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d (3*u**3 - 3*u**3 - u**3)*(2*u - 1 + 1 - u - 1 + 1 + (5 - 5 + 2)*(-2*u + 2*u - 2*u) + 3*u - 2*u - 4*u)*(3 + 2 + 1)*(-1 + 5 + 0). 144*u**4 Expand -72*s**4 - 88*s**4 + 69*s**4 + (-4*s**4 + 5*s - 5*s)*(0 - 1 + 0). -87*s**4 Expand -2*y + 2 - 2 + (0 + 1 - 3)*(-5*y + 4*y + 3*y) - 1 + 1 + y + 10330 + y - 10353 - 5*y. -9*y - 23 Expand -7*s**5 - 2*s - 1195*s**4 + 1195*s**4 + (-3*s**2 + 3*s**4 + 3*s**2)*(-12 + 10*s + 12). 23*s**5 - 2*s Expand ((-2 + 3 - 3)*(-2*w**3 + 0*w + 0*w) + 2*w**3 - 2 + 2)*(-2 + w - 6*w + w). -24*w**4 - 12*w**3 Expand (-2 + 2 - 3*f)*(f**2 - 2*f**2 - 2*f**2) + 14*f - 10*f**3 - 8*f**3 + 17*f**3. 8*f**3 + 14*f Expand (4*z - 3*z + 0*z)*(-z**4 + 0*z**4 - z**4) + 109*z**4 + 23*z**5 - 109*z**4. 21*z**5 Expand (6 + 2*r - 6)*(31 - 39 - 537*r + 8). -1074*r**2 Expand (5*v - 2*v - v + 0*v - 2*v + 0*v + (v + 0*v + v)*(2 - 2 - 1))*(4*v**4 - v**4 + v**4). -8*v**5 Expand 0 - 2*b**4 + 0 + (-21*b**4 + 5*b**4 - 19*b**4)*(-4 + 0 + 0). 138*b**4 Expand (2*w - w + 2*w)*(-3*w**2 + w**2 + 0*w**2 + (0 + 2*w + 0)*(2*w + 0 + 0)) + (2*w**2 - 3*w**2 - w**2)*(-10*w + 3*w - 12*w). 44*w**3 Expand (-3 - 4 - 8*l**2 + 6)*(-4 - 2*l**3 + 4) + (3*l**3 - 3*l**3 + 2*l**3)*(-3*l**2 - l**2 - 3*l**2) + 5*l**5 - 3*l**5 + l**5. 5*l**5 + 2*l**3 Expand -4*x - x + x + (-2 + 0 + 0)*(5*x - x - 5*x) - 3*x - x + x + (x + 4*x - 3*x)*(1 + 0 + 2). x Expand 3*n**4 - 2*n**4 + 2*n**4 + (5*n - n - 3*n)*(-n**3 + n**3 + n**3) - n**4 + n**4 - 2*n**4 + (-3 + 3 + 2*n**2)*(4*n**2 - 2*n**2 + 0*n**2) + 1 + n**4 - 1. 7*n**4 Expand (0 - 2 + 3)*(3*o**2 - 2*o**2 - 2*o**2)*((-3 + 1 + 0)*(3 - 3 - 3*o) - 30*o + 21 - 21). 24*o**3 Expand 26*p**2 + 4*p**4 - 26*p**2 + (-29*p + 50*p - 24*p)*(-2*p**3 - 4*p**3 + 4*p**3). 10*p**4 Expand (2*r**4 + r**4 - 2*r**4)*(166 + 138 + 161). 465*r**4 Expand h**5 + h**5 - 4*h**5 - h**5 - 3*h**5 + 2*h**5 + (-h**2 + 3 - 3)*(2*h**3 - 4*h + 4*h) - 975 + 975 + 83*h**5. 77*h**5 Expand o**2 - o**2 + 2*o**3 + (-4 + 4 + 1)*(2*o**3 + 4*o - 4*o) - 2 + 2 + o**3 - o**3 - o + o + 201 + 0*o**3 + 25 - 5*o**3 + 3*o**3. 2*o**3 + 226 Expand (10*g**3 - 581 + 2*g**2 + 581)*(0 - 9 - 2). -110*g**3 - 22*g**2 Expand (f - f + 2*f**2)*(430*f - 2009 + 448*f + 2009). 1756*f**3 Expand (4*o - o - 2*o)*(-67 + 144 - 68). 9*o Expand 71*o - 148*o - 81*o + 3*o + o - 5*o + (-2 + 0 + 0)*(-2*o + 1 - 1) + 0*o + 0*o + 2*o. -153*o Expand (8*l - 10*l + 4*l + 8*l**3)*(0*l + 0*l + 2*l + (l - l + 3*l)*(3 - 4 + 4)). 88*l**4 + 22*l**2 Expand (-4*o - 12 + 12)*(-19 - 2*o - 15 + 35). 8*o**2 - 4*o Expand (1 - 1 + 3*n)*(5*n - 5*n + 5*n)*(3*n - 2*n + n)*(-2 - 2 + 3). -30*n**3 Expand (7*a**3 + a**3 - 2*a**3)*(7 - 3 + 2)*(3 + 0 - 1) + 4*a**3 - 6*a + 6*a. 76*a**3 Expand -73*j**5 + j**2 + 1667*j**4 - 1667*j**4 + (0*j**3 + 0*j**3 - j**3)*(-3*j**2 + 3*j**2 + 2*j**2). -75*j**5 + j**2 Expand (-5*l + 5*l - 4*l**2)*(-5*l + 0 + 0) - 3*l**3 + 5*l**3 + 0*l**3 + 4*l**3 + 2*l - 5*l**3 + 2*l**3. 23*l**3 + 2*l Expand (-2*h - 17*h**3 - 30*h**3 - 11*h**3)*(2*h - 4*h + 3*h). -58*h**4 - 2*h**2 Expand (6*q - 2*q - 2*q)*(-4*q + 2*q + 3*q) + q**2 + 0*q**2 - 2*q**2 + (q + 10*q - 2*q)*(-5*q + q + 2*q)*(1 - 1 - 3). 55*q**2 Expand -27*v - 32*v**2 + 27*v + (4*v + 0*v - 2*v)*(-2*v - 3*v + 3*v). -36*v**2 Expand 2*x**4 - 2*x**4 - x**4 + (101*x**4 + 150*x**4 - 165*x**4)*(1 - 4 + 0) + 2*x**4 + 0*x**4 - 3*x**4. -260*x**4 Expand (0 - 1 + 3)*(22 - 23*c - 22). -46*c Expand ((4 + 4 + 4)*(2 + 2*c - 2) - 2*c + 0*c + c)*(-1417 + 1417 - 105*c**2). -2415*c**3 Expand (-45 + 16 + 31 + 7*x)*(-x - 2*x + 2*x). -7*x**2 - 2*x Expand (0*v - 21*v - 6*v + 4*v)*(-v - 5*v - 4*v). 230*v**2 Expand (-4 + 0 + 3)*(1 - 2*b - 1) + 84*b - 102*b - 247*b + (0*b + 3*b - 4*b)*(2 - 1 - 3) - b - 2 + 2. -262*b Expand (-132*y - 127*y - 50*y)*(0 - 1 + 3). -618*y Expand (-34 + 146*v - 73*v - 74*v)*(2 + v**3 - 2). -v**4 - 34*v**3 Expand (6 - 8 + 3)*(5 + 21 + 4)*(1 + 5 - 4)*(3*k**2 - k**2 - 3*k**2). -60*k**2 Expand (0*h + 2*h + 3*h)*(-5*h**3 + h**2 - h**2) + 3 + 22*h**4 - 3. -3*h**4 Expand (4 - 4 + 2)*(-2 + u**2 + 0 + u**2)*(8*u + 59*u + 10*u) - 3*u**3 + 3*u**3 - 2*u**3. 306*u**3 - 308*u Expand (4 - 6 - 4)*(-81*u**2 + 33*u**2 + 239*u**2). -1146*u**2 Expand -306 + 544 - 414 - o**2 + (-2*o + 3*o + o)*(-o + 2 - 2) - o**2 - 2*o**2 + 4*o**2. -2*o**2 - 176 Expand -4*h + 4*h + h**2 + (2*h - 2*h + h)*(2*h + 0*h + 3*h) + (1 - 1 + 4*h)*(0*h + h - 3*h). -2*h**2 Expand (3 + 4 - 4)*(9*w + 151 - 151 + (4*w + 2*w - 4*w)*(0 - 3 + 2)). 21*w Expand (-2*s**3 - 3*s**3 + 6*s**3)*(-102*s - 2*s**2 + 102*s + (0*s + 3*s + 0*s)*(3*s - 2*s - 2*s)). -5*s**5 Expand (-5*w**2 + w**2 - 4*w**2)*(-5*w**3 + 4*w**3 + 3*w**3) + (6*w - 4*w - w)*(0 + 0 - 2*w**4) - w**5 + 3*w**3 - 3*w**3. -19*w**5 Expand (-30 + 61 - 53)*(-2 + 2*s**2 + 0 + 3). -44*s**2 - 22 Expand (-x**3 + 2*x**2 - 2*x**2)*(-3289 - 3646 + 6458)*(-6*x - 1 + 2*x + 3*x). -477*x**4 - 477*x**3 Expand (-2*b + b + 2*b)*(-3*b**4 + 2*b**4 - b**4) + (4*b**2 - 4*b**2 - 3*b**3)*(15 - 15 - 7*b**2). 19*b**5 Expand 2*w - 1 + 1 + (-2 + 2*w + 2)*(-36 - 4 + 11) + 2*w + 0 + 0 + w + 2*w - w + 0*w + 2*w - w. -51*w Expand 2*q**2 - 4*q**2 - 7*q**2 + (q**2 + q - q)*(-3 + 2 + 8). -2*q**2 Expand 3*c**3 + c - c + (2*c - 3*c + 0*c)*(-6*c**2 + c**2 + 2*c**2) + (0*c - 4*c - 2*c)*(4*c**2 + 5*c**2 - 6*c**2). -12*c**3 Expand (-1 + 1 - 1)*(5*q - 4*q - 3*q)*(-22 - 9 - 56). -174*q Expand (-68*i - 16*i**3 + 68*i)*(4*i**2 + 4*i**2 + 32*i**2). -640*i**5 Expand (o - o - 3*o**4)*(0 - 2 + 3) + o**3 - o**3 + o**4 - 2*o - 33*o**4 + 4*o - 2*o. -35*o**4 Expand (0 - 1 + 0)*(-4*p**2 + 6*p**2 - p**2)*(6 + 75 - 11)*(2 - 2 - p). 70*p**3 Expand ((5 - 4 + 1)*(0 + 0 - 2*l) + 2 - l - 2 + 2*l + 0*l - 3*l - 888 + 888 + 19*l)*(3*l - 5*l + l + (4 - 4 + 1)*(-l + 4*l - 4*l)). -26*l**2 Expand (-3 + 3 + 2*c)*(0 + 0 + 2*c**2) - 2*c**2 - 7*c**2 + 12*c**2 - 9*c**3 + c**3 + 0*c**3 - 4*c**3 + (4*c + 2*c**3 - 4*c)*(-1 - 1 + 1). -10*c**3 + 3*c**2 Expand (-u**3 - u**2 + u**2)*(-2*u + 0*u + u) + 3*u**4 + 3*u**4 - 3*u**4 + (u**3 - u**3 - 2*u**4)*(-2 + 1 + 0) + (3*u - 3*u - u)*(-11*u**3 + 350*u - 350*u). 17*u**4 Expand -2*o**3 - 2*o**3 - 2 + 0 + (-2*o + 2 - 2)*(-2*o**2 + 3*o**2 - 5*o**2). 4*o**3 - 2 Expand (5*a**4 + a**4 - 4*a**4)*(10 + 29*a - 35*a - 3). -12*a**5 + 14*a**4 Expand (-3 - a + 1 - 2*a + (a - 3*a + 3*a + (-a + 2*a + 2*a)*(6 - 1 + 0))*(1 - 4 + 5))*(1 - 2*a - 1). -58*a**2 + 4*a Expand (1 - 7 - 5)*(-2*k - k + 6*k) + k + 3*k - 6*k - 2*k + 0*k + 4*k. -33*k Expand (-2 + 26*r**2 - 26*r**2 + 3*r**3 - 2*r)*(-6*r**2 + 2*r**2 + 3*r**2) + 2 - 2 - r**5. -4*r**5 + 2*r**3 + 2*r**2 Expand -2*f**2 + f**2 - 2*f**2 + (f - 4*f - f)*(-5 - 2*f + 5) - 6*f**2 + 4*f**2 + 4*f**2. 7*f**2 Expand 2*v**3 + v**2 - v**2 + 4*v**3 - 2*v + 2*v - 9*v**3 - 18*v**3 - 16*v**3 + (1 - 3 + 4)*(-v**3 + 1 - 1). -39*v**3 Expand (2*b**2 - 2*b**2 - 2*b**4)*(-b - b + 3*b) + 0*b**5 - b**5 + 3*b**5 + (-8 + 7 - 2)*(3*b**5 + 0*b**5 - 7*b**5) + 2*b**5 + 3*b**4 - 3*b**4. 14*b**5 Expand ((1 - 2 + 2)*(3 - 4 + 3) - 4 + 2 + 1 + (-2 + 5 - 2)*(-2 - 2 + 1))*(8*d + 2*d - 8*d**4 + 5*d**4). 6*d**4 - 20*d Expand (2*j - j + 3*j)*(1 + 0 + 2 + 17). 80*j Expand (-2*u - u + u)*((3 - 3 - u)*(-u - 2*u + 4*u) + 2*u**2 + 2*u - 2*u - 2*u + 2*u - 2*u**2 - 58*u**2 + 297*u**2 - 49*u**2) + u**3 - 4*u**2 + 4*u**2. -377*u**3 Expand ((3 + v - 3)*(1 - 2 - 1) + (0*v + 2*v - v)*(0 + 4 - 6))*(4*v + 2*v - 33*v). 108*v**2 Expand (-340*o + 340*o - 711*o**2)*((5 - 6 + 2)*(0*o - o + 0*o)*(-2 + 3 - 2) - o + 2*o - 3*o). 711*o**3 Expand 48*h**3 - 37*h**5 - 48*h**3 - 101*h**5 + (-4*h**5 - 2*h**5 + 5*h**5)*(4 + 0 - 3). -139*h**5 Expand (2*u - 1 + 1)*(-u - 30*u - 2*u**2 + 242*u). -4*u**3 + 422*u**2 Expand (-42*d**2 + 28*d**2 + 48*d**2)*(0 - 2*d + 0) - 2 + 2*d**3 + 2. -66*d**3 Expand (2*d**2 - 2*d - 17 + 2*d)*(3 - 5 + 0)*(-d - 3*d + 2*d)*(d - d + 12*d**2). 96*d**5 - 816*d**3 Expand 15 - g**5 + 16*g**5 - 10 + (1 - 1 - 2*g)*(-2*g**4 - g**3 + g**3). 19*g**5 + 5 Expand (-54*n**3 + 74*n**3 + 56*n**3)*(-4*n + 4*n - n)*(-6*n + 5*n + 5*n). -304*n**5 Expand (397 + 15*r + 85 + 11*r - 29*r)*(-2*r**2 + 3*r**2 + r**2). -6*r**3 + 964*r**2 Expand (4*s**3 + 2*s**4 + 4*s**3 - 3*s**3)*(-3*s - 2*s + 2*s) + 38*s**3 - s**5 - 38*s**3. -7*s**5 - 15*s**4 Expand (-4*g**3 + 2*g**3 + g**3)*(2*g + 8*g - 3*g) - 4 + 4 + g**4 + 10*g**4 + 232 - 232. 4*g**4 Expand (-1 - 3 - 2)*(19 - 40*u + 6 + 38*u). 12*u - 150 Expand -2*s - s**2 + 2*s + (-2*s + 2*s + 3*s)*(1
{ "pile_set_name": "DM Mathematics" }
e -42*j = r*j + 98 for j. -2 Suppose 3*t - 115 = -5*v, -2*v - 3*t + 39 = -16. Suppose 2*g + s - 4 = 0, 3*g - s - s = v. Solve -3*y = -4*y + g for y. 4 Let h = 631 + -530. Solve -13*u - 36 = -h for u. 5 Suppose -2 + 4 = q. Let d be ((-32)/(-40))/((-18)/20 - -1). Suppose d + 20 = 7*z. Solve -q*k + z + 0 = 0 for k. 2 Let f(r) = 0*r + 2*r + 0*r**3 - 21 + r**3 - 15*r**2. Let u be f(15). Let w = -5 + u. Solve -m - w*m = 10 for m. -2 Let x(t) = 21*t - 180. Let l be x(34). Let k = 539 - l. Solve b - 6*b - k = 0 for b. -1 Suppose 9*u - 360 + 333 = 0. Solve -11 = -u*s - 2 for s. 3 Let q = 3964 - 3951. Solve 0 = -q*k + 41 + 24 for k. 5 Let w(c) = -2*c**3 + 808*c + 63*c**2 - 421*c - 417*c - 30. Let s be w(31). Solve 4*q = s - 9 for q. -2 Suppose 43 - 7 = 9*m. Suppose -20*h = -m*h - 64. Solve 2 = -h*v + 3*v for v. -2 Suppose 2*g - 2 = 0, 108*j = 106*j - 3*g + 15. Solve -j = 24*o - 26*o for o. 3 Let v(a) = 140*a**3 - 2*a**2 + 3*a - 2. Let s be v(1). Let j = s - 135. Solve j*k - 6 = 6 for k. 3 Let g(u) = -63 - 67 + u + 146. Let r be (-120)/14 + (-6)/14. Let q be g(r). Solve q*y - 20 = 2*y for y. 4 Let z(q) = 12*q - 13. Let s be z(2). Suppose -s = -5*x - 4*g - 77, 0 = -2*x - g - 27. Let n be x/(-2) + -3 + -4. Solve n*p + 15 = 5*p for p. 3 Let r(x) = x + 13. Let t = 55 + -52. Let f(g) = -g - 7. Let j be f(t). Let o be r(j). Solve i = -o*i + 20 for i. 5 Suppose 4010 + 2374 = 91*m + 23*m. Solve m*z + 161 = -175 for z. -6 Let s(l) = 6*l**3 + 10*l**2 + 4*l - 2. Let n(z) = -5*z**3 - 10*z**2 - 5*z + 2. Let w(i) = 5*n(i) + 4*s(i). Let y be w(-9). Solve 8 + y = -5*j for j. -2 Suppose -12*v = 6 - 66. Suppose -v - 2 = q + 4*w, 4*w = -4*q + 8. Solve -q*d + 15 = -2*d for d. 5 Suppose 5*n = 35, 286*s - 291*s + n = -368. Solve -s*t - 4 = -71*t for t. -1 Let c be ((15 - 32) + 18)*22*1. Solve 59*v - 74 = c*v for v. 2 Suppose 386 = 9*h - 73. Let x = h - 51. Solve 12 + x = -4*f for f. -3 Let y(s) = 2*s + 3. Let w be y(0). Let q(g) = -3*g - 11. Let z be q(-5). Suppose 20 = n + 4*n. Solve -z*h = -w*h + n for h. -4 Let k be (-7)/(70/(-75))*(-720)/(-108). Solve k*z + 63 = 363 for z. 6 Let u = -4746 - -4789. Solve u*y + 275 = -26 for y. -7 Let q(r) = r**3 + 21*r**2 - 22*r + 13. Let h(o) = 2*o**2 - 59*o + 7. Let g be h(29). Let w be q(g). Solve -12 = 5*c + w for c. -5 Suppose -m + 243 = 3*h, -m - 152 = 391*h - 393*h. Solve -24 = -h*r + 85*r for r. -4 Suppose 0 = 170*j + 2187 - 6097. Solve -41*h + 384 = j*h for h. 6 Let c(d) = -d**2 + 71*d - 1009. Let q be c(51). Solve q*y - 44 + 0 = 0 for y. 4 Let v be 10 + (-10 + 7 - -83). Solve v = 29*g - 26 for g. 4 Let t be (-986)/(-22) + ((-6)/11)/(-3). Suppose t*w = 47*w + 2. Let b be (1 + w)/(2 - 4). Solve b = x + 3*x for x. 0 Let x be ((-196)/294*(-27)/(-4))/(3/(-4)). Suppose -2*y - u = -1 - 0, 4*y = -4*u + 4. Suppose x*a = -y*a + 258. Solve -a + 18 = 5*z for z. -5 Suppose 6*c + 104 = 32*c. Let d(q) = -2*q**2 + 6*q + 10. Let k be d(c). Solve 4 = k*r - 0*r for r. 2 Let j be (-494)/39*(-444)/703. Solve -184 = -j*i - 232 for i. -6 Suppose 4*i - 4*r = 824, 0 = -5*i - r - 3*r + 1021. Suppose 14*a = -27*a + i. Solve -9*b - 12 = -a*b for b. -3 Let q = 2850 + -2828. Solve q*f = 32*f for f. 0 Let m = -63 + 64. Let p be (-12*m/5)/(3/(-15)). Let d be (p + -4)*(2 - (-21)/(-12)). Solve -d*r = 3*r + 25 for r. -5 Suppose -4288 = -679*g + 7496 + 71733. Solve g = 23*m + 215 for m. -4 Let o(n) = 10*n**2 + n - 2. Let g be o(-2). Solve -38*h = -44*h - g for h. -6 Let l(s) be the second derivative of -s**4/12 + 5*s**3/6 + 31*s**2/2 + 45*s + 1. Let a be l(-3). Solve a + 21 = 7*k for k. 4 Let r be ((-96)/224)/((-12)/308). Solve r*p = -0*p for p. 0 Suppose 3*g + 3*y + 6 = 2*g, 18 = -3*g - 2*y. Let s(u) = -u**2 - 8*u - 10. Let b be s(g). Let p be (-4)/(2 + -7 - (-6)/b). Solve -p*t + t = -2 for t. 2 Suppose 0 = -3*i - 264 - 48. Let v = 108 + i. Let y = 1 + v. Solve 3 = -y*m - 2 for m. -1 Let y be 5544/14 - -1 - 21. Solve -380 = -2*a - y for a. 2 Let v = -8756 + 8791. Solve -v*y + 25 = -30*y for y. 5 Let h(l) = 4*l**3 - 6*l**2 + 11*l - 12. Let m be h(4). Let f = m + -189. Solve v + f*v = 0 for v. 0 Let s(j) = -64*j - 192. Let w be s(-3). Let a = 7 + 6. Solve -4*b + a - 1 = w for b. 3 Suppose 0 = -40*q + 38*q + 12. Let c be (-2)/q*(-3504)/16. Let w be 73 - c - 0/(-1 + 2). Solve w*x = 3*x for x. 0 Let z(a) = -10 - 11*a**3 + 0*a + 6*a**2 + 12*a**3 - 13*a + a. Let u be (6/(-4))/((-9)/(-42)). Let d be z(u). Solve -d = k + 4*k for k. -5 Suppose 4*d - 163 = -14*d + 251. Solve -13*c = -d*c + 16*c for c. 0 Suppose -4*h = -14*l + 15*l + 16, 0 = l - 4*h - 24. Solve -4*d - l*d = -24 for d. 3 Suppose -22*m - 6500 = -72*m. Solve 0 = 126*v - m*v + 8 for v. 2 Let s = 33677 - 33673. Solve 84 = s*w - 32*w for w. -3 Let t(j) = -2*j**3 - 67*j**2 - 30*j + 134. Let v be t(-33). Solve 0 = v*x - 9 - 61 for x. 2 Let h be -2 + (-7 - -14) + -2. Let q be (-56)/(-70)*(h - 2/4). Solve -13 = q*k - 23 for k. 5 Let q = -251 - -254. Let v(j) = -5*j - 22. Let r be v(-7). Suppose 2*c + 4 = 5*l - 0*c, l + r = 5*c. Solve -5 - q = l*w for w. -4 Suppose 5*n - 44 = -t, 839*n - 841*n + 2 = 0. Solve 21 = 10*p - t for p. 6 Suppose -4*n = o + 360, 3*n + 1044 = 2*o - 5*o. Let p = 350 + o. Solve -b = -4*b + p for b. 2 Let o = 28 + 101. Suppose d = -o + 130. Solve 3*l = d - 13 for l. -4 Suppose 78*b = 93 + 1682 + 955. Solve -22*g = -15*g - b for g. 5 Let h = 156 + -117. Suppose 5*c = h + 1. Solve -7 - c = 3*u for u. -5 Let n(u) = u**3 + 16*u**2 + 35*u + 565. Let z be n(-16). Solve -z*h = 14*h for h. 0 Let m = 2952 - 2919. Solve m*a - 67 = -1 for a. 2 Suppose -q + 10 = 5, 2*j + 2*q = 14. Suppose -5*s + 28 = 4*n - 2*n, j*s = -4*n + 24. Solve -5*a - 2 = -s*a for a. -2 Let a be 2/(-6) + 33/(-9) + 0. Let n be ((-1)/(-2))/(13/26) - a. Solve -n = 9*f - 14*f for f. 1 Let o be (-2)/((-4)/6) + -1. Let y = 64520 - 64520. Solve -2*t + o = -y for t. 1 Let g be (21/4)/((-728)/(-12480)). Solve 31*p = 65 + g for p. 5 Suppose 10 = r + 4*r. Let u be (36 + -6)*r/4. Solve 4*p = u - 27 for p. -3 Let f(o) = 41*o**2 + 473*o + 475. Let q be f(-1). Solve -q*w + 142 = 13 for w. 3 Let w be 2/8 - (-121)/(-484). Let m be (-2 - 0) + 2 - -5. Suppose -3*v + m*k + 5 + 0 = w, v - k = 1. Solve -5*r = -v*r + 20 for r. -4 Suppose -21 = 3*n - 6*n. Suppose -5*u + n = -l + 5*l, 3*l + 12 = 2*u. Suppose 0*x = -u*x + 12. Solve 0 = h + h + x for h. -2 Let v(c) be the second derivative of c**4/6 - 13*c**3/6 + 15*c**2/2 - 3473*c. Let d be 2 + 0 - (-3)/1. Let r be v(d). Solve r = -2*o - 2 - 2 for o. -2 Suppose -185*x + 192*x = 91. Suppose 5*d + x = 5*v - 17, 0 = -4*v - d + 14. Solve v*g = g - 6 for g. -2 Let d(f) = 7*f**2 - 429*f + 1295. Let i be d(3). Solve 32*x - 57 - i = 0 for x. 4 Let f(u) = -72*u + 116. Let b be f(12). Let g = b + 751. Solve -g*m + 27 = 42 for m. -5 Let x be 46/(-322) + 29*1*5/35. Solve 5 = -x*b - 11 for b. -4 Let c be (-1 - 316/20)/(1/(-15)). Solve 0 = 245*m - c*m - 28 for m. -4 Let h = 301 - 105. Let z = -190 + h. Solve -7*t + z = 27 for t. -3 Let g(y) = y**2 - 21*y + 40. Let w be g(19). Suppose -2*b = w*l + 6, l + 2*l = -b + 1. Solve -3*v - l*v - 15 = 0 for v. -3 Suppose t - 4*t = -4*m - 324, 5*t = -5*m + 505. Suppose -7*f = f - t. Suppose 4 - f = -3*i. Solve -3 = i*s + 12 for s. -5 Let y = -218 + 200. Let t be y/(-8) + (-11)/44. Solve -3*v + t = 5 for v. -1 Suppose -3*c + 211 = 4*p, 4*c + 305*p - 340 = 307*p. Solve -53*i + c - 187 = 0 for i. -2 Let y be 2/(-20) - (17668/(-280) + 5). Solve 69*z - y*z - 22 = 0 for z. 2 Let l be (1 - 3/3)/(-301 - -305). Solve -2*p + 40 - 54 = l for p. -7 Let k = 4907 + -4890. Solve 17 = k*m - 17 for m. 2 Let n = -9 - -3. Let v be n/(-3)*1 + -21. Let t = -15 - v. Solve 0 = -t*l + 3*l + 1 for l. 1 Let d = -174 - -207. Suppose 5 = -f, -2*t - 65*f + d = -68*f. Solve -8*b - t = -5*b for b. -3 Let l = 3 - -2. Let i(x) be the third derivative of -x**6/120 + 7*x**5/60 - 36*x**2 + 1. Let b be i(2). Solve l*p - b = p for p. 5 Let g = 102 - 100. Suppose 3*w - o + 1 = 2*w, 0 = -w - 2*o + 14. Let j = w + 2. Solve -4*l + j = -g*l for l. 3 Let z be (1/((-1)/3))/1. Let m be (0*(-1)/z)/2. Suppose -k + 4 = m, -c + 10 = 2*k - 0. Solve -c = -3*s - 17 for s. -5 Let x be (0 + 96/112)*(-7)/(-3) + 92. Solve 87*y = x*y for y. 0 Let y(x) = -2*x**2. Let k be y(-2). Suppose -4*p - 2*u - 34 = 0, -3*p - u = -8*p - 46. Let j = k -
{ "pile_set_name": "DM Mathematics" }
ler than m? False Suppose 0*c = -2*c + 2*z - 136, -3*c = 3*z + 228. Let p be (-3)/(-2)*(-32)/c. Let l(y) = y + 6. Let g be l(-6). Are g and p unequal? True Let r = -2.3 - -1.1. Is r > 1? False Let i be 25/(-20) - (-2 - -1). Let k(y) = -y**2 + 6*y + 5. Let d be k(5). Let z be (2/2)/((-15)/d). Which is smaller: i or z? z Let l be (40/(-168))/((-3)/(-18)). Which is bigger: l or 0? 0 Let g = 25 - 31. Let b = -17 + 12. Is b >= g? True Let z be 88/(-12)*18/8. Let m = z + 97/6. Is m smaller than 1? True Let b = -8 - -12. Let o = 7 + b. Which is smaller: o or -1? -1 Let x = -0.3 + -6.7. Let y = x + 10. Which is smaller: y or 1? 1 Suppose 5*i - 4*a = -2*a - 114, -4*i - 78 = 5*a. Let h = 18 + i. Is h > -11/3? False Let b be (-1 - (-2 - -1)) + -2. Let k be (36/(-56))/((-12)/14). Is b bigger than k? False Let w be (-16)/64*6/13. Which is bigger: 0 or w? 0 Let s be 1/27*(-3)/2. Which is smaller: -1 or s? -1 Let i = -2 - -2. Suppose i = -y - 2*t + 2, 4*y + 0*t - 2*t = -2. Which is greater: 0.2 or y? 0.2 Let y be (-4)/18 - (3 - (-58)/(-18)). Is -2/345 smaller than y? True Let v be (-31 - -4)*2/(-3). Let u = v - 13. Let d = 7 - u. Is 4/7 at most as big as d? True Suppose -5 - 3 = 4*u. Let w = -2 - u. Let d be ((-2)/6)/(4/(-3)). Is w at most as big as d? True Suppose -y = 4*y + 5. Which is bigger: y or -1/10? -1/10 Let o be 3 - 2/(-2 + 0). Let g = -3 + o. Which is smaller: 8 or g? g Let v = -0.051 + 2.051. Is v at least -0.4? True Let p be (-6)/(-8) - 5/20. Which is smaller: p or 2? p Let x(m) = m**3 - 5*m**2. Let j be x(5). Let u = -6/31 + 164/527. Is j greater than u? False Let x = 1 - 0. Let f be x/(-7) - (-220)/(-28). Let g = -15 - -6. Is f greater than g? True Let l = 11 - 7. Let t = l - 2. Suppose -2*u = -n + 7, n - t = u + 2. Which is smaller: n or 2/11? 2/11 Suppose 2*a = 4*t - 206, -256 = -4*t - t + a. Which is bigger: t or 2/7? t Let w = -186 + 2420/13. Which is greater: w or 1? 1 Suppose -5*q - 12 = -3*x, -7*q - 2*x = -2*q - 8. Suppose 0 = c - q + 2. Let d(j) = j**2 + 5*j + 1. Let i be d(-4). Which is greater: i or c? c Let k = -0.5 + -0.5. Are -0.1 and k non-equal? True Let n = -1 - -18. Suppose -2*b = r + 2*r - 7, -3*b = -2*r - n. Is b equal to 3? False Let u(t) = 2*t - 10. Let y be u(3). Is y greater than or equal to -22/7? False Suppose -4 = -5*i + 3*i. Suppose 0 = -i*d - 2*r + 8, -2*d + 5*r - 7 = 6. Let w = 0 - d. Which is smaller: 0.1 or w? w Let r be 4 + -8 - (-18 - -2). Which is smaller: r or 10? 10 Let k = -3 - 0. Let m be (2/k)/(1/3). Which is smaller: m or -7/4? m Suppose 5*x + 4*w = 2*w + 47, -w - 35 = -4*x. Which is smaller: 8 or x? 8 Let z(n) = -n**2 - 8*n - 2. Let i be z(-7). Suppose -i*k - 120 = -40. Let c be 4 + -1 + k/6. Which is smaller: 3 or c? c Let x = -24.6 - -25. Is -0.05 at least x? False Suppose 9*t + 4 = 10*t. Which is greater: 5 or t? 5 Suppose -o = -3*n + 3, -n + 6 + 0 = -2*o. Let a be -1 + (n - 667/(-4)). Let u = -165 + a. Are 0 and u nonequal? True Let g be (316/(-12))/((-2)/(-20)). Let q = -266 - g. Are -2 and q equal? False Let k = 10 + -16. Let m be 4 - 2 - (-15)/k. Let f = 0 - 0. Is m at most f? True Let q be (9 + 1)/(16 + -15). Let l = q + -7. Is 5 greater than l? True Let i = -4.9 - -4.9. Is i smaller than 11? True Let k = 1261/8 - 158. Which is bigger: k or -1? k Suppose 3*h + 16 + 12 = 4*d, -4*d + 16 = 0. Let f = h - -4. Is -1 > f? False Let x be (-22)/((3 + -1)/1). Which is smaller: x or 2? x Let c = -75 + 75. Let b = -4576/23 - -199. Which is greater: c or b? b Let j(y) = 3*y**2 - 21*y - 2. Let r be j(7). Are -4/7 and r non-equal? True Let b = -3/50 + 81/100. Let s = -249.1 - -249. Which is smaller: s or b? s Let i = -21 + 12. Let p be (-2)/i - (-497)/(-252). Which is smaller: -3 or p? -3 Let p be (30/(-4))/((-18)/(-96)). Let n be (18/p)/((-1)/(-796)). Let g = n - -357. Which is smaller: g or -1? g Let q(a) = a**3 - 2*a**2 + a - 2. Let j be q(2). Suppose 4*y + 17 = 4*m - 3, -4*y - 2*m + 4 = 0. Let i = y + -1. Is j at most as big as i? False Let v = -0.3 - -1.3. Let n = 2 - 1.1. Let h = n - 1. Is v >= h? True Let h = -3/442 - -977/13702. Is 0 at least h? False Let s be (-7)/5 - (-2)/5. Let o be -1*s/2 - 2. Which is smaller: -2 or o? -2 Let m = -5.08 + 0.08. Let o = 1.9 + -2. Which is smaller: o or m? m Let l be (-22)/(-10) - 2/10. Suppose -l*r = 0, -3*o + r + 9 = 4*r. Is o at least as big as 3? True Let k be 235/10 - 2/(-4). Suppose -4*z = -z - k. Is 8 less than z? False Let t be ((-2)/(-6))/(0 - 3/183). Is t at most as big as -20? True Suppose 0 = 4*w + 2*v - 40, -5*w - 4*v + 50 = -3*v. Suppose 0 = -11*b + 9*b - w. Which is smaller: b or -6? -6 Let q = 0 + 0. Let u = q - 0.2. Are u and 2 unequal? True Let s = -22/17 + 134/51. Suppose -8*q - 26 = -21*q. Which is smaller: q or s? s Let q(l) = -7*l + 2*l**2 - 2*l**2 - 8 + l**2 - 2*l. Let k be q(10). Is 4/5 < k? True Suppose -g = -4*g - 6. Let j(v) be the first derivative of -v**2/2 + v + 2. Let z be j(2). Do g and z have the same value? False Let k = 104595/59 - 1773. Does -1 = k? False Let p(q) = -q + 6. Let h be p(7). Let j be ((-1)/18)/(h/4). Does 0 = j? False Suppose 8 = 3*p - 1. Suppose p*m - 2*m - 12 = 2*o, -4 = m + 2*o. Suppose 2*t - h = -m*h + 2, -1 = -t - h. Is 2/7 less than or equal to t? True Let r(g) = -2*g - 4. Let l be r(-3). Let q = -5 + l. Let n be q/(-6) - 6/20. Which is smaller: n or -1/4? -1/4 Let j = 158 + -158.2. Let m(b) = 5*b**2 + 2*b**3 + 1 - 3*b**2 - 2. Let y be m(-1). Which is smaller: j or y? y Suppose -4*g + 106 = 2*v - 16, -2*v = -2*g + 70. Are g and 32 unequal? False Let r be 110/5 + (3 - 4). Let t = 21 - r. Is 1/18 equal to t? False Suppose -a = -2*t - 2*t + 3, 5*a + 4*t + 63 = 0. Is -12 at most a? True Let o = 0.2 + 39.8. Which is greater: 0.1 or o? o Suppose -5*t + 3*t - 108 = b, -t - b - 55 = 0. Is t less than or equal to -54? False Let q be 18/25*2*(-10)/4. Is -5 greater than or equal to q? False Let z be ((-147)/(-14))/(0 - 9). Which is smaller: -2 or z? -2 Let g = -3/4 - -1/2. Is 0.3 > g? True Let r be (-2)/(-3) + 8724/(-14274). Let m = r + 6/61. Suppose 0 = -0*j + 2*j. Are j and m unequal? True Let p(i) = i + 2. Let n be p(0). Suppose 0 = -o - u, 0*o = 4*o + n*u. Is o at least as big as 3? False Let h = 0.33 + -0.03. Let k be 50/(-20)*-2*1. Suppose 10 = -k*n - 0. Which is bigger: h or n? h Let n(c) = -c**3 + 8*c**2 + 10*c - 8. Suppose -3*t + 27 = -0*t. Let x be n(t). Let f = -1.1 + 1. Is f >= x? False Suppose -53 = -6*v + 1. Which is bigger: 10 or v? 10 Let m be (-2 + -224)*(-1)/(-270). Let g be 4/10 + (-59)/135. Let x = g - m. Which is bigger: 2 or x? 2 Suppose 0 = -5*o + 4*b + 11, 3*o = 2*b + 3*b + 4. Let q be (5 - o) + 1*-2. Are q and -8 nonequal? True Let m be 15/(-7) + 1*3. Which is greater: 1 or m? 1 Suppose 3*y - 8 = -2. Suppose 5 = -4*w + 1. Let d = w + y. Which is smaller: 3/5 or d? 3/5 Let k = -6.9 + 6.9. Which is bigger: k or -57? k Let w = -16/53 - -570/1537. Which is greater: w or 0? w Suppose -33 = 17*m - 16*m. Is m equal to -33? True Suppose 0 = 5*a - 9 - 1. Suppose -4 = -a*c + 6*c. Is -2/31 equal to c? False Let t be (22/(-33))/((-2)/81). Is t at least as big as 29? False Let d = -0.5 - -0.1. Let i = 0.6 - d. Let c = 2.05 - 0.05. Is i smaller than c? True Let m = -2 + 10. Let q(y) = -18*y - 80. Let b be q(-5). Is b smaller than m? False Let u = 4 - 3. Which is greater: u or -2/27? u Let b = -3.4 - -3.3. Is 0.04 at least b? True Let o be (-2)/1*(-40)/(-35). Does o = -2? False Suppose 4*i + 9 = 3*m, -5*i + 5*m - 8 = -3. Let b = i - -6. Let f be (-8)/(-70) - 4/10. Is b at most as big as f? False Let n = 0 + -1. Suppose 0*p - 2*p + 10 = 0. Let z be p/((-15)/6) + 2. Which is smaller: n or z? n Let c = 2.5 - 2.6. Is c greater than 9? False Let o = 25 + -8. Suppose 19 = 3*t - 4*m, -t + o = 4*t - 3*m. Which is greater: 1/23 or t? t Let w be (-1390)/(-180) + (-2)/(-4). Which is smaller: w or 8? 8 Let x be (-6)/(-4)*22/(-33). Let f = -3 - -6. Let r = -2.8 + f. Are x and r equal? False Let c be 48/18 + 2/6. Suppose -c = 4*i + 17. Let n be (-6)/(-15) - (-2)/i. Which is greater: 1 or n? 1 Let s be (-11)/(-44) + (-2)/4. Is s at least as big as -1? True Let u = 22/9 + -127/63. Which is greater: 0 or u? u Suppose -12 = -3*k - 5*i + 15, -3*k - 3*i + 21 = 0. Let l be k + -1 - (-74)/(-26). Is -1 <= l? True Suppose -4*t - 1
{ "pile_set_name": "DM Mathematics" }
*3 + -2)**2 + 3. -378*sqrt(17) + 12441 Simplify (-2 + (-1 + sqrt(72))*-1 + -5 + (sqrt(1800) - -3*sqrt(1800)) + sqrt(1800) + (-1*sqrt(198))/sqrt(11))**2. -1692*sqrt(2) + 39798 Simplify (-3*(1*(-1*sqrt(76) + sqrt(76))*5 - (sqrt(76) - 2*sqrt(76)*-2 - (3 + 1*sqrt(76) + sqrt(76)))))**2. -324*sqrt(19) + 6237 Simplify 1 + -4*(3 + (-4*sqrt(11) + -4 + sqrt(132)/(sqrt(108)/sqrt(9)))**2) + 0. -471 - 96*sqrt(11) Simplify 4*((1 + sqrt(2736))**2 + 2) + ((sqrt(133)/sqrt(7) + sqrt(19) + -4)**2 - (4 + (sqrt(19) + -1)**2)). 82*sqrt(19) + 11024 Simplify ((4*((sqrt(153)*1 - sqrt(153)) + sqrt(153)) + sqrt(153)*1*2)/(3*sqrt(9)*-3*-4))**2. 17/36 Simplify (sqrt(66)*1*5 + sqrt(66) + sqrt(66)*-4*3)/(sqrt(36)/(sqrt(54)/(sqrt(36)/sqrt(4)))*6). -sqrt(11) Simplify ((sqrt(160)/(sqrt(64)/sqrt(8)) + (sqrt(180) - sqrt(20) - sqrt(20))*5)/(sqrt(700)/sqrt(7) + (-4*sqrt(196) - sqrt(196)) + sqrt(196)))**2. 180/529 Simplify ((sqrt(252)/(2*sqrt(28)))/(((1*sqrt(252))/sqrt(7))/sqrt(3)) + 2)**2. sqrt(3) + 67/16 Simplify ((sqrt(684) - sqrt(684)*3)**2 + sqrt(209)/(sqrt(11) + sqrt(88)/sqrt(8) + sqrt(11)) - ((sqrt(76) - (-1 + sqrt(76) + sqrt(76))) + 2 + -1)) + -3. 7*sqrt(19)/3 + 2731 Simplify (((sqrt(18)*-3)/sqrt(6))**2*-2 - (-4*(sqrt(3) + 2) - (sqrt(243) - sqrt(243)*-2)))*-1. -31*sqrt(3) + 46 Simplify (3 + 2*sqrt(19) + (sqrt(19) - sqrt(1900)*-6) - (4*sqrt(171) + sqrt(19) + sqrt(19)*-4 + -1))**2. 432*sqrt(19) + 55420 Simplify (sqrt(132)/sqrt(4)*-6 - sqrt(363)/(sqrt(11)*2))/(sqrt(88)/(sqrt(648)*-1 + sqrt(8) + sqrt(8))) + 1. 1 + 91*sqrt(3)/2 Simplify (-3*(sqrt(350) - sqrt(350)*-1 - sqrt(350))*3)/(sqrt(140)/sqrt(5)*4). -45*sqrt(2)/8 Simplify (-6*(5 + -5 + 4 + (-4 + 2*sqrt(128) + sqrt(128) - sqrt(128) - sqrt(128))))**2 + -1. 4607 Simplify (2*((-2*sqrt(1216) + -3 - (-1*sqrt(1216) + -4)) + 6*(sqrt(1216) + 1) + 1 + sqrt(1216)*-2 + sqrt(1216)) + 4)**2. 2560*sqrt(19) + 78224 Simplify (0 + (sqrt(3) + 0 - sqrt(3)) + -4 + -5 - (6*(sqrt(9)/sqrt(3) - sqrt(3)) + (-2*sqrt(18))/sqrt(6)))**2. -36*sqrt(3) + 93 Simplify (sqrt(704) + 1 + sqrt(704) + -5 + sqrt(704) + -2*(0 + sqrt(704) + sqrt(704)) + 5)**2 + -1*(1 + (0 + -1*sqrt(11))*-2). -18*sqrt(11) + 704 Simplify 1*((sqrt(200) - (sqrt(200) + (sqrt(200) - (sqrt(200) + -3*sqrt(200))*5)))*3)/(((1*sqrt(240) + sqrt(240))/sqrt(8))/sqrt(3)). -33*sqrt(5) Simplify (-1*sqrt(60)*2 + sqrt(60) + sqrt(360)/sqrt(150))/(-1*sqrt(972)*-1) + 3. -4*sqrt(5)/45 + 3 Simplify -2*((-1 + sqrt(13) + -2 - -6*(sqrt(208) + sqrt(13)))*2 + 3) + -5. -124*sqrt(13) + 1 Simplify (sqrt(396)*-3*-4*6)/(sqrt(4) - sqrt(192)/sqrt(12) - (sqrt(48)/sqrt(3))/sqrt(4)). -108*sqrt(11) Simplify ((-2*sqrt(216))/(-1*sqrt(288)))**2 + (sqrt(12) - (3 + sqrt(60)/sqrt(5)))*2. -3 Simplify ((sqrt(57) + sqrt(684)/sqrt(108) + sqrt(57) - (sqrt(57) + 2*sqrt(2793) - sqrt(57)))/(-4*3*-2*sqrt(243))*3)**2. 23275/46656 Simplify ((sqrt(36)*2)/sqrt(3) - (6*sqrt(432))**2) + (-1 + 0 + 2*(sqrt(48) + -2))**2. -15335 - 76*sqrt(3) Simplify (-4 + sqrt(13)*-1 - sqrt(13)) + sqrt(143)/(sqrt(33)/sqrt(3)) + -1 - (((sqrt(117)*1)**2 - sqrt(117)) + sqrt(117) + 5 + 3)*1. -130 - sqrt(13) Simplify (1*(6*3*sqrt(170) - sqrt(170)))/(sqrt(110)/(sqrt(1100)*1))*6. 1020*sqrt(17) Simplify -3 + (((3 + sqrt(1900) + -1)*-1 + -3 + -1)*1)**2. 120*sqrt(19) + 1933 Simplify -2*-4*((-4*sqrt(384) - sqrt(384))/(sqrt(288)/(3*sqrt(6))))**2. 14400 Simplify (6*sqrt(12) - (sqrt(12)/sqrt(4) + -4))**2 + 2 + (-1*(2*sqrt(3)*1 + 1))**2. 92*sqrt(3) + 394 Simplify (sqrt(30)/sqrt(54) + sqrt(5) + 0)**2 + ((sqrt(495)/(-2*sqrt(11)))**2 - sqrt(45)) + sqrt(45) + 2*(-4 + sqrt(245)*-2*3). -84*sqrt(5) + 437/36 Simplify -6*(((-1 + sqrt(847))*6 - (-3 + sqrt(847) + -1 + sqrt(847))) + 1 - ((4 + (sqrt(847) + 0)**2 - sqrt(847)) + sqrt(847) + 5)*-1). -5130 - 264*sqrt(7) Simplify -4*(-3 + (sqrt(1100)*-2)**2) - 6*sqrt(88)/(sqrt(800)*-1). -17588 + 3*sqrt(11)/5 Simplify ((sqrt(1573) - (0 + sqrt(1573)*2)) + (sqrt(1573) - 1*sqrt(1573)*6))**2 - (3 + 0 + sqrt(13) + -2 + ((sqrt(468)*2 + sqrt(468))**2 - sqrt(468)) + -4). 5*sqrt(13) + 52419 Simplify -3*(-2 + ((sqrt(288) + 4 + 2 - sqrt(288) - sqrt(288) - sqrt(288))**2 - ((sqrt(288)*3 + sqrt(288))*1)**2) + -5). 864*sqrt(2) + 10281 Simplify (((sqrt(70) + (-4*sqrt(70) - sqrt(70)))*5 + (sqrt(70) - sqrt(70)*3*3) + sqrt(70))/((sqrt(400)/(sqrt(8)*2))/(sqrt(245)*1 - sqrt(5))))**2. 734832 Simplify ((4*(sqrt(1539) - (sqrt(1539) + -1 + sqrt(1539))) + -4 + 1 + sqrt(1539))**2 + 2 - -6*1*(-1 + (sqrt(1539) - sqrt(1539)*2)**2))*-3. -69246 + 162*sqrt(19) Simplify ((2*(sqrt(75)/sqrt(5))/sqrt(3) + (sqrt(605)*-1 - (sqrt(5)*2 + 0 - sqrt(5))))*-5 + 0)**2 + 2. 12502 Simplify -3*(-4*(3 + -1*sqrt(931) - (sqrt(931) + -2*sqrt(931)*-2 + sqrt(931))**2) + (-5 + sqrt(931) + 2 - (-3 + 1 + sqrt(931)))**2). -402159 - 84*sqrt(19) Simplify (-2*(sqrt(156) + -2*sqrt(156)*-2)*2)/(sqrt(768)*1 + sqrt(768) + 1*sqrt(1452)). -20*sqrt(13)/27 Simplify (1 + 2 + -3*(2*(sqrt(88) + sqrt(88)*-4))/(sqrt(8)*1*-4) + -3)**2. 891/4 Simplify (4*(1 + sqrt(432)) - ((sqrt(432) + -2*sqrt(432))**2 + -1)) + 5*(sqrt(432)*-1 + sqrt(432))**2 + (2 + sqrt(432) + -2)**2. 5 + 48*sqrt(3) Simplify -2 + (-2*-2*sqrt(91)*2*6)/(4*5*2*sqrt(1008)). -2 + sqrt(13)/10 Simplify ((sqrt(125)*-1)**2 + -3 + (sqrt(125) - (sqrt(125) + 0 + sqrt(125)))*3 - -4*(-1 + sqrt(125))*-5) + -4. -115*sqrt(5) + 138 Simplify (-3*sqrt(396)/((1*sqrt(108))/sqrt(9))*3)/(-2*sqrt(108)*3 - (3*(sqrt(24)/sqrt(4) - sqrt(6)))/sqrt(2)). sqrt(11)/4 Simplify 4 + ((sqrt(156) - sqrt(156)*4)*3)/(-2*(sqrt(1452) - sqrt(12)))*6. 4 + 27*sqrt(13)/10 Simplify (-2*sqrt(7200) - sqrt(100)/(-2*sqrt(2)))/(sqrt(10) + (sqrt(10) - 2*sqrt(90)) + sqrt(10) - sqrt(80)/(sqrt(8)*-2)). 47*sqrt(5)/5 Simplify 3*-3*4*(-1*sqrt(187)*1)/(sqrt(11)*-2*-3). 6*sqrt(17) Simplify (-2 + 4 + (-5 + 3 + sqrt(605)*1)**2 + 2)*6*5. -1320*sqrt(5) + 18390 Simplify (((sqrt(96) - (((sqrt(96) - sqrt(96)*1)*4 - sqrt(96)) + sqrt(96)))*5)/(-2*sqrt(12)*-6 + sqrt(36)/(sqrt(12)/sqrt(4) - sqrt(3) - sqrt(3))))**2 + -3. -163/121 Simplify 5*((sqrt(153) - (sqrt(153) - (sqrt(153) + 4))) + -5)*-4*1*5. -300*sqrt(17) + 100 Simplify 6*-2*(3*((sqrt(14)/(-1*sqrt(7)) + sqrt(2) - ((sqrt(4)/sqrt(2) - sqrt(2)) + -3) - 6*(1 + sqrt(2))*-2) + 3))**2. -66096 - 46656*sqrt(2) Simplify 1*sqrt(560)/sqrt(7) + -5 + sqrt(1620) + (-3*sqrt(15))/sqrt(3). -5 + 19*sqrt(5) Simplify (-6*((sqrt(130) + -1*sqrt(130))*-5 - (sqrt(130) + 5*-3*sqrt(130))))/(-6*sqrt(490) - (sqrt(110) - sqrt(110)*-5)/sqrt(11)). 7*sqrt(13)/4 Simplify ((1*sqrt(192)*-2 - (sqrt(192) - (-2 + sqrt(192) + -1)) - -5*(-1 + sqrt(192))*2)*-5*1 + 3)**2. -43520*sqrt(3) + 311824 Simplify -2 + ((sqrt(847) + -2)*5 + (sqrt(847) - -3*sqrt(847)*-4)**2 - ((sqrt(224)*-6)/(sqrt(8)*-1) + -2)). 43*sqrt(7) + 102477 Simplify (4*(4 + sqrt(304)*5) + 2 - (sqrt(304)*-4 + -2 + 3)*-4)**2. 704*sqrt(19) + 5348 Simplify 0 + -5 + (5 + (sqrt(171)*-2 + sqrt(171) - sqrt(171))*-3*-4 + 5)**2 + -2 + -3. -1440*sqrt(19) + 98586 Simplify -4 + (sqrt(75)*2)**2*-6*-5 + 4*-1*(sqrt(75) + -1) + 2. -20*sqrt(3) + 9002 Simplify ((sqrt(39) - sqrt(117)/sqrt(3))*-1 - sqrt(39) - (sqrt(624)*-2 + sqrt(624)))/(sqrt(108)/(-1*sqrt(4)))*5. -5*sqrt(13) Simplify ((-6*(0 + sqrt(242)))**2 - sqrt(6)/(sqrt(432)/sqrt(9))) + -5 + 3. -sqrt(2)/4 + 8710 Simplify -2 + (((sqrt(102) - sqrt(102)*-2*-2) + sqrt(102) + sqrt(102) + -6*sqrt(102)*2)/(-1*sqrt(384)*2))**2*1*2. 2617/128 Simplify 4 + (0 + 3 + 2 + sqrt(931) + 3*sqrt(931) + -3)**2 + -2. 112*sqrt(19) + 14902 Simplify ((-3*sqrt(120))/sqrt(8) - sqrt(15) - 6*((sqrt(240) - sqrt(15) - sqrt(15)) + sqrt(15)))/(3*(sqrt(1452)*-1 - sqrt(12))). 11*sqrt(5)/36 Simplify 1 + (-5*1*sqrt(242)*3)**2 + ((1 + sqrt(18) + sqrt(2))**2 + sqrt(2) + 5)*-1. -9*sqrt(2) + 54413 Simplify (-4*(-2 + -1*sqrt(75)) + 0 + (sqrt(9) - (sqrt(9) + sqrt(324) + sqrt(324)*-2 + sqrt(324)))/(sqrt(9)/(sqrt(15)/sqrt(5))))**2. 320*sqrt(3) + 1264 Simplify (3*((sqrt(1300) + -1)*3 - ((sqrt(1300) - (sqrt(1300) + 0)) + -5)) + ((sqrt(1300) + 0 + sqrt(1300))*3 - (-2 + sqrt(1300)*-2)) + 2 + -1)**2. 3060*sqrt(13) + 375781 Simplify -1*(-2*(-6*(sqrt(200) + 1))**2 - (3 + (3 + sqrt(200) + 1 - sqrt(200)))) + -5. 1440*sqrt(2) + 14474 Simplify (2*(-4*(-3*sqrt(117) - sqrt(117)) + sqrt(117))*1)/((sqrt(18) - -1*(sqrt(90)/sqrt(5) - sqrt(18)))/(sqrt(96)/sqrt(3))). 136*sqrt(13) Simplify 3 + ((sqrt(1300) + 0)*6 - sqrt(1300) - (-5 + 2*sqrt(1300) + sqrt(1300)) - (-1 + (
{ "pile_set_name": "DM Mathematics" }
-2/3 Which is the second biggest value? (a) 1/2 (b) 11.2 (c) -0.04 a What is the second biggest value in 32, 0.4, -0.06? 0.4 Which is the second smallest value? (a) 1/8 (b) 13 (c) 653 b Which is the biggest value? (a) 2/17 (b) 13.7 (c) -6/7 (d) 0.3 b Which is the second biggest value? (a) -50 (b) 0.2 (c) -4 (d) 3 b What is the third smallest value in 1/3, -2/5, -449, 0.3? 0.3 Which is the smallest value? (a) 5 (b) 2 (c) 0.1 (d) -0.02 (e) 3/8 d What is the second biggest value in -21, 4, -14, -4, 1? 1 What is the third smallest value in 2/11, 2/21, -1, 0.4, -5? 2/21 What is the fourth smallest value in -0.2, 2/19, -32, 3, 0? 2/19 What is the third biggest value in 1/3, 3, -2, 0? 0 Which is the smallest value? (a) -7 (b) 0.5 (c) 10 a What is the smallest value in 3, -5, 0, 2.6? -5 What is the second biggest value in 0.16, -2, -4/7, 0.3? 0.16 Which is the third smallest value? (a) -9 (b) 0 (c) 2/13 c What is the second smallest value in -11, -65, -4? -11 What is the smallest value in 0.5, -0.15, 0.4? -0.15 What is the second smallest value in 1, 0.5, -2/9, 0, 10/11? 0 What is the fourth smallest value in 0.1, -2, -37, 8? 8 Which is the fifth biggest value? (a) 0 (b) 1 (c) 28 (d) -4 (e) 0.1 d Which is the third smallest value? (a) 2/11 (b) -20/9 (c) -2/5 a What is the third biggest value in 0.03, -3, -2? -3 What is the smallest value in 3.8, -0.3, 1, -3? -3 What is the smallest value in 140, -8, 0.4? -8 Which is the second biggest value? (a) -1/3 (b) -2/5 (c) 79 (d) 4 d What is the fourth biggest value in -1, 0, 5, -5? -5 Which is the biggest value? (a) -8 (b) -17 (c) 1 c What is the fifth biggest value in 1, 0.1, -2, -1/26, 3? -2 Which is the second biggest value? (a) 0.3 (b) -1.1 (c) -0.1 c Which is the smallest value? (a) -0.04 (b) -11 (c) -0.2 b Which is the second biggest value? (a) 0 (b) 1/2 (c) 3 b Which is the second biggest value? (a) 3.2 (b) -1/19 (c) -1 b What is the third smallest value in -8, 46, -0.1, -3? -0.1 Which is the smallest value? (a) -1.5 (b) -0.19 (c) 7/2 a What is the fifth biggest value in -2/19, 1.8, -7, 1/2, -1/6? -7 Which is the fifth biggest value? (a) -7 (b) 2 (c) 0.3 (d) -22/3 (e) 3 d What is the biggest value in -0.3, -2/7, -1/3, -0.26? -0.26 What is the second smallest value in 51, -0.5, -1/7? -1/7 Which is the biggest value? (a) 0.1 (b) 4 (c) -2 b Which is the third biggest value? (a) -2 (b) -0.12 (c) 2 (d) -5 a What is the second biggest value in 0.4, -0.419, -0.1? -0.1 Which is the third smallest value? (a) 5 (b) 1 (c) -12/17 (d) -0.2 b Which is the second biggest value? (a) -2/11 (b) 0 (c) -100 (d) 3 (e) -1/4 b What is the second biggest value in 34, 0.2, -2? 0.2 Which is the biggest value? (a) 5 (b) 0 (c) -1/7 (d) 12 (e) 3/8 d Which is the fifth biggest value? (a) -0.6 (b) 6 (c) -1 (d) -3 (e) 1/5 d Which is the fourth biggest value? (a) 8 (b) 4 (c) -0.5 (d) 3 c What is the biggest value in -4/3, 8, -7, 1/4? 8 Which is the smallest value? (a) 0.07 (b) -3 (c) -9/4 b What is the third smallest value in 6/11, 0, 0.051? 6/11 Which is the third biggest value? (a) -2 (b) -0.3 (c) -0.2 (d) 9 b Which is the third biggest value? (a) -2/7 (b) -1/30 (c) 0.3 a What is the fourth biggest value in -4, -2, -2/5, -1/8? -4 Which is the biggest value? (a) -2/5 (b) -14.9 (c) 1/6 c What is the second biggest value in 1/6, 2/9, -0.2, -394, 0.1? 1/6 What is the third smallest value in 0.2, -2/9, -0.8, -2? -2/9 Which is the third biggest value? (a) 2 (b) -0.04 (c) 1261 b What is the smallest value in -0.11, 1, 0.1? -0.11 What is the third smallest value in -5, 13, 2, 1/180? 2 What is the third biggest value in 3.99, -4, -6? -6 Which is the third smallest value? (a) -0.1 (b) -2/7 (c) -1 (d) 25/6 a What is the third biggest value in -4/27, 3/7, -1.7? -1.7 Which is the second smallest value? (a) -3/2 (b) 1/103 (c) -3/7 (d) 4 (e) -4 a What is the fourth smallest value in 0.4, 2/7, 1/9, 0.8? 0.8 What is the smallest value in -1/4, -0.2, -5, -0.3? -5 What is the biggest value in 2, 9/4, 0.5? 9/4 Which is the biggest value? (a) 5 (b) -1/3 (c) -0.252 a What is the second smallest value in -2/455, 5, 0.5, 4? 0.5 What is the third smallest value in 6, -18, -3, 1/3? 1/3 What is the third smallest value in 11, -0.05, 5, -3? 5 Which is the second smallest value? (a) 3/8 (b) -36 (c) -4 c Which is the fifth smallest value? (a) -274 (b) -2 (c) 0.4 (d) 1/2 (e) -0.3 d What is the third biggest value in -0.0253, 11, -4? -4 What is the fourth biggest value in -0.2, -0.6, 2/7, 1/181? -0.6 Which is the fourth biggest value? (a) 0.5 (b) 4 (c) 1 (d) -0.01 (e) -39/14 d Which is the biggest value? (a) 4 (b) 19 (c) 0 b Which is the third biggest value? (a) 3/7 (b) -3/7 (c) -3 (d) -0.1 (e) 2/11 d What is the fourth smallest value in -4, 2/5, -5, 4? 4 Which is the fourth biggest value? (a) -5 (b) -4 (c) -6 (d) 5 c Which is the second biggest value? (a) -3/5 (b) 2/9 (c) -0.2 (d) 0.07 d What is the third biggest value in -1/7, 55, 4, -0.05? -0.05 What is the fourth biggest value in 0.5, 2/93, -0.4, 7/5? -0.4 Which is the fifth biggest value? (a) -0.1 (b) 6 (c) 1 (d) -3 (e) -1/7 d Which is the biggest value? (a) 2/11 (b) -2/101 (c) 0 a What is the third biggest value in -2, 23/82, -1/7? -2 Which is the smallest value? (a) 1/4 (b) 3 (c) 41 a What is the third biggest value in -5, -1147, 0.2? -1147 Which is the second smallest value? (a) -5 (b) 2/3 (c) 5 (d) 77 (e) 2 b What is the third biggest value in 3, -10, -0.08, -5? -5 Which is the biggest value? (a) -185 (b) 1/2 (c) -1 b What is the biggest value in 0.5, 4, 0.52, 2? 4 What is the third biggest value in -6, -15, -1/3, -0.4? -6 Which is the second smallest value? (a) -2990 (b) -4 (c) -3 b What is the third biggest value in -1/2, -37/3, -0.4? -37/3 What is the fourth smallest value in -0.01, -3/2, -1/2, 4? 4 What is the second biggest value in 25/2, 2/3, 4? 4 What is the second biggest value in 5/3, -2/7, -24, -2/15? -2/15 Which is the second biggest value? (a) 4 (b) -1.6 (c) 302 a What is the third smallest value in 16/3, -11.4, 5? 16/3 What is the fourth smallest value in 2/11, 0, 32, 3? 32 Which is the third smallest value? (a) 14 (b) 2 (c) 222 c Which is the biggest value? (a) 11/2 (b) -11.3 (c) -0.3 (d) 2/9 (e) -4 a Which is the fourth biggest value? (a) 0.2 (b) 32 (c) -4 (d) -2 c What is the second biggest value in -3, -1/2, 456? -1/2 What is the second smallest value in 0.2, -4, -1.38? -1.38 Which is the biggest value? (a) -1 (b) -2/5 (c) 1 (d) -3 c Which is the third biggest value? (a) 0.1 (b) -0.5 (c) -3/4 (d) -130 (e) -0.1 b Which is the fourth smallest value? (a) 0.5 (b) -2/9 (c) 27/20 (d) 2/11 c Which is the biggest value? (a) -0.1 (b) -6 (c) 0.263 (d) -4 c Which is the fourth biggest value? (a) 6 (b) 15 (c) -0.4 (d) 0.2 (e) 0.3 d Which is the third biggest value? (a) 0 (b) -69 (c) 82 b What is the third biggest value in -0.6, 3, 14, -31/4? -0.6 Which is the second smallest value? (a) 5/6 (b) -1/4 (c) -2/3 (d) 0.2 b What is the second biggest value in 0, 0.1, -4? 0 Which is the second biggest value? (a) 4 (b) -0.4 (c) -165/2 b What is the second biggest value in -2, 0.4, 1/324? 1/324 What is the biggest value in -5, 2/9, 0, -17? 2/9 What is the third biggest value in 1/8, -1/13, -1/3, 0, -2? -1/13 What is the smallest value in 2, -31, -4? -31 What is the biggest value in 1/3, 3, 5, -1/2? 5 What is the fourth biggest value in -1, -5, -9.6, 1? -9.6 Which is the fourth biggest value? (a) 2/89 (b) 1/4 (c) -0.02 (d) -2 (e) -3 d What is the third smallest value in -6/7, -2/17, 4/21? 4/21 Which is the third biggest value? (a) 5 (b) -25 (c) -0.3 (d) -0.5 d What is the third biggest value in 0, -0.3, 1, -2/15? -2/15 What is the biggest value in -0.3, -0.1, 74, -0.4, -0.5? 74 Which is the biggest value? (a) -0.07 (b) -0.4 (c) -1 (d) -2 a What is the second biggest value in -1/10, -0.7, -1, -5, -1/2? -1/2 Which is the fourth biggest value? (a) 0.3 (b) -2 (c) 1/6 (d) 2/7 (e) -9 b What is the second biggest value in 0, 1, -4? 0 What is the third smallest value in 0.03, -10, -2?
{ "pile_set_name": "DM Mathematics" }
))**2)*6 + (3 + ((sqrt(128) + sqrt(128)*1)*3 - sqrt(128)))**2 + -4. -336*sqrt(2) + 6331 Simplify 1 + ((-2*sqrt(65) + sqrt(65))/sqrt(5) - (sqrt(13) + sqrt(520)/sqrt(10)))**2 + ((-5*sqrt(65)*1)/(sqrt(405)/sqrt(9)))**2. 2206/9 Simplify (((sqrt(450)/(sqrt(36)/sqrt(4)) - -5*sqrt(450))*-1)/(((sqrt(70) + sqrt(70)*2 + sqrt(70) + sqrt(70))*2)/(sqrt(21)/(1*sqrt(3)))))**2. 64/5 Simplify 6*((((sqrt(567)*2 + -3 - sqrt(567)) + sqrt(567))*2*3)**2 + (4*3*-4*(sqrt(567) + sqrt(567) + 0))**2). -23328*sqrt(7) + 31844664 Simplify (5 + (5 + sqrt(931) + 1 - (-3 + sqrt(931) + 2)**2))*4. -3684 + 84*sqrt(19) Simplify (sqrt(210)/(sqrt(7) + -3*sqrt(7)) - (sqrt(180) + 1*sqrt(180))/sqrt(6))/(sqrt(54)/sqrt(81) - (-3*sqrt(24) + sqrt(24))). -15*sqrt(5)/26 Simplify (((sqrt(85) - (sqrt(85)*-1 + sqrt(85))*5) + sqrt(85) + -5*-2*sqrt(85))*6)/((sqrt(50) - 5*1*sqrt(50))/(sqrt(160)*-5)). 360*sqrt(17) Simplify ((-5*(sqrt(190)*1 - sqrt(190)))/(sqrt(50)/sqrt(5)*4))**2 + ((2*sqrt(76)*-1)/(2*(sqrt(12)/sqrt(3) + sqrt(4))))**2. 19/4 Simplify 6*(sqrt(832) - (sqrt(832) - -1*sqrt(832)*-4))/((2*1*sqrt(32))/sqrt(8)) + -5. -5 + 48*sqrt(13) Simplify ((4*sqrt(80)*3*-2)/(-5*6*sqrt(90)*1))**2. 128/225 Simplify (sqrt(121) + -2*sqrt(121)*-2)/(1*sqrt(11)*-2) + -2 + (-4 + sqrt(1584)*-3 + sqrt(1584))**2. 379*sqrt(11)/2 + 6350 Simplify ((-1*sqrt(72))/(sqrt(9) + sqrt(9) + 2*sqrt(9)*1) + -4*(sqrt(216)/sqrt(12) + 0))**2. 625/2 Simplify -1 + 6*sqrt(17)*2 + sqrt(170)/sqrt(250) + 5 + (-2 + 6*(2 + sqrt(833)))**2. 4261*sqrt(17)/5 + 30092 Simplify (((-1*sqrt(90))/sqrt(9))/(-6*(sqrt(2) + sqrt(2)*2 + sqrt(2))))**2 - (sqrt(35)/(sqrt(49)/sqrt(7))*-6 + 3)**2. -108859/576 + 36*sqrt(5) Simplify 3 + (((sqrt(3) + sqrt(12) + sqrt(3) + 3)*3)**2 - -1*sqrt(3)*1*-4). 212*sqrt(3) + 516 Simplify (-6*(sqrt(396)/(-1*sqrt(11)))/(1*sqrt(3)*-2)*-6)**2. 3888 Simplify ((1*1*sqrt(364) + sqrt(364))/(sqrt(63)/(-2*sqrt(9))))/(sqrt(256)*4 + sqrt(4) + (sqrt(4) - sqrt(28)/sqrt(7))*-4). -4*sqrt(13)/33 Simplify 2 + (-4*(-4*-1*sqrt(95)*-2)/(-6*(sqrt(605) + sqrt(605) + sqrt(605)*1))*-1)**2. 24466/9801 Simplify (1 + 2*1*(3 + 6*5*(sqrt(117)/sqrt(9) + sqrt(13) + sqrt(13) - sqrt(13))) + 2)**2. 2160*sqrt(13) + 187281 Simplify 2*(5 + (sqrt(2880) - -1*sqrt(2880)) + (4*sqrt(405) + sqrt(45))**2 + -5). 96*sqrt(5) + 15210 Simplify (((sqrt(280)*2)/sqrt(10) + sqrt(28))*3*-1)/((sqrt(400) + sqrt(400)*-1 + sqrt(400))*1*-6). 3*sqrt(7)/20 Simplify (-1 + (-2 + 6*1*sqrt(1872))*-2 + -1 + 2 + -5)**2. 288*sqrt(13) + 269569 Simplify ((4 + (sqrt(153) + 1*sqrt(153) + 4 - -3*(-1 + sqrt(153))) + -4)*-6)**2*-4. -550944 - 4320*sqrt(17) Simplify (-1 + -5*((4 + sqrt(208) + -1*sqrt(39)/sqrt(3))*4 + -1))**2. 9120*sqrt(13) + 52576 Simplify (-6*(-3*-6*(sqrt(1700) - (2*sqrt(1700) + sqrt(1700))) + (4*sqrt(1700)*-2 - (1*sqrt(1700) + 0)))*1*-3)**2. 1115370000 Simplify -4 + (sqrt(7) - (sqrt(14)/sqrt(2))**2*5) + -2 + -5*(sqrt(847) + 4)**2. -4356 - 439*sqrt(7) Simplify (3 + -1*(1*sqrt(1584)*-2*2 + (5*(sqrt(1584) + 1*sqrt(1584) + sqrt(1584)) - (-1 + sqrt(1584) + -4))))**2. 480*sqrt(11) + 158404 Simplify 5*(4*-3*sqrt(468) - (5 + sqrt(468) + -3) - 2*(sqrt(468)*1 + -3 + -3*(-1 + sqrt(468)))). -270*sqrt(13) - 10 Simplify ((2*sqrt(91)*1 - sqrt(91)) + sqrt(91) - 3*sqrt(91)*4)/(sqrt(756)/(sqrt(144)/sqrt(3))). -20*sqrt(13)/3 Simplify ((4*-5*sqrt(96) + sqrt(96) - sqrt(96))/(-3*sqrt(18)/sqrt(6)))**2 + -2. 12782/9 Simplify (((sqrt(600) - (sqrt(600) - (sqrt(600) - (sqrt(600) - 2*sqrt(600) - sqrt(600)))) - -1*sqrt(24)*2)*1)/(sqrt(40)/(-5*sqrt(80))*-3))**2. 115600/3 Simplify (6*((3*(sqrt(1088) + sqrt(1088)*-5) + 2 - (sqrt(1088)*-1 + -1 + (sqrt(1088) + 1)*-2)) + -1))**2. -20736*sqrt(17) + 3173184 Simplify ((sqrt(1408) + (2*sqrt(1408) - sqrt(1408) - sqrt(1408)) - sqrt(1408)) + -4*sqrt(44)/sqrt(2))/((sqrt(200) - sqrt(200)*5)*-3). -sqrt(11)/30 Simplify ((sqrt(2688)*-1)/(sqrt(150)*3) + (-2*(sqrt(7) + sqrt(700)) - 3*(sqrt(7) - (-2 + sqrt(7)))))**2. 1352*sqrt(7)/5 + 807808/225 Simplify -3 + -2*(3 + sqrt(352)/sqrt(200) - (-3*sqrt(704) + -2))**2. -328773/25 - 488*sqrt(11) Simplify (sqrt(2299) + 2)**2*4*3 + (sqrt(171) + -5*(-1*sqrt(171) - sqrt(171)))/((sqrt(576) - -1*sqrt(576)) + sqrt(9)). 8987*sqrt(19)/17 + 27636 Simplify (-1*-1*2*sqrt(5616))/((sqrt(1536) - (sqrt(1536) + 2*sqrt(1536)))/(sqrt(648) + (sqrt(648) + -1*sqrt(648) - sqrt(648)) - sqrt(648))). 27*sqrt(13)/2 Simplify (-2 + sqrt(500) + 3 - -2*sqrt(500)*2) + -1*((4 + sqrt(500) + 0 + sqrt(500))**2 + -2). -2013 - 110*sqrt(5) Simplify -5*(6*sqrt(110)*-2 - (sqrt(110) - 6*(2*sqrt(110) - sqrt(110)) - sqrt(110)))/(5*-5*((sqrt(360) - (sqrt(360)*-2 - sqrt(360))) + sqrt(360))). -sqrt(11)/25 Simplify 1*(-4*(-4*-2*sqrt(108)*-2*5 + -4))**2. 61440*sqrt(3) + 11059456 Simplify ((1*sqrt(450)*2 - (sqrt(450) - ((sqrt(450) + 1*sqrt(450))*5 + sqrt(450))))/(-5*((sqrt(150)/sqrt(5))/sqrt(3) + sqrt(10) - sqrt(320)/sqrt(2))))**2. 324/5 Simplify ((sqrt(209) + 3*((sqrt(209) - ((-4*sqrt(209) - sqrt(209)) + sqrt(209)) - sqrt(209) - sqrt(209)) + sqrt(209) + sqrt(209)))*4)/(4*sqrt(1100)*5). 8*sqrt(19)/25 Simplify (-3*-1*sqrt(240)*3)/((sqrt(420)/sqrt(63))/sqrt(12)). 108*sqrt(3) Simplify ((sqrt(18) + 1*sqrt(2592) - (sqrt(198)/sqrt(44) - sqrt(18)))*-2)/(1*-5*sqrt(36)/sqrt(4)*-3). -9*sqrt(2)/5 Simplify (1*3*((sqrt(3328) + 1 - sqrt(3328)) + -3 + 1)*5)**2. 225 Simplify (1*4*(sqrt(5) + -1))**2*-3 + (sqrt(2240)*-1 + sqrt(35))/(sqrt(77)/sqrt(176) + sqrt(7)). -288 + 452*sqrt(5)/5 Simplify (4 + -3*(-3 + (sqrt(700) + 3 - sqrt(700))*-6*3 + -1) + -4)**2. 30276 Simplify -2 + 2*(1 + sqrt(1088)) + (1 + (sqrt(1088) - (sqrt(1088) + 0)))**2 - (-5 + -5 + sqrt(425)*-2*-4). -24*sqrt(17) + 11 Simplify 6*((sqrt(84)/(sqrt(60)/sqrt(5)))**2 - (0 + sqrt(567) + sqrt(567))**2) + (sqrt(343) + 2*(sqrt(343)*1)**2)*1. -12880 + 7*sqrt(7) Simplify (-1 + sqrt(637) - sqrt(637)) + -4 + 3*sqrt(637) + -2 - ((sqrt(143)*2*3 + sqrt(143))/(sqrt(11)*-1*-3 + sqrt(11)))**2. -749/16 + 21*sqrt(13) Simplify -5 + (-3*2*(-1 + sqrt(19) + -1) - ((-1*sqrt(2736))**2 + 4)*1) + -1. -2734 - 6*sqrt(19) Simplify -4*(3 + -1*sqrt(1377) + -1 + 5*sqrt(1377) + 3)**2. -88228 - 1440*sqrt(17) Simplify 1 + 1 + sqrt(468) + -3 - ((sqrt(1053) + -6*(sqrt(1053) + sqrt(1053) + 1) + sqrt(1053))**2 + -1). -105336 - 1074*sqrt(13) Simplify ((sqrt(192) - (sqrt(192) - -1*sqrt(192))**2)*-5 - (sqrt(192) - 1*sqrt(192)*-6)) + ((2 + sqrt(192) + 0)*5 + 3)**2 + -5. 944*sqrt(3) + 8804 Simplify (-2*sqrt(490) - (sqrt(160)/sqrt(4) + sqrt(10)))/(sqrt(6)/(sqrt(75) + sqrt(3)) + (sqrt(72) + -3*sqrt(72) - sqrt(72))). 102*sqrt(5)/107 Simplify (6*sqrt(72)/sqrt(3)*-4*-1)/(sqrt(96)/(sqrt(588) + 1*sqrt(588) - sqrt(588))*-6). -28*sqrt(3) Simplify (sqrt(4)/sqrt(2)*-4*1)**2 + 3 - ((sqrt(1800)*-1 + sqrt(1800))/(2*sqrt(9)*-3))**2. 35 Simplify (3 + sqrt(363)*1 + -2)*-1 + (-3 + sqrt(363)*1 + -2*sqrt(363) + 5 + 1)**2. -77*sqrt(3) + 371 Simplify (2*sqrt(1100))/(sqrt(180)/sqrt(5)) + (-4*(sqrt(110) + (-1*sqrt(110) - sqrt(110)) + sqrt(110)))/(sqrt(10) - sqrt(50)/(-1*sqrt(5))). 10*sqrt(11)/3 Simplify (1 + sqrt(12)/sqrt(36) - ((sqrt(3) + 1)*1*-6)**2) + ((sqrt(90) + -1*sqrt(90) - sqrt(90))/sqrt(6))/(sqrt(245) + -1*sqrt(245) + sqrt(245)). -143 - 1508*sqrt(3)/21 Simplify (2*sqrt(209)*1)/(sqrt(11) - sqrt(11)*-2*-1) + -3 + (5*sqrt(304) + (-2*sqrt(76))/sqrt(4))**2. -2*sqrt(19) + 6153 Simplify (-2 + 2*sqrt(68) + (-4*1*sqrt(68))**2)*-4 - (-4 + 5*(4 + sqrt(68)*-1)). -4360 - 6*sqrt(17) Simplify -5*((sqrt(156)/sqrt(4)*-5)/((sqrt(288)/sqrt(12))/sqrt(8))*3 + -1). 5 + 75*sqrt(13) Simplify -1*(5 + sqrt(192) + 1)**2 - (sqrt(75) + 3 + sqrt(75) + -1 + sqrt(27))**2. -739 - 148*sqrt(3) Simplify -4*sqrt(26)/(sqrt(2) + sqrt(242)*2) - ((-3*sqrt(13))**2*3 - sqrt(143)/(sqrt(11)*-2)). -351 - 31*sqrt(13)/46 Simplify -2 + (-1 + sqrt(847))*5 + (sqrt(63)/sqrt(48))/(sqrt(9)/sqrt(3)*-6). -7 + 1319*sqrt(7)/24 Simplify (-4 + sqrt(12) - sqrt(12)) + ((3 + sqrt(3)*6)**2 - sqrt(3)) - (-5 + sqrt(75) + -2 + -4)**2. -83 + 145*sqrt(3) Simplify 5*(-2*sqrt(832) + sqrt(208) + 0 + (6*(0 + sqrt(325) + 0))**2). -60*sqrt(13) + 58500 Simplify 6*(2*-1*sqrt(77)*-5)/((sqrt(448)*-2 + sqrt(448))*3)*-2. 5*sqrt(11) Simplify ((1*-2*(1*sqrt(2793) - sqrt(2793) - sqrt(2793) - sqrt(2793)))/(sqrt(36)/(sqrt(96)/sqrt(8)) - sqrt(3) - (sqrt(75) - 5*sqrt(75))))**2. 931/25 Simplify 4 + (sqrt(3744)*-3)/sqrt(2) - ((5 + sqrt(832)*-1 - sqrt(832)) + sqrt(832)*1 + 3)**2. -892
{ "pile_set_name": "DM Mathematics" }
Suppose 7*y + 726 = 5941. What are the prime factors of y? 5, 149 Let r(b) = b**3 - b**2 + 3. Let m be r(0). Suppose 3*a - 150 = -m*l, -l + 44 = a + 2*a. List the prime factors of l. 53 Let l = 404 + -91. What are the prime factors of l? 313 Let k be (-4)/(4/(-5)) + 4. Suppose -4*w - 125 = -k*w. List the prime factors of w. 5 Let t(n) = -24*n**2 + 27*n**2 - 3*n - 2 + 3*n. What are the prime factors of t(5)? 73 Suppose 3*b + 710 = 5*b. Suppose 5*u = -3*d + b, -3*d - 3*u + 160 = -191. What are the prime factors of d? 5, 23 Suppose -4*k + 215 = q, -q = -6*q - 5*k + 1060. What are the prime factors of q? 211 Suppose -n - 47 = -5*m - 4*n, 4*n = 5*m - 19. Suppose 2*c - l = 0, m*l - 2*l - 20 = 0. Let z(v) = 10*v**2 - v - 4. List the prime factors of z(c). 2, 17 Let d(b) = 942*b - 176. What are the prime factors of d(4)? 2, 449 Let h = 5 - 1. Let p be (h - -1)*(-44)/10. List the prime factors of p/(-33) + 79/3. 3 Let x(h) = -24*h - 2. Let r be x(-4). Suppose 2*u - 4*u + r = 0. List the prime factors of u. 47 Suppose h = -d - 0*d + 3379, 2*h = 3*d + 6773. List the prime factors of h. 2, 19, 89 Let a(p) = -4 + 3*p**3 - 10*p**2 + 4*p**2 - 4*p**3 - p. Let d be a(-6). Suppose d*f + 2*f - 8 = 0. What are the prime factors of f? 2 Let y(q) be the third derivative of -5*q**4/12 + 3*q**3/2 + 20*q**2. What are the prime factors of y(-17)? 179 What are the prime factors of 30/(-105) - (-331)/7? 47 Let m(w) = -17*w**2 - w - 3. Suppose -2*o - 6 = o. Let u be m(o). Let i = 131 + u. What are the prime factors of i? 2, 31 Let h(o) = o**2 - 13. Let b be h(-4). Let u(a) = 2*a**3 + 2*a**2 + 5*a + 2. List the prime factors of u(b). 89 Let r(c) = 18*c**2 - 14*c - 3. What are the prime factors of r(5)? 13, 29 Suppose 38*g + 522 = 44*g. What are the prime factors of g? 3, 29 Suppose 2*f - 28 = 3*s + 52, f + 92 = -4*s. Let v = s - -25. List the prime factors of 32 - (0 + 2)*v. 2, 3, 5 Let z be (-3)/(1*(-3)/4). Suppose -2*b - b = z*l - 203, 4*l - 221 = 3*b. What are the prime factors of l? 53 Let t(m) = 30 + 13*m - 8*m - 9*m. List the prime factors of t(7). 2 Suppose 0 = 2*c + 20 + 12. Suppose 0*w - 5*w + 60 = 0. Let m = w - c. List the prime factors of m. 2, 7 Suppose v - 86 = -4*a, 0*v - 3*v + 27 = a. Suppose -4*u - a + 121 = 0. List the prime factors of u. 5 Suppose 4*w - 2*z + z - 2297 = 0, -1694 = -3*w - 5*z. What are the prime factors of w? 3, 191 Suppose -2*m + 0*m = -272. Suppose -3*v + 80 = 2*i, 2*v - 7*v = 2*i - m. What are the prime factors of v? 2, 7 Let n be (-210)/9*3*1. Let a = n + 117. Suppose 0*i - 2*k + a = 3*i, -2*i + 30 = 2*k. What are the prime factors of i? 17 Suppose -9*w - 5 - 4 = 0. Let n be (-3 + w)/((-18)/225). Suppose -t = t - n. What are the prime factors of t? 5 Let k be (6 + -1)*8/10. Suppose 0 = -k*y + 8*y - 380. Suppose 0*q + y = 5*q. List the prime factors of q. 19 Let j(z) = -z**2 - 17*z + 111. List the prime factors of j(-21). 3 Let c(k) = 5*k - 25. Let i be c(6). Suppose 5*y + 4*x = 332 + 33, 5*y + i*x = 365. What are the prime factors of y? 73 Let o(j) = -241*j - 66. List the prime factors of o(-3). 3, 73 Let n(t) = 7*t - 14. Let y be 5/15 + 7/(-3). Let z be (1 + 17)*y/(-6). What are the prime factors of n(z)? 2, 7 Let b = -1 - -6. Suppose -3*q + b*q = 10. Suppose -17 + 87 = q*n. What are the prime factors of n? 2, 7 Let u be (3/6 - 0) + (-172)/(-8). Let o = 101 - u. What are the prime factors of o? 79 Suppose 0 = -3*q - 2*h + 12 + 1, -3*h = -5*q + 9. Let l(p) = -2 + 11*p**2 + 4*p + 2*p**3 - 3*p**2 - p**q + 1. What are the prime factors of l(-7)? 2, 5 Let s(o) = o**3 + 6*o**2 - 6*o - 2. Suppose 0 = 4*k + 3*k + 35. What are the prime factors of s(k)? 53 Let n = 1 + 3. Suppose 8*g - 276 = n*g. Suppose g = 3*i - 30. What are the prime factors of i? 3, 11 Suppose -3*s = 134 - 35. Let l = 93 + s. Suppose -h = -2*h + l. What are the prime factors of h? 2, 3, 5 Suppose 2*y - y = 2*a + 4, -a = 0. Suppose -5*o - 3*q + 237 = -o, -4*o - y*q = -240. List the prime factors of o. 3, 19 List the prime factors of 6/14 + (-71578)/(-91). 787 Suppose 13*c = c - 360. List the prime factors of (-6835)/c - (-1)/6. 2, 3, 19 Let j be 3/12 + 26/(-8). Let c be 2 + 32/(j + 7). Let y = c + -1. List the prime factors of y. 3 Let k = 5 - 11. Let y be (1 + -2)*k/1. What are the prime factors of (70/(-30))/((-1)/y)? 2, 7 Suppose 3*z + 72 = 852. What are the prime factors of z? 2, 5, 13 Suppose 5*r + 4*z = 338, -5*z + 21 = r - 55. Suppose -300 = -4*c + 3*q, 0*c - r = -c + 3*q. What are the prime factors of c? 2, 3, 13 Let f(t) = -10*t + 178. What are the prime factors of f(6)? 2, 59 Suppose -32*f = -24*f - 384. What are the prime factors of ((10/(-3))/(-1))/(f/1944)? 3, 5 Let g(t) = -t**3 + 10*t**2 + 7*t + 6. Let d be g(7). Let k = d + -134. Suppose k = 9*z - 7*z. List the prime factors of z. 2, 17 Let b = 3 - -2. Suppose -6*c + 20 = -b*c. Let o = 8 + c. What are the prime factors of o? 2, 7 Suppose 4*d = 0, 0 = -4*p + 5*d - 3 - 1. Let h be 11 - 0 - 1/p. Let b = 10 + h. What are the prime factors of b? 2, 11 Suppose 3*c = -106*s + 105*s + 4114, 5486 = 4*c + s. List the prime factors of c. 2, 7 Let t = -1802 + 3922. What are the prime factors of t? 2, 5, 53 Suppose 13*c - 240 = 8*c. Suppose 4*w = -0*w + c. Suppose 2*v + v - w = 0. List the prime factors of v. 2 Suppose -4*j + 12 = 0, -s + j + 388 = -j. What are the prime factors of s? 2, 197 Suppose 6*j = -8*j + 18956. List the prime factors of j. 2, 677 Suppose -4*a = o - 42, -4*o + 7*o + 3*a = 171. What are the prime factors of o? 2, 31 Suppose 8*x - 2838 = 4938. List the prime factors of x. 2, 3 What are the prime factors of 5553/27*72/4? 2, 3, 617 Let l = 7 + -6. What are the prime factors of (5 - (l + 6))/((-2)/37)? 37 What are the prime factors of ((-66)/4)/((-105)/12390)? 3, 11, 59 Let b = -8 - -11. Let x(o) = 6*o - 4 - 6*o**2 + 5 - b*o + o**3. What are the prime factors of x(6)? 19 Let v = 12 - 9. Let s be v/2*20/(-15). List the prime factors of 52/2 + (s - -3). 3 Let w = -3265 + 4873. List the prime factors of w. 2, 3, 67 Suppose 82317 = 24*m - 29307. What are the prime factors of m? 4651 Suppose 0*c = 2*c - 258. Let t = c - 82. What are the prime factors of t? 47 Suppose -10 = -2*c + c - 5*a, 0 = -5*c - 5*a + 30. Suppose c*g - 227 = 2*l + 132, l = 3. List the prime factors of g. 73 Let b be (-2)/14 + 55/(-7). What are the prime factors of 9*28*b/(-12)? 2, 3, 7 Suppose 0 = -4*a + 54 + 22. Let m = a + -14. Suppose -m*p = -3*i + 28, 3*i + 4 = 2*i - 5*p. List the prime factors of i. 2, 3 Let m = 9 + -6. Suppose -5*y = m*f - 112, -20 = 4*y + 5*f - 120. What are the prime factors of y? 2, 5 Suppose 8 = 3*c - 7*c. What are the prime factors of ((-20)/25)/(c/40)? 2 Let v(i) = 4*i**3 - i**2 + 5*i - 6. Let n be v(3). Suppose 3*l + n = 5*l. What are the prime factors of l? 2, 3 Let t be (-3 - -13)*3/(-2). Let z = t - -17. Suppose 2*w + 17 = z*i - w, 26 = 3*i - 4*w. What are the prime factors of i? 2, 5 Suppose -15 = 5*h, k + 4*h - h = 25. Suppose 0 = -5*j - 15 - 40. Let t = k + j. What are the prime factors of t? 23 Suppose 0 = 3*h - 4*h + 1. Let l be h*-12*13/(-26). List the prime factors of -2*l/(-4) - -44. 47 Let u(y) = y**3 - 2*y**2 - 5*y - 2. Suppose -2*r - 3 = -9, -2*r - 14 = a. Let i be (-24)/a*(-30)/(-9). What are the prime factors of u(i)? 2, 5 Let l = -7 - 3. Let r(a) = a**2 + 11*a + 8. Let f be r(l). List the prime factors of 2/f - (-1 + -10). 2, 5 Let w = 49 - 92. Let i = -26 - w. Suppose -21*s + i*s + 28 = 0. What are the prime factors of s? 7 Suppose -10*a = -12*a + 1504. What are the prime factors of a? 2, 47 List the prime factors of 4/((-24)/(-78))*27. 3, 13 Let l = -1504 - -5228. What are the prime factors of l? 2, 7, 19 Let i be (-2)/10*(-210)/14. Suppose 3 = -w + 4*w, 0 = i*a + w - 496. List the prime factors of a. 3, 5, 11 Suppose -10189 + 2097 = -17*p. List the prime factors of p. 2, 7, 17 Let m(h) = -4*h**3 + 34*h**2 - 57*h - 58. Let q(v) = -v**3 + 11*v**2 - 19*v - 19. Let f(l) = -2*m(l) + 7*q(l). What are the prime factors of f(-8)? 199 Suppose -32976 + 3447 = -17*n. List the prime factors of n. 3, 193 What are the prime factors of -93*((-4)/(-3))/((-24)/732)? 2, 31, 61 Let q = 28 + -16. Let j be ((-36)/8)/((-9)/(-12)). What are the prime factors of (-20)/j + 8/q? 2 What are the prime factors o
{ "pile_set_name": "DM Mathematics" }
r when k is divided by 16? 15 Suppose y + 76 = 5*v, -5*v - 5*y - 18 = -88. Calculate the remainder when v is divided by 4. 3 Suppose 5*s - s = 0. Suppose s*x - 10 = -x. What is the remainder when 30 - ((2 - 4) + 4) is divided by x? 8 What is the remainder when 14/(-2)*(-210)/147 is divided by 3? 1 Let a be 80/(-36) + (-2)/(-9). Suppose 3*q = -4*h + 93, -4*h + 145 - 25 = 4*q. What is the remainder when q is divided by 11 + (3/3 - a)? 13 Let t(i) = -2*i - 18. Let v be t(-8). What is the remainder when 21 is divided by (-12 + 13)/(v/(-12))? 3 Let n = -32 - -42. What is the remainder when 11 is divided by n? 1 Let z = 39 + -10. What is the remainder when z is divided by 10? 9 Let j = 25 + -14. Let y(v) = 33*v + 1. Let x be y(1). Let k = x + -13. Calculate the remainder when k is divided by j. 10 Let a(b) = b**3 + 10*b**2 - 3*b - 10. Let z be 5/(6/4 - 2). What is the remainder when 58 is divided by a(z)? 18 Let p be -10 - (3 + (1 - 2)). Let z be (-2)/p - 5/(-6). Let m = z + 21. Calculate the remainder when 42 is divided by m. 20 Suppose -3*w + 40 - 127 = -4*q, -4*q - 145 = 5*w. Let b = -13 - w. What is the remainder when 62 is divided by b? 14 What is the remainder when 4/(4*4/192) is divided by 9? 3 Let c(q) = -3*q**3 - q + 2. What is the remainder when c(-2) is divided by 17? 11 Let c = 52 - 37. Calculate the remainder when 58 is divided by c. 13 Let t(g) = g**3 - 8. Let c be (-1 + (-1 - -2))/(-1). Let l be t(c). Let h = l + 14. What is the remainder when h is divided by 4? 2 Let o = -66 + 108. Calculate the remainder when o is divided by 11. 9 Calculate the remainder when 18 is divided by (5/(-15))/((-1)/21). 4 What is the remainder when (9 - (-9)/(-9)) + 58 is divided by 17/(0 - -1) - 0? 15 Let a = 2 + -2. Calculate the remainder when 34 is divided by 17 + a - (2 - 3). 16 Let x be (-4 - -1)/(3/(-2)). What is the remainder when 0 + -2 + 61 - -2 is divided by 2 + (40/x - 1)? 19 Let r(q) be the third derivative of q**5/60 - q**4/12 - q**3/3 + 2*q**2. Let b be r(-6). Suppose 0 = -2*i + b. Calculate the remainder when i is divided by 8. 7 Let i = -33 + 105. Calculate the remainder when i is divided by 19. 15 Let y(m) = 33*m**2 - m - 2. Let d be y(2). Suppose -3*w + 86 = p - 5*p, 4*w - 2*p - d = 0. Calculate the remainder when w is divided by 9. 7 Suppose 6 = 3*q - 0. Suppose -3*s - q = -35. What is the remainder when 19 is divided by s? 8 Let p = 16 + -10. Let c(z) = -2*z + 11 - 4*z + z + 4*z. Calculate the remainder when c(p) is divided by 3. 2 Let l(b) = 2*b**2 - b + 4. Let x = 5 + 0. Suppose 3*h + 20 = x*o - 14, -o + 8 = -h. Calculate the remainder when l(3) is divided by o. 4 Let o(m) = -m**2 + 6*m - 5. Let f be o(5). Let a = -153 + 216. Suppose a = 3*j - f*j. What is the remainder when j is divided by 11? 10 Let c = -1 - -1. Suppose c = -a - 3*a - 120. Let j = a + 63. Calculate the remainder when j is divided by 17. 16 Suppose -5*p = 4*a - 33 - 40, -4*p + 3*a + 46 = 0. What is the remainder when 35 is divided by p? 9 Suppose -2 - 4 = 3*r. Let h = 2 - r. Suppose 0 = h*t - 53 - 27. Calculate the remainder when t is divided by 11. 9 Let n = -46 - -66. Let a = 57 - 1. Suppose -54*x = -a*x + 116. Calculate the remainder when x is divided by n. 18 Suppose -f + 33 = 2*f + 3*a, -5*a + 10 = 0. What is the remainder when 34 is divided by f? 7 Let h be (-8)/(-12) + (-5)/3. Let m = 3 + h. What is the remainder when m is divided by 1? 0 Let n(d) = -d**2 - 12*d - 17. What is the remainder when 64 is divided by n(-7)? 10 Let n(h) = h**2 - 12*h + 21. Calculate the remainder when 17 is divided by n(11). 7 Suppose -o = -0*o - 2*v - 28, 5*o - 98 = -4*v. What is the remainder when 108 is divided by o? 20 Let d(s) = 3*s**2 + 13*s - 7. Let u(q) = -2*q**2 - 6*q + 4. Let h(k) = 3*d(k) + 5*u(k). What is the remainder when h(8) is divided by 1 + (2 - 0) - -1? 3 Let w = 24 + -16. Calculate the remainder when w is divided by 5. 3 Suppose 3*d = -d + 52. What is the remainder when 100 is divided by d? 9 Suppose 28 = l + 5*r - 0*r, -6 = -2*r. Suppose 0 = 4*w + 20*w - 1200. Calculate the remainder when w is divided by l. 11 Let s(v) = -v + 7. Calculate the remainder when s(-8) is divided by 4. 3 Let c(d) = d - 2. Let r be c(2). Suppose r*w + 3*w - 30 = 0. What is the remainder when 19 is divided by w? 9 Let t(j) = -2*j - 20. Calculate the remainder when 41 is divided by t(-17). 13 Suppose -20 = -4*h + 2*h. Suppose -k + 5 - 1 = 0. What is the remainder when h is divided by k? 2 Let r(c) = 2*c - 3. Suppose 9*m = 4*m - 2*x + 192, -124 = -3*m + x. What is the remainder when m is divided by r(12)? 19 Suppose -5*f + 3*g = 18, -13 = 3*g - 1. Let p(t) = t**2 - 4*t - 7. What is the remainder when p(f) is divided by 18? 17 Suppose 0*o = 5*o - 20. Suppose -o*w + 4 = -12. What is the remainder when 7 is divided by w? 3 Let f = -18 - -31. Suppose -2*n - 2*d = -22, 11 = 2*n + 3*d - f. Calculate the remainder when 35 is divided by n. 8 Let f be ((-1)/(-2) - 0)*42. Suppose 0 = -4*t + 43 + f. Suppose t = 3*v - 8. Calculate the remainder when 14 is divided by v. 6 Calculate the remainder when -2*4/(-16)*106 is divided by 14. 11 Let v(m) = -8*m + 1. What is the remainder when v(-3) is divided by 7 + 0/(6/2)? 4 Let z(a) = a**3 - 9*a**2 - 11*a + 14. Let r be z(10). Suppose -3*g - 2 + 14 = 3*s, 4*s = -20. What is the remainder when ((-2)/r)/(1/(-50)) is divided by g? 7 Calculate the remainder when 203 is divided by ((-82)/(-4) - 0)/(21/42). 39 Suppose 104*x = 107*x - 48. Suppose 3*v + 29 - 118 = -2*k, 3*v - k = 95. Calculate the remainder when v is divided by x. 15 Let r(h) = 6*h**3 - 1. Let l be r(1). Suppose -l*a + 55 = -0*a. Calculate the remainder when 19 is divided by a. 8 Suppose -x - 1 = 0, 0*j + 5*x = j - 46. What is the remainder when j is divided by 11? 8 Let n = 53 - 53. Let j(l) = l**3 - l**2 - 3*l**3 + 3*l**3 + 11. Calculate the remainder when j(n) is divided by 6. 5 Suppose -95 = -5*r - 5*o, 5*o = -0*r - 2*r + 38. Let v = 0 - -4. Suppose 0 = v*f - 84 - 136. Calculate the remainder when f is divided by r. 17 Let m be 12/(-42) - 970/(-14). Suppose 5*w - m = 6. Calculate the remainder when w is divided by 6. 3 Let n(i) = i**3 - 3*i**2 - 4*i + 3. Let t be n(4). Suppose t*v - 21 = -0*v. Let g(w) = w - 2. What is the remainder when 9 is divided by g(v)? 4 Let s be (4/5)/((-3)/15). Let i(k) = k**2 - k - 4. Calculate the remainder when i(s) is divided by (-20)/(-3) + 4/(-6). 4 Let v = 126 - 104. What is the remainder when 108 is divided by v? 20 Let p(v) = 3*v**3 - 2*v**2 - 1. Suppose 2*u = -0*u - 8. Let k = u - -6. Calculate the remainder when 44 is divided by p(k). 14 Let s = 59 + -52. Calculate the remainder when s is divided by 5. 2 Let h = 25 - 10. Suppose -223 = -4*y + 5. What is the remainder when y is divided by h? 12 Let o = 151 - 104. Suppose -4*v + h = 8, 4*v - 3*h = 2*h - 24. What is the remainder when o is divided by 2/(v + (-27)/(-24))? 15 Let i = -11 + 20. Let d be 6*(1 - (-6)/(-9)). Suppose -g + i = d*g. Calculate the remainder when 5 is divided by g. 2 Calculate the remainder when 3/((-9)/(-66)) + 0 is divided by 6. 4 Calculate the remainder when (6 + -7)*(-27 + -1) is divided by 12/(-66) + 224/22. 8 Suppose 32 = 2*v + 3*l - 5, -3*l + 9 = 0. Suppose -f + 37 = 33. Calculate the remainder when v is divided by f. 2 Let c be 44 + -1 + 11 + -8. Suppose -k + 12 = -c. What is the remainder when k is divided by 15? 13 Let t(x) = x**3 + 3*x**2 + x - 2. Suppose 0 = 6*g - 2*g + 8. Let a be t(g). Suppose a*q - 68 = -2*q. What is the remainder when q is divided by 12? 10 Suppose -6*p + p = m - 6, 5*m + 3*p = 52. Let y be (-14)/(-4) - (-4)/(-8). Suppose 4*f = y*f + 21. What is the remainder when f is divided by m? 10 Suppose -156 = -3*s - 18. Calculate the remainder when 49 is divided by 4 + -2 + s/2. 24 Suppose 9*d - 370 = -d. What is the remainder when d is divided by 10? 7 Let u be -3*(-7)/(42/4). Suppose -5*m + 25 = 0, -4*c + u*m - 6*m = -64. Suppose -3 = -w, 2*w + 13 - 50 = -h. Calculate the remainder when h is divided by c. 9 Let k(z) = -18*z. Calculate the remainder when k(-1) is divided by 4. 2 Let m be ((-165)/(-25))/((-2)/(-10)). What is the remainder when 2/(3/75 - 0) is divided by (m - -1)*(-4)/(-8)? 16 Calculate the remainder when 357/5 - 3*(-14)/(-105) is divided by 24.
{ "pile_set_name": "DM Mathematics" }
n divisor of 1878 and d? 6 Let p be 49/(-14) + 4136/16 + 5. Calculate the greatest common divisor of 4524 and p. 52 Let p be -2*(9/6)/(-3). Let z = 61 + -56. Suppose 0 = -4*o - z + 37. Calculate the greatest common factor of o and p. 1 Let f(b) = 73*b**2 - 77*b - 293. Let q be f(-4). Calculate the greatest common divisor of 14 and q. 7 Let a(b) = -2*b - 66. Let y(m) = 4*m + 134. Let p(u) = 7*a(u) + 4*y(u). Let h be p(-32). What is the highest common divisor of 250 and h? 10 Let h(f) = 8*f - 24. Let l be h(7). Let m(c) = -2*c**3 + c**2 + 12*c - 12. Let a be m(-6). Calculate the greatest common divisor of l and a. 32 Suppose -3*d - z = -3377, 5675 = 5*d - 116*z + 111*z. What is the highest common factor of d and 1833? 141 Suppose -3874 - 3941 = -4*o + 1513. What is the highest common factor of o and 66? 22 Suppose 4778 + 1072 = 47*x - 17*x. Calculate the greatest common factor of x and 1495. 65 Let q = -3873 + 4115. What is the greatest common divisor of q and 605? 121 Suppose -4*g - 23 = -4*r - 47, -r = 4*g + 1. Let w(n) = -n**3 - 5*n**2 - 10*n - 16. Let s be w(r). Calculate the highest common factor of 391 and s. 17 Suppose 9*i - 37740 = 6*i - 71*i. Calculate the greatest common divisor of i and 20. 10 Suppose 21262*v - 9130 = 21252*v. Calculate the greatest common divisor of 498 and v. 83 Let g be 17 + 4 + 1 + 3. Suppose -112*i = -107*i - g. Suppose -8*y + 29 = i. What is the highest common factor of y and 9? 3 Let r(l) = 22*l + 82. Let q be r(-4). Let y be (0 + q/4)/((-4)/152). What is the greatest common divisor of 19 and y? 19 Let t be 3 + -8 + (-3)/(-1). Let v be t - (-2 + 3)*-7. Suppose 3*h = -v*h + 96. What is the greatest common divisor of 24 and h? 12 Let b be (-246)/8*(-2040)/544*(-32)/(-6). Suppose q = 3*q - 30. What is the greatest common divisor of q and b? 15 Let x(a) = 75*a**2 - 17*a - 112. Let c be x(-5). What is the highest common divisor of 224 and c? 56 Let d = -21 + 30. Let w(c) be the first derivative of 5*c**2/2 - 9*c - 17. Let m be w(2). Calculate the greatest common divisor of d and m. 1 Let a = -16060 + 16102. Calculate the highest common divisor of 9723 and a. 21 Suppose 6*b + 252 = 5*w + 3*b, w - 48 = 3*b. Suppose s - 339 + w = 0. Let q = s + -168. Calculate the highest common divisor of q and 30. 30 Suppose -106*k + 228*k - 57024 = 89*k. What is the greatest common divisor of k and 84? 12 Let r(h) = h**2 - 15*h + 13357. Let c be r(0). What is the greatest common factor of c and 37? 37 Suppose -5*l = g - 2671, 0*l - 2*g + 2667 = 5*l. Suppose -28*w + l = 31. Let p = 16 + 2. What is the highest common divisor of w and p? 18 Let j(i) = 34*i**2 - 104*i - 432. Let d be j(-4). Calculate the highest common divisor of 99 and d. 33 Let l be 5650/(-226) - (0 + -57). Calculate the highest common divisor of l and 584. 8 Suppose -3*s = -12 + 3. Let k(a) = -2*a**3 + 0*a - 2 - 7*a**2 + s*a**3 + a + 0*a**3. Let y be k(8). Calculate the greatest common factor of y and 10. 10 Let x(l) = l**2 - l + 5. Let b be x(0). Let g = 502 + 5. Let u = 509 - g. What is the highest common factor of b and u? 1 Let y be (-36)/(-162) - 26546/(-18). What is the greatest common factor of 236 and y? 59 Let g(m) = -6*m**3 + m**2 - 2. Let c be g(-1). Let i(f) = 13*f**2 - 32*f + 15. Let d be i(c). Calculate the highest common factor of d and 20. 20 Let t = 12701 - 8845. Calculate the highest common factor of t and 2651. 241 Let y = 29799 - 25136. Calculate the highest common divisor of y and 1. 1 Suppose 0 = 2*f + 2*w - 92, -3*f - f + 200 = -4*w. Let g = 5312 + -5300. Calculate the highest common divisor of f and g. 12 Suppose 0 = -4*r + 2*o + 3698, -4*r - 3*o - 564 + 4257 = 0. Suppose -297 = -3*z + r. What is the highest common factor of 11 and z? 11 Suppose 0 = 169*t + 16*t + 22*t - 8694. Let p = -7 - -13. Let g be (-45)/p*(0 + -14). Calculate the greatest common divisor of t and g. 21 Suppose -43 = 54*t - 57*t + 2*n, 5*n = 3*t - 40. What is the highest common divisor of t and 245? 5 Let z(c) = c**3 + 13*c**2 + 40*c - 8. Let t be z(-11). Let q = 326 + t. What is the greatest common factor of 45 and q? 15 Let w = 31626 - 17989. What is the highest common factor of w and 13? 13 Let g be 5/3*(-7 - 14). Let s = g - -25. Let v(n) = n**2 + 8*n - 11. Let c be v(s). Calculate the highest common factor of 18 and c. 9 Let l(f) = -23*f - 179. Let i be l(-7). Let z be (22720/18 - (-4)/i) + -4. Calculate the greatest common factor of 74 and z. 74 Suppose 87*l + 141*l - 3312 - 5352 = 0. Let m be 416/1 + (2 - 0). What is the greatest common divisor of l and m? 38 Suppose 255 - 753 = -6*t. Calculate the highest common divisor of t and 1079. 83 Let u = -14 - -29. Let v be (-2)/(-13) + (20496/104)/(-7). Let w be v/(-3) - 14/(-21). What is the greatest common divisor of w and u? 5 Let l = 16896 - 16827. Let w be 92*(-3 + 0 + 4). Calculate the greatest common factor of l and w. 23 Suppose -75*b = -297934 - 46766. What is the highest common factor of 12 and b? 12 Let h = 56 - 23. Suppose -4*a = -h - 7. Suppose -2*p = -a*p + 648. Calculate the highest common divisor of 3 and p. 3 Let c(u) = 244*u**2 - 58*u + 196. Let y be c(4). Calculate the greatest common factor of y and 4. 4 Let j(i) = i**3 - 13*i**2 + 26*i - 13. Let q be j(13). Suppose -p - 2*y - y + 49 = 0, 0 = -5*p + y + q. Calculate the highest common factor of p and 160. 32 Suppose 251*f - 255*f = -4*a + 1156, 4*a - 2*f = 1156. What is the greatest common divisor of 136 and a? 17 Let s(t) = t**2 - 14*t + 13. Let v be s(13). Suppose 38*j - 35*j - 30 = v. What is the greatest common divisor of j and 55? 5 Let x(b) = 42*b + 175. Let k be x(-4). Suppose 1310 = 2*d + 2*m, 3*d - k*m - 1985 = -6*m. Calculate the highest common divisor of d and 180. 60 Let p(x) = -x - 26. Let q be p(-30). Suppose 2*c = -3*s - 20 + 133, q*s = 3*c - 161. Calculate the highest common divisor of c and 220. 55 Suppose -100*q + 4919 = 166*q - 933. Let y be (-3 - -1)*22/(-4). What is the highest common factor of y and q? 11 Let w(u) = u**2 + 9*u - 16. Let f be w(-11). Let o = 27 - f. What is the greatest common factor of 28 and o? 7 Let c = 55 + -39. Suppose -36*v + 17*v + 16112 = 0. Calculate the highest common divisor of c and v. 16 Let d(l) be the first derivative of 55*l**2 + 21. Let n be d(1). Let x = 136 - n. What is the greatest common factor of 2 and x? 2 Suppose -19*w = -4*h - 15*w + 76, w - 45 = -3*h. Suppose -3*y - 53 = -k, -3*y - 117 = -2*k - 8*y. Calculate the highest common divisor of h and k. 8 Let p be (-6 - -3) + (5 - (-10 - 31)). What is the greatest common factor of 2623 and p? 43 Let x(n) = -1685*n - 8631. Let k be x(-9). Calculate the highest common divisor of k and 6. 6 Suppose -26*r + 22*r = 2*q - 214, 3*q = -4*r + 217. What is the greatest common factor of 7228 and r? 52 Suppose 12*c + 17*c - 2945 = 28172. What is the greatest common factor of c and 116? 29 Suppose 198*d - 194*d + 5*o - 2034 = 0, -3*o + 1524 = 3*d. What is the highest common factor of d and 110? 22 Let q = -2432 - -2616. Let t(z) = 2*z + 1. Let k be t(1). Let u(n) = 4*n**2 + 3*n + 1. Let o be u(k). What is the greatest common divisor of o and q? 46 Let f(c) = 22*c**2 - 26*c - 4. Let i be f(8). What is the highest common factor of i and 520? 52 Suppose -122*f - 21 = -129*f. Let d(n) = -24*n + 95. Let s be d(f). What is the highest common factor of 23 and s? 23 Let g = 336 + -456. Let r be (g/7)/(39/(-819)). Calculate the greatest common factor of r and 40. 40 Let f = -15 + 27. Let h(n) be the first derivative of -4*n**2 - 20*n + 1. Let j be h(-4). Calculate the highest common factor of j and f. 12 Let q = 2858 - 2671. Suppose 15*y = 23*y - 440. What is the highest common factor of y and q? 11 Let d = 285 + -279. Let v be (5 - 11)/(2/(-9) + 0). Calculate the highest common factor of d and v. 3 Let y(h) = h + 1. Let s be y(5). Suppose 0 = 3*v - 8*v + 1480. Suppose -4*x + 2*o - 32 = -v, 5*o = -3*x + 198. Calculate the highest common factor of x and s. 6 Let x(n) = -7*n**2 + 225*n - 232. Let z be x(31). Calculate the greatest common divisor of 54 and z. 2 Suppose 4*z = 20, -2*d + 19 = -d + 4*z. Let r be (d + -11 - (-32)/(-16))*-2. Calculate the highest common divisor of r and 8. 4 Let h = 4826 - 857. What is the highest common factor of 49 and h? 49 Let f = -5
{ "pile_set_name": "DM Mathematics" }
+ 1)*(f + 299)/4 Solve -2*z**5 - 224*z**4 - 168*z**3 + 175284*z**2 - 1614870*z - 1790100 = 0 for z. -102, -39, -1, 15 Factor 2*a**3 + 756*a**2 - 782*a - 9096. 2*(a - 4)*(a + 3)*(a + 379) Factor -16*h**4 + 1085928*h**3 - 18425890561*h**2 + 9212741670*h - 1151584225. -(h - 33935)**2*(4*h - 1)**2 Factor 3*h**4 - 891*h**3 + 2592*h**2 + 15876*h. 3*h*(h - 294)*(h - 6)*(h + 3) Factor o**4 + 2054*o**3 + 12297*o**2 + 18432*o. o*(o + 3)**2*(o + 2048) Factor -a**2/4 - 82*a + 121329/4. -(a - 221)*(a + 549)/4 Factor -2*b**5 - 42*b**4 + 92*b**3 - 4*b**2 - 90*b + 46. -2*(b - 1)**3*(b + 1)*(b + 23) Determine q so that q**5/7 + 12018*q**4/7 + 35999757*q**3/7 - 650918916*q**2/7 + 2933522244*q/7 = 0. -6018, 0, 9 Suppose -j**4 + 23*j**3 + 633*j**2 - 4355*j + 3700 = 0. What is j? -20, 1, 5, 37 Factor -5*s**3 + 27690*s**2 - 38336805*s. -5*s*(s - 2769)**2 Determine g, given that 2*g**4/7 + 32*g**3 - 13554*g**2/7 + 30672*g - 1053216/7 = 0. -159, 12, 23 Solve n**5 - 140*n**4 + 5033*n**3 - 8962*n**2 - 20148*n + 38088 = 0 for n. -2, 2, 69 Suppose -3*d**3 + 80898*d**2 - 545373867*d = 0. What is d? 0, 13483 Suppose -3*d**2 - 705666*d + 705669 = 0. Calculate d. -235223, 1 Factor -3*o**3/5 - 1419*o**2/5 - 67704*o/5 - 853788/5. -3*(o + 26)**2*(o + 421)/5 Factor -5*o**3 - 211415*o**2 + 422845*o - 211425. -5*(o - 1)**2*(o + 42285) Determine q so that 5*q**5 + 3530*q**4 - 46885*q**3 - 107850*q**2 = 0. -719, -2, 0, 15 Factor p**3/2 + 46*p**2 - 1011*p/2 + 459. (p - 9)*(p - 1)*(p + 102)/2 Solve -u**5 + 2*u**4 + 71*u**3 - 72*u**2 = 0 for u. -8, 0, 1, 9 Factor 3*r**4 - 1545*r**3 + 22398*r**2 + 51000*r. 3*r*(r - 500)*(r - 17)*(r + 2) Solve -i**2/6 + 678*i + 742525/6 = 0. -175, 4243 Let -4*c**5 + 292*c**4 - 1116*c**3 + 812*c**2 + 1120*c - 1104 = 0. Calculate c. -1, 1, 2, 69 Solve g**3 - 154789*g**2 - 619168*g - 619172 = 0. -2, 154793 Solve 242*m**3 + 156618*m**2 - 600642*m + 574182 = 0. -651, 21/11 Suppose -w**3/3 - 16838*w**2 + 151549*w/3 - 33678 = 0. Calculate w. -50517, 1, 2 Factor 37*z**3 + 15763*z**2 + 1679079*z + 45369. (z + 213)**2*(37*z + 1) Factor 3*q**5 + 63*q**4 + 198*q**3 - 4080*q**2 - 35712*q - 82944. 3*(q - 9)*(q + 6)*(q + 8)**3 Factor -4*d**2/7 + 2896*d/7 - 53580/7. -4*(d - 705)*(d - 19)/7 Let 48*i**3/7 + 10558*i**2/7 + 20488*i/7 - 872/7 = 0. What is i? -218, -2, 1/24 Let -5*q**5 - 10*q**4 + 1285*q**3 + 2570*q**2 - 1280*q - 2560 = 0. Calculate q. -16, -2, -1, 1, 16 Factor -14*i**2/11 + 1186*i/11 - 1992/11. -2*(i - 83)*(7*i - 12)/11 Find o such that -o**2/3 + 172*o - 15561 = 0. 117, 399 Determine l so that -3*l**5 + 366*l**4 - 351*l**3 - 1464*l**2 + 1452*l = 0. -2, 0, 1, 2, 121 Factor -h**3/8 - 59*h**2/4 - 220*h + 500. -(h - 2)*(h + 20)*(h + 100)/8 Factor -13*v**2/3 + 12802*v/3 + 15776/3. -(v - 986)*(13*v + 16)/3 Determine h, given that -3*h**3 - 10782*h**2 - 10779*h = 0. -3593, -1, 0 Find t such that 53138*t**2/5 - 30644*t/5 + 4418/5 = 0. 47/163 Determine f, given that -5*f**2 - 142465*f + 854970 = 0. -28499, 6 Let 54*i**4 - 280*i**3 + 158*i**2 + 412*i - 80 = 0. What is i? -1, 5/27, 2, 4 Factor -16*m**3 + 896192*m**2 - 896180*m + 224044. -4*(m - 56011)*(2*m - 1)**2 Let j**2/5 + 146*j/5 - 9312/5 = 0. Calculate j. -194, 48 Factor -4*g**2 + 470296*g - 13823645476. -4*(g - 58787)**2 Suppose 40*k**2 + 2649755*k - 331220 = 0. What is k? -66244, 1/8 What is g in 7*g**4 + 17*g**3 - 15*g**2 - 9*g = 0? -3, -3/7, 0, 1 Factor 3*t**3/4 + 9489*t**2 + 30013707*t. 3*t*(t + 6326)**2/4 Factor -5*h**2 - 5450*h + 116655. -5*(h - 21)*(h + 1111) Factor -4*f**3 - 10436*f**2 - 6770208*f + 47904192. -4*(f - 7)*(f + 1308)**2 Factor -p**2 - 80*p/7 - 225/7. -(p + 5)*(7*p + 45)/7 Let 2*z**3 + 18*z**2 - 248*z + 408 = 0. What is z? -17, 2, 6 Determine t so that -3*t**3 - 21819*t**2 - 39639648*t + 119115396 = 0. -3638, 3 Find g, given that -g**3/2 + 213*g**2/2 - 12051*g/2 + 205335/2 = 0. 39, 135 Let -7*f**4/2 + 513*f**3/4 - 2661*f**2/2 + 18305*f/4 - 4851/2 = 0. What is f? 9/14, 7, 22 Suppose -2*o**4/5 - 4456*o**3/5 + 6*o**2/5 + 13364*o/5 - 8912/5 = 0. Calculate o. -2228, -2, 1 Suppose -2*s**3/7 - 8074*s**2/7 + 8080*s/7 + 16152/7 = 0. What is s? -4038, -1, 2 Solve -c**3/7 - 221*c**2/7 - 11639*c/7 + 63845/7 = 0. -113, 5 Let q**2/4 - 132187*q/4 + 66093/2 = 0. What is q? 1, 132186 Find g, given that g**3 - 4094*g**2 + 8181*g + 12276 = 0. -1, 3, 4092 Factor 2*t**3/11 - 6*t**2/11 - 4044*t/11 + 368. 2*(t - 46)*(t - 1)*(t + 44)/11 Find n such that n**2 - 16644*n = 0. 0, 16644 Factor 4*x**4 - 16332*x**3 - 16*x**2 + 65328*x. 4*x*(x - 4083)*(x - 2)*(x + 2) Factor -a**5 - 186*a**4 - 680*a**3 + 39350*a**2 - 246375*a + 452500. -(a - 5)**3*(a + 20)*(a + 181) Suppose 8*u**3/7 + 446*u**2/7 - 115638*u/7 - 86976/7 = 0. What is u? -151, -3/4, 96 Factor u**2/3 + 135*u + 404/3. (u + 1)*(u + 404)/3 Find j, given that 2*j**2/21 + 88*j/3 = 0. -308, 0 Let -c**2/9 + 170*c - 7625/9 = 0. Calculate c. 5, 1525 Find j, given that -9*j**2/7 - 87000*j - 405996/7 = 0. -67666, -2/3 Suppose -2*x**3 - 1348*x**2 - 116688*x = 0. Calculate x. -572, -102, 0 Factor j**3/4 - 125*j**2 - 50983*j/4 - 25241/2. (j - 587)*(j + 1)*(j + 86)/4 Solve 8965*b**4 + 164465*b**3 - 114685*b**2 - 59885*b + 1140 = 0 for b. -19, -4/11, 3/163, 1 Factor -b**2/2 - 34867*b/2 - 17433. -(b + 1)*(b + 34866)/2 Let 5*h**5 - 13430*h**4 + 9018240*h**3 + 13430*h**2 - 9018245*h = 0. Calculate h. -1, 0, 1, 1343 Solve -v**4 - 152*v**3 - 881*v**2 - 730*v = 0. -146, -5, -1, 0 Suppose 2*b**3/3 - 13850*b**2/3 = 0. Calculate b. 0, 6925 Factor -3*u**4 - 1611*u**3 - 94470*u**2. -3*u**2*(u + 67)*(u + 470) Suppose 22*w**5/3 + 26*w**4/3 - 4352*w**3/3 - 24904*w**2/3 - 35360*w/3 - 5632/3 = 0. Calculate w. -11, -4, -2, -2/11, 16 Find y, given that -y**4/12 + 23*y**3/2 + 522*y**2 = 0. -36, 0, 174 Factor -a**3/3 + 347*a**2 - 2078*a/3. -a*(a - 1039)*(a - 2)/3 Determine t, given that -17*t**2/4 + 4587*t/4 + 405/2 = 0. -3/17, 270 Let t**2/5 - 3724*t/5 + 3719 = 0. What is t? 5, 3719 Suppose 2*a**3/23 - 2138*a**2/23 - 1504*a - 138880/23 = 0. Calculate a. -8, 1085 Let 2*c**5/19 - 74*c**4/19 - 448*c**3/19 + 1176*c**2/19 = 0. Calculate c. -7, 0, 2, 42 Suppose 3*c**2 + 2770*c - 4625 = 0. Calculate c. -925, 5/3 Find p such that -2*p**4 + 56*p**3 + 1326*p**2 + 3556*p + 2288 = 0. -13, -2, -1, 44 Find l, given that l**4/5 - 3222*l**3/5 + 3604941*l**2/5 - 325299564*l + 50966627220 = 0. 426, 1185 Factor 65*u**2/6 + 635*u - 11200/3. 5*(u + 64)*(13*u - 70)/6 Suppose -2*v**5/15 - 414*v**4/5 - 35332*v**3/15 + 25216*v**2/5 = 0. Calculate v. -591, -32, 0, 2 Solve -4*i**5 + 25220*i**4 - 39689932*i**3 - 198878596*i**2 - 318427840*i - 159264400 = 0 for i. -2, -1, 3155 Solve 3*o**3/2 + 975*o**2 - 1959*o/2 - 1953 = 0 for o. -651, -1, 2 Let 3*v**2 - 182598*v + 547767 = 0. What is v? 3, 60863 Find i such that -2*i**2/13 + 10586*i/13 - 1628 = 0. 2, 5291 Factor -5*q**2 + 9009285*q - 9009280. -5*(q - 1801856)*(q - 1) Let 5*l**5 - 835*l**4 + 27270*l**3 - 25610*l**2 - 27275*l + 26445 = 0. What is l? -1, 1, 43, 123 Factor t**3/5 - 554*t**2/5 - 154656*t/5 - 1796256. (t - 770)*(t + 108)**2/5 Find n, given that 3*n**5/4 + 42*n**4 + 2241*n**3/4 - 864*n**2 - 3645*n = 0. -30, -27, -2, 0, 3 Factor -h**2/2 + 799434*h/5 + 319774/5. -(h - 319774)*(5*h + 2)/10 Factor -4*f**2 - 39772*f + 159152. -4*(f - 4)*(f + 9947) Find z, given that 3*z**4/4 - 45*z**3 + 72*z**2 + 852*z + 1044 = 0. -2, 6, 58 Let -u**3/4 - 324*u**2 - 288069*u/4 - 8872237/2 = 0. What is u? -1034, -131 Find b such that 2*b**4/11 - 2*b**3/11 - 1264*b**2/11 - 1224*b/11 + 7488/11 = 0. -24, -3, 2, 26 Factor 7*q**4/3 + 101*q**3 - 1594*q**2/3 - 160*q. q*(q - 5)*(q + 48)*(7*q + 2)/3 Let 3*r**5/4 - 2805*r**4/4 + 40275*r**3 - 793500*r**2 + 5250000*r = 0. What is r? 0, 20, 875 Suppose m**5/5 - 288*m**4/5 - 5186*m**3/5 + 288*m**2/5 + 1037*m = 0. Calculate m. -17, -1, 0, 1, 305 What is s in 3*s**5 + 12*s**4 - 18*s**3 - 12*s**2 + 15*s = 0? -5, -1, 0, 1 Factor 95*p**2 - 1720*p - 3820. 5*(p + 2)*(19*p - 382) Factor 205*p**3/2 + 533415*p**2/2 + 346996215*p/2 + 8463005/2. 5*(p + 1301)**2*(41*p + 1)/2 Solve 2*j**3 - 676*j**2 + 57792*j - 112896 = 0. 2, 168 Solve -i**3 + 215*i**2 + 5214*i = 0. -22, 0, 237 Factor -3*u**4 + 42*u**3 - 57*u**2 - 630*u. -3*u*(u - 10)*(u - 7)*(u + 3) What is v in 2*v**5 + 800*v**4 + 3948*v**3 - 800*v**2 - 3950*v = 0? -395, -5, -1, 0, 1 Factor 2*k**4 + 540*k*
{ "pile_set_name": "DM Mathematics" }
b(n) = 6*n - 13. Let h(x) = -2*a(x) + 5*b(x). What is the units digit of h(r)? 5 Suppose 31 = -4*j - 121. Let t be (-4)/(-14) - j/14. Suppose 4*p - t*p - 1 = 0. What is the units digit of p? 1 Let x(k) = -8*k - 29. Suppose -4*n - 3*u = 42, 51 = -5*n - 2*u - u. What is the tens digit of x(n)? 4 Let n(u) = -u**3 + 6*u**2 - 5*u + 1. Let g be 3/(-2)*16/(-6). Let m be n(g). Suppose 10 = v - m. What is the units digit of v? 3 Let k(l) = -46*l + 7. What is the hundreds digit of k(-17)? 7 Let s = 134 - -886. What is the thousands digit of s? 1 Suppose 2*t + 0*t = 2. Suppose -4*l + 5*n + 16 = 0, l - 3 - t = 4*n. Suppose 3*z = 3*x + 36, l*z - 3*x + x - 52 = 0. What is the units digit of z? 4 Let b(w) be the second derivative of -33*w**3/2 + 3*w**2/2 - w. What is the units digit of b(-1)? 2 Suppose -5*k = -2 - 53. Suppose 65 - 296 = -k*h. What is the tens digit of h? 2 Suppose i = 3*i - 4. Suppose -10 = i*d + 20. Let q = d - -28. What is the units digit of q? 3 What is the tens digit of (5 - 2)*(-125)/(-15)? 2 What is the units digit of 20/45 - (-20)/(-72)*-6986? 1 Let t(j) = 58*j**2 + 9*j - 7. What is the units digit of t(3)? 2 Suppose 35 = s - 40. Let p = s - 53. What is the tens digit of p? 2 Suppose -6 = -d - 0*d. Let g(t) = t**2 + 8*t + 4. What is the tens digit of g(d)? 8 Let a be 10/4 + 4/(-8). Suppose -i + a = -3*i + 5*k, k - 2 = 2*i. What is the tens digit of (-4 + 4 + i)*-11? 1 Let w(p) = 3*p**2 + 2*p. Let c be w(-2). Let r(n) = n**3 - 6*n**2 - 6*n + 11. What is the tens digit of r(c)? 9 Let y(w) be the third derivative of 2/3*w**3 - 1/4*w**4 + 0 + 8*w**2 + 0*w. What is the units digit of y(-3)? 2 What is the hundreds digit of ((-13976856)/(-378))/19 - (-4)/(-42)? 9 Let f(a) = -a**3 - 19*a**2 + 37*a + 10. What is the units digit of f(-21)? 5 Suppose -8*w - 6 = -10*w. Suppose -5*z + 26 = w*t, t + 2*t + 37 = 4*z. Let m = z - 6. What is the units digit of m? 1 Let s be (5 - 2/1) + 73. Suppose -5*d + 110 = 5*x, -4*d + s = -0*d - 2*x. What is the units digit of 135/6*16/d? 8 Let y(g) = -8*g**2 + 4*g + 101. What is the units digit of y(0)? 1 Suppose -3*a + 2*b - 17 = 4*b, 3*a = -b - 19. Let g(t) = -t**3 - 5*t**2 - 5*t - 24. What is the tens digit of g(a)? 0 Let b(i) = i**3 - 3*i**2 + 2. Suppose 5*t = 2*t + 9. Let q be b(t). What is the units digit of (-3)/6*q - -12? 1 Let u(l) be the first derivative of -1 - 6*l - 3/2*l**2. What is the units digit of u(-6)? 2 What is the hundreds digit of (-2 + 0 - -3)*(261 - 3)? 2 Suppose -579 - 1344 = -3*d. What is the hundreds digit of d? 6 What is the hundreds digit of 226/(-1 - 12/(-8))? 4 Let r(q) = -q**3 - 6*q**2 + 2*q - 10. Let p be r(-6). Let y = p - -25. Suppose -106 = -3*t + y*f + 41, 151 = 4*t + 5*f. What is the tens digit of t? 4 Let c be (-5)/10 - (-5)/2. Suppose 4*f + 43 - 11 = 4*y, -2*f + 4 = c*y. Suppose 3*p + 4*v - 35 = 2*p, v = y*p - 70. What is the tens digit of p? 1 Let z be (10 - (4 + -5))*57. Suppose 0*a - 178 = -s - 3*a, -5*a - z = -4*s. What is the tens digit of s? 6 Let w(p) = p - 14. Let k be w(16). Suppose -i + 2 + k = 0. What is the units digit of i? 4 Let d(t) = -2*t + 2. Let i be d(-1). Suppose -2*y - 7*g = -i*g - 72, 3*y + 3*g = 102. What is the tens digit of y? 3 Suppose 0*f = -3*l + 3*f + 1593, 1056 = 2*l - 5*f. What is the tens digit of l? 3 Suppose -3*g = 5 + 7, 2*i - 3*g + 84 = 0. What is the tens digit of (i/(-21))/8 - 2740/(-14)? 9 Let y = 115 + -113. What is the units digit of (-1*8/12)/(y/(-57))? 9 Suppose r + 4 = -0*r + 5*q, 0 = -r + 3*q - 12. What is the tens digit of 1/(-1 + 2) + r/(-1)? 2 Let n(j) = -5*j - 27. Let f be n(-4). Let m(w) = w**3 + 8*w**2 - w - 1. What is the units digit of m(f)? 5 Let p = -25 - -349. Suppose 361 = 4*m + 5*j, -4*j - p = -3*m - 92. What is the units digit of m? 4 What is the thousands digit of (381 - 42)/(1/5)? 1 Let g be 14/28 + (-1582)/4. Let d = g + 670. Suppose o + 3*p = 5*o - d, -265 = -4*o + p. What is the units digit of o? 5 Let i(m) = 3*m + 91. What is the tens digit of i(8)? 1 Let s(g) = -5*g. Let f be s(-2). Let q(r) = r**3 - 3*r**2 + 2*r - 5. Let p be q(3). What is the units digit of f + 19 + (p - -1)? 1 What is the hundreds digit of (-1168)/(-6) - (1 + (-16)/(-24))? 1 Let i = -1 + 1. Suppose -5*h - 2*b + 65 = i, 2*h + 5*b + 3 = 8. Suppose h + 90 = 5*t. What is the tens digit of t? 2 Suppose 0 = -3*g - 3*r - 135, 4*g + 4*r + r = -176. What is the tens digit of -4*(g/12 - 8/12)? 1 Suppose -18*l + 892 = -368. What is the units digit of l? 0 Suppose 713 = 3*w + 2*y - 817, -3*y = -4*w + 2057. What is the hundreds digit of w? 5 Let q be 0/2 - 54/(-1). Let k(x) = x**2 - 15*x + 56. Let s be k(8). Suppose -3*h = -5*m - s*h + 95, 4*m + 2*h - q = 0. What is the tens digit of m? 1 Suppose -3*w + 5 = -4. What is the units digit of 10/15 - (-46)/w? 6 Suppose 90 = -d + 4*d. What is the tens digit of (d/(-20))/(((-3)/10)/3)? 1 Suppose -30 = -5*p - 4*f, -4*f = -9*f. What is the units digit of (-294)/(-15) - (p/(-15))/1? 0 Let d(f) = -4*f**2 + 53*f - 2. What is the units digit of d(12)? 8 Let i be ((-12)/36)/((-2)/(-42)). What is the units digit of (1 - 3) + (-268)/(3 + i)? 5 Let n(s) be the second derivative of s**4/3 + s**3/3 - 5*s**2/2 + 7*s. What is the units digit of n(-3)? 5 Suppose 2*z - 4 = -8, 5*a - 3*z = 3586. What is the tens digit of a? 1 Let d(n) = 135*n + 214. What is the thousands digit of d(7)? 1 Suppose 11 + 14 = 5*b. Suppose -b*a - 93 = -6*a. What is the tens digit of a? 9 Let s(u) = u**2 - 18*u - 14. Let i be s(19). What is the tens digit of ((-71)/i)/((-2)/10)? 7 Let h(t) = 426*t - 244. What is the units digit of h(4)? 0 Let a(u) = u**2 + 3*u - 2. Let l(i) = i**3 + 4*i**2 - i + 1. Let z be l(-4). Let h be a(z). Suppose -5*s + h = -3*s. What is the tens digit of s? 1 What is the tens digit of 44/(-6)*309/(-2)? 3 Let j(h) = 2*h**2 + 8*h + 8. What is the units digit of j(-14)? 8 Let n(b) = b**3 - 10*b**2 - 2*b - 6. Let k be n(9). What is the tens digit of (14/(-5))/(7/k)? 4 What is the thousands digit of (-6)/4 - (23 + (-299286)/52)? 5 Let o(q) = 6*q - 4. Let f be o(5). Suppose 0 = -207*b + 197*b + 10. What is the units digit of (12/8)/(b/f)? 9 Suppose 0 = 2*w + 2*o - 24, -o + 42 = 2*w + w. Suppose -w = 4*z - 579. Suppose 39 - z = -4*h - 5*j, 3*j - 50 = -2*h. What is the tens digit of h? 2 Let t = 0 - -5. Let j(d) = -t - 4*d - 1 - 2*d. What is the tens digit of j(-4)? 1 Suppose 2*m + 5*p - 2092 = m, 8299 = 4*m - 3*p. Suppose m - 361 = 12*u. What is the hundreds digit of u? 1 Suppose -2*f - 10 = -6*f + 2*d, 2*f + 2*d + 4 = 0. What is the units digit of f? 1 Suppose 0 = -2*w - 2 + 4. Let k be (-1 - 0) + 3/w. Let l(m) = 2*m**3 - 2*m - 1. What is the tens digit of l(k)? 1 Suppose -152 = -4*j + y, y - 189 = -5*j + 2*y. Let m(b) = -b**2 - 6*b + 4. Let p be m(-4). Let a = j - p. What is the tens digit of a? 2 Suppose 2*s = -4, -11*s = -5*w - 16*s + 4255. What is the units digit of w? 3 Let d(r) = -2*r**3 - 12*r**2 - 6*r - 11. Suppose -h - 25 = 4*x, -5*x - 4*h - 35 = h. What is the tens digit of d(x)? 2 Let o(k) = 3*k + 7. Let n(q) = -q**3 + 4*q**2 + 2*q - 2. Let p be n(5). Let l be p/(-5) + (-2)/5. What is the units digit of o(l)? 6 Suppose 5*w = 3*a - 32, -58 = -4*a - w - 0*w. What is the units digit of (-18)/63 - (-1558)/a? 1 Let b be (-2)/6 - 1840/(-12). Suppose 0 = 2*t + 4*c - 82, 4*t = c + 2*c + b. What is the units digit of t? 9 Suppose 2*c + 3*i - 2727 = 0, -4*c = -9*c + 5*i + 6805. What is the hundreds digit of c? 3 Let m = -15 + 15. Suppose -4*c - 124 = -2*o + 70, 5*c - o + 244 = m. What is the tens digit of (-103)/(-7) + (-14)/c? 1 Let w(r) = -29*r**3 + 4*r**2 + 5*r + 11. What is the hundreds digit of w(-3)? 8 Let y(t) = -t**2 - 14*t - 18. Let s be y(-13). What is the hundreds digit of 5 - (s/1 - 119)? 1 Suppose -2*l + 0*l = -1020. Suppose l = -4*n + 6*n. What is the units digit of (4/12)/(5/n)? 7 Suppose 6*p + 385 - 1159 = 0. What is the hundreds digit of p? 1 Suppose -19*a + 23*a = 196. Let m = -36 + a. What is the tens digit of m? 1 Let h(v) = v**3 - 8*v**2 + 5*v - 1. Let o be h(7). Let r be o/(-2)*(-22)/33. Let x = r + 9. What is the units digit of x? 4 Suppose 9760 = 769*y - 759*y. What is the tens digit of y? 7 Let l = 14 - 5. Suppose g - 9 = -g + y, -3*y - l = 0. What is the units digit of 19/g - 12/(-18)? 7 What is th
{ "pile_set_name": "DM Mathematics" }
1, 8 = 4*x - 2*n for x. 0 Solve -5*i - 24 = -5*s - 44, 3*i = -3*s + 12 for s. 0 Solve -2*u = h + 4 + 3, 3*h + 4*u = -15 for h. -1 Solve -2*z - 23*f - 13 = -24*f, 27 = -2*z + 3*f for z. -3 Solve -42*w + 37*w + 4*h = -20, -5*w - 4*h = -20 for w. 4 Solve -5*q - 4*h + 7 = 0, -391*q = -395*q - 3*h + 6 for q. 3 Solve 0 = 3*j + 5*k - 8*k - 21, 0 = -4*k - 16 for j. 3 Solve 4*y - h + 5*h - 36 = 0, 0 = 3*y - 5*h + 5 for y. 5 Solve 2*w + 14 = -2*i, 2*w + 9*i = 10*i + 1 for w. -2 Solve -2*l - 24 = -5*l - 3*k, 2*k = -5*l + 31 for l. 5 Solve 5*n - 3*r - 15 = 2*n, -4*n + 14 = -r for n. 3 Solve -4*p = 5*g + 9, -p + g + 21 = 3*p for p. 4 Solve -p - p = 5*x + 20, -5*x = 5*p + 35 for p. -5 Solve 5*s - 10*s + 17 = 3*q, 0 = -2*q + 8 for s. 1 Solve 33 = -4*s + 5*b, 11 = -3*s - 0*b + b for s. -2 Solve 4*g - 6 = -3*c - 13, -15 = c - 5*g for c. -5 Solve -18*t + 2 = 5*c - 19*t, 4*t - 7 = 5*c for c. 1 Solve -2*c = o - 11, -8*c + 5 = -o - 6*c for o. 3 Solve n = 5*q - 14 - 1, 0 = -5*n - 5*q - 15 for n. -5 Solve 33 = -4*s + 4*m - 9*m, 4*m + 12 = 4*s for s. -2 Solve 3*w = 4*s + 4, -5*s = -s + w + 20 for s. -4 Solve -4*t - 8 = 4*p, -2*p = t + 8 - 3 for p. -3 Solve 2*v + 2*f = 14, 27 = v + 5*f - 0*f for v. 2 Solve -b = -2*x - 7, -6*x = b - 9*x - 10 for b. 1 Solve -j - 4*u - 9 = 0, -66 + 52 = 2*j + 4*u for j. -5 Solve 82*p - 2 = 83*p - r, -3*p = 4*r - 1 for p. -1 Solve -3*z = q - 9, -10*q = -8*q - 3*z for q. 3 Solve 5*s - 15 = -4*x + 3, -2*s - 2*x + 8 = 0 for s. 2 Solve m + f + 5 = 0, 2*m - 10 = -11*f + 14*f for m. -1 Solve 2*q = -6, 16*q = -5*j + 18*q - 14 for j. -4 Solve -5 = 2*q + f, 2*q - 2*f + 5 + 15 = 0 for q. -5 Solve c + 353*g - 349*g - 9 = 0, 5*c = -5*g + 15 for c. 1 Solve -3*p = 15, -f = -5*p + 3*p - 11 for f. 1 Solve 3*f - 2*c - 38 = -62, 0 = -5*c + 30 for f. -4 Solve 6*r + 30 = -3*j, 22 = -4*r - j + 2 for r. -5 Solve -7 = -p + 2*o, 4 = 87*p - 85*p - 2*o for p. -3 Solve 3*a - 3*z = -9, 2*a + 2*z = 6 - 16 for a. -4 Solve m - 2 = -m - 4*q, 3 = -5*m - 2*q for m. -1 Solve 0 = 5*w - 2*g - 28, 6*w - 4*w + 3*g + 4 = 0 for w. 4 Solve 0 = -5*c + 15, 0 = 3*j + 2*c + 25 - 43 for j. 4 Solve 0 = 2*w + 4*g + 24, 4*g = 3*w + w for w. -4 Solve 2*h + 4*q = 5*q + 5, -h - q - 2 = 0 for h. 1 Solve 4*m - 16 = 0, -2*h + m = 4*m - 8 for h. -2 Solve 2*s = 2*c + 8, 2*c + s - 6 = -2 for c. 0 Solve -2928*u + 31 = -2923*u + 2*f, 21 = 3*u + 2*f for u. 5 Solve -209*q + w - 19 = -205*q, -5 = -4*q - 7*w for q. -4 Solve -13*w = -16*w - d + 11, -4*w + 23 = 3*d for w. 2 Solve 2*f + 16 = -5*z, -4*z + 1 = 2*f - 5*f for z. -2 Solve -4*o - 31 + 7 = -4*v, o + 22 = 5*v for v. 4 Solve 0 = -y - 3*y + 8, -4*l + 2*y - 20 = 0 for l. -4 Solve 2*q - 3*w - 17 = q, 4*w = 4*q - 28 for q. 2 Solve 0 = 5*i - 5*b + 40, -18*i + 13*i = -2*b + 28 for i. -4 Solve 0 = 2*o - 2*a + 2, -126 = -o - 2*a - 121 for o. 1 Solve z - 2*k + 9 = 14, z + 30 = -5*k for z. -5 Solve 4*r - 16 = 5*p - 57, -p + 1 = r for p. 5 Solve 0 = -2*s - 5*z - 28, 179*s - z = 178*s for s. -4 Solve -3*p = -b + 8, -5*p + 4*b - 3*b = 16 for p. -4 Solve -9 = 2*i - 36*b + 41*b, 4*i + 3*b + 11 = 0 for i. -2 Solve 0 = -4*y + 3*f - 8*f + 37, 26 = 2*y + 4*f for y. 3 Solve 2*d - 14 = -58*t + 55*t, -3*d + t - 12 = 0 for d. -2 Solve 4*w + 58*r + 33 = 53*r, 0 = 4*w + 2*r + 18 for w. -2 Solve b - n + 4 = 0, 89*n - 27 = 5*b + 91*n for b. -5 Solve 12 = 3*z + j, 0 = 2*z + 4*j - 0 - 8 for z. 4 Solve 0 = -x + 5, -2*i + 5*x = -6*i + 45 for i. 5 Solve 0 = 4*t, -2*q + 3*t - 4 = -12 for q. 4 Solve 2*u + 15 = 3*m, 4 + 6 = 3*u + 2*m for u. 0 Solve -2*p = 3*v + 25, -v + 3*p = v - 5 for v. -5 Solve 3*j = 5*r + 4 - 6, -4*j = 5*r - 9 for j. 1 Solve 5*k - 4*l = 1, -5*k + l - 5 = -2*k for k. -3 Solve 3*q = 0, 4*q - 128 = -2*v - 124 for v. 2 Solve 4*a - l - 1 = 5*a, -5*a + 3*l - 37 = 0 for a. -5 Solve 16 = v + 4*t, 3*t = 15*v - 18*v + 12 for v. 0 Solve 4*d - 4*y = 48, -14*d = -11*d - 2*y - 31 for d. 7 Solve 0 = 2*c - 4*c + q - 11, 2*c = -5*q + 19 for c. -3 Solve 2*h + 3 = -5, -12 = -4*d - 2*h for d. 5 Solve -o = 2*y - 2*o, 5*y = -2*o - 18 for y. -2 Solve -2*z = -5*w - 3, -4*z + w + 6 + 9 = 0 for z. 4 Solve 2*a = 4*f + f + 15, 0 = -5*f + a - 15 for f. -3 Solve -13 = 4*q + 2*j + 1, 4*j - 22 = 2*q for q. -5 Solve 0 = p + h - 2 + 9, 0 = -2*h - 4 for p. -5 Solve -5*t = -4*k - 7, 4*k - 6*t + 7*t + 13 = 0 for k. -3 Solve 2*s + 14 = -0*l + 2*l, -l = 5*s + 5 for l. 5 Solve -18*p + 16*p - 5*r = -23, p - 4*r = -8 for p. 4 Solve 10*g = 11*g + 5*b + 6, 3*g + 3*b - 6 = 0 for g. 4 Solve -3*d = 5*t + 12, 8*d + 2*t + 1 = 3*d for d. 1 Solve -5*l + 10*l = 0, -5*v + 15 = -3*l for v. 3 Solve -24*i + 25*i = 2*y + 3, -i + y = 0 for i. -3 Solve 4*d + 2*a + 4 = 0, 671*a + 11 = 3*d + 676*a for d. -3 Solve -17*s + 16*s - 3*j = 14, -j - 8 = -3*s for s. 1 Solve 0 = 3*d - u - 13, 11*d = 9*d - u - 3 for d. 2 Solve 4*w - 24 = 2*k, -5*w + 8 = -12 for k. -4 Solve 4*l + 3*q - 6*q + 6 = 0, -20 = 4*l + 4*q for l. -3 Solve 3*p = 10*x + 20, 4*x + 8*p + 8 = 4*p for x. -2 Solve 2*r - 17 = -4*f + 1, 0 = -5*f - 2*r + 23 for f. 5 Solve -5*n + 5*i - 4 - 1 = 0, i + 15 = 5*n for n. 4 Solve 0 = -5*a - 6*r + r + 20, -2*a - 5*r = -20 for a. 0 Solve 0 = -c + l + 2, c + 13 = -2*l for c. -3 Solve -o + 4*b = -143 + 125, 4*o = b + 12 for o. 2 Solve -25*o - 1 = -26*o + 4*k, k = -5*o + 47 for o. 9 Solve 2*x = -2*a + 8, 3*a = -0*a + 3*x + 6 for a. 3 Solve 4*z - 10 = 2*y, 2*z - 3*y - 4 = -y for z. 3 Solve -l - 3*q + 40 - 47 = 0, -3*l - 5*q - 9 = 0 for l. 2 Solve -3*b + 8 = -2*d, -4*b + 4 = -b + 2*d for b. 2 Solve k = -5, -22*k - 7 = 4*r - 19*k for r. 2 Solve -4*h + 4*y + 8 = 0, -5*h + 19 - 3 = -3*y for h. 5 Solve -5*d - 4 = k + k, -5*d + 8 = -4*k for d. 0 Solve 0 = 2*s + r - 10, 4*s - 3*r + 3 = s for s. 3 Solve -3*x + 2*f + 0 - 2 = 0, -3*f - 12 = 3*x for x. -2 Solve -5*h - 4*m - 5 = 0, 4*m - 10 + 6 = 4*h for h. -1 Solve -5*c + 15 = 2*o, 9*o - 5*c = 5*o - 45 for o. -5 Solve 5*b - 7*b = a - 12, -5*b = a - 24 for a. 4 Solve -2*i = -4*w + 3*i + 13, -3*i - 12 = -3*w for w. 7 Solve v + 5*o + 8 = -2, -v - 2*o = 4 for v. 0 Solve -f - 2*m + 10 = 0, -83*f - 5 = -79*f - m for f. 0 Solve -4*s - 5*m = -72 + 42, -s + 7 = m for s. 5 Solve 8 = 5*b - o, -2*b - 12*o = -17*o - 17 for b. 1 Solve 5*r + s = 23, 5*r - s = -0*s + 17 for r. 4 Solve 3*h = -2*z + 6*h - 6, -4*z - 12 = 5*h for z. -3 Solve n + 4*m + 32 = 5, -2*m = -3*n + 17 for n. 1 Solve -3*h = -2*w + 13, 19*h = -5*w + 23*h + 22 for w. 2 Solve 0 = -2*x + 8, 2*k + 2*x - 27 = -23 for k. -2 Solve -5*r - i - 3 = -0, -4*i = 5*r + 12 for r. 0 Solve -4*r - 26 = 2*v, 6*v + 27 = 3*v - 3*r for v. -5 Solve 4*b + p + 13 = 0, -68 = -4*b - 5*p - 69 for b. -4 Solve 0 = -g, 5*u - 5 = 4*u + 5*g for u. 5 Solve a = 5*z - 10, 0*a - 4*a = 3*z + 17 for z. 1 Solve 25 = -4*p + 5*o + 1, 5*p + 25 = 5*o for p. -1 Solve 4*x = 78*l - 73*l + 17, 1 = -l for x. 3 Solve 3*y = -5*b + b + 4, -3*y - 12 = 0 for b. 4 Solve 5*q - x - 4 - 5 = 0, -3*q + 9 = 3*x for q. 2 Solve 0 = -b - 5*k, 4*b + 5*k - 4*k = 0 for b. 0 Solve 0 = h, 6*h + 5 = -5*i + h for i. -1 Solve 3*x = -12, -o - x + 0 - 6 = 0 for o. -2 Solve 0*z = 5*k + z, -3*z + 20 = -5*k for k. -1 Solve -d - 4*j = 19, -3*j + 12 = -5*d + 2*d for d. -7 Solve 3*y = 2*o - 19, 4*y = -2*o + 16 - 32 for y. -5 Solve -r = -38 + 43, 0 = -3*n + 5*r + 37 for n. 4 Solve u = 4*p - 23, 0 = 402*p - 398*p + u - 17 for p. 5 Solve -2*i + 3*p - 5 = 0, -2*i = -3*i - p for i. -1 Solve h - 4*p = 3, h - 3*h - 20 = 5*p for h. -5 Solve -4*i - 17 = -3*j, 3*j + 23 = -5*i + i for j. -1 Solve -16 = 2*m + 3*i, -m - 4*i + 3*i - 6 = 0 for m. -2 Solve 3*m + 5*a - 9 = 0, -4*a - 4 = 3*m - 16 for m. 8 Solve -y = -2*g - 10, 494*y + 5*g = 499*y - 25 for y. 0 Solve 3*s + 2*h = -23, -11*s + 12*s + 9 = -h for s. -5 Solve -2*t + 3*t - 5*a = -22, -2*t + 5*a - 24 = 0 for t. -2 Solve 4*a + 22 = -2*w, 0 = -3*a + a - 10 for w. -1 Solve 4*l = -b + 3*l + 3, -13 = -2*b + 5*l for b. 4 Solve -k - 12 - 11 = -4*l, -k + 2*l - 13 = 0 for k. -3 Solve -l - 8 = d, -4 = 3*l + 5*d + 28 for l. -4 Solve 12 = -5*t + p + 41, -2*p + 17 = 5*t for t. 5 Solve -3*i + u + 3 = -3, 4*i + 3*u + 5 = 0 for i. 1 Solve 5*z - 15*v = -14*v + 10, 0 = 5*v for z. 2 Solve 0 = 2*x - 3*u + 7, 68*u - 17 = 4*x + 65*u for x. -5 Solve -5*a + 19 = -u + 5, 0 = 4*a + 5*u - 17 for a. 3 Solve -2*a + i = -9, -8*a + 5*a = -5*i - 31 for a. 2 Solve -3*r = x - 40 + 24, 5*x = 2*r + 12 for
{ "pile_set_name": "DM Mathematics" }
s - 20. Solve s + 0 = w for w. 5 Let a = 1 + -4. Let x be (-21)/(-3) - 3/a. Solve -x = 3*y - y for y. -4 Let p(y) = -y**2 - 6*y - 4. Let i = -1 + -3. Let g be p(i). Solve 0 = g*f - 7*f - 6 for f. -2 Let j(x) = x - 2. Let u be j(6). Suppose w - 5 = -0*w. Suppose -w*d + 3*d = -12. Solve -d - u = 5*a for a. -2 Let u(d) = -d**3 + 16*d**2 + 3. Let i(l) = 2*l**3 - 31*l**2 - 5. Let k(v) = 4*i(v) + 7*u(v). Let y be k(12). Solve -y + 0 = -m for m. 1 Let o(r) = -r**3 + 3*r**2 + 1. Let m be o(3). Let c = 10 + -6. Solve c*g + m = 5 for g. 1 Let l(b) = -14*b**3 - 2*b**2 - 38*b - 27. Let g(f) = 5*f**3 + f**2 + 13*f + 9. Let c(k) = -17*g(k) - 6*l(k). Let t be c(-6). Solve t*i = -0*i - 3 for i. -1 Suppose -16 = 2*m + 4*j, -4*j - 6 - 10 = -m. Solve 2*r + 0 + 2 = m for r. -1 Let n(g) = g**3 + 4*g**2 + 3*g + 9. Let z be n(-4). Let y = z - -7. Solve -s = -y - 1 for s. 5 Let l be 3*(-3 + 33/9). Suppose 2*y - l*j - 8 = 0, -y + 2*j = 3*j + 4. Suppose 0 = 5*n - c - 42, 2*n - 5*n + 5*c = -34. Solve -n = -y*q + 4*q for q. -2 Suppose 3*r + 2*r = 15. Let q(h) = h**3 - 2*h**2 - h - 4. Let y(l) = l + 3. Let t be y(0). Let o be q(t). Solve -g = -r*g + o for g. 1 Let b = -2 + 15. Suppose -4*c = -p - 15, -c + 1 = p - 4. Suppose -u + y = p, 12 = 5*y - b. Solve u*j + 17 = -3 for j. -5 Let n(t) = t**3 + 8*t**2 + 3. Let d be n(-8). Suppose -c = 3*u + 11, 2*c + 2*u + 3 = -d. Solve g + 0 + c = 0 for g. -1 Suppose 7 - 16 = -3*r. Suppose r = -2*m + 11. Suppose m*w = -w. Solve w = 2*n - 4*n - 6 for n. -3 Suppose -4*a + 5*n - 14 = 0, 0 = -5*a - n - 2*n + 1. Let k be 1/(-2)*(1 + a). Solve 0 = -3*j - k*j for j. 0 Suppose 0 = -3*v + v + 30. Solve -5*z = -0*z + v for z. -3 Let g be (0/14)/(2/2). Solve -3*z + g*z = -3 for z. 1 Suppose -2*j + 3*j = -4*y + 1, -y + 4 = 4*j. Let g be 54/4 + j/2. Suppose -c - q = 4*c - g, -5*c + 11 = 4*q. Solve 0 = -c*k + 3 for k. 1 Suppose 0 = -5*j - 25, 4*y + 5*j + 9 = -4. Suppose -5*m = -y*m. Solve m*l + 5 = l for l. 5 Let c be 1*(-4)/(-8)*8. Solve c*j + 0*j = -8 for j. -2 Let i(y) = y**3 - 4*y**2 - 3*y - 4. Let p be i(5). Let v = p + -3. Let x be (v + -4 - -3)*1. Solve 5*r = -8 - x for r. -2 Suppose -131 = 4*m - 35. Let d be (m/40)/(1/(-5)). Suppose -2*s + 17 = o, 22 = d*s - s + 2*o. Solve -u - s = u for u. -3 Suppose -3*p - 7 = -4*c - 0*p, c - p - 1 = 0. Let n = c - 2. Suppose n*s = -s. Solve j + 1 + s = 0 for j. -1 Suppose 0 = -4*u + 5*u - 32. Suppose 3*a + s + 3*s - u = 0, 4*s - 24 = -a. Suppose 9 = a*o - o. Solve 7 + 5 = o*m for m. 4 Suppose 0 = -15*d + 19*d - 8. Solve -d = k + 1 for k. -3 Let l(c) = -3*c - 84. Let z be l(-30). Solve p - 1 = -z for p. -5 Let j be -18*((-3)/6 + 0). Suppose -i + 4*i = j. Suppose 23 = i*o + 4*v, 0 - 17 = -5*o + 4*v. Solve -o + 2 = -3*y for y. 1 Let b(r) = 2*r**2 + 5*r + 5. Let n be b(5). Suppose -3*m - 11 = 3*x - n, -x + 3*m = -15. Let p(u) = 3*u - 16. Let c be p(7). Solve 6 = c*f + x for f. -3 Let a(n) = -n**3 + 9*n**2 - 6*n - 2. Let w be a(8). Solve 5*j = -w - 1 for j. -3 Let t(l) = l**3 + 13*l**2 - 2*l - 22. Let s be t(-13). Solve 0*o = -s*o + 16 for o. 4 Let d(q) = -q. Let n be d(0). Let r = -15 - -23. Let t be (-12)/r*(-4)/6. Solve n = -k - t for k. -1 Let z(n) be the second derivative of -n**5/20 - 3*n**4/4 - 7*n**3/6 + 4*n**2 + 2*n. Let u be z(-8). Solve p = -u*p for p. 0 Let t = -11 - -13. Solve 0*d = -2*d + t for d. 1 Let f(t) = t**3 - 19*t**2. Let n be f(19). Solve l - 5*l = n for l. 0 Let v(q) = 4*q**2 + 2*q + 1. Let z be v(-1). Solve -z*j = j - 8 for j. 2 Let n = 50 - 18. Let z be n/18 - (-8)/36. Suppose -2*t = 5*y + 18 + 5, -23 = -3*t + 4*y. Solve f + z = -t for f. -3 Suppose -2*b = -o + 5 + 5, 13 = 4*o + b. Suppose -2*f - 2*m + 2 = 0, -2*f + 8 = 3*m - o*m. Solve -f*q + 15 = 2*q for q. 3 Let h = 100 + -90. Solve 15 = -h*r + 5*r for r. -3 Suppose -5*w + 482 + 16 = 3*m, -m - 494 = -5*w. Let f be (-57)/(-11) - 18/w. Solve n = 2*n - f for n. 5 Let b(v) = -v**2 - 6*v - 5. Let o be b(-6). Let u be 1/o + (-171)/45. Let t(x) = x**3 + 4*x**2 + x + 4. Let m be t(u). Solve -5*w + 0*w = m for w. 0 Suppose -9 - 11 = 5*d. Let o be d*2*(-9)/12. Suppose o*f - 2 = 5*f. Solve f*r - 4 = r for r. 4 Suppose -4*r + 5*z = -45, 3*z - 7 = -22. Suppose -r = d - 2*d. Let f = 0 + 4. Solve -f = -d*a - 24 for a. -4 Let b = 15 - 12. Suppose -b*x + 18 = 3*r, 2*x - 7*x = 0. Solve r*c = 2*c - 8 for c. -2 Suppose -14 = -a + 11. Suppose -n = -2, 2*l + 5*n = -l + a. Solve 2*x - 15 = l*x for x. -5 Let v be 2/8 - 1/4. Solve 0 = -3*b - v*b + 9 for b. 3 Let f be (-15)/(-2)*6/9. Let z(n) = -n**2 + 5*n - 4. Let j be z(3). Let m be 39/12 + j/(-8). Solve b = f - m for b. 2 Suppose 11 - 2 = 3*q. Let n be q - (0 - (-1 - -2)). Solve 0*c = c - n for c. 4 Suppose 0 = -3*y - 13 - 44. Let x = y - -22. Solve 0 = -x*u + 2*u for u. 0 Let i(z) = -z**3 - 10*z**2 - 11*z - 8. Let u be i(-9). Suppose 0 = 2*c - 0*c - u. Solve -4*o + c = -15 for o. 5 Let p = 3 - 1. Suppose 2*u + t + 0*t = 7, 15 = 3*u - 3*t. Solve -u = -p*s - 6 for s. -1 Let a = -3 - -6. Suppose a*y - 3*w = 0, 4*y - 5 = -4*w - 13. Let h(k) = 2*k**2. Let m be h(y). Solve m*z + 2*z + 4 = 0 for z. -1 Let m be 110/25 - 3/(-5). Let q = m - 0. Suppose 2*i - 5 = i - 5*w, 4*w = -16. Solve -5*v + i = q for v. 4 Let j = -125 + 125. Solve -d + 0*d + 2 = j for d. 2 Let s = 0 + 2. Suppose 2*m = -s + 8. Solve -2*z = -3*z + m for z. 3 Let c(l) = -l**3 - 2*l**2 - l - 2. Let i be c(-2). Suppose 5*m + 4*s - 41 = 0, i = -m + 5*s - 9 - 6. Solve -3 = -m*v - 28 for v. -5 Let d be (32/28)/(6/21). Solve 0 = -4*a + 3*a + d for a. 4 Let p = -8 - -8. Let w(a) = 10*a**2 + 7*a - 5. Let g(t) = 5*t**2 + 3*t - 2. Let s(v) = 5*g(v) - 2*w(v). Let u be s(-1). Solve p = -u*k + k - 15 for k. -5 Let d be (-3)/(15/2) + (-2652)/(-130). Solve -5*g + 0*g + d = 0 for g. 4 Suppose 2*a + 3*a - 25 = 0. Suppose -2*z = -a*z. Solve -2*t + 10 = -z*t for t. 5 Let y be (-8)/(-3) + (-5 - (-13)/3). Solve 7*h - y*h - 10 = 0 for h. 2 Suppose -37 = -5*f - 5*y - 2, -5*f = 2*y - 20. Suppose -10 - 5 = 5*p. Let j = p - -6. Solve -j*s = f*s + 10 for s. -2 Let j = -63 + 68. Solve j*u = 15 - 0 for u. 3 Suppose i - 3 = 2. Suppose i*z - 5*a - 35 = 0, 8*a = 3*z + 3*a - 29. Suppose -z*y + 4 = -8. Solve -6*k = -y*k - 4 for k. 2 Suppose 5*l - 50 = t, 4*l - 50 = -l + 5*t. Suppose -m = 4 - l. Let d = m - 0. Solve -3*p = -d - 9 for p. 5 Let l = 0 + 1. Let y(r) = 10*r + 2. Let o be y(l). Solve 2 - o = -2*x for x. 5 Suppose 2*h + 0*h - 12 = 0. Solve -2*u - h + 0 = 0 for u. -3 Let u be (2 + (-8)/(-6))*3. Suppose -f = f - u, f - 7 = -2*l. Suppose -1 = 6*h - 4*h - m, 0 = -5*h + 4*m - 4. Solve l = -k - h for k. -1 Suppose 0 = -2*w + 3*w + 2. Let y = w - -4. Suppose -z - z = 4*i, 3*z - y = -4*i. Solve -1 = -z*f + f for f. 1 Let n(b) = b**2 - 5*b. Let c be n(6). Let q = c - 6. Let w be (-50)/(-6) + (-1)/3. Solve -w = -q*k + 4*k for k. -2 Let l = -214 + 226. Suppose q + 2*q = 6. Solve -q*s = -6*s + l for s. 3 Let l be 2 + -2 + 2 - -1. Solve 0*x - x = l for x. -3 Let y be 1/(-4) + (-248)/32. Let r(x) = x**3 - 5*x**2 + 3*x - 2. Let o be r(4). Let m be 273/28 - o/y. Solve 0 = 2*n - 3 + m for n. -3 Let d(h) = -h**2 + 4 + 0*h**2 - 5 + 0*h**2 + 2*h - h**3. Let j be d(-2). Let f be -1 - -2 - (0 + j). Solve 0 = -f*s + 5*s - 9 for s. 3 Let u(m) = -m**2 - 5*m + 5. Let f be u(-5). Solve -2*b + 3 = -f*b for b. -1 Let x be 1 - 1 - (-2 - -2). Suppose -7*c + 2*c = -25. Suppose 32 - 2 = c*g. Solve 4*j - 2 + g = x for j. -1 Let f = 42 - 40. Solve o = -1 + f for o. 1 Suppose -5*j - 8 = 7. Let m = 3 - j. Solve m*t + 20 = 2*t for t. -5 Let m be 9*-4*(-11)/6. Suppose p = -5*v + 75, 4*v - m = p - 3*p. Let f = v - -1. Solve 0 = -4*w + w + f for w. 5 Suppose 4*n - 28 + 12 = 4*a, -5*n = a + 4. Let f be ((0 + 0)/1)/2. Solve n = 2*s - f + 2 for s. -1 Suppose 5*i - 7*i = -3*i. Solve 0 = -p - i*p + 2 for p. 2 Let t be 2/(-4) + 46/4. Let y(c) = c**2 + 4*c. Let u be y(-3). Let f = u + t. Solve -5*q + 12 + f = 0 for q. 4 Let s = -7 + 12. Suppose s*q + 22 = b, -2*q - 25 = -b + 6*b. Let i = q + 5. Solve -5*a + 3*a + 6 = i for a. 3 Suppose 0*x + 3*x = 15. Suppose b = x*b. Let j = b + 1. Solve j = -4*f - 3 for f. -1 Let j be 0/((-1 - -1) + 2). Let h(v) = -v**3 - 5*v**2 + 6*v. Let l be h(-6). Solve 5*t + l*t = j for t. 0 Let w(a) = -2*a**2 + a + 1. Let n be w(-1). Let g be (1/(-2))/(n/108). Suppose -2*d = 4*t - 16 -
{ "pile_set_name": "DM Mathematics" }
**2 + 11*a + 5. Is d(-3) a composite number? False Suppose 3*j + 8*j = -11. Let m(z) = -1992*z + 2. Is m(j) a composite number? True Let f = -60764 - -96301. Is f prime? True Suppose -4*s = -8*s + 6252. Is s a prime number? False Suppose -9*v - 1255 = 680. Let o = 308 + v. Is o a composite number? True Suppose t + 4*q - 897 = 0, q - 3663 = 29*t - 33*t. Is t a prime number? False Let m = 1529 - -1659. Is ((-17)/34)/((-2)/m) composite? False Suppose 5*b = 1 + 19. Suppose 0 = 2*k, k - 364 = -b*x - 3*k. Is x a composite number? True Let t(v) = 21*v + 35. Is t(26) prime? False Let m be (33/3 + 4)/3. Suppose 0 = 3*r + 4*k - 1219, -r + k - m*k = -417. Is r a composite number? False Let k(v) be the third derivative of v**6/60 + 3*v**5/20 - 5*v**4/8 - 5*v**3/6 - 3*v**2. Is k(5) a prime number? False Let b(r) = -11*r - 4. Let d be b(-1). Suppose 2*o = d*o - 9005. Is o a composite number? False Let k = 3 - -4. Suppose 0 = -95*f + 90*f - 5. Let a = f + k. Is a a composite number? True Suppose 0 = -x + q + 386, x - 1168 = -2*x - 2*q. Suppose 0 = l - o - 310 - x, 0 = 5*l - 2*o - 3481. Is l a composite number? True Let q be 78/21 + (-2)/(-7). Suppose 0*y - q*y + 16 = 0. Suppose 894 = y*w - 758. Is w a composite number? True Let r(z) = 76*z + 715. Is r(7) composite? True Let b = -5461 - -18176. Is b a prime number? False Suppose 0 = 5*d - 3*p - 7, -2*d = 3*p - 7. Suppose -5*i = d*u - 965, -i - 24 + 235 = 4*u. Is i prime? True Let c(q) = -q**3 + 37*q**2 - 22*q - 519. Is c(28) a composite number? True Let p(z) = 17*z**2 - 86*z - 8. Is p(27) prime? False Let o = 129 - 123. Suppose -19*x + o*x = -8827. Is x composite? True Let d(o) = 37*o**2 - 8*o - 12. Let i be d(5). Suppose -99 + 528 = 2*b + c, -i = -4*b + c. Is b a composite number? True Let f(b) = 19 - 6 + 3*b + 4*b**2 - 6*b**3 + 16*b**3. Is f(6) composite? True Suppose -x + 1056 = -878. Suppose x = -68*c + 70*c. Is c a prime number? True Is 1*(-7 + 1) - (-6247 - 0) a composite number? True Let q = -48 + 46. Let n(v) = -40*v + 3. Is n(q) prime? True Let u(z) = z**3 + 47*z**2 + 8*z + 53. Is u(-41) prime? True Suppose 5*y + 3*h = 213, 0*y = -5*y + 2*h + 233. Suppose -y = -2*w + 997. Is w composite? False Suppose 2*g + 2*g = 2*a - 4, 4*a + 4 = 2*g. Is a + (-8)/(-3) + (-2906)/(-6) composite? True Suppose -5*i = -25, 5*q = -4*i + i + 162710. Is q prime? False Suppose -3*g - 3*s = -30, 0 = -2*g + 5*g + 4*s - 33. Suppose 5*h - 3 = g. Is 4438/21 - h/6 a composite number? False Suppose 2260 = -3*q + 7030. Suppose -432 = -6*x + q. Is x prime? True Let o(q) = -q**3 - 2*q**2 + 7*q + 13. Let h be o(-3). Is 1/(-3) - (-15033)/9 - h prime? True Suppose 3*o - 21 = 18. Let l(w) = -w**3 + 13*w**2 - 3*w + 11. Let d be l(o). Is (-1280)/d + 4/14 composite? True Suppose -3*b - 4*z + 13 = -6*b, 0 = 5*z - 20. Let r(k) = -3*k + 1. Let d be r(-6). Is 1*(d - (b - 3)) a composite number? True Let q be (-2)/(-3)*(4 + 2). Suppose -4*h - h = 5*c - 20, -q*h - 8 = -2*c. Suppose 2*u + 2*u - 4 = 0, -c*d = -4*u - 3000. Is d prime? True Suppose -f + 29320 = 4*f. Suppose -2*z - b = -f, -4*z + 9846 = -5*b - 1896. Is z composite? True Suppose -u - 25 + 110 = 0. Let z(i) = 35*i + 126. Let h be z(-3). Let s = h + u. Is s a composite number? True Suppose 468 = -0*v + v + 4*f, -10 = -2*f. Let w = v + -263. Is w a prime number? False Let h = -6 + 9. Suppose -h*f + b = 15, 0*b - 15 = -5*b. Is 597*(f/(-12))/1 a prime number? True Let f be (-8)/6*2*(-3)/2. Suppose -22 = -f*x + 286. Is x prime? False Let k(m) = m**3 + 4*m**2 + m. Let v be k(-3). Suppose -2*l + 37 = -3*t + v*t, -51 = -3*l - 3*t. Is l prime? False Is (909 - -2)/(1/1) composite? False Let i(d) = 2*d**2 - 4*d + 19. Let g(o) = -2*o**2 + 4*o - 18. Let w(s) = -6*g(s) - 5*i(s). Is w(3) composite? False Let p be (0 - (1 - 1)) + -140. Let a be (-299 + -4)*-1*(-1 - -2). Let u = p + a. Is u a composite number? False Let a = -22883 - -39598. Is a prime? False Suppose 15*r = 24*r - 30843. Is r a composite number? True Let u(d) = -5*d + 3. Let f be u(2). Is (-2936)/f + (-27)/63 composite? False Let x be (-84)/147 + (-176)/(-14). Suppose -x*o - 63 = -1059. Is o composite? False Suppose 5*p - 25 = 0, 0 = -5*t + 2*p - 7*p + 2150. Suppose 0 = -d + 2*n + 427, -n - 2*n - t = -d. Is d composite? False Suppose -q + 5*y + 11125 = 4*q, 3*y + 12 = 0. Is q a prime number? True Let g(q) = q + 7. Let o be g(-3). Let p = -5 + o. Is p + -2 + 5 - -217 prime? False Suppose -2*o = -10*o. Suppose -4*v + o*v = -596. Is v composite? False Let t = 6177 - 1430. Is t composite? True Suppose 0 = 5*t + 2*w - 6841, 1361 = -6*t + 7*t - 2*w. Is t a prime number? True Suppose -2*k + 3*k = -2*f - 5, -4*f = -k + 25. Suppose k*u = -4*m + 8171, 2*u = 3*m - u - 6162. Is m a composite number? True Let x = -223 + 2042. Is x a composite number? True Suppose -19*f + 21*f = 17410. Is f prime? False Let j(o) = o**2 - 9*o + 7. Let q be j(3). Is ((-2)/q)/1 + (-118410)/(-330) composite? False Is 1 - (0 - (6 + 22002)) a composite number? True Let b = -758 - -4077. Is b prime? True Let v(m) = 7*m**3 - 9*m**2 - 8*m + 3. Let o = -46 + 53. Is v(o) composite? False Let n be 5 + -1 + 1 - (10 + -11). Suppose -215 = n*i - 2297. Is i a prime number? True Let u(f) = 3*f**2 + 6*f + 32. Let i be u(-25). Let z(q) = 2*q. Let d be z(2). Suppose d*w + 3*w = i. Is w prime? True Suppose 0 = -6*g + 11*g - 5*t - 115470, 115475 = 5*g - 4*t. Is g composite? False Let t(s) = 2*s**2 + 10*s - 103. Is t(-14) a composite number? False Is -3548*(51/(-12) - -2 - -2) a composite number? False Suppose h - 694 = 2*m + 3*m, m - 688 = -h. Let t = -304 + h. Suppose -4*n + t = 21. Is n composite? True Suppose 0 = -2*b + b - 420. Let n = -226 + -67. Let z = n - b. Is z a prime number? True Suppose 10*v = 5*m + 7*v - 153043, 0 = 2*m - 2*v - 61214. Is m a prime number? False Let a(d) = 5*d - 69. Let h be a(14). Is 73*5 + 3 + (-2 - h) prime? False Suppose 4*g + g = -3*o - 1, -4*o - 2*g = 6. Is 43020/140 - o/(-7) a composite number? False Suppose -16 = 6*q - 10*q. Suppose -3*t + 91 = -q*n, -4*t + 2*t + 76 = 5*n. Is t composite? True Let d(l) = 6*l**2 + 8*l + 15. Is d(-7) prime? False Is -1 - (-110876)/14 - (-26)/91 a composite number? False Let a be -2 - (3 + -9)/3. Suppose 3*u = 3*r - 0*r + 30, a = 3*r + 15. Suppose -348 = -u*f + 1637. Is f composite? False Let q be 2 + -4 + 5869 + -4. Suppose 0 = -3*g + 3*z + q - 397, g = -4*z + 1827. Is g prime? True Suppose 3*b - 65868 = 11*z - 6*z, 0 = -4*b + z + 87841. Is b prime? True Suppose 6*p + 4*g - 1709 = 3*p, 4*p + 3*g = 2267. Let a = -156 + p. Is a a prime number? False Let n(f) = -f**3 - 8*f**2 - 3*f - 20. Let t be n(-8). Suppose 2*l = -l - x + 2107, 0 = -t*l - 4*x + 2820. Is l a prime number? True Let s(r) = -2*r**3 - 51*r**2 - 34*r - 104. Is s(-35) composite? True Let b(y) = y**3 - 7*y**2 + 4*y - 9. Suppose 3*j - 6*a = -4*a - 3, 15 = -j - 4*a. Let n be -1*(j - -10)/(-1). Is b(n) a prime number? True Let w(r) be the second derivative of 75*r**4/4 - 7*r**3/6 - 3*r**2 - 6*r. Is w(-1) prime? False Let k(y) be the second derivative of -y**4/12 - 2*y**3 + 9*y**2 + 8*y. Let u be k(-13). Suppose 13 = -u*l + 2698. Is l a prime number? False Suppose 86 = -5*f - 214. Let m be ((-558)/10)/(4/f). Suppose 3742 - m = 5*c. Is c a composite number? True Suppose 11 = 5*q + 3*w + 2, 4*q + 5*w = 15. Let a be (-4 - (0 + -5))*q. Suppose 2*f = h + 4442, a*h + 8860 = 4*f + 4*h. Is f composite? True Let h(g) = 89*g + 13. Let t be 3 - 1 - 9 - -1. Let q(v) = -45*v - 7. Let w(u) = t*h(u) - 11*q(u). Is w(-1) a composite number? True Let f(s) = s**2 + s + 1. Let v(i) = i**3 + 2*i**2 - 394. Let r(c) = f(c) - v(c). Is r(0) prime? False Suppose -5*v + 2*m = -51 - 21, 44 = 4*v - 5*m. Let d = v - 11. Suppose 5*j - 2055 = d*w, -5*j - 2*w + 344 = -1697. Is j a prime number? True Let i(b) = -3*b - 24. Let w be i(-11). Suppose 3*z = 5*d + 5*z - w, 4*d = 5*z + 27. Is d a composite number? False Suppose -2*g + 4630 = 2*p, -4*p + p = -4*g - 6917. Suppose -2*a - 2*a + 1854 = -2*d, 4*d = -5*a + p. Is a a prime number? True Suppose -7*a = 9*a - 10960. Is a composite? True Is (14 - 13)/((-3 - 0)/(-25827)) a prime number? True Suppose 5*a + 15 = 0, -5*w + 5*a - 4*a + 1088 = 0. Let l = 139 + -371. Let u = w - l. Is u a prime number? True Suppose 102 - 160 = -29*i. Suppose -b = 4*b.
