*(q - 5)*(q + 1)**3/5
What is t in -26/21*t + 0 - 22/21*t**3 - 2/21*t**4 + 50/21*t**2 = 0?
-13, 0, 1
Let q(g) be the third derivative of g**5/210 - 19*g**4/14 + 1083*g**3/7 - 2*g**2 + 6*g. Factor q(n).
2*(n - 57)**2/7
Let 2*l**4 + 4/3*l + 4*l**2 + 1/3*l**5 + 0 + 13/3*l**3 = 0. Calculate l.
-2, -1, 0
Find s, given that -1472 + 2*s**2 - 2009 - 69*s - 49*s - 3*s**2 = 0.
-59
Let p = -8583/2 - -4298. Suppose -7/2*w - p*w**3 - 2*w**4 - 1/2 - 15/2*w**2 = 0. What is w?
-1, -1/4
Factor 1707*f**2 - 48*f + 2*f**4 - 1613*f**2 - 42*f**3 - 2*f**3 - 4*f**4.
-2*f*(f - 1)**2*(f + 24)
Let s(c) be the third derivative of 11*c**8/3360 + c**7/420 - 17*c**6/1200 - c**5/120 + c**4/40 - 2*c**2 + 8*c. Find j such that s(j) = 0.
-1, 0, 6/11, 1
Let x(n) = 4*n**3 - 4*n + 4. Let g(p) be the first derivative of p**4 - p**3/3 - 3*p**2/2 + 3*p + 11. Let o(i) = -4*g(i) + 3*x(i). Suppose o(v) = 0. What is v?
0, 1
Let r = -1313 - -1315. Let b(i) be the second derivative of 9/8*i**r + 1/8*i**3 + 1/80*i**5 + 0 - 5/48*i**4 - 10*i. Factor b(u).
(u - 3)**2*(u + 1)/4
Suppose 0 = -3*g - 5*r - 1, 0*g - g - r = -1. Factor k**4 + 57*k - 32*k - 23*k - 2*k**g - 3*k**2 + 2*k**2.
k*(k - 2)*(k - 1)*(k + 1)
Determine g so that -3/4*g**3 - 5/4*g**4 - 1/4*g**5 + 0 + 5/4*g**2 + g = 0.
-4, -1, 0, 1
Let k(j) = -6*j**2 - 10*j. Let w(b) = -3*b**2 - 3*b - 8. Let g(c) = c**2 + c + 3. Let f(d) = -11*g(d) - 4*w(d). Let p(a) = -4*f(a) - k(a). Factor p(h).
2*(h + 1)*(h + 2)
Let -2/11*u**2 + 0 - 112/11*u = 0. Calculate u.
-56, 0
Let l(f) = -2*f + 2 + 1 + 6*f - f. Let x be l(-1). Factor x + 0*j - 2/9*j**3 + 2/3*j**2.
-2*j**2*(j - 3)/9
Let x(p) be the first derivative of -8*p**5/35 - 5*p**4/14 - 2*p**3/21 - 91. Solve x(i) = 0 for i.
-1, -1/4, 0
Let u(g) be the third derivative of -g**7/6 - 3*g**6/8 + g**5 + 5*g**4/6 - 40*g**2. Factor u(c).
-5*c*(c - 1)*(c + 2)*(7*c + 2)
Let a = -37 + 39. Find l, given that l**2 - l**5 + l - 2*l**4 - 6*l**a + 7*l**2 = 0.
-1, 0, 1
Let f be (((-87912)/3626)/99)/(1/(-7)*2). Factor -6/7*m + 4/7 - f*m**2 + 4/7*m**3.
2*(m - 2)*(m + 1)*(2*m - 1)/7
Let k(o) be the first derivative of 0*o**2 - 39 + 0*o + 8/9*o**3 + 2/15*o**5 - 2/3*o**4. Factor k(s).
2*s**2*(s - 2)**2/3
Let b(n) be the third derivative of -n**5/510 - 9*n**4/34 - 406*n**2. Factor b(w).
-2*w*(w + 54)/17
Find l such that -726/5 + 132/5*l - 6/5*l**2 = 0.
11
Let k(u) be the second derivative of 0*u**2 + 0*u**3 - 1/25*u**5 + 0 - 4*u - 1/5*u**4. Find d such that k(d) = 0.
-3, 0
Factor 4/3*m**3 - 2 - 4/3*m + 16/9*m**2 + 2/9*m**4.
2*(m - 1)*(m + 1)*(m + 3)**2/9
Suppose 5*v - v - 5*u - 201 = 0, v = -u + 39. Let w(x) = x. Let i(b) = -b**3 + b**2 + 13*b. Let d(h) = v*w(h) - 4*i(h). Find s, given that d(s) = 0.
