 the third derivative of 0 + 0*s**3 + 0*s**4 - 1/210*s**5 - 2*s**2 + 0*s. Factor m(y).
-2*y**2/7
Suppose 4*c - z = 16, -2*z + 7 = 5*c - 0*z. Suppose 9 = 3*d + c. Find u such that u**2 + 2*u + 0*u - 3*u**d = 0.
0, 1
Let f(x) be the third derivative of -x**2 - 1/560*x**8 + 0*x**3 - 1/40*x**4 + 1/100*x**6 + 0*x**5 + 0 + 0*x + 0*x**7. Factor f(i).
-3*i*(i - 1)**2*(i + 1)**2/5
Let i(m) = 2*m**3 + 13*m**2 - 3. Let u(g) = -g**3 - 14*g**2 + 4. Let q(h) = -4*i(h) - 3*u(h). Determine a, given that q(a) = 0.
-2, 0
Let m be 600/(-405)*6/(-8). Let 2*n**2 + m*n**4 - 4/9*n - 8/3*n**3 + 0 = 0. Calculate n.
0, 2/5, 1
Factor 11*a + 3*a + 11*a + 17 + 5*a**2 + 3.
5*(a + 1)*(a + 4)
Let n = -130 - -132. Factor 4/5*g**5 + 0*g + 3*g**4 - 1/5 + n*g**2 + 4*g**3.
(g + 1)**4*(4*g - 1)/5
Let o(t) be the first derivative of t**6/1080 + t**5/360 - t**4/36 + 2*t**3/3 - 3. Let m(j) be the third derivative of o(j). Suppose m(a) = 0. What is a?
-2, 1
Suppose 8 = -5*f + 33. Suppose 4*l + f*w + 13 = 1, -5*w = l + 18. Let -2*a**4 - 4*a**3 + 6*a + 0*a**4 + 0*a**3 - 2*a**2 - l*a**3 + 4 = 0. What is a?
-2, -1, 1
Let q be 5 + (95/(-20) - 0). Factor -q + 1/2*h**3 + 1/2*h**2 - 1/4*h - 1/4*h**5 - 1/4*h**4.
-(h - 1)**2*(h + 1)**3/4
Let h = -92315/84 + 1099. Let u(s) be the third derivative of 0 + 0*s + h*s**4 - 1/420*s**6 + 0*s**3 + 0*s**5 + 3*s**2. Factor u(w).
-2*w*(w - 1)*(w + 1)/7
Factor 85/3*r**2 + 20/3*r**3 + 0 + 20/3*r.
5*r*(r + 4)*(4*r + 1)/3
Let m be 4 + 4/(6 - 4). Let y(x) be the first derivative of 1/12*x**3 + 0*x**2 + 0*x + 2 - 3/16*x**4 - 1/24*x**m + 3/20*x**5. Let y(u) = 0. Calculate u.
0, 1
Let q = 2559/2 - 1279. What is s in -4*s**3 - 2*s**2 + 0 - q*s**5 + 0*s - 5/2*s**4 = 0?
-2, -1, 0
Let r(s) be the second derivative of -s**4/6 + 4*s**2 + 16*s. Solve r(u) = 0 for u.
-2, 2
Let v(w) = -w**2 - 1. Let l(i) = -5*i**2 - 6*i - 2. Let g(j) = -l(j) + 2*v(j). Factor g(m).
3*m*(m + 2)
Let i(h) be the third derivative of h**6/24 - h**5/2 + 5*h**4/2 - 20*h**3/3 + 14*h**2. Factor i(w).
5*(w - 2)**3
Let j(q) be the first derivative of 2*q**3/15 + 6*q**2/5 + 18*q/5 - 9. Factor j(o).
2*(o + 3)**2/5
Let m(c) = -c**3 + c**2 + 1. Let p(s) = -s**3 + s**2 + 24*s - 38. Let n(h) = -2*m(h) - p(h). Factor n(d).
3*(d - 2)**2*(d + 3)
Let z(u) be the first derivative of -3*u**4 + u**3/3 + 22*u**2/3 - 20*u/3 + 11. Factor z(i).
-(3*i - 2)**2*(4*i + 5)/3
Let c(v) be the third derivative of -v**5/140 + 3*v**4/28 - 9*v**3/14 + 14*v**2. Solve c(m) = 0 for m.
3
Let g(q) = -q**3 + 2*q**2 - q. Let d be g(1). Suppose d = -t - t. Let 0*i**3 + 2/9*i**4 - 2/9*i**2 + 0 + t*i = 0. What is i?
-1, 0, 1
Suppose 5*b + 4*s = -2067 + 267, 2*s - 738 = 2*b. Let w be (-1)/4 + (-195)/b. Suppose 2/7*a - 2/7*a**2 - w*a**3 + 0 + 2/7*a**4 = 0. Calculate a.
