2*-2)/(125/(-75)). Factor -2/5*i**3 + 1/5*i**4 + 0*i**2 - f + 2/5*i.
(i - 1)**3*(i + 1)/5
Suppose -10*s + 19*s - 324 = 0. Let r be -2*(s/(-10) + (-26)/65). Solve 44*w**3 - r*w - 8/3 + 70/3*w**4 + 46/3*w**2 = 0 for w.
-1, -2/7, 2/5
Let g(r) be the first derivative of 3/8*r**2 - 16 + 1/4*r**3 - 3/2*r. Factor g(o).
3*(o - 1)*(o + 2)/4
Let a(b) be the first derivative of -35*b**3/3 + 59*b**2/2 - 24*b + 2. Let d(o) = -35*o**2 + 60*o - 25. Let x(n) = -5*a(n) + 4*d(n). What is u in x(u) = 0?
4/7, 1
Let i(z) be the first derivative of z**6/33 - 12*z**5/55 + 4*z**4/11 + 32*z**3/33 - 48*z**2/11 + 64*z/11 + 132. Determine r so that i(r) = 0.
-2, 2
Suppose -7*t - 3 = 25. Let x be -1 - (-78)/84 - t/7. Let -3/2*s - 3/2*s**2 - x*s**3 - 1/2 = 0. What is s?
-1
Let m(t) = 15*t - 2. Let u be m(3). Let g = u - 41. Determine l so that -2/7*l**g - 6/7 - 8/7*l = 0.
-3, -1
Let t(m) = m**3 - 22*m**2 + 20*m + 23. Let f be t(21). Let b = -12 + 14. Factor i - 2*i - 2*i**2 + i**b + f*i.
-i*(i - 1)
Find p, given that -15*p**2 + 3/4*p**5 - 9/2*p**3 + 3/2*p**4 - 57/4*p - 9/2 = 0.
-2, -1, 3
Let l(b) be the second derivative of -2*b**7/21 + 10*b**6/3 - 24*b**5/5 - 75*b + 2. Factor l(f).
-4*f**3*(f - 24)*(f - 1)
Determine k so that 27/7*k + 3/7*k**2 + 54/7 = 0.
-6, -3
Let a(u) = -9*u**3 - 5*u**3 - 4*u**2 + 17*u**3 + 6*u**4 - 5*u**5. Let p(r) = -4*r**5 + 5*r**4 + 2*r**3 - 3*r**2. Let v(m) = -5*a(m) + 6*p(m). Factor v(d).
d**2*(d - 1)**2*(d + 2)
Let f be ((22/(-231))/((-12)/(-54)))/((-2)/14). Factor -5/4*h**2 + 15/4*h**5 + 0 + 0*h + 25/4*h**f - 35/4*h**4.
5*h**2*(h - 1)**2*(3*h - 1)/4
Suppose -1 = l - 3. Let j be 3/(36/4)*(-24)/(-2). Let 0 - 1/2*f**j - f**l - 3/2*f**3 + 0*f = 0. Calculate f.
-2, -1, 0
Factor -32*a + 6*a**2 - a**3 + 233*a**4 + 6*a**3 - 234*a**4 - 32.
-(a - 4)**2*(a + 1)*(a + 2)
Let r(o) be the third derivative of 3*o**2 - 1/120*o**6 + 0 - 1/315*o**7 + 0*o**3 + 0*o - 1/144*o**4 - 1/90*o**5 - 1/2016*o**8. Factor r(i).
-i*(i + 1)**4/6
Let x(p) = -7*p**3 + 19*p**2 + 67*p + 59. Let f(n) = 4*n**3 - 20*n**2 - 66*n - 58. Let v(d) = 3*f(d) + 2*x(d). Factor v(m).
-2*(m + 2)**2*(m + 7)
Let k(i) be the third derivative of -1/75*i**5 + 1/525*i**7 - 1/60*i**4 + 1/150*i**6 + 23*i**2 - 1/840*i**8 + 0 + 0*i + 1/15*i**3. Let k(s) = 0. Calculate s.
-1, 1
Suppose 3*q = -4*z + q - 10, 2*q = z + 10. Let f(s) = 15*s**3 + 95*s**2 + 87*s. Let w(u) = -8*u**3 - 48*u**2 - 44*u. Let c(l) = z*f(l) - 7*w(l). Factor c(b).
-4*b*(b + 1)*(b + 10)
Let x(m) be the second derivative of m**6/480 + m**5/80 - m**4/4 + 3*m**3/2 - 28*m. Let p(s) be the second derivative of x(s). Factor p(a).
3*(a - 2)*(a + 4)/4
Suppose 0 = 106*m - 108*m + 6. Suppose 3*q = 4*w - 6, 3*w - m*q = -2*q + 2. Factor w*x - 2/13*x**4 + 0*x**3 + 4/13*x**2 - 2/13.
