= 0?
-1, 0
Let u(j) = 10*j**4 + 26*j**3 + 23*j**2 + 7*j. Let l(k) = k**4 + k**3 + k**2 + k. Let f(m) = -6*l(m) + 2*u(m). Factor f(w).
2*w*(w + 1)*(w + 2)*(7*w + 2)
Let j(d) = -d**2 - 680*d - 38307. Let v(t) = -4*t**2 - 3401*t - 191535. Let f(i) = 11*j(i) - 2*v(i). Suppose f(u) = 0. Calculate u.
-113
Let q(h) = 5*h**3 - 3*h**2 - 25*h - 5. Let y(a) = -a**3 - a**2 + 2*a - 1. Let m(i) = -q(i) - 4*y(i). Find s such that m(s) = 0.
-1, 9
Suppose -2779 = -15*r - 2749. Factor 7/3*u - 5/3*u**r - 2/3.
-(u - 1)*(5*u - 2)/3
Let r = -37 - -36. Let y be (8/20*-3)/(3*r). Factor -y*q**2 + 0 + 0*q.
-2*q**2/5
Suppose -2*x - 220 = 2*a, 2*a = -4*x + 12 - 232. Let z = a - -335/3. Suppose 5/3*n**2 + 10/3*n**3 + 0 + 0*n + z*n**4 = 0. What is n?
-1, 0
Factor 24*x - 8*x**2 - 4*x**3 - 1/2*x**5 + 3*x**4 - 16.
-(x - 2)**4*(x + 2)/2
Find f, given that 10 - 48 + 3*f**5 + 95*f + 59*f - 5*f**5 - 4*f**4 - 172*f**2 + 72*f**3 - 10 = 0.
-8, 1, 3
Let p = -528 + 846. Let t = p - 2222/7. Solve -2/7*j**2 - 2/7*j + t = 0.
-2, 1
Let n(d) be the first derivative of -8 + 0*d - 1/3*d**4 - 4/9*d**3 + 4/3*d**2. Factor n(a).
-4*a*(a - 1)*(a + 2)/3
Let s(h) = h**3 - 5*h**2 + h + 1. Let j be s(5). Factor -j*m**2 - 4*m**2 + 32*m - 27*m.
-5*m*(2*m - 1)
Let 0 + a**3 - 1/3*a**4 + 0*a - 2/3*a**2 = 0. Calculate a.
0, 1, 2
Let m(z) be the third derivative of z**7/315 - 4*z**5/15 - 16*z**4/9 - 16*z**3/3 - 102*z**2. Factor m(u).
2*(u - 6)*(u + 2)**3/3
Let a(j) = -2*j**3 - 2*j**2 - 2*j - 6. Let z be a(-4). Let n be (28/z)/((-4)/(-7)). Factor n*i**2 - i + 1/2.
(i - 1)**2/2
Let q be -4*(-1 + (-259)/14). Let d be (-4)/5*(-65)/q. Determine f so that -d*f + 0 - 2/3*f**3 - 4/3*f**2 = 0.
-1, 0
Let n(m) = m**2. Suppose 0*t + 2*t - 2 = 0. Let q(s) = -50*s**3 + 157*s**2 + 152*s + 32. Let a(d) = t*q(d) + 3*n(d). What is i in a(i) = 0?
-2/5, 4
Suppose 4*h + 2*m - 16 = -0*m, 2*h - 12 = m. Suppose -c - h*g = 2, g = 5*c - 2*g - 18. Factor -2*i**3 - 2*i - 2*i**3 + 6*i**c + 2*i**4 - 2*i**2.
2*i*(i - 1)*(i + 1)**2
Let g = -16 - -21. Solve 4*k**g - 111*k**3 + 8*k**4 - 112*k**3 + 227*k**3 = 0 for k.
-1, 0
Let q(t) be the second derivative of -3*t**5/80 - 17*t**4/12 + 23*t**3/24 + 171*t. Suppose q(s) = 0. What is s?
-23, 0, 1/3
Let p(l) be the third derivative of 10*l**7/7 - 101*l**6/6 - 2216*l**5/45 - 254*l**4/9 - 64*l**3/9 - l**2 + 72*l. Find h such that p(h) = 0.
-1, -2/15, 8
Let m(w) = -w**3 - 47*w**2 + 375*w - 159. Let l be m(-54). Solve -16/3*t**2 + 2/3*t**5 + 0 + 0*t**4 - 4*t**l - 2*t = 0.
-1, 0, 3
Let j = 1895/5691 - -2/5691. Factor 1/6*o**3 + 1/2*o**2 + 0 + j*o.
o*(o + 1)*(o + 2)/6
Let v(o) be the second derivative of 7*o**6/720 - 37*o**5/240 + 5*o**4/24 + 8*o**3/3 - 45*o. Let n(f) be the second derivative of v(f). Factor n(q).
