d w such that 4/5 + 14*w + 66/5*w**v = 0.
-1, -2/33
Let n(y) be the first derivative of y**4/4 - y**2 - y + 2. Let h(r) = 4*r**3 + 111*r**2 - 67*r + 18. Let v(g) = h(g) + 5*n(g). Find i, given that v(i) = 0.
-13, 1/3
Let v(c) = c**3 - 170*c**2 + 711*c - 62994. Let w be v(168). Let 16/5*i - 16/5*i**3 - 28/5*i**2 - 2/5*i**4 + w = 0. Calculate i.
-5, -3, -1, 1
Let u(r) be the second derivative of -11*r**4/18 + 37*r**3/3 - 10*r**2/3 - 813*r. Factor u(j).
-2*(j - 10)*(11*j - 1)/3
Let w(v) be the third derivative of -v**8/288 + 5*v**7/672 - v**6/144 - v**5/20 - 24*v**2. Let k(c) be the third derivative of w(c). Factor k(m).
-5*(4*m - 1)*(7*m - 2)/2
Let q(l) be the second derivative of 7*l**5/10 - 67*l**4 + 563*l**3/3 - 168*l**2 - 3267*l. Factor q(h).
2*(h - 56)*(h - 1)*(7*h - 3)
Let d(q) be the first derivative of -1369*q - 197 - 37*q**2 - 1/3*q**3. Factor d(g).
-(g + 37)**2
Let k(w) be the second derivative of -1/15*w**6 + 11/10*w**5 - 10*w - 32*w**2 + 1 + 64/3*w**3 - 7*w**4. Factor k(x).
-2*(x - 4)**2*(x - 2)*(x - 1)
Let y(t) be the first derivative of -4*t**3/9 - 9229*t**2/6 - 769*t - 6338. Let y(v) = 0. What is v?
-2307, -1/4
Suppose 1062 = 5*d + 13*d. Factor 54*h**2 + 38*h**2 - 83*h**2 + 72*h + d*h**2 - 4*h**3.
-4*h*(h - 18)*(h + 1)
Let w(k) = 72*k**3 + 112*k**2 - 518*k + 12. Let v(q) = q**3 - 2*q**2. Let x(t) = 28*v(t) + 2*w(t). Factor x(m).
4*(m - 2)*(m + 3)*(43*m - 1)
Suppose -3*k + 9 = -2*d, -3*d - 5 - 8 = -4*k. Suppose -2*t + 5 = k. Solve -53*v + 101*v - v**3 - 47*v + v**5 - 4*v**t - 4*v**4 + 7*v**3 = 0 for v.
0, 1
Let n be (-17)/34 - (1/(-2))/1. Let t(o) be the second derivative of 11*o + 0*o**2 + 0*o**3 + n + 1/27*o**4 - 7/90*o**5. What is w in t(w) = 0?
0, 2/7
Suppose 4 = c + 2. Suppose -1035*z = 1038*z - 2113*z + 120. Determine q, given that -7/3*q**z + 17/6*q**c + 2/3 + 10/3*q = 0.
-1/2, -2/7, 2
Let r(w) be the second derivative of 3*w**5/100 + 93*w**4/4 - 933*w**3/10 + 1401*w**2/10 - 21*w + 1. Factor r(x).
3*(x - 1)**2*(x + 467)/5
Let v(u) = 87*u**2 - 1025*u - 226. Let j be v(12). Find z, given that z + 1/4*z**j + 3/4 = 0.
-3, -1
Let m(f) be the second derivative of -f**6/10 + 177*f**5/100 + 77*f**4/20 + 13*f**3/10 - 3*f + 181. Determine z so that m(z) = 0.
-1, -1/5, 0, 13
Let z(r) be the second derivative of 73/6*r**6 - 10/3*r**3 - 35/3*r**4 + 116*r + 10*r**7 + 0*r**2 + 0 - 35/4*r**5. Determine t, given that z(t) = 0.
-1, -2/7, -1/4, 0, 2/3
Let z(g) = -g**4 - 4*g**3 - 2*g**2. Let i(m) = 9*m**4 + 39*m**3 + 21*m**2. Let p be (-4 - 1)*(14 - 3). Let j = -76 - p. Let d(o) = j*z(o) - 2*i(o). Factor d(l).
3*l**3*(l + 2)
Let y(t) be the third derivative of -t**7/140 + t**6/10 - 17*t**5/40 + 5*t**4/8 - 611*t**2 - 4. Factor y(a).
-3*a*(a - 5)*(a - 2)*(a - 1)/2
Let z(d) be the second derivative of -5*d**7/42 - 23*d**6/3 - 445*d**5/4 - 1625*d**4/3 - 3610*d**3/3 - 1360*d**2 - 711*d. Let z(c) = 0. What is c?
