-1/60*c**6 + c - 1/84*c**7 + t*c**4 - 1/4*c**2 - 1/12*c**3 + 1/20*c**5 + 0. Solve d(r) = 0.
-1, 1
Let k(t) be the third derivative of -t**5/210 + t**4/28 - 2*t**3/21 + 9*t**2. Determine s so that k(s) = 0.
1, 2
Let r(c) = -c**2 - 8*c - 9. Suppose 4*w + 0 = -24. Let h be r(w). Find i such that i + 0 - i**h + 3*i**2 + 0*i**3 - i**4 - 2 = 0.
-2, -1, 1
Let i = 3 + -5. Let q be 1/(i/8*-2). Let -4*n - 3 + 5 - 3*n**q + n**2 + 4*n**2 = 0. What is n?
1
Let j(p) be the second derivative of -5*p**7/42 + p**6/6 + p**5/4 - 5*p**4/12 - 40*p. Solve j(h) = 0.
-1, 0, 1
Let 2/11*c**3 + 2/11*c**5 + 0*c**2 + 4/11*c**4 + 0 + 0*c = 0. Calculate c.
-1, 0
Let n be -3*(119/30 + -4). Let v(w) be the second derivative of -1/15*w**6 + 0*w**2 - n*w**5 + 0*w**3 + 0 + 2*w + 0*w**4. What is k in v(k) = 0?
-1, 0
Let j be -5 + 3 - 9*-1. Suppose 4*o - w - j = 0, 0 = o - w + 2. Find t such that -2/3*t**2 + 2/3*t**4 + 2/3*t - 2/3*t**o + 0 = 0.
-1, 0, 1
Let i(l) be the third derivative of -l**9/7560 + l**8/1680 - l**6/180 + l**5/60 - l**4/24 + l**2. Let f(g) be the second derivative of i(g). Factor f(u).
-2*(u - 1)**3*(u + 1)
Let l = -596 - -1790/3. Factor l*t**2 - 8/3 + 0*t.
2*(t - 2)*(t + 2)/3
Let o = -2/33 - -13/33. Factor 0 - o*z**2 - 1/3*z.
-z*(z + 1)/3
Let c be (9/2)/(3/(-12)). Let h be (-2)/(-6) + (-48)/c. Find j, given that -4*j**2 - 8*j**h - 10*j**5 + 6*j**3 + 19*j**4 - 3*j**4 = 0.
-2/5, 0, 1
What is x in 0 + 8/3*x**3 + 4/3*x**4 + 4/3*x**2 + 0*x = 0?
-1, 0
Let o be (3 - (1 + -2))/2. Let l(n) = n**3 - 5*n**2 + 7*n - 5. Let j be l(5). Suppose g + 2*g - 7*g - 2*g**o - j*g**5 + 34*g**3 + 2*g**4 = 0. What is g?
-1, -1/3, 0, 2/5, 1
Let w(p) be the first derivative of 0*p + 2/15*p**3 + 1/10*p**4 - 2/25*p**5 - 1/15*p**6 + 4 + 0*p**2. Factor w(z).
-2*z**2*(z - 1)*(z + 1)**2/5
Let d be 1/10 + 13*(-22)/(-715). Suppose d*r - 1/4*r**2 - 1/4 = 0. Calculate r.
1
Let h(j) = -2*j**2 - 3*j - 5. Let g(f) = f**2 - f + 1. Let u(m) = g(m) + h(m). Factor u(v).
-(v + 2)**2
Let y = 7 - 9. Let s = y + 5. Solve -3*c - c**2 + 3*c - c**s = 0 for c.
-1, 0
Let r = 12 - 6. Let p be (2/(-6))/((-10)/r). Solve 1/5*g**2 + p*g + 0 = 0.
-1, 0
Factor -5*v**2 + 7 + 10 - 22 + 10*v.
-5*(v - 1)**2
What is s in 4/7*s**5 + 0*s - 4/7*s**3 - 12/7*s**2 + 0 + 12/7*s**4 = 0?
-3, -1, 0, 1
Factor 22/15*q + 4/15 + 8/5*q**2 - 6/5*q**3.
-2*(q - 2)*(3*q + 1)**2/15
Let r = -4 + 7. Suppose 0 = 4*s - 5*s + r. Determine b, given that 2 - b**4 - 2 + b**s = 0.
0, 1
Let w be ((-5)/2 - -2)*-10. Determine c, given that c**5 + w*c**3 - 4*c - 2*c**3 + 0*c**3 - 4*c**2 + 4*c**4 = 0.
-2, -1, 0, 1
Let v be (-2122)/(-198) - 3 - 3. Let b = -47/11 + v. Let 2/9*k**2 - b*k**3 + 2/9*k**4 + 0 + 0*k = 0. Calculate k.
