en that 2*n**2 - 20 + n**w + l*n**2 + 20*n - 8*n**2 = 0.
2
Let k(o) be the first derivative of -o**5/510 + 5*o**4/34 - 75*o**3/17 - o**2 - 13*o + 32. Let m(g) be the second derivative of k(g). Factor m(s).
-2*(s - 15)**2/17
Let r(j) be the third derivative of -j**8/2520 - j**7/175 + j**6/225 + 2*j**5/25 + 4161*j**2. Determine k so that r(k) = 0.
-9, -2, 0, 2
Let g(x) be the third derivative of -x**7/70 - x**6/10 + 27*x**5/20 + 81*x**4/4 + 108*x**3 + 5*x**2 - 407. Factor g(w).
-3*(w - 6)*(w + 3)**2*(w + 4)
Let i(u) be the second derivative of 36*u**4 - 228*u**3 + 1083*u**2/2 - 4*u - 271. Solve i(c) = 0.
19/12
Factor 0 + 972/5*t + 231/5*t**3 + 192*t**2 - 3/5*t**4.
-3*t*(t - 81)*(t + 2)**2/5
Let y be ((-1422)/2212)/((-3)/7). Factor y*i**4 - 39/2*i + 3/2*i**3 - 21/2*i**2 - 9.
3*(i - 3)*(i + 1)**2*(i + 2)/2
Let r be 24/(-3) - (1351/(-168) - 0). Let a(c) be the third derivative of -5/12*c**4 - r*c**6 + 0*c - 4*c**2 - 1/4*c**5 + 0 + 0*c**3. What is q in a(q) = 0?
-2, -1, 0
Let z(m) be the third derivative of -2*m**7/175 - 31*m**6/150 - 7*m**5/15 + 11*m**4/30 + 12*m**3/5 - 2088*m**2. Let z(i) = 0. Calculate i.
-9, -1, 2/3
Let f(m) be the first derivative of 4*m**3/9 + 490*m**2/3 + 976*m/3 + 1013. Find o, given that f(o) = 0.
-244, -1
Let h(s) be the third derivative of -s**7/1260 - s**6/40 - s**5/3 + 89*s**4/24 - 73*s**2. Let c(i) be the second derivative of h(i). Factor c(n).
-2*(n + 4)*(n + 5)
Let m(h) be the first derivative of -1/108*h**4 - 1/540*h**5 + 10*h**2 - 1/54*h**3 + 0*h + 16. Let c(b) be the second derivative of m(b). Factor c(j).
-(j + 1)**2/9
Factor 96*w**3 + 95*w**3 - 205*w**3 - 8*w**4 - 3*w**2 - 12*w**2 + 9*w**4.
w**2*(w - 15)*(w + 1)
Let q be (-2)/((-4)/(-18)) - 15810/(-1054). Let x(g) be the second derivative of -2*g - 5/9*g**4 + 4/15*g**5 + 0*g**2 + 4/9*g**3 + 0 - 2/45*g**q. Factor x(s).
-4*s*(s - 2)*(s - 1)**2/3
Let p be (120/(-8))/((-3)/17). Suppose -4*q = q - p. Factor q*d**4 - 7*d**3 - 3*d**3 - 22*d**4.
-5*d**3*(d + 2)
Let j = 1992 - 334655/168. Let d(k) be the second derivative of 22*k + 2/3*k**3 + j*k**7 - 7/120*k**6 - 1/2*k**2 + 19/80*k**5 - 25/48*k**4 + 0. Factor d(y).
(y - 2)**2*(y - 1)**3/4
Factor 200/3 + 113/3*i**3 + 511/3*i**2 + 190*i + 1/3*i**5 - 9*i**4.
(i - 20)*(i - 10)*(i + 1)**3/3
Suppose -66*t = -65*t - 128. Suppose 12*j - 76*j + t = 0. Solve 1/11*g**j + 9/11 + 6/11*g = 0 for g.
-3
Solve -28/9*q**2 + 34/3*q**3 + 2/9*q**5 - 160/9*q + 0 - 28/9*q**4 = 0.
-1, 0, 2, 5, 8
Let u(r) be the first derivative of -r**7/7980 - r**6/855 - r**5/228 - r**4/114 - 6*r**3 - 171. Let m(s) be the third derivative of u(s). Solve m(g) = 0 for g.
-2, -1
Let c(b) be the second derivative of -52*b - 1/30*b**6 - 2 + 9/4*b**4 + 29/6*b**3 + 7/20*b**5 + 5*b**2. Factor c(j).
-(j - 10)*(j + 1)**3
Let c(o) be the first derivative of -60*o - 5*o**3 + 6 + 5/4*o**4 - 40*o**2. Factor c(h).
