**2
Let f(p) be the first derivative of p**4/10 + 2*p**3/3 - 6*p**2/5 - 80. Let f(z) = 0. What is z?
-6, 0, 1
Let t(r) be the first derivative of r**6/30 + r**5/25 - 3*r**4/10 - 4*r**3/15 + 4*r**2/5 - 269. Find b, given that t(b) = 0.
-2, 0, 1, 2
Let t(j) be the third derivative of j**5/240 + j**4/16 + 5*j**3/24 - 31*j**2. Solve t(q) = 0 for q.
-5, -1
Determine k so that -9/4*k**2 + 1/4*k**4 + 9/4*k + 0 - 1/4*k**3 = 0.
-3, 0, 1, 3
Let k(s) = s - 2. Let g be k(4). Let u be (1 - 2)*g*-1. Find c such that -14/3*c**5 + 0 - 2/3*c**u + 17/3*c**4 - 1/3*c**3 + 0*c = 0.
-2/7, 0, 1/2, 1
Let h(k) be the second derivative of -k**4/36 - 2*k**3/3 - 10*k**2/3 + 70*k. Factor h(n).
-(n + 2)*(n + 10)/3
Let x be 6/((60/8)/5). Factor -27*m**4 + 11*m**4 + 13*m**x.
-3*m**4
Let k(c) = 3*c**3 - 390*c**2 - 17418*c - 255552. Let u(q) = 4*q**3 - 389*q**2 - 17417*q - 255552. Let z(j) = -7*k(j) + 6*u(j). Factor z(g).
3*(g + 44)**3
Let x(z) be the third derivative of -1/28*z**4 + 1/28*z**5 - 21*z**2 + 0*z + 0 + 0*z**3. Factor x(v).
3*v*(5*v - 2)/7
Let s(c) be the third derivative of c**6/180 + c**5/6 + 25*c**4/12 - c**3 + 3*c**2. Let w(n) be the first derivative of s(n). Factor w(x).
2*(x + 5)**2
Let q(n) be the first derivative of n**5/15 - n**4/2 - 8*n**3/3 - n**2 + 13. Let p(r) be the second derivative of q(r). Determine u, given that p(u) = 0.
-1, 4
Suppose 0 = -5*c + 3*s - 41, -c + 18 = -3*c + 2*s. Let g(f) = -f**3 - 6*f**2 + 7*f + 2. Let w be g(c). Factor -12*u**3 - 36*u - 4*u**3 - 4*u**3 - 48*u**w - 8.
-4*(u + 1)**2*(5*u + 2)
Let j(m) be the first derivative of -4 + 4/7*m**3 + 4/7*m**2 + 2/35*m**5 + 2/7*m + 2/7*m**4. Factor j(c).
2*(c + 1)**4/7
Solve -5*r**5 + 44*r**2 + 35*r - 40*r**4 - 38*r**2 + 34*r**2 - 30*r**3 = 0.
-7, -1, 0, 1
Let q(z) = z**3 + 5*z**2 - 16*z - 1. Let v be q(-8). Let k be 4*v/(-100) - (-2)/5. Factor -18/7*p**k + 10/7*p**2 + 0 - 2/7*p + 2*p**4 - 4/7*p**5.
-2*p*(p - 1)**3*(2*p - 1)/7
Let b(u) be the second derivative of 0 + 29*u + 1/70*u**5 - 1331/7*u**2 + 121/7*u**3 - 11/14*u**4. Solve b(t) = 0 for t.
11
Suppose -168 = -r + 7*r. Let m be ((-2)/r)/((-18)/(-36)). Factor 0 + 1/7*j**4 - m*j - 3/7*j**3 + 3/7*j**2.
j*(j - 1)**3/7
Let f(w) be the third derivative of -w**9/12096 - w**8/1008 - w**7/336 + 5*w**5/12 - 16*w**2. Let k(b) be the third derivative of f(b). Let k(d) = 0. What is d?
-3, -1, 0
Let i = -14017/5 - -2805. Let -12/5*d**2 - 18/5*d - 2/5*d**3 - i = 0. Calculate d.
-4, -1
Let 39 + 8*d**2 - 11*d**2 - 9*d - 9 = 0. Calculate d.
-5, 2
Let y(u) be the third derivative of u**6/540 + 14*u**5/135 + 19*u**4/9 + 64*u**3/3 + 70*u**2 + 1. Factor y(c).
2*(c + 6)**2*(c + 16)/9
Let y(b) = -5*b**3 - 3*b**2 + 5*b + 7. Let c(h) = 135*h**3 + 80*h**2 - 135*h - 190. Let t(s) = s - 3. Let r be t(5). Let q(d) = r*c(d) + 55*y(d). Factor q(o).
