5/180 + w**4/108 - 32*w. Find k such that h(k) = 0.
-1, 0, 1
Let i(t) be the first derivative of -t**3/3 + t**2 + 3*t + 5. Let i(w) = 0. What is w?
-1, 3
Suppose -30 = -4*v + 30. Let x be ((-18)/v)/3*-5. Factor -1 - z**x + 0 + z**3 + 1.
z**2*(z - 1)
Let b = -439/10 - -44. Let z(i) be the second derivative of -i - i**2 + 1/6*i**4 - 1/3*i**3 + 0 + b*i**5. Solve z(w) = 0 for w.
-1, 1
Solve -n**2 - 3*n + 7*n + 0 - 25 + 6*n = 0 for n.
5
Let r(n) = n + 1. Let u be r(-1). Factor -77*y**5 + 78*y**5 - y**4 + u*y**4.
y**4*(y - 1)
Let o(q) be the second derivative of -q**7/63 - q**6/9 - q**5/10 + 13*q**4/18 + 8*q**3/9 - 4*q**2 - 10*q. Solve o(i) = 0.
-3, -2, 1
Let v = 5 - 0. Factor -32*y**3 + 28*y**2 + 2 + 2*y**5 - 6*y**v + 0*y**5 - 12*y + 18*y**4.
-2*(y - 1)**4*(2*y - 1)
Let i(k) = -4*k - 7. Let d be i(-2). Let l(p) = p**3. Let n(s) = 3*s**3 + 2*s**2. Let g(h) = d*l(h) - n(h). Solve g(y) = 0.
-1, 0
Let w = 12/5 - 31/15. Let m(l) be the second derivative of -1/45*l**6 - 2*l + 0*l**5 + 0 + 0*l**3 - w*l**2 + 1/9*l**4. Factor m(b).
-2*(b - 1)**2*(b + 1)**2/3
Let k(i) be the first derivative of -2 + 1/10*i**4 + 0*i**2 + 2/25*i**5 + 0*i**3 + 0*i. Solve k(b) = 0 for b.
-1, 0
Let 10*d - d**4 + 29*d**2 + 10*d**4 - 74*d**2 + 15*d**3 + 11*d**4 = 0. What is d?
-2, 0, 1/4, 1
Let v(h) be the third derivative of -h**8/168 + h**7/21 - 29*h**6/240 + 2*h**5/15 - h**4/16 + 9*h**2. Determine w, given that v(w) = 0.
0, 1/2, 1, 3
Let j be 23/(966/180) + -4. Factor 4/7*t**3 + 0 - 2/7*t**5 + 0*t**4 - j*t + 0*t**2.
-2*t*(t - 1)**2*(t + 1)**2/7
Solve 0*q**2 + 12/5*q**4 + 3/5*q**3 + 0 + 0*q + 9/5*q**5 = 0.
-1, -1/3, 0
Suppose 8*w = 3*w + 40. Let g be 12/w*(-2)/(-6). Let -1/2*m**4 - g*m + 0 - 3/2*m**3 - 3/2*m**2 = 0. Calculate m.
-1, 0
Let k be 5/(-30)*(-2)/1. Factor -k*q**2 + 0 - 2/3*q.
-q*(q + 2)/3
Suppose 0 = -3*s + 4*h + 41, -3*h = -2*s - h + 24. Let c(a) = -5*a**2 - 4*a + 6. Let w(b) = 5*b**2 + 5*b - 7. Let g(u) = s*c(u) + 6*w(u). Solve g(j) = 0.
0, 2/5
Let q(s) be the second derivative of -s**6/40 - 3*s**5/40 - s**4/16 + 6*s. Factor q(m).
-3*m**2*(m + 1)**2/4
Determine m so that m + m + m**2 - m - 2*m - 2 = 0.
-1, 2
Let l(n) be the first derivative of 12/5*n**5 + 4/3*n**3 - 2/3*n**6 + 0*n - 3*n**4 - 7 + 0*n**2. Factor l(d).
-4*d**2*(d - 1)**3
Let b be (21/14)/((-6)/(-20)). Suppose -6*t + t = 0. Suppose -f + 11/2*f**4 - 15/2*f**3 + t + 9/2*f**2 - 3/2*f**b = 0. Calculate f.
0, 2/3, 1
What is t in 0*t**3 - 12 - 5*t**3 + 3*t**3 + 0*t**3 + 14*t = 0?
-3, 1, 2
Let s = -3 + 1. Let b be (s*(-1)/(-4))/(-1). Let 0 - b*q**2 + 0*q = 0. What is q?
0
Let -1/3*v**2 - v**3 + 1/3*v**4 + 0 + v = 0. Calculate v.
-1, 0, 1, 3
Suppose 0 + 10 = 5*z. Factor 2*q**z - 3*q**2 + 4*q**3 - 3*q + 3*q**2 + q.
