rivative of 11*b**5/140 + b**4/14 - 11*b. What is s in n(s) = 0?
-6/11, 0
Determine q, given that 183*q - 24*q**3 - 2*q**4 - 2*q**4 - 219*q - 20*q**3 - 76*q**2 = 0.
-9, -1, 0
Let q(k) be the first derivative of k**6/6 + k**5 + 7*k**4/4 - k**3/3 - 4*k**2 - 4*k - 32. Solve q(f) = 0 for f.
-2, -1, 1
Let h be (-40)/(-32) + (-5)/20. Suppose 2*u + 3 + h = a, 0 = a - u - 4. Find o, given that -2/5*o**a + 2/5*o**2 + 2/5*o - 2/5*o**3 + 0 = 0.
-1, 0, 1
Let h(w) be the third derivative of -w**6/840 + 11*w**5/420 - 5*w**2 - 3. Determine r so that h(r) = 0.
0, 11
Suppose -20*w = -24*w + 8. Let g(h) be the second derivative of 0*h**w + 2/105*h**6 + 0 - 1/21*h**3 + 1/147*h**7 - 1/21*h**4 + 0*h**5 - 2*h. Factor g(z).
2*z*(z - 1)*(z + 1)**3/7
Find l, given that -11*l - 27*l**3 + l**5 + 11*l**3 + 20*l**3 + 6*l**3 - 6*l**4 + 6 = 0.
-1, 1, 2, 3
Let f(a) = -2*a**2 + 20*a - 3. Let l be f(10). Let j(p) = p**2 + 3*p + 3. Let z be j(l). Factor -6/11*u + 2/11 + 6/11*u**2 - 2/11*u**z.
-2*(u - 1)**3/11
Let u = -27 + 47. Let t be (-2)/5 - u/(-25). Let 0 + t*s**4 - 6/5*s**3 - 2/5*s + 6/5*s**2 = 0. What is s?
0, 1
Let k(q) be the second derivative of q**9/12096 + q**8/6720 - q**7/3360 - q**6/1440 - 4*q**3/3 - 8*q. Let c(w) be the second derivative of k(w). Factor c(j).
j**2*(j - 1)*(j + 1)**2/4
Let c(q) = -q**3 + 5*q**2 - 2*q - 7. Let m be c(3). Factor 8*k**3 - 242*k + k**5 + 238*k - m*k**5.
-4*k*(k - 1)**2*(k + 1)**2
Let g(n) = n**2 + 10*n - 9. Let x be g(-11). What is r in -2*r**x - 1 - 1 + 5*r**2 + 5*r + 0*r**2 = 0?
-2, 1/3
Let c be 2/(4/(-3)) - 473/(-86). Let s(q) be the third derivative of 0*q + q**2 + 7/6*q**c + 1/3*q**5 + 0 + 1/30*q**6 + 2*q**3. Factor s(g).
4*(g + 1)**2*(g + 3)
Let j(a) be the third derivative of a**6/270 + a**5/9 + a**4/2 + 22*a**3/3 + 59*a**2. Let f(s) be the first derivative of j(s). Factor f(y).
4*(y + 1)*(y + 9)/3
Let j(b) = -b**4 - 24*b**3 - 253*b**2 - 414*b - 190. Let w(g) = 2*g**4 + 47*g**3 + 506*g**2 + 827*g + 379. Let u(o) = -13*j(o) - 6*w(o). Factor u(i).
(i + 1)**2*(i + 14)**2
Let b(t) = 51*t - 1734. Let l be b(34). Find x such that -2/15*x**4 + l*x**3 + 16/15*x**2 - 32/15 + 0*x = 0.
-2, 2
Suppose -318*j = -274*j - 132. Factor 0*n + 0 + 1/6*n**j - 1/6*n**2.
n**2*(n - 1)/6
Suppose -18 = -5*b + l, 2*b - 3 = 32*l - 33*l. Let t(h) be the first derivative of -1/4*h**b - 3/2*h + 9/8*h**2 - 2. Factor t(a).
-3*(a - 2)*(a - 1)/4
Let c(z) be the first derivative of z**6/8 - 3*z**5/4 + 9*z**4/8 + z**3 - 3*z**2 - 99. Determine x, given that c(x) = 0.
-1, 0, 2
Let y(f) be the third derivative of f**8/60480 + f**7/5040 + 3*f**5/20 + f**2. Let h(m) be the third derivative of y(m). Find z such that h(z) = 0.
-3, 0
Let w(k) = -3*k - 28. Let t be w(-10). Factor -3*m**2 + 0*m**2 + 2*m**2 - 22 + 25 - t*m.
