 5*g**3/3 - g**2. Let n(i) = 0. Calculate i.
1, 2
Suppose 0*s + 4*s - 12 = -m, -2*s - 3*m = -16. Let z be (-30)/(-12) + (-4)/s. Factor -c**2 + z*c + 0.
-c*(2*c - 1)/2
Let n(g) be the third derivative of 0 + 1/588*g**8 + 0*g**5 + 3*g**2 + 1/735*g**7 - 1/420*g**6 + 0*g**4 + 0*g**3 + 0*g. Solve n(z) = 0 for z.
-1, 0, 1/2
Let y(c) be the third derivative of c**8/10080 - c**7/2520 + c**5/30 + 3*c**2. Let u(m) be the third derivative of y(m). Factor u(o).
2*o*(o - 1)
Determine s, given that 0*s**3 + 0*s + 0*s**2 + 0 + 1/4*s**4 = 0.
0
Let p be 4/(-16) + (-26)/(-200). Let j = p + 13/25. Solve 2/5 - 4/5*d**2 + j*d**4 + 0*d + 0*d**3 = 0.
-1, 1
Solve -3*u + 5 - 3*u**2 + 3 - 8 = 0 for u.
-1, 0
Let n = 2/293 - -871/1172. Find r such that -n*r**2 - 3/4*r + 0 = 0.
-1, 0
Let u be (42/75775)/(6/(-12940)). Let j = 2/433 - u. Let -3/5*s**3 - 3/5*s + 0 + j*s**2 = 0. Calculate s.
0, 1
Let v(n) be the first derivative of 13/15*n**3 + 4/5*n + 3 + 1/25*n**5 + 3/10*n**4 + 6/5*n**2. Find o such that v(o) = 0.
-2, -1
Let m = -13487/11 + 1227. Factor 4/11*y + 0 - m*y**2.
-2*y*(5*y - 2)/11
Suppose -2*m + 3 = -7. Let n(r) be the third derivative of 2/15*r**m + 0 + 0*r + 0*r**4 + 1/21*r**7 - 2/15*r**6 + 0*r**3 - 1/168*r**8 + r**2. Factor n(v).
-2*v**2*(v - 2)**2*(v - 1)
Let i(a) be the first derivative of -3*a**5/5 + 3*a**4/2 - a**3 - 1. Factor i(x).
-3*x**2*(x - 1)**2
Let f(z) = z**3 - 19*z**2 + 20*z - 11. Let n(c) = 4*c**3 - 96*c**2 + 100*c - 56. Let h(r) = -16*f(r) + 3*n(r). Factor h(k).
-4*(k - 2)*(k - 1)**2
Let m be (2 + (-1)/1)*3. Factor -5*d + 11*d - m*d**2 - 3 + 0*d**2.
-3*(d - 1)**2
Let m(s) be the first derivative of -3*s**5/2 - 13*s**4/8 + s**3/3 - 38. Solve m(h) = 0 for h.
-1, 0, 2/15
Suppose 5*h + 3*x - 21 = -x, 5*x - 25 = -5*h. Let y be (-1)/(-2)*0/h. Factor -2/3*u**4 + 2*u**3 + 2/3*u - 2*u**2 + y.
-2*u*(u - 1)**3/3
Let w(z) be the first derivative of 2*z**3/15 + 4*z**2/5 + 6*z/5 - 7. Let w(y) = 0. Calculate y.
-3, -1
Find y, given that -43*y + y**2 - y**4 - 39*y + 3*y**3 + 79*y = 0.
-1, 0, 1, 3
Determine a, given that -2/3*a**4 + 8/3*a**2 + 7/3*a + 2/3 + 2/3*a**3 - 1/3*a**5 = 0.
-1, 2
Let k(v) be the first derivative of v**5/10 + v**4/6 - v**3/3 - v**2 + 2*v - 1. Let r(o) be the first derivative of k(o). Factor r(n).
2*(n - 1)*(n + 1)**2
Suppose -5*x = -x - 40. Let o = x + -5. Suppose o*z - 2*z**3 + 0*z - 3*z = 0. What is z?
-1, 0, 1
Suppose -4*j - z + 11 = -0*j, -5*j + 3*z = -18. Suppose 4*u + 0*d - 8 = d, -3*u + j*d + 6 = 0. Factor 2 + 1/2*i**u + 2*i.
(i + 2)**2/2
Let a(u) be the second derivative of u**7/105 + 2*u**6/75 + u**5/50 + 14*u. Solve a(c) = 0.
-1, 0
Suppose -s = -4 + 2. Factor 4*r + r**2 + 3*r**2 - s*r + 2*r**3.
2*r*(r + 1)**2
Let s(k) = k - 1. Suppose 3*u - 2*u = f + 9, 4*u - 42 = 5*f. Let q(g) = g**2 - g + 2. Let t(p) = f*s(p) - 3*q(p). Factor t(r).
