*3 - g**5 - 17*g**2. Let s(d) = 6*d**4 + 6*d**3 - 6*d**2 - 3*d - 3. Let i(l) = -8*s(l) + 3*u(l). Factor i(m).
-3*m**2*(m - 1)**2*(m + 1)
Let p be (-2)/8 - 55/20. Let o be 6/(-3)*p/9. Suppose -o*x + 2/3*x**2 + 0 = 0. What is x?
0, 1
Let a be (-3 + 2)*-6*1. Let q(b) be the third derivative of 1/150*b**5 - 1/300*b**a + 3*b**2 + 0*b + 0*b**3 + 0 + 0*b**4. Factor q(z).
-2*z**2*(z - 1)/5
Let j(t) be the third derivative of -t**6/10 + t**4/3 + t**3/3 - 2*t**2. Let a(p) = -23*p**3 - p**2 + 15*p + 3. Let i(k) = -6*a(k) + 10*j(k). Factor i(f).
2*(f + 1)*(3*f - 1)**2
Let d be -2*(2 + -3)/(-221). Let k = 452/1105 + d. Factor 2/5*y - 1/5*y**2 + 1/5*y**4 - k*y**3 + 0.
y*(y - 2)*(y - 1)*(y + 1)/5
Let r(f) be the first derivative of -3*f**4/20 + 9*f**2/10 + 6*f/5 - 2. Determine w so that r(w) = 0.
-1, 2
Let w be (0 + 1/(-5))/(4/(-25)). Suppose -w*m**2 + m**3 + 1/4*m + 0 = 0. Calculate m.
0, 1/4, 1
Let -21*u - 9*u**2 + 16 - 10*u**4 - 5*u**5 + 40*u**3 + 4 - u**2 - 14*u = 0. What is u?
-4, -1, 1
Solve 0*o**4 + 2/3*o**5 + 0*o - 2*o**3 + 0 - 4/3*o**2 = 0 for o.
-1, 0, 2
Let b(p) be the second derivative of p**5/20 - 7*p**4/12 - 3*p**3/2 + 4*p**2 + p. Let x be b(8). Factor 2*o + x*o**3 + 0*o**4 + 6*o**3 + 2*o**4 + 6*o**2.
2*o*(o + 1)**3
Let y(u) be the first derivative of 0*u**2 + 0*u - 3 + 1/18*u**4 + 0*u**3 + 2/45*u**5. Determine v, given that y(v) = 0.
-1, 0
Let h(l) = 107*l**3 - 220*l**2 - 231*l - 41. Let w(k) = 53*k**3 - 110*k**2 - 115*k - 21. Let y(z) = 3*h(z) - 7*w(z). Factor y(r).
-2*(r - 3)*(5*r + 2)**2
Let w(g) = -14*g**2 + 17*g + 24. Let p(o) = 5*o**2 - 6*o - 8. Let b(q) = 11*p(q) + 4*w(q). Factor b(z).
-(z - 4)*(z + 2)
What is j in 10/9*j**3 - 2/9*j**5 + 0 - 2/3*j**2 - 2/9*j**4 + 0*j = 0?
-3, 0, 1
Let k(h) = -h**2 + 4*h - 2. Let u be k(5). Let v = u - -10. Suppose -3/2*z**4 + 0*z + 0 - 3/2*z**v - 1/2*z**2 - 1/2*z**5 = 0. Calculate z.
-1, 0
Factor 0*v + 10/11*v**3 - 4/11*v**2 + 0.
2*v**2*(5*v - 2)/11
Factor 2/9*g**2 + 16/9*g + 32/9.
2*(g + 4)**2/9
Let o(u) be the second derivative of 1/9*u**4 - 6*u + 1/30*u**5 + 0 - 8/3*u**2 - 4/9*u**3. Find t such that o(t) = 0.
-2, 2
Let y(u) be the first derivative of 3/8*u**2 - 1/16*u**4 + 1/2*u + 0*u**3 - 4. Let y(h) = 0. What is h?
-1, 2
Suppose -59 = -17*c + 9. Factor 0*j + 0 - 1/3*j**2 + 2/3*j**3 + j**c.
j**2*(j + 1)*(3*j - 1)/3
Suppose 15 = -3*g + 33. Let y(x) be the third derivative of -1/165*x**5 + 0*x**3 + 2*x**2 - 1/132*x**4 - 1/660*x**g + 0*x + 0. Factor y(r).
-2*r*(r + 1)**2/11
Let t = -17 + 16. Let k be (-4)/(t/((-2)/(-4))). Solve -2/7*d**k - 4/7*d - 2/7 = 0.
-1
Let v(s) be the first derivative of -5*s**7/84 - 17*s**6/60 - 21*s**5/40 - 11*s**4/24 - s**3/6 + s + 1. Let a(b) be the first derivative of v(b). Factor a(u).
