3 - 28/3*x**2 + 0 - 2/3*x**4 - 16/3*x = 0.
-4, -2, -1, 0
Let s(t) be the second derivative of t**8/1680 - t**6/60 + t**5/15 + 8*t**4/3 - 29*t. Let f(h) be the third derivative of s(h). Solve f(b) = 0 for b.
-2, 1
Let 0 + 1/2*k**2 + 8*k = 0. What is k?
-16, 0
Let z(o) be the third derivative of o**7/120 + o**6/240 - 7*o**5/240 - o**4/48 + 73*o**2. Suppose z(p) = 0. What is p?
-1, -2/7, 0, 1
Let m = 1570 + -1566. What is v in 2*v + 4*v**3 - 6*v**m - 6*v**5 + 52/9*v**2 + 2/9 = 0?
-1, -1/3, 1
Let x(v) be the second derivative of -v**5/80 - 3*v**4/16 - v**3/3 + 85*v. Determine j so that x(j) = 0.
-8, -1, 0
Suppose -17*y = -13 - 21. Factor -2*c + 311*c**y + c**5 + 2*c**4 - 319*c**2 - c - c - 3*c**3.
c*(c - 2)*(c + 1)**2*(c + 2)
Let k(c) be the second derivative of -c**4/24 + 13*c**3/12 + 7*c**2/2 - 30*c + 2. Factor k(s).
-(s - 14)*(s + 1)/2
Suppose -4*z + 16 = 3*j, z = 5*j - 4*j - 3. Suppose j*s + 1 - 9 = 0. What is d in 0 + 2/7*d**3 + 8/7*d**s + 8/7*d = 0?
-2, 0
Let y = 97 - 185. Let o be 232/y + 2 + 1. Factor 0*i**2 + o*i**3 - 4/11*i - 2/11*i**4 + 2/11.
-2*(i - 1)**3*(i + 1)/11
Factor 1/5*f**2 + 4/5*f + 3/5.
(f + 1)*(f + 3)/5
Let f(i) be the third derivative of i**6/120 - 3*i**5/40 + i**4/4 + 5*i**3/3 - 12*i**2. Let d(w) be the first derivative of f(w). Suppose d(h) = 0. What is h?
1, 2
Let x(r) = -5*r + 5. Let m be x(-2). Suppose 3*p = -a + 3, -5*a - 5*p + 0*p + m = 0. Factor 1/2*n**a + 0 + 1/6*n**2 + 0*n + 1/6*n**5 + 1/2*n**4.
n**2*(n + 1)**3/6
Let u(j) = -j + 2*j**2 + 2*j + 7 - 3*j**2. Suppose 5*m + 169 = 64. Let w(s) = 1. Let n(v) = m*w(v) + 3*u(v). Solve n(k) = 0.
0, 1
Find q such that 4*q**3 - 678 + 684 - q**3 - 9*q = 0.
-2, 1
Suppose 0 = -6*m - 2 - 28. Let x be (-14)/m - (4 + 105/(-25)). Factor 6/5*p**2 + 0*p + 9/5*p**x + 0 + 3/5*p**4.
3*p**2*(p + 1)*(p + 2)/5
Let n(t) be the second derivative of 4*t - 1/180*t**6 + 0 + 1/30*t**5 - 3/2*t**2 - 1/18*t**4 + 0*t**3. Let s(x) be the first derivative of n(x). Factor s(k).
-2*k*(k - 2)*(k - 1)/3
Let f = 59035/21 - 2810. Let j(r) be the first derivative of 0*r**2 + f*r**3 - 4/7*r - 2. Factor j(g).
(5*g - 2)*(5*g + 2)/7
Suppose 2*d - d - 40 = 5*l, -198 = -4*d + l. Let a = 53 - d. Let 0*z**2 - 1 - 1/2*z**a + 3/2*z = 0. Calculate z.
-2, 1
Let y(m) be the third derivative of -m**8/2688 - m**7/280 + 7*m**6/960 - 8*m**2 - 61*m. Determine b so that y(b) = 0.
-7, 0, 1
Let s(w) be the third derivative of w**6/48 - 5*w**5/24 - 5*w**4/8 + 21*w**2 + 1. Factor s(f).
5*f*(f - 6)*(f + 1)/2
Let q(y) be the third derivative of y**5/240 + 13*y**4/48 + 25*y**3/24 + 29*y**2. What is j in q(j) = 0?
-25, -1
Let q(p) be the first derivative of 0*p - 2*p**3 + 41/5*p**5 + 0*p**2 + 7/4*p**4 + 14/3*p**6 - 27. Solve q(y) = 0.
-1, -3/4, 0, 2/7
Factor 1176*u + 1811 - 234 + 3911 + 2*u**3 + 84*u**2.
