 16*l + 7. Let a be p(16). Suppose a*b = 22 - 8. Factor -3 - 1/3*k**2 - b*k.
-(k + 3)**2/3
Let n(x) be the first derivative of -5*x**4/4 - 15*x**3 + 56. Let n(a) = 0. Calculate a.
-9, 0
Let g(k) be the first derivative of -4 + 0*k**2 - 1/4*k**3 + 0*k. Suppose g(o) = 0. Calculate o.
0
Let h = 1356 - 447479/330. Let s(w) be the third derivative of 0*w**3 + 3*w**2 + 0*w + 0 + 0*w**4 - 1/1155*w**7 + h*w**6 + 0*w**5. Determine n so that s(n) = 0.
0, 2
Let b = 335/10274 - -6/467. Let c(q) be the first derivative of -4/11*q - 5/11*q**2 - 8/33*q**3 - b*q**4 + 1. Let c(d) = 0. Calculate d.
-2, -1
Let v(i) be the first derivative of 12 + 11/7*i**2 - 2/3*i**3 + 1/14*i**4 - 10/7*i. Factor v(g).
2*(g - 5)*(g - 1)**2/7
Let a = -2 + 7. Suppose 0 = -p - 3*p + 3*z + 7, -27 = -3*p - a*z. Let 48*k**2 + 18*k**5 - 20*k**3 - p*k**5 + 106*k**3 + 8*k + 60*k**4 = 0. Calculate k.
-2, -1, -2/7, 0
Let r(p) = 5*p**3 - 9*p**2 + 2*p + 2. Let b(u) = 5*u**2 - u + 1. Let j be b(1). Let q(i) = 10*i**3 - 19*i**2 + 4*i + 5. Let t(l) = j*r(l) - 2*q(l). Factor t(c).
c*(c - 1)*(5*c - 2)
Let u(g) be the third derivative of g**5/120 - 5*g**4/96 - g**3/8 - 9*g**2. Factor u(y).
(y - 3)*(2*y + 1)/4
Let t(h) = -3*h + 13. Let g be t(4). Let z(f) = 11*f**2 - f + 2. Let y be z(g). Factor -17*j**2 + y*j - 21*j**3 + 2*j**2 - 21*j**2.
-3*j*(j + 2)*(7*j - 2)
Let b(u) be the third derivative of -u**6/288 + u**5/12 - 5*u**4/6 - u**3/2 + 9*u**2. Let v(k) be the first derivative of b(k). Factor v(r).
-5*(r - 4)**2/4
Solve 0 + 1/7*h**2 - 1/7*h**4 + 3/7*h - 3/7*h**3 = 0 for h.
-3, -1, 0, 1
Determine d so that -3*d**2 + 9*d**4 - 3/2*d**5 + 27/2*d - 6 - 12*d**3 = 0.
-1, 1, 4
Let x be (-1 + 2)/(8/96). Let y = 14 - x. Factor -l**y + 0*l**2 + 2*l**2 - 2*l.
l*(l - 2)
Factor 6*g**3 + 6/5*g**2 + 12/5*g**5 - 2/5*g + 0 + 34/5*g**4.
2*g*(g + 1)**3*(6*g - 1)/5
Let l(z) be the third derivative of -z**6/180 + 8*z**5/45 - 41*z**4/36 + 26*z**3/9 + 4*z**2 - 5. Solve l(b) = 0.
1, 2, 13
Factor -22 - 8/11*d**2 + 8*d.
-2*(2*d - 11)**2/11
Suppose 2*k = 17 - 11. Solve 4*y + k*y**2 - 9 - 2*y**2 + 2*y**2 + 2*y = 0 for y.
-3, 1
Let 131*t**2 - 268*t**2 + 133*t**2 + 4*t**3 + 2*t**3 = 0. What is t?
0, 2/3
Find m, given that -64/9 + 4/9*m**2 - 20/3*m = 0.
-1, 16
Let i be (-6)/(-4) - (-874)/(-684). Factor 8/9*y - 2/3 - i*y**2.
-2*(y - 3)*(y - 1)/9
Let y(m) be the second derivative of 0*m**2 + 0 + 3/10*m**5 - 10*m + 2/21*m**7 + 0*m**3 - 1/12*m**4 - 3/10*m**6. Factor y(s).
s**2*(s - 1)**2*(4*s - 1)
Let k = 485 - 484. Let s(d) be the first derivative of -36/5*d + k - 4/15*d**3 + 12/5*d**2. Let s(f) = 0. Calculate f.
3
Solve 2/13*i**3 - 16/13*i - 10/13*i**2 + 96/13 = 0 for i.
-3, 4
Let n(v) be the third derivative of 32*v**2 + 0*v + 0 + 0*v**4 - 1/720*v**6 + 0*v**3 + 1/90*v**5. Suppose n(k) = 0. Calculate k.