-34, -8, -2, -1
Let a be 12*3*((-688)/(-48) - 14). Factor 9/2 + 15/2*d**2 - a*d.
3*(d - 1)*(5*d - 3)/2
Suppose -16*p**2 + 17/5*p**3 + 0 + 64/5*p - 1/5*p**4 = 0. Calculate p.
0, 1, 8
Let m = 1213/66 - 359/33. Suppose 4*n + 5*q = 20, -5*q - 5 = -n - 0*q. Factor -5/2*v - m + n*v**2.
5*(v + 1)*(2*v - 3)/2
Let v be (22 - 24)/((-32)/1*(-15)/(-18)). Let o(l) be the third derivative of 3/4*l**4 - 7/20*l**5 + 0*l**3 + 5*l**2 + 0 + 0*l - v*l**6. Factor o(b).
-3*b*(b + 3)*(3*b - 2)
Let t(m) be the third derivative of m**8/504 + 31*m**7/105 - 47*m**6/90 + 2674*m**2. Factor t(s).
2*s**3*(s - 1)*(s + 94)/3
Let f be ((-6)/(-8) - (-44)/(-80))/(6 + -5). Factor f*p**2 - 6/5 + 1/5*p.
(p - 2)*(p + 3)/5
Let r = 261565/27 + -9689. Let b = 34/27 - r. Factor -8/3*n - 8/3 + 2/3*n**4 + 2*n**2 + b*n**3.
2*(n - 1)*(n + 1)*(n + 2)**2/3
Determine j so that 59/2*j**4 + 1/2*j**5 - 189*j**3 + 195/2 - 647/2*j + 385*j**2 = 0.
-65, 1, 3
Suppose 125 = -18*k + 179. Let t be -3 + 2 + -2 + 45/10. Suppose -5/2*m**2 + 9/2 + t*m + 1/2*m**k = 0. What is m?
-1, 3
Let v(k) = 7*k**2 - 267*k + 1296. Let u(a) = 27*a**2 - 1068*a + 5175. Let t(m) = 4*u(m) - 15*v(m). Factor t(d).
3*(d - 84)*(d - 5)
Let y(c) = 26*c**4 + 32*c**3 - 11*c**2 - 5*c - 7. Let g(d) = 24*d**4 + 31*d**3 - 10*d**2 - 6*d - 6. Let u(h) = 7*g(h) - 6*y(h). Suppose u(p) = 0. What is p?
-2, -3/4, 0, 2/3
Solve -198/17*a + 2/17*a**4 - 972/17 + 210/17*a**2 + 62/17*a**3 = 0.
-27, -3, 2
Let j(i) be the first derivative of i**4/96 - i**3/12 - 260*i + 148. Let k(l) be the first derivative of j(l). Solve k(h) = 0.
0, 4
Suppose 5*t - 8778 = -2*u, 21491 = 4*u + t + 3989. Suppose u*r**3 - 19683*r**4 + 27*r - 486*r**2 - 3/5 + 177147/5*r**5 = 0. Calculate r.
1/9
Factor 2/11*x**2 + 0 + 980/11*x.
2*x*(x + 490)/11
Let w(s) be the third derivative of -s + 4*s**2 + 2/39*s**3 + 1/52*s**4 + 0 - 1/780*s**6 + 0*s**5. Find g such that w(g) = 0.
-1, 2
Let t(q) = 6*q**2 + 4*q. Let o be t(-1). Factor -5*f**2 - 14*f + 2*f + 4*f**3 + 2*f**o - 5*f**2.
4*f*(f - 3)*(f + 1)
What is p in 8/5*p**4 + 0*p**2 + 0*p + 2/5*p**3 + 0 + 6/5*p**5 = 0?
-1, -1/3, 0
Suppose -6*y - 5*y = -44. Let x(l) = -l**3 - 10*l**2 + 24*l + 2. Let p be x(-12). Solve -3*b**2 + 2*b**p - 536*b**4 + 531*b**y - 10*b**3 - 4*b**2 = 0 for b.
-1, 0
Let h(z) be the third derivative of -z**6/24 + 71*z**5/12 + 225*z**4/2 + 390*z**3 + 31*z**2 + z - 11. Factor h(k).
-5*(k - 78)*(k + 1)*(k + 6)
Let a = -656 + -2056. Let t = 2715 + a. Factor 16/7*u**2 - 5/7*u - 9/7*u**t - 2/7.
-(u - 1)**2*(9*u + 2)/7
Solve -24/13*d + 2/13*d**5 + 0 - 16/13*d**2 + 22/13*d**3 + 16/13*d**4 = 0 for d.
-6, -2, -1, 0, 1
Let h = -36674/15 - -257288/105. Factor -2/7*c**5 + 0*c - 22/7*c**4 - 18/7*c**2 + 0 - h*c**3.
