) = 0 for o.
3/7, 6
Let j(n) be the third derivative of n**10/15120 - n**9/3780 + n**8/3360 - 5*n**4/6 + n**3/2 - 45*n**2. Let p(l) be the second derivative of j(l). Factor p(o).
2*o**3*(o - 1)**2
Let k(n) = 13*n**2 - 24*n + 100. Let l(h) = -h**2 + 26*h - 116. Let z be l(20). Let p(c) = 3*c**2 - c. Let x(a) = z*p(a) - k(a). Determine s so that x(s) = 0.
10
Let i(k) be the third derivative of -k**7/1260 + k**6/270 - k**5/180 - k**3/6 + 3*k**2 - 13. Let n(v) be the first derivative of i(v). Factor n(d).
-2*d*(d - 1)**2/3
Let y(o) be the third derivative of o**5/360 + o**4/36 + 5946*o**2. Factor y(v).
v*(v + 4)/6
Let d be ((-80)/15)/((35/15)/(-7)). Factor 1306*p**2 - d*p - 28 - 4 - 1308*p**2.
-2*(p + 4)**2
Let g(m) be the second derivative of m**5/40 + m**4/12 - 10*m**3/3 + 16*m**2 + 7*m - 14. Factor g(a).
(a - 4)*(a - 2)*(a + 8)/2
Suppose -74*w - 13586 = -266. Let n be (-24)/78 - w/78. Factor -4/7*q**4 - 16/7 - 16/7*q + 12/7*q**n + 8/7*q**3.
-4*(q - 2)**2*(q + 1)**2/7
Let z = 1004051 - 1004051. Find d, given that z - 1/10*d**3 - 1/5*d - 3/10*d**2 = 0.
-2, -1, 0
Let w(k) = -68*k**3 + 5907*k**2 + 17677*k + 11754. Let c(g) = -31*g**3 + 2954*g**2 + 8839*g + 5878. Let x(t) = -13*c(t) + 6*w(t). Let x(b) = 0. Calculate b.
-589, -2, -1
Let g be (-7)/(-2)*(-180)/105. Let j be (8/72)/((-3)/g). Factor 0 + 0*w**3 + 2/9*w**5 - j*w - 4/9*w**2 + 4/9*w**4.
2*w*(w - 1)*(w + 1)**3/9
Let i(h) be the first derivative of -h**4 - 836*h**3 - 262086*h**2 - 36517316*h - 644. Solve i(m) = 0 for m.
-209
Suppose -30*g + 30 = -30. Let v(c) be the third derivative of 1/3*c**4 + 0 + 1/30*c**5 + 0*c**3 + 0*c + 18*c**g. Let v(s) = 0. Calculate s.
-4, 0
Let k(q) = 4230*q**3 - 8360*q**2 - 1100*q. Let b(s) = -385*s**3 + 760*s**2 + 100*s. Let f(t) = -45*b(t) - 4*k(t). Factor f(v).
5*v*(v - 2)*(81*v + 10)
Let a(z) be the second derivative of z**6/780 - 2*z**5/65 + 7*z**4/52 + 98*z**3/39 + 57*z**2/2 + 32*z. Let p(c) be the first derivative of a(c). Factor p(h).
2*(h - 7)**2*(h + 2)/13
Let l be (-70)/140 - 3/(-6). Let q(w) be the third derivative of -1/36*w**5 - 7*w**2 + 1/90*w**6 + l + 0*w + 0*w**3 + 1/36*w**4 - 1/630*w**7. Factor q(p).
-p*(p - 2)*(p - 1)**2/3
Find l, given that -312722*l**5 - 219*l**4 + l + 312747*l**5 - l + 1815*l**3 - 630*l**2 - 391*l**4 = 0.
0, 2/5, 3, 21
Let x(s) = -3*s**4 + 23*s**3 - s**2 - 23*s + 32. Let i(g) = 2*g**4 - 24*g**3 + g**2 + 24*g - 24. Let c(d) = 4*i(d) + 3*x(d). Factor c(f).
-f*(f - 1)*(f + 1)*(f + 27)
Let c be 9 + (-7 - 84/(-189)*18). Factor 8*s**2 - c*s**3 - 128/5 + 32*s - 2/5*s**5 - 4*s**4.
-2*(s - 1)**2*(s + 4)**3/5
Factor 85/2*d - 575/6 - 11/2*d**2 + 1/6*d**3.
(d - 23)*(d - 5)**2/6
Let k(y) be the first derivative of -y**5/10 - 399*y**4/4 - 158401*y**3/6 + 79800*y**2 - 80000*y + 4181. Factor k(a).
