 -7*y**4 - 25*y**3 - 11*y**2 + 25*y + 6. Let x(q) = -5*f(q) + 6*i(q). Factor x(m).
5*m*(m - 5)*(m - 1)*(m + 1)
Let n(f) be the first derivative of -f**2 + 22/15*f**3 - 2/5*f**4 + 17 - 4/5*f. Solve n(z) = 0.
-1/4, 1, 2
Let q(d) = -15*d**2 + 24*d - 24. Let i(r) = 17*r**2 + 3 + 9 - 12*r - 10*r**2. Let v(m) = -9*i(m) - 4*q(m). Solve v(j) = 0.
2
Let f = -8852/1067 - -9274183/1018985. Let d = -1/191 + f. Let d*i**2 + 6/5*i**3 + 0*i + 0 = 0. Calculate i.
-2/3, 0
Let j = -7643 - -7646. Factor j*v**2 - 15/2*v + 3/2*v**5 + 3 - 6*v**4 + 6*v**3.
3*(v - 2)*(v - 1)**3*(v + 1)/2
Let f(t) = -35*t**3 + 126*t**2 + 207*t + 46. Let a(q) = -12*q**3 + 42*q**2 + 69*q + 15. Let w(i) = -8*a(i) + 3*f(i). Factor w(g).
-3*(g - 6)*(g + 1)*(3*g + 1)
Let f(y) be the third derivative of -y**7/70 - 3*y**6/20 + 3*y**5/20 + 2*y**4 - 6*y**3 - 2*y**2 + 15. Factor f(r).
-3*(r - 1)**2*(r + 2)*(r + 6)
Suppose -4*m + 13*n - 15*n = -18, 18 = 2*n. Determine u, given that m + 14/9*u**2 + 2/9*u = 0.
-1/7, 0
Let w(m) be the second derivative of -25*m**4 + 170*m**3 - 867*m**2/2 - 792*m. Factor w(x).
-3*(10*x - 17)**2
Let y(o) be the first derivative of -3*o**4/8 - 3*o**3/2 + 3*o**2/4 + 9*o/2 + 24. Factor y(c).
-3*(c - 1)*(c + 1)*(c + 3)/2
Let m be 2/(-33) + 91/231. Factor 1/3*k - 2/3*k**2 + m.
-(k - 1)*(2*k + 1)/3
Suppose 4*v - 9 = n, -2*n = 3*v + 2*n - 21. Suppose 0 - v = -a. Factor p - 1/4*p**a + 0 + 0*p**2.
-p*(p - 2)*(p + 2)/4
Suppose -d + 7*a = 3*a + 14, d - 10 = -2*a. Suppose 4 = d*f - 2*n, 4*f + 0*n - 5*n - 8 = 0. Factor -15*o - 6*o**2 + 6*o**2 + 5*o**f + 10.
5*(o - 2)*(o - 1)
Let j(h) be the first derivative of 0*h - 8 - 2/19*h**2 + 3/38*h**4 + 10/57*h**3. Factor j(b).
2*b*(b + 2)*(3*b - 1)/19
Let l(h) be the third derivative of 8*h**5/105 - 6*h**4/7 + 27*h**3/7 + 9*h**2. Factor l(g).
2*(4*g - 9)**2/7
Let a(u) be the third derivative of 32/105*u**5 - 6/7*u**3 - 29/28*u**4 + 16*u**2 - 11/420*u**6 + 0*u + 0. Determine p, given that a(p) = 0.
-2/11, 3
What is h in 4 - 1 - 3 + 5*h**3 + 25*h**2 + 6*h + 14*h = 0?
-4, -1, 0
Factor 8/15*d**2 + 2/15*d - 4/5 + 2/15*d**3.
2*(d - 1)*(d + 2)*(d + 3)/15
Let d(k) be the third derivative of k**7/210 - k**6/24 + 2*k**5/15 - k**4/6 + 68*k**2. Factor d(s).
s*(s - 2)**2*(s - 1)
Let h = -473/2 - -237. Let w(p) be the second derivative of 0 + 1/3*p**3 - 3*p - 1/12*p**4 - h*p**2. Factor w(g).
-(g - 1)**2
Let l(a) = a**3 - 6*a**2 - 3*a + 9. Let m be l(7). Suppose -5*v + m - 12 = 0. Find d, given that d**4 + 1 + 2*d**3 - d**v - 1 - 2*d**5 = 0.
-2/3, 0, 1
Let a(w) be the third derivative of 5*w**2 - 1/4*w**3 + 0*w - 1/160*w**6 + 0 + 1/32*w**4 + 1/40*w**5. Suppose a(u) = 0. What is u?
-1, 1, 2
Let y(d) = 31 + 24*d + 9 + 7*d + d**2. Let k(x) be the first derivative of x**3/3 + 8*x**2 + 20*x + 396. Let h(q) = -9*k(q) + 4*y(q). Factor h(i).
