l) = 5*l**3 - 22*l**2 + 43*l - 26. Suppose -18 = -12*x + 6*x. Let q(w) = x*n(w) - 7*o(w). Factor q(d).
(d - 1)**2*(d + 13)
Let t = 11704 + -11704. Let p(b) be the third derivative of 0 - 44*b**2 + 5/24*b**4 - 1/12*b**5 + t*b + 5/3*b**3. Find x such that p(x) = 0.
-1, 2
Let i(c) be the third derivative of -1/7*c**4 - 1/490*c**7 + 0 + 3/280*c**6 + 0*c**3 + 75*c**2 + 3/70*c**5 + 0*c. Factor i(m).
-3*m*(m - 4)*(m - 1)*(m + 2)/7
Let x(v) be the first derivative of -28*v**3/3 + 528*v**2 + 304*v + 714. Factor x(h).
-4*(h - 38)*(7*h + 2)
Let t(v) be the first derivative of -v**7/1400 + 49*v**6/600 - 78*v**5/25 + 72*v**4/5 + 65*v**3/3 - 81. Let d(l) be the third derivative of t(l). Factor d(z).
-3*(z - 24)**2*(z - 1)/5
Let q(i) = 5*i**4 - 2*i**3 + 5*i**2 + 6*i + 6. Let v(l) = -4*l**4 - 6*l**2 - 5*l - 5. Let a(u) = -5*q(u) - 6*v(u). Factor a(d).
-d**2*(d - 11)*(d + 1)
Let t(h) = -h**2 + 4*h. Let x be t(4). Factor 45*b**2 + 5 + 35*b + 10*b**4 - 5*b**4 + x*b + 25*b**3 + 5.
5*(b + 1)**3*(b + 2)
Factor 16/7 - 2/7*i**4 + 6*i**2 - 46/7*i - 10/7*i**3.
-2*(i - 1)**3*(i + 8)/7
Factor -760/7 + 58/7*m - 1/7*m**2.
-(m - 38)*(m - 20)/7
Let d be 5/((-25)/682) + 8/20. Let z = -136 - d. Factor -1/3*c**3 + 0*c - 1/3*c**2 + z.
-c**2*(c + 1)/3
Factor 11/2*j - 1/2*j**5 - 5*j**3 + 5/2 + j**2 - 7/2*j**4.
-(j - 1)*(j + 1)**3*(j + 5)/2
Let y(u) = 28*u + 390. Let x be y(-14). Let w be (1 - x/(-8))*(-1120)/(-4200). Factor a + 6/5 + w*a**2.
(a + 2)*(a + 3)/5
Let j(s) = 84 - 10*s + s**2 - 7*s - 97. Let d be j(18). Find g, given that -g**d - 6*g**2 + 3*g**3 + 33*g**4 + 0*g - 36*g**4 + 17*g**2 + 6*g = 0.
-3, -1, 0, 2
Let l(x) be the second derivative of -x**4/42 - 8*x**3/7 - 44*x**2/7 - 6*x - 105. Suppose l(w) = 0. What is w?
-22, -2
Let b(g) be the second derivative of 1/12*g**4 - 3*g - 1/126*g**7 - 5 + 11/60*g**5 - 1/30*g**6 + 0*g**2 - 5/9*g**3. Determine i so that b(i) = 0.
-5, -1, 0, 1, 2
Let o be 96/18*(-21)/(-2). Let 4 - 27*w**5 + 53*w**3 - 31*w**2 - 33*w**4 + o*w**5 - 22*w**5 = 0. Calculate w.
-2/7, 1, 2
Let l(u) = -6*u**2 - 12*u + 42. Let o(y) = 422*y - 14*y**2 + 84 + 3*y**2 - 217*y - 228*y. Let z(b) = 7*l(b) - 4*o(b). Suppose z(f) = 0. Calculate f.
-7, 3
Let s(y) = y**2 + 32*y + 143. Let r be s(-27). Factor 2478*j + 8 - 440*j**2 + 1349*j + 5*j**3 - r + 5853*j.
5*j*(j - 44)**2
Let b(l) = l**2 - l + 3. Let s(u) = 16*u**2 - 2103*u + 283. Let z(p) = -b(p) + s(p). Determine m so that z(m) = 0.
2/15, 140
Suppose -4*r = 3*w + 15 - 376, 25 = -5*w. Factor 25 + 24*g + r - 4 - 7 + 11*g**2 - 15*g**2.
-4*(g - 9)*(g + 3)
Let p = -256 + 271. Let q be ((-2)/(-2))/(p*(-3)/(-18)). Factor 3/5*v - 1/5*v**3 - q + 0*v**2.
