e 12/10*(15/9 - 0). Factor z - 1/4*z**4 - 1/4 + z**3 - 3/2*z**x.
-(z - 1)**4/4
Let a(k) be the first derivative of k**6/40 - k**5/15 - k**4/24 + k**3/3 - 5*k**2/2 + 3. Let n(j) be the second derivative of a(j). Factor n(o).
(o - 1)**2*(3*o + 2)
Suppose -4*z + 3*u = 9, -2*u + 12 = -5*z + 2*u. Factor z + 1/2*m - 1/2*m**2.
-m*(m - 1)/2
Factor -2/5*u + 2/5 - 2/5*u**5 + 4/5*u**3 - 4/5*u**2 + 2/5*u**4.
-2*(u - 1)**3*(u + 1)**2/5
Suppose 0 = q + 2*q - 18. Let g = q - 4. Determine s so that 10*s**4 - 11*s + 23*s**g - 24*s**3 - 5*s**2 + 7*s = 0.
0, 2/5, 1
Let h(q) = q**2 + 2*q - 2. Let c(a) = 4*a + 5. Let g(f) = -3*f - 4. Let v(i) = 4*c(i) + 5*g(i). Let m(r) = h(r) - 3*v(r). Let m(t) = 0. Calculate t.
-1, 2
Suppose 96 + 24 = 4*f. Let o be f/50*(-4)/(-3). Determine h so that -2/5*h - 2/5*h**3 - o*h**2 + 0 = 0.
-1, 0
Let o(r) be the first derivative of r**6/11 - 54*r**5/55 + 45*r**4/11 - 92*r**3/11 + 9*r**2 - 54*r/11 - 23. Solve o(s) = 0 for s.
1, 3
Let z(a) be the third derivative of -a**5/120 - a**4/48 + a**3/6 - 7*a**2. Let z(k) = 0. Calculate k.
-2, 1
Let v(m) be the second derivative of -m**6/420 + m**4/28 - 2*m**3/21 - 3*m**2 + m. Let d(z) be the first derivative of v(z). Factor d(t).
-2*(t - 1)**2*(t + 2)/7
Let m(t) be the first derivative of t**6/1620 + t**5/540 - t**4/54 + 5*t**3/3 + 1. Let b(c) be the third derivative of m(c). Factor b(f).
2*(f - 1)*(f + 2)/9
Let n be 25/(-70)*1210/(-1). Let a = -431 + n. What is x in -2/7 + 2*x - 30/7*x**2 + 26/7*x**3 - a*x**4 = 0?
1/4, 1
Factor 0*d + 0 + 2*d**2 - 1/2*d**5 - 3/2*d**4 + 0*d**3.
-d**2*(d - 1)*(d + 2)**2/2
Let c(g) = -2*g**2 + 1. Let s(v) = -v**2 + v + 1. Let w be -4 + 1 + 3 + -2. Let f(q) = w*c(q) + 2*s(q). Suppose f(y) = 0. What is y?
-1, 0
Let w be 5 - 0 - (-9 - -12). Factor 1/3*l**w - l + 2/3.
(l - 2)*(l - 1)/3
Let q(w) = -w**4 + w - 1. Let b(j) = j**5 + 4*j**4 - j**3 - j**2 - 3*j + 3. Let y = 23 - 20. Let k(c) = y*q(c) + b(c). Find s, given that k(s) = 0.
-1, 0, 1
Let j(a) be the first derivative of a**2 + 0*a + 2/3*a**3 - 3 - 2/5*a**5 - 1/2*a**4. Suppose j(r) = 0. Calculate r.
-1, 0, 1
Let d be 9/6 + (-35)/24. Let r(s) be the second derivative of 1/60*s**6 - 1/40*s**5 - d*s**4 - 2*s + 0*s**3 + 0*s**2 + 1/84*s**7 + 0. Solve r(a) = 0.
-1, 0, 1
Let d = 45/122 + 8/61. Factor d*x + 27/2*x**3 - 27/2*x**4 - 9/2*x**2 + 0.
-x*(3*x - 1)**3/2
Let m(w) = -2*w**3 - 20*w**2 + 26*w - 8. Let b(z) = 3*z**3 + 21*z**2 - 26*z + 7. Let s(d) = -4*b(d) - 5*m(d). Suppose s(a) = 0. Calculate a.
1, 6
Let p = 54/11 + -248/55. Let l(q) be the first derivative of 3/20*q**4 - p*q + 4/15*q**3 - 1/10*q**2 - 1. Determine d, given that l(d) = 0.
-1, 2/3
Suppose 4/5*l**2 + 0*l + 1/5*l**3 + 0 = 0. What is l?
-4, 0
Let f(d) be the second derivative of d**6/300 + 2*d**5/75 + d**4/15 + d**3/6 - 2*d. Let j(i) be the second derivative of f(i). Let j(t) = 0. Calculate t.
