+ 1/3*c**2 + q*c**4 - c**3 = 0 for c.
0, 1/2, 1
Let k be (-156)/42 + 6 + 2/(-7). Determine c, given that 2/3*c**k - 2/3 + 0*c = 0.
-1, 1
Let f be -2*((-1)/(16/18))/3. Factor -f*d**3 - 5/4*d + 1/4 + 7/4*d**2.
-(d - 1)**2*(3*d - 1)/4
Let i(r) = -r**2 - r - 1. Let b be i(2). Let g = 10 + b. Let 3*w**2 + 3/2*w + 5/2*w**g + 3/4*w**4 + 1/4 = 0. What is w?
-1, -1/3
Let c be 235/45 + 4/(-18). Let m = c + -3. Factor -r**2 + 0*r**m + 0 - 1 - 2*r.
-(r + 1)**2
Let r be 33/9 - 2/(-6). Suppose 4 = 2*u - r. Factor 4*i**2 - u*i**2 + 3*i**2 - i**2.
2*i**2
Let g(x) = -x + 17. Suppose -87 + 27 = -4*q. Let n be g(q). Factor 2/3 - l - 4*l**n - 7/3*l**3.
-(l + 1)**2*(7*l - 2)/3
Determine v, given that 113*v + v**2 - 225*v - 4 + 112*v = 0.
-2, 2
Let d(g) = 14*g**5 + 14*g**4 - 6*g**3 - 14*g**2 - 8. Let r(i) = 9*i**5 + 9*i**4 - 4*i**3 - 9*i**2 - 5. Let l(c) = -5*d(c) + 8*r(c). Factor l(b).
2*b**2*(b - 1)*(b + 1)**2
Let s(w) be the first derivative of -3*w**5/5 + 3*w**4/2 - w**3 + 7. Find q, given that s(q) = 0.
0, 1
Let s(c) be the second derivative of -5*c**4/4 + 35*c**3/3 + 25*c**2/2 - 19*c. Determine n, given that s(n) = 0.
-1/3, 5
Suppose 0 = y + 2, -3*a - 4*y = -1. Factor -6*l**4 + 3/2*l**5 + 3/2*l - 6*l**2 + 0 + 9*l**a.
3*l*(l - 1)**4/2
Let d(h) be the third derivative of 0*h**3 + 2*h**2 + 1/150*h**5 + 0*h + 0 + 1/60*h**4. Factor d(y).
2*y*(y + 1)/5
Factor 10*p**4 - 5*p**4 - 4*p**4 - 3*p**3 - 4*p**4.
-3*p**3*(p + 1)
Let f(c) = c**2 - 3*c - 6. Let d be f(5). Solve -2*v**3 + d*v + 0*v**2 + 4*v**2 - 6*v**2 = 0 for v.
-2, 0, 1
Let p be 4/(-3) - (5 + 553/(-84)). Find y, given that 1/2 - 1/4*y**3 - 1/2*y**2 + p*y = 0.
-2, -1, 1
Let p(n) be the first derivative of n**6/210 + 4*n**5/105 + 5*n**4/42 + 4*n**3/21 - n**2/2 - 2. Let l(g) be the second derivative of p(g). Factor l(b).
4*(b + 1)**2*(b + 2)/7
Let z(t) = -t - 7. Let l be z(-10). Determine h so that 7*h**2 - 16*h**4 - 17*h**2 + 1 + 7 - l*h**5 - 27*h**3 + 12*h = 0.
-2, -1, 2/3
Let i(j) = j**3 - 10*j**2 - j + 21. Let h(k) = k**3 - 5*k**2 - k + 11. Let p(u) = 11*h(u) - 6*i(u). Factor p(t).
5*(t - 1)*(t + 1)**2
Let r(k) = -k**3 + 2*k**2 + 3*k - 4. Let m be r(2). Find y such that -2/3*y**5 - 2/3 - 4/3*y**2 - 4/3*y**3 + m*y + 2*y**4 = 0.
-1, 1
Let l(d) be the third derivative of d**6/360 - d**5/45 + 5*d**4/72 - d**3/9 - 20*d**2. Find p such that l(p) = 0.
1, 2
Determine m so that 14*m**2 - 1 - 1 - 4*m + 3*m - 8*m**3 - 3*m = 0.
-1/4, 1
Let i(w) be the first derivative of w**5/240 + w**4/48 + 3*w**2/2 + 3. Let s(d) be the second derivative of i(d). Find b, given that s(b) = 0.
-2, 0
Let n = -9 + 16. Let m = n - 4. Factor -10*f + 3*f**2 - 1 - 3*f**4 + f**2 + 12*f - 2*f**m.
