Let b(c) = 9*c**2 + 12*c - 6. Let w(j) = -10*j**2 - 13*j + 7. Suppose -5 - 19 = -4*m. Let k(i) = m*w(i) + 7*b(i). What is u in k(u) = 0?
-2, 0
Let n(a) be the third derivative of a**6/60 + a**5/5 + 32*a**2. Factor n(j).
2*j**2*(j + 6)
Let l(g) be the third derivative of -1/72*g**6 + 0*g + 0 + 1/9*g**5 + 8*g**2 - 5/18*g**4 + 0*g**3. Factor l(w).
-5*w*(w - 2)**2/3
Let z = 7686/12805 - 3/12805. What is h in -2/5*h + 0 - z*h**2 - 1/5*h**3 = 0?
-2, -1, 0
Let x be -4*(-1)/(-2)*-3. Let l be 8/(-4) + 30/x. Factor 2/7 - 2/7*k**4 + 0*k**2 + 4/7*k - 4/7*k**l.
-2*(k - 1)*(k + 1)**3/7
Let h(c) = 6*c**3 + 4*c**2 + 18*c + 28. Let w(l) = -10*l**3 - 6*l**2 - 36*l - 58. Let q(j) = 7*h(j) + 4*w(j). Suppose q(v) = 0. What is v?
-3, -2, 3
Let x = 9 - 7. Let z be ((-1)/x)/(1/(-6)). Find y, given that 33*y**3 - 36*y + 12 - 33*y**2 - 21*y**z + 94*y**4 + 78*y**3 - 19*y**4 = 0.
-1, 2/5
Factor 32/9 + 2/9*m**2 + 34/9*m.
2*(m + 1)*(m + 16)/9
Suppose 2*l + 2*l - g = 11, 0 = 3*l - 5*g - 21. Let k be -1*(480/(-50))/16. Suppose -6/5*x + 0 + k*x**l + 3/5*x**3 = 0. What is x?
-2, 0, 1
Suppose 58*q = 49*q + 1287. Let m = q + -143. Factor m + 1/7*i**2 + 0*i.
i**2/7
Let l(z) = -2*z**2 + 38*z + 2. Let f be l(0). What is p in 14/3*p + 4/3 - 14/3*p**f - 8*p**3 = 0?
-1, -1/4, 2/3
Let p(z) = -5*z**2 + z - 11. Let h(r) = 7*r**2 + 13. Let j(x) = 3*h(x) + 4*p(x). Solve j(s) = 0.
-5, 1
Let c = 3122/5 - 622. Let v(b) be the first derivative of 1 - 3/5*b**3 - 3/20*b**4 + c*b + 0*b**2. Factor v(r).
-3*(r - 1)*(r + 2)**2/5
Let k = 129/52 + 1/52. Let b = -150 + 152. What is a in 0 + a - k*a**b = 0?
0, 2/5
Suppose -2*j + 0*f = f - 79, -j + 29 = 4*f. Factor -j*b + b**3 + 40*b + b**2 - 3*b**2 + 2.
(b - 2)*(b - 1)*(b + 1)
Factor 0 + 1/3*m**2 - 1/3*m**4 + 0*m + 0*m**3.
-m**2*(m - 1)*(m + 1)/3
Let i(g) = -12*g - 30. Let j be i(-4). Let n be (2 + -2)*(-1)/(-1). Solve 4*o**2 + 2*o + 8*o**2 + j*o**3 + n*o + 0*o = 0 for o.
-1/3, 0
Factor -27*k + 74*k + 2*k**3 + 36*k**2 + 112 + 73*k.
2*(k + 2)**2*(k + 14)
Let f(j) be the third derivative of -j**8/20160 - j**7/2520 - j**6/1080 + j**4/12 + 9*j**2. Let l(a) be the second derivative of f(a). Solve l(n) = 0 for n.
-2, -1, 0
Let b(k) be the second derivative of -k**4/3 - 12*k**3 - 34*k**2 - 64*k - 1. Factor b(z).
-4*(z + 1)*(z + 17)
Let b(x) be the second derivative of -2*x**3 + 2*x**4 + 25/8*x**7 + 0 - 9*x - 3*x**2 - 5*x**6 + 3/2*x**5. Let r(j) be the first derivative of b(j). Factor r(y).
3*(5*y - 2)**3*(7*y + 2)/4
Let t(r) be the first derivative of -3*r**5/25 - 3*r**4/10 - r**3/5 + 5. Factor t(x).
-3*x**2*(x + 1)**2/5
Suppose 7*i = 2*i. Let l be ((-6)/9)/((-115)/138). Determine g so that -l*g**2 + 2/5*g + 2/5*g**3 + i = 0.
0, 1
Let v(o) = -o**2 - 13 - 3 - o**2 + 19. Let m(b) = 1. Let x = 1 - 0. Let u(g) = x*v(g) + 5*m(g). Factor u(t).
