m(j) be the third derivative of -j**8/756 - 2*j**7/315 + 4*j**5/135 - 560*j**2. Factor m(p).
-4*p**2*(p - 1)*(p + 2)**2/9
Let 2*a**4 + 22*a**2 + 9*a**3 - 561697*a + 19*a**3 + 561645*a = 0. Calculate a.
-13, -2, 0, 1
Suppose 19*x = -101*x + 19*x. Let g(u) be the second derivative of -2*u + 1/42*u**4 + 0 + x*u**2 + 2/21*u**3. Factor g(m).
2*m*(m + 2)/7
Let v(t) be the first derivative of 27*t - 18*t**2 + 3*t**4 - 2*t**3 + 3/5*t**5 - 26. Let v(b) = 0. Calculate b.
-3, 1
Let c = 6717 + -6715. Solve 8/17*h**c + 10/17 + 42/17*h = 0.
-5, -1/4
Suppose -4 = -2*y - 4*t + 7*t, -4*y = 5*t + 36. Let q = -4 - y. Factor q*w + 0 + 3/7*w**2.
3*w**2/7
Let r be ((-30020)/(-456) + -66)/(1 + 10/(-9)). Factor 0 + r*u - 1/4*u**2.
-u*(u - 6)/4
Let j(w) be the second derivative of w**7/168 + 7*w**6/120 + 9*w**5/80 - 7*w**4/48 - 5*w**3/12 + 144*w - 2. Let j(l) = 0. What is l?
-5, -2, -1, 0, 1
Let v(f) = 25*f**3 + 145*f**2 - 170*f - 240. Let c(s) = -8*s**3 - 48*s**2 + 57*s + 82. Let x(y) = -10*c(y) - 3*v(y). Factor x(n).
5*(n - 2)*(n + 1)*(n + 10)
Let n(y) = 134*y + 2310. Let r(x) = x**2 - 133*x - 2309. Let i(a) = -6*n(a) - 4*r(a). Factor i(z).
-4*(z + 34)**2
Determine l, given that 0 + 0*l + 0*l**2 - 10/13*l**3 + 2/13*l**4 = 0.
0, 5
Suppose 2*z - 3*z = -3. Suppose -5*m = 3*u - 4 - 20, 2*m - 3*u + z = 0. Factor 0*h**m + 4*h**2 + 5*h**3 - 9*h + h - h**3.
4*h*(h - 1)*(h + 2)
Suppose -5*o + 14 = 12*o - 20. Determine w, given that -6/19*w**3 - 2/19*w**4 + 0 - 6/19*w**o - 2/19*w = 0.
-1, 0
Let d(x) = -33*x + 34. Let q be d(-12). Determine w so that 430 - q + 3*w**2 - 3*w**3 = 0.
0, 1
Let i(a) be the first derivative of -a**4/4 + 7*a**3/3 - 2*a**2 - 12*a + 18. Factor i(t).
-(t - 6)*(t - 2)*(t + 1)
Let s(k) = -229*k + 2750. Let f be s(12). Let 3/8*z**f - 3/8*z**5 + 9/8*z**3 - 3/4*z + 0 - 3/8*z**4 = 0. What is z?
-2, -1, 0, 1
Suppose 4*v - 4*s - 28 = -4, 3*v - 4*s = 14. Suppose -5 - v = -5*x. Find k such that 48/5*k**2 + 32/5*k**x + 2/5 + 18/5*k = 0.
-1, -1/4
Let c(l) = -l**2 + 261*l + 48. Let x(r) = 15*r**2 - 4175*r - 760. Let k(o) = 95*c(o) + 6*x(o). Solve k(y) = 0 for y.
-51, 0
Let w be (-5 + 3)*(-2)/(-4) - 9. Let u(r) = -r**2 - r + 1. Let z(a) = -17*a**2 - 3*a + 5. Let o(h) = w*u(h) + 2*z(h). Let o(y) = 0. What is y?
0, 1/6
Let c(l) = l**3 - 1. Let p(z) be the third derivative of 0 - 7/40*z**6 - 3/8*z**4 + 0*z - 1/5*z**5 + 3*z**3 + 3*z**2. Let b(x) = 18*c(x) + p(x). Factor b(s).
-3*s*(s + 1)*(s + 3)
Let n(m) be the second derivative of -m**5/50 + 19*m**4/30 - 112*m**3/15 + 192*m**2/5 - 9*m. Suppose n(w) = 0. What is w?
3, 8
Suppose l = 6*l + 5, b + l = -1. Suppose 2*n**2 - 2/7*n**5 - 4/7*n + b - 18/7*n**3 + 10/7*n**4 = 0. What is n?
0, 1, 2
Suppose 0 = 5*b + 2*b - 21. Factor -18*r**2 - 13*r**2 - 4*r**b + 2*r**2 - 3*r**2.
