/96). Factor 2/7*r**2 - m*r + 8/7.
2*(r - 2)**2/7
Let r(u) = -3*u**5 - 3*u**4 + 3*u**3 + 3*u**2. Let j = 16 + -5. Let v = j - 17. Let z(c) = c**5 - c**3. Let x(h) = v*z(h) - r(h). Determine k so that x(k) = 0.
-1, 0, 1
Let k(j) be the third derivative of -j**5/150 - 11*j**4/60 + 44*j**2. Factor k(g).
-2*g*(g + 11)/5
Let z = 19051/4 + -209537/44. Determine n so that z*n + 2/11*n**2 - 8/11 = 0.
-4, 1
Suppose 4*h = -2*h + 24. Determine o so that 2*o**4 - 15*o**2 + 3*o**h + 8*o + 0*o**4 + 2*o = 0.
-2, 0, 1
Suppose 2*y - 3*s = -12, 4*y = 5*y + 8*s - 51. Factor -5/3*d**3 - y*d**2 - 7/3*d - 1/3*d**4 - 2/3.
-(d + 1)**3*(d + 2)/3
Let v(a) be the third derivative of a**7/525 - a**6/50 + a**5/150 + 2*a**4/5 + 16*a**3/15 - 14*a**2 + 4. Factor v(j).
2*(j - 4)**2*(j + 1)**2/5
Let n be (-6)/(-21)*(-252)/(-45). Let l(r) be the first derivative of 2/3*r**6 + r**4 + 1 + 0*r**2 + n*r**5 + 0*r + 0*r**3. Let l(p) = 0. What is p?
-1, 0
Let l(m) be the first derivative of -5*m**4/4 + 5*m**3/3 + 15*m**2 - 71. Solve l(j) = 0.
-2, 0, 3
Factor -183*h - 2065 - 359*h - 3*h**2 + 86*h - 15263.
-3*(h + 76)**2
Suppose 0 = -4*y - 2*x + 10, -3*x + 5 = -y - 10. Suppose y = 4*q + 1 - 9. Let 4*d**2 - q*d**4 - 6*d**2 + 4*d**4 = 0. What is d?
-1, 0, 1
Let h(j) be the second derivative of -3*j**4/28 + 43*j**3/14 + 45*j**2/7 + 11*j. Find l such that h(l) = 0.
-2/3, 15
Let b(r) = -5*r**3 + 25*r**2 - 22*r + 2. Let o(s) = s - 1. Suppose 13*p = 3*p + 20. Let a(z) = p*o(z) + b(z). Let a(t) = 0. What is t?
0, 1, 4
Let t(u) = 35*u**2 + 10*u - 31. Let x(m) = 6*m**2 - 1. Let b(s) = -t(s) + 6*x(s). Solve b(c) = 0 for c.
5
Let r(c) be the first derivative of 2*c**6/3 - 56*c**5/5 + 60*c**4 - 96*c**3 + 7. Let r(g) = 0. What is g?
0, 2, 6
Let s(x) be the second derivative of -x**6/10 + 3*x**5/5 - 5*x**4/4 + x**3 + 81*x. Factor s(d).
-3*d*(d - 2)*(d - 1)**2
Let v(w) be the first derivative of 0*w + 24 - 1/9*w**3 - 1/6*w**2. Suppose v(p) = 0. What is p?
-1, 0
Let o be 0 + (1/(-3))/(1/(-9)). Let s be (-4)/(-24) - (-2)/24. Determine b, given that -1/8*b**2 + 0*b + 0 - s*b**o - 1/8*b**4 = 0.
-1, 0
Factor 1/7*x**4 - 2/7*x**3 - 1/7*x**2 + 2/7*x + 0.
x*(x - 2)*(x - 1)*(x + 1)/7
Let v(z) be the second derivative of 2*z**6/105 + 9*z**5/35 + 4*z**4/3 + 24*z**3/7 + 32*z**2/7 + 193*z - 2. Suppose v(o) = 0. What is o?
-4, -2, -1
Let j(r) = -4*r**4 - 2*r**2 + 5*r - 4. Let s(q) be the second derivative of q**6/30 - q**3/6 + q**2/2 - 10*q. Let w(v) = -j(v) - 5*s(v). Solve w(m) = 0.
-1, 1
Let a(m) be the first derivative of 2*m**3/39 - 76*m**2/13 + 2888*m/13 + 93. Solve a(g) = 0 for g.
38
Let s(h) be the third derivative of 0 - 1/15*h**5 + 11*h**2 + 4/3*h**4 - 14/3*h**3 + 0*h. Solve s(j) = 0 for j.
