 0. What is f?
-1, 0, 3
Factor -3/8*t**2 + 9 - 15/4*t.
-3*(t - 2)*(t + 12)/8
Let a(w) = -4*w**2 - 536*w + 2780. Let p(d) = 4*d**2 + 536*d - 2780. Let j(g) = 14*a(g) + 13*p(g). Factor j(v).
-4*(v - 5)*(v + 139)
Let j be (-60)/45*(-2)/3 - 6/27. Factor 0*t**2 + 2/3*t**3 + 0*t + 0 - 4/3*t**5 - j*t**4.
-2*t**3*(t + 1)*(2*t - 1)/3
Let w be (52 + (-10353)/255)*15/36 - 14/8. What is n in 48/13*n + 0*n**w - 2/13*n**4 + 44/13*n**2 - 90/13 = 0?
-3, 1, 5
Let j be (-3)/(-13) - 10044/(-3627). Let c(h) be the first derivative of -3/2*h**2 - 1/2*h**j + 16 + 3/8*h**4 + 0*h. Factor c(l).
3*l*(l - 2)*(l + 1)/2
Suppose -30*l - 1/4*l**5 + 0 - 71/4*l**3 + 7/2*l**4 + 77/2*l**2 = 0. What is l?
0, 2, 3, 4, 5
Let i(l) be the third derivative of -2/15*l**5 + 0*l + 0 + 5/6*l**4 + 222*l**2 - 1/30*l**6 + 4*l**3. Find v, given that i(v) = 0.
-3, -1, 2
Let i(x) = -15*x**2 - 27740*x - 38447620. Let j(k) = -17*k**2 - 27742*k - 38447615. Let f(m) = 6*i(m) - 5*j(m). Factor f(o).
-5*(o + 2773)**2
What is d in -18*d + 3*d**5 + 51*d**2 + 134*d**4 + 136*d**4 - 99*d**3 + 108*d**2 - 261*d**4 - 54*d = 0?
-8, 0, 1, 3
Solve 88*v + 242 - 22*v**3 - 109/2*v**2 - 3/2*v**4 = 0 for v.
-11, -11/3, -2, 2
Let q(n) be the third derivative of n**6/480 - 109*n**5/48 + 2329*n**4/3 - 9248*n**3/3 - 1584*n**2. Solve q(f) = 0.
1, 272
Factor 14*k**4 - 245*k**5 - 4 + 216*k - 59*k**4 + 213*k**3 + 248*k**5 - 387*k**2 + 4.
3*k*(k - 8)*(k - 3)**2*(k - 1)
Let u = -72303 - -2386279/33. Let b = 24/11 + u. Let 8/3*h + 4/3*h**2 - b = 0. Calculate h.
-4, 2
Let b be (0 + 12)/(16620/4432). Factor 0 + 16/5*k**2 + 0*k + 4/5*k**4 + b*k**3.
4*k**2*(k + 2)**2/5
Let i(s) = -10*s**2 - 49*s + 7. Let y be i(-5). Factor 14*p**y - 9*p**2 + 90*p + 421 - 32 + 16.
5*(p + 9)**2
Find g, given that -13/3*g - 1/6*g**2 + 28/3 = 0.
-28, 2
Let x be (9/(-12))/(30/(-80)). Factor -5*o**2 + 18 - 36*o + 2*o**x + 15 - 141.
-3*(o + 6)**2
Let k = -255 - -259. Let h(o) be the second derivative of 2/21*o**7 + 0*o**2 - 2/15*o**6 + 0 - 27*o + 4/3*o**3 + 1/3*o**k - 3/5*o**5. Find s such that h(s) = 0.
-1, 0, 1, 2
Suppose 0 = 5*i - 20, -260*g - 5*i + 25 = -259*g. Let k = 11 + -7. Find t, given that -k*t**2 - 34 + g*t**2 + 34 = 0.
0
Factor 0 + 1/8*s**3 - 15/8*s**2 - 25/2*s.
s*(s - 20)*(s + 5)/8
Let a be 2/7 - (-22 + (-3124)/(-154)). Let k(z) be the first derivative of z**5 - 1 - 5*z**4 - 5*z**a + 25/3*z**3 + 0*z. Factor k(u).
5*u*(u - 2)*(u - 1)**2
Let y(c) = -2*c**4 + 74*c**3 - 216*c**2 + 120*c - 4. Let j(o) = 2*o**4 - 73*o**3 + 215*o**2 - 114*o + 5. Let s(u) = 4*j(u) + 5*y(u). Factor s(i).
-2*i*(i - 36)*(i - 2)*(i - 1)
Suppose -36 = -5*y - 4*s, 1008*s + 27 = -4*y + 1011*s. Factor -2/9*j**2 - 2/3*j + y.
