 + 1/20*n**5. Factor z(a).
-a**2*(a - 1)*(2*a + 1)
Let k be 93/(-15) - (-8 - -4) - -3. What is z in 2/5*z**3 + 0 + 0*z + 0*z**2 + 2/5*z**4 - k*z**5 = 0?
-1/2, 0, 1
Let y(v) be the third derivative of -5*v**7/84 + v**6/8 - 3*v**5/40 - 2*v**2. Solve y(r) = 0.
0, 3/5
Let h(k) be the first derivative of 2*k**5/25 + k**4/10 + 11. Suppose h(x) = 0. What is x?
-1, 0
Let y(u) = 12*u**2 + 4*u - 20. Let q(s) = 1. Let a(n) = 12*q(n) + y(n). Suppose a(v) = 0. What is v?
-1, 2/3
Let b(j) be the third derivative of -j**5/15 - 2*j**4/3 - 2*j**3 + 7*j**2. Determine u so that b(u) = 0.
-3, -1
Let y(l) be the second derivative of -7/20*l**5 + 0 + 1/6*l**4 + l + 7/6*l**3 - l**2. Factor y(p).
-(p - 1)*(p + 1)*(7*p - 2)
Let y(z) be the first derivative of -z**7/84 + z**6/60 + 2*z + 3. Let u(d) be the first derivative of y(d). Factor u(k).
-k**4*(k - 1)/2
Let j(r) = -245*r**2 - 140*r - 26. Let w(i) = 245*i**2 + 140*i + 25. Let y(p) = -5*j(p) - 6*w(p). Factor y(o).
-5*(7*o + 2)**2
Suppose -2/5*w + 2/5 + 1/10*w**2 = 0. What is w?
2
Let c(f) be the first derivative of f**3 + f**2/2 + f + 1. Let p be c(-1). Factor m**3 + 0*m**p + m**3.
2*m**3
Let l = -5 + 9. Let g be -3 + l - 15/21. Factor 4/7*m**3 + 0*m + 2/7*m**2 + g*m**4 + 0.
2*m**2*(m + 1)**2/7
Let i(n) be the second derivative of 0*n**2 - 6*n - 1/54*n**4 + 1/135*n**6 + 0*n**3 + 0 + 1/189*n**7 - 1/90*n**5. Factor i(p).
2*p**2*(p - 1)*(p + 1)**2/9
Let s(c) be the first derivative of 3*c**7/1400 + c**6/120 + c**5/100 + c**3 + 3. Let d(o) be the third derivative of s(o). Solve d(q) = 0.
-1, -2/3, 0
Factor 4/7 + 12/7*q + 8/7*q**2 - 8/7*q**3 - 4/7*q**5 - 12/7*q**4.
-4*(q - 1)*(q + 1)**4/7
Let f(x) be the second derivative of -9*x**5/40 - 7*x**4/8 - 5*x**3/4 - 3*x**2/4 - 9*x. Factor f(l).
-3*(l + 1)**2*(3*l + 1)/2
Let y(b) be the first derivative of -b**6/12 - 7*b**5/10 - 9*b**4/4 - 11*b**3/3 - 13*b**2/4 - 3*b/2 - 15. Factor y(i).
-(i + 1)**4*(i + 3)/2
Let h = 21/8 + -15/8. What is t in -3/4*t**3 - 9/4*t**2 + h*t**4 + 3/2 + 3/4*t = 0?
-1, 1, 2
Let u(o) = 14*o**3 - 59*o**3 - 4*o - 7*o - 5 + 39*o**2. Let l(i) = -1. Let n(f) = 6*l(f) - u(f). Find v, given that n(v) = 0.
1/5, 1/3
Let i(p) = 2*p**2 - 13*p - 3. Let n(m) = -2*m**2 + 12*m + 2. Let l(x) = -2*i(x) - 3*n(x). Let l(w) = 0. What is w?
0, 5
Let s be (0 - (-3)/(-36))/(-1). Let u(l) be the third derivative of -s*l**4 + 1/60*l**5 + 0*l**3 - 3*l**2 + 0*l + 0. Factor u(v).
v*(v - 2)
Let b be 12/(-4)*(-4)/(-12). Let a be b/(2/(-6)*1). Solve 0*p**2 + 2/9*p**4 - 2/3*p**a + 0 + 8/9*p = 0.
-1, 0, 2
Let d(c) be the first derivative of -2*c**3/9 + 20*c**2/3 - 38*c/3 + 1. Determine s, given that d(s) = 0.
1, 19
Let g be (-16)/70 + 12/28. Let a(w) be the second derivative of 0 - g*w**2 + 1/10*w**4 - 2/15*w**3 + w. Find o, given that a(o) = 0.
