*y + 2/7*d**3 - 2/7*d - 2/7 = 0.
-1, 1
Let b(c) = -c**2 + 5*c - 4. Let t be b(4). Let l(r) be the third derivative of 1/30*r**5 + 0*r**3 + t*r + 0 + 1/6*r**4 - 2*r**2. Factor l(x).
2*x*(x + 2)
Suppose 0 = -0*c - 4*c + 20. Suppose -4*p + c = -3. Factor 2/7*f**p + 0*f + 0 - 2/7*f**3.
-2*f**2*(f - 1)/7
Let o be (56/(-8) + 7)/(-2 + -1). Let u(m) be the first derivative of o*m + 0*m**3 + 1/10*m**2 - 1/20*m**4 + 2. Let u(h) = 0. Calculate h.
-1, 0, 1
Let k(h) be the second derivative of 4/13*h**2 + 0 + 4/39*h**3 - 3*h + 1/78*h**4. Find n such that k(n) = 0.
-2
Find l, given that 0 + 4/7*l - 2/7*l**2 = 0.
0, 2
Let m be ((-9)/12)/(1/(-4)). Let q be (2/5)/(m/75). Solve 0*y**5 + 20*y**2 + 10*y**4 + q*y + 2 + 3*y**5 + 20*y**3 - y**5 = 0 for y.
-1
Let o(q) = -q**3 + 6*q**2 + 6*q + 10. Let f be o(7). Let c(w) be the second derivative of -1/42*w**4 - w - 2/21*w**f - 1/7*w**2 + 0. Let c(l) = 0. What is l?
-1
Let x(k) = -18*k**2 + 21*k + 24. Let i(c) = -c**2 + c + 1. Let h(a) = -15*i(a) + x(a). Factor h(j).
-3*(j - 3)*(j + 1)
Let j(a) be the second derivative of a**4/30 + a**3/3 + 4*a**2/5 - 11*a. Let j(k) = 0. Calculate k.
-4, -1
Let 76*n**2 - 80*n**2 - 8*n**4 + n**3 - 11*n**3 - 2*n**5 = 0. What is n?
-2, -1, 0
Let j(o) be the first derivative of -7 + 6/5*o**2 + 2/15*o**3 + 18/5*o. Factor j(t).
2*(t + 3)**2/5
Suppose 0 = -2*b + 2*w + 50, -4*b - 2*w + 45 + 55 = 0. Suppose b = 5*u - 3*s + 6, 5*u + 5*s = -5. Let 1 - 2*l - 2 + 0*l - l**u = 0. What is l?
-1
Solve -f**2 + 221 + 2*f**2 - 18*f - 140 = 0 for f.
9
Let c(n) be the third derivative of n**6/270 - n**4/54 - 15*n**2. What is h in c(h) = 0?
-1, 0, 1
Let o(n) = -n**2 - 2*n + 9. Let x(z) = -z**2 - z + 8. Let l(g) = -4*o(g) + 5*x(g). Determine v, given that l(v) = 0.
-1, 4
Suppose -7*h = 4*l - 2*h + 4, h - 4 = 0. Let u = l - -8. Factor 1/4 + c + 3/4*c**u.
(c + 1)*(3*c + 1)/4
Suppose -i = 2*i. Let t = 2 - i. Solve h**4 - 2*h**3 + 2*h**3 + 0*h**3 - t*h**3 = 0.
0, 2
Factor -4 - 6*w**2 + 3*w**3 - 21*w + 1 - 9 + 0.
3*(w - 4)*(w + 1)**2
Let r be (-28 - 1)*(-35)/(-28). Let i = -36 - r. What is y in -i*y + 0 + 1/4*y**2 = 0?
0, 1
Let g(b) = 5*b**3 + 13*b**2 - 13*b + 2. Let q(h) = -2*h**3 - 6*h**2 + 6*h - 1. Suppose -2*r + 14 = -0*r. Let u(j) = r*q(j) + 3*g(j). Let u(y) = 0. Calculate y.
1
Let o(c) be the first derivative of -2/3*c**3 + 0*c - 2*c**2 + 6/5*c**5 + 6 + 2*c**4. Factor o(p).
2*p*(p + 1)**2*(3*p - 2)
Let p(j) = j**3 - 6*j**2 + 6*j - 3. Let t = -10 - -15. Let x be p(t). Let 2 - 2*c + 1/2*c**x = 0. Calculate c.
2
Let g(i) be the third derivative of 2*i**7/105 - i**5/5 - i**4/3 + 38*i**2. Factor g(b).
4*b*(b - 2)*(b + 1)**2
Let r(p) = 53*p + 5. Let f be r(-5). Let q = 989 + f. Suppose -108*v - 3 + 158*v**2 + 11 + 328*v**2 - q*v**3 = 0. Calculate v.
