 - 2/3*g**4 + 0 = 0.
-1, 0, 1/2
Let w = 8 - 6. Factor -2*d**w + 0 + 0*d**2 - 1 - 3 + 6*d.
-2*(d - 2)*(d - 1)
Let t = 79/21 + -17/7. Factor 0 - 10/3*v**2 - 2/3*v**4 - 8/3*v**3 - t*v.
-2*v*(v + 1)**2*(v + 2)/3
Suppose i = -i + 12. Solve f**2 - 12*f**2 - 4*f**2 - i*f = 0.
-2/5, 0
Let x(n) = -8*n**4 - 24*n**3 - 40*n**2 - 15*n + 3. Let a(k) = k**4 - k**3 + k - 1. Let l(s) = 3*a(s) + x(s). Let l(j) = 0. What is j?
-3, -2, -2/5, 0
Let a(g) be the third derivative of -g**5/240 + g**4/24 - g**3/8 - 41*g**2. Determine s, given that a(s) = 0.
1, 3
Suppose 3*a + 1 = 7. Suppose -4 - 12*v - 56*v**a + 10 + 2 = 0. What is v?
-1/2, 2/7
Factor -3/2 + 3/4*m**2 - 3/4*m.
3*(m - 2)*(m + 1)/4
Let p = -6016/25 - -722/3. Let s(u) be the third derivative of -p*u**5 - 1/300*u**6 + 0*u - 1/12*u**4 - u**2 - 2/15*u**3 + 0. Factor s(f).
-2*(f + 1)**2*(f + 2)/5
Let j(m) be the second derivative of -m**5/150 + m**4/30 - m**3/15 + 3*m**2 + 2*m. Let n(g) be the first derivative of j(g). Factor n(p).
-2*(p - 1)**2/5
Let v(r) be the third derivative of r**8/1848 - 8*r**7/1155 + 3*r**6/110 - 9*r**4/44 + 4*r**2. Factor v(y).
2*y*(y - 3)**3*(y + 1)/11
Let y be 2/7 - 254/7. Let j be (-6)/(y/8 - 0). Suppose 0*g + 10/3*g**3 + 2/3*g**5 - j*g**2 + 0 - 8/3*g**4 = 0. What is g?
0, 1, 2
Let a(d) be the third derivative of d**6/30 + 11*d**5/15 + 4*d**4 - 24*d**3 + 11*d**2. Let a(v) = 0. Calculate v.
-6, 1
Let p(q) = -q**2 - 8*q + 2. Let f(o) = -o**3 + 6*o**2 - 7*o + 2. Let m be f(5). Let z be p(m). Factor -1/3*s**z + 0*s + 0.
-s**2/3
Let z(y) be the first derivative of 0*y + 0*y**4 + 3/2*y**2 + 0*y**3 - 1/105*y**5 - 1/420*y**6 + 2. Let m(h) be the second derivative of z(h). Factor m(l).
-2*l**2*(l + 2)/7
Let b(z) be the first derivative of -z**6/660 + z**4/132 + z**2/2 + 2. Let q(g) be the second derivative of b(g). Factor q(v).
-2*v*(v - 1)*(v + 1)/11
Suppose -4*h - 1 = -2*c + 1, -h + 5*c - 23 = 0. Factor -2*n - 2*n**h - 2 - 2 - 8*n + 4*n.
-2*(n + 1)*(n + 2)
Suppose -2*i + 4*i - 20 = 0. Factor -j**4 + 4*j**4 - j**4 - 8*j**3 - 4*j + 0*j + i*j**2.
2*j*(j - 2)*(j - 1)**2
Let c(v) be the second derivative of -v**6/15 + v**4/2 - 2*v**3/3 + v + 7. Factor c(o).
-2*o*(o - 1)**2*(o + 2)
Let y(z) be the first derivative of 2*z**3/39 + 8*z**2/13 + 32*z/13 + 15. Factor y(t).
2*(t + 4)**2/13
Let z be (9080/(-15))/((-2778)/1). Let a = 2/463 + z. Factor -4/9 - 2/3*v + a*v**3 + 0*v**2.
2*(v - 2)*(v + 1)**2/9
Let f(g) = g**4 - g**3 - g**2 + g. Let i(l) = l**5 + 8*l**4 + 35*l**3 + 42*l**2 + 14*l. Let k(v) = 2*f(v) + i(v). Factor k(n).
n*(n + 1)**2*(n + 4)**2
Suppose -4*z + 10 = 2. Suppose 6 = 4*n + z. Factor 2*b + 2*b**2 - b**4 - n + 2*b**3 - b**5 + b - 4*b.
-(b - 1)**2*(b + 1)**3
Let l be (-8)/(-36)*3*(2 - -1). Determine p so that -7/3*p + 2/3 - 3*p**l = 0.
