se t*w - 21 = -3*w. Determine i so that 4*i**2 + 7*i + 4 - 6*i**2 - 2 + 0 - w*i**3 = 0.
-1, -2/7, 1
Suppose -5*n + 3*r + 112 = 0, 3*n - 5*r = 121 - 41. Suppose -2 = 3*b - n. Factor 16*w**4 - w + 8*w**5 + b*w**4 - 5*w + 2*w**2 + 4*w + 18*w**3.
2*w*(w + 1)**3*(4*w - 1)
Let f = 1 + 0. Let k be 0 + 0 + (-4 - -6). Suppose -k*z - z**2 + f + z + 1 = 0. What is z?
-2, 1
Suppose 0*u**5 + 160*u**2 + 120*u**4 - 28*u**5 - 37*u - 200*u**3 + 8 - 23*u = 0. What is u?
2/7, 1
Let f(a) be the second derivative of -2/3*a**3 + 0*a**4 + 0*a**2 + 1/5*a**5 + 0 - 6*a. Let f(y) = 0. Calculate y.
-1, 0, 1
Let m(h) be the second derivative of h**4/4 + 4*h**3 + 24*h**2 + 21*h. Find y such that m(y) = 0.
-4
Let j(a) = a + 12. Let s be j(-12). Factor s*z**5 + 2*z - 4*z**3 + z**5 + z**5.
2*z*(z - 1)**2*(z + 1)**2
Suppose 2/3*q + 2/3*q**4 + 0 - 2/3*q**2 - 2/3*q**3 = 0. Calculate q.
-1, 0, 1
Let u(k) be the first derivative of -k**6/1620 - k**5/270 - k**3/3 - 2. Let n(c) be the third derivative of u(c). Factor n(q).
-2*q*(q + 2)/9
Factor -2/15 + 2/15*w - 2/15*w**4 - 4/15*w**3 + 4/15*w**2 + 2/15*w**5.
2*(w - 1)**3*(w + 1)**2/15
Let n = -39 - -44. Let m(v) be the third derivative of 0*v**3 + 1/390*v**n + 0*v + 1/156*v**4 + 0 + 2*v**2. Let m(i) = 0. Calculate i.
-1, 0
Suppose 5*q = 2*c + 3*c - 5, 0 = q + 4*c - 24. Factor 4*y**q + 3*y**2 - 2 - 6*y**4 + y**2.
-2*(y - 1)**2*(y + 1)**2
Let s(m) be the second derivative of -m**9/3024 + m**8/1680 + m**7/840 - m**6/360 + m**3/2 + 4*m. Let i(c) be the second derivative of s(c). Factor i(q).
-q**2*(q - 1)**2*(q + 1)
Let k be -1*10*(-10 - (-1067)/110). Suppose 2/13*f**k - 2/13*f + 2/13*f**2 + 0 - 2/13*f**4 = 0. What is f?
-1, 0, 1
Let k(a) = a**3 + 6*a**2 + 4*a - 6. Let u be k(-5). Let b = 3 - u. Solve -2/9*i**3 + 0*i**2 + 0*i**b + 0 + 2/9*i**5 + 0*i = 0.
-1, 0, 1
Let r = -40 - -40. Let t(i) be the third derivative of 0*i**4 + 1/120*i**6 + 0 + 3*i**2 + 0*i + 1/60*i**5 + r*i**3. Factor t(q).
q**2*(q + 1)
Let t(l) be the third derivative of -l**6/1260 + l**5/210 - l**4/84 + l**3/3 + 2*l**2. Let c(m) be the first derivative of t(m). Factor c(o).
-2*(o - 1)**2/7
Let a be -4 + (333/24)/3. Let n(p) be the first derivative of -7/6*p**6 + 0*p**2 + 1/3*p**3 - 2 + 0*p + a*p**4 - 11/10*p**5. Let n(l) = 0. What is l?
-1, -2/7, 0, 1/2
Let p(n) = 6*n**5 - 4*n**4 - 4*n**3 - n**2 + 3*n + 3. Let c(h) = h**4 - h - 1. Let x(f) = 3*c(f) + p(f). Let x(w) = 0. Calculate w.
-1/2, -1/3, 0, 1
Suppose 5*g - 5*w = 20, -5*g - 12 = 4*w - w. Factor -1/4*s**3 + 3/4*s**4 + 0*s - 1/2*s**2 + g.
s**2*(s - 1)*(3*s + 2)/4
Let k = -971307/70 - -13877. Let t = k - 9/10. Factor 2/7*s**5 + 0*s - 2/7*s**4 + 2/7*s**2 + 0 - t*s**3.
2*s**2*(s - 1)**2*(s + 1)/7
Factor 108*a - 9*a**2 - 432 + 1/4*a**3.
