 - 40*w - 5. Let p(b) = c(b) + 5*h(b). Find j, given that p(j) = 0.
0, 2
Let w be (-2)/1*6/(-4). Let d = 5 - w. Determine f so that -f + f - 2 + d*f**2 = 0.
-1, 1
Let q(g) = -8*g**2 - g + 19. Let o(w) = -7*w**2 - 2*w + 20. Let n(c) = 5*o(c) - 4*q(c). Find m, given that n(m) = 0.
-4, 2
Suppose 0 = -0*p + 3*p - 9. Let n = 20 - 17. Determine z, given that -5*z**3 - 2*z**n + 6*z**p + z**2 = 0.
0, 1
Let r(m) be the third derivative of -m**5/120 + m**3/12 + 4*m**2. Determine c so that r(c) = 0.
-1, 1
Suppose -4*n + 369 = -683. Let g = -1309/5 + n. Factor 9/5*i**3 + 0*i**4 - g*i**2 + 0 - 3/5*i**5 + 0*i.
-3*i**2*(i - 1)**2*(i + 2)/5
Let t(n) be the third derivative of -n**8/4480 + n**7/840 + n**6/480 - n**5/40 + n**4/8 + 3*n**2. Let m(s) be the second derivative of t(s). Factor m(i).
-3*(i - 2)*(i - 1)*(i + 1)/2
Let j(f) be the first derivative of -f**5 + 35*f**4/4 - 25*f**3 + 65*f**2/2 - 20*f - 17. Factor j(l).
-5*(l - 4)*(l - 1)**3
Let b(j) be the second derivative of -j**7/3780 - j**6/540 - j**5/180 + j**4/12 - 3*j. Let s(r) be the third derivative of b(r). Let s(o) = 0. Calculate o.
-1
Let o(v) be the second derivative of v**8/10080 + v**7/3780 - v**4/4 + v. Let u(a) be the third derivative of o(a). Suppose u(r) = 0. Calculate r.
-1, 0
Let p(q) be the first derivative of 0*q**4 - 3 + 0*q**2 - 4/21*q**3 + 2/35*q**5 + 2/7*q. Factor p(m).
2*(m - 1)**2*(m + 1)**2/7
Let t = -25 - -33. Let m be (-2)/t - (-155)/140. Determine x, given that -6/7*x**2 + 0 + m*x**3 - 2/7*x**4 + 2/7*x = 0.
0, 1
Let b be (3 + 6)/(-3) + 4. Suppose 0 = -2*d - 2*c + 12, 0 = -d + c + 1 - 3. Factor -15/2*x**3 + 2*x**d + b + 9/2*x.
-(x - 1)*(3*x + 1)*(5*x + 2)/2
Let d(z) be the first derivative of 2*z**5/5 - 2*z**3/3 + 19. Determine v so that d(v) = 0.
-1, 0, 1
Let u(a) = 7 - a - 16 - 2. Let p be u(-11). Factor p - 1/5*v**2 - 1/5*v.
-v*(v + 1)/5
Let p(a) = 2*a**3 + 9*a**2 + 1. Let b(s) = 0 - 7*s**2 - 12*s**2 - 3*s**3 + s - 2 - 1. Let u(z) = 2*b(z) + 5*p(z). Factor u(n).
(n + 1)**2*(4*n - 1)
Let x(z) = -z**2 + 6*z - 7. Let u(a) = a - 1. Let w(t) = -21*u(t) + 3*x(t). Suppose w(n) = 0. Calculate n.
-1, 0
Let w(v) be the second derivative of v**4/36 - 8*v. Factor w(r).
r**2/3
Suppose -w = -b - 4*w, w = 2*b. Suppose 29 = -5*v + 6*v - 5*o, 3*o = -15. What is r in b + 0*r + 2/7*r**2 + 0*r**3 - 2/7*r**v = 0?
-1, 0, 1
Suppose 4*v + 6 + 2 = -3*f, f + 2*v + 4 = 0. Suppose 3*c - 6 = -f*c. Factor b**2 - 6*b**c + b**2 - 2*b - 2*b**3.
-2*b*(b + 1)**2
Let w(a) be the third derivative of 0 + a**2 + 1/105*a**7 + 0*a - 1/30*a**5 + 1/120*a**6 + 0*a**3 + 0*a**4 - 1/336*a**8. Factor w(j).
-j**2*(j - 2)*(j - 1)*(j + 1)
Let o(x) = x**2 + x + 1. Let p(r) = 3*r**3 - 6*r**2 - 8*r - 4. Let t(m) = 10*o(m) + 2*p(m). Factor t(a).
2*(a - 1)*(a + 1)*(3*a - 1)
Let c(w) be the second derivative of w**5/4 + 5*w**4/12 - 5*w**3/3 - 11*w. Solve c(h) = 0 for h.
