 Solve 50*v**2 - k*v**2 - 2*v + 11*v**3 - v**3 + 24*v + 6 = 0.
-1, -3/5
Let k(f) be the third derivative of -f**5/50 - f**4/60 + 33*f**2. Factor k(u).
-2*u*(3*u + 1)/5
Let q(o) be the third derivative of -o**8/168 - 19*o**7/105 - 13*o**6/12 - 77*o**5/30 - 5*o**4/2 - 6*o**2 + 5. Find a, given that q(a) = 0.
-15, -2, -1, 0
Let z be (-13 + 2 - -4)*-1. Let k(h) = -h**2 + 8*h - 4. Let d be k(z). Factor 0*u - 32*u**3 + 6*u**4 + 8*u**d + 4*u + 6*u**2 + 8*u**4.
2*u*(u - 1)**2*(7*u + 2)
Suppose -7*p + 24 = p. Factor 8*r**2 + 4*r**4 + 0*r + 4*r**2 + 0*r**2 + 4*r + 12*r**p.
4*r*(r + 1)**3
Suppose -59*m + 12 = -56*m. Let a be (-3 - (m - 4))/((-8)/6). Factor -6*h**2 - 4*h**3 - 1/4 - a*h.
-(h + 1)*(4*h + 1)**2/4
Let g(q) be the first derivative of 0*q - 3/5*q**3 + 3/10*q**2 - 5 + 3/10*q**4. Find p, given that g(p) = 0.
0, 1/2, 1
Let t(n) = 16*n**3 - 11*n**2 - 26*n + 1. Let s(q) = -3*q**3 + 2*q**2 + 5*q. Suppose -10*f = -144 + 474. Let r(o) = f*s(o) - 6*t(o). Let r(i) = 0. What is i?
-1, 2
Let g(a) be the first derivative of -4*a**3/15 - 2*a**2 - 24*a/5 - 7. Factor g(y).
-4*(y + 2)*(y + 3)/5
Solve 19 + 39 + l**2 + 2*l**2 - 16 + 49*l - 4*l = 0.
-14, -1
Let o(d) be the second derivative of d**6/30 + d**5/4 + d**4/2 - 2*d**3/3 - 4*d**2 - d - 16. Factor o(r).
(r - 1)*(r + 2)**3
Factor 68/7*v + 60/7 + 4/7*v**2 - 4/7*v**3.
-4*(v - 5)*(v + 1)*(v + 3)/7
Let o(x) be the first derivative of -2*x**3/5 - 246*x**2/5 - 10086*x/5 - 29. Factor o(b).
-6*(b + 41)**2/5
Let v(i) be the third derivative of -1/40*i**5 + 0 - 1/16*i**3 + 0*i - 5/64*i**4 - 17*i**2. Find g such that v(g) = 0.
-1, -1/4
Let q(t) be the third derivative of -t**8/3360 + t**7/840 - t**6/720 - 17*t**3/6 - 17*t**2. Let u(r) be the first derivative of q(r). Factor u(m).
-m**2*(m - 1)**2/2
Let p = -8 + 10. Factor -n - n + 25*n**2 - 23*n**p.
2*n*(n - 1)
Factor 0 - 1/4*r**4 - 3/4*r**3 + 1/4*r**5 - 1/2*r + 5/4*r**2.
r*(r - 1)**3*(r + 2)/4
Let w(p) be the first derivative of p**6/120 + 11*p**5/20 + 121*p**4/8 + 1331*p**3/6 + 23*p**2/2 + 8. Let i(l) be the second derivative of w(l). Factor i(a).
(a + 11)**3
Let d be ((208/24)/(-13))/(-3 - 0). Determine i so that d*i**2 + 2/3 - 8/9*i = 0.
1, 3
Let o(v) be the third derivative of 3*v**8/112 - 47*v**7/7 - 63*v**6/4 - 142*v**5/9 - 1895*v**4/216 - 79*v**3/27 - 25*v**2 - 6*v. Factor o(d).
(d - 158)*(3*d + 1)**4/9
Let t = 20 + -17. Suppose 0*c - 12 = -t*c. Factor 0*h**3 + 2*h**c - 4*h**3 + 3*h**2 - h**2.
2*h**2*(h - 1)**2
Let -8/3*m + 14/9*m**2 - 8/9 = 0. Calculate m.
-2/7, 2
Let i(m) be the second derivative of m**8/1512 - m**7/945 - m**6/540 + m**5/270 + 9*m**2 - 4*m. Let t(c) be the first derivative of i(c). Factor t(l).
2*l**2*(l - 1)**2*(l + 1)/9
Suppose 0 = t, 0 = -0*a + 4*a - 2*t + 3*t. Let s(k) be the first derivative of a*k + 0*k**2 + 1 + 0*k**3 - 1/2*k**4. Let s(z) = 0. What is z?
