n) = a*y(n) - 2*s(n). Factor p(u).
2*(u - 1)**3
Let u(o) be the third derivative of 0 - 25/6*o**3 - 5*o**2 + 1/12*o**5 + 5/6*o**4 + 0*o. Factor u(j).
5*(j - 1)*(j + 5)
Let d(g) be the second derivative of g**6/50 - 9*g**5/100 + 3*g**4/20 - g**3/10 + g + 56. Solve d(c) = 0 for c.
0, 1
Suppose -4*r - 4 = 3*x, 4 = 5*x - 8*r + 4*r. Suppose 7*s - 10*s = x. Determine h, given that 2/5*h**5 - 4/5*h**4 + 0*h - 2/5*h**3 + 4/5*h**2 + s = 0.
-1, 0, 1, 2
Factor -34/5 - 66/5*q - 6*q**2 + 2/5*q**3.
2*(q - 17)*(q + 1)**2/5
Let n(k) be the second derivative of 0 - 5/12*k**4 - 43*k + 10/3*k**3 + 0*k**2. Factor n(t).
-5*t*(t - 4)
Let w be (-9)/1*(-1)/3. Suppose -7 = -5*y + w. Let -4*v**y + 15*v - 3*v + 2 - 10 = 0. Calculate v.
1, 2
Let f = 6608/3 + -2196. Factor -12*q + f - 8/3*q**2.
-4*(q + 5)*(2*q - 1)/3
Let n(y) be the second derivative of -y**6/3420 - y**5/1140 + 13*y**3/6 - 17*y. Let l(c) be the second derivative of n(c). Factor l(r).
-2*r*(r + 1)/19
Let v = -5689/7 + 813. What is t in 4/7 + v*t - 2/7*t**2 = 0?
-1, 2
Factor 5*l**5 - 2417*l**2 + 0*l**5 + 8*l**3 + 20*l - 23*l**3 + 10*l**4 + 2397*l**2.
5*l*(l - 1)**2*(l + 2)**2
Suppose 10/7*o**2 + 0 + 2*o**3 - 4/7*o = 0. What is o?
-1, 0, 2/7
Let q(r) be the second derivative of -r**7/42 + r**5/12 + 11*r**2/2 + 22*r. Let p(a) be the first derivative of q(a). Determine f so that p(f) = 0.
-1, 0, 1
Let a(p) = -8*p + 33. Let z be a(4). Factor -21*m**3 + 3 + z + 8*m**3 - 4*m**2 - 2*m + 15*m**3.
2*(m - 2)*(m - 1)*(m + 1)
Let r(z) be the first derivative of -z**4/16 + z**3/3 - 5*z**2/8 + z/2 - 114. Let r(p) = 0. What is p?
1, 2
Let v = 911 + -914. Let p(c) = 13 + 25*c - 3*c**3 + 2*c**3 + 14*c**2 + 8*c**3. Let d(a) = 4*a**3 + 7*a**2 + 12*a + 6. Let b(o) = v*p(o) + 5*d(o). Factor b(f).
-(f + 1)*(f + 3)**2
Let t = 1058/77 + -3847/308. Factor -7/4*l**2 + 1/4*l**3 - t + 11/4*l.
(l - 5)*(l - 1)**2/4
Determine x, given that -9*x**2 + 4*x**2 + 24*x + 3*x**3 + x**3 - 15*x**2 = 0.
0, 2, 3
Let l(z) = -14*z**2 - 86*z - 10. Let x(h) = -1. Let a(p) = -l(p) - 2*x(p). Factor a(f).
2*(f + 6)*(7*f + 1)
Let q(l) be the first derivative of l**6/33 + 2*l**5/55 - 9*l**4/22 + 2*l**3/3 - 4*l**2/11 + 7. Let q(o) = 0. What is o?
-4, 0, 1
Let z(v) = 3*v**4 + v**3 - v**2 - 1. Let k(t) = t**5 - 16*t**4 - 42*t**3 + 92*t**2 - 77*t + 30. Let f(a) = k(a) + 6*z(a). Factor f(o).
(o - 3)*(o - 1)**3*(o + 8)
Let y(b) be the first derivative of 2*b**3/27 + 10*b**2/9 + 14*b/3 + 46. Determine l so that y(l) = 0.
-7, -3
Let c(a) = -10*a**2 + 171*a - 87. Let o(q) = -10*q**2 + 169*q - 88. Let i(u) = 3*c(u) - 2*o(u). Factor i(k).
-5*(k - 17)*(2*k - 1)
Let i(t) be the first derivative of 3*t**5/50 - t**4/10 - t**3/5 + 3*t**2/5 + 13*t + 3. Let w(x) be the first derivative of i(x). Factor w(v).
