*s + 5*s**3 - 2*s + 74 + 2*s**2 - k - 62*s**2.
5*(s - 12)*(s - 1)*(s + 1)
Let b = 7735 - 185639/24. Let c(j) be the second derivative of -b*j**4 + 0*j**2 - 1/12*j**3 + 0 + 10*j. Let c(p) = 0. Calculate p.
-1, 0
Let a(z) = -2*z**4 + 227*z**3 - 1505*z**2 - 213*z + 1528. Let m(t) = -t**4 + 76*t**3 - 502*t**2 - 72*t + 509. Let l(u) = -2*a(u) + 7*m(u). Factor l(n).
-3*(n - 13)**2*(n - 1)*(n + 1)
Let t be (-143)/(-7) - 21/49. Factor -t*u**2 + 4*u - 6*u**2 + 30*u**2 - 8.
4*(u - 1)*(u + 2)
Let g(k) = k**3 + 45*k**2 + 192*k - 276. Let s be g(-40). Let w(b) be the second derivative of -b**3 - s*b - b**2 - 1/2*b**4 + 0 - 1/10*b**5. Factor w(q).
-2*(q + 1)**3
Determine l, given that 30 - 68 + 84*l**2 + 596*l + 94 = 0.
-7, -2/21
Let o = 152050/13 - 11696. Let u(z) be the second derivative of 0 - 3/13*z**3 + 7/78*z**4 + o*z**2 - 14*z. Suppose u(p) = 0. What is p?
2/7, 1
Let n(h) = h**3 + 8*h**2 + 10*h + 21. Let g be n(-7). Suppose -3*i - 8 = 4, g = -2*u + 2*i + 12. Find d, given that 4 - d**u + 3*d**2 + 4 - 3*d - 7*d = 0.
1, 4
Let t(s) be the second derivative of -13/20*s**4 + 1 - 13/10*s**3 - 9/10*s**2 - 38*s - 9/100*s**5. Determine q so that t(q) = 0.
-3, -1, -1/3
Let t(a) be the third derivative of -1/240*a**5 + 17/6*a**3 + 9*a**2 + 0*a + 2 - 1/3*a**4. Factor t(s).
-(s - 2)*(s + 34)/4
Let l(n) be the third derivative of -4879681*n**7/1155 + 207646*n**6/55 - 79524*n**5/55 + 3384*n**4/11 - 432*n**3/11 + 1468*n**2. Factor l(o).
-2*(47*o - 6)**4/11
Suppose 3*j - 8 = -5*o, -116 = 2*j - 108. Suppose o*z = -2*g + 18, -6*g = z - 8*g + 8. Solve 338/9 + 2/9*n**z + 52/9*n = 0 for n.
-13
Let u = 10591/31809 + 4/10603. Factor -3*s**3 - 7/3*s**2 + 0 - 2/3*s - 5/3*s**4 - u*s**5.
-s*(s + 1)**3*(s + 2)/3
Suppose 1712 = 222*w + 206*w. Suppose 2/7*f + 0 - 2/7*f**2 + 2/7*f**w - 2/7*f**3 = 0. Calculate f.
-1, 0, 1
Determine w so that 2*w**2 - 2208196 - 6*w**2 + 1187*w - 7131*w = 0.
-743
Let o = -2/392817 + 14534243/2749719. Factor 10/7*r**2 - 1/7*r**3 + 26/7 + o*r.
-(r - 13)*(r + 1)*(r + 2)/7
Suppose -49*k + 51*k - 6 = 0. Factor 11*s**4 - 7*s**5 - 25*s**k + 3*s**5 - 31*s**3 + s**2 + 49*s**3 - s**5.
-s**2*(s - 1)**2*(5*s - 1)
Let x be 351/(-26) + 459/34. Find i, given that 1/5*i**4 + 1/5*i**5 + 0 + x*i + 0*i**2 - 2/5*i**3 = 0.
-2, 0, 1
Let m(q) be the second derivative of 3*q**5/20 + 5*q**4/6 + 11*q**3/6 + 2*q**2 + 8*q - 941. Factor m(d).
(d + 1)**2*(3*d + 4)
Suppose 32*a - 33*a + 997 = 0. Let s = -995 + a. Factor 4/5*w + 6/5 - 2/5*w**s.
-2*(w - 3)*(w + 1)/5
Let g(l) = l**3 + 5*l**2 - l - 5. Suppose 6*p = -p - 35. Let q be g(p). Determine u, given that -19 + 19 + 4*u + 4*u**2 + q*u**2 = 0.
-1, 0
Suppose 9*j - 39 = -12. Solve -39*k - 3*k**3 - 4*k**3 - 6*k**2 - 30 + 11*k**3 - k**j = 0 for k.
