 - 1/75*t**6. Factor v(m).
-2*(m + 1)*(m + 5)**3/5
Let b(p) be the third derivative of -10*p**2 - 1 - 1/72*p**4 - 1/720*p**6 + 0*p**3 + 0*p + 1/120*p**5. Find s, given that b(s) = 0.
0, 1, 2
Let y(d) be the second derivative of -d**7/84 - d**6/24 - d**5/24 + 10*d**3/3 - 2*d**2 + 205*d. Let x(f) be the second derivative of y(f). Factor x(o).
-5*o*(o + 1)*(2*o + 1)
Suppose 340 = m + 28. Suppose m = -0*s + 13*s. Factor 320*u + 76*u**2 + 21*u**3 - 41*u**3 - 400 + s*u**3.
4*(u - 1)*(u + 10)**2
Suppose -10*r + w = -8*r + 11, 11*w = -r + 121. Let h = -65 + 263/4. Factor r*i**3 - 3/2*i**4 + h*i**5 + 3/2*i**2 - 3/4*i + 0.
3*i*(i - 1)**3*(i + 1)/4
Let z(g) be the second derivative of -g**4/48 - 33*g**3/8 - 97*g**2/4 - 792*g. Let z(v) = 0. Calculate v.
-97, -2
Let x = 13 + -8. Suppose -2*d + h = -1, 0*d - 1 = x*d + h. Factor 138*m**2 + 216*m**3 - 19 + 21*m**5 + d*m + 1 + 2*m + m + 120*m**4.
3*(m + 1)**3*(m + 3)*(7*m - 2)
Let v(s) = 38*s**2 - 111*s + 57*s + 68*s + 8 + 32*s**3. Let y(j) = -11*j**3 - 13*j**2 - 5*j - 3. Let k(u) = 3*v(u) + 8*y(u). Determine q, given that k(q) = 0.
-1, -1/4, 0
Let s(r) be the first derivative of r**4/3 + 1121*r**3/9 + 140*r**2/3 - 6838. Factor s(x).
x*(x + 280)*(4*x + 1)/3
Suppose 131*y = 44*y + 54*y + 66. Let j(w) be the second derivative of -1/168*w**7 + 0 + 0*w**2 + 1/24*w**4 + 0*w**3 - 1/16*w**5 + 1/30*w**6 - y*w. Factor j(b).
-b**2*(b - 2)*(b - 1)**2/4
Let h(n) = 5*n**2 + 28*n + 32. Suppose -21*v - 24 = -15*v. Let m be h(v). Factor -3/2*c - 3/2*c**3 + 3*c**2 + m.
-3*c*(c - 1)**2/2
Let d be -1 + (-1 - -2) - -23. Let y = -19 + d. Factor 2*q**3 + 0*q**2 - 4*q**2 + q**y + 54 - 8*q - 54.
q*(q - 2)*(q + 2)**2
Find i, given that 121*i**2 - 274*i**5 + 872*i**5 - 140*i**4 + 159*i**2 - 300*i**5 - 140 - 5*i - 303*i**5 + 10*i**3 = 0.
-28, -1, 1
Let s = -969 + 977. Let g(c) = 6*c**2 - 46*c - 13. Let y be g(s). Factor 1/3*l**4 + 0 + 0*l + 0*l**2 + 1/3*l**y.
l**3*(l + 1)/3
Let u(k) be the first derivative of k**3/8 + 177*k**2/16 + 1651. Find c, given that u(c) = 0.
-59, 0
Let m(s) be the first derivative of -56/3*s - 2/3*s**3 - 249 - 1/6*s**4 + 8*s**2. Factor m(z).
-2*(z - 2)**2*(z + 7)/3
Suppose 196*c**2 - 796 - 100*c**2 - 33*c**2 - 228 - c**3 - 960*c = 0. What is c?
-1, 32
Let g(c) be the first derivative of -625*c**6/9 - 180*c**5 + 421*c**4/6 + 2684*c**3/9 + 68*c**2 + 16*c/3 + 529. Determine o, given that g(o) = 0.
-2, -1, -2/25, 1
Let u = 2481/5 - 14881/30. Let s(t) be the third derivative of -10/3*t**3 + 1/3*t**5 - u*t**4 + 1/30*t**6 + 0 + 5*t**2 + 0*t. Determine x so that s(x) = 0.
-5, -1, 1
Let w be 6/75 - (3 + 438/(-150)). Let 1/6*f**5 - 1/6*f**2 + 0 - 1/6*f**3 + w*f + 1/6*f**4 = 0. Calculate f.
