 + 1/7*k**4 - 2/35*k**5 - 5. Factor j(f).
-2*f**2*(f - 1)**2/7
Let b = 97 - 100. Let w be b/(-18) - 2/(-12). Let 1/3*o + 1/3*o**2 - 1/3 - w*o**3 = 0. Calculate o.
-1, 1
Determine u so that 0*u**3 - 15/4*u**4 + 9/8*u - 9/8*u**5 + 0 + 15/4*u**2 = 0.
-3, -1, -1/3, 0, 1
Suppose 3*u + 7 = 31. Suppose -2*v + 70 = 2*m, -6*v - m = -4*v - 72. Factor -a**2 - a**2 + 45 + 4*a**2 + u*a - v.
2*(a + 2)**2
Let v(d) = d**3 + 1. Suppose 7*z - 4*z = 3. Let u(x) = -2*x + 2 + z + 4*x + x. Let a(y) = -u(y) + 3*v(y). Factor a(i).
3*i*(i - 1)*(i + 1)
Let t(f) = f**2 + 15*f + 46. Let j be t(-4). Factor 1/2*c + 0 - 5/4*c**j - 1/4*c**4 + c**3.
-c*(c - 2)*(c - 1)**2/4
Let m(v) be the third derivative of v**8/1512 - 7*v**6/540 - v**5/45 - 4*v**2 + 8*v. Let m(w) = 0. Calculate w.
-2, -1, 0, 3
Let k(a) be the third derivative of -2*a**2 + 0*a - 19 - 14/3*a**3 + 1/30*a**5 - 13/12*a**4. Factor k(b).
2*(b - 14)*(b + 1)
Let l(o) be the third derivative of o**5/330 - 59*o**4/132 + 58*o**3/33 - 31*o**2. Solve l(v) = 0.
1, 58
Suppose 13*k - 41*k = -56. Let -u + 1/2*u**k - 3/2 = 0. Calculate u.
-1, 3
Suppose 0 = 6*u - 2*u - 36. Suppose 4*t + 5*a = -29 + u, 16 = -4*a. Determine k, given that 2/7*k**4 + 8/7*k**5 + t*k + 0 - 2/7*k**2 - 8/7*k**3 = 0.
-1, -1/4, 0, 1
Factor 3*u**3 + 0 + 6/7*u + 1/7*u**5 - 19/7*u**2 - 9/7*u**4.
u*(u - 6)*(u - 1)**3/7
Find j, given that 171/5*j + 0 + 3/5*j**2 = 0.
-57, 0
Let s(d) be the first derivative of -374*d**2 + 11 + 366*d**2 + 50*d**5 + 40*d**3 - 15 - 23 - 75*d**4. Factor s(g).
2*g*(5*g - 2)**3
Let a(u) be the second derivative of -u**8/672 + u**7/105 - u**6/40 + u**5/30 - u**4/48 - 5*u**2/2 + 3*u. Let j(x) be the first derivative of a(x). Factor j(g).
-g*(g - 1)**4/2
Let w(l) be the second derivative of -l**6/270 + l**5/36 - 7*l**4/108 + l**3/18 - 47*l. Find a such that w(a) = 0.
0, 1, 3
Let z(u) = u**3 + u**2. Let f(y) = -12*y**3 - 12*y**2. Let h(k) = k**3 - 2*k + 6. Let a be h(3). Let w(q) = a*z(q) + 2*f(q). Factor w(g).
3*g**2*(g + 1)
Let z(o) be the first derivative of o**8/840 - o**7/210 + o**6/180 + 2*o**3/3 + 9. Let l(w) be the third derivative of z(w). Solve l(q) = 0 for q.
0, 1
Let v = 32 - 28. Determine w, given that -4*w**4 + 4*w**2 + 14*w**5 + v*w**3 - 35*w**5 + 17*w**5 = 0.
-1, 0, 1
Let 5*l**2 + 663*l - 61*l - 82946 + 83186 = 0. What is l?
-120, -2/5
Let w(v) = v**2 - 21*v + 19. Let m be w(21). Let a(s) = -s + 21. Let k be a(m). Determine y, given that 0 + 3/5*y - 3/5*y**k = 0.
0, 1
Let p be 4*(-4)/(-560)*14. Factor 0*h**2 + 0 + p*h**3 + 0*h.
2*h**3/5
Let m(u) be the second derivative of u**4/144 + u**3 + 54*u**2 + 4*u - 61. Let m(d) = 0. Calculate d.
-36
Find c such that 8/5*c**3 + 6/5*c - 2/5*c**5 + 17/5*c**2 - c**4 + 0 = 0.
