*n**6. Factor s(v).
-3*v**3*(v - 2)*(7*v - 2)/7
Let a be (1/(4/6))/(9/138). Suppose 28*t - 33*t**2 - 24 - 7*t**3 - a*t**2 - t**2 - 14*t**3 + 74*t = 0. What is t?
-4, 2/7, 1
Let t be -8 + 279/36 + 9/4. Let n(r) be the second derivative of 0*r**3 + r**4 - 1/5*r**5 - 3*r + 0 + 0*r**t. Suppose n(q) = 0. Calculate q.
0, 3
Let j = 72 + -70. Suppose -7*x + 3192 = 2*g - 3*x, j*g + 5*x = 3187. Suppose g*a - 3*a**3 - 1606*a - 4*a**4 - a**5 = 0. What is a?
-3, -1, 0
Suppose -3*t - 6 = 5*c, 6 = t - 40*c + 39*c. Let l(v) be the first derivative of 1/5*v**t + 1/20*v**4 + 2 - 2/5*v - 1/25*v**5 - 1/10*v**2. Solve l(q) = 0.
-1, 1, 2
Suppose -4*n - 4*k = -7 - 1, -n - 3*k = 0. Suppose 4*s = -r + 16, -n*s + 5*s + r - 10 = 0. What is w in 51*w**2 - 3*w**s + 18 - 81*w + 12*w**3 + 3 = 0?
-7, 1/3, 1
Let n(i) = -3*i**4 - i**2 - 9*i + 5. Let w = -115 - -66. Let x = -44 - w. Let k(t) = -2*t**4 - 2*t**2 - 8*t + 4. Let d(j) = x*k(j) - 4*n(j). Factor d(l).
2*l*(l - 2)*(l + 1)**2
Determine y, given that 90*y**2 - 2*y**3 - 2296*y - 1 - 3 + 4 + 2124*y = 0.
0, 2, 43
Factor -3201/8*q + 12*q**2 + 3/8*q**3 + 9801/4.
3*(q - 11)**2*(q + 54)/8
Let g(t) be the second derivative of t**5/15 + 526*t**4/9 - 2110*t**3/9 + 352*t**2 + 1490*t. Factor g(v).
4*(v - 1)**2*(v + 528)/3
Let v = 35 - 41. Let r(p) = p**3 + 6*p**2 - p - 1. Let g be r(v). Factor 15*s - 15*s + 5*s**g - 2*s**5.
3*s**5
Let j(s) be the second derivative of 1/6*s**4 + 0 + 4*s**2 + 17/6*s**3 + 60*s. Suppose j(a) = 0. What is a?
-8, -1/2
Let b(n) be the first derivative of 204*n**2 - 121/7*n**3 + 3/7*n**5 - 336*n - 159/28*n**4 - 123 + 1/14*n**6. Determine h, given that b(h) = 0.
-7, 1, 4
Let v(k) be the first derivative of k**3/9 + 82*k**2 + 980*k/3 + 5945. Factor v(m).
(m + 2)*(m + 490)/3
Suppose 3*l = 3*u + 21, -40 + 15 = -5*l + 3*u. Factor -l - 4*i**5 + 104*i**4 - 1 + 64*i**2 + 136*i**3 + 0*i - 4*i - 5 + 32*i**5.
4*(i + 1)**4*(7*i - 2)
Let j(l) be the second derivative of l**9/6048 - l**8/1344 - l**7/336 + l**4/6 + l**2/2 - 34*l. Let o(n) be the third derivative of j(n). Factor o(d).
5*d**2*(d - 3)*(d + 1)/2
Let s(i) be the third derivative of -1/735*i**7 + 0 + 1/210*i**6 + 1/70*i**5 + 3*i**2 + 4/21*i**3 - 18*i - 2/21*i**4. Determine w so that s(w) = 0.
-2, 1, 2
Let c(n) be the first derivative of n**6/360 - n**5/120 + 8*n**3 + 16. Let t(d) be the third derivative of c(d). Factor t(y).
y*(y - 1)
Find a, given that 37*a**2 - 2204*a - 200 + 2189*a - 32*a**2 = 0.
-5, 8
Let s be (((119/(-14))/17)/((-8)/(-12)))/(63/(-36)). Factor s*y**2 + 3/7*y**3 + 1/7*y**4 + 1/7*y + 0.
y*(y + 1)**3/7
Let t(u) be the second derivative of -u**4/24 - 65*u**3/6 + 66*u**2 - 745*u. Factor t(f).
