(s) = -s**2 - 7*s - 4. Let f be t(g). Factor -1/6*u**f - 1/6 - 1/3*u.
-(u + 1)**2/6
Let v(m) be the third derivative of -m**8/336 + 6*m**7/7 - 108*m**6 + 7776*m**5 - 349920*m**4 + 10077696*m**3 - 95*m**2. Let v(y) = 0. Calculate y.
36
Let c(d) be the third derivative of d**6/24 - d**5/4 + 5*d**4/8 - 5*d**3/6 - 159*d**2. Factor c(n).
5*(n - 1)**3
Let w(s) be the second derivative of s**4/3 - 34*s**3/3 - 36*s**2 - 836*s. Find h such that w(h) = 0.
-1, 18
Let q be 2*(((-105)/6)/(-5) - 2). Suppose -5*y**3 - 12*y**3 + 16*y**3 - 2*y + 6*y + q*y**2 = 0. What is y?
-1, 0, 4
Suppose 5*u - 33 = -2*n + 15, 4*u - 2*n - 24 = 0. Factor 46*z**4 - 16*z**3 - 36*z**4 - 2*z**5 + u*z**2 + 0*z**5.
-2*z**2*(z - 2)**2*(z - 1)
Let j = 146 + -86. Factor -j*x**4 + 28*x**3 + 36*x**5 + 67 - 67 - 4*x**2.
4*x**2*(x - 1)*(3*x - 1)**2
Factor -644*x - 2*x**4 - 55 - 2*x**4 + 282*x**2 - 31*x**3 + 5*x**4 + 447.
(x - 14)**2*(x - 2)*(x - 1)
Let a = -1189 - -1191. Factor -75/7*s**a + 57/7*s**3 + 3/7*s**5 - 3*s**4 - 12/7 + 48/7*s.
3*(s - 2)**2*(s - 1)**3/7
Suppose 3*k = 1 + 5. Factor -5*z**4 - 8*z**2 - 20*z**3 - 11*z**2 + k*z**2 + 2*z**2.
-5*z**2*(z + 1)*(z + 3)
Let -5*n**4 + 0 + 35/3*n**2 - 10/3*n - 10/3*n**3 = 0. Calculate n.
-2, 0, 1/3, 1
Let v = -10894/9 + 1209. Let f = 16/9 + v. Find q such that -2/3*q + 2/3*q**3 - f*q**2 + 1/3*q**4 + 0 = 0.
-2, -1, 0, 1
Let n be ((-160)/(-5))/(-8) - (1 + 181). Let g = 563/3 + n. Factor -1/3*y**2 + g*y**4 + 0*y + 0 + y**5 + 1/3*y**3.
y**2*(y + 1)**2*(3*y - 1)/3
Let f(q) = -71*q - 7311. Let m be f(-103). Factor 1/2*l**3 + 0*l + 1/2*l**m + 0.
l**2*(l + 1)/2
Let s(m) be the second derivative of -m**7/126 + 7*m**6/90 - 19*m**5/60 + 25*m**4/36 - 8*m**3/9 + 2*m**2/3 - 2*m + 1. Suppose s(x) = 0. What is x?
1, 2
Let j be -2 - (-57)/(12/4). Let d = 32 - j. Suppose -u**3 - 2*u**2 + u**2 - d + 15 = 0. Calculate u.
-1, 0
Let z(f) be the second derivative of 3*f + 0 - 19/15*f**3 - 1/10*f**4 + 14/5*f**2. Factor z(t).
-2*(t + 7)*(3*t - 2)/5
Let b(s) be the first derivative of -s**8/840 - s**7/420 - s**3/3 + 10. Let j(w) be the third derivative of b(w). What is d in j(d) = 0?
-1, 0
Suppose -2*n = 3*z - 8, 2*n - 5*n - 1 = -2*z. Let f(m) be the first derivative of -3/4*m**4 + 0*m + 3*m**3 - 3*m**z - 2. Let f(k) = 0. Calculate k.
0, 1, 2
Suppose 0 = 4*x - 10 + 2. Determine k so that -10*k**x + k + 5 + 7*k + 4*k - 17*k = 0.
-1, 1/2
Let l(p) be the second derivative of 43/45*p**6 - 16*p - 1/18*p**4 - 20/63*p**7 - 4/5*p**5 + 2/9*p**3 + 0*p**2 + 0. Let l(b) = 0. Calculate b.
-1/4, 0, 2/5, 1
Let y = -34508/17 + 2030. Suppose 2/17*q**4 + 0*q + y + 0*q**3 - 4/17*q**2 = 0. Calculate q.
-1, 1
Let w(n) be the second derivative of n**6/45 + n + 16. Factor w(x).
