 Let j(f) = 5*l(f) + 15*z(f). Suppose j(b) = 0. What is b?
-3, -1, 1
Let x(p) be the third derivative of 5*p**11/133056 + p**10/8640 + p**9/12096 + 167*p**5/60 - 239*p**2. Let y(t) be the third derivative of x(t). Factor y(g).
5*g**3*(g + 1)*(5*g + 2)/2
Let c be -3 - (3 + 2) - -12. Suppose 3*r + 29*v - 15 = 32*v, -10 = -c*r + 2*v. Factor 2/7*j**4 + 0 + r*j**2 - 2/7*j**3 + 0*j.
2*j**3*(j - 1)/7
Let -2649*d + 2339067/2 + 3/2*d**2 = 0. What is d?
883
Let z(v) be the third derivative of -v**6/320 + 151*v**5/480 - v**4 - 49*v**3/12 - 2260*v**2. Factor z(h).
-(h - 49)*(h - 2)*(3*h + 2)/8
Let b(y) be the third derivative of 1/240*y**6 - 1/48*y**4 + 0 - 1/6*y**3 + 39*y**2 - 1/420*y**7 + 1/40*y**5 + 0*y. Solve b(n) = 0.
-1, 1, 2
Let g = -4179 - -4200. Let z(d) be the first derivative of 1/24*d**4 + 0*d - 1/6*d**2 - 1/18*d**3 + g. Factor z(f).
f*(f - 2)*(f + 1)/6
Suppose 39/5*n + 6/5 - 18/5*n**3 + 3*n**2 = 0. What is n?
-1, -1/6, 2
Let b(r) be the first derivative of r**6/2 - 57*r**5/20 - 19*r**4/4 + 87*r**3/2 + 27*r**2 - 13*r + 30. Let v(j) be the first derivative of b(j). Factor v(n).
3*(n - 3)**2*(n + 2)*(5*n + 1)
Let n(f) be the first derivative of f**6/840 - 9*f**5/280 + f**4/7 + f**3/3 - 3*f**2/2 - 11. Let w(r) be the third derivative of n(r). Factor w(v).
3*(v - 8)*(v - 1)/7
Factor 0*h + 0*h**2 - 1/4*h**5 + 10*h**3 + 0 - 39/4*h**4.
-h**3*(h - 1)*(h + 40)/4
Let i be (-169)/(-39) + 1 - (-2)/(-6). Suppose -10*s = i*v - 11*s + 5, 25 = -2*v + 5*s. Suppose 1/3*c + 1/9*c**2 + v = 0. What is c?
-3, 0
Let h be 12/(-12) + -24 - -29. Determine o so that -6/5*o**h - 8*o**2 + 16/5*o + 28/5*o**3 + 0 = 0.
0, 2/3, 2
Let h(i) be the third derivative of -i**5/40 + 1181*i**4/8 - 1394761*i**3/4 - 2*i**2 - 31*i + 10. Factor h(u).
-3*(u - 1181)**2/2
Let r(u) = 3*u**3 - 237*u**2 + 125*u + 95. Let l(p) = -2*p**3 + 236*p**2 - 124*p - 98. Let h(t) = 7*l(t) + 6*r(t). Factor h(x).
2*(x - 1)*(x + 58)*(2*x + 1)
Let k(l) be the third derivative of 12*l**2 + 0*l + 2/105*l**5 + 1/21*l**6 + 0 + 5/147*l**7 + 0*l**4 + 0*l**3. Factor k(w).
2*w**2*(5*w + 2)**2/7
Let x(i) be the second derivative of -3*i**5/10 - i**4/6 + i**3 + 3*i**2 - 5*i. Let b(h) = 7*h**3 + h**2 - 7*h - 7. Let u(q) = 2*b(q) + 3*x(q). Factor u(f).
-4*(f - 1)*(f + 1)**2
Let h(c) be the second derivative of 1/7*c**4 + 83*c + 8/21*c**3 - 1/105*c**6 + 0 + 3/7*c**2 + 0*c**5. Let h(o) = 0. What is o?
-1, 3
Let j(h) = 32*h**2 + 25*h - 1423. Let w(o) = -11*o**2 - 10*o + 474. Let c(s) = -6*j(s) - 17*w(s). Factor c(m).
-5*(m - 12)*(m + 8)
Let n(r) be the first derivative of r**4/18 + 28*r**3/27 - 101*r**2/9 - 76*r/3 + 1018. Find v, given that n(v) = 0.
-19, -1, 6
Let b(o) be the first derivative of o**3 - 3456*o**2 + 3981312*o + 4151. Solve b(n) = 0 for n.
