+ 0*w**5 + 0*w**6 - f*w**2 + 0*w**3 + 0*w + 0*w**4 + 0. Factor v(o).
3*o**4*(o + 1)
Suppose -22*j - 4 = -17*j - q, -5*j - 5*q + 20 = 0. Determine m, given that 0*m - 2/7*m**3 + 2/7*m**2 + j = 0.
0, 1
Suppose 4*f - 62*h - 19 = -63*h, -35 = -5*h. Factor 0*u**2 + 1/2*u**4 + 0*u + 0 + 0*u**f.
u**4/2
Let g(l) be the second derivative of 4*l**7/105 + 17*l**6/75 - 22*l**5/25 - 2*l**4/5 + 18*l - 2. Find j, given that g(j) = 0.
-6, -1/4, 0, 2
Let b be -4 - (-3 - 123/(-42))/((-19)/(-1140)). Factor -b*t + t**2 - 9/7*t**3 - 1/7*t**5 + 0 + 5/7*t**4.
-t*(t - 2)*(t - 1)**3/7
Let i(n) = 7*n**5 - 13*n**4 + 24*n**3 - 16*n**2 + n. Let w(q) = -76*q**5 + 144*q**4 - 264*q**3 + 176*q**2 - 12*q. Let c(a) = -32*i(a) - 3*w(a). Factor c(y).
4*y*(y - 1)**4
Let f(a) = a**2 + 3*a - 6. Let g be f(-5). Suppose 10 = g*h + 6. Let 0 - 24*b**2 + 0*b**2 - 2*b - 7*b - h - 16*b**3 = 0. Calculate b.
-1, -1/4
Suppose -7 = -4*b + 5. Suppose u = 5*s + 22, -u - b*u - 5*s - 12 = 0. Factor -5*j**2 + 3 - 7 - 14*j - 3*j**2 + 2*j**u.
-2*(j + 2)*(3*j + 1)
Let f(d) be the first derivative of 0*d**2 - 7/8*d**4 - 37 + 0*d**5 + 1/12*d**6 - d**3 + 0*d. Find i such that f(i) = 0.
-2, -1, 0, 3
Let x(n) = -29*n + 60. Let o be x(2). Let t(h) = h**2 - 1. Let p(d) = -20*d + 1 - 16*d**2 - 1 - 4. Let a(q) = o*t(q) + p(q). Suppose a(r) = 0. Calculate r.
-1, -3/7
Let l(p) = -4*p**2 + 18*p + 2*p**2 + 3 - 19*p. Let g be l(1). Find x, given that 1/4*x**2 + g*x - 1/4 = 0.
-1, 1
Let u(a) = -5*a**4 - 35*a**3 - 25*a**2 + 80*a + 45. Let b(z) = -z**4 - z**2 + z + 1. Let g(t) = -15*b(t) + u(t). What is p in g(p) = 0?
-1, -1/2, 2, 3
Let i(m) be the second derivative of -5*m**7/42 + 10*m**6/3 - 129*m**5/4 + 665*m**4/6 + 80*m**3/3 - 960*m**2 + 7*m - 13. Determine h so that i(h) = 0.
-1, 2, 3, 8
Let r(m) be the second derivative of m**4/48 + 7*m**3/8 - 404*m. Factor r(g).
g*(g + 21)/4
Let w = 4/1611 + 3170/20943. Factor -14/13*j + 24/13 + w*j**2.
2*(j - 4)*(j - 3)/13
Let g(n) be the first derivative of 3/8*n + 1/32*n**4 - 26 + 5/24*n**3 + 7/16*n**2. Solve g(z) = 0.
-3, -1
Let m(l) = -2*l**2 + 20*l - 2. Let i be m(10). Let r be (135/(-33) + 4)*i. Factor 4/11 - r*n - 2/11*n**2.
-2*(n - 1)*(n + 2)/11
Let s(t) = t**2 + 3*t + 7. Let g be s(0). Suppose 3 + 11 = g*b. Solve 0*k**4 + 0 + 2/3*k**5 - 2/3*k**3 + 0*k**b + 0*k = 0.
-1, 0, 1
Let t = 12148/7821 - -2/869. Factor -t*x**2 - 8/3*x + 8/9.
-2*(x + 2)*(7*x - 2)/9
Let -66/5*w**4 + 1029/5*w + 0 + 504/5*w**3 + 3/5*w**5 - 294*w**2 = 0. Calculate w.
0, 1, 7
Determine n so that 80/3*n - 60 + 5/3*n**2 = 0.
-18, 2
Let u(r) be the second derivative of -r**3/6 + r**2 + 5*r. Let p be u(0). Factor 4*z**2 - 4 + 3 - p*z**4 - 1.
-2*(z - 1)**2*(z + 1)**2
Let k(p) be the second derivative of p**4/48 - 2*p**3 + 23*p**2/2 - 237*p. Let k(y) = 0. What is y?