2*x**4/3
Suppose -3*p - 26 = 4*z - 3, 2*z = -4. Let o be p/(-9)*(-138)/(-115). Solve -28/3*n**2 - 5*n - o = 0 for n.
-2/7, -1/4
Let p(d) = -2*d - 3. Let a be p(1). Let k be 2 + a/(5/(-2)). Suppose -4*z**3 + 6*z + k*z**2 + 9*z - 7*z = 0. Calculate z.
-1, 0, 2
Let b(g) be the second derivative of -1/108*g**4 + 4*g + 1/18*g**3 + 0 + 0*g**2. Factor b(l).
-l*(l - 3)/9
Let u(i) be the first derivative of -i**4/48 - i**3/8 + 21*i + 38. Let w(x) be the first derivative of u(x). Determine k, given that w(k) = 0.
-3, 0
Suppose -145*c + 5*j = -147*c + 4, 0 = 4*c + 3*j - 8. Find m, given that -1/2*m**5 + 27/2*m + 9/2*m**c - 15/4*m**4 - 7*m**3 - 27/4 = 0.
-3, 1/2, 1
Let c be (-10)/3*(-36)/20. Let o(s) be the third derivative of 0 - 1/16*s**4 - 1/2*s**3 + 21/80*s**c + 0*s + s**2 + 11/20*s**5. Find w, given that o(w) = 0.
-1, -1/3, 2/7
Suppose -25 = -25*k + 50. Factor 16/3*c + 4/3*c**k + 17/3*c**2 + 1.
(c + 1)*(c + 3)*(4*c + 1)/3
Let s be (-3*(-22)/16)/(3/4). Let l = 6 - s. Suppose 1/2*c**4 + 0*c - 1/2*c**2 + l*c**3 + 0 - 1/2*c**5 = 0. What is c?
-1, 0, 1
Let c = 14053/4 + -3513. Factor -3/4*r**3 - 1/2 + 1/4*r**2 + c*r**4 + 3/4*r.
(r - 2)*(r - 1)**2*(r + 1)/4
Suppose -3*q - 2*q - 20 = 2*w, q + 3*w = -17. Let z = 7 + q. Find r such that 14*r**4 + r**3 - 2*r**5 - 19*r**z + 5*r**3 + r**4 = 0.
-2/7, 0, 1
Let h(g) be the third derivative of g**7/245 + g**6/35 - 3*g**5/10 + g**4/7 + 4*g**3 - 319*g**2. Factor h(m).
6*(m - 2)**2*(m + 1)*(m + 7)/7
Let b(f) be the third derivative of -f**6/30 - 2*f**5/15 - f**4/6 - 50*f**2. Let b(w) = 0. What is w?
-1, 0
Factor 1/7*b**3 + 216/7 + 18/7*b**2 + 108/7*b.
(b + 6)**3/7
Let b(l) be the third derivative of 5*l**8/336 - l**7/7 + l**6/6 + 2*l**5 - 20*l**4/3 - 57*l**2. Solve b(z) = 0.
-2, 0, 2, 4
Suppose 70 + 38 = 27*y. Suppose y*z + 4/3*z**2 + 8/3 = 0. Calculate z.
-2, -1
Let f = 1/1394 + 348/697. Let -f*i - 1/4*i**2 - 1/4 = 0. Calculate i.
-1
Let w = 1283/7 + -183. Let v(g) = g**3 + 3*g**2 - 8*g - 14. Let n be v(-4). Factor 8/7 + w*f**n - 8/7*f.
2*(f - 2)**2/7
Let c(l) be the first derivative of 28*l**5/5 + 30*l**4 + 48*l**3 + 16*l**2 - 54. Determine j so that c(j) = 0.
-2, -2/7, 0
Let z be 7/(-2)*(504/(-98) + 5). Factor 0 + z*s**2 - 1/2*s.
s*(s - 1)/2
Let t(i) be the third derivative of -i**5/90 + 2*i**4/27 - 4*i**3/27 - 98*i**2. Let t(o) = 0. Calculate o.
2/3, 2
Let k(c) be the first derivative of -1/7*c**2 + 0*c - 2/7*c**3 - 2/35*c**5 - 12 - 3/14*c**4. Factor k(z).
-2*z*(z + 1)**3/7
Let u(s) be the third derivative of s**8/840 - 2*s**7/525 - s**6/100 - 59*s**2 + 2*s. Factor u(h).
2*h**3*(h - 3)*(h + 1)/5
Let g = 509/287 - 20/41. Solve -3/7*z**4 + 0 + 0*z**2 + g*z**3 - 12/7*z = 0.
-1, 0, 2
Let x = -449 + 451. Let s(q) be the second derivative of -1/40*q**5 + 0 - 1/2*q**2 + 1/4*q**3 + x*q + 0*q**4. Factor s(v).
