1 + 4*q/11 + 2. Find j, given that n(j) = 0.
-2, -1
Let 2/3*x + 0 + 2/3*x**3 + 4/3*x**2 = 0. Calculate x.
-1, 0
Factor r**2 - 2*r**3 + 4*r**3 + 18*r - 4*r**2 - 5*r**3.
-3*r*(r - 2)*(r + 3)
Let i(j) be the first derivative of 5*j**5 - 35*j**4/4 - 40*j**3/3 + 10*j**2 - 9. Determine o so that i(o) = 0.
-1, 0, 2/5, 2
Let p(t) be the third derivative of -t**5/15 - t**4/6 + 4*t**2. Find f such that p(f) = 0.
-1, 0
Let u(t) be the third derivative of -5*t**8/336 + t**6/4 - 2*t**5/3 + 5*t**4/8 + 2*t**2 - t. Suppose u(b) = 0. Calculate b.
-3, 0, 1
Suppose -5*r + 17 = -2*n, -2 = -n - 2*r - 6. Let u = n + 13/2. Factor u + 0*f - f**3 - 3/2*f**2.
-(f + 1)**2*(2*f - 1)/2
Let w(n) = -46*n**2 - 14*n - 3. Let g(p) = -15*p**2 - 5*p - 1. Let z(o) = 7*g(o) - 2*w(o). Let q(l) = -14*l**2 - 6*l. Let m(r) = 3*q(r) - 2*z(r). Factor m(y).
-2*(2*y + 1)*(4*y - 1)
Let k(d) be the second derivative of 11*d**5/30 + 4*d**4/3 + 5*d**3/3 + 2*d**2/3 - 39*d. Factor k(j).
2*(j + 1)**2*(11*j + 2)/3
Factor 8/5 + 6/5*i**3 + 26/5*i**2 + 32/5*i.
2*(i + 2)**2*(3*i + 1)/5
Let p(g) be the third derivative of g**5/15 + g**4/3 + 2*g**3/3 + 7*g**2. Factor p(u).
4*(u + 1)**2
Let k be (6/(-16))/((-4)/16). Let t = 3/148 - -515/148. Determine p, given that -7/2*p**3 + 1 + 1/2*p**2 + t*p - k*p**4 = 0.
-2, -1, -1/3, 1
Factor 1/10*n**3 - 9/10*n + 1/2 + 3/10*n**2.
(n - 1)**2*(n + 5)/10
Let w(g) = -g**2 + 8*g + 2. Let b be w(8). Factor 4*q**3 - b*q**3 - q - q**5 + 0*q**5.
-q*(q - 1)**2*(q + 1)**2
Suppose 5*v = v + 2*q + 10, -4 = -4*q. Suppose 0*h - d = -2*h + 5, h - v*d - 5 = 0. Suppose -26*b**h - b + 9*b + 4 + 10*b**3 + 4 = 0. Calculate b.
-2/5, 1, 2
Suppose -d + 16 = 4*w, -4*d = -3*w - d - 3. Solve -w*u**2 + 0*u - 8*u + 14*u = 0.
0, 2
Let w be (-18)/(-7) - (-21)/49. Solve 0*m - 1/3*m**w + 0 - 2/3*m**4 + 0*m**2 - 1/3*m**5 = 0.
-1, 0
Suppose -36*s**3 - 3*s**2 + 1 - 2*s**2 + 33*s**3 + 3*s + 4*s**4 = 0. Calculate s.
-1, -1/4, 1
Let g(t) be the third derivative of -t**8/6720 + t**7/1260 - t**6/720 + 5*t**4/12 - 7*t**2. Let j(u) be the second derivative of g(u). Factor j(s).
-s*(s - 1)**2
Let r be (-2)/(-3)*(1 - -44). Suppose 2*b = 5*s - 3*b, 3*b - r = -3*s. Factor 21*a**3 - 5*a**3 - 12*a**4 - 6*a**4 + s*a**5 + a**4 - 4*a**2.
a**2*(a - 2)*(a - 1)*(5*a - 2)
Let s be 13 + -8 - (6 + -1). Let u(j) be the second derivative of 3/40*j**5 - 5*j + 0*j**2 + 1/4*j**3 - 1/4*j**4 + s. Factor u(t).
3*t*(t - 1)**2/2
Let z(y) be the second derivative of y**6/60 - y**5/20 + y**4/24 + 10*y. Factor z(o).
o**2*(o - 1)**2/2
Suppose 2*q = -q + 6. Let d(s) be the second derivative of -1/12*s**3 - 2*s + 0 - 1/4*s**q + 1/24*s**4 + 1/40*s**5. Factor d(r).
(r - 1)*(r + 1)**2/2
Let k(b) be the first derivative of -b**4/4 - 2*b**3/3 - b**2/2 - 7. Find r, given that k(r) = 0.
