 u be -87*6/(-216) - (-5)/20. Factor 1/3*p**4 + 4/3*p - u - 5/3*p**3 + 2*p**2.
(p - 2)**3*(p + 1)/3
Let y(w) = -26*w - 73. Let s be y(-3). Determine b so that -4*b**5 - 460*b - 4*b**3 + 8*b**s + 460*b = 0.
-1, 0, 1
Suppose -1521 + 4815 = 1647*y. Solve -80/9*j - 46/9*j**3 + 94/9*j**y + 8/9*j**4 + 8/3 = 0.
3/4, 1, 2
Let i = 67 - 85. Let o(g) = -g**2 - 21*g - 26. Let u be o(i). Find v, given that -17*v**2 - 10*v**2 + v + u*v**2 - 2 = 0.
-2, 1
Let p(u) be the first derivative of -125*u**6/51 - 660*u**5/17 - 2105*u**4/17 + 184*u**3 + 423*u**2/17 - 1620*u/17 + 263. Suppose p(l) = 0. What is l?
-9, -5, -2/5, 3/5
Let v be 196/(-63) - (-1)/9. Let t be v*3/9*-12. Factor 4 - 10 - 8*o**2 - 4*o**2 + t*o**3 - 21*o.
3*(o - 2)*(2*o + 1)**2
Let w(y) be the third derivative of -y**8/504 - 8*y**7/315 + y**6/18 + 4*y**5/45 - y**4/4 + 714*y**2 - 1. Let w(a) = 0. What is a?
-9, -1, 0, 1
Let q be (26/130 - 46/5)*-5. Factor 16 + 382*u**3 + q*u**2 - 716*u**3 - 4 + 355*u**3 + 39*u + 3*u**4.
3*(u + 1)**3*(u + 4)
Let m(z) = -z**2 - 15*z - 37. Let g be m(-11). Let b = 138 + -134. Suppose 0*l**4 - 7*l**3 + 3*l**3 + g*l**4 + l**4 - b*l**5 = 0. What is l?
0, 1
Let x(g) = g**2 - 48*g - 717. Let n be x(60). Let a be ((3 - 3)*-1)/1. Factor 0*j**n - 4/9*j + 2/9*j**4 - 2/3*j**2 + a.
2*j*(j - 2)*(j + 1)**2/9
Let x be (4/6 - (-85)/(-51))*-2. Factor -5*c**x - 5*c**2 + 4*c**4 - 2*c**2 + 4*c**2 + 6*c**3 - 8*c - 2*c**5.
-2*c*(c - 2)**2*(c + 1)**2
Suppose 2*n - 7*n = -5, 47 = -5*t - 3*n. Let y be (-2 - 2)*5/t + 3. Factor -1/3*i**y + 1/3*i**2 + 0 + i**4 - i**3 + 0*i.
-i**2*(i - 1)**3/3
Factor -685353 + 398057 + 2*i**2 - 3*i**2 + 1072*i.
-(i - 536)**2
Let y(o) be the first derivative of -5*o**8/336 + 3*o**7/35 - o**6/10 - 2*o**5/15 - o**2/2 - 41*o - 7. Let u(s) be the second derivative of y(s). Factor u(h).
-h**2*(h - 2)**2*(5*h + 2)
Let m(d) be the second derivative of d**6/72 - d**5/15 - d**4/6 + d**3/6 - 7*d**2/2 - 14*d. Let s(f) be the second derivative of m(f). Factor s(l).
(l - 2)*(5*l + 2)
Let s(a) be the first derivative of -a**3/4 + 1227*a**2/4 + 1230*a + 9314. Factor s(z).
-3*(z - 820)*(z + 2)/4
Factor 36 + 28/5*f**3 - 148/5*f**2 + 132/5*f.
4*(f - 3)**2*(7*f + 5)/5
Suppose -19845 + 59661*s + 101118/5*s**3 - 633/5*s**4 - 299566/5*s**2 + 1/5*s**5 = 0. Calculate s.
1, 315
Find t, given that 19*t**4 - 792*t**3 + 285*t**2 - 5*t**4 + 718*t + 413*t**2 + 96 + 2*t**4 + 439*t**2 = 0.
-1/4, 2, 48
What is h in 3113725358/9 + 2318/3*h**2 - 2/9*h**3 - 2686562/3*h = 0?
1159
Let z(x) be the first derivative of -x**3/12 + 599*x**2/4 - 358801*x/4 - 280. Factor z(n).
-(n - 599)**2/4
Let a(r) be the second derivative of -5*r**7/6 + 5*r**6 + 26*r**5 - 200*r**4 + 320*r**3/3 + 7*r + 16. Suppose a(u) = 0. Calculate u.
-4, 0, 2/7, 4
Let s be (-412)/(-1030)*((-54)/21 + 4). Factor -8/7*w**2 + 4/7*w**4 + 0*w**3 + s + 0*w.
