 11/4*u**3 - 3/2*u**2 + 0 = 0.
-1, 0, 6
Find j such that 3*j**3 - 4*j**4 - 756*j**2 + j**3 + 460 + 768*j**2 - 468 - 4*j = 0.
-1, 1, 2
Solve 0 + 17/3*u**2 + 1/6*u**3 + 104/3*u = 0.
-26, -8, 0
Let w(l) be the second derivative of -l**8/560 - l**7/56 - l**6/30 - 19*l**3/2 + l**2/2 - 6*l. Let o(b) be the second derivative of w(b). Factor o(u).
-3*u**2*(u + 1)*(u + 4)
Let t(x) be the second derivative of -3*x**5/5 + 2560*x**4/3 - 1090558*x**3/3 - 729316*x**2 - 7*x + 20. Find j, given that t(j) = 0.
-2/3, 427
Suppose -3*q = 5*g + 40, 4*g - 6*q + 4*q = -10. Let h(m) = m**3 + 6*m**2 + 4*m - 3. Let k be h(g). What is t in 6 - 8*t - 16 + 0*t - 3*t**k + 5*t**2 = 0?
-1, 5
Let h = 8399 - 8396. Let x(y) be the third derivative of 0*y + 0*y**4 + 1/420*y**6 + 1/1176*y**8 - 7*y**2 - 2/735*y**7 + 0*y**h + 0*y**5 + 0. Factor x(d).
2*d**3*(d - 1)**2/7
Let p be (-945)/42*(0 + 12/(-9)). Let y be (-81)/(-243) + (-4)/p. Let -6/5*x - 9/5 - y*x**2 = 0. Calculate x.
-3
Let i be (-3 + (-50)/(-15))*24. Suppose -5*k + 3*k + i = 2*y, k - 4*y - 9 = 0. Factor -3*w**5 - 20*w**4 - 8*w - 36*w**3 - 32*w**2 - 3*w**5 + 4*w**2 + 2*w**k.
-4*w*(w + 1)**3*(w + 2)
Let o(c) be the first derivative of 7/30*c**4 + 0*c + 49/15*c**3 + 1/150*c**5 - 19 + 9*c**2. Let z(n) be the second derivative of o(n). Factor z(s).
2*(s + 7)**2/5
Let u(z) = -z**3 - 13*z**2 - z + 2. Let a be u(-13). What is m in 3/2*m**2 - 9/2*m - a = 0?
-2, 5
Let 153/5*z + 399/5*z**2 - 177/5*z**3 + 9/5*z**4 + 0 = 0. Calculate z.
-1/3, 0, 3, 17
Let j(o) = 28*o**3 - 27*o**2 - 300*o + 1474. Let w(q) = 9*q**3 - 9*q**2 - 102*q + 492. Let g(d) = 6*j(d) - 19*w(d). Determine x, given that g(x) = 0.
-7, 4, 6
Let s = -33087 - -99263/3. Factor 13/3*m**2 + s + 11/3*m + 4/3*m**3.
(m + 1)*(m + 2)*(4*m + 1)/3
Let h(r) be the first derivative of 14 - r**3 + 36*r + 3/2*r**2. Suppose h(p) = 0. Calculate p.
-3, 4
Factor 1961/2 + 1/2*p**2 + 981*p.
(p + 1)*(p + 1961)/2
What is s in 2*s + 8/7 + 4/7*s**2 - 2/7*s**3 = 0?
-1, 4
Let n(d) be the third derivative of 5/6*d**4 + 0*d - 2*d**3 + 3/20*d**5 + 0 - 1/60*d**6 - 186*d**2. Solve n(a) = 0.
-2, 1/2, 6
Let s(j) be the second derivative of j**7/294 + 3*j**6/70 + 27*j**5/140 + 23*j**4/84 - 4*j**3/7 - 18*j**2/7 + 1658*j. Solve s(m) = 0.
-3, -2, 1
Let g(a) be the first derivative of -a**5/10 + 5*a**4/8 - a**3/2 - 5*a**2/4 + 2*a + 3321. Factor g(p).
-(p - 4)*(p - 1)**2*(p + 1)/2
Suppose -86 = -13*k + 44. Suppose -5*d = -5*u - k, 3*u + 4 + 4 = 4*d. Solve 2/9*p**2 + 2/9*p + u = 0.
-1, 0
Factor 36*m**2 - 60*m**3 + 1296 + 864*m - 4*m**4 + 4/3*m**5.
4*(m - 6)**2*(m + 3)**3/3
Let i(b) be the third derivative of b**5/150 - 98*b**4/15 + 1552*b**3/15 + 13554*b**2. Find q, given that i(q) = 0.
