72*n**3 - 334*n**2 - 226*n - 38. Let u(s) = p*h(s) + 10*z(s). Factor u(t).
2*(3*t + 2)**3
Let j = 18 + 66. Let h = 422/5 - j. Factor 0 - 6/5*l**3 - h*l - 6/5*l**2 - 2/5*l**4.
-2*l*(l + 1)**3/5
Let n = 25 - 165/7. Let a = 64/5 + -428/35. Determine o, given that 2*o**2 - a - n*o = 0.
-2/7, 1
Let j(b) be the third derivative of -1/24*b**5 + 0*b + 1/12*b**4 + 1/120*b**6 + 0 - 2*b**2 + 1/6*b**3. Let s(q) be the first derivative of j(q). Solve s(c) = 0.
2/3, 1
Let d(m) = -2*m**2 - m + 4. Let r(y) = 11*y**2 + 5*y - 23. Let b(u) = 34*d(u) + 6*r(u). Find f, given that b(f) = 0.
-1
Let i(d) = -d**2 + 8*d - 7. Let z be i(6). Suppose -z*t + 20 + 5 = 0. Determine y, given that 2*y + 4/7*y**3 - 4/7 - 2/7*y**t + 4/7*y**4 - 16/7*y**2 = 0.
-2, 1
Let q = 7 - 1. Let h be q/(-9) + (-8)/(-6). Let -h + 4/3*o + 2*o**2 = 0. Calculate o.
-1, 1/3
Suppose -10 = 5*d, -2*a + 2*d = 5*d - 2. Suppose -o + o - 5*o**4 + o**5 - o**3 + a*o**4 + o**2 = 0. What is o?
-1, 0, 1
Let z(p) be the first derivative of -4*p**5/15 + p**4/3 + 3. Find j such that z(j) = 0.
0, 1
Let h be 8/(-10)*10/(-4). Factor z**3 - 13 - 2*z**h + 13.
z**2*(z - 2)
Let b(f) be the first derivative of -5*f**4/4 - 5*f**3/3 + 5*f**2 + 17. Factor b(c).
-5*c*(c - 1)*(c + 2)
Suppose 14 = -0*l + 2*l. Let s(i) = -i + 9. Let p be s(l). Let -8*o - 4*o**3 - 10*o**p + 2*o - 2 - 2*o = 0. Calculate o.
-1, -1/2
Let w(b) be the third derivative of 0*b + b**2 + 1/336*b**8 + 0*b**3 + 0*b**6 + 0 + 0*b**4 - 1/210*b**7 + 0*b**5. Factor w(c).
c**4*(c - 1)
Let u(r) be the first derivative of -r**5/5 + 11*r**4 - 242*r**3 + 2662*r**2 - 14641*r + 26. Factor u(a).
-(a - 11)**4
Let u = -5 - -10. Suppose -4 = -u*n + 3*n. Suppose 0*t - 4/9*t**n + 14/9*t**3 + 0 = 0. Calculate t.
0, 2/7
Let c be (20/45)/((-6)/(-27)). Factor 0 - 1/5*d + 1/5*d**c + 1/5*d**3 - 1/5*d**4.
-d*(d - 1)**2*(d + 1)/5
Let n(h) be the second derivative of -2*h**6/15 + 2*h**5/5 - 4*h**3/3 + 2*h**2 + 7*h. Factor n(k).
-4*(k - 1)**3*(k + 1)
Let o(n) be the first derivative of n**6/3 - n**5/2 + n**4/8 + 1. Factor o(b).
b**3*(b - 1)*(4*b - 1)/2
Let i = -5/2 - -17/6. Let d(x) be the first derivative of -x**2 + i*x**3 + x + 3. Solve d(g) = 0.
1
Let l(j) be the third derivative of j**5/330 - j**4/66 + j**3/33 - 9*j**2. Factor l(n).
2*(n - 1)**2/11
Factor -2/3 + 2/3*b + 2/3*b**2 - 2/3*b**3.
-2*(b - 1)**2*(b + 1)/3
Factor -f**2 - 11*f**3 - f**2 - 3*f - 3*f**4 + 2*f**3 - 7*f**2.
-3*f*(f + 1)**3
Suppose -6 = u - 8. What is l in 14/9*l**3 + 10/9*l**u + 0 - 4/9*l = 0?
-1, 0, 2/7
Let c(y) be the second derivative of 1/6*y**6 + 3*y + 1/3*y**3 + 0 - 9/20*y**5 - 5/12*y**4 + 1/6*y**7 + 0*y**2. Factor c(i).
i*(i - 1)*(i + 1)**2*(7*i - 2)
Solve -45*m**2 + 3*m**3 + 73*m**2 + 32*m - 23*m**3 - 16 = 0.
