*c**3 + 2*c**3 + 7*c**3.
-3*c**3*(c - 3)
Let o(z) be the third derivative of -z**8/6720 - z**7/840 - z**5/20 + 3*z**2. Let y(a) be the third derivative of o(a). Factor y(l).
-3*l*(l + 2)
Let d(g) be the third derivative of g**2 + 1/300*g**5 + 0*g - 1/60*g**4 + 0 + 0*g**3. Factor d(y).
y*(y - 2)/5
Suppose 15*p = 4 - 4. Let u(m) be the third derivative of 1/60*m**4 - 1/150*m**5 + p*m - 2*m**2 + 0 + 0*m**3. Factor u(n).
-2*n*(n - 1)/5
Let s(f) be the second derivative of -f**6/180 - f**5/40 + f**3/9 - 16*f. Find t such that s(t) = 0.
-2, 0, 1
Let q(m) = 4*m**2 + 16*m + 21. Let y(r) = -20*r**2 - 80*r - 104. Let u(a) = 24*q(a) + 5*y(a). Determine o so that u(o) = 0.
-2
Let t(f) = 4*f**2 - 1. Let p be t(-1). Solve -2*k**2 - p*k**3 - 2*k**2 + k**2 = 0 for k.
-1, 0
Suppose -6 = -j - 3. Factor 3*y**4 + 3*y**4 - 3 + 3*y**5 + 3 + 3*y**j.
3*y**3*(y + 1)**2
Let w(g) = -4*g**3 - 18*g**2 - 32*g + 48. Let j(p) = 9*p**3 + 36*p**2 + 65*p - 95. Let a(q) = -2*j(q) - 5*w(q). What is u in a(u) = 0?
-5, 1
Let b(a) be the first derivative of 0*a**2 + 1/15*a**6 + 1 - a - 1/6*a**4 - 1/10*a**5 + 1/3*a**3. Let o(u) be the first derivative of b(u). Factor o(q).
2*q*(q - 1)**2*(q + 1)
Let d(w) = w**2 + w - 20. Let b be d(4). Let h(g) be the third derivative of b + 0*g**3 + 1/84*g**4 + g**2 + 0*g - 1/210*g**5. Factor h(r).
-2*r*(r - 1)/7
Let a(t) be the third derivative of 0*t - 1/300*t**6 - 2/15*t**4 + 0 + 4/15*t**3 - 2*t**2 + 1/30*t**5. Determine i so that a(i) = 0.
1, 2
Let c(u) be the third derivative of -u**6/120 - u**5/15 - u**4/24 - 2*u**2. Let h be c(-4). Let -8*p**3 - 7/2*p**h - p + 0 - 11/2*p**2 = 0. Calculate p.
-1, -2/7, 0
Let b(n) = -11*n**2 - 12*n - 6. Let w(u) = 3 - 2*u + 3*u + 5*u**2 + 5*u + u**2. Let k(a) = 3*b(a) + 5*w(a). Suppose k(g) = 0. What is g?
-1
Let f be (6 + 135/(-24))*(-8)/(-18). Let g(u) be the first derivative of -3 - 1/2*u + f*u**3 + 1/8*u**4 - 1/4*u**2. Factor g(p).
(p - 1)*(p + 1)**2/2
Let q = 552 - 4961/9. Let v = q - 1/9. Find a such that -2/3 + 0*a + v*a**2 = 0.
-1, 1
Find n, given that -9/5*n**3 - 7/5*n**2 + 0 - 1/5*n**5 - 2/5*n - n**4 = 0.
-2, -1, 0
Let z = -10 - -8. Let m be 3 + -1 + z - -3. Factor 0 + 0*u**2 + 2/11*u**m - 2/11*u.
2*u*(u - 1)*(u + 1)/11
Let h be ((-15)/(-5))/(39/14). Determine n so that 6/13*n - 24/13*n**2 + 4/13 + h*n**3 = 0.
-2/7, 1
Let r(g) be the third derivative of g**6/150 - g**5/15 - g**4/30 + 2*g**3/3 + 14*g**2. Solve r(t) = 0 for t.
-1, 1, 5
Factor -5/4 - 1/8*b**2 + 11/8*b.
-(b - 10)*(b - 1)/8
Factor 0*p**2 - 2*p**2 + 3*p**4 + 7*p**2 - 14*p**2 + 6*p**3.
3*p**2*(p - 1)*(p + 3)
Let z(r) be the third derivative of 0*r - 3*r**2 - 1/1155*r**7 + 0 + 0*r**3 + 1/330*r**5 + 1/660*r**6 - 1/1848*r**8 + 0*r**4. Factor z(t).
