 Solve -4/3*t**2 - 2/3*t + y = 0 for t.
-1/2, 0
Let w = 5 - -1. Let a(n) be the third derivative of -1/10*n**5 + 0*n + n**2 - 1/4*n**4 + 0 - 1/60*n**w - 1/3*n**3. Factor a(o).
-2*(o + 1)**3
Suppose -2*c - 3*c = -10. Determine g so that 0 - 3/4*g**c + 1/4*g**3 + 1/2*g = 0.
0, 1, 2
Let d(j) be the second derivative of 0 + 0*j**2 - 3*j - 1/6*j**3 - 1/12*j**4. Let d(u) = 0. What is u?
-1, 0
Let m = 204 + -1014/5. Factor 8/5 - m*d**2 + 0*d + 2/5*d**3.
2*(d - 2)**2*(d + 1)/5
Let r be (-4)/(-14)*-1*-1. Factor 6/7*f**2 + 0 + r*f**3 + 4/7*f.
2*f*(f + 1)*(f + 2)/7
Let o(z) be the third derivative of -z**5/20 + z**3/2 - 9*z**2. Factor o(r).
-3*(r - 1)*(r + 1)
Let z(p) be the second derivative of p**2 - 3*p + 0 - 1/20*p**5 - 1/6*p**4 + 1/6*p**3. Determine u, given that z(u) = 0.
-2, -1, 1
Suppose x + 2*c + 2 = 0, -4*c - 8 + 4 = 0. Suppose 0*o - 2/3*o**3 + x - 2*o**2 = 0. What is o?
-3, 0
Factor 2/3*t**4 + t**3 - 4/3 + 5*t - 16/3*t**2.
(t - 1)**2*(t + 4)*(2*t - 1)/3
Let b(q) be the third derivative of -q**7/3360 - q**6/720 - q**5/480 - q**3 - 7*q**2. Let f(v) be the first derivative of b(v). Factor f(a).
-a*(a + 1)**2/4
Factor -33/2*m**2 - 1/2*m**4 - 5*m**3 - 8 - 20*m.
-(m + 1)**2*(m + 4)**2/2
Let c(g) be the first derivative of g**4/21 - g**3/7 + g**2/7 - 2*g - 3. Let u(r) be the first derivative of c(r). Factor u(t).
2*(t - 1)*(2*t - 1)/7
Let x be 10/(-6) - (3 - 5). Factor 1/3*y**3 + 2/3*y**2 + x*y + 0.
y*(y + 1)**2/3
Let a(s) be the first derivative of s**4/16 + s**3/6 + s**2/8 - 8. Factor a(c).
c*(c + 1)**2/4
Let o(t) be the third derivative of -t**5/20 + 5*t**4/8 - 50*t**2. Factor o(l).
-3*l*(l - 5)
Let b(t) = -t**2 + t. Let f(a) = -a**2 + 2*a. Suppose 0 = 3*n - 3*m + 7*m - 28, n = m. Let l(u) = n*b(u) - 3*f(u). Find p such that l(p) = 0.
-2, 0
Let r(j) be the second derivative of -j**6/6 + j**5/2 - 5*j**4/12 - 3*j. Factor r(i).
-5*i**2*(i - 1)**2
Let m(n) be the third derivative of -7*n**6/360 - 5*n**5/36 - 13*n**4/36 - 4*n**3/9 - 3*n**2 + 8. Determine j, given that m(j) = 0.
-2, -1, -4/7
Let t(x) be the third derivative of -19*x**5/20 + 9*x**4/4 + x**3/2 + 2*x**2 + 10. Find q, given that t(q) = 0.
-1/19, 1
Let q be 34/7 + 5/35. Let c be (-2)/(-5) - (-8)/q. Factor 1/2*b**c + 0*b + 0.
b**2/2
Factor 1/4 - 1/2*k**2 + 0*k + 0*k**3 + 1/4*k**4.
(k - 1)**2*(k + 1)**2/4
Factor 4*t**3 + 75*t**5 + 21*t**4 + 12*t - 36*t**2 + 69*t**4 - 37*t**3.
3*t*(t + 1)**2*(5*t - 2)**2
Suppose -w = q + 3*q - 18, 4*w = 3*q - 4. What is o in 2*o**2 + 0 + w*o + 1/2*o**3 = 0?
-2, 0
Factor 2*n**2 + 3*n**2 - 4*n**2.
n**2
Let h(u) be the third derivative of u**8/20160 + u**7/2520 + u**5/60 + 5*u**2. Let x(g) be the third derivative of h(g). Factor x(r).
r*(r + 2)
Let n(d) = 59*d + 1. Let q be n(2). Let x = q - 69. Factor 10*h**2 - 8*h - 10*h**3 + 9*h**2 + 13*h**2 - x*h**4.
