*3 - 10*y**2 + 14*y - 8. Let b(m) = -4*q(m) - 22*s(m). Factor b(c).
-4*(c - 2)**2*(c - 1)
Suppose 0 = -w + 2*r - 1 - 2, 20 = 5*r. What is v in -v**5 - v**2 - 2*v**w + 5*v**5 - 3*v**4 + 3*v**3 - v**5 = 0?
0, 1
Let n = -14 + 22. Let 30 - 8*j**2 - 2*j**2 - 28 - n*j = 0. Calculate j.
-1, 1/5
Let b = 49 + -47. Let o(g) be the third derivative of 1/180*g**5 - 1/9*g**3 - 1/72*g**4 + 3*g**b + 0 + 0*g. Factor o(c).
(c - 2)*(c + 1)/3
Let y be (-65)/325 - 2*(-8)/5. Factor -1/3*z**y + 1/3*z**2 + 0*z + 0.
-z**2*(z - 1)/3
Let n be (-22)/(-99) - (-32)/18. Let j(h) be the third derivative of 1/6*h**3 - 3*h**n + 0 - 1/48*h**4 - 1/120*h**5 + 0*h. Factor j(b).
-(b - 1)*(b + 2)/2
Let l be (-18 + 20 + 58/(-30))*6. Solve 14/5*b**4 + l*b**5 + 10*b**2 + 38/5*b**3 + 32/5*b + 8/5 = 0 for b.
-2, -1
Suppose z = 5*f + 3, 0 = -3*f + z - 4*z + 9. Let p(o) be the first derivative of 0*o**2 - 2/9*o**3 + f*o + 3. Factor p(t).
-2*t**2/3
Let b(s) be the third derivative of 2*s**7/35 - 7*s**6/10 + 69*s**5/20 - 35*s**4/4 + 25*s**3/2 + 20*s**2. Factor b(f).
3*(f - 1)**2*(2*f - 5)**2
Solve -2*i**3 - 7*i**2 + 2*i + 7*i**2 = 0.
-1, 0, 1
Let s = -132/17 - -315/34. Find h, given that s*h + 0 + 3/2*h**2 = 0.
-1, 0
Factor -909*s**2 + 2*s**5 - 6*s**4 + 909*s**2.
2*s**4*(s - 3)
Let p(u) be the second derivative of 0*u**2 - 6*u + 0 + 0*u**3 + 1/8*u**4. Factor p(h).
3*h**2/2
Let b be ((-34)/8)/(-1) + 3/(-12). Let x(q) be the first derivative of 3 - 1/24*q**b + 1/3*q + 2/9*q**3 - 5/12*q**2. Determine p so that x(p) = 0.
1, 2
Let r be -1*(-2*2)/2. Suppose -o - 4*o - 3*v = -4, 0 = -o - 2*v - r. Factor 10*f**2 - 4*f - 14*f**3 + 10*f**2 - 2*f**o.
-2*f*(f - 1)*(7*f - 2)
Let s(o) be the second derivative of -o**7/84 - o**6/12 - 3*o**5/20 + o**4/12 + 7*o**3/12 + 3*o**2/4 + o + 7. Factor s(n).
-(n - 1)*(n + 1)**3*(n + 3)/2
Factor 3/2*t**5 + 0*t**3 - 3/4*t**2 + 0*t + 0 + 9/4*t**4.
3*t**2*(t + 1)**2*(2*t - 1)/4
Factor -3*g**3 + 3*g**2 - 3*g**2 - 15*g**5 + 12*g**5 + 6*g**4.
-3*g**3*(g - 1)**2
Suppose -4 = 3*k + 35. Let x be (-3)/9 + k/(-3). Find f such that f**2 + 5*f - 5*f - f**x = 0.
-1, 0, 1
Factor 12/13*k**4 + 0 + 2/13*k**3 - 48/13*k**2 + 32/13*k + 2/13*k**5.
2*k*(k - 1)**2*(k + 4)**2/13
Let h(u) = -7*u**3 + 5*u**2 + 2*u. Let p(r) = 8*r**3 - 6*r**2 - 2*r. Let f(w) = -6*h(w) - 5*p(w). Factor f(n).
2*n*(n - 1)*(n + 1)
Factor -2*x + 8 + 1/8*x**2.
(x - 8)**2/8
Let j be (14/8)/((-4)/(-32)). Suppose -5*m - s + 12 = 0, -4 = -4*m - 5*s + j. Factor 2 + m*l**2 - l**2 + 0 + l**2 - 4*l.
2*(l - 1)**2
Suppose 4*g - 2*g - 12 = 0. Factor -2*b**3 - 7*b**3 - g*b**2 - 5*b**3 + 4 + 6*b - 6*b**4.
-2*(b + 1)**3*(3*b - 2)
Let o(n) be the third derivative of -n**2 + 0 + 1/160*n**5 + 0*n + 3/32*n**4 + 9/16*n**3. Factor o(p).