2*(u + 14)**3
Let i be 228/418 - 76/(-22). Let s(c) be the first derivative of 2*c - 1/4*c**4 + 4/3*c**3 - 5/2*c**2 - i. Suppose s(v) = 0. What is v?
1, 2
Solve -9 + 48*p**2 - 12 + 221 + 240*p + 2*p**3 - 6*p**2 = 0.
-10, -1
Let c(n) be the first derivative of -6 + 0*n - 1/9*n**4 - 2/9*n**2 - 8/27*n**3. Let c(y) = 0. What is y?
-1, 0
Let t be 6 + -22 - (6 - 22). Solve 0*i - 4/5*i**2 + t - i**4 - 1/5*i**5 - 8/5*i**3 = 0.
-2, -1, 0
Let y be 1/((-60)/27)*8/(-3). Suppose -k = 2*s, 0 = -3*k + 2*k. Factor s + y*p - 2*p**2.
-2*p*(5*p - 3)/5
Let x = 72 - 65. Factor 54 + 21*a + 3*a**3 - 63 - 22*a**2 + x*a**2.
3*(a - 3)*(a - 1)**2
Suppose g = -0*g + 5. Factor 101*t**4 - 5*t**g + 5*t**3 + 4*t - 4*t - 96*t**4 - 5*t**2.
-5*t**2*(t - 1)**2*(t + 1)
Let r = 989 - 989. Factor 1/3*h**3 - 1/3*h**5 + 1/3*h**2 + 0 + r*h - 1/3*h**4.
-h**2*(h - 1)*(h + 1)**2/3
Let m(q) be the second derivative of q**5/80 + q**4/2 + 8*q**3 - 13*q**2 - 2*q. Let w(y) be the first derivative of m(y). Factor w(n).
3*(n + 8)**2/4
Let u(j) be the second derivative of -2*j**7/105 - 67*j**6/150 - 43*j**5/100 + 83*j**4/60 + 47*j**3/30 - 8*j**2/5 + 4*j - 69. Determine m, given that u(m) = 0.
-16, -1, 1/4, 1
Let l(q) be the first derivative of -1/14*q**2 + 1/14*q**4 + 1/7*q + 1/35*q**5 - 13 - 1/42*q**6 - 2/21*q**3. Factor l(z).
-(z - 1)**3*(z + 1)**2/7
Suppose 3*x = 3*t - 15, -23 = -3*t + 3*x + 2*x. Let p be ((-32)/(-280))/(t/5). Factor -4/7 + 6/7*g + p*g**2.
2*(g + 2)*(2*g - 1)/7
Suppose -o + 0*o + 202 = v, v + 823 = 4*o. Let z = o + -1021/5. Find q such that -z*q**3 - 2/5*q**4 + 0*q**2 + 0 + 0*q = 0.
-2, 0
Let q(t) = 2*t**4 - t + 3. Let y be 14/10*(-3 + 8). Suppose u = -1 + y. Let z(d) = -7*d**4 - d**3 + 5*d - 11. Let k(v) = u*z(v) + 22*q(v). Solve k(r) = 0.
-1, 0, 2
Let c = 5738 + -22951/4. Determine o, given that -c*o**4 + 0 + 5/4*o**2 - o**3 + 0*o = 0.
-5, 0, 1
Let c(s) = -s**2 + 322*s - 955. Let i be c(3). Factor 1/8*n**4 - 1/4*n**i + 1/8 + 0*n**3 + 0*n.
(n - 1)**2*(n + 1)**2/8
Let q(j) be the third derivative of 1/420*j**6 - 1/1176*j**8 + 0*j**5 + 0*j**4 + 0*j + 0*j**7 + 0*j**3 - 13*j**2 + 0. Factor q(w).
-2*w**3*(w - 1)*(w + 1)/7
Let l be -1*5 - ((-3)/(-48) + 9060/(-576)). Let 0 - 88/3*z**3 - 20/3*z**4 - l*z**2 + 0*z = 0. Calculate z.
-4, -2/5, 0
Suppose 5*a + 12 = 52. Suppose -5*u - 3*v + a*v = -10, -4*v + 48 = 4*u. Factor 8 - 6*g + 2*g**2 + 0 + u*g + 7*g.
2*(g + 2)**2
Let o(g) be the first derivative of 4*g + 1/6*g**3 + 9/4*g**2 - 29. Factor o(l).
(l + 1)*(l + 8)/2
Let m(o) = 2*o**3 - o**2 + 2*o - 1. Let y(t) = 327*t**3 - 1423*t**2 + 434*t - 15. Let a(d) = -2*m(d) - 2*y(d). Find q, given that a(q) = 0.
