such that j(s) = 0.
-11, -2, -1, 1
Solve 178 + 2*p**3 + 38*p + 205*p**2 + 0*p**3 - 175*p**2 - 280*p + 32 = 0.
-21, 1, 5
Factor 3*c**4 + 9*c**3 + 50*c**2 - 47*c**2 + 21*c - 30*c - 6.
3*(c - 1)*(c + 1)**2*(c + 2)
Let a(j) be the first derivative of j**5/60 - 5*j**4/12 + 3*j**3/2 + 19*j**2/2 + 13. Let s(g) be the second derivative of a(g). Factor s(f).
(f - 9)*(f - 1)
Let z(p) be the second derivative of p**4/33 + 15*p**3/11 - 47*p**2/11 + 881*p. Factor z(q).
2*(q - 1)*(2*q + 47)/11
Let g = 2340 + -2337. Let t(f) be the third derivative of 0*f + 0*f**g + 0 + 3/8*f**4 - 1/80*f**6 + 1/40*f**5 - 27*f**2. Factor t(j).
-3*j*(j - 3)*(j + 2)/2
Factor 1872/7*c - 114/7*c**2 + 2/7*c**3 - 6760/7.
2*(c - 26)**2*(c - 5)/7
Solve 16/5*d**2 - 7*d + 18/5 + 1/5*d**3 = 0 for d.
-18, 1
Let x(z) be the second derivative of -5*z**4/72 + 245*z**3/36 + 265*z**2/3 + 32*z - 17. Let x(j) = 0. What is j?
-4, 53
Let r = 143 - 141. Factor -5 + r*j**3 - 7*j**2 + 17 + 8*j - 15.
(j - 1)**2*(2*j - 3)
Factor 2024/5 - 2022/5*j - 2/5*j**2.
-2*(j - 1)*(j + 1012)/5
Let s = 4627 + -13148/3. Let i = -239 + s. Factor i*t - 32/3 - 4/3*t**3 + 8/3*t**2.
-4*(t - 2)**2*(t + 2)/3
Let c(u) = u + 2. Let v be c(7). Find a, given that -v*a**2 + 3*a**5 - 6*a**3 + 6*a**2 - 5*a**4 + 15*a**3 - 4*a**4 = 0.
0, 1
Let o be ((-3 - -5)/(-14))/(22/(-28)) + 31/11. Suppose 0 - 1/5*k**o + 1/10*k**4 - 2/5*k - 7/10*k**2 = 0. Calculate k.
-1, 0, 4
Let t(k) be the second derivative of k**5/4 + 95*k**4/4 + 1625*k**3/2 + 21875*k**2/2 - 1479*k. Factor t(h).
5*(h + 7)*(h + 25)**2
Let j be 64/144 + (-14)/(-9). What is l in 968 - 34*l + 34*l**3 - 972 + 0*l**2 + 4*l**j = 0?
-1, -2/17, 1
Let -22 + 1/4*j**3 + 19/4*j**2 - 35/2*j = 0. Calculate j.
-22, -1, 4
Solve -42135/2*b - 795/2*b**2 - 5/2*b**3 - 744385/2 = 0 for b.
-53
Factor 80*o + 0 + 1/5*o**3 + 8*o**2.
o*(o + 20)**2/5
Let q(f) = 48*f**2 + 11*f - 61. Let c be q(-24). Let v = c + -135939/5. What is a in 4/5*a**2 + v + 104/5*a = 0?
-13
Find h, given that -129 + 8*h - 19*h**2 + 6*h**2 + 38*h + 12*h**2 = 0.
3, 43
Suppose -3*l - 2*v - 9 = 0, -5*v + 3*v + 15 = -5*l. Let i be (-540)/(-189) - (-1 - l). Factor -8/7 + 2/7*h**2 + i*h.
2*(h - 1)*(h + 4)/7
Factor -220*s**2 + 1003*s + 522*s + 137 - 32.
-5*(s - 7)*(44*s + 3)
Solve -118/3*x**2 + 18*x + 116/3 + 2/3*x**4 - 18*x**3 = 0 for x.
-2, -1, 1, 29
Let t(l) = 4*l**4 - 80*l**3 - 1741*l**2 - 5999*l - 4337. Let k(f) = f**4 + 2*f**2 + f - 1. Let m(i) = -20*k(i) + 4*t(i). What is n in m(n) = 0?
-38, -3, -1
Let j = 5164 + -5164. Let z(b) be the second derivative of 0*b**2 + 0*b**4 + 3*b + 0*b**3 + 1/50*b**5 + j. Solve z(y) = 0 for y.
0
Let z(c) be the first derivative of -c**3/3 - 404*c**2 - 163216*c - 137. Solve z(v) = 0 for v.
