t n(k) be the first derivative of k**6/30 - 21*k**5/25 + 87*k**4/20 - 23*k**3/3 + 24*k**2/5 + 73. Solve n(r) = 0 for r.
0, 1, 3, 16
Factor 2888/5 - 226/5*c**2 + 836*c + 3/5*c**3.
(c - 38)**2*(3*c + 2)/5
Let t = -23 + 44. Let c = 24 + t. What is q in -2*q**2 - c + q**3 + q + 45 = 0?
0, 1
Suppose k + 3*w - 31 = -0*w, -1 = -w. Let o = -8 + k. Solve 225*r**3 + 123*r**4 - 104*r**2 + 282*r**4 + o*r - 56*r**2 = 0.
-1, 0, 2/9
Let l(m) be the first derivative of -2*m**3/51 + 40*m**2/17 + 82*m/17 + 828. Factor l(j).
-2*(j - 41)*(j + 1)/17
Let 1/4*i**3 + 37/4*i**2 + 70*i - 300 = 0. What is i?
-20, 3
Let n(c) = c - 61. Let y be n(58). Let q be 3 + (-5)/(-4) + y. Find v, given that q*v**3 + 9/4*v**2 + 3/4*v - 1/4 = 0.
-1, 1/5
Suppose 0 = 438*x - 465*x + 108. Let j(v) be the third derivative of 0*v**5 - 8*v**2 + 0 + 1/60*v**6 + 0*v + 0*v**x + 0*v**3. Factor j(u).
2*u**3
Suppose 105*g = -q + 108*g + 19, 0 = -g - 6. Factor 5/8*a**3 - q + 3/2*a + 9/4*a**2.
(a + 2)**2*(5*a - 2)/8
Let r(u) be the third derivative of u**5/12 - 195*u**4/8 + 285*u**3 + 6441*u**2. Let r(l) = 0. What is l?
3, 114
Let y be (-4)/18 - (-5)/9. Let j = -47032 + 282193/6. Let -5/6*o**2 - j - 2/3*o - y*o**3 = 0. Calculate o.
-1, -1/2
Let h(n) = 23*n**2 + 371*n - 1878. Let w(r) = 40*r**2 + 735*r - 3755. Let v(o) = 5*h(o) - 3*w(o). Suppose v(t) = 0. What is t?
-75, 5
Let m(a) be the third derivative of 1/68*a**6 - 13/510*a**5 + 0*a**3 + 1/2856*a**8 + 0*a + 1/51*a**4 - 1/255*a**7 + 0 - 4*a**2. Factor m(u).
2*u*(u - 4)*(u - 1)**3/17
Let v(u) be the first derivative of -20 + 1/9*u**3 - 16/3*u**2 + 256/3*u. Factor v(f).
(f - 16)**2/3
Factor -165*y**4 + 64*y**2 + 11*y**2 + 15*y**3 + 110*y**4 + 245*y**3.
-5*y**2*(y - 5)*(11*y + 3)
Let s(r) = -24498*r + 146992. Let f be s(6). Suppose f + 18/5*g**2 + 94/5*g = 0. Calculate g.
-5, -2/9
Let l be (-4717)/(-3816) - ((-132)/(-32) + (-6 - -2)). Factor -l*w + 4/3 - 2/9*w**2.
-2*(w - 1)*(w + 6)/9
Suppose -49 = -8*g - 17. Find n, given that 3*n**g + 7*n**2 - 2*n**4 - 4*n**3 - 5*n**2 + 3*n**2 - 2*n = 0.
0, 1, 2
Solve -632/7*z**2 + 2/7*z**5 + 32/7*z**4 + 68/7*z**3 + 2200/7 - 1670/7*z = 0 for z.
-11, -5, 1, 4
Let b be (590/14 - 1)*((-4)/(-68) + (-3211)/(-16796)). Determine x so that -1/7*x**5 - b*x - 58/7*x**3 + 0 + 108/7*x**2 + 13/7*x**4 = 0.
0, 2, 3, 6
Let b = -73 - -108. Suppose -11 - 160*d**2 + b - 10*d**3 + 94*d**2 - 32*d = 0. Calculate d.
-6, -1, 2/5
Let q be ((-6)/21)/(2/(-14)). Let x be ((-1)/(-21)*2)/((-17)/(2601/(-34))). Let -6/7 + 0*r**4 + x*r**5 + 9/7*r - 12/7*r**3 + 6/7*r**q = 0. What is r?
-2, -1, 1
Let l(o) = -o**2 + 10*o - 19. Let t be l(7). Suppose 0 = -2*y + t*v + 14, 0 = 2*y + 2*y + 3*v. Solve 12*w**3 - 18*w**3 + 9*w**y = 0.
