vative of w(q). Factor l(o).
-2*(5*o + 18)**2
Let f(v) be the third derivative of v**7/945 - 61*v**6/90 + 34921*v**5/270 - 21838*v**4/9 + 512656*v**3/27 + 4*v**2 - 49*v + 1. Factor f(j).
2*(j - 179)**2*(j - 4)**2/9
Let i(v) = -9*v**3 + 12*v**2 + 18*v - 6. Let y(c) = -46*c**3 - 2*c**2 - 45*c**3 + 92*c**3 + 0*c - c + 1. Let p(m) = -i(m) - 6*y(m). Let p(n) = 0. Calculate n.
-2, 0, 2
Let i(j) be the first derivative of j**8/1680 - j**7/840 - j**6/360 + j**5/120 - 47*j**3/3 - 86. Let x(n) be the third derivative of i(n). Factor x(v).
v*(v - 1)**2*(v + 1)
Suppose -207*d - 42 = -21*d - 414. Factor -71/6*l - 37/6*l**d - 35/6 - 1/6*l**3.
-(l + 1)**2*(l + 35)/6
Let r(s) be the third derivative of s**8/3360 + 11*s**7/2100 + s**6/150 - 31*s**5/75 - 17*s**4/5 - 12*s**3 + 1620*s**2. Suppose r(h) = 0. What is h?
-6, -2, 5
Let a be ((-8)/(-700)*-10)/(648/90 - 8). Solve -6/7*p**4 - 12/7*p**2 + 0 - a*p**5 - 13/7*p**3 - 4/7*p = 0 for p.
-2, -1, 0
Solve -124*z**3 - 80*z**3 + 356*z**3 + 2888*z**2 + 2*z**4 = 0 for z.
-38, 0
Let r be ((-29)/(174/56))/(1/3). Let l be -2 - 94/r - (-54)/(-108). Let l*m**3 - 10/7*m**2 + 2/7*m**4 - 2/7*m**5 + 0 + 4/7*m = 0. What is m?
-2, 0, 1
Let t(y) be the first derivative of y**4/22 + 10*y**3/11 + 47*y**2/11 + 6*y - 986. Find d, given that t(d) = 0.
-11, -3, -1
Let k(m) be the first derivative of 14*m**3/3 - 278*m**2 - 160*m + 620. Solve k(p) = 0 for p.
-2/7, 40
Let n be -31 + 2646/81 + 80/6. Let z(f) be the first derivative of f**3 - 11 + 24*f - n*f**2 + 3/4*f**4. What is o in z(o) = 0?
-4, 1, 2
Let f(i) be the second derivative of i**6/105 - 39*i**5/70 - 41*i**4/14 - 125*i**3/21 - 6*i**2 + 1863*i. Factor f(p).
2*(p - 42)*(p + 1)**3/7
Suppose 0 = 24*t - 106 + 10. Let h(q) = -q**2 + 2*q + 14. Let l be h(t). Determine j so that 7/2*j**3 + 0 - 2*j - l*j**2 = 0.
-2/7, 0, 2
Let t(b) = 2*b + 35. Let v be t(-11). Let x = v - 8. What is n in -4*n**3 - 16*n**4 - 4*n**2 + 18*n**3 - n**x + 7*n**5 + 0*n**3 = 0?
0, 2/3, 1
Let t = 45539 - 500923/11. Determine o, given that 24/11 + 30/11*o + t*o**2 = 0.
-4, -1
Let k(w) be the second derivative of 1/20*w**2 + 0 + 1/120*w**4 + 38*w - 1/30*w**3. Factor k(a).
(a - 1)**2/10
Let c be (-11 + (-2282)/(-210))*(20/(-8) + 1). Factor 0*a + 0 + 12/5*a**2 + 8/5*a**3 - c*a**4 - 1/5*a**5.
-a**2*(a - 3)*(a + 2)**2/5
Let h = 3869 - 3865. Let g(s) be the second derivative of 8*s**2 - h*s + 0*s**3 - 1/3*s**4 + 0. Factor g(m).
-4*(m - 2)*(m + 2)
Let w(i) be the first derivative of 15/14*i**2 - 1/7*i**3 + 36 + 0*i. Factor w(p).
-3*p*(p - 5)/7
Let s(h) = 484*h**3 + 1216*h**2 + 500*h - 136. Let q(g) = -74*g**3 - 187*g**2 - 77*g + 21. Let i(v) = 32*q(v) + 5*s(v). What is z in i(z) = 0?
-1, 2/13
Let x = -76857 + 76862. Let 3*i**3 + 1/8*i**x - 4*i**2 + 0 + 2*i - i**4 = 0. What is i?
