(w). Factor t(m).
-3*m*(15*m + 2)
Let f = -83 + 96. Suppose 5*i - f = -3. Let -2/3*j + 4/3*j**i + 0 - 2/3*j**3 = 0. What is j?
0, 1
Let x(t) be the third derivative of t**8/448 - 3*t**7/280 - t**6/160 + 11*t**5/80 - 3*t**4/8 + t**3/2 - 224*t**2. Factor x(q).
3*(q - 2)*(q - 1)**3*(q + 2)/4
Let l(o) be the first derivative of -o**6/1440 - o**5/160 - 5*o**3/3 + 7. Let i(p) be the third derivative of l(p). Let i(h) = 0. Calculate h.
-3, 0
Let s(h) be the first derivative of 28/9*h**2 - 122/27*h**3 - 10/9*h**5 - 8/9*h + 29/9*h**4 + 4/27*h**6 + 4. Suppose s(u) = 0. Calculate u.
1/4, 1, 2
Let y(j) = -4*j**3 + 4*j**2 + 2*j + 2. Let d(x) = x**3 - x**2 + x - 1. Let l(w) = 0 + 5 - 2 + w. Let p be l(-1). Let z(g) = p*d(g) + y(g). Factor z(u).
-2*u*(u - 2)*(u + 1)
Let z = 888 + -510. Find u such that -36*u**4 - 63*u + z*u**3 - 12 - 327*u**2 + 171*u - 111*u**4 = 0.
2/7, 1
Suppose -29 = 6*x - 5. Let k be 253/46*x/(-7). Factor 18/7*r**2 + 4/7 + k*r.
2*(r + 1)*(9*r + 2)/7
Solve 7*o + 20*o + 5*o**3 + 5*o + 8*o - 49*o**2 + 4*o**2 = 0 for o.
0, 1, 8
Let y be (-3 - -4)/1 + 1 + 2. Let m be 10/12*4/15. Factor -2/9*i**3 + 0*i - m*i**y + 0*i**2 + 0.
-2*i**3*(i + 1)/9
Let n(j) = j**5 - 4*j**4 - 47*j**3 + 168*j**2 + 1299*j + 1731. Let g(z) = z**4 + 2*z**3 - z**2 + z + 1. Let v(s) = -3*g(s) + n(s). Factor v(i).
(i - 8)**2*(i + 3)**3
Let p(d) be the first derivative of d**6/180 - d**5/5 + 3*d**4 - 6*d**3 - 16. Let n(b) be the third derivative of p(b). Factor n(v).
2*(v - 6)**2
Suppose -2*f + 4 = -f. Factor 9*w**f - 9*w**3 - 4*w**5 - 2*w**5 + 3*w**5 - 8*w**2 + 11*w**2.
-3*w**2*(w - 1)**3
Let o(p) be the first derivative of 1922*p**3/21 + 124*p**2/7 + 8*p/7 - 31. Factor o(k).
2*(31*k + 2)**2/7
Let d(s) = 364*s**2 + 650*s - 122. Let f(g) = -1 + 3 + 9 - 33*g**2 - 59*g. Let u(i) = -6*d(i) - 68*f(i). Determine j so that u(j) = 0.
-2, 2/15
Let a(w) = w**3 - 7*w**2 - 15*w - 19. Let p be a(9). Suppose 10 = p*z - 6. Factor 4/3*u - z + 2/3*u**2.
2*(u - 1)*(u + 3)/3
Let j = -13 + 13. Suppose 2*d + 2*d = 4*q + 212, -3*d - 2*q + 179 = j. Factor -51 + 108 + 2*x**2 + 4*x**3 - d + 2*x**4.
2*x**2*(x + 1)**2
Let j(p) be the first derivative of 2*p**3/27 + 26*p**2/9 + 50*p/9 - 205. Suppose j(g) = 0. What is g?
-25, -1
Suppose 28 = -4*s + 52. Let j(w) be the first derivative of 0*w + w**2 + 4/3*w**3 - 1/3*w**s + 0*w**4 - 8 - 4/5*w**5. Factor j(n).
-2*n*(n - 1)*(n + 1)**3
Let x(t) = -9*t**2 - 567*t + 2. Let q be x(-63). Factor -1/5 + 0*y + 1/5*y**q.
(y - 1)*(y + 1)/5
Let h be (9/((-252)/16))/(8/(-56)). Let w(f) be the first derivative of 0*f**5 + 8/15*f**3 + 0*f - 3/10*f**2 + 1/30*f**6 - 3/10*f**h + 10. Factor w(b).
b*(b - 1)**3*(b + 3)/5
Let b(i) be the second derivative of -1/2*i**3 - 11*i - 3/4*i**2 + 1/20*i**6 + 3/20*i**5 + 0*i**4 + 0. Determine q, given that b(q) = 0.
