e of 5*t**7/42 - 7*t**6/30 + t**5/10 - 2*t. Factor q(b).
b**3*(b - 1)*(5*b - 2)
Let t(a) = -597*a**2 - 345*a - 39. Suppose -5*h + 0 = -15. Suppose 3*j + 3 = -h. Let u(y) = 149*y**2 + 86*y + 10. Let p(v) = j*t(v) - 9*u(v). Factor p(r).
-3*(7*r + 2)**2
Let d(h) be the second derivative of -1/50*h**5 - 2*h + 1/30*h**4 - 1/5*h**2 + 1/15*h**3 + 0. Factor d(a).
-2*(a - 1)**2*(a + 1)/5
Suppose -1 = -2*t + 67. Factor 30*j**3 - 15 + 12*j**2 - 1 - t*j**3.
-4*(j - 2)**2*(j + 1)
Suppose -9 = 15*m - 54. Let g(w) be the second derivative of -2/9*w**m + 0 - w + 1/9*w**4 + 0*w**2 - 1/60*w**5. Find c, given that g(c) = 0.
0, 2
Let m be (-84)/9 + 3/9. Let o = -7 - m. Factor -8*j**o - 2*j + 4/3 - 14/3*j**3.
-2*(j + 1)**2*(7*j - 2)/3
Let o = 1/105 - -103/210. Factor -3/2*p**2 - 1/2*p**3 + 1/2*p + p**4 + o.
(p - 1)**2*(p + 1)*(2*p + 1)/2
Let u(t) be the first derivative of -5*t**3/3 + 5*t**2/2 + 10*t + 22. Factor u(g).
-5*(g - 2)*(g + 1)
Let z(v) = -1. Let x(k) = 12*k**2 - 4*k + 5. Let j(m) = -x(m) - 5*z(m). Find c such that j(c) = 0.
0, 1/3
Let s(r) be the third derivative of r**6/300 - r**5/75 + r**4/60 + 2*r**2. Let s(c) = 0. Calculate c.
0, 1
Let j = 85 - 85. Let h(r) be the second derivative of -1/75*r**6 + j*r**2 + r - 1/50*r**5 + 1/15*r**3 + 1/30*r**4 + 0. Factor h(s).
-2*s*(s - 1)*(s + 1)**2/5
Let q(l) be the first derivative of l**5/40 + 3*l**4/16 + 13*l**3/24 + 3*l**2/4 + l/2 - 5. Determine v so that q(v) = 0.
-2, -1
Let z be (2/3)/((-2)/3). Let t be 1 - z - 0/1. Factor t*j**4 + 4*j**5 - 2*j**3 + 5 - 5.
2*j**3*(j + 1)*(2*j - 1)
Let m(b) = -b**2 - 2*b + 1. Let i(u) = -u - 1. Let k(z) = -i(z) - m(z). Find t such that k(t) = 0.
-3, 0
Solve -20 - 8*a**2 + 10 - 2*a**3 + 18 + 2*a = 0 for a.
-4, -1, 1
Let g = -29 - -20. Let o be ((-15)/90)/(1/g). Factor -1/3 + 7/6*j**4 - 3/2*j**3 - 5/6*j**2 + o*j.
(j - 1)**2*(j + 1)*(7*j - 2)/6
Let v = -36 + 40. Let f(m) be the third derivative of -1/210*m**7 + 0*m**3 + 0*m**6 + 0*m**5 - 3*m**2 + 0*m + 0 + 0*m**v. Let f(a) = 0. What is a?
0
Let z = 1/3 - -1/6. Let s(c) be the first derivative of 0*c + z*c**4 + 2/3*c**3 - 2 - c**2 - 2/5*c**5. Factor s(l).
-2*l*(l - 1)**2*(l + 1)
Factor -4/3 - 2/3*y + 2/3*y**3 + 4/3*y**2.
2*(y - 1)*(y + 1)*(y + 2)/3
Let s(n) be the second derivative of -2*n**7/105 - 9*n**2/2 - 6*n. Let h(j) be the first derivative of s(j). Let h(g) = 0. What is g?
0
Suppose -3*b = -5*u + 13 + 6, 4*b + 7 = 3*u. Suppose -4*n + 16 = 4*y + 4, y + 6 = 2*n. Factor h**2 - b + n - 2.
(h - 1)*(h + 1)
Let z(l) be the second derivative of -l**7/84 - l**6/30 + l**4/12 + l**3/12 - 6*l. Factor z(n).
-n*(n - 1)*(n + 1)**3/2
Solve -3*p**3 + 3*p**2 - 31*p + 76*p - 33*p - 12 = 0 for p.
-2, 1, 2
Let n(o) be the second derivative of 1/360*o**6 + 0 - 1/3*o**3 + 1/60*o**5 + 0*o**2 + 1/24*o**4 - 2*o. Let g(s) be the second derivative of n(s). Factor g(p).