1, 7
Let w(f) be the first derivative of -2*f**5/5 - 12*f**4 - 44*f**3 - 64*f**2 - 42*f - 931. Factor w(d).
-2*(d + 1)**3*(d + 21)
Suppose -2*o = -w + 6, -2*w - 51 = -2*o - 59. Let a(k) be the first derivative of 4/3*k - 1/6*k**4 + 0*k**3 - 3 + k**w. Factor a(n).
-2*(n - 2)*(n + 1)**2/3
Let n(s) be the first derivative of 17 + 0*s + 3/10*s**2 + 0*s**3 - 3/20*s**4. Factor n(m).
-3*m*(m - 1)*(m + 1)/5
Let l(s) be the first derivative of s**5/195 + 5*s**4/156 + 2*s**3/39 - 3*s**2/2 + 9. Let z(c) be the second derivative of l(c). Factor z(w).
2*(w + 2)*(2*w + 1)/13
Let r(q) be the second derivative of 3*q**5/20 - 243*q**4/4 + 19683*q**3/2 - 1594323*q**2/2 + 169*q. Find u such that r(u) = 0.
81
Let b(d) = d**4 - 1. Let z(x) = 7*x**4 - 18*x**3 + 36*x**2 - 24*x - 4. Suppose 116*y = 112*y + 16. Let a(r) = y*b(r) - z(r). Determine g, given that a(g) = 0.
0, 2
Let z(o) be the third derivative of -o**8/1344 + o**7/840 + o**6/120 - o**5/60 + 10*o**2 + 4*o. Solve z(u) = 0 for u.
-2, 0, 1, 2
Determine y so that -8/3 - 2/3*y**4 + 4/9*y**3 + 14/3*y**2 + 8/9*y = 0.
-2, -1, 2/3, 3
Suppose 3*j = -2*i + 31 - 28, 0 = -5*i - 3*j + 3. Factor 3/4 - 3/2*m**2 + 0*m + i*m**3 + 3/4*m**4.
3*(m - 1)**2*(m + 1)**2/4
Let q(k) be the first derivative of -k**6/15 - k**5/5 + k**4/2 + 8*k**3/3 + 4*k**2 + 25*k - 45. Let z(w) be the first derivative of q(w). Factor z(u).
-2*(u - 2)*(u + 1)**2*(u + 2)
Let n(y) = 3*y**2 + 2 + 6*y**2 - 11*y**2. Let i(q) = q**2 - 1. Let z(v) = 6*i(v) + n(v). Factor z(t).
4*(t - 1)*(t + 1)
Let g(b) = 238*b**5 - 856*b**4 + 430*b**3 + 488*b**2 + 112*b + 14. Let t(w) = -2*w**5 - w**4 + w**2 + 1. Let i(n) = -g(n) + 6*t(n). Let i(p) = 0. Calculate p.
-1/5, 2
Let x(i) be the third derivative of 0*i + 5/42*i**7 + 9*i**2 - 1/3*i**5 + 0 + 0*i**3 - 1/3*i**6 + 0*i**4. Determine k so that x(k) = 0.
-2/5, 0, 2
Let j(r) be the first derivative of 4 - 1/24*r**4 + 11/18*r**3 + 3/2*r - 19/12*r**2. Suppose j(s) = 0. Calculate s.
1, 9
Let b = -826/9 + 92. Let n(u) be the first derivative of -b*u**3 + 1/3*u**2 + 0*u + 5. Factor n(q).
-2*q*(q - 1)/3
Let g(z) be the third derivative of 0*z**3 + 0*z + 1/36*z**4 + 1/90*z**5 + 0 - 7*z**2. Let g(m) = 0. What is m?
-1, 0
Let x(k) be the first derivative of k**7/4200 - 11*k**6/1800 + k**5/25 + 3*k**4/10 - k**3/3 - 33. Let i(h) be the third derivative of x(h). Factor i(y).
(y - 6)**2*(y + 1)/5
What is s in 0 + 0*s + 3/8*s**5 + 9/8*s**4 + 0*s**2 + 3/4*s**3 = 0?
-2, -1, 0
Let b(n) be the first derivative of -3*n**5/20 + n**4/8 + n**3 - 9*n**2/4 + 7*n/4 + 374. Suppose b(k) = 0. What is k?
-7/3, 1
Let a(x) be the second derivative of x**7/15 + x**6/12 - 8*x**5/15 + x**4/3 - 5*x**2 + 11*x. Let f(p) be the first derivative of a(p). Factor f(b).
2*b*(b - 1)*(b + 2)*(7*b - 2)
Suppose 0 + 4/5*v + 8/5*v**2 + 7/5*v**5 + 2/5*v**4 - 21/5*v**3 = 0. What is v?
