Let k(l) be the third derivative of -l**8/336 + l**7/70 + 97*l**6/120 - 299*l**5/60 + 25*l**4/2 - 50*l**3/3 + 266*l**2 + 18. Solve k(r) = 0.
-10, 1, 10
Let o be 698 + -654 - (-125)/(-3). Factor o*s + 2/3*s**2 - 4/3.
(s + 4)*(2*s - 1)/3
Let k(u) = 12*u**3 - 228*u**2 + 165*u - 84. Let n(t) = -3*t**3 + 59*t**2 - 41*t + 21. Let y(w) = 4*k(w) + 15*n(w). Factor y(d).
3*(d - 7)*(d - 1)**2
Let q(u) be the third derivative of 0*u - 1/60*u**5 - 118*u**2 + 0 - 3/4*u**4 + 0*u**3. Find g, given that q(g) = 0.
-18, 0
Find c, given that 2215/2*c**3 + 11505/4*c - 87025/2 + 1/4*c**5 + 7097*c**2 + 63/2*c**4 = 0.
-59, -5, 2
Factor -4/3*q**2 + 500 + 280/3*q.
-4*(q - 75)*(q + 5)/3
Let f be 0/(-5) + ((-58)/(-32) + -2)*(48 + -54). Factor -1 - f*z - 1/8*z**2.
-(z + 1)*(z + 8)/8
Suppose h - 14 = -0*o - o, 0 = -3*h - 12. Find x, given that -13*x**2 + 11333 - 336*x + 1146*x + 21472 + o*x**2 = 0.
-81
Factor -39 + y**3 + 332*y + 11*y**2 - 676*y + 315*y.
(y - 3)*(y + 1)*(y + 13)
Suppose 7 = 5*k - 18. Suppose -23*z - 10 = -56. Suppose -19 - 8 - 20 + 7 - k*t**z + 30*t = 0. Calculate t.
2, 4
Let q be (3/4*8/12)/((-99)/(-4158)). Let k(g) be the third derivative of 1/210*g**5 + 0 + q*g**2 + 0*g + 1/84*g**4 + 0*g**3. Suppose k(d) = 0. What is d?
-1, 0
Let w(b) = -4 + 10 + 0*b**2 - 107*b**3 + 108*b**3 + 4*b**2 + 5*b. Let g be w(-3). Let -48/5*h**3 - 18/5*h**4 - 32/5*h**2 + 0*h + g - 2/5*h**5 = 0. Calculate h.
-4, -1, 0
Let n = 439849/2 - 219923. Factor 104*a - 13/2*a**3 + n*a**4 - 32 - 22*a**2.
(a - 4)**2*(a + 4)*(3*a - 1)/2
Let q = -88/5 - -802/45. Suppose 4*i = 2*i + 9*i. What is h in -q*h**2 + i + 4/9*h = 0?
0, 2
Solve -70756/3 + 532/3*f - 1/3*f**2 = 0.
266
Let c = -221519 + 221521. Let -c*k - 6*k**2 - 3*k**4 - 13/2*k**3 + 0 - 1/2*k**5 = 0. What is k?
-2, -1, 0
Suppose 1056*f = 1131*f - 150. Find b such that 3/4*b**f - 1/4*b**3 - 1/2*b + 0 = 0.
0, 1, 2
Let d be -207 - (-3 - -5)*-2. Let m be d/(-665) + 12/(-114). Factor 2/5*s + m + 1/5*s**2.
(s + 1)**2/5
Suppose 3*w + w - 140 = 0. Suppose -3*p + w + 4 = 0. Solve -2*x**2 + 25*x - p*x - 7*x - 2 = 0.
1/2, 2
Let i(v) be the third derivative of v**8/224 + 47*v**7/112 + 33*v**6/64 - 13*v**5/4 + 29*v**4/16 - 273*v**2 - 3. Determine f, given that i(f) = 0.
-58, -2, 0, 1/4, 1
Let h(w) be the second derivative of w**8/672 + w**7/420 - w**6/60 - w**5/30 + 21*w**2/2 + 8*w + 3. Let s(k) be the first derivative of h(k). Factor s(j).
j**2*(j - 2)*(j + 1)*(j + 2)/2
Let b(a) be the second derivative of a**5/90 + 11*a**4/108 + 2*a**3/9 - 43*a**2/2 - 32*a. Let o(k) be the first derivative of b(k). Factor o(d).
2*(d + 3)*(3*d + 2)/9
Let i(a) = -28*a + 420. Let t be i(15). Let y(s) be the third derivative of 0*s**3 + 0*s + 0 + t*s**4 - 14*s**2 - 1/300*s**5. Solve y(w) = 0 for w.
0
Let 6*j**2 + 140/3*j**4 - 8 - 560/3*j + 142*j**3 = 0. Calculate j.
