. What is k(-8)? 2 Let u(s) be the second derivative of s**6/720 + s**5/20 - s**4/3 - 2*s. Let z(c) be the third derivative of u(c). Let w be 2/(-8)*-2*0. What is z(w)? 6 Let b(d) be the first derivative of d**7/840 - d**6/60 + d**5/24 + d**4/6 + 5*d**3/3 + 3. Let t(y) be the third derivative of b(y). What is t(4)? -8 Let o(a) = -2*a**2 - 5*a - 5. Let x(d) = -3*d**2 - 5*d - 6. Let u(h) = -4*o(h) + 3*x(h). What is u(5)? 2 Let r(l) be the third derivative of 1/60*l**5 + 0*l + 1/6*l**3 + l**2 - 1/12*l**4 + 0. Calculate r(3). 4 Let d = -1 + -5. Let z(f) be the first derivative of f**3/3 + 2*f**2 - 7*f + 22. What is z(d)? 5 Suppose -6*l - 21*l = 216. Let j(h) = -h - 4. Calculate j(l). 4 Let n(o) = -6*o + 25*o**2 + 7 - 26*o**2 + 12*o. Determine n(6). 7 Let y(c) = 8*c**2 - 7*c - 3. Let i(v) = -23*v**2 + 20*v + 9. Let z(l) = -6*i(l) - 17*y(l). Give z(3). 12 Suppose -5*b + 3 = -4*b. Let q(o) = -2*o**2 + 3*o + 4. Give q(b). -5 Let z(p) = 6 - p**2 + 5 - 4. Let x be (0 - -4) + -1 + -3. What is z(x)? 7 Let n(k) = k. Let l be n(-2). Let z = l + 4. Let b(j) = -7*j + 0*j**2 + 2 + j**z + j. Give b(4). -6 Let c(j) = j**2 + j. Let d(w) = -5*w**2 - 12*w + 1. Let l(q) = 6*c(q) + d(q). Let b be (-189)/(-6) + 1/2. Let a be b/6 + (-2)/(-3). Calculate l(a). 1 Let k(u) be the second derivative of -u**4/12 + u**3 - 2*u**2 - 4*u. Determine k(5). 1 Suppose 2*x = 3 - 1, 2*w - 1 = -x. Suppose w = -3*f - 3*b - 9, 5*f + 4*b = 6*b - 8. Let s(d) = d**2. Determine s(f). 4 Suppose -5*n + 5*y - 7 = -57, -2*n + 25 = -3*y. Let o(h) be the second derivative of h**4/12 - 5*h**3/6 - h**2 - h. Calculate o(n). -2 Let v(g) = g + 13. Let c be v(-7). Let l = c + 0. Let u(x) = -x + 8. What is u(l)? 2 Let z(h) = -14*h + 1. Let b(u) = u + 17. Let o be b(-13). Suppose 0 = -l + 3*n + o, -n = 4*l + 3*n. Determine z(l). -13 Let g(l) = -3*l + 1. Suppose -4*s - 1 = 3*j, 0*s - 2*s + 5*j + 19 = 0. What is g(s)? -5 Suppose -j = -3, 3*x - 30 = -0*x - 2*j. Let s = 8 + 0. Let i(v) = 4*v**2 + x - s. Calculate i(-1). 4 Let z(v) = -v**2 - 3. Suppose -2*i = 1 - 7. Let f = i + -2. Let j = f + -1. Determine z(j). -3 Let o(a) = 5*a + 1. Let i(h) be the first derivative of -11*h**2/2 - h + 1. Let q(s) = -3*i(s) - 7*o(s). Give q(-5). 6 Suppose 3*r + 20 = 4*c, -3*c + c - 5*r = 16. Let u be -9 - -6 - (-13 - -1). Let y(h) = -5*h**2 - h - 1 - u*h**2 + 15*h**2. Determine y(c). 1 Let m(w) be the third derivative of -1/24*w**4 + 0*w - 3*w**2 + 0 - 1/120*w**5 - 1/2*w**3. Let u(r) be the first derivative of m(r). Give u(-4). 3 Let h(b) = 5*b**3 + b**2 - 10*b + 1. Let m(n) = 11*n**3 + 3*n**2 - 21*n + 2. Let q(s) = -9*h(s) + 4*m(s). Calculate q(4). 7 Let r(k) = k**2 + 9. Suppose 5*x - f = 2, -f + 0 = 2. Determine r(x). 9 Let u(r) = 68*r**2 - 67*r**2 - 2 - 14*r**3 + 3 - r. Calculate u(1). -13 Let u(x) = -x**3 - x**2 + 1. Let t(p) = p**3 + 5*p**2 + 4*p + 1. Let q(w) = -t(w) - 2*u(w). What is q(4)? -3 Let l(r) = 27*r**2 + 3*r + 1 - 26*r**2 - 4*r**3 + 6*r. Let s(i) = 3*i**3 - 8*i - 1. Let v(h) = 4*l(h) + 5*s(h). Calculate v(3). -4 Let s(a) = -5*a. Let d(k) = -5*k. Let g(l) = l**3 - 6*l**2 - 7*l + 3. Let z be g(7). Let q(u) = z*d(u) - 2*s(u). What is q(1)? -5 Let o(s) = -s - 2. Let i be o(-6). Suppose i*r + x = -27, 4*x = -6 - 6. Let n(u) = -u**2 - 7*u - 7. Determine n(r). -1 Suppose 8 = 2*q - 0. Let k(i) = -5*i - 3 - 3 + q - i**2. Suppose 3*z + z = -20. Give k(z). -2 Let j(b) be the third derivative of 3*b**2 + 1/24*b**4 + 0*b**3 - 1/120*b**5 - 1/180*b**6 + 0*b + 0. Let q(r) be the second derivative of j(r). Determine q(-2). 7 Suppose g = 6*g + 10. Let q be -2*g/12*-3. Let v(n) = -6*n. Calculate v(q). 6 Let x(d) = 5*d**3 - 3*d**2 + 3*d + 8. Let k(j) = j**3 - j**2 + j + 1. Let r(i) = -6*k(i) + x(i). Calculate r(2). 0 Let j(u) = -u**3 + 5*u**2 - u - 2. Let g be 3/((-3)/(-1))*87. Let r be 2/(-10) + g/(-15). Let m be 3/((-3)/2) - r. Determine j(m). 10 Let z(l) = -l**2 - 10*l - 7. Let m be z(-9). Let n(r) = -m + 0*r - 3*r + r. Let u be (-2 - -5) + -3 + 2. Calculate n(u). -6 Let o(f) be the third derivative of -f**6/120 + f**5/15 + f**4/4 - f**3/6 + f**2. Suppose 0 = 3*y + d + 4*d + 29, 3*y - d = -59. Let n = y + 23. Give o(n). 4 Let q = -11 + 12. Let m(s) be the third derivative of -s**5/10 - s**4/24 + s**3/6 + s**2. Determine m(q). -6 Let p(r) = 0*r + r + 1 + 1. Let s = 58 + -106. Let o be 4/6 - s/(-18). Calculate p(o). 0 Let i(p) = p**3 - 12*p**2 - 14*p + 9. Let k be i(13). Let q(a) = a**3 + 4*a**2 - a + 1. What is q(k)? 5 Let j(x) = x**3 - 5*x**2 + 3*x + 3. Let k be ((3 - 2) + -1)/1. Suppose k = g - 4*g + 9. Give j(g). -6 Suppose -a = -2*x + x + 5, -4*a - 5 = -x. Let p = x + -3. Let i(l) = l**3 - 2*l**3 + 0*l - l + 0*l - l**p. What is i(-2)? 6 Let m = 13 + -11. Let p(y) be the second derivative of 1/3*y**3 + 3*y**m - y + 0. Calculate p(-4). -2 Let l(v) = -v - 3. Let s = -
{ "pile_set_name": "DM Mathematics" }
((6 - 3) + -2)*0. Is f(v) a composite number? False Let v = -349 - -708. Is v composite? False Let a = 897 - -1580. Is a a prime number? True Let s = -12 - -29. Suppose 531 = 17*w - 387. Let l = w - s. Is l prime? True Suppose -6*l + 17324 - 1700 = 0. Suppose -3*s = -3, -2*b = -2*s - l - 1390. Suppose 0 = 3*i - 6, 0 = r + 3*r + i - b. Is r composite? False Let r = -1176 + 4603. Is r composite? True Is (-10674)/4*(-108)/162 prime? False Is 1/3 + (-2471952)/(-126) a prime number? False Let u(f) = 7*f**3 + 3*f**2 - 7*f + 19. Let a = 148 - 144. Is u(a) a composite number? False Suppose 0 = o + z + 3*z - 7, -5*o + 3*z = -58. Let a(k) = -k**3 + 11*k**2 + 3. Let u be a(o). Is (1 - -2 - u) + 1087 a composite number? False Let c = -19 + 21. Suppose 0*s = c*d + s - 939, -2*d = 4*s - 954. Is d a prime number? True Let t = 1103 - 4646. Let d = t - -4995. Suppose -4*y = o + 4*o - 2433, -5*y + d = 3*o. Is o a prime number? False Suppose 7*c - 3*c = 788. Let s = 300 - c. Is s prime? True Suppose -3737 - 2563 = -5*l + 5*q, -5*l + 6285 = -2*q. Let m = l + -368. Is m a prime number? True Let n = 17 + -26. Let g be 5/4 + n/(-12). Suppose -3*o + 5*o = b + 397, 5*o + g*b = 1015. Is o composite? True Suppose -5*t - 5358 + 44236 = 4*k, -4*t = -5*k + 48618. Is k prime? False Suppose 13*z - 41 = 37. Let k(o) = -381*o + 2. Let h(c) = -190*c + 1. Let a(w) = -9*h(w) + 4*k(w). Is a(z) prime? False Let u(i) = -i - 5. Let g be u(-5). Suppose w - 5*w + 400 = 0. Suppose -k + w + 61 = g. Is k composite? True Suppose 6126 = 3*h + 5*r, -2*h + 1311 = 2*r - 2777. Is h a composite number? True Let k(v) = 3*v + 15 - 14*v - 8*v - 4*v. Let s be (1/(-1))/1 - 12. Is k(s) a prime number? False Let q(b) = -117*b + 33. Let w be q(-22). Suppose 0*i + 3*i = w. Is i composite? True Let c(w) = -w. Let x be c(8). Let r = x + 275. Is r composite? True Let u(w) = w + 4. Let c be u(-2). Suppose -2*y - 4*n = y - 70, -c*y = 5*n - 42. Let r = 228 + y. Is r prime? False Let j(g) = -g**2 + 211. Suppose -3*c - 2 = p - 9, -5*c - 2*p = -11. Suppose 0 = -4*v - c*y, v + 5*y - y = 0. Is j(v) composite? False Suppose 2*w = -4*o - 0*w + 552888, 0 = 2*o - 2*w - 276438. Is o a composite number? True Suppose 58971 = 21*g - 52980. Is g composite? True Let s = 7917 + -4591. Suppose -5*m - 3*o + s = 0, -4*m - 5*o + 2656 = -o. Is m composite? True Let j = 42 - 7. Suppose -p + 124 = -j. Suppose -5*a + w - 4*w = -782, a - 2*w = p. Is a prime? True Suppose -6*d = -4*d - 2. Let g be (-1707)/6 + d/(-2). Is g/(-6) + (-9)/(-6) a prime number? False Let u = -14 - -16. Suppose -3*k + 3*y = -6, 4*y - 6 - u = 0. Suppose 0 = -2*t - 2, -k*t = 4*i - 0*t - 672. Is i a prime number? False Let i(m) = -14*m + 7. Let p be i(-2). Suppose -6*s + 713 - p = 0. Is s a composite number? False Let g = 583 + -276. Is g a prime number? True Is (-105648)/(-16) + -9 - 1/1 a composite number? True Let n(o) = -3*o - 6. Let m be n(0). Let z(q) = 0*q + 1 - 5*q - 7*q + q**2 - q**3 + 4*q. Is z(m) a prime number? False Suppose -x - 3*j + 194 = 0, 2*x + 135 = -j + 538. Is x a prime number? False Suppose 0 = -t + 5*t + 4*v - 16, 4*t = 3*v + 2. Suppose 8 - 4 = t*f, -3*d + 1911 = 3*f. Is d prime? False Suppose h = -0*h - 4*p + 528, -4*h = -3*p - 2150. Suppose -3*q + h = 5*o - 4*q, -324 = -3*o + 3*q. Suppose 0 = 3*r + o - 464. Is r prime? False Suppose -k - 2*k = 3*b - 84600, -3*b = -4*k - 84565. Is b a prime number? False Is 4063617/437 - (-4)/38 a prime number? False Let a = 1 - 1. Suppose -3*x - x + 236 = a. Is x a composite number? False Let u(s) be the first derivative of s**3/3 + 2*s - 4. Let v be u(0). Suppose v*p - 251 = p. Is p prime? True Let y(i) = 5 + 2*i + 2*i + 5 - 6*i. Let t be y(-7). Suppose -69 = 23*c - t*c. Is c a composite number? True Suppose -4*j + 0*j = -236. Suppose 3*y - 48 = -u, -u + 2*y = -6*u + 292. Let z = u + j. Is z composite? True Is (35 - -2)/((-4)/40*-2) prime? False Let m(t) be the second derivative of 13*t**5/20 - t**4/6 + t**2/2 + t. Let c be m(1). Is 254 + -4*c/(-16) a prime number? True Let q be (6/(-21))/(2/(-14)). Let k be (-2*4)/1 + q. Let t = k - -191. Is t a composite number? True Let s = 17 + -11. Let v(w) = 3*w - 14. Let z be v(s). Suppose -3*n + l = -31, -z*n = l - 14 - 25. Is n prime? False Suppose -3*c + 15 = -3*a, 4*a = -4*c - 1 - 3. Let t be (a/(-6))/(5/1990). Suppose w + 0*w = -1, y = -4*w + t. Is y composite? True Let y(j) = -j + 567. Let d be y(0). Let u = 953 - d. Is u/3 - (-13)/39 prime? False Let z be 2/4*(9 - 9). Suppose z = a - 39 - 72. Is a composite? True Suppose -4*c = 12, 3*c = n - 1 - 16. Is n/14 + (-2918)/(-14) a prime number? False Let j(l) = -892*l + 23. Is j(-42) a composite number? True Let q(g) = 2*g**3 + 76*g**2 + 68*g + 95. Is q(-34) composite? True Let u(o) = 5*o**2 + o + 11. Suppose -2*y = 3*j - 2, -2*j - 7 = y + 2*y. Is u(j) a prime number? False Suppose -3*c + 3*r + 309 = 0, -2*c - r + 2*r = -206. Let y = 399 + c. Is y a composite number? True Is -4 - (-5 - -7) - (-3440 - -1) prime? True Let t(h) be the third derivative of 7*h**4/3 + 29*h**3/6 - 19*h**2. Is t(4) composite? True Suppose 0 = 6*v - 8*v. Suppose -2*j + 6 = -v*j. Let f(w) = 27*w + 6. Is f(j) prime? False Suppose -3*o = 3*c + 704520, -2*c = -4*o + o + 469665. Is c/(-153) + 4/34 prime? False Let k(f) = -1673*f - 114. Is k(-5) a composite number? True Let j(m) = -42*m. Let u be j(6). Let p(l) = l**3 + 14*l**2 - 3*l - 1. Let d be p(-11). Let q = d + u. Is q prime? False Let b = -799 - -1411. Suppose -l = -r - 2*l - 196, b = -3*r + 3*l. Is r/(-8 + 4) - 3 prime? True Is (-891)/(-81)*1*569 composite? True Let b(g) = -9*g + 97. Is b(7) a prime number? False Let i(l) be the third derivative of -35*l**4/8 - l**3/6 - 5*l**2. Let v be i(2). Is 1 - (v + 2 + -1) composite? False Suppose 3*a = -4*b + 22, 3*a - 6 = -0*a. Let n be (-6396)/(-91) + b/(-14). Let x = -31 + n. Is x a prime number? False Suppose -13*h = -18*h + 20. Suppose -h*n + 510 = -374. Is n composite? True Let m = 126 - 123. Let v = 4670 - 2070. Suppose -5*p + 2*b = m*b - 3262, -4*p = 4*b - v. Is p prime? True Let r(g) = -g**3 + 13*g**2 + 15*g - 5. Suppose 0 = 4*l - 2*l - 5*h - 5, -2*l + 4*h = -8. Is r(l) prime? False Let k(t) be the second derivative of 181*t**4/4 + t**3/6 + t**2/2 - 21*t. Is k(-1) composite? True Let i = 19 + -4. Let d = -22 + i. Let z(j) = -51*j + 2. Is z(d) prime? True Suppose 18644 + 10091 = 7*t. Is t prime? False Suppose -2*w + 6922 = -h, -w - 6*h + 4*h + 3471 = 0. Is w prime? True Suppose 4*w = 5*o + 5*w - 13535, -5414 = -2*o + 4*w. Is o a prime number? True Suppose -2*c - 2*m + 16287 = 1551, 0 = -2*c + 3*m + 14741. Is c a composite number? False Suppose 0 = -3*u + 3*t + 16533, 5*u - 4*t + 8*t = 27519. Is u prime? True Suppose -41*f + 384401 = 83830. Is f composite? False Let x(j) be the third derivative of 37*j**5/40 + j**4/24 + 2*j**3/3 + 4*j**2. Let w(v) be the first derivative of x(v). Is w(2) composite? False Suppose -9*t + 54081 = -64080. Is t prime? False Suppose -x + 5266 = -5*g + 8*g, g - 4*x - 1764 = 0. Suppose -g = -13*w + 3405. Is w a prime number? True Let k(a) = a**3 - 32*a**2 + 99*a - 13. Is k(29) prime? False Suppose 5*u = -4*b + 500, 4*b - 227 = 2*u + 301. Suppose -p + 1133 = b. Is p prime? False Let a be (-211760)/(-14) - (182/49 + -4). Is 3/(-2)*a/(-9) prime? True Suppose 2*y - 216 = 9862. Suppose 4*r - 5064 = -4*z, 5*z - z - r - y = 0. Suppose 6*v = z + 3449. Is v prime? False Suppose y + 3*j = -4, 0 = -2*y + 3*j + 1 + 9. Suppose 2*q - y*m = -20 + 3658, q + 5*m - 1819 = 0. Is q a composite number? True Let c = 6014 + -2996. Suppose 0 = 19*q - 25*q + c. Is q prime? True Let k be (-431950)/18 + 18/81. Is 12/54 - k/27 composite? True Let q = 12 - 12. Suppose -1 = -b - q. Is b + 2/2 + 87 composite? False Let y be (-3)/(-2 + 4/4). Suppose 0 = 5*n - 12 - y. Suppose 111 = p + n*p + 5*x, -3*p - 3*x = -87. Is p a prime number? False Is (-342172)/(-393)*(-87)/(-4) a prime number? False Let q = 221 - 154. Suppose q = 23*h - 22*h. Is h composite? False Is 6*(-3)/(-45) + 102666/10 composite? False Suppose 3*q + 3*q - 108 = 0. Let c = q - -18. Suppose c = 4*m - 40. Is m a composite number? False Let a be (98/21)/((-1)/(-219)). Let z = a - -2243. Is z a prime number? False Suppose -5*q = 5*j - 77488 - 45462, 0 = 2*j + q - 49183. Is j a com
{ "pile_set_name": "DM Mathematics" }
rs of 78713. 78713 What are the prime factors of 9298251? 3, 1033139 List the prime factors of 509344. 2, 11, 1447 What are the prime factors of 129463? 37, 3499 List the prime factors of 273877. 103, 2659 List the prime factors of 232169. 7, 17, 1951 What are the prime factors of 3699994? 2, 29, 63793 What are the prime factors of 62561? 73, 857 What are the prime factors of 7898? 2, 11, 359 What are the prime factors of 18889? 13, 1453 What are the prime factors of 3645067? 43, 103, 823 List the prime factors of 13628616. 2, 3, 269, 2111 List the prime factors of 40487393. 29, 59, 23663 List the prime factors of 2043150. 2, 3, 5, 53, 257 What are the prime factors of 12345684? 2, 3, 13, 79139 List the prime factors of 256066. 2, 128033 List the prime factors of 8497170. 2, 3, 5, 11, 2861 What are the prime factors of 136780? 2, 5, 7, 977 List the prime factors of 33873701. 33873701 What are the prime factors of 6040391? 7, 862913 What are the prime factors of 7986913? 11, 61, 11903 List the prime factors of 860961. 3, 286987 List the prime factors of 435402. 2, 3, 11, 733 What are the prime factors of 11731779? 3, 109, 11959 List the prime factors of 244198. 2, 122099 What are the prime factors of 99571? 99571 List the prime factors of 6221062. 2, 3110531 List the prime factors of 19920336. 2, 3, 89, 4663 What are the prime factors of 106469? 11, 9679 What are the prime factors of 742556? 2, 73, 2543 List the prime factors of 18965135. 5, 7, 19, 79 List the prime factors of 15641101. 7, 83, 26921 What are the prime factors of 1492365? 3, 5, 7, 61, 233 List the prime factors of 1328214. 2, 3, 19, 61, 191 List the prime factors of 17492534. 2, 8746267 What are the prime factors of 1223968? 2, 23, 1663 What are the prime factors of 125062? 2, 7, 8933 What are the prime factors of 538187? 13, 41399 What are the prime factors of 326810? 2, 5, 11, 2971 What are the prime factors of 2843313? 3, 11, 86161 List the prime factors of 1347803. 19, 70937 What are the prime factors of 404289? 3, 29, 1549 List the prime factors of 63932. 2, 11, 1453 What are the prime factors of 17136606? 2, 3, 41, 69661 List the prime factors of 6693340. 2, 5, 334667 What are the prime factors of 239733? 3, 13, 683 List the prime factors of 3806756. 2, 951689 List the prime factors of 185500. 2, 5, 7, 53 What are the prime factors of 7432626? 2, 3, 1238771 List the prime factors of 933950. 2, 5, 18679 What are the prime factors of 3209367? 3, 7, 67, 2281 List the prime factors of 41295. 3, 5, 2753 What are the prime factors of 5103011? 1367, 3733 List the prime factors of 1095346. 2, 7, 11177 List the prime factors of 78561. 3, 7, 29, 43 What are the prime factors of 7620039? 3, 7, 37, 467 What are the prime factors of 4705916? 2, 349, 3371 What are the prime factors of 194396? 2, 23, 2113 List the prime factors of 426870. 2, 3, 5, 17, 31 List the prime factors of 46511. 46511 What are the prime factors of 3270253? 7, 139, 3361 List the prime factors of 296319. 3, 98773 What are the prime factors of 84391? 84391 List the prime factors of 243855. 3, 5, 5419 What are the prime factors of 7931528? 2, 11, 193, 467 What are the prime factors of 750663? 3, 83407 What are the prime factors of 8325251? 11, 47, 16103 List the prime factors of 722522. 2, 23, 113, 139 List the prime factors of 3063176. 2, 61, 6277 What are the prime factors of 8868151? 8868151 List the prime factors of 14960114. 2, 13, 29, 19841 List the prime factors of 462171. 3, 154057 What are the prime factors of 1410903? 3, 13, 31, 389 What are the prime factors of 8527970? 2, 5, 11, 77527 List the prime factors of 9927. 3, 1103 What are the prime factors of 9874213? 31, 318523 List the prime factors of 563093. 29, 19417 List the prime factors of 1208259. 3, 13, 23, 449 What are the prime factors of 3065825? 5, 7, 17519 What are the prime factors of 1343693? 13, 41, 2521 List the prime factors of 1731949. 1731949 List the prime factors of 7908552. 2, 3, 109841 List the prime factors of 27793044. 2, 3, 85781 What are the prime factors of 2444383? 2444383 List the prime factors of 2305660. 2, 5, 7, 43, 383 List the prime factors of 529110. 2, 3, 5, 5879 What are the prime factors of 2600168? 2, 325021 What are the prime factors of 2742990? 2, 3, 5, 91433 What are the prime factors of 223887? 3, 37, 2017 What are the prime factors of 349524? 2, 3, 7, 19, 73 What are the prime factors of 188410? 2, 5, 83, 227 List the prime factors of 201888. 2, 3, 701 List the prime factors of 418845. 3, 5, 7, 3989 List the prime factors of 12511350. 2, 3, 5, 27803 What are the prime factors of 199978? 2, 99989 What are the prime factors of 1383935? 5, 7, 39541 What are the prime factors of 134507? 134507 What are the prime factors of 795418? 2, 13, 30593 What are the prime factors of 726836? 2, 11, 16519 List the prime factors of 433387. 47, 9221 List the prime factors of 2363984. 2, 7, 21107 What are the prime factors of 63814? 2, 31907 List the prime factors of 1405146. 2, 3, 234191 What are the prime factors of 21905795? 5, 4381159 What are the prime factors of 74520? 2, 3, 5, 23 What are the prime factors of 641692? 2, 160423 List the prime factors of 642939. 3, 11, 19483 What are the prime factors of 748410? 2, 3, 5, 13, 19, 101 List the prime factors of 94365. 3, 5, 233 List the prime factors of 7379593. 13, 567661 What are the prime factors of 3518534? 2, 19, 92593 What are the prime factors of 509320? 2, 5, 7, 17, 107 List the prime factors of 124429. 124429 List the prime factors of 1131069. 3, 181, 2083 List the prime factors of 3481557. 3, 1160519 List the prime factors of 52315. 5, 10463 What are the prime factors of 285462? 2, 3, 15859 List the prime factors of 2034225. 3, 5, 9041 What are the prime factors of 7740959? 233, 33223 What are the prime factors of 5258340? 2, 3, 5, 131, 223 What are the prime factors of 1607675? 5, 107, 601 List the prime factors of 14554478. 2, 61, 119299 What are the prime factors of 501999? 3, 19, 8807 What are the prime factors of 26317? 26317 List the prime factors of 10098821. 10098821 List the prime factors of 29161. 11, 241 What are the prime factors of 452461? 53, 8537 List the prime factors of 7998563. 19, 420977 What are the prime factors of 87122? 2, 7, 127 What are the prime factors of 2068445? 5, 413689 What are the prime factors of 187862? 2, 29, 41, 79 List the prime factors of 9431431. 9431431 List the prime factors of 278586. 2, 3, 7, 11, 67 What are the prime factors of 10768391? 61, 176531 What are the prime factors of 64693? 64693 List the prime factors of 4888321. 4888321 List the prime factors of 224743. 224743 List the prime factors of 685880. 2, 5, 13, 1319 What are the prime factors of 3437577? 3, 11, 13, 2671 What are the prime factors of 597940? 2, 5, 7, 4271 What are the prime factors of 835233? 3, 7, 31, 1283 List the prime factors of 851482. 2, 271, 1571 What are the prime factors of 921314? 2, 460657 List the prime factors of 21939928. 2, 17, 161323 What are the prime factors of 12290584? 2, 1163, 1321 List the prime factors of 315566. 2, 83, 1901 List the prime factors of 2945344. 2, 46021 List the prime factors of 292112. 2, 18257 What are the prime factors of 414886? 2, 207443 List the prime factors of 130236. 2, 3, 10853 What are the prime factors of 15766413? 3, 13, 404267 What are the prime factors of 271775? 5, 7, 1553 List the prime factors of 3141064. 2, 23, 43, 397 What are the prime factors of 207098? 2, 103549 List the prime factors of 8593832. 2, 13, 82633 What are the prime factors of 205644? 2, 3, 17137 What are the prime factors of 4273024? 2, 7, 19, 251 What are the prime factors of 140228? 2, 11, 3187 What are the prime factors of 91727? 29, 3163 What are the prime factors of 4273568? 2, 13, 10273 List the prime factors of 2543155. 5, 29, 17539 What are the prime factors of 17931969? 3, 11, 173, 349 What are the prime factors of 872525? 5, 17, 2053 What are the prime factors of 203843? 203843 What are the prime factors of 2579943? 3, 859981 What are the prime factors of 650596? 2, 162649 What are the prime factors of 12557190? 2, 3, 5, 641, 653 List the prime factors of 10826982. 2, 3, 113, 5323 What are the prime factors of 8143248?
{ "pile_set_name": "DM Mathematics" }
he highest common divisor of 18 and 3? 3 What is the highest common factor of 732 and 108? 12 What is the greatest common divisor of 10 and 3505? 5 What is the greatest common divisor of 1 and 195? 1 What is the greatest common factor of 40 and 280? 40 What is the highest common divisor of 438 and 72? 6 What is the highest common factor of 74 and 2? 2 What is the highest common factor of 27 and 117? 9 Calculate the highest common factor of 640 and 10. 10 Calculate the greatest common divisor of 56 and 1680. 56 Calculate the greatest common factor of 2268 and 72. 36 Calculate the greatest common divisor of 160 and 5. 5 Calculate the highest common divisor of 91 and 35. 7 Calculate the highest common factor of 150 and 9400. 50 Calculate the highest common factor of 10912 and 160. 32 What is the highest common factor of 7 and 35? 7 Calculate the highest common divisor of 12 and 972. 12 Calculate the greatest common divisor of 2028 and 60. 12 Calculate the highest common factor of 98 and 574. 14 What is the greatest common divisor of 20961 and 1644? 411 What is the greatest common divisor of 25 and 3075? 25 What is the highest common factor of 259 and 74? 37 What is the greatest common factor of 15 and 438? 3 What is the greatest common factor of 4 and 236? 4 What is the greatest common factor of 575 and 92? 23 What is the highest common divisor of 135 and 12015? 135 What is the highest common divisor of 56 and 3801? 7 Calculate the greatest common divisor of 803 and 146. 73 Calculate the highest common factor of 4590 and 225. 45 What is the greatest common factor of 34 and 12? 2 What is the highest common divisor of 46 and 1127? 23 What is the greatest common factor of 33 and 429? 33 What is the highest common divisor of 1155 and 198? 33 What is the highest common factor of 385 and 30? 5 What is the highest common divisor of 13 and 793? 13 Calculate the greatest common factor of 566 and 14999. 283 Calculate the greatest common factor of 30972 and 174. 174 What is the greatest common factor of 7 and 10101? 7 Calculate the greatest common divisor of 825 and 225. 75 Calculate the greatest common factor of 918 and 68. 34 What is the highest common divisor of 10 and 2570? 10 Calculate the highest common factor of 5 and 2. 1 Calculate the greatest common divisor of 49 and 203. 7 What is the highest common divisor of 2592 and 396? 36 Calculate the highest common factor of 12 and 9. 3 Calculate the highest common factor of 96 and 1968. 48 What is the greatest common divisor of 96 and 4704? 96 Calculate the highest common factor of 60826 and 68. 34 What is the highest common divisor of 96 and 30? 6 What is the highest common factor of 5770 and 10? 10 Calculate the greatest common factor of 3 and 54. 3 What is the greatest common factor of 791 and 113? 113 Calculate the greatest common factor of 1566 and 493. 29 Calculate the highest common factor of 90 and 225. 45 What is the highest common factor of 6798 and 22? 22 Calculate the highest common divisor of 261 and 21054. 87 What is the greatest common factor of 2508 and 855? 57 What is the greatest common factor of 99 and 44? 11 Calculate the greatest common divisor of 5999 and 91. 7 What is the highest common divisor of 1533 and 35? 7 What is the highest common divisor of 18 and 41868? 18 Calculate the greatest common divisor of 173 and 4325. 173 Calculate the greatest common divisor of 148 and 7844. 148 Calculate the greatest common factor of 2044 and 140. 28 Calculate the greatest common factor of 7424 and 348. 116 What is the highest common divisor of 60 and 40? 20 Calculate the greatest common divisor of 16 and 48. 16 What is the highest common divisor of 138 and 299? 23 Calculate the greatest common divisor of 414 and 18. 18 What is the highest common divisor of 9119 and 22? 11 What is the greatest common divisor of 658 and 126? 14 Calculate the greatest common divisor of 19 and 19. 19 What is the highest common divisor of 126 and 54? 18 What is the greatest common divisor of 63791 and 91? 91 What is the greatest common factor of 8 and 652? 4 What is the highest common factor of 400 and 752? 16 What is the greatest common factor of 75199 and 139? 139 Calculate the greatest common factor of 5 and 3605. 5 What is the greatest common factor of 247 and 152? 19 Calculate the greatest common divisor of 72 and 1692. 36 What is the greatest common divisor of 99 and 396? 99 What is the greatest common factor of 514 and 38293? 257 Calculate the greatest common divisor of 246 and 18. 6 Calculate the greatest common factor of 1725 and 25. 25 Calculate the highest common factor of 51 and 238. 17 Calculate the greatest common factor of 495 and 11. 11 Calculate the highest common divisor of 34 and 2. 2 Calculate the greatest common divisor of 165 and 60. 15 Calculate the greatest common factor of 18 and 153. 9 What is the highest common factor of 374 and 22? 22 Calculate the highest common divisor of 726 and 44. 22 What is the highest common factor of 435 and 150? 15 What is the greatest common divisor of 1614 and 6? 6 What is the highest common factor of 27677 and 52? 13 Calculate the highest common divisor of 52 and 91. 13 Calculate the highest common factor of 16 and 54. 2 What is the greatest common divisor of 260 and 70? 10 Calculate the greatest common factor of 29 and 464. 29 What is the greatest common divisor of 29 and 2407? 29 What is the highest common factor of 1102 and 38? 38 Calculate the highest common factor of 280 and 60. 20 What is the highest common divisor of 216 and 243? 27 Calculate the highest common factor of 1127 and 92. 23 Calculate the greatest common divisor of 23 and 137. 1 Calculate the greatest common divisor of 207 and 3151. 23 Calculate the highest common divisor of 185 and 296. 37 What is the greatest common divisor of 2151 and 54? 9 What is the highest common factor of 289 and 391? 17 What is the greatest common factor of 6188 and 26? 26 Calculate the greatest common factor of 100 and 160. 20 Calculate the greatest common divisor of 105 and 168. 21 What is the highest common divisor of 7545 and 15? 15 Calculate the highest common factor of 590 and 10. 10 What is the highest common factor of 51 and 714? 51 What is the greatest common divisor of 44 and 55? 11 What is the greatest common factor of 80 and 20? 20 Calculate the highest common divisor of 1649 and 291. 97 What is the highest common divisor of 69 and 368? 23 What is the highest common factor of 3530 and 10? 10 What is the greatest common factor of 756 and 72? 36 Calculate the greatest common factor of 27 and 1197. 9 Calculate the greatest common divisor of 510 and 6. 6 What is the greatest common factor of 462 and 385? 77 What is the greatest common factor of 1030 and 5974? 206 What is the highest common factor of 3048 and 24? 24 Calculate the greatest common factor of 15 and 80. 5 Calculate the greatest common factor of 4697 and 77. 77 What is the highest common divisor of 106 and 1219? 53 Calculate the highest common factor of 26 and 325. 13 What is the highest common divisor of 10 and 1210? 10 What is the highest common factor of 21 and 623? 7 What is the highest common factor of 1890 and 135? 135 Calculate the highest common divisor of 66 and 198. 66 Calculate the highest common factor of 41 and 328. 41 What is the highest common divisor of 72 and 64? 8 What is the highest common divisor of 147 and 6321? 147 Calculate the greatest common factor of 180 and 264. 12 Calculate the greatest common divisor of 2017 and 2. 1 What is the highest common factor of 39 and 455? 13 Calculate the greatest common factor of 24 and 108. 12 What is the highest common divisor of 26 and 502? 2 Calculate the greatest common factor of 176 and 160. 16 Calculate the greatest common divisor of 17 and 4131. 17 Calculate the greatest common divisor of 9657 and 348. 87 What is the greatest common divisor of 34 and 153? 17 What is the highest common factor of 26 and 1248? 26 Calculate the highest common factor of 100 and 5200. 100 Calculate the highest common factor of 64 and 1024. 64 What is the highest common divisor of 344 and 9202? 86 Calculate the highest common factor of 712 and 445. 89 Calculate the highest common divisor of 10 and 111.
{ "pile_set_name": "DM Mathematics" }
s than -1059.25? 13117524.75 What is 3.2253 plus -35.690878? -32.465578 What is -169 take away 9.8662473001? -178.8662473001 -0.5 + 3440.56381597602 3440.06381597602 Subtract 0.1199 from -1302.78022092. -1302.90012092 What is the difference between 8 and 66591922903? 66591922895 Calculate -0.767717730844 - 31. -31.767717730844 What is the distance between 0.26145896583 and -1? 1.26145896583 Calculate -0.04 + 19083242.1926. 19083242.1526 Calculate 0.09756 + -0.45531009. -0.35775009 -0.04687285 - 73100 -73100.04687285 What is 0.187686088 plus 0.1427? 0.330386088 What is -1611832787 + -1? -1611832788 192268.0371 + -2956 189312.0371 What is 309127 - -279.9716? 309406.9716 Subtract 5355817 from 2857. -5352960 What is -970881.5 plus 93.95? -970787.55 Add together 32071439832 and -5025. 32071434807 What is -7440047044 - -0.024? -7440047043.976 Add together -2251337 and 1721060. -530277 Work out -0.22 + -2613520.0363. -2613520.2563 What is -37690563797 take away -12.6? -37690563784.4 What is -6.4940412393 less than 38.4? 44.8940412393 Add together -218372766532 and 0.5. -218372766531.5 -0.5+-719228870009 -719228870009.5 What is -0.4 less than 22633260025249? 22633260025249.4 Add 31731377469066 and 2. 31731377469068 46368281 + -13318 46354963 Sum -52054022314 and 728. -52054021586 What is 2665 + 9101543.6232? 9104208.6232 What is 12072878033.6 take away 0.1? 12072878033.5 What is the distance between -18.0638 and 245527849? 245527867.0638 What is 4 minus -4.5690864285? 8.5690864285 What is 0.5 take away -481470426711? 481470426711.5 Work out -123 - 77299679. -77299802 Put together -9516109.3378 and -681. -9516790.3378 What is 0 plus -17550108.51? -17550108.51 Total of -248.94207 and 9013. 8764.05793 2+-18914808984 -18914808982 Sum -7563548293 and -0.4. -7563548293.4 What is -5.087539876534 + -3? -8.087539876534 Calculate -1 - -87970368421. 87970368420 Work out -29.590325 - 7033. -7062.590325 Subtract -12.92 from 348.1824. 361.1024 Calculate -0.3 - -9440373537462. 9440373537461.7 5319346166454 - -0.04 5319346166454.04 Add together -0.246 and 0.01902486. -0.22697514 9626.2770306+-1571 8055.2770306 What is 3.984663 + -2.2622? 1.722463 -7118 - -354272.2016 347154.2016 What is the distance between 20450414679 and -0.13? 20450414679.13 Sum -5.2 and -589640607067. -589640607072.2 What is -3622678629 minus -2? -3622678627 Work out 36298 + -48234090. -48197792 Add 5 and 23854387816987. 23854387816992 Add together 2.454 and -4436189179. -4436189176.546 Add 0.057 and -0.119259139. -0.062259139 What is -545051669052.17 plus 0.5? -545051669051.67 Calculate -1.2910897511 + 2.1. 0.8089102489 What is -0.1 + -1714.71740574? -1714.81740574 What is 8700 - 10974.0151? -2274.0151 What is -738193 take away 972436.02? -1710629.02 Work out 1.45865 - 867.84644. -866.38779 What is -205060930506 less than 0.5? 205060930506.5 What is 1417603565467 less than -0.1? -1417603565467.1 Calculate -7404571389 + 1. -7404571388 Work out -3006344 - -43238. -2963106 What is -0.1 minus 28351397749.9342? -28351397750.0342 0.20973622036 + -0.632 -0.42226377964 16723946.54 + 1051 16724997.54 Work out 4 + -60987179017. -60987179013 Subtract -380272 from -9372281. -8992009 0.24+-178037.9307 -178037.6907 What is 509885 minus 1913823.09? -1403938.09 Subtract 383 from 92439446796. 92439446413 What is -39.329 plus 1495017? 1494977.671 Calculate -3981 - 180302594. -180306575 Put together 0.84563211 and 0.020305. 0.86593711 -360.62412+-110.4 -471.02412 What is 0.4 take away 3.8280543279? -3.4280543279 What is -198446 + -69285524.3? -69483970.3 -0.0256260891 - 8344 -8344.0256260891 Add together 0.06 and -1034110308776. -1034110308775.94 Work out -0.2 + -44056245436.707. -44056245436.907 0.6 + 1226922354663 1226922354663.6 Sum 2125024571 and 119. 2125024690 What is 1622205 + 19039938? 20662143 Work out -3.2620699871 + -0.06. -3.3220699871 -342278 - -1.108517 -342276.891483 What is 16.8 plus -29313213637? -29313213620.2 What is the difference between -7037 and 445640401? 445647438 What is -116 minus 2299826601? -2299826717 Subtract -193450294 from -13344.3. 193436949.7 -126126363440+0.5 -126126363439.5 What is 312 take away 29102482.176? -29102170.176 Work out 0.204 + 12698.94362527. 12699.14762527 Add 565100647 and 0.277. 565100647.277 59512959 - -0.0053 59512959.0053 Calculate -294.33095 - 5657395. -5657689.33095 What is the difference between -0.5 and 1363224.01396? 1363224.51396 What is the distance between 0.5 and -282699518450? 282699518450.5 Sum 6768.2577 and -0.0086. 6768.2491 203064701 + -98.4 203064602.6 Work out -0.6501 + 150861926. 150861925.3499 467633828+-0.00507 467633827.99493 Subtract 0.566 from -25558635336. -25558635336.566 Calculate -0.3 + -65275318979. -65275318979.3 Add together 4979421758140 and 3. 4979421758143 Work out -0.6 - -395736128011. 395736128010.4 What is the difference between 203 and -2642829783? 2642829986 What is -136922621 minus 7740? -136930361 What is the distance between 8 and -8604694.4718443? 8604702.4718443 What is -38954328 take away -0.05344? -38954327.94656 Subtract 4 from -5860.579280412. -5864.579280412 Work out -1784 + 20934847.819. 20933063.819 What is the difference between -172.03779 and 332985? 333157.03779 What is -2241 take away -7.681488? -2233.318512 What is -0.4908967628 plus -2.5? -2.9908967628 Work out 88409139 - 19.35. 88409119.65 What is -7257837 take away 1074900? -8332737 Work out 143.62 - 1298524572. -1298524428.38 Subtract 128660.2 from 1237.7152. -127422.4848 What is -6 plus -37579172729.3? -37579172735.3 Work out -4.9 + 58227780194. 58227780189.1 What is 3926 less than -43506939975? -43506943901 Add together 8769 and 1539510.66. 1548279.66 What is 2.10263 - -6950022? 6950024.10263 0 - 14.83091995237 -14.83091995237 Sum 206914731 and 1970. 206916701 What is 124208633.1 less than 0.4? -124208632.7 What is 4491 + -15194134.7? -15189643.7 -0.2+1011989729768 1011989729767.8 What is -52.83207647407 plus -126? -178.83207647407 -83 - -6599729.09055 6599646.09055 Add -42844150393.6 and -0.07. -42844150393.67 Add 117158 and 12958129. 13075287 Total of 25.2607 and 98129246. 98129271.2607 What is 13001 - -4498548? 4511549 What is the distance between -6384231374 and -35586? 6384195788 -0.4+-624632495584 -624632495584.4 What is -0.1 less than -224553223.899? -224553223.799 What is -64.431743 minus -0.1294? -64.302343 55.43 - 68997396.26 -68997340.83 Put together 452759799 and 271.99. 452760070.99 What is the distance between 970687.95 and -0.20408? 970688.15408 Add together 219 and -4862135354. -4862135135 Calculate 0 - 179968939318. -179968939318 Work out -7915710752 - -4455. -7915706297 Total of 65059620028 and -3. 65059620025 -18510826830771 + 3 -18510826830768 Calculate 49500584682.3 - 20.8. 49500584661.5 Put together -18874.71643 and 51. -18823.71643 What is -4620959.0036 take away -8? -4620951.0036 -151308721+-13964 -151322685 5134775303540 - 0.08 5134775303539.92 Total of -214989 and -41011584. -41226573 What is 11.4 less than -61064789479? -61064789490.4 Work out 0.11 - -0.11860205119. 0.22860205119 -173377579102053 - 0.2 -173377579102053.2 What is 3 + -0.15408190296? 2.84591809704 Put together -7.9635067749303 and 0.05. -7.9135067749303 Calculate -1497065 - 1128905. -2625970 -0.0281645 - 240.94765 -240.9758145 Total of -12158174 and 7518. -12150656 Calculate 460710.150799 + -0.4. 460709.750799 What is 72.682 less than 338.9616? 266.2796 What is 0.0648 - 84225468293? -84225468292.9352 Subtract 39263320591 from -13. -39263320604 Total of -31591025 and 2223.34. -31588801.66 Work out 0.055432 - 570092.85. -570092.794568 Add -0.03 and -123193086.08994. -123193086.11994 What is 83 + 2200.716300808? 2283.716300808 Total of -106735.4 and 1719. -105016.4 Calculate -46030423.12136 - -5. -46030418.12136 Total of -0.6 and -8031861.296. -8031861.896 What is -8896590579 take away -55? -8896590524 -2.8709+164481584 164481581.1291 What is -20 less than 134071393.86808? 134071413.86808 Put together -755875182.89666 and -9. -755875191.89666 Total of -4.4 and 1192448.75978. 1192444.35978 Calculate 3230 - -2012.6608. 5242.6608 Total of 10.44 and 7.6117181719. 18.0517181719 What is 22761066 plus -14015277? 8745789 What is the difference between 66276020.6 an
{ "pile_set_name": "DM Mathematics" }
2. -132*z**2 Expand (0*w**3 - w**3 - w**3)*(566*w + 449*w - 1227*w) + (1 - 2 + 2)*(9*w**4 + 2*w**4 + 13*w**4). 448*w**4 Expand (-547 - 807 + 354)*(-h + 3*h - h) + h - 5*h + 5*h. -999*h Expand (975*q**3 - 175873*q + 175873*q)*(-q - 2*q + 4*q). 975*q**4 Expand (-8 + 74 + 91)*(-2 + 0 - 1)*(-5*c - 2*c - 40*c). 22137*c Expand (-1 + 3 + 0)*(-1 + 1 - 2*u**2) + 122660 - 122660 - 534*u**2 - 5*u**2 + u**2 + 2*u**2 + 2 - 2 - u**2. -541*u**2 Expand (-1 - 2*o**4 + 0*o**3 + 0*o**3)*((-7*o + 11*o - 18*o)*(3 - 3 - 1) + (16 - 6*o - 16)*(0 + 4 - 3) - 4*o + 0*o + 0*o). -8*o**5 - 4*o Expand (-1 + 2 + 2)*(47*m**2 + 12 + 4 - m**3 - 8*m - 18). -3*m**3 + 141*m**2 - 24*m - 6 Expand (15852 + 347*z**2 - 15852)*(-10*z - 2*z + 0*z). -4164*z**3 Expand (-4 + 1 + 1)*((1 + 0 + 0)*(1 - 5 + 3) - 1 + 4 - 1 + 8 + 1 - 2 + (1 - 1 - 1)*(9 - 6 + 13))*(g - 4*g - g). -64*g Expand (-61 + 762 + 767 + 1127)*(13*r + 33 - 33). 33735*r Expand (v - 7*v + v)*(v + 4*v - 3*v + (-2*v + 1 - 1)*(-131 + 1 - 42)). -1730*v**2 Expand (10 + 20 + 3)*(1 - 4 + 1)*(0*z + 2*z - 5*z)*(6*z - 56*z - 23*z). -14454*z**2 Expand (2*a - a + 3*a + (-4 + 6 - 4)*(0*a + 4*a + 3*a))*(-3*a - 5*a + 7*a)*(1 + 0 - 2)*(3 - 3 - 2*a). 20*a**3 Expand 2 + 2*p - 2 - 2*p - 4*p + 5*p + (-4 + 1 + 2)*(3*p + p - 2*p) + 2*p + 0*p - 3*p + (-p - 3 + 3)*(-1 + 2 - 2) - 33*p - 28*p + 67*p. 5*p Expand 80 - 13*t - 38 - 71 + (-2 + 2 - 1)*(-2*t + 3 - 3) + (t - 4*t + 4*t)*(4 - 4 + 3) + 2*t - 4 + 4. -6*t - 29 Expand (2*c**2 - 3 + 3 - 2)*(-2387 + 4779 + 351*c - 2392 - 963*c). -1224*c**3 + 1224*c Expand (4 - 3 + 1 + t**3)*(2*t**2 + 339*t**2 - 44*t**2). 297*t**5 + 594*t**2 Expand (-55*c**3 + 69*c**3 - 13*c**3 + 50)*(-6*c**2 + 15*c - 15*c). -6*c**5 - 300*c**2 Expand 100810*i**5 - 100811*i**5 + 2 - 6 - 5*i**4 - i**5 - i**5 + 0*i**5 + (4*i + i - i)*(-i**4 + 0*i**4 - i**4) - 2*i**5 + 2 - 2. -13*i**5 - 5*i**4 - 4 Expand (1442*g**3 + 1094*g**3 - 2015*g**3)*(g + 2*g - 4*g) - 3*g**4 - g**4 - g**4. -526*g**4 Expand 4*u**4 - 2*u**4 + 3*u**4 + (-3 - u**3 + 3)*(-2*u - 3*u + 4*u) - 3*u**3 + 13*u**4 + 3*u**3 + 0*u + u**4 + 0*u - 2*u**3. 20*u**4 - 2*u**3 Expand (2 + 5 + 0)*(-5 + 5 - 2*g**2) + 478*g - 475*g - g**2 + 5 - g**2. -16*g**2 + 3*g + 5 Expand (0*n**2 - 2*n**2 + 5*n**2)*(2*n - 3*n + 3*n) + 0*n**3 + 5*n**3 + 0*n**3 + 1468 + 2*n**2 - 8*n**2 - 1468 - 36*n**3. -25*n**3 - 6*n**2 Expand (-63*d + 373*d + 484*d)*(0*d + d + 0*d). 794*d**2 Expand (-16*r**3 + 10*r**3 - 7*r**3)*(-12*r - 4*r + 6*r + (1 - 1 + r)*(15 + 10 - 5 + 30)). -520*r**4 Expand (-x**4 - 2*x**5 + x**4)*(-19 + 85 + 25) - 3*x**4 - 3*x**5 + 3*x**4. -185*x**5 Expand (h**2 + h - h)*(-5 - 4*h**3 + 5)*(-34 - 136 - 100). 1080*h**5 Expand (182 + 67 - 94 + 155)*(3 + 2 - 4)*(4*y**3 - 2*y**3 + 6*y**3). 2480*y**3 Expand (9*j**3 + 8*j**3 - 11*j**3)*(3*j - 5*j + j)*(7*j - 23*j - 36*j) + 4*j**5 - 2*j**5 - j**5. 313*j**5 Expand -3*m**5 + 0*m**5 + 0*m**5 + (8*m**3 - 8*m**3 - 2*m**4)*(2*m - 2*m + m) - 2*m**5 - 3*m**5 + m**5 + (3*m - m + 0*m)*(-2*m**4 - m**4 + 4*m**4). -7*m**5 Expand k - 3*k**2 - 5 + 5 + (0*k - 3*k + 4*k)*(5043*k + 1728*k - 831*k + 1). 5937*k**2 + 2*k Expand 28 - 28 - 4*x + (11 - 23 - 13 + 4 - 5 + 2 - 1 + 0 + 0 + (-4 + 3 - 1)*(-5 + 3 + 0))*(2*x - 1 - 2 - x). -25*x + 63 Expand (2*u + 3 - 3)*(-3*u + 3*u + u**3) + u**4 - 2*u**4 + 2*u**4 + (4*u**4 - 30*u**4 + 52*u**4)*(-10 - 20 - 18). -1245*u**4 Expand (2 - 2*p**2 - 2)*(247 - 93 - 93 - 84). 46*p**2 Expand (5*c**2 - 4*c**2 - 2*c**2 - 22*c)*((-25 + 6 - 52)*(-2 - 1 + 1) - 1 - 1 + 3). -143*c**2 - 3146*c Expand (185*n - 185*n + 10*n**5 + (-2*n**2 - n**3 + 2*n**2)*(-3*n**2 + 2*n - 2*n))*(-3 - 1 + 2)*(-3 + 11 - 4). -104*n**5 Expand (-3 + 5*m + 3)*(-72 + 98 + 70)*(2 - 1 + 1 - 3 + 3 - 2 + (0 + 0 - 1)*(2 - 3 + 2)). -480*m Expand 18*j**2 + 5*j**2 + 14*j**2 + (-7*j + 11*j + 3*j)*(3*j - 3 + 3). 58*j**2 Expand -2*k**3 - 4669 - 91*k + 4668 + 479*k + 9*k**2 + (0*k - 5*k + 3*k)*(0 + 0 - 2*k**2). 2*k**3 + 9*k**2 + 388*k - 1 Expand 2*r**2 + 1191*r**4 - 2*r**2 - 3691*r**4 + 2*r**4 - 2*r**4 + r**4 - r**4 - r**4 + 0*r**4 + (-r + r + 2*r)*(-r**3 + 0*r**3 + 0*r**3). -2503*r**4 Expand (20*f**2 - 20*f**2 + 11*f**4)*(3*f + 2*f - 3*f) - 221*f**5 + 170*f - 170*f. -199*f**5 Expand -4 + 291*t + 127*t + 311*t + 323*t + (-t + 1 - 1)*(-1 + 1 - 2). 1054*t - 4 Expand 9*l**4 + l**4 - l**4 + (-2*l + 3 - 3)*(-5*l**3 + l**3 + 5*l**3)*(13 - 4 + 9). -27*l**4 Expand (11486 - 15130 + 11192)*(-1 - 5 + 4)*(-4*t**4 + 2*t**4 + 0*t**4). 30192*t**4 Expand (-4 - 8 + 10)*(8*r**4 - 8*r**4 - r**5) + 5*r**5 + 0*r**5 - 4*r**5 + (r**5 - 2 + 2)*(-3 + 2 + 4) + 2*r**5 + 3*r**5 - 6*r**5. 5*r**5 Expand (16 + 2733078*f + 79 - 2733065*f)*(-2*f + 1 - 1). -26*f**2 - 190*f Expand o**4 + 4*o - 4*o + (-3 + o + 3)*(o - 2*o**3 - o) + (6*o - 5*o + 9*o + 5*o + 25*o - o + (0 - 4 + 2)*(4*o - 2*o - o) - 2 + 2 + o)*(o**3 - o**3 - 2*o**3). -77*o**4 Expand (-11*y + 6*y - 5*y)*(203 + 413 - 869). 2530*y Expand (2*t - 4*t + 4*t + (-2*t - 2 + 2)*(-1 - 1 - 1) - 3*t - t + 5*t - 3*t - 11*t - t)*(-2 + 4 - 2*t + 0). 12*t**2 - 12*t Expand (-2*x**3 + 2 - 2)*(x + 0*x - 3*x) + (-4*x - 4*x + 3*x**2 - x**2)*(-x**2 - 9 + 9) + (4*x - 9 + 9)*(4*x**2 - 4*x**2 - 3*x**3). -10*x**4 + 8*x**3 Expand (m**3 + 3*m**3 - 2*m**3 + 2*m**2 + 2*m)*(m + m - 8*m)*(1 + 0 - 5) - 6*m**4 - 2*m**4 - 4*m**4. 36*m**4 + 48*m**3 + 48*m**2 Expand (6 - 12*a**3 - 6)*(0*a - 3*a + a + (4*a + 2*a - 4*a)*(0 + 1 + 1) - 1 + 4*a + 1 - 5*a + 2*a + a + (10 - 4 + 1)*(3*a + 0 + 0))*(1 + 0 + 0). -300*a**4 Expand (-87*h - 30*h - 51*h)*(-h + 6*h - 2*h)*(-2*h**2 + 4*h - 4*h + 2). 1008*h**4 - 1008*h**2 Expand -15172*t + 1361*t + 4452*t + 0*t + t - 3*t + (-2*t + 3*t + t)*(-1 - 3 + 3) + t - 2*t - t. -9365*t Expand 278 - 250 + 4*t - 2*t + (5 - 2 + 2)*(-3*t - 3*t + 0*t) + 2*t - 8*t + 3*t. -31*t + 28 Expand (-94 - 145 + 55 - 58)*(-4*t + t + t)*(-2 + 6 + 10). 6776*t Expand -8*k**2 + 0*k**2 + 24*k**2 + (200 - 200 - 3*k)*(3*k + 0*k + 0*k). 7*k**2 Expand 7*a + 8*a - 5*a + (-1 + 5 - 2)*(-5*a + 6*a - 2*a) + 3*a - a - 4*a + 4*a - 2*a + 0*a + 7*a - 2*a + 12*a + 37*a - 17*a - 15*a. 30*a Expand (-2*w + w + 0*w)*(-3 + 4 - 2) + 148*w - 319*w + 17 + 174*w. 4*w + 17 Expand -3*t**3 + t**3 + 0*t**3 + (-587 - 21*t + 587)*(3*t**2 - 4*t**2 + 0*t**2) + t**3 - t + t + (-10*t**3 + 41*t**3 + 16*t**3)*(1 + 1 + 0). 114*t**3 Expand (0*v - 2*v - 7*v - 2*v + 0*v + 0*v + (-v + 1 - 1)*(1 + 1 - 3) - 2*v - 3 + 3 + 4*v + 0*v - 3*v)*(-46 - 50 + 292 + 51 + 122). -4059*v Expand (-13950 + 2621*d + 13950)*(2 - 2 - 1). -2621*d Expand (o**4 + 4*o**2 - 4*o**2)*(2 + 4 - 5) - 22*o + 1 + 10*o - 3 + 55*o**4 + 687*o**4. 743*o**4 - 12*o - 2 Expand 183*v**2 + 41*v - 3 - 105*v**2 - 77*v**2 + 1 + 2*v**2 - 1 + (0*v**2 + 3*v**2 - v**2)*(2 + 0 - 4) - 1 - v**2 + 1. -2*v**2 + 41*v - 3 Expand -20*j**4 - 15*j**5 + 20*j**4 + (25*j**3 - 15*j**3 + 26*j**3)*(-2 + 2 - 2*j**2). -87*j**5 Expand 2*d**4 - d**4 + 4*d**4 + (10*d - 10*d - 12*d**2)*(26*d - 26*d - 27*d**2). 329*d**4 Expand (-4 + 6 + 0)*(-349*k - 347*k + 565*k). -262*k Expand (r + 0*r - 2*r)*(-4*r + 1 - 1) + 7 - 4 - 49*r**2 - 2 + ((-1 - 3 + 6)*(-4*r - r + 3*r) + 4*r + 4*r - 5*r)*(-3 - 8*r + 3). -37*r**2 + 1 Expand (-1 - 3 + 0)*(12*q + 29*q - 3*q)*(24 + 18 + 11). -8056*q Expand (0*p + 0*p + p + 2*p**2)*(851*p + 1715*p + 411*p)*(p + 0*p + p). 11908*p**4 + 5954*p**3 Expand 8210*y**4 + 251619*y - 251619*y + (2*y**3 - 3*y**3 + 3*y**3)*(-4*y - 4*y + 4*y). 8202*y**4 Expand (-4 - 2*i - 2 + 3)*(-8 + 10 - 14)*(1 + 9 + 0). 240*i + 360 Expand (6 - 3 - 2)*(-3*i**2 - 2*i**2 + 3*i**2 + (-2 + 3 + 2)*(-2*i**2 + 6*i**2 - 6*i**2) - 8 + 8 + 12*i**2). 4*i**2 Expand s + 4*s + s - 10*s - 6*s + 9*s + (6 - 3 - 2)*(-52*s + 101 - 101). -53*s Expand 20*v - 4*v - 14*v - 205*v**5 + (-15 + 7 + 45)*(1 - 5 + 2)*(-2*v**5 - 2*v**5 + 3*v**5). -131*v**5 + 2*v Expand (75*z**4 + 38*z**4 + 34*z**4)*(1 - 6 + 10 + 9 + 4). 2646*z**4 Expand (-1 + 21*c - 45*c + 25*c)*(-196 + 690 + 263). 757*c - 757 Expand (1 - 1 + 2*j)*(6 + 5 + 2)*(4 - 3 + 1)*(-473 + 1707 + 310). 80288*j Expand (38 - 26 - 37)*(0 - 2*h + 0) + (-5 - h + 5)*(2 + 2 - 2). 48*h Expand (-7*w + 4 - 4)*((-2*w - 3*w + w)*(-3 + 0 + 2) + 3 - 3 - 2*w + 6*w + 0*w - 4*w + (-w + 2 - 2)*(-5 + 4 + 4)). -7*w**2 Expand (124*r**2 + 187 - 187)*(-1 + 1 + 13*r - 15*r). -248*r**3 Expand (7*v + 247*v - 152*v + 266*v)*(1 - 311*v**2 - 3 - 18*v**3 + 308*v**2). -6624*v**4 - 1104*v**3 - 736*v Expand (-218*j -
