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n**2. -6*n**2 Expand (-2 + 4 - 3)*(114*b - 114*b + 13*b**3). -13*b**3 Expand (3 - s - 3)*(0 + 2 - 1) + 9*s + 5*s - 5*s + (1 - s - 1)*(3 - 4 - 1) - 4*s + 3*s + 4*s. 13*s Expand (3 - 3 + 3*v**5)*(2 - 1 + 1). 6*v**5 Expand (2 - 1 + 0 + (-1 - 2 + 1)*(4 + 0 - 3))*(-2*f - f + 6*f). -3*f Expand (4*i - 4*i - 8*i**2)*(i - 7*i**2 + 5*i**2 + 6*i**2). -32*i**4 - 8*i**3 Expand -3*q**4 - q**4 + 2*q**4 + (0*q**3 - 4*q**3 + 5*q**3)*(12*q - 232 + 232). 10*q**4 Expand ((-11 + 3 + 16)*(4*q**2 - 4*q**2 - 2*q**2) + 2*q**2 - q**2 - 2*q**2)*(0*q - 2*q + q). 17*q**3 Expand (-2*p + 2*p - p**2)*(-89*p + 1950 - 1950 - 143*p). 232*p**3 Expand (-2*d**3 + 0 + 0)*(-105 - 3*d**2 + 102 + 0*d**2). 6*d**5 + 6*d**3 Expand (0 - 2 + 1)*(0 + 0 - 3)*(1 + i - 1)*(0*i**4 - i**4 - i**4). -6*i**5 Expand (x + 2*x - 5*x)*(5*x - 2*x - 4*x) - 5*x + 2 + 3*x**2 + 5*x. 5*x**2 + 2 Expand (-1 - 3 + 6)*(7*l - 3*l - 3*l)*(3*l + 0*l - 4*l)*(2 - 2*l - 2) + 3*l**3 - 4*l**3 - l**3. 2*l**3 Expand (0*h - 4*h + 2*h)*(4 - 2 - 6)*(-8*h + 8*h - 13*h). -104*h**2 Expand 2 - k**4 - 2 + (k + k - 4*k)*(-2*k**3 - 2*k**3 + 3*k**3) + 1 - 1 + 3 - 2*k**4. -k**4 + 3 Expand (-3 + 1 - 2*c + 0*c)*(4 + 8*c**2 - 4). -16*c**3 - 16*c**2 Expand (-125*f**3 + 28*f**3 - 40*f**3 - 93*f**3)*(2*f - f - 2*f). 230*f**4 Expand (0 - 1 + 0)*(-1 - d + 1)*(1 - 4 + 1). -2*d Expand (0*f**2 + f**2 + 0*f**2)*(f**3 + 2*f**3 - 2*f**3) - 2*f**5 - f**5 + 4*f**5 + (f**2 + 3*f**2 - 3*f**2)*(5 - 2*f**3 - 5) - 2*f**4 - f**5 + 2*f**4. -f**5 Expand (2 - 2 - d**2)*(0 + 0 - d**2) + (-d**2 - d**2 + 5*d**2)*(2*d + 2*d**2 - 2*d). 7*d**4 Expand (0 - 1 + 2 + (-3 + 1 - 1)*(2 + 4 - 5))*((3*c - c - 3*c)*(-c - c + c) + 4*c**2 - 35*c + 35*c). -10*c**2 Expand (-3 + 4 + 0)*(1 - 1 - 3*g) + 72 - 72 - 2*g. -5*g Expand (-2*p**2 + 2*p**2 - 2*p**3)*(-p + p - 4*p)*(7 + 4 - 4). 56*p**4 Expand -8*z - z + 0*z + (-z + 2*z + z)*(2 - 1 - 3) + 4*z - 2*z + 0*z. -11*z Expand (1 + 3 - 3)*(2*j**2 + 3*j - 3*j) + (-5*j + 5*j + 3*j)*(-3*j - j + 5*j). 5*j**2 Expand 2*x**5 + x**5 - x**5 + (x**2 - 2*x**2 + 0*x**2)*(-x + x**3 + x) + 0*x**5 + 2*x**5 + 0*x**5 + 3*x**5 - 3*x**5 - x**5 - 4*x**5 - 7*x**5 - x**5. -10*x**5 Expand (-2 + 4 - 1)*(-2*o + 4*o - 3*o)*(0*o + o**2 + 0*o + (0*o**2 + 2*o**2 + 5*o**2)*(-3 - 2 + 3)). 13*o**3 Expand (1 - 2*c - 1 + (-2*c + 1 - 1)*(-2 + 1 - 1) + 2 - 2 + 2*c)*(-c**2 - 3*c**2 - 2*c**3 + 5*c**2). -8*c**4 + 4*c**3 Expand (4 - 4 - 2*o**2)*(-5 + 3 + 3) - 2*o**2 + 2*o**2 - 2*o**2 + 47 + 9*o**2 - 47 + (0*o - 2*o + 3*o)*(-3*o + 0*o + 2*o) + 5*o**2 - 2*o**2 - 4*o**2. 3*o**2 Expand (0*s - 3*s - 9*s)*(3 - 2 - 3 + (2 - 1 + 1)*(-4 + 2 + 1) - 2 + 4 + 0 + 1 - 6 + 3 + 0 - 3 + 1 + (-3 + 5 - 4)*(-3 + 4 + 1)). 120*s Expand (-a + 1 - 1)*(-13*a + 10*a**4 + 11*a - a**4) + (-4*a**2 + 4*a**2 - a**5)*(0 + 4 - 2). -11*a**5 + 2*a**2 Expand (-3 + 661*o + 4 - 680*o)*(4*o**2 + 0*o**2 - 5*o**2). 19*o**3 - o**2 Expand (3 - 3*a - 3)*(-4*a + 3*a + 0*a - 2). 3*a**2 + 6*a Expand -18*w + 36*w - 14*w + (0*w - 2*w + 0*w)*(-2 + 4 - 1). 2*w Expand (-r**3 + 2*r**3 + 0*r**3)*(-2 + 3 + 1). 2*r**3 Expand (3 - 12 + 0)*(-l + l - l) + l - 3 + 3. 10*l Expand (-3*i - i + 3*i + (4*i - 4*i + i)*(3 - 3 - 1) + 3*i - 7*i + 3*i)*(-20*i**3 - 810*i**4 + 6*i**3 + 813*i**4). -9*i**5 + 42*i**4 Expand ((-2 + 2 - 2*u)*(-1 + 1 - 2) - 10 - 10*u + 10)*(3 + 1 - 3). -6*u Expand -2*z + 1 - 1 + (-3 + 2 + 6)*(-5*z - z + 4*z). -12*z Expand (2 + 0 + 0)*(-2*u - 14 - 2*u**2 + 14). -4*u**2 - 4*u Expand (-5*l - 3*l + 3*l)*(-3*l**2 + 10*l**2 + 0*l**2) + (0 + 0 + l)*(2*l**2 + l**2 - 2*l**2). -34*l**3 Expand (-8 + 9 + 7)*((-2*r**2 - 3*r**2 + 3*r**2)*(1 - 4 + 5) - r**2 + 2 - 2 + 2*r**2 + 0*r**2 - 4*r**2 - 3 - r**2 + 3). -64*r**2 Expand (2*z - 4*z + 0*z)*(2*z + 6*z + 0*z + (0*z + 2*z + 0*z)*(6 - 3 - 1)). -24*z**2 Expand (1 + 2*u - 1)*(-u - u + u) + 2*u**2 + 0*u**2 - u**2 - u**2 - 6*u**2 + 2*u**2 + 2*u. -6*u**2 + 2*u Expand -y**2 - y**2 + 4*y**2 + (-15 - 9*y + 15)*(-y - 5*y + 5*y). 11*y**2 Expand (-3 + 7 + 11)*(5*k**3 - 4*k**3 + 0*k**3)*(-3*k + k**2 + 3*k). 15*k**5 Expand ((-w - w + 0*w)*(5 + 0 - 3) - 5*w + 5*w - w - 15 + 15 + 2*w)*(-w - 3*w + 2*w)*(-w + w**3 + w). 6*w**5 Expand (-s - s - s)*(-3*s**2 + 0*s**2 + 0*s**2)*(-2*s**2 - 1 + 1) + 2*s**5 + s**2 - s**2. -16*s**5 Expand (-107*l**3 - 149*l**3 + 174*l**3)*(2*l**2 - 2*l + 2*l). -164*l**5 Expand (r**2 + 7*r - 7*r - 3)*(2 + 0 + 1). 3*r**2 - 9 Expand (t - 5*t + 2*t)*(t + t - 4*t + (1 - 5 + 2)*(2*t + 3*t - 4*t) + 3 + 2*t - 3 - 4*t - 3 + 3). 12*t**2 Expand (0 + 0 + 3*w + (5*w - 4*w + 0*w)*(-1 + 2 + 1))*(2 - 1 + 3)*(-4 + 3 + 2)*(1 - 1 + 3). 60*w Expand (-4 - 3 + 5)*(2*j + 0 + 0) + (1 + 2 - 5)*(j + 2 - 2)*(5 + 6 + 1). -28*j Expand (0*a + 2*a**2 + 0*a)*(46 + 42 - 85 - 2*a**2 - 4*a**3). -8*a**5 - 4*a**4 + 6*a**2 Expand (k + k - k)*(8*k**4 + 0*k**4 + 7*k**4). 15*k**5 Expand (w - 3*w + 3*w + 2*w + 2*w - 2*w + (w + 3*w - 2*w)*(-6 + 6 + 6))*(-2*w - 2*w + 3*w). -15*w**2 Expand z**4 - z**4 - 2*z**4 + (-z**2 + 2 - 2)*(0*z + 2*z + 0*z)*(-3*z + 3*z + 2*z). -6*z**4 Expand (-1 + 1 + 4*p**2)*(0 + 0 + 2*p**2) + 2*p**2 - 2*p**2 - 2*p**4 + (-3*p**3 - p**3 + 6*p**3)*(-p + 3*p - p) + 2*p**4 + 0*p**3 + 0*p**3. 10*p**4 Expand -2*c - 6*c - 4*c + (1 + 5 - 4)*(-2*c + 4*c - c) + 4*c + 2*c - 4*c. -8*c Expand (2 - 434*t - 502*t + 881*t)*(0*t + 2*t - t). -55*t**2 + 2*t Expand (-1 + w + 1)*(2*w**2 - 5*w**2 + 4*w**2) + (1 + 1 + 0)*(10 - 25 + 8)*(5*w**3 - 3*w**3 - w**3). -13*w**3 Expand (0*s**4 + 4*s**4 - 2*s**4)*(0*s + s - 2*s) + s**5 - s**5 - 2*s**5 - s**5 + 2*s**2 - 3*s**2 + 2*s**5. -3*s**5 - s**2 Expand -22*y**5 - 4*y**5 - 29*y**5 + (y**2 + y - y)*(3*y**3 - 4*y**3 - y**3). -57*y**5 Expand (-3*r**3 + 3*r**3 - r**3)*(2*r**2 + 15*r**2 + 0*r**2). -17*r**5 Expand 5*y**5 + 2*y**5 - 3*y**5 + (0*y + 0*y - 3*y**2)*(-5*y**3 + 3*y**3 + y**3) + 5*y - 5*y - y**5. 6*y**5 Expand (-1 - 2 + 1)*(275 - 123 - 138)*(3*i - i - 3*i). 28*i Expand (1 - 1 + 2*o)*(2*o**3 - 3*o**3 + 0*o**3) + (-34*o**2 - 45*o**2 + 87*o**2)*(-2*o - o**2 + 2*o). -10*o**4 Expand (-s + 2*s + s + 4*s - s - 2*s + (0 + 0 + 2*s)*(-3 + 2 - 1) + s - 4*s + 2*s - 2*s + 0*s + 0*s)*(-2*s + 0*s - s)*(-4 + 2 - 1). -36*s**2 Expand (9 - 8 - 9 - 15)*(-3*f + 0*f + 0*f). 69*f Expand (-4*w**2 - 2*w**2 + 5*w**2)*(-2*w**2 - w**2 + w**2) + (-3*w + 2 - 2)*(w**3 + 4*w**3 - 4*w**3). -w**4 Expand (7*w - w - 2*w + (-4 + 2 + 3)*(0*w - 15*w + 3*w))*(8*w - 3*w - w). -32*w**2 Expand (-4*j**2 + 2*j**2 + 0*j**2)*(4*j + 4*j - 6*j). -4*j**3 Expand (0*a**4 - 5*a - 2*a**4 + 6*a)*(-3*a + 2*a + 2*a) + 5*a**5 + 14*a**4 - 14*a**4. 3*a**5 + a**2 Expand (b**2 - 4*b**2 + 0*b**2)*(5 + 0 - 2) + (1 + 3*b - 1)*(0*b - 2*b + 4*b). -3*b**2 Expand (-6 + 3 - 1)*(-2*g + 0*g + 4*g)*(3*g**4 - 6*g**4 + 2*g**4). 8*g**5 Expand (2 - 3 + 2)*(-5*d - 8*d - d)*(0*d + 2*d - 5*d). 42*d**2 Expand b - b**2 - b + (-b**2 + b**2 - 2*b**2)*(-2 + 2 - 2) + 5*b**2 - 16*b**2 - 10*b**2. -18*b**2 Expand (-3 + 6 - 1)*(12*l + 77 - 77)*(1 - 2 - 1). -48*l Expand -10*j + 10*j - 2*j**3 + (6 - 1 - 6)*(-3*j**3 - 2*j + 2*j). j**3 Expand (-u**2 + 2 - 2)*(-3 + 1 + 0 - 13*u). 13*u**3 + 2*u**2 Expand (-47 + 0*m - 4*m + 55)*(-1 + 0 + 0). 4*m - 8 Expand (-a + 2*a + 0*a)*(2*a + 2*a - 3*a)*(-4 + 0 + 5)*(0 + 2 - 1). a**2 Expand (3*u + 4 - 4)*(u**2 - 5*u**2 + u**2). -9*u**3 Expand (1 + 2*z - 1)*(-43*z - 3*z - 31*z) + (2 + 2 - 2)*(3*z**2 - 2*z**2 + 0*z**2) + 2*z**2 + 2*z**2 - 3*z**2. -151*z**2 Expand (y - 3*y + 8*y)*((-1 + 4 - 4)*(-2 + 2 - y) + 3*y - y - 8*y). -30*y**2 Expand (k**4 - 3*k**4 + 0*k**4)*(-5 + 1 + 3) + 8*k**4 - 39*k**4 - 16*k**4. -45*k**4 Expand 0*b**5 + 4*b**5 - 5*b**5 + (-2*b**3 + 3*b**3 + b**3)*(0*b + b**2 + 0*b) - 10*b**5 + 9*b**5 - 6*b**5. -6*b**5 Expand (4*l**3 + l**3 - 4*l**3)*(3 - 6 + 4) + 20 + 19*l**3 - 20. 20*l**3 Expand -h**5 + h**2 - h**2 + (-h**5 + 3*h**5 - h**5)*(1 - 4 + 2) + 4*h**2 + h**5 - 4*h**2 + 3*h**3 - 3*h**3 - h**5 - 5*h**5 + 3*h**5 - 4*h**5. -8*h**5 Expand (-4 + 3 + 0)*(3 + 7 - 5)*(2*d**2 + 0*d**2 - 3*d**2)*(3 - 1 - 1). 5*d**2 Expand (-1 + 1 + u)*(-3 - 3 + 3 - 11*u). -11*u**2 - 3*u Expand (0 + 0 - 2*h)*(1 + 1 - 5)*(-4 + 3 + 5). 24*h Expand 2*j - j - 2*j + (-1 + 1 + 2)*(0*j + j + 0*j) - 24 - 11 - 2*j + 28. -j - 7 Expand -5*v + 0*v + 4*v + (5*v + 0*v - 2*v)*(-4 - 1 + 3) + 2*v - 2*v - v. -8*v Expand (-c + 4 - 11 + 9)*(-c**2 + c**2 + 2*c**2). -2*c**3 + 4*c**2 Expand (1 - 3*k - 1)*(-4*k + 5*k - 7*k) - 2*k - k**2 + 2*k. 17*k**2 Expa
{ "pile_set_name": "DM Mathematics" }
+ 4*b**2 - 2*b + 5. Find c, given that o(c) = 0. 1/2, 1 Let m(b) be the first derivative of 1/30*b**4 - 2/5*b**2 - 1 + 1/15*b**3 - 2*b. Let h(t) be the first derivative of m(t). Factor h(y). 2*(y - 1)*(y + 2)/5 Suppose 3 - 9 = -3*w. Let j = -35 + 106/3. Factor j + 1/3*b**w + 2/3*b. (b + 1)**2/3 Let t = 228 - 43091/189. Let v(n) be the second derivative of 0 + 1/90*n**5 - 1/135*n**6 - 4*n + 0*n**3 + 1/54*n**4 - t*n**7 + 0*n**2. Factor v(m). -2*m**2*(m - 1)*(m + 1)**2/9 Let i(h) be the first derivative of -h**6/6 + 2*h**5/5 + 6. Find m such that i(m) = 0. 0, 2 Factor 8/5 + 8/5*l + 2/5*l**2. 2*(l + 2)**2/5 Let j(l) be the first derivative of -5*l**6/36 + l**5/2 - 5*l**4/12 + 1. Factor j(k). -5*k**3*(k - 2)*(k - 1)/6 Let s be 45/10 - (-2)/4. Let m(x) be the first derivative of -1/4*x**4 + 0*x**2 + 1 + 0*x**3 - 1/10*x**s + 1/4*x**6 + 0*x. Let m(h) = 0. What is h? -2/3, 0, 1 Suppose d - 30*o - 12 = -26*o, 3*d + 3*o = -9. Let u = -18 - -37/2. Factor d - 1/4*r**2 + u*r. -r*(r - 2)/4 Let p(z) = -z**3 + 7*z**2 + 10*z - 10. Let a be p(8). Suppose 4 = -4*u + a*u. Solve 6/7*f**3 + 0 + 2/7*f + 6/7*f**u + 2/7*f**4 = 0. -1, 0 Let q(a) be the third derivative of a**8/840 - 13*a**7/1575 + 17*a**6/900 - a**5/150 - 2*a**4/45 + 4*a**3/45 - 14*a**2. What is z in q(z) = 0? -2/3, 1, 2 Suppose -v + 20 = -4*r, 3*v - 2*v - 2*r - 10 = 0. Let t(m) be the first derivative of 1 + v*m**2 + 2*m - 2/3*m**3. Factor t(k). -2*(k - 1)*(k + 1) Let b(g) be the first derivative of g**6/6 - g**5/5 - g**4/4 + g**3/3 + 20. Factor b(l). l**2*(l - 1)**2*(l + 1) Let p(t) = -1. Let z(l) = -l**2 - 2*l + 6. Let i(c) = -3*p(c) - z(c). Determine u, given that i(u) = 0. -3, 1 Let m(h) = h. Let w(x) = x**2 + 2. Suppose -3*q + f - 8 = 0, -3 = f + 2*f. Let r(t) = q*m(t) - w(t). What is d in r(d) = 0? -2, -1 Suppose -15 = -3*x - 3*h, -5*x + 11 + 4 = 3*h. Solve x - 2/11*p**2 + 4/11*p = 0. 0, 2 Let g(c) be the second derivative of -2/7*c**7 - 1/5*c**5 - 2/3*c**6 + 0*c**2 + 0*c**3 + 1/3*c**4 + 0 + 3*c. Determine d so that g(d) = 0. -1, 0, 1/3 Let h(u) be the first derivative of u**4/2 + 2*u**3 + 2*u**2 + 4. Factor h(t). 2*t*(t + 1)*(t + 2) Suppose 0 = -12*b + 11*b + 6. Suppose -3*q**5 - 3 - 3*q + q**2 + b*q**3 + 5*q**2 - 3*q**4 + 0*q**3 = 0. Calculate q. -1, 1 Let -4593 - 12*g + 2*g**2 + 4607 - 4*g**2 = 0. Calculate g. -7, 1 Let v(u) = u**5 + u**4 - u. Let t(p) = 14*p**5 + 12*p**4 - 2*p**3 - 7*p. Let m(s) = 2*t(s) - 14*v(s). What is r in m(r) = 0? -1, 0, 2/7 Let o(a) be the second derivative of 0 - a**2 + 1/20*a**5 + 1/3*a**3 - 5/24*a**4 - 2*a. Let s(x) be the first derivative of o(x). Factor s(p). (p - 1)*(3*p - 2) Let s(v) = -3*v**2 + 9*v + 3. Let b be (-20)/(-50) + (-47)/5. Let n(a) = -a. Let q(k) = b*n(k) - s(k). Factor q(l). 3*(l - 1)*(l + 1) Let y be 0/(1 + 1) + 0/27. Factor y*a + 2*a**2 + 0 + 2/3*a**3. 2*a**2*(a + 3)/3 Let m(r) be the second derivative of -1/2*r**2 - 1/6*r**6 - r - 5/6*r**4 - 1/42*r**7 + 0 - 5/6*r**3 - 1/2*r**5. Suppose m(o) = 0. Calculate o. -1 Let p(b) be the second derivative of -b**4/4 + 3*b**3 - 27*b**2/2 + 5*b. Let p(y) = 0. Calculate y. 3 Let w(f) be the second derivative of f**7/63 - f**6/15 + f**5/15 + f**4/9 - f**3/3 + f**2/3 + 5*f. Determine m so that w(m) = 0. -1, 1 Let s = 19 + -56/3. Determine g, given that 4/3*g**4 + 0 - 1/2*g**5 + s*g**2 - 7/6*g**3 + 0*g = 0. 0, 2/3, 1 Let q(t) be the third derivative of -t**5/60 + t**4/24 + t**3/3 + 13*t**2. Let q(o) = 0. Calculate o. -1, 2 Let r = -76271/1020 + 1276/17. Let t = r - -1/20. Factor 0*s - t*s**2 + 1/3. -(s - 1)*(s + 1)/3 Suppose 0*a + a = 0. Suppose 0 = y + b - 3, 8*y - 10 = 5*y - 2*b. Determine p so that 1/5*p**3 + 1/5*p**2 - 1/5*p**5 + a*p + 0 - 1/5*p**y = 0. -1, 0, 1 Let s be -26 - 3/((-6)/4). Let w = -14 - s. Factor 0 + 3 - 24*n + 5 + w*n**2. 2*(n - 2)*(5*n - 2) Let k(b) = -b**3 - 3*b**2 + 16*b + 48. Let m be k(-3). Suppose m - 6/5*g - 2/5*g**2 = 0. What is g? -3, 0 Let w(r) be the first derivative of r**7/3780 - r**6/1620 - r**5/540 + r**4/108 + 7*r**3/3 + 8. Let j(c) be the third derivative of w(c). Factor j(z). 2*(z - 1)**2*(z + 1)/9 Let y(q) = 2*q**4 - q**2 - 1. Let z(r) = -r**4 + r**3 - r + 1. Let s(d) = -d + 2. Let t be s(3). Let x(o) = t*z(o) - y(o). Factor x(g). -g*(g - 1)*(g + 1)**2 Suppose 0 = -y + 5*m - 10, -5*y + 10*m - 5*m = 10. Suppose j - 3*l + 15 = 0, y*j + 2*j - 2*l + 10 = 0. Factor 0 + j*x**2 + 0*x**3 - 2/3*x**5 + 0*x**4 + 0*x. -2*x**5/3 Let l(d) = 6*d**4 - 5*d**3 - 6*d**2 - 8*d + 2. Let u(t) = t**4 - t**3 + 1. Let o be 10/(-5)*(1 - 0). Let v(f) = o*l(f) + 10*u(f). Solve v(g) = 0 for g. -1, 3 Let t be 50/24 + 0 - (-18)/(-9). Let j(v) be the third derivative of 3*v**2 + 0 + t*v**4 + 0*v**3 - 1/30*v**5 + 0*v. Factor j(q). -2*q*(q - 1) Suppose -2*s - 2*s + 16 = 0. Let w(f) be the first derivative of -2 - 4*f - 2*f**3 + 4*f**2 + 2*f - s*f**2 - 4*f**2. Determine n so that w(n) = 0. -1, -1/3 Let z(j) be the second derivative of -j**5/60 - j**4/12 - j**2/2 - 3*j. Let l(n) be the first derivative of z(n). Factor l(i). -i*(i + 2) Let p(k) be the third derivative of -1/105*k**5 + 1/420*k**6 + 1/84*k**4 - 2*k**2 + 0*k**3 + 0*k + 0. Determine u so that p(u) = 0. 0, 1 Let a(t) be the second derivative of -t**6/216 - 7*t**5/360 - t**4/36 - t**3/2 - t. Let j(v) be the second derivative of a(v). Factor j(i). -(i + 1)*(5*i + 2)/3 Let q = -13 - -5. Let p be (q*(-4)/8)/2. Determine l so that -1/2*l**p + 1 + 1/2*l = 0. -1, 2 Let u be (48/(-36))/(4/(-6)). Factor 0 - 6/5*s**u + 0*s + 0*s**4 + 3/5*s**5 - 9/5*s**3. 3*s**2*(s - 2)*(s + 1)**2/5 Let z(v) = -8*v - 1. Suppose -5*d - 6*n = -3*n + 20, -5*d - 5*n - 30 = 0. Let p be z(d). Factor -q + p*q - 2*q - 2*q**2. -2*q*(q - 2) Let y(x) be the third derivative of -x**6/60 - 7*x**5/150 - x**4/30 - 3*x**2. Factor y(a). -2*a*(a + 1)*(5*a + 2)/5 Let u(b) = 9*b**2 + 5*b - 7. Let q(o) = 19*o**2 + 11*o - 13. Let c(l) = 3*q(l) - 5*u(l). Find d such that c(d) = 0. -1, 1/3 Suppose -3*t - 3*a = 15, 0*a + 3*a = -15. Let k(w) be the first derivative of 0*w + t*w**2 - 2 + 0*w**4 + 2/5*w**5 - 2/3*w**3. Determine h so that k(h) = 0. -1, 0, 1 Let o(y) be the first derivative of y**4/12 + 5*y**3/9 + y**2/2 - 3*y + 5. Factor o(d). (d - 1)*(d + 3)**2/3 Suppose 0 = 2*v + 4*a - 4, -5*v - 4*a + a = -17. Let k(d) be the first derivative of 0*d**3 + 1/4*d**6 + 2 + 0*d + 0*d**2 - 1/4*d**v + 1/10*d**5. Factor k(n). n**3*(n + 1)*(3*n - 2)/2 Suppose -5*m = 5, k + m = -4*k + 199. Factor 1 + b**2 + k*b + 7 + 45*b**2 + 14*b**3. 2*(b + 1)*(b + 2)*(7*b + 2) Suppose 17 = h + 5*o, 11 = 5*o + 1. Let p = h - 27/4. What is b in -1/4*b**3 + p*b**2 + 1/4*b + 0 - 1/4*b**4 = 0? -1, 0, 1 Factor 2/11*k**2 + 0 - 2/11*k**3 + 4/11*k. -2*k*(k - 2)*(k + 1)/11 Let f(c) be the first derivative of 1/24*c**4 + 1/2*c**2 + 2 + 2*c + 1/4*c**3. Let d(i) be the first derivative of f(i). Factor d(w). (w + 1)*(w + 2)/2 Let r(f) be the second derivative of -f**5/240 + f**4/96 + f**3/12 + 3*f**2/2 + f. Let z(l) be the first derivative of r(l). Factor z(c). -(c - 2)*(c + 1)/4 Factor -2 + 176/9*k**3 - 194/9*k**2 - 44/3*k - 32/9*k**4. -2*(k - 3)**2*(4*k + 1)**2/9 Factor 0*y**3 - 3/2*y**5 + 0 + 0*y - 3*y**4 + 0*y**2. -3*y**4*(y + 2)/2 Suppose 2*d + 2*v = -2*v + 16, 0 = 3*d + 4*v - 30. Let z be 2*(d/4 + -2). Factor -2*a - 9*a**3 - 7*a**4 + 28*a**3 + z*a + 2 - 15*a**2. -(a - 1)**3*(7*a + 2) Let u(z) be the first derivative of 2*z**3/39 - 2*z**2/13 - 1. Solve u(l) = 0 for l. 0, 2 Let m(i) = 1. Let k(j) = -9*j**3 + 11*j**2 - 2*j - 2. Let w(g) = -2*k(g) - 4*m(g). Factor w(x). 2*x*(x - 1)*(9*x - 2) Let d(w) be the first derivative of -21*w**5/40 - 5*w**4/8 + w**3/2 - 2*w - 1. Let k(v) be the first derivative of d(v). Factor k(m). -3*m*(m + 1)*(7*m - 2)/2 Let w(v) be the third derivative of -v**5/12 + 5*v**3/6 - 4*v**2. Factor w(s). -5*(s - 1)*(s + 1) Factor -2*v**2 + 4*v - 8*v + 5*v**4 + 19*v - 3*v**2 - 15*v**3. 5*v*(v - 3)*(v - 1)*(v + 1) Let b be 2/(-1)*(-5)/((-50)/(-15)). What is s in 4/5*s**b + 8/5*s**4 - 8/5*s**2 - 6/5*s**5 + 2/5*s + 0 = 0? -1, 0, 1/3, 1 Let u = 16/15 - 11/15. Factor 4/3 + 0*q - u*q**2. -(q - 2)*(q + 2)/3 Let -3 - 14*a**3 + 3 + a + 15*a**3 - 2*a**2 = 0. Calculate a. 0, 1 Suppose 4*r + 13 = 5*v, -4*v + 14 = -4*r + 2*r. Factor 2*g**3 + 7*g - 4*g - 2*g**r - 3*g**3. -3*g*(g - 1)*(g + 1) Let k(z) be the second derivative
{ "pile_set_name": "DM Mathematics" }
eplacement from {g: 1, b: 1, p: 1, c: 2, k: 1, t: 2}. Give prob of sequence bgk. 1/336 Calculate prob of sequence exx when three letters picked without replacement from exqxxxqxqqqqxqqxeq. 7/408 What is prob of sequence ee when two letters picked without replacement from eeeeeeeeelee? 5/6 Calculate prob of sequence vvfg when four letters picked without replacement from {f: 1, g: 9, v: 7, s: 1}. 7/1360 Calculate prob of sequence lwwl when four letters picked without replacement from lwolw. 1/30 Three letters picked without replacement from pnnnnpnnnnn. What is prob of sequence pnn? 8/55 Four letters picked without replacement from wrrwrrwrwrrrrr. What is prob of sequence wrww? 10/1001 Three letters picked without replacement from {a: 18, h: 2}. What is prob of sequence aah? 17/190 Two letters picked without replacement from bgbgbnnbn. Give prob of sequence bb. 1/6 Four letters picked without replacement from bwbwqqbbw. What is prob of sequence wwbw? 1/126 Calculate prob of sequence memw when four letters picked without replacement from {w: 2, e: 4, m: 4, z: 1}. 2/165 Calculate prob of sequence rrc when three letters picked without replacement from vrrqvcrvryryrr. 1/52 What is prob of sequence xx when two letters picked without replacement from {v: 4, x: 2}? 1/15 Two letters picked without replacement from zwwxgwzxzqgw. What is prob of sequence zw? 1/11 Four letters picked without replacement from ziozzrzorirzrzcciziz. What is prob of sequence irzz? 112/14535 Three letters picked without replacement from pztzpo. What is prob of sequence tzo? 1/60 What is prob of sequence bv when two letters picked without replacement from fogbv? 1/20 Two letters picked without replacement from {g: 5, h: 3, o: 4, z: 1}. Give prob of sequence zh. 1/52 Calculate prob of sequence ri when two letters picked without replacement from {r: 2, i: 7}. 7/36 Calculate prob of sequence cr when two letters picked without replacement from crrcrrrrrssrrrs. 2/21 What is prob of sequence hhh when three letters picked without replacement from {m: 7, j: 6, h: 4, p: 1}? 1/204 Three letters picked without replacement from {y: 2, u: 3, n: 3, t: 1, h: 1, d: 2}. What is prob of sequence yhn? 1/220 What is prob of sequence rr when two letters picked without replacement from rirr? 1/2 Four letters picked without replacement from {s: 2, f: 1, b: 2, q: 1, k: 1, j: 2}. What is prob of sequence sfsb? 1/756 What is prob of sequence mz when two letters picked without replacement from {z: 3, j: 1, m: 2, t: 6, h: 4}? 1/40 Two letters picked without replacement from {k: 2, c: 6, u: 11}. What is prob of sequence ck? 2/57 Two letters picked without replacement from {v: 1, l: 11, r: 1, h: 2, b: 5}. What is prob of sequence lb? 11/76 Calculate prob of sequence prhp when four letters picked without replacement from rhpprrhr. 1/105 What is prob of sequence wow when three letters picked without replacement from ootwwttttwwtwt? 5/273 Two letters picked without replacement from {e: 4, z: 6, o: 2}. Give prob of sequence oo. 1/66 Three letters picked without replacement from gzgggggzggzgggzgzygg. What is prob of sequence gyz? 7/684 Two letters picked without replacement from {b: 9}. Give prob of sequence bb. 1 Three letters picked without replacement from aaaaazzazaazzaazaaa. Give prob of sequence zzz. 20/969 Two letters picked without replacement from pnnnpnpnnznzz. Give prob of sequence zz. 1/26 Calculate prob of sequence xo when two letters picked without replacement from dosoxro. 1/14 Three letters picked without replacement from hmeqbqle. Give prob of sequence mqb. 1/168 Two letters picked without replacement from {i: 10, f: 2}. Give prob of sequence ii. 15/22 What is prob of sequence tj when two letters picked without replacement from fnnftnfnntnjttttnf? 1/51 What is prob of sequence jj when two letters picked without replacement from fjjf? 1/6 What is prob of sequence qhqb when four letters picked without replacement from {d: 6, b: 5, q: 2, z: 1, h: 3}? 1/1904 Calculate prob of sequence dv when two letters picked without replacement from {p: 6, d: 6, v: 3}. 3/35 Four letters picked without replacement from glwbbslwlbseee. What is prob of sequence eggg? 0 What is prob of sequence gg when two letters picked without replacement from gzgg? 1/2 Four letters picked without replacement from ttntnvvvnrtt. Give prob of sequence nvnr. 1/660 Calculate prob of sequence thi when three letters picked without replacement from rtsrsxssshxsiirrxssh. 1/1710 Four letters picked without replacement from {n: 1, b: 1, k: 1, o: 1, w: 1}. What is prob of sequence onbk? 1/120 What is prob of sequence yi when two letters picked without replacement from {h: 2, m: 6, f: 1, i: 2, y: 1}? 1/66 Three letters picked without replacement from ysuuussssusyuuuuu. Give prob of sequence uss. 9/136 Three letters picked without replacement from ccsjssjsjswjjjjc. Give prob of sequence ssj. 1/24 Three letters picked without replacement from soseessevoe. What is prob of sequence eee? 4/165 Calculate prob of sequence vnxx when four letters picked without replacement from {v: 1, y: 3, x: 2, w: 1, a: 2, n: 3}. 1/1980 Two letters picked without replacement from {j: 1, x: 1, n: 1, p: 2, t: 1, o: 1}. Give prob of sequence nx. 1/42 Two letters picked without replacement from dsnnspkspswpnpppwdn. What is prob of sequence dn? 4/171 Three letters picked without replacement from ntttbbytktbt. Give prob of sequence tkn. 1/220 Three letters picked without replacement from fxffxfxvxxvxfxxxfff. What is prob of sequence vfv? 8/2907 What is prob of sequence bk when two letters picked without replacement from ttktkktbkkkbtbktb? 7/68 What is prob of sequence fc when two letters picked without replacement from waafcwwcf? 1/18 Calculate prob of sequence kmkm when four letters picked without replacement from {m: 4, k: 6}. 1/14 Two letters picked without replacement from akkmakkwddkkawaada. What is prob of sequence ak? 2/17 What is prob of sequence lvv when three letters picked without replacement from {v: 2, l: 10, o: 3, m: 5}? 1/342 Two letters picked without replacement from {w: 5, h: 1, s: 1, i: 7}. Give prob of sequence ii. 3/13 Two letters picked without replacement from {j: 5, b: 6, q: 2}. What is prob of sequence jb? 5/26 Three letters picked without replacement from {l: 2, i: 2, w: 1, t: 1, k: 3, e: 3}. Give prob of sequence iel. 1/110 Three letters picked without replacement from tfnaittiifgtfit. What is prob of sequence nfi? 2/455 Calculate prob of sequence yyy when three letters picked without replacement from {h: 1, z: 2, y: 4, n: 3}. 1/30 Calculate prob of sequence cccc when four letters picked without replacement from {c: 6, f: 6}. 1/33 Four letters picked without replacement from kmgkkkkkkmgkkkkgkmk. What is prob of sequence kmmg? 13/5168 Three letters picked without replacement from {n: 1, m: 1, h: 6, d: 4, s: 8}. What is prob of sequence ndh? 1/285 Two letters picked without replacement from {e: 1, j: 2, z: 2, d: 11, s: 1, h: 2}. What is prob of sequence je? 1/171 Two letters picked without replacement from {r: 6, e: 1, i: 1, g: 5, z: 2, s: 1}. Give prob of sequence ri. 1/40 Calculate prob of sequence nkkn when four letters picked without replacement from {n: 16, k: 2}. 1/153 What is prob of sequence lnmn when four letters picked without replacement from rngnnlm? 1/140 Three letters picked without replacement from {w: 1, c: 1, o: 5, b: 4, h: 2, s: 2}. Give prob of sequence bbw. 2/455 Two letters picked without replacement from {l: 7}. What is prob of sequence ll? 1 What is prob of sequence ne when two letters picked without replacement from yqneeyqyyyyyqqy? 1/105 Three letters picked without replacement from {m: 3, z: 1, b: 1, t: 1, q: 5}. What is prob of sequence qzb? 1/198 Two letters picked without replacement from {v: 6, x: 4, q: 4}. What is prob of sequence xx? 6/91 What is prob of sequence exx when three letters picked without replacement from {x: 8, e: 2, r: 5}? 8/195 Four letters picked without replacement from {g: 2, n: 6}. What is prob of sequence nnng? 1/7 Calculate prob of sequence ghgh when four letters picked without replacement from gghghghhhhgh. 7/99 Calculate prob of sequence zzzy when four letters picked without replacement fro
{ "pile_set_name": "DM Mathematics" }
s = k*s for s. 0 Let m be (-6)/(-27) - 133/(-9). Solve -m = 2*y - 5 for y. -5 Let w(u) = u**2 + 6*u + 2. Let k be w(-6). Suppose -k*h - 16 = -4*q - 0*h, 0 = 4*q + 5*h - 2. Solve -2*y - q*y + 25 = 0 for y. 5 Let r = 7 - 3. Let s be r/(-14) - (-2)/7. Suppose 0 = -o + 3 - 1. Solve o*j + s*j = 0 for j. 0 Suppose -2*k + 1 = 3. Let l = k + 4. Solve 6 = y - l*y for y. -3 Suppose 2*i + 3*d = -2*i + 29, 28 = 4*i + 4*d. Solve 5 = -q + i for q. 3 Suppose -5*y = 2*o + 10, -4*y = -2*o - 4 - 6. Let u(d) = -d**3 + d + 1. Let h be (0 - (-3 - -4))*1. Let p be u(h). Solve -w + 1 + p = y for w. 2 Let q be (7 - 4) + 4/1. Let o(s) = -s**2 + 10*s - 14. Let l be o(q). Solve 5*p + l + 8 = 0 for p. -3 Let x = 62 + -60. Solve -2*w - 16 = x*w for w. -4 Suppose 2*b = -1 + 5. Solve -3*g - 3 = -b*g for g. -3 Let p(o) = o**3 - 4*o**2 + o - 1. Let f be p(4). Suppose 9 = f*w - 3. Suppose 3*i + 0*i - 15 = 0. Solve -3 = -w*g + i for g. 2 Let c be (-2 + 4)*(-1)/(-2). Suppose 4*b = -3*z - c + 10, 4*b + 4*z = 12. Solve b = i + 3 - 4 for i. 1 Suppose -2*s + 100 = 3*s. Let k(f) = -f - 1. Let v be k(-3). Let r = 9 - 7. Solve -r*j = v*j - s for j. 5 Suppose b + 18 - 20 = 0. Solve b*l + 15 = -l for l. -5 Let g be (-1)/4*(2 + -10). Solve 10 = 3*h - g for h. 4 Let k = -147 - -167. Solve -3*n = -7*n - k for n. -5 Suppose 0 = g + 5*g. Solve g*h = h + 3 for h. -3 Let y(c) = 10*c**2 + c. Let u be y(-1). Suppose x - u = -2*x. Let b be (-44)/(-6) + 2/x. Solve -3*p - b = p for p. -2 Suppose 3*x - x - 6 = 0. Suppose -x*m + 76 + 92 = 0. Let g = -40 + m. Solve 5*k + g = k for k. -4 Let p(z) = -z - 18. Let h be p(-16). Let i be 13 - (-3 + (h - -3)). Solve 5*a = i + 10 for a. 5 Let s be 142/8*(2 - -2). Suppose -2*f = -3*x + 41, -x - 2*f - s = -6*x. Solve -6*i + x = -3*i for i. 5 Let d be (-24)/48*18*-1. Solve -d = -5*s - 4 for s. 1 Suppose 0 = -3*f - 8 + 23. Suppose g = -f*z + 22, -3*z + 26 = -2*g + z. Let i = 0 - g. Solve i*y - 20 = -2*y for y. 4 Let j(m) = m**3 + 13*m**2 + m + 18. Let f be j(-13). Solve 8 + 2 = f*n for n. 2 Let y be 8/6 + 10/6. Solve m = y + 2 for m. 5 Let z(m) = -m**3 + 7*m**2 + m - 4. Let o be z(7). Suppose -72 = 5*n - 4*c, -5*c = -3*n - o*c - 44. Let a be n/(-10)*(-30)/(-12). Solve a*f = f + 9 for f. 3 Suppose -4*g - 57 = -r, -g = 2*g - 3*r + 36. Let o be (-18)/(-5) - 6/g. Let v = 11 - 7. Solve v*f - o = 4 for f. 2 Let h be (-2)/6 - (-11)/33. Solve h = -3*s - s - 20 for s. -5 Let d be (2 - 1)*-2 - -1. Let m = 2 - d. Solve -2 = g - m for g. 1 Let m(x) be the second derivative of -x**3/2 + 3*x. Let p be m(-1). Solve -p*k = -k for k. 0 Suppose 0 = -4*j - 20, 0*j - 14 = 3*l + 4*j. Solve h - l = 2 for h. 4 Suppose 0*v = -2*v - 0*v. Solve -5*h - 20 = -v*h for h. -4 Let g be (2 + 0)/(6/9). Solve 2*z + 1 = g for z. 1 Suppose 2*f - 5*o - 8 = 0, 5*o + 17 = 5*f - 18. Solve 0*l - f = -3*l for l. 3 Let j be 18 - 3*(-4)/(-4). Suppose 5*u = -3 - 2, 4*u - 8 = -3*k. Solve z + k*z - j = 0 for z. 3 Suppose -3*z + 14 = -z. Solve 0 = -3*f + z*f - 12 for f. 3 Let x = -15 - -35. Solve -4*f + x = -0*f for f. 5 Suppose -1 = -3*c - 3*t + 2, -8 = -5*c - 2*t. Solve c*y = -0*y - 6 for y. -3 Let c = 3 + -3. Let s = -1 - -1. Suppose s*g - 4 = -g. Solve c = o + 1 + g for o. -5 Suppose v = 3*a - 4, -4*a - 3*v + 12 = -2. Solve -3*d = a*d - 10 for d. 2 Let s be (-8)/(-5) - (-6)/15. Solve w = -s*w + 6 for w. 2 Suppose 17 + 7 = 4*j. Solve 0 = -j*z + z + 20 for z. 4 Let h be 15/(5 + -2) + -1. Solve 2 = -h*m - 14 for m. -4 Let d(i) = -5*i + 54. Let m be d(10). Solve -3*r = -4*r + m for r. 4 Suppose 9*u = -8*u - 0*u. Solve u = 3*w - 1 + 10 for w. -3 Suppose 0 = 6*p + 11 - 41. Solve -p*i = 4 + 6 for i. -2 Let m = -14 + 16. Suppose 4*v - 8 = d + m*d, 0 = -3*v + 6. Solve -2*n + 0*n - 10 = d for n. -5 Suppose 0 = -5*p - 5*k + 55, -2*k = 8*p - 3*p - 46. Solve -10*o = -p*o - 6 for o. 3 Let y be 2/(-3)*3/(-2). Suppose -l + y = -4*t, -3*l = -t - 41 + 16. Solve 1 = -2*x + l for x. 4 Let w be (1/1)/(5/15). Solve 0 = 4*a - w - 13 for a. 4 Suppose -26*b = -31*b + 35. Solve 0 = -b*k + 4*k - 15 for k. -5 Let m be (-65)/(-7) + (-6)/21. Let n = 84 + -29. Suppose -6*l - 5*b = -l - n, -5*l + 10 = -4*b. Solve 3*j - m = l*j for j. -3 Let l be (-56)/(-10)*(5 + 0). Let q = l - 16. Solve -x = 3*x - q for x. 3 Let t be (-35)/(-15) + (-1)/3. Let x be t/(-1*(2 + -4)). Solve -x + 4 = -y for y. -3 Suppose -2*m + 38 = 4*u, 3*u - 19 = 2*m + 6. Let z = u - 9. Solve z = -2*t - 2 + 8 for t. 3 Let o(x) = -x**3 - 15*x**2 + 3*x + 49. Let d be o(-15). Solve 0 = -d*z - 11 - 5 for z. -4 Let x(i) = -7*i**2 - 2*i - 3. Let w(b) = b**2 - b - 1. Let y(m) = 3*w(m) - x(m). Let c be y(1). Suppose 0*u = 3*u - c. Solve u = -f + 2 for f. -1 Let c(z) = -4*z**3 - 1. Let y be c(-1). Let t = 6 - y. Let s = 3 - 1. Solve s*g = t*g - 1 for g. 1 Let i(z) be the third derivative of z**4/24 - z**3/6 - 2*z**2. Let d be i(7). Let y be (-4)/(-12) + 4/d. Solve h + 3 = y for h. -2 Let k = 4 - 2. Let d(h) = h**2 + 5*h - 10. Let l be d(-7). Suppose l*x + 0*f = 2*f + 16, -5*x = -f - 17. Solve a + x = -k*a for a. -1 Suppose 0 = -p - 5*t + 17, 5*p + t = -35. Let m = p + 10. Solve m*k + 8 = -0 for k. -4 Suppose 21 = 4*p + z, -z = 2*p + 2*z - 23. Solve -2*j + p*j = 8 for j. 4 Let n(b) = 2*b**2 - b - 3. Let g be n(3). Solve -5*c + g = -c for c. 3 Let f(h) = h**2 + h + 4. Let v be f(-3). Solve 3*j + 5 = -v for j. -5 Let c(w) = w**3 - 4*w**2 - 5*w + 2. Let r be c(5). Suppose a = f + 8, 2*a - 12 - 12 = -r*f. Solve 2*u - a = -0*u for u. 5 Suppose 0*q - 6 = -q. Solve q*p = 4*p for p. 0 Suppose -3*g + 5*u + 22 = -48, 136 = 4*g + 4*u. Suppose 5*w - g = -0*w. Solve -2*k - 4 = -w for k. 1 Let c = 13 - 25. Let d = -2 + -1. Let m be (-12)/d*(-9)/c. Solve 2*k - m = -11 for k. -4 Let x(c) = c**2 - 9*c + 3. Suppose 5*h = 59 - 14. Let n be x(h). Solve 0 = -n*u - 0 + 3 for u. 1 Suppose 0*s - 3*s + 18 = 0. Let m = 16 - -9. Solve k - s*k = m for k. -5 Let c(n) = n**2 + 3*n + 3. Let u be c(-3). Suppose 0 = h - 0*h. Suppose -18 = -2*x - x + u*t, 5*t = h. Solve 0 = -0*d - 2*d + x for d. 3 Let i = -122 + 127. Solve 0 = 4*j - i - 3 for j. 2 Suppose 3*n + 4*n - 14 = 0. Solve n + 4 = -2*d for d. -3 Suppose -8*o = -13*o + 15. Solve -4*a + a = -o for a. 1 Let z(l) = l**2 + 4*l - 3. Let n be z(-5). Suppose 0 = -2*g + f, g + 0*g + n*f = 0. Solve s = -g - 2 for s. -2 Let g = 9 + 3. Solve -3*z = z + g for z. -3 Suppose 3*h - 5*a - 11 = -0*h, 5*h - 3*a = 45. Suppose 3*t - 91 = -4*r, -5*t - 3 = h. Suppose r = 6*m - m. Solve -j + m + 0 = 0 for j. 5 Suppose 5*i + 17 - 82 = 0. Suppose 2*w - w = 0. Suppose -2*m + 4*m = w. Solve m = 3*h + 4 - i for h. 3 Let v(m) = m + 12. Let i be v(-5). Suppose 5*k = t + t + i, 2*t = -2*k. Solve 4 = 5*a - k for a. 1 Suppose 0 = i - 2*i - 2. Let l = -2 - i. Solve 5*u + 0*u + 5 = l for u. -1 Suppose -5*m = -4*p - 32, 0 = 2*p - 3*p + 2. Let u = m - 3. Suppose 16 = u*r + 1. Solve 2*d - 10 = -r*d for d. 2 Let p be 13 + (-4 - (-7)/1). Solve -5*r - p = 4 for r. -4 Let z = 5 - 3. Suppose z*v + 2 = 6. Solve -6 = w + v*w for w. -2 Suppose -44 + 20 = -6*w. Solve -3 = w*n + 9 for n. -3 Let n be 8*(-5)/(-22) + (-12)/(-66). Suppose 2*s + 2 = 3*s. Solve q + n = s*q for q. 2 Let f = 10 - 14. Let u(k) = k**2 + 5*k + 3. Let h be u(-3). Let q = h - f. Solve -v = -0*v + q for v. -1 Let a(l) = -l**2 + 6*l - 5. Let q be a(4). Solve 20 = -q*j + 8*j for j. 4 Suppose 4*g + 20 = 2*o, -4*o + 12 = -4*g - 8. Suppose 3*i + 4*x - 32 = o, -5*x = -i + 6*i - 45. Solve 0 = -i*n + 2 + 6 for n. 2 Suppose -2*n + 4*l - 23 = 3*n, 0 = 2*n - 4*l + 2. Let y(h) = 2*h + 14. Let g be y(n). Solve -4*u + g*u = 4 for u. -1 Let f be (5/(-5))/((-1)/6). Suppose f = -2*k - 0*k. Let z = k - -5. Solve -z*p - 1 = -7 for p. 3 Let h(l) = -2*l - 7. Let r be h(-7). Let y = -5 + r. Solve 0 = y*f - 6*f for f. 0 Let x be 2 + (0 - 2) + 2. Suppose -129 = 6*u - 153. Solve x*k + 8 = u*k for k. 4 Let j(i) = -2*i**3 - 3*i**2 - 3*i. Let f(n) = 2*n**2 - 1 - n**3 - 2 + 1. Let u be f(2). Let g be j(u). Solve 0*o + 2*o - g = 0 for o. 5 Let p(b) = -4*b**2 + 18*b + 10. Let d be p(5). Solve -3*v - 2 - 4 = d for v. -2 Suppose 4*t - 16 = -0*t - u, 4*u = -4*t + 4. Solve -9 - 16 = -t*z for z. 5 Suppose -3*m - 4*s + 6*s + 8 = 0, -5*m = -2*s - 16. Suppose 5*h - m*h = 1. Suppose 5*i - 3*z - 11 = 0, -14 + h = -i - 3*z. Solve -4*u + 16 = -i for u. 5 Suppose 5*f = -25, 3
{ "pile_set_name": "DM Mathematics" }
3.7. Put -4, l, 2/11 in descending order. l, 2/11, -4 Let b = 199.5 + -199. Put b, 2/3, 3 in decreasing order. 3, 2/3, b Suppose -1 = -5*l + 2*y, -4*l = l - 4*y - 7. Put l, 0.4, 2/11 in decreasing order. 0.4, 2/11, l Let s = -0.99 - -1. Let m = 3.99 + s. Let p = m + -2. Sort 4, p, -4 in increasing order. -4, p, 4 Suppose 0 = 5*j + o + 2*o - 14, j - 10 = 3*o. Let d be ((-33)/(-22))/((-2)/j). Put d, -4, 2 in decreasing order. 2, d, -4 Let j = -2 - -8. Let y = j - 5. Suppose -3*v + 0*p + 5 = -5*p, 4*p + 4 = -2*v. Put v, 0.5, y in descending order. y, 0.5, v Let b(o) = -o**3 + o**2 + 7*o + 5. Let a be b(-2). Let v be (-3)/(-9) + 32/(-6). Sort a, 4, v in descending order. 4, a, v Suppose -2*g + 8 = -3*g. Let f be ((-2)/(-20))/(2/g). Put f, -3/4, -1 in decreasing order. f, -3/4, -1 Let f(x) be the first derivative of x**4/4 - x**3 - x**2/2 + 2*x - 1. Let n be f(3). Suppose 5*r - 4*y + 8 = -0, -3*y = -6. Sort n, -3, r in ascending order. -3, n, r Let p be (1 - 0)/((-2)/(-6)). Put 6, -1, p in decreasing order. 6, p, -1 Let s be (9 + -9)*(-1 + 0). Sort -2, -1, s in descending order. s, -1, -2 Let b = 0.4 + -0.5. Let i = -8 - -11. Let r = 0 - i. Sort r, b, -2/11 in descending order. b, -2/11, r Let r = 25 - 26. Let g be (-2)/(-5) + 12/(-45). Put g, 2/3, r in increasing order. r, g, 2/3 Let s = 48 - 40. Sort 3, s, -3 in ascending order. -3, 3, s Suppose o + 0*c + 3*c = 15, 15 = -5*o + 3*c. Sort o, 14, -1 in ascending order. -1, o, 14 Suppose -5*p = 6 + 4. Let y = -3 - 0. Put p, y, -5 in decreasing order. p, y, -5 Let s = 7 - 6.5. Suppose 5 = j - 0. Sort s, 0.4, j in decreasing order. j, s, 0.4 Let l be (-2)/7 - 18/(-63). Suppose 0 = p - l*p. Suppose -a - 5*c - 13 = -c, -3*a - 3*c = 12. Sort a, p, 1 in increasing order. a, p, 1 Let y = 0 - -0.1. Let f = y - 0. Let p = -0.41 - -0.01. Sort p, -2/15, f in decreasing order. f, -2/15, p Let f = 0.34 - -0.06. Let n = -0.2 - f. Sort 5, n, 2/5 in increasing order. n, 2/5, 5 Let w = 176 - 172. Sort -4, w, 3, 19 in decreasing order. 19, w, 3, -4 Let m be 2 + (2/(-1))/1. Let o = 3 + -2. Suppose 3*r - 4 = 5*r. Sort o, m, r. r, m, o Let a be (-3)/(-6) + (-10)/4. Let k be 0*(-2)/8 - 1. Put k, -5, a in descending order. k, a, -5 Suppose -h + 7*h + 30 = 0. Sort 0, h, 2 in descending order. 2, 0, h Let y = 0.14 - 0.32. Let f = 0.02 - y. Let z be 5/1*2/15. Put -2/3, z, f in decreasing order. z, f, -2/3 Let w = 6.29 - 1.19. Let i = w - 1.1. Sort 0.1, 1, i. 0.1, 1, i Let s = 0.05 - 0.25. Sort -0.4, -0.5, s. -0.5, -0.4, s Suppose 2 + 3 = -5*r. Let q = -1 + 4. Suppose -z + 20 = -5*o, 5*z + 16 = -0*z - 4*o. Sort q, r, z. r, z, q Let v(t) = -t**2 - t - 2. Let b be v(-2). Suppose 0 = -4*r - 1 + 9. Suppose -r*f - 4 = -4*o - 16, -3*f - 3*o - 18 = 0. Sort f, b, 1 in increasing order. b, f, 1 Let a be 14/((3 + -1)/(-1)). Suppose 2*o + 20 = -5*c, -20 = 5*c - 2*o - 0*o. Put -3, a, c in decreasing order. -3, c, a Let g = -0.09 + 6.09. Let h = 4 - g. Let c = 5.4 - 5. Put -2/5, c, h in ascending order. h, -2/5, c Let i be 38/6 + (-22)/(-33). Let d = i + -5. Sort -4, 1, d in descending order. d, 1, -4 Let j = -0.16 - -5.16. Suppose -2*c + 44 = 2*c. Put 3/4, j, c in ascending order. 3/4, j, c Let p = 19 - 19. Sort 4, -5, p. -5, p, 4 Let t = -14 - -17. Let w be (t/(-1))/3*3. Put -5, 0, w in increasing order. -5, w, 0 Let x be 2*-1*20/8. Put 3, x, -9 in decreasing order. 3, x, -9 Suppose -5*h - 63 + 13 = 0. Let r = -6 - h. Put 1, r, 3 in ascending order. 1, 3, r Let t = 15 - 11. Let r = -8 + t. Suppose 10*w = 25*w. Sort -3, w, r. r, -3, w Suppose w - 4*t = 0, 4*t - t + 27 = 3*w. Let r be (8/w)/((-2)/(-3)). Sort r, -1, -4 in decreasing order. r, -1, -4 Let r be ((-10)/4)/(3/(-6)). Put -1, -5, r in decreasing order. r, -1, -5 Let z = 1.1 - 1. Let f = 3 - 0. Let q = f - 6. Put z, q, -1 in ascending order. q, -1, z Let y be (-2)/(-5) - (-32)/(-55). Put -3, y, -2 in decreasing order. y, -2, -3 Let y be (1 + 2)/((-60)/8). Let s be ((-1)/(-5))/(14/(-35)). Sort s, -1/4, y in decreasing order. -1/4, y, s Let r = 679/9 - 75. Let o = 0.1 + -0.2. Put r, o, 5 in decreasing order. 5, r, o Suppose 2*o = -3*a + 19, a - o + 0 + 2 = 0. Sort 2, a, -2, 5 in decreasing order. 5, a, 2, -2 Let i be 106/(-22) - 6/33. Put 2, 5, i in ascending order. i, 2, 5 Let m(d) = d + 10. Let b = 8 + -13. Let r be m(b). Put 1, -4, r in descending order. r, 1, -4 Let v(g) = g + 6. Let f(l) = -2*l + 5. Let t be f(4). Let a be v(t). Sort -0.04, -2/11, a. -2/11, -0.04, a Let h(x) = -2*x**2 + 6*x - 7. Let b(i) = -3*i**2 + 7*i - 7. Let g(q) = -3*b(q) + 4*h(q). Let p be g(-5). Let y = -1178/117 - -92/9. Sort -5, y, p. -5, y, p Let u = 134.7 - 135. Sort -3/5, 3, -4, u in increasing order. -4, -3/5, u, 3 Let z = 0 + 0.1. Sort z, -0.4, -1/11 in increasing order. -0.4, -1/11, z Let u(n) = -n**2 - 3*n + 1. Suppose 2*g - 5*f + f = 12, -4*g + 2*f = 0. Let i be u(g). Sort 2, -3, i in ascending order. -3, 2, i Let y be ((-12)/(-156))/((-2)/(-4)). Put y, 3, 0.5, 1 in decreasing order. 3, 1, 0.5, y Let x = 0.01 + -9.01. Let g = -6 - x. Sort -0.5, g, 5 in decreasing order. 5, g, -0.5 Let w = 0 - -3. Let l = 103 - 823/8. Sort l, w, -8. -8, l, w Let f = 0.09 + -0.09. Sort f, 3, 3/2. f, 3/2, 3 Let u = -0.016 + -2.684. Let g = 0.7 + u. Put g, 2/7, -1/9 in descending order. 2/7, -1/9, g Let b be 10 + -4 + 2 + -3. Suppose -3*s - 3*l = -6*l + 12, 20 = -3*s + b*l. Sort -1, 5, s in increasing order. -1, s, 5 Suppose 2*g + 65 = 7*g. Let b be (2 - g) + (6 - 2). Put -4, b, 0 in descending order. 0, -4, b Let u be (-22 - -14)/(1 - -1). Sort -2, u, -97 in descending order. -2, u, -97 Suppose 4*f - 15 = f. Let w be 4/f*(-2)/(-4). Sort -2/7, -1/2, w in descending order. w, -2/7, -1/2 Let s = -433/4 + 109. Sort 0.1, -0.2, s, 0.4. -0.2, 0.1, 0.4, s Let s = -3.6 - -0.6. Let n = 8 + s. Sort n, 1/4, -3 in increasing order. -3, 1/4, n Suppose -4*c = -4*i + 24, -c = 3*i - 5*i + 11. Put c, -6, 0.2, 0.3 in ascending order. -6, c, 0.2, 0.3 Let x(j) = -9*j + 1. Let p be x(1). Let m(f) = 11*f + 20. Let b(a) = -4*a - 7. Let g(r) = 8*b(r) + 3*m(r). Let i be g(p). Put -2, 0, i in increasing order. i, -2, 0 Let i = -3 + 8. Suppose 0 = -3*c - 5 + 17. Sort 16, i, c in descending order. 16, i, c Let l(f) = f + 10. Let g be l(-8). Let m be (-3)/18 + 0/g. Put 1, 3, m in decreasing order. 3, 1, m Suppose 3*n = 5*n - 2*l, n - 6 = -l. Let v be (-48)/(-70) - 4/10. Put n, v, 2/5 in ascending order. v, 2/5, n Let s = -0.95 + -0.05. Let c = s + 0.9. Suppose -2*i = 8, r + 22 = -5*i - 0*i. Sort -5, c, r in descending order. c, r, -5 Let x = 54.4 - 54. Put x, 3, -1/3 in descending order. 3, x, -1/3 Let d(r) = r - 2. Let u be d(4). Let z be 1 - -1 - (-1 - -3). Let j(o) = -o**3 - o**2 + 4. Let v be j(z). Put u, v, -3 in increasing order. -3, u, v Let y = 0.07 + -0.37. Let a = -0.04 - 0.26. Let c = a - y. Put 0.5, c, -0.1 in increasing order. -0.1, c, 0.5 Let a = -0.7 - 3.3. Let q = 3.6 + a. Sort q, -2, 1/4 in increasing order. -2, q, 1/4 Let m = 3.5 + -3. Let q = m + -2.5. Suppose -2*l + z - 8 = 0, 4*l + z + 24 - 2 = 0. Put q, 1/3, l in descending order. 1/3, q, l Suppose -3*r - 16 = -11*r. Let u be 6/(-14)*8/6. Put r, u, 0.5 in decreasing order. r, 0.5, u Let r = 0 - 0.4. Let w be 3*4/(-6)*-3. Let n be (-7)/w - (-1)/2. Put 0, n, r in ascending order. n, r, 0 Suppose -k = 3*s + 3*k + 6, 3*k = -3*s - 6. Let b(l) = -l - 2. Let p be b(-3). Let i = s - p. Put 3, 4, i in decreasing order. 4, 3, i Let k be ((-7)/14)/(2/(-36)). Let c be 3/k*-1*3. Sort 0, c, -0.1. c, -0.1, 0 Let i = 49 + -45. Suppose -4*a - 30 + 13 = 3*l, 2*l + 4*a + 14 = 0. Sort i, 0.2, l. l, 0.2, i Let j be (52/8)/((-1)/(-2)). Suppose -2 - j = -5*o. Let s(z) = -z**2 - 2*z + 1. Let x be s(-2). Sort 5, o, x in descending order. 5, o, x Let x = -10 - -16. Suppose h = -c - 6, h + x = -4*h + c. Put -3, 3, h in decreasing order. 3, h, -3 Let i be 8 + (5 - 6) - 2. Put -18, -2, i in descending order. i, -2, -18 Let c = -0.02 + 0.22. Sort c, 4, -3. -3, c, 4 Let b = -5.9 + 6. Put b, -0.5, -4 in increasing order. -4, -0.5, b Suppose -9 = 5*p + 1. Let g be ((-2)/p - 0)*-1. Sort -2, g, 0 in decreasing order. 0, g, -2 Suppose 0 = -2*m - f + 120, 0*m - 5*f = 3*m - 180. Sort m, -5, -2 in ascending order. -5, -2, m Let q = -226/7 + 2952/91. Let v(d) = 2*d - 18. Let s be v(11). Put s, q, 1/3 in inc
{ "pile_set_name": "DM Mathematics" }
ivative of y(d). Differentiate f(n) with respect to n. -6*n Let q be (-4 + 0 + 3)*-1. Differentiate 0*i + q + 1 - 3*i + 4*i wrt i. 1 Let a(g) be the second derivative of g**4/12 + 3*g**3/2 + 11*g**2/2 - 3*g. Let c be a(-8). Find the first derivative of 3*r**3 - 4*r**c + r**3 + 1 + r**3 wrt r. 3*r**2 Let l(n) be the first derivative of 5*n**2/2 - 18*n - 22. What is the first derivative of l(z) wrt z? 5 Let j(a) = a - 8. Let g be j(12). Find the second derivative of -6*m**4 - 4*m + 5*m**g + 4*m**4 wrt m. 36*m**2 Let a be (2 + 5)*(-4)/(-14). Find the first derivative of -a*s**2 + 0*s**2 + 4*s**2 - s**2 + 2 wrt s. 2*s What is the third derivative of 8*l**2 - 17*l**2 + 13*l**2 - 9*l**3 wrt l? -54 What is the second derivative of -4*h**4 - 2*h + 2*h + 8*h wrt h? -48*h**2 What is the first derivative of 93 - p**3 - 103 + 0*p**3 wrt p? -3*p**2 Let g(f) be the first derivative of -4*f**5/5 - f**4/2 + f**3/3 + 3. Let h(k) = -k**3. Let i(w) = -g(w) + 2*h(w). Find the third derivative of i(u) wrt u. 96*u Suppose 5*d - 2*d = 9. What is the third derivative of -4*x - 2*x**5 + x + d*x + 3*x**2 wrt x? -120*x**2 Find the third derivative of 71*w**3 - 10*w**4 - 10*w**2 - 71*w**3 wrt w. -240*w Let o(m) = -2*m - 12. Let u be o(-7). What is the third derivative of q**2 - u*q**6 + 0*q**2 + 4*q**2 wrt q? -240*q**3 Let s(x) = -6*x**4 - 9*x**2 + 2*x - 2. Let d(c) = 24*c**4 + 37*c**2 - 9*c + 9. Let l(p) = -2*d(p) - 9*s(p). What is the third derivative of l(h) wrt h? 144*h Let v(b) = -b**5 - b**3 - b. Let c(s) = 26*s**5 + 6*s**3 + 29*s. Let o(i) = c(i) + 6*v(i). What is the second derivative of o(x) wrt x? 400*x**3 Let r be ((-4)/(-12))/((-3)/(-18)). What is the third derivative of -2 + 2 + r*i**4 - 4*i**2 - i**4 wrt i? 24*i Let s = -1 - -3. Suppose 0 = -2*c + 4*c + 5*h + 21, -2*h = 3*c + 4. Differentiate -s*x**3 + c*x**3 - 2 + 2*x**3 with respect to x. 6*x**2 Find the first derivative of 59 - 117 + 0*m**2 + 61 - 6*m**2 wrt m. -12*m Let w(j) = -j**2 + 9*j - 5. Let s = 1 + 4. Let r(n) = 4*n - 3 - 2 + 3. Let z(a) = s*r(a) - 2*w(a). Find the second derivative of z(v) wrt v. 4 Find the third derivative of -41*x**2 - 862*x**4 - 18*x**5 + 862*x**4 wrt x. -1080*x**2 Let z = 20 - 20. Let h(u) be the third derivative of 0*u**5 + z*u + 1/40*u**6 - 3*u**2 + 1/24*u**4 + 0*u**3 + 0. Find the second derivative of h(t) wrt t. 18*t What is the third derivative of 5*c**2 + 2*c**2 - c**4 - 2*c**2 - 3*c**4 wrt c? -96*c Let w(k) = 11*k**2 - 6*k - 9. Let b(f) = -32*f**2 + 17*f + 27. Let h(n) = -6*b(n) - 17*w(n). Differentiate h(o) with respect to o. 10*o Differentiate s - 5*s - 19*s + 8 + 38 wrt s. -23 Let w(f) be the third derivative of 4*f**2 + 0*f**3 + 0*f + 0 + 1/24*f**4 + 1/30*f**5. Find the second derivative of w(n) wrt n. 4 What is the third derivative of 0*t**5 - 8*t + 8*t - 2*t**2 + 2*t**5 wrt t? 120*t**2 Let j(i) = -7*i**4 + 6*i**3 - 16*i. Let h(r) = r**4 - r**3 + r. Let a(g) = 6*h(g) + j(g). Find the second derivative of a(v) wrt v. -12*v**2 Let g(p) be the second derivative of -53*p**5/20 - p**4/12 - 7*p**3 + 3*p - 17. What is the third derivative of g(a) wrt a? -318 Let z(f) = -6*f**4 + 4*f**3 - 11*f. Let a(i) = -i**3. Let y(l) = 4*a(l) + z(l). What is the second derivative of y(v) wrt v? -72*v**2 Let l(c) be the first derivative of -c**9/756 - c**5/30 + c**3 + 2. Let r(b) be the third derivative of l(b). What is the second derivative of r(v) wrt v? -80*v**3 Suppose -5*q + 1 = -4. Let b be (q - 2) + 3 + 3. What is the second derivative of -3*z**2 - b*z + 6*z + 0*z**2 wrt z? -6 What is the second derivative of -5*k**5 + 7*k**5 - 8*k + 0*k wrt k? 40*k**3 Let w(n) be the second derivative of 3*n**8/56 + n**7/6 - 3*n**4/2 + 16*n. Find the third derivative of w(x) wrt x. 360*x**3 + 420*x**2 Let q(u) = -11 + 11 + u. Let l be q(4). Find the second derivative of -3*x**2 + l*x**2 + x**2 - 2*x wrt x. 4 What is the third derivative of -4*d**2 + d**4 + 3*d**2 + 3*d**2 wrt d? 24*d Let s = -13 - -9. Let b = -1 - s. What is the second derivative of t**4 - b*t + 0*t**4 + 4*t wrt t? 12*t**2 Let u(c) = -28*c**3 - 12*c + 7. Let i(w) = -19*w**3 - 8*w + 5. Let y(f) = 7*i(f) - 5*u(f). What is the second derivative of y(v) wrt v? 42*v Let g(j) be the second derivative of j**8/240 + j**6/180 - j**3/6 - 2*j. Let h(x) be the second derivative of g(x). What is the third derivative of h(r) wrt r? 168*r Suppose 5*z = -y - y + 4, 3*y + 17 = 4*z. What is the derivative of 6*s**3 + 5 + 2*s**z - 2*s**2 wrt s? 18*s**2 Let q(w) = -22*w**2 - 8*w - 12. Let i(n) = -15*n**2 - 5*n - 8. Let p(t) = -8*i(t) + 5*q(t). What is the derivative of p(d) wrt d? 20*d Suppose -4*j - 3*a = -3*j - 5, 3 = 2*j - a. Find the third derivative of 0*u**j + 8*u**2 - 7*u**3 + 2*u**3 - 4*u**3 wrt u. -54 Differentiate -5 + 15 + 23*q**2 - 22 - 27 wrt q. 46*q Let r(j) = 7*j**4 - 2*j**3 + 5*j + 2. Let q(v) = 8*v**4 - 3*v**3 + 5*v + 3. Let w(b) = 2*q(b) - 3*r(b). What is the second derivative of w(d) wrt d? -60*d**2 Let q(s) be the second derivative of -5/6*s**3 - 1/10*s**5 + 0*s**2 + 0 + s + 0*s**4. Find the second derivative of q(g) wrt g. -12*g Let v(c) be the third derivative of -c**7/35 + c**6/120 + c**5/10 + 7*c**3/6 + 38*c**2. What is the third derivative of v(z) wrt z? -144*z + 6 Let t(x) = -23*x**2 + 21*x - 11. Let m(w) = -8*w**2 + 7*w - 4. Let p(g) = -11*m(g) + 4*t(g). Find the second derivative of p(f) wrt f. -8 Let y(j) be the second derivative of -j**2 - 5*j + 0 - 5/6*j**3. Differentiate y(s) wrt s. -5 What is the first derivative of -41*a**3 + 150*a - 18 - 150*a wrt a? -123*a**2 Let w(s) = -2*s + 2 + 4 + 5 + 19*s - 9*s**3. Let m(o) = 3*o**3 - 6*o - 4. Let r(i) = 17*m(i) + 6*w(i). What is the first derivative of r(d) wrt d? -9*d**2 Let b(o) be the first derivative of -15*o**4/2 + 8*o**3/3 + 33. Find the third derivative of b(d) wrt d. -180 Let i(p) = 21*p**3 + 4. Let g(j) = 4*j**3 + 1. Let z(d) = 11*g(d) - 2*i(d). Find the first derivative of z(n) wrt n. 6*n**2 Suppose -99 = -4*z - 11. Suppose 0 = -5*w, 2*y + 2*w + 2 = 3*y. Find the second derivative of 5*s**5 + z*s**y - s**5 - 22*s**2 + 3*s wrt s. 80*s**3 Let x(s) = 12*s**3 + 12*s**2 + 6*s - 6. Let y(k) = 35*k**3 + 36*k**2 + 17*k - 17. Let p(c) = -17*x(c) + 6*y(c). What is the third derivative of p(a) wrt a? 36 Find the second derivative of 0*t**3 + 7*t**5 + 0*t**3 + 22*t - 6*t wrt t. 140*t**3 Let a = -12 + 15. What is the derivative of -4*y**a - 1 + 3*y**3 - 3*y**3 wrt y? -12*y**2 Let r(i) be the third derivative of -i**7/630 - i**6/720 + i**4/6 + 6*i**2. Let q(w) be the second derivative of r(w). Find the second derivative of q(j) wrt j. -8 Let b(t) = -7*t - 34. Let p(y) = -8*y - 35. Let z(h) = 2*b(h) - 3*p(h). What is the derivative of z(v) wrt v? 10 Let t(q) = 2*q**3 + 8*q**2 + 6*q. Let i(o) = o**2 + o. Let b be 0 + -2 + (-4 - 0). Let w(c) = b*i(c) + t(c). What is the third derivative of w(s) wrt s? 12 Let k be (-3)/12 - 1/(-4). Suppose -z + k = -2. Differentiate -z - 2*r + 5*r - r - 1 with respect to r. 2 Let i(x) be the third derivative of -x**6/180 - x**5/120 + x**4/24 + x**2. Let q(y) be the second derivative of i(y). Find the first derivative of q(o) wrt o. -4 Let g(r) be the second derivative of -r**5/30 - r**4/8 + r**3/6 - r. Let z(v) be the second derivative of g(v). Differentiate z(p) wrt p. -4 Let s(q) be the third derivative of -q**8/84 + q**7/42 - 5*q**4/24 - 14*q**2 - 1. Find the second derivative of s(u) wrt u. -80*u**3 + 60*u**2 What is the second derivative of -3*r - 5*r**4 - 4*r**4 + 2*r**4 - 7*r**4 wrt r? -168*r**2 Let u(v) be the first derivative of -v**5/20 + v**3/3 - 3*v + 1. Let o(h) be the first derivative of u(h). Find the second derivative of o(g) wrt g. -6*g Let s(n) = -2*n**3 + 20*n**2 + 6*n + 6. Let q(k) = k**3 - k**2 + k + 1. Let o(m) = 6*q(m) - s(m). Find the third derivative of o(x) wrt x. 48 Let l(x) be the first derivative of x**8/280 + x**5/30 + 8*x**3/3 + 2. Let m(n) be the third derivative of l(n). Find the second derivative of m(j) wrt j. 72*j**2 Let m(r) be the first derivative of -11*r**4/2 + 13*r**2/2 - 14. What is the second derivative of m(z) wrt z? -132*z Suppose 4*y = i - 3*i + 6, 4*y - 41 = 5*i. Find the first derivative of 5*l**4 - 1 + 0*l**4 - 3*l**4 + y wrt l. 8*l**3 Let u(c) be the third derivative of 7*c**4/24 - c**3/2 + 2
{ "pile_set_name": "DM Mathematics" }
or s. -1 Suppose f = -y - 0*y - 112, -5*y + 328 = -3*f. Suppose 1171 = 9*w + 19. Let r = f + w. Solve -20 = -d - 0*i + 5*i, 0 = -d + 4*i + r for d. 5 Let h = 22153 + -22134. Solve 3*v = -4*l + h, 7*l - 2*l + v - 21 = 0 for l. 4 Suppose c + 611 + 71 = 4*w, 0 = 3*w - 3*c - 507. Let x = 250 - w. Let p = x - 76. Solve 5 = -4*f + 3*d - 20, p*f = -d - 9 for f. -4 Let u = 137 - 137. Suppose u = 17*o - 55 - 64. Solve o*p + h = 2*p + 12, -3*p + 8 = h for p. 2 Let f be (-75)/12*188/(-235). Solve -2*m - 20 = -k - 22, k = -f*m + 12 for m. 2 Let f = 748 - 744. Solve 2 = -4*s + f*n - 6, 3*s - 10 = -5*n for s. 0 Suppose 6*o - o = -0*o. Suppose 0 = -l + 2*k + 3, o*l + 2*k - 7 = -l. Solve 4*v = -5*g + 3*v + 25, -3*g = -l*v - 15 for g. 5 Let t = -11549 + 11553. Solve -5*j + 9 = 3*i, 2*j + t*i - 2 = -4 for j. 3 Let l(u) = 6 - 30*u + 14*u + 15*u. Let i be l(-7). Solve -33 = -2*b - 5*s - 11, i = 5*b + 2*s for b. 1 Suppose 8*y - 202 = -66. Suppose 12*k - y = 31. Suppose -16 = -5*d - k*s, 4*d - 2*s + 3 = 21. Solve -d*t - 6 = -2*p + 10, -4*t - 16 = 4*p for t. -4 Let r = -18 + 77. Let h = r - 59. Suppose 2*t - 2*c - 2*c = 16, -2*c = h. Solve d + t = -2*m, 4*d = -4*m - 6 - 10 for m. -4 Let d(o) = o**3 - 7*o**2 - 7*o - 6. Let f be d(8). Let v = -497 - -497. Solve 5*t = f*l - 3*l - 17, 3*t - 4*l + 24 = v for t. -4 Let z(t) = -t**3 - 10*t**2 + 11*t + 20. Let p be z(-11). Suppose c = -3*x + p, -2*c - x - 20 = -7*c. Solve v - 31 = c*q - 10, -q = -4*v + 8 for q. -4 Suppose 5*g - 41 = -16. Let s be -4*10*1/(-8). Solve -4*x + 3*x + 7 = s*d, g*d + 2*x = 4 for d. 2 Let l be 10/2 - (2 + 1). Let j(m) = 12*m - 2 - l*m + 1 + 6 + m**2. Let f be j(-10). Solve 0 = f*x - 3*n + 31, -2*n + 8 = 2*n for x. -5 Let g = -853 + 858. Solve 3*c + 3 = l, 3*c - 4*c - g*l - 1 = 0 for c. -1 Let q(w) = -w**2 + 23*w - 107. Let o be q(7). Suppose 0 = -y + 2*m + 8, o*y + 5 = -3*m - 2*m. Solve -3*h - 4*p - 15 = -2*h, -y*h + 18 = -4*p for h. 1 Let f(c) = c**2 - 24*c - 61. Let p be f(27). Suppose 0 = -z - 4*t - p, -5*z + 5 = 2*t - 3*t. Solve 5*b - 9 = -2*y, b - 4*y + z = 15 for b. 3 Let o(h) = h**3 + 30*h**2 + 52*h - 112. Let l be o(-28). Solve 15*g - 11*g + 4 = l, -3*n = -5*g + 4 for n. -3 Suppose -62 = -4*n - 4*s - 18, 3*n - s = 5. Solve n*i - 18 = -2*w, -i + 18 = 4*w - 4 for w. 5 Let t = 1221 + -759. Let v = -460 + t. Suppose -2*a = -4*g + 48, -2*g - a + 6*a + 32 = 0. Solve -5*h - 1 = -3*i - 13, 0 = v*h + 5*i - g for h. 3 Suppose -5*p + 24 = -4*p. Let h be (-30)/(-2) - (27 - p). Solve 3*y - h = -3*z, 6*z - z = 10 for y. 2 Let m(n) = 2*n**2 - 8. Let v be m(2). Suppose 4*a + 3*o = 19, v*a + 4*a - o - 15 = 0. Solve 0 = 4*u + a*j - 4, 0*u = 2*u + 3*j - 5 for u. -2 Let r(s) be the third derivative of -23*s**4/6 + s**3 - 33*s**2. Let q be r(-1). Let k = q - 88. Solve -4*n = 0, 6*m - m + n - k = 0 for m. 2 Let g(d) = -d**3 + 7*d**2 - 8*d - 7. Let m be g(3). Suppose -m*q + 3*i + 40 - 18 = 0, -q + 2*i + 10 = 0. Solve r + 0*r - 3*v = 4, 5*v = q*r - 5 for r. -5 Let s = -65 - -68. Suppose s + 9 = 2*l. Suppose -a - 19 = -5*z, -3*z - 3*a = -z + l. Solve -z = x, 4*w - 3*x + x + 10 = 0 for w. -4 Suppose 161 = 4*u - j + 107, -5*u + 72 = -2*j. Solve -l - 3 = -4*s, -111*s + 4*l = -114*s - u for s. 0 Let v be (-9)/12 - (13962/(-24) + -5). Let a = v - 583. Solve 2*f - 6 = -3*c + f, 0 = f + a for c. 3 Let t = 29 - 141. Let l be (2/4)/((-28)/t). Solve 5*n = -l*v + 6, 3*v = -v + 4*n + 12 for v. 3 Let l be (-47 + (-11 - -5 - -2))/(-1). Suppose 20 = q + 3*q. Suppose -36 = q*v - l. Solve -x - 4*k - v = 0, -3*k - 3 = -2*x + 3*x for x. -3 Let h(g) = -3*g**2 + 12*g - 7. Suppose -39 = -5*c - 24. Let r be h(c). Let d be 1*4/4*3. Solve r*a - f = 7, 17 = 5*a - 0*f - d*f for a. 4 Let j(q) = 2*q**2 - 29*q - 15. Let w(g) = -2. Let d(r) = -j(r) + 6*w(r). Let s be d(14). Solve 0 = 4*b - 9*b + 4*c + s, 4*b - 10 = 5*c for b. 5 Let j(q) = q**2 + 4. Let x = -168 - -167. Let c be j(x). Solve -w - 4*u = 13, 4*u - 2 = c*w + 3*u for w. -1 Suppose -60*c - 4*t = -63*c + 23, 2*c - 4*t = 18. Solve -a + 6 = 11, 0 = -u + c*a + 29 for u. 4 Suppose -1604 + 1994 = 130*m. Solve i + 10 = m*k, i - 3 + 7 = k for k. 3 Let r(n) be the first derivative of 3*n**2 - 37*n - 325. Let g be r(7). Let t be 2/(-2)*(-32 + 1). Solve 2*q = -5*f + t, -4*f = -g*q - 1 - 4 for f. 5 Let g be 14 + (-9 - (-7)/(-7)). Solve 0 = -4*v - 10*l + 9*l - 17, g*v = -2*l - 22 for v. -3 Suppose -5*y - 171 + 66 = -5*k, y + 1 = 0. Let c be 8/k - -1*12/20. Solve -2*v = -10, -v + 4*v = -4*t - c for t. -4 Suppose -3*f = -l - l + 13, -3*l + 32 = -2*f. Suppose l = y + 66. Let n = -40 - y. Solve 37 = -5*g + n, w + 5*g = -21 for w. 4 Let y = 5358 + -5355. Solve -3*h - 6 = -d, -71*h - y*d - 4 = -69*h for h. -2 Let y be (-2)/36 + 2507/414 + -2. Solve 3*f - 31 = 4*t, 6*t + 4*f = 2*t + y for t. -4 Let w be (2/(-2))/((-1)/28). Suppose -143 = h + z, z + 314 = -2*h + 6*z. Let k = h + 150. Solve -5*s = k*i + w, 2*s = 4*s + 10 for i. -1 Suppose -17 - 1 = -4*c - h, 2*h = 4. Suppose v - 9 = 3*w + 14, 3*w = -c*v + 77. Let a = 1 - -1. Solve u = r + 5, 2*r = -a*r - u - v for r. -5 Suppose 12*t - 17*t = 2*r - 3, 5*t = r + 6. Solve -l + 103*j - 102*j = -t, l - 3*j + 5 = 0 for l. 4 Let z = -5 + 10. Suppose -32455*n - 23375 = -33830*n. Solve 3*a = 5*p - 2*p - 3, -z*a = p + n for a. -3 Suppose 0 = 10*h - 9*h - 140. Suppose 0 = -9*o + 4*o + h. Let y = o - 26. Solve 5*g - 2*c = -18, 0*c + 2*c = -y for g. -4 Suppose 17*l - 15*l = -3*c - 21, 2*c = 2*l + 16. Let n be (5 + -6)*(-9 - l). Solve 2*r + 4 = -i, -i + n*r = -r + 1 for i. -2 Let v be 0*(-5)/(-20)*4. Solve v = -17*d + 12*d - 5*n + 30, -4*n + 20 = 0 for d. 1 Let o(j) = 2*j - 12. Let x be o(8). Suppose 5*d - 8*d = -51. Suppose -3*v = 3*k + 3, -6*v = -4*v + 5*k + d. Solve -x = v*l, -3*y = -4*y + 4*l for y. -4 Suppose 0 = 2*f - 5*v - 28, -2*v = 4*f + 2*v. Suppose 0*o + o - f*t = 32, 4*o - 140 = 4*t. Let x = o + -34. Solve -2*u + 2*l + x*l = 30, -4*l + 10 = 2*u for u. -5 Suppose 0 = -4*p - 43*t + 38*t + 23, -t + 6 = p. Solve 9*u - p*u = -2, k + 3*u + 7 = 0 for k. -4 Let f be 536/5 + 16/20. Suppose -37*o + o = -f. Solve -12 = 4*s - 5*a, -s - 14 = -2*s - o*a for s. 2 Let g be (-2)/(-21) - 9/(2835/(-2175)). Solve -4*i + 2 = 2*b, 13*i = 11*i - 3*b + g for i. -1 Let v = -3410 + 3427. Solve -5*c - 2 = -g + v, 3*c = g - 13 for g. 4 Let q be (-8)/12 - (-1 - (-897)/(-9)). Let a be (-5)/((q/16)/(-5)). Solve 5*g = -3*m - 19, -4*g + a*m - 23 = -g for g. -5 Let g = 9908 + -9904. Solve 7 = d + 3*c + 3, g*c = 4 for d. 1 Let z(n) = 19*n**3 + n**2 - 3. Let r be z(2). Let g = r + -151. Solve f = -0*f - g*i - 3, -f + 2*i = 3 for f. -3 Suppose 2*q = 2*u + 28, 37 = -349*q + 352*q + 2*u. Solve -n - 4*r = -15, -q = n - r - 2*r for n. -1 Let h = -93 + 87. Let i(o) = 14*o + 87. Let a be i(h). Solve a*f = 2*q + 8, -q + f + 0*f = 4 for q. -4 Let q(n) = 0*n - 4*n - 16 + 2*n + 39. Suppose 0 = 5*s + m - 45, 29 = 4*s + 3*m + 4. Let w be q(s). Solve 0 = -2*t, -2*t = -3*c + w*t - 9 for c. -3 Let w(t) be the first derivative of -5*t**4/4 - t**3/3 + t**2 + t + 20. Let f be w(-1). Solve 4 = -2*o + 3*q, -q + f = o - 2*o for o. -5 Let i = -7 - -21. Let t = 32 - i. Let k = -15 + t. Solve -f + k = -x + 2*x, 12 = -x + 2*f for x. -2 Suppose 2*z - 22 - 206 = 0. Let j be z/(-285) - -1*4/10. Suppose 61 + 39 = 4*o. Solve 5*t + o = j, -3*a + 0*a - 3*t - 27 = 0 for a. -4 Let t(h) = -47*h + 484. Suppose 2*w + 0 = -5*i + 42, 2*w + 58 = 5*i. Let r be t(i). Solve -5*d = 10, 0*n + d + r = 3*n for n. 4 Suppose -481*k = -585*k. Solve z = 4*x - 2*x + 9, -5*z - 4*x + 17 = k for z. 5 Suppose -d - 846 = -5*d + 3*c, -4*d - 4*c = -860. Let p = d - 189. Solve w + t = -4, 0 = -0*w - 4*w + 4*t - p for w. -5 Let u = 4 - -1. Suppose -20 = v - u*v. Suppose -j = v*j - 24. Solve -j*w - 2 = -a, 4*w - 3*a = 3*w - 6 for w. 0 Suppose 18 = 2*i - 2*n, -4*i - 36*n + 32*n - 20 = 0. Solve -i*b + v - 8 = -3*v, -4*v = -b - 8 for b. 0 Let i = 2044 + -2002. Solve -38*n - 4 = h - i*n, 3*h = n - 1 for h. 0 Let s be -1*(-2 - -4) + 112/(-28). Let b(l) = -l**3 - 5*l**2 + 3*l - 12. Let h be b(s). Solve 5*u + 0 = 2*q + h, 5*q = -4*u + 18 for q. 2 Suppose 24 = j + 2*f, -6*j + 1 = -7*j + 3*f. Suppose -4*k = -x - 2 - 11, 5*x = 4*k - 33. Solve 2*o + k*s + j = -0*o, 2*s = -5*o - 20 for o. -2 Let a = -955 + 959. Solve -2*o - 5*z - 23 = 0, -4*o + a*z + 1 = 5 for o.
{ "pile_set_name": "DM Mathematics" }
e third derivative of 0*n + r*n**3 + 0 + 1/8*n**4 - 3*n**2. Let o(g) = g. What is m(o(q))? 3*q Let r(p) = -p**2. Let g(x) = 13*x**2 - 96. Calculate r(g(l)). -169*l**4 + 2496*l**2 - 9216 Suppose 13 = 2*r + 3. Let i(t) be the third derivative of t**2 + 0*t + 0*t**4 + 0*t**3 + 0 - 1/30*t**r. Let s(v) = 2*v. Calculate s(i(j)). -4*j**2 Let g(r) = -r. Let h(q) = -2*q. Let l(u) = 5*g(u) - 2*h(u). Let o(n) = -93 + 93 + 4*n. Determine l(o(k)). -4*k Let w(a) = -36*a. Let i(m) = 28*m. Give i(w(n)). -1008*n Let v(t) = -t. Let p(u) = -8352*u. Determine v(p(f)). 8352*f Suppose 10 = 3*o + 2*w, 0*w - 2*w = -4. Suppose -3*y - 5*r + 24 = -7, -1 = o*y - r. Let m(f) = -4*f + y*f + 4*f + 0*f. Let n(a) = -3*a. What is m(n(u))? -6*u Let u(h) = -41*h**2. Let i(k) = 2*k. Calculate u(i(s)). -164*s**2 Let t(b) = 26*b + 3. Let n(a) = a**2. Give t(n(i)). 26*i**2 + 3 Let r(s) = -4*s**2. Let n(a) be the second derivative of -a**3/3 - 11*a. What is n(r(z))? 8*z**2 Let b(g) = 2054*g + 1. Let o(r) = r. Determine b(o(i)). 2054*i + 1 Let c(o) = -3*o. Suppose -2*b = -5*b - 3*s + 27, 2*b + 4*s - 28 = 0. Let h(i) = 2*i + b*i + i. Determine h(c(d)). -21*d Let y(a) = 307*a - 307*a + 3*a**2 - 3. Let c(j) = 2*j. Give y(c(i)). 12*i**2 - 3 Let l(j) = j**2 + 4*j. Let a(m) = -5*m**2. What is l(a(f))? 25*f**4 - 20*f**2 Let t(l) = -l**2 - 4*l - 4. Let k(r) = 10*r**2 + 35*r + 35. Let d(g) = -4*k(g) - 35*t(g). Let z(o) be the third derivative of o**4/12 - o**2. What is d(z(y))? -20*y**2 Let t(l) be the first derivative of 3*l**2/2 + 7. Let z(x) = -2*x. Calculate z(t(c)). -6*c Let w(x) = -4*x**2 + 5. Let z(k) = -6*k**2 + 7. Let l(q) = 7*w(q) - 5*z(q). Let u(c) be the first derivative of -5*c**3/3 - 5. What is u(l(h))? -20*h**4 Let x(g) be the third derivative of 23*g**4/24 - 10*g**2. Let n(j) = -2*j. Give n(x(r)). -46*r Let v(d) = -11*d + 1. Let r(c) = 3*c**2. Give v(r(o)). -33*o**2 + 1 Let r(a) = -2*a - 4. Let p(o) = 4*o + 9. Let y(b) = 4*p(b) + 9*r(b). Let d(h) = -3*h. What is y(d(w))? 6*w Let a(n) = 4*n**2. Let h(v) be the third derivative of -v**6/120 + v**3/2 + 3*v**2. Let w(u) be the first derivative of h(u). What is w(a(m))? -48*m**4 Let u(f) = 27*f. Let a(x) = -4*x - 2*x + 6*x - x**2. Give u(a(v)). -27*v**2 Let u(g) = 2*g**2. Let q(d) = -42*d**2 + 985 - 985. Calculate q(u(v)). -168*v**4 Let k(o) = -2*o**2. Let l(n) = 52*n**2. Determine k(l(h)). -5408*h**4 Let g(i) = 5*i**2 + 4. Let h(o) = 11*o**2 + 9. Let q(j) = -9*g(j) + 4*h(j). Let l(w) = 79 + 3*w**2 - 79. Determine l(q(y)). 3*y**4 Let r(k) be the second derivative of 0 + 0*k**2 + 0*k**3 + 2*k - 1/3*k**4. Let u(o) = -o. Determine u(r(a)). 4*a**2 Let f(x) = -x + 2. Let l(d) = -1. Let h(c) = 8. Let j(u) = -4*h(u) - 36*l(u). Let o(i) = 4*f(i) - 2*j(i). Let k(y) = y - 2*y + 0*y. Determine k(o(v)). 4*v Let x(g) = -g - 358 + 358. Let v(u) = -u - 5*u + u. Calculate v(x(j)). 5*j Let v(m) = -m + 10. Let j be v(8). Let o(b) = -j*b - 3*b + 5*b - 6*b**2. Let p(a) = 2*a. What is p(o(l))? -12*l**2 Let s(m) = -6*m**2. Suppose -4*w + 16 = -0*w. Let c(a) = 0*a**2 + 9*a**2 - w*a**2 - 6*a**2. Calculate c(s(o)). -36*o**4 Let r(h) = h. Let z(l) = 28*l. Calculate r(z(d)). 28*d Let p(a) be the third derivative of 0*a + 0*a**4 + 0 - a**2 + 0*a**3 + 1/30*a**5. Let o(b) be the third derivative of -b**5/30 + b**2. Calculate p(o(n)). 8*n**4 Let q(h) = -6*h**2 - 6*h**2 - 10*h**2 + 18*h**2. Let n(c) = -18*c. Give q(n(w)). -1296*w**2 Let g(m) = -4334*m**2 + 3. Let z(s) = -2*s. Give g(z(i)). -17336*i**2 + 3 Let r(g) = 6*g. Let p(t) be the second derivative of 0 + t + 1/6*t**3 + 0*t**2. Calculate r(p(o)). 6*o Let n(b) = -2*b**2 - 7*b**2 + 11*b**2. Let i(m) = -m**2. Give i(n(t)). -4*t**4 Let t(h) = -2*h**2. Let c = 7 + -5. Let b(s) = 0*s**c - 11*s**2 + s**2. Calculate b(t(l)). -40*l**4 Let k(x) = 4*x. Let l(i) be the first derivative of 0 - 1 + i**2 + 5. Determine l(k(y)). 8*y Let m(a) be the first derivative of -a**3/3 + 2. Let l(u) = 6 + 9*u**2 - 2 - 9. Let n(d) = 5*d**2 - 2. Let j(q) = 2*l(q) - 5*n(q). Give j(m(w)). -7*w**4 Let b(n) = -2*n**2 - 5*n - 5. Let k(j) = -j**2 - 2*j - 2. Suppose 4*d + 5 = -15. Let o(l) = d*k(l) + 2*b(l). Let h(c) = -10 - 5 - c**2 + 15. Give o(h(x)). x**4 Let y(a) be the second derivative of -a**5/60 - 3*a**2 - 4*a. Let i(s) be the first derivative of y(s). Let v(u) = 0*u + 5*u - 3*u. What is i(v(p))? -4*p**2 Let a(l) = -35*l**2. Let d(z) = z**2 - 3*z. Let w(x) = -2*x**2 + 4*x. Let s(h) = 4*d(h) + 3*w(h). Calculate a(s(m)). -140*m**4 Let y(v) = 24*v**2 - 33. Let d(w) = 3*w**2 - 4. Let t = -7 - -40. Let x(o) = t*d(o) - 4*y(o). Let r(s) = -2*s. What is x(r(l))? 12*l**2 Let p(r) = -r**3 - 7*r**2 + 2. Let n be p(-7). Let v(j) be the third derivative of 0 + 1/60*j**5 + 0*j**4 + 0*j**3 - n*j**2 + 0*j. Let i(t) = 3*t. Give i(v(s)). 3*s**2 Let k(q) be the third derivative of q**4/8 + 6*q**2. Let r(c) = 5*c**2. Give r(k(a)). 45*a**2 Let q(v) = 2*v**2. Let i(w) = -w. Let l(m) = 2*m + 4*m - m + 3*m. Let j(x) = -6*i(x) - l(x). Give j(q(s)). -4*s**2 Let t(l) = -8*l - 5. Let d(p) = -24*p - 16. Let h(c) = -5*d(c) + 16*t(c). Let x(i) = 4*i**2. Calculate h(x(j)). -32*j**2 Let a(v) = 2*v. Let b(f) = 2*f**2 + 1450. Calculate a(b(t)). 4*t**2 + 2900 Let g(x) = 10*x**2. Let y(m) = -394*m. Give g(y(l)). 1552360*l**2 Let j(z) = z**2. Let s(m) = 141*m. Give j(s(h)). 19881*h**2 Let a(v) = -v**2. Let m(j) = 19*j**2 - 16. Give m(a(x)). 19*x**4 - 16 Let m(r) = -374*r**2. Let z(q) = -3*q. Give m(z(k)). -3366*k**2 Let d(b) = -b**2 - 321*b + 321*b. Let w(h) be the second derivative of -h**4/4 + h. What is w(d(t))? -3*t**4 Let b(g) = -2*g - 5982 + 5982. Let h(c) = 7*c**2 + 35. Let n(z) = 1. Let v(i) = h(i) - 35*n(i). What is b(v(d))? -14*d**2 Let f(u) = -u**2. Let l(i) be the first derivative of -5/2*i**2 + 2 + 0*i. Determine f(l(p)). -25*p**2 Let m(r) = 31*r. Let o(t) = 2*t. Calculate o(m(u)). 62*u Let z(g) = 19*g**2 + 1 + 3 - 4. Let s(i) = -i**2. Determine s(z(k)). -361*k**4 Suppose 0 = -5*g + 4*g + 7. Let m(r) = -g*r + 6*r + 9*r + 9*r. Let p(v) = -v. What is p(m(l))? -17*l Let y(p) = -27*p. Let l(a) = 5*a. Calculate l(y(t)). -135*t Let k(j) = -j. Let d(o) = -68*o. Determine k(d(p)). 68*p Let j(o) = 20*o**2. Let i(h) = -1532*h**2. Determine i(j(d)). -612800*d**4 Let j = -5 - -8. Let x(l) = -13*l + j + 11*l - 3. Let m(y) = y. Determine m(x(f)). -2*f Let d(v) = -v. Let i(u) = 44*u + 11. Let c(h) = -9*h - 2. Let l(g) = -11*c(g) - 2*i(g). Calculate d(l(s)). -11*s Let l(d) be the second derivative of -d**7/420 + d**4/6 + d. Let v(q) be the third derivative of l(q). Let o(k) = 2*k. What is v(o(f))? -24*f**2 Let q(d) be the first derivative of 0*d + 1/2*d**2 + 6. Let f(c) = -5*c**2. What is q(f(u))? -5*u**2 Let f(q) = -2*q**2. Let k(o) be the third derivative of -o**8/4032 - o**5/12 - 3*o**2. Let p(d) be the third derivative of k(d). Give p(f(t)). -20*t**4 Let k(d) = 4*d**2. Let h(b) = -253*b. What is h(k(o))? -1012*o**2 Let a(c) = 7*c**2. Let d(t) = -16 + t**2 + 16 - 2*t**2. Calculate d(a(p)). -49*p**4 Let w(d) = -d + 8. Let x(u) = 1. Let f(z) = 3*w(z) - 24*x(z). Let q(n) be the third derivative of -n**4/8 + n**2. Calculate f(q(b)). 9*b Let f(h) = 2*h. Let j(w) be the second derivative of -2*w**3/3 + w. Let g(i) = i. Suppose -3*k = -4*k + 2. Let u(n) = k*j(n) + 10*g(n). Give f(u(y)). 4*y Let n(p) be the second derivative of -p**6/360 + p**3/6 + p. Let y(s) be the second derivative of n(s). Let d(l) = 5*l - 4*l - 2*l. What is y(d(q))? -q**2 Let r(m) = -135*m - 70. Let z(j) = -23*j - 12. Let v(b) = -6*r(b) + 35*z(b). Let d(h) be the first derivative of -2*h**3/3 - 1. What is v(d(f))? -10*f**2 Let v(f) = 2*f**2. Let c(x) = -x. Let a(o) = -35*o. Let b = 1 - -29. Let l(m) = b*c(m) - a(m). What is v(l(t))? 50*t**2 Let c(j) = -5*j**2. Let k(q) be the second derivative of 0*q**2 + 0 + 1/6*q**3 + 7*q. What is c(k(x))? -5*x**2 Let i(a) = -3*a**2. Let l(p) = 7*p**2. Determine i(l(d)). -147*d**4 Let q(n) = 2*n**2. Let l(x) = -11*x**2 + x**2 + 56*x**2 + 12*x**2. Give q(l(z)). 6728*z**4 Let f(t) = 4*t - 2. Let l(x) = -3*x + 1. Let a(s) = -f(s) - 2*l(s). Let j(w) = -3*w**2 - 6*w**2 - w**2. Calculate j(a(i)). -40*i**2 Let z(w) = -w**2. Let s(g) = -4*g + 0*g + 6*g + 5*g. Calculate s(z(p)). -7*p**2 Let p(c) = -60*c**2 - 2*c + 2. Let j(x) = x. What is p(j(l))? -60*l**2 - 2*l + 2 Let b(c) =
{ "pile_set_name": "DM Mathematics" }
ger than 4422/2221? True Do 21 and -16058 have the same value? False Is -2111938 equal to -2111938? True Which is smaller: -140 or -14/109? -140 Is -43588 < -43608? False Is -67970 >= -67970? True Which is greater: 84155 or 84148? 84155 Do -2/2016229 and -1 have the same value? False Is 49/122 at least as big as -1? True Is -9939/386 > -26? True Is -18821 <= -18826? False Do -26 and -22.82 have different values? True Is -16728 bigger than -16620? False Which is smaller: -2431 or -2437? -2437 Is -4/411549 equal to -1? False Is 811854 > 0? True Does -261 = -91? False Does -28128 = -28127? False Which is greater: -134771/5 or -26953? -26953 Is 1/257907 less than 0? False Which is smaller: -1/2 or -550343? -550343 Which is smaller: -429/1631 or 1? -429/1631 Is 3/16472 bigger than -1/117? True Is 72778 at least 72790? False Is 1 at most -3/46117? False Which is greater: -359 or -1303? -359 Is 55675 at most 278376/5? True Is -6808/43 less than or equal to -158? True Are 1/3 and -7066.8 non-equal? True Which is smaller: -1 or -7/1532? -1 Is -1528 < -1547? False Which is greater: -4843 or -53259/11? -53259/11 Which is bigger: -7 or 24144? 24144 Do 70253 and -0.21 have different values? True Is -751/3 greater than or equal to -3/5? False Which is smaller: 0.1 or -361223? -361223 Which is smaller: -4/2781 or 0? -4/2781 Which is smaller: -1724 or -1726? -1726 Is 218530 bigger than 1092653/5? False Which is greater: 3/3615026 or -1? 3/3615026 Which is greater: 2236 or 2243? 2243 Which is bigger: -228 or 2182? 2182 Which is smaller: 33918/13 or 0.5? 0.5 Is 25869/8 smaller than 3233? False Which is greater: 4259 or 4265? 4265 Which is greater: -5/56464 or 0? 0 Which is smaller: 0 or -3/43519? -3/43519 Are 782 and 7 non-equal? True Is -155552 bigger than -155546? False Is 6976 greater than or equal to 6962? True Which is greater: -100956/181 or -558? -100956/181 Is -1 > 2/5747? False Is -35811 less than or equal to 1/4? True Is -12228 bigger than -12231? True Is -1018485 > -1? False Is -3731 less than 5/67? True Is -23464 != -23466? True Which is smaller: 37972 or 37970? 37970 Which is smaller: -17/1397 or -2/3? -2/3 Is -6/35 greater than or equal to 1808? False Which is smaller: 1 or -17/5140? -17/5140 Is -10434 > -10442? True Which is smaller: -7/20802 or -1? -1 Which is greater: 1586 or 276? 1586 Which is greater: -184239 or -184233? -184233 Is 1 not equal to -3049952? True Which is smaller: -13998 or -237982/17? -237982/17 Is 10384 less than 10389? True Which is bigger: -23398 or -23401? -23398 Do -401431 and -401431 have different values? False Do 123/41956 and 1 have the same value? False Which is greater: -158026 or -158027? -158026 Is -4 at most as big as -198303? False Is 398611 less than 398611? False Are -1 and 361/2156 nonequal? True Which is greater: 60/2069 or -2.3? 60/2069 Which is smaller: 0.1 or 3728.92? 0.1 Is 1 at most -3/65656? False Is -457 at most 169? True Is -1418 less than or equal to -1425? False Which is bigger: 880 or -58? 880 Which is bigger: 117 or 43? 117 Is -1251954 smaller than 1/2? True Which is smaller: 28642 or 28651? 28642 Which is greater: -683304 or -683302? -683302 Is -1194 smaller than 671? True Do 2/10205 and -15 have the same value? False Which is bigger: 41/38879 or -1? 41/38879 Is 13311/2 <= 6655? False Is -10726 not equal to -75086/7? True Is 5686 > 5690? False Is -5/84272 >= -1? True Is 34154 at most 17/3? False Do 26.453 and 7 have the same value? False Is -2 bigger than 12644.3? False Which is smaller: 20677 or 20673? 20673 Is -3491494/3 at least -1163832? True Which is smaller: 281/2 or 1/20? 1/20 Which is smaller: -0.15 or -17181? -17181 Does -66220 = -66219? False Is -2/7 greater than 20904? False Is 29946 less than 29946? False Is 0 not equal to 84/525041? True Which is smaller: 406662 or -1? -1 Which is greater: -5323048 or 1? 1 Is 15099.1 smaller than -2? False Is 107672 > 107675? False Do 19 and 2347/117 have different values? True Is -20592/17 at most -0.8? True Which is smaller: -3427 or -3476? -3476 Which is smaller: -2/81469 or -0.3? -0.3 Is -2269 greater than or equal to -3/7? False Do -274173 and -274173 have the same value? True Is -1 bigger than -716/3823? False Is 1 at least 1/166051? True Which is smaller: -7198 or -7200? -7200 Which is smaller: -444/2681 or -1? -1 Is 4589 less than or equal to 4589? True Is 7753 smaller than 7760? True Is 2/37 less than or equal to -2948.25? False Which is bigger: -1 or -63/5494? -63/5494 Is -43990 less than or equal to -87981/2? False Which is smaller: 104868 or 0? 0 Which is smaller: 461/739 or 3/4? 461/739 Which is smaller: 216035 or 216032? 216032 Which is smaller: 74358 or 74355? 74355 Is 6 at least as big as 1142.42? False Which is bigger: 66653 or 3? 66653 Is -2 <= 107? True Is -40/1741 at most 0? True Is -0.11 smaller than 1/1408? True Is 124 smaller than 0.434? False Are 14034 and 14040 equal? False Which is smaller: 0 or 105260? 0 Which is smaller: -59501 or -59502? -59502 Is -10 bigger than -797/87? False Which is greater: 3500 or 101538/29? 101538/29 Which is bigger: -51660 or -51661? -51660 Is 83 > 2761? False Is -3737 >= -3739? True Which is bigger: -0.2 or 35214? 35214 Is -2 bigger than -413/165? True Are -2375 and -2835 non-equal? True Which is greater: 2315 or -0.09? 2315 Are -1 and -4/458207 unequal? True Is 0.1 bigger than -2410? True Which is bigger: -2306 or 885? 885 Which is smaller: 0 or -4/1193? -4/1193 Which is greater: 0 or -108.969? 0 Which is greater: -137 or 30/11? 30/11 Is -13128256 less than -13128255? True Which is bigger: -2/7 or 233.71? 233.71 Is 0 >= 2/249789? False Which is smaller: 14700 or 191114/13? 14700 Which is smaller: -6/16817 or -9? -9 Is -15656/13 at most as big as -1? True Is -1182.46 greater than -2? False Is -52 greater than 320? False Which is smaller: -0.02 or 94.535? -0.02 Which is smaller: -8629/15 or -575? -8629/15 Which is smaller: 18/391 or 7? 18/391 Which is smaller: -1.3659 or 120? -1.3659 Is -304 < -172? True Is 240 <= -127? False Which is bigger: -11983 or -12137? -11983 Is -1 > -2/488819? False Is -20433 less than or equal to -20482? False Which is greater: 210506 or 1473543/7? 1473543/7 Is -4 less than -145/53? True Is -4102 at most as big as -4104? False Is -2 greater than or equal to -326/109? True Is 0 < 1/67875? True Is -76868 equal to -76868? True Do -1 and -13/692760 have different values? True Is -7308776 < -7308778? False Are 434/12459 and 0 non-equal? True Which is smaller: -181/17844 or -1? -1 Is 164653 >= 164651? True Is -1 not equal to -10/98229? True Which is bigger: -19 or 1.876? 1.876 Which is smaller: -1453 or -1493? -1493 Is -6499 equal to -6498? False Is 0.00043 less than or equal to -1.05? False Which is smaller: 2/360121 or 0? 0 Is -1 smaller than 522322? True Are 2897 and 26083/9 equal? False Are -8688 and -8671 non-equal? True Are -6768612 and -6768613 nonequal? True Which is smaller: -1 or -147/7622? -1 Which is greater: 14 or 6/481? 14 Is -2087 greater than -0.0369? False Is -37523 < -2/11? True Which is smaller: -1438 or -1936? -1936 Which is smaller: -14/9 or 76814? -14/9 Which is greater: -70003/41 or -1707? -1707 Does -179 = -124? False Which is smaller: 2/138979 or -2/11? -2/11 Which is bigger: -3005 or -3004? -3004 Which is smaller: -3914 or -22? -3914 Which is bigger: 0.1 or -5365112? 0.1 Which is smaller: -16557 or -16509? -16557 Is 192 < -30.7? False Are 1.9305 and 4 unequal? True Which is greater: -38 or -4571/120? -38 Do 1/107229 and 0 have different values? True Which is bigger: -4/9 or 694869? 694869 Which is smaller: 6983 or 6981? 6981 Are -0.1543 and 4/9 non-equal? True Which is smaller: 84039/157 or 536? 84039/157 Is 496/8845 equal to 1? False Is -33 at least -569/17? True Is -345/10711 < 1? True Is 2/15 != 81620? True Which is smaller: -42098 or -42099? -42099 Is -16 bigger than -16446/949? True Which is bigger: -3.299 or -4/11? -4/11 Is -3006 less than -39070/13? True Are -5318 and -5264 unequal? True Which is smaller: 4533077 or 4533078? 4533077 Is -3/38413 greater than 1? False Is -10724 greater than or equal to -10723? False Is -123739 smaller than -123736? True Is 16795 not equal to 83972/5? True Is -10502 greater than -10530? True Is 445 smaller t
{ "pile_set_name": "DM Mathematics" }
is divided by u? 11 Suppose -211 = -3*f + g - 6*g, 3*f - g = 181. What is the remainder when f is divided by 30? 2 Suppose -2*b + 4*i = -8, 6*i - i = 2*b - 6. What is the remainder when (42/(-8))/(12/(-32)) is divided by b? 6 Suppose 6*y + 2*y - 272 = 0. Calculate the remainder when y is divided by (-105)/(-12) + 5/20. 7 Suppose 3*r = b - 11, -2*r - 13 = -4*b + 11. Suppose 4*l - 10 = b*l. Let o = l - -14. What is the remainder when 6 is divided by o? 2 Suppose 135 = -9*m + 486. Calculate the remainder when 44 is divided by m. 5 Calculate the remainder when 389 is divided by (-4 - (-132)/11) + -1 + 1. 5 Let u = 1635 + -1349. What is the remainder when u is divided by 60? 46 Let g(c) = -c**2 - 30*c - 69. What is the remainder when g(-26) is divided by (-48)/28*42/(-4)? 17 Suppose -16 - 26 = -3*b. Let i(t) = -96*t. Let u be i(-1). Let j = u + -57. What is the remainder when j is divided by b? 11 Suppose -4*k = 3*o - 35, -2*k + 17 = -2*o + 3*o. Let r be 604/k - (-1)/2. Suppose -2*z = 2*z - r. Calculate the remainder when z is divided by 7. 5 Suppose 0 = 4*h - 0*h. Suppose 4*b - 2*d - 79 - 75 = h, -5*b + 187 = 3*d. What is the remainder when b is divided by (-9 - -15) + 4 + -2? 6 Suppose 3*d + n = 3, 3*d + d - 3*n - 4 = 0. Calculate the remainder when (4/1)/((-3)/(-21)) is divided by (4 - 22/6)/(d/24). 4 Let j(s) = s**3 + 8*s**2 - s - 8. Let w be j(-8). Suppose w = -6*a + 53 + 43. What is the remainder when 62 is divided by a? 14 Suppose -7*y + 12*y + 20 = 0. Let s(o) = 6*o**2 + 4*o + 3. What is the remainder when s(y) is divided by 28? 27 Suppose 8 + 2 = h. Suppose -22*x + 152 = -14*x. What is the remainder when x is divided by h? 9 Let f = -9 + 93. Let y = f - 76. What is the remainder when 70 is divided by y? 6 Let l(t) = 4*t - 26. Let c = -41 + 59. Calculate the remainder when l(c) is divided by 16. 14 Let d(m) be the third derivative of m**5/60 + m**3/6 + 13*m**2. Let r be d(2). Suppose -5*h = -r - 25. Calculate the remainder when 16 is divided by h. 4 Let h(u) = -7*u + 1. What is the remainder when h(-4) is divided by 3? 2 Suppose 0 = -4*v - 3*y + 24, -2*v + 10 + 2 = 2*y. Suppose -5*r + 4 = -3*o + v, r = -3*o + 32. Calculate the remainder when 2/5 + (-236)/(-10) is divided by o. 6 Suppose d - o - 1 = 0, 3*d - o = -d + 13. Suppose 23 = 351*a - 350*a. Suppose -a = -k + l, k + 2*l - 4 = d. What is the remainder when 34 is divided by k? 16 Let i(z) = 3*z + 7. Suppose -5*l + 4*u + 71 = 0, u + 35 = 5*l + 6*u. What is the remainder when i(l) is divided by 7? 5 Let c be 3 - 6/(-15)*(7 + -2). Calculate the remainder when 18 is divided by c/(-15)*(-2 - 2*8). 0 Suppose 2*k + 3*k + 47 = 2*o, -69 = -4*o + 5*k. Let b = -78 + 94. Let m = 34 - b. Calculate the remainder when m is divided by o. 7 Suppose 9 = 2*m - 2*t + 5, 0 = 5*m + 4*t - 19. What is the remainder when 54 is divided by m? 0 Suppose 0 = -0*b - b - 5, 3*m + 4*b = 76. What is the remainder when m is divided by 5? 2 Let t be (16 + -1 + -1)*5/10. Let l(j) = -2*j**2 + 13*j + 27. Calculate the remainder when 115 is divided by l(t). 15 Suppose -70*v + 72*v - 3*l - 50 = 0, 0 = -v - l + 25. What is the remainder when v is divided by 17? 8 Suppose z + 150 = 2*t, 4*z + 276 - 46 = 3*t. Calculate the remainder when 219 is divided by t. 71 Let c be (2/(-3))/(17/(-51)). Calculate the remainder when 25 is divided by (-1*1/c)/(7/(-112)). 1 Let o = -443 + 462. Suppose -3*c - 53 = -5*h - 9, 2*c - 1 = -h. Calculate the remainder when o is divided by h. 5 Suppose -4*g = -5*p + 85, 3*p - 51 = 2*g - g. Suppose -r + 57 + 9 = -2*m, r = -m + 66. Calculate the remainder when r is divided by p. 15 Suppose -5 = x + 55. Let w be (x/14)/((-2)/(-14)). Let h = w - -54. What is the remainder when 45 is divided by h? 21 Let b(q) = q - 1. Let d be b(8). Suppose -330 = -2*s + d*s. Let f = -42 - s. What is the remainder when f is divided by 14? 10 Let c be 1/(-3) + 295/3. Let l = 140 - 207. Let a = c + l. What is the remainder when a is divided by 11? 9 Let l(d) = -2*d**2 - 42*d - 214. Calculate the remainder when -1 - 1*-3 - -7 is divided by l(-10). 3 Suppose -3*t + 0*t + 4*p + 59 = 0, -4*t + 67 = -3*p. Calculate the remainder when t is divided by 13. 0 Let u(n) = 5*n + 49. Calculate the remainder when u(-4) is divided by 21. 8 Let v = 109 - 113. What is the remainder when 149 is divided by (-3*5)/(1/v*2)? 29 Let y = 137 - 200. Let h = -50 - y. Let k(x) = 48*x**2 + x. Calculate the remainder when k(1) is divided by h. 10 Suppose 5*l - 1946 = 3*d, 16*d = 4*l + 21*d - 1542. What is the remainder when l is divided by 13? 11 Suppose -3*t - t - 2*a = 212, -t - 64 = -5*a. Let m = -35 - t. What is the remainder when m is divided by 4? 3 Suppose -g + 3*o + 1982 = 4*g, -4*g = 3*o - 1564. Calculate the remainder when g is divided by 80. 74 Let s = -21 - 48. Let z = s + 89. What is the remainder when ((-19)/3)/((-2)/24) is divided by z? 16 Let v(t) = -t**3 - 6*t**2 + 16*t + 3. Let b be v(-8). Calculate the remainder when (b/(-12) - 2)*(-80)/4 is divided by 17. 11 Suppose -5*q - 1131 = -44*q. Calculate the remainder when 112 is divided by q. 25 Suppose 0 = -5*t + 3*t + 2. Let y(a) = -27*a + 27*a + t + 6*a**2. What is the remainder when y(-1) is divided by 5? 2 Let t(a) = -a - 1. Let g(b) = -b**2 - 6*b + 5. Let h(r) = g(r) + 2*t(r). What is the remainder when 19 is divided by h(-7)? 9 Let b(y) = -y**2 + 8*y - 2. Let j be b(4). Suppose -v = -2*v + a + j, -4*v - 4*a = -64. What is the remainder when 39 is divided by v? 9 Let n = -122 - -173. Calculate the remainder when n is divided by 26. 25 Suppose -4*w + 0*b = 2*b - 1120, 0 = 5*w + 4*b - 1403. Calculate the remainder when w is divided by 14. 13 Suppose 2*i - k = 56, -182 + 24 = -5*i - 2*k. What is the remainder when i is divided by 21? 9 Suppose -g = 4, 0*u - 5*g - 23 = -u. Suppose 0 = -u*l - l + 92. What is the remainder when l is divided by 5? 3 Let v(g) = 3*g**2 - 8. What is the remainder when 47 is divided by v(-2)? 3 Suppose 2*f = -v + 6*v - 390, -v - f + 78 = 0. Suppose v = 3*p - 81. Let x = p - 32. What is the remainder when x is divided by 6? 3 Let z(k) = 21*k**2 + 9*k - 3. What is the remainder when z(2) is divided by 20? 19 Let s = -232 - -253. Suppose -5*f - 38 + 293 = 0. Suppose -22*o = -s*o - f. Calculate the remainder when o is divided by 18. 15 Calculate the remainder when (-1)/(-2) + (-11394)/(-36) + 5 is divided by 27. 25 Suppose y = -3, 0 = 4*a + 5*y + 7. Suppose -15 = -a*j + 5. Let o(m) = 6*m + 13. Calculate the remainder when o(j) is divided by 19. 16 Let w(a) = 8*a**2 + 2*a - 4. Let s be w(4). Suppose v = -56 + s. Calculate the remainder when v is divided by 7. 6 Let w(j) = -j**2 + 5*j - 1. Let z be w(4). Suppose 4*c + k - 97 = 6*k, 2*c = z*k + 51. Calculate the remainder when (188 - 32)*((-4)/6 + 1) is divided by c. 16 Suppose -3*z - 2*t = -7*t - 310, t - 90 = -z. Let k = -42 + z. What is the remainder when k is divided by 8? 5 Suppose -3*q + 1 = -14, b - 122 = -5*q. Calculate the remainder when b is divided by 25. 22 Let v be (-4)/((-2 - 1)*-1 - 2). Let a = v + 41. Calculate the remainder when a is divided by 13. 11 Let m = 123 - 55. Calculate the remainder when (-19 + 20)/(1 - m/70) is divided by 6. 5 Suppose -3*l = -3, -4*l = 3*k - 32 - 149. Calculate the remainder when k is divided by 10. 9 Let l be (-160)/(-28)*(-14)/(-4). Suppose -5*k + l + 0 = 0. What is the remainder when 9 is divided by k? 1 Suppose 14 = 4*h - 2. Let j(o) = -o**2 + 27*o - 171. What is the remainder when j(14) is divided by h? 3 Let f(p) = -p**3 - p**2 + 10*p + 13. Let k(a) = -2*a**2 + 15*a + 22. Let r be k(9). Calculate the remainder when f(r) is divided by 8. 7 Let d = -15 + 43. Calculate the remainder when 135 is divided by d. 23 Let r(w) = 2*w**2 + w - 15. Let q = 15 + -4. Calculate the remainder when q is divided by r(3). 5 Let b = -44 + 49. Let m be 19/(-2)*1*-6. Suppose -a = 2*a - m. What is the remainder when a is divided by b? 4 Suppose -7 = -2*f - 5*j, 2*f + 2*j - 21 - 1 = 0. Let d(p) = -2*p**2 - 38*p + 6. Calculate the remainder when d(-17) is divided by f. 10 Suppose 3*c - 11 = -h, 3 + 1 = 4*h + 2*c. Let s = h + 3. Suppose -s*f + 27 = -f. Calculate the remainder when f is divided by 15. 12 Let q be (4 + (-117 - 3))/(-1). What is the remainder when 14 is divided by 54/8*q/87? 5 L
{ "pile_set_name": "DM Mathematics" }
, 18, 2? 2/7 Which is the third biggest value? (a) 59 (b) 5 (c) -0.403 (d) 0.4 d What is the third smallest value in 178, 1, -2/5, -0.5, 2/9, 2/21? 2/21 Which is the second smallest value? (a) -1/7 (b) -0.0032 (c) 3 b Which is the second smallest value? (a) -0.2 (b) 86 (c) -6 (d) -4/3 d What is the second smallest value in 2/9, 219.1, -3/10, -1/5? -1/5 Which is the second smallest value? (a) 5 (b) 117 (c) 4 (d) -0.6 (e) -5/16 (f) -3 d What is the second biggest value in -0.0576, -2/39, -0.5? -0.0576 What is the fourth biggest value in 29, -5/7, 20, -1.8? -1.8 Which is the second biggest value? (a) -1/15 (b) -93/23 (c) -4 c Which is the second smallest value? (a) 4 (b) -2 (c) 0.3 (d) 27 (e) 0.2 e What is the sixth biggest value in -4, -99, -1/5, 19, 4, -4/5? -99 What is the second smallest value in -910, 8, 2/9? 2/9 Which is the biggest value? (a) 0.4 (b) 8 (c) -1 (d) -0.022 (e) 31 e Which is the second smallest value? (a) 1065 (b) -16 (c) 0.5 c What is the biggest value in -2, 16.9, -14107? 16.9 Which is the third smallest value? (a) 3 (b) -0.5 (c) -4 (d) -9.3 b Which is the second biggest value? (a) -8 (b) -0.4 (c) -13695 (d) -0.2 b What is the second smallest value in -5, 7, -393, -2/21, -1, 0.5? -5 What is the biggest value in 1114, -3, 4/81? 1114 Which is the third smallest value? (a) 2393 (b) -11 (c) -5 (d) -4 (e) -0.5 d What is the second biggest value in 47, -1.3, -24, 0? 0 What is the second biggest value in -1, 0.13831, 0.1, -4? 0.1 What is the fourth biggest value in 0.4, 0.06, -4, 5, 26, -16? 0.06 Which is the second biggest value? (a) -0.709 (b) 0.5 (c) -47 a What is the fifth biggest value in 14, 0, 22, 2, 0.5, 69? 0.5 What is the second smallest value in 0.2, 0.08, -5, -175, 2/3? -5 Which is the third smallest value? (a) -1421 (b) -1/5 (c) -0.02 (d) 3 (e) 2/7 c What is the third smallest value in 4, 774, -1, 738, -2? 4 Which is the third smallest value? (a) 191 (b) 0.1 (c) -1 (d) -58 b Which is the second biggest value? (a) -447 (b) 1/2 (c) -14 c What is the smallest value in 0.3582, -0.1, 0.4? -0.1 What is the second smallest value in -0.035, -7, -2/13, -0.4? -0.4 What is the second biggest value in -41, -2394, 2? -41 Which is the smallest value? (a) -0.08 (b) 2/9 (c) 13 (d) 5 a What is the second smallest value in 2, -438, 4/3, -0.3, 0, 3? -0.3 Which is the second smallest value? (a) -0.8 (b) -1727/18 (c) 1 a What is the fourth biggest value in -0.4, 4, -0.9, 0.8, 1/46, -0.1? -0.1 What is the third smallest value in -6, -12/221, 2, -7? -12/221 Which is the third smallest value? (a) -4/2061 (b) -1.21 (c) -1/4 a Which is the smallest value? (a) -19.6 (b) 2/9 (c) -62 (d) -11 c Which is the third smallest value? (a) 1/4 (b) 3 (c) -4 (d) -539/38 a Which is the third biggest value? (a) -10.5 (b) -0.0422 (c) 2 a What is the second smallest value in 62/15, 13, -0.1? 62/15 Which is the third biggest value? (a) 0.15 (b) 5 (c) -0.143 c Which is the biggest value? (a) -1 (b) 2/5 (c) -0.2 (d) -30.1 b What is the third biggest value in -2/11, 0.5, -183, 6.5? -2/11 What is the third biggest value in 3, -4, -1/9, -0.4, -0.04, -57? -1/9 Which is the third smallest value? (a) 2 (b) -2427561 (c) 0.5 a What is the third smallest value in -0.09, 3/2, 1/5, -158, -16, -1/5? -1/5 Which is the third smallest value? (a) -2 (b) -84988 (c) 4 c Which is the biggest value? (a) 4 (b) -3 (c) 5960 c What is the fourth biggest value in 0.1, 0, 1973, -1/5? -1/5 What is the third biggest value in 1, 16, -1/6, 3/5, -49? 3/5 Which is the second smallest value? (a) 7 (b) -2 (c) -4 (d) 0.5 (e) 67.89 b What is the biggest value in -11, 3172, 1? 3172 What is the second smallest value in -2/5, -4/7, -6, 1/2, -4, -743? -6 What is the biggest value in 5, -1069, 4? 5 What is the sixth biggest value in -46, -0.4, 2, 0.4, 2/13, 96? -46 Which is the third smallest value? (a) -138053 (b) 0 (c) 0.1 c Which is the fifth smallest value? (a) 43 (b) 42/5 (c) 4 (d) 1/2 (e) 3/4 a What is the smallest value in -1.1, 1/6, -55.29? -55.29 Which is the third smallest value? (a) -4 (b) -0.3 (c) -3225 (d) -0.4 d Which is the fifth smallest value? (a) 2/13 (b) 5/3 (c) 1/2 (d) -84 (e) -0.2 b Which is the second smallest value? (a) 0.5 (b) -0.4 (c) -0.2 (d) 1/7 (e) 24/11 (f) 1/4 c Which is the fifth smallest value? (a) -5 (b) -5557 (c) 5 (d) -2/17 (e) 0 c Which is the third biggest value? (a) 1 (b) 5 (c) -60/443 c What is the fifth smallest value in -5, 3, -3/4, -666, 0.3? 3 What is the third biggest value in -4, 2/5, -2, -0.08, 0.3, -367? -0.08 Which is the second smallest value? (a) -2 (b) 1.917 (c) 4/9 c Which is the fourth smallest value? (a) -109 (b) 1 (c) -2 (d) -26 b What is the third smallest value in -2, -2/21, 1/7, 1/8, -1675, -4? -2 Which is the second biggest value? (a) 73 (b) -1 (c) -5 (d) 1/3 (e) -6 d What is the third smallest value in 0.8, -2, 2/3, 139/5, 17/4? 0.8 Which is the biggest value? (a) 2/9 (b) -2 (c) 1079/12 c Which is the fifth smallest value? (a) 1/2 (b) 1 (c) -1 (d) -3/2 (e) 1/9 (f) -450 a Which is the fourth biggest value? (a) 0.2 (b) 0 (c) -148 (d) -20 (e) -5/8 d Which is the biggest value? (a) -0.5 (b) -2 (c) 3 (d) -4/5 (e) -2/5 (f) -166 c What is the second biggest value in -4, -13, 0, 0.1, 23/10? 0.1 What is the third smallest value in 1, 3, -4981, 0.8, 5? 1 What is the second smallest value in 2, 2154, -12? 2 What is the third smallest value in 18, 14, -3? 18 Which is the biggest value? (a) 8 (b) -327 (c) -4 a Which is the fourth smallest value? (a) 0.1 (b) 4 (c) 1487/3 (d) 0.3 (e) -1 b What is the sixth biggest value in 3, -0.5, -14, -3, -5, -1.5? -14 Which is the third smallest value? (a) 4 (b) -0.06 (c) -14 (d) -3 (e) -0.07 e Which is the fifth biggest value? (a) 4 (b) -3 (c) -1 (d) -8.7 (e) -0.2 (f) 6 b What is the third biggest value in -2, 0.4, 590.7? -2 What is the fourth biggest value in -3, -4, 0, 70, 4, -5? -3 What is the second smallest value in 2, -1/3, -1127? -1/3 Which is the biggest value? (a) -20 (b) 3 (c) -0.4 (d) 261 (e) 2/11 d Which is the fifth biggest value? (a) 0.5 (b) -5/13 (c) -0.1 (d) -62 (e) 1/9 d What is the second smallest value in 0.14, -0.4, -2, 42.4? -0.4 What is the fifth biggest value in 3/3820, -3, 2, -2/3, -0.04, 1? -2/3 Which is the second biggest value? (a) -4 (b) -1468 (c) 3 a Which is the second smallest value? (a) 0.4 (b) 0.5 (c) 1/3 (d) 2 (e) -2/13 (f) -0.3 e What is the smallest value in 2, 1/6, -0.058, -5, 19? -5 What is the fifth biggest value in 1/7, -0.2, -0.3, 0.8123, 0.2, -1/2? -0.3 Which is the biggest value? (a) -5 (b) 5 (c) -52 (d) -2/5 b Which is the sixth biggest value? (a) 7.5 (b) -0.1 (c) -19 (d) 0 (e) -5/3 (f) -0.4 c What is the fourth smallest value in 0, 1/8, 19, 1/4? 19 What is the second biggest value in -0.5, -31, 2/7947? -0.5 What is the third smallest value in 2/7, 929, 3, 0.04, 1? 1 What is the second smallest value in -21, -5, -4, 0.4, -0.1, -2/411? -5 Which is the third biggest value? (a) -745 (b) -0.1 (c) 3990 (d) -3 d What is the third biggest value in 0.5, 423, 9, -0.5, -0.2? 0.5 Which is the smallest value? (a) 76 (b) -1/9 (c) 33 (d) 1 (e) 4 b Which is the second biggest value? (a) 0.2 (b) 22 (c) -4 (d) 15 (e) 0 (f) 3/7 d Which is the third smallest value? (a) 0.3 (b) 2/7 (c) 3 (d) -59 (e) 57/4 a Which is the second biggest value? (a) 0.1 (b) 104 (c) 1 (d) 1/2 (e) -3/8 c What is the second biggest value in 2/57, -93, 1/8? 2/57 Which is the third smallest value? (a) -2 (b) -10599 (c) 4/7 c Which is the smallest value? (a) -12 (b) 1.8 (c) -104 (d) 1/7 (e) -0.5 c What is the fifth biggest value in -11.3, -1, -3, -0.02, -2/17? -11.3 What is the third smallest value in -19, 250/11, 3? 250/11 What is the fourth smallest value in -0.3, -2, 356, -2/13, -2/3, -3? -0.3 What is the third smallest value in -109, -0.4, 67? 67 What is the smallest value in -18, 10, 2, -0.38? -18 Which is the fourth smallest value? (a) 5 (b) -1/8 (c) 1/12 (d) 35/29 (e) -5 d Which is the biggest value? (a) -30 (b) -197 (c) 12 c Which is the third smallest value? (a)
{ "pile_set_name": "DM Mathematics" }
= 0, 38*d - 17 = 35*d + g. Let l(v) = -18*v**3 - 3*v**2 + 3*v + 3. Let b(f) = 18*f**3 + 2*f**2 - 2*f - 2. Give d*b(a) + 4*l(a). 36*a**3 Let x(d) = -13*d**2 + 25*d**2 - d - 4*d**2 - 9*d**2. Suppose 0 = -7*y + 10*y + 6. Let v(f) = -2*f**2 + 0*f + 1 + 0 - 2*f. Give y*v(l) + 5*x(l). -l**2 - l - 2 Let p(j) = 2*j + 5. Suppose 2*u + 12 = -2*u. Let l(i) = -2*i - 4. Let k(v) = 8*v**2 - 30*v - 10. Let t be k(4). What is t*p(b) + u*l(b)? 2*b + 2 Let d(y) = y**2 + 3*y + 3. Let c(p) = p + 1. Let g(n) = -5*n**2 + 113*n + 167. Let k be g(24). Determine k*d(z) + 3*c(z). -z**2 Suppose 0 = 6*y - 3*y - 30. Let q(l) = 7*l - 7. Let n(p) = 2470 + 24*p - 76*p + 24*p + 24*p - 2466. Determine y*n(k) + 6*q(k). 2*k - 2 Let k(b) = 4. Let r(n) = n**2 + 28*n + 38. Calculate 4*k(g) + r(g). g**2 + 28*g + 54 Let u(n) = -9909*n**3 - 3*n**2 - 10*n + 25. Let s(r) = 3302*r**3 + r**2 + 3*r - 7. Calculate -7*s(d) - 2*u(d). -3296*d**3 - d**2 - d - 1 Let k(a) = -150*a + 3. Let s(p) = 163*p - 2. Let l(n) = -5*k(n) - 4*s(n). Let j(q) = -49*q + 3. Give -7*j(w) - 3*l(w). 49*w Let m(b) = -3*b**3 + 1. Let r(f) = 183*f**3 - 33*f - 1. Let o(g) = -3*m(g) - 3*r(g). Let h(x) = 11*x**3 - 2*x. What is -99*h(j) - 2*o(j)? -9*j**3 Let f(o) = 17*o - 4. Let g(b) = -4. Let s(x) = 3*x + 2. Suppose -5*c - 3*u + 7 = 12, 3*u = 5*c - 25. Let d(v) = c*g(v) + 3*s(v). What is 11*d(m) - 6*f(m)? -3*m + 2 Let q(w) = 31*w**3 + w**2 + 2*w + 5. Let x(n) = 7*n**3 + n**2. Determine q(j) - 6*x(j). -11*j**3 - 5*j**2 + 2*j + 5 Let g(j) = -3*j**2 + 5*j + 4. Let f(y) = 5*y**2 - 8*y - 6. Suppose 0 = -54*a + 61*a - 91. Suppose -a*z + 9 + 56 = 0. What is z*f(r) + 8*g(r)? r**2 + 2 Let r(q) = q + 1. Let b(m) = -67 - 82 + 5*m + 233 - 69. Calculate -2*b(o) + 30*r(o). 20*o Let u(o) = -14*o + 40. Let b(m) = 39*m - 79. Give 2*b(y) + 5*u(y). 8*y + 42 Let u(a) = -9 + 8 + 0 + 0. Let m(h) = h**2 - 9. Let l(d) = 2*m(d) - 18*u(d). Suppose 0 = -z + 2 + 4. Let r(y) = 9*y**2. What is z*r(n) - 26*l(n)? 2*n**2 Let y(f) = 2*f**3 - f**2 - 2*f - 2. Let w(x) = -x**3 + x**2 + x - 1. Suppose 4*d - 22 = -2*v, 8 = d + 3. Suppose 3*k - 5 = -2*k. Calculate k*w(t) + v*y(t). t**3 - t - 3 Let n(g) = -7*g + 2. Let l(a) = 6*a - 3. Suppose 8*s - 12*s + 8 = 0. Suppose 4*c - 12 = -3*r + 7*r, -2*r = 3*c - 9. Calculate c*n(h) + s*l(h). -9*h Let n(u) = 2*u**3 + 138*u**2 + 20*u + 14. Let q(p) = -3*p - 2. Calculate -2*n(d) - 14*q(d). -4*d**3 - 276*d**2 + 2*d Let s(f) = -3413*f**3 + 15*f**2 + 10. Let q(m) = 18638393*m**3 - 81912*m**2 - 54608. Calculate -5*q(v) - 27304*s(v). -3413*v**3 Let j(m) = -2*m**2 - 3*m - 4. Let b(u) = -4*u**2 - 7*u - 9. Let v = 3645 - 3641. Determine v*b(z) - 9*j(z). 2*z**2 - z Let n(w) = 5*w + 6. Let u = -21 + 12. Suppose 0 = -0*o - 2*o + 192. Let b(c) = 11*c - 97 + 206 - o. Give u*n(f) + 4*b(f). -f - 2 Let p be 2*(-120)/32*((-96)/(-20))/(-6). Let f(c) = 3*c**3 + 7*c**2 - 6*c - 1. Let k(x) = 3*x**3 + 6*x**2 - 5*x - 1. Determine p*k(g) - 5*f(g). 3*g**3 + g**2 - 1 Let r(d) = 3*d - d + 9 + 3*d. Let j = 139 - 142. Let n be r(j). Let a(c) = c - 1. Let s(b) = 11*b - 6. Determine n*a(p) + s(p). 5*p Let z(g) = -3*g**2 + 405*g - 812*g + 407*g - 4. Let q(j) = j**2 + 1. Give 4*q(d) + z(d). d**2 Let q(l) = -27*l**2 + 146*l + 4. Let v(i) = 28*i**2 - 169*i - 5. What is -7*q(w) - 6*v(w)? 21*w**2 - 8*w + 2 Let m(p) = p. Let f(d) = -17064*d. Determine f(j) + 10665*m(j). -6399*j Let g(h) = 5*h + 9. Let j(w) = 16*w + 13. Let q(m) = 22*m + 15. Let r(n) = 3*j(n) - 2*q(n). Determine 3*g(f) - 4*r(f). -f - 9 Let q(u) = -446*u - 9 + 9 + 0 + 447*u. Let n(h) = -6*h. Calculate -4*n(s) - 8*q(s). 16*s Let n(z) = -4*z**3 - 4*z. Let p(l) = 2*l + 9. Let a(k) = -k**2 - 9*k - 21. Let t be a(-6). Let v be p(t). Let i(w) = -11*w**3 - 11*w. Determine v*i(q) - 8*n(q). -q**3 - q Let f(p) = 18*p - 3. Let w be (-7)/((-637)/14) - 100/(-26). Let y(c) = 35*c - 5. Give w*y(t) - 7*f(t). 14*t + 1 Let j(s) = -s - 2. Let h = -96 - -99. Suppose 6*m - 5*i = m - 60, 5*i = -4*m - h. Let n(q) = -2*q - 7. Determine m*j(z) + 2*n(z). 3*z Let f(q) = -102*q + 16. Let h(n) = 209*n - 30. Calculate 5*f(a) + 3*h(a). 117*a - 10 Let y(o) = 244*o**3 + o**2 + 6*o - 10. Let r(c) = 238*c**3 + c**2 + 7*c - 11. Determine -8*r(n) + 9*y(n). 292*n**3 + n**2 - 2*n - 2 Let b(i) = -6*i - 2. Let f(h) = 5*h + 1. Let x(j) = -2*j**2 + 93*j + 1995. Let w be x(-16). What is w*f(k) - 4*b(k)? -k + 3 Let q(r) = 47*r**3 + 3*r**2 - 8. Let w(p) = 6*p**2 - 2. Give -q(f) + 4*w(f). -47*f**3 + 21*f**2 Let f(s) be the second derivative of -17*s**3/6 - s**2/2 + 1142*s. Let g(x) = -x - 1. Give 2*f(i) - 4*g(i). -30*i + 2 Let w(a) = -4323259*a**2 - 3098*a + 26333. Let z(l) = -13946*l**2 - 10*l + 85. What is 5*w(i) - 1549*z(i)? -13941*i**2 Let s(c) = 3*c**2 + 2*c - 2. Let y(q) be the third derivative of -q**5/30 - q**4/24 + q**3/6 + 488*q**2. Calculate -5*s(z) - 8*y(z). z**2 - 2*z + 2 Let t(d) = d**2 + 18*d - 257. Let i(r) = -2*r**2 - 42*r + 514. Determine 3*i(j) + 7*t(j). j**2 - 257 Let j(z) = -3*z - 214. Let s be j(-71). Let m(y) = -y**2 - 1. Let v(i) = 10*i**2 - 2*i + 3. Determine s*v(d) - 3*m(d). -7*d**2 + 2*d Let l(f) = 17505*f. Let m(u) = -2500*u. Calculate 5*l(x) + 36*m(x). -2475*x Suppose -5*s + 75 = -30*s. Let q(d) = -d + 14. Let j be q(8). Let o(y) = j*y - 8*y + 2 - 4. Let p(x) = -x**2 + 3*x + 3. Give s*o(r) - 2*p(r). 2*r**2 Let g be 44*((-81)/6)/(-9). Let a(v) = 176*v**3 - 33*v**2 - 33*v + 33. Let i(m) = 11*m**3 - 2*m**2 - 2*m + 2. Give g*i(l) - 4*a(l). 22*l**3 Let n(j) = -45*j - 36. Let l = 369 + -215. Let b be ((2/(-3))/2)/(l/462). Let r(d) = -d - 1. Calculate b*n(u) + 36*r(u). 9*u Let t(y) = -1943*y - 2. Let k(v) = -487*v - 1. Give 9*k(g) - 2*t(g). -497*g - 5 Let f be 234/12*-2*(-1)/(-3). Let z(g) = 7*g**2 - 6*g - 8. Let q(m) = 15*m**2 - 13*m - 17. Suppose 9 - 21 = -2*y. Determine f*z(a) + y*q(a). -a**2 + 2 Let g(u) = -2*u + 8347. Let r(b) = 5*b - 16710. Give -9*g(c) - 4*r(c). -2*c - 8283 Suppose -2*s + 16*s - 56 = 0. Suppose 8*w = s*w - 20. Let v(f) = f + 8*f**2 + f - 3*f**2 + 2. Let l(g) = 9*g**2 + 4*g + 3. Determine w*v(i) + 3*l(i). 2*i**2 + 2*i - 1 Let o(g) = -3 - 4 + 7 + 6 + 7*g. Let d(l) = 17 + 4 + 6*l - 10 + 7*l. Let v = 130 + -124. What is v*d(x) - 11*o(x)? x Let j = -4504 - -4501. Let h(b) = 3*b**2 - 8*b + 4. Let m(v) = -v + 1. Let a(y) = h(y) - m(y). Let q(k) = -k**3 + 2*k**2 - 6*k + 2. Give j*q(z) + 2*a(z). 3*z**3 + 4*z Let c(z) = -z**3 - z**2 + 2. Let w(p) = 406*p**3 - 6*p**2 + p + 12. Determine -6*c(k) + w(k). 412*k**3 + k Let m(s) = -9*s + 879. Let p(c) = 12*c - 1320. Give 7*m(z) + 5*p(z). -3*z - 447 Let l(d) = -2*d + 325. Let x(m) = 6*m - 946. Calculate 11*l(u) + 4*x(u). 2*u - 209 Let l(m) be the first derivative of 13*m**4/4 - m**3/3 + 49*m**2/2 + 5*m + 4940. Let r(b) = -3*b**3 - 12*b - 1. Determine -2*l(u) - 9*r(u). u**3 + 2*u**2 + 10*u - 1 Let x(t) = -159*t + 37*t + 35*t - 9 + 42*t + 48*t. Let r(c) = 2*c - 9. Give 4*r(p) - 3*x(p). -p - 9 Let j = 104 - 100. Let x(w) = -4*w + w + 0*w + j*w. Let g(z) = -2*z - 1. Determine -g(p) - x(p). p + 1 Let z(b) = -23*b**2 - 3*b - 8. Let v(q) = -17*q**2 - 3*q - 6. Let c(r) = -4*v(r) + 3*z(r). Let h(u) = -2*u**2 - u**2 + 16*u - 2*u**2. What is 11*c(n) - 2*h(n)? -n**2 + n Let i(m) = -361*m**2 + 333*m**2 + 32*m**2. Let t(j) = 2*j - 6. Let x be t(6). Let b(y) = 3*y**2. Calculate x*b(d) - 4*i(d). 2*d**2 Let g(q) = -13*q**2 - 34*q - 5. Let t(v) = 13*v**2 + 54*v + 6. Determine 3*g(s) + 2*t(s). -13*s**2 + 6*s - 3 Let i(r) = -5*r + 3. Let g be (-53 - -47)*(-4 + 5). Let v(t) = 25*t - 16. Calculate g*v(s) - 33*i(s). 15*s - 3 Let s(v) = -v**3 - 15*v. Let q(l) = 59*l + 773. Let h be q(-13). Let p(g) = -2*g**3 - 31*g. What is h*p(a) - 11*s(a)? -a**3 - 21*a Let y(w) = -11*w**2 + 2*w + 5. Let t(n) = -10*n**2 + 9*n**2 - 24*n + 22*n + 1 + 13*n**2 - 5. Calculate 6*t(d) + 5*y(d). 17*d**2 - 2*d + 1 Let w(n) = -2*n**3 - n**2 - n + 3. Let j(r) = -19*r**3 - 2*r**2 + 49*r + 6. What is j(c) - 2*w(c)? -15*c**3 + 51*c Let v(u) = 3*u**2 + u + 2. Let s(m) = -m - 1. Let k(p) = 2*s(p) + v(p). Let c(x) = -2*x + 8. Let y(n) = n - 8. Let f(z) = -c(z) - y(z). Give -f(l) - k(l). -3*l**2 Let f(o) = 70684*o + 1 - 70674*o - 7. Let z(c) = -9*c + 5. Determine 5*f(p) + 6*z(p). -4*p Let t(s) = 2*s**3 + 4*s**2 - 4*s - 5. Let v(b) = -52*b + 2337. Let o be v(45). Let u(d) = d**3 + 3*d**2 - 3*d - 4. Determine o*t(w)
