ne x, given that o(x) = 0.
-2, 0, 11
Let q(o) be the third derivative of 49/24*o**4 + 1/120*o**6 - 97*o**2 + 0*o**3 + 7/30*o**5 + 0*o - 1. Let q(s) = 0. Calculate s.
-7, 0
Let l(d) be the first derivative of 169*d**6/1620 + 13*d**5/45 + d**4/3 + 55*d**3/3 + 2*d - 22. Let z(r) be the third derivative of l(r). Factor z(j).
2*(13*j + 6)**2/9
Suppose -22*g**2 + 2/9*g**3 - 184/9*g + 62/9*g**4 + 2/3*g**5 - 40/9 = 0. What is g?
-10, -1, -1/3, 2
Let f(v) = -48*v**3 - v + 1. Let q(u) = 478*u**3 + 102*u**2 + 838*u - 938. Let i(k) = -20*f(k) - 2*q(k). Determine p so that i(p) = 0.
-8, 1, 58
Let r(l) = -l**2 - 18*l - 19. Let n be r(-17). Let d be n/(-3)*16/(192/12). Factor d + 2/3*x**3 + 2*x**2 + 2*x.
2*(x + 1)**3/3
Let r be ((8 - 4 - 5) + (-6 - -7))/(-1). Let 0*y**4 + 0*y**2 - 2/5*y**3 + 1/5*y**5 + 1/5*y + r = 0. Calculate y.
-1, 0, 1
Let i(z) = 45*z - 1926. Let q(s) = -4*s + 175. Let x(r) = -5*i(r) - 54*q(r). Let g be x(20). Factor 4/5*f**4 + 0*f - 6/5*f**5 + g + 0*f**2 + 2/5*f**3.
-2*f**3*(f - 1)*(3*f + 1)/5
Let z(m) be the third derivative of 0*m + 118*m**2 + 4/75*m**5 + 6/5*m**3 - 37/30*m**4 + 0. Find d such that z(d) = 0.
1/4, 9
Let a(m) be the third derivative of m**5/30 - 2773*m**4/6 + 7689529*m**3/3 + 7856*m**2. Factor a(x).
2*(x - 2773)**2
Let l(r) be the third derivative of r**6/30 - 13*r**5/120 - 5*r**4/8 - 3*r**3/4 - 138*r**2. What is x in l(x) = 0?
-1, -3/8, 3
Let w be ((-1)/(-2))/((-15)/(-60)) + 29. Factor -7*m**5 - 72*m**3 + w*m**4 - m - 92*m**4 + 46*m**2 + 63*m**4 + 38*m**4 - 6.
-(m - 3)*(m - 1)**3*(7*m + 2)
Let c(m) = 9*m**2 - 315*m + 8112. Let r(l) = -11*l**2 + 316*l - 8112. Let d(w) = -4*c(w) - 3*r(w). Find s such that d(s) = 0.
52
Let c(v) be the third derivative of v**3 + 123/160*v**6 + 31/24*v**5 - 49/24*v**4 + 0*v + 27/280*v**7 - 1 - 62*v**2. What is p in c(p) = 0?
-3, -2, 2/9
Let w(h) = -2*h**2 + 15*h - 9. Let g(l) = -10*l**2 + 74*l - 48. Suppose 42 + 42 = 3*q. Let c(i) = q*w(i) - 6*g(i). Factor c(o).
4*(o - 3)**2
Let n = -101883/44 - -25512/11. Find o, given that 13/4*o + 7/4*o**3 + n*o**2 + 1/4*o**4 + 1 = 0.
-4, -1
Let f(x) be the third derivative of -x**5/120 + 865*x**4/24 - 748225*x**3/12 - 29*x**2 + 64. Factor f(l).
-(l - 865)**2/2
Let a(t) be the second derivative of -t - 24 + 6*t**2 + 1/4*t**4 - 5/2*t**3. Suppose a(w) = 0. Calculate w.
1, 4
Let a(z) = 16*z**2 - 31*z - 2. Let f be a(2). Factor 2162*j + f*j**3 + j**3 - 434*j - 14863 + 1039 - 72*j**2.
(j - 24)**3
Let s(m) be the first derivative of m**7/105 - m**6/15 + m**5/5 - m**4/3 + m**3/3 - m**2 - 36*m + 38. Let f(d) be the second derivative of s(d). Factor f(v).
2*(v - 1)**4
Let p(l) be the third derivative of -l**8/84 - 92*l**7/105 - 267*l**6/10 - 2124*l**5/5 - 3528*l**4 - 10368*l**3 - 1496*l**2. Factor p(w).