{ "pile_set_name": "DM Mathematics" }
420) + sqrt(2420) + (sqrt(2420) - sqrt(2420)*4))/((-1*sqrt(36))/sqrt(9)))**2. 605 Simplify (5*(-5 + sqrt(200) + -3*sqrt(200) + 2)*5)**2. 75000*sqrt(2) + 505625 Simplify (-3 + sqrt(44)*2)**2 + (sqrt(275) + -3*sqrt(275))**2 + -5. -24*sqrt(11) + 1280 Simplify (-5*(-1*sqrt(405)*1)/(((sqrt(18) - sqrt(162))*-2 - sqrt(18))/sqrt(2)))**2. 125 Simplify ((-2*sqrt(187)*-2)/sqrt(11))**2 + (4*sqrt(68)/sqrt(4) - ((sqrt(17) + 1)*1)**2) + 2. 2*sqrt(17) + 256 Simplify 1*((sqrt(96) - -2*sqrt(96))/sqrt(8) + sqrt(72)/sqrt(6) + sqrt(12) + 3)**2. 60*sqrt(3) + 309 Simplify 1*(sqrt(1280) + -2*((sqrt(180))**2 + sqrt(5))). -360 + 14*sqrt(5) Simplify 3 + 1 + (-6*(-1 + sqrt(1900)) + 5)*-1. -7 + 60*sqrt(19) Simplify (sqrt(480)*2)/((sqrt(6) + (sqrt(6) - (-1*sqrt(6) + sqrt(6))))*4). sqrt(5) Simplify ((2*sqrt(216))/sqrt(8)*6)/(sqrt(225) + (sqrt(225) - 1*sqrt(225)) + (sqrt(576)*-2 - sqrt(576)) + sqrt(576)) + -5. -5 - 12*sqrt(3)/11 Simplify ((sqrt(24)*2*2 - (sqrt(24) - (sqrt(24) + 1*sqrt(24)))*-2)/(1*sqrt(432)*-1))**2. 2/9 Simplify (-1*sqrt(891))**2*-5 + 4 + -4. -4455 Simplify -5*(3 + 5 + 4 + 1 + sqrt(57)/sqrt(3))**2. -940 - 130*sqrt(19) Simplify (sqrt(70)/(sqrt(90) - sqrt(10))*-6 + sqrt(567)*-1 + 4 + sqrt(567))**2*-6. -474 + 144*sqrt(7) Simplify 2*sqrt(242)*3 + 1*sqrt(242)*-1 + 4. 4 + 55*sqrt(2) Simplify 4 + (3*-6*sqrt(304)*-2)**2. 393988 Simplify (-2*sqrt(88)/(-6*sqrt(72))*2)**2*-5. -220/81 Simplify (0 + (sqrt(300)*4)**2 + 1)*1. 4801 Simplify (5*((sqrt(468) - 3*(sqrt(468) + 1)) + -5*-2*sqrt(468) + (sqrt(468) + sqrt(468)*2*5)*6))**2. -66600*sqrt(13) + 64069425 Simplify ((-4*(sqrt(76) + (sqrt(76) + -3*sqrt(76)*1 - sqrt(76) - sqrt(76) - sqrt(76))))/(1*sqrt(20)/(-1*sqrt(5))))**2. 4864 Simplify (-4*-3*sqrt(88)*2)/(sqrt(392)*-2*-3)*2. 8*sqrt(11)/7 Simplify ((sqrt(245) + -6*(2 + sqrt(245)) + sqrt(245))*-3)**2 + 1. 6048*sqrt(5) + 36577 Simplify ((1*(sqrt(75) + 0) + (sqrt(75) - (sqrt(75) + -1 + sqrt(75)) - sqrt(75))*6)*-4)**2. -10560*sqrt(3) + 145776 Simplify (sqrt(133)*-5*4)/((sqrt(84)*-5)/sqrt(12)). 4*sqrt(19) Simplify (sqrt(1715)*5)/(-1*sqrt(245)). -5*sqrt(7) Simplify 4*((-2 + sqrt(1700) + -1 - (sqrt(1700)*-2 + -2)) + 5)**2. 960*sqrt(17) + 61264 Simplify (0 + ((sqrt(561) + sqrt(561) + sqrt(561)*-1)/sqrt(11))/(sqrt(243)*1 + sqrt(243)) + 0)*2. sqrt(17)/9 Simplify (sqrt(65) + (-3*(-2*sqrt(65) + sqrt(65)) - sqrt(65)) + sqrt(65))/(sqrt(720)*4). sqrt(13)/12 Simplify (4 + (sqrt(13) + -2)*3 + ((-5*sqrt(26))/sqrt(2) - sqrt(13)))**2. 12*sqrt(13) + 121 Simplify ((-4*4*(sqrt(99) - (sqrt(99) + (sqrt(99) - (sqrt(99) + sqrt(99) + sqrt(99)*-1 - sqrt(99))))))/((sqrt(441) + -2*sqrt(441))*1))**2. 2816/49 Simplify ((sqrt(136) - (sqrt(136) - (sqrt(136) + (sqrt(136) - -4*sqrt(136)))))*5)/(sqrt(288)*3 + sqrt(288) - sqrt(8)). 30*sqrt(17)/23 Simplify sqrt(25)/(-2*sqrt(320) - sqrt(320)) + 5 - 1*(-4*sqrt(120)/sqrt(4))/sqrt(6). 5 + 95*sqrt(5)/24 Simplify -5*(sqrt(260)/sqrt(5) + sqrt(52)) + -1 - (3 + -1 + sqrt(117) - sqrt(117))*-6. -20*sqrt(13) + 11 Simplify (-5 + (sqrt(245) - (sqrt(245) + 3))*4 + (sqrt(245) + sqrt(245)*1)*-5 + 4)**2. 1820*sqrt(5) + 24669 Simplify 3*(-5 + -3 + sqrt(11) + sqrt(55)/(sqrt(20)/sqrt(4)))**2. -96*sqrt(11) + 324 Simplify (1*sqrt(2299)*-2 + -6*(sqrt(2299)*-1 + sqrt(2299) - sqrt(2299)))**2 - (sqrt(2299) + -1*sqrt(2299)*2 + -4)**2. -88*sqrt(19) + 34469 Simplify -1*3*(2 + sqrt(17) + (sqrt(17) + -2 - sqrt(17)) + 2 + 5). -21 - 3*sqrt(17) Simplify (sqrt(190) - sqrt(190)*-6*-5)/((sqrt(10) + sqrt(50)/sqrt(5))*-5). 29*sqrt(19)/10 Simplify ((sqrt(65) - (sqrt(65) + -4*-1*sqrt(65)) - sqrt(65))/(-1*sqrt(80)))**2 + 2. 357/16 Simplify 3 + (sqrt(99) + sqrt(99) + (sqrt(99) - 6*-1*sqrt(99)))/(sqrt(1296)*-3 - sqrt(1296)). -3*sqrt(11)/16 + 3 Simplify (sqrt(14) - (sqrt(14) - (sqrt(14)*-4 + sqrt(14))*1))/((sqrt(2) + sqrt(6)/sqrt(3))*-6). sqrt(7)/4 Simplify (-2*sqrt(294))/(4*sqrt(242) + sqrt(2) - sqrt(2)). -7*sqrt(3)/22 Simplify ((sqrt(119) - (sqrt(119)*-1 - sqrt(119))*-3 - sqrt(119))*-5)/(-2*(sqrt(7) + sqrt(567)*2)). -15*sqrt(17)/19 Simplify (sqrt(91) + sqrt(91) + ((2*sqrt(91) + sqrt(91) - sqrt(91) - sqrt(91))*1 - sqrt(91)) + sqrt(91) + sqrt(91))/(sqrt(56)/sqrt(8)*2). 2*sqrt(13) Simplify ((sqrt(684)*-1*5 - ((sqrt(684) - (sqrt(684) - sqrt(684)*1)) + -3))*-1*3)**2. -1944*sqrt(19) + 221697 Simplify -2 + -4*(-5 + (sqrt(128)*3 - sqrt(128))**2). -2030 Simplify ((1*sqrt(4000)*3)/(sqrt(56)/(sqrt(14)/sqrt(2)*6)))**2. 162000 Simplify (2 + -1*(sqrt(304) - (sqrt(304)*-2 + -1)))*2. -24*sqrt(19) + 2 Simplify (2*sqrt(119))/sqrt(7) + 0 + sqrt(833) + -3 + sqrt(17) + 2 + sqrt(17) + 3. 2 + 11*sqrt(17) Simplify -1 + 6*3*sqrt(13) + (sqrt(117)/(sqrt(99)/(sqrt(77)/sqrt(7))))**2. 12 + 18*sqrt(13) Simplify -4*(sqrt(209) - ((-2*sqrt(209) - sqrt(209))*-2 - sqrt(209)))/(5*4*sqrt(11)). 4*sqrt(19)/5 Simplify 0 + (5*(sqrt(132) + sqrt(132)*2))/(sqrt(27)/(-1*sqrt(9))). -30*sqrt(11) Simplify 5*((sqrt(30) - sqrt(1080))*4)/sqrt(10) + -5. -100*sqrt(3) - 5 Simplify (0 + (1*-2*sqrt(1584) + -3)*3)**2 + -5. 1296*sqrt(11) + 57100 Simplify (sqrt(14) + (2*sqrt(224) - sqrt(224)) - -3*-1*sqrt(14))/(2*sqrt(567) - -2*sqrt(7)*1). sqrt(2)/10 Simplify ((sqrt(15) - 2*sqrt(735)) + sqrt(240)/sqrt(4))/((sqrt(3) + (sqrt(6)/sqrt(2) + sqrt(3) + sqrt(3))*-2)*-1). -11*sqrt(5)/5 Simplify sqrt(245)*5 + 0 - ((sqrt(10)/(3*sqrt(2)))**2 + -2). 13/9 + 35*sqrt(5) Simplify sqrt(136)/(sqrt(200)*-3) - ((-5*sqrt(85)/sqrt(5))**2 + 5 + sqrt(17) + 0). -430 - 16*sqrt(17)/15 Simplify ((sqrt(2448) + (4 + sqrt(2448) - sqrt(2448))*-3)*-2 + 3)**2. -1296*sqrt(17) + 10521 Simplify sqrt(35)/(sqrt(245)*2) - (-2 + (-1*sqrt(63))**2). -61 + sqrt(7)/14 Simplify 3*(sqrt(1100)*4 + -3 + sqrt(1100) + -1 + -2). -18 + 150*sqrt(11) Simplify ((sqrt(24)/sqrt(2) + -1)**2 - (sqrt(588) + 2)) + -5 + -3. -18*sqrt(3) + 3 Simplify -4 + -2 + (sqrt(133) + 3*(sqrt(133) + sqrt(133)*2) + sqrt(133) + sqrt(133) - sqrt(133))/(sqrt(343)*2) + -1. -7 + 11*sqrt(19)/14 Simplify (sqrt(190)/((sqrt(100)/sqrt(5))/sqrt(4)))/((sqrt(8) + (1*sqrt(56))/sqrt(7))/sqrt(4)). sqrt(19)/2 Simplify -2 + (sqrt(2299)*-2*-6 - sqrt(2299))**2 + (1 + sqrt(2299) + 0)**2 + 1. 22*sqrt(19) + 280478 Simplify -1 + -2 + ((sqrt(117) - sqrt(117)*2 - sqrt(117))*-4)**2. 7485 Simplify (((sqrt(95) + 1*sqrt(95))*2)/(sqrt(25)/(2*sqrt(5))))**2*-2. -2432 Simplify (-2*sqrt(270)*3 - sqrt(270) - sqrt(270))/(sqrt(216)/sqrt(9)). -12*sqrt(5) Simplify (2 + (-2*(0 + sqrt(2)) - (sqrt(32)*-4 - sqrt(2) - sqrt(2))))**2. 64*sqrt(2) + 516 Simplify ((sqrt(78) - 5*(sqrt(78)*1 + sqrt(78) - sqrt(78)))*4)/(sqrt(18)/sqrt(27) - sqrt(48)/(2*sqrt(8))). 96*sqrt(13) Simplify 5*(sqrt(18)/sqrt(864) + -2*sqrt(363) + sqrt(363)). -655*sqrt(3)/12 Simplify ((sqrt(102)*-1*3*2)/(4*-1*sqrt(486)))**2 + -1. -19/36 Simplify ((sqrt(88) - (sqrt(88) + 5*sqrt(88)*-1)) + (-6*sqrt(88)*1 - sqrt(88) - sqrt(88)))/(sqrt(56)/(sqrt(448) - sqrt(28) - sqrt(28))) + -3. -12*sqrt(11) - 3 Simplify ((sqrt(153) + -3*(-2*sqrt(153) + sqrt(153)))*-3)/(sqrt(144)*4). -3*sqrt(17)/4 Simplify 2*(5*sqrt(200)*-2 + (5*1*sqrt(200))**2). -200*sqrt(2) + 10000 Simplify ((3*sqrt(432) - sqrt(432)) + -1 + -3*((-3 + sqrt(432) - sqrt(432)) + sqrt(432)))**2. -192*sqrt(3) + 496 Simplify ((sqrt(14) - (sqrt(1694) + (sqrt(1694) - -1*sqrt(1694)))) + sqrt(2016)*-2)/(4*sqrt(343)*2). -sqrt(2) Simplify (sqrt(220)/(sqrt(1440) - (sqrt(1440) + 3*sqrt(1440) + sqrt(1440))))/(sqrt(77)/(4*sqrt(14)/sqrt(2))). -sqrt(2)/12 Simplify -4*(sqrt(5) - (sqrt(80) + 0) - (-3 + (-1 + sqrt(5))**2)) + ((-1*sqrt(20))/sqrt(4) - (sqrt(10)/sqrt(32))**2) + -4. 3*sqrt(5) + 123/16 Simplify (6*sqrt(119)/(sqrt(7) - (sqrt(7) + (sqrt(343) - (sqrt(343)*-2 - sqrt(343) - sqrt(343)) - sqrt(343)))) + -5)**2 + 4. 15*sqrt(17)/7 + 5837/196 Simplify 1 + ((-4 + (sqrt(363) - (sqrt(363)*2 + -3)))*-5*-4)**2. 8800*sqrt(3) + 145601 Simplify (4 + 3 + -3*(sqrt(500)*-2 - sqrt(500)))**2. 1260*sqrt(5) + 40549 Simplify (2*((sqrt(1300) - (sqrt(1300) - (0 + sqrt(1300))))*-6 + 2))**2. -960*sqrt(13) + 187216 Simplify -3*((sqrt(48) - sqrt(96)/(sqrt(2)*-1 - sqrt(2))) + 2*sqrt(768))**2. -12996 Simplify ((sqrt(1088) + -1)*2 + -2)*-1. -16*sqrt(17) + 4 Simplify (3*sqrt(1573) + 1 - (sqrt(1573) - (4*sqrt(1573)*6 + sqrt(1573))))**2. 594*sqrt(13) + 1146718 Simplify 6*(sqrt(847) + (sqrt(847) + 1)**2*3 - (-1*sqrt(847) - sqrt(847) - sqrt(847))**2*-4). 462*sqrt(7) + 198216 Simplify ((sqrt(242) - sqrt(242)*-1) + 1
{ "pile_set_name": "DM Mathematics" }
Find the common denominator of -93/2 and (2/u)/((-48)/3570). 20 Let i(v) = -7*v - 2. Let x be i(-1). Calculate the lowest common multiple of (1 + 54)/x - 3 and 1. 8 Let h(c) = 68 - 98 - 6*c - 9*c. What is the smallest common multiple of 3 and h(-4)? 30 Suppose -l + 4*k = 26 - 2, -k - 3 = 2*l. Suppose -47 - 7 = 3*t. Let d = l - t. Calculate the smallest common multiple of d and 4. 28 Let c be ((-29186)/60)/((-298)/5). Let j = -3/596 - c. Find the common denominator of j and -33/4. 12 What is the common denominator of ((-3)/(-50))/((-72)/3180) and -13/440? 440 Let g be -41 + (9/(-3) - 0). What is the common denominator of 67/8 and 9/(-12) - 89/g? 88 Let t be 216/(-2) + (-8)/(-2). Let u = 64/11 - -533/88. Find the common denominator of t/48*8/10 and u. 120 Let m be ((-10)/3)/((-6)/(-27)). Let h = m + 15. Suppose u + 4*v + 0*v = h, 25 = 2*u + 3*v. What is the smallest common multiple of 22 and u? 220 Suppose -9*y + 226 + 89 = 0. What is the smallest common multiple of 15 and y? 105 Let p(u) = 14*u**2 + 251*u + 12. What is the least common multiple of p(-18) and 36? 180 Suppose -4*k = -6*k + 2. Suppose 0 = -2*u + 13 + 19. Let s = u - 5. Calculate the smallest common multiple of s and k. 11 Let c = 2464 - 2461. What is the lowest common multiple of c and 230? 690 What is the common denominator of 47/30 and 113/18 - (-8)/(-6)? 90 Let w(i) = -23*i**2 + i. Let n be w(-1). What is the common denominator of 52/5 and n/(-48)*(66 + (-2)/(-2))? 10 Let f = -154070/297 + 5734/11. What is the common denominator of f and (2/(-10))/((-3)/73)? 135 Let l(q) = 3*q - 23. Let o be l(8). Calculate the lowest common multiple of 22 and o*2/3*(-9 + 39). 220 Let c be 209/66 + 1/(-6). Suppose m + c = -1. What is the lowest common multiple of 9 and 39/6 + 6/m? 45 Let w be (62/(-76))/((-12)/24). Let z = 263/266 - w. What is the common denominator of 2 + 1/16 + 1 and z? 112 Suppose 4*s + 3*q = 186, 15 = 4*s - 4*q - 185. What is the least common multiple of s and 30? 240 What is the common denominator of 16/396*725/40 and 95/6? 198 Let n be (-8)/36 + (-1182)/27. Let z = n - -44. Calculate the common denominator of z and 73/8. 8 Let z = 3951/220 - 175/11. What is the common denominator of z and 93/10? 20 Let z be (-238)/(-14) - -1*2. Suppose -f + 9 = 4*x - 9, 2*f + z = 3*x. What is the least common multiple of x and 2? 10 Let u be (-8)/12 + -9*15/(-4). Let t = -40/3 + u. Calculate the common denominator of 93/14 and t. 28 Find the common denominator of -9/16 and (-5 - 1/1) + (-2163)/(-630). 240 Let z = 1266 - 1046. What is the least common multiple of 10 and z? 220 Let l = -379 + 380. Let n(x) = -x + 2. What is the lowest common multiple of l and n(1)? 1 Let g be (-4)/(-6)*-3 + 23. Suppose -2*b - 5*k + 0*k - 11 = 0, -3*b + g = -5*k. Suppose -19*z = -37*z + 72. What is the least common multiple of z and b? 4 Suppose 32*x = v + 27*x + 4, -2 = v - 4*x. What is the least common multiple of v and 2? 6 Let v(n) = n**2 + 5*n - 12. Calculate the least common multiple of 60 and v(-11). 540 What is the smallest common multiple of ((-11322)/(-255))/(6/20) and 11? 1628 Let v(q) = q**2 + 6*q + 6. Let k = -13 + 33. Calculate the lowest common multiple of k/90 + 104/18 and v(-5). 6 Let n = -110887 + 16632949/150. Find the common denominator of n and 53/10. 150 Suppose 13*i + 3*i - 160 = 0. Calculate the smallest common multiple of 130 and i. 130 Calculate the lowest common multiple of 84 and 2*-14*(-12)/7. 336 Calculate the common denominator of -101/6 and (106/16)/((-12)/16). 6 Let f = -1/154 + 573/154. Let r = 902 - 17146/19. Calculate the common denominator of f and r. 133 Let u(r) = -r - 5. Suppose -2*y = -4*y - 2. Let i(t) = 15*t**2 + 2*t + 1. Calculate the least common multiple of u(-11) and i(y). 42 Suppose 5*g = 5*y + 5, -y + 5 = 3*g - 2*g. Suppose a + y*v = -22, a + v - 13 = 6*v. Calculate the common denominator of a/(-42) - (-474)/105 and -40. 5 Suppose -5 = j - 1, 2*g + 6 = -4*j. What is the common denominator of ((-204)/40 + 3)*g/(-6) and 15/158? 316 Suppose -2*u = -45 + 41. Find the common denominator of (-6 - u) + (-16)/(-64) and ((-1)/(-14))/((-4)/58). 28 Suppose -4*w = -0*w + 80. Calculate the common denominator of ((-1005)/w)/((-15)/2) and 23/20. 20 Let v = 39771 + -1431665/36. Calculate the common denominator of v and -121/18. 36 Find the common denominator of 1 + 2 - 13/6 and 81/1072. 3216 Let g(a) = a + 22. Let x be g(8). What is the common denominator of 1 + -3 + 8/x and 22/27? 135 Let w = 9379/117 - 703/9. Calculate the common denominator of 6/(-8) + ((-735)/36)/1 and w. 78 Let c = 11016 + -110049/10. Calculate the common denominator of c and -53/38. 190 Let w(k) = k**3 - 5*k**2 - 8*k + 4. Let z be w(5). Let x = -10 - z. Let y(o) = o**2 + 73*o + 1332. What is the lowest common multiple of y(-33) and x? 156 Let q = 23/49 - 4735/588. What is the common denominator of q and -65/72? 72 Let k = 2419609/4798053 + -2/123027. Find the common denominator of -83/15 and k. 585 Let u be 1*8/(-60)*-857. Let y = -38413/330 + u. Let j = -6233 - -49963/8. Calculate the common denominator of y and j. 88 Suppose p - 3*m = -6*m - 32, -15 = 3*m. Let z = -13 - p. Calculate the lowest common multiple of 6 and 8/(-12)*(z + -7). 6 Suppose 3*x - 10*u - 1794 = -14*u, 3*x = u + 1779. What is the smallest common multiple of 60 and x? 5940 Let a be (-2)/7 + 2622/(-819). Let r = a - -2489/546. Let b = -7332 - -88055/12. What is the common denominator of r and b? 84 Let h = 406 + -396. Calculate the least common multiple of h and 2. 10 Let y = 1 - 0. Suppose -4*l + 3 = 3*w, 3*l + 2*l + 15 = 0. Suppose -w*v + 18 = -12. Calculate the lowest common multiple of y and v. 6 Let l(g) = g + 12. Let s be (-92)/(-22) - (-2)/(-11). What is the smallest common multiple of l(s) and 4? 16 Let l(a) = -27*a**3 - 3*a**2 - 5*a - 7. What is the least common multiple of 33 and l(-2)? 2277 Let v = -25465/20517 - -3/977. Find the common denominator of 52/21 and v. 21 Suppose -17*l = -15*l - 20. Let j = 6 - -36. Calculate the lowest common multiple of l and j. 210 Let l(d) = -12*d + 28. Let h be (-308)/42 + (-1)/(-3). What is the lowest common multiple of l(h) and 4? 112 What is the common denominator of 156/660 - (-16)/(-88) and 87/20? 220 Let p = -601189/24 + 25055. Calculate the common denominator of -97/8 and p. 24 Suppose 0 = 3*y - 3*w - 249, 74 = y - 0*y + 2*w. Find the common denominator of (-6)/5*y/(-24) and 21/11. 11 Let z(c) = 2*c**3 - 6*c**2 + 3*c - 6. Suppose -210 = -6*v - 12. What is the smallest common multiple of v and z(3)? 33 Let o(d) = d**3 + 5*d**2 - 6*d - 6. Let y(v) = 2*v + 1. Let n be y(-3). Let k be o(n). Let r = 65 - k. Find the common denominator of -34 and r. 1 Let i = 14/3 - 283/60. What is the common denominator of i and (3/10)/(84/580)? 140 Let c = 1292033/300 - 25837/6. What is the common denominator of -91/120 and c? 600 Let a be 2*-7 - -1 - 0. Let f = -9 - a. What is the lowest common multiple of 10 and f? 20 Suppose 67*j - 4*j - 189 = 0. Let s = -170 - -116. Let v = -38 - s. What is the least common multiple of v and j? 48 Suppose -2*j - 61 = -s, 4*j + j + 160 = -5*s. Let t = -14 - j. Suppose t*i = 14*i + 60. What is the least common multiple of i and 12? 60 Suppose -n - 20 = -2*n. Let u = n + -11. What is the least common multiple of u and 5? 45 Suppose -2*i + 534 + 162 = 27*i. Suppose -6*n = -2*n - 12. What is the least common multiple of n and i? 24 Let p be 13262/(-41)*3/72. Let x be 15/205*(-17)/(-4). Let d = p + x. What is the common denominator of d and 20/7? 42 Let n = 399 - 373. What is the smallest common multiple of 13 and n? 26 Let v(m) = -m**3 - 5*m**2 + 9*m - 9. Let y be v(-7). Let o = 35 - y. Calculate the least common multiple of 3 and o. 9 Calculate the common denominator of 62/513 and (-13 + 15)*(-308)/4104. 513 Let f = 85399/10 - 8532. Calculate the common denominator of 31/98 and f. 490 Suppose 6 = j - o - 5, 0 = 5*j - 4*o - 50. What is the least common multiple of 49 and j? 294 Suppose 2*a + 3*l - 2*l = -13, -26 = 3*a - 5*l. Let r = 11 - 9. Calculate the smallest common multiple of 2 + -3 + 4 - a and r. 10 Let c = -1100/5353 + -38760627/471064. Let s = c - -972/11. What is the common denominator of 103/12 and s? 24 Let r(x) = x**3 + 9*x**2 + 8*x + 8. Let k be r(-8)
{ "pile_set_name": "DM Mathematics" }
at is the biggest value in y, c, 0.02? y Let u = 39 - -6. Let l = -25 + u. Which is the third biggest value? (a) -1 (b) l (c) -2 c Let t be 2/(-7) + (-2506480)/210. Let s = -11939 - t. Let d = 17/7 + s. Which is the biggest value? (a) d (b) -1 (c) 2 c Let g = 9797/20 + -490. Which is the third biggest value? (a) g (b) -3 (c) -1/11 (d) 2/9 a Let a = 0.127 + -0.127. What is the fourth biggest value in a, 5, 4, 0.1? a Let x = -14/11 - -1380/1067. What is the smallest value in x, -4/3, -3, 0? -3 Let a = 43.5874 - -0.0126. Let i = -44 + a. What is the third smallest value in i, -2, 7? 7 Let w = 577 + -551. What is the biggest value in 1/7, -0.3, w? w Suppose 0 = 40*u - 29*u + 55. Let s be (-15)/9*(u - -2)*1. What is the third smallest value in -0.4, 2, -4, s? 2 Let t be 2 - (-48)/(-26) - (-987)/(-2444). Which is the second biggest value? (a) 0.2 (b) t (c) 1/2 (d) -6 a Let x = -0.8 - -0.3. Let p be -3 + 13 + (-3 - 2). Which is the smallest value? (a) x (b) -0.01 (c) -4 (d) p c Let g be 4/(-26) - 114/273. Let p = 831 - 833. What is the third biggest value in p, 0, g? p Let p = -13.64 + -1.4. Let j = p - -15. Let w = j + 0.44. Which is the second biggest value? (a) w (b) -0.4 (c) -1/3 c Let n = -656/7 + 94. Suppose -12 - 12 = -4*x. Suppose -x*h = -5*h + 4. Which is the second biggest value? (a) n (b) -3 (c) h b Let v be (-34)/66 + 2/6. Let n be (-1)/(-3)*(-55 + 7)/(-4). What is the third smallest value in v, 0.5, n, 0.2? 0.5 Let q = 4.281 + 0.019. Let x = q + -4.4. What is the smallest value in 1, 5, x, -0.3? -0.3 Let g = 10 - 6. Suppose -13 = 2*w - 19. Suppose 0 = -g*y + 5 + w. What is the third biggest value in 3, y, -0.5? -0.5 Let l = 15 + -15. Suppose l = h + 5*c - 0 + 6, -c + 6 = 2*h. Let w be 1/(-7)*-2 + 0. What is the third biggest value in h, w, 0.5? w Let o be (6/4)/(1/(-20)). Let s = -64.22 + 62.22. Which is the third smallest value? (a) o (b) 1/2 (c) s b Let p = 0.1757 - -0.0243. Let q = 13 + -8. What is the smallest value in 0.5, -1/3, q, p? -1/3 Let a = 12 + 0. Let c = a - 9. What is the third smallest value in -1, c, -0.4? c Let i = -5.07 + 5. Suppose 0*m - 3*p = 3*m - 702, 1170 = 5*m - p. Let s = 3040/13 - m. What is the third smallest value in s, i, 1? 1 Let m(a) = 160*a + 6. Let n be m(-8). Let l be (-4)/(-26) - (-560)/n. What is the smallest value in -3, l, 9? -3 Let f(t) = 5*t - 15. Let d be f(7). Suppose 2*m - 6*m - 5 = 5*z, -3*m + z + d = 0. Which is the third smallest value? (a) 1/4 (b) m (c) 6 c Let z = 57 - -31. Let s = -87.8 + z. Which is the second smallest value? (a) -0.28 (b) s (c) 3/4 b Let y = 220.5 - 220. What is the smallest value in -9, -0.7, -5, y? -9 Let a = 5.84 + -5.14. Let y = -1 - -2. What is the second biggest value in -0.3, 2, a, y? y Let t = -0.52 + 0.59. What is the second biggest value in 7, t, 3/2? 3/2 Let t be (0 - 12/9)*-6. Let g(h) = 8*h**2 + 4 + t*h - 2 + 28*h**3 - 27*h**3. Let o be g(-7). What is the third biggest value in o, -2/9, 11? o Let q be (-12)/78 - 30/(-26). Let o be q/4*(-40)/6. Let d = -7/6 - o. Which is the second biggest value? (a) d (b) -4 (c) 0.4 c Let d = 1.6 + -37.6. Let s = d + 36.5. What is the second smallest value in -3/7, s, -0.5? -3/7 Let j be 12/78 - 8/(-286). Let c = 0.03 + 0.07. Let h = -0.13 - -5.13. What is the second smallest value in h, c, j? j Let l = -115 - -114.99. What is the biggest value in -2, -0.5, -1/7, l? l Let i = -442834/323 + 1371. What is the smallest value in -3, 4, i? -3 Let i = -56 + 53. Which is the biggest value? (a) -2/23 (b) 2 (c) i b Let d = -0.6 + 0.3. Let k = -191/2 + 95. What is the second smallest value in -1/5, d, k? d Let j(x) = -x**3 - 8*x - 13*x + 29 - 14 - 13*x**2. Let p be j(-11). What is the biggest value in -2, 1, p, -1/12? p Let i be (-2)/(-60)*3*(-18)/24. What is the third biggest value in -3, -4, -1/5, i? -3 Let g = 2791 + -2796. Which is the second biggest value? (a) -0.08 (b) -1.5 (c) g b Let k(a) = a**3 - 6*a**2 + 4*a + 6. Let g be k(5). Let v be 6 - ((-3)/(-3))/g. Suppose 80*r + 6 = 77*r. What is the third biggest value in v, r, -0.3? r Let g = -15.195 + 19.195. Let i = -4.99 - 0.01. Let s = 2.05 + -0.05. What is the second smallest value in g, s, i? s Let g(o) = o**3 - 17*o**2 + 19*o - 34. Let a be g(16). What is the third biggest value in a, -0.04, -4? -4 Let g(d) = -d**3 - 6*d**2 + d + 5. Let o = -38 - -32. Let z be g(o). Let s = 2.8 + -3. Which is the second biggest value? (a) 9 (b) z (c) s c Let t = 0.012 - -0.088. Let p = t + -0.5. Let n = -2.1 - -2. Which is the third smallest value? (a) n (b) 3/8 (c) p b Suppose g + 4*t = 0, -2*g - 3*g - 4*t = 0. Suppose -2*k = -2*r + 3*k + 205, -k - 437 = -4*r. Let x = 988/9 - r. What is the second smallest value in g, -2/7, x? x Let y = -167/161 - -14/23. Let q = 0.6 + -0.3. Let u be ((-15)/270)/((-19)/(-38)). Which is the smallest value? (a) y (b) q (c) u a Let m(k) = k + 6. Let q be m(-6). Let p = 1389.92 - 1390. What is the second smallest value in q, p, 0.4? q Let s be (3 - 3)/(2/(-1)). Let v be ((-3)/(-1))/(7/(-35)). Let q be v/25*(-4)/(-6). Which is the third smallest value? (a) -2 (b) s (c) q b Let j = 0.73 + -0.35. Let u = -0.78 + j. What is the third smallest value in 3, -5, u? 3 Let m = -87.2 + 91.2. What is the smallest value in 43, 5/6, m? 5/6 Let z be 53*-1*(-32)/320 - 5. What is the smallest value in z, -0.3, 6/11, 3/4? -0.3 Let i = 253 - 251. What is the biggest value in i, -1, 1, 1/7? i Suppose 4*a = 3*s - a - 26, 30 = 5*s - 5*a. Suppose -2*h = s*h + 12. What is the second smallest value in h, -2/15, -2? -2 Let b = 7.52 + -29.52. What is the second biggest value in 0.3, 1/9, b, 4/7? 0.3 Let z = -0.189 - -10.889. Let n = -11 + z. Which is the third smallest value? (a) 1/3 (b) 0.3 (c) n a Let k = -1374 + 1378. What is the third biggest value in -0.28, k, -0.4? -0.4 Suppose -4*i = -8*i. Suppose 3 = 2*y - 1. Which is the third biggest value? (a) 0.1 (b) i (c) y b Let n = 368.85 - 369. What is the second biggest value in n, 0.3, 2/11? 2/11 Let x = 169/218 - 30/109. What is the second biggest value in 2/11, x, -55? 2/11 Let s be ((-141)/15)/(3/33). Let v = s + 104. Which is the biggest value? (a) v (b) 0 (c) 1 c Let j = 95 + -91. What is the fourth biggest value in -0.5, -0.3, 2/57, j? -0.5 Let d = -2.97 + -0.03. Let w = 60/137 - 146/959. Which is the second biggest value? (a) 3/10 (b) d (c) w c Let n = -277 - -277.5. Which is the smallest value? (a) -0.7 (b) -13 (c) n (d) -3/5 b Suppose 2*s = 782 - 786. Which is the second biggest value? (a) 2/23 (b) -0.2 (c) 0.3 (d) s a Let q(i) = -i**2 - 7*i + 9. Let z be q(-7). Let j = -711/4 - -179. Let v = j - 27/28. Which is the second biggest value? (a) v (b) 0.4 (c) z b Let j = -373 - -378. What is the third biggest value in 6, -0.8, j? -0.8 Let p = -25.2 - -25. Let b = -0.05 + 0.15. Let l = 0.3 + b. What is the second biggest value in l, p, 3? l Suppose -12 = -9*c + 6*c. Suppose -4*f + 0*f + 5*o = 38, -5*f - c*o = 68. What is the second biggest value in -5, f, 0? -5 Let p = -622 - -614. Which is the third biggest value? (a) 5 (b) p (c) 3/5 (d) -4 d Let r be -1*(26 - 9)/(1/1). Which is the biggest value? (a) 0.4 (b) r (c) 0.5 (d) -5 c Let c = 106.1 + -106. Let j = 6 - 12. Let s be (-70)/(-52) - j/(-4). What is the biggest value in s, c, 0.4? 0.4 Let m = -504038/4005 + 132/445. Let h = -126 - m. Which is the biggest value? (a) h (b) 19 (c) -5/2 b Let x = 739/156 - 55/12. What is the second smallest value in x, 5, 0.5, 3? 0.5 Suppose 20 = -5*s + 10. Which is the biggest value? (a) s (b) 2/17 (c) 3.1 c Let k be 136/84 + (-64)/48. What is the smallest value in -9, -6/7, k? -9 Let f = -0.452 + 9.452. What is the second biggest value in -12/7, f, -4? -12/7 Let w = -16.39 + 14.39. What is the second smallest value in -12, 1, 0.3, w? w Let h = -383599/274 + 1400. Let m = h + 531/4658. What is the third biggest value in 0.1, -4/3, m, -4? -4/3 Let r = 925 - 826.3. Let z = r + -99. What is the third smallest value in -0.4, 0.01, z? 0.01 Let v = -982 - -979. Which is the second biggest value? (a) 8 (b) -0.1 (c) v b Let n = 13 + -33. Let p be ((-76)/n - 3) + 0. What is the second biggest value in 2/11, 3, -7, p? p Let d = -3/2 + 17/14. Let i = 4.97 + 0.
{ "pile_set_name": "DM Mathematics" }
ate (40/6*(-109)/872)/((1495/(-1518))/65). 55 Evaluate 7/5*(-252)/(-14)*(-8)/42. -24/5 Evaluate (0/(-17))/(-21)*1. 0 Calculate (-52)/26*-1*11/858. 1/39 Evaluate (6/(-3)*54/(-63))/((-24)/84). -6 Calculate (25/(-32))/((-26)/(-260))*(-18)/(-15)*-8. 75 What is ((31/62)/(3/6)*-1)/((-5)/445)? 89 What is the value of ((-3384)/756)/47*-3*(-6)/(-20)? 3/35 What is the value of ((10/15)/((-27)/(90882/44)))/(-1)? 51 ((-238)/(-56))/((-524)/1048) -17/2 Calculate (-36)/90*(-250)/315*245/(-35). -20/9 40/28*1416/10620 4/21 3*220*(-46)/(-552) 55 What is (((-46)/(-690)*15)/(6/2))/((-5)/(-990))? 66 What is (((-1080)/117)/(-12))/(83/(-83))? -10/13 Evaluate 3/6*2/3*(-4)/((-564)/(-9729)). -23 What is ((416/(-96))/13)/((10/(-620))/(3/(-4)))? -31/2 What is the value of 3/(((6/(-21))/((-52)/26))/((-4)/(-1302)))? 2/31 Evaluate (((-36)/(-609))/3)/((-151968)/(-132972)). 1/58 What is 3/((41/(113652/66))/((-3)/7))? -54 Evaluate (((-30)/225)/((-4)/(-3)))/(1860/(-2325)). 1/8 4*(-49)/(-14)*(288/63)/(-4) -16 What is the value of (28/12*-6*(-9)/(-315))/((-16)/10)? 1/4 What is (1*8/(-88))/((93/(-18))/31)? 6/11 Calculate 1980/(-1650)*28/9*-15. 56 (44/(-16))/(((-693)/(-6))/(-21))*9/(-2) -9/4 Calculate (7/3)/(((-72)/4392)/((-39)/91)). 61 Evaluate (((-1)/(-2))/(49/(-252)))/(447/(-2086)). 12 Calculate -2*(-2)/2*(-2)/(-4)*709/(-7090). -1/10 What is the value of 39/3*(-36)/(-1872)*68? 17 What is the value of 5/((-15)/(-3))*23817/(-467)? -51 What is the value of (-110)/187*5712/224? -15 What is the value of ((1/4)/((1105/364)/(-17)))/(32/400)? -35/2 72*(-14)/(-1574496)*44 2/71 Evaluate ((14/(-12))/((-12544)/1152))/((-3)/(-12)*1). 3/7 Calculate (54/28)/(-9)*378/12. -27/4 What is ((-47)/(2397/(-170)))/((-55005)/171)? -2/193 What is 12/104*-5*34/510*-10? 5/13 What is the value of 17680/37128*(-21)/(-4)*12/(-295)? -6/59 Evaluate 10/((-9)/((-1809)/(-27470))). -3/41 What is the value of 1128/(-96350)*75/(-9)? 4/41 What is the value of (-5*(-28)/(-140))/(1*3/132)? -44 Calculate (8/4)/((-40)/20)*(-1302)/(-21). -62 What is 84300/(-22480)*((-12)/(-63))/(30/(-9))? 3/14 Evaluate ((-2816)/66)/(5*(-64)/240). 32 What is (19/1292*34)/((-1)/10)? -5 Evaluate (-389019)/77252*(-7)/(-3). -47/4 Evaluate 35*(-2)/(-20)*2900/350. 29 What is (((-6)/(-165))/(4/60))/((-18)/((-5346)/351))? 6/13 Evaluate (-1*2/(-4))/(((-13756)/114)/(-181)). 3/4 What is the value of ((-31)/62)/(28/(-6))*24/144*-4? -1/14 What is the value of (24/(-990))/(1368/(-51300))? 10/11 Evaluate (((-214)/(-27285))/((-4)/(-3)))/((-2)/(-5)). 1/68 Calculate (5766/15376)/(2/(-112)). -21 What is (570/(-760))/(6*1)*1720/((-35)/7)? 43 ((-492)/(-10))/((-47028)/39190) -41 (-9)/(((-1078)/(-7))/(-22))*1/(-6)*-10 15/7 Calculate (-7)/(((-2)/((-1)/(-1)))/((-29120)/(-5096))). 20 What is 14*29/(-47502)*-63? 7/13 Evaluate ((-56160)/(-300))/(-78)*80/(-84). 16/7 Evaluate (165/77)/((9/(-21))/(72/24))*-1. 15 Calculate (-29996)/37495*(-6)/4. 6/5 What is (-28101)/(-24795)*(-12)/51? -4/15 (-1639)/8195*20*3/546 -2/91 What is ((290/120)/(-29))/(40/(-160))*7? 7/3 (216/(-1530))/(-4*4/(-40)) -6/17 What is the value of ((-175485)/(-608348))/(1/13*6)? 5/8 What is 5*15/345*23*1/(-11)? -5/11 (-3)/30*(120/(-486))/((-204)/(-51)) 1/162 What is (8/(-220))/(1554/(-407))*((-105)/(-9))/(-5)? -1/45 Calculate 2655/(-1062)*(-13)/65*(-118)/(-1). 59 32*((-5461)/86)/127 -16 Evaluate (-20*869/2370)/(-10*(-3)/27). -33/5 What is 18/((48/64*28)/7)? 6 Calculate ((-125)/10)/((-29)/(-870)*15). -25 What is ((-504)/4620*(-5)/((-150)/20))/((-3)/5)? 4/33 Calculate ((140/(-147))/(-4))/(-13*(-105)/546). 2/21 What is ((-225992)/410)/106*350/(-13)? 140 ((-888)/(-6734))/(2*(-1)/14) -12/13 9/1*770/(-693) -10 What is (-112)/(-40)*430/2107? 4/7 ((-80)/(-8))/(((-7)/(-57))/((111440/480)/199)) 95 Calculate ((-3)/(-24))/(4788/4256)*639*-1. -71 Evaluate 4/(8/10)*-3*(-130)/(-130). -15 What is the value of ((15/45)/(1/79))/(1541/(-4623))? -79 What is (-1)/(-1)*609/(-203)*3/((-9)/62)? 62 Calculate ((198/8)/3)/(((-10947)/(-356))/41). 11 Evaluate 1/(4/(8/2))*(-10)/425. -2/85 (58/4)/(-1)*12/(-9)*(-27)/54 -29/3 Calculate ((-15570)/(-3460))/((9/(-24))/1). -12 (2*((-98)/(-14))/(-175))/((-5)/(-10)) -4/25 What is the value of (1/(-3)*(-702)/195)/((-96)/(-32)*-19)? -2/95 What is the value of 20/(-125)*(-1*11/22)/1? 2/25 What is the value of 29/((-348)/(-24))*(-4)/732*-1? 2/183 (3584/144)/(-16)*(1584/64)/(-11) 7/2 What is 1/(-110)*-198*-20? -36 6/14*2/8*(-14184)/8865 -6/35 Calculate (-4)/(-72)*-3*((-4)/(-14))/((-182)/14014). 11/3 Calculate ((-24)/(-118))/(5334/3461766). 132 Evaluate ((6/2)/18)/((124300/495)/(-113)). -3/40 Evaluate ((-84)/(26/13))/(22/11). -21 What is ((-55)/60*3)/(((-14)/(-147))/((-160)/(-140)))? -33 Evaluate 3*1/1*(630/240)/(-21)*-376. 141 What is the value of ((-10)/3*24/15)/(2943/(-17658))? 32 5/(50/420)*((-61)/183)/((-7)/(-36)) -72 What is ((-4)/(-14))/(((-7000)/(-1100))/35)? 11/7 Evaluate ((-4297)/(-25782))/(((-3)/(-1))/1). 1/18 What is (-13)/(6162/28)*((-6)/56)/((-2)/(-8))? 2/79 Evaluate 14/(-35)*(-26)/(-1456)*-7. 1/20 Calculate (3*(-22)/165*5)/((-8)/144). 36 (-10)/7*((-26201)/(-95))/197 -2 Evaluate ((-3419)/20514)/(3/900). -50 Calculate (67/((-31356)/180))/(-5). 1/13 Calculate 7/(((-44604)/(-4661))/108). 79 Evaluate 8/2*(-51)/(-34)*(-56)/(-16). 21 Calculate ((-77)/(1463/494))/((-10)/45*-3). -39 What is the value of (200/2220*1/2)/((-470)/(-282))? 1/37 Calculate (-27)/378*175*60/25. -30 Calculate -84*384/(-64)*(-2)/16*21/(-27). 49 What is the value of (-2*22/(-385))/(46/(-230))? -4/7 (1/1)/(-122)*(-24)/(-204)*34 -2/61 Evaluate ((19610/4218)/(-53))/((-15)/(-18)). -2/19 8*((-162)/(-243))/(16/(-3)) -1 Calculate 10*6/(-8)*4440/3330. -10 Evaluate (512/(-60))/(2100/(-15750)). 64 What is the value of (470/188)/(80*(-26)/(-107328))? 129 ((-120)/7350)/((-320)/100)*8 2/49 ((-13904)/(-10112))/(19*33/12) 1/38 What is the value of 108/10*(-26810)/(-554967)? 12/23 What is 52/(56/((-1624)/58))? -26 What is the value of ((10320/600)/(-43))/(4/510)? -51 Calculate (-1896)/(-8690)*-2*2/((-24)/(-30)). -12/11 2995/9584*(-56)/5 -7/2 ((-76)/(-57))/1*408/(-16) -34 What is ((-9)/(-7)*(-79)/(-711))/1*104/676? 2/91 (2/(-8))/((11/(-572)*-2)/((-336)/(-728))) -3 Evaluate (((-12)/6)/(-6))/(146/(-12702)). -29 Calculate (10/45)/(2/78)*(-7920)/(-5280). 13 Evaluate 4/(-10)*(-400)/12*(-531)/1770. -4 What is ((5390/84)/(-11))/((-200)/960)? 28 What is ((-168)/(-252)*(-90)/200)/((-3)/870)? 87 32/(2816/(-88))*((-108)/(-2))/(-2) 27 Evaluate -5*(75/50)/(30/232). -58 Evaluate (546/(-70))/(-35*18/(-3150)). -39 What is (((-2112)/224)/33)/((-4)/(-406))? -29 What is the value of 10/(-4)*72*78/(-1755)? 8 Evaluate ((-3)/(-16))/(((-1)/44*11)/1). -3/4 What is the value of 68/(-1870)*-5*2? 4/11 Evaluate ((-24)/(-52))/((-206)/(-103)). 3/13 Calculate 3*(305/10)/(45/(-30)). -61 2/3*(726/(-1694))/(36/14)*-441 49 What is (-40)/(-456)*(4248/1475)/(15/(600/16))? 12/19 (150/(-78))/(((-30)/8)/(450/100)) 30/13 (60/(-140))/(-5*14/((-5390)/21)) -11/7 Evaluate ((-332)/(-996))/((-10)/6*(-34)/(-10)). -1/17 What is -8*(-76)/56*40/((-2240)/196)? -38 What is the value of (1050/(-11550))/((-12)/165)? 5/4 What is the value of (7038/136)/69*((-2)/8)/((-15)/(-8))? -1/10 ((-400)/70)/(720/7560) -60 What is ((-1350)/100)/(((-3)/(-39))/(10*7/455))? -27 Evaluate 31779/(-214)*10/15. -99 Calculate (-725)/(-250)*15*((-34)/204)/(2/16). -58 What is (-105)/60*(-552)/336*-8? -23 Evaluate (2554/(-1866974))/((-1)/17). 1/43 Evaluate (-1)/(-2)*31*1035/(-230)*24/18. -93 Calculate ((-85)/(-170)*(-2)/(-5))/(19/(-3895)). -41 Calculate (-567)/(-243)*792/(-84). -22 (100/2*805/575)/((-1)/1)*1 -70 (260/(-416))/(40/240) -15/4 What is 7/(-7)*-15*(-27)/(-6075)? 1/15 What is the value of -24*((-5)/14)/((-370)/(-185))? 30/7 What is ((-3)/(-6))/((-14)/4)*716513/6039181? -1/59 38/(-1)*(-900)/1800 19 (2/(-392))/(10752/87808) -1/24 What is the value of 1*2/100*(35571/(-142))/501? -1/100 What is (1*2)/(96/(-174720)*-70)? 52 Evaluate 3*10*(-1252)/35056*21/36. -5/8 (56/(-1463))/((-44)/(-242)) -4/19 (489040/134486)/((-2)/44) -80 What is the value of (8/(-18)*963/(-107))/((-2)/3)? -6 Calculate (3/(-2))/((-40)/17920*28). 24 Calculate 10/(-80)*2/(-267)*648/(-27). -2/89 What is the value of 27/(-8)*(-6688)/12540? 9/5 Calculate (-1*18)/(462/(-168)*(-144)/(-88)). 4 Calculate (387/4257)/((-15)/(-11715)). 71 Evaluate
{ "pile_set_name": "DM Mathematics" }
54*42/64 - 1 and 18/12 - (-33)/(-24). 144 Let a(q) = 2*q**3 + q**2 - 10*q + 2. Let g be a(4). What is the common denominator of -19/12 and 4 - g/40 - 4? 60 Let h be (-2352)/6230 + 2/(-15)*-3. Let c = -4084/445 - h. Calculate the common denominator of c and 36/5. 5 Let b(w) = w**3 + 15*w**2 - 20*w - 8. Let c be b(-15). Find the common denominator of 0/2 - c/(-72) and 1/52. 468 Let d = -4 - 20. Calculate the common denominator of -1*(-3)/(d/13) and ((-5)/((-225)/(-235)))/(-2 - -3). 72 Let r(k) = k**3 + 5*k**2 - 18*k - 6. Let p = 25 - 36. Let y be 8*3/6 + p. Calculate the smallest common multiple of 16 and r(y). 176 What is the common denominator of (1 - 7)/(((-90)/(-10))/54) and -38/81? 81 What is the common denominator of -143/18 and 2/5 - (-4173)/5330? 738 Suppose 4*w = 6*w - 28. Calculate the least common multiple of 2/15*27 - (-10)/25 and w. 28 Suppose -5*v + 15 = 3*r, 7*v = 2*v - r + 15. What is the smallest common multiple of (-3)/(9/(-2))*v and -2*((-10)/2 + -1)? 12 Suppose -2*q = -0 + 12. What is the common denominator of -33/2 and ((-88)/q + -2)/(-6)? 18 Suppose 0 = 36*g - 50 + 14. What is the smallest common multiple of 106 and g? 106 Let k be (8/60)/(4/(-48)). Let a = k - 223/45. Find the common denominator of a and 61/2. 18 Let a = 441825/32 + -13809. Let c = 2/7581 + -12659/90972. Find the common denominator of a and c. 288 Let u = 93571 + -14316418/153. What is the common denominator of 70/9 and u? 153 Suppose 0 = 5*h + 28 - 3, -h = -4*r + 21. Suppose 5*j - 4 = v, r*v - 2*j = 2*j + 16. Calculate the least common multiple of 5 and v. 30 Let l be ((-4483764)/(-88))/9 + -3. Let h = 5662 - l. Find the common denominator of h and ((-2)/(-3))/(4/(-141)). 22 Let r(s) = 2*s + 9. Let a = -6 - -4. Let d be a - 4 - (0 - 2). What is the lowest common multiple of r(d) and 17? 17 Let f = 85707297067842485/30328 + -2826012169676. Let c = -12/3791 - f. Let l = -32845/72 + c. Find the common denominator of l and 25/4. 36 Find the common denominator of ((-18)/(-75))/((-48)/(-1380)) and 55/284. 1420 Calculate the common denominator of -29/15 and (-4456)/2240 - 2/7. 120 Let z(x) = x - 2. Suppose -4*b + 206 = -2*c, 0 = -4*b - 2*c + 86 + 100. Let k = b + -25. What is the least common multiple of z(4) and k? 24 Let l(p) = p**2 - 10*p + 10. Let i be l(9). Let x = 9 - i. What is the least common multiple of 7 and x? 56 Let x be 2/(6/(-9)) + 6 + -2. Calculate the common denominator of (x/21)/(10/390) and -65/3. 21 Let s = -73 + 78. Suppose 10*h - 120 = -s*h. Let z = 40 - 24. What is the least common multiple of z and h? 16 Let m be 56227/8124 - (-12)/(6 + -2). Let a = -3/677 + m. What is the common denominator of 77/12 and a? 12 Let b(u) = u**2 + u - 1. Let z(f) = 6*f**2 + 15*f - 12. Let g(r) = 5*b(r) - z(r). What is the least common multiple of 8 and g(-10)? 56 Find the common denominator of (5/(-10))/(36/(-488)) and -43/27. 27 Suppose -54 = -9*m + 6*m. Let b = -97 - -99. What is the smallest common multiple of b and m? 18 Let s(g) = 11*g + 10*g - 27*g + 23*g**2 + 4*g + 3. Calculate the smallest common multiple of s(1) and 9. 72 Let h = 124153/14 + -8860. Find the common denominator of -38/161 and h. 322 Calculate the common denominator of 143/42 and ((-2)/95*2)/(238/85). 798 Let i be (-142020)/(-35) - ((-5)/(-7) + -1). Let h = i + -85261/21. Calculate the common denominator of 151/24 and h. 168 Suppose -4*c + 56 = 5*i, -3*i = -0*i + 4*c - 32. What is the least common multiple of 12 and i? 12 Suppose 9 = x - 9. What is the least common multiple of x and (10/35)/(3/21)? 18 Let i(d) = d - 6. Suppose 4*r = -0*r + 3*x + 44, r + 5*x + 12 = 0. What is the least common multiple of i(r) and 20? 20 Let k = -2570187/116 - -22157. Find the common denominator of k and 45/4. 116 What is the lowest common multiple of (7 - 17)/(14/(-21)) and 11? 165 Suppose o - 4*o + 114 = 0. Let k = o - 34. What is the lowest common multiple of k and 20? 20 Suppose 40 = 12*m - 7*m. Suppose 16 = 10*r - m*r. What is the smallest common multiple of r and 14? 56 Let i(j) = 3*j + 18. Let q be 871/65 + 4/(-10). Let k be i(q). Let u = -33 + k. Calculate the least common multiple of u and 14. 168 Let d be ((-37)/(-5))/((-13)/(-2)). Let n = d - -7757/780. Calculate the common denominator of 4/(-22) - (-1)/396*-3525 and n. 12 Let u = -113/7 - 19/14. Find the common denominator of u and 15/19. 38 Let b(u) = -3*u**2 - 64*u - 18. What is the smallest common multiple of 29 and b(-17)? 203 Suppose r = m + 9, 0 = -2*r - 3*m - 11 + 4. What is the lowest common multiple of r and 1? 4 Let n(p) = -p**3 + 11*p**2 - 3*p + 1. What is the lowest common multiple of n(9) and 2? 136 Suppose 2*x = 6*x. Let p = 1 + x. Let l(g) = -g**3 - 46*g**2 + 94*g - 88. Calculate the least common multiple of l(-48) and p. 8 Calculate the common denominator of 33/98 and (-408)/(-44)*4/(-16). 1078 Suppose 5*a + 7 = 7*a - l, 5*a - l - 25 = 0. What is the least common multiple of 9 and a? 18 Let r = 10553/8 - 1324. Let b = 667803/605836 + -3/12364. Let w = 1097/294 + b. Find the common denominator of r and w. 24 Let a(l) = 11*l**3 + l. Suppose 3*o + 9 - 2 = 4*n, 4 = n - 3*o. Calculate the smallest common multiple of ((-2)/(-6))/((-2)/(-84)) and a(n). 84 Let w = -50 + 51. What is the smallest common multiple of (9/27)/(w/18) and 8? 24 Let z = 18 - -3. Let a = 67 - z. What is the common denominator of a and 1/7 - (-215)/(-280)? 8 Let p(u) = -u - 3. Let s be p(-7). Suppose 5*x - 1 = -s*n, -7 + 2 = -2*n - x. What is the lowest common multiple of 2 and n? 4 Let k be (-22867)/78 + 0/(-2). Let l = 859/3 + k. What is the common denominator of l and 19/3? 6 Let y = 3 + -12. Let n(b) = -b**2 - 8*b + 19. What is the lowest common multiple of n(y) and 7? 70 Let x(l) = -10*l - 19. Let u be x(-8). Let s = u + -90. Find the common denominator of -5/6 and s/(-10) + (-5)/(-20). 60 Let x(q) = -q**3 + 6*q**2 - 3*q - 6. Calculate the least common multiple of 1/(6*1/12)*2 and x(5). 4 Let f(i) = -12*i**3 - i**2 + 8*i + 10. Let b be f(-10). Let y = b + -970073/82. Find the common denominator of (-162)/32 + 2 + 0 and y. 656 Suppose 0 = -41*q + 35*q. Suppose -25*l + 17*l + 96 = q. Calculate the least common multiple of 28 and l. 84 Suppose -3*v = p - 6*p - 65, -2*p - 80 = -3*v. Calculate the lowest common multiple of 50 and v. 150 Suppose -3*l - 16 - 8 = 0. Let x = 1/392 - 1867/1960. What is the common denominator of (-2)/l + 0 + (-209)/(-20) and x? 20 Suppose -114 = 3*f + 5*t, 3*t + 57 + 18 = -2*f. Suppose u + 2*x - 30 = -x, 0 = -3*u - 3*x + 78. What is the smallest common multiple of 6 and u/(f/(-6) + -4)? 48 Let x(z) = -86*z - 4. Let a be x(-1). Let p = a + -76. Calculate the least common multiple of p and 16. 48 Let d = -261 + 273. Let v be (1*-3)/((-9)/(-6)). Calculate the smallest common multiple of ((-2)/v)/((-1)/(-22)) and d. 132 Suppose -14*i = -5*k - 16*i + 110, 0 = -k - i + 25. Suppose -3*u = -w - 0*u + 5, 3*u = 5*w - 61. What is the smallest common multiple of w and k? 140 Let b = -9 - -17. Suppose 0 - b = 2*q. Let h = q + 15. Calculate the least common multiple of 6 and h. 66 Let y = 105423 + -18976187/180. Calculate the common denominator of 29/140 and y. 1260 Let q be (4003/(-11))/(-1 - -1 - -77). Let h = q - 1/847. Find the common denominator of h and 23/93. 1023 Suppose -33 = -k + 2*c + 2*c, 3*k + 3*c = 114. Let f = k + -17. What is the least common multiple of 16 and f? 80 Let v be -9*((-4)/3)/(-2). What is the common denominator of 5/7 and (-2)/v + (-1441)/(-330)? 70 Calculate the common denominator of (-114)/15*(-390)/(-416) and (2/24)/(2/106). 24 Let v(f) = 2*f**2 + 5*f - 2. Let i be (-35)/15 - 6/9. What is the least common multiple of v(i) and 147? 147 Calculate the least common multiple of 50 and (-39)/(-3) + (-12 - -14) - 5. 50 Find the common denominator of -37/377 and ((-10)/351)/(-3 - 105/(-36)). 3393 Suppose -2*p + 263 = -5*m, -2*m + 5*p - 102 = p. Let a = m - -101. What is the lowest common multiple of 12 and a? 48 Let p = 839 - 703. What is the lowest common multiple of p and 68? 136 What is the common denominator of -149/120 and -33 + 24 + (-389)/(-60)? 120 Let g be -6*(1 - -2)/(-3). Suppose 4*o + 1170 = g*o. Let u = o + -2273/4. What is the common denominator of u and 47/9? 36 Let f(o) = 2*o - 20. Let m be f(15). Suppos
{ "pile_set_name": "DM Mathematics" }
