 b(l).
5*(l + 5)**2
Let f be (-1*(-13)/(-4) + 2)/(450/(-540)). Let -f + 0*u + 3/2*u**2 = 0. What is u?
-1, 1
Let o = 32232/11 + -2930. Factor 0*k**3 - 4/11*k**2 + 2/11 + 0*k + o*k**4.
2*(k - 1)**2*(k + 1)**2/11
Let b(n) = n**4 + 6*n**2 + 2*n - 18. Let r(c) = -3*c**4 - 11*c**2 - 5*c + 37. Let p be (-4)/8 + 1 + 3/2. Let i(x) = p*r(x) + 5*b(x). Factor i(u).
-(u - 2)**2*(u + 2)**2
Let l be (192/128)/(1/4*-3). Let i(m) = -5*m - 7. Let n be i(l). Solve a**2 + 1/2*a - 1/2*a**n - 1 = 0.
-1, 1, 2
Suppose -3*h + 77 = -28. Let o(g) = -2*g**3 + 3*g**2 + g + 10. Let q(d) = -d + 1. Let c(y) = h*q(y) - 5*o(y). Factor c(f).
5*(f - 3)*(f + 1)*(2*f + 1)
Let a = -19444 + 19446. Determine d, given that -1/4*d**a + 9/2*d - 81/4 = 0.
9
Let y(b) be the second derivative of b**5/80 - b**4/6 + 5*b + 2. Factor y(s).
s**2*(s - 8)/4
Suppose 31*x = -0*x + 217. Let q(m) be the second derivative of 1/84*m**x - 1/20*m**5 - 1/60*m**6 - 1/4*m**2 + 1/12*m**3 + 0 + 1/12*m**4 - 2*m. Factor q(n).
(n - 1)**3*(n + 1)**2/2
Let x be (-584)/(-24) + (-3 - 18). Suppose 4*s - 2*s = 6. Factor 4 + 44/3*j**2 - x*j**s - 46/3*j.
-2*(j - 3)*(j - 1)*(5*j - 2)/3
Let d = 187/36 - 40/9. Let b(i) be the first derivative of -5*i**3 - 9*i + d*i**4 + 21/2*i**2 - 4. Determine q, given that b(q) = 0.
1, 3
Let h = 1309/9 - 145. Let u(q) be the first derivative of -h*q**2 + 0*q + 1 + 4/27*q**3. Factor u(w).
4*w*(w - 2)/9
Let n be (4/(-6))/2*-24. Let s be 5/(-20) + 6/n. Determine j so that s - 3/4*j + 1/4*j**2 = 0.
1, 2
Let k(g) be the third derivative of 1/6*g**3 + 16*g**2 - 1/48*g**6 - 1/48*g**4 - 1/15*g**5 + 0*g + 0. Factor k(p).
-(p + 1)**2*(5*p - 2)/2
Let w = -60 - -64. Factor 24 + 26*c - w*c**2 - 46*c + 24*c.
-4*(c - 3)*(c + 2)
Let c(v) be the second derivative of 16*v**6/45 + 4*v**5 + 17*v**4/2 + 6*v**3 + 2*v + 210. Factor c(i).
2*i*(i + 6)*(4*i + 3)**2/3
Let c(l) be the first derivative of l**6/90 - l**5/20 + l**4/12 - l**3/18 + 12*l - 14. Let h(y) be the first derivative of c(y). Factor h(s).
s*(s - 1)**3/3
Find u such that 26*u + 1/4*u**2 + 676 = 0.
-52
Solve 12/5*j**3 - 1/5*j**4 - 6*j**2 - 9/5 + 28/5*j = 0.
1, 9
Let t(h) = -h**2 - 7*h - 5. Let u be t(-5). Solve -6*b + u*b + 4*b - 18*b**3 - 24*b**4 - 9*b**5 = 0 for b.
-1, 0, 1/3
Let l(j) be the third derivative of j**6/30 - 2*j**5/15 - 33*j**2. What is a in l(a) = 0?
0, 2
Let j(l) be the second derivative of -l**5/20 - l**4 - 9*l**3/2 + 393*l. Solve j(p) = 0 for p.
-9, -3, 0
Let j(v) = 28*v**2 + v. Let f be 0 + 2 - 2 - 1. Let t be j(f). Factor -q**2 - 27*q + t*q.
-q**2
Factor 2/7*j**2 - 22/7*j + 20/7.
2*(j - 10)*(j - 1)/7
Let f = -1316 - -39481/30. Let j(q) be the second derivative of 2/9*q**4 - 7*q - 1/3*q**3 - f*q**5 + 0 + 0*q**2. Find c, given that j(c) = 0.
0, 1, 3
Suppose -313*n + 321*n = 32. Factor -n*j + 4/3*j**2 + 4*j**3 - 8/3 + 4/3*j**4.
