**4 + 8/7*w**3 - 8/7*w**2 + 0 = 0?
0, 2
Factor -5/4*q**2 + 1 - 2*q.
-(q + 2)*(5*q - 2)/4
Let t be (4/18)/(8*(-3)/(-18)). Let o(u) be the second derivative of -1/10*u**5 + 0*u**2 + t*u**4 + 0*u**3 + u + 0. Factor o(s).
-2*s**2*(s - 1)
Let q(w) be the third derivative of 0*w + 1/45*w**5 + 0 - 1/9*w**3 - 1/90*w**6 + 1/36*w**4 + 1/504*w**8 - 3*w**2 - 1/315*w**7. What is k in q(k) = 0?
-1, 1
Let n be (0 - (1 - -1)) + 2 + 2. Factor -4/3 - 1/3*d**n - 4/3*d.
-(d + 2)**2/3
Let j(n) = -4*n**2 + 7*n - 5. Let o(w) = -5*w**2 + 8*w - 6. Let v(x) = -6*j(x) + 5*o(x). Factor v(r).
-r*(r + 2)
Let a(d) be the third derivative of -1/70*d**7 - 7/8*d**4 - 1/8*d**6 - 9/20*d**5 + 0*d + 4*d**2 + 0 - d**3. Determine g so that a(g) = 0.
-2, -1
Let a(v) = -v**3 + 6*v**3 + 0*v**2 - 2*v**2 + 1 + 0. Let c be a(1). Let -2*z + 6*z + 10*z**3 + 24*z**2 - 2*z + 16*z + c = 0. Calculate z.
-1, -2/5
Let l = 11 + -8. Determine c, given that -3*c**4 + 5*c**5 - 6*c**5 + 7*c**5 + l*c**5 = 0.
0, 1/3
Let a(t) = -t. Let u be a(-4). Suppose 0*y + 2*y = u. Factor -2*w**2 - w + w + w**y.
-w**2
Suppose 0 = -6*n - 90 + 90. Solve n + 0*k**2 - 1/2*k**3 + 2/3*k + 1/6*k**4 = 0.
-1, 0, 2
Let b(d) = -2*d**3 + d**2. Let l(f) = -7*f**3 + 4*f**2. Let i(j) = 22*b(j) - 6*l(j). Suppose i(a) = 0. Calculate a.
-1, 0
Suppose -n - 4 = 3*t + t, 32 = n - 5*t. Determine s, given that n*s + s**2 + s**2 - 14*s = 0.
0, 1
Suppose 22*z**3 - 2*z**2 - 46*z**3 + 23*z**3 - z = 0. What is z?
-1, 0
Let y(w) be the second derivative of -1/3*w**3 + 1/10*w**5 - 1/3*w**4 + 0 + 2*w**2 - 3*w. Solve y(m) = 0.
-1, 1, 2
Let g be 56/90 + ((-32)/(-18) - 2). Factor 0*b**2 + g*b - 2/5*b**3 + 0.
-2*b*(b - 1)*(b + 1)/5
Let t(i) be the third derivative of 3*i**8/28 - 16*i**7/35 + 11*i**6/15 - 8*i**5/15 + i**4/6 - 6*i**2. Factor t(j).
4*j*(j - 1)**2*(3*j - 1)**2
Let l(i) be the second derivative of 1/25*i**6 + 3/100*i**5 + 0 + 0*i**2 + 0*i**4 - 2*i + 0*i**3 + 1/70*i**7. Solve l(t) = 0.
-1, 0
Factor 9*m - 38*m**3 + 105*m**2 - 65*m**3 - 6 - 5*m**3.
-3*(m - 1)*(4*m + 1)*(9*m - 2)
Let i = -55 + 37. Let x be i/(-12)*(-4)/(-9). Solve 0 - 14/9*g**2 + 16/9*g**3 - x*g**4 + 4/9*g = 0 for g.
0, 2/3, 1
Let m(f) = f**3 - 8*f**2 + f + 3. Let h be m(8). Suppose 2*j = -w - 4*w + 7, -j + h = 5*w. Determine b, given that w*b + 1 - b**2 - 3*b = 0.
-1, 1
Let u(w) be the second derivative of 1/42*w**4 + 0*w**3 + 0 - 7*w + 0*w**2. Factor u(l).
2*l**2/7
Solve 3/4*n**3 + 3/2*n**2 - 3/4*n - 3/2 = 0 for n.
-2, -1, 1
Factor 2/11*h**3 + 6/11*h + 6/11*h**2 + 2/11.
2*(h + 1)**3/11
Let t be (-2)/12*(-5)/((-40)/(-36)). Find b such that -t*b**2 + 0 + 0*b = 0.
0
Let x(o) be the second derivative of o**7/1680 - o**6/720 - o**5/120 - o**3/2 - 3*o. Let q(r) be the second derivative of x(r). Let q(k) = 0. What is k?
