ctor k(l).
5*(l - 1)*(13*l + 16)
Let d(v) be the third derivative of -v**5/120 - 311*v**4/6 - 386884*v**3/3 + 185*v**2 - v - 4. Find h, given that d(h) = 0.
-1244
Let g(d) be the third derivative of d**7/1050 - 169*d**6/600 + 827*d**5/300 - 1151*d**4/120 + 82*d**3/5 + d**2 + 1463. Find u such that g(u) = 0.
1, 3, 164
Let h(m) = 3*m + 60. Let x(i) = -4*i - 90. Let z(f) = 8*h(f) + 5*x(f). Let t be z(-4). Factor -27*r**3 + 10 + 3*r - 31*r**3 + t*r**2 + 19*r + 60*r**3.
2*(r + 1)**2*(r + 5)
Let f(s) be the first derivative of -16*s**6/11 - 1264*s**5/55 - 9*s**4/2 + 4*s**3 + 13*s**2/11 + 1275. What is k in f(k) = 0?
-13, -1/4, 0, 1/3
What is u in -2/5*u**2 - 88/5*u - 576/5 = 0?
-36, -8
Determine j so that 6559 - 6779 - 4*j**2 + 136*j + 88*j = 0.
1, 55
Let n(f) be the third derivative of f**5/210 - f**4/12 + 2*f**3/7 - 1644*f**2. Factor n(d).
2*(d - 6)*(d - 1)/7
Let h(x) be the first derivative of -38/9*x + 2*x**2 + 2/27*x**3 - 211. Determine n, given that h(n) = 0.
-19, 1
Suppose 21*t - y - 5 = 19*t, 3*y = -t - 1. Let x(r) be the first derivative of -3/4*r - 3/4*r**t + 15 - 1/4*r**3. Factor x(h).
-3*(h + 1)**2/4
Let m(n) be the first derivative of -n**3/6 - 95*n**2/4 + 198*n + 1076. Factor m(w).
-(w - 4)*(w + 99)/2
Let k(y) = -2*y**2 + y - 2. Let m(z) = 4*z**2 - 5617*z + 1389. Let g(s) = 8*k(s) - m(s). Determine u, given that g(u) = 0.
1/4, 281
Suppose -6*j + 678 = 21*j + 624. Factor 4/3*z**j - 1/3*z - 1/3*z**3 - 2.
-(z - 3)*(z - 2)*(z + 1)/3
Let u(t) be the second derivative of 3*t**6/35 - 38*t**5/35 + 221*t**4/42 - 82*t**3/7 + 72*t**2/7 - 5105*t. What is s in u(s) = 0?
4/9, 2, 3
Suppose 35*q + 4 = -3*w + 33*q, w = -5*q - 10. Let r(x) be the first derivative of -7/6*x**3 + w*x**2 - 46 - 1/8*x**4 + 0*x. Factor r(a).
-a**2*(a + 7)/2
Factor -72 - 1046*i**2 - 40*i**3 - 270*i + 566*i**2 + 330*i**2 + 7*i**3 + 66*i.
-3*(i + 2)**2*(11*i + 6)
Determine q so that -435*q**3 + 155*q**4 - 1891459 - 5*q**5 + 425*q**2 - 140*q + 1891459 = 0.
0, 1, 28
Determine g so that -120/7 - 1/7*g**2 + 23/7*g = 0.
8, 15
Find m, given that -14*m**2 - 6*m**2 - 20*m - 36*m**2 - 2*m**3 - 32*m**2 + 110*m**2 = 0.
0, 1, 10
Let g(c) = 12*c - 19. Let j be g(2). Factor 108*h**2 + 378*h**4 + 8*h - 3*h + 8*h + 147*h**j + 327*h**3 - h.
3*h*(h + 1)**2*(7*h + 2)**2
Let v(a) = -12*a**3 - 203*a**2 - 65*a - 6. Let b(j) = 47*j**3 + 813*j**2 + 260*j + 26. Let g(f) = -3*b(f) - 13*v(f). Factor g(s).
5*s*(s + 13)*(3*s + 1)
Suppose -4*o - 2*j + 2 = 0, 37684*j = 5*o + 37683*j - 20. Determine t so that -185/4*t**2 - 5 - 5*t**4 - 30*t - 105/4*t**o = 0.
-2, -1, -1/4
Suppose -27*q = -23*q - 44, -4*p = -6*q + 66. Factor 0*o**2 - 4/7*o**3 + p + 0*o + 4/7*o**4.
4*o**3*(o - 1)/7
Suppose 70*o = 174*o + 77*o. Let x(q) be the second derivative of o*q**2 - 7*q - 1/32*q**4 - 3/160*q**5 - 1/48*q**3 - 1/240*q**6 + 0. Solve x(h) = 0.
