*2 + c*r**5 = 0. What is r?
0, 1
Solve -11*g - 17/4*g**2 - 1/4*g**3 - 7 = 0 for g.
-14, -2, -1
Let m(a) be the third derivative of a**5/270 - 55*a**4/54 + 3025*a**3/27 + 6*a**2 + 24. Find f such that m(f) = 0.
55
Suppose -c + 0*c - c = 0. Let f(o) be the third derivative of 4*o**2 + 1/24*o**4 + 1/96*o**6 + 0 + 1/840*o**7 + 0*o + 1/30*o**5 + c*o**3. Factor f(y).
y*(y + 1)*(y + 2)**2/4
Let p = 65 + -64. Let g(l) be the first derivative of 3*l**4 + 2*l**3 - 3*l**2 - 1. Let s(h) = h**3 - h. Let w(q) = p*g(q) - 10*s(q). Factor w(c).
2*c*(c + 1)*(c + 2)
Let f be (5/(-10))/(2/(-20)). Let 42*j**3 - 21*j + 6 - 21*j**f + 5*j**4 + j**4 - j**4 + j**4 - 12*j**2 = 0. Calculate j.
-1, 2/7, 1
Let k = 10282/5 - 2056. Determine o, given that 4*o - k*o**2 + 0 = 0.
0, 10
Suppose -33 = -63*b + 50*b - 7. Find y, given that -1/5*y**b - 1/5*y**4 + 2/5*y**3 + 0 + 0*y = 0.
0, 1
Let g be 13 + (-366)/48 + (-6)/16. Let z(i) be the first derivative of 0*i + 2/21*i**3 + 6/35*i**g - 4 + 0*i**2 - 1/21*i**6 - 3/14*i**4. Factor z(c).
-2*c**2*(c - 1)**3/7
Let r(b) be the third derivative of b**7/1050 + 7*b**6/200 + 13*b**5/100 + 19*b**4/120 - 7*b**2 - b. Factor r(f).
f*(f + 1)**2*(f + 19)/5
Let u = 522 - 514. Let t(k) be the third derivative of 0*k**4 - 1/210*k**5 + 0 + 0*k + 1/1470*k**7 + 0*k**6 + 1/42*k**3 + u*k**2. Factor t(c).
(c - 1)**2*(c + 1)**2/7
Let f(q) = -4*q**3 - 10*q**2 + 4*q + 14. Let a(h) = -h + 2. Let v(p) = -4*a(p) + f(p). Factor v(u).
-2*(u - 1)*(u + 3)*(2*u + 1)
Find g, given that -6/19*g**2 + 0 + 8/19*g**3 + 0*g - 2/19*g**4 = 0.
0, 1, 3
Let x be ((-153)/(-30))/((-47)/(-45) - 260/585). Factor -10*t - x*t**2 - 2 - 2*t**3.
-(t + 2)**2*(4*t + 1)/2
Let f(g) be the first derivative of -2*g**6/3 + 24*g**5/5 - 8*g**4 - 8*g**3/3 + 18*g**2 - 16*g + 207. Solve f(b) = 0 for b.
-1, 1, 4
Let p be (-16)/6*(-3)/2. Find t such that -4*t**3 - 27*t**4 + 0*t**3 + p*t + 23*t**4 + 6*t**2 - 2*t**2 = 0.
-1, 0, 1
Let m = 11 + -5. Let l be 0/4 + m/2. Find k, given that -2*k**4 + 3*k**2 - 7*k - l*k**3 + 3*k**5 - k**4 + 7*k = 0.
-1, 0, 1
Let n(r) be the third derivative of 1/30*r**3 - 3/80*r**4 + 0 + 1/50*r**5 - 10*r**2 - 1/300*r**6 + 0*r. Factor n(z).
-(z - 2)*(2*z - 1)**2/10
Suppose 9 = -17*z + 20*z. Let c**3 + 0*c**2 + z*c**3 + 4*c**2 - 8*c = 0. What is c?
-2, 0, 1
Let h(i) be the first derivative of i**3/2 + 105*i**2/2 + 3675*i/2 + 181. Factor h(z).
3*(z + 35)**2/2
Let g(b) = 5*b. Let z(p) = -p - 1. Let v(k) = g(k) + 6*z(k). Let x be v(-10). Determine q so that x*q**2 - q**2 - 2*q**2 - q**4 + 0*q**2 = 0.
-1, 0, 1
Let f(k) be the second derivative of -k**7/1260 - k**6/180 - k**5/60 + k**4/6 + 7*k. Let o(q) be the third derivative of f(q). Factor o(t).
-2*(t + 1)**2
Let b(j) = j**5 - 2*j**2 - 2*j + 1. Let l(c) = -3*c**5 - 11*c**4 - 24*c**3 - 24*c**2 - 12*c - 4. Let x(s) = b(s) + l(s). Determine m so that x(m) = 0.
