ve of -p + 0 + 2*p**3 + 1/2*p**4 + 1/20*p**k + 4*p**2. Factor x(t).
(t + 2)**3
Let q be (4/18*(-36)/12)/(-1). Factor 1/3*b**2 - q - 1/3*b.
(b - 2)*(b + 1)/3
Let u(i) be the second derivative of -1/15*i**3 + 1/30*i**4 - i**2 + 1/50*i**5 + 0 + i. Let b(a) be the first derivative of u(a). Factor b(x).
2*(x + 1)*(3*x - 1)/5
Suppose -y - 7*j = -2*j - 5, 0 = -3*y - 3*j + 3. Suppose -3*l + 5*b + 11 = 0, -4*l + 10 = -2*b - y*b. Determine p, given that 2/7 + 2/7*p**l + 4/7*p = 0.
-1
Suppose -16*z + 1 + 31 = 0. Let a(n) be the first derivative of 0*n + 0*n**z - 2/15*n**3 + 4. Factor a(t).
-2*t**2/5
Let q(c) = -c - 47*c**2 - 2*c**3 - 5*c + 55*c**2. Let v(b) = b**2 - b. Let n(u) = q(u) - 4*v(u). Let n(a) = 0. What is a?
0, 1
Let v(f) = 2*f**3 + 7*f**2 - 5*f + 5. Let a(s) = s**3 + 4*s**2 - 3*s + 3. Let d(b) = 10*a(b) - 6*v(b). Factor d(n).
-2*n**2*(n + 1)
Determine c so that -2*c**2 - 3*c + 0*c + 2*c**2 + 3*c**2 = 0.
0, 1
Suppose -80 = 4*y - 88. Let b be (-1)/(-3)*-2*-3. Let 4*f**b - 2*f**4 + 2*f - y*f - 2 = 0. What is f?
-1, 1
Let v be ((-9)/(-6))/((-2)/24). Let q be ((-4)/v)/(16/24). Solve 2/3*o - 1/3*o**2 - q = 0.
1
Let b = -19 - -41/2. Factor -3 + 9/2*u + 0*u**2 - b*u**3.
-3*(u - 1)**2*(u + 2)/2
Let y = -6 + 8. Suppose -5*b = -3*f - 5, 2 = y*f + 5*b - 3. Suppose -2/3*r**3 - r**4 + f*r**2 + 0*r + 0 + 5/3*r**5 = 0. Calculate r.
-2/5, 0, 1
Let j(v) = 16*v**3 - 10*v**2 - 6*v + 10. Let w(h) = 5*h**3 - 3*h**2 - 2*h + 3. Let l(b) = 3*j(b) - 10*w(b). Factor l(k).
-2*k*(k - 1)*(k + 1)
Let s = 5 - 5. Suppose -2*z + 6 = -s*z. Factor p**5 - p**2 + p**4 - 2*p**5 + 9*p**z - 8*p**3.
-p**2*(p - 1)**2*(p + 1)
Let r(k) = -4*k**3 - 3*k**2 + k + 2. Let a be r(-1). Factor 0 + 0*v + 1/4*v**3 + 1/4*v**4 + 0*v**a.
v**3*(v + 1)/4
Let s(q) = 3*q**5 + 6*q**4 + 10*q**3 - 7*q. Let d(t) = -t**5 - 2*t**4 - 3*t**3 + 2*t. Let u(i) = 7*d(i) + 2*s(i). Factor u(n).
-n**3*(n + 1)**2
Let 662*v - 4*v**2 - 40 + 0*v**2 - 634*v = 0. What is v?
2, 5
Let p(k) be the third derivative of 0*k**4 + 0 + 1/36*k**6 - 1/90*k**5 + 0*k**3 - 5/504*k**8 + 3*k**2 + 1/315*k**7 + 0*k. Solve p(w) = 0 for w.
-1, 0, 1/5, 1
Suppose -8*q + 16 + 40 = 0. Let u(k) be the third derivative of -1/160*k**6 + 0*k**3 + 0*k - 1/840*k**q + 0 - 3*k**2 - 1/80*k**5 - 1/96*k**4. Factor u(h).
-h*(h + 1)**3/4
Let x be (-22)/(-6) - 34/51. Find o, given that 0*o - 7*o - 4 + 22*o**2 - x*o - 8*o**3 = 0.
-1/4, 1, 2
Let h(a) be the second derivative of -a**6/360 + a**5/30 - a**4/6 + a**3/2 - a. Let j(k) be the second derivative of h(k). Let j(n) = 0. What is n?
2
Let r(k) be the second derivative of k**6/900 + k**5/75 + k**4/15 + k**3/2 + 3*k. Let j(a) be the second derivative of r(a). Factor j(m).
