+ 1/12*j**4. Let q(h) = 0. Calculate h.
-2
Let r(p) = p**3 - 19*p**2 + 15*p + 54. Let k be r(18). Factor k*v + 0 - 1/3*v**3 + 2/3*v**2.
-v**2*(v - 2)/3
Let z(r) be the second derivative of r**5/80 + r**4/48 - 14*r. Let z(q) = 0. Calculate q.
-1, 0
Suppose -q + 56 - 54 = 0. Factor -2/3*t**q - 5/3*t**3 + 5/3*t + 2/3.
-(t - 1)*(t + 1)*(5*t + 2)/3
Let s(g) = 7*g**2 + 23*g + 98. Let w(r) = 10*r**2 + 35*r + 147. Let q(u) = 7*s(u) - 5*w(u). Let q(v) = 0. What is v?
-7
Suppose 4*k - 5*c - 13 = 0, 0 = -k - k - 5*c - 1. Suppose -2/5*d**k + 0*d + 2/5*d**3 + 0 = 0. What is d?
0, 1
Let -3/2*w**3 + 3/4*w**4 + 1/4*w**5 + 21/4*w - 5/2*w**2 - 9/4 = 0. What is w?
-3, 1
Let m(s) = -s**3 - 9*s**2 - s - 9. Let j be m(-9). Solve 21*f**2 + 6*f - 17*f - 16*f + 6 + j*f = 0 for f.
2/7, 1
Let w be 14/21 - (-28)/3. Let m = w - 8. Suppose -d + 2*d**m - d - 2*d = 0. Calculate d.
0, 2
Factor -m**2 - 2*m**2 + 3*m**2 + 4*m**2 + 4*m**3.
4*m**2*(m + 1)
Let b be ((-1)/49)/(30/(-7)). Let s(d) be the third derivative of 0*d**3 + 1/420*d**6 + b*d**5 + 0*d + 0*d**4 - d**2 + 0. Factor s(l).
2*l**2*(l + 1)/7
Let w(l) be the first derivative of 2*l**5/65 - 3*l**4/26 + 2*l**3/13 - l**2/13 - 7. Factor w(j).
2*j*(j - 1)**3/13
Let d(n) be the second derivative of n**4/6 - 2*n**3/3 + n**2 + 25*n. Solve d(u) = 0 for u.
1
Suppose 3*s + 4*x + 6 = 0, -7 + 1 = 3*s - x. Let u = s - -6. Factor -4 + 6 + u*c**3 - 2*c**4 + 0 - 4*c.
-2*(c - 1)**3*(c + 1)
Suppose -s - b = -5, s - b + 7 = 6. Factor 2/3*q**5 + 0*q + 0 + s*q**4 + 2*q**3 + 2/3*q**2.
2*q**2*(q + 1)**3/3
Suppose 3*f = -x + 11, -3*f + x = -1 - 6. Let y be (-10)/(-2) - -1 - f. Suppose t**4 + t**3 + 3*t**2 + 5*t**3 - y*t**3 + t = 0. What is t?
-1, 0
Suppose 2*d - 83 = -2*d - 3*a, -2*d - 2*a + 42 = 0. Suppose -x + 0 - 2 = -2*v, -5*x - 5*v = -d. Factor 4*b**2 - 16*b**3 - 2*b - 9*b**5 + 21*b**4 + x*b.
-b**2*(b - 1)*(3*b - 2)**2
Let k(n) be the first derivative of -20*n**3/3 - 6*n**2 + 8*n - 11. Solve k(z) = 0 for z.
-1, 2/5
Let k(t) be the third derivative of -t**5/60 - t**4/12 - t**3/6 + 5*t**2. Solve k(l) = 0 for l.
-1
Let v = -2631132/451 + 5834. Let h = v - -4504/1353. Suppose -14/3*g**4 - 4/3*g**5 + 0 - 6*g**3 - h*g**2 - 2/3*g = 0. Calculate g.
-1, -1/2, 0
Let x(z) be the third derivative of z**6/1260 + z**5/420 - z**4/42 - z**3/2 - 4*z**2. Let b(p) be the first derivative of x(p). Factor b(v).
2*(v - 1)*(v + 2)/7
Suppose 6*t - 3*y - 4 = 4*t, -5*t = -5*y - 10. Determine g so that -1/2*g + 5/2*g**t + 0 = 0.
0, 1/5
Let z(u) be the first derivative of -2*u**3/15 + 2*u**2 - 10*u - 1. Factor z(a).
-2*(a - 5)**2/5
Let o(g) be the third derivative of -g**5/60 - g**4/12 + g**3/2 - 32*g**2. Factor o(j).
-(j - 1)*(j + 3)
Let k(s) be the first derivative of -s**7/2520 + s**5/120 + s**4/36 - 4*s**3/3 - 4. Let h(a) be the third derivative of k(a). Factor h(f).