-5*(i + 2)**2
Let m(u) = -u**3 + 17*u**2 + 16*u + 40. Let f be m(18). Factor f*x**2 + x - 2*x + x.
4*x**2
Let u(q) be the second derivative of 0*q**3 + 0*q**2 - 1/30*q**4 + 1/50*q**5 - 1/105*q**7 + 1/75*q**6 + 26*q + 0. Determine v so that u(v) = 0.
-1, 0, 1
Let q(n) be the third derivative of n**5/75 + 149*n**4/15 + 44402*n**3/15 + 9*n**2 + 8*n. Factor q(d).
4*(d + 149)**2/5
Let p be (36/(-28))/(-9) - 927/(-567). Determine x so that 20/9*x**2 + p - 14/3*x**4 - 58/9*x**3 + 8*x - 8/9*x**5 = 0.
-2, -1/4, 1
Let c(u) be the first derivative of -u**5/20 + 3*u**4/16 + u**3/4 - 7*u**2/8 - 3*u/2 - 425. Let c(a) = 0. What is a?
-1, 2, 3
Solve 70 + 47*b**3 + 55*b - 70*b**2 - 60*b - 42*b**3 = 0 for b.
-1, 1, 14
Let f be 3/((-3)/5) + 5. Let r(o) be the first derivative of -1/27*o**6 - 1/2*o**4 - 2/9*o**2 + f*o + 1 - 14/27*o**3 - 2/9*o**5. Suppose r(v) = 0. What is v?
-2, -1, 0
Let q be (-32)/(1 - 2 - 1). Let d be q/(-24)*(-1)/2. Factor -2/3*t + 2/3*t**3 + d*t**4 + 0*t**2 - 1/3.
(t - 1)*(t + 1)**3/3
Let q be (-3)/36*(-8 + 2 + -2). Let x(f) be the third derivative of 4*f**2 + 1/4*f**4 - 1/30*f**5 + 0 - 1/20*f**6 + 0*f + q*f**3 - 1/105*f**7. Factor x(d).
-2*(d - 1)*(d + 1)**2*(d + 2)
Let x(u) be the second derivative of u**9/45360 + u**8/20160 - 2*u**4/3 - 16*u. Let c(w) be the third derivative of x(w). Solve c(h) = 0.
-1, 0
Solve 5*y**4 - 75/2*y**3 + 175/2*y**2 - 75*y + 20 = 0.
1/2, 1, 2, 4
Factor -l**5 + 4/3*l**2 + 0 + 0*l - 11/3*l**4 - 8/3*l**3.
-l**2*(l + 2)**2*(3*l - 1)/3
Factor 94040 - 16*r**3 + 0*r**2 + r**4 - 94040 - 36*r**2.
r**2*(r - 18)*(r + 2)
Let m(n) = n**2 + 4*n - 1. Suppose 61*r - 63*r = 10. Let u be m(r). Let 2/3*d**3 + 0 + 2/3*d**u - 2/3*d**5 + 0*d - 2/3*d**2 = 0. What is d?
-1, 0, 1
Let m be -1 - ((-85)/68)/(2/8). Let s(v) be the first derivative of 0*v - 1/2*v**3 - 6 + 0*v**2 + 3/4*v**m. Find c, given that s(c) = 0.
0, 1/2
Suppose -5*y + 20 = -4*o + 3, 2*o - 4*y = -16. Factor -5 + 2*i - o*i**3 + 4*i**3 - 12 + 8*i**2 + 5.
2*(i - 1)*(i + 2)*(i + 3)
Let d(g) be the third derivative of g**5/80 + 9*g**4/32 - 5*g**3/4 - 152*g**2 + g. Factor d(l).
3*(l - 1)*(l + 10)/4
Let -z**2 + 425 - 4*z**2 + 0*z**2 + 305*z - 115 = 0. Calculate z.
-1, 62
Let x(n) = -2 + 0*n - 3*n + 0 - 8. Let u be x(-4). Factor -8 + 29*q - q**u - 9*q**2 + 2*q**3 + 0*q**2 - 13*q.
2*(q - 2)**2*(q - 1)
Let o(z) be the second derivative of z**6/15 - 3*z**5/10 - 5*z**4/6 + z**3 + 4*z**2 - 17*z + 2. Factor o(y).
2*(y - 4)*(y - 1)*(y + 1)**2
Let t(o) be the third derivative of -o**6/180 + o**4/12 - 7*o**3/2 + 19*o**2. Let r(c) be the first derivative of t(c). Determine n, given that r(n) = 0.
-1, 1
Factor -19/5*b + 4/5*b**2 + 14/5 + 1/5*b**3.
