-1, -1/3, 1, 3
Let y(p) = p + 21. Let s be y(-19). Factor -k + 2*k**2 + 5*k**2 + k**s - 2*k**2 - 5*k**3.
-k*(k - 1)*(5*k - 1)
Let r(s) be the second derivative of s**6/90 - s**5/30 - 7*s**4/36 + 4*s**3/9 + 2*s**2 - 170*s. Solve r(u) = 0.
-2, -1, 2, 3
Let a be 153/21 + 2 + 36/(-126). Let g(j) be the second derivative of 0 + 0*j**3 + 0*j**2 - a*j + 1/20*j**4. Find q, given that g(q) = 0.
0
Let j be 12/(-476) - (-17)/119. Factor j*q**3 + 2/17*q + 0 - 4/17*q**2.
2*q*(q - 1)**2/17
Let h(t) be the second derivative of 0*t**4 + 1/100*t**5 + 9*t + 0*t**2 + 0 - 2/15*t**3. Factor h(r).
r*(r - 2)*(r + 2)/5
Find y such that -4/3*y**4 - 176/3*y - 64 + 64/3*y**2 + 44/3*y**3 = 0.
-2, -1, 2, 12
Let p(w) be the first derivative of w**4/4 + w**3 - 5*w**2/2 - 2*w - 4. Let x be p(-4). Factor -7*n + 5*n**2 + 3*n - 19*n**x.
-2*n*(7*n + 2)
Factor -9/2*l**4 - 12*l - 27/4*l**5 + 69/4*l**3 + 0 + 6*l**2.
-3*l*(l - 1)**2*(3*l + 4)**2/4
Let x be -1 + -1 + -3 - (-13 + 5). Let t(z) be the third derivative of 0 + 5*z**2 + 1/30*z**5 - z**x - 1/6*z**4 + 0*z. Solve t(d) = 0 for d.
-1, 3
Factor 3/4*w**4 - 3/2*w**3 - 3/4 + 0*w**2 + 3/2*w.
3*(w - 1)**3*(w + 1)/4
Let c(w) be the first derivative of -w**5/90 + w**4/18 - w**3/9 + 23*w**2/2 + 22. Let i(b) be the second derivative of c(b). What is k in i(k) = 0?
1
Let n(b) be the second derivative of -b**5/150 + 7*b**4/45 - 4*b**3/3 + 24*b**2/5 - 80*b + 5. Factor n(h).
-2*(h - 6)**2*(h - 2)/15
Let p(l) be the third derivative of -l**8/84 - 4*l**7/105 + 3*l**6/10 + 14*l**5/15 - 10*l**4/3 - 16*l**3 - 56*l**2 - l. Suppose p(k) = 0. Calculate k.
-3, -2, -1, 2
Let l(g) = -3*g**2 - 2*g**2 - 6*g**2 + 92 - 48*g + 3*g**2. Let d(b) = -3*b**2 - 19*b + 37. Let u(a) = 12*d(a) - 5*l(a). Factor u(m).
4*(m - 1)*(m + 4)
Let u(k) be the third derivative of -k**6/1500 + 7*k**5/150 - 323*k**4/300 + 289*k**3/75 + 185*k**2. Factor u(w).
-2*(w - 17)**2*(w - 1)/25
Let m be 847/(-33) + (-2)/(-3). Let b = m + 32. Determine o so that 2*o**3 - 8*o**2 - b*o**2 + 10*o**3 - 3*o**4 + 0*o**4 + 6*o = 0.
0, 1, 2
Let z(f) be the third derivative of f**6/420 - f**5/14 + f**4/6 - 2*f**2 + 5. Factor z(t).
2*t*(t - 14)*(t - 1)/7
Factor 10 - 9983*k + 4990*k + 4990*k - k**2.
-(k - 2)*(k + 5)
Let b(h) = h**3 + 3*h - 3. Let m be b(2). Let c = -6 + m. Factor 3*v**2 - c*v**5 + 5*v - 7*v**5 - 27*v**3 + 40*v**4 - 2*v - 7*v**4.
-3*v*(v - 1)**3*(4*v + 1)
Solve 1/5*m**3 + 8/5 - 4/5*m - 2/5*m**2 = 0.
-2, 2
Let c(r) = -r**2 + 10*r. Let h be c(10). Let m = 41 - 37. Factor -4*q**3 + m*q**5 + 0*q + h*q + 14*q**4 - 8*q**2 - 6*q**4.
4*q**2*(q - 1)*(q + 1)*(q + 2)
Let o(q) be the first derivative of -28*q**3/3 - 50*q**2 - 48*q + 120. Factor o(j).
-4*(j + 3)*(7*j + 4)
Let w(j) be the first derivative of -2*j**7/105 + j**6/10 - 2*j**5/15 + 2*j**2 + 5. Let g(n) be the second derivative of w(n). Determine h, given that g(h) = 0.
