y + 1)/4
Let k(t) be the second derivative of -4*t**4/3 + 6*t**3 - 4*t**2 + 6*t. Solve k(f) = 0.
1/4, 2
Let g be (0 + ((-12)/(-8) - 3))/(-6). Suppose z + z - 3*v = -12, 4*z - 4*v = -16. Solve -g + z*l + 1/4*l**2 = 0.
-1, 1
Suppose -4*h = h. Let y(r) be the second derivative of 1/36*r**4 - 1/90*r**6 + 0 + h*r**3 + 2*r + 0*r**2 + 0*r**5. Find d such that y(d) = 0.
-1, 0, 1
Let o(g) be the first derivative of -4*g**3/3 + 6*g**2 + 40*g + 29. Factor o(j).
-4*(j - 5)*(j + 2)
Let t(j) be the second derivative of 1/2*j**4 + 1/3*j**3 + 0 - 2*j**2 + 5*j - 1/15*j**6 - 1/10*j**5. Factor t(r).
-2*(r - 1)**2*(r + 1)*(r + 2)
Factor 1/3*s**2 + 1/6*s**4 + 1/2*s**3 + 0 + 0*s.
s**2*(s + 1)*(s + 2)/6
Let z(b) = -b**4 - b**3 + b. Let i(c) = -8*c**4 - 8*c**3 + 4*c**2 + 8*c. Let t(a) = i(a) - 4*z(a). Factor t(y).
-4*y*(y - 1)*(y + 1)**2
Let b(p) be the first derivative of 4*p**5/5 - 3*p**4/2 + p**2 - 3. Determine t, given that b(t) = 0.
-1/2, 0, 1
Let g(m) be the first derivative of 1/4*m**2 - 1/8*m**4 + 1/6*m**3 + 0*m + 6 - 1/10*m**5. Determine c, given that g(c) = 0.
-1, 0, 1
Let n = 30188310/89 - 339190. Let b = n - -1/178. Factor 7/2*j + b*j**3 - 1/2 - 15/2*j**2.
(j - 1)*(3*j - 1)**2/2
Let r(f) = -f**2 + 8*f + 3. Let h be r(8). Let p(s) be the second derivative of s + 0 - 1/50*s**5 - 1/15*s**h + 0*s**2 + 1/15*s**4. Find q such that p(q) = 0.
0, 1
Let s = 8 - 6. Suppose -53 = -3*a + 2*a - 5*m, s*a + 5*m - 131 = 0. Factor 21*r**5 - a*r**2 + 6*r**3 + 78*r**2 + 27*r**4.
3*r**3*(r + 1)*(7*r + 2)
Let s = -1014 - -1014. What is n in 0*n + 1/4*n**3 + s + 1/4*n**2 = 0?
-1, 0
Let d = 885/2 - 442. Factor -1/4 + 1/4*s**4 + 0*s**2 - 1/2*s**3 + d*s.
(s - 1)**3*(s + 1)/4
Suppose -38 = -5*g - 3. Let s(a) = -a**3 + 6*a**2 + 9*a - 9. Let p be s(g). Let 2*f**2 - 2*f**4 - 2 + f**5 + 0*f**p + 2 - f = 0. What is f?
-1, 0, 1
Let q(w) be the third derivative of w**8/168 - w**7/35 + w**6/20 - w**5/30 - 47*w**2. Factor q(k).
2*k**2*(k - 1)**3
Let o = 61/150 - 1/150. What is n in -o*n**2 - 2/5 - 4/5*n = 0?
-1
Let q(s) = 3*s**2 + 2*s. Let u(p) = p**3 + p**2 + p. Let b(k) = -4*q(k) - 4*u(k). Solve b(f) = 0 for f.
-3, -1, 0
Factor -5/2*y**2 + 6*y - 2.
-(y - 2)*(5*y - 2)/2
Suppose -11 + 2 = -3*v. Let b(j) be the first derivative of -1/24*j**6 - 5/8*j**2 - v - 1/4*j - 1/4*j**5 - 5/6*j**3 - 5/8*j**4. Solve b(p) = 0.
-1
Suppose -2*o + 28 = -4*n, 4*n = 3*o + o - 24. Let s be (-6)/n - 65/(-20). Solve -1/4*y**3 - 3/4*y**2 + 1/2 + 1/4*y + 1/4*y**s = 0.
-1, 1, 2
Let p(s) = -s**5 + s**3 + s**2 - s - 1. Let z(x) = 34*x**5 + 20*x**4 - 98*x**3 - 10*x**2 + 70*x - 10. Let t(n) = 6*p(n) + z(n). What is g in t(g) = 0?
-2, -1, 2/7, 1
Let g be 2 - 0/((-1)/1). Let z(p) = p. Let i be z(0). Factor -g*a**2 + 1 + i + 1.