-1, 2/5, 2
Let n = 82 + -76. Let v(c) be the first derivative of -2 + 0*c - 3/10*c**4 + 2/15*c**3 + 0*c**2 + 6/25*c**5 - 1/15*c**n. Determine y, given that v(y) = 0.
0, 1
Let p be 13/((-4095)/56) - (-2)/5. Factor 0 + 2/9*x + p*x**2.
2*x*(x + 1)/9
Let f be (48/8)/(-96)*-4. Determine m so that f*m**3 + 0*m + 0 + 0*m**2 = 0.
0
Let k(l) be the second derivative of 0 - 1/2*l**3 + l**2 + 5*l + 1/12*l**4. Factor k(b).
(b - 2)*(b - 1)
Let k(n) be the first derivative of -n**3/3 + 2*n**2 - 4*n - 9. Factor k(g).
-(g - 2)**2
Let f = -67 - -401/6. Let u = 1/12 - f. Let u - 3/4*k + 1/2*k**2 = 0. What is k?
1/2, 1
Let r(y) be the second derivative of 32/3*y**3 - 14/15*y**6 + 2/21*y**7 - 8*y**2 - 4*y + 19/5*y**5 - 25/3*y**4 + 0. Factor r(v).
4*(v - 2)**2*(v - 1)**3
Let n be (-357)/(-476)*2/4*2. Solve 3/4*r**3 + 3/2*r**2 + 0 + n*r = 0.
-1, 0
Factor -1/2*w**4 + 0 + 0*w - 5/2*w**3 + 0*w**2.
-w**3*(w + 5)/2
Factor -9 + 4*m**2 - 6*m**2 + 21*m + 19*m**2 + 3*m**3.
(m + 3)**2*(3*m - 1)
Let a(n) be the first derivative of -n**2/2 + 2*n - 4. Let u be a(0). Find b such that -1/4*b**4 + 0 - 1/4*b + 1/4*b**3 + 1/4*b**u = 0.
-1, 0, 1
Suppose -2*g - 10 = 5*m, 0 = 4*g - 5*g - 4*m - 11. Solve -2/7*u**g - 2/7*u**4 + 0 + 0*u + 2/7*u**2 + 2/7*u**3 = 0 for u.
-1, 0, 1
Let z(s) be the first derivative of s**4/22 - s**2/11 - 1. Factor z(h).
2*h*(h - 1)*(h + 1)/11
Let d(n) be the second derivative of 0*n**3 + 1/6*n**2 - 7*n + 0 - 1/36*n**4. Solve d(t) = 0.
-1, 1
Let o(y) be the first derivative of -y**6/4 + 3*y**4/4 - 3*y**2/4 - 11. Find w such that o(w) = 0.
-1, 0, 1
Let x(t) be the third derivative of -3*t**7/280 - 13*t**6/160 - t**5/80 + 13*t**4/32 + t**3/2 - 22*t**2 - 1. Solve x(f) = 0 for f.
-4, -1, -1/3, 1
Let q(f) be the third derivative of -f**9/30240 + f**8/5040 + f**5/60 - f**2. Let g(j) be the third derivative of q(j). Factor g(r).
-2*r**2*(r - 2)
Suppose 5*k**3 - 5*k**3 - 2*k**2 + 3 - 1 - k**3 + k = 0. What is k?
-2, -1, 1
Let y(x) be the first derivative of -x**6/60 + x**5/40 + x**4/24 - x**3/12 - 2*x - 1. Let k(h) be the first derivative of y(h). Factor k(o).
-o*(o - 1)**2*(o + 1)/2
Suppose -3*j + 26 = 10*j. Factor -1/3*n + 0 + 1/3*n**3 + 0*n**j.
n*(n - 1)*(n + 1)/3
Let d be ((-64)/(-12) + -6)/((-4)/18). Let r = -30 + 61/2. Solve 0*p - 1/2*p**5 + r*p**2 + 1/2*p**d - 1/2*p**4 + 0 = 0.
-1, 0, 1
Let i(p) be the third derivative of -p**8/20160 + p**7/5040 + p**6/360 - p**5/20 - 4*p**2. Let o(u) be the third derivative of i(u). Let o(q) = 0. What is q?
-1, 2
Let z(x) be the third derivative of -x**7/2520 + x**4/8 - 3*x**2. Let n(h) be the second derivative of z(h). Factor n(t).
-t**2
Let c(t) be the first derivative of 3*t**4/28 + 5*t**3/7 - 13. Solve c(u) = 0 for u.
-5, 0
Let y(l) be the second derivative of 0*l**2 + 2/165*l**6 - 1/110*l**5 + 0 + 0*l**3 + 2*l - 1/231*l**7 + 0*l**4. Let y(u) = 0. Calculate u.