-2*h*(h + 1)*(5*h - 2)**2
Let m(q) = 11*q**3 - 51*q**2 - 11*q + 39. Let o(n) = 45*n**3 - 205*n**2 - 45*n + 155. Let u(k) = 25*m(k) - 6*o(k). Factor u(w).
5*(w - 9)*(w - 1)*(w + 1)
Determine f, given that -8*f + 0*f**2 - 2*f**2 - 22 + 16 = 0.
-3, -1
Let i(f) be the second derivative of -f**6/540 + f**5/135 - f**2/2 + f. Let c(r) be the first derivative of i(r). Factor c(v).
-2*v**2*(v - 2)/9
Let y(g) = -g - 2. Suppose -3*j + 12 = -3*c, -5*c - 5*j = 28 + 12. Let w be y(c). Factor -1 - z**3 - z**5 + 0*z**w + 1 + 2*z**4.
-z**3*(z - 1)**2
Suppose 3*j + 3 = -5*c - 10, 4*c + 16 = -j. Let w = -1 + 1. What is q in w - 1/2*q**j - 1/2*q**3 + 1/2*q**2 + 1/2*q = 0?
-1, 0, 1
Let c(v) be the first derivative of -3 - 2/5*v**2 + 0*v + 14/15*v**3. Factor c(w).
2*w*(7*w - 2)/5
Let k(j) be the second derivative of -j**5/80 - j**4/32 + j**3/24 + 3*j**2/16 + j. Factor k(l).
-(l - 1)*(l + 1)*(2*l + 3)/8
Let a = 11 - 7. Solve -3*x**2 - 4*x**3 + 2*x**3 + 2 - x**2 + 2*x**a + x**5 + 3*x - 2*x = 0 for x.
-2, -1, 1
Let b(t) be the third derivative of -9*t**6/50 - 17*t**5/100 - t**4/20 - 7*t**2. Solve b(p) = 0.
-1/4, -2/9, 0
Let y(i) be the third derivative of i**7/490 - 3*i**6/280 + i**5/70 - 2*i**2. Solve y(z) = 0 for z.
0, 1, 2
Let z(f) be the third derivative of 7*f**8/360 - 13*f**7/75 + 4*f**6/25 - 2*f**5/45 + 7*f**2 + f. Factor z(s).
2*s**2*(s - 5)*(7*s - 2)**2/15
Let n(o) be the third derivative of o**7/945 - o**6/270 - o**5/270 + o**4/54 - 25*o**2. Factor n(d).
2*d*(d - 2)*(d - 1)*(d + 1)/9
Suppose 4*x + 2*x - 84 = 0. Let m = -12 + x. Factor -3/4*f - 1/4*f**m - 1/2.
-(f + 1)*(f + 2)/4
Let w(y) be the second derivative of 7*y**7/10 - 7*y**6/2 + 141*y**5/20 - 29*y**4/4 + 4*y**3 - 6*y**2/5 + 7*y. Factor w(u).
3*(u - 1)**3*(7*u - 2)**2/5
Let z(f) be the second derivative of 25*f**4/6 + 40*f**3/3 + 16*f**2 - 5*f. Factor z(a).
2*(5*a + 4)**2
Let h(f) be the first derivative of -1 + 1/3*f**2 - 1/3*f**4 + 2/3*f + 2/15*f**5 + 1/9*f**6 - 4/9*f**3. Let h(j) = 0. What is j?
-1, 1
Let m = -5 - -6. Suppose -5*g = -2*g - 15. Factor w**2 - g + 5 - m.
(w - 1)*(w + 1)
Let m(y) be the first derivative of 1/12*y**3 - 1/16*y**4 - 1 + 0*y**2 + 0*y. Factor m(t).
-t**2*(t - 1)/4
Let i(q) be the first derivative of q**6/15 + 3*q**5/10 + q**4/6 - q**3 - 2*q**2 - q + 8. Let h(x) be the first derivative of i(x). Factor h(c).
2*(c - 1)*(c + 1)**2*(c + 2)
Let f = 5 + -3. Let o be ((-32)/(-10))/(-4) + f. Factor o*h**2 - 2/5*h**3 + 0*h - 8/5.
-2*(h - 2)**2*(h + 1)/5
Factor 7*j - j + 32*j**2 - 28*j**3 - 10*j.
-4*j*(j - 1)*(7*j - 1)
Let f(l) be the second derivative of 4/7*l**3 - 3*l - 1/35*l**5 - 3/14*l**4 + 1/35*l**6 + 0 - 4/7*l**2. What is n in f(n) = 0?
