80*o**6 + 0*o + 6. Suppose v(x) = 0. What is x?
-3, -1, 0
Let q(w) = -w**4 + w**3 - w**2 + w - 1. Let l(o) = -9*o**5 + 38*o**4 - 50*o**3 + 28*o**2 - 5*o + 2. Let g(s) = l(s) + 4*q(s). Suppose g(t) = 0. What is t?
-2/9, 1
Let h(c) = -3*c**3 + 2*c**2 + 2*c + 3. Let w(f) = -28*f**3 - 1840*f**2 - 217124*f - 426864. Let b(q) = -8*h(q) + w(q). Factor b(m).
-4*(m + 2)*(m + 231)**2
Let f = 480 - 524. Let x = f + 44. Factor 1/4*z**3 + 0 + x*z**2 - 1/4*z.
z*(z - 1)*(z + 1)/4
Let s be (-121660)/(-1995) - -2*(-1)/3. Let g = s - 60. Let 4/19*x - 4/19*x**3 + 0 + 6/19*x**2 - g*x**4 = 0. Calculate x.
-1, -2/3, 0, 1
Let 78/5*z**4 - 798/5*z + 2/5*z**5 + 796/5*z**3 + 644/5*z**2 - 722/5 = 0. Calculate z.
-19, -1, 1
Let x = -7649 + 7651. Let d(m) be the first derivative of 6/5*m - 3 - 1/5*m**3 - 3/10*m**x. Factor d(c).
-3*(c - 1)*(c + 2)/5
Let k(f) = -2*f + 21. Let c(d) = d - 10. Let t(b) = -7*c(b) - 4*k(b). Let x be t(16). Solve 1 - 3*z**2 - 16*z - 16 - z**x + 3 = 0 for z.
-3, -1
Let p = -4386 - -4397. Let c(z) be the second derivative of -p*z + 3/4*z**4 + 0 + 3/2*z**3 + 3/20*z**5 + 3/2*z**2. Find l, given that c(l) = 0.
-1
Suppose 177*m - 54*m = 2706. Let s(g) be the first derivative of 4/3*g**2 - 4/3*g - 5/9*g**3 + m + 1/12*g**4. Factor s(i).
(i - 2)**2*(i - 1)/3
Suppose -8/9*z**5 + 2*z**2 + 6*z**4 + 0 + 10/9*z - 74/9*z**3 = 0. Calculate z.
-1/4, 0, 1, 5
Suppose 0 = 82*w - 527 - 47. Suppose -5*l + 3*h = 6 - 0, w*h = -4*l + 14. Factor 2/7*f**3 + 0*f + 6/7*f**2 + l.
2*f**2*(f + 3)/7
Let l(m) = 2*m - 9. Let t be l(6). Let h be -2 + t + -2 + 0 + 3. Factor -152*o + 158*o - 22*o**h + 16*o**3 + 3*o**4 + 5*o**4.
2*o*(o + 3)*(2*o - 1)**2
Factor 1/9*w**3 + 7/9*w**2 - 64 - 20*w.
(w - 12)*(w + 3)*(w + 16)/9
Let y = 46 - 91. Let f = -42 - y. Factor 0*r**f + r**3 - 4*r**4 + 3*r**4 + 0*r**3.
-r**3*(r - 1)
Suppose -2*p + 5*j = -25, -13*p - 5*j = -0*p + 25. Let g(f) be the second derivative of 0 + 8*f - 1/8*f**4 + p*f**2 + 1/2*f**3. Factor g(t).
-3*t*(t - 2)/2
Let f(s) = 2*s**3 - 2*s**2 - 8*s + 11. Let t be f(2). Let v(o) be the second derivative of 0 - 49/2*o**2 - 16*o - 1/12*o**4 + 7/3*o**t. Factor v(j).
-(j - 7)**2
Let y(z) = -4*z**3 + 72*z**2 + 1148*z - 1152. Let u(j) = j**3 - 14*j**2 - 229*j + 230. Let q(t) = 16*u(t) + 3*y(t). Factor q(h).
4*(h - 8)*(h - 1)*(h + 7)
Let b(h) be the third derivative of 2*h**6/15 + 89*h**5/30 - 101*h**4/6 + 35*h**3 + 306*h**2 + 1. Suppose b(t) = 0. Calculate t.
-105/8, 1
Let i(p) = 169*p - 33966. Let o be i(201). Suppose 14/11*y**2 - 2*y + 2*y**o - 6/11 - 8/11*y**4 = 0. Calculate y.
-1, -1/4, 1, 3
Let v(s) = -2*s**3 + 10*s**2 + 27*s - 133. Let n be v(5). What is f in 2/5*f**n + 12/5 - 2*f = 0?