-2*(t - 2)*(t + 2)
Suppose -2*v + 2 = -v. Solve -24*c - c**2 + 0*c**2 - v*c**2 + 72 + 5*c**2 = 0.
6
Let p be 5*(-1 - 14/(-10)). Suppose -6 = -4*s + p*s. Determine c, given that -c - 2*c - s*c**2 - c**3 + 4*c + c**4 + 2 = 0.
-1, 1, 2
Let r(x) be the third derivative of -x**8/6720 - x**7/84 - 5*x**6/12 + x**5/60 - 32*x**2. Let c(d) be the third derivative of r(d). Solve c(v) = 0 for v.
-10
Let w(c) = c**2 - c + 1. Let k(b) = -9*b**2 - 66*b - 438. Let o be (2/10)/((-3)/15). Let i(q) = o*k(q) - 6*w(q). Solve i(x) = 0.
-12
Let b(u) = 25*u**3 + 230*u**2 - 515*u + 290. Let q(h) = -8*h**3 - 77*h**2 + 172*h - 96. Let m(w) = -3*b(w) - 10*q(w). Let m(c) = 0. Calculate c.
-18, 1
Let s(t) = 4*t + 10. Let m(l) = 9*l + 20. Let h(f) = 3*m(f) - 7*s(f). Let k be h(-14). Find c, given that 0*c**k + c + 2/3 + 1/3*c**5 - 2/3*c**2 - 4/3*c**3 = 0.
-1, 1, 2
Let -19*q**2 + 72 + 75*q**2 - 4*q**3 - 27*q**2 - 148*q + 51*q**2 = 0. Calculate q.
1, 18
Let o be (-108)/(-160) + 14/112. Let a = 62 + -59. Let -o*k - 2/5*k**a + 0 + 6/5*k**2 = 0. What is k?
0, 1, 2
Let f = 169 - 160. Suppose -27 = -f*x - 9. Solve 0 - 2/11*g**x - 2/11*g = 0.
-1, 0
Let w(o) be the first derivative of -100*o**3/27 - 140*o**2/9 - 196*o/9 + 11. Factor w(y).
-4*(5*y + 7)**2/9
Let p(t) = -t - 1. Let n be p(-6). Factor 62*d - 5*d**4 - 130*d**2 + 33*d + 846*d**3 - 3*d**5 - 25 - 776*d**3 - 2*d**n.
-5*(d - 1)**4*(d + 5)
Let h(f) be the first derivative of -4*f**3/3 - 12*f**2 + 30. Find r, given that h(r) = 0.
-6, 0
Let u(d) be the first derivative of -d**3/6 - 19*d**2/4 - 77. Let u(r) = 0. Calculate r.
-19, 0
Let f(o) be the third derivative of o**6/40 - 7*o**5/10 - 31*o**4/8 - 8*o**3 - 148*o**2. What is g in f(g) = 0?
-1, 16
Let u = -160712/7 - -22960. Let 24/7*g**4 - u*g**2 + 0 + 2/7*g - 4/7*g**3 + 18/7*g**5 = 0. What is g?
-1, 0, 1/3
Let q = 4033678/220591 - 2/31513. Suppose 32/7*k + 2/7*k**2 + q = 0. What is k?
-8
Let d = -9 + 4. Let a be 20/14 + 9/(-21). Let i(w) = -w**2 + w + 1. Let q(f) = -10*f**2 + 18*f + 11. Let z(o) = a*q(o) + d*i(o). Determine m so that z(m) = 0.
-2/5, 3
Suppose 5*z + p = 8, z = -82*p + 85*p + 8. Find k such that -12/7*k - 351/7*k**3 + 120/7*k**z + 243/7*k**4 + 0 = 0.
0, 2/9, 1
Let v(j) = -j**3 + 9*j**2 + 20*j - 16. Let n(g) = 3*g**3 - 17*g**2 - 40*g + 33. Let f(c) = 4*n(c) + 7*v(c). Let f(x) = 0. Calculate x.
-2, 1, 2
Factor 2/5*n**3 + 0 - 12*n**2 + 90*n.
2*n*(n - 15)**2/5
Let k(z) be the first derivative of z**4 + 0*z**2 - 4/5*z**5 + 0*z + 4 + 0*z**3. What is p in k(p) = 0?
0, 1
Suppose 1764 = 4*h + 1764. Factor -3/5*x**2 + h + 3/5*x.
-3*x*(x - 1)/5
Let a = -58/165 - -38/33. Find w such that 0*w - a*w**2 - 2/5*w**3 + 0 = 0.
-2, 0
Let x(z) be the second derivative of z**6/10 - 27*z**4/4 - 25*z**3 - 36*z**2 - 358*z. Factor x(l).
