ermine o so that 91/2*o + 1/2*o**2 - 93 = 0.
-93, 2
Let q(c) be the first derivative of -3*c**5/50 + c**4/8 - 3*c**2/2 - 14*c - 21. Let k(t) be the second derivative of q(t). Determine y so that k(y) = 0.
0, 5/6
Suppose 0 = -4144*h + 4079*h. Factor -1/3*v**3 + h*v - 4/3 + v**2.
-(v - 2)**2*(v + 1)/3
Suppose 48*t - 33 = 37*t. Factor -25*v**2 - 308*v**2 - 24297 - 8159 + 6*v**t + 12321*v - 3*v**3 - 119503.
3*(v - 37)**3
Let l(x) be the first derivative of -1/9*x**3 - 8 - 5/6*x**2 - 2*x. Factor l(z).
-(z + 2)*(z + 3)/3
Let r(g) be the first derivative of -g**3/6 + 548*g**2 - 600608*g + 4704. Factor r(i).
-(i - 1096)**2/2
Let j(b) be the third derivative of 1/70*b**7 - 5*b**2 - 2/5*b**5 - 8*b - 1/112*b**8 + 8*b**3 + 0 + 1/5*b**6 - 2*b**4. Find s, given that j(s) = 0.
-2, 1, 2
Suppose 0 = 161*w - 118*w - 117*w. Let k(m) be the second derivative of 0*m**3 + w - 2*m - 1/18*m**4 - 1/90*m**5 + 4/9*m**2. Factor k(i).
-2*(i - 1)*(i + 2)**2/9
Let r = 75076 + -75073. Suppose -12/7 - 22/7*o - 12/7*o**2 - 2/7*o**r = 0. Calculate o.
-3, -2, -1
Let b(x) be the first derivative of x**3/9 - 26*x**2/3 + 3209. Solve b(h) = 0.
0, 52
Factor -23*i - 265*i - 15*i**4 - 158 + 30 + 52*i**5 - 86*i**3 - 292*i**2 + 60*i**2 - 53*i**5.
-(i + 1)*(i + 2)*(i + 4)**3
Let n(d) = -13*d - 258. Let p be n(-20). Determine q, given that 32*q - q**4 - 15 - 1 + 0 + 8*q**3 - 24*q**p + 0 = 0.
2
Suppose -13*o - 3*o - 2*o = -0*o. Let d(a) be the first derivative of 19 + 0*a**2 + 2/55*a**5 + 6/11*a**3 - 3/11*a**4 + o*a. Factor d(v).
2*v**2*(v - 3)**2/11
Let h(c) be the first derivative of -8/5*c + 70 + 1/5*c**2 + 1/15*c**3. Factor h(l).
(l - 2)*(l + 4)/5
Let x be (105/(-6))/7*(-6)/5. Let 21296 + 2539*o**3 + 2544*o**3 + 132*o**2 - 5081*o**x + 2904*o = 0. Calculate o.
-22
Let q(o) be the first derivative of o**3/4 + 63*o**2/4 + 60*o - 907. Find s such that q(s) = 0.
-40, -2
Suppose 132*t + 2531005*t**3 - 33*t**4 + 3*t**5 - 2530888*t**3 - 67*t**2 - 36 - 116*t**2 = 0. Calculate t.
1, 2, 6
Suppose d - 7 = p, 571*p - 567*p = d - 19. Suppose -c + z = -5, -c + 25 = -2*c - 5*z. Factor c + 0*j**d + 0*j**2 + 0*j**4 + 0*j - 2/3*j**5.
-2*j**5/3
Solve -20/13*r**2 + 62/13*r + 2/13*r**3 - 60/13 = 0 for r.
2, 3, 5
Let y(b) be the second derivative of b**4/6 + b**3/6 - b**2/2 + 41*b. Let m(z) = z**3 - 12*z**2 + 2*z + 3. Let d(k) = m(k) + 3*y(k). Find q such that d(q) = 0.
0, 1, 5
Let m = 294307/15 + -19619. Factor -m*f + 2/15*f**5 + 28/15*f**2 - 4/5*f**3 - 2/15*f**4 + 2/5.
2*(f - 1)**4*(f + 3)/15
Factor -1/3*d**3 + 1/3*d - 1/3*d**2 + 1/3*d**4 + 0.
d*(d - 1)**2*(d + 1)/3
Let t be 9/1 + (-26 - -21). Suppose -k - j = -3, 6*k - 3*j - 6 = t*k. Find i such that -3/4*i**4 + 21/4*i**k + 27/4*i + 0 - 45/4*i**2 = 0.
0, 1, 3
Let j = 106407 - 106404. Factor 0 + 6*s**j + 3/2*s**2 + 0*s.
