(u). Let p(b) = 0. Calculate b.
1/5, 1/4, 1
Factor 6/5*b**2 + 12/5*b**4 + 0*b + 3*b**3 + 3/5*b**5 + 0.
3*b**2*(b + 1)**2*(b + 2)/5
Let g(m) be the third derivative of -m**9/211680 + m**7/5880 - m**6/1260 - m**5/20 - 3*m**2. Let f(o) be the third derivative of g(o). Solve f(v) = 0.
-2, 1
Let o be 112/21 + 16/(-12). What is r in 0 - 1/4*r**o + 1/2*r**3 - 1/2*r + 1/4*r**2 = 0?
-1, 0, 1, 2
Let s(r) be the first derivative of -r**5/5 - r**4/6 - r**3/24 - 4*r + 4. Let u(c) be the first derivative of s(c). Determine q so that u(q) = 0.
-1/4, 0
Factor 0 + 5/6*m**2 - 5/3*m + 25/6*m**4 + 20/3*m**3.
5*m*(m + 1)**2*(5*m - 2)/6
Let k = -4 + 7. Let d = 5 - k. Factor -w + 3*w - 4*w**d + 3*w**2.
-w*(w - 2)
Let x(a) = 8*a**2 + 2*a + 6. Let t(q) = 8*q**2 + q + 5. Let f(h) = 6*t(h) - 5*x(h). Factor f(p).
4*p*(2*p - 1)
Let j(p) = p**2 + 9*p + 8. Let i(k) be the third derivative of -k**4/24 - k**3/6 + 3*k**2. Let s(y) = -6*i(y) - j(y). Determine g so that s(g) = 0.
-2, -1
Let s(p) = -11*p**3 - 10*p**2 - 14*p + 3. Let z(u) = -5*u**3 - 5*u**2 - 7*u + 1. Let w(n) = 4*s(n) - 9*z(n). Find v such that w(v) = 0.
-3, -1
Let w(g) = -1. Let b(m) = -2*m**3 + 2*m**2 + 4*m - 6. Let t = -3 + -3. Let y(u) = t*w(u) + b(u). Solve y(v) = 0 for v.
-1, 0, 2
Let y be 7021/136 - 1/8. Let f = 361/6 - y. Determine z so that -14*z**4 - 4/9 - 2/3*z + 58/9*z**2 + f*z**3 = 0.
-1/3, 2/7, 1
Suppose 0 + 0*j**3 + 0*j**2 + 0*j - 1/5*j**4 = 0. What is j?
0
Let g = 4 + -3. Let n be g/2*(1 - 1). Factor -2/9*m + n*m**2 + 0 + 2/9*m**3.
2*m*(m - 1)*(m + 1)/9
Let u = -202 + 3032/15. Let p(x) be the second derivative of -1/30*x**4 + u*x**3 - 1/5*x**2 - 3*x + 0. Suppose p(k) = 0. Calculate k.
1
Suppose -92 = -2*k - 270. Let f = k - -448/5. What is g in -3/5 + 0*g + f*g**2 = 0?
-1, 1
Suppose -4 = 3*y - 4*y. Suppose 6*r**5 + 1 - y*r**3 + 14*r**4 - 16*r**2 + 1 + 2*r**5 - 4*r = 0. Calculate r.
-1, 1/4, 1
Suppose -2*h + 17 = 7. Factor 24*g - h - 3 - 4*g**2 + 18*g**2.
2*(g + 2)*(7*g - 2)
Suppose 0 = v, -3*v + 13 = -2*j - 115. Let o = 257/4 + j. Factor 1/4*a**3 + 0*a + 0 + o*a**2.
a**2*(a + 1)/4
Let a = -1189/5 + 238. What is k in k**4 - k + 1/5 - a*k**5 - 2*k**3 + 2*k**2 = 0?
1
Suppose 2*t = 5*q - 17, 0 = t + 2*q - 4 - 1. Let k = t + 9. Factor -2*d**5 - 2*d + k*d**2 + 3*d**4 - 12*d**3 + 5*d**4 + 0*d**2.
-2*d*(d - 1)**4
Suppose -5*d + 4*d + 3 = 0. Factor -16*u**2 + 2*u + 4 + u - u + u**3 + 9*u**d.
2*(u - 1)**2*(5*u + 2)
Let y be (-2)/(2/(3 + -2)). Let d be 3 - (y + 1)/1. Suppose 2*i**3 + 0*i - 4*i - i**5 + d*i = 0. What is i?
-1, 0, 1
Suppose 6*o - 2*o - 2*s - 14 = 0, 0 = 5*o + 2*s + 5. Let h be o/1 + 2 + 1. What is k in -h*k**4 + 0*k - 2*k - 2*k**5 + 4*k**5 + 4*k**2 = 0?
-1, 0, 1
Let j = -8/15 + 6/5. Factor j - 4/3*k + 2/3*k**2.
