 0. What is t?
0, 12
Let h(n) = -10*n**4 - 66*n**3 - 232*n**2 - 132*n + 44. Let g(b) = -4*b**4 - 33*b**3 - 116*b**2 - 65*b + 22. Let a(t) = -9*g(t) + 4*h(t). Solve a(v) = 0.
-2, -1, 1/4, 11
Let a be 1449/15*(-40)/(-18). Let k = -214 + a. Factor -4/3*c**2 + 1/3*c - k*c**4 + 0 + 5/3*c**3.
-c*(c - 1)**2*(2*c - 1)/3
Let s(h) = 7*h**2 - 14 + 3*h**2 + 14 - 8*h**2. Let v(y) = 17*y**2 + 2*y - 15. Let w(q) = 24*s(q) - 3*v(q). Find a such that w(a) = 0.
-5, 3
Let g = -684 + 687. Suppose 9*q + 4*k - 18 = 4*q, 3*k = g*q. Factor 40*v + 125/2*v**q + 10 + 95/2*v**3 + 35/2*v**4 + 5/2*v**5.
5*(v + 1)**3*(v + 2)**2/2
Let t(b) be the first derivative of -2*b**3/39 - 7*b**2/13 + 736*b/13 + 533. Factor t(o).
-2*(o - 16)*(o + 23)/13
Determine j, given that -1/6*j - 1/3*j**2 + 1/6*j**4 + 1/6 + 1/3*j**3 - 1/6*j**5 = 0.
-1, 1
Let l = 26/71 + 13793/142. Factor 245/4 - 140*v - 20*v**3 + l*v**2 + 5/4*v**4.
5*(v - 7)**2*(v - 1)**2/4
Let w be (3152/(-320) - -10)*(-50)/(-228). Let m = 61/456 + w. Suppose 5/12*l + 1/12*l**4 + m*l**2 + 1/12*l**5 - 1/4 - 1/2*l**3 = 0. What is l?
-3, -1, 1
Determine n so that 217*n**2 + 322*n**2 - 100*n + 3*n**3 - 756 - 164*n**2 - 183*n - 101*n = 0.
-126, -1, 2
Let g(q) = -21*q**2 - 1041*q + 1980. Let m(t) = -24*t**2 - 1051*t + 1981. Let l(c) = 7*g(c) - 6*m(c). Factor l(k).
-3*(k - 2)*(k + 329)
Let s(i) be the second derivative of -i**6/105 + 2*i**5/5 + 7*i**4/2 - 294*i**3 - 2297*i - 2. Find u, given that s(u) = 0.
-14, 0, 21
Let f be ((-26)/(-104))/(1/8). Solve 4*g - 22*g - g**2 - 3*g**f + 2*g**2 = 0 for g.
-9, 0
Let h(z) be the second derivative of z**6/75 + 3*z**5/50 - 7*z**4/30 - z**3 + 18*z**2/5 - 905*z + 2. Factor h(m).
2*(m - 2)*(m - 1)*(m + 3)**2/5
Factor 1/3*v**3 - 9*v + 18 + 0*v**2.
(v - 3)**2*(v + 6)/3
Let z be 4 - (3 + 1 + (-30)/5). Suppose -2*f = -3*k - z, 3*f = -0*k + 3*k + 6. Factor f*m + 0 - 6/5*m**3 + 3/5*m**5 + 0*m**2 + 3/5*m**4.
3*m**3*(m - 1)*(m + 2)/5
Let q(c) be the first derivative of c**6/48 - 3*c**5/8 + 13*c**4/16 + c**3/12 - 27*c**2/16 + 13*c/8 - 47. Suppose q(g) = 0. What is g?
-1, 1, 13
Suppose 2*z = 5*z + 405. Let v = z - -138. Find d, given that 3*d**4 + 12*d**4 - 12*d**4 - v*d**5 = 0.
0, 1
Let a(m) = -17*m**2 - 21*m + 6. Let d(h) = 185*h**2 + 230*h - 65. Let k = -214 + 149. Let r(g) = k*a(g) - 6*d(g). Suppose r(q) = 0. What is q?
-3, 0
Let x(i) be the third derivative of 71*i**8/336 - 261*i**7/70 + 1289*i**6/60 - 302*i**5/15 - 188*i**4 + 64*i**3/3 - 2*i**2 + 530*i. Factor x(s).
(s - 4)**3*(s + 1)*(71*s - 2)
Let y(f) be the second derivative of f**6/12 - 43*f**5/8 + 205*f**4/8 - 605*f**3/12 + 50*f**2 - 8*f + 3. Factor y(z).
5*(z - 40)*(z - 1)**3/2
Let l(g) = -201*g**2 - 403*g + 25. Let d be l(-2). Let -d*w - 5/2*w**2 + 11/2 = 0. What is w?