0
Let p(b) be the third derivative of 1/24*b**4 + 0*b**6 - 1/30*b**5 + 0*b**3 + 0 - 1/336*b**8 + 1/105*b**7 + 5*b**2 + 0*b. Factor p(y).
-y*(y - 1)**3*(y + 1)
Let j(x) = x**4 + 39*x**3 - 12*x**2 + 12*x + 4. Let o(r) = -r**4 - 78*r**3 + 25*r**2 - 27*r - 9. Let n(z) = -9*j(z) - 4*o(z). Determine d, given that n(d) = 0.
-8, 0, 1/5
Let p(s) = 25*s**2 + 41*s - 20. Let m(n) = 72*n**2 + 124*n - 59. Let d(a) = 6*m(a) - 17*p(a). Factor d(q).
(q + 7)*(7*q - 2)
Let f(s) = 6*s**5 + 7*s**4 - 7*s**3 - 13*s**2 + 3*s + 3. Let b(g) = g**5 + g**4 - g**3 - g**2 + 2*g + 1. Let a(l) = 5*b(l) - f(l). Solve a(r) = 0.
-1, 2
Let x(w) = 28*w**2 - 668*w - 96. Let b be x(24). Factor 1/11*p**2 + b - 1/11*p + 1/11*p**3 - 1/11*p**4.
-p*(p - 1)**2*(p + 1)/11
Let f(w) be the first derivative of w**6/120 - w**5/80 - w**4/96 - 17*w**2/2 - 6. Let s(i) be the second derivative of f(i). Factor s(j).
j*(j - 1)*(4*j + 1)/4
Let k(f) = f**2 + 45*f - 194. Let d be k(4). Factor 0 + d*g + 2/3*g**2.
2*g*(g + 3)/3
Let h(t) = -t**2 - 21*t - 32. Let v be h(-19). Factor 15*s + v*s**2 - 4*s**2 - 5*s**2 + 18.
-3*(s - 6)*(s + 1)
Let n(o) be the second derivative of o**5/5 + 13*o**4/3 - 28*o**3/3 + 13*o - 3. Factor n(z).
4*z*(z - 1)*(z + 14)
Let m(b) be the second derivative of b**4/96 + 11*b**3/6 + 87*b**2/16 + 286*b + 2. Determine p so that m(p) = 0.
-87, -1
Let o(y) = -y - 1. Let a(q) = 10*q**2 - 14*q + 13. Let j(m) = -a(m) + o(m). Let x(w) = w**2 - w + 1. Let s(f) = 4*j(f) + 44*x(f). Factor s(r).
4*(r - 1)*(r + 3)
Factor -2 - 25/2*d - 3*d**2.
-(d + 4)*(6*d + 1)/2
Let x be -3 - (-2 + -5) - 2. Let 20*w - 4*w**2 + 11*w**x - 3*w**2 + 4 + 12*w**2 = 0. What is w?
-1, -1/4
Suppose 3*k - 14 = -u + 8*k, -u + 4*k + 12 = 0. Factor 2*r**4 + 2*r**2 - 2*r**3 - u - 6*r - 5*r**3 + 13*r**3.
2*(r - 1)*(r + 1)**2*(r + 2)
Let h(v) be the second derivative of 0 + 0*v**2 + 0*v**3 - 8*v + 3/40*v**5 + 1/40*v**6 + 1/16*v**4. Let h(l) = 0. What is l?
-1, 0
Let c(k) be the second derivative of -k**5/40 - 19*k**4/24 - 35*k**3/12 - 17*k**2/4 + 88*k + 2. What is j in c(j) = 0?
-17, -1
Determine n, given that 3/4*n**3 + 36*n - 33 - 45/4*n**2 = 0.
2, 11
Let i = -55021/5 + 11006. What is j in 2*j + 1/5 + i*j**2 = 0?
-1, -1/9
Let o(x) = 2*x**2 + 10*x. Let b(p) = p**2 + p + 1. Suppose 35 = 4*z - 3*s, -3*z - 5*s = -0*z - 19. Let i(t) = z*b(t) + o(t). Determine m so that i(m) = 0.
-1, -4/5
Let t(a) be the third derivative of a**8/420 - a**6/30 - a**5/15 + 8*a**3/3 + 13*a**2. Let f(p) be the first derivative of t(p). Factor f(l).
4*l*(l - 2)*(l + 1)**2
Suppose -41 = -441*j + 841. Suppose 4/9 + 2*g + 14/9*g**j = 0. What is g?
-1, -2/7
Suppose 0 = -3*b - o + 84, b + 19*o = 14*o + 42. Suppose 4*u - b + 7 = 0. Factor 0*w - 8/5*w**4 - 4/5*w**u + 0*w**2 - 4/5*w**3 + 0.
