*(286/26 + -12). Factor -8/5*q - w*q**2 + 0 + 14/15*q**3.
2*q*(q - 4)*(7*q + 3)/15
Let x = 9824/11 + -892. Let f be (12/(-14))/(660/560*-4). What is h in 0 - x*h + f*h**2 = 0?
0, 6
Let d(l) be the second derivative of l**7/8820 - l**6/630 + l**4/12 + 61*l**3/6 + 12*l. Let w(y) be the third derivative of d(y). Factor w(g).
2*g*(g - 4)/7
Suppose -53*l**2 + 193*l**5 + 80*l - 156*l**3 + 76 + 17*l**4 - 192*l**5 + 115*l**3 = 0. Calculate l.
-19, -1, 2
Let q(j) be the first derivative of j**5/30 + j**4/18 - j**3 - 3*j**2 + 56*j - 15. Let h(m) be the first derivative of q(m). Factor h(w).
2*(w - 3)*(w + 1)*(w + 3)/3
Factor 4/5*g**3 - 2/5 - 4/5*g + 2/5*g**4 + 0*g**2.
2*(g - 1)*(g + 1)**3/5
Let q(h) be the first derivative of -13 + 2/17*h - 2/51*h**3 + 0*h**2. Determine j so that q(j) = 0.
-1, 1
Factor 0 - 384/11*v**3 + 18432/11*v**2 + 2/11*v**4 + 0*v.
2*v**2*(v - 96)**2/11
Suppose -19*x + 43 = -52. Let f be x + -9 + (-62)/(-8). Factor -f*g**2 + g**3 + 1 + 3*g.
(g - 2)**2*(4*g + 1)/4
Let o(m) be the first derivative of -16*m**5/75 - 97*m**4/30 - 8*m**3/15 + 3023. Factor o(r).
-2*r**2*(r + 12)*(8*r + 1)/15
Let b(p) be the second derivative of -p**7/2100 - p**6/450 + p**5/75 + 2*p**4/15 - 41*p**3/3 + 3*p. Let r(k) be the second derivative of b(k). Factor r(j).
-2*(j - 2)*(j + 2)**2/5
Let v(y) be the first derivative of -y**5/60 + 11*y**4/24 + 95*y**2 + 129. Let f(u) be the second derivative of v(u). Factor f(l).
-l*(l - 11)
Let h(y) = 7*y**2 - 35*y + 68. Let a(z) = -9*z**2 + 37*z - 62. Let k(b) = -4*a(b) - 6*h(b). Factor k(r).
-2*(r - 5)*(3*r - 16)
Let j(d) be the second derivative of d**7/14 - 489*d**6/10 + 4383*d**5/20 - 1459*d**4/4 + 243*d**3 + 7316*d. Factor j(m).
3*m*(m - 486)*(m - 1)**3
Let h = 35209 + -35206. Let a(n) = -n**2 - 6*n - 4. Let g be a(-3). Determine q so that 1/6*q - 1/2*q**h + 0 - 1/6*q**4 + 1/6*q**2 + 1/3*q**g = 0.
-1, -1/2, 0, 1
Factor 2861 - 26*s**3 + 0*s**2 + 92*s - 52*s**4 + 8*s**2 - 62*s**3 - 2817 - 4*s**5.
-4*(s - 1)*(s + 1)**3*(s + 11)
Let n(c) = -c**3 + c + 50. Let w be n(0). Let l be (-1)/(-4)*2 - 804/(-24). Determine z, given that -6*z - l*z + 4 + w*z**2 + 4 = 0.
2/5
Let b be (4/78*-3)/((-210)/455). Let d(r) be the second derivative of 2/3*r**3 + 5*r - b*r**4 + 0 + 0*r**2. Find i, given that d(i) = 0.
0, 1
Let k(s) be the first derivative of 33/4*s**4 + 0*s - 190 - 121/2*s**3 + 0*s**2 - 3/10*s**5. Determine v so that k(v) = 0.
0, 11
Solve -641*d + 821762 + 1/8*d**2 = 0.
2564
Let s(y) be the first derivative of 16*y**3/27 - 718*y**2/9 - 40*y - 6144. Factor s(v).
4*(v - 90)*(4*v + 1)/9
Factor 1710*m**2 + 15*m**3 + 399*m + 20*m**3 + 17*m**3 + 1316*m - 57*m**3.
-5*m*(m - 343)*(m + 1)
Let l(s) be the first derivative of -1 - 5/21*s**3 + 1/28*s**4 + 2/7*s**2 + 0*s. Factor l(x).
x*(x - 4)*(x - 1)/7
Factor 55/4 + 14*i + 1/4*i**2.
