 0 - k*x**4 + 2*x - 5/2*x**2. Factor j(o).
-5*(o + 1)*(2*o + 1)
Let 100*o**2 - 5*o**3 - 15*o - 62*o**2 - 88*o**2 - 10*o**3 = 0. What is o?
-3, -1/3, 0
Suppose f + 6 = 3*c - 3*f, 12 = -4*f. Let y be (c + (-21)/(-18))*3/(-10). Factor 0*s + y*s**2 - 1.
(s - 2)*(s + 2)/4
Let d(l) = 4*l**5 - 4*l**4 + 56*l**3 - 8*l**2 - 48*l + 24. Let f(o) = -o**4 + o**3 - o**2 - 2*o + 1. Let t(h) = d(h) - 24*f(h). Factor t(v).
4*v**2*(v + 1)*(v + 2)**2
Let b(c) be the second derivative of -c**6/60 - 3*c**5/20 - c**4/8 + 5*c**3/6 + 4*c + 2. Factor b(i).
-i*(i - 1)*(i + 2)*(i + 5)/2
Find x such that -4/7*x**3 - 128/7 - 8*x + 68/7*x**2 = 0.
-1, 2, 16
Let c be (-16)/(-12)*(3/18)/((-10)/(-90)). Factor 1/7*u**5 - 1/7*u**3 + 1/7*u**c + 0 + 0*u - 1/7*u**4.
u**2*(u - 1)**2*(u + 1)/7
Let w be ((-189)/(-84))/((-1)/84). Let o = w - -193. Factor 2/3*b + 2/3*b**o - 2/3*b**3 + 0 - 2/3*b**2.
2*b*(b - 1)**2*(b + 1)/3
Let x = 108/11 + -1285/132. Let c(j) be the second derivative of 3/80*j**5 + x*j**4 - 1/4*j**2 - 6*j + 0 - 1/24*j**3. Factor c(r).
(r + 1)**2*(3*r - 2)/4
Suppose j = r - 0*j + 9, 5*j - 15 = 0. Let k be (-1)/(-2)*r/(-3). Factor -6*z + 6*z**2 + 5*z**3 + k + 1 - 7*z**3.
-2*(z - 1)**3
Let q = 889/255 + -52/15. Let f(s) be the second derivative of 0 + q*s**4 + 1/51*s**3 + 1/170*s**5 - 3*s + 0*s**2. Let f(g) = 0. Calculate g.
-1, 0
Let r(y) be the first derivative of -y**6/75 - 2*y**5/25 - y**4/5 - 4*y**3/15 - y**2/5 + 15*y - 9. Let d(u) be the first derivative of r(u). Solve d(c) = 0.
-1
Let r(i) = -5*i**2 - 4*i - 4. Let k(j) = -j**2 - j - 1. Let a = 100 - 96. Let f(g) = a*k(g) - r(g). Factor f(l).
l**2
Let c(a) be the first derivative of -2*a**3/63 - 4*a**2/3 - 45. Factor c(p).
-2*p*(p + 28)/21
Let h(p) = 12*p**3 - 100*p**2 + 204*p + 4. Let k(r) = -2*r**3 - 2*r**2 - r - 1. Let d(b) = h(b) + 4*k(b). Determine x, given that d(x) = 0.
0, 2, 25
Suppose 4*k - 25 = 167. Let g be k/(-90)*(-3)/2. Factor 2/5 + g*b + 2/5*b**2.
2*(b + 1)**2/5
Suppose -10 = 16*y - 21*y. Suppose 3*l - x = -y*x + 2, -2*l - 5*x = -10. Factor -1/3*v**3 + l + 2/3*v**2 - 1/3*v.
-v*(v - 1)**2/3
Let t = -25597/2 + 12812. What is o in 1/6*o**4 - 2*o**3 + t + 9*o**2 - 18*o = 0?
3
Let b = 9827/60 + -655/4. Let f(j) be the third derivative of -9*j**2 - b*j**5 + 0*j**3 + 1/30*j**6 + 0 - 1/6*j**4 + 1/105*j**7 + 0*j. Factor f(k).
2*k*(k - 1)*(k + 1)*(k + 2)
Let c(n) be the second derivative of -1/2*n**3 + 1/1440*n**6 + 1/80*n**5 + 0 + 0*n**2 + 3/32*n**4 + 2*n. Let b(q) be the second derivative of c(q). Factor b(s).
(s + 3)**2/4
Let g be 9 + 4 + -10 + 0 + 3. Let m be (6 - 28/g)*1/2. Factor 0 + m*r - 8/3*r**2.
-2*r*(4*r - 1)/3
Let p(s) be the third derivative of 1/540*s**6 + 4*s**2 + 0*s**3 + 0 + 0*s - 1/270*s**5 + 0*s**4. Determine f so that p(f) = 0.
