g - 5. Solve -1/3*i**t + 0*i**2 - 2/3 + i = 0.
-2, 1
Let a(r) be the second derivative of -r**4/10 + 12*r**2/5 + 172*r. Find w such that a(w) = 0.
-2, 2
Determine q, given that 3*q**4 + 50*q**3 - 78*q**3 + 40*q**3 + 12*q**2 = 0.
-2, 0
Let p(i) be the first derivative of i**3 - 12*i - 6 + 9/2*i**2. Find f such that p(f) = 0.
-4, 1
Suppose -9*y - 5 = -5*q - 4*y, 3*q + 5*y - 11 = 0. Let r = -512 - -3073/6. What is t in 0 + 1/3*t - r*t**q = 0?
0, 2
Suppose -8*w**2 - 1/2*w**3 - 40 + 38*w = 0. What is w?
-20, 2
Let w(l) = -3*l**3 + 40*l**2 - 11*l - 26. Let j(n) = -2*n - 1. Let c be j(-7). Let h be w(c). Factor 4/3*f**2 - 2/3*f**4 + 2/3*f**3 + 0*f + h.
-2*f**2*(f - 2)*(f + 1)/3
Let k(v) be the first derivative of 2/7*v + 13 + 1/21*v**3 + 3/14*v**2. Factor k(q).
(q + 1)*(q + 2)/7
Let t(d) be the third derivative of d**8/84 + d**7/56 - d**6/72 + d**3/2 + 7*d**2. Let m(j) be the first derivative of t(j). Factor m(y).
5*y**2*(y + 1)*(4*y - 1)
Let q(g) = -g - 38. Let x be q(8). Let p = 48 + x. Solve -3/2*b**3 + 0*b + 0 + 3/2*b**p = 0 for b.
0, 1
Let a = -2 - -2. Suppose a = 5*p - 2*j - 10, -5*j + 4 = -4*p - j. Factor 4*w**2 - 12*w**3 + 4*w**2 + 4*w**4 + 12*w - p*w**2 - 8.
4*(w - 2)*(w - 1)**2*(w + 1)
Let y(w) be the first derivative of -w**2 + 1/180*w**6 + 2/9*w**3 + 0*w + 3 + 0*w**5 - 1/12*w**4. Let f(z) be the second derivative of y(z). Solve f(v) = 0.
-2, 1
Let u = -13 - -17. Find b such that u - b - 89*b**3 + 81*b**3 + 9*b - 4*b**4 = 0.
-1, 1
Let o = 6 + -31. Let k = 29 + o. Solve 5*l**3 + 11*l + 1 + 2*l + 2*l + k + 15*l**2 = 0.
-1
Let g(i) be the third derivative of -1/225*i**6 + 0*i + 0*i**3 - 21*i**2 - 1/90*i**5 + 0 - 1/90*i**4 - 1/1575*i**7. Let g(n) = 0. Calculate n.
-2, -1, 0
Factor 18*p**4 - 8*p**3 + 72*p**2 + 80*p + 36*p**3 + 53 - 14*p**4 - 21.
4*(p + 1)*(p + 2)**3
Let u(g) be the third derivative of g**8/1344 - g**7/42 + g**6/3 - 8*g**5/3 + g**4/12 - 32*g**2. Let a(l) be the second derivative of u(l). Factor a(y).
5*(y - 4)**3
Let r be ((-4)/(-64))/((-3)/(-6)). Let h(b) be the first derivative of 0*b + 0*b**2 + 0*b**3 - r*b**4 + 3 + 1/10*b**5. Determine o, given that h(o) = 0.
0, 1
Suppose 160*o - 35*o = 157 + 93. Factor 1/4*a**o + 3/4*a + 0.
a*(a + 3)/4
Let f(m) = 25*m + 80. Let i be f(6). Let p = -228 + i. What is j in -1/9*j**3 - 1/9*j**p + 0 + 0*j = 0?
-1, 0
Let a(k) be the first derivative of -k**3/3 - 5*k**2 + 64. Factor a(o).
-o*(o + 10)
Factor 0*f + 7/6*f**3 + 0 - 1/6*f**4 - 2*f**2.
-f**2*(f - 4)*(f - 3)/6
Let j = -12977 - -90849/7. Factor -8/7*u**2 - 2/7*u**3 - 4/7 - j*u.
-2*(u + 1)**2*(u + 2)/7
Let q be (3/(-2))/(1225/(-1050)). Factor 6/7*n - q + 3/7*n**2.
3*(n - 1)*(n + 3)/7
Determine i so that 3/5*i**3 + 18/5*i**2 - 6 + 9/5*i = 0.