-3*r*(r + 1)
Let o(f) be the first derivative of -2*f**5/15 - 2*f**4/3 + 2*f**3/9 + 4*f**2/3 - 10. Suppose o(a) = 0. Calculate a.
-4, -1, 0, 1
Let t(u) be the third derivative of u**7/2100 - u**5/300 - 5*u**3/6 + 6*u**2. Let k(r) be the first derivative of t(r). Factor k(n).
2*n*(n - 1)*(n + 1)/5
Suppose -s - z = -2*s + 1, 3*s + 2*z - 13 = 0. Find r, given that 2*r - 4*r**s - 3 + 3 + 3*r**5 - r**5 = 0.
-1, 0, 1
Let y = 10607/21 + -505. Let c(z) be the first derivative of -1/14*z**4 - 2/35*z**5 + 1/7*z**2 + 0*z + y*z**3 + 2. What is r in c(r) = 0?
-1, 0, 1
Let r(l) be the third derivative of l**5/100 - 3*l**4/20 + 9*l**3/10 - 4*l**2. Factor r(b).
3*(b - 3)**2/5
Let w = 1/195 - 9902/65. Let u = -151 - w. Solve -2*d**2 + 2/3*d**4 + 8/3 - 8/3*d + u*d**3 = 0 for d.
-2, 1
Let s(y) = 5*y**5 + 2*y**4 - 31*y**3 + 44*y**2 - 22*y + 14. Let g(x) = x**5 - x**4 - x**3 + x**2 + x + 1. Let a(d) = -6*g(d) + s(d). Factor a(m).
-(m - 2)**3*(m - 1)**2
Factor -1/4*x**3 + 3/2 + x**2 + 11/4*x.
-(x - 6)*(x + 1)**2/4
Let d(m) = m. Let c(n) = -2*n - 3*n + 4*n + n**2 + 4. Let k(j) = -c(j) - 5*d(j). Factor k(f).
-(f + 2)**2
Factor 4/7*d**3 + 8/7*d**2 - 16/7*d - 2/7*d**4 + 0.
-2*d*(d - 2)**2*(d + 2)/7
Let c(d) be the second derivative of -d**5/10 + d**4/6 + 2*d**3/3 + 7*d. Factor c(z).
-2*z*(z - 2)*(z + 1)
Let r(z) be the first derivative of z**3/7 - 6*z**2/7 + 9*z/7 - 5. Factor r(s).
3*(s - 3)*(s - 1)/7
Factor 2/3 - 5/3*a**2 - a.
-(a + 1)*(5*a - 2)/3
Let l(z) be the first derivative of 2*z**4/5 - 2*z**3/15 + 11. What is h in l(h) = 0?
0, 1/4
What is j in 0 + 18/11*j**3 - 2/11*j + 8/11*j**5 + 2/11*j**2 + 2*j**4 = 0?
-1, 0, 1/4
Let g be 102/(-18)*1*-1. Let r = 19/3 - g. What is v in -r*v**3 + 0 - 8/3*v**2 - 8/3*v = 0?
-2, 0
Let f(g) be the second derivative of 25*g**7/42 - 7*g**6/3 + 69*g**5/20 - 7*g**4/3 + 2*g**3/3 + g. Solve f(n) = 0.
0, 2/5, 1
Let k be 1/(-1) - 35/(-28). Factor -k*n**5 + 0*n**2 + 0 + 1/4*n**4 + 0*n**3 + 0*n.
-n**4*(n - 1)/4
Factor 2*q**3 + 1 + 5*q**2 + 0*q**3 + 0*q**3 + 4*q.
(q + 1)**2*(2*q + 1)
Suppose -3*t = -3*f, 2*f + 8 = 3*f + 3*t. Suppose -4*q + 3*i - f = 2, 2*q = 2*i - 4. Factor 0 + 0*a + 2/5*a**4 + 2/5*a**q + 4/5*a**3.
2*a**2*(a + 1)**2/5
Let g(v) be the first derivative of -10*v**3/3 - 4*v**2 - 25. Find d, given that g(d) = 0.
-4/5, 0
Let g(v) be the first derivative of 6*v**5/5 - 21*v**4/4 + 7*v**3 - 3*v**2 - 4. Let g(b) = 0. What is b?
0, 1/2, 1, 2
Let v(m) = 4*m**2 - 7. Suppose 28 = 5*c - 7. Let l(t) = -2*t**2 - t + 3 + t. Let o(k) = c*l(k) + 3*v(k). Find r such that o(r) = 0.
0
Suppose -3/5*w**2 + 2/5*w**4 + 3/5*w**3 - 2/5*w + 0 = 0. What is w?
