*(c - 1)*(c + 1)
Let q(n) be the third derivative of n**7/525 - n**6/50 + 3*n**5/50 - 24*n**2 - n. Suppose q(a) = 0. What is a?
0, 3
Suppose g = -3, -n - 3*g + 18 = -8*g. Let j(a) be the second derivative of -4/33*a**n + 3/55*a**6 + 0*a**2 - 4/33*a**4 + 3/110*a**5 + 2*a + 0. Factor j(k).
2*k*(k - 1)*(3*k + 2)**2/11
Suppose 7 = 4*r - l, -r - 8*l + 4*l = -6. Determine x so that 31*x**2 + 8*x - 43*x**2 - 40*x**r + 8*x - 14*x**3 = 0.
-4, 0, 2/7
Factor 25/2 - 20*c + 3*c**2 + 1/2*c**4 + 4*c**3.
(c - 1)**2*(c + 5)**2/2
Suppose d = 3*w + 3*d - 15, 4*w = 5*d - 3. Suppose -51 - 45 = -8*n. Factor -3*o + 12*o**2 + n*o**4 + 6*o + w*o**5 + 0*o + 18*o**3.
3*o*(o + 1)**4
Let v be (-2)/4 - 27/(-14). Let i = -2654 + 2656. Suppose 8/7*s**3 - v*s + 4/7*s**i + 4/7 + 2/7*s**5 - 8/7*s**4 = 0. Calculate s.
-1, 1, 2
Let y(o) = -o**2 - 80*o - 442. Let i be y(-6). Let 0 + 1/3*c**i + 1/3*c = 0. What is c?
-1, 0
Suppose -2/5*n**4 + 2*n**3 + 0 - 8/5*n**2 + 0*n = 0. What is n?
0, 1, 4
Let h(a) be the first derivative of 2*a**5/45 - a**4/6 - 2*a**3/9 + 7*a**2/9 + 4*a/3 + 182. Find u, given that h(u) = 0.
-1, 2, 3
Let g = -24 - -27. Let n(l) be the first derivative of 1/4*l**6 + 9/8*l**4 - 4 + 9/10*l**5 + 0*l + 1/2*l**g + 0*l**2. Solve n(b) = 0 for b.
-1, 0
Find c such that -c - 2*c**3 + 3*c + 115 + 8*c**2 - 57 - 12*c - 54 = 0.
1, 2
Let z(j) be the second derivative of 2*j**6/105 + 8*j**5/7 + 400*j**4/21 + 345*j. What is d in z(d) = 0?
-20, 0
Let k(c) be the second derivative of -c**4/18 - 52*c**3/3 - 2028*c**2 - 858*c. Factor k(o).
-2*(o + 78)**2/3
Factor -86/19*z**2 + 322/19*z + 6/19*z**3 - 98/19.
2*(z - 7)**2*(3*z - 1)/19
Let p(u) = 6*u**4 + 479*u**3 + 500*u**2 - 501*u - 550. Let w(q) = -q**4 - 96*q**3 - 100*q**2 + 100*q + 109. Let g(f) = 6*p(f) + 33*w(f). Factor g(d).
3*(d - 99)*(d - 1)*(d + 1)**2
Solve 0*y - 4/9*y**3 + 0*y**2 - 2/9*y**4 + 0 + 2/9*y**5 = 0 for y.
-1, 0, 2
Let j(n) = -n**3 - 5*n**2 + 30*n + 138. Let t be j(-4). What is l in -2/3 - 2/3*l**t - 4/3*l = 0?
-1
Let u be 49/72 + 865/(-1384). Let k(j) be the first derivative of -3 + 0*j + u*j**3 + 0*j**2. Factor k(b).
b**2/6
Let f(p) = p**5 - p**4 + p**3 - p**2 + p - 1. Let k = -19 + 21. Let x(c) = c**5 + 8*c**4 - 5*c**3 - 4*c**2 - 2*c + 2. Let h(w) = k*f(w) + x(w). Factor h(r).
3*r**2*(r - 1)*(r + 1)*(r + 2)
Let i = 1899 - 1894. Let g(u) be the first derivative of -3/2*u**4 + 0*u + 1/5*u**i - 4 - 4*u**2 + 4*u**3. Factor g(h).
h*(h - 2)**3
Factor -222/5*x + 24/5*x**3 + 6/5*x**5 + 48/5*x**4 - 156/5*x**2 - 84/5.
6*(x - 2)*(x + 1)**3*(x + 7)/5
Let q(p) = -901*p - 1802. Let a be q(-2). What is j in -10/7*j**3 + a + 0*j - 8/7*j**2 - 2/7*j**4 = 0?
-4, -1, 0
Suppose 131 - 257 = -21*z. Let g(u) be the second derivative of 0*u**2 - 2/5*u**5 - 1/15*u**6 - 2/3*u**3 - 5/6*u**4 - z*u + 0. Factor g(t).
