 1/2, 1
What is m in 0 - 4/9*m**3 - 2/9*m + 2/3*m**2 = 0?
0, 1/2, 1
Let n(d) be the third derivative of -d**11/665280 + d**10/302400 + d**5/30 + 4*d**2. Let c(l) be the third derivative of n(l). Let c(k) = 0. What is k?
0, 1
Let w(n) be the third derivative of -n**5/480 + n**4/96 - n**3/48 + 4*n**2. Let w(b) = 0. What is b?
1
Factor 9/2*y**4 - 27/4*y**3 + 0 + 0*y**2 + 0*y - 3/4*y**5.
-3*y**3*(y - 3)**2/4
Factor 1/5*d**4 + 3/5*d**3 - 3/5*d + 0 - 1/5*d**2.
d*(d - 1)*(d + 1)*(d + 3)/5
Let m = 20861/660 + -158/5. Let p(s) be the third derivative of 1/660*s**6 + 0*s - 1/165*s**5 + m*s**4 + 0*s**3 + 3*s**2 + 0. Suppose p(b) = 0. Calculate b.
0, 1
Let p = -38 - -346/9. Let b(c) be the first derivative of 0*c**2 + 0*c - 1 - 2/5*c**5 - p*c**6 + 0*c**3 + 1/6*c**4. Factor b(w).
-2*w**3*(w + 1)*(4*w - 1)/3
Suppose -l - 4*x + 19 = 8, -5*x = -10. Suppose -1/4*o**4 + 3/4*o**l - 3/4*o**2 + 0 + 1/4*o = 0. What is o?
0, 1
Let t(m) be the third derivative of 0*m**3 - 1/300*m**5 + 0*m + 0*m**4 + 0 + m**2. Factor t(u).
-u**2/5
Let r be (-246)/(-80) + (-26)/(-208). Factor -2/5*a**3 - 12/5*a**2 - r - 24/5*a.
-2*(a + 2)**3/5
Let d be 8664/4*(-2)/(-9). Let g = -472 + d. Determine k so that 49/3*k**2 - g*k + 4/3 = 0.
2/7
Let c(d) be the first derivative of -d**4 - 4*d**3/3 + 2*d**2 + 4*d + 14. Factor c(j).
-4*(j - 1)*(j + 1)**2
Let o(z) be the first derivative of -z**3/7 - 6*z**2/7 - 12*z/7 + 22. Suppose o(p) = 0. Calculate p.
-2
Let o(z) be the third derivative of z**7/560 + z**6/160 + z**5/160 - 18*z**2. Find p, given that o(p) = 0.
-1, 0
Suppose 1/10*y**2 + 1/5*y - 3/10 = 0. What is y?
-3, 1
Let i(q) be the second derivative of q**4 + 10*q**3/3 - 4*q**2 - 43*q. Factor i(s).
4*(s + 2)*(3*s - 1)
Let j be ((-3112)/(-6))/(15/18). Let d = 626 - j. Factor d*r + 14/5*r**2 + 4/5.
2*(r + 1)*(7*r + 2)/5
Let h(q) = q - 1. Let y be 8 + -2 - 2 - -2. Let o be h(y). Find m such that -m + o*m + 2 - 2*m - 2*m**3 - 2*m**2 = 0.
-1, 1
Let s(q) be the third derivative of -q**7/35 + 7*q**6/60 - q**5/10 - q**4/4 + 2*q**3/3 + 7*q**2. What is n in s(n) = 0?
-2/3, 1
Let b(x) be the third derivative of 0 + 0*x**3 - 1/24*x**4 + 0*x + 1/60*x**5 - 5*x**2. Factor b(f).
f*(f - 1)
Let c(h) be the third derivative of h**5/40 + 5*h**4/16 + 3*h**3/2 + 24*h**2. Factor c(f).
3*(f + 2)*(f + 3)/2
Let m(x) be the second derivative of x**8/20160 - x**7/7560 + x**4/4 + 2*x. Let s(y) be the third derivative of m(y). Find r, given that s(r) = 0.
0, 1
Let k = 10 + -6. Suppose -3*q + 11 = 4*n, -2*n = -4*q + 2*n + 24. Factor 2*p**2 - p**4 + p - 3*p**5 - p**k + 2*p**q.
-p*(p - 1)*(p + 1)**3
Let t be (-8)/(-4 - 6/(-3)). Let q = t - 16. Let p(c) = c**4 + c**2 + c - 1. Let z(y) = 14*y**4 + 10*y**2 + 12*y - 12. Let o(x) = q*p(x) + z(x). Factor o(m).
2*m**2*(m - 1)*(m + 1)
Let t(o) be the first derivative of -o**7/280 - o**6/90 - o**5/120 + 8*o**3/3 - 3. Let z(j) be the third derivative of t(j). Let z(g) = 0. Calculate g.
