w) be the third derivative of 0*w**5 - 1/120*w**6 - 1/84*w**8 + 0*w + 117*w**2 - 2/105*w**7 + 0*w**3 + 0*w**4 + 0. Determine k so that p(k) = 0.
-1/2, 0
Let r = -3534 - -3534. Let q(k) be the third derivative of -11*k**2 + 0 - 1/420*k**7 - 1/60*k**5 + 0*k**4 + 1/80*k**6 + 0*k**3 + r*k. Factor q(z).
-z**2*(z - 2)*(z - 1)/2
Let i(p) be the third derivative of 0*p + 6/13*p**3 + 0 + 25/156*p**4 - 9*p**2 - 1/130*p**5. Factor i(n).
-2*(n - 9)*(3*n + 2)/13
Let m(f) be the first derivative of -7/30*f**4 + 39 - 4/5*f**2 + 88/45*f**3 + 0*f. Factor m(n).
-2*n*(n - 6)*(7*n - 2)/15
Let y be (-30)/(-4) + (-308)/88. Let n(k) be the first derivative of -4/3*k**3 + 4*k + k**y - 24 - 2*k**2. Factor n(p).
4*(p - 1)**2*(p + 1)
Let l be (((-2)/(-75))/(-2))/((-6)/18). Let i(q) be the first derivative of 2/15*q**3 + 1/20*q**4 + 0*q**2 - l*q**5 + 17 + 0*q. Let i(h) = 0. What is h?
-1, 0, 2
Let f(s) be the first derivative of 0*s**2 - 1/9*s**4 + 0*s**3 - 2/45*s**5 + 0*s + 191. Determine i so that f(i) = 0.
-2, 0
Let d(m) be the third derivative of m**5/330 - m**4/66 + m**3/33 + 942*m**2. What is c in d(c) = 0?
1
Let m(u) = -2358*u + 135. Let o be m(-7). Determine p, given that -391*p**2 + 4*p**2 - 87491 - 151030 - o*p - 3*p**3 = 0.
-43
Solve 5*d**3 - 125*d - 93*d + 218*d - 115*d**2 = 0.
0, 23
Let g = 7867 - 7864. Let v(q) be the second derivative of 1/7*q**4 + 1/70*q**5 + 0 + 4/7*q**2 + 17*q + 3/7*q**g. Let v(z) = 0. What is z?
-4, -1
Let z be (-6)/(12 + (-175)/15). Let s(b) = 12*b**2 + 215*b - 10. Let u be s(z). Factor 0*i**3 + u*i**2 - 4/3*i**4 + 4 - 32/3*i.
-4*(i - 1)**3*(i + 3)/3
Let t(q) = 10*q**3 - 10*q**2 + 6*q - 2. Suppose 19*l + 38 + 38 = 0. Let x(z) = -z**4 - 21*z**3 + 20*z**2 - 13*z + 5. Let j(s) = l*x(s) - 10*t(s). Factor j(p).
4*p*(p - 2)*(p - 1)**2
Let s(c) be the first derivative of -c**6/6 + 14*c**5/5 - 51*c**4/4 + 50*c**3/3 + 22*c**2 - 72*c + 770. Factor s(t).
-(t - 9)*(t - 2)**3*(t + 1)
Let z(d) = 124*d**2 + 705*d + 66. Let v be z(-6). Factor -85/3*c**2 - v + 340*c - 40/3*c**3 + 5/3*c**4.
5*(c - 6)**2*(c - 1)*(c + 5)/3
Let k(p) be the third derivative of -p**9/6048 + p**7/560 + p**6/360 - 67*p**3/6 - 3*p**2 - 2*p. Let f(z) be the first derivative of k(z). Factor f(l).
-l**2*(l - 2)*(l + 1)**2/2
Let j = 49538 - 49538. Factor -10/19*w**2 - 2/19*w**3 + j - 12/19*w.
-2*w*(w + 2)*(w + 3)/19
Let u be ((-1)/(-3))/((-12)/27*(-299)/598). Determine y so that -u*y - 4/3 - 1/6*y**2 = 0.
-8, -1
Suppose 215*a**3 - 13*a**4 - 15*a**3 - 543*a**2 - 26912*a - 965*a**2 + 9*a**4 = 0. What is a?
-8, 0, 29
Let i be ((-21)/70)/((-81)/36). Let o(x) be the first derivative of 2/5*x + 0*x**2 - 16 - i*x**3. Determine z, given that o(z) = 0.
-1, 1
Factor 64 + 133*i**4 + 29*i**2 - 131*i**4 + 64*i + 12*i**2 - 53*i**2 - 10*i**3.
2*(i - 4)**2*(i + 1)*(i + 2)
Factor 968/3 + 82*g**2 - 324*g - 1/3*g**3.