-1, 2/9
Let v(s) be the first derivative of -1/7*s**2 + 1/21*s**6 - 4 + 0*s**4 + 0*s - 4/21*s**3 + 4/35*s**5. Let v(m) = 0. What is m?
-1, 0, 1
Find u, given that -14*u + 1 + 3*u**2 + 12*u - 4*u + 2 = 0.
1
Suppose -3*w + 10 - 1 = 0. Let m(o) be the first derivative of 3/5*o**5 + 0*o - 2*o**4 + 7/3*o**w - o**2 + 1. Factor m(n).
n*(n - 1)**2*(3*n - 2)
Let d(k) be the first derivative of -k**8/3360 + k**7/1680 + k**6/720 - k**5/240 + 2*k**3 + 2. Let t(n) be the third derivative of d(n). Solve t(c) = 0 for c.
-1, 0, 1
Let t(l) = 5*l**3 + 8*l**2 + 13*l + 4. Let p(i) = -14*i**3 - 24*i**2 - 38*i - 12. Let d(m) = 3*p(m) + 8*t(m). Factor d(n).
-2*(n + 1)**2*(n + 2)
Let h(r) be the first derivative of r**8/168 - r**6/20 + r**5/15 - 2*r**2 + 8. Let k(q) be the second derivative of h(q). Factor k(l).
2*l**2*(l - 1)**2*(l + 2)
Suppose 0 = -3*u - 5*v - 19, 2*u + 4*v + 13 = -3. Suppose 13 - 8 - b**u + 2*b - 6 = 0. Calculate b.
1
Suppose -5*u = -y + 575, 3*y - 398 = 3*u - 41. Let t = u - -572/5. Factor 2/5*h + 0*h**2 + 0 - t*h**3.
-2*h*(h - 1)*(h + 1)/5
Let y be 0 + 2/6 + 2. Suppose 4*n - 6*n + 3*o = -5, 5*o - 25 = -5*n. What is q in -2*q**n + 1/3*q + y*q**2 - 1/3*q**3 - 1/3 = 0?
-1, -1/2, 1/3, 1
Suppose y = -2*a + 12, -3*y + 0*y + 5*a = 8. Factor -4*h**2 - 4*h + 2*h**3 + 2*h + 2*h**2 + 2*h**y.
2*h*(h - 1)*(h + 1)**2
Let i(b) be the third derivative of -b**8/560 - 2*b**7/175 - 3*b**6/100 - b**5/25 - b**4/40 + 7*b**2. Factor i(u).
-3*u*(u + 1)**4/5
Let v be 91/60 + (-3)/(-12). Let z = 13/6 - v. Factor 0*o + 2/5*o**2 - 2/5*o**4 + z*o**3 - 2/5*o**5 + 0.
-2*o**2*(o - 1)*(o + 1)**2/5
Let i = -735/2 - -368. Factor 0 - i*a**2 - 1/2*a.
-a*(a + 1)/2
Let a(k) = -476*k**2 - k + 1. Let b be a(1). Let x = b - -1468/3. Suppose 4/3*h + 0 - 34/3*h**3 - 10/3*h**2 + x*h**4 = 0. What is h?
-2/5, 0, 1/4, 1
Let v(r) = -8*r**2 - 25*r + 33. Let z(p) = 4*p**2 + 12*p - 16. Let f(w) = -4*v(w) - 9*z(w). Suppose f(s) = 0. Calculate s.
-3, 1
Suppose 5*s + 2 + 3 = -2*k, -k + 3*s + 3 = 0. Let x(g) be the second derivative of -1/20*g**5 - 4*g**2 - 2*g**3 + k - 1/2*g**4 - g. Solve x(w) = 0 for w.
-2
Let l(n) be the third derivative of -n**5/240 + n**4/24 + n**3/2 + 19*n**2. Solve l(t) = 0 for t.
-2, 6
Let d(w) = w**3 + w. Let b be d(1). Suppose -65*c = -8*c. Determine y, given that c*y - 1/3*y**b + 1/3*y**3 + 0 = 0.
0, 1
Let j(a) be the second derivative of 5*a**4/12 + 2*a**3/3 + a. Let o(u) = 4*u**2 + 3*u. Let g(c) = 5*j(c) - 6*o(c). What is s in g(s) = 0?
-2, 0
Suppose 0*k = -4*x + 2*k + 18, -3*x - 4*k - 3 = 0. Let o(c) be the second derivative of 1/60*c**4 - 1/15*c**x + 0 + 1/10*c**2 - 2*c. Solve o(f) = 0.
1
Suppose 0 = 4*j - 12, -6*v - 5*j = -3*v - 15. Suppose 7 = q + 3, -8 = -4*n + 2*q. Find a such that -n + a**2 - a + 2 + v*a = 0.
