16 - -9 - -11). Let w(r) be the first derivative of 4 + 5/3*r**3 - 5*r + 5/2*r**2 - i*r**4. Factor w(x).
-5*(x - 1)**2*(x + 1)
Let l(s) be the second derivative of -4/57*s**3 - 1/190*s**5 + 89*s + 0*s**2 + 0 + 2/57*s**4. Factor l(b).
-2*b*(b - 2)**2/19
Let j(u) be the second derivative of 2*u**6/195 + 31*u**5/130 - 19*u**4/39 - 1441*u**3/39 + 726*u**2/13 - 198*u - 6. Solve j(z) = 0.
-11, 1/2, 6
Determine a, given that -104/5*a**4 - 203/5 + 1423/10*a + 512/5*a**3 + 1/10*a**5 - 917/5*a**2 = 0.
1, 2, 203
Let h be 123/15 + (-1)/(-2)*(-5940)/1350. Determine j so that h*j**3 + 162/5*j - 3/5*j**4 - 81/5 - 108/5*j**2 = 0.
1, 3
Let i(k) be the second derivative of k**6/630 - k**5/14 + 13*k**4/21 + 79*k**3/3 - 74*k. Let s(h) be the second derivative of i(h). Suppose s(v) = 0. What is v?
2, 13
Let a(x) = x**2 - 327*x - 14115. Let b(d) = 330*d + 14114. Let o(n) = -2*a(n) - 3*b(n). Suppose o(q) = 0. What is q?
-84
Let p be (-77)/(-847) + (-838)/(-220) - 4/(-8). Find t, given that 2/5*t**3 - 42/5*t + 18/5*t**2 + p = 0.
-11, 1
Let h(i) be the second derivative of -i**4/84 - 31*i**3/42 - 92*i**2/7 - 20*i - 26. Factor h(v).
-(v + 8)*(v + 23)/7
Suppose 0 = -5*l + 40 + 30. Let w be (-63)/l + (2 - -3). What is b in 2 - 5/2*b**2 - w*b = 0?
-1, 4/5
Let k(l) = -21*l**3 + 195*l**2 - 348*l + 50. Let u be 9 + -2 + -4 + 4 + -1. Let w(d) = 7*d**3 - 65*d**2 + 116*d - 16. Let t(f) = u*k(f) + 17*w(f). Factor t(a).
-(a - 7)*(a - 2)*(7*a - 2)
Let m(k) be the second derivative of -k**6/10 + 31*k**5/20 - 17*k**4/3 - 10*k**3 + 245*k + 5. Determine o, given that m(o) = 0.
-2/3, 0, 5, 6
Let d(a) be the third derivative of a**7/105 + 3*a**6/20 - 21*a**5/10 + 95*a**4/12 - 14*a**3 - 33*a**2. Factor d(s).
2*(s - 3)*(s - 1)**2*(s + 14)
Let w be (-10)/65 - 41/(-13). Suppose -12 = -9*z + w*z. Factor -4*n - 29*n + 83 - 7*n + 4*n**z + 17.
4*(n - 5)**2
Let g(j) be the third derivative of 0*j**5 + 0*j**3 + 1/105*j**6 + 0 + 0*j + 0*j**4 + 1/1176*j**8 - 53*j**2 - 4/735*j**7. Let g(m) = 0. Calculate m.
0, 2
Let s(i) be the third derivative of -i**2 + 1/210*i**7 - 1/12*i**4 + 45*i + 0 + 1/60*i**6 + 1/2*i**3 - 1/15*i**5. Let s(h) = 0. What is h?
-3, -1, 1
Let t(h) be the third derivative of -11*h**7/42 + 5*h**6/6 + 49*h**5/4 + 85*h**4/3 + 50*h**3/3 + 14*h**2 - 4. Find z such that t(z) = 0.
-2, -1, -2/11, 5
Suppose -451250/7 - 900600/7*u + 1896/7*u**3 - 447452/7*u**2 - 2/7*u**4 = 0. Calculate u.
-1, 475
Find z, given that -28*z**4 + 83*z**3 + 4694 - 279*z + 379*z**2 + 4748 - 8*z**3 - 9397 = 0.
-3, 1/4, 3/7, 5
Suppose 6 = -7*v + 5*v + 5*f, -14 = -4*v - 3*f. Let j be 783/1914*(-4)/(-3). Factor -j*c**v + 6/11 + 2/11*c**3 - 2/11*c.
2*(c - 3)*(c - 1)*(c + 1)/11
Let g(a) be the second derivative of -a**5/50 - 31*a**4/30 - 44*a**3/3 + 252*a**2/5 - 170*a. Factor g(k).
