+ 5*n**2 - 3*n - 2. Let v be y(d). Factor -4*b**5 - b + 8*b**3 - v*b**2 - 3*b + 2*b**2.
-4*b*(b - 1)**2*(b + 1)**2
Suppose -4*c - 4*r = c - 1, -9 = -5*c + 4*r. Let x(b) = b + 1. Let d(s) = -15*s**3 + 40*s**2 - 60*s - 15. Let u(a) = c*d(a) + 25*x(a). Factor u(j).
-5*(j - 1)**2*(3*j - 2)
Let l(k) be the first derivative of -k**3/2 + 315*k**2/4 + 159*k - 361. Let l(g) = 0. What is g?
-1, 106
Let k be -1 - 4/(-6) - (-40)/12. Let q be -3 - 15/(0 - k). Factor 1/2*j**q + 0*j + 0 - 1/4*j**3.
-j**2*(j - 2)/4
Let x = 54 - 60. Let m be (-2046)/(-198) - (1/x - 0). Determine u, given that -3*u**4 + 0*u + 0 + m*u**5 + 3*u**2 - 21/2*u**3 = 0.
-1, 0, 2/7, 1
Let c = -127393/15 - -8493. Factor 0 - 2/15*w**4 + 2/15*w + 2/15*w**2 - c*w**3.
-2*w*(w - 1)*(w + 1)**2/15
What is h in -2/5*h**5 + 14/5*h**3 - 16/5 - 24/5*h + 0*h**4 + 4/5*h**2 = 0?
-2, -1, 2
What is c in 14/3*c - 166/9*c**3 + 62/3*c**4 - 2*c**2 - 4*c**5 - 8/9 = 0?
-1/2, 1/3, 1, 4
Let g(h) = h**3 + 13*h**2 + 9*h - 16. Let n be g(-12). Suppose 0*x - 5*x + n = 0. Suppose -12/5*l**x + 21/5*l**3 - 21/5*l + 18/5*l**2 - 6/5 = 0. What is l?
-1, -1/4, 1, 2
Suppose 3*f - k = 5, 10*f - 11*f - 2*k = -4. Factor 10/13*d**f + 0 + 6/13*d.
2*d*(5*d + 3)/13
Suppose 3*y - 32 = 4*p, 4*y + p - 20 = 48. Suppose -y - 29*t**2 - 60*t + 68*t**2 - 23*t**2 = 0. What is t?
-1/4, 4
Let d(g) be the second derivative of 3*g**5/20 - 3*g**4/4 + 6*g**2 - 38*g. What is x in d(x) = 0?
-1, 2
Suppose 6*j - 7*j = o - 13, 3*j = 2*o - 6. Let c(k) be the first derivative of 3/7*k**2 - o + 8/7*k - 2/21*k**3. Factor c(u).
-2*(u - 4)*(u + 1)/7
Let l(b) be the first derivative of 0*b - 20/9*b**3 - 25/12*b**4 - 2/3*b**2 - 12. Let l(r) = 0. Calculate r.
-2/5, 0
Suppose 8*z - 15 = 9. Factor -2*u + 50*u**2 - 62*u**2 + 9*u**z + 5*u.
3*u*(u - 1)*(3*u - 1)
Let b(y) be the second derivative of 2 + 1/20*y**4 - 19*y + 0*y**3 + 0*y**2 + 3/100*y**5. Determine g so that b(g) = 0.
-1, 0
Let i(q) = 5*q**4 - 6*q**3 + 6*q**2 + 6*q + 11. Let c(b) = 0*b**2 - b**4 + 3 - b + b**3 - 5 - b**2. Let f(a) = 22*c(a) + 4*i(a). Let f(p) = 0. Calculate p.
-1, 0, 1
Let j(h) be the second derivative of -h**7/25200 + h**6/7200 + 5*h**4/6 + 18*h. Let p(i) be the third derivative of j(i). Determine l, given that p(l) = 0.
0, 1
Let t(z) be the first derivative of -4*z**5/5 + 2*z**4 + 4*z**3 - 8*z**2 - 16*z - 36. Factor t(i).
-4*(i - 2)**2*(i + 1)**2
Factor 17*z - 505 - 71 - z**2 + 18*z + 4*z + 9*z.
-(z - 24)**2
Let r(l) be the second derivative of 0*l**4 - 1/80*l**5 - 14*l + 0*l**6 + 0 + 0*l**2 + 0*l**3 + 1/168*l**7. What is p in r(p) = 0?
-1, 0, 1
Let t(s) be the second derivative of -12*s - 3/2*s**2 + 1/10*s**5 + 1/90*s**6 - 1/3*s**3 + 2/9*s**4 + 0. Factor t(f).
(f - 1)*(f + 1)*(f + 3)**2/3
Solve -6*w**4 + 0*w + 0 + 0*w**3 - 2/3*w**5 + 0*w**2 = 0.