2*(m + 2)**2/5
Let x(b) be the second derivative of -3*b**5/4 + 5*b**4/12 - 18*b. Determine n, given that x(n) = 0.
0, 1/3
Factor -24*r**2 - 9*r + 6*r**3 + 12*r**4 - 18*r**5 + 12*r**2 + 21*r**5.
3*r*(r - 1)*(r + 1)**2*(r + 3)
Let h be (2 - -1 - 3)/(-2). Let z be h*((-5)/2)/5. What is y in z + 1/5*y**2 + 1/5*y = 0?
-1, 0
Let y(q) = 2*q**3 + 9*q**2 + 7*q + 5. Let z = 14 - 8. Let f(l) = z*l + 8*l**2 + 3 + 3 + 2*l**3 - 2. Let p(g) = -5*f(g) + 4*y(g). Factor p(t).
-2*t*(t + 1)**2
Let h(l) be the third derivative of l**6/420 - l**5/70 + 19*l**2. Determine i, given that h(i) = 0.
0, 3
Determine s, given that 2*s - 2/3*s**2 + 8/3 = 0.
-1, 4
Let h = 11 + -9. Find w, given that -h + 10*w - 2*w - 7 - 2*w**2 + 1 = 0.
2
Suppose 2*b = -0*b + 300. Let p be ((-80)/b)/(6/(-20)). Factor -4/3*s**2 + 2/9*s**3 + 8/3*s - p.
2*(s - 2)**3/9
Let h be 9*(66/70 + (-40)/50). Suppose -12/7 + 24/7*x + 33/7*x**2 + h*x**3 = 0. Calculate x.
-2, 1/3
Let c = -13 - -15. Let s = -3/13 - -22/39. What is y in s*y**c + 1/3*y - 2/3 = 0?
-2, 1
Let x(j) be the third derivative of j**7/735 - j**6/420 - j**5/70 + j**4/84 + 2*j**3/21 + 16*j**2. Factor x(d).
2*(d - 2)*(d - 1)*(d + 1)**2/7
Let t(y) be the third derivative of -y**5/480 + y**3/12 - 15*y**2. Solve t(d) = 0.
-2, 2
Let x(z) be the third derivative of z**6/72 + 7*z**5/45 + 11*z**4/24 - z**3 + z**2 + 11*z. Find y such that x(y) = 0.
-3, 2/5
Let w(x) = x**4 - x**3 - 12*x**2 - 5*x. Let i(f) = 3*f**4 - 3*f**3 - 42*f**2 - 18*f. Let a(k) = 5*i(k) - 18*w(k). Let a(u) = 0. Calculate u.
-1, 0, 2
Suppose 3*b + b + 80 = 0. Let o be (45/b)/((-6)/16). Determine r so that -3 - 8*r - o*r + 8*r - 2*r**2 - r**2 = 0.
-1
Let b(x) = x. Let t(c) = -3*c**2 - 7*c - 12. Let g(r) = 5*b(r) - t(r). Solve g(q) = 0 for q.
-2
Let g(c) be the second derivative of c**7/21 + 11*c**6/60 + 9*c**5/40 + c**4/24 - c**3/12 - 8*c. Factor g(x).
x*(x + 1)**3*(4*x - 1)/2
Determine x so that 12*x + 90 + 2/5*x**2 = 0.
-15
Let f(s) be the second derivative of 0*s**2 + 1/6*s**4 + 0 + 0*s**3 - 1/4*s**5 - 10*s. Factor f(h).
-h**2*(5*h - 2)
Let i = -48 - -48. Factor 0*o + 1/2*o**5 - 1/2*o**4 + i*o**2 + 0 + 0*o**3.
o**4*(o - 1)/2
Let o(p) be the third derivative of -1/84*p**6 + 4/21*p**3 + 2/21*p**4 - 1/735*p**7 + 1/210*p**5 + 1/1176*p**8 + 0 + 0*p - p**2. Factor o(h).
2*(h - 2)**2*(h + 1)**3/7
Let u(o) be the third derivative of -o**5/20 + 21*o**4/4 - 441*o**3/2 - 19*o**2. Determine w, given that u(w) = 0.
21
Suppose -p + 15 = 3*z, 6*z + p - 20 = 2*z. Determine k so that 9*k**4 - 3*k**2 - 9*k**3 + 3*k**z + 4*k**2 + 2*k**2 - 6*k**5 = 0.
0, 1
Let y(k) be the first derivative of -3/2*k**2 - 1 + 2*k + 1/3*k**3. Let y(w) = 0. What is w?
1, 2
Factor -3/2*o**2 + 2 - 1/4*o**4 - o + 5/4*o**3.
-(o - 2)**3*(o + 1)/4
Let s = 11 + -6. Let o(k) = k**2 - 3*k - 7. Let z be o(s). Factor n**2 + n - z*n - 1 + 2*n.
