/5*r**3 - 6/5*r**2 + 0 - 9/5*r**5 + 12/5*r**4 + 0*r.
-3*r**2*(r - 1)**2*(3*r + 2)/5
Let -95*g**2 + 212*g**2 - 114*g**2 - 25*g - 44*g = 0. What is g?
0, 23
Factor 5*m**3 + 12*m**2 - 11*m**2 - 10*m**4 + m**3 + 20*m**2 + 12*m + 7*m**4.
-3*m*(m - 4)*(m + 1)**2
Let c = 8271 - 32917/4. Let j = 42 - c. Let 1/4 - j*z**3 - 3/4*z + 3/4*z**2 = 0. What is z?
1
Let g(d) be the first derivative of d**5/72 + 35*d**4/72 + 245*d**3/36 - 3*d**2 + 9. Let t(p) be the second derivative of g(p). What is b in t(b) = 0?
-7
Let n(k) be the third derivative of k**9/20160 + k**8/3360 + k**7/1680 - 7*k**5/30 + 8*k**2. Let l(g) be the third derivative of n(g). Factor l(v).
3*v*(v + 1)**2
Let l(a) be the second derivative of 0 + 17*a - 1/100*a**5 - 1/10*a**2 + 1/60*a**4 + 1/30*a**3. Factor l(j).
-(j - 1)**2*(j + 1)/5
Suppose -4*j - 1 = v, 2*v + 1 = 3*j + 10. Factor -4 - 7*f**v - 5*f**3 + 2*f**5 - 10*f**3 + 6*f + 4*f**2 + 14*f**3.
2*(f - 1)**3*(f + 1)*(f + 2)
Let x(k) = -27*k - 10. Let q be x(-7). Let l = -179 + q. Factor l - 2/13*p**2 + 6/13*p.
-2*p*(p - 3)/13
Let j = -73 - -71. Let m(i) = 19*i**3 + 155*i**2 + 317*i + 139. Let y(h) = 10*h**3 + 78*h**2 + 158*h + 70. Let g(u) = j*m(u) + 5*y(u). Factor g(r).
4*(r + 3)**2*(3*r + 2)
Let -56/3*s**2 - 56/3*s + 2/3*s**5 + 64/3 + 26/3*s**3 + 20/3*s**4 = 0. Calculate s.
-8, -2, 1
Let w = -20 + 22. Let h(c) = 66*c**5 - 12*c**4 + 27*c**3 - 27*c + 27. Let j(q) = 5*q**5 - q**4 + 2*q**3 - 2*q + 2. Let b(i) = w*h(i) - 27*j(i). Factor b(p).
-3*p**4*(p - 1)
Find r, given that -160/3 - 20/3*r + 5/3*r**2 = 0.
-4, 8
Let w(i) = -3 + 111*i**2 - 2 - 110*i**2. Let x(j) = -j**2 + 2*j - 2. Let k be x(2). Let t(m) = -6. Let l(v) = k*t(v) + 3*w(v). Factor l(h).
3*(h - 1)*(h + 1)
What is h in 5*h**2 + 74*h - 4*h**2 + 0*h**2 + h**2 - 19 + 91 = 0?
-36, -1
Let 19208/5 + 2/5*a**2 - 392/5*a = 0. Calculate a.
98
Let o be ((-11)/4)/(2912/(-5248)). Let q = -57/13 + o. Determine l, given that 0*l**2 + 0 + 4/7*l**5 + q*l**4 - 8/7*l**3 + 0*l = 0.
-2, 0, 1
Suppose -a = -0*a - 15. Let g = a + -11. Determine l so that -4*l**3 - 2*l**3 - 8*l**2 + 2*l**3 - g*l = 0.
-1, 0
Let s be -223 + 229 - (0 + 6). Solve -1/2*j**3 + 1/2*j + s*j**2 + 0 = 0 for j.
-1, 0, 1
Suppose 29*x - 28*x = 3. Factor -180*g**4 + 10*g**3 + 8*g + 21*g**2 - 58*g**x + 0*g**2 + 7*g**2.
-4*g*(3*g + 1)**2*(5*g - 2)
Let j(a) be the third derivative of -a**8/3864 - a**7/345 + 2*a**6/345 - 414*a**2. Let j(l) = 0. Calculate l.
-8, 0, 1
Factor -2296*o + 2296*o + 30*o**4 + 25*o**3 + 5*o**5.
5*o**3*(o + 1)*(o + 5)
Let w(i) = 2*i - 13. Let a be w(5). Let z(v) = v**2 + 2*v. Let r be z(a). Factor -r*o**3 - 2*o**2 + 5*o**4 + 3*o**4 - 9*o**4.
-o**2*(o + 1)*(o + 2)
Suppose -6*k = -179 - 241. Suppose -k*a + 65*a = 0. Find m such that a + 1/5*m**2 - 1/5*m = 0.
