 24 = 6*j. Let m(b) = j*u(b) + 20*z(b). Factor m(r).
-4*r**2*(r - 1)
Suppose 12*v = 7*v + 15. Determine t, given that t**v - 3*t - 76*t**2 + 0*t**3 + 74*t**2 = 0.
-1, 0, 3
Let j(n) be the third derivative of -17*n**2 + 0 + n**3 + 1/90*n**5 + 0*n + 5/18*n**4. Determine g so that j(g) = 0.
-9, -1
Let x be (-56)/784 + (-86)/(-28). Let r(c) be the first derivative of -2*c + 5 + 8/3*c**3 - x*c**2. Factor r(h).
2*(h - 1)*(4*h + 1)
Let w be 2/6 - (-8 - (-1342)/165). Let s(g) be the second derivative of 0*g**2 - 6*g - 1/2*g**4 + w*g**6 + 0 + 0*g**5 + 1/14*g**7 - 1/2*g**3. Factor s(n).
3*n*(n - 1)*(n + 1)**3
Factor 3 - 12/5*x - 3/5*x**2.
-3*(x - 1)*(x + 5)/5
Let g be ((-285)/(-2584))/((-1)/(-4)). Let j = g + 1/17. Determine s, given that 0*s**4 + 0*s**2 + 0 - 1/2*s + s**3 - j*s**5 = 0.
-1, 0, 1
Let o = 107 + -57. Let r = 53 - o. Factor -1/3 + 1/6*j**4 + 1/6*j**r - 5/6*j - 1/2*j**2.
(j - 2)*(j + 1)**3/6
Let j be (-11)/(-33)*(-72)/(-54). Factor 0*u + j*u**4 + 4/9*u**2 + 0 - 8/9*u**3.
4*u**2*(u - 1)**2/9
Factor 3/8*y**4 + 27/8*y**3 + 33/8*y + 0 - 63/8*y**2.
3*y*(y - 1)**2*(y + 11)/8
Factor -8/7*d**3 - 1/7*d**4 + 0 - 17/7*d**2 - 10/7*d.
-d*(d + 1)*(d + 2)*(d + 5)/7
Suppose -4*k = -12*k + 32. Let d be k/10*-10*1/(-12). Let 1/3*b**2 + 0 - d*b = 0. What is b?
0, 1
Let f = 13 + 1. Suppose -5*p = -f - 6. Factor 22*c**2 - c**4 + c**5 - 17*c**2 + 0*c**p - 3*c**3 - 2*c.
c*(c - 1)**3*(c + 2)
Let k(v) be the first derivative of -5*v**4/12 - 25*v**3/6 - 10*v**2 + 44*v - 33. Let p(q) be the first derivative of k(q). Solve p(u) = 0.
-4, -1
Let o be (-6 + 8)*(-3 + 4). Suppose 3/2*l**o + 3/2*l - 3/2*l**3 - 3/2 = 0. Calculate l.
-1, 1
Suppose 30 = -s + 11*s. Suppose 68*q - 3*q**s - 59*q + 1 + 5 = 0. What is q?
-1, 2
Let y(o) be the second derivative of -3*o**5/2 - 445*o**4/12 - 400*o**3/3 - 385*o**2/2 + 26*o + 4. Factor y(n).
-5*(n + 1)**2*(6*n + 77)
Let o(p) = p**2 - 12*p + 6. Let b be o(12). Let s be 1/(b/21) - 33/11. Solve -s*q**2 - q - 1/2 = 0 for q.
-1
Factor -275 + 2*u**2 - 440 + 3*u**2 - 3 + 115*u - 152.
5*(u - 6)*(u + 29)
Factor 115*q - 11 - 10 - 19 + 167*q**3 - 65*q**2 - 177*q**3.
-5*(q - 1)*(q + 8)*(2*q - 1)
Solve -4*s - 6*s**3 + 6*s + 2*s**2 + 2*s - 8 + 5*s**3 = 0 for s.
-2, 2
Suppose 5*t + 7 + 1 = 4*l, 4*t - 5*l + 10 = 0. Factor 3*i**2 + 170 + t*i**2 - 3 + 76 - 54*i.
3*(i - 9)**2
Let f(g) be the third derivative of -g**7/210 - 41*g**6/60 - 189*g**5/5 - 3645*g**4/4 - 6561*g**3/2 - 200*g**2. Factor f(l).
-(l + 1)*(l + 27)**3
Let g(x) = -2*x - 3. Let a be g(-4). Let j = a - -16. Find r, given that -j*r**2 - 7*r - 9*r - 32 + 19*r**2 = 0.
-4
Let w = 6/113 + 2218/791. Factor -w*f**3 + 0 + 8/7*f - 12/7*f**2.
