*5/120 - 5*p**4/12 - 7*p**3/4 - p**2/2 + 93. Let w(k) be the second derivative of u(k). Factor w(l).
(l - 21)*(l + 1)/2
Let g(j) = -j**4 + j - 1. Let m(w) = 7445*w**5 + 30*w**3 - 84*w + 24*w**4 - 54*w**2 + 31 + 53 - 7442*w**5. Let i(d) = 3*g(d) + m(d). Solve i(b) = 0 for b.
-3, 1
Let p be (((-342)/28 + 12)*-32)/((-45)/(-5600)). Factor -3520/3*v + p - 470/3*v**2 - 5*v**3.
-5*(v + 16)**2*(3*v - 2)/3
Let -20/7*n**4 + 4/7*n**5 - 20/7 - 8/7*n**3 + 4/7*n + 40/7*n**2 = 0. What is n?
-1, 1, 5
Let k(j) be the third derivative of j**5/40 - 67*j**4/8 - 411*j**3/4 - 20*j**2 + 35*j. Determine s so that k(s) = 0.
-3, 137
Let n(k) = 73*k**4 + 68*k**3 + 94*k**2 + 60*k + 9. Let c(h) = -355*h**4 - 340*h**3 - 472*h**2 - 300*h - 45. Let d(a) = 6*c(a) + 29*n(a). Factor d(g).
-(g + 1)**2*(g + 3)*(13*g + 3)
Let x(w) be the second derivative of -w**6/180 + 19*w**5/60 + 515*w**4/72 + 101*w**3/3 - 147*w**2 - 3098*w. Factor x(j).
-(j - 49)*(j - 1)*(j + 6)**2/6
Let p(y) be the second derivative of y**7/399 - 127*y**6/95 + 17857*y**5/95 + 18304*y**4/19 + 24576*y**3/19 - 69*y + 9. Find f, given that p(f) = 0.
-2, -1, 0, 192
Let j(p) be the second derivative of -16*p**6/15 + 1436*p**5/5 + 2421*p**4/2 + 3092*p**3/3 + 364*p**2 - 11*p - 278. Find v such that j(v) = 0.
-2, -1/4, 182
Suppose 55760*x + 13478*x**3 + 276*x**4 - 9533 - 5*x**5 + 261*x**4 + 36429 - 4222*x**3 + 37592*x**2 + 14*x**5 = 0. Calculate x.
-82/3, -2, -1
Let j be 4/(2/(-20)*270/(-81)). Let p be (j - (-520)/(-45))/((-4)/(-18)). Determine q, given that 2/5*q**3 + 0*q + 2/5*q**5 + 0*q**p + 4/5*q**4 + 0 = 0.
-1, 0
Let n(v) = 2*v - 21. Let u be n(12). Let y be (77/(-165))/(-1) - (-1)/5. Factor -2/3*r + 2/3*r**u + 2/3*r**2 - y.
2*(r - 1)*(r + 1)**2/3
Determine v, given that -336*v - 580/3*v**2 + 496/3 = 0.
-62/29, 2/5
Let o(p) be the second derivative of 11*p**4/14 - 23*p**3/14 + 3*p**2/14 - 932*p. What is n in o(n) = 0?
1/22, 1
Let j(s) = -21*s**2 + 1671*s + 231852. Let f(n) = -13*n**2 + 1670*n + 231852. Let r(v) = -3*f(v) + 2*j(v). Solve r(b) = 0 for b.
-278
Let p(n) = -2*n**2 + 4*n + 25. Let i(a) = -a**2 + a + 12. Suppose 2*l + 2*b - 12 = 0, -5*l + 10*l - 4*b = -6. Let k(f) = l*p(f) - 5*i(f). Factor k(s).
(s - 2)*(s + 5)
Let c(h) be the second derivative of -h**4/3 + 748*h**3/3 - 69938*h**2 + 4*h + 83. Suppose c(v) = 0. Calculate v.
187
Let i(x) be the first derivative of x**4/14 - 16*x**3/7 - x**2/7 + 48*x/7 + 4287. Determine o, given that i(o) = 0.
-1, 1, 24
Suppose -1410*r = -1407*r - 6. Let 0 - 2/3*v**4 + r*v**3 - 8/3*v + 0*v**2 = 0. Calculate v.
-1, 0, 2
Let q(o) be the second derivative of -o**7/72 - 5*o**6/18 + o**5/2 + o**4/3 - 5*o**2/2 + 2*o - 39. Let a(v) be the third derivative of q(v). Factor a(b).