-(a - 1)**2*(a + 400)**2/2
Let b(v) be the third derivative of -v**6/160 + 9*v**5/20 + 165*v**4/32 - 25*v**3 + v**2 - 369*v. Factor b(m).
-3*(m - 40)*(m - 1)*(m + 5)/4
Let 5029*v**3 - 124*v**2 - 1686*v**3 + 60 - 1683*v**3 - 208*v - 1676*v**3 = 0. What is v?
-5, -3, 1/4
Let n(w) = -33*w**3 + 28*w**2 + 45*w - 129. Let f(s) = -s**4 - 87*s - 1. Let x(k) = 3*f(k) - 3*n(k). Solve x(t) = 0.
-2, 1, 2, 32
Suppose 8644482/5 + 8316/5*i + 2/5*i**2 = 0. Calculate i.
-2079
Let n = 5405 - 5401. Let k(h) be the second derivative of -121/45*h**6 - 33/5*h**5 + 0 - 35*h + n*h**3 - 37/18*h**4 - 4/3*h**2. Factor k(r).
-2*(r + 1)**2*(11*r - 2)**2/3
Let t be (-10 - 147/(-15))*714. Let p = -12128/85 - t. Solve 0 + 14/17*l - p*l**2 = 0.
0, 7
Find p, given that 640021*p**3 - 11*p + 219*p**2 + 45*p**4 - 639835*p**3 + 65*p = 0.
-2, -9/5, -1/3, 0
Suppose -2*j - 20 = 3*k, -10 = -252*k + 254*k + j. Determine u so that -2/5*u**2 - 1/5*u**3 + k + 3/5*u = 0.
-3, 0, 1
Factor 3/4 + 1602*k + 855468*k**2.
3*(1068*k + 1)**2/4
What is n in 725/4 + 5/4*n**3 - 1445/4*n + 715/4*n**2 = 0?
-145, 1
Let s(y) be the first derivative of 21/4*y**2 + 25 + 18*y + 1/2*y**3. What is a in s(a) = 0?
-4, -3
Let 4386150/7 - 1451790/7*b - 3414/7*b**2 - 2/7*b**3 = 0. Calculate b.
-855, 3
Let t(o) be the second derivative of o**4/28 + 45*o**3/14 - 28*o - 14. Factor t(n).
3*n*(n + 45)/7
Let b(g) be the third derivative of -g**7/63 + 49*g**6/20 - 143*g**5/25 - 781*g**4/45 - 232*g**3/15 + 304*g**2 - 2. Suppose b(r) = 0. Calculate r.
-2/5, 2, 87
Let g be 28/14*-6*(-8)/480. Determine m, given that 0 + 0*m**4 - 2/5*m**3 + 0*m**2 + g*m**5 + 1/5*m = 0.
-1, 0, 1
Let n(i) be the second derivative of -1/24*i**4 + 18*i + 1/60*i**5 + 0 + 0*i**2 + 1/6*i**3 - 1/480*i**6. Let k(u) be the second derivative of n(u). Factor k(p).
-(p - 2)*(3*p - 2)/4
Let v(x) be the second derivative of 6/25*x**5 + 2/15*x**3 + 7/15*x**4 + 0*x**2 + 0 - 57*x. Find i such that v(i) = 0.
-1, -1/6, 0
Let y be 24 + -22 + (-1 - 58/60). Let q(k) be the second derivative of -1/20*k**5 + 0*k**2 + 0 + 1/6*k**3 + y*k**6 - 1/12*k**4 - 10*k. Factor q(d).
d*(d - 1)**2*(d + 1)
Let z be 4/(-21)*110979/(-66). Let b = -320 + z. Factor 4/7*d - 4/7*d**3 + b - 2/7*d**4 + 0*d**2.
-2*(d - 1)*(d + 1)**3/7
Let b(u) be the first derivative of -5*u**4/12 - 5*u**3/6 + 5*u**2 + 184*u + 156. Let f(l) be the first derivative of b(l). Factor f(h).
-5*(h - 1)*(h + 2)
Let j(v) be the third derivative of 0*v - 105*v**2 - 7/3*v**4 - 1/60*v**5 - 392/3*v**3 + 0. Let j(h) = 0. Calculate h.
-28
Let l(x) be the third derivative of -x**7/1260 + x**5/60 - x**4/18 - 6*x**3 + 109*x**2. Let h(k) be the first derivative of l(k). Solve h(g) = 0.
-2, 1
Factor -240*u - 12*u**3 - 800/3 - 242/3*u**2 - 2/3*u**4.
