 second derivative of -h**4/6 - 5*h**3/3 + 208*h. Factor v(x).
-2*x*(x + 5)
Let z = -522/37 - -8948/629. Determine j, given that 0 - 4/17*j + 2/17*j**3 + z*j**2 = 0.
-2, 0, 1
Let a(x) = x**3 - 11*x**2 + 2*x - 15. Let l be a(11). Suppose 0 = 2*d + l - 17. Solve 3*i**2 - i**3 - 6*i**4 - i**3 - 2*i + 4*i**d + 3*i**2 = 0.
-1, 0, 1/2, 1
Let j be (3 - 54/14)/(3740/(-2618)). Suppose -f**3 - 1/5*f**4 + f + 4/5 - j*f**2 = 0. Calculate f.
-4, -1, 1
Let s(r) be the first derivative of 2*r**3/9 - 21*r**2/4 - 8*r/3 - 120. Factor s(o).
(o - 16)*(4*o + 1)/6
Let o = 721 - 721. What is p in 12*p**2 + o - 27*p**3 - 4/3*p = 0?
0, 2/9
Let w be (-2)/(-8) - (-8 - ((-1442)/72 - -12)). Find v, given that -26/9*v**4 - 116/9*v**3 - 50/9 - 170/9*v - 212/9*v**2 - w*v**5 = 0.
-5, -1
Factor 2*t**3 - 24*t**3 - 3*t**3 + 27*t**2 + 24*t - 10*t**3 + 4 + 15*t**3.
-(t - 2)*(4*t + 1)*(5*t + 2)
Let p(l) be the third derivative of l**8/13440 - l**6/1440 - 7*l**4/12 - 19*l**2. Let s(d) be the second derivative of p(d). Factor s(k).
k*(k - 1)*(k + 1)/2
Let d(i) = -3*i + 5. Let z(j) = -2*j + 5. Let y(g) = 3*d(g) - 4*z(g). Let h be y(-9). Factor 6*p**3 + 3*p**2 + 15*p**h + 14*p**3 + 2*p**2.
5*p**2*(p + 1)*(3*p + 1)
Let p(o) be the third derivative of o**8/168 - 8*o**7/105 + 11*o**6/30 - 4*o**5/5 + 3*o**4/4 - 6*o**2 - o. Factor p(l).
2*l*(l - 3)**2*(l - 1)**2
Let z(s) = 3*s**2 + 3*s + 3. Let a be z(-2). Determine u, given that 6*u**4 - 11*u**3 + 8*u + a*u**3 - 52*u**2 + 42*u**4 - 18*u**5 + 16 = 0.
-2/3, 1, 2
Let d(u) be the second derivative of -u**7/840 + u**5/10 - 13*u**4/12 - 13*u. Let v(x) be the third derivative of d(x). Suppose v(c) = 0. Calculate c.
-2, 2
Let y be (3 - -1) + (21 - 3). Let w be (-336)/(-88) - (-4)/y. Determine s so that 54*s**3 + 16*s + 12*s**2 + 0*s**w - 40*s - 27*s**4 = 0.
-2/3, 0, 2/3, 2
Let y(u) be the second derivative of -u**5/5 - u**4 + 20*u**3/3 - 87*u. Factor y(t).
-4*t*(t - 2)*(t + 5)
Let s(f) be the first derivative of -f**6/540 + f**5/270 + 11*f**2/2 - 28. Let t(m) be the second derivative of s(m). Factor t(p).
-2*p**2*(p - 1)/9
Let a(k) be the first derivative of 4*k**5/5 - 46*k**4 + 1924*k**3/3 + 2208*k**2 + 2304*k + 137. Determine n, given that a(n) = 0.
-1, 24
Let u be (0 - (2 + -2)) + (13 + -22)/(-3). Let -2*r**2 + 1/2*r**u + 5/2*r - 1 = 0. Calculate r.
1, 2
Let w(n) = 20 + 6 + 1 - 4 - n**3 - 8*n**2 - 4*n. Let o be w(-7). Factor c**o - 6*c**3 - c**2 - 6*c**3 - 3*c**2.
-3*c**2*(4*c + 1)
Suppose 3*u**3 - 4*u**3 - 9*u**2 - 7 + 5*u + 72*u - 92*u = 0. Calculate u.
-7, -1
Let z be (424/318)/(2/3). Solve 5/4 - 1/4*j**3 + 1/4*j - 5/4*j**z = 0 for j.
-5, -1, 1
Determine s, given that -820/7*s + 2/7*s**2 + 84050/7 = 0.
205
Factor -704*f + 2*f**4 + 169 + 221*f**2 + 23 - 480*f**3 - 1405*f**2 + 20*f**5 + 8*f**4 - 14*f**4.
