 + 56*g**3/9 + 3547*g**2. Factor c(i).
2*(i - 56)*(i - 1)*(i + 3)/9
Let a be (8/64)/(675/2599200). Find z, given that a - 76/3*z + 1/3*z**2 = 0.
38
Factor 5*w**3 + 6*w - 23/2*w**2 + 1/2*w**4 + 0.
w*(w - 1)**2*(w + 12)/2
Suppose 0*f - f + 5*q = -10, 10 = -5*q. Suppose 15*y - 2*y - 39 = f. Factor -y - 24*c - 18*c + 48*c - 3*c**2.
-3*(c - 1)**2
Let c(h) be the second derivative of -1/63*h**7 + 8/45*h**6 + 4/3*h**2 - 17/9*h**3 - 11/15*h**5 + 14/9*h**4 - 18*h + 0. Factor c(s).
-2*(s - 4)*(s - 1)**4/3
Solve 2/15*x**2 + 22/5*x + 80/3 = 0.
-25, -8
Let f(q) be the third derivative of 2*q**7/525 + 119*q**6/300 - 2*q**5/5 - 508*q**2 + 2. Solve f(i) = 0.
-60, 0, 1/2
Let m(i) be the second derivative of -i**5/20 + 5*i**4/3 + 31*i**3/2 + 36*i**2 + 1771*i. Factor m(q).
-(q - 24)*(q + 1)*(q + 3)
Let b(v) be the second derivative of v + 1/4*v**4 - 17/2*v**3 + 3 + 24*v**2. Suppose b(c) = 0. Calculate c.
1, 16
Let x(n) = 27*n**3 - 1578*n**2 + 1272*n + 360. Let s(i) = 18*i**3 - 789*i**2 + 636*i + 180. Let q(c) = 9*s(c) - 5*x(c). Factor q(d).
3*(d - 1)*(d + 30)*(9*d + 2)
Let s be 0*(-16)/(-176)*(-2)/(-4). Let t(n) be the second derivative of -1/38*n**4 - 2/57*n**3 + s + 0*n**5 + 19*n + 0*n**2 + 1/285*n**6. Factor t(p).
2*p*(p - 2)*(p + 1)**2/19
Let q(v) be the third derivative of -v**7/70 + 3*v**5/20 + v**4/4 - 37*v**2 - 8. Find k, given that q(k) = 0.
-1, 0, 2
Let f(p) be the third derivative of 2*p**7/315 + p**6/40 + p**5/180 - p**4/8 - 5*p**3/18 + 32*p**2 - 13. Factor f(o).
(o - 1)*(o + 1)**2*(4*o + 5)/3
Let g(j) be the third derivative of j**5/20 - 117*j**4 + 109512*j**3 - 353*j**2. Let g(q) = 0. Calculate q.
468
Let t = -37 + 43. Let a(p) be the first derivative of 45*p**4 - 76/5*p**5 + 48*p**2 - 10 + 2*p**t - 196/3*p**3 - 16*p. Solve a(o) = 0.
1/3, 1, 2
Let z(g) be the third derivative of -1/450*g**5 + 0 - 196/45*g**3 + 7/45*g**4 - 5*g + 3*g**2. Factor z(b).
-2*(b - 14)**2/15
Let s(y) be the third derivative of y**5/240 - 13*y**4/32 + 19*y**3/12 - 194*y**2 - 2*y. Suppose s(g) = 0. What is g?
1, 38
Let d(k) = -247*k - 6914. Let p be d(-28). Let u(q) be the second derivative of 2 - 1/5*q**p - 1/60*q**4 - 1/10*q**3 + 2*q. Factor u(m).
-(m + 1)*(m + 2)/5
Let x(l) = 59*l**4 - 26*l**3 - 60*l**2 + 62. Let z(j) = -2*j**4 + j**3 + 2*j**2 - 2. Let h(c) = 2*x(c) + 62*z(c). Determine u so that h(u) = 0.
-1/3, 0, 2
Let q = 1052 + -1049. Let x(v) be the first derivative of -1/6*v**q + 1/8*v - 1/24*v**6 + 0*v**2 + 1/16*v**4 - 7 + 3/40*v**5. Solve x(o) = 0 for o.
-1, -1/2, 1
Suppose -6*w - 11*w + 44 = -3*t, -3*w + 4*t = 20. What is x in 10/3*x**3 + 16/3 - 2/3*x**4 - w*x**2 - 8/3*x = 0?
-1, 2
Suppose -3*f = -42 + 195. Let s = f - -56. Find p such that 11*p**5 + 5*p**4 + 13*p**s - 3 - 4*p**3 + 7*p - 2*p**3 - 2*p**2 - 25*p**5 = 0.
