3*q**3 + 0*q**2 + 0 + 2/13*q**4 + 0*q.
2*q**3*(q + 16)/13
Let f(t) be the second derivative of 0*t**4 + 0 + 1/5*t**5 + 0*t**3 - 11*t + 0*t**2. Factor f(m).
4*m**3
Let z(i) = i**5 + i**4 - i**3 - i**2 + 1. Let n(a) = -10*a**5 + 20*a**4 + 10*a**3 - 20*a**2 - 5. Let s(u) = n(u) + 5*z(u). Solve s(t) = 0 for t.
-1, 0, 1, 5
Let c(u) = u**3 - 10*u**2 - 11*u - 15. Let w be c(11). Let i = w + 19. Factor 1/2*m**i + 0*m - 1/4*m**3 - 1/4*m**5 + 0 + 0*m**2.
-m**3*(m - 1)**2/4
Solve 20/3 - 8*c**3 - 4/3*c**4 + 8*c - 16/3*c**2 = 0 for c.
-5, -1, 1
Let u(h) be the second derivative of 0 + 32/9*h**3 + 0*h**2 - 38/9*h**4 + 24*h - 1/3*h**5. Determine m, given that u(m) = 0.
-8, 0, 2/5
Let m(f) be the second derivative of -1/3*f**3 + 1/10*f**5 + 5/24*f**4 + 0 - 5/4*f**2 - 8*f. What is z in m(z) = 0?
-5/4, -1, 1
Let j(d) be the first derivative of d**3/15 + 3*d**2/5 + 8*d/5 - 63. Factor j(s).
(s + 2)*(s + 4)/5
Suppose 10 - 22 = -w - 5*w. Find f such that 21/4*f - 9/4*f**w - 3/2 = 0.
1/3, 2
Let w(r) be the first derivative of r**6/30 - 8*r**5/25 - 11*r**4/20 + 6*r**3/5 + 88. Determine x so that w(x) = 0.
-2, 0, 1, 9
Let t(w) be the third derivative of -w**6/360 + w**5/60 - 19*w**3/6 - 18*w**2. Let o(y) be the first derivative of t(y). Suppose o(z) = 0. What is z?
0, 2
Suppose -z - 1 = u - 0*u, -5*z = 20. Factor 1/8*j + 5/8*j**2 + 0 + 1/2*j**u.
j*(j + 1)*(4*j + 1)/8
Let i(x) = 10*x - 57. Let w be i(6). Factor 290*c + 5*c**w - 290*c - 5*c**5.
-5*c**3*(c - 1)*(c + 1)
Let g(c) = -c + 18. Let m be g(7). Suppose 4*s - 5 - m = 0. Factor 2/9*r**2 + 2/3*r**s - 2/3*r**3 + 0 + 0*r - 2/9*r**5.
-2*r**2*(r - 1)**3/9
Let h(o) be the third derivative of -o**9/3024 + o**8/336 - o**7/120 + o**6/120 + 17*o**3/6 + 7*o**2. Let l(z) be the first derivative of h(z). Factor l(y).
-y**2*(y - 3)*(y - 1)**2
Factor -2/11*q**2 + 146/11*q - 144/11.
-2*(q - 72)*(q - 1)/11
Let h(a) be the third derivative of a**6/240 + 13*a**2 - 4. Factor h(w).
w**3/2
Let m(t) be the third derivative of -1/40*t**6 - 16*t**2 + 0 + 4*t**3 - 3/2*t**4 + 3/10*t**5 + 0*t. Let m(q) = 0. Calculate q.
2
Let j = 8775 - 26324/3. Factor -1/3*m - j*m**2 + 0.
-m*(m + 1)/3
Let i(y) be the third derivative of -7/480*y**5 + 6 + 1/12*y**3 - 3*y**2 - 1/16*y**4 + 0*y. Find r such that i(r) = 0.
-2, 2/7
Suppose 0 = 2*d - 8, 3*c = 2*d - 3 + 7. Factor 107 + 5*x**2 - c*x**2 - 143 + 3*x**2.
4*(x - 3)*(x + 3)
Let i(v) = 21*v**2 + 12*v - 9. Let a(j) = -5*j**2 - 3*j + 2. Let n be -5 + 9 - (1 - -1). Let d(f) = n*i(f) + 9*a(f). Factor d(q).
-3*q*(q + 1)
Suppose -35 = -5*b + 7*k - 2*k, -k = 2*b - 2. Factor -3*j + 6*j**3 + 3 + 4*j**b - 3*j**2 - 7*j**3.
3*(j - 1)**2*(j + 1)
Let v(x) = -x**2 - 4*x - 1. Let s(l) = 10*l + 7. Let z(d) = s(d) + 4*v(d). Let h(p) = 0 + 0*p - 5*p + 2 - 3*p**2. Let a(u) = 5*h(u) - 4*z(u). Factor a(i).