0, 1
Let s(p) be the third derivative of -2/21*p**7 - 1/3*p**5 - 5/24*p**4 + 0*p + 14*p**2 + 0 + 0*p**3 - 1/4*p**6 - 5/336*p**8. Factor s(j).
-5*j*(j + 1)**4
Let 8*b**2 + 0 - 14/3*b**5 - 8/3*b - 8*b**4 + 22/3*b**3 = 0. What is b?
-2, -1, 0, 2/7, 1
Suppose -c = -2*q + 31, 5*q + 3*c - 81 = 2*c. Let y(l) = 4*l**4 - 60*l**2 - 40*l. Let f(p) = p**4 - 12*p**2 - 8*p. Let n(s) = q*f(s) - 3*y(s). Factor n(h).
4*h*(h - 2)*(h + 1)**2
Let q = 540 + -537. Find h such that -16/11 - 10/11*h**q + 2/11*h**4 + 12/11*h**2 + 8/11*h = 0.
-1, 2
Let q be ((-1048)/(-4454))/(-4*(-2)/136*2). Let -6 + 9/2*a - 3/4*a**q = 0. Calculate a.
2, 4
Let f(v) be the second derivative of v**6/10 + 24*v**5/5 + 143*v**4/2 + 240*v**3 + 675*v**2/2 - 168*v. Let f(s) = 0. Calculate s.
-15, -1
Let c be 4*(-1)/(-32) - (-162)/1008. Let u(l) be the first derivative of c*l**3 + 3/28*l**4 + 0*l + 6 + 0*l**2. Solve u(x) = 0.
-2, 0
Let r(p) be the second derivative of -p**5/5 - p**4 + 2*p**3/3 + 6*p**2 - 16*p + 1. Factor r(x).
-4*(x - 1)*(x + 1)*(x + 3)
Suppose 75 = 183*a - 117 - 357. Let 2/7*x**2 - 2/7*x**a - 8/7 + 8/7*x = 0. Calculate x.
-2, 1, 2
Let m(g) be the first derivative of g**6/30 - 19*g**5/25 + 4*g**4 + 20*g**3/3 + 44. Let m(c) = 0. Calculate c.
-1, 0, 10
Factor 9/8 + 1/8*y**2 + 5/4*y.
(y + 1)*(y + 9)/8
Suppose -399 = -7*c + 133. Let p be (2 - -4) + c/(-14). Factor -16/7*l - 24/7*l**2 - 16/7*l**3 - p - 4/7*l**4.
-4*(l + 1)**4/7
Factor -92/5*v**2 - 24/5*v**3 - 24*v - 10 - 2/5*v**4.
-2*(v + 1)**2*(v + 5)**2/5
Let t be 2 + (9/(81/(-36)))/2. Suppose 4*f = 5*w + 5, 0*w + f = w + 2. Factor 0*k - 1/4*k**5 + t - 5/4*k**w - 1/2*k**2 - k**4.
-k**2*(k + 1)**2*(k + 2)/4
Let s(v) be the third derivative of 8*v**2 + 1/60*v**5 + 5/42*v**7 - 1/12*v**6 + 0*v**3 + 0*v**4 + 0 + 0*v. Factor s(x).
x**2*(5*x - 1)**2
Let c(s) be the second derivative of -s**6/120 + s**5/10 + 3*s**4/2 - 7*s**3/3 + 29*s. Let j(v) be the second derivative of c(v). Determine r so that j(r) = 0.
-2, 6
Let a = -3/190 - -687/190. Factor -2/5*h**2 - a + 12/5*h.
-2*(h - 3)**2/5
Let c(t) be the first derivative of 4*t**3/3 + 14*t**2 - 392*t - 227. Factor c(i).
4*(i - 7)*(i + 14)
Determine p so that 5*p**2 - 4*p - 133 + 14*p - 42 = 0.
-7, 5
Let z = -10 - -7. Let l be 5/(((-15)/2)/z). Find c, given that 2/15*c**l + 0*c - 2/15*c**3 + 0 = 0.
0, 1
Let w(r) be the second derivative of r**4/4 - 9*r**3 + 51*r**2/2 + 27*r. Factor w(k).
3*(k - 17)*(k - 1)
Let r(h) be the third derivative of h**6/144 + h**5/72 - 5*h**4/16 - 5*h**3/4 + 246*h**2. Find t, given that r(t) = 0.
-3, -1, 3
Let i(p) be the first derivative of p**4/8 - 5*p**3/3 - 23*p**2/4 - 6*p + 57. Solve i(t) = 0.
-1, 12
Let y(r) be the second derivative of -1/4*r**5 - 28/75*r**6 + 0*r**3 - 8/105*r**7 + 0 + 0*r**2 - 1/20*r**4 - 29*r. Factor y(v).