-2, -1, 5
Let k(g) be the second derivative of g**5/100 - 7*g**4/6 + 23*g**3/10 + 20*g - 60. Determine h so that k(h) = 0.
0, 1, 69
Let g(x) = -13245*x**2 + 564*x - 15. Let b(s) be the second derivative of 6623*s**4/12 - 47*s**3 + 7*s**2/2 - 76*s. Let j(k) = -9*b(k) - 4*g(k). Factor j(u).
-3*(47*u - 1)**2
Determine a so that 18/11*a**5 - 32/11*a - 118/11*a**2 + 40/11 + 102/11*a**4 + 38/11*a**3 = 0.
-5, -1, 2/3
Let r(d) be the first derivative of -8 + 7*d**4 + 0*d**2 + 2/3*d**6 + 0*d + 4*d**5 + 4*d**3. Factor r(j).
4*j**2*(j + 1)**2*(j + 3)
Let p be ((((-47256)/(-14))/6)/1)/(-105). Let o = -6/245 - p. Determine d so that -o*d**2 - 4/3 + 14/3*d + 2*d**3 = 0.
2/3, 1
Let o(k) = k + 27. Let y be o(-22). Suppose 0 = -5*v + 2*a - y + 16, 3*v = a + 7. Factor -1/6*l**v + 1/3*l**2 + 1/6*l - 1/3.
-(l - 2)*(l - 1)*(l + 1)/6
Let t(n) be the first derivative of 3*n**4/4 + 16*n**3 + 102*n**2 + 240*n - 591. Factor t(z).
3*(z + 2)*(z + 4)*(z + 10)
Let a(l) be the second derivative of -l**5/90 - 23*l**4/54 + 110*l**3/9 + 7014*l. Solve a(c) = 0.
-33, 0, 10
Suppose 6 = 665*z - 664*z. Let y be (64/38)/(z/15). Factor 4/19*g**5 + 32/19 + 0*g + y*g**3 - 30/19*g**4 - 80/19*g**2.
2*(g - 2)**4*(2*g + 1)/19
Let g(u) be the first derivative of 7*u**4/10 - 6*u**3/5 - 39*u**2/5 - 46*u/5 - 7909. Factor g(b).
2*(b + 1)**2*(7*b - 23)/5
Factor 1/8*d**5 - 309/4*d**4 + 0*d + 0 + 31827/2*d**3 - 1092727*d**2.
d**2*(d - 206)**3/8
Let h be (195/20 - 4) + 21/(-28). Let -20*z**h + z**4 + 18*z**5 + 0*z**4 + 5*z**4 = 0. What is z?
0, 3
Let l(a) be the first derivative of 5*a**6/6 - 8*a**5 + 14*a**4 - 32*a**3/3 - 3*a**2/2 + 23. Let c(v) be the second derivative of l(v). Factor c(h).
4*(h - 4)*(5*h - 2)**2
Suppose -3 = -218*f - 1 - 2. Let g(t) be the third derivative of 1/60*t**3 - 21*t**2 - 1/600*t**5 + 0 + f*t + 0*t**4. Factor g(b).
-(b - 1)*(b + 1)/10
Let f(a) = -5*a**2 - 2660*a - 359115. Let n(s) = 4*s + 1. Let l(c) = -f(c) + 5*n(c). Suppose l(o) = 0. Calculate o.
-268
Let s(q) be the second derivative of q**5/80 - 5*q**4/48 - q**3/12 + 3*q**2 - 42*q. Factor s(o).
(o - 4)*(o - 3)*(o + 2)/4
Let f be 3/(-12) - 76/32*-38. Factor -439 + 678*y + 5*y**3 - 138*y - f*y**2 + 0*y**3 - 641.
5*(y - 6)**3
Suppose 5*z - 14*i + 18*i + 5 = 0, -4*i = -5*z + 35. Solve 11*y**2 - 19*y + 6*y**2 - 2*y**3 + z*y**3 + y = 0 for y.
-18, 0, 1
Let i(a) be the first derivative of a**6/1440 + a**5/120 - a**4/8 - 193*a**3/3 + 244. Let b(v) be the third derivative of i(v). Factor b(w).
(w - 2)*(w + 6)/4
Let y(r) = 9*r + 490. Let s be y(-49). Suppose 7*n + 49 - s = 0. Determine m so that n + 1/5*m**2 + 1/5*m = 0.
-1, 0
Let y(a) be the second derivative of -a**7/14 - 29*a**6/10 + 279*a**5/20 - 95*a**4/4 + 16*a**3 + 1338*a. Factor y(j).
