 - 4/7*f + 2/7*f**4 + 0.
2*f*(f - 1)*(f + 1)*(f + 2)/7
Let c = -2825/3 - -942. Find v such that c*v**2 + 1/3*v + 0 = 0.
-1, 0
Let w(h) be the third derivative of -h**6/60 - h**5/30 + 2*h**4/3 + 4*h**3 - 112*h**2. Factor w(v).
-2*(v - 3)*(v + 2)**2
Let s = 14 - 11. Factor 12*x**4 - x**3 - 4*x**4 - x**3 + 3*x**5 - x**s.
x**3*(x + 3)*(3*x - 1)
Suppose -592*l = -598*l + 12. Factor -2 + 2/3*q**3 + 17/3*q - 11/3*q**l.
(q - 3)*(q - 2)*(2*q - 1)/3
Let x be 119/245 - (1 - 20/25). Factor 2/7*t - 4/7 + x*t**2.
2*(t - 1)*(t + 2)/7
Let x = -108/875 - -2074/2625. Factor x*q**3 + 10/3*q**2 + 4/3*q - 16/3.
2*(q - 1)*(q + 2)*(q + 4)/3
Let i(v) = -4*v**2 + 8*v. Let f(p) = -8*p**2 + 8*p**2 - 21*p**2 + 40*p. Let q(y) = 2*f(y) - 11*i(y). Factor q(h).
2*h*(h - 4)
Let -33/4*s + 1/4*s**2 + 8 = 0. What is s?
1, 32
Let w = 10 + 16. Let f = w - 23. Determine q, given that -3*q**2 - 4*q - f*q + 4*q = 0.
-1, 0
Let y(t) be the first derivative of t**3 + 6*t**2 + 14*t + 6. Let s(j) = 1. Let d(v) = -2*s(v) + y(v). Factor d(f).
3*(f + 2)**2
Let u(p) be the first derivative of p**3/2 - 141*p**2/4 + 69*p + 208. Determine f so that u(f) = 0.
1, 46
Let t(i) be the second derivative of i**6/90 - 11*i**5/30 + 113*i**4/36 - 52*i**3/9 - 40*i**2 + 503*i. Solve t(j) = 0.
-1, 4, 15
Let r(n) be the second derivative of n**6/6 + 7*n**5/4 + 15*n**4/2 + 50*n**3/3 + 20*n**2 + 98*n. Suppose r(y) = 0. Calculate y.
-2, -1
Let k(i) = i - 2. Let y be k(5). Factor -4*q**3 - 26*q**3 + 16*q**4 + 2*q**3 + 28*q - 4*q**2 - 9 - y.
4*(q - 1)**2*(q + 1)*(4*q - 3)
Suppose -2*s + 63 = 5*g, -4*s - s - 70 = -5*g. Let b(k) = -2*k - 6. Let t be b(-5). What is m in t*m - 4*m**3 - 5*m**2 + 13*m**2 - 21 + g = 0?
-1, 1, 2
Let i be 2/(-39)*(-87)/(1 + -4). Let v = i - -28/13. Factor -2/3*d**3 + 4/3*d + 0 + v*d**2.
-2*d*(d - 2)*(d + 1)/3
Let d = 1231/291 + 10/97. Let p = d - 59/15. Factor 3/5*h**2 + 0*h - 1/5*h**4 + 0 + p*h**3.
-h**2*(h - 3)*(h + 1)/5
Let l(v) be the first derivative of v**4/20 - 2*v**3/3 + 9. Factor l(o).
o**2*(o - 10)/5
Suppose -4*s = 3*g + 18, -g = -s - 10 + 16. Determine u so that 112/3*u**4 + 32/3*u**5 + 0 + s*u + 12*u**2 + 38*u**3 = 0.
-2, -3/4, 0
Let a(z) be the third derivative of z**6/360 - z**5/120 - 5*z**3/2 - 18*z**2. Let w(l) be the first derivative of a(l). Factor w(h).
h*(h - 1)
Let q(c) = -c**4 - c - 1. Let o(t) = -20*t**4 - 6*t**3 + 4*t**2 - 22*t - 22. Let y(i) = -2*o(i) + 44*q(i). Suppose y(v) = 0. What is v?
0, 1, 2
Suppose 2*l - 5*i = 41, 3*l - 5*l + 35 = i. Suppose -21*t = -l*t - 6. Solve -14/3*n**3 + 2/3*n**4 + 16/3 - 40/3*n + 12*n**t = 0 for n.
1, 2
Factor 100*u + 46 - 33857*u**2 + 59 + 33852*u**2.
-5*(u - 21)*(u + 1)
Suppose 406 = 5*z + 3*d, 3*z + 5*d - 198 = 36. Let m = z - 83. Factor 0*s**3 + 3/5*s**2 + m*s - 3/5*s**4 + 0.
