. Factor m(s).
-2*(s + 1)*(3*s - 2)/3
Let d(m) be the third derivative of -m**5/540 - m**4/108 - m**3/54 + 13*m**2 - 2. Let d(v) = 0. What is v?
-1
Solve 40*p**2 - 26*p**3 - 4 + 22*p**4 - 106*p**2 + 26*p + 48*p**2 = 0.
-1, 2/11, 1
Let m(s) = s**3 - 3*s**2 - s - 6. Let h be m(3). Let v = h - -18. Factor -v*k**4 + 4*k**5 + 2*k - 2*k**5 + 5*k**4 + 4*k**2 - 4*k.
2*k*(k - 1)**3*(k + 1)
Let j(k) = k**3 + 7*k**2 + 8*k + 9. Suppose -d - 2*i = -16, -5*d - 5*i + 74 = -i. Let b(c) = c. Let v = 0 + 2. Let n(u) = d*b(u) + v*j(u). Factor n(p).
2*(p + 1)*(p + 3)**2
Let u(k) be the second derivative of -k**7/210 + k**6/15 - 21*k**5/100 - 96*k. Factor u(t).
-t**3*(t - 7)*(t - 3)/5
Suppose -4*g = -s + 2*s - 10, -4*s - 2*g - 16 = 0. Let k be (-3 - (s + 1)) + -2. Let 0 + k*c + 2/13*c**3 - 4/13*c**2 = 0. What is c?
0, 2
Let m(i) = i**2 + 6*i + 38. Let q(p) = 2*p**2 + 9*p + 75. Let h(k) = 11*m(k) - 6*q(k). Factor h(z).
-(z - 8)*(z - 4)
Let y(g) be the second derivative of 2*g**4/33 + 7*g**3/11 + 5*g**2/11 - 17*g + 8. Factor y(p).
2*(p + 5)*(4*p + 1)/11
Let j(h) be the second derivative of -2*h**7/21 + h**5/5 + 3*h + 10. Factor j(c).
-4*c**3*(c - 1)*(c + 1)
Let r(u) be the third derivative of u**8/504 - 2*u**6/45 - u**5/15 + 7*u**4/36 + 2*u**3/3 + 39*u**2. Find y such that r(y) = 0.
-2, -1, 1, 3
Let g(t) be the second derivative of 1/45*t**6 - 9*t - 1/18*t**4 - 1/60*t**5 + 0*t**3 + 0*t**2 + 0 + 1/126*t**7. Factor g(p).
p**2*(p - 1)*(p + 1)*(p + 2)/3
Let r be (-587)/9 - 8/8. Let o = -66 - r. Factor -o*a + 2/3*a**2 + 0.
2*a*(3*a - 1)/9
Suppose 0 = 3*x + 18, 0 = -2*b - 4*x - 31 + 11. Solve 3/4 - 3/8*q - 3/8*q**b = 0.
-2, 1
Let r(m) be the third derivative of -m**7/4200 - m**6/900 + m**5/600 + m**4/60 - 3*m**3/2 - 8*m**2. Let t(l) be the first derivative of r(l). Factor t(a).
-(a - 1)*(a + 1)*(a + 2)/5
Let z(n) be the third derivative of -n**5/60 + n**4/4 + 211*n**2. Suppose z(i) = 0. Calculate i.
0, 6
Let 280*t**3 + 76 + 290*t**2 + 239*t**2 - 144*t**2 - 4*t**5 + 300*t + 60*t**4 + 42*t**2 + 13*t**2 = 0. What is t?
-1, 19
Suppose 5*q - 12 - 43 = 5*k, -14 = -q - 2*k. Let t be (2/q)/(10/40). Determine x so that -t*x**3 + 0 - 1/3*x**5 - x**4 + 0*x**2 + 0*x = 0.
-2, -1, 0
Let x(l) = -5*l**2 + 49*l - 24. Let w(t) = t - 7. Let v(p) = -6*w(p) + x(p). Factor v(m).
-(m - 9)*(5*m + 2)
Let z(q) be the third derivative of -q**6/300 - 43*q**5/150 - 83*q**4/60 - 41*q**3/15 - q**2 - 189*q. Find u, given that z(u) = 0.
-41, -1
Determine h so that -160/3*h**2 - 20/9 + 50/9*h**3 - 22*h = 0.
-1/5, 10
Let -5*d**4 - 35*d**3 + 534*d**2 - 20*d**3 - 409*d**2 - 65*d = 0. Calculate d.
-13, 0, 1
Suppose 35*y = 3*r + 38*y - 24, 5*r - 4*y = -14. Factor 1/11*s**r - 1/11*s**3 + 0 + 0*s.
-s**2*(s - 1)/11
Let g(p) be the first derivative of -p**7/504 + p**6/216 + 25*p**3/3 - 20. Let h(f) be the third derivative of g(f). Factor h(m).
