**2 - 12*s - 7. Let p be f(-11). Suppose p*u - z + 1 = 0, -3*u = -0*u - 3*z + 3. Factor 1/4*q**2 + 1/4*q + u.
q*(q + 1)/4
Let b be (6/10)/(657/730). What is u in 4/3*u**2 + 0*u + 0 + 10/3*u**5 + b*u**3 - 16/3*u**4 = 0?
-2/5, 0, 1
Let b(r) be the second derivative of -r**8/10080 - r**7/3780 + r**6/1080 + r**5/180 + r**4/6 + 2*r. Let v(m) be the third derivative of b(m). Factor v(l).
-2*(l - 1)*(l + 1)**2/3
Let d = -5008/3 + 15104/9. Factor -32/9 - d*p - 20/9*p**3 - 2/9*p**4 - 22/3*p**2.
-2*(p + 1)**2*(p + 4)**2/9
Let u(c) be the second derivative of -1/45*c**6 - 1/3*c**2 + 0 + 4/9*c**3 + 2/15*c**5 + 2*c - 1/3*c**4. Factor u(o).
-2*(o - 1)**4/3
Let c(k) = -k**2 - 9*k. Let d be c(-9). Suppose 0*r - r + 2 = d. Factor -4*a**2 - 2*a**2 + 2*a**2 + 3*a**r + a**3.
a**2*(a - 1)
Let r(s) be the first derivative of -6*s**5/5 + s**4/2 + 2*s**3 - s**2 - 5. Solve r(d) = 0 for d.
-1, 0, 1/3, 1
Let j(y) = 7*y**3 - 10*y**2 - 7*y + 8. Let i(t) = -190*t**3 + 270*t**2 + 190*t - 215. Let l(r) = -2*i(r) - 55*j(r). Suppose l(m) = 0. What is m?
-1, 1, 2
Let a(p) be the third derivative of p**6/120 - p**5/30 - 7*p**4/24 - 2*p**3/3 + 22*p**2. Factor a(f).
(f - 4)*(f + 1)**2
Let r(x) be the first derivative of -x**4/26 + 4*x**3/39 + x**2/13 - 4*x/13 + 20. Factor r(a).
-2*(a - 2)*(a - 1)*(a + 1)/13
Let k be ((-2)/(-2))/1*-10. Let y = k - -18. Suppose 4*s**3 + 0*s**3 + s**3 + s**3 - y*s + 2*s**4 = 0. What is s?
-2, 0, 1
Let o = -11 + 15. Determine s so that 3*s**3 - 3*s - 6*s**o - 7*s - 9*s + 18*s**2 - 2*s + 6 = 0.
-2, 1/2, 1
Factor -776 - y**2 - 3*y**2 + 4*y + 784.
-4*(y - 2)*(y + 1)
Factor s**2 + 4*s**2 + 15 + 20*s - 9 + 9.
5*(s + 1)*(s + 3)
Let k(q) be the third derivative of 1/420*q**7 + 0*q**5 - q**2 - 1/24*q**4 - 1/12*q**3 + 0 + 0*q + 1/120*q**6. Find r, given that k(r) = 0.
-1, 1
Solve 0 + 2/7*l + 4/7*l**2 = 0 for l.
-1/2, 0
Let y = 3 + -1. What is b in -y*b**2 + 4 - 4 - b + b**2 = 0?
-1, 0
Let b(t) be the second derivative of 6/5*t**5 + 8/15*t**6 + 6*t + 4/3*t**4 + 0*t**2 + 2/3*t**3 + 2/21*t**7 + 0. Solve b(u) = 0.
-1, 0
Let d(c) be the third derivative of -c**6/960 + c**4/64 - c**3/24 + 2*c**2. Factor d(j).
-(j - 1)**2*(j + 2)/8
Suppose 18*f - 3*q + 20 = 22*f, 0 = 4*f + 4*q - 20. Factor 0 + 3/2*i**4 + 0*i - 3/2*i**2 - 3/2*i**f + 3/2*i**3.
-3*i**2*(i - 1)**2*(i + 1)/2
Let u be 4/((-4)/3) - -3. Suppose 0*s - 7*s = u. Suppose 4/5*k**3 + 0*k + s - 2/5*k**2 - 2/5*k**4 = 0. What is k?
0, 1
Suppose 52*s**3 - 17*s**3 + 11*s - 21*s**2 - 24*s**2 - s = 0. Calculate s.
0, 2/7, 1
Let b(w) be the first derivative of w**4/22 - w**2/11 - 1. Factor b(n).
2*n*(n - 1)*(n + 1)/11
Factor 2/5*t**2 - 2/5 - t**3 + t.
-(t - 1)*(t + 1)*(5*t - 2)/5
Let 0 - 1/2*j**5 + j**4 - 1/2*j**3 + 0*j + 0*j**2 = 0. What is j?
