s**5 + 5*s**3 + 6*s**2 + 4*s**5 - 36*s**4 + 4*s**3.
3*s**2*(s - 1)**2*(7*s + 2)
Let 1/6*n + 0 + 1/6*n**2 = 0. What is n?
-1, 0
Let l(j) be the third derivative of 0*j + j**2 + 0 - 1/220*j**6 - 1/110*j**5 + 0*j**3 + 1/66*j**4 + 2/1155*j**7. Let l(o) = 0. What is o?
-1, 0, 1/2, 2
Let y(j) be the first derivative of 3*j**4/4 - 3*j**3 + 9*j**2/2 - 3*j + 2. Suppose y(h) = 0. What is h?
1
Let v be ((-2)/(-54))/(10/60). Let c(q) be the first derivative of -v*q**3 + 1/3*q**2 + 2/3*q - 1/6*q**4 + 2. Find m, given that c(m) = 0.
-1, 1
Let w(t) be the second derivative of -4*t**6/15 - t**5/20 + t**4/6 + 5*t**3/6 + 2*t. Let i(h) = h**4 - h. Let j(s) = -5*i(s) - w(s). What is r in j(r) = 0?
-1, 0, 2/3
Let z = 472/5 - -311/10. Let s = z + -112. Factor s + 27/2*b + 9/2*b**2 + 1/2*b**3.
(b + 3)**3/2
Factor 1/2*f**5 + 5/2*f**2 + 0 - 1/2*f**4 - f - 3/2*f**3.
f*(f - 1)**3*(f + 2)/2
Let 2/11*c**2 - 20/11*c + 18/11 = 0. Calculate c.
1, 9
Let a = 467059/54 + -8649. Let m = a - 1/54. Factor m*v**4 + 0*v**2 - 2/9 - 4/9*v + 4/9*v**3.
2*(v - 1)*(v + 1)**3/9
Let p(y) be the second derivative of 1/3*y**3 + 3/14*y**4 - y + 0 - 2/7*y**2. Find g such that p(g) = 0.
-1, 2/9
Let h(w) = w**2 + w + 2. Let z be h(0). Let u = -1/7 - -31/21. Factor 3*k**2 - u*k**3 + 1/3 - z*k.
-(k - 1)**2*(4*k - 1)/3
Let c be ((-4)/3)/(4/(-6)). Suppose 4*i - 45 = -5*v, c*v + i = 2*i + 5. Factor -2/5*x**4 - 2/5*x - 2/5 + 4/5*x**3 - 2/5*x**v + 4/5*x**2.
-2*(x - 1)**2*(x + 1)**3/5
Let i(m) = m**2 - 1. Let b(t) = 3*t**2 - 6*t - 1. Let h(n) = -b(n) + i(n). Factor h(w).
-2*w*(w - 3)
Let k = -2 - -5. Find a such that a**k + 13*a**4 + a**3 + a**2 - 12*a**4 = 0.
-1, 0
Let d(o) = -4*o**2 - 4*o. Let j(v) = -2*v**2 - 2*v + 3. Let i(f) = -5*f**2 - 5*f + 8. Let z(u) = 3*i(u) - 8*j(u). Let r(p) = 4*d(p) + 14*z(p). Factor r(h).
-2*h*(h + 1)
Let a be (-318)/15 - 2/(-10). Let n = 21 + a. Solve -1/2*f**2 + 0*f + n + 1/2*f**3 = 0.
0, 1
Let p = 237 + -7109/30. Let i(b) be the second derivative of -p*b**3 + 2/75*b**6 - 1/210*b**7 + 1/15*b**4 - 2*b - 3/50*b**5 + 0 + 0*b**2. Factor i(t).
-t*(t - 1)**4/5
Solve 0*j**2 + 0 + 3/7*j**5 - 12/7*j**4 + 12/7*j**3 + 0*j = 0 for j.
0, 2
Let u(h) be the third derivative of h**5/195 + h**4/156 - h**3/39 + 15*h**2. Factor u(w).
2*(w + 1)*(2*w - 1)/13
Let j(r) be the second derivative of -r**8/168 + 2*r**7/105 - r**6/60 - 3*r**2/2 + 5*r. Let a(l) be the first derivative of j(l). Determine o so that a(o) = 0.
0, 1
Let k(h) be the third derivative of -h**8/6720 + h**6/1440 - h**3/2 + h**2. Let y(v) be the first derivative of k(v). Solve y(n) = 0.
-1, 0, 1
Let g(d) = 2*d**2 - 69*d + 34. Let f be g(34). Factor 0 - 2/11*s**2 + f*s.
-2*s**2/11
Let d(x) = x + 2. Let p be d(1). Factor 2/15*h**2 - 2/15*h - 2/15 + 2/15*h**p.