5*(h - 6)*(h + 1)*(h + 2)
Let s(m) = m - 1. Let y(c) = -c**2 - 2*c - 14. Let t(r) = -5*s(r) - y(r). Let v be t(0). Suppose 5*u**2 + 20*u + v - 9 + 5 = 0. What is u?
-3, -1
Let b be (-5 - (6 - 18)) + -5. Factor -62*o**3 - 178865*o**b + 2*o**5 + 9*o**4 + 178937*o**2 - 21*o**4.
2*o**2*(o - 9)*(o - 1)*(o + 4)
Let i(t) be the second derivative of -t**4/36 + 25*t**3/18 - 4*t**2 + 31*t - 99. Let i(q) = 0. Calculate q.
1, 24
Suppose 0*w - 5*y = 2*w - 96, 0 = 5*w + 3*y - 202. Suppose -5*p + w = 3. Suppose 13*m + m**2 - 3*m - p*m = 0. Calculate m.
-3, 0
Let a(j) be the third derivative of 0 + 10*j**2 + 2*j + 1/114*j**5 + 0*j**3 - 1/228*j**4. Factor a(q).
2*q*(5*q - 1)/19
Let m(g) be the second derivative of -3*g + 1/48*g**4 - 1/6*g**3 + 10 + 1/2*g**2. Factor m(n).
(n - 2)**2/4
Let y(j) be the second derivative of -j**6/135 + 39*j**5/10 - 460*j**4/9 + 5488*j**3/27 + 2*j + 1136. Factor y(n).
-2*n*(n - 343)*(n - 4)**2/9
Factor -27/7*o**4 - 3/7*o**2 + 18/7*o**3 + 0 + 0*o.
-3*o**2*(3*o - 1)**2/7
Let a = 10557 + -10555. Let b(r) be the second derivative of -1/60*r**4 + 17*r - 2/5*r**a + 0 + 1/6*r**3. Solve b(u) = 0 for u.
1, 4
Let r(g) = -3*g + 14. Let f be r(-11). Factor -4*y**2 + 137*y**3 - f*y**3 - 44*y**3 - 47*y**3.
-y**2*(y + 4)
Let q = 91 + -15. Suppose 64*h**2 - 45 - 55*h**2 + q*h - 261*h - 164*h**2 - 15*h**3 = 0. Calculate h.
-9, -1, -1/3
Let q be -3 - (3 - (9 - -1)) - -3. Let y be 56/(-8)*(-5)/q. Solve 67*k**5 - 15*k**4 + 8*k**5 + 2*k**2 - 48*k**3 - 9*k**2 - y*k**2 = 0 for k.
-2/5, 0, 1
Factor -2/7*p**4 - 144/7*p + 0 - 4/7*p**3 + 78/7*p**2.
-2*p*(p - 3)**2*(p + 8)/7
Let x(d) be the third derivative of -d**5/70 + 17*d**4/7 - 195*d**3/7 - 3*d**2 + 118. Determine v so that x(v) = 0.
3, 65
Suppose -36*k - 4 - 104 = 0. Let o be ((-90)/21)/k + 0/(-9). Factor o*j - 2/7*j**2 - 12/7.
-2*(j - 3)*(j - 2)/7
Let f be (-4)/8*-2 - (0/(-15) - 2). Let x(r) be the second derivative of 0*r**2 + 0 - 1/48*r**4 - 5*r - 1/3*r**f. Factor x(i).
-i*(i + 8)/4
Suppose -26*z + 28*z = 2*k + 10, 6*z - 42 = 0. Factor -252/5*v + 15*v**3 - 216/5 + 6*v**k.
3*(v - 2)*(5*v + 6)**2/5
Let w be -36 - -23 - 96/(-16)*3. Factor -k**4 - 3/2*k - 1/3 - 7/3*k**3 - 8/3*k**2 - 1/6*k**w.
-(k + 1)**4*(k + 2)/6
Suppose 3*a - 45 = 4*y - 75, 4*a + 33 = 3*y. Let r(f) be the first derivative of 0*f + 9 + 27/8*f**4 - 3/4*f**2 + f**6 - 33/10*f**5 - 1/2*f**y. Factor r(s).
3*s*(s - 1)**3*(4*s + 1)/2
Let l(v) be the first derivative of 4*v**5 - 3115*v**4/4 + 40295*v**3 + 16380*v**2 - 91260*v - 161. Solve l(w) = 0.
-1, 3/4, 78
Let n be (-4)/(-3) + (-359)/(28720/96). Factor -2/3*b**2 + 16/15*b - 8/15 + n*b**3.