-4*f*(f + 1)*(5*f - 2)/7
Let a be 273/(-42) - (-5 - 2). Let p(t) be the first derivative of -a*t**2 - 1/3*t**3 + 2*t + 3. Let p(y) = 0. What is y?
-2, 1
Let b be (324/(-240))/(-3 + (3 - 3)). Let d(o) be the third derivative of o**2 + 1/4*o**4 + 0*o + 0 + 0*o**3 - b*o**5. Suppose d(a) = 0. Calculate a.
0, 2/9
Let h(z) be the second derivative of 11*z**5/90 - 4*z**4/9 - 29*z**3/27 + 2*z**2/3 + 542*z. Find f such that h(f) = 0.
-1, 2/11, 3
Let c be (-1 + 52/(-60))*15/(-18). Let z = -19/18 + c. Find b such that 1/2*b + b**2 - b**4 + 0*b**3 + 0 - z*b**5 = 0.
-1, 0, 1
Let q(x) = -10*x**2 + 137*x + 44. Let s be q(14). Let p(c) be the first derivative of -4/5*c**5 - 7*c**4 - 12 - 32*c - 40*c**s - 24*c**3. Factor p(g).
-4*(g + 1)*(g + 2)**3
Let v(n) = 4*n**3 + 812*n**2 + 40810*n. Let z(k) = -12*k**3 - 2438*k**2 - 122433*k. Let r(i) = -7*v(i) - 2*z(i). Let r(x) = 0. Calculate x.
-101, 0
Let x(i) be the third derivative of i**6/180 + 14*i**5/15 + 196*i**4/3 + 21952*i**3/9 - 2*i**2. Suppose x(h) = 0. Calculate h.
-28
Let p(k) be the first derivative of -k**4/32 - 2*k**3/3 - 4*k**2 + 205. Factor p(f).
-f*(f + 8)**2/8
Let k(h) be the first derivative of h**4/22 - 4*h**3/33 - 4*h**2/11 + 16*h/11 - 92. Factor k(o).
2*(o - 2)**2*(o + 2)/11
Let l(u) be the third derivative of -u**5/240 + 15*u**4/32 + 47*u**3/12 - u**2 - 53*u. Factor l(d).
-(d - 47)*(d + 2)/4
Suppose -6 + 0*w**2 - 2 - 5*w**2 - 2 - 15*w = 0. Calculate w.
-2, -1
Let s(y) be the first derivative of 0*y + 1/21*y**3 - 3/14*y**2 - 5. Factor s(x).
x*(x - 3)/7
Let l(m) = 13*m**2 + 19*m + 48. Let u(o) = 11*o**2 + 20*o + 48. Let c(h) = 4*l(h) - 5*u(h). Factor c(x).
-3*(x + 4)**2
Let w = 4/6027 + 11986/102459. Factor 6/17*h**2 + 2/17*h**3 + 6/17*h + w.
2*(h + 1)**3/17
Factor 1782*o + 3993/2*o**3 + 3267*o**2 + 324.
3*(11*o + 6)**3/2
Let g(z) be the second derivative of z**7/189 + 7*z**6/45 - z**5/2 + 23*z**4/54 + 151*z. Determine j, given that g(j) = 0.
-23, 0, 1
Let u(s) = -2*s**4 + 3*s**3 + s**2 - 3*s - 6. Let j(n) = -n**4 + n**3 + n**2 - n - 3. Let q = 8 - 1. Let o(r) = q*j(r) - 3*u(r). Factor o(t).
-(t - 1)**2*(t + 1)*(t + 3)
Let t be 3 - (26/(-22) + (-4)/(-22)). Let k(c) = -54*c**2 + 36*c - 12. Let q(y) = -y**2 - y - 1. Let j(r) = t*q(r) - k(r). Solve j(x) = 0 for x.
2/5
Suppose -4*a + 6 = -10. Solve -20*q**5 + 25*q**5 - 31*q**2 - a + q**4 + 6*q**4 - 20*q - 13*q**3 = 0 for q.
-1, -2/5, 2
Suppose 0 = -9*y + 21 - 3. Determine h so that -19*h**4 + 11*h**4 + 216*h + 0*h**y + 24*h**3 + 162 + 10*h**4 + 108*h**2 = 0.
-3
Suppose 0*f**2 + 4*f**2 - 2*f**2 + 3*f + 2*f - 5*f**3 - 2 = 0. Calculate f.
-1, 2/5, 1
Let y = 295 - 291. Suppose 26*h + 17 = 3*s + 31*h, y*h = 4*s - 12. Factor -7/5*i + 2/5 + 8/5*i**2 - 2/5*i**3 - 2/5*i**s + 1/5*i**5.
(i - 1)**4*(i + 2)/5
Suppose 410 = 31*u + 286. Suppose 2/11*i**3 + 0 + 0*i + 0*i**2 + 2/11*i**u = 0. What is i?
