Factor a(y).
2*y*(y - 4)*(y - 1)**2
Let o = 177 - 173. Suppose -6*g + 16 - o = 0. Find k, given that 2/3*k**g + k + 1/3 - 2/3*k**3 - k**4 - 1/3*k**5 = 0.
-1, 1
Suppose 7 + 0*m + 15 + 0*m**2 - 16*m - 4*m**2 - 2 = 0. Calculate m.
-5, 1
Suppose -4*l + 9 - 1 = 0. Suppose -472*t + 484*t - 36 = 0. Let -4/5*x - 6/5*x**l - 2/5*x**t + 0 = 0. Calculate x.
-2, -1, 0
Suppose 39 = -31*f + 44*f. Let p(g) be the first derivative of -1/6*g**4 + 4/3*g - 4/9*g**f + 1/3*g**2 + 1. Suppose p(h) = 0. Calculate h.
-2, -1, 1
Suppose -5*i - 114 = 2*b, 19 = -i + b - 8. Let t be (-2)/(-4) + (100/i - -4). Factor 0 - 4/3*n - t*n**2.
-n*(n + 4)/3
Let b(x) be the first derivative of -x**6/3 - 82*x**5/5 - 273*x**4 - 4312*x**3/3 + 2744*x**2 - 164. Factor b(j).
-2*j*(j - 1)*(j + 14)**3
Let 22*b**2 + 216*b + 2 - 240*b + 0 = 0. What is b?
1/11, 1
Let g(k) be the third derivative of -1/120*k**5 + 0*k + 8*k**2 + 0 + 1/16*k**4 - 1/6*k**3. Suppose g(n) = 0. Calculate n.
1, 2
What is p in 84*p + 150*p**2 + 0 + 33/2*p**4 + 87*p**3 = 0?
-2, -14/11, 0
Solve -3/2*k**2 + 15/2*k + 9 = 0 for k.
-1, 6
Let a(n) = -n**5 + 2*n**4 + 16*n**3 + 3*n**2 - 15*n. Let z(u) = -u**5 + 2*u**4 + 16*u**3 + 4*u**2 - 15*u. Let b(d) = 6*a(d) - 5*z(d). Let b(f) = 0. What is f?
-3, -1, 0, 1, 5
Let b(o) be the second derivative of o**10/7560 - o**8/840 + o**6/180 + o**4/6 + o. Let z(j) be the third derivative of b(j). Suppose z(d) = 0. What is d?
-1, 0, 1
Let o(s) be the first derivative of -s**7/84 - s**6/15 - 3*s**5/20 - s**4/6 - s**3/12 - 16*s - 1. Let r(k) be the first derivative of o(k). Factor r(g).
-g*(g + 1)**4/2
Let b(h) be the third derivative of -h**6/40 + 33*h**5/2 - 9075*h**4/2 + 665500*h**3 - h**2 + 6. Factor b(g).
-3*(g - 110)**3
Let f(s) be the second derivative of -s**4/12 + s**3/6 - s**2/2 + 4*s. Let i(p) = -p**3 + 6*p**2 - 3*p + 5. Let z(j) = 20*f(j) + 4*i(j). Factor z(d).
-4*d*(d - 2)*(d + 1)
Let u(r) be the third derivative of r**6/90 - 13*r**5/45 + 55*r**4/18 - 50*r**3/3 + 6*r**2 - 5. Factor u(w).
4*(w - 5)**2*(w - 3)/3
Let o(u) be the third derivative of -u**5/570 - 3*u**4/76 - 8*u**3/57 - 75*u**2. Determine y so that o(y) = 0.
-8, -1
Let p = 177/154 - 19/22. Factor 0 - p*i**2 - 2/7*i.
-2*i*(i + 1)/7
Let y(w) be the third derivative of w**5/540 - 7*w**4/216 + w**3/9 - 2*w**2 - 4*w. Factor y(m).
(m - 6)*(m - 1)/9
Factor 3 - l - 8*l**2 - 719*l**5 - 1 + 718*l**5 + 2*l**4 + 4*l**2 + 2*l**3.
-(l - 2)*(l - 1)**2*(l + 1)**2
Let s(x) be the first derivative of x**5/40 - x**3/4 + x**2/2 + 24*x + 8. Let n(o) be the first derivative of s(o). Factor n(d).
(d - 1)**2*(d + 2)/2
Let h(c) be the second derivative of c**6/300 - 7*c**5/150 + 11*c**4/60 - c**3/3 - 14*c**2 - 24*c. Let n(q) be the first derivative of h(q). Factor n(v).
2*(v - 5)*(v - 1)**2/5
Let 2/5*f**3 + 48/5*f - 32/5 - 18/5*f**2 = 0. Calculate f.
