2/3.
-(f + 2)*(3*f + 1)/3
Let v be (1/(-3))/(8/(-168)). Let n = 2 - -1. What is y in 28*y - 39 + 24 - 25*y**2 + 5*y**n + v*y = 0?
1, 3
Let q(f) be the second derivative of -f**5/30 - 2*f**4/9 + 11*f**3/9 - 2*f**2 - 160*f. Let q(b) = 0. Calculate b.
-6, 1
Let g = -487 - -491. Let o(k) be the second derivative of 2/15*k**3 + 1/30*k**g - 4*k + 0 + 1/5*k**2. Factor o(x).
2*(x + 1)**2/5
Factor 7 - 16*t - 15*t**3 - 2 + 198*t**2 - 9*t - 163*t**2.
-5*(t - 1)**2*(3*t - 1)
Let p(u) be the third derivative of u**5/12 + 5*u**4/6 - 44*u**2 + 1. Factor p(j).
5*j*(j + 4)
Find w, given that 3*w**4 - 15*w - 23 + 15 + 9*w**2 - 4 + 15*w**3 = 0.
-4, -1, 1
Let g(r) = -8*r**2 + 56*r + 64. Let l(f) = 15*f**2 - 112*f - 127. Let t(d) = -7*g(d) - 4*l(d). Determine s so that t(s) = 0.
-1, 15
Let c be 3 - (0 + 0 - (-5 - (-9 - -3))). Suppose 7/2*t - 7/2*t**2 + 8*t**5 + c*t**4 - 23/2*t**3 - 1/2 = 0. Calculate t.
-1, 1/4, 1
Let c(r) be the second derivative of -r**8/6720 + r**7/2520 + 5*r**4/4 - 16*r. Let x(z) be the third derivative of c(z). Factor x(l).
-l**2*(l - 1)
Solve 16*x + 17*x - 44*x - 3*x**2 + 18 - 46*x - 72 = 0.
-18, -1
Let w(u) be the third derivative of u**5/510 - 5*u**4/34 + 29*u**3/51 + u**2 + 149. Let w(h) = 0. What is h?
1, 29
Let b(w) be the first derivative of -3/8*w**2 + 3/4*w**3 + 3/10*w**5 - 3/4*w + 15/16*w**4 + 7. Find y, given that b(y) = 0.
-1, 1/2
Let f(m) = -3609*m + 21659. Let b be f(6). Factor 12*i - 14/9*i**4 + 6*i**2 - 2/9*i**b - 2*i**3 + 0.
-2*i*(i - 2)*(i + 3)**3/9
Factor -195*c - 27 + 17*c**2 - 4 + 8*c**2 - 9.
5*(c - 8)*(5*c + 1)
Let n be 10*(-5 + 4) + 4. Let m be 2/n - 21/(-36). Solve -1/2 + 1/4*d**2 + 3/4*d + m*d**4 - 3/4*d**3 = 0 for d.
-1, 1, 2
Let w(o) = o**2 - 10*o - 38. Let p be w(13). Suppose p - 25 = -6*r. Factor -3/7*a**r - 1/7*a**3 - 4/7*a + 0 + 8/7*a**2.
-a*(a - 1)*(a + 2)*(3*a - 2)/7
Let s(y) be the first derivative of -2*y**3/9 - 5*y**2/3 + 4*y - 202. Factor s(n).
-2*(n - 1)*(n + 6)/3
Let k(z) = 6*z**2 + 470*z - 482. Let a(h) = -13*h**2 - 937*h + 965. Let n(x) = 2*a(x) + 5*k(x). Solve n(d) = 0.
-120, 1
Suppose 2*f = c + 1, -5*f + 3*f + 16 = 4*c. Factor -5*j**3 + 33*j - 10*j**f + 34*j - 72*j.
-5*j*(j + 1)**2
Let i be -2 + (86 - (2 - (-12)/(-3))). Let q = i + -427/5. Solve q*a**2 + 0 + 1/5*a**3 + 2/5*a = 0 for a.
-2, -1, 0
Suppose -75/7*n + 3/7*n**2 + 72/7 = 0. Calculate n.
1, 24
Let p(n) be the first derivative of 5*n**7/42 - n**6/3 + 5*n**4/6 - 5*n**3/6 + 12*n + 9. Let j(g) be the first derivative of p(g). Factor j(w).
5*w*(w - 1)**3*(w + 1)
Let 36/5 + 2/5*f**2 + 38/5*f = 0. What is f?
-18, -1
Let n be (-5 + 42/8)*7552/234. Let y = n - 102/13. Determine f, given that 4/9 - 2/9*f**2 - y*f**4 + 2/3*f**3 - 2/3*f = 0.
-1, 1, 2
What is i in -3/4*i**2 + 27/4 - 9/4*i + 1/4*i**3 = 0?