-2*t*(t + 1)**2*(t + 2)
Suppose 0 = n - 5 + 3. Factor -y**3 - 23*y**2 + 12*y**n + 7*y**2 + 5*y**3.
4*y**2*(y - 1)
Let u(f) be the first derivative of -5*f**6/6 - 2*f**5 + 10*f**3/3 + 5*f**2/2 + 403. Factor u(n).
-5*n*(n - 1)*(n + 1)**3
Let v(r) be the third derivative of r**8/3024 - 4*r**7/945 - r**6/360 + 13*r**5/270 - 2*r**4/27 + 13*r**2 - 11*r. Factor v(y).
y*(y - 8)*(y - 1)**2*(y + 2)/9
Let t be 446/144 + (-27)/36*4. Let i(h) be the third derivative of -7/360*h**6 - 1/90*h**5 + 0*h + 1/9*h**3 + 0 - 3*h**2 + t*h**4. Determine a so that i(a) = 0.
-1, -2/7, 1
Suppose -4*f - 2*b = -48, -3*f + b = -f - 20. Determine g so that -2*g**3 - g**5 + f*g**2 - g**3 - 6*g**2 + 2*g + 2*g - 5*g**4 = 0.
-4, -1, 0, 1
Determine m so that 2/15*m**3 + 6/5*m**2 + 544/15 - 16*m = 0.
-17, 4
Let u be 55/(-165) + (-7)/(-3). Suppose 0*b**3 + 0*b**u + 1/5*b**5 + 0*b + 0 - 1/5*b**4 = 0. Calculate b.
0, 1
Let f = -1552 - -1552. Let j(q) be the third derivative of -12*q**2 + 1/315*q**6 + f*q + 0 + 1/63*q**3 + 1/63*q**4 + 1/2205*q**7 + 1/105*q**5. Factor j(x).
2*(x + 1)**4/21
Let j be 21/4 + (-6 - -1)*1. Let t(p) be the second derivative of -j*p**2 - 1/24*p**4 + 1/6*p**3 - 3*p + 0. Factor t(y).
-(y - 1)**2/2
Let h(q) be the second derivative of 0 + 1/10*q**6 - 3*q - 1/4*q**4 - 3/20*q**5 + 1/2*q**3 + 0*q**2. Determine k so that h(k) = 0.
-1, 0, 1
Let b = 98 - 94. Determine z so that -8*z**2 - 11*z + 37 - 37 + b*z**3 - z = 0.
-1, 0, 3
Let v(i) be the second derivative of 5*i**7/126 - 41*i**6/45 + 17*i**5/60 + 64*i**4/9 - 130*i**3/9 + 32*i**2/3 + 507*i. Let v(z) = 0. Calculate z.
-2, 2/5, 1, 16
Let c(a) be the first derivative of -2*a**3/21 + 5*a**2/7 + 145. Solve c(k) = 0 for k.
0, 5
Let q(g) be the second derivative of 15*g**7/14 + g**6 - 7*g**5/2 - 10*g**4/3 + 25*g**3/6 + 5*g**2 + 4*g + 12. Suppose q(j) = 0. What is j?
-1, -1/3, 2/3, 1
Let w(a) be the second derivative of -27*a**5/20 - 11*a**4/4 - a**3 + 58*a - 2. What is j in w(j) = 0?
-1, -2/9, 0
Let c(b) be the first derivative of -27 + 4/25*b**5 + 0*b**4 - 4/15*b**3 + 0*b + 1/15*b**6 - 1/5*b**2. Factor c(v).
2*v*(v - 1)*(v + 1)**3/5
Let c be (-140)/(13 - -1)*(-4)/10. Let b(p) be the first derivative of -5/6*p**3 + 0*p + 3/2*p**c - 8 - 1/2*p**2. Let b(v) = 0. Calculate v.
-1/4, 0, 2/3
Suppose 58*v = 51*v + 28. Let d(l) be the third derivative of 0 + 3*l**2 + 1/240*l**6 + 1/30*l**5 + 1/6*l**3 + 0*l + 5/48*l**v. Factor d(x).
(x + 1)**2*(x + 2)/2
What is p in 2*p + 1/3*p**2 + 0 - 1/9*p**3 = 0?
-3, 0, 6
Find q, given that -2/15*q**3 - 6*q - 8/5*q**2 - 20/3 = 0.
-5, -2
Let u(v) be the third derivative of v**8/672 - v**7/70 + 7*v**6/120 - 2*v**5/15 + 3*v**4/16 - v**3/6 - 205*v**2. Determine s so that u(s) = 0.
