+ 1111583*j - 446*j**2 = 0.
-1/7, 2/9, 7
Let b be (-111)/(-148) - (-165)/24. Let t = b - 35/8. Determine n, given that 23/4*n + 1/4*n**3 + t*n**2 + 11/4 = 0.
-11, -1
Let r = 527/9 - 175/3. Let t = -70 - -70. Let -8/3*z**2 - 16/9*z**3 + r*z**4 + 0 + 2/9*z**5 + t*z = 0. Calculate z.
-2, 0, 3
Let t(j) be the third derivative of j**6/600 - 9*j**5/200 + j**4/5 + j**3/6 - 36*j**2. Let x(q) be the first derivative of t(q). Solve x(a) = 0 for a.
1, 8
Let t = -2/779231 + 37403098/3896155. Find p, given that -t*p + 52/5 - 4/5*p**2 = 0.
-13, 1
Factor 86*f**3 - f**4 - 48*f**3 + 144 - 512*f + 568*f**2 + 10*f**4 - 230*f**3.
(f - 18)*(f - 2)*(3*f - 2)**2
Let s be 1 + 3/(-9) + 4/3. Suppose m + 2*q = 5*m, -s*q = -8. Factor -15*h + 25 - 7 + 15*h - 2*h**m.
-2*(h - 3)*(h + 3)
Suppose -y - 5*h + 204 = 0, -427 = 5*y + 2*h - 1493. Suppose 223*i = y*i + 18. Factor 5/11*b**3 + 16/11*b - 4/11 - 17/11*b**i.
(b - 2)*(b - 1)*(5*b - 2)/11
Let d = 99863 - 99785. Determine a so that d - 3/2*a**3 + 72*a + 27/2*a**2 = 0.
-2, 13
Let d(y) be the second derivative of -y**5/80 - y**4/8 - 518*y. Factor d(s).
-s**2*(s + 6)/4
Let w(q) be the third derivative of q**5/12 + 185*q**4/24 - 65*q**3 + 189*q**2 + 3*q. Factor w(b).
5*(b - 2)*(b + 39)
Let c(x) be the third derivative of -x**8/630 - x**7/1575 + 2*x**6/225 + x**5/225 - x**4/45 - x**3/45 + 14186*x**2. Solve c(o) = 0 for o.
-1, -1/4, 1
Let j(k) = -k**2 + 83*k - 534. Let b be j(7). Let q be (120/280)/(b/(-14)). Factor 0 + 9/2*y**2 - q*y - 3/2*y**3.
-3*y*(y - 2)*(y - 1)/2
Let h(f) be the first derivative of -2 + 36*f + 1/12*f**3 + 3*f**2. Let h(p) = 0. What is p?
-12
Suppose -46 = -8*f - 6. Let t be (7/(-140)*f)/((-1)/3). What is k in -3/4*k**5 - t*k**3 + 0*k**2 + 3/2*k**4 + 0 + 0*k = 0?
0, 1
Let f(p) = -25*p**2 - 48*p + 478. Let r be f(9). Let s = r - -1981. Suppose 27/5*v**s - 6*v + 8/5 - v**3 = 0. Calculate v.
2/5, 1, 4
Let v(u) be the second derivative of -u**4/60 - u**3/15 + 3*u**2/2 + 115*u. Factor v(z).
-(z - 3)*(z + 5)/5
Let l = -826 - 800. Let p = 1626 + l. Factor 32/9*g**4 + 32/9*g + 0*g**2 - 2/3*g**5 - 16/3*g**3 + p.
-2*g*(g - 2)**3*(3*g + 2)/9
Let z = -19335 - -19338. Let k(s) be the first derivative of -1/6*s**z + 3 + 0*s + s**2. Determine u so that k(u) = 0.
0, 4
Suppose -10*a**2 + 3*a**5 + 14*a**2 + 26*a**2 + 26 - 72*a**3 - 12*a**4 + 213*a + 100 = 0. What is a?
-3, -1, 2, 7
Factor 3862/7*y - 552 + 2/7*y**2.
2*(y - 1)*(y + 1932)/7
Let r(w) be the third derivative of 0 + 192/7*w**3 + 4/7*w**4 + 0*w - 62*w**2 + 1/210*w**5. Let r(g) = 0. Calculate g.
-24
Let r(n) be the first derivative of n**6/2 - 69*n**4/2 - 128*n**3 - 369*n**2/2 - 120*n + 678. Find l such that r(l) = 0.
-5, -1, 8
Let g = 4460 + -4457. Let q(v) be the second derivative of -23/3*v**g + 6*v**2 - 18*v + 0 + 7/6*v**4. Factor q(u).
