(s) + 45*f(s). Factor y(w).
-5*(w - 1)*(7*w - 2)
Let v(d) be the third derivative of d**8/112 + 3*d**7/35 + d**6/8 + 5*d**2 + 3. Let v(c) = 0. What is c?
-5, -1, 0
Let c = 67 - 133/2. Suppose c*h - 1/2*h**3 + 1/2*h**4 + 1 - 3/2*h**2 = 0. Calculate h.
-1, 1, 2
Let k be 6/(-1275)*3*55. Let f = 20/17 + k. Factor -2/5 - f*t**2 + 4/5*t.
-2*(t - 1)**2/5
Let o be (6/(-4))/(435/(-232)). Factor 2/5*h**2 + o - 6/5*h.
2*(h - 2)*(h - 1)/5
Let g = 371 - 1847/5. Factor -8*a**2 - 8/5*a**3 - g - 34/5*a.
-2*(a + 4)*(2*a + 1)**2/5
Let y(s) = -6*s**4 + 9*s**3 + 2*s. Let r(a) = -5*a**4 + 8*a**3 - a**2 + 2*a. Let h(t) = 5*r(t) - 4*y(t). Factor h(m).
-m*(m - 2)*(m - 1)**2
Suppose 3*b = 2*b. Factor 1/2*k**2 + k**3 + b*k + 0 + 1/2*k**4.
k**2*(k + 1)**2/2
Let a = 108 - 105. Solve 0 + 2/3*i**2 - 2/3*i**a + 2/3*i - 2/3*i**4 = 0 for i.
-1, 0, 1
Let y be 8 + (-5)/(-1)*66/(-55). Solve 1/2*h + 0 + 3/4*h**3 - 5/4*h**y = 0 for h.
0, 2/3, 1
Let k be 11/21 + 1/7. Factor 2/9*b**3 + 0*b + k*b**5 + 10/9*b**4 - 2/9*b**2 + 0.
2*b**2*(b + 1)**2*(3*b - 1)/9
Let i(l) be the second derivative of l**7/252 - l**5/120 + 9*l. Factor i(d).
d**3*(d - 1)*(d + 1)/6
Let y(a) be the second derivative of a**9/7560 + a**8/6720 - a**7/2520 + a**4/6 + a. Let f(s) be the third derivative of y(s). Factor f(p).
p**2*(p + 1)*(2*p - 1)
Let p(z) be the third derivative of 0*z + 0 + 1/12*z**3 + 1/240*z**6 - 1/120*z**5 - 1/48*z**4 - z**2. Let p(g) = 0. What is g?
-1, 1
Let u = 14 + -14. Let k(h) be the third derivative of u*h - 2/9*h**3 - h**2 + 1/18*h**4 + 0 - 1/180*h**5. Find r such that k(r) = 0.
2
Factor -2/7*y + 2/7*y**2 - 4/7.
2*(y - 2)*(y + 1)/7
Suppose 0 = -4*u - u - 2*y + 28, 4*u = 4*y. Let m(p) be the third derivative of 1/240*p**5 + 0 + 1/96*p**u - p**2 + 0*p**3 + 0*p. Let m(o) = 0. Calculate o.
-1, 0
Let i be 1 - (3/(-3) - 1). Suppose -a + 3*k = -5, -a - k + 17 = -0*k. Determine j, given that 8*j**3 - a*j**3 - j**2 + j**5 + j**4 + 5*j**i = 0.
-1, 0, 1
Factor s + 1/8*s**4 - 3/8*s**2 - 1/4*s**3 - 1/2.
(s - 2)*(s - 1)**2*(s + 2)/8
Solve 2/9*y**3 + 0*y**2 + 2/9*y**5 + 0*y + 0 - 4/9*y**4 = 0.
0, 1
Suppose 3*p = -6 + 12. Let l = -4 + 4. What is t in -1/2*t**3 - t**4 + l + 0*t + 1/2*t**p = 0?
-1, 0, 1/2
Let k be (-1*14)/1 - 1. Let h = k - -15. Determine f so that h*f - 3/2*f**2 + 0 - 3/2*f**3 = 0.
-1, 0
Let n(c) = 11*c**2 - c - 3. Let h(m) = 6*m**2 - 2. Suppose 0 = i - 0 - 4. Let y(f) = i*n(f) - 7*h(f). Factor y(p).
2*(p - 1)**2
Factor 3*k**2 - 4 + 12*k + 8 + 11 - 3.
3*(k + 2)**2
Let u be 2/(-4 - (-798)/201). Let g = -331/5 - u. Factor 4/5*f**3 - g*f + 2/5 - 2/5*f**4 + 0*f**2.
-2*(f - 1)**3*(f + 1)/5
Let r(c) be the first derivative of -7*c**4/18 - 46*c**3/27 - 20*c**2/9 - 8*c/9 - 14. Factor r(x).
