**2 + 62*m**5 - 25*m**4 = 0.
-2/5, 0, 1
Let j(d) be the third derivative of 56/9*d**3 - 17*d**2 - 1/180*d**6 + 1/5*d**5 - 5/3*d**4 + 0 + 5*d. Factor j(p).
-2*(p - 14)*(p - 2)**2/3
Let n(d) be the second derivative of d**5/30 + 5*d**4/9 - 16*d**3 - 3456*d - 1. Determine i, given that n(i) = 0.
-18, 0, 8
Let w = -513 - -516. Suppose -w*x - 2*d = -25, 4*d = 36*x - 32*x. Solve 0 + 1/2*s**2 + 0*s + 1/2*s**x - 1/2*s**4 - 1/2*s**3 = 0.
-1, 0, 1
Let v(q) be the first derivative of -1/6*q**4 + 4/9*q**3 + 5 + 12*q**2 + 1/45*q**5 + 0*q. Let s(r) be the second derivative of v(r). Factor s(b).
4*(b - 2)*(b - 1)/3
Let x = 2650/847 + 140/121. Let q = 2 - -1. Let 2*w**2 + 18/7 + 2/7*w**q + x*w = 0. Calculate w.
-3, -1
Let v(p) = -p**3 + 12*p**2 - 11*p + 13. Let q be v(11). Let m(w) be the first derivative of 8 - 32 + 26 + q + 3*w**2 + w**3. Factor m(g).
3*g*(g + 2)
Let o(s) be the third derivative of -s**7/840 - 11*s**6/40 - 1077*s**5/40 - 11583*s**4/8 - 369603*s**3/8 - s**2 - 480. Factor o(j).
-(j + 27)**2*(j + 39)**2/4
Solve -1/6*o**2 + 268*o - 107736 = 0 for o.
804
Let p be (-1)/((-18)/552)*(0 + 11/22). Factor -4*t - p*t**2 + 24 - 1/3*t**4 - 13/3*t**3.
-(t - 1)*(t + 2)*(t + 6)**2/3
Factor 46 + 978*s**2 - 248 - 980*s**2 + 167*s + 37*s.
-2*(s - 101)*(s - 1)
Suppose 26*n + 294 = -174. Let b be (n + 17)/(-3 - (-44)/20). Factor -b + 1/4*i**2 + i.
(i - 1)*(i + 5)/4
Let o(x) be the third derivative of -x**7/5040 - 17*x**6/720 - 289*x**5/240 - 11*x**4/6 + 59*x**2. Let v(r) be the second derivative of o(r). Factor v(p).
-(p + 17)**2/2
Let c(t) = 8*t**2 - 18*t + 18. Let i(v) = v**2 + v + 3. Let b(r) = c(r) - 6*i(r). Factor b(l).
2*l*(l - 12)
Let j be (-1)/3*-1 - (-880)/240. Suppose 0 = -s + j*a + 10, s - 4 = -0*s + a. Factor 0 - f + 3/4*f**s + 1/4*f**3.
f*(f - 1)*(f + 4)/4
Let v = 2024 - 2020. Let x(w) be the second derivative of 0 - 1/70*w**7 - 1/2*w**3 + 1/2*w**v - 17*w - 3/10*w**5 + 3/10*w**2 + 1/10*w**6. Factor x(u).
-3*(u - 1)**5/5
Let r be (-84)/35*4/(16040/(-25)). Let a = r - -353/3208. Let 1 - 3/4*s + a*s**2 = 0. Calculate s.
2, 4
Let w(c) be the third derivative of 4*c**6/105 - 79*c**5/210 + 59*c**4/84 + 4*c**3/21 - 995*c**2. Factor w(h).
2*(h - 4)*(h - 1)*(16*h + 1)/7
Let n(a) be the third derivative of -a**6/10 + 53*a**5/4 - 2211*a**4/4 + 1089*a**3/2 + 576*a**2 - a. Let n(j) = 0. Calculate j.
1/4, 33
Let h be (0 + 73/(-2))*2. Let n = h - -75. Find r, given that 140*r**n - 171*r**4 + 15*r + 109*r - 149*r**4 - 24 - 928*r**3 = 0.
-3, -2/5, 1/4
Let i be 3/(-4)*(2 + (-21)/9 + (-2574)/702). Determine z so that 2/3*z**i - 16/3*z**2 + 14/3*z + 0 = 0.
0, 1, 7
Let k(o) = 2*o**3 + o + 1. Let t(w) = w**3 + 132*w**2 - 22*w - 3. Let v(j) = 3*k(j) + t(j). Factor v(r).
r*(r + 19)*(7*r - 1)
Let m be 0*(-50)/(-2200)*11. Factor 0 + 8/5*w**2 + 4/5*w**3 - 4/5*w**4 + m*w.