-9, 0
Factor 73*p + 115*p - 1368 + 32*p**2 + 2152 + 38*p + p**3 + 82*p.
(p + 4)*(p + 14)**2
Let p = 89559/5 - 17907. Factor p*o + 72/5*o**2 + 6/5*o**5 + 0 + 78/5*o**3 + 36/5*o**4.
6*o*(o + 1)**2*(o + 2)**2/5
Let i(r) be the third derivative of -r**7/1960 - r**6/420 + r**5/40 - r**4/14 + 5*r**3/6 + 8*r**2. Let d(h) be the first derivative of i(h). Solve d(q) = 0.
-4, 1
Let v(x) be the first derivative of 0*x + 2/7*x**2 - 14 + 2/21*x**3 - 2/35*x**5 - 1/7*x**4. Factor v(f).
-2*f*(f - 1)*(f + 1)*(f + 2)/7
Let p(s) = -2*s + 25. Let n be p(11). What is v in -3*v + 6 - 14*v**2 + 8*v**3 - v**2 + v**n + 3*v**2 = 0?
-2/3, 1
Let h(v) be the first derivative of v**4/4 + 50*v**3/3 + 286*v**2 - 1352*v + 668. Factor h(x).
(x - 2)*(x + 26)**2
Suppose 123*k**4 - 110*k**3 + 125*k**5 - 8*k - 100*k**2 - 7*k - 23*k**4 + 0*k = 0. What is k?
-1, -3/5, -1/5, 0, 1
Let l(n) be the third derivative of -n**5/270 + 5*n**4/108 - 5*n**2 + 4*n. Determine d so that l(d) = 0.
0, 5
Let u(n) be the second derivative of -37/18*n**4 - 3/7*n**7 + 3/20*n**5 + 9/10*n**6 + 22/9*n**3 + 2*n + 2 - 4/3*n**2. Determine b, given that u(b) = 0.
-1, 1/2, 2/3
Factor 24*v - 13 + 3307*v**2 + v**3 - 3 - 3316*v**2.
(v - 4)**2*(v - 1)
Suppose 4*c = 3*c + 12. Determine s so that 10*s + 14*s + 32 + c*s + 4*s**2 = 0.
-8, -1
Let k(w) be the third derivative of 25*w**8/28 + 13*w**7/6 + 19*w**6/24 - 4*w**5/3 - 5*w**4/6 - 20*w**2. Let k(h) = 0. Calculate h.
-1, -2/3, -1/4, 0, 2/5
Let s(b) be the first derivative of -2*b**5/35 + 34*b**3/21 + 36*b**2/7 + 40*b/7 - 648. Determine c, given that s(c) = 0.
-2, -1, 5
Let o(h) be the first derivative of h**4/6 - 8*h**3/9 - 11*h**2/3 + 20*h + 596. Factor o(x).
2*(x - 5)*(x - 2)*(x + 3)/3
Factor 144*l - 72*l + 12*l**2 + 8*l**3 - 68*l.
4*l*(l + 1)*(2*l + 1)
Let q(j) = 4*j - 2. Let s be q(1). Factor -2*h**s + h + h**3 + 0 + 0*h**3 + 0.
h*(h - 1)**2
Determine v, given that v - 3*v + 8*v**2 - 4*v - 5*v**2 = 0.
0, 2
Let w(t) be the third derivative of t**9/12096 - t**8/1344 + t**7/336 - t**6/144 + 7*t**5/60 + 11*t**2. Let s(b) be the third derivative of w(b). Factor s(i).
5*(i - 1)**3
Suppose -5*y + 3*y = -6. Let g be 4/1 + (2 - 3). Suppose -2*r - 2 - 2*r**g - r**4 + 3 + 4*r**y = 0. What is r?
-1, 1
Find k such that 8/15*k**5 - 46/15*k**3 - 16/15 - 2/3*k**4 + 56/15*k + 44/15*k**2 = 0.
-2, -1, 1/4, 2
Let z(j) be the third derivative of -j**7/210 - j**6/120 + 7*j**5/60 + 13*j**4/24 + j**3 - j**2 - 392. Factor z(f).
-(f - 3)*(f + 1)**2*(f + 2)
Let 4*m**3 - 17*m**2 + 46*m**2 - 132*m + 3*m**2 = 0. Calculate m.
-11, 0, 3
Let g(t) = 6*t**4 - 94*t**3 + 54*t**2 + 94*t - 18. Let b(x) = x**4 - 19*x**3 + 11*x**2 + 19*x - 3. Let n(v) = -14*b(v) + 3*g(v). Factor n(o).
4*(o - 3)*(o - 1)**2*(o + 1)
Let s(f) = -2*f - 2*f**3 + 0*f**2 - 13*f + 23*f**2. Let j(a) = 15*a**3 - 185*a**2 + 120*a. Let v(g) = -3*j(g) - 25*s(g). Find l, given that v(l) = 0.