-3, -1, -1/2, 0, 2
Let h(z) = 20*z**4 - 122*z**3 + 309*z**2 - 251*z + 71. Let t(v) = -5*v**4 + 31*v**3 - 77*v**2 + 63*v - 18. Let q(w) = -2*h(w) - 9*t(w). Factor q(p).
5*(p - 4)*(p - 1)**3
Let o(t) be the second derivative of -1/18*t**4 + 0*t**2 - 1/15*t**5 + 0 + 10*t - 1/45*t**6 + 0*t**3. Let o(c) = 0. What is c?
-1, 0
Let v(b) be the first derivative of b**4/6 + 11*b**3/9 - 7*b**2/6 - 2*b + 84. Factor v(y).
(y - 1)*(y + 6)*(2*y + 1)/3
Let m(i) be the second derivative of i**4/66 + 8*i**3/33 + 16*i**2/11 + i - 9. Factor m(w).
2*(w + 4)**2/11
Let -1/4*m**2 + 3/4*m + 1 = 0. Calculate m.
-1, 4
Let w(r) be the first derivative of 3*r**5/25 + 3*r**4/2 + 5*r**3 - 47. Factor w(u).
3*u**2*(u + 5)**2/5
Suppose 0 + 40*q - 20*q**4 + 20*q**2 - 75/2*q**3 - 5/2*q**5 = 0. What is q?
-4, -1, 0, 1
Let o(d) = d**5 + d**4 - 2*d**3 + 3*d**2 - d + 1. Let s(p) = p**5 - 214*p**4 + 3273*p**3 - 22512*p**2 + 62644*p - 43204. Let j(n) = -4*o(n) - s(n). Factor j(t).
-5*(t - 12)**3*(t - 5)*(t - 1)
Let p(r) = -2*r - 40. Let l be p(-32). Suppose 0*b = -2*b + 5*f - 2, -5*b - 2*f + l = 0. Solve -28/3*s**3 + 4/3 - 49/3*s**b + 28/3*s + 15*s**2 = 0.
-1, -2/7, 1
Let g = -192 + 190. Let t be g/(-6)*14/7. Factor -t*q + 8/9 - 2/9*q**2.
-2*(q - 1)*(q + 4)/9
Let t = 1118 - 11179/10. Let a(z) be the first derivative of -5 + 0*z - t*z**5 + 0*z**2 + 1/8*z**4 - 1/12*z**6 + 1/6*z**3. Let a(q) = 0. Calculate q.
-1, 0, 1
Factor 1/4*h**2 + 5/2*h + 9/4.
(h + 1)*(h + 9)/4
Let a(u) be the first derivative of -u**6/1440 + u**5/480 - 13*u**3/3 + 2. Let i(r) be the third derivative of a(r). Factor i(j).
-j*(j - 1)/4
Let j(r) be the second derivative of r**9/1008 + 3*r**8/560 + 3*r**3 + 17*r. Let v(l) be the second derivative of j(l). Factor v(y).
3*y**4*(y + 3)
Let u(i) = i**3 + 7*i**2 - 7*i - 7. Let j(m) be the first derivative of -m**4 - 12*m**3 + 18*m**2 + 36*m - 2. Let d(r) = 3*j(r) + 16*u(r). Factor d(v).
4*(v - 1)*(v + 1)**2
Let o(m) be the first derivative of 1/2*m**2 + 1/2*m + 1/6*m**3 - 24. Factor o(v).
(v + 1)**2/2
Factor -1/11*q**2 - 12544/11 - 224/11*q.
-(q + 112)**2/11
Let h(r) be the first derivative of -2*r**5/15 - r**4/3 + 8*r**3/3 + 8*r**2/3 - 64*r/3 - 256. Solve h(g) = 0 for g.
-4, -2, 2
Let p(o) be the second derivative of -o**6/75 - 3*o**5/10 + 17*o**4/30 + o**3 - 16*o**2/5 + 37*o. Solve p(v) = 0.
-16, -1, 1
Let i(t) = t**3 + 8*t**2 + 8*t + 8. Let q be i(-7). Suppose -2*a + 14 = -4*m, m = -2*a - 2*m. Factor -a*p - p + q + 2*p**4 + 4*p**3 - 3.
2*(p - 1)*(p + 1)**3
Let m = -1942/65 - -391/13. Factor 1/5*t - 1/5*t**3 + 0 - 1/5*t**4 + m*t**2.
-t*(t - 1)*(t + 1)**2/5
Let u(z) be the first derivative of 0*z - 2/3*z**3 - 2*z**2 + 34 + 1/2*z**4. Factor u(p).
2*p*(p - 2)*(p + 1)
Solve -152*c - 39*c**2 - 279*c + 256 + 328*c**2 - 113*c = 0.
16/17
Let k(n) be the third derivative of n**5/105 + n**4/7 + 6*n**3/7 + 24*n**2. Factor k(f).