1152
Let r(n) be the second derivative of n**7/126 + n**6/5 + 27*n**5/20 - 28*n**4/9 - 160*n**3/3 + 4*n - 809. Solve r(h) = 0.
-8, -5, 0, 3
Let o(j) be the second derivative of 1/285*j**6 + 0*j**3 + 70*j + 0*j**2 - 1/190*j**5 + 0 - 1/57*j**4. What is r in o(r) = 0?
-1, 0, 2
Factor -2/13*g**3 + 4*g - 336/13 + 2*g**2.
-2*(g - 14)*(g - 3)*(g + 4)/13
Let q(j) = -7*j**3 - 80*j**2 + j + 23. Let v(h) = 4*h**3 + 44*h**2 - h - 11. Let t(w) = 5*q(w) + 9*v(w). Factor t(d).
(d - 4)*(d - 2)*(d + 2)
Suppose -3*p - 3*n = -0*p - 93, 2*p = -3*n + 58. Suppose 10 = 40*l - p*l. Determine a, given that -3*a**l - 6 + 0*a**2 + 6*a**2 - 2*a**2 + a = 0.
-3, 2
Let y(d) be the third derivative of -20*d**2 + 0*d**5 - 1/120*d**6 - 2*d + 1/18*d**4 + 1/630*d**7 + 0 + 0*d**3. Factor y(g).
g*(g - 2)**2*(g + 1)/3
Suppose -292*z = 534*z + 477*z + 1 - 1. Factor 11/5*w**2 + 18/5*w + 1/5*w**3 + z.
w*(w + 2)*(w + 9)/5
Factor -5*h + 11/4*h**3 - 2*h**2 + 0 - 1/4*h**4.
-h*(h - 10)*(h - 2)*(h + 1)/4
Let o(i) be the second derivative of i**4/6 + 14*i**3/3 + 45*i**2 - 74*i - 1. Factor o(v).
2*(v + 5)*(v + 9)
Let j be (-16)/(-6)*(-147)/(-49). Solve j*s**2 + 351*s + 783 + 1862 - 3*s**2 - 121*s = 0 for s.
-23
Let c(s) be the third derivative of 11/10*s**4 - 149*s**2 + 0 + 1/150*s**5 + 363/5*s**3 + 0*s. Factor c(b).
2*(b + 33)**2/5
Suppose 1 = -10*d + 181. Suppose -3*n = -0 - d. Suppose -3*c**2 + 3 + 24*c - 21 - n*c - 6 = 0. Calculate c.
2, 4
Let -31*c**3 - 54*c**3 + 0*c**4 - 126*c**3 + 611*c - 191*c + 208*c**2 + c**4 = 0. Calculate c.
-1, 0, 2, 210
Let n(q) be the first derivative of 6*q + 7/6*q**2 - 1/9*q**3 - 207. Suppose n(d) = 0. What is d?
-2, 9
Let b(d) be the third derivative of d**6/72 - 17*d**5/12 + 55*d**4/8 + 281*d**3/6 - 19*d**2 - 4. Let x(u) be the first derivative of b(u). Factor x(v).
5*(v - 33)*(v - 1)
Let v(u) be the second derivative of u**5/70 - 29*u**4/42 - 32*u**3/21 + 60*u**2/7 + 3913*u. Let v(l) = 0. What is l?
-2, 1, 30
Let u(t) = 2*t**2 + 2*t - 15. Let h(c) = c**3 - 5*c**2 - 14*c + 3. Let s be h(7). Let w be u(s). Factor 6*f**2 + f**2 - 2*f**3 - w*f**2.
-2*f**2*(f + 1)
Factor 0 - 8432/9*w**2 + 254/9*w**3 - 2/9*w**4 + 7688/3*w.
-2*w*(w - 62)**2*(w - 3)/9
Let m(h) be the third derivative of h**7/1890 + 91*h**6/1080 - 37*h**5/108 + 31*h**4/72 - 3*h**2 + 54*h. Determine k so that m(k) = 0.
-93, 0, 1
Let x(n) be the third derivative of n**5/60 - n**4/2 + 37*n**3/6 - 9*n**2. Let i be x(7). Find m, given that 38*m - 2*m**i - 13*m - 21*m + 6 = 0.
-1, 3
Suppose 8*q = 17 + 7. Find s such that 3 - 7 + 11*s**3 - s**3 - 8*s - 3*s**q + s**3 + 4*s**4 = 0.
-1, 1
Let b(r) be the second derivative of 75*r**4/8 + 560*r**3 + 12544*r**2 + 766*r. Find c such that b(c) = 0.
-224/15
Factor 34*n**2 + 67*n**3 - n**5 + 32*n**4 + 3821*n - 3821*n.
