(r) be the third derivative of r**2 + 0 + 0*r + 1/24*r**4 - 1/3*r**o + 1/60*r**5. What is u in f(u) = 0?
-2, 1
Suppose 7*y = 4 + 10. Suppose -2*n = -y*b - 10 - 12, -4*n + 2*b + 42 = 0. Factor -12*a**3 + 2*a**4 + n + 16*a**2 + 12*a - 11 - 17.
2*(a - 3)**2*(a - 1)*(a + 1)
Let y = 3440/3 + -24071/21. Let f(t) be the first derivative of 6/7*t**2 - 3/14*t**4 + 3/35*t**5 + 12/7*t - y*t**3 + 18. Factor f(m).
3*(m - 2)**2*(m + 1)**2/7
Find d, given that -40/3*d**4 - 2314/9*d**3 - 40000/9 - 15764/9*d**2 - 2/9*d**5 - 4800*d = 0.
-25, -4, -2
Suppose 2*g = -y - 1213, g + 828 - 227 = 5*y. Let t = -334 - g. Find a, given that -t*a**2 + 180*a**3 - 32 + 176*a - 160*a**2 + 120*a**2 = 0.
2/5, 2/3
Let c(n) = 2573*n - 43741. Let t be c(17). Solve 4/7*j**3 - 16/7*j**2 + t - 12*j = 0 for j.
-3, 0, 7
Let v(y) = -8*y**2 - 18*y - 10. Let m(g) = 9*g**2 + 19*g + 10. Let b(a) = -12*a + 1 + 5*a - 2*a**2 + 0. Let t be b(-4). Let p(d) = t*m(d) - 4*v(d). Factor p(q).
5*(q + 1)*(q + 2)
Factor 0 + 25/3*d**4 + 78*d**3 + 1/3*d**5 + 324*d**2 + 504*d.
d*(d + 6)**3*(d + 7)/3
Let b(o) be the first derivative of -o**8/420 + o**7/60 + 31*o**6/1440 + o**5/120 - 4*o**3/3 + o - 74. Let l(m) be the third derivative of b(m). Factor l(a).
-a*(a - 4)*(4*a + 1)**2/4
Let f(a) be the third derivative of 5/9*a**3 - 1/90*a**5 + 26*a**2 + 0 - 1/9*a**4 + a. Factor f(o).
-2*(o - 1)*(o + 5)/3
Let l(a) be the first derivative of a**6/270 - 29*a**5/270 + 13*a**4/108 + 14*a**3/27 - 19*a**2/2 - 2. Let q(j) be the second derivative of l(j). Factor q(h).
2*(h - 14)*(h - 1)*(2*h + 1)/9
Let v(z) be the second derivative of z**5/10 - 635*z**4/6 + 99847*z**3/3 + 305283*z**2 + 1732*z + 2. Suppose v(g) = 0. What is g?
-3, 319
Let s be 4/5 - (748/85 + -10). Solve 0 - 50/13*y + 2/13*y**5 + 20/13*y**s - 20/13*y**4 + 48/13*y**3 = 0 for y.
-1, 0, 1, 5
Let w = -148 + -27. Let k be ((-280)/w)/((-18)/(-5)). Let k - 2/9*q**2 + 2/9*q = 0. Calculate q.
-1, 2
Let s(v) be the second derivative of 3*v**5/20 + 403*v**4/4 + 39991*v**3/2 - 370881*v**2/2 + 1847*v + 1. Factor s(c).
3*(c - 3)*(c + 203)**2
Let t be ((-114)/12)/((-2)/(-4)). Let m = 23 + t. Factor -2*d**m + 6*d**2 - d**4 + 703*d**3 - 706*d**3.
-3*d**2*(d - 1)*(d + 2)
Suppose 101*w = -28*w - 126*w + 4845. Let u(v) be the first derivative of w + 4/19*v - 2/57*v**3 + 1/19*v**2. Solve u(i) = 0.
-1, 2
Let k(y) be the third derivative of -y**8/2520 + y**7/1260 + y**6/108 + y**5/60 - 67*y**3/6 + 85*y**2. Let s(o) be the first derivative of k(o). Factor s(i).
-2*i*(i - 3)*(i + 1)**2/3
Let m(p) be the third derivative of p**5/300 - 23*p**4/12 - 232*p**3/15 + 2241*p**2. Factor m(n).
(n - 232)*(n + 2)/5
Let p = 2132/425 - 11099/2975. Factor p*u + 3/7*u**4 + 12/7 - 9/7*u**3 - 15/7*u**2.
3*(u - 4)*(u - 1)*(u + 1)**2/7
What is b in 33*b**3 + 1721*b - b**3 - 41231*b**2 + 3*b**4 + b**4 - 529*b - 576 + 40579*b**2 = 0?
