 = 130/7 + -37/2. Let g(t) be the second derivative of 0*t**5 - 3*t + 0*t**2 + 0 + 0*t**4 + 0*t**3 + 1/10*t**6 - j*t**7. Factor g(u).
-3*u**4*(u - 1)
Let o(p) = -2*p**2 + 5*p + 12. Let a be o(4). Suppose -2*z + 5 + 3 = 0. Factor -1/5*r**z + a + 1/5*r**2 + 1/5*r**3 - 1/5*r.
-r*(r - 1)**2*(r + 1)/5
Let f = -152 - -152. Determine q so that f*q - 1/4 + 3/4*q**4 - 2*q**3 + 3/2*q**2 = 0.
-1/3, 1
Let r(t) be the first derivative of 5*t**4/4 + 20*t**3/3 + 25*t**2/2 + 10*t - 9. Solve r(x) = 0.
-2, -1
Find d such that -d - 1/4*d**2 - 1 = 0.
-2
Factor 2/7*h**2 + 4/7*h + 2/7.
2*(h + 1)**2/7
Suppose 4*u - q = 13, 4*u - 2*q - 8 = 6. Factor 0 + 0*k**2 - 2/7*k + 6/7*k**u - 4/7*k**4.
-2*k*(k - 1)**2*(2*k + 1)/7
Suppose -l + 5*a + 7 = 3*l, -l + 5*a - 2 = 0. Suppose -l*h - 15 = 0, 2*h = 2*t + h - 15. Determine r so that 6*r**3 + 4 - r - 3 - 5 + 2*r**4 + 2*r**2 - t*r = 0.
-2, -1, 1
Let p(l) be the third derivative of l**5/60 + l**4/12 + l**2. Let q be p(-3). Solve -q*c + 6*c - 3*c - c**2 + 1 = 0 for c.
-1, 1
Let w = -9 + 15. Let f(g) be the second derivative of 0 + 1/3*g**4 + 0*g**2 + g + 7/15*g**w + 0*g**3 - 9/10*g**5. Find x, given that f(x) = 0.
0, 2/7, 1
Let t = 73/440 - 3/40. Let s = t + 9/22. Let 0 + 1/2*f**4 - 1/2*f**2 + 0*f + s*f**3 - 1/2*f**5 = 0. Calculate f.
-1, 0, 1
Let p(t) be the third derivative of -3/2*t**3 - 1/2*t**4 + 2*t**2 + 0 + 0*t - 1/20*t**5. Solve p(q) = 0 for q.
-3, -1
Let j be 5*(0 - 4/(-10)). Suppose -j*d = d - 12. Factor -66*s**2 + 0 - 20*s - 80*s**3 - 32*s**d - 3 + 4 - 3.
-2*(s + 1)**2*(4*s + 1)**2
Let q be 16/4 - (1 + 3). Let i(w) be the second derivative of q*w**3 - w + 1/6*w**2 - 1/36*w**4 + 0. Factor i(m).
-(m - 1)*(m + 1)/3
Suppose -1 + 5 = 2*v. Factor d**5 + 4*d**4 + 0*d**5 - 2*d**v - d - 2*d**4.
d*(d - 1)*(d + 1)**3
Let a = 113/2 + -55. Let h = -1 + a. Factor -1/2*p**2 + h*p + 0.
-p*(p - 1)/2
Let p(o) be the second derivative of 0*o**4 + 0 + 1/126*o**7 + 0*o**2 + 1/45*o**6 + 1/60*o**5 + 0*o**3 - o. Factor p(y).
y**3*(y + 1)**2/3
Let x(s) be the third derivative of 0*s**3 + 0 - 1/420*s**7 + 0*s**6 + 0*s**4 + 0*s + 1/120*s**5 - 4*s**2. Solve x(c) = 0.
-1, 0, 1
Let r(t) be the second derivative of -t**7/2100 + t**5/300 - 7*t**3/6 + 8*t. Let q(a) be the second derivative of r(a). Determine c so that q(c) = 0.
-1, 0, 1
Let b(o) be the first derivative of 5*o**3/3 + 15*o**2/2 + 10*o + 31. Let b(g) = 0. Calculate g.
-2, -1
Solve -2/9*p**3 + 0*p**2 + 2/3*p - 4/9 = 0 for p.
-2, 1
Determine d so that -4/3*d**5 - 4*d**3 + 0 + 0*d + 4*d**4 + 4/3*d**2 = 0.
0, 1
Let q be (-2)/(-9) - (-38)/(-9). Let n = q - -9. Find d such that 0*d - 2/9*d**n - 2/3*d**3 + 2/9*d**2 + 2/3*d**4 + 0 = 0.