2, 3
Suppose 1862602 - 1861967 = 127*x. Factor -4/3*d**3 + 10/3*d**4 + 0 + 0*d - 8/3*d**2 - d**x.
-d**2*(d - 2)**2*(3*d + 2)/3
Let x = 107 + -103. Determine h, given that h**2 - 1992*h**3 - x*h - 9*h**2 + 1988*h**3 = 0.
-1, 0
Let a = 45537 - 45537. Solve a + 0*j**2 + 2/7*j**3 - 8/7*j = 0.
-2, 0, 2
Let r = -17581 - -17581. Let a(o) be the second derivative of 1/35*o**5 + 8/21*o**3 - 4/21*o**4 - 32*o + r + 0*o**2. Find d, given that a(d) = 0.
0, 2
Let a(d) be the second derivative of 2*d**6/15 - d**5/5 - 2*d**4/3 + 805*d. Factor a(j).
4*j**2*(j - 2)*(j + 1)
Let o be (2/9)/((-182)/(-234))*(18 - -6). Factor 160/7*c + 36/7*c**3 - o - 156/7*c**2.
4*(c - 3)*(3*c - 2)**2/7
Let a(n) be the first derivative of n**3/6 + 15*n**2 + 288*n - 1535. Suppose a(m) = 0. What is m?
-48, -12
Let y(l) be the third derivative of -l**8/336 + 7*l**6/120 - l**5/10 + 313*l**2 + l. Let y(b) = 0. Calculate b.
-3, 0, 1, 2
Let m(k) be the first derivative of -5*k**4/4 - 10*k**3 + 2205*k**2/2 - 4250*k - 12391. Find z such that m(z) = 0.
-25, 2, 17
Let b(i) be the second derivative of i**6/60 - i**5/10 - 277*i**4/24 - 404*i**3/3 - 336*i**2 + 1681*i. What is v in b(v) = 0?
-8, -1, 21
Factor 4550*g**3 - 5*g**2 - 9295*g**3 + 4645*g**3 + 100*g + 5.
-5*(g - 1)*(g + 1)*(20*g + 1)
Let u(i) be the third derivative of i**7/210 - 7*i**6/120 - 2*i**5/15 + 9*i**4/2 - 24*i**3 + 4*i**2 + 2*i - 599. Let u(f) = 0. Calculate f.
-4, 2, 3, 6
Suppose -4*n + 4*h + 20 = 0, 5*n - 23 = 2*h + 2*h. Let p be ((-6)/(-5))/((-6)/(-90)*6). Factor 0*v**3 + 0*v**n + 3*v**2 - 10*v**p + 5*v**3.
-v**2*(5*v - 3)
Let j(v) be the second derivative of -v**5/80 - 109*v**4/48 - 3127*v**3/24 - 8427*v**2/8 + 3840*v. Suppose j(z) = 0. What is z?
-53, -3
Let n(w) be the third derivative of w**7/840 - 7*w**6/360 + w**5/12 + 71*w**3/3 + 5*w**2 - 9*w. Let d(y) be the first derivative of n(y). Factor d(m).
m*(m - 5)*(m - 2)
Let o be (-1862)/(-35) + -53 + 0 + 0. Let n = -309/5 - -62. Suppose 0 + 1/5*q**3 + 0*q + 1/5*q**4 - o*q**2 - n*q**5 = 0. What is q?
-1, 0, 1
Let q = 208889 - 1873325/9. Let k = 742 - q. What is s in 4/9*s**3 - k*s**5 + 0*s + 2/9*s**4 + 0 + 0*s**2 = 0?
-1, 0, 2
Let m(x) = 31328*x**2 + 31428*x + 1276. Let z(s) = -3481*s**2 - 3492*s - 137. Let g(k) = -3*m(k) - 28*z(k). Find r such that g(r) = 0.
-1, -2/871
Let x be 9/(-27)*(-3*1 + 11 + -8). Let r(m) be the third derivative of 29*m**2 + 0 + 1/8*m**4 + x*m + 1/20*m**5 - m**3. Factor r(o).
3*(o - 1)*(o + 2)
Let u = 137/570 + 181/3990. Factor -2/7*h**2 + 2/7*h + u*h**4 - 2/7*h**3 + 0.
2*h*(h - 1)**2*(h + 1)/7
Let w(x) be the second derivative of -1/3*x**4 + 0 - 1/20*x**5 + 40*x - x**2 - 5/6*x**3. Factor w(j).
-(j + 1)**2*(j + 2)
Let f(k) be the second derivative of 19*k**7/273 - 2*k**6/3 + 113*k**5/65 + 16*k**4/13 - 111*k**3/13 - 54*k**2/13 - 7*k + 40. Solve f(l) = 0.
