6 = k. Let w(a) = 8407*a + 109294. Let o be w(-13). Factor z**k + 3/2*z - 1/2*z**2 - 1/2 - 3/2*z**o.
(z - 1)**2*(z + 1)*(2*z - 1)/2
Let o = 113 - 106. Suppose 5*w + o*w - 24 = 0. Suppose -3/2*i**4 - 3/4*i**w + 0*i - 3/8*i**5 + 0 - 15/8*i**3 = 0. Calculate i.
-2, -1, 0
Let g(b) = -b**2 - 8*b + 2. Let l be g(-8). Let d = -8 - -14. Let 28*y + 26*y + 0 - 62*y - d - 2*y**l = 0. Calculate y.
-3, -1
Let y(k) be the first derivative of -k**7/56 + 11*k**6/90 + k**5/24 - k**4/4 + k**3/3 - 7*k**2/2 + 193. Let r(h) be the third derivative of y(h). Factor r(n).
-(n - 3)*(3*n - 1)*(5*n + 2)
What is r in -9*r**4 + 0 - 66/5*r**3 - 9/5*r**2 + 12/5*r = 0?
-1, -4/5, 0, 1/3
Let j(l) be the first derivative of 2*l**6/3 - 12*l**4 - 8*l**3/3 + 54*l**2 + 72*l + 3431. Determine k, given that j(k) = 0.
-3, -1, 2, 3
Let l(j) = -22*j**4 - 54*j**3 + 384*j**2 + 2*j + 2. Let d(c) = -56*c**4 - 107*c**3 + 768*c**2 + 5*c + 5. Let q(s) = 4*d(s) - 10*l(s). What is y in q(y) = 0?
0, 12, 16
Let k(l) = 2*l**3 + 6 + 18*l**2 + 4 - l**3 + 1. Let q be k(-18). Suppose 7*o**2 - 20*o - q*o**2 - o**2 - 11*o**2 - 8 - 4*o**3 = 0. Calculate o.
-2, -1
Let g be ((-56)/(-10))/((-16)/5 + 3). Let n be (2/(-7))/(32/g). Factor n - t**2 + 3/4*t.
-(t - 1)*(4*t + 1)/4
Let i(c) be the second derivative of c**4/60 - 113*c**3/6 + 2935*c. Determine l, given that i(l) = 0.
0, 565
Let o be ((-8)/(-6))/(7 + (-103)/15). Suppose 18 = -4*z + o*z. Factor -u + 261 + 16*u + 9*u**z + 21*u**2 - 258.
3*(u + 1)**2*(3*u + 1)
Let s(w) be the first derivative of w**8/1512 + 2*w**7/945 - w**6/180 + w**2 + w + 135. Let z(l) be the second derivative of s(l). Factor z(k).
2*k**3*(k - 1)*(k + 3)/9
Let h(p) = 19*p**2 - 7*p + 48*p**3 - 9*p + 3 + 0*p**2. Let r(s) = 26*s**2 + 96*s**3 + 6 - 10*s**2 + 23*s**2 - 33*s. Let j(b) = -9*h(b) + 5*r(b). Factor j(y).
3*(y + 1)*(4*y - 1)**2
Let b(d) = -23*d**2 + 29*d - 12. Let n(p) = -53*p**2 + 58*p - 27. Let k(x) = -10*b(x) + 4*n(x). Factor k(o).
2*(o - 3)*(9*o - 2)
Determine h so that 125/6*h - 10/3*h**3 - 145/6*h**2 + 20/3 = 0.
-8, -1/4, 1
Suppose 28 = -z + 883*t - 881*t, 0 = -3*t + 45. Factor 62/9*p + 2/9*p**z + 20/3.
2*(p + 1)*(p + 30)/9
Let x(s) = -3*s**5 + s**4 - s**3 + 2*s**2. Let q(l) = 55*l**5 - 10*l**4 + 25*l**3 - 50*l**2. Let p(u) = -q(u) - 20*x(u). Factor p(h).
5*h**2*(h - 2)*(h - 1)*(h + 1)
Let n be (-153)/(-54) + (-1)/(-6). Suppose 2*k**3 - 45*k**5 + 12 - 111*k**4 - 96*k + 171*k**2 + 12*k**n + 55*k**3 = 0. What is k?
-2, 1/5, 1/3, 1
Let x be (3 - (80/15 + -2))*-6. Suppose -31*a**2 + 56*a + 63*a**2 - 36*a**x = 0. Calculate a.
0, 14
Suppose -2*i + h = -10990, -5*i + h - 2207 = -29676. Factor 4*j**5 - i*j**2 + 5495*j**2 + 0*j**3 + 10*j**4 + 8*j**3.