-1, 0
Let s(i) = i**4 - 4*i**3 + 2*i**2 + 4*i - 3. Let y(t) = t**3 - t**2 - t + 1. Let r(n) = s(n) + 2*y(n). Factor r(l).
(l - 1)**3*(l + 1)
Let u(g) = 3*g**4 - 10*g**3 + 3*g**2 + 4*g. Let t(o) = 3*o**4 - 11*o**3 + 3*o**2 + 5*o. Let n(x) = -4*t(x) + 5*u(x). Factor n(c).
3*c**2*(c - 1)**2
Suppose -c = -2*c + 3. What is b in -3*b**4 - 23*b**3 + 19*b**c + 5*b**4 = 0?
0, 2
Let m(q) be the first derivative of 2*q**6/3 + 16*q**5/5 - 2*q**4 - 16*q**3 + 18*q**2 + 75. Suppose m(d) = 0. Calculate d.
-3, 0, 1
Let n(x) = -8*x**3 + 8*x - 3. Let w(v) = 23*v**3 - 23*v + 8. Let a(r) = 8*n(r) + 3*w(r). Factor a(d).
5*d*(d - 1)*(d + 1)
Let w = 35 + -20. Suppose n + 0*n = -5*i + w, 5*i + 5*n = 35. Factor 0*j**3 - 3*j - 8*j**3 + j - 10*j**i.
-2*j*(j + 1)*(4*j + 1)
Let i(q) be the second derivative of -q**7/420 + q**6/30 - q**5/5 + 2*q**4/3 + q**3/2 + q. Let a(o) be the second derivative of i(o). Let a(v) = 0. Calculate v.
2
Let k(r) = 6*r**3 - 3. Let q(i) = 7*i**3 - i**2 - 4. Let j(b) = 4*k(b) - 3*q(b). Factor j(t).
3*t**2*(t + 1)
Let f = -20 - -8. Let z(q) = -32*q**3 + 8*q**2 + 8*q - 32. Let o(k) = 13*k**3 - 3*k**2 - 3*k + 13. Let c(m) = f*o(m) - 5*z(m). Find j, given that c(j) = 0.
-1, 1
Suppose -4*n + q + 0*q = 28, 5*n = 4*q - 35. Let p = n - -7. Determine s, given that -1/3*s**4 + 0 - 1/3*s**2 + 2/3*s**3 + p*s = 0.
0, 1
Let a(w) be the second derivative of w**7/273 + w**6/195 - w**5/130 - w**4/78 - 8*w. Factor a(u).
2*u**2*(u - 1)*(u + 1)**2/13
Let i(r) be the third derivative of r**8/13440 - r**7/5040 - r**6/1440 + r**5/240 + r**4/6 - 2*r**2. Let v(f) be the second derivative of i(f). Factor v(k).
(k - 1)**2*(k + 1)/2
Let s = -16 - -22. Let s*o**2 - 10*o**2 - 5*o**3 + 4*o**4 + 8*o**5 + o**3 - 4*o**5 = 0. What is o?
-1, 0, 1
Let x = 64 + -64. Factor x + 0*t + 2/3*t**2.
2*t**2/3
Let h be -1 - 14/(-8) - (-36)/80. Let a = -266 + 1334/5. Determine u, given that 9/5*u**2 - h*u - a*u**3 + 1/5 = 0.
1/4, 1
Let c(q) = 2*q**3 - q**2 + 1. Let g be c(1). Solve g*x + x + x**3 - 4*x**2 + 4 + x**3 - 5*x = 0 for x.
-1, 1, 2
Let j(p) = -p + 2. Let u be j(0). Factor 6*w + 5*w**u - 11*w**2 + 15*w**2.
3*w*(3*w + 2)
Let g(o) = 2*o**3 + 6*o**2 - 2*o - 4. Let u(q) = -q**5 - q**4 - 3*q**3 - 13*q**2 + 4*q + 9. Let y(x) = -5*g(x) - 2*u(x). Determine z so that y(z) = 0.
-1, 1
Let l(t) = -t**2 - 3*t + 4. Let n(i) = i - 1. Let s(p) = -l(p) - 5*n(p). Factor s(v).
(v - 1)**2
Let z(i) = -i**3 - 3*i**3 - 1 + 2*i + 0*i**3 + 3*i**3. Let m be z(1). Factor -32/3*y**2 - 6*y**4 - 8/3*y - 14*y**3 + m.
-2*y*(y + 1)*(3*y + 2)**2/3
Let v(a) be the second derivative of 0*a**2 - 1/24*a**3 + 0 - 1/48*a**4 + 2*a. Factor v(o).
-o*(o + 1)/4
Let v(d) be the first derivative of 4*d**3/3 - 4*d**2 - 32*d - 24. Factor v(q).
4*(q - 4)*(q + 2)
Let r**2 + 2*r - 9 + 12 + 10 - 16 = 0. What is r?