-1, -3/19, 2, 3
Suppose 0 = 350*j + 30*j - 760. Determine u, given that -2/7*u**4 + 0*u - 4/7*u**3 + 0*u**j + 0 = 0.
-2, 0
Factor -1520*g**2 - 123227*g + 251676*g - 85*g**3 - 122914*g - 630.
-5*(g - 3)*(g + 21)*(17*g - 2)
Let v = -5668 + 5668. Let r(f) be the second derivative of 0*f**2 - 11*f - 3/40*f**6 + 0*f**3 - 1/12*f**4 + v + 3/20*f**5. Determine k, given that r(k) = 0.
0, 2/3
Let 31*z**2 - 192*z + 99*z**3 + 360 - 95*z**3 - 348*z + 504 + 41*z**2 = 0. Calculate z.
-24, 3
Let b be 258/390 + 12/(-26). Suppose 5*w - 7 = 2*n, -2*w - 2*w - n + 16 = 0. Factor b*q**w + 0*q + 0 - 1/5*q**2.
q**2*(q - 1)/5
Let g(a) be the third derivative of a**7/175 - a**6/150 - a**5/150 - 40*a**2 - 6. Find q, given that g(q) = 0.
-1/3, 0, 1
Let r(t) be the third derivative of t**6/24 + 8*t**5/3 + 275*t**4/8 + 195*t**3 + 2297*t**2. Determine y, given that r(y) = 0.
-26, -3
Suppose 216 = 110*w + 19*w - 57*w. Let p(t) be the first derivative of 22/3*t**2 + 1/3*t**4 - 8/3*t**3 - 8*t + w. What is s in p(s) = 0?
1, 2, 3
Factor -5*g**2 + 10*g - 588 + 192*g - 2*g**2 + g**2 + 4*g**2.
-2*(g - 98)*(g - 3)
Let a be (-3085 - -3114) + (17*2)/(-2). Factor -a*k + 2/3*k**2 + 54.
2*(k - 9)**2/3
Let f(m) = 19*m**5 + 6*m**4 + 11*m**3 + 49*m**2 + 3*m - 11. Let v(s) = 5*s**5 + 2*s**4 + 3*s**3 + 13*s**2 + s - 3. Let x(g) = -6*f(g) + 22*v(g). Solve x(h) = 0.
-1, 0, 1
Let d(m) = 5*m - 32. Let i be d(7). Suppose -5*g = 25, -3*z + 4 = i*g + 13. Let 0 - 2/3*s**4 + 2*s**3 + 2/3*s - z*s**2 = 0. Calculate s.
0, 1
Factor -168*h**3 - 852*h - 411*h**2 + 4*h**4 - 752 - 721*h + 65*h + 20*h - 497*h**2.
4*(h - 47)*(h + 1)*(h + 2)**2
Suppose -3*c - 4*k - k = -754, -k + 5 = 0. Factor c*q + 111*q**2 + 41 + 45 - 8 - 24 + 12*q**3.
3*(q + 3)*(q + 6)*(4*q + 1)
Let f(u) = -u**3 - 8*u**2 + 19*u + 16. Let l(r) = -3*r**2. Let y(c) = -f(c) - 3*l(c). Let z be y(-18). Let 4/15*j + 0 - 2/15*j**z = 0. Calculate j.
0, 2
Let x = 150 - 148. Factor -7*d**2 + 29*d**x - 882 - 84*d - 11*d**2 - 13*d**2.
-2*(d + 21)**2
Factor -137*v**2 + 1160 + 20*v - 3*v**4 - 354*v**2 - 71*v**2 - 305*v**3 - 2*v**4 - 308*v**2.
-5*(v - 1)*(v + 2)**2*(v + 58)
Let t be -12 - (140/(-280) + (-234)/20). Factor 7/5*v + 2 + t*v**2.
(v + 2)*(v + 5)/5
Let w(q) = -q**3 + 15*q**2 + 13*q + 50. Let v be w(16). What is k in -10*k - 7*k**2 + v*k**2 + 8*k - 5*k**3 - 2*k**2 = 0?
-1, -2/5, 0
Let l = 3 - 1. Suppose 4*i = -4*n - 710 + 702, -n + 4*i = -8. Factor 3/5*b**l - 3/5*b**4 + 0*b + n*b**3 + 0.
-3*b**2*(b - 1)*(b + 1)/5
Let i(g) be the second derivative of -g**5/30 - 7*g**4/4 + 46*g**3/3 - 117*g**2/2 - 3*g + 80. Let q(p) be the first derivative of i(p). Factor q(v).
-2*(v - 2)*(v + 23)
Let a(t) = t**4 + t**3 + t**2 - 3. Let c(o) = 4*o**4 - 64*o**3 - 184*o**2 - 184*o - 84. Let g(f) = -8*a(f) + c(f). Solve g(i) = 0 for