9/9*d**3 - 1/3*d**5 + 29/9*d**4 = 0.
-1/3, 0, 1, 2, 7
Let s(c) be the second derivative of 0*c**2 + 0*c**5 + 4/3*c**3 + 0 - 1/132*c**4 + 1/1980*c**6 - 6*c. Let a(k) be the second derivative of s(k). Factor a(m).
2*(m - 1)*(m + 1)/11
Suppose 12*c - 54 - 18 = 0. Let b be c + 0 - (-94)/(-16). Let 1/2*r**4 + 0*r**2 + 0 + 1/2*r**3 + 0*r + b*r**5 = 0. What is r?
-2, 0
Let y be (56/(-20))/((-30)/9 + 3). Factor -y*s**2 + 3/5*s**3 + 0 + 147/5*s.
3*s*(s - 7)**2/5
Let t(n) be the third derivative of -4*n**7/105 + 19*n**6/60 - 7*n**5/30 - 13*n**4/4 - 3*n**3 + 3*n**2 + 32*n. Suppose t(z) = 0. Calculate z.
-1, -1/4, 3
Let c(p) be the second derivative of 0 + 0*p**2 - p + 0*p**4 + 2/3*p**3 - 1/40*p**5 + 1/120*p**6. Let g(s) be the second derivative of c(s). Factor g(v).
3*v*(v - 1)
Let r(k) be the second derivative of -k**7/35 - 7*k**6/15 - 63*k**5/25 - 67*k**4/15 - k**3 + 5*k**2 - 602*k. Determine t so that r(t) = 0.
-5, -1, 1/3
Let b(t) be the third derivative of t**6/240 + t**5/40 - t**4/48 - t**3/4 - 11*t**2 + 10. Factor b(o).
(o - 1)*(o + 1)*(o + 3)/2
Let n(a) be the first derivative of -4*a**3/3 - a**2 + 6*a + 24. Factor n(d).
-2*(d - 1)*(2*d + 3)
Let n(t) be the first derivative of t**6/18 - 3*t**5/5 + 8*t**4/3 - 56*t**3/9 + 8*t**2 - 16*t/3 - 106. What is c in n(c) = 0?
1, 2
Factor -56/9 - 2/9*w**2 - 22/9*w.
-2*(w + 4)*(w + 7)/9
Let u be 0 - -2*(-3 - -13). Let o be 4/u + (-2399)/(-5). What is i in 375*i**3 + o*i**3 - 49*i**2 - 136*i - 16 + 355*i**3 + 5*i**2 = 0?
-2/11, 2/5
Factor -391*u + 872*u - 36*u**2 - 413*u - 32.
-4*(u - 1)*(9*u - 8)
Suppose y = 4*s - 6, -3*y + 5*s + 3 = -0. Factor -6 + 10 - y*o**2 + 2*o**4 + 0*o**3 - 2*o**3 + 2*o.
2*(o - 2)*(o - 1)*(o + 1)**2
Let s be (-3)/(-2)*(-4)/(-33). Suppose -484*b + 219*b - 534*b = -103*b. Solve b*j**2 + 0 + 0*j - s*j**3 = 0.
0
Let v be 3 + -5 - (-1 - -1). Let d be ((-24)/(-30))/(v/(-10)). Factor -1/4*s + 0 + 1/4*s**3 + 1/4*s**d - 1/4*s**2.
s*(s - 1)*(s + 1)**2/4
Suppose -5*o - 116 + 113 = 3*k, 3 = -3*k. What is h in -6/7*h + 2/7*h**3 - 4/7 + o*h**2 = 0?
-1, 2
Suppose 0 = 8*h - 3*h - 4*o + 144, 4*o = -5*h - 176. Let q = -32 - h. Let 14/3*p**4 + 0*p**2 + 0*p + q + 4/3*p**3 + 10/3*p**5 = 0. Calculate p.
-1, -2/5, 0
Let q(y) = 3*y**2 - 11. Let x(s) = s**2 + s - 2. Let k(t) = -q(t) + 4*x(t). What is m in k(m) = 0?
-3, -1
Let m = -78 + 119. Suppose 4*j - m = 7. Let 14*r**3 + j*r - 2*r**4 + 28*r - 36*r**2 - 21 + 5 = 0. What is r?
1, 2
Let l(a) = 3*a**3 + 7*a**2 + 71*a + 126. Let g(c) = 2*c**3 + 6*c**2 + 70*c + 126. Let w(t) = -5*g(t) + 4*l(t). Factor w(z).
2*(z - 7)*(z + 3)**2
Let a = -228 - -228. Determine n so that 1/6*n**3 + 0 + 0*n**2 + 1/3*n**4 + a*n + 1/6*n**5 = 0.