2*(k - 1)**2/3
Let y(h) be the first derivative of 2*h**5/55 + 3*h**4/11 + 16*h**3/33 - 60. Factor y(z).
2*z**2*(z + 2)*(z + 4)/11
Suppose -6*f - 54 = -66. Factor 6/7*s**f - 2/7 - 4/7*s.
2*(s - 1)*(3*s + 1)/7
Let f(a) = a**4 - 5*a**3 + 2*a**2 - 2*a - 2. Let v(q) = 5*q**4 - 26*q**3 + 10*q**2 - 11*q - 11. Let s(i) = -22*f(i) + 4*v(i). Factor s(j).
-2*j**2*(j - 2)*(j - 1)
Let o(b) be the first derivative of 1/20*b**4 - 4/15*b**3 - 7 + 1/2*b**2 - 2/5*b. Factor o(f).
(f - 2)*(f - 1)**2/5
Suppose -3*a + 4 = 10. Let p be 14/(-6)*a/7. Find l, given that -2/3*l**3 + 2*l**2 + p - 2*l = 0.
1
Let x be (-8)/(-9)*(3 - -3). Let h = -5 + x. Suppose -1/3*p**3 + 1/3*p - 1/3 + h*p**2 = 0. Calculate p.
-1, 1
Let u(b) = -2*b + 1. Let g be u(-1). Let j be 1 + 2/(-8)*g. Determine c so that 0*c**3 + j*c**4 - 1/2*c**2 + 1/4 + 0*c = 0.
-1, 1
Let b(l) = 6*l**2 + 12*l. Let k(w) be the third derivative of -w**5/60 - w**4/12 - 2*w**2. Let r(n) = -6*b(n) - 34*k(n). Factor r(z).
-2*z*(z + 2)
Let -2/11*m + 4/11*m**4 + 0*m**3 - 4/11*m**2 + 0 + 2/11*m**5 = 0. What is m?
-1, 0, 1
Let y(c) = -4*c + 3*c + 1 + 2*c - 9. Let j be y(10). Let -1/2*l + 1/2*l**3 + 0 + 0*l**j = 0. What is l?
-1, 0, 1
Let z = -3 + 10. Suppose 2*d + 3 = z. Factor 0*p**3 + 0 + 1/3*p**4 + 0*p + 0*p**d.
p**4/3
Factor 0*n**2 + n**2 + n**2 - 5*n**2 + 15*n + 18.
-3*(n - 6)*(n + 1)
Let z(u) = -u + 8. Let b be z(6). Factor -8/7*k**b + 2/7*k + 8/7*k**3 + 0.
2*k*(2*k - 1)**2/7
Let z = -5 - -8. Determine c so that z*c - 8*c**2 + c**3 - c + 5*c**3 + 0*c = 0.
0, 1/3, 1
Suppose 2*z = 5*z. Let f = 0 - z. Determine d so that 2/9*d**2 + f + 2/9*d**3 + 0*d = 0.
-1, 0
Suppose 4*l - 2*x - 14 = 0, 5*x = 2*l - 15 + 4. Suppose l*c = -2*d + d + 7, d + 17 = 5*c. Factor 3*y**3 + 3*y**2 + 9*y**2 + 0*y**c + 16*y - 4*y.
3*y*(y + 2)**2
Suppose -3*b = -4*k + 1, -4*k - 5*b + 12 - 3 = 0. Let o be 8/((0 + 2)/k). Let -2/5*c - 1/5*c**o + 1/5 + 2/5*c**3 + 0*c**2 = 0. Calculate c.
-1, 1
Let y(g) = -g**3 - 8*g**2 - 7*g + 3. Let s be y(-7). Let h(j) be the first derivative of 4/9*j**2 - s + 8/9*j + 2/27*j**3. Find r such that h(r) = 0.
-2
Suppose 5*m - z = 9, -5*m + 7*z - 2*z + 5 = 0. Let i(u) be the first derivative of 1 + 0*u**m + 0*u - 1/6*u**3. Factor i(k).
-k**2/2
Let b(p) be the first derivative of -4*p**3/3 + 1. Factor b(y).
-4*y**2
Let j = 26 - 21. Let f(u) be the third derivative of -2/15*u**j + 2/3*u**3 + 0*u - 7/12*u**4 + 0 - 2*u**2. Factor f(g).
-2*(g + 2)*(4*g - 1)
Let o(z) be the first derivative of z**4/4 + z**3 + 3*z**2/2 + z - 1. Factor o(q).
(q + 1)**3
Let v(i) be the third derivative of i**6/200 + 3*i**5/50 + i**4/5 + 21*i**2. What is k in v(k) = 0?
-4, -2, 0
Let t(z) be the first derivative of 1/12*z**3 + 1 + 1/2*z - 3/8*z**2. Let t(m) = 0. What is m?
