Let s = 9 - 6. What is z in -k*z**2 - s + 6 - 1 = 0?
-1, 1
Let s be -2 - 18/8*-6. Let u = 12 - s. What is x in 0*x**3 + u*x**2 - 1/2*x**4 + 0 + 0*x = 0?
-1, 0, 1
Let d(u) = u**4 + u**3 + u - 1. Let w = 1 + -4. Let i(c) = 9*c**4 + 9*c**3 - c**2 + 7*c - 8. Let n(r) = w*i(r) + 24*d(r). Factor n(x).
-3*x*(x - 1)*(x + 1)**2
Let y(t) = -2*t + 6. Let g be y(3). Let a be 2 + (0/1)/(-2). Suppose g*d**2 - d**3 + 1 - 2 - 3*d**a - 3*d + 0 = 0. Calculate d.
-1
Let f be (-14 + 6)*18/4. Let i be f/(-14) - (-7 - -9). Determine a, given that -i*a - 2/7*a**2 - 2/7 = 0.
-1
Let i(a) be the third derivative of a**9/8640 - a**8/1680 + a**7/1680 + a**6/360 + a**5/30 - a**2. Let s(h) be the third derivative of i(h). Factor s(d).
(d - 1)**2*(7*d + 2)
Suppose x + 5*w + 17 = 0, w - 14 = 3*x - 43. Suppose -3*i + x = i. Factor -6 + c**2 + 2*c + 0*c**i + 2 + c**2.
2*(c - 1)*(c + 2)
Suppose -22 = 5*v - 82. Suppose -3*j - j = -v. Factor -7 - 2*l + 7 + l**j - l**2.
l*(l - 2)*(l + 1)
Let m(n) be the first derivative of -1/4*n**4 - 4*n + 0*n**2 + 1/2*n**3 + 1/10*n**6 - 3/20*n**5 - 4. Let x(s) be the first derivative of m(s). Factor x(l).
3*l*(l - 1)**2*(l + 1)
Let w(n) be the second derivative of 4*n**7/21 - 11*n**6/15 + 9*n**5/10 - n**4/6 - n**3/3 - 19*n. Solve w(f) = 0.
-1/4, 0, 1
Let q = -124 + 124. Let h(r) be the third derivative of 1/180*r**6 + 0*r**4 - 1/180*r**5 + 0*r + 2*r**2 - 1/630*r**7 + 0*r**3 + q. Factor h(c).
-c**2*(c - 1)**2/3
Let m be 0 - (1 - (4 - 1)). Factor -1/2*l - 1/4*l**m - 1/4.
-(l + 1)**2/4
Let j(k) be the first derivative of -4*k**5 + 8*k**4 - 4*k**3/3 - 4*k**2 - 9. Factor j(c).
-4*c*(c - 1)**2*(5*c + 2)
Let j(p) be the second derivative of -1/189*p**7 + 2*p + 0*p**2 + 1/135*p**6 + 0 + 0*p**4 + 0*p**5 + 0*p**3. Find h, given that j(h) = 0.
0, 1
Let -2/11*z**2 + 4/11*z**3 + 0 - 2/11*z**4 + 0*z = 0. Calculate z.
0, 1
Factor 16/7 + 16*g - 72*g**3 + 52/7*g**2 + 324/7*g**4.
4*(g - 1)**2*(9*g + 2)**2/7
Factor 1/5*f**2 + 1/5*f**3 - 1/5 - 1/5*f.
(f - 1)*(f + 1)**2/5
Let v(r) be the first derivative of 2*r**5/45 + r**4/36 + 4*r**2 - 2. Let q(t) be the second derivative of v(t). Determine j, given that q(j) = 0.
-1/4, 0
Suppose -8*m + 2 = -7*m. Let p = -167/4 - -42. Factor p*f**4 + 0 + 1/4*f**m + 0*f - 1/2*f**3.
f**2*(f - 1)**2/4
Let g(r) be the third derivative of 0*r**3 - 1/60*r**5 + 0 + 0*r - 1/36*r**4 + 2*r**2 - 1/360*r**6. Factor g(q).
-q*(q + 1)*(q + 2)/3
Let u(y) = -y**4 + y**3 - y - 1. Let m(i) = -2*i**4 - i**3 - 3*i**2 + i - 5. Let r(z) = -m(z) + 5*u(z). Factor r(x).
-3*x*(x - 2)*(x - 1)*(x + 1)
Factor -162*k**2 + 12 - 2 + 662*k**2 + 35 + 300*k.
5*(10*k + 3)**2
Suppose -2*r + r = 8. Let x = r + 8. What is a in -1/3*a**5 + 1/3*a**3 + x - 1/3*a**4 + 1/3*a**2 + 0*a = 0?