-4*(w + 1)*(w + 9)*(w + 12)**3
Let n(d) be the second derivative of -d**6/120 - 103*d**5/20 - 9453*d**4/8 - 656915*d**3/6 - 2571353*d**2/8 + 129*d + 4. Factor n(c).
-(c + 1)*(c + 137)**3/4
Let u be 79/(-4 + 14/4). Let x be 23/138 + u/120*-2. Determine f, given that -x*f**4 + 36/5*f**3 + 0 - 8*f**2 + 16/5*f + 2/5*f**5 = 0.
0, 1, 2
Suppose -101*m = -614*m. Let u(j) be the third derivative of 31*j**2 + 0*j + 7/4*j**4 + 3/4*j**5 + 3/2*j**3 + m. Factor u(g).
3*(3*g + 1)*(5*g + 3)
Let -105015*w**5 + 152*w + 52504*w**5 + 52501*w**5 + 132*w**2 - 36*w**4 + 2*w**3 + 48 = 0. Calculate w.
-2, -1, -3/5, 2
Let s(z) = -67*z**2 + 835*z + 57132. Let d(r) = 57*r**2 - 834*r - 57132. Let j(k) = 7*d(k) + 6*s(k). Factor j(u).
-3*(u + 138)**2
Determine k so that 3098*k**3 - 1911*k**3 - 2103750*k**2 + 182123773 + 4433*k**3 + 261562500*k - 75*k**4 + 70*k**4 + 81548102 = 0.
-1, 375
Let d(o) = 9*o**2 + 8*o - 70. Suppose 3*u - 5*i = 0, 3*i + 30 = -3*u - 2*i. Let t(b) = -8*b**2 - 8*b + 68. Let k(m) = u*t(m) - 4*d(m). Solve k(n) = 0.
-5, 3
Let x be (-6)/(-12)*(2 + -4) - -4. Determine i, given that 16*i**5 + 36*i**4 + 728*i - 7*i**x - 36*i**2 - 736*i - i**3 = 0.
-2, -1, -1/4, 0, 1
Let b = -346678 + 1386713/4. Factor 3/2*v + 0 + b*v**2.
v*(v + 6)/4
Let g(l) = l**3 + 17*l**2 + 7. Let h be g(-17). Suppose -12 = -a - h. Factor 32*m**5 + 0*m**4 - m**4 - 33*m**a.
-m**4*(m + 1)
Factor 236*q + 2*q**2 - 14*q**2 + 1281*q + 14*q**2 - 167*q.
2*q*(q + 675)
Let n(j) = -64*j + 834. Let k be n(13). Suppose 0 = -k*v - 84*v + 344. Find w such that -2/7*w**3 + 2/7*w**v + 0 + 0*w**2 + 0*w = 0.
0, 1
Let s(a) = 3*a**2 - 5*a - 9. Let t be s(5). Factor -16*u - 66*u - t*u - 3*u**2 - 120.
-3*(u + 1)*(u + 40)
Let z be ((-3)/((-30)/50))/(10/18). Suppose z*l = -3*l + 4*l. Solve -1/5*p + l - 1/5*p**2 = 0 for p.
-1, 0
Determine i, given that 256*i - 17*i + 125*i - 122*i**2 - 139*i**2 - i**4 + 2028 - 1309*i**3 + 1339*i**3 = 0.
-2, 6, 13
Let c(l) be the second derivative of -5*l**7/42 + 17*l**6/6 + 11*l**5/4 - 845*l**4/12 - 745*l**3/3 - 340*l**2 - 292*l - 5. Suppose c(d) = 0. What is d?
-2, -1, 4, 17
Let k(b) be the second derivative of b**7/420 - b**6/90 + b**3/6 - 33*b**2/2 - 42*b. Let u(m) be the second derivative of k(m). Suppose u(f) = 0. What is f?
0, 2
Let g(t) = t**2 + 7*t - 82. Let b be g(7). Let p be (b/14)/(-4) + (-690)/(-210). Let 0*y**2 - 3/7 + 51/7*y**4 - 18/7*y**5 - 6*y**p + 12/7*y = 0. What is y?
-1/2, 1/3, 1
What is j in -25*j**5 - 176 - 460*j**2 + 330*j**3 + 5*j**4 - 565 + 1221 - 280*j = 0?
-4, -1, 6/5, 2
Let a(b) be the third derivative of 1/60*b**6 + 15*b**2 - 1/12*b**4 - 2*b + 1/30*b**5 + 0 - 2/5*b**3 + 1/525*b**7. Find p, given that a(p) = 0.