-4*r**2*(r + 8)
Let w = 37/2712 - -22/113. Let h(c) be the first derivative of 0*c - 1/36*c**6 + 0*c**2 - w*c**4 - 1/9*c**3 + 3 - 2/15*c**5. Factor h(a).
-a**2*(a + 1)**2*(a + 2)/6
Let v be 7 + ((-78)/8 - -4). Let x(h) be the first derivative of 0*h - h**2 + v*h**4 + h**3 + 5. Solve x(l) = 0 for l.
-1, 0, 2/5
Factor 58/3*y + 33/2*y**3 + 14/3*y**4 + 4 + 1/2*y**5 + 27*y**2.
(y + 2)**3*(y + 3)*(3*y + 1)/6
Let u(a) = -8*a + 46. Let f be u(7). Let g be (-197)/(-13) + f/65. Determine r so that -3/2*r + 0 - g*r**3 - 39/4*r**2 = 0.
-2/5, -1/4, 0
Let 0*r**4 - r**5 - 80*r**2 + 80*r**2 + 4*r**4 - 4*r**3 = 0. Calculate r.
0, 2
Let w be (-1 - -4)*5/3. Let d(i) = -i + 7. Let q be d(w). Solve -2*l - 3*l**2 + 0*l**2 + 3*l**q + 2*l**3 = 0 for l.
-1, 0, 1
Let h(g) be the third derivative of g**6/480 + g**5/120 + g**4/96 + 485*g**2. Factor h(j).
j*(j + 1)**2/4
Let r(v) be the third derivative of 26*v**2 + 1/45*v**6 - 1/15*v**5 + 1/9*v**4 + 0 + 0*v - 1/315*v**7 - 1/9*v**3. Let r(i) = 0. What is i?
1
Let d be (6*13/(-390))/((-4)/60). Factor 0 + 0*i - 3/2*i**4 - 3/2*i**3 + d*i**2.
-3*i**2*(i - 1)*(i + 2)/2
Let h(k) be the third derivative of 0*k**4 + 1/45*k**3 - 12*k**2 + 1/450*k**6 + 0*k - 1/150*k**5 + 0. Factor h(z).
2*(z - 1)**2*(2*z + 1)/15
Factor -4/5*j - 32/15 + 2/15*j**2.
2*(j - 8)*(j + 2)/15
Let g(z) be the second derivative of -z**6/540 + 17*z**5/270 - 7*z**4/12 - 3*z**3 - 4*z**2 + 27*z. Let q(r) be the first derivative of g(r). Factor q(d).
-2*(d - 9)**2*(d + 1)/9
Let q(o) = 0*o - 1282 - 5*o + 1267. Let w be q(-3). Determine x, given that -3*x + w + 9*x**2 + 21/4*x**3 = 0.
-2, 0, 2/7
Let g = 1123 + -1118. Let k(b) be the second derivative of 6*b - 17*b**3 - 7/10*b**g + 20/3*b**4 - 18*b**2 + 0. Let k(t) = 0. What is t?
-2/7, 3
Solve -1/3*i**2 + 7/3 + 2*i = 0 for i.
-1, 7
Let n(v) be the first derivative of 5*v**6/18 + v**5 - 5*v**4/4 - 35*v**3/9 + 5*v**2 - 564. Suppose n(l) = 0. What is l?
-3, -2, 0, 1
Let t be (-3122)/(-1302) + (-10)/155. Find c, given that c**2 + 5/3*c**4 + 0 + t*c**3 + 0*c + 1/3*c**5 = 0.
-3, -1, 0
Let 0*s**3 + 0*s - 2*s**2 + 1/2*s**4 + 0 = 0. Calculate s.
-2, 0, 2
Let m(p) be the second derivative of -p**4/3 - 10*p**3 - 28*p**2 + 167*p - 2. Determine n, given that m(n) = 0.
-14, -1
Let u(f) be the second derivative of 50*f**7/21 - 53*f**6/6 + 7*f**5 - 5*f**4/3 + 46*f. Find o such that u(o) = 0.
0, 1/4, 2/5, 2
Let y = 4411/2942 - -1/1471. Solve 0 - 27/2*t - y*t**3 + 9*t**2 = 0 for t.
0, 3
Let w(z) be the third derivative of -z**5/210 - z**4/14 - 5*z**3/21 - 46*z**2 + 2. Find p such that w(p) = 0.
-5, -1
Suppose -5*s + 3*s = 5*i - 67, 2*s - 64 = -4*i. Let u = 26 - s. Factor -2/3*l**4 + 10/3*l**3 + u + 8/3*l - 16/3*l**2.