-5, -2, 1
Let z(k) be the second derivative of -k**7/1260 - k**6/540 - 2*k**4/3 + 3*k. Let o(v) be the third derivative of z(v). Suppose o(b) = 0. Calculate b.
-2/3, 0
Suppose -61 = -4*s + 5*o, -5*s - 4*o + 73 = 7. Suppose h = 5*t + s, 5*t + 0 - 2 = -3*h. Factor 6*n**h - 2*n**2 - 2*n**2 - 2*n**4.
4*n**2*(n - 1)*(n + 1)
Let p(w) = 10*w - 16. Let i be p(1). Let r be (12 - 8)/((-28)/i). Find g, given that r*g**2 + 2/7 + 6/7*g + 2/7*g**3 = 0.
-1
Factor -9*m**2 + 784796*m**4 + 78*m - 33*m**3 - 784793*m**4 + 9*m**3 - 48.
3*(m - 8)*(m - 1)**2*(m + 2)
Let g(m) be the third derivative of -m**6/40 - m**5/4 - 3*m**4/4 + 2*m**2 + 145. Factor g(x).
-3*x*(x + 2)*(x + 3)
Let r(i) be the third derivative of -i**8/84 + i**7/30 + i**6/60 - 2*i**5/15 + i**4/12 + i**3/6 - 3*i**2 + 9*i. Determine u so that r(u) = 0.
-1, -1/4, 1
Suppose -5*z + 22 = 2*h, 0*z - 2*z + 12 = 4*h. Let j be ((-3)/z)/(2 + 14/(-4)). Find g such that -1/2*g**3 + g + 0 + j*g**2 = 0.
-1, 0, 2
Let w be (-15)/(-9)*1*81/45. Let b(t) be the first derivative of 1/4*t**2 - 5 - t + 1/6*t**w. Determine g, given that b(g) = 0.
-2, 1
Factor 40*c + 48 + 2/3*c**3 + 28/3*c**2.
2*(c + 2)*(c + 6)**2/3
Let d(v) be the third derivative of -2/15*v**5 - 1/30*v**6 + 0*v + v**2 + 1/6*v**4 + 4/3*v**3 + 0. Solve d(k) = 0 for k.
-2, -1, 1
Let y(q) be the second derivative of -1/90*q**4 - 1/5*q**2 + 10*q + 2 + 4/45*q**3. Factor y(v).
-2*(v - 3)*(v - 1)/15
Let i(s) = -s**3 - 10*s**2 + 13*s + 37. Let x be i(-11). Factor 5 + 23 - x*z + 3*z**2 - 10.
3*(z - 3)*(z - 2)
Let p(w) = -w**2 + w. Let x(g) = -3*g**2 - 72*g + 48. Let c(s) = -6*p(s) - x(s). Solve c(r) = 0 for r.
-8, 2/3
Let s(f) = f**3 - f**2 - f - 1. Let m(t) = -t**3 - t**2 + t - 1. Let p(w) = 2*m(w) - 2*s(w). Find c such that p(c) = 0.
-1, 0, 1
Find l, given that 2649/5*l**2 + 63/5*l**3 + 516/5 - 2568/5*l = 0.
-43, 2/7, 2/3
Let t(u) be the first derivative of 4*u**5/35 + u**4 + 64*u**3/21 + 24*u**2/7 - 86. Factor t(l).
4*l*(l + 2)**2*(l + 3)/7
Let w(r) be the third derivative of r**5/12 - 25*r**4/6 - 2*r**2 + 179*r. Determine j, given that w(j) = 0.
0, 20
Let q(x) be the first derivative of x**3 - 9*x**2/2 + 6*x + 46. Suppose q(m) = 0. What is m?
1, 2
Let o(c) be the second derivative of -1/84*c**4 + 30*c - 1/21*c**3 + 4/7*c**2 + 0. What is n in o(n) = 0?
-4, 2
Let n(u) = -10*u**2 + 29*u + 9. Suppose -p + 6 = -7*p. Let m(j) = j - 1. Let v(s) = p*n(s) + 3*m(s). Find h, given that v(h) = 0.
-2/5, 3
Let x(o) = -3*o**4 + 5*o**3 - 6*o**2 + 4*o - 4. Let i(q) = 31*q**2 + 9 - 9*q + 7*q**4 + 23*q**3 - 18*q**2 - 34*q**3. Let j(r) = 4*i(r) + 9*x(r). Factor j(f).
f**2*(f - 1)*(f + 2)
Let y be 6/2 - 108/9. Let u(f) = f**3 + 10*f**2 + 10*f + 12. Let a be u(y). Determine d so that -4*d**2 - 15*d**3 - 5*d**2 + d + d + 19*d**a = 0.
0, 1/4, 2
Let n(z) be the first derivative of -z**3/3 + 121*z**2 - 14641*z - 682. Factor n(q).