{ "pile_set_name": "DM Mathematics" }
.4 (c) -20 a Suppose q + 11 = -4*f, -12*q - 2*f = -17*q - 11. Let o = 8/427 - 1886/55083. Let d = o + -121/516. Which is the smallest value? (a) d (b) -4 (c) q b Let g = -3 - -2.5. Let y = 375.76 - -3.24. Let d = -382 + y. What is the third biggest value in d, g, 1/2? d Let a(n) = n**2 - 44*n + 293. Let w be a(36). Let k be ((-3)/(-11))/((-3)/2). What is the third smallest value in w, 0.1, -1, k? 0.1 Suppose -1219 - 221 + 374 = -82*x. Which is the third smallest value? (a) 31 (b) x (c) -4 a Let x = 4.132 - 6.132. What is the third smallest value in x, -6, 36? 36 Let z = -151.4 - -151. Suppose 0*h = 5*q + h - 5, 3*q = 3*h + 21. Let m be q - 1*24/14. Which is the smallest value? (a) z (b) m (c) -2/17 a Let k(z) = z - 7. Let u be k(5). Let f = -1841/4 - -9209/20. Which is the fourth biggest value? (a) f (b) u (c) 0.3 (d) -4 d Suppose -u - 3*k + 6 = 0, 0*u + 2 = 2*u - 4*k. Let v = 44 - 39. Suppose -j = 2*l - u, 5 = j + v*l - l. What is the second biggest value in 5, j, -5? j Let t = 1855.94 - 1856. Which is the third biggest value? (a) t (b) 1 (c) 2 (d) 5 b Let w be ((-3)/4)/((-27)/30). Let o = 874532/51 + -17147. Let r = o + -1/51. What is the third smallest value in w, r, -0.3? w Let s = 5930 - 5936. Which is the second smallest value? (a) 9 (b) 17 (c) s a Let m = 36389 + -36400. Which is the third smallest value? (a) 0.7 (b) 1 (c) 0 (d) m (e) -0.1 c Let b = -7323.5 + 7324. What is the fifth biggest value in 1, 2, b, 5, -14? -14 Let f = 3.017 + -5.517. Which is the smallest value? (a) f (b) 0.4 (c) -139 c Let x = 977 + -727. Let i be ((-20)/x)/(2 + (-57)/30). Which is the third biggest value? (a) i (b) -4 (c) -0.4 (d) -1 d Let b = 35.9 + -33. Let d = 3.2 - b. Suppose p + 5*k - 19 = 4*p, 5*k = p + 23. What is the third smallest value in -0.4, d, -4/3, p? d Let d = 4.374 + -1.374. What is the third smallest value in 1, -34, 4, d? d Let h be ((-2)/(-3))/((-7)/(-126)). Suppose -h*z = -13*z. Let g be (-217)/(-124)*(27/21 + -1). Which is the third biggest value? (a) -4 (b) z (c) -2 (d) g c Let x = 1310 - 1314. Which is the second biggest value? (a) -0.8 (b) 21/5 (c) x a Let x = -19153/4 - -4788. Let o = 332/1947 - -2/177. Which is the fourth biggest value? (a) -9 (b) 3 (c) x (d) o a Let v = -4905 - -4905.9. Which is the second smallest value? (a) 8/7 (b) 1 (c) v b Let t be 54/((-212058)/(-3129)) - ((-4)/22)/(-2). What is the third smallest value in -2/7, t, -2/5, -0.8, -1/12? -2/7 Let n = -84 - -52. Let u = 32.28 + n. Let x = 0.68 - u. What is the biggest value in -0.4, x, -2/23? x Let n(j) = j**2 + 3*j - 5. Let k be n(-3). Let w = 85 + -424/5. Which is the biggest value? (a) k (b) -2/17 (c) 1/2 (d) w c Let r = -0.9666 - -1.0666. What is the second biggest value in r, -3, -2/101, 4, 2/5? 2/5 Let g = -86142437/71253 + 47146/39. Let i = 1/783 - g. What is the smallest value in 3/8, i, 0? 0 Suppose 0 = 2*h - 3*p - 46, -4*h + 4*p = -7*h + 35. Let d be ((-2)/h)/(5/(150/(-24))). Let z = d - 259/374. Which is the biggest value? (a) -5 (b) z (c) 0.6 c Let v(m) = m**2 + 11*m + 1. Let c be v(-6). Let t be (-4)/(-20) + 3 + c/(-5). Suppose t*f + 0*f - 18 = 0. What is the fourth biggest value in -4, -1/10, 9, f? -4 Let j = 28877.4 - 28877. Which is the third smallest value? (a) j (b) 2 (c) 1 (d) -405 c Let q = -31.972 + 32. Let o be (36/(-24 - -15))/(3 - -1). Which is the biggest value? (a) q (b) o (c) 0.4 (d) -0.4 c Suppose -6*r = 6*r - 60. Suppose -l = -3*o + 12 + 6, -o - r*l = -22. Let i be (-3)/6*2 + -4. Which is the biggest value? (a) i (b) o (c) 3 b Let k = 0.2 + -0.5. Let t = 6.5078 - 1.5078. Which is the third biggest value? (a) t (b) k (c) 2.9 b Let z be (-9)/207 + (-360)/1242. Which is the fourth biggest value? (a) 1 (b) -4 (c) -1/208 (d) z b Let u = -30.256 + 30.884. Which is the third biggest value? (a) u (b) -3/8 (c) 2/9 b Let n = -378 - -250.3. Let z = -128 - n. What is the third biggest value in -0.15, z, 4, 0.06? -0.15 Let b = 154.3 - 154.2. Let j = 414/35 + -73/7. Let k = 1/10 + j. What is the second smallest value in -7, k, b? b Suppose 3*z = -i - 9, -4*i = -65*z + 69*z + 12. Which is the smallest value? (a) -4 (b) -6 (c) z (d) 0.2 (e) 3/14 b Suppose -116 + 279 - 126 = 37*m. Which is the fifth biggest value? (a) 2 (b) -1 (c) m (d) 2/3 (e) -348 e Let f = 43 + -41. Let h = -2.54 + 0.54. Let g = -1.9 + 2. What is the smallest value in h, -1, g, f? h Let g(h) = -h + 10. Let q be g(6). Suppose -3*f - 12 = 3*w, -2*f = -w + 8 + 6. Let x be f/10 + (-55)/(-50). What is the second smallest value in q, -19/5, x? x Let w = 5 - -2. Let k = 7.5 - w. Let h = 0.03123 + -1.03123. Which is the biggest value? (a) -0.2 (b) h (c) k (d) 1 d Let r = 2424 - 2421. Which is the biggest value? (a) -1/16 (b) 0.7 (c) r (d) 1/3 c Let r = -5143.717 - -5144. Which is the smallest value? (a) -3/4 (b) 6/5 (c) r a Let p = 3763 + -3766. What is the smallest value in -0.3, 535/6, p? p Let y = 1.478 - -0.332. Let m = y - 1.31. Which is the biggest value? (a) m (b) 0 (c) -1/3 a Let i be 98/245*6/4. Which is the fourth biggest value? (a) 471 (b) 4 (c) -1 (d) i c Let x = 46.2 - 45. Let z be ((-39)/(-741))/(2/(-4)). What is the third smallest value in 2/5, z, x? x Let z = -74.01 + -0.99. Let i = 463.5 + -461.5. Which is the second biggest value? (a) -2 (b) i (c) z a Suppose 6*j + 139 = 13. Let v be 14/j + (-16)/(-6). Let c be (v - 2) + (1 - 1) - 1. What is the fourth biggest value in c, 3, -9, -0.4? -9 Let u = 0.5 - 1. Let o = -16285 - -16284. Which is the smallest value? (a) -2/3 (b) u (c) o (d) 0.3 c Let g = -3 - -2. Let v be 1495/(-897) - 39/(-18). What is the second smallest value in v, 5, g, -3/2? g Let k = 10428/61 + -171. Which is the fourth smallest value? (a) k (b) -1/7 (c) 0.4 (d) -4 c Let o(x) = 6*x**2 - 46*x + 61. Let w be o(6). Let n = 3 + 1. Which is the second smallest value? (a) -4 (b) w (c) n b Let w = 6139 + -6139. Which is the second smallest value? (a) w (b) -0.3 (c) 8 (d) -2 (e) -5 d Let n = -217 - -215. Let z(f) be the third derivative of -f**5/60 + f**4/24 + f**3/3 - 6*f**2. Let c be z(3). What is the biggest value in n, -0.09, c? -0.09 Let x(h) = 32*h + 507. Let s be x(-16). What is the third smallest value in 0, s, -0.1, -1/2? -0.1 Let f(h) = -119*h - 110. Let w be f(-4). Let b = w + -365. What is the biggest value in b, -0.4, -3? b Let y = 2504.147 - 2504. What is the smallest value in 1/5, 3, -4, y, -1? -4 Let x = 7 + -9. Suppose 7*h + 2*h + 27 = 0. Let r be (-13)/h - (-26 + 31). What is the second smallest value in x, 1.2, r? r Let m(b) = -244*b + 1059. Let p be m(4). What is the third biggest value in -0.13, 3, p, -2? -0.13 Suppose 14*h - 5*s - 1019 = 18*h, 2*h + 510 = -2*s. What is the third biggest value in 5, -4/5, -2, -4, h? -2 Let c = 218.6 + -39.6. Let x = 181 - c. What is the biggest value in 0.4, -0.4, x, 1? x Let r = 26 + -55/2. Let l = r + 17/14. Let n = l - 0. Which is the second biggest value? (a) 3/8 (b) -2 (c) n c Let b = 22.17 + -23.1. Let u = -1.04 - b. Let y be -1 - 4/(-3) - 1. What is the third smallest value in u, y, -0.1? -0.1 Let x = -76.07 - -76. Let i = x - 0.13. Let j = 2.8 - -0.2. Which is the second smallest value? (a) -5 (b) i (c) j b Let z = 0.311 - 0.27. Let s = 0.091 - z. What is the second biggest value in 3, 1/4, s, 1? 1 Let w(x) = -x**2 + 4594*x - 13776. Let i be w(3). Let v = 1 - 3. Which is the smallest value? (a) i (b) v (c) 5/6 a Let l = 14 - 10. Let m be (l/6)/(-2*(-4)/(-6)). Which is the third smallest value? (a) 6 (b) 0.02 (c) m (d) 5 d Let y = -44.618 + 3.618. What is the second biggest value in 1, 5, y? 1 Let l = -396 - -395.8. Let j = 7 - 5. Let d be 0/2 - (-4 + j). Which is the third smallest value? (a) -2/23 (b) d (c) l b Let i = 1316 - 1320. Which is the third smallest value? (a) i (b) 0 (c) -2 (d) 198 b Let d be (12/(-36))/(4/92). What is the second biggest value in 2/9, d, -2/15, 4? 2/9 Let z be 24/(-182) + (-68)/(-238). Which is the biggest value? (a) z (b) -2 (c) -12 a Let v = 229 - 225. Let r = -12.03 - -3.03. Which is the second biggest value? (a) r (b) v (c) 9 b Let d = 111.89 + -111.69. What is the second smallest value in -3/2, 0.8, 0.06, d, 1? 0.06 Let d
{ "pile_set_name": "DM Mathematics" }
ve v*f + 2 = 5 for f. 1 Suppose 0 = 486*a - 481*a - 10. Solve -o + a*o = 5 for o. 5 Let p = 2 + 2. Suppose -5*i - y + 20 = -3*y, -3*i = -y - 11. Solve i*s = -2 - p for s. -3 Suppose 3*b + 99 = 2*z, -16*b + 21*b + 235 = 5*z. Solve z - 10 = -8*j for j. -4 Suppose -5*y - 1 = 29. Let n be (1 + 0)/(y/(-18)). Solve 5*k - 2 = n for k. 1 Let u(d) = d**3 + 7*d**2 + 9*d + 9. Let q be u(-5). Solve -10*n + 16 = -q for n. 3 Suppose -3*q + n = -0*n - 8, 4 = 2*q - n. Suppose 4*i + 2*v = 0, 0 = 4*i + q*v + 12 - 4. Solve -6 - 2 = -i*r for r. 4 Let g be (-5 - -12)/(2 - -3 - 4). Solve -o - g = -3 for o. -4 Let m(u) = -u**3 - u. Let v be m(0). Suppose -60 = -v*q - 4*q. Solve -5*k = -8*k - q for k. -5 Let h(k) = 2*k**3 + 11*k**2 + 8*k - 4. Let y be h(-4). Solve y*b - 19 = 5 for b. 2 Let s(t) = 8*t**3 + 6*t**2 + 10*t. Let f(i) = 7*i**3 + 6*i**2 + 9*i - 1. Let o(g) = 7*f(g) - 6*s(g). Let j be o(-5). Let l = j + -2. Solve -10 + l = -3*a for a. 3 Suppose -2*y + y + 5*j - 23 = 0, -3*y + 5*j = 19. Let x be (6/(-4))/(y/8). Let m be (x/12)/(2/(-12)). Solve 0 = 2*w + m*w + 25 for w. -5 Suppose -4*y = 4*r - 1 - 7, -y - 2 = -3*r. Solve y - 1 = 5*j for j. 0 Suppose 193 = 4*u + 5*o - 0*o, -u + 2*o = -58. Let z = u - 51. Solve -2*b = -7 - z for b. 4 Let a be 2/6 + (-2)/6. Suppose 3*p + 10 = -2*r, a = -4*r - 4*p - p - 16. Solve -3*b + 2*b = r for b. -1 Let o(m) = m**2 - 4*m - 56 + 87 - 50 - 5*m. Let x be o(11). Solve 3*d + 0 = x for d. 1 Suppose -y + 12 = 3*y. Suppose 2*s = -8, -2*s = 3*z - 30 + 38. Solve z = -y*k + 4*k + 1 for k. -1 Let d(r) = r**2 - 6*r - 8. Let n be d(6). Let o be ((-2)/n + 1)/((-2)/(-8)). Solve o*f = 4*f + 3 for f. 3 Let c be ((-28)/12)/7*-15. Let v = c - 1. Solve -x + 0*x + v = 0 for x. 4 Suppose 2*v = v. Let f be (3 + -2)*(4 + v). Solve f*g - 13 = 3 for g. 4 Suppose -c + 2 = 5*u, -c - 2*c + 6 = -3*u. Let x(b) = 3*b - 7. Let k be x(9). Suppose 3*y - k = -c. Solve v + y = -v for v. -3 Let l be 8/(-6) + 1 - 22/(-3). Let f = 10 - l. Solve -u = -2 + f for u. -1 Let q be (-5)/(66/(-12) - -3). Solve -q*c = c for c. 0 Let b = 305 - 287. Solve -50*w + 44*w = b for w. -3 Suppose -2*b + 11 - 3 = 2*q, 5*q + b = 20. Suppose 2 = -c + 6. Solve 0 = q*l + c - 0 for l. -1 Suppose -5*o + a + 27 = 0, 4*o - 5*a + 1 = 10. Solve o*h = h + 10 for h. 2 Let g = 3 - 2. Let i(l) = 29*l + 2. Let k(q) = 59*q + 5. Let w(t) = 7*i(t) - 3*k(t). Let u be w(g). Solve -2*y = 3*y + u for y. -5 Suppose -31 = -2*l + 3*h, 3*l - 55 = -h - 14. Suppose -n + 3 = -2*n + b, -3*b = 2*n - l. Solve w + 3 = n for w. -2 Let k(x) = x**2 - 31*x - 25. Let o be k(32). Let n(y) = y**3 + 3*y**2 - 4*y + 1. Let d be n(-4). Let b be 2/(-6)*(d - o). Solve -6*v = -b*v - 8 for v. 2 Let p be 6 - (4 - 7 - 1). Solve 9*i + 35 = -p for i. -5 Let k(h) = h**3 + 6*h**2 + 5*h + 6. Suppose -2*j = -3*j - 7. Let c(a) = -a - 12. Let s be c(j). Let x be k(s). Solve -y - x = y for y. -3 Let o be (-66)/99 + (-116)/(-12). Let x be -5*1*(1 - 0). Let k = x - -9. Solve k*j + 7 = -o for j. -4 Suppose 0 = -5*j + 9 + 21. Suppose 0 = -4*k + m - 0*m + 39, -k - m = -j. Let n = k - 9. Solve 3*d - 1 - 5 = n for d. 2 Let r(g) = 24*g**2 - 5*g + 1. Let q be r(1). Solve 0 = -8*t + 3*t + q for t. 4 Suppose 4*u + 3*z = 48, -5*z + 60 = 5*u - z. Suppose f = u - 7. Solve -f*n - 2 = -6*n for n. 2 Suppose -4*g + 3*u + 6 = -12, -g + 4*u + 11 = 0. Let i(p) = -9*p**3 - p**2 - p - 1. Let n be i(-1). Solve n*q = g*q - 20 for q. -4 Suppose -40*w + 120 = -10*w. Let n be (3 - (-13)/(-3))*-6. Solve -w*j + 0 = n for j. -2 Let r(h) = -h**2 + 5*h + 1. Let i = -4 - -5. Suppose -5 + i = -v. Let k be r(v). Solve 0*u = k*u for u. 0 Let w be ((-36)/126)/((-1)/14). Suppose o = h - 0*h + 4, -h - w = 2*o. Solve -4*j - j = o for j. 0 Suppose -5*y = y - 48. Solve 3*b = 5*b - y for b. 4 Suppose 0 = g + 1, 4*r - 7 = -5*g + 12. Let a(o) be the first derivative of 5*o**2/2 - 6*o + 1. Let d be a(r). Solve 0 = -5*y - 1 - d for y. -5 Suppose -r - 18 = -a, 3*r = -a + 24 - 2. Let h = a + -19. Let k be -2*4/(-8) + h. Solve -13 = -4*j - k for j. 3 Let q be -258*(5 - 28/6). Let l = -76 - q. Solve 5*m - 7*m = -l for m. 5 Suppose -2*b + u = -23, -u + 12 = 13. Solve -9*a + 7 = -b for a. 2 Let c(p) = 9*p - 4. Let m(d) = d**2 + 13*d + 25. Let g be m(-11). Suppose -4*z - 6 = 2*f + g*f, -z = -2*f - 5. Let a be c(z). Solve -19 = a*s - 4 for s. -3 Let g(q) = 55*q + 6. Let o be g(0). Solve 26*c = 28*c + o for c. -3 Let w(v) = 36*v - 14. Let g(p) = -5*p + 2. Let a(s) = -44*g(s) - 6*w(s). Let n be a(6). Let c = n - 17. Solve -3 + 6 = c*m for m. 1 Let a(p) be the first derivative of -23*p**2/2 + 2*p - 31. Let l be a(-1). Solve -l = 4*j + j for j. -5 Let d be (1 - 5/(-10))*(-264)/(-18). Solve -d*w - 40 = -12*w for w. -4 Let l(o) = -o**3 - 4*o**2 + 4*o. Let a be l(-5). Let q be (-6)/(-18) - 38/(-3). Let i = 15 - q. Solve -a*n + 7 = i for n. 1 Suppose 26 = 3*t + k, 4*t - 3*k = 2*t + 10. Suppose -2*u + 12 = -t. Suppose 5*f - u = -m + 5, -5*m + 15 = -5*f. Solve f*w + 15 = -w for w. -5 Let q be 2/(-2)*3 - -7. Let u = q + -9. Let z = u + 8. Solve -17 = z*s - 2 for s. -5 Suppose 21*h = 20*h + 4. Solve 0 = f + 8 - h for f. -4 Let z(v) = -3*v**3 - 9*v**2 + 8*v - 14. Let b(c) = 4*c**3 + 9*c**2 - 8*c + 15. Let f(h) = -4*b(h) - 5*z(h). Let a be f(8). Solve 8*w - 3*w - a = 0 for w. 2 Let o(c) be the third derivative of -c**4/8 - 11*c**3 - 6*c**2 - 3. Let s be o(-25). Solve -2*i - s = i for i. -3 Suppose -5*g + 0 + 5 = -5*m, m = 4*g - 7. Suppose -c - 3*c = -5*z - 28, 0 = -4*c - 2*z. Suppose -c = -2*y + y. Solve y*h - h = m for h. 1 Let z be 1*-5*116/(-145). Solve -z - 2 = -2*o for o. 3 Suppose 4*u - 16 - 10 = -2*n, 2*n - 1 = u. Solve 0 = -24*k + 123 - n for k. 5 Let f be (-233)/5 + 16/(-40). Let u = 47 + f. Solve u*y = 4*y + 20 for y. -5 Let w(t) = 3*t**2 + 2*t + 1. Let u be w(-1). Let g(l) = -39*l + 13. Let s be g(5). Let z be 6 + s/(-21) - 2/3. Solve 4*a - u - z = 0 for a. 4 Suppose 0 = -34*r + 31*r + 6. Suppose r*v - 30 = -0*v. Suppose -4*n - i + 20 = -5, -3*n + v = 2*i. Solve n + 8 = -3*s for s. -5 Let a be 39/(-52) - 15/(-4). Suppose a = i - 1. Solve i*h + 0*h = 4 for h. 1 Let h(w) = -w**3 + w**2 + 2*w + 2. Let p be h(0). Suppose -2*a + 3*r + 1 = -1, -r = -a + p. Solve -11 + 3 = a*d for d. -2 Let r be -6*16/(-12) + 1. Suppose u + 30 = 5*z, 35 = -r*z + 13*z - 3*u. Solve z*p + 14 = -11 for p. -5 Suppose 36 = -11*o + 12*o. Let i = o + -34. Solve -f + i*f + 1 = 0 for f. -1 Suppose 5*t - t = 3*m + 3, 30 = 5*t + 5*m. Solve 10 = -t*d + 5*d for d. 5 Suppose -26 = -4*m - 3*c, m - 3*c + 11 = 2*m. Solve 41*v - 40*v - m = 0 for v. 5 Let j(k) = -k**2 + 13*k - 12. Let s(y) = 3*y**2 - 40*y + 37. Let p(r) = -11*j(r) - 4*s(r). Let g be p(16). Solve -5*m + 13 + 7 = g for m. 4 Suppose -36 = -103*c + 101*c. Solve 4*s = 6 - c for s. -3 Let p(b) = -b**3 - b**2 - b. Let q(i) = -13*i**2 - 14*i + 3. Let h(y) = -p(y) + q(y). Let v = 567 + -554. Let u be h(v). Solve -2*z - 2 = -u*z for z. 2 Let j be 2/1 + -2*1. Let h be (4/8)/((-1)/(-4)). Solve -l = -j*l - h for l. 2 Let c = 13 + -13. Let w = c + 10. Let b = w + -7. Solve b = -4*y - 9 for y. -3 Let n = 107 + -105. Suppose -4*z = 20, -2*p + 32 - 2 = n*z. Solve -2*d = 2*d - p for d. 5 Suppose -6*f = -2*f + 16, 4*f + 19 = q. Solve w + q = 8 for w. 5 Let p be 6/(-1)*1/(-3)*2. Let w(r) be the second derivative of -r**5/20 - r**4/6 - r**3/6 - 3*r. Let u be w(-2). Solve u*a = p*a for a. 0 Suppose -4*j = -0*j - 8. Let x(i) = 5*i + 65. Let k be x(-13). Suppose 5 = 4*w - 7. Solve -j*h + w + 7 = k for h. 5 Let b be -1 - -1 - (0 + 34). Let q = 34 + b. Suppose 30 = 3*x + 5*n, 4*x - 16 = -x + 3*n. Solve l + q + x = 0 for l. -5 Let a be (144/(-20))/((-6)/15). Solve 7*x = a - 4 for x. 2 Suppose 5*n = 3*x - 10, -4*n + 4*x - 28 + 12 = 0. Suppose -2*j = -n - 5. Suppose -2*r + 3 = s, j*r - 4*r + 3*s + 5 = 0. Solve r*f + f = 0 for f. 0 Let b(m) = 5*m + 1. Let u be b(4). Let a = u + -18. Solve z + 2 = a for z. 1 Let c(a) = 18*a - 124. Let m be c(7). Solve m*z - 5 = 3 for z. 4 Let l = -1 + 13. Let g(o) be the second derivative of o**3/3 - 17*o**2/2 - 7*o. Let m be g(l). Solve 2*d + m = 1 for d. -3 Let y(l) = l**3 + 5*l**2 - 9*l - 6. Let j be y(-6). Solve -15 = 9*m - j*m for m. 5 Suppose -5*j = h + 47, -21 - 18 = h - 3*j. Let m = -39 - h. Solve 0*f = f - m for f. 3 Let y be ((-324)/45)/((-2)/5). Suppose 5*i
{ "pile_set_name": "DM Mathematics" }
alse Is 27155091449 composite? True Is 96583032499 prime? True Is 46135262242 prime? False Is 786603665 a composite number? True Is 8411767241 a composite number? False Is 13236699601 a prime number? True Is 22028436299 a prime number? True Is 1866639001 a prime number? True Is 13401797779 a prime number? False Is 40225982789 prime? False Is 4196030551 composite? True Is 5376767458 a composite number? True Is 11586263597 prime? False Is 3182491751 prime? True Is 64390479317 a prime number? True Is 68810786947 a prime number? False Is 19455790337 a composite number? True Is 3356769419 a prime number? False Is 80320321591 composite? False Is 2696040227 a prime number? True Is 83006041963 a prime number? False Is 7331026587 composite? True Is 3340877849 composite? False Is 28365627659 composite? True Is 2204145971 a composite number? False Is 17353059169 a composite number? False Is 455867791 prime? False Is 205160719 composite? False Is 1464196777 a composite number? False Is 946116203 prime? True Is 71730203 prime? True Is 4424399933 a prime number? False Is 32308738621 a composite number? False Is 17621212007 a composite number? True Is 40346958473 a composite number? False Is 12772923533 a composite number? True Is 5739467095 composite? True Is 7660447853 a prime number? True Is 18896113627 composite? True Is 30634722317 composite? True Is 7945629199 composite? False Is 2153315987 composite? False Is 49556621407 a composite number? True Is 4035761317 a prime number? False Is 736603457 a prime number? False Is 30269948099 a composite number? False Is 35244010589 a composite number? False Is 18892634245 prime? False Is 3930724533 a composite number? True Is 519220297 a composite number? True Is 2859258967 a composite number? False Is 2534747 a prime number? True Is 6716707 prime? False Is 1771884787 prime? False Is 17792297629 a composite number? False Is 6099264883 composite? False Is 1022444221 composite? True Is 6659314535 prime? 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False Is 2561503535 composite? True Is 1401980119 a prime number? True Is 1885404611 a prime number? True Is 979206329 composite? False Is 142772606153 a composite number? False Is 140503251197 a prime number? True Is 378881311 a prime number? True Is 4446277301 composite? False Is 286887067 prime? True Is 988344713 a composite number? False Is 37839379 a prime number? False Is 57996708499 prime? True Is 32332690147 composite? False Is 25961510117 a prime number? True Is 2358507841 prime? True Is 8330681959 prime? True Is 9071367517 prime? True Is 914085721 composite? False Is 612229511 a prime number? True Is 1450517239 prime? True Is 107600543 a prime number? False Is 1141889219 prime? True Is 167787839 composite? True Is 92597313643 a prime number? False Is 160257893 a prime number? False Is 2134557049 composite? True Is 1326370027 prime? True Is 497669813 composite? False Is 1466148137 a composite number? False Is 972136663 a prime number? False Is 518246335 prime? False Is 11793598403 a prime number? False Is 2190642149 composite? False Is 114725855963 a composite number? False Is 61727987197 a prime number? True Is 1100360203 a composite number? True Is 706011091 composite? True Is 12386863547 a prime number? True Is 7536246763 composite? False Is 21339304121 prime? True Is 116955077 a composite number? True Is 6426643205 prime? False Is 11326662833 composite? True Is 63939387 composite? True Is 8545703213 a composite number? False Is 840274367 a composite number? False Is 26564514787 prime? True Is 4224603443 a composite number? False Is 3033880543 composite? True Is 172504139 a composite number? False Is 462489610913 prime? False Is 58139844259 composite? True Is 8582409995 composite? True Is 60352273 a prime number? True Is 147685939 composite? False Is 37774513157 prime? True Is 1040677087 a composite number? True Is 4484637103 prime? False Is 21451784117 prime? True Is 12048605713 prime? True Is 34223417 a composite number? False Is 11505326513 prime? False Is 3878416811 a prime number? True Is 630693587 a composite number? True Is 794918602 a prime number? False Is 30814378607 prime? True Is 64658177 a prime number? True Is 103823413 a prime number? False Is 18768955 prime? False Is 1496946877 composite? False Is 10833875237 composite? True Is 7824207241 prime? False Is 1322828103 a prime number? False Is 1146940051 a prime number? True Is 10619845669 prime? True Is 1110386411 composite? True Is 19613779571 a composite number? False Is 660045251 prime? True Is 1559945323 a composite number? True Is 16765046759 composite? True Is 769098703 a prime number? True Is 87383107 a prime number? False Is 54491625761 prime? False Is 74542680361 a prime number? True Is 58490112827 a prime number? True Is 1995747029 a prime number? True Is 2708844793 composite? False Is 9945213783 composite? True Is 619451857 composite? True Is 2541854927 prime? True Is 17803556569 prime? True Is 15496253573 a composite number? False Is 1696533233 a composite number? True Is 1568919379 composite? True Is 333879367 a composite number? False Is 279403771 prime? False Is 17397432449 composite? True Is 2471591447 prime? False Is 464959093 a prime number? True Is 33196289353 prime? True Is 63328051877 composite? True Is 96563591269 composite? False Is 7461229421 composite? True Is 820881163 a composite number? True Is 1148509139 prime? True Is 771516635 composite? True Is 778063397 prime? False Is 371578033 a composite number? True Is 33303546529 prime? False Is 4539829051 prime? True Is 492637259 composite? True Is 52607973973 a composite number? False Is 117779681 prime? False Is 28063823 composite? True Is 44117518969 a prime number? True Is 3418191977 prime? True Is 1418878507 composite? False Is 9670310989 a composite number? False Is 2338116149 prime? True Is 428046713 prime? True Is 37028671 a composite number? False Is 62687442211 composite? False Is 4620877957 a composite number? True Is 4308425177 composite? True Is 157819523 a prime number? False Is 5627960263 a composite number? True Is 668428889 composite? False Is 41936307457 a prime number? False Is 79437559 a composite number? False Is 4822510661 prime? True Is 78082271 prime? True Is 14070961609 a composite number? True Is 5144068819 prime? False Is 1566879649 a composite number? False Is 43881018514 composite? True Is 17514113395 a prime number? False Is 6602703563 a composite number? False Is 52412802434 prime? False Is 43249619363 a prime number? False Is 851406013 a prime number? True Is 1400564213 a prime number? True Is 13616378653 prime? False Is 10047237281 a prime number? True Is 2634681557 a composite number? False Is 1238695283 a prime number? False Is 13563185 a composite number? True Is 151256513 composite? False Is 67003260095 composite? True Is 326548993 a prime number? True Is 574168601 composite? False Is 62006474177 a composite number? False Is 9231696499 a composite number? True Is 9074870851 composite? False Is 1006974709 a composite number? True Is 709176887 a prime number? False Is 157450103 a prime number? False Is 388105777 composite? True Is 2456866277 a composite number? False Is 858099347 prime? False Is 20559265621 a prime number? True Is 43392457193 prime? False Is 2613
{ "pile_set_name": "DM Mathematics" }
2*u. What is the remainder when 20 is divided by r? 6 Let q(c) be the second derivative of -c**3/6 + 5*c**2 - 3*c. Let l be q(8). Suppose 4*f - l - 38 = 0. What is the remainder when 39 is divided by f? 9 Let q(l) = l**3 - l**2 + 4. Let u be q(0). Suppose -16 = u*s - 64. What is the remainder when s is divided by 7? 5 Suppose 17 = 3*r - 40. Calculate the remainder when r is divided by (-5)/(((-2)/(-10))/(2/(-5))). 9 Let r = 15 - 7. Calculate the remainder when r is divided by 3. 2 What is the remainder when ((-3)/(-6))/(2/772) is divided by 15? 13 Suppose 0 = -l + 5*l - 20. Calculate the remainder when 24 is divided by l. 4 Let i = -14 - -8. Let c = 10 - i. Suppose f = -2*t + 45 + 51, 0 = 3*t - 3*f - 135. Calculate the remainder when t is divided by c. 15 Let d be 0 + 0 - (1 - 1). Suppose -4*c - 16 = d, -v + 2*c - c + 13 = 0. Calculate the remainder when 17 is divided by v. 8 Suppose 3*b + 3 = -0*b, -5*b = 2*n + 13. What is the remainder when 2 + n - (-40 + 0) is divided by 13? 12 Suppose -2*w + 3 = -5. Calculate the remainder when 13 is divided by w. 1 Suppose -4*v - 4*s = -168, 20 = -0*s + 4*s. What is the remainder when v is divided by 10? 7 Let k(q) = q**2 - q. Let b(m) = m**3 - 4*m**2 - 11*m + 11. Let w(l) = b(l) - 3*k(l). What is the remainder when 32 is divided by w(8)? 10 Suppose -5*r + 52 = -23. Calculate the remainder when r is divided by 8. 7 Suppose 5*p - 70 = -5*i, -2*p = 2*p - 5*i - 56. What is the remainder when 37 is divided by p? 9 Suppose 0 = -5*r - 3*b + 51, 36 = 4*r + b - 2. Let v(a) = -a**2 - 6*a - 4. Let s be v(-4). Suppose -14 = -s*w + 6. What is the remainder when r is divided by w? 4 Suppose -2*l + 5*f = 3*f - 20, -2*f - 6 = 0. Calculate the remainder when 12 is divided by l. 5 Let n(i) = 3*i + 1. Let f be n(1). Suppose 0 = -f*m + 2*x + 20, 4*m - 3*x = m + 15. What is the remainder when (3/6)/(3/84) is divided by m? 4 Let i = 69 - 50. What is the remainder when 54 is divided by i? 16 Suppose -37*n + 36 = -25*n. What is the remainder when 124 is divided by n? 1 What is the remainder when 20/3 - 1/(-3) is divided by (21 + -15)/((-6)/(1 + -4))? 1 Suppose 2*d - 6 = -0. Let w be 228/(-8)*(-8)/d. Suppose 5*g - 24 = w. Calculate the remainder when 59 is divided by g. 19 Let n be (2/(-1) - -1) + 0. Let u(s) = s - 7. Let d be u(5). Calculate the remainder when 24 is divided by (n - d)*(12 + 1). 11 Suppose -5*w = -148 - 92. Calculate the remainder when w is divided by 26. 22 Suppose 2*f = 6*f. Suppose f = 5*g + 10, 6 + 0 = 2*h - g. Suppose h*r - 200 = -2*r. What is the remainder when r is divided by 13? 11 Let p(m) = -m**2 - m**3 + 4*m + 1 - 6*m + 0*m**2. What is the remainder when p(-3) is divided by 9? 7 Suppose h + 79 = 3*l, 5*l - 5*h = -0*h + 135. Calculate the remainder when l is divided by 14. 12 Let y(u) = 3*u**2 - 4*u - 3. Suppose 2*q + 3*m - 2 = 0, 2*q = -0*q - 2*m. Calculate the remainder when 31 is divided by y(q). 14 Let c = -2 + 4. Suppose q + u = -0*u + 49, 0 = u - c. Calculate the remainder when q is divided by ((-1)/(-2))/((-16)/(-384)). 11 Suppose i + 2 = 48. What is the remainder when i is divided by 24? 22 Suppose -2*d - 5*u + 26 = 0, 0 = -0*d + 2*d + 4*u - 22. Let n = 32 + d. Let a = -1 + 13. What is the remainder when n is divided by a? 11 Suppose 0 = -3*b + 3*u - 12, -2*u + 3*u = 0. What is the remainder when (-121)/(-7) - b/(-14) is divided by 5? 2 What is the remainder when -4 - ((2 - 41) + 4 - 4) is divided by 21? 14 Let t(d) = 5*d - 2. Suppose -7 - 5 = 4*i + 5*o, -2*i + 20 = -4*o. Calculate the remainder when t(i) is divided by (-10)/4*(-1 + -1). 3 Suppose 34*i + 32 = 36*i. Calculate the remainder when 78 is divided by i. 14 Let r(i) = -2*i**2 + 6 + 3*i**2 + 6*i - 2*i**2. Suppose -o = -0*o - 5. Calculate the remainder when 21 is divided by r(o). 10 Let c = 33 - -28. What is the remainder when c is divided by 13? 9 Suppose f = -5*l + 78, -4*f + 5*f + 2*l = 63. Calculate the remainder when f is divided by 28. 25 Suppose 9 - 5 = 2*o. Calculate the remainder when 7 is divided by o. 1 Suppose 41 = -13*q + 14*q. Let y = -4 + q. Suppose 3*w - 38 = -2*h, -4*w + 20 = 4*h - 9*h. Calculate the remainder when y is divided by w. 7 Let k(h) = -8*h - 9. Calculate the remainder when (58/8)/((-1)/(-4)) is divided by k(-3). 14 Calculate the remainder when 214 is divided by -6 + 44 + (-6)/3. 34 Let o = 247 - 223. What is the remainder when o is divided by 6? 0 Suppose 2*h + 3*h = 0. Suppose h = -2*s + 8 - 20. Let w = 29 - s. Calculate the remainder when w is divided by 9. 8 Suppose -3 + 0 = 3*r - 3*m, -5*m = -3*r - 11. Suppose -5*j + 32 + 12 = 3*w, -r*w + 3*j + 36 = 0. Calculate the remainder when 49 is divided by w. 10 Let s(l) = 4*l + 3*l**2 + 0*l**2 + 1 + 1. Calculate the remainder when s(-3) is divided by 6. 5 Let p(r) = 14*r**2. What is the remainder when 40 is divided by p(-1)? 12 Let k(c) be the third derivative of -c**4/3 + 7*c**3/6 + 2*c**2. Let s be k(-7). Suppose s - 15 = 3*q. Calculate the remainder when 46 is divided by q. 14 Suppose -3*w = 37 - 226. Suppose -57 = -4*f + w. Let b = f + -16. What is the remainder when 40 is divided by b? 12 Suppose 2*n - 12 = 2*t, -4*t = n + 4*n - 3. Let s(z) = 4*z**2 - z + 3. Let g be s(t). Suppose -4*x + x + g = 0. What is the remainder when 41 is divided by x? 13 Suppose -4*r + 75 = -3*i + 7, 66 = 5*r + i. Suppose -265 = -5*k + f, 4*f = -0*f. What is the remainder when k is divided by r? 11 Let t be -1 + 0 + 2/2. Suppose 5*i = j + 2, t*j - 1 = -2*j + 5*i. What is the remainder when j is divided by 1? 0 Suppose -5*y - 11 = -76. Suppose 0*b + 4*b - 92 = 0. Calculate the remainder when b is divided by y. 10 Suppose 19*l - 16*l = -84. Let g(d) = 2*d - 4. What is the remainder when g(7) is divided by 2/(-7) - 176/l? 4 Suppose 5*h - 4*h = 1. Calculate the remainder when 1 is divided by h. 0 Let j be 40/(-1)*(-5 - -3). Suppose -4*t = c - 26, c + j = 3*c + t. What is the remainder when c is divided by 11? 9 Suppose -2*y + 5*i = -24, -4*y + i + 6 + 6 = 0. Suppose -9 = -5*t + y*t. Let c(g) = -g**3 - g + 2. Calculate the remainder when t is divided by c(0). 1 Let m be 0/(0/(-1) + 2). Suppose m = j - 3*j + 100. What is the remainder when j is divided by 13? 11 What is the remainder when 43 is divided by (4/((-64)/120))/(1/(-2))? 13 Suppose -4*q - 4*t - 8 = 0, -t - 6 = 2*q + 2*t. Suppose q = -b + 4*b - 129. What is the remainder when b is divided by 15? 13 Suppose 0 = -3*f + 1 - 16, 4*f = -3*p + 88. Suppose 5*y - p = 29. What is the remainder when 147/3*(1 - 0) is divided by y? 10 Let s(n) = 4*n + 11. What is the remainder when 42 is divided by s(0)? 9 Suppose -3*p - 3 = -4*p. Suppose 10 = p*b - 8. What is the remainder when 15 is divided by b? 3 Let w = 31 + -18. What is the remainder when w is divided by 8? 5 Suppose -2*g = 3*u - 71, -5*u - 3*g = -0*u - 118. What is the remainder when 35 is divided by u? 12 Let k = -113 + 64. Let m = -29 - k. What is the remainder when 37 is divided by m? 17 Suppose -15 = -6*y + 3*y. Suppose q = y*c - 246, -3*q - q - 151 = -3*c. Calculate the remainder when c is divided by 13. 10 Suppose 0 = -5*s - 2*d - 4, -4*d + 5 = -7. Let t be (-266)/(-21) + s/3. What is the remainder when 28 is divided by ((-20)/8)/((-2)/t)? 13 Let h = -2 - -6. Suppose -p + 4*q = -34, 3*q + 136 = h*p - 39. What is the remainder when p is divided by 65/4 - (-2)/(-8)? 14 Suppose 1 = -2*d - 1. Let q(m) = 4 - 2*m**3 - 5 + m**2 + 3*m**3 - 24*m**3. What is the remainder when q(d) is divided by 8? 7 Let i(x) = x - 5. Let o(n) = 2*n - 6. Let s(b) = -4*i(b) + 3*o(b). Suppose -z - 45 = -6*z. Calculate the remainder when s(z) is divided by 11. 9 Let g(q) = q**2 - 11*q + 3. Let j be g(8). What is the remainder when 14 is divided by -2 + j/(-3)*1? 4 Let f = 15 + -11. Suppose 0 = n - 0 - f. Let v(q) = -5*q - 1. What is the remainder when v(-2) is divided by n? 1 Let v be ((-4)/6)/(1/(-3)). Suppose 3 + 7 = v*i. Calculate the remainder when i is divided by 2. 1 Let z = -4 + 11. Suppose 9 = 8*d - 95. Calculate the remainder when d is divided by z. 6 Let f be (-790)/(-9) - (-4)/18. Suppose -142 = -5*m - k, 2*m = 5*m + 2*k - f. What is the remainder when m is divided by ((-15)/2)/((-9)/18)? 13 Suppose 8*y = 9*y - 1. Suppose -y = 3*r - 49. What is the remainder when (-274)/(-6) - (-1)/3 is divi
{ "pile_set_name": "DM Mathematics" }
49.23147. Let v = -0.23 - z. Round v to 4 decimal places. 0.0015 Let a = -601.42 + 610. What is a rounded to zero dps? 9 Let j = 148 - 121. Let w = 25.49 - j. Round w to one dp. -1.5 Suppose 4*m - m = 6. Suppose -5*v - 5 = 0, -y + 4637 = -m*v - 1965. What is y rounded to the nearest 1000? 7000 Let m = 11 + -11.06. Let y = m - 4.94. Let x = -4.875 - y. What is x rounded to two decimal places? 0.13 Let w = -32 + 55. Let n = -1 + w. Let h = -22.000005 + n. Round h to 5 decimal places. -0.00001 Let h = -68 + 11. Let v = h + 56.08. What is v rounded to one decimal place? -0.9 Let g = -0.616 + 0.62049. What is g rounded to three dps? 0.004 Let l = 0.0488 + -3.5488. What is l rounded to 0 decimal places? -4 Let c = 26.80966 + 92.19369. Let a = c - 119. What is a rounded to 4 decimal places? 0.0034 Let f = 1532.9995755 + -1533. Round f to five dps. -0.00042 Let n be (-478)/6*(-18)/6. Suppose -5*y + n = 789. What is y rounded to the nearest ten? -110 Suppose 4*s + s - x = -3218360, 5*s + 3218360 = 5*x. Let b = 156328 - s. What is b rounded to the nearest one million? 1000000 Let i(l) = 2*l**2 + 3*l - 18. Let o be i(13). Suppose 5*v - 5 = -0*v, 0 = 5*y - 4*v + o. Round y to the nearest one hundred. -100 Let k = -0.1184036 - -287.1426036. Let h = -2.47 + 289.47. Let n = h - k. What is n rounded to three dps? -0.024 Let q = -161 - -17. Let p = 208 + q. Let l be 10*(2 - (1 - p)). What is l rounded to the nearest 100? 700 Suppose -7846740 = 3*z + 2*t, -2*t = 2*z - 4*z - 5231150. Let b = z - -1535578. What is b rounded to the nearest 100000? -1100000 Let z = 0.1509 + -49.8609. Round z to the nearest ten. -50 Let d = 581.99402 + -582. What is d rounded to four dps? -0.006 Let a = -5964842 - -13320842. What is a rounded to the nearest one million? 7000000 Suppose -1 - 1 = -n. Suppose -n*g + 2268 = -2732. What is g rounded to the nearest one thousand? 3000 Let j(c) = c**3 - 87*c**2 - 303*c + 70. Let h be j(-66). What is h rounded to the nearest 100000? -600000 Let r = -2.3 + 5.4. Let h = 3.144 - r. Round h to 2 dps. 0.04 Let v = -3735.7433 - -3736. Round v to one decimal place. 0.3 Let w be -3 + 4 + -1 + 3. Suppose d + 1279997 = -3*a, -w*a + 2*a = -4*d - 5120001. What is d rounded to the nearest 100000? -1300000 Let a = -9792.830022 - -9790.43. Let b = 2.4 + a. What is b rounded to 5 dps? -0.00002 Let y = 2.3025 - 2.39. Round y to two decimal places. -0.09 Let f = 33638 + -131989. Let s = f - -98363.0033. Let r = s + -12. What is r rounded to 3 dps? 0.003 Let z = 325 - 325.00868. What is z rounded to 4 dps? -0.0087 Let s = 1856 + -1856.002728. Round s to four dps. -0.0027 Let o = -3669473 - -2343509. Let u = o - -6875964. Round u to the nearest one million. 6000000 Let k = 18 - 29. Let f be ((-6)/(-10))/(k/55). Round f to the nearest 10. 0 Let t = 100.114684 - 0.124984. Let u = 100 - t. Round u to 3 dps. 0.01 Let d = 31 + -80. Let j = -49.0272 - d. What is j rounded to three dps? -0.027 Let c = 16 - 16.03. Let l = -0.02999905 - c. What is l rounded to seven decimal places? 0.000001 Let l = 30 + -19. Let h be (2/2)/(l/16610000). Round h to the nearest 100000. 1500000 Let r = 409 + -258. Suppose -2*t = 5*d - 3*t + r, 42 = -2*d + 5*t. What is d rounded to zero dps? -31 Let v = 424.98 + -425. Round v to 3 decimal places. -0.02 Let j = -41.924 - 0.076. Let x = -44321870 + 44321911.999979. Let r = x + j. What is r rounded to five decimal places? -0.00002 Suppose -26 = -3*i - 5*y, -y = i + 3 - 9. Let j be 1 + (-2)/i + 4. Let q be (-5)/(-10) - (-4399998)/j. Round q to the nearest one million. 1000000 Suppose 5*t - i = -147002, -21*t - 3*i + 88206 = -24*t. Round t to the nearest 10000. -30000 Let a = 8406246 + -4606246. Round a to the nearest 1000000. 4000000 Let k = 11298778777.99999569 + -11298778518. Let d = -260 + k. What is d rounded to 6 dps? -0.000004 Suppose 170*f + 6 = 167*f. Let h be ((-96000)/36)/(f/285). Round h to the nearest one hundred thousand. 400000 Let h = -0.444 + 0.4439581. What is h rounded to five dps? -0.00004 Let k = -743 + 749.844. Round k to one decimal place. 6.8 Suppose -2*z + 3*z = 5. Suppose 5*y = s - 2665 - 1435, -y = -z*s + 20452. Round s to the nearest 100. 4100 Let v = 94.2 - 53. Let j = 39 - v. Let a = j + 2.1985. Round a to three dps. -0.002 Let u = 24501.9 + -24501.8299956. Let w = u - 0.07. Round w to six decimal places. 0.000004 Let h = -14.42 - -26.65. Let r = -12 + h. Let g = r - 0.22999964. What is g rounded to 7 dps? 0.0000004 Let b = -2387945710.9 - -2387945809.89999917. Let h = 99 - b. What is h rounded to 7 decimal places? 0.0000008 Let r = 0.01508 - 0.0359. Round r to three dps. -0.021 Let r = -65.2 - -0.2. Let p = r - -64.9935. Round p to 3 decimal places. -0.007 Let h = -394988 - -179188. What is h rounded to the nearest 1000? -216000 Let c be (-119661519)/(-9) + 1/(-3). Suppose 27013593 = -3*k + 3926421. Let z = k + c. Round z to the nearest one million. 6000000 Let c = -1487 + 870. Let h = c + 37. What is h rounded to the nearest one hundred? -600 Let a = -2.62 - -0.67. Let o = a + 1.7. Round o to one decimal place. -0.3 Let q(n) = -49972*n - 7. Let x be q(-4). Let v = 106119 + x. What is v rounded to the nearest one hundred thousand? 300000 Let q be (-10)/((-1)/(-8) - 88953/711600). Round q to the nearest one hundred thousand. 2400000 Let q be -5 + (-2)/(10/(-25)) + -52300. What is q rounded to the nearest ten thousand? -50000 Let u(f) = -2*f - 7. Let l be (1*-1)/((-8)/(-48)). Let g be u(l). Suppose 0*x - g*x - 5*h + 380 = 0, 5*h = x - 88. What is x rounded to the nearest 10? 80 Suppose -5*v + 2*v - 19800 = 0. What is v rounded to the nearest 1000? -7000 Let l be 37084710/(-24) + -5 - (-45)/36. What is l rounded to the nearest one hundred thousand? -1500000 Suppose -5*w + a = -4*a - 5, -5*a - 5 = -4*w. Suppose w = 5*i + 4 - 19. Suppose i*t + t = 25200000. Round t to the nearest 1000000. 6000000 Let s = -740.99999602 + 741. Round s to 7 dps. 0.000004 Let k(j) = j - 6. Let c be k(4). Let p be (-5)/(-1 - 0) + c. Suppose 5*o + 2*u - 3 = 0, -p*u - 2 + 0 = o. What is o rounded to one decimal place? 1 Suppose 0 = -u - 4, -n = 83*u - 84*u - 84464. What is n rounded to the nearest ten thousand? 80000 Let w = 1619478 + -517606. Suppose 598853 = 2*q + 1782597. Let n = q + w. Round n to the nearest one hundred thousand. 500000 Let f(o) = 2*o - 63. Let s be f(0). Let x = -27 + s. Round x to the nearest 100. -100 Suppose 2*z + 0 = -14. Let i(x) = -736*x**2 - 9*x + 1. Let m be i(z). Let o be ((-14500)/6)/((-15)/m). Round o to the nearest 1000000. -6000000 Suppose 0*b + 49026 = 2*b. Suppose -369913 = -11*r - b. What is r rounded to the nearest 1000? 31000 Let m = 1535 + -1535.002724. Round m to four decimal places. -0.0027 Let j = -7924504222.67466066 - -7924504721. Let p = j - 520.32534. Let n = 22 + p. Round n to 7 dps. -0.0000007 Let a = 112.98506 + -113. Round a to 3 decimal places. -0.015 Let h = -216.378 + 217. Let a = h - 0.6. Let z = 0.084 - a. Round z to two decimal places. 0.06 Let s = 222.833 + -223. Let g = -0.18 - s. Round g to two dps. -0.01 Let p = 932529551 - 932529618.00000174. Let t = -67 - p. Round t to six dps. 0.000002 Let i = 45305368 - 45298481.1039. Let r = -6888 + i. Let n = -1.1 - r. What is n rounded to three decimal places? 0.004 Suppose 5*g - 3837 = a, -a = 4*g - 0*a - 3075. Suppose g = 11*f - 8*f. What is f rounded to the nearest 10? 260 Suppose 23*d = 27*d + 3*l + 20292003, 2*d = 2*l - 10145998. Round d to the nearest 1000000. -5000000 Let s(r) = -r + 19. Let q be s(15). Suppose 0 = -2*y + 5*w + 15185, -q*y + 40153 = 5*w + 9738. Round y to the nearest one thousand. 8000 Let v = 205 + -210.96. What is v rounded to the nearest integer? -6 Let d = 46292 - 46292.034117. Let a = d + 0.034. Round a to five dps. -0.00012 Let n be 36730/((-1 + 0)*-1). Suppose -3285 = -k + n. Suppose -5*d - 3*o = 2*o - k, -39985 = -5*d + 5*o. What is d rounded to the nearest 1000? 8000 Let q = -3238.11 - -3220. Let v = q + 19.6. Round v to one dp. 1.5 Let s = -5880 - -5880.00004121. Round s to 6 decimal places. 0.000041 Let z be (-5088)/(-2)*(-5)/2. Round z to the nearest 1000. -6000 Let d = 112.1 - -0.9. Let l = d + -205. Let s = 92.00000053 + l. Round s to 7 decimal places. 0.0000005 Suppose -3 = -2*v + 1. Let j be v + (3
{ "pile_set_name": "DM Mathematics" }
t is w(-2)? 76 Let p(t) = 2*t**3 + 27*t**2 - 292*t + 44. Calculate p(7). 9 Let n(u) = -u**3 - 38*u**2 + 3303*u - 2617. Calculate n(41). 7 Let z(d) = -d**3 + 64*d**2 + 51*d + 1217. Calculate z(65). 307 Let z(v) = v**3 + 47*v**2 - 221*v - 15519. Give z(-44). 13 Let k(m) = -m**2 - 321*m - 19151. What is k(-242)? -33 Let w(m) = 11863*m + 131294. What is w(-11)? 801 Let n(q) = -69*q - 962. What is n(-16)? 142 Let y(k) = -146*k**3 - 1687*k**2 + 779*k - 18. What is y(-12)? -6 Let g(v) = -v**3 + 24*v**2 + 12*v + 332. Calculate g(25). 7 Let z(w) = -32225*w + 32080. What is z(1)? -145 Let a(p) = p**3 + 167*p**2 - 5265*p - 5085. Give a(-194). 153 Let o(k) = k**3 + 156*k**2 - 567*k - 14304. Determine o(-159). 6 Let c(w) = -8975*w + 8052. Determine c(1). -923 Let w(r) = -r**2 - 10159*r + 152608. Determine w(15). -2 Let x(b) = -b**3 - 273*b**2 - 17055*b - 56695. Determine x(-180). 5 Let g(d) = 2497534*d + 14985222. What is g(-6)? 18 Let h(b) = -b**3 + 53*b**2 - 604*b + 3443. What is h(40)? 83 Let h(c) = -c**3 + 21*c**2 + 196*c - 3134. What is h(22)? 694 Let r(w) = -4*w**3 - 203*w**2 - 87*w - 7143. Calculate r(-51). -105 Let j(c) = 2*c**2 - 48*c - 45271. Calculate j(163). 43 Let h(n) = 19076*n + 2117441. Calculate h(-111). 5 Let a(c) = -189304*c + 30099332. Calculate a(159). -4 Let o(j) = -j**2 + 193*j + 4473. Give o(-21). -21 Let c(x) = 6503*x - 175598. Calculate c(27). -17 Let f(w) = 7*w**2 - 947*w + 11879. Give f(14). -7 Let l(q) = q**2 - 153*q + 5302. Give l(98). -88 Let i(p) = 14230*p + 882083. Calculate i(-62). -177 Let h(r) = r**3 + 230*r**2 + 512*r - 38170. Determine h(-227). 193 Let c(p) = -273466*p - 6289722. Calculate c(-23). -4 Let x(j) = -j**2 + 1131*j - 12322. Determine x(11). -2 Let u(x) = -46*x**2 + 33062*x + 233684. What is u(-7)? -4 Let k(i) = i**3 + 32*i**2 + 251*i + 1553. Determine k(-25). -347 Let p(t) = -227*t + 51678. Give p(227). 149 Let w(z) = 937*z - 136218. What is w(145)? -353 Let m(j) = -j**3 - 142*j**2 - 691*j - 831. Give m(-137). -9 Let u(y) = y**2 + 1187*y + 352115. Calculate u(-582). 5 Let d(a) = -a**3 - 51*a**2 - 225*a + 30. Calculate d(-46). -200 Let j(c) = -102*c**2 + 56*c - 40. What is j(-3)? -1126 Let j(y) = -83*y + 4173. Calculate j(21). 2430 Let x(h) = -2478*h + 128850. Calculate x(52). -6 Let o(r) = -58714*r - 351607. Determine o(-6). 677 Let w(c) = c**3 + 19*c**2 + 63*c - 5. What is w(-8)? 195 Let n(c) = -268*c - 9409. What is n(-38)? 775 Let s(a) = 12*a**2 + 1128*a - 58170. Calculate s(37). -6 Let k(v) = -264465*v + 18. Determine k(0). 18 Let u(n) = -309*n + 35442. Give u(117). -711 Let k(m) = -248*m**2 - 1255*m - 18. Determine k(-5). 57 Let k(n) = 2*n**3 - 181*n**2 + 290*n - 34665. Calculate k(91). 6 Let n(b) = -1241*b**2 - 2495*b - 6. What is n(-2)? 20 Let c(i) = -i**2 + 85*i - 1000. Calculate c(73). -124 Let v(h) = 62*h + 7832. What is v(-123)? 206 Let c(s) = 81*s - 3332. Calculate c(61). 1609 Let u(w) = 7847*w + 211865. What is u(-27)? -4 Let c(b) = -b**3 - 484*b**2 + 7998*b - 1003. What is c(-500)? -3 Let a(m) = 82497*m + 6764743. Give a(-82). -11 Let y(f) = -3*f**2 + 15591*f + 374. Calculate y(0). 374 Let t(q) = 3*q**3 - 113*q**2 - 531*q - 632. Calculate t(42). -2 Let y(w) = 2*w**3 + 336*w**2 + 347*w + 2193. What is y(-167)? 22 Let h(y) = -65*y**2 - 942*y - 478. Calculate h(-13). 783 Let i(y) = 246*y**2 + 425*y - 25. Give i(-5). 4000 Let m(o) = 12*o**2 + 20206*o + 140842. What is m(-7)? -12 Let a(n) = n**3 + 113*n**2 + 10*n - 147. What is a(-113)? -1277 Let v(z) = z**3 + 122*z**2 + 3311*z - 31. Calculate v(-81). 779 Let r(y) = -19*y**2 + 1651*y + 18397. Give r(-10). -13 Let p(u) = 19*u**2 + 23*u - 176. Calculate p(-7). 594 Let z(s) = 5289*s + 994356. Determine z(-188). 24 Let m(i) = -1624*i - 9962. What is m(-6)? -218 Let p(b) = b**2 + 1191*b - 4742. Calculate p(0). -4742 Let u(i) = 80*i**3 + 95*i**2 + 4*i + 4. Calculate u(-2). -264 Let r(o) = -795*o - 34942. Determine r(-44). 38 Let r(p) = -6609*p + 185063. Calculate r(28). 11 Let m(z) = -1159*z + 118044. Determine m(100). 2144 Let u(m) = m**3 + 2810*m**2 - 14078*m + 1. Give u(5). -14 Let g(z) = z**3 + 495*z**2 - 3988*z + 18111. Give g(-503). 3 Let f(v) = -3*v**3 - 255*v**2 + 14*v + 986. Determine f(-85). -204 Let g(j) = 125*j**2 + 382*j - 119. Calculate g(-3). -140 Let p(w) = -48*w**3 + 4323*w**2 - 279*w + 816. What is p(90)? 6 Let i(q) = -48*q**3 + 2*q**2 - 179*q + 352. Give i(2). -382 Let t(s) = -7208*s - 266615. Calculate t(-37). 81 Let t(z) = 1572*z - 492017. Determine t(313). 19 Let s(h) = h**3 - 852*h**2 + 2306*h - 2694616. Determine s(853). 11 Let g(u) = -2*u**2 - 2*u + 5098. Give g(-51). -2 Let t(n) = 49*n**3 - 107*n**2 + 55*n - 121. Give t(3). 404 Let g(d) = 5364*d - 27140. What is g(5)? -320 Let x(y) = -243*y - 2602. Determine x(-10). -172 Let z(t) = -6012*t**2 - 42086*t - 26. Determine z(-7). -12 Let o(h) = -h**3 - 243*h + 10197. Determine o(18). -9 Let r(g) = -15194*g - 1230725. What is r(-81)? -11 Let b(g) = -11565*g + 34701. What is b(3)? 6 Let y(d) = 1565*d + 1195702. Determine y(-764). 42 Let b(u) = -12*u**3 + 82*u**2 - 162*u + 608. Calculate b(6). -4 Let o(r) = -r**2 - 687*r - 99024. Determine o(-207). 336 Let p(n) = -39668*n - 119007. What is p(-3)? -3 Let o(z) = -4*z**2 + 209*z - 2456. Calculate o(31). 179 Let p(g) = 10*g**3 + 7*g**2 + 128*g - 442. Give p(3). 275 Let k(q) = -52*q**2 + 2949*q - 4915. What is k(55)? -20 Let a(r) = r**3 + 128*r**2 + 3470*r - 23. Determine a(-39). 16 Let b(y) = -1547*y - 11061. Calculate b(-9). 2862 Let q(b) = 1922*b + 912935. What is q(-475)? -15 Let p(y) = -2770*y + 99717. Calculate p(36). -3 Let i(f) = -f**3 + 42*f**2 - 179*f - 213. Give i(37). 9 Let j(q) = -65*q**2 - 8604*q + 4917. What is j(-133)? -536 Let c(f) = -46715*f + 9483143. Calculate c(203). -2 Let d(x) = 1164*x**2 + 2773*x + 2772. Calculate d(-1). 1163 Let g(q) = 1230286*q - 13533149. Calculate g(11). -3 Let p(i) = 6*i**2 + 3002*i + 17820. Give p(-6). 24 Let c(u) = -157*u - 6910. Determine c(-97). 8319 Let l(y) = -y**3 + 107*y**2 - 2715*y - 153. What is l(65)? 822 Let k(g) = 6*g**3 - 443*g**2 - 54*g - 1646. Calculate k(74). -166 Let t(g) = -2*g**3 - 22*g**2 - 19*g + 52. Calculate t(-11). 261 Let s(z) = -776*z**2 - 385674*z - 952. Calculate s(-497). 42 Let r(x) = x**3 - 58*x**2 + 511*x + 71. Calculate r(11). 5 Let x(s) = 21974*s + 18963573. Determine x(-863). 11 Let d(k) = 3*k**3 + 1292*k**2 - 429*k + 867. Determine d(-431). 5 Let m(d) = 2109*d - 296978. What is m(141)? 391 Let a(s) = -1706*s - 6855. Determine a(-4). -31 Let p(h) = 17*h - 178. Calculate p(60). 842 Let i(s) = 25*s**2 - 817*s + 3284. What is i(28)? 8 Let c(q) = 288*q - 31051. What is c(108)? 53 Let h(b) = -b**2 - 233*b - 12234. Give h(-80). 6 Let r(m) = 3*m**3 + 38*m**2 + 221*m + 2307. Determine r(-12). -57 Let c(r) = -25*r**2 - 769*r + 244. Give c(-32). -748 Let p(o) = -o**3 - 183*o**2 - 545*o - 918. Determine p(-180). -18 Let t(j) = -j**2 + j + 667. Determine t(19). 325 Let g(t) = -151115*t - 2417834. What is g(-16)? 6 Let c(g) = -523*g + 118331. Determine c(226). 133 Let o(m) = m**2 - 422*m + 41240. Give o(154). -32 Let m(o) = -o**3 - 113*o**2 - 131*o - 28132. What is m(-114)? -202 Let l(r) = 2070*r - 47873. What is l(23)? -263 Let r(p) = -2*p**3 - 612*p**2 + 5671*p + 22. Give r(9). 31 Let h(a) = -779*a**2 + 1607*a - 20. Calculate h(2). 78 Let h(o) = -o**2 + 2110*o + 115069. Calculate h(-53). 430 Let s(j) = -4*j**3 + 3*j**2 - 12*j + 40. Determine s(3). -77 Let c(m) = -39*m**2 + 391*m - 706. Give c(7). 120 Let z(o) = 3*o**3 - 24*o**2 + 20*o + 77. Give z(6). -19 Let w(p) = 616771*p - 3700632. Calculate w(6). -6 Let i(a) = a**2 - 1371*a + 177619. Give i(145). -151 Let g(u) = 47*u**2 - 1309*u - 69. What is g(28)? 127 Let o(m) = m**3 - 25*m**2 + 17*m + 506. What is o(23)? -161 Let d(a) = 6*a**2 + 1422*a - 60833. Give d(37). -5 Let s(v) = -v**3 - 134*v**2 - 2118*v - 124119. Give s(-125). 6 Let z(s) = -8*s**2 - 12892*s + 182101. Give z(14). 45 Let k(w) = 15542*w + 714918. Give k(-46). -14 Let k(a) = -2*a**2 - 73*a - 241. Give k(-6). 125 Let r(i) = i**3 + 41*i**2 + 390*i + 1. Determine r(-24). 433 Let q(y) = -12981*y + 38996. Calculate q(3). 53 Let g(x) = 30*x**2 + 501*x - 75. Give g(-17). 78 Let c(f) = 1453*f - 193230. Determine c(133). 19 Let g(n) = -n**3 - 63*n**2 - 157*n - 316.
{ "pile_set_name": "DM Mathematics" }
6? False Let t be -5*(-6)/(-45)*-21. Is (7/t)/((-2)/(-40)) a multiple of 2? True Let t = 526 + -424. Is 102 a factor of t? True Let s(v) = -v - 4. Let x be s(-2). Let y be (-1 - x) + (12 - 2). Suppose -9 = -l + y. Is 10 a factor of l? True Let b = -2 - -358. Does 4 divide b? True Let k(q) = -8 + 5 - 2*q - 4 + 27*q. Is 24 a factor of k(3)? False Suppose 258 = 14*u + 62. Let g(m) be the first derivative of m**2 - 10*m - 1. Is 18 a factor of g(u)? True Suppose y = 5*g + 19, 3*y - 8*y = 2*g + 13. Let j be (y/2)/((-2)/8). Is 2 a factor of ((-3)/j)/(9/(-12))? True Let a be -4 + (-14)/(-6)*3. Suppose 5*j = -4*y + 7 + 71, -a*j = 2*y - 38. Is y a multiple of 6? False Is (18 - 5)/(3/27) a multiple of 4? False Suppose -68*b + 243097 + 43251 = 0. Is 108 a factor of b? False Let u = -279 + 455. Suppose 618 = 3*p + 2*a + u, 5*p + 5*a - 745 = 0. Does 9 divide p? True Let c = -12 - -15. Suppose -c*o = -3*t + 15, 0 = -3*t - 2*o + o + 3. Suppose -16 = -t*j - 10. Is j a multiple of 3? True Let p(d) be the second derivative of -d**3/3 - d**2 - 23*d. Let k(t) = -t**3 + 4*t**2 - 3*t + 3. Let c be k(4). Is p(c) a multiple of 3? False Suppose -q = 5*i - 2, 0*q - 4*i = -4*q - 16. Let s(p) = -48*p - 6. Does 23 divide s(q)? True Let w = 482 - -260. Is 26 a factor of w? False Let c(l) = l - 20. Let h be c(0). Let i = h + 17. Is 7 a factor of (-7)/(-4)*(i + 15)? True Let d be (-2)/((-2)/(-3))*(-2)/(-3). Is 16 a factor of d/(-6) - 1434/(-18)? True Suppose 85*a = 83*a + 3168. Does 88 divide a? True Let c be 670/(0 + 2 + 0). Suppose -3*z = 3*p - 231, -p - 4*p + c = -5*z. Is 18 a factor of p? True Does 13 divide (-14)/(-42) + (-3)/9*-791? False Let h be 6/15 - 134/10. Does 38 divide (-130)/h*(-34)/(-4)? False Suppose 4*b - 7*b = 105. Let h = 75 + b. Suppose 15 = c + 2*g, -5*c + h = -c - 2*g. Does 11 divide c? True Let s(u) = -5 + 6 - 3 - 11*u**3 + u**2 + 1. Let j be s(-1). Suppose -15*h + j*h = -48. Is 12 a factor of h? True Let u be 0 + (48 + 2)/2. Let w = -9 + 12. Suppose 2*h - 20 = h + w*c, -4*c = -h + u. Is h a multiple of 4? False Let h(v) = 223*v**2 + 10*v - 20. Is h(2) a multiple of 13? False Suppose -4*q - 8 = 0, 2*b = 2*q - 4*q. Let u = 6 - b. Suppose -3*x + u*x = 13. Is 13 a factor of x? True Let k(a) be the second derivative of 0 + 5/3*a**3 - 1/20*a**5 - 5*a**2 + 2/3*a**4 + 12*a. Is 10 a factor of k(8)? True Suppose 2*w = -5*p + 8752, 5*p + 4*w = 6730 + 2014. Is p a multiple of 8? True Let y be (-4)/(-34) - (-967)/17. Suppose -132 = y*z - 59*z. Is z a multiple of 22? True Let x = 93 - 96. Does 3 divide (-2)/x - 400/(-12)? False Suppose 0 = 44*n - 51*n + 49. Does 7 divide n? True Suppose 420 = -2*a + 3*a. Let s(p) = 6*p**3 + p**2 + 2*p - 2. Let l be s(1). Suppose -a = -l*v + 2*v. Does 19 divide v? False Suppose -n - 6 = 2*n + 3*c, -4*c - 14 = 2*n. Suppose -5*u - 20 = -3*l, 3*u = l - n*l + 26. Is l a multiple of 5? True Suppose -c + 2 = 0, 4*l + 2*c - 24 = -2*c. Suppose 0 = l*g - 147 - 273. Is g a multiple of 22? False Let z(g) = -64*g**2 + 135*g**2 + 10 - 69*g**2 + 16*g. Is 20 a factor of z(-15)? True Let i = 28 + -28. Suppose 5*w - u = 19, i = -5*w - 0*u - 3*u + 3. Suppose -w*v = 4*h + h - 134, -v = h - 26. Is 14 a factor of h? True Let y(s) = -s**3 - 8*s**2 + 18*s - 18. Let d be y(-10). Is (d/(-3) - 2954/(-21)) + 3 a multiple of 29? False Let f(r) = -r**3 + r**2 + 2*r + 105. Let t be f(0). Suppose -4*x + x + t = 0. Is 22 a factor of x? False Let w(a) = -4*a - 2. Let d be w(-2). Let r(y) = -y**3 + 6*y**2 + 4*y - 6. Let x be r(d). Suppose j = -x + 52. Is j a multiple of 17? True Suppose 4950 = 33*w - 0*w. Does 15 divide w? True Let f(d) = -50*d + 2. Let b be f(-2). Suppose 2*g = -2*v + 192, 0 = -v + 2*g - 0 + b. Is v a multiple of 14? True Let q(s) = s**3 + 29*s**2 - 6*s + 67. Is 19 a factor of q(-29)? False Let u be 18/4*(-22)/33. Let o be -1*(-2 - -2)/u. Suppose p + 2*p - 18 = o. Is 2 a factor of p? True Let x be ((-7)/14)/((-1)/28). Suppose -3*g - x = -0*g - 4*a, 3*a = 5*g + 5. Suppose -84 = -5*w + g*w. Is w a multiple of 9? False Let y(d) = -d**3 - 16*d**2 + 16*d + 47. Is 64 a factor of y(-17)? True Let n(r) = -16*r**3 + r**2 + 4*r + 3. Let i be n(-1). Let a(y) = -i*y + 14 - 2*y - 2*y**2 - 3 + y**2. Is a(-16) a multiple of 9? False Suppose -a + 2 = -2. Let t be a + (0 + 89)*-1. Let v = t + 177. Does 31 divide v? False Suppose 0 = -2*d - 2*d + 20. Let n(r) = -r - 8. Let s be n(-11). Suppose s*f + 32 = d*f. Is 8 a factor of f? True Let t(b) = 68*b**2 - 21*b - 45. Let s be t(-15). Is (-2)/18 - s/(-162) a multiple of 4? True Suppose 0 = -7*d + 3*d + c + 3, -3*d - c + 11 = 0. Is 24 a factor of (-1)/(-2) - (-267)/d? False Let x(v) = 14*v**2 + v - 6. Let y(l) = -14*l**2 - l + 7. Let q(z) = -5*x(z) - 4*y(z). Let d be q(2). Let t = 116 + d. Does 13 divide t? False Suppose 31*j - 29*j = 396. Is j a multiple of 33? True Suppose -2*y = -8*y - 288. Let g = y + 104. Is 14 a factor of g? True Let f be (-896)/(-10) + 2/5. Is (-3)/(-5) + 6/f*3021 a multiple of 26? False Suppose 5794 + 18713 = 7*w. Is w a multiple of 148? False Let w(v) = 3*v**3 + v**2 + 2. Suppose -p + 208 = 2*t, 4*t = -0*p - p + 412. Let l be t/42 - (-6)/(-14). Does 12 divide w(l)? False Suppose -14 = -0*w - 7*w. Let y(t) = 15*t. Let i be y(w). Suppose 0 = -3*f + l + i, -3*f + 4 = -3*l - 26. Is f a multiple of 5? True Let k(q) be the first derivative of q**5/30 - 5*q**4/24 + q**3/2 + 6*q**2 + 10. Let h(s) be the second derivative of k(s). Is h(7) a multiple of 11? True Suppose -t + 5 = g + 2, g + 5*t = 7. Suppose -g*o + 21 = -35. Is o a multiple of 6? False Let x(w) = -w**3 - 6*w**2 + 11*w - 4. Let a be x(-8). Suppose p - a = -2*p. Let d = 45 + p. Is d a multiple of 19? True Let r(k) = -k**3 + 13*k**2 + 15*k - 11. Let c be r(14). Suppose -c*d + 2*l + 236 = 0, -5*l = -3*d + 123 + 107. Is d a multiple of 40? True Suppose 3*b + 4*i - 25 = 0, 0*b - 35 = -3*b + i. Let l = -22 + b. Let j(d) = d**2 + 8*d - 25. Is 4 a factor of j(l)? True Suppose -d + 28 = 3*d. Let b = d + 33. Does 5 divide b? True Suppose -2*a + 6 = a. Suppose -3*y + 5*y - 10 = 2*w, 0 = -4*y + 20. Suppose -v - 4*c + 5*c + 5 = w, c + 11 = a*v. Is v a multiple of 3? True Let h be 6/(-4)*(-16)/(-8). Let y be 4 - 14 - h/3. Let n(u) = -u**2 - 9*u + 13. Is n(y) a multiple of 13? True Let m = 756 - 462. Is m a multiple of 18? False Let b(o) = -13*o**3 + o**2 + 3*o + 5. Let p(g) = g**2 + 7*g + 8. Let u be p(-5). Is 22 a factor of b(u)? False Suppose 0 = -l - 0*l - 2*f + 1098, 0 = -2*f. Is 9 a factor of l? True Suppose 42*o + 1632 = 46*o. Is 34 a factor of o? True Let x be (3 - 6*-3) + -1. Suppose 0 = -2*b + x + 32. Suppose -19 = -2*n + 5*u, -n + 5*u = 2*n - b. Does 3 divide n? False Let y be (-3)/(5 - 2) - -5. Suppose 2 = y*g - 14. Suppose -5*l = -2*o + 19 + 59, -3*o - g*l = -94. Is 17 a factor of o? True Let o(b) = -1 - 4*b + 9*b - 2. Let i = -40 + 45. Does 5 divide o(i)? False Let b(s) = s - 2. Let d be b(4). Let a = d - -50. Is 14 a factor of a? False Suppose 3*m = a - 2, -2*a - 3*a - 3*m + 10 = 0. Suppose g + a*r + 16 = 2*g, 0 = g + 4*r + 14. Does 3 divide g? True Suppose 5*b - 2*k + 13 = 0, k - 9 + 0 = 5*b. Let n be (-4)/b - (1 - 2). Suppose 105 = -n*p + 445. Does 19 divide p? False Suppose 0 = 12*g - 13*g. Suppose -4*h - 2*a + 406 = g, 2*a + 512 = h + 4*h. Is h a multiple of 34? True Suppose 3521 + 1295 = 8*k. Does 33 divide k? False Is -85*(0 - 1) + -8 a multiple of 2? False Let g(b) be the second derivative of -b**5/4 - b**4/4 - 2*b**3/3 - 3*b**2/2 + 4*b. Let q be g(-2). Let t = 85 - q. Does 26 divide t? True Suppose 191 = -2*x + 271. Let v = 1004 - 588. Is 4 a factor of (v/x)/(4/10)? False Suppose -156*o - 390 = -158*o. Is 3 a factor of o? True Is (5/(60/(-2456)))/((-18)/27) a multiple of 36? False Let c(g) = g**2 - g - 18. Let y be c(0). Let f = y + 17. Is (f/(-3))/((-8)/(-96)) a multiple of 3? False Let f = 17 - 12. Suppose -2 + 7 = j, 0 = 4*w + j - f. Suppose 21 - 6 = 5*x + 5*a, w = -5*x + 3*a + 7. Does 2 divide x? True Suppose -3*f - 5*c = f - 21, 3*f + 2*c - 14 = 0. Suppose g = -0*g - 3*m + 13, 0 = -m - f. Does 5 divide g? True Let p(d) = -d**3 + 25*d**2 - 45*d + 22. Is 2 a factor of p(23)? False Is (-5 - -317) + -1 + -5 a multiple of 9? True Let y(c) = -2*c + 1 - 6*c**2 + 3*c + 6*c**3 - 5*c**3 + 4*c. Let p be y(5). Let g(m) = 32*m**2 + m -
{ "pile_set_name": "DM Mathematics" }
ms in 12*f + 16*f + 17*f - 13*f. 32*f Collect the terms in 30*d + 7 + 7 - 15 + 2. 30*d + 1 Collect the terms in -2 + 2 + 12*g**2 + 0. 12*g**2 Collect the terms in -m**3 + 5 + 7 - 16 + 4. -m**3 Collect the terms in -11*w**2 - 8*w**2 + 22*w**2 - 18*w**2. -15*w**2 Collect the terms in 5*w + 3*w - 3*w - 4*w. w Collect the terms in -17*v + 34*v - 12*v. 5*v Collect the terms in 0*n**3 + 5*n**3 - 8*n**3. -3*n**3 Collect the terms in 0*f - 388*f**2 + 0*f. -388*f**2 Collect the terms in -9*d**2 - 4*d**2 - 7*d**2 + 19*d**2. -d**2 Collect the terms in 7*o + 16*o + 9*o**2 - 23*o. 9*o**2 Collect the terms in 6*z**3 - 7*z + 7*z + 7*z**3. 13*z**3 Collect the terms in -6*i**2 - i**2 - 2*i**2 + 4*i**2. -5*i**2 Collect the terms in 5*g + 11*g - 8*g - 9*g + 3*g. 2*g Collect the terms in 340 - 340 + 14*s**2. 14*s**2 Collect the terms in 235*o**2 - 26*o**2 - 117*o**2 + 400*o**2. 492*o**2 Collect the terms in -115 + 57 - 87*q**2 + 58. -87*q**2 Collect the terms in 0*c - 4692959 + 4692959 + 0*c - c**3. -c**3 Collect the terms in 6 - 4 + 58*y**2 - 2. 58*y**2 Collect the terms in 9*g**2 - 26*g**2 + 9*g**2 + 3*g**2 + 2*g**2. -3*g**2 Collect the terms in t + 4*t**2 - 5*t - 5*t - t. 4*t**2 - 10*t Collect the terms in -4*w**3 - w**3 - w**3 + 3*w**3. -3*w**3 Collect the terms in 28 - 3*u + 26 + 23 - 77. -3*u Collect the terms in -83*h**2 + 27*h**2 + 28*h**2 + 27*h**2. -h**2 Collect the terms in 1592 - 4765 + 4*u + 1588 + 1585. 4*u Collect the terms in 205*t - 41*t + 169*t. 333*t Collect the terms in -398*g + 20*g**2 + 398*g + 4*g**2. 24*g**2 Collect the terms in -16*z - 20*z + 25*z. -11*z Collect the terms in -32*c**3 + 34*c**3 + 156 - 156. 2*c**3 Collect the terms in 7*d - 23*d + 7*d**3 + 16*d. 7*d**3 Collect the terms in 5743576 + 5*j - 5743576. 5*j Collect the terms in -87*c**2 + 5 + 1 - 73*c**2. -160*c**2 + 6 Collect the terms in 4*d**2 + 2*d**2 + 2*d**2 - 7*d**2. d**2 Collect the terms in -29*u**2 - 44*u**2 - 23*u**2 + 0*u**2. -96*u**2 Collect the terms in 23*h**2 + 0*h + 0*h + 2. 23*h**2 + 2 Collect the terms in -3*o - 27*o**2 + 3*o + 121*o**2. 94*o**2 Collect the terms in 4*p - 8*p + 3*p + 5*p. 4*p Collect the terms in 4*h - h + 649 - 649. 3*h Collect the terms in -10*l**2 + 0*l**2 - 10*l**2 + 0*l**2. -20*l**2 Collect the terms in -5*p + 12*p - 2*p. 5*p Collect the terms in 14*o**2 - 14*o**2 + 6*o**3 - 47*o**3. -41*o**3 Collect the terms in -13*g**2 + 11*g**2 - 3*g**2 - 23*g**2. -28*g**2 Collect the terms in 266*q**3 - 5*q**2 + 5*q**2 - 268*q**3. -2*q**3 Collect the terms in 319356*c + c**2 - 319356*c. c**2 Collect the terms in -14*q**2 - 3*q**2 + 1 - 1. -17*q**2 Collect the terms in -3*s**2 + 6*s**2 + 12 + 0*s**2. 3*s**2 + 12 Collect the terms in -5 + 6*u**3 - 1 + 4*u**3 - 6*u**3. 4*u**3 - 6 Collect the terms in 1 + 28*u - 4 + 6*u + 1. 34*u - 2 Collect the terms in 6*f**3 - 166 - 10*f**3 + 332 - 166. -4*f**3 Collect the terms in 44*f**3 + 4*f**2 - f**2 - 3*f**2. 44*f**3 Collect the terms in 6124*b - 12241*b + 6118*b. b Collect the terms in -106*k**2 - 49*k**2 + 5*k**2 - 19*k**2. -169*k**2 Collect the terms in 28599 + 7*o**3 - 28599. 7*o**3 Collect the terms in -9*o**2 + 21*o**2 - 41*o**2. -29*o**2 Collect the terms in -24*z**2 - 17*z**2 + 22*z**2. -19*z**2 Collect the terms in 1159 + 27*d - 1159. 27*d Collect the terms in a**2 + a**2 - 28 - a**2. a**2 - 28 Collect the terms in k**2 - k**2 + 5*k**3 + 0*k**2. 5*k**3 Collect the terms in 39413 - 39413 + 8*o. 8*o Collect the terms in 13*d - 6*d - 3*d - 2*d. 2*d Collect the terms in 12 + 2*n - 7*n - 12. -5*n Collect the terms in -3 + 4*w - 5 + 8. 4*w Collect the terms in -8*o**3 + o**3 + 0*o**3. -7*o**3 Collect the terms in -44*d**2 + d + 0*d - d. -44*d**2 Collect the terms in 52617 + 2*j**2 - 52617. 2*j**2 Collect the terms in -172243*o + 172243*o - o**2. -o**2 Collect the terms in 4*i - 4*i + 2*i**2. 2*i**2 Collect the terms in -73947*l - 5*l**3 + 73947*l + l**3. -4*l**3 Collect the terms in 23*f**2 - 20 + 20. 23*f**2 Collect the terms in 4*g**3 - 2*g**2 - 9*g**3 + g**2. -5*g**3 - g**2 Collect the terms in 1834*w - 915*w - 912*w. 7*w Collect the terms in 27*f**3 + 24*f**3 + 2*f**3 - 9*f**3. 44*f**3 Collect the terms in -391*c + 391*c - 7*c**3. -7*c**3 Collect the terms in 2*v - 70 - 63 + 133. 2*v Collect the terms in -58*g + 21*g - 82*g. -119*g Collect the terms in -24341 - w + 24341. -w Collect the terms in -4*g**3 - 21*g**2 + 3*g**3 + 0*g**3. -g**3 - 21*g**2 Collect the terms in o**2 - 5*o**2 + 25*o**3 + 17*o**3. 42*o**3 - 4*o**2 Collect the terms in 5*x**2 - 5*x**2 - 174*x**3. -174*x**3 Collect the terms in -3*y - 23*y**3 + 3*y. -23*y**3 Collect the terms in -3*d + 5*d - d + d + d. 3*d Collect the terms in 458*m - 7*m**3 - 458*m. -7*m**3 Collect the terms in 632*b**2 - 2*b + 1 - 1 - 120*b**2. 512*b**2 - 2*b Collect the terms in -6*y**3 + 7*y**3 + y**3. 2*y**3 Collect the terms in 983*c**3 + c**2 - c**2 + 609*c**3. 1592*c**3 Collect the terms in -2*q**3 + 3*q**3 + 0*q**3 + q**3. 2*q**3 Collect the terms in -110 + 0*k + 110 + 7*k. 7*k Collect the terms in -78*a - 65*a + 151*a. 8*a Collect the terms in -z - z + 8*z - z. 5*z Collect the terms in 20*q**2 + q - q - 29*q**2. -9*q**2 Collect the terms in 10*g**3 + 6*g**3 - 13*g**3 - g**3. 2*g**3 Collect the terms in 7*x**3 - 7*x**3 - 11*x**3. -11*x**3 Collect the terms in -21*z**3 + 34*z**3 + 34*z**3. 47*z**3 Collect the terms in 10*b**2 - b**2 - 4*b**2 - 6*b**2. -b**2 Collect the terms in -a - 65077 + 65077. -a Collect the terms in 2*w - 18*w + w + 6*w + 2*w. -7*w Collect the terms in -6*t + 6*t - 73*t**2 + 75*t**2. 2*t**2 Collect the terms in 1 - 1 - 16*a**2 + 10*a**2. -6*a**2 Collect the terms in -2*p**3 + 11*p**3 - p**3 - 11*p**3. -3*p**3 Collect the terms in 96 - 96 + 2*f. 2*f Collect the terms in 3*f**3 - 173*f + 173*f. 3*f**3 Collect the terms in -2*t**3 + 2*t**3 + 13*t**3. 13*t**3 Collect the terms in -g**3 - 6*g**3 - 2*g**3 - g**3. -10*g**3 Collect the terms in -648*i**3 + 327*i**3 + 322*i**3. i**3 Collect the terms in 6*a - 5*a**2 - 1 + 17*a**2 + 1. 12*a**2 + 6*a Collect the terms in o**2 + 5*o**2 + 0*o**2 + 0*o**2. 6*o**2 Collect the terms in t**3 + 697*t**2 + 697*t**2 - 1394*t**2. t**3 Collect the terms in -94*d**2 - 100*d**2 + 189*d**2. -5*d**2 Collect the terms in -15*r + 19*r - 18*r. -14*r Collect the terms in 904*x - 452*x - 451*x. x Collect the terms in 104*g**3 + 29*g**3 + 14*g**3. 147*g**3 Collect the terms in -8*c**2 + 2*c**2 - c**2 + 0*c**2. -7*c**2 Collect the terms in -x + 4*x + 0*x - 10 - 4*x. -x - 10 Collect the terms in 5 + 29*z**2 - 6*z**2 - 1 + 2. 23*z**2 + 6 Collect the terms in 20*k**2 + 11*k**2 - 8*k**2. 23*k**2 Collect the terms in l**2 - 43 - 59 + 102. l**2 Collect the terms in -49*b + 10*b + 28*b + 9*b + 4*b. 2*b Collect the terms in 3*y**2 + y**2 - 2*y**2 - y**2. y**2 Collect the terms in -9*g - 2*g**3 + 3*g**3 + 0*g + 9*g. g**3 Collect the terms in -7*n + 2*n + n**2 + 5*n + 0*n. n**2 Collect the terms in -122*x**2 + 232*x**2 - 74*x**2 + 286*x**2. 322*x**2 Collect the terms in -5*a**3 - a**3 - 15*a**3. -21*a**3 Collect the terms in 5387*v**2 - 5387*v**2 + v**3. v**3 Collect the terms in 11*k**3 + 8*k**3 - 65*k**3 + 14*k**3 + 20*k**3. -12*k**3 Collect the terms in 2268*p - 7*p**2 - 2268*p. -7*p**2 Collect the terms in -366*q**3 + 958*q**3 + 681*q**3. 1273*q**3 Collect the terms in -12567*f + 12567*f - 20*f**3. -20*f**3 Collect the terms in 70*g**3 + 80*g**3 - 152*g**3. -2*g**3 Collect the terms in -4*l**2 + 4*l**2 + 0*l**2 + 186*l**3. 186*l**3 Collect the terms in -28*h + 3*h + 7*h - h. -19*h Collect the terms in -214*v**2 - 14 + 14. -214*v**2 Collect the terms in 4*d + 18*d - 9*d. 13*d Collect the terms in -626*x - 4*x**2 + 626*x. -4*x**2 Collect the terms in 9*g**2 - g**2 + 4*g**2 - g**2. 11*g**2 Collect the terms in 3*t + 3*t - 9*t. -3*t Collect the terms in -3217 + 3217 - 3*u**3. -3*u**3 Collect the terms in -6 + 6 + 9*w - 8*w. w Collect the terms in 18 - 18 + 2*w + 24*w. 26*w Collect the terms in 5*o**3 + 7*o**3 - 11*o**3. o**3 Collect the terms in -m**3 + 843*m**2 - 1687*m**2 + 844*m**2. -m**3 Collect the terms in 4*z**3 - 71*z + 71*z + 2*z**2. 4*z**3 + 2*z**2 Collect the terms in 2*p**2 - 9*p**2 + 104*p + 2*p**2. -5*p**2 + 104*p Collect the terms in -978*f**3 - 970*f**3 + 1940*f**3. -8*f**3 Collect the terms in 10*a**2 + 16*a**
{ "pile_set_name": "DM Mathematics" }
+ 1323*r**2*z - 498*z wrt j? 1321841442*r**2 - 2*r*z Differentiate -31808852*k**2 - 2*k + 83444338 wrt k. -63617704*k - 2 What is the second derivative of -47345070*t**3 - 1839738*t wrt t? -284070420*t What is the first derivative of -189236035*d**3 + 164371540 wrt d? -567708105*d**2 Find the second derivative of 394*d**2*x**2 + 46*d**2 - 2*d*x**3 - 673626*d*x**2 - 7052626*x wrt x. 788*d**2 - 12*d*x - 1347252*d Differentiate 9024500*r**3 + 14684414 with respect to r. 27073500*r**2 Find the second derivative of 10270592*o**3 + o**2 - 46*o + 99252 wrt o. 61623552*o + 2 What is the second derivative of 2*j**2*u - 16022093*j**2 - 35*j - 124047*u wrt j? 4*u - 32044186 What is the derivative of 694589565*x**2 - 1056641221? 1389179130*x Find the third derivative of 168544543*h**3 - 253087699*h**2. 1011267258 Find the third derivative of 5581*g**4 - 26018*g**3 + 864528924*g**2. 133944*g - 156108 What is the third derivative of b*g**3 + 155*b*g**2*q + 8*b*g + b + 2406329*g**5 - 2*g**4*q - 78*g*q - 3 wrt g? 6*b + 144379740*g**2 - 48*g*q Differentiate 16956982*l*r - 3*l - 76222625*r wrt l. 16956982*r - 3 What is the second derivative of -72*j**4 + 97*j**3 + 5676*j**2 + 404724474*j? -864*j**2 + 582*j + 11352 Find the first derivative of -74*b**4 + b**3 - 177639*b**2 + 170168412 wrt b. -296*b**3 + 3*b**2 - 355278*b What is the third derivative of 247450663*d**4 + 111*d**2 - d - 7123 wrt d? 5938815912*d Differentiate 235*a*q**2 + 2*a*q - a - 5*q**3 + 1411*q + 109877 with respect to q. 470*a*q + 2*a - 15*q**2 + 1411 What is the third derivative of -54316585*r**3 - 28*r**2 + 168690*r - 2 wrt r? -325899510 Find the third derivative of 1233*w**6 - 587563*w**5 - 16566*w**2 + 5*w + 432. 147960*w**3 - 35253780*w**2 What is the second derivative of -21*x**5 - 23643*x**3 + x**2 + 39*x - 15855? -420*x**3 - 141858*x + 2 Find the second derivative of 143484*v**4 + 27*v**3 + 3*v**2 + 67495110*v wrt v. 1721808*v**2 + 162*v + 6 Find the first derivative of -548307407*q - 1533428102 wrt q. -548307407 What is the second derivative of 149422*c**2*g**2 + 2*c**2*g*i - 8*c*g**2 - c*g*i - 5*c*i - 30*c + 2*g**2 - 3*g*i wrt c? 298844*g**2 + 4*g*i Find the third derivative of -32170015*p**5 - 14152*p**2 + p - 47. -1930200900*p**2 What is the first derivative of 149569*n**2*x + 4*n**2 + 3783*n + 30*x - 27 wrt x? 149569*n**2 + 30 Find the third derivative of -5498192*h**3 - 75*h**2 + 3869*h. -32989152 What is the derivative of -313913125*l**2 - l + 385832240 wrt l? -627826250*l - 1 Find the second derivative of -44552785*m**3 - 3*m**2 + 3125*m - 11122. -267316710*m - 6 Differentiate 6601631*d**2 - 5530065 with respect to d. 13203262*d Find the third derivative of -3151*x**6 - 2932*x**5 + 10929*x**2 + 66*x wrt x. -378120*x**3 - 175920*x**2 What is the second derivative of -228040981*s**4 - 141580742*s? -2736491772*s**2 What is the second derivative of -3*z**5 - 470108*z**3 + 126*z + 2064 wrt z? -60*z**3 - 2820648*z What is the third derivative of -120073428*d**3*t**2 + 4*d**2*t**2 + 33396*d + 2*t**2 + 28*t + 2 wrt d? -720440568*t**2 Find the second derivative of -23*p**2*u**2 - 3166*p**2*u - 2*p**2 + 2*p*u**2 - 17*p*u + 70*p - 555*u**2 wrt p. -46*u**2 - 6332*u - 4 Differentiate -48061903*g**4 - 5*g**3 - 918641476 wrt g. -192247612*g**3 - 15*g**2 What is the derivative of 63546388*o**2 - 60292686? 127092776*o What is the third derivative of -667375467*i**6 + 643042930*i**2 wrt i? -80085056040*i**3 Differentiate -2*k*p**2 + 3399*k*p - 2*k - 1957*p - 321377328 wrt p. -4*k*p + 3399*k - 1957 What is the third derivative of -339097809*w**4 + 4*w**2 - 951892*w + 4? -8138347416*w Find the second derivative of -97000811*v**2 - 27564298*v. -194001622 Find the first derivative of f**2 + 78728303*f + 105038059. 2*f + 78728303 Find the third derivative of -2606*h**2*q**3 + 6209329*h**2 - 236*h*q**3 + 66*h*q**2 + 59*q**3 wrt q. -15636*h**2 - 1416*h + 354 Find the second derivative of -37629124*z**2 + 5805*z - 82. -75258248 What is the second derivative of -2187*g*o**2*r**2 + 2111*g*o*r**2 + 225*g*r**2 - 2688*o**3*r wrt o? -4374*g*r**2 - 16128*o*r Find the first derivative of 144009298*a**3 - 42692033. 432027894*a**2 What is the second derivative of -18021487*l*w**4 + 16*l*w - 57*l - 4*w**4 + 4*w + 1529 wrt w? -216257844*l*w**2 - 48*w**2 Find the first derivative of -141118487*b**2*g**2 - 402430*g**2 - 39 wrt b. -282236974*b*g**2 What is the second derivative of -12194956*u**2 - 116700080*u wrt u? -24389912 Find the third derivative of 126650669*d**3*w + d**2*w + d**2 - 3879*d*w + 130*d - 2*w wrt d. 759904014*w Differentiate 21887328*a*c*n**3*x + a*c*n + 416*a*n**3*x + a*n**3 - a*n + n**3*x + 326*n**3 + 3*n wrt c. 21887328*a*n**3*x + a*n What is the second derivative of -d**3 - 1471361*d**2 - 38786029*d? -6*d - 2942722 Differentiate 15142832*u**4 + 3*u**3 - 190600180 wrt u. 60571328*u**3 + 9*u**2 Differentiate 19605245*k**3 - 5*k**2 + 248615321 wrt k. 58815735*k**2 - 10*k What is the third derivative of -4*f**3*k**4*l - 43516*f**3*k**2 + 5*f**3*k*l + f**2*k**2 - 143465*k**4 wrt k? -96*f**3*k*l - 3443160*k What is the third derivative of 18038160*t**4 - 3*t**2 - 693989*t + 1? 432915840*t Find the first derivative of 24845390*a*q - 24159397*a wrt q. 24845390*a Find the first derivative of 34085311*a + 29002949. 34085311 Differentiate 2165731*g*i - 5*g - 4941915 with respect to i. 2165731*g Find the third derivative of -137152809*h**5 + 322824103*h**2 - 2 wrt h. -8229168540*h**2 What is the third derivative of 57807774*i**2*l**5 + 2*i**2*l + i**2 + i + 16*l**2 + 8*l - 99 wrt l? 3468466440*i**2*l**2 Find the first derivative of 66341977*a**4 - 40893213 wrt a. 265367908*a**3 Find the third derivative of 2*a**3*s**3*u - 155248889*a**3*s**3 - a**3*s**2 + 96*a**3*u - a**2*s + 9*a**2*u + 4*s**2*u - 2*s*u + 10 wrt s. 12*a**3*u - 931493334*a**3 Find the third derivative of 93348*p**4 + 42*p**3 + p**2 - p + 1386644 wrt p. 2240352*p + 252 What is the derivative of 511*v**2 + 13265*v + 156408931 wrt v? 1022*v + 13265 What is the second derivative of -4*c**3 + 1193221*c**2 - 161458*c - 839? -24*c + 2386442 What is the first derivative of -585350*d**2 - 438*d - 187050524? -1170700*d - 438 What is the second derivative of -2336058*h**2 - 12532267*h wrt h? -4672116 What is the third derivative of -45*z**4 + 17198*z**3 - 5*z**2 + 2*z + 968812? -1080*z + 103188 Find the third derivative of -6634474*t**4*x + 22*t**3*x - 4*t**2 - 8986*t*x + 63 wrt t. -159227376*t*x + 132*x What is the third derivative of -8*p**6 - 67410796*p**5 + 79765*p**2 + 1280*p wrt p? -960*p**3 - 4044647760*p**2 Differentiate 85413424*z**2 + 176153062 wrt z. 170826848*z Find the third derivative of -326*g**5 + 4*g**4 + 10965*g**3 - 480158808*g**2 + 2*g. -19560*g**2 + 96*g + 65790 What is the second derivative of -6832843*s**2 - 6152113*s wrt s? -13665686 Find the second derivative of -166*c**2*g**3*n + c**2*g + 2*c**2*n + 360027*c*g**2*n - 784088*c wrt g. -996*c**2*g*n + 720054*c*n What is the second derivative of w**3 + 2056827*w**2 - 4924*w wrt w? 6*w + 4113654 Find the first derivative of 416160*a*k**2 - 18*a*u**2 - 27609*a*u + a + 14*k*u**2 + 2*u**2 - 2 wrt k. 832320*a*k + 14*u**2 Find the second derivative of 461563679*j**3 - 256202519*j. 2769382074*j What is the third derivative of 2*c**5 + 34739*c**4 + 188*c**3 + 94262676*c**2 wrt c? 120*c**2 + 833736*c + 1128 Find the second derivative of 5*p**3 + 86387*p**2 + 83505248*p. 30*p + 172774 What is the third derivative of 324445536*c**4 - 23708444*c**2 + 7? 7786692864*c Find the second derivative of -f**2*x**2 - 9605412*f**2*x + 56757*f*x**2 - 27*x**4 wrt x. -2*f**2 + 113514*f - 324*x**2 What is the second derivative of -2*g**4 - 3387167*g**3 - 4069840*g? -24*g**2 - 20323002*g Find the second derivative of 66443278*v*w**2 + 6*v*w - 82*v - w**3 + 2*w**2 - 3*w - 5216 wrt w. 132886556*v - 6*w + 4 What is the derivative of -528527*w**2 - 138*w + 112280908 wrt w? -1057054*w - 138 What is the third derivative of 67721524*v**4 + 2214190*v**2 - 5*v - 4 wrt v? 1625316576*v What is the third derivative of 42960182*w**6 + 4*w**2 + 395323*w - 9 wrt w? 5155221840*w**3 Find the third derivative of 33656098*q**3*v**3 + 17*q**2*v**3 - 2*q**2*v**2 + q*v**3 + 4*q*v - 685*v**2 wrt q. 201936588*v**3 Differenti
{ "pile_set_name": "DM Mathematics" }
5 Express (-46*c**2 - 110*c**2 + 3*c**2 - 45*c**2)*(3*c**2 + c**2 - 5*c**2) in the form z*c**2 + o + d*c**4 + l*c**3 + h*c and give d. 198 Express (1 - 3 + 0)*(-2 + 2 - d)*(346 - 559 - 59) as i*d + n and give i. -544 Express (3 - 4 - 2)*(-274 + 274 - 29*a)*(-4 + 4 - a)*(2 + 0 - 3) - 3*a**2 + a**2 + 0*a**2 in the form o + r*a**2 + w*a and give r. 85 Rearrange (-2*o + 3*o - 3*o)*(-3 - 12*o**2 + 3) + (3*o + 2*o - 4*o)*(0 + 0 - 2)*(-o**2 - 5*o**2 + 5*o**2) to x*o + f*o**3 + u*o**2 + d and give f. 26 Express 26*f**4 - 5*f**4 + 23*f**4 + (0 - 2 - 1)*(-3*f**2 - 2*f**4 + 3*f**2) as c + l*f**4 + h*f + y*f**2 + u*f**3 and give l. 50 Express -1834*d - 668*d**2 + 1834*d as q*d**2 + h + g*d and give q. -668 Express 0 - 6*t**4 - 3*t**4 + 2 - 23*t + 2*t**3 + 7*t**4 in the form w*t**2 + y*t**4 + b*t**3 + m*t + j and give m. -23 Express 189*u**4 + 3*u**3 - 2*u**3 + 6*u**2 - u - 191*u**4 as m*u**3 + j + y*u**2 + r*u**4 + v*u and give m. 1 Express 445*p - 30*p**2 - 445*p + (p - 3*p - p)*((0*p + 4*p - 2*p)*(-2 + 1 - 1) - 2 + p + 2) as o*p**2 + a*p + w and give w. 0 Express 0*v - 65*v - 5*v - 2 - 5*v in the form x*v + i and give x. -75 Express (1 + 2 - 2)*(2 - 2 - 2*w)*(7*w + 13936 - 13936) as t*w**2 + j + d*w and give t. -14 Rearrange -4*b**3 - 2 + 251*b**4 - 237*b**4 + 2*b - 2*b**2 + 0*b + 0*b**2 to the form l*b + o*b**2 + c + n*b**4 + z*b**3 and give o. -2 Rearrange (-2*n**2 - 2*n**2 - n**2)*(-7 - 4 - 14)*(2 - 2 + 2) to t*n + p + a*n**2 and give a. 250 Rearrange -304*k - 17*k**3 + 1 + 304*k - 2*k**2 to the form y*k + l*k**3 + m + q*k**2 and give l. -17 Rearrange -k**3 + 0 - 4 - 2*k**3 + 0*k + 8*k + 2*k**2 + 6 to the form o + t*k**3 + q*k + h*k**2 and give q. 8 Express 22*c - 4 + 4*c**2 + 69*c**4 + 5 - 21*c - 3*c**2 in the form o*c + u*c**3 + b*c**2 + t*c**4 + j and give j. 1 Rearrange -k**2 + 137*k - 24 - 66*k - 72*k to the form v*k + g*k**2 + b and give v. -1 Express (15*a + 18*a - 12*a)*(-35 + 12 + 9*a**2 - 10*a**2) in the form h*a + d*a**2 + i*a**3 + b and give i. -21 Express (-4 - 8 - 2)*(2*f - 6*f + 3*f + 7*f**4) in the form k*f**3 + n*f**2 + x*f + w*f**4 + r and give x. 14 Rearrange (-6*a + 3*a + 4*a)*(3 + 1 - 1)*(-9 + 9 + 21) to the form k + d*a and give d. 63 Rearrange -1 - 29*n - 1 - 2*n**2 + 3 + 0*n**2 to the form i*n**2 + o + w*n and give o. 1 Express (-3 - 1 + 1)*(6 - 2 - 1)*(0 + 0*i + 3*i**2 + 4 + i) as s*i + o*i**2 + h and give o. -27 Rearrange -59*q - 69*q - 44*q to j*q + n and give j. -172 Express (74 - 74 + 138*d**2)*(-5*d - 2*d + 4*d) in the form i*d + l*d**2 + p + k*d**3 and give k. -414 Express (a + 3*a - 5*a)*(-2*a + 0*a + 0*a) + 128*a**2 - 182*a**2 + 106*a**2 + (-5*a + 0*a - a)*(-a + 0*a + 3*a) as s*a**2 + g + w*a and give s. 42 Rearrange (-19*x**2 + 2*x**2 - 6*x**2)*(2 - 1 + 1)*(-2*x - 2*x - 2*x) to f*x + h*x**2 + k + d*x**3 and give d. 276 Rearrange -45*d - 61 - 81*d - 60 + 118 to w*d + g and give g. -3 Rearrange (317*p - 440*p + 418*p)*((2 - 2*p - 2)*(-4*p + 3*p + 3*p) - p**2 - 1 + 1 + (0*p + 0*p + p)*(-2*p - 3 + 3)) to c + z*p + x*p**2 + j*p**3 and give j. -2065 Express (-9 + 4 - f + 3)*(2*f + 0 + 0) + 12*f**2 + 23*f**2 - 5*f**2 in the form h + n*f + l*f**2 and give n. -4 Rearrange 8*k**2 + 8 - 3*k**3 - 8*k**4 - 7 + 9*k**2 + 4*k**4 + 11*k**4 to the form m + w*k + h*k**2 + z*k**4 + l*k**3 and give l. -3 Express (0 + 0 + s)*(3 - 3 - 1) + 1 + 5*s + 48 + 38 as r + a*s and give r. 87 Rearrange 0 - 10*a**3 + 0*a - a**2 - 5*a - 3 + 3*a to p*a + w + j*a**3 + i*a**2 and give w. -3 Rearrange 37 + 3 - 42 - s**2 - 48*s to p*s + m + c*s**2 and give c. -1 Express 6 - b - 5 - 14*b**3 + 9*b**3 - 4 + 2*b**4 + 42*b**2 + 4*b**3 in the form a + k*b**3 + n*b**2 + o*b + j*b**4 and give o. -1 Rearrange -3*m**3 - 2*m**2 - 111*m**4 - 3*m + 1 + 6*m + 113*m**4 to u*m + q*m**2 + h*m**4 + s + i*m**3 and give u. 3 Express (-6*w**4 + 3*w**4 + 10*w**4)*(3 - 6 - 3) + 3*w**4 - 2*w**4 - 3*w**4 as g*w**2 + n + c*w**4 + j*w**3 + y*w and give c. -44 Rearrange (2 - a - 2)*(6 + 0 - 4) + 3*a + 0*a - 4*a + 146*a - 19 + 19 to c + u*a and give c. 0 Rearrange -47*s**3 + 5*s**3 - 77*s**3 + (2*s**2 + 2 - 2)*(2*s - 1 + 1) - 2*s**3 + s**2 - s**2 to the form x*s**3 + y*s + i + t*s**2 and give i. 0 Express 563*u + 1 - 564*u + 2*u**3 + 59*u**3 in the form s + w*u + b*u**2 + d*u**3 and give d. 61 Rearrange -311*l**2 + 17 - 253 + 310*l**2 - 2*l + 4 to the form v*l + w*l**2 + i and give w. -1 Rearrange 1 - 10*n - 21*n + 0 - 4 to l*n + c and give l. -31 Rearrange 3*a - 2*a - 3*a + (2 + 3 - 1)*(3*a - 4 + 4) - 5*a - 3*a - 2*a + (-2 - 2 + 6)*(-4*a + 3*a - a) to the form l*a + z and give l. -4 Rearrange 27*f**2 + 12*f + 24*f + 41*f**2 - 60*f**2 to the form p*f**2 + d + s*f and give s. 36 Express 12*v**3 + 10*v**2 + 13 - 14*v**2 - 14 + 4*v as i*v + c + b*v**3 + d*v**2 and give i. 4 Express (2*x - 2*x + 78*x**2 - 181*x**2)*(5*x + 7 - 7) in the form j*x**2 + h*x**3 + t + p*x and give h. -515 Rearrange (-2*k**4 + 4*k - k**4 - 2*k)*(1 + 0 - 2) + 304 - 11*k**4 - 304 to the form b*k**2 + f*k + a*k**4 + h + r*k**3 and give a. -8 Rearrange -1392 + 428 + 551 - v**2 to the form r + t*v**2 + z*v and give r. -413 Express (-3 - 1 + 5)*(1079*v + 11*v - 222*v)*(v + 1 - 1) in the form c*v + u*v**2 + q and give u. 868 Express (-100*o + 100*o - 73*o**3 + (1 + 0 + 1)*(-3*o**3 + 0 + 0))*(1 + 3 - 2) in the form g*o**2 + z*o**3 + m + l*o and give z. -158 Rearrange -2*y**2 + 490*y + 4*y**2 - 482*y to l + q*y + d*y**2 and give q. 8 Express -3 + q**2 + 3 + (-988*q + 2333*q - 1097*q)*(3*q - q + 0*q) as g*q**2 + j*q + x and give g. 497 Express (-229*y - 89*y - 7*y)*(y - y - 2*y + (y + 2*y - y)*(4 + 3 - 5)) as f*y + q + m*y**2 and give m. -650 Rearrange 1104*b**2 + b - 1108*b**2 - 6*b**4 + b - 5 to i*b + l*b**4 + r*b**2 + a*b**3 + c and give i. 2 Rearrange (-2*u - 3*u + 2*u)*(2*u + u - 6*u)*(27*u + 22*u + 60*u) to c*u**2 + l*u**3 + i + t*u and give l. 981 Express -2*g**4 + g**4 - 2*g**2 + 2*g**4 - 3*g - 2*g**4 + 17 - 27 - 2*g**3 in the form k + s*g + v*g**3 + o*g**2 + l*g**4 and give l. -1 Rearrange (132*f - f + 79*f)*(1 + 2*f**2 - 1) to the form j*f**3 + m + g*f**2 + u*f and give j. 420 Express -11*c + 3 - 2*c + 12*c + c + 327*c**2 as o*c**2 + f + h*c and give f. 3 Rearrange -4*q + 0*q**2 - 27*q + 10*q - 7*q**2 - 40*q to l + i*q + o*q**2 and give i. -61 Rearrange -3*y - 2*y**3 + 3*y + (271*y**2 - 413*y**2 + 231*y**2)*(-2*y + 3 - 3) to the form h*y + t*y**3 + v*y**2 + k and give t. -180 Rearrange (-3*x**3 - 5*x**3 + 2*x**3)*(-x - x + x)*(10 + 40 + 13) to h*x**4 + g*x**2 + i + b*x + k*x**3 and give k. 0 Rearrange (0*j**3 - j**3 + 3*j**3)*(0*j + j + 0*j) - 2*j - 97*j**4 - 1698*j**2 + 1698*j**2 to the form f + w*j + t*j**2 + z*j**4 + l*j**3 and give l. 0 Express -24 + 88 - 32 - 31 + 460*j**2 in the form r*j**2 + h*j + l and give r. 460 Rearrange (w - 4*w - 446 + 439 + 0*w + 3*w - 5*w - 3*w + 4*w - 2*w + (-3 - 3 + 4)*(w + 0 + 0) + 4 - 4 - w)*(-5*w + w + 2*w) to y*w + d + t*w**2 and give y. 14 Express 50*s + 5 - 71*s + 20*s + 2*s**4 in the form g*s**4 + w*s**2 + q*s**3 + r + x*s and give q. 0 Express (-4*m + 2*m + 4*m)*(44*m + 22*m + 11*m) + 2*m - m**2 + 0*m - m**2 as g + z*m + u*m**2 and give u. 152 Express 2*m**3 - 5*m + 18*m - 14*m - 1 - 2*m**2 as l*m**3 + d*m + b*m**2 + y and give d. -1 Express -15*o**2 + 31*o**2 - 46*o**2 + 3*o**2 + 2*o - 2*o + (o + 2*o + 0*o)*(-3 + 4*o + 3) in the form f*o**2 + z*o + g and give f. -15 Rearrange 10 + 21*l**4 + 7*l - 2*l**3 - 8*l + l**2 - 22*l**4 to the form q*l**4 + x*l**3 + g*l + o + c*l**2 and give c. 1 Express (-2 - 2 - 1)*(3*c**2 - c**2 - 3*c**2) + (-1 + 2 + 0 + (-3 + 4 + 0)*(3 - 5 + 3))*(13*c**2 + c**2 + 0*c**2) in the form z*c**2 + s*c + i and give z. 33 Express -12*h**4 - 2*h + 37*h**4 - 9*h**4 + 5*h**2 - 11*h**4 - 4*h**2 in the form w*h**4 + o*h**2 + l*h**3 + t + y*h and give w. 5 Rearrange (-s + 3*s - 3*s + 20 - 3*s - 20 + (-2 + 1 + 0)*(5 - 5 + 2*s))*(5 - s - 8*s - 3) to h + f*s**2 + c*s and give f. 54 Express -14*y**2 + 15*y**2 + y**4 - 50*y**3 + 40*y**3 + 16*y**2 in the form w + x*y**3 + j*y + f*y**4 + g*y**2 and give f. 1 Express (4 - 2 + 1 - 6 + 4 - 10 + (0 + 2 + 0)*(-1 - 6 + 5))*(x**2 - 2*x**2 + 0*x**2) + 3*x**2 + 3*x**2 - 4*x**2 as p*x**2 + h*x + q and give p. 15 Rearrange (3 - 4 + 7)*(-3*f - 4 + 4)*(17*f - 543 + 543) to the form m*f**2 + w*f + k and give m. -306 Expres
{ "pile_set_name": "DM Mathematics" }
the nearest 100? 2800 Let x(b) = -3*b - 9. Let a be x(-7). Suppose -a*r = -8*r - 6480000. What is r rounded to the nearest 1000000? 2000000 Let t = 309.8 + -335.54. Let l = t - 2.96. Let r = 28.700266 + l. What is r rounded to five decimal places? 0.00027 Suppose -3*i - 5*u = -u + 53, -i + 2*u - 11 = 0. Let z be (-128)/((2/i)/1). Suppose 6*c - 12 = -z. Round c to the nearest 10. -160 Let h = -7562 + -86327. What is h rounded to the nearest 10000? -90000 Let o = 454 - 667. Let z = -10.422 - -223.525. Let b = o + z. Round b to 2 decimal places. 0.1 Suppose v = -3*p + 250490009, 3*v - 4*p - 382429590 - 369040398 = 0. What is v rounded to the nearest one million? 250000000 Let i(q) = 3*q + 171966. Let p be i(0). Suppose 4*n = -20, -3*v = -2*n - 0*n + 770888. Let d = p + v. What is d rounded to the nearest 10000? -90000 Let a(y) be the second derivative of 805555*y**4/12 + 10*y**2 + 45*y. Let c be a(-6). What is c rounded to the nearest 1000000? 29000000 Suppose 0 - 3 = -3*p - 3*c, -3*c = -4*p - 3. Suppose 0*d + d + 6*d = p. Suppose -19*o + 21*o + 80 = d. Round o to the nearest ten. -40 Let w = 2485 - 1774. Let d = -711.000548 + w. What is d rounded to 4 decimal places? -0.0005 Let k = -0.0133 + -219.9867. Let r = -192.9 - k. Let g = -69.5 + r. Round g to zero decimal places. -42 Let w = 1228.692587 + -1228.7. What is w rounded to 4 dps? -0.0074 Let s = 16573.701 - 16604. Round s to the nearest 10. -30 Let y = 137 + -187.6. Let h = y + 61. Let q = -10.39931 + h. Round q to four dps. 0.0007 Let l be (-4)/(-18) + 196/9. Suppose -5*u + 37 = l. Suppose -u*o - 308 = 1528. Round o to the nearest 100. -600 Let j = -0.089079106 + 0.0891. Round j to 7 decimal places. 0.0000209 Let n be 79794496/(-1116) - 16/(-36). Round n to the nearest ten thousand. -70000 Let x = 261559 + 2706441. Round x to the nearest 1000000. 3000000 Let g = -13759347.50000525 + 13759336. Let c = 11.5 + g. Round c to six decimal places. -0.000005 Let n(l) = 840657*l + 87. Let f be n(9). What is f rounded to the nearest one million? 8000000 Let o(j) = 42*j - j**3 - 30*j - 16 + 2 - 3*j**2 - 2*j**2. Let p be o(-7). Suppose p = -15*g + 12*g + 99000. Round g to the nearest 10000. 30000 Let x = -3659.99997008 - -3660. What is x rounded to 6 dps? 0.00003 Let a = 87 - 29. Let z = -17077.152 + 17135. Let q = a - z. Round q to 2 decimal places. 0.15 Let q = -2895 + 2895.000012564. Round q to 6 decimal places. 0.000013 Suppose -3*g + 132628 = 4*s, -2*g - 3*g - 2*s = -221070. Let k = g + -149250. Let w = 52834 + k. Round w to the nearest ten thousand. -50000 Suppose -o - 5*q = 1510000, -3*o - 2*q - 5321096 + 791096 = 0. What is o rounded to the nearest one hundred thousand? -1500000 Let t = -8132.99992317 + 8133. Round t to 5 decimal places. 0.00008 Let b = -1742.50469 + 0.40469. Round b to the nearest one hundred. -1700 Let u(a) = 7265*a**2 + 2*a + 1. Let b(i) = 2*i**2 + 50*i - 45. Let p be b(-26). Let s be u(p). What is s rounded to the nearest 100000? 400000 Let x = -0.4793 - 0.0417. Let a = 0.585 + x. Round a to 2 decimal places. 0.06 Let z = -354632897 - -584185369. Suppose -4*i + z + 228847528 = 0. Round i to the nearest 1000000. 115000000 Suppose -2*w + 8*x - 10*x = -257560, -3*w = 5*x - 386340. Round w to the nearest 10000. 130000 Let d = -22.0297245 - -22.03. Round d to four decimal places. 0.0003 Let c = -5588937954533194681 - -5588937947792717867.100000051. Let f = -6740476806 - c. Let z = f + -7.9. What is z rounded to seven decimal places? -0.0000001 Suppose 13*i + 161 = -10*i. Let m be 27400/(i/(29750/(-5))). What is m rounded to the nearest 1000000? 23000000 Let z be (-4)/18 - (0 - 222/27). Suppose 5*p = -z*p - 16198. What is p rounded to the nearest ten? -1250 Let x = 0.365895672 + -0.3659. What is x rounded to 7 dps? -0.0000043 Let z = 0.4168 + -0.0543. Let a = -28.66 + 29. Let q = a - z. What is q rounded to two decimal places? -0.02 Let t = 16.238 + -15.97. Let g = -32500 - -32499.73333. Let z = g + t. Round z to four decimal places. 0.0013 Let q(g) = g**2 - 34*g - 67. Let y be q(36). Suppose -5*p = y*k + 1474995, -767027 = 4*k + 5*p + 412968. Round k to the nearest one hundred thousand. -300000 Let d = -19190753120189461.0000121 + 19190753893973648. Let h = 773784231 - d. Let x = h - 44. Round x to 6 decimal places. 0.000012 Let d be 402/33 - 4/22. Let u = d - 10. Let z(a) = 47*a**3 + a + 2. Let r be z(u). Round r to the nearest 10. 380 Let z = -48.7 + 53.16. Let t = z + -4.6. Let k = t + 0.152. Round k to two dps. 0.01 Let u be 4/2 - (73919821 - -181). Round u to the nearest one million. -74000000 Let i = -12809698 - -12809698.81340168. Let u = -0.523402 + i. Let c = u + -0.29. What is c rounded to 6 dps? 0 Suppose -12*u + 8*u + 24 = 0. Suppose 10 = -5*z + a + 4*a, u = z + 3*a. Suppose z = 2*o - 2293171 - 2086829. Round o to the nearest one hundred thousand. 2200000 Suppose 3*z - 3*w + 290138 = -z, 217602 = -3*z + 2*w. What is z rounded to the nearest one thousand? -73000 Suppose -5*m + 5*o + 20 = 0, -5*m = 4*o - 3 - 8. Suppose -7058895 + 33548895 = m*t. Round t to the nearest 1000000. 9000000 Let a = 110.5 + 88. Let w = a - 244. Round w to 0 decimal places. -46 Let j = 266.6 + -2495.6. Let h = j - -2229.03459. What is h rounded to 3 dps? 0.035 Let i = -70.3 - -74. Let u = 140.7 - i. Let z = u + -101.4. What is z rounded to the nearest integer? 36 Let b = 190.651 - -5.749. What is b rounded to the nearest one hundred? 200 Let z = -311983 + 157831. Let w = 626152 + z. Round w to the nearest 100000. 500000 Suppose 0 = -10*c + 8*c + 142. Suppose -2*x + 7*x = -2*h + 2349, -x - h = -468. Let g = c - x. Round g to the nearest one hundred. -400 Let y = 45985.999979561 + -45986. What is y rounded to 6 decimal places? -0.00002 Let p = -53 + 44. Let u be 6/p*6 + (3 - 3). Let f be 5596 + 2 + -2 - u. What is f rounded to the nearest 1000? 6000 Let o = 652 - 814. Let s = o + 161.999085. What is s rounded to 4 dps? -0.0009 Let k(h) = 3055550*h + 50. Suppose 5*p + 3*c - 2*c = 49, 2*p = c + 14. Let s be k(p). Round s to the nearest one million. 28000000 Let i(w) = 1446882*w**3 + 16*w**2 + 27*w - 69. Let y be i(-7). What is y rounded to the nearest one million? -496000000 Let y = -4.2524 - -2.7831. Let h = 0.3617 - y. Round h to 1 decimal place. 1.8 Let b be 540/(-10) + (0 - 4/2). Let x be b/((-7720)/23250 - (-1)/3). Round x to the nearest ten thousand. -40000 Suppose -3*c - 35653210 = -7*c + 5*h, -3*c - 2*h = -26739896. What is c rounded to the nearest one hundred thousand? 8900000 Let t = -24883 - -24880.3194. What is t rounded to the nearest integer? -3 Let d be (1/(-2))/(7 + 1011/(-144)). Let m(q) = d - q**3 - 23*q**2 + 57*q**2 - 1 + 3*q**3 + 22*q. Let w be m(-18). Round w to the nearest one hundred. -1000 Let s = -17081 + 17081.00041156. What is s rounded to six dps? 0.000412 Let h = 635 - 634.953729. Round h to 4 dps. 0.0463 Suppose 17*f + 9*f = 1332228341 - 6891808341. What is f rounded to the nearest 1000000? -214000000 Suppose -2*z = -3*o + 1883, 0 = -o - o - z + 1246. Suppose 6*u - 206592 = -6*u. Let f be (-4*o/2)/(8/u). Round f to the nearest one hundred thousand. -2700000 Let n = -64867 - -64866.9999965353. What is n rounded to 7 decimal places? -0.0000035 Let c = 8023.0060805 - 8023. What is c rounded to three decimal places? 0.006 Let o = -114586567.0727366 - -114586488. Let m = 0.0918366 + o. Let t = m - -79. What is t rounded to 3 decimal places? 0.019 Let i = -60 + 60.053. Let u = -0.04686 + i. Round u to 3 dps. 0.006 Let r = 15576 + -14647.9. What is r rounded to the nearest 10? 930 Let m = -6189 - -6189.00002254. What is m rounded to 6 dps? 0.000023 Suppose s = 16 - 30. Let z = s + 13. Let n be (-46800)/(12/2000*z). What is n rounded to the nearest one million? 8000000 Let k = 0.732 - -388.268. Let z = 393.86 - k. Round z to the nearest integer. 5 Let y = -0.249724861 - -0.24981. Round y to six dps. 0.000085 Let z(l) = 7*l**3 - 2*l + 5*l - 2*l - 2. Let t be z(1). Suppose t*r - 3528 = 972. Round r to the nearest 100. 800 Let o(r) = 2038*r**2 - 28*r - 9. Let m be o(6). Let t = 20191 - m. What is t rounded to the nearest one hundred thousand? -100000 Let c = 11.009 + -0.009. Let i = c + -34. Let d = 19.6 + i. What is d rounded to zero decimal places? -3 Let h = 31181215.3
{ "pile_set_name": "DM Mathematics" }
t x = 65 + -13. Let z = 48 - x. Let g = 2 - 2.2. Which is the third smallest value? (a) -2 (b) z (c) g c Let m be -2 + 4 + 22/(-8) - -1. Let k = 0 + 2/5. Which is the second biggest value? (a) -1/4 (b) k (c) m c Let i = -6.08 + 2.08. What is the third smallest value in 87, i, -0.5? 87 Let m be (1/(-39))/(-1)*(22 - 28). What is the third biggest value in -4, 2/9, m, 0.5? m Let o be 4/(-6) + 1/(-3). Let z = 1 + -1.2. Let u = z - -0.1. Which is the biggest value? (a) u (b) -4 (c) o a Let f = 0.117 + -5.117. What is the smallest value in f, 24, 4, 1? f Let o = 58 - 25. Let d = -32 + o. Suppose -1 = -m + 2*i - i, -4*m - 2*i + 22 = 0. Which is the biggest value? (a) m (b) -0.2 (c) d a Let k = 60 - 43. Let u = k + -18.4. Let g = 1 + u. Which is the second smallest value? (a) 0 (b) g (c) 0.1 a Let y = -43 + 85/2. Which is the second smallest value? (a) 15 (b) y (c) -3/7 c Suppose 2*t + 5*p = 2 - 5, 0 = 3*t + 4*p + 8. Let w = 4.848 - -0.152. What is the second biggest value in t, 3, w, 0? 3 Let s = -1159 - -1155. Which is the second biggest value? (a) s (b) 2 (c) 0.19 c Let r = -7.6 - -1.6. Let u = -4 - r. Let l = u - 2.2. What is the third smallest value in 0.3, l, 0? 0.3 Let i be (6*1)/((-168)/(-16)). Let n = 52 - 51.93. Which is the biggest value? (a) 0.5 (b) -4 (c) n (d) i d Suppose -15 = -5*z, -3*t + 4*z = -0*t + 3. Suppose -n = -t + 4. Let l = -4.096 - -0.096. Which is the third biggest value? (a) l (b) n (c) -1/4 a Let n = 0.5 + 0. Let t = 223 + -226. Suppose -11 = 5*g - 2*g + 4*d, -g + 3*d + 18 = 0. Which is the third biggest value? (a) g (b) t (c) n b Let x be (-54)/30 + (-1)/5. Let h be (-207)/594 - x/3. Let d = h - 69/44. Which is the second biggest value? (a) 2/11 (b) d (c) 0 c Let n be 32/(-3 - 5) - (-68)/18. What is the third smallest value in n, 9/4, 3? 3 Let x = 3 + -12. Let b = -179 + 177. What is the third biggest value in 0.3, b, x? x Let h be -6*(-9 + (-888)/(-99)). Which is the third biggest value? (a) h (b) -1.4 (c) 2 b Suppose -3*y - 8 = q - 8*y, 2*y = -q - 8. What is the second biggest value in 0.5, 2, q, 5/6? 5/6 Let g = 0.1 + 0.9. Let j = 24119/60060 + -16/429. Let i = j - -1/28. Which is the third biggest value? (a) -4 (b) g (c) i a Let g be (-5)/6 - (-18)/18. Which is the second biggest value? (a) 49 (b) g (c) -3/7 (d) 0.2 d Suppose -16 = 8*y - 6*y + 3*g, -g = -2*y. Let c be 96/(-2)*3/4. Let s be c/(-17) - y/(-1). What is the third smallest value in 1, -5, s? 1 Let t be 6/18*7/((-35)/(-80)). What is the biggest value in 0.2, t, 2? t Let l = 196 + -189. Which is the second biggest value? (a) l (b) -2/17 (c) -4 (d) 0.3 d Let f = -30 + 68. Let d = -71 + f. Let l be 2 - (d/27 + 3). Which is the second smallest value? (a) 0 (b) l (c) 5 b Let y = 1.99 - 4.16. Let h = y + 0.17. What is the smallest value in 1, h, 5? h Let z = -84 - -87. Suppose 2*f = -f + 3*g + 3, 18 = z*f + 2*g. Let t(d) = -d**2 - 6*d + 2. Let j be t(-6). What is the smallest value in f, j, 3? j Let o = -11 - -6. Let d = 12 + -8. Let u = 0 - d. Which is the smallest value? (a) u (b) -0.5 (c) o c Let p = -2462 - -2520. What is the third smallest value in p, 1/2, -4? p Let c = 17.33 + -1.13. Let t = c + 0.8. Let h = 16.5 - t. What is the biggest value in h, 0.5, -0.12? 0.5 Let z = -127.03 - -127. Which is the second biggest value? (a) 2 (b) -2 (c) z c Suppose 25 = c - 4*c + 4*f, -f - 5 = 3*c. Let o = 20 + 2. Let a be (2/5)/(o/55). What is the second biggest value in c, a, 0? 0 Let u = 191 + -126. Let v be u/(-25) - -4 - 1. Let s = 1.2 - 1. Which is the smallest value? (a) v (b) -4 (c) s b Let b = 6/5 + -4/5. Let x be -55*(-1 - 120/(-132)). What is the biggest value in x, 4, b, -1? x Suppose 4*u - 73 = -57. Suppose k + 2*n = -2, 0 = 3*k - 2*n - 0 - 2. Which is the second smallest value? (a) u (b) -2 (c) k (d) -4 b Let o = 910 + -910. What is the fourth smallest value in -0.79, 1, 0.2, o? 1 Let v = -317 + 1587/5. What is the biggest value in 6/5, 0.04, v? 6/5 Let s be (-129)/15 + 6/(-15). Let g be (-3)/9*s/(-5). Let o = -393 + 394. Which is the smallest value? (a) g (b) -4 (c) o b Let x = 21.012 - 0.012. Let w = -20 + x. Which is the smallest value? (a) -12 (b) 0.1 (c) w a Let h be (60/540)/((-2)/(-30)*1). Which is the second smallest value? (a) 0.34 (b) 1 (c) h b Suppose 252 - 152 = -20*k. Which is the third smallest value? (a) 0.4 (b) 1/7 (c) -1 (d) k b Suppose b = -2*g + 10, -5*g + 9 + 10 = b. What is the smallest value in 1, 5, b, 2? 1 Let o = -9.6 - -9.8. What is the second biggest value in -5, o, -13, -3/2? -3/2 Suppose 5*p + 2*f - 225 + 25 = 0, -2*f = 0. Let v be ((-184)/p)/((-38)/(-5)). Let c = v - -2/19. What is the second biggest value in 0, 0.2, c? 0 Suppose -78 = -9*j + 12*j. Let l be (-91)/j*1/7. Which is the third biggest value? (a) l (b) 8 (c) -0.5 c Suppose 3 = y - 18. Let u = 10 + y. Let z = u + -31. Which is the biggest value? (a) -0.4 (b) 9 (c) z b Let v be 1*1*2/(-2). Let f = 5.5 + -3.5. Which is the second biggest value? (a) v (b) 3 (c) f c Suppose -14 = 4*u + 14. Let o be (-4)/u + 594/63. Let p be ((-12)/30)/(2/o). What is the third biggest value in 0.4, 3, p? p Let f = -3.49 - -3.29. Which is the fourth smallest value? (a) 27 (b) f (c) -4/7 (d) 0 a Let h be 1 + 1 + (-5)/45*15. What is the second smallest value in 0.5, 0.02, h? h Let x = 0.8 - 0.3. Let i = 0.25 - 0.25. Let t = 2 - 4. What is the smallest value in i, x, t? t Let q = 0.03 + -0.63. Let l = -4.6 - q. Let j(t) = -t**3 - 11*t**2 - 9*t + 7. Let m be j(-10). Which is the second smallest value? (a) l (b) m (c) 2 b Let g = 1 - 0.8. What is the second biggest value in -5, g, -13, 5? g Let c = 218 + -227. What is the second smallest value in -0.5, c, -0.2? -0.5 Suppose -6*n + 172 = -2*n. Let m = n - 48. Which is the second biggest value? (a) 8 (b) -0.2 (c) m (d) -1 b Let h = 1114 + -1113. Let j = 1.4 - -0.6. What is the smallest value in 0.5, j, h? 0.5 Let x(d) = 5*d - 3. Let k be x(2). Suppose -23 = 6*w - k*w. What is the second smallest value in 2, w, -2/7? 2 Let t = 4 + 3. Let v = 55 - 37. Let o = v - 17.9. What is the second smallest value in t, o, -1/6? o Let o = -63.56 - -58.5. Let q = 0.06 + o. Which is the smallest value? (a) 28 (b) 5 (c) q c Let p be ((-3)/5 - 168/(-480))/(-1). Let q be ((-2)/8)/((-18)/(-8)). What is the second smallest value in p, -2, q, -0.5? -0.5 Let l = -121 - -125. Let m = 34 - 24. Which is the second biggest value? (a) l (b) -4/5 (c) m (d) -4 a Let z = -487 - -490. What is the third smallest value in -2/13, -2, 2/9, z? 2/9 Suppose 2*w + 3*g = -0*w + 18, 2*w + 4*g = 20. Let q be (-4)/w + (-22)/(-6). Let y = -0.1 - 2.9. Which is the second biggest value? (a) q (b) y (c) 3/2 c Let z = 33 + -32. Let x be (16/(-80))/(z - 0). Which is the third biggest value? (a) -5 (b) x (c) 5 a Let u be (-2)/3*(5 - 2). Let j be u/9 + (-20)/(-36). Let o be 1 - ((-14 - -12) + 34/10). What is the biggest value in j, o, -3? j Suppose 2 + 0 = t. Let w = -1.42 + 78.42. Let f = 77.3 - w. Which is the biggest value? (a) 4/7 (b) f (c) t c Let s = -94.2 - -93.9. Which is the biggest value? (a) 1/4 (b) s (c) -26.3 a Let l = -24 + 24.5. Let j = -1.1 + 0.1. What is the second biggest value in 6, j, l, -0.3? l Let g = -2 - -2.2. Let h = 17.35 + -21.35. Which is the second smallest value? (a) -0.05 (b) h (c) g a Let f = 53 - 797/15. Let w be (-34)/(-20) + -5 + 3. Let m = w - f. Which is the biggest value? (a) -5 (b) m (c) 0 c Let g = 8 - 7.3. Let o = -82 - -572/7. Let z be 0/(3 - 26/13). Which is the third smallest value? (a) z (b) o (c) g c Suppose 4*a - 2*j - 24 = 0, 3*a + 3*j = 38 - 11. Suppose a*t - 3*t - 8 = 0. Let f be (t/3)/(6/(-27)). What is the biggest value in f, 1, 0? 1 Let j = -7.05 - -0.05. Let x = j + 8.8. Which is the smallest value? (a) x (b) -2/3 (c) 0.5 b Let a be (-5)/2*(-440)/1375. What is the second smallest value in 0, a, -20? 0 Let h = 102.3 - 103.3. What is the third smallest value in 28/5, h, 0.3, 1? 1 Let y = 1.26 + 2.74. Which is the third biggest value? (a) -0.02 (b) y (c) 0.1 a Let h be ((-103)/(-1545))/(1/(20/6)). Let v = -2.9 + 3. What is the second biggest value in h, 2/7, 16, v? 2/7 Let y = 1880 - 1877. Which is the third biggest
{ "pile_set_name": "DM Mathematics" }