-(g - 242)*(g - 2)**2/3
Suppose 120*t = 116*t + 104728. Determine n, given that -8*n**3 + 26182*n**4 + 4*n**2 - t*n**4 + 2*n**5 - 4 + 6*n = 0.
-2, -1, 1
Let m be (-72)/(-18) + 638/(-77) + 6. Find b such that 2 - m*b - 2/7*b**2 = 0.
-7, 1
Let b(r) = 3*r**2 - 69*r + 594. Let w(h) = 5*h**2 - 137*h + 1170. Let k(p) = -11*b(p) + 6*w(p). Factor k(s).
-3*(s - 6)*(s + 27)
Let l be (-256)/640 - (-3)/((-30)/(-4)). Let r(m) be the second derivative of m + 1/10*m**5 + 0*m**2 - 1/3*m**3 + 1/45*m**6 - 1/18*m**4 + l. Factor r(x).
2*x*(x - 1)*(x + 1)*(x + 3)/3
Solve f**2 + 35559*f**4 - 71056*f**4 + 576*f + 35554*f**4 - 60 - 576*f**3 + 2*f**2 = 0.
-1, 2/19, 1, 10
Suppose 147*d - 81 = 138*d. Determine a, given that 37*a**3 - 31*a - 175 + 84*a**3 + 77*a**2 - d*a + 179 = 0.
-1, 2/11
Let a(z) = -147*z**2 - 42*z + 150. Let i(b) = 41*b**2 + 12*b - 43. Let u(n) = -5*a(n) - 18*i(n). What is d in u(d) = 0?
-4, 2
Let y(n) be the second derivative of -n**4/4 + 61*n**3/2 - 2048*n. Factor y(v).
-3*v*(v - 61)
Let a(q) be the first derivative of q**4/30 + 6*q**3/5 - 7*q - 145. Let y(i) be the first derivative of a(i). Factor y(v).
2*v*(v + 18)/5
Let g(d) be the second derivative of -d**4/6 - 25*d**3/2 - 73*d**2/2 + 3531*d. Factor g(w).
-(w + 1)*(2*w + 73)
Let l(i) = -6*i**3 - 184*i**2 + 71*i + 283. Let c be l(-31). Find f such that -30/11*f - 14/11*f**c - 4/11*f**2 + 28/11*f**3 + 2/11*f**5 + 18/11 = 0.
-1, 1, 3
Factor 0 + 24/7*h - 3/7*h**2.
-3*h*(h - 8)/7
Let d be 10440/(-16965) - 120/(-26). Factor 0 - 18/5*s - 8/5*s**5 - 84/5*s**2 - 122/5*s**3 - 56/5*s**d.
-2*s*(s + 3)**2*(2*s + 1)**2/5
Factor -1/2*d**4 + 23*d + 12 - 2*d**3 + 19/2*d**2.
-(d - 4)*(d + 1)**2*(d + 6)/2
Let w(i) = -5*i**3 + 17*i**2 - 55*i + 79. Let r(a) = -35*a**2 - 14*a - 189 + 11*a**3 + 124*a + 30. Let y(h) = 4*r(h) + 9*w(h). Factor y(u).
-(u - 5)**2*(u - 3)
Let -140 + 1260*u - 632*u + 5*u**2 - 643*u = 0. What is u?
-4, 7
Let s = 118 - 113. Let w(n) = 8*n**3 - 10*n**2 + 24*n + 13. Let x(z) = 10*z**3 - 9*z**2 + 23*z + 12. Let q(t) = s*x(t) - 6*w(t). Factor q(r).
(r - 2)*(r + 9)*(2*r + 1)
Let a(n) be the first derivative of -n**6/105 - 3*n**5/70 - n**4/21 - 92*n - 99. Let z(o) be the first derivative of a(o). Solve z(w) = 0 for w.
-2, -1, 0
Let r = -19 + 20. Let i(u) = u. Let l(g) = -4*g**2 - 32*g - 16. Let c = -131 + 143. Let h(z) = c*i(z) + r*l(z). Let h(b) = 0. Calculate b.
-4, -1
Let y(t) be the second derivative of 5*t**5/14 + 17*t**4/14 + 2*t**3/21 - 143*t + 3. Factor y(g).
2*g*(g + 2)*(25*g + 1)/7
Let w(x) = -6*x**3 - x**2 - x + 1. Let s(c) = 38*c**3 + 4*c**2 - 74*c + 218. Let l(u) = -s(u) - 6*w(u). Determine p so that l(p) = 0.
-7, 4
Let j(u) = -u**2 + 5*u + 25758. Let s be j(-158). Factor 2/5*d + 0*d**2 + 1/5 - 1/5*d**s - 2/5*d**3.
