b + 2/5*b**3 - 2*b**g = 0.
-1, 0, 2/3, 1
Factor -69*k**2 + 37*k**2 - 16*k - 20*k**3 - 6*k**4 + 2*k**4.
-4*k*(k + 1)*(k + 2)**2
Let y = -29 + 35. Let t(q) be the second derivative of 4*q + 1/12*q**4 - 1/90*q**y + 0*q**5 - 1/9*q**3 + 0*q**2 + 0. Factor t(k).
-k*(k - 1)**2*(k + 2)/3
Let u be (-3)/(1/(4*(-3)/9)). Let j(k) be the second derivative of 7/110*k**5 + 8/33*k**3 + 2*k + 4/11*k**2 - 19/66*k**u + 0. Factor j(p).
2*(p - 2)*(p - 1)*(7*p + 2)/11
Solve 15*d**5 + 3*d**4 - 21*d**2 - 6*d - 9*d**5 - 11*d**3 - 7*d**3 = 0 for d.
-1, -1/2, 0, 2
Let s be 490/275 - 0 - 6/33. Find j, given that -s - 2/5*j**3 - 16/5*j - 2*j**2 = 0.
-2, -1
Let m be 6 + (54/30 - 7). Factor -6/5*d + 2/5*d**2 + m.
2*(d - 2)*(d - 1)/5
Factor 64/3 + 4*u**2 + 16*u + 1/3*u**3.
(u + 4)**3/3
Let k be (-2 + 1)*(4 + -4). Suppose -3*z = 5*n - 0*n + 11, 0 = 5*n + 20. Determine w, given that 8/5*w**4 + 0 + 0*w + k*w**z - 2/5*w**2 = 0.
-1/2, 0, 1/2
Let v(h) be the third derivative of h**5/60 - h**4/4 + 5*h**3/6 + h**2. Let t be v(6). Factor -2*g**t - g + g + 2*g**3.
-2*g**3*(g - 1)*(g + 1)
Suppose -n + 5*n - y - 7 = 0, 0 = -2*y + 2. Find z, given that n*z**2 - 2*z + 3*z**2 + 0*z - 6*z**2 = 0.
-2, 0
Let g = -7 + 10. Let i(y) be the second derivative of 1/12*y**4 + 1/20*y**5 + y + 0 - 1/4*y**2 - 1/84*y**7 - 1/12*y**g - 1/60*y**6. Factor i(m).
-(m - 1)**2*(m + 1)**3/2
Let p = 2 + -2. Suppose p = -0*s + 3*s - 12. Factor 0*g**5 - 2*g**s + g**5 - 3*g**5.
-2*g**4*(g + 1)
Let i(o) be the first derivative of o**6/120 + 7*o**5/80 + 3*o**4/8 + 5*o**3/6 + o**2 + 5*o - 1. Let y(q) be the first derivative of i(q). Factor y(a).
(a + 1)*(a + 2)**3/4
Let l(t) be the second derivative of t**4/60 - t**3/30 + 11*t. Factor l(d).
d*(d - 1)/5
Let h(r) = -r**4 + r**3 - r. Let b(s) = -9*s**4 + 7*s**3 - 11*s. Let d(q) = -2*b(q) + 22*h(q). Solve d(k) = 0.
0, 2
Let n = -1061/28 + 274/7. Find f such that n*f - 1/2 - 7/4*f**4 - 5/4*f**3 + 9/4*f**2 = 0.
-1, 2/7, 1
Let l(k) = 4*k - 6. Let y be l(2). Suppose 0*x - 4*x**3 - 4/3*x**y + 5*x**5 + 0 + 1/3*x**4 = 0. Calculate x.
-2/3, -2/5, 0, 1
Let j(h) be the third derivative of h**8/840 + 2*h**7/525 + 3*h**2. Factor j(n).
2*n**4*(n + 2)/5
Let w(a) = -a**3 + a**2 + 2*a + 4. Let s be w(0). Let d(f) be the second derivative of 0 - 2/15*f**s + 2*f - 1/5*f**2 - 1/3*f**3. Solve d(u) = 0.
-1, -1/4
Let r(o) be the first derivative of -o**5/15 - o**4/3 - o**3/3 + 2*o**2/3 + 4*o/3 - 19. Suppose r(t) = 0. Calculate t.
-2, -1, 1
Let j(m) be the first derivative of -1/2*m**2 - 1/3*m**3 + 2 - 1/12*m**4 - 1/3*m. Factor j(u).
-(u + 1)**3/3
Let j be 1/(-1)*(2 - 39). Suppose 5*l = 5*n + j - 7, -n - 14 = -5*l. Factor 2/9*d**l + 2/9*d + 0.
2*d*(d + 1)/9
Let l be ((-1)/(-3) + 29/(-87))/2. Find r such that 1/5*r + l - 1/5*r**2 = 0.
0, 1
Let x = -50 + 52. Factor -1/4*z**x + 1/4*z + 0.