-2*l*(l - 2)**2*(l - 1)/3
Let t(y) = -2*y**3 - 2*y**2 + 5*y + 5. Let d be -6 - (4 - 7/1). Let i(b) = 6*b**3 + 6*b**2 - 16*b - 16. Let h(p) = d*i(p) - 10*t(p). Factor h(s).
2*(s - 1)*(s + 1)**2
Let w(k) be the third derivative of k**6/120 + k**4/24 - 6*k**2. Let s(c) = 11*c**3 + 2*c**2 + 7*c. Let u(b) = -5*s(b) + 40*w(b). Factor u(l).
-5*l*(l + 1)*(3*l - 1)
Let g(h) = 8*h**2 - 79*h - 25. Let z(x) = 3*x**2 - 39*x - 12. Let w(p) = -3*g(p) + 5*z(p). Factor w(t).
-3*(t - 5)*(3*t + 1)
Let f(x) = 2*x**3 - 19*x**2 - 10*x + 2. Let q be f(10). What is r in -6*r**4 + 28*r**q - 12*r - r**4 + 0*r**4 + 11*r**4 - 20*r**3 = 0?
0, 1, 3
Let r(f) be the first derivative of -2*f**3 + 0*f**2 + 0*f - 4 + 1/2*f**4. Factor r(a).
2*a**2*(a - 3)
Factor 71*n - 208 + 136 + 13*n - 32*n**2 - 7*n**3 + 11*n**3.
4*(n - 3)**2*(n - 2)
Let l(w) be the third derivative of w**6/280 + 27*w**5/140 + 25*w**4/28 - 266*w**2. Factor l(x).
3*x*(x + 2)*(x + 25)/7
Let f be 334/72 - (-2)/16*-12. Let g = f - 35/12. Find p, given that 0*p + 0*p**3 + 4/9*p**4 + 0 + g*p**5 + 0*p**2 = 0.
-2, 0
Let y(m) be the second derivative of 2*m**7/7 - 18*m**6/5 + 351*m**5/20 - 41*m**4 + 93*m**3/2 - 27*m**2 + 127*m. Find d, given that y(d) = 0.
1/2, 2, 3
Let s(y) be the third derivative of y**5/100 + 47*y**4/20 + 2209*y**3/10 + 36*y**2. Factor s(v).
3*(v + 47)**2/5
Let 2/9*o**2 - 20/9*o - 22/9 = 0. Calculate o.
-1, 11
Let p be 10/7 + 4/7. Factor 2*z - 7*z**4 + 8*z**4 + p*z**3 - 2*z.
z**3*(z + 2)
What is g in -4/3*g**3 + 128/9 + 16/3*g - 40/9*g**2 + 2/9*g**4 = 0?
-2, 2, 8
Let g be (24/(-90)*5)/(4 - (-174)/(-36)). Find t, given that -g*t**2 - 2*t**5 + 0 - 12*t**3 - 46/5*t**4 + 16/5*t = 0.
-2, -1, 0, 2/5
Let h = 8 + -4. Let j be h/28*((-3 - -2) + 3). Factor 0 - 2/7*d**4 + j*d**2 + 6/7*d**3 - 6/7*d.
-2*d*(d - 3)*(d - 1)*(d + 1)/7
Suppose 432*c + 168 = 429*c. Let o be (-120)/c + (-6)/(-7). Let -6*y**o - 3/2*y + 5*y**2 + 3*y**4 + 0 - 1/2*y**5 = 0. What is y?
0, 1, 3
Let i(a) = 5*a**5 + 4*a**4 - 5*a**3 + 8*a + 8. Let q(x) = -4*x**5 - 3*x**4 + 6*x**3 + x**2 - 9*x - 6. Let s(c) = -3*i(c) - 4*q(c). What is y in s(y) = 0?
-2, 0, 1, 3
Find m, given that 0*m + 1/4 - 1/4*m**2 = 0.
-1, 1
Let f(c) be the first derivative of c**3/3 + c**2/2 - 6*c - 149. Factor f(g).
(g - 2)*(g + 3)
Let v(s) be the first derivative of 162*s**3/11 + 216*s**2/11 + 96*s/11 + 242. Determine i so that v(i) = 0.
-4/9
Factor -2*z**3 + 7*z**3 - 5*z + 5*z**2 + 0*z**4 - 5*z**4.
-5*z*(z - 1)**2*(z + 1)
Let r(o) be the second derivative of -3*o**5/20 - 187*o**4/12 + 53*o**3 - 64*o**2 - 785*o. Factor r(z).
-(z - 1)*(z + 64)*(3*z - 2)
Let p(l) = -10*l + 1. Let c(g) = g**2 - 34*g - 81. Let o(y) = c(y) - 6*p(y). Factor o(u).
(u - 3)*(u + 29)
Let p(d) be the third derivative of -d**8/1176 + d**7/147 + d**6/60 - d**5/42 - d**4/14 + 161*d**2. Supp