 2/7*b**4 - 2/7*b + 0 - 6/7*b**3 = 0.
0, 1
Let b = 185/6 - 61/2. Factor 1/3*d**3 + 1/3*d**4 + 0*d + 0 - b*d**2 - 1/3*d**5.
-d**2*(d - 1)**2*(d + 1)/3
Let m(w) be the second derivative of -1/108*w**4 - 1/180*w**6 + 2/135*w**5 - w**2 - 4*w + 0*w**3 + 0. Let y(i) be the first derivative of m(i). Factor y(n).
-2*n*(n - 1)*(3*n - 1)/9
Let i = 16 - 13. Suppose 1/5*m**i + 0 + 1/5*m**2 + 0*m = 0. Calculate m.
-1, 0
Let i(a) = -a**2 + 7*a - 4. Let z be i(6). Factor -2 + 2*l**z + 10*l - 16*l + 2.
2*l*(l - 3)
Let f be ((-8)/(-10))/((-4)/(-10)). Let -4/3*i + 0 + 2/3*i**f = 0. What is i?
0, 2
Let -8/9*i - 8/9 - 2/9*i**2 = 0. Calculate i.
-2
Suppose -3 = -u - 1. Let -t**3 - 6 - 3*t + 5 + 3*t**u + 2 = 0. What is t?
1
Let r(h) be the first derivative of h**5/120 + h**4/24 - h**2/2 - 1. Let d(n) be the second derivative of r(n). Let d(g) = 0. Calculate g.
-2, 0
Let u(m) be the second derivative of -1/10*m**5 + 0 + 2*m - 1/2*m**3 + 1/4*m**2 + 3/8*m**4. Factor u(s).
-(s - 1)**2*(4*s - 1)/2
Suppose 0 = -4*t - 18 - 2. Let s be 8/t*10/(-4). Determine c, given that 4/9*c - 10/9*c**3 - 2/9*c**2 + 2/9*c**s + 2/3*c**5 + 0 = 0.
-1, 0, 2/3, 1
Let m(v) be the third derivative of -v**8/30240 - v**5/20 - 2*v**2. Let k(o) be the third derivative of m(o). Suppose k(l) = 0. Calculate l.
0
Let x = 4 - 2. Let m(p) be the second derivative of 1/15*p**6 + 2*p - 1/3*p**x + 1/63*p**7 + 1/15*p**5 + 0 - 1/3*p**3 - 1/9*p**4. Find s such that m(s) = 0.
-1, 1
Let s(x) = -x**2 + 8*x + 5. Let r be s(8). Let t(g) be the third derivative of 0*g**3 + 0*g - g**2 - 1/30*g**r + 0 - 1/12*g**4. Suppose t(n) = 0. What is n?
-1, 0
Let n(c) be the third derivative of c**7/420 - c**6/48 + 3*c**5/40 - 7*c**4/48 + c**3/6 - 6*c**2. Factor n(p).
(p - 2)*(p - 1)**3/2
Let j be 1/(-3) + (-8)/3. Let h be (1 + -1)/j + 2. Factor i**h - 2 + 11 - 6*i + i - i.
(i - 3)**2
Factor -9/8*f**2 + 3/4*f - 1/8.
-(3*f - 1)**2/8
Let w(f) be the second derivative of f**9/15120 + f**8/6720 - f**7/2520 - f**6/720 + f**4/6 + 2*f. Let j(q) be the third derivative of w(q). Factor j(l).
l*(l - 1)*(l + 1)**2
Let a(c) = 4*c**4 - 6*c**3 - 4*c**2 + 3. Let j(l) = -l**4 + l**3 + l**2 + l - 1. Let f(i) = -a(i) - 3*j(i). What is g in f(g) = 0?
-1, 0, 1, 3
Let h be (-4)/(-6)*(-90)/(-20). Let r(w) be the first derivative of -1/2*w**4 - 2*w - 2*w**3 - h*w**2 - 1. Factor r(s).
-2*(s + 1)**3
Factor 4/3*b + 1/6*b**2 + 8/3.
(b + 4)**2/6
Let z be 5587/3108 - 1/12. Factor z*s**2 + s**3 - 2/7 + 3/7*s.
(s + 1)**2*(7*s - 2)/7
Let j = 76 - 76. Factor j*s + 2/3*s**2 + 0 + 2/3*s**3.
2*s**2*(s + 1)/3
Suppose 5*x - 3*x - 4*x + 6*x**2 - 4*x**2 - 4 = 0. What is x?
-1, 2
Suppose 0 = 5*x - 5*j - 40, -2*x + 3*j + 0*j = -21. Factor 22*y**4 - 4*y**x + 0*y**2 + 4*y - 8*y**4 - 14*y**2.
