pose -j = -3*x - 17, 2*x + x + 2*j = -11. Let p(a) = x*z(a) - 4*l(a). Factor p(y).
5*y*(y - 1)*(y + 1)
Let s be 16/1 - (-6)/2. Let d = s + -13. Suppose 9*a**3 - 3*a**2 + 3*a - d*a**2 - 8*a**4 + 5*a**4 = 0. What is a?
0, 1
Factor 0 - 3/7*u**2 - 9/7*u.
-3*u*(u + 3)/7
Let f be 232/(-60) + (-2)/(-3). Let t = -3 - f. Factor t + 1/5*p**2 - 2/5*p.
(p - 1)**2/5
Let d(x) be the first derivative of -2*x**5/5 - 490. Suppose d(q) = 0. Calculate q.
0
Let m(h) = -4*h**3 + 200*h**2 - 800*h - 16. Let z(o) = o**3 - 66*o**2 + 268*o + 5. Let g(f) = 5*m(f) + 16*z(f). Factor g(w).
-4*w*(w - 4)*(w + 18)
Let t(y) be the second derivative of 0*y**2 - 1/6*y**3 - 1/4*y**4 - 3/20*y**5 - 1/30*y**6 + 0 - 46*y. Factor t(h).
-h*(h + 1)**3
Let h(y) = -y**3 - 20*y**2 - 4*y - 2. Let z be h(-20). Factor 6*o**2 + 8 + z*o - 122*o + 6.
2*(o - 7)*(3*o - 1)
Let m = -1550 - -43401/28. Let p(k) be the first derivative of -1/21*k**3 + 1/7*k**2 - 7 - m*k**4 + 0*k. Find y, given that p(y) = 0.
-2, 0, 1
Let n be (-2)/3 - (-92)/3. Let u = n - 30. Factor 0*h - 1/3*h**3 + 0 + u*h**2.
-h**3/3
Let w(i) be the first derivative of 5*i**4/4 - 45*i**3 + 975*i**2/2 - 845*i + 14. Factor w(d).
5*(d - 13)**2*(d - 1)
Suppose -4/3 + 22/15*u**2 - 2/15*u**4 - 2/5*u + 2/5*u**3 = 0. Calculate u.
-2, -1, 1, 5
Let r be 11/3 - (-2)/(-3). Let p = r + 5. Determine z so that -5*z**3 - p*z**4 + 0*z + 6*z - z**3 + 0*z**4 - 2 + 10*z**2 = 0.
-1, 1/4, 1
Let k(u) be the first derivative of u**5/15 - u**4/4 + u**3/3 - u**2/6 - 253. Let k(r) = 0. Calculate r.
0, 1
Let p be 296/30 - 8/(-60). Suppose -y - p = -4*a, -9 = -a + y - 4*y. Solve -k**5 + 3*k**4 + 8*k**3 - 7*k**a - 2*k**4 - k**2 = 0.
-1, 0, 1
Let n(o) = -o**3 + 12*o**2 - 11*o + 3. Let q be n(11). Suppose 0*j - 3 = -q*a - j, a - 3*j = -9. Factor 0*h**2 + 0 + a*h + 1/5*h**3.
h**3/5
Let o(d) be the first derivative of 1/3*d**4 + 4*d + 0*d**2 + 0*d**3 + 5 + 2/5*d**5 + 2/15*d**6. Let q(a) be the first derivative of o(a). Solve q(z) = 0.
-1, 0
Let s(h) = 3*h**3 + 55*h**2 + 20*h + 39. Let j be s(-18). Suppose j + 15/2*i**4 - 9/2*i - 21/2*i**2 + 9/2*i**3 = 0. What is i?
-1, 2/5, 1
Let x(u) = u**3 - 10*u**2 - 11*u - 4. Let t be x(11). Let r = 10 + t. Suppose 2*q - r*q + q**2 + q + 2*q**2 = 0. Calculate q.
0, 1
Let k(q) be the first derivative of q**4/28 - q**3/14 - 3*q**2/7 + 26*q + 16. Let o(r) be the first derivative of k(r). Solve o(v) = 0.
-1, 2
Let j(i) be the first derivative of 0*i**2 - 2/5*i + 2/15*i**3 - 8. Factor j(x).
2*(x - 1)*(x + 1)/5
Let z(b) be the third derivative of -b**8/168 - 5*b**7/7 + 32*b**6/3 - 196*b**5/3 + 220*b**4 - 1328*b**3/3 + 17*b**2 + 16. Factor z(r).
-2*(r - 2)**4*(r + 83)
Let i(f) be the third derivative of f**4/6 - 5*f**3/6 - 2*f**2. Let x be i(2). Factor 2*a - 7*a + 2*a**3 + x*a**2 + 3*a + 2*a**4 - 5*a**2.