0, 4
Let u be 11 + -9 - (19 - 1). Let z = 18 + u. What is m in -3*m**z + 2*m**3 - 2*m + m**2 + 5 - 2 - 1 = 0?
-1, 1
Let w be -1*(2/(12/(-42)) - (-35)/7). Factor j**w - 2/3*j + 0.
j*(3*j - 2)/3
Solve 103 + 8*y**2 + 5 + 5085*y**3 + 4 - 5089*y**3 + 124*y = 0 for y.
-4, -1, 7
Let l = -209/51 - -115/17. Find t, given that 8/3*t + 2/3*t**2 - l - 2/3*t**3 = 0.
-2, 1, 2
Let c(g) be the third derivative of g**8/140 + 43*g**7/350 + 93*g**6/200 + 19*g**5/50 - 2*g**4/5 + 26*g**2. Find n, given that c(n) = 0.
-8, -2, -1, 0, 1/4
Let v(r) be the third derivative of -7*r**6/240 - 3*r**5/10 - 47*r**4/48 - r**3/2 + 166*r**2. What is n in v(n) = 0?
-3, -2, -1/7
Let c(h) be the second derivative of -h**7/5040 - h**6/4320 + h**5/360 - 5*h**4/3 + 20*h. Let g(q) be the third derivative of c(q). Factor g(r).
-(r + 1)*(3*r - 2)/6
Let x(m) = m**2 + 44*m - 188. Let o(q) be the second derivative of -q**4/6 - 43*q**3/6 + 187*q**2/2 - 21*q. Let b(j) = 4*o(j) + 5*x(j). Let b(h) = 0. What is h?
8
Suppose 3*y - 11 - 58 = 0. Suppose -y*o + 15*o = 0. Factor o*l**2 + 2/9 + 4/9*l**3 - 2/9*l**4 - 4/9*l.
-2*(l - 1)**3*(l + 1)/9
Let u be 65 + 3 + -1 + -4. Let o be (-62)/(-36) - 14/u. Factor -2*t + 0 + 2*t**2 - 1/2*t**5 + o*t**3 - t**4.
-t*(t - 1)**2*(t + 2)**2/2
Suppose v + c = 8, 0 = 12*v - 17*v - 3*c + 24. Solve 0 + 3/2*k**3 + v*k - 1/3*k**2 = 0 for k.
0, 2/9
Let s(t) be the second derivative of 1/12*t**4 - 3/2*t**2 + 0 - 1/3*t**3 + 11*t. Suppose s(u) = 0. What is u?
-1, 3
Let l = 1/90 + 173/630. Let v(f) be the first derivative of -l*f**2 + 0*f + 3 - 2/21*f**3. Let v(o) = 0. Calculate o.
-2, 0
Let f = -9/61 - -149/183. Let t(x) be the first derivative of 2/3*x**3 + 5 - 1/6*x**4 + f*x - x**2. Factor t(z).
-2*(z - 1)**3/3
Suppose 2*t - 2 = 8. Let i = -3 + t. Factor -i*f + 3*f - f - 14*f**2 + 4*f.
-2*f*(7*f - 2)
Factor 2312 + 137/2*c**2 + 2380*c + 1/2*c**3.
(c + 1)*(c + 68)**2/2
Let n = 1 + -1. Let g be 11/121 + (-14)/(-88). Factor -1/4*b + n - g*b**2.
-b*(b + 1)/4
Let y(i) = -i**3 - i + 1. Let z(m) = 4*m**3 + 8*m - 3. Let p(k) = -15*y(k) - 3*z(k). Factor p(f).
3*(f - 2)*(f + 1)**2
Let f(r) be the second derivative of -7*r**4/24 + 11*r**3/4 + 5*r**2/2 + 127*r. Determine n so that f(n) = 0.
-2/7, 5
Let b(r) = -14*r - 66 + 13*r**2 + 61 + 2*r**2 + 15*r**3 - r. Let l(u) = 4 + 1 - 22*u**2 + 22*u - 22*u**3 + 3. Let s(w) = -7*b(w) - 5*l(w). Factor s(i).
5*(i - 1)*(i + 1)**2
Let o(u) = 8*u**5 + 11*u**4 - 5*u**3 - 11*u**2 + 2*u - 5. Let q(t) = -t**5 - t**4 + t**3 + t**2 - t + 1. Let f(g) = o(g) + 5*q(g). Factor f(k).
3*k*(k - 1)*(k + 1)**3
Let d(c) be the second derivative of 14*c - 5/12*c**4 + 1/4*c**5 - 5/6*c**3 + 0*c**2 + 0 + 1/6*c**6. Factor d(z).