-(m - 1)*(m + 3)
Let a(d) = -3*d**3 + 17*d**2 + 43*d + 19. Let i(j) = -7*j**3 + 33*j**2 + 87*j + 37. Let b(m) = -5*a(m) + 2*i(m). Factor b(y).
(y - 21)*(y + 1)**2
Let x be 10 + -16 - (13/26)/((-1)/17). Factor 5/4*d - 5/4*d**3 + 5/2*d**2 - x.
-5*(d - 2)*(d - 1)*(d + 1)/4
Let s = 9951 - 9946. Suppose -2/9*i**s + 0*i**2 + 0*i**4 + 0 + 8/9*i**3 + 0*i = 0. Calculate i.
-2, 0, 2
Let c(m) be the first derivative of m**6/1980 + m**5/660 + m**3 - 24. Let d(r) be the third derivative of c(r). Determine k so that d(k) = 0.
-1, 0
Let k be 2/(-2*11) - (-7097)/4983. Solve -4/3 - k*f**3 + 4/3*f + f**2 + 1/3*f**4 = 0 for f.
-1, 1, 2
Let l = -6 + 11. Suppose -l = -i - 3. Factor -i*c**3 + c**5 + 11 + c - 11.
c*(c - 1)**2*(c + 1)**2
Let i(q) be the third derivative of q**8/4032 - q**7/504 + 11*q**5/30 - 2*q**2. Let y(t) be the third derivative of i(t). Solve y(h) = 0 for h.
0, 2
Determine b so that -76/3*b**2 - 4/3*b**4 + 0 - 44/3*b**3 - 12*b = 0.
-9, -1, 0
Let p(o) be the third derivative of -o**5/240 + 25*o**4/48 - 625*o**3/24 + o**2 + 62*o. Factor p(v).
-(v - 25)**2/4
Suppose 0*g - 32 = -4*g. Let j**2 - 7 + 3 + j**2 - 6*j**2 + g*j = 0. Calculate j.
1
Factor 2/3*q**2 - 2/3 + 0*q.
2*(q - 1)*(q + 1)/3
Let s be (3 - ((-5 - -2) + -161))*1. Let y = s + -167. Determine q, given that -4/11*q**2 - 8/11*q**3 + 2/11*q**5 + 4/11 + 6/11*q + y*q**4 = 0.
-1, 1, 2
Let x(h) = -3*h**3 + 45*h**2 - 231*h + 375. Let t(w) = w. Let c(b) = 6*t(b) + x(b). Factor c(o).
-3*(o - 5)**3
Factor 1/2*o**3 - 3/2 + 7/2*o - 5/2*o**2.
(o - 3)*(o - 1)**2/2
Let t be (-3)/(-9) + 144/135. Factor t*g**3 - 4/5*g**4 - 1/5*g - 2/5*g**2 + 0.
-g*(g - 1)**2*(4*g + 1)/5
Let p(l) be the first derivative of 0*l + 0*l**2 + 20 + 1/5*l**5 - l**4 + 4/3*l**3. Factor p(h).
h**2*(h - 2)**2
Let a(u) be the second derivative of -u**6/70 - 33*u**5/140 + 39*u**4/28 + 459*u**3/14 - 729*u**2/7 - 2*u - 513. Solve a(g) = 0.
-9, 1, 6
Let x(h) = 12*h - 22. Let j be x(2). Let o(t) be the first derivative of -1/12*t**3 - 1/4*t - 1/4*t**j + 6. What is w in o(w) = 0?
-1
Let -5*k**3 - 157*k - 498*k + 250*k + 90*k**2 = 0. What is k?
0, 9
Let d(g) be the second derivative of -g**5/8 + 35*g**4/12 - 25*g**3 + 90*g**2 - 8*g - 1. Suppose d(v) = 0. Calculate v.
2, 6
Let l(s) be the first derivative of 30 - 25/4*s**4 + 0*s + 0*s**2 + s**5 - 10*s**3. Factor l(f).
5*f**2*(f - 6)*(f + 1)
Let m(x) = x**3 + 4*x**2 + x + 2. Let v be m(-3). Factor 5*r**2 - r**2 - v*r**2 + 5*r**3 - 11*r**2.
5*r**2*(r - 3)
Let q = -17190 - -17193. Find u such that 6/7 + 2*u + 2/7*u**q + 10/7*u**2 = 0.
-3, -1
Let s be 411/(-2) - 1/(-2). Let a = 207 + s. Determine p, given that 12/11*p**a + 2/11*p**3 + 16/11 + 24/11*p = 0.
-2
Let s(h) be the third derivative of h**5/15 + 7*h**4/3 - 34*h**3 - 149*h**2. Let s(b) = 0. What is b?