2*a*(a - 1)*(a + 1)**2
Let p = -5221/7416 - 4/927. Let o = -1/24 - p. Determine n, given that -4/3*n**3 + 2/3*n**4 + 0*n + o*n**2 + 0 = 0.
0, 1
Let m(y) be the third derivative of 39*y**2 - 13/30*y**5 - 2/3*y**3 + 0*y + 1/7*y**7 + 0 - 11/60*y**6 + 11/12*y**4. What is u in m(u) = 0?
-1, 1/3, 2/5, 1
Let z(b) = -52*b**4 + 30*b**4 - 2*b**5 + 12*b**3 + 32*b**4. Let c(q) = -q**5 + 7*q**4 + 8*q**3. Let x(l) = 8*c(l) - 5*z(l). Factor x(r).
2*r**3*(r + 1)*(r + 2)
Factor -2*v**4 + 4*v**3 + 98*v - 102*v + 2*v**2 + 0*v**2.
-2*v*(v - 2)*(v - 1)*(v + 1)
Determine u, given that 37/5*u - 1/5*u**2 + 38/5 = 0.
-1, 38
Let u be (-7)/(-126)*((-54)/20)/(-9). Let p(l) be the second derivative of 0*l**2 + u*l**5 + 1/18*l**3 - 1/18*l**4 + 0 + l. Factor p(f).
f*(f - 1)**2/3
Let -2 - 13*o + 36*o + o**2 - o**3 + 1 - 22*o = 0. What is o?
-1, 1
Let 155/4*a + 115/2*a**2 + 75/2*a**3 + 39/4 - 1/4*a**5 + 35/4*a**4 = 0. Calculate a.
-1, 39
What is a in -12*a - 21 - a**2 + 1 - 15*a - 14 - 8*a = 0?
-34, -1
Let z(q) be the first derivative of 4 + 8/51*q**3 - 21/17*q**2 + 10/17*q. What is p in z(p) = 0?
1/4, 5
Factor q**2 + 10*q**4 - 372*q**5 + 189*q**5 - 3*q**2 + 179*q**5 - 4*q**4.
-2*q**2*(q - 1)**2*(2*q + 1)
Let q(h) be the third derivative of 0 + 1/228*h**4 - 1/1140*h**6 + 1/57*h**3 - 1/570*h**5 + 0*h + 33*h**2. Factor q(k).
-2*(k - 1)*(k + 1)**2/19
Let i(b) = -15*b + 3. Suppose 3*k - 26 = -5*l, 6*k + 2*l = 5*k + 10. Let m(s) = 9*s**2 - 14*s + 2 - 13*s**2 + 5*s**k. Let x(d) = -2*i(d) + 3*m(d). Factor x(w).
3*w*(w - 4)
Suppose -5*k + 4*k + 5 = 0. Solve -5 - 6*v**2 + 2*v**2 - 12*v**2 - k*v**3 + v**2 - 15*v = 0 for v.
-1
Let r be (-1)/(-1) - (-49)/(-63). Suppose 5*u - 10 = 10. Let 2/9*p**u + 2/9 - 4/9*p**3 + r*p**5 - 4/9*p**2 + 2/9*p = 0. What is p?
-1, 1
Let m be (-9)/(-1) + (26680/(-104))/29. Factor 0 + m*g**2 - 4/13*g.
2*g*(g - 2)/13
Suppose 9 + 17 = 13*w. Factor -1/2*s**w - 3/2*s + 0.
-s*(s + 3)/2
Let j be (-1313)/(-132) + (-112)/308. Factor -52/3*c - 19/12*c**4 - 1/12*c**5 - 241/12*c**2 - 16/3 - j*c**3.
-(c + 1)**3*(c + 8)**2/12
Let w = -192/25 - -783/100. Let v(b) be the third derivative of -1/2*b**3 + 8*b**2 + 3/8*b**4 + 1/40*b**6 + 0*b - w*b**5 + 0. Factor v(o).
3*(o - 1)**3
Let w(n) = 110*n + 223. Let o be w(-2). What is m in -6/11 - 18/11*m - 6/11*m**o - 18/11*m**2 = 0?
-1
Let r(n) be the third derivative of -n**7/490 - 3*n**6/70 - 13*n**5/35 - 12*n**4/7 - 32*n**3/7 - 102*n**2. Find k such that r(k) = 0.
-4, -2
Let f be 116/24 + (-2)/(-12). Suppose -5*s + f*h + 3 = -2, -4*h = 0. Let 3/2*b**2 - 5/2*b + s = 0. What is b?
2/3, 1
Let y(f) be the first derivative of -13/50*f**5 - 1/15*f**3 + 1/15*f**6 + 11/40*f**4 - 32 + 0*f + 0*f**2. Determine m, given that y(m) = 0.
