u) = u**2 - 2*u - 2. Let x(c) = -d(c) + 2*q(c). Factor x(v).
2*(v - 8)*(v + 1)
Let v(b) = b**2 + 1. Let a(r) = -4*r**2 + 25*r - 5. Let u(m) = -a(m) - 5*v(m). Factor u(j).
-j*(j + 25)
Let j(h) be the third derivative of -h**5/150 - 4*h**4/15 - 64*h**3/15 + 5*h**2. Suppose j(w) = 0. What is w?
-8
Let v(p) be the third derivative of p**9/5040 + 7*p**4/24 - 31*p**2. Let s(q) be the second derivative of v(q). Factor s(n).
3*n**4
Let l = 36 - 33. Suppose t = 5*g, -3*g - t + l*t = 0. Solve 0*c**2 + 0 - 1/3*c**4 - c**3 + g*c = 0.
-3, 0
Let i be -5 - (33 + -5)/(-4). Let l be 24/(-15) - i*-1. Factor 16/5*y - 32/5 - l*y**2.
-2*(y - 4)**2/5
Let d = 1179/4 - 294. Let r(j) be the first derivative of 0*j - 2/3*j**6 + d*j**4 + 0*j**2 - 4 - 1/3*j**3 + 0*j**5. Let r(k) = 0. What is k?
-1, 0, 1/2
Let p(o) = o**4 + o**3 + 2*o**2 + o. Let i(v) = -25*v**4 + 115*v**3 + 245*v**2 + 125*v. Let f(q) = i(q) + 20*p(q). Factor f(n).
-5*n*(n - 29)*(n + 1)**2
Suppose -4/11 - 6/11*d - 2/11*d**2 = 0. Calculate d.
-2, -1
Let p(n) be the second derivative of -n**4/6 - 3*n**3 - 20*n**2 + 197*n. What is a in p(a) = 0?
-5, -4
Let p = -56 - -55. Let b(n) = -n**2 + 2*n - 2. Let k(r) = -2. Let y(u) = 5. Let g(f) = -7*k(f) - 3*y(f). Let a(s) = p*b(s) + 5*g(s). Factor a(x).
(x - 3)*(x + 1)
Factor -2/5*w**2 - 6/5*w + 108/5.
-2*(w - 6)*(w + 9)/5
Let k(a) be the second derivative of -3*a**5/4 + 7*a**4/6 + 7*a**3/6 - 3*a**2 - 6*a + 1. Suppose k(o) = 0. Calculate o.
-2/3, 3/5, 1
Let r(z) be the second derivative of 0*z**2 + 1/25*z**6 + 0*z**4 + 0 - 3/100*z**5 + 0*z**3 - 8*z - 1/70*z**7. Factor r(g).
-3*g**3*(g - 1)**2/5
Let z(g) be the third derivative of -g**6/90 + g**5/12 - g**4/8 + 142*g**2. Factor z(u).
-u*(u - 3)*(4*u - 3)/3
Let a(v) be the third derivative of -v**8/40320 + v**7/2016 - v**6/360 - v**5/6 - 29*v**2. Let m(z) be the third derivative of a(z). Factor m(n).
-(n - 4)*(n - 1)/2
Factor 5/2*i**4 + 1/2 + 1/2*i**5 + 5*i**3 + 5*i**2 + 5/2*i.
(i + 1)**5/2
Suppose 100*n - 161 = 139. Factor -a**4 - 2/3*a - 2/3*a**n + 7/3*a**2 + 0.
-a*(a - 1)*(a + 2)*(3*a - 1)/3
Factor 0 - 2/5*b**3 - 4*b - 14/5*b**2.
-2*b*(b + 2)*(b + 5)/5
Let v(h) be the second derivative of -h**7/8820 - h**6/1260 + h**4/2 - 13*h. Let n(j) be the third derivative of v(j). Find z such that n(z) = 0.
-2, 0
Let n(x) = x**4 + 50*x**3 + 95*x**2 + 46*x - 1. Let i(d) = -d**3 + d + 1. Let r(w) = i(w) + n(w). Determine b, given that r(b) = 0.
-47, -1, 0
Let w(y) = y**3 - 7*y**2 - y + 2. Let o be w(7). Let l(x) = -32*x**2 + 148*x - 308. Let i(z) = -13*z**2 + 59*z - 123. Let b(q) = o*l(q) + 12*i(q). Factor b(t).
4*(t - 4)**2
Let a(j) be the first derivative of 9/35*j**5 + 7 - 3/7*j**3 + 3/14*j**4 + 0*j - 3/7*j**2. Determine m, given that a(m) = 0.