2*(h - 1)*(h + 1)**2/15
Let d be 220/231 + (18/21)/(-3). Let -d*p + 1/3*p**2 + 0 = 0. What is p?
0, 2
Let m(d) be the second derivative of -2/5*d**6 - 4*d**3 + 3*d + 0 - 4*d**4 - 1/28*d**7 + 0*d**2 - 9/5*d**5. What is r in m(r) = 0?
-2, 0
Suppose 5*i + 5*y - 55 = 0, 2*i - 3*y - 17 = -6*y. Factor -78*h**2 + 246*h**2 + 582*h**4 - 588*h**3 - i*h - 4*h**4 + 108*h**4.
2*h*(7*h - 2)**3
Suppose 0*k + 2*k + 3*x - 16 = 0, 0 = 3*k + 3*x - 18. Let a(t) be the first derivative of 2/9*t**k + 1 + 0*t - 1/18*t**4 + 2/27*t**3. Factor a(y).
-2*y*(y - 2)*(y + 1)/9
Let o = 17 - 9. Let t = o + -5. Find i, given that -2*i - i - 1 + 0*i + t + i**2 = 0.
1, 2
Suppose -t + 2*v + 8 - 12 = 0, -2*t = -v - 1. Find n such that -t*n - 8/5*n**2 - 2/5 = 0.
-1, -1/4
Let p(n) be the third derivative of 0*n**3 + 0 - 3/224*n**8 - 1/16*n**4 + 0*n - 1/20*n**5 - 7*n**2 + 1/70*n**7 + 1/20*n**6. Let p(a) = 0. What is a?
-1, -1/3, 0, 1
Let o(j) be the second derivative of -j**5/40 + j**3/4 - j**2/2 - 2*j. Factor o(x).
-(x - 1)**2*(x + 2)/2
Let u be -2*2 + 42/10. Let o(j) be the second derivative of -u*j**2 + 1/100*j**5 - 5*j - 1/30*j**3 + 0 + 1/30*j**4. Factor o(s).
(s - 1)*(s + 1)*(s + 2)/5
Let g be (45/(-20))/((-9)/24). Suppose -22 = -4*k - 4*x - g, -x + 2 = 0. Factor 2/9*r**3 - 2/9*r**k + 2/9 - 2/9*r.
2*(r - 1)**2*(r + 1)/9
Let m(v) = v**3 - 9*v**3 - 6 + 353*v**2 - 351*v**2. Let u(d) = -d**3 + d**2 - 1. Let n(p) = m(p) - 6*u(p). Factor n(q).
-2*q**2*(q + 2)
Let f(k) = -2*k - 7. Let w be f(-5). Determine c so that -2*c - c**2 + w + 6*c - 2*c = 0.
-1, 3
Let x(t) be the second derivative of t**7/42 + t**6/12 - 5*t**4/12 - 5*t**3/6 - 3*t**2/4 + 6*t. Factor x(p).
(p + 1)**4*(2*p - 3)/2
Let o(p) = -3*p**2 - 3*p. Let u(s) = 5*s**2 + 5*s. Let h(a) = 8*o(a) + 5*u(a). Let f be h(2). Determine t so that 2*t**2 + 5 + f*t - 1 + 0*t = 0.
-2, -1
Factor 2 + z**2 + 0 - 2.
z**2
Let v(n) be the second derivative of n**6/300 + n**5/100 - n**3/30 - n**2/20 - 23*n. Factor v(z).
(z - 1)*(z + 1)**3/10
Let y(m) be the third derivative of 12*m**5/5 + 13*m**4/6 + 2*m**3/3 - 5*m**2. Factor y(k).
4*(4*k + 1)*(9*k + 1)
Let t = -18 - -20. Let j(a) be the first derivative of -1/3*a**3 + 1/2*a - 1/4*a**t - 2. Find b such that j(b) = 0.
-1, 1/2
Let x(t) be the second derivative of t**6/30 + 7*t**5/60 + 5*t**4/36 + t**3/18 + 3*t. Factor x(v).
v*(v + 1)**2*(3*v + 1)/3
Let q(z) = z**2 + 2*z + 2. Let t be q(0). Let o = 7 + -5. Find g, given that -2*g + g - 2*g + g**t + o = 0.
1, 2
Suppose 0 - 3/4*i - 1/4*i**3 - i**2 = 0. What is i?
-3, -1, 0
Let s(l) be the first derivative of l**6/12 - l**5/10 - l**4/8 + l**3/6 + 3. Let s(t) = 0. Calculate t.
-1, 0, 1
Let r(s) be the third derivative of -s**8/2520 + s**7/420 - s**6/180 + s**5/180 - s**3 + 5*s**2. Let p(b) be the first derivative of r(b). Factor p(j).
