*2 + 2. Factor o(f).
-2*f*(f - 5)*(f - 4)*(f - 1)
Let j(i) be the first derivative of -i**3/12 + 9*i**2/2 - 81*i - 66. Factor j(u).
-(u - 18)**2/4
Let o = 103/134 + -18/67. Let r(f) be the second derivative of -o*f**4 + f**3 - f**2 + 1/10*f**5 + 0 - 4*f. Factor r(q).
2*(q - 1)**3
Suppose t + 4*t = m + 4, -4*m = 5*t + 16. Suppose -10 = -9*k + 4*k. Let 1/2*b**k - b + t + 1/2*b**3 = 0. What is b?
-2, 0, 1
Let m(b) be the first derivative of -2*b**5/35 + 2*b**4/7 + 10*b**3/21 - 32. Factor m(y).
-2*y**2*(y - 5)*(y + 1)/7
Suppose 0 = -25*o - 14*o + 78. Factor -2/5 + 2*l - 6/5*l**o - 18/5*l**3.
-2*(l + 1)*(3*l - 1)**2/5
Suppose 5*w - 65 + 5 = 0. Let t = 15 - w. Determine m, given that -5*m - 7/4*m**t + 23/4*m**2 + 1 = 0.
2/7, 1, 2
Let x(w) be the third derivative of -w**7/15120 + w**6/864 - w**5/180 + w**4/12 + 3*w**2. Let g(t) be the second derivative of x(t). Factor g(q).
-(q - 4)*(q - 1)/6
Suppose -1/7*o**3 + 6/7*o**2 - 11/7*o + 6/7 = 0. Calculate o.
1, 2, 3
Let m(b) be the first derivative of -b**3 + 7*b**2/2 - 12*b - 8. Let w(t) = 4*t**2 - 7*t + 13. Let p(l) = 3*m(l) + 2*w(l). Factor p(j).
-(j - 5)*(j - 2)
Let z(h) be the second derivative of h**7/70 - h**6/150 - 7*h**5/50 + h**4/15 + 4*h**3/15 - 769*h. Solve z(y) = 0 for y.
-2, -2/3, 0, 1, 2
Let v be ((-5)/10)/(1/(-14)). Let a(w) = 3*w**4 + 3*w**3 + 6. Let t(r) = 3*r**4 + 3*r**3 + 7. Let j(q) = v*a(q) - 6*t(q). What is z in j(z) = 0?
-1, 0
Find f such that 44/9*f**3 + 314/9*f**2 + 2/9*f**4 + 72 + 88*f = 0.
-9, -2
Let u = -431 + 11638/27. Let f(o) be the second derivative of 1/189*o**7 - 1/9*o**2 + u*o**3 - 1/45*o**5 + 4*o + 0 - 1/135*o**6 + 1/27*o**4. Solve f(m) = 0.
-1, 1
Suppose 5*s + 6*s - 12*s**3 - 2*s + 7*s - 16*s**2 = 0. Calculate s.
-2, 0, 2/3
Let z be (3/(9/4))/((-46)/(-1311)). Suppose 5 - 112*v**2 - 92*v**4 - 22*v**5 - z*v - 32*v**3 - 116*v**3 - 9 = 0. Calculate v.
-1, -2/11
Let q(x) = -x**3 - 5*x**2 + 5*x - 2. Let k be q(-6). Let 200*l**2 - l**5 - 20*l**4 - 93*l + 0*l**5 - 32*l + 36*l**k - 90*l**3 = 0. What is l?
0, 1, 5
Let q = 20 - 19. Let l be (-40)/30 + q + 0 + 1. Factor l*x**2 - 4/9*x + 0 - 2/9*x**3.
-2*x*(x - 2)*(x - 1)/9
Let h(o) be the second derivative of -3/160*o**5 + 0*o**3 + 0*o**2 + 1/32*o**4 + 1/112*o**7 - 13*o + 0 - 1/80*o**6. Factor h(s).
3*s**2*(s - 1)**2*(s + 1)/8
Suppose 5*v - 2*d = 12, 0*v = v + 3*d - 16. Let 0*p**2 + 9*p - 4*p**4 - v*p**3 - 12*p + 4*p**2 + 7*p = 0. Calculate p.
-1, 0, 1
Let c(v) be the third derivative of 0 + 0*v**7 + 5/336*v**8 + 1/6*v**5 - 5/3*v**3 + 5/8*v**4 - 21*v**2 - 1/6*v**6 + 0*v. Let c(g) = 0. Calculate g.
-2, -1, 1
Let v(n) be the third derivative of -n**6/1020 + 7*n**5/510 - 7*n**4/102 + 8*n**3/51 + n**2. Factor v(i).