0
Suppose 0 = 5*i - v + 106, -17 = -i - 4*v - 34. Let u(n) = n**3 + 23*n**2 + 47*n + 108. Let s be u(i). Factor 0*q**2 + 3/5*q**4 + 48/5*q - 48/5 - 12/5*q**s.
3*(q - 2)**3*(q + 2)/5
Let q(m) = -m**2 - 10*m - 4. Let u be q(-9). Suppose 0 = -u*r + y + 18, -y = r - 0*r. Factor -372*v**2 - r - 3*v + 369*v**2 + 3.
-3*v*(v + 1)
Let b(t) = 12*t**4 + 7*t**3 - 31*t**2 + 5. Let k(o) = 4*o**4 + 2*o**3 - 10*o**2 + 2. Suppose 0 = -26*f + 22*f - 8. Let u(j) = f*b(j) + 7*k(j). Factor u(x).
4*(x - 1)**2*(x + 1)**2
Suppose -4*f + 1400 = 1088. Let t be -4 - f/(-18) - (-1)/(-6). Factor 1 - 5/6*v - t*v**2.
-(v - 1)*(v + 6)/6
Suppose 4*m + w - 11 = 3, m + 6 = -5*w. Suppose 2*l - 6 = -m*h, 0 = -2*h - 2*l + 4*l + 18. Factor -60*c**3 + 3*c**4 + 19*c**h + 28*c**4 - 16*c - 72*c**2.
2*c*(c - 2)*(5*c + 2)**2
Let s = 138 + 450. Let a be (-8)/6*(-49)/s. Factor 0*g + 0*g**3 - 2/9*g**2 + 1/9*g**4 + a.
(g - 1)**2*(g + 1)**2/9
Suppose 0 = 38*h - 35*h - 60, -852 = -9*j - 3*h. Factor -j*z - 3872 - 1/2*z**2.
-(z + 88)**2/2
Let c(p) = 23*p**4 - 389*p**3 + 390*p**2 + 24*p + 6. Let z(j) = -3*j**4 - j**3 - 4*j - 1. Let t(y) = c(y) + 6*z(y). Factor t(v).
5*v**2*(v - 78)*(v - 1)
Let g(l) be the first derivative of 4*l**6/33 + 42*l**5/55 - 25*l**4/2 - 100*l**3/11 + 1036*l**2/11 + 48*l + 3954. Solve g(i) = 0 for i.
-11, -2, -1/4, 2, 6
Let a(t) be the second derivative of t**6/70 + 3*t**5/14 - 19*t**4/28 - 26*t**3 - 126*t**2 - 2*t + 379. Factor a(w).
3*(w - 6)*(w + 2)*(w + 7)**2/7
Let i(c) = -9*c**2 - 87*c + 1. Let k be i(-9). Let q be ((-5)/55)/(10/k*-1). Find v, given that 0*v + 0 - 3/2*v**2 - v**3 + q*v**4 = 0.
-1, 0, 3
Let x(y) be the second derivative of -y**4/30 + 82*y**3/15 - 1056*y**2/5 - 4153*y - 2. Determine u so that x(u) = 0.
16, 66
Let h(m) be the third derivative of 0 + 23*m**2 + 1/2*m**6 - 37/30*m**5 + 0*m - 3/35*m**7 + 5/3*m**4 - 4/3*m**3. Factor h(a).
-2*(a - 1)**2*(3*a - 2)**2
Let b(k) = k - 7. Let c be b(9). Let j(z) = 252*z - 1259. Let s be j(5). Let s - 1/4*o**3 - o**c + 1/4*o = 0. Calculate o.
-4, -1, 1
Let x = -359350/7 + 51217. Let a = x - -119. Factor -a*y**2 + 0 - 2/7*y**3 + 4/7*y.
-2*y*(y - 1)*(y + 2)/7
Solve -1572*y + 672 - 267*y**2 - 15/2*y**3 = 0.
-28, -8, 2/5
Let s(p) be the first derivative of p**3/21 - 51*p**2/14 - 610*p/7 - 9978. Determine f, given that s(f) = 0.
-10, 61
Let x(p) be the first derivative of -p**5/60 - 5*p**4/6 - 99*p**2/2 + 215. Let j(q) be the second derivative of x(q). Find v such that j(v) = 0.
-20, 0
Let z(i) be the second derivative of -2 + 0*i**2 + 1/30*i**4 - 1/50*i**5 + 25*i + 2/15*i**3. Factor z(w).
-2*w*(w - 2)*(w + 1)/5
Let o(i) = 82*i - 2369. Let y be o(29). Let p(j) be the third derivative of -1/20*j**5 + 0 + 5/8*j**4 + 0*j**3 + 0*j + y*j**2. Determine h, given that p(h) = 0.
0, 5
Let l(b) = 4*b + 46. Let j be l(-11). Factor -4*q**2 - 1 - 1 + j + 4.