-2*(a - 1)*(a + 1)
Let j(g) be the first derivative of 8 + 1/3*g**2 - 1/2*g - 1/18*g**3. Factor j(p).
-(p - 3)*(p - 1)/6
Suppose -f + 0 = 4*b - 17, 1 = f. Factor 6*u**4 - 2*u**3 - u**b - 2*u**4 - u**5.
-u**3*(u - 2)*(u - 1)
Let t(v) be the third derivative of -v**8/112 + 3*v**7/140 + v**6/16 - 13*v**5/40 + 9*v**4/16 - v**3/2 - 7*v**2. Suppose t(s) = 0. What is s?
-2, 1/2, 1
Let j(k) be the first derivative of 4*k**3/3 - 26*k**2 + 48*k + 61. Factor j(s).
4*(s - 12)*(s - 1)
Let r(g) = -2*g**3 - 7*g - 3. Let y(q) = -9*q**3 - 28*q - 11. Let a(p) = 26*r(p) - 6*y(p). Determine b so that a(b) = 0.
-2, -1, 3
Let k be ((-2)/(-3))/(112/42). Suppose 1/4*l**4 + k*l + 3/4*l**2 + 3/4*l**3 + 0 = 0. Calculate l.
-1, 0
Let x(c) = 115 - c - 115. Let i(s) = s**2 - 4*s + 1. Let t = 15 - 9. Let q(h) = t*x(h) - i(h). Let q(f) = 0. What is f?
-1
Factor 0*b - 14*b**2 + 12*b**3 - 10*b**4 + 6*b**3 + 2*b**5 + 4*b.
2*b*(b - 2)*(b - 1)**3
Let x = -16/85 - -181/510. Find g such that 0*g + x*g**2 - 1/6*g**3 + 0 = 0.
0, 1
Let b be (-9 + 15)/(60/8). What is u in -2/5*u + b - 8/5*u**2 - 2/5*u**5 + 4/5*u**3 + 4/5*u**4 = 0?
-1, 1, 2
Let x(k) be the first derivative of -1/6*k**4 - 3*k + k**2 + 3 + 0*k**3. Let f(g) be the first derivative of x(g). Factor f(s).
-2*(s - 1)*(s + 1)
Let i(t) = -4*t**5 - t**4 + 5*t**3 - 5*t - 5. Let r be 9 + -4 - (0 + 0). Let v(w) = -3*w**5 - w**4 + 4*w**3 - 4*w - 4. Let s(b) = r*v(b) - 4*i(b). Factor s(k).
k**4*(k - 1)
Let c(o) = -21*o**4 - 15*o**3 - 42*o**2 - 12*o. Let k(b) be the third derivative of -b**7/210 - b**5/60 + 5*b**2. Let d(f) = c(f) - 18*k(f). Factor d(q).
-3*q*(q + 1)*(q + 2)**2
Let j(n) = -3 + 18*n - 5*n + 5*n**3 - 2*n**3 + 0*n**2 - 5*n**2. Let t(r) = 6*r**3 - 9*r**2 + 27*r - 6. Let u(q) = -9*j(q) + 4*t(q). Factor u(w).
-3*(w - 1)**3
Suppose -4*a - 298 = 5*f, 0 = -4*a - f - 84 - 206. Let z be (-6)/10 + a/(-20). What is v in z*v**3 - v**4 + 2*v**4 - 2*v**3 = 0?
-1, 0
Let d(f) be the third derivative of -f**7/5040 - f**6/720 - f**5/240 + f**4/6 + 3*f**2. Let y(b) be the second derivative of d(b). Factor y(t).
-(t + 1)**2/2
Suppose 0*n = -n + 6*n. Let j(a) be the first derivative of 0*a + 3/4*a**4 + 3/5*a**5 + n*a**2 - 2*a**3 + 1. Factor j(u).
3*u**2*(u - 1)*(u + 2)
Let c be (2/7)/((-136)/(-119)). Let 0*k + 1/4*k**2 - c*k**3 + 0 = 0. What is k?
0, 1
Factor -1/3*t**4 + 0 - 5/3*t**3 - 7/3*t**2 - t.
-t*(t + 1)**2*(t + 3)/3
Let y(r) be the first derivative of r**4 - 4*r**3/3 - 8*r**2 + 16*r + 23. Determine j so that y(j) = 0.
-2, 1, 2
Let j(x) = x - 13. Let s be j(9). Let v(m) = m**2 + 4*m + 3. Let n be v(s). Suppose -1/4*a**4 + 0*a - 1/4*a**2 - 1/2*a**n + 0 = 0. Calculate a.
-1, 0
Suppose -7 = -c - j + 3, c = 3*j + 22. Factor -2*l**3 - 4 + 4*l**2 + 2*l - c*l**4 + 11*l**4 + 2*l**2.
-2*(l - 1)**2*(l + 1)*(l + 2)
Let a be ((-39)/3)/(2/(-2)). Let k be (-2)/8 - a/(-12). Factor -1/3 + 4/3*o**2 + 1/6*o + k*o**3.