6*(v - 1)**2*(v + 1)/5
Let y be (-4 + 13)/(-1) + 910/98. Factor -y*a + 2/7*a**3 + 2/7*a**4 + 0 - 2/7*a**2.
2*a*(a - 1)*(a + 1)**2/7
Determine l, given that -5*l**3 + 28*l**2 + 20*l**2 + 11*l**2 - 9*l**2 - 106*l + 100 - 39*l = 0.
1, 4, 5
Let a(b) be the second derivative of 2/15*b**4 + 5*b - 1/75*b**5 - 3*b**2 - 2/5*b**3 + 0. Let n(g) be the first derivative of a(g). Factor n(k).
-4*(k - 3)*(k - 1)/5
Let t(v) be the third derivative of v**6/720 - 7*v**5/24 + 1225*v**4/48 - 42875*v**3/36 - 34*v**2. Determine a so that t(a) = 0.
35
Let b(v) be the third derivative of v**9/1008 + v**8/140 + 3*v**7/280 + 10*v**3/3 + 44*v**2. Let t(g) be the first derivative of b(g). Factor t(j).
3*j**3*(j + 1)*(j + 3)
Let k be (-69)/(-230)*(-4)/(-6). Let m(p) be the second derivative of -p**3 + 1/21*p**7 + 0 - p**2 - 2*p - 1/3*p**4 + 1/5*p**5 + k*p**6. Factor m(f).
2*(f - 1)*(f + 1)**4
Let x = -42/149 + 890/1043. Factor x*k - 4/7*k**3 - 4/7*k**2 + 4/7.
-4*(k - 1)*(k + 1)**2/7
Let v be ((-225)/(-15) + -17)*1/(-8). Find k such that 0 + 1/2*k - 1/4*k**3 + v*k**2 = 0.
-1, 0, 2
Suppose -4*w = -3*x + 7, -2*w - 24 = x - 33. Factor 0 + 2/7*c - 4/7*c**w + 2/7*c**3.
2*c*(c - 1)**2/7
Suppose 86 = 5*m - 2*l + l, -5*m - 3*l + 102 = 0. Let c = -16 + m. Suppose -5*t**c + 0*t**3 - 4*t**3 - 3*t**2 = 0. Calculate t.
-2, 0
Let v be -2 + (6 - (0 - -2)). Let s(n) = -11*n**3 + 17*n**2 - 8*n. Let r(b) = -60*b**2 + 22*b + 34*b**3 + 8*b**2 + 3*b. Let y(k) = v*r(k) + 7*s(k). Factor y(q).
-3*q*(q - 1)*(3*q - 2)
Suppose -27 - 3*s**2 + 5*s - 15*s - 12*s + 4*s = 0. Calculate s.
-3
Let v(b) be the first derivative of -b**5/80 + 27*b**2/2 + 19. Let m(y) be the second derivative of v(y). Solve m(d) = 0 for d.
0
Let f(y) be the second derivative of y**4/66 - 5*y**3/33 - 6*y**2/11 + 23*y. Factor f(x).
2*(x - 6)*(x + 1)/11
Let t(d) be the first derivative of 8*d**6/5 + 24*d**5/25 - 21*d**4/20 + d**3/5 - 86. Factor t(k).
3*k**2*(k + 1)*(4*k - 1)**2/5
Let s(l) be the first derivative of 10*l**3/39 + 97*l**2/13 + 76*l/13 + 184. Factor s(a).
2*(a + 19)*(5*a + 2)/13
Let t(k) = 3*k**2 + 16*k - 3. Let b be t(-6). Let w(o) be the first derivative of -1/12*o**3 + 1/8*o**2 + 0*o + b. Factor w(c).
-c*(c - 1)/4
Let o be (-3 - (-14)/8)*-8. Let x(r) = -r**2 + 14*r - 40. Let n be x(o). Factor -6/7*c + 9/7*c**2 - 3/7*c**3 + n.
-3*c*(c - 2)*(c - 1)/7
Let f be (-308)/(-33) - (3 - -6). Find o, given that -f*o**2 - 10/3*o - 25/3 = 0.
-5
Let a be (-11)/(770/(-20)) - 40/(-154). Let -6/11*s**2 + a*s + 2/11*s**3 - 2/11 = 0. Calculate s.
1
Let y be (-8)/(1 - 46*3/126). What is g in 10 - 683*g**3 - 6 + y*g**2 - 20 + 104*g - 983*g**3 + 2744*g**4 = 0?
-1/4, 2/7
Let c = -163 + 167. Let w(f) be the second derivative of 0 + 0*f**2 + 1/27*f**3 - 1/27*f**c - 8*f + 1/90*f**5. Factor w(l).
2*l*(l - 1)**2/9
Suppose 2*m = m + 5. Factor 6*s - 42*s**5 - 4*s**4 + 4*s**2 + 2*s - 12*s**3 + 46*s**m.
