+ 0.
-2*v*(v - 1)*(7*v - 2)**2/7
Let m be (184/56 - 3)/((-2)/(-33)). Let -6/7 - m*l - 27/7*l**2 = 0. What is l?
-1, -2/9
Let c be 23 - 477*2/42. Factor -2/7*y**2 + 8/7 + 8/7*y - c*y**3.
-2*(y - 2)*(y + 1)*(y + 2)/7
Let y(l) be the first derivative of 0*l + 0*l**2 - 1/4*l**3 + 14. Solve y(t) = 0.
0
Find p, given that -4*p**2 + 25525 + 6*p**2 + 436*p - 1847 + 84 = 0.
-109
Let w be 0 + 3 + (-23)/(-4). Suppose 0 = -3*h + 4*q + 24, -4*h + 15*q + 10 = 17*q. Factor w*m**3 + 25/8*m**h + 7/2*m + 69/8*m**2 + 1/2.
(m + 1)**2*(5*m + 2)**2/8
Suppose 90 = 10*f - f. Let o = 13 - f. Factor 0 - 4/5*b**o + 12/5*b**2 - 8/5*b.
-4*b*(b - 2)*(b - 1)/5
Suppose -y = -4*n - 111, -4 = -2*y + 2. Let f be (-5 + 3 + n/(-12))/1. Factor 0 - 1/2*t**3 + f*t**2 + 1/4*t**4 + 0*t.
t**2*(t - 1)**2/4
Let d be -13 + (-1157)/(-39) - 16. Let x(m) = m. Let i be x(4). Find s such that 2/3*s**2 - d*s**i + 2/3*s**3 + 0 - 2/3*s = 0.
-1, 0, 1
Suppose 0 = -4*s + 2*s - 48. Let n = s - -28. Factor -6*r**2 - n*r + 4*r**3 + 0*r**3 + 7*r - r**3.
3*r*(r - 1)**2
Find q, given that -2/9*q**2 + 0 - 190/9*q = 0.
-95, 0
Let x(f) = -2*f + 42. Let w be x(12). Suppose -w*c + 54 + 0 = 0. Factor c*r**4 + 1/4*r + 13/4*r**3 + 3/2*r**2 + 0 + r**5.
r*(r + 1)**2*(2*r + 1)**2/4
Let z(i) = -i**4 - 28*i**3 - 65*i**2 - 66*i - 22. Let o(h) = 4*h**4 + 142*h**3 + 326*h**2 + 330*h + 109. Let q(p) = -2*o(p) - 11*z(p). Factor q(d).
3*(d + 1)**2*(d + 2)*(d + 4)
Let m be ((-1953)/868)/(-2*(-3)/(-16)). Let -3/4*o**2 - 12 - m*o = 0. Calculate o.
-4
Let w = -117 + 117. Let c be (w/(-24))/((-2)/(-2)). Factor 0*k - 3/8*k**4 + 9/8*k**3 + c - 3/4*k**2.
-3*k**2*(k - 2)*(k - 1)/8
Let l(y) be the second derivative of -y**5/4 - 5*y**4/12 + 5*y**3/3 + 111*y. Factor l(m).
-5*m*(m - 1)*(m + 2)
Let a(f) be the first derivative of 3*f**5/20 - 11*f**4/10 + 14*f**3/5 - 12*f**2/5 + f + 10. Let w(u) be the first derivative of a(u). Factor w(l).
3*(l - 2)**2*(5*l - 2)/5
Factor 9*i**3 + 52*i**2 + 47*i**2 + 6 - 105*i**2 - 9*i.
3*(i - 1)*(i + 1)*(3*i - 2)
Suppose -2*l - 8 = -6*l. Let -y - 10 - 14*y + 2*y**2 - 4*y**2 - 3*y**l = 0. Calculate y.
-2, -1
Let q(s) be the second derivative of 1/5*s**3 + 1/20*s**4 + 3*s + 0 - 3/100*s**5 + 0*s**2. Determine h so that q(h) = 0.
-1, 0, 2
Let q(u) be the third derivative of u**7/420 - u**6/240 - u**5/8 - 23*u**4/48 - 5*u**3/6 - 125*u**2 + 2. Find x such that q(x) = 0.
-2, -1, 5
Factor 0 + 1/5*h**4 - 51/5*h**3 - 4913/5*h + 867/5*h**2.
h*(h - 17)**3/5
Let y(r) = -r**3 - 4*r**2 - 4*r + 3. Let a be y(-4). Let c = -17 + a. Factor 2*p**3 - 3 + 0*p**3 - p**3 + 3*p**2 - 3*p + c*p**3.
3*(p - 1)*(p + 1)**2
Let h(m) be the first derivative of -m**3/3 - 7*m**2/2 + 6*m - 1. Let b(t) = 2*t**2 + 21*t - 17. Let f(q) = -4*b(q) - 11*h(q). Factor f(n).