-3, 3
Factor 1/4*b**3 + 10201/4 + 203/4*b**2 + 10403/4*b.
(b + 1)*(b + 101)**2/4
Let o = 1086 + -1083. Let d(u) be the second derivative of 0 + 0*u**4 + 0*u**o - 9*u - 1/10*u**6 + 0*u**2 - 3/20*u**5. Factor d(m).
-3*m**3*(m + 1)
Find w such that 110/17*w**2 - 146/17*w - 2/17*w**4 + 60/17 - 22/17*w**3 = 0.
-15, 1, 2
Determine q, given that 89*q + 18*q**3 + 16*q**2 + 3*q**4 - 27 - 11*q - 88*q**2 = 0.
-9, 1
Factor -3/4*o - 3/8*o**2 - 3/8.
-3*(o + 1)**2/8
Suppose 0 = -5*f + 84*c - 82*c + 28, 2*c = 3*f - 24. Let -1/2*o**4 + 1/2 + o + 0*o**f - o**3 = 0. Calculate o.
-1, 1
Let h be 20/16*136/255. Factor 2 - h*k**2 + 4/3*k.
-2*(k - 3)*(k + 1)/3
Let i(g) be the first derivative of -12/5*g**3 - 6/5*g**2 - 1/10*g**6 - 18/25*g**5 + 0*g - 11 - 39/20*g**4. Determine k so that i(k) = 0.
-2, -1, 0
Let n = -121/4 - -1093/36. Let v(w) be the first derivative of 0*w + 1/27*w**6 - n*w**4 + 0*w**2 + 0*w**3 - 4 - 2/45*w**5. Suppose v(b) = 0. What is b?
-1, 0, 2
Factor 0 + 0*u - 2/5*u**4 - 13448/5*u**2 + 328/5*u**3.
-2*u**2*(u - 82)**2/5
Let f(q) = 198*q**3 + 1145*q**2 + 1744*q + 41. Let s(c) = 2*c**3 + c - 1. Let d(o) = -f(o) + 4*s(o). Solve d(j) = 0.
-3, -1/38
Suppose 27*g - 27 = 81. Factor -1/3*x**2 + 1/3*x**g + 1/3*x**3 + 0 + 0*x - 1/3*x**5.
-x**2*(x - 1)**2*(x + 1)/3
Let f(j) be the second derivative of j**7/189 + j**6/3 + 8*j**5 + 80*j**4 - 6912*j**2 + 344*j. Factor f(r).
2*(r - 3)*(r + 12)**4/9
Let r(y) be the first derivative of -6*y**5/35 + 139*y**4/14 - 3266*y**3/21 + 529*y**2/7 + 246. Let r(u) = 0. Calculate u.
0, 1/3, 23
Let o(k) be the third derivative of k**8/23520 - k**7/8820 - k**6/2520 + k**5/420 + k**4/3 + 6*k**2. Let s(y) be the second derivative of o(y). Factor s(b).
2*(b - 1)**2*(b + 1)/7
Let k(p) be the third derivative of 5/6*p**4 + 0*p + 1/42*p**7 + 2/3*p**5 + 19*p**2 + 0 + 5/24*p**6 + 0*p**3. Factor k(m).
5*m*(m + 1)*(m + 2)**2
Let c(f) = f**2 + 7*f + 2. Let k be c(-7). Suppose -b**4 + b**2 - 8*b**2 + 4*b - 2*b**k + 6*b**3 = 0. Calculate b.
0, 1, 4
Let f be (14/20)/((-11)/(-11)). Let p(n) be the second derivative of f*n**6 - n**3 + 0 + 3/10*n**5 + 0*n**2 - 7/4*n**4 + 8*n. Factor p(a).
3*a*(a - 1)*(a + 1)*(7*a + 2)
Let b(i) be the third derivative of i**5/15 - 5*i**4/6 - 4*i**3 - i**2 - 3. Factor b(o).
4*(o - 6)*(o + 1)
Let n be 8/144*(150/24 - 4). Factor -1/8*i - 1/8 + n*i**2 + 1/8*i**3.
(i - 1)*(i + 1)**2/8
Factor 12*w**3 - 13*w - w**2 + 103*w - 24 + 70*w**2 - 3.
3*(w + 3)**2*(4*w - 1)
Let j(w) be the first derivative of 3*w**4/20 - 7*w**3/5 - 117*w**2/5 + 612. Factor j(z).
3*z*(z - 13)*(z + 6)/5
Let a(t) be the first derivative of t**5/12 + 2*t**4/9 + t**3/18 - t**2/3 - 22*t + 23. Let f(r) be the first derivative of a(r). Suppose f(m) = 0. Calculate m.
-1, 2/5
Let b = -2 - -11. Let s be 24/60 + (-53)/(-5). Factor 13 + b*v - s - 18 - 4*v**2 + 11*v.
