36. Determine l so that -4/5*l + 8/5*l**n - 4/5 + 12/5*l**2 + 4*l**3 = 0.
-1, 1/2
Solve 1519/4*g + 1/2*g**4 + 73/2*g**3 - 245*g**2 - 343/2 - 1/4*g**5 = 0 for g.
-14, 1, 7
Suppose -2*t - 8 = 5*c, -3*t = -5*c + 16 - 4. Let n be 6/10*110/99 - c. Determine i so that -6 - 20/3*i - n*i**2 = 0.
-9, -1
Let a(m) = 2*m**3 + 3*m. Let t(o) = -o**4 - o**3 - 2*o. Let b(h) = h**3 - h**2 - 2. Let f be b(2). Let n(g) = f*a(g) + 3*t(g). Solve n(c) = 0 for c.
0, 1/3
Let t = -25/5419 - -715433/27095. Find k such that 72/5 - t*k**3 - 264/5*k + 18/5*k**4 + 314/5*k**2 = 0.
2/3, 3
Let s(w) be the first derivative of -w**5/40 - 11*w**4/12 - 8*w**3 + 72*w**2 + 82*w - 166. Let p(l) be the first derivative of s(l). Factor p(g).
-(g - 2)*(g + 12)**2/2
Let m(n) = -65*n**2 + 130*n - 600. Let b(l) = -4*l**2 - l. Let f(d) = 15*b(d) - m(d). Let f(a) = 0. Calculate a.
5, 24
Let c = -449 - -452. Let w be 40/(-15)*-5 - (-5)/c. Find s such that -9/2*s**4 - 9*s - 18*s**2 - w*s**3 - 3/2 = 0.
-1, -1/3
Let r be ((-32417)/21 - 8) + (1 - 5). Let o = r + 1557. Determine z so that 2/3*z**2 + 0 + 4*z - o*z**3 = 0.
-3/2, 0, 2
Factor 68442/7*g + 2/7*g**3 + 744/7*g**2 - 139876/7.
2*(g - 2)*(g + 187)**2/7
Let v(u) be the second derivative of -11*u**7/105 + 266*u**6/75 - 1973*u**5/50 + 365*u**4/3 + 980*u**3/3 - 200*u**2 + 58*u - 135. Solve v(r) = 0 for r.
-1, 2/11, 5, 10
Factor -34*m**3 - 14077*m**2 + 16*m**3 - 12730978977 - 494*m**2 - 23590449*m + 6*m**3 + 9*m**3.
-3*(m + 1619)**3
Let k(f) be the first derivative of 4*f**5/5 + 22*f**4 + 80*f**3/3 - 44*f**2 - 84*f - 1278. Find l, given that k(l) = 0.
-21, -1, 1
Let r be (-4)/6 - ((-320)/(-24) + -7). Let p be r + -14 + 12 + 12. Find y such that 144/5*y + 48/5*y**4 - 32/5 - 88/5*y**2 - 20*y**p + 28/5*y**5 = 0.
-2, 2/7, 1
Let v(f) be the third derivative of -f**5/30 - 914*f**4/3 - 3341584*f**3/3 - 6*f**2 - 21*f + 3. Factor v(w).
-2*(w + 1828)**2
Let j(x) = 9*x**4 + 10*x**3 - 47*x**2 + 80*x - 44. Let n(m) = -34*m**4 - 39*m**3 + 188*m**2 - 321*m + 176. Let z(u) = 15*j(u) + 4*n(u). Solve z(k) = 0 for k.
-11, 1, 2
Let c(o) be the second derivative of -o**8/36960 - o**7/6930 + 5*o**4/12 - 11*o**3/6 + 81*o. Let m(t) be the third derivative of c(t). What is s in m(s) = 0?
-2, 0
Let l(j) = -2*j**3 - 259*j**2 - 603*j + 4069. Let c be l(-127). Factor c*m**2 + 0 + 0*m - 1/3*m**3.
-m**2*(m - 15)/3
Factor 488/17*d**2 - 1976/17*d + 1984/17 + 2/17*d**3.
2*(d - 2)**2*(d + 248)/17
Let y = -70820/27 + 2623. Let a(g) be the second derivative of 5/54*g**3 + 1/180*g**5 + 0 + 12*g + y*g**4 + 1/9*g**2. Find h such that a(h) = 0.
-2, -1
Suppose 0 = q + 2*q - 15. Suppose -8*b = -x + 74, 0 = -3*x + 3*b + 829 - 796. Let 15/4*l**x + q*l + 0 - 5/4*l**3 = 0. Calculate l.
-1, 0, 4
Let z(g) = 2*g**3 - 27*g**2 - 86*g + 1010. Let b be z(14). Let 246/5*q - 24/5*q**b - 12 = 0. What is q?
