= 4*k. Let s = k - -4129/9. Factor s*d - 8/3 - 2/9*d**2.
-2*(d - 6)*(d - 2)/9
Let j(x) be the first derivative of x**3/6 - 5*x**2/2 - 352*x + 4230. Factor j(w).
(w - 32)*(w + 22)/2
Let h be 2/(-21) - (-1690)/546. Let j(q) be the second derivative of 1/14*q**7 + 23*q + 1/2*q**6 + 0*q**2 + 0 + 7/4*q**4 + 27/20*q**5 + q**h. Factor j(p).
3*p*(p + 1)**3*(p + 2)
Let n(u) be the third derivative of -13*u**7/120 - 101*u**6/120 - 41*u**5/60 - u**4/6 + 2*u**2 + 3*u - 36. What is m in n(m) = 0?
-4, -2/7, -2/13, 0
Suppose 70*y = -68*y - 6 + 6. Let q(k) be the second derivative of 1/12*k**4 - 1/20*k**5 + y + 1/42*k**7 - 1/30*k**6 + 0*k**2 + 0*k**3 - 12*k. Factor q(d).
d**2*(d - 1)**2*(d + 1)
Let v(a) be the second derivative of 5/18*a**3 + 5 + 1/20*a**5 + a + 7/36*a**4 + 1/6*a**2. Solve v(k) = 0 for k.
-1, -1/3
Suppose -70 - 14 = -6*f. Let r be (f/(-10))/((-87)/145). Factor -8/3*k + 1/3*k**2 + r.
(k - 7)*(k - 1)/3
Let g(t) = -t - 1. Let k(f) = 7*f**2 - 12*f - 13. Let j(n) = -3*g(n) + k(n). Let u(s) = 19*s**2 - 26*s - 29. Let y(o) = -8*j(o) + 3*u(o). Factor y(x).
(x - 7)*(x + 1)
Suppose -2*g = -29*t + 32*t - 16, 3*g - 15 = 0. Factor -36/7*r - 4/7*r**t + 40/7.
-4*(r - 1)*(r + 10)/7
Let s be 15/6*(-12)/(-10). Suppose 2*p - 6*p + 2 = -z, s*z - 11 = -5*p. Find g such that -g**3 + 3*g**3 + 2*g**2 - 2 - 4*g**3 + z*g = 0.
-1, 1
Let m be 575 + (-4)/((-8)/2). Suppose 0*n = -2*n + m. Factor 137*g**2 + 142*g**2 + 4 - 16*g - n*g**2.
-(g + 2)*(9*g - 2)
Suppose 0 = 3*t + 4*m - 31, 24*m - 25*m + 4 = 0. Find r, given that -3 + 3*r + 1189*r**4 - 1186*r**4 - r**3 + 3*r - t*r**3 = 0.
-1, 1
Let c(d) be the second derivative of -d**3/6 + 4*d**2 - 4*d. Let t be c(4). Factor -3*b**3 + 2*b - b**4 - 7*b**2 + b**3 + 8*b**t.
b*(b - 1)*(b + 1)*(7*b - 2)
Factor -2/19*w**3 + 1692/19*w**2 - 3378/19*w + 1688/19.
-2*(w - 844)*(w - 1)**2/19
Suppose 11*y - 2*y = 27. Suppose 1 - 6*t**2 + 8*t**y + 0*t**4 + 0*t**2 + 0*t**2 - 3*t**4 = 0. Calculate t.
-1/3, 1
Factor 93*f**3 + 60*f**4 - 68*f + 6*f**2 - 68*f - 66 - 24*f**3 + 7*f + 63*f**3 - 3*f**5.
-3*(f - 22)*(f - 1)*(f + 1)**3
Let u(w) be the third derivative of w**6/60 - 7*w**5/10 - 35*w**4/6 - 16*w**3 + 1209*w**2. Determine r, given that u(r) = 0.
-2, -1, 24
Let o(c) = 4*c**3 - 128*c - 8. Let u(w) = 2*w + 0*w + 21 + 25 - 47. Let m(t) = o(t) - 8*u(t). Determine b, given that m(b) = 0.
-6, 0, 6
Let d be (2 - -3)*-2*(-1)/1. Let c be (-325)/39*(-3)/d. Solve 0*s**2 - 5/4 + 5/2*s**3 + 5/4*s**4 - c*s = 0.
-1, 1
Suppose 12 = -25*z + 26*z - 3*f, 9 = -3*f. Let w(r) be the second derivative of 35/48*r**4 + 0 - z*r - 15/8*r**3 + 5/4*r**2. Solve w(j) = 0.
2/7, 1
Let r(m) be the third derivative of -m**8/336 - m**7/35 - 11*m**6/120 - m**5/30 + m**4/2 + 4*m**3/3 + 87*m**2 - 6. Solve r(i) = 0 for i.