0, 1, 2
Let l = -468 + 473. Suppose 2/9*y**2 - 2/3*y**l + 2/3*y**3 + 0 - 2/9*y**4 + 0*y = 0. What is y?
-1, -1/3, 0, 1
Suppose -6*k + 0*m = -3*m - 27, -2*k - m + 3 = 0. Determine y, given that -2/5*y**2 + 2/5 - 2/15*y**k + 2/15*y = 0.
-3, -1, 1
Factor 14/3 - 5/3*k - 1/3*k**2.
-(k - 2)*(k + 7)/3
Let x be -1 + 31 - (0/(-3))/(-7). Suppose 5*m**4 + 15*m**4 - 45*m + 65*m**3 + x*m**2 + 25*m**2 + 55*m = 0. What is m?
-2, -1, -1/4, 0
Let n = -5 - -8. Suppose -2*k + 1 = -4*p + 5*p, -3*k + 4*p = -29. Find a, given that 0*a**5 + k*a**4 - 2*a**5 + a**5 + 0*a**2 + a**2 - 3*a**n = 0.
0, 1
Let a be 432/(-400)*(-15)/9. Factor -3/5*o**3 + 9/5 + 3/5*o - a*o**2.
-3*(o - 1)*(o + 1)*(o + 3)/5
Let l(i) be the first derivative of i**5/40 - i**4/8 + i**3/4 - i**2/4 - 2*i + 15. Let u(f) be the first derivative of l(f). Factor u(d).
(d - 1)**3/2
Let f(u) be the third derivative of -u**7/1155 - u**6/660 + u**5/55 + u**4/33 - 8*u**3/33 + 22*u**2 + 5*u. Determine n, given that f(n) = 0.
-2, 1, 2
Factor 2/5*v**2 + 48/5 - 10*v.
2*(v - 24)*(v - 1)/5
Let u(z) be the third derivative of z**5/15 - 10*z**4/3 + 200*z**3/3 + 14*z**2 + 2*z. Solve u(w) = 0.
10
Let h(o) be the second derivative of -10*o - 1/66*o**4 - 2/33*o**3 + 0 - 1/11*o**2. Factor h(q).
-2*(q + 1)**2/11
Suppose 5*d - d - 8 = 0. Factor 3/2 - 9/2*b - 21/8*b**d.
-3*(b + 2)*(7*b - 2)/8
Let c(y) = y**3 + 5*y**2 + 19*y + 41. Let f be c(-3). Determine o, given that 44/3*o**3 - 16/3*o**f - 4/3*o - 8*o**4 + 0 = 0.
-1/6, 0, 1
Let v(r) be the third derivative of -r**5/140 + 3*r**4/7 + 25*r**3/14 + 2*r**2 + 27. Find n, given that v(n) = 0.
-1, 25
Let b(a) be the third derivative of -a**7/70 + a**6/40 + a**5/5 - a**4/2 + a**2 + 1. Let b(i) = 0. What is i?
-2, 0, 1, 2
Let u(s) = -52*s - 518. Let o be u(-10). Factor -6/5*q**o - 9/5*q - 3/5.
-3*(q + 1)*(2*q + 1)/5
Let i be -29 - (-13704)/432 - 2/4. Factor 8/9*w**3 - i*w + 2*w**2 - 2/3.
2*(w - 1)*(w + 3)*(4*w + 1)/9
Let i(h) be the third derivative of -h**8/336 + 2*h**7/35 - 7*h**6/30 + h**5/10 + 29*h**4/24 - 3*h**3 + 265*h**2. What is k in i(k) = 0?
-1, 1, 2, 9
Let w(l) be the first derivative of 3/4*l**2 - 1/6*l**3 + 0*l + 2. Determine r, given that w(r) = 0.
0, 3
Let t = 135 - 3239/24. Let h(s) be the second derivative of -1/80*s**5 - t*s**4 + 0 - 1/24*s**3 + 0*s**2 - 2*s. Factor h(l).
-l*(l + 1)**2/4
Let n(o) be the second derivative of -1/60*o**5 + 0*o**3 + 0*o**2 + 0 - 1/36*o**4 + 12*o. Factor n(b).
-b**2*(b + 1)/3
Let a(f) be the second derivative of 300763*f**5/50 - 13467*f**4/10 + 603*f**3/5 - 27*f**2/5 + 757*f. What is x in a(x) = 0?
3/67
Let p = 82/249 + 1/249. Factor -2/3*q**2 + 1/3 - p*q.
-(q + 1)*(2*q - 1)/3
Let x(q) = -70*q**2 + 1619*q - 482. Let p(n) = 35*n**2 - 809*n + 242. Let y(a) = -11*p(a) - 6*x(a). Determine s, given that y(s) = 0.