0, 1
Let u = 179 + -176. Factor 2/7*l**u + 0*l + 4/7*l**2 + 0.
2*l**2*(l + 2)/7
Let g(f) be the third derivative of 7*f**5/20 - 3*f**4/2 - 2*f**3 - 11*f**2. Factor g(w).
3*(w - 2)*(7*w + 2)
Let b(w) be the second derivative of -6*w + 0 + 1/40*w**5 - 1/84*w**7 - 1/24*w**4 + 1/60*w**6 + 0*w**2 + 0*w**3. Factor b(l).
-l**2*(l - 1)**2*(l + 1)/2
Factor 0*j**3 - 8/3*j**2 + 0*j + 4/3*j**4 + 4/3.
4*(j - 1)**2*(j + 1)**2/3
Suppose 0 = 6*g + 12 - 30. Suppose g*d = 5*d - 8. Factor 0 + 1/4*b**5 + 0*b**d + 0*b**2 + 0*b + 0*b**3.
b**5/4
Let f be -4 + (162/4)/9. Let b(m) be the first derivative of f*m**2 + 0*m + 1/6*m**6 - 1/2*m**4 + 0*m**5 + 0*m**3 + 2. Suppose b(t) = 0. What is t?
-1, 0, 1
Factor 6*a**2 + 15*a**2 + 15*a + 25*a**3 + 15*a**2 + 5*a**4 - a**2.
5*a*(a + 1)**2*(a + 3)
Let r be (-1 - (-2 + 1)) + 2. Let x = 29 - 27. Determine i so that -i**x + r - i - 2 = 0.
-1, 0
Let q(g) be the third derivative of 1/120*g**5 - g**2 + 0 + 1/48*g**4 + 0*g + 0*g**3. Solve q(t) = 0.
-1, 0
Suppose 0*p + 9 = p. Suppose 2*d = 5*d - p. Factor j**4 - 3 + 2*j**3 - j**2 - 3*j**3 + j + d.
j*(j - 1)**2*(j + 1)
Let h(z) be the first derivative of -z**4/14 + 10*z**3/21 - 8*z**2/7 + 8*z/7 + 15. Factor h(u).
-2*(u - 2)**2*(u - 1)/7
Let m = -3 - -6. Factor -13*q**2 + 2*q - 2 + 2*q**m + 2 + 9*q**2.
2*q*(q - 1)**2
Let a be (6/8)/(((-165)/8)/(-11)). Factor 2/5*s**4 - 2/5*s**2 + 2/5*s**3 + 0 - a*s**5 + 0*s.
-2*s**2*(s - 1)**2*(s + 1)/5
Suppose 10 = 46*j - 44*j. Let t(v) be the third derivative of 0 - 1/4*v**3 + 1/80*v**6 - 1/16*v**4 - 3*v**2 + 1/40*v**j + 0*v. Let t(z) = 0. What is z?
-1, 1
Let s(z) = -8*z**2 + 278*z - 2587. Let q(x) = 12*x**2 - 416*x + 3880. Let l(y) = 5*q(y) + 8*s(y). Factor l(h).
-4*(h - 18)**2
Suppose 5*s**2 + 11 - 9 - 2 = 0. Calculate s.
0
Let m be ((-2)/(-3))/((-2)/(-15)). Factor -5*s**2 + s**4 + 5*s**3 - s**m + 3*s**2 + s**2 - 4*s**3.
-s**2*(s - 1)**2*(s + 1)
Suppose 0 - 4/11*g**3 + 4/11*g + 2/11*g**4 - 2/11*g**2 = 0. What is g?
-1, 0, 1, 2
Suppose 64 = -4*p + 72. Let x(n) be the second derivative of 0*n**p - n + 0 - 1/6*n**4 - 1/6*n**3 - 1/20*n**5. Let x(q) = 0. Calculate q.
-1, 0
Suppose 5*g - g - 44 = 0. Factor 13*x + 14*x - 2 - 32*x**2 - g*x.
-2*(4*x - 1)**2
Factor -1/2*c + 0 + 1/4*c**2.
c*(c - 2)/4
Let q(u) be the first derivative of -2*u**3/27 + u**2/9 + 3. Determine m, given that q(m) = 0.
0, 1
Let n(w) be the first derivative of -1/36*w**4 + 0*w**2 + 0*w**3 - 3*w - 3. Let x(m) be the first derivative of n(m). Factor x(k).
-k**2/3
Let n = 76 + -76. Solve n + 0*f + 4/7*f**2 + 2/7*f**3 = 0.
-2, 0
Factor -390 - 9*u - 4*u**2 - 87*u - 319 + 133.
-4*(u + 12)**2
Let c(u) be the second derivative of -u**5/30 + u**4/12 + 2*u**3/3 + 3*u**2/2 + u. Let d(h) be the first derivative of c(h). Factor d(k).