-1/3, 1
Let m(k) be the first derivative of -5*k**7/63 + k**6/10 + 2*k**5/15 - k**4/4 + k**3/9 + 3*k + 1. Let i(f) be the first derivative of m(f). Solve i(s) = 0.
-1, 0, 2/5, 1/2, 1
Let b(z) = 6*z**2 - 8*z - 23. Let x(a) = 5*a**2 - 8*a - 22. Let h = -23 - -30. Let y(f) = h*x(f) - 6*b(f). Factor y(d).
-(d + 4)**2
Let q = -4 - -7. Factor 2*f**5 - 9*f**4 - 4*f**2 - 5*f**5 - f**2 + 2*f**2 - 9*f**q.
-3*f**2*(f + 1)**3
Let b be 10/(-4)*(1 - 3). Let g = 7 - b. Let s**3 - s**2 + 5*s + g - s**2 + 6*s**2 = 0. What is s?
-2, -1
Let w(z) be the first derivative of z**4/20 - z**3/15 - z**2/5 - 26. Determine h so that w(h) = 0.
-1, 0, 2
Let u = 123 + -613/5. Factor 2/5*w**3 - u*w - 2/5 + 2/5*w**2.
2*(w - 1)*(w + 1)**2/5
Solve 1/2 - 3/2*f - 1/2*f**3 + 3/2*f**2 = 0.
1
Let 7*x**2 + 12*x**3 + 0*x**3 + x**2 - 8*x**3 = 0. Calculate x.
-2, 0
Let x be (-3)/(-14) + (-4)/(-14). Let h = 3 + -1. Let 0 - x*a**3 + 1/2*a + 0*a**h = 0. What is a?
-1, 0, 1
Factor 26/7*h**2 - 24/7*h + 2/7*h**4 - 12/7*h**3 + 8/7.
2*(h - 2)**2*(h - 1)**2/7
Let g(j) be the third derivative of 0 + 0*j - 2*j**2 - 1/2*j**4 + 1/35*j**7 + 1/3*j**3 + 2/5*j**5 - 1/6*j**6. Factor g(d).
2*(d - 1)**3*(3*d - 1)
Let z(k) be the second derivative of -k**5/60 + k**4/18 + 2*k**3/9 - 4*k**2/3 - 5*k. Determine v, given that z(v) = 0.
-2, 2
Let w(j) be the third derivative of j**8/840 - j**7/210 + j**5/30 - j**4/12 + j**3/3 + 4*j**2. Let r(q) be the first derivative of w(q). Factor r(v).
2*(v - 1)**3*(v + 1)
Suppose x = -3*x + 20. Let p = 6 - 3. Factor -k**5 + 3*k - k**5 - 2*k**p + 3*k**4 - 1 - 2*k**2 + k**x.
-(k - 1)**4*(k + 1)
Let i(d) be the second derivative of 5*d**7/189 + 7*d**6/135 + d**5/45 - 5*d. Factor i(w).
2*w**3*(w + 1)*(5*w + 2)/9
Let k(o) = 2*o**2 + 4*o - 3. Let g(t) = t**2 + t - 1. Let h(y) = 3*g(y) - k(y). Determine s so that h(s) = 0.
0, 1
Suppose 12/5*x**4 + 16/5*x + 0 + 48/5*x**2 + 44/5*x**3 = 0. What is x?
-2, -1, -2/3, 0
Let y(p) be the second derivative of -1/33*p**3 + 2*p + 0*p**2 + 0 - 5/66*p**4. Factor y(g).
-2*g*(5*g + 1)/11
Let i be 27/(-78) - (-3)/18*3. Factor 4/13*t**3 - 2/13*t**4 - i*t + 4/13*t**2 - 2/13*t**5 - 2/13.
-2*(t - 1)**2*(t + 1)**3/13
Suppose -2*x - 3*x + 2*g + 20 = 0, 0 = 2*x - 3*g - 19. Suppose 0 = -q + 3 + x. Suppose -w + 0*w**q + 0*w**4 - 2*w**2 + 2*w**4 + w**5 = 0. What is w?
-1, 0, 1
Let s(k) be the second derivative of k**4/6 + k**3/3 - 2*k**2 + 6*k. Let s(d) = 0. What is d?
-2, 1
Let u be 85/(-20) + 4 + 43/140. Let d(g) be the first derivative of -1/7*g**2 + 0*g + u*g**5 - 3/14*g**4 + 2/7*g**3 + 2. Factor d(k).
2*k*(k - 1)**3/7
Let h(i) be the third derivative of -i**6/120 - i**5/60 + i**4/24 + i**3/6 + 14*i**2. Factor h(f).