4*(f - 6)*(f + 2)**3*(5*f - 1)
Let q(m) be the second derivative of -4/147*m**7 + 5*m - 27/7*m**2 + 0 - 8/7*m**5 + 36/7*m**3 + 3/7*m**4 + 11/35*m**6. Find w, given that q(w) = 0.
-1, 1/4, 3
Let b(q) be the first derivative of -q**4/4 - 252. Factor b(n).
-n**3
Let v(b) = -14*b**4 + 12*b**2 + 8*b - 6. Suppose -4*a = -5*a + 3. Let t(s) = 5*s**4 - 4*s**2 - 3*s + 2. Let x(p) = a*v(p) + 8*t(p). Factor x(z).
-2*(z - 1)**2*(z + 1)**2
Suppose -5*o + 0 + 1/5*o**4 - 49/5*o**2 - 23/5*o**3 = 0. What is o?
-1, 0, 25
Suppose -27*r - 20*r = 8*r. Factor 1/3*z**3 + 2/3*z**2 + 0 + r*z.
z**2*(z + 2)/3
Let b = 24 + -21. Suppose 12 = 9*c - 6. Suppose 0*l**b + 1/2 - l**c + 1/2*l**4 + 0*l = 0. What is l?
-1, 1
Let m = 23 + -17. Let s(u) = -u**5 + u**4 - u**3 + u + 1. Let w(o) = 8*o**5 - 4*o**4 + 4*o**3 - 2*o**2 - 6*o - 6. Let k(f) = m*s(f) + w(f). Factor k(n).
2*n**2*(n - 1)*(n + 1)**2
Let k be (-46)/8 + 484/88 - (-29)/84. Factor -8/21*r**2 + 2/7 + k*r.
-2*(r - 1)*(4*r + 3)/21
Let g(c) = -c**4 + c**3 - 1. Let t(l) = 15*l**4 - 35*l**3 + 35*l**2 + 75*l - 70. Let s(f) = 20*g(f) + t(f). Factor s(p).
-5*(p - 2)*(p - 1)*(p + 3)**2
Let -64/9*f - 2/9*f**2 - 512/9 = 0. Calculate f.
-16
Let j(l) be the third derivative of -l**6/1620 + l**5/270 + 7*l**3/6 - 17*l**2. Let h(o) be the first derivative of j(o). Determine f so that h(f) = 0.
0, 2
What is w in -33060*w + 23856*w**2 + 570*w**3 - 8191*w**2 + 16820 - 6733*w**4 + 6738*w**4 = 0?
-58, 1
Determine a so that -1/2*a**2 - 9 - 19/2*a = 0.
-18, -1
Factor -21/2*d**2 - 93*d + 207/2.
-3*(d - 1)*(7*d + 69)/2
Let i be 1/2 - 12/(-32)*4. Factor 4*o + 5*o**i - 34 + 30 - o**2 - 4*o**3.
-4*(o - 1)**2*(o + 1)
What is b in -340*b - 71/4*b**2 - 1/4*b**3 - 867 = 0?
-34, -3
Determine q so that 12*q**3 - 2*q**3 - 136*q**2 + 43*q**2 + 48*q**2 + 40*q**2 - 65*q - 30 = 0.
-2, -1/2, 3
Solve 10/13*r + 2/13*r**3 + 4/13 + 8/13*r**2 = 0.
-2, -1
Let x be ((-4)/14)/((-9)/63). Suppose 0 = -5*g - 5, 2*v + 5*g = g + 50. Factor 3*b + 3*b**x + 12*b + v - 7*b + 10*b.
3*(b + 3)**2
Find m such that -3/2*m**2 - 3/4*m + 0 - 3/4*m**3 = 0.
-1, 0
Suppose -27*b = -20*b + 91. Let k be (-2)/b - 60/(-455). Factor 1/7*i**3 + 5/7*i**5 + 0 + 8/7*i**4 + 0*i - k*i**2.
i**2*(i + 1)**2*(5*i - 2)/7
Solve 143/2*u**3 - 120*u**2 + 0 + 225/4*u + 1/4*u**5 - 8*u**4 = 0.
0, 1, 15
Let g(x) be the first derivative of x**4/4 - 11*x**3/3 + 19*x**2/2 - 9*x + 95. Let g(j) = 0. What is j?
1, 9
Let x = 129064/9 - 14336. Suppose -2/9*v**2 - 200/9 - x*v = 0. What is v?
-10
Suppose -3*y = 2*s - 4 - 19, -3*s + 35 = 5*y. Suppose 4*b**2 - 3*b**2 - 6*b**2 - 30*b + s*b = 0. Calculate b.
