be f(8). Let y = 6 + -3. Find k, given that 2*k**4 + k**3 - m*k + 4 + 3*k**4 - k**4 + y*k**3 - 2*k**5 - 8*k**2 = 0.
-1, 1, 2
Suppose 0 = -2*h - 8, -4*u - u = 2*h - 7. Factor -7*w + 2 + 2*w**3 + u*w - 2*w**2 + 2*w.
2*(w - 1)**2*(w + 1)
Suppose 9522*p**2 + 175*p - 5 + 64*p + 313*p + 13 = 0. What is p?
-2/69
Let b be 6/8 + 32284/176. Let u = b - 184. Find s, given that -2/11*s**3 + 2/11*s + 2/11 - u*s**2 = 0.
-1, 1
Let v be 14*(-3)/24 - -2. Let i be (-14)/(-2) - 26/4. Solve -1/4*d**3 + 0 - v*d + i*d**2 = 0.
0, 1
Let y(g) be the third derivative of g**7/1260 + g**6/30 + 3*g**5/5 - 7*g**4/12 + 15*g**2. Let l(o) be the second derivative of y(o). Let l(m) = 0. What is m?
-6
Factor -188/3 + 2/3*m**3 - 88/3*m**2 - 278/3*m.
2*(m - 47)*(m + 1)*(m + 2)/3
Let c be (-4)/(-2 - (2 - 2)). Suppose f + 3*j - 9 = 0, j - 3 = -c*j. Solve -f*d**4 + 8*d**3 - 2*d**4 - 4*d**2 + 5*d**4 - d**4 = 0.
0, 1
Suppose 2*y - 2 = q, 5*y + 2*q = 4*q + 8. Determine a so that 0*a**2 + 0*a - 4/7*a**y + 0*a**3 + 0 - 2/7*a**5 = 0.
-2, 0
Let q = 413/15 - 55/2. Let s(c) be the second derivative of 0*c**5 + q*c**4 + 4*c - 1/75*c**6 + 0 + 0*c**3 + 0*c**2. Factor s(t).
-2*t**2*(t - 1)*(t + 1)/5
Suppose -386*h + 2 = -389*h + 8. Find y, given that -5/4*y**4 + 5*y - 5 - 5/2*y**3 + 15/4*y**h = 0.
-2, 1
Suppose 5477 = 14*o + 1305. Let j = o - 296. Find g, given that 0*g + 0*g**j + 1/3*g**5 + 0 + 0*g**3 - 1/3*g**4 = 0.
0, 1
Let p(w) = 2*w**2 + w - 1. Let d(f) = 8*f**2 + 42*f + 13. Let h(l) = -5*d(l) - 5*p(l). What is z in h(z) = 0?
-4, -3/10
Factor -9/4*v**3 + 0*v + 0 + 3/4*v**2 + 3/2*v**4.
3*v**2*(v - 1)*(2*v - 1)/4
Let y(c) = -95*c + 20*c**2 + 119 - 31 - 21*c. Let f(l) = -7*l**2 + 39*l - 29. Let s(v) = 8*f(v) + 3*y(v). Let s(m) = 0. Calculate m.
1, 8
Let f = -8 + 8. Suppose -5 = -f*b + b, 1 = -2*d - b. Factor -d*g**2 - 4*g**3 - 4*g**4 + 0*g**2 + 2*g**4.
-2*g**2*(g + 1)**2
Factor -69/4*o + 21/2 - 3/4*o**3 + 15/2*o**2.
-3*(o - 7)*(o - 2)*(o - 1)/4
Let y(w) be the first derivative of -4*w**3/3 - 132*w**2 + 77. Factor y(c).
-4*c*(c + 66)
Suppose -9*u - 3216 = -21*u. Let h be (u/84 - 3)*27/6. Find j, given that 0 - 4/7*j - 2/7*j**3 + h*j**2 = 0.
0, 1, 2
Let h(n) be the first derivative of n**6/27 - 2*n**5/9 + n**4/2 - 14*n**3/27 + 2*n**2/9 + 44. What is q in h(q) = 0?
0, 1, 2
Suppose v + r + 7 = 2*v, 20 = 2*v - 5*r. Suppose 0 = 3*c + 4*l - 10, -v*c - l + 11 = -0*l. Factor 2/3*b + 14/3*b**3 + c*b**4 + 10/3*b**2 + 0.
2*b*(b + 1)**2*(3*b + 1)/3
Let j(p) be the first derivative of -7/15*p**5 - 7 + 1/18*p**6 - 25/9*p**3 + 8/3*p**2 + 19/12*p**4 - 4/3*p. Factor j(c).
(c - 2)**2*(c - 1)**3/3
Let y(l) be the first derivative of -3*l**4/4 + 9*l**3 - 45*l**2/2 - 75*l + 166. Factor y(f).
