*c**2 + 128*c - 84. Let z(p) = 9*x(p) - 8*y(p). Factor z(u).
3*(u - 14)*(u - 1)*(3*u - 2)
Factor 0 - 154*f + 540*f**2 - 7/2*f**3.
-f*(f - 154)*(7*f - 2)/2
Let j = -494303 - -526055. Suppose j*h - 148176/5 - 2/5*h**4 + 254/5*h**3 - 10836/5*h**2 = 0. Calculate h.
1, 42
Factor -507*x + 257049/2*x**2 + 1/2.
(507*x - 1)**2/2
Let v be 2 + -7 + 898/2 + 0. Suppose 0 = 21*r - v + 108. Factor 4/3 + 48*c**2 - r*c.
4*(6*c - 1)**2/3
Let a(o) = o**2 - 187*o + 988. Let x(z) = 7*z**2 - 955*z + 4939. Let c(n) = 11*a(n) - 2*x(n). Find g, given that c(g) = 0.
-55, 6
Let v(m) be the third derivative of 0*m + 2/3*m**3 - 2/15*m**5 - m**2 - 1/15*m**6 + 1/6*m**4 + 2/105*m**7 + 1/84*m**8 - 16. Factor v(l).
4*(l - 1)**2*(l + 1)**3
Suppose 0 = -4*x - 4*v - 2932 + 2984, 3*v - 27 = 3*x. Factor -3/2*q**x + 21/2*q + 12.
-3*(q - 8)*(q + 1)/2
Let s be 3/(-6)*(-6 - (-9 + 3)). Let l(o) be the third derivative of 0*o - 1/12*o**5 - 9*o**2 + s*o**3 + 0 - 5/8*o**4. Factor l(m).
-5*m*(m + 3)
Let x be 22 + 20*8/20. Let b be 24/9 + 2/x*5. Solve 0 - 4/19*c**b - 4/19*c + 18/19*c**2 - 18/19*c**4 + 8/19*c**5 = 0 for c.
-1, 0, 1/4, 1, 2
What is l in -1/2*l**5 + 217/2*l**3 + 0 + 20*l**4 + 90*l + 178*l**2 = 0?
-2, -1, 0, 45
Let d(u) be the first derivative of -49/38*u**4 + 60/19*u**3 + 204 - 1/57*u**6 + 24/95*u**5 - 4*u**2 + 48/19*u. Find l such that d(l) = 0.
1, 2, 6
Let b(j) be the third derivative of -j**9/90720 - j**8/3780 + 7*j**5/60 + 25*j**2. Let h(k) be the third derivative of b(k). Find z, given that h(z) = 0.
-8, 0
Suppose 32 = 2*y - 264. Determine h, given that y*h + 139*h - h**2 + 2 - 286*h = 0.
-1, 2
Suppose -98*l**2 - 54*l**3 + 0 + 0*l - 5/2*l**4 = 0. Calculate l.
-98/5, -2, 0
Let w = -10657 + 10657. Let d(l) be the third derivative of 1/170*l**5 + 0*l - 18*l**2 + 1/340*l**6 + 0 + w*l**3 + 1/204*l**4 + 1/1785*l**7. Solve d(q) = 0.
-1, 0
Let -2/11 - 18/11*z + 18/11*z**3 + 2/11*z**2 = 0. Calculate z.
-1, -1/9, 1
Let t(w) be the second derivative of -w**6/30 + 2*w**5/5 + w**4/12 - 34*w**3/3 - 30*w**2 - 6282*w. Find y, given that t(y) = 0.
-2, -1, 5, 6
Let q(o) be the first derivative of o**6/6 + 26*o**5/5 + 46*o**4 + 98*o**3 + 135*o**2/2 - 1892. Let q(u) = 0. What is u?
-15, -9, -1, 0
Let g(f) = -5*f**3 + 59*f**2 + 622*f + 576. Let z(u) = -11*u**3 + 116*u**2 + 1236*u + 1148. Let n(x) = -13*g(x) + 6*z(x). Solve n(j) = 0.
-60, -10, -1
Let k = -72530 + 108027. Factor 36175*a + k*a + 202*a**3 - 78608 + 2*a**4 + 3319*a**2 + 3413*a**2.
2*(a - 1)*(a + 34)**3
Let s = 2688 + -2681. Let w(l) be the third derivative of 2/3*l**3 + 4/5*l**5 + 12*l**2 - 13/12*l**4 + 0*l + 0 + 4/105*l**s - 17/60*l**6. Factor w(d).
