t l(y) = 0.
-1, 0
Let y(o) be the first derivative of -o**4/4 + 11. Suppose y(r) = 0. What is r?
0
Let b(c) be the second derivative of -c**7/1260 + c**5/60 - c**4/4 - c. Let f(h) be the third derivative of b(h). Solve f(o) = 0 for o.
-1, 1
Let g(j) be the second derivative of 0*j**3 + 3/40*j**5 - 5*j + 0*j**2 + 1/12*j**4 + 0. Factor g(o).
o**2*(3*o + 2)/2
Determine g, given that 0*g + 0 - 1/6*g**4 - 1/3*g**2 + 1/2*g**3 = 0.
0, 1, 2
Suppose 13 = 5*d + 3*u, -3*d - 4*u - 26 = -5*d. Let -5*k**5 + k**d - 6*k**3 + 6*k**4 + k**5 + 2*k**2 + k**5 = 0. What is k?
0, 1
Factor -6*l**2 - 2 + 2 + 7*l + 3*l**3 - 4*l.
3*l*(l - 1)**2
Let m(w) be the second derivative of 7*w**6/10 + 27*w**5/20 - 33*w**4/4 + 11*w**3/2 + 9*w**2 - 21*w. Factor m(d).
3*(d - 1)**2*(d + 3)*(7*d + 2)
Let z(x) be the third derivative of -5*x**7/21 + x**6/3 + 7*x**5/10 - 5*x**4/3 + 4*x**3/3 + 32*x**2. Let z(y) = 0. What is y?
-1, 2/5, 1
Let s(w) = 3*w**2 + 17*w - 3. Suppose 12 = -4*d + 80. Let h(y) = y**2 + 6*y - 1. Let a(p) = d*h(p) - 6*s(p). Suppose a(u) = 0. What is u?
-1, 1
What is p in -1/6*p**4 + 0 - 2/3*p**2 + 2/3*p**3 + 0*p = 0?
0, 2
Suppose 5*w - 2*x - 28 = 0, -2*w - 4*x + 28 = -9*x. Let a(p) be the first derivative of p**w - 2*p**2 + 2 + 2/5*p**5 - 2*p + 0*p**3. Factor a(r).
2*(r - 1)*(r + 1)**3
Let i be -8 + 6 + (0 - 7). Let o be (6/(-27) + 0)*i. Suppose -1/3*j**3 + 1/3*j**o - 1/3 + 1/3*j = 0. Calculate j.
-1, 1
Let u(w) be the first derivative of -w**6/6 - 9*w**5/5 - 7*w**4/4 + 3*w**3 + 4*w**2 + 39. Find k, given that u(k) = 0.
-8, -1, 0, 1
Suppose 2*c - 12 = -c. Let i(v) be the first derivative of -1/5*v**2 + 0*v + 3 + 0*v**3 + 1/10*v**c. Determine s so that i(s) = 0.
-1, 0, 1
What is l in 0 + 0*l - 4/9*l**2 + 2/9*l**3 = 0?
0, 2
Let l(h) = 3*h - 6. Let k be l(3). Determine y so that -7*y**2 + 9*y + 25*y**2 - 12*y**3 + k + 3*y**4 - 21*y = 0.
1
Let j**3 + 2*j**2 + 2*j**3 + 10*j + 2*j**3 + 13*j**2 = 0. Calculate j.
-2, -1, 0
Let q(v) be the second derivative of 3*v**7/14 - 7*v**6/5 + 39*v**5/20 + 9*v**4/2 - 10*v**3 - 12*v**2 - v. Suppose q(m) = 0. What is m?
-1, -1/3, 2
Let h = 527/55 - 47/5. Let s(v) be the second derivative of -1/22*v**4 - h*v**2 + 1/110*v**5 - 5/33*v**3 + 0 + 1/165*v**6 + 2*v. Suppose s(i) = 0. Calculate i.
-1, 2
Determine z, given that -12/5*z + 0*z**2 + 8/5 + 4/5*z**3 = 0.
-2, 1
Let d(q) be the second derivative of q**5/10 + q**4/3 + q**3/3 - 11*q. Factor d(z).
2*z*(z + 1)**2
Let q(m) be the first derivative of 2*m**3 + 2*m + 1/2*m**4 + 3*m**2 - 1. Suppose q(w) = 0. What is w?
-1
Suppose 0*n - 20 = -5*q + n, 3*q + 11 = -4*n. Let d(f) be the first derivative of 2 - 1/2*f + 1/2*f**2 - 1/6*f**q. Factor d(s).
-(s - 1)**2/2
Let h(m) be the third derivative of 0*m**3 + 0 + 0*m - 1/60*m**5 - 3*m**2 - 1/24*m**4. Suppose h(q) = 0. Calculate q.