0, -j + m = 0 for t. 4 Let z = -985 - -995. Solve 2*h = 3*t + z, -4*t - 5 = -4*h + 15 for h. 5 Let c = 13101 + -13099. Solve 5*g - 4*k - 13 = 0, -11 - 15 = -4*g - c*k for g. 5 Let t = 37 - 32. Suppose 0 = -3*k - 5*b + 76, -t*k + 89 = 4*b - 16. Solve -2*m = -g - 8, g + 0*m + 3*m - k = 0 for g. 2 Suppose 0 = -2*z + 665*v - 662*v - 5, -2*z = -4*v + 8. Solve -o + 3*w = -4, 5 + 3 = z*o + 3*w for o. 4 Let b be 2/(-15) + (-5246)/(-645). Suppose 0 = -b*o - o + 27. Solve o*q = 2*q + 4*u + 7, -2*q = 4*u + 10 for q. -1 Suppose 5*k + 0*y - 325 = y, -3*k - 3*y = -213. Let l = 68 - k. Solve -3*s = -4*a - 2*s - 14, 0 = 2*a - 3*s + l for a. -4 Let u be (4473/(-1988))/(6/(-8)). Solve -2*j + 9 = 3*x - 4*x, u*x + 2 = j for j. 5 Suppose 4*u = 7 + 1. Suppose 0 = -3*y + s + 6, 5*y + 9 = 4*s + 19. Solve u*r - 5*c - 22 = -0*r, y*r + 3*c + 10 = 0 for r. 1 Let g(t) = -t**3 + 24*t**2 + 27*t - 46. Let x be g(25). Suppose 0*i + 15 = -3*i, -x*k = -5*i - 37. Solve -4*h - 5 = -k*j, 4*h - 2*j + 0 = -6 for h. -2 Suppose -5*o = 15*t - 180, 4*t = 2*t - 3*o + 10. Solve -2*x = -5*b - 17, -t*x + 5*b = -15*x - 14 for x. 1 Let q be 1/1 - -1*1. Let w be 3*(-9 - -8)*680/(-6). Suppose 0 = i - w + 339. Solve 1 = -d + f, -q*f + 1 = 3*d - i for d. 0 Let d(w) = -2*w**3 + 3*w**2 + 84*w + 80. Let o be d(-1). Solve 4*b + o - 17 = -2*i, -4*i + 4*b = 4 for i. 2 Suppose -x + 4*f - 18 = 8*f, -18 = 3*f. Solve 4*w - 8 = 2*s, 0 = s - x + 2 for w. 4 Let u be (-12)/102 + 1018/(-17). Let z = u + 66. Suppose -z*b + 3 = 3. Solve 0 = 3*p - y + 15, b = -5*p - 2*y - 21 + 7 for p. -4 Suppose -8*s + 273 = 5*s. Suppose -2*a = 5*j - 0*j - s, 2*j = 2*a. Solve j*r + 3*y = 0, -4*r - 5 = -y - 0*y for r. -1 Let v be (-6)/7*31/(1023/(-308)) + -8. Let f = 23 + -19. Solve 13 = -3*c - f*o, 6*c - 2*c + o = v for c. 1 Suppose 4*h - 2393 = -5*q, h + 993 - 41 = 2*q. Let y = q + -462. Solve 3*m + 5*k - y = 4*k, 0 = 5*k for m. 5 Suppose -2*l = -5*r + 248, 10*l - 5*l = 2*r - 662. Let g = l - -134. Solve -2*q = -n + 4, -q = 3*n + 2 - g for n. 0 Let x = -11849 + 11854. Let i be 3/(-12) - (-2)/8. Solve i = -a + 2*v + 1, 0 = x*a + 6*v - 3*v + 34 for a. -5 Let d = 392 + -279. Let n = -111 + d. Solve 0 = -3*k + 6, 4*k + 12 = 6*j - n*j for j. 5 Let i(u) = -2*u**2 - 15*u + 277. Let a be i(-16). Solve -41*z + 43*z + 22 = -4*f, -a*z - 5*f - 30 = 0 for z. -1 Let n(j) = 5*j**2 - j + 4. Let l = 185 - 185. Let z be n(l). Solve -2*c + 4*t - 24 = 0, -12 = -c - z*t - 0*t for c. -4 Let z be (-195)/(-60) + (-80)/64. Solve 0 = -3*b + 2*l - 0*l + 17, 2 = -z*l for b. 5 Let q = 1191 - 547. Let f = q - 640. Solve 3*d - f = -4*n, 0 = 4*n - 4*d - 1 - 3 for n. 1 Let c be (5/2)/((25/10)/5). Suppose c = 14*x - 9*x. Solve 2*z + x + 9 = 5*h, 3*z = -5*h - 15 for z. -5 Suppose 30700*q - 30391*q - 3708 = 0. Let d(c) = -c**2 + 4*c + 2. Let u be d(4). Solve r + 3*j = -2*r - q, u = 2*j for r. -5 Let y = -12219 + 12223. Solve 2*u = -3*r - 0 + 15, -5 = -r + y*u for r. 5 Let j(i) = 2*i**2 + 7*i - 1. Let n be j(-4). Suppose -n*b = -4*b - 45. Let l = -39 - b. Solve -4*u = -2*m + 4*m - l, m = -5*u + 12 for m. -3 Suppose -9*x + 8*x - 3*t + 187 = 0, 5*t + 187 = x. Let y = -184 + x. Solve -5*z + 3*r - 10 = r, -y*r = -2*z - 4 for z. -2 Let p be ((-417)/(-12))/((-1)/12*3). Let d = p + 145. Solve -5*u = 0, -3*q + d + 9 = u for q. 5 Suppose 4*o + 30 = -3*d, 5*o - d = -6*d - 40. Let j(k) = k**3 + 5*k**2 - 6*k + 2. Let y be j(o). Solve 4*x = -y*r - 2, 0*x - 11 = -2*x + 3*r for x. 1 Suppose 0 = -11*j - 2 + 90. Let t(n) = -5*n**2 + 39*n + 8. Let z be t(j). Solve -5*o = -4*g + 10, 2*o - 4*g + 0*g + 4 = z for o. -2 Let u = -29914 + 29931. Solve 0 = 5*f - 4*d - 16, -4*f + 2*d - 9 = -u for f. 0 Let k = -9169 + 9193. Solve 0 = 4*q + 2*z + 2, -5*q - 25 = -k*z + 19*z for q. -2 Let p(c) = -5*c**3 - c**2 + 2*c + 8. Let w = -128 - -126. Let l be p(w). Let j be (0 + 32/10)*l/16. Solve -3*i - i + 5*d - 17 = 0, -3*i = d + j for i. -3 Let o = 129 - 45. Let g = o + -90. Let z be g/9 - (-10)/15. Solve z = -m - u + 2*u - 1, -5*u + 35 = 5*m for m. 3 Let f(w) = 15*w + 47. Let k(l) = 2*l. Let p(o) = f(o) - 5*k(o). Let g be p(-9). Suppose -73 = -g*d - 63. Solve -2*y = -4*v + 20, -d*v + 3*y + 25 = -2*y for v. 5 Let s(k) = -k**3 + 13*k**2 - 7*k - 56. Let n be s(12). Let b be -6*(-1 + n/3) - -6. Solve b*p + 11 = -x, -x - p = -2*p - 9 for x. 5 Let b(s) = -s**3 - 2*s**2 + 4*s + 16. Let d = -317 + 317. Let c be b(d). Solve 4 = 2*u, -3*f - 2*u + c = -0*f for f. 4 Let c = -374 + 372. Suppose 929 = 5*u + 29. Let n be c/17 + u/85. Solve 2 = 4*z - 0*y + n*y, 1 = z + y for z. 0 Let s = -421 + 752. Let t = -205 + s. Let q be (72/14)/(27/t). Solve 4*b - 5*h = 33, 0*b - q = -2*b + 4*h for b. 2 Let o = -213 - -244. Suppose 16*n - o = 1. Solve h + 2 - 11 = -4*z, -4*h + 8 = n*z for h. 1 Let t(a) = a**3 + 15*a**2 - 25*a - 139. Let k be t(-16). Solve -x = k*p + 22, -4*x - 12 = -8*x for p. -5 Let u(w) = 4*w - 14. Let s be ((-4)/(-2))/(12/30). Let r be u(s). Suppose -8*g = -5*g - r. Solve g*h = 3*b + 4*h + 5, 5*h = 2*b - 22 for b. 1 Suppose -2 = 2*q, 4*i - 35*q - 2483 = -36*q. Let y be (-4)/68 + i/153. Solve d - 20 = y*z, -4*d - z + 19 = 7 for d. 4 Let j be (-1)/((4 - 6)/(258/3)). Suppose 3*n + j = 5*f, 0 = 3*f + 5*n - 26 + 7. Solve x - 4*s = -f, x - s = 3 - 2 for x. 4 Suppose 0 = 2*t - 0*t - 8. Let j be 847/21 - t/(-6). Suppose -9*n - 5 = -j. Solve -n*c - c + 2 = -x, -c = -4*x - 8 for c. 0 Suppose 3*u + 4*v + 0*v = -1, -5*v = 5*u. Let f be u/(-4)*24/(-18)*-57. Let h = 23 + f. Solve -4*r + 4*i = -16, -5*r - 2*i - i - h = 0 for r. 1 Let f = -1541 - -1561. Solve 0 = d + 1, 5*d + f = -0*h - 5*h for h. -3 Suppose -77 + 65 = -6*r. Let o(j) = j**2 - 9*j - 10. Let q be o(10). Solve -a = 2*f - q*f - 10, -r*f = -a - 10 for a. 0 Suppose 2*n + 525 = -5*n. Let d be (-4592)/80 + 3/(-5). Let l = d - n. Solve 4*t = 4*a - 4, 5*a = 3*a - 3*t + l for a. 4 Let n be (16/12)/((-6)/198). Let p = n + 46. Suppose p*q = -9 + 15. Solve -2*o - q*o = c - 23, -3*o - c + 13 = 0 for o. 5 Let v be 2/(-4)*-90 - -6. Suppose -57 = -9*y + v. Solve -2*j = -4 + y, -5*g - 3 = 2*j for g. 1 Let v = 283 - 276. Suppose -5*z - 21 = -2*q, -12 = -v*q + 4*q + z. Let h be -1 + (3 - (1 + -2)). Solve h*b - 5*y = -25, -2*b + q*y - 16 + 0 = 0 for b. -5 Let r be 80/24*(-6)/(-4). Solve 0 = r*h - i - 6 - 6, -3 = -i for h. 3 Let p(g) = g**3 - 7*g**2 + 27*g - 82. Let x be p(5). Solve -2*k = -2*y - 8, x*y + 0*y = -5*k + 12 for k. 3 Let t = -258 + 262. Solve -t*h - 4*n = -9*n - 27, 2*h - 4*n - 18 = 0 for h. 3 Suppose 5*t - 2*v - 1 = 4, -4*t = 5*v - 37. Let c(f) = -16*f**2 - 1310*f - 1134. Let i be c(-81). Solve -d = y - 6, i = -t*d + 3*y - y + 3 for d. 3 Let w = -168 - -163. Let t be (w + 3)/(4/(-6)). Solve 5*b + 4*x - t = 28, b = 3*x - 9 for b. 3 Let m(f) = 3*f**3 + 15*f**2 + 29*f + 145. Let z be m(-5). Solve -2*k - 3*r = -13, z = -r - 2 + 7 for k. -1 Let p = -34 - -108. Let x = -72 + p. Solve x*i = 5*c - 4, -5*c + i + 2 = -0*i for c. 0 Let g = 6235 + -6234. Solve -g - 4 = -3*m + z, 5*m - 5*z = 15 for m. 1 Let x(t) = -t**3 - 3*t**2 + 3*t. Suppose 9*d = 23 + 94. Suppose -2*u = -5 + d. Let s be x(u). Solve -3*g = s*j + 12, 4*j + 12 = 2*g - 0 for g. 0 Suppose -131*i = -125*i - 6. Let x be (i - -4)/((9 - -2)/11). Solve 0 = -0*p - 4*p - x*n - 22, 4*n = -8 for p. -3 Suppose 5*w + 32 = 5*m - 3, 2*w = -m - 2. Suppose 7*t - 3*t = m*a - 20, -10 = 2*t. Suppose 2*c = -2*c. Solve 2 = 4*b - c*b + 2*r, a = b - 5*r - 28 for b. 3 Let p = 869 + -1388. Let n = -516 - p. Solve 0 = -n*o - 5*x + 1, -3*o + 2*x = -2*x - 10 for o. 2 Let u(k) = 16 + 16 - 39 - k. Let c be u(-5). Let b be (11 + -33)/(c + 0). Solve -b = z - 3*j, -2*z - 2*j + 2 = -16 for z. 4 Suppose -55 = -12*q + 5. Let f(i) = 2*i - 5. Let z be f(q). Suppose y - z*y - 5*k + 8 = 0, -4 = -2*y - k. Solve -17 = 2*b + 5*o, y*b + 2 = -3*o - 9 for b. -1 Suppose -t - 2*s + 0*s - 140 = 0, 5*s - 10 = 0. Let w = -141 - t. Suppose -w*k = -q - 40, -4*q + 65 = 5*k - 2*k. Solve -5*y - 20 = -m, -4*y - k - 1 = -m for y. -4 Suppose 4*h + 16 = 0, h = -147*u + 148*u - 7. Suppose 3*f - y - 11 = 2*f, 8 = -4*y. Solve 0*v + u*g = 3*v - f, 5*v + g = 15 for v. 3 Let u = -9 - -11. Let w(i) = 2541*i - 2532. Let n be w(1). Let p = 6 - 3. Solve -m - u*m + x + 9 = 0, 0 = -p*x + n for m. 4 Suppose 0 = 2*v + 46 + 98. Let a = v + 74. Suppose -z + 2 = 0, 0 = -3*n + 5*z -
{ "pile_set_name": "DM Mathematics" }
ng order. 2/13, 1/6, c, 14 Suppose 15*u + u = -80. Suppose -3*d + d = 6. Sort d, 1, 5, u in decreasing order. 5, 1, d, u Let m = 967/176 - -1/176. Sort -3/4, -5, 2/15, m. -5, -3/4, 2/15, m Suppose 4*o + 3*w = 64, -3*o - 7*w + 55 = -3*w. Suppose o = -5*b + 93. Let c be (6/b)/((-9)/(-12)). Sort 2/5, c, 3/7 in increasing order. 2/5, 3/7, c Suppose 5*c = 5*s - 30, -s + 3*c + 21 - 7 = 0. Put 1, -4, s in descending order. s, 1, -4 Let w = -804 + 817. Sort 0.05, -0.1, w in ascending order. -0.1, 0.05, w Let v = 3.08 - 1.08. Sort 1, v, 0 in descending order. v, 1, 0 Let m = 0.008 + -0.208. Sort -0.5, -3, m in ascending order. -3, -0.5, m Let q = -4 + 8. Let v = -4.3 + q. Let z = 0.169 + 0.031. Put v, z, 5 in ascending order. v, z, 5 Suppose -4*q + 31 - 15 = 0. Sort q, 5, 1 in decreasing order. 5, q, 1 Suppose -6 = -3*f, -2 = 4*p + 5*f - 0*f. Let s be 4/p*(30 + 0). Let w be s/104*4/10. Sort 0, -0.1, w in decreasing order. 0, -0.1, w Let r be (-13 + 2)*(23 - 24). Put 0.3, 9/2, r, 1/6 in decreasing order. r, 9/2, 0.3, 1/6 Suppose -p - 2*p = -9. Suppose -3*m + p*h + 42 = 0, 0 = -4*h - 13 - 3. Put 5, m, -1 in increasing order. -1, 5, m Suppose 10 = -18*f + 23*f. Suppose 2*c - 4 = 2. Put -5, -1, c, f in decreasing order. c, f, -1, -5 Suppose -5*d = -81 + 41. Let i(j) = -j + 13. Let b be i(d). Put 0, 4/9, b, 81 in decreasing order. 81, b, 4/9, 0 Let u be 1/(-5)*(3 - 0). Let r(h) = 5*h**2. Let v be r(-1). Suppose -i = -0*i + v. Sort u, 9, i. i, u, 9 Let i = -50 + 62. Let z be 4/i*3 + 0. Let o = -11 + 7. Sort z, o, -3 in descending order. z, -3, o Let z = -60 - -46. Let r = -15 - z. Sort r, 3/5, -4, 5 in ascending order. -4, r, 3/5, 5 Let l = 0 + 0.05. Let c = -7.95 - l. Let y = 174.9 + -175. Sort 2/13, c, y. c, y, 2/13 Let p = 40 - 44. Let m be -15 - -17 - (-1 + (-25)/(-9)). Sort m, -5, p, 4/5. -5, p, m, 4/5 Let l = 3.5 - 3. Let r = -19 - -19.4. Let x = -633 + 638. Put l, r, x in decreasing order. x, l, r Let a = 0.08 + 2.92. Let d = -5 - -3. Let h = 13 - 16. Put d, h, a in ascending order. h, d, a Let a = -4/97 + 4474/291. Sort -2, a, 1 in ascending order. -2, 1, a Suppose 0 = -6*t - 24 + 18. Sort -3, 0, 3, t. -3, t, 0, 3 Suppose 945 = 46*q - q. Sort -22, q, 1, 0 in decreasing order. q, 1, 0, -22 Let z = -24.2 - -24. Let r = -1.6 - -1.2. Sort z, r, 5 in increasing order. r, z, 5 Let i = -72 - -72. Suppose 2*t + 42 - 36 = i. Put 2, -2, t, -5 in ascending order. -5, t, -2, 2 Let g = -14.9 + 15. Let i = -10.5 + 31. Let s = i - 21. Put g, -3, s in ascending order. -3, s, g Let b = -78 - -97. Sort b, -3, 5, -1 in decreasing order. b, 5, -1, -3 Let d(o) = 2*o**2 + 2*o + 1. Let a be d(-1). Suppose 17 = 5*y - t - 10, 2*y + 5*t - 27 = 0. Let m = 6 + -7. Sort a, m, y in decreasing order. y, a, m Let r = 534 - 534. Sort r, 2, -1, 15. -1, r, 2, 15 Let d be (-171)/(-15) + 8/(-20). Suppose 0 = 2*c - 5*c + 36. Suppose -14*g = -d*g + c. Sort -2, 2, g in descending order. 2, -2, g Let s be (-1334)/(-1771) - 8/14. Let j be (28/(-6) - -1) + 0. Sort -5, j, s in decreasing order. s, j, -5 Suppose -26*v + 15*v + 11 = 0. Sort v, 4, -25 in increasing order. -25, v, 4 Let j = 575 + -575.1. Put -4, j, 2/19, 12 in decreasing order. 12, 2/19, j, -4 Let k = 1 + -0.85. Let q be 3*16/36*-3. Let d = -471 + 471. Put q, k, d in decreasing order. k, d, q Let c be 0/((-1)/(5/(2 + 18))). Put c, 378, 1 in descending order. 378, 1, c Let c = 2 + -89. Let y = c - -88. Put 2/7, 0.17, y in increasing order. 0.17, 2/7, y Let q = 1 - 1. Let l be 99/(-21) - 8/28. Put q, 3, l in increasing order. l, q, 3 Let h(s) = s**3 - 14*s**2 + 7*s + 18. Let g be h(14). Let y = g + -111. Let w = 2 - 2. Sort y, -1, w in decreasing order. y, w, -1 Let u be 5/(210/96) + -2. Let d be (10/11)/(-5)*1. Put -2/5, u, 3, d in ascending order. -2/5, d, u, 3 Let b be -2*(-1)/(-2)*0. Let r be 9/4 - 1/4. Suppose 19*x + 5*l = 14*x + 30, x - 4*l + 4 = 0. Sort x, r, b in ascending order. b, r, x Suppose 0 = 3*c - 4*p + 19, -2*p + 4 = -2*c - 6. Let h(i) = 2*i**3 - 31*i**2 + 22*i - 93. Let j be h(15). Sort -2, j, c. -2, c, j Let v = 1.2 + -16. Sort -0.2, v, -4, -5. v, -5, -4, -0.2 Let b = -9.64 + 3.64. Sort 1/7, b, 3, 0 in ascending order. b, 0, 1/7, 3 Let f = 145 - 140. Sort 1, 0, f, 2 in decreasing order. f, 2, 1, 0 Let w = -157 + 153. Sort -9, 4, -1, w in decreasing order. 4, -1, w, -9 Let c = -230.0397 + 0.0397. Let l = c - -219.9. Let u = l - -10. Put -2/7, u, 1/4 in ascending order. -2/7, u, 1/4 Let c(l) = -46*l**3 - l - 7 - 7*l**2 + 8*l + 47*l**3. Let w be c(6). Suppose -n - 3 + 1 = 0. Sort 2, n, w in descending order. 2, w, n Let o = 393 + -398. Sort 7, -3, 5, o in ascending order. o, -3, 5, 7 Suppose -17*s + 10*s + 14 = 0. Put 4, s, -25, -1 in descending order. 4, s, -1, -25 Let o = 2 + -4. Let z be (-3 - 1)/(4 - 16/3). Suppose 2 = z*q + 2. Put q, o, 5 in descending order. 5, q, o Let j = -0.04 - -0.44. Suppose 8 + 12 = 5*r. Let y = r - 5. Sort j, -0.3, y in decreasing order. j, -0.3, y Let z = -202 - -197. Sort 0.5, -0.4, 14, z. z, -0.4, 0.5, 14 Let x = 18 + -2. Put -5, -8, x in ascending order. -8, -5, x Let q be ((-32)/(-68))/4 + (-2945)/323. Put 6, 0, q, 0.4 in increasing order. q, 0, 0.4, 6 Let n = -1770 - -1923.8. Let v = n + -154. Sort 2/9, v, -26. -26, v, 2/9 Suppose 20 = 5*n, -3*n + 15 - 1 = i. Sort -2, i, -1, 4. -2, -1, i, 4 Let k = -8 - -6. Let h be (12/(-15))/((-7)/5 - -1). Let n = 1124/9 - 125. Put n, k, h in decreasing order. h, n, k Suppose -4*o + 16*o - 36 = 0. Sort -12, 0, o in ascending order. -12, 0, o Let x = -50 + 54. Suppose -5*s = -4*u + 25, 4*u = 2*u - 5*s + 5. Suppose -u*v + 28 = 3. Put -3, x, v in descending order. v, x, -3 Let g(o) = o**2 + 4*o - 6. Let y be g(-6). Suppose 5*i - 19 - y = 0. Put i, -2, -0.6 in descending order. i, -0.6, -2 Let w = 13 + -12.91. Let n = -21 - -21.11. Let g = n + w. Put g, 0.4, 4 in ascending order. g, 0.4, 4 Suppose 0 = d - 4*s + 2 + 1, -2*d + 8 = -s. Sort d, 210, 4 in increasing order. 4, d, 210 Suppose 0 = -5*x + 18*x. Sort -3, -17, x in decreasing order. x, -3, -17 Let f(g) = g**2 + 32*g - 111. Let m be f(-35). Put m, 3, 1 in descending order. 3, 1, m Let o = -612 + 612.1. Let g = -0.04 + 3.04. Put -0.2, g, -0.5, o in descending order. g, o, -0.2, -0.5 Let m = -45.77 - -46. Let x = m - -0.07. Put x, 0.2, 0, 0.5 in decreasing order. 0.5, x, 0.2, 0 Let k be -9 + (-2)/(20/(-70)). Suppose -3*a + 8 = -1. Sort -19, a, k. -19, k, a Let m be 276/36*6/2. Suppose m*o = 24*o. Put o, 21, 2 in increasing order. o, 2, 21 Let r(q) = 2*q**3 - 7*q**2 + 10. Let h be r(3). Sort h, 6, -5 in decreasing order. 6, h, -5 Let v = -105.4 + 93.59. Let x = 1.51 + v. Let w = x - -10. Put -4, 4, w in decreasing order. 4, w, -4 Let g = 8988 + -8983. Suppose 48 = 5*i + 4*t - 20, -46 = -3*i - 5*t. Put i, 2, g, -3 in descending order. i, g, 2, -3 Let i(n) = -n**2 + 17*n - 51. Let z be i(6). Suppose 0 = 30*v - 33*v + z. Put v, -5, 13 in decreasing order. 13, v, -5 Let n be (-14)/28*(0 + -6). Let w(u) = -u**2 + 2*u + 4. Let b be w(-2). Put n, b, 2 in descending order. n, 2, b Let j be (0/(4 + -1))/(-2). Let f = -0.46 + -0.04. Sort 23, f, -2/17, j in descending order. 23, j, -2/17, f Let l = -12 - -19. Let u(r) = -r**2 - 3*r + 131. Let d be u(-13). Sort -2, l, d in descending order. l, d, -2 Let b(t) be the second derivative of t**5/20 - 3*t**4/4 + t**3/6 - 13*t**2/2 - 10*t. Let l be b(9). Sort l, 5, -3 in decreasing order. 5, -3, l Let b be (4/10)/((-3)/15). Suppose -14*r = 6*r - 60. Put -3, b, 0, r in decreasing order. r, 0, b, -3 Suppose -21*r = 2*c - 22*r + 7, 3*c - 2*r = -10. Let x(b) = b**2 + 6*b + 2. Let m be x(-6). Sort 3, -1, m, c. c, -1, m, 3 Let x = -329 + 346. Put -5, x, 4, -3 in ascending order. -5, -3, 4, x Let r = -9 - -7. Sort r, 2, 0.02, -5 in decreasing order. 2, 0.02, r, -5 Let u(z) = 2*z - 4. Let x be u(5). Let s = 3531 + -3532. Put s, 5, x in descending order. x, 5, s Let j(r) = -r**3 - 4*r**2 + 13*r + 6. Let q be j(-6). Let b be ((-110)/(-44))/((1 - q)/(-2)). Sort 1, b, -3, 3 in ascending order. b, -3, 1, 3 Suppose 23 - 39 = d - 5*z, 5*d + 34 = 2*z. Sort -3, -4, d, 4 in increasing order. d, -4, -3, 4 Let g(w) = -42*w**2 - 252*w - 1. Let x be g(-6). Let u = -9 + 4. Put 2, x, u, -4 in descending order. 2, x, -4, u Let f = -0.01 + 9.01. Let p = 8.92 - f. Let d = 0.13 + p. Put d,
{ "pile_set_name": "DM Mathematics" }
281239. 17 Calculate the greatest common divisor of 42119 and 91. 7 What is the greatest common divisor of 152701 and 311? 311 What is the greatest common factor of 4122 and 36? 18 Calculate the highest common divisor of 2533882 and 164. 82 What is the highest common factor of 159294 and 53376? 834 Calculate the highest common factor of 426 and 1182. 6 Calculate the greatest common factor of 3616 and 57696. 32 Calculate the highest common factor of 42922 and 55. 11 What is the greatest common factor of 1254 and 1824? 114 Calculate the greatest common factor of 6000 and 972. 12 What is the highest common factor of 42 and 1037610? 42 Calculate the highest common factor of 38675 and 13175. 425 Calculate the highest common factor of 28782 and 2583. 369 Calculate the highest common divisor of 22 and 914419. 11 What is the greatest common divisor of 126 and 23454? 18 Calculate the highest common divisor of 513 and 253574. 19 What is the greatest common divisor of 10945624 and 8? 8 What is the highest common factor of 120601 and 13? 13 Calculate the greatest common divisor of 9035 and 8618. 139 Calculate the highest common factor of 15873 and 87. 3 What is the greatest common factor of 399681 and 135? 27 Calculate the greatest common factor of 260 and 4554680. 260 Calculate the highest common divisor of 290 and 282344. 58 What is the highest common factor of 1450416 and 3280? 656 Calculate the highest common factor of 7161 and 140294. 77 Calculate the highest common factor of 1300 and 23500. 100 Calculate the greatest common factor of 15562 and 24598. 502 Calculate the highest common divisor of 1322 and 10. 2 Calculate the highest common divisor of 50 and 5531025. 25 What is the greatest common divisor of 8944 and 30272? 688 Calculate the highest common divisor of 375 and 27625. 125 What is the greatest common factor of 58519 and 139? 139 What is the highest common factor of 384 and 17268? 12 What is the highest common divisor of 836 and 297671? 11 Calculate the greatest common factor of 12 and 94254. 6 What is the greatest common factor of 232179 and 1203? 1203 Calculate the greatest common divisor of 338 and 244010. 26 Calculate the greatest common divisor of 17 and 1079075. 17 What is the highest common factor of 341 and 8888? 11 Calculate the greatest common divisor of 614040 and 245. 35 What is the highest common factor of 1424 and 2179432? 712 What is the greatest common factor of 215021 and 1219? 53 Calculate the greatest common divisor of 1950 and 1924. 26 Calculate the highest common divisor of 207 and 1583688. 69 What is the highest common divisor of 110 and 182670? 10 Calculate the greatest common divisor of 5 and 292935. 5 Calculate the greatest common divisor of 188608 and 728. 56 What is the highest common factor of 9 and 37143? 9 What is the highest common divisor of 2 and 1131934? 2 What is the highest common divisor of 290521 and 374? 11 Calculate the greatest common factor of 26753 and 19849. 863 What is the greatest common factor of 4112 and 60? 4 Calculate the highest common factor of 105108 and 4332. 228 Calculate the greatest common factor of 37830 and 705. 15 Calculate the highest common divisor of 12152 and 19992. 392 What is the highest common factor of 58501 and 133? 19 Calculate the greatest common factor of 255 and 1921. 17 Calculate the greatest common divisor of 30873 and 1599. 123 Calculate the highest common divisor of 352 and 40051. 11 Calculate the greatest common divisor of 4 and 41466. 2 Calculate the highest common factor of 9054 and 2515. 503 Calculate the highest common divisor of 345914 and 19. 19 What is the highest common factor of 954477 and 405? 27 Calculate the highest common factor of 995 and 716997. 199 What is the highest common factor of 172707 and 69? 69 Calculate the greatest common factor of 43092 and 13338. 1026 What is the highest common factor of 1604047 and 178? 89 Calculate the greatest common divisor of 24 and 9876. 12 Calculate the highest common factor of 800 and 23050. 50 What is the greatest common divisor of 1652 and 868? 28 Calculate the highest common divisor of 1339890 and 3540. 1770 What is the greatest common factor of 7812 and 3654? 126 Calculate the highest common factor of 4375120 and 1360. 1360 Calculate the highest common divisor of 204 and 138132. 12 Calculate the highest common divisor of 105 and 1061655. 105 What is the highest common factor of 7434 and 37566? 18 Calculate the greatest common factor of 3054072 and 1908. 636 What is the greatest common factor of 1095 and 4425? 15 Calculate the greatest common divisor of 62 and 15562. 62 Calculate the greatest common factor of 8438 and 22. 2 What is the highest common factor of 1092 and 220164? 84 What is the highest common divisor of 2308780 and 8? 4 What is the highest common divisor of 64 and 15536? 16 Calculate the greatest common divisor of 1369253 and 397. 397 What is the greatest common factor of 4192 and 4912? 16 What is the greatest common factor of 1819 and 8988? 107 What is the greatest common factor of 34048 and 21812? 532 What is the highest common divisor of 55610 and 1328? 166 What is the greatest common factor of 58595 and 10? 5 Calculate the greatest common factor of 102843 and 1053. 351 Calculate the highest common divisor of 19 and 2753081. 19 What is the greatest common divisor of 59584 and 15124? 76 Calculate the highest common factor of 2873 and 143. 13 Calculate the highest common factor of 7797289 and 2122. 1061 Calculate the greatest common factor of 598 and 49933. 299 Calculate the highest common divisor of 53747 and 142. 71 Calculate the greatest common divisor of 60 and 37212. 12 What is the highest common divisor of 225712 and 64? 16 Calculate the greatest common divisor of 42432 and 8398. 442 What is the highest common factor of 21351 and 2269029? 1941 Calculate the highest common factor of 464 and 2255504. 464 What is the highest common factor of 98 and 138474? 98 What is the greatest common divisor of 2210 and 9690? 170 Calculate the greatest common divisor of 55704 and 3165. 633 Calculate the greatest common divisor of 1633 and 5893. 71 What is the highest common factor of 78550 and 20? 10 What is the highest common divisor of 304 and 823612? 76 What is the greatest common divisor of 22 and 352880? 22 Calculate the highest common divisor of 649 and 1180. 59 Calculate the greatest common factor of 177 and 111. 3 What is the highest common factor of 8 and 265492? 4 Calculate the greatest common divisor of 5406 and 4134. 318 Calculate the greatest common divisor of 7029 and 657. 9 What is the highest common factor of 10922139 and 603? 603 Calculate the greatest common factor of 1240 and 4040. 40 What is the highest common factor of 121 and 8646? 11 Calculate the highest common factor of 69324 and 1696. 212 What is the highest common factor of 7805 and 35? 35 What is the highest common factor of 2112 and 165264? 528 What is the greatest common divisor of 34986 and 102? 102 What is the highest common factor of 228 and 42332? 76 Calculate the highest common factor of 81787 and 663. 17 Calculate the greatest common divisor of 672 and 1491. 21 Calculate the highest common factor of 8 and 23228. 4 What is the highest common divisor of 17918 and 1751? 17 Calculate the greatest common factor of 14259 and 245. 49 Calculate the highest common factor of 173 and 153278. 173 What is the greatest common factor of 101269 and 966? 161 What is the greatest common divisor of 450 and 482? 2 Calculate the highest common factor of 6761975 and 737. 737 What is the greatest common factor of 9701 and 53519? 109 What is the greatest common divisor of 4674 and 14104? 82 Calculate the highest common factor of 6794 and 4558. 86 What is the highest common divisor of 3012 and 135791? 251 Calculate the greatest common divisor of 233064 and 168. 24 What is the highest common factor of 233709 and 8029? 217 Calculate the greatest common divisor of 36344 and 190344. 616 Calculate the highest common divisor of 322885 and 5. 5 Calculate the greatest common factor of 69 and 12098. 23 Calculate the highest common divisor of 102060 and 1860. 60 Calculate the greatest common factor of 3402 and 1260. 126 What is the greatest common fa
{ "pile_set_name": "DM Mathematics" }
w. 4 Let y = -22 + 34. Let f = y + -4. Let m be 4/(-8)*(2 - f). Solve -2*g = m*g for g. 0 Let r(g) = 7*g**2 - 21*g + 5. Let k be r(4). Solve -k + 25 = -2*o for o. 4 Suppose -23*u = -13*u - 90. Solve 0 = -2*r + u - 3 for r. 3 Let b(a) = -15*a**2 - 1. Let m be b(-1). Let g(p) = p**3 + 17*p**2 + 17*p + 19. Let l be g(m). Solve r - l = -1 for r. 2 Suppose 0*r = -4*r + 20. Suppose -6*d = r*v - 3*d + 30, -2*v = 5*d + 31. Let f be (-3)/(v - 0) + -1. Solve f = 5*t - 0*t for t. 0 Suppose 54 = -10*p + 16*p. Solve p + 0 = -9*a for a. -1 Suppose -127*p + 77*p + 400 = 0. Solve 17 = -p*n - 15 for n. -4 Suppose -4 = i - 3*i, -10 = -2*k - 5*i. Solve 5*p - 49 + 59 = k for p. -2 Let l be 30/18 + 4/(-6). Let h be l*(2 - 5)/(-1) + 13. Solve 0 = 3*o + o + h for o. -4 Let q(y) = y**3 - 15*y**2 + y - 11. Let o be q(15). Suppose 0 = -2*w + w + o*w. Solve w = 5*u - 2*u + 12 for u. -4 Let t be (-420)/(-98) - (-2)/(-7). Suppose 10 = -25*d + 30*d. Solve 0 = t*i + 10 + d for i. -3 Let g be (-4)/12*0 + 1 + -2. Let u(z) = -2*z + 1. Let f be u(g). Solve f = 2*h - 3 for h. 3 Let x be (-14)/35 + 237/5. Let d = -42 + x. Solve 0 = c - 3 + d for c. -2 Suppose -6 + 0 = -6*u. Let p be u - ((-1 - 3) + 10). Let q(t) = -t**3 - 5*t**2 - t - 1. Let n be q(p). Solve 3*m + n = 7*m for m. 1 Let g = -32 + 35. Solve 5*w - 23 = -g for w. 4 Let b be (1 - -13)*22/77 - 4. Solve -7*s + b*s = 0 for s. 0 Let l be (440/(-77))/(2/(-7)). Solve 0*v = 4*v - l for v. 5 Let o be 15/(-6)*(-12)/10 - 0. Solve -o*n + 2*n + 4 = 0 for n. 4 Let c(z) = 5*z**2 - 60*z + 2. Let u be c(12). Let l(f) = 2*f**2. Let n be l(1). Solve 8 = n*t + u for t. 3 Let n = -13 - -19. Let g(x) = x**2 - x - 7. Let v be g(n). Suppose h - v = -4*d, 0*d + 8 = d + h. Solve -p - 4 = -d*p for p. 1 Let z(x) = -x**2 + 15*x - 15. Let l(y) = -2*y + 12. Let k be l(0). Let g be z(k). Let s = 21 - g. Solve s*o - 5*o = 0 for o. 0 Suppose 3*y = -i + 9, -2*y - i = -3 - 3. Let h be (-1 - -3 - -1)*1. Suppose 2*p - 18 = h*r - 76, -p = 3*r - 61. Solve o + y*o + r = 0 for o. -5 Let b = 37 + -14. Let j = b + -21. Suppose 7 + 3 = 5*l. Solve l + 8 = j*d for d. 5 Let t = 109 - 156. Let h = t + 49. Solve h + 8 = 5*n for n. 2 Let q(b) = -b. Let w be q(0). Let i be (-121)/22*(-3 - (-1 + w)). Solve -1 = 5*y - i for y. 2 Suppose -1 + 7 = 2*w. Let p be ((-3)/(-9) + 10/6)*2. Solve 0 = s + w*s - p for s. 1 Let g be (-2*2)/2 - 4. Let j = 5 + g. Let d be (2 + j - -9)/2. Solve 4*a = -1 + d for a. 1 Let g(p) = p**3 - 2*p**2 + p + 1. Let q be g(2). Solve -q*u - 3*u = -30 for u. 5 Let w = -13 + 10. Let c be 1 - (2 + w)/1. Suppose a - c = -0*a. Solve a*d - 4 = -0 for d. 2 Let j be 1*-2*1*3976/(-112). Let n = j + -71. Solve n = -5*a + 2*a + 6 for a. 2 Let g = 7 + -7. Suppose 6*h + 0*h - 12 = g. Solve -h*j + 7 + 3 = 0 for j. 5 Suppose 16 = 2*o + 2*o. Let k be 3 + o + -1 + -2. Solve 0*r = 4*r - k for r. 1 Let k = -516 - -516. Solve 0 = 2*v + 6 - k for v. -3 Suppose -25*c + 23*c = -8. Suppose c*o - 35 = -3*l, 2*l + 0*l - 22 = -2*o. Solve 0 = -0*i - 3*i + l for i. 3 Let n(m) = -m**3 + 3*m**2 + 7*m + 1. Let u be n(4). Let s be 2/u - 400/(-104). Solve -9 + 1 = -s*h for h. 2 Let l(q) be the third derivative of 0*q**3 - 1/120*q**6 + 0*q**5 + 0*q + 1/24*q**4 + 0 + 8*q**2. Let x be l(-1). Solve x = -0*o - o + 5 for o. 5 Suppose -w - 2*p = 0, -w + 3*p = 2*w. Solve w = 3*n - 7 + 1 for n. 2 Let v = -51 + 23. Let a = 48 + v. Solve a = -6*i + 2*i for i. -5 Let p(l) = 0*l - 4*l + 3 + l. Let t be p(0). Solve t*a + 2 = 17 for a. 5 Let l = 371 - 367. Solve -l*t - 6 = -18 for t. 3 Let s(l) = l**2 + 8*l - 9. Let z be 2 + (-9 - (-4)/(-2)). Let y be s(z). Solve y = 3*a - a + 6 for a. -3 Let n = 0 - -1. Let d = -1 - 2. Let s be 4/(4 + d/n). Solve b = -s*b - 20 for b. -4 Suppose v + 1 = -2*b, b - 3*v - 8 = 2*b. Let z(j) = 18*j + 2. Let u be z(1). Let g be (-6)/4 + 5/(u/14). Solve g*n = 3*n + b for n. -1 Suppose 0*x = 5*x - 40. Suppose 0 = 2*u - x + 2. Let z be (-4)/((-44)/(-20) - u). Solve 10*p - 15 = z*p for p. 3 Let c(a) = 9*a + 381. Let k be c(-42). Let o be (-2)/(-2*1/5). Solve o*t + 2 = -k for t. -1 Let d be (21/15 + -2)/((-3)/15). Solve 2*v - 2 = d*v for v. -2 Let w(y) = -y**2 - 27*y + 38. Let a be w(-28). Solve -56 + 6 = a*d for d. -5 Suppose 3 = -33*r + 34*r. Suppose -r*p - 2*p + 10 = 0. Suppose p*s - 20 = -3*s. Solve 0*y = 4*y - s for y. 1 Let y be 4/6 + 767/177. Solve y*w - 5 + 15 = 0 for w. -2 Let p(d) = 9*d - 10. Let m(w) = -4*w + 5. Let j(k) = 7*m(k) + 3*p(k). Let h be j(2). Solve c = h*c + 10 for c. -5 Let p(t) = -3*t**2 + 20*t**2 - 2*t + 46 + 3*t**2 - t**3. Let u be p(20). Solve 3*a + 3 = u for a. 1 Let u = 56 + -53. Suppose -2*q = u*q - 10. Solve 0 = q*z - 5 + 1 for z. 2 Suppose 83*o + 60 = 95*o. Solve -5 = -o*b + 10 for b. 3 Suppose -4*u + p - 1 = 0, 4*p - 7 = -4*u - 3. Suppose -4*w + 3*w + 6 = u. Let n be (0/(-3))/(2 + -1). Solve w*a - a = n for a. 0 Let c(s) = -s**3 - 22*s**2 + 24*s + 26. Let p be c(-23). Let u(t) = t**3 - 5*t**2 + 2. Let a be u(5). Solve a*w = p*w for w. 0 Let s be (-1 + 55/15)*(-3)/(-4). Solve 0 = -s*f + 4 + 2 for f. 3 Let m be (-5)/(-25)*35 + -6. Solve -18*d + 17 + m = 0 for d. 1 Let i be (-4)/(-7) + ((-51)/(-21) - 3). Solve l + i*l + 5 = 0 for l. -5 Suppose -12 = 2*a - 4*o, 5*a - 91*o - 3 = -92*o. Solve a = 5*y - 14*y - 18 for y. -2 Let n be 35/4 + 1/4. Suppose 0 = -6*w + n*w - 6. Suppose -3*d + 4*c = w*d - 10, 3*d = 5*c - 7. Solve -i + 4*i = d for i. 2 Let v(t) = 4*t - 213. Let m be v(56). Solve m + 1 = 3*s for s. 4 Suppose -2*u + 3*c + 8 + 1 = 0, -3*u + c = -3. Solve u = -5*o - 0 for o. 0 Let v = -209 - -212. Solve v*h + h = -8 for h. -2 Suppose -m + 1 = 2. Let c(r) = -25*r**2 + 1. Let q be c(m). Let w = 25 + q. Solve -o + 4 + w = 0 for o. 5 Suppose -3*n - 4*j = -11, 2*n = -n + 4*j + 19. Suppose 66 = n*y - 29. Let d = -13 + y. Solve -v = v + d for v. -3 Let r be 27/36 + 18/8. Solve 0 = 39*z - 38*z - r for z. 3 Suppose -o = 21*o - 814. Solve 31*w - 18 = o*w for w. -3 Suppose -3*o - 2*f = -129, -4*f + 31 = -2*o + 101. Solve 36*u = o*u for u. 0 Suppose -5*z - y = -102, y + 54 = 3*z - 2*y. Solve -b + 5*b + z = 0 for b. -5 Suppose 26*o - 288 - 50 = 0. Solve -4 = 14*m - o*m for m. -4 Let o = -50 + 28. Let a = 24 + o. Solve 2*d - 12 + a = 0 for d. 5 Suppose -3*f + 2*z = 4*z - 4, -2 = -4*f - z. Suppose 7*d - 2*d - 40 = f. Let c = d + -4. Solve 4*g = c - 12 for g. -2 Suppose -215*o + 100 = -211*o. Solve 2*q = 21 - o for q. -2 Let m(w) = -15*w + 38. Let r be m(2). Solve -4 + r = a for a. 4 Let k(i) = -i**3 - 5*i**2 - i + 5. Let f be k(-5). Suppose d = -2*w + 2, 4 = 2*d - 18*w + 14*w. Solve 2 = -d*y + f for y. 4 Suppose -4*w + 34 = 2. Let d(n) = 6*n - 48. Let o be d(w). Solve o - 20 = 5*l for l. -4 Suppose 25 = 4*s + 5. Suppose 0 = s*l + 9 + 1, 0 = -b + 5*l + 21. Let u = -5 + b. Solve 3 = -g + u for g. 3 Let v be (-6)/(24/(-14)) - 6/4. Solve v*a + 14 = 6 for a. -4 Let l = 202 + -104. Let z = 106 - l. Solve 3*o + o = z for o. 2 Let i(q) = -q**2 + 11*q - 14. Let f be i(9). Let k(v) = 2*v**2 - 3*v + 3. Let o be k(2). Solve o*j = f*j for j. 0 Let x(n) = n**2 - 6*n + 15. Let c be x(6). Let v be 7/7 - -1*5. Suppose g - 4*k + v = c, -4*k = 8. Solve 9 = 4*w + g for w. 2 Suppose 4*t = j - 13, -3*t + j - 11 = -j. Let b be 216/52 + t + (-37)/(-13). Solve r = -b*r for r. 0 Let s be ((-1)/(1/4))/1. Let c be (13 + -5)*(7/s + 2). Solve -q + c = -2 for q. 4 Let b(c) be the first derivative of -1/3*c**3 + 5*c + 3 + 1/4*c**4 + 1/2*c**2. Let v be b(0). Solve v = 5*t - 20 for t. 5 Let z = -16 + 12. Let f be 1 - 12/(-16)*z. Let q(n) = -n**3 - n**2 + 2. Let r be q(f). Solve -v - r = -4*v for v. 2 Suppose -90 = -74*w + 65*w. Solve 0 = 15*u - w*u - 25 for u. 5 Let k(t) = t - 5. Let h be k(-6). Let u(n) be the third derivative of n**5/60 + 3*n**4/8 - 5*n**3/3 + 7*n**2. Let y be u(h). Solve 0 = o - 4*o - y for o. -4 Let a(x) = -2*x**3 - 15*x**2 + 7*x + 5. Let o be a(-8). Solve o*h - 15*h - 2 = 0 for h. -1 Let d(f) = -f**3 + 9*f**2 - 2*f + 22. Let v be d(9). Solve -v*a + 11 = 31 for a. -5 Let c be (-1)/((-5)/7 + 6/(-21)). Suppose 3*s - 10 = -c. Solve s = j - 2 for j. 5 Let c = -785 - -805. Solve 5*g - 75 = c*g for g. -5 Suppose 0 = -4*k + 2*p + 36, 0 = -2*k + 4*p + 13 + 17. Solve -2*o + k = 5 for o. 1 Let c = -2 + 3. Suppose -l = 3*a - 2, -5*a - 4*l - 37 + 45 = 0. Solve a = -2*w + c + 7 f
{ "pile_set_name": "DM Mathematics" }
order. 11, 4, -1, -3, -4, -70 Sort -0.4, -6/31, 5, -2, 0.6 in descending order. 5, 0.6, -6/31, -0.4, -2 Put -3/2, -8, -4, 1.01, 0.4 in increasing order. -8, -4, -3/2, 0.4, 1.01 Put 1, 5, -1, 2, 115 in ascending order. -1, 1, 2, 5, 115 Put -21, 3, -0.1, -1, 0, -0.4 in descending order. 3, 0, -0.1, -0.4, -1, -21 Put -2/3, -9446, 0.05 in decreasing order. 0.05, -2/3, -9446 Sort 1488, 7, -1 in ascending order. -1, 7, 1488 Sort -10, 132, -80, -4, 4 in decreasing order. 132, 4, -4, -10, -80 Sort -2, -3.45, 61/5 in increasing order. -3.45, -2, 61/5 Put -2/413, -434, -1 in descending order. -2/413, -1, -434 Sort 2, 5, -562, -2, -1 in decreasing order. 5, 2, -1, -2, -562 Sort 0.5, 0.7, -0.28 in decreasing order. 0.7, 0.5, -0.28 Sort -11, -3, 2642. -11, -3, 2642 Put -17, 141, 12, 0 in ascending order. -17, 0, 12, 141 Put -4, 6, -10, -3 in descending order. 6, -3, -4, -10 Put 0, -5, -17135, 7 in increasing order. -17135, -5, 0, 7 Put -3, 0.48364, 4 in ascending order. -3, 0.48364, 4 Sort 2, -33, -33813 in decreasing order. 2, -33, -33813 Sort -0.18, -246, -5/2, 1/5 in increasing order. -246, -5/2, -0.18, 1/5 Sort -16, -0.005, -23/5, 0.2, -1/7 in descending order. 0.2, -0.005, -1/7, -23/5, -16 Sort -42, 2, -3, -94, 3 in increasing order. -94, -42, -3, 2, 3 Sort -0.651, 5, 0.14. -0.651, 0.14, 5 Put -5, 4, 10, -584, 0 in descending order. 10, 4, 0, -5, -584 Sort -15, 1/4, -2, 5, 2 in decreasing order. 5, 2, 1/4, -2, -15 Sort -1/3, -0.3, -3197, 153 in decreasing order. 153, -0.3, -1/3, -3197 Sort -288, -228, 5, 3 in ascending order. -288, -228, 3, 5 Put -293, 3, 15 in decreasing order. 15, 3, -293 Sort -0.154, -1, -3/19, -0.3, 0.4 in decreasing order. 0.4, -0.154, -3/19, -0.3, -1 Sort -18582, 3/2, 2, 7 in descending order. 7, 2, 3/2, -18582 Sort -17, -2, -3, 2, 0, -35 in increasing order. -35, -17, -3, -2, 0, 2 Put 1, 0.087, 2/7, -2, -1/2 in ascending order. -2, -1/2, 0.087, 2/7, 1 Put -3/2, -18, 5, -5, 51 in descending order. 51, 5, -3/2, -5, -18 Put -2, 3, -5, -650 in increasing order. -650, -5, -2, 3 Sort -1, -32969, 30, 1. -32969, -1, 1, 30 Put 3.8, -0.5, -3, -0.2, 1 in decreasing order. 3.8, 1, -0.2, -0.5, -3 Put -2083, 5, -186 in decreasing order. 5, -186, -2083 Sort 44, 0.5, 0.067, 2/13. 0.067, 2/13, 0.5, 44 Sort 9/8, -0.5, 3, 11, 2/5 in increasing order. -0.5, 2/5, 9/8, 3, 11 Sort 1.204, 0.4, 0.05, -3/4. -3/4, 0.05, 0.4, 1.204 Sort 1159, 315, 4 in descending order. 1159, 315, 4 Sort -4, 1/5, -0.2, 5, -0.415, -3 in increasing order. -4, -3, -0.415, -0.2, 1/5, 5 Sort -40, 13, 1, 3 in descending order. 13, 3, 1, -40 Sort -54, 1, 29, 3, 6, -2 in decreasing order. 29, 6, 3, 1, -2, -54 Put -2/16819, 8, -2/7 in descending order. 8, -2/16819, -2/7 Put -1, -2, 0, 1206 in increasing order. -2, -1, 0, 1206 Sort -4, -1, -699, 18. -699, -4, -1, 18 Sort 0, 16, 172, -1, -2, 5 in ascending order. -2, -1, 0, 5, 16, 172 Put -3, -29, -5, -924, 5 in descending order. 5, -3, -5, -29, -924 Put -2/9, -2/13, 3/7, 2/13, 0, 14 in decreasing order. 14, 3/7, 2/13, 0, -2/13, -2/9 Sort 4, -2601, 5 in descending order. 5, 4, -2601 Sort -1, 4.29, -2, -4 in increasing order. -4, -2, -1, 4.29 Put -56, 54, 5, 4 in decreasing order. 54, 5, 4, -56 Sort -3, 9, 3, 542, -4, 0. -4, -3, 0, 3, 9, 542 Put -2, 2252, -3 in increasing order. -3, -2, 2252 Sort 199, 72, -0.6 in descending order. 199, 72, -0.6 Put -247, 0, -31 in ascending order. -247, -31, 0 Sort -4, 0, 27, -11 in increasing order. -11, -4, 0, 27 Put -236, 1, -33, 6, -4 in increasing order. -236, -33, -4, 1, 6 Put -5, 47, 0, 1, 24 in increasing order. -5, 0, 1, 24, 47 Sort -574, 2, 3 in ascending order. -574, 2, 3 Sort 48, 5, -1, 14, -5, -3 in decreasing order. 48, 14, 5, -1, -3, -5 Sort 0.033, 1/873, 3 in ascending order. 1/873, 0.033, 3 Put 3/5, -1555, -0.24 in decreasing order. 3/5, -0.24, -1555 Put 5, -7, 59, -2, -5 in increasing order. -7, -5, -2, 5, 59 Sort -8, 3, 1, -5, 8 in decreasing order. 8, 3, 1, -5, -8 Sort -27, -995, 4 in decreasing order. 4, -27, -995 Put -1, 4, 2, 6, -29, -11 in descending order. 6, 4, 2, -1, -11, -29 Put 2, -13, 1/7, 0.1, 0.02, -52/3 in ascending order. -52/3, -13, 0.02, 0.1, 1/7, 2 Sort -5, -1/336, -20, 2/3, -3, 1/7 in decreasing order. 2/3, 1/7, -1/336, -3, -5, -20 Sort 1, 0, 3, -1152, -5, 267 in descending order. 267, 3, 1, 0, -5, -1152 Sort 1/4, 1/2, -96, -5 in descending order. 1/2, 1/4, -5, -96 Put 243, -57, 3, 1 in ascending order. -57, 1, 3, 243 Sort 330, 3/8, -129/5, -6 in decreasing order. 330, 3/8, -6, -129/5 Sort 8, -5, -4, 10892 in decreasing order. 10892, 8, -4, -5 Sort -7, 4, 171, 33, -4 in decreasing order. 171, 33, 4, -4, -7 Sort 3/2, 0.2, 1, -0.18, 277 in descending order. 277, 3/2, 1, 0.2, -0.18 Sort -3, 2/15, 5, -2, -8/7, -39. -39, -3, -2, -8/7, 2/15, 5 Sort 3, -129, -862 in decreasing order. 3, -129, -862 Put -4, -0.2, 38, 2/3, 0.3 in increasing order. -4, -0.2, 0.3, 2/3, 38 Sort -4, 2, -530, 9, -4/5, -0.07 in descending order. 9, 2, -0.07, -4/5, -4, -530 Sort 2, 8842, 4, -2/3, 0, 5 in decreasing order. 8842, 5, 4, 2, 0, -2/3 Sort -71, -1, -13, -5 in descending order. -1, -5, -13, -71 Put 2, 4, 1.6, -0.02, -0.06 in descending order. 4, 2, 1.6, -0.02, -0.06 Put 11, -2/7, 2, -3/2, -51, 2/17 in increasing order. -51, -3/2, -2/7, 2/17, 2, 11 Sort -0.17, 14/33, 0, -0.4, -3 in decreasing order. 14/33, 0, -0.17, -0.4, -3 Sort -15, -128, 4, -1 in descending order. 4, -1, -15, -128 Sort 19, -2/151, -17 in decreasing order. 19, -2/151, -17 Put 26, 187, 62 in increasing order. 26, 62, 187 Sort 4, 3, -4, 1491, 0, 2. -4, 0, 2, 3, 4, 1491 Sort -53, -1, 1, 43 in descending order. 43, 1, -1, -53 Put 1/9, 2/9, 2, -2/5, -1, -24 in ascending order. -24, -1, -2/5, 1/9, 2/9, 2 Sort -8, -455, -24 in increasing order. -455, -24, -8 Put -24, -1, -2, 4, 41 in ascending order. -24, -2, -1, 4, 41 Sort -0.5, 162, -251 in descending order. 162, -0.5, -251 Put -1, 3, -3, -144498, -5 in descending order. 3, -1, -3, -5, -144498 Put 2, 4, -348141 in descending order. 4, 2, -348141 Put 0, -5, -460, 3, 4 in increasing order. -460, -5, 0, 3, 4 Sort -1, -2, -0.387, -4.7. -4.7, -2, -1, -0.387 Put -0.4, 0.081, 0.3, -3, 9 in ascending order. -3, -0.4, 0.081, 0.3, 9 Sort -66, 0, -1/3, 4, 26, 3 in descending order. 26, 4, 3, 0, -1/3, -66 Put 0.1, -0.5, -4, -14444, -3 in decreasing order. 0.1, -0.5, -3, -4, -14444 Sort 1/7, 0.3, 3, -2, 12037. -2, 1/7, 0.3, 3, 12037 Sort 0, 2615, 217 in descending order. 2615, 217, 0 Put 2, 17, -2, -1, 4, 23 in decreasing order. 23, 17, 4, 2, -1, -2 Put 0.3, -7, -87, 0.37 in descending order. 0.37, 0.3, -7, -87 Sort 0.1, -2, 191/2, 1 in descending order. 191/2, 1, 0.1, -2 Sort 2, 26, -7/4, -2, 3 in descending order. 26, 3, 2, -7/4, -2 Sort -3, 3, -239 in descending order. 3, -3, -239 Put -103, 32, 165 in increasing order. -103, 32, 165 Sort 2, -4, 38713. -4, 2, 38713 Sort 2, -4, -5, -8. -8, -5, -4, 2 Put 29/2, 16, -10 in increasing order. -10, 29/2, 16 Sort -4/9, -2/3, 883, 1/9 in ascending order. -2/3, -4/9, 1/9, 883 Sort 0.6, -0.5, 35.5, -6, 1/4 in descending order. 35.5, 0.6, 1/4, -0.5, -6 Sort 0.3, 7, 11, 5, 0.03, -7. -7, 0.03, 0.3, 5, 7, 11 Put 4, -7, -4, -40 in descending order. 4, -4, -7, -40 Put -3/5, 34, -5, 0.5, 1, -3 in increasing order. -5, -3, -3/5, 0.5, 1, 34 Put -4, -5, -1, 1, -3 in descending order. 1, -1, -3, -4, -5 Sort 1, -4, -0.1, -3, 3, 238 in decreasing order. 238, 3, 1, -0.1, -3, -4 Sort -12, -0.5, 5, 14, -8 in descending order. 14, 5, -0.5, -8, -12 Sort 0.09, -0.06, 13, 1/13, -1/5 in decreasing order. 13, 0.09, 1/13, -0.06, -1/5 Put 0, 53, 189 in descending order. 189, 53, 0 Sort 4, 1, -5, -615, 5, 12 in decreasing order. 12, 5, 4, 1, -5, -615 Sort 4, -33, 20, -2/5, -19, 2/13 in descending order. 20, 4, 2/13, -2/5, -19, -33 Sort 0.1, -4/33, 5/3, -28, -0.3, 4. -28, -0.3, -4/33, 0.1, 5/3, 4 Sort 3, -6, 68738 in decreasing order. 68738, 3, -6 Put -135, -454, 4 in descending order. 4, -135, -454 Sort 3, 1984, -2, -5. -5, -2, 3, 1984 Sort -2, 4, -160, 2, 3, 55 in ascending order. -160, -2, 2, 3, 4, 55 Put -9, 11, 1, 5, 0, -4 in descending order. 11, 5, 1, 0, -4, -9 Put -7, -2, -12 in descending order. -2, -7, -12 Put 3, 1/7, 40, 1444, -4/5 in ascending order. -4/5, 1/7, 3, 40, 1444 Sort 3/2, -3, 2, 100, 3/7 in decreasing order. 100, 2, 3/2, 3/7, -3 Put -0.3, -4/21
{ "pile_set_name": "DM Mathematics" }
hich is the second smallest value? (a) -1/12 (b) 1/2 (c) 0.4 (d) -12/13 a What is the second biggest value in -2/13, 13, -5/3, 8? 8 Which is the fourth biggest value? (a) -1 (b) 18 (c) 26 (d) 3 (e) -2 a Which is the biggest value? (a) 0.19 (b) -2/5 (c) 9 (d) -1 c Which is the second smallest value? (a) 2 (b) -161 (c) -3 c What is the biggest value in -0.3, 2, -0.03? 2 What is the third biggest value in 1/11, -0.3, -6, -2/43, -1/2? -0.3 What is the fourth smallest value in 0.1, -11, -23, 1, 4? 1 What is the smallest value in -4, 139, -2/15? -4 What is the second biggest value in 0.44, 2, 2/15? 0.44 What is the third biggest value in -4, -5/4, 23/3? -4 What is the biggest value in -4, -5695, -5? -4 Which is the second biggest value? (a) -5 (b) 2/339 (c) -15 a What is the third smallest value in 1/6, -1/161, -0.009? 1/6 Which is the biggest value? (a) 17 (b) 1 (c) 0 (d) 5 a What is the fourth biggest value in 0.02, 5, -2/13, 7? -2/13 What is the second biggest value in -4, 0.06, -6, -3/7, 3/10? 0.06 What is the fourth biggest value in -2, 1, 5, 203? -2 Which is the fourth biggest value? (a) 2/7 (b) 5 (c) -1/22 (d) 1 c What is the second smallest value in -1/14, -2/7, -11, -1, -2? -2 What is the second biggest value in 3, -2/37, 2/379? 2/379 Which is the biggest value? (a) 13 (b) 93 (c) 3 (d) -0.1 b Which is the third biggest value? (a) 30 (b) 7 (c) -32 c Which is the biggest value? (a) 0 (b) 41 (c) -0.013 b Which is the smallest value? (a) 0 (b) -4 (c) -2 (d) 3/7 b What is the fourth biggest value in -1.8, -0.3, -8, 0.4, -1? -1.8 Which is the biggest value? (a) 69 (b) 3 (c) -0.1 a What is the biggest value in 0.02, 0.4, 2, 132? 132 What is the third biggest value in -2/23, 1, -18, 5/2? -2/23 What is the second biggest value in -2, -14/187, -0.1? -0.1 What is the second smallest value in 3.71, -0.3, -1/5, -1? -0.3 What is the third biggest value in -1/3, 1/13, 5, 3? 1/13 Which is the fourth smallest value? (a) 2/7 (b) 0.19 (c) 2/13 (d) 0.2 a What is the fourth smallest value in 1/8, 0.7, -3, -1/6? 0.7 What is the smallest value in 11, -39, -1? -39 Which is the third biggest value? (a) 0.071 (b) 10 (c) -1/2 c Which is the third biggest value? (a) 3 (b) 2 (c) -1 (d) -0.7 d Which is the biggest value? (a) 5 (b) -6/25 (c) -2/7 a Which is the biggest value? (a) -0.1 (b) -0.2 (c) -1 (d) 0.14 d Which is the second smallest value? (a) 9.3 (b) 0.06 (c) -1 (d) -5 c What is the smallest value in 4/11, 0, 0.032? 0 Which is the fourth biggest value? (a) -1/10 (b) 0.15 (c) 1 (d) -3/4 d Which is the second biggest value? (a) 1 (b) 4 (c) 1.5 c Which is the fifth smallest value? (a) -0.03 (b) 3/4 (c) 1 (d) 5 (e) 2 d What is the fourth smallest value in 2, 20/11, 0.7, -1? 2 What is the fourth smallest value in 1/13, -1/7, -3, 4, -0.04? 1/13 What is the third biggest value in -1/5, -1/4, 0.2, -45? -1/4 What is the second biggest value in -2, -1/2, -0.3, 60, 1/6? 1/6 Which is the third smallest value? (a) 1/9 (b) -4 (c) 2/19 (d) -920 c Which is the second smallest value? (a) 94 (b) 1/23 (c) -6/5 b What is the fourth smallest value in 6, 0, 2/3, 1? 6 Which is the second smallest value? (a) 4/5 (b) -5 (c) -0.24 c Which is the second biggest value? (a) -4 (b) -2/11 (c) 50 b What is the second smallest value in -0.5, 0.3, 28, 4, 2/17? 2/17 Which is the second smallest value? (a) 0.008 (b) -2/11 (c) 0 (d) 1 c What is the fourth biggest value in -2/9, 1/3, 0.09, 3? -2/9 What is the biggest value in 10, 5, 0.5? 10 Which is the smallest value? (a) 2 (b) 1 (c) -3 c What is the second biggest value in 9, 166, -3/4, 0, -0.5? 9 Which is the fourth smallest value? (a) 3 (b) -0.2 (c) 0.5 (d) 0 (e) -88 c What is the biggest value in -0.4, -1, -11.5? -0.4 Which is the biggest value? (a) 51 (b) 5/3 (c) 4 a What is the third smallest value in -75, -3, -0.2, -0.3? -0.3 What is the third smallest value in 2, 2/349, -3? 2 Which is the smallest value? (a) 12/31 (b) -3 (c) -1/4 b What is the third biggest value in 1/4, 0, 1/2, -1, -10? 0 Which is the smallest value? (a) 9 (b) 105 (c) -5 (d) -1/12 c What is the third biggest value in 3, 10, -5, -4? -4 What is the fourth smallest value in 0.3, -5, 2/13, -2? 0.3 What is the fourth biggest value in -0.1, 109, 0.4, -2? -2 What is the fifth smallest value in 5, -5, -0.16, 1, 3/4? 5 What is the second smallest value in -5, 2/21, 3, 4, -95? -5 Which is the second smallest value? (a) -228 (b) -0.2 (c) -0.49 c What is the biggest value in 181, -0.5, 4? 181 What is the third smallest value in 5/3, -28, 0.4? 5/3 Which is the fourth biggest value? (a) 0.04 (b) 20 (c) 6 (d) 2 a Which is the fourth biggest value? (a) 0.5 (b) 1 (c) 0.011 (d) -2/11 d Which is the second smallest value? (a) -1 (b) 5 (c) 3.4 (d) 0.2 (e) -3 a What is the second smallest value in 6, -4, -6? -4 What is the third biggest value in -155, -0.3, 3, -1, 0.2? -0.3 What is the third biggest value in 1/2, -1/6, -0.39, -4? -0.39 Which is the third smallest value? (a) -4 (b) -0.5 (c) 0 (d) -72 (e) 0.5 b What is the third smallest value in 0.1, -5/2, -0.3, 0.3? 0.1 Which is the smallest value? (a) 78 (b) -2/11 (c) 0.38 b What is the fourth biggest value in 7/8, 4, 0.23, 0? 0 Which is the third biggest value? (a) -4/7 (b) -1332 (c) 0.2 (d) 1 a What is the second smallest value in 4, 43, -5? 4 What is the fourth smallest value in 0.0554, -5/2, 0.7, -1? 0.7 Which is the biggest value? (a) -5 (b) -1/3 (c) 0.3 (d) -2/5 (e) -103 c Which is the third biggest value? (a) -0.2 (b) 3/4 (c) -0.4 (d) 0.01 a What is the third biggest value in 0.0977, -4, -1/4? -4 What is the fourth biggest value in -1/2, 1, -0.1, 0.03, 0.01? -0.1 What is the fourth smallest value in 9/5, 1/5, 3.5, -0.5? 3.5 What is the second biggest value in 4, -3, 0.5, -497? 0.5 What is the fourth biggest value in 4, 0.37, -4, 19? -4 What is the smallest value in 0.2, -1/3, -0.1, 3, 2536? -1/3 Which is the second biggest value? (a) -39 (b) -4 (c) -3 (d) 5 (e) 22 d What is the third smallest value in 5, 2/9, -0.8? 5 What is the second biggest value in -1, -0.05, -0.1, 5? -0.05 What is the fourth biggest value in -1, 12, -2, 1/8? -2 Which is the second smallest value? (a) -2 (b) -1/4 (c) -0.3 (d) 1 c Which is the smallest value? (a) 0.5 (b) 3/5 (c) -2 c Which is the fourth smallest value? (a) 8 (b) 16 (c) -2 (d) 3/10 (e) -3 a Which is the third smallest value? (a) 2 (b) -2/7 (c) -236 a Which is the second smallest value? (a) 3 (b) 1 (c) -0.42 (d) -2/15 d What is the third smallest value in -48, -2/3, 4? 4 What is the fifth smallest value in 0.1, 1/5, 83/3, -4, 3? 83/3 What is the second smallest value in -4, -0.2, 52, -2/63? -0.2 Which is the third biggest value? (a) 61 (b) -0.1 (c) 0.5 b What is the fourth smallest value in -3/4, -1/4, 2/13, 1/15, -1/13? 1/15 Which is the second biggest value? (a) 2 (b) -1/101 (c) 66 a What is the fourth biggest value in -2/19, -1, -0.12, 4? -1 Which is the second smallest value? (a) -4 (b) 1/11 (c) 145 b What is the fourth biggest value in 2, 5, -0.052, 0.1? -0.052 Which is the second smallest value? (a) 2/1759 (b) 5 (c) -1 (d) -1/6 d What is the second smallest value in 0, 5, -2/51? 0 Which is the fourth biggest value? (a) -28.81 (b) -0.5 (c) 0.4 (d) 1 a Which is the biggest value? (a) -240 (b) 0 (c) -3 b What is the second smallest value in 0.5, -1, -4? -1 What is the fourth biggest value in -3/5, -0.007, -1, 4? -1 Which is the smallest value? (a) -7 (b) -3 (c) 5 a Which is the second biggest value? (a) 49 (b) -1/8 (c) 1/8 c What is the biggest value in -21, -0.7, 0, -5? 0 Which is the smallest value? (a) 5 (b) -49 (c) -0.4 b Which is the third biggest value? (a) 1/4 (b) -24 (c) 0.2 b What is the second biggest value in 4/3, 0.2, -5, -2/5, 2/7? 2/7 What is the second biggest value in 219/11, 0.1, 2/3? 2/3 What is the fifth smallest value in -3.76, 4/5, 5, 0.3, 1/4? 5 What is the second biggest value in -0.2, -1/10, 2/13, -2? -1/10 What is the biggest value in 7/5, 1/2, -9/7? 7/5 Which is the third smallest value? (a) 3/8 (b) 2 (c) -2/35 b What is the third smallest value in -10, 0.7, 3? 3
{ "pile_set_name": "DM Mathematics" }
1. Let w = 42 + x. What is the least common multiple of w and 20? 180 Let q be (-2)/(-7) + (-40)/(-7). Suppose -3*i + 66 = -348. Suppose 3*x - q*x = i. Calculate the common denominator of 19/5 and x. 5 Let p(k) = k**2 + 0*k**2 - 1 - k + 0. What is the lowest common multiple of 4 and p(4)? 44 Let t = -100 + 140. Calculate the smallest common multiple of 16 and t. 80 Let v = 45 - 25. What is the least common multiple of v and 30? 60 Suppose 0 - 6 = -3*v. Suppose 0*f + 3*f + 40 = -4*b, 0 = 4*b + f + 32. Let l = 13 + b. Calculate the lowest common multiple of l and v. 6 Let u = 294 - 936. Calculate the common denominator of -3*(26/(-15) - 1) and u/(-120)*(3 + -1). 10 Let j(h) = h. Let x(z) = -z**2 + 2*z - 1. Let b(l) = -2*j(l) - x(l). Let v be b(4). Calculate the common denominator of 107/12 and v - (7/4 - -2). 12 Let h be 186*(-1)/(-4)*6. Find the common denominator of h/(-10)*(-2)/12 and -111/20. 20 Suppose 0 = 7*i - 2*i. Suppose 2*r = -i*r + 6. What is the smallest common multiple of r and 5? 15 Let d = 13 + -5. Suppose c = 2*c - 4. Calculate the lowest common multiple of c and d. 8 Let j(r) = -r**3 + r**2 + r - 10. Let z be j(0). Find the common denominator of -115/14 and 25/((96/z)/(-4)). 84 Suppose -3*z = 2*n - 20, -4*z - 4*n + 20 = -0*z. Let d = 36 + -18. What is the least common multiple of d and z? 90 Suppose -5*j - 4*u = -5*u - 31, -3*u = 4*j - 21. Find the common denominator of (-7 + j)*278/36 and 33/14. 126 Let x(s) = -270*s**3 - 3*s**2 + 3*s - 4. Let q be x(-3). Let o = q + -43397/6. What is the common denominator of o and 17*(-2)/(-72)*2? 18 Let b = 19 - 37. Let f be ((-4)/6)/(4/b). What is the common denominator of f - (-2 + (-87)/30) and 143/6? 30 Suppose -5*n + 2*h = 30, -5*h + 14 = -n + 31. Find the common denominator of (n/(-2) - -3)/8 and -3 + 2/20*83. 40 Let i = -211 - -1024/5. What is the common denominator of i and -17/8? 40 Let w be (-459)/(-36) - (-1)/4. Suppose 0*r = -5*r - 3*a + 17, -2*r = -5*a - w. Calculate the least common multiple of 6 and r. 12 Let u = -279 + 525/2. Find the common denominator of u and 3 - (-166)/(-54)*3. 18 Let n(r) = 2*r**2 - 2582*r**3 - 4473*r**3 - r**2. Let b be n(-1). Let u = 42457/6 - b. Find the common denominator of u and 87/14. 42 What is the least common multiple of 33 and (6/(-8))/((12/(-176))/3)? 33 Suppose 3*l = 2*l + m + 2, -3*l = 5*m - 14. Let j(u) = -2*u - 2. What is the lowest common multiple of j(-4) and l? 6 Let p = 63/5 + -19/2. What is the common denominator of p and -181/150? 150 Suppose 3 + 0 = w. Suppose -5*y = 2*c + 3, 2*y - 2*c = w*c - 7. Find the common denominator of 1/y - 63/(-16) and 49/10. 80 Suppose 0 = 4*h + 3*q - 2, 5*h - 2*q - q - 16 = 0. Suppose -4 = -h*r - 2*r. Suppose -5 = -4*m + 31. What is the least common multiple of r and m? 9 Let a = -1090 - -7655/7. Calculate the common denominator of -41/22 and a. 154 Let f = -21 - -23. Calculate the least common multiple of 14 and f. 14 Let a = -2715 + 43491/16. Let y = 10183/1480 + -1/185. Calculate the common denominator of a and y. 16 Let g(x) = x**3 + 6*x**2 + 4*x + 2. Suppose 0*q + 5*q + 20 = 0. What is the smallest common multiple of g(q) and 22? 198 Let l(m) = m**3 - 6*m**2 + m - 6. Let d be l(6). Let y be (-311473)/20 + (d - -2). Let f = y + 15566. What is the common denominator of 27/10 and f? 20 Suppose 19*p - 396 = 8*p. What is the least common multiple of 36 and p? 36 Let o = 13 - 9. Let l = 14 + o. Calculate the least common multiple of l and (-16)/(-2) + 1 + -1. 72 Let s = 1083 + -6475/6. Let k = -23675/8 - -2966. Find the common denominator of s and k. 24 Let t be 4/(-16) + (-10)/(-8). Suppose -2*w + 0 - 1 = 3*m, -w - m + t = 0. Calculate the lowest common multiple of w and 8. 8 Let y = -51 - -78. What is the smallest common multiple of y and 12? 108 Let g = -1489 + 5879/4. Find the common denominator of g and -52/5. 20 Let b = 3 - 10. Calculate the least common multiple of (-3)/b - 39/(-7) and 7. 42 Let y = -53254147 - -3195134213/60. Let b = 11425/6 + y. Calculate the common denominator of b and 51/10. 20 Suppose -556 = -6*l + 608. What is the least common multiple of 18 and l? 1746 Let z = -2567/2 - -1235. Find the common denominator of z and 53/4. 4 Suppose -d + 0 = -2. Find the common denominator of 142*d/(-72) - -2 and -91/18. 18 Let m be (-18)/30 + 354/(-10). Calculate the common denominator of -19/20 and 250/m + 1*3. 180 Let k = -13360/9 + 1490. Find the common denominator of ((-66)/(-12))/(4 + (-62)/12) and k. 63 Let k(p) = -2*p + 1. Let z be k(-1). Let m(n) = n**2 + 1. Suppose 2*v + 16 = 5*l, 3*v - 1 = l + 1. Calculate the smallest common multiple of l and m(z). 20 Let c(r) = -r**2 + r + 4. Let s be c(3). What is the common denominator of ((-3)/(-18))/((-2)/(-93)) and (s/(-10))/(162/585)? 36 Let d be (-3)/(-2) - (-18)/(-12). Suppose d*z - 4 = 2*z. Calculate the least common multiple of ((-24)/z)/(6/4) and 9. 72 Suppose -140 = -4*f + 3*d, 3*d - 4*d + 80 = 2*f. Suppose 0 = 4*y + y - 7725. Let t = y + -6147/4. Find the common denominator of f and t. 4 Suppose 0 = -4*q - 4*i + 37740, 2*q + 0*i = -5*i + 18864. Let o = q + -16900. Let b = o + 44675/6. Find the common denominator of 7/6 and b. 6 Find the common denominator of 125/18 and (235/(-15))/(10/(-3)). 90 Suppose 9*q = 2*k + 8*q - 11, -k + 13 = q. What is the lowest common multiple of 2 and k? 8 Let p = -44 - -84. Suppose -h = -6*h + p. Calculate the smallest common multiple of 2 and h. 8 Suppose -3*i = -2*k - 46, -5*k = i - k + 8. Suppose z + i = f, z = 2*f - 2*z - 28. Let r(g) = -17*g**3 - 1. What is the lowest common multiple of f and r(-1)? 16 Let l be (-2 - -1)/(62/(-5042218)). Let w = -81339 + l. Let r = -1312/217 - w. What is the common denominator of r and -95/6? 42 Let q be 32/((-2)/(0 - 2)). Suppose 4*z - 8*z + q = 0. Calculate the lowest common multiple of z and 4. 8 Let i be 4/((-1)/(3/(-2))). Let z(o) = o**2 - 6*o + 6. Suppose 11 - 29 = -2*b. What is the lowest common multiple of b and z(i)? 18 Let z = -2753 + 4000. Let a be (-531)/12*166/6. Let j = a + z. Find the common denominator of j and -79/2. 4 Let i(a) = 34*a. Let m be i(-1). Let u = 52 + m. What is the lowest common multiple of 22 and u? 198 Let q(d) = 9*d**2 + 3*d. Let l be q(5). Suppose 5*w - 3*c = -14, -w - 5*c = -0*c + 14. Calculate the lowest common multiple of 4 and (2/w)/((-6)/l). 20 Let l = 104 - 61. Suppose k - 4*k + 63 = 0. Let p = l - k. What is the smallest common multiple of p and 16? 176 What is the common denominator of 41/15 and (-1)/144*3*-410 + -3? 120 Let u(r) = 2*r - 10. Calculate the least common multiple of 32 and u(13). 32 Let j be -2*(-2 + 3) - -4. Suppose -3 = -4*h + 17. Suppose -20 = -j*l + 7*l, -5*x - h*l = -20. Calculate the smallest common multiple of x and 1. 8 Let o = 22 - 17. Suppose 5*k + y = 93, -4*y - 78 = -0*k - o*k. What is the smallest common multiple of 16 and k? 144 Let k = 34 + -1. Calculate the least common multiple of k and 42. 462 Let w = 23 + -18. What is the lowest common multiple of 11 and w? 55 Let y = 3 - 7. What is the common denominator of 0 + (-507)/(-54) + -3 and (y - -2)/(40/17)? 180 Suppose -5*r = 2*d - 92, 3*r + d - 79 + 23 = 0. What is the least common multiple of 14 and r? 140 Calculate the common denominator of 67/2 and (-29)/11*2/(-10)*-5. 22 Let l(s) = -3*s + 1. Let i(t) = -6*t + 2. Let c(w) = -6*i(w) + 14*l(w). What is the common denominator of 59/4 and c(7)? 4 Suppose 2*m + 7 = 3*m. Let a = 4 + -3. Suppose -u = 3*x + u + a, 3*u = 4*x - 10. Calculate the least common multiple of m and x. 7 Let l = 6 - 3. Suppose -l*x = 0, 2*j - 3*x - 36 = -12. Calculate the least common multiple of j and 11. 132 Let g = 12/891743 + -78875560237/10700916. Let b = -7376 - g. Find the common denominator of 19/8 and b. 24 Calculate the common denominator of (1/5)/(4/220) and -29/2. 2 Let i be (-2 - (-1 - 0)) + 1. Let h = 2 + i. Let k = -36 + 38. What is the lowest common multiple of k and h? 2 Let w = -4 - 2. Let d(p) = 3*p - 4 - p - 7*p. Calculate the common denominator of 2/3 and d(w). 3 Suppose 2*q + 10 = 4*h, -4*h + 5*q + 15 = 4*q. Let i(u) = 2*u**2 - 7*u - 7. Calculate the smallest common multiple of 30 and i(h). 120 Let x = 7091 - 56647/8. Calculate the common denominator of x and -9/10. 40 Calculate the common denominator
{ "pile_set_name": "DM Mathematics" }
rounded to the nearest one hundred thousand? -700000 Round 17.62 to zero decimal places. 18 Round 6.427 to 0 dps. 6 Round 3321.2 to the nearest ten. 3320 What is 14391000 rounded to the nearest one million? 14000000 Round -9.847 to zero dps. -10 What is -0.00001029 rounded to seven decimal places? -0.0000103 What is -0.0301 rounded to three decimal places? -0.03 Round 1305.5 to the nearest 10. 1310 Round -67.71 to zero decimal places. -68 What is -0.131055 rounded to 4 decimal places? -0.1311 Round 0.00002421 to 5 decimal places. 0.00002 Round -8.821 to the nearest integer. -9 Round -319.4 to the nearest 10. -320 What is -0.000015431 rounded to 7 decimal places? -0.0000154 What is -2.681 rounded to 1 dp? -2.7 Round -5740 to the nearest 100. -5700 Round -2.706 to 0 decimal places. -3 Round 881300 to the nearest 10000. 880000 Round -28904 to the nearest 1000. -29000 Round -0.2794 to 2 decimal places. -0.28 Round 0.000000233 to 6 decimal places. 0 Round 0.00003427 to six dps. 0.000034 Round -0.00013996 to five dps. -0.00014 What is -0.000004741 rounded to 7 dps? -0.0000047 Round 83.24 to the nearest 10. 80 Round -0.24515 to two dps. -0.25 What is -1040 rounded to the nearest 10? -1040 What is 0.000032106 rounded to 6 decimal places? 0.000032 Round -1090300 to the nearest ten thousand. -1090000 Round -14854 to the nearest ten thousand. -10000 Round -0.00069673 to five decimal places. -0.0007 Round 0.00000912 to six decimal places. 0.000009 Round -0.000029016 to seven dps. -0.000029 What is 0.0004693 rounded to five dps? 0.00047 Round -2.6 to the nearest integer. -3 What is 0.09142 rounded to two decimal places? 0.09 What is 44200 rounded to the nearest one thousand? 44000 What is -0.00223 rounded to four decimal places? -0.0022 What is 10.7782 rounded to zero dps? 11 What is -0.0011215 rounded to five dps? -0.00112 Round 0.0000543 to 6 decimal places. 0.000054 Round -0.00006012 to 6 dps. -0.00006 Round 0.00050193 to 5 dps. 0.0005 Round 0.000002811 to six decimal places. 0.000003 Round 0.074105 to two decimal places. 0.07 Round -0.00083887 to 5 decimal places. -0.00084 What is -36340 rounded to the nearest one thousand? -36000 Round -0.0000006909 to 7 dps. -0.0000007 Round -1342000 to the nearest one hundred thousand. -1300000 Round -81800 to the nearest 10000. -80000 Round 2.04 to 1 dp. 2 Round 48210 to the nearest 10000. 50000 Round -0.000001932 to 7 dps. -0.0000019 What is 0.7309 rounded to 1 dp? 0.7 Round -0.05384 to two decimal places. -0.05 What is 224590 rounded to the nearest 1000? 225000 Round 0.0005718 to five decimal places. 0.00057 Round -0.0000871 to 6 dps. -0.000087 Round -0.000000167 to 6 decimal places. 0 What is 508550 rounded to the nearest one thousand? 509000 Round 5225.8 to the nearest one hundred. 5200 Round 24550 to the nearest 10000. 20000 Round -6251220 to the nearest 10000. -6250000 Round -2912.49 to the nearest 10. -2910 What is 0.0000186734 rounded to 6 decimal places? 0.000019 Round 0.0000193 to 6 decimal places. 0.000019 What is -6.52 rounded to one dp? -6.5 Round 81.92 to the nearest integer. 82 What is -1695000 rounded to the nearest 100000? -1700000 What is 980.9 rounded to the nearest one hundred? 1000 What is -2221000 rounded to the nearest 10000? -2220000 What is -0.0002165 rounded to five dps? -0.00022 What is 0.000000986 rounded to 7 dps? 0.000001 Round -0.000026859 to 6 dps. -0.000027 Round -24319.9 to the nearest 1000. -24000 Round -0.05007 to three dps. -0.05 Round -93300000 to the nearest one million. -93000000 What is 0.000193 rounded to 5 decimal places? 0.00019 What is 0.0000008532 rounded to 7 dps? 0.0000009 Round -0.02649 to 3 dps. -0.026 What is -0.02768 rounded to 3 dps? -0.028 Round 0.034426 to three dps. 0.034 Round -8052000 to the nearest one million. -8000000 What is -1.06296 rounded to two dps? -1.06 What is -788860 rounded to the nearest ten thousand? -790000 Round -0.2355 to three decimal places. -0.236 What is 173.6 rounded to 0 dps? 174 Round 2.3445 to two decimal places. 2.34 What is -0.15132 rounded to three decimal places? -0.151 What is -0.00003987 rounded to 5 dps? -0.00004 What is 0.000351 rounded to five dps? 0.00035 Round -0.0000082 to six dps. -0.000008 What is -0.00086424 rounded to four decimal places? -0.0009 What is 0.000001965 rounded to seven dps? 0.000002 Round 2879600 to the nearest 1000000. 3000000 Round -521.5 to the nearest ten. -520 Round 188.401 to the nearest integer. 188 Round -3750 to the nearest one thousand. -4000 What is -0.007913 rounded to 3 decimal places? -0.008 What is -500.74 rounded to the nearest ten? -500 What is 118314000 rounded to the nearest one million? 118000000 What is -36130000 rounded to the nearest one million? -36000000 What is 0.0595645 rounded to 3 dps? 0.06 What is -0.014753 rounded to 3 decimal places? -0.015 Round -59195000 to the nearest one million. -59000000 What is -0.000004007 rounded to 6 decimal places? -0.000004 What is -30.3389 rounded to the nearest integer? -30 Round 8.267 to zero dps. 8 What is -0.000000377 rounded to 7 dps? -0.0000004 What is 17600 rounded to the nearest 100000? 0 Round 713800 to the nearest ten thousand. 710000 Round 1.1006 to one dp. 1.1 Round -141700000 to the nearest 1000000. -142000000 Round 12.8096 to one dp. 12.8 Round -2211000 to the nearest one hundred thousand. -2200000 What is 0.000051371 rounded to 5 decimal places? 0.00005 Round -0.001875 to one dp. 0 What is -113.1 rounded to the nearest 10? -110 Round 0.008091 to three dps. 0.008 What is -834820 rounded to the nearest 10000? -830000 Round -228.6 to the nearest ten. -230 Round 5071000 to the nearest 100000. 5100000 Round -0.0000311439 to seven decimal places. -0.0000311 Round -0.00034985 to 6 dps. -0.00035 What is 6490000 rounded to the nearest one million? 6000000 Round -0.00435847 to four decimal places. -0.0044 Round 3.45114 to two dps. 3.45 What is -0.0031694 rounded to 4 decimal places? -0.0032 What is -266600 rounded to the nearest ten thousand? -270000 Round -3180 to the nearest 1000. -3000 Round 2.125 to 1 dp. 2.1 What is -0.28926 rounded to 2 dps? -0.29 Round 0.0000008079 to 6 decimal places. 0.000001 What is -0.00756 rounded to three decimal places? -0.008 Round -7987200 to the nearest 100000. -8000000 What is -456000 rounded to the nearest one million? 0 What is -15.648 rounded to 1 dp? -15.6 Round -13440000 to the nearest one million. -13000000 Round -774170 to the nearest 10000. -770000 What is -0.0000008768 rounded to 7 decimal places? -0.0000009 Round -43.179 to 1 decimal place. -43.2 Round -380.21 to zero decimal places. -380 Round 10028 to the nearest one thousand. 10000 What is 503 rounded to the nearest one thousand? 1000 Round -0.0016979 to four dps. -0.0017 Round 0.016782 to 4 decimal places. 0.0168 Round 1397.25 to the nearest ten. 1400 Round 31330 to the nearest ten thousand. 30000 Round 1006500 to the nearest 10000. 1010000 What is 40.544 rounded to the nearest 10? 40 Round 0.027673 to 3 decimal places. 0.028 What is -576.1 rounded to the nearest 100? -600 What is -3387.1 rounded to the nearest ten? -3390 Round 1777500 to the nearest one million. 2000000 What is 87600 rounded to the nearest ten thousand? 90000 What is -505.2 rounded to the nearest 100? -500 What is -1325000 rounded to the nearest 10000? -1330000 What is 32830 rounded to the nearest one thousand? 33000 What is 0.6501 rounded to 2 decimal places? 0.65 What is -23.1896 rounded to zero dps? -23 What is -28652000 rounded to the nearest 100000? -28700000 Round -6772000 to the nearest 100000. -6800000 What is -0.00029655 rounded to five dps? -0.0003 Round -0.0000111042 to six decimal places. -0.000011 What is -0.45247 rounded to one decimal place? -0.5 Round -0.0001576 to five dps. -0.00016 Round 0.000363 to five decimal places. 0.00036 What is -362 rounded to the nearest 10? -360 What is 40 rounded to the nearest 100? 0 Round 0.040875 to two decimal places. 0.04 Round 0.184046 to two decimal places. 0.18 What is 0.01994 rounded to 2 dps? 0.02 Round -160700 to the nearest 10000. -160000 What is 517.01 rounded to the nearest ten? 520 Round -0.0000552 to 6 decimal places. -0.000055 Round -728000 to the nearest 100000. -700000 Round 75856 to the nearest ten th
{ "pile_set_name": "DM Mathematics" }
(32/64). -19 What is (2/(-11))/(18848/(-32736))? 6/19 Evaluate 3/60*200/20. 1/2 ((-12)/28)/((-30)/7) 1/10 ((-187)/3740)/((-6)/(-8)) -1/15 What is (-2)/(-1)*136*(-8)/(-128)? 17 What is the value of ((-5405)/282)/115*((-18)/(-16))/(-1)? 3/16 What is 1*((-1)/(-5))/((-10)/25)? -1/2 Calculate (10*(-60)/3750)/((-4)/(-10)). -2/5 Calculate (-18)/(-15)*((-426)/1491)/((-8)/490). 21 (-2)/20*-3*(-185)/((-96570)/(-464)) -4/15 Calculate (-23850)/2120*2*2/3. -15 Calculate (-26)/(33*(-38)/(-1254)). -26 (18/4*6/(48/8))/3 3/2 Evaluate (-6)/(((-28)/36)/(1/(-9)*1)). -6/7 Evaluate 18/(-4)*(-8)/(((-32)/(-3))/8). 27 Calculate 60/(-210)*4774/44. -31 What is the value of ((-378)/168)/(4*(-12)/(-128))? -6 What is ((60/21)/(-1))/(-13*32/(-1456))? -10 What is ((-112)/52)/(80/520)? -14 ((-1)/(8/(-7))*3078/1197)/(-1) -9/4 What is the value of (-324)/(-84)*280/(-60)? -18 Evaluate 24/(-7)*((-780)/156)/(5/(-7)). -24 Evaluate ((-18)/11)/((-1662)/(-12188)). -12 What is the value of (-4)/10*(-38)/(-988)*39? -3/5 Calculate (40/(-100))/(17/(7735/14)). -13 What is the value of (-19)/(342/2160)*18/(-72)? 30 What is the value of ((-5)/(-50))/(34/(-340))? -1 Evaluate ((-13)/(728/240))/(100/(-280)). 12 What is the value of 4*((270/20)/9)/(-3)? -2 Calculate ((-1998)/(-1665))/(2*(-6)/220). -22 What is 2*-15*7*19/266? -15 Evaluate 948/(-1106)*(-2)/(6/49). 14 What is the value of -4*(((-36)/(-63))/2)/(-2)? 4/7 What is ((-15)/9)/((-973)/417)? 5/7 ((-5)/2*(-54)/45)/((-48)/(-32)) 2 Calculate (-61)/305*((-40)/42)/(-10). -2/105 (-6)/2*(-41)/615 1/5 What is the value of 82/6888*(462/(-24))/(-11)? 1/48 What is (-1)/1*-1*2*(-25)/(-425)? 2/17 (1/((-885)/12))/(2*(-10)/(-50)) -2/59 Evaluate (7/((-84)/30))/((-90)/432). 12 Evaluate (15/(-5))/((-105)/(-350)). -10 What is ((-3)/(-5))/((-504)/336)? -2/5 What is 294/70*40/(-60)? -14/5 Calculate -1*(1980/16)/33*2/9. -5/6 What is ((-2)/2)/(((-15)/5)/(-3))? -1 What is the value of (((-1112)/5838)/(1/(-14)))/(-2)? -4/3 What is 15/(-3)*((-273)/65)/7? 3 (6/4)/(114/76*-2) -1/2 5/10*22*20/2200 1/10 Evaluate ((-82)/((-4018)/(-2205)))/(3*(-1)/(-2)). -30 What is the value of 0/((20/8*-1)/((-23)/(-46)))? 0 What is the value of (-6*10/450)/((-35)/(-25))? -2/21 What is the value of (-3*1)/(69/46*-13)? 2/13 Calculate 12/(-56)*-1*(-168)/(-72). 1/2 What is the value of ((-3)/(12/16*-4))/(5/10)? 2 Evaluate (-26)/(-39)*108/(-8). -9 Evaluate ((-1)/2*62/31)/(4/(-80)). 20 What is the value of 3480/150*(-80)/64? -29 What is the value of (55/(-66))/((-41)/(-984))? -20 What is the value of ((-15)/6*792/(-4400))/(2/8)? 9/5 What is (5*(-15)/(-30))/((-15)/(-24))? 4 Calculate (216/81)/((20/1950)/(4/40)). 26 What is 21/(-5)*1870/(-561)? 14 What is (((-8050)/(-125))/(-23))/(((-16)/(-20))/(-1))? 7/2 Evaluate (3/(-2))/((-16)/(-32)). -3 What is the value of ((-20)/(-150))/((6*1/9)/2)? 2/5 What is the value of ((-704)/3630)/32*(-30)/(-9)? -2/99 What is (-1)/(12/(-9))*(-569)/(-3414)? 1/8 Evaluate (-17)/(782/69)*-2*(-4)/(-6). 2 Calculate 1*5*((-3534)/(-155))/(-19). -6 (1685/1011)/(1/(-9)) -15 What is (20/(-16))/((-5)/72)? 18 (-6*5/(-135))/((-155)/558) -4/5 (-1)/(2/(-28)*2) 7 -2*12/168*2/(-2) 1/7 Evaluate 3/3*(-2)/(-2)*(-756)/(-1701). 4/9 What is (2/39*29/(-58))/((-1)/(-6))? -2/13 What is the value of (78/(-390))/((4/36)/((-4)/12))? 3/5 21*18/72*4 21 (15/28)/3*(-1920)/(-480) 5/7 ((-112)/(-240))/((-308)/264) -2/5 What is the value of (8/((616/(-33))/14))/(2/(-8))? 24 ((48/60)/(18/(-45)))/(-127) 2/127 What is 5/10*-3*3*8/(-6)? 6 What is (-1519)/(-434)*10/(-6)*(-3)/14? 5/4 What is the value of ((336/(-14))/24)/((-4)/40)? 10 What is the value of 2/5*5790/(-193)? -12 Evaluate (-5)/(-68)*(-5160)/3225. -2/17 Calculate (-28)/14*(-8)/(-160). -1/10 (-133)/(-969)*(-336)/196 -4/17 What is (-2*(-135)/(-450))/(3/55)? -11 91/(-65)*((-34)/204)/(1/15) 7/2 Evaluate 1096/(-2740)*(4/10)/((-1)/(-5)). -4/5 (2/(-5))/((-2)/((-105)/(-48)*4)) 7/4 (1/6)/((-182)/39*1) -1/28 What is the value of (49/(-14)*14/(-49))/25? 1/25 What is ((81/12)/(183/(-122)))/(3/6)? -9 (27/18)/(7/(-133)*(-3)/(-2)) -19 Evaluate (-45*(-49)/1470)/(1*(-1)/3). -9/2 Evaluate ((-2)/15)/((-205)/1230). 4/5 What is the value of (-143)/33*(-102)/221? 2 (-3)/(-1)*(-1)/2*57/(-1197) 1/14 3/(-6)*(-6068)/(-74) -41 ((-341)/62)/((-165)/(-180)) -6 What is 84/(-10206)*-81*-1*18/1? -12 What is the value of ((1/9)/(13*(-28)/(-2730)))/(-5)? -1/6 Evaluate ((-209)/(-38))/((-23)/(368/(-40))). 11/5 What is (-25*(-11)/110)/(30/(-12))? -1 (10*1/(-7))/(((-20815)/(-115))/(-1267)) 10 Evaluate (4/11)/(24/44)*12/1. 8 What is ((-7)/3*2/21)/(5/20)? -8/9 Calculate ((-120)/(-275))/((-3)/(-11)). 8/5 What is (-3)/((-273)/((-147)/21))? -1/13 Calculate (-8)/22*-11*(-52)/286. -8/11 What is 679/(-388)*(-1)/(-28)? -1/16 Evaluate -2*(-150)/(-10)*(-96)/240. 12 Evaluate (2/2)/(-2)*(961/(-31))/31. 1/2 What is the value of (33/(-286))/((-4)/(-24)*3)? -3/13 What is the value of (((-224)/96)/((-2)/3))/1? 7/2 What is (-12)/9*21/2? -14 Evaluate ((122/427)/((-12)/(-63)))/(-9). -1/6 Evaluate (736/(-414))/(16/(-72)). 8 Calculate (-9)/2*244/37332. -1/34 What is (15*2/24)/(((-28)/16)/7)? -5 What is the value of ((-24)/30)/(378/(-105))? 2/9 What is 4*((-24)/54*9)/(1/(-1))? 16 Evaluate ((-620)/(-310))/(2/5). 5 3*(-7)/(-14)*(-88)/(-165) 4/5 What is 10*12/54*162/45? 8 Calculate 11/(((-22)/15)/((-676)/845)). 6 Calculate -92*(-8)/(-80)*4*(-95)/152. 23 What is the value of (216/432)/((-44)/(-8))? 1/11 What is (180/(-210)*(-1)/1)/(4/(-6))? -9/7 What is 48/(-32)*4/(-6)*2/1? 2 Evaluate 15540/(-4625)*(-10)/12. 14/5 Evaluate (549/61)/(((-24)/(-20))/(-2)). -15 16/(-84)*(-5)/(480/112) 2/9 Calculate ((-20)/14)/((-94)/(-658)). -10 Calculate (-4)/((3/((-27)/(-6)))/(4/(-108))). 2/9 ((-54)/48)/((-15)/(-4))*-50 15 Evaluate (-33)/(6534/24)*(-4)/(16/(-18)). -6/11 What is the value of (-258)/(-430)*4/12? 1/5 Calculate (4/335)/(2000/5000). 2/67 What is 141/282*(3/(-6))/(1/12)? -3 Evaluate (-9)/(-58)*340/(-765). -2/29 What is ((-518)/(-777))/((-22)/3)? -1/11 What is ((-12)/(-16))/((-30)/440)? -11 What is ((-938)/1407)/(19/3)? -2/19 What is the value of (-2100)/168*(-4)/5? 10 What is (6/54)/((-4)/12)? -1/3 What is the value of (-450)/54*(-9)/10*7/(-35)? -3/2 ((-18)/(-20))/((-738)/(-6765)) 33/4 What is 143/13*28/1694? 2/11 Evaluate (((-1512)/16)/9)/((-1)/(-4)*-2). 21 Calculate (168/(-54)*3)/((-1)/(9/(-3))). -28 What is ((-1059)/(-353))/((-6)/4)? -2 What is (4*75/20)/(205/(-123))? -9 Evaluate ((204/16)/(30/16))/((-12)/30). -17 Evaluate (-8)/110*160/(-192). 2/33 ((-3)/(-35))/(-24*(-8)/672) 3/10 Evaluate 342/57*-1*2. -12 Evaluate 324/2160*(-52)/351. -1/45 Calculate (((-5)/(-3))/(225/2160))/2. 8 Calculate (2/12*4)/(15/(585/(-2))). -13 Evaluate ((24/3)/(-40))/(12/(-120)). 2 What is ((-3)/(-5))/(3/315*-36)? -7/4 4920/(-1435)*(-21)/(-9) -8 (46/(-23))/(342/(-15)*15/(-6)) -2/57 What is (275/(-55))/((-10)/6)? 3 (8/6)/(3768/(-17270)*10/(-18)) 11 Calculate (-147)/(-63)*18/(-28). -3/2 What is 0/3*(57/95)/((-36)/(-30))? 0 What is the value of (21/6)/((-12)/24)? -7 Calculate (3*-2*(-7)/35)/(26/195). 9 Calculate (1/(-10))/(((-414)/(-54))/(-23)). 3/10 Calculate (20/(-20))/(1/((-12)/(-22))). -6/11 What is ((-2)/(-2))/((-36)/180*(-5)/7)? 7 What is (144/120)/((-75)/1250)? -20 What is the value of ((-4341)/(-23152))/((-9)/4)? -1/12 What is 336/(-264)*22/(-4)? 7 (30/(-21))/(-40*28/896) 8/7 What is the value of ((-12)/(-16))/(-4*(-36)/(-128))? -2/3 What is (-4)/(12/21)*16/16? -7 Evaluate ((-1)/52)/(564/(-4512)). 2/13 (36/(-10))/(2016/192)*(-42)/9 8/5 What is (44/(-77))/(1/(-7))? 4 What is the value of 678/1582*1/2? 3/14 What is (0/(-10))/((-12)/(108/(-9)))? 0 What is the value of (2/102)/((-23)/138)? -2/17 Calculate (1*(-272)/(-119))/((-4)/(-14)). 8 Calculate (-6)/(456/(-76)*3/(-6)). -2 6/(-4)*45/(6480/1056) -11 Evaluate (284/(-71))/(8/10). -5 Calculate 25/(30/(-6))*(-15)/(-50)*-12. 18 Calculate (39/26)/((-3)/(-10)). 5 (-4)/((-1)/(15/6)*250/(-150)) -6 What is the value of (-1)/(-4)*-24*(-9)/30? 9/5 Evaluate (-11)/(33/72)*18/(-72). 6 What is the value of ((-4)/5)/(8/80*-1*1)? 8 (12/(-24)*-1)/((66/150)/11) 25/2 Evaluate (65/26)/((-10)/(-12)). 3 Evaluate ((-36)/10)/(-3)*8190/(-2184). -9/2 Evaluate 7/(392/(-80))*6/48*4. -5/7 What is the value of (6/(-27))/(((-3)/(-216)*-4)/2)? 8 What is the value of ((-18480)/128)/(-33)*12*(-1)/(-5)? 21/2 What is th
{ "pile_set_name": "DM Mathematics" }
- 1/75*t**6. Factor v(m). -2*(m + 1)*(m + 5)**3/5 Let b(p) be the third derivative of -10*p**2 - 1 - 1/72*p**4 - 1/720*p**6 + 0*p**3 + 0*p + 1/120*p**5. Find s, given that b(s) = 0. 0, 1, 2 Let y(d) be the second derivative of -d**7/84 - d**6/24 - d**5/24 + 10*d**3/3 - 2*d**2 + 205*d. Let x(f) be the second derivative of y(f). Factor x(o). -5*o*(o + 1)*(2*o + 1) Suppose 340 = m + 28. Suppose m = -0*s + 13*s. Factor 320*u + 76*u**2 + 21*u**3 - 41*u**3 - 400 + s*u**3. 4*(u - 1)*(u + 10)**2 Suppose -10*r + w = -8*r + 11, 11*w = -r + 121. Let h = -65 + 263/4. Factor r*i**3 - 3/2*i**4 + h*i**5 + 3/2*i**2 - 3/4*i + 0. 3*i*(i - 1)**3*(i + 1)/4 Let z(g) be the second derivative of -g**4/48 - 33*g**3/8 - 97*g**2/4 - 792*g. Let z(v) = 0. Calculate v. -97, -2 Let x = 13 + -8. Suppose -2*d + h = -1, 0*d - 1 = x*d + h. Factor 138*m**2 + 216*m**3 - 19 + 21*m**5 + d*m + 1 + 2*m + m + 120*m**4. 3*(m + 1)**3*(m + 3)*(7*m - 2) Let v(s) = 38*s**2 - 111*s + 57*s + 68*s + 8 + 32*s**3. Let y(j) = -11*j**3 - 13*j**2 - 5*j - 3. Let k(u) = 3*v(u) + 8*y(u). Determine q, given that k(q) = 0. -1, -1/4, 0 Let s(r) be the first derivative of r**4/3 + 1121*r**3/9 + 140*r**2/3 - 6838. Factor s(x). x*(x + 280)*(4*x + 1)/3 Suppose 131*y = 44*y + 54*y + 66. Let j(w) be the second derivative of -1/168*w**7 + 0 + 0*w**2 + 1/24*w**4 + 0*w**3 - 1/16*w**5 + 1/30*w**6 - y*w. Factor j(b). -b**2*(b - 2)*(b - 1)**2/4 Let h(n) = 5*n**2 + 28*n + 32. Suppose -21*v - 24 = -15*v. Let m be h(v). Factor -3/2*c - 3/2*c**3 + 3*c**2 + m. -3*c*(c - 1)**2/2 Let d be -1 + (-1 - -2) - -23. Let y = -19 + d. Factor 2*q**3 + 0*q**2 - 4*q**2 + q**y + 54 - 8*q - 54. q*(q - 2)*(q + 2)**2 Find i, given that 121*i**2 - 274*i**5 + 872*i**5 - 140*i**4 + 159*i**2 - 300*i**5 - 140 - 5*i - 303*i**5 + 10*i**3 = 0. -28, -1, 1 Let s = -969 + 977. Let g(c) = 6*c**2 - 46*c - 13. Let y be g(s). Factor 1/3*l**4 + 0 + 0*l + 0*l**2 + 1/3*l**y. l**3*(l + 1)/3 Let u(k) be the first derivative of k**3/8 + 177*k**2/16 + 1651. Find c, given that u(c) = 0. -59, 0 Let m(s) be the first derivative of -56/3*s - 2/3*s**3 - 249 - 1/6*s**4 + 8*s**2. Factor m(z). -2*(z - 2)**2*(z + 7)/3 Suppose 196*c**2 - 796 - 100*c**2 - 33*c**2 - 228 - c**3 - 960*c = 0. What is c? -1, 32 Let g(c) be the first derivative of -625*c**6/9 - 180*c**5 + 421*c**4/6 + 2684*c**3/9 + 68*c**2 + 16*c/3 + 529. Determine o, given that g(o) = 0. -2, -1, -2/25, 1 Let u = 2481/5 - 14881/30. Let s(t) be the third derivative of -10/3*t**3 + 1/3*t**5 - u*t**4 + 1/30*t**6 + 0 + 5*t**2 + 0*t. Determine x so that s(x) = 0. -5, -1, 1 Let w be 6/75 - (3 + 438/(-150)). Let 1/6*f**5 - 1/6*f**2 + 0 - 1/6*f**3 + w*f + 1/6*f**4 = 0. Calculate f. -1, 0, 1 Let h(s) = -s**3 + 7*s**2 + 7*s + 5. Let c be h(8). Let b be 79 + c/2*2. Solve -2*o**2 - b*o**3 + 2*o**4 + 145*o**3 + o - 70*o**3 = 0 for o. -1, 0, 1/2, 1 Let j(a) = -a**3 + a**2 - 7*a + 19. Suppose 3*n = 5*c + 1, 5*n + 2 - 8 = 4*c. Let i be j(n). Let k**3 + 3/4*k**2 - i - k + 1/4*k**4 = 0. What is k? -2, -1, 1 Let k be (-875)/(-570) + (-214)/6099. Factor -9/2*m + 0 + 9/2*m**3 + 3/2*m**4 - k*m**2. 3*m*(m - 1)*(m + 1)*(m + 3)/2 Let d(r) be the first derivative of -2*r**5/15 + r**4/3 + 122*r**3/3 + 372*r**2 + 1224*r + 10868. Solve d(t) = 0 for t. -6, -3, 17 Factor -372*o**3 - 475061 - 25480 - 8*o**4 + 182280*o - 15338*o**2 + 6*o**4 + 20341. -2*(o - 5)**2*(o + 98)**2 Let s be -19*1 - 24/(204/(-17)). Let h be s + 11 - (-102)/9. Solve -64/3 - h*l - 1/3*l**2 = 0 for l. -8 Solve -150*v**4 - 282*v**3 + 29*v**2 - 9*v**5 - 1373*v**2 - 200*v**3 - 307*v**3 - 588*v = 0 for v. -7, -2, -2/3, 0 Let i(a) be the third derivative of -2*a**7/105 - 14*a**6 + a**5/15 + 70*a**4 - 30*a**2 + 49. Determine p, given that i(p) = 0. -420, -1, 0, 1 Let o = -1301/26 - -657/13. Let t(g) be the first derivative of 3*g - 1/18*g**6 + 9 - 1/5*g**5 + 10/9*g**3 + o*g**4 - 7/2*g**2. Solve t(p) = 0. -3, 1 Let k = 390735 - 5861011/15. Factor k*q**3 + 0 - 2/15*q**4 - 8/5*q**2 + 0*q. -2*q**2*(q - 4)*(q - 3)/15 Let c be (-22 - -20)/((-4)/6). What is h in -8*h**3 - h**5 - 17*h**4 + 6*h**c + 1 + 14*h**4 + 2*h**2 + 3*h = 0? -1, 1 Let w(g) be the first derivative of 65/3*g**3 + 15/2*g**4 + 59 + g**5 + 30*g**2 + 20*g. Determine p, given that w(p) = 0. -2, -1 Let a(w) be the third derivative of -w**6/24 + 97*w**5/4 + 735*w**4/4 + 58*w**2 - 7. Find b, given that a(b) = 0. -3, 0, 294 Let q(l) be the third derivative of l**7/315 + l**6/180 - 4*l**5/5 + 154*l**2 - l. Let q(w) = 0. What is w? -9, 0, 8 Let o(a) be the third derivative of -a**6/80 + 7*a**5/40 + 85*a**4/16 - 91*a**3/4 - 78*a**2 + 2. Factor o(u). -3*(u - 13)*(u - 1)*(u + 7)/2 Let g be (-32)/(-33)*((-22914)/(-76))/67. Let 8/11*n**5 + 326/11*n**3 + 296/11*n + 492/11*n**2 + g + 90/11*n**4 = 0. What is n? -6, -2, -1, -1/4 Let h be 21/126*(-15)/(-2)*(-7)/(-35). Let 7/2 - 5/4*y - h*y**2 = 0. What is y? -7, 2 Let x(y) be the first derivative of 4/15*y**5 - 1/18*y**6 - 1/3*y**4 - 2/9*y**3 + 5/6*y**2 - 98 - 2/3*y. Factor x(i). -(i - 2)*(i - 1)**3*(i + 1)/3 Let q(s) be the second derivative of s**7/945 + 7*s**6/540 + 8*s**5/135 + s**4/9 + 89*s**2 + 99*s. Let n(d) be the first derivative of q(d). Factor n(z). 2*z*(z + 2)**2*(z + 3)/9 Let g(r) be the second derivative of -r**5/50 + 361*r**4/10 - 36*r - 13. Factor g(h). -2*h**2*(h - 1083)/5 Let f = 15 + 15. Factor -125 - 35*m + 17*m - 5*m**3 + f*m**2 + 15*m**2 - 57*m. -5*(m - 5)**2*(m + 1) Let k(s) be the third derivative of -s**8/5040 - s**7/180 + s**5/20 - s**4/24 - 2*s**2. Let p(a) be the third derivative of k(a). Factor p(q). -4*q*(q + 7) Let y(f) be the second derivative of f**4/12 - 23*f**3/2 - 71*f**2 - 1316*f. Find x, given that y(x) = 0. -2, 71 Let d = 92259 - 369031/4. Find p such that 2*p**2 - d*p**3 + 1/4*p**4 - p + 0 = 0. 0, 1, 2 Let b(t) be the third derivative of 1/8*t**4 + 1/40*t**5 + 0*t**3 - t**2 - 1/80*t**6 + 3*t + 0. Factor b(y). -3*y*(y - 2)*(y + 1)/2 Let a(d) be the first derivative of d**6/9 - 2*d**5/25 - 217*d**4/30 - 18*d**3/5 + 212*d**2/15 + 56*d/5 + 452. Determine i, given that a(i) = 0. -6, -1, -2/5, 1, 7 Let b(f) be the first derivative of 2*f**3/15 + 7*f**2 - 1128*f/5 - 1366. Factor b(h). 2*(h - 12)*(h + 47)/5 What is m in 280/3*m + 4/3*m**3 - 1176 + 94/3*m**2 = 0? -14, 9/2 Let s(h) be the second derivative of 5*h - 100/7*h**2 + 1/5*h**5 + 20/3*h**3 - 1/105*h**6 + 37 - 23/14*h**4. Determine x so that s(x) = 0. 2, 5 Let l(v) be the third derivative of 0 + 1/45*v**5 - 1/315*v**7 + 1/18*v**4 + 1/1008*v**8 - 3*v**2 - v + 0*v**3 - 1/120*v**6. Factor l(c). c*(c - 2)**2*(c + 1)**2/3 Suppose 0 = 3*i - 3*p + 1347, -205 - 242 = i - 3*p. Let m = 452 + i. Factor -9/4*d + 3/8*d**m + 0. 3*d*(d - 6)/8 Let a(n) be the second derivative of 0 - 1/60*n**5 - 5/36*n**4 + 1/18*n**3 - 10*n + 5/6*n**2. Factor a(b). -(b - 1)*(b + 1)*(b + 5)/3 Factor 1808*g - 43298*g**2 - 1201216 + 86590*g**2 + 2576*g - 43296*g**2. -4*(g - 548)**2 Let i(k) = 6*k**3 - 199*k**2 + 2033*k - 7193. Let d(l) = 10*l**3 - 332*l**2 + 3388*l - 11988. Let c(g) = 7*d(g) - 12*i(g). Find v such that c(v) = 0. 10, 12 Find f, given that -2/5*f**4 - 106*f - 232/5 - 366/5*f**2 - 14*f**3 = 0. -29, -4, -1 Let x(l) be the third derivative of -1/150*l**5 - 4/15*l**3 + 38*l**2 - 1/12*l**4 + 0 + 0*l. Factor x(n). -2*(n + 1)*(n + 4)/5 Solve -4186*d**4 - 207*d**3 - 1232*d**2 - 2076*d + 4194*d**4 - 1080 + 2*d**3 + 4*d**5 - 27*d**3 = 0. -5, -3, -2, -1, 9 Factor -61*d**3 + 12*d**2 - 50*d**2 - 7*d**4 + 3*d + 13*d. -d*(d + 1)*(d + 8)*(7*d - 2) Let l = -604 + 620. Let a be (l/(-8))/(-4)*0. Factor a - 1/6*o**2 - 1/2*o. -o*(o + 3)/6 Let m(z) = -8*z**2 - 14*z - 12. Let w(l) = -7*l**2 - 13*l - 11. Suppose 3*y + 9 = 4*i, -5*i = -3*y - 5 - 10. Let d(h) = i*w(h) - 5*m(h). Factor d(u). -2*(u + 1)*(u + 3) Let g(s) be the third derivative of -s**8/2184 - 272*s**7/1365 - 4624*s**6/195 - 763*s**2. Let g(d) = 0. Calculate d. -136, 0 Let r(k) = 6*k**3 + 1543*k**2 - 589838*k + 49. Let j(z) = -5*z**3 - 1542*z**2 + 589836*z - 42. Let d(y) = -7*j(y) - 6*r(y). Factor d(h). -h*(h - 768)**2 Let v = -84 - -422/5. Let p be (-672)/(-756) - (-19)/((-42750)/1325). Let 1/5 - 2/5*i**3 + p*i**5 + v*i**4 + 1/10*i - 3/5*i**2 = 0. What is i? -1, 2/3, 1 Let d be ((-796)/6 - 2)*5/1020. Let l = -28/51 - d. Factor 1/9*v + 2/9 - l*v**2. -(v - 2)*(v + 1)/9 Le
{ "pile_set_name": "DM Mathematics" }
ve of -y**8/14 - y**7/210 - 103*y**5/60 + 92*y**2. Find the third derivative of k(p) wrt p. -1440*p**2 - 24*p Let b(x) = 2*x**5 - 94*x**4 - 8*x**2 - 7*x - 91. Let w(g) = -2*g**2 - g. Let y(h) = b(h) - 4*w(h). Find the second derivative of y(o) wrt o. 40*o**3 - 1128*o**2 Suppose 46 = 2*k + 2*d, 3*k - 67 = 5*d + 26. Suppose -3*j - 1 + k = -g, -4*g = -2*j. Find the first derivative of j - 2*f + 0*f - 6 wrt f. -2 Suppose -10*l + 12 = -8. Find the third derivative of -2*q**l - 31*q**2 + q**4 + q**4 + 17*q**4 wrt q. 456*q Let p(b) be the first derivative of 9*b**4/4 + 2*b**3 - 66*b + 67. What is the derivative of p(n) wrt n? 27*n**2 + 12*n Let a(p) be the second derivative of p**8/14 + p**7/14 + 3*p**4/4 + p**3/6 - 6*p. What is the third derivative of a(i) wrt i? 480*i**3 + 180*i**2 Let y be (-22 - -17) + 1*11. Find the third derivative of -4*x**2 + 5*x**2 + 10*x**6 + 26*x**2 - 37*x**y wrt x. -3240*x**3 Suppose 0 = c - 37 + 22. Find the second derivative of -3*h + c*h**2 + 0*h - h wrt h. 30 Suppose 12*j = 17*j - 595. Suppose j + 6 = 5*x. Find the third derivative of -10*f**5 + 0*f**2 + 14*f**2 + x*f**5 wrt f. 900*f**2 Find the third derivative of -31*r**3 - 11*r + 54*r - 4*r**6 + 2*r**6 + 4*r**2 - 30*r wrt r. -240*r**3 - 186 Let f(u) = u**3 + 4*u**2 + 5. Let k be f(-4). Suppose 3 = k*a - 12. What is the derivative of -a*x - 3*x**4 + 3*x - 4 wrt x? -12*x**3 Let l be 5010/105 - 2/(-7). Differentiate 26 - 4*j - 46*j**2 + l*j**2 - j wrt j. 4*j - 5 Let b(u) = u**3. Let m(k) = 9*k**3 + 15*k**2 + 134*k - 1. Let j(r) = 6*b(r) + m(r). Find the second derivative of j(s) wrt s. 90*s + 30 Find the second derivative of v**3 - 25*v**3 - 8 - 34*v + 7 - 8*v wrt v. -144*v What is the derivative of -514 - 373*c + 234 + 2 wrt c? -373 Suppose -3*i - 4*k + 16 = 0, 5*i + 2*k = -k + 34. Suppose -2*f + i + 4 = 0. Find the third derivative of 0*o**5 - 5*o**2 + f*o**5 + 2*o**2 + 0*o**5 wrt o. 360*o**2 Let p(x) be the first derivative of -x**6/6 + 58*x**3/3 - 15*x**2/2 - 374. Find the second derivative of p(v) wrt v. -20*v**3 + 116 What is the second derivative of 2*o - 79*o**3 + 43*o**3 - 2*o**5 + 322 + 119*o**3 + 185*o**3 wrt o? -40*o**3 + 1608*o Suppose -8*v = -3*v - 70. What is the second derivative of -v*i - 30*i**4 + 22*i**4 + 18*i**4 wrt i? 120*i**2 Let t(r) be the second derivative of 0 + 3/20*r**5 + 3/4*r**4 + 0*r**3 + 9*r + 0*r**2. Find the third derivative of t(c) wrt c. 18 Suppose 0*t + 2*t = 4*c - 8, 0 = 5*c + 5*t - 25. What is the second derivative of -3*n**5 - 38*n + c*n**5 - 14*n**5 wrt n? -280*n**3 Find the first derivative of 10*m**2 + 470 + 6*m**2 - 81 + 47 + 2*m + 120*m**2 wrt m. 272*m + 2 Let f(q) be the second derivative of -q**6/240 - q**5/60 + 25*q**4/12 + 25*q. Let o(r) be the third derivative of f(r). Find the first derivative of o(i) wrt i. -3 Differentiate 36 - 11 + 26*z**2 + 19 wrt z. 52*z Let s be (-2)/(-4) + (-14)/(-4). Suppose -5*d + 36 - 6 = 0. Find the third derivative of -3*w**2 - d*w**3 + s*w**3 - 3*w**2 wrt w. -12 Let a = 72 + -52. What is the third derivative of -3*j**6 + 2*j**6 + 5*j**2 + a*j**2 wrt j? -120*j**3 Let w = 18 - 47. Let o = -21 - w. Differentiate -2*p + o + 3*p + 3*p wrt p. 4 Find the second derivative of -1005*r**3 + 1318*r**3 + 13*r - 2 - 98*r - 30*r wrt r. 1878*r Suppose -8*v = -0*v - 32. What is the second derivative of -22*y**v + 23*y**4 + y - 2*y - 6*y wrt y? 12*y**2 Suppose 0 = 3*c - 18 + 9. What is the third derivative of h**3 - 7*h - 15*h**c + 7*h + 28*h**2 wrt h? -84 Let x(q) = -q**2 - 11*q - 6. Let i be x(-10). What is the second derivative of 11*p**4 + 3*p**i + 11*p**3 + 8*p - 11*p**3 wrt p? 168*p**2 Let t be 472/56 - 3/7. Let g(z) = -z**2 + 8*z + 7. Let q be g(t). Differentiate 2 + 4*f - 7 + q - 3*f wrt f. 1 Let s(r) be the third derivative of -3*r**8/28 - r**6/120 + r**5/20 + 20*r**3/3 - 3*r**2 - 93*r. Find the third derivative of s(c) wrt c. -2160*c**2 - 6 Let k(d) be the first derivative of -11*d**5/60 - d**3 - 9*d**2 + 21. Let x(j) be the second derivative of k(j). Find the first derivative of x(n) wrt n. -22*n Let k(r) = 124*r**3 + 23*r**2 - 4*r - 1. Let p(l) = 246*l**3 + 44*l**2 - 9*l - 3. Let h(s) = 9*k(s) - 4*p(s). What is the third derivative of h(z) wrt z? 792 Let h = -2 - -4. Suppose 3*u + w - 7 = -3, 5*u = -2*w + 6. What is the third derivative of 3*k**h - u*k**2 + 2 - 2 + 2*k**5 wrt k? 120*k**2 Let d = -1926 - -1933. Let y(t) be the second derivative of 0*t**3 + 1/4*t**4 + d*t - 1/10*t**5 + 0*t**2 + 0. What is the third derivative of y(i) wrt i? -12 Suppose -3*u - 4*d = -u - 7988, 3982 = u + 5*d. What is the third derivative of 3963*p**3 - u*p**3 + 3 - 19*p**2 - 3 wrt p? -234 Differentiate -35*c**3 + 1 - 32 + 4*c**3 with respect to c. -93*c**2 Let x(c) = c. Let q be (-117)/18 - 1/(-2). Let m(o) = -11*o**2 - 6*o - 11. Let t(d) = q*x(d) - m(d). Differentiate t(u) wrt u. 22*u Let r(j) be the second derivative of 0*j**2 - 36*j + 0 + 43/20*j**5 + 0*j**3 - 19/6*j**4. Find the third derivative of r(c) wrt c. 258 Let n(r) be the second derivative of -28*r**5/5 + 13*r**2 - 2*r + 93. Find the first derivative of n(w) wrt w. -336*w**2 What is the second derivative of -71*i**4 - 19*i**4 + 57*i - 184*i wrt i? -1080*i**2 Let m(h) be the first derivative of -1/2*h**4 - 10*h - 12/5*h**5 + h**3 + 36 + 0*h**2. What is the third derivative of m(d) wrt d? -288*d - 12 Suppose 3*r + 1 + 5 = 0. Let u be 1 + (-1 + 3 - r). What is the second derivative of -z - 11*z**5 + 6*z**u + 6*z**5 wrt z? 20*z**3 Let k(s) be the second derivative of 0 + 0*s**4 - 9/20*s**5 + 5*s**2 + 0*s**3 + 7*s. Find the first derivative of k(f) wrt f. -27*f**2 Find the third derivative of 34*v**2 - 770*v**6 + 694*v**6 - 112*v - 3*v**4 + 116*v wrt v. -9120*v**3 - 72*v Let o = 142 - 98. What is the second derivative of o*a**2 + 0*a - 40*a**2 + a wrt a? 8 Let k(g) be the third derivative of 61*g**6/40 + 41*g**5/30 + g**4/12 + g**2 - 24*g. Find the third derivative of k(m) wrt m. 1098 Let g(f) = -1118*f**2 - 14*f + 326. Let j(n) = -372*n**2 - 5*n + 111. Let c(s) = 3*g(s) - 8*j(s). What is the second derivative of c(x) wrt x? -756 Let y(m) be the second derivative of -22*m**5/5 - 31*m**4/2 + 102*m. What is the third derivative of y(c) wrt c? -528 Let a(w) = w**3 + 2*w**2 + w - 2. Let l be a(-2). Let s be 5 + 0/(l - -8). Find the third derivative of 20*p - 20*p + s*p**5 - 9*p**2 wrt p. 300*p**2 Suppose 2*l - 3*l = -5*n + 24, 3*n = -2*l + 4. What is the second derivative of 26*a**4 + n*a - 3*a - 29*a**4 wrt a? -36*a**2 Let z(m) be the third derivative of 359*m**7/210 - 119*m**3/3 + 12*m**2 - 4*m. Find the first derivative of z(g) wrt g. 1436*g**3 Let c(h) be the third derivative of 167*h**7/35 + 833*h**3/6 + 166*h**2 - 2. What is the derivative of c(m) wrt m? 4008*m**3 What is the first derivative of -361*q**4 - 18 - 81 + 389*q**4 wrt q? 112*q**3 Let v(d) be the first derivative of d**8/336 - d**6/180 - 2*d**3/3 + 10. Let i(a) be the third derivative of v(a). What is the third derivative of i(h) wrt h? 120*h Suppose k - 5*p + 11 = -0*k, 5*p - 15 = 0. What is the third derivative of -y**2 - 13*y**2 - 2*y**2 - 11*y**k wrt y? -264*y Let q(c) be the third derivative of -47*c**5/60 + 17*c**4/24 - 3*c**2. Find the second derivative of q(g) wrt g. -94 Let i(b) = 120*b**3 + 6*b**2 + 19*b - 117. Let t(f) = -241*f**3 - 11*f**2 - 35*f + 233. Let m(v) = -11*i(v) - 6*t(v). Find the second derivative of m(d) wrt d. 756*d Let g(b) = 348*b**2 - 246. Let i(z) = 117*z**2 - 82. Let s(n) = 5*g(n) - 14*i(n). What is the first derivative of s(w) wrt w? 204*w Let o be 15/6*12/5. Find the second derivative of 18 - 33 + o*b + 15 + b**3 wrt b. 6*b Let j(q) = q + 6. Let p be j(4). What is the second derivative of o**3 - 26*o + 2*o**3 - p*o**2 + 10*o**2 wrt o? 18*o What is the second derivative of 115*a**2 + 914*a - 91*a**2 + 57*a**2 + 223*a**2 + 115*a**2 wrt a? 838 Let p(u) be the first derivative of u**4/6 + 35*u**3/6 + 4*u**2 + 8. Let s(c) be the second derivative of p(c). Differentiate s(a) wrt a. 4 What is the second derivative of -q - 14 + 3826*q**4 - 3525*q**4 + 0*q wrt q? 3612*q**2 Let w(r) = r**2 + r + 183. Let v(p) = 2*p**2 + 4*p + 549. Let y(h) = -2*v(h) + 7*w(h). Differentiate y(g) with respect to g. 6*g - 1 Let v(h) = 127*h**2 - h**3 - 67*h**2 - 61*h**2 + h - 1. Let k
{ "pile_set_name": "DM Mathematics" }
8*i**3/5 - 30672*i**2/5 - 2232576*i/5 - 29942784/5. -(i - 228)**2*(i + 24)**2/5 Find i such that 2*i**5 - 22*i**4 - 930*i**3 + 5950*i**2 - 5000*i = 0. -20, 0, 1, 5, 25 Factor -2*y**3/13 + 58*y**2/13 + 684*y/13. -2*y*(y - 38)*(y + 9)/13 What is q in q**2 + 1706*q + 3408 = 0? -1704, -2 Solve -9*i**4 - 6522*i**3 - 1575672*i**2 - 127253760*i - 84137472 = 0. -248, -228, -2/3 Let 5*s**4 - 4980*s**3 - 5*s**2 + 4980*s = 0. What is s? -1, 0, 1, 996 Factor 2*t**4 - 174*t**3 + 3194*t**2 - 5874*t + 2852. 2*(t - 62)*(t - 23)*(t - 1)**2 Let 3*b**5 - 4680*b**4 - 18777*b**3 + 14046*b**2 + 46944*b - 37536 = 0. What is b? -4, -2, 1, 1564 Let m**4/7 + 366*m**3/7 - 1480*m**2/7 = 0. Calculate m. -370, 0, 4 Factor -5*r**2 + 72160*r + 72165. -5*(r - 14433)*(r + 1) Factor -3*t**2 - 204*t - 1440. -3*(t + 8)*(t + 60) Factor -5*a**3/4 + 355*a**2/4 - 3215*a/2 + 2870. -5*(a - 41)*(a - 28)*(a - 2)/4 Find d, given that -2*d**3/5 + 47682*d**2/5 - 47676*d/5 - 19072 = 0. -1, 2, 23840 Determine u so that -21*u**3 + 226*u**2 + 259*u - 2244 = 0. -68/21, 3, 11 What is t in -2*t**3 + 16262*t**2 - 32518*t + 16258 = 0? 1, 8129 Find c, given that 3*c**2/5 + 15648*c + 102024960 = 0. -13040 Factor -x**2/2 - 122149*x - 14920378201/2. -(x + 122149)**2/2 What is w in 14*w**2/9 + 307528*w/9 + 29288/3 = 0? -21966, -2/7 Factor -26611245*f**2 - 23070*f - 5. -5*(2307*f + 1)**2 What is k in 35*k**4/8 + 11653*k**3/4 - 834527*k**2/8 + 445781*k/4 + 40425 = 0? -700, -2/7, 7/5, 33 Suppose 5*i**4 + 480*i**3 - 2025*i**2 - 2500*i = 0. Calculate i. -100, -1, 0, 5 What is b in -2*b**4/7 - 64*b**3/7 + 388*b**2/7 + 1728*b + 6930 = 0? -33, -7, 15 Factor -2*k**3 - 1522*k**2 - 7532*k + 21168. -2*(k - 2)*(k + 7)*(k + 756) Factor 5*d**2 - 1475*d - 2970. 5*(d - 297)*(d + 2) Solve -5*x**5 + 275*x**4 - 3695*x**3 + 13145*x**2 + 14860*x - 56980 = 0 for x. -2, 2, 7, 11, 37 What is g in 39*g**2 + 732*g/7 + 459/7 = 0? -153/91, -1 Factor t**3/4 - 1103*t**2/4 + 62282*t + 7903556. (t - 596)**2*(t + 89)/4 Find q such that 5*q**3 - 1275*q**2 + 3790*q - 2520 = 0. 1, 2, 252 Factor 2*z**3 + 1072*z**2 - 2150*z + 1076. 2*(z - 1)**2*(z + 538) Factor -4*a**2 + 2725948*a + 2725952. -4*(a - 681488)*(a + 1) What is p in p**4/5 + 10*p**3 - 103*p**2 - 552*p + 11484/5 = 0? -58, -6, 3, 11 Factor 4*m**4 + 1856*m**3 + 61904*m**2 + 116416*m. 4*m*(m + 2)*(m + 34)*(m + 428) Factor -3*x**2/7 + 1095*x/7 + 5550/7. -3*(x - 370)*(x + 5)/7 Factor 2*r**3 - 476*r**2 + 8498*r - 38544. 2*(r - 219)*(r - 11)*(r - 8) Factor 2*o**4 - 788*o**3 + 17886*o**2 - 46620*o. 2*o*(o - 370)*(o - 21)*(o - 3) Let 2*m**5 + 9096*m**4 - 18206*m**3 - 27284*m**2 + 72792*m - 36400 = 0. Calculate m. -4550, -2, 1, 2 Let -y**5/7 - 246*y**4 - 11993*y**3/7 + 20756*y**2/7 + 302160*y/7 + 78400 = 0. What is y? -1715, -4, 5 Find f, given that -2*f**2/5 - 17520*f = 0. -43800, 0 Factor 4*o**2 + 24296*o + 36893476. 4*(o + 3037)**2 Factor v**4 + 32*v**3 - 140*v**2 + 144*v. v*(v - 2)**2*(v + 36) Find f, given that -3*f**5 - 58*f**4 - 58*f**3 + 248*f**2 - 75*f - 54 = 0. -18, -3, -1/3, 1 Determine l, given that -l**2/3 + 17164*l/3 - 22880 = 0. 4, 17160 Solve -m**5/10 - 9*m**4 - 258*m**3/5 - 508*m**2/5 - 336*m/5 = 0 for m. -84, -2, 0 What is m in -m**2/3 + 283*m/3 + 1386 = 0? -14, 297 Find g such that 5*g**4 + 5505*g**3 + 597375*g**2 - 567253125*g = 0. -675, 0, 249 Suppose -3*h**5 + 3882*h**4 + 7773*h**3 + 3888*h**2 = 0. Calculate h. -1, 0, 1296 Determine j so that -4*j**2 + 12704*j + 38148 = 0. -3, 3179 Determine i so that -2*i**2/9 - 1798*i/9 - 1792/3 = 0. -896, -3 Factor 4*p**3 + 1280*p**2 - 22796*p + 40440. 4*(p - 15)*(p - 2)*(p + 337) Solve -g**2 - 2807*g + 2808 = 0. -2808, 1 Find f, given that -3*f**3 + 7014*f**2 - 7011*f = 0. 0, 1, 2337 Solve 4*g**4 - 608*g**3 + 30432*g**2 - 589696*g + 3421760 = 0. 10, 34, 74 Let 3*t**4 + 255*t**3 + 246*t**2 - 504*t = 0. Calculate t. -84, -2, 0, 1 Let 6*o**4/11 + 6*o**3 - 84*o**2/11 - 144*o/11 = 0. Calculate o. -12, -1, 0, 2 Let -3*z**4 + 7899*z**3 + 47547*z**2 - 118455*z - 791700 = 0. What is z? -5, 4, 2639 Factor -717409*c**3/3 - 6776*c**2 - 48*c. -c*(847*c + 12)**2/3 Determine y so that -4*y**3 - 112*y**2 + 21964*y + 22072 = 0. -89, -1, 62 Solve k**4/4 + 13605*k**3 + 185096025*k**2 = 0 for k. -27210, 0 Determine n, given that 3*n**4 + 1008*n**3 + 55071*n**2 + 107130*n + 53064 = 0. -268, -66, -1 Factor -4*t**2 + 1902472*t - 226212481924. -4*(t - 237809)**2 Suppose 2*o**2/21 + 16930*o/7 = 0. Calculate o. -25395, 0 Factor -2*v**2/3 - 76492*v/3 - 731378258/3. -2*(v + 19123)**2/3 Find p such that -2*p**3/11 + 8318*p**2/11 + 41632*p/11 + 33312/11 = 0. -4, -1, 4164 Factor 2*t**3/17 - 11262*t**2/17 - 11264*t/17. 2*t*(t - 5632)*(t + 1)/17 Factor z**3/4 - 1185*z**2/4 + 330687*z/4 + 12239073/4. (z - 609)**2*(z + 33)/4 Suppose 3*o**4/8 - 249*o**3/8 - 657*o**2/4 - 69*o + 264 = 0. Calculate o. -4, -2, 1, 88 Let 1603083*c**4 - 1629399*c**3 + 26424*c**2 - 108*c = 0. Calculate c. 0, 6/731, 1 Suppose 48*u**4/5 - 43556*u**3/5 - 32802*u**2/5 + 98106*u/5 - 21796/5 = 0. What is u? -2, 1/4, 1, 5449/6 Find n such that -4*n**5 + 84*n**4 + 5176*n**3 + 14984*n**2 + 14796*n + 4900 = 0. -25, -1, 49 Suppose -5*a**4/4 + 37*a**3 - 1065*a**2/4 + 1025*a/2 + 250 = 0. What is a? -2/5, 5, 20 Factor -4*l**2/3 + 96704*l/3 - 584478976/3. -4*(l - 12088)**2/3 Factor -4*y**2 + 1284*y - 32816. -4*(y - 293)*(y - 28) Factor -3*j**2 + 845262*j - 845259. -3*(j - 281753)*(j - 1) Solve -i**4 - 97*i**3 + 5607*i**2 + 17485*i + 11782 = 0. -137, -2, -1, 43 Solve q**4 - 4119*q**3 + 4288512*q**2 - 96468992*q = 0 for q. 0, 23, 2048 Factor -2*m**3/3 + 56132*m**2 - 1181550534*m. -2*m*(m - 42099)**2/3 Suppose -2*l**3 + 72*l**2 + 6072*l + 77440 = 0. Calculate l. -22, 80 Factor 4*z**3 - 2536*z**2 + 65444*z + 67984. 4*(z - 607)*(z - 28)*(z + 1) Suppose 2*o**4/11 + 1092*o**3/11 + 136638*o**2/11 + 133372*o/11 - 271104/11 = 0. Calculate o. -353, -192, -2, 1 Suppose -z**4/6 - 136*z**3/3 - 2147*z**2/2 - 1833*z + 2952 = 0. What is z? -246, -24, -3, 1 Determine g so that 2*g**5/3 - 97*g**4/3 + 207*g**3 - 239*g**2/3 - 287*g/3 = 0. -1/2, 0, 1, 7, 41 Solve -2*n**3 + 21448*n**2 - 21446*n = 0 for n. 0, 1, 10723 Factor -4*t**2 + 9180*t - 9176. -4*(t - 2294)*(t - 1) Determine v so that 50*v**4 + 3065*v**3 + 3915*v**2 + 900*v = 0. -60, -1, -3/10, 0 Factor -40208*s**2 + 281460*s - 28. -4*(s - 7)*(10052*s - 1) Let 2*v**2/13 - 59928*v/13 = 0. What is v? 0, 29964 Find m, given that -2*m**5/3 - 502*m**4 - 281182*m**3/3 + 298382*m**2 + 2391984*m + 2000376 = 0. -378, -3, -1, 7 Factor -5*f**2 - 2300490*f - 264612712005. -5*(f + 230049)**2 Let 4*n**5/3 + 80*n**4/3 - 88*n**3/3 - 80*n**2/3 + 28*n = 0. What is n? -21, -1, 0, 1 Factor 5*w**2 + 2210*w + 244205. 5*(w + 221)**2 What is i in i**5 - 3021*i**4 + 2298123*i**3 - 24879155*i**2 - 27180300*i = 0? -1, 0, 12, 1505 Suppose 3*a**3/7 + 29493*a**2/7 = 0. What is a? -9831, 0 Suppose -5*m**3 + 807415*m**2 - 32597160200*m + 97784214000 = 0. Calculate m. 3, 80740 Solve -p**3/8 + 17*p**2/4 - 40*p + 100 = 0 for p. 4, 10, 20 Let v**2/9 + 60*v = 0. What is v? -540, 0 Suppose 4*i**4 - 180*i**3 - 8412*i**2 + 17348*i - 8760 = 0. What is i? -30, 1, 73 Let -3*p**3/4 - 510*p**2 + 361353*p/4 - 179655/2 = 0. Calculate p. -826, 1, 145 Solve -w**3/2 + 106*w**2 + 5641*w/2 + 2714 = 0 for w. -23, -1, 236 Let 30*r**4 + 399*r**3 - 30*r**2 - 399*r = 0. What is r? -133/10, -1, 0, 1 Factor 2*o**3/23 + 722*o**2/23 - 2*o/23 - 722/23. 2*(o - 1)*(o + 1)*(o + 361)/23 Find c such that 3*c**2/7 - 4206*c/7 - 8424/7 = 0. -2, 1404 Let -4*p**3/3 + 2548*p**2/3 - 377692*p/3 - 3030748 = 0. What is p? -21, 329 Factor -2*p**2 - 15798*p. -2*p*(p + 7899) Factor -2*v**2/11 + 6420*v/11. -2*v*(v - 3210)/11 Find o, given that 9*o**5 - 15693*o**4 + 104364*o**3 - 250272*o**2 + 250176*o - 83376 = 0. 2/3, 2, 1737 Suppose 2*z**2/5 + 7284*z/5 - 29168/5 = 0. Calculate z. -3646, 4 Factor q**2/5 - 4163*q/5 + 70482/5. (q - 4146)*(q - 17)/5 Solve -2*a**3/5 + 358*a**2 + 29266*a/5 - 103854/5 = 0 for a. -19, 3, 911 Factor 4*k**2 - 261008*k - 783060. 4*(k - 65255)*(k + 3) Factor 4*i**2 - 21660*i + 624776. 4*(i - 5386)*(i - 29) Solve 5*l**3 + 897435*l**2 + 40272619800*l + 281864366000 = 0. -89740, -7 Factor -l**2/5 + 8636*l/5 - 18645124/5. -(l - 4318)**2/5 Let 2*x**4 - 61*x**3 + 294*x**2 - 485*x + 250 = 0. Calculate x. 1, 2, 5/2, 25 Factor -2*d**
{ "pile_set_name": "DM Mathematics" }