0, 1
Suppose 0 = -g - 1 + 4. Factor 2 - 5*h**3 + 66 + 3*h**g - 4 - 12*h**2.
-2*(h - 2)*(h + 4)**2
Suppose 0 = 46*u - 45*u - 2. Solve -3/4*a**3 - 1/4*a**4 - 1/2*a + 5/4*a**u + 1/4*a**5 + 0 = 0 for a.
-2, 0, 1
Let h(a) be the third derivative of 5*a**8/336 - a**7/15 - 3*a**6/20 + 8*a**5/15 + 37*a**4/24 + a**3 - 236*a**2 - a. Let h(m) = 0. Calculate m.
-1, -1/5, 2, 3
Solve 12/13 - 2/13*x - 2/13*x**2 = 0 for x.
-3, 2
Let b(o) be the first derivative of -3/5*o + 1/5*o**3 + 0*o**2 + 45. Factor b(g).
3*(g - 1)*(g + 1)/5
Let y(n) = 7*n**4 - n**3 + 6*n**2 - 2*n. Let w = 5 + -50. Let a be (5 - 1)/((-30)/w). Let z(t) = 8*t**4 + 6*t**2 - 2*t. Let q(p) = a*y(p) - 5*z(p). Factor q(m).
2*m*(m - 1)**3
Let z be 7/(-2)*392/343 - -4. Suppose 15/2*m**3 - 5*m**2 - 5*m**4 + z + 5/4*m**5 + 5/4*m = 0. What is m?
0, 1
Let d be 81/1701*(0 - -24). Solve -4/7*s + 4/7*s**3 - 8/7*s**2 + d = 0.
-1, 1, 2
Let m(b) = 6*b**4 + 33*b**3 - 79*b**2 + 30*b - 10. Let h(s) = s**4 - s**3 - 2*s - 2. Let t(x) = 15*h(x) - 3*m(x). Find p, given that t(p) = 0.
-40, 0, 1
Let z(l) be the second derivative of l**6/2340 - l**4/156 - 13*l**3/3 - 15*l. Let q(r) be the second derivative of z(r). Let q(c) = 0. What is c?
-1, 1
Let y = 6087 - 66911/11. Determine g so that 78/11*g**3 + 0 - 8/11*g - 40/11*g**5 + y*g**4 - 16/11*g**2 = 0.
-1, -1/4, 0, 2/5, 2
Let t(q) be the third derivative of q**8/112 - q**7/14 + 7*q**6/40 - 3*q**5/20 - 105*q**2. Determine s so that t(s) = 0.
0, 1, 3
Factor -688*w**2 - 70*w**5 - 16372 + 10944*w - 348*w**3 - 9028 + 74*w**5 + 56*w**4 + 4664 - 32*w**4.
4*(w - 4)**3*(w + 9)**2
Let w = 25 + -25. Let -2*f**4 + 20*f**5 + 2*f**2 + 3*f**2 - 3*f**4 - 20*f**3 + w*f**5 = 0. Calculate f.
-1, 0, 1/4, 1
Let u(c) be the third derivative of -11*c**2 + 32/3*c**3 + 0*c - 4/3*c**4 + 1/15*c**5 + 1. Find h, given that u(h) = 0.
4
Let i(p) be the first derivative of 5/6*p**2 - 1/3*p**4 - 4/15*p**5 + 2/9*p**3 - 1/18*p**6 + 2/3*p + 4. Factor i(k).
-(k - 1)*(k + 1)**3*(k + 2)/3
Let j(t) be the second derivative of -t**4/24 + t**3 + 13*t**2/4 - 95*t - 2. Solve j(a) = 0.
-1, 13
Let z(w) be the third derivative of w**8/1344 + w**7/280 - 7*w**6/240 - 3*w**5/40 + 13*w**4/96 + 5*w**3/8 + 8*w**2. Let z(o) = 0. Calculate o.
-5, -1, 1, 3
Let y(d) = -84*d**4 - 572*d**3 - 1852*d**2 - 1268*d - 32. Let u(q) = -13*q**4 - 88*q**3 - 285*q**2 - 195*q - 5. Let r(p) = 32*u(p) - 5*y(p). Factor r(g).
4*g*(g + 1)*(g + 5)**2
Let c = -16311/4 - -4079. Find o such that o**2 + c*o + 1/2 + 1/4*o**3 = 0.
-2, -1
Let z(g) be the second derivative of -13/80*g**5 + 3/16*g**4 + 1/24*g**3 - 27*g + 1/24*g**6 - 1/4*g**2 + 0. Determine t so that z(t) = 0.
-2/5, 1
Let c(s) = -2*s**3 + 5*s**2 + 2*s + 5. Let k be c(3). Factor 57*u**4 + 9*u**5 - 11*u**k + 9 + 137*u**2 + u + 56*u + 126*u**3.