-z*(z - 1)/4
Let x = 24 + -35. Let o be 2/x - (-105)/33. Factor -1/3*c**4 + 1/3*c**o - 1/3*c + 0 + 1/3*c**2.
-c*(c - 1)**2*(c + 1)/3
Let l(y) = y - 1. Let d(a) = -4*a**4 + 4*a**2 + 8*a - 8. Let f(g) = d(g) - 8*l(g). Factor f(n).
-4*n**2*(n - 1)*(n + 1)
Let a(g) = -g - 9. Suppose -2*h + 3*w - 23 = 2*w, w = 5. Let s be a(h). Factor 0 + s*m + 0*m**4 + 0*m**3 + 0*m**2 - 2/7*m**5.
-2*m**5/7
Let p(a) be the first derivative of -a**3/24 + 3*a**2/16 + 5*a/4 - 18. What is r in p(r) = 0?
-2, 5
Let t be 9/(-3) - (1 + -49). Let d be 2 - (-3)/1 - -1. Find u such that d + t*u**4 - 9*u + 12*u + 19*u - 57*u**3 - 15*u**2 - u = 0.
-2/5, -1/3, 1
Let a(c) = c**3 - 5*c**2 - 4*c - 7. Let g be a(6). Let s = 98/201 - -12/67. Solve 13/3*k**4 + 0*k + 2*k**g + 3*k**3 + 0 + s*k**2 = 0 for k.
-1, -2/3, -1/2, 0
Let s be ((-2)/(-12))/((-1)/(-2)). Factor -1/3*w + 0*w**2 + 0 + s*w**3.
w*(w - 1)*(w + 1)/3
Let j be (2/6)/(1/24). Let i = -8 + j. Suppose 2/7*l**3 + 0 + 4/7*l**4 + 0*l + 2/7*l**5 + i*l**2 = 0. What is l?
-1, 0
Let c(k) = 2*k - 2. Let u(i) = -i + 11. Let a be u(7). Let m be c(a). Determine q so that m*q**5 - q**5 + 2*q**3 - 4*q**4 - 3*q**5 = 0.
0, 1
Let g(l) be the third derivative of 13*l**5/15 + l**4/3 + l**2 + 3*l. Factor g(b).
4*b*(13*b + 2)
Let f = -27/5 - -199/35. Factor 0 + 2/7*m**3 - 4/7*m**5 + 0*m**2 + f*m**4 + 0*m.
-2*m**3*(m - 1)*(2*m + 1)/7
Let b(o) be the first derivative of o**4/16 - 5*o**3/12 + o**2 - o + 5. Solve b(l) = 0.
1, 2
Let n be 8/(-14) - 18/(-7). Solve 1/3*g + g**3 - g**n + 0 - 1/3*g**4 = 0 for g.
0, 1
Let l = -17 + 359/21. Let y(r) be the first derivative of 2/7*r - 1/14*r**4 - l*r**3 + 1/7*r**2 + 2. Let y(c) = 0. What is c?
-1, 1
Suppose -x + i + 13 = -2*i, 0 = 3*x + 4*i. Let y = x - 0. Let y - 3*q**4 + 52*q**4 - 5*q - 3*q**2 + 25*q - 70*q**3 = 0. Calculate q.
-2/7, 1
Factor 294 - 42*a + 3/2*a**2.
3*(a - 14)**2/2
Let m(i) be the second derivative of -i**5/30 + i**4/12 + 2*i**3/3 - i**2 + 4*i. Let d(k) be the first derivative of m(k). Factor d(j).
-2*(j - 2)*(j + 1)
Let d(m) be the third derivative of -9/20*m**5 - 1/70*m**7 + 0 - 5*m**2 - 7/8*m**4 + 0*m - 1/8*m**6 - m**3. Factor d(b).
-3*(b + 1)**3*(b + 2)
Let t = -51 - -53. Solve 4/3 + 2/3*f - 2/3*f**t = 0.
-1, 2
Let g(d) = 4 + d + d**2 + 4*d**3 - 3 - 3*d**3. Let u(q) = 3*q**2 + 2*q**3 - q**3 - 2*q - 7 - 3*q**3. Let y(b) = 5*g(b) + u(b). Solve y(m) = 0 for m.
-2, -1, 1/3
Suppose 14 + 34 = 24*r. Factor 0*t**4 + 2/9*t**5 + 0 - 2/9*t**3 + 0*t + 0*t**r.
2*t**3*(t - 1)*(t + 1)/9
Let n = -2 - -7. Suppose 4*u - u - 1 = s, 0 = n*s - 25. Solve 24/5*q**3 - 2/5 - 12/5*q - u*q**2 = 0.
-1/3, -1/4, 1
Suppose 0*t + 4*t = 4*v, 5*v + 5*t + 50 = 0. Let n be (v - -4)*(-3)/1. Factor 0 + 0*o + 2/3*o**n - 2/3*o**2.
