ermine a so that 47*a**2 - 26*a - 9*a + 25 - 20*a - 12*a**2 - 5*a**i = 0.
1, 5
Let s(u) = u**2 - 22*u + 72. Let b be s(4). Let l be ((-25)/(-45) + b)/(1/3). Factor 50/3 + 35/3*i + l*i**2.
5*(i + 2)*(i + 5)/3
Let k(x) be the first derivative of x**3/2 - 1755*x**2 + 2053350*x - 3099. Factor k(l).
3*(l - 1170)**2/2
Let r(g) be the second derivative of g**4/15 + 904*g**3/5 + 919368*g**2/5 + g - 161. Find b such that r(b) = 0.
-678
Let p = -273 + 275. Factor -4*b + 2544*b**2 + 2*b**4 - 2544*b**2 + 4*b**3 - p.
2*(b - 1)*(b + 1)**3
Let t be (-58998)/1440 + 22 + 19. Let w(y) be the third derivative of 0 + 1/8*y**3 - t*y**5 + 1/48*y**4 + 0*y + 1/240*y**6 - 37*y**2. What is j in w(j) = 0?
-1/2, 1, 3
Let u(h) be the first derivative of -3*h**5/10 + 165*h**4/8 - 104*h**3 + 153*h**2 - 39. Determine z, given that u(z) = 0.
0, 2, 51
Let m(t) = -4*t**2 - 7*t + 9. Let c(w) be the third derivative of w**5/60 + w**4/12 + w**3/6 + 52*w**2. Let o(z) = -6*c(z) - 2*m(z). Factor o(j).
2*(j - 3)*(j + 4)
Let c(a) = 2*a**2 - a**2 - 2 - 4 + 10*a. Suppose 0 = -9*h - 9*h + 72. Let k(u) = u**2 + 9*u - 6. Let g(x) = h*c(x) - 5*k(x). Find d, given that g(d) = 0.
-6, 1
Let t = -53 - -242. Suppose -4 = h, h - 40 = 5*c - t. Factor -26 - 36*p - 16*p**2 + 4*p**3 - c + 37 + 2*p**4.
2*(p - 3)*(p + 1)**2*(p + 3)
Factor 27*l - 2*l**2 + 15 - 177 + 4*l**2 + 9*l - 14.
2*(l - 4)*(l + 22)
Let k be ((-8)/5 - -2)*(-40)/(-8). Find u such that -23*u + 114*u**2 + 2*u - 5*u**4 - 29*u + 20*u**3 - 79*u**k = 0.
-2, 0, 1, 5
Let y(h) be the first derivative of 5/2*h**2 + 0*h**3 - 12 - 1/180*h**5 + 0*h**4 + 0*h - 1/90*h**6. Let a(z) be the second derivative of y(z). Factor a(v).
-v**2*(4*v + 1)/3
Let p(t) be the third derivative of -t**6/360 - 7*t**5/90 - 25*t**4/72 - 2*t**3/3 - 88*t**2 + 4*t. Let p(r) = 0. Calculate r.
-12, -1
Let n = 108/223 - -791/669. Let k(a) be the second derivative of -1/18*a**4 - n*a**2 + 2/3*a**3 - 19*a + 0. Suppose k(h) = 0. Calculate h.
1, 5
Let g(q) be the third derivative of -2*q**7/315 - q**6/5 + 4*q**5/9 + q**4 - 38*q**3/9 - 93*q**2 - 1. Find l, given that g(l) = 0.
-19, -1, 1
Let 0*o + 0 - 12*o**2 - 182/15*o**3 - 2/15*o**4 = 0. What is o?
-90, -1, 0
Factor 4/3*d**3 - 8/3*d**2 + 0 + 0*d.
4*d**2*(d - 2)/3
Suppose 949793*h - 949915*h = -244. Factor -136/7*v + 2/7*v**h + 2312/7.
2*(v - 34)**2/7
Solve 1137/7*a**2 + 15309 - 15471*a - 3/7*a**3 = 0.
1, 189
Let j be 34/238 + ((-69)/42 - -3). Let f = 12 - 12. Determine d so that 0 + j*d**4 + 0*d + 3/4*d**3 + f*d**2 + 3/4*d**5 = 0.
-1, 0
Let w(o) = -12*o**3 - 8*o**2. Suppose -1106 = 27*n - 809. Let c(x) = 4*x**2 - 3 + 3 + 6*x**3. Let f(i) = n*c(i) - 6*w(i). Factor f(s).
2*s**2*(3*s + 2)
Factor 3600*s + 443 + 1508*s**2 + 7177*s**3 - 5405 - 222 + s**4 - 7102*s**3.
