u) be the third derivative of -u**7/735 + u**6/210 + u**5/70 - u**4/21 - 4*u**3/21 - 2*u**2. Factor f(i).
-2*(i - 2)**2*(i + 1)**2/7
Let m(o) be the first derivative of 0*o**2 - 1/15*o**5 + 0*o**4 - 1/3*o + 2/9*o**3 - 3. Suppose m(z) = 0. What is z?
-1, 1
Determine j, given that -6 - 13 - 5*j**2 - 3 + 25*j - 8 = 0.
2, 3
Let t be (-1276)/(-198) + 2/9. Find f, given that -t*f**2 + 20/3*f**4 + 8/3*f**3 + 0 - 8/3*f = 0.
-1, -2/5, 0, 1
Let q(j) be the third derivative of 0*j**5 - 1/420*j**7 - 1/240*j**6 + 0*j + 0*j**4 - 2*j**2 + 0 + 0*j**3. Factor q(m).
-m**3*(m + 1)/2
Factor 10*w**2 + 0 - 2 + 3 - 11*w**2.
-(w - 1)*(w + 1)
Let r(k) be the first derivative of -k**6/6 - k**5/5 + 5*k**4/4 - k**3 + 26. Factor r(b).
-b**2*(b - 1)**2*(b + 3)
Let -2/11*h**2 + 26/11*h + 0 = 0. What is h?
0, 13
Let g(r) be the first derivative of r**6/21 + 4*r**5/35 - r**4/7 - 8*r**3/21 + r**2/7 + 4*r/7 + 23. Let g(a) = 0. Calculate a.
-2, -1, 1
Let t = 69283/42 - 1649. Let h(q) be the second derivative of 2*q + 0 + 10/21*q**3 - t*q**4 - 1/7*q**2. Factor h(s).
-2*(5*s - 1)**2/7
Let b(y) be the first derivative of -3 - 1/5*y**5 + 1/24*y**6 + 1/8*y**2 + 3/8*y**4 + 0*y - 1/3*y**3. Solve b(f) = 0 for f.
0, 1
Let y = -8 - -8. Factor 2*m**3 + 0*m**2 + 2*m**4 - 2*m**2 + m**5 - 3*m**5 + y*m**5.
-2*m**2*(m - 1)**2*(m + 1)
Let j(u) be the third derivative of 0*u**3 - 1/120*u**6 + 1/210*u**7 + 0*u + 0 + 0*u**4 - 2*u**2 + 0*u**5. What is a in j(a) = 0?
0, 1
Let d(n) be the first derivative of n**6/90 + n**5/12 + n**4/6 + 2*n**3 + 2. Let a(m) be the third derivative of d(m). Factor a(r).
2*(r + 2)*(2*r + 1)
Let z(g) be the second derivative of 0 + 0*g**2 + 0*g**4 - 1/90*g**5 + 2*g + 0*g**3. Factor z(b).
-2*b**3/9
Suppose 9 = -16*a + 19*a. Let z(d) be the first derivative of 0*d - 1 + 1/6*d**a + 0*d**2. Find x such that z(x) = 0.
0
Let w = 15/22 - -3/44. Find l, given that -w*l**3 - 21/4*l**2 - 45/4*l - 27/4 = 0.
-3, -1
What is o in -o**2 + 4*o**2 - 2*o + 0*o**2 + 1 - 2*o**2 = 0?
1
Let o(b) be the second derivative of b**8/4200 + b**7/2100 - 5*b**3/6 - 3*b. Let m(q) be the second derivative of o(q). Determine p so that m(p) = 0.
-1, 0
Let o(u) be the second derivative of -u**5/35 + 5*u**4/84 - u**3/42 - 2*u. Suppose o(g) = 0. Calculate g.
0, 1/4, 1
Let q = 21 + -18. Factor -4*a - 3 + 3*a**2 + 12*a - 5*a - 3*a**q.
-3*(a - 1)**2*(a + 1)
Let 2/5*h**4 + 2/5*h + 6/5*h**2 + 0 + 6/5*h**3 = 0. Calculate h.
-1, 0
Let f(v) = -3*v**2 + 12*v + 15. Let w(l) = -l**2 + 3*l + 4. Let b(y) = -2*f(y) + 9*w(y). Factor b(z).
-3*(z - 2)*(z + 1)
Let -3*w**2 - 11/3*w - 2/3 = 0. Calculate w.
-1, -2/9
Suppose -4*h + 10 = -n, -3*h - h = n - 22. Suppose 2*o - 2 = -x, x + n = 4*x - 4*o. Factor 6/11*p**4 - 4/11 + 6/11*p**x - 6/11*p + 14/11*p**3.
2*(p + 1)**3*(3*p - 2)/11
Suppose z = 3*q + 17, -5*z + 3*q - q = -20. Factor -h**4 + h**3 + 0*h**4 - h + 2*h**3 + h**2 - z*h**3.
