alculate q.
-1, 0
Factor 0 + 15*v + 3*v**2 - 15/4*v**3 - 3/4*v**4.
-3*v*(v - 2)*(v + 2)*(v + 5)/4
Let y(p) be the second derivative of -p**4/6 - 47*p**3/3 - 46*p**2 - 84*p - 3. Determine l so that y(l) = 0.
-46, -1
Let d(l) be the second derivative of -1/30*l**6 + 1/5*l**5 - 10*l + 2*l**2 + 0 - 1/4*l**4 - 2/3*l**3. Solve d(u) = 0 for u.
-1, 1, 2
Let z(t) = 8*t**3 + 12*t**2 - 4. Let y(j) be the second derivative of -j**5/20 - j**4/12 + j**2/2 + 3*j. Let w(k) = 4*y(k) + z(k). Determine s so that w(s) = 0.
-2, 0
Let y = 32 - 26. Let k(n) be the first derivative of 6/5*n**5 - 3/2*n**2 + 0*n**4 + 1 + 1/2*n**y + 0*n - 2*n**3. Determine f so that k(f) = 0.
-1, 0, 1
Let k(b) = -2*b**5 + 6*b**4 + 30*b**3 + 49*b**2 + 36*b + 6. Let o(d) = d**5 + d**4 - d**2 - d + 1. Let v(s) = 2*k(s) + 6*o(s). Find g such that v(g) = 0.
-3, -1
Suppose -3*b + 7 - 19 = 0, 0 = -h + 2*b + 24. Factor h + 15*t + 41*t**3 + 12*t**2 + 9*t - 39*t**3.
2*(t + 2)**3
Factor -9*m**3 - 18*m + 3*m**4 + 0*m**3 - 11*m - 3*m**2 + 38*m.
3*m*(m - 3)*(m - 1)*(m + 1)
Let g(d) be the first derivative of -4*d**3/21 + 72*d**2/7 - 1296*d/7 + 82. Factor g(p).
-4*(p - 18)**2/7
Let b be (-2)/1*(27/(-2))/3. Factor -22*g + 10*g**2 - 10*g**3 + 10 - b*g**3 + 57*g + 4*g**3.
-5*(g - 2)*(g + 1)*(3*g + 1)
Suppose 81*v - 321 = -78. Factor 2/5*h**5 + 2/5*h**4 + 0 + 0*h + 0*h**2 + 0*h**v.
2*h**4*(h + 1)/5
Let b(j) = 3*j**2 + 19*j + 28. Let p(x) = -x**2 - 6*x - 8. Let l(n) = 2*b(n) + 7*p(n). Find k such that l(k) = 0.
-4, 0
Let d(l) be the second derivative of -49*l**5/20 - 238*l**4/3 + 278*l**3/3 - 40*l**2 - l + 51. Determine f so that d(f) = 0.
-20, 2/7
Let l = -10 + 12. Let -r**2 - 38*r + 5*r**l + 45*r - 2 = 0. What is r?
-2, 1/4
Factor -224/5*x + 44 + 59/5*x**2 - 1/5*x**3.
-(x - 55)*(x - 2)**2/5
Let b(d) = -2*d**2 - 23*d - 6. Let s be b(-11). Determine j so that 2*j + 33*j - s*j - 25 - 5*j**2 = 0.
1, 5
What is h in -14/9*h**2 + 0 + 2/9*h**4 + 8/9*h**3 - 20/9*h = 0?
-5, -1, 0, 2
Let 2*l**2 - 6*l + 21002 - 15*l + l**2 - 20972 = 0. Calculate l.
2, 5
Let t(v) be the second derivative of -v**7/63 - 2*v**6/15 - 4*v**5/15 + 8*v**4/9 + 16*v**3/3 + 32*v**2/3 - v + 14. Determine x, given that t(x) = 0.
-2, 2
Find d, given that 3*d**2 + 436*d**4 + 56*d - 19*d**2 - 17*d**2 + 16*d**3 - 24 - 438*d**4 - 13*d**2 = 0.
1, 2, 3
Let 864/7*f + 0 - 4/7*f**4 - 432/7*f**2 + 72/7*f**3 = 0. Calculate f.
0, 6
Let o(f) be the second derivative of 3*f**5/20 - 3*f**4/4 - 13*f**3/2 + 45*f**2/2 - 110*f - 1. Solve o(g) = 0.
-3, 1, 5
Let q be 8 - 6 - (0 - 0). Factor 3*h + 2*h**2 - 9*h - 2*h**2 + 3*h**q.
3*h*(h - 2)
Suppose 47*u = 15*u + 160. Let g(s) be the second derivative of -1/120*s**u + 0*s**3 - 1/36*s**4 + 0*s**2 + 0 + 3*s. Factor g(m).