1, 4
Let c be ((32 - 21)/(-44))/(0 + 1/(-2)). Determine g so that 0*g + 0*g**2 + c*g**3 + 1/4*g**4 + 0 = 0.
-2, 0
Let i(w) be the second derivative of -1/6*w**3 + 1/5*w**5 + 0 + 0*w**2 + 11*w - 1/24*w**4 - 1/12*w**6. Solve i(l) = 0.
-2/5, 0, 1
Let b be 48/22 + (-38 + 35 - (-31)/11). Find x, given that 3/2*x**b + 5/2*x + 1 = 0.
-1, -2/3
Let g = 2124 + -2120. Let a(k) be the first derivative of 0*k + 8/7*k**3 - 2/5*k**5 - 12 + 4/7*k**2 - 9/14*k**g. Let a(s) = 0. What is s?
-2, -2/7, 0, 1
Let o(k) = -3*k**2 - 43*k - 11. Let p be o(-14). Let a(u) be the second derivative of -2/25*u**5 + 0 + 4/5*u**2 - 4*u + 17/30*u**4 - 4/3*u**p. Solve a(n) = 0.
1/4, 2
Let z(j) = -j**3 - 6*j**2 + 14*j - 40. Let s(b) = -b - 2. Let u(k) = 22*s(k) - 2*z(k). Let u(d) = 0. Calculate d.
-9, 1, 2
Suppose -62*j = -77*j. Let c(g) be the first derivative of j*g**2 + 9 + 1/6*g - 1/18*g**3. Solve c(v) = 0.
-1, 1
Suppose -3*q - 13 + 22 = 0. Let y = -1 + q. Suppose -1/4*r**3 + 0 + 1/4*r**y + 0*r = 0. What is r?
0, 1
Factor 48/5 + 16/5*g + 1/5*g**2.
(g + 4)*(g + 12)/5
Let u(r) = -13*r**2 + 3*r + 7. Let m be u(-5). Let v = -1659/5 - m. Factor -3/5*k**2 - v*k + 9/5.
-3*(k - 1)*(k + 3)/5
Let o(x) be the second derivative of x**7/189 + 2*x**6/135 - 2*x**5/45 - x**4/27 + x**3/9 + 14*x + 1. Determine s so that o(s) = 0.
-3, -1, 0, 1
Let q be (-1)/(153/(-84)) + 0 - (-144)/1224. Find t, given that -4*t - 14/3 + q*t**2 = 0.
-1, 7
Suppose p - r - 2*r - 17 = 0, -p - 4*r - 4 = 0. Factor -p*n**4 - 134*n**2 - 4*n**3 + 0*n**5 - 4*n**5 + 134*n**2.
-4*n**3*(n + 1)**2
Let f(l) be the third derivative of l**5/70 + 11*l**4/14 - 23*l**3/7 + 16*l**2 - 2*l. Solve f(w) = 0.
-23, 1
Let k(q) = -q**5 + q**4 + q**2 + q. Let i(b) = 6*b**5 - 4*b**4 - 3*b**3 - 10*b**2 - 7*b. Suppose -40 = -4*f + 2*f. Let w(s) = f*k(s) + 4*i(s). Factor w(h).
4*h*(h - 2)*(h + 1)**3
Let w(y) = y**3 + y. Let i(r) = 9*r + r**2 + 6*r**3 + 3*r**3 - 6*r**3 + 3. Let l(q) = -i(q) + 4*w(q). Let l(n) = 0. What is n?
-1, 3
Let v be 7 - (980/(-21))/(-7). Let c(q) be the second derivative of 0 - 4*q**2 + v*q**4 + 7*q + 2/3*q**3. Factor c(x).
4*(x - 1)*(x + 2)
Suppose 3*s + 12 = -4*v + 20, s = 0. Let z(p) be the second derivative of -8*p + 0*p**3 + 1/4*p**4 + 0*p**v + 3/20*p**5 + 0. Factor z(n).
3*n**2*(n + 1)
Let h(z) be the third derivative of 11*z**6/48 - 63*z**5/8 - 205*z**4/12 + 15*z**3 - z**2 - 51*z. Determine y, given that h(y) = 0.
-1, 2/11, 18
Let p(i) = -i**3 + 4*i**2 - i - 3. Let w be p(3). Let -d**w + 66*d + 65*d - 130*d = 0. What is d?
-1, 0, 1
Let y = -7 + 9. Suppose y*x + 6 = 4*x. Factor 33*n**2 + 4 - 4 + 2*n**x - 31*n**2.
2*n**2*(n + 1)
Let b(z) be the third derivative of -7*z**5/60 - 7*z**4/24 - 7*z**2. Let a(t) = -t**2 - t. Let q(h) = -2*a(h) + b(h). Factor q(n).