-2*t**2*(t - 1)*(t + 1)**2/11
Let o(h) = h**3 + h**2 - 2*h. Let v(t) = 2*t**3 + 3*t**2 - 5*t. Let u(a) = -15*o(a) + 6*v(a). Suppose u(b) = 0. What is b?
0, 1
Let y = 121/60 + -2. Let l(o) be the third derivative of 0 + 1/525*o**7 + 0*o + 1/15*o**3 - 1/840*o**8 - 1/75*o**5 + 1/150*o**6 - 2*o**2 - y*o**4. Factor l(j).
-2*(j - 1)**3*(j + 1)**2/5
Let s = -5 - -8. Suppose 2*x + 0*x - 6 = 0. Factor s*f + 5*f - x*f**2 - 6*f - 5*f**3.
-f*(f + 1)*(5*f - 2)
Let y(n) = n**2 + 5*n - 10. Let l be y(-7). Suppose j + j = l. Factor -7*z + 12 + 11*z + 8*z + 3*z**j.
3*(z + 2)**2
Let y be -4*(50/(-120))/(2/6). Let k(g) be the third derivative of 1/140*g**y + 0*g**3 + 0*g + 1/70*g**6 + 0 - 3*g**2 + 0*g**4. Factor k(i).
3*i**2*(4*i + 1)/7
Suppose -4*l + 5*l + 4*q = 9, 3*q + 22 = 5*l. Suppose -8 = -l*n + 2. What is f in -2*f + 2*f - 2 + n*f**2 = 0?
-1, 1
Let z = -397 + 35731/90. Let k(b) be the second derivative of 0*b**4 + 1/6*b**2 + b + 1/9*b**3 + 0 - z*b**6 - 1/30*b**5. Factor k(r).
-(r - 1)*(r + 1)**3/3
Suppose 3*n - 2*b = 11, 2*n - 5*b + 1 = 12. Let -18*r**2 - n + 1 - 4*r + 16*r**2 = 0. What is r?
-1
Let i(g) be the second derivative of -g**4/2 - g**3/2 + 25*g. Find q such that i(q) = 0.
-1/2, 0
Let s = 6099/9932 - -1/764. Determine t, given that -10/13*t - 2/13*t**3 + s*t**2 + 4/13 = 0.
1, 2
Let 2/11*i**2 + 0 + 10/11*i**4 + 4/11*i - 16/11*i**3 = 0. What is i?
-2/5, 0, 1
Let r(w) = -15*w**5 - 12*w**4 + 15*w**3 + 12*w**2 - 9*w - 9. Let x(n) = -8*n**5 - 6*n**4 + 8*n**3 + 6*n**2 - 5*n - 5. Let u(z) = -5*r(z) + 9*x(z). Factor u(m).
3*m**2*(m - 1)*(m + 1)*(m + 2)
Determine u, given that 1/4 + u - 2*u**3 - 1/2*u**2 + 1/4*u**4 + u**5 = 0.
-1, -1/4, 1
Let x(c) = c**3 + c**2 - 9*c + 16. Let r be x(-4). Find z, given that -2/7*z**5 + 4/7*z**2 - 4/7*z**3 + 2/7 - 6/7*z**r + 6/7*z = 0.
-1, 1
Let y(g) be the second derivative of -3*g**5/20 - g**4 - 3*g**3/2 + 38*g. Solve y(j) = 0.
-3, -1, 0
Let 22/3*r + 26/3*r**2 - 32/3*r**4 - 10/3 - 46/3*r**3 + 8/3*r**5 = 0. What is r?
-1, 1/2, 5
Let n be (-4)/5*-2*(-3)/(-24). Let i(u) be the second derivative of 3*u - 1/6*u**4 - 1/25*u**5 + 0 - 4/15*u**3 - n*u**2. Let i(y) = 0. What is y?
-1, -1/2
Let i be 2*(-3 + 36/8). Factor 9*v**3 + 2*v + i*v**4 + v - v**2 + 10*v**2.
3*v*(v + 1)**3
Let a(c) be the first derivative of c**6/39 - 6*c**5/65 + c**4/13 + 12. Find w such that a(w) = 0.
0, 1, 2
Let v(o) be the first derivative of -o**6/21 - 8*o**5/35 - 3*o**4/7 - 8*o**3/21 - o**2/7 + 4. Solve v(s) = 0.
-1, 0
Let j(x) be the second derivative of -x**7/21 - x**6/5 - x**5/5 + x**4/3 + x**3 + x**2 - 8*x. Factor j(w).
-2*(w - 1)*(w + 1)**4
Suppose 0 = -2*p + 5*p - 9. Let g(b) = -b**3 + 2*b**2 + 3*b + 1. Let f be g(p). Let -9/2*m**2 + 11/2*m - f = 0. What is m?