3*s**2*(4*s + 1)/2
Suppose 102 = 4*h + 94. Let f be -3 - (24/48)/(h/(-14)). Factor -1/4*t**2 + 1/2*t - f*t**4 + 0 - 5/4*t**3.
-t*(t + 1)*(t + 2)*(2*t - 1)/4
Let j(v) be the third derivative of -61*v**6/30 + 148*v**5/15 - 113*v**4/6 + 52*v**3/3 + 2271*v**2 - 2*v. Factor j(g).
-4*(g - 1)**2*(61*g - 26)
Let w = 113523 + -113511. What is d in 28/3*d + 8/3 + w*d**2 + 20/3*d**3 + 4/3*d**4 = 0?
-2, -1
Let a(s) be the second derivative of 2/15*s**6 - 235*s + 0 - 400/3*s**3 + 0*s**2 + 18/5*s**5 + 20*s**4. What is z in a(z) = 0?
-10, 0, 2
Let w(y) = -y**2 + y. Let v(b) = 2*b**3 + 119*b**2 + 1655*b - 8712. Let g(z) = v(z) - 5*w(z). Factor g(x).
2*(x - 4)*(x + 33)**2
Let d(k) = -25*k**2 + 6. Let z be d(-4). Let m = 397 + z. Factor -g - g**2 + 0 + 1/4*g**4 + 1/4*g**m.
g*(g - 2)*(g + 1)*(g + 2)/4
Let g = 1/1632 + 3131/217056. Let a = g - -923/532. Factor 5/4*f**3 - f**4 + a*f**2 + 0 - 1/2*f.
-f*(f - 2)*(f + 1)*(4*f - 1)/4
Suppose 1312/7*z**4 + 410/7*z - 36/7 + 128/7*z**5 - 1466/7*z**2 + 1272/7*z**3 = 0. Calculate z.
-9, -2, 1/4
Let i(s) be the third derivative of -164*s**2 + 0*s + 0*s**5 - 1/112*s**8 + 0*s**7 + 0*s**3 + 0 + 0*s**4 + 1/40*s**6. Find h such that i(h) = 0.
-1, 0, 1
Let l(q) be the second derivative of -305/36*q**3 - 25/6*q**2 + 0 + 5/12*q**6 - 265/72*q**4 + 99*q + 13/24*q**5. Solve l(j) = 0 for j.
-5/3, -1, -1/5, 2
Suppose 9*l - 1 = -t + 7*l, t - 17 = 2*l. Let c be (5 - 38/8) + t/8. Factor -21/8*w - c - 9/8*w**2 + 1/8*w**3.
(w - 11)*(w + 1)**2/8
Let w(k) = -45*k**4 - 229*k**3 - 236*k**2 + 38*k + 6. Let z(s) = 270*s**4 + 1375*s**3 + 1415*s**2 - 215*s - 35. Let o(q) = -35*w(q) - 6*z(q). Factor o(x).
-5*x*(x + 1)*(x + 4)*(9*x + 2)
Find h such that 67*h**3 - 310*h**3 + 264*h**3 - 27*h - 57*h**2 + 57*h**4 + 6*h**5 = 0.
-9, -1, -1/2, 0, 1
Let b(g) = -g**4 + 18*g**3 + 619*g**2 + 1138*g + 560. Let s(o) = 20*o**4 - 395*o**3 - 13620*o**2 - 25030*o - 12320. Let c(j) = 45*b(j) + 2*s(j). Factor c(y).
-5*(y - 14)*(y + 1)**2*(y + 8)
Let d(p) be the first derivative of -p**4/18 - 62*p**3/27 + 2261*p**2/9 - 16606*p/3 - 4437. Determine a so that d(a) = 0.
-69, 19
Find r such that -144 - 1/2*r**4 + 23/2*r**3 - 83*r**2 + 216*r = 0.
1, 4, 6, 12
Let h(l) = 3*l**2 - 1. Let a be h(4). Suppose -2*w = -a + 7. Factor -w*n**3 - 18*n**3 + 588*n + 44*n**2 + 1372 + 42*n**3 + 40*n**2.
4*(n + 7)**3
Let w(n) = 24*n - 7251*n**3 - 3 - 1 + 7250*n**3 + 28*n - 51*n**2. Let p(f) = -f**3 + f - 1. Let q(y) = -4*p(y) + w(y). What is s in q(s) = 0?
0, 1, 16
Let m be 0/2 + (-48 - -6). Let v = m + 44. Factor -x**2 - 246*x**3 + 246*x**3 + 2*x**4 - x - x**v + x**5.
x*(x - 1)*(x + 1)**3
Factor 0 + 49/5*c + 1/10*c**2.
c*(c + 98)/10
Let o(i) = 19*i**4 + 20*i**3 - 312*i**2 - 732*i - 135. Let f(a) = 2*a**4 + a**3 + 3*a. Let b(c) = -2*f(c) + o(c). Factor b(t).