-3*(f - 5)**2*(f + 1)
Let t(b) be the second derivative of -5/3*b**4 - 4/3*b**3 + 6*b + 0*b**2 - 3/5*b**5 + 0. Factor t(l).
-4*l*(l + 1)*(3*l + 2)
Suppose -17*k + 38 = -13. Factor -2/3*z**2 + 0*z + k*z**3 + 5/3*z**5 - 4*z**4 + 0.
z**2*(z - 1)**2*(5*z - 2)/3
Let p(j) be the second derivative of -11*j**6/120 + 3*j**5/20 + j**4/12 + 29*j**2/2 - 12*j. Let l(q) be the first derivative of p(q). Solve l(v) = 0.
-2/11, 0, 1
Let l(k) be the first derivative of 2*k**5/15 + 14*k**4/3 + 488*k**3/9 + 224*k**2 + 384*k + 60. Solve l(s) = 0 for s.
-12, -2
Let w(t) be the third derivative of t**7/210 + t**6/8 - 9*t**5/10 + t**4/6 + 12*t**3 + 4*t**2 - 6*t. Find h such that w(h) = 0.
-18, -1, 2
Let s = -4654 - -4661. Let t = -6 + 9. Factor 4/3 + s*a**2 + 7*a + 4/3*a**t.
(a + 1)*(a + 4)*(4*a + 1)/3
Factor 0 + 1/5*p**3 - 9*p - 21/5*p**2 + 1/5*p**4.
p*(p - 5)*(p + 3)**2/5
Let r(o) be the second derivative of -o**8/15680 + o**7/4410 + o**6/5040 - o**5/420 - 5*o**4/6 - 10*o. Let l(f) be the third derivative of r(f). Factor l(m).
-(m - 1)**2*(3*m + 2)/7
Let w(o) = -2 + 11 - 10*o**4 + 3*o**3 + 31*o**2 + 5*o - 40*o**2. Let j(r) = r**4 + r**2 - r - 1. Let n(f) = -18*j(f) - 2*w(f). Factor n(i).
2*i*(i - 2)**2*(i + 1)
Suppose 5*r = 4*r - 8*r. Let b(a) be the third derivative of r + 0*a**5 + 1/105*a**7 + 0*a**3 + 0*a**6 - 1/56*a**8 + 0*a**4 + a**2 + 0*a. Factor b(k).
-2*k**4*(3*k - 1)
Let d(v) be the third derivative of -1/4*v**5 - 32*v**2 + 95/24*v**4 + 0 + 35/3*v**3 + 0*v. Find a such that d(a) = 0.
-2/3, 7
Let g(j) be the first derivative of -2*j**5 - 5*j**4/4 + 25*j**3/3 - 5*j**2 - 179. Factor g(c).
-5*c*(c - 1)*(c + 2)*(2*c - 1)
Solve 3/2*o**5 + 64 + 323/2*o**3 - 28*o**4 - 279*o**2 + 80*o = 0 for o.
-1/3, 1, 2, 8
Suppose -2*i = 8 - 12. Factor 8*y**2 + 83*y + 0*y**i + 4*y**3 - 111*y + 16.
4*(y - 1)**2*(y + 4)
Let -4/3*h**2 + 4/3*h**3 + 12 - 12*h = 0. What is h?
-3, 1, 3
Determine y so that -33*y**4 + 430*y + y**3 - 526*y - 189*y**2 - 139*y**3 - 12 = 0.
-2, -1, -2/11
Let h = -38 - -39. Let d be (((-4)/(-12))/h)/(7/3). Solve d*p**2 + 3/7*p + 2/7 = 0 for p.
-2, -1
Let b = 2354 + -2350. Suppose 0 + 10/3*d**3 + 0*d + 14/3*d**b - 4/3*d**2 = 0. What is d?
-1, 0, 2/7
Let p(v) be the first derivative of v**4/14 - 2*v**3 + 99*v**2/7 + 242*v/7 - 45. Determine m, given that p(m) = 0.
-1, 11
Find l, given that -55*l**2 + 15*l**2 + 29*l**2 + 39*l**2 + l**3 + l**3 = 0.
-14, 0
Let j = 269565/7 - 38509. Solve 4/7 - 10/7*f + 2/7*f**3 - j*f**4 + 6/7*f**2 = 0 for f.
-2, 1
Let m(k) be the second derivative of k**6/6 + 13*k**5/2 - 70*k**4/3 + 298*k. Factor m(x).
5*x**2*(x - 2)*(x + 28)
Let j be 3 - (0 + (1 - 1)). Suppose 121 = -19*f + 159. Factor 2/3 + 0*p**f - 2/3*p**4 + 4/3*p - 4/3*p**j.
-2*(p - 1)*(p + 1)**3/3
Let n = -115196/3 + 38399. Solve n*a**3 + 0 + 5/3*a + 2*a**2 = 0 for a.
