+ 2/3*v - 1/3 = 0. What is v?
1
Suppose c - 3*b + 1 = -b, 3*b - 21 = -5*c. Suppose 3*g + 5*k - 33 = -g, -2*k = -c*g - 4. Factor 3 + 4*v**2 + g*v - 2 - 3*v**2.
(v + 1)**2
Let n(i) = i**5 - i**4 + i**2 - i + 1. Let b(o) = 7*o**5 + 15*o**4 + 6*o**3 - 18*o**2 - 10*o + 2. Let t(j) = b(j) - 2*n(j). Find p, given that t(p) = 0.
-2, -2/5, 0, 1
Let s(t) = t**2 + 4. Let n(i) = 2*i**2 + 5. Let j(m) = 5*m + 1. Let f be j(-1). Let c(d) = f*n(d) + 5*s(d). Factor c(u).
-3*u**2
Let g be -3 - (-2 - -6 - (-150)/(-18)). Suppose g*q**2 - 14/3*q + 14/3*q**3 - 4/3 = 0. Calculate q.
-1, -2/7, 1
Let r(h) be the first derivative of -h**7/70 - h**6/20 - h**5/20 - 3*h**2 + 6. Let k(b) be the second derivative of r(b). Find d such that k(d) = 0.
-1, 0
Let z = -37 - -41. Let q(h) be the first derivative of -2*h**2 + h**z - 10/3*h**3 + 1 + 0*h + 2*h**5. Solve q(y) = 0.
-1, -2/5, 0, 1
Let y(h) = -h**3 - 33*h**2 + 361*h - 1333. Let d(c) = -c**3 - c - 1. Let g(q) = 10*d(q) - 5*y(q). Solve g(f) = 0 for f.
11
Let h(v) be the third derivative of -v**7/1680 + v**6/720 - v**3/2 + 9*v**2. Let a(c) be the first derivative of h(c). Let a(u) = 0. What is u?
0, 1
Determine d, given that 4/3*d - 16/3*d**2 + 2/3 - 8/3*d**5 + 4/3*d**3 + 14/3*d**4 = 0.
-1, -1/4, 1
Let o(j) = 27*j**5 + 64*j**4 + 15*j**3 - 57*j**2 - 45*j - 8. Let z(m) = m**5 + m**3 + m**2 + m. Let c(d) = -o(d) - z(d). Find s such that c(s) = 0.
-1, -2/7, 1
Let z(f) = -4*f**2 - 2*f + 2. Let r(v) = -20*v**2 - 9*v + 11. Let u(q) = -2*r(q) + 11*z(q). Factor u(o).
-4*o*(o + 1)
Let a(r) be the second derivative of 11*r**5/60 + 13*r**4/36 + r**3/9 - 15*r. Factor a(g).
g*(g + 1)*(11*g + 2)/3
Let s = -1 - -4. Let l(g) = -3 + 5 + 2*g**2 + 2*g**3 + 0*g**3. Let k(i) = -2*i**3 - 3*i**2 - 3. Let z(b) = s*l(b) + 2*k(b). What is y in z(y) = 0?
0
Factor -10/21*y**3 + 0*y - 8/21*y**4 - 2/21*y**2 + 0.
-2*y**2*(y + 1)*(4*y + 1)/21
Solve -1/5*p**2 - 4/5*p + 0 = 0.
-4, 0
Let w(t) be the first derivative of -5 - 2/15*t**5 - 4/3*t**2 - 5/6*t**4 - 16/9*t**3 + 0*t. Factor w(n).
-2*n*(n + 1)*(n + 2)**2/3
Let l(x) be the first derivative of -1/3*x**3 + 2*x**2 + 2 - 4*x. Find b such that l(b) = 0.
2
Let l = -6/185 - -92/555. Let v(s) be the first derivative of 0*s - l*s**5 - 3 + 0*s**2 + 2/9*s**3 - 1/6*s**4 + 1/9*s**6. Factor v(m).
2*m**2*(m - 1)**2*(m + 1)/3
Let j = 906 - 904. Factor j*x**3 + 5/4*x**4 + 0 + 1/4*x**2 - 1/2*x.
x*(x + 1)**2*(5*x - 2)/4
Suppose -b = -18*c + 20*c + 5, 25 = 5*c - 5*b. Let -t**3 + 0*t + c + t**2 + 1/4*t**4 = 0. Calculate t.
0, 2
Let p(n) = -5*n**5 - 7*n**4 + 3*n**3 + n**2 + 5*n. Let u(a) = -14*a**5 - 20*a**4 + 8*a**3 + 4*a**2 + 14*a. Let z(o) = 8*p(o) - 3*u(o). Factor z(d).
2*d*(d - 1)*(d + 1)**3
Let b(t) = -5*t**2 + 10*t**2 - 3 + t**3 + 7. Let h be b(-5). Suppose -2*w - 3*w**4 + w**5 + 15*w**h + 18*w**3 + 12*w**2 + 2*w**5 + 5*w = 0. What is w?
