15)*(-20)/h. Determine x, given that i*x**2 + 2*x**3 + 0*x + 0 + 10/7*x**4 = 0.
-1, -2/5, 0
Let d be 2 + 2 + (-5 - -2). Let o be (-14)/(-7) - (-1 + d). Factor 20*s**2 + 3 - 4 - 18*s**o - s**4.
-(s - 1)**2*(s + 1)**2
Factor -4107/7 - 3/7*p**2 - 222/7*p.
-3*(p + 37)**2/7
Let s(u) = 2*u**2 - 23*u - 27. Let a(q) = q**2 - q. Let i(d) = -5*a(d) + s(d). Solve i(r) = 0 for r.
-3
Let j(q) be the third derivative of -q**8/336 - q**7/35 - q**6/10 - q**5/6 - q**4/8 - 57*q**2. Find d such that j(d) = 0.
-3, -1, 0
What is w in -4/5*w**2 + 12/5*w**4 - 8/5 - 16/5*w**3 + 18/5*w - 2/5*w**5 = 0?
-1, 1, 4
Let t = -16639/20 + 832. Let x(r) be the third derivative of -1/2*r**3 + 0*r + 3/8*r**4 + 7*r**2 - 3/40*r**6 + 0 + t*r**5. Factor x(v).
-3*(v - 1)*(v + 1)*(3*v - 1)
Let d = 508/17 + -19081/85. Let g = -194 - d. Factor 3/5*x**2 + 0 + 1/5*x + 1/5*x**4 + g*x**3.
x*(x + 1)**3/5
Let i(s) be the third derivative of -1/8*s**6 + 0 + 5/8*s**4 - 1/10*s**5 + s**3 - 16*s**2 + 0*s. Factor i(m).
-3*(m - 1)*(m + 1)*(5*m + 2)
Let b(a) be the first derivative of -a**6/57 - 12*a**5/95 - 6*a**4/19 - 20*a**3/57 - 3*a**2/19 - 88. Factor b(m).
-2*m*(m + 1)**3*(m + 3)/19
Let u = -8/117 + -224/1287. Let w = u - -85/33. What is c in -w*c**3 + 0 + 2/3*c + 5/3*c**2 = 0?
-2/7, 0, 1
Suppose -3*m - 46 + 52 = 0. Let i be (-14)/(-6) - (-1)/(-3). What is a in 2*a - a + m*a**i + a - 4 = 0?
-2, 1
Let h(v) be the third derivative of -v**6/160 + v**5/80 + 5*v**4/16 + v**3 + 636*v**2. Factor h(m).
-3*(m - 4)*(m + 1)*(m + 2)/4
Let f(r) be the first derivative of -r**3/7 + 3*r/7 - 18. Factor f(v).
-3*(v - 1)*(v + 1)/7
Let w be (-36197)/(-25855)*(6/(-28))/((-3)/16). Solve 4/5*r**2 + 4/5*r - w = 0.
-2, 1
Suppose c + 4*t = 30 + 71, -290 = -3*c + t. Suppose c = 20*n + 37. Factor 1/7*f - 3/7 - 1/7*f**n + 3/7*f**2.
-(f - 3)*(f - 1)*(f + 1)/7
Let n(m) be the third derivative of -m**7/189 + 2*m**6/135 + 2*m**5/135 + 2*m**2 + 210. Factor n(o).
-2*o**2*(o - 2)*(5*o + 2)/9
Suppose -4*h - 2*q + 124 = -q, -h + 5*q + 10 = 0. Let r be (-3*6/(-27))/(40/h). Find x such that 0 + 0*x**2 + r*x**5 + 0*x + 0*x**3 - 1/2*x**4 = 0.
0, 1
Let k(z) be the first derivative of z**7/70 + z**6/8 - 3*z**5/10 + 17*z**2/2 + 12. Let f(i) be the second derivative of k(i). Suppose f(j) = 0. What is j?
-6, 0, 1
Let 1/5*c**2 - 396/5 + 1/5*c**3 - 96/5*c = 0. What is c?
-6, 11
Let l = 33 + -37. Let k be (4618/l)/(5/(-10)). Let 717*x**4 - k*x**4 - 14 - 66 + 5080*x**3 - 4933*x**4 + 1160*x**2 - 400*x - 10125*x**5 = 0. Calculate x.
-1, -2/9, 2/5
Let a(f) be the third derivative of f**6/960 - 3*f**5/160 + f**4/8 - f**3/3 + 7*f**2 - 3. Find k, given that a(k) = 0.
1, 4
Let p be (-1)/5 + 2/(-20)*-62. Suppose 0 = 5*t - 3*t. Factor 8 - p*r**2 + t*r**3 - r**3 - r**3.