0, 1/4, 1, 2
Factor 0 - 6*c**3 + 21/4*c**4 - 12*c**2 - 3/4*c**5 + 0*c.
-3*c**2*(c - 4)**2*(c + 1)/4
Let w = 96 + -94. Let d(y) be the first derivative of -5 + 0*y - y**3 - 3/4*y**4 + 3/5*y**5 + 3/2*y**w. Suppose d(f) = 0. Calculate f.
-1, 0, 1
Factor -24 - 46*k**2 + 11*k**4 + 56*k + 2*k**4 - 15*k**4 + 16*k**3.
-2*(k - 3)*(k - 2)**2*(k - 1)
Let a be (-59)/(-8) - 66/99*21/2. What is p in 1/2*p**3 - 3/4*p**2 - a*p**5 - 1/8*p + 1/2*p**4 + 1/4 = 0?
-1, -2/3, 1
Let v be -4 - -1 - (3912/(-21) - -10). Let f = v + -173. Factor 0*i - f*i**5 + 2/7*i**4 + 0 + 2/7*i**3 - 2/7*i**2.
-2*i**2*(i - 1)**2*(i + 1)/7
Let u(x) be the second derivative of x**7/1260 - x**5/60 - 11*x**4/12 + 8*x. Let r(s) be the third derivative of u(s). Factor r(v).
2*(v - 1)*(v + 1)
Let d(i) be the third derivative of -i**6/30 + i**5/5 - i**4/3 + 88*i**2. Factor d(a).
-4*a*(a - 2)*(a - 1)
Suppose -73*j + 72 - 7 + 81 = 0. Solve 16/5*g**4 - 48/5*g**j - 44/5*g + 4/5*g**3 - 8/5 = 0.
-1, -1/4, 2
Determine d so that 2 - 12*d - 921*d**3 + 4*d**4 + 52*d**2 - 74 + 949*d**3 = 0.
-3, -2, 1
Suppose j = -4*a - 9, 2*a = 3*j + 12 + 1. Let d be 4/(-8) + j/(-2). Factor 9/4*b + 0 + 3/2*b**d + 1/4*b**3.
b*(b + 3)**2/4
Factor 0 - 5/3*y**2 + 1/3*y**3 + 2*y.
y*(y - 3)*(y - 2)/3
Let n(t) be the first derivative of t**7/945 - t**5/270 - 5*t**2 - 15. Let q(v) be the second derivative of n(v). Solve q(l) = 0.
-1, 0, 1
Suppose -i - 1 = -3. Let j be 2/(-9) - ((-102)/(-27) - 7). Factor 0*x + 1/2*x**i + 0 + 1/2*x**j.
x**2*(x + 1)/2
Let q(w) be the third derivative of -w**6/160 + w**5/80 + w**4/32 - w**3/8 + 93*w**2. Factor q(g).
-3*(g - 1)**2*(g + 1)/4
What is v in -1103 - 43*v**3 - 420*v - 72*v**2 + 303 + 39*v**3 = 0?
-8, -5
Let i(r) be the first derivative of 2*r**3/57 - 84*r**2/19 - 344*r/19 - 655. Factor i(b).
2*(b - 86)*(b + 2)/19
Suppose 16 = 4*s, 2*s + 1 + 15 = 4*i. Let u(c) be the first derivative of 4/15*c**3 - 2/25*c**5 - 2/5*c + 0*c**2 + i + 0*c**4. Determine o so that u(o) = 0.
-1, 1
Factor 0 + 4/3*y**3 - 1/3*y**2 + 0*y + 2/3*y**5 - 5/3*y**4.
y**2*(y - 1)**2*(2*y - 1)/3
Let o(y) be the third derivative of 0*y**3 + 5/12*y**4 + 8*y**2 - 1/12*y**5 + 0 + 1/42*y**7 - 1/12*y**6 + 0*y. Suppose o(z) = 0. Calculate z.
-1, 0, 1, 2
Let w(t) be the first derivative of 4*t**4 - 28*t**3/3 + 4*t**2 + 4*t + 122. Factor w(s).
4*(s - 1)**2*(4*s + 1)
Let c(q) = 2*q + 13. Let z be c(-6). Suppose -3*x + 14 = i, x + i + z = 7. Suppose -3/2*s**x + 0 + 0*s + 3/2*s**2 + 0*s**3 = 0. What is s?
-1, 0, 1
Suppose 9*n + 15*n - 96 = 0. Let a(x) be the second derivative of -1/18*x**4 + 0 + 2/3*x**2 - 1/9*x**3 - n*x. Let a(v) = 0. Calculate v.
-2, 1
Determine x so that 114*x - 2*x**5 + 110*x - 4 - 230*x + 8*x**3 + 4*x**2 = 0.
-1, 1, 2
Let a(x) be the second derivative of -x + 1/9*x**2 - 1/