?
1, 4
Let f(u) = 6*u**5 + 6*u**4 + 4*u**3 - 4*u**2 + 22*u - 2. Let y(x) = -x**5 - x**3 - 2*x. Let s(n) = f(n) + 8*y(n). Factor s(k).
-2*(k - 1)**4*(k + 1)
Let g(f) = 2*f - 1. Let q be g(3). Let k = 49/2 + -24. Factor 3/2*b**4 - b**3 - b**2 - 1/2 + 3/2*b - k*b**q.
-(b - 1)**4*(b + 1)/2
Suppose -4*m + 4*o + 8 = 28, -4*o = 3*m + 15. Let n be 42/15 - 1/m. Find l, given that 4*l**2 - 4*l - l + 2*l**n + 0*l - l = 0.
-3, 0, 1
Suppose -i + 2*b + 58 = -2*b, -3*b - 91 = -2*i. Let z = 40 - i. Find g such that 8*g + 8/9 + 18*g**z = 0.
-2/9
Let b(q) = q**3 - q**2 - 11*q - 4. Let i be b(4). Solve 80*j + 0 + 170*j**2 - 15*j**4 + i + 95*j**3 + 20*j**2 = 0.
-1, -2/3, 0, 8
Suppose -2/3*a**5 + 0 + 8/3*a**2 - 4*a**3 + 8/3*a**4 - 2/3*a = 0. What is a?
0, 1
Let k(y) be the third derivative of -y**8/2240 - y**7/280 - y**6/160 + 7*y**3/2 + 21*y**2. Let n(i) be the first derivative of k(i). Factor n(h).
-3*h**2*(h + 1)*(h + 3)/4
Let a(w) be the third derivative of -w**5/270 - 7*w**4/108 - 2*w**3/9 + 156*w**2. Let a(m) = 0. What is m?
-6, -1
Determine j so that -5*j**2 - 4*j**2 + 8*j**2 + 58*j + 6*j**2 - 3*j**2 = 0.
-29, 0
Let h(d) be the first derivative of -4*d**5 - 18*d**4 - 28*d**3/3 + 12*d**2 - 266. Solve h(n) = 0 for n.
-3, -1, 0, 2/5
Let y(b) = 3*b**5 - 24*b**4 - 45*b**3 - 30*b**2 - 6*b + 6. Let s(g) = -g**5 + g**4 + 2*g**3 + 2*g**2 + g - 1. Let a(x) = 6*s(x) + y(x). Let a(u) = 0. What is u?
-3, -2, -1, 0
Let y(h) be the first derivative of 3/5*h**5 + 2 + 15/2*h**2 - 6*h - 3/4*h**4 - 3*h**3. Determine n, given that y(n) = 0.
-2, 1
Let m = 48 - 45. Let -54*r - 81*r + 32*r**4 + 50*r**3 - 90*r**2 + 167 + 5*r**5 - 32 + m*r**4 = 0. What is r?
-3, 1
Let a(c) be the second derivative of 3*c**5/160 + 9*c**4/32 - 13*c**3/4 - 9*c + 9. Find d, given that a(d) = 0.
-13, 0, 4
Let a(k) be the first derivative of -2*k**3/3 - k**2 + 60*k + 252. Factor a(v).
-2*(v - 5)*(v + 6)
Let r(n) be the second derivative of 4*n**7/105 - 14*n**6/45 + 5*n**5/12 - n**4/4 + 11*n**3/3 - 22*n. Let h(q) be the second derivative of r(q). Factor h(v).
2*(v - 3)*(4*v - 1)**2
Let k(c) = c**2 - 6*c - 176. Let h be k(17). Let t(f) be the first derivative of -1 + 18*f**2 - 45/2*f**4 - 12*f - 15*f**5 + h*f**3. Factor t(v).
-3*(v + 1)**2*(5*v - 2)**2
Let j(t) = -t**2 + 6. Let m be j(0). Let i = 8 - m. Find a, given that -6*a - a**i + 0*a - 15 + 0*a + 6 = 0.
-3
Let v(q) be the third derivative of -8*q**2 + 0*q - 1/102*q**4 + 0*q**3 + 0 - 1/170*q**5. Factor v(g).
-2*g*(3*g + 2)/17
Let y(m) be the first derivative of 3*m**5/5 - 33*m**4/4 + 10*m**3 + 128. Factor y(u).
3*u**2*(u - 10)*(u - 1)
Let w(u) be the second derivative of -1/14*u**3 + 12*u + 1/70*u**6 - 1/98*u**7 + 3/14*u**2 - 1/14*u**4 + 3/70*u**5 + 0. Factor w(i).
-3*(i - 1)**3*(i + 1)**2/7
Let f be (1048/40)/((-2)/(-10)) - -2. Factor 2*c - 8*c**2 - 2*c - 137*c**3 + f*c**3.