(a - 12)**3/4
Let v(n) be the first derivative of -n**7/210 + n**5/20 - n**4/12 - 5*n**2/2 - 3. Let d(i) be the second derivative of v(i). Factor d(x).
-x*(x - 1)**2*(x + 2)
Let t(n) be the second derivative of -3*n**5/20 + 5*n**4/4 - 7*n**3/2 + 9*n**2/2 + 20*n. Determine r, given that t(r) = 0.
1, 3
Suppose -5*l + 13 + 2 = 0. Suppose 5*d = l*f - 5*f, d - 12 = 2*f. Solve 0*h**2 + d*h**2 + 2*h - 2 - 2*h**3 + 0 = 0.
-1, 1
Let q(m) be the third derivative of -m**5/75 + m**4/20 - m**3/15 + 8*m**2. Find v, given that q(v) = 0.
1/2, 1
Let a(y) be the third derivative of -y**8/13440 - y**7/5040 - y**4/6 + 3*y**2. Let v(p) be the second derivative of a(p). Solve v(b) = 0 for b.
-1, 0
Factor t**5 + t**4 + t**3 + t**2 - 2*t**2 - 2*t**3.
t**2*(t - 1)*(t + 1)**2
Let a = -627 + 31349/50. Let k = a + 27/100. Factor 0*u + 0 - k*u**2.
-u**2/4
Determine l so that -52/19*l**2 + 16/19 - 40/19*l - 14/19*l**3 = 0.
-2, 2/7
Let v(q) be the second derivative of -3*q**4/4 - q**3/2 + 5*q. Solve v(t) = 0 for t.
-1/3, 0
Let f(u) be the third derivative of -u**5/20 - u**4/84 - 25*u**2. What is w in f(w) = 0?
-2/21, 0
Let j(i) be the first derivative of 0*i + 1/12*i**3 - 2 + 0*i**2. Suppose j(o) = 0. What is o?
0
Let v be ((-2)/(-54))/((-4)/(-24)). Let 2/9 - 2/9*p**2 - 2/9*p + v*p**3 = 0. Calculate p.
-1, 1
Let x(u) be the second derivative of u**5/100 - u**4/60 - u**3/6 - 3*u**2/10 + 15*u. Determine q, given that x(q) = 0.
-1, 3
Suppose 0 = -2*w - 3*w + 20. Suppose 4*m = w*n + 28, -m - 3*n = 3 - 2. Factor 2/3*o**m + 4/3*o**3 + 2*o**4 - 2*o - 2/3 - 4/3*o**2.
2*(o - 1)*(o + 1)**4/3
Suppose -s**3 + 4*s**4 + s**4 - 14*s**4 + 4 + 27*s**2 - 24*s + 3*s**3 = 0. What is s?
-2, 2/9, 1
Let f be (2/2)/(10/30). Factor 0*o**2 - 2/7*o + 0 + 2/7*o**f.
2*o*(o - 1)*(o + 1)/7
Find y such that 30*y**5 + 5*y**3 - 5*y**2 + 5*y**4 - 70*y**5 + 35*y**5 = 0.
-1, 0, 1
Let o(y) be the first derivative of 1/3*y**2 + 4/9*y + 4 + 2/27*y**3. Determine x, given that o(x) = 0.
-2, -1
Let l(g) be the second derivative of 1/35*g**6 + 1/42*g**4 + 4*g + 0 + 1/147*g**7 + 0*g**2 + 0*g**3 + 3/70*g**5. Factor l(t).
2*t**2*(t + 1)**3/7
Let o be (1 + (-14)/12)/(3/(-6)). Let -d**5 + 2*d**2 + 1/3*d + 2/3*d**3 - 5/3*d**4 - o = 0. Calculate d.
-1, 1/3, 1
Let d(n) be the second derivative of 2*n**6/15 + n**5/5 - 5*n**4/3 + 2*n**3 + 20*n. Factor d(b).
4*b*(b - 1)**2*(b + 3)
Suppose -6 = -z - b - 1, 4*b + 4 = 4*z. Suppose z*f = 4*f - 1. Determine g so that 1 - f + g**2 = 0.
0
Let c be -6*-33*1/9. Factor -6*t - c*t**4 - 20*t**2 - 6*t**5 - 2/3 - 92/3*t**3.
-2*(t + 1)**3*(3*t + 1)**2/3
Let p be (-2)/3 + 3531/5337. Let h = 5909/4151 - p. Let 2*m - 2/7*m**4 - 18/7*m**2 + h*m**3 - 4/7 = 0. What is m?
1, 2
Solve 2*n + 2*n**5 - 2*n**2 - n + 3*n + 0*n - 6*n**3 + 2*n**4 = 0 for n.
-2, -1, 0, 1
Factor 9*g - 4*g**4 + 4*g**3 + 4*g**2 - 4*g**5 + 3*g - 12*g.