{ "pile_set_name": "DM Mathematics" }
2996*v = -24208 for v. -8 Solve -198*u - 267*u = -86*u + 7959 for u. -21 Solve 409*v + 44110 = -393*v for v. -55 Solve 108*h + 7*h - 33*h + 469 = 15*h for h. -7 Solve -235*r + 38*r = 61*r + 105*r - 23958 for r. 66 Solve 4006*i - 3972*i + 1598 = 0 for i. -47 Solve 988*n = -39*n - 7739 + 41630 for n. 33 Solve -1984*d + 3819*d - 9365 - 7698 = 1986*d for d. -113 Solve 0 = 58*b + 115878 - 115414 for b. -8 Solve -2*c + 2535 = 2465 for c. 35 Solve -13633925 = 56*f - 13636837 for f. 52 Solve -9623*v + 9563*v + 1026 = -654 for v. 28 Solve 23532 = -124*r + 28492 for r. 40 Solve 758*k - 24403 - 3488 = 5*k - 4548 for k. 31 Solve 0 = 1312*j - 1239*j - 6716 for j. 92 Solve 13*o + 135*o + 854 + 330 = 0 for o. -8 Solve -67257 - 60711 = -2064*k for k. 62 Solve 532*d + 332*d + 569*d + 89470 = -512*d for d. -46 Solve 545*v + 595395 = 580680 for v. -27 Solve -13606*m + 46533 = -11553*m - 105389 for m. 74 Solve 0 = 5050*u - 1260*u + 523020 for u. -138 Solve -674 = 126*o - 249 + 2941 + 288 for o. -29 Solve -102840*x = -102818*x - 44 for x. 2 Solve 578*t = -3790*t + 375648 for t. 86 Solve -274*h + 6929 + 2774 = -12217 for h. 80 Solve -282*m - 450 = -53*m - 3066 - 2193 for m. 21 Solve -3306 = -2861*a + 2803*a for a. 57 Solve 9*l + 2086 = 3*l + 73*l - 3609 for l. 85 Solve -3482*t - 2249*t + 234102 = 1363*t for t. 33 Solve 24*z + 402*z + 14049 + 19179 = 0 for z. -78 Solve 568*g + 3302*g + 627300 = -1376*g - 3118*g for g. -75 Solve -96312 = -23779*k + 31805*k for k. -12 Solve -16994*u + 436672 = 344*u - 464904 for u. 52 Solve 63*u - 1188 - 145 = 14*u + 6*u for u. 31 Solve -29*v + 55*v + 20*v - 207 = 115 for v. 7 Solve -53*f - 61*f + 36565 = 78651 - 32852 for f. -81 Solve 605 - 320 - 119 = -156*m - 614 for m. -5 Solve -132*q = 95807 - 104123 for q. 63 Solve 0 = -12*y + 5492 - 12418 + 6362 for y. -47 Solve -170*c - 539*c - 52902 - 20512 = 72*c for c. -94 Solve 2138 = 171*s - 75*s + 7610 for s. -57 Solve -855*m = 1229*m - 97*m + 51662 for m. -26 Solve -2678*c = -564*c + 4404*c - 67734 - 49590 for c. 18 Solve -903 = -1250*x + 1149 + 1698 for x. 3 Solve 317*w - 3601*w + 12872 = -357*w - 22252 for w. 12 Solve 80*q + 22339 = 4*q - 5*q + 31816 for q. 117 Solve -144*v - 2163 - 901 = 48*v + 8264 for v. -59 Solve -105*x + 804*x + 80*x - 1 = -1 for x. 0 Solve -366563 = 12825*u + 845084 + 21107 + 524271 for u. -137 Solve -899*r - 864*r + 144756 = 1422*r - 243814 for r. 122 Solve -435*g - 1362*g = 7221*g + 360720 for g. -40 Solve -35*l - 11*l = -0*l for l. 0 Solve 234*a - 2280 = 159*a + 227*a for a. -15 Solve -6532*z - 130350 = -5347*z for z. -110 Solve -237*p - 31653486 = -31674816 for p. 90 Solve -653 = 23*c - 179 + 1006 + 61 for c. -67 Solve -30*m - 1250 - 473 = -343 for m. -46 Solve -863 + 2493 = -110*w - 1010 for w. -24 Solve 3255 = -1570*k - 7735 for k. -7 Solve -15544 + 5923 = -1196*q + 9387 + 27636 for q. 39 Solve 0 = -234*l - 2604 - 5046 - 4991 + 2813 for l. -42 Solve 31*s + 1186 = -41*s + 349*s + 6726 for s. -20 Solve 6784*n - 20358*n - 5328 = -6765*n - 6737*n for n. -74 Solve 35*r - 8940 = -8100 for r. 24 Solve -503*g - 192*g - 28551 = 20794 for g. -71 Solve -2729*c - 6502*c + 1305*c + 194863 = 1106353 for c. -115 Solve 852*j + 1118*j + 25625 = -248*j - 2907*j for j. -5 Solve -3918*z + 4033*z - 293 = 282 for z. 5 Solve 0 = 444*g - 20519 + 95 for g. 46 Solve 177*r - 3478 = 3425 for r. 39 Solve 2338 - 4117 - 10285 = -208*q for q. 58 Solve -736*w - 7518 - 11301 = 200*w - 3843 for w. -16 Solve 140*q + 578241 - 573761 = 0 for q. -32 Solve 281*s - 1205148 = -1222008 for s. -60 Solve 16404 - 46927 = 654*w + 34223 for w. -99 Solve -11*v + 494 = -6 - 39 for v. 49 Solve 11502 = 535*x + 6604 - 22387 for x. 51 Solve 1440*f + 6851 = 1843*f for f. 17 Solve -1685*f + 8678*f = 3190*f - 9573*f + 294272 for f. 22 Solve 54*v + 17794 = -70*v - 310*v for v. -41 Solve -2*b = 7*b + 36399 - 36129 for b. -30 Solve -1259376*v = -1259207*v - 4563 for v. 27 Solve -14177*d + 15358*d + 17715 = 0 for d. -15 Solve 0 = -6172221*u + 6172202*u + 1634 for u. 86 Solve -6216 - 6631 = -3698*l + 1097*l + 158 for l. 5 Solve 2253*a + 24250 = 1237*a + 1210*a for a. 125 Solve -1931*a = -8945*a + 631260 for a. 90 Solve 0 = -3393*k + 271*k - 673*k - 333960 for k. -88 Solve 2089*d - 1980*d + 1635 = 0 for d. -15 Solve 111*u - 142*u - 35650 = 279*u for u. -115 Solve -151*u = -313*u - 201*u - 18513 for u. -51 Solve 239555*g - 239574*g = -988 for g. 52 Solve 320*x - 6649 = 2583 + 2288 for x. 36 Solve 277186 = -2663*n - 877*n + 47086 for n. -65 Solve 77*a = -75*a - 99*a + 176*a + 2550 for a. 34 Solve -129*y - 6810 = 26*y + 145*y - 73*y for y. -30 Solve -45693 = -2458*p - 16197 for p. 12 Solve 126*x + 153*x - x + 13821 = 7*x for x. -51 Solve -947*t + 5530 - 8740 = 11942 for t. -16 Solve 1080*v + 16542 = 4662 for v. -11 Solve -235*g - 573*g - 13237 = -591*g for g. -61 Solve -3956*z + 70350 + 9431 = -74503 for z. 39 Solve 0 = 15207*u - 17192*u - 61535 for u. -31 Solve -18*g + 803 - 1541 = 0 for g. -41 Solve -629262*r + 1548 = -629176*r for r. 18 Solve 715*k - 124141 = 3602*k for k. -43 Solve 266*m + 2386*m = 5304 for m. 2 Solve 1493*m = -2390*m - 37256 + 21724 for m. -4 Solve -1942*f + 24890 = 547*f for f. 10 Solve 2148 = -77*d + 146 + 77 for d. -25 Solve 248 - 6326 = -481*a - 20246 - 14211 for a. -59 Solve -55893*i + 56015*i + 854 = 0 for i. -7 Solve 18102*z + 9393 + 21877 = 17837*z for z. -118 Solve -95470 = -268*r - 102706 for r. -27 Solve -1862*z + 39836 + 56353 - 34743 = 0 for z. 33 Solve 1387638 = -13004*z - 9022*z for z. -63 Solve 0 = 736*l - 21626 - 10758 for l. 44 Solve -30*j - 116*j = 32*j - 6586 for j. 37 Solve -380 = -19*u - 155*u - 43*u + 6781 for u. 33 Solve -50504 - 37042 - 124429 = -1556*l - 37703 for l. 112 Solve 301546 = -3415*m - 1044*m + 1382*m for m. -98 Solve 403*u - 8943 - 2341 = 0 for u. 28 Solve -1440*r + 218*r + 83062 = 1637*r - 416*r for r. 34 Solve -185*v - 8178 + 1400 = 4507 for v. -61 Solve 0 = -5006*f + 5156*f + 900 for f. -6 Solve 437*j = -768*j - 787*j + 7968 for j. 4 Solve 0 = -7498*b - 6684*b - 570*b - 118016 for b. -8 Solve 0*b - 14*b + 672 = 154 for b. 37 Solve -1217*v = -10896*v + 677530 for v. 70 Solve -104*d - 158 + 2738 = -124 for d. 26 Solve 0 = 62386*w - 62226*w + 6880 for w. -43 Solve -2191655 = 12152*y - 672655 for y. -125 Solve -44*u + 149 = -111 - 356 for u. 14 Solve -1390*h - 9 = 101 + 1000 + 280 for h. -1 Solve -40*v + 976 - 973 + 1941 + 1736 = 0 for v. 92 Solve 12*a - 650 + 19 = 401 for a. 86 Solve 0 = 803*n + 10487 + 3164 for n. -17 Solve -1134046*r + 270 = -1134016*r for r. 9 Solve -20807898*m + 10669 = -20807671*m for m. 47 Solve 6170*y = 5856*y + 14758 for y. 47 Solve 10959*a - 54459 - 99550 = -35711 + 2251 for a. 11 Solve -19784*f + 19252*f = -20748 for f. 39 Solve 0 = 5099*i + 134990 + 124004 + 261104 for i. -102 Solve 167*n - 32653 = -642*n + 117*n + 1947 for n. 50 Solve -3074 - 1030 = -281*g - 732 for g. 12 Solve -14686*s + 1101359 + 161637 = 0 for s. 86 Solve 329*s + 385*s - 24768 = -470*s + 1280 for s. 22 Solve 36654 + 78653 = -2294*x - 44613 + 15398 for x. -63 Solve 29198 = 603*a + 3269 for a. 43 Solve 97258*l - 97969*l = 39105 for l. -55 Solve 357015 - 325015 = -320*w for w. -100 Solve 1714*i + 833 = 12322 + 2223 for i. 8 Solve -69*p - 14*p = 178 - 217 + 786 for p. -9 Solve -10591*r - 10328 - 246044 + 676648 = -585869 for r. 95 Solve -5495*x - 31935 - 194945 = 146780 for x. -68 Solve 228*j - 243*j - 154 = 731 for j. -59 Solve -451*q + 931*q + 593*q - 29849 = 20582 for q. 47 Solve -2756 = 467*t + 5728 + 38 - 1050 for t. -16 Solve -31406*o = -30911*o - 30195 for o. 61 Solve -816*z = -105 + 950 + 109 + 678 for z. -2 Solve -2083*u = -812*u + 48298 for u. -38 Solve -2015*n = 63509 - 3059 for n. -30 Solve 0 = 321*t - 242*t + 106*t + 12025 for t. -65 Solve -164 = -131*s + 142*s - 10 for s. -14 Solve 0*n - 199*n = 28*n + 125*n - 5632 for n. 16 Solve -148*t - 14568 = 151*t + 6661 for t. -71 Solve 977 + 5831 + 3306 = 177*k - 955*k for k. -13 Solve 1023838*u - 851 = 1023815*u for u. 37 Solve -948 - 3728 = 167*s for s. -28 Solve -1839 = -204*l + 99 + 3774 for l. 28 Solve -5302*k = 473*k - 179*k - 36128 - 70196 for k. 19 Solve -6*k + 724 = -k + 15*k + 1524 for k. -40 Solve -393*m - 1269 - 838 = -92*m for m. -7 Solve 15162*b - 178367 + 296876 = -624429 for b. -49 Solve 34*n
{ "pile_set_name": "DM Mathematics" }
76) - (4 + (2 + sqrt(76) - sqrt(76))) - sqrt(76)))**2. 121 Simplify -1 + (sqrt(297)/(-1*sqrt(11)) + sqrt(27))/(sqrt(27)/(sqrt(15)/sqrt(5))). -1 Simplify 4*(0 + (1*(1 + sqrt(1872)))**2 + (-1*sqrt(1872) + sqrt(1872) + 0 + sqrt(1872))**2). 96*sqrt(13) + 14980 Simplify (-3*(sqrt(425) + 2 + sqrt(425) + sqrt(425))**2 + 5)*-4. 720*sqrt(17) + 45928 Simplify (sqrt(648)*-2)/sqrt(9) - (sqrt(4)/sqrt(2)*3 + 1)**2. -18*sqrt(2) - 19 Simplify 3 + ((sqrt(90) + 3*sqrt(90) - sqrt(90))/sqrt(10) - sqrt(9))/(sqrt(24)/(sqrt(288) + sqrt(8))). 3 + 14*sqrt(3) Simplify ((sqrt(300)/(sqrt(30)/sqrt(3)))/(sqrt(48)/(sqrt(64)/sqrt(8))) + 3)**2. 6*sqrt(5) + 14 Simplify -4*(5 + 2*2*(sqrt(7) + (sqrt(175))**2) + 4). -2836 - 16*sqrt(7) Simplify 0 + (sqrt(2736)*-2 - sqrt(2736)) - ((2 + sqrt(2299))*-1)**2. -2303 - 80*sqrt(19) Simplify -1 + (-1 + (sqrt(637) + sqrt(637) + (sqrt(637) + -3 - sqrt(637)))*-2 + -5)**2*-6. -61153 Simplify ((sqrt(360) - (sqrt(360) - 2*sqrt(360) - sqrt(360)))/sqrt(8) + -5 + ((sqrt(5) + -2 - sqrt(5)) + sqrt(5))*-4)**2. 30*sqrt(5) + 134 Simplify -2*(sqrt(684) - (sqrt(684) + sqrt(684) + (sqrt(684) + -1*sqrt(684)*-6 - sqrt(684)) + sqrt(684) + sqrt(684)))**2*1*1. -110808 Simplify ((-5*sqrt(8)*4 - sqrt(162)*4) + -2)**2. 304*sqrt(2) + 11556 Simplify (-6*(sqrt(175) + 1 - sqrt(175))**2 - ((sqrt(175) + 4)*-6)**2)*6. -41292 - 8640*sqrt(7) Simplify -2 + (sqrt(425) + (sqrt(425) - (sqrt(425) - (-5*(1 + sqrt(425)) - sqrt(425)) - sqrt(425))) - (1 + sqrt(425) - sqrt(425))*-5). -20*sqrt(17) - 2 Simplify (sqrt(35) - (sqrt(140)*-2)/sqrt(4))/sqrt(7) + ((sqrt(550) + 2*sqrt(550))/sqrt(11))/sqrt(10). 6*sqrt(5) Simplify ((-1*sqrt(130) - sqrt(130))*5)/(sqrt(160)*-6) + -3. -3 + 5*sqrt(13)/12 Simplify (2*sqrt(1368) + sqrt(1368))/(sqrt(864)/sqrt(12))*1*5. 15*sqrt(19) Simplify ((-2*((sqrt(475) - sqrt(475)*2) + sqrt(475)) - (sqrt(475) + (sqrt(475) - (-2 + sqrt(475)*1)) + sqrt(475))) + -5)**2. 140*sqrt(19) + 1949 Simplify (sqrt(54)/(sqrt(756)/sqrt(7)))/(sqrt(726) + (sqrt(726) - (sqrt(726)*-1 + sqrt(726) + sqrt(726) + sqrt(726) + sqrt(726))*6)). -sqrt(3)/1056 Simplify 5*(3 + sqrt(612))**2 + sqrt(612) - (4 + sqrt(612) + -2). 180*sqrt(17) + 3103 Simplify ((-6*(-3*sqrt(10) - sqrt(10))*-3)/((-3*sqrt(180))/sqrt(10)))**2. 320 Simplify ((sqrt(77) - (sqrt(77) - sqrt(77)*-3*-3))/sqrt(7))**2*3*-6. -16038 Simplify ((-1 + sqrt(833) + -1 + sqrt(833))**2 - sqrt(833)) + 5 + (1 + (sqrt(612) - (1 + sqrt(612) + sqrt(612)))*1)**2. -63*sqrt(17) + 3953 Simplify sqrt(34)/((sqrt(2) + sqrt(6)/sqrt(3))*4) + (sqrt(17) + (-1 + sqrt(68) - sqrt(68))**2)*-5. -39*sqrt(17)/8 - 5 Simplify (2 + (sqrt(605) + 0)*3 - ((sqrt(605) + -1 + 1 - sqrt(605)) + (1 + sqrt(605))*3))**2. 1 Simplify (6*sqrt(612) - 4*(sqrt(68))**2) + (-5 + sqrt(17)*3)*6. -302 + 54*sqrt(17) Simplify (sqrt(35)/sqrt(112) + -2 + -3*sqrt(30)/sqrt(6)*1)**2 + -1. 11*sqrt(5) + 653/16 Simplify 3*(sqrt(99) + (sqrt(99)*-4)**2 + -4 + 1). 9*sqrt(11) + 4743 Simplify 0 + -2 + (4 + sqrt(3)*-1 - (sqrt(30)*1)/sqrt(10)). -2*sqrt(3) + 2 Simplify (sqrt(33)/(2*sqrt(11)*-1) + 1)*-6. -6 + 3*sqrt(3) Simplify (-4 + 4 + sqrt(833) + sqrt(833) + 1 + 1 + -3)**2. -28*sqrt(17) + 3333 Simplify -2*(5 + (5*(sqrt(1539)*-2 + sqrt(1539)) - (-1 + (sqrt(1539) - -3*sqrt(1539))))**2). -249330 + 324*sqrt(19) Simplify (-3*(sqrt(176) + 5*sqrt(176))*4*-4)**2. 14598144 Simplify -2*(3*(sqrt(6)/sqrt(3)*-1 - sqrt(2))**2 - (1*(3*1*sqrt(2) + sqrt(2)))**2). 16 Simplify ((sqrt(128) - ((sqrt(128) - sqrt(128)*-2) + sqrt(128))*-5)/(-4*1*sqrt(4)))**2. 882 Simplify ((-1*(sqrt(18) - sqrt(72)/sqrt(4)))/(sqrt(9) + (1*sqrt(144) + sqrt(144) - sqrt(9)) + sqrt(9)))**2 + 3. 3 Simplify 6*(sqrt(272)*-1 + 3 + sqrt(272)) - (6*sqrt(204)*1 - sqrt(204))/(sqrt(300)*-2). sqrt(17)/2 + 18 Simplify -2 + 5*((-1 + sqrt(1872))*6)**2*-3 + 0. -1011422 + 12960*sqrt(13) Simplify (sqrt(3) + (-1 + sqrt(3))*-4 + sqrt(48)*3 + (-1*sqrt(12) + sqrt(3) + sqrt(3) - sqrt(3))*-2)**2. 88*sqrt(3) + 379 Simplify (-3 + (-1 + sqrt(1008))*2 + -4*((1 + sqrt(1008) - sqrt(1008)) + sqrt(1008)))**2. 432*sqrt(7) + 4113 Simplify (-5 + -3*6*-3*3*-1*sqrt(99))**2. 4860*sqrt(11) + 2598181 Simplify 3 + (2*sqrt(2736))**2 - ((sqrt(1900) + 1*sqrt(1900))**2 + sqrt(57)/sqrt(3) + -5). -sqrt(19) + 3352 Simplify (sqrt(49)*1*5)/((sqrt(84)/sqrt(3))/sqrt(4)) + sqrt(252) + -1 + sqrt(252) + (sqrt(21)/sqrt(3))**2*4. 27 + 17*sqrt(7) Simplify (sqrt(297)/(2*sqrt(9)))/(sqrt(6)/(sqrt(4)/sqrt(2))) + 1. 1 + sqrt(11)/2 Simplify (5*(1*sqrt(171)/sqrt(3))/((sqrt(48) + sqrt(3) + sqrt(3))*-4))**2 + -4. -1829/576 Simplify 0 + sqrt(1008) + (sqrt(1008)*-2)**2 - -6*sqrt(1008)*-2. -132*sqrt(7) + 4032 Simplify 1*(-3*sqrt(112)*-6 + 0). 72*sqrt(7) Simplify (-2 + (sqrt(50)/(sqrt(10) + (sqrt(1000) - sqrt(1000)*-1 - sqrt(1000))) - -2*(sqrt(45)/(3*sqrt(9)) + sqrt(5) + sqrt(5))))**2. -628*sqrt(5)/33 + 127601/1089 Simplify -5 + (1*sqrt(208) + sqrt(13) - (1 + sqrt(832))) + 0 + sqrt(52) + 5. -sqrt(13) - 1 Simplify (-3*(sqrt(153) + (sqrt(153) - (3*1*sqrt(153) + sqrt(153)))))/((sqrt(1296)*-2 - sqrt(1296))*4). -sqrt(17)/24 Simplify ((sqrt(140)/(2*sqrt(10)) - (sqrt(56)/(sqrt(12)/sqrt(3)) - sqrt(14)))/(1*sqrt(63)*-6 + sqrt(63)))**2. 1/450 Simplify (sqrt(756)*-1)/(sqrt(7)*-3*2). sqrt(3) Simplify (sqrt(605) + 2 - sqrt(605)) + 2 + 0 - (sqrt(605) - 6*(-4*sqrt(605))**2)*-1. -58076 + 11*sqrt(5) Simplify (sqrt(72)*-2 + sqrt(32)/(sqrt(100) - sqrt(4)))/(6*(sqrt(4) + sqrt(36)/sqrt(576))). -23*sqrt(2)/27 Simplify (((sqrt(224)/sqrt(4))/sqrt(7))/sqrt(4)*5 + 5)*-5 + 5. -25*sqrt(2) - 20 Simplify (-3*(sqrt(65) - sqrt(65)*-2)*-3)/(sqrt(20)*-6*-1). 9*sqrt(13)/4 Simplify 1 + (sqrt(242) + (sqrt(242)*-1 - sqrt(242)))**2 + 4 - ((sqrt(242) + 4 + 1 + sqrt(242) + sqrt(242))**2 - (sqrt(242)*-1 + 2)**2). -1710 - 374*sqrt(2) Simplify (-1*(2*sqrt(847)*6*5 + 2)*-6)**2. 95040*sqrt(7) + 109771344 Simplify 6*sqrt(108)*-6 - (sqrt(192) - 3*(sqrt(192) + 1)**2)*6. 24*sqrt(3) + 3474 Simplify (4 + sqrt(832) + 3 + 5 - (sqrt(832) + sqrt(832) + -1*sqrt(832) + sqrt(832) + -1 - (sqrt(832) + -1 + sqrt(832) + 2)))**2. 224*sqrt(13) + 1028 Simplify 5 + (sqrt(1573) - (-5*sqrt(1573)*-2 + sqrt(1573))**2) + -3 + -4. -190335 + 11*sqrt(13) Simplify (6*1*sqrt(275)*-5 + 3*-6*-2*sqrt(275))**2. 9900 Simplify 2 + -3*((sqrt(42)/sqrt(7))/sqrt(3) - (sqrt(6)/(sqrt(3)*-2 + sqrt(3)) + sqrt(2)))**2. -4 Simplify 1*((1*sqrt(170)*-3)/sqrt(10)*1)**2. 153 Simplify ((sqrt(343) - (sqrt(343) + -3)) + -3 - (3*4*sqrt(343) - sqrt(343)))**2. 41503 Simplify ((1*(3*sqrt(143)*1 + sqrt(143) + sqrt(143)))/(3*sqrt(176) + sqrt(11) + (sqrt(11) + sqrt(22)/sqrt(2))*-3))**2. 325/49 Simplify (((sqrt(6480) - (sqrt(6480) + 3)) + sqrt(45)*-3 + 1)*3)**2. 324*sqrt(5) + 3681 Simplify 1*(sqrt(833) - 1*sqrt(833)) - ((sqrt(170) - (sqrt(170) - ((sqrt(170)*3 + sqrt(170) + sqrt(170))*-3 + sqrt(170))) - sqrt(170)) + sqrt(170))/sqrt(10). 14*sqrt(17) Simplify (-3*(-1*sqrt(171)*-5*4)/(sqrt(36)/(sqrt(576)*1)))**2. 9849600 Simplify (sqrt(208)/sqrt(4) + 1 + 1 + sqrt(13))**2 - (0 + (sqrt(13) - (-1 + sqrt(1300))**2) + 0). -9*sqrt(13) + 1422 Simplify -1*(sqrt(90)/sqrt(5))/sqrt(9) - (2*(-1 + sqrt(288)))**2. -1156 + 95*sqrt(2) Simplify -3 + (((sqrt(1216) + sqrt(1216) + 3)*-1)**2 - (5 + -3 + sqrt(1216))). 88*sqrt(19) + 4868 Simplify (((sqrt(128) + 1)*-1 - (sqrt(128) - (1 + sqrt(128) + sqrt(128) + -2))) + 5 + -1*(1*sqrt(128) - sqrt(128)))**2. 9 Simplify (-2*((sqrt(9) + sqrt(144))/sqrt(3)*-6 + sqrt(363) + (-1 + sqrt(363))*-1))**2. -240*sqrt(3) + 10804 Simplify (-1*sqrt(6171) + (sqrt(51) - sqrt(459)*6))/(1*-1*sqrt(147) - sqrt(147)). 2*sqrt(17) Simplify (3*sqrt(1152)*4)**2*4. 663552 Simplify (-1*(sqrt(105)/sqrt(3)*-6 - sqrt(35)))/(sqrt(320) - 2*sqrt(320) - sqrt(180)*-2). 7*sqrt(7)/4 Simplify (5*(-2*(sqrt(147) + -2) - (0 + sqrt(147) + 0))*6)**2. -151200*sqrt(3) + 1205100 Simplify (-2*sqrt(600)*-1)/((sqrt(960) - (sqrt(960) - (sqrt(960)*-3 + sqrt(960))) - sqrt(15) - sqrt(15))/sqrt(5)). -10*sqrt(2)/9 Simplify -2*(-2*sqrt(32))**2 + -2 + sqrt(32) + 0 + (sqrt(32) - (sqrt(2592) + 1)) + 2. -257 - 28*sqrt(2) Simplify -5 + -4*-5*(sqrt(1100) + -2). -45 + 200*sqrt(11) Simplify (sqrt(60)/(1*1*sqrt(5)))/((sqrt(64) + sqrt(4))*1 - sqrt(28)/(sqrt(21)/sqrt(3))). sqrt(3)/4 Simplify (1*sqrt(1782)*1)/(-4*(sqrt(77) - -2*sqrt(77))/sqrt(7)). -3*sqrt(2)/4 Simplify (sqrt(209)/(1*sqrt(11)) - sqrt(19)) + 4 + (-4 + -2*sqrt(1539))**2. 144*sqrt(19) + 6176 Simpl
{ "pile_set_name": "DM Mathematics" }
ext: -4056, -4054, -4052? -4050 What is next in -123, -109, -79, -27, 53, 167, 321, 521? 773 What is next in 54571, 54567, 54553, 54523, 54471, 54391? 54277 What is next in 278, 252, 188, 68, -126, -412, -808? -1332 What is the next term in 53, 67, 89, 119, 157, 203? 257 What comes next: -21, -34, -35, -18, 23, 94? 201 What is the next term in -17, -59, -127, -221, -341? -487 What is the next term in 1042, 2083, 3124, 4165, 5206, 6247? 7288 What comes next: 488, 478, 458, 422, 364, 278, 158, -2? -208 What comes next: 2, 15, 28, 41, 54, 67? 80 What is the next term in -10, -9, -10, -13? -18 What is next in -590, -1164, -1714, -2228, -2694, -3100, -3434? -3684 What is the next term in 119, 244, 371, 500? 631 What comes next: 65, 61, 51, 29, -11, -75, -169, -299? -471 What is next in -6, 11, 58, 153, 314, 559, 906, 1373? 1978 What comes next: -962, -1913, -2852, -3773, -4670, -5537, -6368, -7157? -7898 What is next in 1704, 3403, 5100, 6795? 8488 What comes next: 4168, 8334, 12500? 16666 What comes next: 15, 0, -15, -30? -45 What is the next term in 8, 16, 48, 122, 256, 468? 776 What is the next term in 29, 55, 77, 95, 109? 119 What is the next term in 101, 411, 929, 1655? 2589 What is next in 4700, 9408, 14126, 18860, 23616, 28400, 33218? 38076 What is next in 7, 89, 315, 757, 1487, 2577, 4099? 6125 What is the next term in -6538, -6534, -6528, -6520, -6510, -6498? -6484 What is next in -39, -335, -1145, -2727, -5339, -9239, -14685, -21935? -31247 What is the next term in -27, -67, -111, -159, -211, -267, -327? -391 What comes next: -18, -38, -72, -126, -206? -318 What is the next term in 81, 177, 343, 585, 909, 1321, 1827, 2433? 3145 What is the next term in 124, 103, 82, 61, 40? 19 What is the next term in -54, -129, -222, -339, -486, -669, -894, -1167? -1494 What is the next term in 0, 18, 62, 144, 276, 470? 738 What is the next term in -781, -780, -779, -778, -777? -776 What is the next term in -2, 2, 4, 4, 2, -2, -8? -16 What is next in -37, -46, -55, -64, -73, -82? -91 What is next in 323, 324, 325? 326 What is the next term in 1466, 1462, 1456, 1448, 1438, 1426, 1412? 1396 What is next in 221, 220, 219, 218? 217 What is next in 5, 33, 75, 137, 225? 345 What is the next term in -57, -183, -395, -699, -1101? -1607 What is next in -30, -112, -242, -420? -646 What is the next term in 875, 1759, 2649, 3545, 4447, 5355, 6269? 7189 What comes next: -275, -547, -809, -1055, -1279, -1475? -1637 What is the next term in 956, 1896, 2836, 3776, 4716? 5656 What comes next: -174, -171, -166, -159, -150, -139, -126? -111 What comes next: -32849, -32851, -32853, -32855, -32857, -32859? -32861 What comes next: -278, -272, -262, -248, -230, -208, -182? -152 What is next in -1253, -1260, -1271, -1286? -1305 What is the next term in -99, -201, -303? -405 What comes next: 12, 11, 20, 45, 92? 167 What is the next term in 8, 54, 148, 302, 528, 838, 1244, 1758? 2392 What is next in -251, -247, -233, -203, -151, -71? 43 What is next in -36, 18, 158, 426, 864, 1514, 2418? 3618 What comes next: 380, 375, 370, 365, 360, 355? 350 What comes next: 15, 35, 57, 81, 107? 135 What is the next term in 85, 168, 251, 334, 417? 500 What is next in 161, 153, 143, 131, 117? 101 What is next in -2568, -2573, -2578, -2583, -2588, -2593? -2598 What is next in -12, -63, -156, -297, -492, -747, -1068, -1461? -1932 What is next in -105, -65, -25, 15? 55 What comes next: 224, 217, 196, 155, 88, -11, -148, -329? -560 What comes next: -44, -67, -90, -113, -136? -159 What is the next term in 158, 305, 452, 599, 746? 893 What is next in 45, 52, 53, 42, 13? -40 What is next in -461, -458, -457, -458, -461, -466? -473 What is next in -107, -93, -65, -17, 57, 163? 307 What is the next term in -191, -188, -183, -176, -167, -156? -143 What is the next term in 18, 25, 22, 3, -38, -107, -210, -353? -542 What comes next: -171, -170, -169, -168, -167? -166 What comes next: -201, -200, -199, -198, -197, -196? -195 What is the next term in 1571, 3145, 4721, 6299? 7879 What is next in 42, 114, 186, 258, 330? 402 What comes next: -311, -289, -233, -125, 53, 319, 691, 1187? 1825 What comes next: -36, -30, -26, -24, -24? -26 What is next in 35, 45, 67, 107, 171? 265 What comes next: 150, 202, 338, 600, 1030, 1670, 2562, 3748? 5270 What is next in 34, 94, 192, 328? 502 What is next in 47, 90, 131, 170? 207 What is the next term in 31, 82, 175, 316, 511, 766? 1087 What is the next term in -38, -18, 14, 64, 138, 242? 382 What is next in 36, 71, 118, 183, 272, 391? 546 What comes next: -6395, -6388, -6371, -6338, -6283? -6200 What comes next: -95, -93, -91, -89? -87 What comes next: -26, -69, -140, -239, -366, -521, -704? -915 What comes next: -87, -93, -99? -105 What is the next term in -7, -71, -169, -295, -443, -607, -781, -959? -1135 What is next in 8, 9, 10, 11? 12 What is next in -24, -44, -88, -168, -296, -484? -744 What is the next term in 84, 289, 622, 1077, 1648, 2329, 3114? 3997 What comes next: -158, -161, -168, -179, -194? -213 What is the next term in -11, -9, -11, -17, -27, -41, -59? -81 What is next in 116, 89, 30, -73, -232, -459, -766? -1165 What is next in 33, 40, 51, 66, 85, 108, 135? 166 What is next in 206, 449, 692, 935? 1178 What comes next: 159, 156, 153? 150 What is next in -292, -527, -762, -997? -1232 What comes next: 611, 613, 625, 653, 703, 781? 893 What comes next: -154, -312, -470, -628? -786 What comes next: -17, -26, -41, -62, -89? -122 What is next in -3259, -3276, -3311, -3370, -3459, -3584, -3751, -3966? -4235 What is next in 120, 236, 348, 456, 560, 660, 756? 848 What is the next term in 41, 57, 107, 209, 381, 641, 1007, 1497? 2129 What is next in 45, 86, 125, 162, 197, 230? 261 What is the next term in 21, 80, 177, 312, 485, 696, 945? 1232 What is the next term in 43, 77, 111, 145, 179? 213 What is next in -112, -100, -72, -22, 56? 168 What is next in 887, 889, 891, 893, 895, 897? 899 What is next in 1365, 1364, 1361, 1356, 1349, 1340, 1329? 1316 What is next in -1029, -1030, -1031? -1032 What is next in -19, 3, 55, 149, 297? 511 What is next in 122, 284, 508, 824, 1262, 1852? 2624 What is next in 30, 105, 226, 393, 606, 865? 1170 What is next in 6, 4, 2? 0 What comes next: -3, 49, 193, 477, 949? 1657 What is the next term in -42, -82, -148, -252, -406, -622, -912, -1288? -1762 What comes next: -78, -56, 12, 150, 382, 732, 1224? 1882 What is the next term in 742, 1461, 2182, 2905, 3630, 4357, 5086? 5817 What is the next term in -57, -39, -1, 63, 159, 293, 471? 699 What comes next: 2550, 2545, 2540, 2535, 2530? 2525 What is next in -58, -122, -192, -268, -350, -438, -532? -632 What is the next term in -3949, -7900, -11851, -15802? -19753 What comes next: 14, 58, 140, 266, 442? 674 What comes next: -111, -161, -209, -255, -299? -341 What comes next: 471, 1884, 4239, 7536, 11775, 16956, 23079? 30144 What is the next term in 3, 0, -3, -6? -9 What is the next term in 52, 113, 200, 325, 500, 737? 1048 What is the next term in -4360, -4359, -4358? -4357 What comes next: -1387, -1395, -1403, -1411, -1419, -1427? -1435 What is next in 265, 264, 263, 262, 261, 260? 259 What comes next: 70, 67, 62, 55, 46, 35, 22? 7 What is the next term in 1656, 3308, 4958, 6606, 8252, 9896, 11538? 13178 What is the next term in 7, -39, -161, -395, -777, -1343, -2129? -3171 What is next in 1766, 3531, 5296? 7061 What is the next term in 490, 485, 480, 475, 470? 465 What is the next term in -6, -109, -382, -909, -1774, -3061, -4854? -7237 What comes next: 1296, 1294, 1292, 1290? 1288 What is next in -5, -9, -15, -23, -33? -45 What is the next term in -82, -178, -276, -376? -478 What is the next term in -206, -414, -624, -836, -1050, -1266? -1484 What comes next: 96, 191, 286? 381 What is the next term in 3, -6, -29, -72, -141, -242, -381, -564? -797 What is the next term in 16, 66, 154, 280? 444 What is the next term in -444, -451, -462, -477, -496? -519 What is the next term in 12844, 12843, 12842, 12841? 12840 What comes next: -1009, -2015, -3021? -4027 What comes next: 81431, 81432, 81433, 81434, 81435? 81436 What is the next term in 167, 349, 533, 719? 907 What is the next term in -1269, -1303, -1359, -1437, -1537, -1659, -1803? -1969 What is the next term in -9, -5, -1, 3, 7, 11? 15 Wha
{ "pile_set_name": "DM Mathematics" }
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12:55 PM What is 264 minutes before 4:55 AM? 12:31 AM What is 345 minutes after 5:57 AM? 11:42 AM How many minutes are there between 8:42 AM and 5:40 PM? 538 What is 715 minutes before 2:26 AM? 2:31 PM What is 557 minutes before 2:04 AM? 4:47 PM What is 152 minutes before 8:42 PM? 6:10 PM What is 89 minutes after 7:09 PM? 8:38 PM How many minutes are there between 9:46 PM and 10:35 PM? 49 How many minutes are there between 4:42 AM and 3:57 PM? 675 What is 148 minutes after 11:40 AM? 2:08 PM How many minutes are there between 10:06 AM and 8:49 PM? 643 How many minutes are there between 5:43 AM and 4:30 PM? 647 How many minutes are there between 12:10 PM and 4:21 PM? 251 What is 446 minutes before 1:31 PM? 6:05 AM What is 303 minutes before 9:06 AM? 4:03 AM What is 585 minutes after 9:31 PM? 7:16 AM What is 296 minutes after 7:47 AM? 12:43 PM How many minutes are there between 1:54 PM and 3:31 PM? 97 What is 90 minutes after 3:06 PM? 4:36 PM How many minutes are there between 12:37 PM and 10:34 PM? 597 What is 372 minutes before 2:03 PM? 7:51 AM How many minutes are there between 6:29 PM and 5:57 AM? 688 How many minutes are there between 9:41 AM and 4:08 PM? 387 What is 481 minutes after 8:53 AM? 4:54 PM What is 90 minutes before 8:01 AM? 6:31 AM What is 165 minutes after 4:20 AM? 7:05 AM How many minutes are there between 10:29 PM and 8:02 AM? 573 How many minutes are there between 10:23 PM and 8:01 AM? 578 How many minutes are there between 4:19 AM and 5:51 AM? 92 What is 274 minutes before 3:20 AM? 10:46 PM How many minutes are there between 11:15 PM and 1:25 AM? 130 What is 315 minutes before 10:26 AM? 5:11 AM What is 687 minutes after 5:24 AM? 4:51 PM How many minutes are there between 5:52 PM and 10:12 PM? 260 What is 715 minutes after 3:38 AM? 3:33 PM What is 719 minutes after 7:20 AM? 7:19 PM How many minutes are there between 1:17 AM and 11:37 AM? 620 What is 310 minutes before 7:40 PM? 2:30 PM What is 414 minutes before 4:41 AM? 9:47 PM What is 662 minutes before 11:25 AM? 12:23 AM How many minutes are there between 3:41 PM and 5:38 PM? 117 How many minutes are there between 1:42 PM and 4:32 PM? 170 What is 344 minutes before 3:59 PM? 10:15 AM What is 473 minutes before 10:51 AM? 2:58 AM How many minutes are there between 7:04 PM and 8:11 PM? 67 What is 231 minutes before 9:01 AM? 5:10 AM What is 568 minutes after 1:32 AM? 11:00 AM What is 662 minutes after 7:00 PM? 6:02 AM What is 429 minutes before 4:21 PM? 9:12 AM What is 502 minutes before 2:39 PM? 6:17 AM What is 446 minutes after 7:12 AM? 2:38 PM What is 148 minutes after 10:26 AM? 12:54 PM How many minutes are there between 4:50 AM and 1:35 PM? 525 What is 605 minutes after 3:09 PM? 1:14 AM What is 576 minutes after 4:23 AM? 1:59 PM How many minutes are there between 4:07 PM and 6:22 PM? 135 How many minutes are there between 9:46 PM and 11:24 PM? 98 What is 39 minutes before 8:07 AM? 7:28 AM How many minutes are there between 4:58 AM and 7:50 AM? 172 How many minutes are there between 3:03 PM and 2:15 AM? 672 How many minutes are there between 6:26 PM and 9:18 PM? 172 How many minutes are there between 4:44 AM and 6:28 AM? 104 What is 249 minutes before 11:37 AM? 7:28 AM How many minutes are there between 6:34 PM and 5:41 AM? 667 What is 501 minutes before 12:20 AM? 3:59 PM What is 170 minutes after 3:30 PM? 6:20 PM What is 295 minutes before 4:51 PM? 11:56 AM What is 317 minutes before 3:36 AM? 10:19 PM What is 430 minutes before 8:22 PM? 1:12 PM What is 76 minutes after 9:20 PM? 10:36 PM What is 612 minutes before 8:45 AM? 10:33 PM What is 663 minutes after 3:32 PM? 2:35 AM What is 292 minutes after 3:22 AM? 8:14 AM What is 355 minutes after 2:33 PM? 8:28 PM What is 502 minutes after 5:49 PM? 2:11 AM What is 457 minutes before 1:42 PM? 6:05 AM What is 14 minutes before 9:35 PM? 9:21 PM How many minutes are there between 2:59 PM and 1:45 AM? 646 How many minutes are there between 11:06 AM and 3:45 PM? 279 What is 77 minutes after 9:51 PM? 11:08 PM What is 448 minutes after 7:52 PM? 3:20 AM How many minutes are there between 9:57 PM and 5:16 AM? 439 How many minutes are there between 9:26 PM and 2:58 AM? 332 How many minutes are there between 2:08 AM and 2:43 AM? 35 How many minutes are there between 4:31 PM and 6:08 PM? 97 What is 466 minutes after 9:11 PM? 4:57 AM What is 374 minutes before 11:21 PM? 5:07 PM How many minutes are there between 11:28 AM and 1:15 PM? 107 What is 597 minutes before 11:26 AM? 1:29 AM How many minutes are there between 6:06 PM and 10:04 PM? 238 How many minutes are there between 1:48 AM and 9:22 AM? 454 How many minutes are there between 3:17 AM and 6:03 AM? 166 How many minutes are there between 7:57 PM and 12:21 AM? 264 How many minutes are there between 12:19 AM and 4:17 AM? 238 What is 153 minutes after 3:43 PM? 6:16 PM What is 237 minutes before 4:47 AM? 12:50 AM What is 672 minutes before 3:56 PM? 4:44 AM How many minutes are there between 10:15 AM and 7:53 PM? 578 What is 59 minutes before 6:17 AM? 5:18 AM How many minutes are there between 4:50 AM and 2:07 PM? 557 How many minutes are there between 9:48 AM and 8:35 PM? 647 What is 588 minutes after 7:30 PM? 5:18 AM What is 699 minutes before 10:20 AM? 10:41 PM What is 315 minutes before 12:37 PM? 7:22 AM What is 170 minutes after 3:31 PM? 6:21 PM What is 404 minutes before 7:50 PM? 1:06 PM What is 657 minutes after 8:52 AM? 7:49 PM How many minutes are there between 6:39 AM and 5:49 PM? 670 How many minutes are there between 3:44 PM and 6:17 PM? 153 How many minutes are there between 4:03 AM and 9:44 AM? 341 What is 158 minutes after 6:33 AM? 9:11 AM How many minutes are there between 2:07 AM and 4:07 AM? 120 What is 313 minutes after 8:02 PM? 1:15 AM What is 456 minutes after 4:23 AM? 11:59 AM How many minutes are there between 8:38 PM and 11:02 PM? 144 What is 149 minutes after 1:31 PM? 4:00 PM What is 260 minutes after 1:16 AM? 5:36 AM What is 76 minutes before 5:55 AM? 4:39 AM How many minutes are there between 7:26 PM and 3:08 AM? 462 What is 171 minutes before 9:00 AM? 6:09 AM What is 564 minutes before 11:13 PM? 1:49 PM How many minutes are there between 10:12 AM and 5:24 PM? 432 What is 11 minutes before 11:56 PM? 11:45 PM What is 697 minutes before 11:08 PM? 11:31 AM How many minutes are there between 9:31 PM and 8:10 AM? 639 What is 153 minutes after 8:54 PM? 11:27 PM What is 142 minutes after 8:03 PM? 10:25 PM What is 145 minutes before 7:37 AM? 5:12 AM What is 492 minutes before 5:41 AM? 9:29 PM How many minutes are there between 3:57 AM and 6:05 AM? 128 How many minutes are there between 7:52 AM and 12:31 PM? 279 How many minutes are there between 12:24 PM and 4:50 PM? 266 How many minutes are there between 4:51 PM and 7:08 PM? 137 How many minutes are there between 7:58 AM and 1:01 PM? 303 What is 627 minutes after 10:53 AM? 9:20 PM How many minutes are there between 7:14 AM and 4:00 PM? 526 What is 156 minutes after 8:06 PM? 10:42 PM How many minutes are there between 7:30 AM and 8:52 AM? 82 How many minutes are there between 9:28 PM and 8:47 AM? 679 What is 503 minutes before 12:28 PM? 4:05 AM How many minutes are there between 4:03 AM and 8:33 AM? 270 What is 298 minutes
{ "pile_set_name": "DM Mathematics" }
? True Which is smaller: 0.1 or 420? 0.1 Which is smaller: -29 or -315/11? -29 Is 1 smaller than -817? False Which is greater: -7 or -141/23? -141/23 Which is smaller: -126/47 or -2/15? -126/47 Which is bigger: 2/9207 or -1? 2/9207 Which is smaller: 802 or 803? 802 Which is bigger: 75 or 235? 235 Which is smaller: 0 or 686/11? 0 Are -196 and -197 equal? False Which is greater: -1.3 or -254? -1.3 Which is bigger: -0.0651 or -0.4? -0.0651 Which is greater: -1/2832 or -1? -1/2832 Is -1115 smaller than -1123? False Which is greater: 3/7 or -421? 3/7 Is 10/203 at least -1? True Does 1229 = 1255? False Is -286 greater than -316? True Is 36 less than or equal to 61? True Are 34 and 41 equal? False Is 1 greater than or equal to 96? False Which is smaller: -5 or 45? -5 Is 3 at most as big as 76/21? True Which is bigger: -14611/5 or -2921? -2921 Which is greater: 0 or -1/242? 0 Is 10 > 140/13? False Are -856/9 and -94 nonequal? True Is -51 < -7? True Which is smaller: 86/41 or 3? 86/41 Is 338 at most 1683/5? False Which is smaller: 2 or -59? -59 Which is greater: -228 or 7/3? 7/3 Which is bigger: 1 or 0.279? 1 Which is greater: -313 or -7? -7 Is -40 less than 434? True Are -28/11 and -1.7 nonequal? True Are 532 and 4 nonequal? True Which is smaller: -6 or -329/51? -329/51 Which is smaller: 0 or 5/2838? 0 Is 9/26 bigger than 0? True Which is smaller: -80 or -78? -80 Is 5 >= 220? False Which is bigger: -231 or -2068/9? -2068/9 Are -1.4 and 14 non-equal? True Is -44531 greater than or equal to -44530? False Is -189 smaller than -192? False Is 1 bigger than 7/117? True Which is greater: 2 or 10.31? 10.31 Which is smaller: 21586 or 21584? 21584 Is 222 less than or equal to 2/5? False Which is greater: -1 or -51/209? -51/209 Does 1/170 = -1? False Which is smaller: 43 or 0.043? 0.043 Which is greater: 12454/7 or 1778? 12454/7 Which is smaller: 0 or -157? -157 Are -173/2 and -86 non-equal? True Which is smaller: 277/4 or -0.07? -0.07 Is 16 less than 22? True Is 0 equal to -73? False Is 13/12 at most as big as 2? True Is -110 < -112? False Which is greater: -8 or 0.0514? 0.0514 Is -2 < 3.9? True Which is greater: 2 or 2/241? 2 Is 1409 <= 1409? True Is 42 >= -3? True Is -4 at least -5? True Is 3563 not equal to 3563? False Which is smaller: 0.3 or 19? 0.3 Which is smaller: 66 or 464/7? 66 Is 7768 bigger than 7770? False Which is smaller: 1/174 or -1? -1 Is 54/53 less than or equal to 2? True Is -2/27 greater than 2.2? False Is -24070 at least -24070? True Is -323 >= -324? True Is 367 greater than or equal to 366? True Is 1447 >= 1468? False Which is smaller: -725 or 1? -725 Which is smaller: -26 or 0.9? -26 Which is smaller: -171 or -169? -171 Is 11/1115 greater than or equal to -1? True Which is smaller: 1 or -2/559? -2/559 Is -1/4 less than or equal to 5693? True Which is smaller: -1580 or -1579? -1580 Which is greater: -8 or -63/8? -63/8 Is -3/298 <= 1? True Is 77 greater than -0.06? True Are 1/105 and 1 nonequal? True Which is smaller: -474 or 5/2? -474 Which is greater: -23/70 or 0? 0 Is -11 greater than 83? False Is -108 bigger than -108? False Is 38 bigger than 1288/33? False Which is smaller: -0.03 or 1160? -0.03 Is -8/21 at most as big as 1? True Which is smaller: -12 or -25? -25 Which is smaller: 0.05 or 593? 0.05 Which is greater: 477 or 479? 479 Are -130/23 and -5 equal? False Which is bigger: -123 or 0.1? 0.1 Which is greater: -45 or -48? -45 Are 17 and 34 unequal? True Is 184 != 184? False Which is greater: 6/26281 or -1? 6/26281 Which is greater: 259/5 or 51? 259/5 Is 1/4 != -501? True Which is smaller: 1 or -1/265? -1/265 Is -327 smaller than -324? True Which is smaller: -0.9022 or -1? -1 Which is greater: 1/4 or 2634? 2634 Which is greater: -1 or -124/669? -124/669 Which is smaller: 18.03 or 2? 2 Which is smaller: -189/86 or -1? -189/86 Are 312 and 311 unequal? True Which is greater: -1 or 424/11? 424/11 Is 38/9 equal to 9? False Which is bigger: 3 or -34? 3 Does 12 = 198/17? False Which is smaller: 349 or 350? 349 Is -1/17 less than -1.3? False Is 14 at least as big as -19? True Which is smaller: -1/3 or 88/21? -1/3 Does -705 = -705? True Which is bigger: -0.7 or 43? 43 Is 1/846 bigger than 0? True Is 2598 >= 2598? True Do 0 and 2/17497 have the same value? False Do 321 and 325 have different values? True Is 6114 at least 6114? True Which is bigger: -18 or -44? -18 Which is smaller: -9/19 or -1.3? -1.3 Which is greater: 8090 or 8091? 8091 Which is bigger: 30 or 187/6? 187/6 Is 0.0494 > -0.1? True Is 40 less than 135? True Is -23 at most -19? True Is -3797 at least -5? False Is 752 at least as big as 752? True Are 40 and 38 unequal? True Which is smaller: 313 or 314? 313 Which is bigger: -658 or -659? -658 Is 768 at least 3075/4? False Which is smaller: -3/116 or 0? -3/116 Which is bigger: 79 or -14? 79 Which is smaller: 176 or 2278/13? 2278/13 Does 1 = 2/373? False Is -2774 equal to -2775? False Are 1/4 and 1292 equal? False Which is smaller: -543 or -528? -543 Do -1707 and -1708 have different values? True Which is smaller: 3 or -3? -3 Which is greater: 0.023 or 8/3? 8/3 Is -1 greater than or equal to 10/1287? False Which is smaller: 0.86 or 19? 0.86 Do -4 and 450 have different values? True Is 683 > 684? False Are 1 and 4/635 equal? False Which is smaller: -14 or 8? -14 Which is bigger: -21192 or 1? 1 Is 19 greater than 75? False Which is bigger: -4/461 or -1? -4/461 Do -0.1 and 414 have different values? True Is 35 less than or equal to -1? False Do -1 and -1/260 have the same value? False Is -1 < 8/55? True Is 3347 at least 3349? False Which is smaller: 2/11 or 247? 2/11 Is -20 bigger than 2? False Which is smaller: 449 or 2? 2 Is 182 < 1455/8? False Which is greater: 11.9 or 2/17? 11.9 Which is bigger: 35 or 390/11? 390/11 Which is smaller: -262 or 2/13? -262 Which is bigger: -1 or 662? 662 Is 124 at most as big as 124? True Is -242 greater than -2? False Which is greater: -7 or -170/29? -170/29 Which is smaller: 1 or -18/691? -18/691 Which is smaller: 85 or -20? -20 Which is bigger: 6 or 8? 8 Is 676 >= 6? True Which is smaller: 347 or 354? 347 Which is greater: -3.49 or -3? -3 Are 79 and 53 equal? False Which is smaller: -157 or -156? -157 Is -24 equal to 11? False Which is greater: 614 or 615? 615 Which is bigger: 379/6 or 63? 379/6 Which is smaller: -2/57 or -151? -151 Is -4 at most -7? False Which is bigger: -144 or -716/5? -716/5 Is -56 bigger than -63? True Which is bigger: 0 or -6? 0 Which is smaller: -1002 or -1011? -1011 Which is smaller: -159/10 or -1? -159/10 Which is smaller: -1/25 or 0? -1/25 Which is smaller: -10/3 or -1? -10/3 Is 31582/9 greater than or equal to 3510? False Which is smaller: -27083/2 or -13543? -13543 Which is greater: -490 or -489? -489 Does -1/6 = 83? False Which is smaller: -194 or -193? -194 Is 321/8 bigger than -2/3? True Is -245 greater than or equal to -245? True Which is greater: 512 or -5? 512 Which is bigger: 2/3 or 2.93? 2.93 Which is bigger: -119 or -161? -119 Are 5 and 4 equal? False Is 1/3 < 47/42? True Which is smaller: -8674/7 or -1238? -8674/7 Is -1/3091 <= -1? False Which is smaller: 2 or 217/159? 217/159 Is 0 less than or equal to -14/1041? False Does -1 = 3/173? False Is -0.3 less than 0.43? True Which is smaller: 290 or 286? 286 Is -251 > -249? False Is -6 not equal to -122? True Which is greater: -247 or -248? -247 Are -648 and -647 unequal? True Is -34110 >= -34111? True Is 17335 at most as big as 17335? True Are -2/7 and -0.13 equal? False Which is bigger: 1.2 or 4.6? 4.6 Is -16 equal to 4? False Which is greater: -2/7207 or 1? 1 Is 556 greater than or equal to 14? True Which is greater: 17/37 or -1? 17/37 Which is greater: 1477 or -0.1? 1477 Is -8/121 >= 0? False Are 11 and -10 unequal? True Which is smaller: 31 or 27? 27 Which is smaller: 59 or 3/2? 3/2 Which is bigger: 1.2 or -5/3? 1.2 Which is smaller: 4/89 or 0.1? 4/89 Are -87 and 1/3 nonequal? True Is -81 greater than -657/8? True Which is smaller: 0.1199 or -2? -2 Is -2901 less than -2900? True Which is smaller: 9 or -3? -3 Is 10 at least as big as 10? True Is 280/339 greater than or equal to 1? False Which is smaller: 0 or 151/4? 0 Does 5 = 172/49? False Which is smaller: 1 or 30/47? 30/47 Is 3 at most -148/5? False Which
{ "pile_set_name": "DM Mathematics" }
alue in -4, 0.3, 1/8, 8, 0, 19? -4 What is the second smallest value in 2, 30389/5, 4? 4 What is the biggest value in -1, 8/7, -0.0052? 8/7 What is the third smallest value in 0.4, 1, 1.6749, 4, 22? 1.6749 Which is the second smallest value? (a) -0.038 (b) -0.6 (c) 8.1 a What is the third smallest value in -3, 0, 1, 1/8, -13? 0 What is the fourth smallest value in 22/7, -597, 0.2, -1.6, 1? 1 Which is the third biggest value? (a) -32 (b) -9 (c) -1 a Which is the fourth smallest value? (a) -3 (b) 1/3 (c) -4 (d) 9 (e) 2/9 (f) -2 e Which is the biggest value? (a) -3 (b) 222 (c) -1057 b Which is the third smallest value? (a) -1713 (b) 4 (c) -5 b Which is the sixth smallest value? (a) 0 (b) -2/3 (c) 264 (d) 2/51 (e) -0.3 (f) -6 c What is the fourth biggest value in -1/3, -17, 1/4, -0.3, 47? -1/3 What is the smallest value in -4/5, 9.9, -3/4? -4/5 Which is the second smallest value? (a) 9 (b) -9 (c) 6 (d) 3/11 (e) 4 d What is the fourth biggest value in -6, -1, -2/5, -1/3, -1683.4? -6 Which is the fifth smallest value? (a) -3/4 (b) 0 (c) -4/3 (d) 1812 (e) -0.5 d Which is the third biggest value? (a) 0.4 (b) -1/5 (c) -0.0448 (d) 0.5 (e) 2 a What is the third smallest value in 2/115, -3, 0.0534? 0.0534 Which is the second biggest value? (a) 43.2 (b) -4/13 (c) -2/217 c What is the fifth biggest value in 5, 0.2, -8, 0.15, 1/4? -8 Which is the fifth biggest value? (a) -3 (b) 4 (c) 141 (d) -14 (e) 2 (f) -3/5 a Which is the fourth smallest value? (a) 3.3 (b) -20/17 (c) -2 (d) 2/3 a Which is the fifth smallest value? (a) 0.1 (b) 27 (c) -3 (d) -10 (e) -197 (f) 4 f Which is the second biggest value? (a) -1064 (b) 1 (c) -1 c Which is the third biggest value? (a) 4042 (b) -4 (c) 2/9 (d) -1 d Which is the fourth smallest value? (a) -106 (b) -1/5 (c) 0 (d) 5 (e) -1 (f) -4 b Which is the fifth biggest value? (a) 48 (b) 0.1 (c) 3 (d) -25 (e) 5 d What is the fourth biggest value in -0.4, -0.12, 24.1, 4? -0.4 What is the fifth smallest value in -2, -1/69, -1/2, 8, -5, -1.1? -1/69 What is the biggest value in 0.2, -2, 884, 1, -1? 884 What is the third smallest value in 6, 5, 1850? 1850 Which is the fifth biggest value? (a) 0.43 (b) -1/5 (c) -1 (d) -5 (e) -0.1 d Which is the biggest value? (a) 32701 (b) 1.3 (c) -0.4 a Which is the second smallest value? (a) 10 (b) 136 (c) 3.4 a Which is the third biggest value? (a) 12/43 (b) 65 (c) -0.4 c What is the third smallest value in 1923.36, 5, 2? 1923.36 Which is the fourth biggest value? (a) -4617 (b) -3/5 (c) -2/5 (d) 3/85 a Which is the fourth biggest value? (a) -45 (b) -11/6 (c) 0 (d) 1/3 (e) 0.2 b What is the second smallest value in 90, 7, -0.2, -17? -0.2 What is the fifth smallest value in 5, -5/3, -1, -11, 7/4? 5 Which is the biggest value? (a) 3/2 (b) 7 (c) 5 (d) -4/7 (e) 32/15 b What is the fifth biggest value in 17, -7/4, -0.03, -1.7, -2/9, 5? -1.7 Which is the third smallest value? (a) 6 (b) 0.5 (c) 111 c What is the biggest value in 4, -2.04, -15/7, -4, 2/9? 4 What is the third smallest value in 3.3, -16/5, -0.1, -2/9? -0.1 Which is the sixth biggest value? (a) 62 (b) 0.32 (c) -0.1 (d) 1 (e) -0.3 (f) 1.1 e Which is the smallest value? (a) 42619 (b) -7 (c) 3 b Which is the second smallest value? (a) -2 (b) -3/8 (c) 2 (d) -1/205 (e) 7 b Which is the third smallest value? (a) -0.5 (b) 0.1 (c) -168814 b What is the second smallest value in -3, -2257, 6? -3 Which is the fifth smallest value? (a) -3 (b) 5 (c) 302 (d) 0.12 (e) -2 c What is the smallest value in 11, -9, 8, -1, 0.3, 5? -9 What is the third biggest value in 3, -0.2, 2/5, -0.5, -2/7, 8/1705? 8/1705 What is the third biggest value in -0.09, 3, 1/72, 0.4? 1/72 Which is the third smallest value? (a) 1/6 (b) 26 (c) -26.61 (d) -3/7 a What is the second smallest value in 0.01, -1/2, -1/6, 8.6, -0.02? -1/6 What is the second biggest value in -4/5, 2, -131, -19? -4/5 Which is the third biggest value? (a) 0.27 (b) 1 (c) 219 (d) -1/3 a What is the third biggest value in 3/7, -2, -46/51, 1/4? -46/51 Which is the fourth smallest value? (a) 2 (b) -5 (c) -4 (d) 3 (e) -0.28 (f) 42.3 a What is the biggest value in 1/2, 14, 5, -1.4, -1/3? 14 What is the biggest value in -2, -0.2, 0, -1/3, 0.094? 0.094 What is the third biggest value in 173.831, -1/4, 2/3? -1/4 What is the second smallest value in -6, 2/9, 0.5, -706? -6 Which is the smallest value? (a) -32 (b) -2/5 (c) -1/3 (d) 0.2 a What is the fourth biggest value in -6/17, 4, 120, 1? -6/17 Which is the fourth biggest value? (a) -82748 (b) 5 (c) -2/5 (d) -3 a Which is the third smallest value? (a) 3 (b) -3 (c) -3880 a What is the fourth biggest value in -5, 2/5, -13, 120/7? -13 What is the second biggest value in 2, 0, 6/5, 4, -4/3103? 2 What is the second smallest value in -9, 1, -5062? -9 What is the biggest value in 3/17, 68/5, 18, -2/13, 0.2? 18 What is the smallest value in -5/8, -0.124, -2? -2 What is the third biggest value in -21.7, -3, -4, -0.1, -2/5, 70/3? -2/5 What is the second smallest value in 4, -2175, 3/8, 1/2? 3/8 What is the fifth smallest value in -3, 2/7, 6, 140, -1? 140 Which is the smallest value? (a) 2975 (b) 2 (c) 0.4 c What is the fifth smallest value in 1/2, -0.07, -4, -10/33, -5? 1/2 Which is the second biggest value? (a) 0 (b) -4 (c) -0.09 (d) -4/7 (e) -2013 c Which is the third smallest value? (a) 106 (b) 3 (c) 5 (d) 54 (e) 0.3 c Which is the fourth smallest value? (a) 0.1 (b) -0.287 (c) 3 (d) 0.3 (e) -0.4 (f) -54 a What is the smallest value in -1.2, -3, -0.3, 7/2, 1? -3 Which is the fifth biggest value? (a) -17 (b) 2 (c) -5 (d) 4 (e) -2/193 a What is the biggest value in 0.32, 0.06, -1/8, 19, 47? 47 Which is the third smallest value? (a) -44 (b) 0.1 (c) -2/21 (d) 407 b What is the second smallest value in 0.04, -5, 1291? 0.04 What is the second biggest value in -82/13, 12, 3? 3 Which is the smallest value? (a) 3 (b) -133618 (c) 5/3 b Which is the smallest value? (a) 4 (b) 2 (c) -5 (d) 1.26 c Which is the third biggest value? (a) -59 (b) -0.039 (c) -12 a Which is the third biggest value? (a) 4100 (b) 1/3 (c) -10 (d) -2/11 (e) -0.3 (f) 0.2 f What is the biggest value in -71, -0.3, -9/17? -0.3 What is the third biggest value in 0.199, 2/491, 12? 2/491 What is the third biggest value in 4, 2/13, 4.409? 2/13 Which is the fourth biggest value? (a) -0.05 (b) -10 (c) -6/5 (d) -4/3 (e) -14 (f) 2 d Which is the second smallest value? (a) -2 (b) -69/4 (c) -7/317 a Which is the second smallest value? (a) -18443 (b) 5/4 (c) 0.1 c Which is the fourth biggest value? (a) 0 (b) -95 (c) 5 (d) 3 (e) -2/7 e What is the fifth biggest value in 1.4, 2/13, 33, -19, -1/5? -19 What is the smallest value in 2, -7, -68.062? -68.062 What is the fifth biggest value in 0, 23, 29, -8, -2? -8 What is the third smallest value in 3, -0.2, 7, -58, 5/2? 5/2 What is the sixth biggest value in 0.5, -4, -516, -3/4, 1, 12? -516 What is the biggest value in 0.5, -0.4, 11, 3, 1, 16/43? 11 What is the second biggest value in 2, 2/61, -3, 1/5, -2/43? 1/5 Which is the fifth biggest value? (a) -1/9 (b) -5 (c) 1/4 (d) -2 (e) -0.3 (f) 37 d What is the third smallest value in -4, -4/5, 0.4, 101? 0.4 Which is the third smallest value? (a) -54090 (b) 5 (c) 0.1 (d) 0.5 (e) -0.3 c Which is the third smallest value? (a) -5 (b) 0.05023 (c) -2/5 b What is the third smallest value in 2/73, 0.057, 0.04, -0.2, 0? 2/73 Which is the third biggest value? (a) 21/40 (b) -1/10 (c) 5 b What is the second smallest value in 0.007696, -0.1, 4? 0.007696 Which is the third biggest value? (a) -2535 (b) -2/5 (c) 6/17 a Which is the fifth smallest value? (a) 1 (b) -2 (c) 4/183 (d) -0.4 (e) 1/23 a What is the third smallest value in 0.4, 23, -3, -8.4, 7/2? 0.4 What is the fourth biggest value in -3/25, 0.3, 10, -0.2? -0.2 Which is the smallest value? (a) 3 (b) 1 (c) 0 (d) -576270 d Which is the second biggest value? (a) 5 (b) -371 (c) 0.3 c Which is the third biggest value? (a) 2 (b) -0.3 (c) -432/205 (d) -2/7 (e) 5 (f) -3/4 d Which is the third biggest value? (a) 0.5 (b) 0.07 (c) 282/7 b Which is the fifth bigge
{ "pile_set_name": "DM Mathematics" }
hat is s(h(i))? 24*i**2 Let g be (18/(-27))/(2/(-6)). Let t(q) = -q**2 - 7*q**2 + 0*q**g - 5*q**2. Let j(u) be the first derivative of -u**2/2 + 1. What is t(j(a))? -13*a**2 Let x(q) = 2*q**2 + 1032*q + 1. Let f(k) = k**2. Calculate x(f(g)). 2*g**4 + 1032*g**2 + 1 Let h(g) = 450*g**2 - 32. Let v(a) = 3*a. Give h(v(f)). 4050*f**2 - 32 Let s(l) = 280*l**2 + 105. Let t(d) = -2*d**2 - 1. Let p(k) = -s(k) - 105*t(k). Let n(u) = -u. What is n(p(c))? 70*c**2 Let d(v) = -v. Let k(a) = -31*a**2 - 6. Let y(w) = 435*w**2 + 85. Suppose -2*b + 5 + 7 = 0. Let l(x) = b*y(x) + 85*k(x). What is l(d(q))? -25*q**2 Let t(c) = -2*c + 2. Let z(q) = -q**2 + 17*q - 17. Let g(a) = -51*t(a) - 6*z(a). Let m(l) = 7*l - 178 + 178. What is g(m(j))? 294*j**2 Let j(o) = 2*o**2 - 11351*o. Let a(x) = -3*x. Calculate a(j(z)). -6*z**2 + 34053*z Let h(c) = 4*c. Let a(m) = 36*m + 705. Give h(a(p)). 144*p + 2820 Let n = 42 - 42. Let i(b) = n*b**2 + b**2 + 6*b**2 + 17*b**2. Let o(j) = -2*j**2. What is o(i(p))? -1152*p**4 Let w(d) be the second derivative of d**4/6 - d. Let u(s) = 10 + 6*s - 12*s - 3 + 20*s. Let c(f) = 7*f + 4. Let j(x) = -7*c(x) + 4*u(x). What is w(j(r))? 98*r**2 Let d(n) be the third derivative of 11*n**5/60 + 2*n**2 + 41*n. Let g(x) = -18*x. Determine g(d(c)). -198*c**2 Let m(b) be the first derivative of -b**4/12 + 6*b**2 - 3. Let t(o) be the second derivative of m(o). Let g(r) = -38*r. Give g(t(z)). 76*z Let p(o) = -2*o**2 + 95*o - 95*o. Let n(f) be the first derivative of 17*f**2/2 + 2. Calculate p(n(v)). -578*v**2 Let w(q) = -q. Let l(j) = 2*j**2 - 28*j + 3. Let s be l(14). Let r(c) be the first derivative of 4 - 1/3*c**s + 0*c**2 + 0*c. What is r(w(u))? -u**2 Let y(z) = -z**2. Let b(m) = 9*m + 2. Let k(n) = -9 + 15 + 360*n + 75. Let g(a) = 81*b(a) - 2*k(a). Calculate g(y(h)). -9*h**2 Let m(c) = 9*c**2. Let u(t) = 3*t**2. Let h(p) = 4*m(p) - 11*u(p). Let k(f) be the second derivative of 4*f + 0*f**3 + 1/6*f**4 + 0*f**2 + 0. Determine h(k(j)). 12*j**4 Let b(l) = 90435*l**2. Let f(w) = -26*w. Determine b(f(s)). 61134060*s**2 Let t(w) = 2*w. Let y(c) = -4065841*c**2. What is y(t(h))? -16263364*h**2 Let g(q) = 12*q - 25. Let u(n) = -7*n + 15. Let j(x) = -6*g(x) - 10*u(x). Let b(a) = 523*a. What is j(b(o))? -1046*o Let q(j) = -104*j**2. Let f(w) = -14*w - 9. Let y(g) = 3*g + 2. Let c(n) = 2*f(n) + 9*y(n). What is q(c(u))? -104*u**2 Let p(i) = -176*i. Let j(z) = -11*z. Let b(m) = -m**3 + 2*m**2 - 5. Let q be b(-4). Let r = -58 + q. Let v(w) = r*j(w) - 2*p(w). Let x(c) = -c. What is v(x(t))? 11*t Let r(t) = t. Suppose -11 = -3*q - 32. Let s = 15 + q. Let m(i) = 8*i - 2 - 6 + s. Calculate r(m(f)). 8*f Let t(y) = -y**2. Suppose 3*n + 3*k - 1 = 5, 0 = 2*n + 4*k - 10. Let w = n + 9. Let v(g) = -w*g**2 - 26*g + 26*g - 2*g**2. Give v(t(o)). -10*o**4 Let f(c) = 467*c. Let n(r) = 6028*r + 2. Calculate n(f(w)). 2815076*w + 2 Let t(c) = -4*c. Let m(n) = -14*n - 1 + 51*n + 14 - 13. Determine m(t(v)). -148*v Let j(x) = -82*x**2 - 170*x**2 + 249*x**2. Let g(y) = 7*y**2 - 3*y. Let v(s) = s**2 + s. Let q(z) = 2*g(z) + 6*v(z). Determine j(q(l)). -1200*l**4 Let i be (-11 - -4)*-1*1. Let n(s) = -76 + 147 - 71 + i*s. Let t(o) = 9*o**2. Give t(n(q)). 441*q**2 Let t(v) = 2*v**2 + 2*v - 1199. Let p(c) = -1019*c. What is t(p(y))? 2076722*y**2 - 2038*y - 1199 Let v(c) be the second derivative of c**3/6 - 3*c - 11. Let a(o) = -o**2 - 3*o**2 - 7*o**2. Give a(v(t)). -11*t**2 Let r(c) = -4*c**2. Let k(s) = s + 1. Let v(a) = 3*a + 4. Let n(z) = -z**2 + 13*z - 26. Let q be n(10). Let u(p) = q*k(p) - v(p). Calculate r(u(w)). -4*w**2 Let d(z) = -2*z. Suppose 2*m - 14 = -0*m. Let h(w) be the first derivative of w**2 + m - 3*w**2 - 5. What is h(d(s))? 8*s Let j(o) = 13*o. Let p(h) = -52*h. Let l(a) = -9*j(a) - 2*p(a). Let d(z) = -18*z. What is d(l(i))? 234*i Let n(z) = -39*z - 2. Let h(g) = -60*g**2 + 14*g**2 + 30*g**2 + 25*g**2. What is n(h(t))? -351*t**2 - 2 Let g(n) = -14 - 2*n**2 + 32 - 18. Let l(j) = -3*j - 3. Give l(g(h)). 6*h**2 - 3 Let g(m) = -18*m**2. Let r(t) = 21*t**2 + 10*t + 10. Let f(h) = 10*h**2 + 6*h + 6. Let p(q) = 5*f(q) - 3*r(q). What is g(p(k))? -3042*k**4 Let p(q) = 10 - 10 - 61*q - 103*q + 31*q. Let u(t) = -4*t**2. Give u(p(l)). -70756*l**2 Suppose -2*i + i = -3. Let o = 1 - 5. Let f(v) = 5*v**2 - 4*v. Let b(d) = 4*d**2 - 3*d. Let s(y) = i*f(y) + o*b(y). Let w(u) = -2*u. Give w(s(c)). 2*c**2 Let t = 260 + -257. Let d = -78 + 118. Let w(x) = -35 + 75 + t*x**2 - d. Let l(a) = -a. Calculate l(w(q)). -3*q**2 Let z(q) = -30*q**2 + 543*q. Let a(y) = -18*y - 1. Give z(a(u)). -9720*u**2 - 10854*u - 573 Let z(p) = -19*p**2 + 13*p - 7. Let j(w) = -10*w**2 + 6*w - 3. Let d(m) = -7*j(m) + 3*z(m). Let x(y) = y. Give d(x(k)). 13*k**2 - 3*k Let o(i) = i**2. Let g be 4/5*(-5)/2 + 4. Let l(k) be the first derivative of 1/2*k**g + 0*k - 4. What is l(o(y))? y**2 Let i(d) = d**2. Let b(y) be the first derivative of -6*y**2 - 80. Determine i(b(z)). 144*z**2 Let o(b) = -15*b - 24. Let v(w) = -w - w + 0 + 5*w + 5. Let z be 9/45 - 48/(-10). Let r(c) = z*o(c) + 24*v(c). Let s(a) = 2*a**2. Give r(s(j)). -6*j**2 Suppose 11*x - 3 = 12*x. Let r(j) = 24*j - 3. Let t(h) = -24*h + 4. Let g(c) = x*t(c) - 4*r(c). Let u(l) = -l. What is u(g(m))? 24*m Let d(s) be the second derivative of 0 + 4*s**4 - 1/6*s**3 + 25*s + 0*s**2. Let n(c) = -c**2. Calculate n(d(l)). -2304*l**4 + 96*l**3 - l**2 Let d(i) = 140*i - 276*i + 136*i - 3*i**2. Let p(b) = -35*b. What is d(p(v))? -3675*v**2 Let f(q) = 187*q. Let z(o) = 2*o**2 + 107*o + 7. Give z(f(x)). 69938*x**2 + 20009*x + 7 Let q(i) = -419*i - 4. Let v(k) = 4*k. What is v(q(t))? -1676*t - 16 Let r(h) = -93*h + 7 - 7 + 6*h. Let u(x) = -x. Calculate u(r(b)). 87*b Suppose 5 = -3*l - q + 25, 2*l = -4*q + 30. Suppose 4*i = 3*i + l. Let w(o) = 3*o + i*o - 5*o. Let v(x) = -5*x. Determine v(w(n)). -15*n Let n(v) = -426*v**2. Let f(k) = 413*k**2 - 106*k**2 - 100*k**2 - 103*k**2 - 103*k**2. Calculate f(n(m)). 181476*m**4 Let a(n) = -266*n - 685. Let l(w) = 7*w**2. Calculate a(l(k)). -1862*k**2 - 685 Let k(o) be the second derivative of o**3/3 - 12*o. Let s(p) = 8 - 38 + 13 - p + 14. Calculate k(s(x)). -2*x - 6 Let x(m) = -2*m. Let z(g) = -689936*g + 5. Calculate x(z(a)). 1379872*a - 10 Let m(n) = 2*n**2 - 552. Let a(k) = 34*k. Calculate m(a(c)). 2312*c**2 - 552 Let l(g) = -23*g + 43*g - 21*g - 22*g. Let a(x) = -x. Calculate a(l(y)). 23*y Let g(n) be the third derivative of -11*n**5/60 + 7*n**2. Let a(s) = 10*s**2. Calculate a(g(i)). 1210*i**4 Let w(i) = -5*i + 3*i + i. Let c(g) = -g. Let p(q) = -1. Let l(k) = -c(k) - 3*p(k). Let z(a) = -a - 5. Let n(v) = -5*l(v) - 3*z(v). What is n(w(o))? 2*o Let b(a) = a**2. Let l(y) = 513*y**2 + y - 141. Give l(b(u)). 513*u**4 + u**2 - 141 Let a(d) = -d**2 + 3*d. Let u(i) = -3*i**2 + 7*i. Let s(y) = 14*a(y) - 6*u(y). Let f(o) be the third derivative of -5*o**4/24 + 34*o**2. Give s(f(h)). 100*h**2 Let b(l) = -20*l**2 + 26*l - 44. Let y(r) = r**2 - r + 2. Let q(d) = -2*b(d) - 44*y(d). Let g(w) = -w. Calculate g(q(m)). 4*m**2 + 8*m Let b(p) = -p. Let f(r) = -40*r**2 - 16*r + 16. Let k(g) = 4*g + 1 + g + 13*g**2 - 6 + 0. Let v(u) = -5*f(u) - 16*k(u). Determine v(b(z)). -8*z**2 Let h(l) = 18*l - 25*l - 5*l. Let b(d) = d + 6. Calculate b(h(j)). -12*j + 6 Let k(t) = -t**2. Let j be (8/5)/(1/5). Let h(x) = 13*x + 7 + j - 17. Give h(k(g)). -13*g**2 - 2 Let s(b) = -6*b. Let l(q) = 2433*q**2 - 1224*q**2 - 1216*q**2. Determine l(s(h)). -252*h**2 Let g(k) = 12*k**2 + 4*k + 55. Let q(m) = 26*m. What is g(q(a))? 8112*a**2 + 104*a + 55 Let k(l) = l - 36. Let n(c) = -c + 3. Let g(p) = -k(p) - 4*n(p). Let x(i) = i. Determine g(x(a)). 3*a + 24 Let f = -22 + 22. Let l(k) = 6*k - 7*k + f*k. Let i(x) = 6*x. Calculate i(l(u)). -6*u Let a be 20/8*8/5. Let k = 1 + a. Let q(f) = 0*f - k*f - 2*f + 9*f. Let j(z) = z. Calculate j(q(m)). 2*m Let u(x) = -7*x**2 + x. Let k(z) = -26*z**2 + 4*z. Let n(h) = -k(h) + 4*u(h). Let d(c) = -407*c. Give d(n(a)). 814*a**2 Let t(f) = -2*f**2. Let z be (0 - -5) + (11 - 12). Let x(c) = 13*c + z*c - c. Calculate x(t(j)). -32*j**2 Let x(c) = 1243354*c**2. Let u(k) = -k. Give x(u(s)). 1243354*s**2 Let w(k) be the second derivative of -5*k**4/4 + 8*k. Let u(l) = 29*l - 29*l + 2*l**2. What is w(u(r))? -60*r**4 Let q(g) = -880*g. Let x(n) = -9*n
{ "pile_set_name": "DM Mathematics" }
, -224959? -37503*q + 59 What is the v'th term of -86328, -86961, -87594? -633*v - 85695 What is the t'th term of -152605, -1221077, -4121275, -9769081, -19080377? -152647*t**3 + 19*t**2 + 23 What is the k'th term of -37261370, -74522736, -111784100, -149045462, -186306822, -223568180? k**2 - 37261369*k - 2 What is the t'th term of 3446, 6668, 9888, 13106, 16322, 19536, 22748? -t**2 + 3225*t + 222 What is the c'th term of 157350, 157069, 156308, 154827, 152386? -40*c**3 - c + 157391 What is the x'th term of 57214, 57000, 56784, 56566, 56346? -x**2 - 211*x + 57426 What is the h'th term of 999, -4343, -9685, -15027, -20369? -5342*h + 6341 What is the g'th term of 32491, 32722, 33351, 34576, 36595? 33*g**3 + g**2 - 3*g + 32460 What is the b'th term of -1275700, -2551397, -3827094, -5102791, -6378488, -7654185? -1275697*b - 3 What is the q'th term of 18163, 35973, 53817, 71701, 89631, 107613, 125653? q**3 + 11*q**2 + 17770*q + 381 What is the f'th term of -509628, -509753, -509960, -510249? -41*f**2 - 2*f - 509585 What is the o'th term of 456, 3842, 13100, 31158, 60944? 488*o**3 + 8*o**2 - 54*o + 14 What is the l'th term of -2124437, -2124436, -2124437, -2124440, -2124445, -2124452, -2124461? -l**2 + 4*l - 2124440 What is the x'th term of 10935, 15907, 20881, 25857, 30835? x**2 + 4969*x + 5965 What is the l'th term of -18312, -36651, -55036, -73491, -92040, -110707? -4*l**3 + l**2 - 18314*l + 5 What is the r'th term of 6312456, 6312455, 6312454? -r + 6312457 What is the f'th term of -411803463, -411803465, -411803467, -411803469? -2*f - 411803461 What is the i'th term of 26153, 25773, 25143, 24263, 23133? -125*i**2 - 5*i + 26283 What is the r'th term of -19043567, -19043568, -19043569, -19043570, -19043571? -r - 19043566 What is the v'th term of 2939240, 2939229, 2939218, 2939207, 2939196? -11*v + 2939251 What is the d'th term of 11274, 11235, 11146, 10983, 10722? -4*d**3 - d**2 - 8*d + 11287 What is the j'th term of 1363, 1430, 1493, 1552, 1607, 1658? -2*j**2 + 73*j + 1292 What is the q'th term of -4583, -3504, -1705, 814? 360*q**2 - q - 4942 What is the q'th term of 25684, 51393, 77116, 102853, 128604, 154369, 180148? 7*q**2 + 25688*q - 11 What is the n'th term of -2434, -2732, -3206, -3862, -4706? -n**3 - 82*n**2 - 45*n - 2306 What is the k'th term of 672665473, 672665472, 672665471, 672665470? -k + 672665474 What is the y'th term of -2049, -16002, -53873, -127620, -249201, -430574, -683697? -1993*y**3 - y**2 + y - 56 What is the b'th term of -2427, -2708, -3175, -3828? -93*b**2 - 2*b - 2332 What is the p'th term of -27790, -28987, -30184, -31381? -1197*p - 26593 What is the o'th term of 9330, 9147, 8654, 7701, 6138, 3815? -25*o**3 - 5*o**2 + 7*o + 9353 What is the w'th term of -3740, -13562, -29944, -52892, -82412, -118510, -161192? -w**3 - 3274*w**2 + 7*w - 472 What is the j'th term of -76738, -306958, -690656, -1227832? -76739*j**2 - 3*j + 4 What is the h'th term of 413, 1398, 3723, 8150, 15441, 26358? 127*h**3 - 92*h**2 + 372*h + 6 What is the c'th term of 5931, 9546, 19365, 38490, 70023, 117066? 517*c**3 - 4*c + 5418 What is the s'th term of -25952, -133977, -427186, -998171, -1939524? -15432*s**3 - s - 10519 What is the x'th term of -31736, -61134, -90532? -29398*x - 2338 What is the l'th term of -847282, -847224, -847166? 58*l - 847340 What is the a'th term of -21090144, -42180290, -63270436? -21090146*a + 2 What is the i'th term of 26373324, 26373325, 26373326, 26373327? i + 26373323 What is the w'th term of 26755663, 53511327, 80266991? 26755664*w - 1 What is the d'th term of 94361, 188739, 283117, 377495, 471873? 94378*d - 17 What is the b'th term of -10462482, -10462481, -10462480, -10462479? b - 10462483 What is the s'th term of -8195, -32945, -74195, -131945, -206195, -296945, -404195? -8250*s**2 + 55 What is the a'th term of 1185, 1134, 1075, 1014, 957, 910, 879? a**3 - 10*a**2 - 28*a + 1222 What is the b'th term of 20202, 40484, 60768, 81054, 101342, 121632? b**2 + 20279*b - 78 What is the p'th term of 374787, 750280, 1125773, 1501266, 1876759? 375493*p - 706 What is the y'th term of 6128, 9549, 12970, 16391, 19812? 3421*y + 2707 What is the x'th term of 274047436, 548094867, 822142298, 1096189729, 1370237160, 1644284591? 274047431*x + 5 What is the g'th term of 108, 233, 358, 483? 125*g - 17 What is the z'th term of 4235, 12350, 20465, 28580, 36695? 8115*z - 3880 What is the i'th term of 2441, 3987, 5509, 6995, 8433, 9811? -2*i**3 + 1560*i + 883 What is the z'th term of -6135, -10894, -14281, -16302, -16963, -16270? -z**3 + 692*z**2 - 6828*z + 2 What is the c'th term of -874671, -3498643, -7871927, -13994523, -21866431, -31487651? -874656*c**2 - 4*c - 11 What is the j'th term of -7876, -27571, -60390, -106327, -165376, -237531, -322786, -421135? j**3 - 6568*j**2 + 2*j - 1311 What is the z'th term of 1168635, 2337314, 3505993? 1168679*z - 44 What is the p'th term of -194984, -194971, -194958, -194945, -194932, -194919? 13*p - 194997 What is the m'th term of -33716, -33544, -33372, -33200, -33028, -32856? 172*m - 33888 What is the q'th term of 34311, 136448, 306413, 544206, 849827? 33914*q**2 + 395*q + 2 What is the t'th term of -637, -2056, -4519, -8026? -522*t**2 + 147*t - 262 What is the k'th term of -145874, -146414, -146954? -540*k - 145334 What is the m'th term of 10612766, 21225523, 31838280, 42451037, 53063794? 10612757*m + 9 What is the w'th term of 7158687, 14317356, 21476025, 28634694, 35793363, 42952032? 7158669*w + 18 What is the a'th term of -1607, -1536, -1377, -1100, -675, -72, 739? 5*a**3 + 14*a**2 - 6*a - 1620 What is the o'th term of -48986729, -48986714, -48986699? 15*o - 48986744 What is the y'th term of -62, -63, -8, 103, 270, 493? 28*y**2 - 85*y - 5 What is the q'th term of -2038879, -2038979, -2039079, -2039179, -2039279, -2039379? -100*q - 2038779 What is the p'th term of -6577, -9967, -13357, -16747, -20137, -23527? -3390*p - 3187 What is the m'th term of 347770236, 695540471, 1043310706? 347770235*m + 1 What is the z'th term of -95830442, -95830443, -95830444, -95830445, -95830446, -95830447? -z - 95830441 What is the n'th term of 38876, 40237, 41600, 42965, 44332, 45701, 47072? n**2 + 1358*n + 37517 What is the g'th term of 8269, 10047, 13009, 17155, 22485, 28999? 592*g**2 + 2*g + 7675 What is the g'th term of 3261152, 6522343, 9783536, 13044731, 16305928? g**2 + 3261188*g - 37 What is the s'th term of -4045, -8203, -12447, -16819, -21361, -26115? -7*s**3 - s**2 - 4106*s + 69 What is the r'th term of -33021, -264176, -891581, -2113362, -4127645? -33021*r**3 + r**2 - 11*r + 10 What is the v'th term of -11469072, -11469074, -11469076, -11469078, -11469080, -11469082? -2*v - 11469070 What is the z'th term of 1565417, 3130822, 4696227, 6261632? 1565405*z + 12 What is the s'th term of 12199186, 12199185, 12199184, 12199183, 12199182, 12199181? -s + 12199187 What is the l'th term of 7509, 7636, 7985, 8664, 9781? 18*l**3 + 3*l**2 - 8*l + 7496 What is the f'th term of 332478, 2659727, 8976540, 21277701, 41557994, 71812203, 114035112, 170221505? 332464*f**3 - 2*f**2 + 7*f + 9 What is the w'th term of -689, -1468, -2305, -3212, -4201, -5284, -6473? -2*w**3 - 17*w**2 - 714*w + 44 What is the g'th term of -203218, -203455, -203680, -203887, -204070, -204223, -204340, -204415? g**3 - 244*g - 202975 What is the v'th term of -17671, -35280, -52823, -70300, -87711, -105056, -122335? 33*v**2 - 17708*v + 4 What is the d'th term of -757, -1108, -1447, -1774? 6*d**2 - 369*d - 394 What is the v'th term of 50965, 50234, 49503, 48772? -731*v + 51696 What is the x'th term of -2601, -2932, -3175, -3336, -3421? -x**3 + 50*x**2 - 474*x - 2176 What is the k'th term of -184778, -185832, -186886, -187940? -1054*k - 183724 What is the y'th term of 184062, 368151, 552272, 736425? 16*y**2 + 184041*y + 5 What is the w'th term of 80628177, 161256361, 241884545? 80628184*w - 7 What is the i'th term of 251248, 251500, 251922, 252514, 253276? 85*i**2 - 3*i + 251166 What is the y'th term of 27015105, 54030195, 81045287, 108060381, 135075477, 162090575, 189105675? y**2 + 27015087*y + 17 What is the h'th term of 6102, 11358, 15770, 19338, 22062? -422*h**2 + 6522*h + 2 What is the c'th term of -15144, -16416, -17664, -18882, -20064, -21204
{ "pile_set_name": "DM Mathematics" }
n 10:00 PM and 2:09 AM? 249 How many minutes are there between 7:54 PM and 4:53 AM? 539 What is 325 minutes after 6:13 AM? 11:38 AM What is 669 minutes after 12:46 AM? 11:55 AM How many minutes are there between 9:43 AM and 2:07 PM? 264 How many minutes are there between 5:39 PM and 6:28 PM? 49 How many minutes are there between 4:03 AM and 3:21 PM? 678 How many minutes are there between 7:04 PM and 6:50 AM? 706 How many minutes are there between 8:36 AM and 6:18 PM? 582 What is 454 minutes after 11:49 AM? 7:23 PM How many minutes are there between 11:38 PM and 10:06 AM? 628 What is 560 minutes before 12:08 AM? 2:48 PM What is 430 minutes before 5:40 AM? 10:30 PM How many minutes are there between 4:06 AM and 11:06 AM? 420 What is 681 minutes after 12:58 AM? 12:19 PM How many minutes are there between 2:57 AM and 10:05 AM? 428 How many minutes are there between 8:18 PM and 2:43 AM? 385 What is 706 minutes before 12:38 AM? 12:52 PM What is 321 minutes before 2:03 AM? 8:42 PM What is 170 minutes before 7:18 PM? 4:28 PM What is 454 minutes after 3:16 PM? 10:50 PM What is 121 minutes after 11:59 PM? 2:00 AM What is 685 minutes before 6:33 PM? 7:08 AM What is 235 minutes before 8:04 PM? 4:09 PM What is 33 minutes after 2:21 AM? 2:54 AM How many minutes are there between 6:35 AM and 6:21 PM? 706 What is 165 minutes before 3:29 PM? 12:44 PM What is 14 minutes after 10:00 AM? 10:14 AM How many minutes are there between 3:26 AM and 6:43 AM? 197 What is 669 minutes after 3:57 AM? 3:06 PM What is 391 minutes before 10:54 AM? 4:23 AM What is 117 minutes after 9:03 AM? 11:00 AM What is 367 minutes before 4:00 PM? 9:53 AM What is 4 minutes before 12:38 AM? 12:34 AM What is 63 minutes after 4:20 AM? 5:23 AM How many minutes are there between 2:16 AM and 7:12 AM? 296 What is 702 minutes after 1:47 AM? 1:29 PM What is 111 minutes after 9:17 PM? 11:08 PM What is 576 minutes after 5:56 PM? 3:32 AM How many minutes are there between 1:07 AM and 8:59 AM? 472 What is 665 minutes before 6:38 AM? 7:33 PM What is 623 minutes before 3:08 PM? 4:45 AM How many minutes are there between 4:23 PM and 3:51 AM? 688 What is 503 minutes after 2:49 PM? 11:12 PM What is 585 minutes before 5:09 AM? 7:24 PM How many minutes are there between 3:32 PM and 5:10 PM? 98 What is 69 minutes before 7:10 AM? 6:01 AM What is 546 minutes before 11:03 AM? 1:57 AM What is 595 minutes after 2:02 PM? 11:57 PM What is 693 minutes before 1:40 AM? 2:07 PM How many minutes are there between 10:18 PM and 10:43 PM? 25 What is 36 minutes after 5:41 PM? 6:17 PM What is 664 minutes before 7:24 AM? 8:20 PM What is 293 minutes before 3:34 PM? 10:41 AM What is 502 minutes after 3:13 PM? 11:35 PM What is 279 minutes before 1:17 AM? 8:38 PM What is 295 minutes after 4:07 PM? 9:02 PM How many minutes are there between 4:46 AM and 12:33 PM? 467 How many minutes are there between 2:46 AM and 12:37 PM? 591 What is 667 minutes after 7:33 AM? 6:40 PM How many minutes are there between 3:39 PM and 8:34 PM? 295 What is 6 minutes before 5:40 PM? 5:34 PM What is 414 minutes before 3:14 PM? 8:20 AM How many minutes are there between 9:49 AM and 1:44 PM? 235 What is 387 minutes before 7:31 AM? 1:04 AM How many minutes are there between 3:50 AM and 7:14 AM? 204 How many minutes are there between 7:47 AM and 9:54 AM? 127 How many minutes are there between 4:10 AM and 9:14 AM? 304 What is 67 minutes after 10:30 PM? 11:37 PM What is 547 minutes after 7:32 AM? 4:39 PM What is 624 minutes after 2:05 AM? 12:29 PM How many minutes are there between 12:59 PM and 3:39 PM? 160 How many minutes are there between 11:51 PM and 3:08 AM? 197 How many minutes are there between 5:16 PM and 2:57 AM? 581 What is 42 minutes before 1:18 AM? 12:36 AM What is 627 minutes before 7:30 AM? 9:03 PM How many minutes are there between 5:44 AM and 6:09 AM? 25 What is 398 minutes before 9:47 PM? 3:09 PM What is 586 minutes after 2:41 PM? 12:27 AM What is 186 minutes after 9:18 AM? 12:24 PM How many minutes are there between 9:15 PM and 7:06 AM? 591 How many minutes are there between 5:50 AM and 6:15 AM? 25 How many minutes are there between 11:28 AM and 2:13 PM? 165 What is 40 minutes before 12:16 PM? 11:36 AM How many minutes are there between 12:56 AM and 6:21 AM? 325 What is 323 minutes before 5:45 AM? 12:22 AM How many minutes are there between 1:27 PM and 3:30 PM? 123 How many minutes are there between 4:18 PM and 10:18 PM? 360 What is 320 minutes after 11:41 AM? 5:01 PM What is 96 minutes before 8:27 AM? 6:51 AM What is 9 minutes before 10:55 PM? 10:46 PM What is 142 minutes before 10:56 AM? 8:34 AM What is 690 minutes before 6:06 AM? 6:36 PM How many minutes are there between 10:10 AM and 10:30 AM? 20 What is 148 minutes after 2:20 PM? 4:48 PM What is 14 minutes after 4:06 PM? 4:20 PM What is 6 minutes before 12:27 PM? 12:21 PM What is 532 minutes after 7:56 AM? 4:48 PM What is 394 minutes before 11:54 AM? 5:20 AM How many minutes are there between 6:22 AM and 11:45 AM? 323 What is 139 minutes after 11:01 AM? 1:20 PM How many minutes are there between 4:46 AM and 7:24 AM? 158 How many minutes are there between 1:34 AM and 6:23 AM? 289 What is 291 minutes before 5:15 AM? 12:24 AM What is 631 minutes after 7:04 PM? 5:35 AM How many minutes are there between 1:54 PM and 5:16 PM? 202 How many minutes are there between 10:46 AM and 12:49 PM? 123 How many minutes are there between 10:56 PM and 5:50 AM? 414 What is 597 minutes before 3:18 PM? 5:21 AM How many minutes are there between 3:57 AM and 8:23 AM? 266 What is 405 minutes before 11:09 PM? 4:24 PM How many minutes are there between 9:27 AM and 8:54 PM? 687 What is 609 minutes before 9:37 AM? 11:28 PM How many minutes are there between 12:04 AM and 12:31 AM? 27 How many minutes are there between 3:40 AM and 7:52 AM? 252 How many minutes are there between 7:33 AM and 2:14 PM? 401 How many minutes are there between 1:13 PM and 3:48 PM? 155 What is 6 minutes after 12:49 PM? 12:55 PM How many minutes are there between 4:59 AM and 10:53 AM? 354 What is 702 minutes after 1:10 PM? 12:52 AM What is 11 minutes after 4:01 PM? 4:12 PM What is 485 minutes after 6:09 AM? 2:14 PM What is 323 minutes after 3:19 PM? 8:42 PM What is 432 minutes before 3:29 AM? 8:17 PM What is 96 minutes before 6:59 AM? 5:23 AM How many minutes are there between 12:54 PM and 12:37 AM? 703 How many minutes are there between 7:06 AM and 4:18 PM? 552 What is 514 minutes before 3:34 AM? 7:00 PM How many minutes are there between 12:17 AM and 11:34 AM? 677 What is 156 minutes after 11:04 PM? 1:40 AM How many minutes are there between 10:00 PM and 4:14 AM? 374 How many minutes are there between 6:39 PM and 5:07 AM? 628 What is 514 minutes before 7:45 AM? 11:11 PM What is 296 minutes before 12:34 AM? 7:38 PM What is 453 minutes before 2:23 AM? 6:50 PM How many minutes are there between 4:22 PM and 12:10 AM? 468 How many minutes are there between 9:25 PM and 10:09 PM? 44 How many minutes are there between 1:52 PM and 4:09 PM? 137 What is 605 minutes before 11:25 PM? 1:20 PM What is 646 minutes before 12:45 AM? 1:59 PM What is 321 minutes before 8:31 AM? 3:10 AM What is 209 minutes before 5:43 PM? 2:14 PM How many minutes are there between 8:57 AM and 9:11 AM? 14 How many minutes are there between 2:38 PM and 10:26 PM? 468 What is 98 minutes after 8:16 AM? 9:54 AM How many minutes are there between 5:34 AM and 8:09 AM? 155 What is 473 minutes before 9:49 AM? 1:56 AM What is 399 minutes before 6:30 AM? 11:51 PM What is 672 minutes after 5:43 PM? 4:55 AM How many minutes are there between 4:56 PM and 6:53 PM? 117 What is 154 minutes after 10:26 PM? 1:00 AM What is 573 minutes after 8:37 AM? 6:10 PM How many minutes are there between 8:23 AM and 5:30 PM? 547 What is 690 minutes before 1:20 AM? 1:50 PM How many minutes are there between 1:08 AM and 10:24 AM? 556 What is 605 minutes after 7:48 AM? 5:53 PM How many minutes are there between 11:17 PM and 2:10 AM? 173 How many minutes are there between 11:57 PM and 7:40 AM? 463 What is 627 minutes after 6:52 AM? 5:19 PM What is 394 minutes before 3:22 PM? 8:48 AM How many minutes are there between 5:51 AM and 9:18 AM? 207 How many minutes are there between 9:07 PM and 2:44 AM? 337 What is 128 m
{ "pile_set_name": "DM Mathematics" }
* 0.02 -23.84 Product of -0.040431 and -59. 2.385429 -106035*-2 212070 -2*45.39 -90.78 Calculate -0.4*-1708702. 683480.8 What is -168473 times -0.2? 33694.6 0.4 times -628.2 -251.28 1857 times -3.9 -7242.3 6.8*53105 361114 Work out 61 * 31.386. 1914.546 23.813 * 0.06 1.42878 2.932 times 0.0647 0.1897004 -140*-1.6 224 -2.701*5.24 -14.15324 Work out -9 * -23145.6. 208310.4 What is the product of -104516 and 0.5? -52258 -0.58*4684 -2716.72 Calculate -0.5*-370607. 185303.5 -0.14 * 41129 -5758.06 -2 times -0.7375 1.475 What is -53 times 7373? -390769 Product of 0.049 and -0.0174. -0.0008526 What is the product of 73 and -1623? -118479 Calculate -0.031616*-2. 0.063232 What is the product of 1 and -79384? -79384 -5.6775 * -0.2 1.1355 Work out 444.43 * -41. -18221.63 Work out -1006 * -785. 789710 Multiply 2 and 14309. 28618 What is the product of 5 and 0.258559? 1.292795 What is -24.57 times -813? 19975.41 Product of -63.15 and -12. 757.8 What is -0.4 times -0.42249? 0.168996 -0.11 times -3608 396.88 Multiply 8.696 and -0.3. -2.6088 Product of -322085 and 1.3. -418710.5 What is the product of -3.2 and -459? 1468.8 What is 749 times 6678? 5001822 Product of -0.4583 and 1.8. -0.82494 Multiply -2 and -941780. 1883560 0.1 times 494.003 49.4003 What is the product of -10.626 and 28? -297.528 Multiply -24583.61 and 3. -73750.83 What is the product of -0.053463 and -2? 0.106926 Multiply -4.7 and 448. -2105.6 Work out -19463 * -0.54. 10510.02 What is the product of 71.989 and -0.07? -5.03923 8 * -120.358 -962.864 Work out 0.436 * -148. -64.528 What is 0.48206 times 1? 0.48206 154525*-3 -463575 Work out -14 * 499.1. -6987.4 What is 3463 times 2.58? 8934.54 Multiply -0.4567 and -21. 9.5907 Product of 18 and -0.097077. -1.747386 -150.45*-2.21 332.4945 Product of -13793 and -0.025. 344.825 What is -0.3 times 248.49? -74.547 Product of -3 and -0.104143. 0.312429 -0.23347 times 0.3 -0.070041 What is 214170 times -10? -2141700 Work out 0.1424 * -2.2. -0.31328 Work out 0.2207 * -0.08. -0.017656 Multiply 692 and 7.67. 5307.64 Work out 2.5613 * -0.38. -0.973294 Product of -6 and 21680. -130080 Work out -27.5 * 283. -7782.5 Calculate -0.2*125.235. -25.047 What is 15.481 times -2? -30.962 Product of -0.386 and 2.27. -0.87622 4.202*55 231.11 -3090*-0.12 370.8 Multiply 64851 and 0. 0 What is the product of -0.4 and -19812? 7924.8 100 times 124.1 12410 0.08 times 109854 8788.32 What is the product of -216 and 2.9? -626.4 0.1*0.18875 0.018875 What is -413.25 times -0.3? 123.975 -184 * 1.52 -279.68 What is the product of 106107 and 4? 424428 0.1498 * 0.044 0.0065912 Calculate 520*30. 15600 What is the product of -5 and -1267? 6335 Calculate 297.82*0.03. 8.9346 -193 times 0.13006 -25.10158 Multiply 0.4433 and -0.4. -0.17732 0.4385 * 21 9.2085 Multiply 0.2991 and -2. -0.5982 Multiply -25 and 5037. -125925 What is the product of -0.3 and 102.5066? -30.75198 -8182 * 1 -8182 -18777*-31 582087 3 * -44062 -132186 Calculate 2.7*0.02097. 0.056619 What is 2872 times -0.15? -430.8 Product of -6 and -41908. 251448 -121*-20 2420 Calculate -10184*-0.01. 101.84 -3025141 * 0.5 -1512570.5 Calculate 1.32*105. 138.6 -14.7 times -1.4191 20.86077 What is the product of -11 and -0.00373? 0.04103 Product of 9 and -0.0958. -0.8622 Calculate -168*-4170. 700560 Multiply -10 and 0.03692. -0.3692 Product of -33994 and -46. 1563724 Multiply -16468 and 0.2. -3293.6 Work out -88321 * 0.4. -35328.4 Work out -25778 * -0.4. 10311.2 What is -2 times 38.55? -77.1 Product of -3 and 1368. -4104 Multiply -15.7 and 175. -2747.5 0.5 * -2.246 -1.123 Work out 0 * -60.004. 0 What is -401.3 times -42? 16854.6 Calculate 0.25*58438. 14609.5 Product of -16178 and -1. 16178 Calculate -14.95*-4.8. 71.76 What is 5423 times 2? 10846 What is -7 times -4524.7? 31672.9 0.0250317 times 0.4 0.01001268 1344290*4 5377160 What is the product of -0.06 and 530? -31.8 What is the product of 0.9 and -212194? -190974.6 Multiply -0.1 and 516598. -51659.8 0.04 times -124.4 -4.976 -0.1 * -109267 10926.7 -0.03470459 * 1 -0.03470459 Multiply 0.159 and -0.277. -0.044043 6.6 * 0.0315 0.2079 What is the product of -3 and -264813? 794439 Calculate -0.5*10332. -5166 What is the product of 2.3 and -9235? -21240.5 Multiply -308455 and -0.1. 30845.5 What is 158 times 859.1? 135737.8 Product of -528 and -759. 400752 Product of -0.0231 and 40.55. -0.936705 71642 * -6 -429852 What is 6.1 times 14405? 87870.5 Product of -68 and 1394.1. -94798.8 What is 8 times -0.060016? -0.480128 Work out 0.6 * -1.22406. -0.734436 What is -2453 times -142? 348326 Product of -6316 and -0.7. 4421.2 Product of -45731 and 0.07. -3201.17 Product of 25 and 42757. 1068925 What is -0.8 times -3.7996? 3.03968 0.1*-0.24518 -0.024518 0.3*24.9314 7.47942 3199 times 1441 4609759 What is -30013 times -0.66? 19808.58 What is 91527 times -0.08? -7322.16 Product of 3263 and -0.09. -293.67 What is 49 times -0.364? -17.836 What is the product of 64 and -52.7? -3372.8 What is the product of -0.3 and -1003.7? 301.11 Product of 502300 and 1. 502300 -5*-3200 16000 Multiply 32 and 2874. 91968 What is -1990 times 0.08? -159.2 1719*-0.157 -269.883 What is the product of -65.8546 and -1? 65.8546 What is 0.6675 times -31? -20.6925 Calculate 4.3*0.3189. 1.37127 0.98*4 3.92 What is -1 times 615.2? -615.2 -1.8492*0.5 -0.9246 What is 0.21609 times 2.1? 0.453789 -131.3 times -33 4332.9 Calculate 0.059158*-0.4. -0.0236632 What is -16.8 times -290? 4872 What is 0.17 times -1.259? -0.21403 -1*1214.18 -1214.18 5 times 28886.1 144430.5 What is -1367.7 times -0.2? 273.54 -3647*33 -120351 Work out 2987 * 1.32. 3942.84 2.9 * -560 -1624 What is -417 times -0.056? 23.352 Calculate 0*-39047. 0 -3.37082 * -0.2 0.674164 Work out -0.07 * 365. -25.55 What is the product of -3.91 and 249? -973.59 0.5226 * 21 10.9746 0.07727*4 0.30908 Calculate -4*-36. 144 Work out 292 * 1.1381. 332.3252 Work out 863 * 0.5. 431.5 Product of -312 and 0.65. -202.8 0.4*0.54523 0.218092 What is 26697 times -20? -533940 0.6*68.4 41.04 4295.94 * 0.3 1288.782 What is -5627 times -203? 1142281 -2.1*-92931 195155.1 Work out 4817 * -3. -14451 Product of -0.3 and -329.194. 98.7582 -1.0776 times 47 -50.6472 Work out -28.98 * 3.08. -89.2584 -6*-9932 59592 548.91 * -0.01 -5.4891 What is the product of -589231 and -0.5? 294615.5 Calculate -621*-3.77. 2341.17 Calculate -7*889.4. -6225.8 Work out 0.25 * 1158. 289.5 What is -1561095 times 0.5? -780547.5 What is -421.5 times 0.6? -252.9 Product of -0.2 and 0.4982. -0.09964 What is 13548 times 1? 13548 Product of -0.3 and -2639. 791.7 Work out 0.2909 * 4. 1.1636 -0.06079 times 0.1 -0.006079 Calculate 0.73*1.697. 1.23881 What is the product of -145020 and -0.05? 7251 -4.2 times -95616 401587.2 225 * -51.54 -11596.5 What is the product of 4079 and -1.4? -5710.6 Calculate -1.89343*1. -1.89343 -17 times -897 15249 -3.3 * -71 234.3 Product of -3455 and 231. -798105 Product of -0.74866 and -0.5. 0.37433 What is the product of -17 and 662? -11254 Work out -1 * -491386. 491386 -0.4 times 18012 -7204.8 Multiply 1.7168 and 0.9. 1.54512 Multiply 0.313885 and 1. 0.313885 Product of -13.258 and -0.3. 3.9774 -108804*0.1 -10880.4 110280*5 551400 What is the product of 8202 and 0.08? 656.16 3602*-10.1 -36380.2 What is the product of 0.7 and -159050? -111335 What is -9 times -42095? 378855 What is the product of 28 and 0.879? 24.612 Product of -0.4 and -4299.1. 1719.64 Multiply 0.2134 and 0.029. 0.0061886 -645 times 28 -18060 -741534 * 0.1 -74153.4 70.85*-2 -141.7 Calculate -0.06*-25255. 1515.3 What is 0.156 times -360? -56.16 Calculate -13060*20. -261200 Multiply -4143912 and 0.4. -1657564.8 3.7 * -0.6199 -2.29363 Multiply -15160 and 1.04. -15766.4 -1.2864 * 0.2 -0.25728 Multiply -759 and -2437. 1849683 -2*44632.4 -89264.8 What is the product of -0.1 and -17985? 1798.5 67 times -9371 -627857 Multiply -0.1 and -11078. 1107.8 0.22*-2035 -447.7 Multiply 411 and -464. -190704 143.321 * -0.2 -28.6642 -370 times 670 -247900 8670*2 17340 1235156 * 0.01 12351.56 Work out 1 * 90721. 90721 0.045 * 5.8 0.261 -764 times -0.013 9.932 Work out -2 * -0.15705. 0.3141 Product of 110 and -1.0554. -116.094 Product of 3.42 and -0.36. -1.2312 What is -4.988 times -0.071? 0.354148 Work out 14.974 * 3. 44.922 Product of 0.015 and -3542. -5
{ "pile_set_name": "DM Mathematics" }
7 + 120. Let w be ((-1)/5)/((-20)/(-25)). Which is the closest to w? (a) m (b) 0.1 (c) h c Let y = -0.14 + 0.03. Let l = y + 0.51. Which is the closest to l? (a) -5 (b) 1/4 (c) 0.2 b Let j = -0.13 + -0.07. Let m = -15/38 + -2/19. Let h = -3 - -5. Which is the closest to 1? (a) j (b) m (c) h c Suppose 4*b + 4*r = 3*b - 22, -2*r - 10 = 0. Let n be (b/(-20))/(6/(-15)). Let s = -39 - -391/10. What is the closest to n in s, 1/6, 0? 0 Let o = 44.6 - 49. Let u = 4 + o. Let n = 0.7 + u. Which is the nearest to -0.2? (a) n (b) -0.5 (c) 1 b Let w = 9 + -9. Which is the closest to -1/24? (a) 0.5 (b) w (c) 1/3 b Let x = 0.7 + -0.7. Let v = x + 0.1. Which is the closest to 2? (a) 1 (b) -3/2 (c) v a Let y = -1.2 + -3.8. Let t = 24/11 + -26/11. What is the closest to 0.1 in t, y, -4? t Suppose -d - 2 + 0 = 0. What is the closest to d in 2, 5, -0.6? -0.6 Let s = 325/33 + -90/11. What is the nearest to 2/9 in s, 2/5, 5? 2/5 Let m be 20/(-72) + 2/12. Let l = -1469/2 + 3051/4. Let t = 29 - l. Which is the closest to 1/3? (a) t (b) m (c) -0.2 a Let l = 2.52 + -1.52. Let n = -1.9 + 2. Let g = n - -0.4. What is the closest to -0.1 in l, -3/2, g? g Let v = -1 + 0.9. Let o = 8.6 - 9. What is the nearest to v in 0, -0.1, o? -0.1 Let w = -0.19 - 4.81. What is the nearest to 1 in 0.4, -4, w? 0.4 Let d be (-1)/(0 + -1 - 0). Let z = -7 - -3. Which is the closest to 1/4? (a) z (b) d (c) 0.5 c Let t be 14/2 - (3 + -1). What is the closest to 1 in t, 4/3, 1/5? 4/3 Let b = -171 - -1195/7. What is the nearest to -1/7 in 0.4, b, 4? b Let l = -2 + 3. Let z = -83 - -83.5. Which is the nearest to -0.1? (a) z (b) 2/11 (c) l b Let a = -18.46 - -18.6. What is the nearest to 1 in 1, a, 0.5? 1 Let l = 8 + -5. Let f = l - 3.1. Let r be 6/(-4)*8/(-30). What is the nearest to f in -4, r, -1/3? -1/3 Let b(q) = 3*q + 1. Let v be b(1). Let c be (-5)/v + (-2)/(-8). Let i = -1.1 + 1. What is the nearest to c in i, -0.3, 2/23? -0.3 Let h = 1329 - 2571/2. Let w = -42 + h. Which is the closest to -2/5? (a) -1/4 (b) w (c) 2 a Let l be (-62)/20 - (1 - 2). Let y = -79/40 - l. Which is the closest to 0.1? (a) y (b) 1/10 (c) 0.4 b Let t = -13 - -14. Which is the nearest to 0.1? (a) -1 (b) t (c) 1/2 c Let x = 21 + -21.3. What is the closest to 0 in -4, x, -1/4? -1/4 Suppose -5*v - 95 = -390. Let p = 411/7 - v. Which is the closest to p? (a) -2/5 (b) -5 (c) 2/13 a Let t = -3 - -1. Let q = 1.6 + t. Let u = -1.4 - q. Which is the nearest to 0.2? (a) 4 (b) u (c) -0.2 c Suppose -2*y + 4*l = 3*y + 67, -y - 13 = -l. Let w be 0 + 0 + (-3)/y. Let z = 1 - 0. Which is the nearest to z? (a) w (b) 2/3 (c) 4 b Let o = -52 + 207/4. Let z = -1.124 - -0.124. Which is the nearest to 2/7? (a) z (b) o (c) 4/3 b Let f = -4 - -3.94. Let j = 2.06 + f. Which is the nearest to -1? (a) -2 (b) j (c) -0.3 c Let j(q) = -q + 8. Let y be j(6). Let p be -4*y/(-4) - 20. Let i be (-5)/3 - 12/p. Which is the closest to -1? (a) -3 (b) 0.2 (c) i c Let r = 51 + -52. Let c = 0.1 + -0.1. Let o = 0.4 - 0.3. What is the closest to o in c, -4, r? c Let y be (-1)/(-1)*(-3)/51. Let h = 39/85 + y. Let m = -1 + -2. Which is the closest to 0.1? (a) m (b) h (c) 0.5 b Let x = -75/4 + 19. Which is the closest to 0? (a) x (b) -4/7 (c) -4/9 a Let r = -0.302 - -0.102. What is the nearest to 1/3 in r, -0.4, -0.1? -0.1 Let y = -4.6 - -2.6. Let d be 3/(-4)*(-26)/39. What is the closest to d in 2, y, 0.3? 0.3 Let v be (-1 + 3)*(2 - 0). Suppose 3*t + 16 = 2*w, -v*w + 1 = 3*t - 13. Let s be 12/w - (2 + 0). Which is the closest to 2/7? (a) 0.1 (b) -3/2 (c) s c Let r = -8.7 + 9. Let q be (-2)/6 - 80/(-144). What is the closest to q in 5, -3, r? r Let i be (-8)/4*(-2)/4. Let h be (1 + (-1)/3)*-3. Let w = -2/423 - -32/141. What is the nearest to 0.1 in i, w, h? w Let y = 3 - 2. Let d = -2.04 - -0.04. Let w = d + 2. Which is the nearest to 1? (a) -3/7 (b) w (c) y c Let k(r) = -9*r**2 - 2*r**3 + r**3 + 2*r**3 + 8*r + 2. Let u be k(8). Suppose 4*j + 21 = -x, -j + 0*x = 3*x + 8. What is the nearest to 0.2 in 0.3, j, u? 0.3 Let g = 13 + -12.89. Let h = -0.09 - g. Which is the closest to 0.03? (a) 4 (b) -0.5 (c) h c Let v = -25/11 - -169/55. Let n be 95/45 - (-14)/(-7). What is the closest to -0.2 in n, -5, v? n Let i = 103/245 + -1/49. Let s = 22.9 + -23. Which is the nearest to s? (a) i (b) 5 (c) -1/4 c Let k = 0.22 - -18.78. Let f = -17 + k. Which is the nearest to -1? (a) 0.1 (b) f (c) -1/2 c Let s = -4 + 3. Let p = -5.4 - -3.4. What is the nearest to s in -0.3, -5, p? -0.3 Let s = 5 - 3. Let u be -1 - (5/4 + -2). Which is the closest to u? (a) -2/7 (b) s (c) -0.1 a Let b = -1 - -0.6. What is the nearest to -1 in 0.2, b, -0.5? -0.5 Let z be (-5)/(-2) - (-20)/(-10). Which is the nearest to 1/2? (a) 0.3 (b) z (c) 2 b Let p = 11 + -14. What is the closest to 3 in 0.5, 2, p? 2 Let l = 0.1 + 0. Let f = -14 + 5. Let x = f + 6. Which is the nearest to -3/7? (a) l (b) x (c) -0.2 c Let p = -32 + 35. What is the nearest to -4 in p, -1, 1? -1 Let m be 1/2 + (-40)/60. What is the closest to -0.2 in m, -3/4, -0.3? m Let s = -27 + 27. Let d = 2/35 + 19/35. What is the nearest to s in d, 0, 3? 0 Let s = 11 - 3. Let u = s - 10. Which is the closest to 3? (a) 0.3 (b) u (c) -5 a Let h be (9/(-15))/(18/12). Let p = 0.2 + -1.2. Which is the nearest to h? (a) -0.2 (b) 0.4 (c) p a Suppose -3*z + z = -6. Let m = -21/2 + 10. Let h be (-35)/50*4/(-7). Which is the nearest to m? (a) h (b) z (c) 5 a Let n be (-8)/(-54)*6/(-4). What is the closest to 0.1 in n, -2/7, 0.02? 0.02 Let w = -56/3 + 19. Let h = -0.38 - 0.02. Which is the closest to -1? (a) 1 (b) h (c) w b Suppose 0 = 2*n - 3*r - 15, -n - 4*r = -2*r + 3. Let s = -0.65 - -0.05. Let w = s + 0.1. What is the nearest to -3 in n, 2/9, w? w Let y be (-9)/60 - 2/(-5). Let s = 7/57 - 227/456. What is the nearest to 0.1 in s, y, -1/3? y Let h = 0.63 + -0.13. Which is the nearest to 0.1? (a) h (b) 0 (c) -2 b Let q = -7/5 - -16/15. What is the nearest to 0.1 in 9, 2, q? q Let s = -49 - -96. Let k = 14414 + -72307/5. Let r = s + k. Which is the nearest to -0.1? (a) 2/7 (b) 1/4 (c) r c Let y = 0.7 + -0.2. Let a = -64 + 322/5. Let g = -0.03 - 0.97. What is the nearest to g in y, a, -0.5? -0.5 Let l = 0.4 - 0.4. What is the nearest to l in 1/4, 0, -4? 0 Let q be ((-57)/38)/(1/2). Let g = -40/3 + 12. Which is the closest to -2/3? (a) -0.5 (b) q (c) g a Let o = 0 + -1. Let c = -1.4 - o. Let z = c + 0.5. What is the closest to -0.1 in 4, 1/4, z? z Let k = -15 + 46/3. Let u = 5 - 4. Let d = 0.1 - -0.3. Which is the closest to u? (a) d (b) 1 (c) k b Let h = -4.2 - -5.2. Which is the nearest to h? (a) -2/11 (b) 2 (c) 4/3 c Let y be (2 + 32/(-10))/((-33)/(-110)). What is the closest to y in -0.2, 0, -2? -2 Let p(f) = -f**3 + 14*f**2 - f + 11. Let c be p(14). Let v(u) = -u - 1. Let x be v(c). Let z = -0.1 - -0.1. What is the closest to 0 in z, 2/9, x? z Suppose 2*z - 6*z - 12 = 0. Let o be -1*((-1)/z - 0). Which is the closest to 3? (a) o (b) 0.3 (c) 1 c Suppose o - 6 = -o. Let p(h) = 37*h**2 - h. Let l be p(-1). Let j be (-2)/(-7) + l/(-35). Which is the closest to -1? (a) 2 (b) o (c) j c Let q = -19 + 18.88. Let k = -0.22 - q. Which is the nearest to k? (a) 3/2 (b) -2/5 (c) 0 c Let k = -395 - -1966/5. Which is the closest to 1/2? (a) -0.3 (b) -4 (c) k a Suppose -4*x = 5*q - 12, -2*x + 7 = 3*q - 1. Let v = -1.013 - -0.013. Which is the nearest to -0.1? (a) v (b) q (c) 2 a Let y = 83.9 + -90. Let p = -6 - y. What is the nearest to p in 3, 1/7, -2/5? 1/7 Let y be (1/(-4))/1*2. Which is the closest to y? (a) 5/4 (b) -0.1 (c) 4 b Let p = -8 - -12. Let g = -8 + 8.5. What is the closest to -1 in p, 1, g? g Let h be 1/(-3)*-3*6/39. What is the nearest to -0.2 in 2/5, h, -3? h Let h = -0.15 - 0.05. Let j = -29.3 + 29. Which is the nearest to h? (a) -0.5 (b) j (c) 0.5 b Let w be (-2)/3 - (-12)/45. Let m = -249 - -249.2. Which is the closest to 0? (a) -4/5 (b) m (c) w b Let t = 14.1 - 14.91. Let n = 1.8 + t. Let r = n - -0.01. Which is the nearest to -2/7? (a) r (b) -0.3 (c) -5 b Let k = -19 + 23. What is the nearest to -2 in k, -0.5, -2? -2 Let z = 2 - 1. Let b = 73/143 - 9/13. What is the closest to 2 in z, b, 0? z Let o = -
{ "pile_set_name": "DM Mathematics" }
(-4)/(-30). Suppose 2*d + 3 = 7. Let a(s) = 3*s + f - d - s. Calculate u(a(k)). 8*k Let j be ((-6)/(-4))/(12/32). Let b(x) = 3*x**2 - 3*x + 2. Let w be b(1). Let y(m) = -w*m**2 + 4*m - j*m. Let r(h) = -h. What is y(r(g))? -2*g**2 Let x(t) = 1. Let a(y) = -y - 5. Let k(l) = a(l) + 5*x(l). Let m(q) = -q**2 + 5*q - 2. Let g be m(3). Let o(d) = 3 - 3 + g*d. Determine o(k(p)). -4*p Let c(p) = 8*p**2. Let g(v) = 8*v**2. Give g(c(z)). 512*z**4 Let v(x) = 77 - 77 - 7*x. Let u(l) = 2*l**2. Give u(v(s)). 98*s**2 Let i(f) be the third derivative of -1/60*f**5 + 0*f**3 + 0*f**4 - 2*f**2 + 0 + 0*f. Let t(s) = -2*s + 7*s - 2*s. Determine i(t(p)). -9*p**2 Let j(a) = 4*a. Let t(b) = -11*b**2 - 2*b. Calculate j(t(z)). -44*z**2 - 8*z Let u(d) = -d. Let n(j) = -8*j**2 - 491*j. Calculate u(n(z)). 8*z**2 + 491*z Let o(j) = 2*j**2 - j**2 + j**2. Let m(t) be the second derivative of t**4/12 - 11*t. What is o(m(z))? 2*z**4 Let b(f) = -f. Suppose 0 = 2*r + 2*r - 8. Let h(w) = -8*w**2 + 2*w**r + 4*w**2. Calculate b(h(y)). 2*y**2 Let g(f) = -6*f**2. Let d(n) be the second derivative of n**4/4 - 2*n. What is d(g(i))? 108*i**4 Let n(y) be the first derivative of -y**3/3 - 11. Let o(u) = -u**2. Let x(b) = -5*b**2. Let i(l) = 4*o(l) - 2*x(l). Determine n(i(v)). -36*v**4 Let g(j) = 115*j + 2. Let d(c) = 2*c. Give d(g(r)). 230*r + 4 Let z(b) = -47*b**2 + 46*b**2 + 17*b - 17*b. Let q(t) = 12*t. What is q(z(i))? -12*i**2 Let f(p) = -5*p**2 + 4*p. Let x(t) = 5*t. Let h be x(1). Let j(g) = 6*g**2 - 5*g. Let k(r) = h*f(r) + 4*j(r). Let b(o) = 2*o**2. Calculate b(k(q)). 2*q**4 Let x(d) = 4*d + 10. Let p(v) = -v - 2. Let k(f) = 5*p(f) + x(f). Let u(q) be the second derivative of -3*q**4/4 - q. Give k(u(s)). 9*s**2 Let o(q) = -5*q - 3. Let n(j) = j + 1. Let l(b) = -3*n(b) - o(b). Let p(t) = -5*t. Give l(p(r)). -10*r Let w(a) = -2*a. Let b(u) be the first derivative of 2*u**3 + 15. What is w(b(n))? -12*n**2 Let u(g) be the third derivative of 0*g**4 - 1/60*g**5 + 0 + 0*g - 2*g**2 + 0*g**3. Let j(x) = -6*x. What is j(u(y))? 6*y**2 Let a(g) be the third derivative of g**4/12 - 2*g**2. Let q be 2/7 + (-114)/(-42). Let w(f) = -3*f - 2*f + q*f. Calculate w(a(d)). -4*d Let y = 10 - 7. Let p(f) = 0*f**2 - 4*f**2 + y*f**2. Let v(t) = -2*t**2. Determine v(p(d)). -2*d**4 Let o(m) = -30*m. Let c(w) = -44*w**2. Calculate c(o(i)). -39600*i**2 Let n(b) = 18*b. Let a(j) = 0*j - 202 + 2*j + 202. Calculate n(a(h)). 36*h Let v(s) = s**2. Let p(d) = -608*d. Let m(i) = -27*i. Let b(q) = -112*m(q) + 5*p(q). Determine v(b(j)). 256*j**2 Let l(j) = -6*j. Let b(u) be the first derivative of u**4/4 - 4*u**3/3 - 2*u**2 - 5*u + 1. Let x be b(5). Let k(t) = t - 1 + 1 + x. Calculate l(k(g)). -6*g Let z(l) be the third derivative of l**5/60 - 4*l**2. Let d(y) = 36*y. Determine d(z(n)). 36*n**2 Let q(b) = -b**2 + 5*b + 2. Let n be q(5). Let u(l) = -l**2 - 3*l**n + 3*l**2. Let p(t) = 4*t**2. Calculate u(p(k)). -16*k**4 Let m(z) = -2*z. Let p(x) be the second derivative of x**3/3 + x. Calculate m(p(r)). -4*r Let n(b) = -5*b + 3. Let x(s) = -14*s + 8. Let v(i) = 8*n(i) - 3*x(i). Let m(p) = -2*p**2. Determine v(m(z)). -4*z**2 Let m(c) = 8*c. Let a(j) = 2*j**2 + 3*j + 3. Let z(k) = -2*k**2 - 4*k - 4. Let v(g) = -4*a(g) - 3*z(g). Determine v(m(b)). -128*b**2 Let u(h) = 217*h. Let i(q) = -q**2. Determine i(u(n)). -47089*n**2 Let c(o) = 3*o. Let j(k) = 0*k**2 - 9 + 9 + k**2. Give c(j(w)). 3*w**2 Let j(v) = 20*v**2. Let m(b) = -7*b**2. Let y(p) = 5*j(p) + 14*m(p). Let i(x) = 42*x**2. Determine i(y(k)). 168*k**4 Let b(c) = -26*c. Let a(s) = -5*s. Give b(a(i)). 130*i Let q be (6 - 1)*(-3)/(-5). Let u(v) = -3 - 4*v**2 + 0 + q. Let g(r) = 2*r**2. Calculate u(g(c)). -16*c**4 Let s(y) = y**2. Let r(q) = -60*q**2 + 2. What is s(r(d))? 3600*d**4 - 240*d**2 + 4 Let z(q) = 3*q + 5. Let o(g) = 16*g + 28. Let s(m) = 5*o(m) - 28*z(m). Let t(w) be the second derivative of w**4/6 - w. What is s(t(u))? -8*u**2 Let n(p) = -14*p. Let q(g) = -28*g. Give q(n(l)). 392*l Let z(c) = -157*c. Let g(p) = -19*p**2. Give z(g(i)). 2983*i**2 Let v(a) be the third derivative of a**5/20 - a**2. Let w(f) = -2*f. Determine w(v(o)). -6*o**2 Let s(o) = -2*o**2. Let x(f) be the first derivative of -4*f**2 + 9. What is s(x(y))? -128*y**2 Let m(r) = -2*r. Let p(j) = -j**2 + j**2 + 7*j**2 + 6*j**2. Calculate p(m(l)). 52*l**2 Let a(y) = y**2. Let m(u) be the first derivative of -8*u**2 + 16. What is a(m(c))? 256*c**2 Let m(f) = -9*f. Let c(l) = 8*l + 1. Calculate c(m(y)). -72*y + 1 Let x(c) = -4*c**2. Let r(a) be the first derivative of -3*a**2/2 + 17. Give x(r(g)). -36*g**2 Let i(p) be the second derivative of 5*p**3/6 + 11*p. Let m(k) = -4*k**2. Give i(m(a)). -20*a**2 Let x(c) = c. Let f be -1 - (-7 + 2 - -2). Let p(w) be the first derivative of 2 - 1/2*w**f + 0*w. What is p(x(y))? -y Suppose 0 = 12*c - 17*c. Let x(d) be the third derivative of 0 + c*d + 0*d**3 - 1/30*d**5 - 2*d**2 + 0*d**4. Let k(u) = -u**2. Give k(x(b)). -4*b**4 Let h(x) = 2*x**2 - 39*x. Let l(k) = -k. Calculate l(h(b)). -2*b**2 + 39*b Let b(q) be the third derivative of q**4/8 - 13*q**2. Let u(s) = -2*s. What is b(u(r))? -6*r Suppose -4*j + 0*j + p = -20, -j - 4 = 2*p. Let w(o) = -j + 0 + 4 + o. Let b(k) = 2*k**2. What is b(w(y))? 2*y**2 Let r(f) = 2*f**2. Let y(m) = -1094*m. What is y(r(l))? -2188*l**2 Let u(r) = r**2 - 3*r. Suppose -2*s - 6 = -s. Let n(x) = -6*x**2 + 17*x. Let o(k) = s*n(k) - 34*u(k). Let h(j) = -j**2. Calculate h(o(v)). -4*v**4 Let d = -9 - -15. Let r(v) = d*v + 5*v - 5*v. Let m(p) = -p**2. Calculate r(m(t)). -6*t**2 Let c(x) = x**2. Let t(q) be the second derivative of 0 - 1/2*q**2 + 0*q**3 + 3*q + 1/6*q**4. Let v(j) be the first derivative of t(j). Calculate v(c(r)). 4*r**2 Let k(j) = 0*j - 3*j + 2*j. Let i(r) be the first derivative of -r**5/30 - 2*r**2 + 2. Let u(o) be the second derivative of i(o). Calculate k(u(f)). 2*f**2 Let k(l) = -242*l**2. Let f(r) = -9*r**2. What is f(k(z))? -527076*z**4 Let u(x) = -3*x**2. Let p(m) = -990*m**2. Give u(p(n)). -2940300*n**4 Let g(q) = 3*q**2. Let l(w) be the first derivative of 4*w**3/3 + 9*w + 2. Let b(z) = -z**2 - 2. Let m(d) = -9*b(d) - 2*l(d). Calculate m(g(n)). 9*n**4 Let b(t) = 18*t. Let r(f) = 15*f**2. Determine r(b(d)). 4860*d**2 Let p(v) = 26*v + 2. Let u(w) = 2*w. Determine p(u(z)). 52*z + 2 Let w(s) be the third derivative of -s**5/60 + 10*s**2. Let b(g) = -8*g. What is w(b(t))? -64*t**2 Let s(f) = -8*f**2 - 6*f + 6. Let x(m) = -m**2 - m + 1. Let a(l) = -s(l) + 6*x(l). Let t(r) = -6*r. What is t(a(y))? -12*y**2 Let f(y) = -4*y. Let d = -2 - -6. Let z(q) = 0*q + d*q - 3*q. Determine f(z(o)). -4*o Let t(s) = -5*s. Let u(o) be the first derivative of o**5/60 - 5*o**2 + 9. Let i(n) be the second derivative of u(n). Determine i(t(h)). 25*h**2 Let x = 6 + -2. Let r(b) = -b**2 - 3*b. Let g(v) = v**2 + 4*v. Let h(a) = x*r(a) + 3*g(a). Let w(n) = -2*n. Determine h(w(o)). -4*o**2 Let s(o) = -27*o. Let t(y) = y. Determine t(s(m)). -27*m Let l(b) = -3*b. Let t(g) = 5*g + 0 - 2 + 0 - 5. Let v(w) = 4*w - 6. Let n(r) = 6*t(r) - 7*v(r). What is n(l(p))? -6*p Let x(s) be the second derivative of -s**5/60 - 3*s**2 - 6*s. Let f(v) be the first derivative of x(v). Let m(u) = 7*u. Give f(m(t)). -49*t**2 Let z(g) = -37*g**2. Let u(h) = 11*h**2. What is z(u(k))? -4477*k**4 Let f(y) = y. Let d(m) = -7*m**2. Give d(f(r)). -7*r**2 Suppose -8 + 2 = 2*o + 2*c, -3*c = 15. Suppose 0 = k - 5*k. Let p(j) = 0 + k + o*j**2. Let z(b) = 2*b. Calculate z(p(g)). 4*g**2 Let i(z) = -6*z**2. Let y(b) = -7*b**2 - 11*b. Give y(i(l)). -252*l**4 + 66*l**2 Let l(p) = -p - 1. Let z(b) = 5*b + 6. Let c(n) = -6*l(n) - z(n). Let q(t) = 23*t. Determine q(c(v)). 23*v Let o(b) = b**2 + 15*b - 3. Let d be o(-15). Let p(f) = 3*f**2. Let q(g) = -4*g**2. Let w(s) = d*p(s) - 4*q(s). Let x(c) = 2*c**2. Give x(w(u)). 98*u**4 Let p(x) = 5*x. Let m = 57 + -60. Let s(o) = -4*o - 1. Let q(b) = 1. Let u(l) = 3*q(l) + s(l). Let v(t) = 5*t - 3. Let r(w) = m*u(w) - 2*v(w). Give r(p(j)). 10*j Let c(n) = 2*n**2. Suppose -2*l + 3*l - 3 = 0. Let p(z) be the second derivative of 0*z**2 + 0 - 2/3*z**l - z. What is c(p(s))? 32*s**2 Let i(y) = y**2 - 9*y + 9. Let l be (-182)/(-10) - 9/45. Let h(x) = x - 1. Let m(a) = l*h(a) + 2*i(a). Let s(k) = 2*k. What is m(s(c))? 8*c**2 Let f(b) = 35*
{ "pile_set_name": "DM Mathematics" }