-m**2*(m + 2)/6
Let s(i) = -8*i**3 + 5*i**2 + 7*i. Let q(w) = -19*w**3 + 9*w**2 + 14*w. Let t(c) = -6*q(c) + 14*s(c). Factor t(m).
2*m*(m + 1)*(m + 7)
Let a = -84317/332 + -314/83. Let c = a - -260. Factor c*l**3 + 0*l + 0 + 3/4*l**2.
3*l**2*(3*l + 1)/4
Let k(g) be the second derivative of g**6/3 - g**5/4 - 5*g**4/12 + g + 11. Factor k(q).
5*q**2*(q - 1)*(2*q + 1)
Let a be (-2 - 3)*(-2)/5. Factor -1 - 5*r + 2*r**3 + 10*r**a - 5*r**4 - 4 - r**5 - 4*r**5 + 8*r**3.
-5*(r - 1)**2*(r + 1)**3
Let i(q) be the third derivative of 0 + 2/9*q**3 - 10*q**2 + 1/90*q**5 + 0*q - 1/12*q**4. Determine k so that i(k) = 0.
1, 2
Suppose 16*s + 11*s - 40 - 14 = 0. Factor -1/2*i**3 - 3/2*i**s + 0*i + 0.
-i**2*(i + 3)/2
Let x(k) = -2*k**2 + k - 1. Let v(d) = -22*d**2 - 32*d + 30. Let o(w) = -v(w) + 12*x(w). Determine z so that o(z) = 0.
1, 21
Let m = 55 + 105. Let y = -157 + m. Let -2/7*p - 2/7*p**2 + 0 + 4/7*p**y = 0. What is p?
-1/2, 0, 1
Let c(o) be the second derivative of 0 + 1/18*o**4 - 13*o - 1/3*o**3 + 0*o**2. Factor c(y).
2*y*(y - 3)/3
Let s(t) be the second derivative of 5/6*t**4 - 2/5*t**6 - 9/14*t**7 - 29*t - 13/6*t**3 + 2*t**5 + t**2 + 0. Solve s(k) = 0.
-1, 2/9, 1/3, 1
Let j(h) be the second derivative of -7/27*h**3 - 1/54*h**4 + 8/9*h**2 + 0 - 2*h. Factor j(n).
-2*(n - 1)*(n + 8)/9
Let s be (16/36)/((-4)/(-18)). Suppose -7*d + 15 = -2*d + g, -2*d = -s*g - 6. What is b in -d*b**5 - b**5 - b**5 + 2*b**5 + 3*b**4 = 0?
0, 1
Suppose -20*d = -7*d - 39. Let r(m) be the first derivative of 10*m - 5/2*m**2 + 5 - 5*m**d. Factor r(y).
-5*(y + 1)*(3*y - 2)
Let o be (3 + -6)*(-94)/18 - 5. Find b, given that -28/3*b - o + 4/3*b**2 = 0.
-1, 8
Let g be ((-4)/(-3))/((-1)/(9/(-30))). Let a = g - -14/15. Determine j, given that a*j**2 + 0*j - 16/3*j**3 + 0 = 0.
0, 1/4
Let u be (-2)/(2*(-3)/12). Factor -12*q**3 - 1 + 9 - 8 - 8*q**2 + u*q.
-4*q*(q + 1)*(3*q - 1)
Factor -2/5*k**4 + 168/5*k - 24/5*k**3 - 44/5*k**2 - 98/5.
-2*(k - 1)**2*(k + 7)**2/5
Let c(v) be the third derivative of -v**9/3024 + v**8/448 - v**7/168 + v**6/144 + 7*v**4/12 + 13*v**2. Let x(r) be the second derivative of c(r). Factor x(t).
-5*t*(t - 1)**3
Let n = 172 + -515/3. Let y(u) be the first derivative of -1/9*u**2 + 0*u - n*u**4 - 8/45*u**5 - 8/27*u**3 + 1 - 1/27*u**6. Find t such that y(t) = 0.
-1, 0
Let k be (4072/(-15))/4 - 12/90. Let c = k + 70. Factor 2/3*i**3 - 2/3*i**c + 0 - 4/3*i.
2*i*(i - 2)*(i + 1)/3
Let u be ((-2)/4 + 210/20)/17. Let j = u - 13/51. Determine m, given that -1/3*m**2 - j*m + 0 = 0.
-1, 0
Suppose 0 = -3*g - 13*t + 14*t + 4, 18*g + t - 59 = 0. Determine r, given that -r - 4/5*r**2 - 1/5*r**g - 2/5 = 0.
-2, -1
Let y(p) be the third derivative of -7/30*p**6 - 17/2*p**4 + 0 + 8/3*p**5 + 20*p**2 - 12*p**3 + 0*p. Suppose y(q) = 0. What is q?