-3/2, -1
Let x be 263/(-896) - (-7 - -7). Let l = -1/128 - x. Factor l*b**3 + 0*b + 6/7*b**2 - 8/7.
2*(b - 1)*(b + 2)**2/7
Let i(l) = 3*l**2 - 32*l + 129. Let q(c) = -c + 1. Let u(t) = t**2 + 3*t - 2. Let y(n) = 3*q(n) + u(n). Let f(r) = i(r) - y(r). Find g such that f(g) = 0.
8
Suppose -19/3*u**2 + 2/3 + 17/3*u = 0. What is u?
-2/19, 1
Let q(x) be the third derivative of 0*x**3 + 0*x - 1/330*x**5 + 0 - 1/132*x**4 - 7*x**2. Factor q(w).
-2*w*(w + 1)/11
Let p(v) be the first derivative of 2*v**3/21 + 50*v**2/7 + 1250*v/7 - 30. Determine d so that p(d) = 0.
-25
Let i be 5/(-2)*6/(-15). Let d(l) = -l**2 - l + 1. Let k(n) = -4*n**2 - 3*n + 4. Let o(m) = i*k(m) - 3*d(m). Let o(q) = 0. What is q?
-1, 1
Let i be 30/(-3)*((-1)/(65/663) - -10). Find w, given that 169/2 + 1/2*w**i + 13*w = 0.
-13
Let m = 13 - 12. Let i(l) = -2*l**2 + 2*l - 8. Let a(p) = -1. Let v(y) = m*i(y) - 12*a(y). Factor v(o).
-2*(o - 2)*(o + 1)
Find t such that 32/9*t**4 + 40/9*t**3 + 0 - 32/9*t**2 - 4/9*t - 4*t**5 = 0.
-1, -1/9, 0, 1
Let i(h) = 5*h**3 - 23*h**2 + 48*h + 13. Let n(a) = 5*a**3 - 22*a**2 + 51*a + 12. Let u(r) = 6*i(r) - 5*n(r). Determine x so that u(x) = 0.
-2/5, 3
Find b, given that -1024/7 - 2/7*b**3 - 640/7*b - 68/7*b**2 = 0.
-16, -2
Suppose -16 = 4*f, -x - 8*f = -6*x + 47. Factor -9/4*h**x - 3/2 - 21/4*h - 6*h**2.
-3*(h + 1)**2*(3*h + 2)/4
Let v = 9398 + -9394. Factor -26/3*u**2 - 2/3*u**4 + 8*u - 8/3 + v*u**3.
-2*(u - 2)**2*(u - 1)**2/3
Let g be (-2 - 323/238) + (-7)/(-2). Factor -g*t**2 + 5/7*t + 0.
-t*(t - 5)/7
Let b(u) be the first derivative of u**5/35 - 5*u**4/7 + 26*u**3/7 + 110*u**2/7 + 121*u/7 - 33. Factor b(p).
(p - 11)**2*(p + 1)**2/7
Factor 370*r**2 + 390*r**2 - 792*r**2 - 10*r - 4*r**4 - 20*r**3 - 6*r.
-4*r*(r + 1)*(r + 2)**2
Let w(c) be the third derivative of -c**5/30 - 3*c**4/8 + 4*c**3/3 + 4*c**2. Let n be w(-5). Factor 3*m + 2*m**2 + 1/3*m**n + 0.
m*(m + 3)**2/3
Let o(a) be the first derivative of -a**3/3 + 5*a**2/2 - 6*a + 144. Factor o(g).
-(g - 3)*(g - 2)
Suppose -5*t = -2*t + 4*t - 168. Solve -18 - 3/2*f**3 - t*f - 21/2*f**2 = 0 for f.
-3, -2
Let s(h) be the second derivative of h**6/30 - 2*h**5/15 - 18*h**2 - 12*h. Let y(k) be the first derivative of s(k). Determine j so that y(j) = 0.
0, 2
Suppose -7*n = -5*r - 2*n, 0 = r - 2*n + 4. Factor -18*z - 26*z + 42*z + r*z**2 - 4 + 2*z**3.
2*(z - 1)*(z + 1)*(z + 2)
Let o(j) be the first derivative of -50*j + 10/3*j**2 - 30 - 2/27*j**3. Suppose o(a) = 0. Calculate a.
15
Let r(b) be the second derivative of b**5/5 + 9*b**4 - 56*b**3/3 + 17*b + 6. Suppose r(z) = 0. What is z?
-28, 0, 1
Let m(l) be the second derivative of l**4/6 - 10*l**3/3 + 3*l**2/2 + 27*l. Let d(h) = 25*h**2 - 260*h + 40. Let x(k) = -3*d(k) + 40*m(k). Solve x(z) = 0 for z.