-1, 0
Let y(a) = a - 10. Let i be y(5). Let s = i + 7. What is o in 0*o**s + 0 - 2/3*o**3 + 2/3*o = 0?
-1, 0, 1
Let l be (8 + -2)*(-4)/(-6). Let x(r) be the first derivative of -1/15*r**6 + 6/25*r**5 + 2 + 0*r**2 + 2/15*r**3 + 0*r - 3/10*r**l. Factor x(w).
-2*w**2*(w - 1)**3/5
Let y(d) be the third derivative of -d**5/36 + 35*d**4/72 - 5*d**3/3 + 16*d**2. Let y(h) = 0. What is h?
1, 6
Suppose 1 - 6 = -5*k. Let g(p) be the first derivative of -k + 1/2*p**4 + 0*p + 2/3*p**3 + 0*p**2. Factor g(v).
2*v**2*(v + 1)
Let t(z) be the first derivative of -z**6/15 - z**5/10 + z**4/6 + z**3/3 - 3*z + 3. Let f(q) be the first derivative of t(q). Factor f(m).
-2*m*(m - 1)*(m + 1)**2
Let c(t) be the second derivative of -t**8/168 - t**7/105 + t**6/60 + t**5/30 - t**2 + 2*t. Let m(r) be the first derivative of c(r). Factor m(i).
-2*i**2*(i - 1)*(i + 1)**2
Let l(p) = -6*p**4 + 2*p**3 + 8*p**2 + 14*p. Let c(n) = 2*n**4 - n**3 - 3*n**2 - 5*n. Let b = 4 - -1. Let m(w) = b*l(w) + 14*c(w). Factor m(i).
-2*i**2*(i + 1)**2
Let q(d) = -d**2 + d. Suppose 3 = -3*v - 3. Let h(c) = -c**2 + c. Let w(n) = v*q(n) - h(n). Let w(s) = 0. Calculate s.
0, 1
Let h(x) = 2*x**5 - 2*x**4 - 4*x**3 + 2*x**2. Let k(o) = 2*o**5 - 3*o**4 - 4*o**3 + 3*o**2 - o. Let t = -3 - -5. Let w(f) = t*k(f) - 3*h(f). Factor w(y).
-2*y*(y - 1)**2*(y + 1)**2
Let u = -7 + 13. Suppose u - 4 = z. Determine d so that -15/2*d**4 - 51/2*d**z + 0*d + 27*d**3 + 6 = 0.
-2/5, 1, 2
Find y such that -1314*y**4 - 4*y**2 - 8*y**3 + 655*y**4 + 655*y**4 = 0.
-1, 0
Suppose -v - z + 3 = 0, 3*v + 3*z - 6*z = 9. Let -6*h**4 + 3*h**5 - h**2 + 5*h**v + 0*h**4 - h**4 + 0*h**2 = 0. Calculate h.
0, 1/3, 1
Let f(a) be the second derivative of 2*a**5/5 - a**4/3 - 4*a**3/3 + 2*a**2 + 22*a. Suppose f(p) = 0. What is p?
-1, 1/2, 1
Factor -24*a**2 + 44*a**2 + 2*a + 1 - 19*a**2.
(a + 1)**2
Let p(s) be the third derivative of s**8/336 - s**7/210 - 6*s**2. Factor p(r).
r**4*(r - 1)
Let a(c) be the third derivative of c**9/26460 - c**7/2205 + c**5/210 + c**4/12 - 4*c**2. Let p(i) be the second derivative of a(i). Solve p(m) = 0.
-1, 1
Let f(x) = x**2 + 5*x + 1. Let h be f(-5). Factor o**4 + 0*o**2 - 2*o**2 + h + 0*o**4 + 0*o**2.
(o - 1)**2*(o + 1)**2
Let i(p) be the second derivative of 5*p**7/42 + p**6/6 - 3*p**5/4 - 25*p**4/12 - 5*p**3/3 + 19*p. Find g such that i(g) = 0.
-1, 0, 2
Let d be 1 + (1 - -3) - (9 - 7). Let -8/9*v**d + 8/9*v**4 - 4/9 - 4/9*v**2 - 2/9*v**5 + 10/9*v = 0. What is v?
-1, 1, 2
Let c = 2721/4 - 680. Factor -c*s**2 + 0*s - 7/4*s**4 + 0 - 5/4*s**3 - 3/4*s**5.
-s**2*(s + 1)**2*(3*s + 1)/4
Let 1/4*j + 1/2*j**2 + 1/4*j**3 + 0 = 0. Calculate j.
-1, 0
Suppose -3*f - 40 = -5*o, -8*f - 5 = -7*f. Determine l so that 2/7*l**o + 0*l + 0*l**2 - 4/7*l**4 + 2/7*l**3 + 0 = 0.
