)/(-3)). Factor 2/7*j**5 + 6/7*j + f*j**w + 0*j**4 - 8/7*j**3 - 4/7.
2*(j - 1)**3*(j + 1)*(j + 2)/7
Let m(b) be the first derivative of -5*b**3/3 - 35*b**2/2 - 30*b + 41. Suppose m(r) = 0. Calculate r.
-6, -1
Let i = 47 - 43. Let o(m) be the second derivative of 1/12*m**i + 0 + 0*m**2 + 0*m**3 - 2*m - 1/20*m**5. Suppose o(s) = 0. Calculate s.
0, 1
Suppose 2*o + o = p + 1, -o = 5*p + 21. Let j be -10*((-690)/(-175) + p). Let j*n + 2/7*n**2 + 0 = 0. Calculate n.
-2, 0
Let f(k) be the second derivative of 3/20*k**5 - 3/20*k**6 + 0 + 2*k - 3/4*k**2 + 1/2*k**4 - 1/2*k**3. Determine r so that f(r) = 0.
-1, -1/3, 1
Let c(n) be the first derivative of -1/5*n**2 + 0*n - 2/5*n**3 - 2/25*n**5 - 9 - 3/10*n**4. Factor c(y).
-2*y*(y + 1)**3/5
Solve -4/17 + 6/17*p**3 - 16/17*p**2 + 14/17*p = 0.
2/3, 1
Let l(x) be the first derivative of 2*x**3/3 + 4*x**2 + 6*x - 12. Solve l(h) = 0.
-3, -1
Suppose -17*a - 12 = -21*a. Let c(v) be the third derivative of 0 + 2/15*v**a + 0*v + 7/60*v**4 - v**2 + 1/30*v**5. Factor c(s).
2*(s + 1)*(5*s + 2)/5
Let q(x) be the second derivative of 3*x**5/160 - 3*x**4/32 - 22*x. Find c, given that q(c) = 0.
0, 3
Let l(j) be the third derivative of -j**6/40 - j**5/10 + 7*j**4/8 - 2*j**3 + 3*j**2. Determine o, given that l(o) = 0.
-4, 1
Let q(c) = -3*c**5 + 6*c**4 + 3*c + 3. Let j(f) = 3*f**5 - 7*f**4 - 4*f - 4. Let b(n) = 3*j(n) + 4*q(n). Suppose b(s) = 0. What is s?
0, 1
Let o be 2/(-9) - (-10)/180*52. Factor o*l**4 + 0*l - 8/3*l**3 - 2/3*l**5 + 0*l**2 + 0.
-2*l**3*(l - 2)**2/3
Determine q so that -4*q**2 + 5 + q**2 - q**2 - q**2 = 0.
-1, 1
Let g(o) be the third derivative of 3*o**6/80 - o**5/20 - 5*o**4/16 + o**3 + 13*o**2. Suppose g(q) = 0. What is q?
-4/3, 1
Suppose 3 = p + 4*h - 3*h, -3*p + 2*h = 1. Let c be 12/2 - (p - -2). Suppose 1/4*y**2 - 1/4*y**4 + 0*y**c + 0 + 0*y = 0. What is y?
-1, 0, 1
Let k = -10 + 17. Suppose -k - 3 = -5*z. Solve 2/5*d**4 + 2/5*d**5 + 0 - 2/5*d**3 + 0*d - 2/5*d**z = 0 for d.
-1, 0, 1
Suppose 48 = 6*s + 2*s. Let i(l) be the third derivative of 1/240*l**5 + 0*l - 1/480*l**s + 0*l**4 + 0 - l**2 + 0*l**3. Factor i(q).
-q**2*(q - 1)/4
Let t(p) be the first derivative of -1 + 2*p - 1/24*p**4 - 1/4*p**2 + 1/6*p**3. Let i(u) be the first derivative of t(u). Find q such that i(q) = 0.
1
Let h(k) be the first derivative of -10*k**6 + 124*k**5/5 - 5*k**4 - 36*k**3 + 40*k**2 - 16*k + 3. Let h(y) = 0. Calculate y.
-1, 2/5, 2/3, 1
Let j(x) be the third derivative of -x**6/20 - x**5/30 + 2*x**4/3 - 4*x**3/3 + 8*x**2. Find d, given that j(d) = 0.
-2, 2/3, 1
Factor 0*i - 2/11*i**2 + 0.
-2*i**2/11
Let n(u) = -u + 7. Let l = -10 - -15. Let f be n(l). Factor 0 + 0*z - 1/3*z**f.
-z**2/3
Let i(x) be the first derivative of -14/3*x**3 + 4*x**2 - 8/7*x + 1. Factor i(d).
