320 + a**7/2016 + a**6/240 + 13*a**5/60 + 8*a**2. Let s(y) be the third derivative of j(y). Factor s(r).
(r + 2)*(r + 3)/2
Let q(r) be the third derivative of r**6/60 - r**5/6 + 2*r**4/3 - 4*r**3/3 - 520*r**2 + 2*r. Factor q(g).
2*(g - 2)**2*(g - 1)
Let v = 1036/3 + -340. Suppose 2/3*d**2 + 32/3 + v*d = 0. Calculate d.
-4
Suppose 0*g - b = -3*g + 37, 0 = -2*g + 2*b + 26. Suppose 0 = -4*p - 2*c, -c - g = 2*c. Factor -2*f**2 - 10*f**2 + 5*f**3 - p + f**3 + 10*f - f**4 - 1.
-(f - 3)*(f - 1)**3
Let a(t) be the second derivative of -t**6/15 - 13*t**5/40 - 5*t**4/8 - 7*t**3/12 - t**2/4 + 46*t - 2. Determine j, given that a(j) = 0.
-1, -1/4
Let b(g) = 17*g**4 - 47*g**3 - 104*g**2 + 52*g + 8. Let t(d) = 11*d**4 - 31*d**3 - 69*d**2 + 34*d + 5. Let x(q) = 5*b(q) - 8*t(q). Factor x(k).
-k*(k - 6)*(k + 2)*(3*k - 1)
Factor 8/5*y + 2/5*y**3 + 0 - 2*y**2.
2*y*(y - 4)*(y - 1)/5
Let q(z) be the second derivative of -z**6/10 + 9*z**5/10 - 3*z**4 + 4*z**3 + 10*z + 2. Factor q(s).
-3*s*(s - 2)**3
Suppose -54*b = -50*b - 12. Let a be 1 - -1 - (-2 - -2). Factor -4*p**b + 5*p**3 - 2*p + a*p - p**5.
-p**3*(p - 1)*(p + 1)
Suppose c = -v + 3 + 2, 2*c + 5*v = 22. Suppose w - 19 = -3*o - c, 5 = -5*w + 4*o. Factor -h**2 + 3*h**4 + 6*h**3 - 2*h**2 - 15*h**3 + 7*h - h + w*h**5.
3*h*(h - 1)**2*(h + 1)*(h + 2)
Let w be 7790/(-14) + (8/7)/4. Let h = w - -557. Suppose -h*b**2 + 0*b + 3/7*b**3 + 0 = 0. What is b?
0, 2
Let n(r) = -4*r**3 + 60*r**2 - 52*r**2 - 5 + 1. Let y(q) = 4*q**3 - 8*q**2 + 3. Let k(f) = 3*n(f) + 4*y(f). Let k(o) = 0. What is o?
0, 2
Find a such that -52*a**2 + 1092*a + 64596 + 34776 + 55*a**2 = 0.
-182
Let w = 649/8 - 645/8. Factor 1/6 - l**2 + w*l - 4/3*l**3.
-(l + 1)*(2*l - 1)*(4*l + 1)/6
Let r be 2/8*(48 - 45). Let f(x) be the first derivative of r*x**4 - x**3 + 3/5*x**5 - 3/2*x**2 + 0*x - 6. Suppose f(z) = 0. Calculate z.
-1, 0, 1
Let v(t) = t**2 - 2*t. Let d(k) = 3*k**2 + 33*k - 42. Let g(h) = d(h) - 6*v(h). Find j such that g(j) = 0.
1, 14
Suppose -2*q = -6 - 6. Let j be 21/49*(-3 + 20/q). What is h in -j*h + 2/7 + 1/7*h**3 - 2/7*h**2 = 0?
-1, 1, 2
Let f(y) = y**3 + 8*y**2 - 8*y + 8. Let w be f(-9). Let i be (-2)/(-8) + w + (-186)/(-120). Find x such that -i*x + 1/5*x**3 + 0 + 3/5*x**2 = 0.
-4, 0, 1
Let z(h) be the third derivative of -1/2*h**3 - 8*h**2 - 1/6*h**4 + 0*h - 1/60*h**5 + 0. Determine q, given that z(q) = 0.
-3, -1
Let k(o) be the third derivative of o**8/84 - 4*o**7/105 - o**6/10 + 4*o**5/15 + 2*o**4/3 - 8*o**2 + 4*o. Find c, given that k(c) = 0.
-1, 0, 2
Let y(j) be the second derivative of -2*j**7/21 - 4*j**6/15 + 2*j**4/3 + 2*j**3/3 - 134*j. Let y(k) = 0. Calculate k.
-1, 0, 1
Suppose 0 = 2*g + 42 - 50. Let 0*s + 146*s**5 - 4*s - 144*s**5 + 2*s**3 + 6*s**2 - 6*s**g = 0. What is s?
