 q(u) be the first derivative of 5*u**6/6 - 6*u**5 + 15*u**4 - 50*u**3/3 + 15*u**2/2 - 23. Factor q(y).
5*y*(y - 3)*(y - 1)**3
What is q in -116*q**2 + 7 + 25*q + 23 + 121*q**2 = 0?
-3, -2
Let x = -364 + 1829/5. Let b = x + -71/45. Let b + 0*q + 0*q**3 - 4/9*q**2 + 2/9*q**4 = 0. What is q?
-1, 1
Suppose -n + 5*n - 16 = 0. Let -p**5 + 3*p**2 + 3*p**5 - 4*p**n - 2*p + p**2 = 0. Calculate p.
-1, 0, 1
Let f(a) be the first derivative of -36/7*a - 4/21*a**3 - 4 + 12/7*a**2. Let f(j) = 0. What is j?
3
Let t(f) be the first derivative of f**4/6 - 2*f**3/3 - 13. Factor t(b).
2*b**2*(b - 3)/3
Let c = -8 - -13. Factor 5 + 8*w**2 - c - 2*w**5 - 12*w**3 - 2*w + 8*w**4.
-2*w*(w - 1)**4
Let g(b) be the first derivative of -1/3*b**6 - 9/2*b**4 - 2*b**2 - 2*b**5 + 5 - 14/3*b**3 + 0*b. Factor g(m).
-2*m*(m + 1)**3*(m + 2)
Let h(s) be the third derivative of -s**7/30 - 19*s**6/120 + s**5/10 - 2*s**2 + 38*s. Find i, given that h(i) = 0.
-3, 0, 2/7
Suppose -h + 75 = 24*h. Find d such that 6*d**2 - h - 21/2*d = 0.
-1/4, 2
Let j = 0 - -1/3. Let g(t) be the first derivative of -j*t**3 + t**2 + 2 - t. Factor g(c).
-(c - 1)**2
Let y = 12 - 0. Suppose -2*c + 0*c + 4 = 2*p, 0 = 3*c - 3*p - y. Factor -1/2 - 1/2*s**5 - 1/2*s**4 + s**c - 1/2*s + s**2.
-(s - 1)**2*(s + 1)**3/2
Let k(a) be the second derivative of -a**5/90 + a**4/18 - a**3/9 + a**2/2 - a. Let s(u) be the first derivative of k(u). Determine c so that s(c) = 0.
1
Let s = -181/3 + 61. Determine t so that 0 + 0*t**2 + 0*t - s*t**3 + 1/3*t**4 = 0.
0, 2
Let y be (1 - 0)*4/2. Suppose 2*s = -3*f + 13, 4*f = -7*s + y*s + 22. Factor 0*v**2 - 1 + 0*v**s + v**2.
(v - 1)*(v + 1)
Let q(r) = -12*r**5 + 12*r**4 + 15*r**3 - 18*r**2 - 6*r + 6. Let w(j) = j**5 - j**3 + j. Let z(c) = -q(c) - 3*w(c). Factor z(d).
3*(d - 1)**3*(d + 1)*(3*d + 2)
Let g(m) = m**2 - 4*m + 3. Let d be g(3). Factor 0 + 4*f - 6*f**2 + d + 0*f - 10*f**3.
-2*f*(f + 1)*(5*f - 2)
Suppose y + 4 = -0. Let d be (y/(-12))/((-1)/(-6)). What is t in -1/3*t**d + 0 - 2/3*t = 0?
-2, 0
Let w(n) be the second derivative of -3*n**5/20 + 3*n**3/2 + 3*n**2 - 4*n. Factor w(v).
-3*(v - 2)*(v + 1)**2
Suppose -31 = -5*v + 69. Suppose 0 = -2*m - 5*c - v, 2*c - 3*c - 4 = 0. Factor m*y + 0 + 1/4*y**2 + 1/4*y**3.
y**2*(y + 1)/4
Suppose -3*q = -167 - 10. Factor -3*j - 60*j**2 + q*j**2 + j**4 + 3*j.
j**2*(j - 1)*(j + 1)
Let p be (-16)/(-5) - 1/5. Suppose 0*n + v = -2*n + 3, p*n - 1 = -5*v. Factor -n*g + 6*g**2 + 2 - 5*g**2 - 1.
(g - 1)**2
Suppose 4*a = -5*p + 115, 2*a - 4*a - 3*p = -57. Let x = a - 148/5. Factor 0 - x*w**3 + 0*w + 2/5*w**2.
-2*w**2*(w - 1)/5
Suppose -3*l - 4*u = -26, -2*u = -3*l + u + 33. Let o be l/(-50) - (-2)/5. Factor 1/5*g**2 + o*g + 0.
g*(g + 1)/5
Solve 19 - 3*t - 9*t + 4 + 2*t**2 - 5 = 0.
