 x(g) = g**5 + 3*g**4 + 2*g**3 - 2*g. Let u(k) = 6*k**5 + 16*k**4 + 10*k**3 - 11*k. Let s(p) = -2*u(p) + 11*x(p). Factor s(w).
-w**3*(w - 2)*(w + 1)
Let x(b) be the third derivative of -b**8/70560 + b**7/17640 + b**6/1260 - b**5/20 + 2*b**2. Let g(q) be the third derivative of x(q). Factor g(f).
-2*(f - 2)*(f + 1)/7
Let i be 20/25 - 4/6. Let b(p) be the second derivative of -i*p**5 - p + 1/9*p**3 + 0 - 1/6*p**4 + 0*p**2. Determine r, given that b(r) = 0.
-1, 0, 1/4
Let s = 1/56 + 221/168. Determine p so that s*p - 1/3 - p**2 = 0.
1/3, 1
Let h(l) be the third derivative of l**9/30240 + l**8/5040 + l**7/2520 + l**5/15 + 6*l**2. Let t(r) be the third derivative of h(r). Factor t(k).
2*k*(k + 1)**2
Suppose -2 = m - 2*m + j, 4 = 2*m + 5*j. Factor 0*r**2 + 5*r**m - 8 - 2*r**2 - r**2.
2*(r - 2)*(r + 2)
Let y(d) = d**3 + d**2 + d. Let g(u) = -8*u**3 - 5*u**2 - 2*u. Let p(t) = -g(t) - 5*y(t). Determine h so that p(h) = 0.
-1, 0, 1
What is f in -1/4*f + 0 + 1/4*f**2 = 0?
0, 1
Let -4*t + 60*t**2 + 5*t + t**3 - 62*t**2 = 0. Calculate t.
0, 1
Suppose 92*x**2 - 42*x**2 - 10 + 8*x - 48*x**2 = 0. Calculate x.
-5, 1
Factor -2/5*t**2 + 0 + 4/5*t - 2/5*t**3.
-2*t*(t - 1)*(t + 2)/5
What is t in 6/7*t**2 + 2/7*t**3 - 12/7*t - 16/7 = 0?
-4, -1, 2
Let x(o) be the second derivative of o**6/15 - 6*o**5/35 - 2*o**4/21 + 10*o. Factor x(z).
2*z**2*(z - 2)*(7*z + 2)/7
Let s(y) = -4*y + 35. Let j be s(8). Factor 1/5*t - 1/5*t**j - 1/5 + 1/5*t**2.
-(t - 1)**2*(t + 1)/5
Let b(s) be the third derivative of -s**7/105 + s**5/10 + s**4/6 + 30*s**2. Find q, given that b(q) = 0.
-1, 0, 2
Let h be 3*(0 + -1)*-1. Suppose -h*z + 12 = -3. Find c, given that 0*c - 1/3*c**z + 1/3*c**2 + 0 - 1/3*c**4 + 1/3*c**3 = 0.
-1, 0, 1
Let u(s) be the third derivative of -s**5/120 + s**4/72 + 33*s**2. Determine m, given that u(m) = 0.
0, 2/3
Solve -2/3*i**2 - 50/3 - 20/3*i = 0.
-5
Suppose -5*q + 11 = -54. Let u = q + -11. Factor -1/4*d + 0 - 1/4*d**u.
-d*(d + 1)/4
Let s = -4/7 - -26/21. Let g be 1/(9/6)*3. Factor 2/3*z**3 - 2*z**g - s + 2*z.
2*(z - 1)**3/3
Suppose i + 9 = 4*i. Suppose -7*c + i*c + 8 = 0. Solve -4*r - 2*r**c + 3*r - 2 + 5*r = 0.
1
Let r = -3 + 1. Let g be 2 - 4 - r - -2. Factor y**g + 4 + 0 - 5.
(y - 1)*(y + 1)
Let w(v) be the first derivative of 1/8*v**4 + 2/3*v**3 - 5 + v**2 + 0*v. Determine g so that w(g) = 0.
-2, 0
Let x(d) be the first derivative of -d**4 + 8*d**3 - 18*d**2 + 16*d + 21. Factor x(z).
-4*(z - 4)*(z - 1)**2
Suppose 94 - 4 = -5*u. Let m be ((-24)/154)/(u/63). Determine p so that -2/11*p + 8/11*p**3 + 0 + m*p**2 = 0.
-1, 0, 1/4
Let q be 1*(1 - (-2)/(-6)). Let -2/9*v - q*v**3 - 2/9*v**4 - 2/3*v**2 + 0 = 0. Calculate v.
-1, 0
Factor 1/7 - 1/7*w**2 + 0*w.