e -2.7*-4. 10.8 Work out 28 * 77. 2156 What is 0.21 times 6? 1.26 What is the product of 0.4 and -0.058? -0.0232 What is -11 times 2? -22 0.13 times 439 57.07 Calculate -0.05*-0.211. 0.01055 What is -0.221 times 2? -0.442 Calculate -2*149. -298 What is the product of -0.4 and 0.08? -0.032 Work out 577 * -0.1. -57.7 Multiply -3050 and 6. -18300 Multiply -2 and -83. 166 What is 2 times -0.54? -1.08 -3 * 30.9 -92.7 Multiply -105 and 0.2. -21 -29*129 -3741 -2.9 times 0.3 -0.87 Multiply -4 and 0.414. -1.656 Calculate -721*-12. 8652 2312*0.3 693.6 Product of 343 and 0.1. 34.3 -0.2 * 90 -18 Calculate -0.16*-2. 0.32 -0.108*0.1 -0.0108 Product of 0.01 and 0.77. 0.0077 What is the product of -0.078 and 5? -0.39 -213 * 0.4 -85.2 32*-30 -960 Calculate 4.5*63. 283.5 2396 * -0.2 -479.2 -52.9 * -0.1 5.29 -2416 times 0.1 -241.6 1 times -146 -146 Calculate -457*-7. 3199 What is the product of 0.2 and -0.0634? -0.01268 Calculate -8*12. -96 Product of 0.4 and 134. 53.6 93*3 279 0.0764 times 0.2 0.01528 -0.73 times -529 386.17 What is -58 times -0.5? 29 0.3*144 43.2 0.04 times 146 5.84 What is the product of -5.3 and 9? -47.7 -5*9.8 -49 Multiply 0.3 and -5. -1.5 Calculate -277*0.1. -27.7 Product of 2 and -91. -182 Work out 0.2 * -0.95. -0.19 Work out -0.22 * 0.456. -0.10032 Calculate 593*-0.2. -118.6 What is the product of -1.5 and 0.2? -0.3 Product of 142 and 20. 2840 Work out -1.4 * 18. -25.2 -2.2 * 4 -8.8 Multiply 0.2 and -313. -62.6 Work out 28 * -1. -28 -1445 times 0.5 -722.5 Product of -4 and -164. 656 Multiply -300 and -4. 1200 Product of 7.82 and -2. -15.64 1.97 times -0.1 -0.197 Multiply 2.9 and -2.51. -7.279 Product of -9 and -51. 459 Product of -0.02 and 0.02. -0.0004 What is the product of 164 and -0.03? -4.92 Calculate -7*-0.096. 0.672 What is the product of -1326 and 0.8? -1060.8 Calculate 0.1*-41.54. -4.154 Calculate 0*0.601. 0 What is 7994 times -0.1? -799.4 Multiply -0.5 and 801.6. -400.8 What is -1.83 times 4? -7.32 Calculate -0.45*-0.037. 0.01665 What is the product of 121 and -0.05? -6.05 -0.1*562 -56.2 993.3*2 1986.6 1.759*-0.5 -0.8795 What is the product of 0.05 and 56? 2.8 18 times 320 5760 Product of -9 and 13. -117 Calculate 1.48*2. 2.96 158.41 times 5 792.05 0.091 times -5 -0.455 Multiply 5 and 0.029. 0.145 What is 49 times 0.3? 14.7 -0.2 * 220 -44 Work out -0.5315 * 0. 0 -1.17 * 0.4 -0.468 What is the product of -10 and 0.04? -0.4 Multiply -51.2 and -4. 204.8 Product of -5 and 25. -125 Product of 21 and -3. -63 What is the product of -0.249 and 0.24? -0.05976 Product of -36089 and 0.1. -3608.9 What is -153.2 times 3? -459.6 What is -0.3 times 0.19? -0.057 Work out -5.95 * -0.1. 0.595 Multiply 2 and -0.2699. -0.5398 What is the product of -4 and -391? 1564 -0.06 times -115 6.9 0.04 times 24 0.96 -0.0058 times -0.36 0.002088 -0.4 times -11 4.4 What is the product of 0.07 and 0? 0 What is 123 times -0.2? -24.6 Multiply 62 and 0.2. 12.4 14*-5 -70 -6269 times 4 -25076 27 times 64 1728 -1.591*3 -4.773 Multiply -0.279 and 0.24. -0.06696 -1.31 times -0.4 0.524 Product of -0.003 and 226. -0.678 Multiply -0.4 and -0.063. 0.0252 Calculate -0.1*-177.2. 17.72 Calculate 394*0.1. 39.4 Work out 5.4 * 0.18. 0.972 Product of -3.6 and -29. 104.4 5 * 205 1025 What is 166.2 times -0.9? -149.58 Calculate -0.5*0.04. -0.02 -5.57*-4 22.28 Multiply -0.032 and 0.3. -0.0096 What is the product of 10 and -18? -180 0.3 * -1875 -562.5 What is the product of 0.3 and 0.0121? 0.00363 What is 32 times 2.9? 92.8 -98 times 4 -392 What is 350 times -0.16? -56 -4*69.26 -277.04 7 times 340 2380 Product of -26 and -0.0167. 0.4342 Product of -19528 and -5. 97640 2 times 0.49 0.98 Multiply -4 and -187. 748 Work out -0.5 * 265. -132.5 Work out -2 * 229. -458 What is -0.044 times -4? 0.176 -510 times 60 -30600 Calculate -10*-28. 280 What is -0.3 times 0.0223? -0.00669 Work out 492 * 0.16. 78.72 Work out 7 * -0.4529. -3.1703 Multiply 25844 and 0.2. 5168.8 -38.3 times -0.13 4.979 -0.2*85 -17 Calculate 0.46*-5. -2.3 What is the product of 4 and -0.7015? -2.806 Product of -0.1 and 9. -0.9 Product of 136 and -0.29. -39.44 Calculate -20*-52. 1040 Work out 1 * -893. -893 What is the product of -0.3 and 6720? -2016 Work out -946 * 0.2. -189.2 Multiply -1 and 0.37. -0.37 What is 1.387 times 0.4? 0.5548 Multiply 187 and 3. 561 Multiply 0 and 1.53. 0 Calculate -0.4*139. -55.6 -0.3*-0.2 0.06 Calculate -115*-43. 4945 What is 0.08 times 10? 0.8 Multiply -3.97 and -5. 19.85 Product of 56 and 2. 112 Product of 135 and 13. 1755 Work out 6.21 * -0.02. -0.1242 Product of 1079 and -1. -1079 1*-37 -37 Work out 0.00402 * 0.1. 0.000402 Product of 497 and 0.1. 49.7 Multiply -829 and -0.5. 414.5 5.4 times -3 -16.2 What is the product of -3 and -65.8? 197.4 Calculate 0.5*-0.09. -0.045 Product of 0.1 and -0.01645. -0.001645 What is 0.4 times 0.249? 0.0996 2079 times 3 6237 What is the product of 15 and -1.2? -18 Work out -0.5 * -0.56. 0.28 Calculate 0.06*16. 0.96 What is the product of -0.5 and 0.645? -0.3225 -6.25 times -2 12.5 What is 22 times 1.5? 33 What is the product of 0.5 and 78? 39 -0.16*-6.4 1.024 Multiply -12.87 and -0.7. 9.009 Calculate -1.04*-197. 204.88 -0.2*739 -147.8 What is 123.6 times 5? 618 9 * 1516 13644 Work out 0.173 * 0.5. 0.0865 Multiply -37 and 5. -185 What is the product of 0.06 and 1.2? 0.072 -29 times 0.1 -2.9 What is 2 times 0.128? 0.256 What is the product of -100 and 23? -2300 Work out -0.4 * 216. -86.4 What is -0.1 times -22? 2.2 -0.31 times -0.04 0.0124 -11.9 * -2 23.8 Multiply -211 and -4. 844 -9.22 times -9 82.98 Product of -4 and 21. -84 -46 * 123 -5658 Calculate 8*-1.61. -12.88 What is -0.5 times -1.36? 0.68 Calculate -28.6*106. -3031.6 Product of -407 and -0.2. 81.4 Calculate 5*0.036. 0.18 0.2 * -0.47 -0.094 Product of -144 and 0.05. -7.2 What is the product of 34 and 16? 544 -152 times 0.5 -76 -6 times 0.087 -0.522 7.34 times 46 337.64 0.428 times -0.3 -0.1284 Work out 0.011 * 13. 0.143 1369 times 0.5 684.5 What is the product of -281 and 5? -1405 -0.07 times -284 19.88 What is the product of -2.5 and 3.65? -9.125 Product of 0.7 and -0.59. -0.413 0.132 times 5 0.66 -709 times 4 -2836 -49.2*4 -196.8 What is the product of 134 and 5.8? 777.2 2695 times 1 2695 Multiply -0.0398 and 5. -0.199 -1 * 0.072 -0.072 What is the product of -522 and -3? 1566 What is the product of -0.2 and 279? -55.8 Multiply -1 and -6.2. 6.2 What is the product of 0.1 and 381? 38.1 Calculate 13*1487. 19331 Product of -84.4 and 2. -168.8 What is the product of 0.2 and 5? 1 -3.5 times 4 -14 What is 12 times 45? 540 0.61 * -0.6 -0.366 Multiply -0.4 and -47. 18.8 Multiply -0.052 and -0.3. 0.0156 846*5 4230 -1955 times 0.3 -586.5 What is the product of -0.04 and -0.241? 0.00964 Calculate -0.25*-11.5. 2.875 Work out -76.4 * 0.3. -22.92 -4002 * 4 -16008 Calculate -5084*0.4. -2033.6 Work out 0.16 * 0.4. 0.064 What is -18 times -0.05? 0.9 What is the product of 0.02 and 0.3? 0.006 Multiply -376.6 and -2. 753.2 -150 times 0.03 -4.5 Work out 0.03 * -12. -0.36 Calculate -0.4*-13. 5.2 -0.4 times 75 -30 Product of -4 and 0.11. -0.44 What is -0.067 times -0.1? 0.0067 Work out 0.4 * -0.039. -0.0156 What is 34 times -200? -6800 -0.96*0.07 -0.0672 1.87 times 0.5 0.935 Product of -2.06 and 1.2. -2.472 Work out 0.1 * 0.055. 0.0055 -7316 times 0.3 -2194.8 -0.05 times -1.229 0.06145 Multiply -4 and -0.62. 2.48 Calculate -0.5*7. -3.5 0.0222*-34 -0.7548 -76 times -7 532 -0.08 * -29 2.32 -0.3 * 290 -87 0.4*122 48.8 Product of -5711 and 2. -11422 0*0.0248 0 0.073*16.2 1.1826 What is the product of 0.3 and -3.844? -1.1532 What is the product of -3.97 and -4? 15.88 Multiply -4 and -16. 64 Work out 11 * 1702. 18722 -5.4 * -27 145.8 Product of 0.1 and 673. 67.3 What is -402 times -1? 402 -0.2589 * 0.1 -0.02589 Calculate -48.8*-0.02. 0.976 Multiply 7 and -0.43. -3.01 Work out 21 * 0.49. 10.29 -1 times -0.14 0.14 What is -4 times 86? -344 Multiply -0.003 and 0. 0 Multiply -7 and 56. -392 What is the product of 0.2 and -194? -38.8 Multiply 3.6 and -2. -7.2 Product of -0.2 and 0.0296. -0.00592 -1041 times -2 2082 0.12 times 103.1 12.372 What is -129 times 0.5? -64.5 What is -0.5 times 0.0548? -0.0274 -54 times 43 -2322 -96.9 * -0.3 29.07 2*23 46 Calculate -0.7*-1. 0.7 Product of 0.35 and 9. 3.15 0.5 times -0.276 -0.138 -3 * -
{ "pile_set_name": "DM Mathematics" }
*n + 6. Let o be d(-12). Let u = o + 27. What is the lowest common multiple of x and u? 72 Suppose 7 = 3*r + 5*w, -4*r + 6*w + 19 = 3*w. Suppose 2*g - 16 = 5*z, g + 3*z = r*g - 42. What is the lowest common multiple of g and (-2)/5*1 + (-82)/(-5)? 144 Let s = -2542795 - -28010490/11. Let a = -3616 + s. What is the common denominator of a and 14? 11 Let k = -3097812 + 34134789/11. Let d = k - 5355. Calculate the common denominator of 19/4 and d. 44 Let r = 4049 - 93053/23. Let f = r - 2287/46. What is the common denominator of f and -169/60? 60 Let f(m) = m**3 + 4*m**2 + m - 6. Suppose -5*w - 8 = 7. Let r be f(w). Suppose r = 4*h - 3*h - 11. Calculate the smallest common multiple of 5 and h. 55 Let t(d) = -d**2 + 8*d + 1. Let z be t(7). Let k(n) = -n**2 + 8*n - 3. Let o be k(z). Calculate the common denominator of -30/11 and ((-143)/14 + 1)/o. 154 Calculate the common denominator of 3184/(-192) + 5 + (-1)/(-3) and -71/302. 604 Let x = -157/33 - -111557/24024. Let a = -1/91 + x. What is the common denominator of a and 57/14? 56 Find the common denominator of (-13930)/(-47500) + 22/(-209) and 73/20. 500 Suppose 3*t + 2*a - 13 = 0, -5*a + 29 = 7*t - 3*t. Calculate the lowest common multiple of 20 and -18 - -37 - (0 + t). 180 Let t(k) = k + 1. Let x be t(1). Suppose 3 = x*m - 1. Suppose 5*a + 5*c = 125, a + c + m*c = 31. What is the least common multiple of 20 and a? 220 Let o = 26 + -41. Let g = o - -39. What is the smallest common multiple of 24 and g? 24 Let d be (-15)/20*-3*16. What is the least common multiple of (-2)/80*-4*d*5 and 30? 90 Calculate the common denominator of (-1 - (-77)/(-18)) + 63/(-21) and 11/54. 54 Let d = 64 - 37. Let w = 33 - d. What is the lowest common multiple of 15 and w? 30 Let x be 6/33 - 6396/(-33). Let u = -1213 - -3592/3. Calculate the common denominator of x/(-40) + 4/(-10) and u. 12 What is the common denominator of 55/18 and 74/(-144) + 56/126? 72 Let d = 616 - 1159/2. Let x be (-373)/(-770) + (-1)/2. Let z = -2133/770 + x. What is the common denominator of d and z? 14 Let m(u) = -u**3 + 8*u**2 + 10*u + 10. What is the least common multiple of 45 and m(5)? 135 Suppose 4*b - 3*k - 355 = 0, -4*k + 84 = 2*b - 88. What is the lowest common multiple of 4 and b? 88 Suppose 0 = -4*v + 3*v + 40. Find the common denominator of -29/11 and 1*515/v + -2. 88 Let c = 0 - -2. Suppose -4*n + 4 = -c*z, -8*z + 18 = 4*n - 3*z. Suppose -n*h = h - 6. Calculate the lowest common multiple of 18 and h. 18 Let b be 1 + 18159 - 1/((-1)/(-3)). Let d = -326683/18 + b. Find the common denominator of d and -91/4. 36 Suppose 5*y = 4*a + 6932, 11*y - 5*a + 5562 = 15*y. Calculate the least common multiple of 2 and y. 1388 Let p = -195 + 411. Calculate the lowest common multiple of 48 and p. 432 Let w(o) be the first derivative of o**4/4 + 3*o**3 - 9*o**2/2 + 2*o - 5. Let l be w(-10). Find the common denominator of (-17)/l*(-224)/40 and -43/4. 20 Let z be 4/8*18*10. What is the common denominator of 52/9 and (-36)/z + 444/10? 9 Let g = 7/408 + 325/16728. Calculate the common denominator of 97/30 and g. 1230 Calculate the lowest common multiple of 14/77 + (1444/44)/1 and 54. 594 Suppose 106 + 78 = 3*a - 2*x, -128 = -2*a + 4*x. Let w(s) = -7*s**2 - 112*s + 262. What is the least common multiple of w(-18) and a? 60 Let s be (-2)/2 + (-520040)/(-128). Let x = s + -4064. Calculate the common denominator of -3/38 and x. 304 Suppose 7*v - 3*x - 109 = 2*v, -4*v + 92 = -4*x. Calculate the least common multiple of v and 64. 320 Suppose -2*g - 7 = -m, 2*g + 4 = -m - 5. Let o be -4*(18/g - -4). Suppose -4*u + 9*u + 2*y - 50 = 0, o*y = 0. What is the lowest common multiple of u and 5? 10 Let p = 657/328 + 19/492. What is the common denominator of p and -35/54? 216 Let o = -889/2 + 3946/9. Calculate the common denominator of o and 242/(-56) - (-1)/4. 126 Let b = 19 + -22. What is the common denominator of b*(-4 - (-275)/15) and -15/7? 7 Let l = 8 - 0. Let s = -19 + 22. Let v(j) = 6*j - 4. What is the least common multiple of l and v(s)? 56 Suppose 0 = 3621*h - 3616*h - 480. Calculate the smallest common multiple of h and 12. 96 Let v = -30020 - -2161493/72. Find the common denominator of v and 15/64. 576 Suppose 4*o = -g - 15, -2*o + 30 = -2*g + 3*o. Suppose -2*x - 132 = 3*i - 398, -4*x - 4*i + 528 = 0. What is the common denominator of 61/3 and g/10 - x/(-8)? 12 Let s(c) = 8*c**3. Let h(d) = d. Let b be h(5). Suppose b*m + 1 = 3*a, 0 = -0*m - 3*m - 5*a + 13. Calculate the smallest common multiple of 20 and s(m). 40 Let t = 5343 - 2861. Let w = -49687/20 + t. Let d = -2/637 - 52867/1274. Find the common denominator of w and d. 20 Let i = -8564/7 - -1218. Let r = 1337/3 - 456. What is the common denominator of r and i? 21 Suppose -2*f + 10 = -4*j, -4*j + f = -j + 9. What is the least common multiple of 26 and (-19 - -1)/(6/j)? 156 Suppose -12 = -g + 3*l + 2*l, 4*g - 16 = 4*l. What is the least common multiple of 2 and (-3)/((-12)/56) - -2*g? 18 Calculate the smallest common multiple of 10 and 1 - (9 - 504/7). 320 Let u = -19913/16440 - -2/685. Calculate the common denominator of u and 59/28. 168 Suppose -10*c = -8*c - 132. What is the smallest common multiple of c and 54? 594 Let x(c) be the first derivative of -3/2*c**2 - 7 + c. What is the lowest common multiple of 11 and x(-1)? 44 Let b = 5520/421 - 1737821/138930. Find the common denominator of 67/154 and b. 2310 Suppose 3*b + 4*v = 36, 3*b = v - 3*v + 30. Let i = 1 - -1. Calculate the lowest common multiple of i and b. 8 Let f(h) = -h**2 - 4*h + 1. Let u be f(-3). Suppose 32 = -u*v + 8*v. Calculate the lowest common multiple of 10 and v. 40 Let k = -24 + 28. Suppose -71 = -k*y - f, -3*y - y + 70 = 2*f. Calculate the least common multiple of 12 and y. 36 Suppose 3*s + 51 = 3*p + 6*s, -20 = -4*s. Calculate the common denominator of 2/(4/7) + 1 and p. 2 Suppose -20 = -4*m + 172. Calculate the smallest common multiple of 80 and m. 240 Let i = 412635 - 190637219/462. Find the common denominator of i and 47/4. 924 Let x = -728 - -737. Calculate the smallest common multiple of x and 9. 9 Let n = 3439/78 - 389/13. What is the common denominator of n and 17/4? 12 Suppose 3 = -14*o + 199. Suppose 6*d = -0*d + 24. Calculate the least common multiple of o and d. 28 Let z be -3*(-3)/(-18)*(1 + -1). Let q be 4/(5/((-15)/(-6))). Suppose -q*x + 7*x - 80 = z. What is the lowest common multiple of 4 and x? 16 Suppose 0*x + 14 = x + 3*z, 28 = 4*x + 5*z. Calculate the smallest common multiple of (45/x)/(6/8) and 16. 240 Let g(q) = q + 4. Let u(x) = -x**3 - 11*x**2 + 13*x + 10. Let n be u(-12). What is the smallest common multiple of g(n) and 20? 20 Let i = -678 + 732. What is the least common multiple of i and 33? 594 Calculate the lowest common multiple of 1/(-1 - (1302/(-324) - -3)) and 18. 54 Calculate the smallest common multiple of 676/6 - (-5 - (-102)/18) and 22. 1232 Let v(d) be the first derivative of d**2 - 2*d - 38. Calculate the least common multiple of 33 and v(7). 132 What is the common denominator of -3*1 - (-483)/230 and 31/22? 110 Suppose 2*t = 7*s - 3*s - 72, -3*s + 54 = -3*t. Suppose -v - u = 57, 2*v - 5*u + 120 = 34. What is the lowest common multiple of s and v/(-5) - -1 - 20/(-50)? 36 Let q = -30011/9 - -3329. What is the common denominator of q and 61/114? 342 Suppose 4*z - 7 = 1. Let l(m) = -m**3 + 7*m**2 - 8*m + 6. Let p be l(6). Calculate the least common multiple of 43/4 + p/8 and z. 10 Let q be -3*231/(-9) - 3. Suppose 4*t + q = 270. Let g = t - 252/5. Calculate the common denominator of 41/19 and g. 95 Suppose -5*x - x = 48. Find the common denominator of 57/(-6) - 1/x and -58/21. 168 Suppose -q + 4711296 = -5*q. Let f = q - -9442737/8. Let p = f - 2515. Calculate the common denominator of p and -101/2. 8 Suppose -4*o - 14 = -5*m, -8*m - 2*o + 32 = -4*m. Let y(j) = 4*j + 4. What is the least common multiple of y(3) and m? 48 Let h = -117 - -265. What is the least common multiple of 3 and h? 444 Let t(o) = 1 - 3*o**2 - 8*o + 2*o**2 + 18 - 6. Let a be t(-9). Calculate the smallest common multiple of 10 and (-1 + 5)/(2/a). 40 Let z = -626 - -886. What is the smallest common multiple of 10 and z? 260 Suppose 27 - 77 = -5*i. Let j = 13 - 9. Calculate the lowest common multiple of i and j. 20 Let
{ "pile_set_name": "DM Mathematics" }
Determine t(x(p)). -7717284*p**2 Let j(a) = 41959181*a. Let s(r) = -3*r**2. Determine j(s(n)). -125877543*n**2 Let g(c) = 10*c**2 - 1. Let p(l) = -51*l + 332. Give p(g(i)). -510*i**2 + 383 Let n(r) = 41*r**2. Let c(g) = -98*g - 3. Let h(p) = -23*p - 1. Let a(q) = 4*c(q) - 18*h(q). Let i(b) = -3*b - 1. Let z(o) = -a(o) - 6*i(o). Determine n(z(s)). 656*s**2 Let a(o) = -624714*o + 624714*o + 15*o**2 + 2*o**2. Let c(d) = -22*d**2. What is a(c(y))? 8228*y**4 Let s(m) = 3*m - 213 - 189 + 473 - 4*m. Let l(j) = 13*j. Calculate l(s(y)). -13*y + 923 Let k(j) = 132*j**2 - 275*j**2 + 141*j**2 + 22*j. Let t(l) = 35*l. Give k(t(y)). -2450*y**2 + 770*y Let i(b) = 7*b**2. Let d(m) = 155 + 134 + 430*m**2 + m + m - 289. Give d(i(q)). 21070*q**4 + 14*q**2 Let i(z) = -1. Let y(q) = -q + 18. Let x(j) = -4*i(j) - y(j). Let a(w) be the third derivative of w**4/8 - 304*w**2. What is a(x(g))? 3*g - 42 Let q(i) = 2*i. Let d be -5 + -5 + (10 - -2). Let g(p) = 12 - 12 - 21*p**d - 4*p. Let b(s) = s. Let f(r) = 4*b(r) + g(r). Give q(f(t)). -42*t**2 Let u(m) = 446*m. Let w(p) = 255988*p. What is w(u(d))? 114170648*d Let t(c) = 2*c**2 - 294 + 5*c**2 - 278 - 5*c**2 + 587. Let a(w) = w - 2. Let b(p) = -p + 1. Let z(v) = a(v) + 2*b(v). Calculate z(t(s)). -2*s**2 - 15 Let g(y) = -57*y**2 - 78*y - 819. Let u(m) = 3*m**2 + 4*m + 42. Let w(n) = -6*g(n) - 117*u(n). Let b(c) = 5*c - 5*c + c**2. What is b(w(f))? 81*f**4 Let n(i) = -3 + 4 - i - 1. Let t(y) = 196*y**2. Let l(x) = -39672*x**2. Let q(r) = -3*l(r) - 608*t(r). Calculate n(q(p)). 152*p**2 Let s(r) = -2*r**2. Let l(g) = 8*g - 10. Let q(m) = 23545*m + 20. Let b(x) = -2*l(x) - q(x). Determine b(s(w)). 47122*w**2 Let g be (-2388)/(-26) - (-1)/((-52)/(-8)). Let k(u) = -43*u - 48*u + g*u. Let t(s) = 88*s**2. Determine k(t(l)). 88*l**2 Let m(t) = -15*t - 14. Let i(g) be the third derivative of g**5/60 + 281*g**2 + 3. What is i(m(y))? 225*y**2 + 420*y + 196 Let u(t) = 2*t**2. Let o(c) = -8580*c + 3659 - 3659 + 628*c. Give o(u(z)). -15904*z**2 Let u(q) be the third derivative of 0*q + 1/24*q**4 - 101*q**2 - 7/2*q**3 + 0. Let t(s) = -s**2. Calculate u(t(d)). -d**2 - 21 Let l(y) be the first derivative of -8*y**3/3 + 72*y + 4229. Let q(t) = -2*t. Give q(l(a)). 16*a**2 - 144 Let y(f) = -2*f**2 + 405. Let z(l) = -18*l + 2. Let b(t) = -t**2 - 63*t + 7. Let a(r) = 2*b(r) - 7*z(r). What is y(a(d))? -8*d**4 + 405 Let d(f) = -4*f. Let z(j) = 1139*j**2 - 3*j + 6. Let b(i) = -1135*i**2 + 2*i - 4. Let y(p) = -6*b(p) - 4*z(p). Calculate d(y(v)). -9016*v**2 Let s(i) = 35*i**2. Let o(q) = 10*q**2 - 3*q - 3. Let x(b) = -6*b**2 + 2*b + 2. Let t be (-2 - (1 + -6)) + -5. Let c(a) = t*o(a) - 3*x(a). Calculate s(c(r)). 140*r**4 Let w(t) = -17*t + 1. Let m(n) be the first derivative of -n**6/180 - 19*n**3/3 + 2*n - 124. Let v(q) be the third derivative of m(q). Determine w(v(k)). 34*k**2 + 1 Let h(k) = 444*k. Let b(w) = -16*w - 2569. Give h(b(d)). -7104*d - 1140636 Let j(w) be the second derivative of 14*w**4/3 + w. Suppose 0 = 5*q - 240 - 550. Let s(p) = 79*p + 80*p - q*p. What is s(j(d))? 56*d**2 Let v be -8 + (-96)/(-20)*115/69. Let y(t) be the first derivative of -8 - 14/3*t**3 + v*t**2 + 0*t. Let l(d) = 2*d**2. Calculate y(l(c)). -56*c**4 Let f(h) = 1 + 1 + 7583*h**2 - 15158*h**2 + 7577*h**2. Let q(b) = 12*b**2. Give f(q(k)). 288*k**4 + 2 Let k(w) = 5906*w**2 + 70*w - 5. Let a(u) = 5905*u**2 + 84*u - 6. Let r(s) = -5*a(s) + 6*k(s). Let p(y) = 2*y**2. Give p(r(c)). 69879842*c**4 Suppose 0 = 4*w + k - 44, w + 2*k + 3 = 14. Let l(r) be the first derivative of -16 - 3*r**2 + 12*r**2 - w*r**2. Let v(o) = -4*o**2. Calculate v(l(x)). -64*x**2 Let x(d) = -12*d**2 + 3*d. Let t(v) be the second derivative of v**5/20 + 197*v**2/2 - 230*v. Let y(i) be the first derivative of t(i). Give y(x(h)). 432*h**4 - 216*h**3 + 27*h**2 Let b(m) = 475556*m. Let g(s) = 77*s + 5. Determine b(g(k)). 36617812*k + 2377780 Let g(t) = -796*t. Let c(l) = -40*l - 160. Calculate g(c(n)). 31840*n + 127360 Let i(u) = 2481*u**2. Let t(q) = -80*q**2 - 3*q + 6. Let o(f) = 347*f**2 + 13*f - 26. Let k(r) = 6*o(r) + 26*t(r). Determine i(k(n)). 9924*n**4 Let x(h) = -4*h**2. Let w = -3401 - -3406. Let a(b) be the third derivative of 0 - 1/30*b**w + 0*b + 0*b**3 + 0*b**4 + 17*b**2. What is a(x(o))? -32*o**4 Let w(q) = 2437*q - 7305*q + 2431*q + 196 + 2431*q. Let n(a) = 2*a**2. Give w(n(r)). -12*r**2 + 196 Let c(a) = 2*a + a - 4*a. Let v(b) = 167*b - 6. Let p(x) = -37241*x + 1336. Let d(f) = 3*p(f) + 668*v(f). Give c(d(m)). 167*m Let w(d) = -d**2. Let t(v) = -136632368*v. Give t(w(s)). 136632368*s**2 Let t(s) be the third derivative of s**4/24 + 2*s**2. Let r be (1 + -1)/((-17)/(85/(-10))). Let v(g) = -5*g**2 + 17*g**2 + r*g**2 + 6*g**2. Determine t(v(y)). 18*y**2 Let u(l) = -314*l. Let h(j) = j - 7. Calculate h(u(v)). -314*v - 7 Let y(r) = -6854469*r. Let i(b) = -3*b**2. Give i(y(n)). -140951235815883*n**2 Let g(p) = -7*p + p + 26*p - 72 + 65. Let l(c) = -11*c + 4. Let h(x) = -4*g(x) - 7*l(x). Let z(d) = -72*d**2. Calculate h(z(w)). 216*w**2 Let u(i) = -2*i + 3. Let f(x) = -1649786 + 1649786 - 25*x. Give f(u(d)). 50*d - 75 Let c(b) = -48*b + 4. Let w(i) = 49*i - 3. Let f(d) = 3*c(d) + 4*w(d). Let q(v) = -177 + 177 + 2*v. Give f(q(m)). 104*m Let o(v) = -1154*v**2 - 1. Let g(q) be the third derivative of q**4/8 + 4291*q**2. Determine o(g(j)). -10386*j**2 - 1 Let f(l) = -131*l. Let t(j) = 2558*j**2 + 15*j - 1. Calculate t(f(o)). 43897838*o**2 - 1965*o - 1 Let q(t) = 2*t. Let a(d) = 50611368*d. Determine q(a(r)). 101222736*r Suppose 0 = 5*j + 20, -2*w + 0*j = -j - 8. Let t(m) = -147*m**2 + 64*m**2 + 79*m**w. Let r(u) = 23*u. What is t(r(p))? -2116*p**2 Let j(n) = -2*n**2. Let c(x) = -3169691*x. Determine c(j(z)). 6339382*z**2 Let o(t) = 280054018*t. Let b(d) = -2*d. Calculate b(o(q)). -560108036*q Let f(s) = 1009*s**2. Let b(r) be the third derivative of -r**5/30 + 164*r**2. What is b(f(h))? -2036162*h**4 Let g(f) be the second derivative of -f**4/12 - 2*f. Let a(s) be the first derivative of -12*s**2 + 24072. What is g(a(u))? -576*u**2 Let l(s) = 2 - 20645*s**2 - 20706*s**2 + 41448*s**2 - 2. Let c(x) = -x**2 + 6*x. Determine c(l(m)). -9409*m**4 + 582*m**2 Let b(t) = -8171*t. Let p(g) = -42*g + 126. Determine p(b(n)). 343182*n + 126 Let o(b) = 0*b**2 + 3055 - 1540 - 1515 - 27*b**2. Let d(f) = -147*f**2. Give o(d(k)). -583443*k**4 Let w(y) = 50*y**2 - 11*y + 25. Let u(n) = -17*n**2 + 4*n - 9. Let h(o) = 11*u(o) + 4*w(o). Let s(m) = -5*m**2. Give h(s(p)). 325*p**4 + 1 Let k(q) = 3470203*q. Let w(u) = u. Give w(k(x)). 3470203*x Let m(h) = -143*h - 5. Let u(d) = -49*d**2 - 74*d - 1. Calculate u(m(s)). -1002001*s**2 - 59488*s - 856 Let z(s) = s - 50 - 37 - 20 + 78. Let v(o) = 35*o + 1. Determine v(z(n)). 35*n - 1014 Let f(w) be the second derivative of w**7/2520 - 5*w**4/12 - 3*w**2/2 + w - 22. Let s(z) be the third derivative of f(z). Let y(l) = l - 1. Determine s(y(c)). c**2 - 2*c + 1 Let a(t) = 4867434*t. Let c(p) = 5*p. Calculate a(c(v)). 24337170*v Let g(z) = -23*z**2. Suppose 2*k = -4*y + 3*k + 1649, 2*y - 842 = 4*k. Let q(v) = 207 - 3*v + 204 - y. Give q(g(s)). 69*s**2 Let r(o) = 245*o**2 + 50*o + 25. Let s(u) = 2*u + 1. Let y(g) = -r(g) + 25*s(g). Let j(p) = 5*p**2. Give j(y(w)). 300125*w**4 Let g(i) = -2*i**2. Let s(k) = -6*k - 1505382. Calculate s(g(c)). 12*c**2 - 1505382 Let s(z) = -2*z**2. Let k(c) = 280*c + 245. Let g(r) = 2*r**2 + 17*r - 11. Let u be g(-9). Let l(t) = -t - 1. Let p(w) = u*k(w) - 490*l(w). Give p(s(o)). 140*o**2 Let m(x) = -x - 279. Let p(t) = 9*t**2 + 28*t**2 - 40*t**2. Calculate m(p(v)). 3*v**2 - 279 Let g(w) = 71*w - 138*w + 72*w. Let k(q) = -27*q. Let r(z) = -22*g(z) - 4*k(z). Let h(c) = -18*c. Calculate h(r(i)). 36*i Let z(p) be the third derivative of 0*p + 0*p**3 - 19*p**2 + 0 - 19/24*p**4. Let m(g) = 3*g. Determine z(m(j)). -57*j Let d(b) = -3*b**2. Suppose -3*x - 8 = -7*x. Let v(h) = -16*h**2 - h**x + 13*h**2 - h**2 - 35*h**2. Calculate v(d(q)). -360*q**4 Let t(o) be the first derivative of o**3 - 110907. Let k(q) = -27*q**2 + 5*q. Let b(y) = 13*y**2 - 2*y. Let s(l) = -10*b(l) - 4*k(l). Determine s(t(c)). -198*c**4 Let i(z) = -21*z**2. Suppose -1645*x + 1643*x = -6. Let p(f) = 2*f + 9. Let y(h) = -3. Let r(u) = x*y(u) + p(u). Calculate i(r(n)). -84*n**2 Let s(
{ "pile_set_name": "DM Mathematics" }
(h) = 0. -3, -1 Let r(t) be the first derivative of 2 + 0*t + 0*t**2 + 1/7*t**3. Solve r(n) = 0. 0 Let a(f) be the first derivative of f**5/100 + f**4/30 - 2*f + 1. Let h(i) be the first derivative of a(i). Let h(r) = 0. Calculate r. -2, 0 Let c(k) be the second derivative of -k**8/6720 + k**6/720 - k**4/96 + 4*k**3/3 + 4*k. Let o(a) be the second derivative of c(a). Factor o(z). -(z - 1)**2*(z + 1)**2/4 Let w(g) be the first derivative of -4*g**5/45 - 2*g**4/3 + 44*g**3/27 + 40*g**2/3 - 400*g/9 + 51. Determine r, given that w(r) = 0. -5, 2 Factor -28*t + 3*t**4 - 6*t**3 + 40*t - 3*t**2 + 0*t**2 - 6*t**2 + 12. 3*(t - 2)**2*(t + 1)**2 Solve -1/3 + 0*u**2 + 1/3*u**4 - 2/3*u + 2/3*u**3 = 0 for u. -1, 1 Let h = -90/7 - -464/35. Factor 16/5*w**3 + h*w**4 + 32/5 + 48/5*w**2 + 64/5*w. 2*(w + 2)**4/5 Let d(j) be the third derivative of -j**6/300 + j**4/20 + 2*j**3/15 + 7*j**2. Determine q so that d(q) = 0. -1, 2 Let o = -790/3 + 1727/6. Let p = o - 23. Factor -3/4*q**2 + 0 + p*q. -3*q*(q - 2)/4 Suppose s**3 + 8*s**2 - 13*s**2 + 7*s**2 + s = 0. Calculate s. -1, 0 Let o(c) be the third derivative of -c**9/60480 + c**8/5040 - c**7/1008 + c**6/360 + c**5/15 - 3*c**2. Let b(w) be the third derivative of o(w). Factor b(f). -(f - 2)*(f - 1)**2 Let l be (34 - -1)/(5/(-15)). Let i be l/(-25) + 2/(-10). Determine r so that 3/2*r**3 + 1/2*r**5 + 0 - 3/2*r**i + 0*r - 1/2*r**2 = 0. 0, 1 Let d(t) be the third derivative of t**6/1080 - t**4/18 - 7*t**3/6 - t**2. Let q(o) be the first derivative of d(o). Factor q(b). (b - 2)*(b + 2)/3 Factor -2/15*f**2 + 4/15*f - 2/15. -2*(f - 1)**2/15 Determine w so that -w + 3/2*w**4 + 1/2*w**5 + 0 - 3/2*w**2 + 1/2*w**3 = 0. -2, -1, 0, 1 Let x(b) be the first derivative of 0*b**2 + 0*b - 2/5*b**5 + 4 + 2/3*b**6 - 1/2*b**4 + 0*b**3. Find z, given that x(z) = 0. -1/2, 0, 1 Let z = 146/495 + -3/11. Let a(n) be the second derivative of n + 0*n**3 - 1/30*n**5 + z*n**6 - 1/18*n**4 + 1/63*n**7 + 0 + 0*n**2. Solve a(m) = 0 for m. -1, 0, 1 Find w, given that -9/5*w - 3/5*w**3 - 12/5*w**2 + 0 = 0. -3, -1, 0 Factor 0*o**3 - 2/11*o**5 - 4/11*o**2 + 0 + 4/11*o**4 + 2/11*o. -2*o*(o - 1)**3*(o + 1)/11 Let u(a) be the third derivative of 0*a - 3*a**2 - 1/945*a**7 + 0*a**6 + 0*a**5 + 1/1512*a**8 + 0 + 0*a**3 + 0*a**4. Factor u(q). 2*q**4*(q - 1)/9 Let o be ((-68)/(-119))/((-2)/(-7)). Let s be ((-2)/(-2))/((-2)/(-4)). Factor 2*p - o*p**s - p**2 + p**2. -2*p*(p - 1) Let d(n) be the first derivative of 1/360*n**6 + 1/3*n**3 + 0*n - 1/120*n**5 - 1 + 0*n**4 + 0*n**2. Let z(b) be the third derivative of d(b). Factor z(k). k*(k - 1) Suppose -2*z + 7 + 1 = 0. Suppose -4*q = -2*b - 20, -z*q = -5*b - 0*q - 20. What is l in 0 + 0*l**2 + 1/3*l**4 - 1/3*l**3 + b*l = 0? 0, 1 What is r in -12*r - 21*r**2 - 7*r**2 - 4*r**4 + 0*r**4 - 20*r**3 = 0? -3, -1, 0 Let b = -34 - -39. Let k(t) be the third derivative of 1/30*t**b + 1/3*t**3 + 0 - 3*t**2 + 1/6*t**4 + 0*t. Suppose k(g) = 0. Calculate g. -1 Let s(p) = -p**3 - 6*p**2 - 35*p + 30. Let l(o) = -5*o**2 - 35*o + 30. Let j(a) = -6*l(a) + 5*s(a). Factor j(v). -5*(v - 2)*(v - 1)*(v + 3) Let t(y) = y**2 + 3*y - 18. Let u be t(-6). Factor -4/5*k**3 + u*k + 0*k**2 + 2/5*k**4 + 0. 2*k**3*(k - 2)/5 Factor 4*h**3 - 2*h**3 + 2*h**2 - 2*h + 0 - 4 + 2*h**2. 2*(h - 1)*(h + 1)*(h + 2) Factor 8/7*z - 2/7*z**2 + 0. -2*z*(z - 4)/7 Let u(z) = -10*z**5 + 35*z**4 - 37*z**3 + 13*z**2 + 7*z - 8. Let k(n) = n**3 + n**2 - n - 1. Let i(l) = 3*k(l) - u(l). Factor i(j). 5*(j - 1)**4*(2*j + 1) Suppose 0 = n - 3*x - 2, -14*n - 5*x = -15*n. Suppose -7/2*z**n - 11/3*z**4 + 0*z + 1/6*z**3 + 0 + 1/3*z**2 = 0. Calculate z. -1, -1/3, 0, 2/7 Suppose 6*k**2 + 3/8*k**5 + 9/4*k**4 + 3/4 + 21/4*k**3 + 27/8*k = 0. What is k? -2, -1 Let r(p) be the third derivative of -p**6/50 + 7*p**5/100 + 7*p**4/20 + 3*p**3/10 + 11*p**2. What is t in r(t) = 0? -1, -1/4, 3 Let i(b) be the third derivative of -1/12*b**4 - 1/90*b**5 - 2*b**2 + 0 + 0*b**3 + 0*b. Factor i(q). -2*q*(q + 3)/3 Let h(b) be the first derivative of -7/6*b**4 - 3 + 0*b**2 + 0*b - 4/9*b**3. Factor h(l). -2*l**2*(7*l + 2)/3 Let r be 2/(-8) + 213/(-12). Let i be 22/12 - 3/r. Factor 6*n + i*n**2 - 2*n - 2*n. 2*n*(n + 1) Let x(s) be the third derivative of 0 - 2/5*s**5 - 2/9*s**4 + 4*s**2 - 1/45*s**7 + 0*s**3 + 0*s - 1/6*s**6. Factor x(o). -2*o*(o + 2)**2*(7*o + 2)/3 Let a(x) be the third derivative of x**2 - 4/3*x**3 - 1/30*x**5 + 1/3*x**4 + 0 + 0*x. Factor a(k). -2*(k - 2)**2 Let k(l) be the first derivative of 2*l**5/85 - l**4/34 - 4*l**3/51 + 7. Solve k(d) = 0 for d. -1, 0, 2 Suppose -w = -0*w - 3, -5*r = -w - 12. Let h be r/9 + 1/3. Factor 2/3*i**3 - 1/3*i**4 + 0*i**2 + 1/3 - h*i. -(i - 1)**3*(i + 1)/3 Find z, given that 10 - 298*z**2 + 104*z - 268*z**3 + 30 - 42*z**4 - 136*z = 0. -5, -1, -2/3, 2/7 Suppose -4*d + 24 = -0*d. Let q be 3 - (d/(-9) - -1). Factor 4/9 + 22/9*f + q*f**2. 2*(3*f + 2)*(4*f + 1)/9 Let i = -34 + 40. Let s(w) be the second derivative of -w + 1/15*w**i + 0*w**2 + 1/3*w**3 - 1/10*w**5 - 1/6*w**4 + 0. Let s(h) = 0. What is h? -1, 0, 1 Let h(b) be the first derivative of -b**5/10 + b**4/4 - b**2/2 + b/2 + 6. Factor h(t). -(t - 1)**3*(t + 1)/2 Suppose 16*r - 11*r - 10 = 0. Determine q so that -7*q + 6*q + 28*q - 6 - 12*q**r = 0. 1/4, 2 Let i(m) = -2 - m**2 + 2*m**2 + 2*m + m**2. Let s(o) = -3*o - 11. Let h be s(-3). Let v(c) = -c**3 - 5*c**2 - 5*c + 5. Let g(x) = h*v(x) - 5*i(x). Factor g(y). 2*y**3 Let l(r) be the third derivative of 1/420*r**6 + 0*r + 0 - 4*r**2 + 1/21*r**3 + 1/70*r**5 + 1/28*r**4. Factor l(o). 2*(o + 1)**3/7 Let s(t) be the first derivative of -t**5/210 - t**4/42 - t**3/21 - t**2/2 - 3. Let w(n) be the second derivative of s(n). Determine d so that w(d) = 0. -1 Let y(s) be the second derivative of s**5/300 + s**4/120 + 7*s**2/2 + 8*s. Let c(x) be the first derivative of y(x). Determine t, given that c(t) = 0. -1, 0 Let m be -4*((-21)/6 - -3). Factor 14*l**3 - 17*l + 17*l + 4*l**m - 8*l**4. -2*l**2*(l - 2)*(4*l + 1) Let b(x) = -2 - 2 + 4*x**2 + 2*x + 7*x**3 - 5*x**3. Let t(m) = m - 7. Let g be t(6). Let p(u) = -u**2 - u + 1. Let v(f) = g*b(f) - 4*p(f). Factor v(l). -2*l*(l - 1)*(l + 1) Factor 0 - 2/15*g**3 + 4/15*g + 2/15*g**2. -2*g*(g - 2)*(g + 1)/15 Let r be 6/(-2) - (-10)/2. Factor 3*o**2 - o**2 + 2*o**3 + 0*o**2 + r*o**3 + 2*o**4. 2*o**2*(o + 1)**2 Let t = 20286/355 - -4/71. Let c = t + -56. Factor -c*d + 4/5*d**2 + 2/5. 2*(d - 1)*(2*d - 1)/5 Factor -4*k**5 - 34*k**4 + 2*k**4 - 13*k**2 - 58*k**2 - 36*k - 25*k**2 - 88*k**3. -4*k*(k + 1)**2*(k + 3)**2 Let i = 30 - 0. Factor -30 - 2*w**3 + 2*w**2 + i + 4*w. -2*w*(w - 2)*(w + 1) Let z be (-12 - -11)/((-2)/6). Let x(l) be the first derivative of 2/5*l**5 + 3/2*l**4 - 1 + 2*l**z + 0*l + l**2. Factor x(q). 2*q*(q + 1)**3 Let w be -58*4/240 + -3 + 4. Let b(v) be the first derivative of 2/15*v**3 + 3 + 0*v + 1/10*v**2 - w*v**6 - 2/25*v**5 + 0*v**4. Factor b(t). -t*(t - 1)*(t + 1)**3/5 Let g(t) be the second derivative of -t**6/24 - t**5/5 - 3*t**4/8 - t**3/3 - t**2 + 3*t. Let h(x) be the first derivative of g(x). Suppose h(j) = 0. What is j? -1, -2/5 Let v(t) be the second derivative of 25*t**7/42 - 7*t**6/2 + 38*t**5/5 - 122*t**4/15 + 24*t**3/5 - 8*t**2/5 - 6*t. Factor v(z). (z - 2)*(z - 1)*(5*z - 2)**3/5 Let f = -42 + 24. Let w = -16 - f. Determine q so that 1/2*q**w + 1/4 - 3/4*q = 0. 1/2, 1 Let a be (224/(-72))/7 + 4/9. Find f, given that -9/5*f**3 + a*f + 42/5*f**4 + 0 - 6/5*f**2 = 0. -2/7, 0, 1/2 Let w(z) be the first derivative of -3/10*z**5 - 4 - 3/8*z**4 + 0*z + 0*z**3 + 0*z**2 + 1/2*z**6. Find g such that w(g) = 0. -1/2, 0, 1 Find i, given that -3/5*i**2 - 9/5*i**4 + 0*i + 0 + 9/5*i**3 + 3/5*i**5 = 0. 0, 1 Let q(p) be the third derivative of -p**8/3360 + p**6/720 + p**3/3 - p**2. Let k(f) be the first derivative of q(f). Solve k(x) = 0 for x. -1, 0, 1 Factor -3*v + 10*v**3 + 4*v - 14*v**3 + 3*v**3. -v*(v - 1)*(v + 1) Let b(w) = 2*w**2 - 4*w + 2. Let j(t) = -3*t**2 + 8*t - 5. Let c(l) = 5*b(l) + 2*j(l). What is o in c(o) = 0? 0, 1 Suppose -1 = 3*x - 4. Factor x - 2*t + 2*t**2 - 1 - 2*t. 2*t*(t - 2) Let k be (2/(-240))/(4/(-10)). Let w(o) be the second derivative of -o + k*o**4 + 0*o**2 + 0 + 0*o**3. Factor w(p). p**2/4 Let w(h) be the third derivative of h**5/60 + h**4/8 + 4*h**2. Let k be w(-3). Solve 2/
{ "pile_set_name": "DM Mathematics" }
t is -2515438.486 rounded to the nearest one thousand? -2515000 What is -4.592833 rounded to one decimal place? -4.6 What is -13723.69425 rounded to the nearest ten? -13720 What is 0.2832973521 rounded to 6 dps? 0.283297 Round 18199703.7 to the nearest one million. 18000000 What is -879291.26 rounded to the nearest ten thousand? -880000 Round -4784630.902 to the nearest 1000. -4785000 What is 0.0000276963147 rounded to seven decimal places? 0.0000277 Round 135740300.41 to the nearest ten thousand. 135740000 What is 0.0019296452 rounded to 3 dps? 0.002 What is -3113.19718 rounded to the nearest 100? -3100 What is 17786400.44 rounded to the nearest ten thousand? 17790000 What is 0.0000002458846 rounded to six dps? 0 Round 138998.4526 to the nearest one thousand. 139000 Round -110012.7 to the nearest 100000. -100000 What is 0.00008937681853 rounded to seven dps? 0.0000894 Round 0.00011467402 to 5 dps. 0.00011 What is 141.16052 rounded to one dp? 141.2 What is -0.03421782003 rounded to five dps? -0.03422 Round 698.650127 to zero dps. 699 What is -753024.231 rounded to the nearest ten thousand? -750000 What is 10656889567 rounded to the nearest 100000? 10656900000 Round -413452569 to the nearest 1000000. -413000000 Round 3643987.5 to the nearest 100. 3644000 What is -5128290.311 rounded to the nearest one hundred? -5128300 What is -0.00003570045688 rounded to seven dps? -0.0000357 Round 0.0161038473 to three decimal places. 0.016 What is -2.17268759 rounded to two decimal places? -2.17 What is -39.26423168 rounded to one decimal place? -39.3 Round 0.00001336893407 to six decimal places. 0.000013 What is 132864825 rounded to the nearest one million? 133000000 Round 1368699.69 to the nearest 10000. 1370000 Round -90394282 to the nearest ten thousand. -90390000 Round -64.73464585 to the nearest ten. -60 What is -0.001806541458 rounded to seven decimal places? -0.0018065 What is 3.17391878 rounded to two dps? 3.17 What is 862.17453 rounded to one dp? 862.2 What is 3925.01446 rounded to 1 decimal place? 3925 Round 0.1660324625 to 1 dp. 0.2 What is 37460.31551 rounded to the nearest 10000? 40000 What is -0.0005262565423 rounded to five decimal places? -0.00053 Round -42350.96385 to 1 dp. -42351 What is 14.631516 rounded to the nearest ten? 10 Round 0.0094832762 to 3 decimal places. 0.009 Round 0.00000945361991 to 7 dps. 0.0000095 What is -1.3953207 rounded to 2 dps? -1.4 What is -132551.39 rounded to the nearest 1000? -133000 Round -0.7758851742 to 4 decimal places. -0.7759 What is 31034.586 rounded to the nearest integer? 31035 Round 46.198419 to the nearest 10. 50 What is 0.01676003054 rounded to seven dps? 0.01676 What is 3.498658798 rounded to 2 decimal places? 3.5 What is 0.3633723678 rounded to four decimal places? 0.3634 Round -0.000427733393 to 5 dps. -0.00043 Round 0.078905627 to 5 dps. 0.07891 What is 0.00000125721193 rounded to seven dps? 0.0000013 What is 7378.1261 rounded to the nearest one hundred? 7400 What is 32.4568126 rounded to three decimal places? 32.457 What is 5077.857825 rounded to the nearest one thousand? 5000 Round 3732740.684 to the nearest one thousand. 3733000 Round 35.5751224 to the nearest ten. 40 What is -0.0000335101694 rounded to six decimal places? -0.000034 Round -266445.769 to the nearest ten thousand. -270000 Round 13755966.5 to the nearest 1000. 13756000 Round -0.000121032126 to six decimal places. -0.000121 Round 445955.3605 to the nearest ten thousand. 450000 What is 1.1916158 rounded to 0 dps? 1 Round 0.0000381099261 to six decimal places. 0.000038 Round 163224751.6 to the nearest 100000. 163200000 Round -123.0606 to the nearest integer. -123 What is 57.3186689 rounded to the nearest ten? 60 What is 0.0000277542204 rounded to five dps? 0.00003 Round -492203474 to the nearest ten thousand. -492200000 What is 79530752 rounded to the nearest 100000? 79500000 What is -0.0461654438 rounded to four decimal places? -0.0462 Round 6839.28308 to the nearest one hundred. 6800 Round -12488807.6 to the nearest one million. -12000000 Round 154.819888 to the nearest 10. 150 Round -0.00288635265 to five dps. -0.00289 Round -0.0645357854 to 2 dps. -0.06 Round -1642111.5414 to the nearest ten. -1642110 Round -0.00047488001 to 5 dps. -0.00047 Round 840996417.8 to the nearest ten thousand. 841000000 What is -8.40466711 rounded to 0 dps? -8 What is -819308.468 rounded to the nearest ten thousand? -820000 What is 26.7405872 rounded to 3 dps? 26.741 What is 14772.45392 rounded to the nearest 100? 14800 Round 0.0000067791713 to 7 dps. 0.0000068 Round 96.244288 to two dps. 96.24 What is -14255743800 rounded to the nearest one million? -14256000000 What is 72.09890285 rounded to three dps? 72.099 Round -0.00000045125363 to seven dps. -0.0000005 What is 0.000094938552 rounded to 7 decimal places? 0.0000949 What is 0.000208156734 rounded to seven decimal places? 0.0002082 What is -77436676.3 rounded to the nearest 100000? -77400000 What is -14097.81 rounded to the nearest ten thousand? -10000 Round -225.91625 to the nearest 100. -200 What is -40077.0452 rounded to the nearest 1000? -40000 Round 3097.53712 to the nearest integer. 3098 What is -0.00040284741 rounded to six decimal places? -0.000403 Round 0.00000972384547 to six decimal places. 0.00001 Round 0.205452075 to 4 dps. 0.2055 What is -0.000016623727 rounded to seven decimal places? -0.0000166 Round -28803845.893 to the nearest 1000000. -29000000 What is 2.19731034 rounded to one decimal place? 2.2 Round -0.00054819272 to five decimal places. -0.00055 What is -1591.608 rounded to the nearest 100? -1600 What is 817.96745 rounded to the nearest 100? 800 Round -13818538200 to the nearest 1000000. -13819000000 What is 2105897.7 rounded to the nearest one million? 2000000 What is 0.189702531 rounded to 3 decimal places? 0.19 What is -45179815.6 rounded to the nearest one thousand? -45180000 What is 2731.8039828 rounded to 1 decimal place? 2731.8 Round -8425855740 to the nearest 1000000. -8426000000 What is -4.30302407 rounded to 0 decimal places? -4 What is 1169624930 rounded to the nearest 100000? 1169600000 Round 428496.037 to the nearest one hundred. 428500 Round -326456587.2 to the nearest 10000. -326460000 Round 1.0306819927 to 5 dps. 1.03068 What is -41725.139 rounded to the nearest one hundred? -41700 Round -103.7420471 to 1 dp. -103.7 Round 32956111.63 to the nearest 10000. 32960000 Round 0.000056209084 to 5 decimal places. 0.00006 What is 6348995900 rounded to the nearest one million? 6349000000 What is 45301.79398 rounded to the nearest ten? 45300 Round 0.00000948181968 to 6 dps. 0.000009 Round 1153222.93 to the nearest 1000. 1153000 What is 0.650305319 rounded to 3 decimal places? 0.65 Round -317787.2129 to 0 decimal places. -317787 Round -0.00000088194577 to 7 decimal places. -0.0000009 What is 1276.907958 rounded to the nearest 100? 1300 What is -11.532692 rounded to one dp? -11.5 Round 0.0506994031 to two decimal places. 0.05 What is 1.23626345 rounded to 3 decimal places? 1.236 What is -0.052951545 rounded to 2 dps? -0.05 Round -5.0603453 to 2 decimal places. -5.06 Round -5353200.251 to the nearest one hundred thousand. -5400000 What is -0.000000685465487 rounded to 7 dps? -0.0000007 What is 0.1731592946 rounded to 3 decimal places? 0.173 What is 39591827.08 rounded to the nearest one hundred? 39591800 What is -0.0965795861 rounded to three decimal places? -0.097 Round -0.0000600450455 to five decimal places. -0.00006 What is 66627.78 rounded to the nearest 100? 66600 What is -75272422 rounded to the nearest 10000? -75270000 What is -0.02779368 rounded to 4 decimal places? -0.0278 Round 0.00029497888 to five decimal places. 0.00029 Round 0.00156513181 to 6 dps. 0.001565 What is -1578412000 rounded to the nearest 1000000? -1578000000 Round 13559.783401 to the nearest one thousand. 14000 Round 3271335.786 to the nearest one hundred thousand. 3300000 What is 199.7226161 rounded to one dp? 199.7 What is -93072.8143 rounded to the nearest 10000? -90000 Round 646443.7 to the nearest 100000. 600000 Round 0.0017082042 to three dps. 0.002 What is -0.02819126 rounded to three dps? -0.028 Round -795736.861 to the nearest 1000. -796000 Round 0.0000041058641 to seven decimal place
{ "pile_set_name": "DM Mathematics" }
