of o(w). Factor f(k).
2*(7*k - 1)**2/7
Factor 7*a**2 + 21*a**3 - 16*a**3 - 35 + 28*a**2 - 5*a.
5*(a - 1)*(a + 1)*(a + 7)
Suppose -3*c + 3*g = -24, g = -4*c + 1 + 6. Let l(d) be the second derivative of -1/20*d**4 + 3/10*d**c - 3/5*d**2 + 0 + 4*d. What is w in l(w) = 0?
1, 2
Solve 6*s**3 + 2*s**2 + 10*s - 40*s**2 + 24*s**2 - 2 = 0.
1/3, 1
Let a(f) = 8*f - 69. Let g be a(9). Factor g*n**2 + 0 + 0*n - 3/2*n**4 + 3/2*n**3.
-3*n**2*(n - 2)*(n + 1)/2
Let u(p) be the third derivative of -4/9*p**3 + 0*p**4 + 1/30*p**5 + 0 - 5*p**2 + 1/180*p**6 + 0*p. Factor u(d).
2*(d - 1)*(d + 2)**2/3
Let y(f) be the second derivative of -f**4/108 + 7*f**3/27 - 49*f**2/18 - 23*f. Factor y(g).
-(g - 7)**2/9
Let x = -2 + 7. Solve 4*c**4 - c**5 - 4*c**2 + 5*c**x - 6*c**5 + 2*c = 0 for c.
-1, 0, 1
Let o(k) = k**3 - 10*k**2 + 12*k - 22. Let u be o(9). Determine x so that x**4 - x**2 - 1/2*x + 0 + 1/2*x**u + 0*x**3 = 0.
-1, 0, 1
Suppose 3*i = 5*q - 8, i = -i - 2. Suppose 4*k + q = 5. Let w**2 - k - 3*w**2 + 3*w**2 = 0. What is w?
-1, 1
Suppose 100*n + 8 = 104*n. Solve 0*a**3 + 0*a**n + 1/3*a**4 + 1/3*a**5 + 0 + 0*a = 0 for a.
-1, 0
Suppose 0 = 4*a - 9*a + 15. Let x(r) be the third derivative of 0*r - 1/40*r**5 + 1/4*r**3 + 0 + a*r**2 + 0*r**4. Let x(v) = 0. Calculate v.
-1, 1
Let k be (-9)/(-3)*(-2)/(-3). Factor 3 - 4*l**2 + 3*l**4 - 7*l**k + 5*l**2.
3*(l - 1)**2*(l + 1)**2
Let l(h) be the third derivative of -h**8/30240 + h**6/1080 + h**5/15 + h**2. Let y(i) be the third derivative of l(i). Determine q so that y(q) = 0.
-1, 1
Let m be (-55)/20 + 1 - -4. Determine z so that 6*z + 0*z**3 - 9/2*z**2 - m + 3/4*z**4 = 0.
-3, 1
Let a = 8 - 3. Let w(i) be the third derivative of -1/2*i**a + 0*i + i**2 + 13/60*i**6 + 7/12*i**4 - 1/3*i**3 - 4/105*i**7 + 0. Factor w(g).
-2*(g - 1)**3*(4*g - 1)
Suppose 2*a = -4*s + 5*a + 14, s - 2*a - 6 = 0. Let 5*i**3 - 2*i**3 - 6*i**2 + 3*i**s = 0. What is i?
0, 1
Let f(z) be the second derivative of z**7/42 - z**6/30 - z**5/20 + z**4/12 + 22*z. Let f(u) = 0. What is u?
-1, 0, 1
Let z be (6/15)/((-105)/(-25)) + 0. Let x(y) be the first derivative of 2/7*y - z*y**3 - 1 - 1/7*y**2 + 1/14*y**4. Let x(q) = 0. What is q?
-1, 1
Let u(c) = 9*c - 47. Let l be u(6). What is v in 17/4*v**4 - 2*v - l*v**3 + 11/2*v**2 - v**5 + 1/4 = 0?
1/4, 1
Let a(r) = 809*r**2 - 169*r + 17. Let n(j) = -202*j**2 + 42*j - 4. Let i(x) = -4*a(x) - 18*n(x). Factor i(u).
4*(10*u - 1)**2
Let w(h) be the third derivative of h**8/23520 - h**7/8820 - h**6/630 + h**5/105 - h**4/12 + 3*h**2. Let x(z) be the second derivative of w(z). Factor x(v).
2*(v - 2)*(v - 1)*(v + 2)/7
Factor -722/5 - 2/5*c**2 + 76/5*c.
-2*(c - 19)**2/5
Let f(m) be the third derivative of m**7/490 + m**6/56 + 3*m**5/140 - 9*m**4/56 + 4*m**2. Factor f(d).