(b - 2)*(b - 1)*(b + 7)/5
Let v(g) be the first derivative of -3*g**4/4 - 156*g**3 - 12168*g**2 - 421824*g - 508. Factor v(p).
-3*(p + 52)**3
Let u(x) be the third derivative of 1/70*x**7 + 0*x**3 + 0 - 25*x**2 + 7/40*x**6 + 0*x + x**4 + 7/10*x**5. Suppose u(j) = 0. Calculate j.
-4, -2, -1, 0
Let d(u) = -u**3 + 6*u**2 - 5*u. Let l be d(5). Suppose 5*n - 2*n - 2*k = 6, 0 = -3*k. Suppose 3/4*t**3 - t - t**n + l = 0. Calculate t.
-2/3, 0, 2
Suppose 909 - 955 = -23*t. Factor -1 - 1/4*x**t + 5/4*x.
-(x - 4)*(x - 1)/4
What is p in -4606*p - 5*p**3 + 3*p**3 + 30688*p**2 - 30494*p**2 - 4802 = 0?
-1, 49
Let y(b) be the first derivative of 3/16*b**4 + 0*b + 3/20*b**5 - 1/4*b**3 - 3/8*b**2 + 16. Find z such that y(z) = 0.
-1, 0, 1
Let v be (-8)/(-20) + 48/30. Factor -11*x**v + 8*x - 13*x**2 - 4*x**2.
-4*x*(7*x - 2)
Determine g, given that -45/2*g**2 - 16*g + 81/2*g**3 - 2 = 0.
-2/9, 1
Let o be 27/(-18)*(-136)/(-6). Let v be (7 + -1)*o/(-663). Solve 2/13*p**2 + 2/13*p - v = 0 for p.
-2, 1
Let d be ((-76)/(-14) - 1) + (-303)/707. Suppose -2*o - d = 2*h, -3*o - 5*h = -9 + 23. Factor -1/6*b**3 + 5/6*b**o - 7/6*b + 1/2.
-(b - 3)*(b - 1)**2/6
Let k = -7111 - -7113. Determine o, given that o**4 - 1/2*o + 0 + 1/2*o**5 + 0*o**3 - o**k = 0.
-1, 0, 1
Let o(f) be the third derivative of -f**5/120 + 91*f**4/48 - 15*f**3/2 - 283*f**2. Factor o(g).
-(g - 90)*(g - 1)/2
Let k(i) be the third derivative of -i**6/1260 + 8*i**5/315 + 5*i**4/36 + 2*i**3/7 - 209*i**2. Let k(n) = 0. What is n?
-1, 18
Suppose -3*t + 2*i = 9 - 22, 3*t + 5*i - 20 = 0. Let d = t - 5. Suppose 0*m + 0*m**2 - 2/7*m**5 + d*m**3 + 2/7*m**4 + 0 = 0. What is m?
0, 1
Let d(q) = -4*q**5 - 5*q**2 + 0*q**3 + 6 + 3*q**5 + 10*q + 3*q**3 + 23*q**4 - 12*q**4. Let y(l) = l**4 + l**3 + l + 1. Let v(h) = -d(h) + 6*y(h). Factor v(k).
k*(k - 4)*(k - 1)**2*(k + 1)
Let v(x) be the first derivative of -2/7*x**2 - 40 - 2/7*x - 2/21*x**3. Factor v(q).
-2*(q + 1)**2/7
Let r(z) be the third derivative of -23*z**2 + 0 - 37/12*z**4 - 3*z**3 - 2/15*z**5 + 0*z. Factor r(q).
-2*(q + 9)*(4*q + 1)
Let j(m) be the first derivative of m**6/8 - 9*m**5/5 + 159*m**4/16 - 55*m**3/2 + 81*m**2/2 - 30*m + 161. Determine f so that j(f) = 0.
1, 2, 5
Let h(s) = -5*s**2 + 14*s - 5. Let j(i) = 45*i**2 - 125*i + 45. Suppose -5*u + 0*o + 40 = 5*o, 0 = 4*o - 16. Let q(a) = u*j(a) + 35*h(a). Factor q(m).
5*(m - 1)**2
Suppose -4*r - 48 = -5*f - 2*r, 12 = f - r. Let y be -3*f/(-3) + 2. What is t in y*t - 8*t + 6 + 7*t + 3*t**2 = 0?
-2, -1
Factor 16/3 + 1/3*m**4 - 12*m - 3*m**3 + 28/3*m**2.
(m - 4)*(m - 2)**2*(m - 1)/3
Let h = 3/5053 + 15153/10106. Suppose t**4 + 3/2*t**3 - 1/2*t**2 - 1/2 - h*t = 0. Calculate t.
-1, -1/2, 1
Factor 192*b + 251*b**3 + 3*b**4 - 120*b**3 + 204*b**2 - 71*b**3.
3*b*(b + 2)**2*(b + 16)
Factor -92*t**4 -