(n - 2)*(3*n - 1)
Let k be 330/715 + (-32)/(-156). Solve -1/6*j**2 - k*j - 1/2 = 0.
-3, -1
Let v = -13 - -7. Let f = v + 8. Determine t so that -f - 5 - 1 + 75*t**2 + 15*t + 2 = 0.
-2/5, 1/5
Suppose 22*s + 38 = 126. Let d(p) be the second derivative of -2*p**s - 4/3*p**3 + 7/10*p**5 + 0*p**2 + 0 + 3*p. Factor d(l).
2*l*(l - 2)*(7*l + 2)
Let k = 22959 + -182823/8. Let l = k + -105. Solve 3/8*c**5 - 3/4*c**4 - 3/2*c**3 + 0 + l*c + 3/4*c**2 = 0.
-1, 0, 1, 3
Let d be 5 + -5 + (-1149)/15. Let o = d + 77. Factor 4/5 - 6/5*x + o*x**3 + 0*x**2.
2*(x - 1)**2*(x + 2)/5
Let z = 4233 + -4233. Suppose -4/3*x**3 + z + 2*x**2 + 0*x - 2/3*x**4 = 0. What is x?
-3, 0, 1
Let c = 540 - 16199/30. Let o(v) be the third derivative of 0*v + 2/3*v**3 - 5*v**2 + c*v**5 - 1/4*v**4 + 0. Factor o(p).
2*(p - 2)*(p - 1)
Let t(f) = -43*f + 177. Let d be t(4). Let m(o) be the second derivative of 1/18*o**4 - 1/10*o**d + 1/45*o**6 - 5*o + 0 + 1/3*o**3 - 2/3*o**2. Factor m(b).
2*(b - 2)*(b - 1)**2*(b + 1)/3
Let z(r) = 4*r**4 - 10*r**3 - 14*r**2 + 2*r - 2. Let d(w) = 13*w**4 - 28*w**3 - 41*w**2 + 7*w - 7. Let h(y) = 4*d(y) - 14*z(y). Suppose h(p) = 0. What is p?
-1, 0, 8
Let g(p) be the first derivative of -1 + 3/4*p + 0*p**2 + 3/20*p**5 + 0*p**4 - 1/2*p**3. Factor g(y).
3*(y - 1)**2*(y + 1)**2/4
Suppose -4*i + 2*w = 644, 156 - 641 = 3*i - w. Let u = -163 - i. Factor u - 2/7*q**2 + 6/7*q.
-2*q*(q - 3)/7
Suppose -4*c = 4*u + c - 41, 0 = 2*u + 4*c - 28. Find h, given that 4*h**4 - 24*h**u + 4*h + 17*h**2 - 9*h**2 - 37*h**3 = 0.
-2, -1/4, 0, 2/5
Let o(b) be the second derivative of -b**4/12 - b**3/2 + 20*b**2 + 129*b - 1. Factor o(d).
-(d - 5)*(d + 8)
Let i(b) = 4*b**3 - 24*b**2 + 24*b + 6. Let c(u) = 0*u**2 + 3*u**2 - 4*u**2 + u. Let f(y) = -5*c(y) + i(y). Factor f(k).
(k - 3)*(k - 2)*(4*k + 1)
Let z = 2358 + -2356. Let n(l) be the second derivative of 9*l - 1/12*l**4 - l**z + 1/2*l**3 + 0. Solve n(f) = 0.
1, 2
Suppose 5*g = 7*g - 6. What is a in -23 + 12 + 12*a**g - 9*a - 6*a**2 - 3*a**5 + 17 = 0?
-2, -1, 1
Let z(m) be the first derivative of 1 - 1/6*m**4 - m**2 - 4*m - 2/3*m**3. Let r(s) be the first derivative of z(s). Factor r(w).
-2*(w + 1)**2
Let c = 211173/58 - 3641. Let o = c - -73/174. Factor 0*d + o*d**2 + 0.
d**2/3
Let i be (14 - -1)*(-4 - -3). Let f be (-18)/i + 1/(-5). Determine k, given that -2*k + 0 + f + 4*k**2 - 3*k**2 = 0.
1
Determine f so that -2/5*f**2 - 1568/5 + 112/5*f = 0.
28
Find g, given that -12*g - 12 + 4*g**2 + 2*g**2 + 20*g**3 - 17*g**3 - 3*g**2 = 0.
-2, -1, 2
Suppose -20 = 60*z - 200. Let r(k) be the second derivative of 12*k + 0*k**2 - 4/3*k**z + 0 + 1/3*k**4. Suppose r(s) = 0. Calculate s.
0, 2
Let h(s) be the second derivative of -s**7/105 - s**6/25 + 3*s**5/10 - 17*s**4/30 + 2*s**3/5 - 178*s. Find w such that h(w) = 0.