6)? 23 Calculate 18 + (-5 - -19) + (-5 - (29 + -12)). 10 What is 7 + 7 + -22 + -13 - (35 - -19)? -75 What is the value of (-2081 - -2062) + 2 + -2 + 30? 11 What is the value of 1090 + -1058 + (0 - -2) - 61? -27 Calculate 91 + -99 + 22 + 27. 41 What is (65 - 81) + 51 + 19? 54 Calculate (118 - (154 + -41)) + -2 + 11 + -2. 12 What is the value of 6 + 17 + -9 + 38 + 17 + -30? 39 -8 + 0 + -4 + (-20 - -20) - 70 -82 Evaluate -94 + 185 + -56 + -23. 12 Calculate -9 - (11 + 7 + -19) - (-12 - 5). 9 What is (-1 + -2 - -86) + (-79 - -53)? 57 Calculate -24 + (-47 - (-52 + 3)). -22 Calculate 73 - ((-1 - (-31 + 25)) + -42). 110 Evaluate 1 + -145 - (-9843 + 9789). -90 (-9 - (-16 + 6)) + (-8 - -29) + 12 34 What is the value of 59 + (10 - (2 - -49))? 18 What is the value of (17 + 30 - -3) + (3 - 13 - (-2 - 0))? 42 (-27 - -9) + (38 + -19 - 72) -71 What is the value of (-16 - (-8 + -6)) + -48? -50 Calculate 2 + (2 - (-11 + 5)) + -1 + (-70 - 8). -69 Evaluate 3 - 5 - ((-133 - -42) + 105). -16 Calculate (45 - (25 - -5)) + -6 + -1 - 73. -65 Calculate -1 + 32 - (-16 - (19 + -3) - -19). 44 What is the value of (5854 - 5827) + (2 - (2 - -62))? -35 Evaluate 1 + -6 + -1 + -1 + (-328 - -456) + -115. 6 -12 + 58 + (-8 - 18) + -23 -3 What is (15 - ((11 - 31) + 25)) + (3 - (2 + -16))? 27 Calculate -40 - -1 - (2377 + -2500). 84 What is the value of -30 + 3 + 33 + -83 + 38? -39 Calculate 6 + 2 + 6 + (-1 - -6) + -18 - -62. 63 What is 16 + -15 + -5 + -1 + -2 + 3 + -44? -48 Evaluate -7 + -1 - -131 - ((7 - (5 - 14)) + -31). 138 What is 3 - -6 - 3 - (7 + -7 + 11) - 11? -16 -32 + -102 + -188 + 251 -71 Evaluate 8 - (25 + -26) - (-39 + 6). 42 Evaluate -154 - (-66 - 4) - -56. -28 -1 + 9 + -290 + 258 + (-1 - -51) 26 108 - (33 + 68) - 54 -47 What is the value of 12848 - 12806 - (-1 - (1 - -1 - (10 - 1)))? 36 What is -21 + 14 + 1 + -3 - (50 + 16 - 48)? -27 Calculate (-1 - 8) + (66 - (-1 - -48)) - -61. 71 -99 + (76 - -23) + -88 -88 Calculate -1153 + 1209 - (0 - -31). 25 2 + -25 - (36 + 28 + -91) 4 What is 51 - (-5 + 21) - 12 - 22? 1 What is -19 + (39 - (-21 - (-14 - 22)))? 5 Calculate 11 - (-12 + (-19 - -13 - 17)). 46 -8 - (8 - 12) - -35 - 33 -2 What is the value of 6 + 2 + 15 + -10 + 3 + 7? 23 (-13 - 0) + -12 + (18 + -67 - (1 + 6)) -81 Evaluate 2 - (-6 - 2 - 15) - (-1 - 7). 33 What is -165 - -71 - -94 - -28? 28 What is the value of (74 - -5) + (39 - (-36 - -74))? 80 -40 - (-21 + -1 + 27 - 11) -34 -264 + 280 + (5 - (4 + 18)) -1 What is 6 - (55 - (68 + -50))? -31 17 + (-19 + (-6 - -14) - -2 - -34) 42 What is the value of 18 + -62 + 21 + (-8 - 48)? -79 Evaluate (-8 - (7 - 17)) + (14 - 0 - 90) + 11. -63 Evaluate -26 + 0 - (91 - (217 + -121)) - 26. -47 21 + 1 + -29 - ((-7 - -1) + 84 + -2) -83 Calculate (-32 - -1) + (14 - 5 - 11 - 17) + 28. -22 What is the value of -33 + 24 + (-10 - -7) + 69? 57 Evaluate -40 + (37 - 52) + 15. -40 What is (-23 - ((-82 - -28) + 7)) + (22 - 0)? 46 What is the value of 9 + -5 + ((5 - -2) + -1 - (18 - 12))? 4 Evaluate (-5 - (-1 + -1)) + (33 - (52 - 15 - 17)). 10 What is the value of (36 - (2 - 4)) + (-543 - -543)? 38 What is the value of -8 + ((0 - 17) + 27 - 9)? -7 Evaluate 45 - (17 + (-11 + 0 - (-6 + 14))). 47 Calculate 159 - (40 + -86 + 72) - (15 + 2). 116 -13 + -17 + (-2 + (-7 - -6) - -3) -30 Calculate -39 - (-12 + (44 - 37)). -34 What is 106 + 26 + (111 - 128)? 115 -5 - -2 - -39 - (85 + 4 - 66) 13 What is the value of -55 - (24 - (-66 + 101))? -44 What is the value of -32 + -42 - (1 - ((-4 - -2) + -3 - -6))? -74 10 - 1 - (7 + 3 - (-34 + 51) - -11) 5 What is the value of (1164 - 1070) + 45 + -2? 137 What is 150 - (-118 + (104 - -158))? 6 What is 21 + (5 - (3 + 8)) - 48 - 2? -35 What is the value of 18 + -6 + -1 + 3 + -22 - -15? 7 What is the value of 11 + 5 + -15 + 57 + -13 + -3 + 6? 48 Calculate 8 + (17 - 28) + 18. 15 Calculate -23 - -13 - (-65 - -47). 8 What is 118 + -82 - (65 - (-15 + 5))? -39 What is -5 + -3 + -55 + (10 - (-18 - -38))? -73 Calculate 50 - (-15 - -22) - 12 - 5. 26 Evaluate 67 + (37 - 29) - 83. -8 What is -42 + 3 + (-11 - -48) + -47? -49 What is the value of (-70 - (76 + -96)) + 11? -39 What is 0 - 8 - 16 - (3 - -5)? -32 (8 - -1) + (35 - 1 - (-90 + 71 + 30)) 32 73 - 37 - 49 - -19 6 What is 44 + 46 + -50 + -22? 18 19 + (24 - -2 - 21) + (7 - 2) 29 Calculate -5 + 2 + -9 - -18 - 11. -5 Calculate -4 - -48 - (995 - 990). 39 What is the value of -14 + 0 + -21 + -22 + 31? -26 What is the value of 36 - ((2 - (2 - 5)) + -14 - 5)? 50 Calculate -30 - (19 - 49) - 43 - -135. 92 What is (-36 - -34 - -35) + -82? -49 What is the value of (-351 - -342) + -23 + -2 + -33 + 33? -34 What is the value of -30 - (-17 - (84 + (-9 - 1)))? 61 What is the value of 68 - (93 + -50 + 12)? 13 What is -46 - ((-1 + 7 - -8) + (12 - 40))? -32 Calculate -13 - (-5 - (-22 + 20)) - -26. 16 -64 + -3 - (16 - (-6 + (-49 - -79))) -59 Evaluate (-22 + (22 - -13) - 19) + -16. -22 What is 10 + 48 + (104 - 146)? 16 What is the value of 9 + -37 + (-29 + 12 - -28)? -17 Evaluate 315 + -398 - (-21 + -2). -60 -11 + ((-1 - 7) + 8 - (-2 + -4)) -5 -21 + (2 + 1 - (-120 - -142)) + 18 -22 Calculate (-2 - 3 - -4) + -33 + 38 - 49. -45 Calculate (175 - 74) + (-232 + 246 - (-1 + 19)). 97 What is the value of -4 + 3 + (1 - 17 - (-5 - -29 - 82))? 41 31 + 28 + -14 - (17 - 5 - 7 - 4) 44 What is 12 + (-4 - 8) + (19 + 15 - 4)? 30 Calculate -49 + (25 - 13) + 64. 27 Evaluate (61 - (-39 + 65) - 25) + 68 + 0. 78 What is 3 + -1 + (-5 - ((-1 - 10) + -30 - 1))? 39 Calculate 986 - 978 - (15 - -1) - (-26 - 0). 18 Calculate 8 - (-7 + 0 - -36) - (-27 - -1). 5 Evaluate 18 - ((-73 - -18) + 27). 46 What is (5 - -11) + -28 + 8 + -6 + (3 - 2)? -9 What is (45 - (39 - -19)) + 10? -3 Calculate -8 + 21 + -1 - (-7 + 23 + 9 + -8). -5 What is the value of -34 + 45 + -47 - -54? 18 Evaluate -119 + (-116 - -124) + 171. 60 What is -97 + 7 + 50 + -9? -49 6 + -1 + 4 + (9 - ((-3 - 12) + 7)) 26 Evaluate -16 + 13 + -9 - (3 - -13) - -1. -27 What is 54 + -27 - 62 - ((-5 - -2 - 1) + -7)? -24 Calculate (41 - (-95 - -60)) + -19. 57 What is the value of -7 + (-8 - -7) + (12 + -11 - 19) + 7? -19 Evaluate 21 + -10 + -62 - (20 - 24). -47 Calculate (164 - 76) + 135 - 80. 143 Evaluate 0 + -46 - ((-1 - -67 - 52) + -15 + 0). -45 -18 + 7 + -4 - (-1 + -18 - -22) -18 Calculate -57 - (-37 + (-19 - -30) + 11). -42 What is the value of 155 + -67 + (46 - 13)? 121 What is the value of (-177 - -188) + (-17 - 25)? -31 -35 + -2 + 7 + (-83 - -79) -34 -191 + 255 - (-9 + 25) 48 (5 - 60) + 798 + -785 -42 What is (-2 - 6 - (4 + 50 + -14)) + -3? -51 Evaluate (0 - -57 - (2949 + -2926)) + -19 + 1. 16 What is -47 + 4 - ((-12 - 0) + (-128 - -126))? -29 What is the value of 17 + -25 - (3 - 28)? 17 Evaluate 7 + (603 - 600 - (0 + -5)). 15 What is (-12 - (11 + -21 + 3 + 28)) + 8? -25 ((-9 - -17) + -1 + -1 - -6) + (-44 - -3) -29 What is -50 + 19 + (-26 - -34)? -23 What is the value of 55 + (-120 - -34 - -93)? 62 What is (1 - 10) + 35 + (-55 - -13) - -12 - -54? 50 Calculate -1 + 134 - (5638 - 5561). 56 What is the value of (-111 + -1 - -2) + -9819 + 9793? -136 Evaluate 5 - 4 - (64 + -82) - (25 + -61). 55 What is the value of 2 + -55 - (68 + 12 + -79)? -54 66 - 60 - (-3 + 5 + 5 - -28) -29 Calculate -31 - 46 - -51 - (-9 - (-3 + 2 - 0)). -18 18 - 7 - -10 - (17 - 18) 22 Calculate -80 - (-25 - 45 - -11). -21 -2 + (23 + -49 - 7) + 156 121 Calculate (3 + 8 + -3 - 57) + (14 - 1). -36 What is the value of (42 - (-59 - -54 - (-10 + -7))) + 10? 40 What is (6384 - 6487) + 81 + 0? -22 Evaluate -3 + (9 - (34 - 71)). 43 -83 - -90 - -26 - (160 + -3) -124 Calculate 11 + -1 + 3 - (-2001 - -1954). 60 (-58 - -29) + 60 - (5 - 1) 27 165 - 110 - (1 - -12) 42 -9 + (30 + -22 - (-12 + 1)) - -84 94 Evaluate 1 - 65 - (45 - 59) - -14 - -10. -26 Evaluate -27 - 4 - -16 - (-2 - 5 - 0) - -46. 38 -7 + (-33 - -20 - 16) + (18 - 3) -21 Evaluate -1 + -16 + 0 + -7 + (-11 - (-4 + -7)). -24 What is the value of 46 + (13 - 5) - 50? 4 4 + -7 + (5 - (-1 + 7 + -7)) - -23 26 What is the value of 14 - (10 - 13 - (2 - 9)) - -16? 26 (-1 - (4 + -3)) + 16 - (16937 + -16846) -77 Evaluate -2 + -9 - ((10 - -28 - 19) + -49 - 21). 40 8 + 21 + -43 - -8 - -74 68 -16 - (-3 + 25 - 6 - 19) -13 What is 30 + (-8 - (49 - 21)) - -11? 5 What is the value of (4 - (6 + -3 + -7 - 11) - -14) + 15? 48 What is (1 - (-4 + (3 - 8) + (-5 - -6))) + 51? 60 E
{ "pile_set_name": "DM Mathematics" }
+ z*r - 4 = 0. Solve b + y = 1 for b. 1 Suppose 0 = 3*z - 2*f - 25, -15*z + 11*z + 22 = 3*f. Suppose -2*t = -t - 3. Suppose 4*p - 1 = t. Solve -3*h = -z + p for h. 2 Suppose 4*o - 14 = -2. Suppose -2*b - 2*x = 2*b - 18, 2*b - 5 = 3*x. Suppose 2*n + n - b*t - 12 = 0, 0 = 5*n - 5*t - 15. Solve o*d - 12 = -n*d for d. 4 Suppose k - 376 = -374. Solve 42*g - 41*g = k for g. 2 Suppose 0 = 6*k - 5*k + 3. Let w be (5/30*k)/(3/(-18)). Solve -w*t = -t for t. 0 Let h = -147 - -147. Suppose -9*n - 3 + 48 = h. Solve -6 = -n*v + 19 for v. 5 Suppose 14*z - 18 = 8*z. Suppose 3*g + 3*r = 6*g, 0 = 3*g + z*r - 12. Solve -g*i = 2*i - 8 for i. 2 Suppose -2 = -3*t + 1. Let n = 192 - 192. Solve n = -i - t + 3 for i. 2 Let j = 378 + -373. Let p be (-1)/(0 - (-2)/(-46)). Solve -3 + p = -j*u for u. -4 Let a be 180/(-120)*28/(-6). Solve -a*d = d + 40 for d. -5 Let o be (7/(-9))/(6/(-54)). Solve -o*p + 2*p - 10 = 0 for p. -2 Let s be 1 - ((-2)/(-2))/1. Suppose -1670 = -5*o - 1620. Let a(n) = n**3 - 4*n**2 - 6*n + 7. Let h be a(5). Solve s*b = -h*b + o for b. 5 Let y(x) = x**2 + 6*x + 7. Let b be y(-6). Let p = -13 + b. Let t be p*2/(-4) + 3. Solve 0*h = -2*h - t for h. -3 Let m(i) = -7*i - 7. Let c(u) = -11*u - 11. Let y(t) = -5*c(t) + 8*m(t). Suppose -11*j - 18 = 48. Let h be y(j). Solve h*s - 3*s = 4 for s. 2 Let s(u) = -u**3 - 10*u**2 - 6*u - 31. Let r be s(-10). Suppose -2*l = -4*d - 48, 5*l + 4*d - r - 35 = 0. Solve -l = 5*o + 9 for o. -5 Let m(t) = -t**2 - 20*t + 1. Let o be m(-20). Solve -11*p - o = 10 for p. -1 Suppose -3*u = -4*l - 3 + 20, -5*l + u + 13 = 0. Suppose -2 = 3*z - l*i, z + i - 5 = 1. Solve d = 2*d - z for d. 2 Suppose 5*s - 15 - 5 = 0. Let k be (s/5)/(3/(-15)). Let n = k + 6. Solve 0 = -n*l + 16 - 6 for l. 5 Let o = -21 - -19. Let q be (-4)/(2 + 1*-4). Let h = o + q. Solve h*v = 3*v for v. 0 Let n = 30 + -26. Let p = 22 + -17. Solve -n*o = -p*o for o. 0 Let x(u) = u**2 + 10*u - 6. Let s be x(-11). Suppose -5*q - 2*a = -4*a, -3*a + 5 = -5*q. Solve 0 = -q*v + s*v for v. 0 Let g be 48/(-216) + 112/18. Solve -s - 9 = -g for s. -3 Let s = -10 - -11. Suppose -p = -s, -5*r = 2*p - 11 - 11. Solve -r*v - 8 = -0*v for v. -2 Let w be 87/24 - (-96)/256. Solve w*n - 15 = 7*n for n. -5 Let p = 58 - 10. Suppose p = -q + 7*q. Suppose -5*f + q = -4*f - 2*z, -2 = -4*f - 2*z. Solve -f*g - 4 = -2 for g. -1 Let p = -40 - -78. Suppose 2 = 2*v - p. Solve 3*n + 2*n = v for n. 4 Suppose -3*q + 4 = -q. Suppose -q*k - 2 = -3*k. Solve k = -y + 2*y for y. 2 Let d(l) = 7 + 4*l + 15*l**2 - 28*l**2 - l**3 + 11*l**2. Let o be d(-3). Solve 0 = -2*p + o*p + 2 for p. -1 Suppose 85*h - 72 = 67*h. Solve h*b = -2*b - 12 for b. -2 Let z be 2/(-8) + -27*13/(-156). Solve z*t = 7*t + 10 for t. -2 Let w(m) = m**3 - 3*m**2 - m - 27. Let p be w(5). Solve -32*v + 26*v - p = 0 for v. -3 Suppose -3*i + 3*r + 84 = -2*r, -5*i - 3*r + 174 = 0. Let h = i - 27. Solve -4*u + 2*u = h for u. -3 Suppose -5*n - 36*w + 34*w = -447, 0 = 3*n - 2*w - 281. Solve 12*b = 103 - n for b. 1 Let z(r) = 6*r - 76. Let o be z(14). Solve -o*k - 2 = -9*k for k. 2 Suppose -24 = c - 3*c + 4*p, p - 29 = -3*c. Solve -13*l + c = -8*l for l. 2 Let i(r) = 2*r + 5. Let h be i(0). Suppose h*f - 18 + 8 = 0. Solve -6 - 2 = -f*m for m. 4 Suppose 0 = -3*v + 1 + 5. Suppose 2*k - 3*k = v*x - 8, 24 = 4*x + 4*k. Suppose 1 = -y - x*m + 2, 8 = 4*y + 4*m. Solve -16 = -c - y*c for c. 4 Suppose 3*w + 58 = -5*p, -5*p - 1 = -5*w - 31. Let o be (12 + w)*(-1 + 1). Solve o*t + 2 = 2*t for t. 1 Let d(j) be the first derivative of -2*j**2 - 5. Let m be d(-3). Suppose m = 2*l - 4*k, -l + 10 = -8*k + 4*k. Solve 0*n + l*n = 2 for n. 1 Suppose -2*z + 65 = 29. Solve 0 = -z*o + 7*o + 11 for o. 1 Let j = 8 - 3. Solve -15 = -j*w - 5 for w. 2 Suppose -4*f = -p - 58 + 36, -2*p = 2*f - 6. Solve -2*w + f = -5 for w. 5 Suppose 0 = 2*h + 6, 3*h - 14 = -2*q + 5*h. Suppose w - 5 = q*a - a, -3*w - 2*a = -4. Solve -w*i + 2 = -0 for i. 1 Let c = -62 - -76. Solve 4*m = c + 2 for m. 4 Let k(i) = -i - 1. Let l(g) = 3*g + 4. Let o(r) = -4*k(r) - l(r). Suppose -3 = -4*x + 1. Let v be o(x). Solve v = -p - 2 for p. -3 Let c = -8 - -10. Suppose -3*o - 3*w = -c*o - 5, 15 = 3*o + w. Suppose 1 + o = 2*r. Solve 0 = -7*a + r*a + 8 for a. 2 Let z be 10/15 - (-4)/(-6). Suppose 5*p = p - s + 16, 5*s = z. Suppose 2*v = -i - i + 8, p*i - 4*v - 32 = 0. Solve -2*f = -0*f - i for f. 3 Let d = -306 - -312. Solve d*u = 4*u - 6 for u. -3 Suppose 4*j - 58 = -2*f, -4*f + 2*f - 50 = -5*j. Suppose -j*x + 16 = -4*x. Solve x + 6 = -2*s for s. -4 Let o be 3/(-12) + (-2507)/(-92). Solve -y = -o + 30 for y. -3 Let o = -30 + 195. Suppose 8 = -o*b + 169*b. Solve 5 = b*h - 3 for h. 4 Suppose 0 = -3*p - 0 + 12. Let w = -4 + p. Suppose w = -8*i + 4*i. Solve i = -4*m - m - 10 for m. -2 Let l = -23 + 23. Solve l = -n - 5*n - 6 for n. -1 Suppose -5*u = -20*u + 60. Suppose -12*t + 16 = -u*t. Solve -t*i - i - 3 = 0 for i. -1 Suppose -5*g = -0*g - 15. Let i = 460 + -458. Solve i*p - g*p = 0 for p. 0 Suppose -5*p - 2*h = -20, 2*p - 3*h - 8 - 19 = 0. Solve -4*r = 14 + p for r. -5 Let r(u) = -u**2 + 8*u + 3. Let s be r(7). Let c = s + -8. Suppose 2*i - 4 = -c*i. Solve 0 = 5*k + 14 + i for k. -3 Let t = 14 - 9. Let s(m) = m**2 + 13*m + 15. Let g be s(-12). Solve -g*l = -2 + t for l. -1 Suppose -5*a - 13 - 21 = -3*m, -5*m + 25 = -2*a. Solve -m*h - 2 = -8 for h. 2 Suppose l - 2*l = -2*s, 0 = 3*s + 2*l - 7. Let x(q) = -12 - s + 2 - 2 + 2*q. Let a be x(7). Solve a = j - 2 for j. 3 Let y(t) = t - 8. Let u be y(4). Let o be (-1)/2*u/1. Let g = o - 0. Solve -2 = -g*m + 6 for m. 4 Let y = -8 + 24. Let b = y - 23. Let u = b - -10. Solve 0*m + m = -u for m. -3 Let x = -1588 - -1588. Solve x = -13*h + 16 - 55 for h. -3 Suppose -2 = -n - n. Let x = 19 + -16. Let a be 15/x + (2 - 3 - 0). Solve 0 = k - n - a for k. 5 Let y(n) = 19*n - 387. Let u be y(21). Solve -24*x + u = -18*x for x. 2 Suppose -a - 3*a - 5*t + 25 = 0, -3*a - 5*t = -20. Suppose 5*x = 2*b + b, -a*x - b = -20. Solve 2*r + x*r = 20 for r. 4 Let o = -272 - -276. Solve 0 = -o*m + 3 + 1 for m. 1 Suppose -454*z = -445*z - 63. Solve -13*o - z = -6*o for o. -1 Suppose 3*g + 57 = 159. Suppose 0 = 6*v + 10 - g. Solve v*t - 12 = -0*t for t. 3 Let r(l) = -l**2 + 10*l - 13. Let s be r(8). Let j(z) = -z**2 + 8*z + 13. Let h be j(9). Suppose a + 37 = 2*o - 0*a, 5*a + 65 = h*o. Solve s*t = -t + o for t. 5 Suppose -5 - 5 = -2*h. Let j = 5 - h. Suppose 0 = 12*c - 11*c + n - 4, 3*n + 16 = c. Solve -4*r - c + 27 = j for r. 5 Suppose -179 = -5*l + 5*i - 4, 0 = -3*l - i + 109. Solve 0 = -9*z - 0 - l for z. -4 Let y(s) = -4*s + 9. Let q(t) = -2*t + 5. Let u(o) = -5*q(o) + 2*y(o). Let r be u(5). Suppose -r = n - 5. Solve -4*v - 2 - n = 0 for v. -1 Let a(c) = -c**3 + 5*c**2 - 6*c + 3. Let m be a(2). Suppose -3*t + o - 6 = -3*o, -5*t + o = 27. Let z be ((-12)/(-2))/(t/(-6)). Solve 3*n - m - z = 0 for n. 3 Let m(g) = -6*g + 66. Let k be m(5). Solve k - 4 = 16*w for w. 2 Let u = -2183 + 2183. Solve 28*t - 32*t - 20 = u for t. -5 Let o(v) = 3*v - 2. Let l be o(2). Suppose 3*n - 1 - 5 = 0. Let a = l - n. Solve -f = f - a for f. 1 Let f be (7 + -6)*(2 - 1). Let g be 10/f*(-3)/(-15). Suppose 2*a + g = -2*i + 4*a, 10 = 2*i + 2*a. Solve -4 = -i*b - 0*b for b. 2 Suppose -a - k = -26, -3*a + 57 = -2*k - 36. Let v = a + -26. Solve v*z + 3 + 9 = 0 for z. -4 Let w be (-26)/39*30/(-4). Let n(x) = x**2 - 5*x + 3. Let c be n(w). Solve 2*l + 20 = -c*l for l. -4 Let v be 570/210 + (-2)/(-7). Solve -v*z = z - 20 for z. 5 Let g be (-9)/(-3)*(-2)/3. Let u = 3 - g. Solve -4*w = -9*w - u for w. -1 Let f be (6/2 - 2) + 14 + -9. Solve p = -f + 11 for p. 5 Let k(t) = -2*t**2 + 10*t - 6. Let i = -52 - -56. Let n be k(i). Let l = -4 - -10. Solve 0*w + l = n*w for w. 3 Let c be (-16)/6*(-27)/36. Solve 5*s + 12 = c for s. -2 Suppose 0 = u + 6 - 19. Let t = u - -7. Let c(i) = i**2 + 4*i + 3. Let x be c(-4). Solve -2*s = x*s - t for s. 4 Let w(l) = l - 1. Let b be 10/45 - 7/(-9). Let x be w(b). Let h = 0 - x. Solve h = -0*f + f for f. 0 Let u = -22 + 9. Let v = -10 - u. Solve -v*n - 6 = -n for n. -3 Let j = -144 + 149. Suppose -15 = 3*n - 6*n, j*n = -4*u + 65. Solve -2*s + 0*s - u = 0 for s. -5 Suppose 184*m - 2 = 183*m. Solve m*o + 12 = -o for o. -4 Let l be 123/3 - (-28)/7. Let u be l/30*20/2. Solve u = -6*q + q fo
{ "pile_set_name": "DM Mathematics" }
hich is the third biggest value? (a) 4 (b) 140 (c) -4/3 c Which is the smallest value? (a) 1 (b) -8 (c) 34 (d) 2 b What is the smallest value in -26, 0, -2/9? -26 What is the fourth smallest value in -3, -0.4, -0.007, 5, -4? -0.007 Which is the fourth smallest value? (a) -190 (b) 6 (c) 0 (d) -0.3 b Which is the biggest value? (a) -57 (b) -2 (c) 0.5 c What is the smallest value in -2, -0.04, 0.5, 2/5? -2 What is the second biggest value in -3, 0.2, 10/11? 0.2 What is the biggest value in -2/23, 0.2, -2? 0.2 What is the biggest value in 0, -2/9, 0.4, 3/13? 0.4 What is the biggest value in 2, -2, -1/3, 4/9? 2 What is the smallest value in 47, -3, 3, 0.5? -3 What is the third smallest value in -2, 23, 3/8? 23 What is the smallest value in 1/4, -5, 22, 4? -5 Which is the third smallest value? (a) -39/7 (b) -1 (c) 1 c What is the second smallest value in -11, 5, -5? -5 What is the biggest value in -2.2, -0.1, -1, 4? 4 Which is the second biggest value? (a) -2 (b) -0.2 (c) 3 (d) -44 b What is the smallest value in 3/4, -2/7, 4.1? -2/7 What is the second biggest value in -32, 0, 4, 2? 2 What is the third biggest value in -6/11, -2/17, -5, -2? -2 What is the fourth smallest value in -2/7, -4, 8, 1? 8 Which is the third smallest value? (a) -2/9 (b) -36 (c) 0 c What is the smallest value in 5/3, -5, -1, -1/5? -5 Which is the biggest value? (a) 0.4 (b) 5 (c) 1/4 (d) 4/7 b Which is the third biggest value? (a) 0.13 (b) -2/3 (c) 4 (d) -5 (e) -2 b What is the fourth smallest value in -1/3, 2/7, 4, 1/5? 4 What is the second smallest value in -1/9, 1/2, -3/7, 9? -1/9 Which is the second biggest value? (a) 4/3 (b) 1/2 (c) -36 (d) -3 (e) 0.2 b What is the third biggest value in 1, 1/4, -311, 4/5, -0.2? 1/4 Which is the smallest value? (a) 1/22 (b) 2/7 (c) 3/2 (d) 2/5 a What is the fifth smallest value in 1, 5, -3, -42, -4? 5 What is the third smallest value in 1, 3, -0.1? 3 What is the second biggest value in 3, 13/25, -3? 13/25 Which is the second biggest value? (a) -2/9 (b) -0.2 (c) 14 (d) -8 b Which is the fourth smallest value? (a) -1 (b) 2/3 (c) 2 (d) -0.2 (e) 0.09 b What is the biggest value in -0.39, 1, -1/2? 1 Which is the second biggest value? (a) 12 (b) -10/9 (c) 0 (d) 2/7 d Which is the biggest value? (a) 2/13 (b) -2 (c) 4 (d) 1 (e) 0.8 c Which is the third biggest value? (a) 0 (b) -0.491 (c) 3/7 (d) 0.1 a Which is the fifth biggest value? (a) -15 (b) 1/3 (c) -2 (d) -4 (e) -5 a What is the biggest value in -3, -71, 2, -0.3? 2 What is the third biggest value in 0.38, 0.3, -0.4? -0.4 What is the second smallest value in -3, 12/1615, 0.5? 12/1615 Which is the second smallest value? (a) 0.5 (b) 5/6 (c) 9 (d) 4/3 b What is the fourth smallest value in 1, 2/7, 4/19, -4? 1 Which is the smallest value? (a) -1.3 (b) 0.2 (c) -3 (d) -0.5 c Which is the third biggest value? (a) 5 (b) 3/8 (c) -1/3 (d) -2/3 c Which is the fifth biggest value? (a) 0.2 (b) -0.2 (c) 2 (d) -3 (e) 3/65 d Which is the biggest value? (a) 0.227 (b) 1 (c) 0.3 b What is the third smallest value in 0.1, -0.4, 5, -1/7? 0.1 Which is the biggest value? (a) 17 (b) 2 (c) -0.06 a What is the third biggest value in -422, 1/5, -0.4? -422 What is the smallest value in -24, 0, 0.5, 4? -24 What is the fourth biggest value in 6, -24, -4, -1? -24 What is the fourth biggest value in -5, 1/2, -4/7, -15, -3? -5 Which is the biggest value? (a) -26 (b) -1/5 (c) 0.2 c Which is the fourth smallest value? (a) -1 (b) 5 (c) -2/5 (d) -1/3 b Which is the second smallest value? (a) 0 (b) -2 (c) 31 (d) 0.4 (e) -3 b What is the third biggest value in -6, -0.2, 0, 1/4? -0.2 Which is the fourth biggest value? (a) -94.3 (b) 1 (c) -2 (d) -0.1 a Which is the second biggest value? (a) 8 (b) -1/5 (c) -4 b Which is the third smallest value? (a) -0.28 (b) -5 (c) 4 c What is the biggest value in -3/5, 2/7, 0.1, -0.3, 49? 49 What is the fourth smallest value in -1.3, 3, -8, 0.1? 3 What is the third smallest value in 1, -4, 4/247? 1 What is the second smallest value in -2/19, -18, 0.3? -2/19 Which is the smallest value? (a) 0.4 (b) -4 (c) 0 (d) -4/9 (e) -2 b What is the fourth biggest value in -0.3, 0, 18.9, -0.1, 1? -0.1 Which is the smallest value? (a) -4 (b) -0.927 (c) -1/5 a Which is the second smallest value? (a) -5 (b) 15 (c) 1/7 (d) 1 c What is the fourth smallest value in 7.8, -0.5, -4, -0.1, 1.3? 1.3 Which is the second biggest value? (a) -2/227 (b) -0.4 (c) -5 (d) 0.1 a What is the smallest value in -3, -0.097, 0.1? -3 What is the third smallest value in 0.084, -20, 2, -5? 0.084 Which is the biggest value? (a) 0.5 (b) 5 (c) 158/5 c What is the third smallest value in 0.5, -3/5, -1/4, 2/13, 4? 2/13 What is the fourth smallest value in -5, -0.31, 1/2, 2? 2 Which is the fourth biggest value? (a) 7 (b) -2 (c) -3 (d) 0.1 (e) -2/11 b What is the second biggest value in 4/7, -1/1055, 0? 0 What is the fifth smallest value in -0.1, -2/13, -65, -1, 9? 9 Which is the fourth smallest value? (a) 0 (b) 4/5 (c) -5 (d) 2/93 b Which is the biggest value? (a) -3 (b) -0.2 (c) 14/29 c Which is the fourth biggest value? (a) -5 (b) 0.29 (c) 0.3 (d) 3 a What is the second smallest value in -69, 5, 2/7? 2/7 What is the third smallest value in -0.2, -3, 1.6, 23, 3? 1.6 Which is the fourth smallest value? (a) -0.01 (b) -3 (c) -1 (d) 0.4 d Which is the second biggest value? (a) 0.4 (b) 1/24 (c) 4 (d) 0.3 (e) -1 a Which is the fourth biggest value? (a) 0.04 (b) -24/25 (c) -2/5 (d) -3 d What is the third smallest value in -5, 23.5, -4/5, -0.2, -2/21? -0.2 Which is the third smallest value? (a) 157 (b) 16 (c) -2/3 a Which is the second smallest value? (a) -4 (b) 58 (c) 2 (d) -1/4 (e) 0.3 d What is the second biggest value in 8, 22, -5? 8 Which is the smallest value? (a) -2.7 (b) 6 (c) 4 a What is the third biggest value in 0.4, 3, -222/79? -222/79 What is the second smallest value in -2538, 4, -5? -5 Which is the smallest value? (a) -9 (b) 1 (c) 0.2 a What is the smallest value in 1/1691, 0, 4/3? 0 What is the smallest value in 22.7, 4, 1/10? 1/10 What is the fourth biggest value in -1, 1/8, -0.5, -3/2, 0.5? -1 What is the smallest value in -2, 449, -0.3? -2 Which is the third smallest value? (a) -1/2 (b) 0.3 (c) -4 (d) 0.084 d Which is the fourth smallest value? (a) 2 (b) 1 (c) 3 (d) -0.3 (e) 4 c What is the second smallest value in 2, -12/17, 0? 0 Which is the second biggest value? (a) 0.2 (b) -0.5 (c) 25 a Which is the second biggest value? (a) -1.38 (b) 4 (c) 3 (d) 3/2 (e) 5 b Which is the biggest value? (a) -1/9 (b) -282/5 (c) 4 c What is the second biggest value in 5, -142, 1/2? 1/2 Which is the second smallest value? (a) -18 (b) -5 (c) -0.3 b What is the third smallest value in 1/5, -42, -4, -0.5? -0.5 What is the smallest value in 1, -602, 27? -602 Which is the second biggest value? (a) -2/19 (b) -0.594 (c) -3/4 b What is the second biggest value in -0.3, 2/13, 0.5, -2? 2/13 What is the second smallest value in -1/3, 5/29, -4/9? -1/3 Which is the biggest value? (a) 3 (b) 45 (c) 3/4 (d) 35 b Which is the fifth smallest value? (a) 1 (b) -4 (c) -4/5 (d) -3/109 (e) 0 a What is the smallest value in 3, 0.4, -3, -1/3, 2/15? -3 Which is the second biggest value? (a) 0.1 (b) -477 (c) -3/5 c Which is the smallest value? (a) 4/3 (b) -1 (c) -1/5 (d) -12 d What is the third smallest value in -1/11, 0, -0.19? 0 What is the second biggest value in 9/47, -2, -0.3, -3/4? -0.3 What is the fourth biggest value in 108, 0.4, 0.8, 1? 0.4 What is the second biggest value in 1.3, -1, 1, -1/3? 1 What is the fourth biggest value in -2/13, 17, -5, -0.4? -5 What is the second smallest value in 0.2, -2.3, -15? -2.3 Which is the fourth biggest value? (a) -2 (b) -1 (c) 11 (d) 2 a What is the biggest value in 1.65, 3, -0.4, 4? 4 Which is the third biggest value? (a) 0 (b) -6 (c) 45 b What is the fourth biggest value in 1/3, 2/5, 5/7, -1? -1 Which is the biggest value? (a) -49/2 (b) 0.12 (c) 6 (d) -2 (e) 0 c What is the fifth biggest value in 0.6, 0.2, -0.3, -5, 0.8? -5 What is the fourth biggest value in 60, -5, -2, 0.5? -5 Which is the third
{ "pile_set_name": "DM Mathematics" }
4*c - 2*c) + 6*c**3 + 7*c - 7*c + (2*c**2 - 2*c**2 + 2*c**2)*(2*c - 1 + 1). -20*c**3 Expand (-n - 5 + 5 + (-3*n - n + 5*n)*(0 - 1 + 3) + 5*n - n - 2*n + 2 + 2*n - 2 + 2*n + 4*n - n)*(47 - 7*n - 47 + (2*n + 3*n - 7*n)*(0 + 3 - 2)). -90*n**2 Expand (-16*g + 12*g**4 + 16*g)*(-13 + 26*g + 13) + 3*g - g**5 - 3*g + 2*g**5 + 2*g**3 - 2*g**3. 313*g**5 Expand (0*x - 2*x + 4*x)*(0 - 4 + 2)*(-545*x - 596*x - 165*x). 5224*x**2 Expand -2*p**3 - 2*p**2 + 2*p**2 + 5*p**3 - 2*p**3 - 4*p**3 + (2 - 1 + 3)*(2*p**3 + 0 + 0) - 4*p - 2*p**3 + 4*p + (-2*p**2 - 2 + 2)*(-5*p + 0*p - 2*p). 17*p**3 Expand (-2*n**2 - n + n)*(6278 - 6278 + 1628*n) + 2*n**3 + 0*n**2 + 0*n**2. -3254*n**3 Expand (0*n**4 - 1 + 3 - 2*n**4)*(21*n - 20*n + 1405*n + 746*n). -4304*n**5 + 4304*n Expand (2*s - 1 + 1)*(-2*s**2 + 2*s**2 - s**4) - 4*s**5 + 3*s**5 + 0*s**5 + (126*s**3 - 197*s**3 - 188*s**3)*(7*s**2 + 2*s**2 - s**2). -2075*s**5 Expand (-v**2 - 3*v**2 + v**2)*(6 - 6 + 4*v**2)*(216 - 193 + 232). -3060*v**4 Expand (f**2 - 1 + 1)*(0*f - 4*f + 2*f) + 349902*f + 13*f**3 - 349902*f + 9. 11*f**3 + 9 Expand -196*d + 25*d**2 + 196*d + (-2*d + 3*d - 3*d)*(-5*d + d + 0*d) - d - 3*d**2 + d. 30*d**2 Expand (-4*s**2 + 5*s**2 + 0*s**2)*(-546 - 45 + 1368)*(0 - 2*s + 0) + s**2 - s**2 - s**3 + (6*s**2 - 3*s**2 - 2*s**2)*(0*s + 0*s - s). -1556*s**3 Expand (-2*z + 436 - 438 + 0*z - 15*z**4)*(65*z - 33*z - 31*z). -15*z**5 - 2*z**2 - 2*z Expand -5*h**3 - 6*h**3 + 3*h**3 + (-1 + 1 + h**2)*(-134*h + 100*h - 187*h). -229*h**3 Expand (-2*t - 7*t + 16*t)*(3*t**3 + 4*t**2 - 4*t**2) + 114*t**4 - 318*t**3 + 318*t**3. 135*t**4 Expand (d - 2*d + 3*d)*(-27 - 56 + 6) + (2*d - 5*d + 4*d)*(-3 + 3 - 1) + 6*d + 4*d - d. -146*d Expand (-22*v + 2*v - 5*v + (-3 + 3 + 2*v)*(4 - 3 - 3) - 5*v + 4*v - v - v - v + v)*(0 - v + 4 + 3*v). -64*v**2 - 128*v Expand ((-4 - 5 + 2)*(0 + 0 + 3) + 4 - 3 + 5)*(2*m - m - 3*m). 30*m Expand (10*q - 4*q - 135 + 104)*(-4*q**4 + 4*q**4 + q**4) - 4*q**5 + 2*q**5 + 0*q**5 + q. 4*q**5 - 31*q**4 + q Expand (-1 + c + 1)*(2 + 1 - 1)*(0 + 2 - 4 + (334 - 115 + 161)*(0 - 1 - 1)). -1524*c Expand (-4 - 1 - 3)*(-449*m - 30675 + 30675) - 3*m + 7*m - 3*m. 3593*m Expand (1 - 2 + 2)*(2 + r - 2)*(3*r - 3*r - r + (2 + 2*r - 2)*(-4 + 1 + 1) + 2*r - r + 0*r + 5144*r - 1490*r + 9176*r). 12826*r**2 Expand ((-5 + 2 + 1)*(7 - 7 + 3*u**2) - 34267 + 79*u**2 + 34265 + 30*u**2 + (-4*u + 0*u + 6*u)*(u + 0*u + u) - 1 - 2*u**2 + 1)*(3 - 3 + 2*u). 210*u**3 - 4*u Expand (-5 + 1 + 2)*(-65154*x + 65154*x + 3741*x**4 - 11979*x**4). 16476*x**4 Expand -4*w - 4*w + 3*w + (0 + 21 - 3)*(49577 - 49577 - 82*w). -1481*w Expand (-2018 - 2913*i - 2908*i + 8733*i - 2906*i)*(-1 + 5 - 2)*(-2*i**3 + 3*i**3 + 3*i**3). 48*i**4 - 16144*i**3 Expand (1 - 3 + 6)*(-3 + 3 - s)*((-2 + 1 + 2)*(5*s - 6*s + 5*s) + 19*s - 9*s + 9*s). -92*s**2 Expand (-t**2 + 2*t - 2*t)*(3*t - 2*t + 6 + t) + (-10 - t**2 + 10)*(-3*t - 7*t + 6*t) - t**3 - 4*t**3 + 4*t**3. t**3 - 6*t**2 Expand (w - 3*w**3 - w)*(-2 + 0 + 1) - 15237*w**3 + 15246*w**3 - 4 + 68*w**2 + 6. 12*w**3 + 68*w**2 + 2 Expand (-3*x**2 + 6*x**4 - 3*x**4 - 2*x**4)*(-33 - 32 - 102 + 2 + 3 - 3 + (-2 + 3 - 3)*(3 - 3 + 1) + 3 - 5 + 4). -165*x**4 + 495*x**2 Expand -115*a + 58*a**3 + 115*a + (-4 + 2 + 4)*(a**3 + 3*a**3 - 3*a**3) + (-7*a + 2*a + 2*a)*(3*a**2 + a**2 - 3*a**2). 57*a**3 Expand (1 - 1 - 2*d)*(-20 + 13 + 6)*(164 - 171 - 170)*(-d + 0*d + 0*d + 1). 354*d**2 - 354*d Expand 0*y**5 - 3*y**5 + 4*y**5 + (7*y**2 - 7*y**2 - 10*y**2)*(-4*y**2 - 18*y**2 + 32*y**2)*(-2 + 2*y + 2). -199*y**5 Expand (-3*m**3 - 4*m**3 - 5*m**3)*(m**2 - 2*m**2 + 2*m**2) - 4*m**5 - m**4 + m**4 - 2*m**5 + 0*m**5 + 4*m**5. -14*m**5 Expand (10826858*c**2 + 5*c - 10826399*c**2 + 7*c)*(-3*c**3 + 4*c**3 + c**3). 918*c**5 + 24*c**4 Expand (s**2 - 3*s**3 - 120*s - 232*s + 467*s)*(-2*s**2 + s**2 + 0*s**2). 3*s**5 - s**4 - 115*s**3 Expand 2*i**5 + i**5 - 5*i**5 + (1 - 1 + i)*(-2*i**4 + 0 + 0) + (-10*i**2 + 7*i**2 + 10*i**2)*(-6*i**3 + 0*i**3 - 2*i**3). -60*i**5 Expand (-4*k + 3*k + 2*k)*(139*k + 128*k - 773*k) + k**2 + 10*k - 10*k. -505*k**2 Expand 3899*o**4 - 7281*o**4 - 2144*o**4 + 0*o**4 - 2*o**4 + 0*o**4 + (2*o**2 + 0*o**2 + 0*o**2)*(0*o**2 - 4*o**2 + 3*o**2) + 0*o + 2*o**4 - 2*o + 0*o. -5528*o**4 - 2*o Expand 22*g**3 + 327*g**2 - 327*g**2 + (7 - 1 - 3)*(-10 + 4*g**3 + 10) + 0*g**3 - 4*g**3 + 5*g**3. 35*g**3 Expand (0 + 0 + o**2 + (2 - o - 2)*(o + 0*o + o) - 2*o**2 + 3*o**2 + o**2 - 3*o**2 + 2*o - 2*o)*(52*o + 52551*o**2 + 4*o**3 - 52551*o**2). -8*o**5 - 104*o**3 Expand (a**4 - 49*a**4 - 33*a**4)*(-103 + 177 - 253). 14499*a**4 Expand (0 + 2 + 0 + (-3 + 0 + 4)*(3 - 4 + 3) + 0 + 4 - 6)*(3*o**2 - 4*o**2 - 2*o**2) - 123*o**2 - 22 + 171*o**2 - 60*o**2. -18*o**2 - 22 Expand (5*y - 3*y + 0*y)*(-3788 - 3026 - 4209). -22046*y Expand (6*d - 2*d - 2*d)*(0*d - 2*d - 5*d)*(976*d - 44*d**3 - 976*d - 2). 616*d**5 + 28*d**2 Expand 8*i**3 + 4*i**2 - 4*i**2 + (12*i**3 - 5*i**3 + 90*i**3)*(0 - 1 - 4). -477*i**3 Expand -1 - 2*r**3 + 1 + (-2*r**2 - r**2 + 0*r**2)*(-r - 2*r + 4*r) + 3 - 33*r**3 + 256*r**3 - 204*r**3. 14*r**3 + 3 Expand -j + j - j**2 + 1 - 1 + 3*j**2 + (1266 - 101 - 121)*(2*j - 2*j**2 - 2*j). -2086*j**2 Expand (n**2 + 6*n**4 - 5*n**2 + 2*n**2)*(-22 - 28*n + 22). -168*n**5 + 56*n**3 Expand (-586*d - 413*d - 973*d - 863*d - 68*d + 88*d)*(8*d**4 - 32*d**4 + 14*d**4). 28150*d**5 Expand (-609 - 8648 - 11622)*(-s + 2*s + s**3 - 2*s). -20879*s**3 + 20879*s Expand (-2 + 4 - 1 + (-32 + 7 - 11)*(-3 + 1 + 6))*(-2*w - w - w) - 2*w + 3*w - 7*w + (2*w - 4 + 4)*(2 - 1 - 2). 564*w Expand (-3*y + 491 - 9504 - 6228 + 1732)*(y - 2*y + 3*y). -6*y**2 - 27018*y Expand -126*j**4 + 5664*j**2 - 5664*j**2 + (0 - 2*j**2 + 0)*(-10*j**2 - 9*j**2 + 5*j**2) + 3*j**4 - j**4 - 3*j**4. -99*j**4 Expand (1503 + 165*w - 1479 - 48*w + (0*w + w + w)*(-2 - 3 + 4))*(0 + 3 - 2). 115*w + 24 Expand (-7*a + 14*a + a + 20*a)*(-a**3 + 55*a**3 + 29*a**3). 2324*a**4 Expand ((-3 - 10 + 2)*(-6*m + 3*m + m) + 2*m + 12*m - 5*m - 4 + 2 - 4*m + 3*m)*(-2*m + 4 + 1 + 1). -60*m**2 + 184*m - 12 Expand (11*w - 11 + 11)*(20*w + 266*w - 63*w) - 5*w**2 + w**2 + 2*w**2 + 4*w**2 - 2*w**2 - 3*w**2 + (6*w - 5*w + 0*w)*(-2*w + 0 + 0). 2448*w**2 Expand 9*z + 10*z - 356*z**4 + 370*z**4 + (-2*z**3 + z**3 - z**3)*(3*z + 2*z - 2*z). 8*z**4 + 19*z Expand 2*f**2 + 2*f - 2*f + (f - 6*f + 4*f)*(-2267*f - 1213*f + 4516*f) + (-4*f + f + 2*f)*(-f + f + 2*f). -1036*f**2 Expand (-1 + 4*j - 8 + 7)*(-10 - 21 + 6). -100*j + 50 Expand (-77*q**3 - 113*q**3 + 303*q**3)*(-q**2 + 7 - 9 + 3*q**2). 226*q**5 - 226*q**3 Expand (-90*v**2 + 106*v**4 - v**3 + 90*v**2)*(3227 - 137*v - 3227). -14522*v**5 + 137*v**4 Expand (2 + 3 - 6)*(-27 + 39*t + 27) + (-3*t + 6*t + 0*t)*(2 - 4 - 2) + 0*t - 4*t + 2*t - 4*t + 1 - 1. -57*t Expand 3*r**3 + 2*r**3 - 3*r**3 + (2 - 4 + 4)*(16783*r**3 + 10*r**2 - 4*r**2 - 2*r - 16839*r**3). -110*r**3 + 12*r**2 - 4*r Expand 4*s - 2*s - 5*s + 4*s + 2*s - 3*s + (s + 0*s - 2*s)*(4 - 2 - 3) + 30*s - 26*s - 16*s. -11*s Expand (u - 2*u + 0*u)*(2*u**2 + u**2 - 4*u**2) - 20993*u**2 + 41979*u**2 - 20986*u**2 - 15676*u**3. -15675*u**3 Expand (138 + 106 - 218)*(d + 2*d - 5*d) + 1 - 1 - 2*d. -54*d Expand 0 + 0 + 2*v**5 + (-127*v + 28*v**2 + 127*v)*(-26*v**3 + 66*v**3 + 44*v**3). 2354*v**5 Expand (10*u + 0*u - 5*u)*(185 - u + 96 - 145). -5*u**2 + 680*u Expand (2036*w + 3252*w - 7371*w - 7091*w - 5443*w)*(5*w - 5*w - 2*w). 29234*w**2 Expand ((0 - 2 - 2)*(-2*g + g + 2*g) + 78 - 144 + 66 - 1709*g)*(3 - 2 + 1). -3426*g Expand ((a + 2*a - 5*a - 2 - 3*a + 2 - 5*a + a + 2*a + (-2 + 2 - 2)*(-5*a + 3*a + 4*a))*(-10*a - 14*a - 10*a) - 3*a**2 - 2*a + 2*a)*(-5 + 2 + 5). 742*a**2 Expand (3250*z**2 - 3248811*z + 3248811*z)*(-3 + 3 + 2) - 1 + 1 - 2*z**2. 6498*z**2 Expand -43*x + 43*x - 37*x**2 + (-3*x + 6*x - 2*x)*(4*x + 3*x - 5*x) - 6*x**2 + 2*x**2 + 0*x**2. -39*x**2 Expand (126 - 126 + 13*x**3)*(0 - 2 - 4 - 4 + 3 - 4 - 1 + 0 + 3 + 4 - 3 - 2 + (3 - 4 - 1)*(1 - 1 + 2) + 0 - 2 + 1 - 2 + 7 - 3 - 3 + 3 - 1). -182*x**3 Expand (5*h + h - 2*h**2 - 4*h)*(-244*h - 1078*h - 618*h) + (1 - 2*h - 1)*(5 - 5 + 2*h**2) + h**3 + 3*h**3 - 5*h**3 + h**3 + 0*h + 0*h + 2*h**3 - h**3 + 0*h**3. 3877*h**3 - 3880*h**2 Expand -5*p**5 - p**5 + 5*p**5 + (0*p + 4*p - 6*p)*(-7*p**4 + 3*p**4 - 4*p**4) + (0*p**2 - 3*p**2 + 6*p**2)*(0*p**3 - 2*p**3 + p**3). 12*p**5 Expand (-3*c +
{ "pile_set_name": "DM Mathematics" }
a**(-165/8) Simplify ((p/(p/((p/(p*p*p**(2/5)))/p)))**(-7/9))**(-3/25)/((p/p**(-1))**(2/13))**(-31) assuming p is positive. p**(15136/1625) Simplify ((f*f**(2/3))**(-2/17)/(f**(-2/27)*f*f**7))/((f**0)**(-5/2)*(f**(-1))**(-43)) assuming f is positive. f**(-23465/459) Simplify ((d*(d*d**(5/7))/d*d)**(-22/3)/((d/d**(1/15)*d)/d)**(-10/11))**(-38) assuming d is positive. d**(167276/231) Simplify x**(-10/3)/((x*(x*x**(-40)/x*x*x)/x*x)/x)*(x**(-29/5)/x)**(28/9) assuming x is positive. x**(608/45) Simplify ((((w*w**0)/w)**(-6)*w**(-1/5)/w**(-2/3))**2)**(-18) assuming w is positive. w**(-84/5) Simplify (h*h**(-1)*h)/h**(-2)*h**2/(h**(-3/7)*h)*(h**1/(h/h**(-1)))/((h*h**0)/(h*(h/(h*h*h/h**(5/3)))/h)) assuming h is positive. h**(44/21) Simplify ((a**0)**(4/15)*(a*a**(-1))**(-9))/((a*a*a*a/((a*(a/(a*a**(-1)*a)*a*a)/a)/a*a))**(11/9))**9 assuming a is positive. a**(-22) Simplify (((p**10*p**(-1/9))/(p*p**5/p*p*p**8))**2)**(-1/87) assuming p is positive. p**(74/783) Simplify (((f*f**(2/9))/f*f**(-2))/(f**5/f)**(-2/47))**17 assuming f is positive. f**(-11560/423) Simplify (y**(-13)*y/(y**(-11)*y)*(((y*y**2)/y)/y)/y**(-2/7))**(-9/11) assuming y is positive. y**(45/77) Simplify ((l**(-2/29)*l*l**(-1/28)/l*l*l)/(((l*l*l**9*l*l)/l)/l)**(-38))**(-38) assuming l is positive. l**(-6478145/406) Simplify ((s*s**(-6/7)*s*s)**19)**(3/5)/(s**(-3/5)*s*s*s**(1/2)/s*(s*s**(-1)/s)**(-7/6)) assuming s is positive. s**(2348/105) Simplify (k*k**3*(k*(k*k**(1/4)*k)/k*k)/k)**(-1/32)/((k*k**(1/3))/k*k*k**(-8)*(k*k**1/k)**(-25)) assuming k is positive. k**(12085/384) Simplify ((n**(-4)/(n/(n**(1/3)/n)))/(n**1)**48)/(n**(-4)*n**(-1/7)*(n**(-1)/n)**18) assuming n is positive. n**(-284/21) Simplify (((r**(-5)/r)/r*r**(2/51)/r)/(r**(-1/8)*(r*(r/r**3)/r)/r))**(-2/45) assuming r is positive. r**(1973/9180) Simplify (a**(4/7)/(a/a**(2/7)*a))**(7/4)*a/(a*a*a**(1/8)/a*a*a)*a*a**9*a**(1/2)/a**(-9) assuming a is positive. a**(123/8) Simplify ((((x/(x**(-8/13)/x))/x*x)/x**(19/2))**(3/26))**(-29) assuming x is positive. x**(15573/676) Simplify ((d**4*d*d*d**(-5/2))/((d**(5/8)/d)/d*d)**(-42))**8 assuming d is positive. d**(-98) Simplify ((o**(-2/15)/(o*o**(3/10))*(o/o**(-7))/o**(2/15))**(3/13))**(-45) assuming o is positive. o**(-1737/26) Simplify c*c*c/(c/c**(-1/4))*c*c*(c/c**(-1))/c*(c*c/c**(-1/2)*c*c*c*c)**41*(c**1*c*c)**(-3/29)*c**(2/11)/(c/(c*c**(2/3)*c)*c) assuming c is positive. c**(1040405/3828) Simplify (((q**(-2)/q)/q)**(-3))**48/((q**(-1))**23/(q*q/(q**(-8)/q)*q*((q*q**(-7))/q*q*q)/q)) assuming q is positive. q**605 Simplify (((g**(1/6)/g*g*g*g/(g*g**(-3/4)))/(g*g**(1/3)*g**(-7)))**(2/7))**(-13) assuming g is positive. g**(-169/6) Simplify (((m/m**(-5)*m)/(m*(m*m/m**(-6))/m))/(m**(-2)/m**(2/7)))/(((m/(m*m**0*m))/(m/(m/(m**(1/5)/m))))/(m/m**6*m*m**0/m)) assuming m is positive. m**(-123/35) Simplify (((r/r**2*r*r)/r*r)/(r/r**(-4/5)))/(r**(1/4)/(r*r*r**(-2/5)/r))*(r/r**(3/11)*r**0)**(-22) assuming r is positive. r**(-329/20) Simplify (a**2*(a**(1/5)*a)/a*a**(-1/6)/(a**(-4)*a))/((a/a**(1/2))**(-10/7))**(-9/5) assuming a is positive. a**(787/210) Simplify ((g*g**(2/7))**(-14/9)*g**(-6/5)*((g/(g/(g/(g*(g/g**(2/7)*g)/g))))/g)/g)/(g**(4/3)*g/(g/(g**(-1/2)*g)))**36 assuming g is positive. g**(-2517/35) Simplify (w*w**(-3)*w**(2/13)*(w**(1/4)/w)/(w*w/(w*(w**(-1/3)*w)/w)))/((w/w**(-5/2))/(w**(-2/5)/w)*w/(w**4*w*w)*w**(-1/3)) assuming w is positive. w**(-909/260) Simplify ((b**(1/28))**(6/23)*(b**(6/13))**(-34))**31 assuming b is positive. b**(-2035119/4186) Simplify (p**(-6/7)*p**9/p*p**(-7)/p*p*(((p**(-5)/p)/p*p*p)/p)/p)/((p**(7/6)*p**(-2/25))/(((p**3*p)/p)/p**(2/23))) assuming p is positive. p**(-121493/24150) Simplify ((r**(-1/3))**32*(r/r**1)**(1/5))/(r**6/(r*r**1)*r**4*r**0) assuming r is positive. r**(-56/3) Simplify (((w*w*(w/(w*w**(-4)))/w*w*w)/w)**(-2/75)/(w*w**(-17)/w*w/((w*w/w**6)/w)*w*w))**(-4/3) assuming w is positive. w**(-884/75) Simplify (((o/(o/o**(2/3)))**(9/2)/((o/o**(-2/3))/((o/(o*(o*o/((o/o**(1/6)*o)/o)*o)/o)*o)/o)))**(4/7))**(5/2) assuming o is positive. o**(5/21) Simplify ((s**(-4/5)*s**2/s)/(s*s**(-1))**(-1/2))/((s**(-1))**4/((s/(s**(-5)/s))/(s/(s*s/s**(-5))))) assuming s is positive. s**(86/5) Simplify ((m/m**11)**29*(((m/(m/(m/(m/(m/(m**(-7/3)*m)))*m)))/m*m)/m)**0)**(-2/11) assuming m is positive. m**(580/11) Simplify (((t**(-20/9)/t)/t**(-2))/(t**(-4))**18)**(-1/3) assuming t is positive. t**(-637/27) Simplify (j*j**(-2/3))**(-42/13)/(j/j**(2/9))**(-31)*j/((j*j**1)/j)*j*j/(j/(j/(j/(((j*j/(j*j**(-4/7))*j)/j)/j))))*(j**(1/4)*j)**(-24) assuming j is positive. j**(-4418/819) Simplify (((f/f**(-3))/(f*f/(f*f**0)*f))/(f**3)**(-28))**(-43/5) assuming f is positive. f**(-3698/5) Simplify (u/u**(-2/19)*u**(-2/17)*u)**(-44)*(u**(-5)/(u**(-2/19)/u*u))**(3/4) assuming u is positive. u**(-117735/1292) Simplify ((c**(-8/3)/(c*c**(-3/17)))/(c**19*c*(c/c**(-1/18))/c*c*c*c*c))**(-15/4) assuming c is positive. c**(42145/408) Simplify ((y**8)**(6/17)*y**(-5/9)*(y/(y**(-15)/y))/y*y)**2 assuming y is positive. y**(5896/153) Simplify b/((b/(b**(-18/11)*b))/b)*b**(17/2)*(b*b*b*b*b**(-40)*b)/b*b*b/b**(-1/48)*b*b assuming b is positive. b**(-12205/528) Simplify (((g*g*g*g**(-4/5))/(g*g**(1/28)))/(g/(g/((g**(3/8)*g)/g)*g*g))**(-29))**9 assuming g is positive. g**(-115821/280) Simplify (((l*l/l**(-15)*l**16*l)**(-2/83))**(-44))**49 assuming l is positive. l**(146608/83) Simplify (((h*h*h*((h**(-1/5)*h)/h)/h)/h)/h**(-2/11)*h**(1/2)*h/((h*(h**4/h)/h)/h*h))/(h**7/(h/h**3)*(h/(h*h/h**2*h*h))/(h*h**(-1))) assuming h is positive. h**(-937/110) Simplify ((f/(f/(f/(f**(-2/27)/f)))*f**(1/3))/(f**(2/3)/f**(-16)))**(-7/13) assuming f is positive. f**(2695/351) Simplify (((w**(2/11)/w**2)**(-4))**(-4))**41 assuming w is positive. w**(-13120/11) Simplify (n/(n**(-1/4)/n))/(n/n**(-1/13))*((n/n**(-1/2))/n)**(-16/11)*((((n/n**(-2/29)*n)/n*n)/n)/n*n*n**9)**(-35) assuming n is positive. n**(-5838445/16588) Simplify ((x/(x/x**(-13)))/x**(-2/31))/(x**(1/2)/x)**(2/33) assuming x is positive. x**(-13202/1023) Simplify (((t*(t*t**(2/5))/t)**(-1)*(t**(-1)/t*t)/(t*t**(-2/3)/t))**12)**26 assuming t is positive. t**(-2704/5) Simplify ((i*i*i**(-1/3)*i)**(4/19)/(i/((i/(i**1/i))/i*i))**(2/31))/(i**(2/7)*i*i*i**6*(i**(-2/5)/i)/(i*(i/i**5)/i)) assuming i is positive. i**(-20597/1995) Simplify l**9*l/(l*l**(-6))*l**(2/9)*l**3*((l**(3/10)*l)/((l**(1/5)*l*l)/l))/(l**(-1)/l*l*l)**13 assuming l is positive. l**(1649/90) Simplify (i**5*i**(-5)*i)**(-5/4)*((i*i/((i**(-7)/i)/i))/i**(5/6))/((((i**(-3/2)/i)/i)/i)/(i/i**(1/10)*i)) assuming i is positive. i**(919/60) Simplify ((y**41*y**(-11/6))**36)**(-16) assuming y is positive. y**(-22560) Simplify (((p/p**9*p)/p**(1/32))/(p**(-36))**(1/9))**(-15) assuming p is positive. p**(1455/32) Simplify (p**(-17)*p)**27*(p/(p/(p**20*p)))/p*p/(p*p**(23/5)*p) assuming p is positive. p**(-2088/5) Simplify ((w*(w**0*w)/w*w)**(-8/3))**(-2/19)/((w**9*w*w**(-1/8))/((w**(-7)*w)/(w*w*w**(-2)))) assuming w is positive. w**(-6983/456) Simplify (b**1)**(1/20)*(b**(2/3))**15*b**(-4/7)/((b**(-6)/b)/b)*b**(-1)/b**(-2/5) assuming b is positive. b**(2363/140) Simplify ((d**(-5)/d)/(d*d**0*d)*(d/(d**(-2/3)*d*d))**(-41))/(d/d**(-4)*d/(d/(d/(d/d**(-6))*d))*d*d**(-5)*d*d/(d*d**(3/4))) assuming d is positive. d**(113/12) Simplify (b*b*b**(1/6)*(b*b**(-6/5))/b*(b**1)**44)/((b**(2/7)*b)**22*(b**3*b)/(b/(b**(-2)/b))) assuming b is positive. b**(3503/210) Simplify ((z/((z/z**7)/z))/((z**(2/5)*z)/z))**(-36)/(((z/((z/z**2*z)/z))/z**(-7))/(z**(-2/17)/(z*z/(z*z**(-3)*z)))) assuming z is positive. z**(-24286/85) Simplify (((s*s*((s**(4/5)*s)/s*s)/s)/((s/s**13)/s))/((s*s**(-34))/((s**(-2/13)/s)/s)))**41 assuming s is positive. s**(124312/65) Simplify (h**(-1)*h)**(-2/55)*h**(-4/9)*h**3*h**(2/7)/h**(6/7)*(h/h**7)/(h**(2/11)/h) assuming h is positive. h**(-2216/693) Simplify ((s/s**(3/5))**(-2/31))**(-38)*((s*s*s/s**5*s)/s)/s**(2/13)*(s**(-2/13)/s)/(s/s**(-1/3)) assuming s is positive. s**(-22127/6045) Simplify ((((u**(-4/5)*u)/u**29)**(1/5))**(14/9))**18 assuming u is positive. u**(-4032/25) Simplify ((h*h**(-2/3))**(-4/9)/(h**0*h**0))/(h**4/h**(-2)*h/h**(-1/3)*((h**(-4/3)/h)/h)/h*h) assuming h is positive. h**(-112/27) Simplify (a**(-1/14)*a/(a*a**1/a*a)*a**(5/6)*a**33)**(4/5) assuming a is positive. a**(2752/105) Simplify
{ "pile_set_name": "DM Mathematics" }
o -1 in -7, 0.51, 11/6, 0.1, -1, 0.3464? -1 What is the nearest to -20 in -79.2, -3, -13, 1? -13 Which is the nearest to 0.1? (a) 0.4 (b) 2/3 (c) 6658042 a Which is the closest to 1.3? (a) 1/4107 (b) -1 (c) 246 a Which is the closest to -2? (a) -2 (b) 0.4798 (c) -59 a What is the closest to -0.11 in -0.4, 1336123, 0.5? -0.4 What is the nearest to -0.1 in -0.4, -12923, -1, 1/10, 14? 1/10 What is the closest to 12 in -5/3, 5, -0.268, 1/6, 0? 5 Which is the nearest to 0.03? (a) -18 (b) 3/16 (c) -1.8 (d) -4 b Which is the closest to 0? (a) 0 (b) 3 (c) -101 (d) -262 a Which is the closest to -0.2? (a) 22623 (b) 4/13 (c) 5 (d) -1 (e) 1 b Which is the closest to 3? (a) -2.8 (b) 5 (c) 2 (d) 20 (e) -2 c Which is the nearest to 23? (a) -0.6 (b) 2 (c) -196 (d) 3 d What is the nearest to 0.122 in 3, 0.02, -6.3, 8, 2? 0.02 What is the closest to 27 in 4, -0.26, 266, -0.3, 2? 4 What is the closest to 8259.1 in 0, 0.4, 15.5? 15.5 Which is the closest to -27/8? (a) -569 (b) -3 (c) -1/4 b Which is the nearest to 1/5? (a) -10/3 (b) 0.1581 (c) -2.8 (d) -1/3 b What is the closest to 13.2 in 0.1, 4/7, 1, 0.7? 1 What is the closest to -1.035 in 2/9, 3, -1/39, -4? -1/39 What is the nearest to 0.3 in 10, -8, -6197, 5? 5 What is the closest to 5 in -3, 1, -78.73? 1 What is the nearest to -7 in -3, 37, 3, -1/3, 1/3748? -3 What is the nearest to 1 in -12/11, -2/3, -5, -36? -2/3 Which is the nearest to 1? (a) 8/53 (b) -0.4 (c) -1/9 (d) 21 (e) -8 a What is the nearest to 0.19 in -1/497, 4, 2, 0.04, -4? 0.04 What is the nearest to -0.1 in 332.7, -5, -2/3, 5, 1/39, 2? 1/39 Which is the nearest to 1? (a) -2 (b) 0.2 (c) 15.75 (d) -4/43 b Which is the closest to -1? (a) -53 (b) -11 (c) -7 (d) -33 c Which is the nearest to -305? (a) 246 (b) 4 (c) 1 (d) 2 c Which is the closest to 1? (a) 0 (b) -2/3 (c) -5 (d) 135 (e) 3/10 e Which is the closest to -1.2? (a) 5 (b) 0.9 (c) -0.1 (d) -418/3 (e) -5 c Which is the nearest to -5/54? (a) 0.4 (b) -0.1 (c) 18 (d) -0.03 b Which is the nearest to -11? (a) 156 (b) 0 (c) -55 (d) 3 (e) -2 e Which is the closest to 70/3? (a) -1/3 (b) -1/11 (c) -43 (d) -1 (e) -1/5 b What is the closest to 1 in 806, -2/17, 64/91, -5/2? 64/91 What is the closest to -2 in 0.4, -1, -0.3, 26, -311/132? -311/132 Which is the closest to 164/7? (a) 1 (b) -1/75 (c) -293 a Which is the closest to -4/33? (a) 77068 (b) 4 (c) -4 c What is the closest to 116 in -0.1, 1, -1058, 2, -2? 2 Which is the closest to -3? (a) -104 (b) -3514 (c) 0.04 c Which is the nearest to 1.19? (a) 2/5 (b) 14082 (c) -4/11 a Which is the nearest to 0? (a) -0.7 (b) 1/7 (c) -5 (d) 1 (e) -0.00601 e Which is the nearest to -1833? (a) 0.2 (b) -0.2 (c) -4 (d) -77 (e) 2/19 d Which is the nearest to -1? (a) -0.3 (b) 1/37 (c) 107/4 (d) -88 a What is the closest to -17 in 0.074, 4, -0.249? -0.249 Which is the nearest to 1261? (a) -5.6 (b) -12 (c) 0.3 c Which is the nearest to 1047/4? (a) 3 (b) -3/11 (c) 1/4 (d) 1/7 a What is the nearest to -64 in 1/2, -2/23, -4/15, 4, -7/6? -7/6 Which is the closest to -3532? (a) -4 (b) 12 (c) 1/5 a Which is the closest to 7/155? (a) 1 (b) 5 (c) 24 (d) 11 a Which is the closest to -1? (a) 5 (b) 10 (c) -0.5 (d) 1.34 (e) 46.1 c What is the nearest to -2 in -1511.9, -0.17, -2, 5? -2 What is the closest to 22/123 in -3.4, -1/4, -34? -1/4 Which is the nearest to 1? (a) -27/22 (b) 84 (c) -3 (d) 44 a What is the closest to 1 in 624, -2, -5, -345.8? -2 Which is the closest to 0.08? (a) 0.1 (b) -10947 (c) -4 (d) 68 (e) 1/4 a Which is the closest to 3? (a) -2545 (b) -27 (c) -4/7 c Which is the closest to 0.12? (a) 1 (b) -41 (c) 153 (d) -0.1 d What is the nearest to 4 in -132, -4, -32, -7, 4? 4 What is the nearest to 4 in -2.4, -3/7, 74598? -3/7 Which is the closest to 0.0048? (a) -1 (b) -8 (c) -2/13 (d) 42 (e) 0.5 c What is the closest to -0.9 in 0, -2, 1.886, -6? 0 Which is the nearest to 0? (a) 6.9 (b) -5 (c) 1 (d) 50 (e) 1.2 c Which is the nearest to -2/3? (a) -7314 (b) -0.05 (c) 2/17 (d) 11 b What is the nearest to -3/178 in -8.19, 2/15, 5? 2/15 Which is the nearest to 2? (a) -0.5 (b) -13.1 (c) -3/5 (d) 154/9 (e) 1/2 e What is the nearest to -58 in 4, -3, 40257? -3 What is the closest to 3/5 in -1/4, -0.036, 2/5, -7188, 1/3? 2/5 What is the closest to -1.95 in -10, -8464, 3? 3 What is the closest to 42 in -215, 0.03, 2.61, 0? 2.61 What is the nearest to -0.1 in -5, 0.001, 3/53, -6, 1/3? 0.001 Which is the nearest to 1? (a) -3 (b) -0.0807 (c) -0.2 (d) -2 (e) 2 (f) -3/187 e Which is the nearest to -22/51? (a) 5 (b) -11 (c) 0 (d) -9 (e) 1/10 (f) -4 c Which is the nearest to 37? (a) -1/203 (b) -0.6 (c) -2/21 (d) -6 a What is the closest to 0.2 in 156/71, 3/2, 619? 3/2 Which is the nearest to -1? (a) -2/5 (b) -1/3 (c) -0.070192 (d) -4 (e) -1 e Which is the nearest to -13? (a) 5 (b) 0.3 (c) 67/161 (d) 12 b What is the nearest to 289 in 2/3, -1, -1/5, 8, -625? 8 What is the closest to 8.25 in 2/11, 55, 0.3, 3? 3 What is the nearest to -1 in -3/19, -2/25, -173/2, 0.37? -3/19 What is the closest to 17199 in -3, 2/9, 0.3, 1/4, -1/10, 3? 3 What is the nearest to -1/2 in 2/7, 5, -3.6, 49, -128? 2/7 What is the closest to 5 in -0.03, -2/11, 4.9, 2, 1/2? 4.9 What is the nearest to -25 in -1/12, 4, 5, 0.2? -1/12 What is the closest to 271 in -167, 66, 2/7? 66 What is the nearest to 1 in -776, -4, -448? -4 What is the closest to -1.5 in -0.3, -4/11, 43.472? -4/11 Which is the nearest to 2? (a) -0.5 (b) 0.01132 (c) 62 (d) 1/16 d What is the nearest to -175 in -1/12, 286, -24? -24 What is the closest to 0 in 168/43, -2/3, -4, 0.2, 200/33? 0.2 What is the nearest to 5/6 in 26586, 3, 9? 3 What is the closest to -1/4 in -517, -5, 2/271, 0.1, -0.5, 1/4? -0.5 Which is the nearest to -7? (a) -2/3 (b) -2/7 (c) 16119/5 a What is the closest to -45 in -29/5, 0.1751, -0.2? -29/5 Which is the closest to -2/95? (a) 1 (b) -7/2 (c) 22231 a What is the nearest to 1/13 in -0.274, -7792/5, 0.3? 0.3 What is the nearest to 122 in -3/7, 61/4, -145? 61/4 What is the closest to 0.3 in -0.03, -1/2, -5/3, -2/2101, 1/7? 1/7 What is the nearest to 29/4 in -61, 7, 1? 7 Which is the nearest to 23? (a) 2 (b) 4 (c) 7/34554 (d) 1/6 (e) -0.2 b What is the nearest to -0.3 in 11, 4, 0.4, -6, -692? 0.4 Which is the closest to -0.1? (a) 1/24 (b) 5 (c) 0.5 (d) -7 (e) 9/20 a What is the nearest to 0.108 in -10/7, -1.2, -0.3, -3.3, -0.1? -0.1 What is the closest to -56/3 in 0.1, -0.28, -0.227, 0.09, -1? -1 Which is the closest to -0.1? (a) 4 (b) -0.3 (c) 23/2 (d) -0.72 (e) 3/61 e Which is the nearest to 45/1606? (a) -1/2 (b) -4 (c) -4/7 (d) 0.3 d Which is the closest to -0.366? (a) -4 (b) -3/5 (c) -29159 (d) 5 b What is the nearest to 94 in -1/13, -0.3, -0.5, -2/405? -2/405 Which is the closest to 2/19? (a) -4/3 (b) 0.2 (c) 56/2123 c What is the nearest to -4 in -0.2, 74, -0.044, 4/23? -0.2 Which is the nearest to -0.3? (a) -2/13 (b) 15 (c) 4/5 (d) 1/5 (e) 2/163 a What is the closest to -13.9 in 2, 3, -5, -10, -174? -10 What is the nearest to 1/4 in 1/6, 17, 5, 473? 1/6 Which is the nearest to 0.02? (a) 3/7 (b) -5/3 (c) -1 (d) -95690 (e) 0.4 (f) 1 e What is the closest to 3/8512 in 85/6, -0.2, -2, -1, 1? -0.2 Which is the closest to -2/7? (a) -4/7 (b) -6/67 (c) -4 (d) -22/89 d What is the nearest to -1/2 in -0.033, 0.1, 92, 2, 4? -0.033 Which is the closest to -0.1? (a) -15 (b) 7 (c) 121 (d) -3/47 (e) 2/5 d What is the nearest to 10 in -11, 1, -2/3, -1/11, 1/8? 1 What is the nearest to 154458 in 0.3, -2/17, -7? 0.3 Which is the closest to -27? (a) 1/5 (b) 4 (c) -0.024 (d) 0.3 (e) -1/7 e Which is the nearest to 45/7? (a) -5 (b) -0.1 (c) 23570 (d) -2/11 b Which is the nearest to -1? (a) 0.1 (b) -3/2 (c) 2 (d) -1446574 (e) -7 b Which is the nearest to -0.1? (a) 2/5 (b) -31493 (c) 2 (d) -0.1 (e) 0.07 d Which is the nearest to -4? (a) -3/5 (b) 5 (c) -3 (d) 4/24321 c What is the nearest to 19 in 2666, 1/4, 2/7? 2/7 Which is the closest to -11107? (a) 5 (b) -1.21 (c) -3 c What is the nearest to -1/37 in 5/11, 0.3, -5.359? 0.3 Which is the nearest to -270? (a) 0.7 (b) -191/3 (
{ "pile_set_name": "DM Mathematics" }
(34/153) -4/47 What is the value of (-10*39/858)/(2/2)? -5/11 What is ((-15)/6)/((131/6288)/(4/8))? -60 What is the value of (2484/(-6))/(117/(-13))? 46 Evaluate 2*(-66)/(-264)*((-160)/14)/2. -20/7 What is (44*59/38940)/((-5)/100*(-6)/(-2))? -4/9 Evaluate (1242/12)/(2439/542). 23 Calculate (30/12)/((-805)/(-276))*308/2244. 2/17 ((8/(-158))/(127/127))/(2/(-1)) 2/79 What is the value of 3/((-72)/8*(-28)/(-1176))? -14 What is (-4)/(-5)*10*((-637)/(-84))/91? 2/3 What is the value of (45/50)/((-84240)/10800)? -3/26 Evaluate (60/(-120))/((((-294)/(-216))/49)/(-1*4)). 72 (-276372)/1706*3*4/54 -36 2/(68/153*(-3)/8) -12 (-455)/(-195)*(-372)/23002 -2/53 What is the value of 7/105*3/(-34)*648/((-15066)/(-93))? -2/85 Evaluate (-13)/1*(-724493)/122317. 77 What is the value of ((-6)/(120/4))/(64/(-400)*-20)? -1/16 Evaluate 873/(-388)*8/48. -3/8 Evaluate ((-48)/160)/((-1364)/(-3720)). -9/11 13/(234/(-84))*(-37)/((-117845)/630) -12/13 Calculate ((-2520)/200)/(17/((-1700)/(-30))). -42 Calculate (2436/(-1015))/((-2)/(-25)). -30 What is (40/(-18))/1*225/(-950)? 10/19 What is ((2/2)/((-2)/27))/(((-116518)/596)/(-391))? -27 68/(-37128)*-63*2 3/13 Calculate (15319456/(-864808))/(((-1)/(-14))/((-1)/4)). 62 (2*-6)/(((-478)/(-1434))/(2/(-57))*-3) -8/19 Evaluate (-103)/(7931/33)*(-2)/3. 2/7 Calculate (-32)/1600*(-184)/(-46). -2/25 What is (((-882)/(-336))/((-18)/(-8))*-4)/(1/6)? -28 What is the value of ((-33)/(-1386))/(9/(-27))? -1/14 Calculate ((-2966)/(-1239788))/(1/(-11)). -1/38 What is (12/(-20))/(3798/(-240540))? 38 Calculate ((-7)/(-4))/(29/(667/161)). 1/4 Evaluate ((-49)/(-588))/((-3306)/(-456)). 1/87 Evaluate (-3)/(-3270)*53840/(-2692). -2/109 Calculate 52/364*1*259. 37 Calculate ((-168)/(-68))/(654/(-14824)). -56 Evaluate ((-63)/707)/(8*(-63)/56). 1/101 Evaluate -74*9/162*9*(-52)/(-52). -37 Calculate 16/(-12)*3348/(-1488). 3 Calculate 10/33*(-3042)/845*-11. 12 Evaluate (((-7)/((-56)/(-4)))/((-8)/(672/21)))/19. 2/19 Calculate 1*(-68)/(-34)*-75*(-1)/(-2). -75 What is (702/(-13))/(6*31/((-1488)/128))? 27/8 Evaluate 1/12*-558*4/6. -31 What is (-6)/11*(-3168)/(-240)*30/(-24)? 9 What is the value of ((39/(-65)*105/(-126))/((-4)/40))/17? -5/17 What is ((732/7686)/((-2)/(-9)))/((-16)/4)? -3/28 What is the value of 8/88*11*14/350? 1/25 Evaluate (((12/10)/2)/3)/(143/(125125/(-75))). -7/3 What is the value of ((-22)/77)/(-2)*28*(-4)/(-88)? 2/11 What is (-5328)/30*21260/(-102048)? 37 Calculate (-215)/1204*88/330. -1/21 What is the value of (1/(-6))/(23/((-8694)/28))*(-26)/780? -3/40 -17*-2*((-58)/145)/(32/20)*10 -85 What is 90/((5/(30/(-9)))/((-462)/(-616)))? -45 Calculate (290/(-1740))/(24/(-16)*(-4)/48). -4/3 What is the value of (168/(-21))/((-9)/(-36))*(-9)/(-42)? -48/7 What is the value of ((-1)/(-6))/(3334/(-470094))? -47/2 Evaluate ((-9)/18)/((-14)/(-1848))*12/24. -33 Calculate (-82)/(-205)*300/(-2)*9/(24570/84). -24/13 What is (8*(-18)/2304)/((18/60)/(1/5))? -1/24 -42*((-6)/16)/((628/(-1570))/((-8)/(-15))) -21 What is (((-2)/(-32))/(4614/135344))/(((-55)/210)/11)? -77 What is (-11)/(((-90)/3510)/(-14*10/(-2310)))? 26 What is the value of (2/(-180))/(-156*(-120)/(-17280))? 2/195 What is ((-18)/5)/((-11586)/154480)? 48 Evaluate ((-31)/(1364/(-418)))/((3/2*-1)/3). -19 Evaluate ((-76)/(-418))/(2/11)*(-714)/28203. -2/79 What is the value of 5*6*(-787)/(-43285)? 6/11 Evaluate (5/(120/(-9)))/((-1512)/112). 1/36 Evaluate (-4)/2*(-3477)/(1464/(-24)). -114 What is the value of (1050*133/2793)/20? 5/2 Evaluate -285*-46*(-135)/(-15525). 114 Evaluate ((-11)/(-418))/(13*23/(-92)). -2/247 Evaluate 3/(1809/21)*(11753/1022)/((-483)/(-12)). 2/201 (-63*11/(-6)*(-2000)/5500)/(3/(-4)) 56 Evaluate (-5467)/3124*(-24)/4515. 2/215 What is the value of (-1344)/2688*(-11)/((-11)/(-190))? 95 What is (6/21)/(468/(-16380)*30/(-31))? 31/3 Calculate (-1449)/(-92)*157/(-942). -21/8 What is 24*(-41)/615*35? -56 -11*(-1)/3*3087/3773 3 What is ((-4)/30)/((1/6)/(((-40420)/(-80))/47))? -43/5 Evaluate 1250/(-9500)*5*12/(-150). 1/19 Calculate (63/(-9))/(2/(-2356)*-133). -62 What is (176249/(-2370))/(-97)*-6? -23/5 Evaluate (7160/(-44750))/((-6)/30). 4/5 ((-4)/(-234))/(1/26*(-21)/(-21)) 4/9 Evaluate ((-64)/(-10))/((-2268)/(-945)). 8/3 What is the value of (((-180)/48)/5)/((2/88)/(5/(-5)))? 33 What is 26/(-4420)*-70*(-68)/(-4)? 7 ((-154)/79233*245)/(4/90) -75/7 20264/(-111452)*12/(-8)*(-22)/492 -1/82 Evaluate (2/(-105)*-21)/((-2)/1*(-63)/(-525)). -5/3 What is the value of (24/(-27)*-6)/((-462)/198)? -16/7 ((-72)/45)/((-12)/(-130))*598/(-2392) 13/3 Evaluate -29*(-90)/(-522)*(-117)/(-3)*(-1)/3. 65 16/(-12)*2/(8/102)*(-383)/(-383) -34 What is (-16)/6*(-228819)/6856? 89 What is the value of (-15)/2*-13*(261708/(-6755))/(-339)? 78/7 Calculate 2/(4/18)*163894/38817. 38 What is the value of (-513)/(-63)*1379/394? 57/2 Calculate ((-192)/320)/((-30)/(-96900)*-17). 114 5/(-3)*3/(-15)*29 29/3 What is the value of ((-153)/34)/9*0*-3*2/(-48)? 0 Calculate ((-17)/(-15))/((-106454)/(-31310)). 1/3 Evaluate ((-16)/64*132/3)/((-8)/(-24)). -33 Calculate (3/25)/(1672/(-104500)). -15/2 (354/(-3186))/(2/30)*-18 30 Calculate -13*405/9828*(-30)/225. 1/14 Evaluate ((-31)/558*(-48)/204)/(4/6). 1/51 Evaluate ((-176)/40)/(56/(-140))*3/77. 3/7 What is 7*(-2)/(-238)*(-63)/((-1890)/300)? 10/17 Calculate (7425/110)/(-9)*(-32)/(-6). -40 What is the value of ((-80)/64)/((-12960)/5832)? 9/16 Evaluate (-24)/((-12)/4)*(80/36)/(-10)*9. -16 Evaluate (((-3)/30*26)/((-766)/(-3830)))/2. -13/2 7/273*1534/(-472) -1/12 What is (-24)/(-18)*1926/28*(2254/(-84))/23? -107 What is ((-50)/(-30)*3)/(3/2*(-2)/6)? -10 Evaluate (6*-5*(-570)/(-2565))/(-5*(-9)/540). -80 Calculate (-434830)/670*(-4)/44. 59 Calculate (15/20)/(((-265)/5512)/((-35)/(-14))). -39 Evaluate (-60)/(-12)*1886/123*(-3)/5. -46 ((-75)/(-570))/(180/576) 8/19 What is the value of ((-111)/((-47619)/390))/(16/22)? 5/4 Evaluate (18/51)/(31248/8432). 2/21 (1*-3*8/(-60))/(85/146200*43) 16 Calculate 12/(-4)*(-4)/24*96/(-224). -3/14 What is the value of 4044/13480*1480/(-12)? -37 What is ((2784/73080)/(1/10))/((-1)/3)? -8/7 What is (2*-1*-142)/(108*(-220)/(-5940))? 71 What is the value of (-15)/(-9)*(-1314)/(-1752)? 5/4 (-44527)/(-19083)*(-18)/(-119) 6/17 What is 5*15/(-495)*(-132)/110*6/8? 3/22 396/(-24)*(-1524)/(-150876) -1/6 What is the value of ((144/(-30))/(-4))/(((-15)/200)/((-17)/136))? 2 What is -1*(-9)/3*(-3)/594*-143? 13/6 Calculate (-16)/((-1408)/(-33))*(-1288)/(-18354). -1/38 Calculate (12/36)/((20/(-420))/((-6)/483*1)). 2/23 Calculate 63/(-30)*30/(-245)*(-1484)/159. -12/5 Evaluate ((-666)/21)/(9540/11130). -37 (-4)/((-212)/689)*1 13 What is the value of (12/(8/(-2))*55/165)/(25/(-550))? 22 Calculate ((6/(-70))/((-116)/1044))/(9/15). 9/7 Calculate (((-1)/4)/(((-340)/(-34))/10))/(-3). 1/12 Calculate (-11)/(9240/(-9))*888/(-1332). -1/140 Evaluate (((-13685)/1564)/(25/(-12)))/(48/5). 7/16 ((-15)/((-180)/14))/((-14)/(-66))*-2 -11 312/16*(132/308)/(15/(-70)) -39 Calculate ((-887)/(-10644))/((117/(-12))/3). -1/39 What is (20580/3185)/(120/104)? 28/5 Evaluate (222/185)/(30/1275). 51 What is (-4)/(-474)*((-97)/(7178/(-111)))/(2/4)? 2/79 Calculate (-4837)/(-174132)*6/(-4). -1/24 1872/(-78)*63/(-72) 21 Calculate (-28)/20*(384/1024)/(66/40). -7/22 Calculate 3456/288*125/(-20). -75 What is the value of (105/((-20160)/96))/(2*(-1)/112)? 28 Evaluate 1/((-26)/(-39))*-5*(-8)/(-300). -1/5 What is the value of (-276)/((-20)/5)*(-3353)/(-10059)? 23 What is the value of (12/22)/(12/(-22)*(-154)/56)? 4/11 (-2440)/91500*-1*1 2/75 Evaluate ((-4025)/(-644))/((-525)/30). -5/14 (-380)/12*((-3)/12)/((-305)/1464) -38 What is the value of (10/(-6))/1*1155/275? -7 Evaluate (117/13)/(-63)*((-66080)/128)/5. 59/4 What is 620/(-31)*5/5*(-6)/20*-4? -24 Evaluate (64/(-40)*1)/(-592*(-46)/1840). -4/37 Evaluate ((-5920)/(-2368))/((-2)/28). -35 Evaluate (39/((-273)/56))/(10/18*6/(-15)). 36 What is 61/((-2135)/238)*25/5? -34 What is (-99)/2574*40/10? -2/13 Evaluate ((-2205)/(-135))/(40/30)*(-16)/(-4). 49 What is the value of (86/(-473))/((-358)/(-61039))? -31 What is the value of ((-14)/(-6))/(2979/62559)? 49 ((-528)/3960)/(33/((-5049)/(-34))) -3/5 Evaluate (-46*(-28)/1610)/((45/150)/((-57)/(-4))). 38 What is the value of (-41297)/1354*2/(-1)? 61 86/(-8)*(-3024)/756 43 Evaluate ((-432)/(-108))/((-3)/270*-4). 90 What is the
{ "pile_set_name": "DM Mathematics" }
ort 3, z, -4 in descending order. 3, z, -4 Let u = 111 - 114. Sort u, 0.3, 10, 2/7. u, 2/7, 0.3, 10 Let a = -10 + 11. Put -5, -33, a in decreasing order. a, -5, -33 Let l(h) = -h**3 + 6*h**2 + 8*h. Let k be l(7). Let m = k - 3. Put m, 3, -4 in ascending order. -4, 3, m Let b be (-10)/12 + (-1)/(-2). Let k = 64.1 + -57. Let h = k - 7. Put 3/8, h, b in descending order. 3/8, h, b Let p(r) = -r + 3. Let w(i) = 2*i - 5. Let b(n) = -5*p(n) - 2*w(n). Let d be b(10). Put d, -4, -5 in ascending order. -5, -4, d Let w(b) = -b**2 - b + 2. Suppose 2*o + 3*o = 10. Let i be w(o). Let j = -14 + 15. Sort j, i, 3. i, j, 3 Let u be 26/(-10) + (-30)/75. Let k = 1 + -2. Sort u, -5, k in descending order. k, u, -5 Let g be (4/(-6))/((-2)/12). Let p(z) = -z + 3. Let x be p(5). Let m be (4/(g/2))/x. Put m, -5, -3 in descending order. m, -3, -5 Let m = -14.5 + 14.4. Let c = -1.1 - -0.1. Sort 0.3, m, c. c, m, 0.3 Let w = 2 + 10. Let p = 11 - w. Put -5, 1/5, p in descending order. 1/5, p, -5 Let o be 2*-1*(-7)/14. Sort 2, o, -8. -8, o, 2 Let v = 10.3 + -10.3. Let y = -5 - -5.08. Sort v, y, -1. -1, v, y Let p = 6 + -10. Let c = p - -2. Put -3, c, -5 in ascending order. -5, -3, c Let r = -13 - -13. Suppose r = -4*h + 3*h - 4. Put h, -3, -1 in ascending order. h, -3, -1 Let a = -14 + 17. Let x = 3.3 + -3. Let f be ((-2)/(-2))/1 - 0. Sort x, a, f in decreasing order. a, f, x Let c = -103 + 103.4. Let m = -2.99 - 0.01. Sort 4, m, c in decreasing order. 4, c, m Suppose 1 - 4 = -s + 5*n, 4*s = -3*n - 34. Let r = s - -10. Let a = 428 - 423. Sort -3, a, r in increasing order. -3, r, a Let d = 25 - 24. Let a(p) = 2*p. Let m be a(1). Sort -3, m, d in decreasing order. m, d, -3 Let v be (-7)/56*20/(-3). Sort v, -2, 5, -5/2. -5/2, -2, v, 5 Let c = 75 - 74. Suppose 3*y - 10 = -2*y. Sort y, c, 0. 0, c, y Suppose 0*r - 2*r = z + 14, -18 = z + 3*r. Suppose -1 = 3*t - 4. Put z, -3, t in decreasing order. t, -3, z Suppose -3*t + 2*f = 1, 0 = 5*t + f - 20. Let i(a) = -a**2 + a + 20. Let q be i(0). Let n be (-2)/q*(t - 2). Sort -3, n, 3. -3, n, 3 Suppose -x = 2*x. Suppose -t + 2 = t, x = -4*b + 4*t. Sort b, -1, -3 in ascending order. -3, -1, b Let r = -8 + 5. Let o = 209 - 213. Put r, 3, o in descending order. 3, r, o Let q(d) = 3*d**2 - 2*d + 1. Let f be q(1). Suppose -f*a + 4*a = -6. Sort -0.4, a, 2. a, -0.4, 2 Let m(v) = -2*v**3 - 6*v**2 - 1. Let u be m(-5). Let g be u/90 - (-2)/(-4). Sort 2, -0.1, g in ascending order. -0.1, g, 2 Let k = -4 + 4. Let p(u) = -u**3 + 4*u**2 - 3*u + 1. Let q be p(2). Suppose -q*c = -0*o + 2*o, 4*o + 12 = 0. Put 3, c, k in increasing order. k, c, 3 Suppose -5*c - 37 = -3*b, -3*c - 2*b + 0*b = 7. Sort -4, -2, c in ascending order. c, -4, -2 Let m be 2/2 + (-17)/34. Let k = 2 - 6. Suppose 0 = -4*l - 16, 0*a - 4*a + 8 = l. Put k, a, m in ascending order. k, m, a Let y be 22/(-6) + (-2)/(-3). Let v be (y/2)/(3/(-10)). Sort 1, v, -2. -2, 1, v Let p = 7.3 + -7.6. Put p, -1/4, 6/5 in ascending order. p, -1/4, 6/5 Let j = 0.06 - -0.94. Let l = -99 + 94.3. Let v = l - -5. Put j, v, 5 in increasing order. v, j, 5 Suppose -2*r + 0 = -4. Put 3, 0, 4, r in ascending order. 0, r, 3, 4 Let r = -49 - -45. Put -2, 0.4, r, -0.1 in decreasing order. 0.4, -0.1, -2, r Let z(k) = k**2 - 2*k - 40. Let o be z(7). Let n = 19 - 39/2. Put o, 2, n in decreasing order. 2, n, o Let v = 5 + -2. Suppose 3*l = -l + 60. Let p be (-4)/l*30/36. Sort v, 4, p in increasing order. p, v, 4 Let o = -62/7 - -200/21. Put -1, o, 1/3 in descending order. o, 1/3, -1 Let a = 252 + -256.11. Let u = 0.11 + a. Sort 1/2, -0.5, u in descending order. 1/2, -0.5, u Let s(h) = h + 6. Let d be s(-6). Suppose p + 4 - 3 = d. Put 2, 0, p in descending order. 2, 0, p Let d = 13 - 8. Let a = 12 + -12.5. Put 3, d, a in decreasing order. d, 3, a Let v = 2 - -4. Let l be 1*v*2/4. Suppose -25 = -48*h + 53*h. Put h, l, 5 in increasing order. h, l, 5 Let l(v) = 5*v**2. Let p be l(1). Suppose 5*b = -0*b - 165. Let q be (-126)/33 - (-6)/b. Sort p, q, 2 in decreasing order. p, 2, q Let b = -0.398 - 0.022. Let k = -0.02 - b. Let w = -1.5 - -5.5. Sort w, -3/2, k in increasing order. -3/2, k, w Suppose -3*r = 4*v - 161, 5*v - 4*r - 21 - 219 = 0. Sort 2, 1, v. 1, 2, v Let y be 2/(-23) + 364/483. Sort -1.2, y, 2, -2 in descending order. 2, y, -1.2, -2 Let o = 20 - 20.5. Sort 8, o, 0. o, 0, 8 Let h be 1*(25 + 0 + 0). Suppose 0*i - 5*x = i + h, 5*x = i - 25. Suppose 6 = 3*b - i*b. Put 5, b, 1 in decreasing order. 5, b, 1 Suppose -r - 38 = -3*w - w, -w = -5*r - 171. Let h be 47/r - (-9)/6. Let n = 1/5 - 0. Put n, h, -2 in decreasing order. n, h, -2 Suppose -5*g = -3*g - 6. Suppose g = 4*m - m. Suppose 5*w + 8 = w. Put m, -1, w in decreasing order. m, -1, w Let d = 9 - 10. Let p be ((-2)/(-6))/(1/(-3)). Let f = p + 2. Put -3, d, f in ascending order. -3, d, f Let z = 5.2 + -3.6. Let b = 0.08 + -0.68. Let m = b + z. Put 0.5, 3/4, m in descending order. m, 3/4, 0.5 Let m = 4.06 + -0.06. Let t = m - 5. Sort t, -3/8, 0.1 in decreasing order. 0.1, -3/8, t Let c(f) = -f + 10. Let b be c(15). Sort b, -2, -1/2. b, -2, -1/2 Let w be (-2)/(-11) + (-288)/858. Put w, 5, 0 in decreasing order. 5, 0, w Let m(o) = 4*o**2 + 2*o**2 - o**3 + 2 - 5. Let p = -5 - -11. Let y be m(p). Sort -0.5, -2, y in ascending order. y, -2, -0.5 Let o = 14 - 12. Suppose 3*f - 3*z = 0, -3*z - 4 + 2 = -f. Put -4, o, f in descending order. o, f, -4 Suppose -x + 0 = 1. Let g be (2 + 1)*(x - 0). Let r = g + 2. Sort 3, -0.3, r in ascending order. r, -0.3, 3 Suppose -4*a = -3*f + f + 10, 5*a + 11 = 4*f. Put a, 3, 0 in descending order. 3, 0, a Suppose 3*w + 2*j + 78 = 0, 0 = -2*w - 4*j - 63 + 11. Let y be (-2 + 0)/(w/(-39)). Put 4, 8, y in descending order. 8, 4, y Suppose -y + 7 = 5. Put y, -1, 5, -4 in ascending order. -4, -1, y, 5 Let o be 10/(-1)*(-2)/4. Suppose -5*s = 2*p - 64, -3*s + 2*p = -0*p - 48. Let k be (-5)/7 - 4/s. Put 2, k, o in decreasing order. o, 2, k Let p = -498.01 + 494. Let d = p + 0.01. Let s = d - 0. Put -3, 1, s in descending order. 1, -3, s Let k = -254/469 + -2/67. Put 0.2, -11, k, -1/4 in descending order. 0.2, -1/4, k, -11 Let l = -4.59 + 0.19. Let u = l + 4. Put -2, -1, u in decreasing order. u, -1, -2 Let f = 2 - 3. Let h(x) = x**2 - 9*x + 8. Let o be h(8). Sort o, f, 1 in increasing order. f, o, 1 Let j = -2 - -3. Let w = -2 + j. Let c = -8/45 + -1/45. Sort c, 2, w in decreasing order. 2, c, w Let r(w) = w**3 - 7*w**2 + 7*w - 3. Let a be r(6). Sort a, 0, 1 in increasing order. 0, 1, a Let t be (-44)/(-88) - (0 + (-1)/2). Sort t, -1, -2, 49 in ascending order. -2, -1, t, 49 Let l = 23 - 28. Sort 0.3, l, -2. l, -2, 0.3 Let t = -9 + 13. Let q = -0.2 + 0.3. Put t, q, -1/5 in decreasing order. t, q, -1/5 Let p be 12/(-9)*(-3)/2. Let b be (0 - -4)/((-4)/(-6)). Suppose b*q = q + 15. Put p, q, -3 in ascending order. -3, p, q Let n be ((-2)/(-5))/(1/5). Let q be 2 + 3 - -2 - n. Suppose 3*y = -2*w - 22, -q = -y + 2*w + 1. Sort 3, y, -2 in descending order. 3, -2, y Suppose -7*b - 80 = 9*b. Sort 0, b, 3, -2 in decreasing order. 3, 0, -2, b Let i = 1.6 + -1.6. Put 6, -5, i in decreasing order. 6, i, -5 Suppose -o + 2 = -0. Let w(q) = 2*q + 6. Let n be w(-3). Let x = o - n. Sort 1, x, 4 in descending order. 4, x, 1 Suppose -l + 19 = 4*u - 9*u, 0 = 4*l + 3*u + 39. Suppose -4*i - 17 = -3*x + i, 5*x - i + 1 = 0. Let m = l - x. Sort 5, 3, m. m, 3, 5 Suppose -5*p + 4 = -p, -2*p = -5*h + 8. Suppose -9 = -3*y, 11 = t + 7*y - 2*y. Sort 0, h, t. t, 0, h Let v = 0.2 - 0.1. Let w = -0.1 + 1.2. Let f = w - v. Sort -4, f, -3. -4, -3, f Let v be 2 + (4 + -2)/2. Suppose 0*r + 5*r = 5*b + 55, -3*r = -2*b - 30. Let a be 15/6*r/10. Put a, -1, v in ascending order. -1, a, v Suppose 5*x - 14 = 6. Suppose 0 = u + d - 4, -u - 5*d + 0 = -x. Let w = u + -2. Sort 3, w, 5 in ascending order. w, 3, 5 Let g be 6/3*(0 + 1). Let u = -1 - -2. Sort -1, g, u in decreasing order. g, u, -1 Let w = -9 + 2. Sort w, 1, -0.1 in increasing order. w, -0.1, 1 Let j be 11 - 8 - (-3 + 2). Let v = 11 + -8. Sort 5, j, v. v, j, 5 Let a = -81/14 - -30/7. Put a, 3, -1/3 in descending order. 3, -1/3, a Suppose -4*l - 2032 = -4*m, -2*m - 2*m + 1010 = -2*l. Let v be (2/3)/(38/29121). Let j = l + v. Sort 0.3, j, 1/2. j, 0.3, 1/2 Let i = -0.3 - -0.7. Let l = -0.8 + i. Sort l, 4, -5. -5, l, 4 Let h = -3 +
{ "pile_set_name": "DM Mathematics" }
+ 10*j + 10*j - 30*j. Give y(h(i)). 412*i**2 Let i(m) = 0*m**2 + 0*m**2 - 7*m**2 + 4*m**2. Let j(q) be the first derivative of -q**2 + 75. What is i(j(d))? -12*d**2 Let j(k) = 12*k - 3. Let v(m) = -1277*m. Calculate j(v(i)). -15324*i - 3 Let d(m) be the third derivative of -m**5/15 + 17*m**2. Let y(l) = -31*l**2 - 13. Let q(z) = -5*z**2 - 2. Let c(g) = -39*q(g) + 6*y(g). Calculate d(c(a)). -324*a**4 Let s(k) be the second derivative of -3*k**3/2 - 2*k + 55. Let v(o) = 9*o**2 + 1. Determine v(s(y)). 729*y**2 + 1 Let f(m) = 2*m - 30. Let l(p) = -270 + 270 - 570*p + 571*p. What is l(f(y))? 2*y - 30 Suppose 45*b - 40*b - 85 = 0. Let q(g) = 119 - 119 + b*g**2. Let i(w) = 2*w**2. Determine q(i(x)). 68*x**4 Let u(m) = -19*m. Let s(x) = 0*x + 4 - x + x**2 - 2*x**2 - 3. Let f(n) = 4*n**2 + 5*n - 5. Let h(o) = -f(o) - 5*s(o). What is h(u(y))? 361*y**2 Let m(z) = -3*z**2. Suppose 328*j = 343*j. Let i(x) be the first derivative of 3/2*x**2 + 4 + j*x. Calculate i(m(n)). -9*n**2 Let c(g) = 2*g. Let i(k) = -124581*k**2. What is c(i(n))? -249162*n**2 Suppose -5*z + 35 = 5*v, 35 = -0*v + 5*v + 2*z. Let g(l) = -v*l**2 + 8*l**2 - 18*l + 18*l. Let a(w) = 2*w. Give a(g(c)). 2*c**2 Let y(c) be the first derivative of -c**2/2 + 49*c - 212. Let i(g) = 3*g. Calculate y(i(m)). -3*m + 49 Let t(w) = 59*w - 4. Let f(y) = 3124*y - 213. Let h(j) = 4*f(j) - 213*t(j). Let r(b) = -3*b**2. What is h(r(p))? 213*p**2 Let y(i) = 15*i. Let m(o) be the third derivative of 0*o + 26*o**2 + 0 + 0*o**3 + 1/12*o**4. Calculate y(m(v)). 30*v Let t(i) be the first derivative of -3*i**2/2 + 180. Let u(x) = -65*x. Determine u(t(f)). 195*f Let s(l) = 3853*l**2. Let y(n) = -n**2. Give y(s(t)). -14845609*t**4 Let v(x) = -3*x**2 + 4*x. Suppose 0 = -2*b + 11 + 11. Let d(m) = 8*m**2 - 11*m. Let s(y) = b*v(y) + 4*d(y). Let h(n) = -2*n + 6*n + 0*n. Calculate h(s(p)). -4*p**2 Let w(y) = -99*y. Let v(p) be the first derivative of -5*p**2/2 + 156. What is v(w(k))? 495*k Let x(a) = 124*a + 10. Let q(o) = 9983*o + 804. Let u(b) = 5*q(b) - 402*x(b). Let z(h) = -3*h. What is z(u(r))? -201*r Let f(a) be the first derivative of 152*a**3/3 - 2*a + 894. Let n(o) = -o. Determine f(n(c)). 152*c**2 - 2 Let z(r) = -3*r**2. Let k(b) be the second derivative of -b**7/840 + 7*b**4/4 + 11*b. Let s(x) be the third derivative of k(x). Give s(z(i)). -27*i**4 Let x(d) = 2*d. Let y(t) = 18092*t. What is y(x(s))? 36184*s Let b(c) = -c. Let q(y) = 5*y - 8745. Determine q(b(f)). -5*f - 8745 Let l(i) = 6*i**2. Let y(a) = 10*a - 883. What is y(l(m))? 60*m**2 - 883 Let g(b) = 4*b. Let o(d) = d**2 + d. Let h(p) = 22*p. Let v(z) = -h(z) + 22*o(z). Calculate g(v(k)). 88*k**2 Let m(l) = -313 + 313 - 19*l**2. Let z(i) = 6*i**2. Calculate z(m(v)). 2166*v**4 Let z(b) = -13*b. Let s(x) = -485*x + 1. What is s(z(i))? 6305*i + 1 Let d(z) = 2*z**2. Let n(m) = -19*m**2 - 5*m + 5. Let x(w) be the first derivative of 3*w**3 + w**2 - 2*w + 19. Let t(u) = -2*n(u) - 5*x(u). What is t(d(j))? -28*j**4 Let a(w) = -8*w**2 - w + 775. Let l(p) = 12*p. Give a(l(k)). -1152*k**2 - 12*k + 775 Let m(o) = 3*o. Let n(p) = 12463 + 116*p - 12463. What is n(m(t))? 348*t Let s(g) = -g. Let c = 51 + -45. Let p(h) = 2*h**3 - h**2 + h. Let t be p(1). Let u(d) = -d + t*d - c*d. Determine s(u(q)). 5*q Let l(c) be the second derivative of -14*c**3/3 + c. Let r(y) = -9*y**2 - 13*y**2 - 11*y**2 + 47*y**2 - 15*y**2. Give l(r(f)). 28*f**2 Let f(x) = 11*x**2 - x. Let c(q) = -3*q**2 + 364044*q - 364044*q. What is c(f(g))? -363*g**4 + 66*g**3 - 3*g**2 Let h(l) = 46*l**2 - 6*l. Let k(f) = -23*f**2 + 4*f. Let n(w) = -3*h(w) - 5*k(w). Let b(a) = -7*a. What is b(n(q))? 161*q**2 + 14*q Let u(r) = -15*r**2. Let c(h) = -1121*h**2. Determine c(u(k)). -252225*k**4 Let r(t) = 49*t - 153*t + 53*t + 50*t. Let d(y) = 5*y. Determine r(d(f)). -5*f Let p(a) be the first derivative of -2*a**2 - 2*a + 105. Let c(z) = z**2. What is c(p(i))? 16*i**2 + 16*i + 4 Let s(i) = -2*i**2. Let w(o) be the first derivative of -2*o**5/15 - 35*o**2/2 + 12. Let p(q) be the second derivative of w(q). What is p(s(l))? -32*l**4 Let g(j) = -22*j - 2 + 2 + 23*j + 4*j. Let n(y) be the second derivative of -7*y**4/12 + 3*y. Calculate g(n(m)). -35*m**2 Let q(f) = -1 - 4*f + 1. Let r(y) = -y + 20. Let o be r(14). Let p(w) = 0 + w + o - 6. Determine p(q(j)). -4*j Let p(f) be the first derivative of -f**3/3 - 352. Let j(u) = 0*u**2 - 5*u**2 + 4*u**2. Give p(j(h)). -h**4 Let l(w) be the first derivative of -5 + 0*w**3 + 6*w + 0*w**2 - 1/12*w**4. Let x(i) be the first derivative of l(i). Let k(o) = 12*o**2. What is k(x(b))? 12*b**4 Let g(s) = -2*s**2. Suppose -18*q = -14*q - 124. Let a(t) = -23 + q*t + 23. What is g(a(o))? -1922*o**2 Let v(g) = 9*g**2. Let w be ((-16)/6)/(10/(-570)). Let c(x) = -w*x**2 + 79*x**2 + 78*x**2. Determine v(c(j)). 225*j**4 Let t(o) be the second derivative of 3*o**3 + 225*o. Let j(z) = 4*z**2. Determine t(j(y)). 72*y**2 Let y(p) = -p**2. Let o(f) be the first derivative of 0*f - 4 + 4/3*f**3 + 0*f**2. Determine o(y(a)). 4*a**4 Let k(u) = 8*u**2 + 0*u**2 + 8*u**2 + 0*u**2. Let q(x) = 15*x. Give q(k(d)). 240*d**2 Let q(c) = -6*c**2 - 8*c + 4. Let j(g) = 5*g**2 + 6*g - 3. Let f(o) = -4*j(o) - 3*q(o). Let a(b) = 19*b. Calculate f(a(w)). -722*w**2 Let r(z) = -4*z + 1. Let p(o) = -3718*o. Calculate r(p(s)). 14872*s + 1 Let q(u) = -u**2. Let j(t) be the first derivative of 46*t**3 + 83. Give j(q(x)). 138*x**4 Let a(z) = -3*z. Let c(t) = t + 7. Let q(m) = 3*m. Let o be q(2). Let n be c(o). Let g(f) = f. Let p(x) = n*g(x) + 6*a(x). Let l(y) = y**2. What is l(p(b))? 25*b**2 Let u(t) = 22*t**2 + 46*t**2 - 67*t**2. Let b(d) = d + d**2 - d. Calculate u(b(f)). f**4 Let z be -5*(-5)/50*6. Let l(c) = 17*c - z*c**2 + 19*c - 36*c. Let f(a) = -7*a**2. Determine l(f(r)). -147*r**4 Let w(u) = 2*u**2. Let z be 1*(4 + -7 + 8). Let t(c) be the first derivative of z + 2 + c**2 + 2. Determine w(t(o)). 8*o**2 Let k(i) = 2*i. Suppose -2 = 4*c + 2. Let m = c - -3. Let a(y) = 4*y - 4*y - m*y. Calculate k(a(g)). -4*g Let z(c) = -210*c. Let r(n) = -3*n. Let y(j) = 75*r(j) - z(j). Let d(b) = -13*b**2. What is d(y(u))? -2925*u**2 Let r(z) = -15 + 4*z + 15. Let p(o) = -2*o**2 - 5*o**2 + 27*o**2 - 12*o**2. What is p(r(x))? 128*x**2 Let u(v) = -19*v**2. Let o(r) = -180*r**2 + 24*r - 24. Let z(f) = 36*f**2 - 5*f + 5. Let x(p) = 5*o(p) + 24*z(p). Determine u(x(q)). -24624*q**4 Let d be -2 + 44 + 3/(-1). Let k = d + -22. Let g(a) = 11*a + k*a - 26*a. Let s(c) = 15*c. What is s(g(l))? 30*l Let v(o) = 30*o - 4. Let k(h) = 242*h - 33. Let a(b) = 4*k(b) - 33*v(b). Let g(d) = 2*d**2 - 2*d**2 - 2*d**2. Determine g(a(i)). -968*i**2 Let l(z) = -151 - 3*z + 151. Suppose -u = -4 + 2. Let h(k) = k**2 - u*k**2 + 0*k**2 - 4*k**2. What is l(h(d))? 15*d**2 Let s(a) = -9*a**2 + 26*a. Let j(m) = -4*m**2 + 12*m. Let v(l) = 13*j(l) - 6*s(l). Let i(q) = -7*q**2 - 8. Give v(i(p)). 98*p**4 + 224*p**2 + 128 Let n(h) = -79167*h. Let w(q) = 4*q**2. Give n(w(c)). -316668*c**2 Let p(k) be the first derivative of 4*k**3 + 1. Let x(c) = -22*c**2 - 18*c + 9. Let v(u) = -10*u**2 - 8*u + 4. Let h(i) = -9*v(i) + 4*x(i). What is p(h(d))? 48*d**4 Let j(z) = 2*z**2. Let u be (-14)/8*(-7 - (-1 - -2)). Let r(k) = -3*k**2 - 2*k + 2. Let a(x) = 10*x**2 + 7*x - 6. Let d(f) = u*r(f) + 4*a(f). Give d(j(h)). -8*h**4 + 4 Let x(w) = -1035 - 9*w - 4*w + 1041. Let k(z) = 2*z. Calculate x(k(q)). -26*q + 6 Let u(w) = 8*w + 5. Let s(x) = 2*x + 1. Let a(h) = -5*s(h) + u(h). Let g(j) = -57*j. Determine a(g(r)). 114*r Let l(n) = -2. Let f(v) = -2*v - 4. Let i(p) = f(p) - 2*l(p). Let b(c) = 8*c**2. Give b(i(m)). 32*m**2 Let t(v) = 2*v**2 + 67. Let w(o) = -o**2 - 33. Let n(c) = -3*t(c) - 5*w(c). Let u(d) = d. Determine n(u(l)). -l**2 - 36 Let r(p) = 79*p + 3 - 3 - 94*p. Let x(m) = 8*m**2. Calculate x(r(l)). 1800*l**2 Let o(k) = 2*k - 1. Let q(s) = -20*s + 12. Let n(i) = 12*o(i) + q(i). Let t(a) = -6*a**2 - 4*a. Calculate t(n(m)). -96*m**2 - 16*m Let n(w) be the second derivative of -w**3/6 - w**2/2 - 14*w. Let q(x) = 42*x + 24. Let o(s) = -24*n(s) - q(s). Let h(z) = 2*z**2. Calculate h(o(b)). 648*b**2 Let h(l) = 3 + 1 - 2. Let q(n) = -n - 1. Let z(m) = h(m) + 2*q(m). Let c(u) = -43*u**2 + 105*u**2 - 42*u**2. What is c(z(y))? 80*y**2 Let b(j) be the third derivative of j**7/5040 - j**
{ "pile_set_name": "DM Mathematics" }
= -3*s + 99. Let l(i) = 4*i**2 - 4*i - 112. Let u be l(6). Solve s - u = -5*j for j. -5 Let j be -6 + ((-13)/2 - 0)*10. Let o = j + 71. Solve o = -0*f - 4*f for f. 0 Let t = 13677 + -13648. Solve -p + t = 28*p for p. 1 Suppose s + 4*q - 16 = -4*s, -s + 20 = 5*q. Suppose 121*n = 123*n - 5*z - 13, 0 = 4*z + 4. Solve -n*i + s = -20 for i. 5 Let l = -32 - -112. Let o(k) = -k**2 + 31*k - 12. Let i be o(33). Let t = l + i. Solve q = -t*q for q. 0 Suppose 5*j = 20 - 0. Suppose 0 = -5*s + b - 145, j*b + 13 = -s + b. Let d be (18/(-21))/(8/s). Solve -d*n = 6 + 9 for n. -5 Let t(i) = 25*i - 182. Let k be t(7). Let p(d) = -4*d**2 - 26*d + 19. Let b be p(k). Solve -b*x = -x for x. 0 Let k = -183 + 188. Suppose -5 - 9 = -4*j - k*i, -2*j - 6 = -4*i. Solve -5 - j = -6*v for v. 1 Let d = 3466 + -3449. Solve -d*r = -11*r + 30 for r. -5 Suppose 13 = 4*z + 5. Suppose -z*i + 21 = 4*w - 31, 0 = 4*w + 5*i - 52. Suppose -2*j - 6*n + w = -3*n, 3*j - 19 = -4*n. Solve -j*g + 15 = -0 for g. 3 Suppose 5*l = 4*m - 41 + 127, 4*m - 26 = -3*l. Solve 9*b + 6*b + l*b = 0 for b. 0 Let a(i) = i**3 + 31*i**2 + 1. Let m be a(-31). Let q be ((-10)/3)/(119/(-105) + m). Solve 13*b - 18*b = q for b. -5 Let t(d) = 1 - 5*d**2 - 8 + 10*d + 6*d**2. Suppose 0 = -28*m + 11*m - 204. Let z be t(m). Solve -2*x + 21 = z for x. 2 Let m = -360 - -352. Let n be m/(-3) - (-4)/12. Solve 0*k + n = -3*k for k. -1 Let l = -118 - -114. Let d(s) = -s - 1. Let a(h) = 5*h + 10. Let j(c) = a(c) + 4*d(c). Let b be j(l). Solve 3*p - b*p + 1 = 0 for p. -1 Let h be 222*4/(-8)*-2. Let b be h/27 - 4/18. Suppose -10*m + 24 = -b*m. Solve -5*q = m - 37 for q. 5 Let g be (2 - 2911/1349) + (-1070)/(-38). Let p(y) = -3*y + 5. Let u be p(-4). Solve -g - u = -9*j for j. 5 Let r(z) = 2*z**2 - 21*z + 555. Let q be r(14). Solve -648*i = -q*i - 10 for i. -2 Suppose 0 = 10*z - 3*z - 14. Let j be 22/(-4) + (-12)/8. Let m = -5 - j. Solve -z*s + 20 = m*s for s. 5 Let y(d) = -d**2 + 8*d. Let c be y(5). Suppose 0 = 176*r - 22*r - 6930. Solve c = 6*n + r for n. -5 Let v(c) be the second derivative of -2*c**3 - 81*c**2/2 - 206*c. Let t be v(-7). Solve 0*h + t = -3*h for h. -1 Let y be (-150)/(-2625) + 5139/105. Solve -17 = 8*b - y for b. 4 Let g be 1*(8 + -6 + -2). Suppose g = -6*b - 1 + 73. Solve 8*o + b = 5*o for o. -4 Let g(t) = t**3 + 9*t**2 + 4*t - 11. Let i be g(-8). Suppose -i*z - 12 = -25*z. Suppose -h + 0*x + 8 = 3*x, 2*h + z*x = 10. Solve 4*b - 2*b + h = 0 for b. -1 Let s = 10133 + -10122. Solve -10*m + s = -39 for m. 5 Let j = -3180 + 3180. Solve j = 121*z - 130*z - 27 for z. -3 Suppose -3*b - 3*t = -36, -t - 27 = -3*b - 3. Suppose b = m - 54. Let v be (m/(-14) - -5) + (-14)/(-4). Solve v*z - 2 - 10 = 0 for z. 3 Let r be 4 + 5 + -6 - 1. Suppose r*d = 7*d + 4*d. Solve -h = -2 - d for h. 2 Suppose -3*i + y + 341 = 8, -4*y + 521 = 5*i. Solve -18*b + i = -17 for b. 7 Let p(f) = -2*f + 26*f**2 - 1 - 22*f**2 + 2*f. Let g be p(-1). Suppose 3*c - 9 = 5*z, -z - g*z = 4*c - 12. Solve -3*r - r + 12 = z for r. 3 Suppose 22*o = -21*o + 32*o + 627. Solve 68*d = o*d - 88 for d. -8 Let p(b) = b**2 - 21*b - 508. Let y be p(36). Solve -14*w + 10 = -y for w. 3 Suppose -5*c - 25 = -y, 3*y + c = -3*c - 20. Suppose y = -12*u + 10*u + 16. Let q be ((-4)/6)/((-3)/(180/u)). Solve q*o = 2*o + 9 for o. 3 Let d be -2*(-2)/(-6) + 94/141. Suppose d = 6*h + 359 - 365. Solve 3 = -o + h for o. -2 Let w(r) = -4 + 3 + r**3 + 4 - 9*r**2 + 4. Let s be (-9)/((-4 - 0)/4). Let v be w(s). Solve 9*o = v*o for o. 0 Let g be (-23)/(-3) - (-2)/(-3). Let o(y) = -y**3 - 8*y**2 + 1. Let t be o(-8). Let x be (-22 + 21)*(-13)/t. Solve g = 5*c - x for c. 4 Let q(u) = u**2 + 41*u + 24. Let z be q(-43). Suppose 4*t - 81 = i, -13*t + z = -8*t - 3*i. Solve 0 = -x + 17 - t for x. -2 Let p = -24435 - -24439. Suppose m - 4 = u, m = -5*u - 2 + 6. Suppose -2*z + 28 = -4. Solve -p*i + m = -z for i. 5 Let y = 9332 - 9271. Solve -10*s + 102 = -y*s for s. -2 Let r(w) be the third derivative of w**6/60 + 13*w**5/60 + w**4/12 + 2*w**3/3 + 6*w**2 + 3. Let k be r(-6). Solve 0 = -k*n + 27*n - 3 for n. -3 Suppose -36*i - 342 = -414. Let k(l) be the first derivative of l**4 + l**3/3 - l**2/2 - 5. Let o be k(1). Solve i*v - 8 = o*v for v. -4 Suppose 3*o - 5*h = 25, 0*o + 20 = -5*o - 4*h. Suppose o = 90*q - 96*q + 12. Solve -5*z - q = 13 for z. -3 Let r(c) = 11*c**2 + 281*c - 33. Let o be r(-28). Solve o - 720 = -a for a. -3 Let u(z) = -10*z - 11. Let r(f) = 13*f + 10. Let d(y) = -4*r(y) - 5*u(y). Let a be 1 + -2 - (-14)/2. Let i be d(a). Solve -2*t - i*t - 10 = 0 for t. -2 Suppose 38 = z - 45. Let x = z - 103. Let v be -4*(-2)/x*-15. Solve -3*f + v = -f for f. 3 Let h be 58050/35 - 9/(-14)*(-2)/(-3). Solve 1654*q = h*q - 40 for q. 8 Let v = 353 - 350. Let a(o) = o. Let x be a(2). Suppose 3*c + 7 = v*t - x, -t + 2*c + 4 = 0. Solve 3*l - t*l = 4 for l. 4 Let i(l) = -l - 5. Let h = -30 - -20. Let c be i(h). Suppose -5*o + 5 + c = 0. Solve -4*w + o = 14 for w. -3 Let q(m) = -6*m - 21. Let r be q(-6). Suppose -20 = -25*y + r*y. Solve 0 = y*x + 2*x - 4 for x. 1 Suppose 152*g = -141*g + 131850. Solve 0 = g*h - 459*h + 18 for h. 2 Let o be ((-3)/5)/3 - 64/(-20). Suppose -5*s = 5*r - 75, s = 4*r - o*s - 44. Suppose -r*v + 17*v = 4. Solve 3*l + 2 = -v for l. -1 Let r(y) = -2*y**2 + 11*y + 20. Let v be r(0). Solve -v*l = -15*l + 25 for l. -5 Let b be (-34 - -14)*26/(-20). Solve 11*a + b = -62 for a. -8 Let b be (-9)/21 - (-51760)/560. Solve -b*n = -96*n + 32 for n. 8 Let d(a) = 5*a + 92. Let g be d(-7). Suppose -12 = -2*y - 5*j, 72 - g = 5*y + 5*j. Solve -t = 4 + y for t. -5 Let b(x) = -2*x**2 + 62*x + 28. Let q be b(30). Let j be q/484 - (-392)/22. Solve 6*c + 0*c + j = 0 for c. -3 Let w be (-9)/(-63) - 90/42 - -3. Let j be ((-1)/(-3))/((-1)/(-15)). Suppose -j = -2*b - 0*b - d, -16 = -b + 4*d. Solve i + b = w for i. -3 Let s be (140/10)/(2/24). Suppose -s = 6*v - 0*v. Let l = v - -32. Solve 14 = l*b - 2 for b. 4 Let b be (-45)/6*8*18/60. Let l(m) = -m + 6. Let c be l(6). Let r = c - b. Solve 5*o = -r - 2 for o. -4 Suppose v = 2*j - 37, -5*v - 70 = -349*j + 344*j. Solve -184 + j = 23*g for g. -7 Let o(v) = -123*v - 4541. Let l be o(-37). Solve 93*n - 91*n = l for n. 5 Suppose -900 = -7*g + 906. Solve -2*r + g = 266 for r. -4 Suppose 100 = -26*a + 46*a. Suppose 3*t - 85 = a*z, t + 0*t - 3*z = 35. Solve -t = -k + 6*k for k. -4 Let z = -5252 + 5267. Solve -z*m - 30 = 15 for m. -3 Let x be (-1)/(1*4/(0 - 164)). Let f = 46 - x. Suppose w + g + 0 = f, -4*w + 5*g + 2 = 0. Solve 12 = -w*k - k for k. -3 Let n be 5/8*-6*-4. Suppose -4*u - 3 = -n. Suppose 9 + 12 = u*j. Solve 2 - j = 5*t for t. -1 Let u = -276 - -278. Suppose 7*s - u*s + 4*r - 17 = 0, 2*s + 5*r = 0. Solve 6*h - 9*h = -s*h for h. 0 Let g(s) = -s**3 + 12*s**2 + 28*s + 4. Let w(q) = q**3 - q + 14. Let t be w(0). Let d be g(t). Solve d = 5*u + 24 for u. -4 Let d be (4 - 6)/(2/53). Let t be (-25 + -2)*4/2. Let g = d - t. Solve -g + 0 = c for c. -1 Let v(w) = w**2 - 95*w + 2257. Let j be v(46). Solve j*q = -10*q for q. 0 Suppose 934 = 104*c + 550 - 3048. Solve 34 = -c*k - 98 for k. -4 Let s be (2/1)/(-1 + 2). Let w be (16/(-5))/((-10)/25). Let i be (-8)/(-18) + (-42)/(-27). Solve -i*f = s*f - w for f. 2 Suppose -22*u = -11*u - 385. Suppose q - 11 = -r - 0*r, 4*r = -q + u. Solve 3*n = -n + r for n. 2 Let a be (166/(-4))/((90/12)/(-15)). Let n = 85 - a. Solve 0 = -5*h + 3 + n for h. 1 Let m(c) = c**2 - 13*c - 7. Let l be (-4)/3*36/24. Let y be m(l). Solve 8 - y = -5*g for g. 3 Let s(r) = 2*r**2 - 107*r - 1206. Let l be s(-10). Solve 24*q + l = -8 for q. -3 Let f be -5*6*(-2)/4*1 - 0. Solve 90*l = 75*l - f for l. -1 Let l(f) = -41*f - 375. Let v be l(-11). Solve -11*n + v = 21 for n. 5 Suppose 49*w - 106 - 869 = -142. Solve -w*p + 16*p = 0 for p. 0 Let c be 2/(3/((-45)/(-10))). Suppose -3*i + 2*m - 6 = 0, m - 6 = -c*i - m. Suppose -2*b - 6 = i, 0*b + 4*b - 13 = -5*g. Solve 14 = -g*d - 6 for d. -4 Suppose -1004*f + 1029*f = 5000. Solve 15*g + 10*g = -f for g. -8 Let i(a) = 16*a - 13. Let o be i(6). Let k = o + -15. Let f = 71 - k. Solve -l - f = -4 for l. 1 Suppose 69*w - 340 = 73*w. Let g be (-697)/w + (-1)/5. Solve -g + 24 = 8*j for j. 2 Suppose 15*q = -61 + 16. Let l(r) = 3*r + 16. Let m be l(q). Solve -m*c + 2*c + 25 = 0 for c. 5 Let g(o) = -o**3 -
{ "pile_set_name": "DM Mathematics" }
pose w + 42 = d*h, -4*h + 101 + 11 = 5*w. Calculate the remainder when h is divided by 12. 11 What is the remainder when (-63)/(-2) - (-2)/4 is divided by 17? 15 Suppose 3*z - 2*w - 54 = 5*z, -2*w = -5*z - 107. Let c = z + 34. What is the remainder when 21 is divided by c? 10 Let m(j) = -j**2 - 12*j - 5. What is the remainder when m(-8) is divided by 3? 0 Let g(u) = u**3 + 9*u**2 - 9*u + 11. Let h be g(-10). Let v = 6 - h. What is the remainder when v is divided by 2? 1 Let j = 9 - 14. Let s = -1 - j. What is the remainder when s is divided by 3? 1 Suppose 2*s + 4 = -0*s. Let y = s + 6. Let a(g) = -7*g**3 + 2*g + 1. What is the remainder when a(-1) is divided by y? 2 Let p(c) = c**2 - 4*c + 4. Let r be p(7). Suppose w = -3*s + r, w - 6*s - 1 = -3*s. What is the remainder when w is divided by 7? 6 Suppose -2*m + 12 = -46. Calculate the remainder when 115 is divided by m. 28 Suppose -5*b - 3*s + 210 + 8 = 0, 0 = 4*s - 4. Suppose -w + 5*d = w - b, 4*d + 99 = 5*w. Calculate the remainder when 1 - (-55 + -1 + 2) is divided by w. 17 Suppose 191 = 5*k + 3*v + 37, -4*k + 113 = -v. What is the remainder when k is divided by 18? 11 Let j(b) = b**3 + 6*b**2 - 7*b + 7. Let a(h) = -h + 7. Calculate the remainder when j(-7) is divided by a(5). 1 Suppose 0*n - 4*n = -4*v + 248, -2*v + 128 = -3*n. What is the remainder when v is divided by 12 - (-4 + 3)*(0 - 2)? 8 Let l(p) = p**2 - 10*p - 11. Let k be l(8). Let n = k + 44. Suppose -128 = -3*z - z. Calculate the remainder when z is divided by n. 15 Let n(t) = -t**3 - 5*t**2 + 3*t + 5. Let q be n(-5). Let o = 23 + q. Calculate the remainder when 51 is divided by o. 12 Suppose b = 3*z - z - 1, 5 = 5*z. Let g = -7 + 4. What is the remainder when (-3 + b - g)/1 is divided by 1? 0 Let o = 6 - 4. What is the remainder when 4 is divided by o? 0 Suppose p + 76 = 3*p. Let h(w) = w**3 - 6*w**2 - 7*w + 13. Calculate the remainder when p is divided by h(7). 12 Let h = 8 + -5. Suppose 0 = -2*z + 2, h*p = p + 4*z + 14. Calculate the remainder when 26 is divided by p. 8 Suppose -a = -r - 0*a + 7, -r = 3*a + 13. Let h = 5 - r. Suppose -5 = -h*b + 49. What is the remainder when b is divided by 10? 8 Suppose -4*n = -7*n + 702. Calculate the remainder when 17 is divided by (-2)/(-8) - n/(-24). 7 Suppose 58 + 42 = 5*a. Suppose 2*j + 4*n - a = -0*j, 3*n - 17 = -2*j. Suppose -4*v + 20 = -j. Calculate the remainder when 11 is divided by v. 5 Suppose -4*x - 26 = -2*q, 2*q - 3*x - 23 = -0*q. Suppose 6*r - 7*r = -18. What is the remainder when r is divided by q? 4 Suppose -p = 4, 3*p + 80 = 5*v + 23. What is the remainder when 15 is divided by v? 6 Let q(r) = r**3 + 6*r**2 - 4*r - 8. What is the remainder when 29 is divided by q(-6)? 13 Suppose 6*v + 75 = 2*i + v, -3*i = -5*v - 120. What is the remainder when i is divided by 68/3 + 1/3? 22 Suppose -3*m - m = -304. Calculate the remainder when m is divided by 39. 37 Calculate the remainder when ((-2)/5)/(4/(-480)) is divided by 17. 14 Suppose -224 + 68 = -13*s. Suppose -136 = -0*q - 4*q. What is the remainder when q is divided by s? 10 Let r = -5 - -26. Calculate the remainder when 59 is divided by r. 17 Suppose -5*j = -2*v + 1, -v = -4*j + 1 - 0. Suppose -v*g + 4 = -11. Suppose 0 = g*c + 4 - 49. What is the remainder when 25 is divided by c? 7 Let x(b) = b + 9. Let n be x(-8). What is the remainder when 3 + -1 + (n - -38) is divided by 14? 13 Let a be (-48)/(-30)*10/4. Suppose 2*t + 46 = a*t. What is the remainder when t is divided by 12? 11 Suppose -6*o + 2*h - 2 = -2*o, -4*h = -3*o - 14. Suppose 2*t - 30 = 4*g, 23 = t - 4*g - o. What is the remainder when 9 is divided by t? 4 Suppose -3*n + 12 = -2*t + 2*n, 4*t + 3*n - 28 = 0. Calculate the remainder when 14 is divided by t. 2 Let q be -6*2/(-4) - 1. Let g be -3 + q + 56/2. Let r = 47 - g. What is the remainder when 58 is divided by r? 18 Suppose -3*r - 5 = -c, 3 + 9 = 4*c - 4*r. Suppose 3*n = -n - 2*l, -20 = -c*n + 4*l. What is the remainder when 4 is divided by (-1 + 2)/(n/4)? 0 Suppose 10*x - 5*x - 185 = 0. Let y(i) = i**3 - 5*i**2 + 8. Calculate the remainder when x is divided by y(5). 5 Let m(h) = 2*h**2 - 3*h - 7. Let z be m(-3). Suppose -5*i + z = t, -19 = -5*t + 3*i - i. Calculate the remainder when 13 is divided by t. 3 Suppose 5 = t - 3*n, -2*n + 5 = t - 10. Let h = t + -2. Calculate the remainder when h is divided by 5. 4 Let j(k) be the second derivative of -k**3/6 + k**2/2 + k. Let x(h) = h + 1. Let b(w) = -j(w) - 3*x(w). What is the remainder when 40 is divided by b(-9)? 12 Let n(g) = -g**2 - 15*g - 17. Calculate the remainder when 69 is divided by n(-12). 12 Suppose 5*l - 2*l + 24 = 0. Let z = l + 13. Calculate the remainder when 14 is divided by z. 4 Let s(v) = -3*v + 5. Calculate the remainder when s(-6) is divided by (-3 + 63/6)*16/20. 5 Let p = 42 + -30. Suppose 4*i - p = 2*i. Suppose -3*s - 9 = -57. Calculate the remainder when s is divided by i. 4 What is the remainder when 40 is divided by (0 - 1)/((-11)/154)? 12 Suppose -18 - 4 = -2*a. Let w be (0 - -1)/(1/6). Let c = 0 + w. What is the remainder when a is divided by c? 5 Suppose -2*c = -0 - 44. What is the remainder when 64 is divided by c? 20 Suppose q - y - y - 6 = 0, -9 = -3*q + 3*y. Suppose 0 = -q*i - 4*i - 32. Let k = i - -42. Calculate the remainder when k is divided by 18. 16 Suppose 4*u = 5*r - 44, -4*r + 19 = u - 33. Calculate the remainder when 34 is divided by r. 10 What is the remainder when 141 is divided by (-7)/(-14) + (-142)/(-4)? 33 Suppose 3*y - n + 5 = 0, y + 5*n = -3*y - 13. Let g(c) = -5*c - 4. Calculate the remainder when (-3 + y)*(-5 - 1) is divided by g(-4). 14 Let x(w) = w + 5. Let m be x(-3). Suppose h + m = 5. What is the remainder when 7 is divided by h? 1 Let c be ((-30)/(-50))/((-2)/(-190)). Suppose -5*o + 2*o = -c. Calculate the remainder when o is divided by 7. 5 Suppose -6*i + i = 3*b - 22, -4*i - 2*b + 18 = 0. Suppose 3*v = -i + 110. Calculate the remainder when v is divided by 19. 16 Suppose -3*z + 2*z + 4*r = -18, z - 24 = 2*r. What is the remainder when 87 is divided by z? 27 Suppose 5*f - 37 = 3*c - 7*c, c = -2*f + 10. What is the remainder when 21 is divided by c? 5 Suppose -o = -9 + 1. Calculate the remainder when (3 + o - -2) + 1 is divided by 4. 2 Calculate the remainder when (10/(-20))/((-2)/212) is divided by 18. 17 Suppose -x + 5*g + 18 + 3 = 0, -2*x + g = -24. Let h(l) = -15*l + 1. Calculate the remainder when h(-2) is divided by x. 9 Let b be (-12)/(-5) + 4/(-10). Suppose 5*a = 15, d - b*a - 47 = -0*a. Calculate the remainder when d is divided by 27. 26 Suppose 5*n - 351 = -4*n. What is the remainder when n is divided by 10? 9 Let k(g) = -g - 5. Let s be k(-7). Suppose -s*t - 50 = -7*t. Calculate the remainder when 29 is divided by t/(-4)*(-3 - 1). 9 Suppose 3*f - 6*g = -g + 89, 0 = -4*f + 4*g + 116. What is the remainder when f is divided by 10? 8 Suppose -4*c = -4*z - 3*c + 377, -3*z = 4*c - 278. Suppose 0 = 5*m + 14 - z. Calculate the remainder when 62 is divided by m. 14 Let b(f) = -3*f - 9. What is the remainder when ((-4)/(-12))/(4/564) is divided by b(-7)? 11 Let i = 33 - 19. Let q = 48 - 48. Suppose q*s + i = s. What is the remainder when s is divided by 5? 4 Let l be (4/(-6))/(8/(-24)). Suppose -y = -3*w + 194, 5*w - l*y - 330 = 3*y. What is the remainder when w is divided by 22? 20 Suppose -4 = -x + 3. What is the remainder when 25 is divided by x? 4 Let o(p) = p**3 - p**2 - p + 23. Suppose 0 = 3*n - 16 + 1. Suppose -b - 1 = 5*z, n - 3 = -3*z - 2*b. Calculate the remainder when o(z) is divided by 12. 11 Let q be ((-8)/(-12))/(4/18). Let i(b) = 4*b - 4. What is the remainder when 13 is divided by i(q)? 5 Let d = 140 - 137. Calculate the remainder when 33*-1*(-1)/3 is divided by d. 2 Suppose -x - 12 = 3. Let u = 51 + x. Calculate the remainder when u is divided by 13. 10 Calculate the remainder when ((-13)/(-3))/((-2)/(-6)) is divided by 7. 6 Let t be (10/(-3))/(1/9). Let z = t + 56. What is the remainder when z is divided by 9? 8 Suppose k - 4 = -0. Suppose -k*y - 2*u = -30, -5*y - u = -y - 25. Let d(f) = 2*f**2 - 4*f + 2. Calculate the remainder when y is divided by d(2). 1 Let a(i) be the third derivative of -i**4/8 - i**3/2 - i**2. What is the remainder when 45 is divided by a(-5)? 9 Suppose -2*a
{ "pile_set_name": "DM Mathematics" }
for v. 3 Solve -x + 2*b = -15, 12*x + 20 = 2132*b - 2133*b for x. -1 Solve -8*f - 20 = -z, 4*z = f + 187 - 169 for z. 4 Solve n - 8 + 11 = 4*r, 4*n = -4*r - 12 for n. -3 Solve 5*x = -u + 41, 2*x - 24*u + 29*u = -2 for x. 9 Solve w - 45 = -3*u - 62, 8*u = -2*w - 44 for u. -5 Solve l + 2*f = -9, -17*l - 2*f + 1021 = 1078 for l. -3 Solve 1428*p = 1427*p + g - 10, 2*g - 5 = -p for p. -5 Solve -122*l - 30 = -125*l - 2*q, l = -5*q + 75 for l. 0 Solve -39 = -5*t - 218*k + 214*k, t = k + 6 for t. 7 Solve 18*v - 33 = 51*r - 54*r, 2*r - 3*v + 8 = 0 for r. -1 Solve -u - j + 1 = 0, 5*u + 124*j - 9 = 121*j for u. 3 Solve 4*w = 40*x - 168, -14*w + 18 = -17*w + 3*x for w. -2 Solve -3*t + 8 = -t, -7*t = 2*q - 28 for q. 0 Solve -4*u - 7 = -h, -8*h + 21 = -5*u - 5*h for u. 0 Solve -5*f - 39 = -3*d, -2521*d - 9*f = -2525*d + 73 for d. -2 Solve 0 = 2*a, -n + 4*a = 2*n - 5*n + 4*n + 2*a for n. 0 Solve 32 = 4*g + 2*j - 12 + 18, 0 = 4*j + 12 for g. 8 Solve 50 = 4*h - 5*y, 0 = -319*y + 328*y - 18 for h. 15 Solve 692 - 1368 = -h + 4*n - 697, h + 4*n - 19 = 0 for h. -1 Solve 2106*p + 4*r - 38 = 2101*p, -7*p - 5*r + 49 = 0 for p. 2 Solve -c + 5 = -3*x, 0 = -7*x + 12*x for c. 5 Solve 12 = -4*x + 4*s, -3*s - 11 + 29 = 5*x + 9 for x. 0 Solve 0 = -v + 3*c + 96 - 71, c = 2*v for v. -5 Solve -4*h = 2*d + 40, 11*h + 4782*d - 4784*d + 125 = 0 for h. -11 Solve 5*g - i = -9, -12631*g = -12635*g + i - 7 for g. -2 Solve -2*c + 18 = -5*l, 19*c + 6*l - 4 = 15*c for c. 4 Solve -t = -k + 9, 803*k = 800*k + 42 for t. 5 Solve -g - 2*q = 0, -2*g - 9*g = -2*g + 4*q for g. 0 Solve q - 8*u = -13, 25*u - 29*u + 9 = -q for q. -5 Solve -4*n - 5 = 31*k - 34*k, 7*k + 3*n = 24 for k. 3 Solve 0 = -4*u + 6*u - 4*l + 40, -5*l + 50 = 11*u for u. 0 Solve -w = 4*b + 16, 30*w = b + 32*w + 11 for b. -3 Solve 2*h = 7*n + 89 - 94, 29 = -5*h + n for h. -6 Solve -3*b - 33*g = -35*g + 7, 3*b = -3*g + 18 for b. 1 Solve -6*v = -l + 7, 3*v + 2*l = 45 - 46 for v. -1 Solve 458 = 4*m - 3*i + 472, 0 = -3*m - i + 22 for m. 4 Solve a + 0 = -5*d + 2, 190 = -24*a - d for a. -8 Solve 0 = -3*j + 5*s - 76, -2*j - 843 = 3*s - 881 for j. -2 Solve -2*o = 2*t - 1313 + 1305, -o + 4*t = 11 for o. 1 Solve 4*a + 9 = -s, -s = -26*a + 23*a + 2 for s. -5 Solve 6*c - 64 = -2*v, 5*c - 23 = 22 for v. 5 Solve 3*r + 4 = k, 23*k + 5*r = 26*k + 8 for k. -11 Solve 4*a - 12 = 57*j - 54*j, 20 = -5*j for a. 0 Solve 4*b + 20 = 4*o, 2*b = -5*o + 133 - 108 for b. 0 Solve 0 = t - 2*q + 5, -t + 149 = -3*q + 157 for t. 1 Solve 0 = d + 2*b - 7, 808*b = 3*d + 806*b + 19 for d. -3 Solve -50*r - c - 7 = -99*r + 48*r, 4*c = 3*r - 26 for r. 2 Solve -5*o = -3*g + 81 + 62, -53 = 3*g + 2*o for g. 1 Solve -4*o = 340*p - 344*p - 24, 3*o = 4*p + 21 for o. 3 Solve -11*g + 7*g + 34 = 9*f, -2*g = -4*f for f. 2 Solve c = -3*o + 10, c + 2*o - 104 = -98 for c. -2 Solve 34 = 2*c + 3*y + 9, -11*y + 50 = 7*c - 8*y for c. 5 Solve 2*n + 20 = -5*k + 11, -6*n = 4*k - 28 for k. -5 Solve 4*q + 5*s = -15, 0 = q + 181*s - 183*s - 6 for q. 0 Solve -197*n + 200*n + 51 = -5*a, 36 = -4*a - 2*n for a. -3 Solve 3*g - p + 1 = 0, -9 = -3*g - 38*p + 41*p for g. -2 Solve 5*p - 2*g - 24235 = -24204, 5*p - 5*g = 40 for p. 5 Solve -5*m = -10*x - 5 + 35, -4*x = -3*m - 14 for m. -2 Solve -4*c + 3*u + 1 = 0, -5*c = -5*u + 56 - 51 for c. 4 Solve -18*w = -16*w + 8, -4*w - 11 = l for l. 5 Solve 6*i + 10 = 4*f, 10*f + 14 = -8*i + 15*f for i. -3 Solve -5*a = 25, -c - 15 + 26 = -2*a for c. 1 Solve 5 = 16249*j - 16245*j - l, -l + 3 = 0 for j. 2 Solve -20 = 5*k, -44*k + 45*k + 24 = -4*y for y. -5 Solve 0 = 5*b - 2*h - 6, -2*b + 6*b + h - 10 = 0 for b. 2 Solve -7*i + 7*r + 4 = -8*i, -3*i = 4*r + 12 for i. -4 Solve -34 = 41945*c - 41947*c + 3*f, 0 = -3*c - 3*f - 39 for c. -1 Solve 2*v + 5*h = 65191 - 65164, 5*v + 4*h - 25 = 0 for v. 1 Solve 4*l = -4*i - 818 + 846, i = 3*l - 13 for i. 2 Solve 2*y - 70*r = -72*r - 10, -12 = 4*r for y. -2 Solve 0 = 7*y - 3*p + 27, 2*p + 0*p - 16 = -22*y + 26*y for y. -3 Solve -5*w - 7*x + 201 = 0, -30 = 137*w - 139*w - x for w. 1 Solve 3*r + 26 = -5*p, -r - 9*p = -10*p - 2 for r. -2 Solve -1091*z + 77 = -1088*z + 4*a, 4*z - 2*a = -44 for z. -1 Solve 2*m = 11*n - 92, -1444*n = -1449*n - 4*m + 32 for n. 8 Solve 0 = y - 2*i + 11, 2*y - 5*i - 5 = -20 - 12 for y. -1 Solve -3*r + 6*r - 8 - 4 = 0, -r + 2 = -f for f. 2 Solve 2*s + 23 = -47*b + 52*b, -2*s = 15*b - 37 for s. -4 Solve 2*d - 7 = 6*c - 11*c, 0 = 5*d - 2*c + 26 for d. -4 Solve -19*z + 4*g = -22*z + 16, 5*g = 3*z + 20 for z. 0 Solve 5*z - 6099 = -4*n - 6087, -5*n + 8*z = 42 for n. -2 Solve -4*u + 28 = -3*w, -u + 5*w + 7 = -17 for u. 4 Solve 11*z = -5*l - 0*l - 51, -2*z - 6 = 2*l for z. -6 Solve 1 = -i + 2*v, 5*v = -i + 245 - 260 for i. -5 Solve 7*d - 49 = -38*f + 34*f, -7*f - d + 52 = 0 for f. 7 Solve 5*o + 44 = 4, -3*k = -o + 1 for k. -3 Solve -5*d - 2 = 2*a, 0 = -4*d - 4281*a + 4288*a - 36 for d. -2 Solve 0 = -5*g + 10, 19*u = 22*u - 4*g + 23 for u. -5 Solve 0 = -5*n + 4*c + 24, 347*c + 22 = 4*n + 341*c for n. 4 Solve -15*v = -5*i - 39 - 16, -2*i - 398 = -388 for v. 2 Solve 2*n + 14 = -2*f, -4*f + 123 = n + 121 for f. 3 Solve -4*l + 3*c = 16, 4 = 84*l - 85*l - 4*c for l. -4 Solve -65*m + 66*m - 17 = -5*g, 4*m - 3*g = 22 for m. 7 Solve -13 = t - 5*r, 68 - 45 = 4*t + 5*r for t. 2 Solve 3*a + 12 = 15*t, -a - 61 = 4*t - 48 for t. -1 Solve 5*h = 3*f + 28, -81*h + 85*h - 2*f - 18 = 0 for h. -1 Solve 5867 - 5853 = 4*j + 2*q, 4*q + 24 = 5*j for j. 4 Solve 613*y + 4*z = 618*y + 9, -3*y - 6 = -3*z for y. -1 Solve 4*h = -5*l + 24, -1462*l + 1466*l = 3*h - 18 for l. 0 Solve 0 = 12*t - 8*t - 3*o + 72, 3*t + 57 = 3*o for t. -15 Solve 0 = -4*o + 5*c - 15, -2*c + 1438 = -5*o + 1415 for o. -5 Solve 5*z + 2*f = -1, -4*z - 79 + 86 = -f for z. 1 Solve -5 = -n + 2*x, -15944*n = -15946*n - x + 10 for n. 5 Solve -2*x + 4*f - 62 = 16*x, -3*x + f - 8 = 0 for x. -5 Solve -l - 9 = -5*j, 6*l + 20 = l for j. 1 Solve -2*h = -3*c + 23, 2*c + 1090*h = 1088*h + 2 for c. 5 Solve -5*u - 2*q - 109 = -94, -5*u = 5*q for u. -5 Solve -4*u - 3*m = 30, 106 = 12*u - 8373*m + 8368*m for u. 3 Solve 5*d + 19 = 3*f, 3*f - 4*d - 29 = -12 for f. 3 Solve 4*w + 5*g = -71 + 16, 2*g + 39 = -5*w for w. -5 Solve 17902*v - 2 = 17903*v + 2*s, 5*s + 10 = 0 for v. 2 Solve -5*g = -42*d + 39*d - 3, 11*g - 7 = 2*d + 6*g for d. 4 Solve -5*f = 3*t - 25, 3*f - 2 = 7*f - 2*t for f. 2 Solve -5*l - 15 = -18*b + 23*b, 3*b + 4*l + 8 = 0 for b. -4 Solve -3*l = -h + 4861 - 4859, 0 = 3*h - 2*l + 8 for h. -4 Solve 6*f + 2*o = -14, -2*f + 817*o = 820*o + 14 for f. -1 Solve 5*u - 4*q = -5, -71*u + 2*q + 5 = -70*u for u. -5 Solve 3*i + 5*l = 17, 4*i + 5*l - l - 20 = 0 for i. 4 Solve 5*a - 23 = j, -a + 1817 = 5*j + 1802 for j. 2 Solve 3*t + 14 + 10 = -3*h, -6*h - 4*t - 58 = 0 for h. -13 Solve 0 = -r - 3*n - 20, 223*n - 225*n = 2*r + 40 for r. -20 Solve 3*z = 2*p - 5, 11*p - 15*z = -17*z + 9 for p. 1 Solve 2*c = -9*k - 298 + 228, -4*k - 3*c - 29 = 0 for k. -8 Solve 0 = 2*r - k - k, 3 + 9 = 4*k for r. 3 Solve 74 = -4*j + 2*x + 84, 3 = 3*x for j. 3 Solve 2*j = -8*x - 40, -47*j = -46*j for x. -5 Solve 5*y = 5*l + 10, -8*y + 3 = -12*l + 17*l for y. 1 Solve 2*f - 25 = 32*w - 41*w, 0 = 4*f + 4*w - 8 for f. -1 Solve 59 = -9*r + 5*j, -257*r - 11 = -255*r + j for r. -6 Solve -569*v + 3 = -568*v, 3*c + 7*v - 12 = 0 for c. -3 Solve 4*m = -19*g + 24*g + 43, -2*g = -4*m + 22 for m. 2 Solve -5*w + 2*p - 3 = 0, 856*p + 3 = -w + 857*p for w. 1 Solve 4*y - 1216610*o + 16 = -1216605*o, 0 = -7*y - 3*o - 28 for y. -4 Solve -3*f = -8*f + 2*a + 8, 5*a - 5 = 0 for f. 2 Solve -3*x - 10 = 2*x, -34*g = 5*x - 1265 + 1411 for g. -4 Solve z + w + 4 = 0, -237*z = -232*z + w + 28 for z. -6 Solve -2*i - 15 = -t - 24, 5*t = i for i. 5 Solve -2*l = 236106*b - 236111*b + 19, -l + 4 = 2*b for l. -2 Solve 5*d = -7*b + 8*b - 33, 3*b - 5*d = 29 for b. -2 Solve l + 284*r = 288*r + 15, 5*l = -4*r - 45 for l. -5 Solve 0 = -b + 3*b + 1777 - 1759, 80 = -7*h - 5*b for h. -5 Solve 0 = -43*c + 48*c - 4*h + 20, 20 = -3*c + 4*h for c. 0 Solve y + t + 56 = 59, t = 5*y - 15 for y. 3 Solve -100*s + 104*s - 2 = -2*j, 2*s = 6 for j. -5 Solve -w - 20 = 2*q, 420*w - 414*w - 5*q = -86 for w. -16 Solve -5*o + 8*u = 156, -68 = 3*o + 5*u - 141 for o. -4 Solve -4*b + 28 = -c - 33 + 54, 7 = -4*b + 15*c for b. 2 Solve 4 = -2*v + 4*u, -5*u + 589 = 4*v + 5
{ "pile_set_name": "DM Mathematics" }
18/1001 Two letters picked without replacement from {x: 2, p: 1}. Give prob of picking 1 p and 1 x. 2/3 Four letters picked without replacement from {n: 2, v: 5, q: 1, o: 1, b: 2, y: 2}. Give prob of picking 1 v, 1 y, and 2 b. 2/143 Two letters picked without replacement from {e: 7, n: 7}. Give prob of picking 2 e. 3/13 What is prob of picking 1 g, 1 b, and 1 r when three letters picked without replacement from rmqnnqgrgbqbgb? 9/182 What is prob of picking 1 y, 1 a, and 2 d when four letters picked without replacement from dbpjadypy? 1/63 Two letters picked without replacement from {z: 1, l: 2, v: 2, f: 1, h: 14}. What is prob of picking 2 v? 1/190 Calculate prob of picking 1 b and 1 n when two letters picked without replacement from {n: 2, b: 1, q: 4}. 2/21 What is prob of picking 2 z and 2 l when four letters picked without replacement from {l: 4, z: 16}? 48/323 Two letters picked without replacement from {w: 7, f: 6, u: 1, l: 1, o: 2}. What is prob of picking 1 u and 1 l? 1/136 Two letters picked without replacement from {q: 2, j: 1, y: 1, l: 6, k: 1, b: 5}. Give prob of picking 2 l. 1/8 Four letters picked without replacement from {o: 3, a: 9}. Give prob of picking 1 a and 3 o. 1/55 Three letters picked without replacement from qvqvzvqzqkkjqvqz. Give prob of picking 2 v and 1 q. 9/140 Calculate prob of picking 1 t and 1 p when two letters picked without replacement from tppttppppp. 7/15 Calculate prob of picking 2 h and 2 j when four letters picked without replacement from jhgghhgghgjjhgj. 4/91 Three letters picked without replacement from {g: 2, r: 3, t: 1, v: 4, m: 4}. What is prob of picking 1 g and 2 r? 3/182 Three letters picked without replacement from {h: 8, k: 5, s: 2, r: 4}. What is prob of picking 3 r? 4/969 Calculate prob of picking 3 m when three letters picked without replacement from {b: 1, m: 9, g: 4, a: 3, u: 1}. 7/68 Calculate prob of picking 2 q and 1 o when three letters picked without replacement from {o: 4, q: 4, r: 1, m: 2, e: 4, d: 5}. 2/95 Three letters picked without replacement from {h: 5, b: 2, i: 3}. What is prob of picking 2 h and 1 b? 1/6 Calculate prob of picking 2 v when two letters picked without replacement from mvmvmmvm. 3/28 What is prob of picking 2 f when two letters picked without replacement from {c: 1, x: 4, f: 8}? 14/39 What is prob of picking 4 e when four letters picked without replacement from lelteleeels? 1/66 Four letters picked without replacement from appapppapppppapa. What is prob of picking 4 a? 1/364 Three letters picked without replacement from qqtxtxtqqxqxx. Give prob of picking 1 x and 2 t. 15/286 Four letters picked without replacement from xuxxxuxuxxuux. Give prob of picking 4 u. 1/143 What is prob of picking 1 c and 2 r when three letters picked without replacement from cirrcccccxixxxxxcxri? 7/380 Four letters picked without replacement from {j: 4, h: 7}. Give prob of picking 3 j and 1 h. 14/165 Two letters picked without replacement from {n: 1, g: 4, a: 9, x: 1, s: 2}. Give prob of picking 1 x and 1 n. 1/136 What is prob of picking 1 j and 1 s when two letters picked without replacement from szszjzzbsjuzz? 1/13 Calculate prob of picking 1 b and 1 y when two letters picked without replacement from yybbbbbybbbbbbbbbb. 5/17 Four letters picked without replacement from {q: 6, c: 2}. Give prob of picking 4 q. 3/14 Calculate prob of picking 3 v and 1 a when four letters picked without replacement from {h: 9, v: 3, a: 4}. 1/455 Two letters picked without replacement from inioomjoilojjii. What is prob of picking 1 n and 1 l? 1/105 Three letters picked without replacement from ryrrqryyrrqryqry. What is prob of picking 2 r and 1 y? 1/4 Two letters picked without replacement from {v: 1, z: 1, i: 2, e: 2, h: 1}. What is prob of picking 1 e and 1 h? 2/21 Calculate prob of picking 1 h and 2 y when three letters picked without replacement from hhhhhyyhyyk. 12/55 Four letters picked without replacement from uiuucuubbuuccuuu. Give prob of picking 3 c and 1 b. 1/910 What is prob of picking 1 w and 1 t when two letters picked without replacement from rntltwlwrwwwtwlwt? 7/34 Two letters picked without replacement from iiviivtti. Give prob of picking 1 t and 1 v. 1/9 Calculate prob of picking 1 o and 1 s when two letters picked without replacement from {o: 7, s: 3}. 7/15 Two letters picked without replacement from cccc. What is prob of picking 2 c? 1 What is prob of picking 2 u when two letters picked without replacement from uuu? 1 Four letters picked without replacement from qbhbhzbbzbbbb. What is prob of picking 2 z, 1 q, and 1 h? 2/715 Three letters picked without replacement from {n: 2, r: 4, t: 2, u: 3, k: 3, e: 2}. Give prob of picking 3 u. 1/560 What is prob of picking 1 t and 1 h when two letters picked without replacement from aphtk? 1/10 What is prob of picking 1 z, 1 h, and 1 f when three letters picked without replacement from {j: 3, r: 5, f: 1, o: 5, h: 2, z: 4}? 2/285 Two letters picked without replacement from dyqqyrdydrvqyyqd. Give prob of picking 1 r and 1 v. 1/60 What is prob of picking 1 q and 2 h when three letters picked without replacement from {z: 1, q: 5, h: 5}? 10/33 Calculate prob of picking 2 w when two letters picked without replacement from {h: 4, f: 1, w: 6}. 3/11 Two letters picked without replacement from {p: 3, t: 2, m: 2, y: 2}. What is prob of picking 1 t and 1 y? 1/9 Four letters picked without replacement from dnnndd. What is prob of picking 3 n and 1 d? 1/5 What is prob of picking 2 d and 1 q when three letters picked without replacement from {q: 3, d: 4}? 18/35 What is prob of picking 1 u and 1 a when two letters picked without replacement from {u: 1, l: 6, i: 1, a: 1, s: 3, n: 5}? 1/136 Two letters picked without replacement from vvvvivvvxivvvx. Give prob of picking 2 v. 45/91 Three letters picked without replacement from {b: 2, f: 2, u: 2, g: 1, z: 1, r: 1}. What is prob of picking 1 g and 2 b? 1/84 Two letters picked without replacement from {f: 2, u: 5, t: 2}. Give prob of picking 1 f and 1 u. 5/18 Three letters picked without replacement from umuubuuymuummbu. What is prob of picking 1 u and 2 m? 48/455 Calculate prob of picking 2 s, 1 v, and 1 f when four letters picked without replacement from cvssfccvc. 1/63 Four letters picked without replacement from {j: 8, x: 2, i: 1, d: 4}. Give prob of picking 2 j and 2 d. 8/65 Three letters picked without replacement from {l: 3, c: 4}. Give prob of picking 2 c and 1 l. 18/35 Two letters picked without replacement from {w: 2, z: 1, g: 1, d: 1}. Give prob of picking 1 w and 1 d. 1/5 Calculate prob of picking 2 q and 2 v when four letters picked without replacement from qwwivvivqvvlqmqvww. 1/34 Two letters picked without replacement from ggybh. What is prob of picking 2 g? 1/10 Calculate prob of picking 1 g and 2 j when three letters picked without replacement from jpggjtttbdbt. 1/110 What is prob of picking 2 i and 2 r when four letters picked without replacement from {r: 3, i: 6, n: 8}? 9/476 Calculate prob of picking 1 b and 1 f when two letters picked without replacement from ffllflffllbfllflflf. 1/19 Calculate prob of picking 3 q when three letters picked without replacement from qqqqqq. 1 Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {e: 7, m: 5, f: 5, a: 1}. 5/153 What is prob of picking 1 h and 1 m when two letters picked without replacement from {a: 2, x: 3, h: 2, q: 2, m: 2, n: 1}? 2/33 What is prob of picking 3 m when three letters picked without replacement from {z: 13, m: 3}? 1/560 Four letters picked without replacement from uxuoxuguoxg. Give prob of picking 1 u, 2 o, and 1 x. 2/55 Three letters picked without replacement from {e: 1, m: 7, u: 7, x: 1}. Give prob of picking 2 u and 1 x. 3/80 Four letters picked without replacement from {f: 2, j: 3, w: 1, v: 1, m: 6}. What is prob of picking 1 m, 2 j, and 1 v? 18/715 What is prob of picking 2 x and 1 o when three letters picked without replacement from {o: 3, x: 8}? 28/55 What is prob of picking 3 l and 1 q when four letters picked without replacement from qqlqlqllqq? 4/35 What is prob of picking 1 p and 1 w when two letters picked without replacement from {q: 5, p: 4, g: 1, w: 3}? 2/13 Four letters picked witho
