 - 1)*(y + 1)**2/5
Let o(y) = -16*y**5 + 6*y**3 + 10*y - 10. Let q(j) = -5*j**5 + 2*j**3 + 3*j - 3. Let p be 2/(-5) - 13/5. Let w(b) = p*o(b) + 10*q(b). Factor w(h).
-2*h**3*(h - 1)*(h + 1)
Let c(m) be the first derivative of 7*m**4/4 - 11*m**3/3 + 16*m**2/7 - 4*m/7 - 13. Find d such that c(d) = 0.
2/7, 1
Let o = 4383/13 - 337. Factor -o*k - 4/13 + 2/13*k**2.
2*(k - 2)*(k + 1)/13
Let y(n) be the third derivative of n**7/42 - n**6/20 - 4*n**5/75 + n**4/4 - 3*n**3/10 - 30*n**2. Find a, given that y(a) = 0.
-1, 3/5, 1
Factor -9/4*f**2 - 3 + 6*f.
-3*(f - 2)*(3*f - 2)/4
Let t = 23/63 + -2/63. Suppose -2*n = 3*n. Suppose 0*c - t*c**2 + n = 0. Calculate c.
0
Let c be ((-60)/70)/(9/(-42)). Let u(j) be the first derivative of -1/4*j**2 - c - 1/4*j - 1/12*j**3. Solve u(q) = 0.
-1
Let x(h) be the second derivative of -3/10*h**5 + 3/4*h**4 + 2*h**3 + 0 + 4*h - 1/10*h**6 - 6*h**2. Factor x(l).
-3*(l - 1)**2*(l + 2)**2
Factor 4*m**5 - 10*m**4 - 22*m**4 - 84*m**3 + 12*m**4 - 92*m**2 - 32*m.
4*m*(m - 8)*(m + 1)**3
Suppose -10*d + 11*d = 2. Find z such that 0*z + 0 + 2/7*z**d = 0.
0
Let o(y) be the second derivative of -y**4/6 - 7*y**3/3 - 6*y**2 + 5*y + 3. Factor o(j).
-2*(j + 1)*(j + 6)
Suppose x + 2*t = -7, -3*x - 1 = -5*x - t. Let f be x/27*1*6. Factor 5/3*g**4 + 0 - f*g**2 - g**3 + 0*g.
g**2*(g - 1)*(5*g + 2)/3
Let v(u) be the second derivative of u**4/42 - 2*u**3/21 + u**2/7 - u + 1. What is m in v(m) = 0?
1
Let d be 2 + 2/(868/(-866)). Let r = 863/1085 + d. Factor -2/5 + r*h - 2/5*h**2.
-2*(h - 1)**2/5
Let q = 16 - 13. Factor -20*n - n + q + 131*n**3 - 9 + 4*n**3 + 36*n**2.
3*(3*n + 1)**2*(5*n - 2)
Suppose i - 2 = -p, 6*i - i - 10 = 5*p. Suppose 12 = 2*m - 2*h, -5*h = 3*m - i*m + 12. Determine x so that x + 2*x - 4*x + 2*x - 2*x**2 + x**m = 0.
0, 1
Let z = -21 - -24. Let q be z/2*(-3)/(-6). Solve 1/4*g**2 - q*g + 1/2 = 0.
1, 2
Let q(w) = -w**3 + 3*w**2 + w. Let m be q(3). Find k such that k**3 + 14*k**2 - 12*k**2 + 0*k**m = 0.
-2, 0
Let w(j) = -j**3 + 5*j**2 - 3*j - 2. Let k be w(4). What is i in -2*i + 0*i**2 + k*i**2 - 2 + 2 = 0?
0, 1
Let d(u) be the first derivative of u**5/30 - u**2/2 - 2. Let m(f) be the second derivative of d(f). Find l such that m(l) = 0.
0
Factor -7 - 13 - 5*b**2 - 129*b + 154*b.
-5*(b - 4)*(b - 1)
Determine y so that -5*y**3 - y**4 + 2 + 9*y**2 - 7*y - 3*y**4 + 6*y**4 - y**4 = 0.
1, 2
Let g(i) be the second derivative of 0*i**6 - 2*i + 1/45*i**5 + 0*i**2 - 1/189*i**7 - 1/27*i**3 + 0 + 0*i**4. Solve g(x) = 0.
-1, 0, 1
Factor -2/13*z**3 + 0 + 0*z + 0*z**2.
-2*z**3/13
Let k = 590/3 + -196. Find f, given that 2/3 + 2*f**2 - k*f**3 - 2*f = 0.
1
Let o(c) be the second derivative of -c**5/120 - 5*c**4/72 - c**3/12 + 3*c**2/4 + 3*c. Factor o(p).