-2*(r - 1)*(r + 2)**2
Let c = 6813145/2088 + -3263. Let l = 31327/14616 - c. Find n, given that -6/7*n + 0 + l*n**3 - 9/7*n**2 = 0.
-2/5, 0, 1
Let b(x) be the third derivative of x**6/40 - 9*x**5/10 + 12*x**4 - 64*x**3 + 78*x**2. Factor b(h).
3*(h - 8)**2*(h - 2)
Let c = 294 - 2644/9. Find s, given that 4/9*s - 2/3 + c*s**2 = 0.
-3, 1
Let v = -16 - -13. Let b = -1 - v. Let 4*g - 2*g**2 - 2*g**2 + 3*g**2 + 3*g**b = 0. Calculate g.
-2, 0
Let n(y) be the first derivative of y**4/2 - 16*y**3/3 - 12*y**2 + 288*y - 102. Factor n(b).
2*(b - 6)**2*(b + 4)
Let i(r) be the second derivative of -25*r**7/63 - 46*r**6/9 - 326*r**5/15 - 1444*r**4/45 - 1024*r**3/45 - 128*r**2/15 + 80*r. Factor i(g).
-2*(g + 4)**2*(5*g + 2)**3/15
Let l(z) be the first derivative of 4*z**5/15 - 5*z**4/6 + 2*z**3/3 + z**2/2 + 1. Let g(a) be the second derivative of l(a). Factor g(p).
4*(p - 1)*(4*p - 1)
Let j(n) = -n**3 - n**2 - n. Let t(g) = 10*g**3 + g**2 + 22*g. Let h(m) = 22*j(m) + 2*t(m). Find v such that h(v) = 0.
-11, 0, 1
Let l(u) = 11*u**3 + 17*u**2 - 7*u - 13. Let o be 2*(-6 + 6 - (0 - -2)). Let a(v) = -87*v**3 - 135*v**2 + 57*v + 105. Let k(n) = o*a(n) - 33*l(n). Factor k(c).
-3*(c + 1)**2*(5*c - 3)
Let j be (((-15)/(-25))/((-891)/110))/((-4)/2028). Factor j + 2/9*u**2 + 52/9*u.
2*(u + 13)**2/9
Let x = 217 + 17. Let b = x - 2104/9. Factor -2/9*p + b*p**2 + 0.
2*p*(p - 1)/9
Let t(x) be the second derivative of -x**4/3 + 18*x**3 - 52*x**2 + 293*x. Let t(c) = 0. What is c?
1, 26
Suppose 3*p - 4*j = 2*p + 10, p = j + 4. Suppose -3*y**p + 3*y**4 + 44*y**3 - 44*y**3 = 0. What is y?
-1, 0, 1
Let v = 19 - 7. Find y such that -y**2 + 2 + 8*y**2 + v*y - 6 = 0.
-2, 2/7
Let b(s) be the first derivative of s**6/3960 - s**5/1320 + 43*s**3/3 - 9. Let m(j) be the third derivative of b(j). Factor m(d).
d*(d - 1)/11
Let k(a) be the second derivative of -1/24*a**3 - 1/48*a**4 + 0 + 1/4*a**2 - 37*a. Factor k(m).
-(m - 1)*(m + 2)/4
Let o(t) = 6*t**3 + 17*t**2 + t. Let j(w) = -w**2 - w. Let d be ((-14)/(-84))/((-2)/(-12)). Let s be d*19 - (-8 - -9). Let z(c) = s*j(c) + 2*o(c). Factor z(m).
4*m*(m + 2)*(3*m - 2)
Let d(p) be the first derivative of -p**4/16 + p**3/2 + 7*p**2/8 - 349. Factor d(h).
-h*(h - 7)*(h + 1)/4
Let i(l) be the third derivative of l**7/630 + 3*l**3/2 - 14*l**2. Let n(u) be the first derivative of i(u). Determine v so that n(v) = 0.
0
Factor -1/4*x**2 - 39/4*x + 0.
-x*(x + 39)/4
Suppose -q + z + 46 = 3*q, -2*q + 2*z = -20. Suppose -q = a + 4*g, 0 = -4*g + 3*g - 4. Factor -9*k**2 - 8*k - 5*k + 6 - 3*k + 15*k**2 + a*k**3.
2*(k - 1)*(k + 3)*(2*k - 1)
Factor 3*w + 15 - 15/4*w**2 - 3/4*w**3.
-3*(w - 2)*(w + 2)*(w + 5)/4
Let s = 12769/8510 - 2/4255. Factor 3/2*h**2 + 0 + 9/2*h**4 - s*h + 15/2*h**3.
3*h*(h + 1)**2*(3*h - 1)/2
Factor -4/5*w**2 - 744/5*w - 34596/5.