4*s*(s - 2)*(s - 1)*(s + 1)**2
Factor -104/15*g**2 + 202/15*g - 20/3 + 2/15*g**3.
2*(g - 50)*(g - 1)**2/15
Let q(u) be the third derivative of -u**7/126 + u**6/80 + 11*u**5/360 - u**4/16 - u**3/36 - 218*u**2. Let q(y) = 0. What is y?
-1, -1/10, 1
Let j(h) = 3*h**2 + 2*h - 1. Let o be j(1). Find q such that -3*q**5 - 54*q - 70*q**4 + 52*q**3 + 5*q**5 + 54 - 36*q**2 + 52*q**o + 0*q**5 = 0.
-1, 1, 3
Let 1 - 6*q + 29/4*q**2 + 21/4*q**3 = 0. Calculate q.
-2, 2/7, 1/3
Let w be ((-44)/16)/((-4)/708*3). Let q = w + -162. Factor -q*y**2 - 1/4 + 1/2*y.
-(y - 1)**2/4
Let o(b) be the first derivative of 57/14*b**4 + 12/7*b**2 - 25/7*b**3 - 12/5*b**5 - 18 + 4/7*b**6 - 3/7*b. Factor o(y).
3*(y - 1)**2*(2*y - 1)**3/7
Suppose 51 + 14*t**2 - 17*t**2 + 25 - 3*t - 16 = 0. Calculate t.
-5, 4
Let o(u) be the first derivative of -u**5/45 - 5*u**4/18 - 8*u**3/9 - 11*u**2/9 - 7*u/9 + 125. Factor o(d).
-(d + 1)**3*(d + 7)/9
Let m(u) be the third derivative of u**7/840 - u**6/96 + u**5/60 + u**2 - 50*u. What is a in m(a) = 0?
0, 1, 4
Let v be ((6/(-18)*3)/(-7))/((-20)/(-28)). Factor 0 + 0*a**2 - 3/5*a**3 + v*a**4 + 4/5*a.
a*(a - 2)**2*(a + 1)/5
Suppose -3*k - 5*n + 86 = 0, -5*k - 12*n = -7*n - 130. Suppose -k - 42 = -16*h. Factor 1/2*f**h + 0 + 3/2*f**3 + 0*f**2 - 2*f.
f*(f - 1)*(f + 2)**2/2
Factor 70/9 - 2/3*m**2 + 208/9*m.
-2*(m - 35)*(3*m + 1)/9
Factor -39*m**3 + 36*m + 33*m**2 + 69*m**3 - 33*m**3.
-3*m*(m - 12)*(m + 1)
Suppose 5*q - 30 = -3*r, -q + 3*r + r + 6 = 0. Let s(v) be the first derivative of -5*v**3 - 4*v**2 + q - 3*v**3 - 4 + 4*v**3. Factor s(p).
-4*p*(3*p + 2)
Let y(j) be the first derivative of -5*j**4/12 + 10*j**3/3 - 10*j**2 + 10*j - 2. Let p(m) be the first derivative of y(m). Find t such that p(t) = 0.
2
Factor -224*y - 2*y**5 + 96 + 208*y**2 - 161*y**3 - 35*y**3 + 22*y**4 + 100*y**3.
-2*(y - 3)*(y - 2)**4
Let q(k) be the third derivative of k**8/840 + k**7/525 - k**6/30 - k**5/15 + 3*k**4/20 + 3*k**3/5 + 514*k**2. Let q(s) = 0. What is s?
-3, -1, 1, 3
Suppose -76 = 15*a - 1. Let k(h) = 2*h**2 + 10*h + 2. Let o be k(a). Factor 2/5*x**o + 8/5*x**3 + 0 + 0*x.
2*x**2*(4*x + 1)/5
Suppose -31/7*t**3 + 6/7*t**2 + 12/7*t**4 + 5/7*t**5 + 0 + 8/7*t = 0. What is t?
-4, -2/5, 0, 1
Solve -80*i - 5*i**3 + 9 + 38 - 15 + 66*i**2 - 15*i**3 + 2*i**4 = 0.
1, 4
Let j be ((-1593)/(-177))/(-6*12/(-9)). Factor -3/4 + 3/4*b**2 - j*b.
3*(b - 2)*(2*b + 1)/8
Let i(y) be the third derivative of -1/3*y**4 + 0 + 1/35*y**7 + 0*y**3 - 1/168*y**8 - 1/10*y**5 - 28*y**2 + 0*y + 1/12*y**6. Find f such that i(f) = 0.
-1, 0, 1, 4
Let q(w) be the third derivative of 0*w**3 - 5*w**2 + 0*w + 0*w**4 - 1/510*w**6 - 11