**3*(n + 14)/7
Find m such that 0*m + 8/7*m**3 + 8/7*m**4 + 0*m**2 + 0 + 2/7*m**5 = 0.
-2, 0
Let d = -42 - -48. Let s be 2/8 - 0/d. Factor -3/4*y**2 + s*y**3 + 0*y + 1.
(y - 2)**2*(y + 1)/4
Let 0*v**3 - 1/2*v**2 + 1/4*v + 0 - 1/4*v**5 + 1/2*v**4 = 0. What is v?
-1, 0, 1
Let j(h) be the third derivative of h**8/4032 - 3*h**5/20 + 14*h**2. Let m(p) be the third derivative of j(p). Let m(n) = 0. What is n?
0
Let d(p) = 9*p**3 - 188*p**2 + 1980*p - 3244. Let n(o) = -11*o**3 + 187*o**2 - 1980*o + 3246. Let q(w) = 3*d(w) + 2*n(w). Factor q(k).
5*(k - 18)**2*(k - 2)
Suppose -15*p = -10*p. Suppose -2*y + p*y = 0. Factor -2*h**2 + h**2 - 2*h + y*h**2 + 3 - 4.
-(h + 1)**2
Let n(b) be the third derivative of 1/48*b**4 + 0 - 12*b**2 + 1/360*b**5 + 0*b + 1/18*b**3. Factor n(j).
(j + 1)*(j + 2)/6
Let v = 75656/9955 - -2/9955. Solve -104/5*p**2 + 88/5*p**3 - 4/5 + v*p = 0.
2/11, 1/2
Suppose -2*v = 2*n - 4, -n + 10*v = 5*v + 10. Let s(j) be the second derivative of -1/3*j**3 + 1/10*j**5 - 1/6*j**4 + n + j + j**2. Factor s(u).
2*(u - 1)**2*(u + 1)
Let n be ((-88)/110)/(-16*(-5)/(-50)) + 4. Let i be 1/3*(-9)/(-2). Factor -i - 9/2*h**2 - n*h - 3/2*h**3.
-3*(h + 1)**3/2
Suppose 5*z + a = 2*a + 16, 4 = a. Let n be z/(-10) + (-104)/(-10). Determine p so that n + 0 + 2*p - 2 + 10*p**2 + 22*p = 0.
-2, -2/5
Suppose 0 = 2*f + 4*i + 10, -2*i - 5 = 4*f - 9. Let c be -5 - (2 - 1)/(f/(-35)). Let -c*y**5 + 25/3*y**3 + 5*y**2 - 5/3*y - 5*y**4 + 0 = 0. Calculate y.
-1, 0, 1/4, 1
Let b(m) be the first derivative of -2*m**2 - 6 - 2/5*m**5 + 0*m + 2*m**3 + 0*m**4. Factor b(x).
-2*x*(x - 1)**2*(x + 2)
Let g(o) = -o**3 - 17*o**2 - 26*o - 52. Let c be g(-16). Factor c - 18*n + 3/4*n**2.
3*(n - 12)**2/4
Suppose 4*q = 148 - 12. Let g = -31 + q. Solve 6*h**2 - 6*h**2 + g*h**2 - h**2 = 0.
0
Let u(s) = -11*s**2 - 10*s. Let j(x) = -21*x**2 - 20*x. Let p(d) = d + 28. Let r be p(-22). Let m(i) = r*j(i) - 11*u(i). Factor m(a).
-5*a*(a + 2)
Let k = -27426 + 137134/5. Factor -2/5*q**2 - k*q + 0.
-2*q*(q + 2)/5
Suppose 0*r = -2*r + 134. Solve 75*p**2 + 5*p**4 + 65*p**3 - 33*p**3 - r*p**3 - 45*p = 0 for p.
0, 1, 3
Let z(k) be the first derivative of 0*k + 1/4*k**3 + 1/4*k**4 + 0*k**2 - 1. Find y such that z(y) = 0.
-3/4, 0
Factor -16/3*r**3 + 2/3*r**2 - 2/3*r**4 + 16/3*r + 0.
-2*r*(r - 1)*(r + 1)*(r + 8)/3
Let t(x) be the third derivative of -5*x**8/336 - x**7/14 + x**6 - 7*x**5/3 + 428*x**2. Suppose t(u) = 0. What is u?
-7, 0, 2
Let d = 29/581 + 137/581. What is b in d*b**4 + 2*b**3 + 18/7*b + 0 + 30/7*b**2 = 0?
-3, -1, 0
Factor -155*d**2 - 716*d**4 + 50*d**3 - 105*d**2 + 721*d**4 + 280*d.