-1, 1
Let v(g) be the third derivative of g**8/504 + g**7/105 + g**6/180 - g**5/30 - g**4/18 + 25*g**2. Determine z so that v(z) = 0.
-2, -1, 0, 1
Let -69*c + 3*c**2 - 40*c + 54 + 76*c = 0. What is c?
2, 9
Suppose 5*h - 28 = -r, -5*h + 4*r + 20 = -3*h. Let z(f) = 4*f - 20. Let l be z(h). Suppose 0 + 6/7*y**l + 10/7*y**3 + 2/7*y**2 - 2/7*y = 0. What is y?
-1, 0, 1/3
Factor 35*c**3 + 76*c - 5*c**4 - 75*c**2 - 8*c - 20 - 3*c.
-5*(c - 4)*(c - 1)**3
Suppose -8 - 6*o + 61*o**2 + 55*o**2 - 3*o - 117*o**2 = 0. Calculate o.
-8, -1
Let o(s) = s**5 + s**4 + s**3 - s. Suppose -5*l = -4*q + 43, 2*l = 1 + 1. Let g(d) = -d**5 - 8*d**4 - 3*d**3 + 4*d. Let x(b) = q*o(b) + 3*g(b). Solve x(c) = 0.
0, 1/3, 1
Let h(c) = -5*c**3 + 11*c**2 - 15*c + 5. Let z be (-3 + 1)/6*-3. Let j(w) = w**2. Let d(l) = z*h(l) + 4*j(l). Factor d(g).
-5*(g - 1)**3
Suppose -4*d + 75 = -17. Suppose d = 4*c + 3. Factor y + 3*y + 2*y**3 - y**3 - c*y.
y*(y - 1)*(y + 1)
Suppose -4*l + 40 = 0, -2*l = -36*n + 38*n - 26. Determine v, given that 36/5*v**2 + 6/5 - 27/5*v - 12/5*v**n = 0.
1/2, 2
Let g be 5/15 - (-544)/(-12). Let q(n) = 17*n**2 - 10*n. Let l(k) = -375*k**2 + 220*k. Let o(s) = g*q(s) - 2*l(s). Find u, given that o(u) = 0.
0, 2/3
Let a(x) be the second derivative of -x**7/9240 - x**6/3960 + x**5/330 + x**4/66 + 8*x**3/3 - 11*x. Let y(w) be the second derivative of a(w). Factor y(b).
-(b - 2)*(b + 1)*(b + 2)/11
Let n be (14/8*(960/(-28))/(-8))/6. Solve 5*q**2 - 25/4*q + 5/2 - n*q**3 = 0 for q.
1, 2
Let n(g) = -8*g + 3. Let z(d) = -d. Let p(o) = -n(o) + 5*z(o). Let f be p(3). Determine q, given that -q**4 - f*q**4 - 8*q**3 + 2*q**4 + 18*q**3 - 5*q**2 = 0.
0, 1
Let x(z) be the third derivative of 12*z**2 + 1/30*z**5 + 0*z + 1/114*z**4 + 0*z**3 + 0 + 11/285*z**6. Find u, given that x(u) = 0.
-1/4, -2/11, 0
Let h(d) = -d**3 - 43*d**2 - 41*d + 42. Let i be h(-42). Let u(f) be the second derivative of f**3 - 1/12*f**4 - 9/2*f**2 + i + 6*f. Factor u(w).
-(w - 3)**2
Let o be 345/184 - (4 - 25/10). Let m(p) be the first derivative of 0*p**2 - o*p**6 + 3/10*p**5 + 0*p + 1/2*p**3 - 5 + 21/16*p**4. Suppose m(a) = 0. What is a?
-1, -1/3, 0, 2
Let d(y) be the first derivative of -5*y**4/2 + 15*y**3 - 25*y**2 + 15*y + 122. Suppose d(c) = 0. Calculate c.
1/2, 1, 3
Let s(c) = -c**3 - 4*c**2 + 11*c - 4. Let f be s(-6). Determine i, given that 0*i**2 + 12 + 13 + 4*i**f - 29 = 0.
-1, 1
Suppose -2*c + o - 3 = 0, 0*c - 4*o = c + 6. Let k be (-5)/5*c*1. Factor z**3 + 2*z**3 - 8*z**2 + 5*z**k - 6*z.
3*z*(z - 2)*(z + 1)
Let s(o) be the first derivative of -1/4*o**4 + 1/15*o**5 - 26 + 1/2*o**2 + 1/9*o**3 - 2/3*o. Determine v so that s(v) = 0.
-1, 1, 2
Factor 152*a + 78 - 4*a**2 - 724 - 798.