-4*(w + 93)**2/5
Factor -4*m**3 + 10*m**2 + 80 - 23*m**2 - 44*m - 12*m**2 - 7*m**2.
-4*(m - 1)*(m + 4)*(m + 5)
Let a(p) be the first derivative of p**3/3 - 11*p**2/2 - 412. Factor a(z).
z*(z - 11)
Suppose 0 = -3*c - 0*c + 6. Suppose -69 + 19 = -c*k. Suppose 16*h**3 + h**2 - k*h**3 + 10*h**3 = 0. What is h?
-1, 0
Let v(x) = x**3 + 2*x**2 - 3*x + 2. Let l be v(-3). Suppose -31*t + 21*t + 40 = 0. Factor 2/3*n**3 - 1/3*n + 1/3*n**t - 1/3*n**5 + 1/3 - 2/3*n**l.
-(n - 1)**3*(n + 1)**2/3
Let y(u) = u**2 + 5*u - 10. Let c be y(-7). Factor -2*k**c - 2*k**2 + 2*k**3 - k - 7*k + 9*k**2 + 5*k**2 - 16.
-2*(k - 2)**2*(k + 1)*(k + 2)
Let z(p) = -p**3 + 5*p**2 + 4. Let o be z(5). Suppose 4*j + 12 = 0, 4*h + 5*j = 3*j + 2. Factor -o*s**h + 5*s**2 - 10 - s + 8.
(s - 2)*(s + 1)
Let k = 15 - 8. Suppose k*o - 4*o - 24 = 0. Suppose -15 - 2*q**2 + 0*q**2 + 7 + o*q = 0. Calculate q.
2
Find z, given that 4/5*z - 4/5*z**2 + 16/5 - 1/5*z**3 = 0.
-4, -2, 2
Let z(i) be the second derivative of i**6/10 + 27*i**5/4 + 11*i**4 - 2*i - 48. Factor z(p).
3*p**2*(p + 1)*(p + 44)
Let r(a) be the third derivative of -a**5/15 - 9*a**4 - 486*a**3 + 6*a**2 + 7*a. Factor r(j).
-4*(j + 27)**2
Let y(i) be the third derivative of 1/2*i**4 + 0*i - 21*i**2 + 1/5*i**5 + 0 + 1/40*i**6 + 0*i**3. What is l in y(l) = 0?
-2, 0
Let c(j) be the second derivative of j**6/480 - j**5/120 + j**4/96 + 5*j**2/2 + j. Let z(w) be the first derivative of c(w). Factor z(l).
l*(l - 1)**2/4
Let c = -206/3 - -827/12. Let z(s) be the first derivative of -1/12*s**3 - c*s**2 - 1/4*s - 8. Factor z(a).
-(a + 1)**2/4
Let b(w) be the second derivative of w**5/90 - w**4/54 - 5*w**3/27 - w**2/3 - 3*w + 11. Factor b(h).
2*(h - 3)*(h + 1)**2/9
Let u = 3 + -3. Let q be 3/7*(-285)/171 + 1. Factor u*x + 0 + 2/7*x**3 - q*x**2.
2*x**2*(x - 1)/7
Suppose 3*c = -5*s - 22, c + 8*s - 3*s = -4. Let q be (c/7)/(6/(-4)). Solve 0 + 9/7*f**3 + 0*f - q*f**2 = 0.
0, 2/3
Let f = 1051 - 2021/2. Solve -f*n**3 + 6 - 55/2*n**4 + 25/2*n**5 + 28*n + 43/2*n**2 = 0 for n.
-1, -2/5, 1, 3
Let g(r) be the first derivative of 26 + 1/50*r**5 + 0*r - 1/20*r**2 + 1/40*r**4 - 1/30*r**3. Determine s so that g(s) = 0.
-1, 0, 1
Let t(m) = -8*m**3 - 71*m**2 + 2*m + 68. Let x(q) = 7*q**3 + 69*q**2 - 3*q - 67. Let h(g) = -2*t(g) - 3*x(g). Determine i, given that h(i) = 0.
-13, -1, 1
Let s(j) be the second derivative of j**7/15120 + j**6/240 + 9*j**5/80 + 3*j**4/4 - 2*j. Let w(k) be the third derivative of s(k). Factor w(y).
(y + 9)**2/6
Let a(m) be the second derivative of m**6/30 + 2*m**5/5 + 17*m**4/12 + 5*m**3/3 - 190*m. Find f such that a(f) = 0.
-5, -2, -1, 0
Suppose -l + 1 + 4 = 0. Let u be 5 - 0 - (-16)/(-8). Suppose 15*k + 7*k**5 - 6 + 3*k**2 - 21*k**3 - u*k**l + 2*k**