-1, 0, 1
Let y(c) be the third derivative of -2*c**2 - 1/48*c**5 + 1/2688*c**8 + 0 - 1/48*c**3 - 1/336*c**7 + 5/192*c**4 + 1/96*c**6 + 0*c. Factor y(n).
(n - 1)**5/8
Let i(w) = -w**3 + 4*w**2 + 6*w - 2. Let v be i(5). What is j in 19*j**2 - 1 + 1 + j**v + j - 21*j**2 = 0?
0, 1
Let d(t) = t**3 - 4*t**2 - 4*t - 5. Let a be d(5). Suppose a*o - 3 = -3*o. Factor -5*u - 2 - 5*u - 3*u**2 - o + 4*u.
-3*(u + 1)**2
What is s in 5*s**2 + 6*s + 5*s - 10*s - s**3 + 7 - 12*s**2 = 0?
-7, -1, 1
Let c = -9 + 28/3. Let c*s + 0 - 1/3*s**2 + 1/3*s**4 - 1/3*s**3 = 0. What is s?
-1, 0, 1
Factor 2/3*l**2 + 0*l - 1/3*l**3 + 0.
-l**2*(l - 2)/3
Let d(s) be the second derivative of -4*s**3 + 0 - 8*s**4 - 3*s - s**2 - 32/5*s**5. Suppose d(w) = 0. What is w?
-1/4
Find g, given that 8 - 8*g**2 - 36 - 4*g**2 - 88*g = 0.
-7, -1/3
Suppose -2*w = -w. Suppose 4*d - 11 - 1 = w. Factor f + 0*f**d - 14*f**2 - 4*f**3 + 3*f + 14*f**4.
2*f*(f - 1)*(f + 1)*(7*f - 2)
Let -2/3*d - 2/3 + 2/3*d**2 + 2/3*d**3 = 0. Calculate d.
-1, 1
Let t = -22 - -24. Let r(x) be the first derivative of 1/4*x**4 + 0*x + 0*x**t + 1/3*x**3 + 1. Factor r(m).
m**2*(m + 1)
Let z(d) be the third derivative of d**7/70 + d**6/4 + 9*d**5/5 + 7*d**4 + 16*d**3 + 5*d**2. Determine b, given that z(b) = 0.
-4, -2
Suppose 11 - 36 = -5*k. Suppose -2*b - k*c = 0, b = -c - 0*c. Let b + 0*p + 2/3*p**5 + 0*p**2 + 2/3*p**3 + 4/3*p**4 = 0. What is p?
-1, 0
Let x(o) = -11*o + 59. Let v be x(5). Let t(u) be the first derivative of 0*u + 1 + 1/14*u**v - 1/7*u**2 + 2/21*u**3 - 2/35*u**5. Factor t(m).
-2*m*(m - 1)**2*(m + 1)/7
Let c be 5/(-1)*36/(-45). Let k(j) be the first derivative of 4/5*j + 8/15*j**3 + 1/10*j**c + 1 + j**2. Factor k(t).
2*(t + 1)**2*(t + 2)/5
Let i(h) = h**2 + 2*h - 1. Let s be i(-3). Let f(n) = n. Let u(c) = -c**2 + 3*c. Let m(a) = s*f(a) - u(a). Factor m(w).
w*(w - 1)
Let f be (-4)/((-12)/(-21)) + 0. Let z = f - -11. Factor 0*u - 4/7*u**2 + 2/7*u**z + 0*u**3 + 2/7.
2*(u - 1)**2*(u + 1)**2/7
Let g(h) be the first derivative of 54*h**5/5 - 6*h**3 + 2*h**2 + 9. Factor g(r).
2*r*(3*r - 1)**2*(3*r + 2)
Let t(m) be the second derivative of -9*m**5/100 - m**4/5 + m**3/10 + 3*m**2/5 - 5*m. Factor t(g).
-3*(g + 1)**2*(3*g - 2)/5
Let s be (2*5/(-20))/(-1). Suppose 1/4*k**3 + s - 1/4*k - 1/2*k**2 = 0. Calculate k.
-1, 1, 2
Let m(z) be the third derivative of z**8/40320 + z**5/20 + 3*z**2. Let k(o) be the third derivative of m(o). Solve k(b) = 0 for b.
0
Suppose -39*l - 12 = -45*l. Factor -p - 3/2 + 1/2*p**l.
(p - 3)*(p + 1)/2
Let d be 8/(-2*(-1)/4). Let y be (-10)/4*d/(-20). Factor -1/3*q**4 - q**3 - q**y - 1/3*q + 0.
-q*(q + 1)**3/3
Suppose t + 6 = 14. Let r(d) be the third derivative of 0*d**7 - 2*d**2 + 0*d + 0 - 1/60*d**6 + 0*d**5 + 0*d**3 + 0*d**4 + 1/168*d**t. Factor r(w).