4*(w - 1)**2*(w + 1)**2/7
Let p(x) be the third derivative of 0*x**4 - 4/105*x**7 + 0*x + 1/84*x**8 + 210*x**2 - 1/6*x**6 + 2/5*x**5 + 0*x**3 + 0. Find k such that p(k) = 0.
-2, 0, 1, 3
Let a(t) be the first derivative of 4*t**3/15 + 18*t**2/5 - 464*t + 716. Factor a(x).
4*(x - 20)*(x + 29)/5
Factor 158/9*s**4 + 602/9*s + 2/9*s**5 + 68*s**3 + 50/3 + 908/9*s**2.
2*(s + 1)**4*(s + 75)/9
Let d be (-5 + 4)/((-6)/5316). Let j = d + -2654/3. Factor -10/3*b - 2/3*b**3 + 8/3*b**2 + j.
-2*(b - 2)*(b - 1)**2/3
Suppose -3*r = 3*r + 144. Let s = -20 - r. Factor -3*l**2 + 12*l - l**2 - s*l - 4*l**3.
-4*l*(l - 1)*(l + 2)
Let i(y) = 114*y**2 - 64*y + 392. Let z(j) = 71*j**2 - 43*j + 261. Let x(r) = -5*i(r) + 8*z(r). Suppose x(h) = 0. What is h?
-16, 4
Determine u so that 51 - 28 - 2*u**3 - 210*u + 25 + 108*u**2 + 56 = 0.
1, 52
Let a(r) = -2*r - 12. Let z be a(-3). Let g(u) = -4*u - 14. Let k be g(z). Find y, given that 6*y**3 - k*y + 17*y + 4*y**2 - 9*y = 0.
-1, 0, 1/3
Let m(b) = -b**2 - 7*b + 146. Let l be m(9). Factor 2*g**2 - 21 + 4*g**2 + 60 + 80*g + 36 - g**l.
5*(g + 1)*(g + 15)
Solve 1/5*w**3 - 8/5*w + 0 + 2/5*w**2 = 0.
-4, 0, 2
Let q(s) = -420*s + 3552. Let m be q(8). Suppose m - 24*c + 3/4*c**2 = 0. What is c?
16
Let u(v) be the first derivative of 102 + 5/21*v**2 - 2/63*v**3 + 4/3*v. Factor u(q).
-2*(q - 7)*(q + 2)/21
Let 24*p**2 + 3/4*p**3 + 51/2 - 201/4*p = 0. Calculate p.
-34, 1
Suppose -v + 5*v = 264. Factor 25*w**4 + 145*w + 24*w**2 - v*w**3 + 201*w**2 + 30 + 201*w**3.
5*(w + 1)**2*(w + 3)*(5*w + 2)
Let z be 790/1422*99/110. Let -3*d - z*d**2 + 8 = 0. Calculate d.
-8, 2
Factor 622*f**2 + 593*f**2 - 181*f + f**3 - 1240*f**2 - 155.
(f - 31)*(f + 1)*(f + 5)
Let l(s) be the third derivative of -s**8/4620 + s**7/924 - s**6/990 + 68*s**3/3 - 3*s**2 - 29. Let r(f) be the first derivative of l(f). Factor r(w).
-2*w**2*(w - 2)*(2*w - 1)/11
Let p(g) = 8*g**3 + 2*g**2 + 14*g. Let u(b) = b**3 - 3*b**2 + 2*b. Let t(h) = 3*p(h) - 21*u(h). Suppose t(x) = 0. What is x?
-23, 0
Suppose -75*l + 3*p = -72*l - 3, 2*l - 2 = -2*p. Suppose 0*k**3 - 1/3*k**4 + l - 8/3*k + 2*k**2 = 0. Calculate k.
-3, 1
Let f(q) = -q**3 - 7*q**2 - 6*q + 2. Let x be (-40)/6 + 3 + 28/(-12). Let h be f(x). Factor h*t**4 + t**4 - 12*t**2 + 8*t**3 - 5*t**3 - 12*t.
3*t*(t - 2)*(t + 1)*(t + 2)
Let j = 3/185402 + 185393/556206. Determine u, given that -u**2 + u**4 + 2/3*u - j*u**5 - 1/3*u**3 + 0 = 0.
-1, 0, 1, 2
Let p(r) be the first derivative of -5*r**4/4 - 185*r**3 + 280*r**2 - 175. Factor p(t).
-5*t*(t - 1)*(t + 112)
Factor -488*j + 28*j**2 + 14884/7.
4*(7*j - 61)**2/7
Let o(m) be the second derivative of -70*m + 0 + 0*m**3 + 0*m**2 - 1/15*m**5 - 7/225*m**6 - 1/30*m**4. Factor o(g).