3*(u + 1)**3*(u + 3)*(3*u + 1)
Determine n, given that -96*n**2 - 16*n**3 + 33*n**2 - 36*n**3 + 3*n**4 - 8*n**3 = 0.
-1, 0, 21
Suppose -30*o - 18 = -108. Let l = 366 + -1082/3. Let -8*b - o - l*b**2 = 0. What is b?
-3/4
Let u(z) be the second derivative of z**5/25 - 4*z**4/3 + 34*z**3/15 + 76*z**2/5 - 258*z. Suppose u(a) = 0. Calculate a.
-1, 2, 19
Let q be 8 + -1 + -1 + -1. Determine f so that -q + 3 - 12*f - 6 - 3*f**2 - 4 = 0.
-2
Solve 28*v - 3*v**3 - 2/3*v**2 - 24 - 1/3*v**4 = 0 for v.
-6, 1, 2
Suppose -3*r - 5*m + 87 = 0, 2*m = -3*r + 45 + 33. Factor -3*v**3 + v**2 - r - 6*v + 20*v**2 - 6*v**2.
-3*(v - 4)*(v - 2)*(v + 1)
What is k in k**2 - 18*k**4 - 5*k**5 - 6*k**4 - 24*k**4 - 2*k**5 + 5*k**2 - 35*k**3 = 0?
-6, -1, 0, 1/7
Let a be (-1)/(3 - 156/48). Suppose -10*f**3 + 28/3*f**2 - 6*f**a + 8*f - 16/3 = 0. What is f?
-2, -1, 2/3
Let t be (-2)/9 - 1180/(-45). Find k, given that -2 + 26*k**3 + 18*k**2 - 1 - t*k - 22*k**4 - 2 + 9 = 0.
-1, 2/11, 1
Let y(o) = -o**2 - 8*o + 182. Let q be y(10). Suppose 12/7*u**3 - 3/7*u**q - 12/7*u + 3/7 = 0. What is u?
-1, 1/4, 1
Let q be 3/6 + 4/(-8). Let f(d) = d**3 - 13*d**2 - 30*d. Let b be f(15). Factor q - 3/4*h**2 - 3/2*h**3 + b*h.
-3*h**2*(2*h + 1)/4
Let u(r) be the second derivative of r**6/840 - r**5/420 + 12*r**2 - 25*r. Let m(n) be the first derivative of u(n). Find p such that m(p) = 0.
0, 1
Let z(x) be the first derivative of x**4/2 - 10*x**3/3 - 44*x**2 - 120*x + 878. Factor z(l).
2*(l - 10)*(l + 2)*(l + 3)
Let h be 6/(-15)*(-3 - 2/(-4 - -3)). Factor h*k**3 + 0 - 16/5*k - 4/5*k**2.
2*k*(k - 4)*(k + 2)/5
Let p = -50/593 + 2136/11267. Factor 4/19*u**3 + 0 - p*u**2 + 0*u - 2/19*u**4.
-2*u**2*(u - 1)**2/19
Let v = 972 - 52487/54. Let h(j) be the second derivative of 1/27*j**3 - v*j**4 + 0 + 2/9*j**2 - 10*j. Factor h(i).
-2*(i - 2)*(i + 1)/9
Factor -10*t**3 + 0 + 31*t**5 - 5*t + 10*t**2 + 31*t**5 + 5*t**4 - 63*t**5 + 1.
-(t - 1)**5
Let v(r) be the third derivative of 1/360*r**6 + 28*r**2 + 0*r**3 + 0 + 0*r**4 + 0*r - 1/60*r**5. Factor v(q).
q**2*(q - 3)/3
Let b be (-6352)/(-16) + 0 + -5. Factor 5*g**2 + 3*g**2 + b - 5*g**2 - g**2 - 56*g.
2*(g - 14)**2
Suppose 0 = -888*l + 898*l - 30. Determine n, given that 9/7*n**2 + 0 - 2/7*n - n**l = 0.
0, 2/7, 1
Let d(y) be the first derivative of 0*y - 2*y**2 + 3/4*y**4 + 1/6*y**6 + 4/3*y**3 - 4/5*y**5 - 30. Factor d(z).
z*(z - 2)**2*(z - 1)*(z + 1)
Let a be (6 - 1)*(28/20 - 1). Let j be (-2 - a) + ((-768)/42)/(-4). Solve 10/7*r + j + 2/7*r**3 + 8/7*r**2 = 0.
-2, -1
Let z = 81 + -76. Factor -15 - 9 - z*b**2 + 2*b - 6 - 37*b.
-5*(b + 1)*(b + 6)
Let b(w) be the first derivative of -1/3*w**3 + 4*w + 0*w**2 - 32. Factor b(i).
-(i - 2)*(i + 2)
Let w(g) be the first derivative of 2*g**5/