-3, -2, -1, 1
Let a = -454 - 157. Let y be (-8 - a/78) + 14/48. Let 1/2*u + y*u**2 - 1/2 - 1/8*u**3 = 0. Calculate u.
-2, 1, 2
Let i(u) be the second derivative of 0 - 57*u + 15/8*u**2 + 11/8*u**3 + 3/80*u**5 + 7/16*u**4. Factor i(n).
3*(n + 1)**2*(n + 5)/4
Let d be (-121)/(-20) - 41/820. Let s(i) be the first derivative of -2/5*i**5 + 4/9*i**d + 0*i - 5/6*i**4 + 2/3*i**3 + 33 + 1/3*i**2. Solve s(q) = 0 for q.
-1, -1/4, 0, 1
Let g(w) = -2*w**3 - 11*w**2 + 14*w + 52. Let h be g(-6). Let m(o) be the first derivative of 36 - 16/7*o**2 - 10/21*o**3 + 3/14*o**h + 24/7*o. Factor m(d).
2*(d - 3)*(d + 2)*(3*d - 2)/7
Let a(v) be the first derivative of v**6/2160 + v**5/45 - v**3/3 + 11*v - 106. Let c(g) be the third derivative of a(g). Solve c(s) = 0.
-16, 0
Suppose -45*g = -50*g - 9380. Let z = 7585/4 + g. Factor -27*q**2 + 81/2*q - 3/4*q**4 - z + 15/2*q**3.
-3*(q - 3)**3*(q - 1)/4
Let f = 996 - 996. Let n(r) be the third derivative of 0*r - 13*r**2 + 1/36*r**4 + 1/90*r**5 + f - 2/3*r**3. Find a such that n(a) = 0.
-3, 2
Let n = 1151 - 1147. Let c(p) be the second derivative of 5/12*p**3 + 17*p - 5/48*p**n + 0*p**2 + 0. Factor c(d).
-5*d*(d - 2)/4
Let z be (29 + -31)*12/(-16). Let b(w) be the second derivative of 0 - 1/12*w**4 - 1/20*w**5 + 5/6*w**3 + 6*w - z*w**2. Factor b(g).
-(g - 1)**2*(g + 3)
Let m(k) be the second derivative of -k**4/10 + 109*k**3/5 - 642*k**2/5 - 1410*k. Solve m(d) = 0 for d.
2, 107
Let w = -486746 - -486748. Let -19/3*c**w + 2/3*c**3 + 19/3*c**4 + 0 - 2/3*c = 0. Calculate c.
-1, -2/19, 0, 1
Let h be (-1488)/8064 - (42/16 - 3). Let n(g) be the first derivative of 12/7*g - h*g**3 + 2 - 4/7*g**2. Find c such that n(c) = 0.
-3, 1
Factor 183 + 265 + 31*s**2 - 200*s - s**3 - 80.
-(s - 23)*(s - 4)**2
Let z(c) be the first derivative of -192 + 215*c**2 - 9245*c - 5/3*c**3. Factor z(a).
-5*(a - 43)**2
Let r(p) = 95*p - 1132. Let u be r(12). Let g(n) be the second derivative of u*n + 0 - 5/12*n**4 - 10*n**3 - 90*n**2. Factor g(y).
-5*(y + 6)**2
Suppose 1/7*f**2 + 2763/7 + 2764/7*f = 0. What is f?
-2763, -1
Suppose 597*k - 837*k + 480 = 0. Let b(w) be the first derivative of w**4 + 43 - 4*w + 4/5*w**5 + 7*w**k - 16/3*w**3 - 1/3*w**6. Factor b(h).
-2*(h - 1)**4*(h + 2)
Let w(b) be the second derivative of 9*b**5/70 + 97*b**4/42 - 22*b**3/21 - 10996*b. Suppose w(h) = 0. Calculate h.
-11, 0, 2/9
Let m(z) be the second derivative of -7*z**5/30 + 23*z**4/12 - 2*z**3 - 11*z**2/2 - 33*z. Let q(w) be the first derivative of m(w). Let q(p) = 0. What is p?
2/7, 3
Let o = 3963/39830 + 2/3983. Let k(q) be the second derivative of -o*q**5 + 2/15*q**6 + 1/7*q**7 + 0*q**2 + 11*q + 0*q**3 + 0 + 0*q**4. Solve k(x) = 0 for x.
-1, 0, 1/3
Let v be (119/(-34))/((-7)/4). Factor 1141 - 1157 + 2*z**v + 2*z**2 + 8*z - 2*z**3.
-2*(z - 2)**2*(z + 2)
Find z such that -5/2*z**5 - 35/2*