*g*(3*g + 1)
Let o(s) be the third derivative of -s**6/90 + s**5/3 - 25*s**4/6 - 13*s**3/6 + 8*s**2. Let r(q) be the first derivative of o(q). Solve r(p) = 0 for p.
5
Factor -2*p**3 - 28*p**2 - 35*p**2 + 67*p**2 + 29*p + 35*p - 192.
-2*(p - 4)**2*(p + 6)
Let p(n) be the third derivative of 4*n**7/105 + n**6/30 - n**5/5 - n**4/6 + 2*n**3/3 - 8*n**2. Factor p(o).
4*(o - 1)*(o + 1)**2*(2*o - 1)
Let x = -101 + 103. Let o be x + (-3 - 9/(108/(-16))). Factor o*m**2 + 0 + 1/3*m.
m*(m + 1)/3
Let z = -110 - -239. Factor -3*n**2 + 3*n**3 + 0*n**5 - 3*n**5 - z*n**4 + 132*n**4.
-3*n**2*(n - 1)**2*(n + 1)
Let w(y) be the first derivative of y**8/840 + y**7/525 - y**6/300 - y**5/150 + y**2 - 6. Let i(u) be the second derivative of w(u). Factor i(g).
2*g**2*(g - 1)*(g + 1)**2/5
Let v = -28 + 36. Suppose 3*i - 5*l + 1 - 15 = 0, 2*l = 2*i - v. Factor 3/5*x**2 + 1/5*x**i + 1/5 + 3/5*x.
(x + 1)**3/5
Let x(b) = -4*b**2 + 12*b - 13. Let q(m) = 14 - m**2 + m - 13*m - m**2 + 6*m**2. Let f(l) = 5*q(l) + 6*x(l). Factor f(p).
-4*(p - 2)*(p - 1)
Suppose 9741*a - 50 = 9716*a. Factor -5/4*z**5 - 5/4*z**a - 15/4*z**4 + 0 - 15/4*z**3 + 0*z.
-5*z**2*(z + 1)**3/4
Let y be 4/(-2 + 8/2). Factor -5*q**4 + q**5 - 4*q**y - 9 + 9 + 8*q**3.
q**2*(q - 2)**2*(q - 1)
Suppose 36 = 14*h - 34. Let k(d) = -4*d**2 + 34*d - 100. Let l(s) = 4*s**2 - 35*s + 100. Let y(t) = h*k(t) + 6*l(t). Factor y(r).
4*(r - 5)**2
Let f(n) be the second derivative of -n**5/10 - 2*n**4/3 + 11*n**3/3 - 6*n**2 - n + 13. Factor f(l).
-2*(l - 1)**2*(l + 6)
Factor 0*j**2 + 2*j + 70 - 2*j**3 - 64 - 6*j**2.
-2*(j - 1)*(j + 1)*(j + 3)
Suppose -15 = v - 4*v, 2*j - 5*v + 23 = 0. Let z be 5 + -3 + j + 3. Factor 3*n**2 - z*n**2 + 10*n**3 - n**2.
2*n**2*(5*n - 2)
Let n = 70 + -65. Let s = n + -5. Let 4/9*h**3 + s + 2/9*h**4 - 2/9*h**2 - 4/9*h = 0. Calculate h.
-2, -1, 0, 1
Let a = 28 - 18. Let g = -8 + a. Solve 3*j**2 - g*j - j - 3*j**3 + 3*j = 0 for j.
0, 1
Let m(r) be the first derivative of -3*r**5/5 + 7*r**4/4 - 2*r**2 + 101. Factor m(h).
-h*(h - 2)*(h - 1)*(3*h + 2)
Let a(d) = 3*d - 11. Let p(f) = f - 5. Let v(z) = 2*a(z) - 5*p(z). Let q be v(-3). Factor q + 9*y**2 + 3 + 0*y**3 - 3*y**3 - y - 8*y.
-3*(y - 1)**3
Let o(f) = 6*f - 6. Suppose -2*t + 32 = -10*t. Let n(h) = h**2 + 5*h - 6. Let y(p) = t*n(p) + 6*o(p). Solve y(u) = 0.
1, 3
Suppose -3*f + 2*n = 1021, -f + 2*f + 342 = n. Let z = f + 339. Let 0 + 4/3*j + 2*j**z + 2/3*j**3 = 0. What is j?
-2, -1, 0
Let b(i) be the second derivative of -7*i**5/30 - i**4/18 + 20*i**3/9 - 4*i**2 + 415*i. What is u in b(u) = 0?
-2, 6/7, 1
Let r = 10954 - 10951. Factor 2*m + 2/3*m**r - 8/3*m**2 + 0.
2*m*(m - 3)*(m - 1)/3
Suppose 0 = -2*n - 6, -5*b = -5*n + 7 + 8. Let k = b - -8. Let -9*q**3 - 2*q - 3*q**k + 2*q**2 + 10*q**3 = 0. Calculate q.
