 0*c + 7*c**2 - 5/8*c**4 - 7/160*c**6 + 0 - 13/40*c**5. Factor a(b).
-3*(b + 2)**2*(7*b - 2)/4
Let 101*w - 17*w + 161*w + 60 - 9*w**2 + 29*w**2 = 0. Calculate w.
-12, -1/4
Suppose -2*u - u + 5*n + 7 = 0, 5*u + 3*n - 23 = 0. Factor -u*a**4 - a**4 + 6*a**4.
a**4
Let s(d) be the third derivative of d**9/120960 - d**8/40320 - d**7/10080 + d**6/1440 + d**5/60 + 5*d**2. Let q(l) be the third derivative of s(l). Factor q(a).
(a - 1)**2*(a + 1)/2
Let h be 90/240 - 2/(-16). Let 0 + 3/2*a**3 + h*a - 3/2*a**2 - 1/2*a**4 = 0. What is a?
0, 1
Let q(s) be the second derivative of s**5/4 - 15*s**4/4 + 45*s**3/2 - 135*s**2/2 - 32*s. What is z in q(z) = 0?
3
Let j(c) be the second derivative of -c**5/120 + 13*c**4/72 + 29*c**3/36 + 5*c**2/4 + 2*c - 4. Factor j(w).
-(w - 15)*(w + 1)**2/6
Suppose -z = 2*j + 9 - 16, 0 = -2*z + 6. Factor 0 + 0*f - 1/2*f**j.
-f**2/2
Suppose 8 + 0 = -4*l. Let d be (l/(-10))/(1/2). Factor 6/5*h + 2/5*h**3 - 6/5*h**2 - d.
2*(h - 1)**3/5
Let c(l) = 2*l**2 - l - 10. Let h be c(3). Let s(y) be the first derivative of 0*y**3 + 2/11*y - 3 - 2/55*y**h + 1/11*y**4 - 2/11*y**2. Factor s(r).
-2*(r - 1)**3*(r + 1)/11
Let s(d) be the first derivative of -d**8/112 - d**7/70 + 3*d**6/40 + d**5/4 + d**4/4 + 3*d**2/2 - 3. Let k(q) be the second derivative of s(q). Factor k(m).
-3*m*(m - 2)*(m + 1)**3
Let n = -26 - -28. Suppose 4*t + 22 - n = 2*v, -3*t = 3*v + 6. Factor -1/7*u + 0 - 1/7*u**3 - 2/7*u**v.
-u*(u + 1)**2/7
Let d(r) = r. Let o be d(2). Suppose -2 + 14 = 3*l. Factor 0 - o*m**2 - l*m - 5 + 3.
-2*(m + 1)**2
Let z(u) = 2*u + 1. Let w(b) = -b + 1. Let j(q) = -6*w(q) - 2*z(q). Let f be j(6). Find a such that -2*a - 4*a**3 + 4*a**2 + 2*a**f - 2/5*a**5 + 2/5 = 0.
1
Suppose -396*h**2 + 203*h**2 - 15*h**3 + 5*h**5 + 203*h**2 = 0. Calculate h.
-2, 0, 1
Factor -277*o - 6*o**2 + 277*o + 2*o**3.
2*o**2*(o - 3)
Let g(q) be the second derivative of 11*q**7/126 - 2*q**6/9 - q**5/15 + 11*q**4/18 - 7*q**3/18 - q**2/3 - 3*q. Suppose g(x) = 0. Calculate x.
-1, -2/11, 1
Let p be 13/5 + 2/5. Let y(h) = -4*h + 3. Let j be y(-3). Determine w so that -j*w**2 + w**3 - 3*w**p - 4*w + 9*w**2 = 0.
-2, -1, 0
Let u = 861 + -7724/9. What is n in -16/9 - 40/9*n - u*n**2 = 0?
-4/5
Suppose 4/3 - 20/3*p**2 + 2*p - 14*p**3 - 20/3*p**4 = 0. What is p?
-1, -1/2, 2/5
Let -3/2*y**4 - 3/2*y**3 + 0*y + 0 + 3/2*y**2 + 3/2*y**5 = 0. What is y?
-1, 0, 1
Suppose i + 0*i = 2. Solve n - 7*n + i*n**2 + 5 - 1 = 0.
1, 2
Let y(c) be the second derivative of -c**6/225 - 2*c**5/75 - c**4/18 - 2*c**3/45 + 40*c. Factor y(j).
-2*j*(j + 1)**2*(j + 2)/15
Suppose 3 = 2*q + 4*m - 1, 0 = 2*m - 10. Let t be 2/q + 65/20. Factor -2/9*j + 0 - 2/9*j**t - 4/9*j**2.
-2*j*(j + 1)**2/9
Let p(i) be the first derivative of i**5/30 + i**4/12 - i**2 + 1. Let o(n) be the second derivative of p(n). Factor o(w).