-(d - 1)*(d + 1)**3/5
Let p be 0/(7 + -4 - 5). Suppose 4*a + 4*n + 4 = p, -4*a - 2*n - 1 + 3 = 0. Suppose 20/7*y**a + 4/7*y**5 - 12/7*y**3 - 8/7*y + 0 - 4/7*y**4 = 0. Calculate y.
-2, 0, 1
Let b(q) be the third derivative of q**8/3024 + 2*q**7/315 + 13*q**6/270 + 17*q**5/90 + 91*q**4/216 + 5*q**3/9 - 287*q**2 + 2*q + 1. Find n such that b(n) = 0.
-5, -3, -2, -1
Suppose 5*b - 11 = 2*m - 19, -2*b = 0. Factor 48*c**2 + 5*c + c**m - 11*c**3 + 17*c**2 - 30*c - 30*c**2.
c*(c - 5)**2*(c - 1)
Let i(m) be the third derivative of m**5/60 + 27*m**4/8 - 308*m**3/3 + 7693*m**2. Let i(u) = 0. What is u?
-88, 7
Let g(b) be the second derivative of -b**5/20 - 187*b**4/6 + 377*b**3/6 + 375*b**2 - 12583*b. Find m such that g(m) = 0.
-375, -1, 2
Let g(o) = -16*o**2 + 30*o - 182. Let t(z) = -13*z**2 + 29*z - 180. Let p(y) = 5*g(y) - 6*t(y). Factor p(v).
-2*(v - 5)*(v + 17)
Let n(y) be the second derivative of 7*y**5/20 - 17*y**4/12 - 19*y**3/3 + 24*y**2 - y + 37. Factor n(r).
(r - 1)*(r + 2)*(7*r - 24)
Let o(z) = 2*z**2 + 2*z + 4. Let q = 24 - 24. Let d = -5 + q. Let x(i) = 3*i**2 + 2*i + 5. Let b(h) = d*o(h) + 4*x(h). Factor b(a).
2*a*(a - 1)
Suppose 18 = 4*n - 34. Suppose n*v - 5*v - 40 = 0. Suppose 10*y**3 - 30 - 15*y**2 + 2*y**3 - 3*y**3 + v*y**4 - 55*y + 6*y**3 = 0. Calculate y.
-3, -1, 2
Let i(r) be the third derivative of 1/50*r**5 - 1/525*r**7 + 8*r**2 + 0*r**3 + 0 + r - 3/10*r**4 + 1/75*r**6. Factor i(s).
-2*s*(s - 3)**2*(s + 2)/5
Let h = 45575429/1663335 + -10/332667. Suppose -1/5*r**4 + 279/5*r - 162/5 - h*r**2 + 21/5*r**3 = 0. Calculate r.
1, 2, 9
Let o = 427 - 425. Determine t, given that 4 - 16*t**3 + 256*t**o - 232*t**2 + 0*t**4 - 16*t + 4*t**4 = 0.
1
Let y(u) be the third derivative of -3*u**7/490 + 5*u**6/56 + 53*u**5/420 + 3*u**4/56 + 1052*u**2. Solve y(x) = 0.
-1/3, 0, 9
Let y(d) = -124*d**2 + 7*d + 13. Let w be y(-2). Let z = 501 + w. Solve 1/2*a**2 - 1/4*a**z + 1/2*a**3 - 1/4*a - 1/4 - 1/4*a**5 = 0 for a.
-1, 1
Suppose 90*o - 77 = 10*o + 83. Let i(z) be the first derivative of -1/2*z + 20 + 0*z**o + 1/6*z**3. Let i(n) = 0. What is n?
-1, 1
Let i = -1176 + 875. Let h = i + 301. Suppose 5/4*g**4 + h - 5/4*g + 15/4*g**2 - 15/4*g**3 = 0. Calculate g.
0, 1
Let p(f) be the second derivative of -f**6/120 + 17*f**4/48 - 2*f**2 - 1093*f. What is u in p(u) = 0?
-4, -1, 1, 4
Factor -24/5 - 2/5*j**3 - 8/5*j + 14/5*j**2.
-2*(j - 6)*(j - 2)*(j + 1)/5
Let m(k) be the first derivative of -15/4*k**4 + 3/10*k**5 + 0*k - 176 - 21/2*k**2 + 23/2*k**3. Determine n so that m(n) = 0.
0, 1, 2, 7
Let z(v) be the second derivative of 2 - 175/6*v**4 + 0*v**2 + 27/2*v**5 - 29/15*v**6 - 40*v + 2/21*v**7 - 125/3*v**3. Factor z(n).
2*n*(n - 5)