1/4, 10
Suppose -5*d + f + 499 = 0, -f + 3*f = 5*d - 503. Let i = -96 + d. Factor i*r**2 + 72*r**4 - 14*r**5 + 7*r**3 + 122*r**5 - 40*r**3.
3*r**2*(r + 1)*(6*r - 1)**2
Let i = -20 - -27. Suppose -505 = -i*c + 69. What is d in -112 + c - 27*d + 5*d**2 + 2*d = 0?
-1, 6
Let d be (72/38 - -1) + 3688/35036. Factor 11/3*l + 1/3*l**d - 2 - 2*l**2.
(l - 3)*(l - 2)*(l - 1)/3
Solve 4 + c**5 - 3*c**5 + 52*c**4 - 232*c - 466810*c**2 - 4 + 466818*c**2 + 174*c**3 = 0.
-2, 0, 1, 29
Let d(r) be the first derivative of 0*r + 0*r**2 + 35 - 1/16*r**4 - 3/4*r**3. Factor d(j).
-j**2*(j + 9)/4
Let y(q) be the second derivative of -1/84*q**4 + 0 - 2*q**2 - 8/21*q**3 + 52*q. Suppose y(b) = 0. Calculate b.
-14, -2
What is l in -722 - 3/4*l**3 - 115/2*l**2 - 1121*l = 0?
-38, -2/3
Let k(g) be the first derivative of -6*g**3/5 + 273*g**2/10 - 183*g + 8105. Factor k(r).
-3*(r - 5)*(6*r - 61)/5
Let w(k) be the first derivative of 10 + 0*k - 3/2*k**3 + 9/10*k**5 + 1/12*k**6 - 1/8*k**4 + 0*k**2. Let w(r) = 0. What is r?
-9, -1, 0, 1
Let j(w) = -21*w + 187. Let m be j(8). What is l in 14*l + 56 - 5134*l**3 + 6*l**2 + 5136*l**3 - 43*l - m*l = 0?
-7, 2
Let w be (-12276)/(-72996) + 6/(-237). Determine r, given that -w*r**2 + 1/7*r - 1/7*r**3 + 0 + 1/7*r**4 = 0.
-1, 0, 1
Let p(a) be the first derivative of -3/20*a**5 - 1 + 0*a**3 - 3/4*a**4 + 6*a**2 - 9*a. Let l(z) be the first derivative of p(z). Suppose l(t) = 0. What is t?
-2, 1
Let i(q) = -3*q**4 - 25*q**3 - 40*q**2 - 25*q - 14. Let z(a) = 0 - 4*a - 3 - 2*a - 1 - 13*a**2 - a**4 - 2*a - 8*a**3. Let y(f) = 6*i(f) - 21*z(f). Factor y(s).
3*s*(s + 1)*(s + 2)*(s + 3)
Let v(k) be the second derivative of k**6/480 - k**5/60 - 53*k**2/2 - k. Let y(m) be the first derivative of v(m). Solve y(z) = 0.
0, 4
Let l = 6573603/1752964 - -3/438241. Factor -l*i**3 + 3/4*i**5 + 0*i + 0 - 9/4*i**2 - 3/4*i**4.
3*i**2*(i - 3)*(i + 1)**2/4
Suppose -18*v = -312 + 24. Let x be (-15)/(-9) + v/48. Factor 0 + 0*j - 3/5*j**x - 3/5*j**3.
-3*j**2*(j + 1)/5
Let s(p) = -p**2 - p - 4. Let y(u) = 4*u**2 - 254*u + 8. Let v(n) = -4*s(n) - 2*y(n). Find f such that v(f) = 0.
0, 128
Let d(m) = m**3 - 10*m**2 + 16*m + 2. Let g be d(8). Let -36*z + 40*z - 29*z - 5*z**g = 0. Calculate z.
-5, 0
Let a(r) be the second derivative of r**7/105 + 8*r**6/15 + 72*r**5/25 + 8387*r. Let a(g) = 0. What is g?
-36, -4, 0
Factor 1/2*d**2 + 52*d + 102.
(d + 2)*(d + 102)/2
Factor -40 - 12042193*x**4 + 160*x - 4*x**2 + 12042191*x**4 + 46*x**3 - 38*x - 122*x**2.
-2*(x - 20)*(x - 1)**3
Let i(x) be the first derivative of 15/2*x**2 + 90*x + 8 - 5/3*x**3. Factor i(u).
-5*(u - 6)*(u + 3)
Suppose -24 + 23*r - r**2 + 33*r + 2*r**2 + 35*r - 89*r = 0. Calculate r.