-1, 0, 1, 2
Let z(q) = 7*q + 1. Let p be z(1). Let v be (-4)/(-11) + -8 + p. Factor -v*f**2 + 4/11 - 2/11*f**3 + 2/11*f.
-2*(f - 1)*(f + 1)*(f + 2)/11
Suppose 0 = 2*z + 4*j - 70, -z - 2*z + j + 84 = 0. Solve 13*a + 5*a**3 + 16*a + 9*a**2 - z*a**2 - 10 - 4*a = 0 for a.
1, 2
Let l(p) be the first derivative of 0*p - 7*p**4 + 0*p**2 - 2*p**6 - 8/3*p**3 + 10 - 32/5*p**5. Let l(s) = 0. Calculate s.
-1, -2/3, 0
Let v be 5/(-17)*54/15. Let l = v + 173/51. Factor 2/3*f**3 - 1/3*f**5 - 2/3 + 2/3*f**4 - 8/3*f**2 + l*f.
-(f - 1)**4*(f + 2)/3
What is r in -36*r + 40*r + 2*r**2 - 30*r = 0?
0, 13
Let a be (-810)/(-14) - (3/(-21) - 0). Let f be (45 - 49) + (1 - a/(-18)). Factor 2/9*q**3 + f*q**2 - 2/9 - 2/9*q.
2*(q - 1)*(q + 1)**2/9
Let l(w) = 9*w**3 + 41*w**2 - 9*w - 49. Let b(j) = -10*j**3 - 40*j**2 + 10*j + 50. Let y(i) = -4*b(i) - 5*l(i). Factor y(a).
-5*(a - 1)*(a + 1)*(a + 9)
Let b(w) be the second derivative of 0*w**2 + 0 - 1/4*w**3 - 2*w + 3/8*w**4 + 1/20*w**6 - 9/40*w**5. Determine m so that b(m) = 0.
0, 1
Let f(g) be the second derivative of -3*g**5/40 - 2*g**4 - 13*g**3 - 36*g**2 - 64*g + 2. Factor f(z).
-3*(z + 2)**2*(z + 12)/2
Let d(x) = x**4 - 6*x**3 + 9*x**2 - 10*x + 6. Let g(i) = -146*i**3 + 8 - 3 - 10*i + 10*i**2 + 141*i**3. Let f(z) = -5*d(z) + 6*g(z). Factor f(w).
-5*w*(w - 1)**2*(w + 2)
Factor -10 + 221*f**2 - 16 - 2*f**3 + 2*f - 195*f**2.
-2*(f - 13)*(f - 1)*(f + 1)
Let x be (2/1)/2 - 1585/170. Let m = 150/17 + x. Let -1/6*p**2 - 2/3*p - m = 0. What is p?
-3, -1
Suppose 2/7*z**5 + 22/7*z**3 - 26/7*z**2 + 0 + 26/7*z**4 - 24/7*z = 0. Calculate z.
-12, -1, 0, 1
Let z(j) = -3*j**2 - 5*j - 20. Let v be z(-4). Let m be 64/v*6/(-4). Factor 0*h + 0 - 2/9*h**5 + 4/9*h**3 - 2/9*h**4 + 0*h**m.
-2*h**3*(h - 1)*(h + 2)/9
Suppose -2*m - 6*f = -f - 15, -1 = -m + 4*f. Suppose 2/9*w**m - 16/9*w**2 - 2/3*w**3 + 4/9*w**4 - 8/9*w + 0 = 0. What is w?
-2, -1, 0, 2
Suppose 5*f - z = 11, -4*f = -3*f - z + 1. Let b(i) be the third derivative of -i**3 - 1/5*i**5 + f*i**2 + 0*i - 5/8*i**4 + 0 - 1/40*i**6. Factor b(a).
-3*(a + 1)**2*(a + 2)
Suppose 69*g - 65*g = 72*g - 272. Determine w so that -3/5*w**5 - 21/5*w**g - 54/5*w**3 - 9/5 - 39/5*w - 66/5*w**2 = 0.
-3, -1
Suppose -g + 3*w - 7 = 6, -1 = -3*g + w. Let r = 1918 + -5753/3. Factor 0 - 1/3*h**3 + r*h**g + 2/3*h.
-h*(h - 2)*(h + 1)/3
Let q be (-88)/(-24) + 8 - 11. Factor 2*b + 4/3 + q*b**2.
2*(b + 1)*(b + 2)/3
Let l be 2 - 14 - -19 - 27/(-21) - 8. Factor 4/7*f + l + 2/7*f**2.
2*(f + 1)**2/7
Let t(x) be the first derivative of 1/4*x**4 - 1/6*x**2 + 1/9*x**6 + 22 - 1/3*x**5 + 0*x + 1/9*x**3. Factor t(a).
a*(a - 1)**3*(2*a + 1)/3
Let x(c) be the second derivative of -3*c**5/20 + 5*c**4/4 - c**3 - 12*c**2 + 4*c + 21. What is d in x(d) = 0?