2*y*(y - 1)*(y + 1)*(7*y - 2)
Let k(b) be the second derivative of b**7/42 - b**6/10 + 3*b**5/20 - b**4/12 + 16*b. Suppose k(q) = 0. Calculate q.
0, 1
Let s(y) be the first derivative of 4/5*y - 8 + 2/25*y**5 + 1/5*y**2 - 1/10*y**4 - 2/5*y**3. Factor s(b).
2*(b - 2)*(b - 1)*(b + 1)**2/5
Let n be ((-1)/((-1)/14))/2. Let i be (-1 + 0 - n)/(-14). Factor -i*p - 2/7*p**2 - 2/7.
-2*(p + 1)**2/7
Let s be (-4 - -3)*0*(0 + 1). Let m(n) be the second derivative of 4*n**3 + s - n - 8/3*n**2 - 3*n**4 + 9/10*n**5. Factor m(i).
2*(3*i - 2)**3/3
Let x(q) = q**4 + 5*q**3 - 4*q**2 + 4*q - 4. Let b(i) = 0 - 2*i**4 - 4*i**3 - 7*i**3 + 2 + 9*i**2 - 9*i + 7. Let r(z) = 4*b(z) + 9*x(z). Factor r(o).
o**3*(o + 1)
Let k be (-1040)/(-336) - 2/21. Find t, given that 0 + 2/11*t**k + 2/11*t**2 + 0*t = 0.
-1, 0
Let m = 456/77 + -62/11. Determine x so that -2/7 - 4/7*x - m*x**2 = 0.
-1
Suppose 2*x + b - 2 = 2*b, -3*b = x - 15. Factor 10*n + 8*n**2 + n**3 + n**x + 0*n**3 + 4.
2*(n + 1)**2*(n + 2)
Let n(t) be the third derivative of t**5/360 - t**4/24 + t**3/4 - 8*t**2. Determine c so that n(c) = 0.
3
Let c = -26 - -29. Let q(v) be the second derivative of -1/147*v**7 - 1/42*v**4 + 0*v**c - 1/35*v**6 + 0*v**2 + 2*v + 0 - 3/70*v**5. Factor q(h).
-2*h**2*(h + 1)**3/7
Let k be ((-740)/(-225))/4 - (-6)/(-27). Factor -3/5 - 3/5*u**3 + k*u**2 + 3/5*u.
-3*(u - 1)**2*(u + 1)/5
Let o(t) = -2*t**2 - 39*t - 17. Let k be o(-19). Solve -2/3*c**3 + 1/3*c**5 - 2/3*c**k + 1/3*c + 1/3 + 1/3*c**4 = 0 for c.
-1, 1
Let c(f) = -f**2 - 6*f - 6. Let o be c(-4). Let h be o/3*(0 + 3). Factor -p**3 + 0*p**2 - 3*p**h + p**2 + 3*p**3.
2*p**2*(p - 1)
Let s(n) be the third derivative of 0*n**3 + 0*n + 0 + 1/30*n**5 - 4*n**2 + 0*n**4. Suppose s(t) = 0. What is t?
0
Find v such that 3*v**2 - v**3 - 1 + 12*v + 4 - 2*v**2 - 7*v = 0.
-1, 3
Let v be ((2 - 70/(-25)) + -5)/(-1). Factor q + 1/5*q**4 - 2/5 - v*q**3 - 3/5*q**2.
(q - 1)**3*(q + 2)/5
Factor 87*j**2 - 117*j**3 + 7 - 49*j**4 - 9*j**3 + 8 + 76*j - 3.
-(j - 1)*(j + 3)*(7*j + 2)**2
Suppose -63/4*t**2 + 81/2*t**3 - 1/8 + 19/8*t - 27*t**4 = 0. Calculate t.
1/6, 1
Suppose -3*o - 15 = -3*h - 0*o, h - 5*o - 17 = 0. Factor 0 + 5/2*t**h + 3/2*t**3 + t.
t*(t + 1)*(3*t + 2)/2
Find z, given that 6/5*z**2 + 0 + 2/5*z**3 + 0*z = 0.
-3, 0
Let q(x) = 10*x**2 - 35*x + 33. Let k(v) = 10*v**2 - 35*v + 32. Let h(n) = -3*k(n) + 2*q(n). Factor h(c).
-5*(c - 2)*(2*c - 3)
Let c(r) = r. Let i(n) = 9*n**3 - 6*n**2 - 27*n - 6. Let x(f) = -6*c(f) - i(f). What is u in x(u) = 0?
-1, -1/3, 2
Let 4*w**2 - 20*w - 2*w**4 - 13*w**4 + 21*w**2 - 5*w**2 + 25*w**3 = 0. What is w?
-1, 0, 2/3, 2
Let m be ((-3)/21)/1 - 36/(-84). Factor -8/7*y - 6/7 - m*y**2.