2*(d - 2)*(d - 1)**2*(4*d - 1)
Suppose -2*j + 3*q = -31, 3*j - 50 = -2*j + 2*q. Suppose -7*k = -j*k + 5. Factor 3*p**3 + 4*p**3 - 7*p**3 + k*p**4.
5*p**4
Let f(w) be the first derivative of w**5/270 - 7*w**4/108 + 2*w**3/9 + 30*w**2 + 19. Let l(h) be the second derivative of f(h). Suppose l(b) = 0. Calculate b.
1, 6
Suppose 0 = -5*a - 2*a + 56. Determine k so that -1647*k**2 + a*k**3 + 1639*k**2 - 50*k + 2*k**4 + 18*k = 0.
-4, -2, 0, 2
Let u(g) be the second derivative of g**6/90 + 211*g**5/60 - 425*g**4/36 + 71*g**3/6 + 13*g + 3. Solve u(d) = 0 for d.
-213, 0, 1
Let t(q) = -q**3 + 10*q**2 + 24*q + 8. Let f be t(12). Solve -10*o**2 - 72*o + 14*o**2 - 53 - 15 - f = 0 for o.
-1, 19
Suppose 15*m - 233777 = -87122. Factor 9777*t - 6*t**4 - m*t - 2*t**5.
-2*t**4*(t + 3)
Let p(m) be the third derivative of -m**8/18144 + m**7/1890 - m**6/810 - 73*m**5/60 - 16*m**2 + m. Let n(u) be the third derivative of p(u). Factor n(b).
-2*(b - 2)*(5*b - 2)/9
Let i(v) be the third derivative of -v**5/30 - 1103*v**4/6 - 1216609*v**3/3 + v**2 + 3462*v. Factor i(a).
-2*(a + 1103)**2
Suppose -6088*r - h + 2 = -6087*r, -2*r + 4*h + 4 = 0. Factor 8/9*o + 10/9*o**3 - 2/9*o**4 + 0 - 16/9*o**r.
-2*o*(o - 2)**2*(o - 1)/9
Let n(h) be the second derivative of 2*h**6/5 + 51*h**5/4 + 177*h**4/4 + 115*h**3/2 + 57*h**2/2 - 39*h + 86. Suppose n(s) = 0. Calculate s.
-19, -1, -1/4
Let z(g) be the second derivative of g**6/105 - 32*g**5/35 + 299*g**4/42 - 236*g**3/21 + 3347*g. Suppose z(v) = 0. What is v?
0, 1, 4, 59
Let k(x) be the second derivative of -x**9/136080 - x**8/15120 - x**7/4536 - x**6/3240 + x**4/6 - 191*x. Let b(o) be the third derivative of k(o). Factor b(r).
-r*(r + 1)**2*(r + 2)/9
Let g(j) be the second derivative of j**7/350 - j**6/100 - j**5/25 + j**4/5 - 15*j**2/2 + 6*j - 4. Let x(p) be the first derivative of g(p). Factor x(h).
3*h*(h - 2)**2*(h + 2)/5
Let v(j) be the third derivative of j**8/168 + 19*j**7/105 + 7*j**6/12 + 17*j**5/30 - 1289*j**2. Factor v(p).
2*p**2*(p + 1)**2*(p + 17)
Let j(u) be the second derivative of 0*u**2 + 1/24*u**4 + 0*u**3 + 0 - 12*u - 1/40*u**5. Factor j(x).
-x**2*(x - 1)/2
Let n(x) be the third derivative of x**8/336 - x**7/70 - 13*x**6/120 + 11*x**5/60 + x**4 - 10*x**3/3 + 1031*x**2 - 2. What is z in n(z) = 0?
-2, 1, 5
Let 719*m**2 + 332 - 4*m**3 - 763*m**2 + 256 - 28*m + 0*m**3 = 0. Calculate m.
-7, 3
Let x be (-88)/15 + (-28)/420 - (-7 - 0). Let s(t) be the first derivative of 4/5*t - 10 + x*t**3 - 8/5*t**2. Suppose s(i) = 0. Calculate i.
1/2
Let l(x) = 11*x**5 - 22*x**4 + x**3 + 24*x**2 + 2*x + 2. Let n(c) = -5*c**5 - c**3 - c**2 - c - 1. Let i(g) = l(g) + 2*n(g). Find z such that i(z) = 0.
-1, 0, 1, 22
Let k(y) = 13*y**2 - 106*y + 5. Let i be k(8). Let x be (-3)/3 + i/((-462)/54). Factor -18/7 + 12/7*w - 12/7*w**3 + 16/7*w**2 + x*w**4.
