ive of a(k). Factor o(u).
2*u**2*(u - 1)*(u + 1)/3
Let g(z) = 9*z**5 - 5*z**4 - 5*z**3 - 5*z**2 - 5. Let a(w) = -8*w**5 + 4*w**4 + 4*w**3 + 4*w**2 + 4. Let b(u) = -5*a(u) - 4*g(u). Factor b(x).
4*x**5
Let w(k) be the first derivative of 1/2*k**2 - k - 1 - 1/12*k**3. Suppose w(v) = 0. Calculate v.
2
What is d in 6*d**4 - 14*d**4 + 3*d**5 + 0*d**4 + d**5 = 0?
0, 2
Let p be 2*9/(-12)*-2. Suppose -1 = -n + p. Factor 3*a**3 - 6*a**n + 6*a**4 + 4*a**4 - a**3 + 2*a**5.
2*a**3*(a + 1)**2
Let 1/2*l**3 + 9/2*l - 2 - 3*l**2 = 0. Calculate l.
1, 4
Let o = -76 - -382/5. Suppose -3*t = 5*t. Solve t + 0*n - o*n**3 + 0*n**2 = 0.
0
Let j(d) = -d**2 - d - 4*d**3 + 3*d**3 + 2*d + 0*d**3. Let u be j(-2). Factor b**5 + u*b - 4*b**3 + 3*b**3 - 2*b.
b**3*(b - 1)*(b + 1)
Let y be (-21)/(-9) - 4/(-6). Let v be (1 + -2)*2*-2. Factor -2*m**5 + 4 - 5*m - 4 + v*m**y + 3*m.
-2*m*(m - 1)**2*(m + 1)**2
Let w = -7 - -1. Let p(i) = -i**2 + 6*i. Let b = 18 - 17. Let h(q) = q. Let l(j) = b*p(j) + w*h(j). Factor l(r).
-r**2
Let d(h) be the third derivative of 0*h**3 + 0*h + 1/120*h**5 + 3*h**2 + 0 + 1/480*h**6 + 1/96*h**4. Find i, given that d(i) = 0.
-1, 0
Let m(q) = 3*q + 27. Let d be m(-8). Let l(s) be the first derivative of -1/6*s**2 + 2/9*s**3 + 0*s**4 + 1/18*s**6 + d - 2/15*s**5 + 0*s. Factor l(w).
w*(w - 1)**3*(w + 1)/3
Let v = -497 + 2486/5. What is k in -1/5*k**2 + 2/5 + v*k = 0?
-1, 2
Factor -13*u**2 - 12*u**4 + 3 - 28*u**2 + 33*u**3 + 3*u + 14*u**2.
-3*(u - 1)**3*(4*u + 1)
Let q(i) = -3*i - 3 + i - 1. Let o be q(-3). Determine n, given that -4/9*n + 0 - 10/9*n**o = 0.
-2/5, 0
Let b = -88 + 88. Let a(w) = w - 4. Let r be a(4). Factor 0 + b*z - 2/11*z**3 + r*z**2.
-2*z**3/11
Let m be 9/(-24)*(-5 - 3). Let w(a) be the first derivative of 1/4*a**2 - 1/12*a**m + 0*a + 1/20*a**5 - 1/8*a**4 - 1. Factor w(s).
s*(s - 2)*(s - 1)*(s + 1)/4
Let r(y) = -4*y**2 + 10*y + 12*y**2 + 4*y. Let w(z) = 3*z**2 + 5*z. Let s(u) = 4*r(u) - 11*w(u). Factor s(f).
-f*(f - 1)
Suppose -o = -2*o + 3*f + 1, -17 = -3*o - 5*f. Suppose 0*m = -3*m - o*u + 2, 3*m = -5*u + 1. Suppose 1/3 + 1/3*r**3 + r**m + r = 0. What is r?
-1
Let j be 5 - 3/(-1*3). Let g be (2/(-1 - -2))/1. Find v such that 7*v**2 - v**2 - g*v**2 - 7*v**2 - j*v = 0.
-2, 0
Let o be (1 + (-6)/8)/(6/16). Let x be (-4)/(-6) - 4/6. Factor 2/3*j**3 + x - o*j + 0*j**2.
2*j*(j - 1)*(j + 1)/3
Find f such that 8 + 10*f**3 - 10*f**4 + 3*f**3 + f**3 - 16*f + 3*f**5 + 2*f**2 - f**5 = 0.
-1, 1, 2
Let -5/2*q**2 + 0*q + 5/2 = 0. Calculate q.
-1, 1
Let y = -38 - -38. Solve 4/5*q + 2/5*q**2 + y = 0 for q.
-2, 0
Let p(m) be the third derivative of -m**6/660 + m**5/55 + 22*m**2. Factor p(l).