-1, -1/3, 0
Let w be (-8)/18*35/(-28). Let d = w - 11/36. Factor 0*y + d*y**2 - 1/4.
(y - 1)*(y + 1)/4
Factor -3/7*b + 12/7*b**5 + 27/7*b**3 + 0 + 33/7*b**4 + 3/7*b**2.
3*b*(b + 1)**3*(4*b - 1)/7
Let b = -31 + 35. Let o(g) = 8*g - 1. Let f be o(2). Determine x so that -3*x**4 - f*x**3 - 18*x**2 + 6*x**3 + 1 - 3*x**3 - b - 12*x = 0.
-1
Let x(f) = -9*f**3 + 7*f**2 + 2*f - 5. Let r(w) = 13*w**3 - 10*w**2 - 3*w + 7. Let q(a) = -5*r(a) - 7*x(a). Find v such that q(v) = 0.
-1/2, 0, 1
Suppose -4*q = 2*z - 4, 3*q + 19 = -z + 5*z. Factor -6/5*m**z + 4/5*m**3 + 2/5*m**5 + 0 + 0*m + 0*m**2.
2*m**3*(m - 2)*(m - 1)/5
Let r = -1491 + 7456/5. Factor 2/5 + 1/5*g - r*g**2.
-(g - 2)*(g + 1)/5
Let v(p) = 4*p**5 + 6*p**4 - p**3 - 4*p**2 + 1. Let i(d) = d**5 + d**4 + d**2 - 1. Let n(o) = -3*i(o) + v(o). Factor n(r).
(r - 1)**2*(r + 1)*(r + 2)**2
Let q = -134 - -398/3. Let x = 2 + q. Factor -x*o - 2/3*o**2 + 0.
-2*o*(o + 1)/3
Let t be 5/5 + 12/3. Let v(n) be the third derivative of 2*n**2 + 0*n**3 + 0 + 1/240*n**t + 0*n + 1/96*n**4. Factor v(p).
p*(p + 1)/4
Let m be (-159)/5*8 + 0. Let c = m + 258. Determine q so that 2*q**2 + 4/5 - 14/5*q**4 + 18/5*q - c*q**3 = 0.
-1, -2/7, 1
Let d(c) be the third derivative of 3*c**8/448 - c**7/280 - c**6/96 - c**5/240 + 3*c**2 + c. Suppose d(z) = 0. What is z?
-1/3, 0, 1
What is h in 6/7*h**2 + 2/7*h - 2/7*h**3 - 6/7 = 0?
-1, 1, 3
Let v = -230 + 233. Factor 2/5*s**4 + 4/5*s - 2/5*s**5 - 2*s**2 + 6/5*s**v + 0.
-2*s*(s - 1)**3*(s + 2)/5
Let w(g) = 199*g**4 - 507*g**3 + 240*g**2 - 29*g + 3. Let x(a) = -1792*a**4 + 4564*a**3 - 2160*a**2 + 260*a - 28. Let l(f) = -28*w(f) - 3*x(f). Factor l(d).
-4*d*(d - 2)*(7*d - 2)**2
Let u(a) be the second derivative of -a**5/10 + 67*a. Factor u(p).
-2*p**3
Let w(l) be the third derivative of 1/108*l**4 - 1/270*l**5 + 0*l**3 + 0*l + 0 + 4*l**2. Factor w(z).
-2*z*(z - 1)/9
Let m(g) be the third derivative of g**9/13608 - g**8/3780 + g**7/3780 - g**3/3 + 3*g**2. Let u(b) be the first derivative of m(b). Solve u(q) = 0 for q.
0, 1
Let y(o) be the first derivative of -5 - 4/7*o**2 - 8/7*o - 2/21*o**3. Factor y(f).
-2*(f + 2)**2/7
Let t be -112 - (3 + (2 - 4)). Let v = t + 793/7. Factor -v*d**2 - 4/7*d - 2/7.
-2*(d + 1)**2/7
Let m = 0 - 2. Let k be 4/(-48)*(m + 0). Factor -1/6*o**2 + 0*o + 0 - k*o**4 + 1/3*o**3.
-o**2*(o - 1)**2/6
Let s(u) = 5 - u - 5 - 1. Let p(w) = w**3 + w**2 - 4*w - 2. Let f(y) = 3*p(y) - 6*s(y). Factor f(z).
3*z*(z - 1)*(z + 2)
Let i(h) be the third derivative of h**7/420 - h**6/60 + h**5/24 - h**4/24 + 2*h**2. Let i(c) = 0. What is c?