1, 2
Suppose -4*j + 0*j - i = 1, -2*i - 2 = j. Suppose 4*p + 4*v + 4 = -j, -3*p + 27 = -3*v. Solve 4*y + 2*y**3 - p*y**2 + y - 3*y = 0 for y.
0, 1
Let b(o) be the first derivative of 4/3*o**2 + 8/3*o + 2/9*o**3 + 25. Factor b(l).
2*(l + 2)**2/3
Let c(n) = -4*n**2 + 4*n - 6. Let d = -33 + 38. Let w(k) = -9*k**2 + 8*k - 14. Let o(a) = d*c(a) - 2*w(a). Factor o(y).
-2*(y - 1)**2
Let r = -1231 + 49243/40. Let z(l) be the second derivative of -l + 0 - r*l**5 - 1/60*l**6 + 0*l**2 - 1/8*l**4 - 1/12*l**3. Let z(s) = 0. Calculate s.
-1, 0
Let x be 2 + (-66)/(-15) - -5*(-42)/35. Find y, given that -x*y**2 - 12/5*y - 16/5 = 0.
-4, -2
Factor -13/2*l + 11 + 1/2*l**2.
(l - 11)*(l - 2)/2
Find o, given that 4*o**5 - 8*o**4 - 2*o**3 + 8*o**3 + 8*o**2 - 10*o**3 = 0.
-1, 0, 1, 2
Let j(o) = o + 9*o + 72*o**2 + 25*o**3 - 27*o**2 + 10*o**4 - 10. Let x(l) = -l**3 + l**2 - 1. Let f(p) = j(p) - 10*x(p). Factor f(b).
5*b*(b + 1)*(b + 2)*(2*b + 1)
Let d be (5 + (2 - (-618)/(-90)))*65/13. Let 2*s**3 + 0 + 0*s**2 - 8/3*s + d*s**4 = 0. What is s?
-2, 0, 1
Let h(r) be the first derivative of -1/12*r**3 - 9 + 0*r**2 + 0*r. Factor h(s).
-s**2/4
Let c(q) be the second derivative of q**7/252 + q**6/36 - 41*q**5/120 + 83*q**4/72 - 17*q**3/9 + 5*q**2/3 - 18*q + 1. Solve c(m) = 0.
-10, 1, 2
Let s(t) = -t**2 - t + 1. Let q(a) = -8*a**2 - 22*a + 41. Let g(v) = -3*q(v) + 21*s(v). Factor g(x).
3*(x - 2)*(x + 17)
Let 7/8*v**2 - 1/8*v**3 - 2*v + 3/2 = 0. Calculate v.
2, 3
Solve 99*q - 46*q + 2*q**2 - 55*q = 0 for q.
0, 1
Let p(d) be the second derivative of -1/5*d**2 + 1/25*d**5 + 1/105*d**7 + 1/25*d**6 - 1/5*d**3 - 28*d + 0 - 1/15*d**4. Factor p(o).
2*(o - 1)*(o + 1)**4/5
Suppose 3 - 1 = w. Suppose 0*c = w*m + 3*c - 4, c + 7 = m. Factor 0*r**5 - 3*r**m + 6*r**5 + 0*r**4 - r**4.
r**4*(3*r - 1)
Let 1/2*b**2 - 16 - 31/2*b = 0. What is b?
-1, 32
Let f(v) = v**2 - 37*v + 6. Let g be f(37). Let r(t) be the third derivative of 2/15*t**5 + 0*t + 1/60*t**g + 1/3*t**4 - t**2 + 0*t**3 + 0. Factor r(l).
2*l*(l + 2)**2
Find l such that -1/4*l**4 + 0*l**3 + 1/2*l + 3/4*l**2 + 0 = 0.
-1, 0, 2
Determine l so that 20 + 0*l**4 - 65/3*l - 20*l**2 + 70/3*l**3 - 5/3*l**5 = 0.
-4, -1, 1, 3
Let x(p) be the second derivative of 20/3*p**3 + 5/12*p**4 - 1 + 35/2*p**2 + 11*p. Determine w, given that x(w) = 0.
-7, -1
Let y(o) be the third derivative of 0 + 0*o + 0*o**3 + 1/10*o**7 + o**5 - 1/2*o**4 + 26*o**2 - 23/40*o**6. Factor y(s).
3*s*(s - 2)*(s - 1)*(7*s - 2)
What is z in -242/3 + 1342/9*z - 188/9*z**3 - 52*z**2 + 14/3*z**4 - 2/9*z**5 = 0?
-3, 1, 11
Let i(o) = -2*o**2 + 5. Let h(r) = r**2 - 2. Suppose -2*z - 3*z = -3*n - 30, 5*z = 2*n + 25. Let k(x) = n*h(x) - 2*i(x). Solve k(g) = 0 for g.
0
Let f(d) be the first derivative of 112/25*d**5 - 143/5*d**4 + 98/15*d**6 