(q - 5)*(7*q - 2)/2
Let y(g) be the second derivative of 0*g**2 + 0 + 1/4*g**3 + 1/8*g**4 + 26*g. Determine q, given that y(q) = 0.
-1, 0
Let i = -7493/6 - -1249. Solve -1/6*l**4 - i + 1/6*l + 1/6*l**5 - 1/3*l**3 + 1/3*l**2 = 0.
-1, 1
Let k(y) be the first derivative of -4*y**3/3 + 20*y**2 + 44*y + 73. Factor k(s).
-4*(s - 11)*(s + 1)
Let i(h) = -h**3 + h**2 + 5. Let z be i(0). Let w be 14/z + 9/45. Factor -4*u**2 + 13*u**2 - w*u**4 + 63*u - 57*u.
-3*u*(u - 2)*(u + 1)**2
Factor 8/3*p - 4 - 1/3*p**2.
-(p - 6)*(p - 2)/3
Let f(d) = 8*d**2 + 3*d. Let c(s) = 7*s**2 + 2*s + 0*s**2 + 0 + 0. Let b(r) = -3*c(r) + 2*f(r). Find y such that b(y) = 0.
0
What is x in -96*x**2 + 98*x**2 + 52*x + 0*x = 0?
-26, 0
Let w(u) be the third derivative of u**7/17640 - u**6/840 + 3*u**4/8 + u**3/2 - 43*u**2. Let v(t) be the second derivative of w(t). Factor v(a).
a*(a - 6)/7
Let t(i) be the third derivative of -i**5/15 + 53*i**4/3 - 5618*i**3/3 - 151*i**2. Determine o so that t(o) = 0.
53
Let q(a) be the second derivative of -5*a**4/12 - 23*a**3/6 - 6*a**2 + 110*a - 2. Solve q(o) = 0.
-4, -3/5
Let 4/3*c**2 - 208/9 - 4/9*c**4 - 104/9*c**3 + 304/9*c = 0. Calculate c.
-26, -2, 1
Let n(z) be the first derivative of 2*z**3/27 + 28*z**2/9 + 366. Solve n(l) = 0 for l.
-28, 0
Let m(h) be the second derivative of h**8/168 - 4*h**7/105 + h**6/12 - h**5/15 - 17*h**2 + 23*h. Let k(d) be the first derivative of m(d). Factor k(w).
2*w**2*(w - 2)*(w - 1)**2
Let v = -2 - -4. Let l be (2/26)/(3/13). Factor -1/3*w**3 + 0*w - l*w**4 + 2/3*w**v + 0.
-w**2*(w - 1)*(w + 2)/3
Let m(o) be the third derivative of -9*o**6/10 - 197*o**5/60 - 95*o**4/24 - o**3 - 2*o**2 + 13. Suppose m(g) = 0. Calculate g.
-1, -3/4, -2/27
Let o(n) be the second derivative of 2*n**6/135 + 11*n**5/180 - n**4/36 + 28*n - 4. Factor o(b).
b**2*(b + 3)*(4*b - 1)/9
Let x = 763 + -759. Let d(u) be the third derivative of -7/30*u**x - 6*u**2 + 0*u - 1/50*u**6 - 8/75*u**5 - 4/15*u**3 + 0. Factor d(g).
-4*(g + 1)**2*(3*g + 2)/5
Let z(r) be the first derivative of 11*r**4 - 236*r**3/3 + 128*r**2 - 64*r - 248. Solve z(k) = 0 for k.
4/11, 1, 4
Suppose 5*d - 4 = -14. Let u be (-4 + d)*(80/(-36) + 2). Determine m, given that 0*m**3 + 0*m + u*m**2 - m**4 + 1/3*m**5 + 0 = 0.
-1, 0, 2
Let x be 20*18/3600*4/7. Let m(n) be the first derivative of 0*n**4 + 6 + 2/7*n**2 + 0*n + 2/7*n**3 - x*n**5. Factor m(f).
-2*f*(f - 2)*(f + 1)**2/7
Let b(u) be the second derivative of u**9/1512 - u**8/420 + u**3/2 - 12*u. Let y(c) be the second derivative of b(c). Let y(n) = 0. Calculate n.
0, 2
Let d(v) be the second derivative of 1/15*v**6 + 1/5*v**5 - 1/21*v**7 + 0 - 6*v - 1/3*v**4 + v**2 - 1/3*v**3. Factor d(m).
-2*(m - 1)**3*(m + 1)**2
Let c(s) be the first derivative of 7*s**3 + 93*s**2/2 + 36*s - 152. Suppose c(j) = 0. What is j?
-4, -3/7
Let x be ((-4)/(-12)*0)/1. Let d = x + 2. Factor 3*f - 1 + 3*f**2 - 3*f**3 + d - 4.