the remainder when 94 is divided by m? 30 Let z = -9839 - -9911. What is the remainder when 84 is divided by z? 12 Let v(l) = -l + 48. Suppose -g = 15*j - 16*j + 180, -j = -3*g - 178. What is the remainder when j is divided by v(17)? 26 Let s = -251 - -148. Let i = s - -128. Suppose -27*a + 4 = -i*a. Calculate the remainder when 3 is divided by a. 1 Let a = -297 + 196. Let h = a - -170. Suppose 45*w - h = 42*w. Calculate the remainder when 114 is divided by w. 22 Suppose 5*j - 2107 = -3*g, -4*j = 4*g - 1474 - 218. Calculate the remainder when j is divided by 70. 69 Suppose 4*l = 12 + 4, 0 = -5*p - 3*l - 3. Calculate the remainder when 153 is divided by 6 + p + (-12)/(-4). 3 Let s = -13 + 78. Suppose 0 = 76*k - 1743 - 917. What is the remainder when s is divided by k? 30 Let s(v) be the second derivative of -25*v**3/6 + 5*v**2/2 + 4*v - 7. What is the remainder when 204 is divided by s(-1)? 24 Suppose -1183 = -34*f + 21*f. What is the remainder when f is divided by 13? 0 Let t(p) = 2*p**2 + 26 + 2*p**2 - 24 - 2*p**2 + 3*p. Suppose -m - 4 + 7 = 0. What is the remainder when 114 is divided by t(m)? 27 Let b = -2158 + 2297. Calculate the remainder when b is divided by 102. 37 Let p(d) = -2*d + 8. Let g be p(8). What is the remainder when 7 is divided by 5*-6*g/48? 2 Let d = 5029 - 4830. Calculate the remainder when d is divided by 1 + -1 + 2 + 14. 7 Let q = 6028 + -6012. Calculate the remainder when q is divided by 1. 0 Let h = -488 - -494. Suppose h*x - 4*x = 2*c - 156, 0 = 2*c + 3*x - 181. Let u(l) = l**2 - l + 14. Calculate the remainder when c is divided by u(0). 13 Let l be (3 - 5)/((-6)/2001). Let u = l + -624. What is the remainder when 100 is divided by u? 14 Let m(u) = -7*u**3 - 175*u**2 + 4*u + 181. What is the remainder when 384 is divided by m(-25)? 60 Suppose t - 130 = -4*r, -2*t + 2*r + 285 - 5 = 0. Let l = -123 + t. Calculate the remainder when 282 is divided by l. 12 Suppose 4*m = -4*t + 6 + 2, 0 = -5*t - 25. Let d(n) = 20*n - 46. Let z be d(m). Let g = z - 82. What is the remainder when 82 is divided by g? 10 Suppose 13*z = 6*z + 1715. Let a = -214 + z. What is the remainder when a is divided by 8? 7 Let f(x) = 3*x**2 + 7*x - 2. Let s(r) be the first derivative of -9*r**2/2 + 2*r - 62. What is the remainder when f(-6) is divided by s(-1)? 9 Let v(z) be the second derivative of 11*z**4/4 + z**3/2 + 2*z**2 + 48*z. Calculate the remainder when v(-1) is divided by 1*9*(2 + -1). 7 Suppose -2046*f = -2043*f - 21, 5*n - 2*f = 3641. Calculate the remainder when n is divided by 360. 11 Let y = -726 + 728. Calculate the remainder when 654 is divided by y. 0 Suppose -2*j + 5*l = -347, 5*j + 0*l - 920 = -5*l. Let s(n) = -n**2 + 15*n - 2. Let x be s(15). What is the remainder when j is divided by x + 10 + -4 + 42? 43 Suppose -2345 + 18438 = 130*l - 14977. What is the remainder when l is divided by 56? 15 Let x(n) = -2*n + 86. Let r be x(-12). Let y = 142 - r. What is the remainder when y is divided by 18? 14 Let k = -710 + 702. What is the remainder when 637 is divided by ((-20)/(-9))/(k/(-72))? 17 Suppose -5*n + 2771 = -g, -2822 = -4*n - 9*g - 615. What is the remainder when n is divided by 7? 1 Suppose 84*g - 182 = c + 85*g, 0 = -4*c + 3*g - 742. Let p = c - -294. Calculate the remainder when p is divided by 23. 18 Let n = 19 + -10. Let k be (0 - n/(-12))/((-2)/(-16)). What is the remainder when 35 is divided by k*-21*6/(-27) + -3? 10 What is the remainder when 451 is divided by (0 - 228/(-30))/(2/20)? 71 Let a = 81 - 131. Let d(u) = -3184*u - 92301. Calculate the remainder when d(-29) is divided by 18/(-15)*a/3. 15 Let r be 223 + 6/(-2) + (-1 - -1). Suppose 0 = -6*a - 4*a + r. Suppose -5*p + a - 2 = 0. Calculate the remainder when 19 is divided by p. 3 Let t = -19652 - -19756. What is the remainder when 352 is divided by t? 40 Let r(w) = 2*w**3 + 86*w**2 + 80*w - 155. What is the remainder when 19 is divided by r(-42)? 6 What is the remainder when (-208)/(-52) - (-5 + (-105 - 1)) is divided by (-4)/(-6) + (-350)/(-6)? 56 Suppose 51*v - 35*v + 97*v - 21470 = 0. What is the remainder when v is divided by 97? 93 Suppose 9*a + 1118 = d + 5*a, 3*d + 3*a - 3369 = 0. Calculate the remainder when d is divided by 372. 6 Suppose 2*o + 1226 = -4*n + 5*o, 0 = 3*o + 6. Let a = -282 - n. What is the remainder when a is divided by 15? 11 Let l(p) = 265*p**2 + 7*p - 2. Suppose 3*f = -2*h - 3*h + 14, -4*h + 5*f - 11 = 0. What is the remainder when l(h) is divided by 69? 63 Let t(f) = f**2 - 6*f + 14. Suppose -2*c = 3*m - 2*m + 974, 3*c - m = -1466. What is the remainder when c/(-6) + (-20)/(-30) is divided by t(6)? 12 Suppose d = 21*j - 18*j - 20, 5*d = -5*j. Suppose r - 106 - 95 = -5*k, -j*k + r = -199. Suppose -44 = -0*n - 4*n. What is the remainder when k is divided by n? 7 Suppose 0 = 5*v + 5*p - 85, 0 = 5*v - 3*p + p - 71. Suppose -479 = -4*g + 5*m, 4*m - m = v. Let n = 132 - g. Calculate the remainder when 11 is divided by n. 5 Suppose 0 = 137*z - 13485 + 1155. What is the remainder when 94 is divided by z? 4 Let h = 1700 - 1567. Let z = h - 15. Suppose 2*c = 3*c - 24. What is the remainder when z is divided by c? 22 Let a be (202/303)/(1 - 14/18). What is the remainder when 358 is divided by 3 - (12 - a) - -46? 38 Let i be 1 + 6 + 60/10. Suppose i*o - 97 = 176. What is the remainder when 38 is divided by o? 17 Suppose 89*q - 281*q + 106802 = -46990. Calculate the remainder when q is divided by 41. 22 Let w = 310 + -304. Suppose 5*s = -w*s + 33. What is the remainder when 7 is divided by s? 1 Let o be ((-7)/(-14))/((-2)/(-20)) + 17. Suppose 1 + 20 = -4*j - r, 2*j + 3*r = -13. Let q = j + o. Calculate the remainder when q is divided by 6. 5 Let u be (-5)/((-5)/(-136)) - (0 + 3). Let b = -59 - u. Suppose 115*c - 107*c - 216 = 0. Calculate the remainder when b is divided by c. 26 Let q = -1903 + 1972. Let x(f) = f**2 + 4*f - 10. What is the remainder when x(-14) is divided by q? 61 Suppose 419*c - 415*c - j = 3518, -j - 1758 = -2*c. What is the remainder when c is divided by 34? 30 Let s = -15 + 24. Suppose -s = -3*p + 33. Let l = p + 3. Calculate the remainder when 48 is divided by l. 14 Suppose -m - 29 = 3*f, -5*f + 6*f - 2 = 0. Let p = 126 + -85. Let h = m + p. Calculate the remainder when 16 is divided by h. 4 Let o(m) = 15*m**2 - 3*m + 8. What is the remainder when 117 is divided by o(2)? 55 Let h(w) = -42*w - 2760. What is the remainder when 1018 is divided by h(-67)? 46 Calculate the remainder when 1935 is divided by (12/(-2) - -3)*4309/(-93). 128 Let y = -2511 + 2900. What is the remainder when y is divided by 17? 15 Let l = -21062 - -21507. What is the remainder when 1345 is divided by l? 10 Suppose -4*z + 112 = -z + 4*j, 0 = -2*j + 8. Let t = 83 - z. Suppose 4*l - 135 + t = 0. Calculate the remainder when 62 is divided by l. 20 Suppose 5*x + 7*s - 173 = 11*s, 0 = x + 4*s - 49. Suppose -x*o = -34*o - 207. Calculate the remainder when 619 is divided by o. 67 Let g = 392 - 268. Let a(k) = -15*k - 48. What is the remainder when g is divided by a(-6)? 40 Suppose 8*l = 6*l + 5*j + 10, -2*j = 3*l + 23. Calculate the remainder when 34 is divided by (2 + 17)/(l/(-9 + 4)). 15 Let h(b) = -b**3 + 14*b**2 + 7*b - 88. Let w be h(14). Calculate the remainder when (-214)/(-1)*(13 - 8)/w is divided by 24. 11 Let j = 38 - -12. Suppose 3*k + 2*o - 24 = 41, -k + 5*o + j = 0. Suppose k*p - 21*p = 132. Calculate the remainder when p is divided by 17. 16 Suppose -555*g + 114*g = -11013 - 34851. What is the remainder when g is divided by 7? 6 Let r(h) = -7*h**2 - 2*h - 5. Let q be r(3). Suppose 5*a - 3*f + 275 = 0, 4*f - 86 = 2*a + 24. Let i = a - q. Calculate the remainder when 54 is divided by i. 16 What is the remainder when (1134/(-5))/(14/((-280)/6)) is divided by 85? 76 Let l = -267 - -311. Suppose -2*n + 3*n + 4*y = 37, -2*y = 2*n - l. What is the remainder when 62 is divided by n? 11 Let f be -3*(7/3)/(-1). Suppose f*w + 48 = w. What is the remainder when 10 is divided by (-68)/(-18) + (-3)/108*w? 2 Calculate the remainder when 396 is divided by (-6)/(-8) + 5630/56 - 2/7. 93 Let x = 122 - 69. Suppose 0 = 5*v - 5, 5*v + x = 5*c + 233. Let p = 48 + c. Calculate the remainder when 24 is divided by p. 11 Let k = 163 - 161. Calculate the remainder when -157*(7
{ "pile_set_name": "DM Mathematics" }
et m = 0 - 2. Let y(w) = -w**3 - 10*w**2 - 9*w + 12. Let g be y(-9). Suppose 0*s = 3*s - g. Put m, 7, s in increasing order. m, s, 7 Let p be (-3 - -7)/((-2)/25). Let l be (15/p)/(6/4). Put -1/8, l, -2 in descending order. -1/8, l, -2 Suppose 52*v + 18 = 34*v. Let p(m) = -m + 2. Let r be p(0). Suppose -k = -5*h - 0*k + 20, k = -h - r. Sort v, h, -2 in increasing order. -2, v, h Let x be ((-6)/81)/(1/(-3)). Let d be 88/12 - 5/(15/(-2)). Let t be d/20 + (-2 - (-37)/(-5)). Put x, t, 0 in descending order. x, 0, t Let b(v) = -v**3 + 2*v**2 + 3*v - 1. Let h be b(3). Let s be 44/11 - (h + 5). Sort 4, s, 1 in ascending order. s, 1, 4 Suppose -5*x = 4*u - 3439, -6991 + 2689 = -5*u - 3*x. Let l = u + -31859/37. Let f = -100/481 - l. Sort 0.6, 0.4, f. f, 0.4, 0.6 Let w = 6 + -10. Let a = 10.1 + -9.36. Let u = a - 0.78. Put w, 2/11, u in ascending order. w, u, 2/11 Let x be 3/5*(-15)/6. Let t = 50.4 + -50. Put t, 0, 3/8, x in decreasing order. t, 3/8, 0, x Let d(b) = 5*b - 15. Let i be d(3). Suppose -2*h - 5*s + 29 = 0, -4*h + 3 = -i*s - s. Put 4, h, -6 in decreasing order. 4, h, -6 Let b(x) = -x**2 + 5. Let l be b(-3). Put l, 115, 1 in descending order. 115, 1, l Suppose -2*c - 3 = -c. Let q = -0.045 + 0.275. Let s = q + 0.17. Put -2/7, c, s in decreasing order. s, -2/7, c Suppose 18 = -5*y - 2*l, -3*y - 3*l + 11 = -5*y. Put -5, -40, y in decreasing order. y, -5, -40 Let q be ((-61)/(-30))/1 - 2. Let s = q + 13/60. Let b = 108 + -107.8. Sort s, -0.5, b in decreasing order. s, b, -0.5 Let o = 39 - 118/3. Let v be ((-8)/(-28))/(-2)*2. Put o, v, 0.1 in descending order. 0.1, v, o Let p = -2394 - -2392. Sort p, -0.194, 0. p, -0.194, 0 Let b = -42 + 44. Suppose -n = b + 2. Put 0, 1, n, 2 in ascending order. n, 0, 1, 2 Let i = -25 + 26. Let v(p) = p + 2. Let h be v(-2). Sort h, i, 4 in descending order. 4, i, h Let z = -31 - 5. Let r = z + 20. Sort -1, 5, r, -2 in descending order. 5, -1, -2, r Let h be ((-10)/6)/((-1)/3). Suppose h*f + r = -46, -4*r - r = 2*f. Let m = f - -8. Sort 3, m, -1 in decreasing order. 3, -1, m Suppose -14*g = -15*g + 3. Suppose 0 = z - 5*q + 17, -2*z + q + g = -8. Sort 1, z, -3. -3, 1, z Let s be 2 - 28/12 - 16/(-3). Suppose -3*v = 5*c + 16, 2*c = -4*v + 1 + 1. Sort c, s, -3 in increasing order. c, -3, s Let h be (-6)/9*4*(-9)/3408. Put -1, -0.2, 5, h in descending order. 5, h, -0.2, -1 Let y(x) be the first derivative of 1 + 5*x + 1/2*x**2. Let u be y(-10). Sort -3, 3, u in descending order. 3, -3, u Let d(u) = u**2 - 6*u - 8. Let f be d(7). Let v be (-5)/((-9)/(-6) + f). Let g be (-5)/((-100)/8)*v. Sort g, -1, 5. g, -1, 5 Let y(b) = -b - 8. Let l be y(-7). Let x = -146 + 149. Suppose 3*v + 4 - 10 = 0. Sort x, l, v in descending order. x, v, l Suppose -2*h + 2 = 6, 5*d + 11 = -3*h. Let j = 99 + -104. Sort d, -11, j in increasing order. -11, j, d Let c = -405 + 412. Put 4, c, -5 in descending order. c, 4, -5 Let w be 95/(-38) + 3/(-2). Let z = -2 - -6. Sort -1, -5, z, w in decreasing order. z, -1, w, -5 Let r(s) = 2*s**2 - 26*s - 19. Let x be r(13). Sort -1, x, 5. x, -1, 5 Let o = -836/2535 - 3/845. Put o, -2, -0.1, -0.4 in ascending order. -2, -0.4, o, -0.1 Suppose -3*z - 7 = 5. Suppose 27 = 5*q + 17. Let b be 12/(q - 24/6). Sort b, 5, z in increasing order. b, z, 5 Let j be (-48)/18*6/(-4). Let n = -179 - -178.6. Sort -1, -3, n, j in descending order. j, n, -1, -3 Let n = 97 + -97.1. Let i = 1.3 - -0.2. Let v = i + -1. Sort n, v, -0.4. -0.4, n, v Let i = -15 - -11. Let p = 18 - 18.165. Let a = 0.065 + p. Put 3/7, a, i in decreasing order. 3/7, a, i Suppose -w - 7 = -3*f, 0 = -36*w + 32*w + 2*f - 8. Put 25, w, -8 in decreasing order. 25, w, -8 Suppose 681*q + 36 = 690*q. Put 5, q, 2, -5 in decreasing order. 5, q, 2, -5 Let i(p) = 3*p**2 + 21*p - 2. Suppose 2*a + 37 = -5*j, 0*a = 2*j + a + 15. Let z be i(j). Put 1, -7, 5, z in ascending order. -7, z, 1, 5 Let x(t) = t**2 + 8*t - 2. Let a be x(-8). Let y be ((-18)/(-15))/(((-24)/(-15))/(-4)). Sort a, -5, y in descending order. a, y, -5 Let l be (-2 - (-6)/8)*-16. Suppose 0*b = -4*b + l. Suppose b*h + 8 = 13. Sort h, 1/7, -2 in decreasing order. h, 1/7, -2 Let f be 274/(-685) + (-2 - (-384)/10). Put 1, 2, f, -1 in decreasing order. f, 2, 1, -1 Let o be -2*((-4)/10 - (-1738)/(-880)). Sort o, 0, 5, 4 in increasing order. 0, 4, o, 5 Let r(h) = -3*h + 4. Let c be r(0). Let g be -2 + (-3)/(-6) - 2/c. Sort 0, 1, -4, g in ascending order. -4, g, 0, 1 Let w be (-30)/(-45) + 4/(-6). Put 3, 2, w, -4 in descending order. 3, 2, w, -4 Let k = -345 - -1379/4. Let m be (0 + (-3)/18)/1. Sort 0, m, k in descending order. 0, m, k Let k = 62 - 23. Suppose 3*p + 24 = k. Let z = 1070 + -9620/9. Sort -0.3, p, z in increasing order. -0.3, z, p Let t = 2786/7601 - 2/691. Put 0, 3, t, 4 in descending order. 4, 3, t, 0 Suppose 4*y = y + 6. Suppose -m + 5 = 5*b, 2*m + 5*b - y*b = 3. Let w = -35 - -37. Put m, w, 5 in decreasing order. 5, w, m Let d = 1202 + -1204. Put 0.5, d, -5, -43 in descending order. 0.5, d, -5, -43 Let g = -12 + 8. Let q = g - 3. Let m be (4/(-12))/((-2)/(-30)). Put m, 5, q in descending order. 5, m, q Let z(d) = 7*d + 89. Let m be z(0). Sort m, -5, -2 in decreasing order. m, -2, -5 Let z = 104 - 100. Sort -3, 5, z, 36 in decreasing order. 36, 5, z, -3 Let i = 66 - 64. Sort i, 0.5, 32, 0.4 in increasing order. 0.4, 0.5, i, 32 Let m = -685 + 690. Let s = -3 - 2. Sort s, -1/8, m. s, -1/8, m Let t be 450/(-55) - 12/(-66). Sort -5, 3, t in ascending order. t, -5, 3 Let h(q) = -6*q - 35. Let t be h(-6). Let c be (-2)/(-15) - 116/(-30). Put c, 0, t in descending order. c, t, 0 Let m be (-3)/(-6) + 130/(-20). Let h be 1/3 + (-14)/6. Put m, h, 1 in decreasing order. 1, h, m Let a(j) = 4*j**2 + 21*j + 22. Let b be a(-1). Sort -7, 4, b, -2. -7, -2, 4, b Let l = -32.7 + 34.7. Put -1/5, -2, l, 0 in increasing order. -2, -1/5, 0, l Let s = -4 - -5. Suppose -8*x - 5*o - 8 = -5*x, -4*x - 2*o = 6. Let m = -3 + -1. Sort s, m, x in descending order. s, x, m Let n = 2572 + -2575. Sort n, 4, 86 in increasing order. n, 4, 86 Let m = -23 + 31. Let o = m - 5. Let b(x) = x + 2. Let z be b(2). Sort -2, o, z in descending order. z, o, -2 Suppose -16*f - 3 = 13. Put f, 3, 7 in decreasing order. 7, 3, f Let j = -56.63 + 57.13. Let x = 5.1 - 1.1. Put -4, x, 3, j in decreasing order. x, 3, j, -4 Let k = 1366.4 + -1366. Sort -6, -2.1, k in descending order. k, -2.1, -6 Suppose 1 = 2*p + 5. Let c be 1/4 - (-3 + (-435)/(-60)). Put p, -24, c in ascending order. -24, c, p Let o = 0.0512 - -5.9488. Sort o, 0.1, -5, 1/4. -5, 0.1, 1/4, o Let o = 534 + -497. Put 0.2, -1, -2, o in descending order. o, 0.2, -1, -2 Let x = 10 - 29/3. Let h = -6.59 + 1.59. Sort -2, x, h, -1/2 in decreasing order. x, -1/2, -2, h Let b = 47 + -44.5. Let r = b + 2.5. Put -2, r, 0.4 in decreasing order. r, 0.4, -2 Let t = 1 - 4/5. Sort -4, -8, t, -0.3. -8, -4, -0.3, t Let c be (-8)/6*3/2. Let d = 0.2 - 0.3. Suppose 275*t - 268*t = 28. Sort c, t, d in descending order. t, d, c Suppose 6*r - 18 = 3*r. Suppose 8 = -4*x + r*x. Suppose 3*g + 8 = 4*g + x*v, -4*g - 4*v - 4 = 0. Sort g, 3, -5 in increasing order. -5, g, 3 Let i be (24/30)/(66/15). Let h = -1.6 - -1. Let f = -1 - h. Sort i, f, 0.02 in increasing order. f, 0.02, i Let r = -2 + 3. Suppose -5*l - 5 = 5*b, b = -4*l - 2 + 7. Suppose -3*u = 2*a + 32, -5*a = u + 1 + 1. Sort u, l, r in ascending order. u, r, l Let y = -65 - -67. Sort 5, y, -1, -30. -30, -1, y, 5 Let s = -1.083 + 0.583. Put -3, 1, s, -16 in ascending order. -16, -3, s, 1 Let s = 252.3 - 252. Let f = -16 - -15.9. Put s, -1/2, 3, f in decreasing order. 3, s, f, -1/2 Let a(v) = -19*v - 1196. Let w be a(-63). Sort -33, w, 0.2, 1/4 in ascending order. -33, 0.2, 1/4, w Suppose 45*x - 56*x = 176. Sort x, 3, -8 in ascending order. x, -8, 3 Suppose -14*d - 33*d + 235 = 0. Suppose -5*o - 1 = q, -3*o + 4*q = -6 + 2. Sort -5, d, 2, o in increasing order. -5, o, 2, d Let o be (11/77 + (-3)/(-175))/(-2). Sort o, 0, 1 in ascending order. o, 0, 1 Let n be -2*(-1)/2 + -13. Let o be 4/(-6)*n/2. Sort -3, o, 0 in decreasing order. o, 0, -3 Let g = 9 + -8. Let q(z) = -z**2 - 5*z + 2. Let b be q(-5). Suppose 4*p + 16 = -h, -2*p - 12 - b = -h. Put h, -1, g in ascending order. -1, g, h Let y = 23.8 - 25.8. Let c = 9.8 - 10. Put 4, y, 3/7, c in descending o
{ "pile_set_name": "DM Mathematics" }
- 1 = -a. Put -7, -3, u in ascending order. -7, -3, u Let b be (8*3)/3*12/(-72). Let s = b + 13/12. Sort 0.1, s, -2/59 in descending order. 0.1, -2/59, s Let s = -882808/255 + 3462. Let x = 141/85 + s. Sort 5, 3/5, x. 3/5, x, 5 Suppose -2*b = s + 2*s + 20, -4*s - 23 = -b. Let c be (-2)/s + (-15)/(-9) + -3. Suppose -3 + 1 = d + 2*i, 3*i = -5*d + 4. Sort 1, d, c in increasing order. c, 1, d Suppose 10*k = 36 + 4. Sort 6/5, -0.07, k, 0.4 in descending order. k, 6/5, 0.4, -0.07 Let p(u) = 10 - 7*u + u**2 + 0*u**2 - 3*u - 2*u**2. Let q be p(-11). Put -5, q, 2 in increasing order. -5, q, 2 Let t be (-6)/8 + 10/(-8). Suppose l = 4*l + 9. Let j = l - t. Sort 5/4, j, 5 in decreasing order. 5, 5/4, j Suppose 33 = -7*j + 18*j. Let k(i) = i + 5. Suppose 3 = -4*m - 13. Let g be k(m). Sort j, -5, g in descending order. j, g, -5 Let j = -18 + -2. Suppose 13*t - 4 = 9*t. Put -4, t, j in ascending order. j, -4, t Let p = -43 - -42. Let k be 39/9 - 1/3. Put p, -5, 3, k in descending order. k, 3, p, -5 Let z be 17/(-4) - 4/(-16). Let l be 7*((-6)/7)/1. Put l, z, -3 in descending order. -3, z, l Let c be (-12 + 1)*2/(-2). Suppose -9 = -5*v + c. Let y be (1/3)/(v/(-24)). Put -3, -1, y in increasing order. -3, y, -1 Let b be (-7)/84*(-32)/(-12). Sort 9, b, 1 in descending order. 9, 1, b Suppose -5*r + 8 = -r. Suppose -r = -y - 7. Put y, 8, 2 in ascending order. y, 2, 8 Let i be ((-4)/(-31 - 5))/((-86)/6). Sort -2, i, 0, 2/11 in decreasing order. 2/11, 0, i, -2 Let c(l) = -l**2 + 6*l + 11. Let p be c(8). Suppose 11 = -3*s + 5. Let k(o) = -o - 4. Let n be k(-5). Put p, n, s in increasing order. p, s, n Let n = 1 + -13. Let r be n/(-10)*45/18. Suppose -2*b = 3*o + 5 + 3, r*o = -12. Put b, 0, -4 in decreasing order. b, 0, -4 Let q(t) = 2*t**2 - 16*t + 11. Let o(k) = -k**2 + 15*k - 5. Let l be o(14). Let z be q(l). Suppose -z = 2*b - b + 5*d, 21 = b - 5*d. Sort b, -0.1, -1/8. b, -1/8, -0.1 Let i = 38 - 35. Let p be i/5*(-2 - 58)/(-6). Let r be 82/(-70) + (-3)/(-5). Sort r, 0.4, p in ascending order. r, 0.4, p Let m(n) = -4*n + 69. Let u(p) = 1. Let r(x) = -m(x) + 6*u(x). Let v be r(19). Put -5, 4, v in decreasing order. v, 4, -5 Suppose 0*j + 13 = -13*j. Suppose 2*l + 2*l - 16 = 0. Let m be 16/(-6) + (-16)/(-24). Sort l, j, m in increasing order. m, j, l Suppose 25 = -4*q + 5. Let v(n) = n**3 + 81*n**2 - 83*n - 86. Let u be v(-82). Sort 4, 5, q, u in decreasing order. 5, 4, u, q Let m = 507.972 - 508. Sort 1/4, m, 4/9, 0 in decreasing order. 4/9, 1/4, 0, m Let l = 1.3 + -1.8. Let m be (1/((-2)/(-3)))/1. Let j be (-216)/16*(-4)/6. Put m, l, j in increasing order. l, m, j Let l be (-3)/(15/6 + -4). Suppose l*b - 5*a = -17, -6*b - 2*a + 30 = -b. Suppose -x = b*x. Put -1, 2, x in ascending order. -1, x, 2 Suppose -4*w - 9 = u, 3*u + u - w + 2 = 0. Let s = 11 + -9. Suppose -s*y - 20 = -10. Sort 5, u, y. y, u, 5 Suppose -2*k - 2*k - 2*s = -18, -2*k - 1 = 3*s. Suppose -5*x + 52 = 8*x. Sort 0, k, x. 0, x, k Suppose 7 = -d + 5*h, -5*d + 4*h + 3 = 17. Let l(a) = -a**2 - 6*a - 6. Let s be l(-6). Let u = s - -1. Put 3, d, u in increasing order. u, d, 3 Let u(t) = -t**2 - t + 1. Let r be u(0). Suppose 0 = z - 4*c - 38, 3*z + 5*c = -2*z + 115. Let y = -28 + z. Sort y, -3, r in ascending order. -3, y, r Let s be -106 + (-6 - -2) + 5. Let f be s/56*2/(-5). Sort f, 5/6, 0.2. 0.2, f, 5/6 Let o = 61 + -33. Suppose 6*p = -4*z + p - 57, -z = 4*p + o. Let w(h) = -h**3 - 7*h**2 + 6*h - 18. Let s be w(z). Put 2, s, -5 in ascending order. -5, s, 2 Let i = -8.6 + 4.8. Let w = 1.8 + i. Let k = w + 1.5. Sort k, 0.3, 4. k, 0.3, 4 Let d = 24649/19 - 1297. Put -5, d, -0.3 in decreasing order. d, -0.3, -5 Suppose -5*i + 3 = -3*h - 3, 3*h - 24 = -5*i. Let k(t) = -62*t - 73. Let r be k(-1). Put r, 5, h in increasing order. r, h, 5 Let k(y) = 12*y**3 - 63*y + 173. Let a be k(3). Sort -2, 0.3, a in descending order. a, 0.3, -2 Let o be (-16)/6 + 1/(-3). Let k = -0.41 + -0.04. Let h = k + 0.85. Sort h, o, 1 in descending order. 1, h, o Let h = 112 + -116. Sort -6, h, 4 in descending order. 4, h, -6 Let u be (3/(-4))/(5*11/(-110)). Sort 1, u, 1/4, 3.7. 1/4, 1, u, 3.7 Suppose -c + 20 = -6*c. Let d(p) = -p**3 - 6*p**2 - 8*p - 5. Let m be d(c). Let o = -1 + 2. Sort 4, m, o in decreasing order. 4, o, m Let s(g) = -9*g + 428. Let t be s(47). Put t, -35, -1/2, 0.2 in decreasing order. t, 0.2, -1/2, -35 Let n be (13 + -15)/((-2)/13). Sort -3/2, n, 0.2, -1 in decreasing order. n, 0.2, -1, -3/2 Suppose 0 = -9*b + 2*b + 28. Suppose -v + 6 = 2*v. Let t = v + -2. Sort b, -1, t in decreasing order. b, t, -1 Suppose -10*t = 2448 - 2428. Let a = 5 + -9. Put t, 14, a in descending order. 14, t, a Let a = -767 - -771. Put -2, -3, a, -4 in ascending order. -4, -3, -2, a Suppose 3*f = -3*f. Suppose f*b + a + 8 = 3*b, 4*a + 16 = 4*b. Sort -5, b, 0 in descending order. b, 0, -5 Suppose -12 = -3*d, -4*h - 152*d + 28 = -149*d. Sort 5, h, -71 in descending order. 5, h, -71 Let r = -34 + 36. Put r, 6/7, 1 in ascending order. 6/7, 1, r Let r = 0.3 - 0.1. Let p = -73 - -69. Sort r, 2/15, p, -3 in descending order. r, 2/15, -3, p Let h be 41/13 - (-2)/(-13) - 4. Put h, -5, -16, -2 in descending order. h, -2, -5, -16 Let v = 199/6 - 989/30. Sort -0.3, 0.7, v, -0.03. -0.3, -0.03, v, 0.7 Suppose -4*x + 4*q - 18 = 3*q, -2*x = -5*q. Suppose 2*j - 3*z - 8 - 11 = 0, 2*z = -5*j + 19. Suppose -j*o + 25 = -0*o. Put o, -2, x in descending order. o, -2, x Let k = 16 - 11. Suppose -3*p - 17 + 6 = 4*q, 5*p = -2*q + k. Suppose 0 = -4*c + 16. Sort 0, q, c in ascending order. q, 0, c Let b = 4.01 + -0.01. Let m = 1.7 - -0.3. Let t = 0.297 - 0.197. Put b, m, t in decreasing order. b, m, t Suppose -j + 2*k + 6 = 0, j = k + 3*k + 2. Suppose 4*t = 3*n + 11, j = -3*n + 3*t + 2*t. Sort n, -2, 2 in increasing order. n, -2, 2 Let h = -0.7 - 9.3. Let p = h + 10.1. Let v = p - 0.3. Sort 5, 0.1, v in ascending order. v, 0.1, 5 Let o be 3/(2/52*-3). Let w = 36 + o. Suppose -6 = -5*y + 14. Put y, w, -2 in descending order. w, y, -2 Let q = -9 + 14. Sort 0, q, -2/3 in ascending order. -2/3, 0, q Suppose 27*w - 28*w + 1 = 0. Suppose 0*b + 1 = b + d, 0 = -b + 5*d - 11. Sort b, w, 3 in decreasing order. 3, w, b Suppose 4*r - 15 = k, 97*k = 99*k - 3*r + 10. Let z(n) = -2*n**2 + 5*n - 2. Let d be z(3). Sort 2, k, 3, d. d, k, 2, 3 Suppose -10 = -9*p + 4*p. Let m be ((-4)/(-5))/(5/(-50)*p). Put 0, 3, m in increasing order. m, 0, 3 Suppose -5*o + 4*r = -14, -5*o + 2*o - 5*r = -1. Let b be ((-69)/(-33) - o)/1. Sort -4, b, 5 in descending order. 5, b, -4 Suppose 65*i - 7 = -7. Sort 2, i, -6 in increasing order. -6, i, 2 Let i be (-4)/(-18) + 2/(-9). Suppose 6 + i = h. Let g be ((-2)/6)/((-36)/(-216)). Put 0, g, h in ascending order. g, 0, h Suppose -2 = -26*g + 28*g. Sort -3, g, 0.15, 1/8 in increasing order. -3, g, 1/8, 0.15 Suppose 3*s - 8 = 1. Suppose -o - 4 = -s*o. Suppose -4 + 2 = -o*c. Put 5, c, -1 in descending order. 5, c, -1 Let n = -1/66 + -29/22. Suppose 2*k + 12 = -3*b, -5*b - 16 = 3*k + 4. Let p be (-2)/b*-2*9. Put 0.4, p, n in descending order. 0.4, n, p Let p be (-119)/(-4) + (-48)/64. Let v = -27 + p. Put 9, 5, v in ascending order. v, 5, 9 Let u(s) = -2*s**2. Suppose c + 3 = -3*k - c, -c = 3*k. Let b be u(k). Sort -10, b, 1 in descending order. 1, b, -10 Let g = -202/5 + 40. Let f = 11 - 6. Sort g, f, 2 in decreasing order. f, 2, g Let i = 12.18 - 12.04. Suppose y + b = -2, 4*y + 6 = -2*b - b. Sort i, -0.5, y. -0.5, y, i Let z(l) = l**3 + 3*l**2 - 2*l + 4. Let x be z(-3). Suppose 2*v - 2 - x = 0. Let a be (-5)/(-105) + v/21. Put 1, 2, a in ascending order. a, 1, 2 Let v be (-126)/33 + (-10)/55. Suppose 4*f - f = 2*l - 21, 0 = 2*f - 2*l + 16. Put v, 1, f, -1 in descending order. 1, -1, v, f Let t be 68/20 + (-4)/10. Let x = t - 3. Let l be (-9)/3*2/(-6). Put 5, x, l in decreasing order. 5, l, x Let q = -967 - -904. Put -1, q, -3/2, 0.1 in descending order. 0.1, -1, -3/2, q Suppose 0 = 3*y - 63 + 45. Sort 2/17, y, -2, -3/5 in decreasing order. y, 2/17, -3/5, -2 Let b = -2.9 + 2.8. Let l = 0.5 + b. Put l, 2, -0.3 in decreasing order. 2, l, -0.3 Let z = -252 + 251. Sort z, -140, 0. -140, z, 0 Let r = -27317/1434 - 28/239. Let g = r - -787/42. Sort g, 2/13, -0.1 in increasing order. g, -0.1, 2/13 Suppose -7*g + 9*g = 2. Suppose -2*j - 40 = -44. Sort -7, j, g
{ "pile_set_name": "DM Mathematics" }
Let w(t) be the first derivative of t**4/4 - 3*t**3 + 9*t**2/2 + 5*t - 1. Calculate w(i). 13 Let x(y) = -y**2 + 8*y + 6. Let k be x(8). Let n = -17 - -19. Let a(g) = -3*g + 1 - 4*g**n + 3*g**2 + 4*g + 6*g. Give a(k). 7 Let i(o) = 4*o**2 - 2*o + 1. Suppose 3*a = -2*b + 23, -3*b = b + 8. Let y = a + -2. Suppose 2*l + 0 + y = -t, -4*t + 12 = -2*l. Give i(t). 3 Let i be (4*(-5)/50)/((-1)/5). Let w(p) = p - 4*p**2 + 3*p**3 - i - 7*p**2 + 0*p**2 + 14*p**2. Calculate w(-2). -16 Let g(v) = 4*v**3 + 48*v**2 - 21*v - 9. Let r(w) = -3*w**3 - 44*w**2 + 26*w + 8. Let t(h) = -5*g(h) - 4*r(h). Give t(-8). 5 Let y(p) = 2*p**2 + 4*p + 2. Let h(j) = -j**3 - j**2 - 2*j + 1. Suppose 6*d - 1 = 5. Let u be h(d). Give y(u). 8 Let i(k) = k**3 + 15*k**2 + 6*k - 2. Let a(z) = -114*z - 1953. Let s be a(-17). Calculate i(s). -92 Let u = 296 - 186. Let z(n) = -u*n + 38*n + 38*n + 36*n. Calculate z(2). 4 Let x(y) = -2*y**2 + 21*y - 34. Let a be x(9). Let g(c) = 57*c + 398. Calculate g(a). -1 Let x be 234/10 + 4/(-10). Let a = -20 + x. Let v(y) = y**3 - y - 684 + 685 - 2*y**a. Calculate v(-2). 11 Let v(f) be the second derivative of f - 1/2*f**2 + 0 + f**3. Suppose 72*y - 101*y - 177*y + 412 = 0. What is v(y)? 11 Let s(h) = -h**3 - 5*h**2 - 3*h + 2. Let g(z) = z**2 + 93*z + 1227. Let r be g(-77). What is s(r)? 17 Let t(m) = m**3 - 20*m**2 + 8*m - 63. Let o(u) = -u**3 + 21*u**2 - 6*u + 61. Let r(q) = 3*o(q) + 2*t(q). What is r(23)? 11 Let o(t) be the third derivative of t**8/20160 - t**7/840 - 7*t**5/30 - 71*t**2. Let b(k) be the third derivative of o(k). Calculate b(4). -8 Let t(d) = d**2 - 7*d. Let r(l) = -2*l - 1. Let x be r(-1). Let h be (-120)/140*-7*x. Let y be t(h). Let j(s) = -s**2 - 5*s + 7. Give j(y). 1 Let c(b) = -b**3 + 6*b**2 - 8*b + 17. Let x be c(5). Let q(f) = 12*f + 117 + 112 + 11*f**x + 2*f**3 - 231 - 3*f**3. Calculate q(12). -2 Let g(a) be the second derivative of -3*a**5/20 - a**3/6 + 4569*a. What is g(1)? -4 Suppose y - f + 205 - 213 = 0, 5*y - 2*f - 46 = 0. Let d(k) = k**2 - 18*k + 24*k + 13 - 18*k. What is d(y)? -7 Let r(o) = 11 + 41 + 68 - 21 + 46 - 9*o. Give r(16). 1 Let x(v) = -14*v**3 - 12*v**3 + 25*v**3 - 16 + 8*v - 3*v**2. Let o be x(-5). Let a(q) = -q**3 - 7*q**2 - 6*q - 2. What is a(o)? -2 Let v(l) = 8 - l**2 + 4 + 373*l - 381*l. Let f(p) = -5*p**2 + 5*p + 6. Let z(o) = o**2 + o + 1. Let b(h) = f(h) - 5*z(h). Let j be b(-1). Give v(j). 3 Let h(j) = -j**3 + 2*j**2 - 11*j - 1. Let c(a) = 3*a**3 - 9*a**2 + 49*a + 3. Let d(t) = -2*c(t) - 9*h(t). Determine d(3). 87 Let o = 583 - 581. Let k(a) = -a**o - 5*a - a**3 + 10*a**2 - 3*a - 106 + 108. Give k(8). 2 Let a(j) = -2*j - 8. Suppose -8*w = -13*w + 10*w. Suppose -5*z - 2*u - 35 = -u, w = z + 5*u + 7. Give a(z). 6 Let o(q) = -14*q**3 + 42*q**2 + 3*q + 66. Let k(w) = -2*w**3 + 5*w**2 + 2*w + 2. Let g(l) = -6*k(l) + o(l). Determine g(6). 0 Let a(j) be the third derivative of j**6/120 - 11*j**5/60 - 2*j**4/3 + 17*j**3/6 - 12061*j**2. What is a(12)? -31 Let v(q) = 23*q. Let b = -68 + 95. Suppose b = 6*u - 3. Suppose -u = -2*w - 3. Determine v(w). 23 Suppose 67*f + 22*f = 6*f + 415. Let o(y) be the third derivative of y**5/60 - 7*y**4/24 + y**3 + 5*y**2. What is o(f)? -4 Suppose -8*m - 379 = -99*m - 15. Let r(z) = z**3 - 3*z**2 + z + 16. Calculate r(m). 36 Let f(v) be the second derivative of -v**5/20 - 7*v**4/12 - 3*v**3/2 - 7*v**2/2 + 407*v. Suppose 0 = 5*r - 25, a - 4*r + 1 + 25 = 0. Give f(a). 11 Let y(d) = 2*d**3 + 6*d**2 + 3*d + 2. Let h(z) be the first derivative of z**4/4 + z**3/3 + 76. Let j(m) = -h(m) + y(m). Calculate j(-3). 11 Let h(s) = 19*s**2 + 24*s**2 + 12*s - 123*s**3 + 125*s**3 - 41*s**2 + 1. Give h(0). 1 Let i(s) = 8*s + 22. Let g(u) = 3*u + 11. Let c = -11 - -16. Let j(a) = c*g(a) - 2*i(a). Give j(0). 11 Let t(i) = i - 3. Let h be ((-88)/(-32))/11 - (-1034)/(-8). Let z = 129 + h. Calculate t(z). -3 Let i(u) = -3*u**3 + 2*u**2 - 3*u - 3. Let q(m) = 4*m**3 + 2*m + 4. Suppose -34 + 22 = 6*v. Let x(p) = v*q(p) - 3*i(p). Calculate x(4). -11 Let z(s) = s**2 + 2*s. Let i = 250 + -250. Let d be 0/(4 - (3 - i)). Calculate z(d). 0 Let u = -590269 + 590261. Let l be 7*((-1 - -1) + 1). Let q(z) = 3 - z - l*z + 1 - z**2. Give q(u). 4 Let t(w) = -230*w - 151*w + 374*w + 16. Calculate t(2). 2 Let p(r) = 6 + 39*r + 44*r - 77*r - 79. Give p(12). -1 Let d(o) = -29*o - 43. Let s(q) = -147*q - 231. Let r(j) = 11*d(j) - 2*s(j). Determine r(-1). 14 Let c(v) = v**3 - 5*v**2 + v - 3. Let p(i) = 4*i - 11*i - 2*i - i**2 + 0*i**2 - 3. Let n(y) = y**2 - 13*y - 56. Let k be n(16). Let x be p(k). Give c(x). 2 Let d(r) = -r**3 - 3*r**2 - r - 1. Let y be (-7)/(21/(-156))*2. Let z = -96 + y. Suppose -16*v + z = -20*v. Calculate d(v). -3 Let b(f) = 3*f - 1. Let i be (-1 + (3 - -1))/((-105)/(-70)). Suppose i*m = -0 + 4. Let s be b(m). Let v(x) = -2*x**2 + 6*x + 4. Give v(s). -16 Let d be 752/1316 + 17/7. Let v(y) = -9*y**2 + 30*y. Give v(d). 9 Let y(u) be the second derivative of -u**5/20 - 5*u**4/6 + 5*u**3/3 - 9*u**2 + 1885*u. What is y(-11)? -7 Let v(o) be the second derivative of o**3/3 + 3*o + 1007. Suppose 4*x - 70 + 14 = 0. Suppose -x = 2*p - 2. Give v(p). -12 Let w(n) = -n + 8. Suppose 0 = -3*p - 3*z + 111, 5*p - 9*p + 5*z = -193. Let m be p/(-24)*(-3 + 7)*-1. Calculate w(m). 1 Suppose 167*j + 237*j - 41 = 767. Let o(l) = -l**3 + 10 + 2*l**2 - 23 + 9 + l**2. Determine o(j). 0 Let y(m) = -m**3 + 6*m**2 + m - 5. Let h = 33 + -29. Let p be ((-12)/(-84) - 6/(-7))*h. Give y(p). 31 Let h(q) = 7*q**3 + 5*q**2 + 14*q - 15. Let z(g) = 20*g**3 + 16*g**2 + 41*g - 45. Let f be (4/6)/(-5*(-6)/(-270)). Let x(p) = f*z(p) + 17*h(p). Give x(-10). -5 Suppose -4*o - 2 = o + 3*m, 2*m + 14 = 3*o. Let s(h) = -4 + h**2 + 21 - 4*h**2 + h - 20 + 2*h. Calculate s(o). -9 Let r(v) = v**2 - 8*v + 8. Let q = -2 - -4. Let y(h) = -7*h**q + 2*h + 2 + 14*h**2 - 6*h + 5*h. Let a be y(-1). Calculate r(a). 8 Let x(p) be the third derivative of -p**5/30 + p**3/6 - 18*p**2. Let t(j) = -6*j**2 - 8*j + 11. Let m(a) = -t(a) + 4*x(a). Calculate m(4). -7 Let l(d) = -9*d**2 - 10*d + 4. Let x(v) = 8*v**2 + 9*v - 3. Suppose 0 = 722*p - 720*p + 10. Let z(m) = p*l(m) - 6*x(m). Determine z(-2). -6 Let g be 1569*8/96 - (-1)/4. Let k = -126 + g. Let c(p) = p**2 - p + 2. What is c(k)? 22 Let s(p) be the second derivative of -1/2*p**2 - 6 + p + 1/3*p**3 - 1/4*p**4. Calculate s(1). -2 Let p(u) = -2*u**2 - 38*u + 26. Let q(f) = -f**2 - 32*f + 22. Let g(l) = -4*p(l) + 5*q(l). What is g(3)? 9 Let y(x) = -1 + 3*x - 7*x + x - 6*x. Let b(r) = 4*r**2 - 3*r - 3. Let v be b(-2). Let c(t) = t**2 - 20*t + 18. Let h be c(v). Calculate y(h). 8 Let l(g) = -g - 10. Let j = 4347 - 4342. Give l(j). -15 Suppose 0 = -13*w - 0*w + 26. Let m be w/(-3)*(5/2 + 2). Let j(o) = 1447 - 1447 + o**2 + 4*o. Give j(m). -3 Let x(u) = -u**3 - 3*u**2 + 89*u + 4. Let n be x(8). Let o(y) = y**3 - 12*y**2 - 3*y + 43. Determine o(n). 7 Let k be (1 - 1)/(6/2). Let b(m) = -m - 4. Let l(p) = 2*p + 9. Suppose 2*f + 19 = 5. Let o(g) = f*b(g) - 3*l(g). Calculate o(k). 1 Let j(h) = -h**3 + 16*h**2 - 3*h - 20. Let r be j(16). Let d = r - -44. Let m be ((-1)/(-2))/(6/d + 0). Let i(a) = a**2 + 6*a + 3. Give i(m). -5 Let f(x) = x**2 - 7*x - 10. Let c be (-51)/2*16/24. Let u = -40 - c. Let o = u + 31. Determine f(o). -2 Let u(j) = -13*j + 1. Let g be -5 - (-1)/(4/(-16)). Let c = 8 + g. Let v(k) = -k. Let s be v(c). Determine u(s). -12 Let k(i) = -i**2 + 1. Let f(q) = -3*q**2 + 13*q - 7. Let d(g) = -f(g) + 2*k(g). Suppose 4*s - 9*s = -10, 4*s = -4*y + 56. Give d(y). -3 Let v(r) = -r**3 + 4*r**2 - 2*r - 17. Let n(m) = -m**3 - 2*m**2 + 5*m - 3. Let c(l) = 2*n(l) - v(l). Let h = 12 - 21. Give c(h). -16 Suppose 4*c - 4 = 4*b, -2*b + 5*c - 1 + 2 = 0. Let x be 390/18 - b/6. Suppose 0 = 5*y - 8*f + 4*f + x, -f - 8 = y. Let m(l) = 3*l + 5. Calculate m(y). -13 Let l be 8/22 + 3/(-660)*-30. Let x(d) be the first derivative of -5 + l*d**2 + 2*d. Determine x(-5). -3 Let l = -23 + 31. Let m be -2*((-4)/l - 1). Suppose g - 3 = m. Let x(f) = 2*f + 8. Give x(g). 20 Let f(n) = 5*n**3 - 56*n**2 - 24*n + 385. Let a be f(11). Let s(x) = x**2 - 189. What is s(a)? -189 Let l(v) = 12*v + 12. Let c = 103 + -97. Let p(s) be the first derivative of -s**2 - 2*s - 7. Let n(u) = c*l(u) + 34*p(u). Calculate n(3). 16 Let s(h) be the first de
{ "pile_set_name": "DM Mathematics" }
lculate 0.4*0.1845. 0.0738 What is -1 times -149.538? 149.538 5 * 68479 342395 Product of 0.1 and -44.46. -4.446 Multiply -5.3 and -74. 392.2 0*6.514 0 What is the product of -415 and -11.3? 4689.5 0.3 times 459903 137970.9 308*-80 -24640 What is the product of 1 and -23.8851? -23.8851 What is the product of 529 and 85? 44965 What is 33508 times 1? 33508 -3.247 times 0.2 -0.6494 -0.05 times -0.093685 0.00468425 What is 1 times 8.25? 8.25 Work out 406.3 * -3. -1218.9 Work out -0.4 * -666.1. 266.44 759 times 0.022 16.698 Multiply -14384 and 4. -57536 Calculate -0.4*-146.41. 58.564 8672 times -0.062 -537.664 Product of 287 and -338.7. -97206.9 What is the product of -14862 and -17.4? 258598.8 Work out 0.13944 * 4. 0.55776 Work out -4993 * -0.4. 1997.2 Calculate -17*506.94. -8617.98 Product of 21.2 and 0.1. 2.12 Calculate 62857*-0.3. -18857.1 Product of -51.2 and -18.54. 949.248 7977 times -8 -63816 Product of 0.3 and -108668. -32600.4 49897*-0.62 -30936.14 -56627.2 times -2 113254.4 What is the product of 19.58 and -0.106? -2.07548 17.5 times -518 -9065 Calculate 2*23210. 46420 -31773 * 0.6 -19063.8 -8*-3633 29064 Multiply -117 and -48391. 5661747 What is 38093 times 0.1? 3809.3 Calculate 0.4*-90047. -36018.8 Product of 0.81891 and 0.4. 0.327564 289679*-3 -869037 -2013 * 0.07 -140.91 99 times -458 -45342 Multiply 4522 and 24. 108528 0.1*46078 4607.8 What is 4 times 38217? 152868 -0.6*-405 243 What is the product of -6.785 and 0.0097? -0.0658145 Work out 68654 * 0. 0 Work out -0.229 * 590. -135.11 Multiply 1.093 and 244. 266.692 4 times -3627 -14508 115.89 * 0.3 34.767 What is the product of 1.2 and 5298? 6357.6 Work out -1525571 * 2. -3051142 Calculate -11.5806*12. -138.9672 What is 39.04 times -0.05? -1.952 -209696 times -0.5 104848 -834.2 times 0.3 -250.26 Multiply -14 and -329. 4606 Multiply 0.054 and 0.0613. 0.0033102 Product of 789.1 and 0.06. 47.346 Work out 8 * -7569. -60552 817 * -4.1 -3349.7 What is the product of 48.76 and -0.15? -7.314 0.035 * -2037 -71.295 What is -130.4 times -55? 7172 Calculate 5*5524. 27620 Calculate 1242*-0.1881. -233.6202 What is -48.3 times 20? -966 Calculate 0.220232*0.4. 0.0880928 What is 1.59 times -199? -316.41 What is the product of 20 and 1.116? 22.32 0.1 * -32011 -3201.1 What is -1044 times -1? 1044 61.7 times -2895 -178621.5 0.05 times 415 20.75 Work out -0.2 * 16308. -3261.6 Work out -117 * -49667. 5811039 989*0.415 410.435 -1033.45 times 19 -19635.55 What is the product of -94000 and 0.23? -21620 27876*-0.5 -13938 Multiply -4 and 190.65. -762.6 Multiply 846 and 0.0525. 44.415 Work out -5 * -61257. 306285 0.159349 times -11 -1.752839 What is -2359 times 20? -47180 -0.2*8.3111 -1.66222 Multiply 108.4 and -287. -31110.8 Product of -3 and -6.018. 18.054 What is 0.1 times 0.0655? 0.00655 43976*0.4 17590.4 Product of -5 and 1208848. -6044240 0.4 * -0.165644 -0.0662576 -9.9*-1063 10523.7 Calculate -888.38*-0.5. 444.19 Multiply -10 and -3.6198. 36.198 -131*5781 -757311 Multiply 1 and -63.4. -63.4 Product of -1776 and -27. 47952 Work out -3689549 * 0.1. -368954.9 -0.3 times 3730.3 -1119.09 -50.36 times -20 1007.2 152.8 * 1.032 157.6896 Calculate 0.085*162. 13.77 Product of -60171 and 23. -1383933 What is -79270 times 17? -1347590 Work out 0.05 * -190052. -9502.6 91772*-0.11 -10094.92 Multiply 1876 and 0.055. 103.18 What is 0.05 times -0.0091636? -0.00045818 -7.7 * -100 770 What is 1.33 times -1174? -1561.42 9*298679 2688111 -0.3871 times -96 37.1616 Calculate -442.67*-5. 2213.35 0.13 times -412753 -53657.89 8362 * -15 -125430 1.9*-17257 -32788.3 Multiply -1.7 and 57207. -97251.9 Calculate -51*-0.263. 13.413 Calculate -5641785*0.5. -2820892.5 What is 2317 times 0.096? 222.432 Work out 343405 * 0.2. 68681 Product of 0.222 and -339. -75.258 Multiply 51738 and -0.2. -10347.6 0 * -0.101426 0 Calculate -0.1869577*-5. 0.9347885 -2 times 9.6727 -19.3454 What is the product of -0.5 and 235192? -117596 Calculate 16010*-0.05. -800.5 Work out -4.6 * 10.68. -49.128 -0.24 times 3217 -772.08 Product of -4 and 83300. -333200 What is the product of 3 and -443.519? -1330.557 What is the product of 275554 and 2? 551108 Calculate -309577*0.5. -154788.5 0.066 times -12413 -819.258 What is the product of -182 and 227? -41314 Work out 116420.9 * -4. -465683.6 Multiply 1494 and 0.0203. 30.3282 Calculate 86876*0.1. 8687.6 Calculate 8*1.0485. 8.388 0.1663*-4 -0.6652 Work out 0.08022 * 0.2. 0.016044 -3*0.265156 -0.795468 Work out 0.08 * -903. -72.24 Work out -6.599 * -24. 158.376 Work out 1508 * 0.08. 120.64 What is the product of -2 and -36729? 73458 -1294 times 258 -333852 Multiply 59 and 104. 6136 What is 0.5276 times -170? -89.692 Work out -0.05408 * 1.1. -0.059488 What is 0.0977 times -149.4? -14.59638 Multiply -0.10587 and 1. -0.10587 Multiply -1 and 6119. -6119 Product of 15.659 and 5. 78.295 Multiply -1142 and -1.4. 1598.8 Calculate -5839*26.5. -154733.5 What is -4 times -2.98? 11.92 Product of 22.5524 and 0.1. 2.25524 What is the product of -787182 and 0.01? -7871.82 0.4 * 0.595 0.238 -0.0218 * -75.3 1.64154 What is the product of -30.76 and 323? -9935.48 What is -1 times 0.050944? -0.050944 Calculate -10.43815*1. -10.43815 -9.734 * 0.15 -1.4601 Product of 2 and 0.008389. 0.016778 0.019 * 1666 31.654 398*-0.4 -159.2 0.2 times 14.3462 2.86924 Product of -7 and -0.0331. 0.2317 What is 1172 times 0.057? 66.804 Multiply -5470 and 22. -120340 2 times -3474.57 -6949.14 1.1*-1118 -1229.8 What is the product of -1.47074 and 3? -4.41222 51328 * 0.16 8212.48 3.795 times 0.043 0.163185 Work out -0.2 * 1.30161. -0.260322 752*-10.2 -7670.4 What is 0.388 times -50? -19.4 Work out -0.053272 * 2. -0.106544 -105.6 times 33 -3484.8 What is -3608 times -16? 57728 Multiply 3236 and 8. 25888 What is the product of -0.06 and 1069740? -64184.4 What is -2153.93 times -0.4? 861.572 What is the product of -0.12 and 0.02585? -0.003102 Work out -3 * 78086. -234258 -69.5 * 831 -57754.5 Product of 51 and 0.17408. 8.87808 Work out -1 * -93.285. 93.285 12*3.56303 42.75636 Calculate 0.2*-386. -77.2 Multiply -0.1 and -32283.3. 3228.33 Calculate -884.709*-2. 1769.418 -50 * -1315.7 65785 What is the product of -0.07 and 8.8558? -0.619906 Calculate -10*-5.9611. 59.611 Calculate 3*-0.21609. -0.64827 0.06*22345 1340.7 Product of -1.59808 and 2. -3.19616 Work out 0.48783 * -91. -44.39253 Work out 369.32 * 6. 2215.92 Product of 45961 and -0.2. -9192.2 Product of -768530 and 0.1. -76853 74920*-0.5 -37460 Multiply 6.3 and -5. -31.5 Calculate 4962.3*-0.4. -1984.92 Multiply 4547013 and 4. 18188052 102325 times -6 -613950 What is -15.336 times 0.02? -0.30672 What is the product of 9320 and 2.1? 19572 Product of -0.0515 and 0.0225. -0.00115875 -479 * 0 0 What is 173 times -0.0531? -9.1863 What is the product of -0.2 and 9.57? -1.914 Work out -167 * -584.8. 97661.6 Work out 1.959 * 35. 68.565 Product of -2.4425 and -0.33. 0.806025 What is the product of 4022 and -0.005? -20.11 Calculate 0.4*-1.894. -0.7576 Work out -20.62482 * -0.3. 6.187446 Calculate -1222*-0.1. 122.2 Work out -5 * -198611. 993055 What is the product of 0.44763 and -0.01? -0.0044763 76.6 times -7 -536.2 What is the product of -2.7823 and -46? 127.9858 What is 1613.18 times -10? -16131.8 What is -7.403 times -0.5? 3.7015 What is the product of 0.07 and -85915? -6014.05 Multiply -61 and 752. -45872 10 times 6401 64010 Work out -681 * -0.031. 21.111 Calculate -1.3*631.9. -821.47 Multiply -0.1 and 21966. -2196.6 4071.64 times -4 -16286.56 Product of -0.26349 and 10. -2.6349 Calculate 0.28*-288. -80.64 Calculate 0.02*215311. 4306.22 107664 times -0.27 -29069.28 -75*16.06 -1204.5 Multiply 6 and 48859. 293154 1.4735 * 4 5.894 What is -227 times -367? 83309 What is 0.1368474 times 4? 0.5473896 3*-1404 -4212 Product of -774 and 267. -206658 Work out -790 * 483. -381570 What is the product of 216.798 and -0.1? -21.6798 Work out 8496 * -8.1. -68817.6 What is 0.08 times -0.96329? -0.0770632 -0.1 * 108.8 -10.88 Work out 114063 * 0.01. 1140.63 What is -253 times -2.808? 710.424 Work out 3352 * -0.3. -1005.6 -942.9 times 0.47 -443.163 What is -20 times 6567? -131340 -0.405 times 0.0973 -0.0394065 Work out 2378 * 3. 7134 0.14*-183.836 -25.73704 -0.3*-5681 1704.3 2288.3*-0.1 -228.83 What is -0.1 times -126? 12.6 4 * -48
{ "pile_set_name": "DM Mathematics" }
+ 1. Let p be b(-1). Let u = p - -66. Does 4 divide u? True Let r(b) = 97*b**2 + 2*b. Does 20 divide r(4)? True Let d(y) = -y - 1. Let a be d(0). Let l = a - -6. Suppose l*j - 22 = 3*j. Does 8 divide j? False Does 101 divide 3/(-4) - (32463/(-36) - -16)? False Let l = -2 + 2. Let p(z) = -z**3 + 2*z**2 + 60. Does 8 divide p(l)? False Let v(l) = 9*l**2 + 642*l + l**3 - 2 + 3 - 632*l. Is 22 a factor of v(-7)? False Let n(m) = m**3 - 6*m**2 + 8*m + 15. Let c = -23 + 30. Does 30 divide n(c)? True Let h = -29 - -30. Is 103/2*(1 + h) a multiple of 31? False Let d be (12/(-10))/((-9)/60). Suppose 0 = d*g + g - 594. Is 11 a factor of g? True Let u(d) = d**2 + 28*d + 105. Let c be u(-6). Let i = -77 + 35. Let b = c - i. Is 15 a factor of b? True Suppose -a - 2 + 5 = 0. Suppose 3*k - 910 = -4*m - m, 373 = 2*m + a*k. Suppose -6*r = 17 - m. Is r a multiple of 9? True Let m(o) = 2*o**2 + 30*o + 25. Is 15 a factor of m(-20)? True Let m(c) = 2*c**2 - 21*c + 6. Let l be m(9). Does 3 divide (6/9)/((-3)/(-9)) - l? False Suppose 18*s = 14*s + 824. Does 7 divide s/10 - 6/(-15)? True Suppose 6*n - 3*n = -15. Let h be 4/(0 + (-2)/n). Suppose h = -6*r + 34. Is r a multiple of 4? True Let a = 4 + -6. Let c be a/(-2) - (3 + -7). Suppose -6*s = -c*s - 29. Is 10 a factor of s? False Suppose -2*y + 3*o = -6, 5*y = -10*o + 5*o + 15. Let b be ((-6)/(-4))/y*8. Suppose b*x - 177 + 1 = 0. Does 22 divide x? True Let a = 164 + 12. Is 5 a factor of a? False Suppose -20*r - 5*v + 1529 = -16*r, 3*r - v - 1123 = 0. Does 7 divide r? False Let u(a) be the third derivative of a**7/630 - a**6/120 - 7*a**5/60 + 2*a**2. Let t(n) be the third derivative of u(n). Is t(4) a multiple of 9? False Let k(n) = 21*n - 8. Let s = -28 - -32. Is k(s) a multiple of 7? False Let s(c) = 7 - 9*c - c + c - 4*c. Let o be s(6). Is 29 a factor of o*(1 - (5 - 3))? False Let d be 6/3 + -5 - 10. Let y = d + 16. Let b(l) = l**3 - l**2 - 1. Is b(y) a multiple of 17? True Let a = -15 - -42. Let x = a + -11. Is 16 a factor of x? True Let a(h) = 16*h + 2*h**2 - 16*h - h**2. Suppose 3*z + z = -4*d + 24, 2*z - 24 = -5*d. Does 4 divide a(z)? True Suppose -8*z + 19738 - 2370 = 0. Is 40 a factor of z? False Suppose 4*g = -0*s - 3*s - 2, 3 = -2*s - 3*g. Let m = -2 + s. Suppose -79 = -m*d + u, -4*u - 2 = -6. Does 6 divide d? False Let x(k) = -5*k**2 - 9*k - 3. Let o(m) = 14*m**2 + 27*m + 9. Let s(f) = 4*o(f) + 11*x(f). Let n be s(-8). Let b = 28 + n. Is 23 a factor of b? True Let n be 39/(5*3/60). Suppose -10*z + 7*z = -n. Does 13 divide z? True Suppose -18 = b + 4*f, 4*f + 1 + 25 = 3*b. Suppose b*g + 0 = 4. Suppose g*a = -5*p + 129, -32 = 3*a + 2*p - 242. Is a a multiple of 24? True Let i = -9 + -5. Is 11 a factor of (-945)/i*(-8)/(-10)? False Suppose -b + 3 = -0*b. Let f be 7/5 + b/5. Suppose -5*m = f*c - 122, -2*m - 2*m = -c - 108. Does 15 divide m? False Let u(y) be the second derivative of y**5/20 + 5*y**4/6 - y**3/3 + 7*y. Is u(-10) a multiple of 5? True Let h(q) = -q - 4. Let p be -2 + -2*11/(-2). Let b be h(p). Let a = 23 + b. Does 6 divide a? False Suppose 9*n - 8064 = -27*n. Does 4 divide n? True Let c = -864 - -1212. Does 15 divide c? False Suppose -5*b - 759 = -4*n - 4*b, 2*n = -4*b + 384. Let s = n + -23. Let j = -109 + s. Does 26 divide j? False Suppose 37*c - 1343 = 36*c - 3*b, -c = -3*b - 1325. Does 58 divide c? True Let o(j) = j**2 - j - 6. Let m be o(4). Is (12 + (m - 2))*2 a multiple of 4? True Is (135/18 + -10)*(-80 + 0) a multiple of 6? False Let m = 43 + 70. Does 23 divide m? False Let a = 1059 - 969. Is a a multiple of 23? False Suppose -90882 = -182*r + 101*r. Does 11 divide r? True Let g(y) = -4*y - 12. Let z be g(-7). Let i be 15/5 + -3 + z. Let a = 25 - i. Is a a multiple of 7? False Let v = 65 + -107. Is 10 a factor of v/112 - 166/(-16)? True Let g = 37 - 17. Suppose 9*f + g = 14*f. Is f - (6 - 2 - 4) a multiple of 3? False Suppose -2*x = -1492 + 404. Is 17 a factor of x? True Let i = 3606 - 2420. Is i a multiple of 22? False Let r(o) = -o**3 - o + 11. Let x(t) = t**3 + 6*t**2 + 9*t. Let y be x(-4). Is 26 a factor of r(y)? False Let q = -9 + 3. Let n(k) = -k**2 - 6*k + 3. Let w be n(q). Is 11 a factor of (-40)/(-6)*w + 2? True Suppose 0 = -214*x + 184*x + 120210. Is x a multiple of 14? False Let d = -34 + 41. Does 24 divide 16/5*d/((-14)/(-15))? True Suppose -5*o - 6*t - 490 = -5*t, 2*o - 3*t = -213. Let u = o - -137. Is u a multiple of 15? False Suppose -4*t + 2 + 10 = 0. Suppose -6*a + 12 = -0. Suppose t*h - a = 109. Is h a multiple of 12? False Let o(j) = j**3 + 24*j**2 - 156. Does 11 divide o(-17)? False Let o = -580 - -951. Is 9 a factor of o? False Suppose 0 = -5*m - 22 - 473. Is 8 a factor of (m/(-44))/(3/32)? True Suppose -4*u = -u - 507. Suppose -4*x + 2*o - o + u = 0, -x + 51 = -2*o. Is 20 a factor of x? False Suppose -8*q + 10*q - 48 = 0. Is 4 a factor of q? True Let d be 5*(6/(-10))/1. Let y be ((-1)/(-3))/(d/(-18)). Is 8 a factor of y/(-9) + (-1888)/(-72)? False Suppose -h - 3*m = -7*m + 15, 3*h - 4*m + 69 = 0. Let f = -14 - h. Suppose -n + 11 = -f. Does 24 divide n? True Suppose -i = -113 + 68. Is i a multiple of 6? False Let x(w) = -71*w. Let h be 7/(-2)*416/(-56). Let z = -27 + h. Does 16 divide x(z)? False Suppose -5*a - 5*z - 269 = -6*a, a + z - 263 = 0. Suppose -3*g + a = -138. Does 37 divide g? False Let i = -496 + 704. Suppose 5*f - 3*b = 347, 3*f - 2*b = -0*b + i. Is f a multiple of 10? True Let f be 99/22*(-6)/(-4)*44. Let k = -87 + f. Is 14 a factor of k? True Let t(j) = -11*j**3 + j**2 + 91*j + 359. Does 8 divide t(-4)? False Let k be (16/(-40))/(2/(-30)). Suppose -4*f + k*f = 26. Does 5 divide f? False Let s be (-5152)/(-144) + 2/9. Let p be (-36)/90 - s/10. Let y(g) = -21*g - 11. Is 16 a factor of y(p)? False Let k(f) be the first derivative of -29*f**2/2 - 24*f - 17. Is k(-8) a multiple of 26? True Suppose 0 = 3*p + 2*v - 22, -2*p - 4*v = -4*p - 12. Let w = 52 - p. Is w a multiple of 8? True Let j = -34 + 34. Suppose j = -2*v + 3*p - 5, p = 4*v + 3*p - 14. Suppose 5*u - 150 = 5*d, -3*u = -7*u + v*d + 128. Does 7 divide u? False Let y = -27 + 32. Suppose 2*a = -2*v + 22, y*v - 65 + 6 = -3*a. Does 2 divide v? False Suppose 0 = -10*k + 23*k - 9152. Is k a multiple of 4? True Let v(z) = -373*z - 42. Does 32 divide v(-2)? True Suppose 10 = 3*u - 32. Does 13 divide 288/2*u/28? False Suppose 0 = t - 3*t + 648. Suppose -126 = -2*i - 3*k + 88, 3*i = -3*k + t. Is i a multiple of 16? False Let o(i) = i**2 - 19*i - 46. Does 4 divide o(22)? True Let o be (-350)/(-7) - 2/(-2). Suppose -5*a - o = -331. Does 7 divide a? True Let s(k) = 4*k - 4. Let q(d) = 3*d - 5. Let v(l) = 3*q(l) - 2*s(l). Let f be v(-3). Is 13 a factor of (f - -8) + 0 + 28? True Let p(r) = 53*r + 3. Suppose 25 = 5*f - 3*y, -y = 5*f - 10*f + 15. Is 8 a factor of p(f)? False Let o(b) = -b**3 + 13*b**2 - 16*b + 10. Let i be o(12). Let p = i + 55. Is 10 a factor of p? False Let p = -49 + 283. Suppose 3*k - 9*k = -p. Does 13 divide k? True Let d(o) be the first derivative of -o**3/3 - 11*o**2/2 + 22*o - 4. Does 16 divide d(-10)? True Let o = 30 + -32. Let d(c) = -2*c**3 - 3*c**2 - 2*c - 2. Is d(o) a multiple of 6? True Suppose -4*u + 27 = 7. Suppose 4*q + c - 273 = 0, 336 = u*q - 0*c - 4*c. Is q a multiple of 17? True Suppose 0*g + 2*g - 14 = 0. Suppose g = 2*k + 25. Is (-213)/(-12) - k/(-12) a multiple of 7? False Suppose -5*s = 3*h - 1627 - 793, 4*s = 2*h - 1606. Is 14 a factor of h? False Let q = 1021 + -708. Does 8 divide q? False Let k = -2 + -6. Let c = -10 - k. Let o(q) = -11*q. Is o(c) a multiple of 6? False Suppose -p - 6 = -3*p. Suppose p*f = 5*f - 70. Does 35 divide f? True Let z(m) = 3*m**3 - 23*m**2 + 16*m - 32. Let f(q) = -q**3 + 8*q**2 - 5*q + 11. Let a(i) = -7*f(i) - 2*z(i). Is a(10) a multiple of 17? True Let b(u) = u**3 - 4*u**2 - 6*u + 11. Let r be b(5). Is 17 a factor of (65 - 2) + -8 + r? False Suppose 0 = 46*c + 7*c - 133931. Does 19 divide c? True Let y(q) = -q**3 - 25*q**2 - 5*q - 98. Does 9 divide y(-25)? True Let t be (49/(-3))/(9/(-27)). Let o = t - 39. Is 6 a factor of (66/4)/(5/o)? False Let l(c) = c - 8. Let w be l(10). Let m(h) = -w*h - 6*h**2 + 0 + 5*h + 2 - h**3. Is 10 a factor of m(-7)? True Let f = -2 - -3. Suppose 0 = n - 2*b - 82, f = -3*b - 2. Is n a multiple of 20? True Let a