-2*(k - 1)*(k + 14)*(k + 18)/5
Let l(n) be the first derivative of -3*n**5/25 + 381*n**4/20 + 388*n**3/5 + 78*n**2 + 60. Determine g, given that l(g) = 0.
-2, -1, 0, 130
Let h = -3581 + 32231/9. Let f(v) be the second derivative of -1/18*v**4 + h*v**3 + 0 - 15*v + 0*v**2. Find a such that f(a) = 0.
0, 2
Let f be 928/60 + -11*(-56)/(-770). Let -f*w + 14/3 + 2/3*w**4 + 16*w**2 - 20/3*w**3 = 0. What is w?
1, 7
Factor -64682*y + 64557*y - 76*y**2 + 0*y**3 + 5*y**3 - 44*y**2.
5*y*(y - 25)*(y + 1)
Let v be 1*(-1)/21 - (-11051495)/55615. Suppose 1460*d + v*d**2 - 300 + 20/3*d**3 = 0. What is d?
-15, 1/5
Let y be (-6)/(-8) - (3498/(-24))/11. Suppose -24*n - y = -62. Factor 1/9*r - 2/9*r**3 + 0 + 0*r**4 + 1/9*r**5 + 0*r**n.
r*(r - 1)**2*(r + 1)**2/9
Let n(m) = 2*m**2 + 47*m + 212. Let h be n(-6). Let s(u) be the first derivative of 13 + 0*u + 1/6*u**4 + 2/3*u**h - 2/3*u**3. Factor s(o).
2*o*(o - 2)*(o - 1)/3
Let w(q) be the first derivative of -q**6/72 - 3*q**5/8 - 15*q**4/4 - 117*q**3 + 227. Let a(n) be the third derivative of w(n). Factor a(i).
-5*(i + 3)*(i + 6)
Let x = 53 - 51. Suppose 3*i - 168 = -5*z - 49, 2*z = x. Find w, given that 8*w**2 - 116*w + 112*w - i*w**2 - 26*w**3 = 0.
-1, -2/13, 0
Let u(r) be the first derivative of r**4/4 + 3*r**3 + 7*r**2 - 384. Factor u(m).
m*(m + 2)*(m + 7)
Suppose -168*j**4 + 156*j**3 + 889*j**3 + 107*j**3 - 1936*j**2 + 4*j**5 + 15760*j**2 = 0. Calculate j.
-6, 0, 24
Let c(z) be the second derivative of 135*z + 2/3*z**3 + 1/18*z**4 + 0 + 0*z**2. Suppose c(f) = 0. What is f?
-6, 0
Let 160178/15 - 1132/15*i + 2/15*i**2 = 0. What is i?
283
Let q = -1431 + 1432. Let k be (q/5)/((-32)/(-80)). Let 0*z + z**3 + 1/2*z**4 + 0 + k*z**2 = 0. Calculate z.
-1, 0
Solve 523*v**2 - 6792*v**3 - 1065*v**3 + 4*v + 34596*v**4 + 225*v**2 + 43197*v**3 = 0 for v.
-1, -1/93, 0
Let n = -69 + 48. Let g = n + 23. Factor w + 0*w - w**3 + 2*w**g + 0*w**2 - 2*w.
-w*(w - 1)**2
Let a = -9553511/7 + 1364789. Find c such that -a*c + 0 + 9*c**3 + 120/7*c**2 = 0.
-2, 0, 2/21
Let r be 2/7 - (-568)/(-28). Let t be (-7)/35 - 224/r. Factor 7*i**2 - t*i**2 + i**2 - 3*i**3.
-3*i**2*(i + 1)
Let x = -69/3037 + 182979/33407. Factor x*s + 450/11 + 2/11*s**2.
2*(s + 15)**2/11
Let y(l) be the first derivative of -l**5/36 + 5*l**4/36 + 5*l**3/6 - 2*l**2 + 46*l - 161. Let a(b) be the second derivative of y(b). Solve a(t) = 0 for t.
-1, 3
Factor -213 + 994*w + 72 - 379 + 344*w - 92 - 26*w**2.
-2*(w - 51)*(13*w - 6)
Let x(t) be the first derivative of t**4 - 28*t**3 + 46*t**2 + 1140*t + 355. Solve x(n) = 0.
-3, 5, 19
Let r(c) be the second derivative of 1/54*c**4 + 2/3*c**2 + 0 + 68*c - 5/27*c**3. Let r(m) = 0. Calculate m.
2, 3
Let o(q) be the first derivative of q**4/6 + 37*q**3/3 - 38*q**2 + 44*q + 266. Let b(v) be the first derivative of o(v). Factor b(u).