2/7, 23
Let u(r) be the second derivative of 1/35*r**6 + 12/7*r**2 + 39/140*r**5 + 0 + 15/14*r**4 + 2*r**3 - 7*r. Let u(g) = 0. What is g?
-2, -1/2
Suppose -136 = 22*v - 56*v. Let r(f) be the first derivative of -v + 4/15*f**3 - 2/5*f + 1/5*f**2. Factor r(b).
2*(b + 1)*(2*b - 1)/5
Suppose 7*o - 561 = 531. Suppose -z + 4*z + 165 = u, -453 = -3*u - 5*z. Suppose o*i - u*i - 2*i**2 = 0. What is i?
0
Suppose 3*k + o - 39 = 0, 4*k + 2*o - 6 = 48. Suppose 0 = 9*i - k*i. Factor i*w**3 - 2/7*w**4 + 0*w - 2/7 + 4/7*w**2.
-2*(w - 1)**2*(w + 1)**2/7
Suppose 5*z = 4*v + 37, -49 + 82 = 3*v + 3*z. Factor w**v - 2/3*w - 1/6*w**4 - 4/3 + 1/6*w**3.
-(w - 2)**2*(w + 1)*(w + 2)/6
Let s(o) = -2*o**2 + 2*o + 11. Let v be s(-6). Let a = -217/3 - v. Determine r so that -1/3*r + a - 1/3*r**2 = 0.
-2, 1
Factor 154*j**2 - 1/3*j**3 - 23716*j + 3652264/3.
-(j - 154)**3/3
Factor -128/3 - 2/3*q**3 + 128/3*q**2 + 2/3*q.
-2*(q - 64)*(q - 1)*(q + 1)/3
Let n(u) be the first derivative of 0*u + 8*u**2 + 4*u**5 - 19*u**4 + 11 + 64/3*u**3. Factor n(m).
4*m*(m - 2)**2*(5*m + 1)
Let k(m) be the first derivative of 5*m**3/3 + 5*m**2 + 5*m - 529. Let k(h) = 0. Calculate h.
-1
Let f = -355/13 - -2537/91. Solve 0*j**4 - 6/7*j + f - 4/7*j**2 - 2/7*j**5 + 8/7*j**3 = 0.
-2, -1, 1
Let y be ((-12)/(-30))/(4/20). Solve -2*z + 3*z + y*z - 2 + z**2 - 4*z = 0 for z.
-1, 2
Let s(f) be the third derivative of -f**6/450 - f**5/75 - f**4/30 - 11*f**3/6 - 23*f**2. Let k(o) be the first derivative of s(o). Let k(z) = 0. What is z?
-1
Determine i so that -23*i - 32*i - 30*i**3 - 74*i**2 - 17 - 4 - i**4 + i**5 - 12*i = 0.
-3, -1, 7
Factor 0*r**3 - 3/2*r**2 + 0 + 1/2*r**4 + r.
r*(r - 1)**2*(r + 2)/2
Let y(b) be the third derivative of 0*b + 1/240*b**5 - 24*b**2 + 1/96*b**4 + 0 - 1/12*b**3. Determine i, given that y(i) = 0.
-2, 1
Let b(x) be the second derivative of -x**5/48 - 19*x**4/144 + 29*x**3/72 - 5*x**2/24 - 52*x. Factor b(p).
-(p - 1)*(p + 5)*(5*p - 1)/12
Let w be ((-80)/45 - -2) + (-12)/(-54). Suppose -3*b = -8*b + 15. What is p in -2/3*p**2 + 2/3*p**4 + 4/9*p + 0 - w*p**b = 0?
-1, 0, 2/3, 1
Factor -128*j**4 - 12*j**4 - 43*j**3 - 28*j**3 + 36*j**5 - 64*j**4 - 6*j**2.
j**2*(j - 6)*(6*j + 1)**2
Factor 0 + 1/5*x + 3/5*x**4 + x**2 + 7/5*x**3.
x*(x + 1)**2*(3*x + 1)/5
Solve 9/4*q**3 + 0*q + 0*q**2 + 0 - 1/8*q**5 + 17/8*q**4 = 0 for q.
-1, 0, 18
Let m be ((-1316)/21 + 6)*(-19)/190. Let -5 + 31/3*i + 1/3*i**3 - m*i**2 = 0. Calculate i.
1, 15
Let s = 12 - 8. Let y(u) = -12*u**2 - 12*u + 4. Let q be (-6 - (-6)/(-1)) + 11. Let d(h) = h**3 - h + 1. Let n(j) = q*y(j) + s*d(j). What is w in n(w) = 0?
-2, -1, 0
Factor 50*f