-4*w**2*(w - 2)*(w + 1)/5
Find o such that 19*o + 1290*o**3 - 127*o - 341*o**4 - 168*o - 769*o**2 + 116*o**4 - 20 = 0.
-2/15, 1, 5
Let y(i) = 49*i - 98*i + 50*i + 9. Let o be y(-4). Solve 50*v**2 + 200*v**4 + 11*v - v + 80*v**5 - o*v + 165*v**3 = 0.
-1, -1/4, 0
Let y(h) be the second derivative of -1/24*h**4 + 0 - 163*h + 0*h**2 + h**3. Suppose y(d) = 0. What is d?
0, 12
Let w(b) = -71013*b + 426082. Let x be w(6). Find q such that -2*q**3 + 33/5*q**x - 9/5*q**5 + 19/5*q - 3/5 - 6*q**2 = 0.
-1, 1/3, 1, 3
Solve -3/4*r**2 + 5733/4 - 951/2*r = 0.
-637, 3
Let h = -4406 + 4411. Let o(t) be the second derivative of 0*t**3 + 1/2*t**4 + 9/20*t**h + 0*t**2 + 0 + 1/10*t**6 - 8*t. Let o(v) = 0. Calculate v.
-2, -1, 0
Suppose 123 = -7*o - o + 1123. Let t(w) be the first derivative of 31 - 325/2*w**2 - o*w + 7*w**5 + 5/2*w**4 - 5/6*w**6 - 230/3*w**3. Factor t(a).
-5*(a - 5)**2*(a + 1)**3
Factor 83/2*x**2 + 5/2*x**3 + 88*x - 42.
(x + 3)*(x + 14)*(5*x - 2)/2
Let a(b) = 218 - 18*b - 9*b - 21*b - 6*b. Let k be a(4). Factor 0 - 1/4*q + 1/4*q**4 + 3/4*q**k - 3/4*q**3.
q*(q - 1)**3/4
Let u(m) = -6*m**2 - 12. Let h(j) = j**3 - 12*j**2 + 20*j - 5. Let d be h(10). Let f(r) = 3*r**2 - r + 6. Let z(a) = d*u(a) - 9*f(a). Factor z(n).
3*(n + 1)*(n + 2)
Let v = -5/12068 + 24231/229292. Factor -23814/19*h - 500094/19 - 378/19*h**2 - v*h**3.
-2*(h + 63)**3/19
Let l = 191 - 188. Factor 2*u - 1063 + 1055 - 8*u + l*u**2 - 4*u**2.
-(u + 2)*(u + 4)
Factor -27*t**2 - 17*t**3 - 10*t**3 + 40*t**3 + 324 - 6*t**3 - 4*t**3.
3*(t - 6)**2*(t + 3)
Let n(o) be the first derivative of 0*o - 51 + 35/4*o**4 + 0*o**2 - 40/3*o**3 + o**5. What is j in n(j) = 0?
-8, 0, 1
Factor -27*q + q**3 + 2220*q**2 - 7*q - 2235*q**2.
q*(q - 17)*(q + 2)
Let f(a) be the first derivative of -a**6/12 + 21*a**5/5 + 23*a**4/4 - 64*a**3/3 - 45*a**2/4 + 43*a - 8384. Let f(d) = 0. Calculate d.
-2, -1, 1, 43
Let i(r) be the first derivative of -1/7*r**4 - 50 - 30/7*r**2 + 12/7*r**3 + 4*r. Let i(q) = 0. Calculate q.
1, 7
Let s(j) be the third derivative of j**7/5460 - 7*j**6/2340 + j**5/130 - 7*j**3/2 + 25*j**2 + 5. Let g(y) be the first derivative of s(y). Factor g(p).
2*p*(p - 6)*(p - 1)/13
Let g(t) be the third derivative of -1 - 16*t**2 - 1/42*t**5 + 4/21*t**3 + 1/140*t**6 - 1/28*t**4 + 0*t + 1/735*t**7. Let g(y) = 0. What is y?
-4, -1, 1
Let 2/7*o**3 - 18/7*o**4 + 0*o + 0 + 0*o**2 = 0. What is o?
0, 1/9
Factor 47 + 68 + 20*u - 204 + 5*u**2 + 64.
5*(u - 1)*(u + 5)
Solve 170*m**2 + 594 + 243*m + m**3 + 435 + 1162*m + 201 - 6*m**3 = 0 for m.
-6, -1, 41
Factor 1936 - s**3 + 13*s**3 - 14612*s**2 + 2932 + 9732*s.
4*(s - 1217)*(s - 1)*(3*s + 1)
Factor 3650402/3*t**2 + 2/3 - 5404/3*t.