0, 1
Factor 64*m**5 + 44*m + 203*m**2 - 31*m**2 + 4 + 113*m**3 - 71*m**3 + 250*m**3 + 224*m**4.
4*(m + 1)**3*(4*m + 1)**2
Let v(r) be the third derivative of r**8/480 + r**7/840 - r**3/6 - 6*r**2. Let w(z) be the first derivative of v(z). Suppose w(n) = 0. What is n?
-2/7, 0
Let h(o) = 192*o**2 + 87*o + 21. Let i(f) = 48*f**2 + 22*f + 5. Let r(a) = 2*h(a) - 9*i(a). Factor r(g).
-3*(4*g + 1)**2
Let c(n) = 187*n**3 + 90*n**2 - 3*n. Let g(q) = -94*q**3 - 45*q**2 + q. Let a(p) = 6*c(p) + 13*g(p). Factor a(l).
-5*l*(4*l + 1)*(5*l + 1)
Let l(g) be the third derivative of -g**7/280 - 7*g**6/160 - 11*g**5/80 - 5*g**4/32 + 18*g**2. Factor l(p).
-3*p*(p + 1)**2*(p + 5)/4
Let q(w) be the second derivative of -w + 2/3*w**3 + 1/15*w**6 + 0 + 0*w**2 - 1/6*w**4 - 1/5*w**5. Factor q(t).
2*t*(t - 2)*(t - 1)*(t + 1)
Let g(n) be the first derivative of 2/7*n - 1 + 2/7*n**3 + 3/7*n**2 + 1/14*n**4. Solve g(z) = 0.
-1
Let j(w) = w**2 - 7*w - 3. Let r be j(8). Factor -1 - r + 6*v**2 - 9*v + 2 - 2.
3*(v - 2)*(2*v + 1)
Factor 14*g + 4 + 11*g + g**2 - 29*g.
(g - 2)**2
Let h(m) = m**2 - 2*m - 4. Let p be h(4). Factor 49*x**3 - 4*x + 60*x**p - 4*x**2 - 14*x**4 + 3*x**4.
x*(x + 1)*(7*x - 2)*(7*x + 2)
Let 60*h**3 + h**5 + h + 3*h + 15*h**5 - 21*h**2 - 7*h**2 - 52*h**4 = 0. What is h?
0, 1/4, 1
Determine i so that -3/2*i**2 - 1/2*i + 0 - 3/2*i**3 - 1/2*i**4 = 0.
-1, 0
Factor -3/5*r**5 - 3/5*r**4 + 3*r**2 + 6/5*r + 9/5*r**3 + 0.
-3*r*(r - 2)*(r + 1)**3/5
Let n(q) be the first derivative of 1/6*q**4 - 1/15*q**6 + 0*q**2 + 0*q**3 + 2*q + 0*q**5 - 2. Let x(p) be the first derivative of n(p). Solve x(z) = 0.
-1, 0, 1
Let m(f) = -3*f**3 - 2*f**2 - f. Let v be m(-1). Let x(o) be the first derivative of 2 - 3/8*o**v - 1/12*o**3 - 1/2*o. Let x(a) = 0. What is a?
-2, -1
Let -48/5*j + 18*j**3 + 10*j**2 - 42/5*j**5 - 58/5*j**4 + 8/5 = 0. What is j?
-2, -1, 2/7, 1/3, 1
Let f be 1/(-3 + (-48)/(-15)). Suppose 0 = -0*a + f*a. Solve a + 0*y + 2/3*y**3 - 2/3*y**2 = 0 for y.
0, 1
Let m(l) be the first derivative of -1/13*l**2 + 0*l + 1 - 8/39*l**3. Solve m(c) = 0 for c.
-1/4, 0
Suppose -3*v + 15 = -0. Let s be (v - 1)*(-10)/(-30). Solve -j**2 - 1/3 - s*j = 0 for j.
-1, -1/3
Let c(j) = j**2 - 12*j + 29. Let l be c(3). Let q(t) = t**2 + 8*t + 10. Let m be q(-7). Factor 1/5*w**4 - 2/5*w**m + 0 + 0*w + 1/5*w**l.
w**2*(w - 1)**2/5
What is v in 10/7*v**2 - 2/7*v**4 - 2/7*v**3 - 6/7*v + 0 = 0?
-3, 0, 1
Let m(i) be the third derivative of -i**7/105 + i**6/20 - 12*i**2. Factor m(p).
-2*p**3*(p - 3)
Let c = 32678/3063 + -2/1021. Suppose 2/3*h + 16/3*h**2 + 0 + c*h**3 = 0. Calculate h.
-1/4, 0
Let q = -4 - -8. Suppose q*h = 5*b - 30, -h + 30 = 5*b + 2*h. F