5*z*(z - 1)*(z + 1)**2
Let t(z) be the first derivative of -z**5/15 - 7*z**4/6 - 11*z**3/3 + 2*z**2/3 + 44*z/3 - 364. Let t(p) = 0. Calculate p.
-11, -2, 1
Let b(a) be the third derivative of 2*a**7/735 - 11*a**6/210 + 37*a**5/105 - 15*a**4/14 + 12*a**3/7 - 2*a**2 + 36. Factor b(i).
4*(i - 6)*(i - 3)*(i - 1)**2/7
Let u(v) be the second derivative of 0*v**2 + 3*v**3 - 3/4*v**5 + 50 + 13/4*v**4 + 2*v. Factor u(x).
-3*x*(x - 3)*(5*x + 2)
Determine u so that -40*u**2 - 324*u + 15680 + 45*u**2 - 236*u = 0.
56
Let y(z) be the second derivative of z**4/42 - 29*z**3/21 - 62*z**2/7 + 73*z. Let y(t) = 0. Calculate t.
-2, 31
Let w(n) be the first derivative of 35*n**6/16 - 181*n**5/20 + 133*n**4/32 + 7*n**3/6 - 3*n**2/4 + 183. Let w(i) = 0. What is i?
-2/7, 0, 1/3, 2/5, 3
Let f(k) = 2*k**2 + 2*k - 4. Suppose 5*o - 11 = 9. Let w(s) = -s**2 - s + 1. Let v(m) = o*w(m) + f(m). Find t, given that v(t) = 0.
-1, 0
Let x(j) = -j**2 - j + 113. Let f be x(10). Suppose 0 + 1/6*t**f - 5/6*t**2 + 1/2*t + 1/6*t**4 = 0. What is t?
-3, 0, 1
Let c(h) = h + 8. Let v be c(12). Determine w, given that 3*w + 4*w**3 - 20 + 6*w + v*w**2 - 9*w - 4*w = 0.
-5, -1, 1
Let v be (55/(-30))/11 + 19/6. Let s(m) be the second derivative of 3*m + 0*m**v + 0*m**2 + 0 - 1/60*m**4 - 1/100*m**5. Factor s(p).
-p**2*(p + 1)/5
What is l in 28*l**3 + 0*l**2 - 29*l**3 - 2*l**2 = 0?
-2, 0
Let t(x) = x**3 + 6*x**2 - 4*x - 21. Let z be t(-6). Factor -28*r**3 + 2*r - 2*r**2 + z*r**4 + 30*r**3 + r**5 - 5*r - 1.
(r - 1)*(r + 1)**4
Let r(z) be the second derivative of -z**9/22680 + z**7/3780 - 7*z**4/12 + 3*z. Let u(f) be the third derivative of r(f). Factor u(a).
-2*a**2*(a - 1)*(a + 1)/3
Let y(c) be the third derivative of -3*c**8/16 - 11*c**7/35 + 99*c**6/40 - 17*c**5/5 + 3*c**4/2 + 4*c**2. Solve y(l) = 0 for l.
-3, 0, 2/7, 2/3, 1
Let c(p) be the third derivative of -p**8/336 - p**7/70 + 3*p**2. Find x, given that c(x) = 0.
-3, 0
Suppose -982*k + 990*k = 0. Factor 10/9*b - 2/9*b**2 + k.
-2*b*(b - 5)/9
Let v = -19 + 16. Let i be -3 - -3 - 0 - v. Factor 8/7*y - 2/7 + 2/7*y**2 - 8/7*y**i.
-2*(y - 1)*(y + 1)*(4*y - 1)/7
Let h(k) = k**2 + 5*k + 3. Let c be h(-3). Let t be 2/c - (-747)/27. Solve -23*y**4 - 13*y**2 - 2*y**5 + t*y**3 + 2*y + 9*y**5 + 0*y = 0.
0, 2/7, 1
Suppose 72*g - 64 = 40*g. Let 0 - 1/2*f - 1/4*f**g = 0. Calculate f.
-2, 0
Let y(x) = 11*x**2 - 16*x + 12. Let r(v) be the second derivative of v**4/6 - v**3/6 - 24*v. Let j(n) = 4*r(n) - y(n). Factor j(p).
-3*(p - 2)**2
Let w(y) be the third derivative of 2*y**7/35 + 4*y**6/15 - y**5 + 2*y**4/3 - 2*y**2 - 11*y. Factor w(l).
4*l*(l - 1)*(l + 4)*(3*l - 1)
Let b(j) be the third derivative of -5/8*j**4 + 11/12*j**6 + 25/336*j**8 - 11*j**2 + 3/7*j**7 + 0*j - 5/3*j**3 + 2/3*j**5 + 0. Solve b(c) = 0.
-1, 2/5
Let b(k) = -4*k - 9. Let 