(-6). Factor 3/2 - 15/2*d + o*d**2.
3*(d - 1)*(4*d - 1)/2
Let n(w) be the first derivative of 5*w**3/9 + 5*w**2/6 - 42. Factor n(s).
5*s*(s + 1)/3
Let s(y) be the second derivative of -1/6*y**3 + 1/20*y**5 - 1/12*y**4 - 5*y + 1/2*y**2 + 0. Suppose s(m) = 0. What is m?
-1, 1
Let u(q) be the first derivative of -q**3/3 - 2*q**2 - 4*q - 21. Factor u(j).
-(j + 2)**2
Suppose -3*l - 72 = l. Let t(c) = -37*c**4 - 49*c**3 - 7*c**2 - 5. Let n(v) = 129*v**4 + 171*v**3 + 24*v**2 + 18. Let a(m) = l*t(m) - 5*n(m). Factor a(h).
3*h**2*(h + 1)*(7*h + 2)
Let b = -109 + 111. Find m such that 0*m + 0 + 8/9*m**3 - 2/9*m**b + 2/9*m**4 - 8/9*m**5 = 0.
-1, 0, 1/4, 1
Let r be 0 + ((-147)/(-36) - 4). Let u(h) be the second derivative of -3*h + 1/8*h**2 + 0 + 1/48*h**4 + r*h**3. Solve u(f) = 0 for f.
-1
Suppose -5*w = -4*n - 10, -2 = -4*n - 2*w + 2. Let k(y) be the third derivative of 0*y - y**2 + n - 1/15*y**4 - 1/150*y**5 - 4/15*y**3. Factor k(r).
-2*(r + 2)**2/5
Let d(l) be the third derivative of 32*l**5/195 - 4*l**4/39 + l**3/39 - 8*l**2. Determine o so that d(o) = 0.
1/8
Let n = 7 + -4. Factor 2 - 3*s**3 + 0*s**3 + 2*s**n - s + 4*s.
-(s - 2)*(s + 1)**2
Let a(c) be the first derivative of -c**5/20 + c**4/12 - 3*c - 1. Let s(k) be the first derivative of a(k). Solve s(b) = 0 for b.
0, 1
Let u(q) = 2*q - 4 - 2*q + 0 + 6*q + q**2. Let j be u(-7). Factor 1/2*g + 1/4 - 1/4*g**4 - 1/2*g**j + 0*g**2.
-(g - 1)*(g + 1)**3/4
Let n(m) be the third derivative of -m**7/2520 - m**6/540 - m**5/360 - m**3/6 - 3*m**2. Let w(z) be the first derivative of n(z). Factor w(p).
-p*(p + 1)**2/3
Let u(h) = h - 1. Let t(p) = -6. Let b(a) = -t(a) + u(a). Let r be b(-5). Factor -2/3*x**2 + 2/3 + r*x.
-2*(x - 1)*(x + 1)/3
Suppose 5*x - 5*r = 20, -4*r + 1 = -5*x + 17. Let a(f) be the second derivative of 2*f + x - 3/40*f**5 + 1/60*f**6 + 1/8*f**4 + 0*f**2 - 1/12*f**3. Factor a(i).
i*(i - 1)**3/2
Let k be (-3)/81*56*-3 + -4. Factor -50/9*t**2 - k*t - 2/9.
-2*(5*t + 1)**2/9
Factor 18/7*l**5 + 92/7*l**3 - 60/7*l**2 - 2/7 - 66/7*l**4 + 18/7*l.
2*(l - 1)**3*(3*l - 1)**2/7
Suppose -11*k + 6*k + 20 = 0. Factor 0 + 2/5*n**3 - 2/5*n**2 + 2/5*n**k - 2/5*n.
2*n*(n - 1)*(n + 1)**2/5
Factor -8/5 - 2/5*b**3 + 0*b + 6/5*b**2.
-2*(b - 2)**2*(b + 1)/5
Let f(p) be the third derivative of -p**6/150 - p**5/50 + p**4/30 - 5*p**2. Let f(y) = 0. What is y?
-2, 0, 1/2
Find z such that -2/5*z + 1/5*z**4 + 0 + z**2 - 4/5*z**3 = 0.
0, 1, 2
Solve -1/3*o**2 - 2/3*o - 1/3 = 0.
-1
Let c = -13 - -12. Let a = 1/7 - c. Factor -50/7*t**4 + 20*t**3 - a + 8*t - 138/7*t**2.
-2*(t - 1)**2*(5*t - 2)**2/7
Let c(a) = -3*a**3 + 16*a**2 + a - 10. Suppose 4*m - p = 3*m - 1, -5*p - 4 = -2*m. Let w(f) = f**3 - f**2 + 1. Let n(i) = m*c(i) - 24*w(i). Solve n(t) = 0.