2*(1351*t - 1)**2/3
Let r(i) be the first derivative of -i**6/120 + 13*i**5/60 - 35*i**4/24 - 49*i**3/6 + 67*i**2 + 148. Let x(k) be the second derivative of r(k). Factor x(f).
-(f - 7)**2*(f + 1)
Let y(g) be the first derivative of -250 + 32/9*g**3 + 4/3*g + 11/3*g**2 + 7/6*g**4. Factor y(j).
2*(j + 1)**2*(7*j + 2)/3
Let o = -28394/515 + 5720/103. Factor -o*b**3 + 94/5*b**2 + 1058/5 - 230*b.
-2*(b - 23)**2*(b - 1)/5
Suppose 6*v - 5*p = 2*v - 15, 35 = -4*v + p. Let h = 12 + v. Suppose -8 - 1 + 4 - 3 + 16*k**h + 28*k = 0. What is k?
-2, 1/4
Let f(i) be the first derivative of 0*i**2 + 1/3*i**3 - 72 - 4*i. Factor f(o).
(o - 2)*(o + 2)
Let p = 1/452 + 1351/2260. Let z = -668/5 + 139. Factor -81/5*x - z*x**2 - 81/5 - p*x**3.
-3*(x + 3)**3/5
Let p(x) = -x**3 - 14*x**2 - 26*x - 7. Let a be p(-13). Suppose 7*s**2 + 132*s - a*s - 4*s**2 = 0. What is s?
0, 10
Let d(j) = -25*j**4 - 430*j**3 + 2825*j**2 - 10. Let p(g) = 18*g**4 + 287*g**3 - 1884*g**2 + 7. Let z(i) = 7*d(i) + 10*p(i). Factor z(r).
5*r**2*(r - 17)*(r - 11)
Find i such that -5408 - 2*i**5 - 2370*i - 1997*i - 1605*i - 4322*i**2 - 2882*i - 854*i**3 - 90*i - 70*i**4 = 0.
-13, -4, -1
Solve 45*z**3 + 75*z**4 + 3*z**5 + 67*z**3 + 5*z**3 + 21*z**3 = 0.
-23, -2, 0
Let f(b) be the second derivative of -b**7/70 - 62*b**6/25 - 594*b**5/5 - 3413*b**4/10 + 19337*b**3/10 + 33489*b**2/5 + 3980*b. Suppose f(z) = 0. What is z?
-61, -3, -1, 2
Suppose -2232/5*o + 928/15 - 798/5*o**3 + 2552/3*o**2 - 98/15*o**4 = 0. What is o?
-29, 2/7, 4
Let l be -5 + 4 + 4 - (1 - 0). Let n be (-206)/(-30) + 2/15 - l. Factor -3*z**n + 8*z - 4*z - 67*z**4 + 59*z**4 - z**5 + 8*z**2.
-4*z*(z - 1)*(z + 1)**3
Let j(d) be the first derivative of -5*d**3/3 - 55*d**2/2 - 140*d + 779. Factor j(o).
-5*(o + 4)*(o + 7)
Factor -2/3*z**2 + 0*z**4 + 0*z + z**3 - 1/3*z**5 + 0.
-z**2*(z - 1)**2*(z + 2)/3
Let d(y) = -8*y**2 + 100*y + 236. Let f be d(-2). Let -6/13*s**3 + 2/13*s**f - 10/13*s + 0 - 18/13*s**2 = 0. Calculate s.
-1, 0, 5
Determine p so that 94*p**2 + 982*p - 241081 - 854*p**2 + 759*p**2 = 0.
491
Determine a so that 791*a**2 + 4*a**4 - 603*a**3 + 14336*a + 451*a**3 + 146*a**2 - 163840 + 85*a**2 + 130*a**2 = 0.
-10, 16
Suppose 58*j - 232 + 54 = 54. Suppose 768/7*c + 5808/7*c**3 + 3960/7*c**2 + 48/7 - 3993/7*c**j = 0. Calculate c.
-2/11, 2
Let l(v) = v**2 + 6*v. Let i(h) = 3*h**2 - 212*h - 476. Let o(u) = -2*i(u) + 10*l(u). Suppose o(a) = 0. Calculate a.
-119, -2
Suppose 269 + 1023 = 19*m. Let q be (-72)/84 + m/14. Solve q*d**2 - 3/4*d**5 - d**4 + 11/4*d**3 + 0 + d = 0.
-2, -1, -1/3, 0, 2
Let a be (1 - 0)/(14/(840/(-228)) - -4). Find h, given that 18/5*h**4 - 24/5*h**3 + 0 + 0*h + 14/5*h**a - 8/5*h**2 = 0.
-2, -2/7, 0, 1
Let j(w) = w**2 - w - 2. Let l(x) be the first derivative of -x**4/2 - 2