e third derivative of d**5/45 + d**4/72 - d**3/6 + 2*d**2. Solve i(o) = 0.
-1, 3/4
Let g(z) = -z**3 + 4*z**2 + z - 2. Let w be g(4). Let r = 2 - w. Factor r*q - 6*q**4 - 4/3*q**2 - 6*q**3 + 0.
-2*q**2*(3*q + 1)*(3*q + 2)/3
Let t = -1 - -4. Determine c, given that -c - 14*c**4 + 12*c**4 - 6*c**2 + t*c**3 + 3*c**3 + 3*c = 0.
0, 1
Factor 1/2*p**2 - 3 + 1/2*p.
(p - 2)*(p + 3)/2
Let i(c) = -c**4 + c**3 + c - 1. Let x(m) = -5*m**3 - 5*m**2 - 3*m + 1. Let z(u) = -5*i(u) - 5*x(u). Solve z(b) = 0 for b.
-2, -1, 0
Let y(q) be the first derivative of -1/4*q**2 + 1/12*q**3 + 1/4*q + 2. Find p such that y(p) = 0.
1
Suppose 3*z - 4*y = 10, 4*z + 2*y + 2*y = 4. Factor 6/7*j**z + 0 - 2/7*j.
2*j*(3*j - 1)/7
Let n be 10/(-4)*(1 - (-55)/(-25)). Let x(p) be the third derivative of -1/84*p**4 + p**2 + 0*p + 0*p**n - 1/210*p**5 + 0. Factor x(w).
-2*w*(w + 1)/7
Suppose 4*n - 7*n + 4*a - 14 = 0, -3*a = -5*n - 5. Solve 3/4*j - 3/2*j**n - 3/4*j**3 + 3/2 = 0.
-2, -1, 1
Let b(q) = 3*q. Let l be b(2). Let h be (2 - 5)*(-2)/l. Let 8*m**2 - 3 + 4 - 10*m + h = 0. What is m?
1/4, 1
Let y(x) be the second derivative of -x**6/50 + 3*x**5/25 - x**4/5 - 12*x. Factor y(a).
-3*a**2*(a - 2)**2/5
Suppose 3*z = -0*z. Determine f so that -1/3*f**2 - 1/3*f**3 + 1/3*f**5 + 0*f + 1/3*f**4 + z = 0.
-1, 0, 1
Let k(b) be the second derivative of -b**6/180 + b**5/60 - b**3/18 + b**2/12 + 3*b. Find u, given that k(u) = 0.
-1, 1
Factor 6/5 - 4/5*j - 2/5*j**2.
-2*(j - 1)*(j + 3)/5
Let s(k) = -2*k + 9. Let u be s(7). Let y = u - -9. What is h in 14*h**5 + 3*h**3 + h**3 + 7*h**4 - 25*h**y = 0?
0, 2/7, 1
Let t(a) be the third derivative of 0 + 3*a**2 + 0*a**3 - 1/180*a**6 + 0*a**5 - 11/630*a**7 + 0*a + 0*a**4 - 5/336*a**8. Find b such that t(b) = 0.
-2/5, -1/3, 0
Let w(b) be the second derivative of 2*b**6/15 - b**4 + 4*b**3/3 + 21*b - 2. Factor w(y).
4*y*(y - 1)**2*(y + 2)
Suppose 10/7*t**2 - 4/7 - 2*t + 8/7*t**3 = 0. What is t?
-2, -1/4, 1
Let r(d) be the second derivative of 0*d**3 + 1/40*d**5 + 1/60*d**6 - 1/24*d**4 - 1/84*d**7 + 0 + 0*d**2 + 4*d. Factor r(a).
-a**2*(a - 1)**2*(a + 1)/2
Suppose 4 = p + 2. Suppose -t**5 + 0*t**p - 2*t**4 + 3*t**5 - 4*t**4 - 2*t**2 + 6*t**3 = 0. What is t?
0, 1
Let q(y) = -3*y**2 - 2*y - 1. Let i(n) = 4*n**2 + 2*n + 1. Let p(f) = 5*i(f) + 6*q(f). Let d be p(2). Factor 2/9*z + 0 - 2/9*z**d - 2/9*z**2 + 2/9*z**4.
2*z*(z - 1)**2*(z + 1)/9
Factor -1/8*q**3 + 0 + 0*q - 1/4*q**2 + 1/4*q**4 + 1/8*q**5.
q**2*(q - 1)*(q + 1)*(q + 2)/8
Let c(v) = 4*v**3 + 5*v**2 - 2*v + 2. Let h(p) = p**3 + p**2 - p. Let d(i) = 3*c(i) - 15*h(i). Solve d(y) = 0 for y.
-1, 2
Factor 3/2 - v - 1/2*v**2.