1, 2
Suppose -3*c - 5*z + 16 = 0, 2*z = -5*c + 24 - 10. Find s such that 1/3*s**c - 1/6*s**4 + 0*s - 1/6*s**3 + 0 = 0.
-2, 0, 1
Let r be ((-6)/(-21))/(16/14). Factor 1/2*d - 1/2*d**3 - d**2 + r + 3/4*d**4.
(d - 1)**2*(d + 1)*(3*d + 1)/4
Suppose 0*y - 3*j = -4*y + 28, -3*y = -3*j - 21. Find k, given that 1 + 3*k**2 + y + 16*k + 7*k**2 - 5*k**3 + 7*k**3 = 0.
-2, -1
Let l = 22661/3540 + -1/708. Factor -12/5*b + 2/5 + 2/5*b**2 + 48/5*b**3 + l*b**4.
2*(b + 1)**2*(4*b - 1)**2/5
Factor 22*b + 4 + 3 - 2*b - 2 + 20*b**2.
5*(2*b + 1)**2
Let n = 23/2 + -11. Factor 0 - 7/4*z**2 - n*z + 1/2*z**3 + 7/4*z**4.
z*(z - 1)*(z + 1)*(7*z + 2)/4
Let p = -16/39 - -268/273. Find a, given that -2/7*a**3 + 0*a + p*a**2 + 0 = 0.
0, 2
Let w be (3 - 6 - -1) + 20. Suppose -5*v + 10 = 0, -11 = -3*o - 2*o + 2*v. Factor -w*j**4 - 2*j**o + j**5 + 3*j**3 + 16*j**4.
j**3*(j - 1)**2
Factor 2/5*o**4 + 0*o + 6/5*o**3 + 4/5*o**2 + 0.
2*o**2*(o + 1)*(o + 2)/5
Let j be 2/(-11) - 228/(-44). Suppose 3*x = 7*x, -j*c - 2*x = 0. Solve 1/3*h**4 + 0*h + c*h**3 - 2/3*h**2 + 1/3 = 0 for h.
-1, 1
Let y(l) be the third derivative of -l**6/360 + l**5/60 - l**3 - 5*l**2. Let i(a) be the first derivative of y(a). Factor i(f).
-f*(f - 2)
Let a(o) be the first derivative of -1/5*o**3 - 48/5*o - 12/5*o**2 - 9. Factor a(r).
-3*(r + 4)**2/5
Let c = 95/21 - 27/7. Let y(u) be the first derivative of -1/3*u**2 - 1/2*u**4 + 3 + c*u - 10/9*u**3. Factor y(m).
-2*(m + 1)**2*(3*m - 1)/3
Let m(q) = -q**2 + q - 2. Let v be m(3). Let p = v + 10. Solve 2/3*x**3 + 0*x + 0 - 2/3*x**p = 0 for x.
0, 1
Let g be 24/9*(-2)/(-12). Determine r, given that g*r - 2/9*r**2 + 0 = 0.
0, 2
Let q(r) = 4*r**2 - 19*r - 5. Let x be q(5). Let 15/8*j**3 - 9/8*j**2 + x + 1/4*j + 3/8*j**5 - 11/8*j**4 = 0. What is j?
0, 2/3, 1
Let x be (-2)/25*330/(-33). What is d in 3/5*d + x - 1/5*d**2 = 0?
-1, 4
Let s(g) be the first derivative of -g**4 - 20*g**3/3 + 2*g**2 + 20*g - 31. Factor s(j).
-4*(j - 1)*(j + 1)*(j + 5)
Let c be (2 - 12/15)*55/99. Determine t so that 4/3*t - c*t**2 - 2/3 = 0.
1
Let s(h) = 15*h**2 - 280*h + 265. Let f(c) = c**2 - 20*c + 19. Let o(u) = -85*f(u) + 6*s(u). Factor o(w).
5*(w - 1)*(w + 5)
Let g(i) be the first derivative of 0*i - 2/5*i**2 + 4 - 2/5*i**3 + 0*i**4 + 2/25*i**5. Factor g(b).
2*b*(b - 2)*(b + 1)**2/5
Let b(y) be the third derivative of -1/9*y**3 - 2*y**2 - 1/90*y**5 + 0*y - 1/18*y**4 + 0. Let b(j) = 0. Calculate j.
-1
Let v be 3*6/36*0. Solve -4*h**4 + 0*h + 8/3*h**3 + v + 0*h**2 = 0.
0, 2/3
Let t(r) be the second derivative of -r**7/28 - r**6/12 + r**5/20 - 3*r. What is u in t(u) = 0?
-2, 0, 1/3
Factor -12/11*i + 0 - 2/11*i**2.
-2*i*(i + 6)/11
Find c such that 4*c - 6*c**2 + 7*c**2 - 2 - 3*c**2 = 0.
1
Solve 6*j - 2*j**2 - 7 + 0*j + 3 = 0.
1, 2
Let i(c) = -c**2 - 4*c + 17. Let d be