-2*c**2*(c + 1)**2*(c + 9)/7
Let i(d) be the second derivative of -5*d**4/18 + 25*d**3/6 - 65*d**2/6 - d + 1169. Suppose i(m) = 0. What is m?
1, 13/2
Let z(r) be the second derivative of -r**6/165 + 2*r**5/5 - 329*r**4/66 - 34*r**3/3 - 3*r - 14. Solve z(a) = 0.
-1, 0, 11, 34
Suppose 0 = t - 5*p + 23, -4*t = 3*p + 2*p + 117. Let h be 0*(t/(-16) + -2). Solve 0*x + 1/4*x**3 - 1/4*x**2 + h = 0.
0, 1
Suppose -3*x = -3*b, b - 5*x = -11 - 1. Factor 8*i**2 + 8*i**2 + 126*i**3 + 4*i**5 + 116*i**b - 367*i**3 + 121*i**3 - 16*i**4.
4*i**2*(i - 4)*(i - 1)*(i + 1)
Suppose -i + 2*x + 12 = 0, 5*i - 39 = 3*x + 28. Let g(s) be the first derivative of -i + 14/9*s**3 + 0*s + 5/6*s**4 + 2/3*s**2. Factor g(o).
2*o*(o + 1)*(5*o + 2)/3
Let c(z) be the second derivative of -z**5/190 - z**4/6 + 10*z**3/3 + 208*z**2/19 + 131*z - 16. Factor c(m).
-2*(m - 8)*(m + 1)*(m + 26)/19
Suppose 2*w = w, 2*p + w - 234 = 0. Suppose -x = 8*x - p. Let 2*a + 4*a**2 + a**2 - x*a**2 = 0. What is a?
0, 1/4
Let t be (-99 - -99)/((-14)/1). Let 25/2*p**2 + t + 5*p - 15/2*p**4 - 10*p**3 = 0. Calculate p.
-2, -1/3, 0, 1
Let g(q) = 14*q**2 + 68*q + 20. Let z(v) = -14*v**2 - 66*v - 19. Suppose 4*c + 26 = 2*m, -c + m - 7 = 2. Let i(w) = c*z(w) - 3*g(w). Solve i(s) = 0 for s.
-4, -2/7
Let j(r) be the first derivative of r**4/60 - 76*r**3/15 + 2888*r**2/5 + 241*r + 260. Let y(c) be the first derivative of j(c). Suppose y(t) = 0. Calculate t.
76
Suppose 3*l - 1634 = -3*r + 55, -3 = -3*r. Let a = l - 555. Factor -49 - a*f - 1/4*f**2.
-(f + 14)**2/4
Let b be 27 + 1073*23/(-920). Let o(a) be the second derivative of 3/4*a**4 - 6 - 5/3*a**3 + a + 2*a**2 + 1/60*a**6 - b*a**5. Find n, given that o(n) = 0.
1, 2
Let m be 10/(-25) - (576/(-40) + (17 - 3)). Solve 1/2*q**2 + m*q + 0 + q**3 + 1/2*q**4 = 0.
-1, 0
Let w(h) = -5*h**2 - 2. Let q(a) = -36*a**2 + 7*a - 6. Let j(r) = 4*q(r) - 28*w(r). Factor j(d).
-4*(d - 8)*(d + 1)
Let g(h) = h**3 - 6*h**2 - 8*h + 14. Let n be g(7). Factor m + 3*m - n*m - 9*m + 8*m**2.
4*m*(2*m - 3)
Let s(u) = u**5 - 8*u**3 + 8*u**2 - 5*u + 2. Let c(n) = n**3 + n - 1. Let k be 20/2 - (13 + (-16)/2). Let j(q) = k*s(q) + 10*c(q). Factor j(m).
5*m*(m - 1)**3*(m + 3)
Let w(j) be the first derivative of 13/2*j - 2*j**3 - 7/4*j**4 - 6 + 7/2*j**2 - 1/10*j**5. Factor w(b).
-(b - 1)*(b + 1)**2*(b + 13)/2
Let o(d) be the first derivative of 214*d**3/3 + 475*d**2 + 178*d + 59. Let r(q) = 43*q**2 + 190*q + 36. Let w(x) = -2*o(x) + 11*r(x). Factor w(t).
5*(t + 4)*(9*t + 2)
Factor 3*q**2 - 110*q + q**2 + 193*q - 1462 + 293*q + 298.
4*(q - 3)*(q + 97)
Suppose -360 + 858/7*g + 3/7*g**4 + 204/7*g**3 + 1455/7*g**2 = 0. Calculate g.
-60, -7, -2, 1
Let n be 18 + -2 - 41/((