-5*(b + 6)*(7*b - 2)
Let y = -3685/3 + 1231. Let t(f) be the first derivative of 0*f**2 + f**4 + y*f**3 + 0*f - 12. Determine b so that t(b) = 0.
-2, 0
Let f be 2409/(-9) + (-3 - (0 + 2)). Let q = f + 282. Solve 14/3*t - q*t**3 - 8/3*t**2 + 4/3 + 4/3*t**4 + 14/3*t**5 = 0 for t.
-1, -2/7, 1
Determine k so that -553223 - 4*k**2 - 1331*k - 490948 + 6635*k - 453741 - 260364 = 0.
663
Let x be (16 + 935/(-30) + 16)/(55/5324). Factor x - 1/3*m**3 + 8*m**2 - 55*m.
-(m - 11)**2*(m - 2)/3
Let s be ((-6)/28)/((-161)/49 + 2). Let t(v) be the second derivative of 1/30*v**6 + s*v**3 + 0*v**2 + 0 + 3/20*v**5 + 1/4*v**4 - 13*v. Factor t(p).
p*(p + 1)**3
Let z(q) = q**3 - q**2 - 2*q. Let u(c) = -19*c**2 + 22*c - 6*c**3 - 97*c + 54 + 21*c**2 + 31*c**2. Let k(n) = -u(n) - 3*z(n). Factor k(m).
3*(m - 6)*(m - 3)*(m - 1)
Let x(r) be the second derivative of 2*r**7/63 - 4*r**6/27 + r**5/5 - 2*r**4/27 - r + 241. Solve x(i) = 0 for i.
0, 1/3, 1, 2
Suppose -167*a + 52 = -154*a. Let p(y) = -9*y**3 - 41*y**2 - 96*y - 74. Let w(o) = -8*o**3 - 40*o**2 - 96*o - 72. Let r(u) = a*p(u) - 5*w(u). Factor r(s).
4*(s + 1)*(s + 4)**2
Let v(i) be the third derivative of -i**7/70 + 31*i**6/40 + 27*i**5/2 - 4131*i**4/2 + 67068*i**3 - 48*i**2 - 65*i. Factor v(g).
-3*(g - 18)**3*(g + 23)
Let p(d) be the second derivative of -d**6/30 - d**5/2 + d**4/4 + 14*d**3/3 - 10*d**2 + 6*d - 7. Factor p(y).
-(y - 1)**2*(y + 2)*(y + 10)
Let z = 1/2726 + 5441/29986. Let -z*a**2 - 10/11*a + 4/11*a**3 - 4/11 = 0. What is a?
-1, -1/2, 2
Determine k so that 2712/5 - 4/5*k**2 + 2708/5*k = 0.
-1, 678
Let i = 96 + -82. Let f = i + -53/4. Factor -9/4*x - f*x**2 + 3.
-3*(x - 1)*(x + 4)/4
Let t be (6/(-7))/((-6)/14*(-20)/(-30)). Let r(v) be the first derivative of 0*v**2 + 7 - 1/10*v**4 + 0*v + 2/3*v**t. Solve r(x) = 0.
0, 5
Let i be (-11 - 0 - -6) + 7. Suppose -i = -8*h + 22. Factor 2/3*a**4 - 32/3*a**h + 512/3 - 512/3*a + 64*a**2.
2*(a - 4)**4/3
Let u = 51 + -47. Determine o so that -20*o**4 - 68*o**3 - 22*o**2 + 640*o + 115*o**2 + 400 + u*o**5 + 103*o**2 = 0.
-2, -1, 5
Suppose 7*u - 12 = -2*y, -54*u + 5*y = -55*u - 3. Let x(o) be the first derivative of 0*o + 0*o**2 + u + 1/2*o**4 + 1/15*o**5 + 5/9*o**3. Factor x(c).
c**2*(c + 1)*(c + 5)/3
Factor 0*h**3 + 5739*h + 4*h**3 - 706*h**2 - 693 - 6*h**3 - 4321*h - 17.
-2*(h - 1)**2*(h + 355)
Let n(x) be the second derivative of -176*x - 5/18*x**3 - 1/3*x**2 + 1/9*x**4 + 1/20*x**5 + 0. Suppose n(m) = 0. What is m?
-2, -1/3, 1
Let p(i) be the second derivative of 0 - 1/33*i**3 - 68*i - 4/11*i**2 + 1/132*i**4. What is k in p(k) = 0?
-2, 4
Let s(u) be the third derivative of -u**7/840 - 79*u**6/480 - 187*u**5/60 + 53*u**2 + 3*u - 8. Solve s(l) = 0.
-68, -11, 0
Let z = 12164517/11 - 1105863. Factor -z - 2/11*a**2 - 16/11*a.