-4*(a - 19)**2
Let j(o) be the second derivative of -o**7/84 + o**6/45 + 11*o**5/60 + o**4/6 + o**3/6 - 11*o**2 - 39*o. Let d(c) be the second derivative of j(c). Factor d(n).
-2*(n - 2)*(n + 1)*(5*n + 1)
Let z(f) = -2*f**2 - 11*f - 9. Let i(u) = u**2 - 4*u. Let c be i(2). Let m be z(c). Factor 0 - 3/4*q**2 + q**m - 1/4*q.
q*(q - 1)*(4*q + 1)/4
Let k(h) = 168*h**5 - 30*h**4 - 106*h**3 - 38*h**2 + 6*h. Let z(y) = -y**5 + 2*y**4 - y**3 + y**2 - y. Let j(r) = -k(r) - 6*z(r). Factor j(o).
-2*o**2*(o - 1)*(9*o + 4)**2
Let i(n) = -n**2 + 10*n + 14. Let x be i(8). Factor 4*a**4 + 3*a**4 - 20 - 5*a**3 + x + 5*a - 2*a**4 - 15*a**2.
5*(a - 2)*(a - 1)*(a + 1)**2
Suppose 321 = -5*i + 2*t, 214 = -2*i + 2*t + 88. Let z = -322/5 - i. Factor 0*r - 3/5*r**2 + z.
-3*(r - 1)*(r + 1)/5
Let c(m) be the third derivative of m**7/70 + m**6/20 - 7*m**5/20 - 5*m**4/2 - 6*m**3 - 3*m**2 - 93*m. Solve c(t) = 0.
-2, -1, 3
Let u(c) be the second derivative of -c**4/3 + 6*c**3 - 40*c**2 + c - 201. Suppose u(l) = 0. Calculate l.
4, 5
Find b such that 4/5*b**3 + 14/5*b**2 - 8/5*b + 0 = 0.
-4, 0, 1/2
Let p(o) = -o**2 - 4*o + 5. Let i(n) = 2*n**2 + 9*n - 11. Let d be (-4)/(-18) - 190/45. Suppose -3*f = -0*f + 27. Let s(x) = d*i(x) + f*p(x). Factor s(k).
(k - 1)*(k + 1)
Let h(m) = -8*m**5 - 103*m**4 - 435*m**3 - 704*m**2 - 253*m + 3. Let w(u) = -u**4 - u**3 + u + 1. Let y(i) = h(i) - 3*w(i). Factor y(z).
-4*z*(z + 4)**3*(2*z + 1)
Let w = -195488/5865 - 4/1955. Let g = -33 - w. Factor 0 + 1/6*r**4 - 1/6*r**2 + g*r**3 - 1/3*r.
r*(r - 1)*(r + 1)*(r + 2)/6
Let g(y) = -y**2 + 20*y - 24. Let b(m) = -2*m**2 + 41*m - 46. Let s(z) = 3*b(z) - 7*g(z). Solve s(n) = 0.
2, 15
Suppose 4*v - 5*n - 198 = 0, 5*v - 221 = -3*n + 45. Factor -48*w - v*w**2 - 16 - 7*w**3 - 4*w**3 - 4*w**4 - 12*w**3 - w**3.
-4*(w + 1)**2*(w + 2)**2
Suppose -4*s + 3*s - 19 = -2*i, -2*i = 3*s + 41. Let q be 12/9 + 5/s - -1. Factor -3/4 - v - 1/4*v**q.
-(v + 1)*(v + 3)/4
Let z(x) be the second derivative of 0 + 2/15*x**2 + 1/10*x**4 + 1/225*x**6 - 5*x + 1/30*x**5 + 7/45*x**3. Factor z(g).
2*(g + 1)**3*(g + 2)/15
Factor -3/4*n**2 + 135/4*n + 0.
-3*n*(n - 45)/4
Factor 88/17 - 16/17*b**2 + 2/17*b**3 - 74/17*b.
2*(b - 11)*(b - 1)*(b + 4)/17
Let j(l) be the first derivative of -3*l**4 + 6*l**2 + 2*l**3 - 9*l + 3/5*l**5 + 5. Determine g so that j(g) = 0.
-1, 1, 3
Let h(p) be the third derivative of -p**5/70 - p**4/21 - p**3/21 - 162*p**2. Let h(g) = 0. Calculate g.
-1, -1/3
Let h(w) = 4*w + 10. Let t be h(-2). Let y(z) be the third derivative of 0 - 2*z**t + 0*z**6 - 1/6*z**3 + 0*z**4 - 1/210*z**7 + 0*z + 1/30*z**5. Solve y(x) = 0.
-1, 1
Let y(f) be the third derivative of f**6/144 + f**5/6 - f**2 - 29*f. Determine t so that y(t) = 0.
-12, 0
Let n(x) be the second derivative of 1/27*x