-1, 0, 2
Let t(p) = -p**3 - 42*p**2 + 56*p + 561. Let z be t(-43). Let m = 83/155 - -2/31. Factor m*b**z + 0*b - 4/5 + 1/5*b**3.
(b - 1)*(b + 2)**2/5
Let j(t) be the third derivative of 1/360*t**6 + 0 + 1/45*t**5 - 4*t**2 + 0*t**3 + 0*t + 0*t**4. Factor j(f).
f**2*(f + 4)/3
Let t = 39 + -27. Factor 0*h**3 - 5 - 18*h - 2*h**3 + 8 + 5 + t*h**2.
-2*(h - 4)*(h - 1)**2
Let f(a) be the first derivative of -4*a - 4/3*a**3 + 4*a**2 - 15. Factor f(h).
-4*(h - 1)**2
Let h(t) be the third derivative of -t**8/784 - 13*t**7/490 - 3*t**6/20 - 29*t**5/70 - 37*t**4/56 - 9*t**3/14 - 173*t**2. Solve h(d) = 0 for d.
-9, -1
Let k(l) be the first derivative of l**5/150 - l**3/15 - 2*l**2 - 4. Let t(r) be the second derivative of k(r). Find h, given that t(h) = 0.
-1, 1
Let z(p) be the second derivative of 0*p**2 + 0 + 7/4*p**4 + 3/4*p**5 + 2*p + p**3. Factor z(g).
3*g*(g + 1)*(5*g + 2)
Let t = -353/100 - -107/25. Suppose 3/4*a**2 - 1/4*a**3 - t*a + 1/4 = 0. Calculate a.
1
Let u(v) = v**2 + 14*v + 20. Let o be u(-12). Let k be (o - (-302)/63) + 8/(-36). Factor 8/7*r + 4/7 + k*r**2.
4*(r + 1)**2/7
Let s(b) be the third derivative of b**5/450 + b**4/30 - 3*b**3/5 - b**2 + 81*b. Factor s(o).
2*(o - 3)*(o + 9)/15
Let l(u) be the first derivative of -5/2*u**2 + 10 - 5*u**3 + 5/4*u**4 + 15*u. Factor l(r).
5*(r - 3)*(r - 1)*(r + 1)
Let a(h) = h + 8. Let f be a(-6). Let d = 268/3 - 86. Factor 2 + d*x + 4/3*x**f.
2*(x + 1)*(2*x + 3)/3
Solve 152*x**4 - 5*x**2 + 95*x - 77*x**4 - 95*x**3 - 70*x**4 = 0.
-1, 0, 1, 19
Let -f**2 + 34 - 84 - 11*f + 4*f**2 + 20 + 2*f = 0. Calculate f.
-2, 5
Determine s, given that -2/5*s**4 + 0*s + 0 + 6/5*s**3 - 4/5*s**2 = 0.
0, 1, 2
Let y(f) = 638*f**2 - 2026*f + 1568. Let p(x) = -318*x**2 + 1014*x - 784. Let c(r) = -5*p(r) - 3*y(r). Suppose c(h) = 0. What is h?
14/9
Factor -2/9*p**3 - 8/3*p - 16/9 - 4/3*p**2.
-2*(p + 2)**3/9
Let f = 9 - 7. Let t(v) = 3*v**5 + 5*v**4 - 11*v**3 + 3*v**2 + 5*v. Let w(c) = c**5 + 3*c**4 - 6*c**3 + 2*c**2 + 2*c. Let g(x) = f*t(x) - 5*w(x). Factor g(s).
s**2*(s - 2)**2*(s - 1)
Let d(b) be the second derivative of 11/42*b**3 + 0 + 1/140*b**5 + 2/7*b**2 - 37*b - 1/210*b**6 + 3/28*b**4. Suppose d(h) = 0. Calculate h.
-1, 4
Let o(k) be the first derivative of -k**5/5 + k**3/3 + 253. Factor o(c).
-c**2*(c - 1)*(c + 1)
Let j = -655 - -660. Let n(p) be the third derivative of 8*p**2 + 2/21*p**3 - 1/84*p**4 + 0 + 0*p - 1/210*p**j. Let n(k) = 0. Calculate k.
-2, 1
Let v(n) be the third derivative of -n**9/15120 - n**8/1680 - n**7/630 - 3*n**5/20 - 22*n**2. Let y(h) be the third derivative of v(h). What is i in y(i) = 0?
-2, -1, 0
Suppose -26 = 5*c + 4*x, 24 = 1608*c - 1605*c - 2*x. Determine b, given that -1/5*b**c - 144/5 + 24/5*b = 0.
