t(a) be the first derivative of 15/8*a**4 + 11 + 0*a + 3*a**2 + c*a**3. Factor t(m).
3*m*(m + 2)*(5*m + 2)/2
Let a(s) be the third derivative of 1/900*s**6 + 83*s**2 + 676/15*s**4 - 26/75*s**5 + 0 + 0*s - 140608/45*s**3. Factor a(k).
2*(k - 52)**3/15
Let d(f) be the first derivative of -96*f + 144*f**2 + 61 - 78/5*f**5 + 22*f**3 - 171/4*f**4 - 3/2*f**6. Find w, given that d(w) = 0.
-4, -2, 1/3, 1
Let x(u) = 11*u**2 - 54*u - 37. Let r(z) = -2*z**2 - z + 1. Let c(t) = -3*r(t) - x(t). Let v(w) = -2*w**2 + 28*w + 18. Let o(l) = -3*c(l) + 7*v(l). Factor o(f).
(f + 1)*(f + 24)
Let q(p) be the third derivative of -p**6/24 + 12*p**5 - 715*p**4/24 + 237*p**2. Factor q(f).
-5*f*(f - 143)*(f - 1)
Suppose 0 = -4*a + 4*n + n + 196, -5*n = 0. Suppose -48*u = -a*u + 9. Factor -19 + j**2 - 26 + u - 12*j - 2*j**2.
-(j + 6)**2
Let m(d) = 21*d**2 + 99*d - 120. Let k(c) be the third derivative of -c**5/12 - 25*c**4/24 + 5*c**3 - 9*c**2 - 4. Let u(a) = 9*k(a) + 2*m(a). Factor u(r).
-3*(r - 1)*(r + 10)
Solve -3890*n + 3865*n - 21*n**2 + 16*n**2 = 0.
-5, 0
Let c(m) be the second derivative of m**5/50 + 319*m**4/30 + 2*m - 465. Find s, given that c(s) = 0.
-319, 0
Let z be 2/8*(-61656)/(-21) + 1. Let f = z + -735. Factor 0 + f*w - 1/8*w**2.
-w**2/8
Let f(o) be the second derivative of 0 + 1/36*o**4 - 102*o + 0*o**2 - 1/9*o**3. Suppose f(z) = 0. What is z?
0, 2
Let a(w) = -3*w**2 - 55*w + 24. Let n be a(-30). Let c be -1 + 0 - 1254/n. Let 4/9*p - c*p**2 - 2/9 = 0. What is p?
1
Let u(k) be the third derivative of -3*k**2 + 21 + 0*k - 17/48*k**4 - 11/60*k**5 + 2/3*k**3 + 1/80*k**6. Factor u(q).
(q - 8)*(q + 1)*(3*q - 1)/2
Factor -114*b**3 + 4209*b**4 - 382 - 4214*b**4 + 407 + 268*b**2 - 174*b.
-(b - 1)**2*(b + 25)*(5*b - 1)
Let j(z) = z**3 + 23*z**2 + 24*z + 46. Let c be (6 - 360/27)*3. Let p be j(c). Suppose 0 - 2/3*y**4 + y**3 - 1/3*y**p + 0*y = 0. What is y?
0, 1/2, 1
Solve 73377 + 3*p**2 + 3183*p - 149900 + 73337 = 0.
-1062, 1
Solve -74 - 47*j - 765*j - 67966*j**2 + 67988*j**2 = 0.
-1/11, 37
Let l(d) be the first derivative of -2*d**5/65 + 33*d**4/26 - 170*d**3/13 - 289*d**2/13 + 886. Factor l(k).
-2*k*(k - 17)**2*(k + 1)/13
Let v(d) = -d**3 + d**2 - d + 8. Let h(g) = 4*g**3 - 62*g**2 + 321*g - 240. Let f(k) = 2*h(k) + 14*v(k). Factor f(z).
-2*(z - 4)*(z + 23)*(3*z - 2)
Let l be (-9)/3 + (35 - 20). Factor l - 331*s + s**2 + 331*s - 4*s**2.
-3*(s - 2)*(s + 2)
Let c(o) = -21*o**3 + 4911*o**2 + 7261*o + 3600. Let l(y) = -y**3 + 244*y**2 + 363*y + 180. Let s(p) = 6*c(p) - 123*l(p). Factor s(j).
-3*(j + 1)**2*(j + 180)
Suppose -h + 4 = 0, 4*y - 23 = -5*h + 9. Suppose y*o + 1 = 10. Factor -5*t - t + t**2 + 15*t**3 - 6*t**4 - t**2 - o*t**2.