-2, 2/3, 1
Let f(o) be the second derivative of -1/12*o**3 + 0*o**2 + 1/24*o**4 + 3*o + 0. Factor f(v).
v*(v - 1)/2
Let -318*j**5 + 13*j**3 - 4 + 15*j**2 - 13*j - 3*j + 12*j**3 + 309*j**5 - 11*j**4 = 0. Calculate j.
-2, -1, -2/9, 1
Let y(v) = 2*v - 2. Suppose 1 - 3 = -n. Let d(o) be the second derivative of o**5/20 - o**4/12 + o**3 - 3*o**2 + 4*o. Let t(z) = n*d(z) - 7*y(z). Factor t(r).
2*(r - 1)**2*(r + 1)
Let s be (-2)/11 - (-2)/11. Let z(m) be the second derivative of -1/12*m**4 + 0 - 1/30*m**6 + s*m**3 + 1/10*m**5 + 0*m**2 + m. Let z(l) = 0. Calculate l.
0, 1
Let n(o) be the third derivative of -o**7/2100 + o**6/450 - o**5/300 - o**3/2 + 3*o**2. Let u(p) be the first derivative of n(p). Suppose u(i) = 0. Calculate i.
0, 1
Let m(j) = j + 1. Let x be m(-1). Factor -4 + 3*l + 1 - 3*l**3 + 3*l**2 + x.
-3*(l - 1)**2*(l + 1)
Let r(o) be the first derivative of 5*o**6/6 - o**5 - 5*o**4/2 - 35. Factor r(t).
5*t**3*(t - 2)*(t + 1)
Let h = 149 + -1339/9. Let 0*g - h*g**3 + 2/9*g**2 + 0 = 0. What is g?
0, 1
Let k = -138 + 970/7. Determine s so that -k*s**2 + 0 - 2/7*s**3 + 0*s = 0.
-2, 0
Let q(l) be the first derivative of -l**5/25 - l**4/4 + 23. Solve q(w) = 0 for w.
-5, 0
Let z(b) be the second derivative of 1/10*b**5 + 1/6*b**4 + 0 + 4*b - 1/3*b**3 - b**2. Factor z(h).
2*(h - 1)*(h + 1)**2
Let g(s) be the second derivative of 0*s**3 + 3/110*s**5 + 0*s**2 + 1/66*s**4 + 0 - 2*s. Determine u so that g(u) = 0.
-1/3, 0
Let d be (-24)/9 - -3 - 3/(-18). Factor 1/2*u**5 + 0*u**3 + 0 - d*u + u**2 - u**4.
u*(u - 1)**3*(u + 1)/2
Let q(s) = 26*s**3 + 30*s**2 - 4*s - 30. Let f = 8 - 6. Let h(j) = 5*j**3 + 6*j**2 - j - 6. Let i(x) = f*q(x) - 11*h(x). Solve i(z) = 0.
-2, -1, 1
Let h(u) be the third derivative of -u**7/75 - 17*u**6/300 - 3*u**5/50 + u**4/12 + 4*u**3/15 + 11*u**2. Find a such that h(a) = 0.
-1, 4/7
Let x(w) be the first derivative of w**6/240 - w**5/120 - w**4/24 + w**2 - 1. Let f(v) be the second derivative of x(v). Let f(c) = 0. Calculate c.
-1, 0, 2
Let z(u) be the second derivative of -2*u**6/15 - 2*u**5/5 + u**4/3 + 4*u**3/3 + 7*u. Factor z(j).
-4*j*(j - 1)*(j + 1)*(j + 2)
Let m(y) be the third derivative of y**8/16 + 9*y**7/70 - 19*y**6/40 - 41*y**5/20 - 3*y**4 - 2*y**3 + 3*y**2. Factor m(n).
3*(n - 2)*(n + 1)**3*(7*n + 2)
Let m(l) = l**2 - 56*l + 108. Let r be m(54). Find i such that -i**3 - 9/2*i**5 + 0 + r*i + 11/2*i**4 + 0*i**2 = 0.
0, 2/9, 1
Let f = 86 + -83. Let u(d) be the second derivative of 1/12*d**4 + 1/30*d**6 + 0*d**2 + d + 0*d**f + 0 - 1/10*d**5. Factor u(v).
v**2*(v - 1)**2
Let o = 17 + -17. Let c(n) be the third derivative of -1/108*n**4 + 0*n**5 + 0*n + 1/540*n**6 + n**2 + o + 0*n**3. Suppose c(p) = 0. Calculate p.
-1, 0, 1
Let q(n) be the second derivative of -2/15*n**6 + 1/10*n**5 + 0*n**2