-2*(y + 1)*(y + 3)/7
Let n(z) be the second derivative of -z**7/21 - z**6/3 - 3*z**5/5 + 2*z**4/3 + 8*z**3/3 + 44*z - 2. Factor n(u).
-2*u*(u - 1)*(u + 2)**3
What is q in -5051*q**4 + 56*q + 2943*q**3 - 588*q**2 + 1014*q**3 - 2 + 249*q**4 - 1213*q**3 = 0?
1/7
Let -16*z**2 + 18*z**2 - 10 + 10 - 2*z = 0. What is z?
0, 1
Let p(o) = o**2 - 5*o - 35. Let j be p(9). Let s(m) be the first derivative of -j + 1/4*m**4 - 3/2*m**2 - 2*m + 0*m**3. Determine t, given that s(t) = 0.
-1, 2
Let v be 6/27 - (-356)/18. Suppose 5*s = v, s + 17 = -i + 6*s. Suppose i*o + 10*o**3 - 11*o - 2*o**3 - 2 + 2*o**2 = 0. Calculate o.
-1, -1/4, 1
Let a(l) = -l**2 + 7*l + 2. Let c be a(7). Factor -v**2 + c*v**3 - v**2 + 0*v**2.
2*v**2*(v - 1)
Let v(y) be the third derivative of -y**8/112 + 11*y**7/420 - y**6/120 - y**5/24 + y**4/24 - y**2. Suppose v(o) = 0. What is o?
-2/3, 0, 1/2, 1
Let u(q) be the second derivative of q**10/15120 + q**9/7560 - q**8/3360 - q**7/1260 + q**4/6 + 3*q. Let h(p) be the third derivative of u(p). Factor h(s).
2*s**2*(s - 1)*(s + 1)**2
Let w be -1*(-6 - 96/(-18)). Factor -w*n**3 - 1/3*n**4 + 1/3*n**5 + 2/3*n**2 - 1/3 + 1/3*n.
(n - 1)**3*(n + 1)**2/3
Suppose 8*t - 20 = 3*t. Factor 2*k**2 - k**t - 2*k**2 + k**2.
-k**2*(k - 1)*(k + 1)
Let z be ((1 - -4) + -2)*(-18)/(-135). Determine g, given that 4/5 + 6/5*g + z*g**2 = 0.
-2, -1
Suppose 2*s = -i - 10, i - 3*s - 15 = -2*i. Suppose 0 = 4*c + 5*p - 32, i = 4*c + 2*p - 10 - 10. Factor -6/5*v**4 + 0*v + 0 + 2/5*v**5 + 6/5*v**c - 2/5*v**2.
2*v**2*(v - 1)**3/5
Let a(y) = -1. Let q(x) = -x**2 + 6*x + 3. Let v(t) = -6*a(t) + q(t). Let l be v(7). Factor 2/7*z + 0 + 4/7*z**l + 0*z**3 - 2/7*z**5 - 4/7*z**4.
-2*z*(z - 1)*(z + 1)**3/7
Let y(f) = -2*f + 4 + 0 + 2*f**2 - 20. Let r(q) = -1. Let h(i) = -12*r(i) + y(i). Factor h(g).
2*(g - 2)*(g + 1)
Let h(x) be the first derivative of x**6/105 + x**5/35 - 2*x**3/21 - x**2/7 + 3*x - 2. Let t(c) be the first derivative of h(c). Let t(m) = 0. What is m?
-1, 1
Let c(a) be the first derivative of -a**8/28 + 3*a**7/70 + a**6/40 - a**2/2 + 4. Let r(d) be the second derivative of c(d). Solve r(n) = 0.
-1/4, 0, 1
Let o(c) = c - 2 + 0 + c. Let s be o(2). Let -1/4 - 1/4*y**s - 1/2*y = 0. What is y?
-1
Let g(a) be the third derivative of -6*a**2 + 1/300*a**6 - 1/60*a**4 - 1/15*a**3 + 0 + 0*a + 1/150*a**5. Factor g(x).
2*(x - 1)*(x + 1)**2/5
Let o = -10 + 13. Determine r, given that 40*r + r**o - 14*r**4 - 5*r**2 + 47*r**2 - 5*r**3 - 4 + 12 = 0.
-1, -2/7, 2
Let s(o) be the third derivative of o**8/2184 - o**7/1365 - o**6/260 + o**5/78 - o**4/78 + 4*o**2. Let s(w) = 0. What is w?
-2, 0, 1
Let z(s) be the second derivative of -s**5/20 - s**4/6 + s**3/3 + 2*s. Let h be z(-3). Let -3/2*x**2 - 2 - 3*x - 1/4*x**h = 0. Calculate x.
-2
Let n = -872/5 + 2626/15. What is r in 2/3*r - 2/3 + 2/3*r**2 - n*r**3 = 0?
-1, 1
Suppo