8/5 + 2/15*z**2.
2*(z - 42)*(z - 1)/15
Let c(s) be the third derivative of 3*s**5/16 - 515*s**4/96 - 25*s**3/2 - 3*s**2 - 333. Determine n so that c(n) = 0.
-5/9, 12
Factor 0*r**2 + 0 + 2*r**5 + 0*r + 34/5*r**4 + 12/5*r**3.
2*r**3*(r + 3)*(5*r + 2)/5
Let n be (-50)/(-8) - (29/4 - 7). Let v(u) = u**2 - 300*u - 2239. Let d(f) = f**2 - 150*f - 1119. Let s(c) = n*v(c) - 11*d(c). Factor s(a).
-5*(a + 15)**2
Let v be (1/2)/(17/646). Suppose v*k = 15*k + 2*q + 100, 5*q = 2*k - 58. Suppose k*m**3 + 12*m**2 + 3/2*m + 0 = 0. Calculate m.
-1/4, 0
Let i(y) = 14*y**3 + 1946*y**2 - y - 136. Let j be i(-139). Factor 2/15*t**j - 14/15*t - 4/3 + 8/15*t**2.
2*(t - 2)*(t + 1)*(t + 5)/15
Let m = -71990/51 - -24042/17. Solve m - 14/3*o**2 - 8/3*o + 2*o**4 + 8/3*o**3 = 0 for o.
-2, -1, 2/3, 1
Let k be ((-1553)/(-147) + -10)*1. Let m = k - -5/49. Determine h, given that 8/15 + 2/15*h**2 + m*h = 0.
-4, -1
Let t(o) be the second derivative of -7*o**6/10 - 81*o**5/20 + 57*o**4 - 16*o**3 + 3210*o. Suppose t(s) = 0. Calculate s.
-8, 0, 1/7, 4
Suppose -148 = 60*c - 493 + 165. Factor 1/2*t + c - 1/2*t**2.
-(t - 3)*(t + 2)/2
Let 1/4*b**3 - 153/4 - 9/4*b + 17/4*b**2 = 0. Calculate b.
-17, -3, 3
Let q(o) be the first derivative of o**3/30 - 47*o**2/10 + 2193*o/10 - 15444. Factor q(g).
(g - 51)*(g - 43)/10
Let n = 704 - 690. Let b be 46/n + 2 + 176/(-77). Factor -2/17*y**4 + 6/17*y**2 - 4/17*y + 0 + 0*y**b.
-2*y*(y - 1)**2*(y + 2)/17
Let y(b) = -14*b**2 - 2782*b + 1120. Let c(u) = -41*u**2 - 8347*u + 3359. Let m(k) = -4*c(k) + 11*y(k). Factor m(p).
2*(p + 279)*(5*p - 2)
Let r(x) be the third derivative of 0 + 2*x**2 - 1/135*x**6 + 2/945*x**7 + 0*x**4 + 1/1512*x**8 + 0*x**3 + 23*x - 4/135*x**5. Factor r(f).
2*f**2*(f - 2)*(f + 2)**2/9
Let 1065/4*f**2 + 44738875/4 - 378075/4*f - 1/4*f**3 = 0. What is f?
355
Let n be 72/8 + (-9 - (-6 - -2)). Suppose -2*s = 3*f - 18, -f + n*s - 5 = 3. Suppose -2/5*a**f + 6/5*a**3 - 4/5*a**2 + 0*a + 0 = 0. Calculate a.
0, 1, 2
Find k such that 0 + 32/9*k**2 + 8*k - 2/9*k**3 = 0.
-2, 0, 18
Let j be 2 + 2 - -16*6/12 - 12. Factor -1/5*o**4 + j + 0*o**2 + 0*o + 2/5*o**3.
-o**3*(o - 2)/5
Suppose -p + 2*j + 16 = 2*p, -2*p = 5*j + 21. What is b in 48*b**p + 156*b + 3*b**3 - 52 + 78 + 118 = 0?
-12, -2
Suppose 5*m + 0*m = 2*z - 5, -3*m = z + 3. Suppose w - v = -w + 121, z = -2*w + 5*v + 109. Factor -2 + 64*y - 30*y**3 + 20*y**4 + 142*y**3 + 192*y**2 - w.
4*(y + 2)**3*(5*y - 2)
Let r(a) = -2*a**3 - 5*a**2 + 3*a + 785. Let m be r(0). Let o be (-5)/3 + -8 + m/75. Factor -1 + 17/10*s - o*s**2 + 1/10*s**3.
(s - 5)*(s - 2)*(s - 1)/10
Suppose -16*m + 15*m = -1, 3*u - m - 23 = 0. Let t(p) = 40*p - 318. Let s be t(u). Factor -s*k - 5/4*k**2 + 1.
