t d = -369 - -182. Let t = -371/2 - d. Factor -n + t + 1/6*n**2.
(n - 3)**2/6
Let r(d) be the second derivative of d**6/120 - 3*d**5/40 + d**4/6 + d**3/4 - 9*d**2/8 - 79*d. Factor r(l).
(l - 3)**2*(l - 1)*(l + 1)/4
Let x(f) be the third derivative of -1/90*f**5 + 4*f**2 + 1/144*f**4 + 0*f**3 + 0 + 0*f. Factor x(c).
-c*(4*c - 1)/6
Suppose 0 - 12/7*m**4 - 8/7*m - 2/7*m**5 - 26/7*m**3 - 24/7*m**2 = 0. Calculate m.
-2, -1, 0
Let b(u) be the third derivative of -u**6/600 - u**5/25 + 19*u**4/120 + 13*u**3/5 + 2*u**2 + 96. Factor b(a).
-(a - 3)*(a + 2)*(a + 13)/5
Let t = -3/9626 + 38519/48130. Factor -2/5*l**3 - t*l + 0 + 6/5*l**2.
-2*l*(l - 2)*(l - 1)/5
Let i be 2/24*245/10 + -2. Let v(r) be the first derivative of -i*r**6 + 0*r**4 - 3 - 1/10*r**5 + 1/8*r**2 + 0*r + 1/6*r**3. Suppose v(n) = 0. What is n?
-1, 0, 1
Suppose 3/2 - 7/4*y**2 + 5/4*y**3 - 5/4*y + 1/4*y**4 = 0. Calculate y.
-6, -1, 1
Let v(y) be the first derivative of 4*y**3/3 - 32*y**2 + 112*y - 233. What is h in v(h) = 0?
2, 14
Let w be 15*7/35*1/3. Factor -w + 1 - 51*g - 2*g**3 + 61*g + 8*g**2.
-2*g*(g - 5)*(g + 1)
Let 0 - 2/3*o**4 - 26/3*o**3 - 64/3*o - 88/3*o**2 = 0. What is o?
-8, -4, -1, 0
Let x be (0 + 0)*((-1)/14 - (-328)/574). Factor -3/2*v + 1 + x*v**2 + 1/2*v**3.
(v - 1)**2*(v + 2)/2
Factor 343/5*j**3 - 294*j**2 + 420*j - 200.
(7*j - 10)**3/5
Let v be 0 + -3 - (2 + (-5 - -4)). Let i be (1 - 210/156)*v. Determine b so that -2/13*b**2 - 12/13*b - i = 0.
-3
Let k(h) = -943*h + 945. Let s be k(1). Find f such that -200/3 - 2/3*f**s + 40/3*f = 0.
10
Let r(y) be the second derivative of 1/252*y**7 - 5*y + 1/4*y**2 + 5/36*y**3 - 1/36*y**4 + 0 - 1/180*y**6 - 1/20*y**5. Solve r(x) = 0 for x.
-1, 1, 3
Suppose t = 3*k + 5 - 10, 4*k + 10 = -2*t. Determine o so that k - 1/4*o**2 - 1/2*o = 0.
-2, 0
Let d(w) be the first derivative of 10*w**3/9 - 11*w**2/3 + 4*w/3 - 157. Suppose d(r) = 0. What is r?
1/5, 2
Let a(r) be the first derivative of -r**7/280 + r**6/120 + r**5/20 + r**3 - 16. Let o(x) be the third derivative of a(x). Solve o(i) = 0.
-1, 0, 2
Let f(g) be the first derivative of g**3 - 33*g**2/2 + 84*g - 115. Suppose f(m) = 0. Calculate m.
4, 7
Let a(t) = 17*t**2 - 3*t + 16. Let x(z) = 27*z**2 - 5*z + 32. Let f(p) = 5*a(p) - 3*x(p). Find m, given that f(m) = 0.
-2, 2
Let w(a) be the third derivative of a**8/23520 - a**7/2205 + a**6/840 + a**4/24 - 7*a**2. Let v(r) be the second derivative of w(r). Factor v(k).
2*k*(k - 3)*(k - 1)/7
Let m(k) = k**3 + 9*k**2 - 2*k. Let s be m(-8). Factor -s*q**2 + 10*q + 105*q**2 - 23 - 17 + 5*q**3.
5*(q - 1)*(q + 2)*(q + 4)
Let s = 16 + -11. Suppose 0 = -v + s + 7. Find l, given that 24*l**3 - v*l**5 + l**4 - 12*l - 3 + 0*l + 4*l**2 - 4*l**4 + 2*l**2 = 0.
-1, -1/4, 1
Suppose 2*v - m - 157 = -8, -5*v + 392 = 4*m. Factor 2*j**2 - 12*j + 9 + 35 - v.