2*j**2*(j + 1)**2*(2*j + 1)
Let d(h) be the third derivative of h**7/210 + 91*h**6/200 + 761*h**5/60 + 693*h**4/40 - 243*h**3/5 + 244*h**2. Solve d(b) = 0.
-27, -1, 2/5
Let v be (230/(-2070))/((-2)/90). Suppose 0 + 1/4*y + 1/4*y**v + 0*y**4 + 0*y**2 - 1/2*y**3 = 0. What is y?
-1, 0, 1
Let h be (-154)/(-90)*39880/6979. Factor 2/9*s**2 + h - 10*s.
2*(s - 44)*(s - 1)/9
Let h(p) be the first derivative of p**6/18 - 2*p**5/15 - 7*p**4/4 - 2*p**3 + 1085. Factor h(f).
f**2*(f - 6)*(f + 1)*(f + 3)/3
Let x(i) be the third derivative of -i**8/1680 - 23*i**7/525 - i**6/8 + 281*i**5/150 - 11*i**4/3 - 163*i**2 - 3. Determine p, given that x(p) = 0.
-44, -5, 0, 1, 2
Let u(m) be the second derivative of 2*m**6/15 + m**5/5 - 2*m**4 + 617*m. Solve u(t) = 0 for t.
-3, 0, 2
Let g(q) = -q**3 - 6*q**2 - 3*q + 2. Let c be g(-6). Solve c - 50 + 29*v**2 + 936*v + 6*v**3 + 10*v**2 - 897*v = 0 for v.
-5, -2, 1/2
Let i = 383 - 118. Let p be (-24)/5 - i/(-53). Determine s, given that 1/5*s - p*s**3 + 0 + 1/5*s**4 - 1/5*s**2 = 0.
-1, 0, 1
Let m = -47882 + -281548. Let b be 2/3 - (-4 + m/225). Factor -1764/5*h**2 - b*h - 4/5*h**4 - 1728/5 - 29*h**3.
-(h + 12)**3*(4*h + 1)/5
Let t(q) = -q**2 + 14*q + 1. Let h be t(11). Suppose -2*j + 5*z + h = 0, 48 = 2*j + 6*z - 4*z. Find n such that 26*n**2 - 10*n - 14 - 24*n**2 + j*n = 0.
-7, 1
Let p be 14/(14/5) + -726. Let h = p - -1451/2. Factor 9/4*z - h*z**2 + 3*z**3 - 3/8.
3*(2*z - 1)**3/8
Let x(d) be the third derivative of -197*d**2 + 1/720*d**6 + 0*d**4 + 0 - 1/36*d**5 + 0*d + 0*d**3. Factor x(n).
n**2*(n - 10)/6
Let b = 4 - 1. Let n be (-1164)/1188 - 3372/(-3091). Suppose 0 + n*i**b - 1/9*i + 0*i**2 = 0. Calculate i.
-1, 0, 1
Let o(l) = l**3 - 106*l**2 + 311*l - 209. Let v(d) = -3*d**3 + 214*d**2 - 621*d + 417. Let x(g) = -7*o(g) - 3*v(g). Factor x(p).
2*(p - 2)*(p - 1)*(p + 53)
Let p be 4/64*2 + 243/72. Factor -p*h**2 + 1/2*h**3 + 15/2*h - 9/2.
(h - 3)**2*(h - 1)/2
Let c = 0 - -2. Let l = -827 - -829. Factor 32*t + 16 - 9 - 15 - 20*t**l + 6*t**c.
-2*(t - 2)*(7*t - 2)
Let q(m) be the first derivative of m**5/4 - 20*m**4 + 1760*m**3/3 - 7680*m**2 + 46080*m + 1111. Determine j, given that q(j) = 0.
8, 24
Let x(g) be the third derivative of 0 + 1/240*g**6 + 0*g + 0*g**3 + 24*g**2 - 1/60*g**5 + 0*g**4. Factor x(m).
m**2*(m - 2)/2
Let t(f) = -f**3 - f**2 + f - 1. Let u(w) = 77583*w**3 + 1760*w - 16575*w**2 + 44342*w**3 - 8675*w**2 - 60. Let h(s) = 20*t(s) - u(s). Factor h(a).
-5*(29*a - 2)**3
Let l(c) be the third derivative of c**6/480 + 27*c**5/80 - 7*c**4/2 + 85*c**3/6 - 3*c**2 - 139*c + 6. Factor l(p).
(p - 2)**2*(p + 85)/4
Factor -12/7*h - 2/7 - 18/7*h**2.
-2*(3*h + 1)**2/7
Suppose 6*h = -3 + 27. Factor 0*o**h - 2*o**4 + 9679 - 9677 - 4*o**3 + 4*o.
