 = 0. What is g?
-1, -2/5, 0
Let i(b) be the second derivative of -b**8/3360 + b**7/630 - b**6/360 - b**4/6 + b. Let s(l) be the third derivative of i(l). Factor s(r).
-2*r*(r - 1)**2
Let a(j) = -j**4 + j**3 + 2*j**2 - 2*j - 2. Let v(p) = -p**3 - p**2 + p + 1. Let u(n) = -a(n) - 2*v(n). Factor u(t).
t**3*(t + 1)
Let i(a) be the second derivative of a**5/20 + 7*a**4/12 + 7*a**3/6 + 4*a**2 - 3*a. Let v be i(-6). Let -5/3*k**v - 7/3*k**3 + 0 + 2/3*k = 0. Calculate k.
-1, 0, 2/7
Let q(s) be the third derivative of s**8/168 + s**7/105 - s**6/60 - s**5/30 - 2*s**2. Factor q(i).
2*i**2*(i - 1)*(i + 1)**2
Let v(w) be the second derivative of -w**7/210 + w**6/40 - w**5/30 - 3*w**2/2 - 2*w. Let k(b) be the first derivative of v(b). Factor k(m).
-m**2*(m - 2)*(m - 1)
Let d(x) be the third derivative of x**8/10080 - x**7/1260 + x**5/20 - 4*x**2. Let l(f) be the third derivative of d(f). Determine n, given that l(n) = 0.
0, 2
Let w(u) be the first derivative of -3*u**4/4 + 4*u**3 - 45. Factor w(i).
-3*i**2*(i - 4)
Let h(m) be the first derivative of m**6/18 - 2*m**5/15 - 20. Factor h(y).
y**4*(y - 2)/3
Let h be 44/(-66) + 2/3. Suppose -4/5*f**4 + 0*f - 2/5*f**3 + h + 6/5*f**5 + 0*f**2 = 0. What is f?
-1/3, 0, 1
Let i = 82 + -55. Suppose 0 = -4*p + i + 9. Find s, given that -9*s + p*s - 3*s**3 - 3*s**2 = 0.
-1, 0
Let t(u) be the second derivative of -u**5/8 + u**4/6 + 5*u**3/12 - u**2 - 22*u. What is j in t(j) = 0?
-1, 4/5, 1
Let o(w) be the second derivative of w**5/30 + 5*w**4/18 + 7*w**3/9 + w**2 - 6*w. Suppose o(q) = 0. Calculate q.
-3, -1
Let b(g) be the second derivative of -g**7/840 - g**6/60 - g**5/10 + g**4/2 - g. Let h(q) be the third derivative of b(q). Factor h(r).
-3*(r + 2)**2
Let y = -51 - -53. Factor -1/6*f**y + 2/3*f - 2/3.
-(f - 2)**2/6
Suppose -3*j + 3*m + 6 = -4*j, 0 = 4*j + 4*m + 8. Factor 1/4*l**3 + j + 1/2*l**2 + 0*l.
l**2*(l + 2)/4
What is w in -w**2 + 1/5 + 4/5*w**4 + 3/5*w - 3/5*w**3 = 0?
-1, -1/4, 1
Let c = 108/371 + -2/371. Factor -2/7*x**3 + 0*x + c*x**2 + 0.
-2*x**2*(x - 1)/7
Suppose 0 = -2*n + 2*z + 14, 0 = -z - 2*z + 3. Let t be (-1)/4 + 26/n. Factor -5*y**2 + y**2 - y**3 - y - 2*y**t.
-y*(y + 1)*(3*y + 1)
Factor 24/13 - 22/13*v - 2/13*v**2.
-2*(v - 1)*(v + 12)/13
Let x(y) be the first derivative of -5*y**6/12 - 2*y**5 - 15*y**4/4 - 10*y**3/3 - 5*y**2/4 + 12. Factor x(o).
-5*o*(o + 1)**4/2
Let g = 0 - -6. Let n(q) be the second derivative of q + 0 - 1/48*q**4 + 0*q**3 + 0*q**2 + 1/40*q**5 - 1/120*q**g. Find b, given that n(b) = 0.
0, 1
Factor 2*x + x**2 - 4*x**2 + 3*x**3 - 4*x - 4*x.
3*x*(x - 2)*(x + 1)
Let v be (-63)/14*(-4)/3. Factor 3*j**2 - v - 11 - 10 + 18*j - 6*j**2.
-3*(j - 3)**2
Let t be (-4 + 7)/27 + (-2)/(-6). Determine o, given that -t*o - 22/9*o**2 + 0 = 0.