(n - 1)*(n + 1)
Suppose 0 + 2*v**2 - 2/5*v**3 - 8/5*v = 0. Calculate v.
0, 1, 4
Factor 0*a + 0 + 4/11*a**2 + 10/11*a**3.
2*a**2*(5*a + 2)/11
Let k(a) = a**2 + a - 1. Let s(u) = 2*u**3 + 5*u**2 + 9*u + 11. Let x(m) = -5*k(m) - s(m). Factor x(d).
-2*(d + 1)**2*(d + 3)
Let w(b) be the third derivative of -b**9/20160 + b**7/1680 + b**5/15 + b**2. Let h(y) be the third derivative of w(y). Factor h(l).
-3*l*(l - 1)*(l + 1)
Let k(w) be the second derivative of 0*w**2 + 0*w**4 + 1/80*w**5 + 0*w**6 - w + 0*w**3 + 0 - 1/168*w**7. Factor k(h).
-h**3*(h - 1)*(h + 1)/4
Suppose 2/9*q - 4/9 - 2/9*q**3 + 4/9*q**2 = 0. What is q?
-1, 1, 2
Let n(z) be the second derivative of z**5/10 - z**4/18 - z**3/3 + z**2/3 + 42*z. Factor n(k).
2*(k - 1)*(k + 1)*(3*k - 1)/3
Let t be 195*1/21 - 8. Solve 5/7*i**2 + 1/7*i**3 + 3/7*i - t = 0.
-3, 1
Let c(a) be the second derivative of -2/15*a**5 - 2/9*a**3 + 0 + 10*a + 0*a**2 + 1/45*a**6 + 5/18*a**4. Factor c(p).
2*p*(p - 2)*(p - 1)**2/3
Suppose n + 38 = -n - 5*x, 0 = 2*n - 4*x + 38. Let z = 19 + n. Factor z - 3/2*k**4 - 3/4*k + 3/4*k**5 + 3/2*k**2 + 0*k**3.
3*k*(k - 1)**3*(k + 1)/4
Let r(s) be the second derivative of -s**5/80 + s**4/16 - s**2/2 - 20*s + 1. Determine l, given that r(l) = 0.
-1, 2
Let x(t) be the first derivative of -3*t**5/10 + 5*t**4/3 - 3*t**3 + 2*t**2 - t - 1. Let v(h) be the first derivative of x(h). Factor v(j).
-2*(j - 2)*(j - 1)*(3*j - 1)
Suppose -14 = -2*p + 4*s, -s = 4*p - 2*s - 14. Let c(x) be the first derivative of 14/5*x**5 - 1/3*x**6 + 40/3*x**p + 0*x - 8*x**2 - 9*x**4 - 2. Factor c(j).
-2*j*(j - 2)**3*(j - 1)
Let v(d) = -d**2 + 8*d + 8. Let q be v(9). Let y be q*((-1)/1 + -3). Factor 0 - 2/5*o + 8/5*o**y - 2/5*o**5 - 12/5*o**3 + 8/5*o**2.
-2*o*(o - 1)**4/5
Let s(m) = -m**3 + m**2 + 4*m - 3. Let n be s(2). Let g be n/(-3) - 96/(-18). Suppose -1/5*p**g - 4/5*p**3 - 2/5*p**2 + p - 2/5 + 4/5*p**4 = 0. Calculate p.
-1, 1, 2
Let l(t) be the second derivative of -t**7/14 + 11*t**6/40 - 9*t**5/40 + 25*t. Find y such that l(y) = 0.
0, 3/4, 2
Determine b so that 3/5*b**4 - 12/5*b**5 + 24/5*b**3 - 6/5*b**2 + 3/5 - 12/5*b = 0.
-1, 1/4, 1
Let o = -103 + 106. Let x**2 - x - 1/3*x**o + 1/3 = 0. What is x?
1
Let s(t) = -t - 2. Let y be s(-7). Let x be 6/(-15) + 17/y. Suppose -1/3 + 1/3*w**4 - 2/3*w + 0*w**2 + 2/3*w**x = 0. Calculate w.
-1, 1
Let f = -23 + 18. Let a be 6/(f*(-8)/20). Factor k**4 + 0*k**a + 0 - k**2 - 1/2*k**5 + 1/2*k.
-k*(k - 1)**3*(k + 1)/2
Let n(x) be the third derivative of 0*x + 0 - 1/15*x**4 + 1/6*x**3 - 1/900*x**6 + 1/75*x**5 + 2*x**2. Let l(w) be the first derivative of n(w). Factor l(c).
-2*(c - 2)**2/5
Let a(y) be the third derivative of -y**9/30240 + y**8/1440 - y**7/168 + y**6/40 + y**5/10 + 3*y**2. Let k(t) be the third de