-2*(k - 2)*(k + 1)
Let r(i) = 2*i**4 + 6*i**3 + 14*i**2 - 24*i + 7. Let g(p) = 3*p**4 + 6*p**3 + 15*p**2 - 24*p + 6. Let x(f) = 5*g(f) - 6*r(f). Factor x(u).
3*(u - 2)*(u - 1)**2*(u + 2)
Let y(j) = -3*j**4 - 2*j**3 + 3*j**2 + 6*j - 4. Let n(f) = -f**4 + f. Let m(p) = 4*n(p) - 2*y(p). Factor m(t).
2*(t - 1)**2*(t + 2)**2
Factor -128 - 3*b**2 + 60 + 9*b + 62.
-3*(b - 2)*(b - 1)
Factor 1/9*m**2 + 2/9*m + 0.
m*(m + 2)/9
Suppose 9 = g + 6. Let p(k) be the second derivative of 0*k**3 + g*k + 1/42*k**4 + 0 + 0*k**2 - 2/35*k**5. Let p(f) = 0. What is f?
0, 1/4
Let z be (-6)/(18*-2) - (-17)/6. Let k(n) be the first derivative of 0*n**3 + 0*n**2 + 7/3*n**6 + 2*n**5 - n**4 - z + 0*n. Suppose k(g) = 0. What is g?
-1, 0, 2/7
Let t(o) be the third derivative of o**6/240 + o**5/20 - 7*o**4/48 + 12*o**2. Determine n so that t(n) = 0.
-7, 0, 1
Let o(j) be the third derivative of 0*j + 0*j**3 - 1/20*j**5 + 1/4*j**4 + j**2 + 0. Factor o(s).
-3*s*(s - 2)
Let r(h) be the first derivative of 4/5*h**5 + 0*h**3 - h**4 + 0*h**2 - 2 + 0*h. Suppose r(i) = 0. Calculate i.
0, 1
Suppose -2*s - 9 - 1 = -5*p, 0 = -p + 2*s + 2. Factor 8/15*d + 2/5 - 14/15*d**p.
-2*(d - 1)*(7*d + 3)/15
Let m(s) be the second derivative of 0 + 0*s**3 - 3*s + 0*s**5 + 1/90*s**6 - 1/36*s**4 + 0*s**2. Factor m(o).
o**2*(o - 1)*(o + 1)/3
Let z(h) = -3*h + 7. Let b be z(4). Let n be (2/b)/(-12 + 11). Factor 0 + 0*i + n*i**2 - 2/5*i**4 + 0*i**3.
-2*i**2*(i - 1)*(i + 1)/5
Let h(f) = 2*f - 7. Let t be h(5). Suppose -2*z = -t*z. Factor -1/3*k**2 + 1/3*k + z.
-k*(k - 1)/3
Let s = 6 - 4. Factor -a + a - a**s + 0*a.
-a**2
Suppose -s = -i + 5, 0 = -3*s - 19*i + 17*i + 10. Let f = 56/3 - 18. Factor 2*m**3 + 2/3*m**4 + f*m + 2*m**2 + s.
2*m*(m + 1)**3/3
Suppose 36 = 8*m + 4*m. Determine p so that -2/9*p - 4/9 - 2/9*p**5 - 4/9*p**4 + 4/9*p**m + 8/9*p**2 = 0.
-2, -1, 1
Let j(z) be the first derivative of 2*z**5 + 21*z**4/4 + 10*z**3/3 - 3*z**2/2 - 2*z - 4. Suppose j(b) = 0. What is b?
-1, -1/2, 2/5
Let n = 155 + -153. What is j in 1/4*j**n - 1/4 + 0*j = 0?
-1, 1
Let u(r) be the first derivative of 4*r**5/5 - 4*r**3 - 4*r**2 + 9. Factor u(y).
4*y*(y - 2)*(y + 1)**2
Let t(d) be the third derivative of -5*d**8/336 + 2*d**7/21 - d**6/4 + d**5/3 - 5*d**4/24 + 3*d**2. Factor t(a).
-5*a*(a - 1)**4
Let b(p) be the second derivative of p**6/24 - 7*p**5/80 + p**4/24 - 9*p. Factor b(a).
a**2*(a - 1)*(5*a - 2)/4
Let f be 4/10 + 342/(-1080). Let o(q) be the second derivative of 1/84*q**7 + 0 - 1/30*q**6 + 3*q + f*q**4 + 0*q**5 + 0*q**2 - 1/12*q**3. Solve o(x) = 0.
-1, 0, 1
Let k(d) be the first derivative of 9*d**4/2 + 40*d**3/3 + 4*d**2 - 24. Factor k(t).
2*t*(t + 2)*(9*t + 2)
Let n(l) = 6*l + 13. Let u be n(-2). Factor -d + 1/4*d**2 + u.
(d - 2)**2/4
Let q be ((-12)/80)/(36/(-32