-4*g**2*(g - 1)*(g + 1)**2
Let a(m) be the third derivative of m**6/120 - m**5/12 + 7*m**4/24 - m**3/2 - 7*m**2. Factor a(q).
(q - 3)*(q - 1)**2
Let q(x) be the second derivative of 7*x**6/30 + 11*x**5/5 + 47*x**4/12 + 5*x**3/3 + 24*x. Find j such that q(j) = 0.
-5, -1, -2/7, 0
Let 0 - 2/7*r**2 - 4/7*r**3 + 2/7*r = 0. What is r?
-1, 0, 1/2
Let z = -19 - -11. Let k be 13/4 - (-2)/z. Factor 147*l**3 - 4*l**2 + k*l**2 + 15*l**2 + 8 - 44*l.
(3*l + 2)*(7*l - 2)**2
Let a = 23 + -14. Let b be (-21)/(-6) - a/6. Determine n so that 4 - 48*n**4 - 18*n**b - 4 - 48*n**3 + 16*n**4 - 2*n = 0.
-1, -1/4, 0
Let f(r) = r**3 - 8*r**2. Let k be f(8). Let u(p) be the first derivative of -1/24*p**6 + 0*p**3 + k*p**2 + 1 + 0*p - 1/20*p**5 + 0*p**4. Factor u(h).
-h**4*(h + 1)/4
Let j be ((-3)/(-5))/((-76)/10). Let s = j + 91/190. Factor 6/5*a**2 - 4/5 + s*a.
2*(a + 1)*(3*a - 2)/5
Let k(s) = s**3 - 2*s**2 - 2. Let h(n) = 2*n**3 - 3*n**2 - 3. Let a(x) = 2*h(x) - 3*k(x). Factor a(j).
j**3
Solve 8/9*k + 2/9*k**3 - 8/9*k**2 + 0 = 0 for k.
0, 2
Let l = -1474/5 + 1516/5. Let u(f) be the first derivative of 247/10*f**4 - 1 - 16/5*f + 68/5*f**2 - l*f**5 - 404/15*f**3. Determine q so that u(q) = 0.
2/7, 2/5, 2/3, 1
Let m(u) be the second derivative of -1/9*u**4 + 0*u**2 + 0*u**5 + 1/9*u**3 + 0 - 1/63*u**7 + 2/45*u**6 - u. Factor m(t).
-2*t*(t - 1)**3*(t + 1)/3
Let i(a) = -a**4 - 30*a**3 - 23*a**2 + 23*a. Let f(q) = 10*q**3 + 8*q**2 - 8*q. Let d(k) = 17*f(k) + 6*i(k). Factor d(u).
-2*u*(u + 1)**2*(3*u - 1)
Let d = 31/2 + -15. Suppose -3/4*r + d + 1/4*r**2 = 0. Calculate r.
1, 2
Suppose 5*u + 3*g = 6, 2*u - 2*g = 5*u - 3. Suppose -i - 1 = m + 2, -u*i = -5*m - 15. Factor 2*r**2 + i*r**2 - 4*r**2.
-2*r**2
Suppose 2*d = -l + 7, 0 = l - 2*l + 3. Let -5*a + a**3 - a**d + a + 4*a = 0. Calculate a.
0, 1
Let o(n) = -n**3 + 5*n**2 + 5*n + 8. Let d be o(6). Determine x, given that -2*x**3 - 11*x**2 - 3*x - 3*x - x**3 + d*x**2 = 0.
-2, -1, 0
Let c(r) be the third derivative of -1/120*r**6 - 1/12*r**4 + 2*r**2 + 0 - 1/20*r**5 + 0*r**3 + 0*r. Let c(p) = 0. Calculate p.
-2, -1, 0
Solve -2*f + 3*f - 50 + 2*f**3 + 5*f - 6*f**2 + 48 = 0.
1
Let r(t) = -8*t**4 - 3*t**3 + 3*t**2 + 8*t + 5. Let q(z) = 9*z**4 + 3*z**3 - 3*z**2 - 9*z - 6. Let h(i) = 5*q(i) + 6*r(i). Let h(m) = 0. Calculate m.
-1, 0, 1
Let o(h) be the second derivative of -3/20*h**5 - 1/8*h**4 + 1/20*h**6 + 3*h + 1/2*h**3 + 0 + 0*h**2. Let o(t) = 0. What is t?
-1, 0, 1, 2
Let f(i) be the third derivative of i**7/945 + 2*i**6/135 - i**5/9 + 8*i**4/27 - 11*i**3/27 - i**2 - 17. Factor f(t).
2*(t - 1)**3*(t + 11)/9
Let z be (26/156)/(1/(-3)*-1). Find s such that 1/4 + 1/4*s**2 - z*s = 0.
1
Suppose -3*d = -14 + 2. Let 