-2, -1, 1
Let n = -966/5 - -3869/20. Let c(h) be the first derivative of -1/4*h + 9 - n*h**3 - 3/8*h**2 - 1/16*h**4. Factor c(j).
-(j + 1)**3/4
Let b(f) be the third derivative of 2*f**7/105 - f**6/6 - 2*f**5/15 + 4*f**4 - f**2 + 3551*f. Find u, given that b(u) = 0.
-2, 0, 3, 4
Suppose -95*s = -102*s + 84. Suppose 32*v - 116 - s = 0. Factor 0 - 1/4*m**5 + 1/4*m**2 + 3/4*m**v - 3/4*m**3 + 0*m.
-m**2*(m - 1)**3/4
Factor 3*y**3 - 243*y**2 - 65 + 19 + 100*y**2 - 1826 + 1884*y - 337*y**2.
3*(y - 156)*(y - 2)**2
Let i(h) be the second derivative of -h**5/10 - 163*h**4/30 + 416*h**3/15 - 28*h**2 + 5*h + 31. Solve i(v) = 0.
-35, 2/5, 2
Let d(l) be the first derivative of -6*l**5/25 + 299*l**4/10 - 132*l**3/5 + 8841. Determine c, given that d(c) = 0.
0, 2/3, 99
Let m be 1/3 + (-3451)/(-348) + 49 + -58. Factor 2*q**2 - 25/2 - 1/4*q**3 - m*q.
-(q - 5)**2*(q + 2)/4
Let 4802/5 + 0*p + 2/5*p**4 + 0*p**3 - 196/5*p**2 = 0. What is p?
-7, 7
Suppose 6*t - 8 = 2*t. Let l = -19409/240 - -20689/240. Factor l*g**3 + 32/3*g**4 - 6*g - 10*g**t + 0.
2*g*(g - 1)*(4*g + 3)**2/3
Let r(w) be the second derivative of w**7/630 + 13*w**6/180 + 2*w**5/5 + 7*w**4/12 + 61*w. Let y(x) be the third derivative of r(x). What is b in y(b) = 0?
-12, -1
Suppose -17 + 2 = -5*c. Let a = -651855/7 + 93123. Solve -2/7*z**c + 0 + 8/7*z**2 - a*z = 0 for z.
0, 1, 3
Let 1685*l - 1/2*l**2 - 2839225/2 = 0. What is l?
1685
Let m(t) be the first derivative of -t**4/6 - 7*t**3/3 + 8*t**2 + 111*t + 187. Let s(u) be the first derivative of m(u). Factor s(a).
-2*(a - 1)*(a + 8)
Let k(s) be the first derivative of -2*s**3/9 + 166*s**2/3 + 785. Let k(o) = 0. Calculate o.
0, 166
Let c(i) = 1112*i - 233518. Let z be c(210). Factor -24/5*o - 1/5*o**z + 5.
-(o - 1)*(o + 25)/5
Determine y, given that 98/9*y**4 - 832/9*y + 728/9*y**3 + 376/3*y**2 + 128/9 = 0.
-4, 2/7
Let q = 5629/1660 - 993/332. Determine o so that -338/5 - q*o**2 - 52/5*o = 0.
-13
Let c be (-8 - (13 - 19 - 39/21))/(15/(-140)). Determine s, given that c*s**2 + 0 - 1/6*s**3 + 3/2*s = 0.
-1, 0, 9
Let r be ((-4)/(-14))/(78/(-91) + 1). Factor -r*q**2 - 9*q + q + 4*q + 6.
-2*(q - 1)*(q + 3)
Let m be (-18)/(-10) + 0 - (-8892)/(-2964) - -9. Factor -m*r**2 - 111/5*r + 18/5.
-3*(r + 3)*(13*r - 2)/5
Let r(d) be the second derivative of -4*d**6/15 + 378*d**5/5 + 253*d**4/2 + 190*d**3/3 - 2004*d. Solve r(a) = 0.
-1/2, 0, 190
Let d(n) = n**3 + 4*n**2 - 19*n - 26. Let x(l) = l**3 + 4*l**2 - 21*l - 27. Let j(w) = 9*d(w) - 8*x(w). Let j(y) = 0. Calculate y.
-3, 2
Factor c**4 - 109*c**3 - 1125*c + 22*c**4 - 705*c**2 + 14*c**3 - 12*c**4 - 6*c**4.
5*c*(c - 25)*(c + 3)**2
Let k(n) be the third derivative of n**5/105 - n**4/7 - 90*n**3/7 - 723*n**2. Let k(p) = 0. What is p?
-9, 15
Let c(l) = -4 + 136*l**3 + 4*l**2 + 1 - 137*l**3. Let x be c(3). Factor z**2 - 2*z + 9*z + 3*z - x*z**2.