2*w*(w + 1)
Let u(y) = -y**2 - 10*y - 4. Let a(g) be the first derivative of g**3 + 21*g**2/2 + 9*g + 4. Let h(x) = 4*a(x) + 9*u(x). Let h(k) = 0. What is k?
0, 2
Factor -128/7*c - 64/7 - 10/7*c**3 + 76/7*c**2.
-2*(c - 4)**2*(5*c + 2)/7
Suppose 2/9*o**2 - 14/9*o + 0 = 0. What is o?
0, 7
Let o = 6 + -6. Suppose l + 0 - 2 = o. Let -k**l - k**2 - k**2 + 2*k + k**2 = 0. What is k?
0, 1
Let i(k) be the second derivative of -k**7/14 - 2*k**6/5 - 3*k**5/10 + k**4 + 3*k**3/2 + 31*k. Find c such that i(c) = 0.
-3, -1, 0, 1
Let t = -3 + 5. Suppose 16 = 6*w - t*w. What is s in -s + s - 2*s**2 + 2*s**w = 0?
-1, 0, 1
Let i(v) = 2*v - 16. Let w be i(8). Let n(o) be the third derivative of -1/6*o**4 - 1/30*o**5 + w + 0*o + o**2 - 1/3*o**3. Factor n(y).
-2*(y + 1)**2
Suppose 0*h + 12 = 3*h. Suppose 3 + 2 = -5*g + 5*f, 2*f = h*g - 6. Factor 2*z**4 + 5*z**2 - z**g - z**3 + 5*z**3 + 2*z.
z*(z + 1)**2*(z + 2)
Let r(j) = 3*j**2 - 37*j - 22. Let f be r(13). Solve -1/4*v**3 + 0*v + 0 + 0*v**2 - 1/2*v**f - 1/4*v**5 = 0.
-1, 0
Let g(i) be the second derivative of 27*i**4/5 + 24*i**3/5 + 8*i**2/5 + i. Let g(a) = 0. Calculate a.
-2/9
Let s(r) be the third derivative of r**7/70 - r**6/20 - r**5/20 + r**4/4 + 19*r**2. What is i in s(i) = 0?
-1, 0, 1, 2
Let f(k) be the third derivative of -k**5/120 + k**4/24 - k**3/12 + 31*k**2. Solve f(w) = 0 for w.
1
Suppose -11*k + 0*k = -9*k. Let y(v) be the second derivative of -1/3*v**3 + k + 4*v - 1/4*v**4 + 0*v**2. Factor y(r).
-r*(3*r + 2)
Let b(c) be the first derivative of 2/15*c**3 - 2/25*c**5 + 0*c + 0*c**2 + 1/10*c**4 - 1/15*c**6 + 1. Factor b(p).
-2*p**2*(p - 1)*(p + 1)**2/5
Factor 5 + 5/3*h**2 - 20/3*h.
5*(h - 3)*(h - 1)/3
Let f = -73 - -367/5. Let b(p) be the first derivative of 0*p - f*p**5 + 0*p**2 + 2/3*p**3 + 1 + 0*p**4. Factor b(c).
-2*c**2*(c - 1)*(c + 1)
Let t be 6/45*(-6)/(-104). Let s = 271/1430 - t. Factor 2/11*q**2 + 0*q + 0 + s*q**3.
2*q**2*(q + 1)/11
Let s = -104 - -109. Let a(i) be the second derivative of 2*i - 7/2*i**3 - 5/4*i**4 - 9/2*i**2 + 0 - 3/20*i**s. Factor a(j).
-3*(j + 1)**2*(j + 3)
Let n(a) be the second derivative of -2*a**6/15 - a**5/5 - 8*a. Determine j, given that n(j) = 0.
-1, 0
Let c = 264 + -1316/5. Let -2/5*v + 0*v**4 + c*v**3 - 2/5*v**5 + 0 + 0*v**2 = 0. What is v?
-1, 0, 1
Let n be 11/(-3) + 8/12. Let a = n + 5. Find k such that -2*k - 6/5*k**a - 4/5 = 0.
-1, -2/3
Let l(m) = m**3 - 6*m**2 + m - 4. Let a be l(6). Let j be (-3)/((-15)/(-12) - a). Factor -3*g**4 - g**3 + j*g**4 - g**3 + g**2.
g**2*(g - 1)**2
Let v = -6/23 - -41/69. Suppose -1/3*j**3 + 1/3*j**5 + v*j**4 - 1/3*j**2 + 0 + 0*j = 0. What is j?
-1, 0, 1
Let r(l) = l**2 + l - 1. Let c(m) = -21*m**2 + 84*m - 19. Let v(y) = c(y) + r(y). Let v(s) = 0. What is s?