-1, 2/5
Let r(g) = -3*g**2 + 6*g + 9. Let u(j) = -j - 1. Let b = 11 + -17. Let a(p) = b*u(p) - r(p). Let a(d) = 0. What is d?
-1, 1
Let y(m) be the second derivative of m**9/5040 - m**8/2800 - m**7/1400 + m**6/600 - m**3/3 + m. Let k(n) be the second derivative of y(n). Factor k(h).
3*h**2*(h - 1)**2*(h + 1)/5
Let n(u) be the second derivative of 6*u**4 + 0 - 4/3*u**3 + 0*u**2 + 2*u - 16/21*u**7 + 24/5*u**6 - 97/10*u**5. Suppose n(b) = 0. What is b?
0, 1/4, 2
Let h(c) be the first derivative of 2*c**3/3 - 25*c**2/3 + 16*c/3 - 26. Determine a so that h(a) = 0.
1/3, 8
Let r(b) be the first derivative of 2*b**3/9 + 7*b**2/12 - b/3 + 13. Determine v so that r(v) = 0.
-2, 1/4
Let s(n) be the first derivative of n**5/300 + n**2 - 8. Let g(t) be the second derivative of s(t). Solve g(a) = 0 for a.
0
Let u(h) be the third derivative of 1/420*h**7 + 0*h**3 + 0*h**4 - 1/120*h**5 + 1/672*h**8 - 8*h**2 - 1/240*h**6 + 0*h + 0. Let u(k) = 0. Calculate k.
-1, 0, 1
Let w be 742/140 - (-6)/(-20). Suppose -3*g = -b + 5, -b + 0*b + 5*g = -7. Solve 0 + 0*x**b - 2/7*x**w - 4/7*x**3 + 0*x + 6/7*x**4 = 0 for x.
0, 1, 2
Let a(t) = -t - 8. Let j be a(-8). Suppose -v - 4*v = 3*o, v + o = 0. Suppose 1/2*h**4 + 1/2 - h**2 + j*h**3 + v*h = 0. Calculate h.
-1, 1
Let f(m) be the second derivative of 3*m**5/20 - m**4/2 + 28*m. Factor f(q).
3*q**2*(q - 2)
Factor 18/17*g**2 + 4/17*g + 24/17*g**3 + 0 + 10/17*g**4.
2*g*(g + 1)**2*(5*g + 2)/17
Let i = 119/6 + -821/42. Factor 10/7*z + 4/7 - i*z**4 - 2/7*z**3 + 6/7*z**2.
-2*(z - 2)*(z + 1)**3/7
Let l(h) be the third derivative of -h**9/181440 - h**8/20160 - h**7/7560 + h**5/60 + h**2. Let g(p) be the third derivative of l(p). Let g(o) = 0. Calculate o.
-2, -1, 0
Let x = 11 - 25. Let h = -27/2 - x. Let -5/4*g**3 + 0 - h*g - 7/4*g**2 = 0. What is g?
-1, -2/5, 0
Let s(q) be the third derivative of -q**8/1512 + 2*q**7/945 - q**6/540 - 7*q**2. Factor s(j).
-2*j**3*(j - 1)**2/9
Suppose -3*o + 1 + 8 = 0. Solve w**4 + o*w**3 + w**4 - 6*w**3 + w**2 = 0 for w.
0, 1/2, 1
Let s(r) be the first derivative of 0*r**2 + 0*r - 3/10*r**5 + 0*r**3 - 3/16*r**4 + 3. Solve s(q) = 0.
-1/2, 0
Let f(c) be the first derivative of -2 + c + 1/6*c**3 + 1/3*c**4 + 1/5*c**5 + 0*c**2. Let u(b) be the first derivative of f(b). Factor u(p).
p*(2*p + 1)**2
Let u(p) be the second derivative of -p**6/30 - 13*p**5/20 - 5*p**4 - 56*p**3/3 - 32*p**2 - 4*p. Factor u(l).
-(l + 1)*(l + 4)**3
Suppose 0 = -3*l, 4*u + 4*l = 2*u - 78. Let c be 2/4 + u/(-6). Factor 3*p**2 + 3*p**2 - p**4 - c*p**2 - 2*p**3.
-p**2*(p + 1)**2
Let b(x) = 2*x**2 + 3*x - 2. Let r(k) = k + 5*k**2 - 4*k**2 - 2 + k + 1. Let m(n) = 2*b(n) - 3*r(n). Factor m(o).
(o - 1)*(o + 1)
Let m(l) = -l**3 - 5*l**2 - 5*l + 5. Let k be m(-5). Let w be k/12*(-16)/(-130). Factor 6/13*q + w + 2/13*q**2.