-1, 0, 1
Let m = 0 - 5. Let o be (m/10)/(6/(-4)). Let -o + 2/3*q**2 + 0*q + 0*q**3 - 1/3*q**4 = 0. What is q?
-1, 1
Let z(d) be the third derivative of -d**6/2160 + d**4/144 - d**3/6 - d**2. Let h(x) be the first derivative of z(x). Factor h(p).
-(p - 1)*(p + 1)/6
Let g = 2 + 1. Suppose -g*n = n. Let n*t**2 - 3*t**2 - 3*t + 3*t + t = 0. Calculate t.
0, 1/3
Solve -1/5*b - 2/5 + 1/5*b**3 - 1/5*b**4 + 3/5*b**2 = 0 for b.
-1, 1, 2
Suppose 5 = k - 0*k. Determine h so that 15*h**k + 3*h**4 + h**4 - h**5 = 0.
-2/7, 0
Let i(n) = n - 6. Let h be i(10). Solve 14*z**3 - 2*z**2 - 6*z**4 + 6*z**5 + 4 - h*z**5 - 16*z + 16*z**4 - 12 = 0 for z.
-2, -1, 1
Let l(i) be the first derivative of 3*i**5/25 + 9*i**4/20 + 2*i**3/5 - 10. Find a, given that l(a) = 0.
-2, -1, 0
Let d(x) = 55*x**4 + 835*x**3 + 4950*x**2 + 10955*x + 6920. Let j(w) = 5*w**4 + 76*w**3 + 450*w**2 + 996*w + 629. Let a(c) = 4*d(c) - 45*j(c). Factor a(t).
-5*(t + 1)*(t + 5)**3
Solve -16/9*l**3 - 4/3*l**2 + 0 - 2/9*l = 0.
-1/2, -1/4, 0
Let n = 230 - 6899/30. Let k(x) be the third derivative of n*x**5 + 0 - 1/12*x**4 + 0*x - 3*x**2 - 2/3*x**3. Factor k(d).
2*(d - 2)*(d + 1)
Let s = 288/5 - 57. Let n(i) be the first derivative of -i - 3/2*i**2 + 1/6*i**6 - 1 - 2/3*i**3 + 1/2*i**4 + s*i**5. Factor n(k).
(k - 1)*(k + 1)**4
Factor 5*i**3 - 232 + 14*i + 43*i + 250 + 32*i**2.
(i + 3)**2*(5*i + 2)
Let d = 7 - 4. Let k be d + 13/(-3) + 2. Determine t so that -k - 4/3*t - 2/3*t**2 = 0.
-1
Let 0 - 2/19*d**5 + 0*d + 0*d**4 + 0*d**2 + 0*d**3 = 0. Calculate d.
0
Let b(t) be the first derivative of 2*t**5/15 - 5*t**4/6 + 16*t**3/9 - 4*t**2/3 + 12. Factor b(u).
2*u*(u - 2)**2*(u - 1)/3
Suppose 4*j - 215 = -z, -2*j + 128 = -z + 25. Let s be 3 - (-4 + j/9). Factor 2/9*f**3 + 2/9*f**4 - 4/9 - 2/3*f**2 - s*f.
2*(f - 2)*(f + 1)**3/9
Let s(g) be the first derivative of g**3 + 9*g**2/2 + 6*g - 3. Factor s(k).
3*(k + 1)*(k + 2)
Factor 0 + 0*a - 1/3*a**4 + 1/3*a**2 + 1/3*a**3 - 1/3*a**5.
-a**2*(a - 1)*(a + 1)**2/3
Let d(v) be the second derivative of v**6/30 - 7*v**5/20 + 3*v**4/2 - 10*v**3/3 + 4*v**2 + 6*v. Determine y, given that d(y) = 0.
1, 2
Factor 0*l + 2/3*l**3 - 64/3 + 4*l**2.
2*(l - 2)*(l + 4)**2/3
Factor 1/3*n**4 + 2/3*n + 0*n**2 - 2/3*n**3 - 1/3.
(n - 1)**3*(n + 1)/3
Let t(i) = 4*i - 10. Let n be t(3). Let a(g) be the first derivative of 2*g**n + 2/3*g**3 + 2*g + 3. Factor a(b).
2*(b + 1)**2
Let n be (((-28)/12)/(-7))/((-1)/(-2)). Let -2/3*z**3 + 2/3*z + 0 + n*z**2 - 2/3*z**4 = 0. Calculate z.
-1, 0, 1
Let s(k) = -2*k - 1. Let y be s(-2). Factor 0*u**2 + 0*u + 0*u**4 + 1/4*u**5 + 0 - 1/4*u**y.
u**3*(u - 1)*(u + 1)/4
Find c, given that 4*c + 46*c**2 - 52*c**2 - 2*c**3 - 4*c = 0.
-3, 0
Let q(a) be the first derivative of a**4/8 + a**3 + 9*a**2/4 + 2*a - 20. Suppose q(v) = 0. Calculate v.