-6, 0, 1
Let l(q) be the second derivative of 10*q**2 - 14*q - 70/3*q**3 + 245/12*q**4 + 0. Determine i so that l(i) = 0.
2/7
Let f be 12/42 + (-314)/70 - -5. Factor f*u**2 + 8/5*u**3 + 4/5 - 8/5*u**4 - 2*u + 2/5*u**5.
2*(u - 2)*(u - 1)**3*(u + 1)/5
Let m be (1 + -4)*4/(-6). Let t(a) = -a**3 - 4*a**2 - 2*a - 4. Let r be t(-4). Factor -5*h - 3*h**2 + h**r + 0*h**3 - m + 4*h**3 + 0*h**4 - 3*h**3.
(h - 2)*(h + 1)**3
Let b be (60/(-75))/(42/(-45)). Let c = 5 + -3. Factor 2/7*a**c + 4/7 - b*a.
2*(a - 2)*(a - 1)/7
Let w(s) be the second derivative of 7/330*s**6 + 0 - 1/66*s**4 + 0*s**3 - 43*s - 1/44*s**5 + 0*s**2. Let w(k) = 0. Calculate k.
-2/7, 0, 1
What is j in -59/2*j**4 + 0 - 9*j**2 + 45/4*j**5 + 105/4*j**3 + j = 0?
0, 2/9, 2/5, 1
Let o(g) be the first derivative of 0*g - g**3 + 1/4*g**4 - 3 + g**2. Factor o(t).
t*(t - 2)*(t - 1)
Solve -100/3*c**2 + 16 + 22/3*c**4 - 62/3*c**3 + 248/3*c = 0 for c.
-2, -2/11, 2, 3
Let s(z) be the third derivative of z**5/300 - z**4/40 + z**3/15 + 45*z**2 - 2*z. Let s(l) = 0. Calculate l.
1, 2
Let 36*n - 21*n**2 + 3/2*n**3 + 0 = 0. What is n?
0, 2, 12
Let g(d) = d**4 + d**3 + d**2 + 1. Let b(o) = 35*o**4 + 5*o**3 + 75*o**2 - 35*o + 40. Let j(f) = b(f) - 30*g(f). Factor j(u).
5*(u - 2)*(u - 1)**3
Let z = 1797 - 26953/15. Solve z*g**3 - 2/15*g - 2/5*g**2 + 2/5*g**4 + 0 = 0 for g.
-1, -1/3, 0, 1
Suppose 124*v - 18 = 115*v. Factor 1/2*r**4 + 0 + 0*r + r**v + 3/2*r**3.
r**2*(r + 1)*(r + 2)/2
Let w = -30 + 32. Factor b**3 - 5*b + b**w + 5*b - 2*b.
b*(b - 1)*(b + 2)
Let u = 2/893 - -843/22325. Let w(n) be the second derivative of 0 + 1/105*n**7 + 3/50*n**5 - n - 1/30*n**4 - u*n**6 + 0*n**2 + 0*n**3. Factor w(g).
2*g**2*(g - 1)**3/5
Let t(w) = w**3 + w**2 - 5*w - 3. Let i = -110 - -108. Let r be t(i). Determine x so that 2/3*x**4 + 10/3*x**2 + 0 - 8*x**r + 8/3*x**5 + 4/3*x = 0.
-2, -1/4, 0, 1
Let o(a) = -6*a**2 - 25*a - 12. Let u(z) = 3*z**2 + 12*z + 6. Let r(p) = p**3 + 7*p**2 + 7*p + 9. Let f be r(-6). Let j(m) = f*o(m) + 7*u(m). Factor j(g).
3*(g + 1)*(g + 2)
Let 541338 - 198338 - 6537*h + 210*h**2 - 14*h**3 - 3235*h + 13*h**3 - 4928*h = 0. What is h?
70
Let i(t) be the first derivative of -2/15*t**3 - 2/5*t - 9 + 2/5*t**2. Suppose i(z) = 0. What is z?
1
Let n(z) be the first derivative of -5*z**2 + 5*z + 5/3*z**3 - 8. Suppose n(o) = 0. Calculate o.
1
Suppose -5*n + 8 = -k, -4*n = -10*k + 6*k. Find d, given that -54/5*d**3 - 3/5*d**5 + 0 - 24/5*d + 12*d**n + 21/5*d**4 = 0.
0, 1, 2
Suppose -2*l + 15 = 3*w + l, 0 = -5*l + 25. Let b = w - -2. Factor -c**b - 2*c - 51 + 51.
-c*(c + 2)
Let s(q) be the second derivative of 16*q + 0*q**4 - 3/160*q**5 + 0 + 0*q**2 + 1/240*q**6 + 1/12*q**3. Find b, given that s(b) = 0.
-1, 0, 2
Let j = 102 - 1120/1