-n**2*(n - 34)*(n + 1)**2
Let f = 20941/1446 - -89/482. Let -28/3*o**3 - f*o + 64/3*o**2 + 8/3 = 0. What is o?
2/7, 1
Suppose -3*y + 22 = o, 4*y - o = -110 + 130. Suppose -3*a = -a. Solve a - 8*w**2 + 8/3*w + y*w**3 = 0.
0, 2/3
Let i = 507/5 - 2027/20. Let h(l) be the third derivative of -21*l**2 - 1/100*l**5 + 0 - i*l**4 + 0*l + 0*l**3. Factor h(m).
-3*m*(m + 2)/5
Let f(c) be the first derivative of 2/45*c**3 + 34/15*c**2 + 578/15*c - 66. Solve f(o) = 0.
-17
Let l(u) be the second derivative of u**6/80 + 9*u**5/160 - 15*u**4/32 + 17*u**3/16 - 9*u**2/8 + 2*u + 140. Factor l(a).
3*(a - 1)**3*(a + 6)/8
Let l(y) be the third derivative of -7/30*y**6 + 0 - 2/5*y**5 + 0*y**3 + 0*y + 4/35*y**7 - 1/84*y**8 - 84*y**2 + 4/3*y**4. Let l(f) = 0. What is f?
-1, 0, 1, 2, 4
Let y(q) be the first derivative of 22 - 5/6*q**3 - 1/4*q**4 + 2*q**2 - 1/30*q**6 + 1/4*q**5 - 4*q. Let f(d) be the first derivative of y(d). Factor f(m).
-(m - 4)*(m - 1)**2*(m + 1)
Let s(p) be the second derivative of p**7/98 - p**6/3 + 87*p**5/140 + 2*p**4/7 - 22*p**3/21 - 2767*p. Let s(q) = 0. Calculate q.
-2/3, 0, 1, 22
Let g(x) be the third derivative of x**8/6720 + x**7/1680 - x**6/40 - x**5/2 + 17*x**2. Let b(v) be the third derivative of g(v). Factor b(l).
3*(l - 2)*(l + 3)
Let i = 7324/3685 - 1170/737. Factor -132/5*w + 2178/5 + i*w**2.
2*(w - 33)**2/5
Suppose -196/5 + 34/5*x**3 - 2/5*x**4 + 70*x - 186/5*x**2 = 0. What is x?
1, 2, 7
Let o(h) be the third derivative of 0*h + 0*h**5 + 7/270*h**6 + 0 + 0*h**4 + 7*h**2 + 1/756*h**8 - 16/945*h**7 + 0*h**3. What is c in o(c) = 0?
0, 1, 7
Determine l, given that 20*l**2 - 174*l**4 - 18 + 12*l**3 + 176*l**4 - 68*l**2 + 52*l = 0.
-9, 1
Let k be (-6)/(-8)*368/138*7. Let x(v) be the first derivative of -10*v**2 + 0*v + k + 5/3*v**3. Find b, given that x(b) = 0.
0, 4
Let l be (-14 + 4524/330)*2/((-6)/345). Let 48/11*k**3 + 960/11*k + 800/11 + 2/11*k**4 + l*k**2 = 0. Calculate k.
-10, -2
Let a = 650 + -579. Let g = 71 - a. Factor g + 2/11*o**4 - 2/11*o**2 + 0*o**3 + 0*o.
2*o**2*(o - 1)*(o + 1)/11
Let k(g) = 5*g - 40. Let p be k(8). Suppose p = -0*o + 22*o - 44. Determine c so that 18/7*c - 1/7*c**o - 81/7 = 0.
9
Let r = 34074 - 34072. Factor -3/4*n + 1/4*n**4 + 7/4*n**r - 5/4*n**3 + 0.
n*(n - 3)*(n - 1)**2/4
Let a(x) be the second derivative of 343*x**5/160 + 91*x**4/6 + 83*x**3/12 - x**2 + 2*x - 2. What is q in a(q) = 0?
-4, -2/7, 2/49
Let q(o) = -17*o + 4. Let h be q(-8). Let -308*j**4 + 225*j**2 + h*j**3 - 205*j**4 - 140*j + 268*j**4 + 20 = 0. Calculate j.
-1, 2/7, 1
Factor 2/3*h**4 + 14/3*h**2 - 1/3*h**5 + 5/3*h + 0 + 4*h**3.
-h*(h - 5)*(h + 1)**3/3
Let n(q) be the first derivative of 2/13*q**5 + 10/13*q**2 + 3/26*q**4 - 34/39*q**3 + 54 - 1/39*q**6 + 0*q. Solve n(u) = 