4*(f + 3)**2/7
Let z be (-26)/(-12) - 55/330. Let i(a) be the first derivative of -4*a - 1/3*a**3 + 2*a**z + 6. Factor i(s).
-(s - 2)**2
Suppose 46 = 565*t + 551*t - 1093*t. Solve 0*l**3 + 0 - 1/2*l**t - 1/4*l**5 + 1/4*l + 1/2*l**4 = 0 for l.
-1, 0, 1
Let u(t) be the third derivative of 36*t**2 + 0 - 2/15*t**5 - 1/6*t**4 - 2/15*t**3 + 0*t - 1/420*t**8 - 1/15*t**6 - 2/105*t**7. Factor u(z).
-4*(z + 1)**5/5
Let i(t) be the second derivative of 0*t**2 + 0 - 1/50*t**5 - 1/15*t**3 + 12*t - 1/15*t**4. Factor i(u).
-2*u*(u + 1)**2/5
Let d(y) = -18*y**5 + 8*y**4 + 18*y**3 - 18*y**2 + 10*y + 10. Let n(c) = c**5 - c**3 - c**2 + c + 1. Let l(o) = -d(o) + 10*n(o). Let l(s) = 0. What is s?
-1, 0, 2/7, 1
Suppose 14*h + 19 - 5 = 0. Let o be (5 - (-10)/(-2))/h. Determine d so that -1/6*d**5 + o*d**2 + 1/6*d**4 + 1/3*d**3 + 0*d + 0 = 0.
-1, 0, 2
Let a be (6/(-15))/(52/(-390)). Let d(k) be the first derivative of -1/3*k**3 + 0*k**2 + 0*k - a. Factor d(j).
-j**2
Let p(b) = 233*b + 2102. Let o be p(-9). Factor 1/3*d**4 + 1/3*d**3 + 0*d - 1/3*d**o - 1/3*d**2 + 0.
-d**2*(d - 1)**2*(d + 1)/3
Suppose -2 = -0*g + g - 4*l, 4*l - 4 = 0. Factor -163*c**3 - c**2 + 164*c**3 - 2*c + 0*c**g.
c*(c - 2)*(c + 1)
Let z = 1/7 + -1/21. Let o(h) be the first derivative of 4 + z*h**3 + 0*h**2 - 2/7*h. Factor o(r).
2*(r - 1)*(r + 1)/7
Suppose 24*t**2 + 180 - 4/3*t**4 - 144*t + 16/3*t**3 = 0. What is t?
-5, 3
Let s(v) be the third derivative of -v**5/90 - v**4/18 + 67*v**2. Factor s(h).
-2*h*(h + 2)/3
Let f(i) be the second derivative of i**5/270 + i**4/54 - i**2 + 5*i. Let h(u) be the first derivative of f(u). Find c, given that h(c) = 0.
-2, 0
Let l(m) = -5*m - 7. Let n be l(-3). Factor -55*v**2 + n + 4*v - 50*v**2 + 93*v**2.
-4*(v - 1)*(3*v + 2)
Factor -8*k**2 + 3*k**3 + 75 + 33*k + 12*k - 19*k**2.
3*(k - 5)**2*(k + 1)
Let v(b) be the third derivative of -b**6/180 + 13*b**5/90 - b**4/3 - 17*b**2 + b. Solve v(z) = 0 for z.
0, 1, 12
Let r(a) = -a**2 - 3*a + 3. Let i be r(-3). Let k be (-4)/(-14) + 72/42. Solve -23*s**k + 14*s**2 - s - 7*s**i - 5*s**3 + 4*s = 0 for s.
-1, 0, 1/4
Let q(o) be the third derivative of 0 + 0*o + 1/6*o**4 - 1/30*o**5 + 0*o**3 - 34*o**2. Solve q(b) = 0.
0, 2
Let t(s) = -36*s + 6. Let j be t(-3). Let n be (-6)/33 + j/22. Let -1/5*h**n + 0 + 1/5*h**4 - 1/5*h**2 + 1/5*h**3 + 0*h = 0. What is h?
-1, 0, 1
Suppose 10*a - 16*a = 14*a. Factor -4/11*o**3 - 18/11*o**2 + 10/11*o + a.
-2*o*(o + 5)*(2*o - 1)/11
Let z(i) be the third derivative of 0 + 11/150*i**5 + 0*i**3 + 0*i + 1/30*i**4 + 3/100*i**6 + 24*i**2. Determine y so that z(y) = 0.
-1, -2/9, 0
Let u = -87 - -89. Solve 1181*a**u + 16*a - 1180*a**2 + 54 + 10 = 0.
-8
Let o(q) = 3*q + 1. Let l b