-(k + 2)*(5*k - 2)/4
Let l = 203453/21 + -29057/3. Suppose 20/7*n**4 + l*n - 16/7*n**2 - 12/7*n**3 - 4/7 - 6/7*n**5 = 0. Calculate n.
-1, 1/3, 1, 2
Let h(t) be the third derivative of -t**5/600 + 31*t**4/240 - 482*t**2. Determine x, given that h(x) = 0.
0, 31
Let x(d) be the third derivative of d**4/24 - 5*d**3/6 - 12*d**2. Let h be x(6). Factor 2 + 1 + 23*t + 64*t**2 + 9*t + h.
4*(4*t + 1)**2
Let j(o) be the first derivative of -4*o**5/5 - o**4/2 + 8*o**3/3 + 3*o**2 + 376. Solve j(d) = 0 for d.
-1, 0, 3/2
Let v(s) be the first derivative of -16/7*s + 131 + 2/21*s**3 - s**2. Find d, given that v(d) = 0.
-1, 8
Let l(b) be the second derivative of 0 + 1/36*b**5 - 1/216*b**6 + 0*b**2 + 5/24*b**4 - 27*b - 3/2*b**3. Let x(p) be the second derivative of l(p). Factor x(f).
-5*(f - 3)*(f + 1)/3
Let g be 9 + 45/(-5) - (-1 + -3). What is w in -7*w**4 - 14*w**g + 31*w**3 - w**3 + 3*w**5 + 4009*w - 4009*w = 0?
0, 2, 5
Factor -117*n**2 + 14*n**3 - 14*n**3 + 20*n**3 - 3315*n + 6694*n - n**4 - 3217*n.
-n*(n - 9)**2*(n - 2)
Let p(a) = -106*a + 641. Let d be p(6). Let x(l) be the third derivative of 0 - 9/160*l**6 + 1/16*l**4 + 0*l + 15*l**2 + 0*l**3 + 7/80*l**d. Factor x(v).
-3*v*(v - 1)*(9*v + 2)/4
Let k(o) be the third derivative of o**5/210 - 13*o**4/42 - 64*o**3/7 + 86*o**2. Let k(n) = 0. What is n?
-6, 32
Let u(l) be the third derivative of -l**8/1176 + l**7/245 + l**6/105 - 2*l**5/35 + 311*l**2 - 1. Solve u(g) = 0.
-2, 0, 2, 3
Let g be (276/(-44) - -6) + (-16 - 2211/(-121)). Factor 5/2*h**3 + 0 + 10*h**g + 0*h.
5*h**2*(h + 4)/2
Let w(c) be the third derivative of -c**6/180 - c**5/10 - 23*c**4/36 - 5*c**3/3 + 1528*c**2. Solve w(t) = 0 for t.
-5, -3, -1
Let d(l) be the third derivative of -l**8/1344 + l**6/48 + l**5/12 + 5*l**4/6 + l**2 + 28. Let n(u) be the second derivative of d(u). Factor n(f).
-5*(f - 2)*(f + 1)**2
Let u(q) = -96*q + 98. Let v be u(1). Suppose 408 + 84*r**2 - 264 - 5*r**3 - 20*r**v - 228*r = 0. Calculate r.
4/5, 6
Let o be (4/6)/(((-1840)/(-36))/23). Let w = o + 6/5. Let -w*g**5 - 9*g**3 + 0 - 6*g**4 - 3/2*g - 6*g**2 = 0. Calculate g.
-1, 0
Suppose 3*p = -3*n + 33, 0*n + 2*n = 5*p + 15. Factor -3*m**4 - 5*m**4 + 6*m**2 - 4*m**4 + 4*m**5 + n*m**2.
4*m**2*(m - 2)**2*(m + 1)
Let q(o) be the second derivative of -13*o**3 - 1/4*o**4 + 81/2*o**2 + 0 - 213*o. Factor q(z).
-3*(z - 1)*(z + 27)
Solve -137*n**2 + 200 + 582*n**5 - 44*n**3 - 584*n**5 + 208*n - 162*n**3 - 5*n**2 - 58*n**4 = 0.
-25, -2, -1, 1
Let x(f) be the third derivative of -5/192*f**4 - 1/960*f**6 + 0 + 64*f**2 + 1/120*f**5 + 0*f + 1/24*f**3. Suppose x(m) = 0. What is m?
1, 2
Let s = -118945 - -832621/7. Factor -s*g**2 - 8/7 - 1/7*g**3 - 12/7*g.
-(g + 2)**3/7
Let a(h) = -h**3 + h**2 + 6*h + 1. Let k be a(-2). Let n = -21 - -21. Let -2*z + n*z**3 + z**4 + 8*z**2 + k + 2 - 12*z**2 + 2*z**3 = 0. Calculate z.