-2, -2/7, 0, 1
Let i = 15 - 10. Solve -2*y**i + y**5 + 5*y**5 + 61 - 20*y**4 - 29 + 4*y**3 + 68*y**2 - 88*y = 0 for y.
-2, 1, 4
Let k(z) be the first derivative of z**3/3 - z**2/2 + 8. Let s(x) = -4*x**3 + 9*x**2 - 9*x + 4. Let t(m) = 3*k(m) + s(m). Factor t(o).
-4*(o - 1)**3
Let o = 3515 - 3512. Factor -4/13 - 2/13*w + 2/13*w**o + 4/13*w**2.
2*(w - 1)*(w + 1)*(w + 2)/13
Let w(o) be the third derivative of o**7/210 + o**6/120 - o**5/20 - o**4/24 + o**3/3 - 166*o**2. Factor w(c).
(c - 1)**2*(c + 1)*(c + 2)
Solve v**3 + 1/4*v**2 - 4*v + 3 - 1/4*v**4 = 0 for v.
-2, 1, 2, 3
Let d = 217 + -129. Let q be d/28 - (-1 + -1)*-1. What is i in q*i - 4/7 - 4/7*i**2 = 0?
1
Solve 0 - 4*j + 64/3*j**2 + 3*j**4 - 47/3*j**3 = 0.
0, 2/9, 2, 3
Factor -1/6*v**2 - 24 - 28/3*v + 1/6*v**3.
(v - 9)*(v + 4)**2/6
Let y(p) be the third derivative of p**9/7560 + p**8/1120 - p**6/90 + p**4/2 + 16*p**2. Let n(s) be the second derivative of y(s). Solve n(q) = 0.
-2, 0, 1
Let x(k) be the second derivative of -k**5/20 - 38*k**4/3 - 2888*k**3/3 - 628*k. Factor x(g).
-g*(g + 76)**2
Let c(q) be the third derivative of -q**6/1260 + q**5/84 - q**4/21 - 2*q**3 - 13*q**2. Let r(w) be the first derivative of c(w). Factor r(n).
-2*(n - 4)*(n - 1)/7
Let h(b) be the first derivative of 0*b + 6 + 15/2*b**2 - 6*b**3 + 3/4*b**4. Solve h(m) = 0 for m.
0, 1, 5
Let a(h) be the third derivative of -h**6/110 - 19*h**5/330 - h**4/44 + 16*h**2 + 12. Factor a(r).
-2*r*(r + 3)*(6*r + 1)/11
Let p be (-10)/(170/119)*-3*6/63. Factor 2/9*c**3 + 8/9*c**p + 8/9*c + 0.
2*c*(c + 2)**2/9
Let m = 19 + 5. Let s be (-12)/2*(-8)/m. Determine k, given that -13*k**2 - 2*k**s - 5*k + 11*k = 0.
0, 2/5
Let n = -8609/3 + 2870. Determine s, given that n*s**3 - 2*s**2 + 3*s - 4/3 = 0.
1, 4
Suppose 0 = 281*z - 370*z. Let z*j - 18/11 + 2/11*j**2 = 0. What is j?
-3, 3
Let 13/4 - 1/4*h - 13/4*h**2 + 1/4*h**3 = 0. What is h?
-1, 1, 13
Suppose 3*f = c - 6, -2*f + 4*f = 5*c - 17. Factor 9 - c + 2 - p**2 - 4.
-(p - 2)*(p + 2)
Let z(y) = -5*y**2 + y. Let f(j) = -20*j + 0*j - j**2 + 9*j + 10*j. Let u(g) = 2*f(g) - z(g). Factor u(l).
3*l*(l - 1)
Suppose r = b + 3*r - 4, -5*r + 8 = 2*b. What is z in 0 + 3/5*z**3 - 3*z**2 + 3/5*z**b + 9/5*z = 0?
-3, 0, 1
Let d(p) be the third derivative of -18*p**2 - 1/60*p**6 - 5/12*p**4 - 2/3*p**3 + 0*p + 0 - 2/15*p**5. Factor d(y).
-2*(y + 1)**2*(y + 2)
Suppose -t**4 - 64*t + 15*t**2 + 32*t**3 + 81*t**2 - 30 - 11*t**4 - 162 - 4*t**5 = 0. What is t?
-3, -2, 2
Let f(u) be the second derivative of -u**4/66 + 16*u**3/11 + 100*u**2/11 - 452*u. What is b in f(b) = 0?
-2, 50
Suppose 5*u + 1160 = 5*y, 2*y + u = -2*u + 444. Let c be 20/6*y/950. Determine n, given that c*n**3 - 12/5*n + 8/5 + 0*n**2 = 0.
-2, 1
Factor -18*s - 3