0, 1, 3
Factor 96/5 - 4/5*b**3 - 112/5*b + 8*b**2.
-4*(b - 6)*(b - 2)**2/5
Let r = 51/44 - 371/396. Let -16/9*d**3 + 8/9*d**5 + 2/9 + r*d**4 + 8/9*d - 4/9*d**2 = 0. Calculate d.
-1, -1/4, 1
Let p(d) = 26*d**5 - 11*d**4 - 5*d**2. Let x(r) = r**5 - r**4 - r**2. Suppose -t = 53 - 58. Let g(h) = t*x(h) - p(h). Factor g(l).
-3*l**4*(7*l - 2)
Let z(y) be the third derivative of -y**5/90 + y**4/6 + 7*y**3/9 - y**2 + 310*y. Let z(m) = 0. What is m?
-1, 7
Let v(a) be the second derivative of 7*a**6/40 - a**5/10 - 7*a**4/8 + a**3 + 3*a**2 + 12*a. Let b(r) be the first derivative of v(r). Solve b(h) = 0.
-1, 2/7, 1
Let l = -6/12721 + -6436784/89047. Let i = -72 - l. Solve 4/7*q**3 + 0*q - i*q**2 - 2/7*q**4 + 0 = 0.
0, 1
Suppose 0 = -r - b + 7, -r - 2*b = 3 - 15. Suppose s - 2*x - 23 = 0, -42 = s - 5*s - 2*x. Determine i, given that 4*i - s*i**2 + 4*i**r - 4 + 8*i**2 = 0.
2
Let v(g) = 17*g**4 + 65*g**3 + 79*g**2 + 18*g - 13. Let i(w) = 8*w**4 + 32*w**3 + 40*w**2 + 10*w - 6. Let j(f) = 13*i(f) - 6*v(f). Factor j(o).
2*o*(o + 1)**2*(o + 11)
Let a(j) = -4*j**2 - 5*j - 2. Let z be a(-2). Let u be (64/(-16))/(z/6). Factor -1/2*o**5 - 1/2*o + 1/2*o**4 - o**2 + o**u + 1/2.
-(o - 1)**3*(o + 1)**2/2
Let u(l) be the third derivative of 0*l**3 - 5/36*l**4 - 1/144*l**6 + 0 + 22*l**2 + 0*l - 1/18*l**5. Let u(k) = 0. Calculate k.
-2, 0
Factor -100/7 + 4/7*g**2 - 96/7*g.
4*(g - 25)*(g + 1)/7
Let -110/9*j**3 - 106/9*j**2 - 8/9 - 10/9*j**5 - 6*j**4 - 16/3*j = 0. Calculate j.
-2, -1, -2/5
Let u(c) be the second derivative of -c**7/9 - 11*c**6/15 - 16*c**5/15 + 20*c**4/9 + 16*c**3/3 - 16*c**2/3 + c - 57. Solve u(a) = 0 for a.
-2, 2/7, 1
Suppose 3*u + 13 = -4*t + 2*u, -16 = -2*t + 4*u. Let k be (1/4)/(t - 22/(-8)). Factor -k*l**2 + 1/3*l + 0 + 1/3*l**4 - 1/3*l**3.
l*(l - 1)**2*(l + 1)/3
Factor 15*z**3 - 3*z - 1 - 7*z**2 - 30*z**3 - 2*z + 12*z**3.
-(z + 1)**2*(3*z + 1)
Let r be ((1 + -3)/2)/((-5)/10). Factor 2*q + 7*q**2 - 4*q**3 + 2 - 13*q**r + 2*q**5 + 2*q**2 + 2*q**4.
2*(q - 1)**2*(q + 1)**3
Let f(i) = -i**2 - 8*i + 5. Let b be f(-7). Factor b + 25*o**2 - 24*o - 10*o**2 + 2*o**3 - 2*o**3 - 3*o**3.
-3*(o - 2)**2*(o - 1)
Let k(o) = -4*o**4 - 4*o**3 + 2*o**2 - 6*o - 6. Let x(r) = -r**4 - r - 1. Let a(f) = 2*k(f) - 12*x(f). Find m, given that a(m) = 0.
0, 1
Suppose 31 = 2*u - 27. Suppose 5*d = -3*h + u, 2*d - 14 = 3*h - 5*h. Find w such that 4/5*w**4 + 2/5 + 18/5*w**2 - 14/5*w**h - 2*w = 0.
1/2, 1
Let f(c) be the second derivative of -3*c**5/20 - c**4 + 14*c**3 - 48*c**2 + 152*c. Find l, given that f(l) = 0.
-8, 2
Factor 3*w**3 - 37*w**2 + 14*w**2 + 19*w**3 + 9*w**2 + 20