nd r such that -4*r**3 + 2*r**4 - 6*r**4 + 12*r**2 - 8 + 0*r + 4*r = 0.
-2, -1, 1
Suppose 6*f = -0*f + 4*f. Let y(s) be the third derivative of 3*s**2 + 0*s**3 + 0 + 0*s**4 + 1/420*s**6 + f*s + 1/210*s**5. Suppose y(a) = 0. What is a?
-1, 0
Let p = -2384/9 - -266. Factor 14/9*c**2 - 4/9 - p*c.
2*(c - 1)*(7*c + 2)/9
Let a(z) be the third derivative of 0*z**3 - 1/8*z**6 + 0*z + 0*z**4 + 1/10*z**5 + 0 - 4*z**2 - 1/112*z**8 + 2/35*z**7. Factor a(b).
-3*b**2*(b - 2)*(b - 1)**2
Let l(n) = n**2 - 30*n + 200. Let f be l(20). Suppose 1/2*b**4 + 1/4*b - 1/4*b**5 + 0*b**3 - 1/2*b**2 + f = 0. Calculate b.
-1, 0, 1
Let g(j) be the first derivative of -j**3 - 9*j**2 - 24*j - 5. What is l in g(l) = 0?
-4, -2
Factor 18/7*y**2 + 0*y + 20/7*y**3 + 0 + 2/7*y**4.
2*y**2*(y + 1)*(y + 9)/7
Let l(k) be the third derivative of k**5/60 + k**4/3 + 8*k**3/3 + 7*k**2. Find a, given that l(a) = 0.
-4
Let l(t) be the first derivative of 4/11*t + 2/11*t**3 - 5/11*t**2 - 1. Factor l(g).
2*(g - 1)*(3*g - 2)/11
Let z(o) be the first derivative of o**6/18 + o**5/15 - 5*o**4/12 - 5*o**3/9 + 2*o**2/3 + 4*o/3 - 36. Determine d, given that z(d) = 0.
-2, -1, 1, 2
Let g(x) be the second derivative of x**10/22680 + x**9/7560 + x**8/10080 + x**4/4 + x. Let s(i) be the third derivative of g(i). Factor s(b).
2*b**3*(b + 1)*(2*b + 1)/3
Suppose -5*f = 3*h - 7, f - 5 = -3*f - 3*h. Let 1/2*o - 1/2*o**f + 0 = 0. What is o?
0, 1
Let q(d) = 2*d**3 + 6*d**2 - 7*d - 8. Let k be q(-7). Let v be 3*6/k*-3. Factor -4/13*l + v*l**2 + 0.
2*l*(l - 2)/13
Factor -2*f - 4*f - 7*f**2 + f + 2*f**2.
-5*f*(f + 1)
Let d(q) be the second derivative of -5/4*q**4 - 2*q + 0 + 9/5*q**5 - 1/10*q**6 - 2/7*q**7 - q**3 + 0*q**2. Let d(k) = 0. What is k?
-2, -1/4, 0, 1
Let i(h) be the third derivative of 1/270*h**6 + 0*h**3 + 0*h**4 + 0 + h**2 + 1/945*h**7 + 1/270*h**5 + 0*h. Find m, given that i(m) = 0.
-1, 0
Let a be (0 + 5)*(-9)/(-15). Let i = -1 + 6. What is r in i*r**2 - 8*r + 0*r**2 + 7*r**2 + 2*r**4 + 2 - 8*r**a = 0?
1
Find s, given that 70/3*s**2 - 100/3*s - 5*s**4 - 40/3 + 25/3*s**3 = 0.
-2, -1/3, 2
Let w(d) be the third derivative of d**5/60 + 5*d**4/12 + 25*d**3/6 + 7*d**2. Solve w(n) = 0.
-5
Determine b so that 0 + 6/7*b**4 - 1/7*b**5 + 10/7*b**2 - 3/7*b - 12/7*b**3 = 0.
0, 1, 3
Let i(h) be the second derivative of -10*h**7/21 + 8*h**6/5 + 11*h**5/5 - 26*h**4/3 - 8*h**3 + 16*h**2 - 10*h. Solve i(o) = 0.
-1, 2/5, 2
Let i be ((-150)/10)/5 - -1*5. Solve -1/5*o**i + 0*o + 1/5*o**3 + 0 = 0.
0, 1
Factor -31*k**3 + 6*k**3 + k**3 - 21*k**2 - 32*k + 4*k**4 + 69*k**2.
4*k*(k - 2)**3
Let y be (16/6)/((-16)/24) + 9. Let i(n) be the first derivative of 0*n**y + 0*n - 1 + 1/4*n**4 + 0*n**3 - 1/12*n**6 - 1/4*n**2. Determine c so that i(c) = 0.