-(v - 1)*(v + 3)/2
Let b(g) be the second derivative of 1/3*g**2 - 4*g + 5/18*g**3 + 1/60*g**5 + 0 + 1/9*g**4. Factor b(q).
(q + 1)**2*(q + 2)/3
Let g = 2/21 + 74/105. Factor g - 2*o**2 + 6/5*o.
-2*(o - 1)*(5*o + 2)/5
Let k(w) be the second derivative of w**5/90 - w**4/54 - 5*w**3/27 - w**2/3 - 13*w. Let k(d) = 0. Calculate d.
-1, 3
Let w(i) be the first derivative of i**6/36 - i**5/15 - i**4/8 + 4*i**3/9 - i**2/3 - 20. Determine u, given that w(u) = 0.
-2, 0, 1, 2
What is c in 6*c**3 - 2*c**3 + 28*c**2 - 4*c - 173 - 4*c**4 + 149 = 0?
-2, -1, 1, 3
Let b(t) be the second derivative of -5*t**4/12 + 13*t**3/6 + 3*t**2 - 9*t. Determine m, given that b(m) = 0.
-2/5, 3
Suppose -2*k**5 - 6*k**4 + k**2 + 2*k**2 + 5*k**2 = 0. What is k?
-2, 0, 1
Let r be ((-4)/8)/(1 + 0)*-6. Factor 0*z - 2/3*z**r + 0*z**2 + 0.
-2*z**3/3
Let n(d) be the first derivative of -3*d**5/10 + d**3 - 3*d/2 + 1. Factor n(u).
-3*(u - 1)**2*(u + 1)**2/2
Find o, given that -2/7*o**2 - 8/7 - 8/7*o = 0.
-2
Let c(a) be the third derivative of a**5/330 + a**4/66 - 6*a**2. Find r such that c(r) = 0.
-2, 0
Let z = -56 - -58. Let -3/4*y**z + y - 1/4 = 0. What is y?
1/3, 1
Suppose 3*k - 1 = -5*p, -7 + 20 = 4*k - 5*p. Factor -k*h**4 + h**3 + 0*h**2 - 3*h**2 + 4*h**2.
-h**2*(h - 1)*(2*h + 1)
Suppose y + 39 = 2*n, -2*n - y = 2*y - 43. Let i be (n/15)/(-4)*-15. Determine d, given that 2/7 + 2/7*d**4 + 4/7*d**3 - 4/7*d**2 - 2/7*d**i - 2/7*d = 0.
-1, 1
Let y = -13 + 17. Let z(f) = -3*f**3 + 8*f**2 + 3*f - 8. Let o(a) = a**2 - 1. Let p(v) = y*z(v) - 36*o(v). Determine r, given that p(r) = 0.
-1, -1/3, 1
Let r(y) be the first derivative of -2*y**3/9 - y**2/3 + 4*y/3 + 21. Factor r(x).
-2*(x - 1)*(x + 2)/3
Suppose -3 = 3*v + 6. Let q be v/(-1 - -4) + 1. Suppose -2*f**2 + 4*f**2 + q*f**2 = 0. Calculate f.
0
Let u(y) be the second derivative of -y**6/135 + y**5/30 - 6*y. Suppose u(q) = 0. Calculate q.
0, 3
Let j(w) = -6*w**2 - 7*w - 8. Let k(l) = l**2 + l + 1. Let a(t) = -t**3 - t**2 + t + 6. Let v be a(-3). Let s(u) = v*k(u) + 3*j(u). Factor s(c).
3*(c - 1)*(c + 1)
Let n(l) = 4*l**2 + 2. Let a be 14 + (-2 - -1) + -2. Let d = a - 17. Let x(h) = -3*h**2 - 1. Let s(m) = d*x(m) - 4*n(m). Factor s(i).
2*(i - 1)*(i + 1)
Factor 0*u + 0 + 1/4*u**3 + 0*u**4 - 1/4*u**5 + 0*u**2.
-u**3*(u - 1)*(u + 1)/4
Let j(w) be the third derivative of -w**6/180 - w**5/90 + w**4/9 + 4*w**3/9 + 24*w**2. Factor j(g).
-2*(g - 2)*(g + 1)*(g + 2)/3
Let a(c) be the second derivative of -c**7/70 - c**6/25 + c**4/10 + c**3/10 - 12*c. Determine m so that a(m) = 0.
-1, 0, 1
Let n be (6 + -5)/(1/2). Suppose -1 = -3*u + 8. Let -n*d**2 + d**3 + 0*d**3 - d - 2*d**u = 0. What is d?
-1, 0
Let f(c) = -c**3 + 3*c**2 + c - 1. Let n be f(3). Suppose -2*m - n = -6. Find v, given that 0 + 2/5*v**m - 4/5*v = 0.