-5*n*(n + 1)
Let t = 1451 + -1442. Let p(k) be the first derivative of -13/2*k**2 - k**3 - t - 4*k. Factor p(q).
-(q + 4)*(3*q + 1)
Let r(q) be the third derivative of 4*q**5/135 - 13*q**4/108 - 2*q**3/9 + 2*q**2 + 175. Determine w, given that r(w) = 0.
-3/8, 2
Let x(r) be the third derivative of -11*r**6/120 + r**5/5 - r**4/24 - 29*r**2 - r. Solve x(l) = 0 for l.
0, 1/11, 1
Suppose -3*z = -2*y - 2 - 17, 0 = 2*y + 4*z + 26. Let m(o) = o + 14. Let t be m(y). Factor 15*f**2 + 5*f**t - 2*f**3 + 9 - 2*f + f + 22*f.
3*(f + 1)**2*(f + 3)
Let g(f) = f**3 - f**2 - 8*f + 12. Let c be g(3). Let o(q) be the second derivative of 0*q**2 + 1/54*q**4 + 0 - 2/27*q**3 - c*q. Factor o(m).
2*m*(m - 2)/9
Solve -779*s + 36*s**4 + 4*s**2 - 600 + 127*s + 156*s**3 + 32*s = 0 for s.
-3, -5/3, 2
Suppose -2*r**4 + 88/5*r**2 - 128/5 + 16/5*r**3 - 64/5*r - 2/5*r**5 = 0. What is r?
-4, -1, 2
What is b in 27*b**2 - 90*b + 315 + 32*b**2 - 91*b**2 + 27*b**2 = 0?
-21, 3
Let o(x) be the third derivative of 1/672*x**8 - 12*x**2 + 0*x**7 + 0 + 0*x**5 + 0*x - 1/240*x**6 + 0*x**4 + 0*x**3. Determine t so that o(t) = 0.
-1, 0, 1
Factor 2*m**2 + 8/11*m**3 + 12/11*m + 0 - 2/11*m**4.
-2*m*(m - 6)*(m + 1)**2/11
Let k(n) be the second derivative of -n**7/84 + n**6/5 - 11*n**5/10 + 19*n**4/12 + 15*n**3/4 - 25*n**2/2 + 12*n + 13. Suppose k(c) = 0. What is c?
-1, 1, 2, 5
Determine p so that -2*p**2 + 2/3*p**3 + 0 + 4/3*p = 0.
0, 1, 2
Let t(g) be the first derivative of 2/39*g**3 - 1/13*g**2 - 15 + 0*g. Find b, given that t(b) = 0.
0, 1
Solve -369603/5*s**2 - 12/5 - 4212/5*s = 0 for s.
-2/351
Let t = 26273 + -26268. Suppose 20/11*p**2 + 12/11*p**4 - 6/11*p - 24/11*p**3 - 2/11*p**t + 0 = 0. What is p?
0, 1, 3
Let d(x) = x**3 + 7*x**2 + 8*x + 8. Let r be d(-6). Let p be ((-754)/24)/(-13) + (-1)/r. Factor 1/3 - p*m + 16/3*m**2.
(4*m - 1)**2/3
Let a be (-40)/(-16) - 3/6. Let f be (-3)/((-9)/(-1))*-6. Let -2*t**2 + 4*t + 4*t**2 + f*t**a = 0. Calculate t.
-1, 0
Let b(h) be the second derivative of -h**4/18 - 110*h**3/9 - 3025*h**2/3 + 245*h. Factor b(x).
-2*(x + 55)**2/3
Factor -38*d**3 - 2*d**5 + 17*d**4 - 32*d - 7043 + 50*d**2 - 3*d**4 + 7051.
-2*(d - 2)**2*(d - 1)**3
Let u(r) be the first derivative of r**6/10 + 9*r**5/20 - 3*r**4/2 - 14*r**3 - 36*r**2 - 16*r + 6. Let q(g) be the first derivative of u(g). Factor q(w).
3*(w - 3)*(w + 2)**3
Let x(w) = -2*w**4 - 40*w**3 - 277*w**2 - 840*w - 882. Let k(a) = a**4 + 20*a**3 + 139*a**2 + 420*a + 441. Let t(s) = -7*k(s) - 3*x(s). Factor t(j).
-(j + 3)**2*(j + 7)**2
Let y(j) be the third derivative of j**5/80 - 9*j**4/16 + 81*j**3/8 - j**2 + 57. Factor y(g).
3*(g - 9)**2/4
Factor 2/7*k**2 + 0 + 190/7*k.
2*k*(k + 95)/7
Let o(l