-1, 0, 1
Let f(n) = -9*n**2 + 3*n - 11*n - n. Let u(g) = g - 4*g**2 - 5*g - g**2. Let o(y) = -4*f(y) + 10*u(y). Find k, given that o(k) = 0.
-2/7, 0
Find t, given that -4/3*t - 5/3 + 1/3*t**2 = 0.
-1, 5
Suppose -10 = 3*d + 2*d - 4*z, 8 = -4*d + 3*z. Let r be d - ((-12)/(-2))/(-3). Factor r - 4*f + 6*f**2 + 0 + 4 - 6*f.
2*(f - 1)*(3*f - 2)
Let k = -3 + 4. Let m(r) = 4*r - 1. Let t be m(k). Factor -4*n**t + 6*n**3 + 0*n**3 - 2*n.
2*n*(n - 1)*(n + 1)
Suppose -10/11*n**2 - 2/11*n**5 + 2/11*n**4 + 6/11*n**3 + 4/11*n + 0 = 0. What is n?
-2, 0, 1
Let q = -7393/13 - -569. Let k = -2/91 + q. Suppose -k*b**2 + 2/7 + 0*b = 0. What is b?
-1, 1
Suppose 2 = f + 5*g, -5*f + 3*f + 3*g + 4 = 0. Let w(k) be the first derivative of 3/4*k**4 - k**3 + 0*k + 0*k**f + 2. Factor w(u).
3*u**2*(u - 1)
Suppose 4*t - w - 8 = 4, 0 = 3*w - 12. Let d(s) be the third derivative of -1/12*s**t + 0*s - 2*s**2 + 1/30*s**5 + 0*s**3 + 0. Factor d(m).
2*m*(m - 1)
Let k(z) be the third derivative of z**7/420 + z**6/60 + z**5/24 + z**4/24 + 2*z**2. Factor k(m).
m*(m + 1)**2*(m + 2)/2
Let d = 3 + -1. Let m = 4 - 2. Find r such that 6*r + 4 + r**2 - 5*r**m - 4*r + 2*r**d = 0.
-1, 2
Suppose -5*h = 4*f + 3 + 13, -3*h - 12 = 3*f. Let q(a) = -2*a**3 - 2*a**2 + 2*a + 6. Let x(z) = 1 + 2 - 4. Let c(m) = f*x(m) - q(m). Factor c(d).
2*(d - 1)*(d + 1)**2
Let k(m) be the first derivative of -m**5/80 + m**2 - 3. Let y(j) be the second derivative of k(j). Factor y(l).
-3*l**2/4
Suppose -3*i - 54 = -12*i. Let q(v) be the third derivative of -1/36*v**i + 0*v**4 + 1/45*v**5 - 2*v**2 + 0 + 0*v**3 + 0*v. Factor q(y).
-2*y**2*(5*y - 2)/3
Let z(j) = -7*j**2 + 9*j + 6. Let r(c) = 2*c**2 - 3*c - 2. Let q(g) = -8*r(g) - 3*z(g). Let q(f) = 0. What is f?
-2/5, 1
Factor -16*f**2 + 188*f**3 - 12 + 48*f - 23*f**2 - 179*f**3.
3*(f - 2)**2*(3*f - 1)
Let j(w) be the second derivative of w**7/21 + 4*w**6/15 - 2*w**5/5 - 11*w**4/3 + w**3 + 18*w**2 - 42*w. Determine z, given that j(z) = 0.
-3, -1, 1, 2
Let c(p) = -p**2 + 11*p - 10. Let x be c(10). What is t in 1/2*t**3 + x + t**2 + 1/2*t = 0?
-1, 0
Let a = 533/2 + -263. Suppose -10/3*s**2 + 25/6*s**5 - a*s**3 - 2/3*s + 0 + 10/3*s**4 = 0. What is s?
-1, -2/5, 0, 1
Let a(f) be the third derivative of f**6/160 - f**5/40 + 6*f**2. Factor a(p).
3*p**2*(p - 2)/4
Let d(y) = -y**2 + 6*y + 2. Let o be d(6). Factor 2/5 - 4/5*f + 2/5*f**o.
2*(f - 1)**2/5
Let k(o) be the third derivative of 0 + 7/60*o**6 + o**2 + 8/15*o**5 + 11/12*o**4 + 0*o + 2/3*o**3. Let k(b) = 0. What is b?
-1, -2/7
Let s be 2*1 + (-16)/10. Let k(m) be the first derivative of 0*m + 0*m**3 + 1 - 3/2*m**4 + 4*m**2 + s*m**5. Factor k(l).
2*l*(l - 2)**2*(l + 1)
Let q be 12/(-2)*-1 - 1. Find j, given that -4*j**2 + j**2 - 3*j**q + 2*j**5 + j**3 + j**4 + 2*j**2 = 0.
-1, 0, 1
Factor -55*n + 231*n - 44*n**3 + 70*n**3 + 72*n**3 + 350*n**2 + 24.