-404
Let i be (2080 - (-56)/(-8))/(-3). Let y = i - -691. Let y + 1/3*r**2 + 2/3*r**3 - 1/3*r**4 - 2/3*r = 0. What is r?
-1, 0, 1, 2
Suppose 84*d = 92*d. Suppose d = 83*c - 64*c - 38. Suppose 18/5*p**c - 18/5*p**4 + 3/5*p**3 + 0 - 3/5*p**5 + 0*p = 0. What is p?
-6, -1, 0, 1
Find q, given that 2/3*q**2 + 2/3*q**4 - 4*q + 8/3*q**3 + 0 = 0.
-3, -2, 0, 1
Let d(c) be the second derivative of -c**6/270 + 17*c**5/60 - 5*c**4/4 - 427*c**3/54 - 40*c**2/3 + 4230*c - 1. Find h, given that d(h) = 0.
-1, 5, 48
Suppose 4*c - 27011 = -3*r - 26915, -3*r + 4*c - 72 = 0. What is n in -573/4*n - 567/4*n**2 - 183/4*n**3 - 48 + 3/4*n**r = 0?
-1, 64
Let h(k) be the second derivative of -k**8/4032 - k**7/168 + k**6/432 + k**5/8 - 47*k**4/12 - 64*k. Let c(w) be the third derivative of h(w). Factor c(t).
-5*(t - 1)*(t + 1)*(t + 9)/3
Let x(p) = 15*p**3 + 22*p**2 + 12. Let j(a) = 14*a**3 + 17*a**2 + 10. Let v(n) = -6*j(n) + 5*x(n). Let v(k) = 0. What is k?
0, 8/9
What is q in 6/5*q**2 - 6/5*q**4 + 0*q + 1/5*q**3 - 1/5*q**5 + 0 = 0?
-6, -1, 0, 1
Let y(s) = 9*s + 29. Let k be y(-3). Factor -919*f**2 - 921*f**2 + 1838*f**2 - k*f**3 + 0*f**3.
-2*f**2*(f + 1)
Let g(p) be the second derivative of -1/540*p**5 + 15*p - 1/54*p**4 - 6*p**2 - 2/27*p**3 + 0. Let c(n) be the first derivative of g(n). Factor c(v).
-(v + 2)**2/9
Suppose -2*p = 3*y - 10, 6 = -2*p + 805*y - 800*y. Let -3/8 - 9/8*u**p + 3/2*u = 0. Calculate u.
1/3, 1
Solve 546*v**2 + 572*v**3 - v**5 - 2816*v - 2371*v - 670*v**4 + 4594*v + 124 + 22*v**5 = 0.
-1, 1/3, 4/7, 1, 31
Let d(w) be the first derivative of 82 + 59/3*w**3 + 1/5*w**5 + 0*w + 19*w**2 + 11/2*w**4. Let d(q) = 0. Calculate q.
-19, -2, -1, 0
Let y(f) = -2*f**3 + f**2 - 1. Let o(i) = -9*i**3 + 15*i**2 - 3*i - 21. Let l = 196 + -199. Let r(c) = l*y(c) + o(c). Suppose r(t) = 0. What is t?
-1, 2, 3
Let d(v) be the third derivative of -32*v**4 + 0 - 1/480*v**6 + 2/5*v**5 - 12*v + v**2 + 4096/3*v**3. Factor d(c).
-(c - 32)**3/4
Factor 510*y**2 + 4192*y - 508*y**2 - 4190*y.
2*y*(y + 1)
Determine u so that -1/2*u**4 - 37/2*u**3 - 451/2*u**2 - 1815/2*u + 0 = 0.
-15, -11, 0
Factor -5251133*a**5 + 3*a**2 - 3*a**2 - 4*a**4 + 3*a**3 + 5251134*a**5.
a**3*(a - 3)*(a - 1)
What is b in 37*b**2 - 33*b + 2358 - 4731 + 2369 = 0?
-4/37, 1
Let i = 1587 + -1585. Let a(m) be the first derivative of -13 + 3/4*m**4 + 0*m**i + m**3 + 0*m. Factor a(g).
3*g**2*(g + 1)
Let k(v) be the third derivative of -v**6/120 + 53*v**5/60 - 41*v**4/4 + 48*v**3 + 2*v**2 - 1328*v. Factor k(u).
-(u - 48)*(u - 3)*(u - 2)
Let r be (-13 - 175/(-10))*4/9. Let 42*h**r + 9*h**4 + 3*h**4 - 12*h + 1 - 19 - 3*h**4 - 6 + 39*h**3 = 0. Calculate h.
-2, -1, 2/3
Let j = 293229/5 - 58645. Find t, given that j*t**4 + 0 + 20*t**2 + 8*t**3 + 0*t = 0.