{ "pile_set_name": "DM Mathematics" }
*2. 360*sqrt(11) + 14281 Simplify -3*((3*sqrt(325))**2 + -1)*6. -52632 Simplify ((-1*(sqrt(288) - (sqrt(288) + -4 - sqrt(288))) - (sqrt(288)*-4 + -4)) + 3)**2*5. 1080*sqrt(2) + 13005 Simplify 4 + (2*(-3 + sqrt(300) + (sqrt(300) + 1 - sqrt(300)) + -1)*-5)**2. -6000*sqrt(3) + 30904 Simplify (6*(sqrt(171) - (sqrt(171) - (sqrt(171) + 4))) + -4*sqrt(171)*6)**2. -2592*sqrt(19) + 55980 Simplify (1*(-5 + -1 + sqrt(512) + sqrt(512) - (sqrt(512) - ((1 + sqrt(512))*6 + sqrt(512)))))**2*-1. -32768 Simplify 4 + sqrt(77)/(sqrt(175) + 1*sqrt(175) - sqrt(175)) + 1. sqrt(11)/5 + 5 Simplify -2 + -4 + sqrt(1331) - (sqrt(1331) - (sqrt(1331) + 2)*-2)**2. -12001 - 253*sqrt(11) Simplify (6*((sqrt(192) - (sqrt(192) + 0)*-4) + -2*sqrt(192)*4 + -1))**2 + -4. 1728*sqrt(3) + 62240 Simplify (((4*sqrt(360))/sqrt(12))/sqrt(2))/((sqrt(18)/(sqrt(36)/sqrt(6)) + sqrt(3))*-5). -2*sqrt(5)/5 Simplify -1*((sqrt(56) - sqrt(4536))*1)/sqrt(8) + -3. -3 + 8*sqrt(7) Simplify (sqrt(225) - (sqrt(225) + (sqrt(225) - -3*sqrt(225))*-2))/(5*-3*(sqrt(5) - sqrt(5)*2)). 8*sqrt(5)/5 Simplify (((sqrt(72) + sqrt(72) + sqrt(72)*-2 + sqrt(72))/sqrt(6))/((sqrt(16)/sqrt(4) + sqrt(4))*5))**2. 3/100 Simplify (5*(5*sqrt(847)*2 + ((sqrt(847) + 0)*-2 - sqrt(847))))**2. 1037575 Simplify (-2 + (sqrt(19) - sqrt(931)) + (3*sqrt(114))/sqrt(6) + (((sqrt(190) - 1*sqrt(190)) + sqrt(190))/sqrt(10) + 2 + sqrt(76))*-3)**2. 192*sqrt(19) + 2800 Simplify (sqrt(612)*1 - (-5 + sqrt(17) + sqrt(17) + sqrt(17)*-1 + sqrt(17))) + (-6*sqrt(153)*-1)**2. 4*sqrt(17) + 5513 Simplify 1*(-5*((6*(2 + sqrt(128) + sqrt(128)) - sqrt(128) - sqrt(128)) + sqrt(128)*2 + sqrt(128) + -1))**2. 57200*sqrt(2) + 543825 Simplify (sqrt(135)/(sqrt(5)*-2) - (sqrt(162) - sqrt(162)*-1)/sqrt(6))/((sqrt(81) - -2*sqrt(81) - sqrt(81) - sqrt(9)) + sqrt(81)/(sqrt(27)/sqrt(3))). -5*sqrt(3)/12 Simplify ((-4*sqrt(176)*-1 - sqrt(176))/sqrt(8))/((sqrt(128) + 1*sqrt(128))*-1 - sqrt(128)). -sqrt(11)/8 Simplify (-1*(-2 + (sqrt(99) - sqrt(99)*-2*2)/(2*sqrt(324) + sqrt(9))))**2. -20*sqrt(11)/13 + 951/169 Simplify (6*(sqrt(190) - (sqrt(190)*2 + sqrt(190)))*-5)/(sqrt(60)/(sqrt(600) - (sqrt(600)*1 + sqrt(600)))). -600*sqrt(19) Simplify (0 + (0 + sqrt(1216) - sqrt(1216)) - (sqrt(1216) + -1 + 3))**2 + 3. 32*sqrt(19) + 1223 Simplify (sqrt(57)/(sqrt(3) - 1*(sqrt(3) - sqrt(12))) + -1*sqrt(171) + sqrt(19)*-2 + -3)**2. 27*sqrt(19) + 1575/4 Simplify (-1 + 3*sqrt(3))*3 - sqrt(21)/(sqrt(28) + sqrt(7))*4. -3 + 23*sqrt(3)/3 Simplify -1*(sqrt(176)*4 + sqrt(55)/(-1*sqrt(720))). -191*sqrt(11)/12 Simplify ((sqrt(90)*3)/sqrt(5) - sqrt(18))/(sqrt(72)/sqrt(8)*-4). -sqrt(2)/2 Simplify (3*sqrt(720)*-5 + (-5*sqrt(40)*3)/sqrt(8))**2. 190125 Simplify 2*((4 + (0 + sqrt(1700) - sqrt(1700)))*3 + 5)**2. 578 Simplify (-5*(-1*sqrt(209)*-4 - sqrt(209)))/((sqrt(7920)*1)/sqrt(5)). -5*sqrt(19)/4 Simplify ((sqrt(208)/(sqrt(36)*-1))/((sqrt(700)*-3)/sqrt(7)))**2. 13/2025 Simplify ((sqrt(405) + 0)*-6 + 4)**2 - 5*(sqrt(405) + sqrt(405) + -1)*6. -972*sqrt(5) + 14626 Simplify 2*(((sqrt(13) - (sqrt(208) + sqrt(13)))*-2)**2 + (1 + sqrt(1053))**2 - ((sqrt(104)/sqrt(2)*-2)/sqrt(4))**2). 36*sqrt(13) + 3668 Simplify ((sqrt(1053) + 1 + 5)*5 + ((-2 + sqrt(1053) - sqrt(1053)) + sqrt(1053))*5 + -2)**2. 3240*sqrt(13) + 105624 Simplify ((sqrt(75)/sqrt(3)*-6 + sqrt(25) + sqrt(25))/sqrt(180) - (-4 + -3 + (sqrt(5) - sqrt(15)/sqrt(3)) + -5))**2. -16*sqrt(5) + 1316/9 Simplify ((sqrt(19) - (sqrt(2736) - sqrt(2736)*5)) + 1 + sqrt(209)/((-1*sqrt(132))/sqrt(12)))**2. 96*sqrt(19) + 43777 Simplify ((sqrt(2400)*1)/(-3*sqrt(192)) + 0)**2. 25/18 Simplify (2 + (sqrt(1900)*3 - sqrt(1900)) - -5*(-4 + sqrt(19) + -2 - sqrt(19)))**2. -1120*sqrt(19) + 8384 Simplify ((-2*sqrt(156) + sqrt(156))*-5 + -4*(sqrt(156) + sqrt(156)*-1))/((-3*sqrt(84)*1)/sqrt(7)). -5*sqrt(13)/3 Simplify -5*(sqrt(260)/(5*sqrt(40)/sqrt(4)))/((sqrt(72) + 1*sqrt(72))*-1 - sqrt(72)). sqrt(13)/18 Simplify -5*(((sqrt(75) + 0)*3)**2 + 0 + 2*sqrt(75)). -3375 - 50*sqrt(3) Simplify ((sqrt(56) - (3*sqrt(448))/sqrt(8))/sqrt(7))**2*-5. -160 Simplify (sqrt(405)*1*3 + -4)**2*-2. -7322 + 432*sqrt(5) Simplify (4*sqrt(315)/sqrt(5))/((sqrt(90) + 1*sqrt(90))/sqrt(10)). 2*sqrt(7) Simplify 0 + sqrt(2) + sqrt(8) - (1 + sqrt(128))**2 - ((sqrt(1152) - (sqrt(1152) + -1))**2 - sqrt(1152)). -130 + 11*sqrt(2) Simplify ((-2 + sqrt(272))*-1 + 3 + -4)**2*-1. -273 + 8*sqrt(17) Simplify (1 + -2 + -2 + sqrt(275) + (sqrt(275) - (sqrt(275) - (sqrt(275) + sqrt(275) + -6*-1*sqrt(275))**2)))*-2. -35194 - 10*sqrt(11) Simplify (2*(sqrt(539) + (sqrt(539) + ((0 + sqrt(539))*6 - sqrt(539)))**2) - (sqrt(539) + (sqrt(539) - (sqrt(539) + sqrt(539) + 1)) + 1 + 2)**2) + 1. 14*sqrt(11) + 38805 Simplify 5*(sqrt(17)*1 - sqrt(17)) + (sqrt(136)*2)/sqrt(8) - (3*sqrt(17) + 1)*2. -4*sqrt(17) - 2 Simplify (((4*-1*sqrt(72) - sqrt(72))**2 - sqrt(72)) + ((sqrt(72) + 5 + -3 + sqrt(72))**2 - sqrt(72)))*3. 108*sqrt(2) + 6276 Simplify ((sqrt(91) + -2*(sqrt(91) - (sqrt(91) + sqrt(91) + sqrt(91)*2)) + sqrt(91))*-2)/(-2*sqrt(28)/(sqrt(16)/sqrt(4))). 8*sqrt(13) Simplify 6*(sqrt(176)*1 + -4)*-1. -24*sqrt(11) + 24 Simplify ((sqrt(70)*-2)/sqrt(2))/(sqrt(5) - (sqrt(180)*-1 + sqrt(180))). -2*sqrt(7) Simplify 5 + (-2*2*sqrt(117))/(sqrt(81) - (-2*sqrt(81) + sqrt(81))). -2*sqrt(13)/3 + 5 Simplify (sqrt(176) - (-4 + sqrt(176)*2 + sqrt(176))**2)*-2 - ((sqrt(396)*1 - ((1 + sqrt(891))**2 + sqrt(11) + sqrt(11))) + 2). -186*sqrt(11) + 4090 Simplify ((sqrt(102) - 1*sqrt(102) - sqrt(102))/sqrt(6)*3)**2 + (0 + sqrt(1700))**2 + 3. 1856 Simplify (1 + 4*(-6*1*sqrt(192) + -1*sqrt(192) + 2))**2. -4032*sqrt(3) + 150609 Simplify (0 + sqrt(245) + sqrt(245))**2*5 + sqrt(245) + (sqrt(5) - (-3 + sqrt(15)/sqrt(3)))*1. 7*sqrt(5) + 4903 Simplify (5 + 0 + sqrt(2) - sqrt(2)) + (sqrt(2) - sqrt(6)/sqrt(3)*6)**2 + 1. 56 Simplify -1 + (-2*sqrt(1782))/((3*sqrt(1100) + sqrt(11) - sqrt(11)) + sqrt(11)). -1 - 18*sqrt(2)/31 Simplify ((-5*-6*sqrt(98)/sqrt(2))/(sqrt(84)/(6*(sqrt(12) + 3*sqrt(12) + sqrt(12)))))**2. 5670000 Simplify (-2*sqrt(7260) + sqrt(60) + sqrt(600)/(sqrt(10)*2))/((-1*sqrt(96)*2)/sqrt(8)). 41*sqrt(5)/4 Simplify (-1 + sqrt(13) + sqrt(13))*-2 + (1 + sqrt(1573))**2 + sqrt(13) + -4 + (sqrt(156)*1 + sqrt(156) + sqrt(156))/sqrt(12). 22*sqrt(13) + 1572 Simplify (sqrt(88) + 2*sqrt(88))/sqrt(8) - (1 + sqrt(11))*-5 - (sqrt(66) - sqrt(66)*-1*5)/sqrt(6). 5 + 2*sqrt(11) Simplify (sqrt(1152) + -2*sqrt(1152)*-5)/(-4*(sqrt(9) + sqrt(36)/sqrt(4)) - sqrt(36)*6). -22*sqrt(2)/5 Simplify -1*(-5 + (-3*sqrt(32) - sqrt(32)) + sqrt(32) - (sqrt(160)/sqrt(5) + 0)). 5 + 16*sqrt(2) Simplify (1 + -4*sqrt(612)*2)**2 + -4. -96*sqrt(17) + 39165 Simplify 3*((sqrt(143)*-3)/sqrt(11) + sqrt(13)) + (((sqrt(156) - 3*sqrt(156)*-5) + sqrt(156))/sqrt(12))**2. -6*sqrt(13) + 3757 Simplify ((sqrt(315)*-1*-3)/sqrt(9))/((sqrt(567)*-2 + sqrt(567))*5). -sqrt(5)/15 Simplify 1 + (sqrt(1088) - (sqrt(1088) + -1 + -5)**2) + (sqrt(119) - 4*1*sqrt(119))/sqrt(7). -1123 + 101*sqrt(17) Simplify (sqrt(1573) + -3 + sqrt(1573) + sqrt(1573) + -1)**2 - (2 + sqrt(39)/(sqrt(3) - (sqrt(3) + 3*sqrt(3)))). -791*sqrt(13)/3 + 14171 Simplify -1*(-1 + 1 + sqrt(1584) + -2*sqrt(704) + -3)**2. -185 - 24*sqrt(11) Simplify (sqrt(39)/sqrt(3)*6 - (1 + sqrt(832))) + ((sqrt(1573) + -1 - sqrt(1573))*-5)**2. -2*sqrt(13) + 24 Simplify (5 + sqrt(99) + sqrt(11))**2 + -2 - (sqrt(1584) + -2)*-6. 187 + 112*sqrt(11) Simplify (0 + 5*(sqrt(125) + 3*(sqrt(125) + 0) + sqrt(125))*1)**2*2. 156250 Simplify ((sqrt(16)/sqrt(8) + -5 + sqrt(2) - sqrt(504)/sqrt(7))*3 + 3)**2*2. 576*sqrt(2) + 864 Simplify (sqrt(425) - 4*(-3 + sqrt(425)) - (sqrt(425)*1 + -1))**2. -520*sqrt(17) + 6969 Simplify (((-1*sqrt(1216) - sqrt(19))**2 + sqrt(19) - sqrt(19)) + sqrt(19) - (sqrt(19) + 0 + (sqrt(19) + sqrt(76))**2) - sqrt(76)/(sqrt(36)*-4 - sqrt(4)))*-4. -5472 - 4*sqrt(19)/13 Simplify -3*(3*(sqrt(1216) + -2) + sqrt(1216)) + (sqrt(1216) - (4*(sqrt(1216) + 0) + sqrt(1216))**2)*2. -60782 - 80*sqrt(19) Simplify ((sqrt(65) - (6*(sqrt(65) - -2*sqrt(65)) - sqrt(65)))*-6)/(sqrt(60)/(1*sqrt(1452))). 1056*sqrt(13) Simplify (sqrt(20) - sqrt(80)*-3 - ((-1*sqrt(100) - sqrt(100))/sqrt(5) + sqrt(20)))/(sqrt(144)*2*4 + sqrt(144)). 4*sqrt(5)/27 Simplify (sqrt(3888) + (-1 + sqrt(3888))*5 + sqrt(3888))**2 + 3 + 5 + 1. -2520*sqrt(3) + 190546 Simplify ((sqrt(250)*2 - sqrt(250))/sqrt(10)*2)/(1*((sqrt(
{ "pile_set_name": "DM Mathematics" }
is the common denominator of x and -23/13? 130 Let w = -785 + 1227. Let x = -1393/3 + w. What is the common denominator of -115/24 and x? 24 Suppose -4*z = -4*r + 5*r + 15, 2*r - z = 6. What is the lowest common multiple of r and (720/252)/(4/14)? 10 Let x = -4943 - -44413/9. Calculate the common denominator of x and 23/25. 225 Find the common denominator of ((-1079)/(-166))/(9/(-2) - -1) and 57/4. 28 Let l = -5765/4 - -1455. Suppose 3*m - 5*f = -20134, -3*m + 4*f = -7004 + 27136. Let d = -147525/22 - m. Find the common denominator of l and d. 44 Let l = -662 - -767. What is the least common multiple of l and 21? 105 Let t = 1802123/55 + -32765. Find the common denominator of t and 43/60. 660 Let a = -21319094993/351 + 60738238. Let z = a + -974/13. Find the common denominator of z and -157/30. 270 Suppose -5*m + 41 = -19. Let y = -3 + m. Suppose -19 = -5*k - y. Calculate the lowest common multiple of k and 3. 6 Let r = -62/89 - -6376/6853. What is the common denominator of 13/56 and r? 616 Let v = -1654997/3982 + 9113/22. Let f = v + 35573/10860. Calculate the common denominator of f and 39/10. 60 Suppose -4*x = 5*p - 45, -p + 6 = x - 4. Calculate the smallest common multiple of 27 and p. 135 What is the lowest common multiple of 33 and (114/24 - 4)*12? 99 Calculate the common denominator of 3/(-12)*303/(-6) and (-2 - -3)*(-41)/2. 8 Let m be 2/(-8) + 369/36. Find the common denominator of 8/m*(-7 + 23/(-4)) and 8. 5 Let d = -2699 + 94499/35. Calculate the common denominator of 87/10 and d. 70 Let k be ((-40164)/8)/(3/4). Let q = -14195 - k. Let o = q + 75093/10. Calculate the common denominator of -89/16 and o. 80 Let l(o) = 21*o**2 + 1876 - 9*o**2 - 1861 + o**3. Calculate the smallest common multiple of l(-12) and 15. 15 What is the least common multiple of (-38)/4*-2*18/18 and 95? 95 Let b = 6727/10 - 676. What is the common denominator of b and -59/162? 810 Suppose 5*n + 4275 = 3*h, 2*n - h = -1354 - 356. Let k = -47344973/55480 - 34/6935. Let x = k - n. What is the common denominator of x and 85/2? 8 Find the common denominator of -17/6 and (3051/(-404))/9*(-4)/(-18). 606 Let d be 18758/11 - (-2 - -1) - -4. Let o = -1707 + d. Calculate the common denominator of o and ((-426)/8)/((-15)/2). 110 Let i = 544 - 472. What is the least common multiple of i and 48? 144 Let y be 35/(-7) + 2678/538. Let l = 2361/2690 - y. Find the common denominator of (-62)/(-2)*2/(-4) and l. 10 Let t be ((-1)/4)/((-18)/(-24))*237. Let l = t - -88. Let j = 9 - 6. Calculate the smallest common multiple of l and j. 9 Suppose 5*r - 33 = -4*k + 465, 0 = k + 5*r - 132. Calculate the least common multiple of 2 and k. 122 Find the common denominator of (1210/(-24))/(-5) + 0 and -9 - -11*(-51)/(-48). 48 Suppose 6*d + 6576 = 10*d. Let k = d + -18101/11. Find the common denominator of 33/13 and k. 143 Let x(v) = -v**3 + 7*v**2 + 5*v + 5. Let f be x(7). Calculate the common denominator of 126/f*(-4)/2 and 87/14. 70 Let w(j) = 11*j - 6 + 2*j - 8*j + 3*j - j**2. Calculate the least common multiple of w(4) and 5. 10 Let x = 56121/2 + -29837. Suppose 3*t + 0*t - 5*c = 5189, 0 = -5*t + 4*c + 8657. Let b = x + t. What is the common denominator of 19/4 and b? 4 Suppose 6 + 21 = 3*k - 3*i, k - 5*i = 13. Calculate the smallest common multiple of k and 236. 472 Suppose -2*j - 2 = -4*c, -j = -c - 2 + 3. Calculate the common denominator of -73/8 and (-776)/(-80) - (-1 - c). 40 Let i(d) = 14*d - 36. Calculate the least common multiple of 22 and i(4). 220 What is the common denominator of ((-76)/(-5))/((-1)/((-40)/72)) and 7/11? 99 Let x(u) = -4*u - 2. Let v be x(-1). Let g be -1 + v - (-2 + 0). Suppose -16 = -4*s + g*s. What is the least common multiple of s and 8? 16 Let x(a) = -a + 0*a + 3*a + 3*a + 7*a**2. Suppose 3*t = 5*p + 64, 0*p = -2*t + 2*p + 40. Calculate the least common multiple of x(-2) and t. 18 Let a = -1948 - -13597/7. Calculate the common denominator of -50/7 and a. 7 Let y(o) = o**3 + 5*o**2 - 2*o + 26. What is the least common multiple of y(-5) and 20? 180 Let s be ((-1)/(-6 - -4))/((-1)/2). Let x(r) = r**2. Suppose o = 5*m - 4, -o + 0*m - 5*m = -26. What is the least common multiple of o and x(s)? 11 Let o = 52/199 - 551/13532. Find the common denominator of o and -97/28. 476 Suppose -2*f = d - 2, 0*f + 2*d + 20 = 4*f. Let p be (-2)/f - (-34)/6. Calculate the lowest common multiple of 22 and (3 - p) + (-2 - -6). 22 Let b(w) = 56*w - 2. Let j be b(-1). Let t be 0 - j - 34/(-85). Let p = t - 113/2. Calculate the common denominator of -67/10 and p. 10 Calculate the smallest common multiple of 38/(5 - 4) + 2 and 25. 200 Let s be (6/8)/((-4)/(-208)). Suppose -9 = 3*b - s. Calculate the smallest common multiple of b and 6. 30 Let h = -188 + 158. Let q be 30/2*(-124)/6. Find the common denominator of -53/6 and (-1 - 0)/(h/q). 6 Let a(u) = u**3 + 10*u**2 - 11*u + 8. Suppose 0 = -2*r + 3*r + 11. Let m = -22 + 31. Calculate the smallest common multiple of a(r) and m. 72 Let s = -1789 - -32083/18. Find the common denominator of s and 7/(-14) + (58/3 - -4). 18 Suppose 5*d + 4*d + 36 = 0. Let k(l) = -l**3 - 7*l**2 + 6*l - 10. Let c be k(-8). Let n = c - d. What is the least common multiple of 2 and n? 10 What is the common denominator of ((-54)/4)/3*23/(-6) and 61/3? 12 Let u = 9463/41 - 461/2. What is the common denominator of -43/8 and u? 328 What is the common denominator of (-3627)/(-924) + (-1)/((-33)/6) and -26/9? 252 Let o(h) = -2*h - 10 + h + 0*h + 1. Suppose -f = -5, -3*y - 3*f - 27 = -6. Calculate the least common multiple of 10 and o(y). 30 Suppose 57*l = 48*l + 351. Calculate the smallest common multiple of 11 and l. 429 Let z be 1/(-2) + (-1360)/(-6). Let u = 3429799/14626 + -1/7313. Let y = u - z. Calculate the common denominator of y and 79/4. 12 Find the common denominator of (2738/(-315) - -9) + (-1)/3 and -23/405. 2835 Let o(w) = w**2 - 4*w + 2. Let c be (2 + 0)*10/4. Let v be o(c). Suppose 4*x - v + 3 = 0. What is the smallest common multiple of 7 and x? 7 Find the common denominator of -46/45 and (35952/(-1440)*(-1)/(-14))/1. 180 Suppose 2*b = z - 93, 3*z - 81 = -4*b + 228. What is the lowest common multiple of 121 and z? 1089 Suppose 7*o = -o + 112. Calculate the lowest common multiple of o and 49. 98 Suppose 7 = -3*t + 49. Suppose 3*k = 6*k + 30. Find the common denominator of 53/18 and k/10 + 39/t. 126 Suppose 690 = -8*p + 31*p. What is the smallest common multiple of p and 102? 510 Let g = -686425/56 - -12259. Let s = 2092 + -33485/16. Calculate the common denominator of s and g. 112 Let l = 3/91 - 4283/182. Calculate the common denominator of 28/47 and l. 94 Let r(l) = l**2 + 26*l + 184. Calculate the lowest common multiple of 12 and r(-10). 24 Let w = 26 + -36. What is the smallest common multiple of (-12)/(1/(w/4)) and 33? 330 Let k(b) = -6*b + 26. Let n be k(5). Calculate the least common multiple of ((40/(-15))/n)/((-1)/(-18)) and 30. 60 Let x(n) = n**2 + 4*n - 6. Let h be x(-5). Let s = 19 + h. Calculate the lowest common multiple of 6 and s. 18 Calculate the common denominator of 258/(-54) + -5 + (6 - 3) and -9/40. 360 Let u = -22 + 62. What is the smallest common multiple of u and 96? 480 Let x = -1024/5 - -205. What is the common denominator of -11/1252 and x? 6260 Let r be (-9598)/840*((-235)/10 - 4). Let x = -2173/7 + r. Find the common denominator of 75/16 and x. 48 Let q = -143/12 + 31/2. Let r be (-180)/3*72/10. Find the common denominator of (-39)/r + (-4)/(-18) and q. 48 Let o = -15 + 27. Calculate the smallest common multiple of 5 and (4/3)/(-2) + 128/o. 10 Calculate the common denominator of (-7*55/(-297))/((-2)/12) and 15/8. 72 Let r = 18 - 0. Suppose 3 = -h - 4*y - 11, h - 4*y = 26. Suppose -4*k + 22 = 3*u, -h*k + k = -u - r. What is the least common multiple of 14 and k? 28 Suppose 1117*n - 1275 = 1112*n. Calculate the smallest common multiple of n and 25. 1275 Let a = 34 + -23. Calculate the common denominator of 111/20 and a/(-84) - (-28)/(-98). 60 Let c = 19339/8520 - -65/213. Calculate the common denominator of 5/(-25) - (-86)/(-120) and c. 120 Let j be (-8)/(-36) - (88012/1395 + 1). Let r = -974/15 - j. What is the common denominator of r and 8/11? 341 What is the common denominator of -22 and (-16)/72 + 1262/(-72)? 4 Let l =
{ "pile_set_name": "DM Mathematics" }
1 and 359 unequal? True Is -4/633 less than or equal to 1? True Which is bigger: -55 or -51? -51 Which is bigger: -114/11 or -9? -9 Which is smaller: 199 or 197? 197 Which is greater: 39 or -9? 39 Which is greater: -649 or -648? -648 Which is greater: -0.1 or 40/3? 40/3 Which is smaller: 440 or 438? 438 Are 138 and 139 unequal? True Is 2662 greater than or equal to 2661? True Which is smaller: 27/7 or -4? -4 Is -6 greater than 0.507? False Which is smaller: 0.317 or -1? -1 Is -5 less than -5022? False Which is smaller: 8/31 or -1? -1 Which is smaller: -161 or -1287/8? -161 Is -17/86 greater than or equal to 1? False Is 1 >= -9/25? True Which is smaller: 0 or -24/839? -24/839 Does -1290 = -1281? False Which is greater: -239 or -240? -239 Is -49 at least -9? False Which is bigger: -22 or -21? -21 Which is smaller: 100 or 0.2? 0.2 Which is greater: -32 or -33? -32 Is -1559 at least as big as -1561? True Which is greater: 4178 or 4176? 4178 Is 0 bigger than -1/7942? True Is 880 != 2/5? True Which is smaller: 15 or 21? 15 Which is greater: 263 or 170? 263 Is 222 less than or equal to -0.1? False Which is smaller: -2/3 or -0.016? -2/3 Is 1/13 < -1/9? False Is -1 less than or equal to 3/200? True Which is greater: 5 or 77/12? 77/12 Which is smaller: -2/793 or 1? -2/793 Is 5329 > 5329? False Is 46/351 at least as big as -1? True Which is smaller: -68 or -66? -68 Which is smaller: 385 or 386? 385 Which is greater: 589 or 2944/5? 589 Which is bigger: -59 or -1/2? -1/2 Which is smaller: -132 or -8? -132 Which is bigger: -543 or 1? 1 Is 329 < 329? False Which is greater: 1 or 2/4133? 1 Is 7 greater than 387? False Which is smaller: -70 or -0.18? -70 Is 1/3411 at most 0? False Is -62 at most 19/6? True Which is smaller: 0 or -10/7023? -10/7023 Is -5 >= 82? False Are -31/80 and -4 unequal? True Does 0 = 512? False Which is smaller: -394 or -396? -396 Is -1 > -1? False Is 1399 smaller than 1399? False Which is greater: 1 or -2024? 1 Which is bigger: 3182 or 3187? 3187 Is 6 smaller than 0.11? False Which is smaller: 2/13 or -2/7281? -2/7281 Which is bigger: 1159 or 10432/9? 10432/9 Is 108 at least 541/5? False Is 2/333 > 0? True Which is smaller: 2 or 17/10? 17/10 Is -24793 less than or equal to -24793? True Which is bigger: 6484 or 6481? 6484 Which is greater: -1.2 or 1.9? 1.9 Is -824/25 less than or equal to -34? False Is -5 less than -39.72? False Which is greater: 121/7 or 17? 121/7 Which is bigger: 21 or 1/25? 21 Are 24 and 254 equal? False Is -2247/5 less than or equal to -448? True Is 111 > 0? True Which is smaller: 261 or -1/12? -1/12 Which is smaller: 22 or 39? 22 Is 18 greater than or equal to 0.029? True Which is greater: -39/10 or -5? -39/10 Which is smaller: 0 or 16/3937? 0 Which is greater: 2/55 or 2.3? 2.3 Is 0 smaller than -7/167? False Which is smaller: 398 or 366? 366 Is 594 less than 0.2? False Which is bigger: -30225 or -30224? -30224 Is 3/161 bigger than 1? False Which is greater: 14358 or 0? 14358 Is 579/2 less than 291? True Is -2/37 > -1? True Which is smaller: -76 or -309/4? -309/4 Does -13940 = -13941? False Is -441 smaller than -3535/8? False Which is greater: -2438 or -2436? -2436 Is -25 at least -0.4? False Do 2 and 39 have the same value? False Is -1/6284 greater than -1? True Which is greater: 13/4 or 2? 13/4 Which is greater: 864 or 3461/4? 3461/4 Is 2058/11 <= 187? False Which is bigger: 12 or -4? 12 Is -3/6701 less than 0? True Which is greater: -30/7 or -3? -3 Is -9 at most as big as -2? True Is -97/10 at least -11? True Is -0.2 at least 418? False Do -1 and 27/68 have the same value? False Does -90 = -15? False Do 6 and -1/36 have different values? True Which is greater: 0 or -2/745? 0 Is 62/137 bigger than 1? False Is -1 equal to -2/641? False Which is greater: 10/571 or -0.1? 10/571 Are -0.1 and -19 non-equal? True Are -213 and -1 equal? False Is -2 greater than -8? True Is -8.4 smaller than -1? True Which is greater: 1 or 1307? 1307 Is -7.7 at most as big as -77? False Which is bigger: -160/21 or -4/3? -4/3 Which is smaller: 5/1097 or 1? 5/1097 Are 5 and 5/29 unequal? True Is 3/15905 < -1? False Which is greater: -12 or 8? 8 Is 35 less than or equal to 35? True Which is greater: 0.15 or 2/3? 2/3 Which is bigger: 2 or 84/151? 2 Which is greater: 0 or -4/377? 0 Which is greater: 0 or -663? 0 Are 2/3 and 569 nonequal? True Is -2/415 at most 0.8? True Is 67 at least as big as 65? True Which is smaller: 146 or 145? 145 Is -108 <= -1416/13? False Which is greater: 3602 or 3601? 3602 Is 12 at most as big as 40/3? True Is 63/290 at most 1? True Is 1/495 greater than or equal to 1? False Which is smaller: 42 or -0.01? -0.01 Which is bigger: -7 or -23/4? -23/4 Are 242 and 241 equal? False Are -1394 and -1397 nonequal? True Is -1/6 smaller than 15/16? True Which is bigger: 2/3881 or -1? 2/3881 Is 6/101 less than -1? False Is 4414/7 less than or equal to 632? True Is -61 > -70? True Which is bigger: 844 or 10956/13? 844 Is 0 at most as big as -8/39? False Is -19 at most 71? True Is 0 at least as big as 4005? False Which is greater: -4 or -311/59? -4 Which is greater: -2861 or -2863? -2861 Is 1323 less than or equal to 0.1? False Which is smaller: -13231 or -13232? -13232 Which is bigger: -32/7 or -2.72? -2.72 Which is smaller: -1 or 1/2257? -1 Is 0.7 != 12/5? True Which is smaller: -60 or -56? -60 Are 0 and -10/173 equal? False Is 1667 at most as big as 0.2? False Which is smaller: -485 or -8220/17? -485 Is 1702 less than 1703? True Which is smaller: -0.25 or -16? -16 Which is smaller: 1 or 15/47? 15/47 Which is greater: 3 or 2/2797? 3 Which is smaller: 2206/7 or 316? 2206/7 Is 20848 < 20846? False Is -106 less than -109? False Which is smaller: -49 or -43? -49 Is -189/352 equal to -1? False Which is smaller: -90 or 46? -90 Is 2 < 156/67? True Do -1531 and -1529 have different values? True Which is smaller: 0.1 or -0.0404? -0.0404 Which is bigger: -12 or -89/7? -12 Is -211 less than or equal to -2324/11? False Which is smaller: -11/14 or -1? -1 Which is greater: 0 or -4/313? 0 Is 0 bigger than -25/17? True Which is smaller: -1/38233 or 1? -1/38233 Is 224 greater than or equal to 224? True Which is smaller: -6504 or -6505? -6505 Which is bigger: 0 or 2/164301? 2/164301 Is -1 less than 7.9? True Which is bigger: 18 or 130/7? 130/7 Is -8 < -21/8? True Which is bigger: 13 or 635? 635 Is -367/9 smaller than -41? False Which is smaller: 0 or 6/469? 0 Which is smaller: -246/7 or -35? -246/7 Which is smaller: 6 or 1/357? 1/357 Which is smaller: -11707 or -11706? -11707 Which is smaller: -358 or -359? -359 Is -79 < -7? True Which is smaller: 19 or 21? 19 Is 602 at most 603? True Is 34 greater than or equal to 2102/63? True Which is smaller: 1 or -2/2771? -2/2771 Is -1/356 >= -1? True Which is smaller: 1 or 1/172? 1/172 Is 453 at most 455? True Which is greater: 1 or 1/367? 1 Which is greater: -1/3 or 0.2008? 0.2008 Which is smaller: 679/3 or 225? 225 Are -9 and 9/11 equal? False Is 0.91 less than -74? False Which is smaller: 1 or 1.9019? 1 Is 1239/2 <= 620? True Is -147 at least as big as -162? True Is 0 greater than or equal to 2/849? False Which is smaller: 0 or -33/139? -33/139 Is -0.06 less than or equal to -1169/3? False Which is greater: -12 or -14? -12 Which is bigger: 3.41 or 3? 3.41 Is 316/9 greater than or equal to -0.1? True Which is bigger: 3 or 37? 37 Does 41/7 = 6? False Which is bigger: 878 or -0.2? 878 Which is smaller: 0.11 or -0.072? -0.072 Which is smaller: 44 or -0.2? -0.2 Which is smaller: -805 or -803? -805 Is -1/1677 less than -1? False Is -3 greater than 1378? False Is -1942 < -1943? False Which is bigger: 5638 or -3? 5638 Do 0 and -29 have different values? True Which is bigger: 59 or 56? 59 Is -1575 < -1575? False Which is smaller: 52 or 48? 48 Is 8963 at least 8965? False Which is smaller: 2041 or 6124/3? 2041 Is -7 >= -175/27? False Does 1/3 = 35? False Which is greater: -6 or -0.15? -0.15 Is -1/2 less than -1.9? False Which is greater: -284 or -0.2? -0.2 Is -476 <= -477? False Is -671 at most -668? True Which is smaller: 1/9 or 1? 1/9 Is 1393 not equal to 1396? True Which is smaller: 4471 or 4474? 4471 Which is greater: -0.9 or 0.0285? 0.0285 Which is bigger: 45.8 or -7? 45.8 Is 29/56 bigger than 1/4? True W
{ "pile_set_name": "DM Mathematics" }
qrt(91)))))/sqrt(7) - (-1 + (sqrt(13) + -2*sqrt(13))*6). 1 + 6*sqrt(13) Simplify (4*((sqrt(7) - (sqrt(7) + -1)) + 5)*2 + -1 + sqrt(1008) + -5 + sqrt(1008)*2)**2. 3024*sqrt(7) + 10836 Simplify -2*((sqrt(121)/(-4*sqrt(1331)))**2 + 1). -177/88 Simplify -3*((-2*sqrt(252))**2*1 + sqrt(252)) + -3. -3027 - 18*sqrt(7) Simplify -2*(1*sqrt(153)*2 + sqrt(153) + sqrt(153))/(sqrt(36)/sqrt(64)). -32*sqrt(17) Simplify ((sqrt(3) - 5*sqrt(6)/sqrt(2)) + sqrt(363)*-1 - sqrt(30)/(-2*sqrt(490) - sqrt(10)))**2 + -5. 49801/75 Simplify (((1*sqrt(77) - sqrt(77))*3 - sqrt(77)) + sqrt(77) - sqrt(77))/(sqrt(7) - ((sqrt(448) - (sqrt(448) - (sqrt(448) - sqrt(448)*-2))) + sqrt(7))) + 0. sqrt(11)/24 Simplify (-5 + (5 + 2 + sqrt(11))*-2 + 5*(sqrt(11) + sqrt(55)/sqrt(5)) + 3*(sqrt(11) + -2))**2. -550*sqrt(11) + 1956 Simplify (4*2*sqrt(66) - -5*sqrt(66)*-1)/(3*-2*sqrt(294) + sqrt(294)). -3*sqrt(11)/35 Simplify 3*((sqrt(14) + sqrt(112)/sqrt(2))/sqrt(2) + 4)*6. 72 + 54*sqrt(7) Simplify ((-4*-1*sqrt(133))/sqrt(7)*-3 + 4)*-5. -20 + 60*sqrt(19) Simplify 5*((sqrt(153)*2 + sqrt(153) + -2 + 2)*4)**2. 110160 Simplify (-6*-6*(sqrt(88)*-1 - sqrt(88) - sqrt(88) - sqrt(88)))/(sqrt(512) + -1*sqrt(512) + sqrt(24)/(sqrt(12)/sqrt(4))). -144*sqrt(11) Simplify (sqrt(72)/(sqrt(12)/sqrt(3)))/(-5*sqrt(9)*3). -sqrt(2)/15 Simplify (((sqrt(165)*-5)/sqrt(5))/sqrt(11))**2 + (sqrt(3) + 0)**2 + -3 + -2. 73 Simplify (((-4*(sqrt(88)*1 - sqrt(88)) - sqrt(88))*1)/(sqrt(32)/(sqrt(144)*2)))**2. 1584 Simplify (sqrt(70)*-3)/sqrt(10) + (sqrt(252)*-2)**2 - (sqrt(378)/sqrt(6) + -3)*-6. 15*sqrt(7) + 990 Simplify (sqrt(3) - (sqrt(3) + -1 + 5 - sqrt(3)))**2 - sqrt(3)*3*1 - (5 + sqrt(36)/(sqrt(12)*6) + sqrt(3)). -73*sqrt(3)/6 + 14 Simplify 5 + -4 + -1 + sqrt(245) + (sqrt(180)/sqrt(81))/(sqrt(8)/(sqrt(6)/sqrt(3) + sqrt(2))). 23*sqrt(5)/3 Simplify ((2 + sqrt(200))**2 + (sqrt(2) + -1)*-3)*-2*4. -1656 - 296*sqrt(2) Simplify ((sqrt(500) + (sqrt(500) - -2*sqrt(500)) + -5)*1)**2 + 1. -400*sqrt(5) + 8026 Simplify (sqrt(27) + 3 + sqrt(432))**2 + (-3 + sqrt(3))*-2*-4. 98*sqrt(3) + 660 Simplify (sqrt(1573) - ((2 + sqrt(1573))*-2 + sqrt(1573)) - (sqrt(1573) + ((sqrt(1573) + sqrt(1573)*-4 + sqrt(1573))*-3 - sqrt(1573))**2)) + 4. -39317 + 11*sqrt(13) Simplify (sqrt(112) + sqrt(112)*-2 + (-1 + sqrt(7))*-3)**2 + -4 + -1. -42*sqrt(7) + 347 Simplify ((sqrt(180) - (2 + sqrt(180) + -3))*-5)**2 + -2. 23 Simplify ((sqrt(1300) + sqrt(1300)*-1)*5*5 - ((sqrt(1300)*1 - sqrt(1300)) + 2 - (3*sqrt(1300)*-1 - sqrt(1300)))**2) + -5. -20809 - 160*sqrt(13) Simplify (1 + 3*sqrt(117) - sqrt(117) - (3 + sqrt(117) + 3 + sqrt(117)))*-5. 25 Simplify ((-1*-6*sqrt(209)*-3)/((sqrt(99) + -2*sqrt(99))/sqrt(9) - (sqrt(44) + sqrt(44)*1)))**2. 6156/25 Simplify 2 + (-3*((sqrt(539) - (-2*sqrt(539) - sqrt(539))) + -3 + sqrt(539))*4 + 1)**2. -31080*sqrt(11) + 1941771 Simplify ((sqrt(209)*-4*4)/(3*sqrt(11)*3))**2*4. 19456/81 Simplify (-5*((-2*sqrt(540) - sqrt(540)) + sqrt(540) + sqrt(540))/sqrt(12))/(sqrt(5184) - (sqrt(5184) - (sqrt(5184) + -2*sqrt(5184)))). -5*sqrt(5)/24 Simplify (1*(sqrt(300) - 1*sqrt(300)*3))**2*2. 2400 Simplify (((sqrt(51) - (sqrt(510) + -2*sqrt(510) - sqrt(510))/sqrt(10)) + 3*sqrt(459))/(-4*sqrt(3)*2*-2) + -2)**2. -3*sqrt(17) + 217/16 Simplify (1 + sqrt(125))**2 + sqrt(245)*2 - (sqrt(720)*-1*-5)**2. -17874 + 24*sqrt(5) Simplify -5*((sqrt(27) - sqrt(27)*-3*4)**2 + sqrt(27) + (-1*sqrt(81) - sqrt(81))/sqrt(3) + -3). -22800 + 15*sqrt(3) Simplify (sqrt(1216)*1 + (0 + sqrt(2736))**2 - (5 + 6*sqrt(304)))*-4*-4. -256*sqrt(19) + 43696 Simplify (4*(2*sqrt(2025) - sqrt(2025)))/(5*5*sqrt(20)/sqrt(4)). 36*sqrt(5)/25 Simplify ((sqrt(119) + -6*sqrt(119)*-1 - sqrt(119) - sqrt(119)) + sqrt(119) + (sqrt(119) + (-1*sqrt(119) - sqrt(119)))*3)/(sqrt(847)*1*3). sqrt(17)/11 Simplify (4 + sqrt(11) + (-2*sqrt(11)*2)**2 + (-2*(sqrt(66) + (sqrt(66) - 3*sqrt(66))) + sqrt(66))/sqrt(6))*-2. -360 - 8*sqrt(11) Simplify (1*sqrt(3)*-2 - sqrt(3) - sqrt(3) - (sqrt(300) - (sqrt(300) - (sqrt(300) + 2)))) + 4*(-3*sqrt(3)*-2)**2 + -2. -14*sqrt(3) + 428 Simplify (2*sqrt(363) + -2 + 2)*5. 110*sqrt(3) Simplify (((0 + sqrt(1008))**2 + sqrt(7) - sqrt(21)/(sqrt(3)*-2)) + -2)*4. 6*sqrt(7) + 4024 Simplify ((5*sqrt(187)*-1 - sqrt(187))*-3)/(sqrt(11) + sqrt(1100) + sqrt(1100)*1 + (1*sqrt(132) - sqrt(132))/sqrt(12)). 6*sqrt(17)/7 Simplify 5*(-2 + (-3*(1 + sqrt(175)) + sqrt(175) - sqrt(175)) - (-3*(sqrt(175) - (1*sqrt(175))**2) + 0)). -2650 Simplify 6*((sqrt(40) + (1*sqrt(320))/sqrt(8) - sqrt(40))/(3*sqrt(16)/sqrt(2)) + 3). 2*sqrt(5) + 18 Simplify ((3*3*((sqrt(209) - sqrt(209)*1) + sqrt(209)))/((2*sqrt(891) - sqrt(891))*6))**2. 19/36 Simplify -5 + (sqrt(24) + 2*sqrt(96)/sqrt(4))/((sqrt(32) + (sqrt(32) - sqrt(96)/sqrt(3)))/sqrt(4) + sqrt(8))*-1. -5 - 3*sqrt(3)/2 Simplify 3 + ((-4 + -2 + sqrt(7))*3)**2*-4. -1545 + 432*sqrt(7) Simplify 5*(0 + 6*(2 + sqrt(243))**2 + 3). 1080*sqrt(3) + 7425 Simplify (-5 + -1 + 1*2*sqrt(245) + 3)**2. -84*sqrt(5) + 989 Simplify -1 + -1*1*(sqrt(567) + -1 + sqrt(567)). -18*sqrt(7) Simplify -2*(-4 + (-5 + (sqrt(7) - (sqrt(7) + 4)))**2*-5). 818 Simplify ((-1*sqrt(3840) - sqrt(3840))/sqrt(4))/(-3*sqrt(528)/sqrt(11)). 4*sqrt(5)/3 Simplify ((sqrt(44) + sqrt(132)/sqrt(3) + sqrt(44))*-6*-3)/(sqrt(484)*-1 + sqrt(16)/sqrt(36)). -81*sqrt(11)/16 Simplify (-6*(2 + (-1*sqrt(132))/sqrt(12) + 2))**2. -288*sqrt(11) + 972 Simplify -5 + (5 + 2*(sqrt(147)*-2 - sqrt(147)) + 2*sqrt(147)*1 + sqrt(147) + (-4*(sqrt(147) + -1 + sqrt(147)) + sqrt(147) - sqrt(147)))**2. -1386*sqrt(3) + 17863 Simplify ((sqrt(13) + 2 + -4)**2 - (-1 + sqrt(13))*-1) + (5*-1*sqrt(52))**2. -3*sqrt(13) + 1316 Simplify (1 + sqrt(8)/(sqrt(64)*-1) + (sqrt(1078) + sqrt(1078) + sqrt(1078) + (sqrt(1078) - sqrt(1078)*2))/sqrt(11))**2. 55*sqrt(2)/2 + 3033/8 Simplify (3*(sqrt(2592) - (sqrt(2592) - sqrt(2592)*-3) - sqrt(2592)))/((sqrt(441) - (2*sqrt(441) + sqrt(441))) + sqrt(441) - (sqrt(9) + sqrt(81)*4)). 36*sqrt(2)/5 Simplify ((-3*sqrt(70)*1)/sqrt(10) + -2 - (2*sqrt(7056))/(sqrt(7) + (sqrt(189)/sqrt(3))/sqrt(9)))**2. 60*sqrt(7) + 1579 Simplify ((-2*sqrt(35)/sqrt(7) + -1 + 0 + -1)*-6)**2. 288*sqrt(5) + 864 Simplify ((sqrt(156) + -1*sqrt(156))/sqrt(4))/(sqrt(18)/(sqrt(24)/sqrt(4))) + -3*sqrt(468) + (sqrt(13) + -1 + 5)**2. -10*sqrt(13) + 29 Simplify ((sqrt(125) - sqrt(125)*2)**2 - (sqrt(45)/(sqrt(9) - sqrt(9)*-1))**2) + -3*(-4 + sqrt(245)). -21*sqrt(5) + 543/4 Simplify (sqrt(4500) + sqrt(4500) + -5*(-1 + sqrt(4500)) - (sqrt(4500) - (1 + sqrt(4500))*1))**2. -1080*sqrt(5) + 40536 Simplify (-3*(sqrt(152) - ((sqrt(152) - 2*sqrt(152)*-6) + sqrt(152))))/(-3*sqrt(968)*-2)*-2. -13*sqrt(19)/11 Simplify (-6*(sqrt(1700) + sqrt(1700) + -2) - (4 + 1*sqrt(1700)))**2*2*-1. -574728 + 4160*sqrt(17) Simplify (-4*(1 + sqrt(567) + sqrt(567)))**2 + (sqrt(77)/(sqrt(11) + (sqrt(704) - -1*sqrt(704)) + sqrt(11)))**2. 576*sqrt(7) + 11762503/324 Simplify (0 + sqrt(68)*2 - (sqrt(68) - 1*sqrt(68)*4 - sqrt(68)))**2. 2448 Simplify ((sqrt(204) - -2*sqrt(204)*1 - 5*(sqrt(204) - (sqrt(204) + sqrt(204) + sqrt(204)*-1)))/((-5*sqrt(108)*-4 - sqrt(108) - sqrt(108))/sqrt(9)))**2. 17/36 Simplify (sqrt(11) + -2 + 0)**2 + 5 + ((-5*sqrt(99)*2)/sqrt(9))**2. -4*sqrt(11) + 1120 Simplify (sqrt(931) + -2*sqrt(931)*3)*4 - (-3 + -2*sqrt(475))*-1. -150*sqrt(19) - 3 Simplify ((sqrt(140)/(sqrt(7) + (sqrt(567) - sqrt(567)*1)))/(sqrt(48)/(sqrt(36)/sqrt(3)) + 1*sqrt(4)*2))**2. 5/9 Simplify (((sqrt(156) - -1*-2*sqrt(156))*3)/(2*(sqrt(12) + (sqrt(12) - (sqrt(84)/(1*sqrt(7)) + sqrt(12)) - sqrt(12)))))**2. 117/4 Simplify (sqrt(192) - (4*sqrt(192) + -2)) + sqrt(192) - (sqrt(3) + sqrt(243) + 2 - sqrt(3) - (1 + sqrt(15)/sqrt(5) + sqrt(3))). -23*sqrt(3) + 1 Simplify (-4 + sqrt(350)/sqrt(7) + 1)**2 + (sqrt(242) + 2 + sqrt(242) + -1 + sqrt(242) - sqrt(242))**2 + 6*-1*sqrt(242). -52*sqrt(2) + 1028 Simplify 5*(-4 + sqrt(128) + 4 + (1 + 2*sqrt(2) - sqrt(10)/(1*sqrt(5)))). 5 + 45*sqrt(2) Simplify 3*(sqrt(245)*1 + 0 - sqrt(245) - sqrt(245))**2 + 2 + 3. 740 Simplify (((sqrt(119)*2 + sqrt(119) - sqrt(119)) + sqrt(119))*2)/((sqrt(7) + 3*sqrt(7))*3). sqrt(17)/2 Simplify (sqrt(200) + sqrt(200)*1 - (1 + sqrt(2)*-1)) + 4*(sqrt(98)*4)**2. 21*sqrt(2) + 6271 Simplify (sqrt(567) + -2*sqrt(567)*-5 + sqrt(567) + sqrt(567) - sqrt(567) - (-5 + sqrt(567)*-2))**2 + -5 + (sqrt(567) + -3 + -3)**2. 1152*sqrt(7) + 111755 S
{ "pile_set_name": "DM Mathematics" }
= -32 + h. Let b(v) be the second derivative of -v**3/6 + 2*v**2 - v. Let g(t) = 3*t - 11. Give m*g(l) + 11*b(l). l Let d(o) = -3*o**3 + 4*o. Let i(f) = -6*f - 7. Let k be i(-7). Let v be (-34)/(-10) + (-14)/k. Let z(y) = -3*y**3 + 3*y. What is v*d(r) - 4*z(r)? 3*r**3 Let s(i) = -4 + 4*i**2 + 5 - 3*i**2. Let p(q) = -2*q**3 + 6*q**2 + 3. Let c = -4 - 10. Let g = c - -15. What is g*p(m) - 5*s(m)? -2*m**3 + m**2 - 2 Let s(h) = 5*h**3 - 6*h**2 + h - 2. Let p be s(1). Let c(o) = 4*o - 3. Let b(v) = -17*v + 13. Determine p*b(n) - 9*c(n). -2*n + 1 Let h(x) = x**2 - 21*x + 13. Let g(b) = b**2 - 18*b + 11. Let m(j) = -7*g(j) + 6*h(j). Let l(n) = -n**3 + 6*n**2 + 3*n - 6. Calculate l(y) + 6*m(y). -y**3 + 3*y Let m(h) = 5*h + 161. Let l be m(-32). Let d(s) = s + 1. Let r(j) = -2. Determine l*d(y) + r(y). y - 1 Let z(n) = 7*n**2 - 3*n - 4. Let d(o) = -21*o**2 + 9*o + 11. Determine -4*d(t) - 11*z(t). 7*t**2 - 3*t Suppose 8*z = 3*z + 10. Let j(o) = -24*o + 11*o + 4*o + z*o + 1. Let g(c) = 10*c - 2. Determine 5*g(h) + 7*j(h). h - 3 Let b(d) = -2*d**2 + 9. Let o(y) = -4. Calculate -3*b(v) - 7*o(v). 6*v**2 + 1 Let j(c) = 10*c - 7. Let d(b) = -10*b + 7. Determine 3*d(l) + 2*j(l). -10*l + 7 Let h(t) = 4*t**3 + 23*t**2 + 30*t + 3. Let v(a) = 2*a**3 + 11*a**2 + 16*a + 2. What is -4*h(z) + 7*v(z)? -2*z**3 - 15*z**2 - 8*z + 2 Let v(f) = 2*f**2 + 6*f - 4. Let t(w) = w**2 + 5*w - 3. Suppose 18 = -13*p + 7*p. Let r = p + -1. Calculate r*t(k) + 3*v(k). 2*k**2 - 2*k Let d(c) = -c - 1. Let r(w) be the third derivative of -w**4/24 + 2*w**3/3 + 34*w**2 - 1. Determine -4*d(l) - r(l). 5*l Let w(z) = 13*z**3 + 8*z + 8. Let c(l) = -9*l**3 - 5*l - 5. Let a be ((-28)/(-35) - (-29)/(-5)) + 0. Determine a*w(p) - 8*c(p). 7*p**3 Let v(g) = -g. Let p(n) = 19*n - 2. Determine -p(d) - v(d). -18*d + 2 Let k be 5*(7/5 + -1). Let v(h) = -3*h**2 - 2*h + 4. Suppose -2*b = -o - 7, 8*b - 5*b = -5*o + 4. Let l(g) = -g**2 - g + 1. Determine k*l(n) + o*v(n). n**2 - 2 Let v(p) = -3*p**2 + 14*p + 6. Suppose -63 = 16*h + 65. Let q(t) = -2*t**2 + 9*t + 4. What is h*q(c) + 5*v(c)? c**2 - 2*c - 2 Let v(x) = -7*x - 5. Let m(i) = i**2 - 5*i - 43. Let n be m(10). Let h be 2/(0 - 1) + -4. Let j(l) = -8*l - 6. Give h*j(c) + n*v(c). -c + 1 Let m(x) be the second derivative of -x**2/2 - x. Let b(g) be the second derivative of 1/12*g**4 + 4*g**2 + 2*g + 0 + 0*g**3. Determine 3*b(l) + 24*m(l). 3*l**2 Let g(h) = -2*h - 2. Let x(k) = 7*k + 61. Determine -2*g(j) - x(j). -3*j - 57 Let w(o) = -o + 1. Let n(g) = -25*g**2 + 4*g - 3. Determine -n(a) - 2*w(a). 25*a**2 - 2*a + 1 Let a(p) = 102*p - 6. Let k(m) = 99*m - 5. Give -4*a(d) + 5*k(d). 87*d - 1 Let l(o) = 5*o**2 + 40*o + 26. Let j be l(-8). Let m(y) = y**3 + 3*y**2 + 3. Let h(n) = 4*n**3 + 12*n**2 + 13. Determine j*m(g) - 6*h(g). 2*g**3 + 6*g**2 Let m(a) = -155*a**2 - 3*a - 2. Let w(b) = 3*b. What is m(u) + w(u)? -155*u**2 - 2 Let s(r) = 13*r**2 + 2*r - 2. Let a(z) = -11*z**2 - 3*z + 1. Calculate 4*a(x) + 5*s(x). 21*x**2 - 2*x - 6 Let l(o) = 341*o**2 - 328*o**2 - 2*o - 7*o - 5. Let b(n) = -3*n**2 + 2*n + 1. Suppose -3*y = 2*y + 5. Let j be 6/(y + (-15)/(-6)). Calculate j*l(q) + 18*b(q). -2*q**2 - 2 Let a(n) = -3*n**3 + n**2 + 1 - 4 - 9 + 3. Let j(i) = i - 4. Let h be j(6). Let z(x) = -x**3 - 4. Calculate h*a(y) - 5*z(y). -y**3 + 2*y**2 + 2 Let n(j) = j. Let s = -16 + 34. Suppose -4*r + 5*k = 2*k - s, -4*r = -4*k - 16. Let m(d) = -2 - r*d + 3 + 1. Give -m(y) - 4*n(y). 2*y - 2 Let q(y) = -135*y + 55. Let c(i) = 4*i - 25. Let b be c(20). Let r(n) = -b + 29 + 0*n + 5*n + 24. Give 2*q(w) + 55*r(w). 5*w Let p(a) = 6*a**2 + 17*a - 8. Let r(u) = -2*u**2 - 6*u + 3. Let y be (12/(-10))/((-20)/(-100)). Determine y*p(b) - 17*r(b). -2*b**2 - 3 Let s(g) = -9*g + 23. Let c(u) = 7*u - 22. Calculate -5*c(d) - 4*s(d). d + 18 Let h(m) = 8*m**2 - 4*m + 17. Let v(q) = -15*q**2 + 10*q - 33. Give -5*h(a) - 2*v(a). -10*a**2 - 19 Let x(o) be the third derivative of -o**4/24 - o**3/6 - 4*o**2. Suppose -10*r + 14 = 4*r. Let n(b) = 4*b**2 + 4*b + 4. What is r*n(t) + 4*x(t)? 4*t**2 Let x(u) = 2*u**3 + 5*u**2 + 1. Let j(s) = 3*s**3 + 9*s**2 + 2. Let c(f) = 4*j(f) - 7*x(f). Let p(l) = -2*l**3 + l**2. Determine 3*c(k) - 4*p(k). 2*k**3 - k**2 + 3 Suppose -4*l + 2*d + 26 = 0, 0 = -89*d + 91*d - 2. Let u(h) = -22*h + 10. Let r(y) = -y - 4*y - 10*y + 7. What is l*r(o) - 5*u(o)? 5*o - 1 Let n(y) = 10*y - 141. Let r be n(14). Let k(c) be the second derivative of -7*c**4/12 + 3*c**2/2 + c. Let w(b) = b**2 - 1. Calculate r*k(q) - 5*w(q). 2*q**2 + 2 Let y(u) = 7*u**3 - 8*u**2 + 6*u + 7. Let r be ((-4)/12)/((-1)/3). Suppose -a - 4 = -3*a. Let q(h) = -h - 6 + h**a - h**3 - 9 + 14. What is r*y(w) + 6*q(w)? w**3 - 2*w**2 + 1 Let d(z) = 5*z**2 - 7*z + 2. Suppose -w + 82 = -5*o + 26, 0 = -5*o - w - 54. Let l(v) = 9*v**2 - 13*v + 4. Calculate o*d(q) + 6*l(q). -q**2 - q + 2 Let x(g) = 2*g + 5. Let a(c) = -3*c - 6. Let k be -3*2/12*(22 - 12). What is k*x(m) - 4*a(m)? 2*m - 1 Let k(s) = -15*s**3 - 375*s**2 - 22*s + 21. Let g(m) = -3*m**3 - 75*m**2 - 4*m + 4. Determine 11*g(u) - 2*k(u). -3*u**3 - 75*u**2 + 2 Let q(c) = 14*c**3 + 2*c**2 - 9*c - 2. Let t(d) = -44*d**3 - 7*d**2 + 28*d + 7. Determine -7*q(p) - 2*t(p). -10*p**3 + 7*p Let r(g) = -2*g + 1. Let k(x) = 12*x - 30. Determine k(t) + 24*r(t). -36*t - 6 Let i(v) = v**3 - 2*v**2 + 3. Suppose -5*j - 5 = -15. Let l(h) = 265 - h**j + 6*h**2 - 2*h**3 - 271. Calculate -9*i(d) - 4*l(d). -d**3 - 2*d**2 - 3 Let i(q) = 27 - 9*q + 30 - 61. Let k(s) = s**3 + 5*s**2 + 3*s + 1. Let c be k(-2). Let d(p) = 13*p + 6. Give c*i(j) + 5*d(j). 2*j + 2 Let l(j) = -5*j**2 + 16*j + 55. Let v(n) = -n**2 + 2*n + 1. Calculate l(r) - 6*v(r). r**2 + 4*r + 49 Let w(q) = 43*q**3 + 3*q**2 - 4*q + 3. Let l(c) = 172*c**3 + 11*c**2 - 14*c + 11. Determine 3*l(i) - 11*w(i). 43*i**3 + 2*i Let q(v) = -v. Let p(f) = 1850*f. Determine p(j) + 2220*q(j). -370*j Let o(b) = -3*b**3 - b**2 - b - 1. Let h(g) = g**3 - g**2 - 1. Let z = 138 - 139. What is z*h(f) + o(f)? -4*f**3 - f Let y(m) = 24*m**3 - 14*m - 10. Let o(b) be the second derivative of -b**5/4 + b**3/2 + b**2 + 36*b. Determine 14*o(j) + 3*y(j). 2*j**3 - 2 Let u(j) be the first derivative of 21*j**2/2 + 38. Let r(m) = -4*m. Determine -24*r(f) - 5*u(f). -9*f Suppose -5*q = -3 - 7. Let z(h) = 2660 - 5*h**2 - 6*h**2 - 2655 - 4*h + 7*h. Let s(u) = -5*u**2 + u + 2. Calculate q*z(f) - 5*s(f). 3*f**2 + f Let l(q) = q**3 - q**2 + 11. Let f be l(0). Let n(h) = -10 - h**2 - f - h + 21. Let x(k) = 9*k**2 + 8*k. Determine 24*n(d) + 3*x(d). 3*d**2 Let v(x) = x + 1. Let l(r) = 2 + r + 3*r - 2*r. Let g = -2301 + 2307. What is g*l(k) - 13*v(k)? -k - 1 Suppose 0 = -5*a + 133*t - 138*t + 30, 0 = -3*a + 2*t + 8. Let f(p) = -3*p**3 - 4*p**2 - p + 6. Let u(v) = -2*v**3 - 3*v**2 - v + 6. Determine a*u(i) - 3*f(i). i**3 - i + 6 Let l be (-6)/4*(3 + 3). Let z = l + 15. Let t(u) = 11*u + 12 + 2 - 5 + z*u**2 + 5. Let q(m) = 2*m**2 + 4*m + 5. What is -17*q(w) + 6*t(w)? 2*w**2 - 2*w - 1 Let i(x) be the second derivative of x**2/2 - x. Let n be (-2)/(-2*(2 - 3)). Let h(z) = -1 + 8*z + z - 6*z + 7. Determine n*h(s) + 5*i(s). -3*s - 1 Let t(p) = 3*p + 11. Let q be (6 + 63/(-12))/((-6)/(-56)). Let n(y) = -y - 5. What is q*n(z) + 3*t(z)? 2*z - 2 Let r(a) = 9*a**3 + 3*a**2 + 2*a - 4. Suppose 8*p + 42 - 10 = 0. Let t(q) = -10*q**3 - 4*q**2 - 3*q + 5. Calculate p*t(d) - 5*r(d). -5*d**3 + d**2 + 2*d Let z(s) = s**2 - 1. Let y(c) = 17*c**2 - 5 + 3 - 13*c**2 + 2*c. Let m(u) = -u**2 - 7*u - 2. Let k be m(0). Give k*z(o) + y(o). 2*o**2 + 2*o Suppose 0 = -5*v + 436 - 126. Let n = 67 - v. Let p(k) = -2*k - 2. Let g(d) = 4*d + 4. Calculate n*p(r) + 3*g(r). 2*r + 2 Let d(j) = -3*j**3 - j**2 + 1. Let v(l) = l**3 + l**2. Calculate d(c) + 5*v(c). 2*c**3 + 4*c**2 + 1 Let b(z) = z**2 + 5. Let h = 1 - 1. Let a = h + -1. Let k(s) = -580 + 286 + 293. Give a*b(l) - 3*k(l). -l**2 - 2 Let c(k) = 15*k + 6 - 4*k + 16*k**2 - 79*k**3 + 35*k**3 + 69*k**3. Let z(r) = 5*r**3 + 3*r**2 + 2*r + 1. Calculate 2*c(y) - 11*z(y). -5*y**3 - y**2 + 1 Let a(w) = -w**2 + w + w**2 + w**2. Suppose 4*c = -4*f - 40, -f - 3*c = -6*f - 18. Let l(p) = -p**3 - 6*p**2 - 5*p - 2. Give f*a(v) - l(v). v**3 - v + 2 Let x(b) be the first derivative of b**2 - 5*b + 1. Suppose -73*r - 42 = -59*r. Let a(m) = m - 3. Let j = 11 + -6.
