etermine g so that y(g) = 0.
-100, 2
Let u(z) be the third derivative of -z**7/50 + 323*z**6/100 - 177*z**5/100 - 323*z**4/20 + 92*z**3/5 + 2176*z**2. What is x in u(x) = 0?
-1, 2/7, 1, 92
Let a be ((2 - (-442)/(-255))*(-3)/1)/((-9)/15). Factor -19/9*o**2 + a + 112/9*o.
-(o - 6)*(19*o + 2)/9
Let u(o) be the second derivative of -o**4/42 - 394*o**3/21 + 395*o**2/7 - o - 525. Find w, given that u(w) = 0.
-395, 1
Suppose 45 - 33/2*g**4 + 123/2*g**2 - 3*g**5 - 219/2*g + 45/2*g**3 = 0. What is g?
-6, -5/2, 1
Let o(b) be the third derivative of b**7/12600 + b**6/1800 + 11*b**4/4 - 27*b**2. Let q(z) be the second derivative of o(z). Determine j, given that q(j) = 0.
-2, 0
Let v(b) = 14*b**3 + 88*b**2 + 489*b - 5. Let j be ((-120)/(-32))/15 - 27/12. Let t(m) = -6*m**3 - 44*m**2 - 244*m + 2. Let q(h) = j*v(h) - 5*t(h). Factor q(a).
2*a*(a + 11)**2
Let i(b) be the third derivative of b**5/60 - b**3/3 - 5*b**2. Let u(h) be the first derivative of -h - 7. Let g(r) = i(r) - u(r). Factor g(l).
(l - 1)*(l + 1)
Suppose 361*v = 158*v + 89 + 317. Factor -8*p**3 - 22/3*p**4 + 0 + 0*p + 0*p**v + 2/3*p**5.
2*p**3*(p - 12)*(p + 1)/3
Let l = -3243 - -3243. Let x(s) be the first derivative of -5/3*s**3 + 35/4*s**2 + l*s + 15. Determine k so that x(k) = 0.
0, 7/2
Let a be ((3864/(-49))/(-24) - 2/7) + -1. Determine y so that -y**3 + 0*y**a + 0 + 0*y - 3/4*y**4 + 1/4*y**5 = 0.
-1, 0, 4
Let t(o) be the third derivative of 5*o**5/4 + 65*o**4/24 - 5*o**3/3 + o**2 + 638. Solve t(i) = 0 for i.
-1, 2/15
Let v(a) = 2612*a - 2612. Let j be v(1). Factor 0*y - 1/6*y**2 - 1/6*y**3 + j.
-y**2*(y + 1)/6
Let d(t) = 5*t**3 - 11*t**2 - 25*t - 6. Let m(s) = 8*s**3 - 22*s**2 - 48*s - 13. Let a be (-2 - (-8 + -4))/((-2)/1). Let b(v) = a*d(v) + 3*m(v). Factor b(n).
-(n + 1)**2*(n + 9)
Let m(s) be the first derivative of -96 + 192*s**2 - 64*s + 123/2*s**4 + 3/4*s**6 - 11*s**5 - 484/3*s**3. Solve m(t) = 0.
2/9, 2, 4
Let m = 1043405 + -1043405. Suppose 3/5*k**3 + m + 0*k + 33/5*k**2 = 0. What is k?
-11, 0
Let 14/9*z**3 - 4/3*z**4 - 8*z + 8*z**2 - 2/9*z**5 + 0 = 0. What is z?
-6, -3, 0, 1, 2
Let p(m) = 26*m**3 + 6059*m**2 + 223*m - 2326. Let v be p(-233). Solve 2*g - 1/4*g**2 - v = 0 for g.
4
Let i(o) = -o**3 - 22*o**2 - 39*o + 23. Let r be i(-20). Suppose 9*q**4 - q**4 + 4*q**3 + q**5 + r*q**5 = 0. What is q?
-1, 0
Let r(s) be the second derivative of -11/72*s**4 - 1/18*s**3 + 0*s**2 - 96*s - 1/10*s**5 + 0. Factor r(d).
-d*(3*d + 2)*(4*d + 1)/6
Let g(x) be the second derivative of -1/90*x**6 + 0*x**2 - 1/9*x**3 + 1/30*x**5 + 17 + x + 1/36*x**4. Determine c, given that g(c) = 0.
-1, 0, 1, 2
Let z(d) be the first derivative of 25/2*d + 1/24*d**6 - 5/8*d**4 + 13/3*d**3 - 3/10*d**5 + 95 + 105/8*d**2. Determine c, given that z(c) = 0.
-2, -1, 5
Let t(f) be the third derivative of -f**5/240 + 3*f**4/32 + 11*f**3/12 + 74*f**2 + 3*f. Factor t(l).