4*(j - 1)*(j + 1)**2*(j + 2)/3
Suppose 4*t - 173 = -t + 4*p, 5*t - 191 = -2*p. Suppose 2*b = 3*o - t, 0*o + 6 = -o - 3*b. Solve -5*d**4 - 35*d - 1 - 45*d**2 + 0 - o - 25*d**3 = 0 for d.
-2, -1
Let o(w) be the first derivative of 8*w**5/5 - 5*w**4 - 8*w**3 + 40*w**2 - 32*w + 70. Factor o(y).
4*(y - 2)**2*(y + 2)*(2*y - 1)
Let o(x) be the second derivative of -x**4/12 - x**3 - 15*x**2/2 - 14*x. Let l(w) = -1. Let k(z) = -30*l(z) + 5*o(z). Suppose k(c) = 0. What is c?
-3
Solve 1/2*r**3 + 71*r**2 + 5041/2*r + 0 = 0 for r.
-71, 0
Let n(f) be the second derivative of -f**9/3024 - f**8/560 - f**7/280 - f**6/360 - 3*f**3 - 10*f. Let u(o) be the second derivative of n(o). Factor u(q).
-q**2*(q + 1)**3
Let -15 + 15*h**3 - 12*h**2 + 19*h**2 + 28*h**2 - 5 = 0. What is h?
-2, -1, 2/3
Factor 69*c**4 + 77*c**3 + 3*c**5 - 13*c**2 + 81*c - 111*c**4 - 185*c**2 + 79*c**3.
3*c*(c - 9)*(c - 3)*(c - 1)**2
Factor 38/5*c - 12/5 - 6/5*c**2.
-2*(c - 6)*(3*c - 1)/5
Let b = 1541 + -1539. Factor 0 + 13/4*q**b - 1/2*q.
q*(13*q - 2)/4
Let x(p) = -p**2 + 39*p + 1263. Let r be x(-21). Find n, given that -1/2*n**5 + 108*n**2 + 0 + 9*n**4 + 0*n - 54*n**r = 0.
0, 6
Suppose -28*c - 8 = -64. Let 18/7*z - 1/7 - 81/7*z**c = 0. What is z?
1/9
Let k(y) be the first derivative of -3 + 3/2*y - 1/2*y**3 - 3/4*y**2 + 3/8*y**4. Solve k(r) = 0.
-1, 1
Let d be 25/(-12)*23/(460/(-32)). What is a in -2/3*a**4 - 4*a**2 - d*a**3 + 8/3*a + 16/3 = 0?
-2, 1
Let a(f) = -174*f**3 + 175*f**3 - 11 + 3*f**2 - 4*f - 9*f. Let v be a(-5). Factor 2/5*l**v + 2/5*l**2 + 0*l + 4/5*l**3 + 0.
2*l**2*(l + 1)**2/5
Let m(h) be the first derivative of h**5/35 - 3*h**4/28 - 9*h**3/7 + 135*h**2/14 - 162*h/7 + 78. Factor m(o).
(o - 3)**3*(o + 6)/7
Let b(f) be the third derivative of -f**6/280 + f**5/210 - 365*f**2. Let b(h) = 0. What is h?
0, 2/3
Let v(d) be the first derivative of d**3/3 + 13*d**2 - 87*d + 178. Suppose v(u) = 0. What is u?
-29, 3
Let s = -2011 - -2014. Factor 3/2*d**s + 0 + 0*d + 9/4*d**4 + 0*d**2 + 3/4*d**5.
3*d**3*(d + 1)*(d + 2)/4
Let q(w) = -w**4 - 3*w**3 + 4*w**2 - 4*w - 3. Let l(m) = m**3 - m**2 + 1. Let h(t) = -35*l(t) - 5*q(t). Find a, given that h(a) = 0.
-1, 1, 2
Let g = 103 - 99. Suppose 0*d = g*t - d - 3, -2 = 4*t - 2*d. Find m, given that -22/5*m**3 + 18/5*m**4 + 0 + 0*m + 4/5*m**t = 0.
0, 2/9, 1
Let q = 164 - 490/3. Let d(z) be the third derivative of 0 - z**2 + 0*z - q*z**3 - 1/6*z**4 - 1/60*z**5. Suppose d(y) = 0. What is y?
-2
Let m(v) be the third derivative of v**7/105 - 17*v**6/180 - v**5/15 + 87*v**2. Factor m(s).
2*s**2*(s - 6)*(3*s + 1)/3
What is o in -2*o**2 - 57*o + 59*o + 48 - o**2 - 47*o = 0?
-16, 1
Suppose -174 = 440*n - 527*n. Determine m, given that -40/3*m**n + 0 - 5/3*m**3 - 80/3*m = 0.