-1, 0
Factor -w**2 - 1/3*w**3 - w - 1/3.
-(w + 1)**3/3
Let q(l) = -10*l**4 - 25*l**3 - 45*l**2 - 15*l - 5. Let m(z) = 11*z**4 + 25*z**3 + 46*z**2 + 14*z + 6. Let b(o) = 5*m(o) + 6*q(o). Factor b(h).
-5*h*(h + 1)*(h + 2)**2
Let s(m) be the second derivative of -1/9*m**3 - m + 1/18*m**4 + 0 - 2/3*m**2. Factor s(v).
2*(v - 2)*(v + 1)/3
Let i(a) be the first derivative of a**8/1344 - a**6/480 + 5*a**2/2 + 4. Let w(h) be the second derivative of i(h). Factor w(t).
t**3*(t - 1)*(t + 1)/4
Suppose 0 = -0*v - v + 2. Let j = v - -2. Factor 0*u**2 + 0*u + 0 - 2/3*u**j - 4/3*u**3.
-2*u**3*(u + 2)/3
Let q = -29 - -29. Determine d, given that 1/2*d**3 + 1/2*d**2 + 0 + q*d = 0.
-1, 0
Suppose 3*m + 33 = 6*m. Factor 15*c**2 - 2*c - 2 + 5*c**3 - 2*c**5 - 2*c**4 - m*c**2 - c**3.
-2*(c - 1)**2*(c + 1)**3
Find y such that 15*y**5 + 9*y**2 - 24*y**3 + 6*y**2 - 3*y**4 - 3*y**2 - 18*y**4 = 0.
-1, 0, 2/5, 2
Suppose i + 2*l - 14 = -l, 3*i - 3*l - 18 = 0. Let z be 2/i*(-32)/(-12). Factor 2/3*m**3 - 4/3 + 4/3*m**2 - z*m.
2*(m - 1)*(m + 1)*(m + 2)/3
Factor -99/5*k - 18*k**3 - 138/5*k**2 - 3/5*k**5 - 27/5*k**4 - 27/5.
-3*(k + 1)**3*(k + 3)**2/5
Let y(a) = a**3 + 10*a**2 - 11*a + 4. Let d be y(-11). Let 3 - 1 - 5 + d*q**2 - 6*q - q**2 + 6*q**3 = 0. Calculate q.
-1, -1/2, 1
Let g = 131/165 - -1/165. Solve -g*z - 2/5 + 4/5*z**3 + 2/5*z**2 = 0 for z.
-1, -1/2, 1
Suppose 8/3*q**2 + 4 - 22/3*q = 0. Calculate q.
3/4, 2
Let m(s) be the second derivative of s**6/60 - 3*s**5/10 + 9*s**4/4 - 9*s**3 + s**2/2 + 3*s. Let k(l) be the first derivative of m(l). Factor k(b).
2*(b - 3)**3
Let v be (21*2/18)/1. Let x = 2 - 0. Find o such that o**x + 2/3 - 5/3*o**4 - 7/3*o + v*o**3 = 0.
-1, 2/5, 1
Let g = -571 - -573. Solve -1/4*y + 0 - 1/4*y**3 + 1/2*y**g = 0.
0, 1
Suppose 0 = -5*g - t, 29 = 3*g + g - 5*t. Let s(i) be the first derivative of -2/7*i + 2/21*i**3 + 0*i**2 + g. Determine b, given that s(b) = 0.
-1, 1
Let p(o) be the third derivative of o**6/360 - o**5/90 - o**4/24 + 19*o**2. Solve p(a) = 0.
-1, 0, 3
Let p(z) = -z**2 + z + 1. Let x(k) = -2*k**2 + 14*k + 11. Let y(u) = -5*p(u) + x(u). What is s in y(s) = 0?
-2, -1
Let g be (9 - 2) + (-3 - -1). Suppose 0 = -g*j + 4*l + 10, -j + 8 = 3*j + 4*l. Find p such that p**4 - 2 - p**2 + 0*p**2 + j = 0.
-1, 0, 1
Let s(r) = r**2 - r + 1. Let v(m) = -10*m + 5. Let t(g) = 5*s(g) + v(g). Let t(u) = 0. What is u?
1, 2
Let k = 606 + -603. Find q such that -1/4*q + 5/4*q**2 - 1/4 - 3/4*q**k = 0.
-1/3, 1
Let s(i) be the first derivative of 3 - 2/15*i**3 - 4/5*i + 3/5*i**2. Factor s(l).
-2*(l - 2)*(l - 1)/5
Let b = -15 - -30. Suppose 5*h = l + b + 3, 3*h = -l + 14. Solve 14/11*o**3 - 18/11*o**l + 4/11*o + 0 = 0 for o.