2, 46
Let w(o) be the third derivative of 14*o**5/5 + 43*o**4/6 + 2*o**3/3 - 119*o**2. What is v in w(v) = 0?
-1, -1/42
Let g(p) be the first derivative of -50/17*p - 35/17*p**2 - 22/51*p**3 - 1/34*p**4 - 9. Factor g(c).
-2*(c + 1)*(c + 5)**2/17
Let v(i) be the second derivative of 17*i**7/1400 - 7*i**6/300 - i**5/50 - 4*i**4 - 41*i. Let k(s) be the third derivative of v(s). Suppose k(f) = 0. What is f?
-2/17, 2/3
Let l(w) be the second derivative of w**9/1008 + 5*w**8/1344 + w**7/252 - w**4/6 + 2*w**2 + 2*w + 1. Let d(q) be the third derivative of l(q). Factor d(k).
5*k**2*(k + 1)*(3*k + 2)
Let d(r) be the third derivative of r**5/12 - 5*r**4/12 - 25*r**3/2 + 354*r**2 + 2. Solve d(q) = 0 for q.
-3, 5
Let l(c) be the first derivative of -2*c**5/5 - 7*c**4/4 - 3*c**3 - 5*c**2/2 - c - 40. What is j in l(j) = 0?
-1, -1/2
Suppose 2*q = 6*q + 180. Let f be (1/3)/((-5)/q). Let 3*g**f + 10 - 4*g + g - 6*g**2 - 4 = 0. Calculate g.
-1, 1, 2
Let y(c) be the second derivative of c**6/30 - c**4/6 + 4*c**2 - 20*c. Let v(h) be the first derivative of y(h). Find q such that v(q) = 0.
-1, 0, 1
Let r = -23 + 42. Let u = r - 15. Suppose -t**2 - t**4 - 3*t**3 - 3*t**4 - t**2 + 3*t**u = 0. Calculate t.
-2, -1, 0
Find y, given that 0*y - 6/7*y**3 - 8/7*y**2 + 0 + 2/7*y**4 = 0.
-1, 0, 4
Factor -2/7*l**2 + 18/7 - 16/7*l.
-2*(l - 1)*(l + 9)/7
Let q(w) be the first derivative of w**4 - 40*w**3/3 - 43*w**2/2 - 11*w - 220. Factor q(n).
(n - 11)*(2*n + 1)**2
Let i(t) = -t**4 - 2*t**3 + 3*t**2 - t - 1. Suppose 0*c + 3*c = -12. Let g(l) = -l**5 - l**4 + l**3 + l**2 - l - 1. Let y(x) = c*g(x) + 4*i(x). Factor y(o).
4*o**2*(o - 1)**2*(o + 2)
Factor c**3 + 48*c**2 - 35820 - 2*c + 35772 + c**3.
2*(c - 1)*(c + 1)*(c + 24)
Let f(h) = -2*h - 19. Let r be f(-10). Let c be 144/120*(r - 2/3). Solve -c*u**2 + 0 + 2/5*u = 0.
0, 1
Let q(b) be the first derivative of b**6/6 - 3*b**5 + 10*b**4 + 60*b**3 - 160*b**2 - 768*b - 466. Factor q(v).
(v - 8)**2*(v - 3)*(v + 2)**2
Suppose 36*t**2 + 2*t**3 - 39*t**2 + 3*t + 3*t**4 - 5*t**3 = 0. Calculate t.
-1, 0, 1
Suppose 5*f + 4 + 17 = 3*z, 0 = 4*z - 4*f - 20. Factor -4*h**2 - 5*h + 6*h**z + 8 - 5*h.
2*(h - 4)*(h - 1)
Let h = -5 + 5. Suppose -2*j + 4 = -h. Factor 8*g**2 - 6*g**2 + 3*g**5 + 4*g**j + 12*g**4 + 15*g**3.
3*g**2*(g + 1)**2*(g + 2)
Solve 0 - 2/7*v**4 + 8/7*v**2 + 0*v - 8/7*v**3 + 2/7*v**5 = 0 for v.
-2, 0, 1, 2
Let k(i) = 34*i**2 - 31*i + 32. Let f(v) = -29*v**2 + 30*v - 31. Let s(r) = -7*f(r) - 6*k(r). Factor s(w).
-(w - 1)*(w + 25)
Suppose 5*x - 63 = 52. Let f = -17 + x. Suppose f*a**3 + 1/4 - 3/2*a + 4*a**4 + 1/4*a**2 = 0. Calculate a.
-1, 1/4
Let b(a) be the second derivative of -a**10/90720 + a**9/22680 - a**7/3780 + a**6/2160 + a**4/6 - 2*a. Let t(q) be the third derivative of b(q). Factor t(c).