-3*t*(t - 2)*(t - 1)*(2*t + 1)
Let n be 0 + 4 + (-399)/49 + 5. Let m(b) = -b**3 + 23*b**2 + 20*b + 96. Let a be m(24). Suppose a - 6/7*f + n*f**2 = 0. Calculate f.
0, 1
Let c(r) = 22*r**2 - 452*r - 208. Let l be c(21). Suppose -3*k + 4*x = -2*k + 4, -2*k + 2*x - 2 = 0. Factor k - 2/9*f**5 + 0*f**3 + 2/9*f - 4/9*f**4 + 4/9*f**l.
-2*f*(f - 1)*(f + 1)**3/9
Let z(i) be the first derivative of -4*i**3/3 - 70*i**2 + 3000*i + 4812. Factor z(a).
-4*(a - 15)*(a + 50)
Let b(i) be the third derivative of i**6/160 + 381*i**5/80 + 36099*i**4/32 - 36481*i**3/8 + 754*i**2. Suppose b(r) = 0. Calculate r.
-191, 1
Suppose -196*f + 570 = 429*f - 680. Factor 33/5*n - 3/5*n**f - 6.
-3*(n - 10)*(n - 1)/5
What is l in -2966/5 + 2968/5*l - 2/5*l**2 = 0?
1, 1483
Let j(q) be the third derivative of 0*q**3 + 0*q + 0 - 1/144*q**4 - 12*q**2 + 1/360*q**5. Factor j(z).
z*(z - 1)/6
Let d be 4 - (-7 + 4) - (-3 - -6). Find n, given that 244*n + 24*n**2 + 233*n - 465*n + 3*n**d + 15*n**3 = 0.
-2, -1, 0
Let v = 36787/3 - 172718/15. Let l = 748 - v. Factor l*a**3 + 0 + 2/5*a + 3/5*a**2.
a*(a + 1)*(a + 2)/5
Suppose 21 = k - 0*v - 2*v, 9 = -3*v. Suppose k = -4*w + 9*w. Let -62*o + 36*o**2 + 14*o**3 + 8 + 4*o**4 + 6*o**w + 90*o = 0. Calculate o.
-2, -1
Suppose 27 - 14 = 70*j + 13. Factor 6 + j*w - 3/2*w**2.
-3*(w - 2)*(w + 2)/2
Let t(j) = 2*j + 96. Let u be t(-14). Determine a, given that 2*a**2 - 25*a - 31*a + 16 + u*a = 0.
-4, -2
Let h be 21/(-140)*(18/63)/((-12)/56). Factor -2*q**2 - 9/5*q - h*q**3 + 0.
-q*(q + 1)*(q + 9)/5
Let u be (-7 - ((-72)/(-45) + -5))*(-160)/24. What is w in u + 4*w + 1/6*w**2 = 0?
-12
Let y(s) be the third derivative of 35*s**8/48 + 487*s**7/6 - 1425*s**6/4 + 335*s**5/3 + 1985*s**4/3 + 480*s**3 - 7*s**2 - 41*s + 1. What is x in y(x) = 0?
-72, -2/7, 1, 2
Let c(t) be the second derivative of t**7/3360 + 7*t**6/1440 + t**5/80 - 4*t**3/3 - 40*t. Let g(h) be the second derivative of c(h). Factor g(l).
l*(l + 1)*(l + 6)/4
Let p = 201397 + -201395. Factor -2/11*x**5 - 6/11*x**4 + 4/11*x**p - 4/11*x**3 + 6/11*x + 2/11.
-2*(x - 1)*(x + 1)**4/11
Let h(z) = -62*z**2 + 11817*z - 6914899. Let v(u) = -13*u**2 + 2364*u - 1382980. Let l(j) = -12*h(j) + 57*v(j). Determine f, given that l(f) = 0.
1176
Suppose -665 = 39*q + 38*q - 819. Factor -1/4*m**3 + 0 + 1/4*m + 0*m**q.
-m*(m - 1)*(m + 1)/4
Let l(b) be the third derivative of 1466521*b**5/180 + 1211*b**4/18 + 2*b**3/9 + 1715*b**2. Find f, given that l(f) = 0.
-2/1211
Let b(k) = k**3 - 10*k**2 + k - 8. Let z be b(10). Suppose z*u = 9*u - 119. Factor -104 - 21 - 30*s**2 + 200*s + u*s**3 - 9*s**4 - 57*s**3 + 4*s**4.
-5*(s - 1)**2*(s + 5)**2
Let y(s) be the first derivative of -s**6/2 - 33*s**5/5 - 129*s**4/4 - 69*s**3 - 54*s**2 + 2335. Find r, given that y(r) = 0.
-4, -3, -1, 0
Let m = -516 + 15997/31. Let o = 22/279 + m. Solve 2/9*z**3 + 0*z + 0 - o*z**2 = 0 for z.