3*(l - 6)*(l + 1)**2*(l + 4)
Let z be (-2)/5 - (-9 - 264/(-40)). Let f(d) be the third derivative of 0 + 1/8*d**4 - d**z + 0*d - 1/20*d**5 + 0*d**3. Find u, given that f(u) = 0.
0, 1
What is p in -27/5 + 33/5*p - p**2 - 1/5*p**3 = 0?
-9, 1, 3
Let y(a) be the first derivative of -5*a**4/22 - 76*a**3/33 + 116*a**2/11 - 80*a/11 + 1093. Find z such that y(z) = 0.
-10, 2/5, 2
Let a be 474/162 + (-234)/(-3159). Let a*y**3 + 0 - 3/4*y**4 + 33/4*y**2 + 9/2*y = 0. What is y?
-1, 0, 6
Let a be 85/84 - 4/16. Let m = a + -3/7. Determine k, given that -m*k**2 + 0 + 1/3*k**4 + 1/3*k - 1/3*k**3 = 0.
-1, 0, 1
Let m(a) be the third derivative of -a**6/120 - a**5/20 - a**4/12 + 49*a**2 + 1. Let m(z) = 0. Calculate z.
-2, -1, 0
Suppose 0 = -b - 9 + 10. Let f be b*(3 + 8/5 - 1). Find u, given that 4/5*u**4 + 0 - f*u**3 + 24/5*u**2 - 8/5*u = 0.
0, 1/2, 2
Let h be (-1)/2 + (-18)/(-4). Factor -30*p**3 + 4*p**5 - 9*p**5 + 20*p**2 + 44*p - 30*p**4 + 5*p**h - 4*p.
-5*p*(p - 1)*(p + 2)**3
Let 24*p - 4*p**3 - p**3 - 40*p + 9*p**3 = 0. What is p?
-2, 0, 2
Find m, given that 0*m - 15/2*m**3 + 0 + 2*m**2 + 4*m**4 + 3/2*m**5 = 0.
-4, 0, 1/3, 1
Let l(o) be the third derivative of 578/3*o**3 + 12*o**2 + 1/15*o**5 + 17/3*o**4 + 0*o + 0. Factor l(n).
4*(n + 17)**2
Let d(y) = -12*y**2 - 4*y - 2. Let j(a) = a**2 - a. Let s(t) = 2*d(t) + 14*j(t). Factor s(q).
-2*(q + 2)*(5*q + 1)
What is v in -32*v**3 + 4*v + 2*v - 29*v**3 + 0*v**2 + v**2 + 60*v**3 = 0?
-2, 0, 3
Factor 30/17*n**2 + 0 + 0*n - 2/17*n**3.
-2*n**2*(n - 15)/17
Let c(w) be the first derivative of -w**6/2 - 21*w**5 - 201*w**4/4 - 33*w**3 + 45. Factor c(t).
-3*t**2*(t + 1)**2*(t + 33)
Let d = -33 - -37. Determine m, given that m**4 - 2*m**d + 2*m**3 - 3*m**4 + 4*m**2 - 90*m**5 + 88*m**5 = 0.
-2, -1, 0, 1
Let p be ((-60)/80)/((-1)/16). Find j, given that 18*j**3 + 8*j**5 - 6*j**5 - 3*j - p*j**4 + 3*j = 0.
0, 3
Factor 6 - 3/2*k**3 - 6*k**2 + 3/2*k.
-3*(k - 1)*(k + 1)*(k + 4)/2
Suppose 0*b = b + 2. Let q be 21*(b - 16/(-6)). Factor 0 + 12*j**2 + 2 + 2*j**4 + 6*j**3 - 8*j - q*j**3.
2*(j - 1)**4
Factor -531 + 6201 + 4701 + 4*d**2 + 384*d - 1155.
4*(d + 48)**2
Let g(z) be the second derivative of -z**7/840 + z**6/24 - 5*z**5/8 + 2*z**4/3 - 6*z. Let b(j) be the third derivative of g(j). Factor b(y).
-3*(y - 5)**2
Let p(d) be the second derivative of -3*d**5/80 + 7*d**4/16 + d**3 - 26*d. Factor p(y).
-3*y*(y - 8)*(y + 1)/4
Let k(j) = j - 11. Let w be k(11). Let s(i) = -i**2 + i + 2. Let n be s(w). Factor -2*p**2 - 2*p**2 + 3*p**n - 4*p**2 - 4*p**3 - p.
-p*(p + 1)*(4*p + 1)
Suppose -8*r - 28 - 28 = 0. Let a be r/28*-19 - 2/(-8). Determine q so that 10/7*q**3 - 4/7*q**2 - 8/7*q**4 + 0*q + 2/7*q**a + 0 = 0.
0, 1, 2
Let s = 