0, 1
Let v(m) be the second derivative of 1/11*m**2 - 1/11*m**3 - 3*m + 1/22*m**4 + 0 - 1/110*m**5. What is t in v(t) = 0?
1
Let g be 10 - (1 + (-1 - 1)). Suppose 4*o = -5*i + 64, 0*o = -i - 5*o + 17. Determine w, given that g*w - i*w - w**2 + 0*w**2 = 0.
-1, 0
Let u = -4/3 - -2. Factor -4/3*n + u*n**2 + 2/3.
2*(n - 1)**2/3
Let q = 20 - 17. Factor 4*y**4 + y**2 + y**4 - 4*y**4 + 7*y**2 - 5*y**q - 4*y.
y*(y - 2)**2*(y - 1)
Let q(i) be the second derivative of 2*i - 2/5*i**4 - 2/5*i**2 + 0 - 11/15*i**3. Let q(g) = 0. Calculate g.
-2/3, -1/4
Let x(h) be the second derivative of -h**7/189 + h**6/135 + h**5/45 - h**4/27 - h**3/27 + h**2/9 - 11*h. Factor x(g).
-2*(g - 1)**3*(g + 1)**2/9
Let m be 64/24 - 2*1. Let p = 47 + -140/3. Solve 1/3*q**5 + 0*q**2 + p*q**3 + m*q**4 + 0*q + 0 = 0.
-1, 0
Factor 0*v - 3/5*v**3 + 3/5*v**2 + 3/5*v**5 - 3/5*v**4 + 0.
3*v**2*(v - 1)**2*(v + 1)/5
Let k(o) = o**3 + 3*o**2 - 4*o - 3. Let j be k(-3). Suppose -4*t - 2*q = -6, -5*t - 2*q + j = -0*q. Factor -m**5 + 0*m**4 + 2*m**t - 2*m**2 + 2*m**4 - m**5.
-2*m**2*(m - 1)**2*(m + 1)
Suppose -2*h + 4*h - h = 0. Let t(s) be the first derivative of 1 - 1/18*s**4 + h*s + 0*s**2 - 2/27*s**3. Find v, given that t(v) = 0.
-1, 0
Let v(k) be the first derivative of -k**6/30 - k**5/5 - 7*k**4/20 - k**3/5 + 4. Factor v(r).
-r**2*(r + 1)**2*(r + 3)/5
Let m be (-34)/(-6) - 35/7. Let g(s) be the first derivative of 0*s**2 + 0*s + m*s**3 - 4. Solve g(n) = 0 for n.
0
Let i = -3 + 11. Let c(k) be the third derivative of 0 - 2*k**2 + 1/336*k**i + 0*k**7 + 0*k - 1/120*k**6 + 0*k**3 + 0*k**5 + 0*k**4. Factor c(d).
d**3*(d - 1)*(d + 1)
Suppose -3*i + 12 = 3*z, -z + 6*z = i + 8. Factor 3*j**z + j**2 + 2*j**2 - 2*j**2 + 2*j**3.
2*j**2*(j + 2)
Let i be 3 - (6/39 - (-2)/(-13)). Let t(k) be the third derivative of 0*k**4 - 1/60*k**5 + 0 + 0*k - k**2 + 0*k**i. Solve t(s) = 0.
0
Let f(k) = 4*k**2 - k. Let l be f(1). Suppose -3*o + l*o + 3*o**3 - 3*o = 0. What is o?
-1, 0, 1
Let m(u) be the second derivative of 5*u**7/168 - u**6/8 - 3*u**5/8 + 25*u**4/24 + 35*u**3/8 + 45*u**2/8 - 7*u. Factor m(n).
5*(n - 3)**2*(n + 1)**3/4
Factor -3/5*q + 4/5*q**2 - 1/5*q**3 + 0.
-q*(q - 3)*(q - 1)/5
Suppose 3*b - 11 = n, 3 = -2*n - 1. Factor -9*y - 4 + 0*y - 2 - b*y**2.
-3*(y + 1)*(y + 2)
Let s = 307 + -2141/7. Find c, given that 0 + 6/7*c**3 + 2/7*c - s*c**2 = 0.
0, 1/3, 1
Let x(f) = -2*f**2 - f**2 - 16*f - 27 - 4*f. Let a(q) = -9*q**2 - 61*q - 81. Let c(p) = -2*a(p) + 7*x(p). Solve c(k) = 0 for k.
-3
Let m = 15 - 8. Suppose 9 = -4*i + m*i. Factor 1/5*p + 1/5 - 1/5*p**i - 1/5*p**2.
-(p - 1)*(p + 1)**2/5
Factor 9 - 28 + 19 - 2*k**2 + 2*k.
-2*k*(k - 1)
Let j(p) = -p**2 + 4*p - 2. Let i be j(