-1, 0, 2
Let z(s) be the first derivative of -s**5/5 + s**4 - 4*s**3/3 + 2*s + 8. Let p(g) be the first derivative of z(g). Suppose p(h) = 0. What is h?
0, 1, 2
Let s(i) = i**4 + 11*i**3 - 3*i**2 - 9*i. Let d(b) = -6*b**4 - 78*b**3 + 21*b**2 + 63*b. Let r(t) = 2*d(t) + 15*s(t). Determine q, given that r(q) = 0.
-3, -1, 0, 1
Suppose -8*q = 7*q - 5*q. Let u(r) be the second derivative of 0 + 0*r**2 - 1/30*r**5 - 1/36*r**4 + q*r**3 + 4*r - 1/90*r**6. Factor u(j).
-j**2*(j + 1)**2/3
Let z(c) be the first derivative of c**3/2 - 15*c**2/8 + 3*c/2 - 2. Factor z(i).
3*(i - 2)*(2*i - 1)/4
Factor -29*j - 2*j**2 + 35*j + 0*j**2.
-2*j*(j - 3)
Let t be 7/2 + (-1)/(-2). Let d(y) be the third derivative of 1/300*y**6 + 0*y + 0 - 1/30*y**t - 1/150*y**5 + 0*y**3 + 3*y**2. Solve d(r) = 0 for r.
-1, 0, 2
Let y(f) be the second derivative of f**4/10 - 18*f**3/5 + 243*f**2/5 + 38*f. Factor y(u).
6*(u - 9)**2/5
Suppose 0 = 9*y - 10*y - 10. Let n be 25/y*3/(-5). Determine s so that -9/2*s**4 - 9/2*s**3 + 0*s + 0 - n*s**2 - 3/2*s**5 = 0.
-1, 0
Let l(x) = -x**2 - 12*x - 23. Let a be l(-9). Determine w so that -4/11*w + 4/11*w**3 + 2/11 + 0*w**2 - 2/11*w**a = 0.
-1, 1
Suppose 5*k + 3*o = 27, 7*k = 3*k - 5*o + 32. Factor 4*p + 12*p**k - 1 - 3 + 19*p**2 - 2*p**2 + 3*p**2.
4*(p + 1)**2*(3*p - 1)
Let m(l) = -l**2. Let s(x) = -12*x**2 - 4*x. Let a(i) = 8*m(i) - s(i). Factor a(c).
4*c*(c + 1)
Let d(k) be the first derivative of 3*k**5/20 + 3*k**4/4 + 3*k**3/2 + 3*k**2/2 - 5*k - 5. Let x(a) be the first derivative of d(a). Factor x(v).
3*(v + 1)**3
Suppose 3/2*j - 1/2*j**3 + 0*j**2 + 1 = 0. What is j?
-1, 2
Let 208*i**4 + 24 - 402*i**3 + 9*i**2 + 160*i + 33*i**2 + 100*i**2 - 32*i**5 = 0. Calculate i.
-1/4, 2, 3
Let m(x) be the first derivative of x**6/12 + 17*x**5/50 + 21*x**4/40 + 11*x**3/30 + x**2/10 - 17. Suppose m(d) = 0. Calculate d.
-1, -2/5, 0
Suppose 0*o**2 - 4*o**2 + 4*o**2 - 4*o**2 + 4*o**4 = 0. What is o?
-1, 0, 1
Let h(q) be the third derivative of 5*q**2 + 5/108*q**4 + 1/27*q**5 + 1/1512*q**8 + 0 + 1/54*q**6 + 1/27*q**3 + 1/189*q**7 + 0*q. Factor h(t).
2*(t + 1)**5/9
Let u = 20/21 - 2/3. Determine l so that u*l - 4/7 + 2/7*l**2 = 0.
-2, 1
Let z(g) = -2*g - 3. Let u be z(-5). Factor -4*y**3 + 4*y**2 + 4*y + u*y**3 - 3*y.
y*(y + 1)*(3*y + 1)
Let f(t) = -t**5 - t**4 + t**2 - t + 1. Let z(x) = 5*x**5 + 2*x**4 - 9*x**3 + 4*x**2 + 2*x - 2. Let s(h) = -2*f(h) - z(h). What is q in s(q) = 0?
-2, 0, 1
Let r(m) be the first derivative of -m**4/24 + m**3/18 + 6. Determine k, given that r(k) = 0.
0, 1
Let -11*b**2 + 6*b**2 + 6*b**2 - 2 - b = 0. What is b?
-1, 2
Suppose -2/9*r**5 + 4/9*r + 2/3*r**4 + 0 - 2/3*r**2 - 2/9*r**3 = 0. Calculate r.