-2*j*(j + 3)/9
Suppose -5*j = -3*g - 6, -2*g + 5 = 2*j + 9. Let s(w) be the first derivative of -3/7*w**2 + 7 + j*w + 1/7*w**3. Factor s(v).
3*v*(v - 2)/7
Let x(k) be the second derivative of -1/2*k**5 + 6*k - 22/3*k**3 - 8 + 19/2*k**4 + 0*k**2. Solve x(d) = 0 for d.
0, 2/5, 11
Let o(j) = 3*j**4 + 21*j**3 - 47*j**2 + 31*j + 4. Let h(t) = 3*t**4 + 21*t**3 - 46*t**2 + 32*t + 5. Let u(s) = 4*h(s) - 5*o(s). Factor u(f).
-3*f*(f - 1)**2*(f + 9)
Let t(h) = -h**3 + 10*h**2 - h - 1. Let m(o) = 478*o**2 - 8838*o + 14122. Let a(g) = m(g) + 10*t(g). Factor a(b).
-2*(b - 28)**2*(5*b - 9)
Let g = 51817 + -259077/5. Suppose g + 8/5*q**2 + 34/5*q = 0. What is q?
-4, -1/4
Let f = -212751 + 212815. Let -100/3*m**4 - f - 592*m**2 - 1072/3*m - 260*m**3 = 0. What is m?
-4, -3, -2/5
Let m be (-26)/117*(-3)/4. Let g(x) be the first derivative of 2/5*x**2 - 17/20*x**4 - m*x**6 + 0*x + 12 + 0*x**3 + 18/25*x**5. Solve g(z) = 0 for z.
-2/5, 0, 1, 2
Find f, given that 4/5*f**4 - 304/5*f**2 + 0 - 44/5*f**3 - 256/5*f = 0.
-4, -1, 0, 16
Let y(a) be the second derivative of a**5/10 - a**4/2 - 10*a**3/3 + 982*a. Factor y(i).
2*i*(i - 5)*(i + 2)
Let p(q) be the first derivative of 1/20*q**4 - 3/10*q**2 + 2/15*q**3 + 0*q - 21. Find c such that p(c) = 0.
-3, 0, 1
Let -56*f + 167/3 + 56*f**3 - 166/3*f**2 - 1/3*f**4 = 0. Calculate f.
-1, 1, 167
Suppose 83*c - 87*c + 32 = 0. Factor 34*k + 44 - c - 88*k**2 + 86*k**2.
-2*(k - 18)*(k + 1)
Let y be ((-45)/(-12))/(165/264) - (7 - 4). Factor 2/3*x - 4/3*x**y + 0*x**2 + 0*x**4 + 0 + 2/3*x**5.
2*x*(x - 1)**2*(x + 1)**2/3
Let g(i) be the third derivative of -1/14*i**4 + 0*i**3 + 1/784*i**8 + 48*i**2 + 3/280*i**6 + 2/245*i**7 - 1/35*i**5 + 0*i + 0. What is o in g(o) = 0?
-2, -1, 0, 1
What is i in 2/7*i**4 + 144*i**3 + 1006/7*i**2 + 0 + 0*i = 0?
-503, -1, 0
Let n(d) be the first derivative of d**3/24 + 403*d**2/8 - 807*d/8 + 68. Factor n(a).
(a - 1)*(a + 807)/8
Find y such that -362 + 44*y - 75*y**2 + 296*y - 118 - 13*y**3 + 3*y**3 + 15*y**3 = 0.
3, 4, 8
Let s = 43548/5 - 40261/5. Let r = s + -655. Factor -4*y**2 + 0 - 32/5*y**3 + r*y.
-4*y*(y + 1)*(8*y - 3)/5
Let b(z) be the second derivative of -95*z**4/12 + 550*z**3/9 + 80*z**2/3 + 4155*z. What is d in b(d) = 0?
-8/57, 4
Solve -50987301*s**2 + s**3 - s - 7 + 50987308*s**2 + 0 = 0 for s.
-7, -1, 1
Let p be (-2)/30 - (47/(-30) - 2597/(-2226)). Factor -1/2*j**2 + 4/3*j - 2/3 - p*j**3 + 1/6*j**4.
(j - 2)*(j - 1)**2*(j + 2)/6
Let s be (-1*(-6)/8)/((-99)/(-528)). Suppose 3*n = g + 3 - 21, -s*g - n = -7. Factor -6/7*b**2 + 3/7*b**5 - 3/7 + 9/7*b**4 + 6/7*b**g - 9/7*b.
3*(b - 1)*(b + 1)**4/7
Let w(k) = 7*k**2 + 56*k + 6. Let z be w(-8). Suppose -17*q = -20*q + z. What is x in 18*x - 1 - 485*x**3 + 2*x**4 + 499*x**3 + 30*x**q + 1 = 0?