- i wrt i? 2 Find the second derivative of -5*f + 2 + 3*f + 90*f**4 + 65 wrt f. 1080*f**2 Let k = -8 - -51. Let w = k + -26. Differentiate 0*x**3 - 13 + w + 2*x**3 wrt x. 6*x**2 Let n(s) be the third derivative of -s**6/45 + 2*s**5/15 - s**4/4 + 5*s**2. Let l(t) be the second derivative of n(t). What is the derivative of l(u) wrt u? -16 Let q(s) = -328*s**2 - 521*s + 5. Let i(v) = -2*v**2 - 1. Let f(p) = 5*i(p) + q(p). Find the second derivative of f(h) wrt h. -676 Let f = 95 - 86. What is the derivative of 12 - q**4 - f - 26*q**4 - 41 wrt q? -108*q**3 Let d(c) be the third derivative of -c**7/105 + 41*c**6/120 - 19*c**5/60 + 47*c**2. What is the third derivative of d(q) wrt q? -48*q + 246 Let t(m) be the third derivative of -57*m**5/20 - 31*m**4/24 - m**3 - 7*m**2 - 7*m. Find the second derivative of t(a) wrt a. -342 Find the first derivative of 1034 - 384*q**3 + 969 - 1920 + 51*q**3 wrt q. -999*q**2 Suppose -24 = -5*c + c. Suppose c*z = i + z - 31, -19 = -i + z. What is the second derivative of -o - 2*o + i*o - 6*o**3 wrt o? -36*o Suppose -2*h + 12 + 4 = 0. What is the second derivative of -9*a + 6*a + 7*a - h*a**2 wrt a? -16 Suppose -2*z + 2 = -y, -z = -5*y + 3*z + 2. Find the second derivative of -90*s**y - 10*s + 56*s**2 - 6*s wrt s. -68 Suppose 0 = -27*g + 22*g. Let y(m) be the second derivative of -5*m + 0*m**2 + 1/10*m**5 + 0 + g*m**3 - 1/12*m**4. Find the third derivative of y(l) wrt l. 12 Let p(k) = 3*k + 4. Let o be p(0). Let y(d) = d**2 + 3*d + 2. Let r be y(-4). What is the first derivative of -2*h**2 - 3 - o + r*h**2 + 2 wrt h? 8*h Let x(z) be the third derivative of 95*z**9/252 + z**5/30 - 103*z**3/2 + 10*z**2 + 3*z. What is the third derivative of x(q) wrt q? 22800*q**3 What is the first derivative of -133 + 50*q**3 - 23 + 87*q**3 wrt q? 411*q**2 Let r(y) = 823*y**2 - 2*y - 68. Let p(b) = -1237*b**2 + 3*b + 102. Let a(n) = 5*p(n) + 8*r(n). What is the second derivative of a(f) wrt f? 798 What is the third derivative of -s**2 - 1 + 222*s**4 - 839*s**3 + 839*s**3 wrt s? 5328*s Let c(z) be the second derivative of -9*z**8/56 + z**7/21 - 3*z**4/4 - 3*z**2 - 155*z. What is the third derivative of c(p) wrt p? -1080*p**3 + 120*p**2 Let u(i) be the third derivative of 11*i**6/5 - 16*i**5/15 - i**3/6 - 31*i**2 - 12*i. What is the third derivative of u(w) wrt w? 1584 Let w be (-2 - 0) + 309/3. Let l(d) = -d**3 - 4*d**2 + 6*d + 9. Let o be l(-5). What is the first derivative of w*n - 6 - n**o - 101*n wrt n? -4*n**3 Let k = -71 - -145. What is the first derivative of 39*g + 22*g**2 + 35*g - k*g + 20 wrt g? 44*g Let a(l) be the second derivative of 0*l**4 + 0*l**3 + 0*l**5 + 17/30*l**6 + 0 + 5*l**2 - 5*l. Differentiate a(v) with respect to v. 68*v**3 Suppose 7*x = 2*x + 3*c + 240, 2*c = -5*x + 240. Differentiate -13 - 52*o - x*o + 5*o**2 + 100*o with respect to o. 10*o Let i(m) be the second derivative of 3*m**5/20 + m**4/3 - 97*m**3/6 + 21*m. What is the second derivative of i(y) wrt y? 18*y + 8 Let m(f) = 2*f**2 + 268*f + 26. Let a(s) = -s**2 - 134*s - 13. Let r(g) = -7*a(g) - 3*m(g). Find the first derivative of r(w) wrt w. 2*w + 134 Let o(z) be the third derivative of z**6/15 + 10*z**4/3 + 72*z**2 + 1. What is the second derivative of o(t) wrt t? 48*t Let h(m) = m**2 + m - 4. Let q be h(-5). Suppose y = -0*y + 2, -3*y + q = z. Find the second derivative of 3*v**4 - 2*v + 0*v**4 + z*v wrt v. 36*v**2 Let w(m) = -m**4 - 16*m**3 - 206*m**2 - 6*m + 6. Let f(r) = -2*r**2 - r + 1. Let x(u) = -6*f(u) + w(u). What is the third derivative of x(y) wrt y? -24*y - 96 Let y(s) = 53*s**2 + 3*s + 62. Let u(v) = -v - 1. Let q(j) = 3*u(j) + y(j). What is the first derivative of q(f) wrt f? 106*f Let h(i) be the first derivative of -37/5*i**5 + 22*i**2 + 0*i - 43 + 0*i**3 + 0*i**4. What is the second derivative of h(b) wrt b? -444*b**2 Let t(v) be the third derivative of 1/4*v**4 - 1/56*v**8 + 0*v**5 - 36*v**2 + 0*v**7 + 0 + 0*v**3 + 0*v**6 + 0*v. Find the second derivative of t(l) wrt l. -120*l**3 What is the second derivative of 222*b**2 + 0*b - 12466 - b + 12458 + 133*b**2 wrt b? 710 Suppose -5*j = -2*m + 4, -7 = -2*m - 3*j + 13. Find the first derivative of -21 + 4 + m - 28*s**4 wrt s. -112*s**3 Suppose -4*g + 6 - 18 = 0, q = -g. Let u(h) be the second derivative of -3/20*h**5 + 2*h + 0*h**q - 5/2*h**2 + 0 + 0*h**4. What is the derivative of u(k) wrt k? -9*k**2 Let i = -18 + 20. What is the third derivative of -10*y**3 - 11*y**2 - 9*y**i + 12*y**2 wrt y? -60 Let b(j) be the third derivative of j**10/252 - j**6/36 - j**3 - 27*j**2. Let k(d) be the first derivative of b(d). What is the third derivative of k(n) wrt n? 2400*n**3 Find the third derivative of -984*w**3 + 188*w**2 - 266*w**2 - 484*w**2 + 1374*w**3 wrt w. 2340 Let u(z) be the second derivative of -7/12*z**4 + 0 + 8*z + 0*z**2 + 1/2*z**3. What is the second derivative of u(m) wrt m? -14 Let p(j) be the second derivative of j**6/40 - j**4/2 - j**3/2 + 11*j. Let i(t) be the second derivative of p(t). Differentiate i(a) wrt a. 18*a Suppose 2*p - 4*p + 4 = 0, 5*p - 17 = -c. What is the derivative of -646*a - 41*a**2 + 646*a + c wrt a? -82*a Let p(j) be the first derivative of -3*j**7/35 - j**5/20 + 4*j**2 - 11. Let v(y) be the second derivative of p(y). Find the third derivative of v(w) wrt w. -432*w Let p be 2/6 + 25/(-3). Let k(u) = -u**3 - 9*u**2 - 9*u - 5. Let o be k(p). Find the first derivative of 7*x**3 - 3*x**3 - 2*x**3 - 1 + 3*x**o wrt x. 15*x**2 Let u(s) be the first derivative of s**9/1512 - 7*s**6/360 - 5*s**3/3 - 4. Let z(p) be the third derivative of u(p). Find the third derivative of z(k) wrt k. 120*k**2 Let t(h) be the second derivative of -26*h - 4/3*h**3 + 0*h**2 + 1/2*h**4 + 0. Find the second derivative of t(y) wrt y. 12 Let u(c) = -113*c**3 - 5*c**2 - 24*c + 11. Let t(s) = s**3 - s**2 + 2. Let y(v) = -5*t(v) + u(v). Find the second derivative of y(d) wrt d. -708*d Let q = 0 - 2. Let a be 8/4 + 0/q. Differentiate l - a*l + 3 - 6 with respect to l. -1 Suppose 2*z - 3*l + 16 = 4*z, -z + 10 = 2*l. Let w(b) be the first derivative of -1/3*b**3 + z*b + 0*b**2 + 6. Differentiate w(q) with respect to q. -2*q Let k(r) = -1. Let w(q) = q + 1. Let o(z) = -5*k(z) - 6*w(z). Let x be o(-5). Find the second derivative of -x - 5*c + 29 + 5*c**3 wrt c. 30*c Let j(u) be the first derivative of 17/4*u**4 + 2*u**2 + 0*u**3 + 16 + 0*u. What is the second derivative of j(l) wrt l? 102*l Find the second derivative of -20*o**2 + 15*o**2 - 94*o - 82*o**2 wrt o. -174 Let h = -8 - -10. Let j be h*(1 + 6/4). What is the third derivative of -2*b**2 + 2*b**j - 4*b**2 + 0*b**2 - b**5 wrt b? 60*b**2 Let g(y) be the third derivative of 0*y**6 + 1/10*y**7 + 0*y**3 - 5/6*y**4 + 0*y + 18*y**2 + 0 + 0*y**5. What is the second derivative of g(t) wrt t? 252*t**2 Differentiate -29*t**2 - 40 - 2*t + 12*t**2 + 16*t**2 with respect to t. -2*t - 2 Suppose 5*g - 5 = 0, 0 = -q + 3*g - 6 + 85. What is the second derivative of -3*d - q*d**2 + 82*d**2 - 7*d**4 - d wrt d? -84*d**2 Find the second derivative of 0 + 12*i**2 + 15*i**3 + 4 + 18*i - 6 wrt i. 90*i + 24 Let v(z) be the second derivative of 0*z**5 + 0 + 0*z**4 + 13/30*z**6 + 16/3*z**3 + 0*z**2 + 32*z. Find the second derivative of v(a) wrt a. 156*a**2 What is the second derivative of -82*f**4 - 230*f - 1 - 304*f + 581*f wrt f? -984*f**2 Let v(m) be the second derivative of 1/2*m**4 + 0*m**5 + 0*m**7 + m + 0*m**2 + 0 + 0*m**3 - 3/14*m**8 + 0*m**6. What is the third derivative of v(l) wrt l? -1440*l**3 Let x(p) = -270*p - 140. Let a(s) = 269*s + 141. Let b(u) = 7*a(u) + 6*x(u). Find the first derivative of b(g) wrt g. 263 Let n(g) = -9*g**3 - 99*g**2 - 2*g + 114. Let j(w) = 3*w**3 + 33*w**2 + w - 38. Let v(i) = 11*j(i) + 4*n(i). What is the second derivative of v(f) wrt f? -18*f - 66 Let r = 59 - 56. Find the second derivative of -2*w + 7*w**5 + 3260*w**r - 3260*w**3 wrt w. 140*w**3 Let z(h) be the first derivative of 1/4*h**4 + 2*h**2 - 9*h + 6*h**3 + 8. Find the second derivative of z(t) wrt t. 6*t + 36 What is the second derivative of -2*c**2 + 12*c - 30*c + 60*c**2 - c**4 wrt c? -12*c**2 + 116 Let c(h) = 103*h**5 + 3*h**3 + 116*h**2. Let k(m) = -102*m**5 - 4*m**3 - 116*m**2. Let z(i) = -4*c(i) - 3*k(i). Find the third derivative of z(a) wrt a. -6360*a**2 Let
{ "pile_set_name": "DM Mathematics" }
+ 9/2*d**2 = 0. Calculate d. -5, -2, -1, 0 Factor 240*c**2 - 8 + 16*c + 24 - 252*c**2. -4*(c - 2)*(3*c + 2) Let x(r) be the second derivative of 0 + 1/4*r**3 + 1/24*r**4 + 1/2*r**2 - 4*r. Solve x(t) = 0. -2, -1 Let 13/3*f**2 - 29/3*f**4 + 16/3 + 14*f - 13*f**3 - f**5 = 0. What is f? -8, -1, -2/3, 1 Let u(z) = -63*z + 8508. Let r be u(135). Let -48/5*f**r - 27/5*f**5 + 15*f + 18*f**2 - 18*f**4 + 0 = 0. What is f? -5/3, -1, 0, 1 Suppose -x - 2*k - 3 = 3, -3*x + 18 = -3*k. Determine p, given that 17 - 64*p**x + 186*p - 9 - 108 + 4*p + 6*p**3 = 0. 2/3, 5 Let r(w) be the second derivative of -20*w**2 - 39*w + 1/4*w**5 - 10/3*w**3 + 5/6*w**4 + 0. Solve r(c) = 0 for c. -2, 2 Suppose 55 + 67 = 2*i. Suppose -i*t + 49*t = -24. What is g in -21/4*g**4 - 27/4*g**5 + 33/4*g**3 - 3/2*g + 21/4*g**t + 0 = 0? -1, 0, 2/9, 1 Let z(n) = -14*n + 5. Let j be z(-1). Factor -j - 1 - 6*u**2 + u**2 - 5 + 30*u. -5*(u - 5)*(u - 1) Let k = -1/35 - -11/35. Factor -6/7*u**3 - k*u - 10/7*u**2 + 2/7. -2*(u + 1)**2*(3*u - 1)/7 Let l be 13*-1 - (-5 + 12/3). Let d = 15 + l. Factor 0 + 2/5*n**d + 4/5*n**2 + 0*n - 6/5*n**4. -2*n**2*(n - 1)*(3*n + 2)/5 Suppose 3*t = -4*l + 6, -4*l = -5*t + 37 + 5. Let d(n) be the first derivative of 1/5*n + 1/15*n**3 - t + 1/5*n**2. Find m, given that d(m) = 0. -1 Let v = -2/23737 - -23749/142422. Factor 7/6*s + 1/3 + v*s**4 + 3/2*s**2 + 5/6*s**3. (s + 1)**3*(s + 2)/6 Suppose -a = n - 18, 5*n + 78 = 4*a + 3*n. Let k = a - 17. Factor -2*j**k - 1 + 4 - j**2. -3*(j - 1)*(j + 1) Let u(z) be the first derivative of 12 - z + 1/18*z**4 + 2/3*z**2 + 1/3*z**3. Let k(i) be the first derivative of u(i). Find o such that k(o) = 0. -2, -1 Let z = -3345 - -387989/116. Let w = -1/58 - z. Determine q, given that -1/4*q**3 + 0 - w*q**5 - 1/2*q**4 + 0*q + 0*q**2 = 0. -1, 0 Suppose 12 = 4*n - 0*n. Let y(g) = -g**3 - 26*g**2 + 58*g + 75. Let d be y(-28). Factor -d*j**2 + 0*j**3 - 20*j**n + 0*j**3 - j**2 - 5*j**4. -5*j**2*(j + 2)**2 Let l(y) = 0*y**2 - 10*y + y**2 + 2 + y**3 - 10*y**2. Let r be l(10). Factor 1/5*f**r - 8/5*f + 16/5. (f - 4)**2/5 Let w(s) be the third derivative of s**7/315 - 13*s**6/90 + 193*s**5/90 - 26*s**4/3 + 16*s**3 - 7*s**2 + 2*s. Suppose w(q) = 0. What is q? 1, 12 What is p in 9*p**3 - 934*p - 2*p**5 + p**3 + 926*p = 0? -2, -1, 0, 1, 2 Suppose 0 = 3*w + 2*k - 8, -3*w - k + 18 = 2*w. Suppose -2*i**5 + 9*i**4 + 2*i**2 - 35*i**w + 5*i**3 + 13*i**3 - 4*i + 12*i**5 = 0. Calculate i. -2/5, 0, 1 Let f(v) be the third derivative of v**7/490 - v**6/24 - 31*v**5/140 - 23*v**4/56 - v**3/3 + 5*v**2 + 5. Find y such that f(y) = 0. -1, -1/3, 14 Let a(j) be the second derivative of j**4/36 - 22*j**3/9 + 242*j**2/3 + 50*j. Factor a(q). (q - 22)**2/3 Let x(i) be the third derivative of -i**8/84 + 4*i**7/15 - 5*i**6/6 + 4*i**5/5 - 107*i**2 - 3*i. Factor x(s). -4*s**2*(s - 12)*(s - 1)**2 Let g be 4 + (-8)/(-12) + -4. Let z = -10 - -13. Factor 1/3 + 1/3*w**4 - g*w**2 + 0*w**z + 0*w. (w - 1)**2*(w + 1)**2/3 Let l(h) be the first derivative of 2*h**2 + 31 - 2/5*h**5 + 8/3*h**3 + 0*h + 3/4*h**4 - 1/6*h**6. Factor l(k). -k*(k - 2)*(k + 1)**2*(k + 2) Let p(u) be the first derivative of u**5/10 + u**4/8 - 5*u**3/2 - 9*u**2/4 + 27*u - 36. Suppose p(t) = 0. What is t? -3, 2, 3 Let f(g) be the first derivative of 5*g**3/3 - 25*g**2 + 125*g + 3. Suppose f(k) = 0. What is k? 5 Factor -13 - 77*y - y + 188 - 55*y - 5*y**2 - 37*y. -5*(y - 1)*(y + 35) Let o be (-1020)/(-1610) - 12/42. What is c in o*c**2 + 2/23 + 10/23*c = 0? -1, -1/4 Suppose -2*g - 16 = -3*s, -s = g + 2*g + 13. Determine t so that -33*t + 18*t - 2*t**s - 18 - t**2 = 0. -3, -2 Find q, given that -5*q + 20*q**2 + 6 + 22*q**2 - 43*q**2 = 0. -6, 1 Let a = -2/75 - -52/75. Let w be (-10)/(-4) - (-9)/(-18). Factor -a*s**w - 2/3*s + 0. -2*s*(s + 1)/3 Let c(d) = d**5 + d**4 - d**2. Let r(g) = -4*g**5 - g**4 - 2*g**3 - 7*g**2 + 9*g. Let f(t) = 5*c(t) + r(t). Determine i, given that f(i) = 0. -3, 0, 1 Let o(v) be the third derivative of -v**6/96 - 5*v**5/4 + 205*v**4/32 - 155*v**3/12 - 546*v**2. Find t such that o(t) = 0. -62, 1 Let m = -114 + -24. Let i = -136 - m. Factor i*j + 4/5 + 2/5*j**3 + 8/5*j**2. 2*(j + 1)**2*(j + 2)/5 Let w(t) be the second derivative of t**5/5 + 481*t**4/6 + 9680*t**3 + 14400*t**2 + 4*t - 127. Solve w(p) = 0 for p. -120, -1/2 Let r = 33 - 31. Factor 7*t**3 - 4*t**3 + 15*t + 20*t**2 + r*t**3. 5*t*(t + 1)*(t + 3) Factor -4*r**2 + r**4 - 4*r + 0*r**3 + 1/4*r**5 + 0. r*(r - 2)*(r + 2)**3/4 Let k be (3 + 3)*2*2. Let s be (-1)/(-4) + 858/k. Factor 8*m**2 + 25*m**4 - 15 + 15 - s*m**3 - 9*m**4. 4*m**2*(m - 2)*(4*m - 1) Suppose 35*t - 46*t = -22. Let z(c) be the first derivative of 1/9*c**6 + 3*c**t - 4/3*c - 32/9*c**3 - 6 - 4/5*c**5 + 7/3*c**4. Factor z(p). 2*(p - 2)*(p - 1)**4/3 Let v(p) be the second derivative of 3*p + 0 - 2*p**2 + 71/4*p**5 + 27/14*p**7 - 67/4*p**4 + 8*p**3 - 93/10*p**6. Suppose v(y) = 0. Calculate y. 2/9, 1 Let q(u) = -u**3 + 30*u**2 + 88*u - 764. Let o be q(32). Suppose 0*l + 0 + 0*l**2 + 2/3*l**3 + 8/9*l**o = 0. Calculate l. -3/4, 0 Let y = -42197 - -42199. Solve -2/7*z**5 + 0*z**y + 0*z + 2/7*z**4 + 0 + 4/7*z**3 = 0. -1, 0, 2 Let m = 1/57371 - -8376163/172113. Factor m*n**3 + 0 + 96*n - 304*n**2 - 2*n**4. -2*n*(n - 12)**2*(3*n - 1)/3 Suppose -2*n + j = -1, -2*n = -22*j + 27*j + 5. What is r in -2/3*r**3 + 4/9*r**4 + n - 8/9*r**2 + 2/9*r**5 + 8/9*r = 0? -2, 0, 1 Factor 165/2*l + 0 + 213/2*l**2 + 51/2*l**3 + 3/2*l**4. 3*l*(l + 1)*(l + 5)*(l + 11)/2 Let z = -661 + 661. Factor 0 + z*a**3 - 1/4*a**4 + 0*a + 1/4*a**2. -a**2*(a - 1)*(a + 1)/4 Let o = -737 + 739. Let -16/7*a + 16/7 + 4/7*a**o = 0. What is a? 2 Let v(b) be the second derivative of b**7/42 - b**6/5 + 13*b**5/20 - b**4 + 2*b**3/3 - 11*b. Determine l so that v(l) = 0. 0, 1, 2 Let l(g) be the second derivative of -g**5/60 - g**4/6 - g**2/2 + 16*g. Let o(r) be the first derivative of l(r). Factor o(m). -m*(m + 4) Let v(s) be the third derivative of -s**8/672 + s**7/210 + s**6/30 + s**5/60 - 7*s**4/48 - s**3/3 + 2*s**2 + 27*s. Let v(i) = 0. What is i? -1, 1, 4 Let i(m) be the second derivative of 19*m**4/18 + 97*m**3/9 + 10*m**2/3 - 437*m. Factor i(l). 2*(l + 5)*(19*l + 2)/3 Let g be ((-6)/(-4))/((-189)/48 + 4). Let k be (135/g)/((-3)/(-4)). Let -6*i**4 - k*i**2 + 12*i**3 + 3/2*i + 0 = 0. Calculate i. 0, 1/2, 1 Let i(z) be the third derivative of z**7/105 - z**6/20 - 4*z**5/5 + 20*z**4/3 - 155*z**2. Determine j, given that i(j) = 0. -5, 0, 4 Suppose -3*r + 45 = -5*p + 12, 4*r - 12 = -4*p. Let t be (r/(-5))/(9/(-30)). Factor 3*l**2 - l**2 + 3*l**4 - t*l**2 - 4*l**2 + 3*l**3. 3*l**2*(l - 1)*(l + 2) Suppose -4*q = p - 11, 0*q - 7 = p - 5*q. Find b, given that 0*b**2 - 3*b - 2*b + p*b**2 - 3 + 3*b**3 + 2*b = 0. -1, 1 Factor -2/13*w**2 - 88/13 + 90/13*w. -2*(w - 44)*(w - 1)/13 Find o such that 1 + 12*o**2 - 1 - 6*o - 2*o**5 - 10*o**2 + 8*o**3 + 4 - 6*o**2 = 0. -2, -1, 1 Let m(h) = 2*h**2 + 8*h - 6. Let x be m(-5). Suppose 2*p = -n + 2*n + 8, -x*p + 6 = 3*n. Factor 2*i - 2*i**2 + 2/3*i**p - 2/3. 2*(i - 1)**3/3 Suppose -4*r + 14 = 3*r. Factor 40 - 36*n - 6*n**r + 11*n**2 - 32 + 11*n**2. 4*(n - 2)*(4*n - 1) Let i(p) be the third derivative of 7/3*p**4 - 1/15*p**5 - 98/3*p**3 - 35*p**2 + 0 + 0*p. Determine k, given that i(k) = 0. 7 What is z in 3/5*z - 2/5*z**3 - 3/5*z**4 + 1/5 - 1/5*z**5 + 2/5*z**2 = 0? -1, 1 Let z(n) be the second derivative of -14641*n**6/120 - 25289*n**5/10 - 43681*n**4/2 - 301796*n**3/3 - 260642*n**2 - 286*n. Let z(s) = 0. What is s? -38/11 Let g(b) = b**4 - b**2. Let d(k) = -11*k**4 - 15*k**3 + 5*k**2 + 15*k + 6. Suppose 3*t = -10 + 16. Let u(y) = t*g(y) + d(y). What is n in u(n) = 0? -1, -2/3, 1 Let b(y) = y**3 - y - 15. Let p be b(0). Let c be 1 + (-6)/p + (-26)/(-10). Factor -2/3*k**2 + c*k - 6. -2*(k - 3)**2/3 Suppose -3*c - 5 + 17 = 0. Let d(z) be the first derivative of 4 - 4/5*z**2 + 1/5*z**c + 0*z + 4/15*z**3. What is m in d(m) = 0? -2, 0, 1 Let f be (-18)/135 - ((-26)/60 + 3/(-15)). Solve -5/4*s**4 + 0 + 0*s + f*s**3 + 0*s**2 + 3/4*s**5 = 0 for s. 0, 2/3, 1 Let b(l) = 93*l**2 - 84*l**2 - 21*l - 11 - 9. Let r(m) = -5*m**2 + 11*m + 10. Let i(n) = -3*b(n) - 5*r(n). Factor i(j). -2*(j - 5)*(j + 1) Let g(c) be the third derivative of c**8/1344 - 11*c**7/840 + c**6/20 + 3*c**5/20 + 67*c**2. Solve g(h) =
{ "pile_set_name": "DM Mathematics" }
nd derivative of -k**5/20 + 2*k**4/3 + 2*k**3/3 - 4*k**2 - 3*k. Let r be j(6). Calculate the greatest common factor of r and 8. 8 Suppose -3*v = v - 36. Let u = 42 + -6. What is the greatest common factor of u and v? 9 Suppose i + 2*i - 15 = -2*g, 2*g - 2*i = 20. Let a(f) = -6*f + 4 + 0*f + f**2 + 2*f + 2. Let z be a(4). Calculate the highest common divisor of g and z. 3 Let a = 22 + -31. Let w(v) = 4*v + v + 1 - v**3 + 3*v - 8*v**2. Let q be w(a). Calculate the highest common divisor of 2 and q. 2 Suppose 2*p - 5*u = -0*p + 266, p - u = 139. Let h = p - 87. What is the highest common divisor of h and 7? 7 Suppose 0*p + 2*p = 136. Calculate the highest common divisor of 17 and p. 17 Let z(l) = -l**2 + 16*l + 13. Let y be z(16). What is the highest common factor of 1 and y? 1 Let c be (-96)/(-18)*117/6. Calculate the highest common factor of 13 and c. 13 Let a be (-2555)/77 - 2/(-11). Let s = -8 + a. Let q = 239 + s. Calculate the greatest common factor of 22 and q. 22 Let f(p) = -p**3 + 18*p**2 - 18*p + 36. Let v be f(17). Calculate the highest common factor of 133 and v. 19 Suppose 4 = -4*v - 2*p, -3*v + 5*p - 6 + 3 = 0. Let q be ((-209)/(-22))/(v/(-2)). Calculate the greatest common divisor of q and 19. 19 Let s = 500 + -284. Calculate the highest common divisor of 24 and s. 24 Let w(m) = -3*m**3 + m**2 - m - 1. Let u be w(-1). Calculate the highest common divisor of 8 and u. 4 Let d be (-67)/(-2) + (-2)/(-4). Calculate the highest common divisor of d and 51. 17 Suppose -f = -3*u + 28 + 42, 5*u = -f + 114. Calculate the greatest common factor of 207 and u. 23 Let o(l) = 2*l**2 - 11*l + 17. Let x be o(6). Let i(v) = v**3 - v**2 + 5*v + 1. Let d be i(4). What is the greatest common factor of d and x? 23 Let c = -17 + 105. Suppose -5*o - a = 1 + 4, 5 = 4*o - a. Suppose o*n = 2*n - 22. What is the greatest common factor of n and c? 11 Suppose b - 5*h - 17 = 2*b, 0 = 4*h + 12. Let d be 8 + 1/(1/b). Calculate the greatest common divisor of 6 and d. 6 Let t(h) be the first derivative of 0*h - 2 + 3/2*h**2. Let u be t(9). Calculate the highest common divisor of u and 3. 3 Let v(c) = 62*c + 1. Let w be v(3). Let y(l) = l**2 + 3*l - 3. Let i be y(-4). Let o(n) = 17*n. Let q be o(i). What is the greatest common divisor of q and w? 17 Let q(w) = 5*w**2 + 9*w + 5. Let f be q(-4). Suppose 6*c = 2*c + 28. What is the highest common factor of f and c? 7 Let x be (107/2)/(1/(-2)). Let d = 0 - -2. Let b be -1 - 2/d - x. Calculate the greatest common factor of b and 42. 21 Let v be (-7)/((-21)/6) - -2. Let a(u) = -u**2 + 6*u - 5. Let k be a(v). Suppose -k*g + 5*g = 36. What is the greatest common factor of 18 and g? 18 Suppose -2*t + 157 - 41 = -u, 5*t - 320 = -5*u. What is the greatest common divisor of 24 and t? 12 Suppose 18*d - 17*d - 20 = 0. What is the greatest common divisor of 10 and d? 10 Let k be (-48)/(-216) + (-2)/18*-61. Calculate the greatest common divisor of 7 and k. 7 Let z = 1 + 5. Let h(f) = f + 8. Let a be h(-6). Suppose 3*i + 2*v = 6, -3*i - v = -a*v - 15. What is the greatest common divisor of z and i? 2 Suppose -45 = 27*b - 32*b. What is the highest common factor of b and 63? 9 Let n be 7/9 + (-6)/(-27). Let w(g) = 152*g. Let m be w(n). What is the greatest common divisor of m and 19? 19 Let v(j) = -j**2 + 5*j + 6. Let u be v(6). Suppose 5*o - 300 = -u*o. What is the highest common factor of o and 12? 12 Suppose -3*j - 2*l + 12 = 0, l + 9 = 4*j - 7. Calculate the highest common factor of 8 and j. 4 Let b = 81 + -1. What is the highest common divisor of 16 and b? 16 Let q = 10 - 8. Suppose 0 - 6 = -3*l. Calculate the highest common factor of l and q. 2 Suppose -4*s + 513 - 93 = 0. Suppose b = 5*d - s, -b + 4*b = 5*d - 105. Suppose -4*z + 10 + 2 = 0. Calculate the highest common factor of z and d. 3 Let h(c) = 5*c**2 - c + 2. Let u be h(-2). What is the greatest common divisor of 36 and u? 12 Let g be ((-54)/(-6))/(3/5). Calculate the highest common factor of g and 5. 5 Let r = 41 + -29. Let s = -27 - -63. Calculate the greatest common divisor of r and s. 12 Suppose -4*s + 22 = -m, -5*s + 0*s = m - 23. Suppose s*x = 4*x + 32. What is the highest common factor of x and 8? 8 Suppose k - 159 = -k + l, 405 = 5*k - l. Suppose -2*n + 0*n - k = -5*a, 3*n = 3*a - 42. Calculate the highest common divisor of a and 126. 18 Let a(g) = 11*g - 4 - 5 - 8*g. Let s be a(4). Suppose -6*j + 3*j = -45. Calculate the highest common divisor of s and j. 3 Let l be ((-4)/(-3))/(2/(-9)). Let u(x) = 2*x - 5. Let d be u(l). Let j be -2 - 1*(2 + d). Calculate the greatest common factor of 65 and j. 13 Suppose p - 1 = -0. Suppose 0 = -5*w - i + 420, -2*i - 9 = p. What is the highest common factor of w and 34? 17 Let m be 1/2*(-12)/(-2). Suppose -5*t + 2 = -3*t + m*y, -3*t - 3*y + 3 = 0. Calculate the greatest common divisor of 8 and t. 1 Suppose k - 73 = -2*c + c, -4*k - 233 = -3*c. Calculate the greatest common factor of 25 and c. 25 Let m(v) be the third derivative of v**4/4 + 4*v**2. Let t be m(1). Calculate the greatest common divisor of 6 and t. 6 Suppose -2*b + 3 = 5*q - 5, 2*b - 8 = q. Let s = -10 - -14. Suppose s*g - 40 = -q*g. What is the greatest common divisor of g and 70? 10 Let n = -77 - -38. Let l(z) = -z - 17. Let b be l(0). Let h = b - n. What is the greatest common factor of 11 and h? 11 Let p(j) = -j**2 + 8*j - 3. Let f be p(5). Calculate the highest common factor of 96 and f. 12 Suppose 0 = -4*y - 0*y + 8. Suppose -1 = y*d - 5. Suppose -f = -d*w + 1, 5 = -2*w + 5*f + 2. Calculate the highest common divisor of 1 and w. 1 Let l(y) = y**2 - 4*y - 12. Let o be l(-9). What is the greatest common divisor of o and 21? 21 Let d(y) = -y. Let p be d(-2). Let n be p*((-13)/(-2) - 1). Suppose 4*j = -4*l + 412, 150 + 32 = 2*l - 4*j. Calculate the highest common divisor of n and l. 11 Let y = 121 + -34. What is the greatest common divisor of 58 and y? 29 Suppose 3*r = r + 20. Calculate the highest common divisor of 15 and r. 5 Let c be 10*(1/2 + 55/50). Calculate the highest common factor of c and 96. 16 Let r = 0 - 1. Let c be (-2)/3*(r + -2). Let o(p) = 6*p**2 + 3*p - 3. Let x be o(c). Calculate the greatest common factor of x and 3. 3 Let l be ((-2)/4)/(6/(-24)). Suppose -2*b + 2 = -b. What is the greatest common divisor of l and b? 2 Let j(d) = 2*d**2 - 7*d + 38. Let x be j(6). What is the highest common divisor of x and 17? 17 Let v be (124/10)/((-2)/(-30)). Suppose 2*b + 4 = v. What is the highest common factor of b and 13? 13 Suppose 0*c + 2*c = -4*h + 4, 2*c + 5*h = 2. Suppose 0 = 4*t - 4. Let d be (0 + 0 + t)*9. Calculate the greatest common divisor of c and d. 3 Suppose 0 = d + 2, 2*d = -7*w + 4*w + 29. What is the highest common divisor of w and 55? 11 Let o = 10 - 7. Suppose 4*u = -3*v + 3*u + 43, -v + 25 = o*u. What is the greatest common divisor of v and 104? 13 Let i be (-1 - -241)*(-3 + 105/28). What is the highest common factor of i and 18? 18 Let d(v) = 75*v**2 + v. Let u be d(-1). Suppose -3*f = u - 26. Let m = f + 30. Calculate the greatest common divisor of 154 and m. 14 Suppose 0 = -3*v - 4*t + 3*t - 8, -3*v - 2*t - 10 = 0. Let k = 9 - v. Calculate the greatest common divisor of k and 77. 11 Suppose 16*f - 410 + 122 = 0. What is the greatest common factor of f and 99? 9 Let k be (-3)/9 + (-362)/(-6). Suppose 3*v = -0*v + k. Calculate the greatest common factor of v and 80. 20 Let m = -3 - -17. Suppose -4*s + 5*r + 295 = 0, 3*r + 12 = -r. What is the greatest common divisor of s and m? 14 Let o(r) = -r + 18. Let n be o(10). Calculate the greatest common factor of n and 1. 1 Let w = -143 - -275. Let n(h) = -19*h + 12. Let t be n(0). What is the greatest common factor of t and w? 12 Suppose 14 - 2 = 4*h. Suppose -8 = -4*d - 4*y, 5*y = 3*y - 2. What is the greatest common divisor of h and d? 3 Suppose 7 = 2*x - 5*k, x = -6*k + k + 26. Calculate the highest common factor of x and 11. 11 Let h be 9*8/(-12)*6/(-4). Calculate the highest common factor of 144 and h. 9 Let l(i) = -19*i - 182. Let q be l(-10). Let k be (-3)/(-2)*16*1. Calculate the greatest common divisor of q and k. 8 Let z(m) = -88 - 3*m + 84 + m. Let j be z(-4). What is the greatest common factor of j and 6? 2 Let r = -6 + 5. Let k be r/(3/30*-1). Calculate the highest common f
{ "pile_set_name": "DM Mathematics" }
n) = -n - 2. Let k be r(5). Let z be (-2)/k + 4/(-14). Solve -5*p - 3*f + 0 - t = z, p + 3*f = 7 for p. -2 Suppose 10 = 3*b - 5. Solve 2*h = 2, b*h + 5 = -3*n + 8*n for n. 2 Let u = 60 + -55. Solve 0 = -5*l - 3*x + 2, 14 = 4*l - 5*x + u for l. 1 Suppose 2*w - 4 = -6*s + s, 0 = 5*s + 4*w - 8. Suppose 16 = 2*b - r - 2*r, s = -3*r - 12. Solve -6 = 3*n, -u = 4*u + b*n + 9 for u. -1 Let m(n) = -2*n + 10. Let r be m(3). Solve -4*f + f + r*a = 5, 2*f - 5*a = -15 for f. 5 Let b = -13 - -25. Let t = 0 - 3. Let s be t + 2/(2/5). Solve 0*d - 4*c = -5*d - b, s*d = c - 3 for d. 0 Let y(u) = -10*u - 3. Let b be y(-2). Suppose -4*r + 2*s + 7 = -b, 0 = 5*r - 5*s - 40. Let m = 9 - r. Solve m*i = -3*j - 0*j - 15, -3*j - 12 = 4*i for i. -3 Let z = 30 + -15. Suppose 3*d = -5*v + 2*v + z, 3*v - 39 = 5*d. Solve 0 = -w - 0*w - 5*t + v, -6 = -3*t for w. -2 Let c(k) = 9*k - 3. Let b be c(1). Suppose p + 3*p + 3*d = -7, 0 = 3*p + 5*d - 3. Let z be (1 + 0 - 2)*p. Solve 17 = -z*h + 5*f, -5*h + 3*f + b = 24 for h. -3 Let d be (-2)/(-1) - 16/(-4). Suppose -8*o = -5*o - d. Solve 2*q - 4*q - 12 = 4*l, o = -3*q + 2*l for q. -2 Suppose u = 4*u. Suppose u = 4*o + 16 - 4. Let m be 1 - 0/3 - o. Solve y = -5*j - 9 + 26, -m*j - 2*y = -16 for j. 3 Let c be 6 + -11 - (0 + 0). Let b be c/2*228/(-15). Solve -3*f - 3*i = 21, -5*i = 4*f + b - 7 for f. -4 Let t(c) = -5*c - 36. Let a be t(-8). Solve v = -2 + 1, a*y = -4*v + 16 for y. 5 Let p(f) = -f**3 - 11*f**2 + 13*f + 22. Let o be p(-12). Solve -5*z - 25 = -o*z + 2*v, -3*z + 19 = -2*v for z. 3 Let r(a) = -11*a + 8. Let t be r(-6). Suppose -2*h = -t - 52. Let c be (-14)/h - (-76)/18. Solve -p - c*q = -0*p, 0 = -3*p + 2*q for p. 0 Let h be 15/6 + (-2)/4. Suppose 4*w = 5*x + 7*w - 13, 2*w = -3*x + 7. Let i = x - h. Solve 4 = 4*y, i*o - 1 + 3 = -4*y for o. -2 Suppose -2*p = -4*c + 5*c - 10, -3*p + 2*c + 22 = 0. Solve 0 = -p*l + l + 4*r + 8, l - 4 = 2*r for l. 0 Let u(h) = h**2 + h + 4. Let y be u(0). Let c(f) = f + 2*f**2 - 4*f - f**2. Let g be c(y). Solve -8 = g*a - 7*a - b, a - 4*b = 20 for a. 4 Let g(f) = -f**2 + 10*f - 11. Let p be g(8). Let h = 4 + 1. Solve p*q + 5*y + 35 = 0, 3*y + 8 = -h*q - 17 for q. -2 Let i be (5 - 11/2)*-6. Solve -2*d = 4, i*f - 4*d - 9 - 14 = 0 for f. 5 Suppose 4*x = 2 + 6. Suppose 0 = -b + x*w, 3*w = 4*b + w. Solve -a = 4*a - 3*m - 10, -2*a - 4*m + 4 = b for a. 2 Suppose 0 = -3*k - 4*v - 8, 2*k - 5*v = 5*k + 10. Solve -d = 3*p - 3*d + 7, -5*p - 4*d + 3 = k for p. -1 Suppose -4*j = -4*d + 4 + 16, d + 1 = -j. Solve 0 = -3*l - k + d*k - 11, 9 = -2*l + k for l. -2 Suppose 5*l - 4*k - 3 - 5 = 0, 0 = l + 3*k - 13. Solve -3*o - 2*c + 27 = c, 2*o = -l*c + 26 for o. 5 Suppose 8*c = -4 + 20. Solve -7*l = -c*l - u - 2, -4*l = -5*u - 10 for l. 0 Let m(k) = -k - 6. Suppose -3*a + 6*a + 36 = -3*v, -5*v - 48 = 2*a. Let d be m(v). Solve -2*o + 2*i + 10 = -2*i, -o - d*i - 15 = 0 for o. -5 Suppose -10 = 5*a + 5. Let x(v) = -v**2 + 7*v - 7. Let j be x(5). Let s = j + a. Solve -r - 4 = 0, s = 4*z - 2*z - 5*r - 28 for z. 4 Suppose -3*q = -31 - 11. Let b = -9 + q. Suppose 4*u - j = 53, -b*u + 47 = -j - 20. Solve 2*f = -4*t - 22, -4*f = -5*t - 2*f - u for t. -4 Suppose -3*v - 4*t + 59 = 0, -3*t - 19 + 93 = 4*v. Let n = v - 12. Solve -2*r + 11 = 5*h + 1, 3*h = r - n for h. 0 Suppose 2*l - 31 = -0*l + m, -43 = -l - 5*m. Suppose 4*p + 8 = 2*i + i, 2*p = 5*i - l. Solve -i*t - 33 = 5*q, 0*q = 2*t - q - 1 for t. -2 Let k = 25 + -23. Solve -k*s + 3*m - 4 = -0*m, 2*m = 4 for s. 1 Suppose -3*o + 0 = -12. Let x be (6/o)/(4/8). Solve -4*p - x = -r - 0*r, -3*p - 21 = 3*r for p. -2 Let t be (-18)/3*(-5)/15. Solve 0 = -x - i - 8, t*i = -5*x - 0*i - 31 for x. -5 Let f = -19 + 17. Let j = f - -7. Solve -3*i = -b - 5, 0*i - 2*i = -b - j for b. -5 Suppose -a = 4*a - 2*x - 4, 2*a + 10 = -5*x. Solve -q - 4*q = -h + 28, a = -q - 4*h + 7 for q. -5 Let x(s) = -s**2 + 10*s - 9. Let v be x(9). Let g = v + 0. Suppose -3*b + 2 + 13 = g. Solve 4*q = 4, 5*r + 5*q = b + 25 for r. 5 Let q = 6 - 2. Solve b - 3*b = 3*v + 6, 0 = 4*b - q*v - 8 for b. 0 Suppose -5*n = -0*n - 25. Solve n*d = -5*c + 50, 5*c - 3*d + 2 = 12 for c. 5 Let w be (-3)/(-9) + (-20)/(-12). Solve -2 = w*q + 2*i, 4*q - i - 20 = i for q. 3 Let p = -12 + 14. Solve 2*o + 20 = 2*v, p*v - 51 = 5*o - 16 for v. 5 Suppose 5*l + 25 = 5*h, l + l = -2. Suppose -6*z + 15 = -3*z. Suppose 87 = 5*g - 4*x, -x - 51 = -4*g - 4*x. Solve h*f + 3 = d, -z*f - g - 10 = 3*d for d. -5 Suppose 0 = 4*x - 3*x - 1. Solve -2*u = -3*u + 3*m - 1, -m + x = 0 for u. 2 Suppose 3*y - 32 = -8. Solve 5*j = -4*q + y, 2*q - 2 = -3*j + 2 for q. 2 Let p be 8/6*5*3. Suppose -3*m - 16 = -u, -u - 3*m + 7*m + p = 0. Solve 3*z - 4*a = -z + 8, -u*a = -2*z + 8 for z. 0 Let n = 5 - 2. Suppose l = -n*v + 49, 22 = 5*v + 2*l - 58. Let t be -8 + 5 - (-1 - 5). Solve -5*a + 31 = t*f, f + 4*a = 8*a - v for f. 2 Suppose -2*r = 2 - 4. Suppose -2*n + 2 = -3*n, -3*n = 3*g. Suppose -g*f + 3*f = 0. Solve -x - d - 1 = f, 4*d + r = 5*x - 3 for x. 0 Let y(z) = -2*z - 2. Let g be y(-3). Solve 0 = 2*h - g*b + 9 + 1, 0 = -4*h + 3*b + 5 for h. 5 Let m be 8/24 - (-28)/6. Suppose -13 = -5*a - w, 0*w - w = a - 5. Solve q + a*n = 10, q + 7 = -q + m*n for q. 4 Let v = 5 + -3. Let z(d) = d**3 - d**2 + d - 2. Let f be z(v). Let b = -32 - -36. Solve -l = 2*r - 5, f*l + 0*l = -b for r. 3 Let o be (-152)/(-12) - 6/9. Solve 5*s + o - 3 = -p, -5*s - 10 = 0 for p. 1 Suppose 2*q + 4*j = 12, -2*j + j = -2*q + 17. Solve -2*o - 3*t - 21 = -q, -2*t = -5*o - 4 for o. -2 Let k(q) = -11*q + 1. Let i be k(3). Let g be ((-6)/(-4))/((-12)/i). Solve 0 = -4*a - 5*l + 5, -g*a + 0*a - 4*l + 4 = 0 for a. 0 Let n(f) = -3*f - 15. Let r be n(-6). Solve q = 4*z - 9*z - 20, 0 = -r*z - 12 for q. 0 Let t(z) = -4*z + 3. Let k be t(2). Let d = 7 + k. Solve n - u + 2 = -d, -4*n - 5*u = 7 for n. -3 Suppose -26 = -3*g + 3*j - 8*j, -g = -4*j + 14. Solve g*b - 10 = 0, -4*b - b = -3*i - 37 for i. -4 Let g = 78 + -74. Solve -2*c + 7 = -g*q + 3*q, 15 = 4*c - 3*q for c. 3 Suppose 0 = 4*r + 16, 9 = 4*h - r + 1. Solve -u + 2 = 5*v, v - u + 1 = -h for v. 0 Let w(l) = 5*l + 2*l**3 + 7*l**2 + 3*l + 0 - l**3 + 4. Let z be w(-5). Solve -2*g = -2*x + 4, 3*x + 4*g = 2*g - z for x. -2 Suppose 7*m = 10*m. Solve 3*j = 2*a - 7*a + 32, a - j = m for a. 4 Suppose -n + 4 = -0*n. Solve -4*i - 5*b = 3, -5*i - n*b + 1 - 7 = 0 for i. -2 Suppose 3*k - 29 = -3*l - l, -k - l = -8. Suppose 5 = -h, 5*h - 11 + 60 = 2*d. Let x = d + -12. Solve k*w + 2*y + 6 = 0, 0 = -x*w + 2*w - 5*y + 4 for w. -2 Suppose 3 + 1 = -4*h. Let v(j) = -5*j. Let q be v(h). Suppose -t - 8 = -p, -15 = -p + 3*t + 3. Solve p*i - 14 = q*k, 5*i + 3 = k - 3 for k. -4 Let h(m) = m**2 - 8*m - 5. Let o be h(9). Suppose -2*b = -o, 3*v - 34 = 2*v - 2*b. Let t = -4 + 7. Solve -20 = p - 3*q, v = -t*p - 0*p + 3*q for p. -5 Let q(x) = x**3 - 16*x**2 - x + 21. Let v be q(16). Let a(p) = p**2 + 7*p - 4. Let s be a(-8). Solve s*k = -3*m - k, v*m + 3*k = 0 for m. 0 Suppose 0 = -5*s + 2*s + 8*s. Let k be (-1)/((-2)/(-3) - 1). Solve k*r + 4*g - 9 = s, -r - 4*r + 15 = -5*g for r. 3 Suppose 3*k = -2*k + 40. Suppose -x + c = -c - k, x + 16 = -4*c. Solve -2*a + 2*i = 8, x = 5*a + 7*i - 4*i + 20 for a. -4 Let g = -43 + 60. Let l = g + -15. Solve 0 = -2*q - 4*n - l - 8, 5*q + 25 = n for q. -5 Suppose 1 = 3*r - 5. Let k(p) = -p**2 - 3*p + 3. Let x be k(-3). Solve 2*d - r*u = -x*u + 15, 2*u - 15 = -d for d. 5 Let c be (-260)/(-36) - 8/36 - 2. Solve 3*u - 22 = -5*x, -3*x + 25 = c*u - 1 for u. 4 Let u = 5 + -1. Solve 5*g + 1 = 3*l + u, -4*l = 4*g - 28 for l. 4 Let y(d) = -d**3 - d**2 + 2*d - 3. Let f be y(-3). Suppose 5*z - f - 6 = 0. Solve 11 = 3*p - c, z*p = 8*p + 4*c - 41 for p. 5 Suppose -7 - 41 = -4*j. Let r be (-1)/(-4) + 45/j. Solve 0*u + 2*u + r*t = 10, 4*t = 8 for u. 1 Let v = -20 - -24. Solve 4*y = 2*l - 6 - 0, 0 = v*y for l. 3 Let a(g) = 22*g + 2. Let w be a(-5). Let z be ((-3)/(-2))/((-9)/w). Solve -2*y + 0 = 3*j + 2, -2*y - z = -5*j for y. -4 Let i be 1 + 2/(-1 - 1). Suppose i = 2*v + 2*v - 20. Let y be 8/(-6) - (-32)/24. Solve v*r = o - y*o - 21, 2*o - 2*r = 2 for o. -4 Let g = -157 + 162. Solve -4*t = g*w - 31, 5*t - 4*w + 3 = 11 for t. 4 Let p(h) = -3*h - 11. Let w be p(-7). Solve 0 = -5*a - i + w, -i = -4*a - 4*i - 3 for a. 3 Let p(r) = r**2 + 10*r + 11 + 3 + 2*r. Let l be
{ "pile_set_name": "DM Mathematics" }
+ 661*r) + r**4 + 3*r**2 - 3*r**2. 89*r**4 Expand (0*h**2 - 2*h**2 + h**2)*(4 - 3 - 4) + 8*h**2 - h**2 - h**2 + 2*h**2 + 0*h + 0*h + (0*h + h - 3*h)*(2*h - 4*h + 3*h) + 4 - 4 - 2*h**2. 7*h**2 Expand (-4 - g**3 + 4)*(g - g**2 - g) - g**4 + 17*g**5 - 16*g**5 + 8*g**4 - 2. 2*g**5 + 7*g**4 - 2 Expand (x - 3*x**3 + 8*x**3 - 4*x**3 + 7*x**5)*(1 - 5 + 2). -14*x**5 - 2*x**3 - 2*x Expand 3 - c - 3 - 3*c + 3*c + 8*c - c + 2 - 2 - 2*c + 2*c + c + (-1 + 2 - 3)*(4*c - 7*c + 2*c) + (0*c + c + c)*(-3 + 0 + 1). 5*c Expand 0*l**5 + 2*l**5 - 4*l**5 + 5*l**3 + 4*l**5 - 5*l**3 + (2*l**4 + 2*l**4 - 5*l**4)*(-3*l + 0*l + 0*l). 5*l**5 Expand (6*s - 4*s - 4*s)*(0*s**2 - 2*s**3 + 0*s**2) - 4*s**4 + 5*s**4 - 3*s**4 - 1 + s**4 + 1 - 2436*s**3 + 2436*s**3 - 50*s**4. -47*s**4 Expand -11*v**4 + v + 4*v**4 - 21*v**2 + 8*v**4 - 2*v**4 - v**4 + 4*v**4 + (-6*v**2 + 3*v**2 + v**2)*(-2 + 2 + v**2) + 0*v**4 + 3*v**4 - v**4. 2*v**4 - 21*v**2 + v Expand (-4 + 3 + 2)*(6*z**3 - 3*z**4 - 6*z**3). -3*z**4 Expand -d**3 + 4*d**3 - 5*d**3 - 3*d**3 + 4*d**3 + 3*d**3 + (-7*d + 3*d + 3*d)*(3*d - 3*d - d**2) + 2 - d**3 - 2. 2*d**3 Expand (-k + 2*k + k)*(0*k + 0*k + k) + 13*k - 5*k**2 - 13*k + 3*k**2 + 3*k**2 - 7*k**2 + (-2*k - 3*k + 6*k)*(-k - k + k) - 4*k - k**2 + 4*k. -6*k**2 Expand (0*z**2 - 3*z**2 + 4*z**2 + (2*z + 0*z - z)*(-2*z - 2 + 2))*(0 + 0 + 4*z**2 + (3 - 3 - 2*z**2)*(-1 - 2 + 2)). -6*z**4 Expand (0 - 5 + 3)*(4*c**3 - 4*c**3 - 2*c**3)*(0*c + 2*c - 4*c)*(-8 + 4 - 5). 72*c**4 Expand (0 - 4 + 3)*(5*z - 2 - 2*z - z). -2*z + 2 Expand (-4 + 1 + 2)*(-1 - 1 - 2)*(5*j - 3*j + 0*j). 8*j Expand (-4 + 1 + 1)*(t - 4 + 4)*(0*t - t**2 + 0*t). 2*t**3 Expand -2*w**4 + w**2 - w**2 + 0*w**4 - 2*w**4 - 2*w**4 + (0*w**2 - 2*w**2 + 0*w**2)*(-1 + 1 + 2*w**2) - 2*w**4 + 8*w**2 - 8*w**2. -12*w**4 Expand -1 + 1 + c - 2*c**3 + (2*c**2 + 3*c**2 - 6*c**2)*(-c + 2*c + 0*c). -3*c**3 + c Expand (-s - 2 + 2)*(-4*s + 4*s + 3*s)*(s - s - s). 3*s**3 Expand (-2 + 6 - 3)*(3*d + 0*d - 2*d)*(-3*d + 0*d + 6*d). 3*d**2 Expand (2 + g - 3 - 3*g)*(-6 + 4 + 3). -2*g - 1 Expand (1 - 3 + 4)*(-u - 3*u + 2*u)*(-u - u**3 + u). 4*u**4 Expand (2*y + y**3 - 2*y)*(0 + 3 - 1 + (-1 - 2 + 2)*(1 + 3 - 6) + 1 - 2 + 3). 6*y**3 Expand (0*g - g - 8 + 5)*(-4*g**2 + 4*g**2 + 2*g**2). -2*g**3 - 6*g**2 Expand (2*o**2 - 3*o + 3*o)*((4 - 4 - 1)*(0 - 4 + 6) + 0 + 1 + 4) + (-3*o**2 + 0*o**2 + 2*o**2)*(-2 + 0 + 1). 7*o**2 Expand 4*q**2 - 2*q**2 - q**2 + 0*q**2 + 0*q**2 - 2*q**2 - q**2 - q + q + (0 + 2*q + 0)*(1 - 1 - q) - 14*q**2 + 5*q**2 + 12*q**2. -q**2 Expand (-2*b + 0 + 0)*(-3*b**2 + 0*b**2 - b**2) - b + b + b**3 + 2*b**2 - 2*b**2 - 2*b**3 + (b - 2*b - b)*(-2*b**2 - b**2 + 5*b**2). 3*b**3 Expand (1 + 0 - 19)*(-6*x + 4*x - 2*x). 72*x Expand (-2*v**2 + 3*v**2 + 3*v**2)*(4*v**3 - v**3 - 5*v**3 - 2*v**2 - 2*v**3 + 2*v**2 + (-2*v**2 + 0*v**2 + v**2)*(-v + 0 + 0)). -12*v**5 Expand (3 - 2 + 8)*(-5*x + 2*x - x)*((4*x**2 - 4*x**2 - x**2)*(2*x + 2*x - 2*x) + x**3 + 2*x**3 - 2*x**3). 36*x**4 Expand (-2 + 4 - 3)*(9 - 3 - 2)*((-w + 4*w - w)*(1 - 4 + 4) - w + 4*w - w + 3*w - 4*w + 4*w). -28*w Expand (1 - 1 + 2*o)*(31 + 10 - 6). 70*o Expand (q - q - q)*(-3 + 2 + 3 - 2*q) + (1 + 4*q - 1)*(q + 2 - 2). 6*q**2 - 2*q Expand (-3 + 2 - 1)*(3*k**2 + 0*k**2 + 0*k**2) + (2*k + 2 - 2)*(3*k - 4*k + 2*k). -4*k**2 Expand (-3 + 4 + 1)*(2*w**2 + 2*w - 2*w) - 2*w**2 - 1 + 1. 2*w**2 Expand (-4*w + w + 2*w)*(2*w - 3*w + 3*w) + 4*w**2 + 10*w**2 + 2*w**2. 14*w**2 Expand (-5 - b + 5)*(0 - 5 + 4)*(13*b**2 - 5*b**2 - b**2). 7*b**3 Expand a - 2*a + 0*a + 0*a - 3*a + 2*a + 3*a + 4*a - 5*a + (-2*a - 2*a + 2*a)*(2 - 3 + 0) + 4*a + 3*a - 5*a + (-2 + 5 - 4)*(-a + 0*a + 2*a). 3*a Expand -t - 2*t + 4*t - 5*t + 5*t + 2*t + (-2 - 1 + 1)*(2*t + 4*t - 4*t) - t - 2*t + 2*t - t + 4*t - 4*t - t + t - t - t + 10*t - t. 4*t Expand (-4 - 2 + 20)*(0 + 4 - 1)*(-b - b + 0*b). -84*b Expand ((0 - 4 + 2)*(2*r - r + 0*r) - 4*r + 5*r - 2*r)*(6 + r - 6). -3*r**2 Expand (-6*h**3 + 5*h**3 + 5*h**3)*(325 - 2*h - 325) + 0*h**4 + 2*h**4 + 0*h**4. -6*h**4 Expand (7 + 9 - 20)*(0*q + 3*q - 4*q) - 6*q + q + 3*q. 2*q Expand (c**2 + 0*c**2 + c**2)*(-100 + 100 - 18*c**2). -36*c**4 Expand 0*m**3 + 0*m**3 + m**4 + (m**4 - 4*m**4 + 5*m**4)*(-4 + 1 + 4) - 9*m - 3*m + 8*m - 2*m**3 - m**4. 2*m**4 - 2*m**3 - 4*m Expand (2*v**3 + 5*v**3 - 5*v**3)*(9 - 14 - 4) + (6*v - v - 3*v)*(v**2 + 0*v**2 + v**2). -14*v**3 Expand (4*n**2 - 4*n**2 - 2*n**2)*(90 - 90 + 5*n**2). -10*n**4 Expand (-181*l**2 - 4*l + 181*l**2 - 3*l**4)*(-l - l + 3*l). -3*l**5 - 4*l**2 Expand (-3 + 0 + 1)*(3*u + u - 6*u)*(-u + 0*u + 3*u). 8*u**2 Expand -m**3 + 1 - 1 - m**3 - 3*m**3 + 2*m**3 + m**3 + 4 - 4 + (-2 + 2 + 2*m**2)*(3*m - m + 0*m) + 0*m**3 + 6*m**3 - 3*m**3 + m**3 + 3*m**3 + 2*m**3. 11*m**3 Expand (34*k + 10*k - 3*k)*(-k + k + 2*k). 82*k**2 Expand (3*y + 4 - 4)*(2*y**3 + 2*y**3 - y**3). 9*y**4 Expand (0 - 1 - 2)*(5 + 2 - 3)*(-s**5 + 0*s**5 + 3*s**5). -24*s**5 Expand (2*j**2 + 5*j**2 - 6*j**2)*(10*j - 29 + 29). 10*j**3 Expand -g**4 + g**2 - g**2 + (-4*g + 7*g - 4*g)*(-3*g**3 + 5*g**3 - 4*g**3) - 4*g + 2*g**4 + 4*g + 7*g**3 - g**4 - 7*g**3. 2*g**4 Expand (0*h**2 + 3*h**2 - 2*h**2)*(-4 - 2*h + 4)*(4*h + h - 2*h)*(1 - 1 + 1). -6*h**4 Expand m**5 + 5*m**3 - 5*m**3 + (0*m**3 - 2*m**3 + 0*m**3)*((0*m + 3*m - m)*(-1 + 1 + m) - 2*m**2 + 5*m**2 - 15*m**2). 21*m**5 Expand (2 - 3 - 1)*(3*d - 2*d + 0*d)*(-3*d**3 + 3*d**3 + d**3). -2*d**4 Expand (-1 + 0 - 2 + (3 - 3 - 1)*(-1 + 2 + 0) - 3 + 1 + 0 + 2 + 0 + 0 + (6 - 4 - 3)*(1 - 1 + 2))*(3 - 2*w**3 + 0*w**3 - 1). 12*w**3 - 12 Expand g + 2 - 2 + (4*g - 4*g - 2*g)*(0 + 1 + 1) + 13*g - 30*g + 14*g. -6*g Expand (k**3 - 5*k**3 + 5*k**3)*(0 + 2 - 4) + k - 2*k**3 - k + 8*k**3 + 2*k**3 - 3*k**3. 3*k**3 Expand (o**3 + 0*o**3 + 2*o + o**3 + o**2)*(7*o**2 - 6*o**2 - 6*o**2). -10*o**5 - 5*o**4 - 10*o**3 Expand (-76 + 76 - 13*p)*(2*p**3 - p**3 + p**3 + 2*p**3 + p**3 - 4*p**3 + (p**3 - 5*p**3 + 2*p**3)*(-3 - 1 + 2) + p**3 - p**2 + p**2). -78*p**4 Expand (0 + 0 + h)*(-67 - 26 + 28). -65*h Expand (-3*f + f - 7*f)*(-4 + 0 + 5 + (0 + 0 + 2)*(1 + 1 + 0)) + (-1 + 2*f + 1)*(-2 + 3 - 3). -49*f Expand 0*t**4 - 2*t**4 + 3*t**4 + ((-6*t + 2*t + 2*t)*(-3 + 1 + 4) + 2*t - 2*t - 2*t)*(-3*t + 3*t - 3*t**3). 19*t**4 Expand (4*n**2 + n**2 - 3*n**2)*(-36 + 36 - 12*n**3). -24*n**5 Expand (0*g - 4*g + 5*g)*(9*g**2 + 39 - 39 - g). 9*g**3 - g**2 Expand (-5 - 4 + 4)*(4 - 4 + 2*i + i**2). -5*i**2 - 10*i Expand (2 - 3 + 2)*(8 - 39 - 2)*(2*m**2 - 6*m**2 + 2*m**2). 66*m**2 Expand (-2*a**3 + a - a)*(0*a - 2*a + a) + 0*a + 0*a + a**4 + (-2*a**2 - a**2 + 4*a**2)*(32*a**2 + 2658*a - 2658*a). 35*a**4 Expand (2*q - 3*q - 3*q)*(0 - q**3 + 0 + (1 - 2 + 2)*(-q**2 + 2*q**3 + q**2) + 0 - q**3 + 0 - 4 + 4 + 7*q**3). -28*q**4 Expand (-2*a + 3*a + 0*a)*(-2*a**3 + 7*a**3 + 2 - 7*a**3) - a**4 + 0*a**4 - a**4. -4*a**4 + 2*a Expand (-4*g**3 - g**3 - 5*g**3)*(2*g**2 + 0*g**2 - g**2) + (2*g**2 - 2*g**2 - 2*g**2)*(2*g**3 - 2*g**2 + 2*g**2). -14*g**5 Expand 2 - 7*x**4 - 2 - 1 + 1 + x**4 + (-x - 2*x + 5*x)*(-2*x**3 + 2*x**3 + x**3). -4*x**4 Expand (3 - 2 - 3)*(-72 - 6*j**2 + 72)*(-j**2 + 4 - 4). -12*j**4 Expand (1 - 7 + 3)*(-7*s - 44 + 44) + (-2*s - 3 + 3)*(1 - 4 + 5). 17*s Expand (-3 + h + 3)*(-4*h**2 - 11*h + 7*h**2 + 12*h - 5). 3*h**3 + h**2 - 5*h Expand (2*b - 5*b + 2*b + 1)*(19*b - 19*b + 2 - b**2). b**3 - b**2 - 2*b + 2 Expand (2*w**4 + 3*w**4 - 3*w**4)*(2*w - w + w) + (4*w + 11 - 11)*(-3*w**4 - 17 + 17). -8*w**5 Expand (-3 + 2 + 0)*(1 + 4 - 2)*(3*s**5 - 5*s**5 + 0*s**5). 6*s**5 Expand ((-1 + 1 - 2*p)*(4*p - 3*p - 2*p) - 2*p**2 - 2*p**2 + 6*p**2)*(7 - 1 - 3). 12*p**2 Expand (1 + o - 1)*(2*o**2 + o**2 - 5*o**2) + 30*o**3 - 32*o**3 - 5*o**2 - o - 3*o**2. -4*o**3 - 8*o**2 - o Expand (-y**5 + 3 - 3)*(-2 + 0 - 1). 3*y**5 Expand (3*b**2 - 1 + 1)*(2*b**2 - 4*b**3 + b**2 + 2*b**3). -6*b**5 + 9*b**4 Expand (5 + 3 - 3)*(1 + 3 - 5)*(2*c - 8*c**2 + 11*c**2 - c). -15*c**2 - 5*c Expand 4*a**3 - 2*a**3 - a**3 + (-5*a + 5*a + 5*a**2)*(-4 + 4 + 2*a) + a - a - 2*a**3. 9*a**3 Expand (4 + 3*m**2 - 4)*(-m**3 + 0*m**2 + 0*m**2) + m + m**2 + m**5 - 5*m + 2*m. -2*m**5 + m**2 - 2*m Expand (2*n**3 + 0*n**2 + 0*n**2)*(-3*n - 2*n + 6*n + (2 + 1 - 1)*(0 - 2*n + 0) - 3*n - 2 + 2). -12*n**4 Expand (-6*k**2 + 23*k**2 + 14*k**2)*(-4*k**2 + 1 - 1). -124*k**4 Expand (1 + 2*w - 1)*((3 - 1 - 1)*(-w + 4*w + w) - 4*w
{ "pile_set_name": "DM Mathematics" }
rt(832) + sqrt(832)))**2 + sqrt(104)/(sqrt(8) - sqrt(72)*-4). sqrt(13)/13 + 20805 Simplify (-1 + sqrt(2736) + -3 - ((sqrt(133)*3 + sqrt(133))*-3)/sqrt(7))**2. -192*sqrt(19) + 10960 Simplify (sqrt(27) - sqrt(675)*5)**2 + sqrt(27)/((sqrt(225)/sqrt(5))/sqrt(5)). sqrt(3) + 15552 Simplify (-4*(sqrt(1008) + 1)*-5)**2 + 1. 9600*sqrt(7) + 403601 Simplify (sqrt(245)*2*-2)**2 - (-1 + (sqrt(5) - 6*(2 + sqrt(5)))). 5*sqrt(5) + 3933 Simplify -4 + (sqrt(2057) + -4 - (4*sqrt(85))/sqrt(5)). -8 + 7*sqrt(17) Simplify (sqrt(160)/(sqrt(5)*1) - 6*-2*sqrt(32)) + sqrt(160)/((sqrt(120)/sqrt(4))/sqrt(6)). 56*sqrt(2) Simplify -3*sqrt(80) - ((sqrt(300)/sqrt(5))/sqrt(12))**2 - ((sqrt(35)*2)/sqrt(7) + 1*(sqrt(5) + sqrt(10)/sqrt(2)) + -4). -16*sqrt(5) - 1 Simplify (-5*sqrt(700)*-2 - (sqrt(700)*2 + sqrt(700))*6)*-4. 320*sqrt(7) Simplify (1*(sqrt(121) + (1*sqrt(121) + sqrt(121))*6 + sqrt(121)))/(sqrt(44)/(sqrt(64)/sqrt(4))). 28*sqrt(11) Simplify -3 + -3*-2*(sqrt(539)*3 + -5 + sqrt(539))*-1. -168*sqrt(11) + 27 Simplify (sqrt(76) - (-4*(sqrt(76) + -2*sqrt(76)) + sqrt(76) - sqrt(76)) - sqrt(76) - sqrt(76))/((sqrt(28) - sqrt(1008))/sqrt(7)). sqrt(19) Simplify ((((sqrt(231) + sqrt(231)*-1)*5 + sqrt(231))/sqrt(7))/(1*sqrt(11)*6*-2))**2. 1/48 Simplify (2*sqrt(170)*2 - 1*sqrt(170)*-5)/((sqrt(110) - -3*sqrt(110)*-5)/sqrt(11)). -9*sqrt(17)/14 Simplify ((sqrt(2662)*2*2)/(sqrt(132)/(sqrt(12)*2)*2))**2. 3872 Simplify 6*(3 + sqrt(272) + 4 + sqrt(272) + (sqrt(272) + -6*sqrt(272))*1)**2. -1008*sqrt(17) + 14982 Simplify ((sqrt(162) - -3*sqrt(162)) + 1 - (-4*(1 + sqrt(162)) + sqrt(162)))**2*5. 3150*sqrt(2) + 39815 Simplify (((-2*(sqrt(931) + -1) - sqrt(931)*1*-4) + 4)*4)**2. 2688*sqrt(19) + 60160 Simplify -5*-1*3*sqrt(19) + (-4*(2 + sqrt(304)))**2. 271*sqrt(19) + 4928 Simplify (-6*((sqrt(392)*1 - (-1 + (sqrt(8) - sqrt(32)))) + 3))**2. 4608*sqrt(2) + 19008 Simplify ((sqrt(320) + sqrt(320) + 0 + sqrt(320) + -2 + 1*sqrt(320)*2 + sqrt(320) + 4)*2)**2. 768*sqrt(5) + 46096 Simplify 1 + ((sqrt(102)/(sqrt(12)/sqrt(2)))**2 - (0 + sqrt(68)/sqrt(4))**2). 1 Simplify ((-3 + sqrt(275))*-1 + -1 - (6*(sqrt(275) + sqrt(275)*-2) + sqrt(275) + -2 + 1 + sqrt(275)))**2. 90*sqrt(11) + 2484 Simplify ((sqrt(405)*-2*4)**2 - (sqrt(405) - (sqrt(405) + 1 + 0))**2) + (-3 + 6*2*sqrt(405))**2. -648*sqrt(5) + 84248 Simplify (-3*1*sqrt(133))/(-1*sqrt(7)*1) - -6*(sqrt(1539) - (sqrt(1539)*1)**2*4). -36936 + 57*sqrt(19) Simplify -3*-5*(sqrt(162)*-2 + 5)**2. -2700*sqrt(2) + 10095 Simplify (-4*sqrt(396))/(sqrt(160)/sqrt(10)). -6*sqrt(11) Simplify (sqrt(40)/sqrt(10)*-1 + sqrt(4))/sqrt(882). 0 Simplify 4*((-1 + sqrt(152)/(sqrt(24)/sqrt(3)) - (1 + sqrt(304) + sqrt(304))*-2)*-6)**2. 4896*sqrt(19) + 790848 Simplify -5*(-6*((-3 + -3*sqrt(7) - sqrt(7)) + sqrt(7) + -5))**2. -22860 - 8640*sqrt(7) Simplify ((4 + (sqrt(325) - -1*sqrt(325)*2 - (sqrt(325) + sqrt(325) + -2 + -1)))*-3)**2. 630*sqrt(13) + 3366 Simplify 5 + sqrt(1900)*2 - (3*sqrt(57)/sqrt(3) - sqrt(76)*-2)**2. -926 + 20*sqrt(19) Simplify (sqrt(55)/(sqrt(30)/sqrt(6)) - (2 + sqrt(11))*-6) + 6*(0 + sqrt(539)) + -5. 7 + 49*sqrt(11) Simplify (sqrt(304) - (-1 + sqrt(304))) + -3 + 0 + 1. -1 Simplify (-1*(-4*sqrt(6) + sqrt(6)))/(sqrt(18)/sqrt(96) - sqrt(3)). -4*sqrt(2) Simplify -3 + -3 + (2*sqrt(567)*2*-5)**2*3. 680394 Simplify (-1*sqrt(114)*-3)/(-2*(-5*sqrt(6) - sqrt(6) - sqrt(6))). 3*sqrt(19)/14 Simplify (sqrt(104) + (-1*sqrt(104)*-1 + sqrt(104) - sqrt(104)))/(sqrt(2) + (sqrt(2) - (sqrt(288) - (sqrt(288) + (sqrt(288)*-2 - sqrt(288) - sqrt(288))))))*3. -6*sqrt(13)/23 Simplify (4*(sqrt(78) + (sqrt(78) - (sqrt(78) - (1*sqrt(78) + sqrt(78)))) + sqrt(78)))/sqrt(2904). 8*sqrt(13)/11 Simplify sqrt(700) + sqrt(700) + 1 + 3 + -2*sqrt(700) + 5 + 1 + -2*sqrt(700)*-5. 10 + 100*sqrt(7) Simplify (-6*(3*3*(0 + sqrt(252)) + (1 + sqrt(252)*-2 - sqrt(252)) + sqrt(252) + -1))**2. 444528 Simplify (2 + sqrt(84)/((sqrt(12) + sqrt(588))*-1))*4*-5. -40 + 5*sqrt(7)/2 Simplify ((sqrt(1500)*1 + sqrt(1500) + sqrt(1500) + sqrt(960)*-2)/(-2*-6*sqrt(12)*1))**2. 245/144 Simplify 1 + 4*(-2*sqrt(55))/sqrt(5) + ((sqrt(704) + 0)*-3 + sqrt(704) - (sqrt(704) + -1 + 2)). -32*sqrt(11) Simplify (sqrt(242) - ((0 + sqrt(242) - sqrt(242)) + -4)) + ((sqrt(216)/sqrt(4))/sqrt(3))/sqrt(9). 4 + 12*sqrt(2) Simplify (-5*(sqrt(64) + sqrt(64)*2 + sqrt(64)) - sqrt(64))/(sqrt(12)/(-1*sqrt(6)*-1)). -84*sqrt(2) Simplify (-5*sqrt(80) + 0 + (sqrt(5) + (sqrt(5) - (sqrt(60) + sqrt(180)/sqrt(3) + sqrt(60))/sqrt(12)) - (-1 + sqrt(5) + 0)))**2. -44*sqrt(5) + 2421 Simplify 1*5*(-3 + sqrt(11))**2 - (3 + 2*sqrt(11) + sqrt(11) + ((sqrt(88)/(2*sqrt(8)))**2 - sqrt(11))). -32*sqrt(11) + 377/4 Simplify -5*-6*(sqrt(300) + (sqrt(300) + sqrt(300)*2)**2*-5 - (1*sqrt(300) + 1 + sqrt(300))). -405030 - 300*sqrt(3) Simplify 1*-4*(5 + -2 + sqrt(76)). -8*sqrt(19) - 12 Simplify (-1*(-1*2*sqrt(1900) - (sqrt(1900) + -2*sqrt(1900) + 0)))**2. 1900 Simplify 0 + ((2 + (sqrt(832) + -1*sqrt(832) - sqrt(832) - sqrt(832))*3)*-3)**2. -1728*sqrt(13) + 269604 Simplify (4*((sqrt(242) - -6*sqrt(242)*3) + 3)*5)**2. 501600*sqrt(2) + 34948400 Simplify ((3*-2*sqrt(76))/(1*sqrt(400)))**2. 171/25 Simplify -1 + (sqrt(3) - ((sqrt(3) - sqrt(12)/sqrt(4)) + sqrt(3))) - (sqrt(12)*1)**2 - sqrt(18)/(sqrt(864) + (sqrt(864) - sqrt(864)*4 - sqrt(864))). -13 + sqrt(3)/36 Simplify (3 + 4 + 3*(-4 + sqrt(500)*-1))**2. 300*sqrt(5) + 4525 Simplify ((sqrt(48) + 4 + 2*sqrt(48) - 2*sqrt(768))*5)**2*5. -20000*sqrt(3) + 152000 Simplify sqrt(425) + 1 + sqrt(85)/(1*sqrt(5)) + sqrt(17) + (-1*(sqrt(119) - -3*sqrt(119)))/sqrt(7). 1 + 3*sqrt(17) Simplify -3 + 0 + -2 + sqrt(1584). -5 + 12*sqrt(11) Simplify 0 + (4*-1*sqrt(114) + (sqrt(114) + (sqrt(114) - (sqrt(114) - -2*sqrt(114))) - sqrt(114))*4)/(3*(sqrt(726) - -2*sqrt(726))). -4*sqrt(19)/33 Simplify -3*((6*sqrt(66)/sqrt(6))**2 + sqrt(11)) + sqrt(55)/(sqrt(35)/sqrt(7))*2. -1188 - sqrt(11) Simplify ((-4*(sqrt(13) + 1*sqrt(208)))**2 - (sqrt(1872) - (sqrt(1872) + -1*3*sqrt(1872) + sqrt(1872))))*5. -120*sqrt(13) + 26000 Simplify 2*-4*((sqrt(54)*2)/sqrt(3) - sqrt(18))*3. -72*sqrt(2) Simplify (sqrt(625) - (-1*sqrt(625) - sqrt(625)))/(sqrt(5) - -3*sqrt(40)/sqrt(8)) + -2. -2 + 15*sqrt(5)/4 Simplify -1 + (-3 + (0 + sqrt(704))**2 - ((sqrt(77)/sqrt(63))**2 - (sqrt(396)*-2)**2)). 20545/9 Simplify (-5 + ((-5 + 2*sqrt(76) - (sqrt(76) + 0 + sqrt(76) + sqrt(76))*5) + -2)*4)**2. 6864*sqrt(19) + 206593 Simplify ((-5*sqrt(125)*-2 - (sqrt(125)*2 + 1))*-2)**2. -320*sqrt(5) + 32004 Simplify (2 + (2*sqrt(72) + sqrt(72))*-3 + -3 + 0 + sqrt(72))**2. 96*sqrt(2) + 4609 Simplify 2*(3*(-3*(sqrt(170) - (sqrt(170) - sqrt(170)*-5))/sqrt(10) + -2))**2. -1080*sqrt(17) + 68922 Simplify ((3*-4*sqrt(550) + sqrt(550))/(5*sqrt(8)/sqrt(4) + sqrt(2) + (sqrt(50) - sqrt(450))))**2. 33275/16 Simplify -4*(sqrt(364)/sqrt(567))/(sqrt(324)*1)*3. -4*sqrt(13)/27 Simplify -3*2*(-4 + -1 + sqrt(48) - (sqrt(240)/sqrt(5) + 3)). 48 Simplify -1*(5*sqrt(1331) + sqrt(1331) + (sqrt(121)/(sqrt(11) - sqrt(1331)))**2 + -4). -66*sqrt(11) + 389/100 Simplify (-5*(-1 + sqrt(80) - sqrt(80))*1*5)**2. 625 Simplify (2*-4*(-2 + 1*sqrt(300) - 2*sqrt(300)*-3))**2. -17920*sqrt(3) + 941056 Simplify (sqrt(352)/(sqrt(512) + sqrt(512)*2 - sqrt(512)))/(4*(sqrt(4)*2 + sqrt(4) + sqrt(4)) - (-5*(sqrt(4) + sqrt(8)/sqrt(2)) + sqrt(4) + sqrt(4))). sqrt(11)/384 Simplify 4 + (3*sqrt(1024))/(-3*sqrt(800) + sqrt(8)). -24*sqrt(2)/29 + 4 Simplify ((sqrt(525) + (sqrt(525) - (sqrt(525) - (sqrt(525)*-1 - sqrt(525)))) + (sqrt(21) + sqrt(21)*1)*5)/(sqrt(63)*-1 - 1*sqrt(847)))**2. 75/196 Simplify (((sqrt(12)/sqrt(2) - sqrt(6))*4)/(sqrt(2) - (sqrt(2) + -2*sqrt(2)*2)) + 1 + -4)**2. 9 Simplify (((sqrt(2057) + sqrt(2057) + sqrt(2057) + -1)*1 - (sqrt(2057) + -2 + sqrt(2057) + 3))*-5)**2. -1100*sqrt(17) + 51525 Simplify (sqrt(76) + 3 - 1*sqrt(19)*4)**2 + -5 - ((1 + sqrt(684) + 1 - sqrt(684)) + 0 + 2*sqrt(684))**2. -2660 - 60*sqrt(19) Simplify -3*((-2 + 1 + sqrt(320) + sqrt(320))**2 - (sqrt(320) + 1 + 4)**2)*6*4. -67392 + 8064*sqrt(5) Simplify -1 + sqrt(17) + -1 + -1 + 5*(sqrt(425) - (sqrt(425) + 1 - sqrt(425)))**2. -49*sqrt(17) + 2127 Simplify (sqrt(33)/(sqrt(176) + sqrt(11)) + 0)**2 - (2 + sqrt(192)*-1)**2. -4897/25 + 32*sqrt(3) Simplify (5 + sqrt(77)/((sqrt(14)*-2)/sqrt(2)))*-3*6. -90 + 9*sqrt(11) Simplify ((1 + (1*sqrt(1573) + sqrt(1573))*2*4)*-3)**2. 3168*sq
{ "pile_set_name": "DM Mathematics" }
+ 2*g + 1 Suppose 0 = -4*q - 55 + 71. Let b be 1 - q/(-8)*10. Let y(n) = -4*n - 3. Let g(k) = -11*k - 9. Determine b*g(v) - 17*y(v). 2*v - 3 Let t(p) = 5*p + 5*p - 17*p**3 - 8*p + 37*p**3 - 15*p**3 + 6*p**2. Let s(y) = 2*y**3 + 3*y**2 + y. Give 7*s(c) - 3*t(c). -c**3 + 3*c**2 + c Let o(r) = 102212*r**3 + 253*r**2 + 253*r - 506. Let x(k) = 2024*k**3 + 5*k**2 + 5*k - 10. What is 5*o(g) - 253*x(g)? -1012*g**3 Let m(l) = -4*l - 1. Let i(o) be the first derivative of 5/2*o**2 + o + 17. What is -2*i(p) - 3*m(p)? 2*p + 1 Let o(z) = -z**3 + 2*z**2 + 9*z - 3. Let r(g) = 2*g**3 - 3*g**2 - 13*g + 4. Determine 7*o(t) + 5*r(t). 3*t**3 - t**2 - 2*t - 1 Let j(p) be the first derivative of -p**3/3 - 145. Let l(g) = -5*g**2. What is 42*j(x) - 6*l(x)? -12*x**2 Let d = -1107 - -1112. Let q(s) = -14*s**2 + 2*s + 4. Let c(b) = 7*b**2 - b - 2. Calculate d*c(y) + 3*q(y). -7*y**2 + y + 2 Let a(r) = -2*r + 6. Let x(i) = -i**3 + 4*i**2 + 3*i + 5. Let s be x(5). Suppose -f = 3*f - 36. Let w(h) = -f + 21 - 13. What is s*w(q) - a(q)? 2*q - 1 Let l(t) = -t**3 + t**2 - 1. Let b(n) = -4*n**3 + 8*n**2 - 8. Let c be 1*3/18 + 175/30. Suppose 0 = c*f + 9*f + 120. What is f*l(d) + b(d)? 4*d**3 Let o(s) = -122*s**3 + 5*s**2 + 5*s. Let k(v) = -v**3 - v**2 - v. Calculate 10*k(y) + 2*o(y). -254*y**3 Let q(j) = -j**3 - 8*j**2 - 28*j + 10. Let s(d) = 6*d**2 + 27*d - 8. What is -4*q(w) - 5*s(w)? 4*w**3 + 2*w**2 - 23*w Let s(z) be the third derivative of -z**5/60 - z**3/6 + 6*z**2. Let r(d) = -7*d**2 - 5. Let v = 206 - 203. What is v*r(b) - 15*s(b)? -6*b**2 Let g(o) = -1745*o**2 - 3. Let d(t) = 200680*t**2 + 346. Calculate -3*d(s) - 346*g(s). 1730*s**2 Let w(f) = -27*f**3 + 40*f**3 - 4*f**2 + 4 - 19*f**3 + 3*f. Let j(a) = -6*a**3 - 3*a**2 + 2*a + 3. Determine -4*j(h) + 3*w(h). 6*h**3 + h Let s(b) = -2*b**2 - 5*b. Let u = -16 - -25. Suppose -2*g = -0*g + 8. Let c(n) = 18*n**2 + 19*n**2 - 59*n**2 - 2*n + 21*n**2. What is g*s(a) + u*c(a)? -a**2 + 2*a Let w(m) = 38*m**2 + 11*m - 40. Let c(d) = -13*d**2 - 4*d + 14. Calculate -8*c(h) - 3*w(h). -10*h**2 - h + 8 Let c = -27 - -14. Let m(n) = -4*n**3 - 5*n + 8. Suppose -5*x + 22 = k, k + 2*x - 2 = 17. Let q(y) = y**3 - k + y**3 + 11*y + 7*y**3. What is c*m(h) - 6*q(h)? -2*h**3 - h - 2 Let x(j) be the third derivative of -j**4/24 - j**3/6 - 6*j**2 - 20. Let f(m) = -3*m**2 + 2*m + 6. Calculate -f(t) - 3*x(t). 3*t**2 + t - 3 Let b(s) = 11*s + 15. Let t(g) = 6*g + 8. Let z be -5 - 0 - (1 - 2). Let c(f) = z*b(f) + 7*t(f). Let a(l) = 2*l - 3 - 5*l + 2*l + 1. What is -5*a(r) + 2*c(r)? r + 2 Let t be (5/(-10))/((-1)/(-2)). Let d(s) = -4*s - 4. Let c(m) = -31*m + 68. Let w(p) = 7*p - 15. Let l(h) = -2*c(h) - 9*w(h). Calculate t*d(y) + 2*l(y). 2*y + 2 Let s be ((-4)/(2 + -6))/((-5)/20). Let r(b) be the first derivative of -b**3/3 - b**2/2 + b - 7. Let w(f) = -2*f**2 - 4*f + 5. Calculate s*r(g) + w(g). 2*g**2 + 1 Let p(l) = -l**3 + 3*l**2 - 3*l - 25. Let i(b) = -3*b**3 + 8*b**2 - 9*b - 74. Determine 3*i(x) - 8*p(x). -x**3 - 3*x - 22 Let k(w) be the third derivative of -w**6/30 + w**5/20 + 7*w**3/6 + w**2 + 208. Let a(u) = -2*u**3 + 2*u**2 + 3. Give 7*a(m) - 4*k(m). 2*m**3 + 2*m**2 - 7 Let j(v) = 6*v**3 + 14*v**2 + v. Let p(x) = 4*x**3 + 9*x**2 + x. Suppose 40*w + 43 + 157 = 0. Calculate w*j(o) + 8*p(o). 2*o**3 + 2*o**2 + 3*o Let f(h) = -h**3 + 6*h**2 + 5*h + 2. Let y(j) = -2*j**3 + 15*j**2 + 10*j + 5. Give -5*f(k) + 2*y(k). k**3 - 5*k Let z(j) = -6*j**3 - 9*j**2 + 9*j + 9. Let s(a) = a**3 + a**2 - a - 1. Let v = 450 + -454. Calculate v*z(u) - 36*s(u). -12*u**3 Suppose -4*d + 5 = -3*r, -2 = -4*r + 8*d - 7*d. Let n(a) = 5*a + 1. Let w(m) = m + 1. Calculate r*n(h) - w(h). 4*h Let z(y) = -10*y**2 - 4*y + 89. Let o(h) = -2*h**2 - h + 2. Calculate 6*o(j) - z(j). -2*j**2 - 2*j - 77 Let u(y) = 13*y**2 - 6*y - 2. Let v(r) = -64*r**2 + 30*r + 12. Calculate 11*u(n) + 2*v(n). 15*n**2 - 6*n + 2 Let r(z) = 4*z + 13 + 0*z + 0*z. Suppose -s - 5*o = -4*s + 1, 5*s - 3*o - 23 = 0. Let b(h) = -2*h + h - h - s. Calculate 11*b(f) + 6*r(f). 2*f + 1 Let d(x) = -8*x**2 + 9. Let p(w) = -w**2. Calculate -d(y) + 3*p(y). 5*y**2 - 9 Let w(j) = -9*j - 4. Suppose 5*i = -3 + 8. Suppose 3*z - 17 = i. Let t(y) be the first derivative of -y**2/2 - y - 178. Give z*t(q) - w(q). 3*q - 2 Let n(c) = -c + 22. Let y(r) = 2. Let h(t) = 29*t - 5. Let u(b) = -59*b + 10. Let v(x) = -5*h(x) - 2*u(x). Let j be v(1). Give j*y(p) + 2*n(p). -2*p Let k(w) = w**2 - 1. Let g(m) = 6*m**2 + 7*m + 1. Determine g(f) - 4*k(f). 2*f**2 + 7*f + 5 Let r(z) = -12*z - 7. Let i(w) = -35*w - 21. Let f be -6 - 3*4/(-12). Let t(j) = f*i(j) + 14*r(j). Let o(p) = 4*p + 4. What is -5*o(a) + 3*t(a)? a + 1 Let t(y) = y + 1. Let v(u) be the third derivative of -u**6/720 - 5*u**5/12 - u**2. Let d(g) be the third derivative of v(g). Calculate -4*d(o) - 3*t(o). -3*o + 1 Suppose -r - p = r, 2*r + 8 = p. Let c(a) = -a. Let v(h) = -5*h. Suppose 0 = 8*k - 3*k. Suppose k*f = -5*f + 55. Determine f*c(u) + r*v(u). -u Let d(v) = -4*v**3 + 4*v**2 - 5*v - 2. Let j(m) = -m**3 + m**2 - m - 1. Let f(h) = h. Let y be f(-1). Determine y*d(s) + 5*j(s). -s**3 + s**2 - 3 Let r(k) = 8*k - 135. Let m(o) = 2*o - 34. Give -9*m(i) + 2*r(i). -2*i + 36 Let y(i) = i**3 - 3*i + 3. Let w(v) = -6*v**3 + 22*v - 22. Let q be (-7)/(-2)*(1512/98)/(-9). Determine q*w(c) - 44*y(c). -8*c**3 Let g(t) = 10*t**3 - 61*t**2 + 5*t. Let v(q) = -11*q**3 + 65*q**2 - 6*q. Give 6*g(p) + 5*v(p). 5*p**3 - 41*p**2 Let q = 4 + 2. Suppose 0 = -q*i + 9 + 15. Let c(l) = -6*l. Let t(z) = 17*z. Give i*t(b) + 11*c(b). 2*b Let o(y) = -70*y**2 + 10*y + 7. Let d(a) = 72*a**2 - 12*a - 8. Determine -5*d(k) - 6*o(k). 60*k**2 - 2 Let j(v) = -40*v. Let n(h) = h. Suppose 20*c - 869 = -929. Calculate c*j(o) - 105*n(o). 15*o Let o(f) = f + 14*f + 5*f - 8. Let t(s) = s**2 + 10*s - 10. Let w be t(-14). Suppose 5*x + 24 = -w. Let v(i) = -7*i + 3. Give x*v(q) - 5*o(q). -2*q - 2 Let o(h) = 2*h**3 - h**2 - 99*h. Let v(d) = 2*d**3 - d**2 - 100*d. What is -3*o(j) + 4*v(j)? 2*j**3 - j**2 - 103*j Let n(s) = s - 3. Let y(h) = 5*h - 15. Calculate 12*n(x) - 3*y(x). -3*x + 9 Let n(u) = u - 9. Suppose -2*v + 32 = 2*v. Let d be n(v). Let i(o) = 1. Let b(g) = 5*g - g**2 - g**2 + 8*g - 12*g - 1. Give d*b(p) - i(p). 2*p**2 - p Let f(y) = -3*y**2 + 14. Let n(c) = c**2 - 16. Let l(a) = -5*f(a) - 4*n(a). Let u(b) = 100*b**2 - 55. Determine 55*l(k) - 6*u(k). 5*k**2 Let t(i) = -i + 10. Let q(s) = 43. Let l(h) = -7. Let w(c) = -6*l(c) - q(c). What is -t(a) - 5*w(a)? a - 5 Let z(g) = g**3 - 35*g**2 - 6*g - 10. Let u(q) = 2*q**3 - 71*q**2 - 13*q - 21. Give 6*u(t) - 13*z(t). -t**3 + 29*t**2 + 4 Let s(n) = -4*n**3 - 15*n**2 + 5*n - 1. Let w(u) = 5*u**3 + 23*u**2 - 8*u + 1. What is 8*s(j) + 5*w(j)? -7*j**3 - 5*j**2 - 3 Let p(a) = 5*a**2 + 5*a - 5. Let m(y) = 9*y**2 + 9*y - 9. Let v = -56 - -52. Determine v*m(n) + 7*p(n). -n**2 - n + 1 Let f(s) = -s**2 + 7*s - 4. Let z(d) = 2*d - 1. Let c(x) = -f(x) + 3*z(x). Let n(m) = 8*m**2 - m + 1. Give c(g) - n(g). -7*g**2 Let c(j) = 2*j + 3. Let w(n) = 2*n + 3. Let r(f) = -6*c(f) + 5*w(f). Suppose 38*k - 211 = -21. Let g(b) = 3*b + 4. Determine k*g(s) + 7*r(s). s - 1 Let y(n) = -191*n**3 - n**2 + 1. Let c(w) = w**3 - w**2 + 1. What is c(i) - y(i)? 192*i**3 Suppose 0 = -2*c - 3*f + 1, 3*f = c - 4*c. Let h(g) = -g + 1. Let n(s) = 17*s**2 + 102*s - 102. What is c*n(y) - 102*h(y)? -17*y**2 Let t(x) = -39*x. Let h(d) = 47*d. Let s(a) = -5*h(a) - 6*t(a). Let c(f) = -f**2 + 6*f. Suppose -2*q + q + 5 = 0. Give q*c(j) + 30*s(j). -5*j**2 Let i(g) = 28*g**2 + 4*g + 15. Let f(u) = 84*u**2 + 11*u + 40. Give -4*f(q) + 11*i(q). -28*q**2 + 5 Let l(f) = 17*f**3 - 11*f**2 + 8*f - 11. Let x(b) = -9*b**3 + 6*b**2 - 4*b + 6. Determine -6*l(s) - 11*x(s). -3*s**3 - 4*s Let i(v) = 2*v**2 - v + 3 - v**2 + 0 - 2. Let f(r) = -4*r**2 + 7*r. What is f(w) + 5*i(w)? w**2 + 2*w + 5 Let j(q) = 268*q**2 - 5*q - 10. Let k(z) = 134*z**2 - 3*z - 6. Calculate -6*j(l) + 10*k(l). -268*l**2 Suppose 28 = -3*d - 5. Suppose -f - 43 = -2*h - 2*h, 4*h - 23 = 5*f. Let i = d + h. Let x(o) = -1. Let q(n) = 2*n**3 - 5. What is i*q(r) - 5*x(r)? 2*r**3 Let f(p) be the second derivative of -1/3*p**3 + 0 - 34*p - p**2 + 5/12*p**4. Let t(v) = 51*v**2 - 21*v - 21. Calculate -21*f(h) + 2*t(h). -3*h**2 Let g(w) = w**3 - 6*w**2 + w - 2. Let j be
{ "pile_set_name": "DM Mathematics" }
*q + 1374 + 5210*q)*(4 - 4 - 2)*(-3 + 3 + 2)*(-2*q - q + q) to m + b*q**2 + p*q and give b. 16 Express 8 + 4 + w**2 + 483*w + 1 - 15 - 1 as v + s*w**2 + a*w and give s. 1 Rearrange 17*g**2 - 25 + 8*g**2 + 16*g**2 + 3*g**2 - 38*g**2 - 8*g**3 to m*g**3 + b*g + d*g**2 + s and give m. -8 Express -1 - 34*b**3 - 1 + 2*b + 0*b**4 + b**4 - 2*b**4 + 291*b**3 in the form s + i*b + t*b**4 + a*b**2 + d*b**3 and give s. -2 Express (8141*x - 28 - 24 - 2978*x + 22580*x + 52)*(2 + 13 - 5) in the form z*x + l and give z. 277430 Express 3 - 2*l**4 - 3 + (11*l - 2*l**3 - 11*l)*(0 - 3 - 3)*(3*l - 12*l + 2*l + 5)*(0 + 4 - 1)*(1 + 4 - 6) as t*l + j*l**2 + m + r*l**4 + v*l**3 and give r. 250 Rearrange -5*v**2 - 20204 - 4*v**2 + 2*v**2 + 16392 + 13*v**2 to the form t*v + d + z*v**2 and give d. -3812 Express (7 - 21*b - 11*b - 6)*(-190 - 13*b + 190) in the form j*b + f + k*b**2 and give j. -13 Express (3 - 1 + 0)*(216*l + 89*l + 572*l) in the form t + z*l and give z. 1754 Express 361*l + 368*l + 358*l - 1089*l - 251 as b + x*l and give b. -251 Rearrange (-4873*p**2 + 4873*p**2 + 16*p**4 + 8)*(4 - 4 + 2 + (0 - 1 + 5)*(0 + 5 - 3)) to the form x*p + d*p**4 + w*p**2 + b + v*p**3 and give d. 160 Rearrange 170*l + 24 - 172*l + 42*l**4 - 9*l**4 - 210 to the form x*l**2 + b*l + f*l**3 + y + m*l**4 and give m. 33 Rearrange (-4 + 4 + b**2)*(-b**2 + 2*b**2 + 0*b**2) + 1914*b**4 + 119266729*b**3 - 119266729*b**3 to y*b**2 + k*b + f*b**4 + p + i*b**3 and give f. 1915 Express -6*o**2 + 3*o**2 - 17 - o - 6 + 9*o**3 - 11 + 5*o**2 as b*o**2 + f*o + h*o**3 + v and give f. -1 Express 0 + 0 + c**2 - 761*c**3 - 3219*c**3 as m*c**3 + t + j*c**2 + d*c and give m. -3980 Rearrange 18*k**2 - 946*k - 51*k - 31*k**2 + 2*k**3 - 495*k + 15*k**2 to q + c*k**2 + u*k + b*k**3 and give u. -1492 Rearrange 5*j**3 + j**2 - 2*j**3 - 2*j + 63236 - 63237 to the form o*j**3 + t*j**2 + s + z*j and give z. -2 Rearrange -2*z - 16 - 2*z**2 + 13 + z + 17 + 3*z - 5*z**3 to g*z + h + j*z**2 + d*z**3 and give d. -5 Rearrange (455 - 152 + 51)*(-7*t - 7*t + 0*t) to l + g*t and give g. -4956 Rearrange -477*o**3 - 1718*o - 30*o**2 + 49*o**2 - 21*o**2 - 6 + 476*o**3 to the form j + a*o**3 + m*o**2 + n*o and give a. -1 Express (-h + 4*h + 0*h)*(-3 + 3 + 2)*(1 + 0 + 2)*(-1 - 8 + 44) + (-1 - 4 - 3)*(-4*h + 4*h + h) as w*h + i and give w. 622 Rearrange 20132*t - 20135*t + 1175*t**2 - 5450*t**2 + 2 to x*t + o*t**2 + q and give x. -3 Rearrange 20*q**3 + 28*q**3 + 21*q**3 - 88*q**3 + 160 + 26*q**3 to the form l*q**3 + t*q**2 + r + o*q and give l. 7 Rearrange (-2*d - 19 - d + 28)*(-11 + 11 - 13*d**3) to the form o*d**2 + u*d + m*d**4 + k + w*d**3 and give m. 39 Rearrange (223*x - 3040*x + 50*x - 806*x)*(4 + 4 + 6) to the form w*x + d and give w. -50022 Rearrange (-11 - 4 + 13)*(16 + 53 - 10)*(2*h - 2 + 2)*(-1 - 2 + 7) to the form y + c*h and give c. -944 Express (2*c**2 + 0*c + 0*c)*(4 - 5 + 9)*(25*c + 15*c + 85*c) in the form s + n*c**3 + v*c + k*c**2 and give n. 2000 Express 7990 + 8614*u**2 - 4308*u**2 - 4308*u**2 in the form w*u**2 + f*u + b and give w. -2 Express 3*z**3 - 296*z**4 + 540*z**4 - 345*z**4 + 4 - 5 - z**3 in the form u*z**3 + x*z**2 + o*z + y + a*z**4 and give u. 2 Rearrange (931 - 931 + 92*s)*(4*s**2 + 2 - 2) + (2*s**3 + 2*s**3 - 3*s**3)*(0 + 1 - 3) to z*s**2 + n*s + w + o*s**3 and give o. 366 Rearrange (64*u + 60*u + 40*u - 20*u)*(-7 + 3 + 1 + 1 + 0 + 1 + 11 + 1 - 3 + (5 - 4 + 1)*(-1 + 1 + 1)) to the form f + n*u and give n. 1440 Rearrange -25*a - 16*a**3 + 25*a + 3*a**4 + (170*a**3 - 291*a**3 + 167*a**3)*(a + a - 4*a) to the form y*a**2 + f + t*a**3 + g*a**4 + p*a and give p. 0 Express (-3 + 1 + 1)*(4 - 4 - 4*m + (6 - 6 - 12)*(-2*m - m - 4*m)) in the form u*m + i and give u. -80 Rearrange (3119 - 307*s + 619*s - 311*s)*(6 - 1 - 7) to the form w*s + j and give w. -2 Express (-6 + 4 + 10)*(-328 + 201 + 210 + (-1 - 1 + 4)*(3 - 5 + 4) + 0 + 0 - 1)*(-6 + 6 + 7*v) in the form t*v + n and give t. 4816 Express 39 - 92 - 8*j**2 + 56 + 109*j**2 as f*j + b*j**2 + r and give r. 3 Rearrange (-2*w**2 - 5 + 5)*(-1 + 0 + 0 + (1 - 5 + 2)*(1 - 3 + 4) + 53 + 1 + 8)*((-2 + 2 - 4)*(0 + 2 - 1) - 5 - 3 + 3) to r*w**2 + c*w + d and give r. 1026 Rearrange 3*u**4 - 3*u**4 - 4*u**4 + (-u + u - u**4)*(-1 + 0 + 0) - 214 - 10*u**4 + 214 to d*u**4 + y*u**3 + q*u + w*u**2 + z and give d. -13 Express -q**2 - 25*q - 7*q**2 - 64*q - q**2 - 2*q**2 as c + i*q + z*q**2 and give z. -11 Rearrange 984*q + 984*q - 138*q**2 - 2940*q + 979*q - 58*q**2 to the form o*q**2 + w + v*q and give v. 7 Rearrange ((4*d + 0*d - 2*d)*(0 - 6 - 8) + (-2 + 7 + 3)*(0*d + 3*d - d))*(2*d + 2*d - 5*d) to the form w*d**2 + u*d + k and give w. 12 Rearrange 41 + 1146*m - 634*m - 563*m - 50 to g*m + u and give g. -51 Rearrange -1 - 256*a - 154*a - 455*a - 294*a to p*a + c and give c. -1 Express (25*d - 27*d - 19 + 13*d)*(-119*d - 73 + 73) in the form n*d**2 + o + m*d and give n. -1309 Rearrange (115 - 115 + 3*u)*(-934 + 1876 - 941 + 566*u**2) to d*u**2 + m + p*u**3 + i*u and give i. 3 Rearrange 1511856 + 5919*s - 1511856 to z + q*s and give q. 5919 Express 344*d - 1137*d + 553*d in the form r*d + m and give r. -240 Express -19*d**4 - 1600*d + 10*d**3 + 1598*d - 98*d**3 - 23*d**3 - d**3 as o*d**2 + h*d + r*d**4 + m + a*d**3 and give h. -2 Express (97 - 68*p**2 - 97)*(15187 - p**2 + 3*p**2 - 15191 - 20*p) in the form b*p**2 + l*p**3 + i + g*p + y*p**4 and give l. 1360 Express (-g + 0*g - 10*g)*(-2895 + 786 - 3055)*(g + 0*g - 2*g) in the form d + l*g + n*g**2 and give n. -56804 Rearrange -130 - 98 - 14159*p + 355 - 127 to the form w + c*p and give c. -14159 Express -4*x + 8*x - 688*x**2 + 660*x**2 as w*x**2 + r*x + n and give r. 4 Rearrange 16908 - 4629*x - 16908 to the form n*x + q and give n. -4629 Express -m**2 - 35 - 17 - m**4 - 100*m**3 + 49*m**3 + 17 in the form s*m**3 + b + t*m**4 + l*m + p*m**2 and give b. -35 Rearrange 26 - k**2 + 27 + 68*k**3 - 84 + 30 to n*k + z + d*k**2 + j*k**3 and give j. 68 Rearrange -37*y + 129*y + 53*y to d*y + t and give d. 145 Rearrange -18015*n - 6472*n + 4961*n to the form p + b*n and give p. 0 Express -13*t**2 - 23*t**2 - 10*t**2 + 18*t**2 - t - 2 - 14*t**3 as w*t**3 + a + i*t**2 + j*t and give a. -2 Rearrange 535*q**3 + 390*q**2 + 3 + 0 - 390*q**2 to b*q**3 + l*q + n + v*q**2 and give n. 3 Express (440 + 500 - 1026)*(6*u - 6*u - 18*u) in the form w + g*u and give g. 1548 Rearrange -413201 - 14*l - 272*l**2 + 413201 - 6*l to the form b*l + i + s*l**2 and give s. -272 Rearrange (-5*q**2 + 5*q**2 + 6*q**2)*(-2 - 2 + 3) + (2599 - 11*q - 5185 + 2590)*(-5*q - 3*q + 5*q) to i*q**2 + v*q + h and give i. 27 Rearrange 3*d**3 - d + 11*d**2 + 42*d**2 - 94*d**2 to the form f*d**2 + x*d + j + z*d**3 and give z. 3 Express -5589*v - 4 - 2324*v**2 + 4 + 5589*v in the form g*v**2 + f + p*v and give g. -2324 Rearrange 13*a**3 - 3*a**3 - 2*a - 7*a**3 - 5 + 12*a**3 to the form k + c*a**2 + r*a + q*a**3 and give r. -2 Rearrange -4*f**3 + 6*f**3 + 14 - 14 + 2*f**4 + 65*f to the form d*f**2 + v*f**4 + m + s*f**3 + k*f and give k. 65 Express (0*u + 5*u + 3*u)*(u - 2*u + 4*u + (2 + 2 - 2)*(13*u + 13*u - 13*u)) as g*u**2 + k*u + y and give g. 232 Rearrange -526*y**2 - 217*y**2 + 12305 - 12294 to w + z*y + h*y**2 and give h. -743 Express -32*l + 10*l - 30*l + 45*l - l**2 - 1042*l**3 in the form t + m*l**3 + a*l + h*l**2 and give h. -1 Express 2204*r**3 + 0*r**2 + 0*r**2 + 1 - 11*r**2 - 2225*r**3 - 4 in the form k + v*r**3 + d*r**2 + p*r and give v. -21 Rearrange 2 + 1045824*c**2 + 3*c - 1045351*c**2 - 3*c to b*c**2 + g + j*c and give b. 473 Express 47 - 142 - w**2 + 59*w - 4*w**2 + 47 + 46 as p*w + b + g*w**2 and give g. -5 Express (29 - 1 + 43)*(9 + 6*d - 9)*(0*d**2 + 3*d**2 - 7*d**2) as j*d**3 + y + t*d**2 + w*d and give j. -1704 Express (-2 - 1 + 1)*(-4 + t**2 + 4) - 51751 + 51751 + 312*t - 12*t**2 as r*t + v*t**2 + u and give v. -14 Express 52*c**2 - 22*c**3 + 29*c**3 + 2 + 8*c**2 + 75*c - 58*c**2 as t*c**3 + n*c + x + q*c**2 and give q. 2 Rearrange 1661 - 3390 - 1850*m + 1731 to s + c*m and give c. -1850 Express 0*q - 3*q + q + (-2*q + 3*q - 3*q)*(0 - 2 + 3) + (71*q + 120*q - 265*q)*(4 - 11 + 20) as n*q + c and give n. -966 Express 211*a**2 - 3326*a - 658*a**2 + 216*a**2 + 229*a**2 as w + p*a + k*a**2 and give k. -2 Rearrange 97 - 19 - 929*i**2 - 33 - 22 -
{ "pile_set_name": "DM Mathematics" }
divided by 10. 9 Let n(s) = 6*s**3 + s**2 + 2*s + 1. Suppose -10 = 2*o - 7*o. What is the remainder when n(o) is divided by 15? 12 Calculate the remainder when 50 is divided by 1/2 + 210/12. 14 Let r be ((-5)/(-2))/(2/(-12)). Let t = -5 - r. Suppose 6*d - 12 = 4*d. What is the remainder when t is divided by d? 4 Let k(b) = b**3 + 4*b**2 + 8*b + 2. Calculate the remainder when k(5) is divided by 68. 63 Suppose 5*z = 4*y - 0*z + 25, 5*y + 3*z - 15 = 0. Suppose y = 5*h + 6 - 21. Suppose -17 + 80 = h*b. Calculate the remainder when b is divided by 11. 10 Suppose -5*d + 4*y + 19 = 3*y, 3*d - 10 = 2*y. What is the remainder when 6 is divided by d? 2 Suppose -5*w - g + 31 = -4*w, 0 = 2*g. Suppose 9 = -l + w. Calculate the remainder when l is divided by 12. 10 What is the remainder when 36 + -3*(-4)/12 is divided by 136/14 + 4/14? 7 Let d = -36 + 58. Suppose 3*r = 26 + d. Calculate the remainder when 45 is divided by r. 13 Let p(r) = r**2 + r - 6. Calculate the remainder when 66 is divided by p(5). 18 Suppose -2*y = -0*y. Let l = 0 + y. Suppose 2*d - 6 = -l*d. Calculate the remainder when 4 is divided by d. 1 Let i = -6 + 2. Let u(k) = -k**2 - 6*k - 6. Suppose -4*x = -16 - 8. What is the remainder when x is divided by u(i)? 0 Let k = 16 + -11. What is the remainder when 8 is divided by k? 3 Let z = 13 - 4. Suppose c = 4*o - 71, 25 = 5*o - 4*c - 72. What is the remainder when o is divided by z? 8 Suppose 0*n + 99 = -5*j - n, 4*n + 56 = -3*j. What is the remainder when 8 is divided by (-105)/j - 2/8? 3 Suppose 0*b = -3*b + 15. What is the remainder when b is divided by 4/(-6)*18/(-4)? 2 Let z(o) = 5*o - 1. Let q(w) = w**2 - 6*w + 7. Let r be q(5). Calculate the remainder when 35 is divided by z(r). 8 Let i = -1 + 6. Suppose 4*a + t - 136 = -28, -4*t = -2*a + 54. Suppose -80 = -3*n + i*f + 11, n - a = f. Calculate the remainder when n is divided by 12. 10 Let r = -8 + 7. Calculate the remainder when 1 is divided by r + 0/(-4) + 2. 0 Let k(q) = 24*q**3 - q + 1. Let i be k(1). Let n = -3 + i. Suppose 4*h = 5*y - 309, y - 2*h = -3*y + 246. Calculate the remainder when y is divided by n. 19 Suppose -2*s - 21 = -5*s. Calculate the remainder when s is divided by 2. 1 Let s = 89 + -63. Calculate the remainder when s is divided by 9. 8 Suppose w = 52 + 11. Suppose -5*s + 2 = -w. What is the remainder when 25 is divided by s? 12 Suppose 0 = 5*n - 2*f + 234, n = -3*n - 3*f - 201. Let x be 6/(-2 + 0) + n. Let d = 95 + x. What is the remainder when d is divided by 15? 14 Calculate the remainder when ((-24)/5)/(3/(-20)) is divided by 11. 10 Calculate the remainder when 52 is divided by 2/10 + 345/25. 10 Let n be (-1)/(-5) - 1/5. Let y = 0 - n. Suppose i - 8 = -y*i. Calculate the remainder when 14 is divided by i. 6 Suppose -107 = 15*p - 902. What is the remainder when p is divided by 28? 25 Suppose -3*j + 4*i + 63 = 0, 2*i - 4*i = 0. Let t = j + -13. Suppose -3*v - 4*l + 57 = 0, -l - 51 = -4*v + 2*l. Calculate the remainder when v is divided by t. 7 Suppose -3*i + 94 = 4*t, -4 = 4*i + 4. Suppose 0 = 2*g - g - t. Let j(w) = w**2 + 5*w - 7. What is the remainder when g is divided by j(-7)? 4 Suppose 188 = 5*q - 2*f, 0 = -3*q - 2*f - 0*f + 100. What is the remainder when q is divided by 16? 4 Let r(v) be the third derivative of -v**4/4 - v**3/3 + 3*v**2. What is the remainder when 18 is divided by r(-2)? 8 Calculate the remainder when 9 is divided by 5 + 4 + -2*3. 0 Let u(f) = -f**2 + 15. Let n be u(0). Let m = n - -1. What is the remainder when m is divided by 6? 4 Let b(x) = x**3 + 10*x**2 + 6*x - 22. Suppose 2*y = -y + 6. Calculate the remainder when 21/(y + 3/(-6)) is divided by b(-9). 4 Let x(n) = -n**3 - 2*n**2 + 4*n - 1. Let f be x(-3). Let o = 4 + f. Let p(h) = h**3 + h**2 + h + 37. What is the remainder when p(o) is divided by 19? 18 Let o = 6 + -5. Let q(d) = 3 - 3 - 9*d**2 + d**3 - o - 2 + d. Calculate the remainder when 10 is divided by q(9). 4 Let q be (13 - 3)*(-2)/2. Let w(j) = j**3 + 11*j**2 + 11*j + 12. Calculate the remainder when w(q) is divided by 2. 0 Suppose 6*f + 13*f = 2071. Calculate the remainder when f is divided by 38. 33 Let a(n) = -n + 5*n + 3 - n + 3. Calculate the remainder when a(10) is divided by 13. 10 Let x(n) = 4*n**2 + 5*n - 5. What is the remainder when x(2) is divided by 11? 10 Let x(z) = -3*z + 1. Let h be x(2). Let i(n) = -n**3 - 3*n**2 + 5*n + 3. Let a = -8 + 18. Calculate the remainder when i(h) is divided by a. 8 Let m be (156/(-15))/(4/(-10)). Suppose c = m + 13. Calculate the remainder when c is divided by 21. 18 Suppose 5*f = -b + 15, -2*b - 4*f = -f - 37. Let h(w) = w**2 - 5*w + 1. Let z be h(4). What is the remainder when (-175)/z + 5/(-15) is divided by b? 18 Suppose 5*h + z = 5, 0 = -2*h - 4*z + 12 - 28. What is the remainder when (12 - h) + 0 + 1 is divided by 7? 4 Let x(g) = g + 10. Let v be x(-5). Suppose 0*b + v*b - 60 = 0. Calculate the remainder when 34 is divided by b. 10 Suppose 5*p - 2*p - 46 = -5*s, -5*p + 7 = 2*s. Calculate the remainder when -1*(1 + -33) + -2 is divided by s. 8 Let n = 33 - 20. Let m = 23 - n. Calculate the remainder when 27 is divided by m. 7 Suppose -321 + 41 = -5*s + 5*k, -4*k = 5*s - 235. What is the remainder when 100 is divided by s? 49 Suppose -3*r + 25 = n - 12, -5*r + 127 = 4*n. What is the remainder when n is divided by 12? 4 Let q = -7 + 24. What is the remainder when 33 is divided by q? 16 Suppose 6 = 3*s, -2*b + 30 = -0*s + 4*s. Calculate the remainder when 52 is divided by b. 8 Let b(u) = 17*u + 1. Let i = -36 - -49. What is the remainder when b(2) is divided by i? 9 Suppose 5*h = 4*h + 52. Suppose 3*a = -5*r + 130, 5*r = -a + h + 78. Calculate the remainder when r is divided by 14. 12 What is the remainder when 11 is divided by ((-91)/(-28))/13 + 11/4? 2 Suppose -2*g = 4*i - 20, -4*i - 10 = -4*g - 2*i. Let w(l) = -l**3 + 4*l**2 + 2*l + 4. What is the remainder when w(g) is divided by 2 + -3 - -2*4? 5 Suppose -b - 3*b = -3*z - 21, 0 = 5*z + 15. Suppose -s - 4*p = -14, 0 = -5*s + 2*s + 3*p - b. Calculate the remainder when s is divided by 1. 0 Suppose d = -5*u + 36, 3*d + 3*u = -2*u + 78. Let w = -15 + 26. What is the remainder when d is divided by w? 10 Let p(f) = f**2 + f + 6. Let q be p(0). Let w(m) = 5*m - 4. Suppose 9*j - 50 = 31. Calculate the remainder when w(q) is divided by j. 8 Suppose 3 - 47 = -4*g. Suppose 4*t - 96 = t. What is the remainder when t is divided by g? 10 Let x be ((-69)/2)/((-2)/4). Suppose s + 2*s + 138 = 0. Let b = x + s. Calculate the remainder when 45 is divided by b. 22 Suppose 4*m + 20 + 28 = 4*a, a + 4*m = 27. What is the remainder when a is divided by 6? 3 Let k(s) = -s**3 + 5*s**2 - 4. Let o = 6 - 13. Calculate the remainder when -6*o/((-28)/(-30)) is divided by k(4). 9 Let m be (2/4)/(2/92). Let r = 32 - m. What is the remainder when 16 is divided by r? 7 Let l(o) = o**3 - 2*o**2 + o + 1. Let v be l(2). Suppose 5*q = 2*a - v*a + 31, 3*q = 4*a + 37. Calculate the remainder when 12 is divided by q. 5 Let m = 17 + -10. Let u(v) = -v**3 + 8*v**2 - 5*v + 1. Let c be u(m). What is the remainder when (-4)/10 - (-336)/c is divided by 8? 6 Let t = 3 - 3. What is the remainder when (1 - t) + 1 + 16 is divided by 7? 4 Let n(o) = 10*o - 5. What is the remainder when n(3) is divided by 13? 12 Let w(l) = -3*l**2 - 21*l - 17. Calculate the remainder when (3*3)/((-1)/(-6)) is divided by w(-4). 16 Let b be -1 - -4 - (37 + 1). Let a = b - -50. What is the remainder when a is divided by 8? 7 Suppose -5*k - 28 - 200 = -4*m, -k - 212 = -4*m. What is the remainder when m is divided by 27? 25 Suppose 0 = 12*l - 277 - 359. What is the remainder when l is divided by 28? 25 Let b be 70/20*(3 - 1). Let w = 13 - b. What is the remainder when w is divided by 3? 0 Let c = -4 - -6. Suppose 3*v - 7 = -s, -c*v = -3*s - 3*v + 29. What is the remainder when 28 is divided by s? 8 Suppose -t = -2*p + 29, -2*t + 46 = 3*p + p. Let i(a) = a**2 - 13*a + 3. Suppose 0 = -z + 5. Calculate the remainder when z is divided by i(p). 2 Suppose y + 0*y - 14 = -4*d, 4*y - 2*d = -16. Let k be -38 + -3 + (-10)/y. Calculate the remainder when (-1 + k - -3)/(-2) is divided by 9. 8 What is the remainder when (2646/24 - 6) + 3/4 is divided by 12? 9 Let p(q) = q**3 + 10*q**2 + 4*q - 7. What is
{ "pile_set_name": "DM Mathematics" }
et x(i) = -2*o(i) + 5*s(i). Calculate t(x(r)). 4*r**2 + 72*r Let h(o) = 9*o. Let m(y) = 138*y + 7. Let k(q) = -905*q - 42. Let t(r) = -2*k(r) - 13*m(r). Give h(t(a)). 144*a - 63 Let r(p) = -13*p - 13. Let b(z) = -6*z - 6. Let t(q) = -9*b(q) + 4*r(q). Let y(n) = 2356*n. Let k(h) = -1963*h. Let w(l) = 6*k(l) + 5*y(l). What is w(t(u))? 4*u + 4 Let g(y) = -2*y + 53. Let u(z) = 15*z + 364061 - 182028 - 182033. What is u(g(s))? -30*s + 795 Let s(k) be the first derivative of -1/2*k**2 - 88 + 0*k. Let c(q) = -3*q + 24. Determine c(s(v)). 3*v + 24 Let c(q) = -q. Let s(r) be the third derivative of 25/12*r**4 - 1/6*r**3 + 261 - 2*r**2 + 0*r. What is s(c(d))? -50*d - 1 Let d(m) = -2*m. Let l = 1834 - 1814. Suppose 0*g - 6 = -3*g. Let f(x) = -24*x**2 + l*x**g + 2*x**2 - 25*x**2. What is f(d(j))? -108*j**2 Let k(o) = -20*o**2. Suppose 372 = 4*x + 3*q, -x + 2*x - 3*q - 78 = 0. Let w(d) = x*d - 90*d + d**2 - 2*d**2. Determine w(k(v)). -400*v**4 Let q(z) = -10*z**2 + 97*z**2 - 46*z**2 - 38*z**2. Let p(b) be the first derivative of 37*b**3/3 - 2. Give q(p(t)). 4107*t**4 Let a(k) = 817551*k. Let t(m) = 28*m. Give t(a(q)). 22891428*q Let k(g) be the first derivative of -8*g**3/3 + 502. Let a(z) = -z. Let j(p) = -p. Suppose -d = -1 + 2. Let c(l) = d*a(l) - j(l). What is c(k(o))? -16*o**2 Let p(v) = 1148*v**2 + 21*v - 2. Let n(w) = -277*w**2. Give p(n(k)). 88084892*k**4 - 5817*k**2 - 2 Let c(r) = -2*r**2 + 9*r + 124. Let b(o) = -3339*o. What is b(c(q))? 6678*q**2 - 30051*q - 414036 Let z(c) = 137*c. Let a(v) be the third derivative of 13*v**4/8 + v**3/3 - 10548*v**2. What is a(z(l))? 5343*l + 2 Suppose -1112*l = -1149*l. Let k(d) be the third derivative of l - 3/8*d**4 + 0*d + 17*d**2 + 0*d**3. Let t(v) = v. Calculate t(k(r)). -9*r Let p(l) be the second derivative of 7*l**3/3 + 145*l. Let k(z) be the first derivative of 5*z**2/2 - 248. Give p(k(y)). 70*y Let i(x) = 5*x**2. Let s(h) = 36498*h. Give s(i(a)). 182490*a**2 Let w(a) = -935715*a**2. Let s(o) = -343*o. What is s(w(d))? 320950245*d**2 Let g(m) = 3786908*m**2. Let s(d) = 14*d. Calculate g(s(l)). 742233968*l**2 Let v(n) be the first derivative of -n**3 - 14. Let x(m) = -13*m + 4. Let u(z) = 2*z - 1. Let p(w) = -6*u(w) - 2*x(w). Give v(p(y)). -588*y**2 + 168*y - 12 Let f(h) be the third derivative of -1 - 2*h**2 - 1/30*h**5 + 0*h + 0*h**4 + 0*h**3. Let w(c) = -145*c. What is w(f(v))? 290*v**2 Let g(k) = -758*k. Let n(c) = -817*c. What is n(g(p))? 619286*p Let c(l) = -l. Let i(q) be the second derivative of 485*q**4 + 3326*q. What is i(c(z))? 5820*z**2 Let i(l) = -3*l**2 + 245*l. Let d(y) = 37*y - 48. Let t(k) = -14*k + 18. Let x(n) = 3*d(n) + 8*t(n). What is i(x(b))? -3*b**2 - 245*b Let c(q) = -5*q**2. Let o(x) = 2. Let m(i) = -i - 2. Let k(y) = 3*m(y) + 4*o(y). Let g(r) = 6*r - 5. Let p(v) = -6*g(v) - 15*k(v). Give p(c(a)). -45*a**2 Let a(x) = 8652*x**2 - 66*x - 5. Let d(k) = k**2. Calculate a(d(r)). 8652*r**4 - 66*r**2 - 5 Let b(s) = 180*s**2. Let v(h) = -1100*h**2 - 1110*h**2 + 2202*h**2. Calculate v(b(l)). -259200*l**4 Let c(m) = 1226*m**2 - 3339*m**2 + 3244*m**2 - 8749*m**2 - 13847*m**2. Let d(p) = -p**2. Calculate c(d(i)). -21465*i**4 Let b(c) = 196 + 12*c**2 + 55 - 8*c**2 + 414. Let h(u) = u. Give h(b(j)). 4*j**2 + 665 Let j(r) be the first derivative of -9*r**2/2 + 2. Suppose p = -3*s + 9, 0 = 4*s - 7*s - 2*p + 12. Let f(y) = -819*y - s*y**2 + 819*y. What is j(f(o))? 18*o**2 Let b(n) = -6709*n - 30. Let j(y) = -84439500*y - 377575. Let w(k) = 75515*b(k) - 6*j(k). Let u(a) = -a**2. Calculate u(w(r)). -47128225*r**2 Let v(t) = 6*t**2. Let a(s) = -s + 2. Let l(p) be the third derivative of 2*p**4/3 - 4*p**3 + 44*p**2 - 1. Let x(w) = 24*a(w) + 2*l(w). What is x(v(y))? 48*y**2 Let w(l) = 621*l. Let q(b) = 3*b**2 + 5*b + 1736. Give w(q(n)). 1863*n**2 + 3105*n + 1078056 Let y(h) = -22*h**2 - 2. Let w(v) = v**2 - 18724*v. What is w(y(j))? 484*j**4 + 412016*j**2 + 37452 Let y(c) be the second derivative of 0*c**2 + 0 + 148*c - 11/6*c**3. Let n(w) = 7*w. Determine n(y(p)). -77*p Let x(y) = 204*y. Let c(v) = -17*v - 24. Let j(w) = -325*w - 460. Let g(p) = -115*c(p) + 6*j(p). Calculate x(g(i)). 1020*i Let j(c) = -24*c. Let n(i) = -3163 - 3154 + 6344 - 2*i. Determine j(n(t)). 48*t - 648 Let n(t) = 5*t**2. Let j(s) = -2744126*s**2. What is j(n(h))? -68603150*h**4 Let j(s) = 2*s. Let m(n) = n + 35528. Determine j(m(z)). 2*z + 71056 Let s(k) be the first derivative of -2*k**3/3 - 33*k - 5455. Let l(b) = 23*b**2. Give s(l(c)). -1058*c**4 - 33 Let u(d) = 1405*d**2. Let f(i) = 73*i**2 - 1068. Give f(u(y)). 144103825*y**4 - 1068 Let a(g) = -g**3 - 10*g**2 - 28*g - 7. Let f be a(-5). Let y(x) = -1 + 6*x**2 + f - 7 + 8*x**2. Let b(z) = 4*z**2. Give b(y(h)). 784*h**4 Let l = -457 + 459. Let c(n) = 8083*n + 24*n**l - 8083*n. Let i(t) = 0 - 2*t + 0. Determine c(i(f)). 96*f**2 Let b(t) = 2*t**2. Let h(q) = -724872676*q. Determine b(h(p)). 1050880792822801952*p**2 Let r(p) = -2*p. Let m be 1 + -7 - -3*423/27. Let t(y) = 17*y + 14*y - m*y + 12*y. Give r(t(q)). -4*q Let s(w) = 2*w**2. Let t(m) = 1488*m**2 + 33*m + 51. Let q(p) = -744*p**2 - 15*p - 23. Let b(l) = 11*q(l) + 5*t(l). Give s(b(z)). 1107072*z**4 - 5952*z**2 + 8 Let j(c) = -117*c. Let q(a) = 4*a**2. Let t(m) = -2*m**2. Let h(d) = q(d) + 4*t(d). Give h(j(o)). -54756*o**2 Let o(k) = 9*k. Let a(n) = 840233*n**2. Determine o(a(h)). 7562097*h**2 Let o(j) = -31*j. Let k(x) be the first derivative of -11 + 0*x**2 + 0*x - 2/3*x**3. Calculate k(o(u)). -1922*u**2 Let i(b) = 14*b + 1. Let l(h) = -6*h - 332 + 8*h - 328 + 662 + 12*h. Give l(i(c)). 196*c + 16 Let y(p) = p. Let h(c) = 2*c + 42. Let j be h(-19). Let t(l) = 9798*l. Let x(m) = 79*m. Let v(g) = j*t(g) - 497*x(g). Determine v(y(f)). -71*f Let l(f) = f. Let u(m) = 106749*m - 205. Calculate l(u(p)). 106749*p - 205 Let s(g) = 2*g. Let h(a) = -a + 1. Let j(q) = 2*q - 1. Let w(c) = -c**3 - 7*c**2 + 11*c + 20. Let d be w(-8). Let i(v) = d*h(v) - 3*j(v). Give i(s(b)). -4*b - 1 Let j(q) be the third derivative of -6*q**2 + 1/10*q**5 + 0 + 0*q**4 + 0*q + 0*q**3. Let k(w) = -5*w**2 + 3*w**2 + 3*w**2 + 0*w**2. Calculate k(j(h)). 36*h**4 Let a(i) = 240552580*i. Let x(b) = -2*b. Determine x(a(v)). -481105160*v Let b(d) = 185631359*d. Let f(o) = -2*o. Determine b(f(u)). -371262718*u Let r(b) = b + 297. Let i(v) = v**2 - 57*v. Give i(r(g)). g**2 + 537*g + 71280 Suppose 28*k - 131 = -19. Let h(l) = 4*l + l - k*l + 5*l. Let b(g) = 3*g. Give h(b(t)). 18*t Let w(k) = 441*k - 10. Let h(f) = 133*f**2 + 1761 - 1761 - 132*f**2. Determine w(h(b)). 441*b**2 - 10 Let f(m) = -52600819*m**2. Let x(d) = d. Determine x(f(b)). -52600819*b**2 Let b(r) = -r. Let k(t) = 49*t + 9*t - 1090 + 551 + 551. Give b(k(g)). -58*g - 12 Let g(r) = 25*r**2. Suppose -3*d = 3*k - 462, -12 = 4*d - 0*d. Let z(s) = -k*s**2 + 78*s**2 + 86*s**2. What is z(g(h))? 4375*h**4 Let u(t) = 2*t - 3. Let z(v) = v - 2. Let y(s) = 2*u(s) - 3*z(s). Let f(c) = -119*c - 123*c - 126*c - 140*c - 122*c + 608*c. Determine y(f(j)). -22*j Let i(l) be the first derivative of -8*l**2 - 7282. Let r(m) = 4*m - 8. What is r(i(o))? -64*o - 8 Let o(s) = s**2. Let n(f) = -83*f + 249. Let c be n(3). Let x(g) be the third derivative of 4*g**2 + 0*g**3 + 1/24*g**4 + c*g + 0. Determine o(x(a)). a**2 Let t(d) = 2*d. Let c(j) = 66*j**2 + j. Let f(u) = 58*u**2. Let q(r) = -6*c(r) + 7*f(r). What is t(q(x))? 20*x**2 - 12*x Let x(h) = -4 + 15 - 11 - 81*h + 80*h. Let l(t) = 6425*t. Determine l(x(d)). -6425*d Let q(p) = p**2 + p - p. Suppose 399 = 6*o + 387. Let j(a) = 15065 - 2*a**o - 15065 - 3*a**2. Determine j(q(k)). -5*k**4 Let j(o) = -3*o + 2*o - o. Let z(a) be the third derivative of a**4/8 + a**3/6 - 385*a**2. What is j(z(h))? -6*h - 2 Let d(m) = -2*m - 4*m + m + 4*m. Let x(s) be the third derivative of -23*s**4/8 + 320*s**2. Calculate d(x(v)). 69*v Suppose 3*g + 30 + 17 = -4*r, 5*g - 17 = 2*r. Let f = r + 13. Let h(n) = -4*n**f - 2*n**2 + 3*n**2 + n**2. Let u(t) = 20*t**2. What is u(h(d))? 80*d**4 Let c(g) = 13*g. Let i(a) = 66575*a. Give c(i(p)). 865475*p Let u(r) = -69*r - 4. Let h(l) = 6*l + 1771. Give u(h(n)). -414*n - 122203 Let l(x) = 2*x**2. Let m = 9886 + -9886. Let t(f) be the third derivative of 22*f**2 - 47/60*f**5 + m + 0*f**4 + 0*f**3 + 0*f. Give t(l(d)). -188*d**4 Let p(w) = -31*w**2 +
{ "pile_set_name": "DM Mathematics" }
31030 (base 4) in base 11? 261524a What is 294cc9a (base 14) in base 7? 332515153 Convert -1100644 (base 7) to base 3. -20211212221 25a4d1 (base 14) to base 16 13c707 What is -2230313 (base 4) in base 5? -323223 Convert -202012424 (base 6) to base 2. -1101001011010111100000 210021122022 (base 3) to base 9 707568 What is 4437a (base 16) in base 12? 11584a What is 12db3b (base 14) in base 15? cd527 Convert 144074 (base 9) to base 8. 254324 Convert -220ac6 (base 13) to base 15. -10c775 -27c02 (base 13) to base 6 -1333015 -332313230 (base 4) to base 3 -111002020122 9bd6 (base 15) to base 3 1200100010 9aba95 (base 13) to base 5 1413400401 Convert -16b6c (base 13) to base 11. -2a910 Convert 1151254 (base 8) to base 15. 639bb Convert 17059 (base 15) to base 3. 10202222010 What is 10010111000101 (base 2) in base 10? 9669 -a8ae (base 16) to base 10 -43182 Convert 1323435 (base 6) to base 15. 16b2b -1a398b (base 16) to base 5 -414444132 -1266162 (base 9) to base 5 -134142131 Convert 14152420 (base 6) to base 14. c7620 Convert 983675 (base 13) to base 14. 691c30 Convert 186b157 (base 15) to base 9. 36450311 What is 2310006 (base 8) in base 9? 1154586 Convert -265040 (base 10) to base 7. -2152466 Convert -3540543 (base 6) to base 5. -21343424 What is 993378 (base 13) in base 2? 1101110000010101111011 Convert -110001011101100 (base 2) to base 12. -127a4 What is 322003232 (base 4) in base 13? 8431a Convert 355406 (base 9) to base 8. 641647 Convert -9537e (base 15) to base 14. -c46aa -100000110001101000001100 (base 2) to base 13 -1a1a972 What is -1263065 (base 7) in base 11? -104307 10120201120210 (base 3) to base 15 279180 What is 1444043432 (base 5) in base 15? 51d9e7 What is 232143 (base 8) in base 10? 78947 What is 13303322 (base 4) in base 8? 76372 Convert -30333021 (base 4) to base 11. -36a68 What is -1a75a4 (base 13) in base 12? -285751 -120201003100 (base 4) to base 10 -6426832 What is -600027 (base 14) in base 16? -313d63 What is 1295399 (base 13) in base 2? 10110010001010011101110 Convert 215501 (base 6) to base 8. 43275 Convert 609ba (base 13) to base 7. 1320330 Convert 9157b0 (base 12) to base 7. 25203042 Convert -26111 (base 12) to base 7. -304411 Convert 1100111100010100 (base 2) to base 3. 2200201102 What is 766362 (base 9) in base 15? 907c2 Convert -126115 (base 9) to base 6. -1350452 7a717a2 (base 11) to base 13 2c032b8 -24534 (base 16) to base 4 -210110310 -30a22 (base 11) to base 12 -22171 Convert 62694 (base 11) to base 7. 530201 What is 33e08 (base 15) in base 16? 28526 What is -12002122121 (base 3) in base 8? -303774 668143 (base 13) to base 6 123445244 Convert -46316 (base 10) to base 16. -b4ec What is -12b81b8 (base 12) in base 16? -38da1c What is -3663 (base 15) in base 7? -45504 11111112011 (base 3) to base 11 60618 What is -50140 (base 15) in base 5? -31102120 What is -12a1a40 (base 11) in base 16? -223862 What is 432410232 (base 5) in base 10? 1841317 What is 376028 (base 14) in base 13? 516400 What is 4ac00 (base 15) in base 13? 849ba What is 463343 (base 7) in base 12? 3bb35 What is -1110100010001111011 (base 2) in base 6? -14113003 Convert 270a9 (base 13) to base 5. 4311030 What is 515811 (base 12) in base 8? 4671515 22202200101 (base 3) to base 12 83a24 4a6d71 (base 14) to base 11 1495314 -328515 (base 9) to base 10 -196520 What is -11511200 (base 7) in base 3? -1221020020122 Convert -1656151 (base 9) to base 2. -11100001010110100001 What is -7a10 (base 14) in base 2? -101001010111110 What is -10001001010110000010 (base 2) in base 15? -b1a42 What is -31407217 (base 8) in base 12? -22a6727 What is 13202212032 (base 4) in base 15? 290a63 What is -14052302 (base 8) in base 14? -5c644a 61957 (base 10) to base 9 103881 -47580 (base 13) to base 5 -13134242 What is -22222312322 (base 4) in base 8? -12526672 -11011101001101110100 (base 2) to base 10 -906100 What is -49991 (base 11) in base 3? -10122101202 Convert 321210131 (base 4) to base 8. 714435 Convert 15875 (base 15) to base 12. 34202 Convert 2200556 (base 7) to base 9. 450238 116a01a (base 12) to base 11 19a6927 What is -3031130131 (base 4) in base 11? -525261 -10202002020 (base 3) to base 6 -1325053 -1340413 (base 6) to base 9 -124280 What is -17867 (base 12) in base 6? -421411 Convert 3a5c70 (base 15) to base 13. 772407 6b956c (base 14) to base 9 6821487 Convert 1373448 (base 9) to base 7. 6302126 What is -20324230 (base 7) in base 3? -10012120011201 Convert -102315 (base 10) to base 4. -120332223 What is -155565 (base 7) in base 4? -13201203 What is -221022100201 (base 3) in base 4? -1321213321 Convert -37977 (base 12) to base 13. -285b5 1000000000010010 (base 2) to base 15 9aab -1272a5 (base 15) to base 14 -19067d Convert 351589 (base 11) to base 3. 1001100222011 Convert 35452322 (base 6) to base 9. 2073275 -1d8b46 (base 14) to base 12 -4322a2 Convert -bbba91 (base 14) to base 3. -102222200020200 220321323230 (base 4) to base 3 202011210021002 144444134 (base 5) to base 11 4939a4 Convert 596607 (base 10) to base 3. 1010022101120 -35ca (base 13) to base 7 -31110 What is -42230232 (base 5) in base 13? -c4266 2211010000011 (base 3) to base 16 16dbf3 Convert 461823 (base 12) to base 14. 2131b5 What is -ad75aa (base 14) in base 5? -3002213421 What is 10110011110111010001010 (base 2) in base 3? 102002102201210 26252301 (base 8) to base 10 5854401 What is 1001011001100111000011 (base 2) in base 8? 11314703 What is -32a5 (base 16) in base 7? -52541 What is -20221222000 (base 3) in base 11? -93a49 -100011010011100001001111 (base 2) to base 12 -3123a93 Convert a725aa (base 14) to base 9. 11566456 What is -2d18d3 (base 14) in base 12? -642115 Convert -1404433 (base 6) to base 13. -29b29 -20010110222 (base 3) to base 2 -11101011100111011 Convert -309b04 (base 12) to base 16. -ba6f4 35131010 (base 8) to base 4 131023020020 -61de9 (base 15) to base 4 -1023233331 Convert -2453013 (base 6) to base 16. -201e1 Convert -144267 (base 10) to base 6. -3031523 What is -1a36d7a (base 14) in base 4? -301300013200 Convert -324043 (base 7) to base 15. -11ba1 88da08 (base 15) to base 2 11000111001010010110101 What is db139 (base 14) in base 3? 222220210200 -664988 (base 11) to base 16 -102f35 -12025000 (base 6) to base 13 -10273b What is 60365362 (base 8) in base 10? 12708594 -3143300 (base 5) to base 12 -26786 What is 6c952 (base 16) in base 11? 284172 What is 2202010222 (base 3) in base 16? d325 What is 413bb (base 13) in base 9? 187563 What is -1462261 (base 8) in base 4? -1212102301 -45517276 (base 8) to base 13 -2077c68 What is 10201210000 (base 3) in base 11? 50219 Convert 100011011110 (base 3) to base 9. 304143 156b3a (base 12) to base 9 615011 What is -848c (base 15) in base 9? -42406 What is -11514442 (base 6) in base 13? -cb546 What is 1001110021202 (base 3) in base 7? 4521614 Convert 11101111000110011101 (base 2) to base 11. 609895 What is 411b7 (base 12) in base 4? 110233123 444203330 (base 5) to base 13 530c30 -3030344 (base 7) to base 13 -c8018 -256141 (base 9) to base 11 -a6829 -e23736 (base 15) to base 6 -1022141523 What is 3c0a9c (base 14) in base 6? 112301414 What is 112160161 (base 7) in base 5? 3223324242 Convert 1100000000100011111101 (base 2) to base 8. 14004375 13420262 (base 8) to base 7 34460326 Convert -1340003311 (base 5) to base 7. -41136124 Convert 997591 (base 11) to base 16. 1847d2 What is 111100111100011000010001 (base 2) in base 5? 13042212303 -101002200101110 (base 3) to base 13 -115bc60 -6492203 (base 10) to base 16 -63102b Convert 46a632 (base 11) to base 3. 1101220111010 Convert -c767a (base 16) to base 4. -3013121322 -2147466 (base 9) to base 4 -10121221332 -1220101043 (base 5) to base 14 -5548b0 Convert -52303533 (base 6) to base 4. -11302121301 Convert 11322122220 (base 4) to base 11. 969594 What is e44cf (base 16) in base 12? 3911a7 What is -3624157 (base 8) in base 2? -11110010100001101111 98b52 (base 13) to base 12 11405b 1ee07 (base 15) to base 16 18aa8 43910 (base 10) to base 6 535142 Convert 61b99f (base 16) to base 7. 105303021 Convert 1032434304 (base 5) to base 15. 2e1c89 Convert -210130334 (base 5) to base 15. -121214 Convert 2100111000122 (base 3) to base 13. 349982 3aa979 (base 11) to base 13 1971c2 Convert -221000001102202 (base 3) to base 6. -
{ "pile_set_name": "DM Mathematics" }
remainder when 1 + -4 - (x + 1) is divided by 5? 2 Suppose 3*w = -w + 260. Let v be 1 + -1 - (-1 - -1). Calculate the remainder when w is divided by 18 - (v - (1 - 6) - 4). 14 Let h = -154 + 539. Let b = 612 - h. What is the remainder when b is divided by 21? 17 Suppose 6*v - 47 = -95. Let c(n) = -n**3 - 6*n**2 - 21*n - 25. What is the remainder when c(v) is divided by 39? 37 Suppose 6002 = -113*b + 117*b + v, -b = 4*v - 1523. Calculate the remainder when b is divided by 50. 49 Suppose -7*k = -3*k - 104. Let g = -44 - -48. Suppose 3*c = g*q - 89, -2*q + 23 = 3*c - k. What is the remainder when 67 is divided by q? 21 Suppose 562 = 2*h + 84. What is the remainder when h is divided by 41? 34 Suppose l + 3 = 2*l + 2*x, x = -3. Suppose 5*q - l = 2*q. Calculate the remainder when 24 is divided by q. 0 Let s = -22 + 171. Let f = 106 - s. Let y = f + 49. What is the remainder when 9 is divided by y? 3 Suppose -3*c + 305 = w, -506*c + 504*c = 2*w - 210. What is the remainder when 3598 is divided by c? 98 Let r be 6/(-5)*70*(-5)/(-20). Let l = r - -94. What is the remainder when 217 is divided by l? 71 Let z be (0 + -15)*(-1 - 4). Suppose 3*x - 7*c + 180 = -10*c, 5*c - 85 = 2*x. Let v = z + x. Calculate the remainder when 74 is divided by v. 14 Let x = -16 - -27. Suppose -15229*j = -15209*j - 2560. What is the remainder when j is divided by x? 7 What is the remainder when 511 is divided by 343/2*(-49)/((-7203)/210)? 21 Suppose 4*b - 5*s = -b + 95, b + 5*s - 7 = 0. What is the remainder when 59 is divided by b + (-4 + (-55)/(-15))*6? 14 Let r(a) = a**3 - 2*a**2 + 3*a - 65. Suppose -p + 13 = -5*v + 2, 0 = -4*v - 4. Calculate the remainder when r(p) is divided by 25. 22 Suppose -4826*z = -4821*z - 55. Let u(a) = 2*a + 1. Let y be u(1). Suppose -g + y*g = 80. Calculate the remainder when g is divided by z. 7 Let p = 1206 + -1268. Let l(i) = 5*i - 2. Let y be l(4). Let f = y - p. What is the remainder when f is divided by 22? 14 Let z(i) = i**2 - 11*i - 7. Let f(p) = -5*p**2 + 44*p + 26. Let w(s) = -2*f(s) - 9*z(s). What is the remainder when 3 is divided by w(-10)? 0 Suppose 1122 = -687*f + 698*f. What is the remainder when 303 is divided by f? 99 Let l(c) = -886*c + 7981. Calculate the remainder when 474 is divided by l(9). 5 Suppose 230 = -f + 6*f. Let a = -187 - -266. Let t = a - 66. Calculate the remainder when f is divided by t. 7 Let j be (3 + -2)/(8/1432). Suppose -14*a - j = -823. Suppose 2*p = -2*p + 3*g + 47, 5*p + 2*g = 30. Calculate the remainder when a is divided by p. 6 Suppose 0 = -2*h + 16*x - 12*x + 428, -649 = -3*h - x. Suppose 20*n - h = 12*n. What is the remainder when n is divided by 17? 10 Let n = -1568 + 1591. Suppose 6 = -3*d + 5*d. Calculate the remainder when (d*5)/(9/54) is divided by n. 21 Suppose -4*a - 290 = -h + 4*h, 0 = 4*a + 20. Let n = 89 + h. Calculate the remainder when n/((-1)/(-3))*(7 + -36) is divided by 10. 7 Let d(n) be the first derivative of n**3/3 + 17*n**2/2 + 138*n - 281. Calculate the remainder when d(-19) is divided by 59. 58 Calculate the remainder when 59723/13 + (-107)/1391 is divided by 73. 68 Let s(b) = -b**2 - 32*b - 58. Let u be s(-30). Suppose -112 = -u*d - 6*d. Let t(c) = -c + 40. Calculate the remainder when t(0) is divided by d. 12 Let h(i) = i**2 + 13*i + 51. Let n be h(-7). Suppose -l = -5*j + n*j - 341, 0 = -3*j - l + 257. What is the remainder when j is divided by 13? 6 Let j be -3*(-1)/2*2. What is the remainder when (-27 - -21)*(-28)/40*5 is divided by (j - -1)*(-4)/(-2)? 5 Let y = -36 + 39. Suppose h - 4*b - 10 = 7, 4*h - y*b - 29 = 0. Suppose 0*n + 4*n - 132 = h*u, -2*n + 66 = -u. Calculate the remainder when n is divided by 18. 15 Let a be 5/20 + 5/(120/42). Suppose 5*y = 50*k - 46*k - 64, 5*k + a*y = 113. Calculate the remainder when 96 is divided by k. 12 Let p(k) = 8*k + 102. Let g = -45 + 95. Suppose -4*o - 2*h + g + 6 = 0, 3*h + 24 = 3*o. Calculate the remainder when p(-4) is divided by o. 10 Let g(t) = -2*t**2 + 23*t + 161. Let r be g(-12). Let q = r - -460. What is the remainder when q is divided by 48? 9 Suppose -48*k = -58*k + 140 + 360. What is the remainder when 816 is divided by k? 16 Let d = -2199 - -2217. Calculate the remainder when 389 is divided by d. 11 Let y(r) = 7 + 94*r + 92*r - 267*r + 92*r. What is the remainder when 199 is divided by y(3)? 39 Let s(p) = p**2 + 24*p - 232. Let u be (-4)/6*(-90)/20. What is the remainder when (15/(-6) + u)*190 is divided by s(8)? 23 Let d(o) = 6*o - 2 - 3 + 6*o**2 + 15 - 6. Suppose 237 = -3*f + 6*f. What is the remainder when f is divided by d(-3)? 39 What is the remainder when ((-342)/(-1140))/(6/23080) is divided by 48? 2 Let n = -59 - -106. Let k = n - 31. Let y = -1364 - -1395. Calculate the remainder when y is divided by k. 15 Let u = 72504 - 72433. Suppose -2*m = 6 - 0. What is the remainder when u is divided by -6*m/6*5? 11 Let r = 3847 - 3580. What is the remainder when r is divided by 96? 75 Suppose 948 = -925*o + 1004*o. Calculate the remainder when 2/(((-16)/210)/(-4)) is divided by o. 9 Let w = -29711 - -29774. Suppose 67 = 2*j + 3. What is the remainder when w is divided by j? 31 Let o(c) = -5*c + 38. Let t be o(7). Suppose f - 154 + 17 = -2*d, 2*d + t*f = 139. Calculate the remainder when d is divided by 24. 20 What is the remainder when 9*(115025/225)/43 is divided by 130/2*(-4)/(-10)? 3 Suppose 3*r - 99 = 156. Suppose 15 + r = 4*h. Suppose -124666 = -19*w - 122348. Calculate the remainder when w is divided by h. 22 Let y = -23 + 73. Let j = 623 + -612. What is the remainder when y is divided by j? 6 Suppose -2935 = -2*i - 5*t, -4*t + 5 = 33. What is the remainder when i is divided by 146? 25 Suppose -33727 = -20*n + 14433. What is the remainder when n is divided by 73? 72 Let r be 2 + 3 - (-6)/(54/9). Calculate the remainder when 45 is divided by ((-16)/r)/(1/((-15)/10)). 1 Let c = -571 + 545. What is the remainder when (224/(-104) - 4/c) + 43 is divided by 21? 20 Let s(r) = -r**3 - 2*r**2 + 3*r - 4. Let l be s(-3). Let k = 23 + l. What is the remainder when 53 is divided by k? 15 Suppose 11*x - 7*x = 76. Suppose 2*m = -6 + 22. What is the remainder when (-10 - -5)/(-10)*9*m is divided by x? 17 Let x be (3 - (-9)/(-4))*(9 + -5). Suppose -13*v = -9*v, -2*v = -x*c + 216. Calculate the remainder when c is divided by 25. 22 Suppose -7*r = -r - 450. Let i = -72 + r. Suppose 0 = -i*o - 4*b + 77, -b + 94 = o + 3*o. What is the remainder when o is divided by 12? 11 Suppose -4*k - 123 = 2*q + 3*q, 2*q - 75 = 3*k. Let i = 0 - k. What is the remainder when 85 is divided by i? 4 Let p = -10 + 16. Let v be (-1 - 2/p)/((-16)/(-72)). Calculate the remainder when 17 is divided by 4/2 - -1*v/(-3). 1 Suppose 0 = -5*x - y + 287, 5*y - 130 = -5*x + 145. Calculate the remainder when 436 is divided by x. 30 Suppose 5*t = 2*u + 109, -4*t + 165 = 3*u + 64. Suppose -60 = -2*z + 106. What is the remainder when z is divided by t? 14 Let x = -26580 + 26586. What is the remainder when 4436 is divided by x? 2 Let l(x) be the third derivative of -5*x**4/8 - 6*x**3 - 2*x**2 - 139*x. Calculate the remainder when 114 is divided by l(-3). 6 Let k(n) = 10*n**2 + n - 7. Let r(o) = -28*o**2 - 4*o + 22. Let z(y) = 17*k(y) + 6*r(y). What is the remainder when z(2) is divided by 6? 1 Let j(t) = 12*t**2 - 3. Let z = -17721 - -17758. Calculate the remainder when j(3) is divided by z. 31 Let n be -2*123/4*102/(-153). Let s = n - -36. What is the remainder when 303 is divided by s? 72 Suppose 102*s = 120545 + 95899. Calculate the remainder when s is divided by 36. 34 What is the remainder when 416 is divided by ((-3)/(-2))/((-120)/(-16080))? 14 Let v(h) = -4*h**3 + 2*h**2 - 3*h - 5. Let g be (-8 + 19 + -7)*2/(-4). Suppose f = -2*f + 45. Calculate the remainder when v(g) is divided by f. 11 Let s = -192 - -287. Suppose 10*v - 565 = s. Calculate the remainder when v is divided by 35. 31 Let s = 3451 - 3430. Let d = 5 + -5. What is the remainder when (d - -95) + 6/2 is divided by s? 14 Suppose 74*u - 4387 = 2199. Calculate the remainder when 92 is divided by u. 3 Suppose 0 = 5*p - 14 - 41. Let f = 88 - 85. Suppose 2*q = -f*q + 4*k + 104, 5 = -5*k. Calculate the remainder when q is divided by p. 9 Calculate the remainder when 26*(6 + -8 + 135/6) is divided by 91.