0, 2
Let j(w) be the first derivative of -6*w**4 + 208 - 16*w**3 + 0*w - 16*w**2 - 4/5*w**5. Factor j(d).
-4*d*(d + 2)**3
Let c(h) be the second derivative of 8*h**2 - 1/2*h**4 - 1/10*h**5 + 67*h - 1 + 2*h**3. Factor c(s).
-2*(s - 2)*(s + 1)*(s + 4)
Let c(p) be the third derivative of p**8/1008 + 52*p**7/315 + 119*p**6/12 + 1960*p**5/9 - 42875*p**4/72 + 4404*p**2. Find t, given that c(t) = 0.
-35, 0, 1
Let l(a) = 227*a**3 + 2*a**2 - 5*a + 4. Let z be l(1). Suppose -2*r + z = 222. Solve -3*s - 6*s**2 + 7*s**2 + s + 28*s**r = 0.
-2/7, 0, 1/4
Let c(i) = i**3 - 16*i**2 - 40*i + 74. Let h be c(18). Determine d, given that 6*d**5 + 91*d**4 + 66*d**3 - 40*d**4 - 13*d**4 + 18*d**h + 0*d**5 = 0.
-3, -1/3, 0
Factor -170/7*t + 0 + 172/7*t**2 - 2/7*t**3.
-2*t*(t - 85)*(t - 1)/7
Let i = 84941 + -934347/11. Factor -64/11*f**2 + 30/11*f**3 + 38/11*f - i.
2*(f - 1)**2*(15*f - 2)/11
Let o(n) be the third derivative of -5*n**8/336 + 59*n**7/42 - 7*n**6/3 - 29*n**5/3 - 9*n**2 - n - 454. Solve o(m) = 0.
-1, 0, 2, 58
Let o(i) be the second derivative of -3*i - 2 + 2/5*i**2 - 1/3*i**3 + 2/15*i**4 - 1/50*i**5. Factor o(q).
-2*(q - 2)*(q - 1)**2/5
Let i be (-12)/22*(-5 + -6). Let y(n) be the first derivative of 85*n**i - 423/5*n**4 + 0*n - 24/5*n**2 + 40*n**3 - 7 + 42/5*n**5. Let y(q) = 0. Calculate q.
-1, 0, 2/17, 2/5
Let s(y) = 17*y**3 - 111*y**2 - 92*y + 40. Let v(l) = -33*l**3 + 94*l**2 + 64*l**2 - 81 + 183*l + 64*l**2. Let p(z) = -9*s(z) - 4*v(z). What is r in p(r) = 0?
-1, 2/7, 6
Let t(l) = 23*l**3 - 159*l**2 + 406*l - 336. Let a(h) = -2*h**3 + 8*h**2 - h + 1. Let b(n) = 22*a(n) + 2*t(n). Factor b(m).
2*(m - 65)*(m - 5)*(m - 1)
Suppose 515*t + 786*t + 9 = 3912. Solve -4/3*i + 4/3*i**t - 8/3 + 8/3*i**2 = 0 for i.
-2, -1, 1
Suppose 0 = -2*b - 42*b + 88. Let l(g) be the second derivative of 0*g**3 - 1/51*g**6 + 0 + 8*g + 0*g**4 + 0*g**b - 1/85*g**5. Factor l(n).
-2*n**3*(5*n + 2)/17
Suppose 2*m - 2 - 18 = -5*z, 2*z + 3*m = -3. Suppose -z*s**2 + 3*s - 47 - 3 + 10 + 7*s**2 = 0. Calculate s.
-8, 5
Let v(y) be the first derivative of 4*y**2 + 1/5*y**5 - 32*y - 2/3*y**3 + 35 - 2/3*y**4. Let m(n) be the first derivative of v(n). Factor m(h).
4*(h - 2)*(h - 1)*(h + 1)
Factor 107*r - 1999*r**2 + 4016*r**2 - 2019*r**2 + 86 - 23*r.
-2*(r - 43)*(r + 1)
Let j(c) be the third derivative of -c**5/12 + 215*c**4 + 5165*c**3/6 + 4112*c**2. Let j(x) = 0. What is x?
-1, 1033
Factor -2/5*j**2 - 126/5 - 128/5*j.
-2*(j + 1)*(j + 63)/5
Let q = 711 + -709. Suppose -q*n = r + 14 - 22, -22 = -5*r - 4*n. Factor 6*w + 20/3 - 2/3*w**r.
-2*(w - 10)*(w + 1)/3
Let y(q) be the third derivative of q**8/336 - 4*q**7/105 - 23*q**6/120 + 41*q**5/10 - 3*q**4/2 - 180*q**3 - 58*q**2 - q. Determine h so that y(h) = 0.