-4, 0
Let d be (-40)/(-8) - (-117)/(-26). Factor 0 + 1/4*p**2 + d*p.
p*(p + 2)/4
Let f(r) be the second derivative of 13*r**5/5 - 28*r**4/3 + 8*r**3/3 - 297*r. Factor f(s).
4*s*(s - 2)*(13*s - 2)
Suppose 4 + 2*h + 1/4*h**2 = 0. What is h?
-4
Determine y so that -9 - 2*y**2 - 27/2*y = 0.
-6, -3/4
Let s(t) be the first derivative of t**4/10 - 54*t**3/5 + 2187*t**2/5 - 39366*t/5 - 165. Factor s(v).
2*(v - 27)**3/5
Let y(f) = 5*f**2 + f - 3. Let p(s) = -21*s**2 - 3*s + 13. Let q(d) = -6*p(d) - 26*y(d). Find k, given that q(k) = 0.
-2, 0
Let f be 0*2/25*715/286. Factor 1/8*t**3 + 1/4*t**2 + f + 0*t.
t**2*(t + 2)/8
Let s(p) be the first derivative of p**5/5 + 13*p**4/4 + 10*p**3 - 329. Let s(z) = 0. Calculate z.
-10, -3, 0
Let w(t) be the second derivative of -16*t + 1/5*t**2 + 1/6*t**3 + 1/100*t**5 + 0 + 1/15*t**4. Solve w(d) = 0.
-2, -1
Let z(v) be the third derivative of -v**5/12 + 25*v**4/12 - 35*v**3/2 + 22*v**2. Let z(l) = 0. What is l?
3, 7
Let f(j) = 2*j**2 + 5*j + 3. Let c be f(-11). Factor 110 + c + 35*t + 2*t**2 + t**2 + 25*t.
3*(t + 10)**2
Let i(w) = -w + 4. Let f be i(2). Factor -2*a**3 + 0*a**3 - 3*a - f*a**3 - a - 8*a**2.
-4*a*(a + 1)**2
What is a in 12 + 111/2*a**2 - 57*a - 21/2*a**3 = 0?
2/7, 1, 4
Let u(i) be the third derivative of i**5/270 - 139*i**4/54 + 19321*i**3/27 - 649*i**2. Factor u(w).
2*(w - 139)**2/9
Let s(c) = -4*c**5 + 23*c**4 - 55*c**3 + 52*c**2 - 26*c. Let t(r) = -6*r**5 + 34*r**4 - 82*r**3 + 78*r**2 - 40*r. Let a(i) = -8*s(i) + 5*t(i). Factor a(b).
2*b*(b - 4)*(b - 1)**3
Let a = 40164 - 522108/13. Factor -8/13 - 18/13*y**2 - a*y.
-2*(3*y + 2)**2/13
Suppose -10*u + 3*y = -8*u, 2*u + 4*y = 0. Let p(b) be the third derivative of 0*b**4 + 1/480*b**5 - b**2 + 0*b + u*b**3 + 0. Determine f so that p(f) = 0.
0
Suppose -o = -2, 17 = 5*u + 4*o - 6. Solve 1/6*q**2 - 1/6*q**u + 1/3*q + 0 = 0.
-1, 0, 2
Let g(m) be the second derivative of -m**4/120 + m**3/4 - 14*m**2/5 + 209*m. Find b such that g(b) = 0.
7, 8
Let f = 80/171 + 176/57. Find t, given that 10/9*t**2 + 8/9 + 50/9*t**3 - f*t = 0.
-1, 2/5
Suppose 0 = -2*y - 4*n + 8, 0 = y + 2*y - n - 12. Let b(u) = 3*u**3 - 3*u - 2. Let w(a) = -4*a**3 + 4*a + 3. Let q(o) = y*w(o) + 6*b(o). Factor q(k).
2*k*(k - 1)*(k + 1)
Let x(k) be the second derivative of 32/21*k**6 - 1/7*k**3 - 89/21*k**4 + 25/21*k**7 + 0 - 86/35*k**5 + 18/7*k**2 - 23*k. Solve x(v) = 0.
-1, -3/5, 2/7, 1
Let c(p) be the first derivative of -1/84*p**4 - 3*p**2 - 1/840*p**6 - 1/140*p**5 + 0*p + 6 + 0*p**3. Let d(w) be the second derivative of c(w). Factor d(m).
-m*(m + 1)*(m + 2)/7
Let l(b) be the third derivative of -1/5*b**6 - 4/5*b**5 - 1/70*b**7 + 0*b**4 + 0 + 0*b**3 - 23*b**2 + 0*b. Factor l(w).
-3*w**2*(w + 4)**2
Let v(y) be the second derivative of -100*y**4/3 + 2*y**2 - 3*y - 16. Find m such that v(m) = 0.
-1/10, 1/10
Let t be 4227/(-10) + (-20)/25. Let i = t - -434. Find w, given