-(p - 1)*(p + 3)**2/6
Let k(i) be the third derivative of 0*i**3 + 1/20*i**6 + 1/12*i**4 - 1/105*i**7 - 4*i**2 - 1/10*i**5 + 0*i + 0. Factor k(f).
-2*f*(f - 1)**3
Suppose 0*h = -3*h + 6. Let g be 10/4 - (-6)/12. Factor -z**4 - 4*z**h + 0*z**3 + 0*z**2 - 4*z**g.
-z**2*(z + 2)**2
Let v(u) be the second derivative of u**4/36 + 2*u**3/9 + u**2/2 + 68*u. Suppose v(s) = 0. Calculate s.
-3, -1
Let o(t) be the third derivative of -t**6/60 + t**5/15 + t**4/3 - t**3/3 - 3*t**2. Let c(y) be the first derivative of o(y). Factor c(u).
-2*(u - 2)*(3*u + 2)
Let y(i) be the second derivative of -3*i**6/10 - 3*i**5/10 + 3*i**4/4 + i**3 + 7*i. Find q such that y(q) = 0.
-1, -2/3, 0, 1
Let o(s) be the second derivative of -6*s + 1/6*s**4 + 0*s**2 + 0*s**3 + 0. Determine j so that o(j) = 0.
0
Let o = -1165/3 - -391. Factor -o + 0*m + 2/3*m**3 + 2*m**2.
2*(m - 1)*(m + 2)**2/3
Let w be 12/15*(0 + -5). Let m be (-13)/(-5) + w/(-10). Factor 7*r**2 + 5*r**5 - 3*r**2 - 2*r - m*r**5 - 4*r**4.
2*r*(r - 1)**3*(r + 1)
Let x(b) = b**2 + 7*b - 6. Let r(v) = -v**2 - v + 1. Let s(d) = -2*r(d) - x(d). Let s(a) = 0. Calculate a.
1, 4
Let p(f) = -f + 2. Let w be p(3). Let j be w/(-3)*(-4 - -10). Factor 0 - 98/5*r**4 - 24*r**j - 16/5*r - 252/5*r**3.
-2*r*(r + 2)*(7*r + 2)**2/5
Let s(l) be the third derivative of l**7/273 - l**6/60 + 3*l**5/130 + l**4/156 - 2*l**3/39 + 4*l**2. Factor s(x).
2*(x - 1)**3*(5*x + 2)/13
Let f(u) = -6*u**2 - 17*u - 17. Let s(v) = -3*v**2 - 9*v - 8. Let b(d) = 2*f(d) - 5*s(d). Factor b(p).
(p + 3)*(3*p + 2)
Suppose -28 = 5*c + 2. Let u = c - -6. Factor -1/4*h**2 - 1/2*h + u.
-h*(h + 2)/4
Let m = -2 + 4. Let g(i) be the third derivative of -1/40*i**6 - 1/24*i**4 + i**m + 0 - 1/15*i**5 + 0*i**3 + 0*i. Solve g(n) = 0.
-1, -1/3, 0
Factor -12*m**2 + 54/5*m + 18/5*m**3 - 12/5.
6*(m - 2)*(m - 1)*(3*m - 1)/5
Let a(w) = -w**2 - 11*w - 6. Let k be a(-9). Let d be ((-3)/2)/(k/(-16)). Determine h so that -11/2*h**d - 15/2*h**3 + 11/2*h + 9/2*h**4 - 1 = 0.
-1, 1/3, 2
Let q = -55 - -58. Let a(p) be the first derivative of 2/3*p**q - 2*p**4 + 2 - 2/3*p**6 + 2*p**5 + 0*p + 0*p**2. Factor a(b).
-2*b**2*(b - 1)**2*(2*b - 1)
Let g(q) = -q + 12. Let s be g(9). Suppose -8 = 5*l + 2, l = -s*y + 10. Factor 2*u**y - 15/2*u**3 + 2*u + 0 + 6*u**2.
u*(u - 2)**2*(4*u + 1)/2
Suppose -4*t + 10 = -2. Factor t + 6*u**4 + 3*u**4 + 6*u**2 - 3 - 15*u**3.
3*u**2*(u - 1)*(3*u - 2)
Find m such that 4*m**3 - m - m**3 - m**3 - m**5 = 0.
-1, 0, 1
Let q(g) = -4*g - 4. Let n be q(-2). Let p(u) = -4*u**2 - 21*u + 9. Let z(d) = -d**2 - 5*d + 2. Let t(o) = n*p(o) - 18*z(o). Determine j, given that t(j) = 0.
-3, 0
Let q be ((-12)/20)/(3/5 - 1). Factor -q*s**4 + 0*s**2 + 0*s + 0 - 3/2*s**3.
-3*s**3*(s + 1)/2
Let k(l) be the first derivative of -7 + 2/5*l**3 + 2/5*l**2 + 0*l + 1/10*l**4. Factor k(x).