2/9
Suppose 5*o + 10 = -4*t, -o = -t + 4*t + 13. Let j(d) = d + 7. Let l be j(t). Factor -4*x + 2 + 4*x**2 - 3*x**2 + x**l.
2*(x - 1)**2
Let u be 39/(-39)*(-1)/6. Determine i so that 1/3*i**2 - u*i**5 + 1/3*i**3 - 1/6*i - 1/6 - 1/6*i**4 = 0.
-1, 1
Suppose 4 = 4*r - 2*r. Factor 0*s + 2/3*s**2 + 0 - r*s**3 + 2*s**4 - 2/3*s**5.
-2*s**2*(s - 1)**3/3
Let a(g) be the first derivative of 3*g**5/20 - 3*g**4/16 - 3*g**3/4 + 15*g**2/8 - 3*g/2 - 3. Find l, given that a(l) = 0.
-2, 1
What is v in -24*v + 6*v**2 + v**2 - 10*v**2 - 48 = 0?
-4
Let v(d) = d**2 - 6*d + 8. Suppose o + 0 = -4*p + 13, p - o - 7 = 0. Let s be v(p). Factor -1/4*w**3 + 0*w**2 + 0*w**4 + s + 1/4*w**5 + 0*w.
w**3*(w - 1)*(w + 1)/4
Let f(q) = 8*q**2 + 56*q. Let o be f(-7). Determine z so that 0*z**4 + 0*z - 2/5*z**3 + 0 + o*z**2 + 2/5*z**5 = 0.
-1, 0, 1
Let n be ((-2)/4 - 0)*-8. Solve q**4 - 2*q**n + 0*q**4 - q + q**2 + q**3 = 0.
-1, 0, 1
Suppose -4*h = -3*v + h + 24, h = -v. Factor 0 + 84*r**v - 80*r**3 - 16*r**2 - 8 + 20*r.
4*(r - 2)*(r - 1)**2
Suppose -q + 4 = -h, 3*h + 5*q + 3 = -1. Let l be 0 - -1 - (-1)/h. Factor -2/3*a**2 - l*a**4 + 0 + 0*a + 4/3*a**3.
-2*a**2*(a - 1)**2/3
Let s be -2 + (-19)/(-4) + 3/(-4). Factor 54/5 - 2/5*z**3 + 18/5*z**s - 54/5*z.
-2*(z - 3)**3/5
Let v(r) = -2*r**4 + 6*r**3 - 4*r**2 - 4*r - 4. Let g(a) = a**4 - 1 - a**2 - 2*a**4 + 2*a + a**3 - 3*a + 0*a**4. Let w(d) = -4*g(d) + v(d). Solve w(l) = 0.
-1, 0
Let n(o) be the first derivative of 1/2*o**4 + 0*o - 2 + 0*o**2 - 2/3*o**3. Find j such that n(j) = 0.
0, 1
Suppose 3*w + w = 24. Let i(n) = -n**3 - 35*n**2 - 97*n - 28. Let c be i(-32). Determine q so that 0 + 9/2*q**2 + w*q**3 + 3/4*q - 27/4*q**5 - 9/2*q**c = 0.
-1, -1/3, 0, 1
Suppose m = -2*m + 6. Suppose -7*i**3 + 3*i**3 - 4*i**4 + 0*i**3 + 2*i**4 - m*i**2 = 0. What is i?
-1, 0
Let j(u) = -51*u**3 + 123*u**2 + 131*u - 53. Let h(a) = 25*a**3 - 61*a**2 - 65*a + 27. Let f(q) = -5*h(q) - 3*j(q). Factor f(p).
4*(p - 3)*(p + 1)*(7*p - 2)
Let p be (-2 + 1 + 0)*-3. Suppose -2*w + 1 = -p. Solve 0 + 1/2*h**3 + 1/4*h**w + 0*h + 1/4*h**4 = 0 for h.
-1, 0
Determine d so that 18 + 10 - 18*d - 4*d**3 - 16*d**2 + 36 + 34*d = 0.
-4, -2, 2
Let f be (-28)/(-95) + 76/722. Suppose 5*j + n = -2*n + 22, 4*j + n - 12 = 0. Let f*o**3 + 4/5*o**4 - 2/5*o - 6/5*o**j + 2/5 = 0. Calculate o.
-1, 1/2, 1
Let m be (-3)/(-1) + 3/6*-3. Find q, given that 0*q + 3/2 - m*q**2 = 0.
-1, 1
Find u, given that -3*u - u - 2 - 3*u - u**2 + 4*u = 0.
-2, -1
What is h in 0 - 2/11*h**2 + 4/11*h = 0?
0, 2
Let q(b) be the third derivative of -1/180*b**5 - 1/1008*b**8 + 0*b - 1/210*b**7 - 1/120*b**6 + 0*b**4 + 0*b**3 - 2*b**2 + 0. Let q(z) = 0. Calculate z.