-2/7, 3
Let x(s) be the second derivative of 11*s**5/100 + 17*s**4/30 + 5*s**3/6 + s**2/5 - 80*s. Factor x(g).
(g + 1)*(g + 2)*(11*g + 1)/5
Let w(g) = -4*g**3 + 13*g**2 + 37*g - 5. Let h(t) = -10*t**3 + 32*t**2 + 92*t - 12. Let b(d) = 5*h(d) - 12*w(d). Factor b(o).
-2*o*(o - 4)*(o + 2)
Let w(o) be the third derivative of o**8/672 - o**7/105 - 29*o**6/240 - 7*o**5/30 + 7*o**4/12 + 8*o**3/3 + 32*o**2 + 2. Solve w(t) = 0.
-2, -1, 1, 8
Let w be ((-6)/9)/(-2*(-5)/(-45)). Suppose 13 - 1 = w*q. Let 20/3*v**2 + 8/3*v**3 - 8*v**q + 10/3*v**5 + 4/3 - 6*v = 0. What is v?
-1, 2/5, 1
Suppose 2*p - 2*x = -0 + 4, 3*p - 18 = -3*x. Let i be 6/(-8) + 15/p. Solve 0 + 4*j**2 - 4/3*j**i + 0*j = 0.
0, 3
Let a(s) be the first derivative of -2*s**2 - 9*s + 3. Let x be a(-5). Determine k so that -4 - 2*k + 7*k**4 - 8*k**3 - 3*k**4 - k + x*k = 0.
-1, 1
Determine z, given that -4*z**3 + 3 - 614*z**2 - 64*z + 642*z**2 + 17 + 28 = 0.
2, 3
Let g(v) be the second derivative of v**5/5 + v**4 + 88*v. Factor g(d).
4*d**2*(d + 3)
Let z = 2076 + -2071. Solve -13/4*l**4 - 1/4 - 3/4*l**z - 9/2*l**2 - 7/4*l - 11/2*l**3 = 0.
-1, -1/3
Let l be 6/(-21)*147/(-14). Suppose -4/3*r**l - 4/3*r**2 + 4/3*r**5 + 0*r + 0 + 4/3*r**4 = 0. What is r?
-1, 0, 1
Let t(r) = r**3 + 8*r**2 - 9*r + 22. Let f be t(-9). Suppose -f = -7*j - 1. What is o in -18/5*o**2 - 3/5*o**4 - 12/5*o**j - 3/5 - 12/5*o = 0?
-1
Let j(v) = 3*v**2 + 300*v + 6. Let y(t) = -1. Let w(r) = -j(r) - 6*y(r). Factor w(q).
-3*q*(q + 100)
Factor -60/13 + 2/13*x**3 + 82/13*x - 24/13*x**2.
2*(x - 6)*(x - 5)*(x - 1)/13
Let k(q) be the second derivative of 2*q**6/15 - 2*q**5/5 - 3*q**4 + 4*q**3/3 + 16*q**2 + 3*q + 9. What is y in k(y) = 0?
-2, -1, 1, 4
Let d(m) be the second derivative of m**8/17640 + m**7/4410 - m**5/630 - m**4/252 + 5*m**3/3 - 5*m. Let j(h) be the second derivative of d(h). Factor j(o).
2*(o - 1)*(o + 1)**3/21
Let z = 6517/3 + -2172. Determine t, given that t - z*t**3 + 0*t**2 + 2/3 = 0.
-1, 2
Let -2/3*q**2 + q**5 - 8/3*q**4 + 0 + 0*q + 7/3*q**3 = 0. Calculate q.
0, 2/3, 1
Let g = 61111/70 + -873. Let p(u) be the second derivative of 1/50*u**6 + 0*u**5 + g*u**7 + 0*u**2 + 0*u**4 + 0 + 0*u**3 - 3*u. What is c in p(c) = 0?
-1, 0
Let -39/4*l**2 + 3/2 - 115/4*l = 0. What is l?
-3, 2/39
Let g be 50/100 - ((-2)/(-4) + -2). Let p(l) be the first derivative of -5 - 4*l + g*l**4 + 0*l**3 - 4*l**2 + 4/5*l**5. Solve p(r) = 0.
-1, 1
Let 3/7*q**4 - 3/7*q + 6/7 + 3/7*q**3 - 9/7*q**2 = 0. What is q?
-2, -1, 1
Suppose j + 2*f = 3 + 5, -j + 17 = 5*f. Suppose 2*m = 3*m - 3*y - 1, j*y - 6 = -m. Factor -5*q**3 + 0*q**2 + 2*q**2 + m*q**3 - q.
-q*(q - 1)**2
Let w = -284 + 289. Let b(z) be the third derivative of -1/24*z**4 - 1/60*z**w + 0 + 6*z**2 + 1/6*z**3 + 1/120*z**6 + 0*z. Determine h, given t