-1, 0
Suppose 99*j - 393/4 - 3/4*j**2 = 0. What is j?
1, 131
Solve 40 + 34/3*h - 2/3*h**2 = 0 for h.
-3, 20
Let y(l) be the first derivative of -l**3/4 - 57*l**2/4 - 102*l - 3635. Let y(n) = 0. Calculate n.
-34, -4
Let x(c) be the third derivative of 1/20*c**5 + 1/540*c**6 - 41/6*c**3 + 0 + 7/18*c**4 + 7*c - 3*c**2. Let s(y) be the first derivative of x(y). Factor s(d).
2*(d + 2)*(d + 7)/3
Find c such that -91*c + 44*c**2 + 136*c + 52 - 145*c + 2*c**3 + 2*c**3 = 0.
-13, 1
Let q(l) be the second derivative of l**5/90 + 25*l**4/27 + 553*l**3/27 + 196*l**2 + 8364*l. Factor q(u).
2*(u + 7)**2*(u + 36)/9
Let t = 421 - 815. Let w = -2359/6 - t. Factor w*h - 5/2*h**2 + 0.
-5*h*(3*h - 1)/6
Let 1125/2*i**3 + 6225/2*i**2 + 200 + 1540*i = 0. Calculate i.
-5, -4/15
Find i such that 4 - 7/2*i**2 - 1/2*i**4 + 11/2*i**3 - 5*i - 1/2*i**5 = 0.
-4, -1, 1, 2
Let h(z) be the second derivative of 2/5*z**2 - 2*z - 1/10*z**4 + 1/75*z**6 + 1/50*z**5 + 0 - 1/15*z**3. Factor h(s).
2*(s - 1)**2*(s + 1)*(s + 2)/5
Let y(i) = -2*i**4 + 7*i**3 + 12. Let o(n) = 5*n**4 - 20*n**3 - 34. Let m(h) = -6*o(h) - 17*y(h). Factor m(s).
s**3*(4*s + 1)
Let m = 1993938146/3018505 + 2/431215. Factor 4/7*h**2 + 272/7*h + m.
4*(h + 34)**2/7
Factor -23*t + 6*t**2 - 294 + 132*t - 2*t**3 - 11*t.
-2*(t - 7)*(t - 3)*(t + 7)
Let l(s) = -s**3 + 14*s**2 + 17*s - 24. Let t be l(15). Let o(r) = r**3 - 6*r**2 + r - 2. Let j be o(t). Solve -10*u**2 + 0*u**2 + 12*u**2 - j - 2*u = 0 for u.
-1, 2
Let t be (-4)/7 + 897/161. Suppose -5*g = -f - 23, t = g - 0. Factor 1/4*j + 1/8*j**4 - 1/4*j**3 - 1/8 + 0*j**f.
(j - 1)**3*(j + 1)/8
Let t(w) be the third derivative of -w**7/105 - w**6/12 + 37*w**5/10 - 203*w**4/12 + 98*w**3/3 + 1277*w**2. Determine y, given that t(y) = 0.
-14, 1, 7
Let 89632 + 136*y**2 + 4*y**3 - 89632 = 0. Calculate y.
-34, 0
Suppose 62 = s + 17. Let o be (s/(-5) + 13)/(1*7). Factor 6/7*p**4 - 2/7*p**5 - o*p**3 - 4/7*p**2 - 2/7 + 6/7*p.
-2*(p - 1)**4*(p + 1)/7
Let y(i) be the third derivative of -i**7/1575 - 103*i**6/900 - 77*i**5/10 - 7105*i**4/36 + 17150*i**3/9 + 66*i**2 - i. Solve y(u) = 0.
-35, 2
Factor -170*t**2 + 110*t**3 - 44 - 315*t - 86 - 203*t**3 + 108*t**3.
5*(t - 13)*(t + 1)*(3*t + 2)
Let j(w) be the second derivative of w**7/42 - 3*w**5 + 85*w**4/6 - 55*w**3/2 + 27*w**2 - w - 99. Factor j(m).
(m - 6)*(m - 1)**3*(m + 9)
Let x(w) be the third derivative of -17/180*w**5 + 52*w**2 - 1/6*w**3 + 0*w + 0 - 13/72*w**4 - 7/360*w**6. Solve x(i) = 0 for i.
-1, -3/7
Suppose -192/7*f + 48/7*f**3 + 200/7 + 2/7*f**4 - 58/7*f**2 = 0. Calculate f.
-25, -2, 1, 2
Factor 4/3*f**2 - 512/3 - 248/3*f.
4*(f - 64)*(f + 2)/3
Let n(s) be the third derivative of -2*s**7/105 + 43*s**6/30 + 94*s**5/15 - 86*s**4/3 - 240*s**3 + 3*s**2 + 33*s. Factor n(j).