{ "pile_set_name": "DM Mathematics" }
of g**2 - g + 6. Let i(f) = -l(f) + 5*v(f). Let m(o) = -2*o. Give i(m(p)). -4*p - 5 Let u(k) = 75*k**2 - 6*k - 1. Let n(q) = 81*q - 8. Calculate u(n(b)). 492075*b**2 - 97686*b + 4847 Let m(j) = 2*j + j - 1684*j**2 + 1683*j**2 - 3*j. Let a(x) = -2*x - 193. Let t(k) = 2*k + 188. Let w(f) = -3*a(f) - 4*t(f). Determine w(m(r)). 2*r**2 - 173 Let a(s) = 114*s**2 - 2. Let x(t) = 287*t**2 - 91*t - 3822. Let k(c) = 19*c**2 - 6*c - 252. Let q(b) = 91*k(b) - 6*x(b). What is q(a(j))? 90972*j**4 - 3192*j**2 + 28 Let n(j) = 0 - 5 - 2480703*j**2 + 2480799*j**2. Let x(o) = 8*o. Determine x(n(b)). 768*b**2 - 40 Let b = 7 - 5. Let a(i) = i + 3*i + b*i. Let j(c) = -3*c**2 - 7*c + 1. Let g(n) = 16*n**2 + 35*n - 5. Let q(h) = -g(h) - 5*j(h). Determine a(q(o)). -6*o**2 Let d(m) = 2*m**2 - 137*m. Let k(q) be the first derivative of -11*q**2/2 - 3731. Give d(k(a)). 242*a**2 + 1507*a Let t(s) = 14*s**2 - 154*s + 154*s - 74*s**2 - 16. Let i(u) = 2*u**2. Calculate t(i(g)). -240*g**4 - 16 Let p(t) = -3449734*t**2. Let l(m) = 2*m. Give p(l(u)). -13798936*u**2 Let c(x) be the first derivative of -3*x**2/2 + x - 3. Let d(v) = -31*v + 99. Let f(t) = -72*t + 231. Let r(o) = -7*d(o) + 3*f(o). Calculate r(c(h)). -3*h + 1 Suppose 14*l + 188 = 18*l. Let j(o) = l*o - 146*o + 14*o. Let u(x) = -2*x. Determine j(u(i)). 170*i Let y(c) = -19*c**2. Let l(q) = 3508*q**2 + q - 1. Calculate l(y(t)). 1266388*t**4 - 19*t**2 - 1 Let l(m) = -337*m**2 - 175*m - 1. Let s(z) = -10*z - 1. What is s(l(h))? 3370*h**2 + 1750*h + 9 Let m(p) = -1356*p + 1450. Let l(x) = -x**2 - 61. Calculate m(l(g)). 1356*g**2 + 84166 Let f(z) = 4*z. Let a(t) be the second derivative of 7*t**5/60 - t**3/3 + 29*t**2/2 + t + 1. Let q(p) be the second derivative of a(p). Determine q(f(y)). 56*y Let t(w) = 845*w. Let d(i) = 179*i**2 + 14*i. Let a(z) = -230*z**2 - 18*z. Let b(p) = 14*a(p) + 18*d(p). Give b(t(j)). 1428050*j**2 Let v(g) = -23*g + 3. Let o(x) = -9*x**2 - 29*x - 42. Let u(a) = -4*a**2 - 13*a - 18. Let k(z) = -6*o(z) + 14*u(z). Calculate v(k(t)). 46*t**2 + 184*t + 3 Let v(d) = 73*d**2 - 40*d. Let m(a) = 1606*a**2 - 876*a. Let u(s) = -10*m(s) + 219*v(s). Let o(y) = -8*y**2. Determine o(u(i)). -42632*i**4 Let d(b) be the first derivative of 9*b**2/2 + 3*b + 21. Let r(m) be the first derivative of m**2 - 20. Determine r(d(u)). 18*u + 6 Let l(n) = 21*n. Let m be ((-12)/36)/((-1)/75). Suppose -2*a = -o + a + m, -5*a + 25 = 0. Let q(p) = o - 40 + 2*p. Determine q(l(d)). 42*d Let q(g) be the third derivative of 0*g**3 + 1/12*g**4 + 2 + 0*g + 7*g**2. Let t(b) = 37*b**2 + 1. What is t(q(j))? 148*j**2 + 1 Let z(h) be the first derivative of 2*h**2 - 2. Let y(p) be the first derivative of 0*p + 0*p**2 - 2/3*p**3 - 194. Give y(z(t)). -32*t**2 Let w(r) = -13*r - 6. Let m(v) = v - 3. Let b(d) = 2*m(d) - w(d). Let k(g) = -38*g**2 - 36*g**2 + 75*g**2. What is b(k(x))? 15*x**2 Let r(d) = 133*d. Let z(c) = 2135*c**2. What is r(z(j))? 283955*j**2 Let w(b) = -2*b**2. Let y(a) = 3268231*a**2. What is w(y(q))? -21362667738722*q**4 Let h(k) = -4231243*k. Let y(g) = 38*g + 2. Calculate y(h(q)). -160787234*q + 2 Let y(z) be the third derivative of 12*z**5/5 - z**4/12 + 3*z**2 + 192. Let s(q) = -2*q**2. Determine y(s(i)). 576*i**4 + 4*i**2 Let a(g) = -2*g. Let h(n) = -26402168*n. Determine h(a(k)). 52804336*k Suppose 1 = -k + 4*t + 56, 5*k - 3*t = 258. Suppose -14*o = -11*o - k. Let v(s) = 33*s**2 - o*s**2 - 17*s**2. Let q(x) = -64*x. What is q(v(a))? 64*a**2 Let b(x) = x**2 + 204*x. Let k(f) = -163*f - 15. Let h(c) = 225*c + 21. Let s(u) = -5*h(u) - 7*k(u). Determine b(s(r)). 256*r**2 + 3264*r Let q(j) = -32*j. Let f(g) be the second derivative of 0*g**3 + 0*g**2 + 4 - 1/4*g**4 - 7*g. Determine q(f(x)). 96*x**2 Let b(c) = -515*c - 10. Let l(x) = -99*x - 2. Let i(f) = -b(f) + 5*l(f). Let a(n) = -9 - n + 9. What is a(i(r))? -20*r Let d(i) = -9*i**2. Let y(c) = -108*c**2 - 14716*c - 1. Calculate y(d(h)). -8748*h**4 + 132444*h**2 - 1 Let z(w) = w. Let k be 7 - 1*1/1. Let f(j) = -3*j + 20. Let c be f(k). Let d(t) = 9*t**c + 11*t**2 + 0*t**2. Give z(d(q)). 20*q**2 Let q(f) = -75*f**2 - f - 66. Let o(b) = 2*b - 89. Calculate o(q(c)). -150*c**2 - 2*c - 221 Let y(z) = 12074*z**2 + 2*z + 49. Let a(s) = -10*s. Determine a(y(t)). -120740*t**2 - 20*t - 490 Let a(q) = q**2. Let h(r) = -9450868*r**2. What is h(a(c))? -9450868*c**4 Let n(i) = 2095*i. Let f(h) = 5884*h. What is n(f(l))? 12326980*l Let i(v) = -6*v. Let s(c) be the third derivative of -13*c**8/20160 + c**5/5 - c**3/6 - 79*c**2. Let w(d) be the third derivative of s(d). Determine i(w(b)). 78*b**2 Let r(v) = 403*v**2 - 170*v**2 - 232*v**2. Let a(i) = 24*i**2 + 8*i. Give r(a(l)). 576*l**4 + 384*l**3 + 64*l**2 Let m(i) be the third derivative of -11*i**4/12 - 7*i**2. Let o(h) = 13*h - 61*h + 37*h + 16*h. What is m(o(g))? -110*g Let t(u) = -4*u. Let a(w) be the third derivative of -65*w**4/24 + w**3/2 + 4359*w**2. Determine t(a(s)). 260*s - 12 Let q(g) = 4*g**2 - g. Let x(u) = -346 - 12 - 2*u + 358. Calculate q(x(h)). 16*h**2 + 2*h Let j(p) be the first derivative of -p**2/2 - 1. Let m(q) = -757*q + 22. Let h(x) = 8600*x - 250. Let b(r) = -11*h(r) - 125*m(r). Determine b(j(k)). -25*k Suppose -3*x + 3*p = -9, -2*x + 9*p = 8*p - 5. Let n(h) = 13*h**2 - 52*h**2 + 30*h**x. Let u(t) be the third derivative of -t**4/12 - 2*t**2. Calculate u(n(d)). 18*d**2 Let h(u) = 77*u + 3. Let r(a) = 59*a + 2. Let t(p) = -2*h(p) + 3*r(p). Let v(d) = -58*d**2 - 1. Determine v(t(k)). -30682*k**2 - 1 Let t(l) = -4*l**2. Let n(o) = 3*o**2 - 2*o + 2. Let x(d) = -7*d**2 + 6*d - 5. Let s(u) = 3*n(u) + x(u). Determine t(s(w)). -16*w**4 - 16*w**2 - 4 Let f(x) = -181*x**2 + x. Let n(i) = -15*i**2 + 20*i - 20. Let z(p) = 2*p**2 - 3*p + 3. Let u(m) = -3*n(m) - 20*z(m). Determine f(u(r)). -4525*r**4 + 5*r**2 Let o(m) = -29316531*m**2. Let y(c) = -c. Determine o(y(r)). -29316531*r**2 Suppose p - 5*l + 1 = 0, 20*p - 17*p = 3*l + 33. Let o(h) = 4*h - p*h + 6*h. Let b(d) = 3*d. Give o(b(k)). -12*k Let l(q) = -3*q**2. Let g(v) = 3236*v + 8. Let h(k) = 6468*k + 20. Let o(u) = -5*g(u) + 2*h(u). Determine o(l(c)). 9732*c**2 Let n(l) be the first derivative of -l**2/2 - 67. Let x(p) = -4965*p**2. Determine n(x(t)). 4965*t**2 Let l(q) = -186*q**2. Let h be (2 - -2) + -5 + (-3 - -6). Let d(z) = -21*z**2 - 14*z**2 + 44*z**2 - 11*z**h. Give l(d(g)). -744*g**4 Let r(y) = -2*y - 4. Let k(o) = -196*o**2 - 2*o - 9. Calculate r(k(x)). 392*x**2 + 4*x + 14 Let j(a) = -572316*a**2. Let r(k) = -26*k**2. Give r(j(y)). -8516185700256*y**4 Let s(u) = -2*u. Let y(g) = 2521*g + 30. Let t(m) = 849578*m + 10104. Let h(q) = -5*t(q) + 1684*y(q). Give h(s(k)). 5052*k Let k(m) = -3*m - 4. Let n(h) = 35*h + 50. Let c(u) = 50*k(u) + 4*n(u). Let o be -1*3*(-60)/36. Let q(g) = -o*g + 0*g + 6*g + g. Determine q(c(v)). -20*v Let d(v) = 5*v**2. Let g(s) = -248*s**2 - 90. Let l(b) = -3*b**2 - 5. Let p(r) = 2*g(r) - 36*l(r). Determine d(p(k)). 752720*k**4 Let y(h) = -75*h**2. Let n(z) = 549*z**2 - 90*z + 180. Let o(m) = 25*m**2 - 4*m + 8. Let l(f) = -2*n(f) + 45*o(f). What is l(y(v))? 151875*v**4 Let i(x) be the first derivative of -x**3/6 - 48*x - 74. Let o(l) be the first derivative of i(l). Let z(d) = 4*d. Determine z(o(h)). -4*h Let l(p) = -3113*p. Let g(n) be the first derivative of -n**3/3 - 735. Give g(l(c)). -9690769*c**2 Let d(u) = -33*u. Let z = 466 - 158. Let q(c) = -z*c**2 + 311*c**2 - 1 + 1. Calculate d(q(k)). -99*k**2 Let l(g) = 2*g**2. Let s(y) = 120813*y**2 + 1. Calculate s(l(a)). 483252*a**4 + 1 Let w(f) be the first derivative of -f**3 + 114. Let j(h) = 882*h**2. Give w(j(q)). -2333772*q**4 Let g(m) = 2*m**2 + m. Let a(s) = 244*s**2 - 44*s. Let y(d) = 2*a(d) + 88*g(d). Let x(z) = z. What is y(x(n))? 664*n**2 Let a(z) be the second derivative of 0*z**3 + 0 + 0*z**2 + 37*z + 1/12*z**4. Let c(d) = 9*d. Determine a(c(x)). 81*x**2 Let l(p) = 801*p. Let j(k) = -7*k**2 + 71*k + 6. Give j(l(r)). -4491207*r**2 + 56871*r + 6 Let m(q) = -555*q. Let a(l) = 26975*l**2. Determine a(m(t)). 8308974375*t**2 Let j(g) = 6079*g**2. Let h(d) = -172600094*d - 2*d**2 + 172600094*d. Give j(h(i)). 24316*i**4 Let u(j) = 98*j + 30. Let a(p) = 150*p + 48. Let q(r) = 5*a(r) - 8*u(r). Let o(t) = -2*t**2 - 29. Calculate q(o(l)). 68*l**2 + 986 Let d be (48/(-16))/((-6)/4). L
{ "pile_set_name": "DM Mathematics" }
**(-2/3)*((l*l**(1/6))/l)/(l*l*l**4*l) assuming l is positive. l**(-41/6) Simplify (h/h**1)**(-6)/(h**(-6)/(h/(((h*h**(-6))/h)/h*h))) assuming h is positive. h**13 Simplify a**(-26)/a**(-1/31) assuming a is positive. a**(-805/31) Simplify (f*f*f**(3/5))**(4/15) assuming f is positive. f**(52/75) Simplify (g/g**(-16)*g**(-6))**(-1/32) assuming g is positive. g**(-11/32) Simplify (a**0*a*a/a**(-1/8))/(a**4/((a**5/a)/a)) assuming a is positive. a**(9/8) Simplify ((((j*(j*(j*j**(-7))/j)/j)/j)/j*j*j)/(j*j*j**(-9)*j))/(j**(-2/27)/j*j**(-1)) assuming j is positive. j**(56/27) Simplify ((k**(-2/5)/k)/k)**(-29) assuming k is positive. k**(348/5) Simplify p*p**9*p*p*p**(-5/4)/p*(p*p**(-1))**(-9) assuming p is positive. p**(39/4) Simplify (q*q*q**(-1/3))**(3/32)/(q**0/q**(-6)) assuming q is positive. q**(-187/32) Simplify (t**(-4/5)/t)/(t*(t/((t/(t/(t**0/t)))/t))/t)*(t**1)**(15/2) assuming t is positive. t**(27/10) Simplify (o/((o**(-2/29)/o)/o)*o)/(o*o**(-3/20)) assuming o is positive. o**(1867/580) Simplify r**(-1/24)/r**4 assuming r is positive. r**(-97/24) Simplify (y**(2/21)*y**8)**19 assuming y is positive. y**(3230/21) Simplify q/(q*(q/(q*(q**(2/5)*q*q)/q))/q)*q**(-7) assuming q is positive. q**(-23/5) Simplify ((m*m/m**0*m*m*m*m)/m*(m*m**(-6)*m)/m)**(-26) assuming m is positive. 1 Simplify n**(-2/17)*n**(6/5) assuming n is positive. n**(92/85) Simplify (w*w/((w*w**(-2/3))/w))**(-42)/(w**(1/6)/(w*w**6*w)) assuming w is positive. w**(-625/6) Simplify (u*(u/(u/(u**(-2/9)*u)))/u)**10/(u**(-4)/u**(4/3)) assuming u is positive. u**(118/9) Simplify (g**(-3)/g*g**(-1/20))**(-4/9) assuming g is positive. g**(9/5) Simplify k**(-4/9)*k**0*k*k*k*k**(-2/7)*(k/k**4*k)/k assuming k is positive. k**(-46/63) Simplify ((o/(o/o**(-10)))/o**(1/6))/(o**8*(o*o**(-10))/o) assuming o is positive. o**(-49/6) Simplify (d/(d/d**(-2))*d*d/(d*d*d**(-2)))**(-16) assuming d is positive. 1 Simplify ((m*m/(m**(1/8)*m*m))/m*m*m/(m*m**2))**(8/7) assuming m is positive. m**(-17/7) Simplify ((l**(-2/11)/l)/(l*l/(l/((l/(l/l**5*l))/l))))**28 assuming l is positive. l**(-1596/11) Simplify m/(m/(m*m**(3/8)/m*m)*m*m)*m**(2/7) assuming m is positive. m**(-19/56) Simplify (l**(-2/5))**(-1)*(l*l**(2/9)/l*l*l)**(-2/21) assuming l is positive. l**(178/945) Simplify (o**4*o/(o/(o*(o/(o*o*o*o**(-4)))/o)))**(-7/8) assuming o is positive. o**(-21/4) Simplify (l*(l/l**0)/l*l)**28*(l**(-2)*l)/((l/(l*l/(l*l/(((l**(-5)/l)/l)/l))))/l) assuming l is positive. l**47 Simplify h**1*((h/(h/(h/(h*h*h**(-5/4)))))/h*h)/h*(h/(h*h*h*h/(h**0*h)))**10 assuming h is positive. h**(-79/4) Simplify ((z**(1/2))**28)**(-30) assuming z is positive. z**(-420) Simplify (x**(-2/3))**(10/11)*x**(-2/5)*x*x*x**0*x assuming x is positive. x**(329/165) Simplify (m/(m**(1/13)/m*m*m))**(-11) assuming m is positive. m**(11/13) Simplify ((i**(-6)/i)/(i**(-5)/i))/((i/i**(5/2))/i**(-6)) assuming i is positive. i**(-11/2) Simplify (r/r**6)**(-2/21) assuming r is positive. r**(10/21) Simplify (b/(b**(-2/29)*b*b)*b/((b*b/(b*b**(-12/11))*b)/b))**(-1/50) assuming b is positive. b**(129/3190) Simplify (p**(-13)*p/(p/(p*p**(-1))))**(-5/4) assuming p is positive. p**(65/4) Simplify j**(-2)*j*(j/(j**26/j*j))/j assuming j is positive. j**(-27) Simplify (z*z*z*z**(13/5))**(2/121) assuming z is positive. z**(56/605) Simplify c**(3/8)*c*c**(-2/3)*c assuming c is positive. c**(41/24) Simplify (y**(-2/9))**(4/3)*(y/y**(1/4)*y*y*y*y)**10 assuming y is positive. y**(2549/54) Simplify d/d**27*d**(-33)*d assuming d is positive. d**(-58) Simplify a/((a**(-4)*a)/a)*a*a*(a*a/a**(-2/19)*a)/a*a assuming a is positive. a**(192/19) Simplify b**(-1/4)*b*b/b**(4/7)*b assuming b is positive. b**(61/28) Simplify (w**6*w)/(w**(-4/13)*w)*(w*w/(w*w**2))**(-45) assuming w is positive. w**(667/13) Simplify ((p/(p*p**(-8/3)))/p**0)**(-2/17) assuming p is positive. p**(-16/51) Simplify (v/(v/(v*v*(v*v*v*v*v/v**2*v)/v))*v*v**(-6))/(((v**(-1)/v)/v)/v)**(-17) assuming v is positive. v**(-68) Simplify (s**(-1)*s**(3/4))/(s**(5/3)/(s*s*s/(s*s/s**(-2/13)*s))) assuming s is positive. s**(-323/156) Simplify (p/p**0)/(p**(-3/2)/p)*(((p*((p/(p**(-1/4)*p))/p)/p*p)/p)/p*p)**7 assuming p is positive. p**(-7/4) Simplify ((t/(t**(2/9)*t*t))/(t*t**(-3/2)*t))/(t**(-1/2)*t*t/(t*t**(1/3))) assuming t is positive. t**(-17/9) Simplify u**6/((u/u**4)/u)*u/(u/(u/u**(-2/15)))*u*u**(-5) assuming u is positive. u**(107/15) Simplify (((h**(-2/3)/h)/h)/((h*h*h**6*h*h)/h))**(-15) assuming h is positive. h**175 Simplify (f/f**(-1)*f)**(-15)/(((f*f**(-4))/f)/f*f*f/f**(-1)) assuming f is positive. f**(-43) Simplify (d**(-2/5))**(-32/5)*(d**(-1))**(-31/5) assuming d is positive. d**(219/25) Simplify (r**(1/2))**49 assuming r is positive. r**(49/2) Simplify (y/y**(-2/19))**(6/19) assuming y is positive. y**(126/361) Simplify ((k*k**(-2/9))**(5/6))**(-11) assuming k is positive. k**(-385/54) Simplify ((q*(q*q**(-2/9))/q)/q)**(-47)/(q**(-1/4))**48 assuming q is positive. q**(202/9) Simplify ((x*(x**0/x)/x)/(x**(-2/19)/x))/(x/(x*x*x**(-1/6)/x*x)*x**(-2)*x) assuming x is positive. x**(221/114) Simplify m*m**(-13)*m**(-11) assuming m is positive. m**(-23) Simplify (u**1/u)**44*((u*u*u/(u*u/u**(-2/23))*u*u)/u)/(((u/u**6)/u)/u*u) assuming u is positive. u**(182/23) Simplify (s**(-1)*s*s)**12/(s*s**(-6)*s**(-3/10)*s) assuming s is positive. s**(163/10) Simplify s**(-1/18)/s*s**(-2/35) assuming s is positive. s**(-701/630) Simplify (u**(-23))**(-44) assuming u is positive. u**1012 Simplify i*i**(-8)*(i/(i*i/i**(-9/7))*i)/i*i assuming i is positive. i**(-58/7) Simplify ((d**(1/14)/d)/d*d*d*d/d**(-1/3))/((d/(d/((d**(2/3)*d)/d)))/d)**(-47) assuming d is positive. d**(-599/42) Simplify (((v**(-4)/v)/v*v)/v)**33 assuming v is positive. v**(-198) Simplify (b*b/(b/(((b*b/b**15)/b)/b)))/b*b**(-13) assuming b is positive. b**(-28) Simplify (g**(1/16)*g)**22 assuming g is positive. g**(187/8) Simplify p**(-22/7)/p**21 assuming p is positive. p**(-169/7) Simplify (((q**11/q)/q)/(q/(q*q/q**(2/3))))**(-50) assuming q is positive. q**(-1400/3) Simplify k**(2/3)*k**(-2/9)/k*k/k**(-4)*k*k**(1/3) assuming k is positive. k**(52/9) Simplify ((m*m**4)/m**6)/((m*m*m**(-5/3))/m**(-2)) assuming m is positive. m**(-10/3) Simplify (z**(-1/3)*z*z**(-2/15))/(z**2)**(-1/2) assuming z is positive. z**(23/15) Simplify z/(z**5/z*z)*z*z*z*z*z**(-6)*z*z**0*z**(-1/10)*z assuming z is positive. z**(-41/10) Simplify (j**1)**(-28)*j/j**4*j**(-1) assuming j is positive. j**(-32) Simplify r**(1/4)*r*((r*r**26)/r)/r assuming r is positive. r**(105/4) Simplify c/(c*c/c**11*c)*c**7*c**(-7/4)*c**1*c assuming c is positive. c**(65/4) Simplify (c**(-1/3))**2*(c*c**(4/7)*c*c)/c**(-4/9) assuming c is positive. c**(211/63) Simplify (d**(-11)*d)**(4/15) assuming d is positive. d**(-8/3) Simplify (p**(-1))**37/(p**2/(p/((((p*p/(p*p*p**3))/p*p)/p*p)/p))) assuming p is positive. p**(-34) Simplify ((w*w*w**1)/w)/w*w**(1/4)*w*(w/w**(-2/3))/w*w*w**(4/3) assuming w is positive. w**(21/4) Simplify ((u**6*u)/u**(-1))/((((u**5*u)/u*u)/u)/(u/u**(-4/9))) assuming u is positive. u**(40/9) Simplify a**11*a**(6/5) assuming a is positive. a**(61/5) Simplify (o/(o**(-2/5)*o))**(-1/16)/((o**(2/9)*o)/((o/(o**8/o))/o)) assuming o is positive. o**(-2969/360) Simplify (r**(1/17)/r**(-4/9))**(-4) assuming r is positive. r**(-308/153) Simplify ((p*p**5*p)/p**(3/2))**(-22) assuming p is positive. p**(-121) Simplify (c**(-15)*c*c)/((c**16/c)/c) assuming c is positive. c**(-27) Simplify (b/(b*(b/((b**10*b*b*b)/b))/b))/(b*b/(b*(b/(b/b**12))/b*b)*b) assuming b is positive. b**22 Simplify (w/(w/w**(-1))*w)**(2/17)/((w/w**(-2/5))/(w*w/(w**(2/9)*w)*w*w)) assuming w is positive. w**(62/45) Simplify (r**(-5/6)/r)**(-2/187) assuming r is positive. r**(1/51) Simplify (z**(1/10)*z*z**0/z)/(((z/((z*z/(z**(-3/8)*z))/z))/z)/z**(3/2)) assuming z is positive. z**(79/40) Simplify (q/(q*(q/(q**(-5/3)*q))/q))**(13/5) assuming q is positive. q**(-26/15) Simplify (l/((l**(-3/7)/l)/l)*l)/l**(-3/4) assuming l is positive. l**(145/28) Simplify (d/(d/(d*d**34)))/d**(14/5) assuming d is positive. d**(161/5) Simplify (l**(4/3))**15 assuming l is positive. l**20 Simplify l**(2/23)*l/(l**0/l)*l**(-9)/(l/((l*l**(-3/5))/l)) assuming l is positive. l**(-979/115) Simplify ((p**(-2/11)*p)/p*p**(-3))**49 assuming p
{ "pile_set_name": "DM Mathematics" }
actors of 2084442. 2, 3, 73, 4759 What are the prime factors of 1123104? 2, 3, 11699 What are the prime factors of 959078? 2, 31, 499 List the prime factors of 26512345. 5, 1217, 4357 List the prime factors of 78715. 5, 7, 13, 173 List the prime factors of 2382810. 2, 3, 5, 79427 What are the prime factors of 12254452? 2, 7, 83, 5273 List the prime factors of 635510. 2, 5, 103, 617 What are the prime factors of 780313? 149, 5237 List the prime factors of 12247610. 2, 5, 151, 8111 List the prime factors of 11901740. 2, 5, 595087 List the prime factors of 7391949. 3, 2463983 List the prime factors of 4550056. 2, 7, 31, 2621 What are the prime factors of 8366343? 3, 2788781 List the prime factors of 1940953. 7, 277279 List the prime factors of 8901584. 2, 83, 6703 List the prime factors of 4815526. 2, 47, 51229 What are the prime factors of 3480126? 2, 3, 13, 44617 What are the prime factors of 1598871? 3, 61, 8737 What are the prime factors of 700558? 2, 37, 9467 What are the prime factors of 33459456? 2, 3, 19, 2293 List the prime factors of 6829557. 3, 7, 325217 List the prime factors of 647368. 2, 19, 4259 What are the prime factors of 880658? 2, 440329 What are the prime factors of 399408? 2, 3, 53, 157 List the prime factors of 35872. 2, 19, 59 What are the prime factors of 3681195? 3, 5, 7, 35059 List the prime factors of 3510724. 2, 7, 125383 What are the prime factors of 1274228? 2, 318557 List the prime factors of 2692575. 3, 5, 3989 List the prime factors of 119330. 2, 5, 11933 What are the prime factors of 7286156? 2, 1319, 1381 List the prime factors of 9455867. 9455867 List the prime factors of 72613. 72613 What are the prime factors of 983929? 983929 List the prime factors of 5433916. 2, 1358479 What are the prime factors of 266319? 3, 127, 233 List the prime factors of 287281. 287281 List the prime factors of 15226872. 2, 3, 47, 13499 What are the prime factors of 731514? 2, 3, 7, 17417 What are the prime factors of 1010198? 2, 7, 59, 1223 What are the prime factors of 498611? 498611 List the prime factors of 1514000. 2, 5, 757 What are the prime factors of 4760897? 937, 5081 What are the prime factors of 330260? 2, 5, 7, 337 What are the prime factors of 3930949? 11, 357359 What are the prime factors of 4306785? 3, 5, 7, 41017 List the prime factors of 2688010. 2, 5, 13, 23, 29, 31 What are the prime factors of 961723? 7, 19, 1033 List the prime factors of 196261. 13, 31, 487 List the prime factors of 1101548. 2, 7, 39341 What are the prime factors of 479354? 2, 89, 2693 List the prime factors of 2738941. 2738941 List the prime factors of 832224. 2, 3, 8669 List the prime factors of 3306592. 2, 191, 541 What are the prime factors of 4519486? 2, 443, 5101 What are the prime factors of 202613? 202613 What are the prime factors of 18232805? 5, 31, 79, 1489 List the prime factors of 1673232. 2, 3, 11, 3169 List the prime factors of 4473929. 37, 120917 What are the prime factors of 27751904? 2, 223, 3889 List the prime factors of 2427886. 2, 1213943 List the prime factors of 20407817. 1493, 13669 List the prime factors of 67899. 3, 13, 1741 What are the prime factors of 183608? 2, 59, 389 List the prime factors of 19783. 73, 271 What are the prime factors of 1730473? 1730473 What are the prime factors of 3208319? 3208319 List the prime factors of 1822503. 3, 163, 3727 List the prime factors of 1890064. 2, 11, 10739 List the prime factors of 44277. 3, 14759 List the prime factors of 112463. 13, 41, 211 List the prime factors of 2995950. 2, 3, 5, 19973 List the prime factors of 4464733. 7, 13, 43, 163 List the prime factors of 193924. 2, 48481 What are the prime factors of 1263318? 2, 3, 7, 4297 List the prime factors of 724407. 3, 241469 What are the prime factors of 2390553? 3, 11, 2683 What are the prime factors of 117602? 2, 127, 463 What are the prime factors of 9471320? 2, 5, 236783 List the prime factors of 3824804. 2, 773, 1237 What are the prime factors of 79649? 23, 3463 What are the prime factors of 437376? 2, 3, 17, 67 What are the prime factors of 4021058? 2, 1303, 1543 What are the prime factors of 9132898? 2, 181, 25229 List the prime factors of 922732. 2, 230683 List the prime factors of 575648. 2, 17989 What are the prime factors of 40019? 7, 5717 What are the prime factors of 7170230? 2, 5, 37, 19379 List the prime factors of 642496. 2, 10039 List the prime factors of 14703488. 2, 313, 367 What are the prime factors of 21024753? 3, 7008251 What are the prime factors of 9222054? 2, 3, 59, 109, 239 List the prime factors of 9365119. 19, 492901 What are the prime factors of 6511997? 6511997 What are the prime factors of 5674448? 2, 13, 27281 List the prime factors of 11795. 5, 7, 337 What are the prime factors of 2701266? 2, 3, 17, 71, 373 What are the prime factors of 64116? 2, 3, 13, 137 List the prime factors of 170066. 2, 13, 31, 211 List the prime factors of 602508. 2, 3, 23, 37, 59 List the prime factors of 10087. 7, 11, 131 What are the prime factors of 6850879? 7, 978697 What are the prime factors of 361580? 2, 5, 101, 179 List the prime factors of 8609940. 2, 3, 5, 31, 1543 List the prime factors of 241065. 3, 5, 11, 487 What are the prime factors of 488885? 5, 97777 What are the prime factors of 251658? 2, 3, 11, 31, 41 List the prime factors of 65104. 2, 13, 313 List the prime factors of 2463274. 2, 11, 19, 71, 83 List the prime factors of 541916. 2, 135479 List the prime factors of 4605834. 2, 3, 37, 20747 List the prime factors of 40163846. 2, 41, 489803 List the prime factors of 413455. 5, 7, 11813 List the prime factors of 984299. 984299 List the prime factors of 560869. 560869 List the prime factors of 1236526. 2, 23, 26881 List the prime factors of 1132747. 7, 11, 47, 313 List the prime factors of 1341523. 1341523 What are the prime factors of 7844108? 2, 1961027 What are the prime factors of 125811? 3, 7, 1997 What are the prime factors of 20542? 2, 10271 What are the prime factors of 204451? 13, 15727 List the prime factors of 12793821. 3, 19, 389, 577 What are the prime factors of 4388830? 2, 5, 103, 4261 What are the prime factors of 3680600? 2, 5, 7, 11, 239 List the prime factors of 217311. 3, 17, 4261 What are the prime factors of 78660? 2, 3, 5, 19, 23 What are the prime factors of 304171? 7, 19, 2287 List the prime factors of 3090414. 2, 3, 29, 17761 What are the prime factors of 1827700? 2, 5, 7, 373 List the prime factors of 970642. 2, 53, 9157 List the prime factors of 1304192. 2, 23, 443 What are the prime factors of 1750? 2, 5, 7 What are the prime factors of 830467? 11, 17, 4441 What are the prime factors of 250351? 79, 3169 List the prime factors of 725522. 2, 7, 29, 1787 List the prime factors of 1675851. 3, 173, 3229 What are the prime factors of 168443? 11, 15313 What are the prime factors of 5166794? 2, 43, 73, 823 What are the prime factors of 611263? 611263 List the prime factors of 1451253. 3, 483751 What are the prime factors of 602748? 2, 3, 5581 What are the prime factors of 6470826? 2, 3, 1078471 What are the prime factors of 267037? 267037 What are the prime factors of 7257418? 2, 7, 518387 What are the prime factors of 3991252? 2, 997813 List the prime factors of 44459. 23, 1933 What are the prime factors of 1044974? 2, 7, 10663 What are the prime factors of 2582404? 2, 11, 19, 3089 List the prime factors of 142859. 373, 383 List the prime factors of 177138. 2, 3, 13, 757 List the prime factors of 693084. 2, 3, 7, 37, 223 What are the prime factors of 4940773? 1663, 2971 List the prime factors of 2334450. 2, 3, 5, 79, 197 What are the prime factors of 430269? 3, 7, 2927 List the prime factors of 36160. 2, 5, 113 List the prime factors of 946265. 5, 189253 List the prime factors of 151892. 2, 13, 23, 127 List the prime factors of 231487. 83, 2789 What are the prime factors of 221190? 2, 3, 5, 73, 101 What are the prime factors of 599292? 2, 3, 31, 179 What are the prime factors of 485707? 17, 28571 What are the prime factors of 314092? 2, 17, 31, 149 What are the prime factors of 132301? 13, 10177 List the prime factors of 33780. 2, 3, 5, 563 List the prime factors of 2977583. 7, 8681 List the prime factors of 461783. 7, 41, 1609 What are the prime factors of 2096771? 103,
{ "pile_set_name": "DM Mathematics" }
0). 2, 7 Suppose 0 = -r - 8 + 36. Suppose -p + r = p. List the prime factors of p. 2, 7 Let h = 98 + -47. What are the prime factors of h? 3, 17 Suppose 5*d - 42 = 23. Suppose -5*q + 26 - 1 = 0. Suppose -q*h = -d - 32. What are the prime factors of h? 3 Suppose 0 = -3*h + 8*h - 125. Suppose 6 = -s + h. Suppose -2*q + q = 5, 0 = x - 3*q - s. List the prime factors of x. 2 Let t = -1 - -8. Let s(y) = y + 0*y + 4 - t. What are the prime factors of s(5)? 2 Let t(j) = 10*j - 8. Let f be t(10). Suppose -3*h = -10 - f. What are the prime factors of h? 2, 17 Let j(d) = -d**3 + d**2 + 2*d. List the prime factors of j(-2). 2 Let w = -103 + 175. What are the prime factors of w? 2, 3 Let h = -7 + 4. Let n = 0 - h. Suppose -18 = -2*o - 2*p, 0 = -4*o - 2*p - n*p + 34. What are the prime factors of o? 11 Suppose 0 = 4*l + 4*x - 20, 3*x = 7*x + 8. Let r be 3/(-2)*-6 - -1. List the prime factors of (-2 + l)*32/r. 2 Let y be 0 + (-1)/(-4)*0. Suppose y = -v - 2*v + 162. List the prime factors of v. 2, 3 Let w(o) = 2*o**2 + 3*o + 2. Let d be w(-6). What are the prime factors of 2000/d + 4/14? 2, 3 Suppose -4 = -2*k - 2*f, 2*k + 27 = 5*f + 3. Let d = k - -14. What are the prime factors of d? 2, 3 Let u = 19 - 13. List the prime factors of u. 2, 3 Let j(x) = x**3 + 2*x**2 - 5*x + 2. Let i(c) = c - 8. Let o be i(5). List the prime factors of j(o). 2 Let h be (-10)/35 - (-60)/14. Let c be 55/(-4) + h/(-16). List the prime factors of (-4)/c - (-12)/7. 2 Let g(l) = -l**3 + 5*l**2 - 5*l + 6. Let r be g(4). Suppose w - 8 = r*k, -2*k + 6*k = -8. What are the prime factors of w? 2 Let a = -16 - -82. What are the prime factors of a? 2, 3, 11 Suppose -2*r = -5 - 1. Suppose q = 1 + 5. Suppose n = -r + q. List the prime factors of n. 3 Let u = 40 - 14. Suppose 4*n - u + 6 = -3*l, -3*l = -n - 25. What are the prime factors of l? 2 List the prime factors of 8*8 + 0/14. 2 Let h(p) = 0 - 3 + 0*p**2 - p**2 + 3*p. Let d be h(4). Let t = d - -11. List the prime factors of t. 2 Suppose 0 = 7*r - 5*r - 20. What are the prime factors of r? 2, 5 Let z = 4 + -1. Let l(i) = -i**3 + 5*i**2 - 4*i + 2. Let h be l(4). Let n = h + z. List the prime factors of n. 5 Let l = -171 + 165. Let t(c) = 0 + c**3 + 4 - 1 + 7*c**2 + 5*c. List the prime factors of t(l). 3 Let l(c) = -c**3 + 7*c**2 + 7*c - 2. Let j be l(8). Let d be 8/2*(-5)/j. What are the prime factors of (2/(-2))/(d/(-8))? 2 Let w = 26 - 50. What are the prime factors of w/8 - (1 - 23)? 19 Suppose 29 = 2*f + g - 0*g, 5*g + 11 = 3*f. List the prime factors of f. 2, 3 Let j = 30 + -4. List the prime factors of j. 2, 13 Suppose -2*g - 4*y = -y - 12, 8 = g + y. List the prime factors of g. 2, 3 Suppose 4*i = 2*i + 4*z + 22, 5*z = 4*i - 35. Suppose 0 = 6*k - i*k - 10. Suppose k = -4*p + 6*p. List the prime factors of p. 5 Suppose 4*u = 12 - 4. Let n = 1 + u. What are the prime factors of n? 3 Let f(t) = -t**2 + 4*t. Let b(u) = u**2 - 4*u - 1. Let w(h) = -3*b(h) - 2*f(h). Let i(o) = o**3 - 3*o + 2. Let x be i(2). What are the prime factors of w(x)? 3 Let n(c) = c**3 - 12*c**2 + c - 11. Let l be n(12). What are the prime factors of (-48)/(-2) - (l - -1)? 2, 11 Let m(b) = b**3 + 12*b**2 + 7*b + 7. Let x be m(-11). What are the prime factors of x - 3*(-3 - -2)? 2, 3 Let l = 368 - 192. List the prime factors of l. 2, 11 Let h(i) = 1 - 3 + 3*i + 2. Let j be h(1). Suppose 2*l = 2*y - 0*l - 14, -5*l = -j*y + 19. List the prime factors of y. 2 Suppose 4*b = -20, b + 3 = 5*l - 2. Suppose -3*o + 34 = 5*y - l*o, -2*y = -2*o - 20. List the prime factors of y. 2 Suppose -5*i + 25 = -4*i. Let h = i + -14. What are the prime factors of h? 11 Let d(w) = w**3 - 6*w**2 - w + 6. Let o be d(6). Suppose 0 = -5*q - o - 5. List the prime factors of (-28)/(-6) + q/(-3). 5 Let m(r) = -r - 5. Let u(x) = 5 - 5 + x. Let k(p) = m(p) - 2*u(p). List the prime factors of k(-5). 2, 5 Suppose 0 = 5*a + w + 131, -2*a + 4*w - 77 = -29. Let z = a + 14. Let m = z - -35. List the prime factors of m. 23 What are the prime factors of (789/(-12))/((-5)/4 + 1)? 263 Let t be -94*-4*(-4)/32. Let j = 75 + t. List the prime factors of j. 2, 7 List the prime factors of 138/2 - (-5)/((-15)/(-9)). 2, 3 Let s(k) be the third derivative of k**4/24 + 7*k**3/3 + k**2. List the prime factors of s(-8). 2, 3 Let z be (-26)/10 - 4/10. Let b = 8 + z. Suppose -3*k + 24 = -b*m, 0*m = -5*k - 2*m + 71. What are the prime factors of k? 13 Suppose -3*v + 6 = -5*v, 0 = 4*y - 3*v - 141. Suppose 2*r + y = 5*r. What are the prime factors of r? 11 Let q(f) = -26*f - 5. List the prime factors of q(-4). 3, 11 What are the prime factors of -12*(-3 + (-5)/(-2))? 2, 3 List the prime factors of (-249 + -3)*4/(-6). 2, 3, 7 Suppose 6*z - 2*z = -12, 4*t + z = -135. Let i = 6 + t. Let j = 40 + i. List the prime factors of j. 13 List the prime factors of ((-28)/(-10) - 2)*30. 2, 3 Suppose -3*g = 5*h - 2*g - 92, -5*h + 86 = -2*g. What are the prime factors of h? 2, 3 Let n(h) be the third derivative of -h**4/24 + 7*h**3/6 + 2*h**2. Let x = -4 - -9. What are the prime factors of n(x)? 2 Let b(d) = -132*d - 4. Let c be b(-3). List the prime factors of (-2)/(-6) + c/21. 19 Let f(k) = k**2 - 2*k + 3. What are the prime factors of f(3)? 2, 3 Let j(z) = 9*z. Let m be j(1). Let w be -2 + 0 - (-4 - 11). Let t = w - m. What are the prime factors of t? 2 Let d(q) = -q**3 - q**2 - q - 2. Let j be d(0). What are the prime factors of 11 + (1 - 0)*j? 3 Suppose -76 = -2*w - 2*w. Suppose -k + 15 = -3*n - w, -4*n - 37 = -k. Suppose -3*p + k = -5. List the prime factors of p. 2, 5 List the prime factors of (-5)/(15/18) + 109. 103 Suppose 2*s = -s - 12. Let u be 150/24 - (-1)/s. List the prime factors of (-43)/(-2) - (-3)/u. 2, 11 Let f = 3 - 4. List the prime factors of -8*((-1)/(-4) + f). 2, 3 Suppose -4 = -3*z + 8. Suppose 0*h - 5*d = h, -2*d + 72 = z*h. What are the prime factors of h? 2, 5 Suppose -64 = -3*n - 0*o + 2*o, 3*n - 88 = -4*o. Suppose d - 2*d + n = 0. What are the prime factors of d? 2, 3 Let w(a) = a**2 - 3*a - 6. Let n be w(5). Suppose n*q + 6 = 6*q. What are the prime factors of q? 3 Let v(h) = 28*h**2 + 8*h + 3. List the prime factors of v(3). 3, 31 What are the prime factors of 3/2 - 8169/(-42)? 2, 7 Let y(q) = -3*q**3 - 3*q**3 - q**3 - q**2. What are the prime factors of y(-1)? 2, 3 Let w = 8 + -2. Suppose c = -2*v + v - 1, -3*v = 2*c + w. Suppose a - 24 = -4*t, -a + c - 21 = -3*t. What are the prime factors of t? 2, 3 List the prime factors of (-4)/(12/(-9)) - -32. 5, 7 Suppose -169 = -4*k - 25. Suppose 5*z - 2*m = k, 3*z - 4*m = -1 + 17. List the prime factors of z. 2 Suppose 3*o + 2*k = -20, 2*o + k + 9 = 4*k. What are the prime factors of (-43 - o)*(0 + -1)? 37 Let p be 6/(-21) + 32/14. What are the prime factors of (480/(-4))/(-4) + p? 2 Suppose -s = 7 - 35. Suppose -v = -5*v + s. List the prime factors of v. 7 Let o = 2 + 1. Suppose 1 = -i - o. What are the prime factors of ((-13)/2)/(2/i)? 13 Let m be (-16)/4 - (2 - 11). What are the prime factors of 135/m + (-3)/(-1)? 2, 3, 5 Suppose -u = 2*u - 24. Suppose 0 = t + l + 1, 2*l = -3*t - 0 - 5. Let m = u + t. What are the prime factors of m? 5 Suppose 0 = -2*c - 7 + 1. Let n = -3 - c. Suppose -4*z - 2*u + 18 = n, 3*u - 23 = -4*z - 0*u. List the prime factors of z. 2 Let x(a) = -3 - 4*a**2 + 6 - 2*a + 2*a - a**3. List the prime factors of x(-4). 3 Let v = -9 + 24. Suppose -5*u - v = 0, 10 = 2*n - 4*u + 2*u. What are the prime factors of n? 2 Let l(z) = -7*z + 15. Let u(v) = 20*v - 44. Let f(o) = -17*l(o) - 6*u(o). Let i be (-1)/(-1 + (-16)/(-20)). What are the prime factors of f(i)? 2 Let x(n) = 2*n - 7. Suppose -4 = -2*s + 6. Let b be x(s). Let o(q) = -q**3 + 5*q**2 - 2*q - 2. What are the prime factors of o(b)? 2, 5 Let n(c) = 4*c**3 + 2*c**2. What are the prime factors of n(2)? 2, 5 Suppose -4*h - 19 - 9 = 0. Let n(m) = 13*m**2 + m + 4. Let q(j) = -26*j**2 - 2*j - 7. Let o(y) = h*n(y) - 4*q(y). List the prime factors of o(1). 2, 7 Let w = 117 + -70. What are the prime factors of w? 47 Suppose 0 = -5*w - 4*n + 631, 2*w - 27 = 5*n + 232. List the prime factors of w. 127 Suppose 0*x + x = 0. What are the prime factors of 2 - -2*(x + 3)? 2 Suppose 3*b + h - 9 = -2*b, 2*b + h = 3. List the prime factors of ((-1)/b)/(13/(-546)). 3, 7 List the prime factors of (-12)/
{ "pile_set_name": "DM Mathematics" }
y + 3, 4*v + 3*y = 24. Suppose v = t + 2*t. Which is the nearest to 1? (a) t (b) 0.3 (c) 2/7 b Let l be 36/21 - 4/(-14). Let i = l + -1. Let f = -0.1 + 0.4. Which is the nearest to i? (a) 0 (b) f (c) 4 b Let v = -13.8 - -13.7. What is the closest to v in 4, -0.4, -12? -0.4 Let k = 12 + -9. Suppose -5*y + 2 = 4*i, 0*y - k*y - 21 = -5*i. Let z = 0.3 + 0. What is the nearest to 1 in z, 0.4, i? 0.4 Suppose 0 = -o - 6*o - 35. Which is the nearest to -1? (a) 4 (b) o (c) -10 b Let w = 32/15 + -14/5. Suppose -9 = -0*v + 3*v. Which is the closest to w? (a) 0 (b) 0.1 (c) v a Let i = -0.3 + 0.6. Let d = -0.2 + i. Which is the closest to -2? (a) 5 (b) 0.3 (c) d c Suppose -x + 3*z = 3*x + 4, 0 = 4*x - 2*z + 4. Let p = -3.97 - -4. Let h = p + -0.43. Which is the closest to x? (a) 0.1 (b) -5/2 (c) h c Let y = 3.7 - 0.6. Let r = -3 + y. Let d = -0.138 + 0.038. Which is the closest to r? (a) d (b) 0.5 (c) -2/11 a Let h = -3 + 3.1. Let p = -12 + 11. Which is the nearest to -1? (a) h (b) p (c) 0.3 b Let r = -0.35 + 0.05. Suppose 0 = u + 7*n - 2*n - 39, 0 = 2*u + 3*n - 43. Let x = u - 9. Which is the nearest to 0.1? (a) x (b) r (c) 1 b Let l(t) = t**2 + 2*t - 3. Let q be l(0). Which is the nearest to -4? (a) -4 (b) -4/7 (c) q a Let k = 3 + 12. Let s = k - 19. Which is the closest to -1/4? (a) -2/3 (b) s (c) -0.5 c Suppose 4*g - 6 = 2*v - 24, -g + 4*v - 8 = 0. Let z = -1 - -0.9. Which is the nearest to 1/2? (a) z (b) g (c) -1/2 a Let k = 13 + -16. What is the closest to 6 in k, -3/2, -1? -1 Let c = 4/147 + 719/588. Let b be -1 - (-8)/(-28) - -1. What is the nearest to -1 in 2, c, b? b Let n be ((-8)/(-6))/((-30)/(-9)). Let t = -10 - -15. What is the nearest to n in -1/8, t, 0.4? 0.4 Let q = 88 + -443/5. Let z = 3.1 + -3. Which is the nearest to 0? (a) q (b) z (c) 1/8 b Let n = 3 + -2.6. Let x = 0.05 - 0. Let o = 1.95 + x. What is the closest to -0.1 in n, o, 2/9? 2/9 Let m = -1.023 + 0.023. Let l be ((-3)/6)/(2/(-2)). What is the closest to l in 1, m, -0.5? 1 Let s = 2 + -8. Let z = -1/6 - -5/6. Which is the closest to z? (a) s (b) -1 (c) -5 b Let s = 4.08 - 0.08. Let v = s + -7. Let m = -6.4 - -6. Which is the closest to -0.1? (a) v (b) 5 (c) m c Let g = 12 - 8.9. Let r = -3 + g. Let o = r - -0.4. What is the closest to -0.1 in -5/3, o, 3? o Suppose -8*q + 9*q = 3. Let d be 3 + (-1 + -2)/q. Let s = -1/6 - 1/6. Which is the nearest to -2/5? (a) s (b) 0.2 (c) d a Let s = -13 + 9. Let f = 5 + s. Which is the closest to f? (a) -2/3 (b) -4 (c) 3 a Let s = 9 + -8.6. Let p = 1/42 + -23/84. Which is the nearest to p? (a) -3/5 (b) s (c) 0 c Let n = 7/6 + -4/3. Which is the closest to -2? (a) n (b) -2/7 (c) -0.2 b Let f be (-10)/3 - ((0 - 0) + -3). Let z = 0.1 + 0. Let b be 2/(-6)*45/(-20). What is the nearest to f in b, z, 2/11? z Let z = 4 - 6. What is the nearest to z in -2/7, 3/2, 3? -2/7 Let m = -47/2 + 26. What is the nearest to 0 in -4/9, 2, m? -4/9 Suppose 2*v - 4*h + 37 = 11, v + 3*h = 12. Let s be v - 2*44/(-24). What is the closest to s in -2, 2, 0.3? 0.3 Suppose 0 = 2*n - n. Suppose -3*j - 308 = j. Let d be 3/(-1) + j/(-28). Which is the closest to d? (a) -1/7 (b) -2/9 (c) n b Let p = 0.61 + 2.39. What is the closest to 1 in p, 5, 1/3? 1/3 Let p = 0.316 - 0.016. Let z be ((-2)/(-3))/(25/3). What is the nearest to 0 in 2, p, z? z Let k = -1.99 - 0.01. Let x be 2/22 + 2 + -2. Which is the closest to 1/2? (a) 5 (b) k (c) x c Let p = 3 + -1. Let u(y) = -10*y - 64. Let m be u(-6). What is the nearest to -2/3 in m, -0.2, p? -0.2 Let o = -0.31 - -0.11. Let m = -10.5 + 10. What is the nearest to o in 3/4, m, 5? m Let u = -3.8 + 0.8. Which is the closest to 9? (a) u (b) -2 (c) 1 c Let n = -4.4 - -4.1. Which is the nearest to 1? (a) n (b) -0.1 (c) -3 b Let l = -8.9 - -9. What is the closest to -0.1 in l, -1/4, 2/9? -1/4 Let h(m) = -m**3 + m**2 + m + 2. Let y be h(0). Let l = -0.04 - -0.14. Which is the nearest to l? (a) 0.4 (b) y (c) -4 a Let n = 6 + -6. Suppose h - 3*h - 4 = n. What is the nearest to 0.1 in -4, h, -5? h Let k = 2341/244644 - 2/2109. Let d = -63/580 + k. What is the closest to 2 in d, 1/3, -2? 1/3 Suppose -3*l = -10*l - 7. Let y(t) = t**3 - 5*t**2 + 1. Let w be y(5). Let o(n) = -n - 3. Let d be o(-7). Which is the closest to w? (a) -1/5 (b) d (c) l a Let f = 27.37 + -27.4. Let p be (6/8)/(1/(-4)). What is the nearest to f in -2, p, -4? -2 Let a = -56 + 53. What is the closest to 1/5 in 2/3, a, 2/11? 2/11 Let g = -0.238 + 0.138. What is the nearest to g in -1/8, 0, -2? -1/8 Let m = -6 + 5. Let u be m*(-3)/(-3*1). Let f be 12/(-26)*u/3. What is the closest to 0.1 in 2, f, 1? f Let q = -0.43 - 0.07. What is the nearest to -1 in -5, 1, q? q Let g = 3.9 - 4. Which is the closest to -2/7? (a) -1/4 (b) -0.01 (c) g a Let q be (-3)/1 + (-98)/(-35). Let n = -0.5 - -0.4. Which is the closest to n? (a) q (b) 4 (c) 5/6 a Let f = 46 - 43. What is the closest to -0.4 in -1, f, 0.4? -1 Let i = -1 - 2. Let t = i + 2.9. Which is the closest to t? (a) -1 (b) 0.5 (c) -5 b Suppose 4*m = 2*m - 2. Let d = 4.1 + -4. Let r = 0.1 - d. What is the closest to m in 0.1, r, -1? -1 Suppose -h - 3*n + 23 = 0, 5*n + 77 - 2 = 4*h. Suppose 3*z = -o - h, z - 2*z - 25 = 4*o. Let l = 245/4 - 61. Which is the closest to 0? (a) l (b) z (c) -0.1 c Let s = -52 + 51.8. What is the nearest to 1 in 4, 0.1, s? 0.1 Let p(y) = -1 + y**2 - 4 + 5*y + 1. Let g be p(-6). Let s = 2.9 - 3. What is the closest to s in 4, g, -2? -2 Let h be (22/8 + -2)/(36/96). Which is the closest to h? (a) 3 (b) 5 (c) -0.2 a Suppose 2*w + 3*w - 10 = 0. Let k = 0.1 + -0.2. Which is the closest to -1/2? (a) k (b) 4/3 (c) w a Let v = 24 + -23.8. Which is the closest to v? (a) -1/8 (b) 1 (c) -1 a Let l = -1 + 1. Let n = 2.21 - 0.11. Let j = n - 0.1. Which is the nearest to -1/3? (a) j (b) -4 (c) l c Let y = 6 - 2. Let x = 32.5 - 32. Which is the closest to 1? (a) -2/9 (b) x (c) y b Let k = 222/679 - 4/97. Suppose -4 = -2*x + p, -2*p + 6*p = -8. Let m be (9/(-6))/(x*3). Which is the closest to k? (a) -1 (b) -2/9 (c) m b Let f = -11 - -10.9. Let j = -4 + 1. Which is the nearest to f? (a) j (b) -5/4 (c) 0 c Let q be 4/((-32)/25) - -3. Let t = 10.3 - 11. Let v = 0.4 + t. Which is the nearest to 1? (a) 0.5 (b) v (c) q a Let d = 0 + 3. Let u = -29 - -59/2. Which is the closest to u? (a) d (b) 2/9 (c) 1 b Let j = 0.03 + -0.07. Let x = j - -0.24. Which is the nearest to x? (a) -0.5 (b) -0.3 (c) -2/7 c Let r = -2.4 - -3.4. Which is the nearest to 2? (a) r (b) -0.5 (c) -2 a Let y = -0.299 - -0.099. What is the nearest to 0 in -4, y, 0.03? 0.03 Suppose -2*d - 2*d - 4 = 0. Let s = 0.006 - 2.006. What is the nearest to d in -5, 2, s? s Let o = 10 - 10.3. Which is the nearest to -2/7? (a) -2/7 (b) o (c) -2 a Let q = -0.16 - -0.36. Which is the nearest to 1? (a) 4 (b) q (c) -2/5 b Let m = -1 - 2. Let q = m + 2.6. Let l be (8 - 6)/(-3 - -2). Which is the closest to -2/5? (a) q (b) l (c) -0.3 a Let q = 0.06 - -2.94. Let v = -19/90 + 2/45. What is the closest to 0 in q, v, 1/2? v Let f = -0.26 + 4.26. Let l = -7.9 - -8. Which is the nearest to 2? (a) 3 (b) l (c) f a Let k = 0.02 - -0.98. What is the nearest to k in 3/5, -5, 1? 1 Let d be ((-2)/(-3) + -1)/(0 + -1). What is the closest to d in -2, 4, -4? -2 Let d = -9.1 + 9. What is the nearest to 2/7 in d, -0.4, -4? d Let x be ((-36)/(-27) + (-75)/54)*-2. What is the closest to -13 in -0.4, x, -0.3? -0.4 Suppose -4*q + 0*x = -4*x + 32, -5*q = x + 40. Let f = q + 10. Suppose 5*t = 13 + 2. What is the nearest to -2/5 in -2/9, f, t? -2/9 Let k = -68/129 + -6/43. Suppose -31 = -h + x, 0 = -h - x - 2*x + 35. Let o = h + -65/2. Which is the closest to k? (a) -4 (b) -0.3 (c) o c Let s = 3.4 + -1.8. Let d = s - 1.7. What is the closest to d in 2/23, 0.5, 2? 2/23 Let o be 6/(-5) - 2/(-2). Suppose 3*g = 5*g - 40. Suppose 0 = 5*w + 2*r - 33, 0 = -4*r - r + g. Which is the closest to -0.1? (a) 0.3 (b) o (c) w b Suppose -4*z + 0 = 3*i + 3, -3*i - 3 = 3*z. Let l = -10 + 11. Let g = 0.11 - 4.11. Which is the closest to -0.1? (a) z (b) g (c) l a Let j be (2 + -1)*(-166)/6. Let a = j + 27. Let h = -0.8 - -1. What is the closest to 0.2 in h, 3, a? h Let c = 12 + -15. Wha
{ "pile_set_name": "DM Mathematics" }
= 103.6 + -104. Which is the nearest to 1? (a) -1 (b) n (c) q c Suppose -4*t - 10 = 6. Which is the closest to t? (a) -2/3 (b) -0.4 (c) -3/5 a Let w = -0.3 - -3.3. Let o(j) = j**2 - j - 1. Let y be o(2). Which is the closest to -1? (a) 2 (b) w (c) y c Suppose -32 = -5*u + 23. Suppose -5*b = -15, 0*v + v + u = 3*b. Let s be v*(-1)/7*-1. What is the closest to s in 5, -2/3, 3? -2/3 Let o = 7.9 + -8. Which is the closest to o? (a) 1/4 (b) 3 (c) 0.3 a Let r = 38 + -42. Let t = 0.3 - -0.7. Which is the nearest to -0.1? (a) r (b) 0.4 (c) t b Let r = -10.2 - -5.2. Let u = 0.3 + -0.4. Which is the closest to u? (a) r (b) 6/11 (c) 0.5 c Let k = -0.2 + -1.05. Let r = k + 1. Let i = -0.05 + r. Which is the closest to 0? (a) i (b) 0.1 (c) 0 c Let w be 12*(3/(-2))/(-3). Let k be w/4*(-2)/1. Let q be 120/(-55) - (-1 - 1). What is the nearest to -0.1 in q, k, 2/13? q Let v = 2 + 4. Let x = -7.5 + v. Let u = -0.5 + x. Which is the closest to 1/2? (a) u (b) -3/8 (c) -0.5 b Let v = 2 + -2. Let s = 82 + -82.4. Let j = -1 - -1. What is the closest to j in v, 0.3, s? v Let t = 3 + -7. Which is the closest to 1? (a) 0.3 (b) t (c) -2/21 a Let f = 2 + -2.2. Let s be (-4)/(-6)*(-3)/9. Which is the closest to -1? (a) -1 (b) s (c) f a Suppose 0 = s + 4*s + 15. Which is the nearest to -2/3? (a) s (b) 0 (c) 0.5 b Suppose 2*d = 2*a - 2*d - 16, 12 = 4*a - 4*d. What is the nearest to -2/7 in -0.6, a, 2? -0.6 Suppose 3*h = 73 - 10. Let n be 1 + (-24)/h*1. What is the nearest to -0.2 in -0.4, -0.2, n? -0.2 Let f = 19/170 - 1/85. Let q = 0.3 + -0.4. Which is the closest to 1/4? (a) f (b) -0.3 (c) q a Let q = 23.6 + -24.6. Let r = -1 + 5. What is the closest to -2/5 in q, -1/4, r? -1/4 Let l = 0.74 + -9.54. Let y = l + 6.84. Let v = y + -0.04. Which is the closest to v? (a) 1/4 (b) 1/3 (c) 0.2 c Let j = -0.45 - 0.55. Which is the closest to j? (a) -1 (b) -3 (c) 9 a Let p be 1 - (2 - 15/17). Let z = -5 - -5.4. Let q = 4.6 + z. Which is the nearest to -1? (a) p (b) 1/3 (c) q a Let w = -4 + 4.4. Let p = w - 1. Let v = p + 0.3. What is the nearest to -0.1 in 3/4, 0.2, v? v Let g(r) = -r**2 + 4*r - 3. Let m be g(3). Suppose -10 = 5*n - m, n + 10 = 4*z. Let o be z - 1 - (-2)/(-8). Which is the nearest to -1? (a) 3 (b) o (c) -0.4 c Suppose -5*m = -0*m. Suppose -5*u = -u + 16. Which is the closest to m? (a) -2/19 (b) 1 (c) u a Let n = -0.1 + 1.1. Let j = -4/69 + -37/552. Let u = 18.6 - 19. What is the nearest to 1 in j, u, n? n Let f = 0.29 + -0.09. Let i = 1 - 1.2. Let y = -4.2 - i. Which is the closest to -1? (a) y (b) 0.3 (c) f c Let g be 1/6 + (-3)/6. Let l = 3.1 - 3. What is the closest to l in g, 4, -3? g Let f = -61 - -63. Which is the closest to f? (a) 0.3 (b) 0.8 (c) 0 b Let l(i) = -i - 5. Let k be l(5). Let q be (-144)/210 - 4/k. What is the nearest to q in -3/5, -0.4, -4? -0.4 Let s = 9 - 9.5. Which is the nearest to 1? (a) -0.2 (b) s (c) -2/11 c Let x = 4.5 + -0.5. Let p = -1 + 1. Let q = p - x. Which is the closest to -2? (a) q (b) 3 (c) 2 a Let d be 18/(-16)*8/(-6). What is the nearest to -1 in -5, d, 1? 1 Let y = -146 + 151. Which is the nearest to 6.6? (a) -1 (b) -0.5 (c) y c Let i = -53/252 - 1/84. Which is the closest to i? (a) 3 (b) 2 (c) 4 b Let f = -13 + 8. Let w(h) = h**2 - 14*h + 12. Let p be w(9). Let d = -65/2 - p. Which is the nearest to d? (a) 2 (b) -4 (c) f a Let h = 0 + 0.3. Let y = h - 0.8. Let z = -4 + 7. Which is the nearest to 1? (a) y (b) 5 (c) z a Let u = 2 - 2. Let t = 0.5 + u. Let d = -3.9 + 4. Which is the closest to d? (a) t (b) -4 (c) 5/3 a Let l = -18 + 7. Let x = -6 - l. Let a be (-24)/(-494) + 2/(-13). What is the nearest to 2/7 in a, 2/3, x? 2/3 Let s = 7.2 - 7. Let f = 0.5 - s. Suppose 2*b - 3*m = -15, -5*b - 4*m = -0*m + 3. What is the nearest to 0.1 in f, b, 2/7? 2/7 Let s = 2.8 + -0.8. Which is the nearest to -0.1? (a) 4/3 (b) s (c) -1 c Let l = -11 - -16. Which is the nearest to 1? (a) -5 (b) 9 (c) l c Let d = -163 + 162.5. Which is the nearest to 1/4? (a) 4 (b) d (c) 1.9 b Let i = -5 + 7. Let w = -2.1 + 0.1. Which is the nearest to w? (a) i (b) -5 (c) -1 c Suppose -29*v = -25*v + 12. Suppose -3*n - 5 = m, -3*n - 9 = m + 2*m. What is the closest to -2/5 in v, n, 0? 0 Let d be ((-4)/3 - -1)*1. Let j = 3 + -3.1. Let u = -1 + 1. What is the closest to j in u, -0.5, d? u Let o(y) = 6*y. Let b be o(1). Suppose 5*t + x - b = 0, -5*t + 2*x - x + 14 = 0. Suppose -t*a + 4*a - 6 = 0. What is the closest to 0 in 4/5, 5, a? 4/5 Let d be (8/(-10))/(12/(-10)). Let x = -3 + 4. Which is the nearest to x? (a) 4 (b) d (c) 0.4 b Let p = -200 + 199.5. Which is the nearest to -2/15? (a) 3 (b) p (c) -5 b Let p = 21 + -23. Which is the closest to p? (a) -1/11 (b) -0.3 (c) -0.5 c Let j = 5 + -6. Let y = -11 + 9. Which is the closest to j? (a) -5 (b) 0.4 (c) y c Let i = -417 - -398.9. Let w = -18 - i. What is the nearest to w in 2, 4, 1/2? 1/2 Let c = 150 + -905/6. Let b = 283 - 5375/19. What is the closest to -0.1 in b, c, -0.4? b Let g = 0.48 + -0.68. Let h = -0.7 + -0.3. Which is the closest to h? (a) g (b) 0 (c) 3 a Let u = 3.65 - -0.35. Which is the nearest to 2/7? (a) 0.5 (b) 2 (c) u a Let n = 0.14 + -1.14. What is the nearest to 0 in n, 2, 1/3? 1/3 Let q = 0.17 - -0.53. Let a = q + -0.4. Let p = -0.4 + 0.3. What is the nearest to p in a, -5, 1? a Let h = 189 + -184. What is the nearest to 1 in h, 4, 0.1? 0.1 Let v = -36 + 41. Let k = -4/9 - -10/9. What is the closest to k in v, 0.4, -2? 0.4 Let m = -0.3 + -0.2. Let n = 2.2 - 1.8. What is the closest to 1 in -2, n, m? n Let k = -0.1 - 0. Let q = 3.4 - 17.4. Let t = 9 + q. What is the closest to k in 4/3, 3, t? 4/3 Let g = -14 + 13.5. Which is the closest to 0? (a) -3/8 (b) -1/7 (c) g b Let x = 31/70 - -2/35. Let t = 7 - 3. Let g(h) = -h + 9. Let l be g(11). What is the closest to x in l, 1, t? 1 Let j = 3 - 2.99. Let b = j + 0.09. What is the nearest to b in -1/3, -0.1, 0.2? 0.2 Let a(v) = 3*v - 1. Let x be (-3*1)/((-3)/2). Suppose -5*q = -4*c - c - 25, -x*q - 5*c - 11 = 0. Let w be a(q). What is the nearest to -1 in -0.5, w, 2? -0.5 Let v = 2.4 - 2. Let t = -40 - -39.9. Suppose -2*z = 2*z + 4*l + 16, 0 = -5*z + l - 14. What is the closest to t in z, v, -0.2? -0.2 Let l = -3.2 + 1.2. Suppose -2*o + 4 = 2. Let j be o + (1 - (-4)/(-3)). What is the nearest to l in 0, 4, j? 0 Let i = 3 + -2. Which is the nearest to -1? (a) i (b) -2/7 (c) -2 b Let t = -0.16 + -2.84. What is the closest to t in -0.1, 3, -4? -4 Let c = -0.25 + 0.05. What is the closest to 1/2 in -2, c, -1? c Let u = -37 - -41.8. Let z = 5 - u. Let p = -6 + 11. Which is the nearest to 1? (a) z (b) p (c) 3 a Let a = 0.34 + -0.04. What is the closest to -0.01 in a, -3, 0.2? 0.2 Let j = 7 - 8.8. Let x = j + 2.2. Which is the nearest to 2? (a) -0.1 (b) x (c) -5 b Let q be (10/(-35))/(10/(-14)). Let o = 4.7 + -0.7. Which is the nearest to q? (a) -0.3 (b) -0.5 (c) o a Let j = -51 + 50. What is the closest to j in 0.1, -0.01, 0? -0.01 Suppose 5*y + 3*x = 3, -7 + 4 = -3*x. Let k = -2.86 + -0.14. What is the closest to y in k, 0.4, 1? 0.4 Let k(g) = 2*g**2 - 5. Let n be k(0). What is the nearest to 7 in -0.1, -1/3, n? -0.1 Let w = -5 - -1. Let c = -15 - -17. What is the nearest to 0.1 in w, c, -3? c Suppose -5*t - 15 = -5*l, -4*t = -2*t + 4. Let x be 10/(-3) + 4/(-18)*3. Let v = l - x. What is the nearest to 0.1 in -0.3, -0.5, v? -0.3 Let b = 1.99 + 0.01. Let m = 29 - 59/2. What is the nearest to 0.1 in 3, b, m? m Let v(s) = s**3 - s**2 + s + 5. Let d be v(0). Let l = 5 - d. Let o = 4.04 + -0.04. What is the closest to l in -1/2, 1/4, o? 1/4 Let l = -15 + 14.7. Which is the closest to 10? (a) -3 (b) 2/11 (c) l b Let r(g) = -g**2 - 2*g + 17. Let n be r(-5). Let u be n/(-5) + (-1)/(-1). Which is the nearest to -0.1? (a) 2/3 (b) u (c) 0.2 c Let x = -12.3 + 7.3. Which is the closest to 1? (a) 0.2 (b) x (c) 3/5 c Let z = 4 - 3.99. Let f = -0.01 + z. Let u = -255 - -1025/4. What is the closest to f in -0.3, u, 0.4? -0.3 Let y = -69 + 69.2. Which is the nearest to 1? (a) y (b) 1 (c) -3 b Let v be -1*4/(-8) - (-9)/(-12). What is the nearest to v in -22, 0, 4? 0 Let x = -0.05 + 4.05. Let o = 2.6 + -3. What is the nearest to o i
{ "pile_set_name": "DM Mathematics" }
+ 3.5. Let h = 40216 + -40213. Which is the closest to 0? (a) 0 (b) -2/19 (c) h (d) u a Let p = -33/175 + -6/25. Let w = 1.7648 + 0.2352. What is the closest to 0 in p, w, -1/2? p Let k(q) = -6*q + 1. Let o be k(3). Let j = o + 10. Let h = -77825/6 - -12971. Which is the nearest to 1? (a) -3 (b) j (c) h c Let d be (4 - 1)*(0 + (-20)/3 + 5). What is the closest to 2 in d, 1/4, 569? 1/4 Let j(n) = n**2 - 14*n - 3. Let a be j(14). Let c = 197329/18615 + -2/3723. Let h = 381/35 - c. What is the closest to 0.2 in a, 2/5, h? h Let m = 209.1 - 209.2. Which is the nearest to m? (a) 3 (b) 31/4 (c) 0.4 c Let o be 7 - (1/3)/(8/(-576)*-2). Which is the nearest to -0.23? (a) -1/2 (b) -2/17 (c) o (d) -1.7 b Let a = -4.24 - -209.16. Let p = 205 - a. What is the closest to 1 in 3, 0, p? p Let t(s) = 19*s + 25 - 1 + 38. Let j be t(-3). Which is the closest to -1? (a) -3/7 (b) j (c) 1 a Suppose -18 + 4 = 7*g. Let d be (3/(-42))/(2/(6 - g)). Let o = 0.9 + -1.2. What is the closest to -1 in -8/3, o, d? o Let a = -2.191 - -1.991. Let g = 2/11 + -32/55. What is the closest to 0.4 in a, 0.6, g? 0.6 Suppose -4*h - 4*v = -0*v, 5*v = -2*h. Let z = -350 + 352. What is the closest to h in -1, -3/2, z? -1 Let p = -14539 - -14510. What is the closest to -0.8 in -5, p, 1? 1 Let c = 10.1 + -13.1. Let j = -619.7 + 620. What is the closest to 1 in -0.3, j, 1, c? 1 Let y = 125.27 - 125.77. Which is the closest to -2/5? (a) y (b) 1268 (c) 2/3 a Let n = 0.6191 - 0.4191. Which is the closest to 0.1? (a) -7 (b) 48/13 (c) -3/5 (d) n d Let y = 0.2709 + -0.2999. What is the closest to -1 in y, 1, 1/4? y Let a be (448/(-51))/(92/(-2)). Let c = 1/69 - a. Let u = -0.01458 - 4.98542. What is the closest to 0 in c, u, 0.1? 0.1 Let u = -0.2 + 3.2. Let r = -95984 - -95984. What is the nearest to 0.1 in r, u, 1? r Let i be (-60)/(-27) - 9 - 7/(-1). What is the closest to -2 in i, -0.4, 5, -2/79? -0.4 Suppose -p + 334 = 2*u, 3*u + 4*p = 5*u - 334. Let m = 1505/9 - u. What is the nearest to 0.068 in m, 1, -2? m Let o be 7/(-280)*-5 + (-11)/56. Let t = 137 - 687/5. Let i = 19 - 16. What is the nearest to o in t, i, -1/2? t Let h = 4.1687 - 0.1737. Let c = 0.005 + h. What is the closest to 0.1 in c, 7, -4? c Suppose 10 = -5*k + 4*k - 2*o, -1 = -2*k - o. Let j = 25 - 18. Suppose -k*v = 15 - j. Which is the nearest to 7? (a) 4 (b) -1 (c) v a Let k = -0.04 + 2.04. Let v = 773/5 + -154. Let r = -0.3292 + -0.0708. What is the closest to v in r, k, -2/7? -2/7 Let v = 0.01 - -2.89. Let w = 2.3 - v. Let o = 281 - 283. What is the closest to 2/7 in w, o, 4? w Let f = -5982575/219 + 27318. Let d = f - -2/73. Which is the nearest to -3/2? (a) 5 (b) d (c) -1/10 c Let x = 1522.4 - 1521.9. What is the closest to 55 in 2, -3/5, 7, x? 7 Let k = 5186/3 - 2494472/1443. Which is the closest to -1/2? (a) 1 (b) 0.3 (c) -3 (d) k d Suppose -5*x + 6 + 29 = 0. Suppose 63 = 2*w + x*w. Let o = 0.6 + -0.1. Which is the closest to w? (a) o (b) -5/6 (c) 2 c Let z = -1052.8 + 1052.88. Let v be (-2)/(-3)*9/(-15). What is the nearest to v in z, -1, -4, 2? z Let x = -1 + 0. Let q(p) = -2*p**2 - 5*p + 85. Let n be q(-8). Let h be n*(-2 + (-44)/(-12)). Which is the nearest to -16? (a) h (b) x (c) 0.4 a Let a = -56.913 - -57.313. Let k = -0.6 + 0.3. What is the closest to a in 0.02, 0, k? 0.02 Let m = -5520.1 - -5520. What is the closest to 0 in -4, -25, m, -0.3? m Let q = 2.0639 + -2.0359. Which is the nearest to -0.2? (a) q (b) 12 (c) -0.2 c Let v = 18.7965 - -0.2035. Let g = -0.22 + -17.78. Let k = g + v. Which is the closest to k? (a) -2/9 (b) 4 (c) 0 c Let p = 13996 + -97974/7. Which is the closest to p? (a) 9/7 (b) -0.18 (c) 4 b Let d = -1220.1 + 1220. Suppose -3*x + 0*x - 45 = 0. Let f be 2 - (48/x)/(-2). Which is the closest to d? (a) -2 (b) f (c) -0.1 c Let z = -983 + 981.62. What is the nearest to 2/7 in -1, 0.1, z? 0.1 Let i = -1 - -9. Let t be (-1)/3*18/i. Let r(m) = 42*m + 843. Let d be r(-20). What is the nearest to 1 in t, d, -2? t Let n = -0.88 + -0.12. Let p = 0.075724 + -4.075724. Let g = 0.06 - 5.06. Which is the closest to p? (a) g (b) -0.3 (c) n a Let r = -0.125 - -110.325. Let y = -110 + r. Which is the nearest to y? (a) 0.4 (b) -6/11 (c) -0.3 a Let f = -0.2 + -0.3. Suppose 29 = 6*z + 281. Let i be z/7 - (16/(-6) + -3). Which is the nearest to i? (a) f (b) 0.4 (c) -3 a Let f = -4567 + 50239/11. Which is the nearest to 1? (a) -3 (b) f (c) 130 b Let l = -5.62 + 5.52. Suppose 4*k = -19*p + 17*p + 2, -3*k - 3 = -3*p. Which is the closest to l? (a) 3/10 (b) -5 (c) k (d) -1/7 d Let o be (-62)/(-186) + 13/(-3). Let s = 4.3 + -14. Let f = s + 10. What is the closest to 1/2 in f, -0.5, o? f Let v(m) = -m**3 - 8*m**2 - 4*m + 19. Suppose y - 5*y = 4*s + 24, 2*y + 26 = -4*s. Let r be v(s). Which is the nearest to 1/3? (a) 1 (b) -7 (c) r a Let y(q) = -2*q + 16. Let l be y(7). Let d(a) = 209 - a - 419 + 215. Let x be d(7). What is the closest to 2 in l, x, -4? l Let x = -2989 - -2989.063. What is the nearest to 1 in -2/5, 2/11, x? 2/11 Let j = -25635 - -25627. Let i = 1.2 - 1. Which is the nearest to -2? (a) -1 (b) 1/4 (c) j (d) i a Let c be (-39)/30 - 1/5. Let l = 0.17 - 0.17. Let r = -626/3 + 1876/9. What is the nearest to l in -2/5, r, c? r Let k be ((0 - 0) + -2)/(-5). Let d = -82 + 88.97. Let z = -7.07 + d. Which is the closest to k? (a) -0.4 (b) -1/3 (c) z c Let n = 18.8 - 18.748. Let f = 0.088 + n. Which is the nearest to -3/5? (a) f (b) -5 (c) 0 c Let h = -0.67 - 282.33. Let r = h + 283. Let j be 1 - -1 - 3/2. Which is the closest to j? (a) 0.2 (b) r (c) 0.4 c Let o = -5 + 3. Let v = 830 - 830.5. Which is the nearest to o? (a) v (b) -2/15 (c) 5 a Let v = 282/5 + -56. Let n = -0.585 - -0.885. Which is the nearest to -6? (a) 5/2 (b) v (c) n c Let t be (1 + (-6)/8)/(-1). Let k = 0.2074 + -0.1174. Let g be 4*((-60)/(-56) - 1). What is the nearest to 0.1 in t, g, k? k Let g = -0.5363 + -1.4637. Let l = -6.3 + 6. What is the nearest to -2/7 in g, l, 4? l Let s = 0.026 + -0.01. Let n = -11.56 + 9. Let h = 3.06 + n. What is the closest to 1/2 in -0.3, h, s? h Let m = -2419 - -2419.4. Which is the closest to 274? (a) -2/9 (b) -1/10 (c) m c Let r = -1958/97 - -9887/485. Let y be (-14)/24 + 3/12. Which is the nearest to 1? (a) y (b) r (c) 0.54 (d) -2/3 c Let h(q) = 20*q**2 - 278*q - 31. Let u be h(14). Which is the nearest to u? (a) 1 (b) -101 (c) 0.4 (d) 2/13 d Let c = 49 - 48. Let q = 2 - c. Let u = 17 + -19. What is the nearest to q in 1, -1, u? 1 Let i = -1 + 0.8. Let q be (168/(-420))/(8/10). Which is the nearest to q? (a) 4 (b) i (c) 0.4 b Let z(u) = -u + 10. Let v be z(9). Let w = -1.414 - 129.986. Let p = w + 131. Which is the nearest to v? (a) -0.3 (b) -1/2 (c) p a Let r = 2402 + -2391.89. Let q = r - 9.7. Let p = 1.41 - q. Which is the closest to p? (a) -0.3 (b) 2/11 (c) 3/8 c Let w be 6/(-15) + -1 + 18/20. Let d = -10.5 + 11. Which is the nearest to w? (a) -2/5 (b) d (c) 4/5 a Let x = 4477/6 + -20519/30. Suppose b = -2*r - 123, -4*b - 28 - 216 = 4*r. Let j = x + r. What is the closest to 0 in j, 6, 4? j Let l = 508/18565 - -6/395. Which is the closest to 2? (a) l (b) 5 (c) 0.3 (d) -0.27 c Let x = 5190 - 5189. Which is the closest to x? (a) -2/13 (b) 0.2 (c) 4 (d) -6 b Let u = -0.40081 + 0.60081. Which is the closest to 4? (a) 0.39 (b) 1/3 (c) u (d) -0.4 a Let h be (0 - 2/4)/(-1). Let d = -128427 + 128425. What is the nearest to h in 1/2, 4, d, -0.4? 1/2 Suppose -5*f = 10, -3*f + 1 + 5 = 3*c. Let j = 17 - 3. Let h = j + -7. What is the nearest to 1/4 in h, c, -1? -1 Let z = -0.5871 - -0.8871. Which is the closest to 0? (a) -3 (b) 4 (c) z (d) -2/3 c Let p = 0.1 - 0. Let k = 204.9 + -242. Let f = k + 37.2. What is the closest to p in -2/9, -1, f? f Let o = -283 - -293.64. Let l = -6.64 + o. What is the nearest to 0 in 3, 0.4, 5, l? 0.4 Let t = 6922.3 + -6923. Let h = 277/5 - 55. What is the nearest to h in -0.4, t, -4? -0.4 Let v = 0.412 - 0.362. Which is the closest to -2? (a) -0.1 (b) 2/63 (c) v a Let g = 3.94 - -0.06. Let q = 278 - 264.1. Let b = q + -10.9. What is the closest to 2 in b, -4, g? b Let j be ((-10)/555)/((-22)/33). Let y = 217/185 + j. Which is the nearest to y? (a) -
{ "pile_set_name": "DM Mathematics" }
- 10, -3*a + 3 - 5 = 2*z. Suppose -290 = -3*h - 269. Suppose h*m - 955 = z*m. What are the prime factors of m? 191 Suppose -5*o + 2*o + 162 = 0. Let k(i) = -3*i**2 - 10*i - 11. Let s be k(-5). Let c = s + o. What are the prime factors of c? 2, 3 Let c(r) = -r + 13*r**2 + 12*r**2 + 3*r + 5*r + 23. List the prime factors of c(-4). 5, 79 Let s be (1 + (-18)/4)*-4. Suppose s*d = 4877 + 3495. List the prime factors of d. 2, 13, 23 Let c = 12222 - 7094. List the prime factors of c. 2, 641 Suppose x - 1999 = -b + 1628, -x = -b + 3617. List the prime factors of b. 2, 1811 Suppose -3150 = 10*g + 5*g. List the prime factors of 1/(69/g + (-14)/(-35)). 2, 7 Let i = 2035 - -10596. List the prime factors of i. 17, 743 Suppose 5*b - 5864 = 5*m + 656, 0 = 4*b + 5*m - 5162. List the prime factors of b. 2, 11, 59 Suppose 5*s + 34*x - 38*x - 10260 = 0, -5*x = -4*s + 8199. List the prime factors of s. 2, 257 List the prime factors of (-27)/(((-64)/6692)/16). 3, 7, 239 Let i(q) = -3029*q + 40. Let b be i(14). What are the prime factors of (-2*3/(-36))/((-23)/b)? 307 Suppose -24 = 1775*n - 1778*n, -2*o - 5*n = -31220. List the prime factors of o. 2, 5, 1559 Let m = 47876 - 28386. What are the prime factors of m? 2, 5, 1949 Let z be (-1)/(2 + 135/(-65)). Suppose -8*q = -z*q + 170. Suppose -q*s + 36*s - 126 = 0. What are the prime factors of s? 3, 7 Let k = 644 + -642. Let g(u) = 200*u**3 + 5*u**2 - 2*u - 1. What are the prime factors of g(k)? 5, 17, 19 Let d = 45 - 57. What are the prime factors of (d/(-14))/(17/714)? 2, 3 Let n(m) be the first derivative of 3*m**4/4 + m**3 + m**2 + 6*m + 178. Let i = 5 - 2. List the prime factors of n(i). 2, 3, 5 Suppose -3*s + 4470 = -2*x + x, 0 = -4*s + 4*x + 5960. Suppose -5*m + s = 2*v, -2*v + 1502 = 2*m - 3*m. Let g = -503 + v. What are the prime factors of g? 13, 19 What are the prime factors of ((-2)/8*-213)/(-19 + (-305240)/(-16064))? 2, 71, 251 Let u = -64 + 67. Let c(h) = -6*h**2 + 6*h - 7. Let w be c(u). Let z = 188 + w. List the prime factors of z. 5, 29 Suppose 2*s = -4*t + 7899 + 10473, 3*t = -2*s + 18374. What are the prime factors of s? 2, 5, 919 List the prime factors of (-143 + 245)/((-4)/10 + 2078/5120). 2, 17 Let x(a) = -a**2 + 2*a + 3. Let r be x(3). Suppose 12 = -4*p - r*p. List the prime factors of (-2 + 1)/(p*(-5)/(-1845)). 3, 41 What are the prime factors of 249568/616*7/2? 2, 709 Let v be (267/6)/(20/(-360)). Let n = -432 - v. What are the prime factors of n? 3, 41 Let r(j) = j**3 - j**2 + 2*j - 3. Let n be r(0). Let t(b) = 6*b**2 - b - 2. Let i be t(n). Suppose a = -0*a + i. What are the prime factors of a? 5, 11 Let v(m) = -7 - 35 - 20*m + 0. Let n be v(-5). Let b = 187 - n. What are the prime factors of b? 3, 43 Suppose 10*j = -68*j + 431028. What are the prime factors of j? 2, 3, 307 Suppose 5*x = d - 0*d - 11, 5*x + 5 = 0. Suppose -d*c = -14 + 68. Let j(a) = -18*a - 8. What are the prime factors of j(c)? 2, 7, 11 Let p(m) = -m**2 + 9*m - 17. Let b be p(6). Let i(g) = 15*g**2 + 3*g - 4. Let v be i(b). Suppose v*k = 13*k + 120. What are the prime factors of k? 2, 3, 5 Let n(w) = -w**3 + 8*w**2 + 3*w + 11. Let j be -24*((-1)/3 + -3 + 3). Let p be n(j). Let i = p - -8. List the prime factors of i. 43 Suppose 0 = 12*u + 5*u - 102. Suppose -29*i - u*i = -910. What are the prime factors of i? 2, 13 Let j = 16827 + 2846. What are the prime factors of j? 103, 191 Suppose g - 4*g + 9 = 3*n, -4*g = -4*n + 28. Suppose f - 14*c = -15*c + 1590, -4*f + 4*c + 6360 = 0. List the prime factors of (3/9)/(n/f). 2, 53 Suppose -3*r + 8*r - 3490 = -2*f, r - 681 = 3*f. Let t = 1416 - r. What are the prime factors of t? 2, 3, 5 Let c(t) = 2887*t - 12. What are the prime factors of c(4)? 2, 7, 103 Let x = 85 - 78. Suppose -13*t + x*t = -1302. List the prime factors of t. 7, 31 Suppose -3*x + 12 = 2*b - 3*b, -4*b - 12 = -3*x. Suppose -x*t = 13*t - 10931. What are the prime factors of t? 643 Suppose 2*x = 2*v + 64794, 10*x = 12*x - 25*v - 64794. List the prime factors of x. 3, 10799 Let v be (28/126 - 6620/(-18)) + -2. Suppose 2*b = -b + v. List the prime factors of b. 2, 61 Let t(a) = -6*a**3 - 3*a**2 + 2*a + 4. Let f be t(-1). Suppose 0 = -2*s + 4*q - 9*q + 639, 0 = -f*s - 4*q + 1640. What are the prime factors of s? 2, 83 List the prime factors of (-39889108)/(-5439) - (-2)/21. 2, 19, 193 Suppose -9*m = -15650 - 6517. What are the prime factors of m? 3, 821 What are the prime factors of (-103 + 5)*-1*(-2248)/(-16)? 7, 281 Let a = 38 - 38. Suppose -2*o - 2 = -4*n, -3*n + 5*o - 11 + 2 = a. Suppose 0 = n*c + c - 213. What are the prime factors of c? 71 Let h = -5141 + 8031. What are the prime factors of h? 2, 5, 17 Let k = 4007 + -583. List the prime factors of k. 2, 107 Let k(d) = d**3 - 7*d**2 - 7*d - 6. Let v be k(8). Suppose 2 = r + v*s - 0*s, s + 4 = 2*r. List the prime factors of 4 - ((-64)/r - 0). 2, 3 Let y(a) = -11486*a - 546. Let p be y(-6). Suppose 26*w = 69*w - p. List the prime factors of w. 2, 3, 5, 53 Suppose 50 + 25 = -5*w. Let n(k) = k**2 + 14*k + 21. Let d be n(w). Suppose q - 2*s - d = 43, -3*s - 228 = -3*q. What are the prime factors of q? 73 Let a be 28/(-3)*(-16)/((-320)/(-30)). Let f(h) = 4*h**2 + 21*h + 31. What are the prime factors of f(a)? 1109 Let x = -87 - -93. Suppose 0 = -2*t - 4*l + 56, 2*l = -x*t + 3*t + 68. List the prime factors of t. 2, 5 List the prime factors of (15/3)/((-15)/(-75942)). 2, 3, 4219 Let u be 7/((-14)/(-4)) - (-2 + 0). Suppose j - 1607 = -u*q, -2006 = -2*q - 3*q - 4*j. List the prime factors of q. 2, 3, 67 Suppose 1713 = 3*r + 5*t, -3*r - t + 1701 = -0*t. Let i = -215 + r. What are the prime factors of i? 3, 13 Suppose -20*l + 317600 = 30*l. What are the prime factors of l? 2, 397 Suppose -5*y - 7442 = -2*b, -4*y + 11209 = 471*b - 468*b. List the prime factors of b. 7, 13, 41 What are the prime factors of (-1)/(-24) + (-1949852)/(-96)? 19, 1069 Let i(q) = 90*q - 178. Let b be i(5). Let n = 769 + b. List the prime factors of n. 3, 347 Let o(y) = -11122*y + 8295. List the prime factors of o(-4). 52783 Suppose 3*t + 2*z = 45766, -2*t + z = -564 - 29949. What are the prime factors of t? 2, 1907 Let p(h) = 23*h**2 - 144*h + 63. What are the prime factors of p(32)? 83, 229 Let q(a) = -1075*a + 2407. What are the prime factors of q(-14)? 3, 11, 23 Suppose -38*m + 0*m + 9*m = -142361. What are the prime factors of m? 4909 Suppose -10*j = -6*j - 3*a - 302, 4*a = 3*j - 230. Let l = j - 190. List the prime factors of l/(-36) + -3 + (-248)/(-18). 2, 7 Let g be 37 - 7/((-21)/3). Suppose -f + 4836 = g*f. What are the prime factors of f? 2, 31 Let s be (5 + -6 - 1)*-114. Suppose 687 = 3*j - s. List the prime factors of j. 5, 61 Let s(u) = 521*u - 2731. What are the prime factors of s(121)? 2, 5, 37, 163 List the prime factors of (3203/(-15))/(27/(-405)). 3203 Let j = 7510 + 5847. What are the prime factors of j? 19, 37 Let s(h) = 2*h**3 - 5*h**2 + 3*h - 27. Let k be s(4). Suppose 40*i - k*i = 1561. List the prime factors of i. 223 Let n be ((-447)/3*1)/1. Suppose 31*b - 667 = 9842. Let j = n + b. What are the prime factors of j? 2, 5, 19 Let v(q) = q**3 + 20*q**2 - 24*q + 3. Let t(c) = 5*c + 9. Let m be t(-4). Let f be 229/m + (-2)/11. What are the prime factors of v(f)? 2, 3, 11 What are the prime factors of (-55041)/28*(-28)/(-63)*-2*3? 2, 2621 Let d = 10392 + 1033. What are the prime factors of d? 5, 457 Suppose 2*k - 95 = -2*v + 73, -242 = -3*k - v. List the prime factors of k. 79 Let m = 1624 - 342. Let n = m - 582. List the prime factors of n. 2, 5, 7 Suppose -3*m - 7*h + 879 = -10*h, 1148 = 4*m + 4*h. Let a = -198 + m. List the prime factors of a. 2, 23 Let f = 469 + -468. List the prime factors of 9 + (482 - (4 - f)). 2, 61 Let q = -65562 - -105794. List the prime factors of q. 2, 47, 107 Suppose 3*o = -o - 3*l + 41, -3*o - 5*l + 39 = 0. What are the prime factors of (-4 + 0)/(o/(-1536))? 2, 3 Let r be (-192)/16 - -2*3. List the prime factors of (-2)/4*5*12/r. 5 Suppose 13*q = 11*q - 360. Let y = q + 831. What are the prime factors of y? 3, 7, 31 Let b(j) = j**3 + 22*j**2 + j - 17. Suppose -10 + 30 = -2*r. What are the prime factors of b(r)? 3, 17, 23 Suppose 0 = -3*k - 3*k - 12. What are the prime factors of (-412)/k*(10 + (-40)/5)? 2, 103 Let t = 15 + -13. Suppose i = -t*i - 3
{ "pile_set_name": "DM Mathematics" }
300)*1*-6 - (-3 + 1 + sqrt(300))))*-4)**2 + 1. 4480*sqrt(3) + 235267 Simplify (5*3*sqrt(130) - sqrt(130) - (sqrt(130) + (sqrt(130) - sqrt(130)*-3)*5))/(6*sqrt(10)*3 - sqrt(10) - (sqrt(20)/(sqrt(12)/sqrt(6)) - sqrt(10))). -7*sqrt(13)/17 Simplify (2*sqrt(70)*-4 - (sqrt(70) - 1*sqrt(70))*4)/(-2*(sqrt(360) + sqrt(360)*2))*2 + 5. 4*sqrt(7)/9 + 5 Simplify 5*(3*sqrt(1152)*3 - sqrt(1152))**2*-6*-1. 2211840 Simplify (((2*sqrt(125) - sqrt(125)) + sqrt(125) - sqrt(45)/sqrt(144)) + -2*(4 + sqrt(405)*-1))**2*-2. -62629/8 + 888*sqrt(5) Simplify (((2 + sqrt(252))**2 - sqrt(252)) + 2)*-2*2 - (4*sqrt(252) + -5 - (sqrt(252)*2 + -3)**2). -168*sqrt(7) - 10 Simplify -4 + 4*6*(2*sqrt(891) + sqrt(891) + (sqrt(99) + -2 + sqrt(99))**2 + 5)*4. 288*sqrt(11) + 38876 Simplify (2*(0 + sqrt(847) + 1 - (-2 + (-3 + sqrt(847) - sqrt(847))))*-6)**2*6. 114048*sqrt(7) + 762912 Simplify 5*-6*(sqrt(440)/(((sqrt(72)*4 - sqrt(72)) + sqrt(72))/sqrt(9)))/(-3*sqrt(1100)*5). sqrt(5)/20 Simplify ((0 + (-4*(sqrt(396) - (sqrt(396) - sqrt(396)*2)) - sqrt(396))*4 + -5 + 2 + (sqrt(396) + 0 - sqrt(396)) + -1)*-6)**2. 62208*sqrt(11) + 18476352 Simplify (-4*(-5 + -4 + sqrt(343) + 3 + sqrt(343) + (-2 + sqrt(343) - sqrt(343))*2)*-5)**2. -112000*sqrt(7) + 588800 Simplify -6*((-1*(0 + sqrt(288)) - ((2 + sqrt(288) + sqrt(288) - sqrt(288)) + 4 + sqrt(288))) + 2 + -2)*2. 72 + 432*sqrt(2) Simplify -3*(((6*sqrt(1620) - sqrt(1620))/sqrt(9))**2 + (sqrt(5)*-6*-5 + 4)**2) + -1. -27049 - 720*sqrt(5) Simplify ((sqrt(242) - -3*sqrt(242)*-2 - (2 + sqrt(242) + -2)) + ((sqrt(242) - ((sqrt(242) + -1)*1 + sqrt(242))) + 1)*4)**2. -1760*sqrt(2) + 24264 Simplify 3*-1*(((sqrt(637) + -6*(2 + sqrt(637)))*4)**2 - (5 + sqrt(637) + (sqrt(637) + -1 + sqrt(637))*3)**2). -677661 - 39732*sqrt(13) Simplify ((4 + (-5 + sqrt(1300) + -1 + sqrt(1300) - (-1 + sqrt(1300) + 2)) + (0 + sqrt(1300) + -2 - sqrt(1300))*-6)*-5)**2. 4500*sqrt(13) + 34525 Simplify (-3 + sqrt(33)/(sqrt(3) + sqrt(243)*-6) + sqrt(11) + sqrt(77)/(sqrt(7)*-1) + -2*sqrt(11) + -1)*1. -107*sqrt(11)/53 - 4 Simplify ((sqrt(432) - ((sqrt(432) - 5*-1*sqrt(432) - sqrt(432)) + sqrt(432)))*1)/(1*sqrt(294)*-1 + sqrt(294) - -4*((sqrt(294)*1 - sqrt(294)) + sqrt(294))). -15*sqrt(2)/14 Simplify (2*sqrt(972)*-6*5)/((sqrt(72) + 6*1*sqrt(72))/(sqrt(96)/(sqrt(108) - sqrt(12)))). -180*sqrt(3)/7 Simplify 4*(-3*(sqrt(180) - 3*sqrt(180))*5)**2 - (2*(sqrt(180) + -1) + (sqrt(180) + -2 + sqrt(180) + 2)**2 + -3). -12*sqrt(5) + 647285 Simplify 5 + (2 + sqrt(405) + 3 - (sqrt(405) + (sqrt(405)*2 - sqrt(405)) + -1) - ((sqrt(405) + -2 + 2 + sqrt(405))**2 + sqrt(405) + sqrt(405)*-1*3)) + -2. -1611 + 9*sqrt(5) Simplify -6*((sqrt(425) - ((-1 + sqrt(425))*-2 - sqrt(425)) - sqrt(425)*-2*5 - (-4*(sqrt(425) + -3) + 0))*-2)**2. -3309504 + 60480*sqrt(17) Simplify ((-4 + (sqrt(200) + sqrt(200)*-2*-2 - (-5 + sqrt(200) + 0 + sqrt(200))) + 2*2*sqrt(200) + -2*sqrt(200)*2 + -3)*6)**2. -4320*sqrt(2) + 64944 Simplify (-2*(2 + (sqrt(2299)*-2*1 + sqrt(2299) - (2*sqrt(2299) + 4 + sqrt(2299)))*-1 + 5))**2. 3872*sqrt(19) + 147620 Simplify 4*((sqrt(1872)*-3 + -1)*6 + (1 + (sqrt(1872) - (2 + sqrt(1872))) - (sqrt(1872) - (-3 + (sqrt(1872) + sqrt(1872)*1 - sqrt(1872))))))**2. 17280*sqrt(13) + 2426512 Simplify -3*((-5*(2 + sqrt(567) + 5 + sqrt(567)) + 5*(0 + sqrt(567)) + -3)**2 + 5). -46872 - 10260*sqrt(7) Simplify -6*((-4 + 0 + sqrt(1573)*2)*5 + 4)*2. -1320*sqrt(13) + 192 Simplify (-6*(sqrt(171) - sqrt(171)*2) + 0 + sqrt(342)/sqrt(2) + (sqrt(114) - (sqrt(114) + sqrt(114)*-1*6))/((sqrt(60)*4)/sqrt(10)))**2. 38475/4 Simplify 4 + (6*sqrt(2160)*2)/(-3*sqrt(20)/sqrt(4) + (sqrt(120)/sqrt(3))/sqrt(8)). -72*sqrt(3) + 4 Simplify 3 + (-5*(-3 + sqrt(5)*-2 + sqrt(45)*-4))**2 + (5 + (-1*sqrt(405))**2)*-2 + 5. 2100*sqrt(5) + 23913 Simplify ((-4*(sqrt(170) - sqrt(170)*1)*-4*5)/(sqrt(1440)*-2 - sqrt(40)*3))**2. 0 Simplify ((1*(sqrt(495) + (sqrt(495)*-1 - sqrt(495)) + sqrt(495)))/(sqrt(99)*-1))/((-1*sqrt(36)*-1)/(1*sqrt(64))). 0 Simplify (-1*(sqrt(91)*-4 + sqrt(91)) - (3*sqrt(91) - sqrt(91))*-4)/((2*sqrt(700))/(sqrt(28)/(sqrt(63) + sqrt(7)))). 11*sqrt(13)/40 Simplify (1 + -3 + sqrt(700) + 0)**2 + 0 + -2 + (sqrt(700) + -2 - sqrt(700)) + 5. -40*sqrt(7) + 705 Simplify (1 + sqrt(245) + 1 + sqrt(245) + -2*sqrt(245) + sqrt(245) + sqrt(245) + 0)*4 + 5 + sqrt(405)*-2*-6 + 1. 14 + 164*sqrt(5) Simplify (sqrt(204) + (sqrt(204) - ((sqrt(204) + sqrt(204)*-1 - sqrt(204))*3 - sqrt(204))))/sqrt(12)*4 - (0 + -2 + sqrt(3264)/sqrt(3)). 2 + 16*sqrt(17) Simplify -3 + (5*(sqrt(1216) - (sqrt(1216) + sqrt(1216) + -1)**2)*-6 - (2 + (1*(sqrt(19) - sqrt(133)/sqrt(28)))**2)). -1200*sqrt(19) + 583761/4 Simplify ((sqrt(125) + 0 + sqrt(125))*6 - (sqrt(125) + (-3 + sqrt(125) + 1 + sqrt(125) - sqrt(125))))**2 - (3*sqrt(125)*6 - (1 + sqrt(125) + 4))**2. -23646 + 1050*sqrt(5) Simplify (-3*(0 + sqrt(567))*3 + -4 + 3*(-1 + sqrt(21)/sqrt(3) + sqrt(35)/(sqrt(20)/sqrt(4)) + 4))**2. -750*sqrt(7) + 39400 Simplify ((6*(sqrt(5) + sqrt(320) + (sqrt(320) + 1 - sqrt(320)))*-4 + ((sqrt(30)*-1)/sqrt(6) - (-1 + sqrt(320))) + 5)*-1)**2*4. 32400*sqrt(5) + 1013796 Simplify (-3 + sqrt(34)/sqrt(32) + sqrt(1377)*-2 + sqrt(1377) - (-4*sqrt(102)/sqrt(3) + sqrt(34))/(sqrt(882) - sqrt(2)))**2. 258*sqrt(17)/5 + 31658/25 Simplify (-3 + sqrt(275))*1 - sqrt(275)*2*-2 - -6*(((sqrt(275) + -1)*4 - sqrt(275))**2 + (-5 + 0 + sqrt(275))**2 + sqrt(275)). -965*sqrt(11) + 16743 Simplify 4 + (2*sqrt(429)/(sqrt(176)/sqrt(4)))/((1*sqrt(1080))/sqrt(10)*-3). -sqrt(13)/18 + 4 Simplify -6*(5 + (sqrt(1573) + 4*sqrt(1573)*-1)**2 + (-2 + (sqrt(195)/sqrt(5))/sqrt(3))**2)*-2. -48*sqrt(13) + 170148 Simplify (((sqrt(2200) - (2*sqrt(2200) + sqrt(2200))) + sqrt(88)/sqrt(16))/(1*sqrt(1100) + sqrt(11)*-2*-3 + sqrt(11)) + -4)**2*-3 + 1. -31729/578 - 468*sqrt(2)/17 Simplify (sqrt(18)*2)**2 - (sqrt(8)/sqrt(484))**2 - (((sqrt(288))**2 - sqrt(2))*-3 - ((-3 + sqrt(98))**2 - sqrt(2))). -46*sqrt(2) + 126201/121 Simplify (-4*1*-3*sqrt(204)*2)/(sqrt(588)*2*-6 + 5*(2*sqrt(588) - sqrt(588))). -24*sqrt(17)/49 Simplify (sqrt(18) + 0)**2 + sqrt(8) + sqrt(2) + 4 + -5 + (-4*(-1 + sqrt(18) + 0))**2. -93*sqrt(2) + 321 Simplify (((-1 + sqrt(99))*1)**2 + 5 + -5)*-1 + 1 + -2. -101 + 6*sqrt(11) Simplify ((sqrt(70) + 4*(sqrt(70) + 2*sqrt(70)))/(-1*sqrt(640)) + 1 + 1 + sqrt(1008) + sqrt(1008) + sqrt(1008) + 0)**2. 275*sqrt(7)/2 + 529631/64 Simplify -4*(1*(-4 + (0 + sqrt(176))*-5 + 1*(0 + sqrt(176)) + 0))**2*2. -22656 - 1024*sqrt(11) Simplify (-3*(-4 + 1*sqrt(1539) + sqrt(1539)) - (0 + sqrt(1539))*6*1)**2 + -3. -2592*sqrt(19) + 221757 Simplify ((sqrt(816) - (sqrt(816) - -1*sqrt(816)*-2)) + (sqrt(816) + sqrt(816)*1)*1)/((sqrt(750)*-4)/sqrt(10)*5). -4*sqrt(17)/25 Simplify ((-1*sqrt(1275))/(sqrt(12)/sqrt(4)*-4) - (sqrt(612) + 1 + -1*sqrt(2057) + -4))**2. 75*sqrt(17)/2 + 10769/16 Simplify (-3*((sqrt(612) - (-2 + sqrt(612)))*4*-6)**2 - (-4 + -1*sqrt(612))*-2*2) + 0. -6928 - 24*sqrt(17) Simplify ((sqrt(18) + -2 - sqrt(2) - 3*(-4*sqrt(2) - sqrt(2))) + sqrt(160)/sqrt(5) + (sqrt(2) - (sqrt(98) + 3)))**2. -150*sqrt(2) + 475 Simplify (-4 + (sqrt(76) - (sqrt(76)*-2 + 1)))**2 + -1*(-5 + (1 + sqrt(19))**2 - ((sqrt(209)*-1)/sqrt(11))**2). -62*sqrt(19) + 713 Simplify ((sqrt(140)*-2 + sqrt(140))*-6 + ((sqrt(140) - -1*sqrt(140)) + sqrt(140))*-5)/(sqrt(700)*-2*2)*-5. -9*sqrt(5)/4 Simplify ((sqrt(28) - (sqrt(336)*-1)/sqrt(12))*-5*2)/(4*((sqrt(256) - (sqrt(256) + -4*sqrt(256)*5 - sqrt(256))) + sqrt(256))). -5*sqrt(7)/176 Simplify 3*(1 + (2*sqrt(2299) - sqrt(2299))) + (sqrt(190)/(sqrt(10) - sqrt(10)*-2)*1)**2 + -4. 10/9 + 33*sqrt(19) Simplify 5*((-3*sqrt(200)/sqrt(10) - (0 + sqrt(5) + (sqrt(25) - sqrt(100))/sqrt(5) + sqrt(5)))**2 + 4) + 0. 1245 Simplify -1*((-5*(3 + (2 + sqrt(2299) - sqrt(2299)) + sqrt(2299) - (sqrt(2299)*-1 + -5)) + 3)**2 + 1). -232110 - 10340*sqrt(19) Simplify (((sqrt(475) + -1 + 5 + -3)*6)**2*-1 + 0)*3. -51408 - 1080*sqrt(19) Simplify (-1*((sqrt(1088) + -2)*-2 - (sqrt(1088) + sqrt(1088) + sqrt(1088) + 0 + 0 + sqrt(1088))**2) + -2 + -2)*-1. -17400 - 16*sqrt(17) Simplify 0 + -5*6*(-2 + ((sqrt(396) + sqrt(396) + -1 + sqrt(396))*2*-2)**2). -1711140 + 17280*sqrt(11) Simplify (-4*(0 + sqrt(320)) + sqrt(320) + 1 + 1)**2 - (sqrt(500) + 0 + 5*(sqrt(5) + 3)). -111*sqrt(5) + 2869 Simplify ((4*(sqrt(102) - (-1*sqrt(102) - sqrt(102))))/((2*sqrt(72) + sqrt(72))/sqrt
{ "pile_set_name": "DM Mathematics" }
out replacement from pppppppd. What is prob of sequence pp? 3/4 Four letters picked without replacement from nnapappapnnppap. Give prob of sequence papa. 1/65 What is prob of sequence fak when three letters picked without replacement from {k: 2, x: 1, g: 1, a: 2, o: 1, f: 2}? 1/63 Two letters picked without replacement from {v: 7, a: 2}. What is prob of sequence aa? 1/36 Four letters picked without replacement from rwwrwrrrwrerwwwwr. What is prob of sequence wwew? 1/170 Four letters picked without replacement from uuoofuo. What is prob of sequence oouf? 3/140 Four letters picked without replacement from aymmmjawmmjjyjmm. What is prob of sequence ymyj? 1/780 Two letters picked without replacement from bcrrqrooqo. What is prob of sequence oq? 1/15 What is prob of sequence eyk when three letters picked without replacement from yahheeehyzhzkez? 4/1365 What is prob of sequence ss when two letters picked without replacement from {s: 4, i: 11, a: 3}? 2/51 Three letters picked without replacement from {s: 2, c: 6, t: 6, n: 3, l: 2}. Give prob of sequence ltl. 2/969 Calculate prob of sequence ai when two letters picked without replacement from {i: 2, a: 9}. 9/55 Four letters picked without replacement from oohppophhqh. Give prob of sequence hphq. 1/220 Two letters picked without replacement from {q: 1, c: 1, w: 1, i: 2}. What is prob of sequence ii? 1/10 Four letters picked without replacement from {b: 8, z: 2}. What is prob of sequence bbzz? 1/45 Two letters picked without replacement from bgaeeease. What is prob of sequence ga? 1/36 Three letters picked without replacement from yxaax. What is prob of sequence yaa? 1/30 What is prob of sequence gv when two letters picked without replacement from vfvvvvvgegegvvg? 16/105 Four letters picked without replacement from {d: 6, j: 1, f: 1, h: 3, c: 4, b: 4}. What is prob of sequence hjfb? 1/7752 What is prob of sequence ntwi when four letters picked without replacement from {d: 2, w: 6, t: 1, n: 1, i: 2, v: 5}? 1/4760 Calculate prob of sequence dd when two letters picked without replacement from {d: 4, q: 7}. 6/55 Three letters picked without replacement from jjjmjjjmjm. What is prob of sequence mjj? 7/40 Four letters picked without replacement from {z: 1, s: 3, y: 1, e: 2, d: 4}. Give prob of sequence ysdz. 1/660 Three letters picked without replacement from tertteettltlxt. Give prob of sequence lre. 1/364 Two letters picked without replacement from {j: 3, s: 11, o: 3, p: 3}. Give prob of sequence js. 33/380 Calculate prob of sequence mpp when three letters picked without replacement from {m: 8, f: 4, p: 2}. 2/273 What is prob of sequence geg when three letters picked without replacement from {x: 2, g: 7, e: 1}? 7/120 What is prob of sequence ot when two letters picked without replacement from sssskstodksdbost? 1/60 Four letters picked without replacement from {v: 2, t: 1, r: 1, s: 1}. Give prob of sequence vrvt. 1/60 Four letters picked without replacement from {a: 2, u: 1, r: 1, b: 9}. Give prob of sequence bbaa. 6/715 What is prob of sequence ooq when three letters picked without replacement from qoqqqoqq? 1/28 Calculate prob of sequence hh when two letters picked without replacement from hfhfhfhfhfhfh. 7/26 What is prob of sequence dcy when three letters picked without replacement from chhdiyiiihdhchhiii? 1/1224 Calculate prob of sequence nz when two letters picked without replacement from {z: 1, q: 3, b: 1, y: 1, i: 5, n: 1}. 1/132 What is prob of sequence sa when two letters picked without replacement from {t: 8, a: 2, s: 3, i: 5, u: 1}? 1/57 Two letters picked without replacement from yyoepyyeoeeyeeeep. Give prob of sequence ey. 5/34 Two letters picked without replacement from ttj. What is prob of sequence tt? 1/3 What is prob of sequence fjj when three letters picked without replacement from {f: 3, n: 3, j: 8, x: 3}? 7/170 Four letters picked without replacement from vxvbsgbbhhh. Give prob of sequence xsvg. 1/3960 Four letters picked without replacement from {y: 2, z: 5, b: 8, u: 2}. What is prob of sequence uzyy? 1/2856 What is prob of sequence jhfy when four letters picked without replacement from hfhjjajfjfyjhajh? 3/1820 Three letters picked without replacement from {g: 5, l: 1, q: 4}. What is prob of sequence qqg? 1/12 Four letters picked without replacement from rzttzzrt. What is prob of sequence zrrt? 3/280 Two letters picked without replacement from {s: 3, h: 3, e: 3, q: 1}. Give prob of sequence eq. 1/30 Three letters picked without replacement from {e: 1, k: 3, h: 2, n: 1}. What is prob of sequence ekk? 1/35 Two letters picked without replacement from {b: 1, s: 2}. What is prob of sequence ss? 1/3 Two letters picked without replacement from qgyggqqggqq. What is prob of sequence qy? 1/22 Three letters picked without replacement from {r: 1, u: 1, l: 1, v: 2, p: 3, c: 3}. Give prob of sequence cvl. 1/165 What is prob of sequence js when two letters picked without replacement from {j: 3, s: 1}? 1/4 Three letters picked without replacement from ttjbjjjtktj. What is prob of sequence tkt? 2/165 Two letters picked without replacement from hjjhjjmhjjjjjmj. What is prob of sequence jh? 1/7 Three letters picked without replacement from nnrlnll. What is prob of sequence nll? 3/35 Two letters picked without replacement from jcmzzjzczcjjjczzcj. What is prob of sequence jj? 5/51 Calculate prob of sequence kc when two letters picked without replacement from cwwcfwfcsck. 2/55 Calculate prob of sequence vmm when three letters picked without replacement from mvvvvvmvvvvv. 1/66 Calculate prob of sequence fpb when three letters picked without replacement from fbxxbbbbpbxbbfbbx. 1/204 Calculate prob of sequence hoh when three letters picked without replacement from chihhhiioihihhdihihi. 1/95 What is prob of sequence zuo when three letters picked without replacement from uunozinw? 1/168 What is prob of sequence gaak when four letters picked without replacement from kvkvvvgagakv? 1/990 What is prob of sequence tt when two letters picked without replacement from gtttttgttttt? 15/22 Four letters picked without replacement from rfubrfffhbbuh. What is prob of sequence furr? 2/2145 Three letters picked without replacement from udynyzdybdn. Give prob of sequence uzd. 1/330 Calculate prob of sequence qxtk when four letters picked without replacement from {q: 1, t: 1, n: 1, x: 1, o: 2, k: 2}. 1/840 Two letters picked without replacement from {q: 2, i: 9, n: 8}. Give prob of sequence ni. 4/19 Two letters picked without replacement from yhkxhy. Give prob of sequence hx. 1/15 Four letters picked without replacement from cmpcqqu. Give prob of sequence cqpq. 1/210 Three letters picked without replacement from quqxuuuuuquuaxautuq. Give prob of sequence txx. 1/2907 What is prob of sequence xev when three letters picked without replacement from {v: 2, x: 1, e: 1, r: 1}? 1/30 Three letters picked without replacement from {m: 3, z: 4, d: 1, v: 2, q: 2, s: 2}. Give prob of sequence svm. 1/182 Calculate prob of sequence oo when two letters picked without replacement from {o: 11, n: 2, s: 1, k: 2}. 11/24 Calculate prob of sequence qv when two letters picked without replacement from aquvqraqqaahaar. 2/105 Calculate prob of sequence tttd when four letters picked without replacement from ttxttxudvtx. 1/132 Four letters picked without replacement from {h: 3, l: 4, y: 10, n: 2}. Give prob of sequence hlhn. 1/1938 Two letters picked without replacement from {u: 1, q: 1, e: 1, g: 2, z: 1, d: 1}. Give prob of sequence gz. 1/21 Two letters picked without replacement from {v: 1, z: 2, q: 3, t: 1, x: 4}. Give prob of sequence qx. 6/55 Two letters picked without replacement from {j: 1, f: 2, a: 7}. What is prob of sequence af? 7/45 Three letters picked without replacement from mkmjusm. Give prob of sequence mkm. 1/35 What is prob of sequence cz when two letters picked without replacement from {c: 1, f: 5, l: 5, x: 2, z: 3}? 1/80 Four letters picked without replacement from qxqxqq. What is prob of sequence qxqq? 2/15 Three letters picked without replacement from {m: 4, w: 12, o: 4}. What is prob of sequence www? 11/57 Three letters picked without replacement from xnlxlnxxxnxnxxxxaxx. Give prob of sequence lxn. 16/969 What is prob of sequence z
{ "pile_set_name": "DM Mathematics" }
emainder when 229699 is divided by 43. 36 What is the remainder when 489 is divided by 142? 63 What is the remainder when 522673 is divided by 33? 19 What is the remainder when 10816 is divided by 102? 4 Calculate the remainder when 1086 is divided by 123. 102 Calculate the remainder when 9653 is divided by 46. 39 Calculate the remainder when 285 is divided by 33. 21 What is the remainder when 318 is divided by 21? 3 What is the remainder when 10459 is divided by 181? 142 What is the remainder when 303658 is divided by 20? 18 Calculate the remainder when 614952 is divided by 33. 30 What is the remainder when 3657 is divided by 58? 3 What is the remainder when 4370 is divided by 294? 254 What is the remainder when 6308 is divided by 211? 189 Calculate the remainder when 128843 is divided by 9203. 1 Calculate the remainder when 100746 is divided by 48. 42 Calculate the remainder when 69839 is divided by 34917. 5 Calculate the remainder when 1270 is divided by 382. 124 Calculate the remainder when 23171 is divided by 289. 51 What is the remainder when 1086 is divided by 366? 354 What is the remainder when 23808 is divided by 243? 237 Calculate the remainder when 2285632 is divided by 14. 6 What is the remainder when 13165 is divided by 6574? 17 What is the remainder when 4567 is divided by 41? 16 Calculate the remainder when 337398 is divided by 25. 23 Calculate the remainder when 18996 is divided by 161. 159 Calculate the remainder when 127355 is divided by 944. 859 Calculate the remainder when 1928 is divided by 327. 293 What is the remainder when 2475 is divided by 19? 5 Calculate the remainder when 155436 is divided by 57. 54 What is the remainder when 8783 is divided by 59? 51 What is the remainder when 1481769 is divided by 18? 9 What is the remainder when 7734 is divided by 109? 104 Calculate the remainder when 483649 is divided by 68. 33 Calculate the remainder when 37402 is divided by 1968. 10 Calculate the remainder when 7280 is divided by 607. 603 What is the remainder when 57 is divided by 31? 26 What is the remainder when 329664 is divided by 73? 69 Calculate the remainder when 66653 is divided by 23. 22 Calculate the remainder when 4121 is divided by 877. 613 What is the remainder when 130597 is divided by 3185? 12 What is the remainder when 550314 is divided by 121? 6 Calculate the remainder when 31227 is divided by 29. 23 Calculate the remainder when 4456 is divided by 1484. 4 Calculate the remainder when 7499 is divided by 748. 19 Calculate the remainder when 141773 is divided by 510. 503 Calculate the remainder when 16712 is divided by 539. 3 Calculate the remainder when 141284 is divided by 41. 39 Calculate the remainder when 17839 is divided by 48. 31 What is the remainder when 3797 is divided by 986? 839 What is the remainder when 7720 is divided by 224? 104 Calculate the remainder when 8995 is divided by 477. 409 Calculate the remainder when 36238 is divided by 3293. 15 Calculate the remainder when 248 is divided by 202. 46 Calculate the remainder when 24073 is divided by 8010. 43 What is the remainder when 4004 is divided by 797? 19 Calculate the remainder when 231183 is divided by 58. 53 What is the remainder when 9643 is divided by 3191? 70 What is the remainder when 3051 is divided by 108? 27 Calculate the remainder when 833 is divided by 17. 0 What is the remainder when 218456 is divided by 261? 260 Calculate the remainder when 67867 is divided by 1013. 1009 Calculate the remainder when 844 is divided by 50. 44 What is the remainder when 65708 is divided by 21899? 11 What is the remainder when 100294 is divided by 9? 7 Calculate the remainder when 1138 is divided by 127. 122 What is the remainder when 12335 is divided by 102? 95 Calculate the remainder when 35699 is divided by 150. 149 Calculate the remainder when 2566364 is divided by 1072. 1068 Calculate the remainder when 812254 is divided by 8. 6 What is the remainder when 2232 is divided by 100? 32 Calculate the remainder when 434396 is divided by 800. 796 What is the remainder when 12112 is divided by 810? 772 Calculate the remainder when 78178 is divided by 167. 22 What is the remainder when 8628 is divided by 861? 18 What is the remainder when 251795 is divided by 4? 3 Calculate the remainder when 63767 is divided by 6376. 7 Calculate the remainder when 64712 is divided by 25. 12 What is the remainder when 108580 is divided by 2934? 22 Calculate the remainder when 2289 is divided by 2274. 15 What is the remainder when 12530 is divided by 1393? 1386 What is the remainder when 192365 is divided by 782? 775 What is the remainder when 625 is divided by 54? 31 Calculate the remainder when 24753 is divided by 24737. 16 What is the remainder when 1844 is divided by 534? 242 What is the remainder when 20169 is divided by 20159? 10 Calculate the remainder when 6444 is divided by 1487. 496 What is the remainder when 8144 is divided by 3987? 170 Calculate the remainder when 1154 is divided by 287. 6 Calculate the remainder when 34867 is divided by 4292. 531 What is the remainder when 3755 is divided by 805? 535 Calculate the remainder when 1205372 is divided by 40179. 2 What is the remainder when 1817089 is divided by 9? 7 Calculate the remainder when 1218 is divided by 26. 22 What is the remainder when 184606 is divided by 32? 30 What is the remainder when 5517 is divided by 1831? 24 What is the remainder when 7891 is divided by 3938? 15 Calculate the remainder when 29309 is divided by 14. 7 What is the remainder when 699027 is divided by 58252? 3 Calculate the remainder when 5719425 is divided by 132. 129 What is the remainder when 3511 is divided by 5? 1 Calculate the remainder when 69885 is divided by 64. 61 What is the remainder when 801 is divided by 561? 240 What is the remainder when 15772 is divided by 1093? 470 What is the remainder when 7367 is divided by 125? 117 What is the remainder when 5448 is divided by 11? 3 Calculate the remainder when 128 is divided by 82. 46 Calculate the remainder when 36180 is divided by 52. 40 What is the remainder when 4690 is divided by 4577? 113 What is the remainder when 1108450 is divided by 17? 16 What is the remainder when 3743 is divided by 66? 47 What is the remainder when 3210 is divided by 1024? 138 Calculate the remainder when 13599 is divided by 3321. 315 Calculate the remainder when 29127 is divided by 119. 91 What is the remainder when 114014 is divided by 3? 2 Calculate the remainder when 395936 is divided by 11312. 16 What is the remainder when 807293 is divided by 942? 941 What is the remainder when 42364 is divided by 223? 217 Calculate the remainder when 24803 is divided by 205. 203 Calculate the remainder when 3569 is divided by 11. 5 What is the remainder when 5284 is divided by 176? 4 What is the remainder when 30688 is divided by 101? 85 What is the remainder when 52246 is divided by 1196? 818 Calculate the remainder when 1004951 is divided by 312. 311 What is the remainder when 255233 is divided by 256? 1 Calculate the remainder when 22775 is divided by 4434. 605 What is the remainder when 97645 is divided by 350? 345 Calculate the remainder when 2635 is divided by 1908. 727 Calculate the remainder when 436307 is divided by 309. 308 What is the remainder when 42438 is divided by 144? 102 What is the remainder when 648 is divided by 60? 48 What is the remainder when 13646 is divided by 358? 42 What is the remainder when 2384 is divided by 113? 11 What is the remainder when 3756885 is divided by 36? 33 What is the remainder when 393022 is divided by 192? 190 Calculate the remainder when 174025 is divided by 313. 310 What is the remainder when 1600 is divided by 737? 126 Calculate the remainder when 24579 is divided by 1524. 195 Calculate the remainder when 143628 is divided by 18. 6 Calculate the remainder when 54932 is divided by 343. 52 What is the remainder when 1754 is divided by 374? 258 Calculate the remainder when 268 is divided by 231. 37 Calculate the remainder when 1252 is divided by 55. 42 Calculate the remainder when 1111280 is divided by 111128. 0 What is the remainder when 21997 is divided by 27? 19 What is the remainder when 4961552 is divided by 215? 212 Calculate the remainder when 19246
{ "pile_set_name": "DM Mathematics" }
.8 and -984645. -4663696.8 Put together 201974684426981 and 0.1. 201974684426981.1 -22039600568340 + -4 -22039600568344 What is -43581219 + 0.2708? -43581218.7292 Work out -14.4 - 45752575. -45752589.4 What is 3247 minus -99723471? 99726718 Work out -2152208891 + -55.094. -2152208946.094 What is 86.27995 less than -176388? -176474.27995 What is -224479921070 take away -0.24? -224479921069.76 What is the difference between -2 and 4322443546259? 4322443546261 What is -2.1 minus 7262032428? -7262032430.1 What is -1921512536 + -16.28? -1921512552.28 What is -1349.466938 + 193? -1156.466938 Calculate -2.3084842946 - 0.03433. -2.3428142946 Calculate -0.03763611099 + 0.166. 0.12836388901 Put together 2200852640 and -1176. 2200851464 Calculate 4.9 + 99406541561. 99406541565.9 Calculate 208181102 - -968.257. 208182070.257 Add 9880584.62155266 and -0.2. 9880584.42155266 What is -503701.284 + 6395? -497306.284 -0.9+890344727051 890344727050.1 Total of -3 and -112058.5799308. -112061.5799308 0.09978233 - 41.17273 -41.07294767 What is -0.5 + -348974923.4883? -348974923.9883 5 - -679261953624 679261953629 What is -275214997036 take away -0.3? -275214997035.7 What is the difference between 29 and -2291420943? 2291420972 What is the difference between -94.4969 and 4104819? 4104913.4969 -40045357139+-255 -40045357394 Subtract 2232553.86909 from -0.3. -2232554.16909 What is 125162943 minus -2296? 125165239 Subtract -5193899.742 from -247.6. 5193652.142 What is -216028818389665 minus -0.1? -216028818389664.9 Total of -276481905 and -19960.51. -276501865.51 Add together -412 and 56.7557703. -355.2442297 Add together 0.20523 and -11.73451. -11.52928 -57721 + -1386979.2 -1444700.2 What is 1049922 take away -196.0376? 1050118.0376 Subtract -6971088554731 from -0.29. 6971088554730.71 Subtract 12607113 from -6016.4. -12613129.4 What is 4 plus 873336157? 873336161 What is the difference between 564 and -6565985437? 6565986001 Add -2813565 and 254150. -2559415 -304024+204.2773 -303819.7227 Put together 36552 and -3253807876. -3253771324 What is the distance between -61623 and 17687177453? 17687239076 What is -14.87 plus -0.76312837? -15.63312837 Put together 7221198 and 123195. 7344393 Subtract -18 from -30166685067. -30166685049 -0.09563 - 654710.0204 -654710.11603 Calculate -279019.8995 + 114. -278905.8995 Add together 1.082 and 15.40225804. 16.48425804 Work out 2.33632 + 542179. 542181.33632 What is -10 less than 3842410900.189? 3842410910.189 Subtract -5147 from -183068550. -183063403 What is 65101255 plus -1754? 65099501 Add -172.17882 and -930653. -930825.17882 Total of 260 and -15487581905.1. -15487581645.1 -97914+7418.62297 -90495.37703 What is -0.5653 minus 1.3655451? -1.9308451 What is 15510496090 take away 0.583? 15510496089.417 What is 0.2 plus 704.32395749955? 704.52395749955 Calculate 361000 + 121701.5. 482701.5 What is 5732867 take away -11.3474? 5732878.3474 What is 13507519.6 less than 0.82429? -13507518.77571 57693230 + -1086.099 57692143.901 What is 222743336 plus -1.224? 222743334.776 Subtract -9 from -447873025289. -447873025280 Sum -6 and 1024909.05028267. 1024903.05028267 What is -0.029 - -43790905620? 43790905619.971 Add -3 and -6800772.2808. -6800775.2808 Work out 355 - -168414999922. 168415000277 Add together -1.218051 and 20371651. 20371649.781949 Calculate -1070331302034 - -5. -1070331302029 Total of 3614 and 6162050.317. 6165664.317 What is 2487458280 take away 23? 2487458257 What is 13.31 minus -645665791? 645665804.31 What is -126781 take away 0.1449549425? -126781.1449549425 What is -0.194358 take away 20.26496? -20.459318 148560665.1 - -5.26 148560670.36 What is -10815553 + -14512119? -25327672 What is the distance between -117302103.3534 and 0.19? 117302103.5434 Add together 633 and 180588208041. 180588208674 -0.052767165509 + -4 -4.052767165509 Put together -816706 and 182561346. 181744640 What is -886 take away 103404864829.1? -103404865715.1 Put together 0.112025597 and -8.3. -8.187974403 What is 142.9125008 minus 4.642? 138.2705008 What is 2.424891091914 - -0.2? 2.624891091914 What is -20.339398 plus 0.06750816? -20.27188984 What is 450866837.179 less than -41? -450866878.179 509+-0.0077927173 508.9922072827 What is -0.2 minus 19074.02275805? -19074.22275805 What is the distance between 0.41 and -59646765219? 59646765219.41 Total of -25003.6753971 and -1330. -26333.6753971 -108934602+0.1497 -108934601.8503 Total of 49831853886 and 5. 49831853891 What is the distance between 2533.64744 and -18302? 20835.64744 What is -6336287684 + 16.01? -6336287667.99 Subtract -356617841.278 from -0.2. 356617841.078 What is -2.35 + -825613344? -825613346.35 Total of -703 and 365439578. 365438875 Add together -237058709344 and -513. -237058709857 Add together -6334 and -26444188534. -26444194868 Calculate -275.28 - 9886775. -9887050.28 Calculate 126047277.3 + -15422.9. 126031854.4 Put together 5.382 and -0.048917602. 5.333082398 What is -33 minus 17079255700980? -17079255701013 Add together -0.5 and 154.50119607. 154.00119607 What is -9910456 + -0.08884841? -9910456.08884841 Add -28896118595 and -30. -28896118625 Calculate 173076 + -0.42264199. 173075.57735801 Work out 883624563529.6 + 7. 883624563536.6 -49836225112.1 + -625 -49836225737.1 Put together -41421753.2 and -0.17668. -41421753.37668 What is 42627.887714 minus -45? 42672.887714 What is -1799 - -1418.13629? -380.86371 Add together -226706.7 and 138.83. -226567.87 Add -754263471 and 0.557768. -754263470.442232 Calculate 0.423 - 30016102.21. -30016101.787 What is 1131250173 - 19562? 1131230611 -2168.075 - -4334040 4331871.925 What is -0.0934 - 223435.141? -223435.2344 Total of -7.0737 and 824592555. 824592547.9263 What is the distance between 84331 and -3607.23508? 87938.23508 Total of 20.07194 and -538572608. -538572587.92806 -9.919 - 111801580 -111801589.919 Total of 4975 and 45221695. 45226670 What is 28.75249 + -28.59? 0.16249 6829 - 55089280 -55082451 What is -15972 + -0.07786125? -15972.07786125 What is -3.017 + 147814993.96? 147814990.943 Put together -3175235068704 and -0.015. -3175235068704.015 Put together -5760.55463 and 10.913. -5749.64163 What is the distance between 3829956888 and 27497? 3829929391 27774 - -6649268618 6649296392 What is the distance between 675571.5 and 384350? 291221.5 What is the distance between 0.5 and 7208793568.5047? 7208793568.0047 Calculate -7.442 + 21.1333396. 13.6913396 -265.5+-44309619 -44309884.5 Work out -24295 + 3913386. 3889091 What is 6.437498 minus -17587? 17593.437498 What is the distance between -0.5 and -150407570269? 150407570268.5 -6974663 - 37946960 -44921623 What is -21610 minus -37086.348? 15476.348 Put together 7.296738674 and -14. -6.703261326 Subtract 39.4 from -1161.851505. -1201.251505 Subtract 2153.8159 from 7.590417. -2146.225483 -757612930 + -2318 -757615248 What is -0.5 - -331.29350277? 330.79350277 What is the difference between -2 and 5903603985845? 5903603985847 Total of 0.0738554291 and -19392. -19391.9261445709 What is -1.830725324 minus 0.12932? -1.960045324 What is 3 minus -29753413537? 29753413540 Work out -820 - -12779.96. 11959.96 What is 5 - 3990306614? -3990306609 Add together -202 and 1814071781. 1814071579 Subtract 14094279279 from -61. -14094279340 54091 - -115865310 115919401 Calculate -18.4707752 - 1835139. -1835157.4707752 Add together -19338799010 and -891. -19338799901 Calculate -1921663.84 - -33.017. -1921630.823 Calculate -1 + 16.3243561093. 15.3243561093 Total of 37672 and 36140943325. 36140980997 Work out 1 - -2116279329379.8. 2116279329380.8 What is -21 take away -743447442? 743447421 Work out 4273.77 - 80354.04. -76080.27 Calculate 5686.2 + 0.2788259. 5686.4788259 Subtract -0.3 from -358137.85791421. -358137.55791421 Calculate 292.3200866 - 2.3. 290.0200866 87380765231+-898 87380764333 Add 2.4425 and -705474704. -705474701.5575 Put together 50.68 and -1597059461. -1597059410.32 What is the difference between 4641 and 2.838484983? 4638.161515017 What is 629.4555855 + 718? 1347.4555855 Subtract 686965307 from -14677. -686979984 What is 2.7 minus -597353060? 597353062.7 What is 119.8849723 plus 153489? 153608.8849723 What is -14768354.584 less than -784.4? 14767570.184 3+866927578002 866927578005 What