-4*c**2*(c + 2)
Let d be (-90)/108 - (1/(-3))/((-5)/(-20)). Find x, given that -d*x**2 + 0 - 1/2*x**3 + x = 0.
-2, 0, 1
Let h(s) be the second derivative of s**6/150 - s**5/100 - s**4/10 + 101*s. Factor h(d).
d**2*(d - 3)*(d + 2)/5
Let l(h) = -14*h**2 - 6*h - 6. Let n(a) = a**3 - 14*a**2 - 7*a - 5. Let o(c) = -5*l(c) + 6*n(c). Factor o(t).
2*t*(t - 3)*(3*t + 2)
Let t be 10/(-135)*75/(-10). Let v(l) be the first derivative of -1 - 1/18*l**4 - 4/9*l - 2/9*l**3 + 2/45*l**5 + t*l**2. Factor v(z).
2*(z - 1)**3*(z + 2)/9
Determine k, given that -6*k**2 - 264*k**3 + 86*k**2 + 800*k + 266*k**3 = 0.
-20, 0
Let o(u) be the first derivative of u**4/42 - 2*u**3/3 + 7*u**2 - 4*u - 5. Let x(r) be the first derivative of o(r). Find i, given that x(i) = 0.
7
Let y(v) be the first derivative of -2 + 1/2*v**2 - 3*v + 1/12*v**4 + 1/3*v**3. Let g(r) be the first derivative of y(r). Let g(c) = 0. Calculate c.
-1
Let c(n) be the third derivative of -13*n**2 + 1/160*n**6 - 1/840*n**7 - 1/1344*n**8 + 1/48*n**5 + 0*n**3 + 0*n + 0 + 1/48*n**4. Factor c(k).
-k*(k - 2)*(k + 1)**3/4
Let w(k) be the first derivative of -k**5/5 + 2*k**4 - 7*k**3/3 + 48. Solve w(x) = 0 for x.
0, 1, 7
Suppose 60 + 3*c**4 - 45*c**2 + 406*c + 0*c**3 - 418*c - 6*c**3 = 0. What is c?
-2, 1, 5
Determine d so that -1024/21 + 638/21*d**3 + 68/21*d**4 + 2/21*d**5 - 640/21*d + 956/21*d**2 = 0.
-16, -2, -1, 1
Let h(g) = -2*g**2 + 52*g - 240. Let t be h(6). Factor 0*f + 0 + 5/6*f**3 + 0*f**2 - 5/6*f**5 + t*f**4.
-5*f**3*(f - 1)*(f + 1)/6
Let y be (-18)/(-8) + (-15)/60. Determine p so that 5*p**y + p**5 - 2*p**3 - 3*p**2 + p - 1 + 4*p**4 - 5*p**4 = 0.
-1, 1
Let i(a) be the first derivative of -a**6/480 + a**4/32 - a**3/12 - 13*a**2/2 - 24. Let t(m) be the second derivative of i(m). Factor t(g).
-(g - 1)**2*(g + 2)/4
Let f(u) = -u**3 + 4*u**2 - 3*u. Let i be f(2). Let o be 4 + (-6)/i + 9/(-12). What is y in -o*y**2 + 1/4*y + 0 = 0?
0, 1
Let q = 2 - -34. Let f be (-1 + -2)*(-4)/q. Factor 0 + 1/3*i**2 - f*i - 1/3*i**4 + 1/3*i**3.
-i*(i - 1)**2*(i + 1)/3
Factor -9 + 1/3*k**3 - 29/3*k**2 + 55/3*k.
(k - 27)*(k - 1)**2/3
Let n(m) = -7*m**3 - 26*m**2 + 39*m - 6. Let i(l) = 8*l**3 + 24*l**2 - 40*l + 8. Let d(f) = -3*i(f) - 4*n(f). Factor d(h).
4*h*(h - 1)*(h + 9)
Let h(x) be the second derivative of -x**5/4 - 20*x**4/3 - 70*x**3 - 360*x**2 + 94*x. Factor h(g).
-5*(g + 4)*(g + 6)**2
Let a = -10441/12030 + 1/802. Let c = a - -97/60. Factor -c*z**3 + 2*z**2 + 0 - z.
-z*(z - 2)*(3*z - 2)/4
Let f(o) = 2*o**2 + 4*o - 2. Let q be f(-3). Suppose q*z - 16 = 2*m, -5*z + 8*z = 4*m + 7. Factor -2*c - 2/3*c**m - 4/3.
-2*(c + 1)*(c + 2)/3
Suppose -2/15*f**3 + 16*f + 544/15 + 6/5*f**2 = 0. Calculate f.