-5*m**2*(m - 1)/3
Let b be 4/9*((-125)/70 - -2). Let l = 10/7 - b. Factor -2/3*z**3 - 2/3*z + 0 - l*z**2.
-2*z*(z + 1)**2/3
Let z(x) = 2*x**3 + 68*x**2 - 311*x + 304. Let f(w) = -6*w**3 - 204*w**2 + 930*w - 912. Let k(i) = -5*f(i) - 14*z(i). Solve k(n) = 0 for n.
-38, 2
Suppose 0 = -2*a - 0*a + 4. Suppose 179 = v + 158. Factor 5 + 5*m**3 + 16*m + v*m**2 - 2 + 1 - 4*m**a.
(m + 1)*(m + 2)*(5*m + 2)
Determine f so that -3/4*f**2 - 1/4*f**5 - f + 3/4*f**4 + 0 + 5/4*f**3 = 0.
-1, 0, 1, 4
Let q(k) be the third derivative of -2*k**7/105 - 3*k**6/40 + k**5/2 + k**4/3 + 8*k**2. Factor q(u).
-u*(u - 2)*(u + 4)*(4*u + 1)
Let y(i) be the second derivative of -16*i**6/195 + 16*i**5/65 - 5*i**4/26 - 2*i**3/39 + i**2/13 + 69*i - 1. Find l such that y(l) = 0.
-1/4, 1/4, 1
Let y(d) be the second derivative of -26/5*d**5 + 6/5*d**6 + 0 + 34*d - 14*d**3 + 34/3*d**4 - 2/21*d**7 + 10*d**2. Factor y(i).
-4*(i - 5)*(i - 1)**4
Suppose 0*w = -3*d + w + 19, w = -4. Let q(t) be the third derivative of 0 + 0*t - 4*t**2 - 1/6*t**4 - 1/15*t**d + 0*t**3. Factor q(y).
-4*y*(y + 1)
Let t(q) = 11704*q**2 - 2520*q + 143. Let k(h) = 7805*h**2 - 1680*h + 95. Let y(d) = 8*k(d) - 5*t(d). Suppose y(b) = 0. What is b?
3/28
Factor -1/5*o**4 + 2/5*o**2 + 0 + 1/5*o**3 + 0*o.
-o**2*(o - 2)*(o + 1)/5
Factor -741 + 705 - 4*m**2 + 46*m - 6*m.
-4*(m - 9)*(m - 1)
Factor -2*j**3 - 1/6*j**4 - 32/3 - 16*j - 26/3*j**2.
-(j + 2)**2*(j + 4)**2/6
Suppose -11*f + 13*f = 10. Let c(w) be the first derivative of 1/3*w**2 - 1/3*w**4 + 0*w**f + 0*w**3 + 1 + 1/9*w**6 + 0*w. Factor c(q).
2*q*(q - 1)**2*(q + 1)**2/3
Let r = 5/16 + 17/48. Let a(i) be the second derivative of 0*i**2 - 1/5*i**5 - 12*i - r*i**4 + 0 - 2/3*i**3. Find g, given that a(g) = 0.
-1, 0
Let z(r) be the third derivative of -r**7/420 - 11*r**6/240 - 19*r**5/120 - 3*r**4/16 - 104*r**2. Factor z(o).
-o*(o + 1)**2*(o + 9)/2
Let q(r) be the first derivative of -r**6/10 + 6*r**5/25 + 9*r**4/20 - 4*r**3/5 - 6*r**2/5 + 177. Factor q(l).
-3*l*(l - 2)**2*(l + 1)**2/5
Let f(d) be the second derivative of -d**6/195 - d**5/65 + 5*d**4/78 + 2*d**3/13 + 45*d. Find j, given that f(j) = 0.
-3, -1, 0, 2
Let u(l) = 30*l**5 + 55*l**4 - 92*l**3 - 215*l**2 - 119*l - 19. Let s(a) = -2*a**3 + a + 1. Let q(y) = s(y) - u(y). Solve q(j) = 0.
-2, -1, -1/2, -1/3, 2
Let z = 7271/1940 - -1/485. Factor z*m + 3 + 3/4*m**2.
3*(m + 1)*(m + 4)/4
Let y(o) be the third derivative of -o**6/120 + 2*o**3/3 + 18*o**2. Let m be y(0). Factor -2/3 - 2/3*f**m + 0*f**3 + 0*f + 4/3*f**2.
-2*(f - 1)**2*(f + 1)**2/3
Determine x, given that -3*x**4 - 10*x + 3*x - 2*x**2 + 5*x**2 + 2*x**3 + 5*x = 0.
-1, 0, 2/3, 1
Suppose 2 = -2*h + 52. Factor -15*v**2 + 20*v**4 + h*v**3 - 5 - 13*v - 13*v + v.