2*(j - 8)*(j + 2)
Let n = -217/10 - -45/2. Solve 0 + 0*i**3 - 4/5*i**2 + n*i**4 + 0*i = 0 for i.
-1, 0, 1
Let s = -29/52 - -55/52. Factor 0*o + 0 - s*o**2.
-o**2/2
Let s(x) = x**3 + x**2 + x + 1. Let o(g) = -3*g**3 - 3*g - 2. Let z(l) = -o(l) - 2*s(l). Factor z(h).
h*(h - 1)**2
Suppose -964918 + 299*x - 2*x**2 + 856340 + 633*x = 0. What is x?
233
Let v(p) be the second derivative of -16*p - 1/3*p**3 + 0 - 1/12*p**4 - 1/2*p**2. Factor v(t).
-(t + 1)**2
Let y = 439 + -3947/9. Find x such that -y*x**2 + 16/9 - 8/3*x + 14/9*x**3 - 2/9*x**5 + 0*x**4 = 0.
-2, 1, 2
Let b(w) be the second derivative of w**6/195 - w**5/130 - w**4/78 + w**3/39 - 7*w + 10. Suppose b(n) = 0. What is n?
-1, 0, 1
Let i(k) be the second derivative of -9*k**4/4 - k**3/8 + 208*k. Let i(z) = 0. What is z?
-1/36, 0
Let t = 315/11 - 307/11. Factor -t*a + 1/11*a**2 + 16/11.
(a - 4)**2/11
Let t = -1075 - -2151/2. Factor t*s**3 + 0*s - 1/2*s**2 + 0 + 1/2*s**4 - 1/2*s**5.
-s**2*(s - 1)**2*(s + 1)/2
Let p be (10/55)/((-30)/(-55)) + (-1 - -1). Factor p*x**2 + 1 - 4/3*x.
(x - 3)*(x - 1)/3
Let d = -670 + 5367/8. Let h(f) be the first derivative of 1/12*f**6 - 1/2*f**3 + 9 + d*f**4 - 1/2*f**5 + 0*f**2 + 0*f. Suppose h(c) = 0. What is c?
0, 1, 3
Find x such that 3/8*x**2 - 651/4*x + 141267/8 = 0.
217
Factor -2*c**2 - 2312 + 71*c + 44*c + 27*c - 6*c.
-2*(c - 34)**2
Let i = -52 - -43. Let n be (-25)/i - 22/(-99). Factor -1/4*v**n + 1/4 - 1/4*v**2 + 1/4*v.
-(v - 1)*(v + 1)**2/4
Suppose -38 - 36 = -3*i - k, 3*k + 114 = 5*i. Let g = i + -20. Solve 0 + 30/7*t**2 + 2/7*t**g - 18/7*t - 2*t**3 = 0.
0, 1, 3
Let o(j) = -5*j + 5. Let r(c) = -c**3 - c**2 - 4*c + 4. Let z be -1*-2*(-10)/4. Let v(s) = z*r(s) + 4*o(s). Determine u, given that v(u) = 0.
-1, 0
Let a(s) = -4*s + 31. Let v be a(7). Determine h, given that 204*h**3 + 4*h**2 - 3*h**5 - 4*h**4 + 6*h**5 + h**5 - 208*h**v = 0.
-1, 0, 1
Suppose 2*b - 4 = 6*b + 4*p, 4*p = 3*b + 10. Let v(k) = 2*k**3 + 30*k**2 + 46*k + 14. Let n(d) = -d**2 - d - 1. Let y(t) = b*v(t) - 28*n(t). Factor y(z).
-4*z*(z + 4)**2
Factor 88*p**3 + 9*p**4 - 18*p**2 + 5*p**4 + 10 + 6 + 168*p**2 + 92*p.
2*(p + 1)**2*(p + 4)*(7*p + 2)
Let z(b) = -3*b**2 - 4*b - 3. Let k = 31 - 28. Let j(p) = 3*p**2 + 3*p + 3. Let v(m) = k*z(m) + 2*j(m). What is y in v(y) = 0?
-1
Suppose b - 2*i + 1 = 2*b, -5*b + 23 = i. Let f be 8 - b - (-6)/(-2). Factor 3/2*q**5 + f + 16/3*q**2 - 4/3*q**3 + 8/3*q - 4*q**4.
q*(q - 2)**2*(3*q + 2)**2/6
Let z(s) be the first derivative of s**3 + 333*s**2 + 36963*s - 214. Solve z(o) = 0 for o.
-111
Let w(b) = 2*b + 14. Let d(t) = -t - 2. Let f be d(4). Let i be w(f). Factor 16 + 76*y**i + 15*y**3 + 35*y**3 + 56*y + 16*y**4 + 46*y**5 - 44*y**5.