-2*(x - 1)**2*(x + 1)**2/13
Let q be 2/3*2730/(-3 - -8). Let y = q + -1814/5. Solve -2/5 + 8/5*t**2 + y*t = 0 for t.
-1, 1/4
Suppose 0*u - 6*u**4 + 0 - 1/3*u**5 + 0*u**2 - 17/3*u**3 = 0. What is u?
-17, -1, 0
Find r, given that 0*r**4 + 0*r**2 + 0 + 0*r + 0*r**3 + 5/4*r**5 = 0.
0
Let t = 79/14 + -7/2. Determine c so that t*c**2 - 1/7*c**3 - 75/7*c + 125/7 = 0.
5
Let p = 20 + -17. Let 138*o**2 - 137*o**2 - 3 - o**p + 3 = 0. Calculate o.
0, 1
Let f be (-2)/(-1) - 7/4. Let t be 17/36 - (-1 - (-44)/36). What is c in t*c + 0 - f*c**2 - 1/4*c**3 + 1/4*c**4 = 0?
-1, 0, 1
Let c = 14 - 9. Let f be c/20 - (-22)/8. Find g, given that 0*g - f*g**2 + 7*g - 9 + 5*g = 0.
1, 3
Let o(d) be the first derivative of 7*d**3/6 + 3*d**2/4 - 2*d - 29. Factor o(n).
(n + 1)*(7*n - 4)/2
Let i(j) = 27*j**2 - 25*j + 1. Let c(b) = -13*b**2 + 13*b. Let h(m) = 13*c(m) + 6*i(m). Let h(k) = 0. Calculate k.
-2/7, 3
Let j(b) be the third derivative of b**6/570 - 29*b**5/570 - 5*b**4/76 - 2*b**2 + 284. Determine p so that j(p) = 0.
-1/2, 0, 15
Let b(j) be the second derivative of -j**6/60 + j**4/24 + 58*j. Factor b(x).
-x**2*(x - 1)*(x + 1)/2
Let q(m) be the second derivative of -1/210*m**7 - 2/5*m**2 + 0 + 1/100*m**5 + 7/60*m**4 + 11*m + 0*m**3 - 1/50*m**6. What is a in q(a) = 0?
-2, -1, 1
Let b(d) be the first derivative of 5*d**8/336 - d**7/14 + d**6/24 + d**5/4 - 5*d**4/12 + 3*d**2/2 - 12. Let h(u) be the second derivative of b(u). Factor h(p).
5*p*(p - 2)*(p - 1)**2*(p + 1)
Determine n so that 10/9*n + 0 - 7/3*n**3 + 1/3*n**2 - 11/9*n**4 + 1/3*n**5 = 0.
-1, 0, 2/3, 5
Let p(i) be the first derivative of 2*i**3/9 + 4*i**2 + 22*i/3 + 42. What is x in p(x) = 0?
-11, -1
Factor 6 + 0*c - 2/3*c**2.
-2*(c - 3)*(c + 3)/3
Let d(s) = 4*s**2 + 5*s. Let i be d(-4). Let c be i/16 + 1/4. Factor 16/7 + 2/7*q**c + 12/7*q**2 + 24/7*q.
2*(q + 2)**3/7
Let p(r) be the third derivative of r**6/960 - r**5/64 - 13*r**3/6 - 8*r**2. Let b(d) be the first derivative of p(d). Factor b(t).
3*t*(t - 5)/8
Let z(a) = -a**2 + a. Suppose -3*v + 14 = 4*v. Let x(q) = -22*q**2 - 10 + 18*q**v - 22 + 18*q. Let s(g) = x(g) - 2*z(g). Suppose s(u) = 0. Calculate u.
4
Let g(w) = 19*w**3 - 699*w**2 + 8945*w - 2490. Let i(d) = 56*d**3 - 2098*d**2 + 26836*d - 7472. Let x(p) = 14*g(p) - 5*i(p). Solve x(c) = 0.
2/7, 25
Let d = -91 - -96. Let v be (3/10)/(d + 48/(-10)). Find c, given that -v*c**3 - 3/4*c**4 + 3/2*c + 3/4 + 0*c**2 = 0.
-1, 1
Factor -13*f - 1/3*f**2 - 74/3.
-(f + 2)*(f + 37)/3
Let o(m) be the third derivative of m**8/224 + 3*m**7/35 + 2*m**6/5 - 7*m**5/4 - 225*m**4/16 + 125*m**3/2 + 225*m**2. Determine s so that o(s) = 0.
-5, 1, 2
Let p(c) be the second derivative of c**8/2800 - c**7/1400 + 13*c**3/3 - 11*c. Let f(l) be the second derivative of p(l). Factor f(j).