-(l - 11)*(l + 2)/4
Factor -2303*f + 4899/2*f**2 - 4802 - 197/4*f**3 + 1/4*f**4.
(f - 98)**2*(f - 2)*(f + 1)/4
Let z(p) be the first derivative of p**8/8400 - p**6/600 + p**5/300 - 26*p**3 - 46. Let k(o) be the third derivative of z(o). Solve k(t) = 0 for t.
-2, 0, 1
Let f(d) = 3*d**2 - 12*d + 6. Let k(p) = -6*p**2 + 25*p - 12. Let u be ((-54)/(-12))/(-9)*-1*6. Let y(r) = u*k(r) + 7*f(r). Factor y(b).
3*(b - 2)*(b - 1)
Let n(t) = 23*t**2 + 4544*t - 9316. Let i(l) = -38*l**2 - 9089*l + 18636. Let s(p) = 4*i(p) + 9*n(p). Factor s(b).
5*(b - 2)*(11*b + 930)
Let l(c) = 5*c**2 - 50*c + 130. Let p(a) = -a**2 - 29*a - 5. Let s be p(-29). Let t(n) = -1. Let r(v) = s*t(v) - l(v). Find q such that r(q) = 0.
5
What is y in 2400*y + 818/3*y**3 - 1360*y**2 + 0 - 68/3*y**4 + 2/3*y**5 = 0?
0, 5, 12
Let v = 9804419/21 - 466877. Factor -v + 8/21*u - 2/7*u**2.
-2*(u - 1)*(3*u - 1)/21
Suppose z = 4*r - 8944, 14*z - 11*z = 3*r - 6717. Factor -2239*y**2 - r*y**2 + 24*y + 108 + 4470*y**2.
-4*(y - 9)*(y + 3)
Let p be (105/(-20))/(-3) + (-1287)/858. Factor -p*z**2 - 7/2 - 9/4*z.
-(z + 2)*(z + 7)/4
Let n(k) be the first derivative of 38*k**5/15 + 29*k**4 + 586*k**3/9 + 14*k**2 + 846. What is b in n(b) = 0?
-7, -2, -3/19, 0
Let t = 619 - 615. Let j(h) = 2*h**3 - 7*h**2 - 6*h + 10. Let x be j(t). Factor -1/2*z + 1 + 1/2*z**4 - 3/2*z**x + 1/2*z**3.
(z - 1)**2*(z + 1)*(z + 2)/2
Let l be 1/(-2)*0/8. Factor 0*c + 22/17*c**3 - 12/17*c**2 + l.
2*c**2*(11*c - 6)/17
Find f such that -f**4 - 38*f**3 + 14*f - 104*f + 80 - 70*f + 6*f**4 - 2*f**3 + 120*f**2 = 0.
2
Let r(q) be the third derivative of -q**6/300 + 154*q**5/75 - 5929*q**4/15 - 1068*q**2. Factor r(f).
-2*f*(f - 154)**2/5
Let w(c) be the third derivative of c**6/720 - c**5/48 + c**4/8 - c**3/3 + c**2 + 5. Let q(x) be the first derivative of w(x). Determine j, given that q(j) = 0.
2, 3
Let p(i) be the third derivative of -i**5/12 + 815*i**4/4 - 398535*i**3/2 + 2327*i**2. Factor p(u).
-5*(u - 489)**2
Let s be (-12 + 10)*(-18)/12. Suppose -19*i = -s*i - 80. What is q in 6/7*q - 8/7*q**2 - 1/7 - 4/7*q**i - 2/7*q**3 + 9/7*q**4 = 0?
-1, 1/4, 1
Factor 26/5*i**3 + 0*i - 28/5*i**2 + 0 - 1/10*i**5 - i**4.
-i**2*(i - 2)**2*(i + 14)/10
Factor -2370*g**2 + 85*g**3 - 177*g**3 + 97*g**3 + 374460*g - 19721560.
5*(g - 158)**3
Let k(d) be the first derivative of -3*d**5/20 - 3*d**4/16 + 7*d**3/4 + 3*d**2/8 - 9*d/2 + 461. Find c such that k(c) = 0.
-3, -1, 1, 2
Let g(b) = 75*b**2 - 6*b - 17. Let d be g(-2). Let q = d - 869/3. Factor -6*r + 2/3*r**2 + q.
2*(r - 8)*(r - 1)/3
Let o = 113 + -109. Suppose o*u - 380 = -0*u. Find y such that 191*y - u*y - 86*y + 2*y**2 = 0.
-5, 0
Solve -12769/3 - 226/3*r - 1/3*r**2 = 0.