-1, 1, 3
Let c(i) be the first derivative of -10*i**2 - 8*i**3 + 29 + 0*i + 4*i**4 + 24/5*i**5 + 2/3*i**6. Let c(p) = 0. Calculate p.
-5, -1, 0, 1
Let h be 18/(-15)*((-812)/(-210) - 4)*10. Factor 2/5*l**4 + 0 + 0*l - h*l**3 - 2*l**2.
2*l**2*(l - 5)*(l + 1)/5
Let n be -7*12/(-2)*33/63. Let v(g) be the first derivative of 4/3*g**3 + 2*g**2 - 8*g - n. Factor v(s).
4*(s - 1)*(s + 2)
Let m(b) = 6*b**3 - 46*b**2 + 6*b - 6. Let w(i) = -i**2 - i - i**3 + 0*i**2 + 2332 - 2333. Let h(z) = -m(z) + 6*w(z). Factor h(u).
-4*u*(u - 3)*(3*u - 1)
Let w be (-2)/294*(-2)/42*9. Let u = 681/1715 + w. Factor -u*s**2 - 14/5*s - 12/5.
-2*(s + 1)*(s + 6)/5
Let h(b) be the first derivative of -2*b**3/9 + 71*b**2/3 + 148*b + 2317. Factor h(j).
-2*(j - 74)*(j + 3)/3
Let y = 31228223/3747387 - -2/3747387. Suppose -t - 2*t - 2*w = 0, 5*t - 4*w = 22. Suppose -y - 20/3*g + 5/3*g**t = 0. What is g?
-1, 5
Let n be (-249760)/(-85008) + (-34)/1173. Factor -n - 2/11*b**3 + 8/11*b + 8/11*b**2.
-2*(b - 4)*(b - 2)*(b + 2)/11
Let y be (14/56)/((-121)/176) - 41/(-22). Solve y*a**2 + 0*a + 15/8*a**3 + 3/8*a**4 + 0 = 0 for a.
-4, -1, 0
Let n be (-135)/(-567) - (0 - (5 - (-160)/(-35))). Find r such that 26/3*r + 0 + n*r**2 = 0.
-13, 0
Suppose 0 = -177*w + 184*w - 28. Factor -50 - 18 + 52 - w*b + 2*b**2.
2*(b - 4)*(b + 2)
Let p(r) = -4989*r - 389140. Let a be p(-78). Factor -15/4*g**a - 3/2*g - 3/2*g**3 + 0.
-3*g*(g + 2)*(2*g + 1)/4
Suppose -23*o - 16 = -19*o. Let q(m) = 3*m**3 + 3*m**2 + 4*m. Let p(z) = -7*z**3 - 6*z**2 - 9*z. Let a(w) = o*p(w) - 10*q(w). Solve a(i) = 0.
-2, -1, 0
Factor 0*r + 72/5*r**3 + 24/5*r**4 + 0*r**2 + 0 + 2/5*r**5.
2*r**3*(r + 6)**2/5
Let w(o) = 10*o**2 - 519*o + 65. Let j(b) = 29*b**2 - 1036*b + 131. Let c(z) = -3*j(z) + 7*w(z). Factor c(t).
-(t + 31)*(17*t - 2)
Let n(w) be the third derivative of -10*w**7/21 - 9*w**6/2 + 395*w**5/12 - 155*w**4/4 - 120*w**3 + 189*w**2 + 1. Determine r, given that n(r) = 0.
-8, -2/5, 3/2
Let f(v) be the third derivative of 162*v**4 - 42*v**2 + 3888*v**3 + 0 - 2*v + 18/5*v**5 + 1/30*v**6. Factor f(n).
4*(n + 18)**3
Let m = -287/51 + 107/17. Let u(q) be the first derivative of -q - 1/9*q**3 + 38 - m*q**2. Factor u(t).
-(t + 1)*(t + 3)/3
Let v = 2/16023 + -19943296/16023. Let g = v + 1246. What is j in -1/3*j**2 - g + 5/3*j = 0?
1, 4
Let x(p) be the third derivative of p**6/300 + p**5/30 - 14*p**4/15 - 4*p**3 - 4*p**2 + 120. Let x(l) = 0. What is l?
-10, -1, 6
Let u = -3079 - -3084. Let d(f) be the third derivative of 2/9*f**3 + 1/360*f**6 + 1/30*f**u + 8*f**2 + 0*f + 1/8*f**4 + 0. Find l, given that d(l) = 0.
-4, -1
Let c(b) be the third derivative of -b**6/60 - 8*b**5/15 + 19*b**4/3 - 80*b**3/3 + 4835*b**2. Factor c(t).