-2*(i - 4)*(i - 2)*(i - 1)/17
Solve 5*b**3 + 13*b**3 - 6*b**4 - 72*b + 3*b**2 + 9*b**4 + 48 = 0 for b.
-4, 1
Let x(v) be the first derivative of -v**4/16 + v**3 - 9*v**2/2 + 8*v - 138. Let x(h) = 0. Calculate h.
2, 8
Let n = 81 - 18. Let x be (n/14)/(-1 - -4). Factor 0*j**3 + 9/2*j**4 - 1/3*j - x*j**2 + 0.
j*(3*j - 2)*(3*j + 1)**2/6
Determine n so that -15*n**2 - 4*n**4 - 8289*n**3 + n**4 + 8277*n**3 - 6*n = 0.
-2, -1, 0
Let c(t) = -11*t**3 + 66*t**2 - 186*t + 126. Let v(h) = 16*h**3 - 99*h**2 + 279*h - 189. Let n(y) = 7*c(y) + 5*v(y). Factor n(s).
3*(s - 7)*(s - 3)*(s - 1)
Suppose 0*r = r + b - 3, 0 = -3*r - 5*b + 9. Factor 11 + 5*g**3 + 18*g**2 - 90*g + 87*g - 29 - 2*g**r.
3*(g - 1)*(g + 1)*(g + 6)
Let l(n) be the first derivative of -2*n**3/3 - 148*n**2 - 10952*n + 362. Factor l(a).
-2*(a + 74)**2
Let k be (9/15)/(4/236). Let h = 845 - 843. Find y such that -69/5*y**3 - 171/5*y + 54/5 + 9/5*y**4 + k*y**h = 0.
2/3, 1, 3
Let 9112 + x**3 - 9032 - 5*x**2 + 4*x**3 - 80*x = 0. What is x?
-4, 1, 4
Let f(x) = x**3 - x - 1. Let g(s) = 3*s + s**2 + 2*s**3 + 1 + 0*s - 4*s**3. Let l(c) = -f(c) - g(c). Determine t, given that l(t) = 0.
-1, 0, 2
Let p be 15/5*(-22)/(-6). Let t(f) = -f. Let z be t(0). Suppose -16 + 9*a + 12*a**2 - 8*a**3 + p*a - 4*a**4 + z*a**4 - 4*a = 0. Calculate a.
-2, 1
Let p = 151 + -148. Let c(l) be the second derivative of 1/4*l**2 + 0 - 2*l + 1/80*l**5 + 1/12*l**4 + 5/24*l**p. Let c(k) = 0. Calculate k.
-2, -1
Factor -40/9*a + 14/3 - 2/9*a**2.
-2*(a - 1)*(a + 21)/9
Let t = -41 - -44. Find s, given that -12*s + t*s + 2*s**3 + 7*s = 0.
-1, 0, 1
Let g(w) be the third derivative of -w**6/24 - 17*w**5/12 - 105*w**4/8 + 135*w**3/2 + 76*w**2. What is d in g(d) = 0?
-9, 1
Factor -3*q**2 - 361*q - 65712 + 25*q - 186*q - 366*q.
-3*(q + 148)**2
Find z, given that 37*z - 15 - 1/3*z**5 + z**4 + 6*z**3 - 86/3*z**2 = 0.
-5, 1, 3
Let o(b) = b**2 - b. Let x(j) = -j**3 + 15*j**2 - 22*j + 8. Let q(l) = 5*o(l) - x(l). Determine m, given that q(m) = 0.
1, 8
Let b be (-2)/10 + (-165)/(-75). Let 0 + 4/3*k**2 + 0*k + b*k**4 + 10/3*k**3 = 0. What is k?
-1, -2/3, 0
Let n(v) be the second derivative of v**6/360 - v**4/24 - 11*v**3/6 + 35*v. Let u(j) be the second derivative of n(j). Factor u(p).
(p - 1)*(p + 1)
Let y(j) = -10*j**2 + 6*j + 17. Let v(s) = -s**2 + s + 1. Let l = 33 - 31. Let h(i) = l*y(i) - 22*v(i). Suppose h(c) = 0. What is c?
2, 3
Suppose p = -1, -5*b + 2*p = -2*b - 17. Suppose b*j - 4*r + 6 = 0, 0 = 5*j + r - 2*r - 6. Suppose 5*m**2 + 4 + 0*m**j + m**2 + 12*m + 2*m = 0. What is m?
-2, -1/3
Suppose 1/8*q**2 + 0 + 14*q = 0. Calculate q.
-112, 0
Let g(v) = 2*v**3 + 2*v + 4. Let m = -69 + 73. Let s(k) = -k**3 + k. Let a(d) = d + 1. Let q(l) = -3*a(l) + 2*s(l). Let n(f) = m*q(f) + 3*g(f). Factor n(h).