0, 4
Solve -6/7*y**2 + 0 + 4/7*y**3 + 2/7*y**4 + 0*y = 0.
-3, 0, 1
Let h(g) be the third derivative of 0*g**5 + 16*g**2 + 0*g**3 - 1/24*g**4 + 1/120*g**6 + 0 + 3*g. Suppose h(v) = 0. Calculate v.
-1, 0, 1
Let c(m) be the first derivative of -9*m**5/40 - 17*m**4/8 + 2*m**3 - 31*m**2/2 + 37. Let s(r) be the second derivative of c(r). Factor s(k).
-3*(k + 4)*(9*k - 2)/2
Let z(l) = 1. Let g(m) be the third derivative of m**5/20 + m**3/6 + 17*m**2. Let d(v) = -g(v) + z(v). Factor d(r).
-3*r**2
Let j(g) be the second derivative of g**7/210 - 7*g**6/360 + g**5/60 + 7*g**4/12 + 9*g. Let y(a) be the third derivative of j(a). Solve y(x) = 0.
1/6, 1
Let v(q) = 6*q**2 + 30*q - 53. Let g(u) = u**2 + 5*u - 9. Let h(n) = 34*g(n) - 6*v(n). Factor h(o).
-2*(o - 1)*(o + 6)
Factor 32*u**3 + 7*u**5 + 4*u**4 - 53*u**2 + 6*u**4 + 10*u**4 - 3*u**5 + 69*u**2.
4*u**2*(u + 1)*(u + 2)**2
Let q(z) be the second derivative of z**7/70 - 27*z**6/50 + 9*z**5/4 - 73*z**4/20 + 12*z**3/5 - 295*z. Factor q(v).
3*v*(v - 24)*(v - 1)**3/5
Let y(z) be the first derivative of -2*z**5/15 + 23*z**4/6 - 62*z**3/3 - 455*z**2/3 - 676*z/3 - 300. Solve y(t) = 0.
-2, -1, 13
Factor 2/3*s**2 + 70/3*s - 24.
2*(s - 1)*(s + 36)/3
Let n(b) be the second derivative of -5/36*b**4 + 0 + 1/15*b**5 - 1/90*b**6 + 1/9*b**3 + 0*b**2 - 14*b. Let n(l) = 0. Calculate l.
0, 1, 2
Let k(x) = -3*x**5 + x + 1. Let l(q) = 8*q**5 + 9*q**3 - 3*q - 3. Let z(o) = -3*k(o) - l(o). Let z(i) = 0. Calculate i.
-3, 0, 3
Let l(k) be the second derivative of -6*k**7/7 - 86*k**6/15 + 2*k**5 + 107*k + 2. Factor l(u).
-4*u**3*(u + 5)*(9*u - 2)
Suppose 3 = 3*h - 12. Suppose 3*a - h*i - 14 = 0, 3*a + 3*i - 6 = -0*a. Factor 6*m**2 + 2*m**a + 5*m - 5*m - 8.
2*(m - 1)*(m + 2)**2
Let y(c) = c**3 + 7*c**2 - 19*c - 10. Let g be y(-9). Let l be (21/3)/g*8/(-28). Suppose -2/7 + 0*j + 2/7*j**l = 0. Calculate j.
-1, 1
Suppose -5*i + 2 = -23. Determine r so that -6*r - 2*r**3 + 4*r + 2*r**i + 3*r - r**5 = 0.
-1, 0, 1
Let m be (-44)/(-3 + 1) + 4 + -5. Suppose 2*w - m = -3*y, -4*y - 5*w + 39 - 4 = 0. Solve 0*p**3 + 4/5*p**4 + 0 + 0*p + 0*p**2 - 4/5*p**y = 0 for p.
0, 1
Let 2/5*g**2 + 8 + 24/5*g = 0. Calculate g.
-10, -2
Let h = 62/43 + -515/387. Let j(b) be the first derivative of 1/36*b**6 - 5/12*b**2 + h*b**3 + 1/3*b + 9 - 2/15*b**5 + 1/6*b**4. Factor j(m).
(m - 2)*(m - 1)**3*(m + 1)/6
Let p = -3 - -42. Let l be -3 + 0 + 130/p. Factor l*f + 0 + 1/2*f**2 + 1/6*f**3.
f*(f + 1)*(f + 2)/6
Factor 12/5 + 4/5*j**2 - 16/5*j.
4*(j - 3)*(j - 1)/5
Let a(m) be the first derivative of 22/15*m**3 - 72/5*m + 36 - 24/5*m**2 - 1/10*m**4. Factor a(z).
-2*(z - 6)**2*(z + 1)/5
Let a(y) be the third deriva