4, 388
Let t = 38297/8 - 4787. Let i(k) be the third derivative of 0*k - 6*k**2 + 7/180*k**5 + 1/9*k**3 + t*k**4 + 0. Factor i(d).
(d + 1)*(7*d + 2)/3
Let q(t) be the third derivative of -t**7/294 - 7*t**6/60 - 29*t**5/84 - 2*t**4/21 + 6*t**3/7 + 1923*t**2. Solve q(s) = 0 for s.
-18, -1, 2/5
Let g = -188/209 + 2110/1881. Solve g*u**3 + 0 - 4/9*u**2 - 2/3*u = 0.
-1, 0, 3
Let d(i) = 2*i**2 - i - 2. Let b(c) = -12*c**2 + 57*c + 14. Let a(p) = -b(p) - 7*d(p). Find g such that a(g) = 0.
-25, 0
Let w be (-4)/5*(-10185)/98. Let g = 1774/21 - w. Solve 2/3*l**3 - 10/3*l + g - 2/3*l**4 + 2*l**2 = 0 for l.
-2, 1
Suppose -106*i + 112*i - 312 = 2*v, -3*i - 2*v + 156 = 0. Let m(d) = 2*d**2 + 5*d. Let g be m(4). Find z such that -40*z**3 + 5*z**4 - i + g + 60*z**2 = 0.
0, 2, 6
Let b(q) be the first derivative of -q**5/5 + 19*q**4/4 - 127*q**3/3 + 357*q**2/2 - 360*q + 2486. Factor b(w).
-(w - 8)*(w - 5)*(w - 3)**2
Let d be (-5)/(8/76 - 2475/950). Let i(v) be the second derivative of -5/33*v**3 - 1/66*v**4 + 6/11*v**d + 0 - 6*v. Find c, given that i(c) = 0.
-6, 1
Suppose -5*v + 4*o = -12, -v + 2*o = -211 + 205. Let y be -1 + 3 - (-48)/(-28). Find t such that -y*t - 1/7*t**3 - 3/7*t**2 + v = 0.
-2, -1, 0
Let i = 51 + -70. Let r(m) = m**3 + 19*m**2 + 2*m + 41. Let n be r(i). Factor 49*k**3 + 50*k**3 + 15*k**5 + 25*k**4 - 89*k**n.
5*k**3*(k + 1)*(3*k + 2)
Let a = -2367/5 - -16573/35. Let o(t) be the first derivative of -2/7*t**4 + 4/7*t**2 + 0*t**3 + a*t**5 - 4/7*t + 21. Factor o(m).
4*(m - 1)**3*(m + 1)/7
Let w = 1032873 + -4131483/4. Factor -3/8*l**3 - 3/2*l**2 + 33/8*l - w.
-3*(l - 1)**2*(l + 6)/8
Let w(l) be the second derivative of -53*l - 27/5*l**2 + 3 + 26/15*l**3 + 1/30*l**4. What is b in w(b) = 0?
-27, 1
Let m(q) be the first derivative of -267 - 17/6*q**3 + 3*q - 3/4*q**4 + 5/4*q**2. Solve m(j) = 0 for j.
-3, -1/2, 2/3
Let v(b) be the first derivative of -5/2*b**2 - 11/6*b**3 - 1/8*b**4 + 0*b + 43. Factor v(k).
-k*(k + 1)*(k + 10)/2
Factor 1140*n**2 - 3845*n**3 + 6705*n + 1929*n**3 + 1921*n**3 + 9990.
5*(n + 3)**2*(n + 222)
Factor -21*k**2 + 44842*k**3 - 44844*k**3 + 2*k + 62 - 41*k**2.
-2*(k - 1)*(k + 1)*(k + 31)
Let p(c) = 13*c - 17. Let q be p(3). What is z in 8*z**2 - 2 + 9*z**2 - 4*z - 8 - 11*z - q*z**2 = 0?
-2, -1
Let f(k) be the second derivative of -k**4/4 - 10*k**3 - 96*k**2 + 2*k + 183. What is w in f(w) = 0?
-16, -4
Let j = 105635/546 + 8/273. Let y = 202 - j. Factor 1/2 - 7/4*h**5 - 13/2*h**4 - y*h**3 + 1/4*h - 4*h**2.
-(h + 1)**4*(7*h - 2)/4
Let v(w) be the third derivative of 8/15*w**4 + 0*w - 1/25*w**6 - 69 - 2/525*w**7 - 8/5*w**3 + w**2 + 1/25*w**5. What is r in v(r) = 0?
-6, -2, 1
Let t(v) = -4*v**2 + 2*v. Let h be t(0). Factor -36*b**2 + 2*b + h*b + 48 - 4*b**3 - 2*b**4 - 3*b**3 + 6*b - 11*b**3.