-v**2*(v + 3)*(4*v + 1)**2/5
Let 68/11*q + 6 + 2/11*q**2 = 0. What is q?
-33, -1
Let q(t) = -2*t**2 - 11*t - 1. Let r(p) = -3*p**2 - 17*p - 1. Let k(w) = -8*q(w) + 5*r(w). Let m be k(-3). Factor 2*l**2 - 2*l + 2*l**m - 4 + 1 + 1.
2*(l - 1)*(l + 1)**2
Let y(f) be the second derivative of -f**4/6 - f**3/3 + 382*f. Factor y(l).
-2*l*(l + 1)
Let q = 53/2 + -155/6. Let x(f) = 8*f**3 - 47*f**2 + f - 40. Let r be x(6). Factor 2/3 - 4/3*i + q*i**r.
2*(i - 1)**2/3
Suppose 106 = 8*j - 86. Let a be ((-19)/(-114))/(2/j). Factor 1/5 - 1/5*c**4 + 2/5*c - 2/5*c**3 + 0*c**a.
-(c - 1)*(c + 1)**3/5
Suppose m - 2 = o, 5*m - 336 = -3*o - 310. Determine a so that -5/6*a**o - 7/6*a - 1/2 - 1/6*a**3 = 0.
-3, -1
Let p be (-2)/(-10) - 9/(-5). Suppose -p*o + 0 = -6. Suppose -x + x**3 - 3*x**2 + 0*x**3 + o*x = 0. Calculate x.
0, 1, 2
Let u(o) = -o**3 + o**2 - o + 2. Let c be u(0). Determine g so that -16 + 3*g**2 + 10*g**c - 44*g + 3*g**2 + 4 = 0.
-1/4, 3
Let w be (0 + 6/(-140))*(-9 + -7). Let s = w + -2/5. Factor 0 + s*a + 2/7*a**2.
2*a*(a + 1)/7
Let h(x) be the first derivative of -x + 3 + 0*x**2 - x**3 + 7/4*x**4. Let m(v) be the first derivative of h(v). Factor m(w).
3*w*(7*w - 2)
Suppose -3*c - 3*v + 18 = 0, -c = -3*v - 0*v + 10. Let r(z) be the first derivative of 0*z**5 + 0*z**3 + 0*z - 1/6*z**6 - 1/2*z**c + 1/2*z**4 + 2. Factor r(b).
-b*(b - 1)**2*(b + 1)**2
Suppose 0 = 2*r - r - 2*y, -r - 3*y + 5 = 0. Find p, given that -3*p**2 + 15*p**2 - 6*p**r - 5*p**2 - p = 0.
0, 1
Let f(o) be the third derivative of -o**8/252 - 4*o**7/105 + 105*o**2. What is k in f(k) = 0?
-6, 0
Let h(n) be the second derivative of 2/5*n**2 - 25*n + 1/10*n**4 + 0 + 1/3*n**3 - 1/50*n**5 - 1/75*n**6. Determine i, given that h(i) = 0.
-1, 2
Suppose -2*r = 8 - 12. Factor 5 - 18*n**r + 17*n**3 - 17 + 27*n - 14*n**3.
3*(n - 4)*(n - 1)**2
Let j be (-70)/(-15) - (1 - (-5)/(-15)). Let x = 20 - 18. Factor -4/7*o**x + 0 + 2/7*o - 2/7*o**5 + 0*o**3 + 4/7*o**j.
-2*o*(o - 1)**3*(o + 1)/7
Let c(a) = -15*a**3 + 23*a**2 - 3*a. Let v(b) = b**3 - b**2 + b. Let d = 5 - 4. Let k(f) = d*c(f) - 5*v(f). What is p in k(p) = 0?
0, 2/5, 1
Let o = 1481/2590 - 1/2590. Factor 6/7*i**3 + o*i + 10/7*i**2 + 0.
2*i*(i + 1)*(3*i + 2)/7
Let i(q) = 7*q - 12. Let f be i(2). Find v such that -16 - v - 7*v - 4*v - 4*v**2 + f*v**2 = 0.
-4, -2
Factor 1/7*o**2 - 30/7*o + 225/7.
(o - 15)**2/7
Let q(i) be the third derivative of i**5/150 - 7*i**4/60 + 2*i**3/5 + 132*i**2. Determine g so that q(g) = 0.
1, 6
Let m be ((-37)/((-222)/108))/(1*4). Determine k so that m*k**2 + 0*k - 3/2*k**3 - 6 = 0.
-1, 2
Factor -4/11*k**2 + 2/11*k + 0 + 4/11*k**4 + 0*k**3 - 2/11*k**5.
-2*k*(k - 1)**3*(k + 1)/11
Factor 425920 + 3170*p + 20088*p + 5*p**3 + 5782*p + 660*p**2