Suppose -j + 0*y + 2 = y, -20 = 2*j - 4*y. Let n be (3 + -1)*j/(-8). Let 1/2*r - 3/2*r**2 + 0 - n*r**4 + 3/2*r**3 = 0. Calculate r.
0, 1
Let f(q) = 53 - 6*q**2 + 13 - 39*q + 0*q. Let l(d) = d**2 + 8*d - 13. Let x(h) = -4*f(h) - 21*l(h). Factor x(c).
3*(c - 3)*(c - 1)
Factor -3*r**2 + 32 - 31 + 2*r**2.
-(r - 1)*(r + 1)
Let k = -80 + 139. Let a = -235/4 + k. Factor 0*b**2 - 1/4*b**3 + a*b + 0.
-b*(b - 1)*(b + 1)/4
Let -12 + 32/3*f - 1/3*f**3 - 5/3*f**2 = 0. Calculate f.
-9, 2
Let u(f) be the second derivative of f**5/5 + 2*f**4 + 8*f**3 + 16*f**2 - 17*f. Factor u(i).
4*(i + 2)**3
Let l(j) be the third derivative of -1/60*j**5 + 2*j**2 + 0 + 0*j + 1/6*j**3 - 1/6*j**4 + 1/30*j**6. Factor l(f).
(f - 1)*(f + 1)*(4*f - 1)
Factor 0 - 4/5*z + 2/5*z**2.
2*z*(z - 2)/5
Suppose 3*t - 29 = 4. Suppose 2*q = 3*k - t, 0*q - 2*q = 2. Determine j, given that 0 - 4/7*j**k - 2/7*j**4 - 2/7*j**2 + 0*j = 0.
-1, 0
Factor -3 + 9/4*q**2 + 0*q - 3/4*q**3.
-3*(q - 2)**2*(q + 1)/4
Let w(o) be the first derivative of o**5/10 + o**4 + 7*o**3/2 + 11*o**2/2 + 4*o - 57. Factor w(g).
(g + 1)**2*(g + 2)*(g + 4)/2
Let t = -193/42401 - -64156348/56690137. Let a = 3/191 + t. Suppose -8*r**4 - a*r + 8*r**2 + 0 + 14*r**5 - 90/7*r**3 = 0. Calculate r.
-1, 0, 2/7, 1
Let -6*b**2 + 3*b**2 + 16 - b**2 = 0. What is b?
-2, 2
Suppose 3*f + 2*f = 0. Suppose 4*c - 12 + f = 0. Suppose -2/3*p + 4/3*p**2 + 0 - 2/3*p**c = 0. Calculate p.
0, 1
Let k(r) = -r - 10. Let d(s) = 1. Let l(f) = 2*d(f) - k(f). Let a be l(-12). Factor 0 + 0*t**3 + a*t + 1/4*t**4 + 0*t**2.
t**4/4
Let g(b) be the second derivative of -b**7/7560 + b**6/720 + b**4/12 + 9*b. Let k(w) be the third derivative of g(w). Factor k(y).
-y*(y - 3)/3
Determine b so that 5*b + 11*b**5 - 8*b**2 + 3*b + 8*b**4 - 13*b**5 - 6*b**3 = 0.
-1, 0, 1, 2
Let d(z) = 3*z**2 - 1. Let h be d(-1). Suppose -h*o**3 - 7*o**3 + 2*o**2 + 8*o**5 - 2*o**4 + o**3 = 0. Calculate o.
-1, 0, 1/4, 1
Let o(q) = -2*q**3 - q**2 - 3*q - 3. Let l(w) = 2*w**3 + 2*w**2 + 2*w + 2. Let t(m) = -m - 2. Let c be t(-5). Let y(h) = c*l(h) + 2*o(h). Factor y(k).
2*k**2*(k + 2)
Factor 4*c**2 + 2*c**4 + 2*c + 2/5*c**5 + 2/5 + 4*c**3.
2*(c + 1)**5/5
Find j, given that -2/5*j**3 - 4/5 - 12/5*j**4 + 2/5*j + 16/5*j**2 = 0.
-1, -2/3, 1/2, 1
Let s(w) be the second derivative of -3*w**5/160 + w**4/32 + w**3/16 - 3*w**2/16 - 3*w. What is m in s(m) = 0?
-1, 1
Let g(t) be the first derivative of t**6/10 + 9*t**5/25 + 9*t**4/20 + t**3/5 + 2. Factor g(j).
3*j**2*(j + 1)**3/5
Suppose -1 = 4*w - 25. Let g be (1 + -7)*(-2)/w. Let -2*f**5 - 17 + 17 - 12*f**3 - 8*f**4 - g*f - 8*f**2 = 0. Calculate f.