-1, 0, 2
Suppose 2*u - 24 = -0*u. Suppose -5*b + u - 2 = 0. Suppose -3*x**b - x**3 + x**4 + 2*x**2 - 2*x + 3*x**3 = 0. Calculate x.
-2, -1, 0, 1
Let i be 24/(-15) - (-1 - 1). Let x be 22/(-7) - -4 - (-69)/(-105). Factor 1/5 - i*z + x*z**2.
(z - 1)**2/5
Let a(d) be the third derivative of -d**6/120 - d**5/80 - 3*d**3/2 - 13*d**2. Let g(x) be the first derivative of a(x). Factor g(j).
-3*j*(2*j + 1)/2
Factor 1799 + 1780 - 3509 - 145*r + 80*r**2 - 5*r**3.
-5*(r - 14)*(r - 1)**2
Suppose -702*f**2 - 2197/2 - 1521*f - 108*f**3 = 0. What is f?
-13/6
Let u = 11392/13307 + 2/1901. Suppose -4*s + 20 = n, 5*n + 0*s = -3*s + 15. Solve 0 + 3*z**4 + n*z + 15/7*z**3 - u*z**2 = 0.
-1, 0, 2/7
Let j = 18 + -10. Let h be (j/(-30))/((-14)/35). Factor h*o**2 + 6 + 4*o.
2*(o + 3)**2/3
Suppose 5*h - 5 = 2*k - 21, -3*h - 18 = 3*k. Let l be ((-18)/12)/(1/k). Factor -c + c**2 + 6 - 5 + l*c.
(c + 1)**2
Let n be (-170)/(-136)*((-2)/(-5))/1. Suppose -p + 0*p + 3 = 0. Determine s, given that s**2 - 1 - 1/2*s + n*s**p = 0.
-2, -1, 1
Find g such that 484 + 60*g - 2*g**2 + 485 - 969 - 2*g**2 = 0.
0, 15
Let h(v) be the third derivative of v**7/315 + 19*v**6/180 + 7*v**5/5 + 9*v**4 + 24*v**3 + 11*v**2 + 6*v. Let h(n) = 0. What is n?
-6, -1
Let g be ((-32)/(-4))/8*(0 - -2). Let 2 - 50*j**4 + 60*j**3 + 23*j**2 - 41*j**2 - g = 0. Calculate j.
0, 3/5
Let d = 105 + -75. Factor -8 - 7 - s**4 + 40*s + 4*s**4 - d*s**2 + 2*s**4.
5*(s - 1)**3*(s + 3)
Let z(d) = 9*d**4 - 9*d**2 - 17. Let p(o) be the first derivative of -o**5/5 + o**3/3 + 2*o - 31. Let r(q) = -51*p(q) - 6*z(q). Find l, given that r(l) = 0.
-1, 0, 1
Solve 2/9*y**2 - 16/9 - 14/9*y = 0.
-1, 8
Let o(j) be the second derivative of 3/4*j**3 + 3/40*j**5 + j + 0*j**2 + 5/8*j**4 + 0 - 1/20*j**6. Find m such that o(m) = 0.
-1, 0, 3
Let n(k) be the first derivative of k**6/27 - 11*k**4/9 - 16*k**3/9 + 5*k**2 + 346. Determine g so that n(g) = 0.
-3, 0, 1, 5
Factor 101*c**2 + 26 - 53 - 5*c**4 - 246*c**2 - 63 - 45*c**3 - 195*c.
-5*(c + 1)*(c + 2)*(c + 3)**2
Determine n, given that 1/2*n**3 - 2*n + 1/4*n**4 - n**2 + 0 = 0.
-2, 0, 2
Let c(k) = -3*k**2 - 72*k - 132. Let g be c(-22). Factor 0*y**2 + 0*y + 10/3*y**5 + 2*y**4 - 4/3*y**3 + g.
2*y**3*(y + 1)*(5*y - 2)/3
Let l(v) be the first derivative of -2*v**3/21 + 12*v**2 - 504*v - 123. Let l(c) = 0. Calculate c.
42
Let g = -274 + -108. Let s = 5732/15 + g. Let 2/15*b**2 - 4/15 + s*b = 0. What is b?
-2, 1
Let l(x) be the second derivative of -x**5/8 - 13*x**4/12 - 5*x**3/12 - 233*x. Factor l(u).
-u*(u + 5)*(5*u + 1)/2
Let f be -2 + 4 - ((-14960)/391)/(-20). Solve 2/23*t + 0 - f*t**3 + 0*t**2 = 0.
-1, 0, 1
Suppose 15 = 3*h - 0*h. Factor -a**3 - 2*a**h + 3*a**3 + 0*a**3.