-3, 1
Let j = -4/25 - -836/225. Solve 14/9*k**5 + 0*k + j*k**4 + 22/9*k**3 + 0 + 4/9*k**2 = 0.
-1, -2/7, 0
Let d(j) be the third derivative of 0 - 1/360*j**5 - 1/144*j**4 + 0*j + 0*j**3 + 2*j**2. Factor d(n).
-n*(n + 1)/6
Let s(t) = 2 + 3*t + 0*t**2 - 3*t - t**2 + 2*t. Let g be s(0). Factor 3/4*q - 3/4*q**3 + 1/2*q**g - 1/2.
-(q - 1)*(q + 1)*(3*q - 2)/4
Let z = 2123/111 - -168/37. Let o = z - 23. Factor -2/3*q + 0 + 2/3*q**3 + o*q**2 - 2/3*q**4.
-2*q*(q - 1)**2*(q + 1)/3
Let v be ((-3)/(-12))/(2/8). Let y(k) = k - 1. Let m(n) = 3*n**4 + 6*n**3 + 3*n**2 - 3*n + 3. Let z(j) = v*m(j) + 3*y(j). Find l, given that z(l) = 0.
-1, 0
Let n be (-30)/(-165) + (-84)/(-22). Suppose -n*g**2 + 4*g**4 - g**2 - 2*g - 5*g**4 - 4*g**3 = 0. What is g?
-2, -1, 0
Let d = 13 + -11. Let y(z) be the second derivative of 0*z**3 + 1/60*z**5 + 0*z**d + 1/18*z**4 + 0 + z. Suppose y(l) = 0. Calculate l.
-2, 0
Let s be (-4)/10 + (0 - (-2)/5). Let o be (4/(-3))/(-6 + 0). Factor 4/9*v**3 - o*v**4 + 0*v + s - 2/9*v**2.
-2*v**2*(v - 1)**2/9
Let 0 + 3/5*a**4 - 3/5*a**3 - 24/5*a**2 + 36/5*a = 0. What is a?
-3, 0, 2
Let m(f) be the second derivative of f**4/12 - f**3/6 + 7*f**2 - f. Let c(l) = 2. Suppose 3*g = -2 + 8. Let x(k) = g*m(k) - 14*c(k). Solve x(v) = 0 for v.
0, 1
Let g be (-3 - (-4)/((-24)/(-27))) + 0. Factor -c**3 - 1/2*c**5 + 0 - g*c**4 + 0*c + 0*c**2.
-c**3*(c + 1)*(c + 2)/2
Let v(m) be the first derivative of m**7/168 - m**6/120 - m**5/80 + m**4/48 - 2*m - 2. Let w(n) be the first derivative of v(n). Find z, given that w(z) = 0.
-1, 0, 1
Let v be (-1 - 1) + -1 + 35/10. Factor -d**3 - d**2 + 1/2*d**4 + v*d**5 + 1/2 + 1/2*d.
(d - 1)**2*(d + 1)**3/2
Let g(c) = 7*c**4 - 11*c**3 - c**2 + 5. Let z(h) = 8*h**4 - 12*h**3 - 2*h**2 + 6. Let v(q) = 6*g(q) - 5*z(q). Solve v(f) = 0 for f.
0, 1, 2
Determine p so that 0 + 2/5*p**4 + 4/5*p**2 - 6/5*p**3 + 0*p = 0.
0, 1, 2
Determine i so that 4*i - 3*i - 2*i**2 + i**3 + 0*i**3 = 0.
0, 1
Let v(l) be the third derivative of 0 - 1/168*l**7 + 0*l + 0*l**3 + 5/48*l**4 - 1/48*l**6 + 1/48*l**5 - 5*l**2. Solve v(h) = 0 for h.
-2, -1, 0, 1
Let i = 6687/5 + -1330. Let t be (-4)/10*(-1 + -1). What is r in -i*r**2 - 6*r**3 - 9/5*r**4 - 4*r - t = 0?
-1, -2/3
Let h(k) be the third derivative of -k**8/56 + 2*k**7/105 + k**6/15 - k**5/15 - k**4/12 + 17*k**2. Find y such that h(y) = 0.
-1, -1/3, 0, 1
Let y(w) = -2*w + 7. Let k be y(2). Solve -2/11*p**k + 0*p + 2/11*p**2 + 0 = 0.
0, 1
Let c be (-4 + -109)*4/(-10). Let f = -45 + c. Determine d so that -1/5*d**4 + 0 + 1/5*d**3 + 0*d + f*d**2 - 1/5*d**5 = 0.
-1, 0, 1
Let h be (0 - 2)*(-2 - 0). Let j be (h/50)/((-2)/(-30)). Factor -3/5*o**5 + 3*o**4 - 27/5*o**3 - j*o + 0 + 21/5*o**2.
-3*o*(o - 2)*(o 