-1, 0
Let n(w) be the first derivative of -5*w**4/18 + 2*w**3/3 + 195. Suppose n(j) = 0. What is j?
0, 9/5
Let b = 1940 + -1938. Factor -1/4*m**b + 0 + 0*m.
-m**2/4
Let s(a) = -a**3 - a**2 - a - 1. Let y(t) = -11*t**3 + 64*t**2 - 6*t - 6. Let u(b) = 6*s(b) - y(b). Let u(i) = 0. Calculate i.
0, 14
Suppose 0 = -4*p, 0*r - 3*r + 5*p = -63. Let w be 266/r + 4/(-6). Determine x so that x - 5*x + 3*x - 7*x + 4*x**2 - w = 0.
-1, 3
Let l(m) be the second derivative of -m**6/6 + 2*m**5 - 55*m**4/6 + 20*m**3 - 45*m**2/2 - 62*m. Solve l(y) = 0 for y.
1, 3
Let d be 9/((-315)/56) - -2. Factor 1/5 - d*w + 1/5*w**2.
(w - 1)**2/5
Let h = -80 + 81. Let d be 3/2*2 - (h - -2). Let -2/7*p**3 + 2/7*p**4 + 0 + 0*p + d*p**2 = 0. What is p?
0, 1
Factor -4/13*c**2 - 34/13*c**3 + 0*c + 0.
-2*c**2*(17*c + 2)/13
Let j be (6/(-18))/((-3)/9). Let w(y) = 5*y**3 - y**2 + 1. Let q be w(j). Factor -5*v - 5 - q*v + 5*v**2 - 10*v**2.
-5*(v + 1)**2
Let r = 5021 + -5017. Suppose -5*j = -3*j. Factor 0*a**3 - 4/7*a**r + 0 + j*a**2 + 0*a.
-4*a**4/7
Let v be 16/(-12)*6/(-4). Suppose -2*j - v + 18 = 0. Let o(q) = -q**2 - q + 1. Let p(c) = 10*c**2. Let y(d) = j*o(d) + p(d). Factor y(w).
2*(w - 2)**2
Let x be (4 + -1)/(-6) - (-297)/66. What is g in -6/5*g**2 - 2/5*g + 0 - 6/5*g**3 - 2/5*g**x = 0?
-1, 0
Let m = 14 - 11. Let k be 1/m - (-16)/6. Factor 2*f + 3*f**2 - k*f**2 - 4*f**2 - 6*f - f**3.
-f*(f + 2)**2
Determine t, given that 159*t + 7*t**2 - 500*t + 167*t + 168*t - t**3 = 0.
0, 1, 6
Solve -105/4 + 27*s - 3/4*s**2 = 0.
1, 35
Let w(m) be the second derivative of -m**8/756 + 2*m**7/945 + m**6/135 + 41*m**2/2 + 10*m. Let i(h) be the first derivative of w(h). Factor i(g).
-4*g**3*(g - 2)*(g + 1)/9
Let v(z) = z**3 - 54*z**2 - 175*z - 118. Let g(c) = 7*c**3 - 213*c**2 - 700*c - 471. Let j(a) = -2*g(a) + 9*v(a). Suppose j(b) = 0. Calculate b.
-8, -3, -1
Let u(v) be the third derivative of -v**7/280 + v**6/60 + v**5/40 - v**4/4 + 5*v**3/3 + 3*v**2. Let j(d) be the first derivative of u(d). Factor j(p).
-3*(p - 2)*(p - 1)*(p + 1)
Factor 2525*x**2 + 11395*x - 14045 + 57*x**3 - 55*x**3 + 61*x**3 + 62*x**3.
5*(x - 1)*(5*x + 53)**2
Suppose -3*s + 2 = -2*s. Let y = -7 - -13. Factor -b**2 - b**2 + y - s*b**2 - 3*b + b**2.
-3*(b - 1)*(b + 2)
Let c be ((-6)/2)/(245/42 - 6). Suppose -3*t + 24 = 3*n, 5*t - c = -3*n + 14. Factor 72/5*h**3 + 3/5*h + 27/5*h**2 + 0 + 48/5*h**t.
3*h*(h + 1)*(4*h + 1)**2/5
Suppose 5*g + 4*a - 2 = -7, 10 = -4*g - 2*a. Let v(q) = -q**4 + q**3 - q + 1. Let b(y) = 8*y**4 - 9*y**3 + 9*y - 8. Let l(h) = g*b(h) - 35*v(h). Factor l(m).
-5*(m - 1)**3*(m + 1)
Let v = 9965 + -9961. Suppose 0*q**2 - 2/11*q**5 + 0 + 2/11*q**v + 0*q + 4/11*q**3 = 0. Calculate q.
-1, 0, 2
Let o(p) be the first derivative of 8*p**5/25 + 23*p**4/1