3
Let m(g) be the second derivative of g**7/42 - g**6/6 + g**5/2 - 5*g**4/6 + 5*g**3/6 - g**2/2 - 4*g. Factor m(a).
(a - 1)**5
Factor 4/3*h**2 - 2/3*h**3 + 14/3*h + 8/3.
-2*(h - 4)*(h + 1)**2/3
Suppose 2*d - 5*o = -3*d + 5, 3*d - 8 = -2*o. Factor 4*u**4 - 6*u**4 + 0*u**d + 2*u**2.
-2*u**2*(u - 1)*(u + 1)
Let j(p) = -11*p + 12. Let m(v) = 5*v - 6. Let z(y) = 6*j(y) + 13*m(y). Let k be z(-6). Factor -s**2 - s**4 + k*s**3 - 3*s**3 + 5*s**3.
-s**2*(s - 1)**2
Let j(n) = 7*n**2 - 4*n + 6. Let w(g) = 15*g**2 - 9*g + 13. Let u(i) = -13*j(i) + 6*w(i). Factor u(b).
-b*(b + 2)
Let j(o) be the second derivative of -o**4/54 - 2*o**3/27 - 15*o. Factor j(k).
-2*k*(k + 2)/9
Let k(o) be the third derivative of -o**8/2016 + o**7/1260 + o**6/360 - o**5/180 - o**4/144 + o**3/36 + 5*o**2. Factor k(w).
-(w - 1)**3*(w + 1)**2/6
Let u = 1660 + -8299/5. Factor -u*f + 0 - 1/5*f**2.
-f*(f + 1)/5
Suppose -3*h + 4 = -2*h. Factor h*t**2 - 6 - 8*t + 6 + 4.
4*(t - 1)**2
Let g(r) be the second derivative of -r**7/420 + r**6/90 - r**5/60 - r**3/3 - 2*r. Let s(i) be the second derivative of g(i). Factor s(y).
-2*y*(y - 1)**2
Let n(d) be the second derivative of 0*d**3 - 1/54*d**4 - 3*d + 1/9*d**2 + 0. What is k in n(k) = 0?
-1, 1
Let s(n) be the second derivative of n**6/360 + n**5/180 - n**2/2 + n. Let b(c) be the first derivative of s(c). Factor b(f).
f**2*(f + 1)/3
Let k(n) = 4*n**2 - n + 5. Let g(b) = -b**2 - 1. Let v(x) = -15*g(x) - 3*k(x). Factor v(w).
3*w*(w + 1)
Let q(m) be the second derivative of -m**5/420 + m**4/28 - 3*m**3/14 - 5*m**2/2 - 5*m. Let s(y) be the first derivative of q(y). Factor s(j).
-(j - 3)**2/7
Let f(i) be the second derivative of i**8/2240 - i**7/840 + 7*i**4/12 - 6*i. Let q(t) be the third derivative of f(t). Factor q(z).
3*z**2*(z - 1)
Let t(z) = 2*z**2 - 3*z. Let q be t(2). Let y be (q + -5)*(-8)/132. What is x in -4/11 + 32/11*x**2 - 14/11*x**5 - 68/11*x**3 + y*x + 52/11*x**4 = 0?
-2/7, 1
Suppose -6*j = -j - 10. Let s(c) be the first derivative of -3 + 1/9*c**3 - 1/6*c**j + 0*c. Factor s(y).
y*(y - 1)/3
Factor 305*k**2 - 2*k**5 - 120*k**3 + 32*k - 24*k + 26*k**4 - 136*k - 81*k**2.
-2*k*(k - 4)**3*(k - 1)
Let g = -8 - -9. Let m be 1 - (0 + -2 + g). Factor 2/5*d**5 + 0*d**3 + 0 - 2/5*d + 4/5*d**m - 4/5*d**4.
2*d*(d - 1)**3*(d + 1)/5
Let r = 1180 + -113279/96. Let t(o) be the third derivative of -1/24*o**3 + 3*o**2 + 0*o - r*o**4 + 1/240*o**5 + 1/480*o**6 + 0. Factor t(d).
(d - 1)*(d + 1)**2/4
Let j = 927 - 925. Factor 1 - 3/2*n**j + 1/2*n**3 + 1/2*n**4 - 1/2*n.
(n - 1)**2*(n + 1)*(n + 2)/2
Let g(z) be the first derivative of z**4/32 + z**3/12 - z**2/4 - z - 29. Factor g(c).
(c - 2)*(c + 2)**2/8
Let i(l) be the first derivative of -2*l**5/65 - 5*l**4/26 - 16*l**3/39 - 4*l**2/13 + 14. Let i(k) = 0. What is k?