-2*(x + 1)*(x + 2)*(7*x + 2)/9
Let f(x) be the third derivative of x**6/1080 + x**5/180 - x**3/2 - 4*x**2. Let s(n) be the first derivative of f(n). Suppose s(v) = 0. Calculate v.
-2, 0
Let d be (-3)/(-2) + (-9)/(-6). Factor -4*y - y**3 - y**d - 5*y**2 - y**2.
-2*y*(y + 1)*(y + 2)
Let p(d) = -d + 11. Let i be p(8). Let a(f) be the second derivative of -2/15*f**6 + 0 - f + 0*f**2 + 0*f**4 + 1/20*f**5 + 0*f**i. Suppose a(r) = 0. What is r?
0, 1/4
Let b(l) be the second derivative of -l**5/10 + l**4/2 + 6*l. Factor b(f).
-2*f**2*(f - 3)
Suppose -6*o = -228 + 210. Factor -2/3*l**2 + 1/3*l**o + 1/3*l + 0.
l*(l - 1)**2/3
Let u(b) be the third derivative of b**5/35 + b**4/14 + b**3/14 - 11*b**2. Factor u(i).
3*(2*i + 1)**2/7
Let v(g) = 0*g + 2*g - 3*g + 1. Let o be v(-3). Find u, given that 6*u**2 - o*u**2 - 4*u + 5*u + u**3 = 0.
-1, 0
Solve 0 + 30*d**4 - 3/2*d - 27/4*d**3 - 12*d**5 - 39/4*d**2 = 0.
-1/4, 0, 1, 2
Factor 3/4*z**2 - 3/2*z + 3/4.
3*(z - 1)**2/4
Factor 1 - 2*n**3 - 5/2*n**2 + 7/2*n.
-(n - 1)*(n + 2)*(4*n + 1)/2
Suppose 2*m - 12 = -4*m. Suppose -i - 5 = -w, -4 = -m*i - w + 1. Factor 1/4*n**5 + 1/4*n**2 + 3/4*n**4 + 0*n + i + 3/4*n**3.
n**2*(n + 1)**3/4
Let v be ((-20)/(-140))/((-1)/(-4)). Let n(c) = c**3 - 5*c**2 + 3*c + 4. Let y be n(4). Find f, given that 2/7*f**3 + 0*f - v*f**2 + y = 0.
0, 2
Let g be (-1179)/(-1428)*(-4)/(-6). Let h = g - 9/34. Solve 4/7*q**3 + h*q**4 - 2/7*q**5 - 2/7*q + 2/7 - 4/7*q**2 = 0.
-1, 1
Determine b, given that 4*b**3 - 15*b**3 + 8*b**3 - 3*b**2 = 0.
-1, 0
Let i(a) be the second derivative of a**7/399 + 7*a**6/285 + a**5/10 + 25*a**4/114 + 16*a**3/57 + 4*a**2/19 - 4*a. Factor i(z).
2*(z + 1)**3*(z + 2)**2/19
Let m(r) = 6*r**2 - 89*r + 377. Let d(z) = 2*z**2 - 30*z + 126. Let u(o) = -7*d(o) + 2*m(o). Factor u(n).
-2*(n - 8)**2
Let d = 4 - 2. Suppose d*u + u = 0. Factor -3*a**3 + u*a - 3*a - 4*a**4 - 6*a**2 + 4*a + 12*a**3.
-a*(a - 1)**2*(4*a - 1)
Let a(y) be the first derivative of -3*y**4/4 + 3*y**3 - 3*y**2 - 14. Factor a(h).
-3*h*(h - 2)*(h - 1)
Suppose -4*b + 36 = -0. Suppose -8*o + 2*o**2 + b + 0 + 1 - 4 = 0. Calculate o.
1, 3
Let z(x) be the second derivative of x**7/126 - x**6/30 + x**5/60 + x**4/12 - x**3/9 - 10*x. Find k, given that z(k) = 0.
-1, 0, 1, 2
Let p(z) be the second derivative of -1/54*z**4 - z + 0 - 1/9*z**3 - 2/9*z**2. Find d, given that p(d) = 0.
-2, -1
Suppose -3*j + 6*j + 25 = 4*q, 3*j = -5*q + 11. Let c = 8 - q. Factor -2/7*a**c + 0 - 2/7*a**3 + 2/7*a**2 + 2/7*a.
-2*a*(a - 1)*(a + 1)**2/7
Let f be (0 - (-3)/6)*86. Let l = f - 127/3. Factor -l*s**3 + 0*s**2 + 1/3*s + 0 + 1/3*s**5 + 0*s**4.
s*(s - 1)**2*(s + 1)**2/3
Suppose -4*n + 8 = 0, 4*s + 4*n - 26 + 2 = 0. Suppose l - 18 = s*l. Let g(d) = -d**5 - 1. Let y(c) = 8*c**5 - 2*c**4 + 6. Let f(j) = l*g(j) - y(j). Factor f(o).