-2*(a + 2)*(a + 6)/11
Let c(u) be the second derivative of -u**6/105 - 13*u**5/70 + 17*u**4/21 + 52*u**3/21 - 120*u**2/7 + 1658*u. Find i, given that c(i) = 0.
-15, -2, 2
Let d(y) = -y**2 + 131*y + 122. Let i(a) = -5. Let u(l) = 5*d(l) - 10*i(l). What is w in u(w) = 0?
-1, 132
Let c(z) be the first derivative of z**4/6 + z**3/3 - 2*z**2 - 13*z - 61. Let v(f) be the first derivative of c(f). Factor v(l).
2*(l - 1)*(l + 2)
Let a(w) be the third derivative of -w**7/120 + w**6/360 + 73*w**4/24 + 4*w**2 - 4*w. Let z(c) be the second derivative of a(c). Find p such that z(p) = 0.
0, 2/21
Let j(d) be the first derivative of d**4/8 + 4*d**3/3 + 9*d**2/4 - 9*d - 1631. Solve j(x) = 0 for x.
-6, -3, 1
Let s(o) be the third derivative of o**7/630 - o**6/360 - 11*o**5/60 - 59*o**4/72 - 14*o**3/9 - 465*o**2 - 1. Factor s(q).
(q - 7)*(q + 1)**2*(q + 4)/3
Let d be (-1 - 9/(-2))*(-84)/(-147). Let q(g) be the second derivative of 14*g - 5/12*g**4 - 15/2*g**d - 10/3*g**3 + 0. Factor q(j).
-5*(j + 1)*(j + 3)
Let q(m) = m**2 - 6*m - 3. Let p be q(-5). Factor 145*d - 110*d**2 + 15*d**3 + 157 + 59 - p + 16 - 30.
5*(d - 5)*(d - 3)*(3*d + 2)
Let r(j) = -2*j**5 + 3*j**2 + j - 1. Let u(g) = -33*g**5 + 165*g**4 + 471*g**3 + 201*g**2 - 456*g - 330. Let h(s) = 18*r(s) - u(s). Find z, given that h(z) = 0.
-52, -2, -1, 1
Let x = 1/24913 + 49803/572999. Let c = -20096/23 + 874. Factor 2/23*l + c*l**3 + x*l**4 + 0 + 6/23*l**2.
2*l*(l + 1)**3/23
Let b(k) = -2*k**2 - 21*k + 14. Let v be b(-11). Solve -12*w - 2*w**3 + 12*w + w**v - 4*w**2 = 0.
-4, 0
Let 3421 + 12*j**3 + 4346 + 3621 - 17068*j**2 + 5680*j + 1787 - 1799 = 0. What is j?
-2/3, 1, 1422
Suppose 3*c - 50 + 376 = j, 4*c + 428 = 3*j. Let z = -108 - c. Factor -22*n + 14*n + 0 + 8 + 4*n**3 - 11*n**2 + 5*n**z + 2*n**4.
2*(n - 1)**2*(n + 2)**2
Factor -179/4*a - 3 + 15/4*a**2.
(a - 12)*(15*a + 1)/4
Let i(r) be the third derivative of r**7/420 + r**6/90 + r**5/60 - 73*r**3/6 - 262*r**2. Let w(u) be the first derivative of i(u). Determine f so that w(f) = 0.
-1, 0
Find p such that -14*p**2 - 112 + 36*p**2 - 16*p**2 + 819*p - 299 = 0.
-137, 1/2
Let a(l) be the third derivative of -l**8/392 + 39*l**7/245 - 124*l**6/35 + 1158*l**5/35 - 160*l**4 + 3072*l**3/7 + 6*l**2 - 10*l. Find s such that a(s) = 0.
2, 3, 16
Let q be (27/6)/((-20)/(-12 - (-4)/1)). Let b(v) be the first derivative of 3/4*v**4 + q*v**5 - 3/2*v**2 - 3*v**3 + 0*v - 13. Factor b(f).
3*f*(f - 1)*(f + 1)*(3*f + 1)
Let x(f) be the third derivative of -f**7/2520 - 3*f**6/80 - 5*f**5/12 - 13*f**4/12 + 100*f**2. Let i(s) be the second derivative of x(s). Factor i(r).
-(r + 2)*(r + 25)
Suppose 0 = 14*f - 81 + 11. Let z(t) = -17*t**2 + 19*t + 36. Let g = -6 + -2. Let u(s) = -11*s**2 + 13*s + 24. Let v(o) = f*z(o) + g*u(o). Factor v(i).
3*(i 