-5*(o - 1)*(o + 1)**2
Suppose -10*g - 5*r + 1129 = -6*g, g = 4*r + 256. Let n = -275 + g. Factor 2/3*d + n - 1/3*d**2.
-(d - 3)*(d + 1)/3
Let k(x) = x**3 + x**2 - 4*x. Suppose 0 = z - 1 - 0. Let p(g) = g**2 - g - 1. Let m(u) = z*k(u) - 4*p(u). Factor m(v).
(v - 2)**2*(v + 1)
Let c be (6 - 6)/(0 + -2). Suppose c*o = 2*o - 4. Factor 20*q + q**4 + q**o - 9*q - 3*q**3 - 8*q - 2.
(q - 2)*(q - 1)**2*(q + 1)
Solve 2/5*q + 0*q**3 - 2/5*q**5 - 8/5*q**4 - 12/5 + 4*q**2 = 0.
-3, -2, -1, 1
Suppose -2*t = 17*t - 0*t - 5*t. Let l be (-2)/(-1) - 10/6. Let -l*m**2 + t*m + 0 = 0. Calculate m.
0
Let u(j) = 4*j**3 + 37*j**2 + 35*j + 20. Let z(b) = b**3 + 9*b**2 + 9*b + 5. Let t(d) = 4*u(d) - 18*z(d). Factor t(p).
-2*(p + 1)**2*(p + 5)
Let i(f) = 12*f**2 - 8*f + 4. Let x(r) = 4*r**2 - 2*r + 1. Let a(y) = 12*y**2 - 6*y + 3. Let h(l) = -2*a(l) + 7*x(l). Let m(k) = -8*h(k) + 3*i(k). Factor m(v).
4*(v - 1)**2
Factor -5*z**3 - 50*z + 19 + 15 + 4*z**2 + 6 + 10*z**3 + z**2.
5*(z - 2)*(z - 1)*(z + 4)
Let k(t) be the second derivative of t**7/98 + t**6/10 + 9*t**5/35 - 4*t**4/7 - 32*t**3/7 - 72*t**2/7 + 93*t - 2. Suppose k(c) = 0. What is c?
-3, -2, 2
Let x be ((-3)/6)/(3/(-6)). Let z(m) = -9*m**3 + 2*m**2 + 6*m. Let j = -39 - -44. Let w(f) = -f**2. Let n(a) = j*w(a) + x*z(a). Solve n(p) = 0.
-1, 0, 2/3
Let o(q) = -q**2. Let m be -3 + (0 - -14)/2. Let s(z) = m*z + 14 - 16*z - z**2 - 2. Let k(h) = -4*o(h) + s(h). Find v such that k(v) = 0.
2
Let s(q) be the first derivative of 0*q - 1/12*q**3 + 1/4*q**2 + 1. Factor s(l).
-l*(l - 2)/4
Let z(a) = 3*a**2 - 4*a - 3. Suppose 4*g + 3 = -3*s - 3, 0 = 3*s + 2*g. Let y(m) = 4 - 4 + 3*m + 3 + m**s - 4*m**2. Let q(k) = 4*y(k) + 3*z(k). Factor q(i).
-3*(i - 1)*(i + 1)
Let u(m) be the first derivative of -3*m**5/10 - 57*m**4/16 - 65*m**3/4 - 279*m**2/8 - 135*m/4 - 90. Let u(c) = 0. Calculate c.
-3, -5/2, -1
Let t(i) be the first derivative of i**6/24 - 7*i**4/16 - i**3/2 + 168. Factor t(y).
y**2*(y - 3)*(y + 1)*(y + 2)/4
Suppose 2*f + 2*w = -3 + 7, 2*f + 4*w = 0. Let j(x) be the second derivative of -3*x + 1/3*x**3 + 0 + 1/2*x**f + 1/8*x**5 + 0*x**2. Factor j(i).
i*(i + 2)*(5*i + 2)/2
Let a(u) be the second derivative of -u**4/12 + 19*u**3/60 + u**2/10 + 8*u + 4. Factor a(d).
-(d - 2)*(10*d + 1)/10
Suppose -4 = v - 0, 3*f + 5*v = -14. Let l(z) be the first derivative of -5 + 0*z**f - 1/8*z**4 + 1/30*z**5 + 1/9*z**3 + 0*z. Factor l(g).
g**2*(g - 2)*(g - 1)/6
Let g(n) be the second derivative of n**7/420 - n**6/300 - 3*n**5/40 - 23*n**4/120 - n**3/6 - 2*n + 45. Let g(l) = 0. Calculate l.
-2, -1, 0, 5
Let o(r) = 8*r**3 - r**2 + r. Let c be o(1). Suppose -4*x + 0*x + c = 0. Factor 32*k**4 - 4*k**5 + 4*k**2 + x*k**5 - 3*k**5 - 22*k**3 - 9*k**5.