-18, 1, 8
Let q(j) = 4*j**3 + 15*j**2 - j + 13. Let z be q(-4). Let x be z*(-40)/12 + 4. What is f in -4/3*f + x - 2/3*f**4 + 4/3*f**3 + 0*f**2 = 0?
-1, 1
Let o(i) be the first derivative of 34/5*i**2 - 177 - 9/20*i**4 - 4/3*i**3 + 16/5*i. Suppose o(h) = 0. Calculate h.
-4, -2/9, 2
Find o such that -2960*o**2 - 52555*o + 1730491 - 230797*o - 303627*o + 154879*o - 5*o**3 + 45589 = 0.
-298, 4
Let v be (-3)/(7/301*-3). Find u, given that v*u**2 - 5*u**3 - 9*u + 39*u**2 - 88*u**2 + 4*u**3 = 0.
-3, 0
Let y(w) be the third derivative of w**8/504 + 4*w**7/315 + w**6/36 + w**5/45 - 1094*w**2. Factor y(d).
2*d**2*(d + 1)**2*(d + 2)/3
Let n(f) be the first derivative of f**7/231 - 3*f**5/110 - f**4/33 - 112*f + 98. Let v(c) be the first derivative of n(c). Solve v(u) = 0 for u.
-1, 0, 2
Let w be (-8)/(-28)*7*(-18)/(-324)*27. Factor 0 + 10/17*i - 8/17*i**2 - 2/17*i**w.
-2*i*(i - 1)*(i + 5)/17
Let l(j) = 2*j**2 + 12*j + 2. Let f(u) = -3*u**2 - 28*u - 9. Let w(s) = 2*f(s) + 5*l(s). Suppose w(c) = 0. Calculate c.
-2, 1
Let d = -1069455 - -1069457. Let 14*s**3 - 14*s + 3/4*s**d - 3 + 9/4*s**4 = 0. Calculate s.
-6, -1, -2/9, 1
Suppose 2/13*b**3 + 788/13*b**2 + 78400/13*b + 153664/13 = 0. What is b?
-196, -2
Let j(z) be the third derivative of 2*z**2 + 4*z**3 + 79/240*z**6 + 19/30*z**5 + 0 - 25*z - 49/12*z**4 - 1/60*z**7. What is o in j(o) = 0?
-2, 2/7, 1, 12
Let q(h) be the first derivative of 1083*h**4/16 + 57*h**3/2 + 27*h**2/8 - 2006. Solve q(k) = 0.
-3/19, 0
Let o(q) be the third derivative of q**6/300 - q**5/25 + 2*q**4/15 + 300*q**2. Factor o(v).
2*v*(v - 4)*(v - 2)/5
Factor -106*a - 57*a - 496 + 31 + 20*a**2 + 768*a.
5*(a + 31)*(4*a - 3)
Let j(v) = 3*v**4 - 33*v**3 - 53*v**2 + 82*v + 64. Let o(x) = -2*x**4 + 17*x**3 + 27*x**2 - 38*x - 31. Let y(m) = -3*j(m) - 7*o(m). Find g such that y(g) = 0.
-1, 1, 5
Let l(k) = -126 + k**2 + 159 - 2*k - 27*k. Let c be l(28). Solve 0*x**2 + 0 + 8/3*x**3 + 2/3*x**c + 0*x + 8/3*x**4 = 0.
-2, 0
Factor 2/5*r**3 + 166/5*r + 24 + 48/5*r**2.
2*(r + 1)*(r + 3)*(r + 20)/5
Let -27*y + 1/4*y**5 + 0 - 9*y**2 + 5/2*y**4 + 21/4*y**3 = 0. Calculate y.
-6, -3, 0, 2
Let y = -730 - -735. Let j be 2/4*-1*(-1)/y. Factor 1/10*h**3 - 1/10*h**4 + 0*h + 1/10*h**2 + 0 - j*h**5.
-h**2*(h - 1)*(h + 1)**2/10
Let m(b) = 12*b**2 + 14*b + 10. Suppose -5*i + 3 = 2*w - 34, 2*w = i + 7. Let o(k) = 4*k**2 + 4*k + 3. Let z(j) = w*m(j) - 20*o(j). Factor z(t).
-4*t*(2*t - 1)
Let w(r) be the third derivative of 1/18*r**4 + 0 + 0*r**3 + 57*r**2 + 1/45*r**5 + 0*r. Factor w(l).
4*l*(l + 1)/3
Let f(y) be the first derivative of y**4/21 - 4*y**3/7 + 16*y**2/7 + 188*y - 296. Let k(v) be the first derivative of f(v). Solve k(m) = 0 for m.
