 -2/11*v**g + 0*v + 0 - 4/11*v**2 = 0.
-2, 0
Let m(z) be the third derivative of z**5/300 - z**4/120 - z**3/15 - z**2. Let m(t) = 0. Calculate t.
-1, 2
Let k(p) be the second derivative of p**6/75 + p**5/50 - 17*p. Solve k(m) = 0 for m.
-1, 0
Solve 10*n**3 - 13*n**2 + 0*n**4 + 5*n**4 - 10*n + 8*n**2 = 0 for n.
-2, -1, 0, 1
Let g(u) be the second derivative of -u**5/10 + u**4/3 - u**3/3 - 14*u. Factor g(c).
-2*c*(c - 1)**2
Suppose 0 = 4*r - 0*r. Suppose r = -5*s + s. What is d in 2/5*d**3 - 2/5*d**4 + s*d + 2/5*d**2 - 2/5*d**5 + 0 = 0?
-1, 0, 1
Let w be 102/(-4)*(-20)/(-70). Let y = -97/21 - w. Factor -10/3*b**2 + y*b + 4/3*b**3 - 2/3.
2*(b - 1)**2*(2*b - 1)/3
Let k = -36/13 - -998/351. Let a(d) be the first derivative of -k*d**3 + 0*d + 3 + 1/9*d**2. Factor a(u).
-2*u*(u - 1)/9
Let q(w) be the second derivative of w**6/40 - w**5/20 - w**4/12 - 12*w. Let q(p) = 0. Calculate p.
-2/3, 0, 2
Let d(j) = -j**2 + 1. Let i be (-2)/5 + 51/15. Let k = i + -4. Let v(w) = 4*w + 4. Let x(o) = k*v(o) + 2*d(o). Factor x(y).
-2*(y + 1)**2
Let c(z) be the third derivative of -z**5/210 + 5*z**4/84 + 2*z**3/3 - 53*z**2. Let c(t) = 0. What is t?
-2, 7
Let h = 109/52 + -24/13. Solve 1 + h*s**2 - s = 0 for s.
2
Let j(n) be the first derivative of 2*n**5/15 + n**4/2 + 2*n**3/9 - n**2 - 4*n/3 - 3. Suppose j(p) = 0. What is p?
-2, -1, 1
Let f(g) be the first derivative of 1/3*g**3 - 2 + 2*g**2 + 4*g. Find p, given that f(p) = 0.
-2
Let c(u) be the third derivative of u**8/1680 + u**7/1050 - u**6/600 - u**5/300 - 2*u**2. Factor c(a).
a**2*(a - 1)*(a + 1)**2/5
Solve 2/7*l**3 + 30/7*l - 18/7 - 2*l**2 = 0.
1, 3
Let k = -178 - -180. Factor 0*w + 0 + 2/7*w**k.
2*w**2/7
Let g(b) be the third derivative of b**5/90 + b**4/36 + 4*b**2. Solve g(o) = 0.
-1, 0
Let l(c) be the first derivative of -c**5/25 + c**3/5 - c**2/5 - 14. Suppose l(m) = 0. Calculate m.
-2, 0, 1
Let t be (-6)/10 - 230/(-50). Let q(u) be the first derivative of 0*u**2 + 2 - 1/14*u**t + 0*u - 2/21*u**3. Factor q(z).
-2*z**2*(z + 1)/7
Let f = 11 + -8. Suppose 7 = f*i - 2. Factor 0 + 1/2*g - 1/2*g**i + 1/2*g**4 - 1/2*g**2.
g*(g - 1)**2*(g + 1)/2
Let b(s) = -s**2 + 9*s + 3. Suppose 0 = 3*m + 9, -5*p - 5*m = -2*p - 12. Let z be b(p). Factor 1/4 + 27/2*x**z + 27/4*x**4 + 5/2*x + 9*x**2.
(x + 1)*(3*x + 1)**3/4
Let f(x) be the second derivative of -x**8/4200 - x**7/300 - x**6/60 - 3*x**5/100 - 5*x**3/6 - 10*x. Let v(o) be the second derivative of f(o). Factor v(d).
-2*d*(d + 1)*(d + 3)**2/5
Let y(g) = 19*g**2 + 7. Let j(h) = -3*h**2 - 1. Let q(i) = 39*j(i) + 6*y(i). Let q(l) = 0. Calculate l.
-1, 1
Let q(o) be the second derivative of 0*o**2 + 1/12*o**4 + 0*o**3 + 1/10*o**5 - o + 0 + 1/30*o**6. Factor q(y).
y**2*(y + 1)**2
Let d be (-2)/15 + (-62)/(-15). Factor 6*y**2 - 5*y**d + 4*y**4 - y**4 - 4*y.