2*(u - 3)*(7*u - 2)
Let l(r) be the second derivative of -7*r**7/24 - 413*r**6/120 - 487*r**5/80 + 41*r**4/48 + 17*r**3/3 - 7*r**2/2 + 4614*r. Suppose l(i) = 0. Calculate i.
-7, -1, 2/7
Solve 32/7*q + 1/7*q**2 - 33/7 = 0.
-33, 1
Let f(a) be the first derivative of -13/9*a**4 + 2/45*a**5 + 364/9*a**2 + 94/9*a**3 + 3 + 392/9*a. Find r such that f(r) = 0.
-1, 14
Factor -64*b**4 + 349*b**5 + 348*b**5 - 100*b + 352*b**3 - 680*b**2 + 1000 + 343*b**5 - 1036*b**5.
4*(b - 5)**3*(b - 2)*(b + 1)
Factor -1760/3*b**2 + 0 - 1534/3*b**3 - 338/3*b**4 - 200*b.
-2*b*(b + 3)*(13*b + 10)**2/3
Factor 1306*v**2 + 317*v - 1261*v**2 + 7 + 7.
(v + 7)*(45*v + 2)
Let h(u) be the first derivative of -2*u**3/33 - 45*u**2/11 - 988*u/11 - 4665. Factor h(r).
-2*(r + 19)*(r + 26)/11
Factor -342792 + 659*m + 378*m + 239*m - 2*m**2 + 380*m.
-2*(m - 414)**2
Determine l so that -339*l**2 + 46*l + 0*l**5 - 446*l + 83*l**2 - 192 + 4*l**5 + 0*l**5 - 36*l**3 + 16*l**4 = 0.
-3, -2, -1, 4
Let c(t) be the second derivative of t**6/60 - 9*t**5/40 + 17*t**4/24 + 3*t**3/4 - 9*t**2/2 + 10*t + 287. Determine d, given that c(d) = 0.
-1, 1, 3, 6
Suppose 6*g = 7*g - 3. Let j be 0 + (g - 2)*3. Solve -6*a**2 - a + j*a**3 + 6 - 5*a + 3*a = 0.
-1, 1, 2
Let u be (-2 - -2)/(4/(-2)). Suppose 56*s + 3*z = 51*s - 36, 60 = 2*s - 5*z. Factor 3/4*a**3 + u - 3/4*a + s*a**2.
3*a*(a - 1)*(a + 1)/4
Suppose 126 = -9*f + 27*f. Suppose 4*j - 4 = 3*l - 8, -f = -4*l + 5*j. Factor -5/3*x + l*x**2 - 16/3*x**3 - 1.
-(x - 1)*(4*x - 3)*(4*x + 1)/3
Find q, given that 60*q**3 - 12*q**3 - 1374*q - 3*q**4 + 600*q - 39*q**2 + 36*q + 1512 = 0.
-4, 3, 14
Let v = -4056 + 4060. Let a(j) be the first derivative of -j + 1/3*j**3 + 1/6*j**2 - 1/12*j**v - 20. Factor a(q).
-(q - 3)*(q - 1)*(q + 1)/3
Factor -1/4*z**2 - 149/4*z + 75/2.
-(z - 1)*(z + 150)/4
Let j(u) be the second derivative of -u**9/26460 - u**8/11760 - 19*u**4/12 - u + 10. Let y(b) be the third derivative of j(b). What is s in y(s) = 0?
-1, 0
Let q(o) be the first derivative of 0*o - 4*o**2 + 2/5*o**5 - 1/40*o**6 - 15 + 9*o**3 - 21/8*o**4. Let b(v) be the second derivative of q(v). Factor b(t).
-3*(t - 3)**2*(t - 2)
Let f(k) be the first derivative of -3*k**4/16 - 1707*k**3/4 - 2913849*k**2/8 - 552660027*k/4 + 644. Determine s, given that f(s) = 0.
-569
Let p = 3188 + -3186. Let l(u) be the first derivative of -1/2*u**4 - 5 - 5*u**p + 8/3*u**3 + 4*u. What is h in l(h) = 0?
1, 2
Let c = -274387 + 274389. Determine v so that -578/7*v**c - 288/7 + 816/7*v = 0.
12/17
Let a = 23 + -15. Let h = -222 + 224. Factor -9*w + a*w - 9*w + 2*w**h.
2*w*(w - 5)
Let f = -1279/4 + 3845/12. Solve -f*k**2 - 7/9*k + 0 + 1/9*k**3 = 0.
-1, 0, 7
Factor 354/5*a - 68 - 12/5*a**2 - 2/5*a**3.