-1, -2/3, 0, 1
Let x(c) be the third derivative of 11*c**7/840 - 3*c**6/160 - c**5/120 + 67*c**2. Factor x(p).
p**2*(p - 1)*(11*p + 2)/4
Let x be 1/(-2) - (-6978)/(-12). Let l = x - -2926/5. Find v such that l*v**2 + 4/5 + 14/5*v - 4/5*v**4 - 2/5*v**5 + 4/5*v**3 = 0.
-1, 2
Factor -222 + 14*k + 2*k**2 + 242 + 0*k.
2*(k + 2)*(k + 5)
Let o(f) be the first derivative of -f**5/5 + f**4/4 + f**3/3 - f**2/2 + 294. Factor o(k).
-k*(k - 1)**2*(k + 1)
Let k(i) = -i**4 - i**3 - 17*i**2 + 17*i + 10. Let x(a) = -a**3 - 9*a**2 + 8*a + 4. Let c(t) = 2*k(t) - 5*x(t). Determine z, given that c(z) = 0.
-2, 0, 1/2, 3
Let y(t) = 9*t**4 + 31*t**3 + 90*t**2 + 96*t + 48. Let f(g) = -8*g**4 - 32*g**3 - 90*g**2 - 97*g - 46. Let h(l) = -4*f(l) - 3*y(l). Factor h(r).
5*(r + 1)*(r + 2)**3
Factor -14/9*l**2 + 8/9*l + 2/9*l**3 + 8/3.
2*(l - 6)*(l - 2)*(l + 1)/9
Let x(f) = f**2. Let i(r) = -7*r**2 - 3*r + 4. Suppose -3*a - 15 - 57 = 0. Let k be a/16*(-4)/6. Let d(h) = k*i(h) + 6*x(h). Find o such that d(o) = 0.
-4, 1
Suppose 13*z - 14*z = -2. Solve -14*f**3 - 5*f + 3*f**4 - 5*f**3 - 7*f + 24*f**z + 4*f**3 = 0 for f.
0, 1, 2
Let j(q) = -7*q**2 + 7*q. Let w be ((-18)/(-8))/(9/36). Let z be w/(-2)*24/18. Let y(c) = 15*c**2 - 15*c. Let k(s) = z*y(s) - 13*j(s). Factor k(n).
n*(n - 1)
Let y(f) be the first derivative of 3*f**5/35 + 15*f**4/4 - 237*f**3/7 + 1107*f**2/14 - 412. Solve y(n) = 0.
-41, 0, 3
Let d be (-41)/(-44) - (-30)/(-165) - -1. Suppose -v**5 - d*v**2 + 0 - 1/2*v + 3/2*v**3 + 7/4*v**4 = 0. What is v?
-1, -1/4, 0, 1, 2
Factor 105/2*c**2 + 0 - 18*c**3 + 3/2*c**4 - 36*c.
3*c*(c - 8)*(c - 3)*(c - 1)/2
Factor -9 + 39/5*r + 1/5*r**3 - 11/5*r**2.
(r - 5)*(r - 3)**2/5
Let u be (0/(-1 + -12))/3. Factor u - 4/11*p**2 + 2/11*p + 2/11*p**3.
2*p*(p - 1)**2/11
Suppose 0*t = 6*t - 372. Let m = -57 + t. Let 4/3*z**2 - 2/3*z**3 + 2/3*z**m + 0*z + 0 - 4/3*z**4 = 0. What is z?
-1, 0, 1, 2
Let i be (-3)/(-5)*(-1 - 14). Let z(u) = 2*u + 20. Let j be z(i). Factor 0*q + 1/3*q**5 + q**3 + 0 + 1/3*q**j + q**4.
q**2*(q + 1)**3/3
Suppose 145 = 3*p - 116. Let i = p + -83. Factor -34/5*d**3 - 8/5*d - 8/5*d**i + 0 - 8*d**2.
-2*d*(d + 2)**2*(4*d + 1)/5
Let -2*g**4 + 6*g**2 + 0*g - 2*g**2 + 75*g**5 + 4*g**3 - 2*g - 2 - 77*g**5 = 0. What is g?
-1, 1
Suppose 13*o = 3*z + 14*o - 16, 13*o = -3*z + 100. Solve -48/17*f**2 - 8/17*f + 98/17*f**4 - 42/17*f**z + 0 = 0 for f.
-2/7, 0, 1
Let a(k) = 2*k**5 - 8*k**4 + 19*k**3 - 7*k**2 - 21*k + 15. Let v(x) = x**5 + x**2 - x - 1. Let g(n) = a(n) - v(n). Find o such that g(o) = 0.
-1, 1, 2, 4
Factor 1/9*n**3 - 43/9*n + 0 + 14/3*n**2.
n*(n - 1)*(n + 43)/9
Let q be (-348)/29 - 14/(-1). Let -8/3*a - 2/3*a**2 - q = 0. Calculate a.