{ "pile_set_name": "DM Mathematics" }
t replacement from zqjzz. What is prob of picking 3 z? 1/10 What is prob of picking 1 t and 2 b when three letters picked without replacement from bbbbbbtbbtbbb? 5/13 What is prob of picking 4 m when four letters picked without replacement from mlmmmmlmmml? 7/33 Calculate prob of picking 1 p and 1 q when two letters picked without replacement from pqjjqfffqjhqf. 2/39 Calculate prob of picking 1 e and 3 i when four letters picked without replacement from hhrheiehhihehhehhi. 1/765 Two letters picked without replacement from oooooooooyoo. Give prob of picking 2 o. 5/6 What is prob of picking 3 o and 1 b when four letters picked without replacement from {s: 1, o: 8, b: 4}? 224/715 What is prob of picking 2 c and 1 o when three letters picked without replacement from {t: 1, o: 2, c: 4}? 12/35 What is prob of picking 1 y and 1 m when two letters picked without replacement from mhlynlam? 1/14 Three letters picked without replacement from wltwagggwwyawygyww. Give prob of picking 1 w and 2 g. 7/136 Calculate prob of picking 3 m when three letters picked without replacement from qgggmggmmmgqg. 2/143 Four letters picked without replacement from zzuuuuuuuzuuzz. Give prob of picking 1 z and 3 u. 60/143 Four letters picked without replacement from {r: 7, e: 1, w: 4, y: 8}. Give prob of picking 1 r, 2 w, and 1 e. 14/1615 Three letters picked without replacement from gggggg. Give prob of picking 3 g. 1 Three letters picked without replacement from {s: 7, h: 1}. Give prob of picking 3 s. 5/8 Two letters picked without replacement from ouuuuuuuuououuuouu. What is prob of picking 2 u? 91/153 Calculate prob of picking 1 f, 1 i, and 1 v when three letters picked without replacement from {f: 6, v: 1, i: 8}. 48/455 Calculate prob of picking 1 i and 1 z when two letters picked without replacement from zcci. 1/6 Two letters picked without replacement from ttpttyzpt. What is prob of picking 1 y and 1 t? 5/36 Calculate prob of picking 2 a and 1 p when three letters picked without replacement from asspspippa. 1/30 Two letters picked without replacement from iiiiaabmmssibmkikim. What is prob of picking 1 b and 1 i? 14/171 Three letters picked without replacement from xzzzxxnxzz. Give prob of picking 2 x and 1 z. 1/4 Calculate prob of picking 3 v when three letters picked without replacement from vvvvvv. 1 Three letters picked without replacement from tkkkktktktkkkkkkkk. What is prob of picking 3 t? 1/204 Calculate prob of picking 2 d and 2 r when four letters picked without replacement from zavzvrrdzvmrrzrrmdvr. 7/1615 Calculate prob of picking 2 e and 1 d when three letters picked without replacement from ddbbebddbdbbdd. 0 Two letters picked without replacement from aaasasaaasaasasaaa. What is prob of picking 2 s? 10/153 What is prob of picking 3 a when three letters picked without replacement from asdfatflfaldl? 1/286 What is prob of picking 2 z, 1 u, and 1 h when four letters picked without replacement from {h: 2, u: 2, e: 4, z: 4}? 8/165 What is prob of picking 1 f, 2 j, and 1 e when four letters picked without replacement from jejfefeeeeee? 16/495 Four letters picked without replacement from {x: 3, j: 6, p: 2, h: 2, z: 1}. What is prob of picking 2 p, 1 j, and 1 h? 12/1001 Four letters picked without replacement from pxxpppppp. What is prob of picking 1 p and 3 x? 0 Calculate prob of picking 2 n when two letters picked without replacement from {n: 3, q: 2}. 3/10 Three letters picked without replacement from wcewwwcceceeeedc. What is prob of picking 3 e? 1/28 Four letters picked without replacement from {i: 7, n: 1, u: 2, m: 4, x: 4, d: 1}. What is prob of picking 2 i and 2 x? 21/646 Four letters picked without replacement from {d: 1, x: 3, g: 5, q: 5, u: 2}. What is prob of picking 1 u and 3 g? 1/91 Two letters picked without replacement from {n: 4, y: 3, f: 3, c: 2, l: 4, z: 2}. Give prob of picking 1 z and 1 y. 2/51 Four letters picked without replacement from wzzzwwwwzzwwwzzzzw. Give prob of picking 2 z and 2 w. 36/85 What is prob of picking 1 f and 3 p when four letters picked without replacement from {f: 6, o: 3, p: 8}? 12/85 Two letters picked without replacement from zmajmjezmrz. What is prob of picking 1 m and 1 z? 9/55 What is prob of picking 1 i and 1 v when two letters picked without replacement from {k: 3, q: 4, i: 1, w: 1, v: 6}? 2/35 Two letters picked without replacement from {u: 2, v: 8, c: 3, g: 2}. What is prob of picking 2 g? 1/105 Calculate prob of picking 1 o and 1 n when two letters picked without replacement from xxnoxxxxxxx. 1/55 What is prob of picking 1 b and 2 p when three letters picked without replacement from {s: 4, p: 5, b: 2, o: 2}? 10/143 Calculate prob of picking 2 h when two letters picked without replacement from {j: 3, q: 1, h: 3}. 1/7 Two letters picked without replacement from hiiihihiiiii. Give prob of picking 1 i and 1 h. 9/22 What is prob of picking 1 k and 1 e when two letters picked without replacement from zezkyyg? 1/21 Three letters picked without replacement from gggyiiymgiiiggigiii. What is prob of picking 1 m and 2 g? 7/323 Calculate prob of picking 2 s when two letters picked without replacement from hshshsssshssss. 45/91 Four letters picked without replacement from bbwnn. What is prob of picking 2 n and 2 b? 1/5 Three letters picked without replacement from avafraaaarrrk. What is prob of picking 1 v, 1 f, and 1 k? 1/286 Four letters picked without replacement from {d: 10}. What is prob of picking 4 d? 1 What is prob of picking 1 o and 1 r when two letters picked without replacement from {a: 2, v: 5, s: 1, r: 6, z: 5, o: 1}? 3/95 Two letters picked without replacement from {b: 2, k: 4, y: 1}. Give prob of picking 1 y and 1 b. 2/21 What is prob of picking 2 g when two letters picked without replacement from gggbgggbbgbbg? 14/39 Three letters picked without replacement from {x: 1, l: 6, d: 5, g: 3, h: 5}. Give prob of picking 2 g and 1 h. 1/76 Three letters picked without replacement from {a: 2, i: 5, u: 3}. What is prob of picking 1 i and 2 u? 1/8 Calculate prob of picking 1 m, 2 g, and 1 f when four letters picked without replacement from {g: 2, m: 4, f: 1}. 4/35 What is prob of picking 1 r and 1 y when two letters picked without replacement from {r: 1, y: 2, v: 1}? 1/3 Four letters picked without replacement from {i: 1, y: 7, b: 5}. Give prob of picking 3 b and 1 y. 14/143 Two letters picked without replacement from mfmfmfmmmmmm. Give prob of picking 2 f. 1/22 Two letters picked without replacement from {t: 1, b: 7, k: 1, u: 9}. What is prob of picking 1 u and 1 k? 1/17 Two letters picked without replacement from {w: 2, m: 1, e: 2, g: 4, u: 1}. Give prob of picking 1 m and 1 u. 1/45 Two letters picked without replacement from qxdyyvn. Give prob of picking 1 d and 1 n. 1/21 Calculate prob of picking 1 b and 2 d when three letters picked without replacement from {d: 5, b: 8}. 40/143 Three letters picked without replacement from gjwhhjhhg. Give prob of picking 2 h and 1 j. 1/7 Four letters picked without replacement from {k: 3, y: 1, d: 3, j: 2, r: 3, h: 2}. Give prob of picking 2 r and 2 h. 3/1001 Calculate prob of picking 1 l and 2 f when three letters picked without replacement from {f: 4, l: 7}. 14/55 Four letters picked without replacement from {u: 7, v: 8, w: 2, e: 1}. What is prob of picking 2 v and 2 u? 49/255 Calculate prob of picking 3 i when three letters picked without replacement from {v: 6, i: 13}. 286/969 What is prob of picking 2 x when two letters picked without replacement from {x: 9}? 1 Calculate prob of picking 1 q, 1 s, and 1 u when three letters picked without replacement from {s: 1, q: 1, u: 1, m: 9, j: 2, d: 1}. 1/455 Three letters picked without replacement from {k: 5, o: 3, d: 6, m: 1, h: 3}. Give prob of picking 1 o, 1 h, and 1 m. 3/272 Three letters picked without replacement from yhbbhhhhbyb. What is prob of picking 2 y and 1 b? 4/165 Two letters picked without replacement from {g: 13, y: 3}. Give prob of picking 1 y and 1 g. 13/40 Three letters picked without replacement from {g: 4}. Give prob of picking 3 g. 1 Calculate prob of picking 3 g and 1 w when four letters picked without replacement from wwwsggwwgsssgssswss. 2/323 Four letters picked without replacement from ddheeetthiec. Giv
{ "pile_set_name": "DM Mathematics" }
k? True Let m(p) = p**3 - p**2 - p + 14. Let k be m(0). Is 13 equal to k? False Let g = -2113/3 + 692. Let c = g + 12. Which is greater: c or 1? 1 Suppose -2*o + 13 = -z - 2*z, 4*o = 3*z + 23. Suppose 0 = -3*q + 6*q - 189. Let n = 316/5 - q. Is z at least n? False Suppose 4*i = 5*i - 4, -4*d - i + 24 = 0. Let m = -6 + d. Is m < -3/4? True Let u = 0.15 + -34.15. Which is greater: u or -1? -1 Let z = 17 + -35/2. Let s = -143477/170 + 844. Let n = s + -367/1530. Which is bigger: n or z? n Let n = 26.9 + -28. Let w = -1.1 - n. Which is greater: w or -6/5? w Suppose 0 = -4*a + 26 - 222. Let l be 0 + -1 + a/(-35). Which is bigger: -1 or l? l Suppose 0 = 4*i + 2*r - 8, i + 2*r + 3 = 8. Which is smaller: 2 or i? i Let z = 1/176 - 377/4400. Let p = -4 - -4. Do z and p have the same value? False Suppose -2*t + 64 = 4*g, 2*g - 2*t + 46 = 5*g. Suppose 4*b - g = b. Suppose -b*o = -o - 5. Does 0.2 = o? False Let d be 6 - ((-3)/(-1) + -1). Suppose -5*f - 3*s - d = 0, 2*f + 0*s = -3*s - 7. Is f equal to 2? False Let d(v) = 2*v**2 - v + 1. Let f be d(1). Which is smaller: 4/7 or f? 4/7 Let t = 3 + 3. Let r = -9 + t. Do -2 and r have different values? True Let d = -1/9 - -250/9. Let u = -28 + d. Which is bigger: u or -0.2? -0.2 Let q be (-76)/12 - (-1)/3. Let g = -32 + 22. Let h be 8/q*(-15)/g. Which is greater: h or -3/2? -3/2 Let k = -7 + 4. Let b(g) = -3*g + 3*g + 2 + 3*g + g**2. Let c be b(k). Is c at least 1? True Let a(t) = t**3 + 7*t**2 - 3 + 0*t**3 - 4*t**2 - 3*t + 0*t**3. Let g be a(-2). Suppose 2*s + 10 = g*s. Is 1 smaller than s? True Let u = -16/21 - -3/7. Let c be 9/(225/40) - 2. Which is bigger: u or c? u Suppose f + 1 = -50. Which is smaller: f or -53? -53 Let t = 12 - 11. Let a be (-2)/6 + 160/(-24). Is t at most a? False Let m = -262/5 - -52. Let h = -4 - -9. Suppose -h*b = -b. Which is smaller: b or m? m Let p = 58 + -59. Suppose -24 = 4*w - 0. Let s be (4/w)/(6/9). Are s and p unequal? False Suppose -5*t + 683 = 653. Suppose 0*x = 4*p - x - 25, 2*p - 8 = 2*x. Is p <= t? False Suppose -3*p = p. Suppose p = -d - d + 8. Let c be (1/(-4))/((-1)/d). Do 1 and c have the same value? True Let a = 6 - 5. Are a and -0.5 equal? False Suppose 0 = 2*w + 3 - 1. Let k = -64 - -64.04. Which is smaller: k or w? w Let q be (45/156)/3 - 3/12. Do q and 4 have different values? True Let u(i) = i**2 + 2*i. Let f be u(-2). Which is smaller: f or -5/12? -5/12 Let i = -917/1545 + -2/309. Is i less than or equal to -8? False Suppose -4*k + 10 = 5*c, 3*k = -2*k + 4*c - 8. Is k at most -3/10? False Let z(n) = 2*n - 8. Let b be z(6). Suppose q + 3*g - 25 + 7 = 0, 5*q + b*g = 35. Does -2/7 = q? False Let f(i) = -i**3 + 7*i**2 - 5*i - 6. Let q be f(6). Suppose -m - 3 = q, 5*p = 6*m - 3*m + 9. Suppose p = d + 2 - 4. Is d < 3? True Suppose -5*o - 10 = -2*i, -4*o + 1 = 4*i + 9. Suppose -2*r = -3*g - 1, 4*g + i*g - r - 2 = 0. Let d(t) = 2*t - 1. Let q be d(g). Is q smaller than 1? False Let u = -313 - -318. Let q be -1*1 - (-3 + 0). Suppose -6*z + q*z + 24 = 0. Is z at least u? True Let p = -7 + -31. Are -39 and p equal? False Let c be 1/(-3 + (-8)/(-4)). Is c equal to -1/10? False Let y be (966/(-16))/(27/36). Which is greater: y or -82? y Let t = 35 + -351/10. Which is bigger: t or -0.4? t Let x(b) = b + 6. Let w be x(-8). Let q = w + 4. Let t be -2 + (-3)/5 + q. Which is greater: t or -2? t Let f(z) = 1 - 8 - 2 - z. Let u be f(-8). Is u greater than or equal to 0? False Let p be (-4)/(-6)*54/12. Suppose 0 = p*m - 0*m. Is -1/5 smaller than m? True Let w = 56 + -20. Suppose w = 5*s - 14. Which is smaller: s or 11? s Suppose c = 3*c. Which is greater: -4/15 or c? c Suppose 6*x = -4*h + x + 145, -5*h + 4*x = -171. Suppose -n - c = 3*c + 13, -5*n = 5*c + h. Is -3 at least n? True Let y = -32978 + 231289/7. Let w = y + -63. Is w at most as big as -0.06? False Let o be 6299*(-3)/((-6183)/12). Let d = o - 2/229. Let g = 328/9 - d. Which is bigger: -1 or g? g Suppose -2*m - 6 + 4 = 0. Which is smaller: m or 31/2? m Suppose 4*c - 2*v = -10, 5*c - v + 15 = -2. Suppose 3*s - 1 = 4*k + 3, 0 = 4*s - 16. Suppose -k*m - 4 = -0*m. Is c less than or equal to m? True Let v = -41 - 6. Is -47 bigger than v? False Let j be 3/((-15)/6 - -4) + -30. Is -28 < j? False Let y(c) = -c + 15. Let t be y(16). Which is smaller: -1/36 or t? t Suppose 10 = 5*m + 20. Are -4 and m equal? False Let c = 484/6177 + -2/213. Suppose 6*h - 2*h - 4 = 0. Which is smaller: c or h? c Let c be (-10)/(-35) + 22/14. Which is smaller: 3 or c? c Let p(i) be the third derivative of i**5/60 - i**4/4 + i**3/3 + 2*i**2. Let f be p(6). Let m be ((-1)/f)/(2/4). Which is smaller: m or -1/3? m Let i(u) = -u**3 - 6*u**2 + 7*u. Let z be i(-7). Let d be (-3 + z)*(-2)/3. Let q = d - 3. Which is smaller: q or 2/11? q Let c = 70976057/870 + -2475824/29. Let z = c - -3791. Let u = -1/10 + z. Which is smaller: 1 or u? u Let v = -0.5 - -0.4. Is v > -13? True Let z(f) = f**2 + 1. Let p be z(0). Which is smaller: -7 or p? -7 Suppose -4*y - 5*z + 81 = 0, 123 = 5*y + 4*z - 5*z. Let w = y - 121/5. Let n(q) = -q**3 - 4*q**2 + q + 5. Let c be n(-4). Is c smaller than w? False Let r(k) = -k**2 + 16*k - 14. Let h(s) = 15*s**3 - s + 1. Let x be h(1). Let u be r(x). Is 0 bigger than u? False Let k = 0.2 + 0. Let v = -1.3 - 0.1. Let q = v - 0.6. Is k equal to q? False Let x = 0.6 - 2.6. Let y = -6 - -5.7. Let a = y + 0.3. Which is smaller: x or a? x Let q be 1 + (1 - (-20)/(-11)). Suppose -d - 28 = -3*a + 3*d, 0 = 4*a + d - 12. Suppose -l + 5*l - a = 0. Does q = l? False Let l = 47/2 + -20. Which is smaller: l or 4? l Let g(f) = f**2 + 2*f + 2. Let u be g(-2). Let v be (3 - (2 - 2))/1. Is u at most v? True Let l(g) = -g**3 + 9*g**2 + 9*g + 3. Let y be l(10). Are -6 and y unequal? True Let i(q) = q**3 - 8*q**2 + q + 2. Let r = 20 - 12. Let k be i(r). Let t be (-32)/(-180) - 4/k. Which is smaller: t or 0? t Suppose 5*h - 3 = -2*r - 8, -4*h - 10 = r. Let p = 14 - r. Suppose -p*n + 0 = 4. Is -1 at most as big as n? True Let w = -35 - -40. Are 1 and w non-equal? True Let b = 8 - 3. Let z = b + -5. Is z >= 2/11? False Let d = -3 - -6. Let b be ((-1)/(-3))/((-4)/d). Let a(f) = f**3 - 5*f**2 - 6*f + 3. Let p be a(6). Which is greater: p or b? p Let c be ((-20)/(-6))/(4/6). Suppose -5*m + c*z = 30, -3*m = -z + 3 + 5. Which is greater: m or 2/13? 2/13 Let c be (-2)/(-3) + (-1397)/3. Let d be (-5)/(c/(-192)) - -2. Which is bigger: d or 1? 1 Let a be 3/2 + (-387)/162. Let d = a - -7/18. Let n = 0.9 - 1. Which is greater: n or d? n Let m = 18/373 + 43281/7460. Let p = -25/4 + m. Do -1 and p have the same value? False Let k = -31/205 + -2/41. Suppose -4*p = p - 20. Suppose 3 = 4*s - c, 0 = p*s + c + 4*c + 15. Which is smaller: s or k? k Let g be 2/(-5)*2*5. Let x be (10 + -1)/(-4 - -5). Let j(i) = 2*i - 20. Let t be j(x). Is g greater than t? False Suppose 0*w + 4 = -4*w. Let l be 2/4 + (-140)/8. Let u = -101/6 - l. Which is bigger: w or u? u Let b = 0.11 - 5.11. Do -0.2 and b have the same value? False Let x be (12/14)/(1/(-7)). Suppose 0 = -2*j + 1 - 13. Is j < x? False Let k(q) = -3*q**2 - q - 2. Let p be k(2). Let j be (1 + -3)*(-102)/(-12). Is j greater than p? False Suppose -12 = 2*n - 6*n + 3*l, 12 = 4*n + 5*l. Suppose c + 5*d = 18, 4*c + 4 + 12 = 2*d. Let x = 4 + c. Which is greater: x or n? n Let d be (3/2)/((-21)/28). Let a = 6/259 + -2644/2331. Is d equal to a? False Suppose -x + 2*p - 3 = 0, 0*p = -4*x - 5*p + 14. Suppose 0 = -0*l + l. Suppose -5*u + o = -9, l = -4*o - 18 + 2. Is u >= x? True Let s(i) = -i**2 + 14*i - 3. Let a be s(7). Let r = a - 137/3. Let u = 1.1 - 1. Which is smaller: r or u? u Let v = -14.85 - -15. Let s = v + -0.05. Is s > -0.05? True Suppose 2 = 2*o - 4. Let m be (-6)/(-4)*8/3. Is m less than o? False Let m be (-10)/55 + 59/(-99). Let t = -53/45 - m. Is t < -1? False Suppose p - 30 = -4*p. Let s(i) = 1 + i**2 - p*i - i + 0. Let w be s(7). Do -2/5 and w have different values? True Let t be (-1)/(-1) + (-15 - 0). Let x = 23 + -13. Let a be x/(-14) - (-4)/t. Is a equal to 0? False Suppose -20 = 2*y + 2*r + 4, -4*y - r - 36 = 0. Suppose c + 9 = -0*c. Which is smaller: y or c? c Let u = -2.5 - -2. Let h = -13 - -12.9. Is u at most as big as h? True Let h(r) = -r**3 + 6*r**2 - r + 7. Let p be h(6). Suppose 3 = 3*l - 4*y, y + 2*y +
{ "pile_set_name": "DM Mathematics" }
- 16*c**4)*(-5 + 3 + 3). -138*c**4 Expand 2*q**2 - 2 + 2 + (q + 3*q - q)*(3*q + 3*q - 5*q). 5*q**2 Expand (w - w + w**3 + (-w + 2*w**2 + w)*(-w + 0*w + 3*w))*(-44*w + 14*w + 15*w) + 2 - 2 - w**4. -76*w**4 Expand (3*d + 2*d**2 - 3*d)*(0*d**3 + 2*d**3 + 4*d**3) - d**5 + 7*d**5 - 4*d**5. 14*d**5 Expand -3*k - 4*k**3 + k + 3*k**3 + (-3*k + 3*k - 4*k**2)*(6 - 6 - k). 3*k**3 - 2*k Expand -1 + 1 - w**3 - 22*w + 22*w + 6*w**3 + 2*w**3 - w**3 + 0*w**3 + (w - 2*w + 0*w)*(-w**2 + 2*w**2 + w**2) + 2*w**3 - 2*w + 2*w. 6*w**3 Expand (-2*f + f + 3*f)*(-14 - 5*f + 14)*(3 - 3 + f) + 20 - 17*f**3 - 20. -27*f**3 Expand -l**4 + l**4 - 2*l**5 + (3*l + 0*l - 4*l)*(l**4 + l**3 - l**3) + (3*l**3 - 5*l**3 + 0*l**3)*(-2*l**2 - 3 + 3). l**5 Expand 2*g**2 - 2*g**2 + 2*g**4 + (2*g**3 + 3*g**3 - 3*g**3)*(-4*g + 2*g + 4*g) - g**4 + 6*g**4 - 2*g**4. 9*g**4 Expand (10*k + 10*k + 2*k)*(-2 + 0*k - 3*k + k). -44*k**2 - 44*k Expand 9*x**2 - 9*x**2 + 3*x**4 + (-x**2 - x**2 + 0*x**2)*(2*x**2 - x**2 + x**2) - x**4 - 6*x**4 + 5*x**4 + x + x**4 - x + (-3*x + 4*x + x)*(x - x**3 - x). -4*x**4 Expand -1 - 2*b**2 + 1 + (3*b - 2*b - 2*b)*(4 - 4 + 2*b) + 163*b - 163*b + 10*b**2. 6*b**2 Expand (-2 + z + 2)*(4 + 2 - 1)*(-z + z + 2*z). 10*z**2 Expand (-b - b + 4*b)*(2*b - 5*b + 2*b) - 15*b**2 - 6*b + 6*b - b**2 - b + b. -18*b**2 Expand (-3 - 1 + 6)*((h - h - h**2)*(-h + 2 - 2) + 0*h**3 + 6*h**3 - 4*h**3). 6*h**3 Expand (-3*w + w - w)*(-4*w**3 + 4*w**3 + 2*w**4) + 2*w**2 - 4*w**2 - 2*w**5 + 4*w**5. -4*w**5 - 2*w**2 Expand (-4 + 6 - 1)*(2*m + 0*m + 0*m) + (-m - 2*m + 5*m)*(-3 - 2 + 4) + 2*m - 6*m + 2*m + 5*m + 5*m - 4*m. 4*m Expand (0 - 1 + 3)*(-3*l + 5 - 5)*(-5 + 1 + 3)*(-1 + 4 - 2). 6*l Expand (2*i - 2*i - 2*i)*(4*i - 2*i - i) + 2*i**2 - 2*i**2 + i**2 + 5*i**2 - i**2 - 5*i**2 + (0*i + 5*i - 3*i)*(-2*i - 3*i + 4*i). -4*i**2 Expand (1 - 2 + 0)*(6*m - 2*m - 2*m) + 5*m - m - m - 3 + 3*m + 2*m - 3*m. 3*m - 3 Expand (2*y + 1 - 1)*(-5*y**2 + 5*y**2 - 2*y**2)*(4*y**2 + 3*y**2 + y**2). -32*y**5 Expand -2*y**3 - 3 + 3 + 16*y**3 - 5*y**3 - y**3 + (3*y - 2*y + 0*y)*(0*y**2 - 2*y**2 - y**2). 5*y**3 Expand (-3*c + 5*c - 3*c)*(-2 + 0 + 0 + (-6 + 3 + 1)*(0 - 2 + 0) - 1 - 2 + 5 + 6 + 5 + 1). -16*c Expand (-2*y - y + y)*(-y + 0*y + 2*y) - 11*y**2 - 4*y**2 - y**2 + y**2 - 4*y**2 + y**2. -20*y**2 Expand (-3 + 3 + g)*(-3 + 4 + 3)*(3 + 3*g - 3). 12*g**2 Expand 0*u**5 - 5*u**4 + 3*u**5 - 2*u**5 - u**5 - 1 + 1 + (-u**3 - 3*u**3 + 5*u**3)*(-u**2 - 2 + 2). -u**5 - 5*u**4 Expand 4*p**3 - p**3 + p**3 + (3 - 3 - 2*p**3)*(-1 - 4 + 3) - 5*p**3 - 7*p**3 - p**3 + 5*p**3 - 2*p**3 - 2*p**3. -4*p**3 Expand (f + 4*f + f)*(5*f**3 - 2*f**3 - 2*f**3) - 3*f**4 + 3*f**4 - 4*f**4 + (0 + 0 - 2*f)*(-5*f**3 + 3*f**3 + 4*f**3). -2*f**4 Expand ((a - 5*a - a)*(a + 2*a - 5*a) + 0*a**2 + 2*a**2 + a**2)*(2*a**2 + 0*a**2 + 4*a**2). 78*a**4 Expand (-5*s**2 + 3*s**2 + 4*s**2)*(0 - 1 + 0)*(3411*s - 3411*s - 37*s**3). 74*s**5 Expand ((0 + 3 + 0)*(0 - 2 + 4) + 4 - 8 + 2)*(-3*n**3 + 6*n**3 - n**3). 8*n**3 Expand (-4*g**3 + 4*g**3 + 2*g**4)*(2 + 2 - 6) + 2*g**4 - 8*g**4 + 2*g**4. -8*g**4 Expand (-18*b**4 - 5*b**4 + 7*b**4 - b + 2*b**4 + b + (b**2 + 2*b**3 - b**2)*(b + 3*b - 3*b) + 1 - 1 + 2*b**4)*(-3 + 0 + 7). -40*b**4 Expand j**2 - 3*j - j + 7*j - 3 - j**2 + 4*j**2 - 4*j**2 + (0 + 0 - j)*(0 + 0 + j). -j**2 + 3*j - 3 Expand ((0*t**2 + t**2 + 0*t**2)*(0 + 4 - 2) - 18*t**2 + 0*t**2 + 4*t**2)*(3*t - 5 - 4*t + 4). 12*t**3 + 12*t**2 Expand -14 + 12*a**5 + 14 + a**5 - 5*a**5 + 3*a**5 + (-3 - a + 3)*(2 - 2 + a**4). 10*a**5 Expand (6 + 10 - 17 + o + 0*o + 5*o - 4*o + 0*o - 4*o + 3*o + (-4*o - o + 3*o)*(1 + 0 + 0) - 2*o + 4*o - 4*o)*(2 + 2 - 2). -6*o - 2 Expand (0 + 1 + 0)*(5*y - 2*y - 2*y + (2 + y - 2)*(3 - 1 - 4)). -y Expand (0*y**2 + 0*y**2 + y**2)*(0*y + y**2 + 0*y + (2*y + 2*y - 6*y)*(-y - y - 2*y)). 9*y**4 Expand (-3*r + 3 + 2*r - 5)*(-3*r**2 - 5 + 5). 3*r**3 + 6*r**2 Expand (-7*a + 6*a + 9*a)*(3 - 3 + 3*a)*(2 - 2 + a). 24*a**3 Expand (4*x - 2 + 2)*(-3 + 2 + 2)*(2 + 5 - 2). 20*x Expand (0 - 4 + 2)*(-2 + w - w - 5*w). 10*w + 4 Expand (-3*g**4 + 2*g**2 - 2*g**2)*(2 - 6 + 2) + (2*g + 3*g - 4*g)*(-3*g**3 + g**3 + 0*g**3) - 14 + 4*g**4 + 5 + 10. 8*g**4 + 1 Expand (2 + n - 2)*(23 - 8 + n + 15). n**2 + 30*n Expand (5*m - 1 + 3 - 2*m)*(4*m - 4*m + m**2) + (-2*m**3 - m + m)*(4 - 1 - 2). m**3 + 2*m**2 Expand (-1 + 1 - 2)*(m - 2 + 2) + (-3 + 2 - 1)*(2*m + 2*m - 5*m + (2*m - 5 + 5)*(1 + 3 - 3) - m + 3*m + 0*m). -8*m Expand -s**4 - 8*s + 3*s**4 + 5*s + (-8*s**2 + 6*s**2 - 5*s**2)*(-s**2 + s**2 + s**2). -5*s**4 - 3*s Expand (0 + 3 - 5)*((-3 + 3 - s)*(3 - 5 + 4) + 3*s - 3*s - 2*s - 50 - 12*s + 50). 32*s Expand (-1 + 1 + 20*l**3)*(-4*l + 0*l + 2*l + 2*l - 3*l + 3*l + (3 - 3 - 1)*(1 - 2*l - 1) + 4*l - l - l - 5*l + 5*l - l). 60*l**4 Expand (0 - 3 + 1)*(-5*l + 11*l + 7*l). -26*l Expand 0 + 0 - 2*p + (0*p + 2*p - 3*p)*(-5 + 4 + 3) + (11*p + 21 - 21)*(0 + 0 + 2). 18*p Expand (-h**4 + h + 4*h**4 - 6*h**4)*(-1 - 2 + 4). -3*h**4 + h Expand (0*l - 3*l + 5*l)*(-l**2 + 4*l**2 - 6*l**2) + (-5 + 1 + 3)*(-l**2 + 2*l**3 + l**2). -8*l**3 Expand (0*o**2 - 4*o**2 - 4*o**2)*(-o + 6*o - o + (3 + 1 - 2)*(o - 2*o + 0*o)). -16*o**3 Expand 5*d**2 - d**2 - 6*d**2 + (2*d + 4*d - 4*d)*(0*d - 4*d + 2*d) + 1 - 1 - d**2 + 6*d**2 - 3*d**2 - d**2. -5*d**2 Expand -h + 4*h - h - 6*h + 3*h + 2*h + (2*h + 2 - 2)*(-3 + 1 + 3) + 3 + h - 3 + h + 3*h + 2 - 3*h. 5*h + 2 Expand (1 + 2 + 6)*(r**3 - 2*r**3 - r**3) + 4*r**3 + 0*r**3 - 3*r**3 + (-3 + 3 - 2*r**2)*(-3*r + 2*r - r) + 0 + 0 - r**3. -14*r**3 Expand (5 - 4 + 0)*(-t + 3*t + 0*t + (-5*t - t + 3*t)*(3 - 1 - 1)). -t Expand ((1 + 3 - 3)*(-1 + 1 - 2*t) + 2*t - 5*t - 3*t)*(-2*t**3 - 2*t**3 + 3*t**3). 8*t**4 Expand ((-8 + 6*s + 8)*(-3 + 1 + 1) + 2*s - s + s)*(-s**2 - 2*s**2 + 5*s**2 + (s + 0*s - 2*s)*(-3 + 3 - 2*s) - 3*s + 3*s + s**2 + s**2 + 3 - 1 - 2*s**2). -16*s**3 - 8*s Expand (2 - 2 + 2)*(19*n**3 + 2*n**3 + 0*n**3). 42*n**3 Expand (a**3 - 4*a**3 + 2*a**3)*(88 - 88 + 6*a**2). -6*a**5 Expand (-7 + 3 + 2 - 1 - 2 + 4 + (4 - 4 - 1)*(3 - 5 + 4) - 2 + 1 + 0 + 5 - 2 - 4)*(11*t**5 + 29*t - 29*t). -55*t**5 Expand -2*x**2 - x**2 + 2*x**2 + (3 - 3 - x)*(0*x - x + 2*x) + (2 - 2 + 2*x)*(0*x - 2*x + x) + 4*x**2 + x**2 - 6*x**2. -5*x**2 Expand (0 - 4 + 2 + d)*(-6*d - 10*d + 8*d). -8*d**2 + 16*d Expand (16*m - 10*m + 16*m)*(3 - m - 3) + 4*m**2 + 0*m**2 - 2*m**2 + (1 + m - 1)*(-2*m + 3*m + 0*m) - 2*m**2 - 4*m**2 + 7*m**2 + 2*m - 2*m + 2*m**2. -16*m**2 Expand -3 - 2*m + 2*m + m - 2 + 2 + m + (-2*m + 0*m + 0*m)*(-2 - 2 + 3). 4*m - 3 Expand (-x**2 - 4*x**2 + 3*x**2 + (2*x - 2*x - 2*x)*(x - 4*x + x) - x**2 + 2*x**2 - 2*x**2)*(2 - 1 + 0). x**2 Expand (q - q + 2*q**4)*(-6*q + 0*q + 5*q) - 2*q**5 - 5 + 5. -4*q**5 Expand (3*m + 2*m - 4*m)*(((-3 + 1 + 0)*(-2*m - 2*m + m) - 4*m + 6*m - 15*m)*(-4 + 2*m**3 + 4) + (-2*m**2 + 6*m**2 - 2*m**2)*(-3*m**2 + 0*m**2 + 2*m**2)). -16*m**5 Expand (0*d**2 + 2*d**2 + 0*d**2)*(-2*d + d + 2*d) - 6*d**2 + 6*d**2 + d**3 + (2 + 3 - 4)*(-d**3 + 6*d**3 - 3*d**3). 5*d**3 Expand (5*k**2 - 4*k**2 + 0*k**2)*(-4*k + 2*k - k + 4*k - 5*k - k + (2 - 4 + 4)*(0*k + 3*k - k)). -k**3 Expand ((5 - 5 - 2)*(1 - 2 - 4) - 3 + 2 + 3)*(-p - 4*p + 3*p). -24*p Expand ((-1 - 1 + 1)*(0 - 1 + 0) - 2 - 2 + 1)*(-6*f + 6*f - 8*f**2). 16*f**2 Expand s**3 - 6*s**3 + 3*s**3 - s**3 - 3*s**2 + 3*s**2 + (4*s**3 - s**3 - s**3)*(-2 + 1 + 3) + 2*s**3 - 6*s**3 + 2*s**3 - 4*s**3 + s**3 + s**3. -3*s**3 Expand (2*j - 3*j - j)*(-j**2 - 5 + 5) + (2 - 2*j**2 - 2)*(2*j - 5*j + 0*j). 8*j**3 Expand (-2 + 1 + 2)*(3130*s**4 - 3130*s**4 - 45*s**5). -45*s**5 Expand (-1 - 1 + 3 + (-2 - 1 - 4)*(0 - 3 + 4))*(j**2 - 4 + 4). -6*j**2 Expand (3*c + c**3 - 3*c)*((-4*c - 2*c**2 + 4*c)*(2 - 2 + 2) + 2 - 2 + c**2 - 2*c**2 - c + c). -5*c**5 Expand (7 + 0 - 25)*(r**3 + 3*r**2 - 3*r**2)*(-r + 4*r - 2*r). -18*r**4 Expand (2*m**2 - 5*m**2 + 4*m**2)*(4 - 4 + 1) - 85*m**2 + 4*m**2 - m**2. -81*m**2 Expand (6 - 3 - 2)*(-2*x - 2 + 2) + 12*x + 22*x + x. 33*x Expand 2*h**2 - 21*h**4 + 9*h**4 + 8*h**4 - 2*h**3 + (0*h**4 - 4*h**4 + 3*h**4)*(6 - 2 - 2). -6*h**4 - 2*h**3 + 2*h**2 Expand -2*p**5 + p**5 - p**5 - p**5 + 6*p**5 + 5*p**5 + (2*p**3 - p**2 + p**2)*(4*p - 4*p + p**2) + 0*p**5 + 2*p**5 - p**5 + p**5 - p**2 + p**2. 12*p**5 Expand (-2*n + 0*n + 3*n + (-2*n + n + 0*n)*(-5 + 5 - 2))*(4*n + 2*n + 10*n). 48*n**2 Expand (2*v
{ "pile_set_name": "DM Mathematics" }
is divided by 14? 13 Suppose -2*d = 3*y + 79 - 730, 0 = -d - 2*y + 328. What is the remainder when d is divided by 80? 78 Let d = 2 + 5. Let a = 3355 + -3344. What is the remainder when a is divided by d? 4 Let d(x) = -9*x - 5. Let a be d(-2). Let o = 6 + a. Calculate the remainder when o is divided by 7. 5 Suppose 4*l - 280 = 4*u, -3*u - 138 = -4*l + 137. Suppose -136 = -109*c + 105*c. Calculate the remainder when l is divided by c. 31 Let k = -374 - -409. What is the remainder when 68 is divided by k? 33 Suppose 3*y + 34 = 4*y - 4*c, 0 = -4*c. Let w = y + -20. What is the remainder when 25 is divided by w? 11 Suppose 3*p + x = 49, -x - x = 4. Calculate the remainder when 33 is divided by p. 16 What is the remainder when 41 is divided by ((-115)/(-15) - 0)*3? 18 Let l = 315 - 301. Calculate the remainder when 195 is divided by l. 13 Suppose -r + 5*r + q = 5, q - 5 = 4*r. Let z(d) = 2*d + 8. Suppose -4*p = -3*o - 0*o + 35, 0 = -2*o - 2*p. What is the remainder when z(r) is divided by o? 3 Suppose 5*g = -b + 1600, 2*g + b - 293 - 347 = 0. Calculate the remainder when g is divided by 65. 60 Let h(a) be the third derivative of 5*a**4/12 - 25*a**3/3 + 48*a**2. Calculate the remainder when 118 is divided by h(11). 58 Let f be ((-17)/3 + -1)/(16/(-312)). Suppose 5*v - f = -0*v + 5*a, 2*a - 6 = 0. Calculate the remainder when 171 is divided by v. 26 Let t = 54 - 25. Suppose 139*g - 228*g = -7209. Calculate the remainder when g is divided by t. 23 Let c(h) = h - 1. Let q(z) = -z**2 - 11*z - 10. Let d(g) = -5*c(g) - q(g). Calculate the remainder when 45 is divided by d(-4). 3 Let i be ((-4)/6)/((-6)/477). Let a = -105 + 72. Let m = i + a. Calculate the remainder when 79 is divided by m. 19 Suppose -2*y + 4032 = 40*y. Let p = -2 + 22. Calculate the remainder when y is divided by p. 16 Suppose 733 + 515 = 12*d. Calculate the remainder when d is divided by 23. 12 Let r(u) = -3*u**2 - 59*u - 10. Let o be r(-13). Let s = o - 31. What is the remainder when s is divided by 13? 11 Calculate the remainder when 86 is divided by 15*8/80*20/2. 11 Let m(g) = 15*g**3 - g**2 - 7*g - 7. Let i be m(-2). Let t = i - -169. What is the remainder when 103 is divided by t? 51 What is the remainder when ((-18)/(-30))/((-1 + -7)/(-1200)) is divided by 19? 14 Let f(p) = p**2 - 6*p. Let c(o) = 12*o - 538. Calculate the remainder when f(9) is divided by c(46). 13 What is the remainder when 300 is divided by 2/(7/371*2)? 35 Suppose 0*g = 11*g - 209. Suppose 0 = 2*f + 2, -s + 6 + 0 = -f. Suppose s*w - 198 + 13 = 0. What is the remainder when w is divided by g? 18 Suppose u + 1 - 4 = 0. Suppose -5*q + 22 = -123. Suppose 4*v - q = u. Calculate the remainder when 13 is divided by v. 5 Let u(h) = -h**3 - 51*h**2 - 9*h + 95. Calculate the remainder when u(-51) is divided by 9. 5 Suppose -g = g. Suppose 2 = 2*o + 4*u - 2, g = o - 2*u + 2. Let k = o + 21. Calculate the remainder when 80 is divided by k. 17 Suppose -y = 2*y + 21. Let z = -7 - y. Suppose z = 5*b - 15, 5*p = 4*b + 14 + 19. What is the remainder when 34 is divided by p? 7 Suppose -130 = -15*i + 311 + 429. Suppose -15 = -v - l + 5*l, 0 = 2*l. What is the remainder when i is divided by v? 13 Let a be -54 + (1 + -5 - -2). Let o = a + 60. Calculate the remainder when 6 is divided by o. 2 Suppose -4*l = -0*l - 3*m + 19, -2*m + 10 = 0. Let k = 44 + l. Calculate the remainder when k is divided by 23. 20 Calculate the remainder when 73 is divided by (0 - -22) + (12 - (-54)/(-6)). 23 Let h = -4 + 16. Calculate the remainder when 5/25 - 1/(5/(-104)) is divided by h. 9 Let r = 53 + 13. Suppose 3*f + r = 3*l, f + 74 = l + 2*l. Calculate the remainder when l is divided by 7. 5 Let t(p) = p**3 + 4*p**2 - 4*p + 10. Let c be t(-5). Let r(m) = 17*m - 9. Calculate the remainder when r(c) is divided by 26. 24 Let k = 46 - 25. What is the remainder when 187 is divided by k? 19 Suppose -2*h + 9 + 51 = 0. What is the remainder when (-456)/(-2)*24/48 + 2 is divided by h? 26 Let a(f) = f**2 - 3. Suppose 2*i + 2*i = -16. Suppose -2*z + 38 = 4*v, -4*z - 14 = -4*v + 6. Calculate the remainder when a(i) is divided by v. 5 Suppose -4*u - 7*y + 1800 = -11*y, 5*u - 4*y - 2246 = 0. Calculate the remainder when u is divided by 45. 41 Let t = 542 - 376. What is the remainder when t is divided by 56? 54 Let n(l) = 2*l + 5. What is the remainder when 181 is divided by n(6)? 11 Let c(f) = -f - 17. Let l be c(-5). Let m(a) = -2*a**3 - a**2 + 54. Calculate the remainder when m(0) is divided by 2/(-4)*-4 - l. 12 What is the remainder when (-6)/(-18) - 2360/(-12) is divided by 66? 65 Let q = 97 + -87. Suppose 0 = -q*p - 3*p + 208. Calculate the remainder when 51 is divided by p. 3 Let t(g) = -g**2 + 4*g + 27. Let a = 87 - 81. What is the remainder when 38 is divided by t(a)? 8 Let d(a) = a + 18. Let n be (-4)/(-2)*(-133)/(-2). Suppose 3*s - 96 = -3*g, 0*s = 4*g - s - n. Calculate the remainder when g is divided by d(-6). 9 What is the remainder when 139 is divided by (-72)/162 - (-332)/18? 13 Let m be (2 - 28/8)*(-3 + 1). Suppose 206 = 4*i + 2*v, -v = -3*i + m*v + 149. Suppose -2*s = -s - 18. What is the remainder when i is divided by s? 15 Let d(k) = k**3 + 14 + 0*k**3 - 2*k**3 - 31*k**2 + 48*k**2 + 18*k. Calculate the remainder when 52 is divided by d(18). 10 Let h(t) = -t + 1. Let l be h(-27). Suppose b - 6*b + 4*q = -l, -4*b + 3*q = -22. What is the remainder when b is divided by 3? 1 Let t = 66 + 93. Calculate the remainder when t is divided by 21. 12 Suppose 2*k = r + 136, 0 = -0*k - 4*k - 3*r + 262. Let o = -46 - -97. Suppose -3*m + 38 = p, -2*p + o = m - 0. What is the remainder when k is divided by p? 21 Suppose 0*z - 12 = 4*z. Let w be 1 - (6 + z + -6). Suppose -2*x = -5*l - 35, -x + 76 = w*x - l. Calculate the remainder when x is divided by 8. 7 Let c = 43 - 22. Let b = c - 7. What is the remainder when 25 is divided by b? 11 Let x(m) = 126*m - 38. Calculate the remainder when 702 is divided by x(1). 86 Let n(s) = s**2 + 3*s + 12. Calculate the remainder when 27 is divided by n(-2). 7 Let b = 766 - 662. What is the remainder when b is divided by 37? 30 Let z(l) = -496*l**3 - 4*l**2 - 3*l - 1. Calculate the remainder when z(-1) is divided by 55. 54 Let c = -2657 + 2700. Let q(b) be the first derivative of 4*b**3 + b**2 + b + 2. What is the remainder when c is divided by q(-1)? 10 Suppose -3*l + 64 = -5*z, 4*l = 9*l + 3*z - 118. Calculate the remainder when 58 is divided by l. 12 Let m(u) = -29*u - 40. What is the remainder when 52 is divided by m(-2)? 16 Let p = -110 - -98. Suppose 0 = 5*c - 4*w - 110, -3*c - 4*w = 2*c - 70. Calculate the remainder when 57 + p/(-10)*(-50)/15 is divided by c. 17 Let t(y) = y**3 - 8*y**2 - 24*y - 25. What is the remainder when 137 is divided by t(11)? 63 Suppose -47*y + 3031 = 23. What is the remainder when y is divided by 6? 4 Suppose -8*s + 47 = -7*s + 2*z, 0 = 3*s - 4*z - 101. Suppose -2*f + 2*l = f - 30, 5*l = -4*f + 17. Calculate the remainder when s is divided by f. 7 Let a(q) = -q**2 - 22*q + 88. Calculate the remainder when ((-3)/(-2))/(1/14) is divided by a(-25). 8 Suppose -7*g = -2*g - 35. Let w = -27 + 15. Calculate the remainder when g is divided by (-15)/w + (-6)/(-8). 1 Suppose -h + 31 = 2*g, -6*h + 2*h = g - 26. Calculate the remainder when 51 is divided by g. 9 Calculate the remainder when 30/7 + 4/(-14) - -146 is divided by 38. 36 Suppose 2*n = 3*l - 8*l - 16, 22 = 3*n - 4*l. Suppose -n*v = 12 - 30. Calculate the remainder when (-101)/(-3) + (-2)/3 is divided by v. 6 Let r(l) = -10*l + 5. Let p(q) = -47*q**3 + q + 1. Calculate the remainder when p(-1) is divided by r(-2). 22 Calculate the remainder when (2294/(-124))/(((-6)/(-4))/(-3)) is divided by 5. 2 Let n be 1 - 7/((-42)/150). Calculate the remainder when 2*1*767/n is divided by 17. 8 Suppose 2*y = 3*y + 33. Let m = 38 + y. What is the remainder when 18 is divided by m? 3 Suppose 4*g - 42 = -2*j, -4*j + j - 2*g = -75. Let l = j - -18. Calculate the remainder when l is divided by 16. 13 Let k = 204 - -53. Calculate the remainder when k is divided by 43. 42 Let r = 1249 + -1231. Calculate the remainder when 22 is divided by r. 4 Let i = -467 + 508. Calculate the remainder when i is divided by 6. 5 Let x(t) = 2*t**2 + 683 - 8*t - 680 - 3*t**2. Calcu
{ "pile_set_name": "DM Mathematics" }
89 + -53397. List the prime factors of z. 2, 3, 13, 83 List the prime factors of ((245/(-315))/(2/48))/(1/(-87)). 2, 7, 29 Suppose 56*g + 5*z = 60*g - 13808, -3*g = 5*z - 10426. List the prime factors of g. 2, 3, 577 Let z = -7039 + 10754. What are the prime factors of z? 5, 743 Let j = -466 - -471. Suppose -j*y - 15*y = -980. List the prime factors of y. 7 Let l(r) = 238*r**2 - 11*r + 452. What are the prime factors of l(15)? 7, 7691 Suppose 27*h - 23*h - 630552 = 0. What are the prime factors of (-1)/(-8) - h/(-208)? 2, 379 Suppose 0 = 4*r + 3*t - 44091, t = -4*r + r + 33072. What are the prime factors of r? 3, 5, 7 Let w(f) = 127*f + 7076. What are the prime factors of w(46)? 2, 3, 2153 Suppose -4*p + 76*d - 79*d = -168437, 5*p = -5*d + 210555. What are the prime factors of p? 2, 19, 277 Suppose -187 - 1193 = -5*j. Suppose 280*h - 1704 = j*h. What are the prime factors of h? 2, 3, 71 Suppose 40 = 2*x + 2*j, -3*x = -x - 2*j - 52. Suppose s + 12 = -4*c, -c = 5*s + 7 - x. Suppose -s*h = -2*h - 70. What are the prime factors of h? 5, 7 What are the prime factors of (12/15)/(32/11760)? 2, 3, 7 Let l be 2 - (-1494)/9*4/8. Suppose 3*c = -15, -4*c = g + 53 - 7. Let x = l + g. List the prime factors of x. 59 Let d(m) = 29*m + 49. Let c = 297 + -272. List the prime factors of d(c). 2, 3, 43 Let i(m) = 8*m**2 + 199 + 3*m**2 - 18*m - 4*m**2 + 20*m**2 - 112. List the prime factors of i(8). 3, 557 Suppose 0 = -4*u + 2133 + 11055. What are the prime factors of u? 3, 7, 157 Let z = 190 - 859. Let l be (-23)/92 - z/4. Suppose -7*h + r = -3*h - 200, -3*h = -5*r - l. What are the prime factors of h? 7 Suppose 0 = -14*g + 60*g - 935949 - 153791. List the prime factors of g. 2, 5, 23, 103 Let r be 2*-4*(-216)/64. List the prime factors of 17463/r - (-32)/144. 647 Suppose -5*j = -4*l + 270, -5*j - l - 240 = l. Let g = -47 - j. Suppose -74 = -g*x + 1. What are the prime factors of x? 5 Let r = 129 + -125. Suppose 0 = 2*h - 5*h + r*o - 650, 0 = 2*h + 5*o + 418. What are the prime factors of h/4*((4 - 5) + -1)? 107 Let m(u) = u**3 - 13*u**2 + 17*u + 40. Suppose -16*j + 3*j = -182. What are the prime factors of m(j)? 2, 3, 79 Let x = -3061 + 3168. Let r(w) = -w**2 + 9*w + 1. Let b be r(8). List the prime factors of x + b - (2 - 0/(-1)). 2, 3, 19 Suppose -26*u + 934 = 297*u - 2296. Let j(d) be the third derivative of -d**5/60 + 5*d**4/8 + 3*d**3 + d**2. List the prime factors of j(u). 2, 17 Let w(q) = -87*q**3 + 2. Let d be w(-5). Suppose -37*j - d = -37813. List the prime factors of j. 2, 7, 13 Suppose 1203 + 785 = 5*l + 4*a, -786 = -2*l + 3*a. Suppose -l = 4*j - 4*k, -4 = 3*k - 16. Let g = -15 - j. What are the prime factors of g? 2, 5 Let a(t) = 56*t - 17. Let g(l) = -54*l + 16. Suppose 0 = -5*z - 3*z - 40. Let f(o) = z*g(o) - 4*a(o). What are the prime factors of f(2)? 2, 5 Let t be 6 + (-104)/18 - 8827/(-9). Suppose 0 = -2*s - 2*m + 986, 4*s - m - 976 = t. List the prime factors of s. 2, 5, 7 Suppose -8*y + 2720 = -28752. List the prime factors of y. 2, 7, 281 Suppose 16*v - 11*v - 885 = -4*u, -2*v + 354 = -5*u. Suppose -174*l = -v*l + 909. What are the prime factors of l? 3, 101 Let c be 0/(-5) - 2880/(-1). Suppose 13*s - c = -7*s. List the prime factors of s. 2, 3 Let k be (-2)/3 + (-66)/(-18). Let a(q) = -q**3 + q**2 + 8*q - 2. Let h be a(k). Suppose -85 - 399 = -h*m. List the prime factors of m. 11 Suppose 5*f + 10*k - 186812 = 7*k, 2*f - 5*k - 74700 = 0. What are the prime factors of f? 2, 5, 467 List the prime factors of (3 + -2)/((-69)/(-1767642)). 2, 12809 Let w(a) = a**3 + 12*a**2 - 14*a - 8. Suppose 57 = -8*b - 47. Let p = b - 0. What are the prime factors of w(p)? 5 Suppose 3*l - 18 = -3*u + 4*l, 5*u + 3*l - 16 = 0. Suppose h + 5*k - 116 = 3*h, -232 = 4*h + u*k. Let n = 84 - h. What are the prime factors of n? 2, 71 Let s(q) = 43*q**2 + 11*q + 14. Let m be s(-6). Suppose 2*a - 11*k + 14*k = m, 5*k = a - 774. What are the prime factors of a? 2, 13, 29 Let g = -5803 + 24800. What are the prime factors of g? 11, 157 Let p = 186 - 94. Suppose -u + 257 = 4*s, -u + s + p = -155. What are the prime factors of u? 3, 83 Let f = 9354 + -5385. List the prime factors of f. 3, 7 Suppose -348*y = -275*y - 109573. What are the prime factors of y? 19, 79 Suppose 0 = 5*t + 30, -3*t + 37623 = 3*s - 42768. What are the prime factors of s? 7, 547 Let o = 20 + -32. Let p be -942*(-3)/12*(-8)/o. Suppose 2*i - 59 - p = 0. What are the prime factors of i? 2, 3 Let a(w) = -9551*w**3 + 4*w + 6. List the prime factors of a(-1). 41, 233 Suppose -3*n = -4*i - 27, -5*i + 14 = -4*n + 49. Suppose -n*t + 21 = 2*t. Suppose -t*s + 29 = -2*s + 3*j, 0 = 5*s - j - 113. What are the prime factors of s? 23 Let n(y) = 58*y**2 - 1091*y + 241. What are the prime factors of n(46)? 3, 8087 Suppose 5*d - h - 119991 = 191576, -2*d = -4*h - 124634. What are the prime factors of d? 3, 20771 Let l(j) = j + 242 - j - j - 262. Let k be l(-26). What are the prime factors of (-3 + 136/(-12))/((-2)/k)? 43 Let n = -26102 + 49356. List the prime factors of n. 2, 7, 11, 151 Suppose -10*r - 3*g = -8*r - 3885, r - 1939 = 2*g. List the prime factors of r/7 - (-17)/(1428/(-24)). 277 Let u(k) = -6*k**3 - 9*k - 3*k + 12*k**2 + 7*k**3 + 17. Let y be u(-13). Suppose 119 = 5*t - d - 215, 4*t - 272 = -y*d. List the prime factors of t. 67 Let a be (4/((-64)/(-20)))/((-1)/(-4)). Suppose -881 - 1814 = -a*w. List the prime factors of w. 7, 11 Suppose 0 = 5*i + 2*g - 41419, 0 = 3*i - 2*g - 10324 - 14537. What are the prime factors of i? 5, 1657 Let w(z) = 36*z**2 + 25*z + 28. What are the prime factors of w(3)? 7, 61 Suppose 0 = -57*c + 73*c - 116592. What are the prime factors of c? 3, 7, 347 Suppose -2*v + 120*b - 116*b + 26446 = 0, -3*b = -3*v + 39660. List the prime factors of v. 13217 Suppose 5*l + 42 = 11*l. Suppose -41 - l = -n. Suppose n + 84 = 4*h. List the prime factors of h. 3, 11 Suppose 3*q - 15 + 21 = 0, q + 43864 = 2*i. What are the prime factors of i? 7, 13, 241 Let d(q) = 9*q**2 + 24*q + 23. Let h(i) = -11*i + 405. Let a be h(36). What are the prime factors of d(a)? 2, 11 Let k be -3 - 9/3 - -1. Let a be (-13)/k - 24/40. Suppose 0 = -4*q - 0*q + 12, -q = -a*m + 127. List the prime factors of m. 5, 13 What are the prime factors of 68706/(-12)*-2 + -3? 2, 3, 53 Suppose -31 - 2 = -4*j + 3*f, 33 = 3*j - 5*f. Suppose 663 = j*t - 897. List the prime factors of t. 2, 5, 13 What are the prime factors of (-9)/9 + (17 + 3 + -4)*1613? 131, 197 Suppose -27*p + 22674 = -25*p + 3*w, 0 = 5*p + w - 56685. List the prime factors of p. 3, 3779 Let n be (-14)/(-70) - (-1831)/(-5). Let y = 531 + n. What are the prime factors of y? 3, 5, 11 Let b be 89 + 2 + (0 - 2). Suppose -5*s - 144 = 2*w, -15*s = 4*w - 11*s + 276. Let y = w + b. What are the prime factors of y? 2, 11 Suppose 6*n - 7147 = 10223. List the prime factors of n. 3, 5, 193 Let l(f) = 2*f**2 + 55*f - 66. Let s(o) = -2*o**2 - 56*o + 65. Let k(p) = -6*l(p) - 7*s(p). List the prime factors of k(-42). 5, 173 Suppose h = -0*h - 6*h. Suppose h = -51*s + 55*s - 436. List the prime factors of s. 109 Let u = 32977 + -18391. List the prime factors of u. 2, 3, 11, 13, 17 Suppose 18*r - 328631 = -4*r - 123547. List the prime factors of r. 2, 59, 79 List the prime factors of 1/(-22) + (-7679112)/(-1232). 23, 271 Let i(f) = 27 - 48 - f**3 + 4*f**2 - f + 30. Let g be i(-7). Suppose -q + g = 4*q + 3*t, -t = 5. What are the prime factors of q? 2, 3, 19 Let c = -8135 + 13083. What are the prime factors of c? 2, 1237 Let u = 123 - 128. Let p(o) = 2*o**2 + 8*o + 11. Let f be p(u). Suppose 18*i - f*i + 288 = 0. What are the prime factors of i? 2, 3 What are the prime factors of (-21636)/(-21)*1036/111? 2, 601 Suppose 0 = -21*o + 17*o. List the prime factors of (7 + (-45)/6)*(-1274 - o). 7, 13 Let t(u) = -u**3 - 19*u**2 - 39*u - 1. Let y be t(-21). Let p = y - 1040. List the prime factors of p. 2, 3, 5, 11 Suppose 77 = n - 4*h + 243, -h + 367 = -2*n. Let a = n - -376. Let t = a + -82. What are the prime factors of t? 2, 3 Suppose -40*x + 12*x + 224 = 0. List the prime factors of (-12)/(-2*x/640). 2, 3, 5 Let d(g) be the second derivative of -7*g + 1/6*g**3 + 0 + 29/2*g**2 + 1/6*g**4. List the prime factors of d(0). 29 Suppose 5*j + 0*j + 1593 = -3*t, -2*j = -t + 646. Let q = j - -
{ "pile_set_name": "DM Mathematics" }
+ 1/2*k**2. Let y(b) = 78*b**2. Determine x(y(q)). 78*q**2 Let q(b) = -23*b. Let i(f) = -f. Let p(g) be the third derivative of -g**4/8 - 30*g**2. Let w(x) = -2*i(x) + p(x). Determine w(q(v)). 23*v Let l(d) = 12558*d + 442. Let g(v) = 341*v + 12. Let o(a) = -221*g(a) + 6*l(a). Let m(q) = 64*q. Calculate o(m(u)). -832*u Let q(z) be the third derivative of 17*z**4/6 + 481*z**2. Let x(s) = 10*s**2. Determine x(q(y)). 46240*y**2 Let x(k) = 356260*k. Let m(q) = -2*q - 22. Determine x(m(a)). -712520*a - 7837720 Let w(v) = -11*v + 4. Let q(g) = -1568*g - 24 + 24 + 1608*g. Determine q(w(k)). -440*k + 160 Let c(q) = 5*q**2 - 4*q. Let j(s) = -14*s**2 + 11*s. Let a(g) = -11*c(g) - 4*j(g). Let d(r) be the third derivative of r**4 + r**2. Give d(a(m)). 24*m**2 Suppose 76098 = 2*k - 358750. Let r(t) = -217424 + k - 572*t**2. Let c(o) = -2*o. Calculate r(c(x)). -2288*x**2 Let o(k) be the first derivative of 3*k**2/2 - 1. Let v(g) = 4*g - 4. Let l(x) = 1. Let t(p) = 6*l(p) + v(p). What is t(o(c))? 12*c + 2 Let z(x) = 5*x**2. Suppose 2*m = -j - 32 - 34, 5*j = 5*m + 180. Let n(o) = 153*o + 34. Let q(r) = -14*r - 3. Let l(a) = m*q(a) - 3*n(a). Calculate l(z(f)). 85*f**2 Let o(n) be the second derivative of 61/24*n**4 + 0 + 23/2*n**2 + 0*n**3 + 13*n. Let a(g) be the first derivative of o(g). Let x(p) = 2*p. What is x(a(w))? 122*w Let w(a) = 11768*a. Let t(b) = 24*b**2 - 42*b. Let o(s) = 5*s**2 - 9*s. Let l(m) = 14*o(m) - 3*t(m). Give w(l(d)). -23536*d**2 Let m(x) = 2*x. Let g(p) = p**3 + 6*p**2 + 5*p. Let z be g(-4). Let u(y) = -24*y + 31*y - 3 - z*y. Give u(m(n)). -10*n - 3 Let n(d) = d - 5. Let f be (-12)/(-54) - (132/(-54) - 2/(-3)). Let a(k) be the second derivative of 0*k**2 + 1/3*k**3 + f*k + 0. Determine a(n(t)). 2*t - 10 Let a(v) = 20*v + 18*v + 10*v - 51*v. Let p(r) = -35*r + 6. Let d(z) = -6*z + 1. Let y(q) = 34*d(q) - 6*p(q). Give a(y(b)). -18*b + 6 Let a(h) = -436*h + 5. Let v(l) = -1546*l. Give v(a(x)). 674056*x - 7730 Let f(g) = 53*g**2. Let s(z) = -z - 3. Let t be s(7). Let u = t + 21. Let k(y) = -9*y**2 - u*y**2 + 18*y**2. Determine f(k(l)). 212*l**4 Suppose u - 2*o = -4*o - 1, 5*o + 10 = 0. Let p(q) = -3*q - 3*q + u*q + 2*q. Let m(y) be the second derivative of -25*y**3/6 + 38*y. Determine m(p(h)). 25*h Let h(a) = 1550*a**2. Let d(g) = -85431*g. Determine h(d(p)). 11312606429550*p**2 Let a(m) = 104*m**2 + 3. Let h(i) = 17*i - 56*i + 19*i + 20*i + 3*i. Give a(h(s)). 936*s**2 + 3 Let q(u) = -36402*u + 72749*u - 36368*u. Let v(m) = -5*m - 1. Give q(v(j)). 105*j + 21 Let t(v) = 1121*v**2. Let w(g) be the first derivative of 3*g**2/2 - 2412. Determine w(t(l)). 3363*l**2 Let j(a) = 4254*a. Let v(b) = 1631*b. What is j(v(q))? 6938274*q Let n(z) = 47*z + 27*z + 7 - 7 - 72*z. Let s(a) = a + 191. Determine n(s(d)). 2*d + 382 Let i(s) = 3*s. Let w(h) = 162*h**2 - 15*h + 3. Let c(q) = -325*q**2 + 25*q - 5. Let u(a) = 3*c(a) + 5*w(a). What is u(i(r))? -1485*r**2 Let a(f) = f**2 - 3. Let k(x) = 74600*x. Calculate a(k(d)). 5565160000*d**2 - 3 Let l(j) = -7*j + 347. Let v(s) = 3*s - 165. Let q(h) = 5*l(h) + 11*v(h). Let o(d) = d. Calculate o(q(x)). -2*x - 80 Let c(p) = p**3 + 2*p**2 - 54. Let o be c(0). Let s = -37 - o. Let i(l) = 6*l - s*l + 6*l. Let y(b) = -b. Give i(y(k)). 5*k Let u(w) = 2*w**2. Let o(g) = 0 + 5*g + 10 + g**2 - 9 - 2. Let k be o(-6). Let b(x) = k*x + 6*x + 4*x. Give b(u(n)). 30*n**2 Let o(i) = -61*i - 22. Let v(d) = -58*d - 33. Let q(x) = 3*o(x) - 2*v(x). Let c(k) = 7*k. Let t(f) = 6*f. Let h(r) = -5*c(r) + 6*t(r). Calculate q(h(y)). -67*y Let c(o) = 4*o**2. Let w(t) = t**2 + 6021*t - 1665. Calculate w(c(a)). 16*a**4 + 24084*a**2 - 1665 Let k(u) be the second derivative of 0 + 1/3*u**3 + 4*u + 0*u**2. Let s(x) be the first derivative of 9*x**2/2 - 198. Determine k(s(d)). 18*d Let b(s) be the first derivative of 148*s**3/3 + 1954. Let y(z) = 10*z. What is b(y(p))? 14800*p**2 Let t(n) = 154*n + 4158. Let v(m) = -21. Let g(l) = -18. Let f(w) = -4*g(w) + 3*v(w). Let o(i) = 924*f(i) - 2*t(i). Let c(z) = -2*z. Determine c(o(h)). 616*h Let p(v) = -1512058*v. Let i(r) = -17*r**2. Calculate p(i(n)). 25704986*n**2 Let v(l) = -3*l**2 + 5. Let p(z) = -8*z**2 + 14. Let j(q) = -5*p(q) + 14*v(q). Let g(b) = -88*b + 15*b + 45*b. Give g(j(k)). 56*k**2 Let a(c) = c. Let q(v) be the third derivative of -10/3*v**3 + 0 + 36*v - 1/30*v**5 + 2*v**2 + 0*v**4. Determine a(q(m)). -2*m**2 - 20 Let z(c) = -c**2. Let h(u) = 2*u - 10. Suppose 2*q + 2*f - 10 = 3*f, 5*q + 5*f - 40 = 0. Let x be h(q). Let v(r) = 31*r**2 - 27*r**x - 33*r**2. Give v(z(d)). -29*d**4 Let g(p) = -9 + 4 - 2*p**2 + 5. Let y(o) = 6*o - 17. Let l = 64 + -47. Let t(f) = 2*f - 6. Let k(z) = l*t(z) - 6*y(z). Give g(k(s)). -8*s**2 Suppose 19359 = 3*j + 2823. Let m(w) = -5512 + 19*w + j. Let t(k) be the first derivative of -k**2/2 - 14. Give m(t(l)). -19*l Let v(l) be the second derivative of 5*l**3/6 - 5842*l. Let p(u) = 1281*u. What is p(v(s))? 6405*s Let g(w) = 44*w**2 + 3. Let q(p) = -1628*p. What is g(q(k))? 116616896*k**2 + 3 Let r(l) = -486804813*l**2. Let n(i) = 2*i. Give r(n(p)). -1947219252*p**2 Let b(h) = -10*h**2. Let a(t) = 6*t**2 - 2*t. Let r(u) = 55*u + 2*u**2 - 6*u**2 - 56*u. Let k(o) = 2*a(o) - 4*r(o). Calculate k(b(m)). 2800*m**4 Let p(y) = y**2. Let a(s) = 2163415*s**2. Determine p(a(f)). 4680364462225*f**4 Let p(r) = 71*r. Let k(i) = -639092*i. Calculate p(k(f)). -45375532*f Let s(x) = 18*x + 293. Let w(a) = -115*a**2 - 2*a. Give s(w(i)). -2070*i**2 - 36*i + 293 Let h(p) = -43288345*p. Let g(z) = -5*z. What is g(h(o))? 216441725*o Let d(v) = -175*v**2 - 50*v + 150. Let r(s) = 10*s**2 + 3*s - 9. Let n(k) = 3*d(k) + 50*r(k). Let o(w) = w**2 + 31. Calculate o(n(t)). 625*t**4 + 31 Let z(y) = y**2 + 2. Let q(x) = 3*x**2 + 5. Let m(k) = 6*q(k) - 15*z(k). Let o(f) = 10*f - 4 - 2 + 5 + 3. What is o(m(h))? 30*h**2 + 2 Let n(p) = -250*p. Let o(g) = 25001*g**2. Give o(n(m)). 1562562500*m**2 Let x(f) = 14*f - 4*f**2 - 2*f + 8 + 2*f**2 - 12*f. Let l(d) = 13*d**2. Give l(x(u)). 52*u**4 - 416*u**2 + 832 Let a(n) = 4*n. Let y(w) = w**2 + w. Let d(k) = a(k) - 4*y(k). Let i(j) be the third derivative of -29*j**4/24 - 60102*j**2. Determine i(d(r)). 116*r**2 Let i(a) = -2*a**2. Let j(z) = -45307552*z - 38126. Let y(w) = -3565*w - 3. Let t(n) = 3*j(n) - 38126*y(n). Calculate t(i(b)). 6932*b**2 Let j(x) = x. Let m(u) = 2*u**2 + 4*u - 246609. Calculate m(j(i)). 2*i**2 + 4*i - 246609 Let k(f) = -4*f. Let v = -5 + 30. Let h(q) = v*q**2 - 23*q**2 - 10*q**2. Calculate k(h(l)). 32*l**2 Let i(g) = -12965414*g. Let x(j) = -j**2. Calculate i(x(r)). 12965414*r**2 Let k(p) = 3107775*p + 5. Let n(m) = -4*m. Determine k(n(c)). -12431100*c + 5 Let h(i) = 3*i + 4. Let q(n) = -n - 2. Let f(r) = -3*h(r) - 6*q(r). Let v(g) be the second derivative of 13*g**3/6 - 3*g. Determine v(f(b)). -39*b Let a(m) = m. Let w(u) be the first derivative of 176*u**3/3 + 5*u**2/2 + 5*u + 41. Let s(y) = 89*y**2 + 3*y + 3. Let q(k) = 5*s(k) - 3*w(k). What is a(q(z))? -83*z**2 Let s(j) = -2*j. Let n(k) = -10*k - 98. Let m be n(-10). Let c(t) = -7*t**m + 0*t**2 + 1 - t**2 + t**2. Calculate s(c(i)). 14*i**2 - 2 Let o(g) = -41786*g - 1. Let c(p) = 4919*p. Give o(c(l)). -205545334*l - 1 Let i(m) = 97*m + m**2 - 97*m. Let a be 5*2 + (-27 - -25). Let o(k) = 7*k - 9*k - a*k. Determine i(o(y)). 100*y**2 Let v(n) = -86*n. Let g = 76 + -88. Let d(s) = 14*s + 12. Let h(x) = x + 1. Let y(p) = g*h(p) + d(p). Determine v(y(k)). -172*k Let f(r) be the third derivative of 25*r**4/6 - r**2. Let d(q) = -1492*q + 2902*q - 1409*q. Give d(f(k)). 100*k Let x(h) = -35*h**2 + 39*h**2 - 2*h**2. Let d(r) = -r + 4. Let n(f) = 24*f + 22. Let g(s) = 5*d(s) - n(s). Give g(x(a)). -58*a**2 - 2 Let y(k) = 6*k. Let g(t) = -96145*t**2 - 2. Give g(y(v)). -3461220*v**2 - 2 Let j(m) = -9*m. Let a(z) = -4462537*z**2. What is a(j(l))? -361465497*l**2 Let a(w) = -7*w. Let t(s) = -178497*s**2 + 601*s - 1202. Let z(v) = -595*v**2 + 2*v - 4. Let g(u) = -2*t(u) + 601*z(u). Determine a(g(k)). 4207*k**2 Let o(y) = -1194*y**2. Let k(l) = -5*l**2 - 2*l - 1. Let b(f) = -17*f**2 - 6*f - 3. Let q(n) = b(n) - 3*k(n). Determine o(q(h)). -4776*h**4 Let x(f) = -15*f. Let s(b) = 937*b**2 - 14*b + 25. Let h(l) = -1402*l**2 + 20*l - 35. Let g(i) = -5*h(i) - 7*s(i). Calculate x(g(k)). -6765*k**2 +
{ "pile_set_name": "DM Mathematics" }
in ascending order. -3286, -13, -1/5, 0.3 Put -2/13, -8, 3/20, -0.1, 0.4 in decreasing order. 0.4, 3/20, -0.1, -2/13, -8 Put 0.3, 1888/13, -5, 5 in descending order. 1888/13, 5, 0.3, -5 Put -1068, 1, 7 in increasing order. -1068, 1, 7 Sort -2, -292749, -3 in increasing order. -292749, -3, -2 Sort 1, 33, 4825 in increasing order. 1, 33, 4825 Put -128, -3, -4, -2, 14, 3 in descending order. 14, 3, -2, -3, -4, -128 Sort -0.0194, -4, 3, -1. -4, -1, -0.0194, 3 Put -0.1, 2/7, -9.1, -1.5 in increasing order. -9.1, -1.5, -0.1, 2/7 Put 0.5, 1/238, -2/7, 0.2, 177, 1 in descending order. 177, 1, 0.5, 0.2, 1/238, -2/7 Put -1, 2, -96, -6 in decreasing order. 2, -1, -6, -96 Sort 2, -3188, 5. -3188, 2, 5 Put 171, 0.2, -5, 48 in decreasing order. 171, 48, 0.2, -5 Sort 3, 1, 2, -5, -26 in descending order. 3, 2, 1, -5, -26 Put -99, -4/11, -9/335 in increasing order. -99, -4/11, -9/335 Sort -5, 0, 17, 152, -4. -5, -4, 0, 17, 152 Sort -1/6, 0.5, -5739, -2, 2, 1/5. -5739, -2, -1/6, 1/5, 0.5, 2 Put 0, -58, 254 in decreasing order. 254, 0, -58 Sort -2, -16, -182 in decreasing order. -2, -16, -182 Put 20839, -4, 6/19, 1 in ascending order. -4, 6/19, 1, 20839 Put 1401, -2/3, 3 in decreasing order. 1401, 3, -2/3 Sort 92, 2, 8, 5, -2, -5 in descending order. 92, 8, 5, 2, -2, -5 Sort 3/5, 0.3, 1/34, -2/17, -1. -1, -2/17, 1/34, 0.3, 3/5 Put 0.1, -34, 2, 0.5, 0, -0.4 in decreasing order. 2, 0.5, 0.1, 0, -0.4, -34 Sort -44166, 1, -2 in decreasing order. 1, -2, -44166 Sort -3, 0.1, -0.07, 2336 in decreasing order. 2336, 0.1, -0.07, -3 Sort -4, 90, 4, -5, -9 in decreasing order. 90, 4, -4, -5, -9 Put 1/4, -2/673, 4/7 in ascending order. -2/673, 1/4, 4/7 Put 1/8, 143.8, -1, 12, 0 in descending order. 143.8, 12, 1/8, 0, -1 Put 0.036, -2, -22, -1/6, -57, -1 in decreasing order. 0.036, -1/6, -1, -2, -22, -57 Put 2/5, -0.004, -8.444, -1/8 in descending order. 2/5, -0.004, -1/8, -8.444 Sort -778, 86, -4, -1 in descending order. 86, -1, -4, -778 Sort 0.5, 0.011, -1, 0.2, 0.3 in increasing order. -1, 0.011, 0.2, 0.3, 0.5 Put -6/71, 3, 154 in descending order. 154, 3, -6/71 Sort -2, -7, 796 in decreasing order. 796, -2, -7 Put 265, -2, -8 in increasing order. -8, -2, 265 Put 0, 5, 12, 598 in decreasing order. 598, 12, 5, 0 Put 0, -3, 9, -532, 3 in decreasing order. 9, 3, 0, -3, -532 Put -14, 156310, 5 in descending order. 156310, 5, -14 Sort 0.2, 1, -23188 in increasing order. -23188, 0.2, 1 Put -12, 12, -83 in decreasing order. 12, -12, -83 Sort -7469, -0.3, 6. -7469, -0.3, 6 Sort 4, -5, -6, 5, -3, -166 in increasing order. -166, -6, -5, -3, 4, 5 Put -117, 7, -5 in descending order. 7, -5, -117 Put 5, -128, 0.4, -1/5, 1 in decreasing order. 5, 1, 0.4, -1/5, -128 Put -4, -397, -2/9 in ascending order. -397, -4, -2/9 Sort 275, -0.3, -4, -0.5, 0.017 in decreasing order. 275, 0.017, -0.3, -0.5, -4 Put -12, -69, 522, -3, -4 in descending order. 522, -3, -4, -12, -69 Put 2/5, -0.2, -0.00746, -1/4 in descending order. 2/5, -0.00746, -0.2, -1/4 Sort 5, -12, -3, -1, -15 in decreasing order. 5, -1, -3, -12, -15 Put -5/4, 2, -2, -12, -126 in decreasing order. 2, -5/4, -2, -12, -126 Sort -40, 10, 5, 1 in decreasing order. 10, 5, 1, -40 Put 5, -3746, 0.01 in increasing order. -3746, 0.01, 5 Sort -5, -2.376, -39. -39, -5, -2.376 Put -4/5, -2, 2800 in decreasing order. 2800, -4/5, -2 Put 5, -91, -47, 2, 16 in descending order. 16, 5, 2, -47, -91 Put -3, 15, -3806 in ascending order. -3806, -3, 15 Sort 5, 25, -4, -38, 4 in descending order. 25, 5, 4, -4, -38 Put 11, 167, 3 in increasing order. 3, 11, 167 Put 4, 1, 189 in descending order. 189, 4, 1 Sort 2/23, 2189, 2/5 in ascending order. 2/23, 2/5, 2189 Put 0.4, -0.17, 3, -2, 0.05, 49 in descending order. 49, 3, 0.4, 0.05, -0.17, -2 Put 7, 2/9, -3, -2, -1, 78 in descending order. 78, 7, 2/9, -1, -2, -3 Put 18, 0.66, -4, 5 in decreasing order. 18, 5, 0.66, -4 Sort -2, 7, 8755. -2, 7, 8755 Put -66, -1/3, 7.1, -1/6, 5, 1/9 in descending order. 7.1, 5, 1/9, -1/6, -1/3, -66 Sort 3, -3, 1303, 4, 1 in descending order. 1303, 4, 3, 1, -3 Sort 149, 31, -13, -2 in ascending order. -13, -2, 31, 149 Sort -0.4, -135, -5/4, -5/3 in ascending order. -135, -5/3, -5/4, -0.4 Put 332, 0.08, -5, -2, -2/31 in decreasing order. 332, 0.08, -2/31, -2, -5 Sort 1/3, 5, -546.5, -42. -546.5, -42, 1/3, 5 Sort -5, -4, 5, 4, -422 in descending order. 5, 4, -4, -5, -422 Put 38.1, -1.9, -4 in descending order. 38.1, -1.9, -4 Put 2, -3, -5, 6660 in decreasing order. 6660, 2, -3, -5 Put -1, -73, 91 in ascending order. -73, -1, 91 Put -5825, -6/11, -1/4 in decreasing order. -1/4, -6/11, -5825 Sort 47, -3, -9, -17, -4, -5 in descending order. 47, -3, -4, -5, -9, -17 Sort 3786, -4, 74 in decreasing order. 3786, 74, -4 Sort 0, -0.08939, 1, -2/7, -7, 5 in decreasing order. 5, 1, 0, -0.08939, -2/7, -7 Put -3, 24, -5, -430, 5 in decreasing order. 24, 5, -3, -5, -430 Put -10, -63707, -1 in increasing order. -63707, -10, -1 Sort 251, -122, -3, -1, -2 in ascending order. -122, -3, -2, -1, 251 Sort -19, 3, 19, -98 in ascending order. -98, -19, 3, 19 Sort -4, -493, 30, -5, 2. -493, -5, -4, 2, 30 Sort 0.5, 0.71, 0, -4, -2 in descending order. 0.71, 0.5, 0, -2, -4 Put -4, -2/3, 2462, -0.5, 5 in ascending order. -4, -2/3, -0.5, 5, 2462 Put 2, -3073, 314 in ascending order. -3073, 2, 314 Put 4, -22, 115, -1 in ascending order. -22, -1, 4, 115 Put 2, 347001, -8 in decreasing order. 347001, 2, -8 Sort 18, 0.24, 1.2 in increasing order. 0.24, 1.2, 18 Put 365, -3/8, 2, 3 in ascending order. -3/8, 2, 3, 365 Sort -2/31, -27/2, 2/3, -0.07 in decreasing order. 2/3, -2/31, -0.07, -27/2 Put 0.27, 10, 0.2, 1800 in decreasing order. 1800, 10, 0.27, 0.2 Sort 0, -27365, -8, 4, 5. -27365, -8, 0, 4, 5 Put 3, 20/57, 3/4, 2/23 in ascending order. 2/23, 20/57, 3/4, 3 Sort -4, 5, 3, -3777. -3777, -4, 3, 5 Sort 1, -14, 2, -152 in decreasing order. 2, 1, -14, -152 Sort -15, -5, 84, -2, 32, 4 in decreasing order. 84, 32, 4, -2, -5, -15 Sort 2, -10, -28, -3, 3, -5. -28, -10, -5, -3, 2, 3 Put 0.1, -7, -5, 3, 0.3, 2/13 in decreasing order. 3, 0.3, 2/13, 0.1, -5, -7 Put -1/11, 673, -5 in decreasing order. 673, -1/11, -5 Sort -17, -1, -119, -0.11 in descending order. -0.11, -1, -17, -119 Put -176, 3, 27, -10, 5, 1 in descending order. 27, 5, 3, 1, -10, -176 Sort 29406, 37, 2 in descending order. 29406, 37, 2 Sort 24, -17, -8 in descending order. 24, -8, -17 Put 5, -2, -5558, -5 in increasing order. -5558, -5, -2, 5 Put 236, -972, -5 in increasing order. -972, -5, 236 Put 2, -5, 41, 0, -1 in increasing order. -5, -1, 0, 2, 41 Sort 3/4, 0, 2/3, -0.1, -0.18 in descending order. 3/4, 2/3, 0, -0.1, -0.18 Sort 182, -6, 6, 3, -5 in increasing order. -6, -5, 3, 6, 182 Sort -3, -0.0322, -34 in descending order. -0.0322, -3, -34 Sort 3, -7, 1, -1, -18 in increasing order. -18, -7, -1, 1, 3 Put 0.9, -22, 0.73 in increasing order. -22, 0.73, 0.9 Sort -4, 19, 12, -3, 6, 3 in descending order. 19, 12, 6, 3, -3, -4 Put 65, 3/11, 0.5, -4 in decreasing order. 65, 0.5, 3/11, -4 Put -3, 97, -6, -8 in increasing order. -8, -6, -3, 97 Sort 42, -21, 31, -1, -2 in descending order. 42, 31, -1, -2, -21 Sort 5, -5, 2, 3, -270, -2 in decreasing order. 5, 3, 2, -2, -5, -270 Sort -54, 0.2, 25.5, -1/3 in ascending order. -54, -1/3, 0.2, 25.5 Sort 5, -2102, 3, -5 in increasing order. -2102, -5, 3, 5 Sort 2, 4, -21841 in ascending order. -21841, 2, 4 Put 4/7, -3, 5, 4388 in descending order. 4388, 5, 4/7, -3 Sort -85, 768, -13. -85, -13, 768 Sort -0.5, -0.76, 0, 0.15, 0.2 in increasing order. -0.76, -0.5, 0, 0.15, 0.2 Sort -3, -42, 6, 2, -36 in descending order. 6, 2, -3, -36, -42 Sort 5, -1, 4, -5, 79 in descending order. 79, 5, 4, -1, -5 Sort 3, -5, -3, -1, -825, 5. -825, -5, -3, -1, 3, 5 Sort 18, 2505, -4 in decreasing order. 2505, 18, -4 Sort 2, 27, 5, 1, -63, 0 in decreasing order. 27, 5, 2, 1, 0, -63 Sort -3, 3, -555, 0, -1 in increasing order. -555, -3, -1, 0, 3 Sort -1, 3773, -7. -7, -1, 3773 Sort 2, -24, -2537, 4 in increasing order. -2537, -24, 2, 4 Sort 22736, 5, -2 in increasing order. -2, 5, 22736 Sort -6, -1, 80, -2, 2/15. -6, -2, -1, 2/15, 80 Sort 26, -2/7, -66, 3/7 in ascending order. -66, -2/7, 3/7, 26 Sort 12, 7, 105, -4, 5 in decreasing order. 105, 12, 7, 5, -4 Sort 6, 31, 3, -28 in ascending order. -28, 3, 6, 31 Sort -1, 1, -28, -
{ "pile_set_name": "DM Mathematics" }
4 + 27. Let k(o) = o - 2. Let s be k(d). Suppose -3 + s = -u. Solve a - u = -3*v, 4*a - 21 = v - 0*v for a. 5 Suppose u + 474 = 4*z, -3*z = -8*z + 3*u + 589. Suppose -z = -3*y - 4*y. Solve 4*b = 3*n + 16, n - y - 3 = -5*b for n. 0 Let h be ((-16)/(-2) + 1)/(11 - 12). Let l be (5 + 49/(-9))*h. Let z be (18/(-12))/((-2)/l). Solve -3*q - 3*m + z = 0, 0 = -m - 0*m - 2 for q. 3 Suppose -2*a + 2*b = 208, -3*a + 0*b - 322 = 2*b. Let l = a - -111. Suppose 3 = t + 1. Solve l*k = 3*y + 1, 3*y = 2*y + t*k - 1 for y. 3 Let o = 7 + -7. Let v be 107 - ((-144)/(-78) + (-2)/(-13)). Suppose v*x = 101*x + 48. Solve -4*d + 3*j + 12 = 0, -3*d - x = -o*d + 3*j for d. 0 Let y = 61 - 31. Suppose y = 5*q + 5. Let z be 140/16*((-27)/(-63) + (-25)/(-7)). Solve 4*l + z = -l + q*x, 0 = -l - 2*x + 2 for l. -4 Let s be ((48/20)/(-6) + (-81)/(-15))*1. Solve -2*l = -s*m - 7*l + 5, -5*l + 5 = 0 for m. 0 Let x(s) = -s**3 + 12*s**2 - 40*s + 120. Let i be x(9). Solve i*k = l - 9, 6*l - 25 = 9*l + 4*k for l. -3 Suppose 347 = -6*g + 407. Suppose g*n - 3*z - 42 = 8*n, 2*z = 4*n - 68. Solve -5*b + n = -u, -4*b - u + 28 = -5*u for b. 2 Let y = -280 - -323. Suppose 5*j - 2*o = y, 8*o - 11*o - 26 = -2*j. Solve 5*r = 4*l + 11, -4*r + 4*l + l + j = 0 for r. 3 Let f(v) = -6*v - 200. Let b be f(-38). Let o be (-6 - -3 - b/(-12))*-6. Solve o = p + h, 3*p + 0*h = -2*h + 11 for p. 3 Let g be ((-4)/(-5))/(9/(-45)). Let h be 26/143 - g/(-22). Suppose -y + 4 = -3*p + 3, -2*y - 5*p + 13 = h. Solve 2 - 12 = 3*v + w, v + y*w - 4 = 0 for v. -4 Let w be (15972/154)/22 - 4/(-14). Solve 0 = -2*p - 0*p, -w*n + 25 = -5*p for n. 5 Suppose w + 4 = 5*w + 4*z, 1 = -w + z. Let b(i) = -176*i + 1953. Let t be b(11). Let j = t - w. Solve -30 = y - 5*q - 6, 4*q - j = 3*y for y. 1 Let n be 52/(4 - 8) + 5. Let g be ((-8)/(n/4))/(7/14). Solve 0*f - 5*u - 10 = -5*f, 5*u + g = 3*f for f. 1 Suppose -4*h - 4*t - 79 - 65 = 0, -44 = h - 3*t. Let y(w) = 11*w - 482. Let d be y(48). Let v = h + d. Solve -3*r + 3 = 0, r - v = -m - 4*r for m. 3 Suppose -3*i = 4*m - 8 - 8, -4*i = 0. Solve -3*u - m = -4*u, -4*x + 16 = 3*u for x. 1 Let s(t) = -83*t + 419. Let p be s(5). Solve 40*r - 29 = 4*b + 37*r, 22 = -2*b + p*r for b. -5 Suppose 5*l = 3*r + 63, l + 2*l = 3*r + 39. Suppose -6*c = 2*n - c - 22, n = -3*c + l. Suppose n = -6*p + 9*p. Solve -5*s - p*t = 0, 4*t = -s - 12 - 6 for s. 2 Let y = 299 - 314. Suppose -3*k + 78 - 18 = 0. Let z = k + y. Solve 4*v + 2 = -3*o, -2*v = z*o - 6 - 0 for v. -2 Suppose 36*p - 6 - 92 = 46. Solve 6 + 6 = -p*b + 3*v, 4*b = 5*v - 12 for b. -3 Suppose 0 = 2*l + 5*d - 6, 7*d + 4*d + 66 = 0. Solve -2*o + 2*f + l = 0, 3*o = 5*f - 7*f + 7 for o. 5 Let z(u) = -3*u + 65. Let a be z(5). Let r = 35 - a. Let m be (-15)/r + (12/(-2))/(-2). Solve 3 = -m*x - 13, 0 = -d + 4*x + 19 for d. 3 Let p(j) = 1. Let m(g) = 13*g - 5. Let y(k) = m(k) - 2*p(k). Let i = 366 + -365. Let x be y(i). Solve 3*o + 15 = -v + x*v, -2*o - 10 = -v for v. 0 Let b(c) = 34*c + 104. Suppose 4*k - 3*i + 3 = 0, 2*k - 5*k = i + 12. Let r be b(k). Solve -s = 4*g - r*g - 3, -2*g = -2*s - 6 for g. 2 Let h(s) = s**3 + 13*s**2 - 45*s + 18. Let r be h(-4). Solve -4*q + 322 - r = 0, 0 = u - q for u. -5 Suppose -240*h - 354*h = -473*h. Suppose 5*q - 8 = -4*p + 9, 4*q + 3*p = 14. Solve 0 = -v + q*y - h*y, 19 = -4*v + y for v. -5 Let u = -2392 + 2393. Suppose -2*m - 20 = 4*z + m, 0 = -m. Let d = z + 5. Solve f + k + d + u = 0, 5*f = -k - 9 for f. -2 Let i(u) = 357*u + 3573. Let p be i(-10). Solve 4*w - 3*l - 18 = 0, -w - p*l = 17 + 1 for w. 0 Let p be (-4)/((-20)/(-125)) + 3. Let w = p + 19. Let g(n) = n**3 + 2*n**2 - 4*n + 1. Let j be g(w). Solve 0 = -j*y + 2*x - 14, -7*y + 3*y - 19 = 3*x for y. -4 Suppose -47*a = -41*a - 48. Let y(f) = -f**3 + 8*f**2 + 3*f - 8. Let t be y(a). Solve -t = -2*h + 3*s, 2*h + 4*s - 5 = -3 for h. 5 Suppose 0 = -6*q + 5*q. Let b be 715/182 + (-4)/(-56). Solve b*z - 35 = -3*h, 0 = 4*z - q*h - 4*h for z. 5 Suppose 10*z = 16*z - 7 - 11. Solve 6*b + 24 = 9*b + 5*v, -3*b + 4*v = z for b. 3 Let h = -368 - -362. Let g be h/(2 + -1) + 11 + -3. Solve -3*q = -2*w - 4*q + 4, -g*q + 8 = -2*w for w. 0 Suppose 48*o - 122*o + 740 = 0. Solve -t = -5, t + o = -3*r + 3*t for r. 0 Suppose 14*y = -0*y + 140. Suppose -y*d + 8*d = -4*d. Solve -j + 9 = -4*o, j - 7 = 3*o - d*o for j. 1 Let q(b) = 5*b**2 - 82*b - 266. Let m be q(-3). Solve n = 3*a + 5, 3*n - m + 10 = -2*a for n. 5 Let n(j) = 6*j + 3. Let u be n(3). Let m(y) = 2*y**2 - 29*y + 9. Let i be m(14). Let b be i/(18/(-4) - -2). Solve u = 2*k - 5*x, 11 = -0*k + b*k - 3*x for k. -2 Let k = -4 + 7. Suppose -6*c + 4*c = 3*c. Suppose c = -7*b - 14 + 35. Solve 3*z = -b*x, -4*x + 2*z = -3*x - k for x. 1 Suppose 366 = -99*m + 586 + 770. Solve -n + m = -56*k + 52*k, -2*n - 2*k = 10 for n. -2 Let f be 0 + 4/10 + 4/(-10). Suppose t + 0*j + 4*j = -6, t + j - 3 = f. Suppose 4*b - t = 10. Solve 5*w + 25 = -5*z, 0 = 5*z - b*w - 6 - 5 for z. -1 Suppose -y = -2*k + 12, 13*y - 2*k = 15*y - 18. Solve 5 = 5*f + y*z, -9*z = 4*f - 8*z - 1 for f. -1 Let z(f) = -2*f**2 - 37*f + 4. Let c be z(-22). Let j = c - -150. Solve 0 = -5*s + 2*t - 23, j = s + 2*t + 8 - 1 for s. -5 Let x be ((-5)/((-275)/(-40)))/(16/(-88)) - 2. Solve -6 = 2*m + x*z, -17 = 67*m - 62*m + 4*z for m. -5 Let t(x) = -2*x**3 - 7*x**2 - x - 9. Let q be t(-5). Suppose 3*b - 31 - q = 0. Let a = b + -30. Solve 3*d + 14 = -4*f + d, 0 = -4*f + a*d - 32 for f. -5 Let c(t) = -5*t**2 + 133*t + 196. Let q be c(28). Solve 0*d - d + 25 = -4*w, -5*w + 3*d - 40 = q for w. -5 Let d = 18760 + -18745. Solve -3*s + 10*i - d = 14*i, -25 = 5*s - i for s. -5 Let d = -13 - -357. Suppose 20*c - d = -44. Solve -2*p = -6, 2*z - c = 4*z - 5*p for z. 0 Suppose 15*w - 11*w + 2*y - 36 = 0, -y + 8 = 0. Suppose -2*s + 2 = -2. Solve h = s*v - 4, -w*h = -v - 4*v for h. 4 Let h be (1 - 7) + (11 - 4/2). Solve -92*y + 95*y + 2*n = -13, 0 = -h*y - 3*n - 15 for y. -3 Suppose -3*b + 434*a - 430*a = -18, 2*a + 12 = 3*b. Solve -8*c + 5*c - 11 = r, -5*c = -b*r for c. -2 Let f(h) = -h**3 + 11*h**2 - 18*h + 18. Let t(w) = w + 16. Let d be t(-7). Let p be f(d). Let x = 1 + 6. Solve -x*u + 3*u = 3*n - p, 2*n - 7 = -u for u. 3 Let y be ((-484)/(-66))/((-16)/(-18) + -1). Let a = 69 + y. Solve -w + 4*p - 15 = -a, -4*w + 3*p + 4 = 0 for w. 4 Suppose 3*v - 60 = -4*i, -51 = -3*i + 1450*v - 1453*v. Solve -10*y - 13 = 3*m - i*y, -m - 9 = 5*y for m. -4 Let w(o) = 5*o**3 - 2*o**2 + 1. Let h be w(1). Let p = 15 - 15. Suppose 95*k + 24*k - 595 + 119 = 0. Solve 3*y + 14 = -p*a - 2*a, k*a = h*y + 12 for y. -4 Let m = -10 + 23. Let y = -9 + m. Suppose 67*g + 34 - 348 - 892 = 0. Solve 2 = 4*p - g, p = -y*s - 3 for s. -2 Suppose 0 = 44*q - 53*q + 3555. Let c = q + -385. Solve -5*n + c = -3*i, -2*i = -5*n + 9 + 6 for i. 5 Suppose -p + 1 + 9 = 0. Let d = -698 + 700. Suppose -w + 5*r = -p, -6*w + d*w + r + 2 = 0. Solve -3*v = -2*x - 3, -x + 2*v + w = 1 for x. -3 Let h(r) = -r**2 + 12*r + 22. Let k be h(13). Suppose 15 = -4*i - 65. Let x be i/(-6)*(-18)/(-12). Solve -n + k = -x*y - 15, 0 = -n - 5*y - 26 for n. -1 Let o(b) = b**2 - 28*b - 2. Let x be o(25). Let u be x/14*8*3/(-66). Solve 0 = -m - 5*j + 9, -3*j = -2*j - u for m. -1 Let u(w) = 3*w - 87. Let l be u(29). Suppose l = -2*y - h, -3*y + 9*h - 6*h = -18. Solve -y*j + 1 = 2*z - 3, 0 = 3*z - 4*j - 6 for z. 2 Suppose -4644 = -68*z + 25*z. Suppose 115*m - z*m = 84. Solve -j = 4*i + m, -7*i + 2*i = 5*j for i. -4 Let s be 0 - (-24)/(-72)*(-15 + -3). Solve -4*z + 1 = -5*m, 48*m - 5*z = 49*m + s for m. -1 Let r(m) = 3*m**3 - 2*m**2 + 7*m - 7. Let g be r(2). Suppose -4*y - 11 = -g. Solve -2*o = 0, -2*k + y*o = 2*k for k. 0 Suppose 60 = -661*j + 681*j. Solve 0 = -2*i - 4*c - 1 + 5, 0 = -j*i + 4*c + 16 for i. 4 Let s be 2/1*(-6)/(-4). Let j(g) = -16*g - 90. Let k be j(-6). Suppose -5 = s*b - 4*y, 3*y - k*y = b - 20. Solve 0 = 5*w + 5*x, 5*w + x + 15 = -b for w. -5 Let f(i) = 40*i - 34. Let s be f(5). Suppose -c + 47 = -3*y + 12, y - s = -4*c. Solve 3*p - 3*l - 2 = 5*p, -5*p + 4*l = -c for p. 5 Suppose 95*c + 3*c = -30*c + 384. Solve o = -5*l - 3*o + 16, 2*l - 5 = -c*o for l. 4 Let x = -11 + 5. Let m(v) = v**2 + 4*v + 2. Let t be m(x). Let b(o) = o**2 + 49*o + 582. Let g be b(-20). Solve -g*q = 10, -q - 1 = 2*d + t for d. -5 Suppose -36 = k + 3*k, -2*k = -z + 20. So
{ "pile_set_name": "DM Mathematics" }
392775? -523697 What is next in 1018, 8230, 27836, 66040, 129046? 223058 What is the next term in 3763003, 7526008, 11289013, 15052018? 18815023 What is the next term in -1050, -4177, -9374, -16641? -25978 What comes next: 5923992, 5923988, 5923982, 5923974, 5923964, 5923952, 5923938? 5923922 What is the next term in 298, 2719, 9500, 22891, 45142, 78503, 125224, 187555? 267746 What is next in 3620, 2644, 1668, 692, -284, -1260? -2236 What is next in -19432120, -19432121, -19432122, -19432123, -19432124? -19432125 What is next in 18819, 18986, 19281, 19710, 20279, 20994? 21861 What is next in -1550695, -3101371, -4652047, -6202723, -7753399? -9304075 What is next in 1351, 98, -1155, -2408? -3661 What is the next term in -6869, -13274, -19605, -25826, -31901? -37794 What comes next: 6062, 24080, 54078, 96056, 150014? 215952 What is next in -708282, -1416560, -2124840, -2833122? -3541406 What is next in -93112, -744912, -2514098, -5959366, -11639412? -20112932 What is next in -9355, -37485, -84377, -150031, -234447? -337625 What is next in 10409, 11049, 11685, 12317, 12945, 13569, 14189? 14805 What is the next term in -4455794, -4455797, -4455800, -4455803, -4455806, -4455809? -4455812 What is the next term in -25984836, -51969686, -77954536, -103939386? -129924236 What is the next term in -299662, -299664, -299666, -299668? -299670 What comes next: -2112, -8075, -17962, -31767, -49484, -71107? -96630 What comes next: 73897, 147868, 221877, 295942, 370081, 444312, 518653, 593122? 667737 What is the next term in -184289, -184373, -184515, -184715, -184973, -185289? -185663 What is the next term in -1915, -1958, -1939, -1834, -1619, -1270? -763 What comes next: -44390141, -88780282, -133170423, -177560564, -221950705? -266340846 What is next in 19423045, 38846085, 58269125? 77692165 What comes next: 335164282, 670328565, 1005492848, 1340657131, 1675821414, 2010985697? 2346149980 What is next in 17204, 28039, 38874, 49709, 60544, 71379? 82214 What is next in 2531, 7196, 14893, 25628, 39407, 56236? 76121 What comes next: -838, -1122, -1434, -1774, -2142? -2538 What is next in -30038, -240152, -810484, -1921142, -3752234, -6483868? -10296152 What is the next term in 1027600, 1027587, 1027586, 1027603, 1027644? 1027715 What comes next: -68246128, -68246132, -68246136, -68246140? -68246144 What comes next: 5053031, 10106157, 15159283, 20212409, 25265535? 30318661 What comes next: -3071, -5952, -8607, -10922, -12783, -14076? -14687 What comes next: 472, -3, -1482, -3965, -7452? -11943 What is next in 204149, 408298, 612447, 816596, 1020745? 1224894 What comes next: 36759, 36725, 36673, 36603, 36515, 36409? 36285 What is next in 1363, 10691, 36037, 85411, 166823, 288283? 457801 What is the next term in 35383, 141469, 318271, 565783, 883999, 1272913, 1732519, 2262811? 2863783 What comes next: 48351, 192909, 433831, 771117, 1204767, 1734781? 2361159 What is next in 79452, 77842, 76222, 74586, 72928, 71242, 69522, 67762? 65956 What is next in 17313, 23802, 30291, 36780, 43269, 49758? 56247 What is next in 2870, 3291, 3988, 4961? 6210 What comes next: 96031, 192057, 288083, 384109, 480135, 576161? 672187 What comes next: 1152, 5258, 12100, 21678, 33992, 49042? 66828 What is the next term in -110490, -220984, -331492, -442014, -552550? -663100 What comes next: -250439800, -500879606, -751319412, -1001759218, -1252199024, -1502638830? -1753078636 What is the next term in -4370, -4422, -4514, -4652, -4842, -5090, -5402, -5784? -6242 What is next in 8380870, 8380867, 8380864? 8380861 What is next in 2081, 3380, 4711, 6074? 7469 What is the next term in 687633, 687690, 687747, 687804, 687861, 687918? 687975 What is the next term in 66820, 133652, 200536, 267496, 334556? 401740 What is the next term in -841001, -1682025, -2523047, -3364067? -4205085 What is the next term in 254657, 509399, 764141, 1018883, 1273625, 1528367? 1783109 What is next in -4313, -5092, -5781, -6380, -6889, -7308, -7637? -7876 What is next in 251538, 250277, 249016, 247755? 246494 What is next in 2487, 4975, 7521, 10125, 12787? 15507 What is next in -4772811, -4772814, -4772807, -4772784, -4772739, -4772666? -4772559 What is the next term in -157779, -316308, -474837, -633366, -791895? -950424 What is the next term in -109485, -218831, -328049, -437139? -546101 What is the next term in -324826, -324997, -325170, -325345, -325522? -325701 What is the next term in -131196, -131227, -131274, -131331, -131392, -131451, -131502, -131539? -131556 What is the next term in 12789207, 25578417, 38367627, 51156837, 63946047, 76735257? 89524467 What comes next: 134238, 537043, 1208390, 2148285, 3356734, 4833743? 6579318 What is next in 234140, 234154, 234180, 234224, 234292? 234390 What comes next: -5823, -46502, -156833, -371616, -725651, -1253738, -1990677, -2971268? -4230311 What comes next: 4714, 19567, 44394, 79195? 123970 What is next in 87528, 175381, 263236, 351093, 438952, 526813? 614676 What comes next: -121141, -121019, -120841, -120601, -120293, -119911? -119449 What comes next: -2878, -23394, -79116, -187648, -366594, -633558? -1006144 What comes next: -43666, -174709, -393120, -698905, -1092070, -1572621, -2140564? -2795905 What comes next: -13454, -53927, -121390, -215843? -337286 What is the next term in -50747, -101605, -152475, -203363, -254275, -305217, -356195? -407215 What is the next term in 10132, 10107, 10064, 10003? 9924 What is next in -122, -755, -2246, -4955, -9242, -15467, -23990? -35171 What comes next: 1058, 7236, 18556, 35018, 56622? 83368 What is next in 23551079, 23551101, 23551121, 23551139, 23551155, 23551169? 23551181 What is next in 10292857, 10292862, 10292869, 10292878, 10292889, 10292902? 10292917 What comes next: 195263, 390375, 585507, 780671, 975879? 1171143 What comes next: 33941, 34201, 34461? 34721 What comes next: -53348052, -106696104, -160044158, -213392214, -266740272? -320088332 What comes next: -28182204, -56364421, -84546638, -112728855, -140911072? -169093289 What comes next: -29088, -117157, -263936, -469425, -733624? -1056533 What comes next: 9738, 19921, 30522, 41529, 52930, 64713, 76866, 89377? 102234 What is next in 147315, 147689, 148313, 149187, 150311? 151685 What comes next: -3227777, -12911123, -29050037, -51644525, -80694593, -116200247, -158161493? -206578337 What is next in 7885168, 15770336, 23655504? 31540672 What is the next term in -89330, -178667, -268024, -357407, -446822, -536275? -625772 What comes next: -25041985, -50083949, -75125913, -100167877? -125209841 What is next in 15602, 31109, 46518, 61829? 77042 What is next in 12395, 7552, 2709, -2134, -6977? -11820 What comes next: -1430, -5110, -10626, -17474, -25150? -33150 What is the next term in 2679, 10130, 21515, 35988, 52703, 70814? 89475 What comes next: 1507, 6425, 14639, 26149? 40955 What is the next term in 90775, 181989, 273639, 365725, 458247, 551205? 644599 What is next in 98928, 197831, 296734, 395637, 494540, 593443? 692346 What is next in -1724, -6701, -15028, -26705, -41732? -60109 What is the next term in -419, -1061, -2117, -3575, -5423, -7649? -10241 What is next in -185867139, -371734280, -557601421, -743468562? -929335703 What comes next: -17945052, -17945093, -17945134, -17945175, -17945216, -17945257? -17945298 What comes next: 3529778, 14119113, 31768004, 56476451, 88244454, 127072013, 172959128? 225905799 What is the next term in -1113, -4069, -8863, -15495, -23965, -34273? -46419 What comes next: 54, 95, 298, 771, 1622, 2959? 4890 What comes next: -1716, -7539, -17474, -31521, -49680, -71951? -98334 What comes next: -1128921, -1128923, -1128925, -1128927? -1128929 What is next in 13508, 107410, 362282, 858608, 1676872, 2897558, 4601150? 6868132 What is the next term in 206961, 827343, 1861313, 3308871, 5170017, 7444751, 10133073? 13234983 What is next in -20340, -22574, -24812, -27054? -29300 What is next in 17442497, 17442528, 17442609, 17442764, 17443017, 17443392, 17443913, 17444604? 17445489 What comes next: 161463, 161820, 162175, 162528, 162879, 163228, 163575? 163920 What comes next: -509, -1499, -3159, -5501, -8537, -12279, -16739, -21929? -27861 What comes next: -47778, -190748, -428916, -762282, -1190846, -1714608? -2333568 What comes n
{ "pile_set_name": "DM Mathematics" }
t replacement from ppsspppssssppppssps? 5/19 What is prob of sequence vtv when three letters picked without replacement from vttttvtvvvtv? 3/22 What is prob of sequence dvv when three letters picked without replacement from {u: 2, v: 4, j: 6, g: 1, d: 7}? 7/570 Calculate prob of sequence woc when three letters picked without replacement from wfkfoccffcckkfffk. 1/1020 Calculate prob of sequence xns when three letters picked without replacement from qxsqnxbsbnqxsxsqxnvn. 2/171 Four letters picked without replacement from ezaymazm. Give prob of sequence zeaz. 1/420 Calculate prob of sequence vv when two letters picked without replacement from {z: 1, v: 3}. 1/2 Calculate prob of sequence ttt when three letters picked without replacement from tttttttbetttt. 15/26 Two letters picked without replacement from {s: 4, t: 1, l: 1, h: 1, j: 4}. Give prob of sequence jt. 2/55 Calculate prob of sequence yyyk when four letters picked without replacement from {k: 7, y: 9}. 21/260 What is prob of sequence ll when two letters picked without replacement from {b: 2, l: 8}? 28/45 Four letters picked without replacement from {l: 2, g: 8, v: 3, q: 2}. What is prob of sequence qqgv? 2/1365 Three letters picked without replacement from {c: 5, z: 3, g: 5}. Give prob of sequence zcz. 5/286 What is prob of sequence ggl when three letters picked without replacement from lgelelleellellelge? 1/272 Four letters picked without replacement from {c: 4, n: 2}. Give prob of sequence cncc. 2/15 Two letters picked without replacement from blbblblllllllblllll. What is prob of sequence bl? 35/171 Two letters picked without replacement from {t: 1, k: 1, u: 4, x: 2, c: 11, n: 1}. Give prob of sequence nk. 1/380 Calculate prob of sequence qd when two letters picked without replacement from {e: 1, m: 5, d: 3, q: 6}. 3/35 Calculate prob of sequence dnde when four letters picked without replacement from edepnenndneee. 2/715 Two letters picked without replacement from fffsfffsfffff. What is prob of sequence ss? 1/78 What is prob of sequence hkw when three letters picked without replacement from hwkwkhkewewwk? 10/429 Three letters picked without replacement from lltmq. What is prob of sequence lml? 1/30 Two letters picked without replacement from uueeueeeeeueueee. Give prob of sequence eu. 11/48 Calculate prob of sequence xoh when three letters picked without replacement from {x: 4, e: 4, m: 5, o: 1, h: 1}. 2/1365 Calculate prob of sequence whww when four letters picked without replacement from qwqwqwhqhqwh. 1/165 Three letters picked without replacement from dssfdfsfffsidf. Give prob of sequence sfi. 1/91 Calculate prob of sequence ug when two letters picked without replacement from uuadgg. 2/15 Calculate prob of sequence uu when two letters picked without replacement from uukuuukuukkku. 14/39 Three letters picked without replacement from jjzz. Give prob of sequence zjj. 1/6 What is prob of sequence wgw when three letters picked without replacement from {l: 1, k: 4, a: 1, w: 2, p: 4, g: 3}? 1/455 Two letters picked without replacement from {r: 1, s: 3, k: 2, m: 6, t: 2}. Give prob of sequence mt. 6/91 Calculate prob of sequence ir when two letters picked without replacement from {h: 2, r: 5, i: 3}. 1/6 Two letters picked without replacement from bxooxyo. Give prob of sequence xb. 1/21 Calculate prob of sequence ur when two letters picked without replacement from {r: 2, u: 4}. 4/15 Four letters picked without replacement from {d: 7, h: 2, c: 3}. Give prob of sequence dcdh. 7/330 Three letters picked without replacement from {r: 6, s: 1, q: 2, w: 9, n: 1}. Give prob of sequence qww. 8/323 What is prob of sequence ig when two letters picked without replacement from gidii? 3/20 Three letters picked without replacement from izdruzduiikr. Give prob of sequence idi. 1/110 Two letters picked without replacement from {c: 2, n: 2, s: 1, m: 1}. What is prob of sequence sm? 1/30 Calculate prob of sequence txo when three letters picked without replacement from {t: 5, x: 1, o: 1, b: 7}. 5/2184 Calculate prob of sequence bw when two letters picked without replacement from {w: 2, b: 6}. 3/14 Two letters picked without replacement from {n: 1, q: 1, z: 1, s: 5, r: 3}. Give prob of sequence zq. 1/110 What is prob of sequence bal when three letters picked without replacement from {a: 4, l: 1, b: 5, z: 6}? 1/168 What is prob of sequence cs when two letters picked without replacement from ztyzycsykttysc? 2/91 Three letters picked without replacement from ttbtbbbtbtbt. Give prob of sequence ttb. 3/22 Calculate prob of sequence kiik when four letters picked without replacement from kiikciiick. 1/42 What is prob of sequence opp when three letters picked without replacement from {p: 5, g: 2, i: 1, o: 1, u: 3}? 1/66 What is prob of sequence rzr when three letters picked without replacement from uzrzzuzuuzzzr? 7/858 Calculate prob of sequence sa when two letters picked without replacement from {a: 1, q: 4, s: 3}. 3/56 Two letters picked without replacement from {r: 7, e: 3}. What is prob of sequence rr? 7/15 Three letters picked without replacement from {h: 3, g: 1, s: 2, o: 1}. Give prob of sequence gso. 1/105 Three letters picked without replacement from lybol. What is prob of sequence lyl? 1/30 Two letters picked without replacement from {t: 1, c: 3, a: 1}. What is prob of sequence ta? 1/20 Calculate prob of sequence wwk when three letters picked without replacement from {w: 2, k: 3}. 1/10 Calculate prob of sequence ms when two letters picked without replacement from {p: 1, s: 1, m: 2}. 1/6 Calculate prob of sequence aaaa when four letters picked without replacement from uaauaaauuuauna. 5/143 Two letters picked without replacement from {n: 4, d: 3, w: 7}. What is prob of sequence wn? 2/13 Two letters picked without replacement from jgjbjgg. What is prob of sequence gb? 1/14 What is prob of sequence wn when two letters picked without replacement from {w: 1, o: 2, n: 1, e: 2, a: 9, t: 3}? 1/306 What is prob of sequence uuus when four letters picked without replacement from sususuu? 3/35 Calculate prob of sequence khhf when four letters picked without replacement from fkhcwkcchk. 1/840 Calculate prob of sequence jzus when four letters picked without replacement from zuununznnzejsu. 1/2002 What is prob of sequence kk when two letters picked without replacement from {e: 3, k: 12}? 22/35 Four letters picked without replacement from bbhbbbbhbhbbbh. Give prob of sequence bhhh. 10/1001 What is prob of sequence kvkv when four letters picked without replacement from {z: 4, f: 4, x: 1, e: 4, k: 2, v: 4}? 1/3876 Four letters picked without replacement from {g: 5, o: 1, m: 3, e: 3, h: 3}. Give prob of sequence mggo. 1/546 What is prob of sequence bb when two letters picked without replacement from lbb? 1/3 Calculate prob of sequence cpz when three letters picked without replacement from urzppcd. 1/105 Calculate prob of sequence ggp when three letters picked without replacement from {g: 2, m: 2, p: 1, o: 1, c: 1}. 1/105 Three letters picked without replacement from {f: 1, v: 2, w: 1, t: 1, c: 2}. Give prob of sequence ctf. 1/105 What is prob of sequence uzi when three letters picked without replacement from {i: 1, u: 2, z: 4, s: 2}? 1/63 Four letters picked without replacement from qbpbqqqqibbqbqqqbbq. Give prob of sequence ibbq. 35/7752 Four letters picked without replacement from {t: 2, q: 7}. Give prob of sequence qqtq. 5/36 Four letters picked without replacement from qqffqffo. Give prob of sequence foqq. 1/70 What is prob of sequence nvzt when four letters picked without replacement from {v: 6, z: 3, n: 1, t: 1, f: 1}? 1/660 Calculate prob of sequence jk when two letters picked without replacement from {b: 4, j: 1, h: 2, l: 3, k: 1, g: 1}. 1/132 Two letters picked without replacement from {f: 1, h: 2, l: 1, u: 2, e: 1}. What is prob of sequence hl? 1/21 What is prob of sequence qa when two letters picked without replacement from {e: 4, q: 1, a: 1, w: 7}? 1/156 Two letters picked without replacement from wwzzalwlwlzwzw. Give prob of sequence lw. 9/91 Calculate prob of sequence xi when two letters picked without replacement from {n: 1, x: 1, i: 9}. 9/110 Calculate prob of sequence ee when two letters picked without replac
{ "pile_set_name": "DM Mathematics" }
Simplify (((((((h**(2/3)/h*h)/h)/h*h)/h*h)/h*h)/(h/h**(-4/9)))/(h**(-10)*h*h**(2/27)))**(-1) assuming h is positive. h**(-193/27) Simplify ((z*z**(-43)*z)**(-1/4))**(-21) assuming z is positive. z**(-861/4) Simplify p**(1/43)*p*p/(p/(p**(9/8)/p))*p**(-12/5)*p*p**(2/11) assuming p is positive. p**(-1323/18920) Simplify (k*k**(-8/7))/k**(-2)*(k/k**(-4))/k**(4/5) assuming k is positive. k**(212/35) Simplify ((j/j**(-2/79))/((j**(-1/10)*j)/j))**(1/4) assuming j is positive. j**(889/3160) Simplify ((c**(-3/23)/c)/c**(1/8))**(11/5) assuming c is positive. c**(-2541/920) Simplify (i**4/(i**(-1)/i)*(i**(1/3))**(5/11))**29 assuming i is positive. i**(5887/33) Simplify (h**(2/23)/h**(2/19))/(h**(-2))**(-16/9) assuming h is positive. h**(-14056/3933) Simplify ((l*(l**10/l*l)/l*l)/(l**(-4/11)*l))/(l**(-3)/l)**29 assuming l is positive. l**(1390/11) Simplify (h**(-2/11)/h)/h**9*h**(2/11)/(h*h**(-2/17)/h) assuming h is positive. h**(-168/17) Simplify j**(-1/48)*j*(j**8/j*j)/j*((j/(j**(1/11)/j))/j)**(2/9) assuming j is positive. j**(12959/1584) Simplify o**29*o**(-11/3)*o**(-17)*o*o**20 assuming o is positive. o**(88/3) Simplify ((t/((t**(2/7)/t)/t)*t*t)/t*t*t*(t/(t**(-1/4)/t))/t*(t**2)**(2/57))**(-8/3) assuming t is positive. t**(-22454/1197) Simplify (k**(-1/14)*(k**(-3/5)*k)/k)/(k*k/(k/(k/k**(-7)))*k)**(-2/37) assuming k is positive. k**(-339/2590) Simplify (k**(6/23)*k*k/(k**(1/29)/k*k))/(k**(3/4))**(8/7) assuming k is positive. k**(6393/4669) Simplify ((x**(-6)*x*x/x**(6/11))/((x*x/(x**0/x)*x*x)/(x*x**(4/7))))**(-22) assuming x is positive. x**(1228/7) Simplify ((r*r*((r*r**(-1/3)*r)/r)/r)**(5/14)*(r*(r*(r/(r/r**2))/r)/r)**25)**30 assuming r is positive. r**(10625/7) Simplify (o/(o**1/o*o))**(8/5)/(o**(-2/3)/o*o/(((o/(o**(-1/3)/o))/o)/o)) assuming o is positive. o Simplify (c/c**(-1))/c**(6/5)*(c*((c**(4/9)/c)/c)/c)/(c/(c/(c*c**(-9/5))*c)) assuming c is positive. c**(47/45) Simplify v**(-11)*v/v**(-14/5)*(v/v**(-1/4))**(-39) assuming v is positive. v**(-1119/20) Simplify ((r**(-7/2)/r)/r)/(r/(r*r/r**(-4/13)))*r**0*r**(-2/51) assuming r is positive. r**(-5611/1326) Simplify ((l**(-2)/l**(-4))/(l**7/(l/l**(-3/5))))**(-37) assuming l is positive. l**(629/5) Simplify g/(g**(-10)/g)*g/(g/(g**(-6)*g))*g*(g**1)**(-9) assuming g is positive. 1/g Simplify ((k/k**(1/5))**(-13/3))**(-1/75) assuming k is positive. k**(52/1125) Simplify (d**(-8))**(3/14)*(d**(-2/7))**(-23) assuming d is positive. d**(34/7) Simplify (t*(t/((t*t**11)/t*t))/t*t**(-5/2))/(t**(-6/7)/(t**(-2)/t)) assuming t is positive. t**(-219/14) Simplify (r**(-1/18)*r)/(r*r/r**(-18)*r)*((r**(-22)/r)/r)**(-36) assuming r is positive. r**(15191/18) Simplify ((((x*x**(2/5))/x*x)**2)**(-2/21))**(-2/9) assuming x is positive. x**(8/135) Simplify (w*(w**(-12)/w)/w)/(w/(w*w/(w/(w/w**5)*w)))*(w*w/w**(-1/5)*w)**10 assuming w is positive. w**14 Simplify (h*((h**15/h)/h)/h*h)/(h**(-2/25)*h)*(h/(h/((h**(1/3)*h)/h)))/h**(-1/25) assuming h is positive. h**(1009/75) Simplify ((y*y*y/(y**(-1/5)/y))**(2/77)/((y/(y/(y/y**(6/11)*y)))/(y**(3/2)/y*y)))**(-42) assuming y is positive. y**(-357/55) Simplify (l/l**21*l/(l*l/(l**(1/5)/l*l)))/((l/l**11)/l)**(-49) assuming l is positive. l**(-2799/5) Simplify (((d/(d*d**5))/(d**(-3/4)*d))/(d**5/d**(-2/7)))**(-47) assuming d is positive. d**(13865/28) Simplify (((u*u**(-1/2)/u)/u)/u*u*u/u**(-2/5))**(-26) assuming u is positive. u**(13/5) Simplify (t/(t*t/(t*t/(t**23/t))))/t**11*(t/(t*t**(9/2)))**(-2) assuming t is positive. t**(-23) Simplify (d/d**(-18)*(d*d*d**23*d*d)/d)/(d**21*d)**(-35) assuming d is positive. d**815 Simplify j**(2/3)*j**12*j/(j*j**(3/8))*j**(-12/5) assuming j is positive. j**(1187/120) Simplify (k**17*k)**(-2/11)*(k*k**(-3/19))**(-1/4) assuming k is positive. k**(-728/209) Simplify f**(2/95)/f**(2/33)*f**(-33)*f**22 assuming f is positive. f**(-34609/3135) Simplify (k*k**(2/61)/k*k*(k/(k*k**(2/23)*k))/k)/((k*k**1)/(k*k**(-10)*k)) assuming k is positive. k**(-15509/1403) Simplify (u**(6/5)*u**(-11/5))/(u*(u*u/u**(-2/13)*u*u)/u)**47 assuming u is positive. u**(-2551/13) Simplify (k/(k/k**(-2/33))*k*k**3)/(k/(k/((k/k**(2/7))/k)))**(-8) assuming k is positive. k**(382/231) Simplify x**(-2)/x**0*x*((x**(2/19)/x)/x)/x*x*x*x*x/(x*x**6) assuming x is positive. x**(-131/19) Simplify (f*f/(f/(f*(f/(f**(2/39)/f))/f))*f**(-27))/(f**(-29/3)*f*f**24*f) assuming f is positive. f**(-525/13) Simplify (h**(1/12)/((h**15*h*h*h*h)/h*h*h))**37 assuming h is positive. h**(-8843/12) Simplify (k*k*k*k**10*k)**21/(k*k**(1/2)*k)**(6/19) assuming k is positive. k**(5571/19) Simplify j/j**8*j*j**(-6/7)*j**(2/15)/(j*j**(-8)) assuming j is positive. j**(29/105) Simplify l*(l*l**4*l)/l*l*l**(-2/9)*((l*l*l**4)/l)/(l/(l/l**(-26))) assuming l is positive. l**(340/9) Simplify r**(-1/3)*r*r**(-1/2)*r**(-14/3)*r*r/(r**22/r)*r*r assuming r is positive. r**(-43/2) Simplify ((v**6*v**0)**9)**49 assuming v is positive. v**2646 Simplify (i**14*i/(i/(i/i**(1/6))))**(1/67) assuming i is positive. i**(89/402) Simplify (((c/c**(1/5))**45)**(-1/32))**47 assuming c is positive. c**(-423/8) Simplify (s*s**(18/5)*s**(-12))/(s**(-2/19))**(-10) assuming s is positive. s**(-803/95) Simplify ((o/(o*o/(o*o**14)*o*o*o)*o)/o)**(-1/7)/(o**(-4)/o*o)**(-5/3) assuming o is positive. o**(-173/21) Simplify u**(1/13)/(u/u**(-33))*(u/u**(-7))**(-2/45) assuming u is positive. u**(-20053/585) Simplify ((b/b**(18/7)*b)/(b*((b*b**(12/5)*b)/b*b)/b))**(-8/3) assuming b is positive. b**(464/35) Simplify ((f/f**(1/7))/((f**5*f)/f)*f**(2/15)/f**1)**26 assuming f is positive. f**(-13676/105) Simplify ((b**(-3)*b*b**(-4/7))/(b*b/(b/(b/(b/(b/((b*b**(2/7)*b*b)/b)))*b*b*b)))**(-9/7))**(-20) assuming b is positive. b**(-900/49) Simplify (l*l/(l*l*l/l**(-18)))**27*(l**(1/5))**(2/3) assuming l is positive. l**(-7693/15) Simplify (t**(-6/13)/((((t**(-2/15)*t)/t)/t)/t))/(((t/t**(-19))/t)/((t/(t*t*t/((t/(t*(t**(2/49)/t)/t))/t)))/t)) assuming t is positive. t**(-185071/9555) Simplify ((f/(f**(2/35)*f))/f)/(f/(f/(f*f**(-4/19))))*(f*f**1)**43 assuming f is positive. f**(55962/665) Simplify (((t*t**3)/(t/t**(-8/5)))/(t**(1/3))**(2/95))**(-12) assuming t is positive. t**(-1588/95) Simplify (((w*w*(w/w**2)/w*w*w*w)/w**(2/37))**(-1/38))**5 assuming w is positive. w**(-545/1406) Simplify (z/(z**(-26)/z)*z)**(-2)*(z**21/z)**(-7/6) assuming z is positive. z**(-244/3) Simplify ((x**12*x)/x**(4/3))/(x**(-2/9)/(x*x/(x*x**9/x))) assuming x is positive. x**(44/9) Simplify (x**(2/3))**34/(x**5*x**(-2/7)/x) assuming x is positive. x**(398/21) Simplify (q**(-3)/(q*q**(-7))*(q*q**(2/5))**(-10))**(2/29) assuming q is positive. q**(-22/29) Simplify w**(-1/8)*(w/(w*w*w**(-2/15)))/w*w**(-9)*w/(w/(w/(w/(w*w**(4/13)*w)))) assuming w is positive. w**(-13547/1560) Simplify (k**2)**(-8/11)*(k**(-6))**(-4) assuming k is positive. k**(248/11) Simplify b**(2/5)*b**19*b**(-22)/b**12 assuming b is positive. b**(-73/5) Simplify s*s**18*s*s**(4/3)/s*s**(-15)*s*s*s*s**(-13)*s assuming s is positive. s**(-11/3) Simplify (w**9*w*w*w/((w*w/(w/w**(-4/3))*w)/w*w)*w)/(w/(w*w**(-8))*w**13) assuming w is positive. w**(-26/3) Simplify (n**(-1/27)/(n/(n/((n*n/(n*n*n**(-14)))/n)*n)))/(n**(-2))**(-3/10) assuming n is positive. n**(-1706/135) Simplify ((i**(-6)/i**1)**(3/29))**32 assuming i is positive. i**(-672/29) Simplify (b/(b*b**(-3))*(b**31/b)/b)**(2/15) assuming b is positive. b**(64/15) Simplify (q**(-2))**(-33)*q**(-1/16)/(q**(1/2)/q*q) assuming q is positive. q**(1047/16) Simplify (p**(-2/3)/(p*p/p**8)*(p*p/p**(2/3))**6)**(2/5) assuming p is positive. p**(16/3) Simplify o/(o/o**(-2/69))*o*((o*o**(-27)/o*o*o)/o)/o*(o**(-2/19)*o*o)**(-5/6) assuming o is positive. o**(-36194/1311) Simplify ((z*z**(-2/43)/z*z/(z/z**(-3)*z))**(-1/28))**(-22/3) assuming z is positive. z**(-319/301) Simplify (z**(4/13))**12*(z**(-34)*z*z)/z*z/z**11 assuming z is positive. z**(-511/13) Simplify (i**19/i**26)**3 assuming i is positive. i**(-21) Simplify (x**(7/2)/x**16)**23 assuming x is positive. x**(-575/2) Simplify ((s*s**(-2/13)*s)/(s**2/s)*(s**1)**(3/2))**(-2) assuming s is positive. s**(-61/13) Simplify ((q*q*q*q*q**(-30)*q)/q*q)/q**(1/3)*q**(2/89)*q**(-5) assuming q is positive. q**(-8093/267) Simplify (t*(t/(t**17/t))/t)**(-1/18)/(t*t**(-23)*t**17*t) assuming t is positive. t**(29/6) Simplify (
{ "pile_set_name": "DM Mathematics" }
. 6 Rearrange y**4 - 2*y**3 - 36 + y**4 + 41 + 4*y**3 + 2*y**2 to n*y**2 + h + g*y + o*y**3 + w*y**4 and give w. 2 Express (2*w - 2*w - 2*w)*(w**2 - 6*w**2 + 4*w**2)*(-3 + 2 - 1) + (-1 + w + 1)*(4*w**2 - 3*w**2 + w**2) in the form z*w + i + x*w**2 + g*w**3 and give g. -2 Rearrange -32 + 9 + 2*d + 16 to v*d + r and give r. -7 Rearrange 0 + b**3 + 2 + b**2 - 3*b**3 + (-2*b + 4 - 4)*(-12*b**2 - 543*b + 543*b) to the form h*b**3 + z*b**2 + k*b + n and give z. 1 Express (-t + 3*t + t)*((-2 - 2 + 5)*(2 - 1 + 1) + 9 - 34 + 20) as y*t + z and give y. -9 Rearrange (-2 + 21 - 4)*((-2 + 1 + 2)*(-n + 2 - 2) + n - 4*n + n + (0 - 3 + 2)*(-n + 0 + 0)) to the form s + o*n and give o. -30 Rearrange -8*a**2 + 2*a**4 + 10*a**2 + a**3 + 1 - a**2 - 3 to q*a + x*a**3 + d + o*a**4 + f*a**2 and give f. 1 Rearrange -2*f + 0*f - 3 + 5 - f to the form y + b*f and give b. -3 Express 24*t**4 - 341*t**2 + 341*t**2 + (-t + 0*t + 0*t)*(t**3 - 4*t**2 + 4*t**2) in the form n*t**4 + j*t**3 + w + s*t + i*t**2 and give i. 0 Express -8 + 0*u + 8 + 4*u**3 + 8*u in the form r*u + d*u**2 + s*u**3 + w and give s. 4 Express (62 - 6 + 27)*(3*u + 0*u - 2 + 0) as s + f*u and give s. -166 Express -s**2 - 12 + 9 - 3 in the form v + w*s**2 + n*s and give v. -6 Rearrange 2*x**4 - 3*x + 3*x**3 + x - 4*x**3 - 1 to f*x + j*x**4 + h + b*x**3 + l*x**2 and give j. 2 Express (p**4 + 2*p - 2*p)*(-2 + 22 - 2 + 17) as x*p**2 + s*p**4 + d*p + m*p**3 + z and give s. 35 Express (-d - 3*d - 4 + 6)*(d - 3*d + 10*d**2 - 7*d**2) in the form c*d**3 + z + s*d + p*d**2 and give s. -4 Express 0*t - 3*t**3 - t - 32 + 30 as q*t + v + i*t**2 + y*t**3 and give y. -3 Express (0*u + 2 - 3*u - 4)*(2*u**2 + 3*u**2 - u**2) in the form o*u + m*u**2 + s*u**3 + v and give m. -8 Rearrange -6 + 0*z**4 - z + 2*z**3 - 4*z**4 + 3 to t*z**3 + y*z**4 + i + u*z**2 + w*z and give y. -4 Express -11*k - 20*k + 9*k as m + n*k and give n. -22 Express -7*h + 4*h - 4*h + 2*h**2 as n + t*h + f*h**2 and give n. 0 Rearrange (55*l**3 + 44*l**3 - 87*l**3)*(0*l + 2*l - 3*l) to the form y*l**2 + a + j*l + p*l**3 + c*l**4 and give c. -12 Express -2*w**3 - 11*w**2 + 13*w**2 + 5*w**4 + w**3 + 1 + 0*w**3 as j*w**2 + u*w + k + m*w**3 + p*w**4 and give m. -1 Express ((-3 + 3 - 1)*(-2 + 2 - i) - 2*i - i + i - i + 2*i - 3*i)*(-2*i + i - 3 + 1) in the form a + o*i + l*i**2 and give o. 6 Express (c**4 + 0*c**4 - 3*c**4)*(-5 - 1 + 2)*(-11 - 14 - 11) in the form t*c**2 + y + b*c**4 + v*c**3 + o*c and give o. 0 Rearrange 3*w**2 + w**4 - 8*w**2 + w**2 - 2*w to the form f*w**3 + l + n*w + h*w**2 + x*w**4 and give h. -4 Rearrange (3*g + 3*g - 7*g)*(-21*g + 6*g + 7*g + (4 - 5 - 1)*(0*g + g + g)) to the form t*g**2 + u*g + m and give t. 12 Rearrange (-17 + 13*f + 17)*(-f**2 + 2*f**2 + 0*f**2 + (4*f - f - 2*f)*(3*f - 2*f + f)) to p*f + o + x*f**2 + t*f**3 and give t. 39 Express (-4*m - 4*m + 3*m + 2)*(-5*m**3 + 3*m**3 - m**3) as z + d*m + h*m**2 + q*m**4 + p*m**3 and give p. -6 Rearrange (-3 + 5 - 3)*(56*k + 51 - 51) to u*k + y and give u. -56 Rearrange 4*g**4 - 6*g**4 + g**4 + (13*g**2 + 11*g - 11*g)*(-2*g**2 + 5*g**2 - 2*g**2) - 2 + 2 - g**4 to m*g**4 + l*g + c + z*g**3 + f*g**2 and give m. 11 Rearrange 2 - 15*x**2 - 2*x + x + 0*x**4 + x**4 to the form l*x**3 + u + p*x**2 + m*x**4 + b*x and give u. 2 Rearrange (2 - 2 + 2)*(8*x**3 + 5*x**3 + 0*x**3) to the form t*x**3 + v*x**2 + u*x + l and give t. 26 Express a - 1 - a**2 - 4*a**4 - a**2 + 2*a**4 + a as l*a**2 + t*a**3 + i*a**4 + c*a + q and give i. -2 Express 5*m**2 + 18*m**2 + 9*m**2 as p + l*m**2 + j*m and give j. 0 Rearrange 9*q - q + 6*q to z + b*q and give b. 14 Rearrange (8 + 2*r - 8)*(-4 - 5 + 4) + r - r - 2*r to h*r + g and give g. 0 Rearrange (-l**2 + 3*l**2 + 0*l**2)*(-3*l**2 + 2*l**2 + 9*l**2) + (l**2 - 3*l + 3*l)*(2*l**2 + 0*l + 0*l) to y*l**3 + v*l + p*l**4 + i + q*l**2 and give p. 18 Rearrange 0*u + 0*u - 3*u**3 + (3*u - 3*u - u)*(-u**2 - 6*u**2 - 2*u**2) to w*u**3 + s*u**2 + i*u + t and give w. 6 Rearrange (3 - 2*l**2 - 3)*(-15 - 7 - 17) to the form s + j*l**2 + w*l and give j. 78 Rearrange p**4 + 219*p**3 - 3*p - 218*p**3 - 3*p**2 - 3*p**4 to the form s*p**2 + u + v*p**3 + r*p**4 + x*p and give s. -3 Express 23*g**4 - 7*g**4 + 4*g + 2*g**3 - 2*g**4 - 11*g**4 as y*g**2 + q*g + p*g**3 + m + c*g**4 and give q. 4 Rearrange -81*r**4 + 74*r**4 - 45*r**4 + (3*r**3 + r**3 - 2*r**3)*(-r + 0*r - r) to f*r**2 + c*r**3 + h + j*r + l*r**4 and give l. -56 Express -4*i + 2*i + 0*i + 5*i in the form r*i + v and give r. 3 Express (1 - 1 + 1)*(-q**2 + 3*q**2 + 0*q**2) + (11*q - 5*q + 9*q)*(-4*q + 2*q + q) + (-3*q + 2*q - q)*(4 + 2*q - 4) in the form f*q + s*q**2 + t and give s. -17 Rearrange 71 + 23*z**2 - 21*z**2 - 10 to the form l + h*z**2 + x*z and give l. 61 Express -g + 13*g + g in the form k + y*g and give y. 13 Rearrange 4*f**2 + 3*f**2 - 12*f**2 to i + m*f**2 + h*f and give m. -5 Express (-6*g + g + 4*g)*(0*g - g - 3*g) as y*g + d*g**2 + k and give y. 0 Rearrange 5*m**3 - 4*m**3 - 4*m**3 + 5*m**3 - 11*m**2 + m - 2 to s*m**2 + o + f*m + q*m**3 and give f. 1 Rearrange 0*v**2 + 7 + 4*v - 6 - 2 - 5*v**2 to the form r*v**2 + d + z*v and give d. -1 Rearrange -9*x**2 + x**3 - 2*x**2 - 11*x**2 to w + m*x**3 + b*x + u*x**2 and give m. 1 Rearrange 89 - 3*j**3 + 2*j - 89 + 18*j**3 to a*j**2 + u*j + y + l*j**3 and give u. 2 Express 10*x**2 - 12*x**2 - 4*x**2 + (-2 + 1 + 4)*(-3*x + 3*x + x**2) + x**2 - 1 + 1 as a*x**2 + v + j*x and give a. -2 Rearrange -30*p**2 + 31*p**2 + 2*p**3 - 2*p + 0*p + 1 + 3*p to the form b*p**3 + a*p**2 + x*p + n and give n. 1 Rearrange -6*f - 65*f + 7*f - 27*f to the form r + d*f and give d. -91 Rearrange 78 - i**3 - 2*i - i**3 + 2*i**2 - 79 to the form u*i**3 + x + n*i**2 + z*i and give x. -1 Express -57*p**2 + 25*p**2 + 2 - p**4 + 31*p**2 + 3*p**3 - p as h + v*p**3 + f*p + d*p**2 + x*p**4 and give f. -1 Rearrange (-5*u**3 - 3*u**3 + u**3)*(-4*u + 3*u + 2*u) to the form k*u + c*u**4 + i + h*u**3 + j*u**2 and give c. -7 Express l + 18*l**3 - 11*l**3 - 6*l**3 - 2*l**3 in the form a + s*l**3 + n*l**2 + f*l and give s. -1 Rearrange -967 + 967 - 10*m to q*m + i and give q. -10 Rearrange (-3 + 2 + 2 + (2 + 2 - 5)*(-4 + 5 + 1))*(3 - 6 - n - 3) to q*n + t and give q. 1 Express -5*t**2 - 10*t**2 + 2*t**2 + 4 as l*t + q*t**2 + a and give a. 4 Rearrange -28*r + 17*r - 29*r to the form y + a*r and give a. -40 Express -2*q**2 + 10*q**2 + 71*q - 70*q + 2*q**4 in the form f + r*q**3 + l*q**2 + n*q**4 + i*q and give n. 2 Rearrange 3*v - v - v + 1 + (-137*v + 61*v + 61*v)*(0 - 3 + 1) to f + q*v and give f. 1 Rearrange m**2 + 3*m**2 + 5*m**2 + 9*m**2 to c + k*m + u*m**2 and give c. 0 Rearrange z - 13*z**3 + 15*z**3 - 3*z**3 + 2 + 2*z**4 to k*z + r*z**2 + y*z**3 + v*z**4 + j and give j. 2 Rearrange j**2 + 19 - 16 - j**3 + 2*j - 2*j to h*j**3 + c + y*j + b*j**2 and give c. 3 Rearrange 0 + 2 - 4*c + 2*c to n*c + v and give v. 2 Express (q**2 + 0*q**2 + q**2)*(1 - 1 - 2)*(27 - 5 + 0) as w*q + m + o*q**2 and give o. -88 Express -2 - 3 - 2 - k**3 + 3 as j*k**2 + b*k + x*k**3 + n and give x. -1 Express -27*d**2 + 2 + 49*d**2 - 14*d**3 - 24*d**2 as w*d**2 + n*d + o + x*d**3 and give w. -2 Rearrange 16*c**2 - 7*c + 3*c + 4*c to v*c + a*c**2 + p and give p. 0 Express -26 + 26 + 2*f**2 in the form m*f**2 + w*f + j and give m. 2 Rearrange 41*y + 39*y + 2*y**3 - 91*y to the form b*y**3 + s + f*y + o*y**2 and give b. 2 Rearrange 0 + 0 + i + (-5 + 2 + 4)*(0 + 0 + 3*i) + 3*i - i + 2*i to g*i + x and give g. 8 Express -15*h - 11 - 6*h + 24*h + 13 in the form a*h + p and give p. 2 Rearrange 1 - 1 - 2*n**4 - 33*n**3 + 2*n**2 + 35*n**3 + n + 1 to x*n**3 + w*n + p*n**4 + d*n**2 + l and give d. 2 Rearrange 40*l - 274*l + 25*l + (-3*l - 5*l + 6*l)*(-2 + 0 + 3) - 2*l - 1 + 1 to the form p + s*l and give s. -213 Rearrange 9*n - 32*n + 75*n to x + y*n and give y. 52 Express (-3*n**2 - 1 + 1)*(53*n**2 - 31*n**2 - 24*n**2) in the form h*n**2 + f*n**4 + k*n**3 + o + g*n and give f. 6 Express -7*p + 7*p + 12*p**2 - 38*p**2 in the form z*p + f + o*p**2 and give o. -26 Rearrange -13 - w**4 - 4*w + 10 + w**3 + 0 to the form f*w**4 + v*w**2 + k + o*w**3 + z*w and give k. -3 Rearrange -32 - 45 + 22 - j - 1 to the form i*j + o and give o. -56 Express -2*w**2 + 5*w**2 - 2*w**2 + 1 - 2*w**2 - 1 - 3*w**2 + 4*w**2 + 0*w**2 + (-w - w + 4*w)*(w +
{ "pile_set_name": "DM Mathematics" }
he first derivative of 2*u**6/27 + 32*u**5/45 - 83*u**4/9 + 152*u**3/27 + 632*u**2/9 - 1120*u/9 + 850. Find j, given that o(j) = 0. -14, -2, 1, 2, 5 Let j = -17748/5 + 53254/15. Let u(f) be the third derivative of 3/20*f**5 + 0*f + 0 + 15*f**2 - 11/24*f**4 + j*f**3 - 1/210*f**7 - 1/120*f**6. Factor u(s). -(s - 1)**3*(s + 4) Let u(r) = 13*r**2 + 2*r**3 + 3659 - 3672 + 25*r**2 - 27*r. Let k(f) = -2*f**3 - 19*f**2 + 14*f + 7. Let c(x) = 5*k(x) + 3*u(x). Factor c(o). -(o - 4)*(o - 1)*(4*o + 1) Factor 373*x - 65*x**3 - 330*x**2 + 6*x**4 + 200*x**2 - 11*x**4 + 187*x. -5*x*(x - 2)*(x + 7)*(x + 8) Let 1/6*g**2 + 3/2*g - 68/3 = 0. Calculate g. -17, 8 Let s(c) be the second derivative of -c**6/10 - 357*c**5/20 - 465*c**4/4 - 577*c**3/2 - 345*c**2 + 2080*c. Find v such that s(v) = 0. -115, -2, -1 Let -104/5 - 108/5*p**2 + 2/5*p**3 + 42*p = 0. Calculate p. 1, 52 Let l(v) be the third derivative of v**7/1155 + v**6/33 - 91*v**5/330 + 59*v**4/66 - 16*v**3/11 + 2*v**2 + 582*v. Suppose l(n) = 0. What is n? -24, 1, 2 Suppose 0 = 102*j + 107 - 311. Let v(g) be the second derivative of -8*g + 1/130*g**5 + 1/26*g**4 + 0 + 0*g**j + 2/39*g**3. Find c such that v(c) = 0. -2, -1, 0 Factor 2*y**3 + 1012523146 + 2117*y**2 + 3811254*y + 3641*y**2 - 976*y**2. 2*(y + 797)**3 Let k = -2022/445 + 440/89. Factor 0 + 0*g + k*g**3 + 1/5*g**4 - 3/5*g**2. g**2*(g - 1)*(g + 3)/5 Let z(a) be the second derivative of -1/42*a**7 + 5/6*a**3 - 1/5*a**5 - 2/15*a**6 + 1 - 15*a + 1/6*a**4 + a**2. Let z(c) = 0. Calculate c. -2, -1, 1 Let 2/7*b**3 + 190/7*b - 58/7*b**2 + 250/7 = 0. Calculate b. -1, 5, 25 Let v be (-120 + -5)*5/(-25). Factor 20*p - 1146*p**2 - 13*p - v + 1147*p**2 + 17*p. (p - 1)*(p + 25) Let p be -3 - (-3)/3*196. Suppose -5*h = -p + 183. Factor -8*z - 5*z**3 + 15*z**2 + 0*z - h*z. -5*z*(z - 2)*(z - 1) Let k be (-12)/(-8)*4/10. Let v be 27 - (28 + (-72)/40). Factor 0 + 1/5*z**4 + 0*z**2 + v*z - k*z**3. z*(z - 2)**2*(z + 1)/5 Let x(l) be the first derivative of 5*l**6/6 + 4*l**5 - 75*l**4/4 - 50*l**3/3 + 110*l**2 - 120*l + 2097. Solve x(b) = 0. -6, -2, 1, 2 Let j = 68 + -66. Suppose 3*h + 4*t + j = 0, 0 = 2*h + t + t - 2. Factor 5*c - 5*c**3 + 11*c - h*c + 5*c**2. -5*c*(c - 2)*(c + 1) Let z(h) be the second derivative of -h**6/210 + h**5/28 + h**4/12 - 29*h**3/42 - 15*h**2/7 - 1195*h - 2. Suppose z(w) = 0. Calculate w. -2, -1, 3, 5 Suppose 7*z - 10*z = 5*b - 1203, -5*z - b = -1983. Let q = z + -392. Determine p, given that -3/5*p**q - 72/5*p + 18/5*p**3 - 3/5*p**2 - 48/5 = 0. -1, 4 Let z = 226/2353 + 1015366/11765. Find d such that 21/5*d**2 - z - 1/5*d**3 - 72/5*d = 0. -3, 12 Suppose 0 = 9*q - 11 - 7. Factor 4*j - 2*j**2 - q*j**2 + j**4 - 151*j**3 + 150*j**3. j*(j - 2)*(j - 1)*(j + 2) Let w(q) be the second derivative of 127*q + 1/5*q**5 + 0*q**2 + 0 + 0*q**3 - 4*q**4. Find g such that w(g) = 0. 0, 12 Let o(d) be the first derivative of -d**4/12 + 10*d**3/9 - 16*d**2/3 + 32*d/3 + 690. Factor o(k). -(k - 4)**2*(k - 2)/3 Let k(l) be the third derivative of 13*l**2 + 135/8*l**4 + 1 + 0*l**3 - 3/2*l**5 + 0*l + 1/24*l**6. Factor k(t). 5*t*(t - 9)**2 Let g be 24/252 - ((824/(-84))/2 + -1). Suppose 4*u + 6*l = 3*l + 27, -15 = -3*l. Factor j - 3*j**u - j**4 + 12*j**3 - g*j**3 + 3*j**2 - 6*j**2. -j*(j - 1)**3 Let s(z) be the third derivative of z**7/1120 - 3*z**5/160 - z**4/16 + 34*z**3/3 - 23*z**2 - 5. Let w(g) be the first derivative of s(g). Factor w(t). 3*(t - 2)*(t + 1)**2/4 Let c(k) be the first derivative of -6*k**5/5 - 573*k**4/4 + 486*k**3 - 1173*k**2/2 + 294*k + 509. Suppose c(u) = 0. Calculate u. -98, 1/2, 1 Find z such that -34/7 - 69/7*z - 36/7*z**2 - 1/7*z**3 = 0. -34, -1 What is m in -8*m**2 - 2/3*m**3 + 0 - 40/3*m = 0? -10, -2, 0 Let q(z) be the third derivative of z**8/784 - 9*z**7/245 + 29*z**6/280 + 13*z**5/35 - 15*z**4/14 - 32*z**3/7 + 3711*z**2. Suppose q(w) = 0. What is w? -1, 2, 16 Let t(v) = 651*v - 20179. Let z be t(31). Factor 9/8*g**z + 0 - 1/4*g. g*(9*g - 2)/8 Let q = -83498/5 - -83499/5. Find v such that -4/5*v**4 - q*v**5 + 30 + 46/5*v**2 - 43*v + 24/5*v**3 = 0. -5, 1, 2, 3 Let j(i) = -22*i**3 - 16*i**2 + 26*i + 52. Let m(l) = 7*l**3 + 5*l**2 - 9*l - 17. Let v = 259 + -264. Let b(z) = v*j(z) - 16*m(z). Factor b(o). -2*(o - 3)*(o + 1)*(o + 2) Let k(s) be the second derivative of -3*s**6/55 + 223*s**5/110 + 59*s**4/66 - 223*s**3/33 - 50*s**2/11 + 24*s - 22. Let k(j) = 0. Calculate j. -1, -2/9, 1, 25 Suppose -180 = -g - 3*g - 168. Let c(h) be the first derivative of 35/2*h**2 + 30*h + 5/3*h**g - 13. Find r such that c(r) = 0. -6, -1 Let j(i) be the second derivative of 39/10*i**2 - 1/50*i**6 + 3/10*i**5 - i + 9/5*i**4 + 19/5*i**3 + 26. Suppose j(y) = 0. What is y? -1, 13 Suppose 80*o - 3816 = 74*o. Suppose -o*r = -632*r - 8. Factor -1/4*j**2 - r*j - 4. -(j + 4)**2/4 Let o(i) be the first derivative of -i**6/120 + i**5/4 - 25*i**4/8 + i**3/3 - 6*i**2 + 2. Let j(k) be the third derivative of o(k). Let j(r) = 0. Calculate r. 5 Suppose 0 + 106*d + 2/3*d**2 = 0. Calculate d. -159, 0 Suppose 42*r + 5*b + 445 = 47*r, 0 = -2*r - 2*b + 158. Factor 125*a - 370*a**3 + 221*a**2 - 5*a**2 + r*a**2 - 1002*a**4 + 605*a**5 + 342*a**4. 5*a*(a - 1)**2*(11*a + 5)**2 Let n be (574/(-6))/7*574/(-861). Find g, given that -n*g**2 + 0*g - 2/9*g**3 + 0 = 0. -41, 0 Suppose 1440*b - 54143 + 28920 = -1040*b + 123577. Find k such that 5/3*k**3 + 245/3*k + 70/3*k**2 + b = 0. -9, -4, -1 Determine p, given that 1/10*p**4 - 6/5 - 3/10*p**3 + 23/10*p - 9/10*p**2 = 0. -3, 1, 4 Let p be 20/6 + (-4)/2. Let v = -359525/9 - -39949. Solve -4/9*s**4 + 16/9 - p*s**2 + 16/9*s - v*s**3 = 0. -2, -1, 1 Let h = -535/9 + 39154/657. Let a = -85/1533 + h. Find y, given that 2/7*y**2 - a*y**3 - 8/21 + 0*y = 0. -1, 2 Let k(i) be the first derivative of -2/9*i**3 + 62 + 4/9*i - 1/9*i**2 + 1/18*i**4 + 2/45*i**5. Let k(z) = 0. What is z? -2, -1, 1 Let y(f) = -21*f**2 + 1451*f + 1444. Let m(z) = 78*z**2 - 5805*z - 5778. Let a(o) = 4*m(o) + 15*y(o). Suppose a(r) = 0. Calculate r. -484, -1 Factor -2/7*t**3 - 21142/7 - 558/7*t + 102/7*t**2. -2*(t - 31)**2*(t + 11)/7 Let r(s) = -s**3 - 9*s**2 - 5*s - 44. Let q be r(-9). Let g be 14/(-10) + q + (-50)/(-125). Let g + 9/10*o - 1/10*o**2 = 0. Calculate o. 0, 9 Let t(s) = -s**4 + 2*s**3 + s + 1. Let v(m) = -8*m**4 - 5*m**3 - 3*m**2 + 76*m + 55. Let f(i) = 36*t(i) - 4*v(i). Factor f(q). -4*(q - 23)*(q - 2)*(q + 1)**2 Let v(u) be the third derivative of u**8/10080 - u**6/90 - 77*u**5/60 + 41*u**2. Let h(o) be the third derivative of v(o). Find g, given that h(g) = 0. -2, 2 Let v(z) = 85*z**3 + 280*z**2 + 305*z + 110. Let u(o) = 43*o**3 + 139*o**2 + 152*o + 56. Let r = -632 + 629. Let a(d) = r*v(d) + 5*u(d). Factor a(t). -5*(t + 1)*(t + 2)*(8*t + 5) Let q(y) be the first derivative of -7*y**5 + 815*y**4/4 - 230*y**3/3 - 1960. Solve q(i) = 0 for i. 0, 2/7, 23 Let a(r) be the first derivative of -3/8*r**6 - 3/8*r**2 + 0*r - 21/40*r**5 + 3/8*r**3 + 9/8*r**4 - 38. Solve a(m) = 0 for m. -2, -1/2, 0, 1/3, 1 Let f(i) be the first derivative of -i**4 + 13*i**3/6 - i**2/2 - 3*i/2 - 413. Suppose f(y) = 0. Calculate y. -3/8, 1 Let y(s) be the third derivative of 2*s**7/105 - 5*s**6 + 1823*s**5/5 + 6004*s**4/3 - 11552*s**3 - 3447*s**2. Suppose y(a) = 0. Calculate a. -3, 1, 76 Let g(s) be the second derivative of s**7/6 + 5*s**6/24 - s**5/6 - 59*s**2/2 - 4*s + 3. Let w(p) be the first derivative of g(p). Find c, given that w(c) = 0. -1, 0, 2/7 Let o be ((-2)/2)/(-1) + (546/(-130))/(-7). Factor 0 + 0*u + o*u**2 - 4/5*u**3 - 4/5*u**4. -4*u**2*(u - 1)*(u + 2)/5 Let d(p) be the first derivative of -4/3*p**3 + 32*p**2 + 103 + 68*p. Factor d(o). -4*(o - 17)*(o + 1) Suppose 2*f - 44 = -c, c + 3*f = -2*c + 123. Factor 74 + 0*v**2 + c*v - 74 - 2*v**2. -2*v*(v - 19) Let c = -1705 - -1795. Suppose -5*x + c - 73 = 2*h, -4*h = x - 7. Factor -3/5*b**x - 21/5*b**2 - 18/5*b + 0. -3*b*(b + 1)*(b + 6)/5 Let k(w) = -16*w**2 - 20*w - 4. Suppose 12*p + 13 = -95. Let s(j) = -j**3 + 32*j**2 + 40*j + 7. Let o(n) = p*k(n) - 4*s(n). Find x such that o(x) = 0. -2, -1 Find v such that -34/5*v**4 - 72/5 + 16*v - 36/5*v**3 + 4/5*v**5 + 154/5*v**2 = 0. -2, -1, 1/2, 2, 9 Let g(s) be the first derivative of -s**4/8 + 35*s**3/3 + 47*s**2/4 - 276*s - 122. Let m(x) be the first derivative of g(x). Factor m(z). -(z -