-1, 2, 4
Let j = 69 + -48. Let w = 24 - j. Let 224*t + 4 - 36 - 293*t**2 - 130*t**4 + 18*t**5 + 352*t**w - 139*t**2 = 0. Calculate t.
2/9, 1, 2
Let k(i) = -11*i**2 - 21*i. Let r(b) = 120*b**2 + 230*b. Suppose -u = 3*a - 2*a + 61, 3*u + a = -191. Let l(x) = u*k(x) - 6*r(x). Find j such that l(j) = 0.
-3, 0
Factor -3/5*y**2 - 28/5*y + 4.
-(y + 10)*(3*y - 2)/5
Factor 1848*r + 38690*r**2 + 43663*r**2 + 8 + 24369*r**2.
2*(231*r + 2)**2
Let c be (-3 + -1 + 0)*2. Let r(s) = s**2 + 7*s - 6. Let v be r(c). Factor 12*q - 17*q - 23*q + 34*q**2 + 4 + 15*q**v.
(7*q - 2)**2
Let g(s) be the second derivative of 1/80*s**5 + 11/24*s**3 - 1/8*s**4 + 0 - 36*s - 3/4*s**2. Factor g(y).
(y - 3)*(y - 2)*(y - 1)/4
Suppose -5*r + 9 = -4*s, -4*s + 2*r + 2*r - 4 = 0. Solve 18*a + a**4 - 12*a**3 + a**2 - 2*a**2 - 2*a**2 - s*a**4 = 0.
-3, -2, 0, 1
Suppose -2*z + 72 = -2*w, -5*z = 20*w - 23*w - 180. Let b be (196/z - 5)*2. Factor 8/3*y**2 + 4/3*y**4 + 0 - b*y - 26/9*y**3 - 2/9*y**5.
-2*y*(y - 2)**2*(y - 1)**2/9
Let 1/3*d**2 + 2/3*d + 1/3 = 0. Calculate d.
-1
Factor 10070/3*d**3 + 2/3*d**5 + 278/3*d**4 + 28016/3*d + 9248/3 + 28562/3*d**2.
2*(d + 1)**3*(d + 68)**2/3
Find m, given that -84/11*m**2 - 2/11*m**4 - 80/11 - 136/11*m - 2*m**3 = 0.
-5, -2
Suppose 2*p = 5*r + 13, -2*p - 2*p + 59 = r. Suppose -2*s - u = 3*s - 19, 4*s - p = -2*u. Factor 0 + 0*k**3 + 0*k**2 + 0*k - 2/5*k**5 + 0*k**s.
-2*k**5/5
Let z(u) be the first derivative of -15/2*u**2 + 3/4*u**4 + 6*u + 23 + 3*u**3 - 3/5*u**5. Determine a so that z(a) = 0.
-2, 1
Suppose 29 = -7*r + 29. Let c(o) be the third derivative of 3/2*o**3 + 1/4*o**4 - 5*o**2 + 0*o + r - 1/20*o**5. Solve c(n) = 0 for n.
-1, 3
Suppose 1029*f - 1022*f - 14 = 0. Solve -2/3*b**f - 10/3*b - 4 = 0 for b.
-3, -2
Factor -14/3 - 4/3*i**2 + 19*i.
-(i - 14)*(4*i - 1)/3
Let j(h) be the third derivative of h**6/300 - 17*h**5/150 + 4*h**4/15 - 28*h**2. Factor j(c).
2*c*(c - 16)*(c - 1)/5
Let f = -3/3598 + 179939/46774. Suppose 20/13*k - 2/13*k**2 - f = 0. Calculate k.
5
Let u(f) = -f - 1. Let b be u(0). Let t be -7 - -10 - (-3 - b). Factor 2 - 2 + p**3 - 4 + t*p**2 - 2*p**2.
(p - 1)*(p + 2)**2
Suppose 0 = 10*h - 8*h - 25*h + 46. Determine d so that -15/2 - 9/2*d**h - 3/2*d**3 + 27/2*d = 0.
-5, 1
Let o(j) = -j**2 - 4*j + 1. Let s be o(-3). Factor -s*i - 2*i**4 - 24*i**3 + 2 + 3*i + 20*i**3 + 5*i.
-2*(i - 1)*(i + 1)**3
Let c(d) be the first derivative of -5*d**4/4 + 85*d**3/3 - 242. Factor c(h).
-5*h**2*(h - 17)
Let u = 71 + -69. Determine f, given that 38*f**2 + f + f**3 + u*f + 0*f**3 - 34*f**2 = 0.
-3, -1, 0
Let -1/6*j**4 + j**2 - 4/3*j + 1/2 + 0*j**3 = 0. What is j?
-3, 1
Let p(t) be the third derivative of 0 - 5/16*t**4 - 14*t**2 + 0*t**3 + 0*t - 1/40*t**5. Determine v, given that p(v) = 0.
-5, 0
Let 