-u*(u + 1)**3*(5*u + 2)/2
Suppose -6 = -3*m - 0*g + 3*g, 0 = m + 3*g + 6. Find f such that 4*f + m*f**2 + f - f - 2*f**2 - 2 = 0.
1
Let r(b) be the second derivative of 0*b**5 + 0*b**2 + 0 + 1/6*b**4 - b - 1/15*b**6 + 0*b**3. Factor r(z).
-2*z**2*(z - 1)*(z + 1)
Determine m, given that 1/3*m**3 + 1/3 - 1/3*m - 1/3*m**2 = 0.
-1, 1
Let p(s) = -16*s**5 - 20*s**4 - 4*s**3 + 3*s**2. Let c(v) = -80*v**5 - 100*v**4 - 20*v**3 + 16*v**2. Let t(r) = 3*c(r) - 16*p(r). What is o in t(o) = 0?
-1, -1/4, 0
Suppose 4*w - a = 9*w + 4, 0 = 5*a + 20. Factor 2*l**5 - 2*l**3 + l**4 + l**4 - 2*l**2 + w*l**5.
2*l**2*(l - 1)*(l + 1)**2
Let n be ((1 + -3)/2)/((-4)/8). Solve 2/3*h**n + 2*h + 4/3 = 0.
-2, -1
Let x be 6/(-200)*-12*10/3. Let r(b) = b**2 + b. Let d be r(1). Factor 2/5*s**4 - 4/5 - x*s**2 - d*s + 2/5*s**3.
2*(s - 2)*(s + 1)**3/5
Let c(m) be the first derivative of -2*m**5 - 3*m**4/2 + 8*m**3 - 4*m**2 - 3. Factor c(k).
-2*k*(k - 1)*(k + 2)*(5*k - 2)
Let k be (7 - -1)/(15/35). Solve 8/3 + 30*g**2 - k*g - 98/3*g**4 + 56/3*g**3 = 0.
-1, 2/7, 1
Suppose 3*k + 0*k = -2*s + 13, 16 = 4*k + 2*s. Factor -k*p + 20*p**2 + 2 + 2*p**3 - 14*p**2 + 9*p.
2*(p + 1)**3
Let v(b) be the second derivative of b**6/24 - b**5/16 - 5*b**4/16 + 25*b**3/24 - 5*b**2/4 + 9*b. Let v(j) = 0. What is j?
-2, 1
Let f be 1*9/12*2. Let -1/2 - 1/2*l**3 - 3/2*l - f*l**2 = 0. What is l?
-1
Suppose 0 = -3*c - 3*c + 12. Factor -6/7*n**c - 8/7*n**3 + 0 + 2/7*n.
-2*n*(n + 1)*(4*n - 1)/7
Solve 18 - 4*c - 8*c + 10*c**2 - 9*c**2 + c**2 = 0.
3
Let u be 1 + 3 - 0/(-5). Let v be 7/u - (-12)/(-8). What is q in -v*q**2 - 1/4*q + 1/2 = 0?
-2, 1
Factor 0*r**4 - 3*r**4 + 9*r**4 + 45*r**2 - r**4 - 30*r**3.
5*r**2*(r - 3)**2
Let b(q) be the third derivative of -q**6/240 - q**5/40 + q**3/3 - 14*q**2. Suppose b(w) = 0. What is w?
-2, 1
Let o(g) = 5*g**2 + 20*g + 11. Let c(t) = t**2 + 4*t + 2. Let l(w) = -11*c(w) + 2*o(w). Let r be l(-2). Factor 14/5*n - 18/5*n**2 + 2*n**3 - 4/5 - 2/5*n**r.
-2*(n - 2)*(n - 1)**3/5
Let p(g) be the first derivative of -g**4 + 2*g**2 + 10. Factor p(d).
-4*d*(d - 1)*(d + 1)
Let v(o) be the second derivative of o**7/336 + o**6/240 - o**5/80 - o**4/48 + o**3/48 + o**2/16 - 2*o. Let v(b) = 0. What is b?
-1, 1
Suppose 2*m = 12*m. Factor m*j + 2/15*j**2 + 0.
2*j**2/15
Let c(u) be the second derivative of u**4/30 - 2*u**3/15 - 3*u**2/5 + 3*u. Factor c(f).
2*(f - 3)*(f + 1)/5
Let t(k) be the second derivative of 7*k**6/360 - k**5/90 - 7*k**2/2 + 6*k. Let z(i) be the first derivative of t(i). Factor z(s).
s**2*(7*s - 2)/3
Let r be 2/(-6)*(-5 + -1). Suppose -4*a = -2*a - 4. Factor -2*c**2 - 4*c - a*c**2 + 6*c**r.
2*c*(c - 2)
Factor 8*s - 12*s**3 - 12*s**5 + 28*s**4 + 589 - 589 - 12*s**2.