-113
Let m(z) be the third derivative of 1/540*z**6 + 0*z + 12*z**2 - 1/36*z**4 + 0 + 11/6*z**3 + 0*z**5. Let w(a) be the first derivative of m(a). Solve w(j) = 0.
-1, 1
Let -64*q**2 + 0*q + 4*q**3 + 1/2*q**4 + 0 = 0. Calculate q.
-16, 0, 8
Let a(z) be the third derivative of -19/9*z**3 - 1 + 25/24*z**4 - 1/5*z**5 + 0*z + 227*z**2 - 1/360*z**6. Factor a(y).
-(y - 1)**2*(y + 38)/3
Suppose 282*j = 110*j. Let d(t) be the third derivative of 0*t + 23*t**2 + 1/336*t**8 + j*t**4 + 0*t**3 + 1/10*t**5 + 13/120*t**6 + 4/105*t**7 + 0. Factor d(q).
q**2*(q + 1)**2*(q + 6)
Let l(f) = 2*f**2 - 4812*f - 62892. Let z be l(-13). Factor 3/8*q**4 + 0 + 27/2*q + 15/4*q**3 + 99/8*q**z.
3*q*(q + 3)**2*(q + 4)/8
Let b(i) be the second derivative of -1/5*i**5 + 0 + 0*i**2 + 0*i**4 + 14*i + 0*i**3. What is s in b(s) = 0?
0
Let y be -15*1/(-3) - (-4 + 6). Let o be (-2)/y*114/(-133). Factor -8/7 - 12/7*v - o*v**2.
-4*(v + 1)*(v + 2)/7
Let u(j) be the first derivative of -j**3 + 210*j**2 - 417*j - 596. Factor u(s).
-3*(s - 139)*(s - 1)
Let f = -58509 + 760633/13. Factor f*w - 2/13*w**3 + 0 + 4/13*w**2.
-2*w*(w - 4)*(w + 2)/13
Let g(x) be the second derivative of -1/21*x**3 + 0*x**2 - 2 - 4*x + 2/105*x**6 + 1/147*x**7 - 1/21*x**4 + 0*x**5. Determine r, given that g(r) = 0.
-1, 0, 1
Let v = 331 - 335. Let i be 2/(-15 - 5)*5/v. Factor 1/8*h**5 - i*h**3 + 1/8*h**4 + 0 + 0*h - 1/8*h**2.
h**2*(h - 1)*(h + 1)**2/8
What is v in -8*v - 56*v**3 - 44*v**2 - 92*v**2 - 148*v**2 - 62*v - 26*v + 4*v**4 + 432 = 0?
-3, -2, 1, 18
Let q be (-26)/(-24) - 1/3. Let c = 18008 + -72023/4. Let -3/2 + 3/4*d**3 - q*d + c*d**2 - 3/4*d**4 = 0. What is d?
-1, 1, 2
Let r(s) be the third derivative of s**7/105 + 149*s**6/240 - 607*s**5/120 + 331*s**4/48 + 41*s**3/4 - 17*s**2 + 81*s. Suppose r(y) = 0. Calculate y.
-41, -1/4, 1, 3
Let t be (-6)/201 + 43680/26800. Solve t*x**2 - 8/5*x**3 + 0*x + 0 + 2/5*x**4 = 0.
0, 2
Let u(n) = -5*n**2 - 24*n + 7. Let t be u(-5). Factor -17*k**2 + 20*k + 50 - 10*k**t + 42*k**2 - 13*k**2.
2*(k + 5)**2
Let v(h) be the second derivative of h**5/10 - 395*h**4/6 + 12529*h**3 + 282807*h**2 - 5104*h. Let v(q) = 0. What is q?
-7, 201
Let o(d) be the third derivative of -2645/6*d**3 - 115/12*d**4 + 0 - 1/12*d**5 + 30*d**2 + 0*d. Solve o(i) = 0 for i.
-23
Suppose 0 = 4*o + 8, 78*h - 75*h - 36 = -3*o. Suppose -v + h = 3*i, 0 = 4*i - 3*v - 86 + 76. Solve -2/5*w + 1/2*w**3 + 1/10*w**i - 4/5 + 3/5*w**2 = 0.
-2, 1
Let f(y) be the third derivative of -y**8/224 - 3*y**7/28 - 71*y**6/80 - 13*y**5/8 + 75*y**4/4 + 125*y**3 + 38*y**2 + y - 6. Determine a, given that f(a) = 0.
-5, -2, 2
Let y = -19 - -21. Suppose 2*s = 5*s. Solve -5*v**2 - 8 + 3*v**y - 8*v + s*v + 0*v = 0 for v.
-2
Let l(