-5, -2, 3, 6
Let w(p) be the third derivative of 13/6*p**4 + 1 + 0*p + 169/3*p**3 + 1/30*p**5 + 31*p**2. Factor w(q).
2*(q + 13)**2
Factor 275*w**2 + 580 + 4*w**3 + 860*w + 12*w**3 - 49*w**3 + 18*w**3 + 10*w**3.
-5*(w - 58)*(w + 1)*(w + 2)
Let a be ((-4)/14)/((880/(-14))/22). Let s(q) be the second derivative of 1/2*q**2 + 0*q**4 - 1/30*q**6 + 0 - a*q**5 + 1/3*q**3 - 15*q. Factor s(b).
-(b - 1)*(b + 1)**3
Suppose 2*g = 4, 4*g = 4*u + 7*g - 18. Determine y, given that 65*y**2 - 5*y**4 - 76*y**3 + 222*y**3 - 60*y - 72*y**u - 74*y**3 = 0.
-4, 0, 1, 3
Find c such that 1706*c - 80 - c**3 - 858*c + 207*c**2 - 1259*c + 285 = 0.
1, 205
Suppose 0 = 37*f - 329 - 3223. Determine b, given that f*b**2 - 86 - 4 - 10 + 3*b**4 + b**4 + 40*b**3 - 40*b = 0.
-5, -1, 1
Suppose -3*l - 4 = u - 5*l, 0 = -u + 3*l - 7. Factor 31*n**2 - 72*n - 5*n**2 - 15*n**u - 8*n**2 + 432.
3*(n - 12)**2
Let s = -1004039/3 - -334681. What is z in 1/12*z**4 + 0*z - 1/12*z**5 + 5/3*z**2 + s*z**3 + 0 = 0?
-2, 0, 5
Factor 2448*r + 330*r**2 - 52*r**2 + 2312 - 53*r**2 + 2*r**3 - 87*r**2.
2*(r + 1)*(r + 34)**2
Let a(x) be the third derivative of -x**8/2520 + 4*x**7/525 - 49*x**6/900 + x**5/5 - 19*x**4/45 + 8*x**3/15 - 4*x**2 + 8*x + 36. Suppose a(s) = 0. Calculate s.
1, 2, 6
Let t(b) = 5*b**4 - 30*b**5 + 13*b**5 + 20*b**5 - b**3 + 4 + 3*b**2 - 10*b**2. Let h(q) = -q**5 - q**4. Let l(i) = 4*h(i) + 2*t(i). Let l(y) = 0. Calculate y.
-2, -1, 1
Suppose -3*k - 7 + 22 = 0. Suppose -3*c = 2*x - 4*x - 10, -2 = 3*c - k*x. Factor -4*r + 5*r**2 - c*r**2 - r + r.
-r*(r + 4)
Suppose -90*h = -14*h + 304. Let l be 27/(-72)*(24/(-9) + h). Suppose -1 - 9/2*r**2 - 7/2*r - 1/2*r**4 - l*r**3 = 0. Calculate r.
-2, -1
Let p(a) be the first derivative of 2*a**3/9 - 58*a**2/3 - 80*a + 2388. Factor p(d).
2*(d - 60)*(d + 2)/3
Let u(n) be the third derivative of 3/200*n**6 - 1/30*n**4 + 1/1050*n**7 + 0*n + 0 + 3/50*n**5 - 261*n**2 - 4/5*n**3. Let u(c) = 0. What is c?
-6, -2, 1
Let n = 647 - 8403/13. Let d = -36056 - -468730/13. Factor 2/13*z**3 - 8/13*z + d*z**4 + 0 - n*z**2.
2*z*(z - 2)*(z + 1)*(z + 2)/13
Let a(m) be the second derivative of 1/6*m**4 - 20*m**3 + 15 - 8*m + 59*m**2. Determine x so that a(x) = 0.
1, 59
Let k = 30693622/54357 - 12/18119. Factor -16/3 + 44*c**2 - k*c**3 + 40*c.
-2*(7*c + 2)*(11*c - 2)**2/3
Let o = 83 - 82. Let m be ((-116)/(-145))/((-18)/(-14) - o). Factor 8/5*r**2 + m*r - 4/5.
2*(r + 2)*(4*r - 1)/5
Let h be 119/(-34) + -3 - 4*-2. Let y(c) be the second derivative of 3*c**2 + 11*c - h*c**3 + 3/20*c**5 + 0 + 0*c**4. Factor y(j).
3*(j - 1)**2*(j + 2)
Factor 2*k + 138592*k**2 + k - 138676*k**2 + 3*k**3 - 3*k.
3*k**2*(k - 28)
Let a(z) be the second derivative of -1/12*z**4 - 1/6*z**3 - 45 + z**2 - 2*z. Factor a(m).
-(m - 1)*(m + 2)
Le