(i + 1)*(i + 55)/4
Let w(l) be the first derivative of -l**6/6 - 7*l**5/4 - 35*l**4/6 - 20*l**3/3 - 58*l + 165. Let h(n) be the first derivative of w(n). Factor h(g).
-5*g*(g + 1)*(g + 2)*(g + 4)
Suppose 2/3*l**2 - 766/3*l - 1556 = 0. Calculate l.
-6, 389
Let r be (-270)/70 - (-32)/(-28). Let z(g) = -3*g**2 - 6*g + 46. Let y be z(r). Solve 7/3*l + 1/3*l**3 - y - 5/3*l**2 = 0 for l.
1, 3
Let a(u) be the first derivative of 4 - 8*u + 19/12*u**3 + 1/40*u**5 - 9/4*u**2 - 11/24*u**4. Let g(r) be the first derivative of a(r). Factor g(i).
(i - 9)*(i - 1)**2/2
Determine c so that 0*c**3 + 0*c + 0 - 2/21*c**4 + 2/21*c**2 = 0.
-1, 0, 1
Let -11/2*b + 135/4 - 1/4*b**2 = 0. What is b?
-27, 5
Let p(q) be the third derivative of 121*q**2 + 85/3*q**3 + 0 + 7/6*q**5 - 245/24*q**4 + 1/24*q**6 + 0*q. Factor p(l).
5*(l - 2)*(l - 1)*(l + 17)
Let t(v) be the third derivative of 3*v + 0*v**3 - 13/20*v**5 - 9/40*v**6 - 3/4*v**4 + 0 - 1/35*v**7 + 25*v**2. Factor t(r).
-3*r*(r + 1)*(r + 2)*(2*r + 3)
What is p in -2/5*p**5 - 1/2*p + 3/5 + 9/10*p**3 - 13/10*p**2 + 7/10*p**4 = 0?
-1, 3/4, 1, 2
Let x be ((-10)/(-7))/(335/2345). Let q(a) be the second derivative of -1/12*a**4 + x*a + a**2 + 0 - 1/6*a**3. Find u such that q(u) = 0.
-2, 1
Let r(j) = -22 - 34*j - 25*j**2 - 18*j - 26*j + 14*j. Let p(q) = 22*q**2 + 63*q + 21. Let z(n) = 6*p(n) + 5*r(n). Factor z(o).
(o + 8)*(7*o + 2)
Let i(b) be the second derivative of -2*b**6/45 + 16*b**5 - 2400*b**4 + 192000*b**3 - 8640000*b**2 + b + 421. Determine j, given that i(j) = 0.
60
Let d be (-1 - 3/6) + (-2108)/68 + 33. Factor -1/6*a**4 - d*a - 7/6*a**2 + 0 - 5/6*a**3.
-a*(a + 1)**2*(a + 3)/6
Factor -10*c**3 + 713*c**2 - 284*c**2 + 342*c**2 - 5*c**3.
-3*c**2*(5*c - 257)
Let f = -92699 - -92701. Solve 1/9*i**4 - 4/3*i**f + 0 + 0*i**3 + 16/9*i = 0.
-4, 0, 2
Let f be -2 + -2*(6 + -8). Solve -1156*d**f + 1156*d**2 + 5*d**4 = 0.
0
Let q = -557355 - -2786873/5. Factor 222/5*m - q*m**3 - 16/5 - 756/5*m**2.
-2*(m + 8)*(7*m - 1)**2/5
Let m be 0 + (-11)/44*8/(-16). Let w(d) be the second derivative of 0*d**2 + 1/4*d**3 + m*d**4 - 4*d - 3/40*d**5 - 1/20*d**6 + 0. Suppose w(y) = 0. Calculate y.
-1, 0, 1
Let q(r) be the first derivative of -r**4/4 - 88*r**3/3 - 85*r**2/2 + 174*r + 643. Factor q(w).
-(w - 1)*(w + 2)*(w + 87)
Let x(d) be the second derivative of 4 - 15/2*d**3 + 135/2*d**2 + 1/4*d**5 - 5/4*d**4 - 5*d. Determine l, given that x(l) = 0.
-3, 3
Factor -114/5*b**3 + 3/5*b**4 + 23232/5 + 1611/5*b**2 - 10032/5*b.
3*(b - 11)**2*(b - 8)**2/5
Suppose 11 = 5*o - q - 47, 5*o = 5*q + 50. Let l be o/42 + 104/224. Determine t, given that 1/4*t**2 - 3/4*t - 1/2 + l*t**3 + 1/4*t**4 = 0.
-2, -1, 1
Let z = 17670 - 17668. Factor -8/3*l**z - 46/3*l + 4.
-2*(l + 6)*(4*l - 1)/3
Suppose 2*f - 30 = -5*c, -13*c = -9*c - 8. Let r be f - (-4 + 5) - 7. Factor 17/2*v + r + 2*v**2.