2*(y + 1)**2*(y + 2)**3
Let l(n) = -3*n - 45. Let c be l(-15). Let d = 1 - 1. Solve -m**2 + d + m**4 + c = 0 for m.
-1, 0, 1
Let p(w) be the third derivative of 0 + 3*w**2 + 0*w**4 - 1/240*w**5 + 0*w - 1/96*w**6 - 1/210*w**7 + 0*w**3. Factor p(x).
-x**2*(x + 1)*(4*x + 1)/4
Let x(y) be the first derivative of 55/2*y**2 + 10 - 20/3*y**3 - 30*y - 5/4*y**4. Determine f so that x(f) = 0.
-6, 1
Let j(d) be the first derivative of -d**3/6 - 12*d**2 - 186. Factor j(y).
-y*(y + 48)/2
Let t(r) be the second derivative of -r**5/5 - 3*r**4 - 46*r**3/3 - 30*r**2 - 28*r. Factor t(x).
-4*(x + 1)*(x + 3)*(x + 5)
Find i, given that 10/13*i**5 + 34/13*i**4 - 138/13*i**2 - 50/13*i**3 + 0 + 144/13*i = 0.
-3, 0, 1, 8/5
Let z(m) be the third derivative of m**8/25200 + m**7/6300 - m**5/900 + 7*m**4/24 + 11*m**2. Let h(n) be the second derivative of z(n). Factor h(s).
2*(s + 1)**2*(2*s - 1)/15
Let t(b) be the second derivative of 7*b**6/6 + 15*b**5/4 - 95*b**4/12 - 5*b**3/2 + 4*b + 2. Factor t(w).
5*w*(w - 1)*(w + 3)*(7*w + 1)
Let 1/7*l**4 - 312/7*l - 26/7*l**3 + 144/7 + 193/7*l**2 = 0. Calculate l.
1, 12
Let t(c) be the first derivative of c**5/45 - 7*c**4/36 - 4*c**3/9 - 8*c**2 - 8. Let r(x) be the second derivative of t(x). Suppose r(n) = 0. What is n?
-1/2, 4
Let w(c) = c**2 - 12*c + 90. Let k(x) = 4*x - 30. Let g(y) = 7*k(y) + 2*w(y). Let g(r) = 0. What is r?
-5, 3
Factor -35/6*t**3 + 12*t**2 - 13/2*t + 1/3.
-(t - 1)**2*(35*t - 2)/6
Let r(h) be the first derivative of h**3/3 + 20*h**2 - 39. Factor r(l).
l*(l + 40)
What is h in -20/7 + 1/7*h**2 + 8/7*h = 0?
-10, 2
Find x such that -9*x - 18 - 41 - 3*x**2 + 71 = 0.
-4, 1
Solve -1/3*v**4 + 0*v + 14/9*v**3 - 8/9*v**2 + 0 = 0.
0, 2/3, 4
Let b(x) be the second derivative of -1/230*x**5 + 2*x - 1/23*x**2 - 1/23*x**3 + 0 - 1/46*x**4. Find r such that b(r) = 0.
-1
Let b be -5 + 1 - (-19 - -13). Factor -3*w**b + 3*w**2 - 102*w + 6 + w**2 + 109*w.
(w + 1)*(w + 6)
Let z(s) be the first derivative of 16*s**3/3 + 34*s**2 - 60*s + 82. Factor z(j).
4*(j + 5)*(4*j - 3)
Suppose -2*h - 3 = -1, -3*f = 5*h - 76. Factor -7 + 2*z + 5*z**2 + f + 18*z.
5*(z + 2)**2
Let m(s) = 4*s**4 - 15*s**3 + 4*s**2 + 5. Let v be 2/3 - 110/30 - 2. Let n(z) = z**3 - 1. Let t(r) = v*n(r) - m(r). Suppose t(c) = 0. What is c?
0, 1/2, 2
Let r = 15303/2 - 7651. Suppose -3*z = -5*g + 30, 29 = 3*g + z - 5*z. Factor -1/2*m - 1 + m**2 + r*m**g.
(m - 1)*(m + 1)*(m + 2)/2
Let u be -10*((-33)/15 - -1). Factor -u + k**2 - 3*k**3 - 3*k**2 + 11*k**2.
-3*(k - 2)**2*(k + 1)
Let w(r) be the second derivative of -3*r**4/2 - r**3/2 - 2*r + 6. Factor w(g).
-3*g*(6*g + 1)
Find z such that 9*z + 42*z - 27*z**2 + 3*z**3 - 6*z - 21 = 0.
1, 7
Let s(i) be the second derivative of 0*i**2 + 0 + 0*i**3 + 11/20*i**5 + 13/10*i**6