5*d*(d - 2)**2*(d + 14)
Let b(u) = -348*u**2 + 165*u + 30. Let v(y) = y**2 + 4. Let a(w) = b(w) - 6*v(w). Factor a(k).
-3*(2*k - 1)*(59*k + 2)
Let d(v) be the second derivative of -v**5/120 - v**4/48 + v**3/6 + 23*v**2/2 + 9*v. Let p(f) be the first derivative of d(f). Solve p(o) = 0 for o.
-2, 1
Let z = 148 - 146. Let x(j) be the third derivative of -32/315*j**7 + z*j**4 - 8/9*j**3 - 97/45*j**5 + 0*j + 0 - 9*j**2 + 4/5*j**6. Factor x(s).
-4*(s - 2)**2*(4*s - 1)**2/3
Let w(f) be the first derivative of 5*f**4/2 + 4*f**3/3 - 20*f**2 - 16*f - 52. Let w(u) = 0. Calculate u.
-2, -2/5, 2
Let p(z) be the first derivative of 5*z**9/9072 + z**8/1008 - z**7/504 - z**6/216 + 17*z**3/3 + 16. Let k(n) be the third derivative of p(n). Factor k(c).
5*c**2*(c - 1)*(c + 1)**2/3
Let l(k) be the second derivative of 0 + 5/23*k**3 + 2/23*k**2 + 7/138*k**4 - 12*k. Solve l(t) = 0.
-2, -1/7
Let x = -44089/990 - -490/11. Let w(z) be the third derivative of 0 - x*z**5 + 1/36*z**4 + 5*z**2 + 0*z + 0*z**3. Factor w(l).
-2*l*(l - 1)/3
Let w = -252/143 - -1832/715. What is s in w*s**3 - 2/5*s**4 - 6/5 + 8/5*s**2 - 4/5*s = 0?
-1, 1, 3
Suppose 61*s - 56*s - 20 = 0. What is d in -20*d**4 + 2*d**4 + d**s + 2*d**3 = 0?
0, 2/17
Let h = 1707/11 + -155. Let k(b) = 20*b - 258. Let t be k(13). Find n, given that -6/11*n - 4/11 - h*n**t = 0.
-2, -1
Let s(p) be the first derivative of 2*p**3/3 + 92*p**2 + 4232*p - 24. Let s(d) = 0. Calculate d.
-46
Let d(n) be the third derivative of -n**6/180 - n**5/45 - n**4/36 - 41*n**2. Factor d(l).
-2*l*(l + 1)**2/3
Let a(x) = 47*x**2 - 20*x**2 + 102 - 30*x**2 - 63*x. Let n(j) = j**2 + 25*j - 41. Let w(r) = -5*a(r) - 12*n(r). Factor w(s).
3*(s - 1)*(s + 6)
Factor -1089/2 + 33*a - 1/2*a**2.
-(a - 33)**2/2
Let z(i) be the first derivative of i**5/5 - 5*i**4/2 - 13*i**3/3 + 11*i**2 + 399. Suppose z(o) = 0. Calculate o.
-2, 0, 1, 11
Factor -2/7*a**4 + 0 - 228/7*a**3 + 0*a**2 + 0*a.
-2*a**3*(a + 114)/7
Let m(k) be the first derivative of -k**3/12 - 3*k**2/8 - k/2 - 126. Let m(h) = 0. What is h?
-2, -1
Let g(q) be the second derivative of q**5/60 + q**4/24 - q**3 + 9*q**2/2 - 9*q. Let r(m) be the first derivative of g(m). Factor r(p).
(p - 2)*(p + 3)
Let s(h) be the first derivative of -h**4/14 + 2*h**3/21 + 2*h**2/7 + 99. Factor s(c).
-2*c*(c - 2)*(c + 1)/7
Let n be (25/2)/5 - (-2)/(-4). Determine z, given that 6*z**2 - 46 + 0*z**2 + 9*z + 34 - 3*z**n = 0.
-4, 1
Let y(h) be the first derivative of 2*h**4/5 - 2*h**3/5 - 4*h**2/5 + 6*h/5 + 68. Solve y(j) = 0.
-1, 3/4, 1
Let 4334*d**2 - 4729*d**2 - 452*d - 20 - 348*d = 0. Calculate d.
-2, -2/79
Factor 125 + 3*u**2 + u**2 + 130*u - 7*u**2 + 8*u**2.
5*(u + 1)*(u + 25)
Suppose 3*n + 27 = -12. Let i(z) = -7*z**3 - 18*z**2 - 41*z - 30. Let u(q) = 3*q**3 + 9*q**2 + 21*q + 15. Let m(h) = n*u(h) - 6*i(h). Factor m(t).