-5, -1, 0
Let d(a) be the first derivative of 21 + 4/11*a**2 - 2/33*a**3 + 10/11*a. Factor d(m).
-2*(m - 5)*(m + 1)/11
Let v(z) be the third derivative of z**5/60 - 71*z**4/12 + 5041*z**3/6 + 73*z**2. Let v(g) = 0. Calculate g.
71
Let b(u) = -2*u**2 - u + 3. Let p(o) = 2*o**3 + 2*o**2 - o - 3. Let j(s) = 2*b(s) + 2*p(s). Factor j(f).
4*f*(f - 1)*(f + 1)
Let f(s) be the second derivative of s**6/150 + 7*s**5/50 + s**4/5 - 7*s**3/15 - 13*s**2/10 - s - 4. Find x such that f(x) = 0.
-13, -1, 1
Let x(i) = -8*i**3 + 3*i**2 + 3*i - 8. Let y(b) = 4*b**3 - b**2 - b + 4. Let t = 11 - 6. Suppose -t*c + 8 = -7. Let l(u) = c*x(u) + 5*y(u). Factor l(d).
-4*(d - 1)**2*(d + 1)
What is f in 27*f**2 + 88308*f - 88308*f + 3*f**3 = 0?
-9, 0
Suppose 25/6*s**3 + 40/3 - 25/6*s - 40/3*s**2 = 0. What is s?
-1, 1, 16/5
Let c(g) be the third derivative of g**6/90 + 113*g**5/15 + 12769*g**4/6 + 2885794*g**3/9 + 362*g**2. Factor c(l).
4*(l + 113)**3/3
Let n be (-12)/(-54) + 74/(-333). Factor -2/7*m + n*m**3 - 4/7*m**2 + 0 + 4/7*m**4 + 2/7*m**5.
2*m*(m - 1)*(m + 1)**3/7
Let k(t) = t**3 - 9*t**2 + 2. Let s be k(9). Factor 19*i**4 + 100*i**s - 13*i**4 - 20*i + 29*i**4 - 115*i**3.
5*i*(i - 2)*(i - 1)*(7*i - 2)
Let t = 1 - -1. Let h be 10/5*(-3)/(-6)*2. Factor -3 + 3*i + i + 3 - t*i**h.
-2*i*(i - 2)
Let v = -125/11 - -1761/154. Let t(o) be the second derivative of -2*o - 3/14*o**2 + 1/14*o**3 + 0 + v*o**4. Suppose t(i) = 0. What is i?
-1, 1/2
Let r(s) be the second derivative of -s**5/135 + s**4/18 - 4*s**3/27 + 18*s**2 - 29*s. Let l(c) be the first derivative of r(c). What is b in l(b) = 0?
1, 2
Solve -43/2*x**2 + 0 - 6*x + 101/4*x**3 + 9/4*x**4 = 0 for x.
-12, -2/9, 0, 1
Let c(w) be the third derivative of -3*w**2 + 1/120*w**6 + 1/60*w**5 + 0 + 0*w**4 + 0*w + 0*w**3. Factor c(v).
v**2*(v + 1)
Let t(k) be the second derivative of -k**5/40 + 23*k**4/12 - 40*k**3 - 288*k**2 - 683*k. Let t(c) = 0. What is c?
-2, 24
Suppose 2 = -o + 9. Suppose -o*a = 8 - 29. Factor -8 - 12*w + 16 + a*w**2 + 4.
3*(w - 2)**2
Let k(a) be the second derivative of -a**4/12 - 7*a**3/10 - 8*a**2/5 + 196*a + 2. Let k(c) = 0. Calculate c.
-16/5, -1
Let h(z) be the third derivative of 1/480*z**6 + 0 + 2*z**2 + 0*z**3 - 1/40*z**5 - 13*z + 1/12*z**4. Factor h(q).
q*(q - 4)*(q - 2)/4
Let p(t) be the first derivative of -2*t**2 - t - 3. Let o be p(-1). Factor -2*w**4 + 2*w**5 + o*w**5 - 4*w**5 + 3*w**4.
w**4*(w + 1)
Let a be 96/360*9/18. Factor 0*o + 0 - a*o**4 + 0*o**3 + 8/15*o**2.
-2*o**2*(o - 2)*(o + 2)/15
Let l(r) be the third derivative of 0 + 0*r - 1/120*r**6 + 1/120*r**5 + 1/24*r**4 + 0*r**3 - 20*r**2 - 1/420*r**7. Factor l(s).
-s*(s - 1)*(s + 1)*(s + 2)/2
Let z(l) = -6*l - 7. Let h be z(-2). Suppose 4*g = -m - 17, h*m + 9 = 3*m - 3*g. Factor 2*c + 0*