-(q - 121)**2
Suppose h + 0 - 1/3*h**2 = 0. Calculate h.
0, 3
Let p be 2 - 3*1*368/(-48). Factor -p*a + 6 + 117*a**2 - 41*a - 105*a**3 + 33*a**4 + 15*a.
3*(a - 1)**3*(11*a - 2)
Let m(x) be the third derivative of -x**6/180 + x**5/10 - 23*x**4/36 + 5*x**3/3 - 10*x**2. Solve m(j) = 0.
1, 3, 5
Let i(t) be the second derivative of t**7/882 + t**6/360 + t**5/420 - 5*t**4/3 - 7*t. Let w(b) be the third derivative of i(b). Factor w(d).
2*(2*d + 1)*(5*d + 1)/7
Let a(v) be the first derivative of v**5/15 + 11*v**4/12 + 11*v**3/3 + 37*v**2/6 + 14*v/3 + 182. Factor a(h).
(h + 1)**2*(h + 2)*(h + 7)/3
Factor -567*d**2 + 78*d**3 + 18*d**4 - 27 - 324*d - 20*d**4 - 42*d**3 + 110*d**4 - 402*d**2.
3*(d - 3)*(d + 3)*(6*d + 1)**2
Solve 12/19*l**2 + 2/19*l**3 - 14/19*l + 0 = 0.
-7, 0, 1
Suppose -4*g + 4*s + 57 - 9 = 0, 0 = -4*g - 2*s + 72. Factor 4 + 4*o - 9*o - g*o + 10*o**2 - o.
2*(o - 2)*(5*o - 1)
Let q = -18397/6 + 3067. Factor -2/3*n**3 + q*n - 1/3*n**2 - 1/3 - 1/6*n**5 + 2/3*n**4.
-(n - 2)*(n - 1)**3*(n + 1)/6
Let z(q) be the third derivative of -1/720*q**6 + q**3 - q**2 + 0*q**5 + 0 + 0*q + 0*q**4. Let k(u) be the first derivative of z(u). Factor k(i).
-i**2/2
Let j be 10/(-8)*16/(-4). Suppose -k - 3*k**2 + 2*k**4 - 3 + 0*k + j + k**3 - k**4 = 0. What is k?
-2, -1, 1
Let x be (-10)/(-14)*32/10. Let i = 45012/7 - 6430. Factor -8/7 - i*l**3 - 10/7*l**2 - x*l.
-2*(l + 1)*(l + 2)**2/7
Let m(c) be the second derivative of -c**6/30 - c**5/5 - c**4/3 - 31*c + 3. Suppose m(j) = 0. Calculate j.
-2, 0
Let u = -301 + 303. Let o(g) be the first derivative of 1/3*g**3 - 1/2*g**u - 7 - 1/12*g**4 + 1/3*g. Find l, given that o(l) = 0.
1
Let j(x) be the third derivative of -1/12*x**5 - 5/32*x**4 + 0 + 0*x + 23*x**2 + 0*x**3 - 1/96*x**6. Factor j(c).
-5*c*(c + 1)*(c + 3)/4
Let o(s) be the third derivative of -s**5/12 - 20*s**4/3 - 40*s**2. Suppose o(b) = 0. What is b?
-32, 0
Solve -4*r**5 - 292/5*r - 456/5*r**3 + 172/5*r**4 + 12 + 536/5*r**2 = 0.
3/5, 1, 5
Let y be (15/(-2) + -27 + 35)*0. Factor -6/7*f**2 + 9/7*f - 3/7*f**3 + y.
-3*f*(f - 1)*(f + 3)/7
Factor -4*m**3 + 13 - 11*m**3 - 1 - 14*m + 51*m**2 - 34*m.
-3*(m - 2)*(m - 1)*(5*m - 2)
Factor -8*h + 9*h**2 + 9*h**2 + 3*h**3 + 35*h.
3*h*(h + 3)**2
Let o(y) = -5*y**2 - 9*y. Let l(d) = 5*d**2 + 13*d + 5. Let i(z) = 16*z**2 + 40*z + 14. Let v(p) = -4*i(p) + 11*l(p). Let f(x) = -7*o(x) + 4*v(x). Factor f(n).
-(n + 1)*(n + 4)
Factor -64891*q**2 + 139*q**4 - q**5 - 415*q**4 + 16223*q**2 + 5*q**5 + 6161*q**3 + 187*q**3.
4*q**2*(q - 23)**3
Let a(p) be the second derivative of p**5/140 + p**4/56 - 11*p**2/2 - 14*p. Let r(g) be the first derivative of a(g). Determine k so that r(k) = 0.
-1, 0
Let a be (-30