-c*(c - 1)**3*(c + 1)/3
Let b = -28139/30 + 938. Let f(c) be the third derivative of 0*c + 1/84*c**8 + 0*c**3 + 0*c**5 + 0 + b*c**6 + 0*c**4 + 6*c**2 - 4/105*c**7. Factor f(r).
4*r**3*(r - 1)**2
Let r(m) be the third derivative of m**6/270 + 2*m**5/135 - 7*m**4/54 + 8*m**3/27 - 5*m**2 + 20*m. Factor r(c).
4*(c - 1)**2*(c + 4)/9
Let k(z) be the third derivative of z**6/60 + z**5/2 + 7*z**4/6 - 254*z**2. Suppose k(d) = 0. What is d?
-14, -1, 0
Suppose -168 + 57 = -37*q. Factor 2/9 - 1/9*a**4 - 1/3*a + 1/3*a**q - 1/9*a**2.
-(a - 2)*(a - 1)**2*(a + 1)/9
Let j(h) be the first derivative of h**5 - 15*h**4/2 - 35*h**3/3 - 22. Solve j(l) = 0.
-1, 0, 7
Let z(w) = 28*w - 54. Let j be z(2). Let r(s) be the first derivative of 8/11*s + 19/22*s**4 - 8/11*s**j + 25/33*s**6 + 2*s**5 - 46/33*s**3 + 4. Factor r(o).
2*(o + 1)**3*(5*o - 2)**2/11
Solve 21*m + 105/4*m**2 - 45/4 - 6*m**3 = 0 for m.
-1, 3/8, 5
Suppose 13*b + 6 = 16*b. Suppose -b*n - 1 + 5 = 0. Let l - 6*l**2 + 4*l**2 - l**3 + n*l = 0. Calculate l.
-3, 0, 1
Let l(y) be the second derivative of -6*y**5/5 + 25*y**4/4 + 29*y**3/2 - 6*y**2 + 7*y. Factor l(f).
-3*(f - 4)*(f + 1)*(8*f - 1)
Suppose 2*g + 2 - 6 = 0. Let k be (-1 - g)/(-1) - -7. Factor -15*v + 5*v**3 - 89*v**2 + 89*v**2 - k.
5*(v - 2)*(v + 1)**2
Let x be 184/(-1196) + (-28)/(-13). Let s(k) be the third derivative of -4*k**2 - 1/2*k**4 + 1/20*k**5 + 1/40*k**6 + 0*k - x*k**3 + 0. Solve s(y) = 0 for y.
-2, -1, 2
Suppose 19*k + n = 17*k, 0 = -4*k - 5*n - 18. Factor -5/3 - 20/3*z - 5/3*z**4 - 10*z**2 - 20/3*z**k.
-5*(z + 1)**4/3
Factor 0 - 12/5*d**4 + 0*d - 3/5*d**5 - 6/5*d**2 - 3*d**3.
-3*d**2*(d + 1)**2*(d + 2)/5
Let a be 3/(-2)*20/(-15). Factor 42*h**a + 6*h**3 - 45*h**2 + 2*h - 5*h**3.
h*(h - 2)*(h - 1)
Let x = -1 - -3. Solve 343 - 3*j**2 + 5*j**x - 8*j - 353 = 0.
-1, 5
Let g = 458/221 + -43/13. Let a = g - -164/119. Factor 5/7 - 4/7*w - a*w**2.
-(w - 1)*(w + 5)/7
Let h be ((-12)/(-16))/(1/4). Let c(o) be the third derivative of 0*o + 0*o**4 + 0 - 1/60*o**5 + 0*o**h - 5*o**2. Factor c(j).
-j**2
Let w(a) = -1 - 2 - 4 - a + 5. Let t be w(-2). Factor 4*h + 5*h**2 - 3*h**2 - h**2 + t*h + 4.
(h + 2)**2
Factor -45*m**2 + 4*m - 41*m**2 + 3 + 87*m**2.
(m + 1)*(m + 3)
Factor 3/7*n**3 - 189 + 123/7*n**2 + 171*n.
3*(n - 1)*(n + 21)**2/7
Let p(y) = -y - 4. Let o(m) = -2*m - 7. Let l(h) = 3*o(h) - 5*p(h). Let v be l(-5). Factor 2*d**2 - d**v - 2 - 5*d**3 + 2*d**2 - 10*d - 13*d**2 + 3*d.
-(d + 1)**3*(d + 2)
Let j(b) = -b**2 - b - 1. Let n(s) = -s**3 - 17*s**2 - 45*s - 51. Let h(l) = -6*j(l) + n(l). Factor h(o).
-(o + 3)**2*(o + 5)
Let b = -18428 + 55286/3. Factor -b*u + 1/6*u**2 - 5/6.
(u - 5)*(u + 1)/6
Suppose -2*y + 5*s = -54, 6 = 5*s - 4. Facto