-(f - 2)*(f + 1)**2/3
Suppose 2*m = -3*m + f - 177, m = -f - 39. Let g be (m/(-16) - 2)*0. Find k such that 1/4*k + 1/4*k**3 + g - 1/2*k**2 = 0.
0, 1
Let d(j) = -j**3 - 3*j**2 + 2. Let y be d(-3). Let x(u) be the third derivative of -1/180*u**5 - 1/18*u**3 - 1/36*u**4 + 0 + 0*u - 2*u**y. Factor x(n).
-(n + 1)**2/3
Factor -8/9 + 0*w + 2/9*w**2.
2*(w - 2)*(w + 2)/9
Let u(a) be the second derivative of -3/50*a**5 + 0*a**3 + 4/5*a**2 - 11/30*a**4 - 5*a + 7/75*a**6 + 1/35*a**7 + 0. Suppose u(j) = 0. What is j?
-2, -1, 2/3, 1
Let y = -4 + 6. What is h in -6*h**4 + 4*h**5 + 4*h**y - h**5 - 3*h + 2*h**2 = 0?
-1, 0, 1
Factor 2*x**2 + 2*x**3 - 9*x**2 + 5*x**2.
2*x**2*(x - 1)
Let z(b) be the third derivative of -b**8/1680 + b**7/1050 + b**6/600 - b**5/300 - 6*b**2. Suppose z(x) = 0. What is x?
-1, 0, 1
Let h(y) = y**3 + 26*y**2 - 20*y - 6. Let z(j) = j**3 + j**2 - 1. Let b(p) = h(p) - 6*z(p). Let b(l) = 0. Calculate l.
0, 2
Let u = -6 + 9. Suppose 4*d + 7 = 3*n, 27 = u*n + d + 10. Factor 2*z**n + 3*z**3 - 2*z**4 - 3*z**3.
2*z**4*(z - 1)
Let y(j) = 4*j**2 - 3*j + 2. Let n(o) = -3*o**2 + 2*o - 1. Suppose 29 = -7*t + 8. Let u(m) = t*n(m) - 2*y(m). Factor u(x).
(x - 1)*(x + 1)
Let v = -19 + 27. Suppose -3*a = -v*a. Factor 2*z**2 + a - 2/3*z.
2*z*(3*z - 1)/3
Let x be (3/(-4))/((-15)/40). Suppose 3 = x*q - q. Determine c, given that -4/5*c - 6/5*c**2 + 0 - 2/5*c**q = 0.
-2, -1, 0
Let x(q) be the first derivative of 0*q**4 + 4 + 1/6*q**3 - 1/10*q**5 + 1/8*q**2 - 1/24*q**6 + 0*q. Factor x(m).
-m*(m - 1)*(m + 1)**3/4
Let j(b) be the third derivative of -b**6/240 + b**4/48 + 11*b**2. What is z in j(z) = 0?
-1, 0, 1
Let g(v) be the first derivative of -v**4/14 - 2*v**3/21 + v**2/7 + 2*v/7 - 1. Factor g(a).
-2*(a - 1)*(a + 1)**2/7
Let s(o) be the third derivative of o**6/1380 + o**5/115 + 11*o**4/276 + 2*o**3/23 - 7*o**2 + 2. Suppose s(t) = 0. What is t?
-3, -2, -1
Let v be (1 - 2/4)*90/135. Factor 1/3*c**2 - v*c**4 + 0 + 1/3*c - 1/3*c**3.
-c*(c - 1)*(c + 1)**2/3
Let g(j) = j**3 - j**2 - 1. Let q(c) = -7*c**2 + 17*c**2 - 3*c**3 - 8*c**2 - c + 4*c. Let u(t) = 6*g(t) + 3*q(t). Factor u(v).
-3*(v - 1)**2*(v + 2)
Factor 0*v**2 + 2*v**2 - v**2 + 3*v + v.
v*(v + 4)
Let p(c) = -c**4 + c**3 - c**2 - c - 1. Let z(j) = 4*j**5 - 12*j**4 - 8*j**3 - 4*j**2 - 4*j - 4. Let b(d) = -4*p(d) + z(d). Solve b(y) = 0 for y.
-1, 0, 3
Let 1/3*j**2 - j + 0 = 0. Calculate j.
0, 3
Let w(m) be the first derivative of m**4/26 + 2*m**3/13 + 2*m**2/13 - 31. Find q such that w(q) = 0.
-2, -1, 0
Let h(l) = -l**2 - 10*l + 14. Let t be h(-11). Let o be (t - (1 + 1))*2. Solve 9*y + 3/2*y**o + 27/2 = 0.
-3
Suppose -27*o - 24 + 6*o**2 + 37*o + 2*o**3 - 18*o = 0. What is o?