-(v - 1)**2*(v + 2)/5
Let t(w) be the first derivative of 0*w + 0*w**2 - 1/10*w**4 + 140 + 0*w**5 + 0*w**3 + 1/15*w**6. Factor t(u).
2*u**3*(u - 1)*(u + 1)/5
Let t(w) be the second derivative of 2/3*w**3 + 1/10*w**5 + 0*w**2 - 5/6*w**4 + 1/3*w**6 - 1/7*w**7 - 96*w + 2. Let t(n) = 0. What is n?
-1, 0, 2/3, 1
Let k = -135349 - -135352. Suppose -4/5*f**k + 0 + 12/5*f**2 + 0*f = 0. Calculate f.
0, 3
Suppose -3/2*d**4 + 108*d**2 + 405*d + 891/2 + 3*d**3 = 0. What is d?
-3, 11
Factor -269/2*j + 72361/2 + 1/8*j**2.
(j - 538)**2/8
Let o(x) = -182*x**2 - 550*x - 116. Let c(b) = -61*b**2 - 183*b - 39. Let a(t) = -8*c(t) + 3*o(t). Let a(l) = 0. What is l?
-3, -6/29
Let c = -586234/3 + 195418. Factor -2/3*q**2 - 6 - c*q.
-2*(q + 1)*(q + 9)/3
Let w = 256 - 253. Factor -15*h**3 + 297*h + 17*h**w - 351*h + 108.
2*(h - 3)**2*(h + 6)
Let f(j) = 246 - 18 - 23*j - 51 - 12*j. Let p be f(5). Let 4*m + 10 + 2/5*m**p = 0. What is m?
-5
Let s(z) be the third derivative of -17*z**5/20 - 161*z**4/4 + 19*z**3/2 - 13*z**2 - 89. Factor s(w).
-3*(w + 19)*(17*w - 1)
Let i = -2/160275 + -128348218/160275. Let u = i + 804. Solve 4/5*f + u*f**2 + 0 - 7/5*f**5 + 3/5*f**3 - 16/5*f**4 = 0.
-2, -1, -2/7, 0, 1
Let z(b) = 17*b - 232. Let x(y) = -16*y + 232. Let q(s) = 5*x(s) + 4*z(s). Let w be q(19). Factor -12*n**3 + 0 + 32*n**2 - 64/3*n + 4/3*n**w.
4*n*(n - 4)**2*(n - 1)/3
Let z = 771 - 1286. Let m = -515 - z. Determine s so that 1/10*s**2 + m*s + 0 = 0.
0
What is i in -125*i**3 + 687 + 126*i**3 + 1375*i + 814*i**2 - 125*i**2 = 0?
-687, -1
Suppose -41 = 28*d - 237. Let x(q) be the second derivative of 0*q**4 + 2/63*q**7 + 0*q**3 + 0*q**6 + 0*q**2 + 0 + d*q - 1/15*q**5. Find k, given that x(k) = 0.
-1, 0, 1
Let l(i) = 11*i**3 + 2139*i**2 + 1232*i - 828. Let p(c) = 21*c**3 + 4293*c**2 + 2463*c - 1656. Let j(x) = 9*l(x) - 4*p(x). Factor j(q).
3*(q + 1)*(q + 138)*(5*q - 2)
Let c(n) be the first derivative of -5/4*n**4 + 141 - 315*n - 5/3*n**3 + 165/2*n**2. Find t, given that c(t) = 0.
-7, 3
Let s = 99 + -96. Suppose 0 = -21*m + 53*m. Factor 2*t**2 + m + 2/3*t**s + 4/3*t.
2*t*(t + 1)*(t + 2)/3
Let d(p) be the first derivative of p**3/6 - 549*p**2/2 + 301401*p/2 - 1214. Find h such that d(h) = 0.
549
Solve 1052/3*l**2 - 2792/9*l - 400/9 - 862/9*l**3 + 16/9*l**4 = 0.
-1/8, 2, 50
Factor 240*d + 120/7*d**3 - 1012/7*d**2 - 112 - 4/7*d**4.
-4*(d - 14)**2*(d - 1)**2/7
Factor -39*f**3 + 250 + 37*f**3 + 13*f**2 - 150*f + 17*f**2.
-2*(f - 5)**3
Let d = -317 + 321. Suppose 6*i - 2*i + 20 = 4*q, d*q + i = -5. What is x in 3/2*x + q + 1/2*x**2 = 0?
-3, 0
Find j such that -81/7*j + 3/7*j**2 + 78/7 = 0.
1, 26
Determine i, given that -327680 - 53*i**2 - 2560*i + 20*i**2 - 2*i**2 + 16*i**2 + 14*i**2 = 0.
-256
Let q = -279/2 - -3165/22. Suppose -400*x - 40 = -351*x + 49 - 89. Let 0 + q*l**3 + 24/11*l**2 + 30/11*l**4 + x*l + 6/11*l**5 = 0. Calculate l.