-(v - 1)**2*(v + 2)/2
Let g(k) = -2*k + 19. Let n be g(8). Factor 5*x - 9*x + 8*x**n - 5*x**2 - 9*x**2 + 0*x**2.
2*x*(x - 2)*(4*x + 1)
Let z(h) be the third derivative of -h**5/160 - 47*h**4/64 + 3*h**3 + h**2 - 7*h. Factor z(y).
-3*(y - 1)*(y + 48)/8
Let f(n) = -3*n - 9. Let r = -215 + 211. Let h be f(r). Factor 3/7*p**2 - 3/7*p + 3/7*p**h - 3/7.
3*(p - 1)*(p + 1)**2/7
Let w = 14 + -9. Let v(j) = -8*j**2 - 24*j. Let n(c) = 9*c**2 + 23*c. Let x(p) = w*v(p) + 4*n(p). Factor x(a).
-4*a*(a + 7)
Let m(q) be the second derivative of q**7/3360 + q**6/192 + 17*q**4/12 + 34*q. Let h(j) be the third derivative of m(j). Solve h(t) = 0.
-5, 0
Let z(j) be the first derivative of j**4/3 - 4*j**3/3 - 2*j**2/3 + 4*j - 137. Let z(s) = 0. Calculate s.
-1, 1, 3
Let a(w) be the third derivative of -w**8/224 + w**7/105 + w**6/120 - w**5/30 + w**4/48 + 3*w**2 + 189. Let a(x) = 0. What is x?
-1, 0, 1/3, 1
Suppose n + 11 = 5*t, 18*t - 5 = n + 15*t. What is o in 0*o + 1/5*o**2 + 0 + 1/5*o**n - 2/5*o**3 = 0?
0, 1
Let a = -1669 + 21705/13. Factor 2/13*j**4 - a*j**3 + 24/13*j + 18/13 - 4/13*j**2.
2*(j - 3)**2*(j + 1)**2/13
Suppose 11*t - 13*t + 4 = 0. What is l in 5*l**2 + 6*l**2 - 16*l**t + 4*l**2 + l = 0?
0, 1
Let z = 149/4 + -73/2. Let 1/2*g + z*g**2 - 1/4 = 0. Calculate g.
-1, 1/3
Let g(z) be the second derivative of -5*z**2 + 7*z - 5/6*z**3 + 0 + 5/12*z**4. Factor g(u).
5*(u - 2)*(u + 1)
Let b(r) be the first derivative of 1/8*r**4 + 0*r - 1/36*r**6 - 25 + 1/6*r**2 + 5/18*r**3 - 1/30*r**5. Suppose b(p) = 0. What is p?
-1, 0, 2
Let t = -11925/7 - -1704. Let 6/7 - t*i - 3/7*i**2 = 0. What is i?
-2, 1
Let r be ((-27)/6)/(1/(-2)). Let f(z) = -11*z - 13. Let q be f(-2). Factor -t**4 - 2*t - q*t**3 - r*t**2 - 2*t**4 - t.
-3*t*(t + 1)**3
Let i(x) be the second derivative of 0*x**2 + 0*x**3 - 1/33*x**4 - 20*x - 1/55*x**6 + 0 - 7/110*x**5. Determine c so that i(c) = 0.
-2, -1/3, 0
Suppose 0 = 2*n + 4*c - 0 + 2, -17 = -5*n + c. Let g be (17/n - 2) + -3. Factor g + 32/3*i**2 - 16/3*i.
2*(4*i - 1)**2/3
Let z(x) be the third derivative of 4*x**7/105 + 49*x**6/60 - 16*x**5/5 + 29*x**4/12 + 14*x**3/3 + 15*x**2 + 7. What is r in z(r) = 0?
-14, -1/4, 1
Let a(s) be the first derivative of s**6 - 14*s**5 + 63*s**4 - 268*s**3/3 + 15*s**2 + 50*s - 251. Suppose a(p) = 0. What is p?
-1/3, 1, 5
Let g be 3/((-15)/4*(-2)/5). Suppose 0 = -5*n - 4*x + 224, 3*n - g*n = 4*x + 64. Solve 36*y - n + 3/4*y**3 - 9*y**2 = 0.
4
Let d(z) be the second derivative of z**5/180 - 5*z**4/72 + 37*z**2/2 - 4*z. Let r(p) be the first derivative of d(p). Let r(n) = 0. What is n?
0, 5
Let i(c) be the second derivative of -c**5/190 + 5*c**4/57 + c**3/57 - 10*c**2/19 + 38*c - 4. Solve i(v) = 0 for v.
-1, 1, 10
Let d(t) be the third derivative of -t**8/336 - 