2*(b - 2)**2*(b - 1)/15
Suppose 0 = -83*x + 67*x + 9 + 71. Let m(f) be the third derivative of 0*f**4 + 0 + 0*f**3 + 0*f + 10*f**2 + 1/160*f**x. Factor m(s).
3*s**2/8
Suppose -5*p - 3 = 3*s, -77*p + 74*p + 3 = 3*s. Suppose -c = 4*t - 8*t - 12, s*c = -2*t - 6. Factor -1/7*x**2 - 3/7*x + c.
-x*(x + 3)/7
Let 0 - 2/15*f**3 - 64/3*f**2 + 322/15*f = 0. Calculate f.
-161, 0, 1
Let w be (-72)/63 - (8288/9065)/(4/(-10)). Find d such that 20/7*d**3 - 8*d**2 + 4*d + w = 0.
-1/5, 1, 2
Determine x, given that 222*x**4 + 24*x**3 - 218*x**4 - 96*x**2 + 159*x - 36 - 55*x = 0.
-9, 1
Let u(j) be the second derivative of -j**7/39 - 9*j**6/65 + 6*j**5/65 + 16*j**4/39 - 8603*j. Let u(k) = 0. Calculate k.
-4, -1, 0, 8/7
Let m(t) be the first derivative of -21*t**4/4 + 6*t**3 + 27*t**2/2 - 24*t + 1154. Factor m(a).
-3*(a - 1)**2*(7*a + 8)
Let w(v) = -3*v**2 + v + 3. Let n(z) = 5*z**2 - 953*z + 113285. Let t(x) = n(x) + w(x). Factor t(j).
2*(j - 238)**2
Let b(l) be the second derivative of l**5/4 - 10*l**4/3 - 15*l**3/2 + 180*l**2 + 4033*l. Find i, given that b(i) = 0.
-3, 3, 8
Let y(d) = -6*d**3 - 26 - 5*d**4 + 28 + 5*d**2 + 22*d**3 - 18*d. Let q(i) = -21*i**4 + 63*i**3 + 21*i**2 - 72*i + 9. Let f(m) = 2*q(m) - 9*y(m). Factor f(c).
3*c*(c - 6)*(c - 1)*(c + 1)
Let l(h) be the second derivative of h**3/2 + 29*h**2/2 - 24*h. Let g be l(-9). Factor -3*y - 8 + 3*y**3 - 6*y**2 - g + 16.
3*(y - 2)*(y - 1)*(y + 1)
Let j(m) be the first derivative of 4*m**3/3 - 4*m**2 - 1440*m - 2431. Factor j(i).
4*(i - 20)*(i + 18)
Let f(l) be the second derivative of -l**4/66 + 1076*l**3/33 - 289444*l**2/11 + 5*l + 98. Find u, given that f(u) = 0.
538
Let j(m) be the third derivative of -m**5/60 - 5*m**4/8 - 23*m**3/6 + 3*m**2 - 11*m. Let a be j(-13). Solve 5/3*b**4 + 0*b**2 + 0*b + 0 - 2/3*b**a = 0 for b.
0, 2/5
Let i be (-1230)/(-351) + (59 - 10941/189). Factor -2/13*d**3 + 0 - 58/13*d**2 + i*d.
-2*d*(d - 1)*(d + 30)/13
Let y(f) be the second derivative of -119*f**4/2 + 13*f**3/3 + 2*f**2 + 139*f - 6. Factor y(l).
-2*(17*l + 1)*(21*l - 2)
Factor 3176/7*j**3 - 264*j**4 + 128/7*j + 192*j**2 + 242/7*j**5 + 0.
2*j*(j - 4)**2*(11*j + 2)**2/7
Let s(t) = -t**2 - 349*t + 35859. Let a be s(83). Let 1/4*p**5 + 0*p**4 - 1/2*p**2 + 3/4*p - p**a + 1/2 = 0. Calculate p.
-1, 1, 2
Let s = 34 - 168/5. Let q = 44/57 - -464/285. Factor -s*d**2 - q - 14/5*d.
-2*(d + 1)*(d + 6)/5
Factor 232/5*b - 2/5*b**2 - 6728/5.
-2*(b - 58)**2/5
Let o be -1*(6/(-21)*(-5880)/(-1260))/(8/18). Factor 64*s + 2/3*s**o - 184/3 - 18*s**2.
2*(s - 23)*(s - 2)**2/3
Let w(p) = -6*p**2 - 27*p. Let l be 94/(-10) + 6/15. Let s(z) = 3*z**2 + 11*z + 13*z + 15*z + 16*z - 42*z. Let y(t) = l*s(t) - 4*w(t). Factor y(u).
-3*u*(u + 3)
Let x(u) be the first derivative of -u**6/60 - 3*u**5/40 + 3*u**4/8 - 5*u**3/12 + 68*u -