5*(v - 1)*(v + 1)**2*(4*v + 1)
Let w(a) be the first derivative of 3*a**4/32 - 7*a**3/8 + 3*a**2/8 + 15*a + 365. Suppose w(i) = 0. What is i?
-2, 4, 5
Let s be (-74 - -2)*(-9 - (-2758)/308). Factor -8/11*n**2 + 6/11*n - 2/11*n**3 + s.
-2*(n - 2)*(n + 3)**2/11
Let k(l) = l**2 - 7*l - 28. Let i(m) = -2*m + 13. Let z be i(8). Let t be k(z). Solve -2/7*p - 2/7*p**t + 0 = 0.
-1, 0
Solve 10*j**2 + 122*j - 24 + 10*j**2 - 174*j = 0.
-2/5, 3
Factor 2/11*c**2 + 210/11*c + 412/11.
2*(c + 2)*(c + 103)/11
Let x(v) be the second derivative of v**4/18 - 214*v**3/9 + 11449*v**2/3 - 2*v + 42. Factor x(n).
2*(n - 107)**2/3
What is b in -b**3 - 22*b**3 + 69*b**4 - 50*b**3 - 45*b**5 + 36*b**4 - 7*b**3 + 20*b**2 = 0?
0, 2/3, 1
Let o = 204 + -186. Suppose 3*x - 10 = w, 7*w - o = 4*w - 3*x. Factor -n + 0 - 1/2*n**4 - 5/2*n**2 - w*n**3.
-n*(n + 1)**2*(n + 2)/2
Suppose 6*p - 10*p + 4 = 0. Factor -4*k + 1 + p + k - 4 + k**3.
(k - 2)*(k + 1)**2
Let b(n) = 134*n - 1200. Let g be b(9). Factor -1/2 + 4*t**3 - g*t**2 - 15/4*t.
(t - 2)*(4*t + 1)**2/4
Factor 1040 - 393*v - 49027*v**2 - 652*v + 49032*v**2.
5*(v - 208)*(v - 1)
Let l = 12842/3 + -4280. Suppose l*i**2 + 0 - 2/3*i**3 - 2/9*i + 2/9*i**4 = 0. What is i?
0, 1
Let k be (-6 - -2)*6/(-12). Factor -28*r + 4*r**2 + 4*r**k - 225 + 217 + 28*r**3.
4*(r - 1)*(r + 1)*(7*r + 2)
Factor -8448*k - 4*k**3 - 1400 - 4*k**3 - 2696 + 57*k**2 - 274*k**2 - 299*k**2.
-4*(k + 32)**2*(2*k + 1)
Let f(c) = 11*c**2 + c + 5. Suppose 3*q - 6 = 2*q. Let j be -15*(q/9 - 1). Let g(b) = -39*b**2 - 3*b - 18. Let n(k) = j*g(k) + 18*f(k). Factor n(l).
3*l*(l + 1)
Solve -2/3*m**3 - 628/9*m**2 - 10816/9 - 16640/9*m = 0.
-52, -2/3
Suppose -95*g + 3*g = -815 - 1209. Factor -80/3*i - g*i**2 - 2/3*i**4 - 20/3*i**3 - 32/3.
-2*(i + 1)**2*(i + 4)**2/3
Let y(d) be the first derivative of 0*d + 25 - 8/3*d**3 - 6*d**4 + 0*d**2 + 7/3*d**6 + 18/5*d**5. Suppose y(z) = 0. What is z?
-2, -2/7, 0, 1
Factor 2 - 1/4*y**4 + 11/4*y**3 + 29/4*y**2 + 13/2*y - 1/4*y**5.
-(y - 4)*(y + 1)**3*(y + 2)/4
Let x be 9/15 - 6/(-15). Let f be x + -1 + (0 - -2). What is q in -3*q**f + 2 - 3 + 0*q**3 + q**3 + 0 + 3*q = 0?
1
Let k(g) = g**2 + 92*g + 2119. Let o(a) = -4*a**2 - 368*a - 8475. Let y(h) = -22*k(h) - 6*o(h). Factor y(m).
2*(m + 46)**2
Suppose -4/7 - 6/7*m**2 - 2*m = 0. Calculate m.
-2, -1/3
Let r = 275 + -824/3. Suppose 0 = -u - 3 + 5. Factor 0 - r*h**u + 1/6*h.
-h*(2*h - 1)/6
Suppose -69*l - 57 = -195. Factor -81/5*y**3 + 4/5*y - 4/5 + 81/5*y**l.
-(y - 1)*(9*y - 2)*(9*y + 2)/5
Suppose 21*g - 87 = -3. Solve -5/4*m**3 + m**g - 1/4*m**5 + 1/2*m**2 + 0*m + 0 = 0 for m.
0, 1, 2
Let m = 3474 - 3474. Find j such that -8/9*j**3 - 2*j + m + 8/3*j**2 = 0.
0, 3/2
Let d(l) 