-2*k**2*(k - 1)**2*(7*k - 2)
Factor 0 + 1/2*j**3 + 45/2*j - 23*j**2.
j*(j - 45)*(j - 1)/2
Let b(u) = -u**2 + u - 1. Let y(h) = 2*h - 6*h - 32*h - 44 + 76 + 28*h**2. Let v(c) = 24*b(c) + y(c). Factor v(a).
4*(a - 2)*(a - 1)
Let k(g) = -7*g**2 + 17*g - 23. Let u(i) = -15 - 24 - 7*i**2 - i**2 + 18*i + 15. Let o(c) = -6*k(c) + 5*u(c). Solve o(j) = 0.
3
Suppose -4*g = 2*s + g - 29, 2*s - g = -1. Let u(o) be the first derivative of 0*o**4 + 0*o**3 + 0*o**s + 2/65*o**5 + 9 + 0*o. Determine r, given that u(r) = 0.
0
Let u(z) = z**2 + 3*z + 4. Let w be u(-2). Factor -18*x**w + x**2 + 8 - 3*x**2 - 12*x.
-4*(x + 1)*(5*x - 2)
Let t(k) = -7 + 7*k - 7*k**2 - 10 + 0*k + 11 - k**3. Let m be t(-8). Factor 2*d + m + 1/2*d**2.
(d + 2)**2/2
Let i(w) be the third derivative of -w**7/7560 + w**6/540 - w**5/120 + 11*w**4/24 + 19*w**2. Let b(s) be the second derivative of i(s). What is q in b(q) = 0?
1, 3
Factor -9*c**2 + 16*c + 24*c**2 - 2*c - 19*c**2 + 14*c.
-4*c*(c - 7)
Let h(w) = 2*w**2 + 3*w - 5. Let n = 160 - 157. Let t(d) be the third derivative of d**5/10 + d**4/3 - 7*d**3/3 - d**2. Let v(r) = n*t(r) - 8*h(r). Factor v(o).
2*(o - 1)*(o + 1)
Let r(o) be the second derivative of o**5/80 - 11*o**4/16 + 85*o**3/8 + 289*o**2/8 - o - 22. Solve r(b) = 0.
-1, 17
Let d(t) be the second derivative of 2/45*t**6 + t + 0*t**2 - 1/9*t**4 + 4/9*t**3 - 2/15*t**5 + 6. Determine k, given that d(k) = 0.
-1, 0, 1, 2
What is q in -q**2 + 0*q**2 - 53474 + 420*q + 9374 = 0?
210
Let j(o) = 8*o - 12. Let b be j(-6). Let i = -56 - b. Find v, given that 14/3*v**3 + 0 - 8/3*v**i - 2/3*v - 4/3*v**2 = 0.
-1/4, 0, 1
Let d = 21421 + -3298811/154. Let j = d - -3/22. Determine g, given that 0*g - j*g**2 + 2/7 = 0.
-1, 1
Suppose -5*b + 16 = -4. Suppose -5*x - 57 = -2*a, 0 = -a - 3*x + 6 + 6. Suppose 11*d**b + 22*d**4 + 6*d**2 + 15*d**4 + 33*d**3 + a*d**5 = 0. What is d?
-1, -2/7, 0
Let o(y) be the first derivative of -2*y**2 - 1/120*y**6 - 7 + 1/36*y**5 - 1/36*y**4 + 0*y + 0*y**3. Let j(m) be the second derivative of o(m). Factor j(u).
-u*(u - 1)*(3*u - 2)/3
Factor 11/9*a**3 + 0 - 1/9*a**4 - 20/9*a - 8/9*a**2.
-a*(a - 10)*(a - 2)*(a + 1)/9
Factor 589*d**4 - 31*d**3 - 605*d**4 - 72 - d**5 - 58*d**3 - 206*d**2 - 204*d.
-(d + 1)**2*(d + 2)*(d + 6)**2
Let y(x) be the first derivative of -2*x**3/9 + 2*x/3 - 78. Factor y(z).
-2*(z - 1)*(z + 1)/3
Let u(d) = -21*d**4 + 45*d**3 - 40*d**2 + 3*d - 13. Let s(y) = -5*y**4 + 11*y**3 - 10*y**2 + y - 3. Let v(c) = 26*s(c) - 6*u(c). Suppose v(g) = 0. What is g?
0, 1, 2
Let d(z) be the second derivative of -z**6/105 - z**5/14 + 73*z. Find n, given that d(n) = 0.
-5, 0
Determine z, given that -11/7*z - 2/7*z**2 + 12/7 + 1/7*z**3 = 0.
-3, 1, 4
Let q(y) = -3*y**5 - 13*y**4 - 5*y**3 + 5. Let p(j) 