-3, -2, 2
Let x(y) = -y**4 - y**3 + y**2 - y + 1. Let g(j) = 4*j**4 - 8*j**3 - j**2 + 13*j - 1. Let h(o) = -g(o) - x(o). Factor h(d).
-3*d*(d - 2)**2*(d + 1)
Let r be (-608)/(-18) - 4/(-18). Factor -5*t**2 + 2*t**2 - 40 + r - 9*t.
-3*(t + 1)*(t + 2)
Let a(x) be the first derivative of x**4/8 - x**3/3 - 7*x**2/4 - 2*x + 33. Factor a(q).
(q - 4)*(q + 1)**2/2
Let p(u) be the third derivative of u**6/48 + u**5/8 - 5*u**4/12 + 25*u**2. Factor p(j).
5*j*(j - 1)*(j + 4)/2
Let j = 10 - 9. Let c be j/(-2)*(4 + -4). Factor -2/9*p**2 + 2/9*p**4 - 2/9*p + 2/9*p**3 + c.
2*p*(p - 1)*(p + 1)**2/9
Let g(f) be the second derivative of 0*f**2 + 1/6*f**4 + 0 + 3*f + 1/3*f**3. Factor g(j).
2*j*(j + 1)
Factor 8*o**4 + o**3 - 62*o**3 - 64*o + 160*o**2 - 7*o**3.
4*o*(o - 4)**2*(2*o - 1)
Factor -20/3*t**3 + 40/9*t + 26/9*t**2 + 8/9 + 2*t**4.
2*(t - 2)**2*(3*t + 1)**2/9
Let k(g) = 4*g**4 - 6*g**2 - 2*g. Let d(n) = -n**2 + 10*n + 13. Let i be d(11). Let h(t) = -9*t**4 + 13*t**2 + 5*t + 1. Let r(w) = i*h(w) + 5*k(w). Factor r(z).
2*(z - 1)**2*(z + 1)**2
Let w(u) be the third derivative of 0*u**3 + u**2 - 1/350*u**7 + 1/300*u**5 + 1/60*u**4 - 1/150*u**6 + 0 + 0*u. Factor w(s).
-s*(s + 1)**2*(3*s - 2)/5
Let m(l) be the second derivative of 3*l**5/5 - 13*l**4/12 - 10*l**3/3 - 2*l**2 + 10*l. Suppose m(d) = 0. What is d?
-2/3, -1/4, 2
Let d = 6 - 6. Let p = d + 2. Determine b so that -3*b + 0 + b + 0 + 2*b**p = 0.
0, 1
Factor -5 + 1 + 9*t**2 - 9*t + 7 - 3*t**3.
-3*(t - 1)**3
Let n(u) be the second derivative of u**5/20 - u**4/6 + u**3/6 + u**2/2 + u. Let s be n(2). Factor -2/7*g**5 + 4/7*g**4 + 0*g**2 + 0*g + 0 - 2/7*g**s.
-2*g**3*(g - 1)**2/7
Let y = 19 - 14. Determine i, given that -4*i**y - 11*i**3 + 6*i**5 + 9*i**3 - 2*i**4 + 2*i**2 = 0.
-1, 0, 1
Suppose o - 15 = 3*d, 5 = 3*o - 0*d + d. Suppose x + 10*x**4 - 3*x**4 - 1 + 15*x**2 + 19*x**o + 3 - 4 = 0. What is x?
-1, 2/7
Let i be (3/378)/(10/6). Let c(a) be the third derivative of -i*a**5 - 2*a**2 + 0*a - 2/21*a**3 + 0 - 1/28*a**4. Factor c(k).
-2*(k + 1)*(k + 2)/7
Let k be (-3*(-3)/(-54))/(5/(-15)). Let k*c**3 + 5/2*c**4 + 0*c**2 + 0 + 0*c = 0. What is c?
-1/5, 0
Find a such that -4 + 1/4*a**3 + 7/4*a**2 + 2*a = 0.
-4, 1
Let w**4 + 0 - 8/3*w - 4*w**2 - 2/3*w**3 + 1/3*w**5 = 0. What is w?
-2, -1, 0, 2
Let j(t) be the first derivative of t**6/18 - 2*t**5/15 + 2*t**3/9 - t**2/6 - 10. Factor j(i).
i*(i - 1)**3*(i + 1)/3
Let s = 211 + -843/4. Determine a, given that 1 + 0*a - 3/4*a**2 - s*a**3 = 0.
-2, 1
Suppose 0 = k - 28 + 83. Let s be (-1)/(-2) + k/(-30). Factor 2/3*f - s*f**2 + 0 + 5/3*f**3.
f*(f - 1)*(5*f - 2)/3
Let a = -27 + 27. Factor a - 1/5*w**2 + 1/5*w.
-w*(w - 1)/5
Let z(d) be the third derivative of d**7/525 + d**6/100 + d**5/50 + d**4/60 - 10*d**2. Suppos