3*(p + 3)**2/8
Suppose d - 5 = 3*i, -4*d + 15 = d - 5*i. Let g be (2 + d + -4)/3. Determine y, given that 2/3*y**2 + 0 + g*y = 0.
0
Let g = -203/5 - -1867/45. Determine z, given that -g*z**4 + 0 + 0*z - 2/9*z**5 + 0*z**2 - 8/9*z**3 = 0.
-2, 0
Find x such that -1/5*x**4 + 2/5*x + 3/5*x**2 + 0*x**3 + 0 = 0.
-1, 0, 2
What is v in -7/4*v**2 + 0 + 0*v**3 + 3/2*v + 1/4*v**4 = 0?
-3, 0, 1, 2
Let w = -17 - -22. Let i(m) be the first derivative of 3 + 0*m**3 - 1/10*m**w + 0*m**2 + 1/8*m**4 + 0*m. Determine f so that i(f) = 0.
0, 1
Let h(v) be the third derivative of -v**8/2240 + v**7/840 + v**6/120 + 5*v**4/24 - v**2. Let k(o) be the second derivative of h(o). Factor k(b).
-3*b*(b - 2)*(b + 1)
Let t be 1/(-4) - (-78)/24. Suppose w = -0 + t. Factor 1/2 + 1/2*m**w - 1/2*m**2 - 1/2*m.
(m - 1)**2*(m + 1)/2
Let g(p) be the first derivative of -3/2*p**2 - 3/5*p**5 + 2*p**3 + 3/2*p**4 - 3*p + 2 - 1/2*p**6. Factor g(t).
-3*(t - 1)**2*(t + 1)**3
Suppose 2*r - 6*r + 52 = 0. Suppose -4*m = 1 - r. Let -u - 1 + 4*u**2 + u**m + 0*u**2 - 3*u**2 = 0. Calculate u.
-1, 1
Let c(n) be the third derivative of -5*n**2 + 1/24*n**3 + 1/192*n**4 + 0 - 1/480*n**5 + 0*n. Factor c(r).
-(r - 2)*(r + 1)/8
Let s(y) be the third derivative of y**7/525 - y**6/100 - y**5/30 + y**4/20 + 4*y**3/15 - 23*y**2. Suppose s(g) = 0. Calculate g.
-1, 1, 4
Let q(k) = 5*k**3 - k**2 - 9*k + 9. Let p(w) = -w**3 + 2*w - 2. Let o(l) = 9*p(l) + 2*q(l). Solve o(g) = 0.
0, 2
Let l(v) be the first derivative of v**4/20 + 2*v**3/15 + 3. Factor l(d).
d**2*(d + 2)/5
Suppose 3*f + 6 = 6*f. Determine p, given that -2 + 3*p - 6*p**2 + 0*p**f + 2*p**2 + 3*p**2 = 0.
1, 2
Let x(v) = -v + 6. Suppose r = 2*r - 5. Let c be x(r). Factor 3*p + 2*p**2 - 3*p + c - 3.
2*(p - 1)*(p + 1)
Suppose 4*y + 5*u = -12, u = 2*y - 13 + 5. Solve 2/3*l**3 + 0*l + 14/3*l**y - 2*l**4 - 2/3*l**5 - 8/3 = 0.
-2, -1, 1
Let l(u) be the second derivative of 0*u**2 + 2/21*u**7 + 2/15*u**6 - 2*u - 1/5*u**5 + 0 - 1/3*u**4 + 0*u**3. Factor l(p).
4*p**2*(p - 1)*(p + 1)**2
Let c be ((-31)/(-62))/(-1 + 1 + 1). Let p(a) be the first derivative of c*a - 1/12*a**3 + 3 - 3/16*a**4 + 3/8*a**2 - 1/20*a**5. Factor p(z).
-(z - 1)*(z + 1)**2*(z + 2)/4
Find v such that v**2 - 5/3*v**3 + 4*v + 4/3 = 0.
-1, -2/5, 2
Let n(t) be the first derivative of t**6/2 - 3*t**4/2 + 3*t**2/2 + 7. Factor n(d).
3*d*(d - 1)**2*(d + 1)**2
Let p be -2 + 1 + 50/45. Let o(z) be the second derivative of -p*z**3 - 1/18*z**4 + 1/3*z**2 + z + 1/30*z**5 + 0. What is y in o(y) = 0?
-1, 1
Let v(k) be the third derivative of -k**8/13440 - k**7/1260 - k**6/288 - k**5/120 - k**4/12 + k**2. Let p(f) be the second derivative of v(f). Factor p(w).
-(w + 1)**2*(w + 2)/2
Let o be (-3)/(6/4 - 3). Determine u so that o*u - 5*u + 0*u - u**2 + 2*u = 0.