-3, -1
Let l(j) be the third derivative of 1/90*j**5 + 16/9*j**3 + 0*j + 0 - 3*j**2 - 2/9*j**4. Factor l(q).
2*(q - 4)**2/3
Let h = 6949 + -6946. Suppose -100/9*t**h + 6*t**4 + 8*t**2 + 0 - 10/9*t**5 - 16/9*t = 0. What is t?
0, 2/5, 1, 2
Let f(x) be the second derivative of x**7/2205 - x**6/630 + x**5/630 + 3*x**2 + 31*x. Let a(o) be the first derivative of f(o). Factor a(v).
2*v**2*(v - 1)**2/21
Suppose 2*z + j = 1, 0 = 5*z - 0*z + 3*j. Factor -6*h**5 - 2*h**4 - 67*h**2 + 5*h**5 + h**z + 69*h**2.
-h**2*(h - 1)*(h + 1)*(h + 2)
Let v = 8323 + -8323. Factor 2/7*g**5 + v*g**3 + 4/7*g**4 + 0*g**2 + 0 + 0*g.
2*g**4*(g + 2)/7
Solve -10*m**2 + 2*m + 21*m**4 - 9*m**3 - m - 11*m**2 + 8*m = 0 for m.
-1, 0, 3/7, 1
Suppose 41 + 34 = -s. Let j be (-130)/s + 2/(-5). Factor -2/3*n**2 + j - 2/3*n.
-2*(n - 1)*(n + 2)/3
Find l, given that 3/8*l**2 + 15*l - 123/8 = 0.
-41, 1
Factor 306*t**5 + 28*t**4 + 64*t**3 + 56*t**2 + 56*t**3 + 88*t**2 - 304*t**5.
2*t**2*(t + 2)*(t + 6)**2
Let 94/3*t + 50/3*t**2 + 2/3*t**3 + 46/3 = 0. Calculate t.
-23, -1
Let f(b) be the second derivative of -5*b**7/42 + 7*b**6/6 - 15*b**5/4 + 15*b**4/4 - b + 22. Determine d so that f(d) = 0.
0, 1, 3
Let i(u) be the third derivative of -u**6/105 - 41*u**5/420 - 67*u**4/168 - 17*u**3/21 + 214*u**2. Find z, given that i(z) = 0.
-17/8, -2, -1
Let d(z) = -z**3 + 9*z**2 - 7*z - 5. Let q be d(8). What is l in 416 - q*l**2 - 416 + l**4 + 2*l**3 = 0?
-3, 0, 1
Let x(k) be the first derivative of 5*k**3/3 + 100*k**2 + 2000*k + 74. Suppose x(y) = 0. What is y?
-20
Determine q so that -33/2*q - 75/4*q**2 - 3/4*q**3 + 36 = 0.
-24, -2, 1
Suppose -6/13*c**2 + 100/13 + 2/13*c**4 + 110/13*c - 14/13*c**3 = 0. What is c?
-2, -1, 5
Factor -o**4 + o**2 - 2/3*o + 0 + 1/3*o**5 + 1/3*o**3.
o*(o - 2)*(o - 1)**2*(o + 1)/3
Let u(b) be the second derivative of b**6/72 - b**5/12 + 5*b**4/24 - 19*b**3/6 + 12*b. Let x(i) be the second derivative of u(i). Factor x(w).
5*(w - 1)**2
Let v(f) = -f**2 + 10*f - 7. Let s be v(9). Find g such that -12*g**4 + 3*g**3 - 5*g**2 + 12*g**3 + g**s - 3*g**3 + 4*g**5 = 0.
0, 1
Let x(s) be the second derivative of -s**5/100 + s**4/60 + s**3/15 + 123*s. Let x(o) = 0. Calculate o.
-1, 0, 2
Solve 73*r + 50 + 72*r + 24*r**2 - 5*r**4 + 35*r**3 + 111*r**2 = 0 for r.
-1, 10
Let d(y) be the third derivative of y**6/270 + 2*y**5/45 - 2*y**3 - 13*y**2. Let g(c) be the first derivative of d(c). Find f, given that g(f) = 0.
-4, 0
Let u(c) = 3*c + 6. Let o be u(0). Factor 6*n**3 - 12*n - o*n**3 - 4*n**4 + 8 + 8*n**3 - 4*n**2 + 4*n**3.
-4*(n - 2)*(n - 1)**2*(n + 1)
Let j(h) be the third derivative of -h**7/1890 - h**6/270 + 7*h**5/540 + 5*h**4/108 + 3*h**2 - 16. Find x such that j(x) = 0.
-5, -1, 0, 2
Let u = -1836 + 1839. Solve 3/2*q**2 + 0 - 3/2*q**u - 3/2*q**4 + 3/2*q = 0.
-1, 0, 1
Let f be 66/(-4)*10/(-15). Let l be 12/(-18) - f/(-12)