-(w - 1)*(w + 1)/7
Factor -3/2*c + 0 - 3/2*c**2 + 3/2*c**3 + 3/2*c**4.
3*c*(c - 1)*(c + 1)**2/2
Let -2/5*j**3 - 8/5 + 14/5*j - 4/5*j**2 = 0. What is j?
-4, 1
Factor m**4 - 2*m - 455*m**3 + 457*m**3 - 6 + 5.
(m - 1)*(m + 1)**3
Let o(n) be the second derivative of -7*n**6/480 - n**5/120 + n**2 + n. Let f(s) be the first derivative of o(s). Factor f(r).
-r**2*(7*r + 2)/4
Let y(n) be the first derivative of 0*n**3 - 3 + n + 0*n**4 + 0*n**2 + 1/10*n**5 + 1/21*n**7 + 2/15*n**6. Let v(f) be the first derivative of y(f). Factor v(z).
2*z**3*(z + 1)**2
Let v(x) be the second derivative of -x**6/60 + x**4/12 + 3*x**2/2 + 2*x. Let f(n) be the first derivative of v(n). What is c in f(c) = 0?
-1, 0, 1
Let q(a) be the third derivative of 3*a**2 + 0*a + 0 - 1/60*a**5 + 1/12*a**4 + 0*a**3. Factor q(t).
-t*(t - 2)
Let u(b) be the first derivative of -3/4*b**4 - 1/5*b**5 + 1/3*b**3 + 3 + 0*b + 1/6*b**6 + b**2. Factor u(k).
k*(k - 2)*(k - 1)*(k + 1)**2
Let a(j) be the second derivative of 1/3*j**2 + 3*j + 2/9*j**3 + 0 + 1/18*j**4. Factor a(w).
2*(w + 1)**2/3
Let w(t) be the second derivative of -1/9*t**4 - 5/18*t**3 - 1/60*t**5 + 0 - 1/3*t**2 - 2*t. Factor w(m).
-(m + 1)**2*(m + 2)/3
Let w(x) = -3*x**2 - 7*x + 5. Let g(z) be the second derivative of 11/6*z**3 + 5/12*z**4 + z + 0 - 4*z**2. Let d(o) = -5*g(o) - 8*w(o). Solve d(v) = 0 for v.
0, 1
Let a be 1 + -1 + -1 + 8. Suppose -3*f = -a + 1. Factor -1/2*v**3 + 0 - 2*v - f*v**2.
-v*(v + 2)**2/2
Let k(v) be the second derivative of -3/80*v**5 - 1/48*v**4 + 0 - 1/40*v**6 + v - 1/168*v**7 + 0*v**2 + 0*v**3. Factor k(i).
-i**2*(i + 1)**3/4
Let z(r) = r + 1. Let c be z(-1). Factor 5*y - 2*y + y**2 - 4*y + c*y**2.
y*(y - 1)
Let m(v) = 7*v**2 - v - 8. Let o(z) = z**2 - 1. Let h(w) = m(w) - 6*o(w). What is u in h(u) = 0?
-1, 2
Let y(b) be the first derivative of -b**6/12 - b**5/10 + b**4/8 + b**3/6 - 70. Solve y(h) = 0 for h.
-1, 0, 1
Let k(o) be the third derivative of -o**6/120 + o**5/10 - 3*o**4/8 - 8*o**2. Let k(n) = 0. What is n?
0, 3
Let b = 4 + -2. Suppose 5 = b*i - 7. Let j(d) = d**3 - d**2 + d + 3. Let n(l) = 4*l**3 - 3*l**2 + 4*l + 11. Let h(o) = i*n(o) - 22*j(o). Factor h(u).
2*u*(u + 1)**2
Determine j, given that -45*j**2 - 5*j**4 + 80*j**3 - 35*j + 48 - 22 - 45*j**3 + 24 = 0.
-1, 1, 2, 5
Let m(i) be the first derivative of -i**6/140 - i**5/30 + 4*i**3/21 - 9*i**2/2 + 4. Let n(t) be the second derivative of m(t). Solve n(q) = 0 for q.
-2, -1, 2/3
Let y = 40 - 34. Let v(a) be the second derivative of 0*a**2 + 0 - 2*a + 1/12*a**4 + 3/40*a**5 + 1/60*a**y + 0*a**3. What is n in v(n) = 0?
-2, -1, 0
Let i(k) be the first derivative of 2*k**3/21 + 3*k**2/7 + 4*k/7 + 33. What is x in i(x) = 0?
-2, -1
Suppose 3*p = 6, w = p + p - 2. Find i such that -3*i**w - 4*i**3 + i**3 + 6*i**3 = 0.