{ "pile_set_name": "DM Mathematics" }
the q'th term of 27, 66, 117, 186, 279? q**3 + 32*q - 6 What is the t'th term of -13, -19, -25, -31, -37, -43? -6*t - 7 What is the l'th term of 61, 241, 535, 937, 1441, 2041, 2731? -l**3 + 63*l**2 - 2*l + 1 What is the u'th term of -1224, -2445, -3666, -4887, -6108? -1221*u - 3 What is the k'th term of -14, -58, -102? -44*k + 30 What is the w'th term of -97, -104, -121, -154, -209, -292, -409, -566? -w**3 + w**2 - 3*w - 94 What is the x'th term of 821, 800, 777, 752, 725? -x**2 - 18*x + 840 What is the g'th term of -66, -110, -154, -198, -242? -44*g - 22 What is the o'th term of -459, -437, -411, -381, -347, -309? 2*o**2 + 16*o - 477 What is the z'th term of 949, 949, 951, 955? z**2 - 3*z + 951 What is the n'th term of 32, -81, -270, -535, -876, -1293, -1786? -38*n**2 + n + 69 What is the o'th term of 14, 15, 22, 35, 54, 79? 3*o**2 - 8*o + 19 What is the p'th term of -31, -14, 21, 80, 169, 294? p**3 + 3*p**2 + p - 36 What is the o'th term of -205, -412, -619? -207*o + 2 What is the z'th term of -52, -210, -472, -838, -1308, -1882, -2560? -52*z**2 - 2*z + 2 What is the j'th term of -578, -1156, -1734, -2312, -2890, -3468? -578*j What is the h'th term of 167, 161, 151, 137, 119? -2*h**2 + 169 What is the d'th term of 34, 88, 138, 184, 226, 264, 298? -2*d**2 + 60*d - 24 What is the s'th term of 47, 47, 49, 53, 59, 67, 77? s**2 - 3*s + 49 What is the b'th term of -10, -53, -128, -241, -398, -605, -868? -b**3 - 10*b**2 - 6*b + 7 What is the v'th term of -49, -48, -43, -34, -21, -4, 17? 2*v**2 - 5*v - 46 What is the p'th term of -69, -67, -65? 2*p - 71 What is the u'th term of -6092, -24368, -54820, -97442, -152228, -219172, -298268? u**3 - 6094*u**2 - u + 2 What is the t'th term of -92, -81, -62, -35? 4*t**2 - t - 95 What is the s'th term of -1684, -6733, -15148, -26929, -42076? -1683*s**2 - 1 What is the r'th term of 75, 88, 113, 156, 223, 320? r**3 + 6*r + 68 What is the m'th term of 354, 703, 1050, 1395, 1738? -m**2 + 352*m + 3 What is the f'th term of 51, 98, 163, 252, 371, 526, 723, 968? f**3 + 3*f**2 + 31*f + 16 What is the t'th term of 11136, 11137, 11138, 11139, 11140, 11141? t + 11135 What is the x'th term of -26, -10, 30, 106, 230, 414? 2*x**3 + 2*x - 30 What is the v'th term of -597, -600, -603, -606? -3*v - 594 What is the n'th term of -137, -571, -1281, -2255, -3481, -4947? 2*n**3 - 150*n**2 + 2*n + 9 What is the j'th term of -53, -157, -261, -365, -469, -573? -104*j + 51 What is the u'th term of -251, -163, -77, 7, 89, 169, 247? -u**2 + 91*u - 341 What is the n'th term of 2, -11, -26, -43? -n**2 - 10*n + 13 What is the g'th term of 48, 35, 22, 9? -13*g + 61 What is the q'th term of -281, -278, -275, -272, -269, -266? 3*q - 284 What is the m'th term of -141, -353, -565, -777, -989, -1201? -212*m + 71 What is the t'th term of -12, -71, -170, -309, -488, -707, -966? -20*t**2 + t + 7 What is the l'th term of -61, -58, -53, -46, -37, -26, -13? l**2 - 62 What is the m'th term of 575, 1138, 1691, 2234, 2767, 3290, 3803? -5*m**2 + 578*m + 2 What is the a'th term of -180, -330, -482, -636, -792, -950, -1110? -a**2 - 147*a - 32 What is the z'th term of 65, 54, 23, -40, -147? -2*z**3 + 2*z**2 - 3*z + 68 What is the b'th term of 29, 56, 81, 104? -b**2 + 30*b What is the n'th term of 12, 39, 94, 189, 336, 547? 2*n**3 + 2*n**2 + 7*n + 1 What is the b'th term of 57, 69, 81? 12*b + 45 What is the q'th term of -2, 12, 28, 46, 66? q**2 + 11*q - 14 What is the d'th term of -135, -150, -191, -270, -399, -590? -2*d**3 - d**2 + 2*d - 134 What is the y'th term of -109, -234, -359? -125*y + 16 What is the m'th term of 8, 22, 52, 104, 184, 298, 452? m**3 + 2*m**2 + m + 4 What is the a'th term of -1286, -1281, -1276? 5*a - 1291 What is the t'th term of -202, -768, -1704, -3004, -4662, -6672, -9028, -11724? t**3 - 191*t**2 - 12 What is the j'th term of -1350, -1365, -1390, -1431, -1494, -1585? -j**3 + j**2 - 11*j - 1339 What is the h'th term of 1241, 1243, 1247, 1253, 1261, 1271? h**2 - h + 1241 What is the n'th term of 2930, 5858, 8786? 2928*n + 2 What is the k'th term of 61, 149, 237, 325, 413? 88*k - 27 What is the f'th term of -160, -159, -158, -157? f - 161 What is the x'th term of -33, -59, -73, -69, -41, 17? x**3 - 33*x - 1 What is the q'th term of 24, 55, 86? 31*q - 7 What is the p'th term of -190, -180, -168, -154? p**2 + 7*p - 198 What is the l'th term of -86, -102, -118? -16*l - 70 What is the f'th term of 14, 27, 72, 167, 330, 579, 932? 3*f**3 - 2*f**2 - 2*f + 15 What is the a'th term of 6, -3, -12? -9*a + 15 What is the k'th term of 61, 212, 465, 820? 51*k**2 - 2*k + 12 What is the t'th term of 141, -21, -461, -1317, -2727, -4829? -23*t**3 - t**2 + 2*t + 163 What is the x'th term of 53, 119, 211, 341, 521, 763? 2*x**3 + x**2 + 49*x + 1 What is the k'th term of -28, -175, -422, -769, -1216, -1763? -50*k**2 + 3*k + 19 What is the v'th term of -326, -324, -320, -314, -306, -296, -284? v**2 - v - 326 What is the v'th term of 8, -9, -44, -103, -192, -317, -484, -699? -v**3 - 3*v**2 - v + 13 What is the x'th term of 76, 321, 732, 1309, 2052, 2961, 4036? 83*x**2 - 4*x - 3 What is the h'th term of 1425, 2847, 4271, 5697, 7125, 8555, 9987? h**2 + 1419*h + 5 What is the s'th term of 3, 1, -7, -21, -41? -3*s**2 + 7*s - 1 What is the u'th term of 4437, 4438, 4439, 4440, 4441, 4442? u + 4436 What is the a'th term of 380, 369, 346, 305, 240? -a**3 - 4*a + 385 What is the h'th term of 17, 13, 7, -1, -11? -h**2 - h + 19 What is the y'th term of 22, 47, 72, 97? 25*y - 3 What is the o'th term of -23, -112, -261, -470? -30*o**2 + o + 6 What is the x'th term of 56, 99, 144, 191, 240? x**2 + 40*x + 15 What is the s'th term of -1660, -1661, -1662, -1663? -s - 1659 What is the n'th term of 58, 26, -34, -128, -262, -442? -n**3 - 8*n**2 - n + 68 What is the i'th term of 10, 14, 20, 28, 38, 50, 64? i**2 + i + 8 What is the y'th term of -4193, -4195, -4205, -4229, -4273, -4343? -y**3 + 2*y**2 - y - 4193 What is the q'th term of 10, 13, 6, -17, -62, -135, -242, -389? -q**3 + q**2 + 7*q + 3 What is the o'th term of 144, 435, 912, 1569, 2400, 3399, 4560, 5877? -o**3 + 99*o**2 + o + 45 What is the z'th term of 58, 83, 106, 127, 146, 163, 178? -z**2 + 28*z + 31 What is the b'th term of -274, -248, -198, -118, -2, 156, 362? b**3 + 6*b**2 + b - 282 What is the w'th term of 515, 1026, 1537, 2048? 511*w + 4 What is the l'th term of -14, -5, 2, 1, -14, -49, -110, -203? -l**3 + 5*l**2 + l - 19 What is the w'th term of -223, -246, -291, -364, -471, -618, -811, -1056? -w**3 - 5*w**2 - w - 216 What is the d'th term of -805, -812, -819, -826? -7*d - 798 What is the g'th term of -46, -72, -98, -124, -150? -26*g - 20 What is the l'th term of -69, -313, -727, -1317, -2089? -l**3 - 79*l**2 + 11 What is the u'th term of -564, -562, -560, -558, -556, -554? 2*u - 566 What is the r'th term of -9, -29, -61, -111, -185, -289? -r**3 - 13*r + 5 What is the c'th term of -71, -605, -2061, -4901, -9587, -16581? -77*c**3 + c**2 + 2*c + 3 What is the w'th term of -15, -22, -33, -48, -67? -2*w**2 - w - 12 What is the y'th term of 3, -29, -61, -93, -125? -32*y + 35 What is the k'th term of -117, -477, -1079, -1923? -121*k**2 + 3*k + 1 What is the o'th term of 36, 70, 102, 132, 160? -o**2 + 37*o What is the a'th term of 15, 20, 27, 36, 47, 60? a**2 + 2*a + 12 What is the b'th term of -49, -49, -61, -91, -145, -229? -b**3 + 7*b - 55 What is the n'th term of -47, -19, 19, 73, 149, 253, 391, 569? n**3 - n**2 + 24*n - 71 What is the r'th term of -397, -795, -1193, -1591, -1989, -2387? -398*r + 1 What is the v'th term of -1439, -1441, -1453, -1481, -1531, -1609, -1721, -1873? -v**3 + v**2 + 2*v - 1441 What is the j'th term of -26171, -26170, -26169, -26168, -26167, -26166? j - 26172 What is the o'th term of 15, 18, 21? 3*o + 12 What is the a'th term of 2629, 5213, 7783, 10333, 12857, 15349, 17803, 20213? -a**3 - a**2 + 2594*a + 37 What is the r'th term of 6, 0, -8, -18? -r**2 - 3*r + 10 What is the c'th term of -21, -57, -115, -189, -273, -361, -447, -525? c**3 - 17*c**2 + 8*c - 13 What is the k'th term of -17, 35, 121, 241, 395, 583, 805? 17*k**2 + k - 35 What is the k'th term of 35, 64, 93? 29*k + 6 What is the n'th term of 1561, 1562, 1563, 1564, 1565? n + 1560 What is the g'th term of 25, -72, -337, -854
{ "pile_set_name": "DM Mathematics" }
increasing order. j, 1, 5 Suppose 2*a = 6*a + 36. Let f be 8/3*a/(-3). Suppose -i - i = -f. Sort 1, i, -2. -2, 1, i Let p be 4/(-14) - 90/(-21). Suppose -p*f + 2*f + 12 = 0. Suppose g + f = -g. Sort -5, g, 3 in ascending order. -5, g, 3 Let m = 4 - 4. Suppose -2*o + 0*o - 5*p = 15, m = 5*o - p - 30. Sort 1, o, 3. 1, 3, o Let b = -4.5 - -5. Let t be ((-30)/8)/5*4. Let p be (t/(-8))/((-12)/(-8)). Put p, -5, b in decreasing order. b, p, -5 Suppose -k + 21 = 4*s, -5 = -2*s - 3*s + 3*k. Sort 5, s, 1. 1, s, 5 Let x = 5 - 0. Suppose -12 = 3*q, 3*i + 4 = 3*q + 13. Let u be i - 1 - (-4 - -2). Put x, u, 2 in increasing order. u, 2, x Let q = 5 + -9. Let w = q - 0. Let f = 5 + w. Put f, 0.1, -0.4 in descending order. f, 0.1, -0.4 Suppose 2*y - 3 = -y. Let h(p) = 2*p - 8. Let s be h(2). Put -1, y, s in descending order. y, -1, s Let h = -2 + 5. Let q = h + -4. Sort q, -3, -5 in ascending order. -5, -3, q Let b be (2 - 20/12)*4. Sort b, -9, -0.2. -9, -0.2, b Let s(p) = -5*p - p - 1 + 5*p. Let w be s(4). Put 1, 5, w in decreasing order. 5, 1, w Suppose 0 = 3*o + m + 3, 4*o - 5*m - 10 - 5 = 0. Put 4, 2, o in decreasing order. 4, 2, o Let q be -1 - (-2 + (-4)/(-2)). Let s be 9/(-2 + 5) + -7. Put 4, s, q in descending order. 4, q, s Let y = -6.04 + 6. Let a = y - -0.14. Sort 1, a, 0.5 in decreasing order. 1, 0.5, a Let a = 18 + -17.5. Let y = a + -0.8. Put -6/5, y, -5 in descending order. y, -6/5, -5 Suppose 2*z - 20 = -t - t, -t - 14 = -5*z. Suppose 5*s = -1 + t. Put 0.4, s, 5 in increasing order. 0.4, s, 5 Let y = 11 - 2. Suppose -5*x = y + 6. Sort 4, 2, x in ascending order. x, 2, 4 Let g = -1 + 2. Suppose 3*k = -k + 8. Suppose -5*d - k = -12. Put 5, g, d in ascending order. g, d, 5 Let k be 4/(-14) + 52/(-14). Let u be k/3 - (-4)/(-6). Put -3, -1, u in decreasing order. -1, u, -3 Let i = -1 + -1. Suppose g - 2*m - 4 = 0, -m - 2 = 5*g - 2*g. Suppose 2*j + 5 - 3 = g. Sort j, i, 3. i, j, 3 Suppose 0 = -0*u - 3*u - 3. Let w be -2 + (3 - (3 - 3)). Sort u, w, 4 in descending order. 4, w, u Let r = 16.23 + -16. Let z = 0.03 - r. Sort -3/2, -3, z. -3, -3/2, z Let f(a) = a**2 + a - 1. Let j be f(-3). Put j, 1, 4 in ascending order. 1, 4, j Suppose 5*w - 15 = 2*w, 5*n - 2*w = 95. Let l = n - 148/7. Let x be 18/15 + -3 - -1. Sort l, x, 3. x, l, 3 Let y = 30 - 25. Sort 4, -6, y. -6, 4, y Suppose -11 = 2*t + f - 2, -3*t - 2*f - 13 = 0. Put 1, t, -18 in descending order. 1, t, -18 Let k = 24 + -22. Suppose -6*f = -3*f - 6. Suppose 0 = s, f*s - 4 = -4*r + 8*r. Sort r, k, 5. r, k, 5 Let z = -24 + 26. Let l = 5 + -4.6. Put z, l, -1 in ascending order. -1, l, z Suppose 2*q - 4 = 5*l - 25, -3*l = 3*q. Let p(g) = -5*g**3 - 2*g**2 - 2*g - 1. Let j be p(-1). Sort j, l, -1 in ascending order. -1, l, j Let j = -175.7 + 168. Let d = j - -8. Put -0.5, d, 3/4 in decreasing order. 3/4, d, -0.5 Let k = -1.911 - 0.089. Let f = 3 + -4. Put 0.5, k, f in increasing order. k, f, 0.5 Let h = -19 + 22. Put -4, h, -3, -5 in ascending order. -5, -4, -3, h Let x = -29 - -1. Let o be (x/(-70))/(26/(-10)). Let g be (0 - (-1 + 0))*-5. Sort -1/6, g, o. g, -1/6, o Let t = -0.02 - -0.22. Let l = -4 + 3. Let q = l + 6. Sort 0.3, q, t. t, 0.3, q Let c = -59 + 55. Put -11, -5, c in descending order. c, -5, -11 Let b = 9.1 + -9.6. Put 0, -0.7, b in decreasing order. 0, b, -0.7 Let k = -8 + 16. Suppose -25 = -k*u + 3*u. Sort u, 1, 3 in descending order. u, 3, 1 Let u(w) = -w - 5. Let s be u(0). Suppose 3*n - 4 = n. Let p be (6/(-4))/(2/4). Sort p, s, n in descending order. n, p, s Let n(b) = -5*b**2 + 9*b + 0 + 6*b**2 - 5. Let q be n(-9). Sort 0, 1, q in increasing order. q, 0, 1 Suppose -2*t - 5*a + 2 = 0, 0 = -2*t + 5*a - 0 - 18. Suppose -4*x - 4 = -0, -4*p - 5*x + 3 = 0. Sort t, -1, p in descending order. p, -1, t Let p(m) = m**2 + 9*m + 9. Let d be p(-7). Let c = 40 - 34. Put 4, d, c in increasing order. d, 4, c Let k = 7/60 + 2/15. Let y = -2.7 - 0.7. Let x = y - -3. Sort 0.3, x, k in increasing order. x, k, 0.3 Let o = 2 + 5. Let g = 2 - 6. Let l = g + o. Put 1/5, l, 5 in increasing order. 1/5, l, 5 Let j(c) = c + 4. Let k be j(-2). Suppose k = -q + 1. Let y = -8 + 4. Sort 2, q, y in increasing order. y, q, 2 Let v = -84 + 250/3. Sort -6, 15, v in increasing order. -6, v, 15 Let w(k) = -k**2 + 3. Let f be w(0). Let p be 4/(-3)*f/(-1). Let v be ((-2)/4)/(2/8). Sort p, -4, v in increasing order. -4, v, p Let j be (-1)/(8 - (3 + -5)). Sort -6/11, j, 3/2 in ascending order. -6/11, j, 3/2 Let m = -0.3 - -0.4. Suppose 2*n = -0*n - 2*k - 2, 3*n = -k + 1. Let c = -3 + n. Put c, 4, m in decreasing order. 4, m, c Let v be ((-1)/23)/(1/(-2)). Let y = -6 - -16. Let c be (3 - 32/y)*3. Sort c, -3, v in ascending order. -3, c, v Let r = -2.93 + 3. Let b = 0.03 + r. Put b, -2/7, -4 in increasing order. -4, -2/7, b Let m = 89/56 + -12/7. Sort 0, m, -7 in decreasing order. 0, m, -7 Suppose -o - 3*o - 8 = 0. Let p be 1 + -3 + (1 - o). Sort -4, p, -0.05 in ascending order. -4, -0.05, p Suppose 2*g + 0*g + 24 = 0. Sort g, -5, 5 in descending order. 5, -5, g Let j = -0.8 + 0.6. Sort 0, -0.26, j, 4 in descending order. 4, 0, j, -0.26 Let u = 363/7 + -52. Let a be 4/14 - (-906)/63. Let l = 14 - a. Put l, 4, u in decreasing order. 4, u, l Suppose x + 4*x - 3*z = 9, -5*z = 5*x - 25. Let t be 1/(x/(-9)) - -2. Sort 1, t, -2 in increasing order. -2, t, 1 Let s(h) = 3*h**2. Let n = -9 - -8. Let k be s(n). Let w(v) = 2*v + 4. Let i be w(-3). Put i, -1, k in decreasing order. k, -1, i Let o be (6/2)/((-63)/84). Let l(y) = y**3 - 5*y**2 - 5. Let u be l(5). Put u, 2/9, o in increasing order. u, o, 2/9 Suppose 5*p + 12 = -p. Put -4, p, -10 in increasing order. -10, -4, p Let l = -7.4 + 8. Let x = -0.3 + l. Put x, 1/5, -0.2 in descending order. x, 1/5, -0.2 Suppose j + 5*z - 15 = 0, -3*j + z + 13 = -0*z. Sort 3, 36, 0, j in descending order. 36, j, 3, 0 Let c be ((-1)/2)/(2/4). Let l = 37 - 17. Let i be (-23)/l + 10/25. Put i, c, 1 in ascending order. c, i, 1 Let q = 28 + -27. Suppose 5*c + 6 = q. Let o(a) = -4*a. Let v be o(1). Sort 5, v, c in decreasing order. 5, c, v Let p(q) = -q**3 + 6*q**2 - q + 8. Let a be p(6). Suppose 12 = -0*u + 2*u - 4*b, 0 = 5*u - 2*b - 22. Suppose -2 = u*l + a. Put 1, 4, l in descending order. 4, 1, l Let r be ((-10)/(-8))/((-6)/(-24)). Put -6, -3, r, 0.1 in descending order. r, 0.1, -3, -6 Let t(r) = r**3 + 6*r**2 + r + 8. Let w be t(-6). Let b be 1 + (13 - 5)/2. Put -2, w, b in decreasing order. b, w, -2 Let i be -1 + 27/(-21)*-1. Let s be (-12)/(-10)*-10*(-1)/(-9). Sort 1/12, i, s in ascending order. s, 1/12, i Let g(l) = 4*l + 29. Let a be g(-8). Sort a, 4, 3, -4 in decreasing order. 4, 3, a, -4 Let t(y) = 2*y + 4. Suppose -4*a = 3*b + 4 + 9, 10 = -3*a - 2*b. Let o be t(a). Sort 3, o, -1 in descending order. 3, -1, o Let u = -16.4 + 16. Sort u, 0.1, -3. -3, u, 0.1 Suppose -154 = -5*m + 57401. Let o be 2/12*m/(-15). Let b = 128 + o. Put -3, b, 1 in descending order. 1, b, -3 Let u be (-6)/(-33) - 4/(-99). Put 2, u, 0.3 in descending order. 2, 0.3, u Let b be (-1)/(-1)*-3 - 0. Let o = 12 - 11. Sort -2, o, b. b, -2, o Suppose 4*l - 3*w + 0 - 23 = 0, -4*l + 22 = -2*w. Sort -3, 4, l in ascending order. -3, 4, l Let b = 164 - 653/4. Sort 0.1, 1/4, b, -9 in increasing order. -9, 0.1, 1/4, b Let h = 1 - 5. Put -5, h, 0 in increasing order. -5, h, 0 Let r = -66 + 65.6. Sort 0.4, -3/4, r, 1 in decreasing order. 1, 0.4, r, -3/4 Suppose 10 = -t + 19. Sort t, -1, 3. -1, 3, t Let h be 4/(-16) + 9/4. Let k be (-1)/(-1 + h)*1. Sort 0, k, 4 in decreasing order. 4, 0, k Suppose -4*q = 9 + 11. Let l be (-1 - q)*(-1 + 0). Let c be 21/(-4) + (-1)/l. Put c, -2, -1 in descending order. -1, -2, c Let s = 1106/5 - 222. Put -2, s, 1, -0.2 in ascending order. -2, s, -0.2, 1 Let o = 45 + -136/3. Let i = 1/5 + o. Let c = 0.1 - 2.1. Put i, c, -1/3 in increasing order. c, -1/3, i Let x = -9 + 14. Let t(m) = -m**3 + 5*m**2 + m + 2. Let r be t(5). Let o be 25/(-35) + (-2)/r. Put o, 0, x in ascending order. o, 0, x Suppose -7*s - 9 = 5. Sort 3, -5, s in descending order. 3, s, -5 Let x(i) = -i**3 + 5*i**2 - 5*i + 6. Let o be x(4). Sort 5, 1, o, 4. 1, o, 4, 5 Suppose -5*f = -2*l - 4, -7*f = -4*f - 5*l + 9. Sort 5, f, 3, -3 in descending order. 5, 3, f, -3 Let b = -7.4 - -6.4. Suppose -k + 3*k = -10. Put k, b, 1/3 in decreasing or
{ "pile_set_name": "DM Mathematics" }
est one hundred. -1100 Let o = 3781.1399972 + -3781. Let y = o - 0.14. What is y rounded to 6 decimal places? -0.000003 Let c = -6 + 11. Suppose -4*o + c*y = 6*y - 2843, y = -5*o + 3553. Round o to the nearest one hundred. 700 Let j = 1035111599.99999979 + -1035111631. Let c = j - -31. What is c rounded to 7 decimal places? -0.0000002 Let v = 6415 + -6378.902. Let j = -36 + v. Round j to 2 decimal places. 0.1 Let y = -157.999718 - -158. Round y to 4 decimal places. 0.0003 Let j(l) = -22*l**3 - 14*l**2 - 12*l - 12. Let y be j(-9). Round y to the nearest ten thousand. 20000 Let t = -1696118 - -3157840. Suppose q - 591722 + t = 0. What is q rounded to the nearest one hundred thousand? -900000 Let w = 9.99999995 + -10. What is w rounded to 7 decimal places? -0.0000001 Let j = -28.3 + 27. Let q = 0.4 + j. What is q rounded to one decimal place? -0.9 Let w = -37.91 + 8.39. Let h = w + 28. What is h rounded to one decimal place? -1.5 Let y = -0.8 - -0.783. Let b = y - -0.0315. What is b rounded to 3 decimal places? 0.015 Let w = 145 - 145.71. Let d = 83.71 + w. Let r = 83.000066 - d. What is r rounded to 5 dps? 0.00007 Let u be 12/(-2)*-12666 - (-9 + 5). What is u rounded to the nearest ten thousand? 80000 Let b be (6 - 10) + (-34604)/(-1). Round b to the nearest 1000. 35000 Let u = -8.9 - -9. Let q = -32582.9 + 32582.8000006. Let i = u + q. Round i to 7 decimal places. 0.0000006 Let l be (0 + -1125)*(-320)/(-3). Round l to the nearest 100000. -100000 Let s(r) = 2500*r**2 - r - 1. Let b be s(-1). Round b to the nearest 100. 2500 Let x = 20 + -5. Let b = 61.9 - 76. Let w = b + x. Round w to one dp. 0.9 Let t be (1 - -4) + (-3 - -1). Suppose 0 = t*z - 3*r - 2979, -z - 2*z - 5*r + 2955 = 0. Round z to the nearest 100. 1000 Let u = 556.683 + -557. What is u rounded to one decimal place? -0.3 Let z(j) = -j**2 - 5*j + 14. Suppose 2*x - x + m + 12 = 0, 3*x = -2*m - 36. Let k be z(x). Round k to the nearest 100. -100 Suppose -303 + 4301 = 2*y. Suppose 5*i + 1995 = b, -b = -2*b + i + y. What is b rounded to the nearest 1000? 2000 Let y = -10448482 - -10448525.99981. Let g = y - 44. Round g to 4 decimal places. -0.0002 Let s = 1.911 - 1.9. Round s to 3 decimal places. 0.011 Let v be 2/8 + 7618372/(-16). Let r = v + 806316. Suppose -78168 = 4*y - r. What is y rounded to the nearest 10000? 60000 Let f be (-40000)/((-8)/(-42540)*3). What is f rounded to the nearest one million? -71000000 Let y = -43 - -41.3. Let h = y - -1.6999974. What is h rounded to six dps? -0.000003 Let c be (-200)/((12/4)/6900). Round c to the nearest one hundred thousand. -500000 Let r = -4 + 4. Suppose -3*l = 0, -5*x - 4*l + r*l = 425. What is x rounded to the nearest ten? -90 Let t = 1.9 - 2. Let z = 0.1 - t. Let j = 0.192 - z. Round j to 2 decimal places. -0.01 Let z(k) = -600*k. Let p(l) = -2*l - 4. Let f be p(-6). Let y be z(f). What is y rounded to the nearest 1000? -5000 Suppose -5*y + 2*y = 4869. Let x be 160/(y/1625 - -1). What is x rounded to the nearest one hundred thousand? 100000 Let o = 24.0000038 - 24. What is o rounded to 6 dps? 0.000004 Let x = -628 - -628.000329. What is x rounded to 5 dps? 0.00033 Let x = 1.2 - 1.18. What is x rounded to two decimal places? 0.02 Let y = -0.066 + 0.0659892. Round y to six decimal places. -0.000011 Let t = 1.1175751 - 1.07357. Let w = 0.044 - t. Round w to 6 decimal places. -0.000005 Let o = -1702 - -2542. What is o rounded to the nearest 100? 800 Let d = 90775.86 - 91656.7661. Let u = d + 879.4. Let g = u + 1.5. Round g to 3 decimal places. -0.006 Let i = -6.1 + 0.4. Let v = -6.94 - i. Round v to one decimal place. -1.2 Let c = 0 + 6. Let f be (c - 0)/((-4)/(-64730)). Suppose -30095 = b - f. What is b rounded to the nearest ten thousand? 70000 Suppose -4*t - 720000 = 2*y, 5*t - 172699 = -5*y - 1072699. What is t rounded to the nearest one hundred thousand? -200000 Let w = -11 + 4. Let c = w - -7.008. What is c rounded to three dps? 0.008 Let s be (-4)/3*1*-3. Let k be (4/5)/(s/190). Round k to the nearest 10. 40 Let m = -105052 + -794948. Round m to the nearest one hundred thousand. -900000 Let v = 196.3 - 198.298. Let y = -2 - v. Round y to three dps. -0.002 Let m(y) = -23*y**2 + 4*y - 6. Let i be m(7). Let b = 1595 + i. Round b to the nearest 100. 500 Let g = 2.7 - -0.08. What is g rounded to the nearest integer? 3 Let l = 877.37399973 - 876.824. Let j = l - 0.55. Round j to seven dps. -0.0000003 Suppose -n + 12039696 + 22160304 = 0. What is n rounded to the nearest 1000000? 34000000 Let p(w) = w**3 + 3*w**2 - w. Let m be p(-3). Suppose -m*y + 2*x = 5*x - 15, 3*x - 19 = -4*y. Let h be (-1)/2 + 268002/y. Round h to the nearest ten thousand. 70000 Let u = -0.8 + 0.4. Let z = -7.3 - u. What is z rounded to the nearest integer? -7 Let i = 4 - 96. What is i rounded to the nearest one hundred? -100 Let k = -22.90468 + -0.09499. Let l = k - -23. Round l to 4 dps. 0.0003 Let g = -47 - -46.47. What is g rounded to one decimal place? -0.5 Let b = -24 + 93. Suppose -m = -b - 221. Round m to the nearest one hundred. 300 Let n = -13 + 24. Let z = n - 6. Suppose z*o - 20800000 = 3*o. Round o to the nearest one million. 10000000 Let p(o) = -534*o**3 - 4*o**2 + 2*o + 2. Let s be p(-3). Let f be 63022/(-8) + 3/(-12). Let n = s + f. What is n rounded to the nearest one thousand? 7000 Let n = 21 + -11. Let p = n + -10.000014. What is p rounded to 5 decimal places? -0.00001 Let w be 20 - (0 + 1 - -1). Let d be (-2)/8 - w/(-8). Suppose 0*x = d*x + 1120. Round x to the nearest 100. -600 Let m = 2.041 - 0.121. Let j = 20.18 + -20. Let h = m + j. Round h to 0 decimal places. 2 Suppose -2*x + 20 = -4*j, 3*x - 32 + 5 = 5*j. Suppose 3*o = 7*o - v - 192005, x*o = 3*v + 192015. Round o to the nearest ten thousand. 50000 Let x = 78 - 77.9999934. Round x to 6 dps. 0.000007 Let x = -8.3 + 8.3002. What is x rounded to three decimal places? 0 Let p = 127.8 + -114. Let r = 6 - p. Round r to the nearest integer. -8 Let x = 44139160519471324 - 44139156889975358.0000117. Let b = x - 3629496161. Let g = b - -195. Round g to 6 dps. -0.000012 Let b(s) = 324*s + 2. Let q be b(2). Round q to the nearest one hundred. 700 Let x = 9.7 + -9.783. Let q = 10067 + -10066.91574. Let j = q + x. Round j to 4 dps. 0.0013 Let s = 261.4 - 234. Let c = s + -20. Round c to the nearest integer. 7 Let i = 1 - -0.5. Let x = 1.49999974 - i. What is x rounded to seven dps? -0.0000003 Let h = 119.9 + -114. Let b = -79.9 + h. Let n = b - -74.0081. What is n rounded to three dps? 0.008 Let k = 10130293 + -3980293. Round k to the nearest one million. 6000000 Let h = 5.46 - 5.460000578. Round h to 7 dps. -0.0000006 Let u(b) = 411*b**2 + 8*b + 17. Let m be u(-7). What is m rounded to the nearest one thousand? 20000 Let r = 151.594 - 45.35. Let d = -0.244 + r. Let m = -98.9 + d. Round m to zero dps. 7 Suppose -173126525 = -5*b + 2*x, 3*b - 2*x - 103875915 = -3*x. Suppose -3*c = -10925305 + b. Round c to the nearest one million. -8000000 Let w = -0.19 + 1.61. Round w to the nearest integer. 1 Let x = -68.1 + -0.9. Let b = x - -169. Let i = 100.00000113 - b. What is i rounded to 7 decimal places? 0.0000011 Let p(r) = r + 199996. Suppose -3*m = 2*m. Let c be p(m). Suppose 3*x - 4*z + 150008 = 0, -2*x - 2*z = 2*x + c. Round x to the nearest ten thousand. -50000 Suppose 0*x + 3*x - 47829258 = 0. Let o = 8943086 - x. Let p be (-9)/(-3) - (3 - o). What is p rounded to the nearest one million? -7000000 Let f = 27.4 - 24. Let w = -3 + f. Round w to zero decimal places. 0 Let f = -14074 - -14072.590272. Let l = -2.70978 - f. Let h = l - -1.3. Round h to five dps. -0.00005 Let m = 11.9 - 12. Let p = -0.26 + m. What is p rounded to 1 decimal place? -0.4 Let v = -15 - -9. Let f = -894 + 887.992. Let p = f - v. Round p to 3 decimal places. -0.008 Let x = -33 + 36. Let q = 27420.14 - 27417.139978. Let b = x - q. What is b rounded to 5 dps? -0.00002 Let b = -4 - -9. Suppose -4*j - 4*m + 319988 = 0, -j + 3*m - b*m = -79994. What is j rounded to the nearest 10000? 80000 Let o = -0.101 - -0.034. Let b = o + -1.775. Let r = -1.8 - b. Round r to 2 dps. 0.04 Let b(p) = -p - 5. Let r be b(-8). Suppose r*x + 13800 = -0*x. What is x rounded to the nearest 1000? -5000 Let d = 0.58 + 135.42. Let x = d + -136.0000093. Round x t
{ "pile_set_name": "DM Mathematics" }
m: 3, c: 1, x: 4}? 1/340 Three letters picked without replacement from {r: 1, j: 1, z: 2, t: 1, s: 1, e: 1}. What is prob of sequence zzr? 1/105 Four letters picked without replacement from fleedwwwwddflwdww. What is prob of sequence ffel? 1/7140 Two letters picked without replacement from eeeuareeueueeure. Give prob of sequence ar. 1/120 What is prob of sequence xx when two letters picked without replacement from {x: 10, o: 4}? 45/91 Three letters picked without replacement from ssssssssszssz. What is prob of sequence zsz? 1/78 Four letters picked without replacement from {q: 4, e: 6, g: 1, u: 3}. What is prob of sequence qgee? 5/1001 Calculate prob of sequence sn when two letters picked without replacement from {s: 2, n: 2}. 1/3 Calculate prob of sequence wbkb when four letters picked without replacement from {w: 5, k: 2, b: 5}. 5/297 Two letters picked without replacement from {g: 2, r: 1, l: 1, s: 5, p: 2, h: 5}. What is prob of sequence hr? 1/48 Calculate prob of sequence wzz when three letters picked without replacement from {z: 2, j: 4, w: 3}. 1/84 Four letters picked without replacement from wqwwqw. Give prob of sequence qwww. 2/15 Calculate prob of sequence brrn when four letters picked without replacement from brrbnnnrrrb. 1/44 Calculate prob of sequence rdrq when four letters picked without replacement from rggqrqqqgrdq. 1/396 Two letters picked without replacement from {z: 4, o: 11, q: 3}. Give prob of sequence oq. 11/102 Calculate prob of sequence awww when four letters picked without replacement from wtawattwawwaawaat. 1/68 Two letters picked without replacement from {x: 1, h: 3, y: 6, z: 1, g: 2}. Give prob of sequence hh. 1/26 Two letters picked without replacement from xxxxxxxxxxxzzzxx. Give prob of sequence zz. 1/40 What is prob of sequence ah when two letters picked without replacement from kaakkaaahk? 1/18 Calculate prob of sequence frxf when four letters picked without replacement from krkfxxrsfkkkrfrksr. 1/1224 Three letters picked without replacement from {a: 1, x: 2, z: 1}. Give prob of sequence axx. 1/12 Two letters picked without replacement from vnivnjz. What is prob of sequence vz? 1/21 What is prob of sequence jmrn when four letters picked without replacement from jdnndnjjkrmr? 1/660 Calculate prob of sequence rrr when three letters picked without replacement from rrrrrrrrrr. 1 Two letters picked without replacement from jjccjjcjjccjcjjcjjj. Give prob of sequence cc. 7/57 What is prob of sequence hort when four letters picked without replacement from {o: 2, r: 7, h: 1, w: 8, t: 1}? 7/46512 Calculate prob of sequence wvv when three letters picked without replacement from wwwwmvwwwpwtwvtwte. 5/1224 Two letters picked without replacement from {d: 13, g: 3, s: 3}. Give prob of sequence sg. 1/38 Two letters picked without replacement from {w: 3, u: 16, j: 1}. What is prob of sequence jj? 0 What is prob of sequence vwvv when four letters picked without replacement from {x: 1, w: 3, v: 4}? 3/70 Calculate prob of sequence fkc when three letters picked without replacement from {b: 1, i: 5, k: 5, f: 4, c: 1, l: 1}. 1/204 Two letters picked without replacement from {t: 3, q: 1, k: 2, x: 5, m: 6}. Give prob of sequence qx. 5/272 Four letters picked without replacement from nccncnnchncchcchhccp. What is prob of sequence cccc? 14/323 Four letters picked without replacement from {y: 2, z: 4, u: 8}. What is prob of sequence yzyz? 1/1001 What is prob of sequence hlll when four letters picked without replacement from {l: 7, h: 5}? 35/396 Calculate prob of sequence ovw when three letters picked without replacement from {w: 2, h: 1, i: 2, o: 1, v: 1, m: 1}. 1/168 Four letters picked without replacement from {h: 1, i: 1, t: 1, v: 4, n: 4, u: 7}. Give prob of sequence ivnv. 1/1530 Two letters picked without replacement from {r: 1, f: 2, v: 2, u: 2, n: 1, o: 1}. Give prob of sequence on. 1/72 Calculate prob of sequence zddd when four letters picked without replacement from zdzdzdzzzz. 1/120 Calculate prob of sequence kss when three letters picked without replacement from kskpkkspspsppp. 2/91 What is prob of sequence gy when two letters picked without replacement from bybbbbgbbbyybbybyy? 1/51 Calculate prob of sequence vs when two letters picked without replacement from svmwvvvvw. 5/72 Two letters picked without replacement from suus. Give prob of sequence us. 1/3 Two letters picked without replacement from peddsdsdnwwnssnww. Give prob of sequence nw. 3/68 Four letters picked without replacement from aavvnzvvvvaaavanzv. Give prob of sequence anav. 1/153 Four letters picked without replacement from mvbpcpcv. What is prob of sequence vvbp? 1/420 What is prob of sequence zl when two letters picked without replacement from lzlzzlllzzlz? 3/11 Two letters picked without replacement from cqtucqyxtyqctxc. Give prob of sequence yq. 1/35 What is prob of sequence gr when two letters picked without replacement from yprpyyryygrysryp? 1/60 What is prob of sequence ooyy when four letters picked without replacement from {y: 4, o: 3}? 3/35 Calculate prob of sequence gg when two letters picked without replacement from ggeehheqgqgg. 5/33 Three letters picked without replacement from {e: 1, q: 1, n: 1, k: 2, b: 1, x: 1}. What is prob of sequence xne? 1/210 What is prob of sequence bbf when three letters picked without replacement from fffffssbfffbfsf? 2/273 Three letters picked without replacement from hzmwhhmehzmzzzh. Give prob of sequence mwz. 1/182 Three letters picked without replacement from {m: 2, g: 11}. What is prob of sequence ggm? 5/39 Four letters picked without replacement from ssss. What is prob of sequence ssss? 1 Two letters picked without replacement from hcceqeehnhhohqoohh. Give prob of sequence ch. 7/153 Three letters picked without replacement from zvtvsmem. Give prob of sequence esz. 1/336 Three letters picked without replacement from {f: 2, u: 8, d: 2, t: 2, r: 3}. Give prob of sequence trd. 1/340 Calculate prob of sequence jpps when four letters picked without replacement from pwjswwp. 1/420 Calculate prob of sequence xx when two letters picked without replacement from {x: 2, e: 2, l: 1}. 1/10 What is prob of sequence dn when two letters picked without replacement from iftfiitniikdf? 1/156 Four letters picked without replacement from kkkkkkkkojjojkk. What is prob of sequence ojok? 1/546 Three letters picked without replacement from crrrppiprqpprphhp. Give prob of sequence icq. 1/4080 Two letters picked without replacement from aqoqaha. What is prob of sequence ah? 1/14 Four letters picked without replacement from kkkkkkkkkk. What is prob of sequence kkkk? 1 Four letters picked without replacement from {h: 3, k: 1, e: 1, i: 7}. Give prob of sequence kheh. 1/1980 What is prob of sequence kka when three letters picked without replacement from ccccacackaacckckkkc? 40/2907 What is prob of sequence dp when two letters picked without replacement from dpxbk? 1/20 What is prob of sequence bbaa when four letters picked without replacement from ababbbbbaab? 7/110 Three letters picked without replacement from {w: 2, z: 13, t: 3}. What is prob of sequence ttt? 1/816 Calculate prob of sequence ztt when three letters picked without replacement from tttzzztzzztzt. 35/286 Two letters picked without replacement from lyyylyyyyylyly. What is prob of sequence ll? 6/91 Calculate prob of sequence jdjj when four letters picked without replacement from dddjdjdjddpp. 7/1980 Two letters picked without replacement from {b: 4}. What is prob of sequence bb? 1 Three letters picked without replacement from dlkdekkekeklvkdkddk. Give prob of sequence eev. 1/969 Calculate prob of sequence dj when two letters picked without replacement from rdrrdjd. 1/14 Three letters picked without replacement from wwm. Give prob of sequence wwm. 1/3 Three letters picked without replacement from lqqlqlqqqrrq. Give prob of sequence llr. 1/110 What is prob of sequence yuh when three letters picked without replacement from yaygkyhgkuag? 1/440 Three letters picked without replacement from {d: 1, b: 1, k: 1, z: 11, s: 2}. What is prob of sequence kbs? 1/1680 Four letters picked without replacement from {i: 1, j: 2, k: 1, l: 1, z: 1, p: 1}. What is prob of sequence klpi? 1/840 What is pr
{ "pile_set_name": "DM Mathematics" }
*a**2 + 55*a - 23. Determine u(-20). -323 Let i(v) = -89*v**2 + 5516*v + 82. Calculate i(62). -42 Let g(h) = 2*h + 136. What is g(-24)? 88 Let s(n) = -n**2 + 62*n - 588. Give s(11). -27 Let m(t) = -32*t**2 + 27. Calculate m(3). -261 Let m(j) = -3*j**2 + 37*j - 34. Determine m(12). -22 Let p(b) = -b**3 - 18*b**2 - 24*b - 169. Determine p(-17). -50 Let m(i) = 21*i - 18. Determine m(-14). -312 Let h(f) = -2*f**3 + 32*f**2 + 116*f - 47. Determine h(19). -9 Let n(f) = -f**2 - 12*f + 50. What is n(-15)? 5 Let q(m) = 20*m + 635. Give q(-31). 15 Let g(h) = -99*h - 1066. Determine g(-11). 23 Let k(w) = -w**2 - 52*w + 837. Determine k(-65). -8 Let k(t) = 1363*t - 4085. Give k(3). 4 Let a(q) = -384*q + 3470. Determine a(9). 14 Let s(g) = 1224*g**2 - 2454*g + 4. Give s(2). -8 Let q(m) = m**2 + 223*m + 11300. What is q(-78)? -10 Let s(i) = -i**2 + 122*i + 32378. Give s(251). -1 Let o(u) = -3*u**2 + 158*u - 1859. Determine o(17). -40 Let i(b) = -3*b**3 + 26*b**2 - 28*b + 98. Determine i(8). 2 Let n(r) = -2*r**3 - 6*r**2 + 86*r + 49. Determine n(7). -329 Let i(f) = -f**3 + 17*f**2 - 21*f + 60. What is i(13)? 463 Let y(n) = -72*n**2 - 32*n + 44. What is y(-1)? 4 Let b(n) = -n**3 - 37*n**2 - 23*n + 636. Give b(-36). 168 Let q(g) = -2*g**3 - 6*g**2 - 12*g - 2. Calculate q(-2). 14 Let k(f) = -f**2 - 35*f - 184. Determine k(-5). -34 Let g(l) = -8*l**2 + 8*l - 9. What is g(1)? -9 Let i(q) = -56*q - 337. Determine i(-6). -1 Let v(c) = c**3 - 6*c**2 + 14*c - 36. Determine v(5). 9 Let z(u) = -5*u**2 - 161*u - 864. Determine z(-25). 36 Let v(d) = -d**3 - 6*d**2 + 456*d + 2778. Give v(-6). 42 Let c(b) = -29*b - 176. Determine c(-5). -31 Let p(r) = 14*r**2 + 4120*r + 1180. What is p(-294)? 4 Let z(s) = -2466*s - 39456. Give z(-16). 0 Let s(d) = -2*d**3 + 34*d**2 + 81*d - 89. Determine s(19). 6 Let n(i) = -4618*i + 36933. Determine n(8). -11 Let g(z) = 5*z**2 - 31*z - 94. Determine g(14). 452 Let z(k) = k**2 + 18*k + 35. Give z(-5). -30 Let x(a) = -409*a**2 - 32*a - 3. Give x(-1). -380 Let n(a) = -6*a**3 - 7*a**2 + 59*a + 121. What is n(-2)? 23 Let l(y) = -y**3 + 35*y**2 - 31*y - 101. Give l(34). 1 Let j(g) = 7*g**2 - 30*g - 63. Give j(-2). 25 Let q(o) = -123*o + 2712. Determine q(22). 6 Let j(v) = -5076*v + 10149. Determine j(2). -3 Let p(d) = -419*d + 10043. Calculate p(24). -13 Let p(m) = -2*m**2 - 3*m - 47. What is p(-5)? -82 Let y(b) = -949*b + 8580. Calculate y(9). 39 Let j(i) = i**3 - 14*i**2 - 57*i - 180. What is j(17)? -282 Let x(f) = -f**3 - f + 30. Calculate x(-6). 252 Let n(o) = -2*o**2 + 9*o + 207. What is n(17)? -218 Let i(b) = -46*b - 316. Calculate i(-7). 6 Let t(o) = -20*o**2 - 3*o + 157. Calculate t(-3). -14 Let h(p) = p**2 - 374*p + 3649. Calculate h(10). 9 Let d(w) = -9*w**2 + 702*w - 3508. Give d(5). -223 Let l(q) = -99*q**2 - 33*q + 1. What is l(1)? -131 Let i(h) = -5675*h + 45405. What is i(8)? 5 Let v(q) = -43*q**2 + 130*q - 129. Calculate v(1). -42 Let j(r) = -131*r + 2885. Calculate j(22). 3 Let u(d) = -4*d**2 + 81*d + 39. What is u(21)? -24 Let s(a) = 6*a**3 - 16*a**2 - 31*a + 12. Give s(-2). -38 Let a(i) = -9*i**2 - 94*i - 15. Determine a(-10). 25 Let v(a) = a**2 + 25*a + 179. Determine v(-26). 205 Let y(g) = -g**2 + 39*g - 231. Give y(32). -7 Let l(h) = -4*h**3 - 3*h**2 - 4*h + 7. Determine l(2). -45 Let u(l) = 51*l - 1622. What is u(27)? -245 Let w(z) = z**3 - 19*z**2 + 18*z - 11. Calculate w(18). -11 Let x(j) = -23*j - 13. Calculate x(5). -128 Let v(l) = -l**3 + 218*l**2 + 2278*l - 22. Determine v(-10). -2 Let g(a) = -a**2 + 7*a + 8. What is g(9)? -10 Let g(m) = 106*m - 20. What is g(-2)? -232 Let c(x) = 544*x - 3809. What is c(7)? -1 Let l(r) = -20*r**3 + 2*r**2 + 3*r + 5. Give l(-2). 167 Let y(i) = 53*i + 2612. What is y(-50)? -38 Let v(a) = -a**2 - 63*a - 966. Determine v(-36). 6 Let p(c) = 52*c + 4897. What is p(-94)? 9 Let d(i) = -i**2 - 34*i + 145. What is d(-38)? -7 Let w(d) = d**2 - 22*d + 19. Determine w(20). -21 Let u(f) = 7*f**3 - 30*f**2 + 7*f - 23. Calculate u(3). -83 Let j(y) = y**3 - 25*y + 211. What is j(0)? 211 Let m(n) = 2*n**2 - 51*n + 201. Give m(20). -19 Let o(r) = 110*r + 1632. Give o(-15). -18 Let z(k) = 9*k**2 - 31*k - 133. What is z(-3)? 41 Let j(a) = a**3 - 19*a**2 + 46*a - 149. Calculate j(17). 55 Let h(a) = a**3 + 29*a**2 - 30*a - 1. What is h(-30)? -1 Let a(x) = x**3 + x**2 - 5*x - 36. Calculate a(6). 186 Let k(v) = -98*v + 82. Calculate k(3). -212 Let h(b) = 6*b - 53. Determine h(8). -5 Let c(g) = -4*g**2 - 115*g - 183. What is c(-27)? 6 Let t(d) = -d**2 + 179*d - 6895. What is t(123)? -7 Let w(q) = -14*q**2 + 279*q + 15. Determine w(20). -5 Let t(k) = -5*k**3 - 8*k**2 - 3*k - 2. Give t(-2). 12 Let f(y) = y**3 - 37*y**2 + 44*y - 347. Determine f(36). -59 Let c(g) = 24*g - 278. Calculate c(11). -14 Let u(s) = s**3 + 8*s**2 - 35*s + 38. Give u(-7). 332 Let x(s) = -18*s**3 - 89*s**2 + 93*s + 439. What is x(-5)? -1 Let i(p) = -8*p + 34. Determine i(30). -206 Let x(l) = l**3 + 11*l**2 + 7*l - 6. What is x(-10)? 24 Let t(u) = u**3 + 14*u**2 - 34*u - 45. Calculate t(-16). -13 Let r(v) = -2*v**3 - 371*v**2 + 195*v + 1598. Calculate r(-186). -76 Let c(a) = 1649*a - 23. Give c(0). -23 Let k(d) = -2862*d + 5702. Determine k(2). -22 Let m(r) = -8121*r - 316714. Calculate m(-39). 5 Let q(g) = 3*g**2 - 111*g + 493. Determine q(7). -137 Let c(v) = -36*v + 652. What is c(31)? -464 Let z(i) = -i - 9. Calculate z(-10). 1 Let d(o) = -o**3 - 9*o**2 + 28*o + 115. Calculate d(-11). 49 Let f(o) = -3*o**3 - 14*o**2 - 26*o - 10. Give f(-5). 145 Let w(g) = 14*g - 211. Calculate w(21). 83 Let h(a) = 5*a - 250. Give h(24). -130 Let a(b) = b**2 - 2152*b - 6467. Determine a(-3). -2 Let l(t) = 6*t + 441. Give l(-48). 153 Let o(j) = -33*j**2 - 368*j - 46. Give o(-11). 9 Let x(w) = -3*w**2 + 104*w + 750. Calculate x(-7). -125 Let t(d) = -d**3 + 23*d**2 + 36*d - 51. Determine t(24). 237 Let r(i) = -2*i**2 + 24*i - 72. Determine r(14). -128 Let j(l) = 7*l + 28. Determine j(-5). -7 Let z(v) = 86*v - 12. Calculate z(1). 74 Let h(s) = 192*s - 6. Give h(1). 186 Let h(v) = -1095*v + 15312. Give h(14). -18 Let t(s) = -s**3 + s**2 + 123*s - 9. Calculate t(-9). -306 Let z(u) = u**3 + 37*u**2 + 288*u + 46. What is z(-26)? -6 Let u(v) = 2*v**2 - 7*v - 706. Determine u(-17). -9 Let r(c) = 3*c**3 - 32*c**2 + 122*c - 1039. What is r(10)? -19 Let k(f) = -30*f**3 + 18*f - 20. Determine k(1). -32 Let w(d) = -141*d**2 + 9*d - 2. What is w(-1)? -152 Let a(j) = -j**3 + 62*j**2 - 816*j - 36. What is a(19)? -17 Let o(a) = -a**3 + 20*a**2 + 16*a + 189. What is o(21)? 84 Let h(n) = 33*n**3 + 2*n**2 - 88*n - 173. Determine h(-2). -253 Let z(a) = 2*a**2 + 3*a + 90. Calculate z(-6). 144 Let k(a) = -a**3 - a**2 + 15*a - 26. What is k(2)? -8 Let j(t) = -t**3 - 6*t**2 - 7*t - 63. Calculate j(-6). -21 Let c(u) = -4*u**2 - 4*u + 31. Determine c(-3). 7 Let s(b) = -b**3 + 31*b - 2. What is s(0)? -2 Let t(l) = -l**3 + 25*l**2 - 53*l - 272. Determine t(22). 14 Let d(k) = -8*k**3 + k**2 + 9*k + 7. Determine d(-1). 7 Let g(v) = 3*v**2 + 217*v - 453. Give g(2). -7 Let f(x) = x**3 - x**2 - 172*x - 8. Give f(0). -8 Let n(o) = 6*o**2 + 104*o - 670. Give n(5). 0 Let y(a) = -2*a**3 - 60*a**2 - 41*a + 68. Determine y(-29). -425 Let v(w) = w**3 - 21*w**2 + 113*w - 1871. What is v(20)? -11 Let i(p) = 55*p + 364. Calculate i(-7). -21 Let f(x) = 5*x**3 + 16*x**2 + 13*x - 46. Give f(5). 1044 Let m(t) = 1620*t + 115023. Determine m(-71). 3 Let b(o) = 33*o - 125. Calculate b(3). -26 Let i(t) = 2*t**3 - 32*t**2 - 83*t + 185. Determine i(18). -13 Let g(j) = 180*j + 3597. Calculate g(-20). -3 Let y(k) = -k**2 - 379*k - 16989. Determine y(-52). 15 Let s(h) = -27*h**2 - 125*h + 719. What is s(-8)? -9 Let a(z) = -z**3 + 24*z**2 - 24*z - 1. Give a(23). -24 Let z(k) = -4*k**3 + 372*k**2 + 64*k - 5950. What is z(93)? 2 Let p(a) = -a**2 - 18*a + 34. Give p(3). -29 Let o(c) = -12*c**2 + 62*c + 346. Calculate o(-5). -264 Let z(o) = 32*o**2 + 7*o + 4. What is z(1)? 43 Let z(v) = 3*v**2 + 22*v - 47. Determine z(2). 9 Let x(d) = d**2 - 5*d + 92. What is x(-17)? 466 Let n(u) = 2*u**3 - 23*u**2 + 34*u + 21. Determine n(6). -171 Let w(h) = -h**3 + 6*h**2 - 661*h + 1968. Give w(3). 12 Let i(r) = -1409*r + 70466. What is i(50)? 16 Let o(r) = 1255*r - 33880. Give o(27). 5 Let p(d) = 5*d**2 - 128*d + 21. Calcula
{ "pile_set_name": "DM Mathematics" }
73 and 0.05. 243537.323 Total of -0.311573608 and 0.12. -0.191573608 What is 2279691 plus 0.0749? 2279691.0749 What is 4.58 minus -0.005038? 4.585038 Sum 94 and 87003109. 87003203 What is the difference between -0.36 and 237883884? 237883884.36 What is -0.02 minus 4482.038? -4482.058 Total of 1 and -16614108. -16614107 What is -1 less than -18661056.32? -18661055.32 Sum 0.4 and 63002524.34. 63002524.74 Calculate -0.155 + -19782600. -19782600.155 What is 2 less than -2.874232915? -4.874232915 Add -134.12 and 149. 14.88 Calculate 64 + 11045690. 11045754 0 + -6250848 -6250848 Calculate -441486 + -407. -441893 Work out -103.3 - 4738396. -4738499.3 Work out -42331 + 5899. -36432 What is 56909444620 minus 0? 56909444620 Work out -22 + 412517849. 412517827 Subtract 2954623 from -3.1. -2954626.1 -0.410061 + 1922.6 1922.189939 Work out -0.03314 - 817. -817.03314 Work out -2635 - -20.9963. -2614.0037 What is 9010.429 plus 3? 9013.429 Add 264778 and -779. 263999 What is 43.2564 take away 58? -14.7436 10697.85 - -0.1 10697.95 What is the difference between 21.307279 and 3? 18.307279 Work out -5.1942303 + -0.4. -5.5942303 Add together -1.778 and 9.62356. 7.84556 Work out -1.4 - -0.773403. -0.626597 What is the difference between 245869 and -2072? 247941 What is -2350.177206 take away -2? -2348.177206 4284.7596+-0.29 4284.4696 What is -41315.692 take away -27? -41288.692 What is -6.824 minus 1854715? -1854721.824 Sum 1.78 and -643619. -643617.22 0.1214244 + -0.3 -0.1785756 Calculate -6 - -15866844. 15866838 Work out 4.229427931 + -3. 1.229427931 What is -52444.89 + -847? -53291.89 Put together 634544 and -32. 634512 Add together -246759 and 2.058. -246756.942 Calculate 0.6073 - 11.306. -10.6987 Add together -8.4481 and 0.27064. -8.17746 What is the distance between -0.020471469 and 0.004? 0.024471469 Add -28 and 453609. 453581 Work out -4846.4 - -0.2. -4846.2 What is 0.0175 - 1117356? -1117355.9825 Subtract -9787 from -267151. -257364 Work out 0.9 + -0.028136243. 0.871863757 Work out -0.95 - 0.055784. -1.005784 What is -1323.4438 - 0.276? -1323.7198 1 + -5356738859 -5356738858 Calculate 1.04295 + -0.17299. 0.86996 What is the difference between 44492 and 8094? 36398 Total of 3.3519 and -11.8. -8.4481 What is -275 less than 58321? 58596 Subtract -9 from -0.05903999489. 8.94096000511 Total of -24001901 and -3. -24001904 Add together -1.626 and -45155.9. -45157.526 Put together -27.4995 and -9.93. -37.4295 Sum -71.02 and -21.27. -92.29 Put together -383.48 and -8377. -8760.48 Calculate -8572152456 - -0.8. -8572152455.2 What is -87023965 less than -6? 87023959 What is 0.5 - -128321358? 128321358.5 What is 92211971 - 3? 92211968 Calculate 0.2 - -0.8926573947. 1.0926573947 What is the distance between -0.07 and -369808998? 369808997.93 Work out -0.0064 + -9617719. -9617719.0064 0.0404+-35.64326 -35.60286 What is 2.926351 - 0.1? 2.826351 Calculate -9199 - -0.12. -9198.88 Work out 290608 - 0.3. 290607.7 What is -0.01152649575 plus -0.2? -0.21152649575 What is 0 less than -0.087660377845? -0.087660377845 Add -256087 and -0.0322. -256087.0322 Work out 13697366114 + -0.4. 13697366113.6 What is 5.6 minus -16246508? 16246513.6 Work out -256 + 1378114. 1377858 What is -8018257 - 0.85? -8018257.85 818 - -0.1079257 818.1079257 Add together -297.8292 and 11.56. -286.2692 Put together -1101330 and -167. -1101497 What is the distance between -251 and 21441? 21692 Subtract -814109 from -0.61007. 814108.38993 Calculate -584541.571 - -46. -584495.571 What is 240334 take away -4200? 244534 Add together 141798.7 and -59. 141739.7 What is the distance between -1356.71 and 29902? 31258.71 What is the distance between 138249 and -10882? 149131 What is -0.1031 take away 4382? -4382.1031 What is -82.1 take away -0.0192? -82.0808 What is 0.40531533 minus -0.4? 0.80531533 Put together 0.3 and -23202790886. -23202790885.7 What is 1326.578 + -3205? -1878.422 What is -6822327 less than -8? 6822319 What is -534 - 4588.133? -5122.133 -0.456776 - 2.7 -3.156776 What is -32.339919 + 0.02? -32.319919 What is 4765516 + 208? 4765724 -41.17+137.7816 96.6116 576433485 + 135 576433620 Calculate -4195625.964 - 0.4. -4195626.364 What is 0.2 plus 360484523? 360484523.2 Work out -65796472.114 + 0.5. -65796471.614 What is 751 + 23642? 24393 What is 40797349 - 2? 40797347 Work out -1 + 3344137768. 3344137767 What is 495090328.5 minus -4? 495090332.5 What is 7898180896 minus 8? 7898180888 Calculate 0.0833302 - -170. 170.0833302 What is -23 plus -5906477? -5906500 Calculate 1.5 + 435118.5. 435120 Sum -410.474757 and 1. -409.474757 Add -1139017 and 0.325. -1139016.675 Sum -0.4 and -19975.630069. -19976.030069 What is 381 plus 500.6596? 881.6596 Add -1 and 2464.247. 2463.247 Add -4000545802 and 0.5. -4000545801.5 Subtract 0.46379485 from 0.09. -0.37379485 What is -219.449798 less than 3? 222.449798 What is -71471 + -1.62415? -71472.62415 Work out 13098736884 + 0.1. 13098736884.1 Add 772626231 and 1. 772626232 -0.3+-41.136 -41.436 Work out 8045498629 + -2. 8045498627 Total of -0.0381 and 88098047. 88098046.9619 Work out -563 - -2.97681. -560.02319 What is 45.8763445 plus 3.5? 49.3763445 8241004 - 91 8240913 Sum 35 and 12608987.7. 12609022.7 Put together 14970478 and -3. 14970475 30511+773 31284 Put together -4948.561 and -7. -4955.561 What is 37 take away -238.783? 275.783 139281090 + -2 139281088 What is -381.39 plus 7169.6? 6788.21 Calculate -6 - -60249.9065. 60243.9065 Subtract 20616503 from 0.21. -20616502.79 -44.3116+-3 -47.3116 -357.88 - 141 -498.88 Add together 0.8 and -4211881.55. -4211880.75 What is the distance between 237.37886 and -0.34? 237.71886 What is -1468942.8056 + -0.4? -1468943.2056 Sum 5 and -35584378. -35584373 Put together 228152 and -568.39. 227583.61 What is 0.632309 - 9.2? -8.567691 Calculate 0.02 - -5.86246204. 5.88246204 Put together -4.1411 and 109.72. 105.5789 Add together 4703932.93 and -0.6. 4703932.33 Add together -0.405127515 and 0.002. -0.403127515 6 - 0.122290562 5.877709438 Add -126 and -0.478603. -126.478603 What is -42539145 take away 0.036? -42539145.036 -65.016+974 908.984 Add -59739863.96 and -0.4. -59739864.36 What is the difference between -183 and -2035.243? 1852.243 Total of -0.03 and -2894895688. -2894895688.03 What is -7857 take away 852000? -859857 What is 5.322 take away 808.3? -802.978 Work out -437 + -2062.088. -2499.088 What is 1499.9 plus 1.857? 1501.757 0.1 - -113135999 113135999.1 Total of 125637.174 and -9. 125628.174 What is 2.01 - 48.6? -46.59 Subtract 7 from -574880.6. -574887.6 Subtract -22089.984 from -513. 21576.984 108851.9+0.0963 108851.9963 What is the distance between 10320 and -20104? 30424 What is -7 - 17634.4994? -17641.4994 What is -0.1 minus 94513637? -94513637.1 What is -94160288 minus -9.8? -94160278.2 What is the difference between -0.2 and -16633799.593? 16633799.393 -2793+386907 384114 Calculate 1751877.7 + -75. 1751802.7 What is -0.01658 plus -292375.2? -292375.21658 Calculate 660 + -17.03683. 642.96317 Put together -0.00006 and -6.61. -6.61006 What is 0.5 plus 12273349515? 12273349515.5 Calculate 22 - 37.88412. -15.88412 Add together 155555.68 and 1. 155556.68 Put together 461.7279 and -1286. -824.2721 Work out 0.95757 + -82.5. -81.54243 -54 - 1056.765 -1110.765 Subtract 0.33988 from -0.291. -0.63088 -16506 - -0.119 -16505.881 Calculate 419090 + -0.9072. 419089.0928 Add -120.7454248 and 88. -32.7454248 Add together 33 and -69305.25. -69272.25 What is -0.2 less than -1185.1617? -1184.9617 What is 0.17 take away 646.90121? -646.73121 Subtract 0.462 from 264592. 264591.538 Work out -971 + 481.569. -489.431 What is -0.09324498 plus -4? -4.09324498 What is the difference between -1284.2482 and -6? 1278.2482 Add together -67.326821 and 0.3. -67.026821 What is 23520.9584 take away 5? 23515.9584 What is -25630720402 less than 4? 25630720406 Work out -686462 - -6.193. -686455.807 Work out 45618.93 + -0.43. 45618.5 What is the distance between 7226362 and 55? 7226307 2224528595+4 2224528599 Work out 0.02425 + 8187. 8187.02425 Put together -2.7 and 4293293. 4293290.3 Work out -7 + -2050.588118. -2057.588118 What is -5866.427809 minus 1? -5867.427809 Put together -634703 and -5.9. -634708.9 Total of -0.1 and 19581.8099. 19581.7099 What is -2
{ "pile_set_name": "DM Mathematics" }
829 rounded to three decimal places? 0.458 What is -2266.7 rounded to the nearest 100? -2300 What is 134190 rounded to the nearest 10000? 130000 Round 0.002922 to 3 decimal places. 0.003 Round -0.38677 to 1 decimal place. -0.4 Round 78980 to the nearest ten thousand. 80000 Round -88.04 to 0 decimal places. -88 Round 11.1925 to zero dps. 11 Round -5180000 to the nearest 1000000. -5000000 What is -0.013552 rounded to two decimal places? -0.01 Round -18555000 to the nearest 1000000. -19000000 Round 983.21 to the nearest ten. 980 Round 2174000 to the nearest ten thousand. 2170000 Round -41.459 to the nearest 10. -40 Round -0.00052807 to four dps. -0.0005 What is 184930 rounded to the nearest 1000? 185000 What is 4741 rounded to the nearest one thousand? 5000 Round 0.0000724 to five dps. 0.00007 Round 2030 to the nearest one hundred. 2000 What is 1.07547 rounded to two dps? 1.08 What is 45240000 rounded to the nearest one million? 45000000 What is -532.3 rounded to the nearest 10? -530 Round 0.0844 to two decimal places. 0.08 Round -8330 to the nearest one thousand. -8000 Round 29784 to the nearest 100. 29800 Round 0.00069439 to five dps. 0.00069 What is 92100 rounded to the nearest one thousand? 92000 What is 40004 rounded to the nearest 1000? 40000 Round -1310400 to the nearest one hundred thousand. -1300000 What is 0.1935 rounded to 1 decimal place? 0.2 What is 2.743 rounded to one dp? 2.7 What is 855.34 rounded to the nearest 10? 860 What is -2695600 rounded to the nearest one million? -3000000 Round -138250 to the nearest one thousand. -138000 What is 0.526 rounded to 1 decimal place? 0.5 What is -0.0001796 rounded to four dps? -0.0002 Round -37870 to the nearest one thousand. -38000 What is -183.1 rounded to the nearest 10? -180 Round -2.8009 to one dp. -2.8 Round -2.204 to one dp. -2.2 Round 136700000 to the nearest one million. 137000000 What is 596700 rounded to the nearest 100000? 600000 Round 0.3866 to three decimal places. 0.387 Round -0.0000183702 to 7 dps. -0.0000184 Round 4890 to the nearest 100. 4900 What is -54480 rounded to the nearest ten thousand? -50000 Round -0.035098 to 3 dps. -0.035 What is -0.0278773 rounded to 4 dps? -0.0279 Round -7920 to the nearest 1000. -8000 What is 7.475 rounded to 1 decimal place? 7.5 Round 15500000 to the nearest 1000000. 16000000 What is 0.000004473 rounded to 7 dps? 0.0000045 Round -0.0014278 to 4 decimal places. -0.0014 Round 613000 to the nearest 100000. 600000 Round -29890 to the nearest one thousand. -30000 What is 0.00022755 rounded to 5 decimal places? 0.00023 What is -13.797 rounded to the nearest integer? -14 What is -929200 rounded to the nearest one hundred thousand? -900000 Round 0.0000083288 to six decimal places. 0.000008 Round 0.0062 to three decimal places. 0.006 What is -712800 rounded to the nearest 100000? -700000 What is 9.869 rounded to 1 dp? 9.9 Round 326 to the nearest 10. 330 What is -0.0022762 rounded to four dps? -0.0023 Round 4870000 to the nearest one hundred thousand. 4900000 What is -24250000 rounded to the nearest 1000000? -24000000 Round 38664 to the nearest 100. 38700 Round -7130 to the nearest one hundred. -7100 What is -309060 rounded to the nearest one hundred thousand? -300000 What is 0.000000513 rounded to seven decimal places? 0.0000005 Round -0.00156671 to 5 dps. -0.00157 Round -0.0037931 to three dps. -0.004 Round 65590000 to the nearest 1000000. 66000000 What is -0.001357 rounded to three dps? -0.001 What is -1913000 rounded to the nearest 100000? -1900000 Round -0.000011 to 6 dps. -0.000011 What is 1690700 rounded to the nearest ten thousand? 1690000 Round 0.0000003579 to seven decimal places. 0.0000004 What is 0.0154 rounded to 4 decimal places? 0.0154 Round -0.637 to two dps. -0.64 Round 0.000006084 to seven dps. 0.0000061 Round -820000 to the nearest one hundred thousand. -800000 What is -1973670 rounded to the nearest ten thousand? -1970000 What is -0.0000059291 rounded to seven decimal places? -0.0000059 What is 1407 rounded to the nearest one hundred? 1400 Round -0.0000215088 to 7 dps. -0.0000215 Round -1831100 to the nearest 10000. -1830000 Round 0.068865 to three dps. 0.069 What is -88.8 rounded to 0 decimal places? -89 Round -0.00016823 to 4 decimal places. -0.0002 What is -987.7 rounded to the nearest ten? -990 What is -31976.5 rounded to the nearest one hundred? -32000 What is 0.000018805 rounded to six dps? 0.000019 What is -0.512 rounded to one dp? -0.5 What is 600000 rounded to the nearest 10000? 600000 What is -368219000 rounded to the nearest 1000000? -368000000 What is -0.0112575 rounded to four dps? -0.0113 What is 15222000 rounded to the nearest 1000000? 15000000 What is -71.36 rounded to 0 dps? -71 Round 1368 to the nearest ten. 1370 What is -20646 rounded to the nearest 100? -20600 What is -0.00015652 rounded to five decimal places? -0.00016 Round 67963 to the nearest one hundred. 68000 What is 3604920 rounded to the nearest 10000? 3600000 Round -404.233 to the nearest 10. -400 Round -122.3 to zero dps. -122 Round 0.0023288 to 4 decimal places. 0.0023 What is -0.0001617 rounded to six decimal places? -0.000162 Round 0.00019188 to six dps. 0.000192 What is 4254.3 rounded to the nearest ten? 4250 What is -7.8981 rounded to zero decimal places? -8 Round 0.01012 to three dps. 0.01 Round -0.2149 to two decimal places. -0.21 Round 1954 to the nearest 10. 1950 Round 626570 to the nearest ten thousand. 630000 Round -118.12 to the nearest 10. -120 Round 103470000 to the nearest 1000000. 103000000 What is -0.00092739 rounded to five decimal places? -0.00093 Round -14203.6 to the nearest 100. -14200 What is 361770 rounded to the nearest ten thousand? 360000 Round -23.95 to the nearest integer. -24 What is -454 rounded to the nearest one thousand? 0 Round 196.12 to the nearest 10. 200 What is -2.48 rounded to the nearest integer? -2 What is -0.00000272861 rounded to 7 dps? -0.0000027 What is -0.000097376 rounded to 5 dps? -0.0001 Round 0.0005426 to 5 dps. 0.00054 What is -1028.4 rounded to the nearest one hundred? -1000 Round -0.0008323 to four dps. -0.0008 What is 229990000 rounded to the nearest 1000000? 230000000 Round 0.0000003019 to seven decimal places. 0.0000003 What is -5.73 rounded to one decimal place? -5.7 Round -0.00000061585 to seven decimal places. -0.0000006 What is 6574 rounded to the nearest 1000? 7000 Round -1.4013 to two dps. -1.4 Round 0.95 to the nearest integer. 1 Round -0.000007112 to six dps. -0.000007 Round -322500 to the nearest ten thousand. -320000 What is 246450 rounded to the nearest ten thousand? 250000 Round 187.12 to zero dps. 187 What is -2189500 rounded to the nearest 10000? -2190000 What is 2.588 rounded to one dp? 2.6 What is 14888.3 rounded to the nearest 1000? 15000 What is 0.18859 rounded to two decimal places? 0.19 What is 0.0000027698 rounded to 7 dps? 0.0000028 Round 66.1 to the nearest integer. 66 What is 0.52436 rounded to 2 dps? 0.52 Round -0.00029812 to six dps. -0.000298 What is -0.0000093396 rounded to six decimal places? -0.000009 What is -2406.9 rounded to the nearest ten? -2410 Round -0.000096 to five dps. -0.0001 Round 28.479 to one dp. 28.5 Round 1.126 to the nearest integer. 1 Round -80553 to the nearest 10000. -80000 What is -0.00005103 rounded to five dps? -0.00005 What is 35.46 rounded to the nearest 10? 40 What is -561 rounded to the nearest 100? -600 What is -1161 rounded to the nearest 100? -1200 Round 4922700 to the nearest 100000. 4900000 What is 45.493 rounded to the nearest integer? 45 Round -0.018701 to 2 dps. -0.02 Round -0.0000039 to 6 dps. -0.000004 Round 9.84 to 1 dp. 9.8 What is 0.045044 rounded to four decimal places? 0.045 What is -86197 rounded to the nearest one thousand? -86000 Round 0.02739 to four dps. 0.0274 Round -34000 to the nearest one thousand. -34000 Round -0.0002972 to 5 decimal places. -0.0003 What is -1.607 rounded to 1 decimal place? -1.6 What is -29750 rounded to the nearest 10000? -30000 What is -1.75 rounded to one dp? -1.8 Round 0.0017767 to 5 dps. 0.00178 Round -1.84284 to 1 dp. -1.8 Round 0.00033078 to six decimal places. 0.000331 What is 0.25775 rounded to one decimal place? 0.3 What is 459100 rounded to the nearest one hundred thousand? 500000 Ro
{ "pile_set_name": "DM Mathematics" }
5520*t**2 Let o(i) be the first derivative of 49*i**6/30 - 17*i**2 - 53*i - 1. Let y(z) be the first derivative of o(z). Differentiate y(c) wrt c. 196*c**3 Find the second derivative of 364*b - 1344*b**3 + 581*b + 1343*b**3 + 170*b**2 - 233*b wrt b. -6*b + 340 Let t = 48 + -39. Differentiate -2 + 2*b**2 + 7*b - t*b**4 - 2*b**2 - 4*b**4 - 79 with respect to b. -52*b**3 + 7 Let d = 107 - 110. Let p(x) = 24*x**4 - 4*x**3 - 6*x**2 - 3. Let q(i) = i**3 + 1. Let o(a) = d*q(a) - p(a). What is the third derivative of o(b) wrt b? -576*b + 6 What is the second derivative of 7*i**4 + 299*i + 2*i**4 - 6*i**4 + 1919*i + 109*i**3 - 5*i**4 wrt i? -24*i**2 + 654*i Let c(p) be the first derivative of 2556*p**5/5 - 5*p**3/3 + 1129*p + 406. Find the third derivative of c(i) wrt i. 61344*i Suppose 0*l + 20 = 4*l. Find the second derivative of -10*u - 52*u**5 + 1 - 101*u**l + 17*u**5 + 20*u**5 wrt u. -2320*u**3 Find the first derivative of 1054*d**4 + 256 + 2*d**2 + 592*d**4 - 2*d**2 - 341*d**4 wrt d. 5220*d**3 Let o(p) = -p + 1. Let q = 45 - 25. Let n(b) = q - 40*b + 9 + 12*b. Let w(k) = n(k) - 5*o(k). Find the first derivative of w(y) wrt y. -23 Let q(k) be the first derivative of -806*k**3 + 524*k**2 - 2265. Find the second derivative of q(a) wrt a. -4836 Let n(b) be the first derivative of 7*b**5/5 - b**3/3 - 2*b**2 + 187*b - 280. Find the second derivative of n(u) wrt u. 84*u**2 - 2 Let o(j) be the first derivative of -83*j**6/15 - 37*j**4/12 + 71*j - 226. Let b(h) be the first derivative of o(h). What is the third derivative of b(c) wrt c? -3984*c Let i be (-1)/(3/(-2))*(-297)/(-18). Differentiate -38*a + 13 - 14 + i*a with respect to a. -27 Suppose -5*z - 4*h = -31, -2*h + 20 = 20*z - 16*z. Find the third derivative of -47*i**6 + i**2 + 1510*i**3 - 1510*i**z wrt i. -5640*i**3 Find the third derivative of -31*a - 339*a**3 + 2 - 282*a - 966*a**3 - 858*a**3 + 6*a**2 wrt a. -12978 Let c(n) be the third derivative of -4661*n**6/120 + 1349*n**3/2 - n**2 - 5*n + 8. Differentiate c(v) with respect to v. -13983*v**2 Find the second derivative of 2210*i + 852*i + 2605*i + 5885*i**5 - 1378*i wrt i. 117700*i**3 Let w(b) be the first derivative of -50*b + 54 - 51/2*b**2. What is the first derivative of w(u) wrt u? -51 Suppose -3*z - 2310 = -2325. Let p(m) be the second derivative of -z*m**2 - 13/12*m**4 + 0 - 7*m + 0*m**3. Differentiate p(u) with respect to u. -26*u Suppose 7*c - 17854 = -613. What is the second derivative of -4 - 60*n**2 + 4 + c*n - 2506*n wrt n? -120 Let h(w) be the first derivative of -1947*w**4/4 + 1759*w**3/3 - 4109. What is the third derivative of h(c) wrt c? -11682 What is the second derivative of -66*m**3 - 2*m**5 - 28533*m**4 + 1312*m + 28540*m**4 + 1185*m wrt m? -40*m**3 + 84*m**2 - 396*m Let t(c) = -c**2 - 10*c + 6. Let u be t(-8). Differentiate -9 - 124*y + u - 8 + 57 with respect to y. -124 What is the third derivative of -16*d - 9*d + 39*d - 14*d + 3371*d**2 - 1599*d**3 wrt d? -9594 Let a = -66 - -76. Suppose -a = 14*w - 24. Differentiate -666*i + 1 + w + 696*i with respect to i. 30 Let v(n) be the second derivative of 0*n**5 + 0 + 113/42*n**7 + 102*n - 53/2*n**3 + 0*n**6 + 0*n**2 + 0*n**4. What is the second derivative of v(b) wrt b? 2260*b**3 Let i(l) = -41*l + 2. Let o(a) = -2190*a + 218. Let g(y) = 6*i(y) + o(y). What is the first derivative of g(p) wrt p? -2436 Let j(k) be the first derivative of 0*k**2 + 137/3*k**3 + 207 - 4*k. What is the derivative of j(l) wrt l? 274*l Suppose 4*z = 3*h + 3*z - 7, -h - 3*z + 19 = 0. What is the third derivative of 6*a**5 - h*a**5 + 1 + 4*a**2 + 0 wrt a? 120*a**2 Let d(z) be the second derivative of -z**6/15 - 61*z**5/10 - 189*z**2/2 - 5*z + 27. Find the first derivative of d(k) wrt k. -8*k**3 - 366*k**2 Let v(l) = -l**5 + l - 2. Let s(h) = 477*h**5 - 981*h + 24. Let t(z) = -s(z) - 12*v(z). Find the second derivative of t(w) wrt w. -9300*w**3 What is the second derivative of 2*i**2 - 909*i**3 + 4*i**2 - 2*i + 1958 - 3377 wrt i? -5454*i + 12 Let l be (-156)/(-48) + -3 + 2659/4. Find the second derivative of 579*u + 2 - 2 - 79*u**5 - 2*u**4 - l*u wrt u. -1580*u**3 - 24*u**2 Let z(y) be the first derivative of 28*y**4 + 5*y**3/3 - 642*y**2 + 2900. What is the second derivative of z(t) wrt t? 672*t + 10 Let m(w) = 42*w**2 + 5636*w - 9147. Let c(r) = -8*r**2 - 1127*r + 1829. Let f(a) = -16*c(a) - 3*m(a). What is the first derivative of f(b) wrt b? 4*b + 1124 Find the third derivative of -65*n + 8 - 57*n - 25*n**2 + 4 - 975*n**5 + 122*n wrt n. -58500*n**2 Let k be ((-10)/3)/((-12)/18 - 0). Find the third derivative of m**4 - m**4 + 399 - 8*m**k + 9*m**3 + 81*m**2 - 401 wrt m. -480*m**2 + 54 Let a(m) = 2392*m**2 - 14*m - 4163. Let d(l) = 1200*l**2 - 8*l - 2081. Let z(t) = 4*a(t) - 7*d(t). Differentiate z(r) wrt r. 2336*r Let g(x) be the first derivative of 7*x**4 - 8*x**3/3 + x**2/2 - 88*x + 199. Let p(n) be the first derivative of g(n). Find the second derivative of p(q) wrt q. 168 Let w(f) = -70*f**4 - 12*f**3 - 6*f**2 - 3*f - 405. Let h(g) = -71*g**4 - 16*g**3 - 8*g**2 - 4*g - 404. Let v(p) = -3*h(p) + 4*w(p). Differentiate v(z) wrt z. -268*z**3 Suppose -a + 0*a + 3 = 0. Suppose -8*g + 26 = 4*o - a*g, -4*o - g + 18 = 0. What is the derivative of 15*v**o - 26 - 35 - 44 + 78 wrt v? 60*v**3 Let i(x) = 36*x**2 + 9*x + 8. Let s be i(-1). Find the first derivative of -36 - s + 55*m - 28 + 101 wrt m. 55 Let m(j) be the first derivative of -9*j**5/5 - 77*j**4/4 + 373*j**3 - 6769. What is the third derivative of m(a) wrt a? -216*a - 462 Let x(r) = -r**2 + r. Let u(n) = 8*n**4 - 4*n**3 + 6*n**2 + 10*n. Suppose -4*m = -50 + 30. Let g(l) = m*x(l) + u(l). Find the third derivative of g(v) wrt v. 192*v - 24 Let d(r) = -r**2 + 18*r + 42. Let g be ((-2)/(-5))/(1/50). Let n be d(g). What is the third derivative of -93*j**3 + 3 - 3 + 46*j**n + 124*j**3 wrt j? 186 Let w(n) = -15*n**2 - 54*n + 3557. Let g(i) = 15*i**2 + 47*i - 3555. Let d(k) = 7*g(k) + 6*w(k). Differentiate d(a) wrt a. 30*a + 5 Differentiate 22*s**2 - 17*s**2 - 5*s**2 - 251 + 25 + 33*s**3 with respect to s. 99*s**2 Let g(n) = -9688*n**2 + 18*n - 31. Let v(x) = 6*x**2 - 2*x - 11. Let c(f) = g(f) + 4*v(f). What is the second derivative of c(u) wrt u? -19328 Let h(r) = 2*r**2 + 8*r - 15. Let q be h(5). What is the third derivative of -62*t**3 + 62*t**3 - 61*t**4 - q*t**2 wrt t? -1464*t Let l(n) be the third derivative of -167*n**6/60 + n**5/12 + 4511*n**4/24 + 611*n**2 + 2*n. What is the second derivative of l(m) wrt m? -2004*m + 10 Let z(l) = -19096*l**3 - 7168*l**2 - 20. Let v(r) = -9539*r**3 - 3584*r**2 - 11. Let j(o) = 11*v(o) - 6*z(o). What is the third derivative of j(h) wrt h? 57882 Suppose 0 = -12*m + 14*m - 3*d - 1, m + 3 = 5*d. What is the third derivative of 95*w**2 - 3*w**3 + 25*w**3 + 203*w**2 - 68*w**m wrt w? 132 Let z(u) be the first derivative of -1141*u**4/2 - 4992*u + 2492. Differentiate z(b) wrt b. -6846*b**2 What is the first derivative of -4202*a**3 + 510 - 1582 - 3032 wrt a? -12606*a**2 What is the first derivative of -54*o + 54*o - 1788 + 140*o + 11570*o**2 - 240 - 11567*o**2 + 3*o**4 wrt o? 12*o**3 + 6*o + 140 Let u(j) be the third derivative of 0*j**3 + 0*j**4 + 11/30*j**6 - 173/60*j**5 + 0 + 0*j + 146*j**2. Find the third derivative of u(h) wrt h. 264 Let g = -16 + 22. Let d(c) be the first derivative of 4*c + c**5 - 2*c**5 - 11*c - g*c - 11. Find the first derivative of d(f) wrt f. -20*f**3 Let d(h) = -h**3 + 5*h**2 + 3. Let r be (-4)/(-1) + -2 + (0 - -3). Let p be d(r). Find the third derivative of 163*x**2 + 3 - 200*x**2 - p + x**4 wrt x. 24*x Let v(t) = 18*t**4 + 23. Let g(x) = -500 + 3*x**4 + 6*x**4 + 512. Let u be -5 + 2/(1/(-1)). Let q(l) = u*g(l) + 3*v(l). Differentiate q(r) wrt r. -36*r**3 Let j(b) be the third derivative of -b**6/20 - b**5/20 + 5*b**4/12 + b**3/2 - 9*b**2 + 19*b + 14. Find the second derivative of j(d) wrt d. -36*d - 6 Let u = -38 - -38. Suppose u*a - 4*p - 35 = -5*a, -a - 3*p = 12. What is the first derivative of -17*j**2 + 16 + 8 + a*j**2 wrt j? -28*j Find the second derivative of -201*d**4 - 621*d**4 - 102*d**4 - 198*d**4 + 541*d - 393*d**4 wrt d. -18180*d**2 Suppose 31*d - 35*d = -80. What is the derivative of 11 + 7 - 7 - 61*i**4 + d wrt i? -244*i**3 Differentiate 2261*i**3 + 1828*i**3 - 737 + 13
{ "pile_set_name": "DM Mathematics" }
der. -1/5, 1, 2, 19 Sort -2, -1, 1/10, 0.4 in decreasing order. 0.4, 1/10, -1, -2 Sort 2, -0.052, 3, -2/7 in ascending order. -2/7, -0.052, 2, 3 Put 18, -0.2, 1, 3/8 in decreasing order. 18, 1, 3/8, -0.2 Put 1, -2/7, -1/7, 25 in descending order. 25, 1, -1/7, -2/7 Sort 1/2, -0.03, -1, -2 in descending order. 1/2, -0.03, -1, -2 Put -28/5, 0.2, -2/7, -3/2 in decreasing order. 0.2, -2/7, -3/2, -28/5 Put 0.7, 1/6, -2/3, -1/2 in decreasing order. 0.7, 1/6, -1/2, -2/3 Sort -2, -1/10, 0.2, 5/16, -0.3. -2, -0.3, -1/10, 0.2, 5/16 Sort 1, -5, -61, 4, -3 in decreasing order. 4, 1, -3, -5, -61 Sort 2, -2, 5, 404, -3 in increasing order. -3, -2, 2, 5, 404 Put 4, 5, -9, 326 in decreasing order. 326, 5, 4, -9 Sort -5, -0.4, 3, 16. -5, -0.4, 3, 16 Sort -2, -5, -4, 2, -11 in increasing order. -11, -5, -4, -2, 2 Put 3, 10, 5 in decreasing order. 10, 5, 3 Put 61, -1, -3, 5 in ascending order. -3, -1, 5, 61 Put -24, -1, -8, -0.5 in ascending order. -24, -8, -1, -0.5 Sort -5, 4, 5, -190. -190, -5, 4, 5 Put -1.5, 2/5, -4, 30, -2/11 in increasing order. -4, -1.5, -2/11, 2/5, 30 Put 2, -3, -5 in decreasing order. 2, -3, -5 Sort -0.004, 1, -0.2 in descending order. 1, -0.004, -0.2 Put -153, -3, -4, 5, 4 in ascending order. -153, -4, -3, 4, 5 Sort 3/8, 4, 2, -3 in decreasing order. 4, 2, 3/8, -3 Sort 0, -2, 13, 5 in descending order. 13, 5, 0, -2 Put -3, 3, -2, -46 in increasing order. -46, -3, -2, 3 Sort 0, -2, -3, 34, -8 in descending order. 34, 0, -2, -3, -8 Put -8, -42, -0.2, 1/4 in descending order. 1/4, -0.2, -8, -42 Sort -0.1, 2/223, 0.4, 2/7, 2 in ascending order. -0.1, 2/223, 2/7, 0.4, 2 Sort 50, -5, 4, 10 in ascending order. -5, 4, 10, 50 Put 2, 0, -14, -5, 5 in decreasing order. 5, 2, 0, -5, -14 Sort -2/9, 10, -0.2 in ascending order. -2/9, -0.2, 10 Sort -0.1, -5, 0.5. -5, -0.1, 0.5 Sort 9, -8, 5 in decreasing order. 9, 5, -8 Put -1, -2, -4, 432 in ascending order. -4, -2, -1, 432 Put 0, 65, 0.05, 1 in descending order. 65, 1, 0.05, 0 Sort 2/3, 4, 6, 1, -3. -3, 2/3, 1, 4, 6 Put -5, 0, -2, 4 in ascending order. -5, -2, 0, 4 Sort -7, -1, 4, -2/17, -2/5. -7, -1, -2/5, -2/17, 4 Sort -39, 1/4, 0.09 in descending order. 1/4, 0.09, -39 Sort 16/23, -4, 2/7. -4, 2/7, 16/23 Sort 3, 143, -4. -4, 3, 143 Sort -1, -244, -0.3, -3 in ascending order. -244, -3, -1, -0.3 Sort -7, -1, -231 in decreasing order. -1, -7, -231 Put 4, -2, -1, 3, 11 in increasing order. -2, -1, 3, 4, 11 Sort -2, 2, 127. -2, 2, 127 Sort -0.074, 8, 1/12. -0.074, 1/12, 8 Sort 0.03, -3/5, 5, 1/5 in decreasing order. 5, 1/5, 0.03, -3/5 Sort -0.2, 0.8, 0.2, -1, 0 in descending order. 0.8, 0.2, 0, -0.2, -1 Put 37, 7, 2 in decreasing order. 37, 7, 2 Sort 0, 6, 11, -2 in decreasing order. 11, 6, 0, -2 Put -2/7, -2, -2/43 in decreasing order. -2/43, -2/7, -2 Sort 2, -90, 3, 5 in increasing order. -90, 2, 3, 5 Put 6, 2, -4 in decreasing order. 6, 2, -4 Put 1/6, -7.8, 3.7 in increasing order. -7.8, 1/6, 3.7 Sort 306, -5, -4 in increasing order. -5, -4, 306 Put 0.03, -0.5, 0.2, 47 in descending order. 47, 0.2, 0.03, -0.5 Sort -8, 241, -5 in decreasing order. 241, -5, -8 Sort -590, -0.05, 1/5, -0.3 in ascending order. -590, -0.3, -0.05, 1/5 Put 2/9, -30/13, -5 in increasing order. -5, -30/13, 2/9 Put 0.2, -2/3, 0, -4 in descending order. 0.2, 0, -2/3, -4 Sort 0, -30, 3 in ascending order. -30, 0, 3 Sort 5, -2/7, -3, 36 in decreasing order. 36, 5, -2/7, -3 Sort 0.1, 0.584, -1, -4/7. -1, -4/7, 0.1, 0.584 Put 167, -1.8, 0.2 in ascending order. -1.8, 0.2, 167 Put -3, 0, -95, -1, 29 in increasing order. -95, -3, -1, 0, 29 Put 2, 6, 0, -4 in ascending order. -4, 0, 2, 6 Sort 0, -2, -1, -11, -5 in descending order. 0, -1, -2, -5, -11 Sort -2/7, -16, -87, 1, 0. -87, -16, -2/7, 0, 1 Put 0, -234, 4, 2 in descending order. 4, 2, 0, -234 Put 62, 4, 1, -0.5, 0.1 in descending order. 62, 4, 1, 0.1, -0.5 Sort 3, 0.5, 0.2, 56/23 in descending order. 3, 56/23, 0.5, 0.2 Sort 0.9, -2/19, 2, 0 in descending order. 2, 0.9, 0, -2/19 Sort -6, 10, -4, 2 in decreasing order. 10, 2, -4, -6 Sort 5, 2, -28, -5 in decreasing order. 5, 2, -5, -28 Put -1, -5, 25 in decreasing order. 25, -1, -5 Sort 2, 2/3, 21, 0.09. 0.09, 2/3, 2, 21 Put 2/677, -0.1, 4/5, 0 in descending order. 4/5, 2/677, 0, -0.1 Put -1, 3, 5, 11 in ascending order. -1, 3, 5, 11 Put 1, 8, -1, 19 in decreasing order. 19, 8, 1, -1 Put 5, 3, -4 in increasing order. -4, 3, 5 Sort 5, 3/7, 2, -0.48 in increasing order. -0.48, 3/7, 2, 5 Sort -0.3, 0, 4, -69/4 in increasing order. -69/4, -0.3, 0, 4 Sort -5, 0, 5, -9, 15. -9, -5, 0, 5, 15 Sort 4, -3, -1, 23 in descending order. 23, 4, -1, -3 Put -0.1, -1/3, 1, 0, -13 in decreasing order. 1, 0, -0.1, -1/3, -13 Sort -3, 0.22, 3 in decreasing order. 3, 0.22, -3 Sort 25, -7, 1, 0 in ascending order. -7, 0, 1, 25 Sort 155, -4, 12, 1 in descending order. 155, 12, 1, -4 Sort 24, 4, -3, -22, 3 in descending order. 24, 4, 3, -3, -22 Sort -4/7, -563, -3 in descending order. -4/7, -3, -563 Sort -2, -1, 0.22. -2, -1, 0.22 Put -4, -46, 2, 0 in increasing order. -46, -4, 0, 2 Sort 2/9, 0.3, -0.5, 4. -0.5, 2/9, 0.3, 4 Put -2, 5, 8 in ascending order. -2, 5, 8 Sort -4, -1/4, 0.09, 2. -4, -1/4, 0.09, 2 Sort 3, 11, -13, 0 in decreasing order. 11, 3, 0, -13 Sort 0.3, 2/5, 3, -1.3. -1.3, 0.3, 2/5, 3 Put -2, 22, -50, -4, -5 in decreasing order. 22, -2, -4, -5, -50 Sort 10, 0.14, -5, 5 in decreasing order. 10, 5, 0.14, -5 Sort 15, 1, 1/2, 0.037. 0.037, 1/2, 1, 15 Put 0.1, 42, 5, 4 in decreasing order. 42, 5, 4, 0.1 Sort -0.1, 0.5, -2/3, -1/4 in increasing order. -2/3, -1/4, -0.1, 0.5 Sort 0, 4, -7, -4 in increasing order. -7, -4, 0, 4 Put 16, 3/26, 5 in decreasing order. 16, 5, 3/26 Put -47, -5, 3, 34, -3 in descending order. 34, 3, -3, -5, -47 Sort -0.1, -2/3, 2/3, 4, -2/5 in ascending order. -2/3, -2/5, -0.1, 2/3, 4 Sort 581, 0.3, 0.5, -0.1 in descending order. 581, 0.5, 0.3, -0.1 Sort 195, -3, 3, -4. -4, -3, 3, 195 Put -5, -1, 3, 5 in decreasing order. 5, 3, -1, -5 Put 4, -4, 10, 3 in ascending order. -4, 3, 4, 10 Put 0, 4, 183, 3 in descending order. 183, 4, 3, 0 Put -7, 3, -5, -87 in ascending order. -87, -7, -5, 3 Put 5, 0, 1, -125 in decreasing order. 5, 1, 0, -125 Sort 9, 2, -65 in increasing order. -65, 2, 9 Put 3, -3, -4 in increasing order. -4, -3, 3 Sort -6, 4, 5, -14, 1 in ascending order. -14, -6, 1, 4, 5 Sort 1/2, 3/4, 2012 in ascending order. 1/2, 3/4, 2012 Put -33, -1, 8/5 in increasing order. -33, -1, 8/5 Put 3/5, 1, -2/3, -5 in ascending order. -5, -2/3, 3/5, 1 Put 3, -5, -0.4, 1/2, -1 in descending order. 3, 1/2, -0.4, -1, -5 Sort -5, -60, -1, 1 in decreasing order. 1, -1, -5, -60 Sort -5, 109, 1, -1, -49. -49, -5, -1, 1, 109 Put 1046, 1, -3 in ascending order. -3, 1, 1046 Put -3, 3, 7, 0, -8 in increasing order. -8, -3, 0, 3, 7 Sort 53, -5, 9, 5. -5, 5, 9, 53 Sort -2, 5, 1, 27 in descending order. 27, 5, 1, -2 Sort -654, 0, 5, 1, -5 in descending order. 5, 1, 0, -5, -654 Sort -4, 1, -5, -2, 466 in descending order. 466, 1, -2, -4, -5 Sort -5, -2, 9/4 in descending order. 9/4, -2, -5 Sort -4, -6, -2, -3 in ascending order. -6, -4, -3, -2 Sort 10, -1, 2, -5 in increasing order. -5, -1, 2, 10 Sort 2, 4, -328 in descending order. 4, 2, -328 Put -1, -5, 7, -3, -4 in decreasing order. 7, -1, -3, -4, -5 Put 0.0192, -3, -1/4 in decreasing order. 0.0192, -1/4, -3 Sort -6, -2.6, 2, -0.4, -4 in decreasing order. 2, -0.4, -2.6, -4, -6 Put 2, -2, -117, -1 in decreasing order. 2, -1, -2, -117 Sort -2/3, -0.18, 0.3. -2/3, -0.18, 0.3 Put 0, -3, 32, 3, 4 in decreasing order. 32, 4, 3, 0, -3 Sort 0.4, 0.3, -1/4, 3 in ascending order. -1/4, 0.3, 0.4, 3 Sort 1/6, 35, 0.3, 4 in increasing order. 1/6, 0.3, 4, 35 Sort -1, 4, -10, 23, 5. -10, -1, 4, 5, 23 Sort 23, 1, 5, 2, -3 in ascending order. -3, 1, 2, 5, 23 Put 2, -4, -3, 4, 132 in increasing order. -4, -3, 2, 4, 132 Sort 4, 4/3, -3/26. -3/26, 4/3, 4 Sort -3, -2.2, -2/17, 4 in decreasing order. 4, -2/17, -2.2, -3 Sort 2, 2/9, -1.6, 0.3 in ascending order. -1.6, 2/9, 0.3, 2 Put -1, 0, -14 in descending order. 0, -1, -14 Sort -2, 16, 0, 3 in descending order. 16, 3, 0, -2 Sort 3, 2/13, 0.1, 1.079. 0.1, 2/13, 1.079, 3 Sort 9, -0.4, -1, 2/5 in descending order. 9, 2/5, -0.4, -1 Sort 5, 33, -5, -15 in decreasing order. 33, 5, -5, -15 Sort 33, 1, -81. -81, 1, 33 Put 1, -4, 5, -113 in ascending order. -113,
{ "pile_set_name": "DM Mathematics" }
+ 2*n**4 + 1423*n). -4*n**5 + 10*n**4 Expand (-t + t + 2*t)*(-4*t**3 + 0*t**3 + 3*t**3) + (2*t - 5*t + 0*t)*(t**3 + 4*t**3 + 2*t**3) + 7*t**4 + 8*t - 8*t. -16*t**4 Expand (-248 - 284 + 50)*(-13 + 13 - 3*z**2). 1446*z**2 Expand (-1 + 4*g + 1)*(-2*g + g + 3*g) + 22*g + 3150*g**2 + 4*g - 3154*g**2. 4*g**2 + 26*g Expand (-4*o - 3 - 5*o + 14*o)*(-211 - 13 - 199). -2115*o + 1269 Expand (-109*y**4 - 31*y**4 - 24*y**4)*((0 + 5 - 4)*(2 + 0 - 3) + 0 + 1 - 2 - 2 + 1 + 2 - 6 + 2 + 0). 820*y**4 Expand 81*z - 5*z**5 - 81*z + 0*z**5 + z**5 + 2*z**5 + (3*z + 6*z + 2*z)*(-2*z**4 + 3*z**4 + 0*z**4). 9*z**5 Expand (-2*g + 0*g + 0*g + (2 - 1 + 2)*(2 - 2*g - 2) - 90*g + 275*g + 105*g)*(3 + 1 - 2). 564*g Expand -4515*r**2 + 35*r**4 + 1517*r**5 + 4517*r**2 - 33*r**4 + (-2*r - r**4 + 2*r)*(4*r + 2*r - 4*r). 1515*r**5 + 2*r**4 + 2*r**2 Expand (30 - 7 + 15)*(3*q**2 - 3*q**2 + 5*q**3) - 6*q**3 + 2*q**3 - 4*q**3. 182*q**3 Expand (5 + 1 - 3)*(2*l + 4*l + 13*l)*(12*l + 11*l + 43*l). 3762*l**2 Expand (0 - 2*v + 0)*(18*v - 10 + 10 + (-1 + 0 + 2)*(-6*v - 6*v - v)) + 2*v**2 - v + 0*v**2 - v**2 - v**2 - 3 + 3 + (0*v - 6*v + 4*v)*(2 + v - 2). -12*v**2 - v Expand (12 + 5 - 5)*(-8*z**2 - 8*z**2 - 18*z**2)*(-3 + 3 - z). 408*z**3 Expand ((a + 0*a - 3*a)*(-4*a + a**2 + 4*a) + a - a + a**3 - 4*a**3 + 2*a**3 + 0*a**3)*(-881 + a - 854 + 1768). -3*a**4 - 99*a**3 Expand (a - 4*a + a)*(-2 + 3 - 2)*(5*a - 182*a + 32*a)*(4 - 3 - 3 + (-1 + 0 + 3)*(4 - 2 - 4) - 1 + 0 + 0). 2030*a**2 Expand (-51 - 79 - 69)*(3*u**4 - 3*u**4 + 3*u**4) - 2*u**4 - u**4 + 2*u**4. -598*u**4 Expand (4155 - 2075 - 2080 + 1561*z)*(-2*z**2 + z**2 + 0*z**2). -1561*z**3 Expand (1 + 2 - 2 + (1 + 1 + 0)*(2 + 0 - 1) + 1 - 3 + 3 - 1 + 2 - 3 + 0 - 1 + 0 - 8 - 6 + 8)*(-5029*b**2 + 5029*b**2 + 344*b**3). -1720*b**3 Expand (12 - 43 + 21)*(d**2 - 2*d + 2*d) - 89*d + 89*d + 6*d**2. -4*d**2 Expand (-5*o - 2 + 0 + 4*o)*((5 - 5 + 2*o)*(0 + 0 + o**3) + 5*o**4 - 11*o**4 + o**4 + (-4*o**2 - 2*o**4 + 4*o**2)*(2 - 6 - 3)). -11*o**5 - 22*o**4 Expand (-152 + 154 - 81*y**2 + y - 37*y**2)*(y**2 - 2*y**2 + 2*y**2). -118*y**4 + y**3 + 2*y**2 Expand (-5101 + 5101 + 49*b)*(-6 - 1 + 2)*(4*b - b - b). -490*b**2 Expand (1457*g - 307*g + 1926*g)*(-4*g**2 + 4*g**2 - g**2) - g**3 + 2*g**3 - 4*g**3. -3079*g**3 Expand (10*p - 75 + 75)*(-6*p**2 - 8*p**2 - 69*p**2 + 7*p**2 - 16*p**2). -920*p**3 Expand (3*v**3 - 2*v**3 + 0*v**3)*(2*v + 0*v + v) - 2*v**4 + 4*v**4 + v**4 + 10*v**4 + 13*v**4 - 87 - 22*v**4 + (3*v**3 + 2*v**2 - 2*v**2)*(v - 4*v + 2*v). 4*v**4 - 87 Expand 10 - 331*t - 8 - 89*t - 2*t + t - t + (3*t - 3*t - 2*t)*(-5 + 5 + 2) + 3*t - 6*t - 4*t. -433*t + 2 Expand (10*g**3 - 57*g**3 + 27*g**3)*(4*g - 3*g - 3*g - 3 + 3 + g + (0 - 3 + 4)*(3*g - 5*g + 4*g) + 5*g - 2*g + 2*g)*(-4 + 0 + 3). 120*g**4 Expand (2*k + k - 4*k)*(k**2 + 5*k**2 - 2*k**2)*(11 + k - 11) + (1 + 2*k**2 - 1)*(-2*k**2 + 5*k**2 - 5*k**2). -8*k**4 Expand (-25 + 7 - 25)*(0 + 2 - 4)*(-10 + 10 - 10*p). -860*p Expand (-b - 2*b**2 + b + (-9*b + 7*b - 3*b)*(-1 - 2*b + 1))*(-5*b - 21*b - 4*b). -240*b**3 Expand (-1 + 2*q + 1 + (2*q + 2*q - 6*q)*(-2 + 3 - 2) + 15*q + 14*q + q)*(-3 - q**2 + 3). -34*q**3 Expand -3*d**3 + 4*d**3 + 5*d**3 + (21 - 52*d**2 - 21)*(-18*d + 37 - 37) + 3*d**3 + d**3 - 3*d**3. 943*d**3 Expand (2*a - a - 2*a)*((-a + 4*a - a)*(-6 + 1 + 3) - 4*a - 4*a + 6*a) - 205*a**2 - 375 + 375 - 267*a**2. -466*a**2 Expand (0*s - 5*s + 4*s)*(-3 + 1 + 4)*((-3*s + 3*s + 2*s)*(4 + 1 - 4) + 3 - 3 - s + (-s + 3*s - s)*(3 - 2 - 8)). 12*s**2 Expand (66 + 65 - 143)*(9*k**2 - 4*k**2 - 21*k**2) + 2*k - 2*k - 2*k**2 + (-6*k + 3*k + k)*(-3 + k + 3). 188*k**2 Expand (23 + 16 - 34 - 15*b)*(62*b - 23*b**2 - 62*b). 345*b**3 - 115*b**2 Expand 10*t - 10*t + 218*t**4 + (-2*t**3 - 2*t**4 + 3*t**4 + 5*t**3)*(-4 - 4 + 3). 213*t**4 - 15*t**3 Expand (0 + 3 - 2)*(42*j**2 + 45*j**2 + 678*j**2). 765*j**2 Expand (2*c - 6*c + 5*c)*(c - 4 + 4) - 2*c**2 + 3 - 3 - 2*c**2 + c**2 + 0*c**2 + (-302 - 24*c + 302)*(c + 4*c + 3*c)*(-4 + 1 - 4). 1342*c**2 Expand 3*g**4 + 0*g**4 + 0*g**4 + g**4 + 0*g**4 + g**4 - g**4 + 2*g**3 - 2*g**3 + (2*g + 0 + 0)*(-g**3 - 3 + 3) - 808*g**4 - 54950 + 54950. -806*g**4 Expand (-4*b - 5*b**2 + 4*b)*(-b**3 - 3*b**2 + 3*b**2) - 1588*b**2 + 1588*b**2 + 47*b**5. 52*b**5 Expand (-t**3 - 2*t**2 + 2*t**2)*(212*t**2 - 2 - 183*t**2 + 193*t**2). -222*t**5 + 2*t**3 Expand 2 - 2 - 3*k**5 + 6*k**5 + 0*k**2 - k**2 - k**2 + (-10*k**2 + 5*k - 5*k)*(2*k**3 + 3*k**3 + 0*k**3). -47*k**5 - 2*k**2 Expand -63*f**4 + 17*f**4 - 37*f**4 + ((-f - 3*f + 2*f)*(2 - 4 + 0) - 2*f + 2*f + 2*f)*(2*f**3 - 3*f + 3*f). -71*f**4 Expand (-9*q**2 + 4786*q + 11*q**2 - 4789*q - 52)*(2 - 2 - 3*q**2). -6*q**4 + 9*q**3 + 156*q**2 Expand 6*t + 18 - 32 + 16 + (t + t - 3*t)*(-11 - 4 - 5). 26*t + 2 Expand (-h - 1 + 1)*(2*h + 2*h - 7*h) + 76*h**2 + 9569 - 2*h - 9569. 79*h**2 - 2*h Expand (-41*m**2 - 44*m**2 + 24*m**2)*(-6*m**3 - m**3 + 3*m**3) + 8*m**5 - m**5 - 8*m**5. 243*m**5 Expand (569*d**3 - d + 124*d**3 + 292*d**3)*(1 - 1 - 2). -1970*d**3 + 2*d Expand 9*t**4 - 13 + 13 + (-3*t**3 + 5*t**3 - t**3)*(10 - 10 - t) + (-3*t**2 + 0*t**2 + 4*t**2)*(-65*t**2 + 17*t**2 - 11*t**2). -51*t**4 Expand (5*f**2 - 2*f**2 + 2*f**2)*(10*f - 2*f + 6*f) - 3 - 5*f**3 + 3. 65*f**3 Expand (-5 + 5 + 4*v**2)*(-4 + 1 + 5)*(2 - 3 + 0)*(95 + 104 - 196)*(v - v + 2*v). -48*v**3 Expand 1011244*l + 11759*l**2 - 1011244*l + (l - l + 2*l)*(2*l + l - 2*l). 11761*l**2 Expand (b - 1 + 1)*(-3316 - 3131 + 5686). -761*b Expand (-130 + 98 + 79)*((-15*i**4 - 8*i + 10*i - 3*i)*(2 + 0 - 1) + 3*i - 3*i + 2*i**4). -611*i**4 - 47*i Expand (47*f - 99*f + 50*f)*((-3*f + 6*f - 11*f)*(-1 + 3 - 1)*(0 + 1 - 3) - 2 - f + 2 + (3 + 3 - 4)*(0*f + 3*f - 4*f) + 2*f - 4 + 4). -30*f**2 Expand 9 - 5*l**4 - 9 + (23*l**2 - 2*l**2 + 17636*l - 17646*l + 17*l**2)*(5*l - 5*l - 5*l**2). -195*l**4 + 50*l**3 Expand (629*d + 382420 + 309*d - 382417)*(-2*d**4 - d**4 - d**4). -3752*d**5 - 12*d**4 Expand (b + 4 - 4 + (-b + 0*b - b)*(-1 - 3 + 2) + 2*b - b - 3*b - 5*b + 3*b + 3*b + 5*b - b - 2 - b)*(3*b + b + 0*b + (-3*b - 2*b + 4*b)*(-11 + 15 + 26)). -182*b**2 + 52*b Expand ((1 + i - 1)*(-1 - 3 + 3) + 11*i + 16*i - 16*i)*(-128 + 633 - 213). 2920*i Expand -31*d**4 + 7060*d**3 - 7060*d**3 + (60 - 21*d - 60)*(5 + 2*d**3 - 3*d + 3*d). -73*d**4 - 105*d Expand (3 + 3 - 9)*(3 - u - u - 2)*(-3 + 2 + 2)*(-3 - 1 + 1)*(-112 - 3 + 10). 1890*u - 945 Expand -4*l**4 + 0*l + 0*l + 6*l**4 + 0*l**4 - 3*l**4 + (14 + 4*l**3 - 14)*(-12*l - 4*l - 3*l). -77*l**4 Expand 2*a + 177*a + 4052*a**3 + 2 - 4054*a**3 + a**3 + 2*a**3 - 4*a**3 + (4*a - 2*a**2 - 4*a)*(-2*a + 2*a - 2*a). a**3 + 179*a + 2 Expand (421*r + 1105*r**2 - 1106*r**2 - 1639*r)*(-r**3 + r**2 - r**2). r**5 + 1218*r**4 Expand (427*g - 427*g + 5*g**2 - 4*g**3)*(-15 + 9 + 32). -104*g**3 + 130*g**2 Expand (-3 + 9 + 3)*(-1 + 0 + 2 - 2*n)*(-40*n**3 - 217*n**3 + 81*n**3). 3168*n**4 - 1584*n**3 Expand (2 - 4 + 8 + (2 + 0 - 5)*(-5 - 2 - 1) + 0 + 5 - 3)*(-3*k**4 - 4*k + 9*k**4 + 2*k). 192*k**4 - 64*k Expand (-16 + 19 - 7)*(20*i**3 + 20*i**3 - 38*i**3)*(1 - 3*i - 1)*(1 + 1 - 7). -120*i**4 Expand (189 + 86 + 81)*(-3*i + i + 0*i). -712*i Expand (-8 + 14 - 2*t**2 + t**2)*(15*t**3 - 169*t**2 + 169*t**2). -15*t**5 + 90*t**3 Expand 16*t**3 + 21*t**3 + 34*t - 32*t**3 - t**3 + 0*t**3 + 2*t**3 + (5*t**2 - 2 + 2)*(t - t + t). 11*t**3 + 34*t Expand (-6 + 7*a - 5 + 9)*(1520*a**2 - 805*a**2 + 476*a**2). 8337*a**3 - 2382*a**2 Expand (6 + 10 + 21)*(-3*b - 4*b + 5*b + (0*b - b - b)*(3 - 4 - 1)) + (-3*b + 2*b + 4*b)*(3 - 5 - 1). 65*b Expand (-2 - 5 - 1)*(-6*s**2 + 27*s**2 + 32*s**2) + (s + 2*s - 5*s)*(0*s - 3*s + 0*s). -418*s**2 Expand ((-m + m - 3*m)*(2*m - m + m) + 4 + 2*m**2 - 4 + (45 - 31 + 35)*(-4*m**2 - 1 + 1))*(-4 + 1 + 8). -1000*m**2 Expand (-2*g**2 + 5*g**2 + g**2)*(5*g - 4*g + 4*g) + (114*g**2 - 8*g**2 + 167*g**2)*(-4*g + 0*g + 2*g) + 5*g**2 - 2*g**3 - g**2 - 3*g**2. -528*g**3 + g**2 Expand (-2 - 2*m + 2)*(-122 - 1 - 101)*(13 + 2 + 2) - 2*m + 5*m - 2*m + (3*m - m - m)*(4 - 3 + 1). 7619*m Expand (-665*h**2 + 303*h**2 + 309*h**2 + (2*h - 3*h + 3*h)*(3*h - 4*h + 0*h))*(-12*h + 4*h**3 + 12*h). -220*h**5 Expand (x**2 + 387741187 - 387741187 - 55*x - 425*x)*(-4 + 0 + 3). -x**2 + 480*x Expand 213097*t**2 + 24*t**5 - 213097*t**2 + (7*t - 7*t - 3*t**3)*(-t**2 + 0*t**2 - t**2) - t**5 + 2*t**5 + t**5. 32
{ "pile_set_name": "DM Mathematics" }
y(o) = 2*o. Let f(p) be the third derivative of -11*p**4/8 - 272*p**2. Determine f(y(j)). -66*j Let b(w) = -14 + 5*w**2 + 14. Let f(h) = 3*h. Let n(o) = 2*o - 5. Let p(x) = 21*x - 49. Let z(d) = 49*n(d) - 5*p(d). Let t(v) = 6*f(v) + 3*z(v). Give t(b(k)). -15*k**2 Let o(a) be the second derivative of -91*a**3/6 + 54*a. Let t(y) = -y**2. Calculate o(t(m)). 91*m**2 Let c(l) = 2*l - 2. Let u = 9 + -14. Let x(w) = 3*w - 5. Let f(h) = u*c(h) + 2*x(h). Let m(o) = 7 - 7 - o**2. Determine f(m(q)). 4*q**2 Let y(j) be the third derivative of -j**4/12 - 49*j**2 + j. Let n(l) = -72*l**2 + 2. Calculate n(y(f)). -288*f**2 + 2 Let x(v) = -v**2. Let i(f) be the second derivative of -7*f**3/6 + 3*f**2/2 - 218*f. Give x(i(l)). -49*l**2 + 42*l - 9 Let y(s) = 6*s. Let c(t) = 17*t - 16*t**2 - t**2 - 17*t. What is y(c(k))? -102*k**2 Let f(g) = -2*g**2. Let i(b) = -36*b + 65*b - 1 - 27*b - 22*b. Let m(y) = y - 1. Let a(l) = -i(l) + m(l). Determine a(f(d)). -42*d**2 Let j(z) = z. Let a(o) = 4*o - 2. Let f(r) = -3*r - 1 + 6 + 0 - 2. Suppose 0 = -3*v - q + 4*q, -4*v = -5*q + 2. Let g(b) = v*f(b) + 3*a(b). Calculate g(j(n)). 6*n Let j(m) = 7*m. Let n(v) = -35*v**2 - 2*v + 2. Let a(u) = -9801*u**2 - 561*u + 561. Let l(i) = 6*a(i) - 1683*n(i). Determine j(l(t)). 693*t**2 Let b(r) = -3*r**2 - 6*r**2 + 0*r**2. Suppose -c - 2*f + 9 = -4*f, 3*c - f - 12 = 0. Let w(s) = c*s**2 - 18*s**2 + 4*s**2 + 9*s**2. What is b(w(d))? -36*d**4 Let i(y) = -2*y**2. Let n(f) be the third derivative of f**7/336 - 3*f**5/20 + 7*f**2. Let a(r) be the third derivative of n(r). Determine a(i(h)). -30*h**2 Let v(p) = -p. Let m(n) be the third derivative of -5*n**8/2016 + n**5/20 + 7*n**3/6 + n**2 + n. Let t(i) be the third derivative of m(i). Determine v(t(s)). 50*s**2 Let b(f) be the first derivative of 3 - 8 + 3 - 13*f**2. Let u(z) = z. Determine b(u(h)). -26*h Let h(j) = 4*j. Let i(p) = 18826*p. Calculate h(i(v)). 75304*v Let i(t) = t**2 - 4*t. Let s(h) = 3*h**2 - 15*h. Suppose -5*b - 15 = 0, d + 11 = 3*d - b. Let y(r) = d*s(r) - 15*i(r). Let k(u) = -3*u**2. What is k(y(a))? -27*a**4 Let k(z) = -275519*z**2. Let j(h) = -10*h. Give j(k(s)). 2755190*s**2 Let h(u) = -1 + u + 1. Suppose 0 = f - 2*o - 44, -4*f - o + 176 = f. Let s(p) = -63*p**2 + 33*p**2 + f*p**2. Determine h(s(x)). 6*x**2 Let t(p) = -216*p. Let w(k) = -48*k**2. Calculate t(w(m)). 10368*m**2 Let c(z) = -6*z**2. Let r = 7 - 5. Let m(b) = -5*b + 7*b - 2*b + 2*b**r. Calculate m(c(t)). 72*t**4 Let v = 149 - 149. Let l(i) be the third derivative of 0 + v*i**3 + 0*i - 1/24*i**4 - 3*i**2. Let j(w) = -2*w. What is j(l(u))? 2*u Let r(b) = 18*b**2 - 9*b + 45. Let p(n) = 9*n**2 - 4*n + 20. Let a(l) = -9*p(l) + 4*r(l). Let y(t) = -6*t**2 + 2*t. What is y(a(i))? -486*i**4 - 18*i**2 Let y(o) = 2*o**2. Suppose 118*d + 360 = 114*d. Let b(c) = 21*c + 18. Let g(w) = -w - 1. Let i(j) = d*g(j) - 5*b(j). Determine i(y(v)). -30*v**2 Let p(v) = -36 + 30 + 6 + 597*v. Let j(y) = -y**2. Give p(j(b)). -597*b**2 Let j(d) = -3*d**2. Let v(m) = -3*m - 72484. Determine v(j(t)). 9*t**2 - 72484 Let o(u) = -8*u. Let f(s) be the second derivative of -3*s + 0*s**2 + 0 - 1/6*s**3. Let r(n) = -3*f(n) + o(n). Let g(b) = 4*b. Calculate r(g(m)). -20*m Let p(l) = -144*l - 6. Let r(i) = -2*i**2. Give r(p(q)). -41472*q**2 - 3456*q - 72 Let h(q) = 10 - 42 - 440*q + 18 + 14. Let i(k) = 2*k**2. What is h(i(y))? -880*y**2 Let q(l) = -24*l. Let n(u) = 1056*u + 4. Give n(q(a)). -25344*a + 4 Suppose 0 = -y - 0*y. Suppose y = -3*p - 3 + 9. Let g(s) = -4*s - p*s + 3*s. Let v(h) = 6*h. Give g(v(m)). -18*m Let o(s) = 262071*s - 1. Let n(u) = u**2. Determine o(n(i)). 262071*i**2 - 1 Let i(r) = -2656*r**2. Let g(s) = -9*s**2. What is i(g(m))? -215136*m**4 Let q(z) = -49*z + 2. Let d(i) = 9*i - 7. Determine q(d(c)). -441*c + 345 Let d = 1 - 1. Suppose d*f - f - 178 = 5*s, -28 = s + 4*f. Let h(g) = 1. Let n(k) = 6*k**2 + 36. Let q(z) = s*h(z) + n(z). Let t(p) = p. What is t(q(w))? 6*w**2 Let o(b) = -1 - 29*b**2 + 20*b**2 + 1. Let k(i) = 3*i - 2*i - 2*i - 7*i + 2*i. Give o(k(x)). -324*x**2 Let g(i) = 4*i. Let n(l) be the second derivative of l**6/45 - 5*l**3/2 + 7*l. Let c(d) be the second derivative of n(d). Give g(c(h)). 32*h**2 Let p(f) be the second derivative of f**3/3 + f. Suppose r - 8 = -u, 5*r = 4*u + 4 - 0. Let k(a) = 5*a + r*a + 0*a - 12*a. Calculate k(p(d)). -6*d Let n(v) = -7*v - 109. Let l(m) = 10*m**2. Give n(l(h)). -70*h**2 - 109 Let s(f) = f**2. Let m be 5 - 9/(-3) - -3. Let x(z) = -2 - 8*z**2 + m*z**2 + 2. Give s(x(q)). 9*q**4 Let y(x) be the first derivative of -31*x**2/2 - 71. Let n(k) = k**2 + 6*k - 6. Let m(z) = 3*z**2 + 17*z - 17. Let r(q) = 6*m(q) - 17*n(q). Give r(y(a)). 961*a**2 Let d(b) = -8*b - 6*b - b. Let v(g) be the second derivative of 1/6*g**4 + 0*g**3 + 0*g**2 + 47*g + 0. What is d(v(z))? -30*z**2 Let n(c) be the second derivative of -c**3/3 + 6*c - 31. Let u(k) = 2*k + 5*k - 6*k. Determine n(u(a)). -2*a Let q(z) = -5*z. Let j(f) = -72*f**2 + 114 - 114. Determine q(j(r)). 360*r**2 Let j(i) = -15*i - 2 + 2. Let w(q) = q**2 - 48*q + 6. Let s(l) = 2*l**2 - 104*l + 13. Let h(t) = 6*s(t) - 13*w(t). What is h(j(z))? -225*z**2 Let c(a) = -a. Let v(k) = 225141*k**2. Determine v(c(w)). 225141*w**2 Let z(w) = -w + 7. Let r(m) be the third derivative of -m**5/60 + m**2 - 16. Calculate z(r(n)). n**2 + 7 Let h(x) = -x**2 - 7*x. Let b(w) = -20*w + 8. Let m(j) = -14*j + 5. Let c(z) = 5*b(z) - 8*m(z). Give c(h(u)). -12*u**2 - 84*u Let d = -15 + 19. Let k(x) = -5*x**2 - 11*x**2 + d*x**2 - 4*x**2. Let h(f) = f**2. Determine k(h(w)). -16*w**4 Let n(y) = y. Let h(i) = 28*i + 25. Let q(s) = 76*s + 74. Let a(r) = 11*h(r) - 4*q(r). Determine a(n(f)). 4*f - 21 Let r(o) = 1607*o + o**2 - 1607*o. Let z(h) = h. What is z(r(u))? u**2 Let r(w) be the second derivative of w**5/20 - w**4/3 + w**3/3 - 5*w**2/2 - 5*w. Let v be r(4). Let s(b) = 5*b - b - v*b. Let g(t) = -2*t. What is g(s(m))? -2*m Let n(a) = -17*a + 2*a - 7*a + 30*a. Let r(v) = 33*v**2. Calculate n(r(w)). 264*w**2 Let b(k) = -k**2 + k + 121. Let x be b(11). Let f(l) be the first derivative of 0*l**2 + x + 0*l + 1/3*l**3. Let p(v) = 11*v. Give p(f(h)). 11*h**2 Let b(v) be the third derivative of -27*v**4/8 + 3172*v**2. Let d(i) = -8*i**2 + 6. Let t(x) = -9*x**2 + 7. Let j(l) = 7*d(l) - 6*t(l). Calculate b(j(m)). 162*m**2 Let c(j) = -4*j**2. Let g(l) be the second derivative of l**4/12 - 2*l**2 - 33*l - 1. What is c(g(d))? -4*d**4 + 32*d**2 - 64 Let j(t) = -6*t**2 + 8*t - 4. Let z(o) = 10*o**2 - 14*o + 7. Let c(x) = 7*j(x) + 4*z(x). Let r(h) = -296*h. Calculate c(r(b)). -175232*b**2 Let x(p) = -2*p. Let g(h) = -h + 534*h**2 - 2*h - 2*h - 550*h**2 + 2*h. Give g(x(d)). -64*d**2 + 6*d Let n(h) = -23*h**2 + 6*h**2 + 7*h**2 + 12*h**2. Let s(a) be the first derivative of -8*a**3/3 - 2. What is n(s(x))? 128*x**4 Let b(z) = 57*z + 15. Let j(g) = -29*g - 6. Let i(q) = -2*b(q) - 5*j(q). Let c(l) = 5*l**2. Determine i(c(u)). 155*u**2 Let g(n) = -6*n**2. Let q(r) = 18*r**2. Let a(t) = -10*g(t) - 3*q(t). Let u(d) = 12*d. Give u(a(c)). 72*c**2 Let o(c) = -3*c. Let k be 1*(-3)/(-12)*4. Let f be (-39)/(-12) + k/(-4). Let p(i) = -4 - f*i - 1 + 5. Calculate p(o(w)). 9*w Let j(i) = -39*i. Let h(g) = 0 - 3 - 81*g + 3 + 70*g. What is h(j(p))? 429*p Let m(k) be the first derivative of -8*k**2 + 44. Let q(l) be the first derivative of l**2 + 2. Give m(q(u)). -32*u Let h(q) = 2*q - 3 + 3. Let u(n) be the second derivative of n**4/12 + 2*n**3/3 - 2*n**2 - 3*n. Let v(s) = -s + 1. Let z(p) = -u(p) - 4*v(p). Give h(z(a)). -2*a**2 Let s(i) = -29*i + 260 + 17*i - 260. Let n(l) = 19*l**2. Give s(n(v)). -228*v**2 Let d(c) = -3*c. Let w(t) = -3*t + 4. Let m(p) = 4*p - 5. Let y(v) = 4*m(v) + 5*w(v). Let i(l) = -2*d(l) - 7*y(l). Let n(q) = -2*q. Give n(i(o)). 2*o Let c(g) = -414*g**2. Let b(a) = -a + 4. Let j(q) = -6*q + 26. Let k(t) = -26*b(t) + 4*j(t). Give c(k(o)). -1656*o**2 Let w(d) = -d. Let x(u) = 5*u. Let s(n) = 9*w(n) + 2*x(n). Let c(z) = -1893 + 1893 + 7*z + z. What is c(s(j))? 8*j Let c(d) = d**2 - d**2 + d**2. Let x(w) = 11*w - 6. Let p(r) = 23*r - 13. Suppose 5*m - 19 = 11. Let l(n) = m*p(n) - 13*x(n). Determine l(c(a)). -5*a**2 Let w(p) = 77*p - 45*p + 51 + 18 + 8 - 30*p. Let f(x) = 3*x**2. Determine f(w(a)). 12*a**2 + 924*a + 17787 Let b(u) =
{ "pile_set_name": "DM Mathematics" }
s picked without replacement from {q: 3, a: 1, s: 1, w: 1, m: 1}? 1/35 Calculate prob of picking 2 k when two letters picked without replacement from {u: 1, c: 1, k: 3}. 3/10 Four letters picked without replacement from {o: 4}. Give prob of picking 4 o. 1 What is prob of picking 4 p when four letters picked without replacement from {k: 6, p: 7, o: 6}? 35/3876 Four letters picked without replacement from {e: 1, k: 2, r: 2}. Give prob of picking 4 r. 0 Three letters picked without replacement from vvxvvzevzwvvvjj. Give prob of picking 1 v and 2 w. 0 Two letters picked without replacement from {n: 1, s: 3, i: 1, c: 1, k: 1}. Give prob of picking 1 k and 1 s. 1/7 What is prob of picking 1 e, 1 c, and 2 y when four letters picked without replacement from cexxyycxxxcyxc? 12/1001 What is prob of picking 1 i and 1 m when two letters picked without replacement from {y: 1, l: 1, i: 2, m: 1, q: 2, g: 1}? 1/14 Two letters picked without replacement from {p: 4, s: 6}. What is prob of picking 2 p? 2/15 Two letters picked without replacement from fydffnfpf. Give prob of picking 1 f and 1 n. 5/36 Two letters picked without replacement from luuuuuul. Give prob of picking 2 l. 1/28 What is prob of picking 1 p, 1 v, and 2 r when four letters picked without replacement from gppvprpvr? 4/63 Three letters picked without replacement from piiiiiiiiipipiuii. What is prob of picking 3 i? 143/340 What is prob of picking 2 l and 1 z when three letters picked without replacement from nnlzl? 1/10 What is prob of picking 1 c and 3 o when four letters picked without replacement from cxccxxxxooocoxxooo? 7/153 What is prob of picking 1 o and 1 n when two letters picked without replacement from ooooononnon? 28/55 Calculate prob of picking 2 r and 1 i when three letters picked without replacement from {b: 1, t: 3, r: 4, i: 2}. 1/10 What is prob of picking 1 z and 1 y when two letters picked without replacement from {z: 1, a: 4, i: 1, t: 9, y: 2}? 1/68 Calculate prob of picking 4 d when four letters picked without replacement from {d: 4, v: 15}. 1/3876 Two letters picked without replacement from xxxxxxxxx. Give prob of picking 2 x. 1 Four letters picked without replacement from wdvvkvvwvkwv. Give prob of picking 2 v and 2 w. 1/11 Calculate prob of picking 1 z and 1 x when two letters picked without replacement from {x: 2, r: 5, o: 2, z: 2, l: 1, j: 2}. 4/91 Two letters picked without replacement from {b: 1, r: 2, w: 6, x: 3, t: 1}. Give prob of picking 1 w and 1 r. 2/13 Four letters picked without replacement from hffcqgghgoqf. Give prob of picking 2 f, 1 o, and 1 q. 2/165 Three letters picked without replacement from tetqneeneqqnqttnnetq. What is prob of picking 2 e and 1 t? 5/114 What is prob of picking 1 s and 2 p when three letters picked without replacement from pppsppsp? 15/28 Calculate prob of picking 4 t when four letters picked without replacement from ssststssttsttt. 5/143 What is prob of picking 4 h when four letters picked without replacement from {h: 7}? 1 Calculate prob of picking 1 a and 1 c when two letters picked without replacement from ajjjacjjjjjnj. 1/39 Four letters picked without replacement from mlwmwytt. What is prob of picking 1 t, 1 m, 1 y, and 1 w? 4/35 Two letters picked without replacement from fhahhhhhhahhfhh. What is prob of picking 1 a and 1 f? 4/105 Three letters picked without replacement from cumkl. What is prob of picking 1 c, 1 m, and 1 k? 1/10 What is prob of picking 2 n and 2 s when four letters picked without replacement from snnss? 3/5 Four letters picked without replacement from {j: 2, b: 1, r: 4}. Give prob of picking 1 j, 1 b, and 2 r. 12/35 Four letters picked without replacement from {t: 3, l: 5}. What is prob of picking 3 t and 1 l? 1/14 Two letters picked without replacement from {i: 2, b: 2, c: 2, l: 1, h: 1}. Give prob of picking 1 i and 1 l. 1/14 Three letters picked without replacement from {z: 8, p: 5, b: 3}. Give prob of picking 3 b. 1/560 What is prob of picking 3 z when three letters picked without replacement from lzjljlzzllj? 1/165 Calculate prob of picking 2 o when two letters picked without replacement from oppopoooopoopoooop. 22/51 Two letters picked without replacement from kekee. What is prob of picking 2 e? 3/10 What is prob of picking 4 v when four letters picked without replacement from yvyyyyyayvvzavvzvyy? 5/1292 What is prob of picking 2 i when two letters picked without replacement from dqcdddiqidfcii? 6/91 What is prob of picking 2 y and 2 o when four letters picked without replacement from oyjyop? 1/15 Four letters picked without replacement from {y: 1, n: 11}. What is prob of picking 4 n? 2/3 Calculate prob of picking 2 o and 1 v when three letters picked without replacement from {v: 3, o: 5, p: 2, j: 5}. 6/91 What is prob of picking 3 g and 1 m when four letters picked without replacement from mgmmmmmmmmmmgmggmmgm? 10/323 Two letters picked without replacement from ykrqxqqkrqkfykk. Give prob of picking 2 q. 2/35 Two letters picked without replacement from llqlqlvqvqqvqvqq. Give prob of picking 1 v and 1 l. 2/15 What is prob of picking 1 g, 1 j, 1 f, and 1 t when four letters picked without replacement from {y: 2, j: 1, g: 1, i: 1, t: 1, f: 1}? 1/35 What is prob of picking 4 l when four letters picked without replacement from eeeeeeeellleeleeee? 1/3060 What is prob of picking 2 y and 1 r when three letters picked without replacement from ryooyyooxroygoyoog? 5/204 Three letters picked without replacement from {p: 3, m: 4, s: 2}. What is prob of picking 2 m and 1 s? 1/7 What is prob of picking 2 k, 1 j, and 1 e when four letters picked without replacement from ekjjkhkekhe? 6/55 What is prob of picking 1 m and 1 f when two letters picked without replacement from flllfflflllllfum? 1/24 Four letters picked without replacement from {z: 10}. Give prob of picking 4 z. 1 What is prob of picking 1 n, 1 y, and 1 k when three letters picked without replacement from {h: 1, w: 1, y: 1, n: 2, k: 2, i: 1}? 1/14 Three letters picked without replacement from wrzwrrzw. Give prob of picking 1 r, 1 z, and 1 w. 9/28 What is prob of picking 1 l, 1 j, and 1 r when three letters picked without replacement from {l: 3, r: 2, j: 4, o: 1, b: 1, h: 1}? 6/55 What is prob of picking 1 s, 1 r, 1 k, and 1 g when four letters picked without replacement from zsgcrrk? 2/35 Four letters picked without replacement from {t: 2, d: 4, c: 3, b: 1}. What is prob of picking 3 c and 1 d? 2/105 Three letters picked without replacement from yyyyyttyoy. What is prob of picking 1 y and 2 t? 7/120 What is prob of picking 2 c when two letters picked without replacement from ccccccc? 1 Three letters picked without replacement from {n: 5, q: 2, r: 5}. Give prob of picking 1 q, 1 r, and 1 n. 5/22 Two letters picked without replacement from wwniwiiiiwiwiw. Give prob of picking 1 w and 1 n. 6/91 Two letters picked without replacement from pppeeepuuepuduupuep. Give prob of picking 2 e. 10/171 Two letters picked without replacement from dwlzllzwvdlzzllldzl. What is prob of picking 1 d and 1 l? 8/57 Three letters picked without replacement from {a: 2, c: 10}. Give prob of picking 3 c. 6/11 Three letters picked without replacement from {q: 1, r: 6, o: 1, n: 1}. Give prob of picking 1 o and 2 r. 5/28 Three letters picked without replacement from {v: 15, z: 5}. Give prob of picking 3 z. 1/114 Calculate prob of picking 1 q and 1 w when two letters picked without replacement from lqqqqqllqwwlqlllllz. 14/171 Two letters picked without replacement from {y: 2, o: 4}. What is prob of picking 1 y and 1 o? 8/15 Four letters picked without replacement from fflfllllffmff. What is prob of picking 1 m and 3 f? 7/143 Two letters picked without replacement from lllllvvlllvllllvllll. Give prob of picking 1 v and 1 l. 32/95 Calculate prob of picking 1 w, 1 t, and 2 d when four letters picked without replacement from hwdwhttdhwh. 1/55 Three letters picked without replacement from tttthhtttththhtt. What is prob of picking 2 h and 1 t? 11/56 Two letters picked without replacement from {c: 2, g: 1}. What is prob of picking 2 c? 1/3 What is prob of picking 2 r when two letters picked without replacement from rrr? 1 Three letters picked without replacement from {x: 1, p: 6, y: 2, r: 1, i
{ "pile_set_name": "DM Mathematics" }
ut 0.3 * -283. -84.9 What is 397 times -3? -1191 Work out 4.3 * -9.9. -42.57 Calculate 0.096*3. 0.288 0.5*2682 1341 Work out -0.4 * 0.0167. -0.00668 -0.029*5 -0.145 What is 1.3 times 61? 79.3 Product of -3 and -0.02. 0.06 17218*0.1 1721.8 Product of 0.2 and -0.231. -0.0462 Work out -20999 * 0.4. -8399.6 What is 135.9 times 0? 0 Calculate -0.16*5.1. -0.816 -894.4 * -2 1788.8 Work out 137.5 * -0.3. -41.25 Work out 2 * -396. -792 Work out -0.5 * -0.019. 0.0095 What is -1.39 times -4? 5.56 Calculate -1251*2. -2502 -0.5 times 195.4 -97.7 36.808 times -0.4 -14.7232 What is the product of -4 and 0.205? -0.82 9 * 1.47 13.23 -0.79 * 95 -75.05 What is -2.2 times -528? 1161.6 376 times 0 0 Calculate -13*-4. 52 What is the product of 50 and 1.75? 87.5 Calculate -0.19*-308. 58.52 What is 28.92 times 6? 173.52 277*-0.25 -69.25 What is the product of -33 and 0.13? -4.29 -2.9 * 0.45 -1.305 -78*1.5 -117 Multiply 108 and 3. 324 Calculate -392*1. -392 4 times 3 12 What is the product of 0.04 and -0.0334? -0.001336 What is the product of -0.5 and 1.319? -0.6595 Calculate -3.2*0.14. -0.448 Product of 0.97 and 5. 4.85 Calculate 162*-4. -648 -4*27 -108 What is -2.59 times -0.6? 1.554 Calculate 3*-41. -123 Calculate 0.4*31.27. 12.508 Calculate -61*5. -305 Multiply -0.5 and 80. -40 -256 times -0.4 102.4 Multiply 1.023 and -5. -5.115 -620 * 0.2 -124 What is the product of 0.4 and -1267? -506.8 Calculate -744.1*0.2. -148.82 Multiply 103.8 and 0.13. 13.494 -2471 * 4 -9884 Multiply -111 and 5. -555 Multiply -7 and -0.36. 2.52 3 times 1.02 3.06 What is 0.3 times 0.16? 0.048 What is 1 times -0.006? -0.006 Calculate -0.05*0.6. -0.03 Work out 0.01 * 6. 0.06 Product of 113 and 47. 5311 0.2*427 85.4 What is the product of -482 and 13? -6266 Product of 5 and 6852. 34260 What is the product of 0.132 and 6? 0.792 What is 12.3 times 15? 184.5 0.84 times 0 0 What is -0.33 times -39? 12.87 0.7*-0.27 -0.189 -2*46 -92 Calculate -3385*0. 0 Product of -9 and -48. 432 Multiply 0.038 and -2. -0.076 Work out 198.5 * -0.1. -19.85 26.7 * -0.3 -8.01 -4225 times -5 21125 Multiply 1 and 122. 122 Work out -4 * -69. 276 -1.15 * 0.3 -0.345 Multiply -55 and 0.2. -11 Calculate -213*0.1. -21.3 Product of -4 and -1069. 4276 Multiply -0.3 and 9223. -2766.9 Work out -8 * -10. 80 5 times 83 415 Product of -40.9 and -0.5. 20.45 What is -0.37 times 0.54? -0.1998 583*-0.13 -75.79 -0.2574*1 -0.2574 What is 0.0499 times 0.4? 0.01996 Calculate 0.007*-77. -0.539 0.5 * 78 39 Product of 0.1113 and 0.2. 0.02226 -0.748 * 3 -2.244 3151*-5 -15755 Product of -2 and -3124. 6248 Calculate -294*-0.3. 88.2 Calculate 11*3.4. 37.4 1683 times -0.3 -504.9 What is -5.7 times -14? 79.8 Multiply 1 and 0.045. 0.045 Product of -2.076 and -2. 4.152 Work out 3 * -1.68. -5.04 64.3 times -5 -321.5 Multiply 2.97 and -4. -11.88 Product of -226 and 0. 0 Multiply 277 and -11. -3047 15.8 times 5 79 What is -3 times 1042? -3126 519 * 0.4 207.6 1*95 95 18.6 * 22 409.2 -0.4*-178 71.2 What is the product of -0.5 and 4? -2 Product of 173 and -12. -2076 What is the product of -5.88 and -4? 23.52 Product of -0.0418 and 5. -0.209 What is the product of -2.59 and 0.1? -0.259 -41 times 109 -4469 Multiply -175 and -4. 700 -1.56*3 -4.68 Calculate 0.031*1.8. 0.0558 Calculate 2*537. 1074 What is the product of 394 and -0.3? -118.2 0.26 * -0.13 -0.0338 What is 379 times -0.3? -113.7 Product of -203 and 0.024. -4.872 Multiply -4 and 342. -1368 Calculate -401*4. -1604 Calculate 1.5*-1.5. -2.25 Calculate 3*-5. -15 Product of -1 and 60.6. -60.6 -26 * -0.3 7.8 -0.01 * 869 -8.69 Multiply 4 and 140. 560 What is -152 times 4? -608 What is -0.4 times -0.028? 0.0112 What is the product of -14 and -0.0593? 0.8302 Calculate 0.076*-6. -0.456 -0.039 times 1.6 -0.0624 Product of -181 and 8. -1448 What is -4 times -823? 3292 Multiply 0 and -194. 0 Multiply -5 and 173.7. -868.5 Product of 0.3 and 166. 49.8 20*-37 -740 -0.022 times 70 -1.54 4*-110 -440 What is 0.3 times -20.3? -6.09 0.03 times 0.0813 0.002439 0.2 times -166 -33.2 Calculate -0.372*-0.4. 0.1488 4 * -210 -840 6 * -0.059 -0.354 Calculate -36*192. -6912 258 times 1 258 Multiply -0.019 and -1. 0.019 48 times 310 14880 -0.434 * -0.5 0.217 -0.4 times 101 -40.4 Multiply 1 and 0.2. 0.2 0.1347*2 0.2694 0.51 times 3 1.53 0.0528 times 0.5 0.0264 Product of -0.37 and 0.2. -0.074 What is the product of 0.1 and 68.1? 6.81 What is -0.4 times 233? -93.2 -3.53*1.9 -6.707 What is -5 times 1720? -8600 Work out 0.4 * 19.4. 7.76 Calculate -0.3*-15.9. 4.77 -0.4*0.22 -0.088 What is the product of -22 and -662? 14564 0.3 times -0.139 -0.0417 Work out 0.06 * -853. -51.18 Calculate 79*-9. -711 Product of 0.1 and 0.03805. 0.003805 What is -731 times -2? 1462 39 * 0.065 2.535 501 * -6 -3006 Multiply 1.5 and 0.03. 0.045 Product of 7 and -14. -98 -0.225 * 1.9 -0.4275 Calculate -0.3335*4. -1.334 What is -195 times -0.051? 9.945 Calculate -1603*-0.4. 641.2 Calculate 63*3. 189 0.58 times 0.34 0.1972 0.908 times 0 0 What is -4 times 0.06? -0.24 Calculate -4.5*-0.6. 2.7 -0.5*7544 -3772 Work out -1.28 * 0.1. -0.128 What is 0 times 0.036? 0 What is -66 times -24? 1584 Calculate 1*68. 68 -0.3 times 563.1 -168.93 666*0.14 93.24 What is 3 times 0.34? 1.02 -0.5*3.02 -1.51 Multiply 0.05265 and -5. -0.26325 2*1121 2242 0.06 * -0.4 -0.024 What is the product of 0.1 and -652? -65.2 What is the product of -0.5 and 439? -219.5 What is 120.7 times -0.04? -4.828 Calculate -0.4*0.78. -0.312 Product of -2327 and 3. -6981 Product of 0.0314 and 0.2. 0.00628 Calculate 48*3. 144 What is the product of 14.1 and -0.1? -1.41 Work out 4 * -0.0349. -0.1396 Multiply 2 and 1780. 3560 Multiply 0.05 and 0.23. 0.0115 0.5 * -1.752 -0.876 Work out -9 * -10. 90 Work out -2 * 62. -124 What is the product of 102 and -4? -408 Product of 5 and 0.1. 0.5 Calculate 0.16*19.2. 3.072 What is the product of -5 and 14? -70 9 * -3 -27 -30 * 81 -2430 Calculate -0.25*-9.7. 2.425 What is the product of -0.04 and 70? -2.8 -0.1 times -10.9 1.09 Calculate -112*5. -560 Work out -1.8 * -0.28. 0.504 What is the product of 2 and 0.1? 0.2 What is -0.2 times 0.297? -0.0594 Work out -24.2 * 6. -145.2 What is the product of -4.7 and -0.2? 0.94 Work out 1750 * -5. -8750 Product of -0.097 and 7. -0.679 Calculate -4*41. -164 -0.922 times -0.13 0.11986 Multiply 96 and -4. -384 2.048 * 0 0 0.3 times -224 -67.2 0.5 * 0.084 0.042 Work out 0.04 * -347. -13.88 2 * 361 722 What is the product of -0.01 and -32? 0.32 Calculate 0.4*-115.2. -46.08 Product of -0.09624 and 0.3. -0.028872 -1 * -0.5 0.5 Multiply -11 and -0.34. 3.74 -100 * -2.4 240 Multiply -0.1 and 578. -57.8 Multiply -0.119 and -0.08. 0.00952 Multiply -2 and -10. 20 -3.1*-0.496 1.5376 7 * 2.1 14.7 -0.2*3 -0.6 What is -0.06 times 240? -14.4 Multiply 0.3 and 0.43. 0.129 5526 times 0.4 2210.4 1003.2 times -2 -2006.4 0.2 * 161 32.2 Product of 0.3 and -595. -178.5 Work out -0.54 * 0.0433. -0.023382 Calculate -588*-4.9. 2881.2 Product of -0.11 and -0.3065. 0.033715 Multiply -2 and 2.393. -4.786 -4 times 414 -1656 Calculate -0.4*-5.1. 2.04 Product of -69 and -4. 276 Product of 16 and 0.0426. 0.6816 -4 * 62.9 -251.6 Calculate -0.48*-44. 21.12 Multiply -173 and 2. -346 Product of 0.1 and 0.54. 0.054 5 times 53.6 268 What is 66 times 0.6? 39.6 -2 times 0.041 -0.082 -5 * -1 5 Multiply 0.06 and 0.43. 0.0258 Multiply -0.3 and -50. 15 Work out 30.7 * 5. 153.5 Calculate 0.3*-225. -67.5 What is the product of -4 and 3.92? -15.68 -0.6*32 -19.2 What is the product of 2 and 69? 138 Multiply -6 and -10.9. 65.4 -431*-0.5 215.5 What is 25 times 0.005? 0.125 -0.004 * -0.01 0.00004 What is the product of 857 and -3? -2571 0.161 times -1 -0.161 1.6*73 116.8 What is the product of -7 and -0.7? 4.9 3.31 * 2 6.62 Work out 25 * -0.312. -7.8 Multiply -0.24 and 17. -4.08 Work out 0.07 * 1.35. 0.0945 Multiply -1309 and -0.3. 392.7 7*-0.61 -4.27 Multiply 0.05 and 0.63. 0.0315 0.5 times 0.024 0.012 Multiply -5 and -0.027. 0.135 Product of -47619 and -3. 142857 406 * -5 -2030 -3.32 times 0.4 -1.328 What is the product of 5 and 1051? 5255 Product of 0.08 and 150. 12 Work out -5 * -24. 120 63.6*-0.4 -25.44 Work out 3596 * -7. -25172 Multiply 1151.6 and -0.5. -575.8 -7845 * 0.1 -784.5 What is the product of 118 and -2? -236 65 * -8 -520 Multiply -11.3 and 7. -79.1 Work out 502 * -0.