{ "pile_set_name": "DM Mathematics" }
False Let s(u) = u**3 - 12*u**2 - u + 19. Is s(12) a multiple of 5? False Let j(f) = -7*f**3 + 3*f**2 + 3*f + 4. Let k(t) = -4*t**3 + t**2 + 2*t + 2. Let u(d) = -3*j(d) + 5*k(d). Is 11 a factor of u(5)? False Let r(x) = -x**2 + 11*x - 12. Let u be r(10). Is (4 + u)*(-78)/(-4) a multiple of 19? False Suppose -4*w - w = -60. Let k = -8 - -28. Let n = k - w. Is 8 a factor of n? True Let t(k) = -k**2 + 4*k + 17. Does 2 divide t(5)? True Let n(g) = g**2 - 4*g + 1. Let o be n(3). Let z be o/(-8) + (-5)/20. Suppose k + z = 28. Does 12 divide k? False Suppose -2*h + 6 = h. Suppose h*j = -3*j + 300. Let v = -20 + j. Does 20 divide v? True Suppose 0 = 29*f - 34*f + 910. Does 34 divide f? False Suppose 4*j - 3*j = 48. Is 10 a factor of j? False Let h(a) be the first derivative of a**2/2 - 4*a + 3. Let p be h(4). Suppose -7*z + 2*z + 80 = p. Is z a multiple of 6? False Is 5 a factor of (-2 + 8)*(0 + (-19)/(-3))? False Let t(j) = j**2 + 2*j - 21. Is 7 a factor of t(-9)? True Let g be (92/10)/((-3)/15). Suppose -3*s + 153 + 153 = 0. Let a = g + s. Is 24 a factor of a? False Let x be -5 + 7 + (-19 - 0). Let d = x + 38. Is d a multiple of 12? False Let v = -5 - -6. Let n = 8 + v. Is n a multiple of 3? True Suppose 0 = -3*t + d + 4585, t + 8*d = 3*d + 1507. Suppose -520 = -l - 4*f, -f + t = 3*l - 0*f. Is (-2)/7 + l/14 a multiple of 17? False Is ((-2970)/225)/((-2)/40*3) a multiple of 11? True Suppose -5*o + 4*w = -508, -3*w = 6*o - 2*o - 394. Suppose 5*x - 25 = o. Is x a multiple of 14? False Let c be 20 + (0 - (-2)/1). Suppose -21 = -h + c. Is h a multiple of 15? False Let k = 7 - 4. Suppose -29 = -5*g + 2*y, -2*y + 8 = -k*g + 23. Is g a multiple of 7? True Suppose 0 = 4*a - 3*a - 12. Suppose 5*s - 3 - a = 0. Is s a multiple of 3? True Let p = 37 + -24. Let o(d) = -d + 19. Is o(p) a multiple of 3? True Suppose 6 = 4*q + 2. Let h = q - -2. Suppose -h*i = 2*n - 2 - 52, 3*i = -4*n + 102. Is 12 a factor of n? True Let m be 0 + 3/(-1 + 4). Let t be 2 + m*(-2 + 5). Suppose -2*u + 35 = n + 15, -15 = t*u. Does 13 divide n? True Let d(g) = -g**2 + 4*g + 5. Let f(n) = -n**2 + 3*n + 4. Let l(z) = 5*d(z) - 6*f(z). Let b be l(-3). Let j = 2 + b. Does 3 divide j? True Suppose -85 = -2*g + 55. Suppose 34 = 5*v - 3*v + p, g = 4*v + p. Is 9 a factor of v? True Suppose -11 + 45 = 2*r. Is r a multiple of 2? False Let x = 0 + 5. Suppose x*f = -5*r + 45, 0 = -r - 4*f - 7 + 25. Does 4 divide r? False Is 13 a factor of (2*-2)/((-2)/26)? True Suppose 0 = 13*l - 578 + 201. Is 13 a factor of l? False Let h(z) = -z**3 - 3*z**2 + 3*z + 5. Suppose -3*c + 2*c = k + 9, c + 21 = -4*k. Is h(c) a multiple of 8? True Let k = -86 + 212. Is k a multiple of 18? True Let t(b) be the first derivative of -b**2 + 4*b + 4. Let u = -25 - -17. Does 10 divide t(u)? True Let z(c) = -12*c + 10. Let x(o) = 13*o - 10. Let w(h) = -4*x(h) - 5*z(h). Does 16 divide w(10)? False Let t = -48 + 30. Let q = t - -42. Does 13 divide q? False Suppose -5*o = -i + 51, 4*i - 73 = 2*o + 41. Does 13 divide i? True Let k = 25 + 4. Let h = -11 + k. Is 9 a factor of h? True Does 19 divide 41 + 5/((-5)/(-2))? False Suppose 0 = -5*q + c - 3*c + 597, -c = -3*q + 367. Does 35 divide q? False Let g = 0 - -2. Suppose g*c = 28 - 4. Is 12 a factor of c? True Let n be -10*(29/(-2) - -3). Suppose 5*i + 2*f - n = -f, 3*f = i - 5. Does 10 divide i? True Suppose 2*r + 5*k = 5*r - 38, 26 = r - 5*k. Let q be ((-30)/(-4))/3*r. Suppose 3*d = 6 + q. Does 6 divide d? False Suppose b = 3*b - 126. Is b a multiple of 21? True Suppose h + 7 = -t, -5*t = -2*h - 4*t - 2. Is (-1)/(2/(12/h)) even? True Let i(z) = -z**3 - 5*z**2 - 5*z - 5. Let d be i(-4). Let c be (-3)/(-3) + d - -5. Suppose c*n - 5 = 5, -42 = -4*v - 5*n. Is 4 a factor of v? True Suppose -1 = -4*l - 321. Does 14 divide l/(-6) - (-8)/12? True Let b be (8/3 - 1)*3. Suppose 0*k = -b*k + 110. Suppose -k = -4*m - 2. Is m a multiple of 5? True Let o be (2 + -2)*-1 - 53. Let h = o + 76. Does 8 divide h? False Let m(f) = 3*f + 1. Let n = 1 + 9. Does 11 divide m(n)? False Let u = -26 - -38. Does 4 divide u? True Let v(x) = -x + 6. Let k be v(0). Suppose 0 = -c + k*c. Let d(f) = f**2 - f + 4. Is 3 a factor of d(c)? False Let a(z) = -2*z**2 + 5*z + 6. Let o be a(6). Is (4 - 3)/(-1) - o a multiple of 10? False Suppose -l = -4*l - x + 3, 2*x = 3*l + 6. Suppose 2*k + 3*f = -5, l = -4*k + 3*f - 9 + 44. Is 3 a factor of k? False Suppose 2*y + z + z = 8, 5*y + 4*z - 20 = 0. Suppose -22 - y = -2*o. Is o a multiple of 4? False Suppose 0 = -w + 3, 5*l - w + 0*w - 32 = 0. Let u(g) = 5*g + 10. Does 23 divide u(l)? False Let z(n) = -105*n + 2 - 2. Let t be z(-1). Suppose 0 = -11*o + 6*o + t. Does 9 divide o? False Suppose -4*x = 5*t - 118 - 99, -4*x + 212 = 4*t. Is 8 a factor of x? True Suppose 0 = 17*s - 309 - 371. Is s a multiple of 4? True Let w(x) = -x - 3. Let h be w(-3). Suppose 0 = 4*s - h*s - 68. Does 6 divide s? False Is 12 a factor of (2/3)/(6/3195)? False Suppose 174 = -3*o + 5*o. Suppose -o - 15 = -2*w. Is w a multiple of 17? True Let t(m) = 13*m**2 - 4. Does 27 divide t(-2)? False Suppose f - 6*f + 15 = 0. Suppose f*g = 2*o - 46, 2*o - 2*g - 54 = -3*g. Suppose -5*d + 6*h = 4*h - 37, -o = -2*d - 2*h. Is 5 a factor of d? False Let f(c) = 14*c + 6. Let u be f(-8). Let r = u - -56. Does 13 divide 10/r + 136/5? False Suppose 0*z = -5*z. Let v = 3 - z. Suppose -2*r - 19 = -v*r. Does 9 divide r? False Suppose -6*d + 171 = 45. Does 7 divide d? True Let n(t) = t**3 + 9*t**2 - 3*t - 5. Let x = -11 + 8. Let l = x + -6. Is n(l) a multiple of 13? False Suppose -z = -0*y + 5*y - 5, 0 = 5*z + 3*y - 69. Suppose -g + z = 2*g. Suppose 9 + g = m. Does 4 divide m? False Let o(y) = -8 - 5*y - 3 + 1. Let k = 1 + -9. Does 12 divide o(k)? False Let u(n) = n**2 + 4*n - 3. Let y be u(-8). Let d = y - 21. Does 5 divide d? False Let r(u) = -u**2 + 2. Let l be r(0). Suppose l*q = q. Suppose -4*o = c - 30, q = 2*c + 6*o - o - 51. Is c a multiple of 9? True Suppose 4*o - 3*o = 0. Let f be (0 + o)/(9 - 7). Suppose -2*k + 3*k + 68 = 4*c, 2*k - 8 = f. Does 14 divide c? False Let i(b) = -2*b - 11. Let f be 6*1/2 - 1. Let w = f - 11. Is 3 a factor of i(w)? False Is (-9)/(-2)*(-2)/(-3) even? False Let r be 348/9 + 1/3. Suppose -2*g = -r - 51. Is 14 a factor of g + -2 + -2 + 2? False Let o = -40 + 64. Is o a multiple of 4? True Is 9 a factor of (180/14)/((-1)/(-7))? True Let f be ((-2)/4)/((-11)/(-1496)). Let b = f - -106. Does 19 divide b? True Let o(w) = -w**2 + 8*w + 1. Let b be o(8). Let k(z) = b + 3 - 9 + 4 + 4*z. Does 12 divide k(4)? False Let q = 75 + -70. Is q a multiple of 2? False Suppose 0 = i + 4*z + 11, 5 - 30 = -5*i - 4*z. Suppose 0 = -3*f - i, 7*f = -3*p + 3*f + 69. Is p a multiple of 9? True Let z(o) = o**3 - 4*o**2 - 6*o - 2. Let r be z(6). Let a be (-3)/7 - r/(-14). Suppose -29 = -p + a*k + 35, 177 = 3*p - 3*k. Is 18 a factor of p? True Suppose -r = -b - 56, 2*r - 4*b + 0*b = 106. Is 19 a factor of r? False Let p(t) be the second derivative of 4*t**5/5 - t**4/12 - t**3/6 + t**2/2 - 2*t. Is 8 a factor of p(1)? False Is (13/(-2))/((-9)/18) a multiple of 13? True Suppose 19*o - 15*o = 980. Does 21 divide o? False Suppose r - l = 2, 3*l = -r + 3*r. Let m(t) = t**2 - 4*t + 14. Is m(r) a multiple of 13? True Suppose 0 = 2*o - 4*o + 6. Suppose -o*h - 7 = -4*h. Is h a multiple of 6? False Let g(y) = -3*y - 6. Suppose -6*a + a - 45 = 0. Is 7 a factor of g(a)? True Suppose 4*y - 18 = -5*n + 42, y = 0. Let s(u) = -u**2 + 15*u - 17. Is 19 a factor of s(n)? True Suppose -6*t + t + 14 = 3*c, 0 = -2*c + 4*t + 24. Does 10 divide ((-2)/4)/(c/(-320))? True Let x(l) = 64*l**2 - l + 3. Is 11 a factor of x(1)? True Suppose 2*n = -0*n - 2*c + 6, 15 = -3*c. Is n even? True Let u(r) = -r**2 + 16*r + 13. Suppose 0 = -t + 4*t - 33. Does 26 divide u(t)? False Suppose 73 + 98 = 3*b. Does 57 divide b? True Suppose 175 = 3*q + 4*y, -2*q = -4*q + 3*y + 111. Is q a multiple of 19? True Let x be 2 - (-1)/2*0. Suppose 5*o - w + 62 = 167, -4*o + x*w + 84 = 0. Is o a multiple of 14? False Let q(h) = 63*h**3 - 2*h + 1. Let g be q(1). Suppose s - m - 23 = 0, -2*m + g = 2*s - 0*m. Is 9 a factor of s? True Let m(f) = -f + 2. Let s be m(5). Let p be -5*3/(3/10). Does 8 divide p/(-3) + 2/s? True Let z(n) = 2*n - 6. Let b(x) be the first derivative of x
{ "pile_set_name": "DM Mathematics" }
et x(a) = -a**3 + 2*a**2 + 2*a - 2. Let q be x(3). Let r be 1*-4*1 + (-184 - -189). Sort -1, r, q in ascending order. q, -1, r Suppose k - 6*k = 0. Suppose z = -4*w + 3, -w - 4*z + 1 - 19 = k. Sort w, -2, -5 in decreasing order. w, -2, -5 Suppose -5*s + 36 = -44. Sort 0, -3, s. -3, 0, s Let v(r) = r - 9. Let j(c) = 6*c - 10. Let f be j(3). Let m be v(f). Put m, 4, 1 in descending order. 4, 1, m Let q = -66 + 64. Sort q, -4, -2/7 in decreasing order. -2/7, q, -4 Let d = -2 - -2. Suppose -5*g = 4*g + 18. Put -5, g, d in decreasing order. d, g, -5 Let t = 12173/25 - 487. Let z = 5.6 + -5. Let o = 2.6 - z. Sort t, 0, o in decreasing order. o, 0, t Let p(v) = 3*v**2 + 1. Let h be p(1). Suppose -8 = h*a + 8. Put 4, -1, a in ascending order. a, -1, 4 Let p be 1*-1 + 3 + -6. Let f be 2/8 + 17/p. Put -2, 1, f in increasing order. f, -2, 1 Let a = 0.04 - -4.96. Let l be -1 - (0 - (-9)/(-11)). Let d = 17/33 + l. Sort a, -0.2, d in descending order. a, d, -0.2 Suppose 24*g + 44 + 76 = 0. Suppose 5*q - d = 3*d + 14, q + 2*d = 0. Let m be 2 - 2*(-1)/q. Put 1, g, m in ascending order. g, 1, m Suppose 0 = 2*x + 4*l - 20, l - 15 = -x - 2*l. Let m = -1 + -2. Let p be 4/(-14) + (-9)/(-7). Put m, p, x in ascending order. m, x, p Let c = -26 - -27. Sort 11, c, -0.1 in increasing order. -0.1, c, 11 Let m(f) = -f**3 - 9*f**2 - 2. Let d be m(-9). Put 0, -1, d in decreasing order. 0, -1, d Suppose 11 - 28 = -x. Let r = x - 12. Sort 4, 1, r in descending order. r, 4, 1 Suppose 0 = 5*l - 4 - 6. Suppose -g - 3*j = -1 - 7, -12 = -4*g - l*j. Sort -3, 4, g. -3, g, 4 Let n = 0.29 + 0.11. Put -6, 0.3, n in descending order. n, 0.3, -6 Suppose a + 24 = 22. Put 4, 1, a in descending order. 4, 1, a Let k be -2 + 34/(-4) - (-2)/(-4). Sort 3, -2, k, 2 in decreasing order. 3, 2, -2, k Suppose 70 = 4*c + 6. Suppose -c = w - 5*w. Suppose 4*v = x - 1 + w, -4*x - 3*v = 12. Sort -4, x, -2. -4, x, -2 Let c = 9/44 - -113/308. Put 3/4, c, 0.1, -0.4 in ascending order. -0.4, 0.1, c, 3/4 Let c = 15 - 16. Sort -2, c, -0.4 in decreasing order. -0.4, c, -2 Let v = 1.4 + -1. Let d = -0.1 + 4.1. Sort d, v, 5 in descending order. 5, d, v Let t = 4 - 3. Let x = -74 + 48. Let i = 26 + x. Sort t, i, 2 in increasing order. i, t, 2 Suppose -3*f - 5*n = -28, 2*f - 3*n = 7*f - 36. Let c = 8 - 5. Suppose c*h + 12 = f. Sort 0, h, 5 in descending order. 5, 0, h Suppose 0 = 5*v - 2*p - 1 + 4, -2*v - 4*p = -18. Let d = -10.4 - -6. Let j = d + 4. Sort j, -1/6, v in decreasing order. v, -1/6, j Let g = -23 + 18. Put -0.2, 5, g in ascending order. g, -0.2, 5 Let x = -8.498 + -0.202. Let n = x + 9. Put 0.4, 3/7, n in decreasing order. 3/7, 0.4, n Let j = 37.6 + -35.61. Let p = -0.03 + 0.02. Let r = p - j. Sort -3, 0.5, r. -3, r, 0.5 Let p(k) = k + k**3 + 10*k**2 - 5*k + 5*k + 10 + 0*k. Let g be p(-10). Suppose 2*f + 2 = -g*f. Put 4, 1, f in increasing order. f, 1, 4 Let x(u) = u**3 - 8*u**2 - 9*u + 3. Let j be x(9). Sort 47, 4, j, 2 in decreasing order. 47, 4, j, 2 Suppose -5*q + 140 = 5*y, 2*y - 10 + 2 = 0. Let i = -27 + q. Suppose -7*a + 8 = 3*z - 3*a, -z - 2*a = -4. Sort z, i, 2. i, z, 2 Let q = 18.91 - 19. Let u = 0.29 + q. Sort -0.1, u, 3/8. -0.1, u, 3/8 Let w(f) = f + 22. Let b be w(-20). Put b, 5, -4 in descending order. 5, b, -4 Let t = -3 + 1. Sort -3, t, 5 in increasing order. -3, t, 5 Let j be 0/((1 - -2)/3). Sort -5, -2, j, 1 in decreasing order. 1, j, -2, -5 Suppose -s - 44 = -3*u + 6, -4*s = -2*u + 40. Put -1, u, 0 in descending order. u, 0, -1 Let d = -5.005 - -0.005. Put 2/15, 4/5, d in increasing order. d, 2/15, 4/5 Let j = -6/13 - -28/117. Suppose 3*n + 8*n = -n. Sort n, 1, j. j, n, 1 Let s = -6 - -4. Let y = s - 0. Let w = -4 + 0. Put w, 1, y in descending order. 1, y, w Let i(p) = -5*p - 1. Let o be i(-3). Let b be (2 - 0)/(7/o). Let a be ((-2)/(-6))/(8/(-6)). Put a, -1/5, b in descending order. b, -1/5, a Let u(v) = 10*v**3 - 11*v**2 + 5*v. Let j(d) = 3*d**3 - 4*d**2 + 2*d. Let s(b) = -7*j(b) + 2*u(b). Let x be s(5). Suppose -2*p = -7*p + 20. Sort 3, p, x. 3, p, x Let q = 2/69 + -148/345. Let l = -13.7 + 8.7. Put -0.5, q, l in decreasing order. q, -0.5, l Let i = 1 + -0.99. Let j = i + 0.29. Put j, 3, -2/9 in ascending order. -2/9, j, 3 Suppose 50 = 14*a + 11*a. Let w(c) = -c**2 - 5*c - 4. Let y be w(-5). Put a, y, -10 in decreasing order. a, y, -10 Let i be -1 + 3/((-15)/(-2)). Let u be (-4)/(-6) - (-100)/(-6). Let k = u + 11. Put i, k, -2/9 in decreasing order. -2/9, i, k Let d be 34/(-10) - ((-36)/(-10) + -3). Let p be (-1)/4*-2*0. Sort p, d, -2 in ascending order. d, -2, p Let v = 0 - -1. Suppose 20 = 3*i - 7*i. Suppose -5*g + 15 = f - 0, 4*g + 5*f = -9. Sort v, i, g. i, v, g Let a = -269/2 - -134. Sort 0.1, a, 1/3, 3 in decreasing order. 3, 1/3, 0.1, a Let t = 2 + 0. Sort t, 8, -2, -4 in descending order. 8, t, -2, -4 Let z be (-2)/1 - (-57)/24. Sort -4, z, 3 in ascending order. -4, z, 3 Let i = 0.66 - 11.26. Let g = i + 11. Sort -2, g, 1/6. -2, 1/6, g Let o = 0 - 4. Suppose 11*y - 73 = -128. Sort 5, o, y in ascending order. y, o, 5 Let o = -0.7 + 0.4. Put 2, 3, o in ascending order. o, 2, 3 Suppose -3*i = 3, 0 = -3*g + 2*i + 2*i - 5. Let q = 0 - -2. Suppose 5*v = -19 - 6. Sort g, q, v in ascending order. v, g, q Let y be 2 - (35/10 + -2). Sort 0.1, y, 0.2, -1 in ascending order. -1, 0.1, 0.2, y Let w = 14 - 12. Sort 4, 3, w. w, 3, 4 Suppose 5*h = -0*h + 5. Suppose -5*p - 2*m + 22 = 8, -2 = -m. Put -1, p, h in decreasing order. p, h, -1 Suppose 6*z - 12 = 12. Suppose 2 = 2*p - 2. Suppose -4*q + 2*a = 5*a + 9, 2 = p*a. Put q, z, 0 in increasing order. q, 0, z Let k = -2.01 + 2.04. Sort -1/3, -1/5, -1, k. -1, -1/3, -1/5, k Let p = -42 + 45. Sort -2, -9/2, p, -0.3. -9/2, -2, -0.3, p Let g(h) = h**3 - h**2 - 2*h + 2. Let a be g(2). Let s = 0.3 - 0.2. Let u = 76 - 77. Sort a, s, u. u, s, a Let t be (2/4)/(3/6). Let f(u) = -2*u**3 - 5*u**2 - 3*u + 2. Let j be f(-2). Sort j, 2, t in descending order. j, 2, t Let d(x) = x**3 - 5*x**2 - 7*x + 3. Let h be d(6). Put h, 5, -1 in decreasing order. 5, -1, h Let c = 120 + -118. Sort 4, c, -5, 5 in increasing order. -5, c, 4, 5 Let r(s) = -s - 6. Let q be r(-4). Put 3, -4, q in descending order. 3, q, -4 Let g be -3 + 2/8*4. Let t = -4 - g. Let a be (-1 - (0 - 2))*-5. Sort 5, t, a. a, t, 5 Let m = 0.8 - 0.5. Let d = -33 + 32.8. Sort d, m, -5 in decreasing order. m, d, -5 Let i = 2 + 1. Let a = 0 - 0.1. Let z = 0.4 - a. Sort i, z, 5. z, i, 5 Let n = 899 - 5527/6. Let w = n + 22. Put 0.1, w, -3/8 in decreasing order. 0.1, w, -3/8 Let r = -17.7 - -18. Let t = 10 - 15. Put 0.5, r, t in descending order. 0.5, r, t Let i(j) = -j**2 - 4*j + 7. Let w be i(-5). Let z be (w/(-6))/((-3)/27). Let o be z*(1 + 8/(-9)). Sort o, 1, -4 in decreasing order. 1, o, -4 Let s = -22 + 26. Sort 5, s, -4 in increasing order. -4, s, 5 Suppose -6 = 3*s - 5*s. Let n(b) = -b + 2. Let w be n(s). Suppose 7*l - 2*l = -4*p - 18, -12 = 5*p + l. Put w, -5, p in decreasing order. w, p, -5 Let d = 1 + 20. Suppose -5*l + 1 = d. Suppose -8*i + 6 = -11*i. Sort 0, i, l in descending order. 0, i, l Let o = -3514 - -3608.94. Let n = 93 - o. Let z = 0.06 - n. Sort z, 0.3, -5 in ascending order. -5, 0.3, z Let h(v) = 0*v + 2*v - 3*v. Let p be h(6). Sort 0.4, 1, p in decreasing order. 1, 0.4, p Let v(q) = 9*q - 2*q**2 + 10 - 7 + q**2 - 8. Let x be v(8). Put 4, 1, x in descending order. 4, x, 1 Let o = 32 + -34. Sort 7, o, 1 in increasing order. o, 1, 7 Suppose -3 = 13*r - 42. Put r, 23, -3 in increasing order. -3, r, 23 Let i = -2 - -3. Let h = -0.17 + -12.83. Let z = 12.5 + h. Sort i, 5, z. z, i, 5 Suppose -5*u + 3*j - 7 = -3*u, 4*u - 16 = -4*j. Let y(k) = k - 10. Suppose -2*h = -5*m, 5*h = 5*m + 25 - 10. Let g be y(h). Put u, g, 0.1 in decreasing order. u, 0.1, g Suppose -2*x - n + 61 = -6*n, -2*x + 2*n + 52 = 0. Let s = -11 - -16. Suppose 0 = 5*t + f + 10, t - s*f - x = -t. Put 3, t, -5 in descending order. 3, t, -5 Let h = 27.5 - 27. Put h, 0.02, -4 in decreasing order. h, 0.02, -4 Let o be 2/(1 + -2)*2. Let n be 4/35 + o/(-14). Let x(r) = -r - 2. Let v be x(-2). Sort -0.4, v, n in descending order. n, v, -0.4 Let g = 0 - -5. Let c = 12 + -13. Put -4, c, g in descending order. g, c, -4 Let n(l) = 2 + 2 - 1 + l. Let u(i) = 2*i**2 - 19*i + 6. Let b be u(9). Let g be n(b). Put -4, 1, g in dec
{ "pile_set_name": "DM Mathematics" }
se -9*t + 31*t = 11880. Does 5 divide t? True Does 72 divide 4/9 + 248784/108? True Let q = -11 - -13. Let i(j) = 2*j**3 - j**q - 3 + 2*j - j**3 + 21. Is i(0) a multiple of 6? True Suppose 2*a + 10 = w + 5*a, -5 = -5*a. Let m(x) = 23*x - 21. Is 30 a factor of m(w)? False Let c = -77 - -40. Let x = 55 + c. Does 12 divide x? False Suppose -4*g - 2*a - 264 = 0, 2*g + a = -4*a - 140. Does 5 divide g/(-8) + 1/(-8)? False Let w = 4928 - 2151. Is w a multiple of 57? False Let o(a) = 1. Let x(n) = 19*n**2 - 2*n + 4. Let y(z) = -3*o(z) + x(z). Is 6 a factor of y(-2)? False Suppose 0 = 2*x - 4 - 0. Let a = -32 - -82. Suppose 0 = -x*b - a + 164. Is 19 a factor of b? True Let d(s) = -2*s**3 + 32*s**2 + 5*s - 26. Is d(10) a multiple of 54? False Suppose -13 + 18 = -5*b, -t + 5*b + 983 = 0. Does 18 divide t? False Let m(q) = -3*q + 21. Let t(r) = 5*r - 20. Let g(l) = 5*m(l) + 4*t(l). Does 15 divide g(10)? True Let d = 28 + 2. Suppose d = 5*x + 5*a, 11 = 3*x + a + 1. Suppose v - x*s - 32 = 0, 4*s + 127 = 3*v + 41. Is 11 a factor of v? True Let v(p) = p**2 - 14*p + 13. Let f be v(13). Suppose 42*s - 43*s + 120 = f. Does 30 divide s? True Let d be -6*(-3)/(-18)*-3. Let i be (1/d)/(2/36). Suppose -40 = -10*s + i*s. Is 10 a factor of s? True Suppose 396 = -77*p + 80*p. Let a = p - 42. Is 9 a factor of a? True Is ((-6)/15*-24)/((-12)/(-560)) a multiple of 32? True Let u be (6/(-9) - 0)*-6. Let l(m) = -u + 3*m + 15 - 8*m. Is 14 a factor of l(-9)? True Suppose a - 6 = 3*a, -2*a - 1450 = -2*d. Does 35 divide d? False Let j be (161 - 2)/(12/8). Let b = 187 - j. Is 9 a factor of b? True Suppose 0 = 3*l - 18 - 33. Suppose -2*r - z = -l, 5*r - 2*z = -3*z + 44. Is 4 a factor of r? False Let d(a) = -4*a**3 + 6*a**2 - 30. Does 13 divide d(-5)? False Let g(d) = 31*d**2 - 5*d + 3. Does 13 divide g(2)? True Is (-32)/(-56) + (-54668)/(-28) a multiple of 9? True Suppose 17 = c - 213. Suppose -2*m - y + 113 = -0*m, c = 4*m - 2*y. Does 10 divide m? False Let k(t) = t**3 - 7*t**2 + 11*t - 13. Let u(r) be the second derivative of -r**4/12 - 3*r**3/2 - r**2 - 7*r. Let s be u(-8). Does 8 divide k(s)? False Let w(j) = -j - 20. Let t be w(-12). Is 2 a factor of 22/(-4)*16/t? False Let c(n) = 3*n**2 + 3*n - 4. Let s be c(-3). Let v(k) = 2*k + 32. Does 15 divide v(s)? True Suppose 0 = 5*n + 3*y - 344, -n = -3*y + 20 - 78. Let j = n - 39. Is 14 a factor of j? True Suppose -387 = -5*q + 853. Is q even? True Suppose 10 = t + 6. Suppose -x = -4*h + 18, -3*h = t*x - 5*h + 2. Suppose d + 3*d = 4*p - 160, d - 74 = -x*p. Is 11 a factor of p? False Let m(a) = a**2 - 6*a + 6. Is 13 a factor of m(-6)? True Suppose -4*a - 1088 = 4*n - 3620, -3*n = -a - 1887. Suppose 0 = -26*q + 21*q + n. Does 38 divide q? False Suppose 87*z - 30 = 90*z. Let s = z + 74. Is 8 a factor of s? True Suppose -4*c = 3*a - 1338, 0*a - 5*c - 427 = -a. Is 4 a factor of a? False Let r = -22 + 12. Let n be (-4)/r + 28/5. Does 18 divide (n/(-7))/((-1)/21)? True Suppose 15*i - 2430 = 7140. Is i a multiple of 19? False Let i(h) = h. Let f(q) = q. Let n(y) = f(y) + 2*i(y). Let c be n(6). Let r = c + -10. Does 3 divide r? False Suppose -3*z + l + 409 = -2*z, 0 = -4*l - 12. Is 29 a factor of z? True Let a be (-2)/(-8)*-2*-6. Let o be -2 + a - (4 + -6). Suppose -3*n = -21 + o. Is 2 a factor of n? True Let c(l) = l. Let s be c(0). Suppose 47*o = 52*o - 30. Suppose -11*g + o*g + 195 = s. Does 8 divide g? False Suppose 10*g - 11263 = 7037. Is g a multiple of 10? True Let n(v) = -37*v - 66. Does 31 divide n(-11)? True Suppose i - 303 = -3*w, 3*w = 2*i - 2*w - 661. Suppose 2*a = -a + i. Is 20 a factor of a? False Suppose 4*n - 174 = -3*i + 59, 2*n + 174 = 2*i. Is i a multiple of 5? False Let h = 5 - -3. Let k(u) = -u**3 + 8*u**2 - u + 10. Let n be k(h). Suppose 4*l = -n*d + 66, 0*l + 42 = 3*l + 3*d. Is 6 a factor of l? False Let j = -133 + 393. Is 10 a factor of j? True Suppose -4*p - 12 = -5*g, 0*g = 4*g. Is 27 a factor of -2 + 2*28 - (p - -3)? True Let h = 322 - -613. Does 11 divide h? True Let z = -12 + 14. Suppose 7*v + z*v = 387. Does 12 divide v? False Let p(o) = 32*o**3 - o**2 - o + 6. Does 32 divide p(2)? True Does 5 divide 435 - -13 - 5/((-15)/21)? True Let i be 16/10*(-5)/(-2). Suppose i*o = -2*g + 56, -8 = -3*o - g + 34. Is o even? True Suppose -1209 = 12*s - 6093. Does 11 divide s? True Suppose -4*n + 31 = -n + 5*k, -n + 3*k - 13 = 0. Suppose 3*h + 166 = 4*h + 5*t, 4*h - n*t - 620 = 0. Is 12 a factor of h? True Let x be 16/56 + 4/(-14). Suppose -k - 2*k = -6. Suppose x = -5*a - 3*q + k*q + 205, 2*a - 59 = -5*q. Does 15 divide a? False Suppose -a + 3*g - 20129 = 0, 4*a + 28646 = -5*g - 51819. Is (-4)/30 + a/(-150) a multiple of 14? False Let m(v) = v**2 - 11*v + 9. Let t = 35 - 25. Let k be m(t). Does 22 divide 2 - 2 - -21 - k? True Suppose -2*l + 3*a = -8, 6*l - 2*l = -3*a + 16. Suppose 0 = -0*z + z - 2*w + 7, l*z = 4*w - 12. Let q(i) = 11*i**2 - 1. Does 10 divide q(z)? True Let b = 116 - 83. Let n = 59 - b. Is n a multiple of 4? False Let n(i) = 9*i - 24. Let u be n(8). Suppose -47*m - 34 = -u*m. Is m a multiple of 13? False Let p(f) = 2*f**3 - 22*f**2 + 7*f - 13. Let j be (-11 + 9)*(-11)/(-4)*-2. Does 8 divide p(j)? True Let k(u) = -u**3 - u**2. Let f(v) = -3*v**3 - v**2 - v + 5. Let a(n) = f(n) - 4*k(n). Is a(-3) a multiple of 2? True Let k(w) = w**2 + 6*w + 5. Let c be k(-1). Suppose c = f - 2*s - 62, 0*f - 4*f + 237 = 3*s. Does 12 divide f? True Suppose -3*d + 0*d - n - 2 = 0, -3*n = 15. Let j(q) = 17*q**2 + 2*q - 1. Is 14 a factor of j(d)? False Let y = -8 - -6. Let n = y - -9. Is 9 a factor of (-2)/n + (-466)/(-14)? False Suppose 1321 = -7*r + 3470. Is r/3 - (4/(-6) + 1) a multiple of 34? True Suppose -a + 4*y + 68 = 0, -2*y = -4*a - 7*y + 188. Is 78/a + (-154)/(-4) a multiple of 23? False Suppose -5*k + 490 = -0*k - 4*j, 98 = k + 3*j. Let b = k - 49. Is b a multiple of 23? False Let k = 167 - 55. Is k a multiple of 14? True Let z be 3/(6*(-2)/(-8)). Suppose 30 = 7*y - y. Suppose 0 = o + 5*b - 3*b - 38, 0 = -y*o - z*b + 230. Is o a multiple of 23? False Let k be ((-2)/(-3)*30)/(-1). Let r = k - -11. Let m = r + 23. Is 3 a factor of m? False Let n(c) be the second derivative of 22*c**2 + 0 - 1/6*c**3 - 7*c. Does 22 divide n(0)? True Suppose -18 = -10*p + 4*p. Suppose 6 = -p*h - 3*o, -3*h - 2*h = -3*o - 30. Suppose a = h*a - 166. Does 16 divide a? False Let g = 906 - 378. Is 16 a factor of g? True Let v be (10/3)/((-2)/3). Let q be 48/60 + (-41)/(-5). Let b = v + q. Is b a multiple of 2? True Let m be (994/71)/(1/1 + 1). Suppose 5*j - 1999 = -649. Suppose m*r - j = 2*r. Is 12 a factor of r? False Let o(u) = -11*u - 20. Is 2 a factor of o(-6)? True Suppose 0*m - 20 = -5*m. Suppose m*v - 152 = 104. Is 9 a factor of v? False Suppose -13*p + 54 = 15. Suppose -5*k = 3*l - 133, -l = p*k + k - 56. Is 4 a factor of l? True Let t(p) = -1 + 17*p**3 - p**2 - p - 3*p**3 + 4*p**2 + 10*p**3. Is t(1) a multiple of 16? False Suppose 4*l - 3*b = 26, -5*l - 19*b + 15 = -14*b. Is 4 a factor of l? False Suppose 0*n - n = 338. Let i = 489 + n. Is 32 a factor of i? False Does 9 divide 338 + 24/6 + -9? True Suppose 36 + 60 = p. Suppose 4*y + p = 7*y. Is y a multiple of 8? True Suppose -5*z = 4*j - 1849, -3*j + 6*j - 5*z = 1343. Is 57 a factor of j? True Suppose 53 + 33 = 4*l - 2*p, 0 = -l - p + 29. Suppose i - l = 3*c - 6*c, 4*c + 176 = 4*i. Is i a multiple of 16? False Let j(y) = -17*y + 68. Let c be j(3). Let m be (-2)/(-3) - (-158)/6. Suppose m = d - c. Is d a multiple of 11? True Suppose 24 = 7*y - 32. Let h(j) = 5*j**2 - 9*j - 18. Does 27 divide h(y)? False Let f = -9 - 1. Let w(u) = -3*u - 24. Let o be w(f). Let s(m) = m**2 - m + 8. Does 8 divide s(o)? False Let h(b) = b**3 - 16*b**2 - 25*b + 50. Does 24 divide h(18)? False Suppose -5*j - 75 = -8*j. Let k = 27 - j. Is 30 a factor of (-3 - (-31)/1) + k? True Suppose k = 659 + 169. Suppose 8*p - 2*p = k. Is p a multiple of 23? True Suppose -4*l + 765 = -51. Suppose -7*q - l = -3*q. Let k = -35 - q. Is 5 a factor of k? False Let u = -282 + 649. Is 39 a factor of u? False Let d be (-58)/(-4)*2 - 3. Suppose -d = -w - 8. Let z = w - -60. Does 26 divide z? True Let w(i) = -195*i + 30. Let o be w(6). Does 18 divide o/(-9) + ((-10)/(-3))/(-5)? True Let r(b) = -4*b**2 - 7*b + 8. Let q(s) = 5*s**
{ "pile_set_name": "DM Mathematics" }
+ q + 0*q**2 + q**2 - 2*q**2 + (-3 + 3 - 2*q)*(4*q - 3*q - 2*q) + (-3*q + 0*q + 2*q)*(3*q - 8 + 8). -2*q**2 Expand -2*o**4 - 1 + 1 + (-3*o**3 + 5*o**4 + 3*o**3)*(-2 + 1 + 0) - 2*o**4 - 4*o**4 + 4*o**4. -9*o**4 Expand (-2*s**2 + 2 - 2)*((0*s - s + 0*s)*(4 - 5 + 0) - 6*s + 8*s - 7*s). 8*s**3 Expand (-1 + 2*b + 1)*(-7*b + b - 3*b + (0 + 4 - 7)*(-3*b + 2*b + 3*b)). -30*b**2 Expand (n**2 - 5*n**2 + 2*n**2)*(-2*n + 3*n - 2*n) + (n + 0*n + n)*(2 - 3 - 3)*(3*n**2 - 3*n**2 + 2*n**2). -14*n**3 Expand (-k**2 + 0 + 0)*(2*k + 4*k + 0*k) + (-4 + 0 + 1)*(1 + k**3 - 1). -9*k**3 Expand (-2*s + 0 + 0 - 1)*(12 + 7*s - 12)*(-2*s + 2*s + s) + (2*s - 2 + 2)*(3*s**2 - 3*s**2 + s**2). -12*s**3 - 7*s**2 Expand -5 + 5 - s + (6 - 1 - 2)*(-s + 0*s - s) - 4*s + 3 - 3. -11*s Expand (2*u**2 + 2*u**2 - u**2)*(3*u - u + 7*u). 27*u**3 Expand 0*w + w - 2*w + w**2 - 8 + (2 - 2*w - 2)*(0*w - 2*w + 4*w). -3*w**2 - w - 8 Expand (2*g - 2*g + 2*g)*(4*g - 6*g + 6*g). 8*g**2 Expand -2*u**2 + 5*u**2 + 0*u**2 + 2*u - 2*u + 2*u**2 + (3*u - 3*u - 2*u)*(-6*u + 3*u + u) + 2*u**2 - u + u + 2*u**2 - 5*u**2 + u**2 - 2 + 2 - u**2. 8*u**2 Expand (1 + 1 + 0)*(n**3 - 18*n**3 + n**3). -32*n**3 Expand (-2*c**2 - c**2 + 4*c**2)*(-c + 0*c + 3*c) + 2*c**3 + 9*c**3 + 0*c**3 + 5*c**3 - 3*c**3 + 0*c**3. 15*c**3 Expand (-29*p + 72*p - 34*p)*(-1 + 2 - 3). -18*p Expand (-2*p**2 + p - p)*(4*p**2 - p**2 - p**2) - 8*p**4 + 0*p**4 + 6*p**4 - 2*p. -6*p**4 - 2*p Expand (-55 + 30 - 55)*(-2*m + 3*m + m). -160*m Expand 9*x**4 + 5*x**4 - 11*x**4 + (2*x**3 - 2*x**3 - 2*x**3)*(0*x + x + x) + 2*x**4 + 2*x - 2*x. x**4 Expand 7*d**3 - 6*d + 6*d - d**3 - 2*d**3 + 4*d**3 + (d**2 - 2*d**2 + 3*d**2)*(d + 5 - 5). 10*d**3 Expand (3 - 2 + 0)*(1 - 17*x**2 + 17*x**2 + x + x**3). x**3 + x + 1 Expand (4*f**3 + 11*f - 11*f)*(4*f - 2*f - 2 + f) - f**3 - f**4 + f**3. 11*f**4 - 8*f**3 Expand (-n - n + 3*n)*(-4 + 1 + 4)*((-1 + 3 - 1)*(1 + 1 + 0) + 2 + 1 - 2). 3*n Expand (-4 + 4 - 5 + (0 - 4 + 5)*(-1 - 1 + 0) - 2 + 1 + 0)*(-4*b + 12 - 12). 32*b Expand (-2*t + 3*t + 7*t)*(0 + 9*t + 0). 72*t**2 Expand (3*h - h - h)*(1 - 3 - 6*h + 1)*(-1 + 1 - 2*h). 12*h**3 + 2*h**2 Expand (-122 - 36 + 13 - 27)*(0*h**3 + 3*h**3 - 4*h**3). 172*h**3 Expand (1 + 1 + 0)*(m**2 - m**2 - 2*m**2)*(-4 - 9 + 39). -104*m**2 Expand (5*m - 3*m + 0*m + (-2*m + m + 0*m)*(0 + 6 - 4) + m + m - 4*m)*(5*m**3 + 12*m**3 - 14*m**3). -6*m**4 Expand (-v + 3*v - 3*v)*(6 - 4 - 1)*(3 - 13 - 5). 15*v Expand u**2 + 2*u**2 - u**2 + 6*u**2 - 2*u**2 - 2*u**2 + (3 - 3 - 2*u)*(2*u + u - 2*u) - u**2 - u**2 + 3*u**2 - 14*u + 6*u**2 + 14*u. 9*u**2 Expand (2 + 2 + 1)*(-4*o**2 + 8 - 8)*(2*o - 2*o - 2*o). 40*o**3 Expand (-q + 3*q - 3*q)*(-7*q - 1 + 2*q + 3*q). 2*q**2 + q Expand (g**2 + 0*g**2 + 0*g**2)*(0*g + 1 + g + 1)*(-5 + 3 + 3). g**3 + 2*g**2 Expand (-3 + 2 - 1)*(-z**2 + 2*z**2 + z**2) + 3*z**2 - 3*z**2 - z**2 + 9 + 16*z**2 - 9. 11*z**2 Expand (19*b + 8*b + 4*b)*(-5*b**2 - b**2 + b**2). -155*b**3 Expand (2 - 2 + 2*j)*(3*j**2 + 0*j**2 + 0*j**2)*(3*j - 5*j + 4*j). 12*j**4 Expand (2 + 4 - 5)*(5*y**5 - 2*y**5 - 5*y**5) + 3*y**4 - y**5 - 3*y**4 - 3*y**5 - y**5 + y**5 + 3*y**5 - 5*y**5 + 3*y**5. -5*y**5 Expand (-t + 3 - 3 + (-3 - 2 + 4)*(t + 0 + 0))*(12*t**2 + 8*t - 8*t). -24*t**3 Expand (2*b**3 + 1 - 1)*(b**2 - 2*b**2 + 3*b**2) + 2*b**5 - b**5 + b**5 + b**4 - 7*b - 2 - 3*b**5 + 7*b. 3*b**5 + b**4 - 2 Expand (0*s + 3*s - 2*s)*(0*s**2 - s**2 - s**2) + 0*s**3 + 2*s**3 - 4*s**3 + (-6*s**3 + 2*s**3 + 3*s**3)*(2 + 1 + 0) + 2*s**3 - s**3 - 3*s**3. -9*s**3 Expand (0 + l + 0)*((2 - 2 + 2*l)*(l**2 + 0*l**2 + 0*l**2) + 2*l**3 - 2*l**3 - l**3 + 0*l**3 - l**3 + 2*l**3 + 2*l**3 - 3*l**2 + 3*l**2). 4*l**4 Expand (-1 + 1 + 2)*(-3*k**2 - 2*k + 3*k**2 + 2*k**2). 4*k**2 - 4*k Expand 0 + 2 + 0*r - 2*r + (-1 - 2 + 4)*(-5*r - r + 4*r). -4*r + 2 Expand (-3*d - d**2 + 3*d)*(d**2 - 8*d**2 + 6*d**2)*((2*d - 5*d + 2*d)*(0 + 1 - 3) + 4*d - 2*d + 0*d + d + 4 - 4). 5*d**5 Expand (-4*a - 2 + 2)*(a**4 + 0*a**4 + 0*a**4). -4*a**5 Expand (-5*a**3 + 4*a**3 + 4*a**3)*(2 + 7 - 1 + (5 - 2 - 1)*(2 - 2 + 2) - 1 + 0 + 2). 39*a**3 Expand (3*z**2 + 3*z - 3*z)*(z**3 - 3*z + 3*z) - z**5 + 0*z**5 + 0*z**5 - z**2 + z**2 - 3*z**5. -z**5 Expand (-z + z + 3*z)*(-1 + 1 + 4*z). 12*z**2 Expand ((q**2 - q**2 + q**3)*(-3 + 1 - 1) - 3 + 3 - q**3)*(-q - 5*q - 3*q). 36*q**4 Expand (4*y**5 - 2*y**5 - 4*y**5)*(3 - 2 - 3) + 3*y**4 + 3*y**5 - 3*y**4 + (3 - 3 + 2*y)*(0*y**4 - y**4 + 0*y**4). 5*y**5 Expand -3*q + 3*q - 1 + q + (-q - 4*q - 3*q)*(-2 + 0 + 4). -15*q - 1 Expand (-2*c**3 - c**3 + 4*c**3 - 2 + 2 - 3*c**3 + (3 - 2*c - 3)*(-3*c + 3*c + 2*c**2))*(4 - 4 + 2)*(-4*c + c + 5*c). -24*c**4 Expand (-2*g - 3*g + 4*g + 2*g**2)*(5*g + 4*g + 2*g). 22*g**3 - 11*g**2 Expand (1 - 2 + 3)*(-4*b**5 + 3*b - 3*b) + (-b + b + b**3)*(-b**2 - b**2 + 3*b**2). -7*b**5 Expand (-2 - 8 - 1)*(0*g + 0*g + g). -11*g Expand ((-1 - 3 + 6)*(5 - 5 + 1) - 3 + 0 + 4 + 2 + 1 - 2 + (-4 - 2 + 4)*(2 + 2 - 2) - 5 + 1 + 3)*(-39*k - 335 + 335). 39*k Expand -6*l + 3*l**2 + 6*l - 3*l**2 + 4*l**2 + l**2 + (0*l + 0*l + l)*(l + 0 + 0) + (-2*l - 2*l + 2*l)*(-3*l + 3*l + 2*l). 2*l**2 Expand -28*u**2 - 91*u**2 - 96*u**2 + (3*u + 0*u - u)*(-u + 0*u + 2*u). -213*u**2 Expand -2*z**3 - 4*z**2 + 4*z**2 + (-9*z + z - 6*z)*(z**2 + 3*z**2 - 3*z**2) + 4*z**3 + 0*z**3 - 2*z**3. -14*z**3 Expand 15*k - 5*k**3 - 15*k + (2 - 2 + 1)*(-4*k - k**3 + 4*k) + k**3 - k**3 - k**3 + k**3 - k**3 - k**3. -8*k**3 Expand -3*z**5 + 5*z**5 - z**5 - 2*z**5 - 5*z**5 + 3*z**5 - 4*z**4 + 4*z**4 + 2*z**5 + (-2*z + 1 - 1)*(z**4 + z**4 + z**4). -7*z**5 Expand 3*o**2 + 6 - 6 + (3*o + 3*o - 4*o)*(o + o - o) + (1 - 4 + 2)*(0 - o**2 + 0). 6*o**2 Expand (2 - 3 - 1)*(-4 - 2 + 3)*(-y - y - y). -18*y Expand ((2 + 0 - 3)*(2*o + o - 2*o) + 2*o - 2*o + 2*o + o + 1 - 1)*(-3*o**3 - o**3 + o**3). -6*o**4 Expand (21*f + f**3 - 21*f)*(4 - 2*f**2 - 4 + (-f + f + f)*(1 - 1 - f) - f + f - f**2 + (4 - 4 - 2*f)*(-4 + 4 - f)). -2*f**5 Expand (-74*a**2 + 36*a**2 + 28*a**2)*(1 + 4 - 3) - a**2 + 0*a**2 - a**2 + (-a + 4*a - 4*a)*(-5*a + a + 5*a). -23*a**2 Expand (3*l - l - l)*(-l + 5*l - 5*l)*(-5 + 0 + 3). 2*l**2 Expand (-2*b - 1 + 1)*(2 - 2 + 2)*(2*b + 3 - 3)*(-4*b - 5*b + 5*b). 32*b**3 Expand (-6 - 5*h + 7 + 0)*(-2*h + 0*h + 0*h). 10*h**2 - 2*h Expand (-2*y**3 - 2*y**3 - 2*y**3 + (-2*y + 2*y + 2*y)*(0*y**2 + 0*y**2 + 2*y**2))*(-5*y + 2*y + 2*y). 2*y**4 Expand (-41*g + 37*g - 29*g)*(0*g**3 + 2*g**3 - 4*g**3 + g**2). 66*g**4 - 33*g**3 Expand (-2 + 5 + 12*v - 8*v)*(-2*v**2 - 1 + 1). -8*v**3 - 6*v**2 Expand 3*k**5 + 20*k**2 - 20*k**2 + (6*k**2 - 4*k**2 - k**2)*(k**3 + 0*k**2 + 0*k**2). 4*k**5 Expand (-3 + 2*m**3 + 3)*(68 - m + 0*m - 103). -2*m**4 - 70*m**3 Expand (2 + 2*c**3 - 2)*(102*c - 55 + 55). 204*c**4 Expand (4 - 2*s - 4)*(10 - 5 - 6). 2*s Expand 3*k + 8*k + 3 + 2*k + (-1 + 1 + 2)*(5*k - 2*k - 4*k) + 0*k - 2*k + k. 10*k + 3 Expand (0*m - 3*m + 2*m)*(2*m - m + 0*m). -m**2 Expand (2*u - 2*u - u)*(-21 + 21 - u)*(4*u + 3*u - u). 6*u**3 Expand (-7*o - 17*o - 29*o)*(-6*o + o + 3*o). 106*o**2 Expand (4*g - g - g + 10 - 10 - g + 2 - 2 - 2*g + (1 - 5 + 1)*(-3*g + 4*g - 3*g) + g + 1 - 1)*(g - g - 2*g). -12*g**2 Expand (-i**2 - i**2 + 4*i**2)*(13*i + 37*i**2 - 13*i). 74*i**4 Expand -2*g**2 - g**2 + 4*g**2 + 2*g**2 + 0 + 0 + (0 + g + 0)*(2*g + 0*g + 0*g) - g + g + 2*g**2 + g**2 - 5*g**2 + 0*g**2. 3*g**2 Expand (-679 - 56*a**2 + 679)*(-4*a + a + 2*a)*(-a**2 + 4*a - 4*a). -56*a**5 Expand (-u + 1 + 0*u - u)*(4*u**2 - 4*u**2 + u**3) - 2*u**4 - 2*u**4 + 3*u**4 + (u**3 - u**3 + u**3)*(-u + 1 - 1). -4*u**4 + u**3 Expand (-5 + 0 + 4 + (-3 + 3 - 2)*(-3 + 4 - 3) + 2 - 5 + 2)*(-13*k**2 + 2 - 2). -26*k**2 Expand 3 - h**5 - 3 + (1 - 1 - 2*h**2)*(1 - 1 + h**3) + h**5 - 2 + 2 - h**5 - 3*h**5 + 2*h**5 - 3*h**5 - 3*h**5 + 5*h**5 + 2*h**5 - 1 + 4 - 1. -3*h**5 + 2 Expand 0*z**2 - 14*z**2 - 16*z**2 + (z + 3*z - 2*z)*(0 + 0 - z). -32*z**2 Expand (-1 + 0 - 2)*(-18 + 3*g + 18)*(1 - 2 + 2). -9*g Expand (0 + 1 + 1)*(-3*a - 1 + 1)*(-1 - 3 + 5). -6*a Expand (3*c + 2*c - 3*c)*(c**3 + 4*c**3 + 3*c**3). 16*c**4 Expand 4*n**2 - 4*n**2 - n**2 + (n**2 + 0*n**2 + 0*n**2)*(2 - 2 + 1) - n**2 + 5*n**2 - 2*n**2 + 2*n**2 - 2*n**2 - n**2. n**2 Expand (1 - 1 - 4)*(3*f + 4*f - 5*f). -8*f Expand 5 + l**3 - 5 + (0 - 2*l**2 + 0)*(0*l + l - 3*l). 5*l**3 Expand 21*t**5 - t**5 - 2*t**5 + (2*t - 3*t + 4*t - 2)*(4 -
{ "pile_set_name": "DM Mathematics" }
4 - r. Which is the smallest value? (a) x (b) 1 (c) q a Let k = -0.4 + 0.6. Let h = -2.3 + 3.2. Let y = -1 + h. Which is the second smallest value? (a) 3 (b) k (c) y b Let a = 0.014 + -0.214. What is the second biggest value in a, 5, 11? 5 Let n = 0.1 - 0.16. Let v = -0.34 + n. Which is the smallest value? (a) v (b) -3 (c) 0 b Let x = 7 + 1. Let v = 1 + -8. Let z = v + x. Which is the second biggest value? (a) -4 (b) -0.5 (c) z b Suppose 2*b - b = 4*w - 16, -4*b = -w + 4. Let h = 0.5 - -2.5. Let x be (-3)/(-14)*208/(-78). What is the second biggest value in w, h, x? h Let n = -1.94 + -0.06. Let t = 61/279 + 2282/5301. Let p = t + 1/57. Which is the biggest value? (a) p (b) n (c) 0.5 a Let c = 53/2 + -109/4. Let f = 221.03 - 223. Let a = 0.03 - f. What is the biggest value in c, -3/5, a? a Let f = -2 + 2. Let w be 4 - (4/(-6))/((-64)/312). What is the second smallest value in -0.1, f, w? f Suppose -16 = -5*t + 3*t - 2*f, -3*t - 2*f = -19. Let n = 1 - t. Let k = 8 + -4. What is the third smallest value in -5, k, n? k Let d = -60.4 - -55. Let n = -0.06 - 4.94. Let k = n - d. Which is the third biggest value? (a) -1 (b) 2/3 (c) k a Let z = 0.9 + -10.9. Which is the third smallest value? (a) -2/23 (b) -5 (c) z a Let v = -184 - -1290/7. Which is the third smallest value? (a) -1/6 (b) -0.5 (c) v c Let j = -0.17 - 1.13. Let a = j - 3.7. What is the second smallest value in 2/9, -1, a? -1 Let s = 5 - 2. Suppose -3*v + s = -6. Let q be 0 + v - (-5)/(-2). Which is the third smallest value? (a) -2/25 (b) -0.5 (c) q c Let x = -2 - -15. Let b = x - 16. What is the biggest value in b, -1, -2? -1 Let c = -0.2 + -0.8. Suppose 34*w + 24 = 26*w. What is the biggest value in -5, c, w? c Let d(j) = -j**2 + 11*j - 2. Let g be d(6). Let t be 1 + g/(-8) + 4. Which is the third biggest value? (a) -2/15 (b) t (c) -3/4 c Let s be (-1)/3 - 20/(-6). Suppose -3*w = 3*n - 15, -5*w + 10 = n - s. What is the smallest value in n, 2/13, 2? 2/13 Let m = -1 + 0.96. Let r = m - 0.46. What is the second smallest value in -3/5, r, 0? r Let o be (7/28)/(2 + (-78)/40). What is the third smallest value in o, -0.01, -4? o Let d = -0.1 - 0.3. What is the smallest value in -2, d, 5? -2 Suppose t - 1 + 2 = 0, -z + 4*t + 2 = 0. Suppose -2*l + 8 = -4*s - 0*l, 5*s + 32 = -3*l. Which is the second biggest value? (a) s (b) z (c) -0.5 b Let z be (-18)/8 - (-4 - -1). Which is the fourth biggest value? (a) 1/5 (b) -1/2 (c) -3 (d) z c Let w be ((-4)/10)/(2/(-10)). Let o = w + -2. Which is the third smallest value? (a) -4 (b) o (c) 1/3 c Let c = 13 - 12.91. Let a = c + -4.09. What is the biggest value in a, -8, 1/5? 1/5 Let m = -0.19 - -0.19. What is the biggest value in 5, -2/3, m? 5 Let l = -0.3 - -0.2. Let x = l + 0.2. Let w be ((42/49)/(-6))/(-1). What is the third smallest value in -3, x, w? w Let u = 0.32 + -24.32. Let v = u + 19. What is the second biggest value in v, -2/3, 5? -2/3 Let p = -10.45 + 0.45. Which is the second smallest value? (a) 4 (b) 2/5 (c) p b Let g = 0.064 + -1.064. Which is the fourth biggest value? (a) 1/2 (b) 1/5 (c) 2/7 (d) g d Let g = -1 - -1.2. Let z = 0.047 - 0.447. What is the third smallest value in -0.2, g, z? g Let w = 0.02 + -0.12. Which is the third biggest value? (a) 1 (b) 3 (c) w c Let t = 250 - 253. Let m = -0.9 - -1. Which is the third smallest value? (a) m (b) t (c) -2/7 a Suppose -5*a - 5*x + 2*x - 15 = 0, 0 = 5*x + 25. What is the smallest value in 2/7, a, 4/7, 10? a Let s = 4.9 + 0.1. Let w = -4.7 + s. Which is the biggest value? (a) w (b) 1/6 (c) -0.5 a Let l(t) = 3*t - 13. Let z be l(6). Which is the second smallest value? (a) -1/2 (b) 2/19 (c) z b Let u be 39/2*-1*2. Let b be 1*-2*u/6. Let i be 1/(1/((-2)/b)). What is the second biggest value in -1/2, 1/4, i? i Let z = -1.5 - -1.5. Which is the smallest value? (a) 9 (b) z (c) -1 (d) 0.5 c Let k = 137/2 + -70. Let o = 0.04 + -7.04. Let a = 4 + o. What is the biggest value in a, 0, k? 0 Let x = -62 - -66. Which is the second biggest value? (a) 5/4 (b) x (c) -0.28 a Let k = 5.4 + -5.36. Which is the biggest value? (a) -5 (b) k (c) 2/9 c Suppose -l = 4*l. Let u = -2 + 9. Let o = -6.7 + u. What is the second smallest value in o, -5, l? l Let k = 4.05 + -0.05. Let q = -9.14 + 0.14. Let b = q - -9.5. What is the smallest value in b, -3/5, k? -3/5 Suppose 179 = 3*s - 4*y - y, -s + 5*y = -53. Let k be 1/(-5) + s/(-135). Which is the third biggest value? (a) 0.3 (b) k (c) 0.1 b Let m = 4.4 + -0.4. What is the third smallest value in -0.3, m, -13? m Let i = 6 - 5.5. Which is the smallest value? (a) -1 (b) 0.1 (c) i (d) 17 a Let h = -32.6 + 22.7. Let q = -10 - h. Let l = -1 - -4. Which is the biggest value? (a) q (b) l (c) -2/5 b Let q = -22/7 + 23/7. Which is the biggest value? (a) -1/3 (b) 0.2 (c) q b Let b be 1 - 2/(-9)*-3. Let i = 40/77 - 12/11. What is the third biggest value in i, b, 2? i Let j(y) = y**2 - 3*y - 6. Let w be j(5). Suppose 0 = w*r - 2 + 14. Let h be 1/(1*r/(-9)). What is the third biggest value in h, -2/3, 4/5? -2/3 Let r = -0.3 + 2.3. Let p = 596.3 + -596. What is the third smallest value in 5, r, p? 5 Let i be (12/(-10))/((-1)/5). Let j(g) = g - 2. Let q be j(i). Let x = -3 + 2. Which is the third smallest value? (a) 2/3 (b) q (c) x b Let y = -44 + 43.9. Which is the second biggest value? (a) 3/5 (b) y (c) 5 a Let v = 0.997 - -0.063. Let g = -1 + v. Let p = g - 0.46. Which is the third smallest value? (a) 1/11 (b) -5/2 (c) p a Suppose 0*z - 2*z - 18 = 2*c, z = -3*c - 15. Let x be 10*(-2 - (z + 2)). Let d be (x/(-175))/(2/5). What is the smallest value in d, -0.1, -3? -3 Let u = 0.9 + -0.88. Let l = u + 0.48. What is the third biggest value in -1, l, 2/5? -1 Let q be (-3)/((-3)/2) + -1. Let t be -1*q + (-14)/(-10). Let o = 122 + -121. What is the biggest value in o, t, -1/6? o Let v = 197 + -191. Which is the third smallest value? (a) 1/5 (b) v (c) 0 b Suppose z = 6*z + 3*n - 5, -2*z = -2*n + 14. What is the third smallest value in -5, -3, z? z Let u = -3.9 - 1.1. What is the second biggest value in -0.1, u, -4/5? -4/5 Let z(m) = m**2 + 7*m - 3. Let o be z(-8). Which is the biggest value? (a) o (b) -5/6 (c) 2 a Let r = -7 - -5. Which is the third biggest value? (a) 4 (b) r (c) 5 b Let v = -1.09 + 1. Let m = v + -8.31. Let o = -8 - m. Which is the third biggest value? (a) -0.2 (b) 1 (c) o a Let i = 0 - 3. Which is the third biggest value? (a) 0.5 (b) i (c) -2/9 b Let w = 6 - 4. Let g = 4.2 + -4. Let z = g - 0.3. Which is the biggest value? (a) -5 (b) z (c) w c Suppose 11*k - 2*k = 27. What is the biggest value in k, 0.4, -0.4? k Suppose -k - 123 = -4*k. What is the second biggest value in 1/4, k, 2/3? 2/3 Let g = 0.062 - 0.162. Which is the second smallest value? (a) g (b) 1/3 (c) 3 (d) 2/5 b Let d = -19 + 21. Suppose f - 10 = -4*h - 4*f, -5*h + 2*f = 4. Which is the biggest value? (a) h (b) -2 (c) d c Suppose 6*r - 2*r = 0. What is the second biggest value in r, -4/5, 5? r Let p = 31 - 153/5. Which is the biggest value? (a) p (b) -2/3 (c) -0.4 a Let d = 0.21 + -0.21. Which is the second biggest value? (a) 4/5 (b) d (c) -5 b Let f = -2762221/24609 - -138/631. Let j = f - -3480/13. Let g = j + -157. Which is the biggest value? (a) -2/15 (b) g (c) 0.4 c Let g = 0 - -1. Let d = 2 - g. Let k = -4 - -11/3. What is the smallest value in d, k, -1/5? k Let b = -858/7 + 123. What is the smallest value in 0, -0.1, -4, b? -4 Let t = 0.8 + -1. Suppose -n = 3*n. Which is the biggest value? (a) t (b) n (c) -0.1 b Let h(s) = -s**2 + 8*s - 4. Let y be h(7). Suppose 3*j = -g + 7, -y*g = -5*g + 8. Let t = -1321/7 - -189. Which is the smallest value? (a) j (b) -2 (c) t b Let q be 149/(-2 - 4/4). Suppose 122 - 318 = 4*w. Let r = w - q. What is the smallest value in 4, r, -4? -4 Let d be -4 + 270/33 + -4. Which is the third smallest value? (a) 3 (b) -8 (c) d a Suppose 4 = -4*a + 12. Suppose 0 = -j - 3*j + 24. Suppose -j = a*y - 2. What is the smallest value in 2/11, -2/7, y? y Let s = -148 + 1040/7. What is the biggest value in -4/3, 1, s? 1 Let m = 0.083 + -1.083. What is the second biggest value in m, -3, 1/3, -62? m Let h = -13.12 + 13. Let z = h - 0.38. Which is the thir
{ "pile_set_name": "DM Mathematics" }
0.2, 0, 6? 6 What is the nearest to -1 in 27, 7/6, 3, -0.135? -0.135 What is the closest to 14/15 in 299395, 1/6, -7? 1/6 Which is the closest to -1/2? (a) -2/5 (b) -55 (c) 5 (d) 12 (e) 1.2 a Which is the closest to 0.5? (a) -2/3 (b) -0.06 (c) -4/33 (d) -0.0123 (e) 0.3 e Which is the closest to -0.1? (a) 36 (b) 3 (c) 0.4 (d) -2 (e) -3723 (f) -1/5 f Which is the nearest to 0? (a) -0.5 (b) 1715921 (c) 1/8 (d) 0.08 d What is the closest to 25 in -0.82, -24/37, 2, -0.1? 2 Which is the nearest to 0.1? (a) 14 (b) -0.0284 (c) -7/2 (d) 27 b What is the nearest to -0.1 in 1/37, 3/7, 670/9, 1? 1/37 What is the nearest to -97 in -31, 1, -0.3, 0? -31 What is the nearest to 0.0991 in -3, -0.2, -1/6, 16? -1/6 What is the closest to -4654 in 0.2, 2, 1/6, -0.4? -0.4 What is the closest to 2 in -3/67945, -58, 1? 1 Which is the closest to -0.2? (a) -5 (b) 0.3318 (c) 3 (d) 35 (e) 1 b What is the closest to -3/7 in -0.06, 0.06, 12652? -0.06 Which is the nearest to -1? (a) -2437/26 (b) -29 (c) -3 c Which is the nearest to 8? (a) -5 (b) 13 (c) -1 (d) -13703 b What is the nearest to 25/9 in -3/7, -5/6, 2/1949, 3? 3 Which is the nearest to 94.5? (a) 3/5 (b) 1.4 (c) 0.2 (d) -3 b Which is the nearest to 3? (a) 1/8429 (b) -2/7 (c) -16 a Which is the nearest to -4? (a) -0.04 (b) 2/7 (c) -2/1331 (d) 11 (e) 4 (f) 3 a Which is the nearest to 3? (a) 2352 (b) -4 (c) 1 (d) 3 d Which is the nearest to -1? (a) -7/3 (b) 1/16 (c) -4/7 (d) 2.3 (e) 21 c Which is the nearest to 0.3? (a) 61 (b) -4 (c) -0.2 (d) 79 (e) -163 (f) 5 c Which is the nearest to 132.617? (a) -2 (b) -3/2 (c) 4/5 (d) -0.1 (e) 0 c Which is the closest to 0.62751? (a) -0.022 (b) -1/6 (c) 1/4 c Which is the nearest to 4117? (a) 0.03 (b) 0.4 (c) 0 (d) -1 (e) 2/9 (f) -2 b What is the nearest to 0.1 in 47, -2/15, -13, -40, 1? -2/15 What is the nearest to 0.1 in -4139, -5, -31.5, -1/2? -1/2 Which is the closest to -3/7? (a) 524 (b) 495 (c) 1/3 (d) -1/11 d What is the nearest to -2/3 in -15, -1/3, -0.3623, 1/3, 1/2? -0.3623 Which is the nearest to 0.1? (a) -2/17 (b) -14/3 (c) 0.4 (d) -113 a Which is the nearest to 1? (a) -219561 (b) 0.2 (c) -7 b What is the closest to -5 in -1.9, -4, -1, -0.95, -9/16, 3/2? -4 What is the nearest to -2/87 in 2, -0.02, 80, 52/5, 1? -0.02 Which is the closest to -3? (a) 1 (b) 20 (c) 8971 a What is the nearest to 0 in 392, 0.4, 693, -5, 11? 0.4 Which is the closest to 2/5? (a) 4 (b) -4 (c) -21/11 (d) 2 (e) 36 (f) 4.2 d What is the closest to -6 in -4639232, 0, -5? -5 What is the closest to 237.2 in 76, 83, -2/7? 83 Which is the nearest to -0.06? (a) 3 (b) 17 (c) 7 (d) 85 (e) -5 a Which is the nearest to 0.2? (a) -1270 (b) 1/5 (c) -0.1 (d) 26 (e) -3 b Which is the closest to -10? (a) 25/42 (b) 4 (c) -5 (d) -2/17 c What is the nearest to -0.06 in 6, -4, -14, -324, 2/5? 2/5 What is the closest to -2/67 in 2, -1, 0.02191? 0.02191 What is the nearest to -1.5 in 7, -0.05, -0.5, 1390, -3? -0.5 Which is the nearest to 0? (a) -0.083 (b) 4865 (c) -3 (d) -0.3 a Which is the nearest to -0.2? (a) 0.3 (b) 3.5 (c) 3.1638 a Which is the closest to -1/2? (a) 84 (b) -6 (c) -5 (d) -1247 (e) 3/7 (f) -3 e What is the closest to -509 in 0.4, -0.3, -2/5, 2, 0.61, -11? -11 Which is the closest to -4699? (a) 3 (b) -4 (c) -2.8 b What is the closest to -0.3 in 13, 21, 140, -7, 5, 1? 1 What is the closest to -31/86 in -219, 1/3, -0.7, -2/9? -2/9 What is the closest to 1/3 in 3, -1, 2363.45, -5, 1? 1 What is the nearest to 0 in -0.9, -0.4, 0, -0.1, -18472? 0 Which is the nearest to 0? (a) 120 (b) 275 (c) 1 (d) 19 (e) -0.5 e What is the closest to 1 in 1, -9, 1486, 19? 1 What is the nearest to -36 in 5/6, -4, 1/2, 52, 0? -4 What is the nearest to -2/5 in -42, 271, 0.05? 0.05 Which is the nearest to 8/145? (a) 4 (b) 15338 (c) 0.3 c Which is the nearest to -5? (a) -32 (b) -1.3652 (c) -6 c What is the nearest to 1/30 in 25, 15/2, 1/2, -76? 1/2 What is the nearest to 222278 in -4, 0.1, -5, 0, 2/5? 2/5 Which is the nearest to 5294? (a) 4/45 (b) -2 (c) -4/7 (d) -2/11 a What is the nearest to -2/3 in -12, -265, -0.4, -1068, -4? -0.4 Which is the closest to -62/9? (a) 10275 (b) 2/3 (c) -0.2 c What is the closest to -3 in 1, 2/17, -2/385, 19/11? -2/385 What is the closest to 23.07 in 0.09, 1/4, -55? 1/4 What is the nearest to 1/3 in 0.0796902, 2/5, 4, 3? 2/5 Which is the closest to 0? (a) 0.12448 (b) -3 (c) -1/8 (d) -24 (e) -5 (f) -0.1 f What is the nearest to -2 in 1/1778, -0.049, -3, 3, -4, 5? -3 What is the nearest to -175.8 in -1/10, -0.33, 0.02? -0.33 Which is the nearest to 2/7? (a) -0.161 (b) -2/5 (c) 18.7 a What is the closest to -20 in -918, 3/16, -3, -0.1? -3 What is the nearest to 0.04 in -15, 2/9, -0.5, -8? 2/9 Which is the nearest to -2/7? (a) -38 (b) 0.059 (c) -0.3 (d) 29 (e) 2 c Which is the nearest to 0.042? (a) 2 (b) -2 (c) 2/597 (d) 489 c What is the closest to 0.2 in -2/15, 266, -6/11, 5, -1.7? -2/15 Which is the nearest to 0.158? (a) 1 (b) 30 (c) 4/5 (d) 0.0137 d What is the nearest to -8790 in -12, -0.1, -0.7, -4, -2/13? -12 What is the nearest to -691 in -0.2, -0.089, 3? -0.2 What is the nearest to -6 in 1/6, 4, 361, 2/45, 3? 2/45 What is the nearest to -10 in 2/3, -7, 35, -30? -7 Which is the closest to -4/3? (a) 4 (b) 12/13 (c) -1 (d) -353/11 (e) 1/2 c Which is the nearest to -1/4? (a) 5 (b) 43236589 (c) -5 c Which is the closest to -113? (a) 0.2 (b) -4 (c) -0.2 (d) -569.8 (e) 1 b Which is the closest to -9? (a) -3/4 (b) -2/211 (c) -0.5 (d) 4/3735 a What is the closest to -0.01 in -0.5, 1/7, -230/41, 1/3? 1/7 What is the closest to -1 in 0.4, -1825, -2/9, 0.1, -5, 3/5? -2/9 Which is the closest to -17/1337? (a) 8 (b) -5 (c) 21 (d) 0.1 (e) -0.3 d Which is the closest to 1? (a) -1 (b) -0.04 (c) 2/3 (d) 2.8752 c What is the nearest to 2 in 2, -0.057, 0.2, -594, -0.5? 2 What is the closest to -2/5 in 0.22, 0.3, -5.1, 4, 2/89? 2/89 What is the nearest to -9 in -2/7, -4, 0.048422? -4 What is the nearest to 65 in 4/13, -2/211, -2/3, -0.4? 4/13 What is the closest to 220 in -1/8, 5, 2/7, 505? 5 What is the closest to -261 in 3, 5/3697, -6? -6 What is the closest to 12 in -169, -122, 18, -1? 18 What is the closest to 8 in -21534, 96, 3? 3 Which is the nearest to -1606? (a) -3 (b) -2/11 (c) 1/2 (d) -4/13 (e) 11 (f) 5 a What is the nearest to -2 in 1/4, -1, 8/7, -20.02? -1 What is the closest to 3212 in -0.4, 7/5, 0, -15, -0.1? 7/5 Which is the closest to 2.8? (a) -0.4 (b) -4 (c) 1183 (d) 5 d Which is the closest to -227? (a) 18244 (b) -6 (c) -2 b Which is the nearest to 2/3? (a) 7 (b) -1 (c) -2/19 (d) -0.08254 d Which is the closest to -2/5? (a) 2 (b) 48/85 (c) -2.17 b Which is the nearest to 1/5? (a) 26 (b) -7.9 (c) -193 (d) -2/13 d Which is the nearest to -2/5? (a) 2 (b) 303 (c) 1/2 (d) 0.19071 (e) -2 d Which is the closest to 1? (a) -83 (b) -9 (c) 0 (d) 149 c Which is the nearest to -465? (a) -3/8 (b) -31 (c) -56.2 (d) 4 c What is the closest to -2608/25 in 3/7, 2/9, 4, 1, 2/17, 3/40? 3/40 What is the nearest to -12/5387 in -2, 0.3, 1/5? 1/5 Which is the closest to 1/19? (a) 0.11 (b) 37 (c) -32 a Which is the closest to -2/119? (a) 1.2 (b) -1 (c) 2/13 (d) 2/33 d What is the closest to -6373 in -0.1, -6, 2/11, 0.4? -6 What is the nearest to 0.07 in -0.5, -9/22, -2/7, 0.0097? 0.0097 What is the closest to 2 in -2, -12/23, -3/8, 2, -34? 2 Which is the closest to 503? (a) 2 (b) 27 (c) -4 (d) -2 b Which is the closest to 0.1? (a) -2/9 (b) 25/248 (c) 1/3 (d) 180 b What is the closest to 2.59 in -187, 0, -0.2, -4/5? 0 What is the nearest to 264 in -0.3, 2, -3, -2/639, 0.1, 0.3? 2 Which is the nearest to 2/15? (a) -733 (b) 24 (c) -0.033 c What is the nearest to 0.1 in 1, 952463, 1/4? 1/4 Which is the closest to -12? (a) 13 (b) 0.1 (c) 9 (d) 2/17 (e) -1 e Which is the closest to 0.1? (a) 5.33 (b) 1 (c) 2 (d) 214 (e) 4/9 e What is the closest to -0.102 in -512, -33, 5/4? 5/4 What is the nearest to 3 in -1, 364, -59, 0, 1? 1 Which is the closest to -0.1? (a) -2/11 (b) 0.32 (c) 1 (d) -24301 a What is the closest to 8.291 in 2, -1172, 3? 3 What is the closest t
{ "pile_set_name": "DM Mathematics" }
*(3877*y + 4707*y + 909*y + 175*y). 19336*y**2 Expand (-3 - 2*r**2 + 3)*(69046 + 1888*r**2 - 69046) + 0*r + 0*r - 2*r**4 - 5*r**4 + 4*r**4 + 3*r**4 + (4*r**4 - 2*r**4 + 0*r**4)*(-2 + 4 + 0) + 2*r**4 + 0 + 0. -3770*r**4 Expand ((-2*w - w + 5*w)*(6 - 1 + 9) + 19*w + 464 - 464 - 3*w - 3*w + 5*w)*(-2*w**3 + 3*w**3 + 2*w**3) - 2*w**2 + 2*w + 2*w**4 + w**4 - w. 141*w**4 - 2*w**2 + w Expand (-z - 8*z + 4*z)*(-1 + 1 + 5*z**2)*(-8*z + 0*z - 22*z). 750*z**4 Expand 8570 - 8570 - 55*h**2 + (6*h**2 - 3*h**2 + 0*h**2)*(-2 + 4 - 3) + (-4*h + 3*h + 2*h)*(-3*h + 0*h + 0*h) + 4*h**2 + 6*h**2 - 7*h**2. -58*h**2 Expand (-10*z + 5*z - 8*z)*(-2 + 1 - 3)*(-7 - 15 + 8)*((3 + 3*z - 3)*(-1 - 4 + 2) + 2 - 2 + z). 5824*z**2 Expand 30 + 1170*l**5 - 627*l**5 + 4*l**2 - 541*l**5 + (l**3 + 0*l**3 + 0*l**3)*(5*l**2 - 5*l**2 - l**2). l**5 + 4*l**2 + 30 Expand -7*r**5 + 2*r**5 - 3*r**5 + (-24*r**5 + 38*r**5 + 35*r**5 + (5*r**3 - 4*r**3 + r**3)*(r**2 - 2 + 2) + 0*r**3 - r**5 + 0*r**3)*(-3 - 3 + 2). -208*r**5 Expand (0 + 4 - 2 + (0 + 3 - 6)*(1 - 1 - 1) + 5 - 1 + 1)*(-211*b + 12*b**2 + 211*b + (0 + 0 + 1)*(-b**2 + 2*b**2 - 2*b**2)). 110*b**2 Expand (-q**3 - 3*q**3 + 6*q**3)*(-2*q**2 + 3*q**2 + 0*q**2) + (-6*q**5 + 3*q**5 + q**5)*(12 + 79 + 35) + q**5 + 39*q**2 + 20*q**4 - 39*q**2. -249*q**5 + 20*q**4 Expand (-435 + 289 + 85 + 555 + 515)*(2*o**4 + 3*o**3 - 3*o**3). 2018*o**4 Expand -2*t**3 + 0*t**3 + 4*t + 6*t**3 + (-16*t**2 + 18*t**2 + 30*t**2)*(0*t - 2*t + 5*t). 100*t**3 + 4*t Expand ((0 + 0 + 2)*(-18 + 4 + 8) + 2 + 0 + 1)*(-9*y + 16*y + 14*y). -189*y Expand (466*m - 466*m + 49*m**3)*(-m + 1 - 1 + (79*m + 76*m - 160*m)*(1 - 2 + 0)). 196*m**4 Expand (-56 + 221 + 143 - 64 + 99)*(-20*h**2 - 115*h + 3*h**2 + 18*h**2). 343*h**2 - 39445*h Expand 271*p**2 - 3*p**5 - 271*p**2 - 2*p**3 + (9*p**2 + 3*p**2 + 4*p**2)*(2*p - 2*p + 9*p**3). 141*p**5 - 2*p**3 Expand (-4*g + 4*g + 2*g)*(0*g - g + 5*g)*(-117 + 311 - 107 - 113 + 50*g). 400*g**3 - 208*g**2 Expand (24 - 24 + 7*z**2)*(-33 + 5 + 0 + (-3 - 2 + 3)*(2 - 1 - 2))*(-2 + 0 - 2). 728*z**2 Expand (0*a**2 + 6*a**2 + 12*a**2)*(-3 - a + 3) - a**3 - 3 + 3 + (-210 + 15*a + 210)*(-7 + 7 - 2*a**2). -49*a**3 Expand (0 - 41 - 18 - 4 + 5 + 4 + (-3 - 1 + 2)*(1 + 1 - 1) - 2 + 4 + 0)*(3*m - m - 3*m). 54*m Expand ((6*h + 0*h - 4*h)*(0 + 0 - 4) - 2*h + 20*h - 8*h)*((2 - 3 + 2)*(3 - 3 - 4*h) + 2 - 2 + h). -6*h**2 Expand (4*i**2 - 12*i + 12*i - 14)*(2 + 0 + 2) - 7*i**2 - 80*i**2 - 40*i**2. -111*i**2 - 56 Expand 2 + n**3 - 2 + (3*n - 3*n + n)*(-5*n**2 - n**2 + 5*n**2) + 374*n**3 - 18*n**3 + 309*n**3. 665*n**3 Expand (3 - 10 - 6)*(29 - 57 + 27 - s). 13*s + 13 Expand (-4275 + 12298 - 6090)*(-5 + r + 5). 1933*r Expand (-5*i + 5*i + 2*i)*(-73 + 62 + 97)*(-9 + 1 + 7). -172*i Expand (1 - x**2 - 1)*((-6*x - 186 + 186)*((2 + 2 - 2)*(x + 5*x - 5*x) + 2*x - x + 0*x + x + 0*x + x) - 20*x**2 + 44*x**2 + 53*x**2). -47*x**4 Expand (6*u**2 - 2*u**2 + 3*u**2)*((-u**3 + 2*u**3 - 2*u**3)*(2 - 3 + 2) + (-3*u + 3*u - 17*u)*(0*u + 0*u - u**2)). 112*u**5 Expand (-2*z**2 + 3*z**2 + z**2)*(566124 - 566124 + 976*z) + (-z + 0*z + 0*z)*(-3*z**2 - z**2 + 3*z**2) - 5*z**3 + 2*z**3 + z**3. 1951*z**3 Expand (-189 - 24 + 19)*(2*k + 0 + 0 + (-2*k + 2*k - 3*k)*(3 + 1 - 2)). 776*k Expand 0*h + 3*h - h + (-13 + 3*h + 13)*(-23 - 12 + 18 + 0 - 1 + 3 + (0 + 0 + 1)*(-1 + 0 + 3) + 5 - 4 - 3). -43*h Expand (-95 + 56 - 118)*(-3 + 3 + 3*a) - a - a + a + (a + 2*a - 4*a)*(-3 - 1 + 1). -469*a Expand (-5*u + 4*u - u + 22)*(88 + 115 - u + 3*u). -4*u**2 - 362*u + 4466 Expand (-z - 2 + 2)*(-1 + 3 - 3 + (-1 - 3 + 1)*(0 + 1 + 0) + 3 + 4 - 6 + 0 - 3 - 1 + (-2 - 4 + 1)*(-5 + 2 + 2)). 2*z Expand 1550*p**5 - 12*p**3 + 16*p**3 - 4497*p**5 + (-p**3 - 4*p**3 + 3*p**3)*(2 - p**2 - 2). -2945*p**5 + 4*p**3 Expand -t - t**3 + t + (0*t + t + t)*(1 - 1 - t**2) + (-81*t**2 - 177*t**2 + 80*t**2)*(862 + 27*t - 862). -4809*t**3 Expand -8*u - u + 3*u + (0 + 30 + 39)*(-5*u + 9*u + 4*u). 546*u Expand (-s**4 - 3*s**4 - 2*s**4)*(2 - 3*s - 2) + (-3 - 9 + 2)*(-10*s**3 + 7*s**5 + 10*s**3). -52*s**5 Expand 2*x**2 + 0*x**2 + 7*x**2 + (5 - 5 - x)*(-4*x + 5*x + 0*x) + 0 + x**2 + 0 + (-94 - 111 + 146)*(0*x + x - 2*x)*(-x + 3*x - 4*x). -109*x**2 Expand (59*q**2 - 33*q**2 + 0*q**2)*(19*q + 20*q + 8*q + 9*q - 8*q). 1248*q**3 Expand ((17 - 4*t + 18 + 3*t)*(-t + 0 + 0) + 10*t**2 - t + t)*(2 - 7 - 4)*(t + 4*t - 3*t). -198*t**3 + 630*t**2 Expand (-7 - 13 - 7)*(s**5 + 0*s**5 + s**5 + (-3*s**4 + 0*s**4 + 5*s**4)*(-2*s + 1 - 1) + 2*s**5 + 0*s**5 + s**5). -27*s**5 Expand (-2 + 3 - 4)*(7 - 23 + 11 + 7 + 611*v). -1833*v - 6 Expand (44624 - 2*x + x - 45999 + (2*x + 0*x - 5*x)*(-2 + 2 - 2))*(-1 + 0 - 1). -10*x + 2750 Expand (202 - 367 - 761*g + 165)*(-2*g + 1 - 4 + 1). 1522*g**2 + 1522*g Expand (-48*s - 30*s**2 + 48*s)*(3*s**2 - 3 + 0 - 246*s + 241*s). -90*s**4 + 150*s**3 + 90*s**2 Expand (4*r - r - 5*r)*(-5 - 1 + 3) + (-13*r + 6 - 6)*(1 - 6 + 4) + (5 - 3 + 0)*(0*r + 5*r - 4*r) - 2*r + 2*r - 3*r. 18*r Expand (4*x - 6*x + 3*x)*(-48 + 102 - 43). 11*x Expand -z**5 - 5*z**5 + 5*z**5 + (-2*z + 4*z - 4*z)*(2*z**4 - 4*z**4 + z**4) - 1047*z**5 - 434*z**5 + 106*z**5. -1374*z**5 Expand (2*q - 2*q - q)*(-5*q - 4*q**2 + 5*q) + (q - 2*q**2 - q)*(3*q + 3*q - 5*q) + q**3 + 1 - 1 + 0 - 2*q**3 + 0 + 611*q**3 - 331*q**3 - 685*q**3. -404*q**3 Expand (28 - 43 + 63)*(-19 + 3 - 6)*(0 + 0 - t). 1056*t Expand (1 - 1 - 2*c)*(-c**3 + 4*c**3 + 2*c**3) + 1733*c - 869*c + 21*c**4 - 863*c. 11*c**4 + c Expand (65*x - 122*x + 91*x)*(3*x + 2 - 2)*(-2 + 1 - 4)*(2 - 5 + 4). -510*x**2 Expand (-3491 + 25053 + 11770 + 8098 + 23233)*(-2*l + 2*l - l). -64663*l Expand 12*g**2 - 2766*g**4 + 3191*g**4 - 3*g**2 + (-5*g - g + 5*g)*(2*g - 2*g - g**3). 426*g**4 + 9*g**2 Expand -29*w**4 + 8 - 8 + (-6*w + 20 - 20)*(w**3 + 2*w**3 - 2*w**3). -35*w**4 Expand 55 + 9*q - 55 + (-27*q - 47*q + 110*q)*(-2 + 3 - 2). -27*q Expand (8*k**2 - 4*k**2 + 7*k**2)*(5*k + k - 4*k) + (-12*k**3 - 36*k**3 + 31*k**3)*(3 - 1 - 3). 39*k**3 Expand (12*l - 19 + 19)*(1 - 3 + 4) + 4*l - l - 2*l + 2*l + 3*l - 2*l - 8 + 8 - l. 27*l Expand (0*k**2 - k**3 + 0*k**2)*(-3 + 0 + 33)*(-11*k + 18*k + 11*k). -540*k**4 Expand (p - 5*p + 2*p)*(11 - 4 + 9) + (4 + 3 + 2)*(4*p + p - p). 4*p Expand (-q**2 + 4*q**2 + q**2)*(4 + 0 - 3 + (1 - 3 - 4)*(-1 + 0 + 0)) + (-7*q + 3*q + 2*q)*(2*q + 0 + 0). 24*q**2 Expand (0 + 0 + t**2)*(8693857 - 3212*t**3 - 8693857). -3212*t**5 Expand (3*c**3 - 3*c**3 - c**3)*(c**2 - 2*c**2 - c**2) + (-463*c**3 - 166*c**3 + 151*c**3)*(0*c**2 + c**2 + 2*c**2) + (-1 - c**3 + 1)*(-2*c**2 - 2 + 2). -1430*c**5 Expand (-2 + 2 - 3*c)*(0 + 1 - 2)*(-4 - 4 + 3)*(-181*c + 362*c - 182*c - 513*c**2). 7695*c**3 + 15*c**2 Expand 135*k**4 - 25*k**4 + 193*k**4 + (-4*k + 4*k + 4*k**3)*(2*k - k + k). 311*k**4 Expand (1 + 5 - 3)*(11120*z**3 - 58*z + 85*z - 27*z). 33360*z**3 Expand 5 - 5 + 5*n**2 + (0 + 0 - 2*n)*(0 + 2*n + 0) + 35*n**2 + 32*n**2 + 72*n**2 + n**2 + n**2 + 0*n**2. 142*n**2 Expand ((-4*q + 6*q - q)*(-6 + 1 + 4) - q + 0*q + 6*q)*(-800 + 2271 - 686 - 669). 464*q Expand (7 - 3 - 3)*(392*c**5 - 403*c**5 - 1891*c**5). -1902*c**5 Expand 1051540 - 168*q - 1051540 + (2*q + 2*q - 5*q)*(-1 + 3 - 3) + (-4 + 1 + 1)*(5*q - 3*q + 0*q) - 3 + 3 - 2*q. -173*q Expand (0 + 0 + 2 + 1 + 23 - 1 + 1 + 2 - 4 + (0 + 2 - 1)*(-5 + 4 - 1) + 3 + 12 - 3 + (0 + 4 - 3)*(2 - 4 + 1))*(u - 2*u + 3*u). 66*u Expand (1 + a - 1)*(5*a - 6*a + 3*a)*(-713 + 33 - 215). -1790*a**2 Expand (0*t + 2*t - t + (2*t + 3*t - 6*t)*(2 + 0 - 3) - 24*t - 3*t + 9*t)*(214*t - 253 + 253). -3424*t**2 Expand -3*z**3 - z**3 + 5*z**3 + (-3 + 3 + z**2)*(-2*z + 2*z + z) - 2479*z**2 + 2*z**3 + 89 + 2479*z**2. 4*z**3 + 89 Expand (12*q - 2*q - 3*q)*(18 + q - 387*q**2 + 127*q**2 + 116*q**2). -1008*q**3 + 7*q**2 + 126*q Expand (50*s**4 - 16*s**2 + 16*s**2)*((-s + s + 2*s)*(5 + 1 - 3) - 2*s - s + 0*s). 150*s**5 Expand (5*j + 2 - 2)*(0 + 4 - 3 - 1 + 3 - 1 + 1 + 1 - 1 + (-5 + 2 + 1)*(2 + 0 + 0) + 2 + 1 - 1 + (-2 + 0 + 4)*(6 - 1 - 4)). 15*j Expand (-9 + 1689 - 1918 - 1533 - 1282 - 2172)*(18*t**3 + 5*t**4 - 18*t**3). -26125*t**4 Expand (4690*n + 9348*n + 9871*n)*(1 + 0 - 3). -47818*n Expand (-272*r**2 + 938*r**2 - 66*r**2)*(-7*r + 17*r - 6*r)*(-2 + 2 + 1). 2400*r**3 Expand (0*r**2 + 2*r**2 + 0*r**2)*(293 + 458*r**2 - 168*r**2 - 5*r - 292*r**2). -4*r**4 - 10*r**3 + 586*r**2 Expand 0 + z + 0 + (0*z + 2*z
{ "pile_set_name": "DM Mathematics" }
:51 PM and 5:44 PM? 293 How many minutes are there between 1:28 AM and 1:15 PM? 707 What is 488 minutes before 4:07 AM? 7:59 PM What is 617 minutes after 6:44 AM? 5:01 PM How many minutes are there between 7:56 AM and 3:33 PM? 457 What is 546 minutes before 7:28 PM? 10:22 AM How many minutes are there between 3:44 PM and 2:36 AM? 652 How many minutes are there between 7:49 PM and 5:48 AM? 599 How many minutes are there between 10:54 AM and 12:32 PM? 98 How many minutes are there between 6:45 AM and 10:56 AM? 251 What is 420 minutes before 8:47 AM? 1:47 AM How many minutes are there between 6:35 AM and 6:30 PM? 715 What is 481 minutes before 8:44 AM? 12:43 AM What is 605 minutes after 9:44 PM? 7:49 AM What is 553 minutes before 2:54 AM? 5:41 PM What is 89 minutes before 11:37 PM? 10:08 PM How many minutes are there between 9:56 AM and 5:48 PM? 472 What is 480 minutes before 10:34 AM? 2:34 AM How many minutes are there between 5:06 PM and 1:06 AM? 480 What is 195 minutes before 10:20 PM? 7:05 PM What is 89 minutes after 4:20 PM? 5:49 PM How many minutes are there between 12:58 PM and 12:53 AM? 715 What is 448 minutes after 7:17 PM? 2:45 AM What is 408 minutes after 12:58 PM? 7:46 PM What is 564 minutes before 10:36 PM? 1:12 PM How many minutes are there between 2:51 PM and 3:00 PM? 9 How many minutes are there between 10:06 AM and 4:45 PM? 399 How many minutes are there between 10:49 AM and 12:11 PM? 82 How many minutes are there between 6:45 PM and 8:57 PM? 132 What is 560 minutes before 4:22 AM? 7:02 PM What is 644 minutes before 4:06 AM? 5:22 PM How many minutes are there between 2:10 PM and 6:22 PM? 252 What is 610 minutes before 7:00 PM? 8:50 AM What is 9 minutes after 1:07 PM? 1:16 PM How many minutes are there between 9:49 AM and 12:54 PM? 185 How many minutes are there between 5:44 AM and 8:49 AM? 185 How many minutes are there between 5:21 PM and 2:05 AM? 524 What is 689 minutes before 7:33 PM? 8:04 AM What is 481 minutes after 5:46 AM? 1:47 PM What is 466 minutes after 3:47 PM? 11:33 PM What is 217 minutes before 3:38 AM? 12:01 AM What is 337 minutes before 6:29 PM? 12:52 PM What is 209 minutes after 5:51 PM? 9:20 PM How many minutes are there between 2:37 AM and 4:06 AM? 89 What is 244 minutes after 7:55 PM? 11:59 PM What is 418 minutes before 8:10 PM? 1:12 PM How many minutes are there between 2:32 PM and 9:22 PM? 410 How many minutes are there between 9:30 AM and 8:45 PM? 675 What is 130 minutes after 11:48 PM? 1:58 AM How many minutes are there between 10:14 PM and 7:21 AM? 547 What is 624 minutes before 7:32 PM? 9:08 AM How many minutes are there between 4:52 PM and 8:23 PM? 211 How many minutes are there between 4:38 AM and 11:36 AM? 418 What is 207 minutes after 7:39 AM? 11:06 AM What is 662 minutes after 7:38 AM? 6:40 PM How many minutes are there between 3:08 PM and 2:20 AM? 672 What is 485 minutes after 2:49 PM? 10:54 PM What is 706 minutes before 4:55 PM? 5:09 AM How many minutes are there between 8:33 AM and 4:34 PM? 481 What is 197 minutes after 8:26 AM? 11:43 AM What is 468 minutes after 4:46 PM? 12:34 AM What is 2 minutes after 12:02 AM? 12:04 AM What is 388 minutes after 12:16 AM? 6:44 AM How many minutes are there between 5:18 PM and 3:00 AM? 582 What is 634 minutes after 11:24 PM? 9:58 AM How many minutes are there between 8:03 AM and 5:35 PM? 572 How many minutes are there between 2:19 AM and 3:47 AM? 88 What is 324 minutes after 8:53 AM? 2:17 PM How many minutes are there between 6:46 AM and 8:29 AM? 103 How many minutes are there between 1:30 AM and 12:48 PM? 678 What is 641 minutes after 2:35 PM? 1:16 AM What is 588 minutes after 10:44 AM? 8:32 PM What is 166 minutes after 9:46 PM? 12:32 AM How many minutes are there between 1:24 AM and 6:51 AM? 327 How many minutes are there between 4:25 PM and 3:32 AM? 667 What is 20 minutes before 5:40 PM? 5:20 PM What is 558 minutes after 8:29 PM? 5:47 AM How many minutes are there between 3:30 AM and 7:27 AM? 237 What is 186 minutes before 3:15 AM? 12:09 AM What is 303 minutes after 1:30 PM? 6:33 PM How many minutes are there between 10:24 AM and 10:01 PM? 697 What is 559 minutes after 4:15 PM? 1:34 AM How many minutes are there between 9:27 AM and 4:15 PM? 408 What is 181 minutes after 4:20 AM? 7:21 AM How many minutes are there between 6:39 PM and 10:36 PM? 237 What is 492 minutes after 9:49 PM? 6:01 AM What is 630 minutes before 2:37 AM? 4:07 PM What is 166 minutes after 10:42 AM? 1:28 PM What is 596 minutes after 3:53 AM? 1:49 PM What is 327 minutes after 12:42 PM? 6:09 PM What is 44 minutes before 7:54 AM? 7:10 AM What is 385 minutes after 1:15 PM? 7:40 PM What is 490 minutes after 11:30 PM? 7:40 AM What is 293 minutes after 8:13 PM? 1:06 AM What is 322 minutes after 9:57 PM? 3:19 AM What is 302 minutes after 10:12 PM? 3:14 AM What is 127 minutes after 7:08 PM? 9:15 PM How many minutes are there between 3:05 AM and 1:48 PM? 643 How many minutes are there between 4:32 PM and 9:32 PM? 300 What is 360 minutes before 12:02 AM? 6:02 PM What is 573 minutes after 3:39 PM? 1:12 AM How many minutes are there between 10:22 PM and 11:39 PM? 77 How many minutes are there between 8:21 PM and 7:54 AM? 693 How many minutes are there between 11:34 AM and 9:25 PM? 591 What is 302 minutes after 8:56 AM? 1:58 PM How many minutes are there between 8:24 PM and 2:08 AM? 344 How many minutes are there between 9:24 PM and 9:49 PM? 25 How many minutes are there between 8:41 AM and 6:01 PM? 560 How many minutes are there between 3:12 PM and 2:28 AM? 676 What is 457 minutes before 6:43 AM? 11:06 PM How many minutes are there between 12:48 PM and 11:55 PM? 667 How many minutes are there between 8:20 AM and 11:44 AM? 204 What is 145 minutes before 10:27 PM? 8:02 PM What is 98 minutes after 2:10 PM? 3:48 PM What is 173 minutes before 10:20 AM? 7:27 AM What is 485 minutes after 6:03 AM? 2:08 PM What is 175 minutes before 6:02 PM? 3:07 PM What is 508 minutes after 4:00 PM? 12:28 AM What is 371 minutes before 9:10 AM? 2:59 AM How many minutes are there between 2:45 AM and 1:45 PM? 660 How many minutes are there between 3:09 AM and 4:16 AM? 67 How many minutes are there between 6:14 PM and 1:38 AM? 444 What is 302 minutes after 7:52 PM? 12:54 AM How many minutes are there between 6:36 AM and 7:15 AM? 39 How many minutes are there between 1:13 PM and 8:07 PM? 414 How many minutes are there between 3:34 PM and 3:29 AM? 715 What is 337 minutes before 9:44 AM? 4:07 AM What is 443 minutes after 6:58 PM? 2:21 AM How many minutes are there between 1:03 PM and 2:03 PM? 60 What is 448 minutes after 11:17 AM? 6:45 PM What is 236 minutes after 7:38 AM? 11:34 AM What is 526 minutes after 8:03 PM? 4:49 AM How many minutes are there between 9:36 AM and 7:45 PM? 609 What is 682 minutes before 12:47 PM? 1:25 AM How many minutes are there between 5:22 PM and 2:50 AM? 568 How many minutes are there between 5:30 PM and 1:43 AM? 493 How many minutes are there between 3:36 PM and 6:14 PM? 158 What is 679 minutes before 4:57 PM? 5:38 AM How many minutes are there between 1:09 PM and 4:33 PM? 204 What is 156 minutes after 8:56 PM? 11:32 PM What is 472 minutes after 6:13 AM? 2:05 PM What is 402 minutes before 2:14 PM? 7:32 AM How many minutes are there between 10:30 PM and 5:33 AM? 423 What is 504 minutes before 9:03 AM? 12:39 AM What is 443 minutes after 5:21 AM? 12:44 PM What is 612 minutes before 4:04 PM? 5:52 AM How many minutes are there between 4:45 AM and 7:19 AM? 154 How many minutes are there between 9:58 PM and 4:12 AM? 374 How many minutes are there between 11:38 AM and 11:08 PM? 690 How many minutes are there between 5:36 PM and 5:13 AM? 697 What is 404 minutes after 10:12 AM? 4:56 PM How many minutes are there between 3:56 PM and 7:51 PM? 235 What is 255 minutes before 11:17 AM? 7:02 AM How many minutes are there between 9:22 AM and 11:09 AM? 107 What is 237 minutes before 5:10 AM? 1:13 AM How many minutes are there between 6:59 PM and 11:38 PM? 279 How many minutes are there between 7:48 AM and 8:38 AM? 50 How many minutes are there between 2:16 PM and 12:55 AM? 639 How many minutes are there between 12:58 AM and 12:13 PM? 675 How many minutes are there between 7:05 AM and 5:46 PM? 641 What is 323 minutes bef
{ "pile_set_name": "DM Mathematics" }
at comes next: 5655, 11319, 16995, 22683, 28383? 34095 What is the next term in -11194, -11206, -11228, -11260? -11302 What is next in -101660, -101662, -101664, -101666, -101668? -101670 What is the next term in -4528, -9561, -14594, -19627? -24660 What is next in -597, -1177, -1757, -2337, -2917, -3497? -4077 What comes next: 40152, 40144, 40134, 40122, 40108, 40092? 40074 What comes next: 16565, 33287, 50009, 66731, 83453? 100175 What is the next term in 99590, 99652, 99714, 99776, 99838, 99900? 99962 What is next in -43121, -86344, -129581, -172838, -216121, -259436, -302789, -346186? -389633 What is next in 2838, 11065, 24778, 43977, 68662, 98833? 134490 What is next in 27, 3, -53, -159, -333, -593, -957, -1443? -2069 What is next in 1847, 3455, 5063? 6671 What is the next term in -2092, -2161, -2230? -2299 What is the next term in -350211, -350216, -350221, -350226? -350231 What is next in 168144, 336301, 504456, 672609, 840760? 1008909 What is next in -34, -119, -256, -445? -686 What comes next: -324, -2491, -8332, -19671, -38332, -66139? -104916 What is the next term in -10006, -10014, -10034, -10072, -10134, -10226, -10354? -10524 What is next in 30, 103, 218, 375, 574, 815, 1098? 1423 What is next in 43066, 86153, 129240, 172327? 215414 What comes next: -212, -863, -1952, -3479? -5444 What is the next term in -3241, -3249, -3257, -3265? -3273 What comes next: 285, 455, 625? 795 What comes next: -1563, -1522, -1449, -1344, -1207? -1038 What comes next: 6424, 12823, 19222, 25621, 32020, 38419? 44818 What is next in -3584, -13968, -31274, -55502? -86652 What comes next: -536, -2107, -4720, -8375? -13072 What is next in -5353, -10714, -16087, -21472, -26869, -32278? -37699 What is next in -3559, -7165, -10771, -14377, -17983? -21589 What is the next term in 466, 489, 508, 523, 534, 541? 544 What is next in -4543, -4531, -4509, -4477? -4435 What is next in 1907, 4496, 7085, 9674, 12263, 14852? 17441 What is next in 139466, 278944, 418422, 557900, 697378? 836856 What comes next: -18670, -18682, -18704, -18742, -18802, -18890? -19012 What comes next: -230854, -461706, -692558? -923410 What is the next term in 850, 530, -332, -2006, -4762, -8870? -14600 What comes next: -413, -438, -461, -482? -501 What is the next term in 27499, 110000, 247487, 439948, 687371, 989744, 1347055, 1759292? 2226443 What comes next: 498, 2012, 4542, 8094, 12674, 18288, 24942? 32642 What is next in 10778, 21561, 32356, 43169, 54006, 64873, 75776, 86721? 97714 What is next in 2107, 2113, 2119? 2125 What is next in -28, -150, -362, -664, -1056, -1538? -2110 What is next in -295, -110, 543, 1664? 3253 What is next in -162, -199, -234, -267, -298? -327 What is next in -138209, -276498, -414775, -553034, -691269, -829474, -967643? -1105770 What comes next: -186378, -186377, -186376, -186375? -186374 What comes next: 1475149, 1475146, 1475141, 1475134, 1475125, 1475114, 1475101? 1475086 What is next in -14903, -14879, -14849, -14819, -14795, -14783, -14789, -14819? -14879 What is the next term in 39742, 39745, 39750, 39757? 39766 What is the next term in -1263, -1203, -1143, -1083? -1023 What comes next: -8892, -35570, -80030, -142272, -222296, -320102, -435690? -569060 What is the next term in -343, -825, -1629, -2755, -4203? -5973 What comes next: 76995, 154002, 231009, 308016, 385023? 462030 What is the next term in 846, 844, 832, 804, 754? 676 What is next in -33, -381, -959, -1767, -2805? -4073 What is the next term in 139, 383, 765, 1273, 1895? 2619 What comes next: -394081, -788162, -1182243, -1576324, -1970405? -2364486 What comes next: 1061, 1131, 1241, 1385, 1557, 1751, 1961? 2181 What is the next term in 36, 33, 32, 33? 36 What is the next term in -132, -497, -1092, -1917, -2972? -4257 What comes next: -463, -952, -1453, -1966, -2491, -3028, -3577? -4138 What is the next term in -1150, -1146, -1142, -1138, -1134, -1130? -1126 What is next in 3308, 6601, 9878, 13139, 16384, 19613? 22826 What comes next: -9, -1, 3, 3, -1, -9, -21? -37 What comes next: -3970, -4009, -4050, -4093? -4138 What is the next term in -8519, -17045, -25573, -34103, -42635, -51169, -59705? -68243 What is the next term in 151, 310, 473, 640, 811, 986? 1165 What is the next term in 679, 2650, 5935, 10534, 16447, 23674? 32215 What is next in 2400, 2377, 2334, 2265, 2164, 2025, 1842, 1609? 1320 What is the next term in 41, 976, 2527, 4688, 7453, 10816, 14771? 19312 What is the next term in -101, 69, 365, 781, 1311? 1949 What is next in -1764, -1860, -2124, -2640, -3492, -4764, -6540? -8904 What comes next: -274, -1103, -2468, -4357, -6758, -9659, -13048, -16913? -21242 What is next in 357, 645, 933, 1221, 1509? 1797 What comes next: -17, 18, 119, 322, 663, 1178? 1903 What is next in -69065, -69066, -69067, -69068? -69069 What is next in -153, -270, -389, -510, -633, -758? -885 What comes next: -217, -879, -1981, -3523, -5505, -7927, -10789? -14091 What is next in 53202, 53204, 53206, 53208? 53210 What is next in -14469, -28943, -43417? -57891 What is the next term in 595, 2069, 4417, 7639, 11735? 16705 What comes next: -98, -137, -62, 187, 670, 1447, 2578? 4123 What is the next term in 9757, 9925, 10093, 10261? 10429 What is next in -151, -332, -519, -712, -911, -1116? -1327 What comes next: -8054, -16100, -24146, -32192? -40238 What comes next: -28265, -28261, -28257, -28253? -28249 What comes next: 10394, 20817, 31244, 41675? 52110 What comes next: 1277, 1274, 1267, 1256, 1241, 1222? 1199 What comes next: 298104, 596180, 894258, 1192338, 1490420, 1788504, 2086590? 2384678 What is the next term in -2747, -2662, -2577? -2492 What is the next term in 1705, 1654, 1575, 1468, 1333, 1170? 979 What is next in 859220, 859219, 859218, 859217, 859216? 859215 What is the next term in -11901, -23829, -35757? -47685 What comes next: 58, 278, 620, 1084, 1670, 2378? 3208 What is the next term in 5401, 5404, 5407, 5410, 5413? 5416 What is the next term in -180, -401, -658, -951? -1280 What is next in 3015, 3005, 2991, 2973, 2951, 2925, 2895? 2861 What is the next term in -2094901, -2094900, -2094899? -2094898 What is the next term in -133830, -267664, -401534, -535458, -669454, -803540, -937734, -1072054? -1206518 What is next in -357, -390, -423, -456, -489, -522? -555 What is next in 1004, 4027, 9076, 16157, 25276, 36439, 49652? 64921 What is the next term in 377, 403, 429, 455, 481? 507 What comes next: 3724, 14897, 33520, 59593, 93116, 134089, 182512? 238385 What is next in -495014, -495013, -495012, -495011, -495010? -495009 What is the next term in -11852, -11887, -11944, -12023, -12124, -12247? -12392 What comes next: 2088, 2141, 2228, 2349? 2504 What comes next: 67, 96, 123, 148, 171? 192 What is next in -1650, -4214, -8568, -15606, -26222? -41310 What is the next term in 287, 838, 1657, 2744, 4099, 5722, 7613? 9772 What is the next term in -732, -755, -810, -915, -1088, -1347, -1710? -2195 What is next in -22020, -21999, -21964, -21915? -21852 What is next in -7769762, -7769763, -7769764, -7769765, -7769766? -7769767 What is the next term in 641, 1523, 2381, 3203, 3977, 4691, 5333? 5891 What is the next term in 121270, 242533, 363796, 485059? 606322 What is next in 47076, 47080, 47096, 47130, 47188? 47276 What is the next term in 169950, 169945, 169936, 169923, 169906, 169885? 169860 What is the next term in -201695, -201696, -201697? -201698 What is the next term in -165, -122, -73, -18? 43 What comes next: -2108, -8493, -19120, -33983, -53076, -76393, -103928? -135675 What is next in 2363, 9462, 21295, 37862? 59163 What is next in -1142, -1251, -1440, -1715, -2082, -2547? -3116 What is the next term in -498, -460, -396, -306, -190, -48, 120? 314 What is the next term in -138, -230, -290, -318, -314? -278 What is the next term in 12844, 12946, 13048, 13150? 13252 What is the next term in 216564, 216567, 216570? 216573 What is next in 7313, 14619, 21921, 29219? 36513 What is the next term in 2242, 2987, 4228, 5965, 8198? 10927 What is the next term in 2326, 2267, 2194, 2107, 2006, 1891? 1762 What is next in 7507, 14985, 22463? 29941 What is the next term in -3586, -14378, -32364, -57544? -89918 What comes next: -56621, -56622, -56615, -56594, -56553, -56486, -56387? -56250 What is next in 44
{ "pile_set_name": "DM Mathematics" }
et n = y - 0.5. Sort 4, n, -3. -3, 4, n Let y(w) = w + 2. Let b be y(-3). Put 6, b, -3 in ascending order. -3, b, 6 Suppose 3*n - n - 8 = 0. Sort n, 3, -2/7 in descending order. n, 3, -2/7 Suppose 0*m + 5*m = -60. Let o = m + 8. Put 1, o, -1 in descending order. 1, -1, o Let x = -4.01 + 0.01. Let n = -18 - -18.7. Let d = 4.3 + n. Put d, -0.1, x in decreasing order. d, -0.1, x Suppose 0 = -j + 2, -13*j + 16 = -5*q - 10*j. Sort 35, -1, q in descending order. 35, -1, q Let s be 200 + 1 + (-4 - -3). Suppose -4*y + s = 48. Let d be y/88 + 3/(-12). Sort 0.4, 2/13, d in ascending order. 2/13, d, 0.4 Suppose 0 = -3*s + 2*s + 7. Suppose s*q - 4*q = 0. Sort q, 2, -3. -3, q, 2 Let q = -0.44 - -0.84. Put 15, 2/3, -3/8, q in increasing order. -3/8, q, 2/3, 15 Let p = -3/34 - -13/918. Let i = -23/54 + p. Let l = -21 + 43/2. Sort i, l, -1/5 in ascending order. i, -1/5, l Let b be ((0 + -4)/(-4)*0)/2. Sort -6, b, 5, -5 in ascending order. -6, -5, b, 5 Let a = 44.2 + -44. Put a, -2, -0.2, 4 in decreasing order. 4, a, -0.2, -2 Suppose 3*t - 5*o = 24, -o - 2 - 1 = 0. Let s be -1*1 - -3 - 0. Suppose -s*f + 4 = 8. Sort f, 5, t. f, t, 5 Let u = -6 - -11. Suppose -3 + 2 = -m. Sort -2, m, u in increasing order. -2, m, u Let o(z) = z**2 - 21*z - 22. Let n be o(22). Sort n, 4, 1 in ascending order. n, 1, 4 Let y = -15 - -19. Let v = -0.5 + 2.5. Sort -1, v, y. -1, v, y Let u be -1 - 2*(0 + 1). Suppose -2*b + 8 = 3*i, 2*i = -4*b + 6*b + 2. Suppose -4*t - 2 = -14. Sort t, i, u in increasing order. u, i, t Let p = -12/7 + 170/91. Put p, -1/4, 3 in decreasing order. 3, p, -1/4 Let l = 49 - 51. Sort 3/2, -0.4, l, -3 in descending order. 3/2, -0.4, l, -3 Let p be 3 - ((-3)/12 - -4). Sort 0, p, 24 in increasing order. p, 0, 24 Let a(d) = d - 5. Let c be a(9). Let b(i) = i + 4. Let s be b(-5). Put c, s, 3 in descending order. c, 3, s Let d = 9.1 + -9. Sort -1/2, -5, d. -5, -1/2, d Suppose 3*w = 3*o, 2*o - 24 = 6*o + 4*w. Put 3, o, 0, -1 in descending order. 3, 0, -1, o Let d = -0.2 - 3.8. Put -18, -1/8, d in decreasing order. -1/8, d, -18 Suppose 5*g = 6*g + 3. Sort 3, -4, g. -4, g, 3 Suppose -5*p - 16 = 3*f, 2*f + 10 = -p - 2*p. Sort f, -6, 5 in descending order. 5, f, -6 Let t(z) = -2*z**2 - 6*z + 6. Let k be t(-6). Let s be 6/(-10)*k/27. Let r = 0.4 - 0.3. Put -2, s, r in descending order. s, r, -2 Let c = -4 - -3.8. Suppose 3*u = 6*u. Let v = -286 + 2006/7. Sort u, v, c in increasing order. c, u, v Suppose -5*j = -20, 2*k - 1 = -3*j + 3. Sort 10, -5, k. -5, k, 10 Let m = 1 + -1.5. Let y = 89/441 + 1/49. Sort m, y, 2/3 in decreasing order. 2/3, y, m Let l = 5/942 + 59863/80070. Let t = 6/17 - l. Put -5, t, -0.3 in ascending order. -5, t, -0.3 Let g = -9 + 7. Let a(t) = t**2 + 2*t - 1. Let c be a(-3). Put c, g, 0 in ascending order. g, 0, c Let h = -32 - -50. Let g = -3 + h. Suppose 0*f = 3*f + g. Sort f, 3, -3. f, -3, 3 Suppose u + 21 = 4*n, 0 = 2*u + 3*u + 4*n - 15. Sort -6, u, -5 in increasing order. -6, -5, u Let h(k) = k**3 + 7*k**2 + 4*k - 8. Let t be h(-6). Suppose -t*n = 12 + 4. Sort n, -0.4, 0.3 in descending order. 0.3, -0.4, n Let l = 646 - 23900/37. Put l, -1, -4/3, -0.1 in descending order. l, -0.1, -1, -4/3 Let y = -6.1 + 11.1. Sort y, -2, -0.2, 1/5 in descending order. y, 1/5, -0.2, -2 Let s = 5 + -4.7. Let a = 5.3 - s. Sort -0.1, -3, a in descending order. a, -0.1, -3 Let w be (6/7)/3 - 31/35. Let h = -4 - -1. Sort w, h, 0 in ascending order. h, w, 0 Let f = 1 - -4. Put 0.5, f, 1, -0.5 in descending order. f, 1, 0.5, -0.5 Let c = 17 + -23. Let h(r) = -r**2 - r + 5. Let v be h(0). Let l be v + c + (-8)/2. Sort l, 1, 0.2 in decreasing order. 1, 0.2, l Suppose 4*o = 8*o + a + 6, 5*o - 5*a = -20. Sort o, 0.5, -0.4, 2 in decreasing order. 2, 0.5, -0.4, o Suppose -6*t + 4*t + 22 = 4*c, -3*c - 3*t = -21. Suppose -4*q = -y - 7 - 11, -2*q = y - 6. Let r be (-9 - -5)/(y + 0). Put c, 0, r in decreasing order. c, r, 0 Let s(g) = -4 + 4*g**2 + 5*g + 1 + g**3 - 3*g. Let j be s(-3). Sort 5, -3, j. -3, j, 5 Let a = -1.75 + 1.65. Put 0.1, -0.007, a in increasing order. a, -0.007, 0.1 Let p = -0.33 - -0.3. Let n = p - 0.03. Let f = n + -2.94. Put f, 0.5, -1/2 in descending order. 0.5, -1/2, f Let g(u) = -2*u - 1. Let l be g(-1). Let r = 109 - 1855/17. Put r, l, -1/4 in descending order. l, r, -1/4 Suppose -3*o + 0*o - 10 = -2*l, -4*o + l - 15 = 0. Suppose 3*c - 8*c = -15. Suppose s + 3*g - 2 = 0, 9 = 2*s - 2*g - c. Sort o, s, -3 in decreasing order. s, -3, o Let i(j) = 11*j**2 - 68*j + 8. Let t be i(6). Let a(q) = 4*q + 3. Let w be a(-2). Put -1, t, w in decreasing order. -1, t, w Let v = 4639/13 - 357. Let l(t) = -t - 4. Let p be l(-3). Let w be -2 - p - (-10)/6. Sort w, v, -4/7 in decreasing order. w, v, -4/7 Let i = 488/5 - 98. Sort i, -1/9, -2 in increasing order. -2, i, -1/9 Let y be ((-1)/3)/(6/(-90)). Suppose 0 = -5*r - y. Sort 12, r, -4 in increasing order. -4, r, 12 Let b = 0.97 + -1. Put b, -0.2, -4 in descending order. b, -0.2, -4 Suppose -4*p + 3*r = 23, 5 = -2*p - r - 4. Sort p, -4, 1 in increasing order. p, -4, 1 Let y(l) be the second derivative of -l**5/20 + l**4/2 - l**3/6 + 4*l**2 - l. Let k be y(6). Let z = 2 + 2. Sort 0, z, k in decreasing order. z, k, 0 Let b(c) = -c**3 - 5*c**2 - 2*c + 5. Let s be b(-4). Suppose 15*q = 7*q + 8. Put q, s, 5 in descending order. 5, q, s Let h = -2 + 5. Let u(s) = 3 - 4*s**2 - 4*s**h + 3*s**2 + 3*s**3. Let r be u(0). Sort r, 1, -2. -2, 1, r Let i = -4 - -1. Let t = 2 - 1.7. Sort i, t, -9 in ascending order. -9, i, t Let j(a) = a**3 - 2*a - 1. Suppose 1 = 4*p + 9. Let h be j(p). Sort h, -4, 2 in descending order. 2, -4, h Suppose 2*w = 3 - 7. Sort 1, 2, w in increasing order. w, 1, 2 Let c(y) = -4*y + y**2 - 1 + 0*y**2 + 3. Let h be c(4). Let z = 0.16 + 0.34. Sort z, -1, h in decreasing order. h, z, -1 Let f = 7.5 + -7.1. Sort 0, 0.5, f, -6 in decreasing order. 0.5, f, 0, -6 Let x = -7 + 2. Suppose 0*m = 2*d + 2*m, -2*m - 12 = -2*d. Put d, x, -3 in descending order. d, -3, x Suppose -4*i = -5*p + 17, -13 = -3*p + 2*p - 4*i. Sort 3, 4, p in descending order. p, 4, 3 Let k = -19 + 19.9. Let s = -15 - -13.9. Let y = k + s. Sort y, -0.4, 0.2 in descending order. 0.2, y, -0.4 Suppose -3*r + 2*d = r - 8, 4*r - 28 = -3*d. Suppose -r*b - 29 = -41. Sort b, 0, -5 in ascending order. -5, 0, b Let a = -0.12 + 3.12. Put -1, 1/3, a in descending order. a, 1/3, -1 Let k = 0.06 - -0.04. Let p = -0.79 - -0.38. Let x = p - -0.01. Sort k, x, -0.5 in descending order. k, x, -0.5 Suppose 3*a = -a - 20. Sort 0, a, -2 in descending order. 0, -2, a Suppose -3*q + q = -2, -2*t - 6 = -4*q. Suppose 0 = -3*c - 2*c + 15. Put c, t, 1 in descending order. c, 1, t Let q be -3 - -2*(-1)/1. Let u(z) = -z**3 + 7*z**2 - 5*z - 2. Let b be u(6). Sort q, 3/5, b. q, 3/5, b Let v be (18/(-4))/((-6)/8). Let b be (-4 + v)/(2*-1). Let h(s) = s + 7. Let w be h(-11). Put w, 0.5, b in descending order. 0.5, b, w Suppose -8*i - 35 = -13*i. Put -5, i, 3, 2 in ascending order. -5, 2, 3, i Let j be 3*(-2 + -2)/4. Sort 2, -5, j. -5, j, 2 Let u(x) = -x - 3. Let o be u(-4). Let v = 0.3 - 0.6. Let h(f) = -f + 6. Let r be h(9). Sort v, r, o in descending order. o, v, r Let n = 1 + -0.6. Let p = n - 0. Let a = p + 0.1. Put 3, 1/4, a in descending order. 3, a, 1/4 Let q = -0.045 - -0.545. Put -5, q, -1, -1/8 in ascending order. -5, -1, -1/8, q Let i = -34 + 29. Suppose 1 = -2*k + k. Put -4, i, k in ascending order. i, -4, k Let h = 1 + 4. Suppose 5*x - 5 = 15. Sort h, x, 1 in decreasing order. h, x, 1 Suppose 2*g + 2*x = 8, -4*g = 7*x - 2*x - 18. Suppose -4 = 3*d - 1. Sort -4, g, d in increasing order. -4, d, g Suppose 3*s = 5 - 2. Suppose 7*o = 10*o + 9. Sort o, s, 4 in descending order. 4, s, o Let n = -12.7 + 13. Let c = 0.2 - n. Sort 2, -4, c in increasing order. -4, c, 2 Let s = -47 + 27. Let c be (-6)/4*s/(-15). Sort c, 3, 2 in increasing order. c, 2, 3 Let h = 3.821 + -4. Let d = 0.051 - h. Let o = 0.07 + d. Sort o, -3, -2 in decreasing order. o, -2, -3 Let f be (3 + 1)/((-6)/(-33)). Sort 4, 5, f. 4, 5, f Suppose 2*f = -0 - 14. Let d(y) = y**2 + 5*y - 10. Let s be d(f). Put s, 0.3, 1 in ascending order. 0.3, 1, s Let x(l) = l**2 - 4. Let z(j) = j**2 - j - 5. Let d(a) = 5*x(a) - 4*z(a). Let b be d(-5). Let n be ((-2)/b)/((-1)/(-5)). Put 5, -1, n in descending order. 5, -1,
{ "pile_set_name": "DM Mathematics" }
- 163*g**2 + 4*g + 11873 What is the o'th term of 163716, 163615, 163514, 163413, 163312? -101*o + 163817 What is the w'th term of 2284623, 9141117, 20568615, 36567123, 57136647, 82277193, 111988767? w**3 + 2285496*w**2 - w - 873 What is the r'th term of 1356, 2886, 4540, 6318, 8220? 62*r**2 + 1344*r - 50 What is the b'th term of -572182, -572131, -572070, -571999, -571918, -571827? 5*b**2 + 36*b - 572223 What is the w'th term of 16737, 17879, 19005, 20115? -8*w**2 + 1166*w + 15579 What is the p'th term of -29976, -30196, -30564, -31080, -31744? -74*p**2 + 2*p - 29904 What is the b'th term of 97066, 194142, 291224, 388312, 485406? 3*b**2 + 97067*b - 4 What is the u'th term of -227650214, -227650218, -227650232, -227650262, -227650314, -227650394, -227650508, -227650662? -u**3 + u**2 - 227650214 What is the o'th term of 4200, 19629, 45340, 81333, 127608? 5141*o**2 + 6*o - 947 What is the r'th term of 1094511, 1094474, 1094437, 1094400, 1094363, 1094326? -37*r + 1094548 What is the g'th term of -14150, -12462, -9638, -5672, -558? g**3 + 562*g**2 - 5*g - 14708 What is the x'th term of 1358023, 1357997, 1357971, 1357945? -26*x + 1358049 What is the f'th term of 1888558, 1888562, 1888566, 1888570, 1888574? 4*f + 1888554 What is the x'th term of -911628, -1823340, -2735052, -3646764? -911712*x + 84 What is the y'th term of -14283135, -14283121, -14283107? 14*y - 14283149 What is the i'th term of 1603699, 3207360, 4811021, 6414682? 1603661*i + 38 What is the y'th term of 466489, 1867160, 4201611, 7469842? 466890*y**2 + y - 402 What is the u'th term of -9127, -9500, -9889, -10300, -10739, -11212, -11725? -u**3 - 2*u**2 - 360*u - 8764 What is the r'th term of -10879, -10891, -10903, -10915, -10927? -12*r - 10867 What is the m'th term of 67400028, 134800057, 202200086, 269600115, 337000144, 404400173? 67400029*m - 1 What is the v'th term of 5830, 6023, 6340, 6781? 62*v**2 + 7*v + 5761 What is the c'th term of 7866622, 62933039, 212399028, 503464375, 983328866, 1699192287, 2698254424, 4027715063? 7866631*c**3 - 9 What is the n'th term of -19083821, -19083819, -19083817, -19083815, -19083813, -19083811? 2*n - 19083823 What is the w'th term of -28415076, -28415073, -28415070, -28415067, -28415064? 3*w - 28415079 What is the q'th term of 44802317, 44802315, 44802313, 44802311? -2*q + 44802319 What is the m'th term of 825, 883, 939, 993, 1045? -m**2 + 61*m + 765 What is the n'th term of 347905460, 695810921, 1043716382, 1391621843? 347905461*n - 1 What is the n'th term of 732, 4174, 10110, 18540? 1247*n**2 - 299*n - 216 What is the h'th term of 178089, 352390, 526703, 701034, 875389, 1049774, 1224195? h**3 + 174294*h + 3794 What is the s'th term of 1063860, 4255420, 9574688, 17021664, 26596348, 38298740, 52128840? 1063854*s**2 - 2*s + 8 What is the o'th term of 30529725, 30529722, 30529719, 30529716? -3*o + 30529728 What is the h'th term of -272599, -545292, -817985? -272693*h + 94 What is the o'th term of -5734, -11587, -17448, -23317? -4*o**2 - 5841*o + 111 What is the p'th term of -26862859, -53725720, -80588581? -26862861*p + 2 What is the f'th term of 21618, 4791, -12036, -28863, -45690? -16827*f + 38445 What is the z'th term of 2239125036, 2239125041, 2239125048, 2239125057? z**2 + 2*z + 2239125033 What is the z'th term of -12324904, -24649808, -36974712, -49299616? -12324904*z What is the o'th term of 263592, 263614, 263660, 263736, 263848? o**3 + 6*o**2 - 3*o + 263588 What is the q'th term of -9615585, -9615596, -9615607? -11*q - 9615574 What is the c'th term of 83271, 83363, 83519, 83739? 32*c**2 - 4*c + 83243 What is the l'th term of -10306, -82120, -276982, -656416, -1281946, -2215096? -10254*l**3 - 36*l - 16 What is the n'th term of -372, -240, 222, 1212, 2928? 33*n**3 - 33*n**2 - 372 What is the i'th term of 391440772, 782881539, 1174322304, 1565763067? -i**2 + 391440770*i + 3 What is the m'th term of 9593, 37918, 84979, 150776, 235309, 338578, 460583? 9368*m**2 + 221*m + 4 What is the d'th term of -1696483, -3392974, -5089469, -6785968, -8482471? -2*d**2 - 1696485*d + 4 What is the t'th term of 37860, 303165, 1023284, 2425623, 4737588? 37901*t**3 + t**2 - 5*t - 37 What is the q'th term of -7316496, -7316492, -7316488, -7316484, -7316480, -7316476? 4*q - 7316500 What is the v'th term of -6579090, -13158103, -19737116, -26316129, -32895142, -39474155? -6579013*v - 77 What is the g'th term of 76777, 153440, 230103, 306766, 383429, 460092? 76663*g + 114 What is the v'th term of 29644, 29773, 30104, 30739, 31780? 17*v**3 - v**2 + 13*v + 29615 What is the m'th term of 16150018, 16150036, 16150078, 16150156, 16150282, 16150468, 16150726, 16151068? 2*m**3 + 4*m + 16150012 What is the h'th term of -2556, -2132, -1580, -900, -92, 844, 1908? 64*h**2 + 232*h - 2852 What is the q'th term of -120490, -488216, -1101092, -1959118, -3062294? -122575*q**2 - q + 2086 What is the j'th term of -5197, -41416, -139741, -331228, -646933? -5176*j**3 + 3*j**2 + 4*j - 28 What is the j'th term of 24208563, 24208571, 24208579, 24208587, 24208595? 8*j + 24208555 What is the l'th term of 9418, 17833, 26274, 34747, 43258? l**3 + 7*l**2 + 8387*l + 1023 What is the p'th term of -2686, -7840, -11144, -8272, 5102? 721*p**3 - 3401*p**2 + 2*p - 8 What is the q'th term of -1506341, -1506344, -1506347, -1506350, -1506353? -3*q - 1506338 What is the m'th term of 52, -2100, -5702, -10760, -17280, -25268, -34730, -45672? -m**3 - 719*m**2 + 12*m + 760 What is the r'th term of 94, -27, -316, -845, -1686? -12*r**3 - 12*r**2 - r + 119 What is the q'th term of -19679, -90774, -209273, -375182, -588507, -849254? -q**3 - 23696*q**2 + 4018 What is the i'th term of 496748, 993619, 1490490, 1987361? 496871*i - 123 What is the t'th term of -4774, -9466, -14086, -18640, -23134? -t**3 + 42*t**2 - 4811*t - 4 What is the r'th term of 24600, 48300, 72000, 95700? 23700*r + 900 What is the r'th term of -372309, -372374, -372439? -65*r - 372244 What is the j'th term of -588561, -588586, -588609, -588630, -588649, -588666? j**2 - 28*j - 588534 What is the v'th term of -1089998409, -2179996817, -3269995225, -4359993633, -5449992041? -1089998408*v - 1 What is the m'th term of 1474, 3051, 4806, 6739, 8850, 11139? 89*m**2 + 1310*m + 75 What is the b'th term of 233137373, 233137372, 233137371, 233137370, 233137369? -b + 233137374 What is the d'th term of 3049, 2591, 1843, 805? -145*d**2 - 23*d + 3217 What is the b'th term of 80695, 161491, 242245, 322957, 403627, 484255, 564841? -21*b**2 + 80859*b - 143 What is the j'th term of -189475, -757898, -1705271, -3031594, -4736867? -189475*j**2 + 2*j - 2 What is the g'th term of -37897, -37477, -37057, -36637? 420*g - 38317 What is the u'th term of -2449775, -2449812, -2449877, -2449976, -2450115, -2450300, -2450537? -u**3 - 8*u**2 - 6*u - 2449760 What is the j'th term of 377, 1186, 2025, 2906, 3841? 2*j**3 + 3*j**2 + 786*j - 414 What is the q'th term of -35205, -67772, -100339? -32567*q - 2638 What is the a'th term of 110, -1026, -2162, -3298? -1136*a + 1246 What is the n'th term of -13202, -106767, -360738, -855317, -1670706? -13367*n**3 - n**2 + 7*n + 159 What is the c'th term of 48102, 48423, 48744, 49065, 49386, 49707? 321*c + 47781 What is the f'th term of 2334782, 4669564, 7004346? 2334782*f What is the u'th term of 209577, 838199, 1885895, 3352665, 5238509, 7543427? 209537*u**2 + 11*u + 29 What is the i'th term of -582635, -1165171, -1747707? -582536*i - 99 What is the s'th term of 13131, 26583, 40363, 54471, 68907, 83671? 164*s**2 + 12960*s + 7 What is the v'th term of 34810601, 34810607, 34810613, 34810619? 6*v + 34810595 What is the k'th term of 183, 407, 509, 429, 107, -517? -10*k**3 - k**2 + 297*k - 103 What is the u'th term of 23990953, 95963825, 215918611, 383855311, 599773925? 23990957*u**2 + u - 5 What is the k'th term of 3207, 25764, 87035, 206376, 403143, 696692, 1106379, 1651560? 3226*k**3 + k**2 - 28*k + 8 What is the y'th term of 96728, 193440, 290106, 386726, 483300, 579828? -23*y**2 + 96781*y - 30 What is the s'th term of -1869215, -3738398, -5607581, -7476764, -9345947? -1869183*s - 32 What is the o'th term of -8569325, -8569329, -8569333, -8569337? -4*o - 8569321 What is the n'th term of -317, -376, -425, -470, -517, -572? -n**3 + 11*n*
{ "pile_set_name": "DM Mathematics" }
ttccctttttcct. Give prob of picking 4 c. 1/143 Four letters picked without replacement from yddccdodd. What is prob of picking 1 y and 3 d? 5/63 Two letters picked without replacement from xxuxvbuxxxbsxsuzu. Give prob of picking 1 s and 1 v. 1/68 Calculate prob of picking 1 x and 1 o when two letters picked without replacement from xxxxxxxxxoxxoxxxxx. 32/153 Calculate prob of picking 2 t and 2 o when four letters picked without replacement from {u: 7, t: 2, c: 3, o: 5}. 1/238 Calculate prob of picking 1 q and 2 p when three letters picked without replacement from {j: 3, p: 7, q: 3}. 63/286 What is prob of picking 1 e and 1 t when two letters picked without replacement from {u: 2, h: 6, n: 1, t: 1, c: 1, e: 4}? 4/105 Four letters picked without replacement from {n: 10, r: 1, g: 2, b: 3, v: 1}. What is prob of picking 1 b, 1 v, and 2 n? 27/476 Two letters picked without replacement from {d: 4, k: 4, p: 1, y: 3, v: 1, m: 4}. Give prob of picking 1 p and 1 y. 3/136 Three letters picked without replacement from {s: 6, o: 2}. What is prob of picking 3 s? 5/14 Two letters picked without replacement from qzltqiqq. What is prob of picking 1 l and 1 z? 1/28 Three letters picked without replacement from {t: 1, c: 2, q: 3, a: 5, e: 5}. Give prob of picking 1 a, 1 e, and 1 q. 15/112 What is prob of picking 3 d and 1 e when four letters picked without replacement from {d: 7, e: 4}? 14/33 Calculate prob of picking 1 h and 2 k when three letters picked without replacement from kkhhhhhhhk. 7/40 Three letters picked without replacement from vqqxxxvpxp. What is prob of picking 2 x and 1 v? 1/10 Two letters picked without replacement from bbcymbm. Give prob of picking 1 c and 1 y. 1/21 Calculate prob of picking 3 f and 1 y when four letters picked without replacement from dfxafddyffffduxd. 1/91 Calculate prob of picking 3 g when three letters picked without replacement from fgggfgggggggggggggg. 40/57 What is prob of picking 2 b and 2 h when four letters picked without replacement from {b: 6, h: 7}? 63/143 Two letters picked without replacement from qmyabbybmmb. What is prob of picking 1 y and 1 a? 2/55 Three letters picked without replacement from oogpkgoooogkcgoggo. Give prob of picking 1 c, 1 p, and 1 o. 1/102 Calculate prob of picking 1 a and 1 o when two letters picked without replacement from {o: 14, a: 4}. 56/153 Two letters picked without replacement from {b: 6, g: 4, m: 9}. Give prob of picking 1 b and 1 m. 6/19 What is prob of picking 2 k, 1 p, and 1 z when four letters picked without replacement from zkzkzppkz? 4/21 Calculate prob of picking 3 o when three letters picked without replacement from ooossososssoo. 35/286 Calculate prob of picking 2 o when two letters picked without replacement from bbbrobbbrbo. 1/55 Three letters picked without replacement from sssszszzzss. What is prob of picking 1 z and 2 s? 28/55 What is prob of picking 3 h when three letters picked without replacement from hxhh? 1/4 Two letters picked without replacement from bqqlnmllnmrllllmbn. What is prob of picking 2 m? 1/51 Calculate prob of picking 3 f when three letters picked without replacement from ffsffffffffffff. 4/5 Three letters picked without replacement from {q: 8, b: 2}. Give prob of picking 1 q and 2 b. 1/15 What is prob of picking 1 z and 1 d when two letters picked without replacement from {z: 10, d: 2}? 10/33 Calculate prob of picking 1 s and 1 w when two letters picked without replacement from {r: 1, s: 3, l: 5, n: 4, i: 1, w: 4}. 4/51 Four letters picked without replacement from ppkdkdddddddddpddvn. What is prob of picking 2 d and 2 p? 33/646 Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {k: 3, e: 3, z: 3, o: 1, g: 7, l: 1}. 1/51 Four letters picked without replacement from kmkkmkkkkmkkkkmkkmkk. What is prob of picking 2 m and 2 k? 70/323 Two letters picked without replacement from eeqexqxqvqqj. Give prob of picking 2 q. 5/33 Four letters picked without replacement from {s: 2, g: 2, l: 4, m: 4, u: 2, r: 1}. Give prob of picking 1 g, 1 m, and 2 l. 16/455 Three letters picked without replacement from {e: 1, w: 2, h: 2, z: 1}. What is prob of picking 2 w and 1 z? 1/20 Two letters picked without replacement from {n: 4, c: 2}. What is prob of picking 2 n? 2/5 Calculate prob of picking 2 l when two letters picked without replacement from lllllll. 1 Three letters picked without replacement from vcedzcv. Give prob of picking 1 e, 1 z, and 1 c. 2/35 Four letters picked without replacement from {y: 8, a: 1, k: 4}. Give prob of picking 1 k, 1 a, and 2 y. 112/715 Three letters picked without replacement from dxxxxxxxxxxxxxdxxxxx. What is prob of picking 2 x and 1 d? 51/190 Three letters picked without replacement from unanmnxuunmumn. Give prob of picking 2 n and 1 x. 5/182 Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {w: 2, l: 1, z: 1, y: 2, t: 1}. 2/21 Calculate prob of picking 2 c and 1 m when three letters picked without replacement from {m: 10, c: 1, x: 7}. 0 Three letters picked without replacement from qhjzhiz. Give prob of picking 1 j and 2 z. 1/35 Calculate prob of picking 1 j, 1 c, and 2 u when four letters picked without replacement from {c: 5, e: 2, w: 1, u: 2, j: 6}. 3/182 Calculate prob of picking 2 v and 2 z when four letters picked without replacement from xtiizixztvtiixi. 0 Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {r: 2, i: 10}. 10/33 What is prob of picking 2 u and 2 p when four letters picked without replacement from ppuukudkddddppd? 6/455 Three letters picked without replacement from {r: 1, s: 7, w: 5}. Give prob of picking 3 w. 5/143 Three letters picked without replacement from {l: 6, t: 2, k: 9, n: 2}. Give prob of picking 1 l and 2 n. 2/323 Three letters picked without replacement from pyypypp. Give prob of picking 3 y. 1/35 Three letters picked without replacement from cccc. What is prob of picking 3 c? 1 What is prob of picking 1 z and 1 f when two letters picked without replacement from {f: 4, b: 1, o: 2, z: 3}? 4/15 Three letters picked without replacement from {k: 2, y: 4}. Give prob of picking 3 y. 1/5 Two letters picked without replacement from {c: 1, p: 1, d: 1, f: 1, r: 1}. What is prob of picking 1 d and 1 p? 1/10 Four letters picked without replacement from veuuueuuuppupuvppvu. Give prob of picking 1 u, 1 v, 1 p, and 1 e. 45/646 What is prob of picking 1 c and 3 p when four letters picked without replacement from ccpppccpppppcppcpp? 22/51 What is prob of picking 4 h when four letters picked without replacement from {r: 2, p: 1, h: 4}? 1/35 Calculate prob of picking 2 u when two letters picked without replacement from {b: 5, u: 6, l: 2}. 5/26 What is prob of picking 1 l and 1 i when two letters picked without replacement from ljjjjsrjjill? 1/22 What is prob of picking 1 j and 1 f when two letters picked without replacement from {f: 1, h: 5, i: 1, d: 1, n: 2, j: 7}? 7/136 Two letters picked without replacement from fyqyena. What is prob of picking 1 f and 1 e? 1/21 Two letters picked without replacement from {u: 1, x: 6, l: 4, e: 2, k: 2}. Give prob of picking 1 u and 1 k. 2/105 Calculate prob of picking 3 j when three letters picked without replacement from {m: 1, g: 13, j: 3}. 1/680 Calculate prob of picking 2 h, 1 m, and 1 x when four letters picked without replacement from {b: 1, x: 1, q: 3, k: 4, h: 1, m: 2}. 0 Calculate prob of picking 2 w and 1 k when three letters picked without replacement from {k: 2, w: 3, e: 12}. 3/340 Two letters picked without replacement from rnjpjrxijjjxjpx. Give prob of picking 1 x and 1 n. 1/35 What is prob of picking 1 s, 1 o, and 1 r when three letters picked without replacement from {s: 1, r: 4, b: 1, q: 1, a: 4, o: 3}? 3/91 Two letters picked without replacement from {b: 1, d: 1, p: 2, f: 1}. What is prob of picking 1 p and 1 f? 1/5 Calculate prob of picking 1 c and 1 t when two letters picked without replacement from ctttcccctccctttttct. 10/19 Three letters picked without replacement from {x: 1, y: 11}. What is prob of picking 1 x and 2 y? 1/4 Two letters picked without replacement from {t: 4, w: 3, j: 7}. What is prob of picking 1 j and 1 t? 4/13 Calculate prob of picking