2*o**2*(o - 1)/3
Let d = 6 - 4. Factor 4*h**3 + h**2 - 2*h**2 - 6*h**3 - d*h - 3*h**2.
-2*h*(h + 1)**2
Let h = 123 - 123. Let m(q) be the second derivative of 1/2*q**3 + 0*q**4 - 3*q - 3/20*q**5 + 3/4*q**2 + h - 1/20*q**6. Factor m(i).
-3*(i - 1)*(i + 1)**3/2
Solve -8 - 17*c**4 + 20*c**4 + 12*c - 2*c**5 - 24*c**3 + 14*c**5 + 16*c**2 - 11*c**4 = 0 for c.
-1, 2/3, 1
Let l(b) = -16*b**4 - 4*b**3 - 20*b. Let n(w) = -w. Let x(k) = -l(k) + 20*n(k). Solve x(d) = 0 for d.
-1/4, 0
Let q(h) = 13*h**2 + 31*h - 34. Let c(m) = -11*m**2 - 32*m + 35. Let p(l) = 5*c(l) + 4*q(l). Solve p(x) = 0 for x.
-13, 1
Let d(k) be the third derivative of -1/540*k**5 - k**2 + 1/3*k**3 + 0*k**4 + 0 + 1/1620*k**6 + 0*k. Let m(c) be the first derivative of d(c). Factor m(h).
2*h*(h - 1)/9
Let g = 13 + -13. Let l(s) be the third derivative of s**2 - 1/504*s**8 - 1/180*s**6 + 0 + 0*s**4 + 0*s**3 + g*s**5 - 2/315*s**7 + 0*s. Factor l(q).
-2*q**3*(q + 1)**2/3
What is n in 5*n**5 + 0 + 0*n**2 - 15/4*n**3 + 5/4*n**4 + 0*n = 0?
-1, 0, 3/4
Let q(v) be the third derivative of v**8/112 - v**7/70 - v**6/40 + v**5/20 - 5*v**2. Factor q(m).
3*m**2*(m - 1)**2*(m + 1)
Let p(f) = -17*f**2 + 8. Let a(q) = 11*q**2 - 5. Let z(g) = 8*a(g) + 5*p(g). Factor z(s).
3*s**2
Suppose 2*m = 5 + 1. Determine v so that -m*v + 4*v + 1 - 2*v**3 - 6*v**2 - 2*v + 3*v**5 + 5*v**4 = 0.
-1, 1/3, 1
Let b be 0*4*(-4)/(-32). Let a(v) be the third derivative of -1/180*v**5 + 0*v**3 - v**2 + b*v**4 + 0 + 0*v. Factor a(n).
-n**2/3
Let v = 0 + 2. Find p such that 0 + 5*p + p**3 - 4*p**v + 0 - 2 = 0.
1, 2
Find w such that -4*w - 1/2*w**2 - 8 = 0.
-4
Determine a so that -27*a**3 - 12*a**4 - 4*a + 36*a**2 + 15*a + a - 9*a**4 = 0.
-2, -2/7, 0, 1
Let g(n) be the second derivative of -1/56*n**7 + 0 + 0*n**2 - 1/40*n**6 + 0*n**5 + 0*n**3 - n + 0*n**4. What is f in g(f) = 0?
-1, 0
Let l(a) be the second derivative of -a**4/4 + a**3/2 - 2*a. Solve l(v) = 0.
0, 1
Let o(z) be the third derivative of -z**5/60 - z**4/24 - 2*z**2. Solve o(a) = 0 for a.
-1, 0
Suppose -3*n + 8 = n. Let r = 3/92 - -513/1196. Factor 0 + 2/13*k**4 + 0*k**3 - r*k**n + 4/13*k.
2*k*(k - 1)**2*(k + 2)/13
Let w(f) = 6*f**2 - 4*f. Let b(g) = -g**2 + g. Let v(a) = 10*b(a) + 2*w(a). Let l(n) = -n**2 - n. Let p(z) = 13*l(z) + 6*v(z). Factor p(k).
-k*(k + 1)
Let k(f) be the first derivative of f**4/26 - 8*f**3/39 - 1. Solve k(l) = 0.
0, 4
Let t be 144/(-80)*(-4)/((-48)/(-20)). Suppose 1/2*f - 1/6*f**5 + 1/2*f**4 - 1/3*f**2 - 1/6 - 1/3*f**t = 0. Calculate f.
-1, 1
Factor 0 + 1/3*y**2 + 0*y + 4/3*y**3.
y**2*(4*y + 1)/3
Let o be (-9)/30 - (-7)/10. Factor -o*k**3 + 2*k + 6/5*k**2 + 4/5 - 2/5*k**4.
-2*(k - 2)*(k + 1)**3/5
Let i(h) = h**3 + h**2 - 1. Let p(j) = 28*j**3 + 20*j**2 - 24. Suppose