{ "pile_set_name": "DM Mathematics" }
, 23, 31, 56923 What are the prime factors of 4384174884? 2, 3, 10789, 33863 What are the prime factors of 32013489? 3, 193, 55291 What are the prime factors of 18364241? 7, 19, 138077 What are the prime factors of 32427796? 2, 307, 26407 What are the prime factors of 14799664? 2, 11, 84089 What are the prime factors of 558763325? 5, 373, 59921 What are the prime factors of 142802156? 2, 7, 5100077 What are the prime factors of 1383674907? 3, 461224969 List the prime factors of 62477006. 2, 17, 47, 39097 List the prime factors of 127007756. 2, 887, 35797 What are the prime factors of 1902812661? 3, 419, 168197 What are the prime factors of 20025753? 3, 11, 19, 41 What are the prime factors of 98973381? 3, 13, 2537779 List the prime factors of 109199016. 2, 3, 43, 3919 What are the prime factors of 7732369433? 67, 115408499 What are the prime factors of 251840348? 2, 251, 250837 What are the prime factors of 12122794? 2, 23, 211, 1249 What are the prime factors of 753984620? 2, 5, 23, 1639097 What are the prime factors of 108175379? 13, 19, 59, 571 List the prime factors of 215913940. 2, 5, 11, 17, 57731 List the prime factors of 2683303412. 2, 4957, 135329 What are the prime factors of 1094105165? 5, 31, 7058743 List the prime factors of 4474358645. 5, 787, 1137067 List the prime factors of 1232932800. 2, 3, 5, 11, 19, 1229 What are the prime factors of 2945762677? 11, 13, 509, 40471 What are the prime factors of 293314796? 2, 2393, 30643 List the prime factors of 904200521. 7, 9311, 13873 List the prime factors of 476524752. 2, 3, 11, 29, 31121 List the prime factors of 146674054. 2, 29, 2528863 What are the prime factors of 115875605? 5, 23175121 List the prime factors of 377347370. 2, 5, 2689, 14033 What are the prime factors of 742936467? 3, 7, 13, 113, 24083 List the prime factors of 369097362. 2, 3, 20505409 List the prime factors of 6024139. 11, 53, 10333 List the prime factors of 417386185. 5, 5023, 16619 What are the prime factors of 55913293? 149, 375257 List the prime factors of 1640797295. 5, 31, 10585789 What are the prime factors of 67706531? 439, 154229 List the prime factors of 1227418012. 2, 19, 16150237 What are the prime factors of 1820360454? 2, 3, 11, 167, 317, 521 List the prime factors of 140266328. 2, 23, 61, 12497 What are the prime factors of 5381934855? 3, 5, 11, 73, 446819 List the prime factors of 8772803253. 3, 19, 29, 65521 What are the prime factors of 7508414? 2, 251, 14957 What are the prime factors of 23602267? 13, 1815559 What are the prime factors of 37035188? 2, 67, 138191 List the prime factors of 120905934. 2, 3, 83, 107, 2269 What are the prime factors of 8190166? 2, 173, 23671 List the prime factors of 1249505551. 7, 178500793 What are the prime factors of 613044874? 2, 13, 41, 367, 1567 What are the prime factors of 119349190? 2, 5, 103, 115873 What are the prime factors of 368862377? 13, 463, 61283 What are the prime factors of 4197885515? 5, 491, 1709933 List the prime factors of 158981624. 2, 19872703 What are the prime factors of 558324745? 5, 11, 10151359 List the prime factors of 40297763. 11, 3663433 List the prime factors of 1703943462. 2, 3, 13, 37, 131, 4507 List the prime factors of 153038931. 3, 53, 962509 List the prime factors of 369810506. 2, 13, 14223481 What are the prime factors of 873503671? 463, 967, 1951 What are the prime factors of 343518043? 11, 19, 107, 15361 List the prime factors of 203870091. 3, 23, 2954639 List the prime factors of 256950196. 2, 31, 2072179 What are the prime factors of 5410901999? 281, 19255879 List the prime factors of 2914309. 2914309 What are the prime factors of 1934580288? 2, 3, 137, 73547 List the prime factors of 22082888. 2, 2760361 List the prime factors of 1961586435. 3, 5, 130772429 What are the prime factors of 491875685? 5, 7, 14053591 What are the prime factors of 3270201158? 2, 7, 17, 97, 141653 List the prime factors of 8312169. 3, 2770723 List the prime factors of 6716154601. 13, 139, 1907, 1949 List the prime factors of 2117429978. 2, 281, 601, 6269 List the prime factors of 2984591122. 2, 1492295561 What are the prime factors of 150801977? 41, 3678097 What are the prime factors of 201587235? 3, 5, 13439149 List the prime factors of 5446619766. 2, 3, 7, 17, 79, 10729 List the prime factors of 1855151635. 5, 371030327 What are the prime factors of 989028151? 29, 59, 578041 List the prime factors of 1723510118. 2, 11, 149, 525781 What are the prime factors of 41156683? 23, 313, 5717 List the prime factors of 12407039. 12407039 List the prime factors of 34638845. 5, 37, 187237 What are the prime factors of 1552687692? 2, 3, 129390641 What are the prime factors of 308016819? 3, 11, 3111281 What are the prime factors of 14961454? 2, 23, 325249 List the prime factors of 651461120. 2, 5, 397, 641 What are the prime factors of 3742225104? 2, 3, 19, 211, 19447 What are the prime factors of 796483136? 2, 67, 185747 List the prime factors of 6568305426. 2, 3, 364905857 What are the prime factors of 461827787? 23, 3373, 5953 What are the prime factors of 531805247? 531805247 What are the prime factors of 2814587471? 4001, 703471 List the prime factors of 3334955233. 3334955233 List the prime factors of 567130164. 2, 3, 19, 2487413 What are the prime factors of 2996158948? 2, 17, 409, 6337 List the prime factors of 391595584. 2, 29, 101, 2089 List the prime factors of 3308958146. 2, 13, 2887, 3391 List the prime factors of 7581854751. 3, 2527284917 List the prime factors of 458484703. 607, 755329 List the prime factors of 684554127. 3, 149, 181, 8461 What are the prime factors of 644836406? 2, 97, 34267 What are the prime factors of 206288802? 2, 3, 43, 73, 1217 What are the prime factors of 2577453064? 2, 283, 1138451 What are the prime factors of 1706100218? 2, 29, 29415521 List the prime factors of 37720699. 37720699 What are the prime factors of 83838572? 2, 20959643 What are the prime factors of 349626225? 3, 5, 13, 358591 What are the prime factors of 912822092? 2, 7, 13, 19, 89, 1483 List the prime factors of 24703226. 2, 12351613 What are the prime factors of 20028801? 3, 13, 61, 8419 What are the prime factors of 844847495? 5, 31, 5450629 List the prime factors of 483309105. 3, 5, 227, 141941 What are the prime factors of 97569004? 2, 13, 1876327 List the prime factors of 16707985. 5, 7, 53, 9007 What are the prime factors of 1979183249? 11423, 173263 What are the prime factors of 34146054? 2, 3, 107, 17729 List the prime factors of 520500696. 2, 3, 17, 1275737 List the prime factors of 234316601. 234316601 What are the prime factors of 36683918? 2, 1123, 16333 What are the prime factors of 79510621? 79510621 What are the prime factors of 24872659? 7, 163, 21799 List the prime factors of 526057544. 2, 109, 353, 1709 List the prime factors of 212152437. 3, 7, 23, 31, 4723 List the prime factors of 350167536. 2, 3, 270191 What are the prime factors of 30537857? 7, 4362551 What are the prime factors of 126038306? 2, 17, 271, 13679 What are the prime factors of 403743911? 403743911 List the prime factors of 2612550480. 2, 3, 5, 17, 599, 1069 What are the prime factors of 184398358? 2, 97, 950507 What are the prime factors of 70011403? 7, 11, 909239 List the prime factors of 27529707. 3, 433, 21193 List the prime factors of 1785719401. 1785719401 List the prime factors of 2483288. 2, 41, 67, 113 What are the prime factors of 352616410? 2, 5, 313, 112657 List the prime factors of 1278883248. 2, 3, 26643401 List the prime factors of 104879183. 19, 181, 30497 List the prime factors of 8816155. 5, 1763231 What are the prime factors of 1747135637? 13, 23, 191, 30593 List the prime factors of 54905901. 3, 103, 137, 1297 List the prime factors of 23767609. 23767609 List the prime factors of 61702421. 11, 37, 151603 List the prime factors of 487862996. 2, 31, 977, 4027 List the prime factors of 109284260. 2, 5, 1601, 3413 What are the prime factors of 196560429? 3, 13, 31, 367, 443 List the prime factors of 360358780. 2, 5, 823, 21893 What are the prime factors of 735454041? 3, 7, 853, 41057 List the prime factors of 120390531. 3, 137, 292921 List the prime factors of 2384612683. 2384612683 What are the prime factors of 476758929? 3, 47, 3381269 Lis
{ "pile_set_name": "DM Mathematics" }
t b(r) = r**3 - 27*r**2 + 187*r - 105. Calculate b(15). 0 Let h(o) = 4635*o - 1223639. Determine h(264). 1 Let j(y) = 128*y + 49785. What is j(-389)? -7 Let i(o) = 2*o**3 - 6*o**2 - 3*o + 83. Give i(4). 103 Let y(b) = 156*b + 1166. What is y(-25)? -2734 Let q(l) = -15090*l - 21110904. Determine q(-1399). 6 Let m(t) = -2*t**3 - 89*t**2 - 67*t - 572. Give m(-44). 440 Let z(l) = -45*l**2 + 21675*l + 7771. Give z(482). 541 Let t(i) = -40*i**3 - 637*i**2 - 11*i - 727. Calculate t(-16). 217 Let d(z) = 10*z**3 + 859*z**2 - 3*z + 7143. Determine d(-86). 5 Let k(l) = l**3 - 251*l**2 + 1020*l - 7908. Give k(247). -4 Let g(d) = 3848*d + 119672. Determine g(-31). 384 Let k(z) = -z**3 + 9*z**2 + 60*z - 159. Determine k(6). 309 Let m(w) = 448*w + 244. Calculate m(-4). -1548 Let p(g) = -191*g**3 + 9*g**2 + 20*g - 19. Calculate p(-2). 1505 Let v(c) = -905*c**2 - 1251*c + 18. Give v(-2). -1100 Let a(f) = f**3 - 130*f**2 + 363*f + 968. Calculate a(127). -1318 Let n(z) = 450451*z - 3603592. What is n(8)? 16 Let q(m) = 784*m - 27133. What is q(35)? 307 Let v(r) = 3*r**2 - 2321*r + 11531. What is v(5)? 1 Let i(s) = 2*s**3 + 174*s**2 + 529*s + 247. Calculate i(-84). -1853 Let n(s) = -821*s + 60735. Give n(74). -19 Let f(m) = m**3 + 475*m**2 + 1381*m + 429915. Calculate f(-474). -3 Let k(b) = -2*b**3 - 171*b**2 + 440*b + 141. Calculate k(-88). 141 Let w(x) = -4*x**3 + 301*x**2 + 1941*x + 12. Calculate w(-6). 66 Let z(y) = 745*y**2 + 5187*y + 7. Give z(-7). 203 Let c(j) = j**3 + 170*j**2 + 1905*j + 1087. Calculate c(-158). -335 Let m(x) = 11441*x - 57101. Determine m(5). 104 Let o(a) = -a**2 + 1627158*a - 14644343. Calculate o(9). -2 Let r(x) = -40337*x + 40336. Calculate r(1). -1 Let v(j) = 2*j**3 + 99*j**2 + 1116*j - 74. Calculate v(-32). 54 Let r(l) = 4169*l - 25019. Determine r(6). -5 Let l(y) = -2*y**2 - 130*y + 1376. What is l(-77)? -472 Let h(y) = 3*y**2 - 197*y - 3039. Determine h(-13). 29 Let w(h) = -442496*h - 442563. What is w(-1)? -67 Let l(p) = -883*p + 25366. Give l(29). -241 Let s(h) = 3*h**2 - 78*h + 1521. Give s(17). 1062 Let q(z) = z**3 + 15*z**2 - 60*z - 9. What is q(-14)? 1027 Let y(u) = 7*u**2 - 48*u + 538. Determine y(16). 1562 Let l(v) = -12*v**2 - 1525*v + 12211. Give l(8). -757 Let x(o) = 355*o**3 + o**2 + 17*o - 43. Give x(2). 2835 Let j(y) = 848*y + 21006. Calculate j(-25). -194 Let b(z) = 26*z**2 + 315*z - 1. Give b(-11). -320 Let f(r) = -6354*r + 1785475. Give f(281). 1 Let q(f) = -1413*f - 308150. Calculate q(-218). -116 Let t(z) = 78*z + 2666. What is t(-32)? 170 Let q(z) = 8444*z + 1773238. Determine q(-210). -2 Let u(k) = -21*k**3 + 6*k**2 - 8*k - 54. Calculate u(-4). 1418 Let v(x) = -x**3 - 11*x**2 + 289*x + 3181. Determine v(-12). -143 Let c(y) = 67764*y + 3930311. Determine c(-58). -1 Let t(f) = 2*f**3 + 12440*f**2 - 162043*f - 191. Calculate t(13). 4 Let r(g) = -14*g**3 - 159*g**2 - 319*g - 156. Give r(-9). 42 Let u(n) = 96*n**2 - 13655*n - 67182. Give u(147). -3 Let a(m) = -446*m - 48379. What is a(-108)? -211 Let b(u) = -57651*u - 4266168. Determine b(-74). 6 Let w(y) = 459*y - 4587. Calculate w(11). 462 Let m(j) = 2*j**2 + 471*j + 8387. Give m(-217). 358 Let r(b) = -b**3 - 101*b**2 - 2112*b + 3074. Give r(-32). 2 Let g(l) = 693*l + 70431. Determine g(-97). 3210 Let u(v) = 30*v**3 - 50*v**2 + v + 3. Calculate u(4). 1127 Let i(r) = 15*r**2 - 215*r - 783. Give i(-3). -3 Let g(k) = -k**3 + 33*k**2 - 2132*k + 67207. Calculate g(32). 7 Let f(r) = 444*r - 2286. Calculate f(5). -66 Let a(m) = 62*m + 8291. What is a(-57)? 4757 Let q(d) = 153312*d + 3986086. What is q(-26)? -26 Let r(s) = 393046*s - 786046. What is r(2)? 46 Let y(p) = 176*p + 11858. Calculate y(-70). -462 Let r(z) = -z**2 - 2335*z - 53115. What is r(-23)? 61 Let c(j) = -j**2 - 20*j + 28576. What is c(-179)? 115 Let g(h) = 47*h**2 - 10*h - 15. Calculate g(-2). 193 Let b(a) = -7*a**3 + 1679*a**2 + 28927*a + 246. What is b(256)? -10 Let a(p) = 303*p - 868. Give a(3). 41 Let b(a) = -2991*a + 74805. Determine b(25). 30 Let x(q) = -335*q - 8037. Determine x(-25). 338 Let q(z) = 180576*z - 2528059. Calculate q(14). 5 Let p(x) = -898*x + 44902. Calculate p(50). 2 Let w(v) = v**2 + 79116*v - 553857. What is w(7)? 4 Let w(s) = 176*s - 29061. What is w(165)? -21 Let s(v) = -564*v + 11074. Determine s(20). -206 Let k(d) = -21*d**2 + 9178*d + 8664. Determine k(438). -96 Let r(g) = -1206*g + 86833. Give r(72). 1 Let i(l) = l**3 - 60*l**2 + 123*l + 717. What is i(57)? -2019 Let y(k) = 329*k + 194481. Give y(-591). 42 Let h(s) = -s**3 + 106*s**2 + 19689*s + 346. Give h(203). -60 Let c(f) = 9*f**3 - 2*f**2 + 107*f - 594. Calculate c(5). 1016 Let x(g) = -2950*g - 6257. Calculate x(-2). -357 Let i(a) = -3*a**2 - 17093*a + 68425. Determine i(4). 5 Let m(u) = 23386*u - 24. Give m(0). -24 Let m(s) = -9653*s - 106186. Calculate m(-11). -3 Let s(a) = -1102864*a - 3308605. Give s(-3). -13 Let m(p) = 14*p**3 + 122*p**2 + 373*p + 15. What is m(-3)? -384 Let s(a) = -13988*a + 391657. What is s(28)? -7 Let f(j) = 2*j**3 - 37*j**2 + 515*j - 11901. Determine f(21). 1119 Let y(d) = -d**3 - 69*d**2 - 1011*d - 525. Determine y(-47). -1606 Let g(z) = 6*z**2 - 24551*z - 344819. Calculate g(-14). 71 Let s(n) = -n**2 - 997*n + 12. Give s(0). 12 Let f(u) = -27511*u + 466810. Determine f(17). -877 Let m(k) = -10448*k - 83572. Determine m(-8). 12 Let f(m) = -88864*m + 622062. Give f(7). 14 Let d(o) = 81851*o - 818502. Calculate d(10). 8 Let h(x) = -28205*x + 84697. Give h(3). 82 Let v(p) = -5*p**2 + 1077*p - 1471. Calculate v(214). 27 Let m(j) = -j**2 + 108*j + 11503. Determine m(175). -222 Let l(j) = -231*j**2 + 6903*j + 709. Calculate l(30). -101 Let w(d) = 2*d**2 + 222*d + 5839. Determine w(-64). -177 Let s(n) = 129*n**3 - 134*n**2 - 78*n + 79. Calculate s(1). -4 Let s(l) = 2592*l - 165873. Determine s(64). 15 Let i(a) = -296*a - 3143. Give i(-5). -1663 Let i(c) = 3*c**3 + 1039*c**2 + 385*c + 13504. Determine i(-346). 10 Let i(x) = -1115*x + 36315. Calculate i(31). 1750 Let i(q) = q**3 - 123*q**2 + 1043*q - 1326. What is i(114)? 612 Let r(s) = -680*s + 3551. Determine r(5). 151 Let q(o) = o**3 + 6*o**2 + 182*o + 1296. Give q(-7). -27 Let j(w) = 3*w**3 + 160*w**2 - 192*w - 4523. Give j(-54). 13 Let l(m) = -m**3 + 20*m**2 - 6260*m + 112027. Give l(18). -5 Let h(s) = -s**2 + 151*s + 66. What is h(0)? 66 Let z(p) = 2406*p - 8350. Give z(4). 1274 Let z(v) = -593*v + 14803. Calculate z(25). -22 Let y(q) = 113*q + 8373. Determine y(-77). -328 Let o(n) = 231*n - 10666. Determine o(47). 191 Let s(t) = 197*t**2 + 15*t + 28. Determine s(-2). 786 Let o(b) = -6*b**2 - 289*b + 144. Calculate o(-35). 2909 Let g(b) = -102856*b - 719843. Determine g(-7). 149 Let i(q) = -q**2 - 107*q + 1723. Calculate i(25). -1577 Let g(l) = -23069*l + 230621. Give g(10). -69 Let r(g) = 10*g**3 - g**2 + 31*g - 79. Calculate r(-6). -2461 Let i(t) = 765*t + 324. Calculate i(-2). -1206 Let j(i) = -5*i**2 - 6376*i + 38310. Determine j(6). -126 Let n(z) = -2*z**2 - 64768*z + 388679. Determine n(6). -1 Let t(n) = n**3 - 61*n**2 - 235*n - 6221. Give t(66). 49 Let r(z) = 77664*z - 466037. Give r(6). -53 Let m(y) = -14*y**2 - 7*y + 242. Give m(9). -955 Let x(v) = v**3 + 294*v**2 - 848*v - 118. What is x(3)? 11 Let w(o) = -81167*o - 162622. Determine w(-2). -288 Let z(p) = 2*p**3 + 818*p**2 + 58330*p + 191. Give z(-92). 7 Let y(l) = 774*l - 5711. Give y(7). -293 Let x(h) = h**3 - 105*h**2 + 26*h + 577. Calculate x(105). 3307 Let q(t) = t**2 + 436*t + 44898. What is q(-167)? -25 Let n(k) = 366*k**2 - 373*k - 2208. Give n(-2). 2 Let k(g) = -g**2 - 181*g - 5306. Calculate k(-145). -86 Let y(t) = 2*t**2 - 1443*t - 10063. Determine y(-7). 136 Let s(x) = 1139264*x + 6835625. Give s(-6). 41 Let c(j) = -j**3 - 121*j**2 + 941*j - 392. What is c(7)? -77 Let u(k) = -23*k**2 - 3239*k + 499. What is u(-141)? -65 Let x(m) = m**2 + 634*m + 29401. What is x(-50)? 201 Let a(o) = 2*o**2 + 255*o - 96485. Give a(165). 40 Let n(l) = l**3 + 315*l**2 + 843*l - 315. Determine n(-3). -36 Let u(t) = 14*t**3 + 2*t**2 - 15*t + 39. Calculate u(3). 390 Let i(x) = -16168*x + 30821. Calculate i(2). -1515 Let r(x) = 16*x**2 + 4407*x + 6288. What is r(-274)? -14 Let b(v) = -1714*v + 245103. Determine b(143). 1 Let c(y) = y**3 + 24*y**2 - 59*y - 242. Calculate c(4). -30 Let b(p) =
{ "pile_set_name": "DM Mathematics" }
*r + 30450 Find the second derivative of -1622723*q**3 - 21*q**2 + 3*q - 187837235. -9736338*q - 42 Find the first derivative of 48290847*m**2 - 28492152. 96581694*m Find the second derivative of 179516193*b**2 - 135851550*b wrt b. 359032386 What is the third derivative of 2*a**2*z**3 + 9*a**2*z**2 - 946*a**2*z - 431*a*z**3 - 13*a*z**2 - 25*a*z - 637*z**3 wrt z? 12*a**2 - 2586*a - 3822 What is the second derivative of 340522986*p**5 + 88239165*p + 2 wrt p? 6810459720*p**3 What is the third derivative of -12143405*z**3 + 7337825*z**2 wrt z? -72860430 What is the derivative of -211125672*j**2 - 26994160 wrt j? -422251344*j Find the third derivative of -2*o**4 + 65810702*o**3 - 191541*o**2 + 3*o - 27. -48*o + 394864212 What is the third derivative of 2*t**3*u**2 - 5725157*t**3*u + 23*t**2*u + 63*t**2 - 3*t - 4*u**2 + 13 wrt t? 12*u**2 - 34350942*u Differentiate 1546*g**2 + g*y**2 - 352*g*y + 2*g + 13029*y**2 - 32*y wrt g. 3092*g + y**2 - 352*y + 2 Find the third derivative of 124191029*i**3 + 6*i**2 + i - 25737236. 745146174 Find the second derivative of -198235293*d**2 + 167409770*d + 1 wrt d. -396470586 Find the third derivative of -186556583*l**5 + 4*l**2 - 73*l + 111. -11193394980*l**2 What is the derivative of -6087514*u - 20466923? -6087514 What is the second derivative of 24629564*l**2 + 15*l + 199063? 49259128 Find the first derivative of 586164*w**2 - 27*w - 16918811. 1172328*w - 27 What is the second derivative of -5*a**2*m**2 + 3*a**2*m + 85583440*a**2 + a*m**2 - 2*a*m - 10262727*m**2 wrt m? -10*a**2 + 2*a - 20525454 Find the first derivative of 4865224*u**2 - 11459266. 9730448*u What is the second derivative of -220698786*a**5 + 112489562*a? -4413975720*a**3 What is the derivative of 4864*s*u**3 - 1396*s + 480617*u**3 + 4*u**2 - 2*u + 3 wrt s? 4864*u**3 - 1396 Find the third derivative of 7490630*x**3 + 16*x**2 + 136056*x. 44943780 What is the second derivative of 35028703*a**2 + 846214658*a? 70057406 What is the second derivative of 25763458*j**2 + 11488723*j? 51526916 What is the third derivative of -7185284*m**4 - 170*m**2 - 8381 wrt m? -172446816*m What is the third derivative of -70619787*j**5 - 2*j**4 - 289210*j**2 + 219*j? -4237187220*j**2 - 48*j Find the third derivative of -98813190*c**3 - 579*c**2 - 120359*c wrt c. -592879140 What is the third derivative of 71586619*o**3 - 739985*o**2 - 2*o + 20 wrt o? 429519714 What is the third derivative of -5263918*p**3 - 37719651*p**2 wrt p? -31583508 What is the second derivative of 2*f**2*q**2 + 4614279*f**2*q + 9*q**5 - 62174*q**3 wrt q? 4*f**2 + 180*q**3 - 373044*q Find the first derivative of 26*k**2 - 1497129*k - 11705055 wrt k. 52*k - 1497129 What is the third derivative of 18033*a**5 + 6*a**4 + 12*a**3 - 1379*a**2 + 1897*a? 1081980*a**2 + 144*a + 72 What is the third derivative of 11113*a*y**4 + 1506*a*y**2 + 44788*a*y - 4228*y**3 wrt y? 266712*a*y - 25368 What is the third derivative of 205*z**4 + 1015532*z**3 + z**2 - 400628754*z + 2 wrt z? 4920*z + 6093192 What is the third derivative of 125069224*a**4 - 83896*a**2 - 152*a? 3001661376*a What is the second derivative of 8990812*q**2*u + 646016*q + u wrt q? 17981624*u What is the second derivative of -8*q*s**4 + 3*q*s**2 + 614*q*s - 17397*s**3 - 11294*s wrt s? -96*q*s**2 + 6*q - 104382*s Find the first derivative of 8041946*c + 41441997 wrt c. 8041946 Differentiate 3*v**4 - v**3 - v**2 - 2238*v - 10336773 with respect to v. 12*v**3 - 3*v**2 - 2*v - 2238 Find the first derivative of -80071422*z**4 - 127077995. -320285688*z**3 Find the third derivative of -13*b**5 + 35*b**4 + 1525*b**3 + 2*b**2 - 189*b + 705. -780*b**2 + 840*b + 9150 Find the second derivative of 81634029*h**3 - 210251610*h wrt h. 489804174*h Differentiate -15*s**2*w + 3*s**2 - 5671*s*w + 80*s + 390337822*w wrt s. -30*s*w + 6*s - 5671*w + 80 Differentiate 12388022*i**2 - 6611260 wrt i. 24776044*i What is the first derivative of 425836*v**2 + 103*v - 62235187 wrt v? 851672*v + 103 Find the third derivative of 64156624*l**4 - 21166410*l**2 - l + 1 wrt l. 1539758976*l Find the third derivative of 1806224*h**3 - h**2 + 116184927 wrt h. 10837344 What is the second derivative of -10*c**3*h - 14*c**3 + 48*c**2*h + 199*c**2 - 974*c*h + 6828*c + h - 2 wrt c? -60*c*h - 84*c + 96*h + 398 Differentiate 2*c*m**2 + 3738*c*m + 509*c - 9*m**2 + 23*m - 21191 wrt m. 4*c*m + 3738*c - 18*m + 23 Find the third derivative of 82*k**5 - 62326*k**3*s**3 - 2987*k**2*s - 19*k*s**3 + 24*s**3 wrt k. 4920*k**2 - 373956*s**3 What is the third derivative of 15558104*s**3*u**3 - 7*s**3*u - 2*s**3 + 328*s**2*u**2 + 25*s**2 - 8*s + 2*u**5 wrt u? 93348624*s**3 + 120*u**2 What is the second derivative of -5634123*m**5 + m**2*o**2 - 4*m**2 - 14*m*o**2 - 9*m*o + 5*o**2 + 2765*o + 3 wrt m? -112682460*m**3 + 2*o**2 - 8 What is the first derivative of l**3*q - 58*l**3 - 241*l**2 + 1577292*l*q + 19*l wrt q? l**3 + 1577292*l Find the second derivative of 72111*j**3 + 13*j**2 + 1129*j - 997. 432666*j + 26 What is the third derivative of -7*m*r**3 + 409*m*r**2 - 167*m*r - 2*m + 1646316*r**3 + 5*r**2 wrt r? -42*m + 9877896 Find the first derivative of 1176*o**4 - 4543*o**3 - 40434239. 4704*o**3 - 13629*o**2 What is the second derivative of -695184375*u**2 - 2*u + 55066722 wrt u? -1390368750 Find the third derivative of 28850*c**4 + 4005*c**3 - 571*c**2 + 1311*c + 14. 692400*c + 24030 What is the third derivative of 136539*n**6*r - 511*n**4*r - 2*n**2*r - 2*n**2 - 68618*n*r - 28*r wrt n? 16384680*n**3*r - 12264*n*r Differentiate 237345*c**2 - 40*c*z**2 - z**2 + 659821722*z wrt c. 474690*c - 40*z**2 Find the third derivative of -296*f**5 - 2*f**4 - 928*f**3 - 62474*f**2 - 3. -17760*f**2 - 48*f - 5568 What is the second derivative of -2015*u*y**3 + 9*u*y**2 - 2*u*y + 2*u + 7*y**3 + 2*y**2 - 25*y - 201 wrt y? -12090*u*y + 18*u + 42*y + 4 What is the third derivative of -1924*g**3*m**2 - 18*g**3*m - 3*g**3 - g**2*m**2 - g**2*m - g**2 + 1104*g - m**2 wrt g? -11544*m**2 - 108*m - 18 What is the second derivative of 13*f*k*x**2 - 20*f*k*x + 33*f*x**2 + 3*f*x + 16*k*x**2 + 311*x**3 + 603*x + 21 wrt x? 26*f*k + 66*f + 32*k + 1866*x Differentiate -a**2*h + 6*a**2 - 436284*a*h - 9*a - 11206*h + 12141 with respect to a. -2*a*h + 12*a - 436284*h - 9 Differentiate 1349707*c*z - 15927855*c + 3*z with respect to z. 1349707*c + 3 Differentiate 15832182*r**2 - 13883077 with respect to r. 31664364*r What is the derivative of -1471881*n**2 - 13249258? -2943762*n Differentiate -219495093*p**3 + 145159137 wrt p. -658485279*p**2 Find the third derivative of 2*o**6 + 422610*o**3 - 11*o**2 - 79029 wrt o. 240*o**3 + 2535660 Find the first derivative of -666125*p**4 - 2*p**3 + 367*p + 275648645. -2664500*p**3 - 6*p**2 + 367 Find the first derivative of 19*o**4*s + 337558*o*s**3 - 12*s**3 + 3*s**2 + 4609*s - 6 wrt o. 76*o**3*s + 337558*s**3 What is the second derivative of -38326538*l**2 + 570118*l + 65 wrt l? -76653076 Find the second derivative of -9471442*w**2 - 15118*w - 221 wrt w. -18942884 What is the second derivative of -666350*t**2*x**2 + 11*t**2 + 124583*t*x**2 - t + 8*x wrt t? -1332700*x**2 + 22 Find the first derivative of 401298453*l**3 + 417491669. 1203895359*l**2 Find the first derivative of -6451456*v + 331828636. -6451456 What is the second derivative of 68*g**3*t - 208*g**3 + 26*g**2*t + 2*g*t + g - 2*t + 734270 wrt g? 408*g*t - 1248*g + 52*t Find the first derivative of r**3 - 1779*r**2 + 34*r + 8664110. 3*r**2 - 3558*r + 34 What is the second derivative of 6022815*g**5 + 3*g**4 + 7736888*g? 120456300*g**3 + 36*g**2 What is the second derivative of -2*c**4 + 3684507*c**3 + 4345502*c wrt c? -24*c**2 + 22107042*c What is the third derivative of -44035429*z**3 - 212046103*z**2? -264212574 What is the first derivative of 22293600*p*v - 2871783*p - 6 wrt v? 22293600*p What is the derivative of -76926749*a**2 - 30070971? -153853498*a Differentiate -109*s*v**2 - 402*s*v + 2016995*s + 2*v**2 - 3*v with respect to v. -218*s*v - 402*s + 4*v - 3 Find the second derivative of 766346*z**5 - 3325*z + 386 wrt z. 15326920*z**3 What is the second derivative of 6325045*t**3 - 8023953*t wrt t? 37950270*t What is the second derivative of 2650396*a**2 - 21838753*a? 5300792 What is the first derivative of -4208192*r*u**2 - 34612733*r -
{ "pile_set_name": "DM Mathematics" }
of 1385733, 2771454, 4157175? 1385721*k + 12 What is the v'th term of -4929275, -4929273, -4929271, -4929269, -4929267, -4929265? 2*v - 4929277 What is the w'th term of -125521025, -125521023, -125521021? 2*w - 125521027 What is the s'th term of -3936523, -3936431, -3936339, -3936247, -3936155, -3936063? 92*s - 3936615 What is the s'th term of -8640, -9586, -10532, -11478, -12424? -946*s - 7694 What is the r'th term of -247852603, -495705206, -743557809, -991410412? -247852603*r What is the i'th term of 5710762, 11421524, 17132286, 22843048? 5710762*i What is the l'th term of 7764, 6371, 4976, 3579, 2180, 779? -l**2 - 1390*l + 9155 What is the q'th term of -3995, -8044, -12149, -16310, -20527? -28*q**2 - 3965*q - 2 What is the z'th term of -17514391, -35028813, -52543245, -70057693, -87572163, -105086661? -z**3 + z**2 - 17514418*z + 27 What is the w'th term of 7, -348, -1479, -3776, -7629, -13428, -21563, -32424? -65*w**3 + 2*w**2 + 94*w - 24 What is the t'th term of 22625, 45533, 68885, 92903, 117809, 143825, 171173? 37*t**3 + 22649*t - 61 What is the p'th term of -14058, -24341, -34626, -44913, -55202, -65493? -p**2 - 10280*p - 3777 What is the f'th term of 284443, 284454, 284475, 284512, 284571? f**3 - f**2 + 7*f + 284436 What is the o'th term of 61547, 123216, 184885, 246554, 308223, 369892? 61669*o - 122 What is the g'th term of -10796, -43211, -97256, -172931? -10815*g**2 + 30*g - 11 What is the g'th term of -30556, -32370, -34184? -1814*g - 28742 What is the q'th term of -3123251, -3123262, -3123295, -3123362, -3123475, -3123646, -3123887, -3124210? -2*q**3 + q**2 - 3123250 What is the m'th term of -33810, -32905, -32000, -31095? 905*m - 34715 What is the s'th term of -9835, -18430, -27025, -35620, -44215, -52810? -8595*s - 1240 What is the d'th term of -19058, -17307, -15556, -13805? 1751*d - 20809 What is the p'th term of 47, -211, -669, -1345, -2257, -3423? -3*p**3 - 82*p**2 + 9*p + 123 What is the s'th term of 2487446, 2487450, 2487454, 2487458, 2487462? 4*s + 2487442 What is the a'th term of -18970, -76189, -171554, -305065? -19073*a**2 + 103 What is the c'th term of 689325, 689329, 689333, 689337, 689341? 4*c + 689321 What is the i'th term of 233747, 467522, 701297? 233775*i - 28 What is the r'th term of -4448, -4814, -5180, -5546, -5912, -6278? -366*r - 4082 What is the g'th term of 1756, 4998, 10400, 17962, 27684, 39566, 53608? 1080*g**2 + 2*g + 674 What is the t'th term of -3199, -13055, -29569, -52741? -3329*t**2 + 131*t - 1 What is the q'th term of -12080, -11995, -11928, -11879, -11848, -11835? -9*q**2 + 112*q - 12183 What is the c'th term of -141728, -283433, -425140, -566849? -c**2 - 141702*c - 25 What is the k'th term of 622683, 622660, 622637, 622614, 622591, 622568? -23*k + 622706 What is the k'th term of -69920, -139854, -209816, -279818, -349872, -419990, -490184? -2*k**3 - 2*k**2 - 69914*k - 2 What is the a'th term of -57394, -49496, -41600, -33706, -25814, -17924, -10036? -a**2 + 7901*a - 65294 What is the g'th term of -52, -265, -482, -697, -904, -1097? g**3 - 8*g**2 - 196*g + 151 What is the z'th term of 271861628, 543723252, 815584876, 1087446500, 1359308124? 271861624*z + 4 What is the d'th term of -7496, -12369, -17242, -22115, -26988, -31861? -4873*d - 2623 What is the u'th term of 26188, 104781, 235758, 419113, 654840? -u**3 + 26198*u**2 + 6*u - 15 What is the v'th term of 125033, 125037, 125041, 125045? 4*v + 125029 What is the l'th term of 4349, 3063, 1777? -1286*l + 5635 What is the p'th term of -12599, -11989, -11441, -10985, -10651, -10469? -5*p**3 - p**2 + 648*p - 13241 What is the v'th term of 20270534, 40541072, 60811612, 81082154, 101352698? v**2 + 20270535*v - 2 What is the l'th term of 6408, 14635, 22862, 31089, 39316, 47543? 8227*l - 1819 What is the t'th term of -3454, -7571, -14430, -24031? -1371*t**2 - 4*t - 2079 What is the b'th term of 4555772, 4555791, 4555810? 19*b + 4555753 What is the b'th term of -47851777, -95703547, -143555317, -191407087, -239258857, -287110627? -47851770*b - 7 What is the i'th term of -3522434, -3522105, -3521776, -3521447, -3521118? 329*i - 3522763 What is the m'th term of 67282, 134076, 200870, 267664, 334458, 401252? 66794*m + 488 What is the k'th term of -3821816, -3821795, -3821748, -3821663, -3821528, -3821331, -3821060? 2*k**3 + k**2 + 4*k - 3821823 What is the v'th term of -1187315, -1187331, -1187347, -1187363, -1187379? -16*v - 1187299 What is the a'th term of 438517, 876948, 1315379, 1753810, 2192241? 438431*a + 86 What is the z'th term of 1157, 1440, 1723, 2006? 283*z + 874 What is the i'th term of 45981, 92055, 138129, 184203, 230277? 46074*i - 93 What is the b'th term of -2551, -1164, 223? 1387*b - 3938 What is the u'th term of -1100557, -2201134, -3301703, -4402258, -5502793? u**3 - 2*u**2 - 1100578*u + 22 What is the n'th term of 6257716, 6257712, 6257708? -4*n + 6257720 What is the n'th term of 7261, 4872, -1669, -14438, -35511, -66964, -110873, -169314? -346*n**3 + 33*n + 7574 What is the x'th term of -2978, -11880, -26624, -47132, -73326, -105128, -142460, -185244? 13*x**3 - 2999*x**2 + 4*x + 4 What is the c'th term of 1797734, 7190958, 16179674, 28763888, 44943606? c**3 + 1797740*c**2 - 3*c - 4 What is the t'th term of -38816, -77611, -116408, -155207, -194008? -t**2 - 38792*t - 23 What is the k'th term of -34869, -277377, -935169, -2215887, -4327173? -34607*k**3 - 259*k - 3 What is the p'th term of -22949, -28164, -33379, -38594? -5215*p - 17734 What is the f'th term of 2038, 7948, 17856, 31762, 49666, 71568? 1999*f**2 - 87*f + 126 What is the s'th term of -3673266, -7346511, -11019756? -3673245*s - 21 What is the h'th term of -35069, -34654, -34239, -33824, -33409? 415*h - 35484 What is the q'th term of 221772326, 221772327, 221772328, 221772329? q + 221772325 What is the y'th term of -278329, -1113421, -2505239, -4453777, -6959029, -10020989, -13639651, -17815009? y**3 - 278369*y**2 + 8*y + 31 What is the x'th term of 12139782, 48559150, 109258096, 194236620? 12139789*x**2 + x - 8 What is the d'th term of -551, -2363, -5333, -9419, -14579, -20771, -27953? 7*d**3 - 621*d**2 + 2*d + 61 What is the n'th term of -1113, -4395, -9819, -17349, -26949, -38583, -52215? 6*n**3 - 1107*n**2 - 3*n - 9 What is the d'th term of -3289, -13370, -30201, -53782? -3375*d**2 + 44*d + 42 What is the b'th term of -3521, -14910, -34167, -61292, -96285, -139146? -3934*b**2 + 413*b What is the q'th term of -6798, -1308, 13602, 42642, 90522? 785*q**3 - 5*q - 7578 What is the a'th term of 117410, 469442, 1056164, 1877576, 2933678? 117345*a**2 - 3*a + 68 What is the a'th term of -930, -4464, -10350, -18588, -29178, -42120, -57414? -1176*a**2 - 6*a + 252 What is the s'th term of 1655090, 13240724, 44687428, 105925736, 206886182, 357499300, 567695624? 1655089*s**3 + s**2 + 8*s - 8 What is the z'th term of 11845, 47333, 106459, 189229, 295649, 425725, 579463? z**3 + 11813*z**2 + 42*z - 11 What is the o'th term of 7865, 31558, 71047, 126332, 197413, 284290? 7898*o**2 - o - 32 What is the g'th term of -84297, -166817, -249337, -331857, -414377, -496897? -82520*g - 1777 What is the u'th term of -6447662, -6447665, -6447666, -6447665, -6447662, -6447657, -6447650? u**2 - 6*u - 6447657 What is the w'th term of -720094, -1440299, -2160504? -720205*w + 111 What is the j'th term of -14770, -61879, -140394, -250315? -15703*j**2 + 933 What is the k'th term of -195372, -192302, -189230, -186156, -183080? k**2 + 3067*k - 198440 What is the d'th term of 16875778, 16875782, 16875786, 16875790? 4*d + 16875774 What is the z'th term of -273414, -546824, -820234, -1093644, -1367054, -1640464? -273410*z - 4 What is the l'th term of -128397, -128143, -127889, -127635, -127381, -127127? 254*l - 128651 What is the h'th term of 74330508, 74330505, 74330500, 74330493? -h**2 + 74330509 What is the x'th term of 60745, 120103, 179461, 238819, 298177, 357535? 59358*x + 1387 What is the z'th term of 115763, 231062, 346361, 461660, 576959, 692258? 115299*z + 464 What is the w'th term of -141776, -136960, -132142, -127322, -122500? w**2 + 4813*w - 146590 What is the u'th term of -471547995, -943095992, -1414643989, -1886191986? -471547997*u + 2 What is the z'th term of -606, 1013, 2614, 4197, 5762? -
{ "pile_set_name": "DM Mathematics" }
What is prob of picking 1 d and 2 m? 3/455 Calculate prob of picking 2 b and 1 j when three letters picked without replacement from {y: 1, w: 1, x: 1, b: 2, j: 2, p: 1}. 1/28 Two letters picked without replacement from witbwt. What is prob of picking 1 w and 1 i? 2/15 Two letters picked without replacement from ssssyssyssssssssswww. What is prob of picking 1 y and 1 w? 3/95 What is prob of picking 1 g and 1 h when two letters picked without replacement from {w: 3, c: 3, g: 1, l: 5, s: 1, h: 2}? 2/105 Three letters picked without replacement from unuunxuububbn. Give prob of picking 1 n and 2 u. 45/286 Two letters picked without replacement from vlvvzvlww. What is prob of picking 2 v? 1/6 Calculate prob of picking 4 y when four letters picked without replacement from ycccycycccccccyccccc. 1/4845 Two letters picked without replacement from {p: 3, z: 4, n: 4}. Give prob of picking 1 p and 1 z. 12/55 Two letters picked without replacement from {z: 1, q: 1, i: 1, a: 2}. What is prob of picking 1 q and 1 a? 1/5 What is prob of picking 1 u and 2 l when three letters picked without replacement from llluulul? 15/28 Three letters picked without replacement from {w: 2, h: 1, z: 11, n: 1, o: 5}. What is prob of picking 1 h, 1 w, and 1 n? 1/570 Calculate prob of picking 1 n and 2 a when three letters picked without replacement from aafaainnfana. 9/44 Four letters picked without replacement from {u: 1, m: 1, j: 2, y: 1, i: 1, a: 2}. Give prob of picking 2 u, 1 y, and 1 i. 0 Four letters picked without replacement from {v: 6}. What is prob of picking 4 v? 1 Two letters picked without replacement from {h: 9, g: 11}. What is prob of picking 1 g and 1 h? 99/190 What is prob of picking 2 x when two letters picked without replacement from {h: 2, s: 3, x: 4, e: 6}? 2/35 What is prob of picking 2 t and 1 z when three letters picked without replacement from {t: 2, c: 4, z: 1}? 1/35 Calculate prob of picking 1 e and 1 l when two letters picked without replacement from {x: 2, e: 1, l: 1, y: 5}. 1/36 Four letters picked without replacement from gwrrrlggglwlrgfrr. Give prob of picking 3 l and 1 w. 1/1190 Two letters picked without replacement from {d: 1, b: 2, a: 1}. What is prob of picking 1 b and 1 d? 1/3 Three letters picked without replacement from {s: 4, w: 4, c: 10, g: 1}. What is prob of picking 1 c, 1 w, and 1 g? 40/969 What is prob of picking 1 u, 1 x, and 2 k when four letters picked without replacement from hhkhhkgxkhug? 1/165 Two letters picked without replacement from pzuvpppzuupvu. What is prob of picking 2 p? 5/39 Calculate prob of picking 1 d, 2 t, and 1 c when four letters picked without replacement from {j: 1, o: 5, c: 3, d: 2, h: 1, t: 3}. 6/455 Calculate prob of picking 1 q, 1 j, and 1 z when three letters picked without replacement from qzrqzjzzrzjqjjziz. 21/170 Two letters picked without replacement from mrmmmmtlmrlmmmmmmrml. Give prob of picking 2 m. 39/95 What is prob of picking 1 w and 2 x when three letters picked without replacement from {w: 2, l: 2, e: 6, x: 2, n: 2, q: 3}? 1/340 Four letters picked without replacement from xxaxxxxpxxxpxxxxx. What is prob of picking 1 a and 3 x? 13/85 Two letters picked without replacement from lvvvvvvvvvh. What is prob of picking 1 v and 1 h? 9/55 What is prob of picking 2 t and 2 g when four letters picked without replacement from tgtnggng? 3/35 Four letters picked without replacement from qyqqfqqqyyqa. What is prob of picking 1 y, 2 q, and 1 a? 7/55 What is prob of picking 1 f and 1 s when two letters picked without replacement from {f: 1, j: 1, l: 1, g: 1, s: 1}? 1/10 Three letters picked without replacement from {w: 6}. What is prob of picking 3 w? 1 What is prob of picking 2 j and 2 p when four letters picked without replacement from {j: 10, p: 4}? 270/1001 What is prob of picking 1 x and 1 n when two letters picked without replacement from xxxonxn? 8/21 What is prob of picking 3 v when three letters picked without replacement from {k: 17, v: 3}? 1/1140 What is prob of picking 3 q and 1 e when four letters picked without replacement from rreteeeqtereuuqerqu? 7/3876 What is prob of picking 2 u when two letters picked without replacement from {u: 9, l: 3}? 6/11 What is prob of picking 1 u and 2 g when three letters picked without replacement from {h: 3, x: 3, g: 2, u: 1, d: 9, t: 2}? 1/1140 What is prob of picking 2 h when two letters picked without replacement from whwwwwwwwwwwwwwhww? 1/153 Three letters picked without replacement from {p: 3, q: 3, f: 1, i: 4, a: 7}. What is prob of picking 1 i and 2 p? 1/68 Calculate prob of picking 1 g and 1 b when two letters picked without replacement from {g: 1, z: 1, b: 1}. 1/3 Two letters picked without replacement from {h: 5, l: 1, d: 3}. What is prob of picking 1 h and 1 l? 5/36 Calculate prob of picking 2 p and 2 s when four letters picked without replacement from hfnpfnsnnfppsp. 6/1001 Three letters picked without replacement from {s: 3, o: 3, p: 5, l: 1}. Give prob of picking 3 s. 1/220 Four letters picked without replacement from {z: 7, m: 6}. Give prob of picking 2 z and 2 m. 63/143 Calculate prob of picking 1 a and 2 f when three letters picked without replacement from {l: 10, a: 2, f: 2}. 1/182 Four letters picked without replacement from rqhtrtrrhhtph. What is prob of picking 1 p, 1 h, and 2 r? 24/715 Two letters picked without replacement from egfuu. What is prob of picking 1 g and 1 e? 1/10 Four letters picked without replacement from {p: 4}. Give prob of picking 4 p. 1 Four letters picked without replacement from fhfzfhhhzzzzkgzzz. Give prob of picking 2 f, 1 h, and 1 k. 3/595 Calculate prob of picking 1 d and 1 a when two letters picked without replacement from dddddaaaaadd. 35/66 Two letters picked without replacement from wwwwwttttwwttwtttww. What is prob of picking 1 w and 1 t? 10/19 Calculate prob of picking 1 a and 2 i when three letters picked without replacement from {u: 1, g: 2, i: 2, o: 1, a: 2}. 1/28 Two letters picked without replacement from {b: 4, l: 3, t: 2, s: 1}. Give prob of picking 1 l and 1 b. 4/15 Three letters picked without replacement from {l: 4, q: 16}. What is prob of picking 3 l? 1/285 Four letters picked without replacement from {d: 1, e: 2, w: 1, c: 11}. Give prob of picking 1 c, 1 e, 1 w, and 1 d. 22/1365 Calculate prob of picking 1 f and 1 u when two letters picked without replacement from uuufuffufuuuuufufuu. 26/57 Calculate prob of picking 3 z when three letters picked without replacement from kzzkzk. 1/20 Two letters picked without replacement from {y: 4, k: 2, r: 1}. Give prob of picking 2 y. 2/7 Four letters picked without replacement from {l: 4, j: 3}. What is prob of picking 3 l and 1 j? 12/35 Two letters picked without replacement from {g: 9, z: 1, m: 1, n: 3}. What is prob of picking 1 m and 1 g? 9/91 Four letters picked without replacement from wgiwpiwgipipiww. Give prob of picking 1 w, 1 p, and 2 g. 1/91 What is prob of picking 1 m and 1 n when two letters picked without replacement from {m: 15, n: 3}? 5/17 Three letters picked without replacement from cllscpspnunn. What is prob of picking 1 n, 1 p, and 1 l? 3/55 Calculate prob of picking 1 a and 2 w when three letters picked without replacement from {w: 7, a: 1}. 3/8 Three letters picked without replacement from {k: 1, f: 1, h: 1, x: 1, c: 1}. Give prob of picking 1 h, 1 f, and 1 k. 1/10 What is prob of picking 1 d, 2 f, and 1 g when four letters picked without replacement from {m: 5, f: 3, w: 6, g: 2, d: 2, q: 1}? 1/323 Calculate prob of picking 1 n, 2 b, and 1 z when four letters picked without replacement from nbifblz. 1/35 Two letters picked without replacement from {t: 3, o: 12, c: 1}. What is prob of picking 2 t? 1/40 Calculate prob of picking 2 l when two letters picked without replacement from ltll. 1/2 Two letters picked without replacement from vqlqqvqvqrwwqwiw. Give prob of picking 1 v and 1 w. 1/10 Three letters picked without replacement from {d: 11, w: 3}. What is prob of picking 2 w and 1 d? 33/364 What is prob of picking 1 f and 1 s when two letters picked without replacement from {f: 1, s: 3, d: 2, k: 1}? 1/7 Three letters picked without replacement from jvbvvjj. Give prob of picking 3 v. 1/35 Four letters picked without replacement from
{ "pile_set_name": "DM Mathematics" }
*u. Let x(q) = 7*q + 13. Let m(l) = -4*l - 7. Let b(t) = -11*m(t) - 6*x(t). Give 16*b(n) - 3*o(n). 2*n + 2 Let t(i) = 5*i**2 + 2*i. Let x(v) = 6*v**2 + 10*v - 1. Let n(q) = -3*t(q) + x(q). Let b(y) = -10*y**2 + 5*y - 1. What is -4*b(f) + 5*n(f)? -5*f**2 - 1 Let x(v) = -12*v + 1. Let m(n) be the third derivative of -11*n**4/24 + n**3/6 - 4*n**2 + 16. Give 7*m(g) - 6*x(g). -5*g + 1 Let i(h) = -h**3 + 2*h**2 - h - 1. Let n(s) = -12*s**3 + 8*s**2 - 5*s - 4. Calculate 4*i(t) - n(t). 8*t**3 + t Let i(a) = 4*a - 4. Let m be 8/(-36) - ((-86)/(-18) - 0). Let z(w) = 254 + 8*w - 129 - 134. Calculate m*i(q) + 2*z(q). -4*q + 2 Let k(x) = -x**2 - x + 1. Let w(r) = 3*r**2 + 6*r - 3. Suppose l - j - 3 + 2 = 0, -4*l - 5*j - 14 = 0. Calculate l*w(p) - 4*k(p). p**2 - 2*p - 1 Let h(o) = -2*o + 5. Let w(n) = 2*n - 5. Let b(g) = g**3 + 9*g**2 + 7*g - 13. Let q be b(-8). What is q*w(l) - 4*h(l)? -2*l + 5 Let h(v) be the third derivative of -v**6/120 + v**5/12 + 5*v**3/6 + 262*v**2. Let x(d) = -4*d**3 + 16*d**2 + 16. Determine 16*h(a) - 5*x(a). 4*a**3 Let w(s) = 0*s**3 + 1 - 2*s**3 - 2*s**3 + 3*s**3. Let b(u) = -5*u**3 + 2. Determine -3*b(m) + 6*w(m). 9*m**3 Let f(j) = 16*j**2 - 2*j - 12. Let x(n) = -5*n**2 + n + 4. Determine 2*f(i) + 7*x(i). -3*i**2 + 3*i + 4 Let l(r) be the third derivative of r**4/3 - r**3/3 + 39*r**2. Let f(d) = -15*d + 5. Give -2*f(c) - 5*l(c). -10*c Let s(i) = -2*i**2 + 34*i - 6. Let v(b) = -4*b**2 + 70*b - 13. What is -9*s(a) + 4*v(a)? 2*a**2 - 26*a + 2 Suppose -10 - 10 = 4*o. Let g(r) = -r + 17. Let j(w) = -2*w + 15. Let n(f) = 5*g(f) - 6*j(f). Let v(y) = -3*y + 2. Give o*v(t) - 2*n(t). t Let k(z) = -4*z**3 - 4*z**2 + 5*z + 6. Let v(r) = 3*r**3 + 4*r**2 - 4*r - 5. Let m be (-45)/(-6)*(-2)/3*1. Give m*k(c) - 6*v(c). 2*c**3 - 4*c**2 - c Let w(o) be the first derivative of -o**3/3 - 2*o + 1. Suppose r + 5*z = -22, 4*z + 24 = 139*r - 143*r. Let d(n) = 3*n**2 + 7. What is r*d(m) - 7*w(m)? m**2 Let o(w) = -518 + 4*w - 3*w + 518. Let d(q) be the third derivative of -q**4/24 + 3*q**2. What is 2*d(i) + o(i)? -i Let w(i) = 6*i**2 - 11*i + 1. Let s(r) = 5*r**2 - 7*r + 1. Calculate 7*s(h) - 5*w(h). 5*h**2 + 6*h + 2 Let l(g) = -273*g**3 - 2*g**2 + 2*g - 2. Let p(x) = -14196*x**3 - 105*x**2 + 105*x - 105. What is -105*l(y) + 2*p(y)? 273*y**3 Let o(a) be the second derivative of -2*a**3/3 - a**2 - 329*a. Let n(v) be the first derivative of -3*v**2/2 - v - 2. Calculate -5*n(p) + 4*o(p). -p - 3 Let d(g) = g + 283. Let s(h) = h. Determine -d(b) + 2*s(b). b - 283 Let q(y) = 11*y**2 - 11*y - 2. Suppose 10*w - 69 = 1. Let h(a) = 5*a**2 - 5*a - 1. Calculate w*h(r) - 3*q(r). 2*r**2 - 2*r - 1 Let d(k) = 2*k**2. Let w(m) = 10*m**2 + m + 11. Determine 4*d(s) - w(s). -2*s**2 - s - 11 Let c(u) = 9*u**2 + 5. Let m(p) = 4*p**2 + 2. Let r be ((-30)/40)/(54/(-336))*-3. Calculate r*m(g) + 6*c(g). -2*g**2 + 2 Let l(a) = 5*a**2 - 2. Let n(p) = -7*p**2 + 3*p + 1. Let u(z) = -8*z**2 + 2*z + 2. Let b(t) = -2*n(t) + 3*u(t). Calculate -4*b(w) - 7*l(w). 5*w**2 - 2 Let t(o) = 11*o - 3 + o**2 - 20 + 2 + 5. Let v be t(-12). Let r(b) = -b**2 - b - 1. Let a(f) = 6*f**2 + f + 4. What is v*r(h) - a(h)? -2*h**2 + 3*h Let p(z) be the second derivative of -z**3/3 + 5*z**2/2 + 6*z. Let l(y) = 3*y - 4. What is 4*l(a) + 3*p(a)? 6*a - 1 Let q(w) = -w**3 - 2*w**2 + w. Let j(h) = -924*h**3 - 2904*h**2 + 1452*h. What is -2*j(x) + 2904*q(x)? -1056*x**3 Let y(f) = -3*f + 0 - f - 2. Let u(a) = a**3 + 7*a**2 + 4*a - 8. Let j be u(-6). Let n(r) = r + 3*r - j*r + r. What is 5*n(q) + y(q)? q - 2 Let f(p) = -4*p - 1. Let r(c) be the second derivative of c**3/2 + c**2/2 + 88*c. What is -4*f(d) - 5*r(d)? d - 1 Let w(t) = -10*t**2 - 19. Let g(n) = -5*n**2 - 9. Let i(f) = 7*g(f) - 3*w(f). Let z(m) = 716*m**2 - 59*m + 5 - 712*m**2 + 59*m. Calculate 5*i(d) + 6*z(d). -d**2 Let d(t) = -t**3 - t**2 + t. Let l(z) = 5*z**3 + 3*z**2 - 40*z - 1. What is 4*d(c) + l(c)? c**3 - c**2 - 36*c - 1 Let n(a) = 3*a + 2*a + a. Let y be (-2)/11 - (-725)/55. Let k(t) be the first derivative of -3*t**2/2 - 21. Give y*k(h) + 6*n(h). -3*h Let h(d) = -6*d + 16. Let n(q) = -7*q + 14. Determine -6*h(j) + 5*n(j). j - 26 Let r = 233 + -158. Let m = r - 78. Let a(s) = 34*s**3 + 14*s**2 - 14*s - 14. Let b(g) = -7*g**3 - 3*g**2 + 3*g + 3. Calculate m*a(w) - 14*b(w). -4*w**3 Let y(i) = 11. Let b(l) = -7*l + 56. What is -b(x) + 6*y(x)? 7*x + 10 Let c(r) = -r**2 + 4*r + 5. Let t(d) = -2*d**2 + 9*d + 11. Suppose 0 = -4*y - 14 + 2. Suppose -112*p + 636 = -148. Determine p*c(k) + y*t(k). -k**2 + k + 2 Let l(k) = -2*k**3 - 4*k**2 - 4*k. Let c(d) = 33*d - 100. Let g be c(3). Let v(j) be the second derivative of j**4/12 + j**3/6 + 4*j. Give g*l(b) - 4*v(b). 2*b**3 Suppose -3*d = 5*h - 4 - 1, -3*d + 3 = 3*h. Let q = 4 + 2. Let k = h - q. Let l(v) = v**2 + 3*v + 2. Let p(u) = u**2 + 2*u + 2. Give k*p(j) + 4*l(j). -j**2 + 2*j - 2 Let f(z) = z**3 + 2*z**2 - 15. Let x(b) = b**3 - b**2 + 1. Calculate f(i) + 2*x(i). 3*i**3 - 13 Let n(i) = 5*i**2 - 2*i + i + 0*i + 4*i - 1. Let s(z) = 26*z**2 + 16*z - 4. Determine 16*n(d) - 3*s(d). 2*d**2 - 4 Let a(b) = 9*b**3 - 4*b + 4. Let s(c) = 119*c**3 - 15*c + 33 - 6*c - 12*c - 47*c**3. Determine -33*a(o) + 4*s(o). -9*o**3 Suppose 6*b - 27 = 21. Let v(i) = -i + 1. Let f(r) = 22*r - 8. Give b*v(s) + f(s). 14*s Let y(b) = -123*b**2 - 8*b - 1. Let g(u) = 122*u**2 + 6*u + 1. Give 4*g(q) + 3*y(q). 119*q**2 + 1 Let r(g) = -11*g**3 + 5*g**2 + 3. Let s(m) = -10*m**3 + 3*m**2 + 4. Determine -3*r(x) + 2*s(x). 13*x**3 - 9*x**2 - 1 Let i be ((-1)/(-3) - 0)/((-99)/(-1782)). Let s(b) = b**3 + 3*b**2. Let l(u) = 13*u**2 + 0 + 16*u**3 - 12*u**3 + 0. Give i*l(t) - 26*s(t). -2*t**3 Let s(c) = -4*c - 5. Let u(p) = p - 2. Let f(k) = 2*k - 7. Let z(b) = f(b) - 3*u(b). What is -s(a) + 2*z(a)? 2*a + 3 Suppose -b = -9 + 7. Let y(m) = -m + 8. Let z be y(5). Let n(g) = -b*g**z + g**3 - 8*g + 2*g - g**3 + 7. Let d(k) = -k + 1. What is 6*d(o) - n(o)? 2*o**3 - 1 Let t(v) = -3*v + 1. Let l(a) = a. Let j(u) = 2*l(u) + t(u). Let m(d) = -7. Let g(x) = -3. Let i(z) = 5*g(z) - 2*m(z). Determine -i(b) + j(b). -b + 2 Let m(q) = -q - 13. Let k(x) = 47746*x - 95496*x + 47751*x + 6. What is 5*k(r) + 3*m(r)? 2*r - 9 Let a(i) = -i**3 - i**2 - 2*i + 1. Let o(m) = -5*m**3 + m**2 + 5*m + 1. Calculate a(h) + o(h). -6*h**3 + 3*h + 2 Let m(v) = -v**2 - v. Let u(w) = 6*w**2 + 16*w + 1. What is 5*m(b) + u(b)? b**2 + 11*b + 1 Let w(b) = -b + 1. Let q(t) = -t. Let n(s) = -10*s + 7. Let i be ((-9)/(-42) - (-6)/21)*4. Let g(y) = i*q(y) - n(y). What is -g(p) - 6*w(p)? -2*p + 1 Let q(l) = 4*l**3 - 1. Let t(v) = 9*v**3 - v**2 + v - 1. Calculate -5*q(a) + 3*t(a). 7*a**3 - 3*a**2 + 3*a + 2 Let n(k) = -2*k + 2. Let a(i) = -35*i - 8. Calculate 2*a(h) + 10*n(h). -90*h + 4 Let j(g) = -g**3 - 7*g**2 + 7*g - 7. Suppose -4*z + 180 = -9*z. Let f = -22 - z. Let d(v) = v**2 - v + 1. What is f*d(x) + 2*j(x)? -2*x**3 Let l(o) = o**2 - 1. Let a(i) be the first derivative of -4*i**3/3 - 7*i + 408. Calculate a(t) - 5*l(t). -9*t**2 - 2 Let x(y) = -135*y**3 - y**2 - 6*y - 4. Let j(z) = -674*z**3 - 5*z**2 - 32*z - 22. What is 2*j(a) - 11*x(a)? 137*a**3 + a**2 + 2*a Let g(v) = 2*v**2 + 8*v + 8. Let l(w) be the second derivative of -w**3/6 - w**2/2 + 19*w + 1. Calculate 3*g(o) + 24*l(o). 6*o**2 Let g(t) = 2*t**3 + 2*t**2 + 2*t. Let u(i) be the first derivative of -i**4 - 5*i**3/3 - 2*i**2 - 308. Determine 5*g(j) + 2*u(j). 2*j**3 + 2*j Let v(g) = -2*g + 12. Let x(y) = 1. Suppose 4*k - 4*j = 12, 0 = 5*k - 12*j + 14*j - 1. Calculate k*v(i) - 10*x(i). -2*i + 2 Let w = -168 - -157. Let a = 0 + -2. Let v(f) = 6*f - 31. Let c(r) = -r + 6. Calculate a*v(t) + w*c(t). -t - 4 Let r = 37 + -28. Let b = r - 0. Let t(d) = 3*d + 6. Let a(o) = 9*o + 11. Let s(x) = -19*x - 21. Let z(g) = 5*a(g) + 2*s(g). What is b*t(y) - 4*z(y)? -y + 2 Let v(x) = x**3 + 5*x**2 + 4. Let r = 4 - -3. Let n(f) = -40499 - f**3 + 4*f**3 + 9*f**2 + 40506. Give r*v(a) - 4*n(a). -5*a**3 - a**2 Let b(s) = -7*s + 4. Let n be (12/(-16))/(-1) + 1/4. Let t be 6*(-1*(2 - 1))/n. Let w(a) = 8*a - 5. Calculate t*b(l) - 5*w(l). 2*l + 1 Let a(p) = 100*p + 97. Let b be a(-1). Let n(v) = 23*v**2. Let z(x) = -24*x**2. Calculate b*z(k) - 4*n(k). -20*k**2 Let l(w) = -4*w**2 + 6. Let r(c) = -1. What is 2*l(u) + 12*r(u)? -8*u**2 Let u(k) = 11. Let d(x) =
{ "pile_set_name": "DM Mathematics" }
*2 + 8*s + 12. Let z be 88/10 - 2/(-10). Is j(z) even? False Suppose 0 = 5*f + 20, 2*f - 4*f = 4*q - 812. Is 9 a factor of q? False Let g(i) = 6*i**2 + 2*i - 1. Suppose -4*l - 4 = 4. Is g(l) a multiple of 9? False Let z = -20 - -38. Is 9 a factor of z? True Let w = -185 + 273. Does 44 divide w? True Let m(i) be the first derivative of -i**4/4 + 3*i**3 - 4*i**2 - 8*i + 3. Does 11 divide m(7)? False Suppose 1710 = -57*g + 62*g. Is 48 a factor of g? False Let h(f) = f**2 - 2*f - 1. Let i(c) = -c + 15. Let q be i(12). Let s be h(q). Does 16 divide s/9 - (-430)/9? True Suppose -3*l + 3 = 3*p, -l - 4*p - 1 = -2. Let g = 1 + l. Suppose 4*r + 0*r - 13 = -z, -52 = -g*z + 5*r. Is 13 a factor of z? False Let i be (-10 + 2)*108/(-16). Let x(p) = 17*p**2 - 2*p - 1. Let j be x(-1). Is 10 a factor of 302/j - (-12)/i? False Let c(s) = -21*s**3 + s**2. Suppose 4 = -5*h - 1. Is 18 a factor of c(h)? False Suppose 2*x + 3*g = -0*x + 67, -2*g - 158 = -5*x. Is 8 a factor of x? True Let i = -12 - -48. Suppose 4*d = 2*d - i. Let c = -13 - d. Is 5 a factor of c? True Let r = 8 - 5. Let m(g) = 6*g - 4. Is 14 a factor of m(r)? True Suppose u = -0*u + 40. Suppose 3*z = u + 8. Is z a multiple of 8? True Let g = 16 - 22. Let v = 28 + g. Is 11 a factor of v? True Let x = 60 - 25. Let z be (1/(-1))/((-2)/24). Let u = x - z. Is u a multiple of 14? False Let i be (6/(-9))/(3/(-54)). Is 25 a factor of 264/i - (-3 - 0)? True Suppose 2*v = -1 + 11. Suppose 43 - 523 = -v*w. Is 32 a factor of w? True Let m(w) = -w**3 - 5*w**2 + 5*w - 2. Let u be m(-6). Let d = -13 - -16. Is 39/4 - d/u a multiple of 5? False Suppose 4*d + 177 + 107 = 0. Let s = 23 - d. Does 34 divide s? False Suppose -4*w + 3*d + 2*d = -216, d = -3*w + 143. Does 37 divide w? False Let x(m) = -m**2 - 8*m - 9. Let r be x(-6). Let b = r + 1. Suppose b*v = -4 + 80. Is 13 a factor of v? False Let t = -39 - -61. Suppose 0 = 4*j + 3*h - 17, -3*j + 5 + 7 = 2*h. Suppose 0*c = j*c - t. Does 5 divide c? False Suppose a = 5*a - 172. Suppose a = t + p - 6, 2*p = -3*t + 150. Does 16 divide t? False Let n = 23 - 15. Let r = n - 4. Suppose r*q = 3 + 37. Does 5 divide q? True Let i be 0 - -12*(-6)/9. Suppose 53 = 4*s - z - 2*z, 0 = 2*z - 2. Let c = i + s. Is c a multiple of 6? True Suppose -7 = z - 11. Suppose 6*c + 3*w - 306 = c, -3*c + z*w + 201 = 0. Is c a multiple of 21? True Let f = 4 + 3. Suppose -f*o = -2*o - 250. Suppose -1 = -3*x + o. Is x a multiple of 6? False Suppose -z + 16 = 4*d, -3*d + z = 4*z - 12. Suppose h - 2*f = 44, 0*h - 3*h = d*f - 112. Is 16 a factor of h? False Let f(h) = 2*h - 6. Let j(o) = -o**3 - 6*o**2 - 2*o - 8. Let g be j(-6). Let t be f(g). Suppose -t*d - 3*l + 99 = 0, 3*l + 2*l = 5*d - 210. Does 15 divide d? True Let c be (-26)/(-7) - 4/(-14). Does 5 divide 108/16 + 1/c? False Suppose -3*t - t = -12. Suppose t*v + 249 = 4*g, -3*g - 2*g = 2*v - 294. Is g a multiple of 16? False Suppose 0 = n - 4*n + 738. Is 32 a factor of n? False Suppose -u + 98 = 6*u. Is u a multiple of 13? False Suppose 3*h - 2*r = -38, 4*r + 4 = -2*h - 0. Is ((-6)/h)/((-6)/(-60)) a multiple of 6? True Is 2 - (-21 - (3 + -5)) a multiple of 7? True Let s(k) = 10*k**2 - k - 1. Suppose 20 = 4*r - 4*u, 5*r - 3 = -3*u - 18. Suppose -2*b + 5*b + 3 = r. Is s(b) a multiple of 6? False Let z = -17 - -47. Is 8 a factor of z? False Suppose -4 = 4*q - 3*q. Let x be (-66)/15 - q/10. Let j = x - -16. Does 6 divide j? True Suppose -12*n + 3*n = -648. Does 12 divide n? True Let f(b) = -b**3 + 3*b**2 + 6*b - 3. Let p be f(4). Suppose 11 = 3*q + 3*w - 2*w, p*q + 4*w - 30 = 0. Suppose -q*o + 145 = 3*o. Does 11 divide o? False Let x(b) = 2*b**3 - 3*b**2 - b. Let t(q) = q**2 - 4*q + 3. Let u be t(4). Is 7 a factor of x(u)? False Let d(p) = p**3 - 2*p**2 + p - 2. Let c be d(3). Let z = -5 + c. Does 2 divide z? False Is 12 a factor of -3*(1/2 + 515/(-30))? False Suppose -6*d - 132 = -10*d. Does 33 divide d? True Let l(q) = -q**2 - 11*q + 20. Is l(-7) a multiple of 4? True Suppose 0 = u + 3*y - 30, -4*u + 66 = -u + y. Let a = u - 15. Is 8 a factor of 10/6*2*a? False Let c(j) be the first derivative of -3*j**2 + j + 3. Is c(-6) a multiple of 17? False Let f = -1 + -2. Is (f + 6)*-1 + 20 a multiple of 17? True Let q = 75 + -10. Is 7 a factor of q? False Suppose -3*s + 17 = -7. Does 3 divide 1/4 + 78/s? False Let a = 98 + -46. Is 13 a factor of a? True Let u(l) = l**3 - 8*l**2 + 7*l + 4. Suppose -4 = -g - 1, -x + 4*g = 5. Let f be u(x). Suppose -101 = -f*c + m, c - 115 = -4*c - m. Does 12 divide c? True Suppose 12 = -4*f - 24. Let z = f + 14. Suppose z*y - 2*k - 273 = 0, 5*k + 1 + 49 = y. Is y a multiple of 15? False Let w = 10 + -5. Suppose w*y = y + 32. Suppose 88 + y = 3*h. Is 16 a factor of h? True Let m = -5 - -10. Suppose -2*g + 4*s = s - 2, m*g = -5*s + 30. Is g a multiple of 4? True Suppose -3*r = -5*b + b - 39, 6 = 2*b. Let t = r - -8. Does 16 divide t? False Suppose -3*f + 43 = -83. Let q = f - 4. Does 19 divide q? True Let r(i) = i**3 + 9*i**2 + 4*i + 6. Let f be r(-7). Suppose -2*v = -f - 20. Suppose 0 = -2*w + v - 14. Does 15 divide w? False Suppose -3*c = 5*d - 2*c + 23, 0 = -5*c + 10. Let q = d - -8. Does 18 divide -10*(q/3 + -3)? False Let g = -3 - -5. Suppose -g*k - 46 = -4*k. Does 6 divide k? False Suppose -7*g - 3*d = -2*g - 29, -2*g = 3*d - 17. Suppose -4*m + 326 = 3*s, -2*m = -0*m + 2*s - 164. Is 10 a factor of ((-1)/(-1))/(g/m)? True Let r be 2/(-5) - 17/(-5). Let z be r/4 + (-57)/12. Let k = 19 - z. Is k a multiple of 14? False Suppose 0 = j + 3*f - 26, j + 42 = 3*j + f. Is 20 a factor of j? True Let i(a) = -a**3 - 6*a**2 - 7*a - 5. Let d(o) = o + 6. Let s be d(-11). Does 2 divide i(s)? False Let t = -2 + 6. Let f be (-1)/(2/(0 + -2)). Let i = t - f. Is i a multiple of 3? True Suppose 0 = -4*c + 8, -4*q + 140 + 78 = -5*c. Is q a multiple of 13? False Let d = -38 - -17. Is (d/(-12))/((-2)/(-8)) a multiple of 6? False Let g(j) = -j**3 - 9*j**2 - 2*j - 9. Let m be g(-9). Is (1 - 2)*-1*m a multiple of 3? True Suppose 2*p - 572 = -5*i, -2*i + 0*i + 229 = p. Is i a multiple of 13? False Is 3 - (-7)/(7/8) a multiple of 11? True Let k = -24 - -15. Let r = -6 - k. Does 2 divide r? False Let t be (-2)/(-4) - 3/(-2). Let w(i) = -i**2 + i. Let m be w(t). Is m - -2 - -1*26 a multiple of 13? True Let g be -2 - (-1 + 2)*-13. Suppose 2 = -v + g. Is v a multiple of 9? True Suppose -73 = -7*s + 18. Does 13 divide s? True Let d(o) = o**3 - 8*o**2 + 4*o + 4. Let r be d(8). Let j = r - 8. Does 7 divide j? True Let l = 51 + -1. Is l a multiple of 28? False Let o = -10 - -13. Suppose 0 = 2*l + o*l - 160. Is l a multiple of 13? False Let a(s) = 5*s + 0*s - 3*s - 11. Let r be a(8). Suppose -4*x + 74 - 10 = r*f, -5*x + 75 = 5*f. Is x a multiple of 6? False Suppose p + 5*v = -41, p - v = -0*p - 35. Let f = 65 + p. Is 8 a factor of f? False Let z(v) be the second derivative of -v**5/20 - v**4/4 + v**3/6 + 2*v**2 + v. Let j be z(-4). Let q = 28 - j. Is 6 a factor of q? True Let n = -299 + 179. Let k = -53 - n. Does 23 divide k? False Suppose 6*d = 10*d - 80. Is 4 a factor of d? True Suppose 3*w - 82 = 5*z, -4*w + 2*z = -0*z - 128. Is w a multiple of 7? False Is 10 a factor of ((-88)/(-24))/(1/12)? False Let n(y) = y**3 + 11*y**2 + 10*y. Is 28 a factor of n(-8)? True Let x(h) = -h**2 - h - 1. Let l(p) = 3*p + 4. Let z(t) = l(t) + 3*x(t). Let m be z(-4). Let u = -27 - m. Does 10 divide u? True Suppose 3*d + 5*g - 11 = 4, -3*d + 15 = g. Let w be 77/d + 2/(-5). Let m = w - -9. Is m a multiple of 15? False Suppose 0*l + l = -5*t + 16, 0 = 4*l - t - 1. Is 3 a factor of 3 + (0 - l - -2)? False Let v(x) = 1 - 6*x - 5 + x**2 + x. Is v(9) a multiple of 24? False Let z be 3 - (-1)/(2 + -3). Suppose -2*v + 64 = 3*j, 2*v + 0 = -2. Suppose 2*t + z*m = 24, -t - m + j = 2*m. Is t a multiple of 7? True Let m(n) = 26*n**2 + 1. Let k(r) = r**2 - 10*r + 10. Suppose -3*l - 45 = -8*l. Let z be k(l). Does 15 divide m(z)? False Let v = -6 - -8. Let a be (1/v)/((-3)/6). Does 5 divide -10*((-1)/(-2))/a? True Suppose -5*i - 3*q + 1 = 0, -i = 2*i + q + 1. Is 27 a factor of (-30 + 3)/i*1? True Let x = 7 - 4. Suppose -5*d = 3*t - 53, -3*t - 2*d + x*d + 29 = 0. Does 3 divide t? False Suppose -30 = -2*l + 5*l. Let t = 7 + l. Is 15/(2 - t/(-6)) a multiple of 7? False Suppose 70 = -0*q + 5*q.
{ "pile_set_name": "DM Mathematics" }
1416/13 + -13955. Which is the fourth biggest value? (a) -3 (b) g (c) q (d) -1 a Let i = -7.5 - -168.5. Let k = i + -90. Let z = k + -71.5. What is the smallest value in z, -3/2, -1/8? -3/2 Let p = -1 + 4. Let r = -354 + 354. Which is the second biggest value? (a) p (b) -0.2 (c) 0.107 (d) r c Let p = 80/13 + -422/39. Let x = -148/33 - p. What is the third biggest value in x, -2/11, -2/3, 21? -2/11 Let g(u) = 3*u**3 - 89*u**2 - 29*u - 32. Let z be g(30). Which is the second smallest value? (a) -1.1 (b) 0.35 (c) z a Let v = 30 - 150. Let g = -122 - v. Which is the third biggest value? (a) 1 (b) g (c) -3 c Let v = 204 + -198. Let z = v - 6.1. What is the second smallest value in 5, 2/15, z? 2/15 Let f be 28/(-12) - (-12)/(-18). Which is the fifth smallest value? (a) 0.3 (b) 1/3 (c) f (d) -6 (e) 0.11 b Let m = 29259 + -28936. What is the fourth biggest value in -3, 3, m, 1? -3 Let i be (5/(-10 + 25))/(12/9). Which is the smallest value? (a) i (b) 1/2 (c) 37 a Let x(z) = 11*z**2 - 26*z + 74. Let k be x(3). What is the third smallest value in k, -4, -2, 0, 5? 0 Suppose 65*g - 46*g = 38*g - 57. Which is the second biggest value? (a) g (b) 5 (c) 3/493 a Let z = 503481823223/8106 + -62112241. Let u = -1/1158 - z. Which is the smallest value? (a) -5 (b) u (c) 4 (d) -1 a Let l = 0.686 - 48.986. Let u = 49 + l. Let d = -3.7 + u. What is the second smallest value in -5, -0.1, d? d Let f = -8051.3 - -8051. Which is the biggest value? (a) 0.4 (b) f (c) -0.1 (d) -24/119 a Let l = -6312.44 - -6312. What is the smallest value in 1/17, 1, l? l Let u be -1*(0 + 1)*2. Let t = -0.304 + -7.396. Let a = 1.7 + t. What is the biggest value in a, u, 4, 3? 4 Let s be 1250/125 + (-86)/9. What is the fourth smallest value in 3, 143, s, 2/3? 143 Let n be -1 - 26/(-20) - (242/(-110) - -2). Which is the smallest value? (a) n (b) -0.5 (c) -10.34 (d) -3 c Let n = -34/63 - -16/21. What is the third biggest value in n, -0.34, -3? -3 Let m = 13.11 + -1.61. Let x = -9.5 - m. Which is the biggest value? (a) x (b) 2 (c) -4 b Let t = 63301 + -63306. Let y = 1234 - 3797/3. Which is the biggest value? (a) 1/8 (b) t (c) y a Suppose -18 = -8*j - 18. Let u = j - -18. Let n be (-1)/(-3) - u/27. Which is the third biggest value? (a) -19 (b) -2 (c) -0.3 (d) n b Let j = 39743 - 117520/3. Let q = j + -569. Let m = -4 - -7. What is the fourth smallest value in q, 6, -3, m? 6 Let q = 2242 - 2263. What is the third smallest value in -0.5, q, -3? -0.5 Suppose 8*t - 3852 = -3828. Which is the smallest value? (a) t (b) 10 (c) -13 c Let w = 46.1 + -45.7. Let o = 0.425 + -18.525. Let k = -18 - o. Which is the smallest value? (a) w (b) k (c) -6 c Let s = -6.6155 - -0.6155. Which is the biggest value? (a) 42 (b) -0.3 (c) -3 (d) s (e) -2 a Let y(i) = i**2 + 6*i + 4. Let b be y(-4). Suppose -5*r = -4*u + 22, -5*r - 7 - 12 = -3*u. Let c = -628 - -628.5. What is the third biggest value in c, 1, b, u? c Let i = 5358 + -5361. What is the biggest value in -4, i, -0.0719, -0.5, 0.1? 0.1 Let g = -44 + -128. Let r = g - -177. Which is the fourth smallest value? (a) -2/21 (b) r (c) 0 (d) 4 b Let u = -0.00499 - 15.99501. What is the third smallest value in u, 5, -23? 5 Let v = -220.5928 + 0.1928. Let s = -220 - v. Which is the biggest value? (a) 3 (b) -0.5 (c) -9 (d) s a Let s = -3.072 - 106.928. Which is the smallest value? (a) 0 (b) 0.1 (c) -2 (d) s d Let z = 2 - 4. Let w = -51134 + 51133. Let m = -0.11 + -3.89. Which is the smallest value? (a) z (b) m (c) w b Let z = -6555.57 + 6509.6157. Let d = -0.0457 + z. Which is the third smallest value? (a) 1 (b) d (c) 3 c Let p = 921/2 - 460. Which is the third biggest value? (a) 4 (b) p (c) 0.9 (d) 0.4 (e) -5 b Let d = 0.2978 - 1.5308. Let a = d - -0.233. What is the second smallest value in 1, 1/4, a? 1/4 Let r = -486 - -9236/19. Let x(i) = 1617*i**2 + 17793*i + 67. Let u be x(-11). Which is the smallest value? (a) u (b) -2/33 (c) r b Let w = -5 + 3. Let x = -1548/143 + 136/13. What is the third biggest value in -0.2, x, w? w Let r be ((-12)/(-6))/(0 - 30/(-35)*-7). Let k = -4.1 + -0.9. Which is the biggest value? (a) r (b) k (c) 3 (d) -7 c Let m be ((-20)/130 + 134/364)/(15/(-6)). Which is the smallest value? (a) -3/2 (b) -2/19 (c) m a Let o = -6546 - -6542. Which is the third smallest value? (a) o (b) 173/3 (c) 4 b Let t be (-17303)/165 + (-2)/15. Let n be (-4)/(-10) + 847/t + 7. Let m = -0.02 + 0.22. Which is the smallest value? (a) m (b) n (c) 2/9 b Let p = -7579.1 + 7579. Which is the smallest value? (a) -1 (b) p (c) -0.3 (d) 16 a Let w = 412 - 411.6. What is the smallest value in -4, w, -382? -382 Let s = -485/264 - 26/33. Let n = 129/40 + s. Let c be (2/20)/((-8)/32). What is the third biggest value in -3, c, n? -3 Suppose 2*n - 3*l = 9, 2*n + 4*l - 103 = -101. Which is the third smallest value? (a) 2/33 (b) 248 (c) n (d) -0.1 c Suppose -5*c + 589 = 539. Let r be (25/(1000/(-48)))/(3/c). What is the third smallest value in 5, 3, 8, r? 5 Let z = 0.4836 - 0.4136. What is the third smallest value in 5, z, 25? 25 Let w = 566 - 599. Which is the second biggest value? (a) w (b) -1/9 (c) -4 c Let h = 1576.7 + -1577. What is the smallest value in h, -13, 1/27? -13 Let p = -68779/5 - -13756. Which is the third smallest value? (a) p (b) 3 (c) 1/111 b Let l = 5110 - 5110. Which is the second biggest value? (a) -1/15 (b) 6 (c) 0.4 (d) -5 (e) l c Let l = -1072/7 + 1074/7. Which is the fifth smallest value? (a) -2 (b) -1 (c) -22/5 (d) l (e) -4 d Let a = 1046.77 + -1121.8. Let f = 75 + a. What is the third smallest value in -1/5, 0, f? 0 Let u = 9491/11 + -863. Which is the third smallest value? (a) -4/127 (b) -2/5 (c) u a Let s = 18462.6 - 18463. Let c = 1 + 14. Let a = 23 - c. What is the biggest value in -1, s, a? a Let x(v) = -4*v + 74. Let m be x(12). Suppose 18 = m*o - 23*o. What is the second biggest value in -0.3, -2/9, o? -2/9 Let i = -7.6 + 7.736. Let m = i - 0.036. Let v = -30 + 86/3. Which is the third smallest value? (a) v (b) m (c) 3 c Let l(u) = -133*u + 68. Let g be l(-4). Let v = 3002/5 - g. What is the third smallest value in v, 5, 2/9, 1? 1 Suppose 0 = -18*o + 489 - 363. What is the third biggest value in o, -2/17, 48, 2/3? 2/3 Suppose -3*l + 12 = 3*v, 14*l - 12*l + 7 = 3*v. Which is the fourth biggest value? (a) -2/7 (b) 0.5 (c) 265 (d) l a Let c = -31234.3 - -31234. Let m = -240.04 - -244. Let p = -0.04 - m. What is the third smallest value in p, -0.5, c? c Let z = -0.1 + -19.9. Let r = -154 - -153.6. Which is the second smallest value? (a) -2 (b) 0.2 (c) z (d) r a Let f = -1525190585/980421 - -1507/452502. Let o = f + 3111/2. Let w = 1/117 - o. Which is the biggest value? (a) 1/7 (b) w (c) 0.5 c Let l = 1627.9 - 1628.4. Let s = -1/381 - -593/127. What is the third smallest value in s, 2, l? s Let v be 3 + -21*50/5. What is the third biggest value in -1/2, v, 2/11? v Suppose -16*m - 208 = -42*m. What is the smallest value in -4, 2, m, -3? -4 Let v = 12.82 + 0.18. Let m = -2.27 - -1.77. Which is the second biggest value? (a) m (b) 3 (c) 5 (d) v c Let n = 30.0976 - 0.0976. Let y = 0.039 + -0.239. Which is the second biggest value? (a) n (b) y (c) 0.1 c Let j = -131 + 127.94. Let d = j + -1.94. Let i(h) = h**3 - 10*h**2 + 10*h - 4. Let c be i(9). What is the third smallest value in c, 1/8, d, -0.1? 1/8 Let n = 1877.1 - 1877. Let x be (3/6)/(15/6). Which is the biggest value? (a) -5 (b) n (c) x c Let d(s) = s**3 - 2*s**2 - 10*s + 12. Let w(u) = 7*u + 25. Let p be w(-3). Let o be d(p). Which is the biggest value? (a) 0 (b) 2 (c) o c Let b = -15.129 - -15.2. Let i = -8.071 + b. Let h = -0.6 + 0.1. What is the biggest value in h, i, 2/5? 2/5 Let n = -10.771 + 15.771. Which is the fourth biggest value? (a) -2/21 (b) -28 (c) -0.2 (d) n b Let y = -0.024 + 0.224. Let k = 465 + -925/2. What is the smallest value in k, y, 0.4? y Let r(v) = -2*v**3 - 18*v**2 + 17*v - 27. Let n be r(-10). What is the biggest value in -0.4, 388, 1/4, n? 388 Let y = -3.6653 + 0.6653. Which is the fourth smallest value? (a) -2 (b) -12/35 (c) y (d) -0.01 d Suppose 0*o - 5*o = 5. Let c be ((-2)/(-4))/(o/6). Let r be (-21 - (-46 - -2
{ "pile_set_name": "DM Mathematics" }
09, -20386, -25463? -5077*j - 78 What is the v'th term of -45, -180, -405, -714, -1101, -1560? v**3 - 51*v**2 + 11*v - 6 What is the s'th term of 14, 92, 242, 476, 806, 1244? 2*s**3 + 24*s**2 - 8*s - 4 What is the v'th term of 1159892, 2319795, 3479700, 4639607? v**2 + 1159900*v - 9 What is the n'th term of -4244, -16969, -38178, -67871, -106048, -152709? -4242*n**2 + n - 3 What is the r'th term of -59, -111, -121, -59, 105? 5*r**3 - 9*r**2 - 60*r + 5 What is the h'th term of 88, 424, 988, 1774, 2776, 3988? -h**3 + 120*h**2 - 17*h - 14 What is the l'th term of -698050, -1396099, -2094148, -2792197? -698049*l - 1 What is the j'th term of 6069, 6054, 6039? -15*j + 6084 What is the s'th term of -280377, -280375, -280373, -280371, -280369? 2*s - 280379 What is the v'th term of -12112, -24271, -36430, -48589, -60748, -72907? -12159*v + 47 What is the s'th term of 6017, 11978, 17869, 23684, 29417? -s**3 - 29*s**2 + 6055*s - 8 What is the x'th term of 179915, 359829, 539743, 719657? 179914*x + 1 What is the x'th term of -17701, -35403, -53103, -70801, -88497, -106191? x**2 - 17705*x + 3 What is the y'th term of -368, -1906, -4614, -8486, -13516, -19698, -27026? y**3 - 591*y**2 + 228*y - 6 What is the i'th term of -4233, -8455, -12671, -16881, -21085, -25283? 3*i**2 - 4231*i - 5 What is the z'th term of -8176, -16330, -24484, -32638? -8154*z - 22 What is the a'th term of -184, -370, -568, -784, -1024, -1294, -1600? -a**3 - 179*a - 4 What is the v'th term of -906, -3727, -8438, -15045, -23554, -33971, -46302, -60553? -v**3 - 939*v**2 + 3*v + 31 What is the j'th term of -4030572, -4030569, -4030564, -4030557, -4030548? j**2 - 4030573 What is the j'th term of -939, -3864, -8727, -15516, -24219, -34824, -47319? 2*j**3 - 981*j**2 + 4*j + 36 What is the g'th term of 925, 1886, 2885, 3922, 4997, 6110? 19*g**2 + 904*g + 2 What is the j'th term of -20, -97, -318, -755, -1480? -12*j**3 + 7*j - 15 What is the o'th term of -73, -478, -1593, -3772, -7369, -12738, -20233? -59*o**3 - o**2 + 11*o - 24 What is the z'th term of 24559, 49202, 73845, 98488, 123131, 147774? 24643*z - 84 What is the c'th term of -241, -384, -759, -1480, -2661, -4416, -6859, -10104? -19*c**3 - 2*c**2 - 4*c - 216 What is the j'th term of 2847, 2027, 1207, 387, -433? -820*j + 3667 What is the t'th term of -270, -242, -240, -276, -362, -510? -2*t**3 - t**2 + 45*t - 312 What is the p'th term of -4424, -8856, -13288, -17720, -22152? -4432*p + 8 What is the v'th term of -1621, -6463, -14531, -25825? -1613*v**2 - 3*v - 5 What is the v'th term of -4796, -9518, -14240? -4722*v - 74 What is the k'th term of 77, -319, -1665, -4435, -9103, -16143, -26029? -79*k**3 - k**2 + 160*k - 3 What is the d'th term of 1973, 1890, 1815, 1748, 1689, 1638? 4*d**2 - 95*d + 2064 What is the h'th term of -12189, -48812, -109855, -195318? -12210*h**2 + 7*h + 14 What is the u'th term of 124, 530, 1196, 2116, 3284, 4694, 6340? -u**3 + 136*u**2 + 5*u - 16 What is the a'th term of -554, -724, -998, -1370, -1834, -2384, -3014, -3718? a**3 - 58*a**2 - 3*a - 494 What is the t'th term of -31, -109, -227, -385, -583, -821, -1099? -20*t**2 - 18*t + 7 What is the w'th term of 695, 4644, 11225, 20438? 1316*w**2 + w - 622 What is the h'th term of -120603, -482407, -1085413, -1929621, -3015031? -120601*h**2 - h - 1 What is the j'th term of 60, -10, -148, -360, -652, -1030, -1500, -2068? -j**3 - 28*j**2 + 21*j + 68 What is the t'th term of -210, -353, -478, -585, -674, -745? 9*t**2 - 170*t - 49 What is the g'th term of -6578, -6588, -6620, -6686, -6798? -2*g**3 + g**2 + g - 6578 What is the g'th term of -166, -644, -1380, -2380, -3650, -5196, -7024, -9140? -g**3 - 123*g**2 - 102*g + 60 What is the c'th term of 189, 234, 369, 642, 1101, 1794, 2769, 4074? 8*c**3 - 3*c**2 - 2*c + 186 What is the r'th term of -7148, -7148, -7158, -7184, -7232, -7308? -r**3 + r**2 + 4*r - 7152 What is the i'th term of -18861, -37694, -56515, -75318, -94097, -112846? i**3 - 18840*i - 22 What is the s'th term of -31673, -63416, -95159, -126902? -31743*s + 70 What is the q'th term of -27, -263, -941, -2283, -4511, -7847? -37*q**3 + q**2 + 20*q - 11 What is the z'th term of -356261, -712522, -1068787, -1425056, -1781329, -2137606? -2*z**2 - 356255*z - 4 What is the i'th term of -1759, -1740, -1721, -1702, -1683, -1664? 19*i - 1778 What is the i'th term of 483973, 483969, 483963, 483955, 483945, 483933, 483919? -i**2 - i + 483975 What is the z'th term of 767, 1495, 2223, 2951? 728*z + 39 What is the b'th term of 147, 134, 133, 144? 6*b**2 - 31*b + 172 What is the h'th term of -188, -364, -514, -638, -736, -808, -854? 13*h**2 - 215*h + 14 What is the f'th term of -383, -876, -1369? -493*f + 110 What is the b'th term of -279, 162, 1189, 3096, 6177, 10726, 17037, 25404? 49*b**3 - b**2 + 101*b - 428 What is the p'th term of -700, -747, -806, -877, -960, -1055? -6*p**2 - 29*p - 665 What is the p'th term of -1691, -1736, -1781, -1826, -1871? -45*p - 1646 What is the x'th term of -2737, -3706, -4675, -5644, -6613, -7582? -969*x - 1768 What is the t'th term of 495, 522, 567, 630, 711, 810, 927? 9*t**2 + 486 What is the c'th term of 741, 757, 779, 807, 841, 881? 3*c**2 + 7*c + 731 What is the a'th term of -1121, -1126, -1125, -1112, -1081, -1026, -941? a**3 - 3*a**2 - 3*a - 1116 What is the k'th term of 532, 2017, 4490, 7951, 12400? 494*k**2 + 3*k + 35 What is the g'th term of -295261, -295260, -295261, -295264, -295269? -g**2 + 4*g - 295264 What is the g'th term of 4845, 4736, 4629, 4524, 4421, 4320? g**2 - 112*g + 4956 What is the l'th term of 4064, 8129, 12198, 16271, 20348, 24429? 2*l**2 + 4059*l + 3 What is the g'th term of 810, 2768, 4726? 1958*g - 1148 What is the r'th term of 9, 53, 101, 153? 2*r**2 + 38*r - 31 What is the m'th term of 19783, 79157, 178123, 316687, 494855, 712633? m**3 + 19790*m**2 - 3*m - 5 What is the y'th term of -1108, -1124, -1142, -1162, -1184, -1208? -y**2 - 13*y - 1094 What is the s'th term of 6483, 6494, 6509, 6528? 2*s**2 + 5*s + 6476 What is the r'th term of 28064, 56131, 84198, 112265, 140332? 28067*r - 3 What is the s'th term of 1414, 1410, 1406, 1402, 1398? -4*s + 1418 What is the s'th term of 3364, 6786, 10260, 13780, 17340, 20934, 24556? -s**3 + 32*s**2 + 3333*s What is the u'th term of -17263, -17360, -17445, -17512, -17555, -17568? u**3 - 104*u - 17160 What is the x'th term of 68263, 68268, 68273, 68278, 68283, 68288? 5*x + 68258 What is the d'th term of -1187, -4903, -11097, -19769, -30919, -44547, -60653? -1239*d**2 + d + 51 What is the q'th term of -55341, -110684, -166027, -221370, -276713, -332056? -55343*q + 2 What is the c'th term of 472, 3779, 9290, 17005? 1102*c**2 + c - 631 What is the p'th term of -27, -41, -55, -69, -83, -97? -14*p - 13 What is the i'th term of -4773, -4810, -4879, -4986, -5137? -i**3 - 10*i**2 - 4762 What is the u'th term of 7822, 7809, 7796? -13*u + 7835 What is the u'th term of -456117, -456118, -456119, -456120, -456121? -u - 456116 What is the w'th term of -1246, -4997, -11240, -19969, -31178, -44861? w**3 - 1252*w**2 - 2*w + 7 What is the q'th term of -1633, -1264, -885, -490, -73, 372, 851? q**3 - q**2 + 365*q - 1998 What is the w'th term of 11873, 47495, 106873, 190013, 296921? w**3 + 11872*w**2 - w + 1 What is the p'th term of 4845, 9629, 14413, 19197? 4784*p + 61 What is the b'th term of 10226, 10211, 10196, 10181? -15*b + 10241 What is the s'th term of -1053, -1848, -2639, -3426, -4209, -4988, -5763? 2*s**2 - 801*s - 254 What is the r'th term of 33340, 33347, 33360, 33379, 33404? 3*r**2 - 2*r + 33339 What is the z'th term of 8196, 32827, 73878, 131349, 205240? 8210*z**2 + z - 15 What is the a'th term of 3, -95, -307, -633? -57*a**2 + 73*a - 13 What is the l'th term of 36, 13, -22, -75, -152? -l**3 - 16*l + 53 What is the i'th term of 1449892, 1449898, 1449906, 1449916, 1449928? i**2 + 3*i + 1449888 What is the b'th term of -8627, -35070, -79141, -140840, -220167, -317122? -8814*b**2 - b + 188 What is the t'th term of -225605, -225601, -225597, -225593? 4*t - 225609 What is the k'th term of -30208, -30202, -30186, -30154, -30100, -30018, -29902, -29746? k**3 - k**2 + 2*k - 30210 What is the p'th term of -3981535, -7963073, -11944613, -15926155, -19907699? -p**2 - 3981535*p + 1 What is
{ "pile_set_name": "DM Mathematics" }
assuming j is positive. j**(439/28) Simplify (x**(-3/7))**(2/15)*x**(-3/17)*x**24 assuming x is positive. x**(14141/595) Simplify (x**(3/4)/x**(-2)*(x*x**5)/(((x/(x/(x*x**4)))/x)/x))**44 assuming x is positive. x**253 Simplify (((y**(-5)*y)/(((y*y**(8/5)/y)/y)/y))/(y**3)**(-2/113))**(-16) assuming y is positive. y**(32064/565) Simplify (o**(2/21))**(-11)/((o**(-2/29)/o)/(o/o**13)) assuming o is positive. o**(-7295/609) Simplify (a/(a*a**5))**25*a**18*a**13 assuming a is positive. a**(-94) Simplify (k**(-3)/(k*k/k**(-1/6))*k**(-2/5)/k**(1/3))**(-4/19) assuming k is positive. k**(118/95) Simplify (k/k**3*k**(-17))/((k*(k**7/k)/k)/((k/k**(-9))/k)) assuming k is positive. k**(-16) Simplify (v*v**(-7)*(v/(v*(v*v**(2/19)*v)/v*v*v))/v*v*(v/((v**0*v)/v))**(-38))**5 assuming v is positive. v**(-4475/19) Simplify ((y**(-1/3)/y)/(y**(-1)/y)*y**(-1/2)/(y**0/y))**(-31) assuming y is positive. y**(-217/6) Simplify ((v**(-8)/v*v/(v/(v**1/v)*v))/(v**(-2/21)/(v*v**8)))**(-6) assuming v is positive. v**(38/7) Simplify (d*d*d/(d*d**(4/5)*d))/(d/(d/(d/(((d*d**0)/d)/d))))*d**(-1/3)/(d*d*d**(-1/33)/d*d) assuming d is positive. d**(-677/165) Simplify (n**(5/2)/n*n/(((n*n/(n/n**(11/2))*n)/n)/n))**(-43) assuming n is positive. n**129 Simplify (n*n**(-1/4)*n*n/(n**(-3)/n)*(n/n**(-1/2))/((n**(-3)/n)/n))**(-1/3) assuming n is positive. n**(-53/12) Simplify (((u/(u/(u*u**(-20)))*u*u)/(u/u**1))**(3/5))**(21/4) assuming u is positive. u**(-1071/20) Simplify (x*x**(-2/7)*x**(2/7)*x*(x*x/((x/x**(1/7))/x))/x*(x*x*(((x**(1/5)/x)/x)/x)/x)/x)**18 assuming x is positive. x**(216/35) Simplify v**(-9)/v**(-1/11)*(v**(-4)*v)/(v/(v/((v*v/(v**7*v))/v*v))*v) assuming v is positive. v**(-76/11) Simplify (j**(-11/2)/j*j*j*j*j**(-2/29))/(j/(j*j/(j*(j*j*j/((j**(-24)/j)/j))/j*j))*j**0) assuming j is positive. j**(-1889/58) Simplify (w*w/w**(-10/7))/w**(-1/8)*(w**(-4))**(-5/4) assuming w is positive. w**(479/56) Simplify (o/o**(-12)*o*o**2)**(-2/3) assuming o is positive. o**(-32/3) Simplify t**9*t*t**22*t*t**(1/3)/((t*(t**(-2/33)*t*t*t*t)/t*t*t)/t) assuming t is positive. t**(937/33) Simplify ((i**(2/19)*i)/i*i/(i*i**(-12))*i*i)/(i/(i**(-6/5)*i)*i)**44 assuming i is positive. i**(-7856/95) Simplify ((j**(-35)/j)/j*j**(-14/5)/j)/(j**(-20/9))**(7/3) assuming j is positive. j**(-4808/135) Simplify (p**(-8/11)/p**(-15))/((p**(-3)/p)/p**(4/3)) assuming p is positive. p**(647/33) Simplify (t**2*t**(-3)/t*(t*t**6/t*t*t)/(t/t**(2/7)*t))**(4/13) assuming t is positive. t**(120/91) Simplify ((c**27*c)**(-15))**7 assuming c is positive. c**(-2940) Simplify (f**(-5/2)*(f/f**(-5/4))/f*f*f)/(f**(1/2)*f/(f/(f*(f**(3/5)*f)/f*f*f*f*f*f))) assuming f is positive. f**(-127/20) Simplify (l/(l**1*l))**(-28)/((l*l*(l*l**21)/l)/l**(4/7)) assuming l is positive. l**(39/7) Simplify (((x/(((((x**(-1/4)/x)/x)/x)/x)/x))/x)**(-2/49)*(x*(x*x**2*x)/x*x*x)**(2/41))**26 assuming x is positive. x**(585/287) Simplify ((l/l**(5/2))/l)**(1/13)/((l/(l**3/l))/(l**(-4)/l)) assuming l is positive. l**(-109/26) Simplify ((r*r/r**19)/(r*r**(-10)/r))/(r*r**(-7/2))**0 assuming r is positive. r**(-7) Simplify (k**10*k**(-8))**(6/23) assuming k is positive. k**(12/23) Simplify (i**4)**41/(i**6)**49 assuming i is positive. i**(-130) Simplify (((b**(2/5))**(-2))**(-48))**(-21) assuming b is positive. b**(-4032/5) Simplify (i**(-1/2)/i)**(-26)/((i*i/i**(2/39))/i**(-3/10)) assuming i is positive. i**(14333/390) Simplify (((((h**8*h)/h*h*h)/h)/((h**(-9)*h*h)/h))**(10/11))**23 assuming h is positive. h**(3910/11) Simplify ((m*(m*m**(-9)*m)/m)/m*m*m*m**(-3/4)*m*(m*m**10*m)/(m**(-1)/m))**(3/2) assuming m is positive. m**(99/8) Simplify (g/(g*g*g**(-17)/g)*g)/(g*g/(g/(g*g*g*g*g**(-9/2)))*g*g)*(g*g/g**0)**(3/2) assuming g is positive. g**(37/2) Simplify s**14*s*s**17*(s**(-1/2)*s)/s*s/((s*s**(1/22)*s*s)/s) assuming s is positive. s**(335/11) Simplify (w*w*(w/w**(-9)*w)/w*w)/(w**(-9/4)*w)*(w**0)**25 assuming w is positive. w**(57/4) Simplify (t**(-5))**(7/10)/(t*t**(-7)*t**(-11/5)) assuming t is positive. t**(47/10) Simplify ((m/(m**(-2/11)/m))/m*m*m*m**(-2))**7 assuming m is positive. m**(91/11) Simplify (f/((f*f*f**3*f)/f))**35/(f/((f/f**(7/3))/f)*(f**1/f)/f) assuming f is positive. f**(-427/3) Simplify (u/(u*u*u*u**(1/9)/u)*u**(4/3)/u)**(-40) assuming u is positive. u**(280/9) Simplify (j*j*(j**(-8)/j)/j*j**4*j*j/((j**(2/11)*j*j)/j)*j**(-2/9)/j)**(-19) assuming j is positive. j**(8284/99) Simplify r/(r**21/r*r)*r**(-18/5)*(r/r**(-14/5))/(r/r**15) assuming r is positive. r**(-29/5) Simplify (f**(-7/6)/f*f*f**(-1/3))**(20/11) assuming f is positive. f**(-30/11) Simplify (o/(o*o*o**(-20/11)*o)*o**(1/16)*o*o)**(-2/13) assuming o is positive. o**(-331/1144) Simplify ((l**(2/15)*l/(l**(2/15)/l))**(2/77))**(3/11) assuming l is positive. l**(12/847) Simplify (l**(-1)*l)**5/(l/(l/(l*l**0))*l*l*l**(-2/23)/l) assuming l is positive. l**(-44/23) Simplify ((d*d**5)/d**14)/(d**(4/3)*d**(8/5)) assuming d is positive. d**(-164/15) Simplify (d/(d/d**(-1/6)))**(-38)*d**(1/9)*d**(-1) assuming d is positive. d**(49/9) Simplify (y**(-3))**(3/16)*y**(-1/10)/(y/(y*y*y**(-1/17)*y)) assuming y is positive. y**(1739/1360) Simplify ((i/(i*i**(-32)/i*i)*i)**(-18))**(24/5) assuming i is positive. i**(-14256/5) Simplify (r**(3/11))**(-1/2)/((r/r**(-1/5)*r*r*r)/(r*r*r/(r/(r/(r/r**6)*r)*r)*r)) assuming r is positive. r**(513/110) Simplify v**(5/4)/v*v*v**(-3/2)*(v*v**(-1/2))/(v/v**(2/11)) assuming v is positive. v**(-25/44) Simplify (t*t**(-10/7)*t**(5/7)*t)/(t**(-3)*t/(t*t**(-14))) assuming t is positive. t**(-68/7) Simplify ((g/g**(1/6))/(g**(1/11)*g)*g**(-1/4)/g**(2/13))**(-9/10) assuming g is positive. g**(681/1144) Simplify ((q*q/q**1)**0/((q**4/q)/q*q/q**(1/4)))**(-48) assuming q is positive. q**132 Simplify (y**(-1/4))**(3/5)/(y/(y**0/y*y))**(2/3) assuming y is positive. y**(-49/60) Simplify (o**(1/4)*o**22/o)/(o*o**(-2/33)*o/(o**(-4)/o)) assuming o is positive. o**(1889/132) Simplify r**(2/9)*(r*(r**(-12)/r)/r)/r*((r**(2/11)*r)/r*r)**(-10/7) assuming r is positive. r**(-10718/693) Simplify (q**(-1/3)/q)**1*q**(-1/3)*q**(1/2) assuming q is positive. q**(-7/6) Simplify (((x*x**12)/x**(-9/4))**(-3/38))**38 assuming x is positive. x**(-183/4) Simplify (g*(g*g*g**(2/11))/g*g/((g/(g*g*g**7))/g)*g*g/(g/(g/g**5))*g*g/g**(1/11)*g)**30 assuming g is positive. g**(3990/11) Simplify (d*d/(d/(d*d*d*((d*d*d**(-4)*d)/d*d)/d*d))*d)/(d/d**(2/11))*((d/d**(3/7))/d)**(-1/5) assuming d is positive. d**(1258/385) Simplify (i**11)**34*i**12/(i**(1/6)*i) assuming i is positive. i**(2309/6) Simplify ((w**(1/15)/(w/(w*w*(w*(w/((w**12/w)/w)*w*w)/w)/w*w)))**(-30))**2 assuming w is positive. w**356 Simplify (a**(-4/15)/(a*a/(a/(a/a**(1/3)))))/(a/a**(1/4))**40 assuming a is positive. a**(-479/15) Simplify (((u/u**(1/2))/u)**(-43)*(u**0)**(2/7))**(-8/11) assuming u is positive. u**(-172/11) Simplify (((r*r*r*r**(-1)/r*r)**(-1/31))**(-6/31))**47 assuming r is positive. r**(564/961) Simplify o**(-11)*o**(1/8)*o**(-7/8)/(o/(o*o/o**(1/12))) assuming o is positive. o**(-65/6) Simplify ((j/(j/j**1*j))**(4/11)*(j**(-1/4)/j)**23)**42 assuming j is positive. j**(-2415/2) Simplify (d**18*d**(-2/17)*d)/(d**6)**(-28) assuming d is positive. d**(3177/17) Simplify ((q**(4/7)/q)/q)**(-21)/(q*q/q**(1/6))**(2/89) assuming q is positive. q**(7999/267) Simplify ((t*t**22)/t*t)/(t*t/(t**(-2/7)*t))*t**10*t**(-3) assuming t is positive. t**(201/7) Simplify ((n/(n**(-10)/n)*n)**(7/3))**10 assuming n is positive. n**(910/3) Simplify (((f**(-1/5)/f)/f*f*f*f/f**(-1))/(f**(1/4)*f**(1/8)))**(-4/5) assuming f is positive. f**(-57/50) Simplify (a/(a*(a/(a/(a/a**(-2))*a*a))/a)*a**(-1/26)/a)/(a*a**(-1/14)*a*a)**(2/19) assuming a is positive. a**(-4657/3458) Simplify ((a/(a*(a*a*a/a**(-2))/a))/a**(2/17)*(a*a*a/((a/(a**1*a))/a))/(a/(a/(a*a**(-3/7)/a))))**(-1/13) assuming a is positive. a**(-12/119) Simplify (((v**(-1/3)*v)/v)**(-19/2)*(v**(-1/2)*v)**(-4))**(2/13) assuming v is positive. v**(7/39) Simplify (c**13*c**(-17))/(c*(c*(c/c**(-3))/c)/c)**(-1/18) assuming c is positive. c**(-34/9) Simplify (((r**(13/5))**(1/38))**(1/62))**(-4) assuming r is positive. r**(-13/2945) Simplify ((((g**(6/11)*g)/g)/g**15)**(-2/5))**(-40) assuming g is positive. g**(-2544/11) Simplify (y**1*y*y*y)**(2/37)/((y*y**(-5)*y)/((y*y**(-1/4)*y)/y)) as
{ "pile_set_name": "DM Mathematics" }
90 Rearrange 84*b + 2*b**3 - 80*b + 0*b**3 to the form h + j*b + g*b**3 + n*b**2 and give j. 4 Rearrange v**2 + 4*v**2 + v**2 + 3*v**2 to c*v + h*v**2 + t and give t. 0 Express 0 + 87*q - 4 + 2 + 3 as i + t*q and give i. 1 Express 5 - 5 - 5*a**2 - a - 5*a**2 in the form u*a + m*a**2 + d and give u. -1 Express -2*r + 3*r - 2 + 0 + (2*r + 3*r - 3*r)*(2 - 5 + 5) - r + 2*r + r + 0*r - 2*r + r + (-1 + 1 - r)*(1 + 1 + 1) as u + l*r and give u. -2 Express -56*m**2 + 61*m**2 + 1 + 0 in the form k + u*m + o*m**2 and give o. 5 Express p + 0*p - 4*p**2 - p - 6*p as m*p + h*p**2 + y and give y. 0 Express (6*t + 0*t - 4*t)*(-5 + 4 + 32*t - 64*t) in the form d*t**2 + f + j*t and give d. -64 Express (-3 + 1 + 5*p**2 - 6*p**2)*(-2*p + 0 + 0) as v*p + s + d*p**2 + y*p**3 and give y. 2 Rearrange -8*l**3 - l - 35*l + 3*l**3 + 4*l**3 to s*l**3 + z*l**2 + x + h*l and give h. -36 Rearrange -19*c**3 + 0*c + 5*c + 23*c**3 to the form i*c**2 + p*c + u + x*c**3 and give x. 4 Express 0*i - 3*i + 5 - 6*i**3 + 4*i**3 + 1 - 2*i**2 as j + w*i + b*i**3 + r*i**2 and give r. -2 Express 1 - 2 + h - h - 7*h**3 in the form u*h**2 + o + d*h**3 + p*h and give d. -7 Express -70 + 24*x + 18*x - 61*x + 20*x in the form z*x + n and give z. 1 Express -3455*h + 3458*h + 6*h**2 - 5*h**2 as a*h + i + t*h**2 and give a. 3 Rearrange 2*l - 4*l + l - 10*l to w + x*l and give x. -11 Express -2*t - 340 + 341 - 2*t**3 + 3*t**4 - t**4 as r*t**2 + a*t + h*t**3 + d + y*t**4 and give d. 1 Rearrange -4 - 5*q**2 + 8 - 1 to h*q**2 + n*q + t and give t. 3 Rearrange (-4 + 21 + 18)*(2 - x - 2) to the form k*x + z and give k. -35 Express (-3*p + 3*p + 3*p)*(-3 + 7*p + 3) in the form y*p + x + g*p**2 and give g. 21 Rearrange -6*r + 2*r - 4*r + r to m + c*r and give c. -7 Rearrange -2*z**3 - 5*z - 3*z**4 + z**4 - 2*z**3 + z**4 to the form b*z + v*z**4 + c + h*z**3 + q*z**2 and give h. -4 Express -5*q**2 + 14*q**3 - 4*q**3 - 12*q**3 + (-3*q + 0*q + 0*q)*(1 + q**2 - 1) in the form x*q**3 + k + h*q**2 + l*q and give h. -5 Express (-5*s - s + 4*s)*(-8*s - 3*s + 7*s) - s**2 + s**2 + s**2 as d*s + l + p*s**2 and give p. 9 Rearrange (5*v - 5*v + 2*v)*(2 - 5 + 5)*(1 + 0 - 4) to the form d*v + q and give d. -12 Express -d + d + d**2 - d**2 - 3*d**2 + d**2 + (-4*d + 3*d + 2*d)*(-15 + 4*d + 15) in the form p*d**2 + q*d + b and give b. 0 Express -h**4 - 2*h**2 - 2*h**3 + 4*h - 2*h - 3*h in the form p*h**2 + o*h**3 + u*h**4 + w*h + j and give o. -2 Express (-7 - 5 - 46 + 4 + 2 - 4 + (0 - 2 + 3)*(-2 - 1 + 2) - 5 + 2 + 4)*(0*n - n - n) as s + u*n and give u. 112 Rearrange 4*o**2 + o**3 - 4*o**2 + (3*o - 3*o + o**2)*(0*o + 2*o + 5*o) to the form p*o**2 + h + j*o**3 + t*o and give j. 8 Express -2*m**2 + 1 + 42*m**4 - 41*m**4 + 7*m**2 in the form p*m + r*m**2 + a + q*m**4 + v*m**3 and give q. 1 Rearrange ((-1 + 3 - 1 + (4 - 1 - 5)*(1 - 1 - 2))*(-1 + 5 - 2) + (3 + 2 - 3)*(1 + 3 - 3) + 1 - 5 + 1)*(-2*w**2 + w**2 - 9*w**2) to b*w + l + n*w**2 and give n. -90 Rearrange -47*z + 2376 - 2376 to f*z + b and give f. -47 Rearrange -9*n - n**2 + 5*n**3 - 2 - 1 - 6*n**3 to o*n**2 + t*n + p + w*n**3 and give t. -9 Rearrange -6*f + 3*f**4 + 21*f - 7*f**4 - 2*f**2 + 2*f**4 to q*f**3 + u*f + p*f**2 + t*f**4 + o and give p. -2 Rearrange 11*w - 2 + w + 2 to the form y*w + b and give y. 12 Express -1 + 1 + j**2 + 0 in the form k*j**2 + i*j + b and give k. 1 Express -36*z - 137*z + 47*z in the form a*z + g and give a. -126 Express -229*w + 12 + 84*w - 12 in the form p + o*w and give o. -145 Express 18*k**3 + 6*k - 17*k + 7*k + 6*k in the form w + v*k + d*k**3 + n*k**2 and give d. 18 Express -2325*u**3 - 4*u**4 - 3*u + 2326*u**3 + 4*u as g*u + f + j*u**2 + l*u**4 + t*u**3 and give l. -4 Rearrange 2*y + 6*y - 12*y + 8*y**2 + y**2 to h*y**2 + t*y + f and give t. -4 Rearrange 767*k**3 - 1 - 2 - 768*k**3 - 15*k**4 to the form b + r*k**3 + z*k + j*k**4 + v*k**2 and give j. -15 Express (-3 + 2 + 3)*(4 + 1 - 3)*(-2*r**2 - 9 + 9) in the form k*r + h*r**2 + l and give h. -8 Express 2 + 4 - 3 - 45*s - 2 in the form j*s + f and give f. 1 Express (1903 + 6*y - 1911 - 3*y)*(-4 + 4 - 3*y) in the form o + r*y**2 + d*y and give d. 24 Rearrange -14*n**3 - 27*n**3 - 1 + 4 to the form t*n**2 + u + c*n + q*n**3 and give u. 3 Express -4*v**2 - 2*v + 0*v**2 + 6*v**2 + 3*v**3 - v**4 - 3*v**2 as j + i*v + t*v**2 + h*v**3 + q*v**4 and give i. -2 Express -9 - 22*z + 9 as x*z + g and give x. -22 Rearrange -6*u - 3 + 6*u + 3*u**2 - u**3 - u**2 to r*u**2 + t + j*u + o*u**3 and give o. -1 Rearrange 1 - 62*u - 1 + 84*u to m*u + w and give m. 22 Rearrange -10*d + 9*d + 8*d to the form b*d + g and give b. 7 Express (-4*f + f - 4*f)*(-5 - 38*f + 2 + 3) in the form w*f + c*f**2 + u and give c. 266 Express (-2 + 3 + 1)*(-2*g + 2*g - 2*g) + 2*g - 1 + 1 + 26 - 26 + 7*g as u + v*g and give v. 5 Express -9*w + w + 7*w**4 + 2*w - 2*w**3 + 4*w in the form m*w + g*w**3 + c*w**4 + u + v*w**2 and give g. -2 Rearrange -10 + 39*z**2 - 21*z**2 + 3*z - 17*z**2 to the form l*z + s + n*z**2 and give n. 1 Express -2 - 7 + 9 + 21*a in the form q + c*a and give c. 21 Express -6 + 8*w - 4*w + 2*w**3 - 6*w + 3*w**2 as o + z*w**3 + d*w + s*w**2 and give s. 3 Express 20*n + 136 - 136 as w + j*n and give j. 20 Express -7 + 6 + 3*d**2 + 21*d**3 - 4*d**2 - 10*d**3 as p*d + u*d**3 + t + k*d**2 and give k. -1 Rearrange (-2*i + 0*i - 3*i)*(3*i - i + 0*i) - i**2 - i + i to the form y*i + u*i**2 + m and give u. -11 Rearrange (-f + 4*f - f)*(-195 + 8 - 126) to k + n*f and give n. -626 Rearrange 57 - 57 - 3*n + 3*n**2 to the form x*n + j + l*n**2 and give l. 3 Rearrange -11*d**2 + 2 + 8*d**2 + 2*d - d**4 + 3*d**4 to the form f*d**4 + q*d + c*d**3 + k + w*d**2 and give q. 2 Express 16*m + 7 - 9 - 106*m + m - m - m + (-1 - 2 + 1)*(-m - 4 + 4) + 2*m + 0*m - m - 2*m + 6*m - 2*m as r*m + f and give r. -86 Express 3*q - 6*q - 11 + 19*q**4 - 20*q**4 as m*q**2 + x + u*q**4 + r*q**3 + f*q and give x. -11 Rearrange (3*p**2 + 4*p**2 - 6*p**2)*(0*p**2 + 2*p**2 - 8*p**2) to d*p**3 + t*p**4 + z*p + j*p**2 + s and give t. -6 Rearrange 2*v**2 + 8*v**2 + 23*v - 23*v to the form f + q*v + i*v**2 and give i. 10 Express ((-3 + 0 + 1)*(-2*n**2 - n + n) - 3*n**2 + 2*n**2 - n**2)*(-1 + 1 + n) + 0*n - 25*n**3 + 0*n in the form p*n**2 + w*n**3 + o + q*n and give w. -23 Express 5*w + 2*w**3 + 4*w**3 - 4*w**3 as r*w**3 + j + p*w**2 + f*w and give f. 5 Rearrange -4 - 3*q**4 - q**2 + 0*q**2 - 11*q**4 + 19*q**4 to l*q + a*q**2 + z*q**4 + i + u*q**3 and give z. 5 Express (9 - 5 + 4)*(5*i**2 + 3*i**2 - 2*i**2) as d*i**2 + q + n*i and give d. 48 Rearrange 30*d + 3*d - 17*d to c*d + l and give c. 16 Express (2 - 4 + 5)*(l + 13*l**3 - l) as a*l + h + q*l**2 + n*l**3 and give n. 39 Rearrange (-4 + 0 + 5)*(1 - 1 - t)*(-5*t**2 - 76*t**2 + 8*t**2) to a*t + u*t**2 + o*t**3 + d and give o. 73 Rearrange (8 - 1 - 1)*(-6*v**2 - 15 - v**2 + 13) to the form i + p*v + o*v**2 and give o. -42 Express -3 + 0*n**2 - 5*n**2 + n**3 + n**2 + 2 as o*n**3 + j*n**2 + q*n + t and give j. -4 Express -42 + 82 - 48 + 3*m in the form p + z*m and give p. -8 Express (-2*y + 2*y + 3*y)*(-6 - 4*y + 4 + 6*y) as p + t*y + l*y**2 and give p. 0 Rearrange -8*g**2 + 2*g - 2*g - g + 12*g**2 to the form t*g + j*g**2 + c and give t. -1 Rearrange -r**2 + 4*r + 2*r**2 + 2*r - 1 - 4*r to j + o*r + g*r**2 and give j. -1 Express 10*t + 3*t**2 - 14*t - 2*t**2 as k*t**2 + i + w*t and give k. 1 Express (-2*u**3 + 4*u**3 - u**3)*(1 - u - 1) + 2*u**4 + 2*u**4 - 45*u**4 in the form j + o*u**4 + g*u**3 + y*u**2 + l*u and give o. -42 Express (-3*y + 3*y - 2*y**2)*(-3*y + 2*y + 9*y)*(0 - 5 + 4)*(1 - 2 - 1) as a + o*y**3 + p*y**2 + l*y and give o. -32 Rearrange -8 - v**2 + 8 + (1 - 3*v - 1)*(0*v + 2*v - 4*v) to the form i*v + k + m*v**2 and give k. 0 Express 13 - 14*h**3 - 1 + 13*h**3 + 2 as f + x*h**2 + l*h + t*h**3 and give f. 14 Rearrange (0 - m - 1 + 5*m)*((3 - 7 + 2)*(-4 + 2 + 3) - 1 - 1 + 4 + 0 + 0 - 1)*(-m - m + m) to the form t + s*m**2 + q*m and give q. -1 Express ((-5 - 1 - 4)*(-2*i - 3 + 3) - 2*i - 6*i + 2*i)*(-5*i**2 + 4*i**2 + 2*i**2) as x*i**3 + v*i + a + d*i**2 and give x. 14 Rearrange 2*g + 4*g**2 - 10*g**2 + 4*g**2 + 1 - 2 to the form z + a*g**2 + f*g and give a. -2 Express 3*y**3 + 8*y**2 + 0*y**2 + 2 - 5*y**2 as w*y**3 + f*y + b*y**2 + d and give f. 0 Express 130*r**3 + 1 + r -
{ "pile_set_name": "DM Mathematics" }
is the value of ((16/4)/8)/((-3)/6)? -1 Calculate -3*10/(-45)*3. 2 (6/(-2))/(228/152) -2 What is the value of ((-2)/(-27))/((-24)/36)? -1/9 ((-15)/2)/5*10/5 -3 Calculate (-3)/(-90)*-10*(-9)/8. 3/8 (4/(-12))/(4*(-20)/48) 1/5 What is (2/8)/(1/4)? 1 What is ((-4)/(-5))/((-12)/(-90))? 6 Evaluate (-36)/(-20)*270/81. 6 Calculate (-30)/(-3)*(-10)/25. -4 What is (5/(-3))/(29/(-87))? 5 Evaluate (15/(-10))/(5*(-10)/300). 9 What is the value of 3/(-10)*536/(-1206)? 2/15 What is 1*(-1)/2*2? -1 What is the value of 540/90*3/12*-2? -3 What is (6/(18/(-3)))/((-1)/(-4))? -4 Calculate (6/(-6))/(8/64). -8 Evaluate (3/(-12))/((-3)/(24/(-5))). -2/5 Calculate 42*(136/48)/17. 7 What is (2/26)/(8/16)? 2/13 What is (-14)/(-7)*(-20)/(-8)? 5 Calculate ((-126)/(-21))/(3*2/4). 4 What is the value of 0*5/(15/3)? 0 Evaluate ((-2)/2)/((-20)/(240/54)). 2/9 ((-22)/22)/(2/6*1) -3 ((-12)/(-14))/(9/(-42)) -4 Calculate (-416)/32*(-6)/26. 3 What is -4*(-4)/(-12)*(-2)/8? 1/3 What is the value of 2/((14/(-14))/(-1))? 2 3/(-2)*12*(-16)/(-480) -3/5 What is (-21*(-6)/168)/((-27)/16)? -4/9 Evaluate (((-4)/(-2))/4)/((-1066)/(-328)). 2/13 What is (4/(-27))/(5/15)? -4/9 What is 1/((5/25)/1)? 5 Calculate 864/(-1080)*6/8. -3/5 ((-108)/81)/(4/6) -2 46/(-46)*(-2)/((-4)/(-6)) 3 What is the value of (3/(-12))/(2/(-24))? 3 Calculate 96/18*(-36)/(-32). 6 Evaluate 24/16*(-40)/(-75). 4/5 Evaluate ((-15)/(-12))/((-2)/(-8)). 5 Calculate (8/(-28))/(2/14). -2 What is the value of ((2/(-4))/(-1))/(7/(-42))? -3 What is (7/((-224)/12))/((-8)/(-8))? -3/8 Calculate (20/(-70))/(4/(-14)). 1 What is the value of ((-1)/(-11))/(20/22)? 1/10 (552/1196)/(1/13) 6 Evaluate -2*2/12*(-348)/(-29). -4 ((-140)/50)/((-1)/((-5)/(-2))) 7 ((-6)/42)/(1/2) -2/7 Calculate 3/5*(-50)/(-20). 3/2 Evaluate 2*(-1)/(-4)*(-12)/6. -1 Evaluate -7*12/(-196)*14. 6 What is the value of ((-30)/63)/(-5)*90/(-15)? -4/7 What is the value of 3*(50/(-10))/(-120)? 1/8 What is the value of (6*(-2)/(-32))/(12/(-8))? -1/4 (6/28)/((-10)/(-70)) 3/2 Calculate ((-18)/(-12))/((25/5)/(-10)). -3 What is (3*(-2)/(-15))/((-160)/100)? -1/4 Evaluate 3/(((-54)/(-6))/(-3)*1). -1 What is -6*(-4)/40*20/2? 6 Evaluate -3*((-38)/95)/(3/(-5)). -2 ((-5)/2)/((-3)/12*-2) -5 (-9)/(360/16)*1*-5 2 Evaluate (-3)/((48/(-20))/(-4)). -5 Evaluate 27/(-72)*(-2)/3. 1/4 Calculate (5/25)/(3/((-9)/3)). -1/5 (-12)/(-9)*27/6 6 (-90)/(-4)*223/2007 5/2 What is 18/(64/4*(-2)/(-16))? 9 Calculate ((2*3)/3)/(8/(-36)). -9 What is the value of (-420)/42*(-3)/6? 5 What is the value of (5/((-1815)/22))/((-2)/6)? 2/11 0/(-1)*2*(-1)/(-2) 0 Calculate -2*(-3)/12*28/2. 7 What is the value of (-12)/(-10)*60/18? 4 Evaluate 2/(-4)*(-2)/(-7). -1/7 (-4*(-1)/(-8))/((-1)/(-2)) -1 What is ((-2)/2)/((-2)/(6/(-3)))? -1 What is the value of ((-12)/(-18))/((-72)/27)? -1/4 What is the value of (-2*(-8)/4)/(1*2)? 2 What is the value of (39/(-26))/(3/12)? -6 What is the value of ((-3)/(-3))/(10/(-6))? -3/5 Calculate 2/(-6)*(-2)/1. 2/3 Evaluate ((-1)/(-7))/((-8)/224*-12). 1/3 What is (-6)/(-2)*(-17)/17? -3 Evaluate (-107)/321*3/1. -1 7/(-147)*(-18)/(-30)*5 -1/7 6/(-10)*(-50)/(-10) -3 Calculate 4/1*(-3)/6. -2 What is the value of (-10)/(-4)*40/50? 2 What is (96/(-30))/(-4)*(-5)/7? -4/7 Evaluate (-9)/(-6)*-14*7/(-294). 1/2 Calculate ((-6)/2)/3*-3. 3 What is the value of 30/25*(-50)/30? -2 What is ((-2)/2)/(7/7)*1? -1 What is the value of ((-20)/5)/(42/(-14))? 4/3 What is (252/24)/7*(-2)/(-27)? 1/9 What is (9/(-12))/((27/6)/(-1))? 1/6 What is 9/(((-36)/16)/((-3)/2))? 6 (18/12)/(2/((-2)/(-3))) 1/2 3450/(-460)*(-4)/(-5) -6 What is the value of ((-4)/1)/(-2)*1? 2 What is the value of ((-7)/(-693)*3)/(1/6)? 2/11 What is ((-4)/(-6))/(-1)*(-195)/(-130)? -1 -1*21/9*3 -7 What is the value of (5/5)/((12/(-4))/(-12))? 4 What is (120/(-1320))/((-2)/11)? 1/2 30/72*15/(15/(-2)) -5/6 (-15)/2*12/(-18)*1 5 Evaluate (9/(-30))/((-9)/12*1). 2/5 Calculate 24/100*85/153. 2/15 What is 1*2*9*4/36? 2 ((-13)/234)/((-7)/105) 5/6 Calculate ((-1)/((-5)/2))/(63/(-105)). -2/3 5/(75/(-80))*(-9)/12 4 Evaluate (90/(9/1))/(4/2). 5 Calculate 20/1050*-5*-1*3. 2/7 What is the value of (3/(18/(-12)))/(-1)? 2 -1*(-6)/(-2)*12/36 -1 What is (-7)/(147/30)*-7? 10 What is the value of ((-2)/(-20))/(10/20)? 1/5 What is the value of ((-2)/5)/((-8)/(-20))? -1 Evaluate (-34)/136*(-4)/5. 1/5 What is 2/(28/(-2))*(-350)/300? 1/6 (-8)/6*(-9)/78 2/13 What is the value of (2*1/(-1))/(24/(-60))? 5 What is the value of (((-84)/(-12))/84)/(1/3)? 1/4 What is 2*1/(-4)*(-240)/24? 5 What is the value of 5/(-15)*-2*-3? -2 What is the value of 1*-4*45/(-36)? 5 What is -12*(-1)/6*2/28? 1/7 Evaluate (18/(-63))/(5/7). -2/5 What is the value of ((-2)/42)/(15/180)? -4/7 Calculate 4*1*3/36. 1/3 What is ((-6)/(-9))/((-7)/(-6))? 4/7 Calculate (((-120)/10)/(-48))/(1/8). 2 Calculate 75/(-270)*((-32)/10)/4. 2/9 What is (8/(-18))/((-101)/(-1818))? -8 1/(-1)*4/(-28)*-35 -5 What is ((-174)/(-29))/((-6)/(-4))? 4 What is the value of (-7)/(-14)*0/(5/5)? 0 What is the value of (-2)/(-32)*-2*68/(-17)? 1/2 What is the value of 4/(-2)*1*16/(-64)? 1/2 What is -6*2/(-8)*(-4)/(-2)? 3 What is the value of -2*(-8)/6*6/(-16)? -1 2/((-3)/(6/(-2))) 2 Calculate (-1)/(-1)*(-22)/(-132). 1/6 Evaluate (8/56)/(((-9)/3)/3). -1/7 Calculate (22/396)/(4*(-2)/(-12)). 1/12 What is (4/(16/(-12)))/(-3)? 1 (-93)/124*(-2)/(-3) -1/2 Calculate ((-1)/(-4))/(2/4). 1/2 ((63/6)/(-7))/(12/32) -4 Evaluate 5/(-30)*14/((-42)/9). 1/2 Calculate (1/3)/(((-28)/24)/7). -2 (108/(-27))/(2*(-2)/4) 4 What is (-270)/324*(-9)/(-10)? -3/4 Calculate (5/((-120)/(-36)))/((-3)/(-10)). 5 Calculate 3*(-3)/18*-10. 5 5*((-2)/2)/1 -5 Evaluate -10*66/(-220)*2/51. 2/17 Calculate (65/(-130))/((-1)/(-20)). -10 Evaluate (4/6)/(70/21). 1/5 Calculate 5/(((-6)/(-21))/((-8)/(-28))). 5 Calculate (-16)/((-12)/(-8)*16/(-12)). 8 What is the value of 3/(-2)*30/(-9)? 5 What is the value of 5/(-10)*((-54)/3)/3? 3 What is the value of ((-6)/15)/((-24)/(-15))? -1/4 What is (-48)/24*(-1)/(13/1)? 2/13 ((-2)/(12/3))/((-4)/40) 5 What is the value of 17/17*0/2? 0 What is (-80)/24*6/4? -5 What is (-4)/14*(-280)/200? 2/5 Calculate (0/((-2)/(-1)))/2*1. 0 -5*1*594/7920 -3/8 (7*(-2)/(-7))/(1*4) 1/2 What is the value of (-2)/(4/((-32)/(-8)))? -2 What is (3/(-2))/(42/12)? -3/7 Calculate (-1)/6*3*5*2. -5 What is 1/(-5)*27/(-9)? 3/5 (8/(-20))/((-10)/25) 1 Evaluate (3/30*5)/(15/(-60)). -2 What is 6*1/54*-6? -2/3 What is (12/(-150))/((-1)/(-5))? -2/5 (-2)/(((-6)/(-9))/((-16)/72)) 2/3 What is the value of ((-110)/(-10))/99*3*-1? -1/3 ((-1)/(-5))/(8*(-2)/20) -1/4 What is 15/(-6)*(-48)/30? 4 Evaluate 6/(-24)*8*2. -4 What is the value of (-6)/(-5)*(-2)/((-20)/(-25))? -3 Evaluate (2/20)/(4/(-10)). -1/4 (4/12)/((-7)/21*3) -1/3 Calculate (-4)/(-3)*5*5/50. 2/3 What is the value of (-27)/(-36)*-4*(-1)/(-5)? -3/5 Calculate ((-24)/(-130))/((-114)/(-285)). 6/13 Calculate (-4)/(64/12)*-2*-2. -3 (16/(-52))/(16/(-104)) 2 Calculate (9/(-6))/(6/(-8)). 2 Calculate -4*(-11)/((-110)/10). -4 What is the value of ((-7)/7)/(4/(-4))? 1 0*5*8/40 0 Calculate ((-48)/42)/((-6)/42). 8 5/(-2)*(-12)/225*-3 -2/5 What is the value of 1/(9/(-6)*(-50)/15)? 1/5 Calculate 2/(-1)*1/(-8)*-1. -1/4 (48/12)/((-2)/3*3) -2 What is the value of 68/(-68)*0/(-2)? 0 What is the value of ((-10)/15)/((-20)/15)*-16? -8 Calculate (-1*(-2)/(-36))/((-126)/(-252)). -1/9 1/((-5)/5)*-1 1 What is -2*2*-2*(-93)/124? -6 What is (6/105)/(6/15)? 1/7 Calculate 1/1*10/10*-1. -1 (-3)/(-9*4/((-48)/1)) -4 (-5)/((-50)/(-8))*-5 4 Evaluate ((-12)/90)/(3*(-10)/(-45)). -1/5 Evaluate 8/32*(64/(-6))/(-8). 1/3 Evaluate 1*2/(-2)*0/4. 0 Evaluate (2/(-4))/(10/(-30)). 3/2 Evaluate ((-9)/(-72))/(170/(-80)). -1/17 What is the value of (-30)/(-75)*(-3)/(-6)*1? 1/5 What is (-2)/4*0*4/8? 0 Calculate ((-1)/(-4))/(1/1). 1/4 What is 10/2*(-12)/330? -2/11 What is the value of 8/(-1)*(-364)/416? 7 What is ((-1)/4)/((-2)/2)*-7? -7/4 Calculate (-2)/1*-2*14/7. 8 What is (-30)/24*(-560)/175? 4 Evaluate (-26)/156*2*1. -1/3 What is the value of ((-18)/(-12))/(12/(-20))*-2? 5 Evaluate ((-36)/(-28))/(-3)*-7. 3 Calculate (288/2112)/(6/(-16)). -4/11 -7*(-5)/((-210)/(-24)) 4 What is 8/2*6/228? 2/19 What is 6/27*45/35? 2/7 What is 2/48*4*2? 1/3 (-40)/8*-2*(-4)/(-10) 4 What is (-4)/(12/1)*-12? 4 What is (-5)/(-4*(-55)/88)? -2 What is 2*3/24*1? 1/4 -1*9/(-81)*-3 -1/3 Evaluate (4/(-15)
{ "pile_set_name": "DM Mathematics" }