(s - 1)*(s + 4)*(s + 36)**2
Let o(y) be the second derivative of y**6/330 + y**5/44 - 7*y**4/132 - 5*y**3/66 + 3*y**2/11 - 21*y + 51. Find r such that o(r) = 0.
-6, -1, 1
What is q in 346*q**3 + 200*q**4 + 1343*q**5 - 1328*q**5 - 1250*q**2 - 71*q**3 - 440*q = 0?
-11, -4, -1/3, 0, 2
Let d(t) be the second derivative of t**5/10 - 83*t**4/2 + 6889*t**3 - 571787*t**2 + 38*t - 2. Let d(z) = 0. Calculate z.
83
Let a = -144989 - -144991. Solve -9/4 + 3/4*f**a + 3/2*f = 0 for f.
-3, 1
Let s be 20 + -30 - (-5 + -7). Let o = -11/19 - -185/57. Factor 0*d + 2/3*d**s - o.
2*(d - 2)*(d + 2)/3
Suppose 128 - 28 = 4*g. Factor -3*u - 8*u + g*u**2 + 35*u**3 - 7*u + 8*u.
5*u*(u + 1)*(7*u - 2)
Let s(v) be the second derivative of -v**5/10 - 7*v**4/6 - 7*v**3/3 + 15*v**2 - 10*v - 56. Determine q, given that s(q) = 0.
-5, -3, 1
Factor -6209/9*q + 4994/9*q**2 - 121/9*q**3 + 1960/9.
-(q - 40)*(11*q - 7)**2/9
Let x(r) be the first derivative of -r**5/360 + 17*r**4/144 - 4*r**3/9 + 70*r**2 - 45. Let c(b) be the second derivative of x(b). Solve c(m) = 0 for m.
1, 16
Let l(y) be the first derivative of y**5/120 - y**4/3 + 16*y**3/3 + 2*y**2 + 6*y - 20. Let g(h) be the second derivative of l(h). Suppose g(s) = 0. Calculate s.
8
Let j(p) be the first derivative of 3*p**5/20 - 3*p**4/4 + 5*p**3/4 - 3*p**2/4 - 791. Suppose j(w) = 0. Calculate w.
0, 1, 2
Factor -1/2*k**3 - 116/3 - 23/3*k**2 + 110/3*k.
-(k - 2)**2*(3*k + 58)/6
Factor -152/11 + 80/11*q - 2/11*q**2.
-2*(q - 38)*(q - 2)/11
Let p = -3/7793 - -7823/77930. Let i(w) be the third derivative of 0 - 33*w**2 + p*w**4 + 0*w + 1/100*w**5 + 3/10*w**3. Factor i(f).
3*(f + 1)*(f + 3)/5
Suppose 5*k = 3*n + 31, -7954*n - 115 = -7955*n - 14*k. Factor 24/7*u - 12/7*u**2 + 2/7*u**n - 16/7.
2*(u - 2)**3/7
Let d(h) = 8*h - 27 - 98 - 1. Let n be d(16). Let 2/9*z + 0 + 0*z**n - 2/9*z**3 = 0. Calculate z.
-1, 0, 1
Let u = 7 + -71/11. Let j be (-8 + ((-70)/(-5) - 6))/(-2). Factor j - 2/11*r**5 - 6/11*r**3 - u*r**4 - 2/11*r**2 + 0*r.
-2*r**2*(r + 1)**3/11
Let g(d) be the first derivative of -d**4 + 104*d**3/3 - 138*d**2 - 626. What is z in g(z) = 0?
0, 3, 23
Let i(p) = p**2 + 37*p + 285. Let n be i(-13). Let c be 6/n - 147/(-54). Factor -5/2 - 5/4*o**2 + 25/4*o - c*o**3.
-5*(o - 1)*(o + 2)*(2*o - 1)/4
Let r(p) be the first derivative of -4*p**3/27 - 932*p**2/9 - 620*p/3 + 294. Determine s so that r(s) = 0.
-465, -1
Suppose 0 = -47*h + 376*h. Let v(p) be the first derivative of 8 + 0*p**2 + h*p - 5/4*p**4 + 0*p**3 + 5/6*p**6 + 0*p**5. Factor v(m).
5*m**3*(m - 1)*(m + 1)
Let f(s) be the third derivative of -63*s**7/10 + 4809*s**6/10 - 51517*s**5/5 - 10076*s**4 - 3872*s**3 - 8788*s**2. Factor f(q).
-3*(q - 22)**2*(21*q + 4)**2
Suppose -360*f + 4/5*f**2 - 1804/5 = 0. What is f?