(p + 1)**2
Let p(l) be the first derivative of -2*l**6/21 + 12*l**5/35 - 3*l**4/7 + 4*l**3/21 + 2. Find i such that p(i) = 0.
0, 1
Let j(r) = r**5 + r**3 - r**2 - r - 1. Let i(o) = 5*o**5 - 3*o**4 + 3*o**3 - 7*o**2 - 6*o - 6. Let v(p) = -i(p) + 6*j(p). What is n in v(n) = 0?
-1, 0
Let 4*g + g**2 + 0*g + 7*g - 10*g = 0. Calculate g.
-1, 0
Let m = 273/8 + -34. Let v(i) be the first derivative of -m*i**4 - 5/12*i**3 + 2 - 1/4*i - 1/2*i**2. Factor v(z).
-(z + 1)**2*(2*z + 1)/4
Let m = 79 - 31. Let s = 146/3 - m. Suppose -1/3*w**5 - 2/3*w**2 + 1/3*w**4 + 1/3 - 1/3*w + s*w**3 = 0. Calculate w.
-1, 1
Let s(a) be the second derivative of -7*a**6/15 - 9*a**5/10 - a**4/3 + 3*a. Factor s(h).
-2*h**2*(h + 1)*(7*h + 2)
Suppose 0 = q - 1 - 4. Suppose 0*r = -q*r. Factor 0*y + 0*y**3 - 2/5*y**2 + 2/5*y**4 + r.
2*y**2*(y - 1)*(y + 1)/5
Let a(b) = b - 3 + 0*b**2 + b**3 + 5*b**2 + b. Let y be a(-4). Let -1 - h**3 + h + 0*h**3 - h**4 + h**y - h**3 + 2*h**2 = 0. Calculate h.
-1, 1
Let j = -821/4 - -8839/44. Let g = -174/55 - j. Suppose -g*a - 4/5 - 2/5*a**2 = 0. What is a?
-2, -1
Let i(u) be the third derivative of -1/300*u**5 + 1/120*u**4 + 5*u**2 + 0*u + 0 + 0*u**3. Find p such that i(p) = 0.
0, 1
Factor -1/3*v**3 + 2/3 + 5/3*v - 1/3*v**4 + v**2.
-(v - 2)*(v + 1)**3/3
Let r = 13/3 - 5/3. Factor 20/3*b**2 - r + 4*b.
4*(b + 1)*(5*b - 2)/3
Let r(u) be the first derivative of 5*u**4/4 + 5*u**3 - 45*u**2/2 + 25*u - 1. Factor r(v).
5*(v - 1)**2*(v + 5)
Let b = -6010/5337 - -7874249/3388995. Let f = b + 1/381. Find d such that -9/5*d**4 + 16/5*d**3 + 2/5*d**5 + f*d - 14/5*d**2 - 1/5 = 0.
1/2, 1
Factor 4*l**2 - 29 + 29.
4*l**2
Let n(s) be the third derivative of -s**5/8 - 23*s**4/16 + 5*s**3/2 + 40*s**2. Factor n(g).
-3*(g + 5)*(5*g - 2)/2
Let a(s) be the second derivative of 5*s**6/2 - 201*s**5/2 + 4749*s**4/4 - 1742*s**3 + 1014*s**2 - 4*s + 1. Factor a(f).
3*(f - 13)**2*(5*f - 2)**2
Let b(t) = t**3 - 3*t**2 + 3*t - 2. Let o be b(2). Suppose o*p - 3*p - 4*y = -22, 3*p + y - 10 = 0. Find d such that -d**3 - 2*d**3 - d**p - d**3 + 3*d**3 = 0.
-1, 0
Let a(x) be the first derivative of -x**3/6 - 7*x**2 - 98*x - 12. Find k, given that a(k) = 0.
-14
Let b(t) = -2*t**2 - 6*t - 4. Let x(p) = p**2 + 3*p + 2. Let u(n) = 2*b(n) + 5*x(n). Find y such that u(y) = 0.
-2, -1
Let t(h) be the second derivative of h**4/2 - 3*h**3/2 - 3*h**2 - 4*h. Find b, given that t(b) = 0.
-1/2, 2
Factor 32/9 + 2/9*s**2 + 16/9*s.
2*(s + 4)**2/9
Determine x, given that -5*x**2 - 5 + 2*x + 2*x + 6*x = 0.
1
Let k(a) = -a**2 + 3*a + 4. Let z(f) = -2*f**3 - 2*f - 1. Let l be z(-1). Let o be k(l). Solve 0*b**2 - 2/7*b**3 + 2/7*b**o + 0 + 0*b = 0.