1/4, 4
Suppose 0 = -5*t + n + 15, 0 = -2*n - 16 + 6. Let b(j) be the second derivative of 0*j**3 + t*j - 1/30*j**4 + 1/5*j**2 + 0. Factor b(d).
-2*(d - 1)*(d + 1)/5
Factor -1/6*u**2 - 1/6*u**5 + 1/6*u**3 + 0*u + 0 + 1/6*u**4.
-u**2*(u - 1)**2*(u + 1)/6
Let c(w) = w**2 + 1. Let g(l) = -l**3 - 9*l**2 - 3*l - 5. Let m(i) = 20*c(i) + 4*g(i). Suppose m(v) = 0. Calculate v.
-3, -1, 0
Let r(w) be the second derivative of w**5/5 + 9*w**4 + 162*w**3 + 1458*w**2 - 16*w. Solve r(q) = 0 for q.
-9
Let u(l) be the second derivative of l**6/15 - l**5/5 - 7*l**4/6 + 20*l**3/3 - 12*l**2 + 18*l. Let u(r) = 0. What is r?
-3, 1, 2
Let m(k) be the first derivative of 10*k**3/3 + 16*k**2 + 128*k/5 - 37. What is t in m(t) = 0?
-8/5
Let y(n) = -3*n**5 + 18*n**4 + 3*n**3 - 18*n**2. Let j(b) = 5*b**5 - 35*b**4 - 5*b**3 + 35*b**2. Let v(s) = -6*j(s) - 11*y(s). Factor v(w).
3*w**2*(w - 1)*(w + 1)*(w + 4)
Factor y + 16*y**3 + 0*y - 7*y - 10*y - 4*y**2 + 4*y**4.
4*y*(y - 1)*(y + 1)*(y + 4)
Let t(o) be the second derivative of -o**4/36 - o**3/18 + 6*o. Determine b, given that t(b) = 0.
-1, 0
Let a(s) = 7*s**3 - 8*s**2 - 7*s + 8. Let b(d) = 6*d**3 - 2*d - 4*d - d**2 - 6*d**2 + 7. Let x(f) = 5*a(f) - 6*b(f). Factor x(u).
-(u - 2)*(u - 1)*(u + 1)
Let 0 - 2/7*b**3 - 56*b - 8*b**2 = 0. What is b?
-14, 0
Let i(p) be the third derivative of 1/30*p**3 - 1/300*p**5 - 1/40*p**4 + 2*p**2 + 0 + 1/200*p**6 + 0*p. Factor i(r).
(r - 1)*(r + 1)*(3*r - 1)/5
Let i(n) = -2*n**2 + 2. Let u(w) = -w**3 + 9*w**2 - w - 11. Let b(j) = -11*i(j) - 2*u(j). Factor b(o).
2*o*(o + 1)**2
Factor -6*y + 2*y**2 + y**2 + 3*y**3 + 0*y.
3*y*(y - 1)*(y + 2)
Let x be 3/2 + 2/(-4). Suppose -c = 2 + x. Let l(k) = 4*k**3 - k**2 + 4*k. Let m(f) = -7*f**3 + 3*f**2 - 8*f. Let r(i) = c*m(i) - 5*l(i). Solve r(u) = 0.
0, 2
Let c = 65 - 115. Let g be 15/c + 2/4. Solve 0*y + g*y**4 - 1/5*y**2 - 1/5*y**3 + 1/5*y**5 + 0 = 0.
-1, 0, 1
What is o in -16/9*o + 14/3*o**4 - 50/9*o**2 + 16/9*o**3 + 8/9 = 0?
-1, -2/3, 2/7, 1
Let s(a) be the first derivative of a**5/48 - 7*a**4/96 + a**3/12 + 3*a**2/2 - 3. Let l(j) be the second derivative of s(j). Solve l(r) = 0 for r.
2/5, 1
Let g = -17 - -18. Let v(c) be the first derivative of 1/9*c**3 + 1/2*c**2 + g + 2/3*c. Factor v(f).
(f + 1)*(f + 2)/3
Let d(c) = c**5 + c**4 - c + 1. Let j(v) = -2*v**5 - 14*v**4 - 12*v**3 - 2*v + 2. Let z(a) = -2*d(a) + j(a). Factor z(q).
-4*q**3*(q + 1)*(q + 3)
Let d(i) be the first derivative of i**3/6 - i**2/4 + 8. Factor d(w).
w*(w - 1)/2
Let y(z) be the second derivative of 0 - 3*z + 0*z**2 + 1/6*z**3 - 1/12*z**4. Factor y(a).
-a*(a - 1)
Let b = 21/13 - 17/13. Let h = 5/26 + b. Find d, given that h*d**2 + 1/4*d - 1/2 - 1/4*d**3 = 0.
-1, 1, 2
Factor