-(f - 1)*(f + 1)**2
Let p(a) = 3*a**3 - a**2 - 3*a + 1. Let i(x) = 4*x**3 - 2*x**2 - 4*x + 2. Let k(w) = -w**2 + 4*w - 1. Let d be k(3). Let l(o) = d*i(o) - 3*p(o). Factor l(h).
-(h - 1)*(h + 1)**2
Let y(x) be the second derivative of x**4/4 - 5*x**3/6 - 5*x**2/2 - 3*x. Let r(n) = n**2 - n - 1. Let k(l) = -5*r(l) + y(l). Factor k(m).
-2*m**2
Let c = -239/6 - -40. Let -1/6 + 1/6*x**2 + c*x - 1/6*x**3 = 0. What is x?
-1, 1
Suppose -28 = -5*h - u, -2*h + 3*h = u + 2. Suppose -19 = -h*x + 1. Determine w so that -w**4 + 2*w**4 + w**x = 0.
0
What is m in -129/7*m**3 - 12/7*m - 3*m**5 + 0 + 72/7*m**2 + 90/7*m**4 = 0?
0, 2/7, 1, 2
Solve b**2 + 0 + 1/3*b**4 - b**3 - 1/3*b = 0 for b.
0, 1
Let c(n) be the first derivative of n**5/20 + 3*n**4/16 + n**3/6 - 11. Solve c(h) = 0 for h.
-2, -1, 0
Let u = -4 + 6. Suppose 2*s + s + 21 = 3*d, 5*s = -3*d - 19. What is b in 4*b**2 - 6 - d*b**u + 4 = 0?
-1, 1
Let z(o) be the third derivative of -1/10*o**3 - 2*o**2 - 1/350*o**7 + 1/10*o**4 + 1/50*o**6 + 0*o + 0 - 3/50*o**5. Suppose z(q) = 0. What is q?
1
Let h(j) = -4*j + 8. Let p(y) = -y**2 - 4*y + 7. Let m(t) = 5*h(t) - 6*p(t). Solve m(l) = 0 for l.
-1, 1/3
Let x be (-14)/(3 + -6 + 2). Factor 0 - 8 - 10*z - 10*z**2 + 0 - x*z.
-2*(z + 2)*(5*z + 2)
Suppose 5*y + 6 = s + 23, -3*y = -4*s. Let b(u) be the first derivative of -s + 0*u - 1/11*u**2 + 4/33*u**3 - 1/22*u**4. Find k, given that b(k) = 0.
0, 1
Let f(u) be the second derivative of -7*u + 0 - u**4 + u**2 - 1/5*u**6 - 4/5*u**5 + 0*u**3. Suppose f(l) = 0. What is l?
-1, 1/3
Let 8/11 + 2/11*s + 2/11*s**5 + 8/11*s**4 - 16/11*s**2 - 4/11*s**3 = 0. What is s?
-4, -1, 1
Find n such that 2 + 3*n - 6*n**2 - 2 - 41*n**3 + 44*n**3 = 0.
0, 1
Let y = 31 - 27. Let a(s) be the second derivative of 2*s + 1/3*s**2 + 0*s**3 - 1/18*s**y + 0. Factor a(w).
-2*(w - 1)*(w + 1)/3
Suppose -4*b = 5*n + 12, n + 0 + 8 = 2*b. Suppose -b*c = 5*f + 2 + 12, 3*f + 27 = 5*c. Suppose 4/3*z**2 + 0 - 2/3*z + 2*z**c = 0. Calculate z.
-1, 0, 1/3
Let y(t) be the third derivative of 0*t**3 + 1/60*t**6 + 0*t**4 - 2/105*t**7 + 0*t - 1/168*t**8 + 2*t**2 + 0 + 1/15*t**5. Suppose y(n) = 0. What is n?
-2, -1, 0, 1
Let a(q) be the first derivative of -q**6/540 + q**5/90 - 10*q**3/3 + 3. Let f(d) be the third derivative of a(d). Suppose f(k) = 0. Calculate k.
0, 2
Factor -4/3*b**2 + 0*b**3 + b**4 + 0*b + 0 - 1/3*b**5.
-b**2*(b - 2)**2*(b + 1)/3
Let a(k) be the third derivative of -k**6/240 - k**5/120 - 3*k**2. Factor a(l).
-l**2*(l + 1)/2
Suppose 9*n**2 - n**3 + 3*n**3 - 2*n**3 + 3*n**3 = 0. Calculate n.
-3, 0
Let d(x) be the second derivative of -x**8/1680 - x**4/2 - 2*x. Let p(w) be the third derivative of d(w). Factor p(i).
-4*i**3
Let d(h) be the third derivative of -h**7/525 + 2*h**6/75 + 66*h**2. Determine f, given that d(f) = 0.
0, 8
Let r(o) be t