-4, 0
Suppose 5*u = -4*r + 42 - 12, -3*r - 12 = -2*u. Let k(o) be the third derivative of 0 - 6*o**2 - 1/9*o**4 - 2/45*o**5 + 0*o + 0*o**3 - 1/180*o**u. Factor k(n).
-2*n*(n + 2)**2/3
Let i(t) = -11*t**2 - 7*t + 16. Let r(k) = -32*k**2 - 19*k + 47. Let v(l) = -17*i(l) + 6*r(l). Factor v(p).
-5*(p - 2)*(p + 1)
Let c be 0 + (1/(-2) + 0)*-4. Find o, given that -16*o**2 + 12*o**2 + 4*o**4 - 16*o**c + 16 = 0.
-2, -1, 1, 2
Let a be 2442/77 - (-4)/14. Suppose 2*h - 5 = -5*t, -2*h + t + a = -3*t. What is n in -h*n**3 - n**2 + 4*n**2 + 7*n**3 = 0?
0, 1
Let u(k) be the third derivative of k**8/1008 - k**7/105 + 13*k**6/360 - k**5/15 + k**4/18 - 89*k**2. Solve u(f) = 0 for f.
0, 1, 2
Suppose -5*f = -3*c - 39, 2*c + 720*f - 718*f = 22. Determine p, given that -16/9*p**c + 10/9*p**3 + 4/9 + 2/9*p = 0.
-2/5, 1
Let l = -4240 + 4242. Factor 0 - 2/3*r + 2/9*r**l.
2*r*(r - 3)/9
Let s(l) be the second derivative of -2/21*l**7 + 0 - 2/5*l**6 - 3/5*l**5 + 0*l**2 + 0*l**3 - 9*l - 1/3*l**4. Factor s(d).
-4*d**2*(d + 1)**3
Suppose 7*w + 320 + 72 = 0. Let r be (-3 - w/21)/(2/(-3)). Factor 0*y + 1/2*y**2 - r.
(y - 1)*(y + 1)/2
Let p(a) = -a**4 + 60*a**3 + 243*a**2 + 446*a + 252. Let x(z) = -2*z**4 + 180*z**3 + 731*z**2 + 1337*z + 754. Let n(f) = -17*p(f) + 6*x(f). Solve n(w) = 0.
-4, -3, -1
Let o = -572 + 574. Let l(f) be the first derivative of 0*f**o - 5 + 3/4*f**4 - 3/5*f**5 + 0*f + 0*f**3. Suppose l(t) = 0. What is t?
0, 1
Let s(w) = 285*w**3 + 505*w**2 - 1190*w + 575. Let n(v) = 23*v**3 + 42*v**2 - 99*v + 48. Let y(g) = 25*n(g) - 2*s(g). Factor y(p).
5*(p - 1)**2*(p + 10)
Let a(n) = n**3 + 7*n**2 - 6*n + 18. Let d be a(-8). Find i, given that -3*i**4 - 129 + 15*i**2 - 5*i**d + i**4 + 121 = 0.
-2, -1, 1, 2
Suppose -6 = c - 8. Factor y - 544*y**c + 2*y**3 - y**3 + 542*y**2.
y*(y - 1)**2
Let v(r) be the second derivative of r**5/100 + r**4/60 + 284*r. Solve v(h) = 0.
-1, 0
Let n(s) = -s**2 + 10*s + 1. Let u be n(10). Suppose 1 = d - u. Factor -d*g**2 + 2*g + 2 + 3*g**2 + g.
(g + 1)*(g + 2)
Let z(v) = -11*v**2 + 264*v - 45. Let w(j) = -7*j**2 + 132*j - 22. Let x(q) = 5*w(q) - 2*z(q). Determine h, given that x(h) = 0.
2/13, 10
Let i be 233 - 217 - (0 - 7/(-1)). Factor -i*b - 15/2 - 3/2*b**2.
-3*(b + 1)*(b + 5)/2
Suppose 2*l - 33 = -25. Let z(c) be the third derivative of 0 + 0*c + 1/30*c**6 - 2/3*c**3 + 1/15*c**5 + l*c**2 - 1/6*c**4. Determine t, given that z(t) = 0.
-1, 1
Suppose -35 = 5*w + 2*w. Let c(i) = 30*i**2 - 15*i. Let k(x) = x**4 + x**3 + 31*x**2 - 15*x. Let m(f) = w*k(f) + 6*c(f). Solve m(j) = 0.
-3, 0, 1
Let n(m) = -m**3 + m**2 - m. Let g(p) = 8*p**2 - 3*p**3 + 9*p**3 + 2*p**3 + 11*p - 19*p**2. Let j(x) = -3*g(x) - 21*n(x). Factor j(d).
-3*d*(d - 2)**2
Let o