-2*l**2*(l - 6)/11
Let b be 2 + -1 + (-12)/(-4). Solve -7*r + 9*r**2 + r**b - 5*r**3 - 2 + 1 + 3 = 0.
1, 2
Let 8 + 2*v - 4*v**3 - 7*v**3 - 18*v**2 - 2*v**4 - 6*v = 0. What is v?
-2, 1/2
Let p be (-14)/56 - 254/(-2232). Let i = p - -18/31. Find k such that 2/9*k + 4/9*k**4 - i*k**2 + 0*k**3 + 0 - 2/9*k**5 = 0.
-1, 0, 1
Let k be 1/((-3 - -1)/40). Let b = k + 24. Factor 12/7*r**2 + 8/7*r + 2/7*r**b - 16/7 - 10/7*r**3.
2*(r - 2)**3*(r + 1)/7
Factor 64*m**3 - m + 3*m**2 - m - 65*m**3.
-m*(m - 2)*(m - 1)
Suppose -n + 38 - 36 = 0. Find o such that -6/7*o**n + 0 + 4/7*o + 2/7*o**3 = 0.
0, 1, 2
Suppose -5*c + 36 = 6. Let h(d) be the third derivative of 1/600*d**c + 1/15*d**4 + 0 - 1/60*d**5 + 0*d - 2/15*d**3 - 2*d**2. Factor h(m).
(m - 2)**2*(m - 1)/5
Let w(t) = -4*t**5 + 7*t**4 - 2*t**3 + 5*t**2 + 6. Let p(n) = -8*n**5 + 15*n**4 - 5*n**3 + 11*n**2 + 13. Let l(o) = 6*p(o) - 13*w(o). Solve l(c) = 0 for c.
-1, 0, 1/4, 1
Let j(p) be the second derivative of p**7/1260 - p**6/504 - p**5/210 + 5*p**4/12 - 2*p. Let o(q) be the third derivative of j(q). Solve o(i) = 0 for i.
-2/7, 1
Let b(j) be the third derivative of j**8/1344 - j**7/840 - j**6/160 + j**5/240 + j**4/48 + 7*j**2. Factor b(s).
s*(s - 2)*(s - 1)*(s + 1)**2/4
Let b(a) be the first derivative of a**4/36 + a**3/9 + a**2/6 - a - 4. Let j(w) be the first derivative of b(w). Factor j(x).
(x + 1)**2/3
Let x = 41/2 + -20. Let q(f) be the second derivative of -3/14*f**7 + 0*f**3 + 0 - 5/4*f**4 + 1/4*f**5 + x*f**6 - 2*f + 2*f**2. Factor q(p).
-(p - 1)**3*(3*p + 2)**2
Let k be ((-18)/(-12))/(1/14). Let h be k/6 - (-1)/2. Factor -1 + h*d**3 + 3*d - 3*d**2 - 3*d**3 + 0.
(d - 1)**3
Factor 0 - 4/5*a**2 + 1/10*a**4 + 0*a + 7/10*a**3.
a**2*(a - 1)*(a + 8)/10
Let d(l) = 16*l**3 - 41*l**2 + 14*l + 6. Let q(s) be the first derivative of s**4/4 + s**3/3 - s**2/2 + 5. Let z(u) = d(u) + 5*q(u). Let z(j) = 0. What is j?
-2/7, 1
Factor -4/3 - 2/3*b**2 + 2*b.
-2*(b - 2)*(b - 1)/3
Let m(l) = 3*l**3 - 3*l**2 + 5. Let s(d) = -4*d**3 + 4*d**2 - 6. Let i(k) = -6*m(k) - 5*s(k). Find v, given that i(v) = 0.
0, 1
Suppose -8 = -4*g - 0. Let i(c) be the first derivative of 2/5*c**5 - c**4 + 2*c**2 + 0*c**3 - 1 - g*c. Determine q so that i(q) = 0.
-1, 1
Let s(f) be the first derivative of 2*f**5/25 - 3*f**4/10 + 2*f**3/5 - f**2/5 - 30. Factor s(b).
2*b*(b - 1)**3/5
Suppose a - 274 = q, -2*q + 4*a = 3*a + 545. Let n = q - -1089/4. Find c, given that -1/4*c - c**3 + 0 - n*c**2 = 0.
-1, -1/4, 0
Suppose -2/3*n + 1/3*n**2 + 0 = 0. Calculate n.
0, 2
Let n(g) = 4*g**3 - 20*g**2 + 36*g + 4. Let z(c) = -8*c**3 + 41*c**2 - 72*c - 7. Let u(x) = 7*n(x) + 4*z(x). Solve u(o) = 0.
0, 3
Let u(t) = -2*t**4 - 12*t**2 - 14. Let y(i) = i**2 + 1. Let x(g) = -2*u(g) - 28*y(g). Factor x(f).