-3, -1, 1
Let o(l) = 32*l + 132. Let r be o(-11). Let b be (-165)/r + 2/(-8). Suppose b*i**3 + 0 - 1/2*i**2 - 1/2*i + 1/2*i**4 = 0. Calculate i.
-1, 0, 1
Let q(l) be the third derivative of -2*l**7/35 + 23*l**6/40 - 7*l**5/10 - 5*l**4/8 - 174*l**2 - 2*l. Factor q(k).
-3*k*(k - 5)*(k - 1)*(4*k + 1)
Let m(f) be the third derivative of -f**5/270 - f**4/27 + 77*f**3/27 + 4399*f**2. Let m(r) = 0. Calculate r.
-11, 7
Let s be (-25)/(-1)*(-3 - -7). Let z = -265630/3 - -88545. Factor -60*w - 65/3*w**3 - z*w**5 + s*w**2 - 50/3*w**4 + 0.
-5*w*(w - 1)**2*(w + 6)**2/3
Let j = 26873/6 - 4477. Suppose 11/6*c**2 - j + 5/6*c - 5/6*c**3 = 0. What is c?
-1, 1, 11/5
Let n be (-3)/54*-186 - 4/3. Let m(w) = -33*w + 300. Let y be m(n). Solve 8/7*q**y + 0 - 4*q**2 + 16/7*q + 4/7*q**4 = 0 for q.
-4, 0, 1
Solve 25*v**2 - 30*v**2 - 236096 - 311235 + 5400*v - 910669 = 0 for v.
540
Let t = -23864/9 + 23867/9. Factor -t*b**2 + 7/3 + 2*b.
-(b - 7)*(b + 1)/3
Let 62*i**2 - 60 + 58*i - 57*i**2 - 3*i = 0. What is i?
-12, 1
Let j(b) be the first derivative of 3/2*b**2 + 0*b - 1/4*b**3 + 113. Factor j(o).
-3*o*(o - 4)/4
Suppose 2/15*s**4 + 14/15*s**3 - 32/15*s + 0 - 4/3*s**2 = 0. Calculate s.
-8, -1, 0, 2
Let n(k) = -72*k**4 - 376*k**3 + 871*k**2 - 301*k - 112. Let l(x) = 36*x**4 + 188*x**3 - 434*x**2 + 150*x + 56. Let b(c) = 5*l(c) + 2*n(c). Factor b(g).
4*(g - 1)**2*(g + 7)*(9*g + 2)
Let v(o) = -85*o - 14 + 23 - 6 - 71*o - 14*o + 17*o**2. Let h be v(10). Determine d so that 3/4*d**5 - 3/2*d**2 + 0 + 3/2*d**4 - 3/4*d + 0*d**h = 0.
-1, 0, 1
Let u(q) be the second derivative of -1/12*q**3 - 23*q + 0 + 0*q**2 - 1/180*q**6 - 1/24*q**5 - 7/72*q**4. Determine y, given that u(y) = 0.
-3, -1, 0
Let j be -3*(1616/(-5656) - 6/(-70)). Solve 1/5*o**3 - j*o**2 - 2/5*o + 0 + 3/5*o**4 + 1/5*o**5 = 0 for o.
-2, -1, 0, 1
Let j be (-2)/((-48)/(-30)) - 175/(-100). Let o(m) be the third derivative of -28*m**2 - 13/12*m**4 + 0 + j*m**3 + 169/180*m**5 + 0*m. Factor o(q).
(13*q - 3)**2/3
Let g = 5030 - 4830. Factor 160 + 5/2*y**3 + g*y + 85/2*y**2.
5*(y + 1)*(y + 8)**2/2
Let r(d) be the first derivative of d**4/40 + 241*d**3/30 + 732*d**2 + 1440*d - 243. Let r(k) = 0. What is k?
-120, -1
Let p be 6/(75/(-12) + 7). Let w be 3 - (1 + 4 + (3 - p)). Determine u so that 4/7 - 2/7*u + 2/7*u**w - 4/7*u**2 = 0.
-1, 1, 2
Factor 292*c**4 + 884*c**3 + 796*c + 8 + 1300*c + 900*c**2 - 1780*c.
4*(c + 1)**3*(73*c + 2)
Let g(y) = 5 + 6*y**3 + 3*y**2 - 7*y**3 + 45*y - 15*y**2 - 15*y + 23. Let l be g(-14). Factor 8/13*u - 2/13*u**4 + l*u**2 + 0 - 6/13*u**3.
-2*u*(u - 1)*(u + 2)**2/13
Let s(l) be the second derivative of l**7/280 - 3*l**6/8 + 135*l**5/8 - 3375*l**4/8 - 17*l**3/6 - 60*l. Let p(x) be the second derivative of s(x).