(i - 2)*(i + 1)
Find z, given that 0 + 1/8*z**2 + 1/8*z**5 + 3/8*z**4 + 0*z + 3/8*z**3 = 0.
-1, 0
Let y be 7/2 - (44/8 + -6). Let g(i) be the second derivative of 1/6*i**y - 2*i + 0*i**2 + 0 - 1/3*i**3. Determine a so that g(a) = 0.
0, 1
Let a = -34 - -54. Factor 2*k**5 - 14*k - 13*k**2 + 2*k**2 - 5*k**2 - 4 + a*k**4 - 16*k**4 - 4*k**3.
2*(k - 2)*(k + 1)**4
Let y(z) = -z**3 + 2*z**2 - z + 2. Let k be y(2). Let n(f) be the third derivative of k*f**5 + 0*f + 2*f**2 + 0 + 0*f**3 - 1/120*f**6 + 1/24*f**4. Factor n(a).
-a*(a - 1)*(a + 1)
Let b(r) be the second derivative of -r**5/20 + 2*r**4/3 + 31*r**3/6 + 11*r**2 + 88*r. Let b(c) = 0. Calculate c.
-2, -1, 11
Let l = 62 + -55. Factor -15*y + l*y**2 - y**3 - 22 - 11 + 42 + 0*y**3.
-(y - 3)**2*(y - 1)
Let a be (0/(-77))/((-10)/7 + (-36)/63). Let x = -6 + 8. Solve 0 + a*f + 0*f**x + 1/2*f**4 + 1/2*f**3 = 0 for f.
-1, 0
Let n(j) be the third derivative of -j**5/330 - 5*j**4/132 + 6*j**2 + 8*j. Factor n(h).
-2*h*(h + 5)/11
Let l(y) = -8*y - 122. Let g be l(-13). Let q be 0/4 - 4/g. Determine s so that -4/3*s**2 + q*s**3 + 0 + 2*s = 0.
0, 3
Let w be (88/(-924))/((-70)/(-15) - 5). Let -w*r + 12/7 - 8/7*r**2 - 2/7*r**3 = 0. What is r?
-3, -2, 1
Let a(o) be the third derivative of -o**5/15 - 7*o**4/15 + 2*o**3/5 - 126*o**2. Find p such that a(p) = 0.
-3, 1/5
Factor 2/7*i - 38/7 - 2/7*i**3 + 38/7*i**2.
-2*(i - 19)*(i - 1)*(i + 1)/7
Let h(n) = n**2 + 5*n + 9. Let x(y) = -5*y + 2 - 3 + 6*y. Let w(p) = -h(p) - x(p). Factor w(u).
-(u + 2)*(u + 4)
Suppose 0*t + 5*r = 4*t - 81, 0 = 4*t - r - 61. Suppose t*f**2 + 16*f**4 - 17*f**4 + 30*f**3 + 2*f + 19*f**4 = 0. What is f?
-1, -1/3, 0
Let x(b) = b - 5. Let p be x(5). Let v be (-6)/4 - ((-25)/6 + p). Factor -2/3*m**3 + 10/3*m**2 + v - 16/3*m.
-2*(m - 2)**2*(m - 1)/3
Let q(u) be the first derivative of -3*u**4/32 - 3*u**3/4 + 45*u**2/16 + 75*u/2 - 309. Factor q(n).
-3*(n - 4)*(n + 5)**2/8
Suppose c = -5*j + 8, -j - 4*c + 1 = 7. Determine n so that -j*n**2 - n**2 + 34*n + 29*n - 78*n = 0.
-5, 0
Let q(p) = -p**3 + 10*p**2 + 12*p - 4. Let m be q(11). Let y be ((-3)/(-1))/(-3)*-14. Factor 1 + 3 - m*n**2 + 24*n**3 - n**2 - y*n - 6*n**2.
2*(n - 1)*(3*n + 2)*(4*n - 1)
Factor 3/5*k**2 + 0 + 4/5*k**3 + 1/5*k**4 + 0*k.
k**2*(k + 1)*(k + 3)/5
Let q be 3/((15/(-150))/((-2)/15)). Find w, given that 2/5*w**2 + 0 + q*w**5 - 24/5*w**3 - 2/5*w**4 + 4/5*w = 0.
-1, -2/5, 0, 1/2, 1
Determine u so that 32*u**2 - 100/3 - 70*u - 10/3*u**3 = 0.
-2/5, 5
Let d(q) be the first derivative of q**8/840 - q**7/84 + 7*q**6/180 - q**5/20 + 10*q**3/3 + 4. Let c(a) be the third derivative of d(a). Factor c(h).