0, 2
Let d(a) be the second derivative of -a**4/36 + a**2/6 + 10*a. Solve d(c) = 0 for c.
-1, 1
Let h(f) be the first derivative of -f**6/6 - 2*f**5/5 + 3*f**4/4 - 16. Solve h(j) = 0 for j.
-3, 0, 1
Determine z, given that -3/4*z - 1/2*z**2 + 0 - 1/4*z**5 + z**3 + 1/2*z**4 = 0.
-1, 0, 1, 3
Let t = -522 - -524. Factor 0 - d**t + 1/3*d**3 + 0*d.
d**2*(d - 3)/3
Let w = 798 - 2393/3. What is v in 1/2*v**4 + 1/6*v + 0 - 1/2*v**2 + 1/6*v**3 - w*v**5 = 0?
-1, 0, 1/2, 1
Suppose 0 = 2*b + 4*a - 20, -3*b = -b - 4*a + 4. Suppose 0 = b*f - 3 - 9. Factor 5*n**3 - 2*n**3 - 2*n - 4 - 4*n - n**f.
2*(n - 2)*(n + 1)**2
Let x(g) = -g**2 + 8*g + 12. Let f be x(11). Let p be (-14)/f + 2/(-6). Suppose p*r**2 - 1/3*r**3 + 0*r + 0 - 1/3*r**4 + 1/3*r**5 = 0. Calculate r.
-1, 0, 1
Let a(g) be the second derivative of g**7/14 - 3*g**6/5 + 39*g**5/20 - 3*g**4 + 2*g**3 + 3*g. Find z, given that a(z) = 0.
0, 1, 2
Let i(x) be the first derivative of x**7/105 + x**6/60 - x**5/30 - x**4/12 - 3*x**2/2 + 3. Let c(q) be the second derivative of i(q). Factor c(n).
2*n*(n - 1)*(n + 1)**2
Let m(i) be the first derivative of -i**5/5 - 2*i**4 - 6*i**3 - 8*i**2 - 6*i + 8. Let f(k) be the first derivative of m(k). Determine s so that f(s) = 0.
-4, -1
Let y = -9/77 + 617/4620. Let k(w) be the third derivative of 0 + 1/150*w**5 + 2*w**2 - y*w**4 + 0*w**3 + 0*w. Factor k(l).
2*l*(l - 1)/5
Let r(i) be the first derivative of -i**3/9 - i**2/3 - 4. Let r(p) = 0. Calculate p.
-2, 0
Let k = 312 - 312. Factor -2/7*y**2 - 1/7*y + k - 1/7*y**3.
-y*(y + 1)**2/7
Factor -2/7*g**5 + 30/7*g - 40/7*g**2 + 0*g**4 - 8/7 + 20/7*g**3.
-2*(g - 1)**4*(g + 4)/7
Let d(o) = o - 4. Let r be d(4). Let b(s) be the third derivative of 1/90*s**5 + 1/9*s**3 + r*s + 0 + 2*s**2 - 1/18*s**4. Factor b(k).
2*(k - 1)**2/3
Let j = -19 - -34. What is g in g + j*g**2 - g - 13*g**2 = 0?
0
Let o(s) = s**2 - 4*s + 4. Let u be o(4). Suppose 6 = y - 2*j, 2*j = y + j - u. Let 2*c**y - 3*c**2 + 0*c + c = 0. What is c?
0, 1
Let w be 3 + 12/8*-2. Let q(z) be the third derivative of 0 - 2/3*z**3 + 1/12*z**4 + w*z + z**2 + 1/30*z**5. Determine r so that q(r) = 0.
-2, 1
Suppose 4*i = -2*k + 24, -3*k + 5*i - 19 = -0*k. Solve -1/2*z**k + 0 + z = 0 for z.
0, 2
Let f(n) be the third derivative of n**5/90 + n**4/36 - 2*n**3/9 - 4*n**2 - 2. Determine r, given that f(r) = 0.
-2, 1
Let l(r) be the second derivative of -r**4/4 - r**3 - 3*r**2/2 + r. Let l(n) = 0. Calculate n.
-1
Let v(k) = -4*k**2 - 10*k - 18. Let i(o) = -o + 1. Let x(n) = -6*i(n) - v(n). Solve x(j) = 0.
-3, -1
Let m(t) be the second derivative of -t**4/3 + 4*t**3/3 - 2*t**2 - 7*t. Factor m(i).
-4*(i - 1)**2
Let h(l) = -2*l**3 - 7*l**2 - 3*l + 2. Let y(u) = -5*u**2 - 7*u**2 + 2 + 0 - 2*u**3 - 4*u + 4*u**2. Let c(i) = 6*h(i) - 5*y(i). Find v such that c(v) = 0.
-1, 1
Let i(m) = 4*m**3 + 25*m**2 + 21*m - 3. Let s(q) = 28*q*