-4, -1
Let m(s) be the second derivative of s**7/147 - 13*s**6/315 + 2*s**5/105 - 9*s + 1. Suppose m(d) = 0. What is d?
0, 1/3, 4
Let p(l) be the second derivative of -3/40*l**5 + 1/8*l**4 - 1/12*l**3 + 0*l**2 + 0 + 1/60*l**6 + 2*l. Factor p(c).
c*(c - 1)**3/2
Let y be 2/7 + 24/63. Factor 0 - 2/3*p**2 - y*p.
-2*p*(p + 1)/3
Let b = -132 - -136. Factor 2/3 + 2*q - 4/3*q**3 + 4/3*q**2 - 2*q**b - 2/3*q**5.
-2*(q - 1)*(q + 1)**4/3
Let r(g) = -g**2 - 2*g. Let i(t) = 31 - 31 - 2*t - t**2. Let v(p) = 2*i(p) - 3*r(p). Factor v(q).
q*(q + 2)
Let i(l) = -24*l**3 - 14*l**2 + 24*l. Let r(q) = -5*q**3 - 3*q**2 + 5*q. Let p(s) = -6*i(s) + 28*r(s). Find n such that p(n) = 0.
-1, 0, 1
Suppose 3*g = 5*f + 15, -2*g = -5*f - 3*g + 5. Let s be 0*(f + 2/(-4)). Find i, given that -40*i**3 - 4*i - 25*i**2 - 12*i**4 - 6*i**4 - i**2 + s*i = 0.
-1, -2/9, 0
Let g = 115964 + -11364313/98. Let c = g + -6/49. Factor 1 - c*q + 1/2*q**3 + 0*q**2.
(q - 1)**2*(q + 2)/2
Let a = -7/22 - -79/110. Suppose a*k**2 + 0 + 0*k = 0. What is k?
0
Let w(x) be the third derivative of 5*x**6/216 - 17*x**5/54 + 31*x**4/54 - 4*x**3/9 + 49*x**2. Suppose w(z) = 0. Calculate z.
2/5, 6
Let x(m) be the third derivative of 8*m**7/105 + 3*m**6/5 + 97*m**5/60 + 3*m**4/2 + 2*m**3/3 - 13*m**2. Let x(c) = 0. What is c?
-2, -1/4
Let p(t) be the second derivative of -t**7/168 - t**6/120 + 3*t**5/40 + 7*t**4/24 + 11*t**3/24 + 3*t**2/8 - 62*t. Factor p(a).
-(a - 3)*(a + 1)**4/4
Let y = -836 + 838. Determine d, given that -1/2*d**2 - 2*d - y = 0.
-2
Let v = -4 - -7. Suppose 0 = -v*i + 6*i - 6. What is t in 0*t + 1/2*t**i - 1/2 = 0?
-1, 1
Let b be 3/24*12/9. Determine y so that -b - 1/6*y + 1/6*y**3 + 1/6*y**2 = 0.
-1, 1
Let m(h) = -3*h**4 + 12*h**3 + 9*h**2 - 12*h - 3. Let a(l) = -l**4 + l**3 + l**2 + l + 1. Let b(p) = -3*a(p) - m(p). Solve b(f) = 0 for f.
-1, 0, 1/2, 3
Factor -15 + 10*s + 5*s**2 + 0*s + 0*s.
5*(s - 1)*(s + 3)
Suppose 8 + 3 - 6*z - 11 - 3*z**2 = 0. What is z?
-2, 0
Suppose -2*m = -15 - 9. Factor -m*y**4 - 6*y**3 + 3*y + 4*y**5 - y**5 + 15*y**4 - 6*y**2 + 3.
3*(y - 1)**2*(y + 1)**3
Suppose 2*c = 4*k + k - 28, k - 16 = 3*c. Factor -3*m**2 - 9/2*m**3 - k + 10*m.
-(m + 2)*(3*m - 2)**2/2
Factor -115*s**4 + 20*s**2 + 10*s - 5*s**2 + 100*s**4 - 10*s**3.
-5*s*(s - 1)*(s + 1)*(3*s + 2)
Let t(m) be the first derivative of 2*m**5/75 - m**4/5 + 2*m**3/5 - 4*m**2/15 - 42. What is k in t(k) = 0?
0, 1, 4
Let h = 256 + -1272/5. Factor 8/5 - h*i + 2/5*i**2.
2*(i - 2)**2/5
Let s(x) be the second derivative of 0 + x**2 + 0*x**5 - 1/24*x**4 + 1/360*x**6 + x + 1/9*x**3. Let u(z) be the first derivative of s(z). Factor u(h).
(h - 1)**2*(h + 2)/3
Let i = 177/394 - -10/197. Factor 3/2*w + 0 + i*w**2.
w*(w + 3)/2
Factor 0*n**3 + 