0, 1/2
Solve 16*g**4 - g**5 + 9808*g - 430 - 3*g**5 + 1365*g**3 - 4466 - 6136*g**2 - 153*g**3 = 0.
-18, 1, 2, 17
What is y in 1/6*y**4 + 128/3 + 193/6*y**2 - 80*y + 5*y**3 = 0?
-16, 1
Let d = 2818 - 19556/7. Let y = d - 22. Factor 2/7*t**3 - 8/7 + y*t - 10/7*t**2.
2*(t - 2)**2*(t - 1)/7
Let f(h) = -3*h**4 - h**3 + h - 8. Let b(j) = -12*j**4 + 568*j**3 + 28206*j**2 + 80657*j + 52976. Let g(r) = -b(r) + 5*f(r). Find x such that g(x) = 0.
-94, -2, -1
Let p be (22/231)/(16/144)*(-14)/(-6). Find i, given that 8 - 5/3*i - 1/3*i**p = 0.
-8, 3
Let q(s) be the first derivative of 59168*s**4 - 9632*s**3/3 + 49*s**2 - 10796. Solve q(b) = 0.
0, 7/344
Factor -38 + 2/7*i**2 + 264/7*i.
2*(i - 1)*(i + 133)/7
Let k(o) = 20*o + 404. Let d be k(-21). Let q be d/14 - (-180)/35. Factor q - 4/5*n**2 - 16/5*n.
-4*(n - 1)*(n + 5)/5
Suppose 42*l - 70*l = -41*l. Let h(k) be the third derivative of 0*k + 1/40*k**5 + 0*k**3 - 1/240*k**6 + l + 20*k**2 + 0*k**4. Let h(j) = 0. Calculate j.
0, 3
Let b(k) be the second derivative of -k**9/5040 + k**8/140 - 8*k**7/105 - k**4/12 + 7*k**3/6 + 41*k. Let o(d) be the third derivative of b(d). Factor o(u).
-3*u**2*(u - 8)**2
Let l(n) be the third derivative of n**5/80 + 95*n**4/16 + 189*n**3/8 + 2348*n**2. Suppose l(k) = 0. What is k?
-189, -1
Let t(y) be the second derivative of 3*y**5/80 + 103*y**4/16 + 2491*y**3/8 - 25281*y**2/8 - 11*y - 98. Factor t(v).
3*(v - 3)*(v + 53)**2/4
Let m(w) be the first derivative of w**3/7 - 4233*w**2/7 + 5972763*w/7 + 3890. Solve m(t) = 0.
1411
Let s be 1180/4*(-4)/(-5). Suppose -36 = 5*w - s. Factor 48*n**2 + 52*n**2 + w*n - 146*n**2 + 50*n**2 + 36.
4*(n + 1)*(n + 9)
Let v(w) be the third derivative of -w**7/280 + 7*w**6/80 - 3*w**5/20 - 7*w**4/16 + 13*w**3/8 + 283*w**2 - 3. Suppose v(h) = 0. Calculate h.
-1, 1, 13
Suppose 2*o + 2*j + 64 = 476, o = -3*j + 198. Let x be (0 - 2)/((-245)/o). Determine a, given that -9/7 + 3/7*a + x*a**2 = 0.
-1, 3/4
Let d(p) be the third derivative of 0*p**4 + 0*p**6 + 8*p + 1/1260*p**7 + 0 + 1/36*p**3 - 1/180*p**5 + 3*p**2. Determine m so that d(m) = 0.
-1, 1
Solve 4/3*a**2 + 15148/3*a + 0 = 0 for a.
-3787, 0
Solve -10*c + 56*c - 101*c - 129*c**2 - 21*c - 50*c**3 + 3*c**4 = 0.
-4/3, -1, 0, 19
What is u in 2/5*u**3 + 0*u - 6/5*u**2 + 8/5 = 0?
-1, 2
Let h(n) = 4*n - 8. Let t(s) = s + 1. Let d(y) = 2*h(y) - 20*t(y). Let z be d(-3). What is p in z - 2/7*p**4 - 4/7*p**2 + 6/7*p**3 + 0*p = 0?
0, 1, 2
Suppose 2*q = -12*q + 56. Solve -412*p**2 + 80 - 132*p**q - 97*p**3 + 144*p + 104*p**4 + 313*p**3 = 0 for p.
-2/7, 1, 2, 5
Let r(p) be the first derivative of p**5/25 + 39*p**4/20 + 98*p**3/5 + 368*p**2/5 + 96*p + 1351. Suppose r(d) = 0. What is d?
-30, -4, -1
Let v(x) be the secon