-17, 3
Let b = -104 + 107. Factor 9*y + 1 + 6 - 13 - b*y**2.
-3*(y - 2)*(y - 1)
Suppose -4*j + 2*j + 6 = 0. Find p such that 2 + 0*p - 5 - 9*p**2 + 8*p + p + 3*p**j = 0.
1
Factor 20824*q**4 + 437*q - 3816*q**2 - 7845*q - 236*q**3 - 3452*q + 1004*q - 20828*q**4 - 6272.
-4*(q + 1)*(q + 2)*(q + 28)**2
Let j(v) be the third derivative of 0 + 1/10*v**5 - v**2 + 1/8*v**4 + 1/40*v**6 + 0*v + 0*v**3. Factor j(t).
3*t*(t + 1)**2
Suppose -31/3*t**3 - 38/3*t**2 + 14/3*t**4 + 76/3*t + 8 = 0. Calculate t.
-3/2, -2/7, 2
Let h = -18 + 21. Suppose 0*p + h*p = 9. What is w in 0*w**3 + 10*w**5 - 6*w**3 + 60*w**2 - p*w**4 - 61*w**2 = 0?
-1/2, -1/5, 0, 1
Let d(m) be the second derivative of m**6/6 + 47*m**5/4 + 785*m**4/4 - 10375*m**3/6 - 6250*m**2 + 110*m. Determine s so that d(s) = 0.
-25, -1, 4
Let o be (-2)/8 + 21/4. Let z = -49 + 52. Factor 12*d**2 + d**5 - o*d**3 + 4*d**z + d**4 - 13*d**2.
d**2*(d - 1)*(d + 1)**2
Let j = -9/4027 - 6334336/60405. Let p = j - -105. What is t in -2/15*t + p*t**3 + 4/15*t**2 - 4/15 = 0?
-2, -1, 1
Let v(n) be the first derivative of n**4/60 + n**3/30 - 7*n + 22. Let l(t) be the first derivative of v(t). Factor l(m).
m*(m + 1)/5
Let p be (-3 - -11)*(4 + 0). Factor -126*n**2 - 25*n + p*n**4 - 6 - 27*n - 33*n**3 + 0*n**3 - 15*n**3.
2*(n - 3)*(n + 1)*(4*n + 1)**2
Suppose -2*q**2 + 0*q**4 + 1/3*q**5 + 2 + 7/3*q - 8/3*q**3 = 0. Calculate q.
-2, -1, 1, 3
Let i(t) be the second derivative of t**5/170 - t**4/34 + 2*t - 24. Factor i(d).
2*d**2*(d - 3)/17
Let m(x) be the second derivative of -648*x**2 + 24*x**3 + 5*x + 1 - 1/3*x**4. What is g in m(g) = 0?
18
Let i be -4 + 8 + 51 + 0. Let f = -51 + i. Determine n, given that -8*n + 1/4*n**4 + 6*n**2 + f - 2*n**3 = 0.
2
Let u = 20534 + -20531. Let 11/5*c + 17/5*c**2 - 4/5 - 51/5*c**u + 27/5*c**4 = 0. What is c?
-4/9, 1/3, 1
Let d = 16379 - 16377. Factor 6*m + 3/4*m**d + 12.
3*(m + 4)**2/4
Let v(t) be the first derivative of -23*t**4/18 + 136*t**3/27 + t**2/3 + 253. Factor v(h).
-2*h*(h - 3)*(23*h + 1)/9
Suppose 0 = -2*v - 3*u - 208 + 217, -v = -u + 3. Solve -2/3*b**4 - 4/3*b + 0*b**3 + v + 2*b**2 = 0.
-2, 0, 1
Let t(h) be the first derivative of h**4/30 + 22*h**3/45 - 26*h**2/15 - 250. Factor t(g).
2*g*(g - 2)*(g + 13)/15
Let q(w) be the first derivative of 6*w**4 - 4*w**3/3 - 529. Factor q(y).
4*y**2*(6*y - 1)
Let t(y) = 4*y**2 + 8*y - 8. Let j be t(-3). Let h(n) be the third derivative of 2/33*n**3 + 0 + 1/330*n**5 - 1/44*n**j + 0*n + 4*n**2. Factor h(p).
2*(p - 2)*(p - 1)/11
Let w be (10 - 10)/(-3 - -4). Let x(u) be the third derivative of 0 + 1/30*u**5 + w*u + 0*u**4 - 7*u**2 - 1/3*u**3. Factor x(n).
2*(n - 1)*(n + 1)
Suppose 17/3*b**3 - 8/3 - 62/3*b + 53/3*b**2 = 0. Calculate b.
-4, -2/17, 1
Let