3*(t - 5)*(t + 1)**2
Let t be (302/48 - 6)*4/28. Let k(m) be the second derivative of 7/96*m**4 + 1/32*m**5 + 0 + t*m**3 + 0*m**2 + 6*m. Factor k(r).
r*(r + 1)*(5*r + 2)/8
What is h in 512*h**3 + 16*h**4 - 2486*h**2 + 786*h**2 + 660*h - 261*h**4 - 80 + 853*h**3 = 0?
2/7, 1, 4
Suppose -a**2 + 3*a + 5*a + 0*a + 10*a + 21 - 2*a**2 = 0. Calculate a.
-1, 7
Let b(j) be the second derivative of 0*j**5 - 1/840*j**7 + 0*j**6 + 0*j**3 - 3*j + 0 + 1/2*j**4 + 0*j**2. Let s(d) be the third derivative of b(d). Factor s(k).
-3*k**2
Factor -13594 - 103*o**4 + 13594 - 4*o**5 + 19*o**4.
-4*o**4*(o + 21)
Let c(w) be the first derivative of -9*w**5/5 - 66*w**4 + 60*w**3 + 92. Let c(d) = 0. Calculate d.
-30, 0, 2/3
Let g(u) be the third derivative of 0*u - 1/270*u**5 + 0 - 7/54*u**4 - 49/27*u**3 + 17*u**2. Factor g(m).
-2*(m + 7)**2/9
Let d(z) be the first derivative of -z**7/357 - z**6/255 + z**5/170 + z**4/102 - 14*z + 5. Let y(q) be the first derivative of d(q). Solve y(j) = 0 for j.
-1, 0, 1
Let h(r) = -r**3 - 2*r**2 - 2. Let t be h(-3). Factor -d**2 - t*d**2 + 59 + 4*d**3 - 59 + 4*d.
4*d*(d - 1)**2
Let d = -524/31 - -2992/155. Factor -d*q - 2/5*q**3 + 0 - 2*q**2.
-2*q*(q + 2)*(q + 3)/5
Let q be (21/49)/((-50)/(-35)). Let i(m) be the second derivative of 0 - 3*m + 0*m**2 + 1/6*m**3 - 7/12*m**4 + q*m**5. Find p, given that i(p) = 0.
0, 1/6, 1
Let r(g) be the first derivative of -g**4/24 + g**3/18 + 5*g**2/6 + 4*g/3 - 13. Factor r(q).
-(q - 4)*(q + 1)*(q + 2)/6
Let a(j) = -3*j + 18. Let s be a(3). Factor 13 + s*z**3 + 3 + 15*z**2 - 3*z**5 - 3*z**4 - 16 + 6*z.
-3*z*(z - 2)*(z + 1)**3
Let p = 1 + 1. Let s be (-1 + 4)*-1 - -6. What is v in 7*v + s*v - p + 2*v**4 - 6*v**2 - 2 - 2*v**3 = 0?
-2, 1
Suppose -9*t = -11*t + 168. Let x be 4*16/6*27/t. Determine y, given that -x*y - 3/7*y**2 - 48/7 = 0.
-4
Factor -10/3*o**3 - 25/3*o**2 + 0 + 0*o - 1/3*o**4.
-o**2*(o + 5)**2/3
Let r(b) be the first derivative of -b**5/12 - 25*b**4/24 - 5*b**3 - b**2 - 17. Let z(p) be the second derivative of r(p). Factor z(q).
-5*(q + 2)*(q + 3)
Let c(j) be the third derivative of j**8/1680 + 2*j**7/315 - j**6/60 + 13*j**5/60 - 6*j**2. Let k(q) be the third derivative of c(q). Factor k(o).
4*(o + 3)*(3*o - 1)
What is j in 92*j - 3*j**3 - 30*j - 45*j - 32*j - 6 - 12*j**2 = 0?
-2, -1
Let i(s) = -1 + 4*s**2 - 6*s**2 + 8*s - 5 + 3*s**2. Let b(d) = 2*d**2 + 17*d - 12. Let l(t) = 3*b(t) - 7*i(t). Factor l(z).
-(z - 1)*(z + 6)
Factor 2*h - 20/7 - 2/7*h**2.
-2*(h - 5)*(h - 2)/7
Let i = 4528 + -4526. Solve -9/2 + 3/2*f**i - 33/4*f = 0 for f.
-1/2, 6
Let m(j) be the first derivative of 0*j - 5/14*j**4 - 12 - 4/21*j**3 - 1/21*j**6 - 8/35*j**5 + 0*j**2. Suppose m(w) = 0. Calculate w.
-2, -1, 0
Let g be (325/585)/((-5)/(-4)). Solve 4/3 + 4/9*u - g*u**3 - 4/3*u**2 = 0 for u.
-3, -1, 1
Let 5/4*s**3 + 0*s - 495/4*s**2 +