-(f - 1)*(f + 1)**2*(3*f - 1)
Let v be (15/(-10))/(9*-1). Let a(t) be the second derivative of 4*t**2 + t + 0 + v*t**4 - 4/3*t**3. Factor a(h).
2*(h - 2)**2
Let p(q) be the third derivative of -5*q**8/336 + q**6/12 - 5*q**4/24 - 9*q**2. Solve p(y) = 0 for y.
-1, 0, 1
Let b be (-9)/6 - 102/(-4). Factor 9*a**3 - 4*a**2 - b*a**4 + 0*a**2 + 9*a**3 + 10*a**5.
2*a**2*(a - 1)**2*(5*a - 2)
Let m(i) be the third derivative of 1/12*i**4 - 1/60*i**5 + 0*i**3 + 0 - 1/60*i**6 + 1/210*i**7 - 2*i**2 + 0*i. Factor m(b).
b*(b - 2)*(b - 1)*(b + 1)
Let o = -11 - -16. Let a = 41 - 121/3. Factor a*f - 2/3*f**4 - 2/3 + 2/3*f**o + 4/3*f**2 - 4/3*f**3.
2*(f - 1)**3*(f + 1)**2/3
Suppose 0 = 2*q + 3 - 9. Suppose -p = q*p - 8. Factor -2*t**3 + t**3 + 2*t**3 + t + 0*t**3 + 2*t**p.
t*(t + 1)**2
Let h(u) be the second derivative of u**6/60 + 7*u**5/80 + 3*u**4/16 + 5*u**3/24 + u**2/8 + 15*u. Suppose h(i) = 0. What is i?
-1, -1/2
Find t such that 2/7*t**2 + 1/7*t**4 + 4/7*t - 3/7 - 4/7*t**3 = 0.
-1, 1, 3
Suppose 0 = 5*i - 6*x + 4*x + 6, 2*x = 6. Factor -3/4*u**2 + 3 + i*u.
-3*(u - 2)*(u + 2)/4
Factor 6*a**3 - 2*a**3 + 5*a - a**4 + 2 - 2*a**3 - 3*a**3 + 3*a**2.
-(a - 2)*(a + 1)**3
Let t(h) be the first derivative of -h**5/5 - h**4 - 5*h**3/3 - h**2 - 15. Factor t(c).
-c*(c + 1)**2*(c + 2)
Let k(y) be the first derivative of -9*y**5/80 + 7*y**4/16 - 2*y**3/3 + y**2/2 + y - 1. Let o(g) be the first derivative of k(g). Find q, given that o(q) = 0.
2/3, 1
Factor -12*d**2 + 90*d**3 + 0*d - 12*d - 93*d**3.
-3*d*(d + 2)**2
Determine i, given that -3/2*i + 0 - 9/8*i**2 + 3/8*i**3 = 0.
-1, 0, 4
Let d = 14 - 12. Let -2*i**5 + d*i**3 + 3*i**5 - 3*i**3 = 0. Calculate i.
-1, 0, 1
Let v(b) be the third derivative of b**8/280 + b**7/75 + b**6/60 + b**5/150 + b**2. What is z in v(z) = 0?
-1, -1/3, 0
Suppose r - 12 = -2*d, -r - r + 2*d = -18. Suppose r*b**5 + 4*b**3 + 0*b**3 - 14*b**5 = 0. What is b?
-1, 0, 1
Let y(x) = x**3 - 6*x**2 + 4*x - 1. Let f be y(5). Let g = f - -8. Determine w so that -2*w**2 + 2*w - 5*w + 5*w**g + 0*w**2 = 0.
0, 1
Let o(r) be the second derivative of r**7/84 + r**6/60 - r**5/40 - r**4/24 - 6*r - 2. What is h in o(h) = 0?
-1, 0, 1
Let u(c) be the first derivative of -c**3 + 3*c**2/2 - 4. Find k, given that u(k) = 0.
0, 1
Let i(t) be the second derivative of -t**6/150 - 3*t**5/50 - 13*t**4/60 - 2*t**3/5 - 2*t**2/5 + 15*t. Factor i(s).
-(s + 1)**2*(s + 2)**2/5
Find l, given that 2/11*l**3 - 14/11*l**2 + 32/11 + 16/11*l = 0.
-1, 4
Let p(t) = -t**2 - 5*t - 2. Suppose 6 = -3*b - 6. Let l be p(b). Solve l*c**2 - 5*c**4 - 4*c**3 - 8*c**3 - 8*c**5 + 23*c**4 = 0 for c.
0, 1/4, 1
Suppose 3/2*q**3 + 0*q + 0 + 3/2*q**2 = 0. What is q?
-1, 0
Let l = 374 + -374. Let l + 3/2*u - 1/2*u**2 = 0. What is u?