-11, 1/5
Let 120 - 441*l**2 + 46*l**3 - 181*l**3 + 276*l**2 + 0*l**4 - 10*l**4 + 190*l = 0. What is l?
-12, -2, -1/2, 1
Suppose -228 = -108*k + 89*k. Let x(m) be the second derivative of -m**2 - k*m - 2/3*m**3 - 1/6*m**4 + 0. Determine t, given that x(t) = 0.
-1
Let f = 2306/27 + -16115/189. Find t, given that -f*t**5 + 0 + 10/7*t**2 + 6/7*t**4 - 12/7*t**3 - 3/7*t = 0.
0, 1, 3
Suppose -1843*p - 668 = -1847*p. Solve p*x**2 - 157*x**2 + 7*x**3 + 17*x - 6*x**3 + 8 = 0.
-8, -1
Let h = -56403/13 - -4339. Let g(b) be the second derivative of -1/195*b**6 - 1/6*b**4 - 5*b - h*b**3 - 4/13*b**2 + 0 - 3/65*b**5. Factor g(o).
-2*(o + 1)**2*(o + 2)**2/13
Let l = -454/177 + 3355/1239. Determine y, given that -1/7*y + 1/7*y**3 + 0 + l*y**4 - 1/7*y**2 = 0.
-1, 0, 1
Factor -79*l**4 + 44*l**4 - 8138954 - 12056040*l - 1871239 + 199836*l**2 - 2246781 + 37*l**4 - 1096*l**3.
2*(l - 183)**3*(l + 1)
Let 1685*k**2 - 3367*k**2 - 14820*k + 4816594 + 1687*k**2 + 1075895 + 5089131 = 0. What is k?
1482
Let 19*g**2 + 166*g**3 + 172*g**3 - 900 - 795*g - 515*g**3 - 113*g**2 + 174*g**3 = 0. What is g?
-15, -4/3
Suppose g - 3*j = 14, 0 = -4*g - 6*j + j - 12. Factor 6 + 3*i - 12*i - 746*i**g + 740*i**2.
-3*(i + 2)*(2*i - 1)
Let 1/2*n**3 + 22*n - 19/2*n**2 + 32 = 0. Calculate n.
-1, 4, 16
Factor -13/5*b**2 + 52/5*b - 12 + 1/5*b**3.
(b - 6)*(b - 5)*(b - 2)/5
Suppose -2029*r**5 + 9*r**2 + 1011*r**5 + 2*r**4 + 1015*r**5 - 11*r**4 + 3*r**3 = 0. What is r?
-3, -1, 0, 1
Suppose 4*v - 56 = -4*y, 0 = -4504*v + 4500*v + 56. Factor -g**2 - 1/2*g + y - 1/2*g**3.
-g*(g + 1)**2/2
Let d(y) be the second derivative of 2/15*y**3 + 8/15*y**4 - 1/25*y**5 - 16/5*y**2 + 0 + 78*y. Find f such that d(f) = 0.
-1, 1, 8
Let l(x) = 15*x**2 - 3*x - 2. Let p be l(-1). Suppose p + 4 = 5*d. Factor 179*a**3 + 4*a**d - 12*a**2 - 4 - 20*a - 4 - 175*a**3.
4*(a - 2)*(a + 1)**3
Let b(a) = 5*a**4 + 525*a**3 - 605*a**2 - 15*a. Let l(h) = 3*h**3 + 2*h**2 + h. Let s(j) = b(j) + 15*l(j). Factor s(y).
5*y**2*(y - 1)*(y + 115)
Let h(j) = 221 + 12*j - 103 - 18. Let x be h(-8). Solve 4/5*c**2 + 2/5*c**3 + 0 - 4*c**5 - 22/5*c**x + 0*c = 0.
-1, -1/2, 0, 2/5
Factor -4/5*y**4 + 0 + 0*y + 36*y**2 + 16/5*y**3.
-4*y**2*(y - 9)*(y + 5)/5
Factor 2/3*v**2 + 552*v + 0.
2*v*(v + 828)/3
Factor 2/3*c - 4 + 2/3*c**3 + 8/3*c**2.
2*(c - 1)*(c + 2)*(c + 3)/3
Let i(o) be the second derivative of -o**5/20 - 2411*o**4/12 - 242004*o**3 + 727218*o**2 - 1607*o. Factor i(d).
-(d - 1)*(d + 1206)**2
Find t, given that -81 - 15/4*t**4 + 51*t**3 - 837/4*t**2 + 243*t = 0.
3/5, 1, 6
Let x(o) be the third derivative of 5*o**3 + 0*o - 1/42*o**7 + 0 + 25/24*o**4 + 101*o**2 - 5/12*o**5 - 5/24*o**6. Suppose x(g) = 0. What is g?
-3, -2, -1, 1
Factor -1207 - 324 - 125*c**2 + 1296*c**3 - 1301*c**3 - 760*c + 171.