-2, -1, 0
Let t = 35 + -35. Let b be 0 + (-7)/((-140)/12). Find j, given that b*j + t + 3/5*j**2 = 0.
-1, 0
Let l = -4/53 - -134/371. Let 2/7*h**3 + 0*h - 2/7*h**5 + 0 - 2/7*h**2 + l*h**4 = 0. What is h?
-1, 0, 1
Factor 0*n + 0*n**2 + 1/4*n**3 - 1/4*n**4 + 0.
-n**3*(n - 1)/4
Solve -9/4*t**2 + 5/4*t + 7/4*t**3 - 1/2*t**4 - 1/4 = 0 for t.
1/2, 1
Let b(j) be the third derivative of j**6/240 + j**5/120 - j**4/48 - j**3/12 - 10*j**2. Suppose b(y) = 0. What is y?
-1, 1
Let b(v) be the third derivative of v**6/780 + v**5/130 + v**4/52 + v**3/39 + 37*v**2. Determine j so that b(j) = 0.
-1
Let r = 4 + 2. Factor -2*w**3 - 4 + 3*w**4 + 1 + r*w - 5*w**3 + w**3.
3*(w - 1)**3*(w + 1)
Let c(l) = 3*l + 6 - 3*l - 4*l + 0*l**2 + 3*l**2. Let q(z) = z. Let h(i) = c(i) - 5*q(i). Let h(n) = 0. What is n?
1, 2
Let k(m) be the second derivative of 0 + 0*m**3 - 1/6*m**4 + 1/2*m**2 + 1/30*m**6 + 0*m**5 - 2*m. Determine x, given that k(x) = 0.
-1, 1
Let u(y) be the third derivative of y**6/540 + y**5/60 + y**4/18 - y**3/2 + 2*y**2. Let a(g) be the first derivative of u(g). Suppose a(m) = 0. What is m?
-2, -1
Let t = -25 - -27. Let p(o) be the second derivative of 0*o**2 + 0 - 1/3*o**3 - 1/6*o**4 - t*o. Factor p(s).
-2*s*(s + 1)
Let i(k) = -20*k**3 - 12*k**2 + 10*k + 17. Let t(m) = 21*m**3 + 12*m**2 - 9*m - 18. Let x(g) = 6*i(g) + 5*t(g). Determine c, given that x(c) = 0.
-1, -4/5, 1
Factor u**2 + 0*u + 0 + u**3 + 1/4*u**4.
u**2*(u + 2)**2/4
Let k(s) be the first derivative of 6*s + 8*s**2 + 5/2*s**3 - 9/8*s**4 + 4. Factor k(n).
-(n - 3)*(3*n + 2)**2/2
Let q(r) be the third derivative of -4*r**7/1575 - 17*r**6/900 - 2*r**5/45 - r**4/45 + 2*r**2 - 3. Factor q(k).
-2*k*(k + 2)**2*(4*k + 1)/15
Factor 8*h**2 + 4*h**3 - 14*h**3 - 4 + 20*h**2 - 6*h**3 - 8*h.
-4*(h - 1)**2*(4*h + 1)
Let f be ((-3)/(-6))/(3/30). Find i, given that i**3 - 2 - 2*i**4 + 5*i**5 + 2 - 4*i**f = 0.
0, 1
Let u(m) be the second derivative of -m**7/21 + m**6/5 - 2*m**4/3 + 10*m. Find a, given that u(a) = 0.
-1, 0, 2
Let j(a) be the first derivative of 4/21*a**3 + 1/21*a**6 - 1/7*a**4 - 2/35*a**5 - 2/7*a + 7 + 1/7*a**2. What is y in j(y) = 0?
-1, 1
Let i(n) = 3*n**2 + 9*n - 3. Let q(m) = -m**2 - 8*m + 3. Let b(v) = -2*i(v) - 3*q(v). Solve b(s) = 0 for s.
1
Solve -12/7 - 20/7*a + 8/7*a**2 = 0.
-1/2, 3
Let b = 6 - 3. Determine v, given that -2 - 4*v**b + 2*v**2 + 6*v**3 + 0*v**2 - 2*v + 0*v**3 = 0.
-1, 1
Let s(u) = -u**2 - 4*u - 1. Let d be s(-3). Suppose -2*v + 5*x = d*x, 5*v = -4*x + 23. Factor 4 + v*h**2 - 3 - 4*h**2.
-(h - 1)*(h + 1)
Let m(o) = -o**3 - 11*o**2 - 11*o - 8. Let s be m(-10). Factor 1/2*g + 1/4*g**s + 0.
g*(g + 2)/4
Let l = 27/38 + -4/19. Let f be ((-136)/48 - -3)/((-1)/(-3)). Let -l*w + 0 + f*w**2 = 0. Calculate w.