-1, 0
Let n(d) be the third derivative of -5*d**8/168 - d**7/42 + 7*d**6/8 - 13*d**5/6 + 5*d**4/3 - 14*d**2 + 3. Determine h so that n(h) = 0.
-4, 0, 1/2, 1, 2
Let m(l) be the second derivative of l**5/4 - 35*l**4/12 - 25*l**3/3 + 40*l**2 - 7*l + 2. Factor m(t).
5*(t - 8)*(t - 1)*(t + 2)
Let t(p) be the third derivative of -p**6/40 + p**5/4 - p**4/4 - 4*p**3 - 90*p**2. Solve t(w) = 0.
-1, 2, 4
Let s(w) be the first derivative of w**6/36 + w**5/30 - w**4/18 + 13*w**2/2 + 4. Let d(j) be the second derivative of s(j). Factor d(y).
2*y*(y + 1)*(5*y - 2)/3
Let a(y) be the second derivative of -y**6/40 - 9*y**5/80 + 3*y**4/8 + 7*y**3/2 + 9*y**2 + y + 9. Factor a(t).
-3*(t - 3)*(t + 2)**3/4
Let i(q) be the first derivative of -4*q**5/5 + 16*q**3/3 + 70. Factor i(j).
-4*j**2*(j - 2)*(j + 2)
Suppose 4*b = -5*n + 58, 0 = 2*n - 5*n - 2*b + 36. Let l be (2 - 1)/(n/56). Find y, given that 0*y**3 + 0*y + 0 + 2/11*y**2 - 2/11*y**l = 0.
-1, 0, 1
Suppose 2*c + c + 51 = 0. Let h(z) = -14*z**2 - 4*z. Let a(y) be the third derivative of -7*y**5/10 - y**4/2 - 8*y**2. Let o(l) = c*h(l) + 6*a(l). Factor o(w).
-2*w*(7*w + 2)
Suppose 63 = 11*d + 10*d. Find l, given that 9/2*l**2 + 3/4 - 3*l**d - 3*l + 3/4*l**4 = 0.
1
Let w(k) = 12*k - 3 - k**2 - 10*k + 3. Let f(d) = 2*d**2 - 4*d. Let l be 54/10 + 4/(-10). Let x(h) = l*w(h) + 3*f(h). Solve x(q) = 0.
0, 2
Let h(w) be the third derivative of w**5/12 + 5*w**4/6 + 122*w**2 - 1. Factor h(b).
5*b*(b + 4)
Let y be 1/5 + 2387/465. Factor 4/3*d**2 + y*d + 4.
4*(d + 1)*(d + 3)/3
Let i be -16 + 7 - 77/(-7). Suppose 0 = 3*c - 9 + 3. Determine k, given that -2/3*k**2 - c*k**4 + 0*k + 2/3*k**5 + 0 + i*k**3 = 0.
0, 1
Let w(j) be the third derivative of -j**6/90 - j**5/6 - 2*j**4/3 - 7*j**3/2 + 17*j**2. Let l(y) be the first derivative of w(y). Find n, given that l(n) = 0.
-4, -1
Let -147/2*r**4 - 61*r**3 - 68*r + 174*r**2 + 9/2*r**5 + 0 = 0. What is r?
-2, 0, 2/3, 17
Let i(p) be the third derivative of p**5/70 - 3*p**4/28 - p**2 + 107. Find m such that i(m) = 0.
0, 3
Let t = -11 + 15. Factor 17*s**2 - 3 - 3*s**3 - s + 3 - 14*s**2 + s**t.
s*(s - 1)**3
Let n(o) be the first derivative of -o**6/1080 - o**5/120 + 7*o**3/3 + 13. Let u(b) be the third derivative of n(b). Find h, given that u(h) = 0.
-3, 0
Let t = -6970 - -6973. Factor -3/4*a**4 + 3/2 + 3/4*a**t + 9/4*a**2 - 15/4*a.
-3*(a - 1)**3*(a + 2)/4
Let w(u) = -16*u. Let m(j) = -j**2. Let a(x) = -4*m(x) + w(x). Find t such that a(t) = 0.
0, 4
Factor -169 - 781/4*a**2 - 1/4*a**4 + 27/2*a**3 + 351*a.
-(a - 26)**2*(a - 1)**2/4
Suppose -2*x - 3*o + 18 = -o, -o = 4*x - 21. Let w be (-63)/(-60) + x/(-16). Factor 0 - 6/5*j**2 + w*j + 2/5*j**3.
2*j*(j - 2)*(j - 1)/5
Let o(t) = 7*t**2 - 16*t + 20. Let i(p) = -p**2 - p - 2. Let w(y) = 10*i(y) + 2*o(y). Factor w(s).
2*(s - 10)*(2*s - 1)
Suppose -2*d + p = 2 - 3, d - p = -1. Factor 18*y**2 - 27*y**d - 83*y**2 + 2*y**4 - 120*y - 4*y**4 - 24*y**3 - 50.