0, 1, 2
Let h(b) = -b**3 - 8*b**2 + 10*b + 11. Let r be h(-9). Suppose -r*a + 4*t + 0*t = 0, 2*t = 2. Factor 0 + 2/3*j - 7/3*j**a + 5/3*j**3.
j*(j - 1)*(5*j - 2)/3
Let k(d) = 11*d**3 + 11*d**2 - 4*d - 4. Let m(j) = 5*j**3 + 5*j**2 - 2*j - 2. Let z = -1 + 15. Let y(g) = z*m(g) - 6*k(g). Solve y(p) = 0.
-1, 1
Let o = 6739/15 - 449. Let q(x) be the third derivative of -1/6*x**4 + 0*x + x**2 + 11/30*x**5 + 1/15*x**7 + 0*x**3 - o*x**6 + 0. Factor q(d).
2*d*(d - 1)**2*(7*d - 2)
Let x(d) be the third derivative of -1/84*d**4 + 0 + 0*d**3 + 2*d**2 + 0*d - 1/210*d**5. Factor x(u).
-2*u*(u + 1)/7
Let y(w) be the third derivative of 0 - 1/40*w**6 + 0*w**5 + w**2 + 1/8*w**4 + 0*w + 0*w**3. Factor y(q).
-3*q*(q - 1)*(q + 1)
Suppose 0 = 3*i - 176 + 56. Suppose 4*q - i = -q. Factor 0 - 1 - a**2 - 7 - a**2 + q*a.
-2*(a - 2)**2
Determine o, given that 10/11 - 2/11*o**2 - 14/11*o + 6/11*o**3 = 0.
-5/3, 1
Let b be (-26)/(-8) - (-2)/(-8). Let d = 235/39 - 61/13. Suppose -d*g**b - 7/3*g**2 + 1/3 - 2/3*g = 0. Calculate g.
-1, 1/4
Let u(d) be the second derivative of -d**7/21 + 4*d**6/15 - 3*d**5/5 + 2*d**4/3 - d**3/3 + d. Factor u(k).
-2*k*(k - 1)**4
What is l in 6/7 - 6*l**5 - 39/7*l**2 - 33/7*l**3 + 93/7*l**4 + 15/7*l = 0?
-1/2, -2/7, 1
Let z be 112/352 + 6/33. Factor z*u + 0 + 3/2*u**3 + 3/2*u**2 + 1/2*u**4.
u*(u + 1)**3/2
Let n = 217/4 - 643/12. Determine h so that 1/3 + 1/3*h**2 + 1/6*h**5 - 5/6*h + 2/3*h**3 - n*h**4 = 0.
-1, 1, 2
Let s = -4 - -6. Let v be 9/6 - (-7)/s. Factor -x**5 + 6*x**v - 2*x + 4*x - 4*x**3 - 3*x**5.
2*x*(x - 1)**2*(x + 1)**2
Factor 6*p**3 - 4*p**2 + 0*p**3 - 4*p**3.
2*p**2*(p - 2)
Let p(w) be the third derivative of -w**9/22680 - w**8/3360 - w**7/1260 - w**6/1080 + w**4/8 - w**2. Let u(h) be the second derivative of p(h). Factor u(t).
-2*t*(t + 1)**3/3
Let r(w) be the first derivative of -3*w**5/5 + 3*w**4/2 + 9. Factor r(j).
-3*j**3*(j - 2)
Let o(d) = -6*d**2 + 16*d - 18. Let z(c) = 13*c**2 - 32*c + 37. Let r(a) = 5*o(a) + 2*z(a). Factor r(p).
-4*(p - 2)**2
Let c(y) = -10*y**4 + 3*y + 0 - 11*y + 8*y**3 - 9 + 1. Let t(d) = -7*d - 10 + 7*d**3 + d**2 + 0*d**2 + 3 - 9*d**4. Let b(u) = -5*c(u) + 6*t(u). Solve b(m) = 0.
-1, -1/2, 1
Let k(x) be the second derivative of 3*x + 1/10*x**6 + 3/20*x**5 + 1/12*x**4 + 1/42*x**7 + 0*x**2 + 0 + 0*x**3. Suppose k(u) = 0. Calculate u.
-1, 0
Let l(w) be the third derivative of -1/224*w**8 - 5/16*w**4 - 1/28*w**7 - 2*w**2 - 1/4*w**3 - 1/8*w**6 + 0 + 0*w - 1/4*w**5. Factor l(k).
-3*(k + 1)**5/2
Let a(l) = 2 - l**2 - 4*l - 7 + 12*l. Let b be a(7). Factor 4*p**b - 3*p**2 + 0*p**3 + 2*p**3 + 2*p**4 - 5*p**3.
p**2*(p - 1)*(2*p - 1)
Determine p, given that -203*p**3 - 6*p - 8*p**5 + 5*p**5 - 3*p**4 + 209*p**3 + 3*p + 6*p**2 - 3 = 0.
-1, 1
Let g(j) = j - 6. Let f be g(9). L