-2, -1/2, 0, 1
Let r(l) be the first derivative of 0*l**3 - 3/40*l**5 + 0*l**2 - 4*l + 3 + 0*l**4 + 1/20*l**6. Let j(q) be the first derivative of r(q). Factor j(x).
3*x**3*(x - 1)/2
Let b be (-4)/(-22) - 0 - (-16)/33. Determine a, given that -a + 1/3*a**2 + b = 0.
1, 2
Let z = -139 - -421/3. Factor 2/3 + 2/3*s**2 + z*s.
2*(s + 1)**2/3
Suppose -80*v + 4 + 6*v**2 - 4 + 71*v = 0. What is v?
0, 3/2
Suppose -11*o + 4 = -51. Let k(i) be the third derivative of 1/240*i**6 + 2*i**2 + 0 - 1/48*i**4 - 1/12*i**3 + 0*i + 1/120*i**o. Suppose k(u) = 0. Calculate u.
-1, 1
Let x(k) be the second derivative of k**10/151200 + k**9/75600 - k**4/4 + k. Let q(n) be the third derivative of x(n). Factor q(o).
o**4*(o + 1)/5
Let x(j) = -7*j**2 - 6*j + 6. Suppose 3*m - 33 = 5*u, -2*u - 16 = -m - 3*m. Let r(n) = -8*n**2 - 7*n + 7. Let w(q) = u*r(q) + 7*x(q). Factor w(b).
-b**2
Let q(k) = -5*k**3 + 4*k - 3. Let j be q(2). Let a be ((-12)/j)/(20/70). Factor 2/5 + 4/5*m**2 + a*m.
2*(m + 1)*(2*m + 1)/5
Let f(y) be the second derivative of y**5/240 + y**4/32 + y**3/12 + 3*y**2 + 4*y. Let r(l) be the first derivative of f(l). Determine h, given that r(h) = 0.
-2, -1
Let s(g) = 71*g**2 + 390*g + 503. Let z(o) = -o**2 - 1. Let n(b) = s(b) - 4*z(b). Let n(u) = 0. What is u?
-13/5
Let h(m) be the second derivative of -m**9/1008 - 3*m**8/560 - 3*m**7/280 - m**6/120 - m**3/6 - 5*m. Let j(q) be the second derivative of h(q). Factor j(f).
-3*f**2*(f + 1)**3
Let r(k) = 2*k**5 - 2*k**4 - 2*k**3. Let t(z) = 4*z**5 - 4*z**4 - 4*z**3 - z**2. Let a(x) = -5*r(x) + 2*t(x). Factor a(v).
-2*v**2*(v - 1)**2*(v + 1)
Let r(n) be the first derivative of 4/5*n**5 + 0*n + 0*n**4 + 0*n**2 - 3 - 4/3*n**3. Factor r(k).
4*k**2*(k - 1)*(k + 1)
Let b be -4*(-4)/(-8) - -4. Suppose -12*f**3 + 4*f + f - 2*f + f + 8*f**b = 0. What is f?
-1/3, 0, 1
Let w(q) = -3*q**3 - q**4 + 4*q**3 + 2 + 0*q**3 - 2*q + 0. Let f(y) = -5*y**4 + 4*y**3 - 9*y + 9. Let t(r) = -2*f(r) + 9*w(r). Solve t(c) = 0.
-1, 0
Let l(d) = -3*d**3 + d**2. Let r be l(-1). Determine f, given that -f**5 + f**4 - 3*f**5 + f**5 - 4*f**r = 0.
-1, 0
Let a(o) be the first derivative of -o**3/4 - 9*o**2/8 - 3*o/2 - 6. Factor a(h).
-3*(h + 1)*(h + 2)/4
Let p(l) = 3*l**5 - 3*l**4 + 6*l**3 + 6*l + 6. Let j(t) = 3*t**5 - 2*t**4 + 5*t**3 + 5*t + 5. Let o(g) = -6*j(g) + 5*p(g). Suppose o(c) = 0. Calculate c.
-1, 0
Let w(l) = -8*l**2 + 5*l + 8. Let p(b) = -44*b**2 + 28*b + 44. Let x(h) = -5*p(h) + 28*w(h). Suppose x(v) = 0. Calculate v.
-1, 1
Let t(h) = -h**2 + 13*h - 3. Let j be t(8). Let m = j - 110/3. Factor -m*v**2 - 2/3*v - 1/3.
-(v + 1)**2/3
Let t be 34/(-10) - 21/35. Let q = -2 - t. What is r in -6/7*r**q - 10/7*r - 4/7 = 0?
-1, -2/3
Let i(j) be the second derivative of j**4/78 + 2*j**3/13 + 5*j**2/13 - 18*j. Find u, given that i(u) = 0.
-5, -1
Let c = -96 + 