-2*(y + 1)**2*(y + 5)**2
Let f(s) = 8*s**3 - 11*s**2 + 8*s - 5. Let d(k) = k**3 - 3 + k + 2 - 3*k**2 + 2*k**2. Let g = -301 - -306. Let r(u) = g*d(u) - f(u). Factor r(y).
-3*y*(y - 1)**2
Suppose 0 = -2*s - 17 + 49. Suppose n + 2*q + 3*q = 8, s = 5*n + q. Factor 1/3*i**n - 1/3*i - 2/3*i**2 + 2/3.
(i - 2)*(i - 1)*(i + 1)/3
Let m(s) = 20*s**5 - 23*s**4 + 63*s**2 - 9*s. Let v(l) = -9*l**5 + 11*l**4 - 32*l**2 + 4*l. Let p(f) = 4*m(f) + 9*v(f). Factor p(z).
-z**2*(z - 6)*(z - 3)*(z + 2)
Factor 5*g**2 + 224*g - 32*g + 107*g**2 - 8*g**2 + 4*g**3.
4*g*(g + 2)*(g + 24)
Let n(h) be the first derivative of -3*h**4/20 - 14*h**3/5 + 3*h**2/10 + 42*h/5 - 128. What is g in n(g) = 0?
-14, -1, 1
Let t(w) = w**4 + 36*w**3 + w**2 - 122*w + 80. Let n(b) = 2*b**4 + 71*b**3 + 3*b**2 - 245*b + 160. Let q(f) = 4*n(f) - 9*t(f). Let q(h) = 0. What is h?
-40, -2, 1
Let p(u) be the third derivative of -u**8/131040 - 11*u**5/60 - 12*u**2. Let l(t) be the third derivative of p(t). Factor l(g).
-2*g**2/13
Let n(b) be the third derivative of -b**7/175 + 17*b**6/300 + 27*b**5/50 + 79*b**4/60 + 6*b**3/5 - b**2 - 30. Solve n(d) = 0 for d.
-2, -1, -1/3, 9
Suppose 4*s + w - 9 = 5, -s + w = -1. Factor 10*g + s*g**4 - 8*g**4 + g**3 + 5 - 11*g**3.
-5*(g - 1)*(g + 1)**3
Let u(q) be the second derivative of -q**7/280 + q**6/24 - 7*q**5/40 + 3*q**4/8 + 3*q**3 + 15*q. Let n(a) be the second derivative of u(a). Factor n(f).
-3*(f - 3)*(f - 1)**2
Let z(o) be the third derivative of o**5/60 - 17*o**4/3 + 2312*o**3/3 + 314*o**2. Factor z(n).
(n - 68)**2
Let r be 9/(-4) - -2 - (-213)/284. Let f(g) be the first derivative of -7 + 4/3*g**3 + g**2 - r*g**4 - 4*g. Find c, given that f(c) = 0.
-1, 1, 2
Let k = -21 + 39. Factor 4 - k*m + 2*m**3 + 6*m**3 + 2*m**3 - 2*m**3 + 6*m**2.
2*(m - 1)*(m + 2)*(4*m - 1)
Suppose 0 = 3*z + 4*y - 21, 3*z + 27*y + 3 = 31*y. Solve 0*i**z + 9/2*i**2 + 1/4 - 27/4*i**4 - 2*i = 0.
-1, 1/3
Suppose -5*t + 49 = 34. Factor 6 + 31*s - 2*s**3 - 63*s + 0*s**t + 34*s - 6*s**2.
-2*(s - 1)*(s + 1)*(s + 3)
Let b(y) be the first derivative of -25*y**6/24 + 17*y**5/2 - 31*y**4/4 + 2*y**3 + 330. Factor b(o).
-o**2*(o - 6)*(5*o - 2)**2/4
Let o(d) = -d**3 - d - 2. Let j = -173 + 172. Let p be o(j). Factor 0 - 2/3*u**2 + 1/3*u**3 + p*u.
u**2*(u - 2)/3
Let c(z) = -3*z**5 - 18*z**4 - 14*z**3 - 24*z**2 - 11*z + 11. Let f(n) = n**5 + 6*n**4 + 4*n**3 + 8*n**2 + 4*n - 4. Let l(g) = -4*c(g) - 11*f(g). Factor l(t).
t**2*(t + 2)**3
Let v = 31 + -28. Factor 5*l**2 + 2*l**v - 1 + 1 - 7*l**3.
-5*l**2*(l - 1)
Factor 2/7*i**2 + 0 + 12/7*i**4 + 2*i**3 + 0*i.
2*i**2*(i + 1)*(6*i + 1)/7
Suppose -164*x = -118*x. What is h in 1/3*h**3 + x + 1/3*h**2 + 0*h 