-2*(t - 2)**2*(t + 20)
Let f(d) be the second derivative of -1 - 8/15*d**6 - 49/6*d**3 - 39/10*d**5 - 28/3*d**4 - 1/42*d**7 + 0*d**2 - d. Factor f(b).
-b*(b + 1)**2*(b + 7)**2
Let v(u) be the third derivative of 1/48*u**4 + 0 + 1/120*u**5 + 3*u**2 - u + 0*u**3. Let v(q) = 0. Calculate q.
-1, 0
Suppose k = -5*p + 2658 - 2673, 3*p = -7*k - 9. Factor 0*o + k - 2*o**3 + 2/3*o**2 + 4/3*o**4.
2*o**2*(o - 1)*(2*o - 1)/3
Let o(w) be the first derivative of -5*w**4/4 + 70*w**3/3 - 175*w**2/2 + 110*w - 2959. Determine b so that o(b) = 0.
1, 2, 11
Let n be (-636)/247 - (-92)/598. Let y = 664/133 + n. Let -y*q**4 - 2/7 + 2/7*q - 20/7*q**3 + 18/7*q**5 + 20/7*q**2 = 0. What is q?
-1, -1/3, 1/3, 1
Let c(y) be the second derivative of y**4/4 + 427*y**3/2 + 639*y**2 - 36*y. Factor c(u).
3*(u + 1)*(u + 426)
Let z(l) be the third derivative of 0 - 2*l**3 + 1/60*l**5 + 90*l + 11/24*l**4 - 2*l**2. Find b such that z(b) = 0.
-12, 1
Let x = 132704 + -132702. Find q, given that 1/4*q**x - 16*q + 256 = 0.
32
Let o(q) be the third derivative of 1 + 1/525*q**7 - 1/30*q**4 - 1/75*q**6 + 0*q**3 + 1/30*q**5 + 3*q**2 + 0*q. Factor o(t).
2*t*(t - 2)*(t - 1)**2/5
Let g(v) be the third derivative of 0*v + 0*v**3 + 1/6*v**4 + 35*v**2 - 1/60*v**6 + 0 - 17/90*v**5. Factor g(h).
-2*h*(h + 6)*(3*h - 1)/3
Let s(z) be the third derivative of 5*z**8/1008 - 20*z**7/63 + 37*z**6/18 - 4*z**5 - 4180*z**2. Factor s(o).
5*o**2*(o - 36)*(o - 2)**2/3
Let g(k) = -k**3 - 55*k**2 - 52*k + 240. Let t be g(-54). Solve -2*o**4 - 256*o + 464*o**2 + 10*o**4 + 111*o**2 + o**2 - t*o**3 = 0.
0, 1/2, 8
Let j be ((-52548)/(-7248))/((-29)/(-1)). Factor -j*z**3 + 0 + 19/8*z - 37/8*z**2.
-z*(z + 19)*(2*z - 1)/8
Factor 290*q - 124 + 4 + 60*q**3 - 20*q**3 - 215*q**2 + 5*q**4.
5*(q - 2)*(q - 1)**2*(q + 12)
Let x be (-22)/30140*(2 + 0). Let b = 681/2740 - x. Let b*m**4 + 3/4*m**3 - 3*m - 2 - 1/2*m**2 = 0. What is m?
-2, -1, 2
Let p(m) = 3*m**4 - 9*m**3 + 25*m**2 + 41*m - 16. Let y(g) = 3*g**4 - 12*g**3 + 24*g**2 + 42*g - 12. Let t(l) = -3*p(l) + 4*y(l). What is u in t(u) = 0?
-1, 0, 3, 5
Let o be (-534)/(-3204) + 21/90. Solve o*f - 6/5*f**2 + 6/5 - 2/5*f**3 = 0 for f.
-3, -1, 1
Let s(l) be the second derivative of 4/15*l**3 - 1/30*l**6 + 1/15*l**4 - 1/210*l**7 - 3/50*l**5 - 45*l + 0 + 0*l**2. Find w, given that s(w) = 0.
-2, 0, 1
Factor -10439855 - 20336*m - 4*m**2 + 6009985 + 610597 - 14298151 - 7729632.
-4*(m + 2542)**2
Let z(i) be the first derivative of 24*i**2 + 112/3*i**3 - 105 - 5*i**4 + 0*i. Factor z(f).
-4*f*(f - 6)*(5*f + 2)
Determine g, given that 287/4*g + 1/4*g**3 - 833/4 - 31/4*g**2 = 0.
7, 17
Let y(c) be the third derivative of c**5/360 + 127*c**4/24 - 763*c**3/36 + 2*c**2 - 2*c - 181. Let y(g) = 0. Calculate g.
-763, 1
Let -54126*s + 15*s**2 + 54146*s - 25 - 10*s**2 = 0