2/47, 2/7, 4
Factor 0 - 4/3*x - 1/3*x**4 + 7/3*x**2 - 2/3*x**3.
-x*(x - 1)**2*(x + 4)/3
Let d(c) be the third derivative of c**6/660 - c**4/11 - 16*c**3/33 - c**2 - 32*c. Let d(q) = 0. What is q?
-2, 4
Let b(r) be the second derivative of 1/210*r**5 + 22*r + 1/63*r**4 - 1/63*r**3 - 2/21*r**2 + 0. Suppose b(y) = 0. What is y?
-2, -1, 1
Let h = -356 + 359. Let q(y) be the third derivative of -2*y**2 + 1/105*y**5 + 1/420*y**6 + 0*y + 0*y**h + 1/84*y**4 + 0. Solve q(g) = 0 for g.
-1, 0
Let m(x) be the first derivative of 2*x**3/33 - 6*x**2/11 + 16*x/11 - 272. Find t, given that m(t) = 0.
2, 4
Let x = -1/1353 - -551/135300. Let o(s) be the third derivative of -1/5*s**3 + x*s**6 + 0 - 1/12*s**4 - 6*s**2 + 0*s - 1/150*s**5. Factor o(u).
2*(u - 3)*(u + 1)**2/5
Let t(j) = j + 6. Let s be t(-2). Factor -33*q**4 + 18*q**s + 4*q + 13*q**4 + 2 - 4*q**3.
-2*(q - 1)*(q + 1)**3
Factor 21/5*o + 3/5*o**2 + 0.
3*o*(o + 7)/5
Factor 0*u**2 - 14001 + 13997 - 6*u - 2*u**2.
-2*(u + 1)*(u + 2)
Suppose -2*p + 2 = c, 4*p - 31 = 3*c - 7. Let x(o) = -o**2 + 6*o - 2. Let d be x(5). Factor -3*k**3 + 4*k**3 + k - d*k**3 + k**p.
-k*(k - 1)*(k + 1)
Let i(k) be the third derivative of k**6/180 - k**5/30 + k**4/12 - 13*k**3/3 + 8*k**2. Let y(u) be the first derivative of i(u). Factor y(z).
2*(z - 1)**2
Let c(v) be the second derivative of v**7/21 + 4*v**6/5 + 57*v**5/10 + 67*v**4/3 + 52*v**3 + 72*v**2 - 5*v - 4. Factor c(r).
2*(r + 2)**3*(r + 3)**2
Let r(s) be the second derivative of s**7/294 - 2*s**6/105 + s**5/28 - s**4/42 + 412*s. Factor r(c).
c**2*(c - 2)*(c - 1)**2/7
Let s(a) be the second derivative of 0*a**3 - 1/39*a**6 - 1/26*a**4 + 9*a + 1/273*a**7 + 0 + 0*a**2 + 7/130*a**5. Factor s(z).
2*z**2*(z - 3)*(z - 1)**2/13
Let m = -121 - -107. Let g be (-8)/7 + m/(-7). Factor -4/7 - g*o**2 + 10/7*o - 2/7*o**3 + 2/7*o**4.
2*(o - 1)**3*(o + 2)/7
Let w(n) be the third derivative of n**6/720 + n**5/45 + 7*n**4/48 + n**3/2 + 596*n**2. Factor w(u).
(u + 2)*(u + 3)**2/6
Suppose -2974 = v - 2976. Suppose -1/6*h**4 + 1/3*h**v + 0*h**3 + 0*h - 1/6 = 0. Calculate h.
-1, 1
Let y(x) be the second derivative of -1/130*x**5 - 9/13*x**2 - 7/78*x**4 - x + 0 - 5/13*x**3. Factor y(s).
-2*(s + 1)*(s + 3)**2/13
Let w(f) be the third derivative of 10*f**2 + 0 - 1/10*f**5 + 0*f + 4/105*f**7 + 1/12*f**6 - 5/12*f**4 - 1/3*f**3. Suppose w(x) = 0. Calculate x.
-1, -1/4, 1
Let q(o) be the third derivative of 0*o + 1/72*o**4 + 1/180*o**5 + 0 - 10*o**2 - 1/9*o**3. Find x such that q(x) = 0.
-2, 1
Let s be 7 - (5 + (-512)/(-264)). Let d(z) be the first derivative of 2/11*z**2 + 1 + 0*z - s*z**3. Factor d(f).
-2*f*(f - 2)/11
Let z = -9241/21 - -3083/7. Solve 10/21 - 2/21*t**2 + z*t = 0.
-1, 5
What is h in 3750/11 - 6/11*h**3 - 4050/11*h + 306/11*h**2 = 0?
1, 25
Let y(q) be the third derivative of -2/105*q**7 + 0*q**5 + 1/15*q**6 + 0*q**4 