4*f**2*(f - 1)*(f + 1)
Let t(b) be the third derivative of b**6/60 + b**5/10 + b**4/6 + 7*b**2. What is c in t(c) = 0?
-2, -1, 0
Let d(j) = j**3 - 19*j**2 + j - 15. Let p be d(19). Solve -1/3*q + q**2 - q**3 + 0 + 1/3*q**p = 0 for q.
0, 1
Let z(h) be the second derivative of -h**4/54 - h**3/9 - 18*h. Factor z(l).
-2*l*(l + 3)/9
Let d(c) be the first derivative of c**5/60 + 3*c**2/2 + 4. Let x(w) be the second derivative of d(w). Determine u, given that x(u) = 0.
0
Let j(w) be the second derivative of -5*w**4/12 + w**3/2 + 11*w**2/2 + 9*w. Let c(s) = -29*s**2 + 17*s + 65. Let f(t) = -6*c(t) + 34*j(t). Factor f(v).
4*(v - 2)*(v + 2)
Let o(v) be the second derivative of -v**6/40 + 3*v**5/5 - 6*v**4 + 32*v**3 - 96*v**2 - 3*v. Factor o(k).
-3*(k - 4)**4/4
What is p in 0 - 2/15*p + 2/5*p**3 - 4/15*p**4 + 0*p**2 = 0?
-1/2, 0, 1
Let o(g) = 3*g**3 + 108*g**2 + 973*g + 2915. Let s(v) = v**3 - v + 1. Let f(u) = -o(u) - s(u). Factor f(n).
-4*(n + 9)**3
Let h(v) = 4*v**3 - 12*v**2 + 12*v. Let s(a) = -a**2 + a. Let p(b) = -h(b) - 4*s(b). Factor p(w).
-4*w*(w - 2)**2
Let x(r) be the second derivative of -r**4/42 + 2*r**3/21 - 27*r. Find q, given that x(q) = 0.
0, 2
Suppose 3/4*w**2 + 3/4 + 3/2*w = 0. What is w?
-1
Let s = 77 + -77. Solve s*t**2 - 4/9*t**3 + 0 - 10/9*t**4 + 0*t = 0.
-2/5, 0
Let h be 8/20 - 46/(-10). Let v = -3 + h. Let p(w) = -w + 1. Let t(z) = z**2 + 11*z - 3. Let q(i) = v*t(i) + 14*p(i). Factor q(l).
2*(l + 2)**2
Let q = -34 - -34. Factor q - 2/3*f**5 + 0*f**2 + 4/3*f**4 - 2/3*f**3 + 0*f.
-2*f**3*(f - 1)**2/3
Let q(x) = -17*x - 1. Let k be q(1). Let j be k/63 + (-15)/(-28). Factor -1/4*u**2 + j + 0*u.
-(u - 1)*(u + 1)/4
Solve 0 + 0*g**2 - 3/2*g + 3/2*g**3 = 0 for g.
-1, 0, 1
Let i be -2 - -5 - 3/3. Factor i + 3*b**2 - 4*b**4 - 7*b**2 - 2 + 8*b**3.
-4*b**2*(b - 1)**2
Let c be (-26)/24 - (-230)/184. Solve c*f + 0 + 0*f**2 - 1/6*f**3 = 0 for f.
-1, 0, 1
Let d(j) = j**3 - 4*j**2 - j + 2. Let q(i) = 1. Let k(b) = d(b) + 2*q(b). What is v in k(v) = 0?
-1, 1, 4
Let i be 30/36 - 1/2. Suppose 0 = c - 5 + 1. Determine r, given that 2/3*r**3 - 1/3*r**5 + 1/3*r**c - i*r + 1/3 - 2/3*r**2 = 0.
-1, 1
Factor -2/7*d**3 + 2*d - 8/7 - 4/7*d**2.
-2*(d - 1)**2*(d + 4)/7
Let 4 + 22 + v**2 + 22 + 12*v - 12 = 0. Calculate v.
-6
Let k(x) be the second derivative of x**5/4 + 5*x**4/4 + 5*x**3/3 - 13*x. Factor k(c).
5*c*(c + 1)*(c + 2)
Let a(x) be the second derivative of -x**4/12 + 2*x. Let i = -5 - -6. Let f(g) = -16*g**2 + 4*g. Let m(d) = i*f(d) - 6*a(d). Determine t so that m(t) = 0.
0, 2/5
Let q(r) be the first derivative of 0*r**3 + 0*r + 1/24*r**4 - r**2 + 1/60*r**5 - 2. Let s(i) be the second derivative of q(i). Factor s(w).
w*(w + 1)
Let d(y) be the first derivative of -y**6/240 + y**5/40 - y**4/24 + 3*y**2/2 - 3. Let v(q) be the second derivative of d(q). Factor v(x).
-x*(x - 2)*(x - 1)/2
Let d(i) be t