-3, -1, 0
Let m(z) = z**2 - z - 15. Let g(v) = -335*v**2 - 705*v - 160. Let x(r) = g(r) - 10*m(r). Find n such that x(n) = 0.
-2, -1/69
Let v(a) be the second derivative of 1/50*a**5 + 8/15*a**3 + 2 + 4/5*a**2 - 152*a + 1/6*a**4. Suppose v(p) = 0. What is p?
-2, -1
Let y(o) be the second derivative of -3*o**5/160 + 5*o**4 - 6237*o**3/16 - 19683*o**2/8 + 2*o - 355. Solve y(k) = 0 for k.
-2, 81
Find o, given that -432*o + 32*o**3 + 336 + 4/3*o**4 + 188/3*o**2 = 0.
-21, -6, 1, 2
Let v = -983 + 176941/180. Let x(q) be the third derivative of 0*q**5 + 1/315*q**7 + 0 + 0*q**4 + 0*q + 0*q**3 + 16*q**2 + v*q**6. Factor x(n).
2*n**3*(n + 1)/3
Factor 685/3 + 1/3*c**2 + 686/3*c.
(c + 1)*(c + 685)/3
Let h(f) be the first derivative of 90*f + 135/2*f**2 + 51 + 50/3*f**3 + 5/4*f**4. Determine w so that h(w) = 0.
-6, -3, -1
Factor 2*j**3 - 2/5*j**2 + 0*j + 0 - 8/5*j**4.
-2*j**2*(j - 1)*(4*j - 1)/5
Let l = 525 + -527. Let o be 343/294 + l/3. Factor -o*k**2 - 3/2*k - 1.
-(k + 1)*(k + 2)/2
Let m(v) be the third derivative of v**8/10080 - v**7/280 - 11*v**6/180 + 47*v**5/20 + v**2 + v. Let j(o) be the third derivative of m(o). Solve j(w) = 0 for w.
-2, 11
Let y(v) be the second derivative of v**6/75 - 37*v**5/50 - 13*v**4/5 - 233*v + 2. Let y(g) = 0. Calculate g.
-2, 0, 39
Let q(h) = 68*h**3 - 1368*h**2 - 6944*h - 9072. Let y(t) = -7*t**3 + 144*t**2 + 731*t + 955. Let m(v) = -5*q(v) - 48*y(v). Find g, given that m(g) = 0.
-10, -6, -2
Let i(f) be the third derivative of -5*f**8/336 + 17*f**6/8 - 49*f**5/6 + 10*f**4 - 188*f**2. Solve i(k) = 0.
-8, 0, 1, 6
Determine n, given that -54*n + 984/5 + 3/5*n**3 - 117/5*n**2 = 0.
-4, 2, 41
Let m = 33630 - 33630. Let a(x) be the first derivative of -1/5*x**5 - 47 + 1/3*x**3 - x**2 - 1/6*x**6 + 3/4*x**4 + m*x. Find u, given that a(u) = 0.
-2, -1, 0, 1
Factor 0 - 624*d**2 + 1/2*d**3 + 194688*d.
d*(d - 624)**2/2
Let h(u) be the third derivative of -1/105*u**7 - 2*u**2 - 1/4*u**3 - 13/48*u**4 - 21 + 0*u - 7/40*u**5 - 1/16*u**6. Factor h(l).
-(l + 1)**3*(4*l + 3)/2
Let s(h) be the second derivative of 0 + 0*h**2 + 1/84*h**7 - 3/4*h**3 - 1/4*h**4 - 35*h + 1/5*h**5 + 1/10*h**6. Factor s(z).
z*(z - 1)*(z + 1)*(z + 3)**2/2
Let y be 702/440 + (-15)/20 + (-3)/10. Factor -2/11*l**3 + y*l + 0*l**2 + 4/11.
-2*(l - 2)*(l + 1)**2/11
Let o(a) be the first derivative of a**7/315 + a**6/45 + a**5/45 - a**4/9 - a**3/3 + 152*a**2 + 50. Let u(j) be the second derivative of o(j). Factor u(x).
2*(x - 1)*(x + 1)**2*(x + 3)/3
Find i, given that 0*i**3 + i**3 - 156*i - 22500 + 14*i**2 + 0*i**3 + 1331*i - 2*i**3 = 0.
-36, 25
Let v = 51295 - 51291. Suppose 3/8*y**v + 21/8*y**3 + 9/4 + 51/8*y + 51/8*y**2 = 0. What is y?
-3, -2, -1
Let x(w) be the second derivative of -w**4/12 - 689*w**3/6 + 9186*w. Factor x(t).
-t*(t + 689)
Suppose -365*z + 463 + 230 = 53*z - 143. Find f, given tha