0, 1
Let w = 51 + -49. Factor 1/4*b**3 + 0*b**w - 1/4*b + 0.
b*(b - 1)*(b + 1)/4
Let t be (-4)/(3/(84/(-8))). Let q = t + -10. Factor -4/5 - 14/5*r - 18/5*r**2 - 2*r**3 - 2/5*r**q.
-2*(r + 1)**3*(r + 2)/5
Let y(z) be the third derivative of 0*z**4 + 0*z + 0*z**3 + 0 - 1/60*z**6 - 11*z**2 + 1/30*z**5. Determine r, given that y(r) = 0.
0, 1
Suppose -3*f - 4 = -1. Let d be 6/(-9)*1/f. Solve -1/3 + 2/3*g**3 + 1/3*g**2 - d*g = 0.
-1, -1/2, 1
Suppose p = c + 2 - 0, -5*c = -3*p + 2. Let z = c + 0. What is t in -t**2 + 4*t + t**2 + t**z + 4 = 0?
-2
Let x(s) be the first derivative of 8*s**4/7 + 16*s**3/21 - s**2 + 2*s/7 + 61. Let x(f) = 0. Calculate f.
-1, 1/4
Let z be (-1 - -5) + 2/(-2). Determine d so that 4*d**2 - z*d**2 - 3*d**2 = 0.
0
Let u(l) be the first derivative of 9*l**4/16 - 11*l**3/4 + 19*l**2/8 - 3*l/4 - 20. Solve u(v) = 0 for v.
1/3, 3
Let c be (-7)/56*-4 - 2/4. Factor 1/2*f**4 - 1/4*f**5 + c*f**3 + 0 + 1/4*f - 1/2*f**2.
-f*(f - 1)**3*(f + 1)/4
Let b = 51 - 25. Let w(z) = -17*z**3 + 13*z**2 - 9*z + 13. Let f(q) = 4*q**3 - 3*q**2 + 2*q - 3. Let n(i) = b*f(i) + 6*w(i). What is v in n(v) = 0?
-1, 0, 1
Suppose 0*q + 16*q**3 + 0*q - 8*q**2 - 4*q**2 + 4*q**4 - 8*q**5 = 0. Calculate q.
-3/2, 0, 1
Let n(i) be the third derivative of 0*i - 1/360*i**6 - i**2 + 1/1008*i**8 + 0 + 1/630*i**7 + 0*i**3 - 1/180*i**5 + 0*i**4. Factor n(m).
m**2*(m - 1)*(m + 1)**2/3
Let c(k) be the third derivative of k**6/120 - k**4/8 + k**3/2 - 3*k**2. Let z be c(2). Factor -r**z + 6*r**2 - 22/3*r**3 - 7/3*r + 1/3 + 13/3*r**4.
-(r - 1)**4*(3*r - 1)/3
Let t(l) be the first derivative of 4/7*l + 1 - 24/35*l**5 + 4/7*l**4 - 9/7*l**2 + 6/7*l**3. Determine g so that t(g) = 0.
-1, 1/2, 2/3
Let l(s) be the third derivative of 2*s**2 + 0*s**3 + 0 + 1/45*s**5 + 4/945*s**7 + 0*s + 1/60*s**6 + 1/108*s**4. Factor l(v).
2*v*(v + 1)**2*(4*v + 1)/9
Let b = -635459/210 - -3026. Let c(x) be the third derivative of -1/42*x**4 + 0*x - b*x**5 - x**2 - 1/21*x**3 + 0. Find y such that c(y) = 0.
-1
Let k = 4/5 - 2/5. Factor 0 - 6/5*c**2 - k*c.
-2*c*(3*c + 1)/5
Let s(f) = -14*f**2 - 31*f + 16. Let b(x) = 3*x**2 + 6*x - 3. Let c(n) = -33*b(n) - 6*s(n). Factor c(h).
-3*(h + 1)*(5*h - 1)
Let l(n) = -6*n + 15. Let b(f) = 5*f - 14. Let h(i) = -5*b(i) - 4*l(i). Let w be h(6). Determine o so that -3*o**4 + 0*o**w + 6*o**2 - 3*o**2 = 0.
-1, 0, 1
Let d(u) be the first derivative of 2*u**5/55 + 5*u**4/22 + 6*u**3/11 + 7*u**2/11 + 4*u/11 + 1. Factor d(w).
2*(w + 1)**3*(w + 2)/11
Let f be ((-15)/(-6) - 3)*0. Suppose f = -3*t - 0*t + 6. Determine c so that -1 + 0 - t - 12*c - 12*c**2 = 0.
-1/2
Find a such that 6*a + 12 + 3*a**2 + 8 - 20 = 0.
-2, 0
Let n(h) be the first derivative of 2/21*h**3 + 1/7*h**4 + 0*h + 2 - 2/35*h**5 - 2/7*h**2. Solve n(w) = 0.