-2/11, 0
Let i(l) = -l**3 + 4*l**2 + 10*l + 14. Let u be i(6). Suppose -2/7*c**u - 8/7*c - 8/7 = 0. Calculate c.
-2
Let o(k) = -k**3 + k**2 - 2*k + 2. Let v be o(0). Let h(b) be the first derivative of -8/9*b**3 + 2 + 5/3*b**v - 4/3*b + 1/6*b**4. Let h(t) = 0. What is t?
1, 2
Let i(k) = -7*k**3 + 52*k**2 - 8*k + 8. Let o(q) = 5*q**3 - 35*q**2 + 5*q - 5. Let b(t) = 5*i(t) + 8*o(t). Factor b(z).
5*z**2*(z - 4)
Determine t so that 2/11 + 2/11*t**2 + 4/11*t = 0.
-1
Let v(r) be the third derivative of r**6/180 + r**5/15 + r**4/3 + 8*r**3/9 + 4*r**2. Factor v(p).
2*(p + 2)**3/3
Let v(d) be the first derivative of 3*d**5/5 - 3*d**4 + 3*d**3 + 6*d**2 - 12*d - 40. Solve v(i) = 0.
-1, 1, 2
Let j be 1/(-3) - (-148)/(-6). Let h be (-5)/(-2)*(-30)/j. Find y such that h*y**2 - y**3 + 1 - y - 2*y + 0*y**3 = 0.
1
Let a(b) = -b**3 + 2*b**2 + 2*b + 7. Let l be a(3). Suppose -8 - 7 = -5*o. Factor z**2 - l*z**o - z**4 - 3*z + 5*z**3 + 2*z.
-z*(z - 1)**2*(z + 1)
Factor 15 + 4*a - 7 + 4*a**2 - 8*a**2.
-4*(a - 2)*(a + 1)
Suppose -28*a - 624 + 444 - 5*a**2 - 32*a = 0. What is a?
-6
Let z(v) be the first derivative of -2 - 1/18*v**3 - 1/6*v - 1/6*v**2. Factor z(p).
-(p + 1)**2/6
Let w(v) = -v**2 - 4*v + 3. Let f(q) = -q**2 - 3*q + 2. Suppose 4*r - 7 = h, 3*r - 2*h = -2*r + 8. Let d(y) = r*w(y) - 3*f(y). What is j in d(j) = 0?
-1, 0
Solve -1/5*h**4 + 1/5*h**5 + 0 + 0*h + 0*h**3 + 0*h**2 = 0 for h.
0, 1
Let g(m) be the first derivative of m**6/160 - m**4/32 + 9*m**2/2 - 9. Let l(v) be the second derivative of g(v). Factor l(b).
3*b*(b - 1)*(b + 1)/4
Let m(o) be the third derivative of o**5/15 + o**4/3 + 5*o**2. Suppose m(y) = 0. What is y?
-2, 0
Let w = 82/315 - -14/45. Solve w + 2*g - 8/7*g**2 = 0.
-1/4, 2
Let t(a) be the third derivative of a**6/900 + a**3/3 - a**2. Let v(n) be the first derivative of t(n). Factor v(r).
2*r**2/5
Let n be (8/(-20)*2)/(4/(-10)). Determine o, given that -2/3*o**n + 4/3 + 2/3*o = 0.
-1, 2
Suppose -5*a + 12 = -7*a. Let k be (12/(-21))/(a/21). Find f such that 2/3 + f**k - 5/3*f = 0.
2/3, 1
Suppose -f**4 - 53 - f**3 + 3*f**4 + 5*f + 51 - f**4 - 3*f**2 = 0. Calculate f.
-2, 1
Let c(u) be the second derivative of -u**7/2100 + u**5/300 - u**3/2 + 4*u. Let i(x) be the second derivative of c(x). Factor i(t).
-2*t*(t - 1)*(t + 1)/5
Let o(g) = -g**2 + 1. Let m(d) = d**4 - d**3 - 6*d**2 + d + 5. Let n = -4 - -3. Let q(f) = n*m(f) + 5*o(f). Factor q(h).
-h*(h - 1)**2*(h + 1)
Let o(z) = -2*z + 4. Let n be o(1). Suppose 2/3*h - 4/9 + 0*h**n - 2/9*h**3 = 0. What is h?
-2, 1
Let p(v) be the third derivative of v**7/1155 - v**6/165 + v**5/330 + v**4/22 + 19*v**2. Factor p(w).
2*w*(w - 3)*(w - 2)*(w + 1)/11
Solve 0 - 1/2*d**5 + 7/2*d**4 - 15/2*d**3 + 9/2*d**2 + 0*d = 0.