-1, 0
Let y be (-9)/((-18)/8) - 2. Let p(z) be the third derivative of 0*z - y*z**2 + 0 + 1/180*z**5 + 1/36*z**4 + 0*z**3. Factor p(i).
i*(i + 2)/3
Let w = -11/4 + 13/4. Suppose 0 = 18*b + 27 - 63. Find g such that g**b - 1/2*g**3 - w*g + 0 = 0.
0, 1
Let p(g) be the third derivative of -2*g**7/1365 - g**6/156 + g**5/130 + 22*g**2. Factor p(k).
-2*k**2*(k + 3)*(2*k - 1)/13
Let d(j) be the third derivative of j**6/300 + j**5/300 - j**2. Determine h so that d(h) = 0.
-1/2, 0
Suppose 3*s - s = 6*s. Let i(o) be the third derivative of s*o**3 - 1/63*o**7 + 2*o**2 - 1/60*o**6 + 0*o**4 + 1/45*o**5 + 0 + 0*o. Factor i(v).
-2*v**2*(v + 1)*(5*v - 2)/3
Let t be 2 + 40/(-25) - 0. Solve 4/5 + 6/5*c - 8/5*c**3 + 0*c**4 + t*c**5 - 4/5*c**2 = 0 for c.
-1, 1, 2
Let j(o) be the second derivative of -3*o + 1/24*o**3 + 1/8*o**2 - 1/60*o**6 + 0 - 1/16*o**5 - 1/16*o**4. Factor j(z).
-(z + 1)**3*(2*z - 1)/4
Let q be 124/(-3)*(-15)/(-50). Let a = q + 64/5. Factor 0*k + a*k**2 - 2/5*k**3 + 0.
-2*k**2*(k - 1)/5
Let j(u) = -u**5 - u**3 + u**2 + 1. Let a(s) = -2*s**5 + 2*s**4 - 2*s**3 + s**2 + 1. Let x = 4 - 2. Let q(m) = x*j(m) - 2*a(m). Factor q(v).
2*v**3*(v - 1)**2
Let b(c) be the third derivative of -3*c**5/22 - 17*c**4/132 + 2*c**3/11 - 18*c**2. Factor b(a).
-2*(5*a + 3)*(9*a - 2)/11
Let j(l) be the second derivative of -3*l**5/160 + l**4/32 + l**3/8 + l - 32. Solve j(w) = 0 for w.
-1, 0, 2
Let x(y) = 6*y**2 + 18*y + 7. Let g(p) = 9*p**2 + 27*p + 11. Let t(w) = 5*g(w) - 7*x(w). What is h in t(h) = 0?
-2, -1
Let z(k) be the third derivative of -k**5/480 - 5*k**4/96 - 25*k**3/48 - 16*k**2. Factor z(p).
-(p + 5)**2/8
Let f(y) be the first derivative of -y**6/27 + 2*y**5/15 - y**4/6 + 2*y**3/27 + 5. Determine m, given that f(m) = 0.
0, 1
Let m(p) = -p + 4. Let c be m(4). Suppose -2*d + 0*d - 4*k + 20 = c, k = 4. What is l in 0 + 0*l + 2/3*l**4 + 0*l**3 + 0*l**d = 0?
0
Let m(c) be the second derivative of -c**4/24 - c**3/3 - c**2 - 8*c. Factor m(i).
-(i + 2)**2/2
Let m(x) be the second derivative of -x**6/450 + x**5/300 - x**3/2 + 3*x. Let z(l) be the second derivative of m(l). Suppose z(t) = 0. What is t?
0, 1/2
Factor 5*v**2 + 2 - 5*v - 5 + 5*v**3 - 2.
5*(v - 1)*(v + 1)**2
Let p(a) be the second derivative of -2*a**2 + 11/5*a**5 + 3*a**4 + 2/3*a**3 + 8/15*a**6 - 4*a + 0. What is h in p(h) = 0?
-1, 1/4
Suppose -1 = -x, -6*t + 3 = -4*t - 3*x. Let a(z) be the second derivative of -t*z + 0*z**2 - 1/18*z**4 + 0 + 1/9*z**3. Factor a(o).
-2*o*(o - 1)/3
Let b be ((-8)/144)/((-20)/6). Let u(t) be the third derivative of -t**2 + 0*t**3 + 0*t + 0*t**5 + 0 - b*t**6 + 0*t**4. Find y such that u(y) = 0.
0
Let s = 872/7 + -124. Let p be 0 + 1/(-7)*-4. Factor 0*g**3 - 2/7*g**5 + 0 - p*g**4 + 2/7*g + s*g**2.
-2*g*(g - 1)*(g + 1)**3/7
Let t(l) be the first derivative of 3*l**4/4 - 4*l**3 + 3*l**2/2 + 18*l + 14. Factor t(z).