-4*w**3*(w + 1)**2/5
Let w be 207/39 - (40 - 35). What is x in -2/13 - 2/13*x**2 + w*x = 0?
1
Let i(j) be the first derivative of j**4/6 - j**2/3 - 79. Factor i(a).
2*a*(a - 1)*(a + 1)/3
Factor -36*x - 2 + 51*x + 2 + 70*x**2.
5*x*(14*x + 3)
Let m(i) be the first derivative of i**5/12 - 5*i**4/12 - 5*i**3/18 + 5*i**2/2 - 2*i - 19. Let h(n) be the first derivative of m(n). What is u in h(u) = 0?
-1, 1, 3
Solve 6*f**4 - 213*f**2 + 141/2*f + 0 - 555/2*f**3 = 0.
-1, 0, 1/4, 47
Let m(d) = d**3 + 11*d**2 - 12*d + 6. Let k be m(-12). Solve k*o**3 + 1058*o**5 - 2*o**3 + 8*o**4 - 1054*o**5 = 0 for o.
-1, 0
Suppose -p = -5, 2*p + 7 = -r + 4*p. Factor -8 - d**3 - d**r + d**3 + 8*d**2 + 5*d**3 - 4*d.
4*(d - 1)*(d + 1)*(d + 2)
Let q(a) be the first derivative of a**6/6 + a**5/4 - 19*a**4/32 - a**3/3 + 11*a**2/16 - a/4 + 88. Solve q(u) = 0 for u.
-2, -1, 1/4, 1/2, 1
Suppose -8*q = -14*q + 84. Factor q + 20 - 38 - 2*z**2 - 6*z.
-2*(z + 1)*(z + 2)
Let x(t) = 2*t**3 - 81*t**2 + 44*t - 158. Let r be x(40). Solve r*o + 8/3*o**2 + 0 + 2/3*o**3 = 0.
-3, -1, 0
Let y(t) = -3*t**4 + 40*t**3 - 126*t**2 + 206*t - 89. Let z(l) = l**4 - 13*l**3 + 42*l**2 - 68*l + 30. Let f(m) = 2*y(m) + 7*z(m). Factor f(k).
(k - 4)**2*(k - 2)*(k - 1)
Let g be (0 - -2 - 2)/((-53)/(-53)). Let o(p) be the first derivative of 4*p - 1/4*p**4 - p**3 + g*p**2 - 11. Determine l, given that o(l) = 0.
-2, 1
Let f(w) = 10*w**2 + 28*w + 12. Let y(u) = -u**2 - 2*u. Let i(t) = -f(t) - 6*y(t). Find q, given that i(q) = 0.
-3, -1
Suppose -4*m = 2*v - 6, -2*m = 5*v + 2 - 1. Determine u, given that 2*u**3 + 75*u - 83*u - 4*u**4 + 6*u**3 + 4*u**m = 0.
-1, 0, 1, 2
Let w(f) be the second derivative of -7*f + 0*f**2 + 0 + 2/105*f**6 - 4/21*f**3 + 0*f**5 - 1/7*f**4. Let w(q) = 0. Calculate q.
-1, 0, 2
Let j(b) = -b**3 + b**2 - 1. Let y be 6/(-5)*5/(-2). Let h(s) = 4*s**3 - 5*s**2 - s + 5. Let a(t) = y*j(t) + h(t). Determine g, given that a(g) = 0.
-1, 1, 2
Let f be (((-25)/(-15))/(-5))/(2/42). Let q be 65/91 - (-3)/f. Determine s, given that -4/7*s - 2/7*s**2 - q = 0.
-1
Let o(i) = 2*i + 4. Let h be o(0). Solve -65*w + 16*w + 16*w**3 + h*w**5 - 16*w**4 + 8 + 6*w + 8*w**2 + 23*w = 0.
-1, 1, 2
Let x(l) = l**2 - l - 1. Let v(a) = 5*a**2 - 55*a - 110. Let s(g) = v(g) - 10*x(g). Factor s(q).
-5*(q + 4)*(q + 5)
Let p(l) be the second derivative of -1/21*l**4 - 10*l - 10/21*l**3 + 0*l**2 + 0. Solve p(k) = 0 for k.
-5, 0
Let f(t) be the third derivative of 0 - 1/84*t**4 - 1/420*t**6 + 18*t**2 + 0*t + 0*t**3 - 1/105*t**5. Factor f(c).
-2*c*(c + 1)**2/7
Let o(y) be the first derivative of -y**5/25 - y**4/5 + 7*y**3/15 + y**2 - 86. Factor o(r).
-r*(r - 2)*(r + 1)*(r + 5)/5
Let g(x) be 