-1, 0, 1
Let h(s) = -s**3 + 7*s**2 + 7*s + 5. Let c be h(8). Let b be 79 + c/2*2. Solve -2*o**2 - b*o**3 + 2*o**4 + 145*o**3 + o - 70*o**3 = 0 for o.
-1, 0, 1/2, 1
Let j(a) = -a**3 + a**2 - 7*a + 19. Suppose 3*n = 5*c + 1, 5*n + 2 - 8 = 4*c. Let i be j(n). Let k**3 + 3/4*k**2 - i - k + 1/4*k**4 = 0. What is k?
-2, -1, 1
Let k be (-875)/(-570) + (-214)/6099. Factor -9/2*m + 0 + 9/2*m**3 + 3/2*m**4 - k*m**2.
3*m*(m - 1)*(m + 1)*(m + 3)/2
Let d(r) be the first derivative of -2*r**5/15 + r**4/3 + 122*r**3/3 + 372*r**2 + 1224*r + 10868. Solve d(t) = 0 for t.
-6, -3, 17
Factor -372*o**3 - 475061 - 25480 - 8*o**4 + 182280*o - 15338*o**2 + 6*o**4 + 20341.
-2*(o - 5)**2*(o + 98)**2
Let s be -19*1 - 24/(204/(-17)). Let h be s + 11 - (-102)/9. Solve -64/3 - h*l - 1/3*l**2 = 0 for l.
-8
Solve -150*v**4 - 282*v**3 + 29*v**2 - 9*v**5 - 1373*v**2 - 200*v**3 - 307*v**3 - 588*v = 0 for v.
-7, -2, -2/3, 0
Let i(a) be the third derivative of -2*a**7/105 - 14*a**6 + a**5/15 + 70*a**4 - 30*a**2 + 49. Determine p, given that i(p) = 0.
-420, -1, 0, 1
Let o = -1301/26 - -657/13. Let t(g) be the first derivative of 3*g - 1/18*g**6 + 9 - 1/5*g**5 + 10/9*g**3 + o*g**4 - 7/2*g**2. Solve t(p) = 0.
-3, 1
Let k = 390735 - 5861011/15. Factor k*q**3 + 0 - 2/15*q**4 - 8/5*q**2 + 0*q.
-2*q**2*(q - 4)*(q - 3)/15
Let c be (-22 - -20)/((-4)/6). What is h in -8*h**3 - h**5 - 17*h**4 + 6*h**c + 1 + 14*h**4 + 2*h**2 + 3*h = 0?
-1, 1
Let w(g) be the first derivative of 65/3*g**3 + 15/2*g**4 + 59 + g**5 + 30*g**2 + 20*g. Determine p, given that w(p) = 0.
-2, -1
Let a(w) be the third derivative of -w**6/24 + 97*w**5/4 + 735*w**4/4 + 58*w**2 - 7. Find b, given that a(b) = 0.
-3, 0, 294
Let q(l) be the third derivative of l**7/315 + l**6/180 - 4*l**5/5 + 154*l**2 - l. Let q(w) = 0. What is w?
-9, 0, 8
Let o(a) be the third derivative of -a**6/80 + 7*a**5/40 + 85*a**4/16 - 91*a**3/4 - 78*a**2 + 2. Factor o(u).
-3*(u - 13)*(u - 1)*(u + 7)/2
Let g be (-32)/(-33)*((-22914)/(-76))/67. Let 8/11*n**5 + 326/11*n**3 + 296/11*n + 492/11*n**2 + g + 90/11*n**4 = 0. What is n?
-6, -2, -1, -1/4
Let h be 21/126*(-15)/(-2)*(-7)/(-35). Let 7/2 - 5/4*y - h*y**2 = 0. What is y?
-7, 2
Let x(y) be the first derivative of 4/15*y**5 - 1/18*y**6 - 1/3*y**4 - 2/9*y**3 + 5/6*y**2 - 98 - 2/3*y. Factor x(i).
-(i - 2)*(i - 1)**3*(i + 1)/3
Let q(s) be the second derivative of s**7/945 + 7*s**6/540 + 8*s**5/135 + s**4/9 + 89*s**2 + 99*s. Let n(d) be the first derivative of q(d). Factor n(z).
2*z*(z + 2)**2*(z + 3)/9
Let g(r) be the second derivative of -r**5/50 + 361*r**4/10 - 36*r - 13. Factor g(h).
-2*h**2*(h - 1083)/5
Let f = 15 + 15. Factor -125 - 35*m + 17*m - 5*m**3 + f*m**2 + 15*m**2 - 57*m.
-5*(m - 5)**2*(m + 1)
Let k(s) be the third derivative of -s**8/5040 - s**7/180 + s**5/20 - s**4/24 - 2*s**2. Let p(a) be the third derivative of k(a). Factor p(q).