2, 4
Let f be (2 - 0)/(-2)*2807/(-7). Solve -f*n - 19 + 113*n - 17 + 5*n**2 - 82*n - 339 = 0 for n.
-1, 75
Let k = 66 + -74. Let v be (-1)/(-8) - (k - 244/(-32)). Factor 5/4*u - v + 1/4*u**3 - u**2.
(u - 2)*(u - 1)**2/4
Determine l, given that -98/3*l**2 + 116/3*l - 40/3 + l**4 + 19/3*l**3 = 0.
-10, 2/3, 1, 2
Suppose 21698 = -12*b + 21734. Let x(j) be the first derivative of 12*j + 14 + 1/9*j**b + 2*j**2. Factor x(i).
(i + 6)**2/3
Determine s so that 159*s + 510 + 7*s**2 + s**2 + 2*s**2 - 5*s**2 - 44*s = 0.
-17, -6
Let i(j) be the first derivative of 14*j**5/5 + 79*j**4/2 - 866*j**3/3 - 655*j**2 - 300*j - 7934. Find c, given that i(c) = 0.
-15, -1, -2/7, 5
Let g(u) be the first derivative of 3*u**4/22 - 376*u**3/33 + 303*u**2/11 + 244*u/11 + 1353. Determine w so that g(w) = 0.
-1/3, 2, 61
Let y(f) be the third derivative of f**5/135 - 253*f**4/54 + 500*f**3/9 - 4795*f**2. Factor y(g).
4*(g - 250)*(g - 3)/9
Let l(n) be the first derivative of -n**5/30 - n**4/9 + n**3/9 + 2*n**2/3 + 14*n + 67. Let d(k) be the first derivative of l(k). Factor d(c).
-2*(c - 1)*(c + 1)*(c + 2)/3
Let f(m) = -6*m - 13. Suppose -9 = -g - 15. Let k be f(g). Determine u so that -k*u - u**3 + 47*u + 4*u**2 - 28*u = 0.
0, 2
Suppose -9*s + 8*s - 2*a = 10, 3*a + 15 = 0. Let t(o) be the second derivative of -2*o + s + 1/4*o**4 + 0*o**2 + 3/2*o**3. Factor t(u).
3*u*(u + 3)
Find v such that -2/5*v**4 + 8/5*v**2 + 0 - 1/5*v**5 - 12/5*v + 7/5*v**3 = 0.
-3, -2, 0, 1, 2
Let t(x) be the second derivative of -x**6/15 + 53*x**5/20 - 25*x**4/12 - 13*x**3/3 - 6590*x. Factor t(b).
-b*(b - 26)*(b - 1)*(2*b + 1)
Let j(y) be the first derivative of -y**4/28 + 15*y**3/14 + 24*y**2/7 - 91*y + 293. Let r(c) be the first derivative of j(c). Factor r(t).
-3*(t - 16)*(t + 1)/7
Let r(p) be the second derivative of 64*p + 9/5*p**3 + 0 - 1/35*p**7 - 12/25*p**5 - 3/5*p**4 + 6/25*p**6 + 0*p**2. Solve r(s) = 0.
-1, 0, 1, 3
Let t(g) be the third derivative of 5*g + 1/5*g**6 - 2/105*g**7 - g**4 - 7/15*g**5 + 0 + 2*g**2 + 16/3*g**3. Let t(c) = 0. What is c?
-1, 1, 2, 4
Let g = -822/6245 - -664/1249. Find t, given that 1/5*t**5 + 12/5*t**2 - g*t**3 - 8/5*t + 0 - 3/5*t**4 = 0.
-2, 0, 1, 2
Let s be ((-57520)/71900)/(1 - (-11)/(-5)). Find a such that 0 - 2/3*a**4 + 7/3*a**3 - a - s*a**2 = 0.
-1/2, 0, 1, 3
Let f(z) = -17*z**2 + 2437*z - 249509. Let x(d) = 25*d**2 - 3656*d + 374272. Let c(j) = 16*f(j) + 11*x(j). Factor c(y).
3*(y - 204)**2
Let m(v) = 9*v**4 - 36*v**3 - 356*v**2 - 215*v - 30. Let y(b) = -18*b**4 + 73*b**3 + 711*b**2 + 432*b + 62. Let x(s) = -5*m(s) - 3*y(s). Factor x(r).
(r - 9)*(r + 4)*(3*r + 1)**2
Factor 420*n**4 - 45 - 417*n**4 - 84*n + 10*n**3 - 19*n**2 + 2*n**3 - 6*n**2 - 5*n**2.
3*(n - 3)*(n + 1)