2/9, 1
Suppose -2*c + 2*c = -2*c. Let q(p) be the third derivative of 1/30*p**5 - 1/4*p**4 + 0*p + 2/3*p**3 - p**2 + c. Factor q(s).
2*(s - 2)*(s - 1)
Determine w, given that -3*w**2 + 9/2*w**3 + 0*w - 3/2*w**4 + 0 = 0.
0, 1, 2
Let c = 2 + 0. Factor 6 - 4 - 3*n**c + n**2.
-2*(n - 1)*(n + 1)
Let i be 48/(-408) - 72/(-34). Factor 0*s**i + 0*s + 0 - 1/3*s**4 + 1/3*s**3.
-s**3*(s - 1)/3
Let u(r) be the third derivative of r**6/240 + r**5/30 + 5*r**4/48 + r**3/6 - 26*r**2. Factor u(f).
(f + 1)**2*(f + 2)/2
Let u(v) = -37*v - 1. Let f be u(-1). Let q be 32/63 + (-8)/f. Let 2/7*n**2 - q*n**3 - 2/7*n**4 + 0 + 2/7*n = 0. Calculate n.
-1, 0, 1
Let x(s) = s**2 - 14. Let q be x(4). Suppose -2/5*z**q + 0*z + 0 + 2/5*z**3 = 0. What is z?
0, 1
Let w be (9/(108/56) - 4)/10. Let m(x) be the first derivative of w*x**5 + 0*x + 0*x**2 - 2 - 1/12*x**4 - 1/9*x**3 + 1/18*x**6. Factor m(z).
z**2*(z - 1)*(z + 1)**2/3
Determine l, given that 8*l**2 + 7*l + 4*l**3 - 5*l - 2*l = 0.
-2, 0
Let l(k) be the first derivative of k**8/840 + k**7/210 - k**6/180 - k**5/30 + k**3/3 - 3. Let u(w) be the third derivative of l(w). Find b such that u(b) = 0.
-2, -1, 0, 1
Let r(c) be the first derivative of -c**8/560 + c**7/140 - c**5/20 + c**4/8 + c**3 - 7. Let n(j) be the third derivative of r(j). What is p in n(p) = 0?
-1, 1
Let h = 85 + -83. Determine c so that -2/3*c + 0 - 8/3*c**h - 7/6*c**3 = 0.
-2, -2/7, 0
Let w(q) be the third derivative of -1/24*q**4 - 4*q**2 + 0*q**3 + 0 - 1/30*q**5 + 0*q - 1/120*q**6. Determine l, given that w(l) = 0.
-1, 0
Let h(b) be the third derivative of b**7/525 - b**6/75 + b**5/30 - b**4/30 + 40*b**2. Determine u so that h(u) = 0.
0, 1, 2
Factor -12*n - 6 - 10/3*n**2.
-2*(n + 3)*(5*n + 3)/3
Let s be ((-4)/5)/((-4)/10). Suppose -4*p + 5*n + 31 = 0, p - 2*p - s*n + 11 = 0. Factor -2*b - p + 9 + 2*b**2.
2*b*(b - 1)
Let b(z) be the second derivative of 4*z + 1/12*z**4 + 0*z**3 - 1/42*z**7 + 0 + 0*z**2 - 1/30*z**6 + 1/20*z**5. Let b(g) = 0. What is g?
-1, 0, 1
Let p(x) = -6*x**2 + 1. Let v(i) be the first derivative of -7*i**3/3 + i + 2. Let t(k) = -6*p(k) + 5*v(k). Solve t(l) = 0 for l.
-1, 1
Let g(v) = -v**2 - 2*v - 2. Let y(l) = 2*l**2 + 7*l + 7. Let u(h) = 7*g(h) + 2*y(h). Suppose u(s) = 0. Calculate s.
0
Let f(c) = -7*c**2 - 15. Let g(j) = -3*j**2 - 7. Let h(m) = -2*f(m) + 5*g(m). Let u(s) = 1. Suppose -25 = 2*q - 7*q. Let r(w) = q*u(w) + h(w). Solve r(t) = 0.
0
Let q(d) be the third derivative of d**5/540 - d**4/108 + d**3/54 - 8*d**2. Factor q(m).
(m - 1)**2/9
Let l(f) be the second derivative of 2*f**6/15 - 9*f**5/20 + f**4/2 - f**3/6 - 17*f. Factor l(p).
p*(p - 1)**2*(4*p - 1)
Let w(m) = 4*m**3 - 4*m**2 - 8*m + 4. Let t(v) = 4*v**3 - 5*v**2 - 9*v + 3. Let j(k) = -4*t(k) + 3*w(k). Factor j(u).
-4*u*(u - 3)*(u + 1)
Let 3/4*w**4 + 0*w + 0*w**2 + 0 + 