-4*q*(q + 7)
Let y(f) be the second derivative of f**4/12 - 23*f**3/2 - 71*f**2 - 1316*f. Find x, given that y(x) = 0.
-2, 71
Let d = 92259 - 369031/4. Find p such that 2*p**2 - d*p**3 + 1/4*p**4 - p + 0 = 0.
0, 1, 2
Let b(t) be the third derivative of 1/8*t**4 + 1/40*t**5 + 0*t**3 - t**2 - 1/80*t**6 + 3*t + 0. Factor b(y).
-3*y*(y - 2)*(y + 1)/2
Let a(d) be the first derivative of d**6/9 - 2*d**5/25 - 217*d**4/30 - 18*d**3/5 + 212*d**2/15 + 56*d/5 + 452. Determine i, given that a(i) = 0.
-6, -1, -2/5, 1, 7
Let b(f) be the first derivative of 2*f**3/15 + 7*f**2 - 1128*f/5 - 1366. Factor b(h).
2*(h - 12)*(h + 47)/5
What is m in 280/3*m + 4/3*m**3 - 1176 + 94/3*m**2 = 0?
-14, 9/2
Let s(h) be the second derivative of 5*h - 100/7*h**2 + 1/5*h**5 + 20/3*h**3 - 1/105*h**6 + 37 - 23/14*h**4. Determine x so that s(x) = 0.
2, 5
Let l(v) be the third derivative of 0 + 1/45*v**5 - 1/315*v**7 + 1/18*v**4 + 1/1008*v**8 - 3*v**2 - v + 0*v**3 - 1/120*v**6. Factor l(c).
c*(c - 2)**2*(c + 1)**2/3
Suppose 0 = 3*i - 3*p + 1347, -205 - 242 = i - 3*p. Let m = 452 + i. Factor -9/4*d + 3/8*d**m + 0.
3*d*(d - 6)/8
Let a(n) be the second derivative of 0 - 1/60*n**5 - 5/36*n**4 + 1/18*n**3 - 10*n + 5/6*n**2. Factor a(b).
-(b - 1)*(b + 1)*(b + 5)/3
Factor 1808*g - 43298*g**2 - 1201216 + 86590*g**2 + 2576*g - 43296*g**2.
-4*(g - 548)**2
Let i(k) = 6*k**3 - 199*k**2 + 2033*k - 7193. Let d(l) = 10*l**3 - 332*l**2 + 3388*l - 11988. Let c(g) = 7*d(g) - 12*i(g). Find v such that c(v) = 0.
10, 12
Find f, given that -2/5*f**4 - 106*f - 232/5 - 366/5*f**2 - 14*f**3 = 0.
-29, -4, -1
Let x(l) be the third derivative of -1/150*l**5 - 4/15*l**3 + 38*l**2 - 1/12*l**4 + 0 + 0*l. Factor x(n).
-2*(n + 1)*(n + 4)/5
Solve -4186*d**4 - 207*d**3 - 1232*d**2 - 2076*d + 4194*d**4 - 1080 + 2*d**3 + 4*d**5 - 27*d**3 = 0.
-5, -3, -2, -1, 9
Factor -61*d**3 + 12*d**2 - 50*d**2 - 7*d**4 + 3*d + 13*d.
-d*(d + 1)*(d + 8)*(7*d - 2)
Let l = -604 + 620. Let a be (l/(-8))/(-4)*0. Factor a - 1/6*o**2 - 1/2*o.
-o*(o + 3)/6
Let m(z) = -8*z**2 - 14*z - 12. Let w(l) = -7*l**2 - 13*l - 11. Suppose 3*y + 9 = 4*i, -5*i = -3*y - 5 - 10. Let d(h) = i*w(h) - 5*m(h). Factor d(u).
-2*(u + 1)*(u + 3)
Let g(s) be the third derivative of -s**8/2184 - 272*s**7/1365 - 4624*s**6/195 - 763*s**2. Let g(d) = 0. Calculate d.
-136, 0
Let r(k) = 6*k**3 + 1543*k**2 - 589838*k + 49. Let j(z) = -5*z**3 - 1542*z**2 + 589836*z - 42. Let d(y) = -7*j(y) - 6*r(y). Factor d(h).
-h*(h - 768)**2
Let v = -84 - -422/5. Let p be (-672)/(-756) - (-19)/((-42750)/1325). Let 1/5 - 2/5*i**3 + p*i**5 + v*i**4 + 1/10*i - 3/5*i**2 = 0. What is i?
-1, 2/3, 1
Let d be ((-796)/6 - 2)*5/1020. Let l = -28/51 - d. Factor 1/9*v + 2/9 - l*v**2.
-(v - 2)*(v + 1)/9
Le