2*(q + 1)*(q + 2)/13
Factor -4*y**2 + 0*y**2 + 7*y**2 - 6 + 3*y.
3*(y - 1)*(y + 2)
Factor -1/5*r - 3/5*r**2 - 1/5*r**4 + 0 - 3/5*r**3.
-r*(r + 1)**3/5
Determine r, given that 4*r - 5*r**2 - 26 - 61*r + 7*r - 19 = 0.
-9, -1
Let b(g) be the third derivative of g**7/210 - g**6/60 + g**5/60 - 5*g**2. Determine d so that b(d) = 0.
0, 1
Let k be 594/14 - 90/210. Determine w, given that 259/2*w**3 - 147*w**4 + 4 + 143*w**2 - 343/2*w**5 + k*w = 0.
-1, -2/7, 1
Let u(t) be the third derivative of t**8/112 + t**7/70 - t**6/40 - t**5/20 - t**2. Solve u(r) = 0.
-1, 0, 1
Let a(j) be the second derivative of -5*j**7/42 + 2*j**6/3 - j**5 - 5*j**4/6 + 25*j**3/6 - 5*j**2 - 2*j. Factor a(d).
-5*(d - 2)*(d - 1)**3*(d + 1)
Let j = -103 + 517/5. Factor 1/5*w + 0 + 1/5*w**3 + j*w**2.
w*(w + 1)**2/5
Factor 11 - 13 + 2 + 7*k**3 + 5*k**2 - 2*k.
k*(k + 1)*(7*k - 2)
Let v be (2 - (-40)/(-12))/(4/(-6)). Let m(t) be the second derivative of 0 + 0*t**3 - 1/28*t**7 + v*t - 1/8*t**4 + 0*t**2 + 3/40*t**5 + 1/20*t**6. Factor m(p).
-3*p**2*(p - 1)**2*(p + 1)/2
Let r = -1 - -5. Suppose r*k - 6*k = 6, 2*x = 3*k + 13. Factor -2*t**2 + t**4 - 2*t**x - t**3 + 3*t**2 + t**5.
t**2*(t - 1)*(t + 1)**2
Let q = 36 - 33. Suppose 7 = 5*k - q. Let -5/2*m + 1 + 3/2*m**k = 0. What is m?
2/3, 1
Suppose 0 = -5*w + 4*w + 2. Factor -2*s**3 + 0*s - 4*s**2 + 0*s - w*s.
-2*s*(s + 1)**2
Let h(u) = u**2 - 1. Let f(l) = -5*l**4 + 15*l**2 - 10. Let t(g) = -f(g) + 5*h(g). Factor t(d).
5*(d - 1)**2*(d + 1)**2
What is s in 0*s**3 + 0 + 9/2*s**2 + 3*s - 3/2*s**4 = 0?
-1, 0, 2
Let i = 2 - 0. Suppose -3*h + 5*a - 13 = 0, -h + 27 = i*h + 3*a. What is u in 3*u - 2*u**2 + 2*u - h*u + u**3 = 0?
0, 1
Let d(s) be the third derivative of s**11/582120 - s**9/52920 + s**7/8820 - 7*s**5/60 - 7*s**2. Let v(b) be the third derivative of d(b). Factor v(p).
4*p*(p - 1)**2*(p + 1)**2/7
Suppose 2 + 0 = l. Let h = 7 - 6. Factor -q + 3*q - 2*q - q**l + h.
-(q - 1)*(q + 1)
Let t(w) be the first derivative of -2*w**5/25 + w**4/5 + 2*w**3/15 - 2*w**2/5 - 20. Suppose t(n) = 0. Calculate n.
-1, 0, 1, 2
Let v(g) = -g**4 - g**2 + 1. Let z(y) = -9*y**3 + 0*y - y**5 - 10*y**2 + 3*y**3 + 6 - 10*y**4 - y + 0*y. Let q = 4 - 3. Let a(b) = q*z(b) - 6*v(b). Factor a(p).
-p*(p + 1)**4
Suppose -z = -4*z + 6. Solve t + 2*t**2 - z + t**2 - t**3 - t**2 = 0 for t.
-1, 1, 2
Let x(m) = -2*m**2 - 8*m + 14. Let q(d) = 3*d**2 + 7*d - 13. Let p(h) = -4*q(h) - 5*x(h). Factor p(j).
-2*(j - 3)**2
Let p = 727 + -39257/54. Let d(z) be the second derivative of 0 + p*z**4 + 0*z**3 + 1/90*z**5 - z + 0*z**2. Solve d(i) = 0 for i.
-1, 0
Let i(h) be the third derivative of -h**6/120 - h**5/60 + h**4/6 + 2*h**3/3 + 12*h**2. Determine u so that i(u) = 0.
-2, -1, 2
Suppose -4*v 