{ "pile_set_name": "DM Mathematics" }
Is 0 less than h? False Suppose v + 4 = 2*m, v - m = 2 - 4. Suppose 0 = 4*o - o - 18. Let b = -2 + o. Which is smaller: v or b? v Let f = 27 + -29. Let c(j) = -j**3 - 5*j**2 - 2*j**2 + 5*j**2. Let v be c(f). Is v equal to -1/2? False Let s = -45 + 52. Do s and 41/5 have different values? True Let s(g) = -8*g**3 + 0 + 1 - g**2 + 16*g**3. Let t be s(-1). Which is bigger: t or -7? -7 Let v = -2/12233 - -391526/428155. Let y = -4/35 + v. Let l = y - 27/40. Which is smaller: 1 or l? l Let s = -0.29 + 0.47. Which is greater: s or -0.2? s Suppose 2 + 1 = 3*v. Let c = -10.8 + 1.8. Let x = c - -9. Which is smaller: x or v? x Let q = 2 + -1. Is -1 equal to q? False Let y be ((2 - 1)*-1)/(3/6). Is y greater than or equal to -1/4? False Let w(y) = -y**3 + 7*y**2 - 4*y - 2. Let u be w(6). Suppose -4 = h - u. Suppose 3*j - h = -f, -4*f = -f + 5*j - 14. Which is smaller: f or 1? 1 Let v = -55/3 - -18. Let l = 0.063 - 0.453. Let y = -0.29 - l. Which is smaller: y or v? v Let a = -0.63 + -0.41. Let m = -0.04 - a. Which is smaller: 7 or m? m Suppose 3*j + 4*b = 7, 0 + 1 = 2*j - b. Let i = -6/11155 - -6927303/89240. Let p = 78 - i. Which is bigger: j or p? j Let w = -20.15 - -20. Let i = w - -0.25. Are i and -5 nonequal? True Let n = 3 - 1. Let z = -1 - n. Let w be 2/(-6)*(-3 - 60/(-8)). Is w at least z? True Suppose -3*l - 6 = -0. Is -3 at most as big as l? True Let u = 3.23 - 3.1. Let d = 27.03 - 27. Let k = d - u. Is 0.6 at most k? False Let b be (-16)/(-6)*6/4. Suppose -4 = -2*o + 4. Do b and o have different values? False Suppose -4*w - 2*f + 6*f = 20, -4*w - 5*f = -25. Suppose w = 4*t, -2*m + 3 + 3 = 4*t. Suppose -2 = -2*p, -m*p = 4*l + 2*p - 25. Which is smaller: 6 or l? l Let m = -1.3 - -2. Let b = m + -0.73. Let d be (-1)/2*-2 + -2. Is d <= b? True Let f(q) = 3*q**2 - q + 1. Let c be f(1). Let w be ((-3)/2)/((-4)/8). Suppose 2*j + 8 = -w*l, 2*j = c*l - 2*l. Is j <= 0? True Suppose -8*r - 369 = -105. Is -31 <= r? False Let v = 271.1 - 258. Let m = v + -13. Are 0.2 and m unequal? True Suppose 6*f = f + 255. Which is bigger: f or 50? f Let r be (10/66)/((-2)/6). Let g(d) = 4*d**2 - 34*d + 15. Let k be g(8). Which is smaller: r or k? k Let u = -1 + 1. Let l be (u + -1)/((-14)/(-4)). Let y(g) = -g**3 - 14*g**2 + 14*g - 16. Let k be y(-15). Which is smaller: l or k? k Let x = 0.71 + -0.11. Is x != -1? True Let a be 0/(2*-1*1). Let o = 16/105 + -478/4515. Which is bigger: o or a? o Suppose 0 = -3*j + 32 + 7. Are 14 and j equal? False Let s(m) = 8677*m. Let h be s(6). Let t = 5466568/105 - h. Let z = t - -1/21. Is 0 less than or equal to z? True Let s = -0.3 - -0.1. Let n = -0.13 - -0.09. Let u = n - -0.04. Is s less than u? True Let l be (2/(-6))/(3/((-150)/(-2))). Is -9 >= l? False Let z = 2 - 3. Let q = z - -3. Let u = -1.9 + q. Which is bigger: -1/6 or u? u Let a = 14 - 2. Is -1 less than or equal to a? True Suppose -3*g + 2*g + 22 = 0. Is g at most 21? False Let f be 4/10 - (-24)/(-85). Let l be 16/((-12)/(-3)) - (0 + 5). Is l less than or equal to f? True Let l = 84499959/52 + -1625062. Let h = l + 253/4. Which is bigger: h or 1? 1 Suppose -20 + 6 = -3*d + q, 0 = 2*d + 3*q - 2. Let z = d + -4. Suppose 3*m - 4*m - 3 = z. Is -3 at least m? True Let z = 28 - 142/5. Is -11 < z? True Let v = 1 + 0. Suppose -2*x - 6 = 5*q, -q = -3*q - 4. Suppose 2*n + x*n = 8. Which is greater: v or n? n Let x = 176 + -180. Is x >= 18? False Let x = -0.86 - -0.06. Let k = x + 0.88. Which is greater: 0 or k? k Let a(z) = 3*z + 40. Let y be a(-10). Is 1 <= y? True Let v(z) = -z**3 - z**2 + 1. Let c be v(1). Let u be -6 - (c - 0/3). Let t = -2 - -1. Is t at most as big as u? False Suppose 0 = -3*j + 2*j. Let b be 1714/(-11) + 4/(-22). Let d = 464/3 + b. Is d != j? True Let c = -2286 - -16084/7. Which is smaller: 12 or c? c Let b = -0.1 - 0.9. Suppose -4*j - 85 = -21. Let n = -19 - j. Which is greater: b or n? b Let y = 156/595 + 2/85. Let x = -2.5 - -0.5. Is x != y? True Suppose -5*j - 25 = 0, -5*j + 7 = -5*z + 3*z. Which is greater: -19 or z? z Suppose c + 2*q = -7, -3*q + 21 = 4*c - 6*c. Is c bigger than -12? True Let w = -27 + 26. Which is smaller: w or 1/11? w Let r = 0 + 9. Suppose m + 4*c = -12, -4*c + 15 = 2*m - r*c. Let l = 2 + m. Is 4/7 at most as big as l? True Let b = 1/23 + 221/207. Which is greater: b or 0? b Let u be 3/(-126)*(0 + 1234). Let r = 89/3 + u. Is 0 bigger than r? False Let c = -53 - -53. Which is bigger: c or 19? 19 Let z be (3/(-2))/((-3)/4). Let s be 1 + -4 - (-2)/1. Let g be ((-2)/4)/(s/2). Which is bigger: z or g? z Let y(p) be the third derivative of p**5/60 - p**4/12 + p**2. Let m be y(3). Let o = -2 + m. Is 0.1 at most o? True Let p(u) = -u**2 + 4*u - 4. Let l be p(4). Let i = l + 3. Let b = 2/333 + -680/2331. Which is smaller: b or i? i Let v(n) = 2*n**3 + 5*n**2 - 6*n + 9. Let w(c) = c**3 - c**2 + 1. Let y(f) = -v(f) + w(f). Let p be y(-7). Which is smaller: p or -3? -3 Suppose -4*w = -9*w + 10. Suppose w = 5*y - 8. Suppose 0 = 4*o + 5*u + 12, o + 0*o + 4*u + 14 = 0. Is o at least y? True Let b = 40783/4 - 10470. Let c = 272 + b. Which is greater: -3 or c? c Suppose -3*h = -4*l + 23, -h = -2*h + 5*l - 15. Let g be 3/h*(-1)/(-3). Is 1 <= g? False Let u = 29 - 28.64. Is u less than -0.1? False Let o = -3 - -2.9. Let p = -1 - -4. Suppose i = p*i - 10. Which is smaller: i or o? o Let n be ((-2)/(-7))/((-2)/(-14)). Suppose 0*g + n*g - 6 = 0. Is g smaller than 3? False Let r = 2737/33 + -83. Suppose 4*n = -1 + 5. Is r less than n? True Let u be -2*(-51)/(-24) - -4. Let l be ((-2)/(-4))/(6/12). Which is greater: u or l? l Let v = 2 - -4. Is v != 4? True Let t = 0.1 - 5.1. Let y = -112 + 117.1. Let j = y + t. Is -1 at least as big as j? False Let i be 8/(-12) - 6/(-9). Suppose -2*q + 0*q = 4. Let l be (22/(-18) - q) + -1. Which is greater: i or l? i Let n be (-3)/(27/43710) + 2. Let u = n - -4807. Let b = u + 48. Which is bigger: 1 or b? 1 Let j = 17/30 - -161/60. Is 2 <= j? True Suppose -5*c + 33 = 4*p - 6*p, -20 = 5*p. Let l(h) = -2*h - 26. Let s be l(-15). Is s <= c? True Let o(g) = g**2 - 2*g. Suppose -5*k + 6*k = 3. Let a be o(k). Is 3 bigger than a? False Suppose m + 3*m = -40. Let g be (-27)/(-15) - 2/m. Which is smaller: g or 3? g Let d = 35 - 15. Is 18 at most d? True Let i(u) = u**2 + 4*u + 2. Let g(d) = d**3 - d - 1. Let z be g(-1). Let p be i(z). Is p < -7/4? False Suppose 0 = -4*l + 8, -x - 4*l + 4 + 4 = 0. Let g(y) = 2*y - 4. Let v be g(-3). Let r be (2/v)/(8/(-10)). Is r smaller than x? False Let x = 938 - 14054/15. Are 2 and x equal? False Let t = 29.01 - 29. Which is smaller: -3 or t? -3 Suppose -n = 3*f - 20, -2*f = 5*n - 0*f - 100. Let u be ((-3)/(-8))/(105/n). Which is smaller: u or 0? 0 Let j(o) = 9*o + 1. Let g be j(-1). Let s = g - -13. Suppose -s = t - 3*w + w, 0 = t - 3*w + 8. Are 1 and t equal? True Let s = -15 + 15. Which is smaller: -1/2 or s? -1/2 Let t = 0 - 0. Suppose t*p = 3*p - 15. Suppose -4*l + 9 = p. Are l and 1 equal? True Let i be 2757/(-4428) + 2/9. Let j = -2/123 + i. Let k = -1/6 - j. Is -2 less than or equal to k? True Let z = -8.23 - -0.33. Let b = -8 - z. Let x = 3 + -2. Which is bigger: x or b? x Let a = 8 + -5. Suppose a*h - 128 = h. Let s be (-4)/(-10) + h/(-60). Is s != 0? True Let m = -419717/135 + 3109. Which is smaller: m or 0? m Let q = 0.04 + -2.04. Let o = q - -4. Let z = 3 - o. Which is greater: -0.1 or z? z Let b = 2 + -3. Let n = 3 + -1. Let p = 0 - n. Is b bigger than p? True Suppose 0 = d + d - 2. Let i be 1 + (-8)/(-12)*-1. Which is bigger: d or i? d Let d be ((-4)/9)/((-4)/6). Suppose 3*y = -4*v + 23, 5*v + 11 = 4*y + 1. Which is greater: v or d? v Let a be (5/1)/((-2)/(-4)). Let l be (4/a)/((-1)/(-10)). Is 1 smaller than l? True Let b be (-10)/(-8)*(-10)/15. Is b at most as big as 2/5? True Let o = -11 - -6. Let r = o + 5.1. Let b(p) = p**3 - 7*p**2 + 5*p + 4. Let z be b(6). Which is greater: z or r? r Suppose 0 = 5*f - i + 38, 3*f - 2*f = -2*i - 1. Let l(p) = -3*p - 47. Let b be l(-13). Which is smaller: f or b? b Let q(g) = g + 2. Let s(p) = -p + 4. Let x be s(2). Let u be q(x). Suppose -u*a = a. Which is bigger: 1 or a? 1 Let j = -0.3 - -0.3. Let h be 3 - -3*(-3)/9. Is h less than j? False Let h(z) = z - 4. Let v be h(3). Let q be (-4)/14 + 72/105. Which is smaller: v or q? v Let b = 9
{ "pile_set_name": "DM Mathematics" }
-2*v = 43*x - 37*x - 26 for x. 5 Solve -433*p + 436*p - 18 = 3*d, d = 4*p - 6 for p. 0 Solve 0 = -h + 3*x - 10, -9 = 13*h - 4*x - 54 for h. 5 Solve -m + j + 109 = 101, -2*m = 5*j + 5 for m. 5 Solve -25 = -3*n + 4*p + 13, -2*p = 10 for n. 6 Solve 2*m - 5*u + 99 - 128 = 0, 9*m - u = 23 for m. 2 Solve 11*w + 2*b - 13 = 14*w, 0 = -w - 12*b + 59 for w. -1 Solve -530*k + 533*k + 3*w = 21, 2*k + 3*w - 16 = 0 for k. 5 Solve -309*f + 308*f = 0, a + 3*f + 1 = 0 for a. -1 Solve 3*u + 5*b + 116 = 0, 23*u + 2*b - 5 + 95 = 0 for u. -2 Solve -4*d + 173 = -13*n, d + 14 = -n + 2 for d. 1 Solve -7 = -5*l - 141*r + 143*r, -5*l - 5*r + 35 = 0 for l. 3 Solve l - 8 = -2*x, 1436*x - 1435*x + 3*l - 24 = 0 for x. 0 Solve 2*u = -548*g + 553*g + 74, 5*g + 185 = 5*u for u. 37 Solve -2*v = 26 - 32, 0 = 2*b - 3*v + 23 for b. -7 Solve -18 - 8 = -3*a + 5*s, -4*a + 16 = -2*s for a. 2 Solve -202*q + 203*q = -3*y - 10, 5 = 2*y + 3*q for y. -5 Solve 4*p + 3*n + 9 = 47, p + n = 9 for p. 11 Solve 0 = 4*x - z + 10, 6*x - 3*x = 6*z - 18 for x. -2 Solve -2*d + 201*o + 22 = 205*o, 3*d + o - 13 = 0 for d. 3 Solve 2*a - i + 48 - 51 = 0, -3*a - 2*i - 13 = 0 for a. -1 Solve -5*w - 2*u + 25 = 0, -159*w + 163*w + 19 = u for w. -1 Solve -14*g + 17*g = 10*w - 46, 10*w + g = 38 for w. 4 Solve -7*x + 5*x + 16 = k, -5*k + 52 = 3*x for x. 4 Solve u + 2*t - 7 = 0, -10*t + 5 = -u - 8*t for u. 1 Solve -3*d + z = -17, -5*d + 217*z + 19 = 220*z for d. 5 Solve -4*o - 2 = 2*q, 10*q = 5*o + 5*q - 35 for o. 2 Solve 53142*j - 20 = d + 53138*j, 4*d - 5*j = -36 for d. -4 Solve -13 = f + 2*t, 5*f - 2690 = -5*t - 2735 for f. -5 Solve 0 = -337*p + 336*p + 5*f + 19, -51 = -5*p + 3*f for p. 9 Solve -38 - 2 = 5*t, -227*i - 4 = -231*i + 2*t for i. -3 Solve 100 = -76*j + 52*j + 2*x, 3*x - 6*x + 6 = 0 for j. -4 Solve 88*q = -8*b + 89*q - 30, 5*q - 10 = 5*b for b. -4 Solve -101*p = -2*c - 100*p + 12, -14*p = -2*c + 12 for c. 6 Solve 0 = -2*j - 5*c - 5, 5*c = -4423*j + 4431*j - 105 for j. 10 Solve 2*a = -4*t, 6*a - 5*a + 56 = -4*a + 60*t - 56*t for a. -8 Solve 10*b - 64 = -3*d, 3*d - 37*b + 34 = -33*b for d. -2 Solve 2*f + 5*h - 19 = 0, f - 2*h + 10 = 6 for f. 2 Solve -4*o = 2*h + 36, 2*h - 532*o + 12 = -530*o for h. -10 Solve -336 = -4*x + 5*u - 347, 4*x - 4*u + 8 = 0 for x. 1 Solve 249*v - 252*v = 5*i - 37, i - 13 = -2*v for i. 5 Solve 4*i + 29*t = 25*t - 64, -9*i = 3*t + 114 for i. -11 Solve 5*n = 5*j, -2*j + 15*n - 138 = 59*n for j. -3 Solve -2*u = 4*n + 64, 0 = 49*u - 46*u + 12 for n. -14 Solve s = -9459 + 9465, r - 6*r = -3*s - 2 for r. 4 Solve -3*j - 4*k = -17, 3*j = j + 2*k - 342 + 316 for j. -5 Solve -74*z + 78*z + 33 = 3*v, -4*v - 5*z - 18 = 0 for v. 3 Solve 112*n = 114*n + 4*j + 28, 3*n + 8*j - 9*j = -7 for n. -4 Solve 4*x - 2*o + 6 = 0, 5*o = -47*x + 52*x + 15 for x. 0 Solve 4*j - 13 = z, 2*z - 4*j + 11*j = 2*j for z. -5 Solve 560*y - 565*y - 5*z = -90, -15*y + 5*z - 190 = 0 for y. -5 Solve l - k = 17, -4*k = -16*l - 7*k + 6 for l. 3 Solve -4*y = 2*c, -119*c + 115*c = -5*y + 52 for c. -8 Solve -2923*d + 12 = -2921*d, 19 = 5*p - d for p. 5 Solve -27 = -2*q - 5*w, -64 = -3*q + 3*q + 4*w - 84 for q. 1 Solve 17 = 2*d + k, d - 271*k - 21 = -274*k for d. 6 Solve -4*m - 15302 = 4*l - 15294, -2*l = -0*l - 4*m + 22 for l. -5 Solve 0 = -g - 2*t - 12, -66*g - 3*t - 16 = -65*g for g. -4 Solve 330*f - 326*f + 20*n = -52, 4*f + 3*n = -18 for f. -3 Solve d = 1289*t - 1290*t + 4, 0 = 6*t + 4*d - 28 for t. 6 Solve 372*u - 371*u = 3*d + 1, 1 = u + 2*d for u. 1 Solve 4*s + 12 = 0, 2*m + 2 = -455*s + 451*s for m. 5 Solve -2*q - 5 = v, 4*v = -5*q + 839 - 850 for v. 1 Solve -9 = 3*f + m, 3*m = -f - 16963 + 16960 for f. -3 Solve -178*q + 176*q - 16 = 5*x, 5*q = -2*x - 19 for q. -3 Solve -5*j - 9 + 24 = 0, 32 = -7*q - j for q. -5 Solve -2*a - 46*h + 42*h = 6, 2*h = -8*a + 4 for a. 1 Solve 5*v = -139*c + 136*c - 37, 0 = -3*c - 12 for v. -5 Solve -4*u = 4*v - 140, 0 = 4141*u - 4144*u - v + 109 for u. 37 Solve -23*o + 26*o = -3*m, o + 2 = m for m. 1 Solve -7*x - 2 = -9*x - v, -4*x = -2*v + 12 for x. -1 Solve 2*v = -42, 2*p + 7*v + 21 = 6*v - 0*v for p. 0 Solve a - 5 = -2*b, -781*a - 10 = 5*b - 786*a for b. 1 Solve 4*i + 2*w = 14, -18*i = -13*i - 3*w + 10 for i. 1 Solve 70 = 5*u - 5*n + 55, -3*u - 2*n - 26 = 0 for u. -4 Solve 4*y - 7 = i, 2*y - 29*i + 22*i + 29 = 0 for y. 3 Solve 362*l + 55 = -3*r + 360*l, 35*r = -l - 61 for r. -1 Solve -98 = -321*j + 319*j - 4*w, -5*w + 112 = -j for j. 3 Solve -4*h + 3*y = -1, -y - 1 = 124*h - 126*h for h. 1 Solve 103*q - 108*q - 2*k + 29 = 0, q + 4*k = -5 for q. 7 Solve -6*h = -4*t - 36, -615*t + 619*t = -h - 8 for t. -3 Solve -9*k = -p - 32, 0*k - 5*k + 45 = 30 for p. -5 Solve -5*c + 1 = -t, -2*t - 370 + 368 = 5*c for c. 0 Solve -19*x + 16 = -23*x, -g + x - 2 = 0 for g. -6 Solve -7*x + 6*x + 2 = -3*x, 5*x + 60 = -5*g for g. -11 Solve n + 3 = -20*x + 19*x, 2*x - 5*n + 13 = 0 for x. -4 Solve -5*c + 9 = r + 2, 2*r - 7*c + 37 = 0 for r. -8 Solve 2*f - 49 = -4*l + 45, -8*f - 2*l = -12 for f. -5 Solve 0 = -2*c + 35*g - 36*g + 9, -8*c = -4*g + 4 for c. 2 Solve -4*u = -2*j - 12, 3*u - 50*j = -54*j + 20 for u. 4 Solve 5*y - 33 = -6*k, 0 = 2*y - 3*k + 68 - 65 for y. 3 Solve 4*x - 45*a + 42*a = -40, -56 = 6*x - 4*a for x. -4 Solve -3*d + 3*g + 15 = 0, g - 28 = -5*d - 9 for d. 4 Solve 0 = -4*p + 2*d + 2, -194 + 217 = p - 5*d for p. -2 Solve -5*o = 6*n - 10, 1799*n + 3*o - 6 = 1798*n for n. 0 Solve 2*z = -2*i - 18, -i - 24 = 7*z - 3*z for z. -5 Solve 5*r = 5*w + 30, -32 + 42 = 2*w - 13*r for w. -8 Solve -4*o = q - 10, 3*o + 16*q - 24 = 18*q for o. 4 Solve 2*y - 4510 + 4524 = x, 10 = 5*x + 2*y for x. 4 Solve -5*p + 2*i = 20 - 105, -i + 68 = 4*p for p. 17 Solve -13944*w - 4*l = -13948*w + 12, 0 = 4*l + 20 for w. -2 Solve 3*z = 3258*i - 3255*i, 10 = -2*i for z. -5 Solve 4*o + 0*j + 11 = -3*j, 4*j + 4 = 0 for o. -2 Solve -o + 3 = 3*c, 37*c - 118 = 5*o - 29 for o. -3 Solve c = 5*w - 20, 0 = 4*c + 24*w + 23*w - 121 for c. -5 Solve 36 = -8*n + 3*n - 8*b, -2 = b for n. -4 Solve 6 = -a + 3*m, 11 = 2*a + 5*m + 12 for a. -3 Solve y - 4*u - 8 = 0, 2*y + 84 = 4*u + 92 for y. 0 Solve -2*p = -f + 6, 93*p - 18 = -4*f + 95*p for f. 4 Solve 0 = n + 5*p + 17, -n - 11*p - 48 = -7 for n. 3 Solve 4*i = 4*w - 48, 5*w - 1739*i - 60 = -1737*i for w. 12 Solve 696*n - 691*n - 2*l - 48 = 0, -4*l + 8 = 3*n for n. 8 Solve s - 1443 + 1426 = -i, 0 = -5*s - i + 93 for s. 19 Solve 5*v + 3 = -3*b + 8*v, -3*b = 4*v + 17 for b. -3 Solve 28832*m - 4*j = 28834*m + 38, 2*m = -3*j - 28 for m. 1 Solve -36*t + 31*t = p + 10, -35*t - 100 = p for t. -3 Solve k = 29*b - k - 68, 4*b + 20*k - 3 = 19*k for b. 2 Solve -2*q + 312 = -5*p + 299, 1 = 2*q - p for q. -1 Solve 192 - 197 = -v, v - 9 = y for y. -4 Solve 61013*h - 5 = 61014*h + 4*l, -5*h + 11 = 8*l for h. 7 Solve -5*y - 26 = n, -5*n + 99*y + 38 = 178*y - 82*y for n. 4 Solve 8*w = -5*t + 18, 8*w - 7 = -t + 3*w for t. 2 Solve 0 = 4*a + 5*r - 11, 94*a - 91*a - 5*r - 17 = 0 for a. 4 Solve 8*l + 4*d - 12 = 0, 5*l + 768 - 783 = 5*d for l. 2 Solve 2*n = -q, q - 8*n + 2 + 3 = 5*q - 5*n for q. 2 Solve -5*w + 5 = -3*r - 11, -4*w = r - 6 for w. 2 Solve 38 = 2*t + s + 11, -2*t - 5*s = -47 for t. 11 Solve -39 = 4*k + 5*r, 5*k = 2*r + 7 + 2 for k. -1 Solve 3*v - 3*o = -0*o, -10*o - 3*o = -4*v - 53 + 8 for v. 5 Solve 32*a = 33*a - 4*z, -4*a + 4*z = 0 for a. 0 Solve 0 = 5*l - k - 30, 604*l - 3*k = 599*l + 30 for l. 6 Solve 5*z = 5*b + 65, -413*b + 408*b - 3*z + 7 = 0 for b. -4 Solve 5*m - f + 15 = 0, 4*f - 30 - 18 = 21*m - 5*m for m. -3 Solve 5*c + 2389 = -q + 2379, -2*q + c = -2 for q. 0 Solve 3*o - 1136*b = -1135*b + 11, -7*o + 19 = -b for o. 2 Solve -4*h + 5*f = 44, -5343*h = -5339*h + 4*f + 8 for h. -6 Solve -4*x - 12 = 2*k, -1352*x + 6*k - 12 = -675*x - 673*x for x. -3 Solve -2*g = -0*q + 2*q, 3*g + 11*q = -8 for g. 1 Solve 0 = 3*p + 5*f + 61, -2*f = -2677*p + 2674*p + 37 for p. 3 Solve -5*v = 3*h - 5, -31 = -538*v + 534*v + 3*h for v. 4 Solve 4*m = 16, 28*u - 2*m = 29*u - 6 for u. -2 Solve -16 = 10*l - 5*z + 9*z, z + 4 = -3*l for l. 0 Solve 3*f - 19 = -18*s + 62, -285*s = -4*f - 287*s + 42 for f. 9 Solve -2*r - 19938 + 19952 = -s, -4*r = -4*s - 60 for s. -16 Solve -4*a + 117 - 133 = 3*c, 3 = -a - c for a. -7 Solve -19 = -2*l + 5*p, 16*l + 9 = 18*l - 3*p for l. -3 Solve 5*o - 85 = 11*f - 109, 2*f - 24 = -4*o
{ "pile_set_name": "DM Mathematics" }
2/13 Evaluate 9/24*-4*(-4)/(-6). -1 Calculate ((-4)/(-40))/(11/(220/(-16))). -1/8 What is ((-38)/(-114))/((-6)/4)? -2/9 Calculate (-10)/9*(96/10)/(-8). 4/3 (-13)/(39/(-12))*(-21)/(-28) 3 What is (-14)/21*3/(-3)? 2/3 Calculate 3/(-2)*13/((-273)/14). 1 Calculate ((-4)/24)/((-15)/20). 2/9 Calculate 170/(-34)*(4/2)/2. -5 -6*2/(468/(-65)) 5/3 Evaluate ((-16)/12)/(28/147). -7 What is the value of ((15/(-20))/(6/(-2)))/2? 1/8 ((-2)/(-6)*1)/((-75)/(-225)) 1 Calculate -7*(-5)/30*-6. -7 Evaluate (10/100)/((-4)/(-40)). 1 What is the value of (708/(-1534))/(2/(-13))? 3 Evaluate (-1)/(-2)*0/5. 0 What is the value of 15/126*-2*128/320? -2/21 Calculate ((-14)/(-70))/((-2)/(-10)). 1 Calculate 16/(-4)*-3*1/4. 3 What is (35/28)/(150/48)? 2/5 92/552*4/(-2) -1/3 Evaluate (7/(-21))/((-2)/(-6)). -1 (((-24)/(-6))/(-12))/((-2)/(-30)) -5 What is ((-7)/14)/(2/8)? -2 ((-11)/(-121))/(70/77) 1/10 (-3)/9*(-4)/4*-1 -1/3 What is 3/(8/(-20)*(-15)/(-3))? -3/2 What is 1*(-35)/60*2/(-7)? 1/6 What is the value of (-2*(-3)/(-6))/(1/3)? -3 Calculate (31/31)/(5/(-2)). -2/5 What is ((-140)/(-8))/(-5)*24/(-42)? 2 Calculate (4*1/((-4)/(-3)))/1. 3 What is ((-2)/(12/3))/(-1)? 1/2 What is 1/(1/(6/24*8))? 2 What is the value of ((8/(-24))/(-1))/1? 1/3 Calculate ((-50)/30)/(15/(-18)). 2 What is the value of (18/3)/2*2/(-14)? -3/7 What is (-9)/(18/8)*-1? 4 What is (5/(75/20))/((-2)/6)? -4 Calculate 0/6*(-2)/4. 0 -3*4*2/42 -4/7 What is 1*6*(-20)/210? -4/7 Calculate ((-2)/(-7))/(36/(-84)). -2/3 Calculate (-24)/(-9)*75/(-50). -4 What is (-2*(-5)/2)/(-1)? -5 What is the value of (-7)/(-56)*3/(-1)? -3/8 Calculate (1/(-2))/(80/64). -2/5 Evaluate ((-9)/30)/3*8/(-2). 2/5 (-6)/26*(230/(-69))/5 2/13 What is 95/(-76)*(-2)/(-5)? -1/2 Calculate -2*6/40*(-110)/(-132). -1/4 What is ((42/(-3))/7)/(-7)? 2/7 What is the value of 16/(-112)*6/(-1)? 6/7 Evaluate (10/(-35))/(3/(-21)). 2 Calculate (2/(-4))/((-3)/(-9)). -3/2 Evaluate ((-2)/(-3))/((-3)/27*-24). 1/4 (152/190)/(2/5) 2 Calculate ((-8)/18)/(2/(-9)). 2 What is the value of (-3*(-4)/(-90)*-3)/(-2)? -1/5 What is the value of ((-52)/182)/((-2)/28)? 4 Evaluate (((-90)/9)/30)/(1/15). -5 (-230)/69*1/2*-3 5 What is the value of (38/(-133))/(6/(-28))? 4/3 Evaluate 100/(-20)*14/(-10). 7 Calculate (-4)/(-12)*0*(-1)/(-3). 0 What is the value of 21/28*12/3? 3 What is ((-57)/(-38))/((-6)/(-16))? 4 What is the value of -4*5/(-60)*-9? -3 4/(-6)*-5*2/(-4) -5/3 Calculate 21/4*(-268)/(-201). 7 What is (-6)/(-16)*(-60)/(-45)? 1/2 Calculate (-3*(-1)/12)/(14/168). 3 Calculate (-231)/(-154)*(-32)/6. -8 Calculate (2*(-3)/18)/((-2)/(-6)). -1 What is the value of 4/(((-130)/20)/13)? -8 -14*(-2)/(-20)*(-5)/1 7 What is (((-240)/(-25))/(-12))/(2/(-5))? 2 What is (((-17)/(-1))/(-459))/((-1)/6)? 2/9 Evaluate 1*10*(-16)/40. -4 Calculate ((-3)/6)/(3/(-6))*-4. -4 Evaluate ((-2)/(-6))/(-2*1/6). -1 What is the value of (4/66)/((-177)/(-649))? 2/9 What is the value of (45/27)/((-10)/(-12))? 2 What is the value of (-30)/40*60/(-45)? 1 What is the value of ((-4)/(-3))/((12/9)/(-2))? -2 What is the value of ((-2)/7)/(75/((-135)/(-9)))? -2/35 (14/(-35))/((-2)/(-30)*4) -3/2 Evaluate ((-6)/6)/3*-3. 1 Calculate (-10)/12*(-240)/(-150). -4/3 (33/110)/((-66)/(-10))*-8 -4/11 What is the value of (1/10*3)/3*2? 1/5 Evaluate 6/(432/(-8))*-1. 1/9 Calculate -3*2/2*1. -3 ((-6)/4)/(((-594)/8)/(-9)) -2/11 ((-5)/(-120)*6)/(2/(-4)) -1/2 Evaluate 16*3/((-48)/(-8)). 8 (-2)/(-6)*6/12*18 3 What is the value of (-9)/21*(-8)/(-12)? -2/7 What is 1/1*4*4/(-24)? -2/3 Calculate (-44)/(-165)*-10*(-9)/(-6). -4 (-186)/496*(-8)/1 3 Evaluate -5*8/240*0. 0 Calculate (27/162)/(2/(-16))*3. -4 Evaluate (0*4/8)/(-6). 0 What is (19/38)/((-6)/(-8))? 2/3 4*(1/(-6))/(105/63) -2/5 What is the value of (-95)/114*(-6)/10? 1/2 Calculate (-3)/1*(-14)/(-147). -2/7 Evaluate -4*1/(-25)*10/(-4). -2/5 Evaluate 4/(-3)*(-1530)/408. 5 What is (53/318)/(2/4)? 1/3 Evaluate ((-157)/(-628))/(5/4). 1/5 Calculate 222/407*2/6*-1. -2/11 Calculate 2*6/((-60)/(-35)). 7 Calculate (-1)/1*0/(-2). 0 Calculate (-1)/((14/(-14))/(-5)). -5 (105/(-140))/(-2*(-1)/(-16)) 6 Evaluate ((-2)/12*-3)/1. 1/2 Calculate (24/45)/(180/75). 2/9 What is the value of (-2)/(-5)*62/(-248)? -1/10 Evaluate (-6)/1*(-4)/(-300). -2/25 What is ((-4)/7)/(374/77)? -2/17 Calculate 10*(-4)/32*-4. 5 What is the value of ((-1)/(-10))/((-6)/(-15))? 1/4 What is -19*72/(-5700)*10/3? 4/5 Calculate 2*(-1)/(-6)*15. 5 (10/(-25))/(-2*(-1)/(-10)) 2 Calculate (6/(-2))/(12/(-12)). 3 Evaluate ((-105)/(-14))/(-15)*-6. 3 What is the value of 18/(-72)*144/(-8)? 9/2 (-3)/(-3)*-20*(-2)/5 8 What is the value of (-2)/44*-11*-18? -9 Evaluate (-1)/((-2)/(-6)*5/5). -3 Calculate ((-16)/(-2))/2*1/1. 4 Evaluate (1/(-3))/((60/(-18))/10). 1 ((-4)/(64/36))/(120/(-320)) 6 (((-9)/(-18))/(3/(-6)))/1 -1 Calculate (((-1)/(-21)*9)/1)/1. 3/7 ((0/2)/((-6)/3))/5 0 2/(-20*(-1)/6) 3/5 Calculate 3/(-5)*(100/5)/(-4). 3 What is the value of ((-306)/(-476))/(12/14)? 3/4 What is (2/8*6)/(3/8)? 4 What is the value of ((-82)/82)/((-2)/(-2)*-3)? 1/3 Evaluate (1/4)/((-3)/8). -2/3 What is the value of ((-1108)/1939)/(1*(-1)/7)? 4 Calculate 6*1/9*(-9)/3. -2 What is (42/63)/((-4)/(-6))? 1 Calculate 4/11*(-69)/(-46). 6/11 What is the value of ((-10)/(-7))/(199/(-1393))? -10 What is the value of 1*2*(-16)/(96/(-27))? 9 What is the value of (8/(-28))/(36/(-63))? 1/2 Calculate ((-6)/(-120))/(5/(-20)). -1/5 Evaluate (-4)/(-8)*(16/44)/(-1). -2/11 What is the value of (-504)/(-72)*(-3)/(-49)? 3/7 Evaluate (-96)/(-30)*-8*10/(-32). 8 Calculate ((-188)/(-9212))/((-2)/(-14)). 1/7 What is the value of ((-2)/1)/1*(-3)/(-10)? -3/5 ((-70)/165)/(-7)*3*-1 -2/11 Calculate (-8)/174*(-39)/(-130)*-5. 2/29 Evaluate -4*(-11)/(-748)*(-1)/(-1). -1/17 ((-36)/(-9))/2*-1 -2 What is (8/24)/((-4)/(12/5))? -1/5 Calculate 2/(-7)*(-364)/26. 4 ((-3)/9)/(3/18*1) -2 What is 0/(-1)*(-31)/124? 0 Calculate (-6)/4*(-11)/(-33). -1/2 Calculate (0/((-70)/(-14)))/3. 0 What is the value of ((-1)/(-4))/((-9)/54)? -3/2 (-21)/9*306/(-119) 6 Evaluate ((-6)/8)/(20/(-80)). 3 (2/(-3))/((-6)/(-72)*-4) 2 What is the value of (18/27)/(((-18)/1)/(-3))? 1/9 Calculate (160/128)/((-2)/(-8)). 5 Calculate (1/(10/12))/(27/(-90)). -4 What is (((-4)/(-2))/1)/(3/6)? 4 Evaluate (-4)/(-6)*-4*(-3)/8. 1 What is the value of ((-2)/(-10))/((-6)/(-60)*-6)? -1/3 Calculate ((-15)/(-10))/(4/(32/3)). 4 What is (-5)/(20/(-4))*0? 0 Evaluate (2/(-10))/(49/(-245)). 1 ((-10)/(-2))/(((-4)/(-2))/2) 5 Evaluate (-4)/80*1/(9/(-36)). 1/5 Evaluate (1/(-2)*10)/1. -5 Calculate ((-36)/27)/(8/(-6)). 1 Calculate ((-4)/(-78))/(-1*(-5)/(-15)). -2/13 Evaluate 6*14/(-315)*10/12. -2/9 What is (4/72)/(1/(-4))? -2/9 What is 20/5*((-5)/6)/5? -2/3 What is (-6)/21*168/(-264)? 2/11 (-1)/(-3)*(-12)/(-70)*10 4/7 What is the value of ((32/24)/(-4))/((-1)/(-12))? -4 Evaluate (-1*2/(-30))/((-8)/(-16)). 2/15 Evaluate (18/80)/(180/(-300)). -3/8 12/126*(-6)/2 -2/7 ((-11)/(-44))/(3/(-16)) -4/3 Calculate (4/((-16)/(-14)))/(133/76). 2 Calculate (-8)/(-12)*1/(11/(-3)). -2/11 What is the value of ((-6)/(-9))/((-21)/(-9))? 2/7 What is (-5)/(125/10)*(-4)/16? 1/10 Evaluate (2/5)/(((-48)/40)/(-2)). 2/3 What is the value of 0/1*(-173)/(-1038)? 0 What is the value of (-12)/(-10)*220/(-88)? -3 Evaluate (-5)/(-3*6/6)*-3. -5 Calculate (((-48)/21)/(-4))/(12/(-14)). -2/3 What is (2/(-16))/(((-4)/3)/4)? 3/8 2/(-6)*(-42)/245*5 2/7 (-2)/(-8)*1*4/(-6) -1/6 Calculate (-23)/23*(-4)/4*-5. -5 Evaluate (0/((8/4)/1))/1. 0 (2/6)/((-8)/960*-10) 4 Calculate (-2)/8*(-12)/(3/1). 1 Evaluate 5/(((-1)/(-16))/((-39)/(-780))). 4 (3/(-2))/((-3)/10) 5 What is the value of 11/22*2*-1? -1 Evaluate (2/(-4))/(8/8). -1/2 Evaluate (11/(-55))/1*-5. 1 What is the value of (18/15)/(-6)*-5? 1 What is ((-1)/(-10)*-2)/(8/50)? -5/4 Evaluate 8/(-10)*55/(-22). 2 4*(-9)/(-18)*(-1)/2 -1 What is ((-108)/(-18))/(1/1)? 6 (-1*(-2)/(-3))/(35/(-21)) 2/5 Evaluate (306/(-136))/(2/16*-3). 6 What is ((-13)/(-312))/((-1)/(-8))? 1/3 Calculate 14/(-7)*2*3/(-4). 3 What is (7/(-14))/(9/(-18))? 1 ((-8)/4)/(6*21/14) -2/9 What is the value of 3/72*6*-4*1? -1 -3*((-1)/9)/(2/(-12)) -2 Calculate 3/(((-9)/5)/3). -5 What is 3/(12/(-9)*10/(-40))? 9 Calculate (-12)/(144/(-30))*(-36)/10. -9 What is the value of 13/(78/(-24))*-1? 4 What is the value of (2*-1)/(7*26/(-91))? 1 What is (-4)/2*25/700*2? -1/7 Evaluate (-10)/(-4)*-4*(-
{ "pile_set_name": "DM Mathematics" }
is the fourth biggest value? (a) 3/56 (b) -3/2 (c) -0.5 (d) -5 d Which is the second smallest value? (a) -2 (b) 2/433 (c) 4 (d) -10/7 d What is the third smallest value in 21, 2/3, -1/2? 21 What is the biggest value in 0.5, -260, 6? 6 What is the fourth smallest value in 13, 0.2, 4, -8/13? 13 What is the second biggest value in -6, 3, 46, 2/7? 3 What is the third smallest value in 5, -1/3, 3, -0.04? 3 Which is the biggest value? (a) 9/5 (b) -4/9 (c) 4 c Which is the biggest value? (a) -1 (b) 12 (c) -0.06 b Which is the smallest value? (a) 4 (b) 3 (c) -2/7 (d) -4 d What is the biggest value in 3, 1, 0.4, 22? 22 What is the biggest value in 0.2, -3/2, 27? 27 What is the biggest value in 1, -3, 5, -48/7? 5 Which is the second smallest value? (a) 2 (b) -4.32 (c) -0.1 (d) -3/4 d What is the third smallest value in 5, 3, 15, -6? 5 Which is the third biggest value? (a) -1/6 (b) 234 (c) 0.2 a What is the smallest value in 1, 1/3, -50, -1? -50 Which is the third smallest value? (a) 4/3 (b) 1/6 (c) 0.73 a What is the third biggest value in 123/16, 5, -2? -2 Which is the fourth smallest value? (a) -3/5 (b) -2/3 (c) -3 (d) 88/9 (e) 5 e What is the smallest value in 1/92, 90, 5? 1/92 What is the biggest value in -4, 0.4, 58, 2? 58 Which is the second biggest value? (a) 84 (b) 4 (c) -1 (d) 0.3 b Which is the third smallest value? (a) 0 (b) -36 (c) 41 c What is the fourth biggest value in -0.4, -3, -2, -2/7, 58/5? -2 What is the second biggest value in 5, 13, -26? 5 Which is the second smallest value? (a) 5/27 (b) -3 (c) 1/3 (d) 0.4 a What is the second biggest value in 4, -18, -0.4? -0.4 What is the third biggest value in 155, -2/9, -5, -0.3? -0.3 What is the second biggest value in 6, -4, -3, 0.1? 0.1 Which is the second smallest value? (a) -0.1 (b) -3 (c) 18 a What is the second biggest value in -337, -1, -7? -7 What is the biggest value in 7/6, 1/2, 4? 4 Which is the biggest value? (a) 0.1 (b) 0.064 (c) 0.4 (d) -5 c Which is the third smallest value? (a) -0.4 (b) 1 (c) -1/4 (d) 3/2 b Which is the third biggest value? (a) 0 (b) 7 (c) 0.1 a What is the fourth smallest value in 2/19, -1/3, 2, 0, -27? 2/19 What is the third smallest value in -0.21, -1/2, 11? 11 Which is the second biggest value? (a) -11 (b) -1/4 (c) 3 (d) -0.099 (e) -3 d What is the smallest value in -0.5, 0.06, -1, 1/4? -1 Which is the fifth smallest value? (a) 0.3 (b) 2 (c) 1 (d) 0.01 (e) 1/10 b Which is the fourth biggest value? (a) -4 (b) -2/9 (c) 0.2 (d) 5 (e) -1/489 b Which is the fourth biggest value? (a) -43 (b) -2 (c) 1 (d) 0.04 a What is the fourth biggest value in -0.3, -2/35, 4, -0.4? -0.4 Which is the smallest value? (a) -892 (b) -8 (c) -1 a Which is the biggest value? (a) -4 (b) -1/9 (c) -2/7 (d) 2 d What is the second smallest value in 0, 4/9, 5, -0.27? 0 What is the second biggest value in 57, -1/3, 0? 0 Which is the fourth smallest value? (a) -5 (b) 3 (c) 0.5 (d) 0 b Which is the third smallest value? (a) -5 (b) 301 (c) 4/9 b Which is the third smallest value? (a) -2/19 (b) 2.62 (c) -1/3 b Which is the smallest value? (a) 3 (b) 0.2 (c) 427 (d) -4 d What is the second biggest value in -0.4, 1/5, 54? 1/5 Which is the third smallest value? (a) 2/61 (b) 5 (c) -5/34 b Which is the fifth smallest value? (a) 0.2 (b) -5 (c) 0 (d) -9 (e) 2 e Which is the third biggest value? (a) -0.5 (b) 2/3 (c) -1 (d) -4 c Which is the biggest value? (a) 0.03 (b) -6 (c) -5 (d) 170 d Which is the fourth biggest value? (a) -1 (b) -2 (c) 1/4 (d) -4 d Which is the second biggest value? (a) 7 (b) 0.4 (c) -3 (d) 3 d Which is the fourth biggest value? (a) 3/5 (b) -0.5 (c) -1 (d) -3 (e) 2 c What is the smallest value in -24, -2/7, 0.06? -24 What is the fourth smallest value in -4, -3, 2/21, 2? 2 What is the biggest value in 6/7, -5/4, 11, -4/5, 0? 11 What is the fourth biggest value in 1, -5, 6/23, -23/3, 0.1? -5 Which is the third smallest value? (a) 35 (b) 1/5 (c) 1/2 (d) -0.4 c Which is the fifth biggest value? (a) -4/5 (b) -3961 (c) -0.2 (d) -3 (e) -0.4 b Which is the biggest value? (a) 16 (b) -0.06 (c) -0.21 a Which is the smallest value? (a) 5/3 (b) 1/5 (c) 5/19 b Which is the smallest value? (a) 0 (b) 3 (c) 2 (d) -0.3 d What is the third biggest value in -3, 3/5, -4, -294? -4 Which is the fourth smallest value? (a) 9 (b) -3 (c) -2 (d) -0.05 a What is the third biggest value in -4/19, 0.03, 1/6, 3, 0.5? 1/6 Which is the second smallest value? (a) 3 (b) 2/5 (c) 2/13 (d) -0.5 c Which is the fourth smallest value? (a) 0.02 (b) -1/4 (c) -2/9 (d) -19 (e) 0 e Which is the biggest value? (a) -3/8 (b) 23.5 (c) -2 b Which is the second biggest value? (a) 27/7 (b) 0.4 (c) -0.03 b What is the fourth biggest value in -2, 0.05, -3/4, 1? -2 Which is the third biggest value? (a) -3/13 (b) 1 (c) -5 (d) -1/7 a What is the second biggest value in 71, -1/3, 4? 4 What is the fourth biggest value in -17, 3, 5, -0.5, -0.9? -0.9 Which is the smallest value? (a) 5 (b) -18 (c) 2 b Which is the second biggest value? (a) -4 (b) -70 (c) -1/8 (d) -0.2 d Which is the second smallest value? (a) -0.047 (b) -0.4 (c) 2 (d) -4 b What is the third smallest value in -12, -2, 0.2? 0.2 Which is the fourth smallest value? (a) -7 (b) 0.4 (c) 5 (d) 136 d Which is the smallest value? (a) -17 (b) -31 (c) -2 b Which is the third smallest value? (a) 2 (b) 44/15 (c) -1.8 b Which is the second smallest value? (a) -71 (b) 0.2 (c) 1 (d) -1 d What is the fourth smallest value in 0.5, -2, -4, 17/27? 17/27 Which is the fourth smallest value? (a) 3 (b) 2/9 (c) -0.06 (d) 0 (e) -32 b Which is the second biggest value? (a) -45 (b) 70 (c) -1 c Which is the second smallest value? (a) -2/9 (b) -0.93 (c) 0.2 a What is the third smallest value in 64, 5, -16? 64 What is the smallest value in 10, 2, 4? 2 Which is the second smallest value? (a) 5 (b) 1 (c) -9 (d) -47 c Which is the third biggest value? (a) 6 (b) -2/3 (c) -1/6 (d) 6/29 c What is the third smallest value in -1, -1.8, 4? 4 Which is the second biggest value? (a) -1/12 (b) 4 (c) 3 (d) -0.1 c Which is the second biggest value? (a) 5 (b) -0.16 (c) 0.3 (d) -0.4 c Which is the second biggest value? (a) 2/651 (b) 43 (c) 4 c Which is the smallest value? (a) 1/3 (b) -4 (c) -0.16 b Which is the fourth smallest value? (a) -3 (b) 1.26 (c) -1 (d) -0.1 (e) 0.2 e Which is the smallest value? (a) -5 (b) 3 (c) -6049/6 c What is the second biggest value in 15, -4, -1? -1 Which is the second biggest value? (a) -5 (b) 67 (c) 7 (d) 4 c Which is the fourth smallest value? (a) -4 (b) -5/3 (c) 2 (d) 0.3 (e) -12 d Which is the second smallest value? (a) -0.2 (b) 0.179 (c) 8 b What is the fourth biggest value in 83, -0.2, -3, -4/5? -3 Which is the smallest value? (a) -29/4 (b) -1/4 (c) -4 a Which is the third smallest value? (a) 98 (b) 0.2 (c) -5 (d) 0.4 d What is the third biggest value in 0, 1, -0.59? -0.59 What is the second smallest value in 3, 1/3, -6? 1/3 Which is the smallest value? (a) -530 (b) -1 (c) 0.4 a What is the fourth smallest value in 0.2, 0.02, -4, 0.4, 5? 0.4 What is the third smallest value in 0, 0.06, -0.3, 0.3? 0.06 What is the biggest value in 4, -0.5, -0.4, -794, -1? 4 Which is the third smallest value? (a) -142 (b) 3 (c) -1 (d) -2/9 d What is the third biggest value in 1/6, -2/47, 0.01, 3? 0.01 What is the biggest value in -1/11, -0.1, 0.26, -2? 0.26 What is the biggest value in -0.4, 2/7, -5, 2, 2/97? 2 Which is the biggest value? (a) 1 (b) 5 (c) -3 (d) -5/4 (e) -1/4 b Which is the third biggest value? (a) 0.1 (b) 0.2 (c) 10945 a Which is the second biggest value? (a) -1/6 (b) -4 (c) 3/8 a What is the smallest value in -1, -2, 0.5? -2 What is the second smallest value in -4, 2, 2/3, -1? -1 What is the biggest value in 541, 4, 0.4? 541 What is the third smallest value in -142, -2/3, -0.3, -0.12, 1? -0.3 Which is the third biggest value? (a) 5 (b) -2/27 (c) -2/11 (d) 3 b Which is the second biggest value? (a) 0.03 (b) -6 (c) 5/2 (d) 0.2 (e) -3/4 d What is the second biggest value in -8.3, 2, 4? 2 Which is the biggest value
{ "pile_set_name": "DM Mathematics" }
Suppose -3*q + 12 = -7*q. Sort -5, 7, q in descending order. 7, q, -5 Let l be -2 + 2 + (-6)/(-21). Put l, 2, -5, 0.1 in descending order. 2, l, 0.1, -5 Let o = 0.28 + 0.16. Let q = o - 0.04. Sort q, -0.4, 3. -0.4, q, 3 Suppose 7*q = 2*q + m - 13, 2*m = -5*q - 19. Sort 5, q, -14, -5 in ascending order. -14, -5, q, 5 Let f = 0.2 + -2.2. Suppose 0 = 2*s - 7*s. Put -0.2, s, f in descending order. s, -0.2, f Suppose -24 = -2*h + 4*j, -h = -3*j + 2*j - 8. Let z(s) = -s**2 + 8*s - 2. Let d be z(8). Let k = -18 - -13. Sort d, k, h in decreasing order. h, d, k Suppose 0*h = -h - 2. Suppose 3*q = 5*g + 25, 17 = -3*g - q + 2. Let k = 17 - 12. Sort g, h, k. g, h, k Let w = 75 + -79. Let x = 78/77 - 8/11. Sort w, x, -0.1 in ascending order. w, -0.1, x Suppose m + 28 = 25. Sort 0, 5, -4, m in decreasing order. 5, 0, m, -4 Let y be 5 + -2*2/4. Suppose 4*v - 3*o = 20, 0*v - 2*v + y*o = -20. Let p be 2/(-5) + 13/(-5). Sort v, p, 4. p, v, 4 Let y(q) = -3*q**3 - 3*q**2 - 4*q. Let o be y(-2). Put -2, o, -3 in descending order. o, -2, -3 Let d = 11 - 13. Sort -1, d, 3 in descending order. 3, -1, d Let r(o) = 10*o + 1. Let q be r(-1). Let n(a) = -3*a - 9. Let l be n(-5). Let t be l/q*9/(-15). Sort 0.5, t, -0.1 in descending order. 0.5, t, -0.1 Suppose -7 = -w + q, -5*w + 23 = q - 2*q. Suppose 30 = 7*g - 2*g. Let a be 50/(-13) + g/(-39). Put w, a, 0 in descending order. w, 0, a Suppose 4*o + 9 = o. Let t be 8/(8 + -4 + -2). Sort 0, t, o in decreasing order. t, 0, o Let w = -72.6 + 73. Put 1/8, 2/7, w in increasing order. 1/8, 2/7, w Let c = -2.5 - -15.5. Let h = c - 13.5. Sort 3/7, h, -0.1 in descending order. 3/7, -0.1, h Let t = 5 + -5. Suppose t = -d + 5*d - 32. Let o be 0 + (14/d - 2). Put 0.3, o, 1/3 in descending order. 1/3, 0.3, o Let u = 26 - 132/5. Let i = -1 - -2. Put i, -3, u in decreasing order. i, u, -3 Suppose -8*z = -9*z - 2. Put 0, z, 4 in ascending order. z, 0, 4 Suppose -r = 4*o - 22, 2*o + 13 = 3*o + 4*r. Suppose -p - 18 = d + 3*d, 2*p - 16 = 5*d. Put o, 2, d in descending order. o, 2, d Let n = -26 + 21. Put -8, 5, n, 2 in decreasing order. 5, 2, n, -8 Let r = 0.07 - -1.93. Let j = 0.3 + 0.2. Sort -0.3, j, r in increasing order. -0.3, j, r Suppose 6*u - 2*u = 4. Let i = u + -2. Suppose -21 = -34*q + 41*q. Put 4, q, i in ascending order. q, i, 4 Let w be ((-2)/(-2 + 4) - -2) + 1. Let q = 0.1 + 0.3. Put 2/7, q, w in ascending order. 2/7, q, w Let o = -28 - -30. Sort -3, o, 7 in descending order. 7, o, -3 Suppose -5 = 2*p + t, -t = -2*p + t + 4. Sort p, -3, 0. -3, p, 0 Suppose 8 = 3*n - n. Suppose 0 = n*l - l + 9. Sort 1, -4, l in increasing order. -4, l, 1 Let b = 0.17 - 0.07. Sort 2/7, b, 5 in descending order. 5, 2/7, b Let y = 66 - 64. Put 7, y, -3, -5 in increasing order. -5, -3, y, 7 Let d = 0.1 - 0.2. Let w = -0.1 - d. Let i be (-1)/(-3) - (-3)/(-6). Sort w, i, -1/8 in descending order. w, -1/8, i Suppose -2*i - 7 - 1 = 0. Let j = 7 + i. Suppose -2*o = -j*o - 5. Sort o, -4, 1. o, -4, 1 Suppose 3*k = 12 + 21. Suppose k = -4*j - 13. Let b = j - -10. Put b, -1, -3 in decreasing order. b, -1, -3 Let h = 0 + 5. Sort 0, h, -4 in ascending order. -4, 0, h Suppose -5*i = -11*i + 6. Let o(q) = -3*q - 5. Let z be o(-6). Let g = -9 + z. Sort g, i, -4 in decreasing order. g, i, -4 Let x = -2.1 - -2.6. Let g = -4 + 6. Sort x, g, -2/5 in increasing order. -2/5, x, g Let v = -26 - -8. Let r be 6/(-21) - v/14. Put 0, -5, r in ascending order. -5, 0, r Let q(b) = -4*b**3 - 1. Let t be q(1). Suppose -2*x + x - 2 = 0. Suppose f + 2 = 5. Put x, f, t in decreasing order. f, x, t Suppose -14 + 7 = -7*m. Sort 0.5, -0.3, -0.2, m in descending order. m, 0.5, -0.2, -0.3 Let w = 72.43 + -73. Let a = w - -0.6. Put 3, a, 1/6 in ascending order. a, 1/6, 3 Let g be 1/16*4*-6. Put -0.3, g, 5 in descending order. 5, -0.3, g Let i = 5 + -8. Let j = -0.03 + -0.27. Put 3, i, j in ascending order. i, j, 3 Suppose 0 = h + 3*h - 12. Put -2, 4, h, 0.5 in descending order. 4, h, 0.5, -2 Let x = 5 + -4. Suppose -2*d = -d - x. Suppose 0 = t - d + 6. Sort -4, 4, t. t, -4, 4 Suppose 2*x = -2*a - 10, x + 13 = -x - 5*a. Sort 9, x, -5 in decreasing order. 9, x, -5 Suppose -2*g = g. Suppose 0 = 2*b - 3*l, 4*l = b - l - 7. Sort b, g, 2. b, g, 2 Let m = 23.06 + -0.06. Let r = m + -19. Put r, 0.8, 0 in descending order. r, 0.8, 0 Let v = 37 + -43. Let o be 4/(-2 + 1 + 2). Let m be v/o*(-4)/27. Sort -2/11, 3, m in decreasing order. 3, m, -2/11 Let j = -207.02 + 203. Let t = -0.02 - j. Let v = 1/110 + -6/55. Put t, v, 0.1 in increasing order. v, 0.1, t Let t = -9/4 + 2. Put -6, t, 0.4 in descending order. 0.4, t, -6 Let t = -2 - -2. Let j be -10*(1/(-2) + 0). Let q = -22 - -20. Sort t, j, q in descending order. j, t, q Let t(h) = -h**2 + 4*h + 8. Let w = 10 - 4. Let x be t(w). Put -5, x, -1 in decreasing order. -1, x, -5 Let g = -12 + 12.2. Let n = -0.1 + -0.1. Sort g, 4, n in decreasing order. 4, g, n Let d be (3 - -1)*(-4 - -3). Put -2, d, 0 in ascending order. d, -2, 0 Let b = -0.1 + 0.3. Suppose 0 = -2*o - 1 + 3. Let g be (-6 - 4)*(-2)/(-25). Put g, o, b in decreasing order. o, b, g Let j = -5 + 1. Put -1, 3/4, j in decreasing order. 3/4, -1, j Suppose 3*n + 1 = 4. Let b(m) = m**3 - 2*m**2 + 2. Let p be b(-1). Sort p, n, -2 in descending order. n, p, -2 Let c = 0.11 + -0.17. Let p = 1.06 + c. Let d be (-5)/7 - (-4)/(-14). Sort p, d, -4. -4, d, p Let y = -4 + 2. Let n = 16/7 - 62/21. Let k = -3.6 + 4. Put n, y, k in increasing order. y, n, k Let a = 0.4 - 7.4. Let w = 6.6 + a. Put -0.5, -2/17, w in descending order. -2/17, w, -0.5 Let s(v) = -v**3 + 7*v**2 + 9*v - 3. Let c be s(8). Put -13, 3, c in decreasing order. c, 3, -13 Suppose 0 = 2*p + f - 15, -20 = -0*p - 2*p - 2*f. Let w(z) = -z**2 - 7*z + 1. Let l be w(-7). Let h = -5 + 3. Sort l, p, h in descending order. p, l, h Let l = 0.13 - -4.87. Let i = l - 4.8. Sort -5, i, -2/3 in ascending order. -5, -2/3, i Let m be (-55)/(-20) - 3 - 5/(-4). Put -2, m, 5, -5 in decreasing order. 5, m, -2, -5 Let k(j) = j**3 + j**2 - 4*j + 1. Let y be k(-3). Let z be (-62)/(-22) - 8/(-44). Sort -1, y, z. y, -1, z Let x = 7 + -5. Suppose x*h = 2*j, -5*h - 2*j + 20 + 1 = 0. Suppose -2*u + d + 9 = 0, u + 4*d = h*d - 3. Sort u, 1/6, 5 in decreasing order. 5, u, 1/6 Let p = -16 + 9. Suppose 11*b = 6*b + 15. Sort b, p, -2 in decreasing order. b, -2, p Let a be 16/6 + (-2)/3. Let y be -2 + (2 - (-1 + 2)). Suppose 15 = -9*d + 6*d. Put y, d, a in increasing order. d, y, a Let h = -0.1 + -0.9. Let c = h + 3. Let x = 5 + -6. Sort c, x, -2/7 in descending order. c, -2/7, x Let y be (35 - 1)/((-10)/(-15)). Let u be y/(-9) - (-2)/(-6). Let v = -4 - u. Put -4, 4, v in descending order. 4, v, -4 Suppose -3*m - 41 = 5*v, 4*v = 5*m + v + 57. Sort m, 4, -5, -1 in descending order. 4, -1, -5, m Let l(z) = z**2 + 9*z + 2. Let u(c) = c**3 - 3*c**2 - 2*c - 3. Let k be u(3). Let s be l(k). Let n be -1*s*12/18. Sort -4/5, 3, n in descending order. 3, -4/5, n Suppose 4*o - 10 - 2 = 0. Sort o, -1, 0. -1, 0, o Let m(f) = -3*f + 4. Let j(w) = 16*w - 20. Let x(k) = -4*j(k) - 22*m(k). Let q be x(6). Sort q, -1, 5 in descending order. 5, q, -1 Let g be (4/(-2))/(2 + -8). Put 1, -5, g, -0.1 in increasing order. -5, -0.1, g, 1 Let m = -7 - -4. Let k be -3*(-2 - 8/m). Sort -1, 1, k. k, -1, 1 Suppose -19 = 8*w - 3*w + 4*g, 4*w = -g - 24. Let s = -10 - w. Put 5, -1, s in descending order. 5, -1, s Let p = 2.1 + -2.14. Let x = p - 0.26. Sort -1/3, x, -0.04 in increasing order. -1/3, x, -0.04 Let a(w) = w**2 + w. Let d be a(0). Suppose -4*l = -2*o + 2, 4*l - 6*l + 3*o + 5 = 0. Let h = 2 - 3. Put l, h, d in descending order. d, h, l Suppose 2*z - 4*w - 17 = -1, 0 = 4*z - 2*w - 8. Let a be -1 + 0 - (25 + -28). Sort 3, a, z. z, a, 3 Let q = 2.27 - 2.4. Let a = q - 0.17. Put -4, 5, a in decreasing order. 5, a, -4 Let a = 3 - 8. Suppose -4*z + 4 = 0, z + 0*z = -o. Sort 4, a, o in ascending order. a, o, 4 Let b = -20 + 59/3. Put 0.5, 6, b, 0 in decreasing order. 6, 0.5, 0, b Let y = 0.9 + -1.3. Sort -2, -0.2, y, -2/3 in ascending order. -2, -2/3, y, -0.2 Suppose -2*j = -j - 8. Suppose -w + j = -3*w. Let z be (w/6)/(1 - -1). Sort z, 0.3, -2 in decreasing order. 0.3, z, -2 Suppose 0 = -3*i + 5 - 47. Sort i, 2, 1 in increasing order. i, 1, 2 Let b be ((-2)/(-8))/((-9)/12). Let k = -2.2 + 2. Put b