-2, -2/3
Let r = 0 - 22. Let i be (-40)/r + 12/66. What is h in -6*h**i - h**2 - 3*h**2 - 14*h - 4 = 0?
-1, -2/5
Let h(w) be the first derivative of 5*w**6/2 + 19*w**5/5 - 35*w**4/4 - 5*w**3 + 10*w**2 - 4*w + 4. Solve h(c) = 0.
-2, -1, 1/3, 2/5, 1
Determine i, given that -2*i + 5*i**3 + i - 6*i + 2*i = 0.
-1, 0, 1
Let v(l) be the second derivative of -l**3/2 - 8*l**2 + 3*l. Let k be v(-6). Factor k + 4/3*y - 2/3*y**2.
-2*(y - 3)*(y + 1)/3
Let y(b) be the first derivative of -4/3*b**3 - 2*b**4 + 0*b**2 + 0*b - 5 - 4/5*b**5. Solve y(g) = 0.
-1, 0
Let t(o) be the first derivative of -o**6/4 + 3*o**5/10 + 3*o**4/8 - o**3/2 + 6. Factor t(z).
-3*z**2*(z - 1)**2*(z + 1)/2
Let h(w) be the first derivative of 2*w**6/15 - 3*w**5/10 + w**4/48 + w**3/4 + w**2/8 + w + 1. Let o(y) be the first derivative of h(y). Factor o(c).
(c - 1)**2*(4*c + 1)**2/4
Let k(j) be the second derivative of -j**5/40 + j**4/12 - j**3/12 - 6*j + 3. Factor k(m).
-m*(m - 1)**2/2
Let s(m) = -m**5 + m**4 - 5*m**3 - m**2 - 2. Let x(t) = 3*t**5 - 3*t**4 + 11*t**3 + 3*t**2 + t + 5. Let d = -19 - -24. Let f(c) = d*s(c) + 2*x(c). Factor f(q).
q*(q - 2)*(q - 1)*(q + 1)**2
Let b = 16 - 18. Let l = 1 - b. Determine o, given that 0*o + 0*o**2 - 50/7*o**5 - 40/7*o**4 - 8/7*o**l + 0 = 0.
-2/5, 0
Let y(z) be the second derivative of -z**7/168 + z**6/24 - z**5/20 - z**4/3 + 4*z**3/3 - 2*z**2 - 50*z. Factor y(k).
-(k - 2)**3*(k - 1)*(k + 2)/4
Let d be ((-1)/(2/(-6)))/1. Suppose 3*k - d = -3*u, -3*k - 12 = -u - u. Factor 12*g - 18*g**u + 6 + 5*g**3 - 14*g**3 + 2 - 18*g**2.
-(3*g - 2)*(3*g + 2)**2
Suppose -q - 3*y = -4*y + 1, 2*q + 4*y - 22 = 0. Factor 0 - n**2 - 1/2*n - 1/2*n**q.
-n*(n + 1)**2/2
Suppose 0 = 3*k - 4 - 8. Suppose k*h = 8*h + 2*y, y = h. Factor -1/3*j + h - 1/3*j**2.
-j*(j + 1)/3
Factor 16/17 - 4/17*y - 2/17*y**2.
-2*(y - 2)*(y + 4)/17
Suppose -4*f = f + 4*a - 55, 2*f - 25 = -a. Let v be 8/f - (-2)/(-10). Factor -2/3*q + 1/3*q**2 + v.
(q - 1)**2/3
Let r = 5 + -6. Let u be (8/24)/(r/(-2)). Factor b**4 + u + 1/3*b**3 - 5/3*b**2 - 1/3*b.
(b - 1)*(b + 1)**2*(3*b - 2)/3
Suppose y = 3*y - 32. Find g, given that y*g - 15*g - 4*g**2 + 11*g = 0.
0, 3
Let x(r) = r**2 - 2*r. Let y be x(3). Let m = 8 - y. Find s such that 2 + 3*s**5 - 8*s**3 + 2*s + 0*s**5 + 4*s**3 + 2*s**4 - s**m - 4*s**2 = 0.
-1, 1
Let u(n) = -5*n**2 - n + 9. Let r(d) = 4*d**2 - 10. Let g(f) = 5*r(f) + 6*u(f). Determine a so that g(a) = 0.
-1, 2/5
Let o = -142/3 - -48. Let n(f) be the second derivative of -f + 2/9*f**3 + 0 - 1/36*f**4 - o*f**2. Factor n(s).
-(s - 2)**2/3
Let o(f) be the second derivative of -7*f**5/160 + f**4/48 + 7*f**3/48 - f**2/8 - 13*f. Solve o(v) = 0.