-2*(u + 4)**2*(u + 5)**2/3
Let n(m) be the first derivative of -m**5 - 20*m**4 + 85*m**3/3 + 2520. Determine a so that n(a) = 0.
-17, 0, 1
Let a(m) be the second derivative of m**7/350 + m**6/25 - 69*m**2/2 + 4*m + 2. Let i(y) be the first derivative of a(y). Factor i(c).
3*c**3*(c + 8)/5
Let z(q) be the first derivative of 5*q**6/6 + 3*q**5 - 215*q**4/4 + 155*q**3 - 135*q**2 - 455. What is d in z(d) = 0?
-9, 0, 1, 2, 3
Let u(g) = 49*g - 82. Let y be u(5). Suppose -y + 55 = -18*h. Suppose -2/3*t**3 - h*t - 8/3 - 4*t**2 = 0. What is t?
-4, -1
Let z(s) be the first derivative of 2*s**6/21 + 24*s**5/35 - 60*s**4/7 + 544*s**3/21 - 192*s**2/7 + 1810. Suppose z(t) = 0. Calculate t.
-12, 0, 2
Let q be (-4 + 7 + 297/(-90))*(-2)/9. Let j(t) be the first derivative of q*t**3 + 1/5*t + 15 - 1/5*t**2. Find z, given that j(z) = 0.
1
Factor -3/2*l**2 - 232854 + 1182*l.
-3*(l - 394)**2/2
Suppose 4*r = 2*c - 2, 103*r - 2*c = 101*r - 6. Let s(h) be the first derivative of -19 + 1/4*h**4 + 3/2*h**r + h + h**3. What is i in s(i) = 0?
-1
Let h(z) = 4 - 4*z - z**2 - 5 + z. Let b(t) be the second derivative of -t**4/6 - 2*t**3/3 - t**2 + 2*t - 158. Let j(l) = 5*b(l) - 8*h(l). Solve j(k) = 0 for k.
1
Let h(b) be the first derivative of b**6/120 + 11*b**5/10 + 121*b**4/2 + 6*b**3 - 64. Let j(c) be the third derivative of h(c). Solve j(s) = 0 for s.
-22
Let j(i) = 161*i**2 - 25*i + 3. Let m be j(2). Find k, given that 2138 - 423*k - m*k - 982 - 4*k**3 - 132*k**2 = 0.
-17, 1
Let k(i) be the second derivative of -2*i**7/21 + 8*i**6/3 + 26*i**5/5 - 36*i**4 + 42*i**3 + 1624*i. Suppose k(s) = 0. What is s?
-3, 0, 1, 21
Suppose -16*t = 391 - 423. Let s(k) be the first derivative of 0*k - 2/27*k**3 - 2/9*k**t + 18. Suppose s(c) = 0. What is c?
-2, 0
Let q = 854/491 - -29609/2455. Let -3/5*h**5 + 72/5*h - 27/5*h**4 + 108/5 - 81/5*h**3 - q*h**2 = 0. What is h?
-3, -2, 1
Let x be 1/(-15) + 4/10. Let f(j) = j**2 - 383*j + 7262. Let c be f(20). Solve 1/3 + 2/3*o - x*o**c - 2/3*o**3 = 0 for o.
-1, -1/2, 1
Let k(v) = -v**3 + 7*v**2 + 8*v + 3. Let t be k(-1). Factor -46*g**3 - t*g**4 + 46*g**3 + 10*g + g**4 - 3*g**4 + 15*g**2.
-5*g*(g - 2)*(g + 1)**2
Let h be -7*2/(-238) - 1/17. Let y(g) be the second derivative of h + 1/4*g**5 + 19*g - 1/3*g**2 - 5/6*g**3 + 1/18*g**4. Let y(d) = 0. Calculate d.
-1, -2/15, 1
Let t = 35545/2 + -17772. Let v(d) be the first derivative of 16*d + t*d**4 - 4/3*d**3 - 4*d**2 + 15. Factor v(u).
2*(u - 2)**2*(u + 2)
Let o = -428893 + 428893. Suppose 8/3 + o*h - 2/3*h**2 = 0. What is h?
-2, 2
Let f = -45/6566 - -18169/16415. Factor 0 - 9/10*t**3 - 21/10*t**2 + 1/10*t**4 - f*t.
t*(t - 11)*(t + 1)**2/10
Let t be (-872)/384*-4 + -9. Let s(z) be the first derivative of t*z**3 + 1/32*z**4 - 1/4*z + 10 - 