0, 2/7, 1
Let w(v) be the first derivative of -v**4/12 - v**3/6 + 5*v + 2. Let q(o) be the first derivative of w(o). Factor q(d).
-d*(d + 1)
Let a(j) be the first derivative of -4*j**3/3 + 16*j**2 - 64*j - 30. Suppose a(l) = 0. What is l?
4
Suppose -5*l - 5*r = 0, -2*l + 9*r = 12*r. Factor 4/5*s - 4/5*s**2 + 1/5*s**3 + l.
s*(s - 2)**2/5
Let f(l) be the third derivative of 0*l**4 + 0*l - l**2 + 0 - 1/180*l**5 + 1/540*l**6 - 1/6*l**3. Let j(x) be the first derivative of f(x). Factor j(s).
2*s*(s - 1)/3
Let o be (-4)/6 + 2/3. Suppose 0 = -3*s - 5*j + 25, 4*j = 5*s - o*j - 17. Factor 6*m**5 - 2*m**3 - 4*m**s + 0*m**5 + 2*m**2 - 2*m**4.
2*m**2*(m - 1)**2*(m + 1)
Solve 2*o + 165*o**4 - 22*o**3 + 20*o**3 - o**2 - 164*o**4 = 0.
-1, 0, 1, 2
Let p(m) be the first derivative of -2*m**3/33 + 6*m**2/11 - 10*m/11 - 17. Factor p(x).
-2*(x - 5)*(x - 1)/11
Let x(h) = 2*h**2 - 11*h - 9. Let g be x(14). Let t = -911/4 + g. Factor -3/4*z**3 + t*z**4 + 0*z + 0 - 1/2*z**2.
z**2*(z - 1)*(5*z + 2)/4
Let d = -635 - -26033/41. Let f = 49/164 + d. Factor -1/4*b + 1/4 + 1/4*b**3 - f*b**2.
(b - 1)**2*(b + 1)/4
Suppose 0 = 2*u - 6*u + 12. Determine m, given that -10/9*m**4 - 8/9*m**u + 0 + 2/9*m**2 + 0*m = 0.
-1, 0, 1/5
Find f, given that -105*f**2 + 11 - 138*f**3 - 12*f**5 + 1 + f - 13*f - 69*f**4 = 0.
-2, -1, 1/4
Let x = 25 + -21. Determine j, given that -4/3 + 6*j**x - 10*j**3 + 2/3*j**2 + 14/3*j = 0.
-2/3, 1/3, 1
Let -2/3*r**2 + 4/3 + 2/3*r = 0. What is r?
-1, 2
Let f(j) = 3*j**3 - 509*j**2 + 10584*j - 74083. Let r(g) = 20*g**3 - 3308*g**2 + 68796*g - 481540. Let z(y) = -32*f(y) + 5*r(y). Let z(i) = 0. Calculate i.
21
Let l(k) be the second derivative of -k**7/840 + k**6/360 - 7*k**3/6 + 4*k. Let i(d) be the second derivative of l(d). Factor i(x).
-x**2*(x - 1)
Let d(c) be the third derivative of -c**5/20 - c**4/4 - c**3/2 + 10*c**2. What is u in d(u) = 0?
-1
Let w(m) = -m**3 - 5*m - 2. Let c be w(-2). Let s(i) be the first derivative of -1/2*i**4 + 4*i**3 + 3 - 12*i**2 + c*i. Determine k so that s(k) = 0.
2
Let o(b) be the third derivative of b**11/997920 + b**10/453600 + b**5/30 + b**2. Let a(c) be the third derivative of o(c). Factor a(x).
x**4*(x + 1)/3
Let r(o) = -2*o - 2*o + 4*o + 8 + 3*o - 3*o**2. Let f(v) = -v**2 + v + 3. Let u(j) = -8*f(j) + 3*r(j). Solve u(q) = 0 for q.
0, 1
Let i(v) = -v + 5. Let l be i(5). Let s be (l - 1)*-1*2. Factor -2/3*u**s + 2/3*u**3 - 2/3*u + 2/3*u**4 + 0.
2*u*(u - 1)*(u + 1)**2/3
Let w(k) be the first derivative of -3*k**7/245 + k**6/20 - 8*k**5/105 + k**4/21 + 2*k**2 - 1. Let m(g) be the second derivative of w(g). Factor m(d).
-2*d*(d - 1)*(3*d - 2)**2/7
Let u(k) be the third derivative of -k**6/540 + k**5/270 + k**4/108 - k**3/27 - 5*k**2. Find j, given that u(j) = 0.
-1, 1
Let y(x) be the third deriv