-2*(7*d - 2)**2/7
Suppose x + 14 = 3*r, 3*x = 4*r - 22 - 5. Factor -s**4 - 2*s**3 - 1 + 2*s**r + 2*s**2.
-(s - 1)**2*(s + 1)**2
Let 15/4*u - 3/8*u**2 - 27/8 = 0. Calculate u.
1, 9
Let u = 218/455 + 6/65. Solve 0 - 4/7*o**4 + 2/7*o**5 + 0*o**3 - 2/7*o + u*o**2 = 0 for o.
-1, 0, 1
Let v(l) be the second derivative of -l**4/6 - 2*l**3/3 - l**2 + 4*l. Determine k so that v(k) = 0.
-1
Let a(p) be the first derivative of p**7/84 + p**6/24 + p**5/20 + p**4/48 - 3*p + 2. Let m(s) be the first derivative of a(s). Factor m(k).
k**2*(k + 1)**2*(2*k + 1)/4
Let y(g) be the first derivative of g**5/120 - g**3/12 + g**2/2 + 2. Let n(r) be the second derivative of y(r). Suppose n(s) = 0. What is s?
-1, 1
Let h(m) = m**4 + 25*m**3 - 5*m**2 + 7*m. Let f(c) = c**4 + 17*c**3 - 3*c**2 + 5*c. Let i(j) = -7*f(j) + 5*h(j). Factor i(g).
-2*g**2*(g - 2)*(g - 1)
Suppose -4*r = -9*r + 25. Factor -2*g**5 + 4*g**3 + 0*g**r - g**3 - g**3.
-2*g**3*(g - 1)*(g + 1)
Let z(r) = 9*r**3 - 20*r**2 + 4*r + 4. Let i(c) = -10*c**3 + 20*c**2 - 5*c - 5. Let v(t) = -4*i(t) - 5*z(t). Factor v(l).
-5*l**2*(l - 4)
Let t(n) be the second derivative of -n**6/105 + n**5/10 - 11*n**4/42 + 5*n**3/21 + 3*n + 2. What is x in t(x) = 0?
0, 1, 5
Let i(d) be the third derivative of 4/15*d**3 + 1/30*d**5 + 0*d + 2/15*d**4 + 1/300*d**6 - 2*d**2 + 0. Factor i(q).
2*(q + 1)*(q + 2)**2/5
Suppose -2*d = 5*u + 4, 0 = -0*u - u - 2*d - 4. Let r = 5 + u. Find v such that -1024/3*v**4 - 2/3 + 34/3*v + 704/3*v**3 - 224/3*v**2 + 512/3*v**r = 0.
1/4, 1
Let c(z) be the third derivative of -z**8/13440 + z**7/1680 + z**5/20 + z**2. Let l(y) be the third derivative of c(y). Determine j so that l(j) = 0.
0, 2
Let u be 1/(-1) - (-7)/7. Suppose -4*i + 16 - 4 = u. Solve -y**3 - i*y - y**2 + 5*y - y + y**4 = 0.
-1, 0, 1
Let z(c) be the first derivative of c**6/8 - 3*c**4/4 + c**3/2 + 9*c**2/8 - 3*c/2 - 4. Factor z(x).
3*(x - 1)**3*(x + 1)*(x + 2)/4
Let w(v) be the third derivative of v**7/2940 + v**6/420 - v**4/21 + 4*v**3/3 + v**2. Let s(l) be the first derivative of w(l). Factor s(r).
2*(r - 1)*(r + 2)**2/7
Let z(r) be the first derivative of -r**2 + r**3 + 2 + 1/10*r**5 + 1/2*r - 1/2*r**4. Factor z(c).
(c - 1)**4/2
Let p(f) be the first derivative of 2*f**3/15 - 2*f/5 - 7. What is t in p(t) = 0?
-1, 1
Let l(f) = -f**3 + 4*f**2 - 2*f - 1. Let v be l(3). Let k(d) = d**2 + 7*d - 6. Let s be k(-8). What is j in 4*j**2 + 2 - 7*j - 6*j**v - 2*j**s = 0?
-2, 1/4
What is a in -4/11*a**2 + 4/11*a**5 + 0 - 10/11*a**3 - 2/11*a**4 + 0*a = 0?
-1, -1/2, 0, 2
Let h(r) be the first derivative of -r**4/42 + r**3/21 + 2*r**2/7 + r + 1. Let v(b) be the first derivative of h(b). Find c such that v(c) = 0.
-1, 2
Let g = 59 + -25. Let h = -101/3 + g. Let -h + 0*m + 1/3*m**2 = 0. Calculate m.
-1, 1
Let z = 184 + -181. Let g(d) be the second derivative of -1/2*d**2 + 1/12*d**4 - 1/6*d**z + 0 + 1/20*d**5 - 3*d. Factor g(k).