(v + 4)*(4*v + 1)/2
Let p = -769443/2 - -384722. Let -5/2*d**2 - 5/2*d + 3 - p*d**4 + 5/2*d**3 = 0. What is d?
-1, 1, 2, 3
Let d be (-2)/(-15) - (-731)/255. What is y in 0*y**5 + 73*y**4 + 6*y**5 - 58*y**4 - 15*y**2 + 20*y - y**5 - 25*y**d = 0?
-4, -1, 0, 1
Let s(k) = -k**3 - 10*k**2 + 9*k + 7. Let f be s(-8). Let b = f + 2125/11. Factor -6/11*t**4 + b + 4/11*t**2 + 4/11*t**3 - 6/11*t + 2/11*t**5.
2*(t - 1)**4*(t + 1)/11
Suppose 8/3*l**2 + 16/3 - 4/3*l**3 + 28/3*l = 0. Calculate l.
-1, 4
Let n = 19 - -203. Let f = 337 - n. Factor 35*z**3 - 23*z + 20 + f*z**2 - 3*z + 126*z.
5*(z + 1)*(z + 2)*(7*z + 2)
Suppose -4*l - 3*m = -162, -4*m + 202 = -11*l + 16*l. Suppose 5*w = k + l - 62, 3*k = w + 4. Factor -12*h**2 - 18*h + k - 1/2*h**4 + 11/2*h**3.
-h*(h - 6)**2*(h + 1)/2
Factor -1/8*m**3 - 5/8 + 5/8*m**2 + 1/8*m.
-(m - 5)*(m - 1)*(m + 1)/8
Let s be -46*70/(-2415) + (-8)/(-3). Let 7/3*n - 3*n**2 - 2/3 + 5/3*n**3 - 1/3*n**s = 0. What is n?
1, 2
Suppose 3*m = 52 - 34. Let h(a) be the first derivative of -27 + m*a + 3*a**3 - a + 15*a**2 + 21*a - 2*a. Factor h(n).
3*(n + 2)*(3*n + 4)
Factor 513 + 3/2*m**2 + 519/2*m.
3*(m + 2)*(m + 171)/2
Let p(k) be the first derivative of 2*k**6/3 - 32*k**5/5 + 5*k**4 + 56*k**3/3 + 654. Let p(d) = 0. What is d?
-1, 0, 2, 7
Factor 2270/3*g + 756 + 2/3*g**2.
2*(g + 1)*(g + 1134)/3
Let d(n) be the second derivative of -n**6/30 - 93*n**5/20 - 89*n**4/3 + 1877*n. Factor d(l).
-l**2*(l + 4)*(l + 89)
What is x in 0 + 122/3*x**2 - 2/3*x**5 - 122/3*x**4 - 84*x + 254/3*x**3 = 0?
-63, -1, 0, 1, 2
Let u(d) be the second derivative of -d**8/192 - d**7/168 + d**6/240 - 64*d**2 + 19*d. Let v(q) be the first derivative of u(q). Factor v(s).
-s**3*(s + 1)*(7*s - 2)/4
Factor -30139*z**4 + 15083*z**4 + 15059*z**4 + 360*z**2 + 66*z**3 - 768*z - 7680.
3*(z - 4)*(z + 8)**2*(z + 10)
Let d(m) be the third derivative of 0*m**3 - 1/1680*m**8 - 29/300*m**5 + 9*m**2 - 1/150*m**7 + 9/200*m**6 + 7*m + 1/12*m**4 + 0. Suppose d(v) = 0. What is v?
-10, 0, 1
Let p(g) = -7*g**3 - 109*g**2 - 560*g - 437. Let r(q) = 15*q**3 + 217*q**2 + 1124*q + 873. Let w(x) = -7*p(x) - 3*r(x). Factor w(v).
4*(v + 1)*(v + 5)*(v + 22)
Factor 2639410*a**2 + 169 + 243 - 2639400*a**2 - 226*a.
2*(a - 2)*(5*a - 103)
Suppose 5*u + 2*w = 39, -3*u + 11 + 2 = -4*w. Suppose -42*j + 39*j + 5*i = -1, -3*i = -5*j + u. Factor -252/5*s**j + 16/5 - 16/5*s.
-4*(7*s + 2)*(9*s - 2)/5
Suppose 2*r - 5*m - 7833 = -7832, -3*r + 5 = -4*m. Suppose -p = t + 1, 5*t = -p - 10 - 11. Factor 0 - 3/4*z**r - 9/4*z**p - 1/4*z + 5/4*z**2.
-z*(z + 1)*(3*z - 1)**2/4
Let y(k) = -3*k + 5*k + k**2 - 2*k - 1. L