(o + 1)**2*(5*o - 2)/6
Let k be 12/(-15)*(11 + -1). Let l = 12 + k. Suppose 1/2*j - 23/4*j**3 + 1/4*j**2 + 5*j**l + 0 = 0. What is j?
-1/4, 0, 2/5, 1
Let t(m) be the first derivative of m**9/108 + 3*m**8/140 + m**7/105 + m**3 - 4. Let p(u) be the third derivative of t(u). Factor p(d).
4*d**3*(d + 1)*(7*d + 2)
Find h such that 15/4*h**4 + 9/2*h**3 + 3/4*h**2 + 0*h + 0 = 0.
-1, -1/5, 0
Let d be (1/5)/(4 + (-35)/10). Solve 2/5*u**5 + 2/5*u**4 + 0*u - d*u**3 - 2/5*u**2 + 0 = 0 for u.
-1, 0, 1
Let w = 74 - 72. Factor 0*d**w - 1/2*d**4 + 0 + 0*d - 1/2*d**3.
-d**3*(d + 1)/2
Let j be (-52 + 48)/(-1*26). Let 0*k**4 + 0*k**2 - j*k**5 + 4/13*k**3 - 2/13*k + 0 = 0. What is k?
-1, 0, 1
Suppose 7*b + 8 = 11*b. Factor -12*t**2 - 15*t**b - 11 + 23*t**2 - 5 - 16*t.
-4*(t + 2)**2
Let l(x) be the third derivative of -x**5/120 - 5*x**4/48 - x**3/2 - 6*x**2. Factor l(y).
-(y + 2)*(y + 3)/2
Find u such that -36*u + 1536*u**2 + 108*u**3 - 8 - 1536*u**2 = 0.
-1/3, 2/3
Factor 12/5 + 0*j - 3/5*j**2.
-3*(j - 2)*(j + 2)/5
Let x(a) be the first derivative of -1/3*a**6 + 4/25*a**5 + 1/2*a**4 - 1 - 4/15*a**3 + 0*a + 0*a**2. Find w, given that x(w) = 0.
-1, 0, 2/5, 1
Let o(r) be the first derivative of 0*r**3 - 1/2*r**4 + 0*r**2 + 0*r - 12/5*r**5 - 3*r**6 + 2. Factor o(m).
-2*m**3*(3*m + 1)**2
Let w be (-4)/2*(-6)/4. Solve 1 + 1 + 2*o**w + 1 - 2*o + 1 - 4*o**2 = 0 for o.
-1, 1, 2
Let c be (-1)/(-3) + (-1434)/(-18). Find s such that 12*s**2 - 20*s**3 + c - 80 + 8*s = 0.
-2/5, 0, 1
Let k(m) be the first derivative of 2*m**4/3 + 11*m**3/9 + m**2/2 + 9. Factor k(t).
t*(t + 1)*(8*t + 3)/3
Let x(j) be the third derivative of j**6/24 - j**5/6 + 5*j**4/24 - 3*j**2. Factor x(y).
5*y*(y - 1)**2
Let s be (3 + -2 + 1)/1. Suppose 3*v = s*x + 5, -v - 12 = -3*x - 3*v. Factor 0*l + 1/4 - 1/4*l**x.
-(l - 1)*(l + 1)/4
Let 2/13*m**4 + 4/13 + 2/13*m**3 - 6/13*m**2 - 2/13*m = 0. Calculate m.
-2, -1, 1
Suppose -8/5*b + 0 + 4/5*b**2 = 0. What is b?
0, 2
Let w(h) be the second derivative of h**5/120 - h**4/36 - 7*h**3/36 - h**2/3 - 36*h. Determine l so that w(l) = 0.
-1, 4
Factor -1/8*l**2 - 5/8 - 3/4*l.
-(l + 1)*(l + 5)/8
Let g be (-1*(-3)/5)/((-38)/(-190)). Suppose 0 = s + 4*s - 10. Let 0 + 0*y**s + 2/3*y**g - 1/3*y - 1/3*y**5 + 0*y**4 = 0. What is y?
-1, 0, 1
Let b be (1 - 16)/((-2)/(-5)). Let f = 38 + b. Solve -1/2*j**5 - 3*j**3 + 2*j**2 + 0 - f*j + 2*j**4 = 0 for j.
0, 1
Let n(v) = 7*v - 1. Let z be n(2). Suppose 2 - 10 = -4*i. Factor i + z*a**4 - 11*a**4 - 8*a**3 - 6*a + 0*a + 12*a**2 - 2*a.
2*(a - 1)**4
Let g be 1/(-4) - (-51)/12. Suppose 4*i**3 + 3*i**4 - 5*i**2 + i**2 + i**4 - g*i = 0. Calculate i.
-1, 0, 1
Let v(r) be the first derivati