-1, 2/7, 1
Let a(k) = 11*k**2 + 15*k + 11. Let q(z) = -z - 1. Let c be q(6). Let m(w) = 5*w**2 + 7*w + 5. Let p(i) = c*m(i) + 3*a(i). Factor p(y).
-2*(y + 1)**2
Let i(a) be the second derivative of a**6/80 + 33*a**5/160 + 19*a**4/32 + 9*a**3/16 + 6*a. Find m such that i(m) = 0.
-9, -1, 0
Let w(u) be the third derivative of -u**7/10080 + u**6/1440 - u**5/480 - u**4/12 + u**2. Let n(q) be the second derivative of w(q). Let n(y) = 0. What is y?
1
Let m(n) = -n**2 - 4*n + 2. Let b be m(-4). Find c, given that 0*c**2 + 2*c**b + 6*c + 7 - 14*c + 1 = 0.
2
Suppose 5*o + 3*k - 10 = 7*k, 5*o + 2*k = 40. Factor -4*b**4 + o*b**5 + 0*b**4 + 12*b**5.
2*b**4*(9*b - 2)
Solve 4/3*z**2 + 2/3*z**3 + 8/3 - 14/3*z = 0.
-4, 1
Let 4/13 + 10/13*p**2 + 14/13*p = 0. Calculate p.
-1, -2/5
Let x(c) be the first derivative of 7 - 3/4*c + 3/16*c**4 - 3/4*c**3 + 9/8*c**2. Factor x(f).
3*(f - 1)**3/4
Let o(a) be the third derivative of a**6/24 + 5*a**5/12 - 5*a**4/24 - 25*a**3/6 + 54*a**2. Factor o(m).
5*(m - 1)*(m + 1)*(m + 5)
Suppose p + 3*s = 6, -2*p + s - 2 = p. Factor 1/3*l**3 - 2/3*l + p + 1/3*l**2.
l*(l - 1)*(l + 2)/3
Factor 9 + 2*f - 5*f - 3*f + f**2.
(f - 3)**2
Let d(l) be the second derivative of -1/2*l**3 + 1/12*l**4 + l**2 + 0 + 4*l. Solve d(f) = 0 for f.
1, 2
Let t(a) be the second derivative of -a**6/1620 - a**5/180 - a**4/54 + 5*a**3/6 + 4*a. Let m(o) be the second derivative of t(o). Factor m(k).
-2*(k + 1)*(k + 2)/9
Let 228*q + 85*q**4 - 243*q - 45*q**3 - 22*q**2 + 60*q**5 - 73*q**2 + 10 = 0. What is q?
-1, -2/3, 1/4, 1
Suppose 8/7 + 2/7*t**3 - 8/7*t - 2/7*t**2 = 0. Calculate t.
-2, 1, 2
Factor 4*g - 2/3*g**2 - 16/3.
-2*(g - 4)*(g - 2)/3
Suppose -3*z**3 - z**3 - 2*z + 4*z**3 + z**2 + z**3 = 0. Calculate z.
-2, 0, 1
Let h(j) be the third derivative of 0*j + 1/12*j**4 - 1/60*j**5 + 0 + 1/2*j**3 + 7*j**2. What is p in h(p) = 0?
-1, 3
Let f = 22 + -12. Let n be ((-4)/15)/(f/(-15)). Factor -2/5*s**2 + 0 - n*s**4 - 4/5*s**3 + 0*s.
-2*s**2*(s + 1)**2/5
Suppose -4*b = -b - 15. Let u(n) be the second derivative of 3*n + 0*n**4 - 1/15*n**6 + 0 + 0*n**2 - 1/10*n**b + 0*n**3. Solve u(d) = 0 for d.
-1, 0
Let z(w) be the third derivative of w**7/420 - w**6/80 + w**5/120 + w**4/16 - w**3/6 - 5*w**2. Factor z(p).
(p - 2)*(p - 1)**2*(p + 1)/2
Let r = -9 + 14. Suppose -x + r = 2. Let -k + 2 - 2*k**4 - 4*k**x + 4*k + k = 0. Calculate k.
-1, 1
Let g be 6/33 - 42/(-11). Suppose 0 = -v - g + 6. Determine u, given that -2/11 - 4/11*u + 2/11*u**4 + 4/11*u**3 + 0*u**v = 0.
-1, 1
Suppose 0 = 3*b - 6 + 15. Let j be b/12 - 23/(-28). What is r in -2/7*r**4 + 2/7 - j*r + 4/7*r**3 + 0*r**2 = 0?
-1, 1
Let i be 2/4 - 248/(-16). Factor 7*u**3 + 1 - 14*u**5 - 21*u**2 - 5 + 11*u**5 + i*u + 5*u**4.
-(u - 1)**3*(u + 2)*(3*u - 