-2*(b - 1)*(b + 2)**2*(b + 6)
Let z(k) be the first derivative of k**3/3 - 9*k**2/2 - 10*k + 51. Let l(n) = -4*n**2 + 28*n + 32. Let a(v) = 2*l(v) + 7*z(v). Let a(c) = 0. What is c?
-6, -1
Let n(j) be the third derivative of 49*j**6/30 - 2128*j**5/15 - 614*j**4/3 - 352*j**3/3 + 1326*j**2. Factor n(z).
4*(z - 44)*(7*z + 2)**2
Let s be ((-10)/6 - -3)/(6*(-2)/(-72)). Let i(v) be the second derivative of -v**2 + 1/2*v**3 + s*v - 1/12*v**4 + 0. Factor i(h).
-(h - 2)*(h - 1)
Let i(c) be the third derivative of c**6/30 + 29*c**5/15 + 77*c**4/3 + 3*c**2 + 454. Factor i(s).
4*s*(s + 7)*(s + 22)
Let o(c) be the first derivative of 26/3*c**3 - 8*c + 22/3*c**2 - 1/6*c**6 + 7/4*c**4 + 170 - 8/15*c**5. Determine j, given that o(j) = 0.
-2, 1/3, 3
Let l(a) = a**2 + 5*a - 2. Let k be l(-6). Suppose -y - k + 10 = 0. Let -y*w**2 - w**4 + 8*w**4 + 2 - 3*w**2 - 5*w + 5*w**3 = 0. What is w?
-1, 2/7, 1
Let l(f) be the first derivative of f**4/3 - 124*f**3/3 + 1410*f**2 + 8836*f/3 - 2732. Solve l(b) = 0.
-1, 47
Let s(r) = r**3 - 90*r**2 + 5*r + 87. Let l(k) = -4*k**3 + 448*k**2 - 24*k - 434. Let c(f) = -3*l(f) - 14*s(f). Solve c(b) = 0 for b.
-42, -1, 1
Let p(m) be the third derivative of -1/220*m**6 - 3*m + 1/66*m**4 + 1/1155*m**7 + 1/1848*m**8 + 0 + 0*m**3 - 19*m**2 - 1/330*m**5. Suppose p(f) = 0. What is f?
-2, -1, 0, 1
Suppose 15*x = 9*x + 36. Suppose 2*a - 14 = x. Factor 8*k**2 + a*k**5 + 5*k**5 - 8*k**4 - 4*k - 11*k**5.
4*k*(k - 1)**3*(k + 1)
Let z(o) be the third derivative of 7*o**5/660 - 431*o**4/33 + 328*o**3/11 + o**2 + o + 38. Determine k so that z(k) = 0.
4/7, 492
Let l = 7477/70 - -234/35. Let f = l - 113. Factor -5/4*p - 1/4*p**3 - f - p**2.
-(p + 1)**2*(p + 2)/4
Let c = -1772484 - -196748938/111. Let l = 162/37 + c. Factor 0 - 12*x**4 - l*x**2 - 16/3*x - 56*x**3.
-4*x*(x + 4)*(3*x + 1)**2/3
Let d = -194 + 313. What is n in 0*n**3 - 30*n**3 + d*n**4 + 16*n - 37*n**3 - 49*n**5 + 4 - 23*n**2 = 0?
-2/7, 1
Let d(f) be the second derivative of -16/7*f**2 - 4/21*f**4 + 20/21*f**3 - f + 78 + 1/70*f**5. Factor d(z).
2*(z - 4)*(z - 2)**2/7
Suppose o - 8*o + 42 = 0. Suppose -o*c + 25 + 35 = 0. Suppose -15*j - 31*j + 15 - 3 + c*j**2 + 4*j**2 = 0. Calculate j.
2/7, 3
Let i be (-92)/(-8) + (20 - 0) + (-4752)/176. Factor -i*z**2 + 33*z - 121/2.
-(3*z - 11)**2/2
Suppose 23*x + 22*x - 810 = 0. Let u be (x/(-27))/(5/(2 - 37)). Factor 0*p**2 - 2/3*p**3 + u*p - 4.
-2*(p - 2)*(p - 1)*(p + 3)/3
Factor -15/2*t**2 - 1/2 - 8*t.
-(t + 1)*(15*t + 1)/2
Let j(k) be the second derivative of -k**7/72 - 65*k**6/144 - 3*k**5/4 - 169*k**4/12 + 38*k. Let w(d) be the third derivative of j(d). Factor w(l).
-5*(l + 9)*(7*l + 2)
Let h be -5 - (-42 + 2704/80). Factor 0 + 0*d - 2/5*d**5 - 8/5*d**2 - h*d**3 - 2*d**4.
-2*d**2*(d + 1)*(d + 2)**2/5
Let w be (25 + -25)/(4 