-5*z*(z - 2)
Let u = 1850 - 1850. Suppose -4*n - 4*t - 4 = 0, u = 3*n - t + 5*t + 8. Let -27*x - 15/2*x**n + 0 - 3/4*x**5 - 111/4*x**3 - 45*x**2 = 0. Calculate x.
-3, -2, 0
Let k(f) = 154*f**3 + 323*f**2 + 27*f + 2. Let p(t) = t**3 + 2*t**2 + 3*t - 2. Let x(g) = -k(g) - p(g). Factor x(i).
-5*i*(i + 2)*(31*i + 3)
Let t(n) be the first derivative of n**8/2184 + n**7/1365 - n**6/780 - n**5/390 - 35*n**2/2 - 36. Let a(w) be the second derivative of t(w). Factor a(o).
2*o**2*(o - 1)*(o + 1)**2/13
Let h(d) = -6*d**3 + 8*d**2 + 2*d - 12. Let m(f) = -6*f - 5*f**3 + 7*f + 4*f**3. Let t(y) = h(y) - 4*m(y). Factor t(u).
-2*(u - 3)*(u - 2)*(u + 1)
Let n(g) = g**3 - 6*g**2 + 7. Let t(r) be the first derivative of 0*r**2 - 5/3*r**3 + 10 + 1/4*r**4 + 6*r. Let u(v) = -2*n(v) + 3*t(v). Factor u(y).
(y - 2)**2*(y + 1)
Let z = 83614/104555 - -6/20911. Suppose z + 1/5*p**3 + 9/5*p + 6/5*p**2 = 0. Calculate p.
-4, -1
Let z = 18 - 14. Suppose -3*q + 4*d + 5 = 0, -3*q + 11 = z*d - 2*d. Solve 4*t**2 - 16 - 19*t - 2*t**q + 0*t**3 + 27*t = 0 for t.
-2, 2
Suppose 2*a - 3*b + 60 - 39 = 0, 21 = -a + 3*b. Let q(r) be the second derivative of 1/90*r**4 + 0 - 26*r + a*r**2 - 4/45*r**3. Factor q(x).
2*x*(x - 4)/15
Let f = -154 - -156. Solve 11*w**2 - 2*w - 6 + f - 9*w**2 = 0 for w.
-1, 2
Suppose -44*o + 57*o - 351 = 0. Let r be 9/(o/6) - 66/36. Factor 0 + 0*d + 1/2*d**2 + r*d**3.
d**2*(d + 3)/6
Let r be 20/(-35) - 904/(-112). Determine t, given that r + 3/4*t**2 - 33/4*t = 0.
1, 10
Let k(h) be the second derivative of 0*h**2 + 5/42*h**4 - 2/105*h**5 - 1/630*h**6 + 2*h + 0 - 9/2*h**3. Let w(m) be the second derivative of k(m). Factor w(f).
-4*(f - 1)*(f + 5)/7
Suppose 75 = -c - 4*x, 0 = -2*c + 3*x + 15 - 154. Let b be c + 77 + 4/1. Factor b*i**2 - 8*i + 8/5.
2*(5*i - 2)**2/5
Suppose -m + 272 = 15*m. Factor 92*p + m*p**2 + 0*p**2 - 113*p + 3 + p**2.
3*(p - 1)*(6*p - 1)
Let r(z) be the first derivative of z**4/16 + 31*z**3/12 - 22*z**2 + 36*z - 3919. Factor r(n).
(n - 4)*(n - 1)*(n + 36)/4
Let h(g) = 13*g**2 + g**3 - g + 7*g**2 + 4*g**3 - 3*g**3 - 7. Let z be h(-10). Let -z*m**2 - 9*m + 23*m - 2 - 9*m = 0. Calculate m.
2/3, 1
Let j(g) = -5*g**2 + 2*g - 5. Let n(u) = 42*u**2 - 14*u + 40. Suppose 1560*v + 51 = 1559*v. Let k(h) = v*j(h) - 6*n(h). Determine l, given that k(l) = 0.
1, 5
Factor -1/5*j**5 + 51/5*j**4 + 27216/5*j + 2376/5*j**2 - 11664 - 160*j**3.
-(j - 18)**3*(j - 2)*(j + 5)/5
Find i such that 26/9 - 74/3*i**3 + 20/9*i**4 - 70/3*i - 478/9*i**2 = 0.
-1, 1/10, 13
Let p = 54 + -57. Let n(m) = m**3 + m**2 - 10*m - 10. Let x be n(p). Let 40*j**x - 8*j**5 + 36*j**3 - 7*j**5 + 24*j**3 - 14*j**4 + 4*j**4 = 0. What is j?
-2, -2/3, 0, 