158*f**3 + 17*f**3 + 2*f**4 - 48*f**2 - 13*f**3 - 134*f**2 - 328*f + 14*f**2.
2*f*(f - 2)*(f + 1)*(f + 82)
Let j be 9 - -3 - (-4)/36*0. Suppose 4*p - 18 = -5*g, 4 = 5*g + 3*p - j. Determine k, given that 1/5*k**5 - 2/5*k**g + 1/5*k - 2/5*k**3 + 1/5 + 1/5*k**4 = 0.
-1, 1
Let c be (3 + -1 + 2)/(7 - 7 - -2). Let r(f) be the second derivative of -14*f - 1/22*f**5 - 4/33*f**4 + 0*f**c - 4/33*f**3 - 1/165*f**6 + 0. Factor r(s).
-2*s*(s + 1)*(s + 2)**2/11
Let c = 29 + -24. Suppose 0 = -c*a - 15 + 35. Factor 0*m + 1/4*m**3 + 0 - 1/2*m**2 + 1/4*m**a.
m**2*(m - 1)*(m + 2)/4
Suppose 2*d**5 - 18*d**3 - 68*d**4 + 24*d**4 + 36*d**4 + 24*d**4 = 0. Calculate d.
-9, 0, 1
Let f(k) be the second derivative of k**6/96 + k**5/16 + 5*k**4/32 + 5*k**3/24 - 4*k**2 + 5*k. Let y(l) be the first derivative of f(l). Factor y(v).
5*(v + 1)**3/4
Factor -124*x + 85*x - 31*x**2 - 10*x**3 - 5*x**2 + 13*x**3.
3*x*(x - 13)*(x + 1)
Let m = -210 + 213. Let 0*a**5 - 12*a**2 + 10*a**m - 44*a**4 - 2*a**5 + 48*a**4 = 0. What is a?
-2, 0, 1, 3
Let g(f) be the first derivative of -f**6/2 - f**5 - f**4/2 - 19. Let h(b) = -3*b**3 - 5*b**4 + b**3 - b**4 - 4*b**5. Let p(m) = 6*g(m) - 5*h(m). Factor p(o).
2*o**3*(o - 1)*(o + 1)
Let q(r) = -r**3 + 5*r**2 - 2*r - 9. Let u be q(3). Solve 4737*o**2 - 4730*o**2 - u*o + 6*o + 5*o**3 + o**4 = 0.
-3, -1, 0
Let i(p) be the second derivative of 0 + 48/11*p**3 + 1/165*p**6 + 5/22*p**5 + 28/11*p**4 - 38*p + 0*p**2. Factor i(g).
2*g*(g + 1)*(g + 12)**2/11
Let m(o) be the first derivative of -27*o**4/16 + 255*o**3/4 + 519*o**2/8 + 87*o/4 - 549. Factor m(v).
-3*(v - 29)*(3*v + 1)**2/4
Let t = 105608/3 + -739232/21. Factor 2/7*h**3 - 2/7*h + t - 8/7*h**2.
2*(h - 4)*(h - 1)*(h + 1)/7
Solve -1387853*w**2 + 2*w**4 + 400*w**3 + 0*w**4 + 1387033*w**2 + 3*w**4 = 0.
-82, 0, 2
Let q(h) be the third derivative of 0*h + 1/385*h**7 + 0 - 1/66*h**6 - 1/66*h**4 + 0*h**3 + 60*h**2 + 3/110*h**5. Determine n, given that q(n) = 0.
0, 1/3, 1, 2
Let p(f) be the second derivative of f**4/5 + 19994*f**3/15 + 6664*f**2/5 - 9380*f. Suppose p(s) = 0. Calculate s.
-3332, -1/3
Let t(a) be the second derivative of 5*a**7/42 - 5*a**6/3 + 29*a**5/4 + 5*a**4/3 - 110*a**3 + 360*a**2 - 2*a - 1323. Let t(p) = 0. What is p?
-2, 2, 3, 4
Let i(s) be the second derivative of -73*s + 1/3*s**2 + 0 + 1/30*s**5 + 1/3*s**3 + 1/6*s**4. Find c such that i(c) = 0.
-1
Suppose 0 = 5*d - 9 + 9. Let q be (-6 - (-1 - d))*(-78)/130. Let 11*n**2 + 21*n**4 - 4*n**5 - 20*n + 15*n**q - n**5 - 31*n**4 + 9*n**2 = 0. Calculate n.
-2, 0, 1
Suppose 0*p = 2*p. Let n be -25*1*(20 + 505/(-25)). Factor 0 + 5/6*b**3 + p*b + 1/6*b**n - 2/3*b**4 - 1/3*b**2.
b**2*(b - 2)*(b - 1)**2/6
Let u be 15/((-4440)/259)*-1*(15 - 3). Factor 0 + u*i - 3/2*i**3 + 9*i**2.