-2*(o - 1)*(o + 1)**3
Let z(p) be the first derivative of 12*p**5/35 - 785*p**4/14 + 1206*p**3/7 - 1287*p**2/7 + 514*p/7 - 559. Solve z(l) = 0 for l.
1/3, 1, 257/2
Let r(g) be the third derivative of -g**7/105 - 3*g**6/4 - 7*g**5/5 + 22*g**4/3 + g**2 + 2*g + 506. Factor r(h).
-2*h*(h - 1)*(h + 2)*(h + 44)
Let w(g) be the third derivative of 11*g**6/840 + 17*g**5/60 - 11*g**4/12 + 4*g**3/7 - 2*g**2 + 37*g. Factor w(t).
(t - 1)*(t + 12)*(11*t - 2)/7
Let s be ((-10)/(-195)*423/(-47))/(9/(-78)). Solve 0*y**3 + 0 + y**s + 0*y**2 + 0*y - 1/2*y**5 = 0.
0, 2
Let u be (-1943)/(-45) + 110/495. Let h = u + -1489/35. Determine d, given that 3/7*d**3 - 3/7*d**5 + 0*d + h*d**2 - 6/7*d**4 + 0 = 0.
-2, -1, 0, 1
Let c = -19504/1365 - -4192/273. Factor c*y + 2/15*y**2 + 32/15.
2*(y + 4)**2/15
Let t(s) be the third derivative of -1083*s**6/40 - 11837*s**5/20 + 313*s**4/3 - 22*s**3/3 - 34*s**2 - 19. Factor t(p).
-(p + 11)*(57*p - 2)**2
Let y(i) be the first derivative of 4*i**6/3 - 106*i**5/5 + 241*i**4/2 - 302*i**3 + 315*i**2 - 108*i + 3572. Determine l so that y(l) = 0.
1/4, 1, 3, 6
Let y be (7 - 4856/672)/(-2). Let z = y - -3/56. Factor -w - 5/6 - z*w**2.
-(w + 1)*(w + 5)/6
Suppose 89*a + 104*a + 123 = 234*a. Determine p, given that 0 - 4/5*p**a + 16/5*p + 0*p**2 = 0.
-2, 0, 2
Determine y, given that -26*y**3 - 556*y**2 - 1/3*y**4 - 1369 - 5698/3*y = 0.
-37, -3, -1
Suppose -9*u + 14*u - 117 = 3*x, 0 = -4*x + 4. Solve 104 - 93 - 108*y**2 + 186*y - 79 + u*y**3 - 34*y**2 = 0 for y.
2/3, 1, 17/4
Let j(p) be the first derivative of -16*p**5/5 - 13*p**4 - 4*p**3/3 + 36*p**2 + 877. What is q in j(q) = 0?
-9/4, -2, 0, 1
Determine h so that 54450 - 220*h + 2/9*h**2 = 0.
495
Let y = 76 - 60. Determine z, given that -1464*z**2 + 1460*z**2 - 12 - y*z + 0 = 0.
-3, -1
Let b(w) = w**3 + 6*w**2 + 2*w + 11. Let t(x) = x - 1. Suppose 12 = -17*h + 23*h. Let i(s) = h*b(s) + 14*t(s). Let i(g) = 0. Calculate g.
-4, -1
Let z(m) be the third derivative of 1/315*m**7 + 23*m**2 + 0 + 1/180*m**6 - 2/15*m**5 + m - 7/9*m**4 - 16/9*m**3. Factor z(r).
2*(r - 4)*(r + 1)*(r + 2)**2/3
Let n(d) be the third derivative of d**8/336 + d**7/21 + 13*d**6/60 - 4*d**5/15 - 41*d**4/8 - 15*d**3 + 722*d**2. Solve n(q) = 0 for q.
-5, -3, -1, 2
Let c(u) = 2*u**2 - 400*u + 19714. Let s be c(88). Factor -2/9*l**s + 28/9 - 26/9*l.
-2*(l - 1)*(l + 14)/9
Let z(j) be the third derivative of 31*j**2 + 3/11*j**4 + 0 - 1/20*j**5 + 0*j - 8/33*j**3 + 1/330*j**6. Factor z(r).
(r - 4)**2*(4*r - 1)/11
Factor 275/6*x + 700/3 - 1/6*x**2.
-(x - 280)*(x + 5)/6
Let l be (-283 - -285)/((-13)/(-2)). Factor -2/13 - 2/13*a**2 + l*a.
-2*(a - 1)**2/13
Solve -9019*x**2 - 20 + 0*x**3 - 408*x + 2*x**3 - x**3 + 9064*x**2 + 868 = 0 for x.
-53, 4
Let u(a) be the first derivative of -11/30*a**3 + 2/5*a + 41 - 3/5*a**2 + 1/2*a**5 + 3/4*a**4. Find y such that u(y) = 0