-1, 451
Let d be 36/(106 + -70) + (-7)/(-2). Factor 1/2*l**5 + 3/2*l**4 - d*l**3 + 0 + 5/2*l**2 + 0*l.
l**2*(l - 1)**2*(l + 5)/2
Suppose 5928 + 2964 = -13*i. Let g = i - -13014/19. Find v such that 0 + g*v**2 + 4/19*v = 0.
-2/9, 0
Factor -672/5 - 42*b**2 - 1152/5*b + 9/5*b**3.
3*(b - 28)*(b + 4)*(3*b + 2)/5
Let u = 45 - 9. Suppose 12*m = 3*m + u. What is f in f**2 + 2*f**4 + f**2 - 4*f**m + 2*f**2 - 2*f**3 = 0?
-2, 0, 1
Let 248/7 + 4/7*b**2 - 132/7*b = 0. What is b?
2, 31
Let q(y) be the second derivative of y**5/60 - 13*y**4/36 + 22*y**3/9 - 16*y**2/3 + 3*y + 23. Find d, given that q(d) = 0.
1, 4, 8
Let h(r) be the second derivative of -5*r**4/12 - 740*r**3 - 492840*r**2 - 427*r. Factor h(b).
-5*(b + 444)**2
Let j(b) be the second derivative of 2*b**2 - 27*b - 13/9*b**4 + 5/63*b**7 - 5/9*b**3 - 2 - 28/45*b**6 + 8/5*b**5. Solve j(o) = 0 for o.
-2/5, 1, 3
Let s be ((-2975)/102 + 29)/(-1). Factor 1/6*r**3 + s*r**4 + 0*r - 1/3*r**2 + 0.
r**2*(r - 1)*(r + 2)/6
Let v = 52437/23252 + -30/5813. Solve v*g**2 + 11/4 + 1/4*g**3 - 21/4*g = 0 for g.
-11, 1
Let g(f) be the second derivative of -5*f**4/12 - 1490*f**3 - 1998090*f**2 + 5949*f. Let g(s) = 0. What is s?
-894
What is n in -408*n**4 + 6069 + 169923/7*n**3 + 12/7*n**5 + 2145/7*n**2 - 18309*n = 0?
-1, 1/2, 119
Let t(z) be the third derivative of 4*z**2 - 800/3*z**3 - 4 - z**5 + 0*z + 110/3*z**4 - 7/24*z**6 + 1/42*z**7. Factor t(d).
5*(d - 4)**3*(d + 5)
Let r(a) = -32*a**3 - 322*a**2 - 12773*a - 46208. Let d(z) = -45*z**3 - 482*z**2 - 19159*z - 69312. Let b(x) = -5*d(x) + 7*r(x). Factor b(i).
(i + 4)*(i + 76)**2
Let q be (-99)/10*60/(-45). Let u = 41220 + -41217. Solve 1 + q*v + 64/5*v**5 + 313/5*v**2 + 432/5*v**4 + 124*v**u = 0.
-5, -1, -1/4
Let h be -17 + 20 + (136/(-3))/17. Factor -7/3*v**4 - h*v**3 + 0 + 0*v - 49/12*v**5 + 0*v**2.
-v**3*(7*v + 2)**2/12
Let n be 176/770*(-9 + (-195)/18) + 6. Factor n*z**2 + 16/5*z - 24/5 + 2/15*z**3.
2*(z - 1)*(z + 6)**2/15
Let t = -380 + 422. Factor -85*x**2 + 21*x**2 - t*x + 17*x**2 + 26*x**2 + 18*x**2.
-3*x*(x + 14)
Let f = 1014 + -1011. Let s be ((-6)/8)/(3/(-828)). Factor 12*t**2 + 109*t**3 - s*t**f + 102*t**3.
4*t**2*(t + 3)
Let p be 1197/38 - 31 - (-134)/4. Let y(w) be the second derivative of p*w + 1/6*w**6 + 3/2*w**5 + 0*w**3 + 0 + 15/4*w**4 + 0*w**2. Factor y(a).
5*a**2*(a + 3)**2
Let j(w) = -10*w + 127. Let h be j(13). Let l be (48/84)/2 - h/14. Suppose 0 - l*v + v**2 = 0. Calculate v.
0, 1/2
Let q(p) = 37*p**3 + 88*p**2 - 19*p - 352. Let z(l) = 248*l**3 + 616*l**2 - 132*l - 2464. Let j(g) = -20*q(g) + 3*z(g). Factor j(o).
4*(o - 2)*(o + 2)*(o + 22)
Let z be (-1)/(2/2) + 5. Factor 12*i**z + 7*i**5 + 65 + 53*i**3 + 110*i**2 - 6*i**5 - 25 + 108*i.
(i + 1)*(i + 2)**3*(i + 5)
Let i be (-6 - -6 - -1)*2. Fa