2*x*(x + 1)*(x + 2)/5
Let t(v) = -v**2 + 1. Let n be t(-2). Let d be n/(-2)*(-4)/(-18). Find c, given that -d*c**2 + 1/3*c + 0 = 0.
0, 1
Let k(l) be the first derivative of 4*l**5/5 - 2*l**4 + 4*l**2 - 4*l - 9. Find r, given that k(r) = 0.
-1, 1
Let i(a) be the second derivative of a**4/42 - 4*a**3/21 - 12*a. Determine f, given that i(f) = 0.
0, 4
Factor 9*w**3 + 15*w**3 - 23*w**3 - 3*w - 2*w**2.
w*(w - 3)*(w + 1)
Let w = -89 + 89. Factor 2/5*z**4 + 0*z - 2/5*z**2 + 0*z**3 + w.
2*z**2*(z - 1)*(z + 1)/5
Let r = 17 - 21. Let k be r/(-7)*(-5 - -7). Let -12/7*a**2 - 2/7*a**4 - k*a**3 - 2/7 - 8/7*a = 0. Calculate a.
-1
Let h(g) = -g + 12. Let x be h(6). Let w be (-3)/(-2) - 5/x. Factor 2/3*b**5 + 0 + 0*b - 2/3*b**3 + 2/3*b**2 - w*b**4.
2*b**2*(b - 1)**2*(b + 1)/3
Let t(j) be the second derivative of j**5/5 - j**4/3 - 4*j**3 + 45*j. Solve t(a) = 0 for a.
-2, 0, 3
Let g(a) = -5*a + 1. Let j be g(-1). Factor 2*d**2 - j*d**2 + 2*d**3 + 0*d**3.
2*d**2*(d - 2)
Let l(k) be the second derivative of k**8/560 - k**7/280 - k**6/120 + k**5/40 - k**3/6 + 4*k. Let m(s) be the second derivative of l(s). Factor m(y).
3*y*(y - 1)**2*(y + 1)
Let i(j) be the first derivative of j**4/6 - j**3/18 - 67. Solve i(q) = 0.
0, 1/4
Let a(w) be the second derivative of 2*w**4/3 - 19*w**3/6 + 3*w**2 + 16*w. Let a(k) = 0. What is k?
3/8, 2
Let l be (-7)/14 + 10/4. Factor -1/2*u**4 + 0*u + 1/2*u**3 + 0 + 1/2*u**l - 1/2*u**5.
-u**2*(u - 1)*(u + 1)**2/2
Let i(u) be the second derivative of -3*u**5/80 + 3*u**4/16 - 3*u**3/8 + 3*u**2/8 - 19*u. Factor i(j).
-3*(j - 1)**3/4
Let v(h) be the second derivative of -h**4/4 + 3*h**2/2 + 2*h. Factor v(p).
-3*(p - 1)*(p + 1)
Factor -19 - 4*s**3 + 4*s**2 + 4*s + 11 + 4*s**2.
-4*(s - 2)*(s - 1)*(s + 1)
Let c(z) = z**2 + 2*z. Let g be c(-3). Solve o**4 - o**3 - 4*o**5 + 0 + 4 - 4*o - 3 + 9*o**g - 2*o**2 = 0 for o.
-1, 1/4, 1
Let h be (-1)/(-3) - (-20)/12. Suppose 0 = -h*w + 5*w - 6. Factor -1/3*c + 1/3 + 1/3*c**3 - 1/3*c**w.
(c - 1)**2*(c + 1)/3
Let s(a) be the first derivative of 6/7*a + 2/21*a**3 + 4/7*a**2 - 7. What is w in s(w) = 0?
-3, -1
Let n be (6/15)/(8/10). Determine j so that -j + 1/4*j**4 + n*j**3 + 1 - 3/4*j**2 = 0.
-2, 1
Let i(j) be the first derivative of -3*j**5/10 + 9*j**4/8 + 3*j**3 - 6*j**2 + 11. Solve i(r) = 0.
-2, 0, 1, 4
Let t be (-1)/(-1*(-3)/(-6)). Let -3*v**3 - 17 + 12*v - 7 + 0*v**t + 0*v**3 + 6*v**2 = 0. Calculate v.
-2, 2
Solve -3/4*k**2 + 0 + 0*k + 1/4*k**3 = 0.
0, 3
Let c(k) = k**3 + 10*k**2 + 14*k - 11. Let l be c(-8). Let m(r) be the third derivative of 0 - 2*r**2 - 1/60*r**l + 0*r**3 + 0*r - 1/24*r**4. Factor m(g).
-g*(g + 1)
Let p(l) be the first derivative of l**5/20 - l**4/12 - l**3/6 + l**2/2 + 3*l + 6. Let q(r) be the 