-2, 0, 1
Solve -2/5*a**4 + 6/5*a**2 - 2/5*a**3 + 2/5*a - 4/5 = 0.
-2, -1, 1
Let t be 3*3*(-2)/(-6). Suppose -6 = -3*m - 3*i, 10 = -m + 6*m + t*i. Find b, given that -6*b - b**2 + b**m + 3*b**2 = 0.
0, 2
Suppose 0 = -5*j + 4*h - 3*h + 10, 4*h - 2 = -j. Suppose 150 = -j*s + 7*s. Factor 2*c**4 - 30 + 2*c + s - 2*c**2 - 2*c**3.
2*c*(c - 1)**2*(c + 1)
Let r = 0 + 2. Factor -9*m**4 + 9*m**3 - 2*m**2 + 16*m**5 - 13*m**5 - m**r.
3*m**2*(m - 1)**3
Factor -2/3*t**3 + 6/5*t - 2/5*t**2 - 2/15*t**4 + 0.
-2*t*(t - 1)*(t + 3)**2/15
Let t(z) be the second derivative of -z**4/84 + z**3/42 - z. Solve t(k) = 0.
0, 1
Let f(r) be the third derivative of -r**8/90720 + r**7/11340 - r**6/3240 + r**5/15 - 6*r**2. Let l(d) be the third derivative of f(d). Factor l(n).
-2*(n - 1)**2/9
Let a(t) be the third derivative of -t**9/7560 - t**8/2100 + t**6/450 + t**5/300 + t**3/3 + 3*t**2. Let i(k) be the first derivative of a(k). Solve i(s) = 0.
-1, 0, 1
Find u such that 16*u - 5 - 2*u**2 - 2*u**2 - 8 + 1 = 0.
1, 3
Let q be 1/(-2)*-6 + -3. Let y(m) be the second derivative of -1/15*m**3 - 2*m + 0*m**4 - 1/105*m**7 + 0*m**6 + q*m**2 + 1/25*m**5 + 0. Factor y(s).
-2*s*(s - 1)**2*(s + 1)**2/5
Determine a so that 4*a + 16*a**2 - 6*a**4 + 0*a**4 + 12*a**4 + 4*a**5 + 10*a**4 + 24*a**3 = 0.
-1, 0
Let z = 149 - 1489/10. Let y(o) be the second derivative of -1/2*o**4 - o**2 + 3*o + 0 + o**3 + z*o**5. Factor y(b).
2*(b - 1)**3
Let q(i) be the third derivative of -i**8/11200 - i**7/12600 + i**6/1800 - i**4/6 - 2*i**2. Let a(s) be the second derivative of q(s). Factor a(w).
-w*(w + 1)*(3*w - 2)/5
Let h(m) be the first derivative of -m**6/3 - 4*m**5/5 + 4*m**3/3 + m**2 + 5. Factor h(j).
-2*j*(j - 1)*(j + 1)**3
Factor -3*v**4 - 3*v**2 + 1 + 3*v**3 + 7*v**4 - 2*v**2 - 3*v.
(v - 1)*(v + 1)**2*(4*v - 1)
Let q(n) = -8*n**2 - 21*n - 8. Let w(m) = 52*m**2 + 136*m + 52. Let f(c) = 32*q(c) + 5*w(c). Factor f(l).
4*(l + 1)**2
Let i(q) be the third derivative of 3*q**2 + 0 + 0*q + 0*q**3 - 1/150*q**5 - 1/30*q**4. Find b, given that i(b) = 0.
-2, 0
Let f(s) = 2*s**2 + 4*s + 3. Let k be f(-2). Factor 2/3*v - 2/3*v**k - 2/3 + 2/3*v**2.
-2*(v - 1)**2*(v + 1)/3
Factor 3*n**4 - 14*n**2 + 12*n**2 - n**4.
2*n**2*(n - 1)*(n + 1)
Let z = 0 - 0. Suppose -k - 3*b = 0, k = -z*k + 3*b + 6. Find a such that -8*a**3 - 2*a**5 - 2*a**2 + 2*a**3 - 6*a**4 + 0*a**k = 0.
-1, 0
Let b(f) be the second derivative of 0*f**2 - 1/14*f**4 + 2*f + 2/21*f**3 + 0. What is z in b(z) = 0?
0, 2/3
Let b(w) be the third derivative of -w**5/150 + w**4/30 - w**3/15 - 7*w**2. What is y in b(y) = 0?
1
Let l(o) = 4*o. Let a be l(1). Let s = 2 + 0. Suppose -p + 4*p**2 + 2*p**3 - s*p - a + p = 0. Calculate p.