-h*(h - 1)**2*(h + 1)
Suppose -6*k - 7*k + 26 = 0. Let l(p) be the first derivative of -1/7*p**k + 4/21*p**3 + 0*p - 1 - 1/14*p**4. Determine q so that l(q) = 0.
0, 1
Let a = 613 - 609. Determine n so that -20*n**3 - 5*n - 8*n**a - 33/2*n**2 - 1/2 = 0.
-1, -1/4
Let f(s) be the first derivative of s**4 - s**6 + 0*s**3 - 2/5*s**5 + 0*s**2 + 2 + 0*s. Solve f(o) = 0.
-1, 0, 2/3
Let l = 71/7 - 348/35. Factor 1/5*w**3 + 0*w + 0 + 0*w**2 + l*w**4.
w**3*(w + 1)/5
Let l(x) be the third derivative of x**5/30 - x**4/4 + 2*x**3/3 - 10*x**2. Let l(i) = 0. What is i?
1, 2
Determine r so that -4*r**4 - 2 - 8*r + 8*r**3 + 0 + 4*r**2 + 2 = 0.
-1, 0, 1, 2
Let i(y) = -2*y**2 - 8*y + 122. Let c be i(-10). Factor 0 + 16/7*w + 10/7*w**4 + 24/7*w**c - 36/7*w**3.
2*w*(w - 2)**2*(5*w + 2)/7
Let w(o) = -o**3 - 4*o**2 + 4*o - 1. Let z be w(-5). Factor -1/5*j**2 - 9/5*j**3 - 4/5*j**5 + 0 + 1/5*j - 11/5*j**z.
-j*(j + 1)**3*(4*j - 1)/5
Let o(n) = n**5 - n**3 + n**2 + n + 1. Let r(p) = -3*p**5 - 2*p**4 + 4*p**3 + 6*p**2 + 5*p. Let g(c) = -4*o(c) - 2*r(c). Factor g(t).
2*(t - 2)*(t + 1)**4
Let c(o) = o**2 + 1. Let y be c(1). Factor 0 - 5*m**2 + 1 + y*m + 6*m**2.
(m + 1)**2
Let h(q) = 7*q**2 - 9*q + 7. Let k(c) = 3*c**2 - 4*c + 3. Let l = 9 + -5. Let o(g) = l*h(g) - 10*k(g). Factor o(s).
-2*(s - 1)**2
Let c(k) be the second derivative of 1/35*k**5 + 0*k**3 - 1/42*k**4 + k - 1/105*k**6 + 0*k**2 + 0. Solve c(p) = 0.
0, 1
Let w be ((-18)/20 + 1)/(7/224). Determine r so that -24/5*r**2 - 32/5*r - w - 1/5*r**4 - 8/5*r**3 = 0.
-2
Let -1/3*v**4 + 2/3 + v - v**3 - 1/3*v**2 = 0. What is v?
-2, -1, 1
Let q(r) be the second derivative of r**5/5 - 2*r**4/3 - r**3/2 + 9*r**2/2 + 30*r. Factor q(z).
(z + 1)*(2*z - 3)**2
Let l(h) be the third derivative of -h**10/378000 - h**9/151200 + h**5/30 - h**2. Let m(a) be the third derivative of l(a). Suppose m(g) = 0. Calculate g.
-1, 0
Factor -252/11*a**3 - 98/11*a**4 + 0 - 16/11*a - 120/11*a**2.
-2*a*(a + 2)*(7*a + 2)**2/11
Suppose 5*w - 96*w**3 + 8 - 9*w**2 + 7 - 6*w**2 + 91*w**3 = 0. What is w?
-3, -1, 1
What is h in 3/8*h**5 + 0*h + 0 + 3/8*h**2 - 3/8*h**3 - 3/8*h**4 = 0?
-1, 0, 1
Let b(a) be the third derivative of -a**6/300 - 2*a**5/75 - a**4/20 + 7*a**2. Determine k, given that b(k) = 0.
-3, -1, 0
Factor 0*t**4 - 6*t**3 + 2*t**4 + t**2 + 7*t**4.
t**2*(3*t - 1)**2
Determine l so that 3/4*l**3 + 0 + 1/4*l**5 - 1/4*l - 7/8*l**4 + 1/8*l**2 = 0.
-1/2, 0, 1, 2
Let r(b) be the first derivative of -3*b**5/10 - 3*b**4/4 - b**3/2 - 9. Let r(h) = 0. What is h?
-1, 0
Let m(k) = -k - 5. Suppose 4*s + 5*s + 63 = 0. Let n be m(s). Solve -2/3 + 1/3*l**n - 1/3*l = 0.
-1, 2
Let j(g) be the third derivative of -g**6/24 + g**5/6 - 5*g**4/24 + 23*g**2. Factor j(o).