-2*(a - 10)*(a - 1)*(a + 17)/5
Let g(w) = 2*w**2 - 9*w - 16. Let r(j) be the first derivative of -2*j**3/3 + 4*j**2 + 16*j + 527. Let a = -7 - -12. Let y(p) = a*r(p) + 6*g(p). Factor y(i).
2*(i - 8)*(i + 1)
Suppose 5*i = 2*l + 8, -3*i = 2*i + 5*l - 15. Let p be (70/250 + -1)*(-60)/54. Factor 4/5*z**i - 16/5 + 16/5*z - p*z**3.
-4*(z - 2)*(z - 1)*(z + 2)/5
Let m(z) = 8*z - 12. Let a be m(14). Determine d so that 315*d - 8*d**5 - 2*d**5 - 315*d + 5*d**5 - 45*d**4 - a*d**3 = 0.
-5, -4, 0
Let b(u) be the first derivative of u**6/120 + u**5/8 + 3*u**4/4 + u**3 - 3*u**2/2 - 47. Let l(g) be the third derivative of b(g). Factor l(n).
3*(n + 2)*(n + 3)
Let p(u) = -u**2 - u - 1. Let f be (13/(-2))/(((-22)/(-24))/11). Let w = -77 - f. Let n(k) = 3*k**2. Let i(z) = w*n(z) + 4*p(z). Solve i(c) = 0.
-2
Let i = -340 - -4422/13. Let r be 9720/1170 - 10*16/20. Suppose r - 2/13*j**2 + i*j = 0. Calculate j.
-1, 2
Let v(n) be the first derivative of n**6/21 - 16*n**5/35 + 9*n**4/7 - 32*n**3/21 + 5*n**2/7 + 171. Factor v(j).
2*j*(j - 5)*(j - 1)**3/7
Let y(g) be the third derivative of g**6/30 + 7*g**5/15 - 7*g**4/3 - 32*g**3 - 1088*g**2. Solve y(w) = 0 for w.
-8, -2, 3
Let a(t) be the third derivative of 8/3*t**3 + 0*t + 3/2*t**4 - 1/5*t**5 + 1/90*t**6 - 9*t**2 + 0. Let w(g) be the first derivative of a(g). Factor w(u).
4*(u - 3)**2
Suppose -9*m = -5*m - 312. Let d = m - 75. Find l, given that 191*l**3 - 383*l**3 - 3*l**2 + d*l**4 + 198*l**3 - 6*l = 0.
-2, -1, 0, 1
Let u be (2/18)/(652/7824). Factor 2/3*w**2 + u - 2*w.
2*(w - 2)*(w - 1)/3
Let r(h) be the third derivative of -161*h + 1/420*h**7 + 0 - 1/3*h**4 + 0*h**3 - 7/120*h**6 - 2*h**2 - 31/120*h**5. Solve r(p) = 0.
-1, 0, 16
Suppose 26 = 5*b + 4*z, -2*b = 4*z - 3*z - 11. Let t(s) be the first derivative of -b*s - 13*s**2 + 13 - 8/3*s**3. Factor t(c).
-2*(c + 3)*(4*c + 1)
Factor -1/8*c**3 - 199/8*c + 11/2*c**2 + 39/2.
-(c - 39)*(c - 4)*(c - 1)/8
Let h be 5/(8/(-192)*-20). Suppose -h*x - 100 = -26*x. Factor 0 - 9/5*j + 2/5*j**3 - 1/5*j**x - 4/5*j**4 + 12/5*j**2.
-j*(j - 1)**2*(j + 3)**2/5
Let i(v) be the second derivative of -v**4/48 + 7*v**3/12 + 4*v**2 + 1160*v. Factor i(l).
-(l - 16)*(l + 2)/4
Let t(n) be the second derivative of n**7/14 - n**6 - 57*n**5/10 + 81*n**4 - 243*n**3/2 - 891*n**2 - 3164*n. What is z in t(z) = 0?
-6, -1, 3, 11
What is c in 135*c**2 - 545/4*c + 5/4*c**3 + 0 = 0?
-109, 0, 1
Let h(r) = -37*r**2 - 888*r + 5. Let j be h(-24). Find f such that 6*f**j - 15/2*f + 3/2*f**3 + 3/2 - 12*f**4 + 21/2*f**2 = 0.
-1, 1/2, 1
Suppose 8417*l - 105 = 8402*l. Let q(d) be the second derivative of 0*d**2 - 1/336*d**l - 1/60*d**6 - 5*d - 1/48*d**3 + 0 - 1/24*d**4 - 3/80*d**5. Factor q(j).
-j*(j + 1)**4/8
Suppose -139*p - 80 = -636. Suppose 4*b**3 - 48/5*b