-(f - 2)*(f + 132)/2
Let r(d) be the first derivative of d**6/6 - d**5/5 - 15*d**4/2 - 76*d**3/3 - 28*d**2 - 3276. Factor r(g).
g*(g - 7)*(g + 2)**3
Let -2/7*k**5 + 407398/7*k - 47396/7*k**3 - 131380/7*k**2 - 610/7*k**4 - 228010/7 = 0. Calculate k.
-151, -5, 1
Factor 1/6*m**3 - 2*m**2 + 29/6*m - 3.
(m - 9)*(m - 2)*(m - 1)/6
Solve -23/3*n**3 - 13/3*n - 38/3*n**2 + 0 + 2/3*n**4 = 0 for n.
-1, -1/2, 0, 13
Let n(t) be the first derivative of 1280*t + 5*t**4 - 69 - 400/3*t**3 + 8*t**5 + 5/6*t**6 - 160*t**2. Solve n(z) = 0 for z.
-4, 2
Suppose 3364*i - 5658248 - 1/2*i**2 = 0. What is i?
3364
Let h(p) be the first derivative of 116 - 26/3*p**2 + 0*p + 4/27*p**3. Find b such that h(b) = 0.
0, 39
Let p = -594 + 596. Factor 25*m - 90 + 163 - 103 + 6*m**2 - m**p.
5*(m - 1)*(m + 6)
Suppose -5*f = -0*f - 260. Let t = f + -37. Find s such that -s**5 + t*s**3 - 9*s**2 + 7*s**2 + 12*s**2 - 4*s**5 = 0.
-1, 0, 2
Let z(b) = b**2 + 17*b - 55. Let f be z(3). Solve -3/4*m**f + 0*m + 15/4*m**4 - 21/4*m**3 + 9/4*m**2 + 0 = 0.
0, 1, 3
Let l(w) be the first derivative of w**7/105 + w**6/75 - 73*w + 11. Let f(k) be the first derivative of l(k). Factor f(s).
2*s**4*(s + 1)/5
Let t(g) be the first derivative of 1/5*g**5 + 9 + 968*g**3 - 21296*g**2 + 234256*g - 22*g**4. Find j, given that t(j) = 0.
22
Let x(l) be the third derivative of -2*l**5/3 + l**4/3 + l**3/5 + 4371*l**2. Suppose x(t) = 0. Calculate t.
-1/10, 3/10
Let s = 49691 + -49691. Factor -2*w**4 + 26/7*w**3 + s*w + 0 + 4/7*w**2.
-2*w**2*(w - 2)*(7*w + 1)/7
Let r(m) be the first derivative of 0*m + 1/3*m**3 - 1/5*m**5 - 7 + 1/3*m**4 - 3/4*m**2 + 1/36*m**6. Factor r(l).
l*(l - 3)**2*(l - 1)*(l + 1)/6
Let z be (-120)/(-140)*((-668)/(-12) - (-2 + 11)). What is d in -z*d - 4/3*d**2 + 0 = 0?
-30, 0
Let z be 3/((-245)/(-70)*24/7). Suppose 0 = 2*r - 3*w + 12 - 4, 16 = 4*r + 2*w. Factor -3/4 + g - z*g**r.
-(g - 3)*(g - 1)/4
Let d = -1/3029 + -266547/15145. Let g = 812/45 + d. Factor -g*w**2 + 4/9*w + 8/9.
-4*(w - 2)*(w + 1)/9
Let v = -57 - -60. Suppose -675*s - 68*s**3 - 90*s**2 - 71*s**3 + 136*s**v = 0. Calculate s.
-15, 0
Let b(q) be the third derivative of -1/360*q**6 - 9*q**2 - 2/3*q**4 + 0 + 0*q - 1/15*q**5 + 5/2*q**3. Let x(l) be the first derivative of b(l). Factor x(r).
-(r + 4)**2
Let y = 4637 - 426611/92. Let o = y + 1769/276. Factor 1/3*n**5 + o*n**3 - 4/3 - 25/3*n**2 + 16/3*n - 7/3*n**4.
(n - 2)**2*(n - 1)**3/3
Find n such that -n**2 + 1 + 1/2*n**3 - 1/2*n = 0.
-1, 1, 2
Let g(a) be the second derivative of -17*a**4/20 - 2*a**3/5 + 4*a + 7. Determine m, given that g(m) = 0.
-4/17, 0
Suppose -12*b = -31*b - 380. Let w be -23 - b - 5/(-1). Let 2/13 + 0*j - 2/13*j**w = 0. Calculate j.
-1, 1
Let y(o) be the first derivative of -o**6/480 + o**5/120 + 7*o**4/96 + o**3/6 + 38*o**2 - 16. Let j(u) be the second derivative of y(u). What is k in j(k) = 0?
-1, 4
Factor 204 - 101/3*d**2 - 1/3*d**3 + 36*d.