2*q*(q + 1)*(2*q - 1)
Let q be 2 + (1605/414)/(-5). Let i = q - -5/46. Factor -i - 2/3*f + 2/3*f**2.
2*(f - 2)*(f + 1)/3
Let s(d) be the first derivative of 2*d**5/15 - 5*d**4/6 + 16*d**3/9 - 4*d**2/3 + 7. Find l such that s(l) = 0.
0, 1, 2
Let h(s) be the third derivative of -s**8/1344 + s**7/420 - s**5/120 + s**4/96 + 2*s**2. Factor h(y).
-y*(y - 1)**3*(y + 1)/4
Determine c so that -12 - 3*c**5 - 17*c**4 - 55/3*c**3 + 16*c + 71/3*c**2 = 0.
-3, -1, 2/3
Let p(q) be the first derivative of -q**6/9 - 2*q**5/3 - q**4 + 8*q**3/9 + 8*q**2/3 + 9. Factor p(g).
-2*g*(g - 1)*(g + 2)**3/3
Let b(g) be the third derivative of 3*g**6/160 + g**5/120 - 5*g**2. Find u, given that b(u) = 0.
-2/9, 0
Let g be 1/(-3) + (-14)/(-21). Factor 1/3 - g*x + 1/3*x**3 - 1/3*x**2.
(x - 1)**2*(x + 1)/3
Let v(u) be the second derivative of u**6/135 - 2*u**5/45 + u**4/18 - 31*u. Factor v(l).
2*l**2*(l - 3)*(l - 1)/9
What is c in 4/3*c**3 + 13/3*c + 16/3*c**2 + 1 = 0?
-3, -1/2
Let f be (1 + (-26)/30)*(60 - 40). Determine r so that 2/3*r**3 - f*r**2 + 0 + 8/3*r = 0.
0, 2
Let m(j) be the third derivative of -j**6/1620 - j**5/540 + j**4/54 - 2*j**3/3 - j**2. Let v(l) be the first derivative of m(l). Factor v(b).
-2*(b - 1)*(b + 2)/9
Solve -1/4*v - v**2 - 1/4*v**5 + 1/2*v**4 + 1/2 + 1/2*v**3 = 0.
-1, 1, 2
Suppose 2*k = -2*a + 2, -5 = 5*k - 5*a - 50. Factor -1/2*t + 0 - 1/2*t**k + t**3 + 0*t**4 + 0*t**2.
-t*(t - 1)**2*(t + 1)**2/2
Let j = 26 - 13. Let z = j - 5. Suppose -7 + 4*a**2 + 4*a**2 + 7 + z*a + 2*a**3 = 0. Calculate a.
-2, 0
Let o(w) = -7*w + 17*w**2 - 8*w - 14 + 2*w**3 - 5*w**3 + 2*w**3. Let x be o(16). What is b in 0*b**x + 0 + 0*b + 4/3*b**4 + 2/3*b**5 + 2/3*b**3 = 0?
-1, 0
Let o(i) be the first derivative of -i**4/48 + i**3/24 - i + 1. Let a(d) be the first derivative of o(d). Factor a(y).
-y*(y - 1)/4
Let b(t) be the first derivative of -t**8/7560 - t**7/315 - t**6/30 - t**5/5 - 3*t**4/4 - t**3 - 4. Let s(r) be the third derivative of b(r). Factor s(o).
-2*(o + 3)**4/9
Let u(z) be the second derivative of 2/5*z**3 + 4/5*z**2 + 0 - 7/15*z**4 - 3/25*z**5 + 2/15*z**6 + 2*z. Suppose u(p) = 0. Calculate p.
-1, -2/5, 1
Let u(l) be the third derivative of l**8/84 + 4*l**7/105 - 2*l**6/15 - 2*l**5/15 + l**4/2 + 28*l**2. Factor u(s).
4*s*(s - 1)**2*(s + 1)*(s + 3)
Solve 8*c + 7*c**2 - 5*c**2 - 4*c**4 - 6*c**2 + 16*c**2 = 0 for c.
-1, 0, 2
Let i(m) = 15*m**5 - 36*m**4 + 6*m**3 + 12*m**2 - 33*m - 12. Let p(g) = g**5 - g**4 - g**3 - g**2 - g - 1. Let j(b) = i(b) - 12*p(b). Factor j(h).
3*h*(h - 7)*(h - 1)**2*(h + 1)
Factor -2/17*v**4 + 2/17*v**3 + 6/17*v + 0 + 10/17*v**2.
-2*v*(v - 3)*(v + 1)**2/17
Suppose 2*j + 0*j = 4. Suppose -f**2 + 4*f**j + 4*f - 5*f**2 = 0. What is f?
0, 2
Let q(j) be the third derivative of 5*j**8/336 - j**7/42 - j**6/12 - 33*j**2. Factor q(r).