-2*g**2*(g + 1)*(7*g + 3)/15
Let w = 163/5526 - -8/307. Let q(v) be the second derivative of v + w*v**3 + 1/60*v**5 - 1/18*v**4 + 0 + 0*v**2. Factor q(b).
b*(b - 1)**2/3
Factor -5216*k**3 + 5212*k**3 - 8*k**2 - 26*k**2 + 10*k**2.
-4*k**2*(k + 6)
Let g(r) be the first derivative of -16*r**2 + 0*r + 120 + 4*r**4 - 40/3*r**3 + 6/5*r**5. Factor g(i).
2*i*(i - 2)*(i + 4)*(3*i + 2)
Let f be -8 + (-16)/(-4) - -32. Determine x so that -40 + 377*x**2 - f*x - 765*x**2 + 384*x**2 = 0.
-5, -2
Let t(g) = -g**3 + 13*g**2 + 33*g - 45. Let m be t(15). Suppose -2*f - 9*y = -8*y + 3, -2*f + 3*y + 9 = m. Factor 0*p - 2/11*p**4 + 4/11*p**3 + f - 2/11*p**2.
-2*p**2*(p - 1)**2/11
Let q(z) be the first derivative of 4*z**5/5 + 19*z**4 + 152*z**3 + 512*z**2 + 640*z + 1733. Factor q(u).
4*(u + 1)*(u + 4)**2*(u + 10)
Let n = 58 - 94. Let l be (n/6)/6 + 26. Factor 4 + l*m**2 + 7*m**4 + 328*m + m**5 + 9*m**3 + 10*m**3 - 312*m.
(m + 1)**3*(m + 2)**2
Suppose -4023*m + 3832*m + 382 = 0. Factor 8/5*z**m + 2/5*z**4 + 8/5*z**3 + 0 + 0*z.
2*z**2*(z + 2)**2/5
Suppose -26447 = 54*d + 39433. Let v = -6094/5 - d. Factor -v*m**3 + 24/5*m + 2/5*m**2 - 8/5.
-2*(m - 2)*(m + 2)*(3*m - 1)/5
Let u(j) be the first derivative of -5*j**6/12 - 112*j**5/5 - 3525*j**4/8 - 10913*j**3/3 - 9163*j**2 + 4116*j - 2723. Find f such that u(f) = 0.
-14, -3, 1/5
Let p(f) = -5*f**5 - 13*f**4 - 45*f**3 + 101*f**2 - 38*f. Let d(q) = 4*q**5 + 12*q**4 + 44*q**3 - 100*q**2 + 40*q. Let z(u) = 6*d(u) + 5*p(u). Factor z(l).
-l*(l - 10)*(l - 1)**2*(l + 5)
Suppose 38*v + 2*g = 36*v + 12, -v - 5*g = -22. Let c(u) be the second derivative of 1/5*u**5 + v*u**2 - 6*u - 1/30*u**6 - 2/3*u**3 + 0 - 1/4*u**4. Factor c(z).
-(z - 2)**2*(z - 1)*(z + 1)
Let w = 112810483/4 - 1432580311733/50796. Let u = 1/747 + w. Factor -2/17 + 4/17*m**2 - u*m**3 - 2/17*m**4 + 2/17*m + 2/17*m**5.
2*(m - 1)**3*(m + 1)**2/17
Let x = 183 + -191. Let g(u) = u**2 + 6*u - 14. Let o be g(x). Suppose -2/3*i + 1/3*i**o + 1/3 = 0. What is i?
1
Factor 1/2*i**4 - 5*i**3 - 3/2*i**2 + 70*i + 98.
(i - 7)**2*(i + 2)**2/2
Let m = 274 - 256. Let j be (-14 + m)*(2 - 1). Suppose 1/3*u**5 + 0 - 2/3*u**2 + 0*u + 2/3*u**j - 1/3*u**3 = 0. What is u?
-2, -1, 0, 1
Let o(z) be the second derivative of 0 + 1/120*z**6 - 1/15*z**5 + 0*z**3 + z**2 - 5/24*z**4 + 30*z. Let v(y) be the first derivative of o(y). Factor v(q).
q*(q - 5)*(q + 1)
Let y(r) be the first derivative of 4*r**3/15 - 22*r**2/5 - 144*r - 1198. Find t such that y(t) = 0.
-9, 20
Factor 5*v**4 + 119*v**3 - 60*v**2 + 9920*v - 2200 + 7320 - 429*v**3 + 4545*v**2.
5*(v - 32)**2*(v + 1)**2
Suppose -5*i - a = -6 - 11, -5*i + 3*a + 9 = 0. Let 268*k**3 + 52 - 1996*k**i + 108*k**4 - 544*k + 1656*k**2 + 8 = 0. Calculate k.
1/3