m - 152 for m. 2 Solve 71586*s - 198 = 71575*s for s. 18 Solve 29*p + 9 - 173 = 242 for p. 14 Solve -129*t + 6*t - 1046 = 2275 for t. -27 Solve -140*g + 1475 = -345 for g. 13 Solve 15*p - 2139 + 1944 = 0 for p. 13 Solve -58*o - 3*o = -50*o + 154 for o. -14 Solve -7151 + 6563 = 98*k for k. -6 Solve 10*n = -24 + 14 for n. -1 Solve 693 = 705*n + 458*n - 7448 for n. 7 Solve -168 = -237*w + 243*w for w. -28 Solve 256*j - 5 = 251 for j. 1 Solve -13835 + 13871 = 18*y for y. 2 Solve k - 141 + 197 = 15*k for k. 4 Solve -254*g + 5650 - 250 = 286*g for g. 10 Solve 0 = 148*s + 143 - 287 + 144 for s. 0 Solve 23*n + 173 = -310 + 161 for n. -14 Solve 0 = -16*j - 70*j - 28*j - 228 for j. -2 Solve 405*p - 8166 + 66 = 0 for p. 20 Solve 17*t + 79 = 130 for t. 3 Solve -259*d = 575 + 3051 for d. -14 Solve 180*b - 3618 = 314*b for b. -27 Solve 203 = 54*m - 229 for m. 8 Solve 112 = -95*m + 388*m - 474 for m. 2 Solve 0 = -14*w - 46*w - 11*w + 639 for w. 9 Solve 85*d - 107 - 68 = -5 for d. 2 Solve 56*a - 61*a = -35 for a. 7 Solve 0 = -875142*x + 875080*x for x. 0 Solve -39*j - 435 = -j + 97 for j. -14 Solve -4*u = 3*u - 205 + 247 for u. -6 Solve 83 + 160 + 13 = 128*i for i. 2 Solve 3917*s - 3968*s = 102 for s. -2 Solve -39*a - 19 = -63*a + 221 for a. 10 Solve -7*c - 9*c + 29*c = 221 for c. 17 Solve -u - 34*u + 1896 = 123*u for u. 12 Solve -110 = -62*n + 14 for n. 2 Solve 0 = 19*b + 40*b - 47*b + 60 for b. -5 Solve 58*s - 504 = 20*s - 130*s for s. 3 Solve -6*p - p + 16*p = 153 for p. 17 Solve 17839 = -779*o - 78 for o. -23 Solve -19*z - 96*z + 152 + 193 = 0 for z. 3 Solve -176*s = -182*s + 16 - 46 for s. -5 Solve 2 = 837*z - 839*z + 14 for z. 6 Solve 3539 = 40*i + 2699 for i. 21 Solve 4*a + 316*a + 640 = 0 for a. -2 Solve 1646*v - 812 = 977 - 10019 for v. -5 Solve -226*u + 14*u - 152*u = -728 for u. 2 Solve 0 = -9*f - 3425 + 3497 for f. 8 Solve -9435 + 572 = 259*h - 1093 for h. -30 Solve 4*y + 39*y = -18*y + 610 for y. 10 Solve -14*h = 242 - 88 for h. -11 Solve -4*w - 15 + 22 = -9 for w. 4 Solve 10*o = 139*o + 387 for o. -3 Solve -2065 = -110*x + 245 for x. 21 Solve 594 + 224 = -482*k + 73*k for k. -2 Solve -189*a + 580 + 973 - 419 = 0 for a. 6 Solve 917 + 691 = 83*k + 118*k for k. 8 Solve -18*i + 91 = -43*i + 18*i for i. -13 Solve 24*i + 14*i = -144 - 350 for i. -13 Solve 12536*d - 12479*d = 1311 for d. 23 Solve -55182*c + 220 = -55192*c for c. -22 Solve -196*k - 95120 = -91396 for k. -19 Solve 47*d + 2105 = 2293 for d. 4 Solve 0*u - 5 = -16*u + 107 for u. 7 Solve 110*s - 30 + 61 + 189 = 0 for s. -2 Solve 0 = 772*t - 546*t + 1582 for t. -7 Solve -12 - 381 - 327 = 48*z for z. -15 Solve 2131 = 187*b - 1048 for b. 17 Solve -15*w - 1746 + 1701 = 0 for w. -3 Solve 94536*g = 94547*g + 330 for g. -30 Solve -3558*s = -3241*s - 4755 for s. 15 Solve -478*l = -247*l - 243*l for l. 0 Solve 45*g - 200 + 1145 = 0 for g. -21 Solve -196*t + 171 = -742 + 129 for t. 4 Solve -29*l + 2424 = 2134 for l. 10 Solve -19*v = 17*v - 44*v + 32 for v. 4 Solve -256*j = 25*j - 128 + 3500 for j. -12 Solve -283 = 132*y - 19 for y. -2 Solve -11*p + 26*p - 61 = -46*p for p. 1 Solve -18089*y + 18103*y = -196 for y. -14 Solve 462*o - 321*o + 846 = 0 for o. -6 Solve -117*g + 1651 = 26*g - 16*g for g. 13 Solve -4*v = -8*v + 5 - 53 for v. -12 Solve -1014 = -94*o + 432*o for o. -3 Solve 19*b - 222 = -11*b - 12 for b. 7 Solve -56*p - 2635 = 31*p + 68*p for p. -17 Solve -8 - 42 + 2 = 12*a for a. -4 Solve -25*p - 5*p = -2 - 28 for p. 1 Solve 5*c = 15*c + 8*c for c. 0 Solve 376*m - 944 + 9076 = -516 for m. -23 Solve 26*r + 7 = 18*r + 39 for r. 4 Solve 0 = -77*q + 48*q + 58 for q. 2 Solve 3948*l = 3918*l - 810 for l. -27 Solve 35*v - 19*v + 112 = 0 for v. -7 Solve 263*f + 415*f = 155*f - 6799 for f. -13 Solve -50*u + 6 + 58 = -48*u for u. 32 Solve -334*i = 358*i + 2768 for i. -4 Solve -233*z - 6370 = -7768 for z. 6 Solve 115 = 4*w + 5*w + 7 for w. 12 Solve 23*o - 60*o + 22*o + 300 = 0 for o. 20 Solve 0 = 89*b + 165 + 191 for b. -4 Solve 42 = 14*i + 210 for i. -12 Solve 583*o + 590*o = 1171*o for o. 0 Solve -8*h - 1133 = -1045 for h. -11 Solve -155*r + 30732 - 26392 = 0 for r. 28 Solve 975*m - 980*m = 80 for m. -16 Solve -18131 + 14162 = -147*g for g. 27 Solve 83*a + 7692 - 5285 = 0 for a. -29 Solve 90 = 232*o - 237*o for o. -18 Solve -14*r = 54*r - 2*r - 858 for r. 13 Solve -187 - 119 = 193*o - 175*o for o. -17 Solve 110779*b = 110755*b - 552 for b. -23 Solve -112*i = 302*i + 2898 for i. -7 Solve 16*n + 69 = -73 - 130 for n. -17 Solve 352*u - 60 = 181*u + 183*u for u. -5 Solve -88*y = -58*y + 240 for y. -8 Solve 22*z - 75246 = -75026 for z. 10 Solve 17769 + 9426 = 329*c + 966*c for c. 21 Solve -202 + 305 = 14*p + 201 for p. -7 Solve 146*d - 5556 = 609*d for d. -12 Solve 19*k - 45*k + 260 = 0 for k. 10 Solve 43 - 45 + 156 = 77*a for a. 2 Solve 2387*t = 2420*t - 99 for t. 3 Solve -18*i + 46670 - 46778 = 0 for i. -6 Solve 181*p = 94*p + 85*p - 6 for p. -3 Solve 416 - 425 = -4*n + 3*n for n. 9 Solve 10 - 1 = 102*u - 111*u for u. -1 Solve -45 = 5*h - 1 + 11 for h. -11 Solve 16148*d - 72 = 16144*d for d. 18 Solve 45*s = 69*s - 56*s + 224 for s. 7 Solve 16 + 1571 = -69*n for n. -23 Solve 15*u - 4055 + 4085 = 0 for u. -2 Solve -305*l - 461 = 759 for l. -4 Solve 18*z - 38790 + 38988 = 0 for z. -11 Solve -73*p = -88 + 2935 for p. -39 Solve -22*o - 9*o + 1512 = 41*o for o. 21 Solve -51 - 142 + 25 = -28*i for i. 6 Solve 0 = 1667*c - 1305*c - 6516 for c. 18 Solve 0 = 14*h - 3092 + 2588 for h. 36 Solve -156*a + 864 = -41*a - 79*a for a. 24 Solve -6*k + 30*k + 17*k = -1271 for k. -31 Solve 31*f + 9*f - 11*f = 58 for f. 2 Solve -151*g + 268*g - 117 = 0 for g. 1 Solve -10*w = 3*w - 28 - 24 for w. 4 Solve -55*g + 2156 = 99*g for g. 14 Solve 13*l = -18*l + 25 + 68 for l. 3 Solve 8868*c - 8900*c = -448 for c. 14 Solve 14*z = -1716 + 1576 for z. -10 Solve 627 - 477 = -50*f for f. -3 Solve -16*c = -0*c - 9*c + 112 for c. -16 Solve 68*h - 59*h = -72 for h. -8 Solve -798*a + 283*a + 9270 = 0 for a. 18 Solve 0 = 17*w + 18*w - 59*w - 216 for w. -9 Solve -169 + 65 = 397*f - 345*f for f. -2 Solve -2*f - 148*f - 27*f + 1947 = 0 for f. 11 Solve -1579*m - 11549 + 274 = 9252 for m. -13 Solve -125*q + 295 = -705 for q. 8 Solve 115*w - 1307 = 9*w + 177 for w. 14 Solve -9*r + 2*r - 56 = -3*r for r. -14 Solve -1945789*a + 108 = -1945785*a for a. 27 Solve 513*t + 6852 = -3921 for t. -21 Solve -1062 + 442 = 114*r + 520 for r. -10 Solve 132 - 81 + 525 = 64*q for q. 9 Solve -66*v + 8*v - 1305 - 841 = 0 for v. -37 Solve -17 = -3*d + 37 + 42 for d. 32 Solve 12357*r = 12307*r + 1050 for r. 21 Solve -180 + 837 = 73*o for o. 9 Solve 0 = 77*o - 499 - 64 - 284 for o. 11 Solve -x = 489 - 502 for x. 13 Solve 602*v + 4074 + 2040 + 9538 = 0 for v. -26 Solve -26*f = 64 - 298 for f. 9 Solve 172*c = -4*c + 1936 for c. 11 Solve -1193*w + 1366*w - 346 = 0 for w. 2 Solve 69*b - 42*b = 162 for b. 6 Solve 8*t - 8*t + 391 = 17*t for t. 23 Solve 0 = 19064*y - 19049*y - 195 for y. 13 Solve -u = -7*u + 5*u + 3 for u. 3 Solve 75 = -26*p + 220 + 63 for p. 8 Solve -647*x - 120 = -623*x for x. -5 Solve -69572*v + 69579*v = 77 for v. 11 Solve -9 = -1373*d + 1372*d for d. 9 Solve -82*w + 590 = 16*w + 198 for w. 4 Solve -120*w + 260*w - 125*w - 180 = 0 for w. 12 Solve -337*c - 218*c = 146*c + 21731 for c. -31 Solve 9*f + 58*f = 0 for f. 0 Solve 429*y = 5513 + 11218 for y. 39 Solve 378*d - 125*d = -3542 for d. -14 Solve 187161 = -21*l + 187560 for l. 19 Solve -566*d + 5 + 5655 = 0 for d. 10 Solve 2320 = -213*t + 403 for t. -9 Solve 61371 = -30*q + 61161 for q. -7 Solve -42*d - 69097 = -68593 for d. -12 Solve -277*b = -221*b - 1008 for b. 18 Solve 0 = k - 12879 + 12892 for k. -13 Solve 299*w = -437*w + 4416 for w. 6 Solve -583*g = 353*g - 13104 for g. 14 Solve 16*m + 178 = 7*m + 7 for m. -19 Solve -30*p + 60*p = 20*p + 200 for p. 20 Solve 3085*r - 2 = 3083*r for r. 1 Solve 248*j - 1480 + 616 = 3848 for j. 19 Solve -166 - 188 = -162*t + 942 for t. 8 Solve -y + 8*y + 9768 = 9852 for y. 12 Solve -38*i - 70*i + 1339 = -5*i for i. 13 Solve 22 - 3 = -4*x - 1 for x. -5 Solve -30*b + 62*b = 47*b + 210 for b. -14 Solve 3*h + 50 = 37 - 23 for h. -12 Solve -23*h = -133657 + 133312 for h. 15 Solve -255 = -30*o + 293 + 82 for o. 21 Solve -67*l = 6*l + 113 + 106 for l. -3 Solve 4699 = 324*t +
{ "pile_set_name": "DM Mathematics" }
*g - 6*g**2 + 2*g**2 + g**2 to h + k*g**2 + y*g and give y. 9 Express -28 + 76*c + 13 + 15 as a + b*c and give b. 76 Rearrange -5*g**2 + 296 - 10*g + 3*g**2 - 296 to f*g + n*g**2 + l and give n. -2 Express -r**2 - 6*r**4 - 13*r + 14*r - 4*r**4 as z + t*r**3 + i*r**4 + o*r + m*r**2 and give m. -1 Rearrange -2*p**3 - 9*p**2 + 9*p**2 + 9 + 4*p**3 to w + y*p**2 + v*p**3 + t*p and give w. 9 Rearrange 23*q**2 + 3*q + 4*q - 21*q**2 - 3 + 2*q**4 - 2*q to b*q + s*q**3 + i*q**2 + g*q**4 + p and give g. 2 Express (0*g**2 + 3*g**2 + 2*g**2)*(4 - 2 + 0) as w + x*g**2 + m*g and give x. 10 Rearrange (10 + 8*z - 10)*(-3*z**3 + 0*z**3 + 2*z**3) to l*z + a*z**3 + f*z**2 + p + n*z**4 and give p. 0 Express 2030*n**2 - 2030*n**2 + 1 + 6*n - 3*n**3 + 21*n as l*n + y + h*n**3 + o*n**2 and give h. -3 Express -w - w + 4*w + (w - 1 + 1)*(58 - 60 + 34) as x + h*w and give h. 34 Rearrange 3 + 2*t - 3 + 2*t to the form l*t + y and give l. 4 Rearrange -3 - a + 2 - 38*a**3 + 5 + 40*a**3 to the form m*a + s*a**2 + d*a**3 + n and give n. 4 Express 2*d + 4*d + 3*d + d**2 - d**3 in the form b*d**2 + z*d + x + j*d**3 and give b. 1 Rearrange -4*b**3 - b + 5 + 2 - 8 to the form q*b**3 + c*b**2 + v + z*b and give q. -4 Express -36*b**2 + 36*b**2 - 2*b**3 - 4*b - 1 in the form k*b**2 + g + s*b + n*b**3 and give n. -2 Rearrange -314 - 2*h**3 + 11*h**4 - 7*h**4 + 312 - 4*h + (4 - 3 - 3)*(2*h**4 - 5*h**4 + 2*h**4) to d + s*h**2 + z*h**3 + w*h**4 + r*h and give r. -4 Express 1 - 3*k + k**4 - 4*k**2 - 4*k**4 - 3*k - k**3 + 3*k as v + q*k**2 + p*k**4 + i*k + n*k**3 and give i. -3 Rearrange -j - 32*j**2 + 2*j + 7*j**2 to v*j**2 + w*j + q and give v. -25 Express (-s + 0*s - 3*s + (1 - 1 + 2)*(-3*s + 6*s - 2*s))*(0*s**3 + 3*s**3 - 6*s**3) as m*s**4 + f*s + w*s**2 + j*s**3 + v and give m. 6 Rearrange -108*w + 0 + 107*w + 0 - 11*w**4 - 2*w**3 to the form z*w**3 + p*w**2 + f*w**4 + h + q*w and give q. -1 Rearrange 4 - 7 - 2*v**2 + 5*v**2 + 0 to i + y*v + x*v**2 and give i. -3 Rearrange (3 - 3 - 5*a)*(-32 + 32 - 4*a) + 2 + a**2 - 2 to the form r*a + u*a**2 + d and give u. 21 Express (-2*z - 2*z + 145 - 140)*(-2*z**3 - 3*z**3 + 2*z**3) in the form i*z**2 + o + k*z**4 + f*z + u*z**3 and give k. 12 Express -53*q + 100*q - 53*q as a*q + u and give a. -6 Rearrange (-1 + 1 - 1)*(-4*h + 0*h + 3*h) + 245 - 245 + 21*h to y + w*h and give w. 22 Express -2*g**3 + 5*g**3 - g**2 + 15*g - 14*g as y + c*g**2 + p*g**3 + q*g and give q. 1 Rearrange -c**2 - 2*c**2 + 1 - 15 to q + o*c**2 + u*c and give o. -3 Rearrange 21*i - 9*i - 12*i + 31*i to the form x + l*i and give l. 31 Rearrange 25*f**2 - 81*f**2 - 89*f**2 + 28*f**2 to the form k + x*f**2 + s*f and give x. -117 Rearrange -31*k**2 + 49*k**2 + 65*k**2 + (-5*k + 4*k - k)*(k - k - k) to the form i + d*k**2 + m*k and give d. 85 Rearrange (-4*i + 4*i + 3*i**2)*(1 - 6 + 0) to t*i + n + g*i**2 and give g. -15 Rearrange -5*a**4 + 3*a**4 - 36 - a**2 + 3*a - 2*a + 35 to p*a**2 + o*a + z + y*a**4 + d*a**3 and give p. -1 Express 10*l - 4*l**2 + 44*l**3 - 11*l - 42*l**3 + 8 in the form b*l**2 + g*l**3 + r + f*l and give b. -4 Rearrange (3*t + 2 + 6*t - 8*t)*(-11 + 6*t + 11) to the form r*t**2 + h + j*t and give j. 12 Rearrange -f**3 + f**3 - 4*f**3 + 3*f**3 + 2*f to the form o*f**2 + r + y*f + h*f**3 and give y. 2 Express -18 - f**3 + 32 - 13 - 6*f**4 as h*f + a*f**2 + l*f**3 + d*f**4 + y and give y. 1 Express 0 - d + 0 + (-8 + 22 - 6)*(17 - 17 - 4*d) as o*d + l and give o. -33 Rearrange 15*q - 3 + 9*q + 3 to the form p + l*q and give l. 24 Express -71*t**3 - 3*t**4 + 72*t**3 - 3*t**2 + 0*t**2 + 2*t**2 - 2*t as c*t**3 + p*t**2 + z*t + q*t**4 + u and give c. 1 Rearrange (-9*i - 5 + 5 + (-4*i + 2*i + i)*(-5 - 1 + 8))*(0 + i + 0) to d*i + s*i**2 + v and give s. -11 Express -s**2 - s**2 + s**2 + (0*s - s - 2*s)*(-5*s + s - 4*s) as y*s**2 + j*s + z and give y. 23 Express 3*m**4 + 5*m**2 - m**4 + 3*m**3 - 11*m**2 as h*m**2 + j*m + p*m**4 + z*m**3 + u and give h. -6 Rearrange (-10*n - 18*n - 28*n)*(n + 3 - 3) to the form p*n**2 + z*n + h and give p. -56 Express 4 - 2 + 7*o**3 - 1 - o + o**3 in the form d*o**2 + b*o + g*o**3 + x and give g. 8 Rearrange (13 - 45 + 12)*(-3*z**3 + 3*z**3 - z**4) to y*z + h*z**4 + c*z**2 + u + v*z**3 and give h. 20 Rearrange (-4 + 4 + u)*(5*u**2 - 2*u**2 + u**2) + u**3 + 14*u**3 - 4*u**3 - 2*u**2 - 2*u**3 + 2*u**2 to o*u + z + q*u**2 + c*u**3 and give c. 13 Rearrange -5*i**2 + 3*i**2 + i**3 + 21*i - 24*i + 0*i**2 to the form j*i**2 + b*i + x + n*i**3 and give b. -3 Express -6 - 7*y**3 + 3*y**3 - 2 + y**2 + 6 in the form b + l*y**3 + s*y**2 + w*y and give s. 1 Rearrange (-119*m**3 - 4 + 114*m**3 + 1)*(-3 - 2*m + 3) to the form q*m + j*m**3 + o*m**4 + c + n*m**2 and give o. 10 Rearrange (3*x + 0*x - 6*x)*((-2*x - 3 + 3)*(-3*x + 3*x + 2*x) + x**2 + 6*x**2 - 1 - 4*x**2) to the form y + d*x**2 + t*x**3 + s*x and give t. 3 Express 19*p**2 - 74 + 32 + p**3 - 17*p**2 as c*p**2 + u*p**3 + s*p + h and give h. -42 Express (0 - 3 - 1)*(0*v**3 + 2*v**3 - 3*v**3)*(2 - 4 + 1) as h*v + w*v**2 + y + u*v**3 and give u. -4 Express 2*q**3 - 2*q**3 + q**3 + (-1 - 2*q**2 + 1)*(-6*q + 3*q + q) in the form g*q**3 + u + b*q**2 + t*q and give u. 0 Rearrange 393 - 393 + 90*b**2 to the form s + o*b + h*b**2 and give h. 90 Express (-5*h + 11 + 14*h - 3*h)*(-2*h + 4*h - 3*h) as m + i*h + b*h**2 and give m. 0 Rearrange 1 + 3*m**3 - 5*m**4 + 7*m**4 + 0*m**4 - m**2 to the form v*m**2 + w*m**4 + z*m**3 + g + q*m and give z. 3 Rearrange o**3 + 0*o**3 - o**2 + 0*o**3 + 11 to the form v*o + f*o**2 + h + z*o**3 and give f. -1 Express -36*n**3 - 6*n**2 + 66*n**3 - 33*n**3 - n**4 as p*n**3 + a + y*n + h*n**2 + m*n**4 and give p. -3 Express 5*m - 2*m + 1 + 5*m + 0*m in the form r*m + y and give y. 1 Rearrange (-5*g**2 + g**2 + 3*g**2)*(0 + 2*g + 0 + (-g - g + 0*g)*(1 - 2 - 1) + g - g - g) to h*g**2 + i + j*g**3 + c*g and give j. -5 Rearrange -12*i + 0*i - 9*i + 4*i to the form o + h*i and give h. -17 Rearrange (2*m - 1 + 1)*(1 + 5*m - 7*m + 0) to f + g*m + h*m**2 and give g. 2 Rearrange (-2 + 0 - 2)*(-11*z + 37 - 37)*(-z + 2*z**3 + z)*(4 - 5 + 2) to y*z + s + k*z**2 + l*z**4 + i*z**3 and give i. 0 Rearrange (b**2 - 2*b**2 + 0*b**2)*((2 - 5 + 2)*(0 + 0 - 2*b) - b - 4*b - b + 8*b + 1 - 1) to the form j*b**2 + s + z*b + k*b**3 and give k. -4 Express 25 - l - 25 - 57*l**3 in the form r*l**3 + y*l + a*l**2 + b and give r. -57 Express 1 + 0*p**4 - 3*p + 2*p**4 - 5 - 2*p**2 + 2 as c*p + u*p**2 + s*p**3 + w*p**4 + l and give u. -2 Rearrange 3*q**3 + 2 - 3 + 2*q**2 - 4*q**3 + (-5 + 3 + 13)*(-2*q**3 + 2 - 2) to b + l*q + g*q**2 + c*q**3 and give g. 2 Express 29*a + 11*a + 54*a + 69*a in the form q + k*a and give k. 163 Express (-5*z + 2*z + 2*z)*(-4 - 2*z**3 + 4 - 3*z) + (5*z**4 - z**4 - 2*z**4)*(1 + 0 - 6) as t*z**4 + y*z + s*z**3 + w + r*z**2 and give t. -8 Rearrange -o + 0 - o + 9 + 7 + 4*o - 7 + (o - 2*o + 0*o)*(-1 + 1 - 2) to c + b*o and give b. 4 Rearrange 24*p**2 - 4*p + 15 - 15 + 0*p to v*p**2 + q*p + h and give v. 24 Express -2*c + 6*c + 2*c + 12*c as t + r*c and give r. 18 Rearrange (-2*x + 2*x - x + 2*x**2)*(-5 + 15 + 0*x + 2*x) to the form w*x**3 + c + k*x**2 + p*x and give p. -10 Express (-174*j + 72*j - 2 + 58*j)*(4*j - j - 2*j) as l*j**2 + d*j + z and give d. -2 Express -5*u - 8*u - 7*u - 12 + 18*u as j*u + l and give j. -2 Express -3*r - 65*r**3 + 61*r**3 + 0*r + r**2 as k + c*r**3 + x*r + z*r**2 and give z. 1 Express 4*n**2 + 9 - 9 + 11*n**2 in the form i*n**2 + l*n + c and give i. 15 Rearrange -3 - 5*v**2 + v**2 + v**2 - 2*v**2 to the form m + l*v**2 + o*v and give l. -5 Rearrange -1978*w**2 + w**4 + w + 1978*w**2 - 4*w**3 to q + c*w**2 + k*w**4 + j*w**3 + l*w and give k. 1 Rearrange -2*t + 123 - 2*t**2 + 144 - 298 - t**2 + 1 - 1 + (5*t - 5*t - t)*(1 + 2*t - 1) + 0*t**2 - 3*t**2 + t**2 to d*t**2 + r*t + h and give h. -31 Express -4*w**2 - 2*w**4 + w**2 + w**3 + w**2 - 4*w**2 as n*w**3 + x + o*w + f*w**4 + v*w**2 and give n. 1 Express 1 + 2*q**2 - 1 + (6*q - 2*q - 7*q)*(3*q - 4*q - q) in the form f*q + x + u*q**2 and give u. 8 Express -107*i + 44*i - 116*i as j*i + m and give j. -179 Rearrange (-2 - 1 + 4)*(13*b + 4 - 4)*(-2 + 5 - 2) to the form k*b + f and give f. 0 Rearrange 1 + 2*q**2 - 1 + (-q - 3*q + 5*q)*(-7*q + 6*q - 18*q)*(-4 + 0 + 9) to l + g*q + d*q**2 and give d. -9
{ "pile_set_name": "DM Mathematics" }
*(9*a - 2)**2/3 Factor -54*o**2/7 - 158*o/7 + 12/7. -2*(o + 3)*(27*o - 2)/7 Factor 4*z**5 - 28*z**4 - 4*z**3 + 28*z**2. 4*z**2*(z - 7)*(z - 1)*(z + 1) Factor -4*o**2/5 + 5896*o/5 - 2172676/5. -4*(o - 737)**2/5 Let 3*y**3 - 9*y**2 - 39*y + 45 = 0. What is y? -3, 1, 5 Factor 2*o**3 + 1478*o**2 - 2*o - 1478. 2*(o - 1)*(o + 1)*(o + 739) Let 4*q**4/9 - 1132*q**3/9 - 760*q**2/3 = 0. Calculate q. -2, 0, 285 Suppose -2*n**3/5 + 42*n**2/5 + 248*n/5 + 312/5 = 0. What is n? -3, -2, 26 Factor 2*k**3 - 258*k**2 + 11094*k - 159014. 2*(k - 43)**3 Find c such that -2*c**4 - 100*c**3 - 1706*c**2 - 11400*c - 25992 = 0. -19, -6 Find q, given that -4*q**5/5 - 7*q**4/5 + 14*q**3/5 + 29*q**2/5 + 8*q/5 - 4/5 = 0. -2, -1, 1/4, 2 Solve -5*x**3/7 + 12*x**2/7 - 9*x/7 + 2/7 = 0 for x. 2/5, 1 Factor 75*n**4/7 + 960*n**3/7 + 3432*n**2/7 + 2304*n/7 + 432/7. 3*(n + 6)**2*(5*n + 2)**2/7 Solve -2*s**4 - 1566*s**3 - 305760*s**2 + 307328*s = 0. -392, 0, 1 Factor w**4 - 3*w**3 - 2*w**2 + 12*w - 8. (w - 2)**2*(w - 1)*(w + 2) Determine z, given that -3*z**2 + 27*z - 60 = 0. 4, 5 Determine r so that 5*r**2/2 + 8175*r/2 = 0. -1635, 0 Factor 10*s**2/9 + 128*s/3 + 152/9. 2*(s + 38)*(5*s + 2)/9 Factor 3*o**3 - 18*o**2 - 75*o - 54. 3*(o - 9)*(o + 1)*(o + 2) Let 12*f**4 - 880*f**3 + 17512*f**2 - 49840*f + 14700 = 0. Calculate f. 1/3, 3, 35 Suppose -q**5 - 11*q**4 + 15*q**3 + 35*q**2 - 14*q - 24 = 0. What is q? -12, -1, 1, 2 Factor -3*v**3 + 168*v**2 - 1188*v + 1728. -3*(v - 48)*(v - 6)*(v - 2) Suppose -3*s**5/5 - 33*s**4/5 - 126*s**3/5 - 42*s**2 - 159*s/5 - 9 = 0. Calculate s. -5, -3, -1 Factor 3*n**2/7 + 1581*n. 3*n*(n + 3689)/7 Factor 4*o**3/3 - 180*o**2 + 528*o. 4*o*(o - 132)*(o - 3)/3 Solve z**3/3 - 14*z**2/3 + 35*z/3 - 22/3 = 0. 1, 2, 11 Let 3*w**4/4 + 3*w**3/4 - 171*w**2/4 - 3*w/4 + 42 = 0. Calculate w. -8, -1, 1, 7 Factor 3*f**4 - 6*f**3 - 369*f**2 - 1740*f - 2100. 3*(f - 14)*(f + 2)*(f + 5)**2 Find q, given that -5*q**3/3 - 2265*q**2 - 1026045*q - 154932795 = 0. -453 Solve -2*n**3/7 - 46*n**2/7 - 268*n/7 - 32 = 0 for n. -14, -8, -1 Factor 3*f**3 - 13*f**2 + 55*f/3 - 25/3. (f - 1)*(3*f - 5)**2/3 Find w, given that -3*w**4/5 - 132*w**3/5 - 1314*w**2/5 + 3036*w/5 - 1587/5 = 0. -23, 1 Solve -h**5/6 + h**4/2 - h**3/6 - h**2/2 + h/3 = 0 for h. -1, 0, 1, 2 Factor -6*v**3 - 237*v**2 - 99*v + 702. -3*(v + 2)*(v + 39)*(2*v - 3) Determine b, given that b**4/2 + 47*b**3/2 - 51*b**2 - 9920*b - 19456 = 0. -32, -2, 19 Factor -5*w**2/6 - 10*w/3 - 5/2. -5*(w + 1)*(w + 3)/6 Factor -3*c**2/8 + 1779*c/8 - 1773/4. -3*(c - 591)*(c - 2)/8 Factor 2*g**4 + 18*g**3 - 2*g**2 - 18*g. 2*g*(g - 1)*(g + 1)*(g + 9) Let j**2 - 122*j + 3721 = 0. What is j? 61 Solve h**2/5 + 31*h/5 - 32/5 = 0. -32, 1 Factor -2*f**4/3 + 2*f**3/3 + 8*f**2. -2*f**2*(f - 4)*(f + 3)/3 Factor -25*m**2 + 10*m. -5*m*(5*m - 2) Factor 4*d**3 - 68*d**2 + 56*d + 128. 4*(d - 16)*(d - 2)*(d + 1) Suppose 3*i**5/2 - 119*i**4 + 271*i**3 - 114*i**2 - 233*i/2 + 77 = 0. Calculate i. -2/3, 1, 77 Factor r**2/4 + 885*r/4. r*(r + 885)/4 Factor 2*q**5/5 + 8*q**4 - 42*q**3/5. 2*q**3*(q - 1)*(q + 21)/5 Factor 2*b**2 + 192*b + 4608. 2*(b + 48)**2 What is t in 20*t**5 + 176*t**4 - 836*t**3 - 560*t**2 + 3024*t - 576 = 0? -12, -2, 1/5, 2, 3 Factor 33*j**3/2 - 162*j**2 + 366*j + 72. 3*(j - 6)*(j - 4)*(11*j + 2)/2 Solve 2*l**5/5 + 11*l**4/10 - 79*l**3/10 + 7*l**2/10 + 15*l/2 - 9/5 = 0. -6, -1, 1/4, 1, 3 Factor 3*q**2 - 228*q + 225. 3*(q - 75)*(q - 1) Factor -u**5 - 7*u**4 + 3*u**3 + 55*u**2 - 50*u. -u*(u - 2)*(u - 1)*(u + 5)**2 Find y such that -2*y**4 + 6*y**3 + 22*y**2 - 6*y - 20 = 0. -2, -1, 1, 5 Factor 4*o**2 - 3540*o - 3544. 4*(o - 886)*(o + 1) Factor 4*s**5 - 93*s**4 + 23*s**3. s**3*(s - 23)*(4*s - 1) Factor 5*n**2 + 2650*n + 351125. 5*(n + 265)**2 Let -26*w**5/3 - 158*w**4/3 + 274*w**3/3 + 1582*w**2/3 - 2480*w/3 - 200/3 = 0. Calculate w. -5, -1/13, 2 Solve -3*o**3 + 189*o**2 + 390*o = 0. -2, 0, 65 Factor s**3 - 64*s**2/3 + 319*s/3 + 242/3. (s - 11)**2*(3*s + 2)/3 Find u, given that -2*u**3/3 + 522*u**2 - 101920*u - 307328/3 = 0. -1, 392 Determine d, given that -4*d**2/3 - 1120*d + 3372 = 0. -843, 3 Factor -k**2 - 259*k. -k*(k + 259) Factor 6*m**3 - 596*m**2 + 194*m + 396. 2*(m - 99)*(m - 1)*(3*m + 2) Factor -3*p**3 + 144*p**2 - 2304*p + 12288. -3*(p - 16)**3 Factor -4*p**2/7 - 40*p/7. -4*p*(p + 10)/7 Let 5*a**5 + 420*a**4 - 4535*a**3 + 15310*a**2 - 18720*a + 7520 = 0. Calculate a. -94, 1, 4 Factor 28*g**2 - 10060*g + 2872. 4*(g - 359)*(7*g - 2) What is c in -2*c**2/7 + 542*c/7 + 544/7 = 0? -1, 272 Determine m, given that m**2/5 + 2*m/5 + 1/5 = 0. -1 Let -b**2/7 + 60*b/7 - 900/7 = 0. Calculate b. 30 Factor -3*h**2 + 2421*h + 2424. -3*(h - 808)*(h + 1) Find p, given that 2*p**4/13 - 176*p**3/13 - 548*p**2/13 + 176*p/13 + 42 = 0. -3, -1, 1, 91 Factor 4*x**5 + 16*x**4 + 24*x**3 + 16*x**2 + 4*x. 4*x*(x + 1)**4 Solve 20*k**5 - 368*k**4 + 1104*k**3 - 1304*k**2 + 668*k - 120 = 0 for k. 2/5, 1, 15 Factor -3*w**2 + 12*w. -3*w*(w - 4) Factor 4*x**3/3 - 32*x**2/3 + 20*x/3 + 56/3. 4*(x - 7)*(x - 2)*(x + 1)/3 What is l in l**3/4 + 367*l**2/4 + 34571*l/4 + 163805/4 = 0? -181, -5 Factor -g**2/4 - 119*g/4 + 30. -(g - 1)*(g + 120)/4 Factor -o**3/2 + 11*o**2 + o/2 - 11. -(o - 22)*(o - 1)*(o + 1)/2 Factor 2*j**2/9 + 4*j/3. 2*j*(j + 6)/9 What is q in 224*q**4 + 2600*q**3 - 1076*q**2 - 236*q + 48 = 0? -12, -1/4, 1/7, 1/2 Factor -r**3/4 - 37*r**2/4 - 41*r - 32. -(r + 1)*(r + 4)*(r + 32)/4 Find w such that w**2 + 19*w - 42 = 0. -21, 2 Determine d so that 4*d**5/5 - 17*d**4/5 + 12*d**3/5 + 14*d**2/5 - 16*d/5 + 3/5 = 0. -1, 1/4, 1, 3 Factor u**4/6 - u**3/3 + u/3 - 1/6. (u - 1)**3*(u + 1)/6 Factor 3*s**2 + 87*s + 570. 3*(s + 10)*(s + 19) Factor 3*f**2/4 + 375*f + 46875. 3*(f + 250)**2/4 Determine a so that -2*a**5/7 - 22*a**4/7 + 60*a**3/7 + 100*a**2/7 - 58*a/7 - 78/7 = 0. -13, -1, 1, 3 Factor y**5/4 + 5*y**4/2 + 39*y**3/4 + 37*y**2/2 + 17*y + 6. (y + 1)*(y + 2)**3*(y + 3)/4 Factor 2*q**2 + 96*q - 98. 2*(q - 1)*(q + 49) Suppose 2*v**3/17 + 14*v**2 + 7198*v/17 + 6962/17 = 0. What is v? -59, -1 Factor -u**3 + 5*u**2 + 14*u. -u*(u - 7)*(u + 2) Let 26*d**5 - 186*d**4 + 158*d**3 + 162*d**2 - 184*d + 24 = 0. Calculate d. -1, 2/13, 1, 6 Factor -o**3/4 + 31*o**2/4 - 255*o/4 + 225/4. -(o - 15)**2*(o - 1)/4 Find i, given that -2*i**4 + 12*i**3 - 18*i**2 = 0. 0, 3 Solve -4*r**2 + 140*r + 800 = 0 for r. -5, 40 Solve -4*r**3/5 - 84*r**2/5 - 152*r/5 = 0 for r. -19, -2, 0 Suppose 3*a**5/2 - 303*a**4 + 1782*a**3 - 3540*a**2 + 2352*a = 0. Calculate a. 0, 2, 196 Factor 3*o**3 - 39*o**2 - 270*o. 3*o*(o - 18)*(o + 5) Let -7*t**4 + 772*t**3 - 9971*t**2 + 35714*t - 9408 = 0. What is t? 2/7, 7, 96 Factor -3*u**5 + 24*u**3 - 48*u. -3*u*(u - 2)**2*(u + 2)**2 Factor 4*v**5/3 + 404*v**4/3 + 796*v**3/3 + 132*v**2. 4*v**2*(v + 1)**2*(v + 99)/3 Determine b, given that 9*b**4/5 - 34*b**3/5 - 8*b**2/5 = 0. -2/9, 0, 4 Suppose 2*k**2/7 - 216*k/7 + 214/7 = 0. What is k? 1, 107 Solve -4*w**5 + 76*w**4 - 124*w**3 - 236*w**2 + 560*w - 272 = 0 for w. -2, 1, 2, 17 Let -2*j**4 - 2*j**3 + 60*j**2 = 0. Calculate j. -6, 0, 5 What is h in -48*h**4/7 - 242*h**3/7 - 346*h**2/7 - 158*h/7 - 6/7 = 0? -3, -1, -1/24 Determine a, given that 95*a**3/7 + 258*a**2/7 - 227*a/7 - 18 = 0. -63/19, -2/5, 1 Factor 4*u**3/5 - 1032*u**2/5 + 88752*u/5 - 2544224/5. 4*(u - 86)**3/5 Factor -2*p**4/17 + 16*p**3/17 + 18*p**2/17. -2*p**2*(p - 9)*(p + 1)/17 Factor -5*i**5 - 5*i**4 + 5*i**3 + 5*i**2. -5*i**2*(i - 1)*(i + 1)**2 Find r, given that -12*r**5 + 432*r**4 + 1377*r**3 + 1053*r**2 = 0. -3/2, 0, 39 Factor 3*h**3/5 + 51*h**2/5 + 237*h/5 + 189/5. 3*(h + 1)*(h + 7)*(h + 9)/5 Solve 2*f**4/3 - 8*f**3 - 40*f**2 + 1600*f/3 = 0. -8, 0, 10 Suppose 8*x**5/5 + 56*x**4/5 - 294*x**3/5 - 544*x**2/5 - 22*x/5 + 36 = 0. What is x? -10, -1, 1/2, 9/2 Solve -5*b**5 - 415*b**4 - 10310*b**3 - 71730*b**2 - 194805*b - 184815 = 0. -37, -3 Let 4*d**5 + 52*d**4 + 180*d**3 - 100*d**2 - 1000*d = 0. What is d? -5, 0, 2 Factor -4*q**2/5 - 96*q - 476/5. -4*(q + 1)*(q + 119)/5 Factor -y**4/4 + y**3/4 + 3*y**2/4 - 5*y/4 + 1/2. -(y - 1)**3*(y + 2)/4 Factor h**3/4 + 45*h**2/4 + 271*h/2 + 228. (h + 2)*(h + 19)*(h + 24)/4 Factor -3*w**5 + 54*w**4 - 312*w**3 + 816*w**2 - 1008*w + 480. -3*(w - 10)*(w - 2)**4 Determine o so that -o**2 + 8*o + 20 = 0. -2, 10 Solve 3*h**3/7 - 57*h**2/7
{ "pile_set_name": "DM Mathematics" }
the prime factors of f(y)? 17 Let z(y) = -y**2 + 10*y - 2. Let p be z(10). Let c = 8 + p. Let v(a) = a**3 - 5*a**2 - a - 1. List the prime factors of v(c). 29 Suppose 86*f - 1105 = 81*f. What are the prime factors of f? 13, 17 List the prime factors of (-6)/(-4)*74 + 84 + -79. 2, 29 Suppose -87 = 3*f - 1083. Suppose -178 = -p - p + 5*v, -4*v - f = -4*p. What are the prime factors of p? 79 Suppose 6*k = 4*k + v + 8, -5*v = k + 7. Suppose -s = -0*s - o - 137, -2*s + k*o + 272 = 0. What are the prime factors of s? 139 Suppose 3*m - 423 = -3339. Suppose 0 = 2*u + 4*i + 12, -2 = u + 2*i - i. List the prime factors of m/(-24) + u/(-4). 2, 5 Suppose -4 = 4*n - 2*s + 6*s, -2*n = -4*s + 20. Let h be 20/3*6/5. Let g = h - n. List the prime factors of g. 2, 3 Let q(b) = b**2 - 5*b - 5. Let f be q(6). What are the prime factors of 2/(f + (-57)/60)? 2, 5 Let v = -368 - -575. Let j = v + -144. Let s = j + -16. What are the prime factors of s? 47 Let c = -29 + 33. Suppose -k - k = c. What are the prime factors of 228/12 + k/2? 2, 3 Suppose 0 = -2*v - 0*v - 5*u + 1151, 4*u = 20. List the prime factors of v. 563 Let b(r) = 21*r**2 + 19*r + 77. What are the prime factors of b(14)? 7, 13 Suppose 22*g - 16*g = 1284. List the prime factors of g. 2, 107 Let o = -1202 + 3737. List the prime factors of o. 3, 5, 13 Suppose -85*m + 83*m = -262. What are the prime factors of m? 131 What are the prime factors of (62/(-4) + 16)/((-2)/(-3140))? 5, 157 Suppose 0 = -43*g + 35*g + 25784. What are the prime factors of g? 11, 293 Let u(l) be the second derivative of -1/6*l**3 + 1/20*l**5 + 0*l**2 + 2*l + 0 + 0*l**4. List the prime factors of u(2). 2, 3 List the prime factors of ((-234)/(-5))/(-7*22/(-1155)). 3, 13 Suppose 2*c = -0*c + 5*d + 16, -2*d = 4. Let p be (c/(-6))/((-1)/6). Suppose 4*z + 5*t = 252, 0*t = z + p*t - 56. What are the prime factors of z? 2, 17 Let q(p) be the first derivative of 3*p**2/2 + 11*p - 2. List the prime factors of q(11). 2, 11 Let d = 32 + -59. Let c = 28 + d. Let t = 8 - c. List the prime factors of t. 7 Suppose 4*s = -5*i + 164, -3*s + 2*i = -0*i - 100. Suppose -48 - s = -2*j. What are the prime factors of j? 2, 3, 7 Let i = -17 + 18. List the prime factors of 3 + i/((-2)/(-24)). 3, 5 Let w be ((3 - 2) + 0)*5. Suppose -4*a = w*m + 63 + 9, -21 = 3*m - 5*a. Let b(h) = h**3 + 12*h**2 - 2*h - 7. What are the prime factors of b(m)? 17 Let d(m) = m**3 - 10*m**2 - 8*m - 10. Let p(h) = -h**2 + 11*h - 1. Let l be p(11). Let w be (88/32)/(l/(-4)). List the prime factors of d(w). 23 Suppose 42*p = 37*p + 7100. List the prime factors of p. 2, 5, 71 Suppose 2*k + 5336 = 2*p, -5*k = 4*p + 1934 - 12624. What are the prime factors of p? 2, 3, 5, 89 Let u be 3 + (-3)/(9/(-177)). Suppose h = 3*g + 46, h + g - u = -0. List the prime factors of h. 2, 29 Suppose -1000 = -17*c + 3692. What are the prime factors of c? 2, 3, 23 Suppose 24*h = -6*h + 23670. List the prime factors of h. 3, 263 Let w be 4/(-8) + 19/2. Suppose -w*f = -5*f - 152. List the prime factors of f. 2, 19 Let h = -29 + 33. Suppose 5*u = 2*q - q - 10, 5*q - h*u = 29. Suppose 2*p + 5*d - 118 = -13, p - 60 = q*d. What are the prime factors of p? 5, 11 Suppose -2*r + 496 = -318. Suppose -167 = -7*x + r. What are the prime factors of x? 2, 41 Let r = 82 + 190. List the prime factors of r. 2, 17 List the prime factors of (310/(-30) - -7)*-196*6. 2, 5, 7 Let n(o) = 70*o**3 - 2*o + 1. Let u be n(1). Let t = u - 39. List the prime factors of t. 2, 3, 5 Suppose 3*b - 859 = 2042. What are the prime factors of b? 967 Let d(t) = 4*t**2 - 8*t - 1. List the prime factors of d(12). 479 Let x(p) = -p**2 - 6*p. Let i(o) = 2*o**2 + 13*o + 1. Let h(r) = -4*i(r) - 9*x(r). Let a be h(-4). Let k = 10 - a. What are the prime factors of k? 2, 3 Suppose -d - 335 = 4*d. Let s be (1 - (-1113)/(-11)) + (-142)/(-781). Let l = d - s. What are the prime factors of l? 3, 11 Suppose -132*m = -121*m - 10439. List the prime factors of m. 13, 73 Let l(k) = -k**3 - 3*k**2 - 6*k - 12. Let f = -50 - -45. List the prime factors of l(f). 2, 17 Let y(a) be the first derivative of -7*a**3/3 - a**2 - 4*a - 6. Let w(g) be the first derivative of y(g). What are the prime factors of w(-1)? 2, 3 Suppose 0 = -2*c - 0*c + 5*j + 18, 0 = -5*c + 5*j + 60. Let x = -9 + c. What are the prime factors of 4/40*26*x? 13 Let p(j) = -j**3 + 14*j**2 + 13*j + 51. List the prime factors of p(12). 3, 5, 11 Let v(g) = g - 20. Let x be v(23). Suppose -3*w - 531 = -x*c, 0 = -2*c - 7*w + 4*w + 354. What are the prime factors of c? 3, 59 Suppose 0 = -19*d + 7*d + 3960. List the prime factors of d. 2, 3, 5, 11 Suppose -18*l = 4747 - 12433. Suppose x - 4*g + 58 - 183 = 0, 3*x + g = l. What are the prime factors of x? 3, 47 Suppose -4*o + 2*y = -6270, 12*y - 13*y = 2*o - 3137. List the prime factors of o. 2, 7 Suppose d - 2*d = 0. Suppose -2*j - 30 = -5*p + 2*j, 2*p - 4*j - 24 = d. Suppose 5*s - 2*s = -5*b + 72, 6 = p*b. List the prime factors of s. 19 Let r(a) = -1004*a - 102. What are the prime factors of r(-3)? 2, 3, 5, 97 Let u = 1166 - 1129. Let y = -2 - -7. Suppose u = q - y. List the prime factors of q. 2, 3, 7 Suppose -2*h - 11*z + 4480 = -16*z, -2*z - 8976 = -4*h. What are the prime factors of h? 5, 449 Suppose 1408 - 91 = 3*q - 2*t, 2*q - 4*t - 870 = 0. List the prime factors of q. 3, 7 Let d(g) = -44*g - 224. What are the prime factors of d(-17)? 2, 131 Let c(r) = r**3 - 11*r**2 - r + 11. Let k be c(11). Suppose -13*w + 15*w - 166 = k. What are the prime factors of w? 83 Let k(y) = 13*y**2 + 20*y - 67. What are the prime factors of k(4)? 13, 17 Let f be (2 - -2) + 15/5. Suppose 5*s + 42 = f*s. What are the prime factors of s? 3, 7 Suppose 6*q - 3 - 21 = 0. Suppose 44 = q*a - 2*d, -4*a + 32 = -3*d - 16. What are the prime factors of a? 3 Suppose 0 = -3*q + 5*b + 8, -6 = q - 2*q + 5*b. Suppose -5*v + 3*v + w - 190 = 0, -w - 194 = 2*v. What are the prime factors of -1 - (v/4)/q? 23 Let g be (3/9)/((-1)/(-27)). Let f be ((-3)/g)/(2/(-24)). Suppose k - 3 = 4*d, f*k + d = -2*d + 88. What are the prime factors of k? 19 Let f(u) = 15*u - 7. Let z be f(6). Suppose 2*t + 206 = 5*v, -2*v + t = -0*t - z. What are the prime factors of v/(-15)*6/(-4)? 2 Suppose r = n - 4, r + 4*n - 9 = -2*r. Suppose s - 2 = -0*s. List the prime factors of (r + s)/((-2)/(-8)). 2 Let n = -21 + 20. Let u(i) be the third derivative of -i**4/8 - i**3/6 + 2*i**2. List the prime factors of u(n). 2 List the prime factors of 9/(-15) - (584220/25)/(-13). 3, 599 Suppose 5*d - 22 = -7. Suppose 4*g = -2*c + 98, 0 = -2*c + d*g + 154 - 42. What are the prime factors of c? 53 Let i = -38 + 45. Suppose 5*a = 58 + i. What are the prime factors of a? 13 Let u = -3098 + 7454. List the prime factors of u. 2, 3, 11 Suppose -10 + 14 = -4*z. List the prime factors of 257 + z + -6 + 4 - 3. 251 Let l(r) be the third derivative of 65*r**4/24 + r**3/6 + 3*r**2. What are the prime factors of l(1)? 2, 3, 11 Let p = -3 - -7. Suppose p*q - 5 + 1 = 0, -6 = -x - q. Suppose 65 = 4*s - 3*a, x*s - a - 84 = -0*a. What are the prime factors of s? 17 Let n = 2260 + -1299. List the prime factors of n. 31 Let r be 2/(-4 + 2)*0. Suppose 5*p - 5*k + 15 = r, -2*k + 6 = -3*p + 4*p. Let w = 54 + p. List the prime factors of w. 2, 3 Suppose j = -2*j + 15. Suppose j*g - 606 = -36. What are the prime factors of g? 2, 3, 19 Suppose f = -3*n - 0 + 12, 0 = 3*n - 4*f - 12. Suppose 59 = n*o - 17. What are the prime factors of o? 19 What are the prime factors of (1788/8)/(9/18)? 3, 149 List the prime factors of 26451/((-18)/(-2)) - 20/(-4). 2, 23 Let j(f) = 3*f**3 - f**2. Let b be j(1). Suppose b*k = k + 188. List the prime factors of k. 2, 47 Let w(g) = -g**2 + 5*g + 1. Let j be w(4). Let m be 2/25*j*35. Suppose m = -q + 50. What are the prime factors of q? 2, 3 Let y(d) = 496*d**2 - 247*d**2 - 236*d**2 - d + 4. List the prime factors of y(3). 2, 59 List the prime factors of 230 + (-5)/(-10)*2 - 3. 2, 3, 19 Suppose -r = 0, 4840 = -8*w + 12*w + 5*r. What are the prime factors of w? 2, 5, 11 Suppose -4095 = -38*l + 31*l. What are the prime factors of l? 3, 5, 13 Suppose -22*b = -20*b - 712. List the prime factors of b. 2, 89 Let o(c) = -5*c - 4. Suppose 5*i = 2*i - 12. Let u be o(i). Let h = 28 - u. What are the prime factors of h? 2, 3 Let
{ "pile_set_name": "DM Mathematics" }
+ 432*i*w + 18*w What is the second derivative of 5241*i**3 - 476*i - 4? 31446*i What is the second derivative of 2*n**3*p*t + 85*n**3*p + 2*n**2*p*t + 100*n*p*t + n*p + 2*n*t + 2*t wrt n? 12*n*p*t + 510*n*p + 4*p*t Differentiate 154*i**3 + 86 wrt i. 462*i**2 What is the third derivative of 3*b**3*j**3 + 47*b**3 - 651*b**2*j**3 - b**2*j**2 wrt b? 18*j**3 + 282 What is the second derivative of 181*o*u**3 - o*u**2 - 59*o*u + u wrt u? 1086*o*u - 2*o Find the third derivative of 66*n**5*z - n**3*u - 5*n**3*z - 72*n**2 - 5*u*z wrt n. 3960*n**2*z - 6*u - 30*z Find the second derivative of -m**3*p**2 + 2*m**3*p - 2*m**2*p**2 + 49*m**2*p + 2282*p**2 - 9*p - 3 wrt p. -2*m**3 - 4*m**2 + 4564 Find the third derivative of -16018*s*w**3 - 2*s*w + w**2 + 1014*w wrt w. -96108*s Find the third derivative of -h**4*k - h**4 - 5*h**3*k + 100*h**3 - h**2*k + 5*h**2 + 2*k + 112 wrt h. -24*h*k - 24*h - 30*k + 600 What is the second derivative of 4*c**5 - 5*c**3 + 83*c**2 + 2367*c wrt c? 80*c**3 - 30*c + 166 Differentiate 244*s**3*t**2 + s**3 - 2*s**2 - s*t**2 + s*t + 4*t**2 + 228 wrt t. 488*s**3*t - 2*s*t + s + 8*t What is the derivative of -21408*a*f - 33*a - 27 wrt f? -21408*a Differentiate 108*h*v*x - 201*h*v + 4*h*x + 2*v*x with respect to x. 108*h*v + 4*h + 2*v Differentiate -6409*f**2 - 4002 wrt f. -12818*f What is the third derivative of -6859*n**3 + 7*n**2 + 34*n wrt n? -41154 What is the second derivative of -10281*h*q**2 - 18880*h*q - q**2 wrt q? -20562*h - 2 Find the third derivative of 5841*u**5 + 2*u**3 - 2305*u**2 + 2 wrt u. 350460*u**2 + 12 Differentiate -3231*g**4*z + g*z**3 + 607*z**3 + z**2 - 2*z wrt g. -12924*g**3*z + z**3 Find the second derivative of -91*m*t**2*y**3 - 2*m*t**2*y**2 + m*t**2 + 19*m*t*y**3 + 2*m*y - t*y**3 + t wrt t. -182*m*y**3 - 4*m*y**2 + 2*m What is the derivative of 368*l + 5062 wrt l? 368 Find the second derivative of 1228*b**3 + b + 34 wrt b. 7368*b Find the third derivative of 7147*p**3 - 875*p**2. 42882 What is the second derivative of -2*c*r**2*x*y + 2*c*r**2*y - 3*c*r*x**2 + c*r*x - 233*c*x**2*y - 2*r**2*x**2 - 5090*y wrt x? -6*c*r - 466*c*y - 4*r**2 Differentiate -2*b*c - 28*b*x**2 + 3*b + 2*c*x - 174*x**2 with respect to b. -2*c - 28*x**2 + 3 What is the second derivative of -6*a**2*l**2 + 7*a**2*l - 54*a**2 + 19*a*l**2*x + a*l*x + 2*a wrt l? -12*a**2 + 38*a*x Find the first derivative of 274*b**3*t*z - 3*b**3*t - 98*b*t wrt z. 274*b**3*t Find the first derivative of -7*b**3*g - 795*b**3 + 2*b + 211*g**2 wrt g. -7*b**3 + 422*g Find the second derivative of -5*i**3*j*o**2 + 2*i**3*n + i**3*o - i**2*j*n + 3*i**2*j + 17*i*j*n*o**2 - i*j*o**2 + j*o wrt o. -10*i**3*j + 34*i*j*n - 2*i*j What is the second derivative of 5*l**2*u*v + 8*l**2*v + 2*l*v - l + 3*u wrt l? 10*u*v + 16*v Differentiate 5*k**4 - k - 959 wrt k. 20*k**3 - 1 Find the first derivative of 8514*p**3 + 2693. 25542*p**2 What is the third derivative of 32*y**5 - 8*y**4 + 306*y**2? 1920*y**2 - 192*y Find the second derivative of 26*w**4 - 2*w - 1241. 312*w**2 Find the third derivative of -61*c**3*t**2 - c**3 - 7*c**2 + 35*t**2 wrt c. -366*t**2 - 6 What is the second derivative of -159*d**2*u**2 + 4*d**2*u*w**3 - 73*d**2*w + 4*d*u**2*w**3 + u*w**3 + 2*u*w**2 wrt u? -318*d**2 + 8*d*w**3 What is the second derivative of -7741*y**5 + 5889*y + 1 wrt y? -154820*y**3 What is the derivative of -2*j**2*w**2 + 33*j**2 - 1447*j*w**2 + 36*j wrt w? -4*j**2*w - 2894*j*w Find the third derivative of f*n**3*q - 48*f*n**3 - 914*f*n**2*o*q - 4*f*n*q + n**3*o + 2*n**2 wrt n. 6*f*q - 288*f + 6*o Differentiate 21*h**4*o + 2*h*o - 75*o - 1 with respect to h. 84*h**3*o + 2*o What is the second derivative of n*q**2*v**3 + 2*n*q**2 + 2*n*q*v**3 + 6*n*v**3 + 4*q**2*v**2 + 3*q wrt q? 2*n*v**3 + 4*n + 8*v**2 Find the first derivative of 2220*o - 1979. 2220 Differentiate 471*j**4 + j + 414 wrt j. 1884*j**3 + 1 Find the third derivative of 21*r**5*u - 7*r**5 - r**3*u + 5*r**2 - 4*r*u - 3*u wrt r. 1260*r**2*u - 420*r**2 - 6*u Find the third derivative of 71*d*l**3*t**3 + 2*d*l**2 - 63*l**3*t**3 - 2*l**2*t - 192*l*t - t**3 wrt l. 426*d*t**3 - 378*t**3 Find the third derivative of 13*j**3*t**2 + j**3 - 6*j**2*t**2 + 2*j**2*t wrt j. 78*t**2 + 6 What is the second derivative of 83*q**2 - 483*q? 166 Find the second derivative of 2*r*x**3 - 2022*r*x**2 - 68*r*x + 3*r - 2 wrt x. 12*r*x - 4044*r What is the first derivative of 3458*u**4 - 9359? 13832*u**3 What is the second derivative of -6*a**5 - 4*a**3 + 7*a - 3 wrt a? -120*a**3 - 24*a Differentiate -4*w**2 + 444*w - 1660 with respect to w. -8*w + 444 Differentiate -2*k*s - 23*k + 128*s + 3 wrt s. -2*k + 128 Find the second derivative of k**3 + 1774*k**2 + 8036*k. 6*k + 3548 What is the third derivative of -2*f*q**4 - 37*f*q**3 + 2*f*q**2 + 5335*f + 2*q**4 + 3*q**3 wrt q? -48*f*q - 222*f + 48*q + 18 What is the first derivative of -58*l - 43 wrt l? -58 Differentiate 6*f**3 + 13*f + 105 wrt f. 18*f**2 + 13 Find the first derivative of 4*g**4 - 1008*g**2 + 9709. 16*g**3 - 2016*g Find the second derivative of 32*p**3 - 2*p wrt p. 192*p Find the second derivative of -26921*b**2*g**2 - 2208*b*g**2 - 2*g**2 wrt b. -53842*g**2 Differentiate 154*u - 99 wrt u. 154 What is the derivative of 3*j**2*l**3 - 517*j**2*l - 2*l**3 - 2256*l**2 wrt j? 6*j*l**3 - 1034*j*l What is the derivative of -2*l**2*t*y - 4*l**2*y**2 + 6*l*t*y**3 + 38*t*y**2 + y**3 wrt l? -4*l*t*y - 8*l*y**2 + 6*t*y**3 Find the third derivative of -56*d*m**2*p**3 + 4*d*m**2*p**2 - 11*d*m - 13*d*p**2 - 20*m*p**3 wrt p. -336*d*m**2 - 120*m What is the third derivative of -y**4 + 1430*y**3 + 2*y**2 + 365*y? -24*y + 8580 What is the second derivative of -1184*q*t**5 + 3*q*t**2 - 2*q*t + 3495*q - 2*t**2 wrt t? -23680*q*t**3 + 6*q - 4 Differentiate -5550*h**3 - 1335 wrt h. -16650*h**2 Find the third derivative of -2*d**4 + 427*d**3 - 4*d**2 - 82 wrt d. -48*d + 2562 Find the third derivative of 509*j**4*x**3 - j**2*x**3 + 28*j*x**3 wrt j. 12216*j*x**3 What is the derivative of -112*f**4*u - 2*f**4 + 10*u - 2 wrt f? -448*f**3*u - 8*f**3 Find the first derivative of 149*a**2*j**2*z + 2*a**2*j + a*j*z + a*z + 8*j**2*z - 7*j**2 + 2*j*z - 5*z wrt a. 298*a*j**2*z + 4*a*j + j*z + z Differentiate 5*q**3*t**2 - 10*q**2*t**3 - 4*t**3 - 6*t**2 with respect to q. 15*q**2*t**2 - 20*q*t**3 What is the first derivative of -2*m**2 - 162*m*q**2 + 146*q**2 wrt m? -4*m - 162*q**2 Find the second derivative of -949*f**2 - 754*f. -1898 Find the second derivative of -407*s**2 - 4*s + 302. -814 Find the third derivative of 16*k**4*s**3 + 23*k**4 + 35*k**2*s**3 + k**2*s**2 - 1 wrt k. 384*k*s**3 + 552*k Find the first derivative of -6*o**2*w**2 - 9*o**2*w + 9*w**2 - 1 wrt o. -12*o*w**2 - 18*o*w Find the second derivative of -9*m**3*v**3 - 2*m**3 - 10*m*v**2 - m + v**3 + 288*v wrt v. -54*m**3*v - 20*m + 6*v Find the second derivative of 4*i**4*p**3 + 245*i**4 + 3*i*p**3 + i*p**2 + 8*p**3 wrt i. 48*i**2*p**3 + 2940*i**2 What is the third derivative of -4*a*n**3*z**3 + 2*a*n**2*z - 3*a*v**3*z**3 + 4*n**3*v**3 + n**2*z + 6*v**3*z**3 wrt n? -24*a*z**3 + 24*v**3 Find the third derivative of -5*k*z**6 + 8*k*z**3 + k*z + k + 3*z**2 wrt z. -600*k*z**3 + 48*k What is the third derivative of 358*v**3 + 103*v**2 wrt v? 2148 What is the third derivative of 3*i**3*x**5 - 14*i**3*x**2 + i**3*x + 48*i*x**6 wrt x? 180*i**3*x**2 + 5760*i*x**3 Find the second derivative of -w**4 + 10*w**2 - 16*w wrt w. -12*w**2 + 20 Find the third derivative of -7280*o**3 - o**2 + 1894*o + 2 wrt o. -43680 What is the third derivative of -o**6 + 15742*o**3 + 21133*o**2? -120*o**3 + 94452 Find the second derivative of -38*h**2*v**3 - 4*h**2*v**2 - 7*h**2 + 40*h*v**3 - 6*h*v**2 + v**3 wrt h. -76*v**3 - 8*v**2 - 14 What is the second derivative of 521*i**3 + 4*i**2*m**3 - 49*i*m**3 + i - 15*m**3 wrt i? 3126*i + 8*m**3 Differentiate -88*q**3 - 10*q + 8682. -264*q**2 - 10 What is the derivative of -2567*c**2*d + c**2*g**3 - 9*c**2*g**2 + 33*c**2*g - c**2 + d*g**3 wrt d? -2567*c**2 + g**3 What is the second derivative of 11956*u**2 - 1349*u - 5 wrt u? 23912 What is the third derivative of 26*c*q**5 + 7*c*q**4 + 2*c*q**2 - 388*c*q wrt q? 1560*c*q**2 + 168*c*q Differentiate 4*g*n**2 + 9*g*n - 1108*g - 3*n**2 + n with respect to n. 8*g*n + 9*g - 6*n + 1 What is the
{ "pile_set_name": "DM Mathematics" }
- (109 + -36)) -31 What is (8 - 19) + 8 + -28 + 22? -9 -5 - ((-20 - -12) + 23 + -45) 25 What is the value of (-1188 - -1139) + (-1 + 3 - (-1 - -1))? -47 120 - 125 - (1 + -1 - (13 - 19)) - -11 0 Evaluate -67 - (91 + -31 + -88). -39 What is the value of 57 - (46 + -76 + 68)? 19 Calculate 217 - 199 - (1 - (2 + -4 + -79)). -64 Evaluate 160 + -18 + -27 + -88. 27 -23 + 23 + -8 + 2 + -37 + 14 -29 (-12 - -3 - (0 - -1)) + (-1722 - -1710) -22 Calculate -54 - (21 + 4 + (-20 - -5)). -64 0 - -54 - (-3 + 7) - (13 + 1 - 8) 44 Evaluate -85 - (118 + -99) - -77. -27 Evaluate (-9 + 68 + -18 - -17) + (6 - -1) - 8. 57 Calculate (4 + (-16 - -11) - 6) + 33. 26 Calculate -60 + (23 + 39 - 4). -2 What is -53 - (-27 - (26 - 12))? -12 Evaluate 21 + (4 - 9) + 18 + -12. 22 -17 - (0 + -3 + -1 - (358 + -334)) 11 What is -1 + (-16 - -10) - -5 - -10 - 61? -53 What is the value of -3 + -3 + -36 + 38 + -86? -90 62 - (-93 + 333 + -85) -93 Calculate (14 + -28 - -11) + (6 - 16) + -5. -18 What is 0 + 8 - (-26 - (-24 + 30 + -34))? 6 Calculate 58 + -17 + 22 - 161. -98 Evaluate -69 + -2 + (-1101 - -1242). 70 What is 22 + -24 - ((2 - -5) + (25 - 27) - 21)? 14 Evaluate -628 + 575 + (-17 - 0). -70 What is 89 + -12 + -98 - -6? -15 (138 + -23 - 85) + -72 -42 What is the value of (0 + -2 + 2 - -2) + 150 + -42 + -102? 8 What is the value of 7 + (-3 - -2) + 25 + 6 + -93? -56 Calculate 90 + 153 + -124 + -71. 48 Calculate 23 - (-6 + 3 + 19) - (1 - 2) - -69. 77 What is the value of -10 - (2 + 6 + 1 + -18) - -17? 16 What is -5 + -1 + (-5 - (11 + -5)) + 7? -10 Evaluate 22 + (97 - 122) - (0 + 23 - 2). -24 What is the value of -25 - (-2 - 4 - (-20 + 1))? -38 What is the value of (61 + 255 - 278) + (-1 - 9)? 28 Calculate (3 + (16 + -8 - 25) - -22) + 2. 10 Calculate 6 - (0 - -4 - 2 - -3) - (-3 + -35). 39 What is 42 - (77 + 20 - 178)? 123 Evaluate 7 + 3 - (-1 + 4) - (7758 - 7863). 112 What is the value of (0 - (7 - (-17 + 33) - -7)) + 39 + 0? 41 What is (0 - (10 + 2)) + (-40 - (24 + -24))? -52 0 + -70 + 1 - (2 - (10 - -12 - 24)) -73 What is (36 - (1 + 7 + -5 + -7)) + (2 - -1)? 43 What is 85 + -100 - (-76 - (18 - -3))? 82 Evaluate 7 - (92 - (84 + 23)). 22 Calculate (-122 - (0 + (0 - -3))) + -1642 + 1638. -129 -9 - ((-14 - -10) + (-6 - 20)) 21 Evaluate 21 + -15 - 13 - 5 - (-81 + 4). 65 Evaluate 120 - (89 + -88 + 10). 109 What is -54 + 147 + (-8 - (-8 + (17 - 4) + 0))? 80 Evaluate -8 + (21 + -13 - 4) + 7. 3 -24 + -10 + (-24 + 14 - 21) -65 Evaluate -1 - 73 - (-8 - (3 + -4) - (-79 + 58)). -88 Evaluate -89 - 14 - -11 - -16. -76 What is the value of 8 + (-36 - (-37 + 19) - 35)? -45 50 + (-14 - (-75 + 53)) 58 Calculate 36 + -20 + 13 + -81 - -4. -48 Calculate (1 - (0 + -40)) + -3355 + 3388. 74 Calculate -50 + (-66 - -119) + 3. 6 Evaluate (-3 - 6 - -27 - (93 + -97)) + 15. 37 What is the value of 53 + (-36 - -47 - (0 + 21)) - 5? 38 What is the value of (16 - -1) + (13 - 12) + -141 + -16? -139 Evaluate (-35 - (-10 + (4 - 7) + 27 - 5)) + -5. -49 What is the value of -4 - 0 - (34 + (-3 - 14))? -21 Calculate -62 - (9 + -1) - (-51 + 42 + 3). -64 Calculate 90 + (40 - 204 - -50). -24 What is the value of (-1 - (-5 + 9 + -60)) + (31 - 47)? 39 24 + (2 - -20 - (6 - -30)) 10 Evaluate 8 + (5 - (-30 - (4 - 3))) + -6. 38 -73 - -10 - (9 + 2 + -1 - 29) -44 Calculate -5 + 0 + (-20 - ((13 - 28) + 16)) + -65. -91 Evaluate -15 + (15 - -17) - 1 - 17 - 20. -21 Evaluate (30 - 79) + -1 + 30. -20 Evaluate 2 + -28 + 5 - (-10 - 10). -1 What is -4 - (18 + -10 + (1 - -1) - 0 - 5)? -9 What is the value of 10 - (-25 - -4) - (-15 - -9)? 37 What is the value of 5 + 43 + (-41 - (-89 + 23))? 73 What is 4 + (-29 - (5 + (5 - -6)))? -41 -12 - (8 - (23 - -29)) 32 Evaluate (16 - (-46 + -83)) + -100. 45 -52 - (28 + -8 + (-48 - -11)) -35 What is the value of 734 - 721 - (44 + 0)? -31 -55 - (-16 + 4 + 22 + -22 + -2) -41 Evaluate (9 - 0 - (540 + -535) - 13) + 0 + -63. -72 Evaluate -33 + (84 - 102) + -1 + 15 - 8. -45 (4 + 0 - 1) + (1 - (-90 - -70)) 24 What is the value of (-29 - 2 - -42 - 4) + -2? 5 What is -450 + 464 + (4 + -7 - -37)? 48 What is (-27 + (-4 - -21) - -28) + 2? 20 What is the value of -44 + (23 - 37) + 38? -20 Evaluate 42 + -76 + 34 - -40. 40 What is the value of (-5 - 64 - -17 - -11) + 26 - (0 + -69)? 54 Calculate -1 - 7 - (-12 + (1 - 0) - (-422 + 425)). 6 What is the value of 9 - (-46 - -34) - 53? -32 -27 + (-16 + 4 - -38) -1 What is the value of -3 + 8 + -5 + -4 + 3 - (-42 + 2)? 39 (2705 - 2632) + (-202 - 3) -132 Evaluate -3094 - -3101 - (-1 - (-1 - 14)). -7 What is the value of 1 - (5 + 2) - ((-2 - (4 + 6)) + 16)? -10 -109 + 2 + (63 - (19 - -32)) -95 What is the value of 106 + -87 - (-21 - -5)? 35 (-3 - 61 - -24 - 14) + (-1 - 3) -58 What is (17 + -25 - (6 - 22)) + -72? -64 Evaluate -1408 + 1538 + -11 + -219. -100 7 - (8 - 11) - (-1025 - -1056) -21 What is the value of 2171 + -2213 - (-49 + 5 - 2)? 4 What is (-9 - -2) + -18 + 46 + -65? -44 What is the value of -60 + 11 - (-15 - 15)? -19 11 + -14 - (1 - 2 - (-16 - 0) - 1) -17 Evaluate (209 - -133) + -429 - (-31 + 1). -57 What is the value of -34 + (29 - (-11 + 8))? -2 -59 + (1 + -7 - 2 - -14) + 13 -40 What is the value of -33 - (129 - (108 - 44))? -98 14 + 16 + 9 + 11 + -12 38 What is -51 + 118 - 29 - (-8 - -5 - (1 + -2))? 40 (-43 - -37 - 15) + 43 + 18 40 Calculate -2 - (-4 + -6) - (1 + 13 + -133 + 127). 0 -12 + 32 - 16 - ((-33 - -3) + 3) 31 (-17 + 3 - -10 - (0 - (5 + 0))) + 18 19 What is -22 + 60 + (2 - -3) + -2? 41 Evaluate (16 - 2) + 3 + -11. 6 0 + -1 + (274 + -291 + 20 + -1 - -8) 9 What is (38 - 49) + -60 + 13? -58 (28 - (-8 + 21 + 0)) + (83 - (-1 + 3)) 96 What is the value of 411 + -393 + (-2 - 46) + 1? -29 Evaluate -32 + -33 - (1 - -4 - 7). -63 What is the value of (50 - 43) + -39 + 83? 51 What is the value of -8 + (7 - 8) + 12 + (-1 - -4) + -13? -7 Evaluate (52 - 57) + 11 - 49. -43 -1 + 1 + -3 + (-1840 - -1850) 7 (-11 + 9 - -94) + (-182 - -158) 68 What is the value of 9 - (-8 + -1 + 45 + -43)? 16 Evaluate (-74 - (0 + -2)) + (88 + -33 - 53). -70 What is (42 - (71 - 43)) + -43? -29 Evaluate 38 + (-58 - (-26 + 45)). -39 (644 - 710) + -6 + 4 + -4 -72 Evaluate -2 + -2 + 0 + -3 - (59 + (-5 - 36)). -25 Calculate 19 + -4 + 1 - (4 + -12 + 39). -15 Evaluate (-1 - -15) + -148 + 176 - 2. 40 -22 + (-98 - -61 - (-1 + -22)) -36 What is the value of (-8 - -2) + 16 - (-91 - (-19 + -9))? 73 What is the value of 56 + -1 + -3 + 1 + 0 + -4698 + 4697? 52 Evaluate 86 - 69 - (3 - -17) - -29. 26 What is the value of -17 + (4 - -8) + -4 + 6 + -8 + 52? 41 What is the value of -27 + 4 + -21 + (93 - 53)? -4 Evaluate 138 + -91 + (-2 - 16). 29 6 + 12 - ((8 - -2) + 0) - (-121 - -31) 98 -44 - (-2 - -12 - -2) - -12 -44 Calculate 19 + 3 + (3 - 7) - 2. 16 -15 - (-64 + 138 - 20) -69 What is the value of 121 + -87 + -6 - 55? -27 -36 + 8 + 16 + 6 - -40 34 Evaluate (-34 - (-31 - 36) - 36) + -89. -92 -124 - -83 - (-2 - 51) 12 Evaluate 139 - (-72 - -120) - (0 + -18 - 3). 112 What is the value of -11 - ((34 - 85) + 36)? 4 Evaluate 24 + (-12 + -26 - -12). -2 -13 - ((7 + 1 - (-59 + 67 + -36)) + -10) -39 What is -71 + (77 - (6 + 38))? -38 What is -12 + -6 + 9 + (4 - 6) - (-4 - -94)? -101 What is -39 - ((-16 - 15) + -3)? -5 What is the value of 112 - (-135 + 214 + 35)? -2 What is the value of -5 + -1 + (-19 - (9 - -1))? -35 What is the value of (2 - 2) + -5 + (-66 + (39 - 26) - -67)? 9 Evaluate -3 + 97 + (-1788 - -1655). -39 What is the value of 43 + -59 + -28 + 7? -37 What is -19 - 1 - ((76 - 12) + -72)? -12 Evaluate -5 + 1 + -1 + 2 - (-59 + 57). -1 (-5 + 3 - -2 - (-192 + 197)) + -5 -10 Calculate -56 - (-151 - (-37 + -1)). 57 What is -85 - (24 + (47 - 91) + -2 + 1)? -64 97 + (-8 - 83) + 54 60 Calculate 6 + -73 + (-37 - (-24 - 0)). -80 What is the value of 30 - (-33 + (55 - -36))? -28 What is (19 - 46) + (5 - (3 + -1)) + 4? -20 Calculate 11 + (-1 - 30 - (-74 - -64)). -10 Calculate (523 + -503 - (35 + -1 + -1)) + -1 + 52. 38 What is the value of 7 + 19 + -84 + 16 + -2? -44 Calculate 59 - (131 + (-126 - -16)). 38 -46 + -4 + (-47 - -35) -62 Calculate (3 - -68) + 23 + -18 + 23 + -30. 69 What is the value of 23 + (-29 + 22 + -8 - -28)? 36 What is -24 + -13 - -53 - 43? -27 Calculate 8 + 1 + -80 + (23 - -65). 17 What is (9 - 1 - -4 - 22 - 3 - 55) + -3? -71 Evaluate 3 + -14 + -4 + (-11 + 98 - 126). -54 What is the value of -545 + 51
{ "pile_set_name": "DM Mathematics" }
*3 Collect the terms in 2818*v - 5627*v + 2809*v - 2440*v**2 + 2394*v**2. -46*v**2 Collect the terms in 17*w + 19*w - 35*w + 38 - w**2 - 197. -w**2 + w - 159 Collect the terms in -18*u + 50*u + 48*u + 63*u + 20*u - 24*u. 139*u Collect the terms in 1287*v**2 - 2581*v**2 + 20*v - 5440*v**2 + 16*v. -6734*v**2 + 36*v Collect the terms in -3 - 2941588*m + 34*m**3 + 2941588*m. 34*m**3 - 3 Collect the terms in -2 - 5 + 264107*w + 7. 264107*w Collect the terms in -32 + 1361*f - 2792*f + 1433*f. 2*f - 32 Collect the terms in -45*v + 91*v + 294*v**3 - 46*v - 150*v**3 - 149*v**3. -5*v**3 Collect the terms in -107*d - 110*d - 53*d + 4472 + 272*d. 2*d + 4472 Collect the terms in 20*s + 20*s - 3 + 0 + 0 - 60*s + 29*s. 9*s - 3 Collect the terms in -7*a + 6067455 - 6067455. -7*a Collect the terms in 97347158462*k - 3*k**3 - 97347158462*k + 5*k**3. 2*k**3 Collect the terms in 149*d + 17131*d**2 + 17193*d**2 - 34328*d**2. -4*d**2 + 149*d Collect the terms in -29*o**3 - 74744*o - 2 - 48454*o - 16416*o. -29*o**3 - 139614*o - 2 Collect the terms in 769792*q**3 - 87294*q**3 - 5833940*q**3. -5151442*q**3 Collect the terms in 2620*f**3 - 7754*f**3 + 2660*f**3 + 2584*f**3. 110*f**3 Collect the terms in 132 + 221 + 89 - 141 + 9*x. 9*x + 301 Collect the terms in -362*k - 142 + 284 + 119*k + 246*k - 142. 3*k Collect the terms in 3474*o**2 - 20836*o**2 + 3472*o**2 + 3469*o**2 + 3475*o**2 + 3467*o**2 + 3470*o**2. -9*o**2 Collect the terms in 328*s**2 - 101*s**2 - 105*s**2 + 83*s**2 - 101*s**2 - 96*s**2. 8*s**2 Collect the terms in -4531381*p + 4531335*p + 2*p**2 - 4*p**2. -2*p**2 - 46*p Collect the terms in -60803 - 40620 - 3*j**2 - 12114 + 0*j**2. -3*j**2 - 113537 Collect the terms in -17*j**2 - 55*j**2 - 21*j**2 + 468 + 506 + 91*j**2. -2*j**2 + 974 Collect the terms in 5*u**3 + 36*u**3 + 10*u**3 - 59*u**3 + 8*u**3 + 10*u**3. 10*u**3 Collect the terms in 480*v**3 + 487*v**3 - 965*v**3 - 16*v**2 + 0 + 0. 2*v**3 - 16*v**2 Collect the terms in -392*j**2 + 81*j**2 + 1530*j - 2734*j + 1204*j. -311*j**2 Collect the terms in 31*s - 98198*s**2 + 18*s + 9*s + 32736*s**2 + 32731*s**2 + 32728*s**2. -3*s**2 + 58*s Collect the terms in 23*c**2 - 80*c**2 - 5312 + 5312 - 37*c**2 - 115*c**2. -209*c**2 Collect the terms in 681*n**3 + 8009*n**3 + 1091*n**3. 9781*n**3 Collect the terms in 19109*f + 26426*f - 211*f - 2394*f - 6278*f. 36652*f Collect the terms in 3259*b + 4336*b - b**2 - 7559*b. -b**2 + 36*b Collect the terms in -190*u**2 + 325*u**2 - 215*u**2 + 20113*u**3 - 20111*u**3. 2*u**3 - 80*u**2 Collect the terms in 8951*l**2 - 26814*l**2 + 8932*l**2 + 8932*l**2. l**2 Collect the terms in -532*p**2 + 45*p**2 + 510*p**2. 23*p**2 Collect the terms in -33769*h - 4267*h - 5381*h. -43417*h Collect the terms in -104 + 20 + 25 + 32 + 27 - 1471*b. -1471*b Collect the terms in 81*n**2 + 4*n - 5*n + n - 655*n**2 + 299*n**2. -275*n**2 Collect the terms in 1531*d**2 + 5613*d**2 - 1312*d**2. 5832*d**2 Collect the terms in -4947*z + 1638*z + 1660*z + 1622*z - 28. -27*z - 28 Collect the terms in -q**2 - 3791*q**3 + 0*q**2 + 15224*q**3 - 7*q**2. 11433*q**3 - 8*q**2 Collect the terms in -5*s - 10 + 24*s - 8*s - 10 - 3 - 5*s. 6*s - 23 Collect the terms in -68 - 3 + 140534*o - 4*o**2 - 140534*o + 34 + 37. -4*o**2 Collect the terms in 236*i**3 - 11*i**3 - 61*i**3 + 2*i**3 - 45*i**3. 121*i**3 Collect the terms in 8*s**2 - 41468950 + 41468950. 8*s**2 Collect the terms in -1331*d**3 + 2521*d**3 + d + 4790*d**3. 5980*d**3 + d Collect the terms in 13346009*p - 13346005*p - 5*p**2 - p**2. -6*p**2 + 4*p Collect the terms in 101 + 10620*s + 10566*s - 21184*s. 2*s + 101 Collect the terms in -514425509*w + 514425507*w + 1 - 1. -2*w Collect the terms in -4726*m + 6921*m - 33090*m - 41027*m + 6190*m. -65732*m Collect the terms in h**2 + 90416460912835*h - 90416460912835*h. h**2 Collect the terms in -281*j + 33321*j**2 - 1 + 279*j + 1. 33321*j**2 - 2*j Collect the terms in -5900*m + 11584*m + 0 + 0 + 0. 5684*m Collect the terms in -35672 + 17843 + 9*d**2 + 17829. 9*d**2 Collect the terms in -206*z**3 + 653*z**3 - 12*z**2 - 152*z**3 - 147*z**3 - 147*z**3. z**3 - 12*z**2 Collect the terms in -371 + 146*m**2 + 20*m**2 + 371. 166*m**2 Collect the terms in -441*i**2 + 257*i**2 + 956*i**2 - 499*i**2. 273*i**2 Collect the terms in -57198*d**2 + 19111*d**2 + 18959*d**2 + 18706*d**2. -422*d**2 Collect the terms in -586*t + 1763*t - 594*t - 27 - 584*t + 18. -t - 9 Collect the terms in -7*n - 187 - 2*n - 190 + 4*n + 370. -5*n - 7 Collect the terms in -14985*q + 5112*q + 5081*q + 5171*q. 379*q Collect the terms in -24325*r**3 + 120642*r - 120642*r. -24325*r**3 Collect the terms in 37*m**2 + 37*m**2 + 20498553996*m - 78*m**2 - 20498553995*m. -4*m**2 + m Collect the terms in -419*y**2 - 18*y**3 + 812*y**2 - 15*y**3 - 18*y**3 - 393*y**2 + 41*y**3. -10*y**3 Collect the terms in 65*n**2 - 2 - 137*n**2 - 38*n**2 - 192*n**2 + 2. -302*n**2 Collect the terms in 3*b**3 + 1956330897649578 - 1956330897649578. 3*b**3 Collect the terms in 253*j - 205*j + 375*j + 1 + 232*j + 163*j. 818*j + 1 Collect the terms in -9159*z - 1816*z + 937*z - 2702*z. -12740*z Collect the terms in -2*x - 8666729 - 12320038 - 1502126. -2*x - 22488893 Collect the terms in -833035*a**2 + 277687*a**2 + 277661*a**2 + 277684*a**2. -3*a**2 Collect the terms in -31*h**2 + 11652*h - 5822*h - 5831*h. -31*h**2 - h Collect the terms in -93164*x**3 + 93133*x**3 - 17784 + 17784. -31*x**3 Collect the terms in 461*g - 65*g - 155*g - 210*g + 299*g + 524*g. 854*g Collect the terms in 82213*k + 200260 - 200260. 82213*k Collect the terms in -1 + 1251*h**3 + 3250*h**3 - 604*h**3 + 1. 3897*h**3 Collect the terms in 420*f**2 + 6034*f - 3018*f - 3016*f + 134*f**2 + 738*f**2. 1292*f**2 Collect the terms in -4016*r**2 + 191*r**3 + 5013*r**2 - 997*r**2. 191*r**3 Collect the terms in 4085884*i**3 - 8171271*i**3 + 4085388*i**3. i**3 Collect the terms in -7591*w - 12*w - 4032*w - 13483*w. -25118*w Collect the terms in 3886*s - 105 + 105 + 3177*s - 2188*s. 4875*s Collect the terms in 1526*d**3 - 1843 + 4547 - 2704. 1526*d**3 Collect the terms in -616*g**2 + 0 - 750*g**2 + 0 + 1234*g**2. -132*g**2 Collect the terms in -1612*s**2 + 311*s**2 - 6 - 5 + 11. -1301*s**2 Collect the terms in -1549 - 1548 + 280*q**2 + 4642 - 1545 - 278*q**2. 2*q**2 Collect the terms in 511*y**2 - 48*y - 1 + 512*y**2 - 1028*y**2. -5*y**2 - 48*y - 1 Collect the terms in 491*i - 978*i - 2*i**2 - 7 + 8*i**2 + 487*i. 6*i**2 - 7 Collect the terms in 122*z**2 + 52*z**2 + 249086*z - 249086*z - 162*z**2. 12*z**2 Collect the terms in -517*b**2 + 27*b**2 + 405*b**2. -85*b**2 Collect the terms in 67 - 67 + 2637702*g - 2637696*g. 6*g Collect the terms in 2788*g**2 - 5383*g**2 + 2601*g**2. 6*g**2 Collect the terms in -13415*q - 13408*q - 7*q**3 + 53629*q - 13408*q - 13398*q. -7*q**3 Collect the terms in 336640*l**2 - 673265*l**2 + 80*l + 336642*l**2 - 80*l. 17*l**2 Collect the terms in 164*s**3 + 238*s**3 + 605*s**3. 1007*s**3 Collect the terms in -2209302*f**3 - 2209242*f**3 + 4418520*f**3. -24*f**3 Collect the terms in -21*q**3 + 9715399 - 9715399. -21*q**3 Collect the terms in 21725*h**2 - 162*h**3 + 21713*h**2 - 43438*h**2 - 315*h**3. -477*h**3 Collect the terms in 14 - 2 - 2492*r + 1422*r. -1070*r + 12 Collect the terms in 4*r**2 - 5*r**2 + 4*r**2 - 18836413*r. 3*r**2 - 18836413*r Collect the terms in -269*d + 269*d + 1625026*d**3. 1625026*d**3 Collect the terms in -623260 + w - w + 3*w. 3*w - 623260 Collect the terms in -206*i + 20 + 34 - 358*i. -564*i + 54 Collect the terms in 871 - 5*g**2 + 2316 + 191 + 1287. -5*g**2 + 4665 Collect the terms in 5531*k**2 - 11070*k**2 - 1 + 5539*k**2 - 92*k**3. -92*k**3 - 1 Collect the terms in 6*x - 11*x + 5*x - 113921*x**2. -113921*x**2 Collect the terms in 8789 + 26*o - 18*o - 8792. 8*o - 3 Collect the terms in -1676*n**3 + 970*n**3 + 830*n**3. 124*n**3 Collect the terms in -19*z**3 + 51*z**3 + 298 - 20*z**3 - 20*z**3. -8*z**3 + 298 Collect the terms in -7 + 1 - 2*i + 0*i**3 - 11 - 102*i**3. -102*i**3 - 2*i - 17 Collect the terms in 5844*z**2 + 9966*z**2 + z - z - 2959*z**2. 12851*z**2 Collect the terms in 117720*r - 39224*r - 39234*r - 39246*r. 16*r Collect the terms in -475*w - 115 + 235*w + 56 + 238*w. -2*w - 59 Collect the terms in 1789*z + 3017*z - 344*z. 4462*z Collect the terms i
{ "pile_set_name": "DM Mathematics" }
e a? True Let v = 18 - 14. Suppose r - 100 = -v*r. Does 10 divide r? True Let g be (-2)/(4/3)*2. Let n be 6/4*(-8)/g. Suppose 5*r = 3*s + 53, -n*r + 4*s + 43 = s. Is 5 a factor of r? True Let i(z) = z**3 - 6*z**2 + 2*z - 6. Let g be i(6). Let m = g - -8. Suppose -6*b + m = -4*b. Is 2 a factor of b? False Is 6 a factor of ((-2)/(-3))/(2 - (-1075)/(-540))? True Let h be (-2)/6 - 28/(-12). Is 3/(-2)*(-48)/h a multiple of 18? True Suppose k - 3*k + 3*s = 12, k - 16 = -4*s. Let q(z) = z**2 - 10*z - 18. Let u be q(12). Suppose r - 10 - u = k. Is 8 a factor of r? True Let v = 97 - 47. Does 7 divide v? False Let u(h) = h + 9. Let z be u(-9). Let g(f) be the third derivative of f**5/60 - f**4/24 + 7*f**3/2 - 2*f**2. Is g(z) a multiple of 8? False Let h(t) = -30*t. Let p be (2/(-4))/(1/4). Is h(p) a multiple of 13? False Let b(t) = t + 24. Let g be (-2)/8 + (-1)/(-4). Is b(g) a multiple of 6? True Is 11 a factor of ((-2)/(-4)*-11)/((-5)/20)? True Suppose -2*s + 1 = 2*u - 3, -2*u - s = -2. Suppose -142 = -2*p - 0*p - 3*h, u = -3*h + 6. Does 18 divide p? False Suppose -2*c - 26 = -2*x, 5*x - 3*c - 20 - 43 = 0. Suppose 1 = j + 2*h - 5, -2*j - 5*h + x = 0. Is 5 a factor of j? False Let l(s) = -6*s + 29. Is 22 a factor of l(-9)? False Suppose 0 = 2*n + 4*y + 24, -5*n = -3*y - 36 + 96. Let q = -5 - n. Let k = 14 - q. Does 4 divide k? False Let z(q) be the second derivative of -7*q**3/3 - 3*q**2/2 - 4*q. Is 17 a factor of z(-2)? False Let i = -4 + -16. Let l be ((-8)/i)/(2/10). Suppose 12 = l*t - t. Is t a multiple of 6? True Let m(r) = -r**2 - 8*r + 1. Let v be m(-8). Let d = 14 + -24. Does 13 divide v*(-2 - 3)*d? False Does 2 divide 0 + -3 + (-13 - -27)? False Let r = -61 + 95. Does 3 divide r? False Suppose 5*z - 2 = 8. Let d(p) = -p - 1. Let n be d(-5). Suppose 7*f - n*k - 20 = 4*f, -z*k = -f + 8. Does 4 divide f? True Let h be (-6)/3 - -2 - 0. Let g = h - -2. Suppose g*p - p = 37. Is p a multiple of 26? False Let o = 9 + 3. Is o a multiple of 6? True Suppose 0 = 2*b + 2*w - 13 + 5, 3*w - 16 = -4*b. Let v = b - 3. Let l = v - -23. Is 11 a factor of l? False Let a = 61 - 56. Is a a multiple of 2? False Let h(y) = -548*y + 4. Let k = 9 + -6. Let a be h(k). Does 15 divide a/(-55) + 4/22? True Let h(c) = 2*c**2 - 3*c - 6. Let u be -8 - 1/(-2)*2. Is 30 a factor of h(u)? False Let y be ((2 - -3) + -1)*-1. Is 13 a factor of 4/1*(-26)/y? True Suppose 3*l + 40 - 112 = 0. Let r(q) = -q**2 - q. Let c be r(2). Let x = l - c. Is 15 a factor of x? True Let a(c) = -c**2 - 2*c - 5. Let p be a(-3). Let w = 28 + p. Does 10 divide w? True Is 5 a factor of (12/5)/(1/(60/9))? False Let b(r) = -r + 8. Let w be b(6). Suppose 3*c + 4*x = 18, 0 = 4*c - 5*c + w*x - 4. Suppose c*l = 3*l - 16. Is 8 a factor of l? True Suppose -15*b + 19*b = 172. Does 3 divide b? False Suppose -3*w - 15 = 4*m - 147, -4*m - 220 = -5*w. Does 4 divide w? True Let d(l) = l - 5. Let z be d(10). Suppose 0*x + 35 = z*x. Does 2 divide x? False Let p = 0 + 3. Suppose -p*i = -i + 4. Let b = 23 + i. Does 11 divide b? False Suppose r + 76 = 5*m + 5*r, -3*r + 13 = m. Does 16 divide m? True Suppose -4*i + 12 = -2*i. Is 17 a factor of (-2)/(-12) - (-251)/i? False Suppose 3*t - 78 = o + o, o = 2*t - 51. Suppose 0 = -0*y + 2*y - t. Is 6 a factor of y? True Suppose -6 = -4*t + 6. Suppose t*w - 32 = w. Suppose -7*n + w = -3*n. Is 4 a factor of n? True Suppose 0 = 2*w - 82 - 16. Does 15 divide w? False Let o(f) = 38*f**2 - 3*f + 7. Is o(-3) a multiple of 19? False Is 16/4 + 128/4 a multiple of 2? True Let z(m) = 3*m + 4. Let j be z(-5). Let t = j - -19. Suppose 3*s - 4*g = 32, 3*g - 36 - t = -2*s. Is 8 a factor of s? True Suppose 0 = 4*s - 3*f + 85, -3*s - 4*f - 45 = -0*s. Let w = 8 - s. Is w a multiple of 21? False Suppose y = 2*m + 135 - 6, 2*y - 2*m = 254. Does 25 divide y? True Let b(y) = -3 + 0*y**2 + 2 + 5*y**2. Let w be b(1). Suppose s + 0*s = 5*j - 20, 4*j + w*s = 40. Is j a multiple of 5? True Suppose -2*v - 366 = -0*v. Let f = 13 - 22. Does 10 divide v/f + 2/(-6)? True Suppose -5*y + 0*y - 3*b = -37, -4*b + 21 = y. Suppose -34 = -y*n + 26. Is n a multiple of 6? True Let c = -101 - -61. Is 10 a factor of (c/(-16))/(2/8)? True Let r(y) = -y**3 - 8*y**2 - 20. Is 22 a factor of r(-10)? False Let y(m) = 2*m + 4. Let g be (-3 - -3)/(-1 - 0). Suppose w = g, 2*w + 21 = 3*z - 3*w. Is y(z) a multiple of 9? True Does 9 divide (-5 - -2)/(3/(-13))? False Let d(r) = -2*r**2 + 2*r**2 - r - r**3 + 10. Suppose 0*l = 5*l. Does 10 divide d(l)? True Is 16 a factor of ((-1440)/105)/((-2)/14)? True Suppose b + 25 = 6*b, -2*r + 5*b = -393. Does 19 divide r? True Suppose 2*z - 4*z - 46 = 0. Suppose 2 = l - w + 11, -2*l = -5*w + 27. Let k = l - z. Does 5 divide k? False Suppose 0 = -w - 0*p + 5*p + 100, 5*w - 380 = p. Let x = w - 40. Is x a multiple of 14? False Let f(l) be the first derivative of l**2 + 2. Let i be f(4). Is 1 + i - (-4)/(-4) a multiple of 6? False Suppose -5*v + 3*v + 96 = 0. Is v a multiple of 7? False Let r(o) = 293*o + 6. Is r(1) a multiple of 17? False Let o(w) = 3*w - 10. Does 3 divide o(6)? False Suppose 2*s - 4*s - 12 = -2*k, s = 5*k - 22. Suppose -6 = 5*u + k, 4*u - 16 = -2*y. Does 12 divide y? True Let z = -7 + 10. Suppose -128 = -z*o - o. Is 15 a factor of o? False Let q be -1*(2 - (-2 + 27)). Suppose -3*y + q + 73 = 0. Suppose 0 = 4*t - 2*t - y. Does 9 divide t? False Suppose -k = -2*k + 54. Does 27 divide k? True Let g(c) = 13*c**2 + c + 1. Let w be (-2)/6*(-1 - -4). Is 13 a factor of g(w)? True Let b = 10 + -18. Let w = 1 - b. Is w a multiple of 9? True Let l = 4 + 5. Suppose n - l = -2*n. Is 9 a factor of 3/(-9) - (-70)/n? False Let q(j) = -260*j**2 - j + 16. Let w(b) = -52*b**2 + 3. Let h(t) = 2*q(t) - 11*w(t). Let r(z) = z**2. Let v(s) = h(s) - r(s). Does 26 divide v(-1)? True Suppose 3*b - 137 = 142. Let v = -9 - -14. Suppose 3*m + 5*l - 2*l = b, -v*l = -2*m + 83. Is m a multiple of 10? False Let o(c) = c**3 + 4*c**2 + 4*c + 1. Let n be o(-3). Let f be 23 - 1/n*6. Suppose 3*s - 130 = -5*h, 0 = -h + 3*s - s + f. Does 13 divide h? True Let q(y) = -y**3 - 4*y**2 - 2*y - 8. Is q(-5) a multiple of 4? False Let i(s) = s**3 + 2*s**2 - 4*s + 3. Let q be i(2). Suppose -z + q = -0. Does 7 divide z? False Suppose 0 = 3*c - 2*k - 505, k = -3*c - 4*k + 470. Is 9 a factor of c? False Let m be 2*(-42)/(-8)*2. Let u(b) = b**3 + 6*b**2 + 3*b + 5. Let f be u(-5). Let h = f + m. Does 14 divide h? False Let u(f) = -14*f - 1. Let q be u(-1). Let o(g) = g**2 + 2*g - 4. Let i be o(-6). Let l = i - q. Does 5 divide l? False Let x(o) = -20*o**3 - o**2 + 2*o + 4. Is x(-2) a multiple of 13? True Let m be -3 + 3/(3/7). Suppose -72 + 20 = -m*j. Is j a multiple of 9? False Suppose s - 5*m - 25 = 0, -s + 3 = -2*m - 7. Suppose s = t - 5*t. Suppose 12 = r - t*r - 5*d, 108 = 5*r - d. Is r a multiple of 11? True Is 24 a factor of -1*(4 + -5 - 44)? False Suppose -8*m - 288 = -11*m. Does 28 divide m? False Let z = -100 - -130. Is z a multiple of 30? True Let h(s) = s**2 - 4*s + 1. Does 10 divide h(6)? False Does 11 divide -3 + 30 + 4 + -4? False Let i be (0 + 12/(-16))*4. Does 13 divide (i - 1)/((-2)/17)? False Suppose 5*k - 64 = -n, 128 = 3*n + 5*k - 74. Does 4 divide n? False Let h(f) be the second derivative of -3/20*f**5 - 1/2*f**2 + f + 0 + 1/3*f**3 - 1/12*f**4. Does 15 divide h(-2)? True Suppose -3*a - 2*a = -1025. Does 12 divide a? False Let c = -9 - -3. Let u be c*11*(-1)/2. Suppose u = 4*i + 3*m, i + 3*i + 2*m = 34. Is i a multiple of 9? True Let h(n) = 7*n + 4. Let g be h(-2). Does 11 divide 1134/70 + 2/g? False Let z be 30/4*(-10)/(-15). Suppose -4*g - g = z*c - 45, -2*g - c = -23. Is g a multiple of 14? True Let t = -98 - -188. Let c = t + -47. Is c a multiple of 12? False Let k(w) = w**2 + w. Let f(g) = -18*g**2 - 7*g + 2. Let o(c) = -f(c) - 6*k(c). Let j be o(2). Suppose h - j = -3*h. Does 4 divide h? True Let b(p) = -10*p**2. Let f be b(-1). Let r be ((-42)/5)/(2/f). Suppose -4*n + n - 3*i = -r, -4*i - 4 = 0. Is n a multiple of 15? True Suppose 2*b + 10 = 2. Let v be -3 - -6 - 0 - 4. Does 5 divide (v + 3)/(b/(-26))? False Let q be (-13)/(-4) + (-12)/48. Suppose -6*z + q*z = -33. Is 9 a factor of z? False Suppose -3 = 2*h - 191. Is 4 a factor of h? False Let d be ((-24)/10)/(3/(-15)). Let u be 394/11 - 40/(-220). Does
{ "pile_set_name": "DM Mathematics" }
, 2/33? -4 What is the closest to -2/11 in -13, 6, 2, -0.035? -0.035 Which is the nearest to 0.1? (a) 1/2011 (b) -1 (c) 3 (d) -15/26 (e) 4 a What is the closest to 2 in 0.2, -121, -0.18, 0.5? 0.5 Which is the closest to -8? (a) 4 (b) -4 (c) 34 b Which is the closest to 1/5? (a) -1/8 (b) -3 (c) 1555 a What is the closest to -3/4 in 12/13, -5/7, 0.08, -6? -5/7 Which is the nearest to 4? (a) -1595 (b) -1 (c) 1 c Which is the closest to 42? (a) -0.09 (b) -1/31 (c) 3 c What is the nearest to 0 in -4734.9, 2/19, -0.9? 2/19 Which is the nearest to 5.3? (a) -5 (b) 7 (c) 4/9 b Which is the closest to 789? (a) -1 (b) 4 (c) 0.5 b Which is the closest to -3? (a) 50 (b) -0.7 (c) 0.3 (d) -9 b Which is the nearest to -0.1? (a) 121 (b) -3/11 (c) 4 (d) 3 (e) 0.3 b Which is the nearest to 94? (a) 3 (b) -4 (c) 2/11 (d) 4 d What is the nearest to -0.006 in -5, -3, 3, 5/6? 5/6 What is the closest to -0.1 in -2436/59, 4, 11? 4 Which is the nearest to 2.1? (a) -3/8 (b) 15 (c) -3 (d) 2 d Which is the nearest to 1/3? (a) 2/7 (b) -0.1 (c) 2.5 (d) -86.15 a What is the closest to -2 in -5, 1/15, -52, 0? 0 What is the closest to -0.7 in -14, -7/5, -30? -7/5 What is the closest to 1/4 in 0, -7, -0.5, -28, -4? 0 Which is the nearest to 4? (a) -2 (b) -0.4 (c) 4 (d) 5 (e) -291 c What is the nearest to 145 in 2, -71, -5? 2 Which is the closest to 111? (a) -1 (b) -0.4 (c) -5/7 (d) 124 d What is the closest to 0 in -38, -11, 0.1, -57/16? 0.1 Which is the closest to 0.2? (a) -1/5 (b) 2/15 (c) 0.211 (d) 1 c Which is the closest to 2/7? (a) -87 (b) 1.4 (c) 1/3 (d) 93 c Which is the nearest to -6? (a) 5 (b) 8/5 (c) -3/4 (d) 18 (e) -2/3 c What is the nearest to 99 in -0.2, 7, -0.1, 0.01, -3? 7 Which is the nearest to -1? (a) -0.136 (b) -3/4 (c) 2 (d) 3/7 b Which is the closest to 27? (a) -2 (b) 13 (c) 2/3 (d) 3 (e) 0 b What is the nearest to -18 in 19, -2/5, -19, 0.1, 6? -19 What is the nearest to -182.2 in -0.5, -393, -3/8? -0.5 Which is the closest to 1/4? (a) 1/3 (b) 883 (c) -2/13 (d) -0.4 (e) -0.41 a Which is the closest to 614? (a) -0.49 (b) -2/11 (c) 2/9 c Which is the nearest to 2/15? (a) -200 (b) 4 (c) -1/7 (d) -2/7 c Which is the nearest to -0.13? (a) -4 (b) -412 (c) 2 (d) -1/11 d What is the closest to -0.8 in 6/11, -6, -4/1539, -0.4? -0.4 Which is the nearest to 2? (a) 2/7 (b) -3 (c) 34 (d) 19 a Which is the nearest to -0.1? (a) -2/7 (b) -584 (c) -1.95 a Which is the closest to -3/5? (a) 728 (b) -1 (c) -9/2 b Which is the closest to -8? (a) 2/107 (b) -53 (c) 3 a What is the nearest to -3 in -4, -3, 7, -0.95? -3 What is the closest to -2002 in 7, -5, 0.4? -5 Which is the closest to 2/7? (a) 0.2 (b) -1 (c) -179 (d) 1 a Which is the closest to 3? (a) 0 (b) -1/12 (c) 3/5 (d) -0.05 (e) 1/4 c Which is the nearest to 1? (a) 2/7 (b) 1 (c) 667 (d) -5 b Which is the closest to -2? (a) 2 (b) 61 (c) -1/2 (d) -0.4 c Which is the nearest to 2/3? (a) 2/3 (b) -47 (c) 6 a What is the closest to -1 in 0, 28, -0.056? -0.056 Which is the closest to 0? (a) 0.6001 (b) -35.4 (c) -5 a Which is the closest to -2? (a) -2/7 (b) 9 (c) -18 (d) -5/4 (e) 2/167 d Which is the closest to 2/5? (a) -9 (b) -173 (c) 2 (d) 0 d What is the closest to 1 in 12.5, 5, 0.4? 0.4 What is the nearest to 2/5 in 0, -5, 2200, -1? 0 Which is the nearest to -83? (a) -0.7 (b) 0.4 (c) -1/2 a What is the closest to -3 in 0.14, 5/2, 3.9, 2/7, -0.5? -0.5 Which is the closest to 1/7424? (a) 0 (b) 1/4 (c) 0.1 (d) -0.5 a Which is the nearest to 1/8? (a) -0.1 (b) 2/9 (c) -4 (d) -0.057 (e) -2 b What is the nearest to 2/9 in 0.2, 3, 0.5, 1, 2/2653? 0.2 What is the closest to -1 in 3, -1/10, 1/5, 5? -1/10 What is the closest to 0.046 in 69, -0.4, -0.11? -0.11 Which is the closest to -19? (a) 17 (b) -5 (c) 32 (d) 0.3 b What is the nearest to -230 in 0, -2/13, -3/5? -3/5 What is the nearest to -2 in 0, 25, -59? 0 What is the closest to -1 in -4, 15, 0.4, -1, 32? -1 What is the nearest to 1/4 in 2/17, -0.2, -2/35, -12493/3, -0.3? 2/17 What is the nearest to 3 in -2, 1, 3, 1/15? 3 Which is the nearest to 5/2? (a) -3/5 (b) 6/53 (c) -1/9 (d) -4 b Which is the nearest to -0.1? (a) 1/2 (b) -8 (c) 5 (d) 2/31 d What is the nearest to 0 in -1/2, -1/3, 2/23, 30/107? 2/23 Which is the nearest to -51? (a) 3 (b) -2/5 (c) -118 b Which is the closest to 2/15? (a) -1 (b) -2 (c) 125 (d) 1/6 d What is the closest to -2/7 in -2.7, 1/19, -8, -18? 1/19 Which is the closest to -0.2? (a) -6074 (b) 5 (c) 2/5 (d) 2 c What is the nearest to -3/4 in 1/4, 5, -0.5, 107/36, 3? -0.5 What is the nearest to 2/3 in -3/4, 1/18, 10, -0.1, -31? 1/18 What is the closest to 391 in 3/7, -1/54, 5? 5 What is the nearest to -2/833 in -1, -2/17, -67? -2/17 What is the nearest to -1/7 in 0.056, 0, -0.3, -6? 0 Which is the nearest to -0.1? (a) 4.5 (b) 7 (c) -0.1 c Which is the nearest to 5? (a) -1.29 (b) -2 (c) 0.53 (d) -0.4 c What is the closest to -2/149 in 29, 2, 0.4? 0.4 What is the closest to -704 in 5, 0.2, -27, -0.2? -27 What is the nearest to 1/2 in -7/2, 0.13, -223, -9? 0.13 Which is the nearest to 4? (a) 4 (b) 2 (c) 0.4 (d) 110 a What is the nearest to -8 in -0.16, -0.1, -0.2, -2/207? -0.2 Which is the nearest to 0.108? (a) 0.4 (b) 23 (c) 1 (d) 1/5 d What is the nearest to -2/11 in -5, -2, -1945? -2 What is the nearest to 0 in -2, 0.2, 6/119, -3, -8? 6/119 What is the closest to 390 in 25, 6.9, 4, -4/3? 25 Which is the closest to -19? (a) 0.22 (b) -4 (c) -0.06 (d) -0.4 b What is the nearest to 5 in -70, 0, -3? 0 Which is the closest to 5? (a) -5 (b) 10 (c) -36/23 b Which is the nearest to -10/19? (a) -15/38 (b) 3 (c) -0.2 a Which is the closest to -3? (a) -2.2 (b) 0 (c) -5 (d) -40 (e) -2 a Which is the closest to 2/3? (a) 58 (b) 5 (c) 20 (d) -3/7 (e) 0.1 e Which is the closest to -1/34? (a) 1 (b) -1 (c) -4 (d) 4.33 b What is the nearest to 2/5 in -5.68, 2, -0.063? -0.063 Which is the closest to 1/4? (a) -616 (b) -1/5 (c) -2/11 c What is the closest to 1/5 in -1, -5, -81? -1 Which is the closest to 1/2? (a) -0.0974 (b) 0.1223 (c) 1/5 c What is the nearest to -0.8 in 16, -917, -0.3, 5/3, 0? -0.3 What is the closest to -2.3 in 0.3, -0.051, -2, -2/3? -2 Which is the closest to -0.05? (a) -4 (b) -1 (c) 2/9 (d) 16 c Which is the nearest to -9/22? (a) -2/3 (b) 47 (c) 1 a Which is the nearest to -29? (a) 2/3 (b) 0 (c) 2/15 (d) -1 (e) 23 d Which is the closest to 4? (a) -8589 (b) -6 (c) -5 c Which is the closest to -2? (a) -4 (b) 0.03 (c) -3 (d) 3/17 c Which is the nearest to -5? (a) 5 (b) -3.24 (c) -4/3 b Which is the closest to 0.1? (a) 3 (b) 132/17 (c) -0.1 (d) 1/4 (e) 74 d What is the closest to 0.2 in 0.2, -10.9, -335? 0.2 What is the closest to 21 in -4, -0.025, -1, -0.2, 3/4? 3/4 Which is the nearest to 1? (a) 0.05 (b) 16 (c) 0.3 (d) 3 (e) 0.044 c Which is the closest to -4.7? (a) 0.4 (b) 150 (c) 1/9 (d) 1 c What is the closest to 0.3 in -2/13, -9/4, 4632? -2/13 Which is the nearest to -1? (a) 0 (b) 0.5 (c) 37/8 (d) 2/5 a Which is the closest to -2? (a) 4 (b) 2 (c) 0.0348 (d) 0.1 c What is the closest to 0 in -4/7, 5, 4, -30.8, 0.3? 0.3 What is the closest to -0.1 in -4, -412, 28, -3, -5? -3 What is the nearest to 1/3 in 1/2, 38, -0.3? 1/2 Which is the closest to -5? (a) 0 (b) 0.2 (c) 114 a Which is the nearest to -0.04735? (a) -0.4 (b) -2 (c) -0.3 c Which is the nearest to -2/9? (a) 24 (b) 0.3 (c) 4/81 (d) 2/9 (e) 1 c What is the nearest to -0.1 in 0.2, 2, 109328? 0.2 Which is the nearest to -1/2? (a) -3 (b) 0.299 (c) 18 (d) 1/3 b What is the nearest to -2 in -27, 0, 2/11, 8? 0 What is the closest to -21364 in -3, -1/4, 0.4? -3 What is the closest to 1/5 in 70584, 3, 5? 3 Which is the nearest to 9? (a) 0.3 (b) 5 (c) -0.3 (d) 0.223 b What is the closest to -4/23 in -1/7, -4, -1/2, -2/15, -0.32? -1/7 What is the closest to -18 in 0.1, -3/7, -1.73? -1.73 What is the closest to 0 in 12, -35666, 4/5? 4/5 What is the closest to -1/68 in -4, 0.09, -9/4, 0? 0 Which is the nearest to -98? (a) -2.5 (b) 2/3 (c) -1/11 a What is the closest to 0.2 in 2/11, -0.01, 2, -3.43? 2/11 What is the closest to 0 in
{ "pile_set_name": "DM Mathematics" }
In base 8, what is 5 + -21350? -21343 In base 2, what is -10100 - -101? -1111 In base 2, what is 0 + -101101? -101101 In base 5, what is 43 + -1422? -1324 In base 11, what is 9 - 156? -148 In base 8, what is 1 + -2721? -2720 In base 3, what is -1010 + 0? -1010 In base 2, what is 11 - -10001001000? 10001001011 In base 14, what is -246 + -4b? -293 In base 9, what is -12 + -16? -28 In base 8, what is 56 - -30? 106 In base 8, what is 2 - 1036? -1034 In base 12, what is 1 - 103? -102 In base 12, what is 3 + 101? 104 In base 9, what is -42 + -57? -110 In base 16, what is 28 - 3? 25 In base 4, what is -20222 + 31? -20131 In base 9, what is -1568 + -1? -1570 In base 13, what is -3 + 14? 11 In base 8, what is 6 - -536? 544 In base 15, what is 16 - -b? 22 In base 10, what is -505 - -2? -503 In base 8, what is 4 - -321? 325 In base 9, what is 83 - -61? 154 In base 5, what is 331 - -12? 343 In base 14, what is 163d - -1? 1640 In base 16, what is f - -6? 15 In base 10, what is -4 + 109? 105 In base 7, what is 6 - -10133? 10142 In base 9, what is 2 - -142? 144 In base 16, what is 276 - -4? 27a In base 5, what is -10 + 101? 41 In base 4, what is -10320 + -1012? -11332 In base 9, what is 7 - 15? -7 In base 10, what is 4 - 486? -482 In base 11, what is -8 - 13? -20 In base 5, what is 212213 - 1? 212212 In base 7, what is -105 - 1? -106 In base 4, what is 300 + 11? 311 In base 11, what is 2 + 271a? 2721 In base 8, what is -310 - -2? -306 In base 14, what is -3 + -1350? -1353 In base 9, what is -4781 + 4? -4776 In base 15, what is 8b + 106? 192 In base 3, what is -202 - 21? -1000 In base 10, what is 4 - 15? -11 In base 14, what is 1482 - 5? 147b In base 10, what is 950 - -4? 954 In base 7, what is 12125 + -4? 12121 In base 14, what is -1d5 + 4? -1d1 In base 14, what is 23 - -485? 4a8 In base 16, what is -2 - 40? -42 In base 11, what is -4 - 13? -17 In base 7, what is -2162 - 6? -2201 In base 8, what is -356 + -3? -361 In base 7, what is -136 - -5? -131 In base 9, what is 1878 - 2? 1876 In base 3, what is -122 + 2? -120 In base 11, what is 7837 + 5? 7841 In base 12, what is 11 + -3? a In base 2, what is 10001010001 - 11? 10001001110 In base 4, what is 111 + -222? -111 In base 3, what is -111122010 + 2? -111122001 In base 3, what is -222 - -10? -212 In base 4, what is 1 + 22? 23 In base 2, what is -100 + 100010101? 100010001 In base 3, what is 10 + -112? -102 In base 4, what is 32 + 1300? 1332 In base 8, what is 67 - 245? -156 In base 3, what is -12 - 10112? -10201 In base 2, what is 10111 + -100000? -1001 In base 10, what is 1 - -5? 6 In base 15, what is -2 - -36? 34 In base 4, what is 3 + -1211? -1202 In base 16, what is -76 + -5? -7b In base 3, what is 12001210 + 0? 12001210 In base 15, what is a4 - -81? 135 In base 15, what is 473 - -3? 476 In base 8, what is -4163 + 1? -4162 In base 7, what is -3662 - 2? -3664 In base 4, what is -11223 - -2? -11221 In base 5, what is 221 + 4? 230 In base 9, what is 0 + -740? -740 In base 9, what is 325 + 4? 330 In base 11, what is -4 + -366? -36a In base 16, what is 3 + -20? -1d In base 4, what is 101132 + 3? 101201 In base 10, what is -40 - 65? -105 In base 16, what is -2 + -812? -814 In base 5, what is 140 + 3221? 3411 In base 2, what is -1101 + -1101? -11010 In base 2, what is 101 + 1000000? 1000101 In base 12, what is -66 - -a1? 37 In base 7, what is -160 - 30? -220 In base 2, what is -1011100 - -10? -1011010 In base 4, what is -20012 - -1? -20011 In base 8, what is 647 - 2? 645 In base 7, what is -2 - 10421? -10423 In base 5, what is 2034 + 4? 2043 In base 11, what is 6 + 4? a In base 2, what is -111 - -1100010101? 1100001110 In base 4, what is 3202 - -113? 3321 In base 4, what is -103 - 11113? -11222 In base 3, what is -12 - -211? 122 In base 16, what is 11d + 7? 124 In base 2, what is 1000101 + -1011? 111010 In base 6, what is -151142 - -2? -151140 In base 15, what is d - 5b? -4d In base 6, what is -2110 + 14? -2052 In base 7, what is -4 + 63? 56 In base 6, what is -204 - -132? -32 In base 10, what is 16 - 2? 14 In base 7, what is 333 - -3? 336 In base 9, what is 5 - 4? 1 In base 2, what is 0 + 111010? 111010 In base 11, what is -4 + -1a78? -1a81 In base 13, what is 358 + -4? 354 In base 11, what is -109 - 2? -110 In base 4, what is 110 + -1031? -321 In base 10, what is -9 + 12? 3 In base 9, what is -11580 + 2? -11577 In base 7, what is -35 - -10? -25 In base 10, what is -5 + -40? -45 In base 3, what is -2020111 + 12? -2020022 In base 2, what is -10011011 - -10? -10011001 In base 4, what is 12 - 30230? -30212 In base 12, what is 187 + -12? 175 In base 14, what is -48 + 0? -48 In base 15, what is -34 + -11? -45 In base 4, what is -23 + 3232? 3203 In base 3, what is 1022000002 - 11? 1021222221 In base 2, what is -1010 + -10000? -11010 In base 14, what is -12c8 + -5? -12cd In base 16, what is 57 - -20? 77 In base 7, what is -123 + -31? -154 In base 6, what is 120 - -225? 345 In base 16, what is 1f - 15e? -13f In base 4, what is -210130 - -10? -210120 In base 3, what is 10 + 1111? 1121 In base 12, what is 19 + 73? 90 In base 9, what is -2882 - -5? -2876 In base 3, what is -110 - 2? -112 In base 5, what is 33140 - -14? 33204 In base 11, what is 20 - 1a0? -180 In base 14, what is 42 + 11? 53 In base 15, what is 41 + 4? 45 In base 3, what is 11201 + 0? 11201 In base 13, what is -c8 + 5? -c3 In base 6, what is 2 + -20? -14 In base 10, what is 2 + 4? 6 In base 15, what is b1 - -3? b4 In base 3, what is 11021 - -1121? 12212 In base 6, what is 0 - 24101? -24101 In base 13, what is 2 + 49? 4b In base 10, what is 4 - 4755? -4751 In base 11, what is -4 - -1286? 1282 In base 3, what is 202 + 120? 1022 In base 13, what is -2 + -14c? -151 In base 9, what is 0 - 680? -680 In base 9, what is 0 - -1615? 1615 In base 6, what is -1 + -13454? -13455 In base 13, what is -2 + a86? a84 In base 13, what is 20 - -6? 26 In base 11, what is 1 + -22? -21 In base 14, what is 8a + b? 97 In base 4, what is 22302 - -11? 22313 In base 2, what is 1 + 1010? 1011 In base 11, what is 14 - -68? 81 In base 8, what is 420 + -4? 414 In base 15, what is -9 + -a? -14 In base 2, what is -1 - -1111100010? 1111100001 In base 10, what is -42 - 234? -276 In base 16, what is -1 + 50? 4f In base 10, what is 7924 - 2? 7922 In base 5, what is -4030 - -3? -4022 In base 5, what is 11 + -32? -21 In base 5, what is 3 + 3314? 3322 In base 8, what is -536 + 1? -535 In base 3, what is 22 - -2121? 2220 In base 12, what is 1 - 241? -240 In base 13, what is 3 + -9? -6 In base 12, what is -1 - 20? -21 In base 13, what is -6aa + -2? -6ac In base 4, what is -2130 + 11? -2113 In base 8, what is -5743 - 0? -5743 In base 11, what is -4 + 59? 55 In base 5, what is -2 + -14134? -14141 In base 6, what is 11 - 212? -201 In base 11, what is -5 + 5a? 55 In base 14, what is 29 + -98? -6d In base 9, what is 2 - 21? -18 In base 14, what is -10 + -31? -41 In base 12, what is -1a + 9? -11 In base 8, what is -11 + -30? -41 In base 2, what is 100 + -11100110010? -11100101110 In base 5, what is -10 + 3? -2 In base 12, what is -4a31 - -5? -4a28 In base 4, what is -11 - 2133? -2210 In base 11, what is -13 + 2? -11 In base 7, what is -100 + 0? -100 In base 11, what is -7 + 182? 176 In base 8, what is 0 + -166? -166 In base 2, what is 1001000000111101 + 0? 1001000000111101 In base 2, what is 1100101110000 + -10? 1100101101110 In base 5, what is -3 - 1113? -1121 In base 8, what is -10765 - 4? -10771 In base 16, what is 22d - -3? 230 In base 14, what is -53 - 34? -87 In base 2, what is -111101011 + -1010? -111110101 In base 13, what is 3 - 819? -816 In base 7, what is -4 + 21? 14 In base 4, what is 1 + -20? -13 In base 16, what is -5 - 59? -5e In base 7, what is 13 + -30? -14 In base 9, what is -4 - -743? 738 In base 16, what is 3 - -1177? 117a In base 10, what is 0 + -741? -741 In base 16, what is -136 - -3? -133 In base 14, what is 1 - -d? 10 In base 5, what is -2 - 113? -120 In base 11, what is 2a1 + 3? 2a4 In base 16, what is -c - 1a? -26 In base 13, what is 1 + 52? 53 In base 8, what is -20 - 160? -200 In base 4, what is 312310 - 1? 312303 In base 12, what is -1 + -308? -309 In base 2, what is -11001101110101 - 100? -11001101111001 In base 5, what is -3112 + -10? -3122 In base 6, what is -14250 +
{ "pile_set_name": "DM Mathematics" }
63864 How many minutes are there in 4/15 of a day? 384 How many millilitres are there in seven quarters of a litre? 1750 Convert 6041.529 centuries to decades. 60415.29 What is 0.4495533 kilometers in meters? 449.5533 How many weeks are there in 7763920.5 hours? 46213.8125 Convert 0.6070095km to millimeters. 607009.5 How many micrometers are there in thirty-seven halves of a millimeter? 18500 What is sixty-four fifths of a meter in millimeters? 12800 What is 31/5 of a litre in millilitres? 6200 How many millennia are there in 1689.245 years? 1.689245 What is 0.9325611ml in litres? 0.0009325611 How many nanograms are there in one quarter of a microgram? 250 How many nanometers are there in one fifth of a micrometer? 200 What is eighteen fifths of a litre in millilitres? 3600 How many months are there in 22/15 of a millennium? 17600 Convert 3857.89ml to litres. 3.85789 What is one sixth of a week in minutes? 1680 What is 47561.87g in nanograms? 47561870000000 Convert 185.34657 months to decades. 1.54455475 How many seconds are there in 2/15 of a minute? 8 What is 21/4 of a hour in seconds? 18900 Convert 9.743298 tonnes to milligrams. 9743298000 What is 3/50 of a litre in millilitres? 60 What is 6868443.33 nanoseconds in weeks? 0.000000011356553125 How many centimeters are there in five eighths of a kilometer? 62500 How many millilitres are there in one fifth of a litre? 200 How many millilitres are there in 771.1531l? 771153.1 What is 7/4 of a century in months? 2100 How many nanograms are there in twenty-one fifths of a microgram? 4200 What is 29.98471ug in grams? 0.00002998471 How many nanometers are there in 41/2 of a micrometer? 20500 How many minutes are there in 11/8 of a week? 13860 What is 25435.032 months in centuries? 21.19586 What is 3/5 of a milligram in micrograms? 600 What is 7/2 of a meter in millimeters? 3500 How many millilitres are there in 34/5 of a litre? 6800 Convert 22.649955 months to millennia. 0.00188749625 How many minutes are there in 7/6 of a week? 11760 Convert 9600.707ms to microseconds. 9600707 How many millilitres are there in 59/5 of a litre? 11800 How many years are there in twenty-six fifths of a century? 520 What is 1.718837 milligrams in micrograms? 1718.837 What is 9.905208 centuries in months? 11886.2496 How many microseconds are there in one fifth of a millisecond? 200 What is 5/4 of a millennium in months? 15000 What is 30874.39ns in milliseconds? 0.03087439 How many millilitres are there in 3/25 of a litre? 120 What is 6/5 of a microsecond in nanoseconds? 1200 What is five quarters of a kilogram in grams? 1250 What is 84988.77ng in grams? 0.00008498877 What is 3/40 of a gram in milligrams? 75 Convert 21186.45 months to millennia. 1.7655375 What is 26/5 of a litre in millilitres? 5200 What is 509.1286 millennia in years? 509128.6 What is 3.527988ns in milliseconds? 0.000003527988 What is thirteen eighths of a kilometer in meters? 1625 How many millilitres are there in 3/8 of a litre? 375 What is 5/8 of a kilometer in centimeters? 62500 How many nanometers are there in 95715.84um? 95715840 How many millimeters are there in fifty-five halves of a meter? 27500 Convert 603793.9 micrograms to milligrams. 603.7939 What is 3/5 of a millennium in months? 7200 Convert 992.966 milligrams to tonnes. 0.000000992966 How many millennia are there in 774.6456 centuries? 77.46456 How many millimeters are there in seven quarters of a meter? 1750 How many years are there in 885.2797 decades? 8852.797 What is 59.34598 micrometers in kilometers? 0.00000005934598 How many hours are there in 859.65372ms? 0.0002387927 How many milliseconds are there in thirteen quarters of a second? 3250 What is eighty-nine halves of a gram in milligrams? 44500 How many litres are there in 7487.814 millilitres? 7.487814 How many months are there in 770.0081 centuries? 924009.72 What is 505066.9l in millilitres? 505066900 How many nanometers are there in 10080.55mm? 10080550000 What is 23454.94 nanometers in meters? 0.00002345494 What is 95500.6 kilograms in micrograms? 95500600000000 How many grams are there in three fifths of a kilogram? 600 What is one quarter of a second in milliseconds? 250 How many months are there in six fifths of a millennium? 14400 What is 6/25 of a meter in centimeters? 24 What is 9.295866ug in grams? 0.000009295866 What is 10324.3 weeks in hours? 1734482.4 How many millimeters are there in 3227.168 micrometers? 3.227168 How many seconds are there in 9705.27us? 0.00970527 Convert 7600.195ml to litres. 7.600195 What is sixteen sevenths of a week in days? 16 What is 5419.119 months in decades? 45.159325 What is 7/2 of a kilometer in meters? 3500 What is 7000.788mm in micrometers? 7000788 What is 1172199.6 seconds in hours? 325.611 What is 1.038685 millilitres in litres? 0.001038685 What is 13645.09t in kilograms? 13645090 How many millilitres are there in 3/8 of a litre? 375 What is 620702.3kg in tonnes? 620.7023 What is 8/3 of a century in months? 3200 How many millilitres are there in 8/25 of a litre? 320 Convert 7.594434 hours to days. 0.31643475 What is 7/8 of a kilometer in meters? 875 What is 239.7753 decades in centuries? 23.97753 How many tonnes are there in 0.113943ug? 0.000000000000113943 What is three eighths of a kilometer in meters? 375 Convert 56457.04mm to micrometers. 56457040 What is 7/8 of a gram in milligrams? 875 How many millilitres are there in 6/5 of a litre? 1200 How many millilitres are there in twenty-six fifths of a litre? 5200 How many millilitres are there in 2.62076l? 2620.76 What is 731972.7mg in kilograms? 0.7319727 What is 33.56939 litres in millilitres? 33569.39 How many nanograms are there in 3/5 of a microgram? 600 What is 613761.6 litres in millilitres? 613761600 What is 1746.894cm in micrometers? 17468940 Convert 0.6023856g to milligrams. 602.3856 How many months are there in 9/25 of a millennium? 4320 What is 5237.3655ns in hours? 0.00000000145482375 What is three sevenths of a week in hours? 72 Convert 94.45997g to tonnes. 0.00009445997 What is 7/4 of a year in months? 21 What is thirty-two fifths of a meter in centimeters? 640 How many micrometers are there in three fifths of a centimeter? 6000 Convert 863.3694 decades to months. 103604.328 How many milliseconds are there in 19/4 of a second? 4750 How many micrograms are there in 43613.03 milligrams? 43613030 How many grams are there in fourty-four fifths of a kilogram? 8800 How many millilitres are there in 3/50 of a litre? 60 What is 848.843ml in litres? 0.848843 How many minutes are there in two ninths of a day? 320 What is 4/3 of a minute in seconds? 80 What is 0.63965mg in micrograms? 639.65 What is 59.04431cm in micrometers? 590443.1 What is 5.772641 milligrams in tonnes? 0.000000005772641 How many nanograms are there in 531.5095ug? 531509.5 What is twenty-five sevenths of a week in days? 25 What is six fifths of a tonne in kilograms? 1200 What is 3104.867 millennia in months? 37258404 What is 25/8 of a litre in millilitres? 3125 What is twenty-seven fifths of a litre in millilitres? 5400 What is 654580.8 months in decades? 5454.84 How many years are there in 37/5 of a century? 740 What is 17/4 of a litre in millilitres? 4250 How many grams are there in 3/8 of a kilogram? 375 What is twenty-nine halves of a litre in millilitres? 14500 Convert 95824.83 decades to centuries. 9582.483 What is 458653.9 nanograms in grams? 0.0004586539 What is 71558669.7 seconds in weeks? 118.31790625 How many litres are there in 0.5154137 millilitres? 0.0005154137 What is one twentieth of a meter in micrometers? 50000 Convert 880.2821 grams to micrograms. 880282100 How many microseconds are there in one tenth of a millisecond? 100 What is five quarters of a litre in millilitres? 1250 How many millilitres are there in 27/2 of a litre? 13500 What is twenty-one quarters of a litre in millilitres? 5250 How many decades are there in 6.355861 millennia? 635.5861 How many minutes are there in 5533.911 microseconds? 0.00009223185 What is 0.902107 millilitres in litres? 0.000902107 What is two fifteenths of a minute in seconds? 8 How many nanoseconds are there in sixty-four fifths of a microsecond? 12800 How many months are there in eighteen fifths o
{ "pile_set_name": "DM Mathematics" }
3*d + b. Let l = d - 23. What is the units digit of l? 0 Let d = 185 - 122. What is the tens digit of d? 6 Let w = 21 + -7. What is the units digit of 18 + -17 + 1*w? 5 Let a = -7 + 13. Suppose -s - 2*v + 37 = a, 0 = -3*s - 4*v + 91. What is the units digit of s? 9 Let r(x) = -x**2 + 6*x - 4. Suppose 0 = 7*c - 3*c + 2*q + 18, -5*c - 4*q - 21 = 0. Let i = c - -9. What is the units digit of r(i)? 4 Let w = 9 + -19. Let z be (-5)/(w/(-4)) + 10. Suppose j - z = -2. What is the units digit of j? 6 Suppose b = 3*b + 6. Let w = 35 + -25. Let x = w - b. What is the tens digit of x? 1 Let c(w) = w**3 - 11*w**2 + 5*w - 7. What is the units digit of c(12)? 7 Let u = 2 + 2. Suppose 0 = -u*q + q + 135. Suppose 8*a = 2*x + 3*a - 21, -5*x + q = -5*a. What is the units digit of x? 8 Let q be (2/5)/(2/80). Suppose 0 = j - 5*j + q. What is the units digit of j? 4 Let u(a) = 5*a + 29. Let d(y) = -y - 6. Let l(s) = 11*d(s) + 2*u(s). Let x be l(-6). Let z = x + 3. What is the units digit of z? 1 Suppose -23*a + 22*a = -62. What is the tens digit of a? 6 Let q be -1 + 3 + (-3 - -3). Suppose 4 = q*r - 8. Suppose -a = a - r. What is the units digit of a? 3 Let x be 1/4 + 5/(-20). Suppose -3*v + x*v = -6. What is the units digit of v? 2 Let t = 65 + 12. What is the tens digit of t? 7 Suppose 11*z = -901 + 4179. What is the hundreds digit of z? 2 What is the units digit of 2 - 11/(11/(-40))? 2 Let t(a) = -2 - 4*a**2 + a**3 - 1 - 2*a**2 + a. What is the units digit of t(6)? 3 Suppose -n + 6 = -5*f, 17 = 4*n - 3*f - 7. Let j = -11 + n. Let z(v) = v**2 + 2*v - 6. What is the units digit of z(j)? 9 Let j be (-15)/(-6)*8/(-10). What is the tens digit of 16 - j/(1 - -1)? 1 Suppose -600 = -15*g + 90. What is the units digit of g? 6 Let w(f) = f**3 + 8*f**2 + 5. Let q be w(-8). Suppose -2*d = -6, q*d = 4*r - 10 - 15. Let l = r - 6. What is the units digit of l? 4 Let y be ((-8)/6)/(2/(-3)). Let v = y + -5. What is the units digit of (v + (-10)/(-4))*-28? 4 Suppose 0 = 2*o + 4*k + 28, -4*o + 3*k - 33 = -10. Let r(w) = -w**3 - 9*w**2 - 8*w + 10. What is the units digit of r(o)? 0 Suppose 32*i = 29*i + 510. What is the tens digit of i? 7 Let z(u) = -8*u**2 + 2. Let s be z(-2). Let y = 54 + s. What is the tens digit of y? 2 Let t(w) = 2*w**2 + 18*w + 8. What is the hundreds digit of t(9)? 3 Suppose 0 = 5*g - 3*l - 103, -3 = 4*l + 1. What is the units digit of g? 0 Let c(n) = -n**2 - 4*n + 2. Let u be c(-4). Let q(m) = 1 + 2*m + 7*m**2 - 3*m - 5*m**2. What is the units digit of q(u)? 7 Suppose -2*o - 2 = -6. Let v = o + 4. What is the units digit of v? 6 Let n = -16 + 37. What is the units digit of n? 1 Let c(n) = n**2 - 10*n + 9. Let f be c(9). Suppose -3*g + 0*g = f. Suppose 5*w + 2*r - 61 = g, 0 = -w - 3*r + 4*r + 15. What is the units digit of w? 3 Let n = -4 + 4. Let f(d) = -5*d**2 - d**3 + n*d + 0 - 3 - 2*d. What is the units digit of f(-5)? 7 Suppose -22 = -2*z - 2*f + 8, -3*z + 3*f = -39. What is the units digit of z? 4 Suppose 0 = -5*w + 274 - 14. Let r = w + -32. What is the units digit of r? 0 Let k(x) = 3*x**2 - 4*x - 9. What is the units digit of k(-5)? 6 Let i(y) = -y + 2*y + 2*y - 2. What is the units digit of i(1)? 1 Let n(i) = -i**3 - 2*i**2 + 5*i + 3. Let t be n(-3). Let q(x) = x**2 - x - 1. What is the units digit of q(t)? 1 Let u(o) = -o - 1. Let y be u(-6). Suppose -z - 2 = -0*z, y*m - 2*z = 29. Suppose -3*w + 4 = -4*c, -m*c + w = -2*w + 2. What is the units digit of c? 2 Let a = 0 + 4. Suppose -3*m + a = -44. What is the tens digit of m? 1 Suppose 4*q = -j - 10 + 3, -3*j + 49 = -2*q. Suppose 5*x + j = -12. Let n = x + 8. What is the units digit of n? 3 Suppose 0 = 4*o - 0 - 16. What is the units digit of o? 4 Let u = -63 + 129. Suppose 0 = -4*v + 5*r + 208 - u, -2*r + 29 = v. Suppose v = -4*f + 81. What is the units digit of f? 2 Let w(v) = v**3 + 7*v**2 + 7*v + 8. Let o be w(-6). Let p(l) = l**o + 2 + 3*l + 3 + 0. What is the units digit of p(-4)? 9 Suppose 5*l = c + 2*l - 274, 0 = -2*c - 2*l + 572. What is the units digit of c? 3 What is the tens digit of (-3 - -4)/(1/55)? 5 Let p be 7/28 + 30/8. Suppose -s + 41 = -p*y, -5*y - 41 = -4*s + 90. What is the units digit of s? 9 Suppose -3*b - h = 4*h - 14, b - 6 = -3*h. Suppose 103 = 5*i + b*n, 0*i + 2*i = 3*n + 37. What is the tens digit of i? 2 Let x = -102 + 145. What is the tens digit of x? 4 What is the tens digit of 40 + 4 - (0 - 5)? 4 Let h = 9 + -6. What is the tens digit of ((-10)/6)/(h/(-27))? 1 Let p(l) = l + 16. What is the units digit of p(-7)? 9 Let s(i) be the third derivative of -i**5/60 - 5*i**4/12 - i**3/3 + i**2. What is the units digit of s(-7)? 9 Suppose -5*o - 1 = -i + 4, -2*i = 5*o + 5. Suppose l = -i*l. Let j = 8 - l. What is the units digit of j? 8 Suppose 2*w - 16 = 3*f, 16 = 2*w - 0*w + 3*f. Suppose -w = -i + 2. What is the units digit of i? 0 Suppose 5*p = 15, 4*c - 21 = -3*p + 12. What is the units digit of c? 6 Let d = 4 - -1. Let h(v) = 5*v**3 - 2*v**2 + 9*v - 9. Let u(l) = 11*l**3 - 3*l**2 + 19*l - 19. Let f(r) = -9*h(r) + 4*u(r). What is the units digit of f(d)? 5 Suppose 3*t = 2*t + 1. Let l be (-15)/2 - t/2. Let f(x) = x**3 + 9*x**2 + 7*x - 6. What is the units digit of f(l)? 2 Let u(f) be the second derivative of -1/20*f**5 - 7/12*f**4 + 7/2*f**2 - f**3 + 0 + f. What is the units digit of u(-6)? 7 Suppose 17 + 15 = 4*n. Suppose z = n + 7. What is the units digit of 9/2*40/z? 2 Let k(d) = d**3 + 8*d**2 + 7*d + 5. Let z be 3*(1/(-3) + -2). What is the units digit of k(z)? 5 Let n be 5 + (-2 + 1 - 0). Suppose 5*q + 0*q = -n*o - 33, 4 = 3*o - 2*q. What is the units digit of 0 - (-11 - o) - 2? 7 Let k be (0 + -7)/((-2)/6). Suppose -3*q + k = -9. What is the tens digit of q? 1 Suppose 0*u + 2*u = -2*k, 2*u + 16 = 2*k. Suppose -g = -6*g + p, k*g + 11 = 3*p. What is the units digit of g? 1 Suppose 2*d - 15 = -3*d. Suppose 4*u - d + 1 = -2*z, -4*u + 17 = -z. What is the units digit of u? 3 Let k = 10 + -26. Let m = k - -20. What is the units digit of m? 4 Let f be (-12)/(-3 + -1) - -4. Suppose -2*l + 4*l - 6 = 0. Suppose b + 8 = 4*r - 7, l*r - f = 5*b. What is the units digit of r? 4 Let u(j) = j**3 + 11*j**2 - 12*j + 5. Let p be u(-12). Suppose -110 = -4*w + p*v + 92, -v + 190 = 4*w. What is the tens digit of w? 4 What is the hundreds digit of (2/(-3))/((-8)/1452)? 1 Let t(c) = -c**3 + 2*c**2 - c + 2. Let j be t(2). Let r be (-6)/4 - 22/(-4). Suppose -k + r*i = 3*k - 20, -2*k + 3*i + 13 = j. What is the units digit of k? 2 Let z(w) = w**2 - 9*w + 11. Let b(m) = m**2 - 9*m + 12. Let j(k) = -2*b(k) + 3*z(k). Let h be -6*(20/12 - 3). What is the units digit of j(h)? 1 Suppose -2*n = n - l + 11, 2*n = 4*l - 24. Let q be (-1)/(1 - (-1)/n). What is the units digit of 0 - (q + 1) - 0? 1 Let i(r) be the first derivative of -r**3/3 + 5*r**2 + 3*r - 1. Suppose 4*k - 9*k + 50 = 0. What is the units digit of i(k)? 3 Let l = -107 + 186. What is the tens digit of l? 7 Let s(k) = -3*k**3 - 2*k**2 - k - 4. What is the tens digit of s(-2)? 1 Let z = 98 - 58. What is the tens digit of z? 4 Let c be (-3 - -2)/((-2)/8). Suppose z = -0*z - c. What is the units digit of (11/(-2))/(2/z)? 1 Let o(f) = -22*f. Let x be o(-1). Suppose -5*s + 23 = 4*d, 4*d - 75 = s - x. What is the units digit of d? 2 Let g be (-2)/7 + (-32)/(-14). Let t(j) = 0*j**2 + 2 - g*j + j**2 + 0. What is the units digit of t(3)? 5 Let v = -22 + 96. Let o = v + -48. What is the tens digit of o? 2 Let i(b) = b - 1 + 4 + 1. Suppose j - 2*x = 2*x - 19, 0 = 4*j - 5*x + 32. What is the units digit of i(j)? 1 Suppose 4*b - 25 = 107. What is the units digit of b? 3 Suppose -5*n = -41 + 11. Let m = 2 - n. What is the units digit of -2 + (-2 - m) + 4? 4 Suppose -2*t - 23 = -3*g, 26 = 4*g - 5*t - 0*t. What is the units digit of g? 9 Suppose 0 = -5*u + 5*j - 560, -2*j - 55 = 2*u + 181. Let a = -66 - u. Suppose -5*y = 4*n - a, 4*n - 27 = 2*n - 3*y. What is the units digit of n? 6 Suppose -2*t - 10 = 3*t. Let k be 11*((-3)/(-1) + t). Suppose 0 = b - k + 3. What is the units digit of b? 8 Suppose g - 3 = 3*n, 3*n + 16 = 1. Let b be (-2)/(-4) + (-66)/g. What is the units digit of 0 + (-30)/(b/(-3))? 5 Let v = -199 + 301. Let f = v - 73. What is the tens digit of f? 2 Let z = -25 - -13. Let b = 14 + z. What is the units digit of b? 2 Let m(v) = 0 +
{ "pile_set_name": "DM Mathematics" }
1)**2 Solve 2*r**3/13 + 2*r**2/13 - 8*r/13 - 8/13 = 0. -2, -1, 2 Factor 2*z**3/3 + 14*z**2/3 - 4*z - 48. 2*(z - 3)*(z + 4)*(z + 6)/3 Solve -2*b**3 + 154*b**2 = 0. 0, 77 Factor -v**2 + 43*v - 462. -(v - 22)*(v - 21) Determine w so that -4*w**3/3 + 20*w**2/3 + 8*w/3 - 32 = 0. -2, 3, 4 Factor -2*y**5/3 - 4*y**4 - 8*y**3 - 20*y**2/3 - 2*y. -2*y*(y + 1)**3*(y + 3)/3 Solve -c**4 - c**3 + 30*c**2 = 0. -6, 0, 5 Let 2*s**3 + 2*s**2 - 4*s = 0. Calculate s. -2, 0, 1 Let -7*j**2/4 - 1003*j/4 - 143/2 = 0. What is j? -143, -2/7 Factor -q**3/2 + 65*q**2/2 - 763*q/2 + 2499/2. -(q - 51)*(q - 7)**2/2 Suppose y**3/5 - 214*y**2 + 285152*y/5 + 574592/5 = 0. Calculate y. -2, 536 What is i in -3*i**4 + 42*i**3 - 207*i**2 + 408*i - 240 = 0? 1, 4, 5 Factor 2*m**2 + 16080*m + 32320800. 2*(m + 4020)**2 Factor -3*p**3/7 - 192*p**2/7 - 2055*p/7 + 2250/7. -3*(p - 1)*(p + 15)*(p + 50)/7 Factor -s**3/2 + 88*s**2 - 175*s/2. -s*(s - 175)*(s - 1)/2 Find l such that -3*l**5 + 48*l**4 - 282*l**3 + 720*l**2 - 675*l = 0. 0, 3, 5 Factor 3*p**4/5 + 6*p**3 + 87*p**2/5 + 96*p/5 + 36/5. 3*(p + 1)**2*(p + 2)*(p + 6)/5 Factor 4*g**3/9 + 112*g**2/9 + 320*g/3 + 256. 4*(g + 4)*(g + 12)**2/9 Suppose -2*b**4 + 2*b**3 + 10*b**2 + 6*b = 0. What is b? -1, 0, 3 Suppose -3*p**3/4 - 1107*p**2/4 - 136161*p/4 - 5582601/4 = 0. Calculate p. -123 Factor 2*r**3/9 - 16*r**2/9 + 14*r/9. 2*r*(r - 7)*(r - 1)/9 Factor v**5 - 2*v**4 - 6*v**3 + 20*v**2 - 19*v + 6. (v - 2)*(v - 1)**3*(v + 3) Suppose 2*m**2/13 - 36*m/13 + 34/13 = 0. What is m? 1, 17 Factor 2*f**2/5 - 10. 2*(f - 5)*(f + 5)/5 Factor -2*v**3 - 1226*v**2 - 1224*v. -2*v*(v + 1)*(v + 612) What is y in -98*y**4/5 + 798*y**3/5 - 32*y**2/5 - 672*y/5 + 256/5 = 0? -1, 4/7, 8 Factor m**3 + 10*m**2 + 24*m. m*(m + 4)*(m + 6) Factor -3*m**2 + 21*m + 24. -3*(m - 8)*(m + 1) Determine y, given that 3*y**2/7 + 60*y/7 - 900/7 = 0. -30, 10 Suppose 4*f**2/3 + 768*f + 110592 = 0. Calculate f. -288 Let o**3 - 3*o**2 - 24*o + 80 = 0. What is o? -5, 4 Factor -c**3/2 + 5*c**2 + 69*c/2 + 45. -(c - 15)*(c + 2)*(c + 3)/2 Factor -5*u**2 + 45*u - 70. -5*(u - 7)*(u - 2) Solve -2*y**3 - 18*y**2 + 96*y - 104 = 0. -13, 2 Find s, given that s**5 - 14*s**4/3 - 50*s**3/3 + 40*s**2 + 69*s + 18 = 0. -3, -1, -1/3, 3, 6 Factor 4*j**2 - 68*j + 120. 4*(j - 15)*(j - 2) Suppose 9*u**3/4 + 91*u**2/2 + 226*u + 48 = 0. Calculate u. -12, -8, -2/9 Factor j**3/2 - 3*j**2 - 9*j/2 + 7. (j - 7)*(j - 1)*(j + 2)/2 What is m in 2*m**3 - 54*m**2 - 114*m - 58 = 0? -1, 29 Find c, given that 2*c**5/15 - 2*c**4/15 - 2*c**3/5 + 2*c**2/3 - 4*c/15 = 0. -2, 0, 1 Factor 4*z**3/11 + 350*z**2/11 + 7912*z/11 + 11094/11. 2*(z + 43)**2*(2*z + 3)/11 Let 2*y**4/3 + 20*y**3/3 + 50*y**2/3 = 0. What is y? -5, 0 Find z, given that -2*z**2 + 58*z - 56 = 0. 1, 28 Factor 2*c**2 + 10*c + 8. 2*(c + 1)*(c + 4) Factor -2*d**3 + 9808*d**2 - 12024608*d. -2*d*(d - 2452)**2 Suppose -121*z**4/2 + 8547*z**3/2 + 5916*z**2 + 1726*z + 144 = 0. Calculate z. -1, -2/11, 72 Let -a**3/7 - 25*a**2/7 - 16*a + 84 = 0. Calculate a. -14, 3 Factor m**3 - 70*m**2 + 549*m. m*(m - 61)*(m - 9) Let -3*u**3 - 132*u**2 + 567*u - 432 = 0. Calculate u. -48, 1, 3 Factor 4*j**3/5 + 28*j**2/5 + 44*j/5 + 4. 4*(j + 1)**2*(j + 5)/5 What is i in -5*i**5 - 80*i**4 - 380*i**3 - 410*i**2 + 385*i + 490 = 0? -7, -2, -1, 1 What is y in y**5/2 - 127*y**4/2 - 133*y**3/2 + 643*y**2/2 - 192*y = 0? -3, 0, 1, 128 What is y in 2*y**5/3 + 22*y**4/3 + 70*y**3/3 + 50*y**2/3 - 24*y - 24 = 0? -6, -3, -2, -1, 1 Let 5*m**5/2 - 4*m**4 - 29*m**3/2 + 10*m**2 + 6*m = 0. Calculate m. -2, -2/5, 0, 1, 3 Find z, given that 2*z**3/19 - 68*z**2/19 + 122*z/19 + 192/19 = 0. -1, 3, 32 Factor 2*m**3 - 486*m**2 + 29280*m + 29768. 2*(m - 122)**2*(m + 1) Factor -3*g**2 - 624*g - 1236. -3*(g + 2)*(g + 206) Factor -4*l**2/9 - 1436*l/9 + 2888/9. -4*(l - 2)*(l + 361)/9 Determine n, given that -5*n**4/3 + 50*n**3/3 + 5*n**2/3 - 50*n/3 = 0. -1, 0, 1, 10 Suppose 5*t**3 + 40*t**2 - 8295*t + 110250 = 0. Calculate t. -50, 21 Solve 4*l**2 + 12*l - 280 = 0. -10, 7 Determine b so that -80*b**5 + 840*b**4 - 405*b**3 + 50*b**2 = 0. 0, 1/4, 10 Factor 84*d**3 + 248*d**2 - 348*d + 16. 4*(d - 1)*(d + 4)*(21*d - 1) Let 3*g**3 + 21*g**2 - 120*g + 132 = 0. Calculate g. -11, 2 Suppose -h**2/2 + 432*h - 93312 = 0. What is h? 432 Factor 4*a**3 - 2924*a**2 + 532896*a + 535824. 4*(a - 366)**2*(a + 1) Find f such that 2*f**2/9 + 260*f/9 = 0. -130, 0 Determine b, given that 2*b**4/3 + 4*b**3/3 - 8*b**2 + 28*b/3 - 10/3 = 0. -5, 1 Determine f, given that -3*f**2 - 24*f - 45 = 0. -5, -3 Let -2*i**5/7 - 6*i**4/7 - 6*i**3/7 - 2*i**2/7 = 0. What is i? -1, 0 Let -16*d**2/5 + 2498*d/5 - 312/5 = 0. Calculate d. 1/8, 156 Factor -5*c**4 + 300*c**3 + 1260*c**2 + 1280*c. -5*c*(c - 64)*(c + 2)**2 Factor -u**3/3 + u**2/3 + 2*u. -u*(u - 3)*(u + 2)/3 Factor -27*n**2 - 156*n + 36. -3*(n + 6)*(9*n - 2) Let -5*x**3 + 180*x = 0. What is x? -6, 0, 6 Factor t**4/3 - 5*t**3/3 + 2*t**2/3 + 20*t/3 - 8. (t - 3)*(t - 2)**2*(t + 2)/3 Factor -10*j**3/11 - 2*j**2 - 4*j/11. -2*j*(j + 2)*(5*j + 1)/11 Solve -4*w**3 + 10*w**2/9 + 58*w/9 + 4/3 = 0 for w. -1, -2/9, 3/2 What is y in -2*y**5/3 - 25*y**4/2 + 13*y**3/3 + 22*y**2 - 11*y/3 - 19/2 = 0? -19, -1, -3/4, 1 Factor 2*f**4 + 3*f**3 - 18*f**2 + 8*f. f*(f - 2)*(f + 4)*(2*f - 1) Factor -5*i**5 + 70*i**4 - 305*i**3 + 420*i**2 - 180*i. -5*i*(i - 6)**2*(i - 1)**2 Factor 15*p**4 - 80*p**3 + 145*p**2 - 100*p + 20. 5*(p - 2)**2*(p - 1)*(3*p - 1) Solve -z**2/7 + 858*z/7 - 488 = 0. 4, 854 Factor -3*q**5/8 + 165*q**4/8 + 513*q**3/8 + 519*q**2/8 + 87*q/4. -3*q*(q - 58)*(q + 1)**3/8 Factor -q**2 - 27*q - 26. -(q + 1)*(q + 26) Factor 3*d**3/7 + 69*d**2/7 - 1992*d/7 + 1920/7. 3*(d - 16)*(d - 1)*(d + 40)/7 Let l**2 - 11794*l + 34774609 = 0. Calculate l. 5897 Find f such that f**5/4 - 3*f**4/4 - f**3/4 + 3*f**2/4 = 0. -1, 0, 1, 3 Factor 5*c**2 - 600*c - 2480. 5*(c - 124)*(c + 4) Find a such that -45*a**5 + 235*a**4 - 275*a**3 - 175*a**2 + 320*a - 60 = 0. -1, 2/9, 1, 2, 3 Find b, given that -b**2 - 8062*b - 16248961 = 0. -4031 Factor -3*n**3 + 3*n**2 + 51*n + 45. -3*(n - 5)*(n + 1)*(n + 3) Suppose 3*s**3 - 21*s + 18 = 0. What is s? -3, 1, 2 Factor z**2/4 + 11*z/2 - 279/4. (z - 9)*(z + 31)/4 Solve -5*z**4 - 1220*z**3 - 98400*z**2 - 2555120*z + 5513680 = 0. -82, 2 What is t in 2*t**2 + 20*t + 50 = 0? -5 Suppose -4*p**5 + 20*p**4 + 36*p**3 - 68*p**2 - 32*p + 48 = 0. What is p? -2, -1, 1, 6 Factor -2*m**5 + 24*m**4 - 114*m**3 + 268*m**2 - 312*m + 144. -2*(m - 3)**2*(m - 2)**3 What is l in -5*l**2 - 33930*l - 57562245 = 0? -3393 Find r, given that 8*r**4/3 - 230*r**3/3 - 314*r**2/3 + 416*r/3 + 40 = 0. -2, -1/4, 1, 30 Factor -2*z**2/9 - 428*z/3 + 1286/9. -2*(z - 1)*(z + 643)/9 Factor -5*h**2 + 7000*h - 2450000. -5*(h - 700)**2 Find x, given that -4*x**4 - 16*x**3 + 40*x**2 + 112*x + 60 = 0. -5, -1, 3 Factor 5*y**2/3 - 61*y/3 + 4. (y - 12)*(5*y - 1)/3 Solve -3*m**3 + 138*m**2 - 1716*m + 2904 = 0 for m. 2, 22 Factor 33*y**4/5 - 258*y**3/5 - 48*y**2/5. 3*y**2*(y - 8)*(11*y + 2)/5 Let -3*l**2 - 3540*l - 1044300 = 0. Calculate l. -590 Factor 4*t**3/7 + 4*t**2 - 88*t + 1088/7. 4*(t - 8)*(t - 2)*(t + 17)/7 Suppose m**4/3 + 56*m**3/3 + 36*m**2 = 0. What is m? -54, -2, 0 Factor -k**4/10 - 31*k**3/10 + 137*k**2/5 + 152*k/5. -k*(k - 8)*(k + 1)*(k + 38)/10 Suppose -4*q**5 + 62*q**4 - 226*q**3 + 326*q**2 - 202*q + 44 = 0. Calculate q. 1/2, 1, 2, 11 Solve 4*n**3 + 100*n**2 + 72*n - 576 = 0 for n. -24, -3, 2 Solve -2*u**2/17 + 2402*u/17 = 0 for u. 0, 1201 Factor -3*k**4 - 213*k**3 - 414*k**2. -3*k**2*(k + 2)*(k + 69) Suppose 3*f**3/2 - 1173*f**2/2 - 2355*f/2 - 1179/2 = 0. Calculate f. -1, 393 Factor 3*g**2/5 + 117*g/5 - 708. 3*(g - 20)*(g + 59)/5 Factor 9*w**2 - 618*w + 408. 3*(w - 68)*(3*w - 2) Let n**2/4 + 55*n/2 + 3025/4 = 0. What is n? -55 Factor -2*t**4/5 + 64*t**3/5 - 284*t**2/5 - 3648*t/5 - 6498/5. -2*(t - 19)**2*(t + 3)**2/5 Factor 3*t**2/4 + 9*t. 3*t*(t + 12)/4 Factor k**2/6 - 5*k/2. k*(k - 15)/6 Factor -5*x**5 - 70*x**4 - 65*x**3. -5*x**3*(x + 1)*(x + 13) Factor 2*p**2 - 26*p + 60. 2*(p - 10)*(p - 3) Factor 5*n**5/2 + 35*n**4/2. 5*n**4*(n + 7)/2 Suppose -u**3 - 81*u**2 - 80*u = 0. What is u? -80, -1, 0 Let -3*s**2/2 + 11*s + 8 = 0. What is s? -2/3, 8 Factor -x**2/2 + 467*x - 932. -(x - 932)*(x - 2)/2 Determine k so that 2*k**3 - 244*k**2 +