-3*i*(i - 7)*(i + 1)/2
Let c(x) = 8*x**3 + 8*x**2 + 3*x. Let a = -108 - -105. Let w(r) = -15*r**3 - 15*r**2 - 5*r. Let t(d) = a*w(d) - 5*c(d). Solve t(y) = 0 for y.
-1, 0
Let t(y) = 2*y**3 + 15*y**2 + 4*y - 19. Let c be t(-7). Let r(a) be the second derivative of -4*a + 0 + 0*a**c - 5/3*a**4 - 1/4*a**5 + 0*a**3. Factor r(x).
-5*x**2*(x + 4)
Let v(j) be the first derivative of -j**6/180 + j**5/20 + 5*j**4/24 + 2*j**3/9 + 7*j - 2. Let c(i) be the first derivative of v(i). Factor c(s).
-s*(s - 8)*(s + 1)**2/6
Let x(m) be the second derivative of m**4/12 - 17*m**3 - 103*m**2/2 - 839*m. Factor x(h).
(h - 103)*(h + 1)
Let j(n) be the second derivative of n**7/14 + n**6/10 - 6*n**5/5 - 3*n**4 - 1094*n. Let j(w) = 0. What is w?
-2, 0, 3
Solve 180/7 + 33/7*z**2 - 156/7*z = 0.
2, 30/11
Let t(b) be the second derivative of b**6/20 - b**5/30 + 89*b**2/2 - 144*b. Let i(s) be the first derivative of t(s). Factor i(x).
2*x**2*(3*x - 1)
Suppose 116 + 406 = 87*a. Suppose 2*c = 4*c + 4, -2*c - 10 = -2*i. Suppose -34 + 34 - a*q - i*q**2 = 0. Calculate q.
-2, 0
Let z be 4355/182*(-2)/(-10) - ((-312)/84 - -4). Determine a so that -3/4*a**5 + 15/4*a + z*a**4 - 27/2*a**2 + 9 - 3*a**3 = 0.
-1, 1, 3, 4
Factor -37*m**2 - 7741*m**3 + 2*m**4 + 14*m**4 + 12*m**2 - 47*m**2 - 36*m + 7721*m**3.
4*m*(m - 3)*(m + 1)*(4*m + 3)
Solve 170/3*y**3 + 0 + 0*y + 38*y**2 - 1/2*y**4 = 0.
-2/3, 0, 114
Let y(i) be the third derivative of -3/16*i**4 + 1/672*i**8 + 0*i - 1/60*i**5 - 59*i**2 - 1/3*i**3 + 0 + 1/70*i**7 + 1/30*i**6. Factor y(o).
(o - 1)*(o + 1)**3*(o + 4)/2
Let n(z) be the first derivative of 2*z**3/3 + 28*z - 49. Let q(i) = 3*i**2 + i + 28. Let p(s) = -4*n(s) + 3*q(s). Suppose p(w) = 0. Calculate w.
-7, 4
Determine n, given that -74*n**3 + 77*n**4 + 96 - 6*n**5 + 559*n - 162*n**4 - 1007*n + 3*n**4 + 514*n**2 = 0.
-12, -4, 1/3, 1
Let g = 2 + 0. Let d(h) = -4*h**2 + 50*h + 34. Let w be d(13). What is o in 8 + 7*o**g + 20*o + 2*o**3 + 2*o**3 + w*o**2 + o**2 = 0?
-2, -1
Let h = -1016599 - -1016603. Factor 3*i - 3/4*i**3 + 0 - 3*i**2 + 3/4*i**h.
3*i*(i - 2)*(i - 1)*(i + 2)/4
Let f(y) be the first derivative of -4/3*y**3 + 0*y**2 + y**4 + 71 + 0*y. Factor f(w).
4*w**2*(w - 1)
Let n(z) be the second derivative of 11*z**4/3 + 148*z**3/3 - 42*z**2 + 504*z. Factor n(p).
4*(p + 7)*(11*p - 3)
Let c(z) be the second derivative of -z**6/90 - 7*z**5/30 - 8*z**4/9 + 64*z**3/9 - 310*z - 13. Factor c(y).
-y*(y - 2)*(y + 8)**2/3
Let c(b) be the second derivative of -b**4/28 - 152*b**3/7 - 34656*b**2/7 - 276*b. Factor c(w).
-3*(w + 152)**2/7
Let z(f) be the third derivative of 1/20*f**5 + 35*f**2 - 2/3*f**3 + 0*f + 1/18*f**4 + 0*f**6 - 1/630*f**7 + 0. Factor z(r).
-(r - 3)*(r - 1)*(r + 2)**2/3
Let -4/5*w**5 + 0 - 896/5*w**3 + 0*w - 784/5*w**2 - 116/5*w**4 = 0. What is w?