3*j**3*(j - 1)/5
Let a = 4 + -4. Suppose 4*n = -5*h - 0 + 6, a = -n - 3*h - 2. What is j in -j**2 - n*j + j + 4*j = 0?
0, 1
Let r(w) = -3*w**2 + 46 - 80*w + 20 + 17*w. Let o(s) = s**2 + 18*s - 19. Let x be 5*(4/20 - 12/(-15)). Let j(b) = x*r(b) + 18*o(b). Factor j(p).
3*(p - 1)*(p + 4)
Let o be (6*(-6)/(-45))/((-2)/(-185)). Determine t, given that 0*t**2 - o*t**3 - 15*t**2 + 71*t**3 = 0.
-5, 0
Let v = 59/44 + -13/22. Let x(g) be the first derivative of 0*g + 5 + 9/4*g**4 + 2*g**3 + v*g**2 + 1/4*g**6 + 6/5*g**5. Factor x(i).
3*i*(i + 1)**4/2
Suppose -37 = -8*l + 35. Factor l*g**2 + 15*g**5 - 6*g - 6*g**2 - 6*g**2 + 32*g**3 + 39*g**4 - 5*g**3.
3*g*(g + 1)**3*(5*g - 2)
Suppose 3*t + 18 = 9. Let q be (0 - 0)*(t + 2). Find o such that 0 + 0*o**2 - 1/5*o**4 + q*o - 1/5*o**3 = 0.
-1, 0
Factor 9*j**2 + 4*j**2 - 4*j**3 + 3*j**3 - 160 + 17*j**2 - 4*j**3.
-5*(j - 4)**2*(j + 2)
Let x(r) be the third derivative of r**6/120 - 3*r**5/20 + r**4 - 8*r**3/3 - 22*r**2 + r. Determine m so that x(m) = 0.
1, 4
Let y(v) be the first derivative of v**6/3 - 6*v**5/5 + v**4/2 + 2*v**3 - 2*v**2 - 25. Factor y(g).
2*g*(g - 2)*(g - 1)**2*(g + 1)
Let w be ((2 + -1)/(-1))/(10/(-40)). Solve -2*m**5 - m**4 - 1320*m**3 + 1322*m**3 - 2*m**2 + 3*m**w = 0.
-1, 0, 1
Suppose 0 = 83*i - 245*i + 84*i + 74*i. Determine j, given that -1/2*j**5 + 0 - j**4 + i*j**2 + 0*j - 1/2*j**3 = 0.
-1, 0
Let s(g) be the second derivative of -17*g**5/6 + 7*g**4/18 + 2*g**3/9 - 167*g. Solve s(i) = 0 for i.
-2/17, 0, 1/5
Solve 16*u**3 + 4*u**4 + 8*u - 9 + 9 - 19*u**2 - u**2 - 8*u**4 = 0 for u.
0, 1, 2
Let c(a) be the second derivative of -4*a**7/105 - 2*a**6/15 - 4*a**5/25 - a**4/15 - 2*a + 59. Factor c(t).
-4*t**2*(t + 1)**2*(2*t + 1)/5
Let d(v) be the first derivative of 3*v**5/5 + 9*v**4/2 - v**3 - 9*v**2 + 646. Suppose d(y) = 0. What is y?
-6, -1, 0, 1
Let g(z) be the first derivative of -2/5*z**5 + 0*z - 9 + 0*z**2 - z**4 + 0*z**3. Factor g(o).
-2*o**3*(o + 2)
Find c such that 1138 - 931*c**3 - 2289*c**2 + 596 - 6*c**5 - 92*c**4 - 121*c**4 + 0*c**5 + 2805*c - 1100*c**3 = 0.
-17, -2, -1/2, 1
Find n such that 5/3*n**5 - 10/3*n**2 + 0 - 5/3*n + 0*n**3 + 10/3*n**4 = 0.
-1, 0, 1
Let u(x) be the first derivative of 1/21*x**3 + 2 - 6/7*x - 1/14*x**2. Factor u(y).
(y - 3)*(y + 2)/7
Let x = -370 + 1142/3. What is s in 0 + 16/3*s - 44/3*s**3 - 4*s**4 - x*s**2 = 0?
-2, 0, 1/3
Let f be 31/((-248)/(-80)) + -1*2. Let d(p) be the first derivative of 1/3*p**5 - 5/9*p**3 - f + 5/12*p**4 + 0*p - 5/6*p**2. Let d(n) = 0. What is n?
-1, 0, 1
Suppose 394*n - 327 = 285*n. Find l, given that 0 + 3/5*l**n - l**2 - 2/5*l = 0.
-1/3, 0, 2
Let -651/5*q - 3*q**3 + 294/5 - 204/5*q**2 = 0. What is q?
-7, 2/5
Let g = -256 + 259. Let d(q) be the first derivative