2*(w - 3)**2*(w - 1)*(w + 1)/7
Suppose -293 = -212*n + 131. Let u(i) be the first derivative of -1/2*i**3 - 75/2*i + 1 - 15/2*i**n. What is k in u(k) = 0?
-5
Let f = -1629 - -1541. Let c be f/(-836) - (-32)/57. Find p, given that 0 + c*p**3 + 4/3*p + 2*p**2 = 0.
-2, -1, 0
Factor -480 - 492 - 44*x**2 + 339*x - 267 + 875 + 70*x - x**3.
-(x - 7)*(x - 1)*(x + 52)
Let j = 119 + -114. Let y(o) = 25*o**2 - 75*o - 80. Let a(k) = -4*k**2 + k + 1. Let i(c) = j*a(c) + y(c). Determine w, given that i(w) = 0.
-1, 15
Let d = 3270/41 - 102993/164. Let i = d - -549. Let -1/2*z + i - 1/4*z**2 = 0. Calculate z.
-3, 1
Let d(m) be the first derivative of m**6/150 - m**5/5 + 12*m**4/5 - 72*m**3/5 - 59*m**2 - 55. Let n(j) be the second derivative of d(j). Factor n(r).
4*(r - 6)**2*(r - 3)/5
Suppose -3 = i + 3*f - 23, f + 12 = 2*i. Factor 28*z**3 + 334*z + i*z**2 - 36*z**4 - 334*z.
-4*z**2*(z - 1)*(9*z + 2)
Let i(c) be the first derivative of 219*c**4/4 - 71*c**3 - 222*c**2 - 12*c - 14622. Solve i(g) = 0 for g.
-1, -2/73, 2
Let p = 4036/6955 - 16/107. Let h(x) be the first derivative of -34 + 17/26*x**4 + 4/13*x**3 + p*x**5 + 1/13*x**6 + 0*x**2 + 0*x. Solve h(d) = 0 for d.
-3, -1, -2/3, 0
Determine x so that 56 - 31/3*x + 1/3*x**2 = 0.
7, 24
Let z be (-2635)/2975 + (-4)/((-28)/9). Let -32/5*l - z*l**4 + 32/5 + 0*l**2 + 8/5*l**3 = 0. Calculate l.
-2, 2
Let p be 0/(80/(-35) - (-2)/7). Factor 7 - 11 + 5*c**2 + p - 6 - 5*c.
5*(c - 2)*(c + 1)
Let r(p) be the first derivative of p**6/3 - 18*p**5/5 - 26*p**4 - 2121. Factor r(j).
2*j**3*(j - 13)*(j + 4)
Let t(g) = 240*g**3 - 625*g**2 + 1210*g - 610. Let x(j) = -337*j**3 + 937*j**2 - 1815*j + 914. Let p(i) = 7*t(i) + 5*x(i). Suppose p(l) = 0. What is l?
1, 60
Let i(h) = 8*h**4 - 4*h**3 - 21*h**2 + 25*h - 5. Let w(f) = 13*f**4 - 4*f**3 - 42*f**2 + 49*f - 11. Let b(x) = -5*i(x) + 3*w(x). Factor b(y).
-(y - 4)*(y - 2)*(y - 1)**2
Suppose 48*i - 51*i = -6. Find l such that 2*l**i + 52 - 15*l - l**2 + 2*l**2 - 40 = 0.
1, 4
Let b(m) = m**2 + 19*m + 50. Let v be b(-16). Factor 3 - t**3 + t**v - 3 + 0 - 12*t - 8*t**2.
-t*(t + 3)*(t + 4)
Factor 3861*p + 40 + 70*p**2 - 71*p**2 - 3858*p.
-(p - 8)*(p + 5)
Let f(m) be the first derivative of -m**6/30 - m**5/5 - m**2/2 - 26*m - 126. Let t(b) be the second derivative of f(b). Suppose t(r) = 0. What is r?
-3, 0
Let k = 75 + -69. Suppose -4*s = -3*g + 855, -k*s = 2*g - s - 570. Solve 0*n**2 + 3*n + 3*n**2 - 303 + g = 0.
-3, 2
Let t(f) = f**2 + 71*f + 558. Let s be t(-9). Suppose 0*u - 24/5*u**4 + 4/5*u**5 + s + 36/5*u**3 + 0*u**2 = 0. Calculate u.
0, 3
Let a(n) = -2*n**2 - 1. Let h(k) = -5*k**3 - 1702*k**2 - 147920*k + 9. Let i(p) = 9*a(p) + h(p). Factor i(b).
-5*b*(b + 172)**2
Let v(j) be the third derivative of j**5/210 - 11*j**4 + 10164*j**3 + 262*j**2. Solve v(d) = 0 for d.
462
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