-2*y*(y - 1)**2*(y + 2)
Let q be 1/(3/9 + 0). Let u(a) = -3*a**4 - 11*a**3 - 8*a**2 + 8. Let c(r) = -r**4 - 4*r**3 - 3*r**2 + 3. Let k(z) = q*u(z) - 8*c(z). Factor k(x).
-x**3*(x + 1)
Suppose -70 = -4*a - 62. Let r = -151/42 - -25/6. Factor r*s + 2/7*s**a + 2/7.
2*(s + 1)**2/7
Let j be 2 + -1 + (-3 - 44/(-16)). Factor 1/4*k**4 - 1/2 - j*k + 3/4*k**3 + 1/4*k**2.
(k - 1)*(k + 1)**2*(k + 2)/4
Let r be 21*(-4)/(-12) + -3. Factor -2 - r + 2*q**2 - 2 - 4*q + 2.
2*(q - 3)*(q + 1)
Factor -3/5*m**5 + 0*m**2 - 6/5*m**4 + 0 + 0*m - 3/5*m**3.
-3*m**3*(m + 1)**2/5
Let o(t) be the second derivative of -t**5/25 - 4*t**4/15 - 2*t**3/3 - 4*t**2/5 + 4*t. Factor o(r).
-4*(r + 1)**2*(r + 2)/5
Factor 0 - 3/2*g + 0*g**3 - 3*g**4 + 3/2*g**5 + 3*g**2.
3*g*(g - 1)**3*(g + 1)/2
Suppose u = 2 + 5. Let h = u + -7. Find i, given that 1/2*i**5 + 0*i**4 + 0*i**2 + h*i - 1/2*i**3 + 0 = 0.
-1, 0, 1
Let h(o) = 5*o**5 - 16*o**4 + 10*o**2 + o. Let y(q) = 15*q**5 - 47*q**4 + 30*q**2 + 2*q. Let w(t) = 17*h(t) - 6*y(t). Factor w(b).
-5*b*(b - 1)**3*(b + 1)
Let g(t) be the second derivative of 0 - 1/5*t**4 - 1/75*t**6 + 4/15*t**3 + 4*t + 2/25*t**5 - 1/5*t**2. Determine l so that g(l) = 0.
1
Let t(s) = -s + 1. Let h(p) = -p**2 - 4*p + 5. Let z(l) = h(l) - 5*t(l). Factor z(k).
-k*(k - 1)
Let q(p) be the second derivative of -p**6/1260 - p**3 + 2*p. Let m(r) be the second derivative of q(r). Find s, given that m(s) = 0.
0
Let j = 12 - -8. Suppose 2*v + 32*v**2 - j*v + 4 - 10*v**3 - 8*v**2 = 0. What is v?
2/5, 1
Let q(w) be the second derivative of -1/27*w**3 + 6*w + 0 + 0*w**2 + 1/54*w**4. Suppose q(u) = 0. What is u?
0, 1
Let b(f) be the third derivative of f**5/120 - f**4/24 + 3*f**2. Solve b(m) = 0 for m.
0, 2
Let r(p) be the first derivative of p**8/420 + 2*p**7/105 + p**6/18 + p**5/15 - 7*p**3/3 + 3. Let o(b) be the third derivative of r(b). Factor o(s).
4*s*(s + 1)**2*(s + 2)
Let u(l) be the first derivative of -2*l**3/9 + 2*l/3 - 12. Determine g, given that u(g) = 0.
-1, 1
Factor 0 - 2/13*b**3 - 2/13*b**2 + 2/13*b**5 + 0*b + 2/13*b**4.
2*b**2*(b - 1)*(b + 1)**2/13
Let f(m) be the third derivative of -m**6/780 - 2*m**5/195 - 5*m**4/156 - 2*m**3/39 + 9*m**2. Factor f(t).
-2*(t + 1)**2*(t + 2)/13
Let g(b) be the first derivative of b**5 + 5*b**4/4 - 5*b**3/3 - 5*b**2/2 + 7. Let g(w) = 0. What is w?
-1, 0, 1
Let t be ((-1)/(-2))/(5/50). Suppose t*q - 20 = -0*q. Suppose -7*k - 2*k**2 + k - k**3 + 3*k**3 + 2*k**4 + q*k = 0. Calculate k.
-1, 0, 1
Suppose -2*y - 40 = -3*y. Let j be -3 - 2*(-68)/y. Suppose -j + 2*u - 2*u**3 + 8/5*u**4 - 6/5*u**2 = 0. What is u?
-1, 1/4, 1
Suppose 0 = -3*y - 6, 4*j - 2*j = -5*y - 6. Let b be (-6)/(-72)*(-16)/(-4). What is z in b*z**j + 0 - 1/3*z = 0?
0, 1
Solve -6/7*c + 3/7 + 3/7*c**2 = 0 for c.