-3*j*(j - 1)**3*(j + 32)
Let u(y) be the first derivative of 2*y**3/15 - 178*y**2 + 79210*y - 1321. Solve u(b) = 0 for b.
445
Let t be (-15 + 13)*(1 - -1). Let s be t/(-40)*28/2. Factor 49/10 + 1/10*u**2 + s*u.
(u + 7)**2/10
What is h in 2/9*h**3 + 0 - 3548/9*h**2 + 1573538/9*h = 0?
0, 887
Let c(w) be the first derivative of w**6/216 + 7*w**5/360 + 53*w**3/3 - 4. Let i(m) be the third derivative of c(m). What is j in i(j) = 0?
-7/5, 0
Let p be 1911/(-196) - (-8 + (-8 - (1 - 7))). Let -3/4*f**2 + 1/4*f**4 + p*f + 1/2 - 1/4*f**3 = 0. What is f?
-1, 1, 2
Factor -2/13*x**3 - 1632/13 - 848/13*x - 118/13*x**2.
-2*(x + 4)**2*(x + 51)/13
Factor -261/2 - 1/4*p**2 - 47/4*p.
-(p + 18)*(p + 29)/4
Let l be ((-550)/143 - (-4)/(-26))*18/(-36). Let b(z) be the third derivative of 0*z**4 + 0 - 1/600*z**6 - 1/300*z**5 + l*z**2 + 0*z**3 + 0*z. Factor b(q).
-q**2*(q + 1)/5
Factor -1/7*y**3 - 103/7*y - 31/7*y**2 + 135/7.
-(y - 1)*(y + 5)*(y + 27)/7
Let l(q) be the first derivative of q**3/15 - 679*q**2/5 + 461041*q/5 - 3671. Factor l(b).
(b - 679)**2/5
Let s(x) = 5*x**5 + 30*x**4 - 100*x**3 - 255*x**2 - 10*x. Let j(n) = -2*n**5 - 15*n**4 + 50*n**3 + 129*n**2 + 6*n. Let g(v) = 5*j(v) + 3*s(v). Factor g(i).
5*i**2*(i - 3)*(i + 2)*(i + 4)
Let q(l) be the first derivative of 3*l**5/35 - 291*l**4/28 + 2091*l**3/7 + 39015*l**2/14 - 2570. Factor q(z).
3*z*(z - 51)**2*(z + 5)/7
Let f be 90/(-135)*(-4 - (5 - 6)). Let b(o) be the third derivative of 0 + 4*o**f + 0*o - 1/3*o**5 + 0*o**4 + 0*o**3 - 1/24*o**6. Let b(i) = 0. Calculate i.
-4, 0
Let f(c) be the third derivative of -5*c**8/504 + 4*c**7/315 + c**6/30 - 2*c**5/45 - c**4/36 - 3125*c**2. Let f(h) = 0. What is h?
-1, -1/5, 0, 1
Let v(w) be the first derivative of -w**5/15 - 19*w**4/12 + 7*w**3/9 + 127*w**2/6 - 38*w + 8521. Let v(c) = 0. What is c?
-19, -3, 1, 2
Let c(d) be the third derivative of d**7/840 + d**6/60 + 3*d**5/40 + 10*d**3 - 22*d**2. Let p(i) be the first derivative of c(i). Factor p(y).
y*(y + 3)**2
Let 190*j**2 + 945*j**3 - 45/4*j**5 + 0 + 805/2*j**4 + 0*j = 0. What is j?
-2, -2/9, 0, 38
Suppose -13*b + 332 - 296 = -b. Let y(m) be the second derivative of 2/3*m**4 + 19*m - b*m**2 + 0 + 11/3*m**3. Suppose y(t) = 0. Calculate t.
-3, 1/4
Suppose -4*u + 15 - 5 = q, 16 = 5*u + 3*q. Let x(i) be the first derivative of -1/30*i**3 + 0*i + 9/20*i**2 - u. What is m in x(m) = 0?
0, 9
Let s(u) be the third derivative of -u**5/390 - 491*u**4/78 - 241081*u**3/39 + 4129*u**2. Find t, given that s(t) = 0.
-491
Let a = 1443 - 1443. Let r(d) be the second derivative of -7/4*d**4 - 4*d**3 - 21*d + a - 3/20*d**5 + 24*d**2. Factor r(q).
-3*(q - 1)*(q + 4)**2
Factor 22*j**3 - 76 + 148*j - 11*j**3 - 152*j**2 + 84*j**2 - 10*j**3 - 5*j**3.
-4*(j - 1)**2*(j + 19)
Let q be ((-70)/(-60)*-2)/((-5)/15). Let u be (12/(-