-5, 0
Let x(v) = -10*v + 110. Suppose -5*t + 27 = 4*k - 2*k, -5 = -5*t. Let p be x(k). Factor -1/5*r**3 + 2/5*r**4 - 1/5*r**5 + 0*r + p + 0*r**2.
-r**3*(r - 1)**2/5
Let m(i) be the third derivative of 2064969*i**5/100 - 1437*i**4/10 + 2*i**3/5 - 430*i**2. Factor m(l).
3*(1437*l - 2)**2/5
Let g(f) be the third derivative of -f**5/90 - 5*f**4/12 - 14*f**3/9 + 108*f**2 - 10*f + 1. Find r, given that g(r) = 0.
-14, -1
Let g = 749 + -750. Let x be -5 + (g + 3)*(-1617)/(-378). Factor 4/9*k**3 + 16/3 - x*k - 4/9*k**2.
4*(k - 2)**2*(k + 3)/9
Let q(h) be the first derivative of -686/9*h**6 + 376*h**3 + 36*h - 162*h**2 + 60 - 1414/3*h**4 + 4508/15*h**5. Suppose q(b) = 0. Calculate b.
3/7, 1
Let 4/7*z**5 - 24/7*z**4 + 40 - 684/7*z + 512/7*z**2 - 88/7*z**3 = 0. Calculate z.
-5, 1, 2, 7
Let u(x) be the first derivative of x**6/30 - 4*x**5 + 653*x**4/4 - 6494*x**3/3 - 7514*x**2 - 39304*x/5 - 1394. Factor u(m).
(m - 34)**3*(m + 1)**2/5
Let r(g) = -155*g**2 - 185*g - 60. Let m(d) = 155*d**2 + 185*d + 66. Let l(n) = 5*m(n) + 6*r(n). Factor l(b).
-5*(b + 1)*(31*b + 6)
Let y(o) be the second derivative of o**4/20 - 89*o**3/5 - 1092*o**2/5 - 327*o. Solve y(s) = 0 for s.
-4, 182
Let o = 21973 + -21971. Let 832/7*y**o + 14*y**5 + 0 + 256/7*y + 74*y**4 + 996/7*y**3 = 0. Calculate y.
-2, -8/7, -1, 0
Factor 4060*h + 989 - 855 - 1030*h**2 + 5*h**3 - 870 - 3304.
5*(h - 202)*(h - 2)**2
Let f be (252/(-3024))/(-2*2/132). Determine s, given that 9/2 - f*s + 1/4*s**2 = 0.
2, 9
Let p be 6 + 12/(-4) + (2 - 0). Let -3*s**p - 16*s**4 + 3*s + 418*s**2 - 412*s**2 + 10*s**4 = 0. Calculate s.
-1, 0, 1
Suppose -15*v - 114 = -144. Let n(c) be the first derivative of 0*c - 1/3*c**v - 4/9*c**3 - 4. Factor n(a).
-2*a*(2*a + 1)/3
Find q, given that -3315*q - 22*q**3 + 186*q**2 + 20114 - 21*q**3 - 1862 - 20*q**3 + 60*q**3 = 0.
13, 36
Let x(w) be the third derivative of -1/360*w**5 + 24*w + 0 - 2*w**2 + 1/36*w**4 - 1/12*w**3. Let x(r) = 0. Calculate r.
1, 3
Factor -1950/7 - 38/7*t**2 + 4/7*t**3 - 680/7*t.
2*(t + 5)**2*(2*t - 39)/7
Let v = -347042 - -347047. Suppose -22/5*m**4 + 38/5*m - 46/5*m**3 + 8/5*m**v + 8/5 + 14/5*m**2 = 0. Calculate m.
-1, -1/4, 1, 4
Let n(y) = -y**3 + y**2 + 8*y + 100. Let t be n(0). Determine b so that t - 3*b**2 - 93*b - 89*b + 8*b**2 + 77*b = 0.
1, 20
Let u(s) be the third derivative of 0*s**3 + 0*s**4 + 1/1008*s**8 + 1/90*s**5 - 12*s**2 + 3 + 0*s - 1/360*s**6 - 1/315*s**7. Let u(p) = 0. What is p?
-1, 0, 1, 2
Suppose 3*i - 12 = t + 5*i, -3*i = -t + 3. Let u be 1 + -5 - (t + -2). Factor u*z**2 - 3*z + 5*z - z.
z*(4*z + 1)
Let m(v) be the third derivative of 0 + 1/900*v**6 - 11/450*v**5 + 2*v**2 + 49/15*v**3 + 136*v + 7/180*v**4. Suppose m(u) = 0. Calculate u.
-3, 7
Let j = -410301 - -410303. Solve -24/5 - 26/5*h - 2/5*h**j = 0 for h.
-12, -1
Let l(m) b