3*(t - 5)*(t + 3)**2*(5*t + 1)
Suppose 0 = 3*b + 4*g - 1 + 89, g + 4 = 0. Let h be ((-13)/52)/(((-2)/b)/(-1)). Determine v so that -v**4 - 13*v**2 - 8*v**3 + 10*v**3 + 8*v**h - 36 - 60*v = 0.
-1, 6
Let k be 10/(-520)*-16*52/(-32)*-4. Let i(q) be the third derivative of 5/6*q**4 + 4*q**3 - q + 0 + 11*q**k - 1/15*q**5. Factor i(g).
-4*(g - 6)*(g + 1)
Suppose -45 = 8*u - 10*u + 3*v, -2*v = 30. Factor u - 6/5*s**3 - 1/5*s**4 - 4/5*s - 9/5*s**2.
-s*(s + 1)**2*(s + 4)/5
Let u(c) be the first derivative of -c**6/60 + c**5/10 - c**4/6 - 114*c - 73. Let g(d) be the first derivative of u(d). Factor g(q).
-q**2*(q - 2)**2/2
Let g(o) = -20*o**3 - 75*o**2 - 35*o + 5. Let m(c) = -2 + c**4 - 15*c - 37*c**2 - 10*c**3 + 2 + 2 - 3*c. Let v(j) = -2*g(j) + 5*m(j). Factor v(i).
5*i*(i - 4)*(i + 1)**2
Let l(v) be the first derivative of 2*v**3/21 - 164*v**2 + 94136*v - 111. Let l(w) = 0. Calculate w.
574
Let z = 3128 - 9383/3. Let d(k) be the first derivative of -k + 0*k**2 + 17 + z*k**3. Let d(y) = 0. Calculate y.
-1, 1
Factor 3468 - 4556*z + 3520/3*z**2 - 256/3*z**3.
-4*(z - 1)*(8*z - 51)**2/3
Let u(i) be the third derivative of i**7/1050 + 11*i**6/120 + 261*i**5/100 + 243*i**4/40 + 2463*i**2. Factor u(m).
m*(m + 1)*(m + 27)**2/5
Let y(h) be the second derivative of -7*h**7/2 + 476*h**6/5 + 11811*h**5/20 + 503*h**4 + 138*h**3 + 6*h + 80. Suppose y(w) = 0. What is w?
-3, -2/7, 0, 23
Suppose -924*o**2 + 488*o**2 - 160 + 366*o + 487*o**2 - 6*o**3 - 35 = 0. Calculate o.
-5, 1/2, 13
Let c(z) be the third derivative of 5*z**7/252 - 97*z**6/144 - 3559*z**5/360 + 1481*z**4/144 - 25*z**3/6 - 2*z**2 + 119*z + 8. Solve c(d) = 0.
-6, 1/5, 25
Let v(b) = 4*b**2 - 27*b - 3. Suppose -6 = -2*k, -5 = 3*a - 2*k + 10. Let h(n) = -8*n**2 + 53*n + 5. Let g(o) = a*h(o) - 5*v(o). Factor g(j).
4*j*(j - 6)
Suppose -74 = -57*g + 97. Let z = -6 - -23. Let -52*t + 8*t**2 + g + 13 + z*t**2 + 12*t = 0. What is t?
4/5
Let s(o) be the second derivative of o**4/24 - 11*o**3/4 - 299*o**2/2 - 2848*o. Suppose s(r) = 0. What is r?
-13, 46
Suppose -1487 = 21*c - 5603. Let f be 4578/c - 6/7. Suppose -6 - 33/2*a**4 + 69/2*a**3 - 12*a + f*a**2 - 45/2*a**5 = 0. Calculate a.
-1, -2/5, 2/3, 1
Suppose -13*v - 4*v + 153 = 0. Let 4*l**3 - 33*l + 2*l**4 + 10601 - 22*l**2 + v*l - 10601 = 0. Calculate l.
-4, -1, 0, 3
Let r(u) be the third derivative of -u**8/42 - 19*u**7/35 - 29*u**6/6 - 629*u**5/30 - 45*u**4 - 100*u**3/3 + 44*u**2 + 6*u. What is b in r(b) = 0?
-5, -2, -1/4
Let r(s) be the second derivative of s + 0*s**2 + 19 + 2/5*s**3 - 2/75*s**6 - 7/15*s**4 + 1/5*s**5. Solve r(h) = 0.
0, 1, 3
Let o(c) = -26*c - 157. Let m be o(-6). Let n(g) = g**2 - 15*g - 16. Let s be n(m). Factor 39/2*f**3 + 3/2*f*