-3*s**2*(s - 1)*(s + 1)/5
Let r = -417 + 421. Let w(x) be the first derivative of 1 - 1/2*x**r + 0*x + 0*x**3 + x**2. Factor w(a).
-2*a*(a - 1)*(a + 1)
Let n = 37/69 + -131/759. Solve 2/11*d**2 + 6/11*d + n = 0 for d.
-2, -1
Let l(b) = 24*b + 5*b - 59*b + 12*b + 54. Let q be l(3). Factor 2/5*k**2 + 2/5*k**3 - 4/5*k + q.
2*k*(k - 1)*(k + 2)/5
Let x be 7192/5456 - 8/(-20)*5/11. Factor -1/4*u**2 + x*u - 9/4.
-(u - 3)**2/4
Suppose -5*b + 39 = -3*b + 3*r, 35 = 5*b - 5*r. Let m(j) = -j**3 + 6*j**2 + 7*j. Let w(y) = y**2 - 1. Let n(q) = b*w(q) - 3*m(q). Solve n(k) = 0 for k.
-1, 4
Factor -3/5*s**5 - 36/5*s**3 - 9/5*s + 0 - 18/5*s**4 - 6*s**2.
-3*s*(s + 1)**3*(s + 3)/5
Suppose 50 - 116*i**3 - 12*i**2 + 121*i**3 - 16*i**2 + 15*i - 2*i**2 = 0. Calculate i.
-1, 2, 5
Determine k so that 1/5*k**2 + 12/5 + 8/5*k = 0.
-6, -2
Let n(t) be the first derivative of 5*t**4/4 - 7*t**3/3 + 3*t**2/2 + 26. Let i(v) = -15*v**3 + 22*v**2 - 8*v. Let j(p) = -3*i(p) - 8*n(p). Factor j(z).
5*z**2*(z - 2)
Let y(b) be the first derivative of -b**7/147 + b**6/21 - 9*b**5/70 + b**4/6 - 2*b**3/21 - 7*b - 4. Let x(z) be the first derivative of y(z). Factor x(q).
-2*q*(q - 2)*(q - 1)**3/7
Let z be ((-24)/(-20))/((-333)/(-1110)). Find o such that 0*o + 0 - 4/15*o**2 + 4/15*o**z + 2/15*o**5 - 2/15*o**3 = 0.
-2, -1, 0, 1
What is y in 15*y**4 - 3469*y**3 + 3469*y**3 - 5*y**5 = 0?
0, 3
Let b(s) = -2*s**2 - 10*s - 13. Let x(q) = -9*q**2 - 51*q - 66. Let n = 168 + -163. Let j(p) = n*x(p) - 24*b(p). Factor j(t).
3*(t - 6)*(t + 1)
Let b be (-360)/(-100) + (-12)/(-30). What is a in 6/5*a**2 - 3/5*a**b - 12/5*a**3 + 36/5*a - 27/5 = 0?
-3, 1
Factor -40*u + 1486*u**3 - 33*u**2 + 3*u**2 - 1491*u**3.
-5*u*(u + 2)*(u + 4)
Let d be ((-107)/107)/(((-22)/(-4))/(-1)). Factor d*s**3 + 0 + 2/11*s - 4/11*s**2.
2*s*(s - 1)**2/11
Let c(s) be the second derivative of 1/14*s**7 + 0*s**5 + 11*s - 1/10*s**6 + 0*s**3 + 0*s**2 + 0*s**4 + 0. Solve c(j) = 0 for j.
0, 1
Let q = 9 + -4. Suppose -4*d - 12 = -5*p, 3*d - 2*p = -q*p + 18. Find l such that -5*l**2 - 4 - 2*l + l**d + 6*l**2 = 0.
-1, 2
Let h(v) = -v**3 - 15*v - 10. Let k(x) = -10*x**3 - 165*x - 110. Suppose 0 = -4*b + 5*o + 28 - 283, -3*b - 197 = 2*o. Let d(s) = b*h(s) + 6*k(s). Factor d(l).
5*(l - 2)*(l + 1)**2
Factor 10848*q + 5*q**2 - 21542*q + 10879*q.
5*q*(q + 37)
Let v(n) = -29*n**2 - 11*n - 18. Let p(t) = -43*t**2 - 12*t - 17. Let f(i) = -2*p(i) + 3*v(i). Factor f(l).
-(l + 4)*(l + 5)
Let a be (-13 + 20)/(21/12). Let l be (-1)/(-4) - 3/(-84). Find s, given that 0 - 1/7*s**a + 0*s + l*s**3 + 3/7*s**2 = 0.
-1, 0, 3
Let d be (-15)/6*2 - (-12 + 18 - 13). Factor -1/7*z**3 - 9/7*z - 6/7*z**d - 4/7.