-1, 0, 1, 2
Let l(v) = v**2 + 8*v + 3. Let r be l(-8). Let b(a) be the second derivative of 0*a**2 - a + 0 - 1/36*a**4 - 1/18*a**r. Factor b(y).
-y*(y + 1)/3
Let j(o) be the first derivative of -o**6/33 - 6*o**5/55 - 44. Factor j(y).
-2*y**4*(y + 3)/11
Let f(w) = w**3 - w**2 + 6*w + 1. Let b(p) = -13*p + 24*p - 12*p. Let r(c) = 14*b(c) + 2*f(c). Solve r(z) = 0.
-1, 1
Let s(t) = -t**2 - 17*t - 6. Let m(i) = 9*i + 3. Let n(o) = -5*m(o) - 3*s(o). Determine p so that n(p) = 0.
-1
Let a(f) be the second derivative of f**5/20 + 3*f**4/8 + f**3 + 7*f**2/2 - 2*f. Let i(b) be the first derivative of a(b). Let i(k) = 0. Calculate k.
-2, -1
Factor 0*k**2 + 3*k**3 - 3*k**2 + 3*k**3 + 3*k**4 + 6*k**2.
3*k**2*(k + 1)**2
Factor 11*q**4 - 8*q**3 - 2*q**2 + 6*q**2 - 4*q**4 + 8*q - 6 - 5*q**4.
2*(q - 3)*(q - 1)**2*(q + 1)
Let i(h) be the third derivative of -h**6/1020 + h**4/68 - 2*h**3/51 - 8*h**2. What is b in i(b) = 0?
-2, 1
Let h(x) be the second derivative of -x**6/45 + x**5/30 + 6*x - 3. Factor h(a).
-2*a**3*(a - 1)/3
Let x(l) be the first derivative of -27/7*l + 5/7*l**3 + 9/14*l**2 + 3/28*l**4 - 2. Factor x(j).
3*(j - 1)*(j + 3)**2/7
Suppose -9 = -2*w - w. Determine a so that -147*a**w - 180*a + 61*a**2 - 10 - 14 - 439*a**2 = 0.
-2, -2/7
Let v(l) = 4*l**5 + 2*l**4 - l**3 + l**2 + 3*l + 3. Let m(o) = 3*o**5 + 2*o**4 - o**3 + 2*o + 2. Let a(i) = -3*m(i) + 2*v(i). Factor a(g).
-g**2*(g - 1)*(g + 1)*(g + 2)
Factor -17*j**3 - 491*j + 491*j + 18*j**2 + 5*j**3 + 2*j**4.
2*j**2*(j - 3)**2
Suppose -y = -3*y. Let n = 2 + y. Suppose -2*w**3 - w**n + 2*w**4 - w**2 - w + 3*w = 0. Calculate w.
-1, 0, 1
Let d(a) be the second derivative of 0*a**2 - 2*a - 1/2*a**4 + 1/3*a**3 - 1/15*a**6 + 3/10*a**5 + 0. Find w, given that d(w) = 0.
0, 1
Factor 16/5*x - 64/5 - 1/5*x**2.
-(x - 8)**2/5
Let o(c) = -17*c**2 - 25*c - 8. Let l = 22 - 24. Let u(z) = -16*z**2 - 24*z - 8. Let x(t) = l*o(t) + 3*u(t). Factor x(s).
-2*(s + 1)*(7*s + 4)
Let j(h) be the first derivative of h**6/48 + h**5/10 + 3*h**4/32 - h**3/6 - h**2/4 - 29. Solve j(i) = 0.
-2, -1, 0, 1
Let j(v) be the third derivative of -v**7/315 - v**6/60 - v**5/90 + v**4/12 + 2*v**3/9 - 5*v**2. Determine i, given that j(i) = 0.
-2, -1, 1
Let j = 10 + -6. Solve 0*c**4 - 28*c**2 + 4*c**5 + 16 + 21*c**j - 9*c**4 - 4*c**3 = 0 for c.
-2, -1, 1
Suppose -37*v + 198 = -34*v. Factor 18*x - 28*x**2 - 5 + 21 - v*x.
-4*(x + 2)*(7*x - 2)
Let z(c) be the third derivative of -5*c**8/336 - 5*c**7/42 - 3*c**6/8 - 7*c**5/12 - 5*c**4/12 - 10*c**2. Solve z(h) = 0 for h.
-2, -1, 0
Solve 4*n - 24/5 + 4/5*n**2 = 0.
-6, 1
Let h = -4/9 + 10/9. Let j(b) = b**3 + 14*b**2 + 14*b + 16. Let d be j(-13). Solve -2/3*t**d + 0 + 0*t + h*t**2 = 0.
0, 1
Let y = 11 - 9. Find b such that 2*b**y + 7*b - 2*b + 9*b + 18 - 2*b = 0.
-3
Factor 3 + 49*m**4 + 25*m**2 - 7*m**2 - 44*m + 5