0, 1
Let y be 2 + (-3 - ((-24)/(-4))/(-3)). Let h(k) be the first derivative of -k**3 + 3/5*k**5 - 3/2*k**4 + 3*k**2 + y + 0*k. Factor h(b).
3*b*(b - 2)*(b - 1)*(b + 1)
Suppose -3*p + 13 + 83 = 0. Suppose p = -3*t + 7*t. What is o in -4*o**5 - 4*o + 2*o**4 - 4*o**2 + t*o**3 - 1 + 0*o**4 + 3 = 0?
-1, 1/2, 1
Let t = -77/2 + 39. Let i(f) be the second derivative of 0*f**2 + 0 - t*f**4 + 1/3*f**3 + 2*f. Find l, given that i(l) = 0.
0, 1/3
Let q = -5 - -8. Factor -2 - 2*t**3 + 0*t + 3*t + t**q.
-(t - 1)**2*(t + 2)
Let f be (-1 - 0)/((-7)/77). Let h = -9 + f. Suppose 2/9*c**h + 2/9 - 4/9*c = 0. Calculate c.
1
Let b(s) be the third derivative of s**5/40 - s**4/32 - 8*s**2. Suppose b(x) = 0. Calculate x.
0, 1/2
Let d be (6/(-7))/((-40)/140). Let n(h) be the first derivative of 0*h**2 + 1/4*h - 1 - 1/12*h**d. Factor n(a).
-(a - 1)*(a + 1)/4
Factor 1/6*f**3 - 1/3*f**2 - 1/6*f + 1/3.
(f - 2)*(f - 1)*(f + 1)/6
Let y(h) be the first derivative of -3*h**3 - 9*h**2/2 + 17*h - 3. Let l(k) = k**2 + k - 2. Let q(i) = -51*l(i) - 6*y(i). Let q(g) = 0. What is g?
-1, 0
Let q(p) be the third derivative of 189*p**6/80 - 3*p**5/4 - 11*p**4/12 + 2*p**3/3 + 2*p**2. Determine h, given that q(h) = 0.
-2/7, 2/9
Let i(n) = n**2 - n - 1. Let z(h) = -2*h**2 + h + 3. Let y(a) = i(a) + z(a). Let q(f) = -1. Let t(c) = 2*q(c) + y(c). Determine o, given that t(o) = 0.
0
Suppose 5*z - 24 = -9. Let f(w) be the third derivative of -3*w**2 + 0*w**z - 1/270*w**5 + 0 - 1/108*w**4 + 0*w. Determine y so that f(y) = 0.
-1, 0
Let n(b) be the second derivative of 0 - 1/28*b**4 - 6*b - 1/7*b**3 + 0*b**2. Determine f so that n(f) = 0.
-2, 0
Let y(x) be the third derivative of -x**7/560 - x**6/160 + x**4/32 + x**3/16 - 7*x**2. Find c such that y(c) = 0.
-1, 1
Let k(r) be the first derivative of -r**3 + 3*r + 12. Factor k(m).
-3*(m - 1)*(m + 1)
Let j(c) be the second derivative of 1/30*c**6 + 0*c**2 + 1/3*c**3 + 1/5*c**5 - 3*c + 5/12*c**4 + 0. Factor j(q).
q*(q + 1)**2*(q + 2)
Let f(v) = v + 15. Let m be f(-11). Suppose -3*i + 0*i**m + 3*i**4 - 3*i**4 - 3*i**5 + 6*i**3 = 0. What is i?
-1, 0, 1
Suppose 9 = -3*l - 5*v, -l + 4*v + 18 = 2*l. Let 0*s + 2/3*s**5 + 2/3*s**3 + 4/3*s**4 + 0 + 0*s**l = 0. Calculate s.
-1, 0
Suppose 2*b + 4*k + 6 = 0, 4*k = -k - 15. Suppose -3*h + 2*j = -4, -9*h - j = -4*h + 2. Factor -2*f**2 - 4*f + 1 + h*f - b.
-2*(f + 1)**2
Determine p so that 1/7*p**3 + 5/7*p - 2/7 - 4/7*p**2 = 0.
1, 2
Let c(f) be the third derivative of -f**7/1260 - f**6/540 + f**5/90 - f**3/6 + 3*f**2. Let j(u) be the first derivative of c(u). Factor j(d).
-2*d*(d - 1)*(d + 2)/3
Factor 28*s + 6 + 32*s**2 - 15*s + 9*s**3 + 14*s - 2*s**2.
3*(s + 1)*(s + 2)*(3*s + 1)
Let b(u) be the third derivative of -u**7/70 - 3*u**6/20 - 13*u**5/20 - 3*u**4/2 - 2*u**3 - 18*u**