{ "pile_set_name": "DM Mathematics" }
0 = 0. Let y(p) = p - 4. What is y(b)? 2 Suppose -4 = -3*l + 2. Let c be -4*l*(-2)/(-4). Let a(s) be the first derivative of 3*s**2/2 + 6*s - 1. Determine a(c). -6 Let c(j) = -2*j + 1. Let k be c(-1). Suppose 0*g + g = -5*f - 12, k = -3*f - 2*g. Let h(l) = l**2 + 4*l + 2. Give h(f). -1 Let q(d) = -3*d**3 + 3*d**2 - 2*d + 1. Let j(z) = z**2 - 13*z - 4 + 3 + 3. Let r be j(13). Calculate q(r). -15 Let o(j) = 2*j. Suppose 0 = -11*c + 6*c + 15. Suppose 0 = -c*b + 11 - 2. Determine o(b). 6 Let d(f) = -3*f**3 - 3*f**2 - f + 1. Let k(j) = -2*j**3 - j**2 - j. Let i(t) = 3*d(t) - 5*k(t). Give i(3). 0 Let g = 1 + 4. Let p(o) be the second derivative of o**4/12 - 2*o**3/3 - 3*o**2/2 - 2*o. Calculate p(g). 2 Let n(m) be the third derivative of -m**4/24 + 5*m**3/6 - 2*m**2. What is n(6)? -1 Let c(z) be the third derivative of 0*z + 1/120*z**6 - 1/15*z**5 + 1/12*z**4 + 0 + z**2 + 0*z**3. Determine c(3). -3 Let i(n) = n**2 + n - 5. Let r be i(-5). Let c be (24/r)/(4/10). Let a(t) be the second derivative of -t**5/20 + t**4/3 + 5*t**2/2 + 5*t. What is a(c)? 5 Let s(o) = 3*o - 12 + 1 + 6. Give s(4). 7 Let i(p) = p**2 + p. Suppose 2*f - 3 = -1. What is i(f)? 2 Let a(z) = z. Suppose 0*y = 5*y - 50. Let h be 2/y + 18/10. Let t be -1*1*(5 - h). Calculate a(t). -3 Let w(d) = d - 3. Let g(i) = 3. Let s(k) = 2*g(k) + 3*w(k). Calculate s(-4). -15 Let d(k) = k - 4. Let l be d(6). Suppose -l*w + 4*w - 5*r = 14, -5*w = -5*r - 20. Let g(t) be the first derivative of t**2/2 - t - 1. Calculate g(w). 1 Let n(x) = x + 7. Let l(z) be the first derivative of z**2/2 + 7*z + 3. Let y(m) = -4*l(m) + 3*n(m). What is y(-6)? -1 Suppose -2*h + 20 = 3*h. Let q(c) = c - h + 5*c**2 - c**3 + 1 + 0*c. Let i = 8 - 3. What is q(i)? 2 Let s = -5 - -8. Suppose -s*k = -0*k. Let g(p) be the second derivative of -p**5/20 + p**4/12 - 3*p**2 - 2*p. Calculate g(k). -6 Suppose 3*f = -r + 6*r + 10, 3*f = -3*r + 18. Let g(v) be the third derivative of v**4/12 - v**3/6 + 19*v**2. Determine g(f). 9 Let u(x) = 6*x + 2 + 7*x - 12*x. Let g(a) = 2*a. Let n be g(3). Give u(n). 8 Suppose 4*u = 0, 4*s - 25 + 1 = 2*u. Suppose 3*t + s = -0*t. Let q(d) = -2*d**3 - 3*d**2 - 4*d - 3. What is q(t)? 9 Suppose 17 = h - 4*p, -h - h - 5*p = 18. Let b(s) = 10*s**3 - s**2 + s - 1. What is b(h)? 9 Let w = 5 - 2. Let s(o) = -2*o + 3. Let b(l) = l - 4. Let q(i) = w*b(i) + 2*s(i). Let y(c) = c**3 - 5*c**2 + 2*c + 3. Let t be y(4). Calculate q(t). -1 Let q(o) = -o**3 - 2*o**2 + 2. Let a(z) be the third derivative of -z**4/24 + 4*z**3/3 + 3*z**2. Let y be a(10). What is q(y)? 2 Let n = -6 - -9. Let h be (4/6)/(n/27). Suppose g - 5 = h*g. Let w(u) = u**2 + 1. Give w(g). 2 Let q(u) = u**3 - 4*u**2 - 2*u - 7. Suppose -7*s = 3*s - 50. Determine q(s). 8 Suppose -12*a + 9*a = -24. Let p(o) = -o**2 + 7*o + 5. What is p(a)? -3 Let c(s) be the second derivative of s**4/12 - 2*s**3/3 - 5*s**2/2 - 5*s. Let j be 159/(-18) + 2/(-12). Let a = j - -13. What is c(a)? -5 Let c(w) = -3*w. Let d = -8 + 7. What is c(d)? 3 Let i(t) = t**2 + 2*t. Let x be (-3 + 0)*(-3 + 4). What is i(x)? 3 Let n(c) = 4*c + 2*c + c + 48 - 5*c. Let w be n(-21). Let i(q) = 5 - q**2 + 2 + q**3 - 5*q**2. What is i(w)? 7 Let f(r) = -5*r - 1 + 3*r**2 - 4*r**3 + 3*r**2 + 5*r**3 - 2*r**3. Let g be f(5). Let i(p) = -5*p**3 - 2*p**2 - 2*p - 1. What is i(g)? 4 Let s(i) = 10*i**2. Let c = 1 - -3. Suppose -x = -4*m - 7, -x - c*m - 7 = -m. Determine s(x). 10 Let s(m) = -2*m - 1. Let b be (-2 + (2 - -1))*(-102)/17. Determine s(b). 11 Let g(m) = -2*m - 7. Let t be g(-5). Let o(x) = -x**2 + 2*x - 4. Determine o(t). -7 Let y(a) = 7*a**2 + 4*a + 9. Let f(n) = -6*n**2 - 3*n - 8. Let r(z) = 6*f(z) + 5*y(z). Let j be ((-12)/(-20) + 0)*5. What is r(j)? -6 Let m(i) = 6*i**3 + i**2 + i - 1. Let r(a) = a**2 + 5*a + 5. Let j be r(-1). What is m(j)? 7 Let q = 15 - 9. Let n(v) be the third derivative of v**4/24 + v**3/3 - 55*v**2. What is n(q)? 8 Let j(x) = -x**3 - x**2 - 5. Let s be j(0). Let z(w) = -7*w - 13. Let g(n) = 10*n + 19. Let a(r) = s*g(r) - 7*z(r). Let k = -3 + 3. Determine a(k). -4 Let z(o) = -3*o - 2. Let a(n) = -n - 1. Let m(u) = -6*a(u) + 3*z(u). Let h(v) = -6 + 2*v + 2*v + v**2 + 2*v. Let b be h(-7). Give m(b). -3 Let h(o) = 7*o**2 - 1. Let u be (-25)/5 + (0 - -3). Let q be 0 + (u - (-1 - 2)). Give h(q). 6 Let a(m) = m**3 - 9*m**2 + m - 10. Let x(t) = -t**3 - 6*t**2 - 6*t + 4. Let l be x(-5). Calculate a(l). -1 Let g(q) be the second derivative of -q**4/12 - 7*q**3/6 - q**2 - 5*q. Determine g(-6). 4 Let t(l) = -l**2 + l. Let g be t(-2). Let h be (2 + 1)*10/g. Let m(r) = 2*r - 1. What is m(h)? -11 Let x(g) = 6*g + 37. Let j be x(-7). Let c(m) = -m**3 + 8*m**2 + 4*m + 2. Let w(i) = 3*i**3 - 17*i**2 - 8*i - 5. Let q(k) = -5*c(k) - 2*w(k). Calculate q(j). -5 Suppose -3*v + 3 = 18. Let y(i) = i**2 + 6*i + 5. Give y(v). 0 Let r(b) = -b + 1. Let v be r(5). Let y be 3/(-2) + (-2)/v. Let k(t) be the third derivative of t**4/24 + 2*t**2. Calculate k(y). -1 Let o(m) = 3*m**2 + 6*m + 7. Let j(g) = -5*g**2 - 5*g - 7. Let c(n) = 2*j(n) + 3*o(n). Determine c(8). 7 Let t(r) = -2*r. Let y(i) = -i. Let s(m) = 3*t(m) - 10*y(m). Let h be s(-1). Let v(k) = 4*k - 1. Let q(p) = -5*p + 1. Let g(d) = 5*q(d) + 6*v(d). What is g(h)? 3 Let j = 2 + 3. Let k(q) = q + j - 5. What is k(3)? 3 Suppose 0*p - 6 = -3*p. Suppose -3*d - 3*u = d - 29, -5*d + p*u + 42 = 0. Let l(x) = -d*x + 3*x - 3*x. What is l(1)? -8 Let v be -2*3/6 - -1. Suppose v*z + 18 = -3*z. Let n = z - -3. Let c(j) = j**3 + j**2 - 4*j - 1. Determine c(n). -7 Let m(p) = -7*p + 7. Let h(k) = 4*k - 3 - 3*k + 2*k. Let c(x) = -15*h(x) - 6*m(x). Give c(4). -9 Let s(w) = -2*w - 2. Suppose 9 = -3*o + 3. Let n be (-4 - -6)/(o/3). Calculate s(n). 4 Suppose o - 2*m = -o - 20, 0 = -5*m + 25. Let a(d) be the first derivative of 1 - 3*d - 5/3*d**3 - 1/4*d**4 + 1/2*d**2. Determine a(o). -8 Let v(d) = d**2 - 2*d - 5. Suppose -2*i - 5*f = 3 + 7, 0 = -4*i - 5*f. What is v(i)? 10 Let u = 13 - 9. Let x = u + -2. Let i(m) = m**2 + 3 - 2*m**2 + x - 3. Give i(2). -2 Let c be (0 + 0)/((-6)/(-6)). Let y = 0 - -3. Let n(i) = 4 - y*i + 5*i + c*i. Calculate n(-4). -4 Suppose -7 = -4*b + 3*g, 6*g + 19 = 3*b + g. Let h be 0 - 1/((-1)/3). Let q(a) = 2*a - 4*a - h*a + 1. Determine q(b). 11 Let g(r) = -r. Let c(q) = -6*q - 1. Let w(k) = -c(k) + 5*g(k). Determine w(3). 4 Let g(s) = 4*s + 3. Let o be g(-2). Let f(p) be the second derivative of p**2 + 1/20*p**5 + 0*p**3 + 5/12*p**4 + 0 - 8*p. What is f(o)? 2 Let r(k) = -k + 2. Suppose -4*v - 35 + 99 = 5*q, v = -5*q + 76. Let a be (q/(-6))/((-6)/(-9)). Calculate r(a). 6 Let y = -42 + 46. Let j(g) = -g**2 + 4*g + 5. What is j(y)? 5 Suppose c - 35 + 11 = 3*h, 5*c + 15 = 0. Let x(a) = -a - 7. Let g be x(h). Let n(v) = -3*v - 2. Determine n(g). -8 Let o(p) be the second derivative of -p**3/3 + p**2/2 + 5*p - 8. Determine o(-4). 9 Let n(w) be the first derivative of -4*w**3/3 + 3*w**2/2 - w - 1. Let h(z) = z**2 + z. Let o(i) = 3*h(i) - n(i). Let k = 34 - 33. What is o(k)? 8 Suppose 0 = 2*d + d. Let a be d*((-14)/4 + 3). Let j(z) = z - 3. What is j(a)? -3 Let w = 124 - 116. Let r(v) = -v**3 + 8*v**2 + v + 6. Calculate r(w). 14 Suppose -q + 10 = -6*q - 5*y, 2*q = -y - 6. Let g(p) = 4*p**2 - 69*p + 69*p + p**3 + 3. Calculate g(q). 3 Let z(k) = 3*k + 4*k**3 + 5*k**3 - 8*k**3 + k**2 + 4 - 6*k**2. Give z(3). -5 Let r(h) = -5*h**3 + 23*h**2 + 8*h - 5. Let q(s) = 3*s**3 - 15*s**2 - 5*s + 3. Let z(o) = -8*q(o) - 5*r(o). Let g = 13 + 2. Let m be (g/2)/(-3)*2. Give z(m). 1 Let y(m) = 5 + 7*m**3 - 4*m**3 - m**2 - 2*m + 2*m**2 - 4. Let h be (-4)/18 + 22/18. Give y(h). 3 Let v be (0 - 2) + 3 + 2. Let q(g) be the second derivative of -7/2*g**2 + g + 1/6*g**v + 0. Determine q(6). -1 Let u(k) = -k**2 + 4*k - 6. Let z(v) = -2*v**2 + 7*v - 13. Let y(l) = l + 7. Let f be y(-12). Let n = -1 - -3. Let b(c) = f*u(c) + n*z(c). Calculate b(4). -4 Let r(y) be the first derivative of y**4/4 - y**3/3 - y**2/2 + 5*y + 3. Let s(l) = -l**3 + 6*l**2 + 8*l - 7. Let v be s(7). Determine r(v). 5 Let n(f) = f**3 - 5*f**2 + 4. Let m(x) = -5*x**3 + 25*x**2 - x - 20. Let g(t) = 2*m(t) + 11*n(t). Suppose s = 2*a - 8, -3*s + 19 = 3*a - s. Determine g(a). -6 Let x(w) = 2*w + 2. Suppose 8*n + 40 = 8. Give x(n). -6 Let j be 0/2 - (2 + -1). Let t(s) = -s - 2. Let f be t(-3). Le
{ "pile_set_name": "DM Mathematics" }
t of 158958141? 1 What is the thousands digit of 1328279250? 9 What is the ten millions digit of 552488831? 5 What is the ten millions digit of 1137802333? 3 What is the tens digit of 131519283? 8 What is the hundreds digit of 44756065? 0 What is the units digit of 12164206? 6 What is the tens digit of 1470023650? 5 What is the ten thousands digit of 87515179? 1 What is the ten millions digit of 1661180474? 6 What is the tens digit of 23364683? 8 What is the millions digit of 14981829? 4 What is the thousands digit of 2057553522? 3 What is the hundreds digit of 164578838? 8 What is the tens digit of 19126878? 7 What is the billions digit of 7235443497? 7 What is the tens digit of 62834905? 0 What is the thousands digit of 70740570? 0 What is the ten millions digit of 74512974? 7 What is the hundreds digit of 146977254? 2 What is the hundred thousands digit of 5099725372? 7 What is the tens digit of 185825070? 7 What is the millions digit of 3362993168? 2 What is the thousands digit of 707463680? 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{ "pile_set_name": "DM Mathematics" }
5*l, -l + k - f*k = -3529. Is l a prime number? False Suppose -3*b = 4*k - 1, -6*b + b - 3*k + 9 = 0. Suppose -b*q - 4 = -5*a, q - 5*a - 8 = -26. Suppose 0 = -q*d + 6*d + 53. Is d a composite number? False Let d be (-48)/(-2) - (4 - (3 - -5)). Suppose -q + 21 = 4*z, -2*z + 3*q = 7*q - d. Is 5/(z + (-507)/127) composite? True Suppose 5*a - 105 = -2*t, -5*t - a + 230 = -44. Suppose 0 = 3*l + 8*l - t. Suppose l*o + 489 - 3274 = 0. Is o a composite number? False Suppose k = 5*b + 155938, 33*k + b = 38*k - 779570. Is k prime? False Let g(v) = v**2 - 8*v + 42. Let q be g(9). Suppose 2*d + 5 = -19. Let i = d + q. Is i prime? False Suppose 0 = -4*x + 16, -9454 - 9814 = -4*j - 3*x. Let q = j - 2932. Is q prime? False Suppose 0 = -14*x + 15*x + 2*s + 2, x - s - 10 = 0. Is (x/4)/(559635/(-62182) + 9) a prime number? True Is 242/(-968)*1*-182564 a prime number? True Let c(m) = 4*m + 1893. Let u(l) = -l**2 + l + 56. Let y be u(8). Is c(y) a composite number? True Suppose -2*f = 2*d - 7202, 52*f - 5*d + 3601 = 53*f. Is f composite? True Is -2 + (1 - -1 - -9 - -373002) prime? False Let j = 1114989 - 722186. Is j a prime number? True Suppose -3*l = -3*f - 6, 5*l - 23 - 11 = -f. Suppose 5*j = -5*n + 93525, 3*j + 4*n + 56087 = l*j. Is j prime? True Suppose 66626 = 9*u + 5*u. Let d = u - 1249. Suppose -4*m + 7*m - d = -3*w, -4*w + 4 = 0. Is m composite? True Let s = -96 - -96. Suppose 74*x - 81*x + 3941 = s. Is x a prime number? True Is 15 + 14913 + ((-10)/(-8))/((-19)/76) a prime number? True Is (-636807)/(-7) + (-790)/553 a prime number? True Let t(j) = j**3 + 16*j**2 + 23*j - 24. Let y be t(-14). Suppose -u - 3575 = -2*i - y, 0 = 3*u + 15. Is i a prime number? False Let c = 3828777 + 82144. Is c composite? True Suppose -6 = -4*o + 6. Suppose o*q - 1440 = -5*w, 3*w - 4*w + 288 = 4*q. Suppose 2*n + w = 2*v + 3*n, 3*n - 429 = -3*v. Is v a prime number? False Let q(c) = -c**3 + 14*c**2 + 15*c + 4. Let v be q(15). Suppose -3*g + v*g = 1733. Is g composite? False Let i = -567 + 1106. Let p = i - 122. Suppose p + 163 = 4*y. Is y composite? True Let d(h) = h**3 - 2*h**2 - 2*h + 1104. Let u be d(0). Let w = 2299 - u. Suppose 0 = 6*t - 11 - w. Is t composite? True Suppose 12*z - 17*z + 30 = 5*v, 4*z = 3*v + 3. Suppose -z*x - 9467 = -y, -x = -y + 2*y - 9459. Is y composite? False Let t be (1 - (-204)/8)*22. Suppose -q = -v + 67 + t, -v - q + 640 = 0. Let z = v - 286. Is z a prime number? True Let t = 3623 - -725. Let y = -1791 + t. Is y prime? True Suppose 2*y - 4*r = 0, 4*y + r = y + 21. Is (-4)/(-24)*y - -5 - -1741 composite? False Let h(w) be the first derivative of 2*w**3/3 + w**2/2 - 13*w - 44. Let k be h(3). Is (-24364)/(-10) - ((-43)/5 + k) a composite number? False Suppose -26*a - 5 = -25*a, 2*g + 5*a - 443973 = 0. Is g a prime number? True Let r(w) = 6433*w**3 + 6*w**2 - 4*w + 2. Let a be r(2). Let f = a + -32943. Is f a prime number? True Is (2/(-15))/(736/(-1380)) - (-5198193)/12 prime? False Is (0 - 93736/36)/(48/54 + -1) a prime number? False Let m(v) = -3*v + 20. Let z be m(5). Suppose -3*q = -z*k - 5*q + 14, 31 = 4*k - 5*q. Suppose k*l - 2*x - 5029 = -x, -3*x - 3 = 0. Is l a prime number? False Let a(j) = 2*j + 89. Let r be a(-12). Suppose -b - 6 + r = 0. Is b composite? False Let p = -45501 + 154658. Is p a prime number? False Let k(u) = -u - 4. Let b be k(-3). Let i be ((-2 - b)*-1 + 0)*3. Suppose 5*y - 5*x = 3150, -2*x + i*x + 3154 = 5*y. Is y a composite number? False Let h = 6003 + -6478. Let i(v) = -6*v + 6. Let l be i(6). Let t = l - h. Is t a composite number? True Let o = -47 - -50. Suppose 12347 = o*d + 3110. Is d composite? False Let f(t) = 14*t**3 + 210*t**2 + 23*t - 120. Is f(11) prime? False Suppose 77394971 = 268*l - 160144953. Is l a composite number? True Let d(l) = 480*l**2 - 3*l + 1. Let a be d(1). Suppose 3*b = a - 130. Suppose -g + 2*x + 1161 = 0, -4*g + x + 4521 = -b. Is g a prime number? False Let o(k) = -2*k + 41. Let y be o(16). Let z be (-234)/(-52)*4/y. Is (1112/8)/(z/6) prime? False Let j be (2 - 2) + (-25 - -28). Suppose -4*p + 15*g + 55800 = 11*g, j*p + 2*g - 41825 = 0. Is p composite? True Suppose -12*s = -72 - 96. Let f = s - 28. Is f/(-21)*(-3342)/(-4) prime? True Suppose 0 = -4*r, -240*z - 4*r + 69518 = -238*z. Is z composite? False Let g be 3 - (2/1*-1 + 0). Suppose -16 = -9*q + g*q. Suppose 1120 = 2*s - j, 0*s - 5*j = -q*s + 2246. Is s composite? True Let q be (-5)/4*(-67 - -7). Let x = 66 - 50. Let z = x + q. Is z composite? True Let q(b) be the third derivative of 1633*b**4/24 - 5*b**3/3 + 68*b**2. Is q(3) composite? False Let d be 4 + -5 + 24548 + -6. Let h = d - 5154. Is h a prime number? True Let a(i) = 827*i**2 + 212*i + 7637. Is a(-40) a prime number? True Let f be (-28)/(-70) - -114*(-3)/30. Let n(w) = -2*w**3 - 10*w**2 - 20*w - 41. Is n(f) composite? True Suppose -k + 4*l = 23, -3*l + 44 = -4*k + 17. Let m be -23*1 + k/9*-12. Let v(j) = -j**3 - 16*j**2 + 11*j + 37. Is v(m) composite? False Let f be 5474/10 - 4/10. Suppose 77*b - 429 = 187. Suppose -f = -b*r + 7*r. Is r a composite number? False Suppose 0 = 3*p + 976 + 7562. Let m = 6173 + p. Is m a composite number? True Is 22/(-6)*(-14485329)/417 a composite number? True Let w = -83344 + 344285. Is w a prime number? True Suppose -4*a + 0*l - 3*l = 29, 0 = 5*a - 4*l + 13. Is 1944 - (26/a + 24/120) composite? False Let j be 1/((-5)/(-13074)) + 1/5. Suppose -v - o + 857 = 2*o, -j = -3*v + 2*o. Suppose -3*x + 6519 = 5*p - v, 5913 = 4*p + 5*x. Is p composite? True Let f(a) = -10*a**3 - 3*a**2 - 4*a + 5. Let g(l) = l**3 + l**2 - 2*l + 1. Let m be g(0). Let q = -5 + m. Is f(q) a composite number? False Suppose 2 = -3*y + 2*d + 2*d, 2*d = -2. Let j be 28/14*(2 - y/4). Suppose j*g - 352 = 293. Is g a prime number? False Let b(s) = -41*s**2 - 206*s + 4. Let q(i) = -82*i**2 - 410*i + 7. Let m(y) = -5*b(y) + 2*q(y). Is m(23) a composite number? False Let f = -419230 + 641997. Is f a composite number? True Suppose -19*n - 128044 + 678079 = 26*n. Is n a composite number? True Let v be (5667/2)/(-8*(-6)/96). Let u = 10967 - v. Let h = -1315 + u. Is h a prime number? False Suppose 5*f = -4064 - 381. Suppose -4*w = -q - 2*q - 1668, -2220 = 4*q - 4*w. Let r = q - f. Is r composite? False Let d = -142 + 146. Suppose 3*v + 5*g = 2699, -13*v + d*g - 2695 = -16*v. Is v composite? True Suppose -2*k = -s - 3, k - 2*s - 6 = 3*k. Let f = 18 + -13. Suppose k = -f*t + 6*t - 869. Is t a prime number? False Suppose 80*c - 83*c = -5*t + 433261, -3*t = 4*c - 259945. Is t composite? True Let i be (-1 - 0)/((-5 + 2)/6). Suppose 0*r + 8 = 2*r, i*h - 5*r - 35086 = 0. Is h prime? False Suppose -2*i = -10, 4*r + r + i = 5. Suppose r = 34*a - 52200 - 33514. Is a composite? False Is -23 + 3614/156 + ((-159737)/(-6) - 0) prime? False Suppose -28 = 5*u - 7*u. Suppose -4 = u*o - 13*o. Is 2/2*o - -1887 a prime number? False Let o = -303855 + 437624. Is o prime? True Let j(g) = 17*g**2 + 4*g + 5. Let v(d) be the first derivative of d**3/3 + 15*d**2/2 - 12*d + 20. Let r be v(-16). Is j(r) a composite number? False Suppose -h - 5*n = 4*h + 19405, 3*h = 3*n - 11631. Let k = h - -7334. Is k prime? False Let l(i) = 71274*i + 4067. Is l(13) a prime number? False Suppose 0 = 5*l + 3*f - 2, 3*l + 7 = 5*l - 5*f. Let n(m) be the third derivative of 59*m**6/40 - m**4/24 + m**3/3 - 2*m**2. Is n(l) composite? True Suppose -32 = -4*q - 3*n, 0 = 2*q + 5*n - 2 - 0. Suppose q*o - 5*o - 4416 = 0. Suppose -h = -5*a + 7 + 1860, o = 2*a + 5*h. Is a a composite number? False Suppose 0 = 2*c + 4*a - 16, -10 = -5*a + 5. Suppose 4*x - 4 = -c*r, 2*r = r - x + 3. Suppose -2 - 76 = -r*g - 2*d, d = -3. Is g composite? True Let o be (30/10 + 3)*1/2. Suppose -21252 = -3*d - o*b, 0 = 3*d - b + 7214 - 28446. Is d a composite number? False Let s(b) = 222*b**2 + 44*b + 481. Is s(-10) prime? False Let s(y) = -3*y - 23. Let g be s(-5). Let l be 33/44*g/(-3). Suppose l*a = 89 + 197. Is a prime? False Let r be -15*((-2)/(-8))/((-10)/24). Let j = 13 - r. Suppose -j*w - 1495 = -5763. Is w composite? True Let v(z) = -2*z + 14. Let o be v(6). Suppose 3*f + f = 2*a - 40, -a - o*f + 32 = 0. Let t = a + -16. Is t composite? True Let d(b) = -247*b - 176. Let c(o) = 498*o + 353. Let r(t) = -3*c(t) - 7*d(t). Is r(28) composite? True Let j(p) be th
{ "pile_set_name": "DM Mathematics" }
q = 54.8 - 54.83. Which is the closest to 2/5? (a) -2/17 (b) 1/4 (c) -1/4 (d) q b Let t = 3.16 + -2.86. Which is the closest to 4? (a) t (b) 0 (c) -5 (d) 1 d Let f be ((-4)/(-4) + -1)*-1. Let x = 1.7 + -1.3. Which is the nearest to f? (a) x (b) -5 (c) 4 a Let v = -21.04 + 17.04. What is the nearest to -0.1 in 3/4, 5/4, v? 3/4 Let p = -8.2 + 7. Let d = p - -3.4. Let f = d - 2. Which is the nearest to f? (a) -2 (b) 0.1 (c) -4 b Let f = 0.02 - -0.18. Let q = 0.04 - -0.26. Let t = -26 - -25.9. What is the nearest to t in q, 2, f? f Let s = 56 + -54. What is the nearest to -3/10 in -5, -4/7, s, -2/13? -2/13 Let h(f) = 3*f**2 - 17*f + 9. Let t be h(5). Let b = -7 + 5.2. Let m = -0.8 - b. What is the closest to t in m, 4/3, -0.3? -0.3 Let r = -11.5 - -11. Let o = 11.7 - 9.7. Which is the nearest to -0.2? (a) 0.2 (b) o (c) r c Let m = -0.2228 - -0.3628. Which is the closest to m? (a) -5 (b) -1 (c) 2 (d) 1/2 d Let f = -64.5 + 61.5. What is the closest to f in 2, -3/5, -1/4, 4? -3/5 Let q = 0.137 - 25.137. Let t = q + 25. Which is the nearest to t? (a) -2 (b) -0.2 (c) -2/5 b Let h = 31.08 - 31. Let q = -3.28 + h. Let n = q + 0.2. What is the closest to n in 1, -5, -0.4? -5 Let x = -611 + 605. What is the nearest to x in 3, 5, 2, -1/3? -1/3 Let l be 1/(-4) - (-105)/196. Let h = -20 + 18. What is the nearest to l in h, 2/3, 0? 0 Let l = -0.2 - 1.3. Let v = -1.49 - l. Let m = v + -0.21. What is the nearest to m in 5, 0.5, -1? 0.5 Let u = 0.9 - -2.7. Let y = u - 0.6. Which is the closest to 2? (a) -4 (b) 0.3 (c) y c Let w = 120 - 119.38. Let f = 0.72 - w. Which is the closest to f? (a) -1/5 (b) -1/3 (c) -9/4 a Let z = 2 + -1.9. Suppose -24*g - 48 = -36*g. Which is the closest to -2? (a) g (b) z (c) -3 c Let d = -6 + 14. Let o be (64/d)/(-2 + 4). Suppose 0 = o*j - 9*j + 5. Which is the nearest to j? (a) -1/2 (b) -2/5 (c) -5 b Let p = -246 - -270. Which is the closest to 0? (a) p (b) -1 (c) 2 b Let x = 210 - 209.7. Which is the nearest to 2/5? (a) 73 (b) -2/7 (c) x (d) 1 c Let p = -1.1 - -2.1. Let z = -0.3 + 0.4. Which is the nearest to z? (a) 4 (b) 5 (c) p c Let n = -1 - -2. Suppose 4*w - 3 = n. Let j = 293 + -1177/4. Which is the closest to 0.1? (a) j (b) -2 (c) w c Let m = 97 - 97.162. Let j = m + -2.838. What is the closest to -0.1 in j, 3/8, -0.3? -0.3 Let h be (-14)/8*(-10)/(-7). Let n = -3 + 1. Which is the closest to 3/2? (a) -0.3 (b) n (c) h a Let z = -4 - -3. Let f = -1/34 - 31/102. Let k = -0.096 + 0.296. What is the closest to f in 0, z, k? 0 Suppose 0 = -124*p + 125*p + 3. Let i = 0 - 0.1. Which is the closest to p? (a) -1/3 (b) i (c) -0.3 a Let i be 1 + (-2)/(40/12). Let g = i - -4/15. Let m = -6.7 + 7. Which is the nearest to -0.1? (a) g (b) m (c) -0.3 c Let z = -59 - -57. Let q = z + 2.1. Which is the nearest to 2/5? (a) 2/9 (b) q (c) 0.3 c Let w be (-2)/5*10 - 0. Let s = -10/3473 - -373671/715438. Let a = s - 2/103. What is the closest to a in 3, w, 1? 1 Let j be 2 + (-2)/((-2)/3). Let d = 12.41 + -12.61. Which is the closest to d? (a) 0.5 (b) j (c) -2/3 c Let b be (-16)/(-6)*(-3)/6. Suppose 4*c - 38 = -18. Suppose -9*x - c = -14*x. What is the closest to x in b, 6, -2? b Let s = -4 - -1. Let b = 10 + s. What is the nearest to -1 in b, 1, -2/11? -2/11 Let y(g) = -14*g + 57. Let x be y(4). Which is the nearest to 3/2? (a) -3 (b) -1/8 (c) -4 (d) x d Let i = -57 - -57. Let m = 4.6 + -5. What is the closest to i in m, 0.2, -4? 0.2 Let t be -5 - -5 - (-57 - -3). Let o = -57 + t. Let n = 43/2 + -21. What is the nearest to n in 1/4, o, 3/2? 1/4 Let b be (-3)/(-15) - (-12)/40. What is the nearest to 0.03 in b, 0, 0.4? 0 Let n = 11 + -10.7. Let i = 0.2 - 0.212. Let t = -0.088 + i. What is the nearest to t in n, 2, -0.2? -0.2 Let q be ((-13)/(-26))/(45/10 + -4). Suppose 4*l + 32 = 3*o + o, -3 = l. Which is the closest to o? (a) q (b) -0.1 (c) 3/4 a Let k = 168 + -170. Which is the closest to -1? (a) k (b) -3/14 (c) 3/2 b Let r = -0.6 - -0.6. Let h be ((-35)/10)/(-1)*12. Let j be (1/9)/(7/h). Which is the nearest to r? (a) -0.8 (b) j (c) -0.1 c Let n = -6397.4 + 6397. Suppose 0 = 2*w - 4 - 0. Which is the nearest to -7? (a) n (b) -2/21 (c) w a Let u = 1/4 + -17/36. Let w = 0.4 - 1.4. Let g = w + 0.8. Which is the nearest to u? (a) -1 (b) 1/2 (c) g c Let v be 1 + -7 + 5 + (-1 - -192). Which is the nearest to 1/3? (a) 4 (b) v (c) -5 a Let u be (-42)/(-9) + 1 + -5. Let j = -41 + 41.5. Which is the nearest to -0.2? (a) u (b) j (c) 2/5 c Let i = -8.14 + 8. Let o = 299.86 + -296. Let g = o - i. Which is the nearest to -0.1? (a) -5 (b) 0 (c) g b Let b be (1/(-7))/((-2)/(-4)). Let g be ((-1)/18)/(-1 - (-12 + (-248)/(-24))). What is the nearest to b in -0.9, g, 3/5? g Let q = 26 + -29. Let i be -2 + (-1 - -6) + q + -2. Suppose 0 = -2*v, -3*l + 8 = 5*v + 2. Which is the closest to i? (a) -3 (b) -5 (c) l a Let f = -6 - -6.3. Let j = 293 + -292. Let l(g) = g + 5. Let u be l(-6). Which is the closest to j? (a) 1 (b) u (c) f a Suppose 0 = -4*j - p + 28483, 0 = -j + 5*p - 3*p + 7114. Let s = 49681/7 - j. Let u = -23 - s. Which is the nearest to u? (a) 0 (b) -0.1 (c) 1/3 b Let y = 56 - 56.33. Let h = y - -3.23. Let r = h - 3. Which is the nearest to r? (a) -2/13 (b) 5 (c) 3 a Let h = -2 - -2. Let m = -3.06 - -3. Let y = 2.06 + m. Which is the nearest to 0.2? (a) y (b) -2 (c) h c Let w = -1112 - -1110. Which is the closest to 1/3? (a) w (b) 1 (c) 19 b Let d = -0.0985 - 0.0015. Which is the nearest to d? (a) -3 (b) -1 (c) -2 b Let y = -527/1820 - -1/260. Let z = 1012 + -1037. What is the nearest to z in -5, -2/13, y? -5 Let j = -3 - -2. Let h = 2 + -7/3. Which is the nearest to j? (a) -5 (b) 1/4 (c) h c Let h = 1 - 0.1. Let y = 2.1 + h. What is the nearest to -2 in -5, 0.2, y? 0.2 Let c = 9 - 5. Let t(m) = -m + m - c + 2*m. Let v be t(3). What is the closest to -2/3 in v, 2/7, 0? 0 Let w be (9*10/120)/((-3)/1). Let x = 6.6 + -6. Which is the closest to w? (a) -4 (b) x (c) -1 c Let n = 0.226 + -0.113. Let k = n + -0.413. What is the closest to -2/15 in k, 1/3, -1/4? -1/4 Let q = -284/5425 - 6/217. What is the nearest to 0 in q, 4, -9? q Let v = -0.0183 - -0.2183. Suppose 2*a - a + 7 = 4*d, a = -3*d + 7. Let x = 6 - 7. What is the closest to a in x, v, -4? v Let q = 127 - 128. Let j = -0.7 + 0.7. Which is the closest to q? (a) 2/5 (b) -5 (c) j c Let w be ((-2)/(-2))/((-5)/25). Let z be w*(0 + 10/(-75)). Which is the closest to z? (a) -2 (b) -3 (c) 0 c Let x = 0.1 + -0.6. Let h = -976 + 977. Let g = -7 + 3. Which is the closest to h? (a) g (b) -1 (c) x c Let j = -1 + -4. Let g = 0.16 - -0.18. Let v = g + 0.66. Which is the nearest to 1? (a) j (b) v (c) 0.4 b Let l = -0.8 - 0.2. Let w = 634 - 5704/9. Let g = 0.8 + 2.2. What is the closest to l in 0, w, g? 0 Let g = -130 + 46. Let o = -86 - g. Which is the nearest to o? (a) 0 (b) 1 (c) 2/3 a Let m be (10/15)/(8/126). Let d = m + -10. Let f(o) = -o - 7. Let j be f(-6). What is the closest to 1 in 4, d, j? d Let i = -76 + 72. Let j = -7.09 - -0.09. Let k = -4 - j. Which is the nearest to 1? (a) k (b) i (c) -5 a Let x = -20 + 8. Let y be (-3)/((x/(-376))/(-1)). Let j = y + -278/3. Which is the nearest to -2? (a) -1 (b) j (c) 4 a Let g = -4657/14 - -333. Let s = 1049/105 - 103/10. Let q = g - s. What is the nearest to 2/5 in 2/11, q, -3? 2/11 Let f = -133.52 + 131. Let z = -0.52 - f. Let l = -0.5 + 0.4. Which is the nearest to l? (a) z (b) 2/17 (c) -2 b Suppose 0 = 3*v + 147 - 126. What is the nearest to 0.1 in -1/7, -1/3, -5, v? -1/7 Let x = -57 - -57. Let u = -124.1 + 124. Which is the closest to u? (a) -1/2 (b) x (c) 4/3 b Suppose -2*l + 18 = 4*o, -1 = -5*l + 14. Suppose -o*f - 12 = 0, 2*f = -2*g + 4*f + 12. Which is the nearest to 1? (a) -2/17 (b) g (c) -1 b Let g = 1281.7 + -1282. What is the closest to -0.1 in g, -5, -19? g Suppose -1 = -2*r + 5*w, 2*r + 3*w = -3*r - 13. What is the nearest to 0.1 in -3, r, 22? r Let g(m) = -3*m - 4. Let t be g(-3). Let d = -4023 - -36206/9. Which is the closest to 2? (a) t (b) -1/3 (c) d c Let a be (240/56)/((-6)/(-28)). Let l be (a/(-12))/(24/(-18)). What is the nearest to 0 in 2/9, l, 3? 2/9 Suppose -120*v = -125*v + 5. Let u = -0.0
{ "pile_set_name": "DM Mathematics" }
= -3643*g**2 - g - 8. Let h(p) = p. Let q be h(4). Suppose 4*o - 1 = c + 2*c, -q*c = 3*o - 32. Let r be n(o). What is r rounded to the nearest 10000? -60000 Let a = -26.5072483 - -179.5072496. Let o = -153 + a. Round o to 5 dps. 0 Let d = 56.2 + -64. Let l = d + 7.79999135. Round l to seven decimal places. -0.0000087 Let y = -289.9946 - 0.0054. Let x = -200 - y. Let j = 90.00000069 - x. Round j to 6 dps. 0.000001 Let h(m) = -53892*m + 20. Let q(a) = -53892*a + 18. Let s(k) = -5*h(k) + 6*q(k). Let r be s(-1). Round r to the nearest ten thousand. 50000 Let z = -7867.9998204 + 7868. What is z rounded to six decimal places? 0.00018 Let y = -2.6 - -122.6. Let n = y - 58. Let v = n - 62.0000031. What is v rounded to six dps? -0.000003 Let k = -13938936 - -13939134.67262. Let r = -0.76162 + k. Let u = 198 - r. Round u to 2 dps. 0.09 Let w = 7977.6 + -8013.627. Let l = -36 - w. Let j = l + 0.134. Round j to two decimal places. 0.16 Let o(f) = 2508*f**2 + 20*f + 48. Let k be o(18). What is k rounded to the nearest one hundred thousand? 800000 Let c = 1.3952 - -1667.3048. Let t = 1476 - c. Round t to the nearest ten. -190 Let q = -181 - -180.815. Let o = q + 0.432. Round o to one decimal place. 0.2 Let l(i) = 1155*i**3 - 6*i**2 - 3*i**2 + 54*i - 4 - 71*i. Let x be l(-4). Round x to the nearest 10000. -70000 Let j = -14.79994271 + 14.8. Round j to six decimal places. 0.000057 Let t(q) be the third derivative of 3035*q**4/8 - 25*q**3/3 + 161*q**2. Let l be t(10). Round l to the nearest 10000. 90000 Let v = 108.68 - 108.710355. Round v to 4 decimal places. -0.0304 Let i = -3242412360644245 + 3242412264136382.48999731. Let t = -96507867 - i. Let j = t - -4.49. Round j to six dps. 0.000003 Let y be 20529625/(-34)*(7/21 - 154/30). Round y to the nearest 10000. 2900000 Let z = -71 - 24. Let r = z - -163. Let f = r + -68.000001. Round f to 7 decimal places. -0.000001 Let m = -103.9 + 88.24. Let r = m - -1.56. Let y = -14.0999927 - r. Round y to 6 decimal places. 0.000007 Let x = 81 + -217. Let t = -135.71804 - 0.29856. Let r = x - t. Round r to 3 decimal places. 0.017 Let z = -100576 + 100575.99916873. What is z rounded to four dps? -0.0008 Let l = -231.813 + 230.6. Let o = -0.121 - l. Let n = o + -1.09659. What is n rounded to 4 decimal places? -0.0046 Let d = -3.96 - 216.04. Let c = -498843.72620364 + 499063.7262. Let m = d + c. Round m to seven decimal places. -0.0000036 Suppose -4*i = -2*q + 23122 - 87780, -q + 4*i - 32335 = 0. Let f = q - -59583. Round f to the nearest one thousand. 27000 Let n = 35.5 - -79.8. Let y = 6.7 + n. Let p = 121.999653 - y. Round p to 5 decimal places. -0.00035 Let y = 135.141 - 6486.241. What is y rounded to the nearest 100? -6400 Let v = 63 + -59. Suppose -5*b + 30 = -0*b + 5*k, -2*b = -v*k - 36. Let d be (65/b)/((-2)/(-4)) - 3. What is d rounded to the nearest 100? 0 Suppose -152945 = -0*q - 3*q + 4*i, i = -4*q + 203914. Suppose -3*n = 254121 + q. Round n to the nearest ten thousand. -100000 Let x(b) = -145871*b**2 - 23*b - 16. Let f(a) = -291741*a**2 - 47*a - 32. Let o(s) = -6*f(s) + 11*x(s). Let y be o(11). Round y to the nearest 1000000. 18000000 Let n = 149.5 + -10.5. Let m = n + -139.00004925. What is m rounded to five dps? -0.00005 Let p = 47 - 53.3. Let m = 36.3 + p. Let r = -29.9994 + m. Round r to four dps. 0.0006 Let r = 35.63131152 - 35.631. What is r rounded to 6 decimal places? 0.000312 Let w = 3244.136 + -3312. Round w to the nearest 10. -70 Let h = -12568.999276 - -12569. What is h rounded to 4 dps? 0.0007 Let b(s) = 56565*s**2 - 30*s + 80. Let c be b(4). What is c rounded to the nearest 10000? 910000 Let i = 40.625 - 216.606. Let r = i - -176. What is r rounded to 3 dps? 0.019 Let b = -452 - -300. Let p = 151.99999993 + b. What is p rounded to six dps? 0 Let c = 6748.312 - 6772. What is c rounded to 0 decimal places? -24 Let k = 1.993 - 423.293. What is k rounded to the nearest ten? -420 Let n = -0.6352276 - -0.6361. What is n rounded to five decimal places? 0.00087 Let y = -8901.68 - -9556. Round y to the nearest one hundred. 700 Let r = -848.913717 - -1077.91358. Let a = -281 - -510. Let b = a - r. Round b to 5 decimal places. 0.00014 Suppose 5*k = j - 84774312 + 378774290, -235199990 = -4*k - 3*j. Let q be (-28)/(-21) + k/3. Round q to the nearest one million. 20000000 Let v = -52452 - -52451.9999972167. What is v rounded to 6 decimal places? -0.000003 Let a = 75292.228000901 - 75292.364. Let h = a + 0.136. What is h rounded to seven decimal places? 0.0000009 Let i(r) = 11805*r - 162. Let x be i(30). Suppose -4*k - x = -3*w, 0 = 3*k - w - 0*w + 265496. What is k rounded to the nearest 1000? -89000 Let n be (9/((-18)/20))/(-2). Suppose -s + 6*s - 2*m + 29549994 = 0, -n*s - 3*m = 29550009. Round s to the nearest 100000. -5900000 Let c = 525.96 + -549.5. Let s = 37 - 60. Let u = c - s. What is u rounded to 1 dp? -0.5 Let f = -1212 + 1217. Let w(a) = -a**2 - 4*a + 7. Let o be w(-5). Suppose -2*c + 5*i = -60015, o*i = -1 - f. Round c to the nearest ten thousand. 30000 Let y = -348 - -349. Let h be ((-4848)/30)/(y/(-100000)). What is h rounded to the nearest 1000000? 16000000 Let o = -0.0083 + -56.5917. Let w = o + -2.4. Let j = w + 58.99956. What is j rounded to 4 dps? -0.0004 Let i = 5031088357.667613 - 5031078712. Let r = -9377.66761518 + i. Let w = 268 - r. What is w rounded to 6 decimal places? 0.000002 Suppose -3*z - 2*r = -6*r - 2, -12 = 3*z + 3*r. Let j(w) = 104488*w - 24. Let a be j(z). What is a rounded to the nearest 10000? -210000 Let c = 617785 + -617713.9981. Let t = 2916 + -2845. Let v = c - t. Round v to 3 decimal places. 0.002 Let p be (6/4)/((-133)/(-8557220)). What is p rounded to the nearest one thousand? 97000 Let v be 99468/5 - (-36)/90. Round v to the nearest one hundred. 19900 Let m = 167597128 + -167597116.9999921. Let y = 12.94 - 1.94. Let p = y - m. Round p to six dps. -0.000008 Let q = -45.6 + 45.5366. Let k = q + 0.0632. Round k to 4 decimal places. -0.0002 Let g = -10160 - -10162.1854. What is g rounded to two decimal places? 2.19 Let q = -127.7616 - -128. Let m = -0.0184 + q. What is m rounded to 2 dps? 0.22 Let j = -600 + 602.425. Let q = j + -3.4. Round q to two dps. -0.98 Let z = 15890509 - 15890542.5998475. Let r = z + 33.6. What is r rounded to five decimal places? 0.00015 Let d = -15.3999970239 + 15.4. What is d rounded to 7 dps? 0.000003 Let p = -0.002 + 34.002. Let q = p - -34. Let x = q - 67.9994. Round x to 4 decimal places. 0.0006 Let a = 1463.58 - -168.12. What is a rounded to the nearest one hundred? 1600 Let h = -31.7158 + -7.353. Let n = h - -39. Let d = 0.06379 + n. What is d rounded to three dps? -0.005 Let k = 126 - 126.009. Let h = k + 0.0089994. Round h to 6 dps. -0.000001 Let g = 1592.83 + -1697. Let k = 0.17 + g. Let s = 103.99999858 + k. Round s to 7 dps. -0.0000014 Let r = 79641 + -45241. Suppose -10*m + 6*m = r. What is m rounded to the nearest 1000? -9000 Suppose -14*t = 9*t - 2634742. Suppose -t - 112526 = -14*d. Round d to the nearest 100. 16200 Let g = -0.10575318 + 0.10571. Round g to six decimal places. -0.000043 Suppose -49 + 13 = -9*s. Suppose -2*t + 1 + 5 = o, -s*o - 9 = -3*t. Suppose -3 = -t*y, 8549998 = -5*d - 4*y + 2*y. What is d rounded to the nearest 100000? -1700000 Let k be 6160*3*2/15. Suppose 0 = -7*b + 6*b + 4*l + 19, 0 = l + 4. Suppose -u - 1470 = -3*q, -2*q - 3*u + k = b*q. What is q rounded to the nearest ten? 490 Let g = 10423860156 + -10423860086.00000119. Let a = -4.5 + -65.5. Let j = g + a. What is j rounded to seven decimal places? -0.0000012 Let d(l) = -2*l**2 + 9*l - 4. Let k be 56/12 - (-2)/(-3). Let n be d(k). Let f be (-180 - n)/((-39)/6500). What is f rounded to the nearest ten thousand? 30000 Suppose -4715*y = -4707*y - 458080. What is y rounded to the nearest ten thousand? 60000 Let w = -813 - 106. Let m = -918.99999561 - w. Round m to six decimal places. 0.000004 Let u(s) = -8*s - 9. Let y = -40 + 35. Let b be u(y). Suppose b + 92 = -t. Round t to the nearest 10. -120 Let w = -3807.87 - -3808. Let l = 33.09 + -28.7. Let i = w + l. What is i rounded to the nearest integer? 5 Let u be ((-33)/12 - -4) + (-1125)/20. Let k = u + 431. Round k to the nearest 100. 400 Let g = -9 - -8.35. Let n = -0.586 - g. Let d = n - 0.0640
{ "pile_set_name": "DM Mathematics" }
ultiple of 10? True Let u(a) be the second derivative of 16*a**3/3 - a**2 + 5*a. Is 6 a factor of u(1)? True Is 59504/208 + (-1)/13 a multiple of 8? False Suppose 0*s = -5*s + 15. Suppose s*k + 84 = -0*k. Let c = -12 - k. Is 6 a factor of c? False Suppose 4*a - 4*t = 444, -t + 557 = 5*a + 8. Is a a multiple of 51? False Let w be (1/((-15)/6))/(2/(-30)). Let v be (40/6)/((-2)/(-21)). Suppose -w*x + v = x. Is 5 a factor of x? True Let k = 3 - 0. Suppose -2*j - j = 2*c - 66, -j - k*c = -29. Does 8 divide j? False Suppose 0 = -u + 157 - 19. Suppose u = d + 117. Does 21 divide d? True Is 8 a factor of (-2244)/(-10) - (6/5)/3? True Is 10 a factor of 3/(-2)*40/(-10)*210? True Suppose -c + 0*c - 8 = 0. Suppose 18*w - 22*w + 88 = 0. Is w + (-2)/c*0 a multiple of 11? True Let f(x) = -x - 3. Let h be f(-7). Suppose 0 = 8*i - h*i - 12. Suppose -a + 20 = i*a. Is a a multiple of 5? True Suppose -26 = 3*u - 233. Suppose 0*x = 2*x + 2*p - 126, x = 2*p + u. Is 12 a factor of x? False Let o(v) = 4 + v**2 + 0 - 3 - 6*v. Let c be o(-6). Suppose 5*n - 45 = 3*w, -8*w + c = 4*n - 3*w. Does 6 divide n? True Suppose 5*j = -2*a + 39 + 1, 16 = 2*j - 5*a. Let g(i) = 5 - i + 12*i**3 - j + 3 + 2*i**2. Is g(1) a multiple of 6? False Suppose 5*z - 3*z + 94 = 0. Let m = z + 114. Is 47 a factor of m? False Let c = -326 + 886. Is c a multiple of 40? True Suppose -p = -0*p - 1679. Does 73 divide p? True Suppose -20*a + 21*a - 272 = 0. Suppose 2*n = g - a, -g + n + 22 = -247. Is g a multiple of 14? True Suppose 2*l - 5*a + 16 = -l, 0 = -3*a - 12. Let t = l - -52. Does 20 divide t? True Suppose 2*s = 2*d + 2*d, s = d. Suppose -3*h = -3*v - 198, s = 3*v + 3 - 0. Does 13 divide h? True Let z(p) = -p - 2. Let t be 1/((-15)/(-9) + -2). Let s be z(t). Let d(m) = 25*m**3 - 2*m + 1. Does 13 divide d(s)? False Suppose -5*w + 4*v + 35 - 4 = 0, -3*v = 12. Suppose 5*n - l + 103 = 3*l, -3*n + w*l - 60 = 0. Is 8/(3 - -1) - n a multiple of 21? False Let u be ((-4)/14)/((-1)/14). Suppose -2*v = -u*v. Suppose i - 3*i + 28 = v. Does 7 divide i? True Let w(u) = u**3 - 6*u**2 + 3*u - 6. Suppose 25 = -5*s, 0 = -0*d + 5*d - 3*s - 45. Does 2 divide w(d)? True Suppose -4*v + 1136 = 4*s, -9*s + 5*v + 260 = -8*s. Does 28 divide s? True Let p = 108 - 104. Does 12 divide ((-30)/p)/((-3)/28)? False Let l(q) = q + 1. Let g be l(-8). Let s = -4 - g. Suppose d = -s*d + 80. Is d a multiple of 7? False Let p(t) be the third derivative of t**7/2520 + t**6/720 - t**5/30 - 5*t**4/24 - t**2. Let l(n) be the second derivative of p(n). Does 27 divide l(6)? False Suppose 55 = 4*u + 3*o - 232, -69 = -u + 2*o. Suppose -u*n - 111 = -74*n. Is n a multiple of 6? False Suppose 2*h = -i - 21, -2*i + 5*i + 3*h + 72 = 0. Let f be 40/(-24)*(i + 0). Suppose -f = -16*d + 11*d. Is d a multiple of 6? False Suppose 4*x + 16 = 44. Let s = 38 - x. Is s a multiple of 26? False Let m(i) = i**3 - 16*i**2 + 8. Suppose -5*y - 3 = -23. Suppose 43 = -y*b + 107. Is 8 a factor of m(b)? True Suppose -4*u = 12 + 8. Is 13 a factor of u/20 - (1263/(-12) - -1)? True Let s = 7 - 16. Let k = 100 - 61. Let h = s + k. Is 8 a factor of h? False Suppose -2*m + 75 = -167. Suppose -5*p - m = -4*z + 33, 32 = z + 2*p. Is 22 a factor of z? False Suppose 5*f + 19 = 4. Let a = f - -7. Suppose 5*j - 146 = 3*w + 128, a*j + 4*w - 232 = 0. Is 14 a factor of j? True Suppose 3*z = 680 + 6712. Is z a multiple of 16? True Let q = -170 + 1913. Is 7 a factor of q? True Let b(o) = o**2 - 2 + 72*o - 67*o + o**2. Is b(-6) a multiple of 20? True Suppose 5*w = -4*s + 11323, 0*w + 9048 = 4*w - 2*s. Is w a multiple of 8? False Is 9 a factor of 1 + -1 - -2*(-9)/(-2)? True Let p(d) = 15*d - 8. Let k be p(2). Is -5 + (2 + 0)*k a multiple of 6? False Let f(j) = j**3 + 5*j**2 - 3*j + 4. Suppose 0 = u + 3*u + 12, 2*u = -2*o - 16. Let v be f(o). Let z = v + 5. Is 8 a factor of z? True Suppose 0 = 4*w - f - 260, -4*w + 322 = w - 2*f. Suppose -4*o - 18 = -4*u + 42, -2*o = 4*u - w. Let z = u - 10. Is 6 a factor of z? True Suppose 0 = 3*l + 2*l + 10. Let c be (l/(-5))/(7/735). Suppose 5 = o, -3*q + c + 33 = -3*o. Is 10 a factor of q? True Suppose j - 2*d = 3*j + 6, -4*j - 2 = 2*d. Suppose 0*r + 5*r = 4*s + 75, -5*r - j*s + 75 = 0. Is r a multiple of 5? True Let k(x) = x + 0*x**3 + 5*x**3 - 2*x**3 - 2*x**2 - 4*x**3 - 1. Let m be k(-3). Suppose 0 = 2*f - 0*a - 3*a - 24, -m*a = 4*f - 4. Does 3 divide f? True Suppose -5*c = 3*h - 205, 41 = c - 3*h + h. Is (c - 2) + 20/(-4) + 2 a multiple of 19? False Suppose 13*q + 488 - 2789 = 0. Suppose -j - 3*d + q = 0, -2*j - 105 = -d - 459. Is 20 a factor of j? False Let a(w) = w**3 + 25*w**2 + 4*w - 150. Is 51 a factor of a(-23)? True Suppose 0*n + 5*w = 3*n + 50, -6 = 3*w. Let o be (-24)/n*40/12. Suppose 165 = o*u + 5*l, 4*u - 5*l + 25 = 180. Is 8 a factor of u? True Suppose -29*s + 69*s - 29280 = 0. Is 13 a factor of s? False Let k(s) = -11*s**3 + 8 - 3 + 9 + 8*s**2 + 12*s**3 - 3*s. Is k(-6) a multiple of 12? False Suppose -2*b - 22 = -3*k, -5*k + 2*k = 4*b + 8. Suppose -109 = -3*l - 4*u, -1 = -5*u + k. Let v = l + -17. Is v a multiple of 12? False Suppose f + 5*f - 2046 = 0. Suppose k - 218 = -2*m, f = 3*m + k + 4*k. Let c = -47 + m. Is c a multiple of 30? True Let n(o) = -29*o - 33. Is n(-7) a multiple of 30? False Suppose 40*o = 44*o - 28. Suppose 0 = o*s + 3*s - 260. Is 13 a factor of s? True Is 5 a factor of (-1 + 0 - 2)*(-87)/9? False Suppose -16 = 2*s - 6*s. Suppose -108 = -2*n - s. Does 19 divide n? False Let z(h) = 2*h**3 - 4*h**3 + h**2 - h - 1 - 4*h**3. Let b be z(-1). Suppose 2*l - b*l = -270. Is 14 a factor of l? False Let t(l) = -l**3 + 9*l**2 - 8*l + 3. Let n be t(8). Suppose 4*y = -n*w + 146, 3*y - 2*y = 4*w - 201. Let r = w + -35. Is 11 a factor of r? False Let h(v) = 6*v + 3. Let c(l) = -l - 4. Let x be c(-6). Suppose g = 5*g + x*w - 44, 28 = 3*g - w. Is 21 a factor of h(g)? True Let g(w) = -7*w**3 + 2*w**2 - 5. Is g(-2) a multiple of 13? False Let f(h) = 2*h**3 - 2*h**2 + 4*h + 4. Suppose 86*i = 85*i + 4. Is 11 a factor of f(i)? False Let x(k) = k**2 + 11*k - 83. Is 37 a factor of x(-24)? False Let o = 90 + -59. Suppose -2*a - o = -3*a. Suppose 0 = 4*g - 167 + a. Is 8 a factor of g? False Let g = 7 + 4. Let o = g - -10. Suppose -5*f + o = -4*f. Does 6 divide f? False Let o(y) = y**2 + 10*y + 16. Let m be o(-8). Let c(z) = z + z**2 + m*z + 10 - 3*z. Is 15 a factor of c(7)? True Suppose 4*x - 9 = 15. Suppose 2*j + 13 = -a + j, 5*a = 2*j - 44. Does 20 divide x/(-2) + (-750)/a? False Let m be -1 - (26 - (-1 + 1)). Let j be 3 - m/(4 - 1). Let p = -3 + j. Is 9 a factor of p? True Let y = 2118 + -838. Is y a multiple of 20? True Is (2/(-4))/(15/(-106560)) a multiple of 111? True Let w(g) = g**3 - 4*g**2 - 7*g + 6. Let c be w(5). Let k = -22 - c. Is 26/(-4)*k/3 a multiple of 29? False Let v be (-25)/(-6) - (-4)/(-24). Let a(w) = 2*w**2 - 4*w + 2. Let b be a(v). Is 26 a factor of 244/6 - b/27? False Let b(a) = 0*a + 29 - 20 - a. Let h be b(4). Suppose 4*r - 128 = -k, k = -h*r + 188 - 27. Is r a multiple of 19? False Let l be 2/(-4)*(1 - 13). Suppose -5*t - 5*p + 115 = 0, p - 101 = -4*t + l. Suppose -5*g - 40 = -5*s + 4*s, -s = g - t. Does 15 divide s? True Suppose -3*s - 4*o + 16008 = 0, -2*s - 3346 = o - 14023. Is 41 a factor of s? False Suppose 5*a - x - 140 = -0*x, -120 = -5*a - 3*x. Suppose -k - a = -163. Is k a multiple of 22? False Let r(w) = w + 8. Let j be r(-4). Suppose 5*o - 2 = -0*z - 3*z, -2*z + j*o = -16. Suppose -z*t = -35 - 37. Does 18 divide t? True Suppose 3*l - 9 = -3*p, 7*l - 5*l = 0. Suppose -3*t = -0*t - 4*r - 168, -5*r - 171 = -p*t. Does 14 divide t? False Let t be 16/(-8) + 3*2. Suppose 4*m + y = 201, -60 - 94 = -3*m - t*y. Is m a multiple of 25? True Suppose -3*q = -5*y + 98, -y + 22 = 3*q + 6. Does 16 divide 1/3*(y - -29)? True Let l = -579 + 746. Is l a multiple of 3? False Let p(o) = -43*o**2 - 4*o - 3. Let n be p(-2). Let m = 250 + n. Does 14 divide m? False Let h(y) = -y**3 - 7*y**2 - 5*y - 22. Let t = -5 - 2. Does 13 divide h(t)? True Let v be (-8)/12 + (-4)/((-36)/303). Let x = 19 + v. Is 35 a factor of x? False Let z(c) = c**3 + 6*c**2 + 2*c + 5. Let g be z(-6). Let f = -5 - g. Is (7 + -39)*(-1)/f a multiple of 16? True Suppose -5*g = a + 12, 4*g - 2*g + 2*a = 0. Let n be 4/g + 200/24. Suppose n*m = 2*m + 9
{ "pile_set_name": "DM Mathematics" }
2*o = r - 9. Calculate o*g(j) + 221*f(j). -34*j**2 Let f(s) = -40 - 35 + s**2 + s + 149 - 35 - 40. Let y(g) be the second derivative of g**2 - 1/12*g**4 + 2*g - 1/20*g**5 + 0 - 1/2*g**3. Give f(c) + y(c). -c**3 - 2*c + 1 Let o(j) = 16*j - 7. Let v(y) = 6*y - 11*y - 18*y + 52*y - 5*y - 10. Give 7*o(b) - 5*v(b). -8*b + 1 Let q be 14 - (-12 - -15 - -9). Let n(f) = -3*f - 3. Let g(x) = -2*x + 2 - x**2 + 3*x + 1 - 2. What is q*g(p) + n(p)? -2*p**2 - p - 1 Let h(x) = -x. Let t = -253 - -265. Let k(c) = -2*c + 15. Let g be k(t). Let s(v) = 5*v. What is g*h(d) - 2*s(d)? -d Let t = 48 - 73. Let r(u) = -35*u. Let f(z) be the second derivative of z**3/2 - 3*z + 299. Determine t*f(i) - 2*r(i). -5*i Let f(m) = -14*m**3 - 6*m**2 - 6*m + 6. Let j = -396 - -399. Let i(p) = -14*p**2 + 23*p**2 - p**3 - j*p + 2*p + 1 - 10*p**2. Determine f(z) - 6*i(z). -8*z**3 Let l(b) be the first derivative of b**4/4 - 2*b**3/3 + b**2 + 4*b - 1996. Let z(d) = -3*d**3 + 7*d**2 - 6*d - 11. What is 7*l(m) + 2*z(m)? m**3 + 2*m + 6 Let a(x) = -88*x**2 - 11*x - 12. Let q(k) = -176*k**2 - 23*k - 27. Give -9*a(c) + 4*q(c). 88*c**2 + 7*c Let j(c) = 59065*c + 35. Let d(y) = 9830*y + 6. Calculate -35*d(s) + 6*j(s). 10340*s Let t(h) = -67*h**2 - 8*h - 10. Let r(y) = 669*y**2 + 78*y + 99. What is -4*r(a) - 39*t(a)? -63*a**2 - 6 Let b(c) = -4*c**3 + 2*c**2 - 3. Suppose -51*k = 449 - 92. Let s(o) = -o**3 + o**2 - 1. Give k*s(u) + 2*b(u). -u**3 - 3*u**2 + 1 Let i(t) = -4*t**2 - 275*t + 78. Let m(p) = p**2 + p - 13. Determine -i(x) - 6*m(x). -2*x**2 + 269*x Let f(u) = 12*u**3 + 160*u**2 - 10. Let s(d) = -6*d**3 - 80*d**2 + 6. Determine -3*f(r) - 5*s(r). -6*r**3 - 80*r**2 Let n(j) = j**2 + 20*j + 74. Let i be n(-7). Let o(z) = -12*z + 20. Let p(h) = -4*h + 7. Give i*p(s) + 6*o(s). -4*s + 1 Let j(d) = 3*d + 3. Let y(o) = -o - 1. Suppose 0 = 9*s - 17 - 10. Suppose 757 = -10*b - s. Let l be 134/(-26) - b/494. Give l*y(k) - 2*j(k). -k - 1 Let k(z) = -88*z**3 + 16*z**2 - 32*z - 418. Let w(i) = -50*i**3 + 9*i**2 - 18*i - 239. Give 9*k(a) - 16*w(a). 8*a**3 + 62 Let l(f) = -3. Let g = -87 - -92. Suppose 5*a - 14*m - 5 = -16*m, a - g*m = 1. Let q(v) = v - 1. Give a*q(k) + l(k). k - 4 Let x(b) = -2*b**2 + 5*b + 574. Let r(d) = 6*d**2 - 14*d - 1719. Calculate 6*r(k) + 17*x(k). 2*k**2 + k - 556 Suppose -42 = -220*s + 199*s. Let r(h) = 15*h + 33. Let w(i) = -i - 2. What is s*r(z) + 33*w(z)? -3*z Let d(i) = 2*i**3 + i**2 + 7. Let y(l) = 14*l**3 + 6*l**2 - 255. Calculate -6*d(k) + y(k). 2*k**3 - 297 Let m(i) = 2*i + 3. Let z be m(-3). Let d(v) = -516*v + 27. Let u(n) = -1239*n + 68. Let p(j) = -12*d(j) + 5*u(j). Let s(h) = h - 5. Determine z*p(t) - 8*s(t). t - 8 Let r(a) = 4*a**2 + 174*a - 1. Let b(d) = -13*d**2 - 519*d + 4. Determine -3*b(s) - 10*r(s). -s**2 - 183*s - 2 Let x(a) = 18*a**3 - 565. Let f(z) = 6*z**3 - 189. What is -7*f(o) + 2*x(o)? -6*o**3 + 193 Let u(a) = 44*a**2 + 67*a - 29. Let x(j) = -20*j**2 - 34*j + 14. Determine -6*u(k) - 13*x(k). -4*k**2 + 40*k - 8 Let z(f) = -17*f**3 + 2*f**2 - 13*f. Let g = 91 - 250. Let n = -168 - g. Let h(q) = -8*q**3 + q**2 - 6*q. What is n*h(w) + 4*z(w)? 4*w**3 - w**2 + 2*w Let v(k) = 6*k**3 - 11*k**2 + k - 16. Let x(a) = 3 + 5*a + 60*a - a**3 + 2*a**2 - 127*a + 62*a. What is 4*v(n) + 22*x(n)? 2*n**3 + 4*n + 2 Let h(f) = f**2 - 5*f - 2. Let z(n) = 10928*n**2 - 40980*n - 16392. What is 8196*h(u) - z(u)? -2732*u**2 Let k(t) = -2*t - 238 + 436 - 205. Let l(d) = 1 - 10*d + 2*d + 7*d - 7. What is -3*k(a) + 4*l(a)? 2*a - 3 Let o(x) = -x**3 + 5*x**2 + 11*x - 4. Let p(s) = 2*s**3 - 8*s**2 - 17*s + 6. Suppose v = 16*v + 720. Let l be 30/(-36) - 172*(-2)/v. What is l*o(q) - 5*p(q)? -2*q**3 - 3*q + 2 Let c(y) = -16*y**2 + 5*y - 4. Let k(s) = 32*s**2 - 9*s + 7. Let n(j) = j**3 + 41*j**2 + 73*j - 192. Let f be n(-39). Calculate f*k(d) + 5*c(d). 16*d**2 - 2*d + 1 Let l(j) = -7*j - 12. Let c(h) = -24*h + 1182. Let y(p) = p - 39. Let o(m) = -c(m) - 30*y(m). Calculate -2*l(w) + 3*o(w). -4*w - 12 Let a(f) = 98*f - 25. Let n(d) = 491*d - 125. What is -11*a(u) + 2*n(u)? -96*u + 25 Let s(z) = 13*z**3 - 12*z**3 - 2*z**2 + 35*z + 37*z**2 + 35 + 4*z**3. Let n(k) = k**2 + k + 1. Determine -105*n(o) + 3*s(o). 15*o**3 Let i = 128 - 134. Let c(l) = 3*l - 1. Let z(m) = 13*m - 5. Let y(r) = 9*c(r) - 2*z(r). Let p(o) = 5*o + 1. Give i*y(b) + p(b). -b - 5 Let m(s) = -6*s. Let n(v) = 18*v. Let w(y) = y**2 - 15*y + 6. Let d be w(0). Give d*n(u) + 17*m(u). 6*u Let s(r) = -r. Let i(y) = 7*y - 4. Let o(u) = 14*u - 4. Let d(t) = i(t) - o(t). Suppose -h + 21 - 3 = 0. Determine h*s(b) - 2*d(b). -4*b Suppose -u - 24 = 6. Let h(c) = 1 - 4 - 1 + 1 + 2. Let i(b) be the third derivative of -b**4/24 - b**3 - 4*b**2 - 21*b. What is u*h(a) + 5*i(a)? -5*a Let d(p) = -1218*p. Let q(z) = -41400*z. Give -138*d(l) + 4*q(l). 2484*l Let w(p) = -539*p - 91. Let f be (2/(-4))/((-43)/(-516)). Let x(k) = -18*k - 3. Determine f*w(u) + 182*x(u). -42*u Let s(w) = -81*w**3 + 7*w**2 - 10*w. Let i(j) = -163*j**3 + 18*j**2 - 24*j. Give 4*i(q) - 10*s(q). 158*q**3 + 2*q**2 + 4*q Let q(d) = 4*d**3 + 56*d - 4. Let m(s) = 17*s**3 - s**2 + 223*s - 17. Give 2*m(b) - 9*q(b). -2*b**3 - 2*b**2 - 58*b + 2 Let n(r) = 11*r**3 + 4. Let v(m) = 98*m**3 + 35. Let h = 24418 + -24383. Determine h*n(z) - 4*v(z). -7*z**3 Let k(z) be the third derivative of -25*z**4/24 + 5*z**3/2 + 4*z**2. Let m(g) = -g + 1. Determine k(x) - 15*m(x). -10*x Let i(o) = 120*o + 32. Suppose -55*l = -1210 - 303 - 247. Let x(g) = 11*g + 3. Give l*x(w) - 3*i(w). -8*w Let p(v) = 32*v - 8. Let b(t) = 2*t. Let y(i) = -14*b(i) + p(i). Let d(x) = -x + 3. Calculate 7*d(j) + 2*y(j). j + 5 Suppose 836*r + 2030 = -189*r - 1005*r. Let q(n) = n**3 - n**2 - 2*n - 2. Let s(a) be the first derivative of -a**3/3 + a**2/2 + a + 1. What is r*q(o) - 2*s(o)? -o**3 + 3*o**2 Let a(q) = -6*q + 2. Suppose -18*w + 2784 = 156*w. Let s(x) = -30*x + 10. Give w*a(g) - 3*s(g). -6*g + 2 Let m(r) = -142600*r**3 - 248*r**2 + 496*r. Let x(l) = 2881*l**3 + 5*l**2 - 10*l. What is -5*m(g) - 248*x(g)? -1488*g**3 Let d = -5 - 5. Let f(i) = 2*i**2 + 5*i - 5. Let r(p) be the first derivative of -82 - p + 1/2*p**2. What is d*r(b) + 2*f(b)? 4*b**2 Let k(v) = -3*v - 9. Let o = 5/604 + 589/1812. Let h(d) be the second derivative of -o*d**3 + 0 + 11*d - 5/2*d**2. What is 7*h(l) - 4*k(l)? -2*l + 1 Let s(b) = 11*b + 226. Let j(w) = 2*w - 2. What is -10*j(u) + 2*s(u)? 2*u + 472 Let y(p) = 18*p**3 + 27*p**2 + 80*p - 3. Let m(d) = 6*d**3 + 9*d**2 + 30*d - 1. Calculate 8*m(n) - 3*y(n). -6*n**3 - 9*n**2 + 1 Let v(o) = 22. Let w(q) = -37. Let i(n) = 5*v(n) + 3*w(n). Let g = -22 + 21. Let d(h) = 2*h + 3. Determine g*d(c) - 5*i(c). -2*c + 2 Let j(d) = 39546749*d - 39408. Let a(n) = -9031*n + 9. Calculate -13136*a(k) - 3*j(k). -9031*k Let x(b) = 99*b**2 - 140*b - 6. Let l(m) = -35*m**2 + 46*m + 2. What is -11*l(j) - 4*x(j)? -11*j**2 + 54*j + 2 Let y(r) = -3*r + 7. Let b(k) be the third derivative of -7*k**4/24 + 7*k**3/3 + 979*k**2. What is 4*b(j) - 9*y(j)? -j - 7 Let g(x) = -5 - 1 + 4 - x**2 + 6 - 5. Let b(c) = c**3 + 7*c**2 - c - 6. Let a be b(-7). Let r(q) = a - 6 - 4*q**2 + 0 + 0. Calculate 9*g(s) - 2*r(s). -s**2 + 1 Let h(t) = -54*t - 59. Let r(s) = 209*s + 235. Give -23*h(x) - 6*r(x). -12*x - 53 Let u(c) = -123*c**2 - 89*c. Let b(v) = -121*v**2 - 106*v. Determine 5*b(r) - 6*u(r). 133*r**2 + 4*r Let l(b) = 20*b - 2. Let k(n) = 87*n - 539. Calculate k(r) - 4*l(r). 7*r - 531 Let s(f) = f**2 + 3. Let r(m) = 225*m**2 - 23. Calculate -r(b) - 6*s(b). -231*b**2 + 5 Let a(y) = 6*y + 2. Let d(i) = -17*i - 5. Suppose -30*k + 68 + 52 = 0. Let f(p) = k*d(p) + 11*a(p). Let z = 7 + -2. Let u(b) = 3*b - 3. What is z*u(r) + 8*f(r)? -r + 1 Let g(d) be the second derivative of d**3/6 - d. Let c(t) = 26 - 5*t + 21 + 27 + 16 - 90. Give 2*c(o) + 9*g(o). -o Let z be -3*(1*-4 + 3)/1. Let w(h) = h**2 - 2*h + 1. Let x(d) = 2*d**2 - 3*d + 2. Let q(b) = 3*w(b) - 2*x(b). Let o(v) = -5*v**2 + 5*v - 3. Give z*q(a) - o(a). 2*a**2 - 5*a Let r(t) = 33*t - 7. Let o(j) = -4*j + 1. Let y(m) = 6*o(m) + r(m). Let s(z) = 7*z. Let n(p) = -4*s(p) + 3*y(p). Let a(h) = h + 2. What is -4*a(u) - 3*n(u)? -u + 1 Let g(x) = 942 - 21*x**2 + 11*x - 19*x**2 - 953. Let y(o) = -8*o**2 + 2*o - 2. Calculate 2*g(r) - 11*y(r). 8*r**2 Let t(z) = -z**3 - z - 1. Let s(c) = -3*c
{ "pile_set_name": "DM Mathematics" }
**3 - u + 35 wrt k. -33*k**2 Let k(q) be the third derivative of -q**7/210 + 7*q**6/40 + 11*q**4/8 + 62*q**2. Find the second derivative of k(m) wrt m. -12*m**2 + 126*m Let x(r) be the first derivative of -20/3*r**3 + 0*r**6 - 4 + 0*r**2 + 0*r**4 - 8/7*r**7 + 0*r + 0*r**5. Find the third derivative of x(j) wrt j. -960*j**3 What is the derivative of 158888 - u**3 - 158108 - 13*u**2 - 2*u**3 wrt u? -9*u**2 - 26*u Let b(r) be the third derivative of 8*r**7/21 - 47*r**3/6 + 10*r**2. What is the first derivative of b(s) wrt s? 320*s**3 Let j(x) = 298*x**3 + 34*x**2 + 17*x + 451. Let f(c) = -99*c**3 - 12*c**2 - 6*c - 150. Let t(d) = 17*f(d) + 6*j(d). Differentiate t(i) wrt i. 315*i**2 Let y(g) = 3*g**3 + 28 - 26 - 2*g**3 - 3*g**2 - 4*g. Let k be y(4). What is the derivative of -14 - 5*n**k - 2*n**2 + 4*n**2 wrt n? -6*n Let n(h) be the second derivative of h**8/420 - 2*h**6/45 - 4*h**3 + 10*h. Let a(f) be the second derivative of n(f). Find the third derivative of a(b) wrt b. 96*b Find the third derivative of -23*h**2 - 18*h**5 + 8*h**5 - 2*h**6 + 11*h**5 - 41*h**2 wrt h. -240*h**3 + 60*h**2 Suppose -2*k + 5 = 1. What is the third derivative of -10*j**k - 85 + 85 + 12*j**3 wrt j? 72 Let s(k) be the first derivative of 0*k + k**5 + 5/3*k**3 + 0*k**2 + 0*k**4 - 11. What is the third derivative of s(a) wrt a? 120*a What is the third derivative of 111 - 3113*i**2 + 71 + 2*i**4 + 3114*i**2 - 4*i**3 wrt i? 48*i - 24 Suppose 0*f + 2*b = 3*f - 3, -2*b + 21 = 5*f. Suppose -10 + 2 = -2*y. What is the second derivative of f*c**5 + 12*c**y + 5*c - 12*c**4 + 0*c wrt c? 60*c**3 Suppose 3*g - 7 = -1. Differentiate 17 + 24 + g + 38*a + 6 with respect to a. 38 Let d(i) be the third derivative of 45*i**2 + 0 - 11/6*i**3 + 0*i + 41/24*i**4. Differentiate d(s) wrt s. 41 Let g(l) be the third derivative of l**4 + 11/40*l**6 + 0*l**5 - 15*l**2 + 0 + 0*l**3 + 0*l. Find the second derivative of g(u) wrt u. 198*u What is the first derivative of -45 + 81 + 225*g + 174*g + 200 wrt g? 399 Let d = 32 + -26. Let h(p) be the second derivative of 1/2*p**2 - 1/15*p**d + 0*p**5 + 0*p**4 + 0*p**3 + p + 0. Find the first derivative of h(n) wrt n. -8*n**3 Let m(o) be the second derivative of 319*o**3/6 - 153*o**2 - 433*o. Differentiate m(b) wrt b. 319 Let s(k) = -k**2 + 4*k + 5. Let c be s(3). Let a = 15 - c. What is the derivative of 3*q**2 + 0 - 3*q**3 - 3*q**2 - a wrt q? -9*q**2 Let o(x) = -x**2 + 13*x - 20. Let i be o(11). What is the third derivative of -65 + 6*c**5 + 65 + 11*c**i wrt c? 360*c**2 Let d = 1 + 7. Differentiate 1 + 2*t**4 - d*t**4 + 1 - 12 wrt t. -24*t**3 Let s = 6 + -1. Suppose -m = -s + 1. What is the third derivative of -2*y**2 + 6*y**m + 4*y**2 + 0*y**4 + 3*y**2 wrt y? 144*y Let g = -16 - -28. Suppose 5*o = o + g. Find the second derivative of 8*a + a**3 - 12*a + 7*a**o wrt a. 48*a Let l(g) = -4*g + 14. Let t(x) = -3*x + 14. Let u(y) = -2*l(y) + 3*t(y). Let c be u(10). Differentiate 4 - 6 - 2 - c*p with respect to p. -4 What is the third derivative of -26*z**4 - 20*z**4 + 35*z**4 + 6*z**3 - 3*z**3 - 105*z**2 wrt z? -264*z + 18 Let p be (-12)/(-9) + (-4)/(-6). What is the third derivative of -27*c**4 + 21*c**2 + 31*c**2 - 5*c**p wrt c? -648*c Let n(j) be the first derivative of -9*j**5/5 + 13*j**3/3 - 7*j - 18. Let z(g) be the first derivative of n(g). What is the second derivative of z(b) wrt b? -216*b Let g(y) be the first derivative of y**5/12 - 11*y**4/24 - y**2 - 2. Let s(p) be the second derivative of g(p). What is the second derivative of s(j) wrt j? 10 Let k(p) = -11*p**3 + 57*p**2 + 2*p + 5. Let o(f) = -f**2 - f - 2. Let w(s) = -k(s) - 2*o(s). Find the third derivative of w(v) wrt v. 66 Let o(c) = c**3 + 24*c**2 - 51*c + 28. Let l be o(-26). What is the second derivative of 5*d**3 + d**l + 10*d + 14*d - d**2 wrt d? 30*d What is the second derivative of -3*d - 206 - d + 22*d**4 + 209 + d**2 wrt d? 264*d**2 + 2 Let c(y) be the second derivative of -y**6/30 - 27*y**5/20 + 595*y**4/12 + y + 51. What is the third derivative of c(j) wrt j? -24*j - 162 Let f(u) be the first derivative of 6*u**3 - 4*u**3 + 13*u + 7 - 3*u**3. Differentiate f(s) wrt s. -6*s Let v(b) = b**3 - 4*b**2 + 5*b - 2. Let j be v(3). Suppose j*h - 38 = 6. Find the second derivative of -11*g**4 - 24 + h*g + 24 wrt g. -132*g**2 Let w = -31 - -23. Let d = w + 8. Find the third derivative of d*o**2 + 3*o**2 - 7*o**2 + 5*o**4 wrt o. 120*o Suppose 6*y - y + 2*r - 779 = 0, -5*y = -5*r - 800. Find the second derivative of -y + 2*b**2 - 12*b**2 + 3*b + 157 wrt b. -20 Suppose -3*w - g = -10, 12*w + 2*g = 8*w + 14. What is the third derivative of 3 - 31*n**4 + 24*n**2 - w - 3*n**4 wrt n? -816*n Let g(r) be the third derivative of 21*r**6/40 - 68*r**3/3 - 527*r**2. What is the derivative of g(k) wrt k? 189*k**2 Let l(g) be the first derivative of 0*g**3 + 0*g**4 - 26 + 0*g**2 + 7/5*g**5 + 35*g. What is the first derivative of l(t) wrt t? 28*t**3 What is the third derivative of 168*i - 86*i**3 - 167*i + 18*i**2 - 101*i**3 wrt i? -1122 What is the third derivative of -8*k**6 + 634400*k**5 + k**2 - 6*k - 634400*k**5 - 3*k**3 wrt k? -960*k**3 - 18 Suppose 3*z - 5*z - c + 12 = 0, -z - 8 = 4*c. Let v = z - 6. What is the third derivative of 4*k**v - 2*k**4 + 2*k**4 + k**4 wrt k? 24*k Let q(h) be the second derivative of 0*h**6 + 0*h**2 + 0*h**3 - 8*h + 0*h**5 - 1/3*h**4 - 2/21*h**7 + 0. Find the third derivative of q(n) wrt n. -240*n**2 Let o(u) = -2*u**3 - 3*u**2 + u + 1. Let a be o(-2). Find the second derivative of 3255*c + a*c**4 - 44*c**4 - 3282*c wrt c. -492*c**2 Let a(p) = -27*p**2 + 28*p + 9. Let j(g) = -14*g**2 + 14*g + 4. Suppose 8*z = 4 - 76. Let v(y) = z*j(y) + 4*a(y). Find the second derivative of v(t) wrt t. 36 Let d(z) = 340*z - 200. Let n(g) = g. Let a(p) = -d(p) + 20*n(p). Differentiate a(h) wrt h. -320 Let g(h) = -3*h + 18. Let p be g(5). Find the first derivative of -22 - p + 11*m - 4 wrt m. 11 Let p(k) = 6 - k**4 + 8 - 2*k**2 - 5*k**2 + 19*k**4. Let t(l) = -9*l**4 + 3*l**2 - 7. Let w(x) = -3*p(x) - 7*t(x). Differentiate w(c) with respect to c. 36*c**3 Suppose 16*d - 4 = 15*d. Find the second derivative of 28*a**d + 3*a**4 + 0*a - 26*a wrt a. 372*a**2 Let i(w) = -2*w + 34. Let v be i(16). Let c(u) be the second derivative of 0 - v*u + 1/4*u**4 + 0*u**2 + 1/2*u**3. What is the second derivative of c(b) wrt b? 6 Let x(g) be the second derivative of -33*g**4/4 + 137*g**2/2 + 29*g. What is the derivative of x(k) wrt k? -198*k Let y(s) = 221*s - 39. Let b(p) = -p + 2. Let a(c) = 78*b(c) + y(c). Differentiate a(v) with respect to v. 143 Let m be (4*9/(-30))/((-2)/5). What is the first derivative of -30*a**m + 4*a**3 - 2*a**3 + 0*a**3 - 26 wrt a? -84*a**2 Let n(d) = 13*d**3 + 20*d**2 + 100*d + 856. Let x(b) = -6*b**3 - 8*b**2 - 50*b - 427. Let w(f) = -2*n(f) - 5*x(f). Find the first derivative of w(v) wrt v. 12*v**2 + 50 Let t(x) = x**2 + 3*x + 3. Let y be t(-4). Let p = 12 - y. Find the second derivative of -4*n**p + 10*n**5 - 5*n + n - 3*n wrt n. 120*n**3 Let x(t) = t**3 + 4*t**2 - 12*t + 3. Let o be x(-6). Suppose 0*z + o*z + 7 = -u, 5 = u - z. What is the third derivative of d - d**u + d - 2*d + 4*d**3 wrt d? 24 Let h(z) be the second derivative of z**9/2160 - 7*z**5/40 + z**4/6 - 9*z. Let g(j) be the third derivative of h(j). Find the first derivative of g(q) wrt q. 28*q**3 Let f(u) be the second derivative of -21*u**5/5 + 8*u**2 + 23*u. What is the first derivative of f(g) wrt g? -252*g**2 Let a(h) be the first derivative of h**7/28 + h**5/6 - 32*h**3/3 - 28. Let z(s) be the third derivative of a(s). What is the second derivative of z(i) wrt i? 180*i Let i(m) = m - 2. Suppose -3*b + 30 = -0*b. Let g be i(b). Find the second derivative of 2*o + 2*o + 3*o**2 - g*o + 3*o wrt o. 6 Let p(t) = 4*t + 11. Let a(o) = 2*o + o - 2*o. Suppose 18*f = 24*f - 30. Let n(h) = f*a(h) + p(h). What is the derivative of n(i) wrt i? 9 Let b = 1213 + -1210. Let h(w) be the third derivative of w**2 + 0 + 0*w**5 + 0*w**4 + 0*w - 2/3*w**b - 1/15*w**6. Differentiate h(a) wrt a. -24*a**2 Let p(u) be the first derivative of u**4/4 - 59*u**3/3 + 46*u**2 + 42. What is the second derivative of p(q) wrt q? 6*q - 118 Let y(s) be the second derivative of s**8/48 + 4*s**5/15 - s**2 + 14*s. Let h(u) be the first derivative
{ "pile_set_name": "DM Mathematics" }
*s - r = 3*s for s. -4 Let d = -515 - -515. Solve d = -2*c - 51 + 59 for c. 4 Let u be 82/14 + (-6)/(-42). Solve 21 = 13*k - u*k for k. 3 Let r(n) = n**3 - 21*n**2 - 99*n - 15. Let o be r(25). Solve 7 - o = 3*m for m. -1 Suppose 2*f + 4*d + 14 = 0, -4*d + 2 = -f - d. Let g(o) = -o + 4. Let t be g(0). Let n be (t/1)/(f/(-5)). Solve -n*i = -7*i for i. 0 Let p(l) = -l**3 - 4*l**2 + 3*l - 6. Let t(n) = 4*n**3 + n. Let f be t(-1). Let b be p(f). Let d = -66 + 73. Solve -b*z - 13 - d = 0 for z. -5 Let o be 9 - (4 + (7 - 6)). Solve 5*k = 4*k + o for k. 4 Suppose 2*a - 10 = -3*r, -r - 8*a + 7*a = -3. Solve 13*i - 14*i - r = 0 for i. -4 Let q(r) = -r**3 + 4*r**2 + 1. Let m be q(3). Suppose -5*w = -5*u + 2*u - m, -u = 5*w - 30. Suppose 0 = -u*h - 5*s + s, -5*h = 5*s. Solve -b + 0 + 5 = h for b. 5 Let d be 7/77 + 42/22. Solve -4*v - d = -18 for v. 4 Suppose 5*d - 11 = 2*j - 49, -d - 40 = -4*j. Let k = -693 + 699. Let m = j - k. Solve -3*v = -4*v - m for v. -3 Let h(x) = 5*x - x + 2 - 3*x - 3*x. Let j be h(-8). Suppose -74 = -4*s - j. Solve -s = -5*b + 6 for b. 4 Let n = -4 + 10. Suppose -f = -5*f + 2*o + 100, 0 = o + 2. Let y be (-63)/28*5/((-45)/f). Solve n + y = -4*l for l. -3 Let i be -16 - -19 - (-14 - 1). Suppose 2*k - k - i = 4*l, 3*l = -k - 10. Solve k*w + 4 = -6 for w. -5 Let i(z) = -3*z - 23. Let s be i(-9). Suppose 0 = s*w - 20, 3*w - 15 = -2*h + 12. Solve -h = -2*a + 4 for a. 5 Let x = 303 + -292. Solve -18 = -7*c - x for c. 1 Suppose 5*b + 5 = 10. Let p be 8/4 + 1 - -5. Suppose -4*j = -4 - p. Solve j + b = -x for x. -4 Let k be (12/8)/((-6)/8). Let t be (-7 - k) + 3 - 17. Let n = -17 - t. Solve n = y - 1 for y. 3 Let i(h) = -h**2 - 19*h - 58. Let k be i(-15). Solve k*m = 8*m + 18 for m. -3 Let g be (-94)/(-18) - 2/9. Let z(y) = y**3 + 3 - 2*y + 15*y - 8*y - 6*y**2. Let s be z(g). Solve s*k - 2 = -5 for k. -1 Let j(y) = y**2 + 16. Let o be j(7). Solve o - 73 = -2*g for g. 4 Let s = -384 + 387. Solve -s*n + 8*n = 20 for n. 4 Let x(r) = -4*r**2 - r. Let o(q) = 19*q + 24*q + 3*q**2 - 42*q. Let j(p) = -3*o(p) - 2*x(p). Let i be j(0). Solve i = -l - 4 + 2 for l. -2 Suppose 80 = 179*q - 169*q. Let a be 0*-2*2/8. Solve a = 4*c + q + 12 for c. -5 Suppose w - 2 = 3. Let x(f) = -f**2 + 7*f - 6. Let o be x(w). Let r be (-3)/7 + (-6)/70*-5. Solve r*p = p + o for p. -4 Suppose 0 = 3*q - 3, 3*l + q + 16 = -4. Let g = 9 + l. Solve -2*p - g*p - 4 = 0 for p. -1 Let w = 567 - 564. Solve -18*b + 19*b = w for b. 3 Let k be (8/20)/(2/10). Suppose k*v = 4*v - 26. Let t = -13 + v. Solve t*f = -3*f - 9 for f. -3 Suppose 9*c = 5*c + 8. Suppose 0 = -c*r + 5*r - 9, -3*r + 3 = -3*z. Suppose -z*f = -12 - 4. Solve -3 + f = -5*l for l. -1 Let o = -1346 + 1354. Solve -o*h + h = 35 for h. -5 Let v(b) = -2*b**3 + 2*b**2 + 6*b + 4. Let g be v(-2). Let f = -11 + g. Solve f = 3*a - 1 for a. 2 Suppose 3*i + 4*f = -f - 2, i - 2*f - 14 = 0. Solve 3*g + 3 - i = 0 for g. 1 Suppose -39 = -2*v - 13. Let q = -4 - -4. Suppose 2*d + 9 - v = q. Solve 23 = -5*c - d for c. -5 Let f = 2 + -88. Let g be 12/(-42) + f/(-7). Suppose -b = -4*b + g. Solve -20 = b*j + j for j. -4 Suppose -14*p = -15*p + 3*g + 5, -23 = -3*p + 5*g. Solve -3*o = -1 - p for o. 4 Suppose -3*r + 10*o + 289 = 9*o, -5*r - o = -471. Let g = 100 - r. Solve 2 = g*l - 8 for l. 2 Let r = -28 + 37. Suppose 13*i - 132 = r*i. Let k = -28 + i. Solve k*y = y for y. 0 Let q be (-1)/((-3)/(-6))*-5. Suppose -8*w + 3*w - 30 = 0. Let n = q - w. Solve -5*o = -4 - n for o. 4 Let a = 223 - 218. Solve -3*n - a = -4*n for n. 5 Let o(a) = -7*a**2 - 92*a. Let z be o(-13). Solve 11 = -2*b + z for b. 1 Suppose 3*w + 4*k + 10 = -k, 3*w - 3*k = 6. Let i(g) = -g**2 - 5*g + 7. Let y be i(-6). Solve -d + w*d = y for d. -1 Suppose 0 = 19*v - 12*v - 252. Solve 0 = 3*g + 6*g + v for g. -4 Let g = -179 - -103. Let v = 78 + g. Solve -5*q = 7 - v for q. -1 Let r(k) = k**3 + 51*k**2 + 101*k + 152. Let g be r(-49). Solve -g*a = a - 30 for a. 5 Suppose 23*b - 19*b - 16 = 0. Solve 3 = k - b*k for k. -1 Let f(u) = -u**2 - 8*u - 7. Let a be f(-7). Suppose t - 3*w = 2*w - 22, 3*t + 5*w - 34 = a. Let l be 6 - -2*t/(-6). Solve 6*p = p + l for p. 1 Let f(a) = 5*a + 70. Let b be f(-14). Solve 6 + b = -3*p for p. -2 Let a = -48 + 52. Suppose a*v - 8 = 2*v. Solve -v*y = y for y. 0 Suppose -4*u = u + 100. Let a = u + 17. Let x be (0 + -15)*(a - -2). Solve j = 4*j - x for j. 5 Let f(s) = 3*s + 12. Let h be f(11). Suppose 5*l + 95 = -h. Let x be 2/3*(-630)/l. Solve p - x = -2*p for p. 5 Suppose -3*p + 31*z = 35*z - 53, 0 = -4*z + 20. Solve -9*c + p*c = -8 for c. -4 Let s(c) = c**2 - c + 8. Let t be s(-5). Suppose 2*p - 6 = -4, 0 = -4*i + 2*p + t. Solve 2*r = -3*r - i for r. -2 Let t = -33 + 34. Let j be (t + 0)/((-8)/(-56)) - 3. Solve j*p + 11 - 3 = 0 for p. -2 Suppose -3*n - 63 = -10*n. Suppose -4*y = -n*y + 10. Solve y*q = 6 + 4 for q. 5 Let w be (-60)/270 - (-58)/18. Solve w*o - 6 = 3 for o. 3 Let q be (-62)/93*(-5 - (2 - 1)). Solve 0 = -9*a + 5*a - q for a. -1 Let p(u) = -2*u**2 - 2*u + 2. Let l be p(1). Let j = l + 2. Solve x - 2*x - 5 = j for x. -5 Let p(k) = -k**3 + 10*k**2 - 2*k + 15. Let z be p(10). Let r be (2/1)/(z/(-20)). Let t(i) = -i + 10. Let h be t(r). Solve h*j = -j for j. 0 Let r = 314 + -311. Solve 4 + 8 = -r*n for n. -4 Suppose 0 + 35 = 35*j. Solve -j + 5 = -4*d for d. -1 Let r be ((-35)/21)/((-3)/9). Let d be ((-36)/(-27))/(-4*(-1)/6). Solve r*a - d*a = 0 for a. 0 Suppose 3*r - 519 + 513 = 0. Solve -17 + 7 = r*v for v. -5 Let u(h) be the second derivative of h**3/6 + 15*h**2/2 - 21*h. Let k be u(-5). Solve -2*x + 4 = k for x. -3 Let c(i) = -16*i**2 - 57*i - 7. Let r be c(-3). Solve 5*k + 30 = r*k for k. 2 Suppose 5*f - 3*z + 5*z = 0, -5*f = 5*z + 15. Suppose 0 = -5*w + w - d + 10, 0 = -5*w + 4*d + f. Solve 4 = w*m + 14 for m. -5 Let j(n) = n**3 + 6*n**2 - 7*n + 13. Let c be j(-7). Solve -7*w + c = -8 for w. 3 Let w(l) = 8*l**3 - l**2 - l + 3. Let o be w(1). Solve 0 = -6*z + 3*z + o for z. 3 Let y be (-273)/(-13)*((-36)/21 - -3). Solve -y = 3*l + 6*l for l. -3 Let i be 12/9*(7 + 29). Solve -20*a - 32 - i = 0 for a. -4 Suppose -101 = -10*d + 259. Solve 0 = 13*z - 29 - d for z. 5 Let p be (-3 - 6)/(-1) + (-25)/5. Solve -p*a = -11 + 7 for a. 1 Let g be (-15)/10 - 2/4. Let d be 12/(-3) - g*4. Suppose 103 = d*q + 23. Solve 0 = -3*j + 8 - q for j. -4 Let r(o) = -o**3 + 8*o**2 + o - 6. Let v be r(8). Suppose 0 = 4*i, -k + 4 = i + v. Let h(m) = 4*m**3 - m**2 - 2*m + 2. Let w be h(1). Solve k = -z + w for z. 1 Let i be (11 + (-3 - -1))*4/12. Let v be 112/4 + (i - 5). Solve -5*f = 1 - v for f. 5 Suppose -2*b + 48 = -2*s + 268, 0 = 3*s + 2*b - 325. Let c = -109 + s. Solve -16 = -4*x - c*x for x. 4 Let u(s) = -s + 9. Let g be u(5). Suppose 0*v = -g*v. Suppose -2*k + 5*k = 12. Solve -k*t + 1 - 9 = v for t. -2 Suppose 2*i = -4*t + 18, -2*i + 25 = 2*t + 19. Solve -t*j + 3*j - 15 = 0 for j. -5 Suppose -4*r = 3*u - 6, 3*u + 1314 - 1320 = 2*r. Suppose -5 + 110 = -5*p. Let w be 2/4 + p/(-6). Solve -u = w*m + 14 for m. -4 Let k be 3/((-12)/48 + 1). Solve -k*d = -38 + 18 for d. 5 Let j(n) be the first derivative of -n**3/3 + n**2/2 + 69. Let i be -2 + 3*4/6. Let u be j(i). Solve u*f = -3*f + 9 for f. 3 Suppose 4*l = 8*l - 5*j - 75, 3*l = -3*j + 36. Let r(h) = -7*h - 4. Let q be r(-3). Let p = q - l. Solve 7 = -5*n + p for n. -1 Let a(x) = -77*x - 301. Let m be a(-4). Solve 1 = -6*l + m for l. 1 Let r(a) = -a**2 + 9*a - 6. Let b be r(8). Let f = -533 + 539. Solve -b*g + f = g for g. 2 Suppose -3 = 3*g, 6*j + 95 = 8*j + 3*g. Solve -32*k = 111 + j for k. -5 Suppose 5*t + 2*b = 27, b = 10*t - 9*t - 4. Solve 0 = 6*j - j + t for j. -1 Let o(j) = -2 + j + 2*j**2 - 3*j**2 + 0*j + 3*j. Let f be o(2). Solve -n = -f*n + 4 for n. 4 Suppose -2*k = -4*n + 24, n - 4*n = -k - 17. Solve f - n = 6*f for f. -1 Let x(z) = 16 - 6 + 2*z**2 - 8 - 19*z. Let p be x(8). Let n be p/(-8) + (-6)/8. Solve 2*v - 8 + n = 0 for v. 3 Let r = -10 - -10. Suppose z + 0 - 4 = r. Suppose -3*k + 2 = -z. Solve 0 = k*h + h + 12 for h. -4 Let z = -3 - -7. Suppose -3*r - 2*r + 45 = 5*t, 30 = 5*t + 2*r. Suppose -t*s + 24 = 3*p, -4*s + 0*s = 5*p - 32. Solve -4 = p*v + z for v. -2 Let z(h) = h**2 + 9*h - 12. Let v be z(-11). Let o be 18/15*v/4. Let w be o + -4 - -4*1. Solve w*l - l = 6 for l. 3 Let q(j) = 2*j**2 - 43
{ "pile_set_name": "DM Mathematics" }
- 4*h = 3, -3*d + 9 = 2*h - 4*h. Let z be (4 - d) + -2 + 4. Solve 0 = -z*r + 1 - 4 for r. -1 Let q = 6 - 4. Suppose 5*u - q*u = -2*n + 10, 0 = -4*u + n + 6. Suppose -l - 4*x - 4 = -u*l, x = 0. Solve -l*a + 0 = -4 for a. 1 Suppose -3*u - l + 22 = -6, l + 42 = 4*u. Solve 9*c + 2 = u*c for c. 2 Let z = -5 - -11. Let x be (-4)/z*(-9)/12*2. Solve -3 - x = s for s. -4 Let m be 4 + 28 + -7 + 3. Let c = -19 + -9. Let n = m + c. Solve n*v = v + 5 for v. -5 Let f be 465/(-45) - 1/(-3). Let g = f - -12. Solve -g*r + 3*r + 5 = 0 for r. -5 Let u be 5 + -2 + 11/((-11)/(-6)). Solve -10*y + 5 = -u*y for y. 5 Let f = 13 - -91. Let p = f + -102. Solve -3*z = p*z - 15 for z. 3 Let o be 2 - ((-3 - -4) + 2 - 4). Solve 0*i = o*i + 12 for i. -4 Let y(c) be the first derivative of -c**3/3 - 2*c**2 - 2. Let v be y(-3). Suppose -j + 12 = v*j. Solve -j*o - 6 - 3 = 0 for o. -3 Let y(m) = 4*m**3 - 2*m + 1. Let f be y(2). Let s = 6 + 15. Let z = f - s. Solve -n - n = z for n. -4 Let n(q) = q + 13. Let k be n(-9). Suppose -p - k = -3*p. Suppose -p*m + 2 + 4 = -4*a, -22 = -4*m - 2*a. Solve -36 = -m*c - 11 for c. 5 Let p(l) = 7*l**3 + l**2 + 10*l + 8. Let f(r) = 3*r**3 + 5*r + 4. Let d(i) = 9*f(i) - 4*p(i). Let y be d(-5). Solve -y*w - 4 = 8 for w. -3 Let c(s) = -3*s**2 + 79*s + 83. Let p be c(27). Solve -9*a = p + 16 for a. -5 Let g = -671 + 696. Solve 4*j + j - g = 0 for j. 5 Suppose -5*l + 3*l + 2*m + 174 = 0, 3*l = 2*m + 266. Let n = -88 + l. Let z(a) = a**2 + 5*a + 4. Let j be z(-4). Solve -w = -j*w - n for w. 4 Suppose 4*s - 16 = 4*z, -42*s - z = -45*s + 4. Solve s*x - x = 5*x for x. 0 Let c = -198 + 200. Solve z - 2*z = c for z. -2 Let f(m) = m**3 + 3*m**2 - 7*m - 10. Let r be f(-4). Solve 4 = -3*s - r for s. -2 Suppose 0 = f + f + 12. Let q be f/(-18) + (-88)/(-6). Let k be (-4)/6 - (-10)/q. Solve k = -7*y + 3*y - 20 for y. -5 Suppose -3 = -6*b + 5*b + 2*q, 6 = 2*b + 5*q. Solve 2*l - 1 - b = 0 for l. 2 Let c be (-2 + -6)*21/14. Let u = 15 + c. Suppose -5*f + 12 = -u*f. Solve -f*g = -g - 15 for g. 3 Let d(g) = -g**2 - 5*g - 6. Let q be d(-4). Let a = q - -6. Let j be (-6)/(-8) + (-1)/(-4). Solve 3*r + j = a for r. 1 Let d = -149 - -151. Solve 2*k = 4 - d for k. 1 Let w be (-3)/(-9) + 3/(-9). Let k be ((-2)/(-24)*6)/((-2)/(-8)). Solve -r + 3 + k = w for r. 5 Let y be (47 - 46)*(1 - -2*2). Solve -y*o = -o - 12 for o. 3 Let l(d) = 4*d + 24. Let g be l(-6). Suppose g = -4*x + 8*x. Suppose -3*s - 5*u - 3 + 29 = x, 2*s = u. Solve 0 = -c + s*c for c. 0 Suppose 0*p = 5*i - p - 201, -2*p + 172 = 4*i. Let d = i - 30. Let f = 31 - d. Solve -7*z - f = -2*z for z. -4 Let m(q) = -11*q + 3. Let a be m(2). Suppose 0 = 5*c - 8*c. Let b = c - a. Solve 5*n - 1 - b = 0 for n. 4 Suppose 715*g = 717*g - 80. Solve -23*f + g = -33*f for f. -4 Let u = 1461 + -1461. Solve -49*r + 44*r - 25 = u for r. -5 Let p = -352 - -357. Solve 0 = -4*v - p*v + 18 for v. 2 Let k = -26 - -15. Let p(f) = -28*f - 8. Let c be p(-1). Let x = k + c. Solve a + x = 4*a for a. 3 Let g(b) = b**2 + 6*b - 7. Suppose 0*r - 2*r - 6 = 0, -s = -4*r - 9. Let q be (s/(-6))/((-4)/56). Let t be g(q). Solve 5*a - 3*a = t for a. 0 Suppose -40*b = -38*b - 4. Suppose -w - b + 6 = -4*c, 0 = 2*w - 4*c - 16. Solve -s - 3*s = -w for s. 3 Suppose -2*g + 3 + 13 = -4*q, 0 = -4*g + q + 11. Suppose -3*h - 2*h = 2*u - 10, -32 = 4*u - 3*h. Let v be (-1 - -1)/(u + 4). Solve g*k + v = 2 for k. 1 Let n(z) = z**2 + 4*z**2 - 7*z - 6*z**2 - 4. Suppose -2*i = -2*q - 18, q + 30 = -2*q + 4*i. Let g be n(q). Solve -3*p = -p + g for p. -1 Suppose 0 = y + 23 + 11. Let s = y + 42. Let r(n) = -n**2 + 3*n + 4. Let a be r(3). Solve s = -a*k - 4 for k. -3 Suppose -3*u - 9 = 0, -2*u - 30 = 3*a - 33. Solve a*p - 2 = 10 for p. 4 Suppose -4*m - 2 = -5*m. Let b be m/5 - 116/(-10). Suppose -4*h + 3*t = -t - b, -4*h + 2*t = -6. Solve p - 2 = -h for p. 2 Suppose 21*z = 22*z - 12. Solve -z*u + 13 = -47 for u. 5 Let y(n) = 2*n**2 - 26*n - 16. Let w be y(14). Solve -w*d + 18 = -42 for d. 5 Suppose -f + 15 - 5 = 0. Let w(y) = 15*y - 65. Let l be w(4). Let a = f + l. Solve 3*p = a*p - 10 for p. 5 Suppose -9*y = -7*y + 12. Let h = 10 + y. Solve 0 = h*d + 13 - 1 for d. -3 Let k(t) = 8*t - 11. Let o be k(5). Let x(n) = -n**2 - 17*n - 9. Let j be x(-15). Let i = o - j. Solve 0*z + i = 2*z for z. 4 Suppose -34 = -11*q + 10. Suppose 14 = q*b + 2. Suppose -2*n + 0*s + 26 = -5*s, 0 = -3*n - 4*s + 62. Solve -6 = -b*y - n for y. -4 Let t = -772 - -784. Solve t = -4*n + n for n. -4 Suppose 4*l - 8 = -0. Let r(f) = f - 8*f**l + 7*f**2 + 4*f. Let z be r(5). Solve -g + 4 + z = 0 for g. 4 Let c be 4*1 + (-1)/(-1). Let g(j) = -19*j + 2. Let i be g(0). Solve i*h + 1 = c for h. 2 Let f(g) be the second derivative of 0 - 6*g + 3/2*g**2 + 1/6*g**3. Let p be f(-1). Solve -p*y - 5 = -1 for y. -2 Let m(d) = -79*d - 467. Let p be m(-6). Solve 127 = p*l + 134 for l. -1 Let m = 31 + -27. Suppose -m*c - c + 25 = 0. Solve -c*w - 4 = 6 for w. -2 Suppose 512 = 15*j + 92. Solve 0 = -6*i + 4 - j for i. -4 Let z = -49 - -57. Suppose 17 = z*i - 55. Solve 0*g = 3*g + i for g. -3 Let f(w) = -10*w + 287. Let i be f(27). Solve 0 = -i*q + 5 + 63 for q. 4 Let g = 45 - 20. Solve v + 4*v = g for v. 5 Let b = 3 - 9. Let x(k) = -k**2 - 8*k - 12. Let d be x(b). Solve d*m - 9 = 3*m for m. -3 Suppose 4*i = -0*i + 16. Suppose -l = -a + 2*a + 16, -5*l = 15. Let y = -10 - a. Solve i = -k - y*k for k. -1 Let p = -71 - -116. Let o = -42 + p. Solve -3 - 9 = o*h for h. -4 Let n(g) = -g - 3. Let w be n(-9). Suppose w = j + j. Solve 0 = k + j*k - 16 for k. 4 Suppose -2*q = -16 - 20. Let z be (2 - q)/(3 - 5). Suppose 0 = -r + 3*s, 0 = -s - 2 + 3. Solve -z = -r*b + 4 for b. 4 Suppose -2*y + 0 - 4 = -3*l, 4*l - 5 = 3*y. Solve -t + y = 4 for t. -3 Let g be (3 + -3)*7/(-14). Suppose g = -4*s + 12 - 4. Solve -4*t + s + 2 = 0 for t. 1 Suppose 0*w - 5*w + 25 = 0. Suppose -w*o + 30 = -0*o. Solve -o + 3 = -c for c. 3 Let l(q) = q**2 + 8*q + 6. Let x be l(-6). Let j be -6*4/x + -2. Suppose -v = j*v. Solve -3*k + 4 + 11 = v for k. 5 Let y be (3/(-18))/(-1) - 20/120. Solve y = 4*v + 6 + 2 for v. -2 Let l be (-6)/15 - (4 - 82/5). Suppose l = -4*z + 24. Solve h + 6 = z*h for h. 3 Suppose -8*s = -2*s - 12. Suppose -2 = -v + s. Solve 0 = 3*l - v*l for l. 0 Suppose 24 = -0*z - 4*z. Let i be (-20)/(-6)*(-45)/z. Suppose 0 = 10*k - 5*k - i. Solve -5 - 5 = -k*v for v. 2 Suppose h - 71 = -2*n, -163 = -4*n + 2*h - 41. Let g = n - 32. Solve -g = -x - 3 for x. -2 Suppose 6 - 8 = -f. Suppose 2*j - 6 = 2*u, -u + 7 = 5*j - f*u. Solve k + j = -1 for k. -2 Let d(m) = m**3 + 14*m**2 + 18*m + 31. Let i be d(-13). Let l = -30 - i. Solve -l*y = 1 - 5 for y. 1 Suppose -252 = -10*n + 4*n. Solve -n*w + 44*w = 2 for w. 1 Suppose -10 = -x - 4*x. Suppose -b = -x*b. Suppose b*w + 12 = 4*w. Solve w = -s - 0 for s. -3 Suppose 0 = -30*g + 199 + 161. Solve -g - 21 = 11*k for k. -3 Suppose -22*u + 20*u + 8 = 0. Let q be 2*((-55)/(-10) - u). Suppose -79 = -2*m - 2*m - 5*z, -5*m = -3*z - 71. Solve -m = -q*k - k for k. 4 Let p = 6 - 3. Let o be (-16)/(-6) + p/9. Solve o + 7 = -5*f for f. -2 Let d be -1 - 3/(-2) - 7/14. Solve 0 = j - d*j - 4 for j. 4 Let u = 276 - 261. Solve -12*t - u = 45 for t. -5 Let s be (3 - 6/3)*2/(-2). Let i(c) be the second derivative of c**4/3 + 2*c**3/3 + 2*c**2 - 6*c. Let x be i(s). Solve -x*n + 8 = -0 for n. 2 Suppose -h - 4*h = -3*u - 38, 2*u + 2 = 0. Suppose -7*p = -40 + 47. Let i be (h - 8)*(p - -1). Solve 2*d + i = -4 for d. -2 Suppose -3*l = -5*w - 17, -5*l + w + 2*w + 55 = 0. Suppose t + 11 = l. Solve -g - t = -5 for g. 2 Suppose -14*b + 368 = -122. Solve -33 = 2*x - b for x. 1 Let x be ((-3)/(-3))/((-41)/(-205)). Solve -19 = x*c + 1 for c. -4 Suppose -4 = 2*p - 4*y + 12, -2*p + 2*y = 8. Let z(w) = -w**2 + 6*w + 3. Let j be z(6). Solve k + j = -p*k for k. -3 Suppose 10*n - 11*n = -51. Solve -4*j - 35 = -n for j. 4 Let t be (-3)/(4/((-40)/(-2))). Let b be -1 - t - (-2 - -1). Solve b + 5 = 5*d for d. 4 Let y(l) = l**2 - l + 3. Let q be y(4). Let n = 17 - q. Solve n*v + v = 0 for v. 0 Suppose -3*f + 4*f = 2. Suppose 2*x - 3*l + 11 = 0, 0*l - 22 = 5*x - f*l. Let j be (x/(-8))/((-3)/(-24)). Solve 4 = 2*p - j*p for p. -2 Suppose 2*x + 3*y = 27, 5*x = -2*y + 20 + 42. Let f be 2/(-12) - (-134)/x. Let w = f - 9. Solve -w*o + 6 = -0*o for o. 3 Let
{ "pile_set_name": "DM Mathematics" }
closest to -4.8? (a) -2/3 (b) 0.4 (c) -3 (d) 0.03 (e) 2/15 c What is the closest to -0.311 in 0.1, -0.5, -4, -0.1, 6? -0.5 Which is the nearest to 1? (a) -0.5 (b) 3/5 (c) 0.4 (d) 0.07 (e) -1798 b Which is the nearest to 7? (a) -5 (b) -8 (c) -7/5 (d) -3/8 d Which is the nearest to -0.1? (a) -11 (b) -1 (c) -0.5 (d) -0.029 (e) 6 d Which is the closest to -5? (a) -0.2 (b) 1/5 (c) -0.1 (d) -1 (e) 0.0465 d What is the closest to 0 in 1.05, 2/5, -2, -34/19? 2/5 What is the nearest to 3 in 2/9, 215, -3? 2/9 What is the nearest to -6 in -1/2, 3/8, 5, 80? -1/2 Which is the closest to -1/3? (a) 1 (b) 98/11 (c) 2 (d) 4 a What is the nearest to -3.491 in 14, 2/9, -1/10? -1/10 Which is the nearest to 1? (a) 0.091 (b) 0.27 (c) 1 c Which is the nearest to -10.9? (a) -34 (b) -1/8 (c) 1/8 b Which is the closest to 6? (a) -7 (b) -4 (c) 7 (d) -14 c Which is the nearest to 2.64? (a) 3 (b) -0.2 (c) -5/3 (d) 2 a Which is the nearest to -0.1? (a) 2 (b) -4 (c) 5 (d) -0.6 (e) 1213/3 d What is the nearest to 0 in -290, 27, -2? -2 Which is the nearest to 0.1? (a) 283 (b) 107 (c) 2/5 c Which is the closest to -1601? (a) 1.2 (b) 5 (c) -0.3 (d) 4 c Which is the nearest to -1/2? (a) 1/3 (b) -81 (c) -1/21 c Which is the closest to 0.22? (a) 101 (b) 2 (c) -0.5 (d) 0.01 d Which is the nearest to -0.1? (a) -3/44 (b) -0.17 (c) -3 (d) -1 a Which is the nearest to -2/5? (a) -2 (b) -5/7 (c) -0.4 (d) -18/17 (e) -0.5 c Which is the nearest to -11/3? (a) 12 (b) -2 (c) -0.4 b Which is the nearest to 1? (a) -1/7 (b) 2/11 (c) 22 (d) -1442 b Which is the nearest to 1? (a) -24749 (b) 2 (c) -9/2 b What is the closest to 1 in -2, 8, 8/11, -5? 8/11 Which is the closest to 0.04? (a) 3 (b) -14 (c) -49 a What is the closest to -3 in 552, 0.1, -2/3, 3/2, 0.4? -2/3 What is the nearest to -18 in 1.5, 4, 0, -1/5? -1/5 What is the closest to -0.0072 in 0.2, -5, -0.3? 0.2 Which is the nearest to 4/5? (a) 2/3 (b) -0.1 (c) -0.4 (d) -22/159 a Which is the nearest to 4? (a) -0.27 (b) -4 (c) 661 a What is the closest to 0.1 in 1/2, 0.03, -0.278, 1? 0.03 What is the nearest to 6 in -2/5, 0.083, -2/7? 0.083 Which is the closest to 1? (a) -0.3 (b) 1 (c) -0.12221 (d) 1/2 b What is the nearest to 2/37 in 5/6, 0.3, 0.154, -55? 0.154 Which is the nearest to 0.2? (a) 1 (b) -4 (c) 9 (d) 2/5 (e) 33/2 d What is the closest to -2 in 0.3, -1159, 0.4, 2? 0.3 What is the nearest to 1/2 in -14982, 5, 0.22? 0.22 What is the closest to -794 in 2, -5, 5, -0.3, -27? -27 What is the nearest to 2 in -0.5, -0.2, 72, 14? -0.2 Which is the nearest to -2/111? (a) 2/11 (b) -25 (c) -2/7 a Which is the closest to -0.1? (a) 0.1201 (b) 14 (c) -6 a Which is the nearest to -1? (a) -0.6 (b) 15 (c) -11.1 (d) 2/5 (e) 8 a What is the nearest to -151.8 in -0.4, 0.4, 3, 0.5, 0.43? -0.4 What is the closest to -1 in 3/2, 28, 0.5, 0? 0 What is the closest to 3 in -4, 477, -1/11, 0.4? 0.4 Which is the nearest to -0.1? (a) 1 (b) -2/1333 (c) 12/13 b Which is the nearest to -4? (a) -0.6 (b) -109 (c) 0.1 a What is the closest to 1803 in 4/5, 4, -22? 4 What is the nearest to 0.1 in 2/7, 67, 5/9, -10? 2/7 What is the nearest to 0 in 22, -141, -3, -0.4? -0.4 Which is the nearest to -1/3? (a) 0.2 (b) 6.2 (c) -2 (d) -9 a What is the nearest to 3 in 507, -1, 1/4, 1/3, 2? 2 What is the nearest to -1/4 in 27, 4, 28.7? 4 What is the nearest to 2/5 in -2.524, -0.1, 3? -0.1 What is the nearest to -8 in 3/5, 0.15, -3/7? -3/7 Which is the nearest to 8? (a) -0.4 (b) 2 (c) -1399 b What is the closest to 1 in 0.4, -0.1, -2/3, -795? 0.4 What is the closest to -1/4 in -0.4, 45, -0.3, -0.112? -0.3 Which is the nearest to 11? (a) 0 (b) 4 (c) -82 (d) -0.1 b What is the closest to 14/11 in -0.4, 164, -0.3, -0.1? -0.1 What is the nearest to 0 in -7/2, -5, 0, -100? 0 What is the closest to -252 in 3, 1.4, 0.2? 0.2 Which is the nearest to 1? (a) 2/5 (b) -2.45 (c) 0.1 (d) 4/3 d Which is the closest to -13? (a) -11 (b) -0.04 (c) 18 a Which is the closest to -1/8? (a) -0.3 (b) 9 (c) 0 (d) -5 c Which is the nearest to -1? (a) -0.3 (b) 13 (c) 4 (d) -32/397 a Which is the closest to 0? (a) 0 (b) 21 (c) 9 (d) -3/25 a Which is the nearest to -0.1? (a) -5/2 (b) 2/11 (c) -1/118 (d) 37 (e) -1 c Which is the closest to 2/5? (a) 3 (b) 18/11 (c) -0.3 (d) -8 (e) 2/5 e What is the closest to 744 in 4, -5, 0.057, -0.1? 4 Which is the nearest to 0.1? (a) -3 (b) 242/51 (c) 1/2 (d) 4 c Which is the nearest to -92.2? (a) -2 (b) 3 (c) -3 (d) 0.3 (e) 4 c What is the closest to 0.1 in 3, 2/23, -1.6? 2/23 What is the nearest to -2/5 in -2, -76, -0.1, -6, -0.61? -0.61 What is the nearest to 2/7 in -1/2, 71, -0.09, 2/7, 5? 2/7 Which is the nearest to -1? (a) 2/165 (b) -2/5 (c) 1/5 (d) 10/21 b What is the closest to 0 in -0.2, 0, -3, -4534, 2? 0 Which is the nearest to 0? (a) -5/4 (b) -9 (c) -0.0795 (d) 5 c Which is the closest to -497? (a) -0.1 (b) -3/8 (c) 0 b What is the closest to 0.1 in 5, 1, -1/4, 6, 0.13? 0.13 Which is the closest to -22? (a) -4 (b) 476.6 (c) 0.3 a What is the closest to 216 in 2/45, 71, 0.5? 71 Which is the nearest to 1? (a) 3 (b) -2 (c) -0.062 (d) -1/20 d Which is the closest to 0.2? (a) -0.4 (b) -34 (c) 0.2 c Which is the closest to 0.49? (a) 0.35 (b) 2/7 (c) -4 a What is the closest to 1540 in 1, 2/3, 5, -2/13? 5 What is the closest to -1 in 314/55, 0.4, 0.5, 1? 0.4 What is the closest to -0.1 in 5, 113, 17/8, -4/5? -4/5 Which is the closest to 0.1? (a) 0.21 (b) 20 (c) 0.06 c Which is the closest to 0.3844? (a) -2 (b) -1/4 (c) -0.4 (d) -0.3 b What is the nearest to -1/8 in 2/3, -1473, 2/13, -0.5? 2/13 What is the closest to -74/5 in 1/292, -3/4, 5, 1? -3/4 Which is the nearest to 0? (a) -1 (b) 0.64 (c) -0.11 c Which is the closest to -0.2? (a) -69/8 (b) 51 (c) 5 (d) 4 (e) -0.2 e What is the closest to -6/11 in -0.3, 1, 0.4, 5, -0.2? -0.3 What is the nearest to 1/4 in 165, -3, 8? -3 What is the nearest to 1616 in 4/5, -3, -0.1? 4/5 What is the closest to -2/13 in 2/19, -7, 4? 2/19 What is the nearest to -0.2 in 4/17, -2, 5.389? 4/17 What is the closest to -0.1 in 0.211, -46, -14? 0.211 What is the closest to -3/2 in 2023, 3, -0.2, -0.3, -3? -0.3 Which is the nearest to 36? (a) 0.796 (b) 2/7 (c) 0.5 a Which is the nearest to -2? (a) -2/5 (b) -3/20 (c) -5 (d) 2/13 (e) 0.0937 a Which is the nearest to -11? (a) -2 (b) -1/5 (c) 1 (d) -0.1 (e) -0.5 a What is the nearest to -8 in -4, -2/39, 3, -1? -4 Which is the nearest to -1/2? (a) 9 (b) 1 (c) -0.324 c Which is the closest to 1? (a) -51 (b) 0.05 (c) 18 b Which is the closest to 2/3? (a) -0.0089 (b) 3 (c) -41 a What is the nearest to 0.1 in 922, 0, 3/10, 1/4? 0 What is the closest to -1 in 0.1, 0.4, 4/5? 0.1 Which is the nearest to 0.1? (a) -48 (b) 6 (c) -0.16 (d) -2/3 c What is the closest to 191 in 2, -3, 0.1, 0.4? 2 Which is the closest to 2? (a) -14 (b) -3 (c) -1 (d) -9 c What is the nearest to 0 in 2, 1/6, -13, -0.04? -0.04 Which is the closest to -11? (a) -10 (b) -14 (c) -4 (d) 1 a What is the nearest to -1 in -0.4, 1/4, 2/2299, -5? -0.4 Which is the closest to -0.1? (a) -1 (b) -1/4 (c) 69896 (d) -3 (e) -6 b What is the nearest to 0 in 2/5, 3, -4, -380, -0.5? 2/5 Which is the closest to -2? (a) -58 (b) 0.1 (c) 5.4 (d) -5 b What is the closest to 5 in 1, -1/11, 121, 3? 3 Which is the nearest to 2? (a) -4 (b) -5.1 (c) 60 a Which is the closest to -1? (a) 5/3 (b) 49 (c) -5/4 c Which is the closest to -0.1? (a) 2/3 (b) 0.3 (c) -2936 (d) -2/3 b What is the closest to -1 in -0.01, -17, -4/5? -4/5 What is the closest to 2/3 in -1, -157/7, -19? -1 What is the nearest to -48 in 1/7, 0.1, 4/3? 0.1 What is the nearest to -3 in 0.446, -5, -6, 4/5, -9? -5 What is the closest to -1 in -29, 4, -0.1, -61? -0.1 Which is the closest to 0? (a) -2 (b) -215 (c) -96 (d) -0.1 d What is the nearest to -217 in 3, 9/5, -5? -5 Which is the closest to -2/7? (a) 0.3 (b) 105 (c) 1647 a What is the closest to -15545 in 4, 2, -0.4? -0.4 Which is the nearest to 3? (a) 0.1 (b) -6/29 (c) 7/3 c What is the nearest to 10281 in 0.3, 4, -4? 4 Which is the closest to 1/294? (a) 1/4 (b) -2 (c) -324
{ "pile_set_name": "DM Mathematics" }
87 is divided by m. 7 What is the remainder when 1/(-3)*2*-3 + 94 is divided by 35? 26 Let h be (-27)/(-12) + 2/(-8). Suppose h*i - 120 = -2*i. Let l = -16027 - -16043. What is the remainder when i is divided by l? 14 Suppose 4*t - 2822 = 2*z, 2*z = 4 - 6. Calculate the remainder when t is divided by 71. 66 Let u(i) = i**3 + 10*i**2 - 11*i + 8. Calculate the remainder when 38 is divided by u(-11). 6 Let m = 15 - 8. Suppose 102 = 5*u - 4*f, 4*f - 67 = -4*u - m. What is the remainder when -46*(-3)/2 + 0 is divided by u? 15 Let u(x) = 13*x - 53. Let l be (112/6)/8*3. Calculate the remainder when u(l) is divided by 15. 8 Let f = 1 - 2. Let w be 3/(-1) + f - -10. Suppose -h - 39 = -2*i - 3*i, i - 2*h = w. What is the remainder when 29 is divided by i? 5 Suppose -3*t + 205 = 5*k, k - 3*t - 29 = 30. Calculate the remainder when 212 is divided by k. 36 Suppose 0 = j - 0 - 6. Calculate the remainder when 29 is divided by (5 + -1)*(3/j + 1). 5 Suppose v - 64 = -4*d, 115 = 2*v - d - 40. What is the remainder when v is divided by 26? 24 Let t = 18 - 10. Suppose -7*o - 15*o = -1166. What is the remainder when o is divided by (t/6 + -1)*45? 8 What is the remainder when ((-435)/6)/((-2)/4) is divided by 21? 19 Suppose -25*m - 8*m = -2871. What is the remainder when 168 is divided by m? 81 Let l(v) = v**2 + 9*v + 1. Suppose j - 5*j + 24 = 4*h, h + 5*j = -2. Calculate the remainder when l(h) is divided by 14. 11 Let a = -339 - -660. Calculate the remainder when a is divided by 13. 9 Suppose -58*i + 1472 = -12*i. What is the remainder when 318 is divided by i? 30 Suppose 14*c - 5*c - 729 = 0. Calculate the remainder when c is divided by 42. 39 Let q(h) = -h**2 + 15*h + 97. Let d = 49 + -29. Calculate the remainder when q(15) is divided by d. 17 Suppose 0 = 2*n - 5*n - 4*d + 129, d = 0. Calculate the remainder when 100 is divided by n. 14 Suppose 4*v = 8, -4*n + 0*n = 4*v - 124. Suppose -17 = -4*u - 2*r + 11, -5*r + 16 = u. Let z = 14 - u. What is the remainder when n is divided by z? 5 Suppose 3*v = 0, 4*d - 61 = -4*v + 83. Calculate the remainder when 173 is divided by d. 29 Let a(v) = 15*v**2 - v + 2. Calculate the remainder when a(4) is divided by 30. 28 Let v be (69/21 - 3) + 624/21. Let w = v + -10. What is the remainder when 34 is divided by w? 14 Let t = 12 + -21. Let y = t - -12. Suppose 0 = 3*g - k - 79, 4*g - 35 = -y*k + 79. What is the remainder when g is divided by 10? 7 Let f(j) = 91*j**2 + 72*j - 3. What is the remainder when f(2) is divided by 85? 80 What is the remainder when 80*(36/16 - 0) is divided by 32? 20 Let c(s) = s**3 - 2*s**2 - 3*s - 9. Let i be c(5). Let a = i + -30. Calculate the remainder when 62 is divided by a. 20 Suppose 7*a - 11*a - 12 = 0. Let v be -3 + (-1 - a) + 3. Calculate the remainder when 1 is divided by (7 - 5)/(4 - v). 0 Let o be (-3*3/4)/((-3)/24). Suppose -o = h - 64. What is the remainder when h is divided by 12? 10 Suppose 4*k = 5*f + 9*k - 60, -5*f - 2*k = -69. What is the remainder when 34 is divided by f? 4 Let y(t) = -t**3 - 14*t**2 + 14*t - 15. Let j be y(-15). Suppose j = -w + 17 + 35. Calculate the remainder when w is divided by 18. 16 Suppose 29 + 119 = 4*t. Suppose -1598 = -29*g + 3227 - 707. What is the remainder when g is divided by t? 31 Let y = 193 + -93. What is the remainder when y is divided by 63? 37 Suppose -44 = -2*q + 3*k + 20, -5*q - 2*k = -141. Calculate the remainder when 116 is divided by q. 0 Let u be 2/5 + (-592)/5. Let o = -50 - u. Calculate the remainder when o is divided by (10/4)/(110/616). 12 Let o(t) = 3*t**2 - t - 4. Let k(p) = 5*p**2 - 2*p - 6. Let a(h) = 5*k(h) - 8*o(h). Calculate the remainder when 29 is divided by a(3). 4 Let u = 4990 - 4963. Calculate the remainder when (-22)/(-4)*2*17 is divided by u. 25 Let h be (2 - 14)*1/(-2). Let v = 46 - h. Calculate the remainder when v is divided by 21. 19 Let t = -12 - -23. Suppose 5*m + 3*k = 132, 5*m - 120 - t = -4*k. Suppose -7*a + 7 = -6*a. What is the remainder when m is divided by a? 6 Calculate the remainder when 143 is divided by 39 - (-2 - -6) - -1. 35 Let g = 57 - 37. Suppose -10*m + 14 = -8*m. What is the remainder when g is divided by m? 6 Suppose 0 = 2*y + 2*v - 240, -y - 3*v = -4*y + 378. Calculate the remainder when -3 - -5 - 4/((-12)/y) is divided by 15*(0 + 1 + 0). 13 Let w(o) = o + 16. Let g be w(-11). Let y(a) = g - 6*a + 5 + 5*a. Calculate the remainder when 9 is divided by y(6). 1 Let r(g) = -4*g - 49. Let c(x) = -x + 38. Let z be c(0). Suppose 3*p + p = f - z, 69 = 2*f - p. Calculate the remainder when f is divided by r(-17). 15 Let t = 30 + -7. Suppose -22 = l - 88. What is the remainder when l is divided by t? 20 Suppose 1 = -i + 2, -5*i + 11 = 3*b. Suppose -b*c - 33 = 19. Let m = c - -32. What is the remainder when 29 is divided by m? 5 Let a(m) = -m**3 + 8*m**2 + 6. Let f be a(5). Suppose -2*u = u - f. Calculate the remainder when u is divided by 6/(-9)*6 + 19. 12 Let o(v) = 5*v - 9. Let d = 29 + -40. Let j be ((-2)/3)/(d/99). What is the remainder when 60 is divided by o(j)? 18 Let f(r) = 4*r + 218. Calculate the remainder when 224 is divided by f(-40). 50 Let p(a) = 11*a - 14. Let v be 6/(-39) + 1040/169. Calculate the remainder when 256 is divided by p(v). 48 Suppose 2*m = -2*m + 116. Let f(z) = -20*z - 54. Let i(p) = -7*p - 18. Let k(b) = -6*f(b) + 17*i(b). What is the remainder when m is divided by k(-7)? 7 Let n(j) = j**3 - 12*j**2 + 14*j - 18. Let a be n(11). Let s be (0 - (-2)/3)*3. Suppose 9 = s*r - a. What is the remainder when 23 is divided by r? 11 Suppose -5*o - 4 = -5*m - 19, 2*m = -o. What is the remainder when 23 is divided by o? 1 Let h(s) = -4*s**3 + 2*s**2 + 2*s + 5*s**3 - 4*s**2. Let m(r) = 2*r**2 - 30*r + 3. Let c be m(15). What is the remainder when h(c) is divided by 9? 6 Suppose 2*w + 5*s - 32 = 0, -5*w + 4*w + s = -30. What is the remainder when 68 is divided by (-4 + 2 - 0) + w? 20 Suppose 5*a - 40 = -3*w + 3*a, 3*w + 4*a - 44 = 0. Suppose -4*u + c + 97 = w, -5 = 5*c. Suppose -3*q = 2*q - 195. What is the remainder when q is divided by u? 18 Let v = -5 + 9. Suppose -3*w + 3*u + 21 = 3, -2*w + u + 9 = 0. Suppose 68 = 4*p + 3*f, -w*p = -6*f + f - 22. What is the remainder when p is divided by v? 2 Let a = -59 - -64. Calculate the remainder when a is divided by (6/(-2))/(3/(-2 - 1)). 2 Suppose -80 = 6*f - 10*f. Suppose -21*g = -f*g - 37. What is the remainder when g is divided by 20? 17 Suppose 3*q - 20 = -11. Calculate the remainder when 9 is divided by (21/6 - q)*10. 4 Let g(f) = 77*f - 41*f + 2 - 40*f + 5*f**2. Suppose -4*d = -4*s + 12, 3*s + 2*s - 15 = d. What is the remainder when g(s) is divided by 18? 17 Suppose -52*z - 68 = -56*z. Let u(p) = p**3 - 2*p**2 - 4. Let a be u(3). Suppose -g - a = -2*g. What is the remainder when z is divided by g? 2 Let l(y) = y**2 + 5*y - 1. Let x be l(-6). Suppose 5*g - 217 = -0*g - 2*s, x*g = -5*s + 205. What is the remainder when g is divided by 12? 9 Suppose -4*f + 3*u = 5*u - 372, 4*u + 396 = 4*f. Calculate the remainder when f is divided by 39. 17 Suppose -921 - 159 = -5*z. Let d = z - 78. Calculate the remainder when d is divided by 36. 30 Suppose -3*y + 143 - 26 = 0. What is the remainder when 75 is divided by y? 36 Suppose -4*n + 12 + 4 = 0. Suppose 5*l - 30 = 50. What is the remainder when l + -1 + (0 - 2) is divided by n? 1 Suppose -5*t + 0*t + 285 = 0. Let r = t + -34. Suppose 0 = 9*d - 6*d - i - 206, 0 = -4*d + 3*i + 278. Calculate the remainder when d is divided by r. 22 Let t = -178 - -209. What is the remainder when 710 is divided by t? 28 Suppose 5*n + 205 = 5*r, 5*n = -20 + 45. Suppose -9*u = -7*u - r. What is the remainder when 45 is divided by u? 22 Let n be 38/57 + (-154)/6. Let v = n + 20. Calculate the remainder when 25*((-8)/v + 0) is divided by 14. 12 Suppose 0 = -4*t + 294 + 86. Calculate the remainder when t is divided by 21. 11 Let z be 12/(-1) - -4 - 2. Let k be (-6)/(-10) + 6/z. Suppose 0 = 4*u + 5*s - 379, 3*u + 2*s = -k*s + 293. Calculate the remainder when u is divided by 26. 23 Suppose -d - 10*x + 5*x - 14 = 0, 4*x = 2*d - 28. What is the remainder when 58 is divided by d? 4 Let c(o) be the first derivative of 5*o**3/3 + o**2 + 4*o + 25. Calculate the remainder when c(-2) is divided by 19. 1 Suppose -2*z = p +
{ "pile_set_name": "DM Mathematics" }
What are the prime factors of 11483836? 2, 7, 13, 4507 List the prime factors of 1442775257. 7, 11, 23, 116381 What are the prime factors of 2695270409? 13, 207328493 List the prime factors of 4361448286. 2, 13, 6977, 24043 What are the prime factors of 96693248? 2, 94427 What are the prime factors of 134835549? 3, 103, 131, 3331 What are the prime factors of 56041008? 2, 3, 307, 3803 What are the prime factors of 21957171? 3, 7319057 What are the prime factors of 635697592? 2, 17, 19, 37, 61, 109 What are the prime factors of 352315840? 2, 5, 23, 47869 List the prime factors of 205228429. 7, 97, 409, 739 List the prime factors of 317482489. 317482489 What are the prime factors of 1182674117? 433, 2731349 What are the prime factors of 2051990878? 2, 7, 41, 3574897 List the prime factors of 1831308147. 3, 203478683 What are the prime factors of 350316530? 2, 5, 2381, 14713 List the prime factors of 631444375. 5, 773, 1307 What are the prime factors of 140825883? 3, 11, 4267451 List the prime factors of 463410203. 2699, 171697 List the prime factors of 766764005. 5, 7, 17, 227, 811 List the prime factors of 155924359. 107, 521, 2797 List the prime factors of 3016194287. 20261, 148867 List the prime factors of 2807631349. 19, 147770071 List the prime factors of 47127568. 2, 2945473 List the prime factors of 801827797. 17, 19, 2482439 What are the prime factors of 17559954? 2, 3, 975553 What are the prime factors of 67013872? 2, 4188367 List the prime factors of 188198574. 2, 3, 29, 617, 1753 List the prime factors of 842514849. 3, 11, 17, 500603 List the prime factors of 21313006. 2, 11, 13, 74521 What are the prime factors of 4614074? 2, 19, 29, 53, 79 What are the prime factors of 1761674697? 3, 43, 1517377 List the prime factors of 248152066. 2, 193, 642881 What are the prime factors of 8476358? 2, 11, 385289 List the prime factors of 78644130. 2, 3, 5, 23, 293, 389 What are the prime factors of 3239417686? 2, 1619708843 What are the prime factors of 103456332? 2, 3, 7, 281, 487 What are the prime factors of 46167461? 17, 9397 List the prime factors of 2868316337. 2609, 1099393 List the prime factors of 1516365584. 2, 94772849 What are the prime factors of 25771761? 3, 131, 21859 List the prime factors of 1872268399. 419, 4468421 What are the prime factors of 145201014? 2, 3, 7, 164627 List the prime factors of 88119650. 2, 5, 97, 18169 List the prime factors of 22064361. 3, 11, 668617 What are the prime factors of 1157337257? 109, 613, 17321 What are the prime factors of 67294271? 11, 47, 11833 What are the prime factors of 73422460? 2, 5, 19, 47, 4111 What are the prime factors of 65622425? 5, 11, 238627 What are the prime factors of 1425613300? 2, 5, 14256133 List the prime factors of 31608563. 7, 199, 22691 What are the prime factors of 67863358? 2, 33931679 What are the prime factors of 249002131? 7, 919, 38707 What are the prime factors of 6667747257? 3, 349, 6368431 What are the prime factors of 256953046? 2, 7, 18353789 What are the prime factors of 113214286? 2, 56607143 What are the prime factors of 1273798250? 2, 5, 41, 151, 823 List the prime factors of 1641049798. 2, 19, 107, 403603 List the prime factors of 5089911254. 2, 19, 133945033 What are the prime factors of 3315803997? 3, 11, 337, 298157 What are the prime factors of 58338640? 2, 5, 37, 19709 What are the prime factors of 778514514? 2, 3, 269, 482351 List the prime factors of 457927131. 3, 152642377 List the prime factors of 4181144108. 2, 1045286027 List the prime factors of 133420606. 2, 11, 349, 17377 List the prime factors of 7865320. 2, 5, 31, 6343 What are the prime factors of 286185775? 5, 29, 394739 List the prime factors of 153116124. 2, 3, 7, 1822811 List the prime factors of 139379135. 5, 7, 53, 227, 331 What are the prime factors of 2043374886? 2, 3, 7, 1433, 11317 What are the prime factors of 3453632936? 2, 13, 33208009 What are the prime factors of 747471915? 3, 5, 5536829 What are the prime factors of 65199518? 2, 32599759 What are the prime factors of 160837657? 2887, 55711 List the prime factors of 22426126. 2, 11213063 List the prime factors of 689805811. 19, 23, 347, 4549 List the prime factors of 50762418. 2, 3, 7, 929, 1301 What are the prime factors of 46448354? 2, 31, 749167 What are the prime factors of 3939839232? 2, 3, 7, 769, 953 What are the prime factors of 862942268? 2, 37, 5830691 List the prime factors of 2313726031. 2313726031 List the prime factors of 36944925. 3, 5, 263, 1873 List the prime factors of 210241973. 19, 41, 269887 List the prime factors of 89410069. 7, 673, 18979 What are the prime factors of 111040915? 5, 31, 41, 101, 173 What are the prime factors of 183691539? 3, 29, 103, 6833 What are the prime factors of 3884303? 19, 204437 What are the prime factors of 1003019221? 1003019221 List the prime factors of 321589069. 321589069 List the prime factors of 107325488. 2, 17, 394579 List the prime factors of 44978617. 17, 919, 2879 What are the prime factors of 773897167? 773897167 What are the prime factors of 8840647265? 5, 1237, 1429369 What are the prime factors of 508629894? 2, 3, 449, 188801 What are the prime factors of 1336694872? 2, 167086859 List the prime factors of 100776106. 2, 50388053 What are the prime factors of 192061825? 5, 2689, 2857 What are the prime factors of 174297188? 2, 13, 3351869 List the prime factors of 70908008. 2, 8863501 What are the prime factors of 950650484? 2, 7, 19, 1786937 What are the prime factors of 1014939226? 2, 7, 19, 409, 491 List the prime factors of 410450292. 2, 3, 7, 31, 52541 What are the prime factors of 499431646? 2, 7, 2879, 12391 List the prime factors of 551972499. 3, 13, 223, 63467 List the prime factors of 1274017832. 2, 79, 2015851 What are the prime factors of 4991141305? 5, 97, 10291013 List the prime factors of 41535368. 2, 7, 19, 103, 379 What are the prime factors of 473072976? 2, 3, 3285229 List the prime factors of 42675459. 3, 14225153 What are the prime factors of 126629348? 2, 31657337 List the prime factors of 1320379756. 2, 4603, 71713 List the prime factors of 4221313937. 60101, 70237 What are the prime factors of 952911340? 2, 5, 41, 73, 15919 What are the prime factors of 518803859? 7, 74114837 List the prime factors of 2993234409. 3, 11, 173, 174767 What are the prime factors of 569273715? 3, 5, 727, 17401 What are the prime factors of 35610887? 13, 2739299 List the prime factors of 995357275. 5, 11, 19, 197, 967 What are the prime factors of 463335269? 31, 14946299 What are the prime factors of 3678311853? 3, 408701317 What are the prime factors of 295621410? 2, 3, 5, 7, 28729 What are the prime factors of 209605542? 2, 3, 613, 56989 What are the prime factors of 1889416890? 2, 3, 5, 17, 239, 5167 What are the prime factors of 48214423? 271, 177913 What are the prime factors of 246349132? 2, 647, 95189 What are the prime factors of 54359923? 54359923 List the prime factors of 3531519297. 3, 41, 773, 4127 List the prime factors of 33487543. 33487543 What are the prime factors of 6784918? 2, 7, 83, 5839 List the prime factors of 45554126. 2, 2719, 8377 What are the prime factors of 980221469? 241, 4067309 List the prime factors of 893973969. 3, 7, 499, 9479 List the prime factors of 110141000. 2, 5, 83, 1327 What are the prime factors of 2665379949? 3, 888459983 What are the prime factors of 22008302? 2, 17, 647303 List the prime factors of 31536518. 2, 13, 1212943 List the prime factors of 724616608. 2, 22644269 List the prime factors of 4986918535. 5, 23, 211, 205519 What are the prime factors of 1011323612? 2, 13, 29, 670639 What are the prime factors of 476800220? 2, 5, 13, 239, 7673 What are the prime factors of 15213146? 2, 13, 293, 1997 What are the prime factors of 52003655? 5, 11, 945521 What are the prime factors of 57707762? 2, 7, 79, 52177 What are the prime factors of 929533494? 2, 3, 43, 61, 59063 List the prime factors of 274937343. 3, 37, 2476913 What are the prime factors of 522638511? 3, 174212837 List the prime factors of 891993066. 2, 3, 89, 1670399 List the prime factors of 1769299338. 2, 3, 29, 10168387 What are the prime factors of 46917353? 7, 31, 67, 461 What are the prime factors of 385633559? 17, 3877, 5851 What are the prim