-6, 4
Factor -8*i**2 + 0 + 1/2*i**3 - 17/2*i.
i*(i - 17)*(i + 1)/2
Let f be ((-85428)/16950)/(1/(-70)). Solve -84/5*b - f*b**2 - 1/5 = 0 for b.
-1/42
Determine l so that 540 - 585*l**2 + 102*l + 303*l**2 + 194*l**2 - 2*l**3 = 0.
-45, -2, 3
Suppose 3*a - 2*z = 244, 5*a + 5*z - 424 = 4*z. Suppose -3*m + 24*m - a = 0. Factor -4*f**3 + 0 + 8/5*f**2 + 16/5*f**m + 0*f - 4/5*f**5.
-4*f**2*(f - 2)*(f - 1)**2/5
Suppose 0 = -5*r - x + 18, -r + 3*x - x - 3 = 0. Suppose -18*l + 21*l - 348 = 0. Factor -i**r + 4*i + 3*i**2 + 2*i**2 - 3*i - 3*i**4 - 118 + l.
-(i - 1)*(i + 1)**2*(3*i - 2)
Let m be 32/14 - 4080/(-5712). Let 0 - 8*v**2 - 24*v - 2/3*v**m = 0. What is v?
-6, 0
Let b(t) be the first derivative of -t**6/6 + 47*t**5/5 - 307*t**4/4 - 1857*t**3 - 9828*t**2 - 21168*t + 317. Factor b(k).
-(k - 28)**2*(k + 3)**3
Let h(i) be the first derivative of -i**6/135 + 2*i**5/45 - 5*i**4/54 + 2*i**3/27 + 136*i + 145. Let n(l) be the first derivative of h(l). Factor n(u).
-2*u*(u - 2)*(u - 1)**2/9
Let d(z) = -z**3 + 319*z**2 + 1217*z + 909. Let f(u) = -9*u**3 + 2235*u**2 + 8517*u + 6363. Let c(x) = 15*d(x) - 2*f(x). Determine k so that c(k) = 0.
-101, -3, -1
Let 150/7*z**2 + 632/7 - 624/7*z + 2/7*z**3 = 0. Calculate z.
-79, 2
Factor -6/5 - 12/5*w**3 + 2/5*w**2 + 1/5*w**5 + 11/5*w + 4/5*w**4.
(w - 1)**3*(w + 1)*(w + 6)/5
Suppose 3*l = -l + 8. Let v be ((-5)/30*l)/(2/(-24)). Let y**2 - 1976 - 6*y - v*y**2 + 1973 = 0. Calculate y.
-1
Suppose -7*r**2 - 10*r**2 - 100 + 4*r**2 + 33*r - 5*r + 48*r = 0. What is r?
2, 50/13
Solve 2/9*b**3 - 782/9*b**2 + 76048/9*b + 76832/9 = 0.
-1, 196
Let h(z) be the third derivative of -1/60*z**5 + 0*z + 65*z**2 + 0 - 11/3*z**3 - 23/24*z**4. Let h(v) = 0. Calculate v.
-22, -1
Suppose 4*v - 23 = -3*j, -5*j = -2*v + 49 - 70. Let 8/5*a + 3 + 1/5*a**v = 0. What is a?
-5, -3
Let s(z) be the third derivative of z**6/600 - 11*z**5/60 + 53*z**4/60 + 5*z**2 + 77. Find q, given that s(q) = 0.
0, 2, 53
Let q(a) be the second derivative of 23*a**5/40 - 49*a**4/24 + a**3/2 - 2*a + 229. Find i such that q(i) = 0.
0, 3/23, 2
Suppose 0 = 7*l - 2*l - 2*z - 18, -21 = -4*l - 5*z. Suppose h = s + 15, 5*h + 2 = -l*s + 50. Factor -2 - 3*r**3 - 10 + h + 6*r**2.
-3*r**2*(r - 2)
Factor 911*j**3 - 116*j**4 - 1157*j + 2*j**5 - 1595*j - 1344 - 1679*j**3 - 2144*j**2 - 6*j**5.
-4*(j + 2)**4*(j + 21)
Let n be (-84)/(-112)*(-8)/96*-100. Determine x so that -3/2 - n*x**3 + 25/4*x + 15/4*x**2 - 9/4*x**4 = 0.
-3, -1, 2/9, 1
Let b be -9 + (755 - (-2 - -8)). Let f be (b/90 + -8)*6. Find n, given that -20/3*n**4 - 2*n**5 + 0 + 0*n - f*n**2 - 6*n**3 = 0.
-2, -1, -1/3, 0
Let d(h) = -22*h**2 - 814*h + 1788. Let q(x) = -9*x**2 - 325*x + 716. Let j(a) = 5*d(a) - 12*q(a). Factor j(g).
-2*(g - 2)*(g + 87)
Let y(v) be the fi