-4*(v - 4)*(v - 1)
Let s = 2787/4655 + 6/4655. Suppose -o**3 + o - 1/5*o**2 - 2/5 + s*o**4 = 0. Calculate o.
-1, 2/3, 1
Let j = -16 - 67. Let z = j - -499/6. Suppose 1/3*d**3 - z - 1/3*d + 1/6*d**2 = 0. What is d?
-1, -1/2, 1
Let t(w) = -78*w + 315. Let u be t(4). Factor 0*q**2 + 8/5*q**u + 0*q + 4/5*q**4 + 0.
4*q**3*(q + 2)/5
Let q(c) = -c**2 + 4*c + 8. Let s be (-111)/(-21) - 4/14. Let d be q(s). Factor 16*h - 10*h**2 - 6 + 2*h**d - 4*h + 2*h.
2*(h - 3)*(h - 1)**2
Let y = 95 - 101. Let p be (-1)/(y/(-12)*-5). Solve 0 + p*a + 0*a**3 - 2/5*a**5 - 4/5*a**4 + 4/5*a**2 = 0 for a.
-1, 0, 1
Let d be 5 + 1 - (7 + (-10)/2). Let 4/11 + 14/11*h + 16/11*h**2 - 4/11*h**d - 2/11*h**5 + 4/11*h**3 = 0. What is h?
-1, 2
Let a(p) be the second derivative of p**5/270 + p**4/3 + 12*p**3 - 25*p**2 + 4*p. Let y(u) be the first derivative of a(u). Factor y(b).
2*(b + 18)**2/9
Let y(a) be the first derivative of a**6/90 + 7*a**5/15 + 49*a**4/6 - 28*a**3/3 - 32. Let f(c) be the third derivative of y(c). Factor f(v).
4*(v + 7)**2
Factor d**2 - 185203*d + 185208*d + 2*d**2 - 8.
(d - 1)*(3*d + 8)
Suppose -n + 54 = -4*p + 4*n, 39 = -3*p + 3*n. Let c = -7 - p. Solve -2 - 67*d**2 + 64*d**5 + 17*d - 3*d - 6*d**2 + 1 + 172*d**3 - 176*d**c = 0.
1/4, 1
Let n(l) = 8*l - 12. Let u be 2/12*6 + 0 + 1. Let s be n(u). Solve 0*q + 3/4*q**3 + 0 + 1/4*q**2 + 1/2*q**s = 0.
-1, -1/2, 0
Suppose -115*i = -100*i - 45. Solve 8/9*t**i - 2/3*t**2 - 4/9 - 2*t = 0 for t.
-1, -1/4, 2
Let t(n) be the first derivative of -n**4/24 + n**3/3 - n**2 + 4*n/3 + 126. Factor t(r).
-(r - 2)**3/6
Let r = -106 + 114. Factor 3*n**2 + r*n**2 + 2*n - 7*n**2 - 2*n**2.
2*n*(n + 1)
Let l be (-50)/(-10) - 1/(-1)*-3. Let n(w) be the third derivative of -1/60*w**6 + 1/15*w**4 + 4/75*w**5 + 0*w**3 + 0 + 0*w - 5*w**l. Factor n(y).
-2*y*(y - 2)*(5*y + 2)/5
Factor 3 - 1366*t - 27*t**2 + 28*t**2 + 1370*t.
(t + 1)*(t + 3)
Let k(n) = n**2 - 13*n - 12. Let p be k(-9). Factor -7*v**4 + 18*v**3 + 8*v + p*v**5 - 20*v**2 + 0*v - 185*v**5.
v*(v - 2)**3*(v - 1)
Let i be 1*(2 + -1)*1. Let w be 49/(-21)*((-48)/(-42) - -1 - 3). Factor -i + 2/3*k + 1/3*k**w.
(k - 1)*(k + 3)/3
Let g(c) be the first derivative of -5*c**6/18 - 3*c**5 - 115*c**4/12 - 5*c**3/3 + 30*c**2 + 664. Solve g(u) = 0.
-4, -3, 0, 1
Let c(j) be the first derivative of 0*j - 343/2*j**2 + 1/5*j**5 + 49*j**3 - 14 - 21/4*j**4. What is p in c(p) = 0?
0, 7
Suppose -36 = 3*u - 3*n, u + 3*n + 15 = 3. Let x be (2 + 2)*(-9)/u. Solve -3*d - 3*d**2 + 3 + 0*d - 15*d**x + 18*d**3 = 0.
-1, 1
Factor 0 + 1/3*a**3 + 40/3*a + 14/3*a**2.
a*(a + 4)*(a + 10)/3
Suppose 0 = -30*c - 28*c + 232. Let d(z) be the second derivative of -1/27*z**4 + 0 + 0*