0, 1
Let k(y) = 2*y + 2. Let x be k(-3). Let f be 16/9 - x/18. Factor z**3 + 3*z - 5*z - 3*z**f + 2*z**2.
z*(z - 2)*(z + 1)
Suppose 0 = -4*q - x + 27, q - 3*x - 2*x - 33 = 0. Let c(y) be the first derivative of -8*y**2 + 4 + q*y - 10/3*y**3. Find u, given that c(u) = 0.
-2, 2/5
Let d(n) be the second derivative of n**5/20 + n**4/4 + n**3/3 + 8*n. Factor d(l).
l*(l + 1)*(l + 2)
Let i be (1/5)/(3/5). Let t = 0 + i. Factor 0*v**3 + 0*v + 1/3*v**4 - t*v**2 + 0.
v**2*(v - 1)*(v + 1)/3
Let v(w) be the third derivative of -w**8/1344 + w**6/480 + 5*w**2. Factor v(m).
-m**3*(m - 1)*(m + 1)/4
Let i(j) = -7*j**4 + 10*j**3 + j**2 + 4*j + 4. Let h = 8 + -12. Let v(r) = -36*r**4 + 51*r**3 + 6*r**2 + 21*r + 21. Let l(t) = h*v(t) + 21*i(t). Factor l(n).
-3*n**2*(n - 1)**2
Let x(c) be the second derivative of c**7/126 + c**6/30 - c**5/60 - 7*c**4/36 + 2*c**2/3 + 7*c. Let x(s) = 0. What is s?
-2, -1, 1
Let v be 35/14 + 85/(-30) + 1. Let -2/3*i**2 - 4/3*i - v = 0. Calculate i.
-1
Let c(m) be the third derivative of m**8/28 + 2*m**7/15 + m**6/6 + m**5/15 - 12*m**2. Factor c(i).
4*i**2*(i + 1)**2*(3*i + 1)
Let t(f) be the first derivative of -f**7/210 - f**6/540 + f**5/90 - 4*f**3/3 - 4. Let d(o) be the third derivative of t(o). What is j in d(j) = 0?
-2/3, 0, 1/2
Let w = -17 + 19. Let t(c) be the third derivative of 1/630*c**7 + 1/180*c**5 - 3*c**w + 1/120*c**6 - 1/24*c**4 - 1/9*c**3 + 0*c + 0. Factor t(r).
(r - 1)*(r + 1)**2*(r + 2)/3
Let i(t) = 6*t**2 - 4. Let h(j) = j**2 - j + 1. Let m(a) = 4*h(a) + i(a). Let m(s) = 0. What is s?
0, 2/5
Let m(r) = -r**2 + 9*r + 8. Let v be m(9). Suppose c = -c + v. Solve 2*w + 9*w**3 - w**4 - 6*w**2 - 3*w**3 - w**c = 0 for w.
0, 1
Let n be (2/16)/(28/1120). Factor -1/3*f**n + 0 - 1/3*f - 2*f**3 + 4/3*f**4 + 4/3*f**2.
-f*(f - 1)**4/3
Let z be 245/(-147) + 76/42. Factor 1/7*p - 1/7*p**3 + 1/7 - z*p**2.
-(p - 1)*(p + 1)**2/7
Suppose 10 = 5*a - 5. Let g(z) be the second derivative of 0 - 2/9*z**a + 0*z**2 + 2*z - 5/18*z**4. Let g(d) = 0. What is d?
-2/5, 0
Let m = -28 + 33. Suppose -4*f = -m*n, -3*n - f = -n. Factor -3/7*z - 12/7*z**4 - 12/7*z**2 - 18/7*z**3 + n - 3/7*z**5.
-3*z*(z + 1)**4/7
Let u(t) = -t**2 - 9*t + 26. Let c be u(-11). Factor -1/2*z**2 - 1/2*z + 0 + 1/2*z**c + 1/2*z**3.
z*(z - 1)*(z + 1)**2/2
Let a = 109/6 - 18. Let f(r) be the first derivative of -a*r**6 + 0*r - 2/5*r**5 + 1/2*r**2 + 1 + 2/3*r**3 + 0*r**4. Solve f(n) = 0.
-1, 0, 1
Let t(n) be the second derivative of -n**4/24 + n**3/3 + 5*n**2/4 - 26*n. Factor t(j).
-(j - 5)*(j + 1)/2
Let a(q) be the second derivative of -3*q - 1/8*q**4 + 1/2*q**2 - 1/12*q**3 + 0. Factor a(u).
-(u + 1)*(3*u - 2)/2
Let y(a) = 2*a**2 + 3*a + 1. Let u be y(-2). Suppose 9*j - 6*j - u = 0. Factor 1/4*s**2 + s + j.
(s + 2)**2/4
Let p(w) = -w**3 - 19*w**2 - 19*w - 18. Let y be p(-18). Suppose 0 - 2/7*o**2 + y*o = 0. Calculate o.
0
Let i(w) be the third derivative of w**5/60 + w**4/3 + 3*w**3/2 + w**2. Let b be i(-7). Factor 2/3*f**3 - 2/3*f + 2/3*f**4 - 2/3*f**b + 0.