(k - 1)*(k + 1)**2
Solve -8*v - 4*v**2 + 17*v - 9*v - 12*v**3 = 0.
-1/3, 0
Let i(d) = -4*d**2 - 3*d + 1. Let y(c) = 7*c**2 + 6*c - 1. Let n = 4 - 1. Let z(h) = n*y(h) + 5*i(h). Determine f, given that z(f) = 0.
-2, -1
Let k(p) = 9*p**2 - 21*p + 16. Let c(n) = -28*n**2 + 64*n - 48. Let r(a) = 5*c(a) + 16*k(a). Determine g so that r(g) = 0.
2
Let u(h) = -2*h + 12. Let x be u(5). Find f such that -3/2*f**x + 1 + 1/2*f = 0.
-2/3, 1
Suppose 6*y + 3 = 7*y. Let s be 2/((0 - y)/(-3)). Suppose 3/4 + 3/4*o**s + 3/2*o = 0. What is o?
-1
Let n be (-1)/(-2)*(351/(-45) - -9). Solve 6/5 - n*b**2 - 3/5*b = 0.
-2, 1
Let z(c) be the third derivative of 1/630*c**7 - 1/1008*c**8 + c**2 + 0*c**3 + 0 + 1/360*c**6 - 1/180*c**5 + 0*c**4 + 0*c. Factor z(f).
-f**2*(f - 1)**2*(f + 1)/3
Let j = 10729/3 + -3611. Let c = -34 - j. Factor -c*a + 2/3*a**2 + 0.
2*a*(a - 1)/3
Let d = -13/5 + 217/20. Solve 15/4*b**4 + 3/2 + 63/4*b**2 - d*b - 51/4*b**3 = 0.
2/5, 1
Let m(s) = -2*s - 8. Let y be m(-4). Determine n so that 3*n**4 - n**3 + 2*n**5 - n**3 + y*n**2 - n**4 - 2*n**2 = 0.
-1, 0, 1
Let j = -118 - -118. Let 1/2*i + j*i**2 + 0 - 1/2*i**3 = 0. Calculate i.
-1, 0, 1
Suppose 5*y = -x - 14 - 8, 3*x + 3*y + 6 = 0. Suppose 4*k = -4*b + 24, -4*b + x = -0*b - 3*k. Factor 1 + 14*h**2 - 10*h - 3*h**3 + 1 - b*h**3.
-2*(h - 1)**2*(3*h - 1)
Let b(y) be the second derivative of -2*y**5/75 - 11*y**4/90 - 2*y**3/15 + 25*y. Factor b(s).
-2*s*(s + 2)*(4*s + 3)/15
Factor -8 - 2*q**3 + 3*q**2 + 7*q**2 - 4*q**2.
-2*(q - 2)**2*(q + 1)
Suppose -x = 4*x + 3*d, -d = 5. Let k = x + -1. Suppose -2*a**3 - k*a + 2*a + 6*a**4 = 0. What is a?
0, 1/3
Factor 0*b**4 + 0*b**2 - 1/6*b**3 + 1/6*b**5 + 0*b + 0.
b**3*(b - 1)*(b + 1)/6
Let t(h) be the first derivative of -h**8/8400 + h**7/2100 - h**5/300 + h**4/120 + 4*h**3/3 - 6. Let n(v) be the third derivative of t(v). Factor n(b).
-(b - 1)**3*(b + 1)/5
Let x(q) be the first derivative of -3/4*q**4 - 3*q + q**3 + 3/2*q**2 - 2. Factor x(t).
-3*(t - 1)**2*(t + 1)
Let o(m) = -5*m**2 - 10*m + 19. Let u(y) = 11*y**2 + 20*y - 37. Let k(q) = -13*o(q) - 6*u(q). Factor k(v).
-(v - 5)**2
Let j be 28/98 - 4/14. Factor j + 0*o**2 - 2/7*o**4 + 0*o + 2/7*o**3.
-2*o**3*(o - 1)/7
Let x be (-5 - 2)*(-24)/28. Let b be 2/x - (-1)/(-12). Factor 0 + b*j**4 + 1/4*j - 1/4*j**2 - 1/4*j**3.
j*(j - 1)**2*(j + 1)/4
Let f(k) be the third derivative of -k**10/75600 + k**9/18900 - k**8/16800 - k**4/24 + 2*k**2. Let y(s) be the second derivative of f(s). Factor y(c).
-2*c**3*(c - 1)**2/5
Find u, given that 15*u**3 + 9 - 8*u**4 + 3*u**4 - 9 - 10*u**2 = 0.
0, 1, 2
Let l(g) = g**2 - 25*g -