-2*h*(h - 1)*(h + 1)
Let p be -9*8/(-24) + -1*1. Let g be 6*(-1 - (-3)/2). Factor -60*c**g + 3 - 14*c - 92*c**2 - 19*c - p*c**5 - 21 - 33*c - 18*c**4.
-2*(c + 1)**3*(c + 3)**2
Let f(o) be the third derivative of o**6/60 + 7*o**5/25 - 29*o**4/60 - 6*o**3/5 - 3*o**2 + 6. What is r in f(r) = 0?
-9, -2/5, 1
Factor -3/2*h**2 - 5/2*h**3 + 5 + 1/2*h**4 + 13/2*h.
(h - 5)*(h - 2)*(h + 1)**2/2
Let g(i) be the second derivative of -i**4/16 - 21*i**3/4 - 30*i**2 + 7*i - 15. Let g(n) = 0. Calculate n.
-40, -2
Let h(o) be the third derivative of -o**8/4032 - o**7/1008 + 17*o**5/60 + 21*o**2. Let x(y) be the third derivative of h(y). Suppose x(s) = 0. What is s?
-1, 0
Suppose 45*x + 3 - x**2 - 5*x**2 - 23 - 4*x**2 = 0. What is x?
1/2, 4
Factor -23*g**2 - 2*g**3 + 12*g**2 - 31*g**2 + 5*g**3.
3*g**2*(g - 14)
Let i be (-2)/3 + 0 - (-126)/162. Let w(s) be the third derivative of i*s**3 + 0 - 2*s**2 - 1/360*s**5 + 0*s + 0*s**4. Suppose w(f) = 0. What is f?
-2, 2
Let q(h) = -3*h + 18. Let y be q(3). Let a(d) = -3*d**3 - 54*d**2 - 135*d - 87. Let g(t) = t**3 + 14*t**2 + 34*t + 22. Let v(f) = y*g(f) + 2*a(f). Factor v(r).
3*(r + 2)**3
Factor 2/11*j**5 - 64/11*j**2 - 36/11*j**3 - 4/11*j**4 - 46/11*j - 12/11.
2*(j - 6)*(j + 1)**4/11
Suppose -x - 656 = 4*y, -4*y = -9*y + 4*x - 841. Let q be 118/15 - 22/y. Factor 16*d**3 - q + 4*d**2 - 18*d**3 + 2*d**2.
-2*(d - 2)**2*(d + 1)
Suppose 6*f - 22 = 4*f. Suppose 1 - 23*v - 3 + f + 11*v + 3*v**2 = 0. Calculate v.
1, 3
Let m(w) be the third derivative of 3*w**8/56 + 3*w**7/35 - 49*w**6/60 + 23*w**5/30 + 5*w**4/3 - 4*w**3 + w**2 - 66. Determine y, given that m(y) = 0.
-3, -2/3, 2/3, 1
Let r be (2/1)/(10/30). Let m be (1 - 4/r)*1/1. Factor 0 - m*c**3 + 0*c + 0*c**2.
-c**3/3
Let h = -625 - -628. Let b(w) be the first derivative of 5 + h*w**2 + 0*w - w**3 - 9/4*w**4. Factor b(q).
-3*q*(q + 1)*(3*q - 2)
Let v = -86/13 + 443/65. Factor 2/5 + 1/5*i - v*i**2.
-(i - 2)*(i + 1)/5
Let w(v) = 2*v - 2. Let y be w(2). Factor -11 + 3 + h**2 - 4*h + 2*h**2 + h**y.
4*(h - 2)*(h + 1)
Let d(l) = l**4 + 10*l**3 + 4*l**2. Let s(x) = -9*x**3 - 3*x**2. Let f = 13 + -8. Let b(m) = f*s(m) + 4*d(m). Factor b(y).
y**2*(y - 1)*(4*y - 1)
Let y be (-1 - 7)/(3 + 2/(-2)). Let c be (y/48*-3)/1. Find d such that -1/4*d**4 + 0*d + 0*d**2 + 0 - c*d**3 = 0.
-1, 0
Let p(x) be the second derivative of x**5/12 - 5*x**2 + 2*x. Let l(m) be the first derivative of p(m). Let l(j) = 0. What is j?
0
Let x(y) be the second derivative of -y**9/75600 - y**8/33600 + y**7/2520 - y**6/1200 + y**4/12 + 8*y. Let s(n) be the third derivative of x(n). Factor s(m).
-m*(m - 1)**2*(m + 3)/5
Let x = -3191 - -28751/9. Let s = -3317/9 - -369. Factor -28/9*k**3 - 2*k - 2/9*k**5 - 4/3*k**4 - x*k**2 - s.
-2*(k + 1)**4*(k + 2)/9
Solve 16*k - 9 - 2*k**3 - k**3 + k**4 - 5*k