3*d*(d - 1)*(d + 3)**2/7
Suppose s - 1 = 3. Let o(t) be the third derivative of 0 - 1/15*t**5 + 1/20*t**6 - 1/12*t**s + 0*t**3 + 0*t - 3*t**2. Find z such that o(z) = 0.
-1/3, 0, 1
Let j(u) = 2*u**2 + 13*u - 4. Let m be j(-7). Let a(d) be the first derivative of 3/8*d**2 - 3 + 1/4*d**m + 0*d. Find s, given that a(s) = 0.
-1, 0
Solve 1/5*y - 2 - 1/5*y**3 + 2*y**2 = 0 for y.
-1, 1, 10
Let c = 67/2 + -33. Let f(j) be the first derivative of -2 - 1/4*j**2 - 1/6*j**3 + c*j + 1/8*j**4. Factor f(s).
(s - 1)**2*(s + 1)/2
Factor -3/2*v**2 - 1/2*v - 3/2*v**3 + 0 - 1/2*v**4.
-v*(v + 1)**3/2
Factor -3*k**2 - 7*k**3 + 8*k**3 + 10*k**4 - 6*k**4.
k**2*(k + 1)*(4*k - 3)
Let s be (3 - (-40)/(-16))/((-2)/(-2)). Determine t, given that -3/4*t - 5*t**2 + s = 0.
-2/5, 1/4
Let y(p) be the second derivative of -1/7*p**3 - 3*p - 1/42*p**4 - 2/7*p**2 + 0. Factor y(q).
-2*(q + 1)*(q + 2)/7
Let j(g) = 15*g**2 + 75*g + 65. Let l(k) = -7*k**2 - 37*k - 32. Let q(n) = -2*j(n) - 5*l(n). Let q(a) = 0. What is a?
-6, -1
Let u(c) be the second derivative of -c**10/45360 + c**9/11340 - c**8/10080 + c**4/6 - 3*c. Let q(i) be the third derivative of u(i). Factor q(t).
-2*t**3*(t - 1)**2/3
Let s(j) = 2*j - 8. Let l be s(5). Factor -g**l - 4 + 0*g + 4*g + 0*g**2.
-(g - 2)**2
Let z(o) be the first derivative of -o**4/12 - o**3/9 + o**2/3 - 7. Let z(f) = 0. Calculate f.
-2, 0, 1
Let z(t) = -t**2 - t + 1. Let g(j) = -j**4 - 3*j**3 - j**2 + j - 2. Let o be ((-1)/2)/((-3)/(-12)). Let l(c) = o*g(c) - 4*z(c). Factor l(v).
2*v*(v + 1)**3
Let p(q) = -q**2 + q. Let y(b) = -6*b**2 + 8*b - 2. Let x(t) = -20*p(t) + 4*y(t). Factor x(r).
-4*(r - 2)*(r - 1)
Let p(r) = r**3 + 4*r**2 - 6*r + 3. Let t be p(-5). Let d = t + -2. Factor 2*m**2 + 2*m**2 - d*m**3 - 26*m**4 - 15*m**5 + m**5 + 2*m**4.
-2*m**2*(m + 1)**2*(7*m - 2)
Let s(r) be the second derivative of -r**8/26880 - r**7/5040 - r**6/2880 + r**4/4 - 3*r. Let p(m) be the third derivative of s(m). Factor p(x).
-x*(x + 1)**2/4
Let k be 3/(-2)*(-8 + 6). Suppose -k*d = n - 7 - 4, -5*d = -2*n. Solve 0*r**d + 0 + 1/3*r - 1/3*r**3 = 0 for r.
-1, 0, 1
Let x(s) = -s**2 - 2*s. Let n be x(0). Let f be 0 + 0 + -1 + 8. Find l such that f*l**2 + 4*l + 3*l**2 + n*l**2 = 0.
-2/5, 0
Let r(o) = o**2 + 1. Let b(c) = -3*c**4 + 42*c**2 - 30. Let w(p) = -b(p) + 18*r(p). Determine x, given that w(x) = 0.
-2, 2
Suppose 0 = -2*d + 6*d - 12. Suppose 0 = -d*j + 15. Suppose j*o**2 - 2*o + 2*o - 6*o**2 = 0. What is o?
0
Suppose -2*u - 1296 = -1300. Find a, given that -1/4*a**u + 3/4*a - 1/2 = 0.
1, 2
Let r(s) be the second derivative of s**7/2100 - s**6/225 + s**5/60 - s**4/30 - s**3/2 - s. Let l(i) be the second derivative of r(i). Factor l(g).