-2, -1, 0
Let m(z) be the first derivative of 1/5*z**3 + 1/60*z**4 + 9/10*z**2 + 32*z + 30. Let k(y) be the first derivative of m(y). Solve k(i) = 0 for i.
-3
Let o(t) be the first derivative of -t**4/20 - 8*t**3/15 + 191*t**2/10 - 342*t/5 + 7909. Factor o(k).
-(k - 9)*(k - 2)*(k + 19)/5
Suppose 0 = -4*r - 5*u - 48, 46*r = 2*u + 110 + 52. Let 8/7*w**2 + 4/7*w**r - 8/7 - 4/7*w = 0. What is w?
-2, -1, 1
Let k(g) be the third derivative of 89401*g**5/300 - 299*g**4/10 + 6*g**3/5 + 146*g**2 - g. Factor k(m).
(299*m - 6)**2/5
Let m = 2010 + -1295. Let 6*l**3 + 5*l**5 + 12*l**3 + 816 + 280*l + 55*l**4 - m*l**2 + 13*l**3 + 164 + 4*l**3 = 0. Calculate l.
-7, -1, 2
Let y(j) be the third derivative of -20*j**7/819 - j**6/117 - j**5/780 + 17*j**4/8 + 5*j**2 - j. Let x(d) be the second derivative of y(d). Factor x(f).
-2*(20*f + 1)**2/13
Let f(y) be the second derivative of -3*y**5/140 - 10*y**4/7 - 437*y**3/14 - 1083*y**2/7 - 888*y. Determine h, given that f(h) = 0.
-19, -2
Let f(i) = 3*i + 72. Let g be f(-23). Find r, given that -20 + 7*r**2 - 70*r**3 - 2*r**2 + 19*r**3 - 14*r**g + 65*r + 15*r**4 = 0.
-1, 1/3, 1, 4
Let -80*s - 29*s**2 + 12 + 17*s**2 + 4*s**3 + 76*s = 0. Calculate s.
-1, 1, 3
What is v in 47000 + 8124*v**2 + 416*v**3 + 103528 - 54354*v - 40622*v + 884*v**2 + 4*v**4 = 0?
-56, 2, 6
Let w(l) be the second derivative of -l**4/16 - 721*l**3/4 - 1559523*l**2/8 + 1618*l. Factor w(u).
-3*(u + 721)**2/4
Suppose 415 = p + q, -5*p + 0*p - 2*q = -2084. Suppose 773 + p = 3*n. Solve 12*v**2 - n*v**4 + 409*v**4 - 3*v**5 - 13*v**3 - 5*v**3 - 3*v = 0 for v.
0, 1
Let i = 131205 - 524819/4. Factor 17*x - 289 - i*x**2.
-(x - 34)**2/4
Let g(j) be the second derivative of j**4/36 - 202*j**3/9 + 134*j**2 - 128*j. Find y, given that g(y) = 0.
2, 402
Let h(z) = z**2 + 205 - 101 - 103. Let k(i) = -6*i**2 - 17*i + 1. Let p(b) = -18*h(b) - 2*k(b). Solve p(j) = 0 for j.
2/3, 5
Let l be (-60)/(-5)*(4/24 + 7/21). Let w(x) be the first derivative of -x**5 - 5/3*x**l + 5/4*x**4 + 0*x + 0*x**3 + 0*x**2 + 20. Factor w(z).
-5*z**3*(z + 1)*(2*z - 1)
Let o be (75/27 - 3)/(90/135)*(-8)/8. Let -o*m**3 - 21*m + 5*m**2 + 49/3 = 0. Calculate m.
1, 7
Let q be (-1 - (-2)/(-4)) + 56/16. Suppose -5*z - 24 = -3*t, 0*t + 12 = 2*t - q*z. Factor -5*d**2 + 2*d**3 - 5*d**3 - 5*d**3 - 7*d**t + 5*d**4 + 15*d.
5*d*(d - 3)*(d - 1)*(d + 1)
Determine s, given that -28/3*s**3 + 10/3*s**4 + 12 + 9*s + 1/3*s**5 - 46/3*s**2 = 0.
-12, -1, 1, 3
Let i(t) = 5*t**2 + 18*t + 4. Let m be i(-5). Solve 22*b**4 + 16*b**2 - m*b**4 + 2 + 14*b**4 + 1 + 14*b + 2*b**3 = 0.
-1, -1/3, 3
Let l(g) be the third derivative of -1/45*g**4 + 58*g**2 + 1/1575*g**7 + 4/225*g**5 + 0 + 0*g + 0*g**3 - 1/180*g**6. Let l(u) = 0. What is u?
0, 1, 2
Let o be 2/(8/(-20)) + (