1
Suppose -5*n + 15 = 5*z, 6*n - 2 = 8*n. Let k(a) be the first derivative of 0*a + 7/30*a**5 + z + 1/2*a**4 - 1/6*a**2 + 1/6*a**3. Factor k(d).
d*(d + 1)**2*(7*d - 2)/6
Let d be -2*1 + (14 - -3). Suppose -15 - 4*q + d + 4*q**2 - q**3 = 0. Calculate q.
0, 2
Let c(n) be the first derivative of 0*n**3 - 1/4*n**5 + 0*n**2 + 2 + 1/16*n**4 + 1/6*n**6 + 0*n. Factor c(f).
f**3*(f - 1)*(4*f - 1)/4
Let n(x) = 3*x + 3. Let i(h) = -4*h - 4. Let f(m) = 4*i(m) + 5*n(m). Let o(z) = -2*z**2 - 6*z - 4. Let j(g) = 10*f(g) - o(g). Find t such that j(t) = 0.
-1, 3
Let p = 15 - 10. Let i(b) be the first derivative of 0*b + 4/15*b**3 + 2 - 4/25*b**p + 0*b**2 - 1/3*b**6 + 1/2*b**4. Determine g so that i(g) = 0.
-1, -2/5, 0, 1
Suppose 3*k + k + 4*n = 32, 2*k + 3*n - 21 = 0. Factor k - u**2 + 3 + 2*u**2 + u**2 + 8*u.
2*(u + 1)*(u + 3)
Let o(u) be the third derivative of -1/90*u**5 + 0 + 0*u**3 + 0*u - 1/72*u**4 + 2*u**2. Find t such that o(t) = 0.
-1/2, 0
What is x in 0 - 6*x**3 + 0*x + 4/5*x**2 = 0?
0, 2/15
Let a(k) be the third derivative of k**7/210 - k**6/240 - k**5/60 + k**4/48 - 8*k**2. Factor a(s).
s*(s - 1)*(s + 1)*(2*s - 1)/2
Let p = -2 - -9. Let k = p - 7. What is a in 0*a + k + 1/2*a**3 - 1/2*a**2 = 0?
0, 1
Let w be 9/6*1 + -1. Solve 1/2*t**2 - w*t**4 - 1/2*t + 1/2*t**3 + 0 = 0 for t.
-1, 0, 1
Let z = 11 + -9. Let k(m) be the third derivative of 0*m**3 + 1/12*m**4 + 0*m + z*m**2 + 0 + 1/20*m**5. Let k(b) = 0. Calculate b.
-2/3, 0
Determine k, given that 8*k**2 + 0 + 4 - 15*k**2 - 12*k**2 + 18*k**4 - 3*k**3 = 0.
-2/3, 1/2, 1
Let t be -2*((-6)/(-4) + -4). Let s(r) be the first derivative of -1/9*r**6 + 0*r + 2/3*r**2 + 2/5*r**t - 1/6*r**4 + 3 - 2/3*r**3. Let s(a) = 0. Calculate a.
-1, 0, 1, 2
Let t = 8 - 8. Solve 1 - 10*u**3 + 9*u**2 + 25*u - 3 - 22*u + t*u**2 = 0.
-1/2, 2/5, 1
Factor -4/3*z**3 - 16/9*z + 0 - 2/9*z**4 - 8/3*z**2.
-2*z*(z + 2)**3/9
What is g in 2/17*g**2 - 4/17*g + 2/17 = 0?
1
Let n = 298 - 295. Factor 0 + 0*b**4 + 2/7*b**5 + 2/7*b - 4/7*b**n + 0*b**2.
2*b*(b - 1)**2*(b + 1)**2/7
Let i be (-3 + 5/2)/(3/(-2)). Solve 8/3 - 4*u - i*u**3 + 2*u**2 = 0.
2
Let n(k) be the third derivative of -k**6/24 - k**5/30 + 5*k**4/24 + k**3/3 - 6*k**2. What is l in n(l) = 0?
-1, -2/5, 1
Suppose -3*r - 15 = -5*o, 4*r + o = 3*o - 6. Let d = 30 - 148/5. What is n in r + d*n**4 - 2/5*n**5 + 2/5*n**3 + 0*n - 2/5*n**2 = 0?
-1, 0, 1
Let u be 52/13*(-2)/(-4). Suppose -2*g + 5*d + 5 = 0, -u*d + 5*d = -4*g - 3. Solve g - 1/5*j - 1/5*j**2 = 0.
-1, 0
Let u(w) be the first derivative of w**3/5 - 3*w**2/5 + 3*w/5 + 3. Let u(g) = 0. What is g?
1
Find g, given that 2*g**2 + 2*g + 8*g**4 + 14*g**3 + 2*g**3 + 8*g**2 = 0.
-1, -1/2, 0
Suppose -m + 3*q = 4*m, m - 4*q + 17 = 0. 