0, 1
Let g(o) = -o**2 - 23*o + 53. Let k be g(-25). Let a(n) be the first derivative of -n + n**2 + 4 - 1/3*n**k. Let a(c) = 0. Calculate c.
1
Let n(j) be the second derivative of -7/150*j**5 + 0 - 2/15*j**3 + j + 3/20*j**4 - 1/2*j**2. Let a(f) be the first derivative of n(f). Factor a(g).
-2*(g - 1)*(7*g - 2)/5
Let m = 53/3 - 103/6. Let i(p) be the first derivative of 8*p + 3 - 14/3*p**3 - 1/3*p**6 + 0*p**2 + 6/5*p**5 + m*p**4. Let i(j) = 0. Calculate j.
-1, 1, 2
Let i(v) = v**3 + 11*v**2 - 6. Let b be i(-11). Let g be (b + 4)*(-2)/2. Determine s, given that s**2 - g*s**3 + s + 0*s**4 + s**3 - s**4 = 0.
-1, 0, 1
Let o be (-128)/(-240) + 1/(-3). Let y = o - -1. Determine j so that 2/5*j**3 - 2/5 + 6/5*j - y*j**2 = 0.
1
Let f(a) = 1. Let n(u) = 4 + 3*u**2 + 0*u**2 - 2*u**2 + u. Let k(g) = 6*f(g) - n(g). Find h such that k(h) = 0.
-2, 1
Let z be (1/(-1))/((-4)/64). Suppose 2*i + 2*n = -3*i + 20, 4*n = 2*i + z. Factor -6*v**3 + 2*v**5 - 2*v**4 + 2*v**2 - i*v**4 + 4*v - 3*v**4 + 5*v**4.
2*v*(v - 2)*(v - 1)*(v + 1)**2
Let z = -4 + 6. Let t(k) be the third derivative of -1/480*k**6 + 0 + 1/80*k**5 + 1/24*k**3 - k**z - 1/32*k**4 + 0*k. Factor t(n).
-(n - 1)**3/4
Suppose -a = -6*a + 25. Factor -2*i**4 + i**a - 2*i + 3*i**2 - i**2 - i + 2*i.
i*(i - 1)**3*(i + 1)
Let m(n) = -15*n**3 - 35*n**2 - 35*n - 15. Let l(u) = 7*u**3 + 17*u**2 + 17*u + 7. Let a(i) = 5*l(i) + 2*m(i). Determine g, given that a(g) = 0.
-1
Let a(m) = m**5 - m**2 + m - 1. Let i(x) = 6*x**5 - 7*x**2 + 7*x - 7. Let o(u) = -21*a(u) + 3*i(u). Factor o(y).
-3*y**5
Let a(y) be the second derivative of y**4/24 - y**2/4 - 12*y. Factor a(w).
(w - 1)*(w + 1)/2
Let x = -2/1267 + 10146/6335. Find p such that -2/5*p**4 + x*p**3 - 12/5*p**2 - 2/5 + 8/5*p = 0.
1
Let f = 2 - -1. Let t = -6 + 10. Factor -2 + b**3 + 4*b**4 - 5*b**f + t*b - 2*b**4.
2*(b - 1)**3*(b + 1)
Let b(w) be the first derivative of -1/3*w**2 + 8/9*w**3 + 0*w - 4 - 1/2*w**4. Suppose b(u) = 0. What is u?
0, 1/3, 1
Let l be (4/3)/(1/(-3)). Let d be ((-9)/(-12))/((-1)/l). Solve 8/7*w**5 + 2/7*w + 6/7*w**2 + 0 - 10/7*w**d - 6/7*w**4 = 0.
-1, -1/4, 0, 1
Let y = 7 + -8. Let a(z) = -3*z + 1. Let d be a(y). Let -10*v - 7*v**2 + d*v**4 + 2*v**5 + 8*v + 3*v**2 = 0. What is v?
-1, 0, 1
Let t = 55 + -37. Let o = 22 - t. Factor -3/4*f**2 - 1/4*f**o + f - f**3 + 1.
-(f - 1)*(f + 1)*(f + 2)**2/4
Let -3*u - 9 + 73*u**2 - 70*u**2 - 3*u = 0. What is u?
-1, 3
Let z(r) = r**2 - r + 1. Let u = -10 + 7. Let i(w) = -4*w - 2. Let h(q) = -3*q - 1. Let d(g) = 3*h(g) - 2*i(g). Let k(b) = u*d(b) + 2*z(b). Factor k(v).
(v + 1)*(2*v - 1)
Suppose m + 6 = -0*m. Let w(k) = -k**3 - 6*k**2 - k - 4. Let d be w(m). Factor 1/5*t**4 + 1/5*t - 1/5*t**3 + 2/5 - 3/5*t**d.
(t - 2)*(t - 1)*(t + 1)**2/5
Let d(a) be the second derivat