-1, 2
Let a = 265/18 - 29/2. Factor 0 - 2/9*h**3 - a*h**4 + 2/9*h + 2/9*h**2.
-2*h*(h - 1)*(h + 1)**2/9
Let x(b) = b**4 - 2*b**3 - 9*b**2 - 4*b - 2. Let o(d) = 6*d**4 - 15*d**3 - 63*d**2 - 27*d - 15. Let j(t) = 2*o(t) - 15*x(t). Find u, given that j(u) = 0.
-1, 0, 2
Let s(k) be the third derivative of k**6/80 + k**5/20 - k**4/16 - k**3/2 + 4*k**2. Factor s(h).
3*(h - 1)*(h + 1)*(h + 2)/2
Suppose 0*y - 2*c = -y + 12, -4*c = 2*y - 64. Factor 3*w**3 + 2*w**5 + 9*w**5 + y*w**4 + 15*w**3 - 3*w**5 + 2*w**2 - 2*w.
2*w*(w + 1)**3*(4*w - 1)
Let j(q) be the third derivative of 4*q**2 + 1/60*q**5 + 0*q + 1/12*q**4 + 0*q**3 - 1/24*q**6 - 1/210*q**7 + 0 + 1/112*q**8. Factor j(a).
a*(a - 1)**2*(a + 1)*(3*a + 2)
Let d(t) be the second derivative of 13/40*t**5 + 4*t + 0 + 11/12*t**3 + 1/20*t**6 + 19/24*t**4 + 1/2*t**2. Determine y, given that d(y) = 0.
-2, -1, -1/3
Suppose -4*v + 15*v**3 - 18*v**2 + 9*v - 7*v**2 + 5 = 0. Calculate v.
-1/3, 1
Let j(t) be the third derivative of t**6/100 + t**5/50 + 4*t**2. Factor j(m).
6*m**2*(m + 1)/5
Let x(p) = p**2 - p - 1. Let a(y) be the first derivative of y**3 - 2*y**2 - 4*y - 4. Let u(d) = a(d) - 4*x(d). Suppose u(o) = 0. What is o?
0
Let o(b) be the second derivative of -3*b**5/140 + b**4/28 + b**3/14 - 3*b**2/14 + 9*b. Suppose o(t) = 0. Calculate t.
-1, 1
Let u = -10/27 + 124/189. Find z, given that -u - 10/7*z**3 + 10/7*z - 6/7*z**2 + 8/7*z**4 = 0.
-1, 1/4, 1
Let s(o) be the first derivative of -o**3/18 - o**2/12 + o/3 + 7. Factor s(a).
-(a - 1)*(a + 2)/6
Suppose 0 = -5*q + 17 + 8. Suppose 0 = -2*z + 4, -q*s = 2*z - 19 + 5. Factor -2*u + 2*u + s - 2*u**2.
-2*(u - 1)*(u + 1)
Suppose -1 = 3*i - 19. Suppose 3*m + 0 - i = 0. Determine y, given that -3/5 - 3/5*y**m + 6/5*y = 0.
1
Let w(a) = 2*a. Let u be w(-6). Let l be (-11)/(-3) + (-4)/u. Factor o**3 - o**2 + o + 4*o**2 - l*o**2 - 2*o + 1.
(o - 1)**2*(o + 1)
Suppose 3 = -2*n + 7. Let y(a) = -5 - 2*a**n + 3 + a**2. Let u(i) = i**2 + i + 3. Let f(j) = -4*u(j) - 6*y(j). Factor f(o).
2*o*(o - 2)
Let m = -6/43 - -238/473. Factor -2/11*o**4 + m*o + 10/11*o**2 - 2/11*o**5 + 6/11*o**3 + 0.
-2*o*(o - 2)*(o + 1)**3/11
Let p(j) be the third derivative of j**5/90 + j**4/18 + 23*j**2. Factor p(o).
2*o*(o + 2)/3
Let t(p) be the second derivative of 0*p**2 - 10*p + p**4 - 2/5*p**5 - 2/15*p**6 + 0*p**3 + 0. Factor t(d).
-4*d**2*(d - 1)*(d + 3)
What is b in 5/2 + 15/4*b - 5/4*b**2 - 15/4*b**3 - 5/4*b**4 = 0?
-2, -1, 1
Suppose -6*k + 2*k = -8. Suppose -3/5*a + 0 + 3/5*a**k = 0. Calculate a.
0, 1
Let p(s) = -7*s**2 - 4*s + 3. Let f(j) = -j**2 - j. Let t(v) = -6*f(v) + p(v). Factor t(y).
-(y - 3)*(y + 1)
Let a = 26 + -24. Let t(o) = -o + 2. Let i be t(1). Factor 0 + v**a - 2*v + 2 - i + 0.
(v - 1)**2
Factor 2/