-4*s*(s - 1)**3*(3*s + 2)
Let j(o) be the second derivative of -4/3*o**2 + 0 + 49/60*o**5 - 6*o + 10/3*o**3 - 7/2*o**4. Factor j(q).
(q - 2)*(7*q - 2)**2/3
Let w(l) be the third derivative of l**8/840 - l**6/90 + l**4/12 + l**3/6 - 3*l**2. Let g(c) be the first derivative of w(c). Factor g(a).
2*(a - 1)**2*(a + 1)**2
Let c(h) be the first derivative of 5 - 2/27*h**3 + 0*h - 1/3*h**2. Let c(q) = 0. What is q?
-3, 0
Let o(b) be the third derivative of b**6/480 - b**5/120 - b**4/32 + 13*b**2. Determine c, given that o(c) = 0.
-1, 0, 3
Let i(c) be the first derivative of 0*c - 1/5*c**3 + 1/30*c**6 - 11 + 3/25*c**5 + 1/20*c**4 - 1/5*c**2. Solve i(z) = 0 for z.
-2, -1, 0, 1
Let y(u) be the third derivative of 5*u**5/6 - 5*u**4/6 + u**3/3 - 7*u**2. Factor y(r).
2*(5*r - 1)**2
Factor -149*p**3 + 12*p**2 + 298*p**3 - 152*p**3 - 9*p.
-3*p*(p - 3)*(p - 1)
Factor 0*r + 0*r**2 - 4/3*r**5 + 0 + 8/3*r**3 - 4/3*r**4.
-4*r**3*(r - 1)*(r + 2)/3
Let y = -22/3 - -91/12. Factor 1/4*t + y*t**2 + 0.
t*(t + 1)/4
Determine s so that -7/4*s**2 + 1/4*s**3 + 15/4*s - 9/4 = 0.
1, 3
What is w in -6*w**2 + 3*w**3 - 59 + 33 - 3*w + 32 = 0?
-1, 1, 2
Let s(c) be the third derivative of -2*c**7/105 + c**6/60 + c**5/15 - c**4/12 - 6*c**2. Suppose s(b) = 0. What is b?
-1, 0, 1/2, 1
Let d(x) be the third derivative of -x**8/112 - x**7/35 + x**5/10 + x**4/8 - 11*x**2. Factor d(t).
-3*t*(t - 1)*(t + 1)**3
Let v(t) be the first derivative of -4 + 0*t + 1/3*t**6 + 0*t**3 + 1/2*t**4 + 0*t**2 - 4/5*t**5. Let v(j) = 0. Calculate j.
0, 1
What is b in 5*b**5 - 984*b**4 - 7*b**3 + 10*b**2 + 974*b**4 + 2*b**3 = 0?
-1, 0, 1, 2
Let n = -1/4 - -17/36. What is j in -2/9*j**2 + 2/9 - n*j**3 + 2/9*j = 0?
-1, 1
Solve 4*d - 8/7*d**2 - 16/7 - 4/7*d**3 = 0.
-4, 1
Let u be (-8)/40 - (-176)/205. Let z = u + 1/123. Factor -z - 1/3*f + 1/3*f**3 + 2/3*f**2.
(f - 1)*(f + 1)*(f + 2)/3
Suppose -68*o = -62*o. Solve 4/5 + 6/5*v - 2/5*v**3 + o*v**2 = 0.
-1, 2
Let w(d) be the second derivative of -d**3 + 0 - 2*d - 1/6*d**4 - 2*d**2. Determine c so that w(c) = 0.
-2, -1
Let g(a) be the second derivative of 2/21*a**7 - a - 1/5*a**5 - 2/15*a**6 + 0 + 0*a**3 + 1/3*a**4 + 0*a**2. Suppose g(j) = 0. Calculate j.
-1, 0, 1
Let b(w) be the second derivative of w**8/33600 + w**7/12600 + w**4/4 - w. Let p(r) be the third derivative of b(r). Find d such that p(d) = 0.
-1, 0
Let a(m) = m**2 - 7*m. Let p(z) = -z - 1. Let q(o) = -a(o) - 2*p(o). Let c be q(9). Factor -k + 1/2 + 1/2*k**c.
(k - 1)**2/2
Factor 2/3*n**2 - 2*n + 4/3.
2*(n - 2)*(n - 1)/3
Let c(s) be the first derivative of -10*s**3/3 - 25*s**2/2 + 60. Determine i, given that c(i) = 0.
-5/2, 0
Let x(t) be the first derivative of 3*t**5/25 - 19*t**4/20 + 11*t**3/5 - 21*t**2/10 + 4*t/5 + 9. What is q in x(q) = 0?
1/3, 1, 4
Let h(j) be the second derivative of j**3/6 - 4*j**2 - 6*j. Le