{ "pile_set_name": "DM Mathematics" }
tor of 474 and 78? 6 Calculate the highest common divisor of 42 and 70. 14 What is the highest common divisor of 38 and 513? 19 What is the greatest common divisor of 13 and 13? 13 What is the greatest common divisor of 39 and 21? 3 Calculate the highest common divisor of 8 and 8104. 8 Calculate the highest common factor of 505 and 303. 101 Calculate the greatest common divisor of 34 and 8. 2 What is the greatest common divisor of 10 and 605? 5 What is the highest common divisor of 66 and 10? 2 Calculate the greatest common factor of 87 and 406. 29 Calculate the highest common factor of 123 and 109101. 123 What is the greatest common factor of 438 and 2482? 146 Calculate the highest common factor of 1122 and 68. 34 Calculate the highest common divisor of 54 and 36. 18 What is the highest common divisor of 406 and 98? 14 What is the greatest common factor of 15 and 21? 3 Calculate the greatest common divisor of 369 and 1143. 9 What is the highest common factor of 16184 and 1445? 289 Calculate the highest common divisor of 1242 and 12. 6 What is the greatest common factor of 187 and 2176? 17 What is the highest common divisor of 43 and 2150? 43 Calculate the greatest common divisor of 84 and 36750. 42 Calculate the greatest common divisor of 1386 and 18. 18 What is the highest common factor of 150 and 250? 50 Calculate the highest common factor of 28 and 3584. 28 What is the highest common divisor of 10 and 2608? 2 What is the highest common factor of 16 and 20? 4 What is the greatest common divisor of 792 and 936? 72 What is the highest common factor of 6809 and 11? 11 Calculate the greatest common divisor of 3657 and 46. 23 Calculate the greatest common divisor of 12 and 2316. 12 What is the greatest common divisor of 288 and 9? 9 Calculate the highest common divisor of 143 and 7722. 143 What is the greatest common divisor of 2870 and 210? 70 What is the greatest common factor of 8 and 568? 8 What is the greatest common divisor of 8099 and 7? 7 Calculate the highest common factor of 4096 and 64. 64 What is the greatest common factor of 483 and 21? 21 What is the greatest common factor of 25 and 50? 25 Calculate the greatest common divisor of 11277 and 63. 63 What is the greatest common divisor of 272 and 119? 17 Calculate the highest common factor of 936 and 104. 104 What is the greatest common factor of 164 and 123? 41 Calculate the highest common divisor of 1007 and 159. 53 Calculate the greatest common factor of 16 and 2096. 16 Calculate the greatest common divisor of 12 and 11796. 12 Calculate the highest common divisor of 51 and 3. 3 Calculate the greatest common divisor of 6 and 69. 3 Calculate the greatest common factor of 3249 and 81. 9 What is the highest common factor of 136 and 119? 17 Calculate the greatest common divisor of 1188 and 492. 12 Calculate the highest common divisor of 80 and 2. 2 What is the greatest common factor of 50 and 175? 25 What is the greatest common divisor of 171 and 9? 9 Calculate the highest common factor of 279 and 7. 1 What is the highest common factor of 299 and 23? 23 What is the highest common factor of 14 and 574? 14 Calculate the greatest common factor of 414 and 3450. 138 What is the highest common factor of 2 and 512? 2 Calculate the greatest common divisor of 1460 and 219. 73 Calculate the greatest common divisor of 64 and 1792. 64 What is the greatest common divisor of 66 and 48? 6 Calculate the highest common factor of 153 and 9. 9 What is the highest common divisor of 8192 and 40? 8 What is the greatest common divisor of 176 and 121? 11 Calculate the greatest common divisor of 247 and 65. 13 What is the greatest common divisor of 21868 and 71? 71 What is the greatest common factor of 2704 and 88? 8 Calculate the highest common factor of 21 and 2408. 7 Calculate the highest common divisor of 48 and 12. 12 Calculate the greatest common divisor of 363 and 5676. 33 What is the greatest common divisor of 294 and 154? 14 What is the greatest common factor of 22 and 374? 22 What is the highest common factor of 5 and 3715? 5 Calculate the greatest common divisor of 5 and 1135. 5 What is the highest common divisor of 1425 and 525? 75 Calculate the greatest common divisor of 50 and 250. 50 Calculate the highest common divisor of 30 and 502. 2 What is the greatest common divisor of 105 and 885? 15 What is the highest common divisor of 46 and 1978? 46 What is the greatest common divisor of 98 and 1022? 14 What is the highest common factor of 105 and 60? 15 Calculate the greatest common factor of 190 and 1045. 95 Calculate the highest common factor of 54 and 594. 54 Calculate the greatest common divisor of 444 and 1184. 148 Calculate the highest common divisor of 11 and 2167. 11 Calculate the highest common factor of 3211 and 133. 19 What is the highest common factor of 24 and 4506? 6 Calculate the greatest common factor of 6106 and 142. 142 What is the highest common divisor of 117 and 1157? 13 Calculate the highest common divisor of 60 and 1200. 60 Calculate the highest common factor of 105 and 20985. 15 What is the greatest common factor of 136 and 48? 8 Calculate the greatest common factor of 232 and 8. 8 Calculate the highest common factor of 256 and 16. 16 What is the greatest common factor of 512 and 704? 64 What is the highest common factor of 1 and 263? 1 What is the highest common divisor of 3321 and 123? 123 Calculate the greatest common factor of 306 and 126. 18 What is the greatest common divisor of 264 and 816? 24 Calculate the greatest common factor of 12 and 732. 12 Calculate the greatest common divisor of 248 and 32. 8 What is the highest common factor of 3818 and 166? 166 What is the greatest common factor of 44 and 3828? 44 Calculate the greatest common factor of 722 and 323. 19 Calculate the highest common divisor of 1400 and 224. 56 What is the highest common divisor of 96 and 8? 8 What is the greatest common factor of 45 and 1740? 15 What is the greatest common factor of 1332 and 1152? 36 Calculate the greatest common divisor of 60 and 5170. 10 Calculate the greatest common factor of 11 and 1507. 11 Calculate the greatest common divisor of 928 and 32. 32 Calculate the highest common factor of 798 and 420. 42 Calculate the greatest common factor of 1073 and 319. 29 What is the highest common divisor of 2219 and 1268? 317 What is the greatest common divisor of 14 and 42? 14 What is the greatest common divisor of 357 and 21? 21 Calculate the greatest common divisor of 234 and 558. 18 Calculate the highest common divisor of 4 and 23. 1 What is the greatest common factor of 25 and 28850? 25 What is the highest common divisor of 1955 and 595? 85 What is the highest common factor of 1308 and 12? 12 What is the highest common factor of 345 and 17135? 115 Calculate the highest common divisor of 29 and 551. 29 Calculate the highest common divisor of 448 and 56. 56 Calculate the greatest common divisor of 146 and 7738. 146 What is the highest common factor of 4 and 1? 1 What is the greatest common factor of 34 and 323? 17 Calculate the greatest common factor of 35 and 966. 7 What is the highest common factor of 4215 and 105? 15 What is the greatest common divisor of 455 and 665? 35 Calculate the highest common divisor of 182 and 208. 26 Calculate the highest common factor of 6286 and 7. 7 What is the greatest common divisor of 8918 and 26? 26 What is the highest common factor of 244 and 12? 4 What is the greatest common divisor of 462 and 70? 14 What is the greatest common factor of 605 and 110? 55 What is the highest common factor of 964 and 16147? 241 Calculate the highest common factor of 5710 and 6. 2 What is the greatest common divisor of 22 and 176? 22 What is the greatest common factor of 3168 and 627? 33 What is the greatest common factor of 18 and 54? 18 What is the highest common divisor of 34 and 68? 34 What is the greatest common divisor of 56 and 520? 8 What is the highest common divisor of 120 and 16? 8 Calculate the greatest common factor of 14 and 1169. 7 What is the greatest common factor of 56 and 35? 7 Calculate the greatest common factor of 72 and 54. 18 What is the highest common factor of 26 and 234? 26 Calculate the greatest common factor of 5604 and 12. 12 Calculate
{ "pile_set_name": "DM Mathematics" }
es 0.3? 0.022197 1659 * 0.081 134.379 What is the product of -0.5 and 0.94? -0.47 What is 20597 times 16? 329552 What is 342 times -0.03? -10.26 Multiply 65 and -547. -35555 6 * -0.0224 -0.1344 Calculate -1972*0.003. -5.916 0.008*0.0604 0.0004832 Work out -241070 * -0.5. 120535 Calculate -631*-0.566. 357.146 Work out -25587 * 0.5. -12793.5 Work out -225 * -3.549. 798.525 Work out 91.273 * 3. 273.819 Work out -2.6 * -1945.6. 5058.56 -631.7 * -0.133 84.0161 Work out 962404 * 0.1. 96240.4 -62 times 10.6 -657.2 Work out 4723812 * 0.1. 472381.2 -0.03*1.0554 -0.031662 5265*2.9 15268.5 What is 3202 times -2.6? -8325.2 Calculate 0.02*0.31518. 0.0063036 What is -5 times 0.040402? -0.20201 6*115.29 691.74 Product of 0 and -28060. 0 156 times -557 -86892 -0.031 times 1388 -43.028 What is the product of 0.02 and -228817? -4576.34 -500621 times -0.5 250310.5 -8.3 * 1.09 -9.047 764 * -23 -17572 Product of 35.7346 and 1. 35.7346 Multiply 109.8 and -747. -82020.6 76.36 times -11 -839.96 Work out 0.1232 * 145. 17.864 What is 31.4 times -0.345? -10.833 139 * 0.5447 75.7133 1 * -0.626298 -0.626298 What is the product of 5517.5 and -2? -11035 3066556*-0.2 -613311.2 -14746 times -0.2 2949.2 Calculate -0.1189*0.17. -0.020213 Work out -396 * 437. -173052 0.29 times -11.8646 -3.440734 What is -309.06 times -2? 618.12 337576*-4 -1350304 Calculate -33.15*-12. 397.8 Multiply 527491 and 0.3. 158247.3 Calculate 2757.7*0.5. 1378.85 What is the product of 4 and 166.3? 665.2 What is -0.54 times -640.63? 345.9402 -335968.5 * 0.5 -167984.25 Calculate -1.6525*4. -6.61 What is -0.05 times 15.546? -0.7773 Calculate -290670*2. -581340 Calculate 152*-238. -36176 What is the product of 0.2 and -2616.7? -523.34 Product of 57336 and 0.27. 15480.72 -52.1 * 0.1 -5.21 Multiply 1.4 and -127633. -178686.2 Work out 0.34401 * 0.02. 0.0068802 -4.01*-0.123 0.49323 Multiply 26 and 335. 8710 1 * 5339.1 5339.1 Product of 707.83 and -5.1. -3609.933 What is 2730 times -0.0888? -242.424 Calculate 0.06902*-48. -3.31296 -5353*-0.37 1980.61 1168.71*1 1168.71 -3 times 0.5687 -1.7061 Work out 83459 * 5. 417295 What is -817.052 times -0.4? 326.8208 Calculate -31.81*1494. -47524.14 Multiply -307.72 and -8. 2461.76 Multiply 0.2 and -4.9119. -0.98238 What is 229006 times 0? 0 What is the product of 4 and -22296? -89184 -0.006766 * 6.4 -0.0433024 Product of 5 and -22473. -112365 Calculate 0.1*83292. 8329.2 Work out -0.5 * 334.071. -167.0355 12263*2 24526 -5*-3407.8 17039 What is 3839.78 times -5? -19198.9 -1212.8 * 0.13 -157.664 Calculate -1.592*3782. -6020.944 Product of 13.7359 and 1. 13.7359 What is the product of -4.60689 and -2? 9.21378 1269 times 0.335 425.115 Calculate -144566*-6. 867396 What is the product of -8 and 4303? -34424 Work out -33 * 26. -858 -0.2*-6865.3 1373.06 What is the product of -0.2 and 0.10531? -0.021062 Product of 38.918 and 3. 116.754 Product of -33683 and -0.4. 13473.2 What is the product of -67 and 98.59? -6605.53 What is the product of 1.147 and 1607? 1843.229 496.45*0.4 198.58 Calculate 23.3606*5. 116.803 What is -0.795 times -0.16? 0.1272 What is the product of 3081 and -6? -18486 Calculate 0.2*-4.25. -0.85 Product of 0.2 and 135989. 27197.8 What is 1218 times 2.7? 3288.6 What is the product of -0.21 and -58652? 12316.92 Work out 563 * -0.04. -22.52 -0.057*-1216 69.312 -120.7 * 303 -36572.1 Multiply -7302 and 0.14. -1022.28 -431.49 times 0.3 -129.447 Work out -25 * 537. -13425 What is the product of -0.4 and 0.09639? -0.038556 Multiply -0.02 and -184.28. 3.6856 9614*30 288420 Calculate -0.3*562012. -168603.6 -92 times -481 44252 What is 1428 times -131.2? -187353.6 26.165*-0.2 -5.233 What is -8 times 168.766? -1350.128 -0.3*7257 -2177.1 0.067 * 239.6 16.0532 What is the product of 10 and 6.2044? 62.044 407 * 48.7 19820.9 652537 * 3 1957611 What is 25983.9 times 6? 155903.4 What is -4293 times 1218? -5228874 -223 times -153 34119 Multiply 5 and -2.72. -13.6 Product of 0.2 and 2103.9. 420.78 What is 0.5 times 505967? 252983.5 Work out 0.9662 * -2. -1.9324 39*11379 443781 What is the product of -12 and -95? 1140 -4515 * 1152 -5201280 Multiply -2 and 9959. -19918 Product of -16 and -58924. 942784 3224 * 1.828 5893.472 Work out 3 * 8642. 25926 -3*0.0526 -0.1578 0.13716*-7.2 -0.987552 13538 * -4 -54152 What is -24919 times -0.2? 4983.8 Calculate 0.3*58623. 17586.9 Work out -20762 * 0.05. -1038.1 -12 times -111046 1332552 Product of 497857 and -5. -2489285 Work out 15 * -1287.4. -19311 -12*23.356 -280.272 Work out -0.3 * -14315. 4294.5 3*-371237 -1113711 -1014390 * 2 -2028780 What is the product of 390905 and 0.5? 195452.5 What is -1.2 times 2499? -2998.8 Work out -17.296 * -0.4. 6.9184 What is the product of 2 and -9363? -18726 Work out 40504 * -0.05. -2025.2 Work out -23846.26 * 5. -119231.3 What is -0.3 times -234088? 70226.4 0.18*-3.7 -0.666 What is -79.2 times 5.12? -405.504 -3 * -2656.36 7969.08 1.9 times 821 1559.9 279716.7 times -0.1 -27971.67 Multiply 0.53 and 5560. 2946.8 Work out -714995 * 0. 0 -506*-0.222 112.332 What is the product of 1.2 and -29? -34.8 Calculate 1.066*-123. -131.118 0.78*0.5073 0.395694 Multiply -0.2402 and -3.1. 0.74462 What is 270.8 times 0.081? 21.9348 -2.875 * 4 -11.5 915*139 127185 What is the product of -4 and 8453? -33812 Work out 7 * 6379. 44653 Work out -1.7 * -4.873. 8.2841 Multiply -19144.5 and 6. -114867 -45.16281*-0.1 4.516281 -0.4 * -7996 3198.4 What is -52 times 364.4? -18948.8 1 times -2520.9 -2520.9 -1.2311 times 0.5 -0.61555 1.23*-2.368 -2.91264 1219 times -1.4 -1706.6 -43*1.699 -73.057 Calculate 0.50082*4. 2.00328 What is 0.5 times -1112? -556 Product of -10499 and -170. 1784830 153*-11.47 -1754.91 -123783*0.4 -49513.2 Multiply 92 and -0.5. -46 -0.55*-0.193 0.10615 What is 740 times -0.24? -177.6 Multiply -72 and 12.6. -907.2 Calculate -0.0104*1. -0.0104 Calculate 0.4*39.026. 15.6104 What is the product of -511 and 43? -21973 What is -0.02 times -335732? 6714.64 Work out 2 * -5347. -10694 Work out 451.3 * 1. 451.3 -0.3 * -0.79326 0.237978 Product of 0.2 and 1289.68. 257.936 Work out -0.2 * 6.24647. -1.249294 Work out 0.1 * 5.062. 0.5062 Product of 108 and -12356. -1334448 Product of -40043 and -2. 80086 Product of -0.3 and 2288802. -686640.6 Work out 94 * -0.424. -39.856 What is 3 times -267.823? -803.469 Work out 6056 * 198. 1199088 Product of 233 and 6009. 1400097 -3 * -77355 232065 Multiply -4 and -15.581. 62.324 69.7*0.0983 6.85151 -13682 times 3 -41046 Multiply 0.18546 and 0.42. 0.0778932 -8.5913*-2 17.1826 -3 times -687107 2061321 -32334 times 0 0 3664 times -0.5 -1832 Calculate 0.02754*10.1. 0.278154 Work out -22 * 0.01541. -0.33902 Work out 73 * 244. 17812 -272 * 0.0344 -9.3568 Calculate 27*-14960. -403920 -1.26 times 2882 -3631.32 What is the product of 1181 and -0.144? -170.064 Multiply 0.5 and -63931. -31965.5 72171 * -3 -216513 Product of -1 and 31.8822. -31.8822 What is 2.4 times -827? -1984.8 Multiply 0.2 and 3236. 647.2 What is the product of 0.2 and -0.9236? -0.18472 Work out -1253 * -0.14. 175.42 Product of -0.02924 and 3. -0.08772 What is -417 times 1.2? -500.4 -295*12.7 -3746.5 -4.83258 * -0.4 1.933032 -2 times 77047 -154094 What is the product of 5 and -12.226? -61.13 Multiply -1975 and -221.2. 436870 Multiply 3985 and 2.6. 10361 What is the product of -0.5 and -5815? 2907.5 Multiply 0.1072 and 17. 1.8224 What is the product of 1 and -7297.5? -7297.5 What is the product of 628 and 0.1156? 72.5968 What is the product of 71619 and -7? -501333 Multiply 50608 and 0.2. 10121.6 Product of 5 and 21723. 108615 What is -221 times -4.6? 1016.6 Work out -0.0941 * 2.1. -0.19761 What is 1.38 times 2736? 3775.68 1 times 20654 20654 What is the product of -103.9 and -0.141? 14.6499 Product of -99 and -500. 49500 -0.2 times -75028 15005.6 What is 8 times -0.5912? -4.7296 -50*1553 -77650 -130.56*-0.2 26.112 -41.2*31 -1277.2 Calculate 49*-1153. -56497 3 times -70.72 -212.16 What is the product of 5 and -4.07855? -20.39275 5 times 53.59 267.95 Multiply -2.4 and -7.71. 18.504 What is the product of -50698 and -30? 1520940 0.4 * -4601 -1840.4 Calculate 7.714*-0.4. -3.0856 0.3*0.273926 0.0821778 Product of -0.57 and -110.45. 62.9565 0.3 times -8847 -2654.1 0.07*23.5881 1.651167 Work out -1349 * 740. -998260 Work out -54 * -2.8. 15
{ "pile_set_name": "DM Mathematics" }
7. Let u(t) = -166*t. Determine u(q(p)). -4316*p Let s(t) = 23*t**2 + 3*t - 3. Let n(m) = 2*m**2 + m - 1. Let z(b) = 3*n(b) - s(b). Let l(j) = 119*j. Calculate z(l(u)). -240737*u**2 Let i = -88 - -90. Let x(a) = -14*a + 0*a + i*a + 4*a. Let n(q) be the first derivative of q**3 + 2. Determine n(x(h)). 192*h**2 Let u(l) = 8*l. Let n(y) be the first derivative of 49*y**2/2 + 975. Calculate u(n(k)). 392*k Let r(u) be the third derivative of u**5/30 - 6*u**2 - 17*u. Let k(x) = x - 926. Determine r(k(s)). 2*s**2 - 3704*s + 1714952 Let z(o) be the first derivative of 3*o**2/2 + 2. Let l(x) be the second derivative of -31*x**3/6 - 58*x. Give l(z(w)). -93*w Let w(p) = -3*p**2 + 4*p**2 - 3*p**2. Let a(z) be the first derivative of 56*z**2 - 24901. Calculate a(w(v)). -224*v**2 Let y(w) = -273*w**2. Let m(p) = 7*p + 18. Let u(c) = -17*c - 45. Let r(a) = 5*m(a) + 2*u(a). Calculate y(r(o)). -273*o**2 Let t(c) = 2*c**2. Let y(w) = -116*w + 21. Let d(j) = 13*j + 2. Let z(s) = 7*d(s) + y(s). Give t(z(p)). 1250*p**2 - 3500*p + 2450 Let s(y) = 2*y. Let z be 938/12 + 8/(-48). Let m = -20 + z. Let j(i) = -58 + m - 3*i. Calculate s(j(x)). -6*x Let t(x) be the first derivative of -11*x**3 - 58*x - 2959. Let m(h) = 2*h. What is t(m(j))? -132*j**2 - 58 Let g(n) = -4*n**2. Let h(f) = -596*f**2 + 1778*f**2 - 595*f**2 - 597*f**2. What is h(g(j))? -160*j**4 Let b(z) = 3*z. Let r(w) = 12430*w - 11. Determine b(r(g)). 37290*g - 33 Let b(w) = -2*w**2. Let c(y) = 24540624*y**2. What is c(b(f))? 98162496*f**4 Let h(d) = 20394832*d - 20394832*d + 2*d**2. Let f(i) = 92*i**2 - 356*i**2 - 430*i**2. Determine f(h(z)). -2776*z**4 Let d(g) = -17250547*g. Let t(z) = -z. Give t(d(w)). 17250547*w Let v(b) = b. Let j(r) = -4*r**2 - 160*r + 7. Let i = -160 - -155. Let w(z) = 3*z**2 + 107*z - 5. Let f(p) = i*j(p) - 7*w(p). Give v(f(s)). -s**2 + 51*s Let v(q) = 2*q. Let g = 634 - 634. Let x(b) = 4*b - b - 29*b**2 + 0 + g - 20*b**2. Give v(x(s)). -98*s**2 + 6*s Let a(y) = -24*y. Let c be 3 + 2 - (0 + 3). Let q(z) = -164*z**2 + 81*z**c + 80*z**2. Give a(q(t)). 72*t**2 Let o(h) be the first derivative of 109*h - 10 - 31 + 8*h**2 - 109*h. Let f(q) = 2*q**2. What is f(o(x))? 512*x**2 Suppose 0 = -28*o + 613 + 1095. Let k(m) = 9*m - 4*m - o*m. Let i(x) = -6*x**2. What is k(i(l))? 336*l**2 Let q(t) = 4*t. Let o(p) be the second derivative of -5*p**3 + p**2 + 2537*p. Give q(o(k)). -120*k + 8 Let w(f) = -81*f - 78*f + 402*f - 82*f - 84*f - 83*f. Let o(l) = 4*l**2 + l**2 + 6*l**2. Give w(o(x)). -66*x**2 Let y(i) = 86*i**2 + 64*i + 46. Let h(s) = s**2. What is y(h(t))? 86*t**4 + 64*t**2 + 46 Let i(p) = -4*p**2. Suppose 29 + 13 = 6*y. Let q(g) = -5*g + 54*g - y*g. Determine i(q(n)). -7056*n**2 Let b(l) = 2*l**2 + 7. Let c(z) = -2*z - 5. Let x(u) = -u - 3. Let y = 26 + -23. Suppose -12 = 3*f, -t = y*t - 5*f. Let n(a) = t*x(a) + 3*c(a). What is n(b(s))? -2*s**2 - 7 Let f(x) = 2*x**2. Let d(j) be the first derivative of 47*j**3/6 - j**2/2 - 142*j + 94. Let w(q) be the first derivative of d(q). What is w(f(h))? 94*h**2 - 1 Let w(t) = -t. Let i(f) = 65901911*f**2. Give i(w(c)). 65901911*c**2 Let d(w) be the first derivative of 9 - 1 + 1 + 2 + 3*w**3. Let u(r) = 16*r**2 - 4. Let n(i) = 19*i**2 - 5. Let x(f) = 4*n(f) - 5*u(f). What is x(d(s))? -324*s**4 Suppose 0*v = -2*v + 4*o + 22, 8 = v - 3*o. Let l(r) = -11*r + v*r - 7*r. Let p(d) = 54 - 105 + 14*d**2 + 51. Determine l(p(b)). -14*b**2 Let j(x) = 19*x + 4. Let d(q) = -5*q**2 + 1462*q + 1. Calculate d(j(b)). -1805*b**2 + 27018*b + 5769 Let y(t) = 293 - 559 + 4*t**2 + 266 + t**2. Let v(x) = -3*x**2 - 22. Give v(y(u)). -75*u**4 - 22 Let x(w) = 4*w**2. Let s(y) be the third derivative of 0 - 23/24*y**4 + 15*y**2 - 1/6*y**3 + 0*y. Give s(x(i)). -92*i**2 - 1 Let o(t) = -118*t**2 - 2. Let r be 58/203 - (-33)/7. Let h(d) = 2*d**2 + 8. Let l(m) = m**2 + 5. Let b(y) = r*h(y) - 8*l(y). Determine b(o(a)). 27848*a**4 + 944*a**2 + 8 Let s be (-3)/4*(-86 + 74). Let j(b) = 70*b - s*b + 32*b + 16*b - 13*b. Let i(q) = 3*q**2. Calculate j(i(g)). 288*g**2 Let v(i) = -21*i + 54*i**2 - 87*i**2 + 42*i - 21*i. Let p(h) = -5*h**2 + 4*h**2 - 2*h**2. Calculate p(v(s)). -3267*s**4 Let n(z) = -12*z**2. Let i(x) = -x**2. Let f be (1 + (-6)/(-24))/(3/(-36)). Let k(r) = f*i(r) + n(r). Let h(v) = 19*v**2. Give k(h(a)). 1083*a**4 Let r(k) = -152*k - 226*k + 3 - 3. Let t(m) = -6*m - 1. Let o(z) = 28*z + 5. Let u(f) = o(f) + 5*t(f). Give r(u(g)). 756*g Let y(x) be the first derivative of -2*x**3/3 - 48. Let p(z) be the first derivative of 5 - 3 - 1 - 40*z**2 + 39*z**2. Give p(y(o)). 4*o**2 Let r(x) be the third derivative of x**5/60 + 2*x**2 + 394*x. Let n(l) be the first derivative of -l**3 + 10*l + 127. Determine n(r(z)). -3*z**4 + 10 Let b(x) = -3*x**2. Let a(y) be the second derivative of 7*y**4/12 + 40*y**2 + 51*y + 1. Let h(s) be the first derivative of a(s). Calculate b(h(c)). -588*c**2 Let a(u) = 12*u - 37*u + 3*u + 17*u. Let k(i) = 3*i**2 + 37*i. What is k(a(y))? 75*y**2 - 185*y Let o = 245 + -243. Let i(j) = 80 - 22 + 7*j**o - 49. Let x(w) = -2*w**2. Give i(x(t)). 28*t**4 + 9 Let f(t) = -36*t - 17. Let g(x) = -130 - 126 + 380 - 124 - x. Give f(g(r)). 36*r - 17 Let c(t) = -t**2. Suppose 0 = 3*q + 5*u - 73, 0 = -5*q - 3*u + 104 + 7. Let s(r) = -43 - q*r**2 + 115*r**2 + 43. Give c(s(k)). -8836*k**4 Let g(m) = -38406*m**2. Let d(f) = -85*f**2. Determine d(g(w)). -125376771060*w**4 Let t(o) = 4*o - 328. Let a(j) = -10*j - 311. Give t(a(x)). -40*x - 1572 Let p(t) = -940130*t**2. Let q(n) = -2*n. Calculate q(p(x)). 1880260*x**2 Let y(o) be the second derivative of -o**3/3 + 6*o. Let m(x) = -13*x + 60. Let q(n) = -2*n + 15. Let r(c) = -m(c) + 4*q(c). Give r(y(s)). -10*s Let a(i) = i**2 + 2*i + 68. Let z(k) = 2*k**2 + 5*k + 170. Let g(n) = -10*a(n) + 4*z(n). Let x(q) = 389*q**2. What is g(x(m))? -302642*m**4 Let t(d) = d**2 + 7*d - 118. Let q be t(-15). Suppose f = -9*m + 4*m, 0 = 3*f + m. Let b(h) = 2*h + h - q*h + f*h. Let k(x) = -21*x. Give k(b(a)). -21*a Let v(x) be the first derivative of -x**2 - 9. Let n(l) be the first derivative of 37*l**3/3 - 142. What is n(v(g))? 148*g**2 Let v(c) be the third derivative of -7*c**5/60 - 2*c**2 + 2*c + 15378. Suppose 2*u + 2 = 3*u. Let l(x) = -u*x + 0 + 0. Calculate v(l(a)). -28*a**2 Let j(d) = -5*d. Let u = 95 + -93. Suppose 0*f + 2*m + 8 = 4*f, 0 = -u*f + 2*m + 4. Let n(t) = -4663 + 4663 - t**f. Give j(n(x)). 5*x**2 Let n(w) = -7*w. Let o(i) be the third derivative of -3*i**4/2 - i**3/3 - 28*i**2 - 10. Determine n(o(f)). 252*f + 14 Let q(o) = -237 - 163*o**2 - 238 + 161*o**2 + 475. Let l(u) = 5*u + 13. Calculate q(l(b)). -50*b**2 - 260*b - 338 Let s(f) = -29*f - 4. Let z(x) = 41*x + 6. Let b(r) = -4*s(r) - 3*z(r). Let g(c) = -9*c**2. Determine b(g(q)). 63*q**2 - 2 Let y(p) = 44*p**2. Let w(j) = 16625 - 32*j**2 - 16625. What is y(w(v))? 45056*v**4 Let k(w) = 16*w - 4. Let l(s) = 8*s - 2. Let t(n) = 2*n**2 + 14*n + 5. Let y be t(-7). Let f(o) = y*l(o) - 2*k(o). Let q(u) = 4*u**2. Give q(f(g)). 256*g**2 - 128*g + 16 Suppose 2*b = -3*j - 2*j - 16, -b - 3*j - 10 = 0. Let g(r) = r**2 - 12*r**2 + 16*r**b. Let s(w) = -26*w**2. Give s(g(i)). -650*i**4 Let u(r) = -4*r**2. Let w(f) = -17*f - 484*f**2 + 475*f**2 - 17*f. Let n(s) = s**2 + 4*s. Let q(l) = 51*n(l) + 6*w(l). Give q(u(h)). -48*h**4 Let d(o) = -6*o**2 + 23. Let s(y) = -15*y - y + 47*y - 18*y - 16*y. Calculate d(s(w)). -54*w**2 + 23 Let y(u) = 84*u**2 + 16*u. Let l(w) = -85*w**2 - 19*w. Let r(m) = 6*l(m) + 7*y(m). Let v(g) = 38*g. What is v(r(h))? 2964*h**2 - 76*h Let z(g) = -2*g**2 - 3 - 6 + 9. Let t(s) be the second derivative of -11*s**3/3 + 185*s. Calculate t(z(y)). 44*y**2 Let c(z) = 11*z. Let k(y) = 13*y + 1 - 3*y - 26*y - 10*y + y. Determine c(k(u)). -275*u + 11 Let o(j) = -335597164*j + 551870. Let k(i) = 20068*i - 33. Let h(m) = -50170*k(m) - 3*o(m). Let t(v) = -v. What is t(h(s))? 20068*s Let g(l) = l**2 - 2*l + 2. Let v(b) = 32*b**2 - 56*b + 56. Let n(t) = -56*g(t) + 2*v(t). Let w(x) = -878*x. Determine n(w(y)). 6167072*y**2 Let g(c) be the third derivative of 0*c + 0 + 0*c**3 - 1/60*c**5 - 2*c**2 + 0*c**4. Let t(j) be the second derivative of -2*j**3 + 3714*j. Determine t(g(d)). 12*d**2 Let c(k) = -4*k - 3. Let j(s) = 1263*s + 772. Determine c(j(g)). -5052*g - 3091 Let n(r) = 2*r**
{ "pile_set_name": "DM Mathematics" }
z? 5 Let z = 10 - 8. What is the units digit of -3 + 1 + z + 1? 1 Suppose -16 = 11*w - 12*w. What is the units digit of w? 6 Let h(d) = 16*d - 3. What is the units digit of h(3)? 5 Let a(j) = -j**2 + 6*j + 68. What is the units digit of a(0)? 8 Let a(c) = -5*c**2 + 5*c + 5. Let s(p) = -4*p**2 - p - p + 5*p**2 + p - 1. Let o(k) = 2*a(k) + 11*s(k). What is the units digit of o(5)? 9 Suppose 5*r + 507 = 2*y, y + 2*r = -4*y + 1253. What is the tens digit of y? 5 Suppose -6*c = -7*c + 30. What is the tens digit of c? 3 Suppose -x + 2*x + 2*i = 27, 0 = 2*x + 5*i - 49. What is the units digit of x? 7 Let f be (9/(-2))/((-2)/(-4)). Let v = 11 + f. What is the units digit of (-19)/2*(0 - v)? 9 Suppose -3*r - 5*k = -18, k - 9 = -r - 3. Let n(b) = -r*b - 1 + 0 + 7*b. What is the units digit of n(6)? 5 Let c be 2/(-9) + 38/9. Suppose -5*a + 50 = 2*x, 0 = 4*a - 5*x - c - 3. What is the units digit of a? 8 Let f = -58 + 28. What is the units digit of 6/f - (-141)/5? 8 Let f be (-48)/(-8) + 1/1. Suppose 0 = -f*d + 2*d + 20. Let o = d + 1. What is the units digit of o? 5 Let w(c) be the third derivative of c**4/24 + 2*c**2. Let g be w(1). What is the units digit of (g + (-1)/2)*14? 7 Let s be (-8)/20 + 6/(-10). What is the units digit of ((-24)/(-4))/(s/(-2))? 2 What is the tens digit of 2/(-5) + (-411)/(-15)? 2 Let u(r) = r**3 + 11*r**2 + 6*r - 4. What is the units digit of u(-10)? 6 Let a be (-29)/(-9) + (-2)/9. Suppose 0 = a*t - 5*k - 99, -k = 4*t + 2*k - 161. What is the units digit of t? 8 Let k = -4 + -1. Let o = k - -8. Suppose -1 = -2*z + o*l, 3*z - 6 - 12 = -l. What is the units digit of z? 5 Suppose q = -f + 5, -9 = -4*q + 3*q + f. Suppose -3*t = 3*y - 57, q*t - 3*y - 135 = 2*t. What is the tens digit of t? 2 Suppose 3*j - 2 = 52. What is the units digit of j? 8 Let k(o) = -21*o - 3*o - 2 + 3. What is the tens digit of k(-1)? 2 Let h be (-1)/(2 - (-11)/(-5)). Let r = -3 + h. Suppose -r*s = -2 - 8. What is the units digit of s? 5 Suppose 2*a = a + 25. What is the tens digit of a? 2 Let w be (-328)/(-18) - 24/108. Suppose -c + w = -11. What is the units digit of c? 9 Let r be (-1)/(2/(-102)) + 3. Let p = r + -31. What is the tens digit of p? 2 Suppose 4*s + 3*c = 10, 12 = 8*s - 4*s + 4*c. Let z = s + 4. Suppose -q + z*i - 3 = 0, -5*q + 0*q = -3*i - 29. What is the units digit of q? 7 Let m(y) = y**2 + 14*y + 16. Let b be m(-12). Let k = b - -9. Let s(j) = 11*j**2 + j. What is the units digit of s(k)? 2 Let n = 14 - 18. What is the units digit of 0 + 2 - (-19 + n)? 5 What is the tens digit of 0 - (-2 + 66/(-2))? 3 Let d(i) be the second derivative of 20*i**3/3 - i**2 + 8*i. What is the units digit of d(1)? 8 What is the tens digit of (1251/27)/(1/3)? 3 Suppose -4 = -0*l + l. Let j be 2/l*2 - -3. What is the tens digit of (-32)/(-2) + 0 + j? 1 Let v be 1/(20/18 - 1). Let d(o) be the second derivative of -o**3/6 + 6*o**2 + 3*o. What is the units digit of d(v)? 3 Suppose 18*y + 158 = 5162. What is the tens digit of y? 7 Suppose 0 = 4*b + 2*b - 300. What is the units digit of b? 0 What is the tens digit of (9/1)/((-9)/(-63))? 6 Suppose -2*x = -r - 231, r = -2*x + 211 + 10. What is the units digit of x? 3 Suppose 232 = 3*i + 4*x, -3*i - 5*x + 132 = -95. What is the tens digit of i? 8 Suppose -44 - 8 = -4*f + 5*d, 3*d = 0. What is the units digit of f? 3 Let w(f) = f**3 - 5*f**2 - 17*f. What is the tens digit of w(8)? 5 Suppose 0 = 4*b - 3*b - 18. Let n = 35 - b. What is the units digit of n? 7 Let h(w) = -10*w + 3. Let u(o) be the second derivative of 3*o**3/2 - o**2 - o. Let a(i) = -4*h(i) - 5*u(i). What is the units digit of a(-2)? 8 What is the tens digit of 0 - (-32 - (-2 + 1))? 3 Suppose -5*c - 2*h = -9, 0 = -2*c + 3*h + 7 + 8. Suppose 2*r - 58 = 3*d, 2*r + c*d - 82 = -0*d. What is the units digit of r? 5 Suppose -c - c - 72 = -2*i, c = -5*i + 162. Let z = i + -5. What is the tens digit of z? 2 Suppose 0 = 5*f - 5*t - 15, -2*t - 12 = -4*f - 6*t. Suppose f*w - 75 + 15 = 0. Suppose 3*m - j = 18, -2 = 3*m - 3*j - w. What is the units digit of m? 6 Let o be (1 + -9 - -1) + 1. Let c(n) = -n**2 - 8*n. What is the units digit of c(o)? 2 Suppose -2*q = h - 4, -2*q - 2*q = 4*h. Let v = h - -6. Suppose 8 + 0 = v*j. What is the units digit of j? 4 Let g be ((-162)/(-45))/((-2)/(-30)). Let l = -25 + g. What is the units digit of l? 9 Suppose -9*u = -7*u - 44. What is the units digit of u - (4 + -3 + -1)? 2 Suppose 5*c - 22 = -2*y + 3*y, -c = -4*y - 31. Let p = -2 - y. Suppose 0*k - k = -p. What is the units digit of k? 5 Suppose 4*o - 2*o = 20. Let j be (-6)/o + 92/20. Suppose -x + 44 = j*d, -2*x = 2*d - 5*x - 22. What is the units digit of d? 1 Suppose 0*c - 27 = c. Let u = -19 - c. What is the units digit of u? 8 Suppose 0 = 5*t + 4*n - 335, -t - n + 137 = t. What is the units digit of t? 1 Let p(q) = 1 + 6 + 2*q + 5*q**3 - 8 - 3*q**2. Let j be p(2). Let t = j + -18. What is the units digit of t? 3 Let v(n) = n**2 + n + 40. Let g be v(0). Let d = g + -22. What is the units digit of d? 8 Let b(k) = 3*k - 5. Suppose -18 = -5*c - o - o, 2*o - 10 = -3*c. What is the units digit of b(c)? 7 Let k = 0 + 5. Suppose -h - 2*t + 5*t = -39, 1 = -h - k*t. What is the units digit of h? 4 Let k = -10 - -14. Let v(j) = -j**3 + 6*j**2 - 6*j + 5. What is the units digit of v(k)? 3 Let k be (-40)/(-12)*9*2. Suppose -3*l - 3*u - 36 = 0, 5*l + u - 8 = -k. What is the units digit of (-1)/(-5) + (-98)/l? 0 Let m be 112 + (-2 - (1 - 6)). Suppose -m = -2*l - 25. What is the tens digit of l? 4 Let z = 22 - 36. Let b = -8 - z. Let a = -1 + b. What is the units digit of a? 5 Let r = -9 + 4. Let g = 8 + r. Let w(c) = c + 4. What is the units digit of w(g)? 7 Suppose 2*a - 5 = 1, 0 = 4*x + 2*a - 1686. What is the units digit of x? 0 Suppose -4*k + 0 = -12, n + 2*k - 9 = 0. Let l(w) = -2 + 2*w - w**3 - w + 6*w**2 - n. What is the units digit of l(6)? 1 Suppose l = 4*f - 18, 1 + 17 = -l - 2*f. What is the tens digit of ((-2)/(-2) - 2)*l? 1 Suppose -4*u - 3 - 19 = -2*j, 2*j + u - 2 = 0. Let p(v) = 0*v**j + 2*v**3 - v**3. What is the units digit of p(2)? 8 Suppose -2*h = h + 12. Let m be (2/1)/((-4)/102). What is the tens digit of 2/8 + m/h? 1 Let g be -4 + 4 - (3 - 5). What is the units digit of 2 - (g*-7 + 3)? 3 Suppose -5*r = -4*r - 10. Let s(t) = t - 6. What is the units digit of s(r)? 4 What is the units digit of (-30)/20 + 30/4? 6 Suppose 5*q = 32 - 2. Let c = 9 + q. What is the tens digit of c? 1 Suppose -7 - 1 = -f. Suppose -4*g = -f - 36. What is the tens digit of g? 1 Suppose -4*l + 508 = -2*l. What is the hundreds digit of l? 2 Suppose 5*b - 132 = 363. What is the units digit of b? 9 Let j = 8 - 11. What is the units digit of (13 - (-6)/j) + 2? 3 Suppose -35 + 7 = 4*o. Let d(u) = u**2 + 6*u - 7. Let n be d(o). What is the units digit of n - 5*(-3 - -2)? 5 What is the units digit of 4 - (-33 - -2) - 0? 5 Suppose 0*m - 5*m + 3*l - 44 = 0, -2*m = -4*l + 26. Let y(c) = -c**3 - 7*c**2 - 4*c - 6. What is the units digit of y(m)? 2 Suppose 0 = -x + 5*c + 143, 0 = -3*x - 5*c + 117 + 272. What is the hundreds digit of x? 1 Suppose -3*i = 6 - 3. Let y be (i/(-4))/(9/36). What is the units digit of (0 - y)*(0 + -2)? 2 Let m(z) = -z**3 - 5*z**2 + 4*z - 8. Let y be m(-6). Let n(q) = q**2 + y*q**2 - 2*q + 1 + 4*q. What is the units digit of n(-1)? 4 Let s be (-51)/(-12) + 2/(-8). Suppose s*z - 1 = 3. Suppose 2*v = y - 7, -z = v + 1. What is the units digit of y? 3 Let d be 2 + (4 - 69) + -2. Let z = -16 - d. What is the units digit of z? 9 Suppose 0 = -i - 4*a + 45, -4*i + 0*a = 5*a - 169. Suppose -2*j + i + 27 = 0. Let t = 50 - j. What is the units digit of t? 6 Let w(n) = n. What is the units digit of w(6)? 6 Suppose 5*g - 508 - 12 = 0. What is the units digit of g? 4 Let a(f) = -f**3 + 6*f**2 + f - 1. Let p be a(6). Suppose -z + p*z = 24. What is the units digit of z? 6 Suppose c + 5*b = -23 + 2, -2 = -2*b. Let n(g) = -17*g + 2. Let a be n(-2). Let p = a + c. What is the units digit of p? 0 Let s = -151 + 308. What is the hundreds digit of s? 1 Let t(u) = -u + 3. Let n be t(4). Suppose f - 4*o + 25 = 4*f, 2*o = -5*f + 51. Let v = n + f. What is the tens digit of v? 1 What is the units digit of (-8 + 2)*(448/(-12))/7? 2 Let r = 21 - 10. What is the tens digit of r? 1 Let h(o) = -6*o + 46. L
{ "pile_set_name": "DM Mathematics" }
36 Let y(d) = -151*d - 21. Give y(-2). 281 Let q(b) = -b**2 - 25*b + 45. Give q(-19). 159 Let j(g) = -93*g + 2026. Determine j(22). -20 Let y(v) = -14*v**2 + 8*v - 6. Determine y(4). -198 Let y(z) = z**2 - 79*z - 590. Calculate y(85). -80 Let y(n) = 16*n + 348. Calculate y(14). 572 Let l(w) = 7*w**3 + 14*w**2 - 26*w + 12. Give l(1). 7 Let b(f) = -f**3 + 29*f**2 - 169*f + 31. Calculate b(21). 10 Let u(j) = 5*j**3 - 4*j**2 - 281*j - 60. What is u(-7)? -4 Let m(c) = -2*c**3 + 29*c**2 - 93*c + 36. Give m(9). 90 Let m(n) = 13*n - 71. Calculate m(3). -32 Let n(f) = f**2 - 22*f - 51. Determine n(32). 269 Let b(f) = -16*f**3 + 60*f**2 + 17*f - 1. Calculate b(4). 3 Let j(w) = w**3 + 26*w**2 - 2637*w + 200. Determine j(-66). 2 Let r(g) = -g**2 + 13*g - 206. What is r(25)? -506 Let h(t) = -t**3 - 6*t**2 + 4*t - 23. Determine h(-7). -2 Let u(o) = -18*o + 430. Calculate u(26). -38 Let v(j) = -j**3 - 48*j**2 - 208*j + 328. What is v(-43)? 27 Let n(d) = -27*d**2 + d - 3. What is n(2)? -109 Let m(i) = 63*i - 739. Calculate m(7). -298 Let a(n) = -2*n**3 - 70*n**2 + 226*n - 73. Calculate a(-38). 3 Let i(s) = 114*s**2 - 9*s - 3. Determine i(-1). 120 Let k(i) = i**3 + 30*i**2 - 315*i - 4901. Calculate k(-35). -1 Let a(y) = -31*y + 534. Calculate a(17). 7 Let x(p) = p**3 - 10*p**2 - 9*p. What is x(-1)? -2 Let c(o) = -o - 5. Determine c(10). -15 Let m(n) = -818*n - 3. Give m(0). -3 Let v(t) = -11*t - 137. Give v(-24). 127 Let x(a) = 5*a + 14. Calculate x(-3). -1 Let q(g) = 4*g**2 + g - 7. Determine q(-2). 7 Let k(q) = q**3 + 13*q**2 - 16*q - 424. What is k(-11)? -6 Let u(m) = -94*m - 2233. Give u(-24). 23 Let y(z) = -438*z + 66598. Calculate y(152). 22 Let s(r) = -r**2 - r - 102. What is s(0)? -102 Let f(t) = t**2 + 1788*t. Calculate f(0). 0 Let p(d) = 381*d - 771. Calculate p(2). -9 Let c(v) = 771*v + 5388. What is c(-7)? -9 Let g(n) = 3*n**3 + 764*n**2 + 6394*n - 496. Give g(-246). -4 Let t(u) = -u**3 - 16*u**2 + 110*u + 102. Calculate t(-21). -3 Let a(n) = -18*n - 298. Give a(-20). 62 Let u(x) = -55*x + 1099. Give u(20). -1 Let z(m) = -2*m**2 + 252*m - 981. Determine z(122). -5 Let t(a) = 2*a**2 + 80*a + 63. Give t(-38). -89 Let d(i) = i**2 + 25*i + 160. Determine d(-11). 6 Let a(m) = 12*m - 17. Give a(-2). -41 Let t(j) = -j**3 - 13*j**2 + 21*j + 267. Calculate t(-13). -6 Let b(l) = l**3 + 17*l**2 + 65*l - 51. Determine b(-8). 5 Let f(u) = -8*u**2 + 111*u + 460. Calculate f(-4). -112 Let f(w) = -w**3 - 19*w**2 - 29*w - 5. Calculate f(-6). -299 Let x(v) = -v**2 - 11*v + 51. What is x(-13)? 25 Let j(b) = 187*b - 2239. Give j(14). 379 Let y(s) = -1841*s + 7367. What is y(4)? 3 Let v(r) = 9*r + 1. What is v(-8)? -71 Let f(n) = -n**3 - 4*n**2 + 192*n + 932. Determine f(-5). -3 Let p(c) = c**2 + 21*c + 171. What is p(-17)? 103 Let o(d) = -1688*d + 75962. Calculate o(45). 2 Let c(v) = -37*v**2 + 41*v - 31. Determine c(1). -27 Let q(m) = -19*m**3 + 780*m**2 - 25*m - 662. Determine q(41). -6 Let h(w) = 2*w**3 + 17*w**2 + 4*w + 28. What is h(-8)? 60 Let z(w) = -w**3 + 6*w**2 - 38*w + 172. What is z(5)? 7 Let s(w) = -w**3 + 374*w**2 - 31248*w + 8. What is s(126)? 8 Let s(j) = -183*j + 827. What is s(5)? -88 Let v(n) = -6*n**2 - 150*n + 331. What is v(-27)? 7 Let m(r) = 13*r + 99. What is m(5)? 164 Let t(x) = -4*x**3 + 9*x**2 + 2*x - 21. Give t(4). -125 Let q(i) = -i**3 + 18*i**2 - 17*i + 5. Determine q(12). 665 Let j(c) = c**2 - 138*c + 2364. Determine j(20). 4 Let u(b) = -b**2 - 11*b + 75. Calculate u(0). 75 Let i(d) = -728*d + 149971. Give i(206). 3 Let x(c) = 19*c**3 + 132*c**2 - 2*c - 1. Give x(-7). -36 Let m(d) = -3*d**3 - 72*d**2 - 358*d + 5. Determine m(-7). 12 Let w(x) = -401*x + 5195. Calculate w(13). -18 Let d(z) = 4*z**2 - 88*z - 9. Calculate d(21). -93 Let q(c) = -c**3 - 4*c**2 + 12*c + 1. What is q(-6)? 1 Let a(l) = l**3 + 21*l**2 + 102*l - 1. Calculate a(-12). 71 Let d(j) = 58*j**3 - 5511*j**2 + 92*j + 237. What is d(95)? -48 Let n(g) = 35*g**2 + 736*g + 43. What is n(-21)? 22 Let i(v) = 2*v**3 - 14*v**2 + 7*v - 16. What is i(6)? -46 Let f(p) = p**3 + 24*p**2 - 51*p + 64. Calculate f(-26). 38 Let r(g) = g**2 + 731*g - 7447. Give r(10). -37 Let q(w) = -2842*w + 11373. Determine q(4). 5 Let f(v) = -2*v**2 - 60*v + 823. What is f(-40)? 23 Let m(q) = 1036*q + 3092. Calculate m(-3). -16 Let g(f) = -3*f**2 - 31*f - 33. Give g(-3). 33 Let o(u) = u**3 + 10*u**2 - 16*u - 83. What is o(-10)? 77 Let f(u) = -933*u - 7434. Calculate f(-8). 30 Let f(h) = -2*h**2 - 4*h + 59. Determine f(-6). 11 Let h(q) = 5*q - 542. Give h(92). -82 Let c(z) = -z**3 + 9*z**2 - 43*z + 212. Calculate c(7). 9 Let w(k) = -6*k**2 + 585*k - 212. Determine w(97). 79 Let a(s) = 401*s - 2015. Give a(5). -10 Let i(c) = c**3 - 74*c**2 + 468*c + 72. Calculate i(67). 5 Let z(x) = 5929*x - 11866. Calculate z(2). -8 Let d(s) = 5*s + 351. Calculate d(-59). 56 Let f(p) = -7*p**3 + p**2 + p. Calculate f(1). -5 Let l(j) = -199*j - 31638. Determine l(-159). 3 Let g(n) = n**3 + 20*n**2 + 52*n - 10. Give g(-17). -27 Let p(m) = -116*m + 12991. Calculate p(112). -1 Let r(v) = v**3 + 54*v**2 - 951*v - 121. What is r(-68)? -189 Let p(q) = -q**3 - 39*q**2 - 104*q + 130. What is p(-36)? -14 Let s(b) = -41*b + 378. Calculate s(9). 9 Let a(q) = q**2 + 20*q - 780. Calculate a(19). -39 Let i(u) = -u**2 + 2*u - 24. Calculate i(9). -87 Let b(c) = -c**2 + 47*c - 533. Determine b(26). 13 Let s(o) = -o**3 + 46*o**2 - 297*o + 2. What is s(8)? 58 Let p(i) = -i**2 - 60*i - 857. What is p(-24)? 7 Let k(m) = 2*m**3 + 89*m**2 + 46*m - 92. What is k(-44)? -180 Let k(b) = -3*b**2 + 10*b + 19. Calculate k(5). -6 Let r(o) = 263*o - 2034. Give r(8). 70 Let v(a) = a - 49. Determine v(-7). -56 Let m(r) = -398*r - 2193. What is m(-5)? -203 Let d(t) = -2*t**3 + 48*t**2 + 52*t - 40. Give d(25). 10 Let j(p) = 27*p**2 + 290*p + 1146. Give j(-4). 418 Let y(u) = -45*u + 5123. Give y(114). -7 Let c(q) = -8*q**3 + 103*q**2 + 2*q + 104. Determine c(13). -39 Let y(t) = -264*t + 11353. Give y(43). 1 Let f(j) = 410*j + 34079. What is f(-83)? 49 Let u(j) = -j**2 + 85*j - 1292. Determine u(65). 8 Let y(b) = 3*b**2 + 45*b - 644. Determine y(-24). 4 Let m(z) = -z**3 + 3*z**2 - 117*z - 509. Determine m(-4). 71 Let w(v) = 2*v**2 + 225*v + 176. Give w(-112). 64 Let r(b) = -850*b - 4336. What is r(-5)? -86 Let u(t) = 138*t**2 - 35*t + 34. What is u(1)? 137 Let y(s) = -27*s + 1058. What is y(42)? -76 Let d(i) = -9*i**2 + 7*i + 47. Calculate d(6). -235 Let w(j) = j**3 - 86*j**2 + 274*j - 8911. Determine w(84). -7 Let n(k) = -5737*k - 57374. Determine n(-10). -4 Let y(x) = x**3 + 14*x**2 + 29*x + 32. Determine y(-13). -176 Let p(g) = -g**3 + 23*g**2 - 45*g + 10. What is p(21)? -53 Let f(h) = -99*h + 100. What is f(1)? 1 Let s(o) = 57*o - 397. Calculate s(6). -55 Let v(z) = z**3 - 67*z**2 - 5*z + 132. What is v(67)? -203 Let k(y) = 18*y - 153. Determine k(6). -45 Let s(c) = c**2 - 49*c + 548. Give s(27). -46 Let a(f) = -f**2 + 16*f + 78. Determine a(-5). -27 Let d(z) = 6*z - 889. Give d(154). 35 Let h(i) = -i**2 - 19*i - 68. Give h(-5). 2 Let f(j) = -36*j**2 - 283*j + 41. What is f(-8)? 1 Let t(y) = -24*y**2 + 25*y + 20. What is t(-2)? -126 Let r(c) = -c**2 + 21*c + 54. Calculate r(-5). -76 Let m(z) = -z**3 - 4*z**2 + 35*z - 10. Determine m(7). -304 Let d(m) = 2301*m + 13807. Calculate d(-6). 1 Let a(t) = t**3 - 33*t**2 - 142*t - 10. Calculate a(37). 212 Let g(l) = -13*l**2 + 68*l - 172. Determine g(3). -85 Let q(k) = -295*k + 6145. What is q(21)? -50 Let l(p) = p**3 + 30*p**2 + 29*p + 69. Calculate l(-30). -801 Let j(x) = -x**3 + 36*x**2 - 262*x + 49. What is j(26)? -3 Let l(m) = -m**3 + m**2 - 18*m + 42. What is l(2)? 2 Let u(h) = -47*h - 6437. What is u(-137)? 2 Let i(c) = -c**3 + 46*c**2 - 46*c + 205. Determine i(45). 160 Let t(c) = -c**3 - 19*c**2 - 39*c + 5. Determine t(-16). -139 Let k(z) = -85*z**2 + 134*z + 3. Calculate k(2). -69 Let m(a) = -a**2 - 22*a + 3722. Calculate m(-73). -1 Let n(v) = -61*v + 350. Calculate n(6). -16 Let n(g) = g**3 + 7*g**2 + 47*g + 116. Calculate n(-4). -24 Let v(k) = -2*k**3 - 721*k**2 + 297*k - 23108. What is v(-361)? -4 Let f(j) = -19*j + 86. Calculate f(3). 29 Let o(f) = -2*f**2 - 123*f + 449. Calculate o(-63). 260 Let h(m) = 5*m**3 + 79*m**2 + 296*m - 123. Determine h(-8). 5 Let s(h) = -37*h**3 + 8*h**2 + 46*h + 45. Det
{ "pile_set_name": "DM Mathematics" }
What is the tenth root of 235043 to the nearest integer? 3 What is the tenth root of 1854597 to the nearest integer? 4 What is 150129 to the power of 1/2, to the nearest integer? 387 What is 749923 to the power of 1/2, to the nearest integer? 866 What is 320517 to the power of 1/2, to the nearest integer? 566 What is 3213450 to the power of 1/10, to the nearest integer? 4 What is 292835 to the power of 1/2, to the nearest integer? 541 What is the third root of 2280470 to the nearest integer? 132 What is the sixth root of 176896 to the nearest integer? 7 What is 1524743 to the power of 1/3, to the nearest integer? 115 What is the cube root of 5621653 to the nearest integer? 178 What is the square root of 89917 to the nearest integer? 300 What is 468973 to the power of 1/2, to the nearest integer? 685 What is the cube root of 874499 to the nearest integer? 96 What is 147383 to the power of 1/10, to the nearest integer? 3 What is the square root of 7194610 to the nearest integer? 2682 What is 43778 to the power of 1/2, to the nearest integer? 209 What is the seventh root of 22024797 to the nearest integer? 11 What is the third root of 427386 to the nearest integer? 75 What is the square root of 260381 to the nearest integer? 510 What is 1544323 to the power of 1/3, to the nearest integer? 116 What is 34987 to the power of 1/3, to the nearest integer? 33 What is 2054638 to the power of 1/3, to the nearest integer? 127 What is 430423 to the power of 1/2, to the nearest integer? 656 What is the square root of 512131 to the nearest integer? 716 What is the square root of 1668363 to the nearest integer? 1292 What is the cube root of 608194 to the nearest integer? 85 What is the cube root of 624275 to the nearest integer? 85 What is the fourth root of 10162121 to the nearest integer? 56 What is the cube root of 1033962 to the nearest integer? 101 What is 2042354 to the power of 1/2, to the nearest integer? 1429 What is 410233 to the power of 1/2, to the nearest integer? 640 What is the square root of 445467 to the nearest integer? 667 What is 528229 to the power of 1/3, to the nearest integer? 81 What is 918503 to the power of 1/4, to the nearest integer? 31 What is the cube root of 18811553 to the nearest integer? 266 What is 589677 to the power of 1/6, to the nearest integer? 9 What is 469464 to the power of 1/3, to the nearest integer? 78 What is 246901 to the power of 1/4, to the nearest integer? 22 What is 83103 to the power of 1/4, to the nearest integer? 17 What is the eighth root of 87229 to the nearest integer? 4 What is the third root of 344322 to the nearest integer? 70 What is the cube root of 132253 to the nearest integer? 51 What is 74117 to the power of 1/3, to the nearest integer? 42 What is 2810523 to the power of 1/9, to the nearest integer? 5 What is the seventh root of 3827410 to the nearest integer? 9 What is 5661672 to the power of 1/2, to the nearest integer? 2379 What is the third root of 523957 to the nearest integer? 81 What is the sixth root of 2129244 to the nearest integer? 11 What is 28529064 to the power of 1/6, to the nearest integer? 17 What is the square root of 102567 to the nearest integer? 320 What is the square root of 172022 to the nearest integer? 415 What is 248284 to the power of 1/2, to the nearest integer? 498 What is 500026 to the power of 1/4, to the nearest integer? 27 What is the fifth root of 11953289 to the nearest integer? 26 What is 8202626 to the power of 1/2, to the nearest integer? 2864 What is the third root of 14401513 to the nearest integer? 243 What is the square root of 3000608 to the nearest integer? 1732 What is the fourth root of 1200052 to the nearest integer? 33 What is 207234 to the power of 1/3, to the nearest integer? 59 What is the fourth root of 9742068 to the nearest integer? 56 What is the square root of 492224 to the nearest integer? 702 What is 28365 to the power of 1/2, to the nearest integer? 168 What is 313210 to the power of 1/7, to the nearest integer? 6 What is the seventh root of 123125 to the nearest integer? 5 What is the cube root of 3379134 to the nearest integer? 150 What is the fifth root of 395403 to the nearest integer? 13 What is the tenth root of 813890 to the nearest integer? 4 What is 4973865 to the power of 1/3, to the nearest integer? 171 What is the square root of 232191 to the nearest integer? 482 What is 3939485 to the power of 1/3, to the nearest integer? 158 What is the cube root of 19342801 to the nearest integer? 268 What is the third root of 131525 to the nearest integer? 51 What is the fifth root of 49294 to the nearest integer? 9 What is the eighth root of 75779 to the nearest integer? 4 What is the cube root of 5814167 to the nearest integer? 180 What is 99780 to the power of 1/5, to the nearest integer? 10 What is the third root of 6390 to the nearest integer? 19 What is 9718807 to the power of 1/2, to the nearest integer? 3118 What is the fourth root of 3526472 to the nearest integer? 43 What is the fifth root of 348989 to the nearest integer? 13 What is 21130749 to the power of 1/2, to the nearest integer? 4597 What is the ninth root of 4534208 to the nearest integer? 5 What is the square root of 19901783 to the nearest integer? 4461 What is 1802771 to the power of 1/3, to the nearest integer? 122 What is 57779 to the power of 1/4, to the nearest integer? 16 What is 30112150 to the power of 1/2, to the nearest integer? 5487 What is 849519 to the power of 1/7, to the nearest integer? 7 What is the cube root of 815541 to the nearest integer? 93 What is the third root of 3107943 to the nearest integer? 146 What is 287131 to the power of 1/7, to the nearest integer? 6 What is 6586444 to the power of 1/3, to the nearest integer? 187 What is 688596 to the power of 1/2, to the nearest integer? 830 What is 3543210 to the power of 1/2, to the nearest integer? 1882 What is 3044663 to the power of 1/2, to the nearest integer? 1745 What is the seventh root of 3580251 to the nearest integer? 9 What is the tenth root of 161529 to the nearest integer? 3 What is 7149089 to the power of 1/2, to the nearest integer? 2674 What is the cube root of 242698 to the nearest integer? 62 What is the square root of 1201399 to the nearest integer? 1096 What is 704363 to the power of 1/5, to the nearest integer? 15 What is the square root of 221293 to the nearest integer? 470 What is the tenth root of 2658015 to the nearest integer? 4 What is the tenth root of 19460 to the nearest integer? 3 What is the eighth root of 873574 to the nearest integer? 6 What is 5395330 to the power of 1/3, to the nearest integer? 175 What is 550137 to the power of 1/4, to the nearest integer? 27 What is 1999338 to the power of 1/4, to the nearest integer? 38 What is the fourth root of 4049526 to the nearest integer? 45 What is the ninth root of 7946403 to the nearest integer? 6 What is the sixth root of 2573679 to the nearest integer? 12 What is 1208477 to the power of 1/8, to the nearest integer? 6 What is the cube root of 986697 to the nearest integer? 100 What is the cube root of 13157522 to the nearest integer? 236 What is 4005973 to the power of 1/5, to the nearest integer? 21 What is 2008076 to the power of 1/3, to the nearest integer? 126 What is the third root of 585069 to the nearest integer? 84 What is 527306 to the power of 1/2, to the nearest integer? 726 What is 1844555 to the power of 1/3, to the nearest integer? 123 What is the tenth root of 1642111 to the nearest integer? 4 What is the square root of 23449502 to the nearest integer? 4842 What is 1108979 to the power of 1/2, to the nearest integer? 1053 What is 303646 to the power of 1/8, to the nearest integer? 5 What is 24726 to the power of 1/6, to the nearest integer? 5 What is 3152632 to the power of 1/2, to the nearest integer? 1776 What is 1189164 to the power of 1/9, to the nearest integer? 5 What is the cube root of 1510488 to the nearest integer? 115 What is the square root of 1406942 to the nearest integer? 1186 What is the cube root of 787334 to the nearest integer? 92 What is the fourth root of 1175875 to the nearest integer? 33 What is 9117083 to the power of 1/6, to the nearest integer? 14 What is the eighth r
{ "pile_set_name": "DM Mathematics" }
lify (-3*sqrt(102)*-3)/(2*sqrt(96)). 9*sqrt(17)/8 Simplify (sqrt(567)*1*3*-6)**2. 183708 Simplify -5 + ((sqrt(2) - (3 + -4*sqrt(2) + sqrt(2))) + -3)**2. -48*sqrt(2) + 63 Simplify (-6*(3*sqrt(39)/sqrt(3) - sqrt(13) - (sqrt(117) + -3)))**2. -216*sqrt(13) + 792 Simplify sqrt(6)/((5*sqrt(18))/sqrt(9)) + -2. -2 + sqrt(3)/5 Simplify (sqrt(4)/(-1*(sqrt(6)/sqrt(3) - sqrt(2)) + sqrt(2)))**2. 2 Simplify (1 + sqrt(99))**2 + sqrt(88)/(3*sqrt(8)). 19*sqrt(11)/3 + 100 Simplify (-1*sqrt(13))**2 + 4 - -6*(sqrt(13) + sqrt(13)*-1)**2. 17 Simplify (-5 + sqrt(325)*1 + -3)**2. -80*sqrt(13) + 389 Simplify sqrt(12)/((sqrt(44) - sqrt(1100))/sqrt(11)). -sqrt(3)/4 Simplify 1 + sqrt(475)*4. 1 + 20*sqrt(19) Simplify (sqrt(143) - -6*(1*sqrt(143) + sqrt(143)))/sqrt(11). 13*sqrt(13) Simplify (sqrt(30)/((3*sqrt(48))/sqrt(8)))**2. 5/9 Simplify (sqrt(114)*2*2)/((sqrt(66) + (sqrt(66) + sqrt(66)*1 - sqrt(66)))/sqrt(11)) + 2. 2 + 2*sqrt(19) Simplify ((sqrt(30) - 1*sqrt(1920))/sqrt(10))**2 - (1 + (sqrt(3) + sqrt(3) + sqrt(3)*-2 - sqrt(3)) + -5). sqrt(3) + 151 Simplify ((sqrt(209) - -1*sqrt(209))*3)/sqrt(11). 6*sqrt(19) Simplify 4 + 1 + -3 + sqrt(5). 2 + sqrt(5) Simplify (3 + sqrt(17) + -2)*5. 5 + 5*sqrt(17) Simplify 0 + sqrt(637)*2. 14*sqrt(13) Simplify sqrt(7)*-2*-5 + -4. -4 + 10*sqrt(7) Simplify sqrt(19) + sqrt(19)*-2 + -2 + 5. -sqrt(19) + 3 Simplify 5 + (((sqrt(104) - (sqrt(104)*1 + sqrt(104))) + sqrt(104))*-3 + sqrt(104))/sqrt(8) + -4. 1 + sqrt(13) Simplify sqrt(49)/(sqrt(21)/sqrt(147) + sqrt(7)). 7*sqrt(7)/8 Simplify (sqrt(272) + (-3 + (sqrt(272) - (sqrt(272) + 2)) - sqrt(272)))**2 - sqrt(272). -4*sqrt(17) + 25 Simplify (sqrt(3) - (sqrt(27) - sqrt(3))*5) + 1. -9*sqrt(3) + 1 Simplify 5*-6*(sqrt(1300) + -1)*-6. -180 + 1800*sqrt(13) Simplify -4 + (sqrt(425) - (sqrt(425) - (sqrt(425) + 0))**2). -4 + 5*sqrt(17) Simplify (sqrt(15) + sqrt(270)/sqrt(2))/(sqrt(605) + (sqrt(605) - 3*sqrt(605)) + sqrt(5)). -2*sqrt(3)/5 Simplify -5 + 2*sqrt(1053)*-5. -90*sqrt(13) - 5 Simplify (sqrt(24) + -4*(sqrt(48)/sqrt(2) - sqrt(24)))/(-1*sqrt(32)/sqrt(4)). -sqrt(3) Simplify (sqrt(475) - (sqrt(475) + 0))**2*3. 0 Simplify 0 + sqrt(65)/(2*sqrt(125) - sqrt(125)). sqrt(13)/5 Simplify (-5*6*sqrt(3)*-2)**2. 10800 Simplify (-6*((5*(0 + sqrt(3)) - sqrt(3)) + -2))**2. -576*sqrt(3) + 1872 Simplify (sqrt(175)*-2 + sqrt(14)/(sqrt(6)/sqrt(3)))**2. 567 Simplify 5 + (4 + sqrt(1100) + sqrt(1100)*1)**2. 160*sqrt(11) + 4421 Simplify ((sqrt(56) - (1*sqrt(896) - sqrt(896)))/sqrt(8))**2 + -5. 2 Simplify 2 + (sqrt(128) + -4 + 1)**2. -48*sqrt(2) + 139 Simplify (-5*-4*sqrt(384) + sqrt(384) - sqrt(384))/sqrt(12). 80*sqrt(2) Simplify -1 + sqrt(1216) + 3 + sqrt(19) + 0 + 1 + sqrt(19) + (sqrt(19) - (sqrt(171)*-2 - sqrt(171))/sqrt(9)). 3 + 14*sqrt(19) Simplify -2 + (1*(sqrt(1573) + sqrt(1573)*1)*-1)**2. 6290 Simplify (3*1*sqrt(1008))**2 + 3. 9075 Simplify sqrt(77)/sqrt(112) + -3. -3 + sqrt(11)/4 Simplify (sqrt(190)/(1*sqrt(640)))**2. 19/64 Simplify (sqrt(243) + (1*sqrt(243) - sqrt(243))*-5 + sqrt(243))**2 + -1*sqrt(243)*2. -18*sqrt(3) + 972 Simplify (-5*1*sqrt(1216))**2. 30400 Simplify (-2*-1*sqrt(85))/((sqrt(25) - sqrt(25)*-1)/sqrt(5)). sqrt(17) Simplify (sqrt(13) + 2 + 3*sqrt(13) + sqrt(13))**2 - (4 + (sqrt(13)*3)**2). 20*sqrt(13) + 208 Simplify -4 + 4*((sqrt(110) + sqrt(110)*1)*-4)/sqrt(10). -32*sqrt(11) - 4 Simplify sqrt(20) + -2 + sqrt(20) + 0. -2 + 4*sqrt(5) Simplify (6*sqrt(432))/(-6*(sqrt(36)/sqrt(4) + sqrt(9))). -2*sqrt(3) Simplify (sqrt(35)*1*-2)/((sqrt(70) + -2*sqrt(70))/sqrt(10)). 2*sqrt(5) Simplify ((sqrt(216)*-2)/(sqrt(18)/sqrt(36)))**2. 1728 Simplify 5 + (sqrt(187)*1)/sqrt(11). sqrt(17) + 5 Simplify ((-1 + sqrt(180))*-3 + sqrt(180)*-1 + -2)**2. -48*sqrt(5) + 2881 Simplify (-2*sqrt(77)*2)/(sqrt(63)/sqrt(36) + sqrt(7)). -8*sqrt(11)/3 Simplify (3*(-1 + sqrt(832)))**2. -144*sqrt(13) + 7497 Simplify (2 + sqrt(98)*2)**2 + (3 + 1*sqrt(98))**2 + sqrt(98) + -4. 105*sqrt(2) + 499 Simplify (4*2*sqrt(14)/sqrt(7)*2)**2. 512 Simplify -5 + (sqrt(135)/sqrt(20) - sqrt(27))/sqrt(9). -5 - sqrt(3)/2 Simplify ((sqrt(117))**2 - sqrt(13))*3*3. -9*sqrt(13) + 1053 Simplify ((2*sqrt(104) + sqrt(104))*6)/(-5*-1*sqrt(8)). 18*sqrt(13)/5 Simplify (sqrt(272) + 0)**2 + 5. 277 Simplify (sqrt(68)/(6*(3*sqrt(4) + sqrt(4))))**2 + -2. -1135/576 Simplify -4*-5*sqrt(28)*2. 80*sqrt(7) Simplify 6*(sqrt(12) - sqrt(48))/sqrt(6). -6*sqrt(2) Simplify (-4 + -2*sqrt(2736))**2. 192*sqrt(19) + 10960 Simplify -5*sqrt(44)*1. -10*sqrt(11) Simplify sqrt(405) + -1 + -5 + (sqrt(5) - sqrt(25)/sqrt(5)). -6 + 9*sqrt(5) Simplify -5*(1*(sqrt(143) - ((sqrt(143) - (sqrt(143)*2 + sqrt(143))) + sqrt(143))))/((2*sqrt(110))/sqrt(10)). -5*sqrt(13) Simplify (-3 + sqrt(11) + 0 - -1*sqrt(275))**2. -36*sqrt(11) + 405 Simplify -2*(sqrt(833) + 2). -14*sqrt(17) - 4 Simplify (6*(-1 + sqrt(19) - sqrt(19))*3*3)**2. 2916 Simplify sqrt(833) + (sqrt(833) - (2*sqrt(833) + 0 - sqrt(833)))**2 + (-1*sqrt(833))**2*-5. -4165 + 7*sqrt(17) Simplify sqrt(143)/(sqrt(11) + -2*sqrt(396)) + (sqrt(468))**2 + (sqrt(104)*-1 - sqrt(104))/sqrt(8). -23*sqrt(13)/11 + 468 Simplify 6*(sqrt(704) + sqrt(704)*2)*-1. -144*sqrt(11) Simplify (sqrt(2) + sqrt(18) + 5)**2 - (sqrt(8) + 1 - sqrt(2)). 39*sqrt(2) + 56 Simplify sqrt(468)/sqrt(81). 2*sqrt(13)/3 Simplify ((-1*sqrt(320) - sqrt(320)) + -5)**2 - (-2*sqrt(320) + sqrt(320) + sqrt(320) + 1)**2. 160*sqrt(5) + 1304 Simplify 1*sqrt(288) - (0 + -2 + sqrt(2) + sqrt(2)). 2 + 10*sqrt(2) Simplify (sqrt(99)/(sqrt(63)/(sqrt(14)/sqrt(2))))**2*2. 22 Simplify ((sqrt(192) - -5*(sqrt(192) + 1*sqrt(192))) + 2)**2. 352*sqrt(3) + 23236 Simplify 4 + -4*(sqrt(605) + 1) + sqrt(605) + 0. -33*sqrt(5) Simplify sqrt(300) + 2*sqrt(300) + 2 + 1. 3 + 30*sqrt(3) Simplify sqrt(7) + sqrt(7) + 5*-1*sqrt(7) + (sqrt(7) - (-2 + sqrt(7) + sqrt(63))). -6*sqrt(7) + 2 Simplify -5*(sqrt(243) - (-1*sqrt(243))**2). -45*sqrt(3) + 1215 Simplify ((sqrt(2299) - (2*sqrt(2299) - sqrt(2299)))*-6)**2. 0 Simplify (sqrt(432) + sqrt(432)*1)/(sqrt(24)/sqrt(4)*-4). -3*sqrt(2) Simplify (sqrt(30)/sqrt(490) - (sqrt(3) + -5 + sqrt(27)))**2. -270*sqrt(3)/7 + 3412/49 Simplify ((-2 + sqrt(242) + sqrt(242))*-3)**2 + 5. -792*sqrt(2) + 8753 Simplify 2*sqrt(13)*1*2. 4*sqrt(13) Simplify -5 + 4 + -1 + sqrt(128). -2 + 8*sqrt(2) Simplify -4*(sqrt(7) + 1) - (2 + (sqrt(7) - (sqrt(7) + sqrt(7)*1))). -3*sqrt(7) - 6 Simplify 1*sqrt(700) - (3 + sqrt(77)/(sqrt(11) - (sqrt(11) - sqrt(33)/sqrt(3)))). -3 + 9*sqrt(7) Simplify (sqrt(19) - -5*sqrt(1216)) + sqrt(304) + 0. 45*sqrt(19) Simplify -1*(-2*sqrt(7)*-1)**2 + 2. -26 Simplify (-5*-5*(sqrt(891) + -1 - sqrt(891)))**2. 625 Simplify (0 + (sqrt(7) - (sqrt(7) - (1 + sqrt(7)))) + (-5*sqrt(7)*2)**2)*-1. -701 - sqrt(7) Simplify ((sqrt(24) + sqrt(6))*-3)/(sqrt(3) - (sqrt(147) - -2*sqrt(147))). 9*sqrt(2)/20 Simplify (4*2*sqrt(539))**2. 34496 Simplify (-1*(sqrt(1300) + sqrt(1300)*-1 + sqrt(1300)) + sqrt(1300))**2. 0 Simplify sqrt(931) + 1 + -4. -3 + 7*sqrt(19) Simplify ((sqrt(12) - ((sqrt(192) + sqrt(12))*1 - sqrt(12)))/(sqrt(144)/sqrt(4)))**2. 3 Simplify sqrt(12)/sqrt(4)*-5 + (0 + sqrt(3) + -1)**2. -7*sqrt(3) + 4 Simplify (-3*sqrt(20)*3)/sqrt(4). -9*sqrt(5) Simplify (4 + (sqrt(2) - (2 + sqrt(2))) + 3*(-3 + sqrt(2)))**2. -42*sqrt(2) + 67 Simplify (3 + 2 + sqrt(468) + 3)**2. 96*sqrt(13) + 532 Simplify (sqrt(17)*-1)**2 + -2 + 2. 17 Simplify ((sqrt(15) + sqrt(75)/sqrt(5))*-3)/(sqrt(3)*-3*-4). -sqrt(5)/2 Simplify (-4 + sqrt(3) + sqrt(36)/sqrt(3) + 0)**2 + -2. -24*sqrt(3) + 41 Simplify (sqrt(3) + 0)*3 - (sqrt(147)*1)**2. -147 + 3*sqrt(3) Simplify 5 + (-5*sqrt(22)/sqrt(11))**2 + 1. 56 Simplify (1 + -1*sqrt(13))**2 + 6*(0 + sqrt(13))**2. -2*sqrt(13) + 92 Simplify sqrt(21)/(sqrt(7) - (sqrt(7) - (sqrt(7) - (sqrt(112) - sqrt(112)*2)))). sqrt(3)/5 Simplify (0 + sqrt(1377)*-3)**2*-2. -24786 Simplify 4*((sqrt(112) - (0 + sqrt(112))**2) + -1 + 4). -436 + 16*sqrt(7) Simplify 3 + sqrt(832)*-1 - sqrt(832). -16*sqrt(13) + 3 Simplify (sqrt(243)*-1 - sqrt(243)) + 5 + -5. -18*sqrt(3) Simplify (sqrt(648) + -2*sqrt(648))/(sqrt(99)/sqrt(44)). -12*sqrt(2) Simplify sqrt(75)*1 + 0 + sqrt(75). 10*sqrt(3) Simplify -1 + sqrt(117) + -1. -2 + 3*sqrt(13) Simplify 4 + 1 + sqrt(539) + 4. 9 + 7*sqrt(11) Simplify (sqrt(720))**2 + -6*sqrt(20)/sqrt(4). -6*sqrt(5) + 720 Simplify (4*(0 + (sqrt(38)/sqrt(2) - sqrt(19))*1))**2. 0 Simplify 2*sqrt(
{ "pile_set_name": "DM Mathematics" }
What is the nearest to -10 in 0.78, -1/9, 14? -1/9 Which is the closest to -0.1? (a) 0.2 (b) 1 (c) 76/5 (d) -1/2 a Which is the nearest to 0.1? (a) 2 (b) -4 (c) 1/3 (d) -208 (e) -13.6 c What is the nearest to 18 in 0.2, 2, -10/1193? 2 Which is the closest to -23? (a) -3 (b) 9 (c) 0.047 a What is the closest to -3 in 13, -11, -0.4? -0.4 Which is the nearest to -2/3? (a) 0.13 (b) 2/89 (c) -2/7 (d) 0.2 c What is the nearest to 477 in 0.2, 31, 1? 31 Which is the closest to 285/13? (a) -4 (b) -0.1 (c) -5 (d) -3 b What is the closest to -1/8 in 3, -1, 5, 188? -1 What is the nearest to -9 in -4, -0.292, 0.3, 2/3? -4 What is the closest to -0.0096 in -1, -1.1, 10? -1 Which is the nearest to 5? (a) 2 (b) -3/7 (c) -5 (d) 9914 a What is the nearest to -1/2 in 1/4, -1.9, 1.6, 6, 1/3? 1/4 Which is the nearest to -1/2? (a) 0.3 (b) -5 (c) 7/34 (d) -240 c What is the nearest to 621 in -1/11, -0.2, 5/4, -2? 5/4 Which is the nearest to 1806? (a) -1 (b) 1 (c) 1/6 (d) -1/5 b What is the nearest to -10 in 0.2, -0.4, 212/3? -0.4 Which is the nearest to -767.3? (a) 1/2 (b) 5 (c) 10 (d) 4 a Which is the closest to -0.14? (a) -17 (b) -3 (c) -22 (d) 3 b Which is the nearest to -34? (a) -571/4 (b) -1/3 (c) -1 c What is the nearest to 3/4 in 0.1, 12/5, 4/5, 9? 4/5 What is the closest to 30 in -2, 10, 4, -7? 10 Which is the nearest to -2/121? (a) -1/2 (b) 2 (c) -0.0396 (d) 0.2 c Which is the nearest to -1/2? (a) -3/1286 (b) -0.2 (c) -4 (d) -3/5 d What is the closest to 2/9 in 3, -9/13, -5, -14/5, 2/23? 2/23 Which is the nearest to 13? (a) 0.02 (b) 160 (c) -1 a Which is the closest to -376? (a) -1/4 (b) -3 (c) 0 (d) 0.126 b Which is the nearest to 3? (a) -67 (b) -694/3 (c) -3/4 c Which is the nearest to 0.05? (a) 3 (b) 0.1 (c) -1 (d) -0.034 b What is the closest to 130 in -2, 2.1, 2? 2.1 What is the nearest to -0.04 in 0.3, 36, 4? 0.3 What is the nearest to 5428 in 0.4, -22, -2? 0.4 What is the closest to -10 in -2.2, -8, 2/5, 4/5? -8 What is the nearest to -1/4 in 1, 5, -1, -27, 20? -1 Which is the closest to 2/3? (a) -5 (b) 952 (c) 0.5 (d) -0.1 c What is the nearest to 4 in -16, -0.04, -5/4, 1/3? 1/3 What is the closest to 2 in -2/5, 4, -6487? 4 What is the nearest to -1 in -3/7, -0.4, -660? -3/7 What is the closest to -3 in 39, 45, -0.3? -0.3 Which is the nearest to 2/7? (a) -18/7 (b) -20 (c) -2 (d) 1 d Which is the nearest to 54? (a) 122 (b) 1/5 (c) 1 c Which is the nearest to -10632? (a) -1 (b) -5 (c) 0.1 (d) 0.5 b What is the closest to 1/8 in -2/3, 2.3, -10/7, 0.1, 3? 0.1 What is the nearest to -1/16 in -3/67, 6, 2? -3/67 Which is the closest to -0.1? (a) 1/2 (b) -3 (c) -2 (d) -2/37 (e) -0.1 e Which is the closest to 1/5? (a) -0.1 (b) 3/8 (c) -0.2 (d) -0.5 (e) 11 b What is the nearest to 1/17 in 2/3, 1.1, 23, 1/7, 1? 1/7 What is the nearest to -0.3 in 3/7, 4/7, 5, 0.0392? 0.0392 What is the nearest to 2/205 in 2/13, 0.04, -2? 0.04 Which is the nearest to 1? (a) 0.2 (b) 16 (c) -35 a Which is the closest to 0.1? (a) 3 (b) -0.3 (c) 3/5 (d) -0.2272 (e) -2/15 e What is the closest to 30/17 in 2/5, -1/4, -3.8, 3? 3 Which is the nearest to 0.1? (a) 1/5 (b) 0.059 (c) 1 (d) 7 (e) 0.08 e What is the nearest to 1 in -252, 0.4, 0.5, -5, 8? 0.5 Which is the nearest to -2/16993? (a) 0 (b) 4 (c) 0.01 a What is the closest to -1 in -19.01, -3/7, -0.1, -5? -3/7 Which is the closest to 0.3? (a) 2/45 (b) -0.4 (c) -1 a Which is the nearest to -3? (a) 36 (b) 0.5 (c) 10/13 (d) 0.1 (e) 0.4 d Which is the nearest to -3? (a) 1/8 (b) -112 (c) 30 (d) 0.1 d What is the closest to 2 in 0.5, -0.9, 0, -2.6? 0.5 Which is the closest to 3? (a) 130 (b) 1 (c) 3/2 (d) -0.5 c What is the nearest to 1/3 in 0.1, 0.1268, -3.6? 0.1268 What is the closest to -2 in -6, -0.4, -86, 1/2? -0.4 Which is the closest to 2? (a) 2/81 (b) 2 (c) 15.9 (d) -0.3 b What is the closest to 0.01 in -2/17, 4, 1.5, 2/35? 2/35 Which is the closest to 1.1? (a) 21 (b) 23 (c) -0.4 c What is the nearest to -0.2 in -44/3, -0.3, 1/6? -0.3 What is the nearest to -0.2 in 2/17, 41/6, -27/4? 2/17 What is the nearest to 1/3 in 0, 54, -0.26, 5/4, 1? 0 Which is the closest to -65? (a) -0.5 (b) 5/24 (c) -3/4 (d) 5 (e) 0.1 c What is the nearest to -41/5 in 3/4, 7, 3/7? 3/7 Which is the closest to 0.0068? (a) 1.2 (b) 1/7 (c) 0.2 (d) 4/7 b What is the nearest to 2 in 3, 0.4, -0.51, 2/19? 3 Which is the closest to 7? (a) 0.4 (b) 86/5 (c) 3 (d) 0 (e) -1 c What is the nearest to -0.6 in -7, 0.17, 35? 0.17 Which is the closest to 2/7? (a) 0.86 (b) 11 (c) 0.2 (d) 2/3 c Which is the nearest to -2? (a) -2 (b) 22 (c) -1 (d) 34 (e) 0.8 a What is the nearest to 53/3 in -46, 4/7, -0.5, -11? 4/7 Which is the closest to -0.1? (a) -106 (b) -9 (c) -16 b Which is the nearest to 0.007? (a) -2 (b) 1 (c) -1.99 b What is the closest to 0.9 in 3, -0.1, -2, 10, 0.1? 0.1 Which is the nearest to 11/4? (a) -35 (b) -2 (c) -1 c What is the closest to -0.31 in 1/4, 262, 0.3, -0.5? -0.5 Which is the closest to -4? (a) 49.3 (b) -5 (c) 2 (d) 5 (e) -4 e Which is the closest to 1? (a) -0.02588 (b) 0 (c) -0.6 b What is the nearest to 14 in -0.1, 1/3, 33, -0.4, 0.1? 1/3 What is the closest to 0.1 in 2/7, -2101, 1/2, -3? 2/7 Which is the nearest to -287/25? (a) 1 (b) -1/2 (c) -0.3 (d) -4 d What is the closest to -2/3 in 0, 1126, 2/5, -9? 0 What is the closest to -0.2 in 0, -5, 4/9, -2, 3162? 0 Which is the nearest to -7/5? (a) 2/17 (b) 1 (c) 6/23 (d) -2/17 d What is the nearest to -14/5 in -0.3, 5, -2/87, -2/7, -1/3? -1/3 Which is the closest to 2/3? (a) -2/7 (b) 273 (c) -4/7 a What is the nearest to 1/4 in -6/65, -5922, 0.5? 0.5 Which is the nearest to 3? (a) -2/9 (b) 1 (c) -3/47 (d) 0.16 b What is the closest to 44 in -5/3, 6, 0.2, 3, -2? 6 Which is the closest to 0? (a) -0.4 (b) -20 (c) 0 (d) -41 c What is the closest to -3 in 3/4, -2/9, 0.09, -2, 2/3? -2 What is the nearest to -4 in -5, 315, 12, -2/3? -5 Which is the closest to 0.019? (a) -2/17 (b) 53 (c) 1/4 (d) -0.1 d Which is the nearest to 7? (a) -5 (b) -1 (c) 23 (d) -2/37 (e) -4 d What is the closest to 0 in -3, -56, 3/11? 3/11 What is the closest to 2/27 in -5, 0.167, 4/7? 0.167 What is the closest to 1 in 3, -2/29, 6/13, 0.05, -5? 6/13 What is the closest to -1 in -0.4, -1/10069, 0.3? -0.4 What is the closest to -7 in 1, -70, 2/5, 0.67? 2/5 What is the closest to 5 in 4, -4/215, -22? 4 What is the nearest to -0.1 in 2/3, -2/5037, -4? -2/5037 Which is the closest to -1/2? (a) 0.4 (b) -4 (c) -1 (d) -11/3 (e) -0.06 e What is the closest to -2 in 17, 0.5, 157? 0.5 What is the nearest to 1/3 in 21/13, 5.2, 5? 21/13 Which is the nearest to 31? (a) -0.2 (b) -2/3 (c) -1 (d) 0 (e) -1/7 d Which is the closest to 145? (a) 0.19 (b) -3/11 (c) -1.3 a What is the nearest to 1 in 4/7, 0.022, 2422? 4/7 What is the nearest to -7 in 5, 1/4, 810? 1/4 Which is the nearest to 0.1? (a) -6 (b) 3/7 (c) 27 (d) 1 (e) -39 b Which is the nearest to -0.2? (a) -1.2 (b) -3 (c) -3/8 (d) -8.7 c Which is the closest to 0? (a) 0 (b) 42/5 (c) -2 (d) 5 a What is the nearest to -2/3 in -12/13, -0.4, 0.029, -1? -12/13 Which is the nearest to 8? (a) -6 (b) -0.2 (c) -167 (d) -4 (e) -2/5 b What is the nearest to -0.8 in 1, -14, 1/11, 2? 1/11 Which is the nearest to 2/11? (a) 3 (b) 2/3 (c) 1023 b What is the closest to 0.1 in -2, 1059, 2/3, -0.5? 2/3 What is the closest to 0.2 in 4, 17, 1/2, -686? 1/2 Which is the closest to 2/5? (a) 3/5 (b) 2/7 (c) 0.3 (d) -0.4 (e) 15 c What is the closest to 5 in 5, 0.2135, -1? 5 Which is the closest to -0.1? (a) 0.642 (b) -10.1 (c) 3 a What is the closest to -0.2803 in 0, 0.03, -2, -0.3? -0.3 Which is the closest to 70? (a) 2 (b) 248 (c) -2 a What is the nearest to 2 in -0.3, -4, 0.26, 1/8, 0? 0.26 Which is the closest to 0? (a) 0 (b) -0.6 (c) -436 (d) -1 a What is the nearest to 12 in 2.81, -4, -2, 24? 2.81 Which is the nearest to -4? (a) 0.3 (b) 619 (c) -2 c Which is the closest to -1? (a) 0.9 (b) 527 (c) -3 (d) -3/2 d Which is the nearest to 0? (a) -1/4 (b) -0.5 (c) -4 (d) 3693.9 a Which is the nearest to 0.2? (a) 0.3 (b) -4 (c) -104 (d) -3 a What is the nearest
{ "pile_set_name": "DM Mathematics" }
*l**2 - 418*l**2 + 81328*l**2 + 39519*l**2 - 14. Let p be b(z). Round p to the nearest 1000000. 9000000 Suppose 2*y + 4*s - 6 - 22 = 0, 5*s - 37 = -3*y. Suppose 3*x - 2*q - q = -1263, -y*x - 1684 = q. Round x to the nearest 10. -420 Let b = 49.8 - 143.72. Let y = b + 92. What is y rounded to one dp? -1.9 Let s = 25.4 - 3.4. Let l = -1179454.6800012 - -1179476.68. Let q = l - s. Round q to 6 dps. -0.000001 Suppose 3*b = 35*s - 38*s - 1440309, -3*s = -5*b + 1440285. Round s to the nearest 10000. -480000 Let m be (-3)/2*(-336)/36. Let b = -9 + m. Let a be 3/b + 3/(-5). Round a to 4 decimal places. 0 Let p = 594496799.765124 - 221829765.764993. Let m = p - 372667228. Let u = 194 + m. What is u rounded to five decimal places? 0.00013 Let y = -11.5 + 0.5. Let a = 11.0346 - 0.0546. Let n = y + a. What is n rounded to 1 decimal place? 0 Suppose -3*g + 1047580 = -4*a, 4*a - 5*a - 4*g = 261914. Let q be 10/(-45) + a/9. Round q to the nearest ten thousand. -30000 Let k = -14 + 16. Suppose 5*m - 10 = 4*v, k*v + 23 = -v - 4*m. Let d be v/(-3)*(-98 - -11). Round d to the nearest ten. -150 Let t = 1.2402 + -1.21. Let l = 0.0553 - t. Round l to three dps. 0.025 Let w = 34 + -29. Suppose 5*i - 4*o - 20 = 0, -4*i - o - w = -0*o. Suppose -1989000 = 9*y - i*y. What is y rounded to the nearest 10000? -220000 Let q = -666.4 + 610. Round q to 0 dps. -56 Let l = 58230 - 58229.823564. Let t = -0.176 + l. What is t rounded to 4 decimal places? 0.0004 Suppose -4*l + 2*o + 8 = 0, -2*o + 4 = 2*l - o. Let n be (-250)/(l/4*-1). What is n rounded to the nearest 1000? 1000 Let z be 10/(-4) + (-23445)/6. What is z rounded to the nearest one thousand? -4000 Let q(r) be the first derivative of 29*r**2 - 6*r - 34. Let a be q(7). What is a rounded to the nearest ten thousand? 0 Let d = -2993704.17 + 3010187. Let y = d + -16416. Let h = y - 66. What is h rounded to 1 dp? 0.8 Let w = 0.0292 - 0.1936. Round w to three dps. -0.164 Let q = -470 - -496.52. Let a = -26 + q. Round a to 1 dp. 0.5 Let z = -0.594 - -72.114. Let m = z + -72. Round m to one decimal place. -0.5 Let m(h) = -11 - 1 - 201*h - 4. Let q be m(-11). Let r = q - 6795. Round r to the nearest one thousand. -5000 Let o = 9206.9 - 9204.90062. Let n = o - 2. What is n rounded to 4 dps? -0.0006 Let t = -124.5 - -124.49431. Round t to 3 decimal places. -0.006 Suppose 5*i - 4*x = -0*i - 602319, i = -3*x - 120479. Let h = i + 252467. Round h to the nearest 10000. 130000 Let k = -5191 + 3894.3. Round k to the nearest one hundred. -1300 Let r = 382557.9158 + -413183.70583. Let h = 30626 + r. Let u = h - 0.21. Round u to 5 decimal places. -0.00003 Let g be 17 + (5 - 16) - (0 + 77660006). What is g rounded to the nearest one million? -78000000 Let o = 58 - 58.23. Let z = 0.02 + o. Let k = 0.306 + z. Round k to 2 decimal places. 0.1 Let u = -559.9551 + 560. Let m = u + -2.2149. Let y = 2.1587 + m. What is y rounded to three dps? -0.011 Let k = -802.9997722 - -803. What is k rounded to five decimal places? 0.00023 Let v = 83 - 73. Let c = v - 10.000001. Round c to 4 dps. 0 Let f = -82.983 - -83. Let b = -5180 - -5187.583. Let j = f + b. What is j rounded to the nearest integer? 8 Suppose -15*n - 309272 + 90272 = 0. Round n to the nearest 10000. -10000 Let i = 3.78 - 1.668. Let d = 2 - i. Let f = d - 0. What is f rounded to 2 dps? -0.11 Suppose 5*c + 319 = k, -3*c - 193 = -0*k - k. Let m be c/18*(-8)/14. Suppose 2*n = -m*n - 800. Round n to the nearest one hundred. -200 Let s = 123 + -315. Let n = 192.0111 + s. What is n rounded to three decimal places? 0.011 Let c = 4588311 - 11468311. What is c rounded to the nearest 100000? -6900000 Let p(u) = 127999*u**3 + 5*u**2 + u - 5. Suppose 0 = -2*g + 4*g - 10. Let d be p(g). Round d to the nearest 1000000. 16000000 Let g(c) be the third derivative of -c**6/5 - c**5/60 - c**4/12 - 37*c**2. Suppose 2 = 2*l - 2. Let y be g(l). What is y rounded to the nearest ten? -200 Let d = 102.4 - 72.1. Let w = -588282.159683 + 588251.86. Let c = w + d. What is c rounded to five dps? 0.00032 Let k = -108.2 - -108.200113. Round k to 4 dps. 0.0001 Let h = -4.996 - -4.5. Round h to 1 dp. -0.5 Let u = 0.0447 - 1.8347. What is u rounded to 1 dp? -1.8 Let d = 3023691 - 31862531. Let g = d + 28838755.999901. Let p = g - -84. What is p rounded to 5 dps? -0.0001 Let h(m) = m**3 - 5*m**2 + 3*m + 4. Let g be h(4). Let p be (-940)/3*18/(-4). Suppose -r - p = -g*r. Round r to the nearest one hundred. -1400 Suppose -2*z = -5*p - 7*z + 15, -4*p = -4*z + 20. Let c be p*8750*240*1. What is c rounded to the nearest 1000000? -2000000 Let y(z) = 23087*z**2 + 79*z - 8. Let c be y(24). Round c to the nearest one million. 13000000 Let d = -1.784 - -1.78397953. Round d to seven decimal places. -0.0000205 Let d = -209.46 + 290.5. Let c = 20.8 - -62.2. Let x = c - d. Round x to one decimal place. 2 Let q(n) = -1841*n + 2. Let l be q(1). Let j = 2741 - l. Round j to the nearest 1000. 5000 Let r(s) = s**3 - 11*s**2 + 4*s - 16. Let y be r(11). Let b = y + -42. Round b to 0 decimal places. -14 Let f = 76 + -75.99471. What is f rounded to 3 decimal places? 0.005 Let l = -2529.7249909 - -2529.611. Let q = l - 0.3460561. Let a = -0.46 - q. What is a rounded to five decimal places? 0.00005 Let s = -0.09942 + 0.0994193719. Round s to seven decimal places. -0.0000006 Let k = -147.99642 - -148. Round k to four decimal places. 0.0036 Let q(a) = -309*a - 20. Let m be q(-10). Let h be (m/(-8))/(8/(-64)). What is h rounded to the nearest 100? 3100 Suppose -26*l + 12059994 = 3*u - 24*l, 2*l + 4020006 = u. Round u to the nearest 1000000. 4000000 Let g = -15 + 15.19. Let q = g - 0.189984. What is q rounded to 5 dps? 0.00002 Suppose -4*j + 6*i + 2039 = 5*i, i - 5 = 0. Suppose -2*k + 3129 + j = 0. What is k rounded to the nearest one hundred? 1800 Let n be (3 + (0 - 3))/1. Suppose 0 = y + 5*z + 8, z + z + 4 = n. Let r be (y + -99)*(-2 - -4). Round r to the nearest 10. -190 Suppose 0 = -48*n - 544 - 512. Round n to the nearest 10. -20 Let l = 0.01 + 24.99. Let r = 25.00017 - l. What is r rounded to 4 dps? 0.0002 Let g = 359.979 - 358. Let j = 1.86 - g. Round j to 2 decimal places. -0.12 Let k = 119934 - 120027.0165. Let s = k + 93. What is s rounded to two decimal places? -0.02 Let p(r) = -r**2 + 15*r + 6. Let g be p(15). Let d = -28 - g. Round d to zero decimal places. -34 Let n = -19 - -15. Let f = -9 + n. Let l = f + 12.9. What is l rounded to 1 decimal place? -0.1 Let i = 859.79 - 958.704. Let g = i + 99. Round g to 2 dps. 0.09 Let l = 0.163709 + -91518.163709. Let w = 91491.0099 + l. Let h = 27 + w. Round h to 3 dps. 0.01 Let w = 0.53 + -0.816. Let a = 0.084 - w. Let t = 1.42 - a. What is t rounded to 1 decimal place? 1.1 Let q = 2.02401881 - 2.024. What is q rounded to 6 dps? 0.000019 Let m = -1501.99998957 + 1502. Round m to 7 decimal places. 0.0000104 Let h be -3208989 - 12 - 7/(-7). Round h to the nearest 100000. -3200000 Suppose 4*c - 7717 = -3*d, 4*d = 2*c + 3*d - 3871. Round c to the nearest 100. 1900 Let p = 238 + -363. What is p rounded to the nearest ten? -130 Let y = 240 + -239.37. Let n = -1370 - -1378.43. Let t = n - y. Round t to zero decimal places. 8 Let i = 316.51658 - -19951415.48342. Let z = -19951722.9999985 + i. Let m = -9 + z. What is m rounded to six decimal places? 0.000002 Let t = 179 - 489. Round t to the nearest 100. -300 Let u = 182.3797 - 186.801071. Let s = u + 8.721405. Let o = s - 4.3. Round o to five dps. 0.00003 Let q(u) = -993*u - 21. Let i be q(3). Let t be i - 0*2/16*4. What is t rounded to the nearest one thousand? -3000 Let x = -2302 - -2301.99604. What is x rounded to four dps? -0.004 Let t = -25.466 - 6.244. Round t to the nearest integer. -32 Let r = -0.05 + 0.098. Let y = r - 0.0479. What is y rounded to five dps? 0.0001 Let p = -15 + -50. Let c be 100*(-5 + p)*20. Round c to the nearest one hundred thousand. -100000 Let q = -6 - -7.2. Let c = 1.065 - q. What is c rounded to 2 decimal places? -0.14 Let r = -1886 - -1886.0000001526. Round r to seven dps. 0.0000002 Let w = 0.017 - 0.287. Let i = w - -0.270000769. What is i rounded to seven dps? 0.0000008 Let o(y) = 299*y + 4. Suppose 4*s + s - 40 = 0. Suppose 2*a + s = 4*a. Let c be o(a). Round c to the nearest 100. 1200 Suppose 30 - 10 = 5*k, 0 = 2*y
{ "pile_set_name": "DM Mathematics" }
1 + 7. Let l = 3 - d. Put p, -4, l in increasing order. l, -4, p Let m = 9 - 5. Suppose -5*r = -16 - m. Suppose 0 = 5*i - 26*q + 30*q - 21, -4*i + 3*q = 8. Put i, r, -2 in descending order. r, i, -2 Let r = 3.9 - 0.9. Let g be 4 - (-225)/(-33) - -3. Put 5/2, r, g in increasing order. g, 5/2, r Let i(h) = h**3 - 3*h**2 - 1. Let s be i(2). Let q = 38 + -41. Let d(n) = n**3 + 3*n**2 - 2*n - 4. Let u be d(q). Sort s, u, -4 in decreasing order. u, -4, s Let u = -14 - -11.5. Let i = u + 2.1. Put 0.02, 0.1, i in increasing order. i, 0.02, 0.1 Let s = -24 + 26. Let v = -3.2 - -3. Let q = 0.7 + -0.4. Sort s, v, q in increasing order. v, q, s Let h = -33 + 37. Sort h, 3, 28. 3, h, 28 Suppose -5*z + 5*w - 5 = 0, z - 4*w - 4 = -z. Suppose -2*c = -30 - 16. Suppose 21*k = c*k + 4. Sort 2, z, k. z, k, 2 Let o(q) = 7*q - 85. Let d be o(13). Let b be (2/4)/(1/144). Let j be 19/d + (-12)/b. Sort j, -10, -3 in descending order. j, -3, -10 Let o(u) = -11*u - 98. Let j be o(-9). Put -4, -2, j in decreasing order. j, -2, -4 Let i = -1/14 - -4/7. Let j = -1613.6 + 1614. Sort j, -4, i in increasing order. -4, j, i Suppose -5*t = -3*t - 4. Let l be 9 + (1 - 4)/1. Suppose 0 = 2*u + t - l. Sort u, 0, -3 in descending order. u, 0, -3 Suppose -8 + 23 = -3*r. Let b = 10 - 19. Put b, r, -3, -4 in increasing order. b, r, -4, -3 Suppose -2*j = 68 + 56. Let m = j + 66. Put -2, 0.3, m, 1 in increasing order. -2, 0.3, 1, m Suppose -1135*w + 16 = -1127*w. Let a = 2.5 + -0.5. Let j = -1.8 + a. Sort w, j, 4. j, w, 4 Suppose 6*v = 3*v + 6. Sort 4, v, 10 in increasing order. v, 4, 10 Let s(x) = -x**3 - 2*x**2 - x - 1. Let p be s(-2). Let w = 1509 + -1507. Put p, -5, 0, w in decreasing order. w, p, 0, -5 Let o(n) = -2*n**2 - 35*n - 136. Let c be o(-12). Put -1/4, -49, c in decreasing order. -1/4, c, -49 Suppose 3*x + 0 + 22 = 2*o, 3*o = x + 19. Let u be (-14 - -13)/(-1*(-2)/(-6)). Suppose -11 = -u*h + 2*k, 3*k - 1 = h - 7. Put -3, o, h in decreasing order. o, h, -3 Suppose -4*u + 9 - 1 = -3*r, 0 = -3*r - 5*u + 37. Suppose -2*s = 2*b + 2, 3*s + r*b = 3 - 2. Let i = s + 4. Sort -0.4, i, 2/15 in descending order. 2/15, -0.4, i Suppose -67*v - 2220 = -7*v. Sort 0, 2, -3, v in decreasing order. 2, 0, -3, v Let i = -0.09 + -9.91. Let h = i - -9.8. Let r = -80 + 84. Sort h, -1, r in increasing order. -1, h, r Let c = 50.7 + -51. Let o = 2/101 - 105/202. Put 4, -3, o, c in ascending order. -3, o, c, 4 Let y(d) = -d**2 + 11*d - 26. Let j be y(6). Put -5, -3, j, -7 in decreasing order. j, -3, -5, -7 Let v(k) = k + 1. Let m be v(-1). Let t = 0.3 + -1.3. Let p = 5 + t. Put -5, p, m in descending order. p, m, -5 Suppose 2*f - 90 = -82. Put -2, -3, f in ascending order. -3, -2, f Let r be 6/3 + (0 - 3). Let q = r - 2. Let b(i) = i**2 + 5*i + 4. Let w be b(-3). Sort q, w, -5 in descending order. w, q, -5 Let i be 2/(-2)*15/(-3). Let m = 45 - 45.3. Put i, m, 1 in descending order. i, 1, m Suppose 7*a = -10*a + 34. Sort -3, -5, a, -23. -23, -5, -3, a Suppose 6*g - 2*g + 4 = 2*x, 5 = 5*g. Let a be 6/x*4/3. Sort -2, a, -6 in decreasing order. a, -2, -6 Let s(h) = -h**2 - h + 1. Let g be s(1). Let f = 633 + -637. Put f, 4, g, 6 in increasing order. f, g, 4, 6 Suppose 13*o = 11*o - 10. Let y be -3 + 4/(-16)*0. Sort -1, y, o in increasing order. o, y, -1 Let v = 40424/99 + -4494/11. Let r = -83/5 - -17. Sort v, r, -1/7 in descending order. r, -1/7, v Let c = -50 + 37. Let v = 9 + c. Put v, 5, 6 in increasing order. v, 5, 6 Let h(a) = a + 6. Let y be h(-3). Let k = -15 - -11. Let n = k - -2. Sort 2, y, n in descending order. y, 2, n Suppose 5*r = 10*r + 25. Suppose 0 = z - 1 - 3. Let i be 3/(1/((-4)/(-4))). Put r, z, i in decreasing order. z, i, r Let b = -2353 - -2353.2. Let t be (-4)/(-7) + 2/(-2). Put 8, b, t in decreasing order. 8, b, t Let z be (-46)/(-10) + (-27)/45. Suppose -z*c = c - 30. Let r be (2/12)/((-2)/c). Sort 0.2, r, 0.7 in descending order. 0.7, 0.2, r Let a = -1.5 - -12. Let j = -0.53 + -9.47. Let o = j + a. Put 5, o, -5/6 in descending order. 5, o, -5/6 Let r = 525.1 + -525. Let w = 0.19 + -0.01. Sort r, 0.2, 4, w. r, w, 0.2, 4 Suppose 2*r - 50 = 4*s, 6*r - 22 = 4*r - 3*s. Sort r, -3, 6 in descending order. r, 6, -3 Suppose -2*a = 2*m - 28, 5*m = 4*a + 10*m - 61. Suppose 3*h = a - 3. Let l be ((-1)/(-1))/((-2)/4). Put l, 4, h in decreasing order. 4, h, l Suppose 3*l - 3*i + 7*i = 8, -6 = -l + 2*i. Let v(u) = 4*u - 11. Let f be v(l). Sort f, 1, -5 in increasing order. -5, 1, f Let z = -28846 - -28895. Suppose -2*w + 4*c - 12 = 0, 35 = 5*c + 10. Put -3, -1, w, z in descending order. z, w, -1, -3 Let y = -25/2 + 11. Let r be 92/(-20) + 4/(-10). Put 2/9, -4, y, r in ascending order. r, -4, y, 2/9 Suppose 3*x = -d, 0 = -x - d + 8 - 10. Sort 248, x, 2, -3. -3, x, 2, 248 Let z = 124 - 119. Suppose -4*r + 17 = -5*v + 4*v, 2*v + 16 = 2*r. Sort z, v, -3, 4 in increasing order. v, -3, 4, z Let m = 164 - 159. Sort 0.4, 3, m in increasing order. 0.4, 3, m Suppose -5*c + 26 = 2*d, -4*d + 20 = -d - 2*c. Let h be 8 + -11 + 5 + 0. Suppose 0 = -4*o + 3*n + 11, d = 3*o + h*n - 13. Sort o, 2, -2 in descending order. o, 2, -2 Let s(i) = -i**2 - 47*i - 188. Let g be s(-5). Suppose 0 = -w + 5*q - 28, w - 4*w + q - 14 = 0. Sort g, w, -5, -4 in ascending order. -5, -4, w, g Suppose u = a - 2, 0*u = -3*u - 5*a + 26. Put u, -3, -2, 4 in decreasing order. 4, u, -2, -3 Let i(c) = 15*c**2 - 2*c + 2. Let b be i(4). Let l be (-42)/b - 6/39. Put 1/3, l, -0.3 in decreasing order. 1/3, -0.3, l Let m(x) = 20 - 4*x + 8*x - 2*x + 0*x. Let d be m(-13). Let j be (-4)/d*(-12)/(-16). Put 4, -3, j in descending order. 4, j, -3 Let d be (-3)/(-6 + 522/84). Put -1, d, -3 in decreasing order. -1, -3, d Suppose 0 = 5*r - 38 + 118. Let w = -31 + 15. Let t = r - w. Put t, 5, 1 in ascending order. t, 1, 5 Let y = -1 - -1. Suppose 5*w - 4*w + 1 = y. Put -5, -4, w in increasing order. -5, -4, w Let t(r) be the third derivative of r**4/24 + 7*r**3/6 - 29*r**2. Let f be t(-12). Sort f, 3, 4 in decreasing order. 4, 3, f Suppose 2*f + 3*h = -12, 0 = 55*f - 54*f + 4*h + 16. Sort f, 3, 0.4, -0.04. -0.04, f, 0.4, 3 Let v = 145 + -146.088. Let l = 0.088 + v. Let u = -1.5 + 1. Put 6, u, l in decreasing order. 6, u, l Let c = -36 - -33. Let h be ((-104)/(-24) - 7)/(2/c). Sort -5, 3, h in decreasing order. h, 3, -5 Let r = 209.3 + -209.8. Sort -1, 17.7, 5, r. -1, r, 5, 17.7 Suppose -3 + 1 = g. Let s = 20 - 33. Let i = s - -18. Sort g, i, 0.3 in decreasing order. i, 0.3, g Let m(k) = k - 23. Let d be m(19). Let b be 27/(-60)*d/3. Let r be ((-100)/52 + 2)*-2. Sort b, 3, r. r, b, 3 Let l be -6 - 2/4*-6. Suppose 324 = -4*p - 0*p. Let r be p/(-24) + l + 0. Put 0, -1/2, r in decreasing order. r, 0, -1/2 Let h be (-468)/117*(-2*1)/(-4). Suppose -2*z + 5*n + 13 = 0, n - 5*n = 5*z + 17. Put z, -4, 4, h in descending order. 4, z, h, -4 Let u(j) = j - 1. Let k be u(-1). Let z = -2307/4618 - 1/2309. Sort z, k, 0.1. k, z, 0.1 Let z = -1/636 - -2387/1272. Let c = z - 19/8. Let w = 10 - 4. Sort -0.3, w, c in descending order. w, -0.3, c Let m = 0.1 - -1.9. Let x(h) = -h**3 + 6*h**2 + 6*h + 4. Let u be x(7). Put m, u, 5, -2 in descending order. 5, m, -2, u Suppose -k + 129 = 2*w + 2*k, -4*k - 150 = -2*w. Let p be 23/w - 130/6*-1. Sort 1, p, -4 in decreasing order. p, 1, -4 Let h be -2 + (-5)/(-25)*5. Let l be (3 - 3) + 1 + h. Sort -3, l, -1 in descending order. l, -1, -3 Let d = -30 - -13. Let q = 15 + d. Let i(f) = -f**2 + 8*f - 6. Let y be i(7). Put q, y, -3 in descending order. y, q, -3 Let q be (-2)/3*(-150)/20. Suppose 0 = -3*y - 15, -s - 3 = -5*s - q*y. Sort s, -1/7, -2/17 in decreasing order. s, -2/17, -1/7 Suppose -s + 3*o + 12 = 2*s, 2*o = -2. Suppose 3*u - 14 = 4. Suppose w - s*w = -u. Put 0.2, 2, w in descending order. w, 2, 0.2 Let i = -5.6 - -6. Put -4, i, 1.4 in decreasing order. 1.4, i, -4 Let u(g) = -g**3 - 11*g**2 - 24*g + 1. Let h be u(-8). Sort -3, -44, h, -2. -44, -3, -2, h Let u(j) = -j**3 + 4*j**2 + 17*j - 6. Let m be u(5). Sort 4, 5/6, 5, m in decreasing order. m, 5, 4, 5/6 Let x be ((18/(-5))/(-3))/(82/(-205)). Let f(m) be the first derivative of -m**3/3 + 3*m**2 - 5*m - 1. Let t be f(6). Put t, x, -4 in ascending order. t, -4, x Suppose o + 5 = -3*j - 0, 2*o + j = 5. Let z(v) = 16*v + 65. Let f be z(-4). Sort f, -0.4, 0, o in descendi
{ "pile_set_name": "DM Mathematics" }
s w(u) a composite number? True Let s(i) = -27*i**2 + 3*i - 2. Let r be (2 - -1)*(-13)/13. Let l be s(r). Let q = -120 - l. Is q prime? False Let h = -16 + 18. Suppose 411 + 107 = h*j. Is j prime? False Let y = 5965 - 552. Is y prime? True Suppose 1 = r - 4, -r = 5*c - 445. Suppose -3*u + c = -59. Is u prime? False Let j be 1 - -1117 - (-5)/((-10)/6). Suppose 529 = 6*d - j. Is d a prime number? False Let t = -7348 - -14345. Is t prime? True Let d be (19 + -70)*(-2)/6. Is 2694/2*d/51 composite? False Let j(c) = -25*c**3 - 3*c**2 - 7*c + 4. Let u(m) = 24*m**3 + 2*m**2 + 6*m - 4. Let r(f) = 5*j(f) + 6*u(f). Let s be r(5). Is (12/18)/(2/s) a composite number? True Suppose -5*a = 4*w - 3642 + 831, -2*w + 1428 = -2*a. Suppose w + 890 = 5*v + 3*s, v - s = 323. Is v a prime number? False Suppose 0 = 5*c - 45 - 55. Let z = c + -18. Suppose 710 = 2*f + 4*p, 2*p - 1420 = -z*f - 2*f. Is f a composite number? True Suppose 5*t - 4*r + 1422 = 8273, 6815 = 5*t + 5*r. Suppose 0 = 5*p + 2*j - 5*j - t, 4*p + j - 1080 = 0. Is p a composite number? False Let u(b) be the third derivative of b**4/24 + 2*b**3 + b**2. Let d be u(-7). Suppose d*c = 1093 - 158. Is c a prime number? False Suppose -3*r + 0 + 7 = 4*c, 4*c - 3*r = 1. Is 93*((-5)/(-3))/c a prime number? False Suppose -14 - 74 = 11*s. Let b(d) = 3*d**3 - 2*d**2 - 1. Let c be b(2). Let o = c - s. Is o a composite number? False Let n = -3 + 5. Let t(k) = -96*k**3 + 4*k**2 + 3*k + 2. Let j(i) = 48*i**3 - 2*i**2 - 2*i - 1. Let l(u) = -7*j(u) - 4*t(u). Is l(n) a composite number? False Suppose -4*j = -16, -4*k - j - 4*j = -252. Let y = k + 53. Is y prime? False Let k = -2610 + 4251. Is k a composite number? True Let i(h) be the second derivative of 2*h**4/3 - 5*h**3/6 + h**2/2 + 2*h + 1. Let s = -1 + -3. Is i(s) a composite number? False Let x(v) = 25*v - 15. Is x(8) a composite number? True Let q = -42 + 28. Let y = q - -16. Suppose 2*a + 0*l - 264 = y*l, 0 = -a - 2*l + 117. Is a composite? False Suppose 0*a + 3 = -a. Let v be ((-5)/a)/((-2)/(-612)). Let m = v - -131. Is m a prime number? True Suppose 15*n - 13*n = 0. Let o be n - (-12)/((-3)/(-1)). Suppose 2*y - 3*y - 1942 = -4*b, 0 = -o*b + 2*y + 1944. Is b composite? True Suppose -4*a + 26 = 2*h, a + 35 = 5*a + 5*h. Suppose -a*s - 141 = -4*d, 7*d = 3*d - 5*s + 131. Is d prime? False Suppose 3*l = 2*a - 901 - 481, -2*a + 4*l = -1386. Is a a prime number? False Is 2 - -3 - (-2709 + (-9 - -2)) a prime number? False Let u be 0 - (-1740 - (3 + 1)). Let z = u + -953. Let h = -102 + z. Is h a composite number? True Let w = 0 + 13. Suppose -w*y - 1527 = -14*y. Is y prime? False Is (156/(-130))/((-4)/15310) prime? False Let o be (-15)/(-4)*12/9. Suppose 0 = o*h + 26 + 24. Is 5/2*(-12)/h a prime number? True Let i be (1 + 37)/(2 + (-576)/285). Let z = 180 - i. Is z composite? True Let w(m) = 55*m**2 + 2*m + 17. Is w(-4) a composite number? True Let x = -27 - -46. Suppose -125 + x = -2*n. Is n a prime number? True Let v be (-6)/8 - (-138)/24. Suppose 0 = -f + r + 335, 758 + 933 = v*f + 3*r. Is f a composite number? False Let r(d) = d - 5. Let p be r(6). Let u(s) = -s - 5 - p + 11*s + 5. Is u(6) a prime number? True Let w be (1444/(-6))/(-1 + (-21)/(-27)). Let i = w + -398. Is i composite? True Suppose 3*x = -0*x - 18. Is 875 + ((-4)/1 - x) prime? True Let q(a) = 6*a + 3*a - a**2 + 5*a + 2 + 0*a. Is q(9) composite? False Suppose -4*m + 3*y + 181600 = -39213, -2*m + y = -110405. Is m a prime number? True Let s be 2 - -6*4/8. Is (-10 + s)*(-2 + 13*-5) a prime number? False Let l = -78 + 90. Suppose 2*y - 12 - 8 = 3*z, y - 22 = 3*z. Is ((-654)/9)/(z/l) composite? False Suppose 7040 = 9*g - 14713. Is g a prime number? True Let f be (-54336)/32*(6/4)/(-1). Let y = f + -746. Is y a prime number? True Is -3*(-1514 - -5) + 4 prime? False Let x be ((-5)/(-15))/((-2)/(-168)). Is x/8*(-38)/(-1) prime? False Let j be (-1520 + 18)/(0 + -1 - -3). Let r = j + 2190. Is r a prime number? True Let j(a) = 1075*a + 459. Is j(40) a composite number? True Let n(v) = v**3 + 2*v**2 - v + 41. Let x be n(0). Let a = x - 37. Suppose -q + a = -593. Is q a prime number? False Let h be ((-10221)/12 + 3)/((-2)/(-8)). Let w = h - -7978. Is w a composite number? False Let o = -272 - -1161. Is o prime? False Is (2*(4 - 3))/((-2)/(-9)) a prime number? False Suppose 3*b = -4*r + 18, 5*r - 3*b - 11 + 2 = 0. Let x be ((-1)/r)/(2/(-522)). Suppose 3*p = 4*d + 20 + x, -3*d - 71 = -2*p. Is p a composite number? False Suppose -2*i + 23506 = -4*s, -i - 3*s = -17766 + 6023. Is i composite? True Suppose u = 2*u. Let l be 4*(u - 2/(-4)). Suppose 742 = l*w - 2*v, -w - 2*v = w - 742. Is w prime? False Let k(n) = 43*n**2 + 42*n + 52. Is k(-23) a prime number? False Suppose -4*b - 2*x + 246 = 0, b - 3*x = -2*b + 198. Let o = -233 + b. Let m = o + 257. Is m prime? False Let g = 13153 - 3996. Is g composite? False Let h = 64 + -56. Suppose h*c + 1387 = 6075. Is c a composite number? True Let v = 113 - 98. Suppose 3*n + v = 0, 0 = 2*z - z + n - 2652. Is z a prime number? True Let h = 1 + 1. Suppose -18 = -2*u + 4*k, -h*u + 5*k = -4*u. Suppose 4*c - 2*l - 795 = c, -5*c - u*l = -1350. Is c prime? False Let f(r) be the third derivative of 7*r**5/30 - r**4/24 + r**3/6 - r**2. Let u = -16 - -17. Is f(u) composite? True Let l be (0 + -195)*72/(-20). Suppose -2*w + 56 + l = 0. Is w a composite number? False Let b = -21 + 22. Let h(j) = 12*j - 27*j**3 - 4*j - 6*j - b. Is h(-2) a prime number? True Let n(h) = 3642*h**2 - 4*h + 3. Is n(1) composite? True Is ((10 - 12)/8)/((-2)/29528) prime? True Suppose -s + 4*u + 19 + 32 = 0, 4 = u. Let l = -48 + s. Is l a composite number? False Suppose o = 8*o + 21. Is 22665/18 + o/18 prime? True Is (-4346328)/(-144) + 2*1/12 a prime number? False Let r be 244/14 - 3/7. Suppose -r = -5*f + 28. Is f/27 + (-112)/(-6) composite? False Suppose -4*n = -2*l - 68860, -47*n + 51631 = -44*n + 2*l. Is n a prime number? False Suppose -m = -3*d + 10, -3*d + 5*m = -6*d + 40. Let a = -7 + d. Let i(o) = -104*o + 3. Is i(a) prime? True Suppose 5*h - x = 695102, -33006 = -4*h + 4*x + 523066. Is h a composite number? False Suppose -5*c + 54677 = -156108. Is c a prime number? True Suppose -18222 = -6*f + 24876. Is f prime? False Let t be (56/70)/((2/2)/5). Suppose -t*k - 1405 = 2*u - 8801, -7384 = -4*k + u. Is k a prime number? True Let g(w) = 50239*w**3 + w**2 + 15*w - 16. Is g(1) prime? False Let a be 3/(-12) - (-830)/(-8). Let b = a - 91. Let m = b + 502. Is m composite? False Suppose -f + 3*n = -8, -4*f + 0*n = -3*n - 14. Suppose -6*x - 5*w = -f*x - 5266, 5*w + 10 = 0. Suppose -4*z - v + x = 0, 0*z + 5*z - 1675 = 4*v. Is z composite? False Suppose -3*b = -2*q + 899, -1391 = 9*q - 12*q - 4*b. Is q composite? False Let v be (4 - 4 - -3229) + -3. Suppose -v - 4498 = -4*c. Is c a prime number? True Let x be (-1 + -3)/(1/(-1)). Let v be 6104/112 + 1/2. Suppose -3*a + 66 = 3*t, -2*a - v = -x*t + 27. Is t composite? True Let w be (-11 - -9)*34/4. Let r = w + 30. Is r prime? True Let j be -2 - (4 - 467) - -3. Suppose 2*f + v = 309 + 167, -2*f = -5*v - j. Is f prime? False Let x(j) = 4*j**3 + 3*j**2 + 2*j - 7. Suppose -t + 15 = 2*t. Let p be x(t). Suppose 2*f - 123 + p = 3*z, -f - 600 = -4*z. Is z a prime number? True Let p = 14291 - 5830. Is p prime? True Suppose -5*w = -32 - 58. Suppose 0 = 4*q + 2*o - 504, -4*o + 7*o = 4*q - 484. Suppose 2*r - q + w = 0. Is r a prime number? True Let w = 8 - -103. Suppose -w*t = -115*t + 508. Is t a composite number? False Let w = 51 - -2402. Is w a composite number? True Let f(y) = -2*y - 38. Let s be f(-20). Suppose -s*t = 3*j - 937, t - 5*j - 488 = -0*j. Is t a composite number? True Let s(d) = -3*d**2 - 8*d + 10. Let b(g) = 6*g**2 + 15*g - 19. Let m(i) = 3*b(i) + 5*s(i). Let w = -67 - -72. Is m(w) a prime number? False Let r(s) be the second derivative of 65*s**4/3 + s**3/6 + 5*s. Let n = -24 + 23. Is r(n) a prime number? False Let d be -4 - (-3 + 0) - -761. Let h(k) = k**2 - 6*k + 6. Let x be h(6). Suppose 5*c - 5*m = d, 6*m - 4*m - x = 0. Is c prime? False Let y(k) = -25 + k**3 + 3*k**3 + 19*k - 3*k**2 - 5*k**3. Is y(-18) composite? False Is (-1*31173)/(-6 + (3 - -2)) a prime number? False Let x = -1127 + 717. Let b = 119 - x. Is b a prime number? False Let z(n) = 823*n**3 -
{ "pile_set_name": "DM Mathematics" }
hat is prob of sequence xbz? 25/546 What is prob of sequence sll when three letters picked without replacement from lszllskl? 1/14 Calculate prob of sequence uluu when four letters picked without replacement from ffnflffflffffufff. 0 Calculate prob of sequence jtzj when four letters picked without replacement from tjjuuttjuzuju. 3/1430 Calculate prob of sequence ggl when three letters picked without replacement from blgplbllglplb. 1/143 Two letters picked without replacement from aoao. What is prob of sequence aa? 1/6 Two letters picked without replacement from rgrgrg. Give prob of sequence rr. 1/5 Two letters picked without replacement from {e: 10, f: 1, a: 6}. Give prob of sequence ef. 5/136 What is prob of sequence igin when four letters picked without replacement from {i: 2, g: 1, n: 3, l: 1}? 1/140 Two letters picked without replacement from vvvvvvvvvdvvvvvvvv. What is prob of sequence vd? 1/18 Calculate prob of sequence yi when two letters picked without replacement from {i: 4, y: 3, o: 1, r: 5}. 1/13 Two letters picked without replacement from {h: 1, f: 5, v: 1, a: 2, m: 4, k: 2}. What is prob of sequence km? 4/105 Calculate prob of sequence jbjj when four letters picked without replacement from baajajjajjajoajbja. 7/765 Three letters picked without replacement from aaaaccazzzz. What is prob of sequence zaz? 2/33 Four letters picked without replacement from ddddddddkdddddddmdd. What is prob of sequence dddd? 35/57 Calculate prob of sequence vut when three letters picked without replacement from {u: 4, t: 5, v: 7}. 1/24 What is prob of sequence zzj when three letters picked without replacement from wzjznznhddzzwdndwwww? 1/342 Two letters picked without replacement from hhhhhh. Give prob of sequence hh. 1 Two letters picked without replacement from {r: 5, b: 8, o: 1, a: 5, p: 1}. Give prob of sequence ar. 5/76 Four letters picked without replacement from nseswwnasnss. What is prob of sequence sens? 1/198 Four letters picked without replacement from {z: 9, v: 9}. What is prob of sequence zzvv? 6/85 Calculate prob of sequence rvms when four letters picked without replacement from svrsahvrsassm. 1/858 Calculate prob of sequence qdqd when four letters picked without replacement from ddddqhhqdqdqdqq. 1/26 Calculate prob of sequence cci when three letters picked without replacement from svidcsscrci. 2/165 Two letters picked without replacement from {u: 1, g: 2, x: 1, r: 11, h: 1, s: 2}. Give prob of sequence sg. 2/153 Two letters picked without replacement from wlwypcyel. What is prob of sequence ec? 1/72 Two letters picked without replacement from nnjjqqnj. What is prob of sequence jq? 3/28 What is prob of sequence lhlh when four letters picked without replacement from hhhhhlhhlllhhh? 45/1001 Two letters picked without replacement from {m: 7, g: 5}. What is prob of sequence mg? 35/132 What is prob of sequence ic when two letters picked without replacement from {u: 1, i: 2, k: 1, c: 1}? 1/10 What is prob of sequence mhc when three letters picked without replacement from ccmhcchhcmhccccm? 9/280 Three letters picked without replacement from {i: 14, n: 1}. What is prob of sequence ini? 1/15 Two letters picked without replacement from fzczazzaz. Give prob of sequence zz. 5/18 What is prob of sequence yp when two letters picked without replacement from {a: 1, s: 1, k: 2, p: 5, f: 2, y: 4}? 2/21 Two letters picked without replacement from okkkkkkookkk. Give prob of sequence ok. 9/44 Three letters picked without replacement from vjottssjh. Give prob of sequence jot. 1/126 Three letters picked without replacement from pppppwpppw. What is prob of sequence ppw? 7/45 What is prob of sequence qc when two letters picked without replacement from {c: 3, q: 5}? 15/56 Calculate prob of sequence fskd when four letters picked without replacement from sfsfffksqdfsqfssfds. 49/46512 Calculate prob of sequence sxs when three letters picked without replacement from xsxsxsssssxssxss. 55/336 Two letters picked without replacement from wwwwwwwwwwwxxwwwxwx. Give prob of sequence xx. 2/57 Three letters picked without replacement from wwwwwwwwww. What is prob of sequence www? 1 Two letters picked without replacement from belbsbesobbbssb. What is prob of sequence ee? 1/105 Two letters picked without replacement from lbhbpyq. Give prob of sequence bh. 1/21 Two letters picked without replacement from {g: 7, l: 1}. Give prob of sequence lg. 1/8 Two letters picked without replacement from rtzktrzkkrkkktk. What is prob of sequence rt? 3/70 Four letters picked without replacement from {k: 3, s: 5, y: 2, b: 2}. Give prob of sequence byky. 1/990 Calculate prob of sequence nj when two letters picked without replacement from jdn. 1/6 Three letters picked without replacement from {z: 1, k: 9, i: 1, b: 3}. Give prob of sequence zbk. 9/728 What is prob of sequence uzhw when four letters picked without replacement from {u: 1, z: 1, m: 5, w: 2, h: 9}? 1/4080 Calculate prob of sequence xri when three letters picked without replacement from {x: 6, r: 5, i: 7, y: 1}. 35/969 What is prob of sequence yyyy when four letters picked without replacement from yppyppp? 0 Two letters picked without replacement from {d: 2, v: 2, f: 3, g: 9}. What is prob of sequence gv? 3/40 Calculate prob of sequence uu when two letters picked without replacement from wwwwtwttwtwutwu. 1/105 Three letters picked without replacement from mmrrmmm. Give prob of sequence mmm. 2/7 Calculate prob of sequence rwfr when four letters picked without replacement from {r: 2, w: 5, f: 8, m: 1}. 1/546 Two letters picked without replacement from {n: 2, v: 3, j: 1, y: 1, k: 6}. What is prob of sequence nk? 1/13 What is prob of sequence msl when three letters picked without replacement from llmsggmglllmmgg? 2/273 Two letters picked without replacement from {m: 1, r: 5, j: 4, p: 2, l: 1, n: 7}. What is prob of sequence lr? 1/76 Four letters picked without replacement from {z: 4}. Give prob of sequence zzzz. 1 Calculate prob of sequence ln when two letters picked without replacement from pllnnlnp. 9/56 Calculate prob of sequence ewm when three letters picked without replacement from {m: 1, e: 1, w: 2}. 1/12 Four letters picked without replacement from iocii. What is prob of sequence ciio? 1/20 Two letters picked without replacement from {g: 1, o: 1, c: 2, m: 3, j: 7}. Give prob of sequence cg. 1/91 Calculate prob of sequence dr when two letters picked without replacement from prdrdhhhdc. 1/15 Three letters picked without replacement from coyocnc. Give prob of sequence cco. 2/35 Two letters picked without replacement from {y: 1, r: 1, l: 2, u: 4, p: 3}. What is prob of sequence pl? 3/55 What is prob of sequence uuuu when four letters picked without replacement from oomwvmmmjvvu? 0 Three letters picked without replacement from dqqsxaza. What is prob of sequence qxa? 1/84 Calculate prob of sequence nbh when three letters picked without replacement from {e: 2, p: 1, n: 2, b: 8, h: 1}. 2/273 What is prob of sequence phpp when four letters picked without replacement from {p: 3, h: 2}? 1/10 What is prob of sequence qss when three letters picked without replacement from {q: 8, s: 2}? 1/45 Two letters picked without replacement from {g: 2, y: 2}. Give prob of sequence gg. 1/6 Four letters picked without replacement from {c: 4, t: 2, j: 2, f: 2, i: 7}. What is prob of sequence itij? 1/340 What is prob of sequence btv when three letters picked without replacement from ohhvbttoot? 1/240 What is prob of sequence pip when three letters picked without replacement from ppippppippp? 8/55 Calculate prob of sequence tts when three letters picked without replacement from {t: 4, v: 8, s: 2}. 1/91 Two letters picked without replacement from {x: 1, j: 4, i: 4, s: 6}. What is prob of sequence ji? 8/105 What is prob of sequence ool when three letters picked without replacement from {o: 7, l: 4, t: 3}? 1/13 What is prob of sequence hnh when three letters picked without replacement from nndhhhdhhd? 1/18 Two letters picked without replacement from fnn. Give prob of sequence nf. 1/3 What is prob of sequence mw when two letters picked without replacement from dffmw? 1/20 Three letters picked without replacement from jzagaoog. What is prob of sequence ogj? 1/84 C
{ "pile_set_name": "DM Mathematics" }