-5*o*(o - 1)**2
Factor 2/19*m - 2/19*m**3 + 4/19*m**2 - 4/19.
-2*(m - 2)*(m - 1)*(m + 1)/19
Let q(v) be the first derivative of -1/18*v**4 + 1 - 2/9*v**3 - 1/3*v**2 - 2/9*v. What is x in q(x) = 0?
-1
Let y(t) be the third derivative of 2*t**2 - 1/120*t**5 + 0 + 0*t + 0*t**3 + 1/48*t**4. Factor y(w).
-w*(w - 1)/2
Let b(x) be the second derivative of x**5/10 + x**4/2 + 2*x**3/3 - 10*x. Factor b(h).
2*h*(h + 1)*(h + 2)
Let z be (-24)/60 + 2/5. Let q be (-10)/14 - (3 - 4). Determine u so that z - q*u**3 + 4/7*u**2 - 2/7*u = 0.
0, 1
Let -7*j - 4*j**2 - 2 - 10 - 9*j = 0. What is j?
-3, -1
Let p be 474/45 + (-6 - -5). Let w = 51/5 - p. Factor -2/3*b**3 + w*b + 2/3 - 2/3*b**2.
-2*(b - 1)*(b + 1)**2/3
Let q(s) be the third derivative of -1/630*s**7 + 0*s**6 + 0*s**4 + 0*s - 3*s**2 - 1/18*s**3 + 0 + 1/90*s**5. Determine m so that q(m) = 0.
-1, 1
Let a(r) be the second derivative of r**6/70 + 3*r**5/70 + r**4/28 - r - 20. Find m, given that a(m) = 0.
-1, 0
Let c be 570/280 + 1/4. Suppose -10/7*r**4 - 2*r**3 + c*r + 8/7 - 2/7*r**5 + 2/7*r**2 = 0. Calculate r.
-2, -1, 1
Let a(i) = 2*i**4 - 8*i**3 + 14*i + 10. Let c(v) = -v**4 - v - 1. Let b(g) = a(g) + 6*c(g). Factor b(t).
-4*(t - 1)*(t + 1)**3
Let q(c) = 3*c**2 - 2*c + 1. Suppose 0 = 2*y - 2. Let d be q(y). Factor -1/3*m**5 - d*m**3 - 4/3*m**2 - 1/3*m + 0 - 4/3*m**4.
-m*(m + 1)**4/3
Let o(b) = -12 - b + b + b. Let n be o(14). Factor 0*j**3 - 4/5*j**5 + 0*j**n + 1/5*j**4 + 0*j + 0.
-j**4*(4*j - 1)/5
Let k(h) = -9*h**4 + 8*h**3 + 9*h**2 - 8*h - 8. Let p(z) = -6*z**4 + 5*z**3 + 6*z**2 - 5*z - 5. Let t(g) = -5*k(g) + 8*p(g). Factor t(i).
-3*i**2*(i - 1)*(i + 1)
Let h be 2*1/2 + -5. Let d = h - -6. Suppose 20*z**2 - d*z**5 - 18*z + 4 + 12*z**5 - 9*z**4 + 8*z**3 - 15*z**4 = 0. What is z?
-1, 2/5, 1
Let s(q) = -q**2 + q - 1. Let j(a) = -49*a**4 - 77*a**3 + 68*a**2 + 50*a + 10. Let d = -2 + 4. Let f(m) = d*j(m) + 4*s(m). Solve f(k) = 0 for k.
-2, -2/7, 1
Let j = 1 + -7. Let i be 1 + 3/((-9)/j). Factor -i*l**4 + 3*l**4 - l**4 + 4*l**3 + 3*l**4.
2*l**3*(l + 2)
Let j(a) be the third derivative of -a**8/84 - 2*a**7/15 - 3*a**6/5 - 22*a**5/15 - 13*a**4/6 - 2*a**3 - 8*a**2. Factor j(l).
-4*(l + 1)**4*(l + 3)
Let a(y) be the second derivative of y**6/120 - y**4/16 - y**3/12 + 16*y. Factor a(u).
u*(u - 2)*(u + 1)**2/4
Let t be (4 - -1) + (-7 - -7). Factor -2*n**2 - 6*n**4 - 2*n**t + 11*n**4 + 2*n**3 - 3*n**4.
-2*n**2*(n - 1)**2*(n + 1)
Suppose 0 = -n - 0*n - 0*n. Factor 4/3*i**2 + 2/3*i**3 + 2/3*i + n.
2*i*(i + 1)**2/3
Let f be ((-12)/(-2))/1 - 1. Suppose 14 = 2*m + m - 2*s, -f*s - 16 = 2*m. Factor g**2 + 6*g**4 - 4*g**3 + 2*g**5 + 10*g**3 + g**m.
2*g**2*(g + 1)**3
Let o(k) be th