12
Factor -20/3*z**2 - 2/3*z**5 - 4*z**4 - 2*z + 0 - 8*z**3.
-2*z*(z + 1)**3*(z + 3)/3
Let j(t) = -t**2 + 11*t - 13. Let x be j(12). Let z = -22 - x. Determine n, given that z*n + 0*n**2 + 2*n**3 - 6*n**3 - 4*n**2 + n + 4 = 0.
-1, 1
Let m(b) = -b**2 - 2*b + 66. Let r be m(0). Factor -a**5 + 1 - 1 + a**2 - 69*a**3 + r*a**3 + 3*a**4.
-a**2*(a - 1)**3
Let l(j) be the first derivative of -5*j**4/28 + 38*j**3/21 - 32*j**2/7 - 32*j/7 + 63. Factor l(s).
-(s - 4)**2*(5*s + 2)/7
Let o(m) be the second derivative of -m**6/10 + 18*m**5/5 - 48*m**4 + 256*m**3 + 72*m. Suppose o(p) = 0. Calculate p.
0, 8
Factor 10*t**2 - 28*t + 90*t + 13*t - 40.
5*(t + 8)*(2*t - 1)
Suppose -5*c - 12 = -4*t, -23 = -4*c - 7. Suppose -6*k + 2*k + t + 30*k**2 - 34*k**2 = 0. What is k?
-2, 1
Let g(k) be the second derivative of k**4 - 2/21*k**7 + 0 + 11*k + 0*k**3 + 0*k**2 + 2/3*k**6 - 7/5*k**5. Determine s so that g(s) = 0.
0, 1, 3
Solve 15/2*x - 5/2*x**4 + 5 - 5/2*x**2 - 15/2*x**3 = 0 for x.
-2, -1, 1
Let a(d) be the first derivative of -d**6/30 - 3*d**5/20 - d**4/4 - d**3/6 - 13*d + 16. Let x(t) be the first derivative of a(t). Determine o so that x(o) = 0.
-1, 0
Let k(n) be the second derivative of -n**5/12 - 5*n**4/6 - 5*n**3/2 - 11*n**2 - 23*n. Let u(o) be the first derivative of k(o). Suppose u(s) = 0. Calculate s.
-3, -1
Let d(w) = w**3 + 18*w**2 + 16*w + 17. Let g be d(-17). Let i be g/30 + 21/(-63). Suppose -2/5*b**2 - i + 6/5*b = 0. What is b?
1, 2
Let c = 285/578 + 2/289. Factor -2*y + 2/3 - c*y**4 - 1/6*y**3 + 11/6*y**2 + 1/6*y**5.
(y - 2)*(y - 1)**3*(y + 2)/6
Let f(u) be the second derivative of u**5/150 + u**4/20 + 2*u**3/15 + 3*u**2 - 9*u. Let j(h) be the first derivative of f(h). Let j(a) = 0. What is a?
-2, -1
Let s(q) be the third derivative of q**6/2520 - q**5/168 + q**4/42 - q**3/6 - 12*q**2. Let f(n) be the first derivative of s(n). Factor f(g).
(g - 4)*(g - 1)/7
Let l(k) be the third derivative of -k**5/12 - 65*k**4/24 + 35*k**3/3 + 252*k**2. Factor l(a).
-5*(a - 1)*(a + 14)
Let w(n) be the third derivative of 0*n**3 + 25/168*n**4 + 1/840*n**6 + 0 + 1/42*n**5 + 0*n + 9*n**2. Let w(d) = 0. What is d?
-5, 0
Suppose 2*f - f = -2*g + 20, -4*f = -g - 35. Factor -10*o - 4*o**2 - o**2 + f - 6 + 11.
-5*(o - 1)*(o + 3)
Determine w, given that 393*w**4 + 384*w**2 - 126*w**4 + 303*w + 147*w**3 - 130*w**4 + 54 - 125*w**4 = 0.
-9, -2, -1, -1/4
Determine y so that 4/3*y**5 + 12*y**2 - 6*y**3 - 22/3*y**4 + 0*y + 0 = 0.
-3/2, 0, 1, 6
Let s(m) be the second derivative of m**4/12 + 7*m**3/2 + 27*m**2 - 763*m. Factor s(n).
(n + 3)*(n + 18)
Suppose -5*t + 15 = 0, -3*t = b - 0*b - 196. Let i = b + -185. Factor 0*m + 0 - 1/2*m**3 + 1/2*m**i.
-m**2*(m - 1)/2
Let g(o) be the second derivative of 0 - 1/300*o**6 + o + 0*o**3 + 1/120*o**4 + 0*o**5 + 0*o**2. Suppose g(h) = 0. What is h?
-1, 0, 1
Let b = -8 + 4. L