2*(g - 2)*(g - 1)**2/5
Let z(x) be the first derivative of -x**4/3 + 7*x**3/9 - x**2/3 - x/3 - 6. Factor z(n).
-(n - 1)**2*(4*n + 1)/3
Let z(t) be the third derivative of 0*t**4 + t**2 - 1/90*t**6 - 1/90*t**5 + 0*t**3 - 1/315*t**7 + 0 + 0*t. Factor z(j).
-2*j**2*(j + 1)**2/3
Let m(r) = -r**2 - 5*r - 2. Let x be m(-4). Let p = 1 - -1. Find s, given that 2*s - 6/5*s**p - 2/5 + 8/5*s**4 - x*s**3 = 0.
-1, 1/4, 1
Let k(x) be the third derivative of -x**6/8 + x**5/6 - 6*x**2. Factor k(o).
-5*o**2*(3*o - 2)
Let -2*d**3 + 2/5*d**2 + 0 + 6/5*d**4 + 2/5*d = 0. What is d?
-1/3, 0, 1
Let r(d) = -d**2 + 3*d + 6. Suppose 4*f - 25 = 8*l - 3*l, 15 = -3*l + 5*f. Let v = 55 - 51. Let g(j) = -j**2 + 4*j + 7. Let o(a) = l*r(a) + v*g(a). Factor o(x).
(x - 1)*(x + 2)
Let h(b) be the second derivative of b**6/1440 - b**5/160 + b**4/48 - b**3/3 - 4*b. Let a(v) be the second derivative of h(v). What is g in a(g) = 0?
1, 2
Let q be (-6)/14 - (-21)/49. Let b(d) be the third derivative of -3*d**2 + 0*d**3 + 0*d**4 + 0*d + q + 1/60*d**5. Determine t, given that b(t) = 0.
0
Let p(u) be the second derivative of u**6/165 - 2*u**5/55 - u**4/33 + 4*u**3/11 + 9*u**2/11 + 4*u. Find j, given that p(j) = 0.
-1, 3
Let n(z) be the third derivative of -z**5/5 + 3*z**4/8 + z**3/2 - 2*z**2. Determine c, given that n(c) = 0.
-1/4, 1
Let u(a) be the first derivative of -a**5/40 + a**4/24 + a**3/3 - a**2 + 7*a - 9. Let c(o) be the first derivative of u(o). Factor c(y).
-(y - 2)*(y - 1)*(y + 2)/2
Let o be 21/52 + (-26)/169. Let b(c) be the first derivative of -1/4*c**5 + 3 + 0*c + o*c**2 - 1/8*c**4 + 5/12*c**3. Let b(n) = 0. What is n?
-1, -2/5, 0, 1
Find l such that 660*l**4 + 271*l**2 + 149*l**3 + 32*l + 252*l**5 - 31*l**2 + 467*l**3 = 0.
-1, -2/3, -2/7, 0
Let -148*q**4 - 11*q**5 - 24*q**5 - 20*q**2 + 33*q**4 - 100*q**3 = 0. Calculate q.
-2, -1, -2/7, 0
Let m be (-12)/10*5/1. Let u be ((-24)/(-20))/(m/(-15)). Solve u*f**2 - 9/4 - 33/4*f = 0 for f.
-1/4, 3
Determine c so that -3 - 3/2*c**5 + 6*c**2 + 3*c**3 - 3/2*c - 3*c**4 = 0.
-2, -1, 1
Let h = 2 + -2. Solve h*o + 0 - o**4 + 2*o**3 - 3*o - 1 - 2*o**2 + o**5 + 4*o**4 = 0.
-1, 1
Let y(n) be the first derivative of -3*n**5/5 - 3*n**4/4 + 2*n**3 + 1. Find j, given that y(j) = 0.
-2, 0, 1
Let n(m) = -m**5 - m**4 + m**3 - m + 1. Let d(h) = -3*h**5 - h**4 + 3*h**3 - 4*h**2 - 5*h + 5. Let s(i) = -d(i) + 5*n(i). Solve s(j) = 0.
-2, -1, 0, 1
Let r(h) be the third derivative of -h**7/210 + 3*h**6/40 + h**5/12 - h**4/24 + 5*h**2. Let k(x) = -9*x**3 - 6*x**2. Let t(g) = 4*k(g) + 3*r(g). Factor t(s).
-3*s*(s + 1)**3
Let y be (1 - (-13)/(-11)) + 2135/671. Factor -1/5*n**5 + 0 + 2/5*n**y + 0*n + 0*n**2 + 1/5*n**4.
-n**3*(n - 2)*(n + 1)/5
Let b(n) be the third derivative of -n**10/30240 + n**9/7560 - n**7/1260 + n**6/720 - n**4/8 - 2*n**2. Let t(l) be the sec