2*h*(h - 3)*(h - 1)**2
Let p(x) be the third derivative of -x**8/84 + 2*x**7/35 + 2*x**2 + 108. Suppose p(i) = 0. What is i?
0, 3
Suppose 20 = -4*q, 1 + 13 = -3*f - 4*q. Factor -5*s**4 - 6*s + 4*s - 9*s**3 + 0*s - 3*s**f - s**5 - 4*s**2.
-s*(s + 1)**3*(s + 2)
Let q(b) be the third derivative of b**6/360 - b**5/120 - 17*b**3/6 - b**2. Let t(m) be the first derivative of q(m). Factor t(x).
x*(x - 1)
Let k = 18049 - 18049. Determine b, given that -7/3*b**2 + k - 5/3*b**3 - 1/3*b**4 - b = 0.
-3, -1, 0
Let q be -1 + 0 + 2 + 12. Suppose 0 = -11*k + q*k - 4. Find i such that -31*i**4 - 8*i**2 + 2*i + i**2 - 27*i**3 - 11*i**5 + 2*i**k = 0.
-1, 0, 2/11
Let u(c) be the second derivative of 1/50*c**5 + 0*c**2 - 1/15*c**4 + 0 + 1/75*c**6 - 40*c + 0*c**3. Determine j, given that u(j) = 0.
-2, 0, 1
Let t = 49 - 46. Let r(s) be the second derivative of 2/3*s**t + 4*s**2 - 1/3*s**4 - 9*s + 0. Let r(z) = 0. Calculate z.
-1, 2
Suppose 75 = -2*v + 799. Let f = 2538/7 - v. Factor f*g + 0 + 4/7*g**3 - 8/7*g**2.
4*g*(g - 1)**2/7
Let n = -52 - -55. Let w(o) be the first derivative of 2/3*o**n - 1 + 0*o + 0*o**2 - 3/4*o**4. What is b in w(b) = 0?
0, 2/3
Suppose -3*l - 4*s = -144, 5*l - 2*s = -56 + 296. Let -x**3 + 6 - 5*x**3 + 3*x**3 - 39*x + l*x = 0. What is x?
-1, 2
Let j(d) be the second derivative of d**7/189 - 7*d**6/135 + d**5/15 + 308*d. Let j(a) = 0. What is a?
0, 1, 6
Let i(j) = j**3 + 9*j**2 + 18*j. Let v be i(-6). Factor -2/11*u**2 - 2/11*u**4 - 4/11*u**3 + 0 + v*u.
-2*u**2*(u + 1)**2/11
Let a(r) = -2*r**2 + 12*r + 40. Let s(b) = -2*b**2 + 13*b + 40. Let p(h) = -3*a(h) + 4*s(h). Factor p(t).
-2*(t - 10)*(t + 2)
Let o(g) = g - 8. Let i be o(13). Let n be (2 + -7)*(-3)/i. Factor 0 + 4*f - 4*f**3 - n*f**4 + 2*f**2 - 3 + 4.
-(f - 1)*(f + 1)**2*(3*f + 1)
Let n(d) be the first derivative of d**6/24 + 7*d**5/20 - 9*d**4/16 - 115*d**3/12 - 25*d**2/2 + 132. Factor n(y).
y*(y - 4)*(y + 1)*(y + 5)**2/4
Let m(s) be the second derivative of 3*s**5/100 - 13*s**4/20 - 7*s**3/5 + 77*s. Find n such that m(n) = 0.
-1, 0, 14
Find h, given that 0*h**3 + 0 + 24/17*h**2 - 32/17*h - 2/17*h**4 = 0.
-4, 0, 2
Let l(p) be the first derivative of 3/10*p**2 - 1/3*p**3 + 4 + 2/5*p. Factor l(g).
-(g - 1)*(5*g + 2)/5
Let k = 2409/2 - 1204. Let -k + 3/4*b**2 - 1/4*b = 0. Calculate b.
-2/3, 1
Let l(m) be the second derivative of 5*m**4/12 - 5*m**3/2 - 267*m. Factor l(i).
5*i*(i - 3)
Let q(u) be the second derivative of -u**4/60 + 2*u**3/15 - 3*u**2/10 - 2*u + 34. Factor q(o).
-(o - 3)*(o - 1)/5
Factor 8/3*k**3 - 1/3*k**2 + 4/3 - 5/2*k - k**4 - 1/6*k**5.
-(k - 1)**3*(k + 1)*(k + 8)/6
Let t be (-102)/(-12)*-3*6/(-9). Find q such that -405 - t*q**2 + 12*q**2 + 42*q - 96*q - 36*q = 0.
-9
Let h(t) be the second derivative of -t**10/50400 - t**9/25200 + 41*t**4/12 - 37*t. Let s(f) be the third derivative of h(f). Factor s(l