actor -m*g**3 + 0 - 2/7*g**4 + 2/7*g**2 + 4/7*g.
-2*g*(g - 1)*(g + 1)*(g + 2)/7
Let l be 6 + (-14)/2 + 6. Let w(t) be the third derivative of -6*t**2 + 0*t + 0*t**3 + 1/54*t**4 + 0 - 1/270*t**l. Factor w(j).
-2*j*(j - 2)/9
Suppose x + 28 = 8*x. Factor 65*c**4 - 3*c**2 + 12*c**3 + 21*c**2 - 63*c**x.
2*c**2*(c + 3)**2
Let h = 739995/17 - 43529. Find t, given that 16/17*t**2 - 32/17 - 2/17*t**4 + h*t**5 - 16/17*t**3 + 32/17*t = 0.
-2, 1, 2
Let i be (-5 + (-66)/(-10))*-160 - 2. Let g = -256 - i. Factor -2/5 + 8/15*v - 2/15*v**g.
-2*(v - 3)*(v - 1)/15
Let u(o) be the second derivative of -o**6/80 + 369*o**5/160 - 5043*o**4/32 + 68921*o**3/16 - 273*o. Factor u(f).
-3*f*(f - 41)**3/8
Suppose 2*a + 680*z - 3 = 677*z, -2*z + 4 = 2*a. Let c = 675/4 + -168. What is r in -a*r - 3*r**3 + 3/4 + 9/2*r**2 + c*r**4 = 0?
1
Let i be 2/(-41) - 11862/(-1107). Suppose i*w**2 + 28/3*w**3 + 6*w + 4/3 + 2/3*w**5 + 4*w**4 = 0. What is w?
-2, -1
Let o = 2498/9255 - 2/617. Suppose 0 = -f + 4*f. Suppose 2/15*u**3 + 2/5*u**2 - o*u - 2/5*u**4 + f + 2/15*u**5 = 0. What is u?
-1, 0, 1, 2
Let j(l) = -l**2 - 4*l + 15. Let a(w) = 2*w**2 + 11*w - 30. Let m(s) = -2*a(s) - 5*j(s). Find f such that m(f) = 0.
-3, 5
Let p(k) be the third derivative of -13*k**2 + 0*k**4 + 1/24*k**6 + 0*k**5 + 0*k**3 + 0*k + 0. Solve p(m) = 0 for m.
0
Let p be (-112)/147*(-49)/42. Let b(i) be the first derivative of -p*i - 2/9*i**3 - 8/9*i**2 - 2. Let b(f) = 0. Calculate f.
-2, -2/3
Let k(y) be the third derivative of -y**8/560 + y**7/280 + y**6/40 - y**5/40 - y**4/4 - 4*y**3 - 19*y**2. Let h(d) be the first derivative of k(d). Factor h(t).
-3*(t - 2)*(t - 1)*(t + 1)**2
Suppose 5*o = -4*o + 2241. Determine l so that -257 + o + 7*l + 12*l - 9*l - 2*l**2 = 0.
1, 4
Let v(l) be the second derivative of l**6/135 - l**5/15 + 22*l**3/27 + 5*l**2/3 + 571*l. Factor v(m).
2*(m - 5)*(m - 3)*(m + 1)**2/9
Let r(p) be the second derivative of -2*p**7/21 + 12*p**6/5 - 97*p**5/5 + 48*p**4 - 128*p**3/3 - 89*p. Factor r(k).
-4*k*(k - 8)**2*(k - 1)**2
Let v(n) be the second derivative of -n**6/150 - n**5/20 - n**4/15 - 3*n - 11. Factor v(b).
-b**2*(b + 1)*(b + 4)/5
Let k(o) be the first derivative of 13 - o**2 + 1/3*o**3 + 0*o. Find g such that k(g) = 0.
0, 2
Let v(y) be the second derivative of -7*y - 2/7*y**2 + 1/21*y**4 + 0*y**3 + 0. Let v(u) = 0. What is u?
-1, 1
What is g in 745*g + 31*g**4 - 2279*g + 35*g**3 - 25*g**2 + 756*g - 6 + 6*g**5 + 737*g = 0?
-3, -2, -1, -1/6, 1
Let d(o) be the third derivative of -o**6/960 + 19*o**5/480 - 35*o**4/192 + 17*o**3/48 - 6*o**2 - 3*o. Find h such that d(h) = 0.
1, 17
Let j(c) = 2*c**2 + c + 4. Let f be j(0). Factor 20*x - 13 + 3 + x**2 + 3*x**2 - f*x**3 + 22.