-(d - 3)*(d + 2)*(d + 102)/3
Suppose 3*l**3 + 1/6*l**2 + 0 + 0*l = 0. What is l?
-1/18, 0
Find u such that 22*u**2 - 212*u**2 - 106*u**2 - 96*u + 132*u**3 + 14*u**5 + 186*u**4 + 60*u**3 = 0.
-12, -2, -2/7, 0, 1
Let l(p) be the third derivative of -p**5/330 - 247*p**4/66 + 15*p**3 - 30*p**2 - 49. Suppose l(t) = 0. Calculate t.
-495, 1
Suppose 4 = -222*n + 2 + 2. Find k such that 6/17*k**4 + n - 2/17*k**5 - 2/17*k**3 + 4/17*k - 6/17*k**2 = 0.
-1, 0, 1, 2
Suppose x - 12 = 5*c, 9 - 3 = -3*c. Let l = 235 + -234. What is y in l + 13*y + 4*y - y**x - 17*y = 0?
-1, 1
Let l = 83 + -160. Let y = l + 81. Factor y*j**2 - 38*j + 38*j.
4*j**2
Let m(r) = -10*r**2 - 540*r + 2375. Let j(p) = p**2 + 60*p - 262. Let b(s) = -55*j(s) - 6*m(s). Find o such that b(o) = 0.
4, 8
Let s be 0/(-38)*(315/(-30))/(-21). Solve 1/3*h**2 + 16/3*h + s = 0 for h.
-16, 0
Suppose 0 = 8*b + 20 - 4. Let h(l) = -18*l - 13. Let s be h(b). Factor -30*t**3 - s*t**3 + 9 - 15*t + 56*t**3 + 3*t**2.
3*(t - 1)**2*(t + 3)
Let p = -7 - 6. Let x = p - -16. Factor 0*i**2 + i**3 - 3*i**3 - x*i - 6*i**2 - i**3.
-3*i*(i + 1)**2
Factor -3304/5*n + 2729104/5 + 1/5*n**2.
(n - 1652)**2/5
Factor 2/7*c - 86/7*c**3 + 12*c**2 + 0.
-2*c*(c - 1)*(43*c + 1)/7
Suppose -214 = -95*d + 181 + 365. Find t, given that -10/9*t**2 + 184/9*t - d = 0.
2/5, 18
Let w(r) be the first derivative of r**4 + 8*r**3/3 - 86*r**2 + 160*r + 685. Let w(t) = 0. Calculate t.
-8, 1, 5
Let r(w) = -31*w**2 + 4*w. Let q(h) = -462*h**2 + 7500*h + 4612800. Let y(k) = -q(k) + 15*r(k). Factor y(b).
-3*(b + 1240)**2
Find x such that 56*x**2 + 3*x**5 + 24*x**3 + 48*x + 130*x**2 - 141*x**4 + 69*x + 61*x**4 + 38*x**4 = 0.
-1, 0, 3, 13
Let p(h) be the first derivative of -3*h**4/16 - 36*h**3 - 1944*h**2 + 2066. Factor p(k).
-3*k*(k + 72)**2/4
Let c = -705779 - -19755993/28. Let b = 837/4 + c. Factor 32/7*o + 34/7*o**2 + b*o**3 + 8/7.
2*(o + 1)*(o + 2)*(5*o + 2)/7
Let j(n) be the second derivative of -n**4/3 + 134*n**3/3 + 136*n**2 - 78*n - 10. Suppose j(p) = 0. Calculate p.
-1, 68
Let b = 43 - 8. Factor 104*d**3 - 200*d**3 + 20 + 10*d**2 + 101*d**3 - b*d.
5*(d - 1)**2*(d + 4)
Suppose 0 = 4*r - a + 13, -4*r - 145 = -2*a - 119. Let b be (2/4)/(6/4). Let 0*h**2 + r*h + 0 - b*h**3 = 0. Calculate h.
0
Let m(z) = -18*z - 104. Let q be m(-6). Let d be 2/(-20)*q*1*-1. Factor -1/5*y**2 + 3/5 + d*y.
-(y - 3)*(y + 1)/5
Let a(c) be the first derivative of 3/7*c + 5/21*c**3 + 1/2*c**2 + 1/28*c**4 - 32. Suppose a(d) = 0. What is d?
-3, -1
Let d(l) = -2*l + 18. Let u be d(9). Let b be u - ((-8)/4 - 9/(-6)). Factor 0*h - b*h**3 + 0 - 1/2*h**2.
-h**2*(h + 1)/2
Let s(h) be the first derivative of 5*h**4/16 + 7*h**3/4 - 9*h**2 - 139*h + 145. Let g(t) 