-3*(f - 1)**2*(f + 1)
Factor 22/23*y - 2/23*y**2 - 20/23.
-2*(y - 10)*(y - 1)/23
Let u(v) be the third derivative of -v**6/12 + 7*v**5/15 + 7*v**4/12 - 4*v**3 - 481*v**2. Factor u(j).
-2*(j - 3)*(j + 1)*(5*j - 4)
Let p(u) = -u**3 + 3*u**2 + u - 1. Let l(c) = 16*c**3 - 8*c**2 + 146*c + 142. Let q(z) = -2*l(z) - 28*p(z). Solve q(i) = 0 for i.
-8, -1
Let k be (3/(-3))/((-2)/8). Suppose k + 4 = 2*v. Find d, given that -2/3*d**2 + 2/3*d**v + 0*d + 2/3*d**5 + 0 - 2/3*d**3 = 0.
-1, 0, 1
Let g(l) = 7*l**4 + 6*l**3 - 20*l**2 - 14*l + 29. Let z(y) = -9*y**4 - 5*y**3 + 19*y**2 + 15*y - 30. Let m(x) = -5*g(x) - 4*z(x). Let m(q) = 0. Calculate q.
-1, 1, 5
Let u = 13 + -21. Let n be u*2/(-48) + 2/6. Factor -1/3*b**3 - 2/3*b + 0 + 5/3*b**2 - n*b**4.
-b*(b - 1)*(b + 2)*(2*b - 1)/3
Let j(l) = -3*l**2 - 94*l + 2028. Let w be j(-46). Factor 0 - 35/3*k**2 - 13/3*k**3 - 1/3*k**w + 49/3*k.
-k*(k - 1)*(k + 7)**2/3
Factor -268*x**3 - 45*x + 507*x**3 - 162 - 236*x**3 + 24*x**2.
3*(x - 3)*(x + 2)*(x + 9)
Factor 5/2*q + 11/2*q**3 + 0 + 19/2*q**2 - 3/2*q**4.
-q*(q - 5)*(q + 1)*(3*q + 1)/2
Let o(w) = -w**2 + 15*w + 12. Let m(z) = 2*z**2 - 15*z - 12. Suppose g = 4*g + 15. Let i(j) = g*o(j) - 4*m(j). Determine x, given that i(x) = 0.
-4, -1
Let v(s) = s**4 - s**3 - s**2. Let p(r) = r**4 + 3*r**4 - 2*r**2 + 4*r**3 + 10*r**2. Suppose -32 = 10*j - 6*j. Let d(o) = j*v(o) + p(o). Factor d(w).
-4*w**2*(w - 4)*(w + 1)
Let c(r) be the first derivative of 29*r**3/12 + r**2/8 - 261. Determine z, given that c(z) = 0.
-1/29, 0
Let x(o) be the first derivative of -2/33*o**3 + 0*o + 2/55*o**5 - 1/22*o**4 - 4 + 1/11*o**2. Determine d, given that x(d) = 0.
-1, 0, 1
Let c = 20 + -36. Let h = c + 18. Let 6*u**h + u**2 + 4*u**3 - 7*u**2 = 0. What is u?
0
Suppose -26 = y - 2*y + 2*n, -4*y = 5*n - 39. Let i = y + -12. Solve -3*z**2 + z**5 + 3*z**i + z**3 + 2*z - 4*z + 0*z**2 = 0 for z.
-2, -1, 0, 1
Factor -81/5*t**3 - 75843/5*t + 446631/5 + 4293/5*t**2.
-3*(3*t - 53)**3/5
Let p(l) = -l**4 - l**3 - 4*l**2 + l - 5. Let m = 63 + -68. Let u(g) = -4*g**4 - 4*g**3 - 12*g**2 + 4*g - 16. Let d(r) = m*u(r) + 16*p(r). Factor d(k).
4*k*(k - 1)*(k + 1)**2
Let o(h) = -18*h**3 - 29*h**2 + 13*h + 24. Let k(z) = 10*z**3 + 15*z**2 - 7*z - 12. Let p(a) = -5*k(a) - 3*o(a). Solve p(n) = 0.
-3, -1, 1
Factor 0*f + 0 - 2/11*f**3 - 6/11*f**2.
-2*f**2*(f + 3)/11
What is u in 3*u + 0 + 5/2*u**3 + 17/2*u**2 = 0?
-3, -2/5, 0
Let n = -33 - -39. Let j(a) be the first derivative of 0*a**3 - 4/5*a**5 + 9 + 2/3*a**n + 0*a**4 + 0*a + 0*a**2. Factor j(l).
4*l**4*(l - 1)
Factor -1/2*r**3 + 0 + r - 1/2*r**2.
-r*(r - 1)*(r + 2)/2
Suppose 0 = -6*u + a + 7, -