-4*(x - 3)*(x + 1)**2
Let t(u) = -9*u**3 + 28*u**2 - 45*u + 10. Let j(o) = 3*o**3 - 9*o**2 + 15*o - 3. Let a(v) = 8*j(v) + 3*t(v). Let a(m) = 0. What is m?
1, 2
Let u be ((-12)/5)/(27/(-180)). Let x = u + -14. Factor 15 + 2*f**4 - x*f - 17 - 4*f**3 + 6*f.
2*(f - 1)**3*(f + 1)
Let m(f) be the third derivative of f**8/20160 + f**7/1260 + f**6/240 - f**5/6 + 3*f**2. Let a(u) be the third derivative of m(u). Solve a(g) = 0 for g.
-3, -1
Factor -4*h**3 + 62 - 62 - 16*h + 8*h**3.
4*h*(h - 2)*(h + 2)
Let h(a) be the first derivative of a**5/5 - 5*a**4/4 - 2*a**3 - 239. What is d in h(d) = 0?
-1, 0, 6
Let o be 31 + -29 - (0 + -2). Let y(w) be the second derivative of -o*w - 1/12*w**4 + 0 + 0*w**2 + 1/6*w**3. Find u such that y(u) = 0.
0, 1
Let m = 9 + -7. Factor 9*t - 11 - 7 - 3*t**m + 12.
-3*(t - 2)*(t - 1)
Factor -4/3*a**2 + 4/3*a**3 + 0 - 8/3*a.
4*a*(a - 2)*(a + 1)/3
Let p(s) be the third derivative of -18*s**7/35 + 56*s**6/5 - 3352*s**5/45 + 224*s**4/3 - 32*s**3 + 26*s**2. What is h in p(h) = 0?
2/9, 6
Suppose h**2 - 30*h**3 + 1 + 29*h**3 + h**2 + h - 3 = 0. What is h?
-1, 1, 2
Solve 333/2*r + 108 + 123/2*r**2 + 3/2*r**3 - 3/2*r**4 = 0.
-3, -1, 8
Let s be 45/6 + 1/2. Factor 3 + 5 + s*y + 6*y**2 - 4*y**2 + 0.
2*(y + 2)**2
Let -108/7*g**2 - 46656/7 + 3888/7*g + 1/7*g**3 = 0. Calculate g.
36
Let y(j) = -j**3 - 6*j**2 + 8*j + 5. Let u be y(-7). Let v = u + 5. Let -5*w**4 + 4 + 20*w**v - 2 + 2*w**5 + 10*w + 20*w**2 + 15*w**4 = 0. What is w?
-1
Let v(n) be the second derivative of 1/6*n**4 + 0 - n + 0*n**2 - 1/6*n**3 - 1/20*n**5. Factor v(r).
-r*(r - 1)**2
Let p(y) be the first derivative of y**4/12 + 6*y + 4. Let u(a) be the first derivative of p(a). Solve u(o) = 0.
0
Let p(c) be the second derivative of -c**4/60 - 4*c**3/5 - 23*c**2/10 - 4*c - 17. Factor p(g).
-(g + 1)*(g + 23)/5
Let y(k) = 36*k**2 + 76*k + 2. Let o(u) = -72*u**2 - 153*u - 3. Let x(h) = -2*o(h) - 5*y(h). Factor x(d).
-2*(d + 2)*(18*d + 1)
Solve -50*j - 4*j**3 + 1/2*j**4 - 26 - 57/2*j**2 = 0.
-2, -1, 13
Let i(m) be the second derivative of 4/9*m**3 + 0 - 13/54*m**4 - 1/135*m**6 + 1/15*m**5 - 4/9*m**2 - 2*m. Factor i(k).
-2*(k - 2)**2*(k - 1)**2/9
Factor -40/9*n**2 + 28/9 - 6*n.
-2*(4*n + 7)*(5*n - 2)/9
Let v be ((-7)/(-5))/((-2)/(-10)). Let b = 16 - v. Factor -b + 6*y**2 - 3*y**2 + 9 + 3*y.
3*y*(y + 1)
Let w(r) be the second derivative of r**7/210 - r**6/30 + r**5/12 - r**4/12 - 11*r**2 + 14*r. Let z(o) be the first derivative of w(o). Let z(y) = 0. What is y?
0, 1, 2
Suppose -32 = -47*i + 39*i. Let g = i - 7/2. Suppose -g*b - 1/4*b**2 + 1/4*b**3 + 0 = 0. Calculate b.
-1, 0, 2
Suppose 4*y + 5 = 29. Find z such that -z - 3*z + y*z**2 - z**2 + z**2 = 0.
0, 2/3
Suppose -8*i = -2*i - 30. Let p(b) be the second derivative of 0*b**4 + 3/100*b**i + 1/50*b**6 - 6*b + 0*b**2 + 0*b**3 + 0. Find k such that p(k) = 0.