-2*o**4*(o - 1)
Let k(s) be the third derivative of 0 + 1/24*s**3 - 1/120*s**5 - 4*s**2 + 1/840*s**7 + 1/96*s**4 + 0*s - 1/240*s**6 + 1/1344*s**8. Find q, given that k(q) = 0.
-1, 1
Let w be 2 - (6/3)/(-2). Factor -h**3 + 5*h**5 + w*h**3 - 4*h**5 - 3*h**5.
-2*h**3*(h - 1)*(h + 1)
Let d(w) = -w**3 + 2*w**2 + 5*w - 3. Let n be d(3). Factor -v**2 - v**n - v**2 + 2*v**3 + v + 0*v**2.
v*(v - 1)**2
Find l, given that 4*l**3 + 8 + 0 - 2 - 2 - 4*l - 4*l**2 = 0.
-1, 1
Suppose 0*l - 24 = -3*o - 3*l, -5*l = -4*o - 4. Suppose -3*x - x - 19*x**2 - 2*x + o*x**2 = 0. What is x?
-2/5, 0
Let v(h) be the third derivative of h**8/3024 - 2*h**7/945 + h**6/270 + 12*h**2. Factor v(f).
f**3*(f - 2)**2/9
Suppose 2*c = -2*j, 3*j - j = -5*c + 6. Suppose -7*o**c - 23*o + 7*o + 19*o**2 + 4 = 0. Calculate o.
1/3, 1
Solve -2*z + 7*z - 5*z**2 + 5*z = 0.
0, 2
Let v(f) be the first derivative of 0*f - 1/5*f**3 + 3 + 3/20*f**4 - 3/5*f**2. Solve v(h) = 0.
-1, 0, 2
Suppose 1/4*s**3 + 0*s - 1/2*s**2 + 0 = 0. What is s?
0, 2
Factor 0*y - 2/15 + 2/15*y**2.
2*(y - 1)*(y + 1)/15
Let d(y) be the third derivative of 2/15*y**3 - 5*y**2 + 1/60*y**4 + 0 + 0*y - 1/150*y**5. Determine q so that d(q) = 0.
-1, 2
Let w(x) be the first derivative of 1/2*x**2 + 0*x - 1/30*x**3 + 1 - 1/60*x**4 - 1/300*x**5. Let n(k) be the second derivative of w(k). Factor n(r).
-(r + 1)**2/5
Let z = 6 - 4. Let -2*k**5 - 2*k**2 + z*k**2 + 0*k**3 + 2*k**3 = 0. Calculate k.
-1, 0, 1
Factor -2/3*n**4 + 8/3*n + 10/3*n**3 + 0 - 16/3*n**2.
-2*n*(n - 2)**2*(n - 1)/3
Let w(c) = 36*c**3 + 56*c**2 + 64*c - 22. Let t(v) = 5*v**3 + 8*v**2 + 9*v - 3. Let q(x) = -44*t(x) + 6*w(x). Factor q(d).
-4*d*(d + 1)*(d + 3)
Let x(q) = -2*q. Let u be x(-7). Suppose 0 = 4*y + 2 - u. Suppose -n**2 + 0*n**3 - n + 3*n**2 + 3*n - 4*n**y = 0. Calculate n.
-1/2, 0, 1
Let n be ((-4)/16)/((-2)/8). Suppose -7 = -4*r + n. Factor -2*l**2 - 3*l**2 - r*l**3 + 5*l**2 + 2*l.
-2*l*(l - 1)*(l + 1)
Let c(g) = 0 - g - g**2 - 2*g**2 + 3. Let b(p) = 1. Let j(a) = -3*b(a) + 3*c(a). Factor j(h).
-3*(h + 1)*(3*h - 2)
Let z(b) be the second derivative of 243*b**5/10 - 9*b**4 - 4*b**3 + 8*b**2/3 - 18*b. Let z(l) = 0. Calculate l.
-2/9, 2/9
Let m = 5 + -5. Factor m + 0*s**2 - 1/3*s + 1/3*s**3.
s*(s - 1)*(s + 1)/3
Let u(l) be the second derivative of l**6/780 - l**5/195 + l**4/156 + l**2 + 2*l. Let f(p) be the first derivative of u(p). Factor f(q).
2*q*(q - 1)**2/13
Let b(d) be the first derivative of d**4/4 - d**3/3 - d**2 - 3. Let b(a) = 0. Calculate a.
-1, 0, 2
Let c(s) be the first derivative of s**6/540 + 2*s**5/135 + s**4/27 - s**3 + 2. Let v(t) be the third derivative of c(t). Suppose v(d) = 0. Calculate d.
-2, -2/3
Suppose -5*d + 74 = -4*f, -3*d - 2*f = -6*d + 44. Let c be (-4)/(-14)*d/8. Fact