0, 1, 3
Suppose r - 5 = -3*b, 2*b - 15 = 28*r - 31*r. Determine c so that 2/5*c**3 - 2/5*c**4 + b + 0*c**2 + 0*c = 0.
0, 1
Let w(h) be the third derivative of -h**8/1680 + h**7/420 - h**6/360 + h**3/6 - 4*h**2. Let a(y) be the first derivative of w(y). Let a(q) = 0. What is q?
0, 1
Let h(a) = -1. Let f(w) = 2*w**3 - 3. Let p(c) = -f(c) + 3*h(c). Factor p(k).
-2*k**3
Suppose -16/13*p**2 - 2/13*p**4 + 0 + 10/13*p**3 + 8/13*p = 0. Calculate p.
0, 1, 2
Suppose 3*t - 43 - 2 = 0. Let m = 15 - t. Solve 0*s + 0*s**2 + 2/7*s**4 - 8/7*s**5 + 0 + m*s**3 = 0.
0, 1/4
Let l(y) be the second derivative of y**7/63 - y**5/15 + y**3/9 + 38*y. Factor l(r).
2*r*(r - 1)**2*(r + 1)**2/3
Let w(r) be the second derivative of -1/36*r**4 + 0*r**3 + r + 0 + 0*r**2. Solve w(p) = 0.
0
Let x(s) be the third derivative of -s**7/1155 - s**6/165 - s**5/55 - s**4/33 - s**3/33 + s**2. Factor x(r).
-2*(r + 1)**4/11
Let s(t) be the first derivative of t**6/80 + t**5/40 - t**4/16 - t**3/4 + 3*t**2/2 + 3. Let z(l) be the second derivative of s(l). Let z(y) = 0. Calculate y.
-1, 1
Let g(f) be the first derivative of -3*f - 1 + 1/10*f**5 + 1/6*f**4 - f**2 - 1/3*f**3. Let l(t) be the first derivative of g(t). Determine w so that l(w) = 0.
-1, 1
Let q be (-21)/(-45) + 36/27. Factor 24/5*p**3 - 18/5*p**2 - q*p**4 + 3/5 + 0*p.
-3*(p - 1)**3*(3*p + 1)/5
Suppose 0 = -6*v - 4*v + 30. Factor 0*t**v + 0*t + 1/2*t**2 - 1/4*t**4 - 1/4.
-(t - 1)**2*(t + 1)**2/4
Let c = -2/3067 - -18416/21469. Let 2/7 - c*w**4 - 6/7*w + 2/7*w**5 + 4/7*w**2 + 4/7*w**3 = 0. What is w?
-1, 1
Factor 12*n + 5*n**4 + 151*n**2 - 5*n**3 - 171*n**2 + 8*n.
5*n*(n - 2)*(n - 1)*(n + 2)
Factor 0 + 2/9*a + 4/9*a**2 + 2/9*a**3.
2*a*(a + 1)**2/9
Let v(d) be the third derivative of -d**6/60 - d**5/15 - d**4/12 - 6*d**2. Let v(z) = 0. Calculate z.
-1, 0
Let r(v) be the first derivative of 2*v**7/525 - v**6/300 - v**5/150 - v**2/2 + 6. Let o(h) be the second derivative of r(h). Find k such that o(k) = 0.
-1/2, 0, 1
Let h(p) be the second derivative of p**6/120 - p**4/48 - 3*p. Factor h(m).
m**2*(m - 1)*(m + 1)/4
Let v(g) be the third derivative of g**9/15120 - g**8/2240 + g**6/180 - g**4/12 + g**2. Let s(j) be the second derivative of v(j). Solve s(f) = 0.
-1, 0, 2
What is m in 6/5*m**2 - 3/5*m - 6/5 + 3/5*m**3 = 0?
-2, -1, 1
Suppose 2*l - n - 1 - 62 = 0, -2*n = -l + 36. Suppose -6*d + l = -d. Factor -d*i + i**2 + 2*i + i + 2.
(i - 2)*(i - 1)
Let s(u) be the second derivative of -u**6/120 - u**5/80 + u**4/48 + u**3/24 - u. Determine n so that s(n) = 0.
-1, 0, 1
Let i(b) be the second derivative of 0 - 1/42*b**7 + 1/12*b**4 + 3/20*b**5 - 1/3*b**3 + 0*b**2 - b - 1/30*b**6. Determine h so that i(h) = 0.
-2, -1, 0, 1
Let 2/3 - 1/6*t**2 + 1/2*t = 0. What is t?
-1, 4
Let j = 1104/47659 - -8711428