2*w**3*(w - 1)*(w + 1)
Suppose 0 - 2*r**3 + 6/5*r - 4/5*r**2 = 0. What is r?
-1, 0, 3/5
Let s(n) be the second derivative of 0*n**2 + 0 - n - 1/6*n**4 + 1/10*n**5 - 2/3*n**3. Factor s(r).
2*r*(r - 2)*(r + 1)
Let n(c) be the third derivative of c**5/35 - c**4/84 + 18*c**2. Suppose n(j) = 0. Calculate j.
0, 1/6
Suppose 4*d = 2*f + 10, -4 - 5 = -4*d + f. Suppose h**d + 0 + 1/4*h + 3/2*h**3 + h**4 + 1/4*h**5 = 0. What is h?
-1, 0
Let r be (0/((-9)/(-3) + -1))/(-1). Find o, given that 1/4*o**3 + r*o - 1/4*o**2 + 0 = 0.
0, 1
Let u be (4 + (-14)/4)*4. Factor p**2 - 1 + 2 - p**3 + p - u.
-(p - 1)**2*(p + 1)
Let h(x) = -x**2 - x - 4. Let l(r) = -1. Let k(t) = h(t) - 6*l(t). Suppose k(m) = 0. What is m?
-2, 1
Let u be (6/14)/(6/4). Let w = 526/273 + 14/39. Factor -8/7 - u*q**3 - w*q - 10/7*q**2.
-2*(q + 1)*(q + 2)**2/7
Let p(c) = -14*c**2 + 8*c - 8. Let z(w) = 9*w**2 - 5*w + 5. Let l(r) = -5*p(r) - 8*z(r). Let l(g) = 0. Calculate g.
0
Let u(l) be the first derivative of 1/4*l**4 + 0*l**2 - 1 + 0*l**3 + 0*l. Solve u(j) = 0 for j.
0
Suppose -82/5*x**2 - 34/5*x - 22/5*x**3 + 86/5*x**4 - 4/5 + 56/5*x**5 = 0. What is x?
-1, -2/7, -1/4, 1
Let g(w) be the third derivative of w**5/90 - w**4/12 + 2*w**3/9 + 7*w**2. Factor g(v).
2*(v - 2)*(v - 1)/3
Let h(f) be the first derivative of -f**5/5 - 3*f**4/4 - 2*f**3/3 + 1. Suppose h(b) = 0. Calculate b.
-2, -1, 0
Suppose -2*i = 2*h - 8, -h + 2*i + 3 = 2. Suppose h*z + 4 = 5*z. Find f such that 2*f**5 + z*f**4 - 3*f**5 + f**3 - f**5 + 3*f**5 = 0.
-1, 0
Let a(r) be the first derivative of -3*r**4 - 20*r**3/3 + 4*r**2 - 3. Factor a(h).
-4*h*(h + 2)*(3*h - 1)
Solve -5*v + 5 + 5 - 4*v**3 - 7*v - 6 + 12*v**2 = 0 for v.
1
Let k be 2/28 - 2/(-4). Let z = -9/28 + k. Factor -z*o**2 - 1/4*o**3 + 0*o + 0.
-o**2*(o + 1)/4
Let a be (-52)/(-14) - 10/(-35). Suppose a = -3*o + 13. Factor x**4 + 2 + x**4 - x**2 - o*x**2.
2*(x - 1)**2*(x + 1)**2
Let z(x) be the first derivative of -9*x**6/2 + 36*x**5/5 - 3*x**4 - 13. Factor z(f).
-3*f**3*(3*f - 2)**2
Factor 8/5*m + 0 - 36/5*m**2 + 28/5*m**3.
4*m*(m - 1)*(7*m - 2)/5
Let s(v) be the first derivative of 2*v**3/21 - 6*v**2/7 + 18*v/7 - 7. Factor s(f).
2*(f - 3)**2/7
Let k(o) be the first derivative of o**4/12 + o**3/6 + 4*o - 2. Let h(d) be the first derivative of k(d). Factor h(w).
w*(w + 1)
Factor -4/5 + 6/5*l**3 + 12/5*l - 1/5*l**4 - 13/5*l**2.
-(l - 2)**2*(l - 1)**2/5
Let z(n) be the first derivative of -49*n**3/8 + 105*n**2/8 - 75*n/8 + 1. Solve z(i) = 0 for i.
5/7
Let n(w) be the third derivative of w**6/280 - w**5/35 + w**4/14 - 18*w**2. Solve n(s) = 0 for s.
0, 2
Let q be 2 + -1 - (-16)/(-48). Let q*m + 2/3*m**2 + 0 = 0. Calculate m.
-1, 0
Let g(t) be the first derivative of t**4/4 + 2*t**3/3 - t**2/2 - 2*t + 5. Find u, given 