-2, -3/70, 1
Factor 0 - 4/5*p**2 - 6/5*p + 2/5*p**3.
2*p*(p - 3)*(p + 1)/5
Let x(t) be the first derivative of t**8/336 - t**7/21 - 11*t**6/120 - t**2 - 2*t + 10. Let y(p) be the second derivative of x(p). Factor y(j).
j**3*(j - 11)*(j + 1)
Let s be (-812)/34 - (-10)/(-85)*1. Let y be (s/70)/((-4)/56) - 2. Suppose -8/5*h**4 + 2/5*h - 4/5*h**2 - y*h**3 + 0 = 0. Calculate h.
-1, 0, 1/4
Let 15*s**2 - 32 + 26*s - 10*s**2 - 13*s**2 + 69*s - 27*s = 0. What is s?
1/2, 8
Let h be (-8)/10*((-30)/(-4))/(-3). Let d = -1/16773 - -33553/117411. Factor -d*g - 3/7*g**3 - g**h + 0.
-g*(g + 2)*(3*g + 1)/7
Suppose 1/3*u**2 + 4/3 + 5/3*u = 0. Calculate u.
-4, -1
Let x(v) be the first derivative of 3/4*v**4 + 0*v**2 + 3/5*v**5 + 1/3*v**3 + 1/6*v**6 + 0*v + 51. Factor x(i).
i**2*(i + 1)**3
Let s = 370 - 366. Determine k so that 4*k**4 - 3*k - 2*k**s - 3*k + 7*k**4 + 9*k**2 + 24*k**3 = 0.
-2, -1, 0, 1/3
Suppose -3*c - 62 = -4*x, -2*c - 40 = 182*x - 184*x. Let v be 6*(-2)/(-15)*2. Find q, given that 4/5*q**x - 2/5*q**3 + v + 14/5*q = 0.
-1, 4
Let a(u) be the first derivative of -u**3/6 - 15*u**2/2 - 29*u/2 + 175. Factor a(i).
-(i + 1)*(i + 29)/2
Suppose 4*b - 30 = -9*i + 4*i, -29 = -2*i - 5*b. Let m = 11 + -7. Factor -18*t**i - 87*t**2 + 125*t**3 - 53*t**4 - 76*t + 91*t + 8*t**m + 10.
-5*(t - 1)**3*(9*t + 2)
Let u(t) be the first derivative of -t**4/20 + 91*t**3/3 - 227*t**2/5 + 1976. Solve u(d) = 0 for d.
0, 1, 454
Let q be (3*(-385)/(-33))/7. Let k(v) be the first derivative of -57/5*v**q - v**3 - 7/2*v**6 - 45/4*v**4 + 8 + 3*v**2 + 0*v. Suppose k(a) = 0. What is a?
-1, 0, 2/7
Let t(l) be the third derivative of l**5/12 - 55*l**4/8 - 820*l**3/3 + 7377*l**2. Factor t(y).
5*(y - 41)*(y + 8)
Let s(a) be the first derivative of -34/9*a**3 - 128/3*a - 1/6*a**4 - 12 - 80/3*a**2. Factor s(k).
-2*(k + 1)*(k + 8)**2/3
Let u(s) = -4*s**3 + 311 - 4*s + 2*s**4 - 12*s**2 - 4*s**3 - 316. Let x(t) = -t**4 + 7*t**3 + 11*t**2 + 5*t + 4. Let k(q) = 4*u(q) + 6*x(q). Factor k(f).
2*(f + 1)**3*(f + 2)
Suppose 2*d + 2*d = 8. Suppose 14*i - 29*i + 150 = 0. Factor d*c**4 + 14*c + i*c**3 + 20*c**2 - 22*c**2 + 20*c**2 + 4.
2*(c + 1)**3*(c + 2)
Let q(x) = 3662*x - 54927. Let i be q(15). Let 1/3*w - 2/3*w**2 + 0 + 1/3*w**i = 0. What is w?
0, 1
Factor -39*f - 12*f**3 - 22*f**4 + 41*f**2 + 59*f**2 + 10*f**4 + 95*f + 44*f**3.
-4*f*(f + 1)**2*(3*f - 14)
Let j(q) be the first derivative of q**5/10 + 5*q**4/4 + 37*q**3/6 + 15*q**2 + 18*q - 1324. Suppose j(w) = 0. Calculate w.
-3, -2
Let w(o) be the first derivative of -5*o**3/6 + 495*o**2 - 98010*o - 1266. Factor w(x).
-5*(x - 198)**2/2
Let n be ((-33)/22)/(1/22). Let o be (-40)/n + 62/6 + -11. Let 4/11 - o*x**2 - 10/11*x = 0. Calculate x.