-1, 0, 1, 2
Let t(o) = -o**3 - o**2 - 13. Let h be t(0). Let b = -9 - h. Factor 0*k + k**3 + 0 - 3/2*k**b + 1/2*k**2.
-k**2*(k - 1)*(3*k + 1)/2
Let f(g) = 311*g**2 + 3*g - g - 41 - 2*g. Let m(c) = -52*c**2 + 7. Let v(h) = 6*f(h) + 34*m(h). What is l in v(l) = 0?
-2/7, 2/7
Let s(o) be the third derivative of -o**6/120 - o**5/20 - o**4/8 - o**3/6 - 9*o**2. Factor s(c).
-(c + 1)**3
Let k = -75 - -79. What is y in y**2 + 1/4*y + 3/2*y**3 + 0 + y**k + 1/4*y**5 = 0?
-1, 0
Determine w, given that -2/3*w**3 - w**2 + 2/3*w + 5/6 + 1/6*w**4 = 0.
-1, 1, 5
Let a be (-1)/(6/(-10) + (-5)/(-50)). Let l(q) be the first derivative of a + 3/4*q**2 - 1/4*q**3 + 0*q. Factor l(u).
-3*u*(u - 2)/4
Let n(t) = -t + 9. Let j be n(7). Solve -u**5 + 2*u**5 + 5*u**4 - u - 2*u**4 - u**4 - j*u**2 = 0 for u.
-1, 0, 1
Let p(u) be the second derivative of u**6/60 - u**5/6 + 7*u**4/12 - u**3 + 5*u**2/2 - 4*u. Let l(w) be the first derivative of p(w). Find d such that l(d) = 0.
1, 3
Factor 20*h + 5 + 28*h + 24*h**3 - 52*h**2 - 5*h**4 + h**4 - 21.
-4*(h - 2)**2*(h - 1)**2
Let d(h) = -h**3 + h**2 - h + 2. Let w be d(0). What is v in w*v**5 + 24/7*v - 38/7*v**3 + 8/7 + 18/7*v**4 - 26/7*v**2 = 0?
-2, -1, -2/7, 1
Find s, given that 1/2*s + 0 - 1/2*s**2 + 1/2*s**4 - 1/2*s**3 = 0.
-1, 0, 1
Suppose 3 = 4*f - 5. Find p such that 3*p**4 - 3*p**3 + 4*p + p**f - 4*p - p**5 + 0*p**3 = 0.
0, 1
Let n(j) = j**2 - j - 1. Let p(l) = -12*l**2 + 21*l + 18. Let o(h) = 15*n(h) + p(h). Solve o(i) = 0 for i.
-1
Let q(a) be the first derivative of 0*a + 3 + a**3 - 1/3*a**2. Factor q(u).
u*(9*u - 2)/3
Let r(z) be the second derivative of -z**6/165 - z**5/55 - z**4/66 - 3*z. Factor r(p).
-2*p**2*(p + 1)**2/11
Let c(h) be the third derivative of h**5/90 + h**4/36 - 2*h**3/9 + 12*h**2. Factor c(l).
2*(l - 1)*(l + 2)/3
Let z(n) be the first derivative of -3*n**4/4 + 8*n**3 - 24*n**2 - 25. Factor z(p).
-3*p*(p - 4)**2
Let h(m) = -m - 12. Let s be h(-14). Solve 32*j**s + 0*j - 30*j**2 - 4*j = 0.
0, 2
Let g(z) be the second derivative of z**7/28 - 13*z**6/60 + 2*z**5/5 - z**4/6 - 7*z. Let g(i) = 0. What is i?
0, 1/3, 2
Suppose -13*w - 4 = -30. Factor -1/2*f**w + 0 - f.
-f*(f + 2)/2
Let v(p) = -p**3 + 6*p**2. Let t be v(6). Suppose 2*l - 20 - 40 = t. Let -2 + l*h**2 + 24*h**4 - 53*h**3 + 4*h - 11*h**3 + 8*h**4 = 0. What is h?
-1/4, 1/4, 1
Let j = -18 - -31. Factor 5 - b**2 - 8*b - b**2 - j.
-2*(b + 2)**2
Let q(m) be the first derivative of -m**6/8 + 3*m**5/20 + 27*m**4/16 - 13*m**3/4 - 3*m**2 + 9*m + 13. Suppose q(v) = 0. Calculate v.
-3, -1, 1, 2
Let m = 167/295 + 2/59. Solve -m*x**2 + 0*x + 1/5*x**3 + 0 = 0.
0, 3
Let b(q) = -9*q**2 - 1. Let j(m) = 13*m**2 + 1. Let o(h) = -7*b(h) - 5*j(h). Factor o(g).
-2*(g - 1)*(g + 1)
Let a = -37 - -70. Let f = a - 97/3. Factor 0 + 0*m - f*m**2.
-2*m**2/3
Let t(g) be the secon