-2, -1, 1
Let p be (3/3)/(3 + -2). Factor p - 2*j**2 - 4*j**3 - 1 + 0*j**3 - 2*j**4.
-2*j**2*(j + 1)**2
Let n = 52 + -154/3. Let 0 - 1/3*m - 1/3*m**3 + n*m**2 = 0. What is m?
0, 1
Suppose -2 - 8 = -2*m. Let z(h) be the second derivative of 2/9*h**4 - 1/30*h**m + 3*h - 4/9*h**3 + 0*h**2 + 0. Factor z(b).
-2*b*(b - 2)**2/3
Let g(k) be the third derivative of k**8/1848 - 2*k**7/385 + 13*k**6/660 - 2*k**5/55 + k**4/33 + 37*k**2. Factor g(q).
2*q*(q - 2)**2*(q - 1)**2/11
Let r(p) = 48*p**4 - 336*p**3 - 849*p**2 - 465*p - 66. Let a(d) = 3*d**4 - 21*d**3 - 53*d**2 - 29*d - 4. Let o(v) = 33*a(v) - 2*r(v). Factor o(k).
3*k*(k - 9)*(k + 1)**2
Let v be (0 - (1 + -5 + 4)) + 2. Let d be (6/(-44))/(3/(-4)). Factor -2/11 - d*z**v + 4/11*z.
-2*(z - 1)**2/11
Let c be 5/(-3)*(-12)/70. Determine l, given that 4/7 - c*l**2 + 2/7*l = 0.
-1, 2
Let b(a) be the first derivative of 1/6*a + 1 + 1/18*a**3 - 1/6*a**2. Factor b(y).
(y - 1)**2/6
Let j(q) = -q**3 + 22*q - 20. Let b be j(4). Suppose 0 - 20/3*x**b + 8/3*x**2 - 8/3*x + 14/3*x**3 + 2*x**5 = 0. Calculate x.
-2/3, 0, 1, 2
Let c(i) = -i**3 + i**2 + i. Let j(t) = t**4 + 5*t**3 + t**2 - t. Let y(m) = -6*c(m) - 3*j(m). Factor y(z).
-3*z*(z + 1)**3
Determine y, given that 7*y**4 - 6*y**4 - 7*y**4 + 3*y**3 - 3*y**5 + 4*y**2 + 2*y**2 = 0.
-2, -1, 0, 1
Let q = -9 + 13. Suppose q*l - 2 = 3*z, l - 3 = -z + 1. Factor -l*y**3 + 4 + 3 - 6*y**2 + 1.
-2*(y - 1)*(y + 2)**2
Let r = 4 + -1. Let j(s) be the second derivative of 1/16*s**4 + 1/8*s**r + 1/8*s**2 - s + 0 + 1/80*s**5. Factor j(y).
(y + 1)**3/4
Let p(i) be the third derivative of i**9/7560 - i**7/1260 + i**4/3 + 8*i**2. Let m(o) be the second derivative of p(o). Suppose m(q) = 0. Calculate q.
-1, 0, 1
Factor -4*n - 27*n**3 + 25*n**2 + 5*n**4 + 7*n**3 - 3*n - 3*n.
5*n*(n - 2)*(n - 1)**2
Let n = -3 - -7. Suppose -5*k = n*w - 23, -1 = k + 3*w - 10. Find s such that 3/5 + 9/5*s**2 - 9/5*s - 3/5*s**k = 0.
1
Let d(h) be the third derivative of h**5/12 - 5*h**4/6 + 20*h**2. Factor d(n).
5*n*(n - 4)
Determine b so that 4/7*b**3 + 0 - 6/7*b**2 + 2/7*b**4 + 0*b = 0.
-3, 0, 1
Suppose 0 = -2*s + 3*w + 481 - 94, -958 = -5*s - 2*w. Let h = 1732/9 - s. Let 2/9*l**2 + 0 - h*l = 0. What is l?
0, 2
Suppose 1/3*a**3 + 4/3 + 2/3*a**2 - 7/3*a = 0. What is a?
-4, 1
Let z(p) = p - 9. Let f be z(9). Suppose 3*v - 15 = f, 3*y - v + 3 = 4. Determine x, given that 2*x - x - x + 1 - x**y - x**3 + x = 0.
-1, 1
Let b(r) = -r**3 + 11*r**2 + 2*r - 14. Let d be b(11). Factor 17*a**2 - 3*a**3 - d*a**2 - 3 - 9.
-3*(a - 2)**2*(a + 1)
Let l be 59/19 - 60/570. Factor 1/4*m**2 + 0 - 1/8*m - 1/8*m**l.
-m*(m - 1)**2/8
Let m(a) = -a**3 + a**2 + a - 1. Let b(l) = -6*l**3 + 4*l**2 + 6*l - 4. Let r be (1 - 12/10)*-5. Let n(v