-4*(j - 45)*(j - 2)*(j + 2)**2
Let f(v) = 11*v**3 + 2*v**2 - 3*v - 2. Let j be f(2). Determine t so that 110*t**2 + 2*t**4 + j*t + 52*t**3 + 82 + 2*t**4 + 2*t**4 - 58 = 0.
-6, -1, -2/3
Let b be 40/30*-9 + 30. Let l(j) be the second derivative of 0*j**2 - 5/48*j**4 - 5/24*j**3 - b*j + 0. Determine u so that l(u) = 0.
-1, 0
Let q(z) be the third derivative of 0*z - 5/8*z**4 - 3*z**2 - 10 - 7/20*z**5 + z**3. Factor q(t).
-3*(t + 1)*(7*t - 2)
Suppose 5*y = 20, 3*a = 3*y + 27 + 36. Suppose -a*w + 29*w = 12. Find j such that 0 - 1/2*j - 1/4*j**w + 3/4*j**2 = 0.
0, 1, 2
Let j = 4399337/9 - 488815. Suppose j*z - 2/9*z**3 + 8/9*z**2 - 8/9 = 0. Calculate z.
-1, 1, 4
Find g, given that 94/3*g**4 - 18*g**3 + 0 + 20*g - 94/3*g**2 - 2*g**5 = 0.
-1, 0, 2/3, 1, 15
Let v be (((-14630)/(-152))/77)/((-6)/(-4)). Determine a so that 7/6*a + 1/3*a**2 - v*a**4 - a**3 + 1/2 - 1/6*a**5 = 0.
-3, -1, 1
Let q = 20/8223 + 197212/57561. Let 0 + 0*v - 6/7*v**3 + q*v**2 - 3/7*v**4 = 0. What is v?
-4, 0, 2
Let u(s) be the third derivative of s**6/40 + 7*s**5/10 + 8*s**4 + 48*s**3 - 2349*s**2. Factor u(y).
3*(y + 4)**2*(y + 6)
Let h(u) = -u**3 + 10*u**2 - 16*u - 16. Let y be h(7). Find q such that -17*q**2 - 21*q + y*q**2 - 15*q + 12*q = 0.
0, 12
Let b(k) be the first derivative of 24*k**3 + 27/4*k**4 + 30*k**2 + 3/5*k**5 + 0*k - 202. Let b(g) = 0. Calculate g.
-5, -2, 0
Let y(l) = -l**4 + l - 3. Let q(s) = -56*s**3 + 244*s**2 - 332*s + 132. Suppose -302*r = -319*r + 68. Let i(c) = r*y(c) - q(c). Suppose i(o) = 0. Calculate o.
1, 6
Let p(t) be the third derivative of 0*t**3 + 17*t + 1/50*t**5 + 0 + 1/30*t**4 - 1/840*t**8 - 1/300*t**6 - 1/175*t**7 - t**2. Suppose p(f) = 0. What is f?
-2, -1, 0, 1
Suppose 16*x = 11*x - 10. Let d = x - -5. Factor y**d + 3 + y + 3*y - 3*y**2 - 5*y.
(y - 3)*(y - 1)*(y + 1)
Let d = -330/5813 + 100729314/29065. Factor d + 456/5*y + 3/5*y**2.
3*(y + 76)**2/5
Let l(m) be the first derivative of -m**6/33 + 4*m**5/55 + 5*m**4/22 - 4*m**3/11 - 1331. Determine k so that l(k) = 0.
-2, 0, 1, 3
Factor -68*q**5 + 115*q**4 - 5*q**2 + 13*q**2 + 16*q + 66*q**5 - 125*q**4 - 12*q**3.
-2*q*(q - 1)*(q + 2)**3
Suppose -34*m + 605 = -29*m. Let a = m - 846/7. Factor 0*s + 2/7*s**5 + 3/7*s**4 + 0 + a*s**3 + 0*s**2.
s**3*(s + 1)*(2*s + 1)/7
Let z be 11/(2*42/40 + -2). Let u be 0/(z/(-50) - 2/(-10)). Let 4/5*m**3 + 1/5*m**4 + 0 + u*m - 4/5*m**2 - 1/5*m**5 = 0. Calculate m.
-2, 0, 1, 2
Suppose -3*s - 12 = 3*u, 0 = 4*s + 14309*u - 14308*u - 2. Let -2/7*o**s - 80/7 + 82/7*o = 0. What is o?
1, 40
Let p(g) be the first derivative of 2*g**3/21 - 80*g**2/7 - 126. Solve p(k) = 0.
0, 80
Let a(f) be the first derivative of -f**5/30 + 11*f