-1, 0
Let a(n) = -n**3 - 21*n**2 - 101*n + 119. Let j(z) = z + 1. Let f(h) = -3*a(h) - 6*j(h). Factor f(u).
3*(u - 1)*(u + 11)**2
Let x(q) be the second derivative of q**6/2 + 143*q**5/4 + 940*q**4 + 9600*q**3 - 10240*q**2 + 3*q - 8. Determine f so that x(f) = 0.
-16, 1/3
Let h(s) = -3*s**2 + 30*s + 5. Suppose v + 10 = -0*v + 4*l, 4*l = 20. Let f be h(v). Determine j, given that -j**2 + 1 - 1/2*j**f + 2*j**3 - 3/2*j + 0*j**4 = 0.
-2, -1, 1
Factor 32/3*a - 2/3 - 10*a**2.
-2*(a - 1)*(15*a - 1)/3
Let n(f) be the first derivative of f**6/10 + 12*f**5/5 - 3*f**4/20 - 4*f**3 - 428. What is m in n(m) = 0?
-20, -1, 0, 1
Factor -42 + 3 - 2*h**2 - 22 + 40*h - 139.
-2*(h - 10)**2
Let h(w) be the third derivative of -w**7/70 - 11*w**6/40 - 9*w**5/20 + 11*w**4/8 + 5*w**3 - 523*w**2. Suppose h(z) = 0. What is z?
-10, -1, 1
Let x(y) = 8*y - 56. Let f be x(7). Let o(m) be the first derivative of 0*m**2 + f*m + 2 + 1/6*m**3. Solve o(u) = 0 for u.
0
Let j be 933/((-5)/30 - 29/6). Let d = -185 - j. Factor -d*w + 6/5 + 2/5*w**2.
2*(w - 3)*(w - 1)/5
Let q(v) = v**2 + 33*v + 64. Let u be q(-2). Let f(d) be the first derivative of -6/5*d**5 - d**4 + 3*d**2 - 1/3*d**6 + 4/3*d**3 + u*d - 6. Factor f(z).
-2*(z - 1)*(z + 1)**4
Let x(m) be the second derivative of -m**4/54 + 46*m**3/27 + 230*m. Let x(g) = 0. Calculate g.
0, 46
Let r(c) be the third derivative of -c**5/15 + c**4/6 - 28*c**2. Solve r(v) = 0.
0, 1
Suppose -4*c = -6*c + 16. Factor 10*s**3 - c*s**3 - s**2 - 2*s + 5*s**2 - 4*s**4.
-2*s*(s - 1)*(s + 1)*(2*s - 1)
Let t be ((-8)/10)/(8/(-20)). Let z(p) = 4*p + 180. Let f be z(-44). Factor -14/5*n**f - 4/5 + 26/5*n - 54/5*n**t + 46/5*n**3.
-2*(n - 1)**3*(7*n - 2)/5
Let x(o) be the third derivative of -o**7/42 - 7*o**6/24 - o**5/3 + 5*o**4/2 - 8*o**2 - 21. Factor x(y).
-5*y*(y - 1)*(y + 2)*(y + 6)
Suppose 262 - 62 = 5*i. Suppose -i*o**2 + 3*o - 90 + 5*o**3 + 2*o + 29*o + 71*o = 0. Calculate o.
2, 3
Let q(y) be the first derivative of 2*y**5/5 - 3*y**4/2 - 10*y**3 + 19*y**2 + 60*y - 200. What is b in q(b) = 0?
-3, -1, 2, 5
Let g = -12 - -13. Suppose -g + 2 = q. Find y such that 0*y**3 - q + 0*y**3 + 7*y**2 - 2*y - 3*y**3 - y**3 = 0.
-1/4, 1
Let s = -1512 + 7562/5. Suppose -60*g**2 - s*g**4 + 200*g + 8*g**3 - 250 = 0. What is g?
5
Let u(x) be the third derivative of x**5/300 + 5*x**4/12 + 16*x**3/5 - 3*x**2 - 26*x. Find d, given that u(d) = 0.
-48, -2
Let z(m) = -m**5 + 43*m**4 + 235*m**3 + 284*m**2 - 237*m - 321. Let j(p) = p**5 - p**4 - p**3 + p - 1. Let l(c) = 3*j(c) + z(c). Let l(x) = 0. What is x?
-9, -2, -1, 1
Let t(x) be the first derivative of 1/12*x**3 + 4*x - x**2 + 11. Factor t(n).
(n - 4)**2/4
Factor -1/2*s**3 - 1/2*s**2 + 0*s + 0.
-s**2*(s + 1)/2
Let c(z) = -3*z**3 - z*