0, 3
Let r be ((-7)/3 - (0 - 3))/4. Let a(h) be the second derivative of 2*h**2 + 1/3*h**3 + h - r*h**4 + 0. Find o such that a(o) = 0.
-1, 2
Let d(x) be the second derivative of -x**8/3360 + x**7/630 + x**4/12 - 4*x. Let j(r) be the third derivative of d(r). Factor j(h).
-2*h**2*(h - 2)
Let w(s) = -s**2 + s - 1. Let r be -2 + 1 + (-12)/(-2). Let h(c) = 3*c + 9 - r*c + 0*c. Let n(z) = 2*h(z) + 14*w(z). Find v, given that n(v) = 0.
-2/7, 1
Let x be (126/(-45))/(6/(-10)) - 2. Factor -2/9*u**3 + 16/9 + 4/3*u**2 - x*u.
-2*(u - 2)**3/9
Let x(o) be the third derivative of -o**5/90 - o**4/12 + 18*o**2. Let x(y) = 0. Calculate y.
-3, 0
Let q(h) = -14*h**2 - 28*h - 14. Let y(a) = -2*a**2 - 4*a - 2. Let w(b) = -6*q(b) + 44*y(b). Factor w(i).
-4*(i + 1)**2
Let i be 2 - ((-1 - 1) + 2). Let 5 - 3*g**3 + 0*g**i - 2 + 3*g - 3*g**2 = 0. What is g?
-1, 1
Let m = 7 - 4. Suppose 3*a = 4*a - 3. Solve -d**3 + 2*d**a - 1 - 3*d**2 + 0*d**2 + m*d = 0.
1
Let l(f) be the first derivative of 2*f**3/21 - f**2/7 - 4*f/7 + 15. Let l(m) = 0. What is m?
-1, 2
Let l(t) = -5*t**3 - 4*t**2. Let y(k) = 11*k**3 + 9*k**2. Let a(h) = -13*l(h) - 6*y(h). Let a(m) = 0. What is m?
-2, 0
Let k(g) = -4*g**2 + 24*g - 36. Let x(n) = 2*n**2 - 12*n + 18. Let t(o) = -2*k(o) - 5*x(o). Let t(m) = 0. Calculate m.
3
Let i(y) be the first derivative of -y**3/30 + 16. Find w, given that i(w) = 0.
0
Let t(l) be the second derivative of -32*l**6/15 - 8*l**5 - 11*l**4 - 20*l**3/3 - 2*l**2 + 4*l - 9. Let t(y) = 0. Calculate y.
-1, -1/4
Let z(m) be the first derivative of -m**4/16 - m**3/4 - m**2/4 - 34. Let z(k) = 0. What is k?
-2, -1, 0
Let l(i) be the second derivative of -i**5/4 + 5*i**4/3 - 10*i**3/3 - 13*i. Factor l(o).
-5*o*(o - 2)**2
Factor 4/11 + 2/11*z**3 + 6/11*z**2 - 2/11*z**4 - 10/11*z.
-2*(z - 1)**3*(z + 2)/11
Let r(d) = -15*d**3 - 13*d**2 + 2*d + 13. Let i(y) = -7*y**3 - 6*y**2 + y + 6. Let n(c) = -13*i(c) + 6*r(c). Find s, given that n(s) = 0.
-1, 0, 1
Let d(f) = 3*f**2 + 51*f + 50. Let k be d(-16). Suppose -2/9*r + 2/9*r**k - 2/9 + 2/9*r**3 = 0. What is r?
-1, 1
Let p(w) = 10*w**3 - 9*w**2 - 11*w - 11. Let g(y) = 2*y**3 - 2*y**2 - 2*y - 2. Let j(s) = 22*g(s) - 4*p(s). Factor j(f).
4*f**2*(f - 2)
Let p(r) be the second derivative of -49*r**5/50 - 28*r**4/5 + 36*r**3/5 - 16*r**2/5 - 12*r. Factor p(i).
-2*(i + 4)*(7*i - 2)**2/5
Solve -3/2*h**2 - 1/2 - 1/2*h**3 - 3/2*h = 0.
-1
Let d(w) be the third derivative of w**8/784 - w**7/1470 - 3*w**6/280 + 3*w**5/140 - w**4/84 + 8*w**2. Let d(c) = 0. What is c?
-2, 0, 1/3, 1
Let b(u) be the first derivative of u**6/21 - 2*u**5/7 + 5*u**4/7 - 20*u**3/21 + 5*u**2/7 - 2*u/7 + 6. Factor b(q).
2*(q - 1)**5/7
Let d(s) be the third derivative of -s**5/60 + 17*s**2. Determine y, given that d(y) = 0.
0
Let c be ((-1)/(-3))/(-5 - -10). Let o(m) be the first derivative of -c*m**3 + 3/10*m**2 - 2/5*m - 