-1, 0
Suppose -96/5*a**3 + 218/15*a**2 - 12/5*a**5 + 8/15 - 24/5*a + 34/3*a**4 = 0. What is a?
2/9, 1/2, 1, 2
Factor 0*b + 2/7*b**3 + 2/7*b**2 + 0.
2*b**2*(b + 1)/7
Let f(n) be the third derivative of n**5/30 - 11*n**4/12 + 10*n**3/3 + 5*n**2 + 3*n. Factor f(q).
2*(q - 10)*(q - 1)
Let a = -33 - -23. Let m = a + 10. Factor 0 + 0*j**2 + m*j - 2/5*j**3 + 2/5*j**5 + 0*j**4.
2*j**3*(j - 1)*(j + 1)/5
Let j(w) = -6*w**3 - 2*w**2 + 4*w - 5. Let y be 9/54 + (-29)/(-6). Let r(a) = 7*a**3 + 2*a**2 - 5*a + 6. Let q(f) = y*r(f) + 6*j(f). Factor q(b).
-b*(b + 1)**2
Suppose 6*v - 3*v = -5*d + 12, 16 = 4*v - 4*d. Let g be (0 + 0)/(-7 - -6). Find s, given that 0*s**2 + 0 - 1/4*s**v + 0*s**3 + g*s = 0.
0
Let k be 0 - (205/132)/5. Let v = -2/33 - k. Factor -1/4*i - v*i**2 + 0.
-i*(i + 1)/4
Let v(d) be the first derivative of -d**4/4 - 2*d**3/3 + d**2/2 + 2*d + 10. Factor v(h).
-(h - 1)*(h + 1)*(h + 2)
Let n be (-65)/(-20) - 1/4. Determine x so that 4*x**4 - 8*x + 2 - 12*x**2 - n + 1 = 0.
-1, 0, 2
Let f(w) be the first derivative of -w**4 - 4*w**3/3 + 2*w**2 + 4*w - 8. Factor f(b).
-4*(b - 1)*(b + 1)**2
Suppose -5*u + 11 + 9 = 0. Let p = u - 0. Find c, given that 9*c**p + 3*c**3 + 6*c**4 - 3*c**4 = 0.
-1/4, 0
Let o be -3 - -4 - 6/(-3). Determine f so that f + 4*f**5 - 2*f**o + 0*f**5 - 3*f**5 = 0.
-1, 0, 1
Let f(x) be the third derivative of -1/110*x**5 - 1/33*x**3 + 0*x + 1/660*x**6 + 3*x**2 + 0 + 1/44*x**4. Suppose f(n) = 0. Calculate n.
1
What is l in -1/2*l**4 - 1/4*l + 0*l**3 + 1/4*l**5 + 0 + 1/2*l**2 = 0?
-1, 0, 1
Let k(d) be the first derivative of 5*d**3/3 + 5*d**2/2 - 10*d - 10. Suppose k(p) = 0. Calculate p.
-2, 1
Let p(q) = -q - 8. Let r = -25 - -16. Let y be p(r). Factor -1/2*z + 1/2*z**2 - y.
(z - 2)*(z + 1)/2
Let k(g) be the first derivative of 5*g**3/3 + 5*g**2 + 5*g - 10. Determine o, given that k(o) = 0.
-1
Let q = 415 + -415. Solve 0*g + 4/3*g**2 - 2*g**3 + q = 0 for g.
0, 2/3
Factor -5/2*t - 5/2*t**2 + 15.
-5*(t - 2)*(t + 3)/2
Let m = 21 - 19. Let d = 2 + 0. Suppose z**m - 3*z**2 - z**4 - d*z**3 + z**2 = 0. What is z?
-1, 0
Suppose a + a = 4. Let 4 + g - 2*g**a - 3*g - g + g = 0. What is g?
-2, 1
Factor 3/8*x**2 + 0 - 3*x.
3*x*(x - 8)/8
Let p(q) be the first derivative of -q**8/1680 + q**7/280 - q**6/180 + 2*q**3/3 - 1. Let y(i) be the third derivative of p(i). Let y(s) = 0. Calculate s.
0, 1, 2
Let q = -6 - -12. Let v(o) be the third derivative of 0 + 0*o**3 + 0*o - o**2 + 1/60*o**5 - 1/36*o**4 + 1/72*o**q. Factor v(m).
m*(m + 1)*(5*m - 2)/3
Suppose -g = -6 - 2. Suppose -3*c - 2 = -g. Factor 2/9*t**c - 4/9*t**3 + 0*t + 2/9*t**4 + 0.
2*t**2*(t - 1)**2/9
Let p(h) be the second derivative of -h**6/105 + h**4/42 + 10*h. Factor p(m).
-2*m**2*(m - 1)*(m + 1)/7
Let x be (30/12)/((-2)/(-4)). Let q be 10/35 + (-2)/7