-4, 17
Let r = -199 - -406. Find g such that -232*g - 20*g**2 + r*g - 3*g**3 - 10 - 2*g**3 = 0.
-2, -1
Let t = -4671/5 - -935. Factor 0 + t*x**2 - 8/5*x.
4*x*(x - 2)/5
Let o(f) = -2*f**4 + f**2 - f + 1. Let g(r) = 9*r**4 - 111*r**3 + 1071*r**2 - 753*r - 1947. Let m(l) = g(l) + 3*o(l). Let m(x) = 0. What is x?
-1, 2, 18
Determine o so that -8/9*o + 2/9*o**3 + 16/9 - 4/9*o**2 = 0.
-2, 2
Let h(b) = 4*b**2 - 322*b + 12796. Let x(i) = -25*i**2 + 1933*i - 76774. Let c(s) = -13*h(s) - 2*x(s). Factor c(l).
-2*(l - 80)**2
Let b be (-1*(-1)/(-3))/((-12)/432). Determine x, given that 0*x**2 + 33*x**2 - 84*x + b + 24*x**3 + 15*x**3 = 0.
-2, 2/13, 1
Factor -3/2*f + 1/4*f**2 + 0.
f*(f - 6)/4
Let d = 134728043/23732605 - -2/365117. Let q = d - 66/13. What is c in -c**4 + 0 + q*c**3 - 4/5*c**5 + c**2 + 1/5*c = 0?
-1, -1/4, 0, 1
Let t be (9/(-18))/(2/(-12)). Suppose 0 = t*g - 1 - 8. Factor g*x**3 + 6*x**2 + 12*x + 8 - 5*x**3 + 3*x**3.
(x + 2)**3
Let i(g) = g**3 - 5*g**2 + 7*g - 10. Let x be i(4). Suppose -14 = -3*m + x*d, 5*m = 3*m - 2*d + 6. Factor -z**m - 5 + 10*z**2 + z**4 - 5*z**4.
-5*(z - 1)**2*(z + 1)**2
Factor 14/5*o**3 + 658/5*o + 98/5 - 194/5*o**2.
2*(o - 7)**2*(7*o + 1)/5
Let f = 1 - -2. Suppose -4*q + t = -7, -q + f*t = q - 1. Factor 5*g**2 - 2*g**q - 10 - 2 + g**2 + 8*g.
4*(g - 1)*(g + 3)
Let r(b) be the second derivative of b**4/24 - 85*b**3/12 - 43*b**2/2 - 147*b - 2. Factor r(a).
(a - 86)*(a + 1)/2
Let p(v) be the first derivative of v**5 - 5*v**3 - 5*v**2 + 63. Find a, given that p(a) = 0.
-1, 0, 2
Let h(w) = 3*w**4 + 7*w**3 - 7*w**2 - 7*w + 4. Let u(j) = 3*j**4 + 6*j**3 - 6*j**2 - 6*j + 3. Let c(p) = 3*h(p) - 4*u(p). Let c(k) = 0. Calculate k.
-1, 0, 1
Let w(v) be the second derivative of 5*v**4/12 + 5*v**3/2 - 10*v**2 - 18*v. Factor w(x).
5*(x - 1)*(x + 4)
Factor 2/11*t**2 - 86/11*t + 84/11.
2*(t - 42)*(t - 1)/11
Determine a, given that -17*a - 4*a**2 + 12*a + 45*a + 185 - 29 = 0.
-3, 13
Let s(d) be the first derivative of -3*d**4/20 - 58*d**3/5 - 171*d**2/10 + 388. Suppose s(r) = 0. Calculate r.
-57, -1, 0
Let k = 11/16 + -3/16. Let l be (-110)/(-180) + (-16)/(-18) + -1. Factor l*g**2 + k*g + 0.
g*(g + 1)/2
Let r = -4192 - -20988/5. Determine y so that -r*y**4 - 12/5*y**3 + 28/5*y**2 - 8/5*y + 4*y**5 + 0 = 0.
-1, 0, 2/5, 1
Let k = 225 + -223. Let g(o) be the first derivative of -4*o**2 - 4/3*o**3 + 0*o + 9 + 4/5*o**5 + k*o**4. Factor g(j).
4*j*(j - 1)*(j + 1)*(j + 2)
Let n(o) = o**3 + 2*o. Let k(t) = -5*t**4 + 42*t**3 - 105*t**2 + 94*t. Let g(j) = -k(j) + 2*n(j). Let g(h) = 0. What is h?
0, 2, 3
Let g = 202 - 139. Let j be g/(-28)*3*8/(-36). Find p, given that p**3 + 1/2*p**5 - j*p + p**2 + 1/2 - 3/2*p**4 = 0.
-1, 1
Suppose 0*v = 5*b - 3*v + 35, -b + 5*v + 15 