-14, -1, 0
Suppose 33800/3 - 4*o**3 - 502/3*o**2 + 2/3*o**4 + 520*o = 0. What is o?
-10, 13
Let m = -408611 + 408613. Let 1/2*z**4 + 6*z**3 + 11/2*z**m + 0*z + 0 = 0. Calculate z.
-11, -1, 0
Factor 23328/7 + 234/7*d**2 - 3/7*d**3 + 4941/7*d.
-3*(d - 96)*(d + 9)**2/7
Let g(f) be the first derivative of -6*f**2 + f**3 + 0*f + 3*f**4 + 69 - 3/5*f**5. Factor g(j).
-3*j*(j - 4)*(j - 1)*(j + 1)
Let y - 5*y**5 + 840*y**2 - 283*y**4 + 70*y**3 + 1180*y**3 - y + 688*y**4 = 0. What is y?
-2, -1, 0, 84
Let t(o) be the third derivative of -o**5/12 + 20*o**4/3 + 190*o**3 - 1504*o**2. Factor t(z).
-5*(z - 38)*(z + 6)
Let j(d) be the first derivative of -3*d**4/4 - 1236*d**3 - 763848*d**2 - 209803584*d + 1562. Factor j(q).
-3*(q + 412)**3
Let v(n) = -n**5 - 6*n**3 - 8*n**2 - 3*n. Let w(b) = -b**5 - 4*b**3 - 8*b**2 - 2*b. Let j(k) = 5*v(k) - 6*w(k). What is o in j(o) = 0?
-3, 0, 1
Let b(w) be the second derivative of w**4/4 - 231*w**3 + 160083*w**2/2 - w - 920. Let b(m) = 0. Calculate m.
231
Determine y, given that 52/3 + 2/3*y**4 - 134/3*y - 34/3*y**3 + 38*y**2 = 0.
1, 2, 13
Solve -40/11 - 20/11*o**3 - 6*o**2 - 2/11*o**4 - 8*o = 0 for o.
-5, -2, -1
Suppose 0*w + 2*c = w, -2*w - 3*c + 7 = 0. Suppose o = w*o - 3. Solve -3*p**o + p**3 + 15*p**4 - 4*p**3 + p**3 = 0 for p.
0, 1/3
Let q(u) be the second derivative of -u**6/15 - 26*u**5/5 - 17*u**4/2 + 2*u + 282. Suppose q(i) = 0. Calculate i.
-51, -1, 0
Suppose -48726 = -4*a + 3*o + 16176, 5*o = -2*a + 32438. Let b be a/234 - (1 - -3). Factor 56*r + b*r**2 + 12.
4*(7*r + 3)**2/3
Suppose 0 = 3*l + v - 1, 0*v + 5 = 3*l + 5*v. Let p = 108146/15 - 36047/5. Suppose l + p*u - 1/3*u**2 = 0. Calculate u.
0, 1
Suppose -188*b + 732*b - 282*b = 175*b. Factor -25/3*q**3 + 20/3*q**2 + 0*q + b + 5/3*q**4.
5*q**2*(q - 4)*(q - 1)/3
Let r = -18405 + 18405. Let b(d) be the third derivative of -27*d**2 - 1/60*d**5 + 5/6*d**3 - 1/6*d**4 + 0*d + r. Determine u so that b(u) = 0.
-5, 1
Factor 2*h - 540 + 157*h - h**2 - 46*h.
-(h - 108)*(h - 5)
Let v(g) be the third derivative of -g**7/735 - 121*g**6/210 - 15577*g**5/210 - 9438*g**4/7 - 73008*g**3/7 + 1181*g**2 - 2. Factor v(u).
-2*(u + 4)**2*(u + 117)**2/7
Factor 24/7*r**3 - 6*r + 3/7*r**4 + 15/7*r**2 + 0.
3*r*(r - 1)*(r + 2)*(r + 7)/7
Determine c, given that 243*c + 207*c - 52552*c**2 + 52437*c**2 + 5*c**3 = 0.
0, 5, 18
Factor -5/4*l**2 + 27/2 + 3/4*l.
-(l + 3)*(5*l - 18)/4
Let b = 178551/50 - 3571. Let y(w) be the third derivative of b*w**5 - 2*w**2 - 2/15*w**4 + 16/45*w**3 + 0 - 1/900*w**6 + 0*w. Find t such that y(t) = 0.
1, 4
Let w(q) be the first derivative of -9/5*q + 3/10*q**2 - 3/20*q**4 + 3/5*q**3 - 134. Factor w(l).
-3*(l - 3)*(l - 1)*(l + 1)/5
Let j(v) = -10*v + 52. Let u be j(5). F