-4*(q - 1)*(q + 1)
Let w = -12535 - -12535. Suppose 13*r = 5*r + 24. Let 0*t - 3/8*t**5 + 9/8*t**4 + w*t**2 - 3/4*t**r + 0 = 0. What is t?
0, 1, 2
Factor 112207477 + 4*m**5 + 303276*m**3 - 27411456*m**2 - 2128*m**4 + 219803760*m - 639009877 + 2654040*m**2 + 81016*m**3.
4*(m - 174)**3*(m - 5)**2
Factor 2/5*f**2 - 4/5*f + 2/5*f**3 + 0.
2*f*(f - 1)*(f + 2)/5
Suppose -38*k + 14 = -290. Let s be 2/k*(-880)/(-374). Determine o so that s*o**2 - 2/17*o**3 - 18/17 - 6/17*o = 0.
-1, 3
Suppose 3836/11*m + 2/11*m**2 + 1839362/11 = 0. Calculate m.
-959
Let y(p) = -4 + 2*p**2 - 7*p - 11 + 6 - 3*p**2. Let l be y(-3). Let -l - 16*t + 3 + 18*t**3 - 14*t**3 = 0. Calculate t.
-2, 0, 2
Let c(o) be the second derivative of -3*o**5/80 + 9*o**4/16 - 3*o**3 + 15*o**2/2 - 1120*o. Factor c(k).
-3*(k - 5)*(k - 2)**2/4
Suppose 6*l + 23 = 47. Factor -8*v**4 - 10*v**l - 3*v**3 - 2*v**2 + 17*v**4.
-v**2*(v + 1)*(v + 2)
Suppose -c - 33*m = -35*m + 2, 2*c + 3*m - 10 = 0. Suppose 5/9*w + 2/3 - 1/9*w**3 - 2/9*w**c = 0. What is w?
-3, -1, 2
Let f(y) be the third derivative of 0*y - 17/20*y**5 + y**2 + 12 - 23/8*y**4 + 1/30*y**6 - 7/3*y**3. Determine q, given that f(q) = 0.
-1, -1/4, 14
Let o(s) be the first derivative of 7*s**3 - 36 - 111/2*s**2 + 30*s. Solve o(t) = 0 for t.
2/7, 5
Let x(m) = -9*m - 187. Let t be x(-21). Suppose -3*n + t*n - 1 = -a, -5*a = 4*n - 32. Factor 3/5*w**2 + 0*w + 1/5*w**n - 4/5.
(w - 1)*(w + 2)**2/5
Let h(g) be the first derivative of -98/15*g**5 - 4/3*g - 145 - 2*g**3 + 77/6*g**4 - 17/3*g**2. Determine v, given that h(v) = 0.
-2/7, -1/7, 1
Suppose 31*x + 114*x = 29*x - 5*x. Suppose 0*o - o**3 - o**2 + x + 1/4*o**4 + 1/4*o**5 = 0. Calculate o.
-2, -1, 0, 2
Let g be (-32)/(-38)*(-6390)/(-8520). Let -2/19*q**5 - 10/19*q**4 + 8/19*q**2 + 16/19*q - g*q**3 + 0 = 0. What is q?
-2, 0, 1
Let n(t) be the first derivative of -13*t**4/14 - 92*t**3/21 - 4*t**2 + 48*t/7 + 1364. Determine f so that n(f) = 0.
-2, 6/13
Let o(r) = 2*r**5 + 22*r**4 + 228*r**3 + 550*r**2 + 494*r + 6. Let y(j) = 2*j**4 - 3*j**3 + j - 1. Let q(l) = -o(l) - 6*y(l). Solve q(a) = 0 for a.
-5, -2, 0
Let q(h) = -h**3 + 50*h**2 - 4. Let a(s) = -s**3 + 49*s**2 - 3. Let u = -173 - -170. Let j(k) = u*q(k) + 4*a(k). Factor j(n).
-n**2*(n - 46)
Factor 7*c - 79*c + 224*c - 5*c**2 + 293*c.
-5*c*(c - 89)
Let j(q) be the first derivative of -1/4*q**2 - 2/9*q**3 - 23 + 0*q - 1/24*q**4. Factor j(u).
-u*(u + 1)*(u + 3)/6
Suppose -2*r + 3*f + 37 = -0*r, 5*r - 3*f - 79 = 0. Determine y so that 5*y**5 - 14*y**2 - 35*y**4 - 27*y + 81*y**3 - 111*y**2 - 20 + r*y**3 + 107*y = 0.
1, 2
Let w(l) = l + 1. Let h(n) = 2*n + 56. Let k be h(-21). Let a(t) = t**2 - 4*t - 17. Let d(v) = k*w(v) + 2*a(v). Factor d(y).
2*(y - 2)*(y + 5)
Let