2*(u - 1)*(u + 38)
Let x(k) be the first derivative of k**3/9 + k**2/3 + k/3 + 775. Solve x(h) = 0 for h.
-1
Suppose -95*w + 286 = -82*w. Let b = 50 + -32. Factor -w*x**2 + 24 - 6*x**4 + b*x - 27 + 36*x**3 - 6*x**4 - 17*x**2.
-3*(x - 1)**2*(2*x - 1)**2
Let u be (-9 - (-3 + 6))/(-2). Find g such that u*g + 3 - 4*g**2 - 71656*g**3 + 71654*g**3 - 3 = 0.
-3, 0, 1
Let q(t) = 5*t**2 + 37*t + 412. Let r(f) = 27*f**2 + 183*f + 2057. Let m(o) = -11*q(o) + 2*r(o). Suppose m(b) = 0. Calculate b.
-22, -19
Let f(j) be the third derivative of j**6/24 + 25*j**5/12 - 125*j**2 + 2. Find y such that f(y) = 0.
-25, 0
Suppose -112*v = -939*v + 10096 - 172. Determine f, given that 8*f**2 - 4*f - 4/3 - 28*f**4 + v*f**5 + 40/3*f**3 = 0.
-1/3, 1
Let u = 747075/8 + -93384. Factor -1/8*s**2 + 5/4 - u*s.
-(s - 2)*(s + 5)/8
Let z be (-56)/12 - (-2 + 12/9). Let t be (-23 + 15)*10/z. Factor -2 + 10*v**2 + 3*v**3 + 0*v**3 - t*v**2 - 4*v + 13*v.
(v - 2)*(v - 1)*(3*v - 1)
Suppose 0 = 40*u - 37*u + q + 5, -31 = u + 3*q. Determine b so that 2/13*b**3 - 2/13*b**4 - 2/13*b**5 + 0*b + 2/13*b**u + 0 = 0.
-1, 0, 1
Let t be ((-327)/30 + 11)/1*5. Let q(j) be the first derivative of 3*j**2 - j**3 - 9/4*j**4 + t*j**6 + 3/5*j**5 - 28 + 0*j. Suppose q(x) = 0. What is x?
-2, -1, 0, 1
Let c(v) be the first derivative of -v**6/6 - 4*v**5/5 + 35*v**4/4 + 86*v**3/3 - 62*v**2 - 280*v + 598. What is m in c(m) = 0?
-7, -2, 2, 5
Let r(w) = -w**2 - 15*w - 7. Let g be r(-14). Let y be (-41 - -39) + 26/g. Factor y*u + 8/7 + 4/7*u**2.
4*(u + 1)*(u + 2)/7
Let 15444*n**2 + 88 + 15450*n**2 - 30890*n**2 + 52*n = 0. What is n?
-11, -2
Solve 2*s**4 - 52/11*s**3 + 0 + 16/11*s**2 + 0*s = 0.
0, 4/11, 2
Suppose 437*b - 5496 = -3*b - 2308*b. Factor 2/3*w**3 + 0 + b*w**2 + 4/3*w.
2*w*(w + 1)*(w + 2)/3
Let n(j) be the third derivative of -j**5/90 - 31*j**4/36 + 40*j**3 - 1757*j**2. What is f in n(f) = 0?
-40, 9
Let j(k) be the second derivative of -4*k**4/3 - 266*k**3/3 - 66*k**2 + 970*k. Factor j(o).
-4*(o + 33)*(4*o + 1)
Let h be ((-50)/(10 - 8))/((189/28)/(-9)). Determine k, given that h + 8*k**2 - 30*k - 2/3*k**3 = 0.
2, 5
Suppose 99*f - 510528 + 510330 = 0. Factor 0*s**f + 0 - 3/4*s**4 - 3*s + 9/4*s**3.
-3*s*(s - 2)**2*(s + 1)/4
Let g(k) be the second derivative of -k**6/40 + k**5/20 + k**4/8 - k**3/2 + 9*k**2/2 - 37*k. Let x(q) be the first derivative of g(q). Factor x(o).
-3*(o - 1)**2*(o + 1)
Let z(r) = 39*r**3 + 34*r**2 + 135*r + 115. Let s(x) = 23*x**3 + 16*x**2 + 67*x + 59. Let o(f) = 5*s(f) - 3*z(f). Solve o(k) = 0 for k.
-5, -1
Let m(l) be the third derivative of -7/20*l**4 + 1 - 72*l**2 - 33/100*l**5 + 1/560*l**8 + 0*l**3 + 0*l - 23/200*l**6 - 3/350*l**7. Fi