i).
-3*i**2*(i - 5)**2*(i - 1)/5
Let m(o) be the third derivative of o**8/50400 + o**7/3150 + o**6/450 + o**5/2 - o**3/3 + 133*o**2. Let y(x) be the third derivative of m(x). Solve y(f) = 0.
-2
Let j(w) = w**2 + 260*w + 3388. Let u be 5*5*2/(-10). Let k(n) = 260*n + 3390. Let v(z) = u*j(z) + 4*k(z). Factor v(h).
-5*(h + 26)**2
Suppose 0*c - 5*c - 3 = 3*z, -3*c - 9 = 0. Solve z*m**4 + 35*m**3 - 2*m**4 - 10*m**2 - 35*m**5 + 8*m**4 + 7172*m - 7172*m = 0.
-1, 0, 2/7, 1
Let z = -565/7 + 81. Let x(k) = k**3 + 51*k**2 + 46*k - 200. Let g be x(-50). Factor -z*w**2 + g + 2/7*w.
-2*w*(w - 1)/7
Let u = -285 + 288. Factor -99*j**3 + 31*j**u + 50*j**4 - 8 - 42*j**2 + 40*j + 28*j**3.
2*(j - 1)*(j + 1)*(5*j - 2)**2
Let n = 8589/8742620 - 1/7409. Let u = n - -589/1180. Factor 1/2*a**4 + 1/4*a**3 + u - 3/2*a**2 + 1/4*a.
(a - 1)**2*(a + 2)*(2*a + 1)/4
Let z be (-122)/21 - (-44 + 38). Let w(d) be the first derivative of 16 + 0*d**2 + 2/35*d**5 + 0*d + 1/14*d**4 - z*d**3. Factor w(k).
2*k**2*(k - 1)*(k + 2)/7
Determine i, given that -30 - 23/3*i - 1/3*i**2 = 0.
-18, -5
Let d(y) be the second derivative of -y**5/10 + 51*y**4/2 - 200*y**3 + 596*y**2 - 157*y - 5. Solve d(w) = 0 for w.
2, 149
Let f be ((-4311)/16765)/((0 - -2) + (-145)/70). Suppose -3*v + f*v**3 + 24/5*v**2 - 6/5*v**4 - 3/5*v**5 - 18/5 = 0. Calculate v.
-3, -1, 1, 2
Let r(b) = -56*b**3 + 14*b. Let q(y) = y**3 + 8*y**2 + y. Let j(f) = -20*q(f) - 2*r(f). Solve j(m) = 0.
-6/23, 0, 2
Let a(q) be the first derivative of q**7/1680 + q**6/90 - 3*q**5/80 - 54*q**3 + 34. Let p(i) be the third derivative of a(i). Factor p(u).
u*(u - 1)*(u + 9)/2
Suppose 3*j = -3*n + 51, -5*n - 2*j = -32 - 41. Let h(c) = c - 8. Let u be h(n). Determine p, given that -5/2 + 5/2*p + u*p**2 = 0.
-1, 1/2
Suppose 5*x + 4 = 4*g, -5*g = 2*x + 3 - 8. Let -2*u**4 - 90*u**2 + 100*u + x*u**4 + 1139*u**3 - 1115*u**3 = 0. Calculate u.
0, 2, 5
Suppose f = r - 4*r - 44, -f - r = 46. Let t = f + 42. Let q(c) = -7*c**3 - 6*c**2 - 3*c - 2. Let z(i) = i**3 + i + 1. Let g(d) = t*q(d) - 10*z(d). Factor g(m).
5*m*(m + 1)*(5*m + 1)
Let l(d) be the first derivative of -d**3 - 351*d**2 + 1416*d + 3681. Suppose l(s) = 0. Calculate s.
-236, 2
Suppose -2 = 2*t + 3*v - 21, 4*t = 4*v - 12. Let a = 547 + -547. Suppose 12*i + 3*i**2 + a*i**t + 6*i**2 - 5*i**2 = 0. Calculate i.
-3, 0
Suppose -5*b + 5*f + 20 = 0, -5*b + 4 = -3*b - 4*f. Let d be (6/(-24)*-8)/(4/b). Suppose -q**d + q**3 - q + q**3 = 0. What is q?
-1, 0, 1
Let v(b) be the third derivative of 0*b**3 + 1/120*b**6 - 1/60*b**5 + 0*b - 275*b**2 + 0 - 5/6*b**4. Suppose v(s) = 0. Calculate s.
-4, 0, 5
Let w be (3 + -4)/(147/406). Let f = w + 680/231. Factor -2/11*v - f*v**3 + 4/11*v**2 + 0.