-2*a**3*(a - 1)*(a + 1)
Let d(r) = -46*r**4 + 69*r**3 + 21*r**2 - 5*r - 5. Let q(y) = -48*y**4 + 70*y**3 + 22*y**2 - 6*y - 6. Let u(j) = 6*d(j) - 5*q(j). Factor u(i).
-4*i**2*(i - 2)*(9*i + 2)
Find d such that 5*d + 79/4*d**3 + 91/4*d**4 - 99/2*d**2 + 2 = 0.
-2, -2/13, 2/7, 1
Suppose -2*g + 15*g - g = 0. Let x be 2/8*(84/35 - g). What is h in 1/5*h**3 + x*h + 3/5*h**2 + 1/5 = 0?
-1
Find q, given that -30*q**3 - 142*q - 135*q + 150*q**2 + 0*q**4 + 3*q**4 - q**4 + 27*q = 0.
0, 5
Factor -20/3*q + 0 + 2/3*q**3 + 6*q**2.
2*q*(q - 1)*(q + 10)/3
Solve -2/9*y**2 - 988/9*y - 122018/9 = 0.
-247
Factor 0*t - 1/4*t**5 + 20*t**3 - 21*t**2 + 0 - 17/4*t**4.
-t**2*(t - 2)**2*(t + 21)/4
Suppose -57*x + 72 = -18*x - 84. Factor 2/5*m**x + 216/5*m**2 - 36/5*m**3 - 432/5*m + 0.
2*m*(m - 6)**3/5
Let l(m) be the first derivative of -m**3 - 23*m**2/2 - 14*m + 240. Factor l(o).
-(o + 7)*(3*o + 2)
Let r be ((-108)/(-15) - 6)/(3/10). Factor -6/5*f**3 + 4/5*f**2 - 14/5*f**5 + 0*f - 24/5*f**r + 0.
-2*f**2*(f + 1)**2*(7*f - 2)/5
Factor 60*i - 123/2 + 3/2*i**2.
3*(i - 1)*(i + 41)/2
Let s(u) be the first derivative of u**6/6 + 9*u**5/25 + 3*u**4/20 - u**3/15 - 114. Factor s(d).
d**2*(d + 1)**2*(5*d - 1)/5
Let w(o) be the second derivative of 0 - 14*o + 0*o**3 - 1/5*o**2 + 1/30*o**4. Solve w(m) = 0.
-1, 1
Suppose 120 = -139*n - 19*n + 752. Suppose -a + 0*s + 2 = 2*s, -1 = -a - s. Solve -4/3*j**2 + n*j + a = 0 for j.
0, 3
Let a(m) = 4*m**2 - 7 - 18 + 4 - 16*m**2 - 33*m. Let r(i) = -3*i**2 - 8*i - 5. Suppose 5*n - 27 = 18. Let d(u) = n*r(u) - 2*a(u). Factor d(v).
-3*(v + 1)**2
Let j be ((-2)/6)/(80/(-288)). Solve -1/5*x**3 + j*x**2 + 4/5 - 9/5*x = 0 for x.
1, 4
Let j = 5 - -1. Let z be 57/9 + (-1)/3. What is n in 2*n + j*n - 9*n**2 + z - 11*n = 0?
-1, 2/3
Let s(b) = 10*b + 1. Let f be s(1). Suppose f*x - 2*x = 0. Suppose x + 2/7*k**2 - 2/7*k = 0. Calculate k.
0, 1
Let w(d) = -12*d**3 + 20*d**2 + 16*d - 12. Suppose -4*f - 7 = 3*f. Let u(b) = b**4 + b + 1. Let x(l) = f*w(l) + 4*u(l). Solve x(n) = 0.
-4, -1, 1
Let w(i) be the third derivative of -i**7/1155 - i**6/33 - 19*i**5/330 + 482*i**2. Factor w(q).
-2*q**2*(q + 1)*(q + 19)/11
Let w(n) = 11*n**3 + 172*n**2 + 1105*n - 2890. Let i(u) = 10*u**3 + 170*u**2 + 1105*u - 2890. Let k(s) = -6*i(s) + 5*w(s). Solve k(h) = 0.
-17, 2
Suppose 1/2*h**3 - 23/2*h - 21 + 10*h**2 = 0. Calculate h.
-21, -1, 2
Factor -282*z**2 - 10080*z - 4725 - 2*z**3 - 8139 + 3064.
-2*(z + 1)*(z + 70)**2
Let n = -57 + 84. Solve 5*s**2 - 7*s**4 - 10*s**3 - 11*s**4 + n*s**4 - 4*s**4 = 0 for s.
0, 1
Let t be (-10)/(-6) - (-11)/33. Factor t*b + b**2 - 2 + 2.
b*(b + 2)
Let s(b) be the first derivative of b**6/9 - 17*b**5/5 + 403*b**4/12 - 1003*b**3/9 + 297*b**2/2 - 242*b/3 - 465. Suppose s(k) = 0. What is k?
1/2, 1, 2, 11
Let b(d) be the third deri