3*(z - 3)*(z - 2)*(z + 1)
Suppose z + z + 4 = 0. Let l be 2*(0 + (z - -3)). Factor -3*f**2 + l + f**2 + 0.
-2*(f - 1)*(f + 1)
Let h(t) be the second derivative of -t**6/1620 + t**4/108 - t**3/2 + 4*t. Let n(c) be the second derivative of h(c). Let n(s) = 0. What is s?
-1, 1
Suppose -4*a = -a. Suppose 4*j - 31 - 33 = a. Factor -7*n**2 + 3*n**2 - 8 - j*n - 6*n**2 - 2*n**3.
-2*(n + 1)*(n + 2)**2
Let z = -71 + 71. Let k(w) be the first derivative of 4 + 0*w**3 - 1/4*w**6 + 0*w**4 + z*w**2 + 0*w + 3/10*w**5. Find h, given that k(h) = 0.
0, 1
Let v be 4/6*(1 - -2). Suppose -2*d - 3 = -3*d. Factor d - 1 + 0*y**2 - v*y**2.
-2*(y - 1)*(y + 1)
Let y(k) be the first derivative of 0*k - 1/150*k**5 + 0*k**2 + 3 + 1/900*k**6 - 2/3*k**3 + 1/60*k**4. Let r(w) be the third derivative of y(w). Factor r(q).
2*(q - 1)**2/5
Let d = -20275/4 + 5128. Let j = d + -1137/20. Determine y so that -2/5*y**2 - j*y - 18/5 = 0.
-3
Let f be (-18)/(-42)*10*28/16. Factor 2 - f*o**2 + 2*o.
-(3*o - 2)*(5*o + 2)/2
Let p(w) be the third derivative of w**5/30 - w**4/3 + w**3 + 16*w**2. Find j such that p(j) = 0.
1, 3
Let m = -179/3 + 1259/21. Solve f**3 + 0*f + 2/7*f**4 + 0 - f**5 - m*f**2 = 0 for f.
-1, 0, 2/7, 1
Let s(u) be the third derivative of -7*u**6/660 - 17*u**5/330 - 13*u**4/132 - u**3/11 + 5*u**2. Factor s(k).
-2*(k + 1)**2*(7*k + 3)/11
Let d(z) = z**2 - 3*z. Let w(f) = 14*f - 2*f**2 - 2*f - f**2 - 2*f**2. Let l(r) = -9*d(r) - 2*w(r). Find m, given that l(m) = 0.
-3, 0
Let g(t) be the third derivative of 0*t + 0*t**4 + 8*t**2 - 1/210*t**5 + 0 + 1/21*t**3. Factor g(u).
-2*(u - 1)*(u + 1)/7
Let j = 458/755 + -1/151. Let n = 14/15 - j. Factor -1/3*p**3 + 1/3*p**4 + 0 - n*p**2 + 1/3*p**5 + 0*p.
p**2*(p - 1)*(p + 1)**2/3
Let f = -27 + 27. Suppose f = -4*j + 2*l - 6, -j - 5*l = -0*j - 26. What is t in j + 1/2*t - 1/2*t**2 = 0?
-1, 2
Let x(c) be the second derivative of c**5/270 + c**4/108 - 2*c**3/27 + c**2/2 + 3*c. Let p(z) be the first derivative of x(z). Determine f, given that p(f) = 0.
-2, 1
Suppose -21*s**3 - 13*s**3 + 6*s + 18 - 10*s**2 + 36*s**3 = 0. Calculate s.
-1, 3
Let k = -13/44 - -6/11. Find c, given that -1/4*c - k*c**2 + 0 = 0.
-1, 0
Let g(f) be the first derivative of 4*f - 3 - f**2 - 2/3*f**3. Find n, given that g(n) = 0.
-2, 1
Suppose -5*b + j = -27, 13 = 3*b + j - 0. Let i(h) be the third derivative of -1/60*h**b + 0 + 0*h + 2*h**2 + 0*h**3 - 1/24*h**4. What is c in i(c) = 0?
-1, 0
Let l(p) be the third derivative of 0*p**7 - 1/240*p**6 + 0 + 0*p**4 + 0*p + 0*p**3 + 0*p**5 + 1/672*p**8 + 10*p**2. Find a such that l(a) = 0.
-1, 0, 1
Suppose -2*l - 5*j = -3*l - 23, l + 4*j = 22. Factor 0*q + 1/4*q**3 + 1/4*q**l + 0.
q**2*(q + 1)/4
Let l(k) be the third derivative of 0 + 0*k**3 + 0*k + 1/160*k**6 - 5*k**2 + 0*k**4 + 1/80*k**5. Factor l(m).