-2*v*(v - 1)**2/11
Let r be ((830/3735)/(1/6))/((-11)/(-3) + -3). Solve -24 - 47/2*v**r + 56*v + 11/4*v**3 = 0.
6/11, 4
Factor 238 + 290*g + 118*g + 262*g + 5*g**2 + 427.
5*(g + 1)*(g + 133)
Let d(p) be the first derivative of -p**5/10 + 15*p**4/4 - 4*p**3 - 71*p**2/2 - 87*p/2 - 4368. Find x such that d(x) = 0.
-1, 3, 29
Determine p, given that -768*p**2 + 324*p + 742*p**3 - 739*p**3 + 1907*p + 793*p = 0.
0, 4, 252
Let l(m) = -m**2 + 30*m - 104. Let i be l(19). Let k be (-10)/i*-6*7/5. Solve -6/5*d**2 - 2/5*d**3 + 0 - k*d = 0 for d.
-2, -1, 0
Let x(c) be the second derivative of 16/3*c**3 + 0 - 184*c - 64*c**2 - 1/6*c**4. Let x(s) = 0. What is s?
8
Let v(o) be the first derivative of -o**6/10 - 21*o**5/10 - 18*o**4 - 80*o**3 - 192*o**2 - 27*o + 111. Let d(m) be the first derivative of v(m). Factor d(l).
-3*(l + 2)*(l + 4)**3
Let g(r) be the third derivative of r**8/1176 - r**7/105 - 11*r**6/420 + 19*r**5/210 + 19*r**4/42 + 16*r**3/21 - 414*r**2. Determine h, given that g(h) = 0.
-1, 2, 8
Let l(c) be the first derivative of 1/21*c**6 - 2/35*c**5 - 19/7*c**2 - 10/7*c + 131 - 52/21*c**3 - c**4. Factor l(z).
2*(z - 5)*(z + 1)**4/7
Let u(s) be the second derivative of 1 + 1/24*s**4 - 65/6*s**3 - 19*s + 4225/4*s**2. Let u(i) = 0. Calculate i.
65
Suppose -l + 24 = 4*j, -4*l - 3*l + 8 = -4*j. Suppose 8/11*b + 0 - 40/11*b**2 - 14/11*b**l + 46/11*b**3 = 0. What is b?
0, 2/7, 1, 2
Let s(u) be the first derivative of -u**6/3 - 8*u**5/5 + 27*u**4/2 + 108*u**3 + 216*u**2 - 117. Suppose s(p) = 0. What is p?
-4, -3, 0, 6
Factor 52*b + 4/7*b**2 + 1392/7.
4*(b + 4)*(b + 87)/7
Let b(z) be the third derivative of 0 + 19/30*z**5 + 1/21*z**7 + 0*z**3 - 176*z**2 - 3/10*z**6 + 0*z + 1/336*z**8 - 13/24*z**4. Solve b(n) = 0.
-13, 0, 1
Suppose 0 = 15*x - 21*x - 5844. Let n = x + 1022. Let -8*b + n + 1/3*b**2 = 0. Calculate b.
12
Let q(p) be the second derivative of -p**4/96 + 931*p**3/48 + 233*p**2/4 + 2*p + 3823. Factor q(g).
-(g - 932)*(g + 1)/8
Factor 122/3*i - 2/15*i**2 + 0.
-2*i*(i - 305)/15
Let h(y) be the first derivative of 11*y**5/135 + 5*y**4/36 + 2*y**3/27 - 38*y**2 - 143. Let r(x) be the second derivative of h(x). Solve r(z) = 0.
-1/2, -2/11
Let f(g) be the third derivative of g**6/1200 + 61*g**5/600 + 119*g**4/240 + 59*g**3/60 - 25*g**2 + 15. Factor f(a).
(a + 1)**2*(a + 59)/10
Let r(f) be the second derivative of f**4/3 - 4412*f**3/3 + 2433218*f**2 - 2*f - 641. Factor r(k).
4*(k - 1103)**2
Let c(z) be the first derivative of z**6/30 + 33*z**5/20 + 21*z**4/4 + 31*z**3/6 + 174*z + 196. Let g(x) be the first derivative of c(x). Factor g(l).
l*(l + 1)**2*(l + 31)
Let a(c) = -709*c + 8515. Let k be a(12). Suppose 0 = -6*w + 3*w + 9. Factor -42*r**3 + 5*r + 37*r**w - 12 + k + 5*r**2.
-5*(r - 1)**2*(r + 1)
Suppose 3*u = 5*v + 34, -6181 = -5*u - v - 6171. Find s, given that 1/2*s**4 + 1/2*s**2 + 3/2*s**u - 3/2*s - 1 = 0.