{ "pile_set_name": "DM Mathematics" }
/150? 83850 What is the smallest common multiple of 46 and 288952? 6645896 Calculate the lowest common multiple of 4416 and 140576. 843456 What is the least common multiple of 140 and 2878360? 20148520 Find the common denominator of 23/942 and -3/1243. 1170906 What is the lowest common multiple of 7957198 and 39785990? 39785990 What is the common denominator of -49/134338723 and 69/8? 1074709784 What is the common denominator of 3/4250 and 1/527800? 44863000 Find the common denominator of -139/114456 and -47/2510. 572280 Calculate the least common multiple of 59242 and 14573. 45438614 What is the smallest common multiple of 10 and 418145775? 836291550 What is the lowest common multiple of 1011322 and 5614? 7079254 Find the common denominator of -6/96629155 and -91/41412495. 289887465 Calculate the common denominator of -211/326430 and 181/21060. 652860 Calculate the least common multiple of 21150 and 645336. 758269800 Calculate the lowest common multiple of 38 and 52206104. 991915976 What is the least common multiple of 10872647 and 10? 108726470 Calculate the lowest common multiple of 58496 and 34688128. 34688128 What is the smallest common multiple of 175512 and 1286378? 1589963208 What is the common denominator of 7/59714784 and -43/192? 119429568 What is the lowest common multiple of 168410 and 15150? 255141150 Calculate the lowest common multiple of 278931 and 650839. 1952517 What is the common denominator of 73/30112026 and 53/111844668? 782912676 What is the common denominator of -77/321056 and -55/6601714? 105627424 What is the common denominator of -139/558822 and 71/54? 5029398 Calculate the least common multiple of 37841232 and 156. 37841232 Find the common denominator of 39/86155166 and -23/301543081. 603086162 What is the lowest common multiple of 1943508 and 277644? 1943508 What is the least common multiple of 3684 and 1483260? 455360820 What is the common denominator of -105/22 and 151/122177550? 122177550 What is the lowest common multiple of 5360 and 49186308? 983726160 What is the lowest common multiple of 4449 and 818241? 1213451403 Find the common denominator of 73/204340 and -43/591600. 355551600 Calculate the smallest common multiple of 930 and 6145254. 30726270 Calculate the least common multiple of 9724 and 1778744. 23123672 What is the lowest common multiple of 270093771 and 3334491? 270093771 Calculate the common denominator of 61/176 and -49/158864. 1747504 What is the least common multiple of 29498 and 8120? 17108840 What is the common denominator of 52/4502993 and -9/666314? 279185566 What is the smallest common multiple of 199002238 and 11? 2189024618 What is the common denominator of -4/1153 and -58/903? 1041159 What is the smallest common multiple of 97680 and 4560? 1855920 What is the common denominator of -77/3185344 and -67/1941069? 124228416 Calculate the common denominator of -44/2405 and 141/839410. 31058170 What is the smallest common multiple of 441 and 35149905? 35149905 Calculate the common denominator of -131/148030806 and -24/153241. 148030806 What is the lowest common multiple of 21 and 1113881928? 7797173496 What is the lowest common multiple of 61617 and 13432506? 13432506 What is the lowest common multiple of 4762466 and 540494? 252410698 Calculate the least common multiple of 44 and 8559012. 8559012 Calculate the common denominator of 29/40542600 and -103/6450. 1743331800 Calculate the least common multiple of 3584 and 160436. 143750656 What is the smallest common multiple of 109519914 and 36? 657119484 What is the common denominator of 121/13468 and 27/2658656? 98370272 What is the common denominator of -77/710 and -57/7960? 565160 Calculate the least common multiple of 6 and 236509548. 236509548 What is the common denominator of -69/16 and -37/1951278? 15610224 Find the common denominator of -23/21144 and 59/9472. 25034496 What is the least common multiple of 608 and 4196416? 4196416 Find the common denominator of -73/1417304 and -81/140. 7086520 What is the least common multiple of 254000 and 17625? 35814000 Calculate the common denominator of -35/40678 and 41/2928816. 2928816 What is the least common multiple of 868640 and 173728? 868640 Find the common denominator of -85/13356264 and -91/3339066. 13356264 Find the common denominator of -81/4 and 67/32821664. 32821664 Find the common denominator of -117/28 and 45/57544753. 230179012 What is the lowest common multiple of 47929233 and 41899? 623080029 Calculate the smallest common multiple of 17529600 and 33. 17529600 Find the common denominator of 37/9 and 33/218726. 1968534 Calculate the lowest common multiple of 10 and 2738680. 2738680 Find the common denominator of -161/4837440 and -11/40. 4837440 Find the common denominator of -13/234970 and 33/5451304. 27256520 What is the least common multiple of 86640 and 1020? 1472880 What is the common denominator of -49/46592403 and -74/1159015? 232962015 Calculate the common denominator of 37/564 and 7/50659326. 101318652 What is the smallest common multiple of 719565 and 6853? 719565 What is the common denominator of 109/8197176 and -103/24? 8197176 Calculate the lowest common multiple of 10793 and 1909329. 479241579 What is the smallest common multiple of 32202 and 758571? 8142501114 What is the common denominator of -23/2353173 and 61/9? 7059519 Calculate the smallest common multiple of 2853203 and 2472. 68476872 Calculate the smallest common multiple of 18 and 99248202. 99248202 What is the lowest common multiple of 20 and 11702456? 58512280 What is the least common multiple of 116290 and 59? 6861110 What is the smallest common multiple of 432 and 7653438? 183682512 What is the common denominator of 53/472 and 51/25685936? 1515470224 Calculate the common denominator of 49/11714985 and -8/913935. 128864835 What is the common denominator of 59/1148 and 29/1376046? 112835772 Calculate the least common multiple of 996056 and 4731266. 18925064 What is the smallest common multiple of 6948524 and 35982? 62536716 Calculate the common denominator of -38/360366813 and -25/417. 360366813 What is the smallest common multiple of 24165 and 1463220? 785749140 Find the common denominator of 151/283890 and -71/3633792. 18168960 What is the common denominator of 13/22467115 and -113/550? 224671150 Calculate the common denominator of -79/16 and 21/13088662. 104709296 Calculate the lowest common multiple of 83860011 and 27953337. 83860011 Calculate the least common multiple of 17878236 and 5076. 160904124 What is the least common multiple of 50340 and 7394946? 73949460 What is the smallest common multiple of 625966 and 942612? 724868628 What is the smallest common multiple of 9178260 and 30288258? 302882580 Calculate the least common multiple of 84528 and 16392. 57732624 Calculate the lowest common multiple of 307659 and 1920538. 63377754 What is the common denominator of -23/1352 and -1/2967712? 501543328 Calculate the common denominator of 29/214130 and -4/3381. 642390 What is the least common multiple of 31756239 and 31756239? 31756239 What is the smallest common multiple of 1726004 and 8? 3452008 What is the least common multiple of 14 and 12596178? 12596178 What is the lowest common multiple of 123231915 and 153? 2094942555 What is the lowest common multiple of 1340550 and 1350? 1340550 What is the smallest common multiple of 140360388 and 187147184? 561441552 What is the least common multiple of 48162 and 330? 2648910 Find the common denominator of 137/79926 and 42/1840201. 77288442 What is the lowest common multiple of 146452782 and 84? 292905564 Find the common denominator of 31/28872 and -113/1006992. 403803792 Find the common denominator of 95/33068 and -121/42. 99204 Calculate the smallest common multiple of 963494 and 70. 4817470 Calculate the smallest common multiple of 13471698 and 328578. 13471698 Find the common denominator of -127/55518 and -31/22308983. 133853898 Find the common denominator of -83/528472 and 69/96712. 912671144 What is the common denominator of 67/24579 and -6/581? 14280399 Calculate the common denominator of 87/112880 and -97/34061540. 136246160 What is the smallest common multiple of 72856 and 395504? 2768528 What is the common denominator of -119/15143616 and 97/434448? 1
{ "pile_set_name": "DM Mathematics" }
there between 9:29 AM and 11:44 AM? 135 What is 366 minutes after 5:19 PM? 11:25 PM How many minutes are there between 7:48 AM and 6:35 PM? 647 What is 408 minutes after 7:53 PM? 2:41 AM What is 53 minutes before 12:34 AM? 11:41 PM How many minutes are there between 10:38 PM and 8:45 AM? 607 How many minutes are there between 10:23 PM and 10:00 AM? 697 What is 503 minutes before 2:13 AM? 5:50 PM What is 304 minutes before 5:37 PM? 12:33 PM How many minutes are there between 7:08 AM and 4:57 PM? 589 What is 292 minutes after 3:53 PM? 8:45 PM What is 672 minutes after 2:32 PM? 1:44 AM What is 2 minutes after 4:34 PM? 4:36 PM What is 687 minutes before 8:29 PM? 9:02 AM What is 505 minutes after 3:26 PM? 11:51 PM How many minutes are there between 2:46 PM and 2:41 AM? 715 How many minutes are there between 8:57 PM and 1:12 AM? 255 What is 359 minutes after 8:26 AM? 2:25 PM What is 453 minutes before 1:17 AM? 5:44 PM How many minutes are there between 10:16 AM and 1:38 PM? 202 How many minutes are there between 8:34 AM and 10:34 AM? 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12:30 AM What is 585 minutes after 5:14 PM? 2:59 AM What is 429 minutes before 9:52 AM? 2:43 AM What is 181 minutes after 10:43 PM? 1:44 AM What is 661 minutes after 6:28 AM? 5:29 PM What is 279 minutes after 3:01 PM? 7:40 PM What is 19 minutes after 10:50 AM? 11:09 AM How many minutes are there between 7:48 AM and 6:00 PM? 612 How many minutes are there between 12:52 AM and 11:33 AM? 641 How many minutes are there between 5:48 AM and 3:21 PM? 573 How many minutes are there between 1:58 PM and 1:10 AM? 672 What is 463 minutes before 11:40 AM? 3:57 AM How many minutes are there between 2:10 PM and 7:51 PM? 341 What is 374 minutes before 10:55 PM? 4:41 PM What is 399 minutes before 2:59 AM? 8:20 PM How many minutes are there between 12:59 AM and 4:26 AM? 207 What is 102 minutes after 9:17 PM? 10:59 PM What is 149 minutes before 12:15 PM? 9:46 AM What is 572 minutes before 7:11 PM? 9:39 AM How many minutes are there between 10:18 AM and 8:36 PM? 618 What is 558 minutes before 4:11 AM? 6:53 PM How many minutes are there between 7:22 PM and 5:04 AM? 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385 What is 430 minutes after 3:49 AM? 10:59 AM What is 678 minutes after 11:24 PM? 10:42 AM What is 171 minutes after 3:21 PM? 6:12 PM What is 49 minutes before 9:00 PM? 8:11 PM How many minutes are there between 12:55 AM and 1:28 AM? 33 How many minutes are there between 8:46 PM and 5:11 AM? 505 How many minutes are there between 1:34 AM and 10:11 AM? 517 How many minutes are there between 5:02 AM and 3:36 PM? 634 What is 481 minutes before 12:36 PM? 4:35 AM How many minutes are there between 9:07 AM and 8:09 PM? 662 What is 128 minutes after 11:57 PM? 2:05 AM What is 123 minutes before 1:32 AM? 11:29 PM How many minutes are there between 8:17 AM and 7:29 PM? 672 What is 504 minutes after 10:46 AM? 7:10 PM What is 410 minutes after 2:59 AM? 9:49 AM What is 337 minutes before 9:18 PM? 3:41 PM How many minutes are there between 9:00 AM and 4:48 PM? 468 What is 491 minutes before 4:15 PM? 8:04 AM How many minutes are there between 12:04 AM and 9:
{ "pile_set_name": "DM Mathematics" }
Let c(i) = 23*i + 84. Determine c(-12). -192 Let h(v) = -84*v - 1285. What is h(-15)? -25 Let l(d) = d**3 + 8*d**2 + 3*d - 25. What is l(-4)? 27 Let k(t) = -t**2 - 47*t - 128. Determine k(-22). 422 Let b(l) = -24*l + 138. What is b(6)? -6 Let x(i) = -i**2 - 17*i + 903. Give x(-42). -147 Let t(c) = -1421*c + 1434. Give t(1). 13 Let n(j) = -659*j - 5146. What is n(-8)? 126 Let g(y) = -671*y**2 - 2012*y + 4. Give g(-3). 1 Let s(k) = 60*k**2 + 7*k + 24. What is s(-2)? 250 Let d(x) = -150*x + 35. What is d(-1)? 185 Let k(r) = 2*r**2 + 2*r - 270. Give k(14). 150 Let j(b) = b**3 - 6*b**2 - 2*b + 39. Calculate j(4). -1 Let z(v) = v**3 - 51*v**2 + 48*v + 94. Calculate z(50). -6 Let z(s) = -9*s**2 - 410*s - 235. Calculate z(-45). -10 Let x(j) = -250*j**3 + 2*j**2 + 5*j + 4. Calculate x(-1). 251 Let n(o) = -o**2 - 159*o + 1029. Give n(-166). -133 Let p(n) = -374*n + 59462. Determine p(159). -4 Let y(v) = v**3 + 51*v**2 - 166*v - 178. Calculate y(-54). 38 Let c(h) = h**3 - 39*h**2 + 18*h - 696. Determine c(39). 6 Let k(l) = -l**3 + 2*l**2 + 42*l + 24. Give k(-5). -11 Let f(t) = t**3 - 5*t**2 - 74*t - 35. Give f(-6). 13 Let z(k) = k**3 - 88*k**2 + 108*k - 1938. What is z(87)? -111 Let q(v) = -v**3 + 14*v**2 - 56*v + 165. What is q(6)? 117 Let x(b) = -b**3 - 16*b**2 + 32*b - 103. Give x(-18). -31 Let o(l) = 46*l**2 - 26*l + 27. Determine o(1). 47 Let d(z) = -145*z + 5962. Give d(41). 17 Let l(z) = 2*z**2 - 40*z + 116. Calculate l(16). -12 Let o(c) = -c**3 - 48*c**2 + 45*c - 174. Give o(-49). 22 Let c(q) = q**3 - 24*q**2 - 10*q + 250. Determine c(24). 10 Let o(z) = 71*z - 674. What is o(6)? -248 Let v(g) = -242*g + 9674. Give v(40). -6 Let p(s) = -5*s**2 + 4*s - 7. Determine p(1). -8 Let z(d) = -7*d**3 - 523*d**2 - 363*d + 513. What is z(-74)? -5 Let v(y) = -y**2 - 6*y + 71. Calculate v(-11). 16 Let b(i) = -i**3 - 2*i**2 + 33*i - 15. Calculate b(-7). -1 Let r(g) = -g**2 + 24*g + 1542. Determine r(53). 5 Let w(f) = -37*f - 94. Determine w(-12). 350 Let f(c) = -c**2 + 17*c + 138. Calculate f(29). -210 Let b(p) = -12*p + 25. What is b(7)? -59 Let t(c) = 6*c**2 + 101*c + 33. Calculate t(-17). 50 Let w(t) = 8*t**3 + 41*t**2 + 17*t + 2. Determine w(-5). -58 Let g(h) = -h**3 + 144*h**2 + 112*h + 4763. What is g(145)? -22 Let t(p) = -34*p - 5841. Determine t(-172). 7 Let w(y) = y**3 + 5*y**2 + 3*y - 4. Determine w(-3). 5 Let g(v) = -258*v + 1. What is g(0)? 1 Let v(u) = -u**2 + 37*u - 294. Give v(23). 28 Let w(s) = 3*s**3 + 3*s**2 - 8*s + 15. Calculate w(-3). -15 Let j(s) = 2*s**2 + 97*s + 988. Give j(-19). -133 Let b(f) = 18*f**3 - 638*f + 638. Give b(1). 18 Let o(m) = -345*m - 2422. Calculate o(-7). -7 Let p(r) = -153*r**2 - 3*r + 4. Give p(1). -152 Let y(b) = b**3 - 30*b**2 - 210*b - 199. Give y(36). 17 Let z(o) = -o**2 + 185*o - 1749. Calculate z(10). 1 Let k(w) = -44*w**2 - 574*w + 1153. Determine k(2). -171 Let g(t) = 4*t**2 - 7*t + 161. Calculate g(0). 161 Let r(y) = -8*y**2 + 420*y + 1280. Give r(-3). -52 Let h(s) = -102*s + 580. Determine h(6). -32 Let l(q) = 29*q - 401. Determine l(5). -256 Let v(n) = -n**3 + 2*n**2 + 6*n - 43. Give v(0). -43 Let j(m) = -5*m**3 - 2*m**2 - 4*m - 25. Calculate j(-3). 104 Let w(n) = n**3 + 4*n**2 + 15*n + 14. Give w(-7). -238 Let q(m) = -3*m**2 - 23*m - 165. What is q(-7)? -151 Let w(t) = 7586*t - 37939. Determine w(5). -9 Let k(l) = -l**3 + 28*l**2 - 152*l - 10. Determine k(21). -115 Let s(z) = 5*z**2 + 402*z + 761. Calculate s(-78). -175 Let k(r) = -81*r**2 - 10*r + 14. Give k(2). -330 Let n(v) = 22*v - 6. Give n(-5). -116 Let k(h) = -8*h**3 - 56*h**2 + 8*h + 21. Give k(-7). -35 Let o(a) = -a + 235. Determine o(-50). 285 Let k(l) = 7*l**2 + 202*l - 58. Give k(-29). -29 Let r(q) = -q**2 + 29*q - 179. Determine r(21). -11 Let c(n) = 9*n**2 + 40*n + 71. Give c(-2). 27 Let m(c) = c**2 + 57*c + 525. Determine m(-44). -47 Let x(w) = 294*w - 1470. Calculate x(5). 0 Let n(y) = y**3 - 15*y**2 + 65*y - 66. Calculate n(5). 9 Let k(d) = 35*d**2 - 8226*d + 240. Calculate k(235). 5 Let l(d) = 8*d - 114. Give l(15). 6 Let u(r) = r**3 - 37*r**2 + 74*r + 7. Give u(35). 147 Let l(y) = -157*y + 6746. Determine l(43). -5 Let g(u) = -6*u + 183. Give g(31). -3 Let v(t) = 14*t**2 - 262*t - 63. Give v(19). 13 Let k(a) = -4038*a - 72678. Determine k(-18). 6 Let m(y) = 843*y + 3317. What is m(-4)? -55 Let y(g) = -738*g + 25829. What is y(35)? -1 Let d(u) = -u**2 - 36*u - 232. What is d(-27)? 11 Let m(k) = 34*k**3 - 96*k**2 - 16*k - 13. What is m(3)? -7 Let i(g) = g**2 + 90*g + 733. Give i(-9). 4 Let t(z) = 11*z**2 + 21*z - 117. Give t(2). -31 Let d(x) = x**2 - 20*x + 64. What is d(9)? -35 Let y(w) = 14*w**2 - 19*w + 9. Determine y(1). 4 Let f(h) = 3*h - 384. Determine f(34). -282 Let p(c) = 4*c + 186. Give p(-45). 6 Let y(o) = 9*o + 335. What is y(-40)? -25 Let m(q) = -2*q**2 - 464*q - 7. What is m(0)? -7 Let k(g) = 50*g - 5727. Determine k(115). 23 Let h(f) = -3*f**3 - f**2 - 38*f - 38. Determine h(-1). 2 Let p(x) = -2*x**3 - 16*x**2 + 59*x + 505. Determine p(-7). -6 Let j(n) = 6*n**2 - 51*n + 96. What is j(4)? -12 Let h(l) = 2*l**3 - 19*l**2 + 39*l - 7. Give h(6). -25 Let j(a) = -a**3 - 5*a**2 + 47*a + 83. Calculate j(-7). -148 Let k(u) = 325*u + 635. Give k(-2). -15 Let x(c) = -300*c - 8097. Give x(-27). 3 Let t(m) = 272*m + 5704. What is t(-21)? -8 Let p(v) = -v - 27. Give p(-5). -22 Let b(u) = -2*u**3 + 44*u**2 + 434*u - 818. Determine b(29). -6 Let k(t) = -2*t**2 - 26*t - 205. Determine k(-17). -341 Let m(q) = q**2 + 59*q - 286. Determine m(-62). -100 Let c(x) = 21*x**2 - 5*x - 3. Determine c(-1). 23 Let s(c) = c**3 - 19*c**2 - 35*c - 4. Determine s(-2). -18 Let v(b) = b**2 + 2*b + 24. Calculate v(-7). 59 Let u(r) = -497*r - 19409. Give u(-39). -26 Let c(x) = -x**2 - 29*x + 1318. Calculate c(-54). -32 Let h(l) = 18*l**2 - 84*l + 1. What is h(4)? -47 Let t(k) = -8*k**2 + 154*k + 474. What is t(22)? -10 Let m(o) = 6*o**3 + 467*o**2 - 53*o + 1954. Give m(-78). 4 Let g(n) = -19*n + 494. Determine g(31). -95 Let t(l) = 6*l**2 + 11*l + 23. Give t(-2). 25 Let p(n) = -123*n + 30. Give p(-4). 522 Let q(n) = -2*n**3 + 28*n**2 - 66*n + 10. Give q(11). 10 Let g(j) = -j**2 - 22*j + 188. Give g(-29). -15 Let m(j) = -j**3 + 56*j**2 - j + 53. What is m(56)? -3 Let x(y) = -y**3 - 12*y**2 - 30*y - 280. Determine x(-12). 80 Let y(z) = -3*z**2 - 202*z + 1476. What is y(-74)? -4 Let s(r) = -3*r**2 - 31*r + 137. Determine s(-17). -203 Let f(y) = -5372*y + 209513. Give f(39). 5 Let c(i) = -586*i + 6. Calculate c(-1). 592 Let f(l) = -57*l**2 + 1770*l - 12. What is f(31)? 81 Let n(s) = -249*s + 6498. What is n(26)? 24 Let i(v) = 412*v - 2045. What is i(5)? 15 Let s(v) = 100*v - 25. What is s(3)? 275 Let a(d) = -472*d + 16540. Calculate a(35). 20 Let l(p) = 752*p - 6099. Calculate l(8). -83 Let y(h) = -h**2 + 80*h + 436. Give y(-5). 11 Let m(i) = i**3 + 20*i**2 + 47*i + 29. What is m(-13)? 601 Let c(o) = o**3 + 21*o**2 + 39*o + 373. What is c(-20)? -7 Let h(q) = -q**2 + 27*q - 158. Give h(9). 4 Let x(s) = -78*s - 1429. What is x(-18)? -25 Let r(n) = -9*n**2 - 8*n - 11. What is r(-2)? -31 Let p(s) = -112*s**2 - 29454*s + 526. What is p(-263)? 0 Let b(s) = 7*s**2 + 20*s - 8. Calculate b(0). -8 Let b(p) = -126*p - 97. Calculate b(2). -349 Let f(d) = -d**2 - 39*d + 13. Determine f(-31). 261 Let f(m) = -6*m**2 + 5*m + 256. Determine f(7). -3 Let j(f) = -2*f**2 + 117*f - 69. What is j(58)? -11 Let d(m) = -m**2 + 11*m - 5. Calculate d(7). 23 Let l(r) = 5*r**3 - 7*r**2 + 13*r - 68. What is l(4)? 192 Let i(o) = -o**2 + 8*o + 488. Calculate i(-18). 20 Let c(j) = 2*j**3 - 98*j**2 - 211*j. What is c(51)? -357 Let j(c) = -11*c - 159. What is j(-14)? -5 Let m(z) = -2*z**2 + 102*z - 688. What is m(44)? -72 Let m(b) = 168*b + 6890. Calculate m(-41). 2 Let p(j) = 407*j**3 - 6*j**2 - 8*j. Give p(-1). -405 Let a(s) = -s**3 - 44*s**2 + 195*s - 49. Determine a(-48). -193 Let l(q) = -60*q + 1145. What is l(19)? 5 Let r(a) = -84*a - 646. Determine r(-8). 26 Let r(s) = -39*s + 233. What is r(6)? -1 Let x(n) = n**2 - 17*n + 17. Calculate x(16). 1 Let s(j) = 12*j + 1080. What is s(-43)? 564 Let k(l) = 7*l**2 - 231*l + 452. What is k(31)? 18 Let r(a) = -3856*a + 46269. Calculate r(12). -3 Let d(b) = -9*b**2 - 877*b - 1220. Determine d(-96). 28 Let o(v) = v**3 - 49*v**2 - 51*v + 49. Determin
{ "pile_set_name": "DM Mathematics" }
t z = 8 - -8. Solve -4*t + 2*f = -z, a*t - 26 = -3*t + 4*f for t. 2 Let y = 53 - 48. Suppose -4*x = -y*x - 2. Let t = 11 - x. Solve q = -5*u - t, 5*u = q - 0*q - 7 for q. -3 Let u be 13546/156 + (-2)/(-12). Let n = u - 85. Suppose -n*t = -g - 2, t - 1 = 2*g - 0*t. Solve -5*c - 27 - 5 = -4*k, g = -5*c - 2*k - 14 for c. -4 Suppose -m - 34*i = -32*i + 1, 2 = m + i. Solve -m = k, 2*y + 2*k - 16 = 4*k for y. 3 Suppose -29*g = 18*g - 22513. Suppose 4*m + 431 - g = 0. Solve -4*z - 4*c + 29 = 9, -2*z - 4*c + m = 0 for z. 4 Let l(u) = -2*u**2 - 14*u + 8. Let p be l(-5). Suppose -p*d + 10*d = -270. Solve -5*s = -s + 5*r - 25, 0 = -s - 3*r + d for s. 0 Let c = -134 + 137. Let q be (2 - -2) + (-9 - -12) - c. Solve -3*f = -j - 7, -2*f + 16 = q*j + j for f. 3 Suppose -108 = 134*q - 58 - 720. Solve -111*r + 14 = -110*r + 4*z, -2*r + q*z = 24 for r. -2 Suppose -12 = c + r + 2*r, 2*c = 4*r - 44. Let x be (c/(-12))/(0 + 2/(-4)). Let u be (36/x)/(-4) + 22. Solve 2*i + u = -5*q + i, -2*q = i + 13 for q. -4 Suppose -4*w + 31 = 13*n - 10*n, 0 = -3*n + 4*w - 1. Solve 3*a = -3*u - 28 + 7, 27 = 3*u - n*a for u. -1 Suppose -5*m + 25 = -5*b, -5*m - b + 25 = 2*b. Suppose 0*i - 123 = -3*j - 3*i, 2*j - i = 79. Suppose -3*d + j = 28. Solve -f = d*k + 1, -3 - 2 = m*f for k. 0 Let o = -157 + 159. Suppose -5*s = -2*i - 6, o*s + 2 = -4*i + 7*s. Solve -5*r - i*c + 12 = -8, 0 = -2*r - 5*c + 29 for r. 2 Let x = 546 - 526. Solve 4*q + x = -4*v, -7*v = -4*v + 2*q + 15 for v. -5 Let q be 8 - ((-12)/22 + (-610)/(-110)). Suppose 2 = -5*w + 12. Solve 0 = c - q*u + 9 - w, -3*c = 5*u + 7 for c. -4 Let j = -156 - -459. Suppose 2*t = 5*t - j. Let k = -96 + t. Solve -5*w - 3*d + 5 = 0, -k*w + 15 = -3*d - 20 for w. 4 Let s(w) = 3*w**2 - 10*w - 11. Let h(v) = -v. Let q(b) = h(b) + s(b). Let u be q(-1). Solve 3*p + u*f = -4 + 19, 3*f = 2*p + 10 for p. 1 Let z be (-1)/(0 + (-2)/4). Let x(t) = -2*t**3 + 27*t**2 - 6*t - 11. Let r be x(13). Let f be r/24 - (-3)/36*-4. Solve 0*c - 7 = f*i + c, -z*i - 8 = 4*c for i. -2 Let y = 220 + -217. Let t(r) = 2*r**2 - 4*r + 9. Let n be t(y). Solve 0 = h - 5*u, -4*h + 0*h = -5*u + n for h. -5 Let k = -13 + 20. Suppose -33*t + 67 = -29*t + 3*m, 3*t + 2*m = 52. Solve -n + 2*u - 3 = 0, -5*n - k = 4*u + t for n. -5 Suppose 3*w + 2*l + 92 = -45, 0 = w + l + 46. Let g be w/(-30)*(-2)/(-2 - -1). Let t = 7 + g. Solve -2*p - t = -5*d, 3*d - 17 - 15 = -4*p for p. 5 Suppose 1066 = 16*d - 1622. Let s = d - 164. Solve -s*c + z = 11, -17 + 5 = -2*c + 4*z for c. -4 Suppose 1048*f + 90 = 1066*f. Let q = -3 - -9. Let j = 11 - q. Solve 0*z = j*z - f*g - 10, 4*g + 4 = 0 for z. 1 Suppose -5*w + 4*q = -30, 0 = w + q - 0*q + 3. Let d(t) = -235*t - 5167. Let p be d(-22). Solve 0 = -2*i + w, 3*r = -r - 3*i + p for r. 0 Let i be ((0/2)/22)/(-4 + 0). Solve -4*z - c - 11 = i, 0 = 3*z - 2*c - 0*c for z. -2 Let c(t) = -t**2 - 352*t - 3413. Let o be c(-10). Solve 1 = -a, -2 = -2*j + a - o for j. -3 Let s be 56/(-2)*(-123)/492. Solve 0 = -s*f + 6*f - 5*l - 12, 5*l = -10 for f. -2 Suppose 5*a = -5*o, 3*a + o + 0*o = 0. Suppose 8*p + 267 - 299 = a. Solve 2*f = 2*r, -2*f - 2*r + 20 = p for f. 4 Let v = 2992 + -2990. Solve -3*a = v*f + 25, 0 - 10 = 5*a - 3*f for a. -5 Suppose -g + 3*z - 22 = 0, 13*z = -5*g + 17*z - 22. Solve 5*v + 1 = 3*m - 2, -v = g*m + 11 for m. -4 Suppose 4*v - 2*p = 72, 4 = -2*v - 2*p - 2*p. Solve -16*w - 5*j - 14 = -v*w, -j = 5*w - 11 for w. 3 Let b = 496 + -476. Suppose -4*n - 5*v + 48 = -b, -64 = -5*n - v. Solve 4*j = 3*a + 5, -5*a + 2*j = -j + n for a. -3 Let v(h) = 3*h + 4. Let d be 4 + -1 + (-2 - 1). Let l be v(d). Solve -5*c = -l*g - 3, -5*c + 5 = -2*g - 4 for c. 3 Let m be 3/4*128/8 - 1. Suppose 0 = m*o + 160 - 193. Solve u + 14 = -u + 5*s, 3*s = 5*u - o for u. 3 Suppose -5*g + 63 = 48. Suppose 0 = 4*b + 4, 4*h - 108 = h + g*b. Solve 3*q - 4*k + h = -2*q, 5*q = -5*k + 10 for q. -3 Let r = -22 + 29. Let q = r - 42. Let l = -33 - q. Solve 3 + l = a + 2*w, -2*a - 35 = -5*w for a. -5 Let p be 8 + -1 + 3 + (-6 - -5)*-6. Solve 5*z + 22 = 2*t, 5*z = 11*t - p*t - 15 for t. 1 Suppose 5*w - 7*w - 210 = 0. Let b be ((-270)/w)/((-3)/(-14)). Suppose -2351*u - 12 = -2357*u. Solve 0 = 2*z - 3*o - 20, -u*z + o + b = -0*z for z. 4 Let p = -91 - -91. Suppose p = -27*b + 30*b. Suppose b = 6*w + w - 35. Solve -m + 6 = -w*l + 3*l, l - 7 = 3*m for l. -5 Let f(z) = 175*z + 181*z - 524*z + 169*z + 10. Let c be (-1 - -2)/((-1)/2). Let y be f(c). Solve -4*k - 8 = 4*a, 4*a - 4 - y = 0 for k. -5 Let d be (-105)/(-18)*-4*(-3)/5. Solve -4*j + d*h + 36 = 18*h, j - 4*h + 16 = 0 for j. 4 Let q(i) = -3*i - 4 - 3*i**2 - 7*i - 1 - 3. Let x be q(-3). Let n be (-2 - x/3)*(-5 - 16). Solve -5*k - 19 = j, -2*k = -0*j + j + n for k. -4 Let s = -409 - -411. Solve 3*o - 3 = b + s*o, -4*b - 12 = 3*o for b. -3 Suppose -50 = -3*v - 38. Suppose -2*z + 2*p = 2, -5*z + 8*z - v*p = -8. Let j be 3/(5 - 2) - -19. Solve -j = 4*a, 0*a + 9 = -z*m - a for m. -1 Let z(a) = 30*a - 21*a - 13 - 50 + 10. Let t be z(8). Solve -4*k + 4*o - 16 = 0, 6*o - 2*o - t = 5*k for k. -3 Let y be 0 - (-1)/2*(2 + 0). Suppose 5*b - 10 = -5*c, 3*c + 19 = 2*b - 0. Let n be 2/b - (-184)/40. Solve 2 = s + 2*q, n*q = -3*s - y + 4 for s. -4 Let f = 46 + -67. Let b = 23 + f. Suppose 41*h - 36*h - 3*v + 9 = 0, -4*h + 6 = 2*v. Solve h = 4*j - 16, -b*a + 2*j - 5 = 5 for a. -1 Suppose -8*q - 6 = -5*q, 30 = x - 5*q. Suppose x = -2*y + 4*y. Solve 3*b + 2*n = -1, b - 2*n = y + 3 for b. 3 Suppose 310*m + 60 = 330*m. Suppose 4 - 4 = 6*u. Solve u = m*x - 5*l - 1, 0 = x - 5*l - 7 for x. -3 Suppose -2*a - 359 = -u, -4*a + 1573 + 166 = 5*u. Let k = u + -349. Solve -5*w + 0 = 5, -k*v + 5 = 5*w for v. 5 Let o be (3 - 7020/28) + (-14)/49. Let z = 252 + o. Solve z*p = m, -2*m + 7 = 3*p - 4 for p. 1 Let n be (-1)/2*0/(-4). Suppose 145*c = 143*c - 48. Let p be 6/(c/(-20)) + 0. Solve n = -4*t + j - 15, -5*t - 26 = p*j + 24 for t. -5 Suppose 5*l + 2*d + 284 - 307 = 0, 5*l - 3*d = 3. Solve -5*o - 13 = w, -l*w + 3 = -4*o - 15 for w. 2 Suppose 0 = -11*n + 13*n - 2. Let k be (-7 - -6 - -1)*n. Solve k = 3*a + 2*u - 5, -4*a + 3*u - u = -2 for a. 1 Let g = 528 + -527. Let n be (21 - g)*(-10)/(-40). Suppose 3 = -l + 5*c, -4*c + 12 - 2 = 3*l. Solve r + 0*o - n = -2*o, -3*r - l*o - 5 = 0 for r. -5 Let n(l) = l**2 + 3*l - 7. Let y be n(2). Suppose -y*z = 4*w - 24, 20 = 2*z + 2*w + 2*w. Let r = z + -1. Solve 1 - 19 = r*v - t, -4*t = 4*v + 8 for v. -5 Let r(s) = -s - 20. Let m be r(29). Let l = 51 + m. Solve 4*d + g = 0, -3*d = l*d + g for d. 0 Suppose -4443 = 796*s - 799*s. Let d = s + -1479. Suppose 3*v - 24 = -0*v. Solve d*x + 4*z = 16, -x - 2*z + v = x for x. 0 Let f(d) = -14*d**2 - 34*d + 21. Let x(t) = 12*t**2 + 33*t - 19. Let c(h) = -5*f(h) - 6*x(h). Let g be c(-14). Solve a = -5*k - 31 + g, -3*k = 5*a for a. 3 Let z = 34 + -19. Let q be z/6*6/5. Suppose -1159 = 35*o - 1229. Solve q*k - 3*f + 7 = o*f, 6 = -2*k + 4*f for k. 1 Let r = -94051 - -94076. Let p be (-1)/2*(2 + -8). Suppose o + p*o = 12. Solve -o*b = -3*m + m + 15, 3*m = -5*b - r for m. 0 Suppose 3*t + 0*t = p - 2, -3*t - 2*p = 5. Let g be 20*11/44*(1 - t). Solve 4*y - g = -3*v, 2*v - 8 = -2*y - 2*y for v. 2 Let x = 8929 - 8922. Solve -7*g - 25 = -6*g - x*u, -2*g = -4*u + 10 for g. 3 Let t(u) = -3*u + 25. Let h be t(6). Let n = 38 + -31. Solve -s - 2*l = 5, -4*s - 2*l = -n*s - h for s. -3 Suppose -3*r + 5*y = -32, 2*y = 4*r - 0*y - 24. Suppose 16*g - 141 = -61. Solve g*l + 0*o - 15 = -2*o, -21 = -l - r*o for l. 1 Let f be (2 + -2)/(1 + 0). Let z = 20 + 20. Suppose -3 = 4*l - 3*q - 11, 4*l = -5*q + z. Solve 0 = 6*k - 3*k - 4*y - 5, f = -l*k + y - 20 for k. -5 Suppose -72*r - 28 = -88*r + 36. Solve 0 = 3*m - 5*i + 30, r*m - 5*i + i = -32 for m. -5 Let m = 212 - 207. Solve 2*s + 3 = 5*w + 7, 0 = -m*w - 4*s - 22 for w. -2 Suppose -5*z - 272 = 8. Let x be (-9)/24 + (-749)/z. Solve m + 7 = 2*w, w + x = -5*m - 0 for w. 2 Suppose -249 = 2*r - 255. Let p be 6/(2/(-5)*20/36). Let x be (-2 - 28/(-6))*p/(-18). Solve z - 7*w - 2 = -2*w, x = 2*z - r*w for z. 2 Suppose -30*k + 3*j - 25 = -31*k, -4*k - 20 = -3*j. Solve -7*v + 18 = o, 5*o + 8 = -2*v - k for o. -3 Suppose 24*h = 95*h - 497. Solve 2*c - 9 = -5*w, 0 = -5*c + h*w - 4*w + 7 for c. 2 Suppose 2*k = m - 204, 8 = m - 3*m. Let n be 6/4*k/(-39). Solve 8 = -3*d - 2*g - 3*g,
{ "pile_set_name": "DM Mathematics" }
299 + 12375 - 2*w - 3989. -2*w + 16685 Collect the terms in -99*v**2 + 2*v**3 + 26*v**2 - v**2 - 84*v**2. 2*v**3 - 158*v**2 Collect the terms in -85*m**3 + 426*m**3 - 82*m**3 - 89*m**3 - 84*m**3 - 84*m**3. 2*m**3 Collect the terms in 0*o - 1514991*o**2 + 3029972*o**2 + 4 - 4 - 1514983*o**2 + 0*o. -2*o**2 Collect the terms in 12582*g**2 + 17896*g**2 - 1 + 1. 30478*g**2 Collect the terms in 2 + 39*j**3 + 22*j**3 - 90*j**3 - 2 + 26*j**3. -3*j**3 Collect the terms in 7*k**2 + 21 - 11*k**2 + 11*k**2 - k**2 - 21. 6*k**2 Collect the terms in 137 + 12*j**2 - 139 + 19*j**2 - 20*j**2. 11*j**2 - 2 Collect the terms in -948612 + 948612 - 89*l**2. -89*l**2 Collect the terms in -595405*v + 1190817*v - 595406*v. 6*v Collect the terms in 27*z - 51*z - 66*z**2 + 24*z. -66*z**2 Collect the terms in 36191*w**3 - 18101*w**3 - 18092*w**3 - 3*w**2 + 3*w**2. -2*w**3 Collect the terms in -6 - 9*o + 8 + 12 - 12. -9*o + 2 Collect the terms in o - 25164 - o + 25164 - 32*o**2. -32*o**2 Collect the terms in -133*x - 226*x + 359*x + 18*x**3. 18*x**3 Collect the terms in 1186*x**3 + 1390*x**3 - 4030*x**3. -1454*x**3 Collect the terms in 13909*s**2 - 6956*s**2 - 6957*s**2. -4*s**2 Collect the terms in -35042*l**2 + 35042*l**2 + 486*l**3. 486*l**3 Collect the terms in -24*l + 354*l**3 + 58*l - 34*l. 354*l**3 Collect the terms in -68265227 - 24*y**2 + 68265227. -24*y**2 Collect the terms in -9*s + 19*s - 9*s - 2*s + 0*s + 79. -s + 79 Collect the terms in 64*z**2 + 61*z**2 - 323*z**2 + 68*z**2 + 66*z**2 + 61*z**2. -3*z**2 Collect the terms in 823*r**2 - 346*r**2 - 365*r**2 - 4*r. 112*r**2 - 4*r Collect the terms in 88*s**2 - 38*s**2 + 81*s**2 - 221*s**2 + 84*s**2. -6*s**2 Collect the terms in 1565*x**2 - 753*x**2 - 881*x**2. -69*x**2 Collect the terms in 318910*f**2 - 637846*f**2 + 318930*f**2. -6*f**2 Collect the terms in -2 + 61*i**3 - 4*i**2 - 3 + i**2. 61*i**3 - 3*i**2 - 5 Collect the terms in -5*b - 3*b - 9*b + 25*b. 8*b Collect the terms in -49*k + 9 + 218*k - 3 + 6. 169*k + 12 Collect the terms in 227*f + 2 - 1 + 2 - 213*f. 14*f + 3 Collect the terms in 2767*k - 1252*k - 1516*k. -k Collect the terms in -6 + 124*l**3 + 20 - 14 - 108*l**3. 16*l**3 Collect the terms in 1596*s**3 + 1603*s**3 + s**2 + 2 - 3201*s**3 - s**2. -2*s**3 + 2 Collect the terms in 102341*o - 102358*o + 1 - 1. -17*o Collect the terms in -349 + 508 + 542 + 8*l**3. 8*l**3 + 701 Collect the terms in 3343*o + 3351*o - 6713*o. -19*o Collect the terms in -411*s**2 - 27*s + 25*s + 2975*s**2. 2564*s**2 - 2*s Collect the terms in 6*g**3 + 402*g + 683*g - 1085*g. 6*g**3 Collect the terms in 115*s**2 - 31*s**2 - 39*s**2. 45*s**2 Collect the terms in 26227*v**3 - 2 + 2 - 26237*v**3. -10*v**3 Collect the terms in -11*i**3 + 7*i**2 - 7*i**2 + 12*i**3 + i**3. 2*i**3 Collect the terms in 6*q + 13*q + 7*q**3 + 16*q - 35*q. 7*q**3 Collect the terms in -156*w + 340*w - 165*w. 19*w Collect the terms in 3*c**2 + 11*c**2 - 8 - 2*c**2 - 9 + 13. 12*c**2 - 4 Collect the terms in 48 + 0*j + 37 + 48 - 138 - 2*j. -2*j - 5 Collect the terms in -637*f - 619*f - 2*f**3 + 1872*f - 616*f. -2*f**3 Collect the terms in -4*n - n + 37 - n + 7*n. n + 37 Collect the terms in 19355*b - 9682*b - 9674*b. -b Collect the terms in -570158 + 570158 + 18*x**2. 18*x**2 Collect the terms in -44*s**3 - 28*s**3 + 61*s**3. -11*s**3 Collect the terms in -11 - 33*z + 114*z + 11 - 666*z. -585*z Collect the terms in 898*m + 3 - 223*m**2 - 116*m - 3. -223*m**2 + 782*m Collect the terms in 47*v**2 + 1074*v - 2150*v + 1080*v. 47*v**2 + 4*v Collect the terms in 134*c**3 - 324*c**3 + 160*c**3. -30*c**3 Collect the terms in 0*k + 522682*k**3 - 522785*k**3 + 4*k. -103*k**3 + 4*k Collect the terms in -5*z + 10770 - 2*z - 10770. -7*z Collect the terms in 35*b - 9*b**2 - 35*b - 1 + 27*b**3. 27*b**3 - 9*b**2 - 1 Collect the terms in -3*f**2 - 99*f - 6*f**2 + 20*f**2 - 10*f**2. f**2 - 99*f Collect the terms in -287*s**2 + 844*s**2 - 277*s**2 - 274*s**2. 6*s**2 Collect the terms in -7 + 800*j - 404*j - 394*j - 2 + 7. 2*j - 2 Collect the terms in 21*n**2 - 20*n**2 - 124 + 2. n**2 - 122 Collect the terms in 2470*p - 2*p**2 - 1271*p - 1284*p. -2*p**2 - 85*p Collect the terms in 4*l - 175*l**3 + 7*l - 15*l + 3*l. -175*l**3 - l Collect the terms in -33*b**3 + 14*b**3 - 14*b**3. -33*b**3 Collect the terms in -15377644*z + 15377644*z - 8*z**2. -8*z**2 Collect the terms in 9 + 1 + 0 - 10 + 5*w**2. 5*w**2 Collect the terms in 835 + 2*x**3 + 826 + 845 - 2493. 2*x**3 + 13 Collect the terms in 45*k**2 + 159*k**3 - 45*k**2. 159*k**3 Collect the terms in 2*s + 6*s + 2*s + 0*s + 4*s. 14*s Collect the terms in 379*x + 395*x + 375*x + 378*x - 1526*x. x Collect the terms in 195*v + 195*v + 2 + 193*v - 579*v. 4*v + 2 Collect the terms in -34 + 14 + 4 + 14 - 1880*n. -1880*n - 2 Collect the terms in -38*z**2 + 80*z**3 - 70*z**3 + 38*z**2. 10*z**3 Collect the terms in -415985*f**2 + 415985*f**2 - 42*f**3 + 134*f**3. 92*f**3 Collect the terms in 270*y**3 + 553*y**3 + 272*y**3 - 521*y**3. 574*y**3 Collect the terms in -702*p**2 + 199*p**2 + 18 - 18. -503*p**2 Collect the terms in -5 + 6910*b**2 + 7 - 2. 6910*b**2 Collect the terms in 2 + 7*u**2 + 121*u**3 - u**2 - u - 2. 121*u**3 + 6*u**2 - u Collect the terms in 116*j - 116*j - 14177*j**3. -14177*j**3 Collect the terms in 36280 - 36280 + 104*f - 3*f. 101*f Collect the terms in -577788*s - 5 + 5 - 300323*s. -878111*s Collect the terms in 15*d + 12*d - 27*d + 1059*d**3. 1059*d**3 Collect the terms in 1394*x + 1162*x - 221*x - 334*x. 2001*x Collect the terms in 70739*o**2 - 70741*o**2 + 7 - 7. -2*o**2 Collect the terms in 140 - 140 + 137*y**3. 137*y**3 Collect the terms in -477*v**2 - 504*v**2 - 307*v**2 - 2. -1288*v**2 - 2 Collect the terms in -2*g + 275 + 363 - 638 - 2*g. -4*g Collect the terms in 39 - 41 + 18*z**3 + 45*z**3. 63*z**3 - 2 Collect the terms in 58*r - 55*r - 534*r**2 + 553*r**2 - 5 + 5. 19*r**2 + 3*r Collect the terms in -3*q**3 + 12*q**3 - 250*q + 250*q. 9*q**3 Collect the terms in 4912*m**2 - 1674*m**2 - 1672*m**2 - 1569*m**2. -3*m**2 Collect the terms in -4930*x**2 + 4924*x**2 - 37*x**3 - 37*x**3. -74*x**3 - 6*x**2 Collect the terms in -388*d**2 + 190*d**2 + 210*d**2. 12*d**2 Collect the terms in 46*x**2 + 36*x**2 + 380*x + 124*x + 371*x - 83*x**2. -x**2 + 875*x Collect the terms in -113 + 221 - 105 - 6*p**2 + p**2. -5*p**2 + 3 Collect the terms in -36 + 4098*b + 36. 4098*b Collect the terms in 7 + 1875*y**3 - 7. 1875*y**3 Collect the terms in 47 + 65 - 112 - 158*i**3. -158*i**3 Collect the terms in -19*f**2 - 6*f**2 + 32*f**2 - 8*f**2. -f**2 Collect the terms in 113324 + 111983 + 2*j**2 - 225307. 2*j**2 Collect the terms in 33*s + 19*s - 88*s + 19*s. -17*s Collect the terms in -5 + 306*o - 1 - 308*o. -2*o - 6 Collect the terms in 2 - 14*a**2 + 11*a**2 + 4*a**2 + 10 - 1. a**2 + 11 Collect the terms in -111*z**2 - 60*z**2 + 7763*z - 7765*z. -171*z**2 - 2*z Collect the terms in -32*x**2 + 85*x**2 + 83*x**2 - 130*x**2. 6*x**2 Collect the terms in 6815 - 6815 - 27*z - 165*z. -192*z Collect the terms in 2*t + 93 - 97 + 4*t - 8*t. -2*t - 4 Collect the terms in -381*l + 695*l - 336*l. -22*l Collect the terms in -16*x**3 - 31*x**3 + 6*x**3. -41*x**3 Collect the terms in 197 + 3*m**2 + 347 - 544. 3*m**2 Collect the terms in 58*x**3 - 79*x**3 - 47*x**3 - 107*x**3. -175*x**3 Collect the terms in 2666*w**3 + 2667*w**3 - 13336*w**3 + 2670*w**3 + 2665*w**3 + 2665*w**3. -3*w**3 Collect the terms in 202 + 13*p**3 + 243 + 6*p**3. 19*p**3 + 445 Collect the terms in 165 + 4*r - 5*r + 311 - 9*r. -10*r + 476 Collect the terms in 235*z**3 - 223*z**3 + 88*z - 180*z + 92*z. 12*z**3 Collect the terms in -4*l**2 + 174097329*l - 174097329*l. -4*l**2 Collect the terms in -99*b**2 + 567*b**2 - 101*b**2 + 817*b**2. 1184*b**2 Collect the terms in -24*n**2 + 2127 - 2127. -24*n**2 Collect the terms in 411*l**2 + 1 - 855*l**2 - 616*l**2. -1060*l**2 + 1 Collect the terms in -1 - 2 - 3227*p**3 + 3 + 1591*p**3 + 1634*p**3. -2*p**3 Collect the terms in -1336*z + 7*z**3 + 2667*z - 1331*z + 10*z**3. 17*z**3 Collect the terms in -3757*q - 6402*q + 125*q. -10034*q Collect the terms in -11*l**3 + 5242370*l - 5242370*l. -11*l**3 Collect the terms in 19*b - 103*b + 21*b - 8*b**3 + 61*b. -8*b**3 - 2*b Collect the terms in 52*h - 248*h + 48*h + 50*h + 41*h + 52*h. -5*
{ "pile_set_name": "DM Mathematics" }
)*(-1157 - 991 + 1555)*(-b + 4 - 4) to g + z*b and give z. 2372 Rearrange 374*m + 8 + 10 + 348*m - 18 to the form n + r*m and give r. 722 Express (-6 + 1 + 0)*(9 - 37 - 7)*(6 + 5*p - 6)*(4 + 1 - 3) as f + v*p and give f. 0 Rearrange (-n - 2 + 2)*(3*n + 3 - 3) + (238*n - 238*n - 11*n**2 + 4)*(4 - 4 + 1) to s*n + a*n**2 + l and give a. -14 Rearrange -45094*t**4 + 1 + 2*t**2 + 0*t**3 + t**3 + 45092*t**4 + 30*t - t**2 to the form c*t + f*t**4 + u*t**3 + q*t**2 + k and give f. -2 Rearrange -2 + 29*u + 68*u - 15*u to f*u + d and give d. -2 Express 29 + 216*c - 431*c + 218*c + 20 as i + z*c and give i. 49 Express (-5*x**3 + 0*x**3 + 4*x**3)*(1 - 2*x - 1) + 4 - 15 - 2*x**3 - x**4 + 5*x**3 in the form k + z*x + c*x**3 + r*x**4 + b*x**2 and give k. -11 Rearrange -35 - s + 14 + 9 + 23*s**4 + 14*s**4 + 13 to the form v*s**2 + i*s**3 + a*s + t*s**4 + n and give i. 0 Express c - 7561*c**3 + 7562*c**3 - 2 - 13*c**2 + c - c**4 in the form g*c**4 + z*c**3 + i*c + q*c**2 + n and give g. -1 Express 0*s + 4 - 3*s - 3*s as i*s + g and give g. 4 Rearrange -188*m**2 - 419*m**2 + 79*m**2 to i*m + s + k*m**2 and give i. 0 Rearrange (9238*q - 3 - 9238*q + 327*q**2)*(4 - 3 + 0) to t*q + g*q**2 + a and give t. 0 Express -x**3 - 3*x**3 + 2*x**3 + (x + 2*x + 0*x)*((-4 - 3 + 4)*(0*x**2 + x**2 + 2*x**2) + x**2 - x**2 - x**2) as w + j*x**3 + k*x + v*x**2 and give j. -32 Rearrange (-w**2 - 3*w**2 + 2*w**2)*(-1 + 5 + 0 + (-7 + 1 + 0)*(3 + 0 - 4)) to f*w + p + k*w**2 and give k. -20 Express (-3 + 2 - 1)*(-2172 + 924 - 82)*(0 + 0 + 2*g) as p*g + v and give p. 5320 Rearrange v + 2494*v**4 + 31*v**3 - 1247*v**4 - 1250*v**4 - 2*v**2 to h*v**2 + o*v + a*v**3 + j*v**4 + b and give h. -2 Express (f - f - 2*f)*(-7*f**2 + 21*f - 17*f + 6*f**2) in the form m + k*f + u*f**2 + l*f**3 and give u. -8 Express (1969 + 2108 - 1637)*(3*c**2 - 5 + 5 - 2*c**4) in the form f + d*c + l*c**4 + j*c**2 + h*c**3 and give l. -4880 Express (10 + 1 - 4)*(q - 2*q + 3*q)*(1074 + 93*q**2 - 1074) in the form x*q + z*q**2 + o + b*q**3 and give b. 1302 Express (-4*w + 0*w + 5*w)*(9132 + 3*w + 5*w - 9130) in the form q + r*w + g*w**2 and give g. 8 Rearrange (-r - r + 4*r)*(-22*r + 9*r + 2 + 9*r)*((3*r - 6*r + 2*r)*(4 - 5 + 2) - 2 + 2 - 2*r) to w*r**2 + v*r**3 + l + t*r and give v. 24 Express (3*u - 3*u - 6*u)*(-954 - 814 + 182 - 126 + 246) in the form s + a*u and give a. 8796 Express 188988 - 188988 + 2090*l as i + d*l and give d. 2090 Rearrange (0*v + 0*v - v)*(-1 + 1 - 3)*(2 - 2 + 2)*(0*v + 0*v - v)*(-64*v + 17*v - 36*v) to the form d + a*v + k*v**2 + b*v**3 and give b. 498 Express (0 + 0 + v**2)*(-73 - 10 - 31) + (3*v**2 + 3*v**2 - 5*v**2)*(-2 - 3 + 3) as f + r*v**2 + b*v and give r. -116 Express 6 - 6*v - 58635*v**2 + 58635*v**2 + 3*v**3 as b*v + p*v**3 + c + t*v**2 and give b. -6 Express 3 - 2*h**4 + 111*h**3 + 3*h**4 - 57*h**3 - 55*h**3 - 2*h in the form r*h**2 + i + a*h**4 + j*h + m*h**3 and give i. 3 Rearrange (-35*a + 23 - 23)*(0 + 3 - 4)*(-6*a**2 + 3*a**2 + 0*a**2) to x*a**3 + h + z*a + q*a**2 and give x. -105 Rearrange 19 - 15 - 776*q**2 - 4 to the form s*q**2 + c + m*q and give s. -776 Express c**2 + 3*c**3 - 20*c**2 + 0*c**3 - 20*c**2 - 22*c**2 as o*c**2 + x*c + a*c**3 + r and give a. 3 Express -4 + 18 - 12 - 10*o + 7*o - 3*o**4 - 5*o**2 as u*o**4 + i*o**2 + f*o**3 + r*o + v and give i. -5 Rearrange -4*o + o - 54*o**4 - 5*o**2 + 47 - 20 - 7 - 19 - 2*o**3 to n*o + h + m*o**3 + v*o**2 + x*o**4 and give m. -2 Rearrange -8*o**3 - 11*o**3 - 15*o**3 + (-5*o**2 - 3*o**2 + 3*o**2)*(3*o - 3*o + o) to g + v*o**2 + m*o**3 + k*o and give m. -39 Express 3568*j - 3568*j + 9 + 9*j**2 as n*j + i + f*j**2 and give i. 9 Express -2*m + 16 - 13 - 129*m**2 + 125*m**2 as k + t*m + f*m**2 and give f. -4 Express -187 + 379 + 2042*s - 313*s - 192 as o*s + j and give o. 1729 Rearrange -326*f + 91*f - 346*f to the form v + h*f and give h. -581 Express 45*t**2 - 7*t**2 + 43*t**2 in the form h*t + i + c*t**2 and give c. 81 Express -1636*p + 1636*p - 1 - 11*p**3 as o + r*p + q*p**2 + b*p**3 and give q. 0 Express 198*x - 14*x - 30*x + 76*x in the form a*x + q and give a. 230 Rearrange 56 + 52 + 50 + 180*r - 157 to o + w*r and give w. 180 Express 2*f - 80*f - 142*f - 4*f in the form v*f + s and give v. -224 Rearrange 3 + 824*u + 1 - 9 + 5 to l*u + c and give l. 824 Express 2*y**2 + 94 - 7*y + 6*y + y**4 + 4*y - 5*y as w*y**4 + b + u*y**2 + c*y + d*y**3 and give b. 94 Rearrange 41*b - 1 + 56*b - 27*b - 6*b + 2 to the form k + s*b and give k. 1 Express 3*j + 3*j - 8*j + 11*j - 2 - 8*j + 158*j**2 as z + b*j + l*j**2 and give l. 158 Express 2*b**2 + 2*b**2 + 2 - 2*b - 3 + 0*b**2 - 2*b**2 as a + j*b**2 + w*b and give a. -1 Rearrange (2*a + 5 - 5)*(-2*a**3 + 1 - 1) + 8 - 691*a + 2*a**2 + 78*a**4 - 6 + 679*a to the form u*a**2 + w*a**3 + b*a + s*a**4 + o and give b. -12 Express -179*i - 84*i + 122*i in the form x + j*i and give j. -141 Express 0 + 28*g**2 - 25*g**2 - 12*g**2 + 4*g**3 + 2 in the form j + c*g**2 + k*g**3 + v*g and give v. 0 Express 15*g + 2497*g**2 - 2492*g**2 + 15*g + 3*g**3 as h*g**3 + i + b*g + q*g**2 and give q. 5 Express 43*k**3 + 20*k**3 - 81*k**2 + 1 - 64*k**3 as l + p*k + d*k**3 + t*k**2 and give t. -81 Rearrange -99*w**2 + 101*w**2 + 3*w**3 + 5 + 4*w - 1 to f + a*w + b*w**2 + n*w**3 and give b. 2 Rearrange -203*b**2 + 0*b + 202*b**2 + 0*b - b + 7*b**3 + 3*b + 11 - b**4 to h*b**4 + y*b**3 + j*b + w + r*b**2 and give r. -1 Express 111*q**2 - 109882*q - 21*q**2 + 109885*q - 2*q**3 + 2 as k*q + n*q**3 + u + m*q**2 and give k. 3 Rearrange 9 + 19*o**2 - 2 + 65*o**2 - 7 to the form m + b*o + y*o**2 and give y. 84 Express -96*o - 4 + 9 - 5 in the form k*o + g and give k. -96 Rearrange (-2*d - d - 4*d)*(-20 - 20 + 28) to h + i*d and give i. 84 Rearrange -3 + 1 + 48000*k - 47997*k + 2*k**4 - 21*k**3 to the form u*k**4 + j*k**2 + a*k**3 + y*k + o and give u. 2 Rearrange -11*k**2 - k**4 - 2*k**4 + 2182 - 2183 + k - 4*k**4 to l*k + g*k**2 + m + t*k**4 + s*k**3 and give m. -1 Express (b - 3*b + 3*b)*(-8*b**2 - 6*b**2 + 118 - 115) as p*b**2 + i + x*b**3 + k*b and give x. -14 Rearrange (-3*z + z + 4*z)*(-3 + 19*z + 3) + 2*z**2 + 3*z**2 - z**2 - 4*z**2 + z**2 + 2*z**2 to f*z + h + p*z**2 and give p. 41 Rearrange (0 + 0 - w**3)*(-998 - 2468 + 258 + 130) to y + q*w + u*w**3 + h*w**2 and give u. 3078 Rearrange 4 - 18*y + 112*y - 4 to the form b*y + z and give b. 94 Rearrange (1 - 5 + 2)*(4 - 4 + 5)*(2 - 6 + 3)*(19*y + 2*y + 13*y) to the form d + a*y and give a. 340 Rearrange 465*c + 716*c - 840*c to f*c + z and give f. 341 Rearrange 9 - 25 + 16 + 14*s to g*s + p and give g. 14 Rearrange 28*n - 1 - 254*n**2 + 0 + 127*n**2 + 125*n**2 to w*n + r + l*n**2 and give r. -1 Rearrange 156*c + 147*c - 2*c + 139*c to a*c + q and give a. 440 Express (-2*h**2 + 3*h**2 - 5*h**2)*(0 - 2 + 3)*(-1 - 2 + 2 + (7 - 3 + 2)*(-3 + 3 - 4)) as c*h**2 + t*h + y and give c. 100 Express 526*t**2 - 138*t**2 - 164*t**2 as l + c*t + r*t**2 and give r. 224 Express (4 + 3*i - 4)*(0 + 0 - 4)*(-2 + 2 - 1) as c + h*i and give h. 12 Express -20 + 3*r**2 + 0*r**2 + 10*r + 15 + 4 - 10*r**3 in the form n*r**3 + l + x*r**2 + g*r and give x. 3 Express -46*t**2 + 45*t**2 + t - 1 - t**3 - 5 as h*t**2 + n*t**3 + q + p*t and give q. -6 Express -13*q**2 - 3 + 3 - 10*q**2 - 2*q as t*q + d + s*q**2 and give t. -2 Express -642 + 688 + 3*b - 2*b**3 + 3*b**3 + 0*b**3 in the form n*b**3 + z + y*b**2 + s*b and give n. 1 Express -74*a - 90*a**3 + 73*a - 40*a**3 as x*a + y*a**3 + w*a**2 + j and give y. -130 Express -732*o + 178*o - 732*o in the form l*o + x and give l. -1286 Express 16*u**3 - 16*u**3 + 10 - 10 + 3131*u**4 + (u - u + 2*u)*(-5*u**2 + 5*u**2 + u**3) as r*u**4 + b*u + d*u**3 + m + a*u**2 and give r. 3133 Rearrange -177841 + 177841 - 2*g**2 - 1486*g to the form i*g + s*g**2 + t and give i. -1486 Rearrange -562*c + 110870 - 110870 to the form p*c + o and give p. -562 Express -10*w + 19*w + 13*w + (-2*w - 4*w + 5*w)*(3 + 2 - 3) + 113 - 2*w - 113 as v*w + j and give v. 18 Rearrange 3 + 19758*m + 2 - 19772*m to w + p*m and give p. -14 Rearrange -z**4 - 3*z**3 + 3*z**3 + (-7*z + 1 - 1)*(0*z**3 + 4*z**3 - 5*z**3) - z**4 - 9*z**2 + 9*z**2 to c*z**2 + t*z**4 + v + j*z**3 + l*z and give t. 5 Express -22*a**3 - 14*a**3 - 15*a**3 - 278*a + 2*a**2 - 15*a**3 + 67*a**3 in the form q*a**3
{ "pile_set_name": "DM Mathematics" }
, 3463 What are the prime factors of 4353866? 2, 11, 73, 2711 List the prime factors of 21547831. 1637, 13163 What are the prime factors of 1040447? 1040447 What are the prime factors of 6711022? 2, 17, 197383 What are the prime factors of 892553? 892553 What are the prime factors of 325237? 11, 29567 List the prime factors of 732942. 2, 3, 7, 277 List the prime factors of 580931. 13, 44687 List the prime factors of 7324425. 3, 5, 3617 List the prime factors of 3843171. 3, 167, 2557 List the prime factors of 461778. 2, 3, 76963 List the prime factors of 358294. 2, 23, 7789 List the prime factors of 16228. 2, 4057 List the prime factors of 677837. 71, 9547 What are the prime factors of 1627793? 1627793 List the prime factors of 353540. 2, 5, 11, 1607 List the prime factors of 7790250. 2, 3, 5, 13, 17, 47 List the prime factors of 9534291. 3, 13, 151, 1619 List the prime factors of 13258069. 11, 181, 6659 What are the prime factors of 1483551? 3, 164839 What are the prime factors of 1541109? 3, 19, 1423 List the prime factors of 729512. 2, 7, 1861 List the prime factors of 227871. 3, 7, 3617 List the prime factors of 352228. 2, 173, 509 List the prime factors of 4635733. 4635733 What are the prime factors of 489656? 2, 97, 631 What are the prime factors of 19529693? 19529693 List the prime factors of 7578. 2, 3, 421 What are the prime factors of 6951251? 43, 139, 1163 What are the prime factors of 10133833? 10133833 What are the prime factors of 1224825? 3, 5, 7, 2333 List the prime factors of 128638. 2, 64319 List the prime factors of 3227949. 3, 59, 6079 List the prime factors of 1050788. 2, 262697 What are the prime factors of 9416635? 5, 73, 25799 List the prime factors of 1786773. 3, 601, 991 What are the prime factors of 345149? 7, 49307 List the prime factors of 5258. 2, 11, 239 What are the prime factors of 548483? 13, 31, 1361 List the prime factors of 2178354. 2, 3, 363059 What are the prime factors of 1890631? 1890631 What are the prime factors of 1787478? 2, 3, 7, 11, 53, 73 What are the prime factors of 13628151? 3, 73, 20743 List the prime factors of 40567016. 2, 7, 47, 15413 What are the prime factors of 2113790? 2, 5, 7, 30197 What are the prime factors of 2986422? 2, 3, 497737 List the prime factors of 1114774. 2, 353, 1579 List the prime factors of 2881011. 3, 7, 137191 What are the prime factors of 1006943? 7, 19, 67, 113 What are the prime factors of 575157? 3, 11, 29, 601 What are the prime factors of 642450? 2, 3, 5, 4283 What are the prime factors of 976918? 2, 488459 What are the prime factors of 494037? 3, 17, 3229 What are the prime factors of 39631? 39631 What are the prime factors of 17814279? 3, 7, 37, 101, 227 List the prime factors of 3811907. 11, 43, 8059 List the prime factors of 1930678. 2, 131, 7369 What are the prime factors of 1038703? 23, 45161 What are the prime factors of 2991434? 2, 1495717 List the prime factors of 14233518. 2, 3, 13, 4679 List the prime factors of 14490297. 3, 353, 4561 List the prime factors of 248169. 3, 82723 List the prime factors of 905383. 127, 7129 What are the prime factors of 5349675? 3, 5, 71329 What are the prime factors of 11952874? 2, 73, 81869 List the prime factors of 601670. 2, 5, 60167 What are the prime factors of 5462966? 2, 467, 5849 List the prime factors of 184477. 184477 List the prime factors of 4305093. 3, 13, 167, 661 What are the prime factors of 14789786? 2, 11, 547, 1229 List the prime factors of 8240931. 3, 915659 What are the prime factors of 1623700? 2, 5, 13, 1249 List the prime factors of 1859045. 5, 29, 12821 List the prime factors of 970640. 2, 5, 11, 1103 What are the prime factors of 268585? 5, 53717 List the prime factors of 5752062. 2, 3, 223, 1433 What are the prime factors of 1149613? 89, 12917 What are the prime factors of 7213214? 2, 23, 233, 673 What are the prime factors of 3909204? 2, 3, 13, 8353 What are the prime factors of 214864? 2, 13, 1033 What are the prime factors of 365445? 3, 5, 2707 What are the prime factors of 429706? 2, 214853 List the prime factors of 706454. 2, 7, 50461 What are the prime factors of 43055? 5, 79, 109 List the prime factors of 2542945. 5, 17, 29917 List the prime factors of 2217805. 5, 443561 List the prime factors of 483275. 5, 13, 1487 What are the prime factors of 10920389? 89, 122701 What are the prime factors of 4722302? 2, 13, 29, 6263 What are the prime factors of 3959614? 2, 1979807 What are the prime factors of 90088? 2, 11261 What are the prime factors of 1382442? 2, 3, 113, 2039 List the prime factors of 1763567. 13, 293, 463 List the prime factors of 95314. 2, 47657 List the prime factors of 1291612. 2, 7, 163, 283 What are the prime factors of 314588? 2, 31, 43, 59 What are the prime factors of 3430276? 2, 857569 What are the prime factors of 71409? 3, 13, 1831 What are the prime factors of 4124017? 103, 40039 List the prime factors of 478907. 11, 13, 17, 197 What are the prime factors of 96820? 2, 5, 47, 103 List the prime factors of 1238770. 2, 5, 13, 733 What are the prime factors of 1170578? 2, 585289 List the prime factors of 250223. 17, 41, 359 What are the prime factors of 293317? 137, 2141 What are the prime factors of 8031557? 8031557 List the prime factors of 222190. 2, 5, 17, 1307 What are the prime factors of 71853? 3, 43, 557 List the prime factors of 94875. 3, 5, 11, 23 List the prime factors of 598259. 43, 13913 List the prime factors of 138297. 3, 46099 What are the prime factors of 823783? 19, 191, 227 List the prime factors of 4476290. 2, 5, 7, 13, 4919 List the prime factors of 23735883. 3, 19, 416419 List the prime factors of 496112. 2, 101, 307 List the prime factors of 2666113. 1609, 1657 What are the prime factors of 63550? 2, 5, 31, 41 What are the prime factors of 266243? 443, 601 List the prime factors of 98891. 13, 7607 List the prime factors of 37917885. 3, 5, 821, 3079 What are the prime factors of 237945? 3, 5, 29, 547 List the prime factors of 144566. 2, 41, 43 What are the prime factors of 2458146? 2, 3, 409691 What are the prime factors of 31922289? 3, 7, 168901 List the prime factors of 6506674. 2, 43, 75659 List the prime factors of 23057. 23057 What are the prime factors of 33640? 2, 5, 29 What are the prime factors of 473275? 5, 11, 1721 What are the prime factors of 177550? 2, 5, 53, 67 What are the prime factors of 4833372? 2, 3, 17, 19, 29, 43 What are the prime factors of 346966? 2, 173483 List the prime factors of 4617284. 2, 7, 103, 1601 List the prime factors of 154856. 2, 13, 1489 What are the prime factors of 7927515? 3, 5, 113, 1559 What are the prime factors of 15177444? 2, 3, 1264787 List the prime factors of 905741. 587, 1543 List the prime factors of 7221405. 3, 5, 431, 1117 What are the prime factors of 454941? 3, 50549 What are the prime factors of 396790? 2, 5, 39679 List the prime factors of 8852616. 2, 3, 122953 List the prime factors of 305810. 2, 5, 53, 577 List the prime factors of 787576. 2, 17, 5791 List the prime factors of 3548841. 3, 1182947 What are the prime factors of 562582? 2, 281291 What are the prime factors of 4475287? 563, 7949 List the prime factors of 40146. 2, 3, 6691 What are the prime factors of 201859? 7, 28837 List the prime factors of 1468237. 101, 14537 What are the prime factors of 168815? 5, 19, 1777 List the prime factors of 207504. 2, 3, 11, 131 List the prime factors of 197565. 3, 5, 13171 List the prime factors of 434125. 5, 23, 151 List the prime factors of 1805182. 2, 902591 List the prime factors of 322249. 322249 List the prime factors of 1099896. 2, 3, 7, 6547 List the prime factors of 2114396. 2, 19, 43, 647 What are the prime factors of 389111? 389111 What are the prime factors of 8464200? 2, 3, 5, 14107 What are the prime factors of 4392276? 2, 3, 7, 52289 List the prime factors of 212369. 212369 List the prime factors of 355901. 7, 13, 3911 What are the prime factors of 37260352? 2, 577, 1009 What are the prime factors of 1041223? 1041223 List the prime factors of 8984699. 31, 41, 7069 List the prime factors of 4336852. 2, 13, 83401 List the prime factors of 455301. 3, 7, 11, 73 What are the prime factors of 483507? 3, 31, 1733 What are the prime factors of 1922873? 1922873 List the prime factors
{ "pile_set_name": "DM Mathematics" }
*c*(c**(-3/8)/c)/c) assuming c is positive. c**(929/120) Simplify (h/h**(-3))**(-10)/((h**1*h)/h)**(-2/65) assuming h is positive. h**(-2598/65) Simplify (s**(3/2)*s*s/(s*s*s**(-6)*s)*s*s**(-5)/s**(5/4))**(4/5) assuming s is positive. s Simplify (z*z**(-3))**4/(z**1/z)**(-37) assuming z is positive. z**(-8) Simplify (a/a**(-6/5)*a/(a/((((a**(-2/17)/a)/a)/a)/a*a)))/(a/((a**4/a)/a)*a**(-1/8)) assuming a is positive. a**(141/680) Simplify (p/(p**(-1)/p*p))/(p/(p*(p*p*p*(p*p**1)/p*p)/p))*((p/(p/(p/p**(-8))))/p)**(1/3) assuming p is positive. p**(26/3) Simplify (r**(1/4)*r**(2/93)*r)**(-2/17) assuming r is positive. r**(-473/3162) Simplify (m/(m*m**(-1/2)/m))/m*m**(-7/2)*m*m/(m*m**(1/28))*m/(m*m/(m*m/m**(1/5))) assuming m is positive. m**(-173/140) Simplify ((b/(b*b**0*b))**(-18)/((b/(b**(2/11)/b*b)*b)/b*b**(-1/2)*b))**(-34) assuming b is positive. b**(-6239/11) Simplify (z**(-13/2)/z)**14/(z**(-13))**(-8) assuming z is positive. z**(-209) Simplify (((c**(-7)*c)/c**(-9))/(c**(-1))**(-1/4))**(4/21) assuming c is positive. c**(11/21) Simplify (o**(1/17)/o*o*o**(-21)*o*o)/(o**(1/6))**(1/13) assuming o is positive. o**(-25133/1326) Simplify (h**(-3)/h*h)**(-2)*(h**0/h)/h*(h**(-3/7)/h)/h assuming h is positive. h**(11/7) Simplify ((k*((k*(k**(-1/8)*k)/k)/k)/k*k**(1/4)*k)/(k**(-8)/(k*k/(k*k**(-2/9)*k*k))))**(-14/11) assuming k is positive. k**(-4207/396) Simplify (f/(f*f**(8/7))*f/(f**(-2/43)*f)*(f**(-1))**(4/27))**(-10/3) assuming f is positive. f**(101140/24381) Simplify (t**(-16/5))**34/(t**(2/9)*t*t**(6/11)) assuming t is positive. t**(-54731/495) Simplify (r/r**(-23))/r**(1/21)*(r*r**9)**(-5) assuming r is positive. r**(-547/21) Simplify ((w/(w*w**(3/7)))/w*w)**(-32)*(w/w**(3/4))**(-10/11) assuming w is positive. w**(2077/154) Simplify ((z/z**8)/z**6)/((z*z/(z*z*(z*z**(-4))/z))/z*z*z**(-1/18)) assuming z is positive. z**(-305/18) Simplify (n*(n**(-8/9)/n)/n)/(n*(n*n**(2/23)*n)/n)*(n/n**(-1/6)*n)/(n/(n/n**(-39))) assuming n is positive. n**(15397/414) Simplify (s**11*s/(s/(s/(s*s**(1/5)/s))))/(s/(s*s**(-3/5)/s))**(-1/2) assuming s is positive. s**(63/5) Simplify (p*p**(2/3)*p)**(13/3)/(p**2*p*p*p/(p*(p/(p*p**(-2/5)))/p*p)) assuming p is positive. p**(358/45) Simplify (j*(j/(j*j*j**(-2)))/j*j*j*j**(-1/10)*(j*j**(3/4)/j)/(j*j*j*j**(2/13)*j))**37 assuming j is positive. j**(-4847/260) Simplify (l/l**(1/4))**(3/28)/(l**(-9)*l)**(-17) assuming l is positive. l**(-15223/112) Simplify ((z/(z**(2/11)/z))**(-2/107)*z**10/(z/z**(-3/10)))**(1/2) assuming z is positive. z**(101999/23540) Simplify (t**2)**(4/15)*(t*t/(t/((t*t**(-1/4))/t))*t)/t**2 assuming t is positive. t**(17/60) Simplify (m**(-5))**(-32)/(m/(m**(-12)*m)*m*m/m**(-11)) assuming m is positive. m**135 Simplify (((r**(3/5))**(5/8))**(-1/4))**6 assuming r is positive. r**(-9/16) Simplify (y**7*y*y*y/(y/(y*y*y*y/(y*y**4)*y))*y)/(y**(-2/15)/y*y/y**(7/2)) assuming y is positive. y**(409/30) Simplify (n**(15/4)*n*n)/(n*n*n/(n/n**(-3/13)*n))*(n/n**4)**(2/41) assuming n is positive. n**(10307/2132) Simplify (((r*(r*r/(r**(-33)/r))/r)/r)/r**(-8/5))/(r**(2/55)*r/(r/r**17)) assuming r is positive. r**(1076/55) Simplify ((z/(z**(-4)/z*z*z))/((z**(-4/5)/z)/z)*(z/(z*z**(-2/17)))/(z*z/(z**(1/3)*z)))**49 assuming z is positive. z**(78106/255) Simplify (i*i**(2/13)*i)**45/((i/(i/(i/(i**(-1/3)/i))))/i)**49 assuming i is positive. i**(1232/39) Simplify (((i*i**12*i)/((i/(i/i**(-5)))/i))**(-3))**(-1/7) assuming i is positive. i**(60/7) Simplify ((z*z**(4/3))/(z**(-3/11)/z)*(z/z**(-1/2)*z)**(-5))**(-19/2) assuming z is positive. z**(11153/132) Simplify ((p/p**1)**(-2/3)*((p*p/(p*p*p**(-5)))/p)/p**(1/5))**(-1/45) assuming p is positive. p**(-19/225) Simplify b**(1/5)/b*b**(2/5)*b**5/(b*b/(b**(-7)*b)) assuming b is positive. b**(-17/5) Simplify c**14*c**(-2/11)*(c*c**(-2/3))**(-15) assuming c is positive. c**(97/11) Simplify (((a*a**(2/3))/a**(1/7))/(a**5*a**(-1/5)))**24 assuming a is positive. a**(-2752/35) Simplify n**33/(n*n/(n*n**0*n))*n/(n/((n**(2/9)/n*n*n)/n))*n**(-2/39)*n assuming n is positive. n**(3998/117) Simplify (((b**(1/5)*b)/b*b/(b*b**5))**28)**22 assuming b is positive. b**(-14784/5) Simplify w*w*w**(-40)*(w/(w/(w**(7/8)*w)))/w*w*w*(w*w**(-14))/w*(w**19*w)/w assuming w is positive. w**(-241/8) Simplify ((p*p*p*p*p/p**(-2/3))**(-3)/(p/((p/p**(-2))/p*p)*p*p**(1/2)))**(-5/4) assuming p is positive. p**(165/8) Simplify s**15/s**(8/9)*(s**(3/2)/s)**(-1/2) assuming s is positive. s**(499/36) Simplify ((o**13*o)/o*o**(1/17))/(o**(2/15))**(1/3) assuming o is positive. o**(9956/765) Simplify ((l**17/l)**40)**(-41) assuming l is positive. l**(-26240) Simplify k**(-5)*k/(k/(k*k**(-5)*k*k))*k**(-1/22)*k/k**(1/5) assuming k is positive. k**(-687/110) Simplify b/(b/(b**(-21)*b)*b)*b*b*b*(b**(-4/7)/b*b)/b*((b**19/b)/b)/b**(-5) assuming b is positive. b**(17/7) Simplify ((d/(d*(d**(-4)*d)/d*d*d*d)*d)/d*d*d**(-6)*(((d/(d/(((d/(d*d**2*d))/d)/d))*d)/d*d)/d)**(-25))**(-26) assuming d is positive. d**(-3146) Simplify (y**(-1)/y*y*y)**(-27)/(y**1)**(5/7) assuming y is positive. y**(-5/7) Simplify (c**(-2)*c**(-37))/(c**(19/4))**(-29) assuming c is positive. c**(395/4) Simplify ((f**(-8)*f**8)**(-23/2))**(-2/11) assuming f is positive. 1 Simplify p*(p**28*p)/p*p**13*p*p/p**(-3)*p/p**(-5) assuming p is positive. p**53 Simplify (n*n/((n/n**(-2/13))/n*n*n)*n)**(-10/19)*(n/(n**(-3/11)*n)*n)**(-14) assuming n is positive. n**(-49622/2717) Simplify (b**3*b/(b*b**16))/(((b**(-2)*b)/b*b)/b**17) assuming b is positive. b**5 Simplify u**3/u**16*u**(-6/7)*(u**(-4/5)/u)/u assuming u is positive. u**(-583/35) Simplify (b**(-1/9))**37*((b/(b/(b/(((b/b**(-1))/b)/b))))/b)**(-6) assuming b is positive. b**(-37/9) Simplify ((g**(-7)*g**(-1/5)/g)/(g**(-9)/(g*g/(g**(3/8)/g*g*g))))**(2/41) assuming g is positive. g**(57/820) Simplify r**(-29)*r*r**7*r*(r*r*r**(-6)*r)**(14/11) assuming r is positive. r**(-262/11) Simplify (p*p**3/p*p)**(-41)/(p**(1/10)/p**(4/17)) assuming p is positive. p**(-27857/170) Simplify l**(-6/7)*l/((l**(2/35)*l)/l)*l**(-5/7)*l/(l*l/l**(-28)) assuming l is positive. l**(-1037/35) Simplify (r**(2/13))**(-23)/(((r/(r*(r*r*r*r/(r/r**0)*r)/r*r*r))/r*r)/(r*r*r**(10/7)/r*r*r)) assuming r is positive. r**(536/91) Simplify (l/l**(3/13)*l*l/(l*l**14*l))/(l**(-1/11)*l*(l/l**(-14))/l) assuming l is positive. l**(-4024/143) Simplify ((p/(p*p**(1/7)/p*p)*p)/p**(-1/8))/(p**3*p*p**9) assuming p is positive. p**(-673/56) Simplify (n**(1/7))**(-22)*n*n**(-2/9)*n**(-8/3)/n assuming n is positive. n**(-380/63) Simplify (w**(8/11)/(w*w**(-1/11)))**9 assuming w is positive. w**(-18/11) Simplify (u/(u*((u**(-17)*u)/u)/u*u*u))/(u**18/u)*((u*u/(u**(-17)/u))/u)/u**11 assuming u is positive. u**7 Simplify (u*u**(-5)*u**4*u*(u*u/(u**3*u*u*u))/u**(-2))**(-3/7) assuming u is positive. u**(3/7) Simplify (g**(-8)/g*g**(-2/3)*g)/(g/(g*g/(g**(2/5)/g)))**(-39) assuming g is positive. g**(-1066/15) Simplify (p**(-2/7)/p**(-7))/(p**19)**23 assuming p is positive. p**(-3012/7) Simplify (t/(t*(t**(25/3)/t)/t))/(t/(t/(t*t*t**(7/6)))*t)*(t/t**(8/3))**33 assuming t is positive. t**(-131/2) Simplify ((r/(r**5/r)*r)/r)**(-22/3)*r/(r/((r/r**(1/8))/r))*r**(-1/2) assuming r is positive. r**(171/8) Simplify (((y**(-20)*y)/y)/y**9)/(y**15/y)**(-2/19) assuming y is positive. y**(-523/19) Simplify (l**(2/9))**37*(l**2)**(3/35) assuming l is positive. l**(2644/315) Simplify ((f**(-5)*f**0/f*f)/(f**4*f*f**0))**45 assuming f is positive. f**(-450) Simplify (f**(-14/5)*((f/(f*f*f**(3/5)/f))/f*f)/f*f)/(f**(-15)*f*(f*(f*(f*f/f**(-11))/f)/f)/f) assuming f is positive. f**(-7/5) Simplify ((z**(4/3)/z)/z)/z**(-7)*(z**(-4/5))**(2/87) assuming z is positive. z**(2747/435) Simplify l**26/l*l*l**(-2/63)*(l**8*l)/l**(-17) assuming l is positive. l**(3274/63) Simplify (m**12/m**(-3/29))**(-11/9) assuming m is positive. m**(-429/29) Simplify f**(3/8)/(f/(f/(f/f**25*f*f)))*(f*f**9*f)**20 assuming f is positive. f**(1939/8) Simplify n**(-1/5)*n**(-2/69)*((n*n/(n**(-13)*n))/n)**29 assuming n is positive. n**(129986/345) Simplify (g**(-1/3)*g)**(-3/41)*g**(-17)/(g/g**(-16)) assuming g is positive. g**(-1396/41) Simplify i**3/i*i/i**(-1/25)*(i**1*i*i)**(-1/8) assuming i is positive. i**(533/200) Simplify ((((y/(y**(11/2)/y))/y)/y)/((y/(y*(y*y*(y*y*y/(y/((y*y*y**(-15))/y))*y*y)/y)/y))/y))/(
{ "pile_set_name": "DM Mathematics" }
the second derivative of 645813*b**5 - 10*b**4 + 568428253*b wrt b? 12916260*b**3 - 120*b**2 Find the third derivative of -1192*m**5*v - 5911*m**3*v**2 - 31*m**2*v**2 - 2*m**2*v + 32*m*v**2 + 4*m*v - 2*v**2 wrt m. -71520*m**2*v - 35466*v**2 What is the second derivative of 23*a**3*l**2 - a**3*l - 2*a**3 + 17*a**2*l**2 + 42*a**2*l + 543*a*l + 35*a + 150*l**2 + l wrt l? 46*a**3 + 34*a**2 + 300 What is the second derivative of 42708854*a**4 + 61574380*a? 512506248*a**2 Differentiate 1733305*g - 4689482. 1733305 Differentiate 5*h**2 - 3943889*h - 117557521 wrt h. 10*h - 3943889 Find the third derivative of 15*b*l**3*n - 3*b*l**3 + 3386*b*l**2*n + 3026*b*l*n - 7*b*n - 73165*l**3*n - 12*l**3 wrt l. 90*b*n - 18*b - 438990*n - 72 Find the second derivative of 8125424*v**3 - 486119*v - 13. 48752544*v What is the derivative of -9381189*w**3 + 3*w**2 - 4*w - 800649171 wrt w? -28143567*w**2 + 6*w - 4 What is the second derivative of 840933117*u**4 - 1678618*u + 1? 10091197404*u**2 What is the first derivative of -101*k**4 + 150*k**2 - 107*k - 21634417 wrt k? -404*k**3 + 300*k - 107 What is the second derivative of 782051*b**4 + 15*b**3 - 3*b + 15136183? 9384612*b**2 + 90*b What is the derivative of 88*d*u - 76334*d + 2276000*u wrt d? 88*u - 76334 What is the derivative of -45059495*d*f**3 - 12108616*f**3 wrt d? -45059495*f**3 What is the second derivative of -1083272543*b**2 - 4305*b - 101635 wrt b? -2166545086 Differentiate -51155520*k**2*w - 49*k**2 + 1058250*k wrt w. -51155520*k**2 Find the third derivative of m**2*n**4 + 4*m**2*n**2 + 40*m**2*n - 4*m*n**4 + 2*m*n**2 + 801*m - 23034*n**4 - 113*n**2 wrt n. 24*m**2*n - 96*m*n - 552816*n Find the third derivative of -2782*i**3*j**3 - 2*i**3*j**2 + i**2*j**2 + 5183546*i**2*j - 2*i**2 + 183*j**3 wrt j. -16692*i**3 + 1098 What is the second derivative of -185*g*u**3 - 2*g*u**2 - 174472852*g*u + 62*u**3 - 45*u**2 wrt u? -1110*g*u - 4*g + 372*u - 90 Find the third derivative of -266329840*a**3 - 2779*a**2 - 2*a - 6170 wrt a. -1597979040 What is the derivative of i**4 - 542*i**3 - 1600*i**2 - 14728013? 4*i**3 - 1626*i**2 - 3200*i Find the second derivative of -823244471*m**2 + 939967908*m. -1646488942 Find the third derivative of 98859*o**6 - 16*o**4 + 17124850*o**2. 11863080*o**3 - 384*o Find the third derivative of -5022*g**4 - 961*g**3 + 9341823*g**2. -120528*g - 5766 What is the derivative of 24793*c*s**2 - 261834628*c + 115*s**2 + 3*s wrt s? 49586*c*s + 230*s + 3 What is the derivative of -d*q*v - 6*d*q + 1618*d*s*v + 36*d*v - d + 1922*q*s*v - 2*q*v + 58*q - 2*v wrt s? 1618*d*v + 1922*q*v What is the derivative of -9537*i*v + 2106*i*z - 307*i + 2*v*z - 2*v + 438*z + 2 wrt z? 2106*i + 2*v + 438 What is the first derivative of -4303269*t - 3477574? -4303269 What is the second derivative of 16374090*t**2 + 23174059*t wrt t? 32748180 What is the second derivative of 36536243*c**2 + 149280346*c? 73072486 Find the first derivative of 586569349*i + 649304479. 586569349 What is the second derivative of -71519249*q**2 - 55361238*q wrt q? -143038498 What is the second derivative of -7697168*k**2 - 4169904*k wrt k? -15394336 Differentiate -m*w**3 + 29859*m*w**2 + 47*m*w + 8*w**3 + 4513102 with respect to m. -w**3 + 29859*w**2 + 47*w What is the third derivative of -35895198*v**3 + 22733*v**2 - 606 wrt v? -215371188 What is the first derivative of 16121542*y**2 - 15007731 wrt y? 32243084*y Find the second derivative of -1311935824*o**4 - 322974144*o + 2. -15743229888*o**2 What is the second derivative of -2411*w**4 - 79852*w**3 + w - 152170318? -28932*w**2 - 479112*w What is the third derivative of 14*b**4 - 384970*b**3 - 4*b**2 - 4275889*b? 336*b - 2309820 Differentiate -11560182*p + 8415085 wrt p. -11560182 Find the second derivative of 2*g**3 - 195460971*g**2 - 240043342*g wrt g. 12*g - 390921942 Differentiate 3*d**3*r + 272*d**3 + 629*d*r**3 + 21843*r**3 - 152*r**2 wrt d. 9*d**2*r + 816*d**2 + 629*r**3 What is the second derivative of -1840*l**4 + 2211*l**3 - 6*l**2 + 79*l - 304696? -22080*l**2 + 13266*l - 12 Find the second derivative of 5*a*w**3 - 29758*a*w**2 + 59*a*w - 2596*a - 7*w**3 + 13*w wrt w. 30*a*w - 59516*a - 42*w Find the third derivative of -549956721*x**4*z - 2*x**2*z - 2*x**2 + 4784*x - 5*z - 4 wrt x. -13198961304*x*z What is the third derivative of -335191*v**5 - 42412*v**2 - 154*v wrt v? -20111460*v**2 What is the first derivative of -r**2 + 5114450*r - 8472824 wrt r? -2*r + 5114450 What is the first derivative of 89573*d**2*g*z + d**2 - 47*d*g*z + 11*g*z - 3*g - 66472*z + 3 wrt d? 179146*d*g*z + 2*d - 47*g*z Find the second derivative of -2*f**3*s**2 - 3*f**2*s*y - 1801289*f**2*y - 22*f*s**2 - f*y - s**2*y + 341*s**2 - 6*s*y + 2*y - 13 wrt f. -12*f*s**2 - 6*s*y - 3602578*y Find the second derivative of 899*y**5 + 71819*y**3 + 689*y - 10125 wrt y. 17980*y**3 + 430914*y What is the third derivative of 125125795*s**3*z**3 - 2*s**3*z + 3*s**2*z**2 - 444*s**2*z - 217*s*z**2 + 2*s*z + 3 wrt z? 750754770*s**3 Find the second derivative of 3835721*s**2 - 4177142*s wrt s. 7671442 What is the third derivative of 431*a**5 + 164853*a**4 + 9450*a**2 - 5*a + 367 wrt a? 25860*a**2 + 3956472*a Find the first derivative of 3823002*s*y + 3746722*y wrt s. 3823002*y What is the third derivative of -72671484*q**3*y + 25492215*q**2*y - 2*q wrt q? -436028904*y What is the second derivative of -98218*x**4 + 25*x**2 + 68090*x + 185? -1178616*x**2 + 50 Find the second derivative of 1170385198*w**2 - 11124*w - 36888. 2340770396 Find the second derivative of -2269427*k**2 + 13315894*k. -4538854 Find the second derivative of -17318*d*i**3*m - 6*d*i*m + 2*d*i - 3*d*m + 292*i**4*m - 3*i*m + 429*i - 39*m wrt i. -103908*d*i*m + 3504*i**2*m Find the third derivative of c**2*v**3 + 26*c**2*v**2 - c**2*v - 17*c*v**3 + 27318*c - 2357514*v**3 wrt v. 6*c**2 - 102*c - 14145084 What is the first derivative of v**4 - 378*v**3 - 3602*v**2 - 13049647? 4*v**3 - 1134*v**2 - 7204*v Find the second derivative of 289449640*t**3 + 7445200*t + 13. 1736697840*t What is the second derivative of -173748*s**3*y**5 + 15*s**3*y - 64293*s**3 + 9*s*y - 30*y**5 wrt y? -3474960*s**3*y**3 - 600*y**3 Find the second derivative of v*x**5 + 2221*v*x + 6*v - 31318780*x**5 + 337*x - 2 wrt x. 20*v*x**3 - 626375600*x**3 What is the third derivative of 116532*f**5*g + 21*f**3*g**3 + 41*f**2*g**3 - 393*f**2*g**2 + 48*f**2 wrt f? 6991920*f**2*g + 126*g**3 What is the first derivative of -41788598*h*t - 146526648*h + t wrt t? -41788598*h + 1 What is the second derivative of 91755977*b**2 - 1241185*b - 1? 183511954 Find the second derivative of 17518*g**3*x - 4*g**3 - g**2*x + 5*g**2 - 4088*g*x - 1392*g wrt g. 105108*g*x - 24*g - 2*x + 10 Find the second derivative of -40517*t**5 - 2960*t**4 + 225254747*t + 4 wrt t. -810340*t**3 - 35520*t**2 Find the third derivative of -77953*h**2*s**3 - 1166823*h**2*s**2 - h**2 + 67*s**3 wrt s. -467718*h**2 + 402 Find the third derivative of -5*q*t*x**3 + 962*q*t*x**2 + q*x**3 - 8*q*x**2 + 2*q*x - 14*t*x**3 - 2*t*x**2 + 10110*x**3 - 3*x**2 wrt x. -30*q*t + 6*q - 84*t + 60660 What is the first derivative of 1617*q*w**2 - 21*q*w - 593358265*q + 59*w**2 - w wrt w? 3234*q*w - 21*q + 118*w - 1 What is the third derivative of -69664492*m**3 - 168743*m**2 + 120*m? -417986952 Find the third derivative of -11885135*z**4 + 8*z**3 - 2462084*z**2 - 7 wrt z. -285243240*z + 48 Find the second derivative of -84*c**2*s**2 - 13684*c**2 + 138502*s**2 - 736*s wrt s. -168*c**2 + 277004 What is the third derivative of -8*g**6 - 2898820*g**5 - 308336*g**2 - 34*g - 2 wrt g? -960*g**3 - 173929200*g**2 What is the third derivative of 188*q**5 + 8686*q**4 - 1300631*q**2 - 4? 11280*q**2 + 208464*q What is the second derivative of -107229*v**4*z + 112*v**2*z - 2*v*z + 27*v - 2189*z + 46 wrt v? -1286748*v**2*z + 224*z What is the second derivative of -29926*g**5 - 19091*g**3 + 487672205*g? -598520*g**3 - 114546*g What is the second derivative of -41969*d**5 + 14*d**4 + 3*d**3 - 180847074*d? -839380*d**3 + 168*d**2 + 18*d What is the second derivative of -7*d*s**2 + d*s - 2*d + 140913*s**3 - 6*s - 20586 wrt s? -14*d + 845478*s Find the second derivative of -152*d**5 - 2599*d**3 + 3570058*d wrt d. -3040*d**3 - 15594*d What is the third derivative of 14*j**2
{ "pile_set_name": "DM Mathematics" }
o one dp? -5.7 Round -7538000 to the nearest one million. -8000000 What is -4.24 rounded to 1 decimal place? -4.2 What is -2782000 rounded to the nearest 1000000? -3000000 Round 757.8 to the nearest one hundred. 800 Round 1999.6 to the nearest ten. 2000 What is 0.0016274 rounded to 4 dps? 0.0016 What is 23000 rounded to the nearest one thousand? 23000 What is -0.0000086245 rounded to 7 decimal places? -0.0000086 Round 0.0000103564 to 6 dps. 0.00001 What is 3.397 rounded to 2 dps? 3.4 Round -738600 to the nearest one hundred thousand. -700000 What is 6729000 rounded to the nearest 1000000? 7000000 Round 64.733 to the nearest 10. 60 Round 0.00041415 to 5 decimal places. 0.00041 Round 1.15889 to 2 decimal places. 1.16 Round -0.03473 to three decimal places. -0.035 What is -0.02306 rounded to 3 decimal places? -0.023 Round -1360000 to the nearest one hundred thousand. -1400000 What is 0.000010765 rounded to six dps? 0.000011 What is 516.2 rounded to the nearest one hundred? 500 What is 0.00001767 rounded to 5 dps? 0.00002 Round 0.00000026056 to seven dps. 0.0000003 Round 65919600 to the nearest one million. 66000000 What is -1.136 rounded to 1 decimal place? -1.1 Round 1405.14 to the nearest one hundred. 1400 Round -11.344 to zero decimal places. -11 Round -59720 to the nearest 10000. -60000 What is 14.29 rounded to zero dps? 14 What is -90990 rounded to the nearest 10000? -90000 Round -0.4854 to one decimal place. -0.5 Round -11.43 to zero dps. -11 What is 3146.3 rounded to the nearest ten? 3150 What is 110630 rounded to the nearest 100000? 100000 What is 1324.6 rounded to the nearest one hundred? 1300 Round -0.037 to two decimal places. -0.04 What is -30.35 rounded to the nearest 10? -30 Round 359050 to the nearest 10000. 360000 What is 212.93 rounded to the nearest one hundred? 200 Round 58465 to the nearest one thousand. 58000 Round -0.00000097 to five decimal places. 0 Round 0.000001261 to 6 dps. 0.000001 Round 23790 to the nearest one thousand. 24000 What is 10.7 rounded to the nearest ten? 10 Round -166.38 to the nearest ten. -170 Round 501.6 to the nearest ten. 500 What is 0.15873 rounded to 2 decimal places? 0.16 Round 0.0011845 to five decimal places. 0.00118 Round 286.7 to the nearest ten. 290 What is -0.000000231 rounded to 7 dps? -0.0000002 What is -0.009677 rounded to 4 decimal places? -0.0097 What is 27600 rounded to the nearest 1000? 28000 Round 3.568 to the nearest 10. 0 What is 10750000 rounded to the nearest 1000000? 11000000 Round -0.6078 to one decimal place. -0.6 Round 0.0024184 to 4 dps. 0.0024 What is 157.4 rounded to the nearest integer? 157 Round 174310 to the nearest one hundred thousand. 200000 Round -0.000005802 to seven decimal places. -0.0000058 Round 0.00013779 to 6 decimal places. 0.000138 What is 4425 rounded to the nearest ten? 4430 Round -685300 to the nearest one hundred thousand. -700000 Round 1373000 to the nearest 10000. 1370000 What is -0.804 rounded to one dp? -0.8 Round 82210 to the nearest one thousand. 82000 Round -1.276 to zero dps. -1 Round -3769400 to the nearest one million. -4000000 Round 5100000 to the nearest 100000. 5100000 Round -0.0744 to 2 decimal places. -0.07 What is 3420.8 rounded to the nearest 10? 3420 Round 0.0013372 to four dps. 0.0013 What is -52920000 rounded to the nearest 1000000? -53000000 What is 0.18016 rounded to one decimal place? 0.2 Round -610.7 to the nearest ten. -610 Round 79.639 to the nearest 10. 80 What is -6810300 rounded to the nearest one hundred thousand? -6800000 What is 0.003906 rounded to three decimal places? 0.004 What is 93.268 rounded to the nearest 10? 90 Round 0.011827 to 3 decimal places. 0.012 What is 23631 rounded to the nearest one hundred? 23600 What is -0.0000005928 rounded to 7 dps? -0.0000006 Round 130.51 to zero dps. 131 What is 1.5283 rounded to 0 decimal places? 2 Round -0.00000362 to 6 dps. -0.000004 Round 676190 to the nearest 1000. 676000 What is -0.0006113 rounded to 5 dps? -0.00061 What is 0.000009606 rounded to seven dps? 0.0000096 What is 123.66 rounded to the nearest 10? 120 What is -106200000 rounded to the nearest one million? -106000000 What is 8126.04 rounded to the nearest 10? 8130 Round 3280000 to the nearest one hundred thousand. 3300000 Round 0.03053 to 2 dps. 0.03 Round -5530 to the nearest one thousand. -6000 What is 0.29718 rounded to 3 dps? 0.297 Round -11837.4 to the nearest 1000. -12000 What is 114.2 rounded to the nearest ten? 110 What is -0.12045 rounded to 2 dps? -0.12 What is 0.00010573 rounded to 4 decimal places? 0.0001 Round -0.00000045559 to 7 decimal places. -0.0000005 What is 19270000 rounded to the nearest one million? 19000000 Round 0.29711 to 3 decimal places. 0.297 Round -0.000067165 to seven decimal places. -0.0000672 Round -0.071919 to 3 dps. -0.072 What is -0.009415 rounded to 4 dps? -0.0094 What is -0.00002229 rounded to 7 decimal places? -0.0000223 Round 3821.3 to the nearest ten. 3820 Round -21361 to the nearest one thousand. -21000 Round -6949800 to the nearest 10000. -6950000 What is 0.000301 rounded to 5 decimal places? 0.0003 Round 0.005868 to 3 decimal places. 0.006 What is -51800000 rounded to the nearest one million? -52000000 Round -0.0326 to 2 dps. -0.03 What is -0.000061411 rounded to five decimal places? -0.00006 What is 0.01057 rounded to three dps? 0.011 Round -0.000000643 to six dps. -0.000001 Round -187610 to the nearest ten thousand. -190000 Round 0.005855 to 4 decimal places. 0.0059 What is -439.4 rounded to the nearest ten? -440 What is 0.0005031 rounded to four decimal places? 0.0005 What is 29110 rounded to the nearest ten thousand? 30000 What is -774.68 rounded to the nearest 10? -770 What is 0.01449 rounded to 4 dps? 0.0145 What is 11107 rounded to the nearest one thousand? 11000 What is -4636 rounded to the nearest one thousand? -5000 Round 2850 to the nearest 1000. 3000 What is 0.0255 rounded to two decimal places? 0.03 What is -31.46 rounded to the nearest integer? -31 What is 0.064191 rounded to three dps? 0.064 What is -22520 rounded to the nearest 10000? -20000 What is 4011700 rounded to the nearest 100000? 4000000 Round 22227 to the nearest 1000. 22000 What is -0.000076 rounded to 4 decimal places? -0.0001 What is 14.3776 rounded to 0 dps? 14 What is 182949 rounded to the nearest 1000? 183000 What is -0.0011817 rounded to four decimal places? -0.0012 Round 4780 to the nearest one hundred. 4800 Round -0.000970321 to 6 dps. -0.00097 What is 0.062539 rounded to 2 decimal places? 0.06 What is -8.454 rounded to one decimal place? -8.5 What is 0.016608 rounded to 3 decimal places? 0.017 What is 6809 rounded to the nearest one hundred? 6800 Round -0.07711 to 3 dps. -0.077 What is 1.321 rounded to 2 dps? 1.32 Round -0.00036553 to 4 decimal places. -0.0004 Round 0.0000011587 to 7 decimal places. 0.0000012 Round -3693000 to the nearest 100000. -3700000 Round 32663 to the nearest 1000. 33000 Round -0.2031 to 2 dps. -0.2 What is -0.0019675 rounded to 4 dps? -0.002 What is 5693 rounded to the nearest 100? 5700 Round -15732000 to the nearest one million. -16000000 What is 441300 rounded to the nearest 10000? 440000 Round 1.6191 to 2 decimal places. 1.62 What is 0.0018656 rounded to 4 decimal places? 0.0019 What is -1650 rounded to the nearest one thousand? -2000 What is 47693 rounded to the nearest one thousand? 48000 What is 0.15606 rounded to 3 decimal places? 0.156 Round 0.00000865 to 6 decimal places. 0.000009 Round -1646.3 to the nearest one hundred. -1600 Round -954000 to the nearest 100000. -1000000 What is -42.78 rounded to zero dps? -43 What is 5.665 rounded to 0 dps? 6 What is 0.00000338 rounded to 6 dps? 0.000003 What is 12191 rounded to the nearest one thousand? 12000 What is -0.00006751 rounded to 6 decimal places? -0.000068 Round -63110 to the nearest 1000. -63000 What is 0.06469 rounded to three decimal places? 0.065 Round -723440 to the nearest one thousand. -723000 Round -0.00000105142 to seven dps. -0.0000011 Round -600.2 to the nearest 10. -600 Round 0.000000681 to 7 dps. 0.0000007 What is 490 rounded to the nearest ten? 490 What is -0.00223731 rounded to four dps? -0.0022 Round 0.0000084529 to six decimal places. 0.000008 What is 69.717 rounded to the nearest 10? 7
{ "pile_set_name": "DM Mathematics" }
00, 567, 972, 1421? 1920 What is next in 5047, 5031, 5015, 4999, 4983, 4967? 4951 What is the next term in -2, 181, 688, 1681, 3322, 5773, 9196? 13753 What is the next term in 13011, 13009, 13005, 12999, 12991, 12981, 12969? 12955 What is the next term in 392, 1566, 3522, 6260? 9780 What is next in 409, 1535, 3381, 5947, 9233, 13239? 17965 What is next in 807823, 1615638, 2423453, 3231268, 4039083, 4846898? 5654713 What comes next: 1767, 6826, 15251, 27036, 42175, 60662, 82491? 107656 What is the next term in -3694, -3661, -3616, -3565, -3514, -3469, -3436, -3421? -3430 What is the next term in -13103, -13106, -13111, -13118? -13127 What comes next: -34534, -34500, -34416, -34258, -34002? -33624 What is next in -31208, -31212, -31210, -31202, -31188, -31168, -31142? -31110 What comes next: -132946, -265893, -398840? -531787 What comes next: -231, -432, -603, -738, -831, -876? -867 What is the next term in -138046, -138045, -138044? -138043 What is the next term in 1581, 1249, 917, 585, 253, -79? -411 What is the next term in -5738, -11459, -17180, -22901, -28622, -34343? -40064 What is next in 834, 813, 792, 771, 750, 729? 708 What comes next: -87137, -87139, -87141, -87143? -87145 What is the next term in 536, 476, 416, 356, 296, 236? 176 What is next in -1, -94, -279, -556? -925 What is next in 426, 1509, 3324, 5877, 9174, 13221, 18024? 23589 What is next in -76, -160, -252, -358, -484? -636 What is next in 35, -17, -169, -475, -989? -1765 What comes next: -147755, -295510, -443265, -591020? -738775 What is the next term in 471407, 471406, 471405, 471404, 471403? 471402 What is the next term in 864, 3441, 7744, 13779, 21552? 31069 What comes next: 217, 328, 513, 772? 1105 What is the next term in -1373, -1252, -1051, -770, -409? 32 What is the next term in 37424, 74843, 112262, 149681? 187100 What is the next term in 6605, 13183, 19761, 26339? 32917 What comes next: 150, 523, 1138, 1989, 3070, 4375, 5898, 7633? 9574 What comes next: 36680, 73350, 110002, 146630, 183228, 219790, 256310, 292782? 329200 What is the next term in 1275, 2428, 3581, 4734, 5887, 7040? 8193 What is next in -162931, -162967, -163003, -163039? -163075 What comes next: -333, -743, -1427, -2385, -3617? -5123 What is next in 390631, 781267, 1171897, 1562515, 1953115, 2343691? 2734237 What is next in 44888, 44954, 45020, 45086, 45152? 45218 What is next in 2270221, 2270226, 2270233, 2270242, 2270253, 2270266? 2270281 What is the next term in -20312, -20310, -20308, -20306? -20304 What is next in -783, -1352, -1711, -1860, -1799? -1528 What is next in -314, -29, 738, 2227, 4678, 8331? 13426 What is next in 6063, 24794, 56013, 99720, 155915? 224598 What comes next: 221427, 442850, 664273, 885696, 1107119? 1328542 What is next in 550905, 550909, 550913, 550917, 550921? 550925 What is the next term in 321810, 643625, 965440, 1287255, 1609070, 1930885? 2252700 What is the next term in 51, -80, -447, -1170, -2369? -4164 What comes next: -2457, -4912, -7371, -9834, -12301? -14772 What is the next term in 5751, 11481, 17211? 22941 What is the next term in 2331, 4658, 6985, 9312, 11639, 13966? 16293 What comes next: -1618, -1643, -1672, -1705? -1742 What is next in 25233, 25213, 25191, 25167, 25141? 25113 What comes next: -352, -2652, -8884, -21010, -40992? -70792 What is the next term in -11, 75, 145, 205, 261? 319 What is the next term in -102, 98, 296, 492, 686, 878, 1068? 1256 What is the next term in -2995, -6042, -9093, -12148? -15207 What is the next term in 383, 1164, 2335, 3896, 5847, 8188, 10919? 14040 What comes next: 678, 1577, 2474, 3369? 4262 What comes next: 29084, 29099, 29124, 29159, 29204? 29259 What comes next: -46851, -93711, -140569, -187419, -234255, -281071? -327861 What is next in -2474, -4187, -5902, -7619? -9338 What is the next term in -1047, -2097, -3147, -4197, -5247, -6297? -7347 What is next in -1, 47, 155, 347, 647, 1079, 1667, 2435? 3407 What comes next: 762, 2837, 6302, 11163, 17426? 25097 What is next in -225, -159, -93? -27 What is next in -634, -2629, -5952, -10603, -16582, -23889, -32524? -42487 What comes next: -395, -256, -117? 22 What is next in 1809, 1800, 1791, 1782? 1773 What comes next: 7, -47, -105, -167, -233, -303? -377 What is next in -260989, -521980, -782971, -1043962, -1304953? -1565944 What is next in -55, -150, -403, -892, -1695, -2890, -4555, -6768? -9607 What is the next term in 39, 93, 167, 261, 375, 509, 663? 837 What comes next: 378538, 378548, 378572, 378616, 378686, 378788? 378928 What is the next term in 109963, 109964, 109965, 109966? 109967 What is next in 1090, 2165, 3228, 4279, 5318, 6345? 7360 What is next in -182, -281, -454, -707, -1046? -1477 What is the next term in -40902, -40904, -40906, -40908, -40910, -40912? -40914 What is next in -325, -1049, -2161, -3661, -5549? -7825 What is next in -20, 15, 44, 61, 60, 35, -20? -111 What is the next term in 19, 139, 261, 385, 511? 639 What is the next term in -334, -1381, -3104, -5485, -8506, -12149, -16396, -21229? -26630 What is next in -65847, -65846, -65845, -65844? -65843 What comes next: -877, -6903, -23241, -55039, -107445, -185607, -294673? -439791 What comes next: 607, 749, 891, 1033, 1175? 1317 What is next in -8039, -16080, -24121, -32162, -40203, -48244? -56285 What is next in 241846, 483685, 725524, 967363, 1209202, 1451041? 1692880 What comes next: -13285, -26633, -39981? -53329 What comes next: -201634, -403282, -604940, -806608, -1008286, -1209974, -1411672? -1613380 What comes next: 422, 204, -160, -670, -1326, -2128, -3076? -4170 What is the next term in 116, -550, -1660, -3214? -5212 What is next in 529, 2132, 4807, 8560, 13397? 19324 What comes next: 28508, 28572, 28636, 28700? 28764 What comes next: 1522, 1512, 1494, 1468, 1434, 1392, 1342? 1284 What comes next: 476, 3807, 12840, 30425, 59412? 102651 What is the next term in 88648, 88649, 88650, 88651, 88652? 88653 What is next in -4644, -18613, -41896, -74493, -116404, -167629, -228168? -298021 What comes next: 21942, 21948, 21952, 21954, 21954? 21952 What is next in 54, 97, 168, 267, 394, 549, 732? 943 What comes next: 13069, 13009, 12949, 12889? 12829 What is the next term in -87, -153, -287, -489? -759 What is the next term in -184, -218, -270, -334, -404, -474? -538 What comes next: -67, -393, -1283, -3025, -5907, -10217, -16243? -24273 What is the next term in 243382, 486775, 730168, 973561, 1216954, 1460347? 1703740 What is the next term in 29, 29, 23, 5, -31, -91, -181, -307? -475 What is next in 197, 395, 599, 809? 1025 What is the next term in -9, -78, -145, -210, -273, -334? -393 What comes next: -175, -234, -383, -664, -1119, -1790, -2719, -3948? -5519 What is the next term in -1707593, -3415186, -5122779? -6830372 What comes next: 1354, 2183, 3012? 3841 What is next in 4762, 4761, 4774, 4807, 4866, 4957, 5086? 5259 What comes next: -195, -400, -579, -720, -811, -840, -795, -664? -435 What is the next term in -8308, -8311, -8314, -8317? -8320 What is next in -6101, -6016, -5927, -5834? -5737 What comes next: -1200505, -1200504, -1200503, -1200502, -1200501, -1200500? -1200499 What is the next term in 331, 288, 245? 202 What is the next term in 597, 210, -177, -564, -951, -1338? -1725 What is the next term in -2585, -2477, -2321, -2135, -1937? -1745 What is the next term in -18291, -18294, -18293, -18288, -18279, -18266? -18249 What is the next term in 2933, 5845, 8757, 11669? 14581 What is the next term in -45273, -45269, -45263, -45255, -45245, -45233, -45219? -45203 What comes next: -1351, -9175, -30403, -71737, -139879, -241531, -383395, -572173? -814567 What is the next term in 326, 479, 612, 719, 794? 831 What comes next: -37285, -74462, -111637, -148810, -185981, -223150, -260317? -297482 What is the next term in 151393, 302787, 454181, 605575? 756969 What comes next: 141468, 282930, 424392, 565854, 707316, 848778? 990240 What is the next term in 235696, 235690, 235684, 235678, 235672, 235666? 235660 What is next in 342, 693, 1056, 1431, 1818, 2217, 2628? 3051 What is the next term in -3836, -7663, -11490, -15317, -19144, -22971? -26798 What is next in -198, -161, -100, -9, 118, 287? 504 What comes next: 38276, 76556, 114838, 153122, 191408, 229696, 267986? 306278 What is next
{ "pile_set_name": "DM Mathematics" }
) 4 (c) l c Let d = 29 + -18. Let i be ((-2)/6)/(d/(-33)). Which is the third smallest value? (a) -5 (b) i (c) -3/7 b Let f = 129/19 + -11637/1672. Which is the second biggest value? (a) 5 (b) 2/9 (c) f b Let h = -0.79 - 0.21. Let r = 2308/15 + -154. Which is the second biggest value? (a) r (b) h (c) 2/3 a Let h = 69/2 + -489/14. Let k = -1 + 0.9. Let f = -1/177 - 58/177. What is the third biggest value in f, h, k? h Let j(s) = -28*s + 82. Let k be j(3). Which is the fourth smallest value? (a) 0.1 (b) 1/3 (c) k (d) 2/15 b Let t = -11 + 11. What is the biggest value in -2, t, -8/7, -0.1? t Let f = 668/5 - 134. Let l = 0.267 + -0.167. Which is the third smallest value? (a) f (b) 0 (c) l c Let w be -7 + 1 + (-25)/(-5). What is the third biggest value in -0.3, 4, w? w Let d = 7 + -6. Let z = 0.0372 - -6.9628. Which is the third biggest value? (a) z (b) d (c) 0.4 c Let u = 5.5 + -0.5. Suppose -17*k + 11*k - 30 = 0. Suppose -4*b + 7*w - 3*w + 32 = 0, 5*b + 3*w = 0. What is the second smallest value in u, k, b? b Let s(c) = 11*c - 51. Let j be s(5). What is the smallest value in 2/7, j, -1.4? -1.4 Let q be 6/21*(-1)/1. Let t = -21 + 20.06. Let a = t - -1.14. What is the third smallest value in 4, a, q? 4 Let n = 3.04 + -0.04. Let s = 0.5 + 1. Let x = 1.7 - s. Which is the third biggest value? (a) n (b) x (c) -1 c Let p = -936.2 - -931. What is the second biggest value in 1/2, -0.4, p, -0.3? -0.3 Let l = -2.4 - -0.2. Let r = l - -2.2. Let z = 10 - 15. Which is the smallest value? (a) z (b) r (c) 2 a Let t = 5.9 - 2.9. Let v = 3.5 - t. Let m(w) = 2*w - 6. Let s be m(5). Which is the second biggest value? (a) v (b) -2/5 (c) s a Let n = 0 + 12. Let m = n + -12.4. Let t = -0.1 + m. Which is the second smallest value? (a) t (b) 0.1 (c) 6 b Let s = -155 - -111. Let j = s - -48. Let q = 70 + -628/9. Which is the third smallest value? (a) q (b) 0.4 (c) j c Let w = -0.05 + 7.05. Let c = w - 8. Let n = 4 + c. What is the third biggest value in -6, n, -0.3? -6 Let p = 0.877 - 1.077. What is the third biggest value in -1, p, -5, -20? -5 Let t = 3.94 - -0.06. Let y be (-10*(-6)/15)/(-14). Which is the third biggest value? (a) 0.1 (b) 5 (c) y (d) t a Let n be (-1)/((-6)/(-10)) + (-8)/6. What is the biggest value in -1/3, 20, n? 20 Let b = -0.05 + -4.95. Let a = 2792 - 2788. What is the third biggest value in a, -4, 6, b? -4 Let u = 3.29 - 3.69. What is the second biggest value in 0.002, -1, u? u Suppose -136 = 5*p - 3*h, -4*p - 2*h - 94 = 3*h. Let q be -2*((-4)/p)/(-2). Let s = -0.02 + 0.52. Which is the third biggest value? (a) q (b) -1/4 (c) s b Suppose 48*d - 126 = 51*d. Let r = d + 212/5. What is the third smallest value in 0, -15, r? r Let z = -2273 + 2271. Let f be (-12)/(-44)*(-4)/6. Which is the third biggest value? (a) 3/5 (b) f (c) z (d) -1 d Let d = 0.726 + -0.326. Which is the second smallest value? (a) -15 (b) -5 (c) d b Let u(k) = 2*k**3 + 7*k**2 - 2*k + 9. Let f be u(-4). Let p = 2/635249 + -370985526/34938695. Let d = 54/5 + p. What is the biggest value in -0.5, d, f? f Let h = -23 + -14. Let y = h + 36.92. Which is the third smallest value? (a) 4 (b) -3 (c) y a Let g = 50.13 - 0.13. Let h = -50 + g. Which is the second biggest value? (a) 1 (b) 0.03 (c) h b Let f = -19.8 - -20.3. Which is the second smallest value? (a) f (b) -0.7 (c) -0.5 c Let l = -0.146 + -0.454. Which is the smallest value? (a) -2 (b) 6/11 (c) l a Let o = 171.03 - 171. What is the third smallest value in 2/9, -23, o? 2/9 Let h be (-6 - (-1222)/104) + 6/(-8). Let o = 0.8 + 0. What is the second biggest value in h, o, -1, 1? 1 Let r = -0.34 - -0.04. Let l = 0.2 - r. Let n be (12/16)/(-1 - 6/(-8)). Which is the third smallest value? (a) l (b) -1 (c) n a Let k = -1266 + 1267.2. What is the second biggest value in 0.7, k, 1/6? 0.7 Let n = -25.25 - -0.65. Let q = -25 - n. Which is the second biggest value? (a) q (b) 2/7 (c) -3 a Suppose 5*s = -g + 98, -4*g + 2*g - 64 = -3*s. Let d be (-1 + 0)/(s/((-8)/2)). Which is the second biggest value? (a) d (b) -4/5 (c) -4 b Let s = -1862 + 1848. Let t = 2/167 - -328/501. Which is the second smallest value? (a) s (b) t (c) 1/3 c Let i be (-25)/(-50) - (-9)/30. Let y = 4 + -3. Let k = 0.2 + -0.3. What is the smallest value in k, i, y? k Let n = 4/157 - 487/628. What is the second biggest value in -2/3, n, -4, 5? -2/3 Let b be (-2)/(-4) + (-12)/8. Let d = 1.24 - -0.16. Let q = d - -0.6. What is the smallest value in b, -3/5, q? b Let d = -0.6728 + 0.2728. Suppose 3*s - 2*s = 2*k + 29, 2*s = -5*k - 59. Which is the third biggest value? (a) d (b) k (c) -5 b Let j = -0.205 + -29.995. Let q = j - -30. Which is the third biggest value? (a) q (b) 2 (c) -2/7 (d) 1/3 a Let t = -33.62 + 34.12. Let b = -0.73 - 0.17. Let l = 0.1 - b. What is the second smallest value in l, t, 4? l Let z = 0.65 + -0.8. Let o = -8.15 - z. Let y = o + 4. Which is the third smallest value? (a) -2/7 (b) y (c) 0.3 c Let d = 9 + -5. Let w = d - 5.6. Let i = w - -2.6. Which is the third biggest value? (a) -1 (b) i (c) 2 a Let h(z) = z - 7. Let k be h(-15). Let i be 15/k - 11/(-22). Which is the biggest value? (a) -2 (b) -2/7 (c) i c Suppose -15*m + 13*m = 10. Let t = 0 - -0.1. What is the third biggest value in m, -0.01, t? m Let c = 81 - 78. What is the third biggest value in -0.3, 0.5, c? -0.3 Let o = -0.6 - 24.4. Let d = -28 - o. What is the biggest value in 1/10, 0.5, d? 0.5 Let g = -0.6 + 0.66. Let s = g - 0.16. Let w = 27.5 + -28. Which is the second biggest value? (a) 0.3 (b) w (c) s c Let r = 0.1 + 7.4. Let q = -7 + r. Which is the second smallest value? (a) -0.5 (b) q (c) 0.2 (d) 3 c Let l be 42 - 2/4*4. Suppose 0 = m - 4, 0 = -s - 3*m + l. Let q be 13/(-28) - s/98. What is the third smallest value in q, -5, -2? q Suppose -3*m + 7*m - 264 = -q, -4*m - 4*q = -276. Suppose 64*j + 5 = m*j. What is the second smallest value in j, 0.3, 0.4, -1? 0.3 Let v = 0.817 - 5.817. Which is the third smallest value? (a) 0.06 (b) -1/2 (c) -0.1 (d) v c Let u = 423 - 418. Let s = -1178/1485 - 2/297. Let f be (-24)/35 - 4/(-14). Which is the second smallest value? (a) f (b) s (c) u a Suppose 229 = -5*o + 239. What is the third biggest value in o, 0.18, 3? 0.18 Let h = 1438/2541 + 2/363. What is the smallest value in 2/15, 0.4, h? 2/15 Let n(j) = 4*j**2 + 24*j + 6. Let u be n(-6). Suppose 0 = 3*f - 6 - u, -3*f = g - 13. What is the third smallest value in 3, 0, g, -5? g Let p = -14.457 - -12.457. Let m = 0 - -0.3. Which is the smallest value? (a) -23 (b) p (c) m a Suppose 2*g - 2 - 4 = 0. Suppose 0 = 2*p - g*s + 4, -3*p = -s + 2 + 4. Let f be p*((-6)/3)/(-18). Which is the smallest value? (a) 1 (b) 0.2 (c) f c Let n be 507/(-27) - (-2)/(-9). Let h be n - (5 + -1)/(-1). Let x be h/12*(-2)/20. Which is the smallest value? (a) 0 (b) 0.2 (c) x a Suppose 48*v = 43*v + 1515. Let d = 3331/11 - v. Which is the third smallest value? (a) -1/46 (b) d (c) -5/2 a Let x(l) = l**3 + 20*l**2 - 18*l + 65. Let g be x(-21). What is the second smallest value in 0.5, 4/7, g? 4/7 Let k = 6 - 6. Let r = k + -5. Which is the smallest value? (a) 3 (b) -6 (c) r (d) 3/2 b Let u = -1.7 + -0.1. Let y = 1.2 + u. Let c = y - -0.4. What is the smallest value in c, -0.02, 5? c Let q be (-2)/(64/(-24)) + (-31)/20. Which is the smallest value? (a) q (b) 4/7 (c) 2/7 (d) 0 a Suppose 27*w + 8*w - 70 = 0. What is the second smallest value in w, 3/2, 3, 31? w Let u = 7.19 + -4.3. Let z = 0.11 + u. Let f be -2 - (24/2)/(-2). What is the third smallest value in -0.1, f, z? f Let y = 89/45 - 11/5. Let j be (-25)/(-150) + 2/24. Let u = -8 - -5. Which is the third biggest value? (a) j (b) u (c) y b Suppose 0 = -0*z - 2*z + 32. Suppose 0 = -5*f + 1 - z. Let j be f - 36/(-17) - -1. Which is the second biggest value? (a) j (b) 3/4 (c) 4 b Let o be (4/8)/(1/(-78)). Let m = o + 39. Which is the third smallest value? (a) m (b) 1/6 (c) -2 b Let x(i) be the second derivative of -i**4/4 + i**3/2 + i**2/2 + 27*i. Let g be x(2). Which is the smallest value? (a) -1 (b) g (c) -0.5 (d) -2/7 b Suppose g + 0*g = 9*g. What is the fourth smallest value in -1/2, 194, 1/3, g? 194 Suppose -12 = -5*s + 3, -2*r + 17 = 5*s.
{ "pile_set_name": "DM Mathematics" }
w - 426 - 149. What are the prime factors of w? 5, 23 Let i(n) = -n**2 + 6*n - 2*n + n. Let u be i(5). Suppose u = 2*q - q - 2. List the prime factors of q. 2 Suppose -3*v = 5*l - 3 - 41, l + 2*v = 6. Let c = 2 + l. List the prime factors of c. 2, 3 Suppose 2*m + 2*m - 108 = 0. What are the prime factors of m? 3 Let l(y) = 27*y**2 - y - 13. List the prime factors of l(4). 5, 83 Let x = -23 - 14. Let h = x + 7. Let b = 49 + h. List the prime factors of b. 19 What are the prime factors of 82/3 - (-12)/18? 2, 7 Let n = 19 + -12. List the prime factors of (18/n)/((-3)/(-21)). 2, 3 Suppose -9*z - 400 = -13*z. What are the prime factors of z? 2, 5 Let o(s) = s**3 - s**2 + s + 18. Let h be o(0). Let x = h + -6. List the prime factors of x. 2, 3 Let v(f) = -f + 3. Let y be v(0). Suppose -3 = -y*u + 3. Suppose u*q = 5*t - 4, -22 = -3*q - 4*t - 5. What are the prime factors of q? 3 Let p = 99 - -43. What are the prime factors of p? 2, 71 Suppose 4*a = 9 - 1. Suppose -6 = -3*f - 2*g, 4*f = -a*g + 7*g + 8. List the prime factors of f. 2 Suppose 0 = 4*h + 1 - 13. Let g = 57 - 26. List the prime factors of g/h - 2/6. 2, 5 Let p = 69 - 35. Suppose -3*y - 3*g + p = -5*g, -52 = -4*y - 4*g. What are the prime factors of y? 2, 3 Suppose 0 = 3*p + 4 - 10. Suppose 5*o + p*s - 24 = -2*s, o = -3*s - 4. What are the prime factors of o? 2 Suppose 4*o = 2*o + 8. Let v = -8 - -14. Suppose p = -v*g + o*g + 32, 5*g - p = 66. List the prime factors of g. 2, 7 Let w(a) = a**2 - 6*a. Let o be w(7). List the prime factors of 2*(2 + o/2). 11 Let x(n) = n**3 - n**2. Let a(t) = 7*t**2 - 8. Let u(h) = -a(h) + x(h). What are the prime factors of u(8)? 2 Suppose -5*z = p + 9, 0*p + 2*p = z - 7. Let h = p + 6. What are the prime factors of h? 2 Let c(o) = o**2 - 4*o + 3. Let i(s) be the third derivative of -s**5/60 - s**4/3 - s**3/3 + 2*s**2. Let g be i(-7). What are the prime factors of c(g)? 2 Suppose a + 79 = 3*a - f, -f + 201 = 5*a. Suppose -4*q + 12 + a = 0. What are the prime factors of q? 13 Let h = 25 + -17. What are the prime factors of h - 3/(-2 + -1)? 3 Let l be (-2)/8 - 2/(-8). Suppose -k + 6*k = l. Suppose 2*i + 4*g = -k*g + 18, 4*i = -2*g + 54. What are the prime factors of i? 3, 5 Let p(r) = r**3 - 7*r**2 - r + 9. Let b be p(7). Let u = b - -42. List the prime factors of u. 2, 11 Let t be (1/2)/(2/72). Let j = -3 + t. Suppose j = 5*y - 5. What are the prime factors of y? 2 Let d be -1*(1 + 3 + -2). Let j be 3 + (d - -1*4). Suppose 0 = j*g - 36 + 6. What are the prime factors of g? 2, 3 Let i be (4 + 3)*(-6)/(-7). Let q = i - -2. List the prime factors of q. 2 What are the prime factors of ((-179)/4)/((-20)/80)? 179 Let z = 10 - 3. Let p = z + 6. List the prime factors of p. 13 Let a = 5 + -20. Let f = 36 + a. Suppose -6*v = 3*b - 3*v - f, 0 = 5*b - 4*v - 35. List the prime factors of b. 7 Suppose -5*g + 3*g + 84 = 0. What are the prime factors of g? 2, 3, 7 Suppose -2*o = -d + 2*d - 3, 5*d + 21 = 2*o. Suppose 145 = 2*l + o*l. What are the prime factors of l? 29 Suppose -5*z = -0*z + 55. Let p be 18/(-1 + 0 + 2). Let x = z + p. What are the prime factors of x? 7 Let m(o) = o**3 - 4*o**2 - o - 2. Let t be m(4). Let s = 3 - t. List the prime factors of s. 3 Suppose -105 = -3*m + 99. Suppose 2*f + m = 6*f. What are the prime factors of f? 17 Let x = -2 - 4. Let u(a) = -a**3 - 6*a**2 - 2*a - 2. What are the prime factors of u(x)? 2, 5 Let z be (-8)/(-6)*3/2. Suppose -5*j + z*r = -5, j + 2*r + 0*r = 13. What are the prime factors of -1*3/j*-5? 5 What are the prime factors of -2*4/8 + 143? 2, 71 Suppose 0 = 5*n + 76 - 11. Let j = n + 30. List the prime factors of j. 17 Let z(d) = -d**3 + 3. Let h be z(0). Suppose -24 = -t - h*t. List the prime factors of t. 2, 3 Let w(q) = q**3 + 9*q**2 - 10*q + 4. Let b be w(-10). Suppose -b*i + 2*s = -26, -3*i + 4*s + 31 = 2*i. What are the prime factors of i? 7 Let y = 32 - 8. Suppose -9*r + y = -5*r. List the prime factors of r. 2, 3 Suppose 3*p - 8 - 7 = 0. Suppose p*t - 4 - 1 = 0. Let i = t - -4. List the prime factors of i. 5 Let b be 100/8 - (-2)/4. Suppose 0 = 4*v - 2*v - 4. Suppose -v*k - 1 = -b. List the prime factors of k. 2, 3 Let i(c) = 7 + 0*c + 0*c + c. Let n be i(-6). Suppose 4*a - 23 = n. List the prime factors of a. 2, 3 Suppose -4*p + 27 - 7 = 0. Suppose 56 = p*n - 9. List the prime factors of n. 13 Suppose 0 = -2*w - 72 + 226. List the prime factors of 4/(-14) + 1408/w. 2, 3 Let u be 0 - (0/(-3) - 3). Suppose 170 = 5*n - u*d, -4*n + 3*n + 6 = 5*d. List the prime factors of n. 31 What are the prime factors of 0*((-3)/6 + 0) - -134? 2, 67 Let l = 1018 + -688. What are the prime factors of l? 2, 3, 5, 11 Let y = -4 - -7. Suppose 0 = y*x + x - 4*i - 48, -42 = -4*x + i. List the prime factors of x. 2, 5 Let c = 35 + -20. Let b = 21 - c. What are the prime factors of b? 2, 3 Suppose -2*i + 23 = -5*x - 24, 0 = -2*x + 2*i - 20. Let c = x + 5. Let a(g) = g**3 + 5*g**2 + g. List the prime factors of a(c). 2, 3 Suppose -15 = -r - 2*n + 8, 3*n - 80 = -5*r. Let o = -9 + r. Suppose -o*u = -10 - 18. List the prime factors of u. 7 Let z = 14 + -8. What are the prime factors of z? 2, 3 Let w be 23/4 - (-2)/8. Let s = w + 7. What are the prime factors of s? 13 Let y(r) be the third derivative of r**5/30 - r**4/4 + r**3/3 - 2*r**2. What are the prime factors of y(4)? 2, 5 List the prime factors of (-4)/18 - (-1470)/54. 3 Let y(p) = p**2 + 3*p - 6. Let h be y(-5). Suppose 8 = h*o - 0. What are the prime factors of o? 2 Suppose 9 = 4*q + 1. Suppose -8 = 5*w - 3*w, 3*r = q*w + 23. Suppose r*n = 5*p + 50, -3*p = 5*n + 2*p - 30. What are the prime factors of n? 2 Let t = -100 - -242. List the prime factors of t. 2, 71 Suppose -5*j + 17 = 57. Let l = j - -15. List the prime factors of l. 7 Let o be (0 + (-315)/(-12))*12. Let a be 2/((-6)/o*-3). Suppose 4*y + y = a. List the prime factors of y. 7 Let s = -9 - -57. What are the prime factors of s? 2, 3 Let a(i) = 3*i - 1. Let p be a(3). Suppose 3*x = x - p. What are the prime factors of -2 - ((-2)/1 + x)? 2 List the prime factors of (-730)/(-6) + (-6)/(-18). 2, 61 Let q(x) = -x**3 + 14*x**2 - 12*x - 9. Let p be q(13). List the prime factors of (-126 - -10)*(-1)/p. 29 What are the prime factors of (-330)/(-8) - 11/44? 41 Suppose 2*s - 3 = -1. Let a be 0/(0/(-1) - s). Suppose 0 = 5*n - a*n - 40. What are the prime factors of n? 2 Let k(t) = t**2 + 20. List the prime factors of k(-11). 3, 47 Let x(n) = -n**2 - 7*n - 9. Let g be x(-6). List the prime factors of (g - 6)*(2 - 3). 3 What are the prime factors of (3705/(-26))/(3/(-4))? 2, 5, 19 Suppose 6*b - 75 = -5*y + 3*b, 4*b = 20. What are the prime factors of y? 2, 3 Let h = -11 - 29. Let y = 76 + h. What are the prime factors of y? 2, 3 Suppose 0*n = 2*n. Suppose -4*f + 0*f + 8 = n. Suppose 5*a = -4*p + 78, f*a - p = 2*p + 22. What are the prime factors of a? 2, 7 Suppose -s = -0*s + 2, 14 = 3*j - s. Suppose -2*q = 4*t + 10, 3*q - 11 = 4*t + 24. Let c = j - t. What are the prime factors of c? 3 Let u = -17 + 11. Let s be (-4)/u - (-148)/12. Let g = s - 9. What are the prime factors of g? 2 Suppose 0 = o + 4*i - 19, -4*i - 5 - 9 = -2*o. Let g be (2/(-4))/((-1)/32). Let k = g - o. List the prime factors of k. 5 Let o = -5 + 5. Let l(b) = -3*b + o*b + 3*b - 7 + 2*b. List the prime factors of l(6). 5 Let p be ((-2)/3)/(2/(-9)). Let f(y) = -16*y - 3. Let r be f(-2). Suppose p + r = 4*q. What are the prime factors of q? 2 Let o = 1 - 0. Let r = -1 - -4. Suppose -w = o - r. What are the prime factors of w? 2 Let d = 47 + -18. What are the prime factors of d? 29 Suppose -2*k - 4*i + 133 - 21 = 0, -10 = -2*i. What are the prime factors of k? 2, 23 Let r(g) = -2*g - 1. Let y be r(2). Let z = y - -15. What are the prime factors of z? 2, 5 Let y(r) = r**3 - r**2 - 3*r + 2. Let l be y(3). Suppose 0 = -j + 4*q - 13, -j + l = 3*q - 4. What are the prime factors of j? 3 Let t = 2 - -3. Suppose -t*n - 27 = -4*r, -3*r = -7*r - 2*n + 34. List the prime factors of r. 2 Suppose 2*g - 4*g = 2*q - 18, -3*g = -6. Let s = -4 + q. List the prime factors of s. 3 Let o(w) = -12*w**3 + w**2. Let u be 2/(-4) + 1/(-2). What are the prime factors of o(u)? 13 Let p = -1 - -3. Let i be ((-10)/p)/(6 + -7). Suppose 0 = -h - i*l + 19, -3*h + 7*h - l - 55 = 0. List the prime factor
{ "pile_set_name": "DM Mathematics" }