-5*(c + 4)**2*(c + 17)
Let b = -1/28348 - -623663/198436. Let -b*t - 2/7 + 72/7*t**3 - 48/7*t**2 = 0. Calculate t.
-1/6, 1
Let f = 602517 - 602517. Solve -12/5*d - 4/5*d**2 + f = 0 for d.
-3, 0
Suppose 435/2*q**3 + 0 + 120*q + 575/2*q**2 + 105/2*q**4 + 5/2*q**5 = 0. Calculate q.
-16, -3, -1, 0
Let j(z) be the third derivative of z**7/168 - z**6/36 + z**5/24 + 55*z**3/3 - 45*z**2. Let t(a) be the first derivative of j(a). Let t(g) = 0. Calculate g.
0, 1
Let k(y) be the third derivative of 1/216*y**6 - 4/9*y**3 + 1/1890*y**7 + 0*y - 5/54*y**4 + 1/270*y**5 + 0 - 160*y**2. Determine x so that k(x) = 0.
-3, -2, 2
Factor -6 + 1/2*o**3 + 35/2*o + 5/2*o**4 - 29/2*o**2.
(o - 1)**2*(o + 3)*(5*o - 4)/2
Suppose -2*p + 37 - 7 = 0. Factor -7*o**3 - 4*o**4 - 12*o**2 - p*o**3 - 32 + 8*o**4 + 6*o**3 + 56*o.
4*(o - 4)*(o - 1)**2*(o + 2)
Let m(n) be the first derivative of 1/10*n**5 + 5/3*n**4 + 29 + 32*n**2 - 2*n + 32/3*n**3. Let t(v) be the first derivative of m(v). Factor t(k).
2*(k + 2)*(k + 4)**2
Factor 20000/17 - 400/17*g + 2/17*g**2.
2*(g - 100)**2/17
Let i(v) = -60*v**4 - 45*v**3 + 117*v**2 - 12*v + 228. Let g(q) = q**4 + q**3 - 2*q**2 - 4. Let t(a) = 57*g(a) + i(a). Factor t(n).
-3*n*(n - 4)*(n - 1)*(n + 1)
Let f(k) be the first derivative of 2*k**3/3 + 11*k**2 + 32*k - 3. Let z be f(-14). Factor 5*h**2 + z - h**2 + 80 + 15*h + 41*h.
4*(h + 7)**2
Let n = -182/327 - -400/327. Factor 2 - 2/3*v**4 + 28/3*v**2 - n*v**5 + 22/3*v + 4*v**3.
-2*(v - 3)*(v + 1)**4/3
Let w(r) = -r**2 - 13*r - 12. Let o be w(-12). Suppose -5*n - x - 3 = o, -4*x = 2*n - 3*x + 3. Factor 4/9*s - 2/9*s**2 + n.
-2*s*(s - 2)/9
Suppose -4/3*n**4 + 56/3*n**2 - 20/3*n**3 + 0*n + 0 = 0. What is n?
-7, 0, 2
Let b(t) = -304*t + 2128. Let i be b(7). Suppose -1/10*f**3 + 11/10*f**2 + 6/5*f + i = 0. What is f?
-1, 0, 12
Let a(u) be the third derivative of u**9/12096 - u**7/336 + u**6/72 + u**5/60 - u**4/12 - 42*u**2. Let o(b) be the third derivative of a(b). Factor o(t).
5*(t - 1)**2*(t + 2)
Let b(x) be the second derivative of 5/33*x**4 + 1/165*x**6 - 61*x + 2 - 3/11*x**2 + 2/231*x**7 - 6/55*x**5 + 2/33*x**3. Solve b(o) = 0 for o.
-3, -1/2, 1
Let r(h) = -15*h**3 - 375*h**2 + 1455*h - 1450. Let k(i) = -11*i**3 - 376*i**2 + 1456*i - 1448. Let y(l) = 5*k(l) - 4*r(l). Factor y(c).
5*(c - 72)*(c - 2)**2
Let c be 17 - 10 - (-1065)/4. Let w = c + -273. Suppose 1/4*q + 1/4 - w*q**3 - 1/4*q**2 = 0. Calculate q.
-1, 1
Let a = -285067/14 + 40733/2. Factor -48/7*r**2 + 0 - a*r - 10/7*r**3.
-2*r*(r + 4)*(5*r + 4)/7
Let m(j) = -j**3 + j**2 + 3*j + 2. Let u(b) = 61*b**3 - 117*b**2 + 47*b - 1. Let d(f) = 2*m(f) + u(f). Factor d(t).
(t - 1)**2*(59*t + 3)
Let c be ((-2)/5)/((-18)/225). Suppose -8*n + 3*n - 10 = -4*w, n + 2 = -c*w. Solve w*o**2 - 3/5*o**5