{ "pile_set_name": "DM Mathematics" }
. Calculate the smallest common multiple of 30/1*v/(-10) and g(4). 60 Suppose -3*v - 29 - 13 = 0. Let i = v + 44. What is the lowest common multiple of i and 27? 270 Let g be (-1*8/6)/((-4)/6). What is the common denominator of 15/11 and g + (-66)/14 - 1? 77 Let c(y) = 3*y - 9. Let r = 79 + -74. What is the smallest common multiple of c(r) and 3? 6 Suppose 4*y + 3*b = -b + 56, -4*b = 0. Let n be 6/((-32)/y - -2). Calculate the common denominator of 61/18 and n/4 - (-5)/10. 36 Let c(s) = -61*s - 1. Let i be c(-1). Find the common denominator of i/14 + 1/2 and -43/10. 70 Let m = 22 + -17. Suppose m*r + 695 = -3*g - 405, -2*r = -2*g + 440. Calculate the common denominator of 3/(-15) + (-674)/r and 33/4. 44 Let l = -5431/88 + 453/8. Find the common denominator of (-4)/10 - 162/795 and l. 583 Suppose 15 = 4*g + g. Calculate the lowest common multiple of 17/2 - 18/(-12) and g. 30 Let c be 2/12 + 17481080/(-1619904). Let z = -2/8437 + c. What is the common denominator of z and -103/22? 88 Let z(y) = 2*y**3 - 9*y**2 + 2*y + 4. Let v be z(4). Find the common denominator of (v/10)/(56/1070) and 93/8. 56 Let c be 82/4*4 + 1. Let w = -43 + c. Calculate the lowest common multiple of w and 32. 160 Let g(t) = 2*t**2 - 7*t - 25. Let y be g(9). Let h = y + -64. Calculate the lowest common multiple of h and 8. 40 Suppose -4*w - 2*x + 3 = -59, -5*w = 5*x - 65. Let j be (-9)/21 + w/(-7). What is the lowest common multiple of (-1)/((12/32)/j) and 2? 8 What is the common denominator of ((-1)/(-8)*17)/(9/(-4)) and -40/279? 558 Let v = -45 + 56. Let k = v - 4. Calculate the lowest common multiple of k and 10. 70 Let r(c) = 9*c - 26. Let f be r(14). Suppose -4*y = -2*o - f, 4*y - 3*o = -0*y + 96. Calculate the least common multiple of 3 and y. 27 Let k be 3/15 + (-4167688)/(-585). Let n = k + -64075/9. Let d = n + -29/13. Calculate the common denominator of d and -22/5. 45 Find the common denominator of 7/3 + 650/660 and 9/10. 110 Let d be (1 - (-3)/(-2)) + (-9)/6. Find the common denominator of 69/10 and (d/1)/((-140)/(-54) - 3). 110 Let a = 3 - -446. Calculate the least common multiple of a and 7. 3143 Suppose 3*h + 5*y = 7*h - 29, 2*h + y = 25. Let a(f) = -58*f + 933. What is the least common multiple of h and a(16)? 55 Let i(c) = 4*c - 9. Let o = -3 - -9. Let u be i(o). Calculate the common denominator of -49/12 and (2/u)/(48/(-20)). 36 Let j(r) = -17*r**2 - 2*r + 2. Let b be j(2). Let a = b + 79. What is the lowest common multiple of 4 and a? 36 Let i be (-1)/(3/(-36)) - 0. Suppose 2*g - g = i. Let w = 2225 + -2218. Calculate the smallest common multiple of w and g. 84 Let p be (96 - -24)/(14/4 + -2). Find the common denominator of 105/p*54/(-14) and 139/168. 336 Let j(t) = -t**3 + 7*t**2 + 11*t - 7. Let s be j(9). Let h = -59 - s. Calculate the least common multiple of 9 and h. 99 Let f = -3259/10 + 601/2. Let h = -587/20 - f. Find the common denominator of (35/(-150))/((-37)/1443) and h. 20 Calculate the least common multiple of (216/90)/(6/140) and 14. 56 Suppose -26*k + 27*k - 8 = 0. Suppose 5*b - 1 = 9. What is the lowest common multiple of k and b? 8 Calculate the common denominator of -77/309 and (-6)/9 - (11 - 243/18). 618 Let d = 8591/1970 - 12/197. Let g(s) = s**2 + 12*s + 19. Let z be g(-10). Calculate the common denominator of (-4)/36*-3 - z/1 and d. 30 Let b(x) = -2*x**2 - 25*x - 29. Calculate the lowest common multiple of 36 and b(-11). 36 Let i = -241480831/102 - -2367435. Let y = 12/17 - i. Find the common denominator of ((-1)/11)/(2/34) and y. 66 Calculate the common denominator of -13/10 and (-30)/(-5) + 155/(-55). 110 Let k(a) = -312*a**3 + 3*a**2 - a. Let o be k(2). Let r = -864 - o. Let i = -9763/6 + r. What is the common denominator of i and 101/6? 6 Let o = 1123 + -1027. Calculate the smallest common multiple of 6 and o. 96 Suppose 41*l = 156 + 582. What is the smallest common multiple of l and 214/8 - (-2)/8? 54 Let j = -53 + 76. Calculate the smallest common multiple of j and 10. 230 Let m = 1 - -15. Let w be -3*(4829/m - 0). Let u = -905 - w. Find the common denominator of -15/22 and u. 176 Calculate the common denominator of (3/(-54))/(-1)*(-1430)/33 and 65/123. 1107 Let n(u) = -u**3 - 3*u**2 + u + 6. Let d be n(-3). Suppose -d*q + 10 + 29 = 0. Calculate the lowest common multiple of 2*-1 - (-78)/q and 11. 44 Let m(c) = -c**3 - 9*c**2 - 9*c + 13. Let q be m(-8). Suppose -q + 36 = 3*d. What is the lowest common multiple of d and 2? 10 Let k(s) = -2*s**2 + 3*s - 7. Let o be k(3). Let g be (-2)/o + 66178/(-530320). Let p = -165717/37880 - g. Calculate the common denominator of p and 53/4. 8 Let m(j) = 9*j - 1. Let t be m(1). Let y be (-2)/t - (-174)/24. Suppose y*i - 4*i = 12. Calculate the least common multiple of i and 9. 36 Let v = 5139 - 41205/8. Let m = -305/42 + 2/21. What is the common denominator of m and v? 24 Suppose 3*k + 2*k - 20 = -5*y, -y = 5. Suppose -k*r + 111 = -6. What is the lowest common multiple of r and 4? 52 Let t = 190 + -282. What is the lowest common multiple of (1 - 2)*t*1 and 10? 460 Let m = -105271/4182 + 4/697. Let j = -191681376 + 664751004659/3468. Let h = j - -7/289. What is the common denominator of h and m? 12 Let p(x) be the first derivative of -x**3/3 + 13*x**2/2 - 14*x + 1. Calculate the least common multiple of p(11) and (-2)/(-6) + 17/3. 24 Suppose y - 3*q = -7, 0 = -3*y - 5*q - 7. Calculate the least common multiple of (-1)/(-1)*(-176)/y and 10. 220 Let d = -2618 - -47155/18. Calculate the common denominator of d and -69/10. 90 Let o = 8984 - 107869/12. Calculate the common denominator of 4 + -5 + 26/60 and o. 60 Let i(m) = -m**3 - 15*m**2 - 14*m + 6. Calculate the smallest common multiple of (-9)/(-4)*40/3 and i(-14). 30 Let k = 106/3 - 46. Calculate the common denominator of -71/78 and k. 78 Let a be (-2)/5*(10 + 5). Let k be a/((-2 - 1) + 2). What is the least common multiple of 7/1 - (-7 + k) and 14? 56 Let j be (6/(-4))/((-3)/(-24)). Let r = -69 - -69. What is the common denominator of 35/8 and (-62)/(r + 16/j)? 8 Let c(y) = -2*y**3 - 15*y**2 + 13*y + 10. Let j be c(-8). Calculate the common denominator of 34/3 and (0 - (-3)/j)/(36/(-1095)). 24 Let n(u) = u**2 + 25*u - 40. Let o be n(-20). Calculate the common denominator of 27/56 and (-20)/o*93/2. 56 Let y = 7910 + -2555. Find the common denominator of -161/30 and ((-4)/6)/((-748)/y). 330 Find the common denominator of (-20)/7700*-1385 + (-2 - (-26)/14) and 6/8*8/(-14). 77 Suppose 26 = 2*j - 12. Let l = -8 + j. Suppose 0 = p + 2*p, 3*c - p - 9 = 0. What is the smallest common multiple of l and c? 33 Let s be -1235 - (-2 - 10 - -6). Let z be (-15007)/12 + (-2)/(-8). Let l = s - z. What is the common denominator of 4/3 and l? 3 Suppose 0 = 5*v - 15, 2*v + 2*v - 252 = -4*b. Calculate the smallest common multiple of 3 and b. 60 Let g = 66 - 62. Suppose r + 90 = g*r. What is the smallest common multiple of 36 and r? 180 Let h = 55 - 47. Calculate the common denominator of 17/22 and h/(-6) + 2 - 121/12. 132 Let x = 24 - 64. Find the common denominator of -93/2 and -5 - -1 - (-345)/x. 8 Let x = 534064/864105 - -2/15711. Find the common denominator of x and -19/105. 1155 Let q = -3811/4848 + -8/303. Calculate the common denominator of q and 145/12. 48 Suppose 3*x - 24 = -x. Let d(n) = -11*n - 6. Let b(o) = 9*o + 3. Let q(w) = 4*b(w) + 3*d(w). Calculate the smallest common multiple of 2 and q(x). 12 Let n(h) = 5*h - 41. Let f be n(0). Let r = -23 - f. Calculate the lowest common multiple of 14 and r. 126 Calculate the common denominator of 61/16 and (-825)/(-302) - (-33)/(110/(-10)). 2416 What is the common denominator of -121/114 and ((-16)/5)/(21*(-12)/(-180))? 798 Suppose -32 = -4*r - 4. Suppose 5*a - 13 = 2*h, -3*h - r + 1 = -3*a. Suppose 4*w + q = 3*q + 22, w - 3 = a*q. Calculate the smallest common multiple of w and 7. 42 Let k = 81 - 57. Let w = k - 16. Calculate the lowest common multiple of w and 4. 8 Let u(w) = w**3 + 12*w**2 + 19*w + 112. Calculate the lowest common multiple of 32 and u(-11). 96 Let v = 817632/217165 - 31107130767/8953278620. Let l = -1/3748 - v. Calculate the common denominator of -46/15 and l. 165 Suppose -17*v + 23*v = 24. Suppose 2*m - 5*l - 61 = 0, -2*m = 5*l - 67 - v. What is the common denominator of -1/42 and m?
{ "pile_set_name": "DM Mathematics" }
= 3*f - 4*c + 3*c - 295. What is the units digit of f? 7 Let p = 638 + 176. What is the tens digit of p? 1 Let k(x) = -2*x + 22. Let v be k(11). Let w(d) = 2*d + 2. Let r be w(v). Suppose -141 = -r*m - m. What is the units digit of m? 7 Let j = -333 - -947. What is the units digit of j? 4 Let c = -44 + -48. Let n = 181 + c. What is the units digit of n? 9 Let p = 20 - 18. Suppose p*k - 57 = -7. What is the units digit of k? 5 Let m = -433 - -621. Let y = m - 18. What is the units digit of y? 0 Let g = 110 - 129. What is the tens digit of 36/(-1)*(14 + g)? 8 Let x = -701 - -1219. Let p = 778 - x. What is the units digit of p/15 + (-1)/3? 7 Let b(p) = 19*p - 78. Let g be b(-9). What is the units digit of g/(-2) - (5/(-2) - -3)? 4 Let k(r) = 11*r**2 - 17*r + 7. What is the units digit of k(5)? 7 Suppose -16*u = -7*u - 4275. What is the hundreds digit of u? 4 Suppose -22*p + 13701 - 4153 = 0. What is the tens digit of p? 3 What is the tens digit of (-6)/(-1 + 7)*(6 + -987)? 8 Suppose 8*o = 26 - 2. Suppose -t - 4 = 0, 301 = o*c - 5*t + 8. What is the tens digit of c? 9 Let c = -9 + 23. Let u = c + 44. What is the tens digit of u? 5 Let m = 6537 - 2365. What is the thousands digit of m? 4 Let d(q) = q**3 + q + 42. Let s = 17 - 17. Let l be d(s). What is the tens digit of l/(0 + 2) + 3? 2 Suppose -z - z + 194 = 0. Let o = -11 + z. Let w = o - 55. What is the units digit of w? 1 Suppose -24551 - 20098 = -41*z. What is the tens digit of z? 8 Let i = 16 - 5. Let z = i + -9. Suppose z*o + 3*o = 185. What is the units digit of o? 7 Suppose -8*s + 12*s + 872 = 0. Let j = -129 - s. What is the tens digit of j? 8 Suppose 4*v - 6*v = -4. Suppose -3*p + v*p - 10 = -2*o, 0 = -p. Suppose -o*b = -6*b + 46. What is the units digit of b? 6 Suppose 0 = 32*k - 52*k + 29320. What is the thousands digit of k? 1 Let i(c) = -c**3 + 26*c**2 + 32*c + 69. What is the tens digit of i(27)? 0 Suppose 4*j = -13 + 1. Let y(k) = -k**3 - 2*k**2 + 2*k - 3. Let r be y(j). Suppose 5*g = -2*h - 3*h + 75, 2*g - 4*h - 24 = r. What is the units digit of g? 4 Suppose -7799 = -3*l + 2242. What is the thousands digit of l? 3 Suppose -335 - 73 = 8*h. Let j = h + 140. What is the units digit of j? 9 Suppose -2*o - 3*o = -15. Suppose -o*d = 5*n - 7*d - 212, -71 = -2*n - 3*d. Suppose -2*t - f + 70 = f, t - 4*f = n. What is the units digit of t? 6 Suppose -5*n + 44 = y, 2*y + 3*y + 4*n - 157 = 0. Suppose 2*l = -32 + 2. Let q = l + y. What is the tens digit of q? 1 Let h(q) = q**2 + 4*q + 2. Suppose 6*w = 3*w + 9. What is the tens digit of h(w)? 2 Let u(x) = 2*x**3 - 7*x**2 - 6*x + 17. Let m be (-3)/((-3)/(-4)) + 10. What is the hundreds digit of u(m)? 1 Let u(c) = -c**2 - 37*c + 69. Let o(k) = 2*k**2 + 36*k - 70. Let z(i) = -2*o(i) - 3*u(i). What is the tens digit of z(25)? 8 Let m(z) = 77*z + 60. Let v be m(8). Let q = v - 471. What is the hundreds digit of q? 2 Suppose 2*w = 0, -3*u + 2*u - 5*w + 5 = 0. Suppose u*i + 5 = 25. What is the units digit of 3 - i*-3 - 3? 2 Suppose -12 = 2*t + 78. Let c be 9/t + (-31)/(-5). Suppose 206 = -c*p + 494. What is the units digit of p? 8 What is the units digit of (-14)/21 - (-3149)/(-3)*-1? 9 Let g(q) = -41*q**3 + 21*q**3 + 19*q**3 + q - 1 + 3*q**2. What is the units digit of g(-2)? 7 Suppose 5*j - 22*y + 23*y - 5321 = 0, -5*j + 2*y = -5333. What is the hundreds digit of j? 0 Suppose -85 = -l - 33. What is the tens digit of 16/10*2730/l? 8 What is the units digit of (2 + 5809)*(-8 + (-125)/(-15))? 7 Let l = 0 + 4. Let k(h) = -h + 8. Let v(x) = -1. Let s(q) = l*k(q) + 44*v(q). What is the units digit of s(-6)? 2 Let q be 11 + 12/(1 - 4). Let o(b) = 16*b - 23. What is the units digit of o(q)? 9 Suppose -8*c + 12*c = 20. Suppose -3*s = -c*s + 16. What is the units digit of s? 8 Suppose 3*d - 2*d = 5. What is the tens digit of (-16)/d*(0 + (-30)/4)? 2 Let z(h) = h**2 + 12*h - 6*h + 14*h - 5 + 22. What is the units digit of z(-20)? 7 Let z(o) = o + 595. What is the hundreds digit of z(-7)? 5 Suppose -4*n + 0*n + 24 = 2*y, 4*n = y + 24. Let b = 1 + n. What is the units digit of b? 7 Suppose -6*q - 500 = -122. Let a = q + 104. What is the units digit of a? 1 Let p = -31 + 32. Suppose -2*r - 19 - 1 = 2*u, 0 = -2*u - 3*r - 24. Let y = p - u. What is the units digit of y? 7 Let k(l) = -1071*l + 33. What is the units digit of k(-1)? 4 Suppose u + 2*g = -31, 0*u - 5*u = 5*g + 165. Let v = u + 25. Let x(m) = m**2 + 9*m + 6. What is the units digit of x(v)? 6 Let c(z) = 72*z**3 - 3*z**2 - 9*z + 18. What is the hundreds digit of c(2)? 5 Suppose -9*g = -10*g + 1402. What is the thousands digit of g? 1 Let h = 118 - 18. Suppose h = 4*q + w + 19, -3*w + 33 = 2*q. Let m = q - 7. What is the units digit of m? 4 Let l(d) be the second derivative of -5*d**3/3 + 8*d**2 - 14*d. What is the tens digit of l(-8)? 9 Let t(h) = -h**2 - 14*h. Let g be t(-14). Suppose 4*w - 3*z - 134 = 294, g = w - z - 108. What is the hundreds digit of w? 1 Suppose -4*g + 2*k = -1808, 8*g - 3*k - 2260 = 3*g. What is the units digit of g? 2 Suppose 5*q - 5951 = -3*s, -5*s + 9873 = -8*q + 5*q. What is the thousands digit of s? 1 Let j = -16 + 41. Let i be (-70)/j + 2/(-10). What is the units digit of -5*9/5*i? 7 Suppose -9*c - 20 = -4*c. Let a be (3/1 + c)*-4. Suppose -a*z + 28 = -48. What is the tens digit of z? 1 Suppose -8 = 4*j, -2*j - 389 = 5*k + 80. What is the units digit of -1*1/4*(k + 1)? 3 Suppose -10 = 2*n - 4*n. Suppose -5*y + 0 = -2*c - 21, -4*y + n*c = -27. What is the units digit of y? 3 Let t(m) = -7*m + 5. Let s(q) = -13*q + 10. Let a(k) = 2*s(k) - 5*t(k). Suppose 0 = 27*y - 54 - 54. What is the units digit of a(y)? 1 Let x(m) = m**2 + 15*m - 63. Let n be x(-15). Let w = 179 + n. What is the units digit of w? 6 Let d = 86 + -50. Let n = d + -24. What is the tens digit of 21/(-6)*-1*n? 4 Suppose -9*l + 585 = -1827. Suppose -232 = -4*g + l. What is the tens digit of g? 2 What is the tens digit of -8394*(-9 - (-153)/18)? 9 Let k(v) = 3*v - 17. Let x be k(7). Suppose -4*r = -o + 15 + 49, x*o + 2*r - 292 = 0. What is the units digit of o? 2 Suppose -3*b + 1073 = v, 0 = 5*v - 6*b + 3*b - 5401. What is the tens digit of v? 7 Suppose -89*o = -99*o + 14560. What is the tens digit of o? 5 Suppose 0 = -42*t + 52*t - 11030. What is the units digit of t? 3 Let t(m) be the second derivative of 5*m**4/2 + m**3/3 + m**2/2 - 8*m. What is the tens digit of t(-1)? 2 Suppose 25 = 5*b + 3*c, 4*b + 15 = 4*c + 3. Suppose -3*k + 6 = 0, -3*l - 5*k + b*k + 198 = 0. What is the units digit of l? 4 Suppose 0 = h - 3*h + 5*q + 16, -3*q = 3*h - 3. What is the units digit of (h/2)/((-6)/(-248))? 2 Let t = -1305 - -2192. What is the tens digit of t? 8 Suppose -2*q = -21 + 11, -4*d - q + 5145 = 0. What is the hundreds digit of d? 2 Suppose -4*r + 9*r = -20. Let c be (-10)/r*(-12)/(-15). Let n(k) = 3*k**3 - 2*k**2 + 1. What is the tens digit of n(c)? 1 Let l(h) = 393*h - 12. What is the units digit of l(5)? 3 Suppose 0 = 2*j + 3*k - 1923, 5*k + 3225 + 588 = 4*j. What is the units digit of j? 7 Suppose -384*q = -387*q + 1785. What is the tens digit of q? 9 Let s = 2238 - 1294. What is the tens digit of s? 4 Suppose -4*l = 4*u - 2*u - 1616, -5*l - u + 2023 = 0. Let r = -280 + l. What is the units digit of r? 5 Let q be (-1)/((-2)/106) - -2. Let x = q - 37. Let s = -16 + x. What is the units digit of s? 2 Let n be -2 - 10 - (-1)/(-1). Let v(c) = -4*c**2 - 8*c - 15. Let r(l) = 11*l**2 + 25*l + 44. Let s(y) = 3*r(y) + 8*v(y). What is the units digit of s(n)? 8 Suppose -20 = 2*x - 0*x. Let d = 20 + x. Suppose -29 = -11*y + d*y. What is the units digit of y? 9 Suppose 2*k - 6 - 6 = 0. Suppose -4*u = -z - z + k, 15 = 5*z - u. Suppose 100 = 2*w + z*w. What is the tens digit of w? 2 Suppose -14*f + 660 = -9*f. What is the tens digit of f? 3 Let k(y) = 3*y + 19. Let d(s) = s. Let o be (-6)/18 - (-8)/6. Let m(l) = o*k(l) - 4*d(l). What is the units digit of m(0)? 9 Suppose -4*v - 75 = -v - 3*a, 0 = 4*v - 5*a + 103. What is the units digit of ((-22)/8)/((-1)/v)*-2? 1 Let j = 64 + -69. What is the tens digit of 418*(-2 - 1/(2/j))? 0 Suppose -5*z + 1811 + 4101 = -o, -3*z + 4*o = -3537. What is the hundreds digit of z? 1 Let s = -19 - -3. Let m = -18 - s. What is the units digit of -5 - -8 - 8/m? 7 Suppose 0 = 5*r - 6 - 4. Suppose
{ "pile_set_name": "DM Mathematics" }
pand (-2*g**4 + g**4 + 0*g**4)*(7 - 7 - 2*g) - 3*g**5 - g + 2*g**3 + 2*g**5 + 0*g**5. g**5 + 2*g**3 - g Expand -3*l**5 + 3*l**5 + 2*l**5 + 4*l**5 - 3*l**5 - 3*l**5 + (-l**2 + 2*l**2 + 4*l**2)*(0*l + l**3 + 0*l). 5*l**5 Expand (4 + 2 - 5 + t)*(-9 + 9 - 12). -12*t - 12 Expand -2*k**4 + 2*k - 2*k + 2*k + 2*k**4 - 2*k + (5*k**2 - 3*k**2 - k**2)*(4*k**2 - 2*k**2 + 0*k**2) + (3*k**2 + 3*k**2 - 4*k**2)*(2*k**2 - 2*k**2 + k**2). 4*k**4 Expand (-14*v + 43*v + 46*v + 0 + 0 - v + (3*v + 4*v - 6*v)*(-2 + 7 - 3))*(-v**2 - 3*v**2 + 2*v**2). -152*v**3 Expand (4 + o + 4*o - 3)*(0*o + o - 3*o). -10*o**2 - 2*o Expand (6*b - 2*b - 2*b)*(-2 - 21 - 7). -60*b Expand (0*x**3 - 2*x**3 + 0*x**3)*(-13*x + 7*x - 4*x). 20*x**4 Expand (-12 + 12 - 5*l)*(2*l + 2*l - 6*l). 10*l**2 Expand (5*u - 2*u - u)*(0*u + 0*u - u) + 3*u - 3*u**2 - u + u**2. -4*u**2 + 2*u Expand (13*u - u + u)*(2 - 1 - 3)*(-2*u + 4*u + 0*u) + (1 - 1 - 2*u)*(-4*u + 2*u + 4*u) + 3 + u**2 - 3. -55*u**2 Expand -1 + 5*v + 3 + 0 + (-4*v + 0*v - v)*(-2 - 4 + 2). 25*v + 2 Expand (4*g + 5*g**4 - 4*g + g)*(1 - 1 + 1). 5*g**4 + g Expand (9*l**2 - 1 + 1)*(-l + 3*l + 0*l) + 2*l**3 - 6*l**3 + 10*l**3. 24*l**3 Expand (1 - 2*x**3 - 3 + 3*x**3)*(-2*x + 5*x - 2*x)*(-2 - 1 + 6). 3*x**4 - 6*x Expand 2*w**2 - 2*w**2 + 2*w**4 - 2*w**3 + 2*w**3 + 3*w**4 + (2*w**2 + 3*w**2 - 2*w**2)*(-4*w**2 + 8*w**2 + 0*w**2). 17*w**4 Expand (2*i - 2 + 2)*(-2 + 28*i**2 + i - 28*i**2 + 3*i**3). 6*i**4 + 2*i**2 - 4*i Expand (-7*u + 2*u + 4*u)*(3 - 3*u - 3)*(3*u**3 - 3*u**3 - 2*u**3). -6*u**5 Expand (-4 + 1 + 1)*(-5*s + 4*s - 3*s) + (-1 + 1 - 2)*(0*s - 5*s + s). 16*s Expand 0*k - 3*k + 8*k + 2*k - 7*k + 2*k + (0 + 0 - 2)*(-k - 3 + 3) + 3 - 2*k - 3. 2*k Expand (-5*j**2 + 5*j**2 - j**3)*(3*j**2 - 3*j**2 - 2*j**2) + (-2*j**2 - j**2 + 0*j**2)*(-3*j**2 + 3*j**2 + 6*j**3). -16*j**5 Expand 2*i - 3*i - 2*i + (-i + 4*i + 3*i)*(4 - 2 - 1) - 3*i + 4*i - 2*i. 2*i Expand (-2*d**2 - 3*d**2 + 3*d**2)*(-14*d - 48*d + 127*d) - 2*d**3 - 2*d**3 + 2*d**3 + (2*d - 2*d + d)*(2*d**2 + 4*d**2 - 5*d**2) + 2*d**3 - 3*d**3 - d**3. -133*d**3 Expand -b**2 - b**2 + 4*b**2 + (0*b - 3*b + b)*(2*b + 0*b - 3*b) - b**2 - 1 + 1 + (-5*b - 3*b + 4*b)*(-3*b + 5 - 5). 15*b**2 Expand (-2*v**2 + 0*v**2 + 0*v**2)*(6*v + 5*v + 3*v). -28*v**3 Expand -5*l**3 + 3*l**3 + 5*l**3 + (1 - 3 + 4)*(-2*l**3 - 1 + 1) + 35*l**2 - 4*l**3 - 35*l**2. -5*l**3 Expand 5*u**2 - 6*u**2 + 2*u**2 - 3*u**2 + 2*u**2 + 3*u**2 + (-2*u - u + 2*u)*(0*u + 0*u + u) - 20 + 2*u**2 + 20 + u. 4*u**2 + u Expand (-2*i + 4*i - 5*i)*(1 - 2 - 1) + 0*i - 5*i + 2*i + 5*i - 4*i + 0*i. 4*i Expand 25*i**5 - 6*i**5 - 2*i**5 - i**5 + 0*i**5 + 2*i**5 + (2 + 2*i**3 - 2)*(-1 + 1 - 2*i**2) - 2*i**5 + i**5 + 0*i**5 + 0*i**5 - i**5 + 2*i**5. 14*i**5 Expand (2 - 2 - 2)*(5*t**5 + 0*t**5 - 3*t**5) + (10*t**5 + 14*t**3 - 14*t**3)*(-5 + 4 + 3). 16*t**5 Expand (-6 - 3 + 2 + (-2 - 3 + 4)*(-2 + 1 + 2))*(r + r - 6*r). 32*r Expand (0*g - 2*g + 0*g)*(g**3 - g**2 + g**2) - 7*g + 3*g + 0*g**4 - 4*g**4. -6*g**4 - 4*g Expand (-3 + 3 - x)*(-2*x**3 - x**3 + 0*x**3 - x**3 + x**3 - 2*x**3 + (-5*x + x + 2*x)*(3*x**2 - 5*x**2 + 4*x**2) + 3*x**3 - 7*x**3 + 3*x**3). 10*x**4 Expand (-5*q**4 + 2*q**4 + q**4 + (-2*q**3 - 2*q**3 + 3*q**3)*(3 + q - 3))*(4 + 2 - 4). -6*q**4 Expand (1 - 2*m - 1)*(0 + 4 - 1) + (0 + 1 - 3)*(0*m + 0*m + 2*m) + (m - m + m)*(1 - 2 - 1). -12*m Expand (-4 + 0 + 2)*(-2*r - 1 + 1)*(-6 - 17 + 6). -68*r Expand (-4*q - 2*q + 5*q + (-3 + 6 - 1)*(0*q - q + 0*q) - q - 2 + 2)*(4*q**4 - 6*q**4 + q + 0*q). 8*q**5 - 4*q**2 Expand -7*v - 40*v - 11*v + (-6 + 2 + 5)*(1 - 1 - 2*v) - 2*v - 1 + 1. -62*v Expand (0*o - 3*o + 2*o + 0*o - 4*o + 5*o + (-1 + 2 - 2)*(o - o + 2*o))*(2 + 1 - 4). 2*o Expand -3*f**2 + 21*f**3 + 22*f**3 - 45*f**3 + 2*f**3 - 4*f**3 + 0*f**3 + (-f + 0*f + 2*f)*(-f**2 + 1 - 1). -5*f**3 - 3*f**2 Expand (-p - p + 3*p)*(0 - 1 + 0)*(-3*p + 7*p + 0*p + (1 + 1 + 0)*(-2 + 2 - p)). -2*p**2 Expand (0 - 2 + 1)*(2*l**2 - 4*l**2 + l**2). l**2 Expand (-d**2 - d + d)*(-2 + 2*d + 2) + 17*d**3 - 62 + 62. 15*d**3 Expand (-a**5 + 5*a**5 + 2*a**5)*(-4 + 2 + 5). 18*a**5 Expand (-3 + 4 + 3*u**2 + 1)*(-4*u + 3*u + 2*u). 3*u**3 + 2*u Expand (2*i - 3*i - 2*i)*(1 + 1 - 3)*(2 - 1 - 2)*(5 - 4 - 4). 9*i Expand (-3*a**4 + 4*a**4 + 0*a**4)*(-a + 0 + 0) - 3*a**2 - 2*a**5 + 3*a**2 + (-2*a**4 + 5*a**4 - a**4)*(2*a - 4 + 4) + 11*a**5 - 22*a**5 + 30*a**5. 20*a**5 Expand (2*a**3 + 3*a**3 - 7*a**3)*(-3*a + a**2 + 3*a) - 5*a**5 + 4*a**5 + 2*a**5 + (2*a**3 - 2*a**4 - 2*a**3)*(-12*a - 252 + 252). 23*a**5 Expand (7*u**3 - 4*u**3 - u - u)*(6*u**2 - 2*u**2 - 2*u**2). 6*u**5 - 4*u**3 Expand (l**2 + 1 - 1)*(2 - 2 + 2*l**2)*(8 + 5 - 2*l - 5). -4*l**5 + 16*l**4 Expand (3*b - 5*b + 0*b)*(-b + 4*b + 0*b - 4*b + 5*b + 0*b + (-7*b + 3*b + 2*b)*(2 - 1 + 1) + 0*b - 3*b + 2*b + b + 2*b - 4*b)*(-1 + 0 - 1). -8*b**2 Expand (2*u - 2*u - u**2)*(-u + u + 2*u)*(249*u - 36*u**2 - 249*u). 72*u**5 Expand -s**3 + 3*s**3 + 0*s**3 + (0*s - 2*s + s)*(6*s**2 - 2*s**2 - 2*s**2) + 0 - s**3 + 0 + 2*s**3 + s - s + 2 - 5*s**3 - 2 - 4*s**3 + 0*s**3 + 6*s**3. -2*s**3 Expand (-5 + 1 - 2)*(-1 + 0 - 1)*(5*r**2 - 4*r**2 - 3*r**2) - 3*r + r**2 + 3*r. -23*r**2 Expand (-3*b - b + 5*b)*((-2 + 3 + 0)*(-2 + 0 + 0) + 4 + 2 - 2). 2*b Expand (-2*d**3 + 3*d**3 + d**3)*(0 + 2 - 1) - 2*d**3 + 2*d**3 + 2*d**3 + (d**2 - 3*d**2 + d**2)*(1 - 3 + 1)*(d + 4*d - 3*d). 6*d**3 Expand (6*t**5 - 3*t**5 + 0*t**5)*((-1 + 2 + 2)*(0 - 1 - 2) - 1 - 2 + 2). -30*t**5 Expand 4*y + 3*y**2 - 4*y + (-1 + 1 - y**2)*(2 - 3 - 1). 5*y**2 Expand 3*c**2 + 2*c - 7*c**2 - 4 + 2 - c + c + c**2 + (1 + 3 - 2)*(3*c + c**2 - 3*c). -c**2 + 2*c - 2 Expand (-2*m**3 - m**2 + m**2)*(2 - 2 - m) + 5*m**4 + 2*m**4 - 5*m**4. 4*m**4 Expand (-4*t + 2*t + 4*t)*(1 + 1 + 0) + (-3*t + 5*t + t)*(4 - 3 + 0). 7*t Expand (-2 + 1 + 4)*(-31*m - 9 + 9)*(-3 + 4 - 3). 186*m Expand (5*g - 3*g + 3*g)*(g + 0*g - 3*g) + g**2 + 2*g - 2*g. -9*g**2 Expand (3 - 6 + 1)*(0 - 1 + 3)*(-328*o**2 + 328*o**2 - 31*o**4). 124*o**4 Expand -1 + 1 - 2*k**2 + 1 + (-k + 0*k + 3*k)*(-1 + k + 1) + 2*k**2 + k**2 - 4*k**2. -k**2 + 1 Expand (-m**3 - 2*m**3 + m**3 - 1)*(-5*m**2 - m**2 + 5*m**2 + (-m**2 + 4*m**2 - 2*m**2)*(1 + 1 - 4) + 0*m**2 + 0*m**2 + 2*m**2). 2*m**5 + m**2 Expand (4*p**3 - 5*p**3 + 3*p**3)*(0*p - p + 3*p) + 45*p**3 - 45*p**3 - 8*p**4. -4*p**4 Expand (2*y**5 - 3*y**5 - 6*y**5 + 2*y**5 - 3*y**5 - y**5 + (3*y**3 + y**3 - 5*y**3)*(1 - 1 + 2*y**2))*(-2 + 5 + 0). -33*y**5 Expand (4 + 0 + 7)*(-v**4 + v**4 + v**4). 11*v**4 Expand 3*b**2 - b**2 + 2*b**2 + (b**2 + b**2 - b**2)*(3 - 4 - 2). b**2 Expand (-7*w + 6*w - 5*w)*(-3 + 0 + 5)*(-w + w - w). 12*w**2 Expand (-3*r**3 + r**3 + r**3)*(4*r**2 - 2*r**2 - r**2) - r**5 - r**2 + r**2 + (-2 + 3 + 1)*(0*r**5 - r**5 - 3*r**5)*(1 - 4 + 4). -10*r**5 Expand (74*u**3 + 127*u**3 + 4*u**3 - 10*u**3)*(2*u + 0*u - 4*u). -390*u**4 Expand (-41*l + 4*l - 12*l)*(3 - 5 + 0). 98*l Expand 3*n + 3*n - 5*n + (-n - 1 + 1)*(1 - 1 - 1) + 1 - 1 + 2*n + 2 - 2 + n + (4 - 2 - 4)*(-n - 2*n + 4*n) + 3*n + 4 - 4. 6*n Expand 4*v**5 - v**5 - 4*v**5 - 2*v**5 + 0*v**3 + 0*v**3 + (-4 - v + 4)*(-2*v**3 + 2*v**4 + 2*v**3) - 6*v**5 - 5*v**5 + 2*v**5. -14*v**5 Expand (0*p + p + 0*p)*(3*p**2 - 2*p**2 - 3*p**2). -2*p**3 Expand (4*m**2 + 0*m**2 - 6*m**2)*(0*m - 5*m + 3*m) + 11*m**3 + 5*m**3 - 6*m**3. 14*m**3 Expand (12*g**3 + 8*g**3 - 30*g**3)*(3 - 1 - 1)*(2*g + 2*g - 3*g). -10*g**4 Expand (-m + 3*m + 0*m)*(5 - 2 - 4 + (0 + 1 - 2)*(-1 - 2 + 4))*(2 - 4 + 3). -4*m Expand 0*j**2 + 6*j**2 - 5*j**2 - 3 + (0*j - 4*j + 6*j)*(0 + 0 - j) + 0*j - 2*j**2 + 0*j. -3*j**2 - 3 Expand (1 - 1 - 5*k**3)*(10*k + k + 2*k)*(3 - 3 - k). 65*k**5 Expand (0*k**2 - 3*k**2 - 4*k**2)*(-4*k + k + 4*k) + (k + k - 3*k)*(-5*k**2 + k**2 + 3*k**2). -6*k**3 Expand 0*b**2 + 0*b**2 - 2*b**2 + (-b + b - 2*b)*(32 - 16*b - 32). 30*b**2 Expand (4*w - w - 4*w)*(-3*w + 18*w - 3*w + 4*w). -16*w**2 Expand 0*k + 5*k**2 + 0*k + 3*k**2 - k**2 - k**2 + (2*k + 0 + 0)*(-2*k + 3*k + k) + 3 - 3 + k**2. 11*k**2 Expand (b - 13*b + 8*b)*(3 - 3 - b**2). 4*b**3 Expand -3*z**5 + 2*z**5 + 0*z**5 + (-2*z + 0 + 0)*(1 - 1 - 2*z**4) + (26*z**4 - 10*z**4 - 10*z**4)*(3 - 3 - z). -3*z**5 Expand (-2 + 1 + 2)*(4*k + 40 - 40)*(-k**2 + 3*k**2 - 4*k**2). -8*k**3 Expand (3 - 1 + 0)*(y - 5*y - 10*y). -28*y Expand -4 - 2*o**3 + 4 + (5 + 5*o**2 - 5)*(2 + 3*o - 2). 13*o**3 E
{ "pile_set_name": "DM Mathematics" }
iple of 10? True Is 341 a factor of 175847? False Is 419 a factor of 288498? False Is 1761161 a multiple of 41? False Is 1229002 a multiple of 214? True Is 137 a factor of 1394807? False Is 5557 even? False Does 938 divide 2723389? False Is 6 a factor of 2648129? False Does 271 divide 2007568? True Is 44 a factor of 3284344? False Does 167 divide 4690696? True Does 68 divide 1202240? True Does 285 divide 2031765? True Does 168 divide 118272? True Is 90038 a multiple of 26? True Is 585871 a multiple of 11? True Is 10457396 a multiple of 607? True Is 205 a factor of 11169425? True Does 416 divide 822357? False Is 147856 a multiple of 16? True Is 10049327 a multiple of 359? False Is 252594 a multiple of 18? True Is 9027 a multiple of 3? True Is 227477 a multiple of 2? False Is 80 a factor of 10442? False Is 239610 a multiple of 10? True Is 18546 a multiple of 66? True Is 18 a factor of 1018026? True Does 5 divide 5144810? True Is 131316 a multiple of 184? False Is 9 a factor of 133221? False Is 859800 a multiple of 8? True Is 3225952 a multiple of 92? False Is 86 a factor of 11950221? False Is 58737 even? False Is 13392393 a multiple of 456? False Does 74 divide 35298? True Is 39575 a multiple of 26? False Does 193 divide 1455066? False Is 4 a factor of 540380? True Does 88 divide 912864? False Is 249856 a multiple of 74? False Is 616518 a multiple of 126? True Does 16 divide 195028? False Does 917 divide 82719? False Is 2480312 a multiple of 58? True Is 7184496 a multiple of 44? True Does 88 divide 877976? True Is 4557828 a multiple of 292? True Is 42804 a multiple of 3? True Is 27 a factor of 54081? True Does 53 divide 12358063? True Is 82 a factor of 413854? True Does 1157 divide 1397656? True Is 23 a factor of 233999? False Does 740 divide 1850018? False Does 201 divide 1190973? False Does 3 divide 2124541? False Does 3 divide 48427? False Is 875870 a multiple of 385? False Does 58 divide 43618? False Does 31 divide 1656919? True Is 12 a factor of 3899? False Is 35772 a multiple of 13? False Is 54 a factor of 870? False Is 26 a factor of 1290068? True Does 38 divide 19975? False Is 192855 a multiple of 3? True Is 296 a factor of 296296? True Is 140 a factor of 2815540? True Is 9 a factor of 17114? False Is 7969386 a multiple of 394? False Is 31659 a multiple of 519? True Is 161 a factor of 4603? False Does 62 divide 9367890? True Is 1184336 a multiple of 65? False Is 2592240 a multiple of 120? True Is 18883 a multiple of 23? True Is 4 a factor of 15108? True Does 813 divide 384549? True Does 10 divide 58380? True Is 1803854 a multiple of 243? False Does 8 divide 541961? False Does 102 divide 193015? False Does 117 divide 288405? True Is 17108 a multiple of 188? True Is 302 a factor of 593447? False Is 7 a factor of 12605380? False Does 31 divide 1238140? True Is 120524 a multiple of 58? True Does 8 divide 1449720? True Is 843302 a multiple of 3? False Is 13556900 a multiple of 535? True Does 426 divide 1262650? False Does 40 divide 550185? False Is 211685 a multiple of 66? False Is 9 a factor of 184900? False Does 5 divide 2911605? True Is 536069 a multiple of 39? False Is 24025 a multiple of 23? False Is 179 a factor of 92006? True Does 182 divide 9937382? True Does 248 divide 1258677? False Is 19 a factor of 214170? False Does 504 divide 1520158? False Is 145120 a multiple of 10? True Is 2963182 a multiple of 851? True Does 46 divide 1431888? True Is 26 a factor of 33320? False Is 69 a factor of 1534201? False Is 1084112 a multiple of 50? False Does 154 divide 2859780? True Is 304 a factor of 2788545? False Does 459 divide 179928? True Does 26 divide 457370? False Is 8 a factor of 87090? False Is 32 a factor of 471849? False Is 455 a factor of 551460? True Is 1210914 a multiple of 187? False Is 6 a factor of 2045598? True Is 67 a factor of 593687? True Does 114 divide 118104? True Does 16 divide 4017930? False Does 291 divide 2808102? False Is 887009 a multiple of 17? True Does 41 divide 159806? False Is 5131602 a multiple of 6? True Is 650880 a multiple of 48? True Is 1522570 a multiple of 10? True Does 129 divide 2448807? True Does 30 divide 17370? True Does 73 divide 389819? False Does 8 divide 57168? True Is 756961 a multiple of 29? False Is 106580 a multiple of 106? False Is 345763 a multiple of 187? True Is 2 a factor of 54830? True Is 6 a factor of 224509? False Is 4306758 a multiple of 43? False Is 106 a factor of 88510? True Is 718789 a multiple of 125? False Is 1231296 a multiple of 359? False Is 64602 a multiple of 5? False Is 483 a factor of 660744? True Does 37 divide 6033313? False Is 75 a factor of 2748225? True Is 790848 a multiple of 144? True Is 392400 a multiple of 20? True Is 194109 a multiple of 124? False Is 788481 a multiple of 27? True Is 1659354 a multiple of 23? False Is 19866941 a multiple of 44? False Is 60 a factor of 1844859? False Is 414988 a multiple of 167? False Does 16 divide 112993? False Does 119 divide 268758? False Is 2297048 a multiple of 104? True Is 70439 a multiple of 612? False Does 29 divide 224707? False Is 628 a factor of 409456? True Is 50139 a multiple of 81? True Is 248095 a multiple of 295? True Is 1255009 a multiple of 20? False Does 456 divide 611040? True Is 6 a factor of 10314? True Is 62 a factor of 721156? False Is 543 a factor of 7199341? False Is 650 a factor of 16591900? True Is 23 a factor of 482815? False Is 5 a factor of 6129? False Does 245 divide 1935090? False Is 208714 a multiple of 26? False Is 86 a factor of 52165? False Does 182 divide 2748746? True Is 8 a factor of 118408? True Does 413 divide 2280999? True Is 146810 a multiple of 38? False Is 17 a factor of 814793? True Is 3724705 a multiple of 37? False Is 98 a factor of 157316? False Is 126 a factor of 520632? True Is 311098 a multiple of 179? False Does 60 divide 443280? True Is 78 a factor of 639600? True Is 2 a factor of 1784202? True Is 16702629 a multiple of 67? False Is 11 a factor of 80707? True Is 14 a factor of 1363922? True Is 25 a factor of 64250? True Is 6 a factor of 1135320? True Is 37 a factor of 7922373? False Does 15 divide 25342? False Does 422 divide 529183? False Does 9 divide 416547? True Is 28 a factor of 879640? False Is 79856 a multiple of 46? True Does 23 divide 12437457? True Is 1345410 a multiple of 33? True Is 37733 a multiple of 99? False Does 51 divide 3726570? True Is 6728064 a multiple of 32? True Is 3 a factor of 459952? False Is 267 a factor of 1253031? True Is 200811 a multiple of 166? False Does 5 divide 36113? False Is 72 a factor of 490608? True Does 61 divide 2191852? True Is 435 a factor of 582030? True Does 143 divide 662662? True Is 11 a factor of 45185? False Is 10 a factor of 1248680? True Is 318 a factor of 2046798? False Is 894115 a multiple of 459? False Is 21 a factor of 68733? True Is 165 a factor of 814634? False Is 1346240 a multiple of 168? False Does 8 divide 127914? False Is 7017611 a multiple of 6? False Is 747450 a multiple of 25? True Is 66006 a multiple of 171? True Is 6 a factor of 88605? False Does 251 divide 11372446? False Is 20 a factor of 89160? True Is 16 a factor of 5861456? True Does 394 divide 210369? False Does 104 divide 2695992? True Is 4 a factor of 39185? False Does 205 divide 9298665? False Is 241276 a multiple of 613? False Does 31 divide 424142? True Is 56368 a multiple of 8? True Does 24 divide 16644792? True Is 6 a factor of 454536? True Is 339 a factor of 10724763? False Is 11 a factor of 545385? False Is 73 a factor of 56408? False Does 45 divide 17323? False Is 334949 a multiple of 21? False Is 28 a factor of 6455652? True Is 38 a factor of 9291? False Is 35 a factor of 153814? False Is 29 a factor of 273947? False Does 30 divide 8728051? False Does 8 divide 29376? True Is 2417882 a multiple of 113? False Is 5021908 a multiple of 97? False Is 6 a factor of 91248? True Is 10 a factor of 1638932? False Does 149 divide 3730762? False Is 43 a factor of 104799? False Is 28 a factor of 771538? False Is 389070 a multiple of 22? True Is 11 a factor of 20370396? False Does 148 divide 74181? False Does 2 divide 1171156? True Is 11 a factor of 264803? True Does 75 divide 2413267? False Is 36 a factor of 226026? False Is 155160 a multiple of 45?