-2, -1, 1
Suppose 3773*y + 4*y**4 + 2643*y + 1428*y**2 - 4104*y + 144*y**3 = 0. Calculate y.
-17, -2, 0
Let -9/2*b**3 - 6*b**2 + 0 + 0*b + 3/2*b**4 = 0. What is b?
-1, 0, 4
Let t = 2482 - 10013/4. Let m = t + 533/20. Factor -42/5*y**3 + 18/5*y**4 - m*y - 3/5*y**5 + 6/5 + 48/5*y**2.
-3*(y - 2)*(y - 1)**4/5
Suppose -3*z - 2*t + 9 + 19 = 0, 0 = -4*t + 32. Let r(s) be the second derivative of 45/2*s**2 - 25/12*s**z + 23*s - 5/2*s**3 - 1/4*s**5 + 0. Factor r(i).
-5*(i - 1)*(i + 3)**2
Let q(l) be the third derivative of l**10/756000 + l**9/37800 + l**8/14400 - 7*l**5/5 - 77*l**2. Let y(s) be the third derivative of q(s). Factor y(g).
g**2*(g + 1)*(g + 7)/5
Let s be 364/1760 + 52/(-286). Let h(m) be the second derivative of 1/120*m**6 + 0 - s*m**5 + 0*m**2 + 1/48*m**4 + 0*m**3 + 3*m. What is f in h(f) = 0?
0, 1
Let h(y) be the first derivative of -124 + 0*y + 0*y**3 - 1/4*y**4 + 0*y**2. Determine j so that h(j) = 0.
0
Suppose -339*s - 6 = -342*s. Let -5776 - 304*y - 316*y**2 + 155*y**2 + 157*y**s = 0. What is y?
-38
Let v(w) be the second derivative of 0*w**3 - 18 - 7/110*w**5 + 2*w + 0*w**2 - 7/165*w**6 - 1/33*w**4 - 2/231*w**7. Find y, given that v(y) = 0.
-2, -1, -1/2, 0
Let o be 660/(-21)*1536/(-16896). Suppose 18/7*i**2 - 2/7*i**3 + o*i + 0 = 0. Calculate i.
-1, 0, 10
Factor 12*u**4 - 27*u**4 - 3*u**5 + 9370*u**2 - 2280*u**3 + 11616 + 106*u**4 + 950*u**2 + 59*u**4 - 18480*u.
-3*(u - 22)**2*(u - 2)**3
Factor -1/5*g**2 - 14/5 + 3*g.
-(g - 14)*(g - 1)/5
Let h(s) be the third derivative of s**8/672 + 83*s**7/420 + 81*s**6/80 + 241*s**5/120 + 5*s**4/3 + 2*s**2 + s + 1815. Factor h(f).
f*(f + 1)**3*(f + 80)/2
Factor 94*q**4 - 90*q**4 + 5*q**5 - 3*q**5 + 6*q**3 - 14*q**3 + 2*q**5.
4*q**3*(q - 1)*(q + 2)
Let d(v) be the second derivative of -v**5/70 + 10*v**4/21 + 23*v**3/21 - 6*v**2 + 2189*v. Factor d(o).
-2*(o - 21)*(o - 1)*(o + 2)/7
Let x(s) be the first derivative of -2*s**3 + 63*s**2/2 + 108*s + 1011. Determine y, given that x(y) = 0.
-3/2, 12
Suppose -5*a - 17 = -3*r - 3, -4*r + 4*a + 24 = 0. Factor 7 - r*s**2 + 2*s + 591*s**3 + 6 - 589*s**3 - 1.
2*(s - 3)*(s - 2)*(s + 1)
Let v(u) be the third derivative of -u**7/126 + 199*u**6/180 - 7837*u**5/180 - 430*u**4/9 + 800*u**3/3 + 2583*u**2. Find s such that v(s) = 0.
-1, 3/5, 40
Determine v so that -13/2*v**2 - 9/4*v**3 + 13*v - 1/4*v**5 + 2*v**4 - 6 = 0.
-2, 1, 2, 6
Let a(s) = -s**2 - 14*s - 47. Let f be (((-1190)/15)/(-17))/(2/(-3)). Let b be a(f). Factor -6/11*u + 2/11*u**b + 6/11*u**3 - 2/11.
2*(u - 1)*(u + 1)*(3*u + 1)/11
Let a(s) = 10*s - 247. Let n be a(-31). Let x = n - -559. Find l such that 16/5 + 4/5*l**x + 4*l = 0.
-4, -1
Let d be 9/6 - (-12)/24. Suppose -25*b**d 