-2*j*(j - 1)**3/3
Let y be 1/34*(-4 + 2). Let d = y + 21/68. Factor -1/2*i**3 + d*i + 1/4*i**5 + 1/4*i**4 - 1/2*i**2 + 1/4.
(i - 1)**2*(i + 1)**3/4
Let p(u) be the second derivative of 0 + 4/15*u**3 + 4/5*u**2 + 1/30*u**4 + 3*u. Suppose p(o) = 0. Calculate o.
-2
Let g(r) = -6*r - 5. Let o be g(-6). Let i = o + -28. Factor -1/3*c**2 + 0*c - 1/3*c**4 - 2/3*c**i + 0.
-c**2*(c + 1)**2/3
Let t = 18 - 53/3. Suppose -1/3*l**3 + t*l**2 + 1/3*l + 0 - 1/3*l**4 = 0. Calculate l.
-1, 0, 1
Suppose 2*j - 48 = -j. Suppose 11*q = j*q. Find m, given that -2/5*m**3 - 8/5*m**5 + q*m + 0 + 0*m**2 + 2*m**4 = 0.
0, 1/4, 1
Let u(v) be the first derivative of v**6/4 + 3*v**5/10 - 9*v**4/8 - v**3/2 + 3*v**2/2 + 2. What is q in u(q) = 0?
-2, -1, 0, 1
Let g = 6 - 10. Let b be (g/(-10))/((-2)/(-20)). Factor -n**4 - 2*n**3 + n - 3 + n + b.
-(n - 1)*(n + 1)**3
Suppose -p - 67 = 3*r + 17, 4*r = -3*p - 112. Let y be (-2)/(-7) - (-8)/r. Suppose 2/7*u**5 + y + 0*u**3 - 4/7*u**2 - 2/7*u + 4/7*u**4 = 0. Calculate u.
-1, 0, 1
Let o be (-191024)/192 - 3/4. Let i = o + 1004. Find c, given that -4*c + 4/3 + 27*c**4 - i*c**2 + 37/3*c**3 + 35/3*c**5 = 0.
-1, 2/7, 2/5
Let l(j) be the first derivative of 3/2*j - 2 + 27/16*j**4 - 27/8*j**2 + 5/4*j**3 - 21/20*j**5. Solve l(y) = 0.
-1, 2/7, 1
Let r(c) be the first derivative of 0*c**2 - 1 - 1/3*c**3 - 1/3*c**4 - 3*c - 1/10*c**5. Let q(h) be the first derivative of r(h). Let q(m) = 0. What is m?
-1, 0
Suppose 6*m - m = 4*h - 28, 10 = h - 2*m. Suppose 5*y - 20 = 3*n + h*n, 2 = y - 3*n. Find c, given that 1/3*c**3 + 0 + 0*c + 1/3*c**4 - 1/3*c**2 - 1/3*c**y = 0.
-1, 0, 1
Let l(b) be the second derivative of -b**7/21 + 4*b**6/15 - 3*b**5/10 + 2*b - 34. Factor l(r).
-2*r**3*(r - 3)*(r - 1)
Let q(a) be the first derivative of -a**6/27 - 4*a**5/45 + 4*a**3/27 + a**2/9 - 2. Factor q(n).
-2*n*(n - 1)*(n + 1)**3/9
Let v(z) be the second derivative of z**6/30 - 4*z**5/15 + 2*z**4/3 + 5*z**2 - 6*z. Let x(p) be the first derivative of v(p). Suppose x(w) = 0. Calculate w.
0, 2
Suppose 4*w = 4*f - f - 10, 2 = -2*w. What is k in -6*k**2 + 2*k**2 - 6*k**4 - 8*k**3 + f*k**4 = 0?
-1, 0
Let s(h) be the first derivative of 5*h**6/6 + h**5 - 35*h**4/2 + 130*h**3/3 - 95*h**2/2 + 25*h - 6. Suppose s(a) = 0. What is a?
-5, 1
Let a(o) be the third derivative of -o**6/840 + o**5/140 - o**4/56 + o**3/42 + 7*o**2. Find x, given that a(x) = 0.
1
Let i be 38/21 + 18/(-27). Solve -2/7*u**2 - 8/7 + i*u = 0.
2
Suppose -u = -2*u + 2. Let h(i) be the third derivative of 0*i**5 - 1/36*i**4 - u*i**2 + 0*i**3 + 1/180*i**6 + 0*i + 0. Factor h(m).
2*m*(m - 1)*(m + 1)/3
Let o be 4/(-16) - (-2)/8. Factor o*f**2 + 0 + 1/3*f**3 - 1/3*f.
f*(f - 1)*(f + 1)/3
Let m = 59/4 + -29/2. Let m - 1/4*