-(z + 1)**2*(z + 4)/7
Suppose -17*w + 16*w - 9 = -2*b, 0 = 3*b - 4*w - 21. Factor -24/5 + 16/5*t + 2/5*t**2 - 2/5*t**b.
-2*(t - 2)**2*(t + 3)/5
Let p(z) be the first derivative of z**5 - 25*z**4/4 - 5*z**3/3 + 25*z**2/2 - 117. Suppose p(h) = 0. Calculate h.
-1, 0, 1, 5
Let m be 6/(5/((-10)/4)). Let a be 1 - (m + (2 - 0)). Factor -2*q**2 - 2*q + 3*q + a*q + q - 2.
-2*(q - 1)**2
Let r(l) be the first derivative of -l**4 - 8*l**3/3 - 4*l**2 - 4*l - 23. Let w(h) = h**3 + h**2 + h + 1. Let i(m) = -2*r(m) - 4*w(m). Factor i(k).
4*(k + 1)**3
Let i(z) be the first derivative of z**4 + 4/3*z**3 - 2*z**2 + 0*z - 31 - 4/5*z**5. Factor i(l).
-4*l*(l - 1)**2*(l + 1)
Let x = 17579/4653 + -1/4653. Let h = -152/45 + x. Factor -2/5 + 4/5*d - h*d**2.
-2*(d - 1)**2/5
Let g = 10311 + -10309. Factor 4/13 + 8/13*u**g - 10/13*u - 2/13*u**3.
-2*(u - 2)*(u - 1)**2/13
Let j be (-9)/(-30)*-2 - (-112)/20. Factor -2*q**4 - 8*q + q**4 + 25*q**2 + 8*q**4 - q**5 - 18*q**3 - j*q**2.
-q*(q - 2)**3*(q - 1)
Let r(z) be the second derivative of z**6/120 - z**4/8 - 7*z**3/3 + 19*z. Let n(o) be the second derivative of r(o). Suppose n(t) = 0. Calculate t.
-1, 1
Suppose 0 = 13*l - 10*l - 45. Factor 4*z - l*z**2 + 9*z**3 - 16*z**2 + 8*z**2 + 3*z**2.
z*(z - 2)*(9*z - 2)
Suppose 5*k + l - 4 - 16 = 0, 40 = 4*k - 4*l. Solve -h + 94*h**k - 16*h**4 + h + 14*h**3 - 88*h**5 - 4*h**2 = 0 for h.
0, 2/3, 1
Suppose -61 = 8*o - 9*o. Suppose -3*d + 62*d**2 + 4*d - o*d**2 = 0. Calculate d.
-1, 0
What is x in -190*x**3 - 4*x + 189*x**3 - 13*x**4 + 13*x**2 + 4*x**5 + x = 0?
-1, 0, 1/4, 1, 3
Let d(a) = -3*a - 1. Let n be d(-2). Suppose w + 20 = n*w. Suppose 4*i + w + 2*i**2 - 1 - 2 = 0. Calculate i.
-1
Find h such that 2/13*h**2 - 36/13*h - 80/13 = 0.
-2, 20
Let 2/15*j**3 - 26/15*j + 4/15*j**2 + 4/3 = 0. What is j?
-5, 1, 2
Let k be (11 - 8) + (133/14 - 8). Determine c so that -k*c**5 + 0*c**2 + 0 - 3*c**3 + 0*c + 15/2*c**4 = 0.
0, 2/3, 1
Let t(z) be the third derivative of z**8/168 - 4*z**7/175 - 11*z**6/300 + 13*z**5/75 + z**4/5 - 8*z**3/15 - 2*z**2 - 53*z. Solve t(x) = 0.
-1, 2/5, 2
Let r(p) be the first derivative of -p**7/1260 - p**6/180 - p**5/72 - p**4/72 - 5*p**2 + 6. Let c(l) be the second derivative of r(l). Solve c(n) = 0.
-2, -1, 0
Let l(f) be the first derivative of -f**4/22 + 8*f**3/33 - f**2/11 - 12*f/11 - 171. Suppose l(g) = 0. Calculate g.
-1, 2, 3
Let h(s) be the third derivative of 0 - 7/40*s**4 - s**3 + 0*s - 26*s**2 - 1/100*s**5. Suppose h(v) = 0. What is v?
-5, -2
Let m(g) be the first derivative of -8/3*g**3 - 9 + 2*g**2 + g**4 + 0*g. Factor m(i).
4*i*(i - 1)**2
Let l(y) be the second derivative of y**7/840 + y**6/120 + y**5/48 + y**4/48 + 21*y**2/2 + 11*y. Let a(g) be the first derivative of l(g). Solve a(m) = 0.
-2, -1, 0
Let u(h) be the third derivative of -h**5/180 + h**3/18 - 64*h**2. Find f, given 