{ "pile_set_name": "DM Mathematics" }
-101432, -175228, -278220? -811*s**3 + 5*s - 82 What is the n'th term of -5659058, -11318113, -16977166, -22636217, -28295266? n**2 - 5659058*n - 1 What is the s'th term of 2224077, 2224088, 2224095, 2224098? -2*s**2 + 17*s + 2224062 What is the a'th term of -48539, -190738, -427743, -759560, -1186195? -a**3 - 47397*a**2 - a - 1140 What is the g'th term of -71285, -71409, -71533, -71657, -71781? -124*g - 71161 What is the q'th term of 233877, 233882, 233891, 233904, 233921? 2*q**2 - q + 233876 What is the k'th term of 30113, 30682, 31251, 31820? 569*k + 29544 What is the i'th term of 3950, 5912, 9074, 13436, 18998, 25760? 600*i**2 + 162*i + 3188 What is the y'th term of 528691, 2114767, 4758227, 8459071, 13217299? 528692*y**2 - 1 What is the y'th term of -3523, -2440, -1357? 1083*y - 4606 What is the t'th term of 4819280, 4819231, 4819182, 4819133, 4819084? -49*t + 4819329 What is the d'th term of 15529112, 15529111, 15529110, 15529109, 15529108? -d + 15529113 What is the c'th term of 429191, 1716937, 3863181, 6867923, 10731163, 15452901, 21033137? 429249*c**2 - c - 57 What is the k'th term of -12439, -25041, -37805, -50731, -63819, -77069, -90481? -81*k**2 - 12359*k + 1 What is the c'th term of 81103, 80874, 80499, 79978, 79311, 78498? -73*c**2 - 10*c + 81186 What is the v'th term of 18077306, 72309232, 162695774, 289236932, 451932706? 18077308*v**2 + 2*v - 4 What is the q'th term of -27744, -27959, -28162, -28347, -28508, -28639? q**3 - 222*q - 27523 What is the k'th term of -28002, -55927, -83850, -111771, -139690, -167607, -195522? k**2 - 27928*k - 75 What is the g'th term of -672, -1660, -3308, -5616, -8584, -12212? -330*g**2 + 2*g - 344 What is the n'th term of 174, 712, 2126, 4854, 9334, 16004, 25302? 73*n**3 + 27*n + 74 What is the r'th term of -1545, -3060, -4559, -6042, -7509, -8960, -10395? 8*r**2 - 1539*r - 14 What is the c'th term of 2442, 4815, 7186, 9555, 11922? -c**2 + 2376*c + 67 What is the q'th term of 14497164, 14497168, 14497172, 14497176? 4*q + 14497160 What is the z'th term of -981, -2602, -5299, -9072, -13921, -19846? -538*z**2 - 7*z - 436 What is the i'th term of 7641710, 7641706, 7641698, 7641686, 7641670? -2*i**2 + 2*i + 7641710 What is the i'th term of 1295882, 2591926, 3887970? 1296044*i - 162 What is the i'th term of 138707812, 138707814, 138707816, 138707818, 138707820? 2*i + 138707810 What is the m'th term of -723025, -1446044, -2169063, -2892082? -723019*m - 6 What is the t'th term of 29648296, 59296600, 88944904, 118593208, 148241512, 177889816? 29648304*t - 8 What is the u'th term of -41429, -41345, -41201, -40997, -40733, -40409, -40025? 30*u**2 - 6*u - 41453 What is the k'th term of 112326, 112379, 112384, 112317, 112154? -4*k**3 + 81*k + 112249 What is the w'th term of 2944, 6671, 11176, 16459, 22520, 29359? 389*w**2 + 2560*w - 5 What is the o'th term of 10711, 4901, -909? -5810*o + 16521 What is the f'th term of -42029, -84416, -126787, -169136, -211457? f**3 + 2*f**2 - 42400*f + 368 What is the a'th term of -1193819, -4775222, -10744223, -19100822, -29845019? -1193799*a**2 - 6*a - 14 What is the n'th term of 189564, 186984, 182690, 176688, 168984, 159584, 148494? n**3 - 863*n**2 + 2*n + 190424 What is the g'th term of 245772, 245452, 244924, 244188? -104*g**2 - 8*g + 245884 What is the l'th term of -432763, -1731041, -3894823, -6924097, -10818851, -15579073, -21204751? 2*l**3 - 432764*l**2 - 1 What is the p'th term of 1079421, 2158787, 3238153, 4317519, 5396885, 6476251? 1079366*p + 55 What is the g'th term of -619811, -619834, -619855, -619874, -619891? g**2 - 26*g - 619786 What is the u'th term of -1349372, -1349377, -1349382, -1349387? -5*u - 1349367 What is the v'th term of -49694, -43229, -36764, -30299, -23834? 6465*v - 56159 What is the r'th term of -123760, -990058, -3341432, -7920418, -15469552, -26731370? -123756*r**3 - 2*r**2 - 2 What is the h'th term of -6412, -12756, -19012, -25174, -31236, -37192, -43036? h**3 + 38*h**2 - 6465*h + 14 What is the l'th term of -25282315, -25282310, -25282305, -25282300, -25282295? 5*l - 25282320 What is the r'th term of -54200069, -108400135, -162600201? -54200066*r - 3 What is the b'th term of 14992, 15134, 15364, 15676, 16064, 16522? -b**3 + 50*b**2 - b + 14944 What is the w'th term of -2159116, -4318259, -6477402? -2159143*w + 27 What is the l'th term of -3120680, -6241344, -9361998, -12482642, -15603276, -18723900, -21844514? 5*l**2 - 3120679*l - 6 What is the u'th term of 66502, 66645, 66786, 66925, 67062, 67197? -u**2 + 146*u + 66357 What is the u'th term of -28291, -112912, -253851, -451108, -704683? -28159*u**2 - 144*u + 12 What is the j'th term of 72532, 145661, 218774, 291871? -8*j**2 + 73153*j - 613 What is the j'th term of 41000, 41027, 41074, 41141, 41228, 41335? 10*j**2 - 3*j + 40993 What is the n'th term of 4186915, 8373829, 12560741, 16747651, 20934559, 25121465? -n**2 + 4186917*n - 1 What is the x'th term of -329, 10500, 21327, 32152, 42975? -x**2 + 10832*x - 11160 What is the m'th term of -1019, -1670, -1873, -1628, -935, 206? 224*m**2 - 1323*m + 80 What is the g'th term of 2424380, 2424392, 2424404, 2424416? 12*g + 2424368 What is the t'th term of 147880, 147076, 146272, 145468? -804*t + 148684 What is the p'th term of -459417060, -459417057, -459417054? 3*p - 459417063 What is the j'th term of 1440598, 1440593, 1440586, 1440577? -j**2 - 2*j + 1440601 What is the b'th term of 1187068, 2374180, 3561330, 4748518, 5935744? 19*b**2 + 1187055*b - 6 What is the z'th term of 2922, 11187, 24790, 43731, 68010, 97627? 2669*z**2 + 258*z - 5 What is the j'th term of -9662649, -9662653, -9662659, -9662667? -j**2 - j - 9662647 What is the f'th term of 1264, 2683, 4238, 5923, 7732, 9659, 11698, 13843? -f**3 + 74*f**2 + 1204*f - 13 What is the o'th term of -1246, -7647, -25070, -59041, -115086? -921*o**3 + 15*o**2 + o - 341 What is the d'th term of -13758715, -27517225, -41275733, -55034239, -68792743? d**2 - 13758513*d - 203 What is the y'th term of 2929732, 5859460, 8789188, 11718916? 2929728*y + 4 What is the g'th term of -7823863, -7823866, -7823869? -3*g - 7823860 What is the x'th term of 72706, 72685, 72610, 72451, 72178? -5*x**3 + 3*x**2 + 5*x + 72703 What is the u'th term of 3523, 1381, -761? -2142*u + 5665 What is the v'th term of -61429, -61385, -61341? 44*v - 61473 What is the f'th term of -442711, -442696, -442663, -442606, -442519, -442396, -442231? f**3 + 3*f**2 - f - 442714 What is the b'th term of 141097400, 141097403, 141097406, 141097409, 141097412? 3*b + 141097397 What is the u'th term of -2590921, -5181888, -7772867, -10363864, -12954885, -15545936, -18137023? -u**3 - 2590960*u + 40 What is the w'th term of 4926243, 9852443, 14778641, 19704837, 24631031? -w**2 + 4926203*w + 41 What is the j'th term of 3278, 13393, 30518, 54869, 86662? 36*j**3 + 3289*j**2 - 4*j - 43 What is the m'th term of 805, 493, -519, -2633, -6251, -11775, -19607? -67*m**3 + 52*m**2 + m + 819 What is the z'th term of -4833, -9767, -14693, -19611, -24521? 4*z**2 - 4946*z + 109 What is the f'th term of 35987, 144008, 324045, 576092, 900143, 1296192, 1764233, 2304260? -f**3 + 36014*f**2 - 14*f - 12 What is the s'th term of 7528, 7199, 6308, 4573, 1712, -2557, -8516, -16447? -47*s**3 + s**2 - 3*s + 7577 What is the b'th term of -4469, -4713, -5105, -5645, -6333, -7169? -74*b**2 - 22*b - 4373 What is the v'th term of 110120, 220061, 330002? 109941*v + 179 What is the y'th term of 10540, 10020, 9558, 9184, 8928, 8820? 5*y**3 - y**2 - 552*y + 11088 What is the s'th term of -282, -309, -382, -501, -666? -23*s**2 + 42*s - 301 What is the l'th term of 926, 1421, 1942, 2489? 13*l**2 + 456*l + 457 What is the t'th term of -11730513, -11730527, -11730565, -11730639, -11730761, -11730943, -11731197, -11731535? -2*t**3 - 11730511 What is the z'th term of 56804, 260781, 600742, 1076687, 1688616, 2436529? 67992*z**2 + z - 11189 What is the n'th term of 13721, 13145, 12569? -576*n + 14297 What is the x'th term of 12102875, 24205751, 36308627, 48411503, 60514379, 72617255? 12102876*x - 1 What is the m'th term of -2157, -7094, -12041, -17004, -21989, -27002? -m**3 + m**2 - 4933*m + 2776 What is the j'th term of -3153, -12780, -28831, -51312, -80229, -115588, -157395? -j**3 - 3206
{ "pile_set_name": "DM Mathematics" }
-4*y - 16. Sort h, -3, z. -3, z, h Let c(u) = u**2 - 4. Let r be c(-5). Let p be 1/3*r/(-14). Let z = -11 + 7. Put z, -3, p in ascending order. z, -3, p Let b = 19 - 18. Put -4, 2, b in descending order. 2, b, -4 Suppose 0 = -3*j + 4*m - 9*m + 8, 4*j - 2*m + 24 = 0. Suppose l - g = 4 - 1, -l + 3 = -2*g. Suppose 0 = 5*b - l + 8. Put j, b, 3 in decreasing order. 3, b, j Suppose 3*x = 4*x - t, 3*x - 5*t = 10. Sort 2, x, 5, 1 in ascending order. x, 1, 2, 5 Let v(x) = -x**2 + 3*x. Let j be v(3). Let a be (2 + j)/(-6)*1. Sort 4, a, -0.2 in descending order. 4, -0.2, a Let p(y) = y**2 + 8*y + 9. Let r be p(-7). Sort -2, -15, r. -15, -2, r Suppose v = -1 - 4. Let f = -36 - -35. Let i = -7 - -4. Sort f, i, v. v, i, f Suppose -5*x + 15 = -4*x - 5*i, 4*i + 12 = -x. Suppose -l + 6 = -0. Let f be 3/l + (-22)/4. Sort f, 5, x in decreasing order. 5, x, f Let k be (-3)/(-39)*(58 + -8) + -4. Put k, 1/3, -0.8 in descending order. 1/3, k, -0.8 Let k = -0.31 - -19.31. Let g = k - 28. Let q = -5 - g. Put 1/8, q, -3 in descending order. q, 1/8, -3 Suppose 0 = n - 0*n - 3. Suppose -2*l = -4*g + 100, n*g + 0*g = -2*l + 75. Suppose -g + 9 = 4*z. Put z, 3, 1 in descending order. 3, 1, z Let z(x) = 2*x**2 - 58*x - 3. Let r be z(29). Sort -7, 0, r, 2 in decreasing order. 2, 0, r, -7 Let m = -0.5 + 15.5. Let x = 10 - m. Put x, -4/5, 1 in descending order. 1, -4/5, x Let z be (6/(-9))/(4/18). Let p be 0/z + 1/(-3). Sort -5, -0.5, p. -5, -0.5, p Let a be -4 - (3 + 2 + -4). Sort -3, -6, a in ascending order. -6, a, -3 Suppose -5*z - 2*c = 21 + 1, -c = -3*z - 11. Let h be -2 - 2*(-2)/4. Put z, h, 2 in decreasing order. 2, h, z Let y = -2 - -2.4. Sort y, -0.3, 2 in ascending order. -0.3, y, 2 Let b(v) = -v**2 + 5*v + 9. Let x be b(7). Sort -29, x, -1 in descending order. -1, x, -29 Suppose 5*f - 35 = -2*n, 2*n + 2*f - 17 = 3. Sort n, -1, -3 in increasing order. -3, -1, n Let f(p) be the third derivative of p**6/120 - p**5/20 + p**4/12 + p**3/3 + 3*p**2. Let u be f(2). Put 3, -2, u in descending order. 3, u, -2 Let z = 2 - -2. Let w = z + -9. Put 4, w, 0 in decreasing order. 4, 0, w Let x be (-5)/(-35)*1*2/1. Let i be (4/36)/(2/4). Sort i, -0.1, x in decreasing order. x, i, -0.1 Suppose -8*i + 7*i - 3 = 0. Sort -5, i, 0, 3 in decreasing order. 3, 0, i, -5 Let m = -0.02 - -0.92. Put 0.4, 3/7, m in descending order. m, 3/7, 0.4 Let n = -15/4 + 21/4. Sort -3/5, -2/5, n. -3/5, -2/5, n Let n be 5/(-15)*(-21)/1. Suppose -4*v + 4*u = -v - n, -u - 3 = -v. Suppose 4*l - 8 = -5*c, -8 = 3*c - v*l + 2. Sort c, 4, -4 in decreasing order. 4, c, -4 Suppose -4*o = 6*c - 3*c - 8, -8 = -4*o + c. Let q = 5 - 1. Put 0.1, q, o in decreasing order. q, o, 0.1 Let f be 2/6 - (-5)/3. Sort 3, 1, f in ascending order. 1, f, 3 Let a be 3/(-9)*(-9)/(-6). Let g = 2.5 - -0.5. Put g, 1, a in increasing order. a, 1, g Suppose -7*s - 12 = -s. Put 0.5, 3, s in decreasing order. 3, 0.5, s Let m = 1.5 + -1. Let y = m - 0.2. Let p = -1 + 0.6. Sort y, 0.2, p in increasing order. p, 0.2, y Let o be 40/(-96)*27/(-15). Sort o, 3/5, 5. 3/5, o, 5 Let z be -1*(-12 + 10 - (0 - 1)). Put -1, 6, z in descending order. 6, z, -1 Let j = -40/111 + 1/37. Sort 0.2, 2, j. j, 0.2, 2 Suppose 0*k + 5*k + 31 = 3*z, -3*z - 4*k - 14 = 0. Suppose -5*o + 14 + 11 = 0. Sort z, o, -6. -6, z, o Suppose -19 = -3*c - 7. Put c, -2, -4/7 in increasing order. -2, -4/7, c Let q = -15 - -10. Let l(b) = -b**2 + 16*b - 19. Let p be l(15). Put q, p, 4 in descending order. 4, p, q Let d = -31 - -34. Sort d, -7, -5 in increasing order. -7, -5, d Let p = -13 - -16. Put 5, p, 0 in descending order. 5, p, 0 Let a = -12 + 6. Sort 1, -1, a in descending order. 1, -1, a Let x = 189/5 - 38. Let o = -11 + 15. Let n = o - 9. Put n, -0.3, x in descending order. x, -0.3, n Let t = 0.8 - 0.8. Sort -4, t, -0.3 in increasing order. -4, -0.3, t Let t(m) = m**2 - 8*m - 2. Let i be t(7). Let h = -18 + 12. Let o = i - h. Put -2, 2, o in ascending order. o, -2, 2 Let t = -41 - -35. Sort 0, -2/13, t in decreasing order. 0, -2/13, t Let n = 0.1 - 5.1. Let r = 8 + n. Put r, 0.5, 1/5 in ascending order. 1/5, 0.5, r Suppose 0 = 5*x + 24 - 9. Suppose -2*w + 8 = -0*w. Put x, w, 0 in increasing order. x, 0, w Let s(j) = -j + 1. Let g be s(-4). Put 0.06, -5, g in decreasing order. g, 0.06, -5 Suppose 5*g = 4*p + p - 25, 0 = -5*g - 5. Sort -4, p, -3 in descending order. p, -3, -4 Let o = 0.05 + -0.55. Sort 0.3, o, -8. -8, o, 0.3 Let k be (-2)/(-2)*15/(-3). Let m(c) = c + 1. Let v be m(k). Put -3, v, 3 in descending order. 3, -3, v Let a(z) = 3*z - 28. Let b(c) = -c + 9. Let d(y) = -2*a(y) - 7*b(y). Let s be d(3). Suppose 5 = -3*p - 10. Sort p, s, 5 in descending order. 5, s, p Let f = -58 + 70. Sort f, 3, 4, -3. -3, 3, 4, f Let b(x) = x - 13. Let a be b(9). Let u(o) = o**3 + 5*o**2 + o + 2. Let f be u(-5). Sort 1, a, f in increasing order. a, f, 1 Let w be 15 + 1 - 3*-1. Suppose -w = -5*i + 16. Sort i, 3, 2 in decreasing order. i, 3, 2 Suppose 5*g = -11 - 9. Suppose c - 2*n = 5, 2*c - 4*c - n = -10. Sort 0, g, c. g, 0, c Suppose -1 + 4 = g. Suppose 0*c = -g*c. Let t = -6 - -2. Sort c, -1, t in decreasing order. c, -1, t Let d = 21 + -18. Sort d, -3, -4 in decreasing order. d, -3, -4 Let s = 14 + -13. Suppose c - s = -5. Let u = -0.4 - 1.6. Put c, u, 3 in descending order. 3, u, c Let y(b) = b**2 - 7*b + 3. Let x be y(7). Let k be 9/(-3)*-1 - -1. Let m = k - x. Put m, 4, -4 in decreasing order. 4, m, -4 Let q be (2/8)/(4/(-8)). Sort q, -0.3, 3 in increasing order. q, -0.3, 3 Let h(d) = d**3 + 2*d**2 - d + 3. Let j be h(-3). Sort 3, -5, j. -5, j, 3 Let z = 3.94 - -0.06. Put -5, z, 0.2 in descending order. z, 0.2, -5 Suppose -10*u + 6*u - 4 = 0. Put u, 3, 9 in ascending order. u, 3, 9 Let u be (-21)/(-18)*3/14. Sort -4, 2, u in descending order. 2, u, -4 Let m(w) = -2*w**2 - 4 - 3*w**3 - 2*w**3 - 3*w**2 + 6*w**3 + 6*w. Let u be m(4). Put u, 1, -3 in decreasing order. u, 1, -3 Let g be (-4)/(-6)*27/51. Sort 2, -0.3, g in increasing order. -0.3, g, 2 Let p = -1.8 - -2.1. Sort 2/9, p, -0.3. -0.3, 2/9, p Let h = 1 - -1. Let s be (-28)/(-20)*h/7. Sort s, -0.5, -1/6 in decreasing order. s, -1/6, -0.5 Suppose 3*d + 1 + 0 = 4*l, 4*d + 2 = 5*l. Let r be (l/5)/(39/15). Let b = 0.103 - -3.897. Sort 5, b, r in increasing order. r, b, 5 Let a be (2 + -5)/(6/(-4)). Let r be (-3)/2*8/(-3). Sort r, -13, a. -13, a, r Suppose -10 = -4*x - 2. Suppose 3*s = -x*s + 30. Put s, 1, -2 in decreasing order. s, 1, -2 Suppose -c + 1 = 3. Let q = -0.06 - -0.46. Let r = 0.2 + 0. Sort r, c, q in increasing order. c, r, q Let j = 0.94 + 0.06. Let o(l) = -l**2 - 7*l - 6. Let h be o(-5). Put h, j, -0.2 in decreasing order. h, j, -0.2 Let k = 0.946 - 0.046. Sort k, 5, -4/3. -4/3, k, 5 Let b = -12 - -20. Let u be 22/152 + (-2)/b. Let r = 3.4 - 3. Put u, r, 3 in decreasing order. 3, r, u Let u = -2.7 - -3.2. Put 2, u, 0.7 in increasing order. u, 0.7, 2 Let u be 0/(-2) + 3 - 2. Suppose 0 = -v - 5 + u. Sort v, -5, 5 in increasing order. -5, v, 5 Let q = -14 + 10. Suppose 0 = 3*c - 1 + 10. Sort c, 2, q in decreasing order. 2, c, q Let p = -16 + 14.4. Let h = -1.74 - p. Let i = h - 0.06. Put i, -0.4, 1 in decreasing order. 1, i, -0.4 Let d = -7.9 + 8.4. Let s = -4/21 - -11/21. Sort d, s, 0. 0, s, d Let u(i) = i**3 - 7*i**2 + 2*i - 16. Let n be u(7). Sort 5, -5, n in descending order. 5, n, -5 Suppose -1 = 5*i - 6. Let v be (-20)/(-5) - 3/i. Let d = 0 - -2. Put d, 5, v in ascending order. v, d, 5 Let t = -2.9 - -3. Sort 3, t, -6. -6, t, 3 Let f be (-1)/(4/(-8))*-2. Let b = 0 - 0. Let i be (1 - 2)/(-2 + 1). Put b, f, i in ascending order. f, b, i Suppose 3*h = 2*h + 6. Let p = h - 3. Let m = 24 - 23. Sort m, -0.3, p. -0.3, m, p Let n = -183334/35 - -26937/5. Let m = 149 - n. Sort m, 2, -0.1 in descending order. 2, -0.1, m Let v = -0.1 - -1.1. Let o = -1.42 + 0.92. Let h = 2 - 1.8. Sort v, o, h in ascending order. o, h, v Suppose 2*q + 15 = 7*q. Suppose 0 = -q*l + 4*t + 7, 4*l + 3 = t - 5. Put 1/2, l, -2/5 in descending order. 1/2, -2/5, l Let x = -3 - 5. Let d = x + 7.6. Put -4, d, -2/9 in decreasing order. -2/9, d, -4 Suppose -3*g + 5*z = -22, -g + 5*z = 2 - 6. Let i = -12 + g. Sort 5, i, -4 in descending order. 5, i, -4 Let k = 1 - 6. Suppose -20 - 5 = -5*n. Sort 1, k, n in ascending order. k, 1, n Let y = 68 - 69. Sort
{ "pile_set_name": "DM Mathematics" }
is smaller: a or 48? 48 Let s = -79 + 78.59. Let b = s - -0.01. Let m = b + 1.4. Is -2 < m? True Let j be (-2 - -3)*(-5)/15. Does j = -7? False Let i = 1 - -2. Let l = 0 + i. Is 1 > l? False Let q be (1 + 1)/2 - -20. Let s be -1*(-6)/q - 0. Let v = 0.4 - 0.5. Which is smaller: s or v? v Let a(j) = -j**3 + 3*j**2 - 3*j + 3. Let o be a(3). Is o bigger than -3? False Let s = 15 - 17. Are 4 and s unequal? True Suppose -6*a + 11 = -3*a - 2*p, -6 = -3*a - 3*p. Suppose 2*n - a*n = 5. Are -4 and n non-equal? True Let p = 0.2 - 0. Let y = 12.1 - 12. Which is smaller: p or y? y Let r = -43 + 43.5. Let g(n) = -5*n**2 - 2*n. Let a(s) = -9*s**2 - 4*s. Let l(p) = -4*a(p) + 7*g(p). Let b be l(-2). Is b < r? True Let u be (-1 + 5)*4 + -1. Let h be (-5)/2*18/u. Which is smaller: -6 or h? -6 Let f(d) = d**3 + 2*d**2 - 3*d. Let r = 3 + -6. Let n be f(r). Which is greater: 2 or n? 2 Let z be (-2)/8*12/63. Is z equal to 1? False Suppose 1 - 3 = -2*a. Let o = -1 + a. Is 0 at most as big as o? True Let b be (1 - 2) + 18/14. Which is smaller: -1 or b? -1 Let x(a) = 2*a - 5*a + a + 11 + a. Let g be x(10). Which is smaller: 0 or g? 0 Let z be -2 - (0 + (-1 - -2)). Let p(j) = -j**2 - 2*j + 2. Let n be p(z). Is -2/5 bigger than n? True Let u be 9 - (1 - (0 + 0)). Suppose -3*n + 2*a = -17, 0 = 4*n - 2*a - 20. Suppose n*h - h = u. Which is greater: h or 5? 5 Let v = 12533/4 + -3153. Let l = v - -20. Let q = -2 + 3. Which is smaller: q or l? l Let c(i) = -2 + 1 + 6 - 6*i**2 - i + i**3. Let l be c(6). Let x = 0.3 - 1.3. Is l greater than or equal to x? True Let j(w) be the third derivative of -w**6/120 + 2*w**5/15 - 3*w**4/8 + 5*w**3/3 + w**2. Let y be j(7). Is y at most as big as -4? True Let m = -11 + 8. Let s(f) be the second derivative of -f**4/6 + f**3/6 - 8*f. Let v be s(1). Do v and m have the same value? False Let c be (-2)/5 + (-141)/(-15). Let i(t) = -8*t - 13. Let k be i(c). Let a be 0 - -1 - k/(-75). Is a equal to 0? False Let n = 320 + -2884/9. Is n not equal to 1? True Suppose 2*n = -n + 9. Let z be 4*1*n/(-18). Is z >= 5? False Suppose 12 = 4*b, 5*b = 2*d - 3*d + 17. Let i(l) = 1 - 3*l + 3*l - l**d - 7*l. Let k be i(-7). Is k smaller than 2/13? False Let s be 3/((-3)/7) - -1. Let o be (-9)/s - (-34)/(-12). Are o and -1 nonequal? True Let y(r) = 2*r**2 + 3*r + 2. Let d be y(-3). Let j = 8 - d. Is j equal to -3? True Suppose -5*x = 8*b - 4*b + 24, 2*x = -8. Is 2/71 != b? True Let t be 5/(-10) + (-35)/6. Which is bigger: -5 or t? -5 Let l = -0.3 + 0.4. Let b = l + -0.3. Which is smaller: b or 0? b Let s(n) = -n**3 - 10*n**2 - 8*n + 9. Let y be s(-9). Suppose 3*w - w = y. Which is smaller: 1 or w? w Let b be 0 - 0 - (-11)/(-22). Let n(f) = -f**2 - 4*f + 1. Suppose 2*p + 16 = -5*h, 4*p + 4*h + 20 + 0 = 0. Let q be n(p). Which is smaller: q or b? b Suppose 2*q = -w - 5, -3*q + 22 = -3*w - 2*q. Let s(h) = -h**2 - 8*h - 6. Let f be s(w). Let n be f + 9/(-3) - -1. Which is smaller: -1/2 or n? n Let n(c) = -c**3 - 3*c**2 - 4*c - 3. Let x be n(-2). Does 3/23 = x? False Let k be ((-20)/(-45))/(4/6). Let y = -6 + 9. Suppose 3*u + y = 6*u. Is u at most k? False Suppose 2*x - 11 = -35. Let z be (-4)/(-9)*(-9)/x. Let c = -0.2 - -0.6. Which is greater: c or z? c Suppose 0 = c - 6*c - n + 2, -2*c - 4 = -2*n. Is 8 < c? False Let k = -64 - -64. Which is bigger: -0.053 or k? k Let r be -5 - (-1)/((-1)/(-2)). Let g be (-8)/12*6 + 0. Which is bigger: g or r? r Let r(a) = a**2 + 3*a - 12. Suppose -4*z - 14 - 6 = 0. Let f be r(z). Is 1 <= f? False Let h be (-2 + 1)/((-4)/(-92)). Is -22 greater than or equal to h? True Let t(n) = -n**2 - 5*n + 5. Suppose 0 = 2*l + p + 5, -4*l = -2*p + 37 - 7. Let i be t(l). Suppose c = i*c - 8. Is 1 greater than c? False Let a(t) = -t**2 + t - 1. Let f(d) = -3*d**2 + 13*d - 1. Let b(y) = -2*a(y) + f(y). Let k be b(11). Which is smaller: k or -7? -7 Let q(v) = -v**3 - 8*v**2 + 20*v + 1. Let g be q(-10). Which is smaller: -3/7 or g? -3/7 Let z = 10 + -7. Suppose 0 = b + z*b. Suppose b*w - w = 0. Is w at most 0? True Let n = -3 - -1. Suppose -4 = l + 2. Let k = l + 7. Which is smaller: k or n? n Let f = -5 - -7. Suppose -f - 3 = 5*y. Which is greater: -2 or y? y Let c = -0.327 + -0.063. Let a = c + -0.01. Let d = -0.5 - a. Is d bigger than 0.2? False Let h(a) = a**3 + 2*a**2 + 2. Let f(m) = -m**2 + 5*m - 2. Let v be f(5). Let n be h(v). Is n greater than 3? False Let y be (-1)/((-1 + 2)/(-19)). Is y greater than 20? False Let c be (1/(20/8))/((-2)/10). Let n be (-2)/2*-1*-2. Let z be 2/4*0 + n. Is z at most c? True Let x(y) = y**2 + y - 6. Let s be x(0). Let m be (3 - -3)*4/s. Do m and -1 have the same value? False Let r be (-15103)/(-220) + 1/(-4). Let q = 69 - r. Is 1 equal to q? False Suppose -f - 6 - 1 = 0. Let k(j) = -2*j - 8. Let l be k(f). Let w be (2/l)/(5 - 6). Which is greater: w or 0? 0 Let u = -1 - -3. Suppose -u*g + 9 = g. Suppose -2 = k - 2*k. Is g not equal to k? True Let g = 55 - 54. Is -1/54 equal to g? False Suppose -3 = 10*t - 13*t. Which is smaller: 10/7 or t? t Let h be 2/6 + 144/(-189). Which is greater: -1 or h? h Let t(u) = -u**3 + 5*u**2 - u - 1. Let y be t(4). Let v = -12 + y. Is -9/4 >= v? False Suppose 5*p - 17 = 4*w, -17 = -0*w - w - 3*p. Are 3/4 and w non-equal? True Suppose 3*q = -2 + 5. Is 12/5 >= q? True Let y(k) = 4*k - 1. Let d be y(-2). Let c be -1*1 + (-3)/d. Let f = 1 + -2. Is c at most as big as f? False Let h(c) = 2*c - 15. Let r be h(8). Are 1/18 and r equal? False Suppose 2*z + 5*k = 24, 4*z = -2*k - 0*k + 32. Let q = -6 + z. Which is smaller: -1 or q? -1 Let o(s) = -2*s. Let k be o(0). Which is smaller: 1/10 or k? k Let z be -3 - -1 - -2 - -1. Let h be 76/40 + -2*1. Is h at most z? True Let i be ((-1)/2)/((-475)/(-100)). Suppose 0 = h + 3 - 2. Is h bigger than i? False Let j be (-2)/6 + 121/(-33). Which is smaller: j or -11/4? j Let o be 3/12 + 9/(-4). Let i be (-15)/4 + (-90)/(-120). Is i equal to o? False Let q(f) = -f**3 + 5*f**2 - 4*f + 2. Let m be q(4). Suppose 3*x + 13 = 4*h, h = -4*x + m*x + 6. Is -2/5 != x? True Suppose 3 = 2*z + 11. Is z equal to -5? False Let k(p) = -p**3 - p**2 + 3*p. Let x be k(-3). Let r be ((-4)/6)/(6/x). Let y = -10/13 + 43/39. Is y at least r? True Let b be ((-3)/(-15))/((-6)/(-5)). Suppose 2*u = -3*u - 3*x - 29, -u + 8 = -4*x. Let y = 3 + u. Which is greater: y or b? b Let i = 3 + -2. Let z be i/3 - 169/3. Let t be -2 + 1/((-26)/z). Which is smaller: t or 0? 0 Suppose -y + 0*y + 20 = 0. Let g = 14 - y. Let w be (-5)/5*(5 + 1). Is w at least g? True Let n = -7 - 0. Let i = 7.1 + n. Let s = i - 0.1. Which is smaller: s or -5? -5 Let r be (8/(-5))/(8694/855). Let v = r - -1/69. Which is bigger: 0 or v? 0 Suppose -4*v - 16 = -8*v. Suppose -x + 0*x + 4 = 0. Suppose 0 = v*t + x. Is t < -1? False Suppose 5*v - 74 = 5*d + v, 4*d = 4*v - 56. Suppose 2*j = 10 + 12. Let y be (-2)/(d/j) - 1. Which is smaller: y or -1? -1 Let u(p) = p. Let a = -9 + 6. Let q = a + 3. Let l be u(q). Which is greater: -1 or l? l Let t = -809/3 - -266. Let h = -0.5 - -0.5. Is t equal to h? False Let p(b) = 2*b - 9. Let n be p(7). Suppose 0 = -r + 4*m + n, -r - 4*r + 57 = -4*m. Let q = r - 37/3. Is q smaller than 0? False Let x be 1/((-2)/(4 + 44)). Are -24 and x equal? True Let v(y) be the second derivative of y**5/20 - 3*y**4/4 + y**3/6 - 11*y**2/2 - 2*y. Suppose 5*a = 43 + 2. Let s be v(a). Is s < -1/2? True Let f be (-3)/5 + 94/(-10). Let h(y) = -y**2 - 10*y - 3. Let u(o) = -o**2 - 10*o - 4. Let m(v) = 4*h(v) - 3*u(v). Let q be m(f). Which is smaller: -3/5 or q? -3/5 Let g = -26 + 23. Which is bigger: -9/5 or g? -9/5 Let z = 14/17 - 8/51. Is -0.1 < z? True Let t be 14/10 + (-42)/28. Is 0 > t? True Let f be ((-6)/28)/((-27)/36). Let x = -0.13 + 0.83. Are f and x equal? False Let o = -4 - -3. Let c = 65 - 62. Let v be c + (-1)/o*-1. Which is bigger: v or 3? 3 Let t be (1/2)/((-2)/(-4)). Which is bigger: t or 2/3? t Let f = 17.2 - 14. Let x = 3 - f. Which is smaller: 1 or x? x Let v be -2 - -5 - (-2)/2. Let d be 2/(-2)*v/18. Let p = -131 - -1443/11. Which is greater: d or p? p Let y be 4 + (105/(-4))/7. Does -16/5 = y? False Let i be -3*(2 - (-55)/(-27)). Let m = 31/36 - i. Which is smaller: 1 or m? m Suppose -c - 4 + 3 = 0. Suppose -2*w + 2*y = 0, -8*w = -4*w + y - 10. Which is smaller: c or w? c Let x be (
{ "pile_set_name": "DM Mathematics" }
+ -0.004. Let v = s + 0.814. What is v rounded to 1 decimal place? 0.8 Let a(r) = 714*r - 31. Let w be a(9). Let g = -8995 + w. What is g rounded to the nearest 1000? -3000 Let a = 17.15 - 10. Let z = -7.15582 + a. What is z rounded to three dps? -0.006 Let n = -19341300495.99999863 + 19341300418. Let v = 78 + n. What is v rounded to 7 decimal places? 0.0000014 Let x = 0.043 + -0.071. Let p = x - -0.5. Round p to two decimal places. 0.47 Let c = 2 + 5. Let l = 6.29 - -0.78. Let r = c - l. Round r to one decimal place. -0.1 Let d = 1207.71 + -1274. Let j = -1.29 - d. Let u = 57.4 - j. What is u rounded to 0 decimal places? -8 Let p = -1.6918 + 0.1238. What is p rounded to 0 decimal places? -2 Suppose 0 = -2*k - 3701 + 779. Round k to the nearest one hundred. -1500 Let n be (0/(-3) - -5)*(-2 + 188). Round n to the nearest 1000. 1000 Suppose -1981147507 = -4*x + 3*k, 0 = -3*x + 5*x - k - 990573751. Let i = x + -317086867. Let j be i/33 + (-4)/22. Round j to the nearest 1000000. 5000000 Let o = -327.08904 + 327. Round o to two dps. -0.09 Let a = 0.362 + -0.362035. What is a rounded to five dps? -0.00004 Let w = -1.112 + 1.0541. Let a = w + 0.05790466. What is a rounded to 6 dps? 0.000005 Let i(z) be the first derivative of -z**4/4 - 4*z**3/3 + 4*z - 7. Let f be i(-4). Let a be (-2003)/2 - (-6)/f. Round a to the nearest 100. -1000 Suppose 2*z + 1154 = i - 1906, 5*i - z - 15327 = 0. Let q = i - -2254. Suppose -2*r = 2*r + q. Round r to the nearest one hundred. -1300 Let d(q) be the first derivative of 433*q**4/4 + 2*q**3 + 2*q**2 - 5*q + 7. Let n be d(-5). Round n to the nearest 10000. -50000 Let q = 0.01900617 - 0.019. Round q to 7 decimal places. 0.0000062 Let w = -1423.9 - -1284. What is w rounded to the nearest 10? -140 Let o(i) = -116667*i + 1. Suppose 5*v + 13 = -47. Let c be (v/18)/(2/(-9)). Let g be o(c). Round g to the nearest 100000. -400000 Let d = 6.1 - 4.52. Let o = -0.202 - d. Let l = o + 0.042. What is l rounded to one decimal place? -1.7 Let d(o) = -o**3 + 3*o**2 + 6*o - 6. Let w be d(4). Suppose 3 - 11 = -2*v. Suppose -w*g - 4*x - 70 = 0, 0*x + v*x - 94 = 2*g. Round g to the nearest ten. -40 Let j = 0.0776 + 0.3414. Let f = -0.42 + j. What is f rounded to 3 dps? -0.001 Let r = 8 - 5. Let n(m) = -112*m**3 - r*m + 14 - 2 + 9*m**2 + 4. Let y be n(11). Round y to the nearest 10000. -150000 Let j = 32.09 + -0.09. Let n = j + -28.4. Let l = n - 2.8. What is l rounded to 1 decimal place? 0.8 Suppose 5*v - 2*v - 5*l = 3, 2*l = 2*v - 2. Suppose -v = 4*t - 9. Let f be (550/3)/t*6000. Round f to the nearest one hundred thousand. 600000 Let s(h) = -425209*h**2 + 22*h + 47. Let t be s(11). What is t rounded to the nearest 1000000? -51000000 Let m = -570.9999374 - -571. Round m to 5 decimal places. 0.00006 Let j = -43352 - -43273.092. Let m = -79 - j. What is m rounded to 2 decimal places? -0.09 Let q(d) = -d**3 - 15. Let f be q(0). Let b be ((-250000)/f)/(5/540). What is b rounded to the nearest 1000000? 2000000 Let f = -28.62 - -643.02. What is f rounded to the nearest one hundred? 600 Let o = 80942833.000062 + -80942761. Let v = o - 72. Round v to five decimal places. 0.00006 Let p = -315.91 + 316. Let n = 11 + -11.058. Let f = p - n. What is f rounded to two decimal places? 0.15 Let z = 11.229742 - 8.52976. Let m = z + -2.7. Round m to five dps. -0.00002 Let g = 1282 - 2766. Let u be 0 + -4 + 2 - g/2. What is u rounded to the nearest 100? 700 Let t be ((-315)/12)/5*4. Suppose 5*q = -2*z + 64049962, 0 = -4*q - q + 3*z + 64049982. Let d be 6/21 - q/t. Round d to the nearest one hundred thousand. 600000 Let z = -482 + 601.91. Let n = 0.03 + -119.03. Let v = n + z. What is v rounded to one decimal place? 0.9 Let w = 7599.385 - 7509.38419. Let u = -209 + 119. Let h = w + u. What is h rounded to 4 decimal places? 0.0008 Let v = 0.0487562 + -0.0488. Round v to five dps. -0.00004 Let s = -1.7 - -1.689. Let g = s + 0.01100011. Round g to 7 decimal places. 0.0000001 Let n be 345/2*(-40)/12. Let o be n*(1 + (-3 - 22)). Round o to the nearest one thousand. 14000 Let s = -38 + 44. Let f be (24 - 6)/(s/500). What is f rounded to the nearest 1000? 2000 Let q = -0.23 - 19.27. What is q rounded to the nearest integer? -20 Let x = -117 + 118.82. Let u = 1.8402 - x. Round u to 3 decimal places. 0.02 Let v(d) be the first derivative of 3*d**2 - 10*d + 2*d**3 - 6 - 1/2*d**4. Let f be v(-15). Round f to the nearest one thousand. 8000 Suppose 2*q - 91 = 3*q. Let m be (q/2)/7*-2. Let d = m + -13. What is d rounded to the nearest 100000? 0 Let l = -1.72 + 14.55. Let k = 12.2 - l. Round k to one decimal place. -0.6 Let m = -0.05 - -0.2. Let o = 188193.850009 - 188194. Let f = o + m. Round f to 6 dps. 0.000009 Let a = -56.4 + 56.4004615. What is a rounded to 4 dps? 0.0005 Let r = -8093 + 2669. Round r to the nearest 100. -5400 Let l = 8400.00004129 + -8400. What is l rounded to five dps? 0.00004 Let j = 812 - 422. What is j rounded to the nearest 1000? 0 Let l = -55.80797 - -55.77. What is l rounded to three dps? -0.038 Let f be 36098/(-42)*10041 + 9/21. Round f to the nearest 1000000. -9000000 Let g = -113.4 + 113.3995307. What is g rounded to 4 decimal places? -0.0005 Let o = -1932 - -1896.14. Round o to 0 dps. -36 Suppose -110*s + 111*s = -649400. Round s to the nearest one hundred thousand. -600000 Suppose 3*t = 186 - 816. Let q = 16 - t. Suppose 0 = -2*h + q - 42. Round h to the nearest 10. 90 Let g = 78326 + -45912. Let u = g + -32389.013. Let t = -25 + u. What is t rounded to two dps? -0.01 Let p = 1031 + -1032.6025. Let a = -0.4 - 1.2. Let i = p - a. What is i rounded to three dps? -0.003 Let s = -22907.87721 + 22908. Let y = 0.124 - s. What is y rounded to 4 decimal places? 0.0012 Suppose -l + 9 = -0*l. Let h(y) = 6543*y**2 + 4*y - 10. Let g(o) = -o. Let t(n) = g(n) + h(n). Let x be t(l). Round x to the nearest 100000. 500000 Let v = 43.741 - 1.291. What is v rounded to the nearest integer? 42 Let d = -0.36 - -12.36. Let x = d - 11.99998. What is x rounded to 5 dps? 0.00002 Let k = 3.08 - 186.08. Let n = -141.4 - k. What is n rounded to the nearest 10? 40 Let a = 24 - 23. Let s = a + -1.6. What is s rounded to one decimal place? -0.6 Let s = 46347 - 46378.0132. Let i = -31 - s. What is i rounded to three decimal places? 0.013 Let t be 0 + -22214*(-1084)/(-4). Let h be t/14 + (-12)/28. What is h rounded to the nearest 100000? -400000 Let i = 0.115 - 0.1150864. Round i to five decimal places. -0.00009 Let k be (-3)/9*-3 - 1. Suppose 2*u - 107 - 29 = k. Let a = u - 170. What is a rounded to the nearest ten? -100 Let t = -3.3278204288 - -93.3278205908. Let d = t + -90. Round d to seven decimal places. 0.0000002 Let f = 3814060.8 + 734659.2. Let w = 4548748.00107 - f. Let j = 28 - w. What is j rounded to four dps? -0.0011 Suppose -4*x = 2*o + 852, x - 2091 = 5*o - 2*x. Round o to the nearest one thousand. 0 Let d be -4 + (7 - 4/(-2)). Suppose 0 = d*h + 3481 + 2019. What is h rounded to the nearest one thousand? -1000 Let r = -328 - -329.015. Let h = 0.025 - r. Let q = -0.9947 - h. What is q rounded to 3 decimal places? -0.005 Let c = -46 - -85. Let l = -39.0132 + c. What is l rounded to three dps? -0.013 Let v = 32.774 + -4.404. What is v rounded to 0 dps? 28 Let s = -0.1372517 + 0.1375. What is s rounded to five decimal places? 0.00025 Let h be (-6)/4*8/3. Let q be (h/(-8))/(3/1500000). Round q to the nearest ten thousand. 250000 Let o(x) = 21*x**3 - 9*x**2 - x + 32. Let g be o(8). What is g rounded to the nearest one thousand? 10000 Let n = 0.448 - 0.4481144. What is n rounded to six decimal places? -0.000114 Let q = 364.943 + -5.243. Round q to the nearest 10. 360 Let y = -1634451.35999976 - -1634461.36. Let p = -10 + y. Round p to seven decimal places. 0.0000002 Let x = 220188628 - 126888628. What is x rounded to the nearest 1000000? 93000000 Let f = 1 - -1. Let q = 19711695 + -19711693.0000038. Let i = q - f. Round i to six dps. -0.000004 Let z = -0.208 + -166.792. Let o = 166.999929 + z. Round o to five decimal places. -0.00007 Let f = 309903 - -49749. Let j = f - -248340. Suppose 4*d - 2*z = -j, 5*z = z - 16. What is d rounded to the nearest 10000? -150000 Let b = 170099410.10001232 - 170099424. Let y = b - -13.9. Round y to six dps. 0.000012 Let j = -0
{ "pile_set_name": "DM Mathematics" }
Let y = -76.07 + 77.4. Let k = w + y. Round k to zero decimal places. 29 Suppose -45*k + 139 = -44*k. Suppose -k*s = -160*s - 93660. What is s rounded to the nearest 100? -4500 Let g = 24968.00012749 + -24968. Round g to five decimal places. 0.00013 Let o = -1833 - -29. Let i = -1728.1 - o. Round i to the nearest ten. 80 Let r = -397 - -750. Let c = r + -349.8208. Let f = -3.2 + c. What is f rounded to three decimal places? -0.021 Let p = 0.3471 + 0.7929. What is p rounded to the nearest integer? 1 Let k = -5927 - -5927.031057. What is k rounded to three dps? 0.031 Let i = -354.52 - -354.520042298. Round i to five decimal places. 0.00004 Let q = 12470091.30999742 + -12470089. Let m = q + -2.31. Round m to seven decimal places. -0.0000026 Let v = -198 + -129. Let w = v - -361.6. Round w to the nearest ten. 30 Let w = 3495 + -3690. Let i = 14898.14968349 - 14703.149688. Let u = i + w. Round u to 6 decimal places. -0.000005 Let c = -975.09 - 11.91. Let v = -987.00000709 - c. What is v rounded to 6 decimal places? -0.000007 Let y = -490 - -494. Let j be 322/(-35)*(-370)/y. Round j to the nearest 100. 900 Suppose 5*g + 5 = 4*h, -2*g = 4*h - 39 + 13. Let w be 80*h/(-2)*-82600. What is w rounded to the nearest 1000000? 17000000 Let x = 135605 - 135604.40117. Let c = 165 - 165.6. Let v = c + x. What is v rounded to four dps? -0.0012 Let f = -446.6 + 163.4. Round f to the nearest 10. -280 Suppose 36471 = -6*l + 3855. Suppose -3*h + 267 = r, 5*r + 0*r + 5*h = 1325. Let y = r - l. What is y rounded to the nearest one thousand? 6000 Let n(l) = 11*l**2 - 6*l - 33. Suppose 279 = -9*v - 22*v. Let q be n(v). What is q rounded to the nearest 10? 910 Let v = 51269 + -51297.749. Let j = v - -0.349. Let y = 22 + j. Round y to the nearest integer. -6 Let g = 259361121 + -259361121.559001395. Let h = -0.559 - g. Round h to 7 decimal places. 0.0000014 Let u be (-50108)/(1 + -2) - (-218)/109. Round u to the nearest one thousand. 50000 Let a be (-7 - -6) + -4 - -10. Suppose -5*y = a, 3*y - 12411 - 22186 = 2*w. What is w rounded to the nearest ten thousand? -20000 Let b = 19.249 + 0.151. Let a = 82.8 - b. Round a to the nearest 10. 60 Let r = -58.025 - -58. Let l = r + 0.024974. Round l to 5 decimal places. -0.00003 Let c = -80274 - -75743.1. What is c rounded to the nearest 100? -4500 Let l = 3429.2248 + 253.8692. Let j = -3687 + l. Let b = j + 0.006. Round b to the nearest integer. -4 Let k = 0.0136 - 0.2406. Let x = k + 0.02. What is x rounded to 1 decimal place? -0.2 Suppose -42*s + 4478850 = -14*s + 17*s. What is s rounded to the nearest 100000? 100000 Let j = -1902.8 + 2445.3. Round j to the nearest 100. 500 Let p(u) = -17*u**2 + 70*u + 315. Let v be p(-65). Round v to the nearest 10000. -80000 Let x(q) = 190 + 3268*q - 356 - 431*q + 186 + 1103*q. Let b = -3 - 10. Let u be x(b). What is u rounded to the nearest ten thousand? -50000 Let h(l) = 56*l**2 + 3*l - 17. Let s(c) = c**2 - 2*c - 3. Let w be s(4). Let d be h(w). Let n be (d/(-5))/((33/250)/11). What is n rounded to the nearest 1000? -23000 Let w = -7606105 - -11053094. Suppose -5*q - 5260000 = 2*o, 5*q + w + 1813011 = -4*o. Round q to the nearest one hundred thousand. -1100000 Suppose 0 = -z - 4*o + 8, 3*o + o + 88 = 5*z. Let s = z + 0. Suppose -s*h = 29024 + 54656. Round h to the nearest one hundred. -5200 Let y = 2285 + -2097.74. Let f = y + 1.14. Round f to the nearest 10. 190 Let i(y) = 1825898*y - 286. Let c be i(7). What is c rounded to the nearest one million? 13000000 Let u = 1.08453 - 1.0793231. Round u to three decimal places. 0.005 Let l be (-10)/(-3)*18/(-5). Let b = l - -12. Suppose b = 6*o - 46710 + 153510. Round o to the nearest 10000. -20000 Let n = -23720.2882969 + 23720.3. Round n to three dps. 0.012 Let c = -7.66 + 336.66. Let r = -329.0181 + c. Round r to three dps. -0.018 Suppose -3*n - 20 = -2*t, 4*n + 0 = -t - 1. Suppose -t*d = 2*d + 13083795. Let a = d - -4953755. Round a to the nearest one million. 4000000 Let u(a) = 1307396*a**2 - 20*a + 336. Let v be u(13). Round v to the nearest 1000000. 221000000 Let n = 36155249 - 36155253.00000252. Let p = n + 4. Round p to six dps. -0.000003 Let k(z) = 2*z**3 + 3*z + 4. Let v be k(-1). Let c be (-4 + 14)/(v/(-10267)). Suppose 0 = -2*s - 50730 - c. What is s rounded to the nearest ten thousand? -80000 Let r = 142.195998255 - 0.795997604. Let m = r - 141.4. Round m to 7 dps. 0.0000007 Suppose x + 31*x = 561760. Let s = x - -1675. Round s to the nearest one thousand. 19000 Let l = 4512.2654 + -4513. Let j = 0.0056 + l. What is j rounded to 1 decimal place? -0.7 Let b = 0.15196 + -0.151962274. Round b to seven decimal places. -0.0000023 Let u = -203732 + 22353899. Suppose 0 = 7*c - 17609833 - u. What is c rounded to the nearest one million? 6000000 Let w(i) = -2434*i**3 + 8*i**2 - 11*i - 12. Let g be w(6). Let z(a) = 117234*a - 2. Let d be z(2). Let k = d - g. Round k to the nearest 1000000. 1000000 Let w = 326.3403633 + -326.34. What is w rounded to five decimal places? 0.00036 Let f = 0.31 + 39.69. Let p = f + -27. Let u = p + -12.982. What is u rounded to 2 decimal places? 0.02 Let m be 7 + -18 + 2772015 - (-1 - -5). What is m rounded to the nearest one hundred thousand? 2800000 Let d = -45.4609977799 + 45.461. Round d to 7 decimal places. 0.0000022 Let l = 129.845 - 130. Let f = 0.2391 + l. What is f rounded to 3 decimal places? 0.084 Let o = 107 + -276. Let h = 521 - 674.1. Let j = o - h. What is j rounded to the nearest integer? -16 Let y = -171 + 170.9351. Let i = -357.0649 - y. Let n = i + 356.9999599. Round n to six dps. -0.00004 Let d = -7616.0374 - -7606. Round d to the nearest integer. -10 Let g be (-97071 - 8 - (-70)/10)*(1 + -626). Round g to the nearest one million. 61000000 Suppose 3777851 = -22*t - 3985949. What is t rounded to the nearest ten thousand? -350000 Let r = 3.86 - 4.5. Let h = -1.9 + r. What is h rounded to the nearest integer? -3 Let j = 0.361 - 0.201. Let t = j - 0.160065. What is t rounded to 4 dps? -0.0001 Let g = -391 + 220. Let p = g - -171.00083. What is p rounded to four decimal places? 0.0008 Let z = -61 - -248. Let k = 186.999536 - z. What is k rounded to four dps? -0.0005 Let q = -96 + 95.03. Let c = 37.2 + -22.03. Let z = q + c. What is z rounded to the nearest integer? 14 Suppose 0 = -3*b - 3*s + 130230, 32*b - 34*b = -3*s - 86820. Round b to the nearest 1000. 43000 Let k = -186000 + 169646.14. Let c = -16487 - k. Let i = -135 - c. What is i rounded to one decimal place? -1.9 Let v = -9357656 + 15703656. What is v rounded to the nearest 1000000? 6000000 Let x = -3220201880 - -3220201921.00000011. Let t = -76 + 35. Let f = x + t. What is f rounded to 7 decimal places? 0.0000001 Let a = -2523833034.29999063 - -2523833007. Let t = a + 27.3. Round t to six dps. 0.000009 Let k = 3.58 - -56.22. Let o = k + 10.9. What is o rounded to zero decimal places? 71 Let n = -322.7 + 332.96. What is n rounded to the nearest ten? 10 Let o = -3217.000001404 - -3217. Round o to six decimal places. -0.000001 Let c(t) = 428*t**2 - 2*t - 10. Let g(a) = -7*a - 6*a + 24*a - 39 - 13*a. Let d be g(-17). Let j be c(d). What is j rounded to the nearest one thousand? 11000 Let u = -224.4143809 - -0.4340809. Let h = -224 - u. What is h rounded to 2 dps? -0.02 Let i = -66 - -72. Suppose i*p - 19495 = 5495. Suppose p = 3*r + j - 124835, 2*r = -3*j + 86000. What is r rounded to the nearest 100000? 0 Let o = -6639982 + 1050882. What is o rounded to the nearest 100000? -5600000 Let n = 3460.992288 + -3461. Round n to 3 decimal places. -0.008 Let i = -0.281 + -279.719. Let o = 279.99797 + i. What is o rounded to four decimal places? -0.002 Let w = -4.20432 + 4.20432192539. Round w to 7 dps. 0.0000019 Let o(j) = 31312*j**2 - 14*j - 42. Let s be o(-4). Let d = 1234006 - s. What is d rounded to the nearest 100000? 700000 Let s = -16 + -28. Let j = s + 43.9192. Let r = 0.084 + j. What is r rounded to 2 dps? 0 Let o be (1 + 1114)*(-488 + 54). What is o rounded to the nearest 10000? -480000 Let q = -4.161 - -0.341. Let m = q - 73.68. Let k = m + 77.117. What is k rounded to 2 dps? -0.38 Let g = 2603.12 - -9.88. Let a = 2609.027 - g. Round a to 1 decimal place. -4 Let u = -362.931 - -363. Let y = 0.3969028 - 0.32788. Let i = y - u. What is i r
{ "pile_set_name": "DM Mathematics" }