-2, 1/3
Suppose -210 = -34*h - 8*h. Solve 27*b**2 - 3*b**h - 45*b**3 + 21*b**4 - 925 + 925 = 0.
0, 1, 3
Let g(y) be the third derivative of -1/2*y**4 + 22*y**2 - 5/3*y**3 - 1/30*y**5 + 0 + 0*y. Factor g(z).
-2*(z + 1)*(z + 5)
Let 69/4*x + 15*x**4 - 93/2*x**2 + 3/4*x**5 - 18*x**3 + 63/2 = 0. What is x?
-21, -1, 1, 2
Let h(m) = -m**2 + 12*m - 27. Let d be h(9). Solve -c + 4*c**3 + d*c**3 + 6*c + 10*c**2 + c**3 = 0 for c.
-1, 0
Let x be ((-98)/35)/(4 + (-105)/14). Factor -x + 4/5*b - 1/5*b**2.
-(b - 2)**2/5
Let u = 5130 - 5126. Let h = 141 - 136. Factor 1/5*r - 2/5*r**3 + 0*r**u + 1/5*r**h + 0*r**2 + 0.
r*(r - 1)**2*(r + 1)**2/5
Let 1/9*a**2 + 55/3*a - 334/9 = 0. What is a?
-167, 2
Factor -4/5*q**2 + 0 - 1/5*q**3 + 12/5*q.
-q*(q - 2)*(q + 6)/5
Let t(k) = 533*k - 4794. Let w be t(9). Factor -108/11*u**2 + 72/11*u + 54/11*u**w - 16/11.
2*(3*u - 2)**3/11
Factor -3326/9*u**2 + 2/9*u**3 + 1381120/9*u + 1384448/9.
2*(u - 832)**2*(u + 1)/9
Let a = 3245/6394 + -24/3197. Suppose 5/2*h**2 - a*h**3 - 4*h + 2 = 0. Calculate h.
1, 2
Suppose 4*u - 5*z - 23 = -2, 2*z = -4*u + 14. Let k(n) be the first derivative of -1/30*n**u - 3/5*n**2 + 7 + 8/15*n + 4/15*n**3. Factor k(q).
-2*(q - 4)*(q - 1)**2/15
Let r be (-5 - -41)/(-3)*(-1)/3. Suppose -5*c + 3*d + 7 = 0, -d = c + d - r. Find a, given that a**5 - 15*a**3 - 5*a**c - 6*a**5 - 593*a**4 + 578*a**4 = 0.
-1, 0
Let w(m) be the second derivative of -m**5/15 + 19*m**4/9 + 290*m**3/9 + 250*m**2/3 + 1102*m. Factor w(b).
-4*(b - 25)*(b + 1)*(b + 5)/3
Let s = 282269/3 + -94087. Factor -1/3*w**2 + s*w - 5.
-(w - 5)*(w - 3)/3
Let y(s) = -132*s - 3 + 30*s**2 + 16 + 48. Let f = -15 - -9. Let q(x) = 5*x**2 - 22*x + 10. Let b(p) = f*y(p) + 39*q(p). Determine h, given that b(h) = 0.
2/5, 4
Let j(l) be the first derivative of l**5 + 85*l**4/4 + 245*l**3/3 - 285*l**2/2 - 1170*l - 1902. Factor j(o).
5*(o - 2)*(o + 3)**2*(o + 13)
Let n = 79 - 64. Suppose 13*x = n*x - 8. Determine y so that 4 - x*y - 40*y**2 - 2*y + 0*y**2 = 0.
-2/5, 1/4
Let p(z) be the first derivative of z**4/4 - 14*z**3/3 - 51*z**2/2 - 848. Factor p(t).
t*(t - 17)*(t + 3)
Let h be (-74)/(-10) - (9 - (-55)/((-4125)/720)). Let 32*u + h*u**2 + 2/3*u**3 + 128/3 = 0. What is u?
-4
Let c(n) be the third derivative of -7/24*n**4 - 27*n - 5/12*n**3 + 0 - 3*n**2 - 3/40*n**5. Let c(u) = 0. What is u?
-1, -5/9
Let q be (14/(-476))/(44/(-4488)). What is i in 10/3*i**2 + 2/3*i**4 + 0 - 7/6*i + 1/6*i**5 - q*i**3 = 0?
-7, 0, 1
Let g = -856 - -878. Let l be g/6 + (-8)/(6 - 30). Determine i, given that -50/3*i**5 - 16*i**3 - 30*i**l - 8/3*i**2 + 0*i + 0 = 0.
-1, -2/5, 0
Let v(r) = -30*r**2 - 111*r - 102. Let w(j) = -5*j + 49. Let h be w(14). Let s(y) = 3*y**2 + 11*y + 10. Let c(z) = h*s(z) - 2*v(z). Solve