2*f*(f - 1)*(f + 1)**2/3
Let c(x) = 7*x**2 - 2*x + 5. Let h(a) = -3*a + 5*a**2 + 8 + 5*a**2 + a**2. Let z(v) = -8*c(v) + 5*h(v). Factor z(u).
-u*(u - 1)
Let t(l) be the third derivative of l**6/60 - l**5/30 - l**4/12 + l**3/3 + 13*l**2. Determine f so that t(f) = 0.
-1, 1
Let q(v) be the second derivative of -2/105*v**7 + 2/25*v**5 - 2/5*v**2 - 2/15*v**3 - 2/75*v**6 + 0 + 2/15*v**4 - 2*v. Factor q(b).
-4*(b - 1)**2*(b + 1)**3/5
Let s(b) be the third derivative of 1/36*b**4 - 2*b**2 + 2/27*b**3 + 0*b + 1/270*b**5 + 0. Let s(j) = 0. Calculate j.
-2, -1
Let m = -55 - -56. Let -3/2*l**2 - 1/2*l + m = 0. What is l?
-1, 2/3
Suppose 4*t - 2*t + 0*t = 0. Suppose -s**2 + 1/2*s + t + 1/2*s**3 = 0. What is s?
0, 1
Factor 0*g + 0 - 4/5*g**3 + 0*g**2 + 4/5*g**5 + 0*g**4.
4*g**3*(g - 1)*(g + 1)/5
Suppose 3*u - 5*u = -12. Suppose b = 2*l - 13, 0 = -u*l + 3*l - 5*b - 13. What is x in -2/7*x**l + 2/7 + 4/7*x**3 + 0*x**2 - 4/7*x = 0?
-1, 1
Find w such that 0*w + 0 + 3/7*w**5 - 12/7*w**3 + 24/7*w**2 - 6/7*w**4 = 0.
-2, 0, 2
Suppose 0 = -0*y + 2*y + 5*y. Factor 0*n - 1/5*n**4 + 2/5*n**2 - 1/5 + y*n**3.
-(n - 1)**2*(n + 1)**2/5
Factor -5*v + 0*v + 5*v**2 - 3*v**2 + 15*v.
2*v*(v + 5)
Let x(n) be the second derivative of -25/21*n**7 + 7*n + 0 + 3*n**6 + 1/10*n**5 - 4*n**2 + 8*n**3 - 41/6*n**4. Determine g so that x(g) = 0.
-1, 2/5, 1
Let z = 35 - 21. Let r be 4/(-6) + z/3. Factor 7*g**5 - g**2 - 4*g**4 + 5*g**r - 8*g**5 + g**3.
-g**2*(g - 1)**2*(g + 1)
Factor 1/2*g - 1/4 - 1/4*g**2.
-(g - 1)**2/4
Let z(t) = t**3 + 13*t**2 + 37*t + 25. Let s(k) = -4*k**2 - 12*k - 8. Let g(y) = -14*s(y) - 4*z(y). Factor g(p).
-4*(p - 3)*(p + 1)**2
Let k = 29 - 29. Let b be -6*(3/(-81) - k). Factor 2/3*x**3 + 0 - 2/9*x**4 - 2/3*x**2 + b*x.
-2*x*(x - 1)**3/9
Let t be (-1 + (-18)/(-14))*5. Let q be (((-45)/35)/3)/((-3)/4). Determine k, given that 2/7*k**2 + 0 + q*k + t*k**4 - 16/7*k**3 = 0.
-2/5, 0, 1
Let t = -1425 + 7133/5. Factor -2*p - t*p**2 - 2/5*p**3 - 4/5.
-2*(p + 1)**2*(p + 2)/5
Let x(p) = 2 - p**2 - 3 - 1 + 3 - p. Let t(j) = -3*j**2 - j + 2. Let d(y) = -t(y) + 2*x(y). Factor d(k).
k*(k - 1)
Suppose -1/4*z**3 - 1 - 5/4*z**2 - 2*z = 0. What is z?
-2, -1
Let w = 630/17 + -4240/119. Solve -4*i**2 + 24/7*i**4 + w*i**3 - 10/7*i + 4/7 = 0 for i.
-1, -2/3, 1/4, 1
Let f(l) = l**5 - 1. Let s(m) = 2*m**5 + 18*m**4 + 26*m**3 + 10*m**2 - 6*m - 2. Let g(z) = 4*f(z) + 2*s(z). Factor g(i).
4*(i + 1)**3*(i + 2)*(2*i - 1)
Let o be (-22)/198*(-9)/2. Determine l, given that o + 1/4*l**3 + 5/4*l + l**2 = 0.
-2, -1
Let r(y) be the third derivative of -y**8/1848 - 2*y**7/385 - y**6/55 - y**5/33 