2*(n + 3)*(7*n + 2)**2
Let q(y) be the third derivative of y**5/30 + y**4/6 + y**3/3 - y**2. Let n be q(-2). Factor 0 + 1/4*a**n + 0*a.
a**2/4
Suppose 3*l - 3 = 3*x, l = 4*x - 1 - 4. Factor -1/2*f - f**3 - 5/2*f**4 - 1/2 + l*f**2 + 3/2*f**5.
(f - 1)**3*(f + 1)*(3*f + 1)/2
Suppose -v - 5*h - 9 = -2*h, -2*h = 6. Solve -3*d + v*d**2 + 3*d**2 - 2*d - d = 0.
0, 2
Suppose -q + m + 5 = 0, q - 3*m = -0*q + 7. Let 3*w + 23 - q*w**2 - w - 2*w**3 - 19 = 0. What is w?
-2, -1, 1
Let j be 4/99 - ((-36)/(-44) - 1). What is s in 0*s**3 + 0*s - j + 4/9*s**2 - 2/9*s**4 = 0?
-1, 1
Let k(o) = 3*o**2 - 2. Let d(m) = 2*m**2 - 3. Let s(j) = 2*d(j) - 3*k(j). Factor s(t).
-5*t**2
Factor 0 + 2/19*g**5 - 6/19*g**4 + 4/19*g**3 + 0*g**2 + 0*g.
2*g**3*(g - 2)*(g - 1)/19
Let s(k) be the first derivative of 3/10*k**2 + 0*k - 5 + 1/15*k**3. Find c, given that s(c) = 0.
-3, 0
Let c(w) = w**3 - 4*w**2 - 10*w + 44. Let z be c(4). Solve -1/6 - 1/6*f**z + 0*f + 1/3*f**2 + 0*f**3 = 0 for f.
-1, 1
Let q(l) be the second derivative of -5*l**7/126 + 2*l**6/9 - l**5/4 - 5*l**4/9 + 10*l**3/9 + 16*l. Determine s so that q(s) = 0.
-1, 0, 1, 2
Factor -175*z**3 + 4*z - 2*z + 8*z**2 - 12 + 177*z**3.
2*(z - 1)*(z + 2)*(z + 3)
Let j(h) be the third derivative of 4*h**2 - 9/280*h**7 + 11/96*h**6 + 5/1344*h**8 + 0*h - 1/6*h**3 + 1/4*h**4 - 53/240*h**5 + 0. Factor j(y).
(y - 2)*(y - 1)**3*(5*y - 2)/4
Let n(y) be the second derivative of -y**7/273 + y**6/39 - 9*y**5/130 + 7*y**4/78 - 2*y**3/39 + 18*y. Let n(g) = 0. What is g?
0, 1, 2
Let k = 90/13 + -218/39. Find d such that -4/3*d - k - 1/3*d**2 = 0.
-2
Let n(k) be the first derivative of k**8/1512 + 2*k**7/945 + k**6/540 - k**2/2 - 1. Let y(w) be the second derivative of n(w). Factor y(o).
2*o**3*(o + 1)**2/9
Let o(h) be the first derivative of 13/12*h**3 + 9/20*h**5 - 15/8*h**4 - 2 + h + 5/2*h**2. Suppose o(x) = 0. What is x?
-1/3, 2
Let x be (10/(-15))/((-70)/6). Let u(f) be the first derivative of -x*f**5 + 0*f**4 - 2/7*f - 1 + 0*f**2 + 4/21*f**3. Factor u(y).
-2*(y - 1)**2*(y + 1)**2/7
Let r(p) be the first derivative of 1/22*p**4 + 3 + 0*p - 4/33*p**3 + 1/11*p**2. Let r(u) = 0. Calculate u.
0, 1
Solve 3*i + 7*i**2 - 18*i**2 + 5*i**2 + 3*i**3 = 0.
0, 1
Let b be 20/(-60) - (25/(-72) - 0). Let j(y) be the third derivative of -2*y**2 + 0*y**3 + 1/45*y**6 - 1/36*y**5 + b*y**4 + 0*y + 0 - 2/315*y**7. Factor j(g).
-g*(g - 1)*(2*g - 1)**2/3
Let c = -410 + 414. Let 4/5*p**c + 0*p**3 + 0 + 2/5*p**5 - 2/5*p - 4/5*p**2 = 0. What is p?
-1, 0, 1
Factor 0*q + 0*q**3 - 2/9*q**5 + 4/9*q**4 + 0 + 0*q**2.
-2*q**4*(q - 2)/9
Let v(w) = 4*w**5 + 6*w**4 + 4*w**3 + 2*w**2 - 2*w + 2. Let o(n) = -5*n**5 - 6*n**4 - 3*n**3 - 2*n**2 + 3*n 