-1, 0
Let p(t) be the third derivative of -t**7/420 + t**6/90 + t**5/60 - t**4/6 + 2*t**3/3 + t**2. Let a(b) be the first derivative of p(b). Let a(r) = 0. What is r?
-1, 1, 2
Let s be (1*-4)/(-2) - -2. Factor 2*c**2 + c**3 + 5*c - s*c + 0*c**2.
c*(c + 1)**2
Solve 25*k + 8*k**4 - 4*k**2 - 3*k**4 - 6*k**3 - 19*k - 1 = 0.
-1, 1/5, 1
Factor 8*t**2 - 8 - 4*t - 2 + 4*t**3 + 2.
4*(t - 1)*(t + 1)*(t + 2)
Let y(z) = z**2 - 4*z - 1. Let l be y(5). Factor 4*w - 4*w**2 + l - 4*w**3 - w**3 - w**3 + 2*w**3.
-4*(w - 1)*(w + 1)**2
Suppose -f = 4*f. Let o(c) be the third derivative of 1/420*c**6 + f + 1/105*c**5 + 0*c + 3*c**2 + 1/84*c**4 + 0*c**3. Factor o(v).
2*v*(v + 1)**2/7
Let o(g) be the second derivative of -1/30*g**5 + g**2 + 2/3*g**3 - 1/12*g**4 + 3*g + 0. Let j(u) be the first derivative of o(u). Suppose j(t) = 0. What is t?
-2, 1
Let n(p) be the third derivative of -p**8/168 + 4*p**7/105 - p**6/10 + 2*p**5/15 - p**4/12 - 6*p**2. Find m, given that n(m) = 0.
0, 1
Factor -16*z - 2/3*z**2 - 32/3 + 4*z**3 - 2/3*z**4.
-2*(z - 4)**2*(z + 1)**2/3
Solve 5*m**2 - 10*m**3 - 2*m**4 + 8*m**3 + 9*m**2 - 10*m**3 = 0 for m.
-7, 0, 1
Suppose -10*s + 7*s + 6 = 0. Solve -3 + 8*g**2 + s*g + 5*g + 1 - g = 0 for g.
-1, 1/4
Let s = 58 - 32. Let c be -3 - (s/(-8) - 0). Factor 0*b + 0 + 1/4*b**4 - 1/4*b**3 - 1/4*b**2 + c*b**5.
b**2*(b - 1)*(b + 1)**2/4
Let k(n) = -8*n**2 - 12. Let f(l) = l**2 + 1. Let o(d) = -12*f(d) - k(d). Determine r so that o(r) = 0.
0
Let r(x) be the second derivative of x**6/45 - x**4/9 + x**2/3 - 7*x. Suppose r(k) = 0. Calculate k.
-1, 1
Let s(u) be the third derivative of u**7/1260 - u**6/180 + u**5/60 - u**4/24 + 3*u**2. Let k(j) be the second derivative of s(j). Let k(a) = 0. Calculate a.
1
Suppose 3*k - o = 11, -4*k - 4*o = -2*k + 2. Factor -1/3*p**2 + 1/3 + 1/3*p - 1/3*p**k.
-(p - 1)*(p + 1)**2/3
Let u(k) be the second derivative of k**7/378 - k**5/180 - 5*k. Find n such that u(n) = 0.
-1, 0, 1
Let c(o) = 4*o**2 - 54*o + 26. Let z be c(13). Factor z*l + 3/4*l**2 - 3.
3*(l - 2)*(l + 2)/4
Factor 6*b**2 + 12*b**3 - 2*b - 8*b**3 - 2*b**3 - 6*b**3.
-2*b*(b - 1)*(2*b - 1)
Let -31*j + 62*j**2 - 8 - 49*j + 32 - 14*j**3 = 0. What is j?
3/7, 2
Solve -9*r**4 + r**2 + 8*r**2 + 395*r**5 - 380*r**5 + 6*r - 21*r**3 = 0.
-1, -2/5, 0, 1
Let o = 15 - 13. Factor -o*t**3 - 285 + 285 - 2*t**2.
-2*t**2*(t + 1)
Let u(v) be the third derivative of v**5/420 - v**4/84 + v**3/42 + 25*v**2. Factor u(j).
(j - 1)**2/7
Let p(d) be the second derivative of -d**9/15120 + d**7/2520 + d**4/4 + 2*d. Let y(n) be the third derivative of p(n). Factor y(u).
-u**2*(u - 1)*(u + 1)
Let k(x) be the first derivative of -x**5/5 + 4*x**4/3 - 8*x**3/3 + x**2 - 6. Let s(o) be the second derivative of k(o). Factor s(g).
-4*(g - 2)*(3*g - 2)
Let o(t) be the second derivative of -1/90*t**5 + 0 + 0*t**4 - 1/135*t**6 + 0*t*