5*r**3*(r - 2)*(r + 1)
Let n(d) be the first derivative of 0*d**3 + 0*d + 1/7*d**2 - 3 - 1/14*d**4. Factor n(x).
-2*x*(x - 1)*(x + 1)/7
Suppose 0 + 1/4*b**2 - 1/2*b**3 + 1/2*b - 1/4*b**4 = 0. What is b?
-2, -1, 0, 1
Suppose 13*u - 8*u + 40 = 0. Let x be u/(-6) - 16/(-24). Factor 3/4*j + 0 + 3/4*j**x.
3*j*(j + 1)/4
Let c(s) = s**2 + 4*s - 5. Let d be c(-5). Let r be 0/((-1 - d) + 0). Factor -2/5*u**2 + r*u + 0.
-2*u**2/5
Let t = -115/198 + 7/11. Let i(x) be the first derivative of 2 + 1/9*x**2 + 2/27*x**3 - t*x**4 - 2/9*x. Suppose i(n) = 0. Calculate n.
-1, 1
Suppose -2*o + 2 = -4*o - 2*x, 0 = -o - 2*x. Let b be (-12)/8*o/1. Suppose -2*i + 2*i + i**5 - i**b = 0. Calculate i.
-1, 0, 1
Let p(x) = -2*x**3 - 3*x**2 - x + 2. Let z be p(-2). Factor -2*f**3 + 8/3 - z*f + 22/3*f**2.
-2*(f - 2)*(f - 1)*(3*f - 2)/3
Let g(u) be the third derivative of -u**8/140 - u**7/56 - u**6/120 - u**3/3 + u**2. Let x(w) be the first derivative of g(w). Suppose x(s) = 0. What is s?
-1, -1/4, 0
Let b = 4 + -2. Factor 4*c**4 + 8 + 4*c**3 - 4*c - 4*c**2 - 7*c**2 + 0*c - c**b.
4*(c - 1)**2*(c + 1)*(c + 2)
Determine j, given that 15*j - 64 + 8*j + 9*j + 4*j**3 + 28*j**2 = 0.
-4, 1
Suppose 0 = 2*n - 5*f + 4 + 8, 0 = -2*n - 3*f + 4. Let s be 0 - 9/(3*n). Factor -s*h**2 - 3*h**3 + 2*h - 2*h**2 + 6*h**2.
-h*(h - 1)*(3*h + 2)
Let m be 9*-1*12/(-18). Let l = m + -4. Let 5*z**4 - z**l - 3*z**2 + 2*z**5 - 2*z - z**4 = 0. What is z?
-1, 0, 1
Let p(y) = -3*y**5 - 5*y**4 + 3*y**3 - 5*y**2. Let c(g) = -16*g**5 - 28*g**4 + 16*g**3 - 28*g**2. Let o(r) = 5*c(r) - 28*p(r). Factor o(q).
4*q**3*(q - 1)*(q + 1)
Factor 2*z**2 - 4*z - 6*z + 2*z**2 + z**2 + 5*z**3.
5*z*(z - 1)*(z + 2)
Suppose -4*u + 8 = 4*s, 6 = 5*u - 2*s + 31. Let l be (-2)/(-1) - (-4)/u. Find i, given that 0*i - 2/3*i**2 + l = 0.
-1, 1
Factor 6/13 + 2/13*z**2 - 8/13*z.
2*(z - 3)*(z - 1)/13
Let r(l) = -l**3 + 6*l**2 + 7*l - 7. Let h be r(7). Let q be (-30)/h + (-6)/21. Find i, given that -4*i**3 - 2*i**3 + i**2 + i**2 + q*i**4 = 0.
0, 1/2, 1
Let q(d) be the second derivative of -d**6/60 + 3*d**5/40 - d**4/8 + d**3/12 + 6*d. Find h, given that q(h) = 0.
0, 1
Let h(o) be the third derivative of 18*o**7/35 + 27*o**6/5 + 84*o**5/5 + 76*o**4/3 + 64*o**3/3 + 44*o**2. Suppose h(m) = 0. What is m?
-4, -2/3
Let u(y) be the second derivative of -y**7/210 + y**5/50 - y**3/30 - 16*y. Solve u(k) = 0.
-1, 0, 1
Let l(d) be the third derivative of d**8/1848 + d**7/231 + d**6/66 + d**5/33 + 5*d**4/132 + d**3/33 - 3*d**2. What is v in l(v) = 0?
-1
Solve -2/5*b**4 + 0*b + 2/5*b**2 + 0 + 0*b**3 = 0.
-1, 0, 1
Let b(y) be the third derivative of -y**6/200 + y**4/10 - 32*y**2. Find j, given that b(j) = 0.
-2, 0, 2
Let f = -4 - -5. Let b(o) be the first derivative of -2/3*o - f 