0*k**3 + 1/16*k**6. Suppose x(q) = 0. Calculate q.
-1, 0, 1
Find w, given that 8 + 82/5*w + 44/5*w**2 + 2/5*w**3 = 0.
-20, -1
Let s(i) be the second derivative of 3/13*i**2 - 2*i + 0 + 5/39*i**3 + 1/78*i**4 - 1/130*i**5. Factor s(c).
-2*(c - 3)*(c + 1)**2/13
Let f(n) be the third derivative of -17*n**2 + 0*n**3 + 0*n + 1/165*n**7 + 5/264*n**6 - 2/165*n**5 - 1/66*n**4 + 0. Suppose f(b) = 0. Calculate b.
-2, -2/7, 0, 1/2
Suppose 4*t - n = 4, -t - 5*n = -5*t - 12. Suppose t*g - g = 2. Factor 0*b**2 + 15*b**3 - 15*b + 4*b**2 - 16 - 9*b + g*b**5 + 12*b**4 + 7*b**3.
2*(b - 1)*(b + 1)*(b + 2)**3
Let p(j) be the third derivative of -j**5/15 + 2*j**4/3 - 8*j**3/3 - 58*j**2. Factor p(x).
-4*(x - 2)**2
Let f be (-2)/(-8) + (846/(-120) - -11). Let v(k) be the first derivative of 0*k**3 + 0*k - 5 + 0*k**2 + f*k**5 + 5/2*k**6 + 3/2*k**4. Factor v(x).
3*x**3*(x + 1)*(5*x + 2)
Let u(c) = -c + 21. Let s be u(7). Let r = s + -10. Factor -1/2*w**r + 1/6*w - 5/6*w**2 + 0 + 7/6*w**3.
-w*(w - 1)**2*(3*w - 1)/6
Let c(l) = -l**2 - 20*l - 43. Let k be c(-15). Let g = -95/3 + k. Suppose -2/3*m - m**5 + g*m**2 + 5/3*m**3 - 1/3*m**4 + 0 = 0. Calculate m.
-1, 0, 2/3, 1
Let -12*q**4 + 30*q**4 - 44*q**3 + 10*q + 33*q + 21*q - 2*q**5 = 0. Calculate q.
-1, 0, 2, 4
Let z = 658 - 654. Let s(i) be the second derivative of 4/3*i**3 + 0 - 1/3*i**z + 8*i + 0*i**2. Let s(j) = 0. Calculate j.
0, 2
Let o(h) be the second derivative of -4*h**7/7 + 22*h**6/15 + 33*h**5/5 - 11*h**4 - 22*h**3/3 + 12*h**2 - 5*h - 7. Determine a, given that o(a) = 0.
-2, -1/2, 1/3, 1, 3
Let 5*r + 9/4*r**3 - 23*r**2 + 0 = 0. Calculate r.
0, 2/9, 10
Let k(m) be the first derivative of -5*m**6/6 + 3*m**5 - 5*m**4/2 + 677. Factor k(n).
-5*n**3*(n - 2)*(n - 1)
Let u(n) = -n**2 + 28*n - 24. Let c be u(27). Let z(a) be the first derivative of 6 + 4/3*a**c - 3*a**2 - 1/6*a**4 + 0*a. Factor z(x).
-2*x*(x - 3)**2/3
Let x(o) = o**2 + 7*o + 17. Let k be x(-4). Let i(b) be the third derivative of 4*b**2 + 1/480*b**6 - 1/120*b**k + 1/96*b**4 + 0*b + 0*b**3 + 0. Factor i(z).
z*(z - 1)**2/4
Let z(u) be the second derivative of -u**6/135 - 7*u**5/45 - 61*u**4/54 - 28*u**3/9 - 4*u**2 - 7*u + 1. Factor z(t).
-2*(t + 1)**2*(t + 6)**2/9
Let q be 295/(-90) + -1 + 8 + -3. Let h(t) be the second derivative of -1/3*t**2 + q*t**3 - 4*t - 5/9*t**4 + 0. Factor h(i).
-(4*i - 1)*(5*i - 2)/3
Let d(x) = -23*x**2 - 155*x + 58. Let h(s) = 11*s**2 + 77*s - 30. Let z(p) = -3*d(p) - 5*h(p). Factor z(l).
2*(l + 6)*(7*l - 2)
Let t(g) = 2*g**3 + 26*g**2 - 2*g - 26. Let u be t(-13). Let d(h) be the second derivative of u - 5*h - 9/20*h**5 + 0*h**2 + 1/4*h**4 + 0*h**3. Factor d(p).
-3*p**2*(3*p - 1)
Let j(d) be the second derivative of -d**5/90 - 19*d**4/54 + 88*d**3/27 - 92*d**2/9 + 7*d + 4. Factor j(t).
-2*(t - 2)**2*(t + 23)/9
Let h(w) be the third derivative of 1/3*w**4 + 0*w - 3/20*w**6 + 1/15*w**5 - 13*w**2 + 0*w**3 + 0 - 3/70*w**7. Factor h(g).
-g*(g + 2)*(3*g - 2)*(3*g + 2)
Let c(v) be the second derivative of v**4/12 + v**2/2 + 8*v. Let r = 0 - 1. Let b(d) = d**2 + 3*d + 10. Let l(n) = r*b(n) + 4*c(n). Factor l(f).
3*(f - 2)*(f + 1)
Suppose 305 - 144 = 162*h - 487. Let q(k) = -k**3 + 2*k**2 + 2*k - 1. Let r be q(2). Factor -4/7*z**r + 0*z**2 + 0 + 0*z - 2/7*z**h.
-2*z**3*(z + 2)/7
Let d(q) be the second derivative of 0 - 3*q + 2*q**2 + 2/3*q**4 + 2/5*q**5 - 2/5*q**6 - 2*q**3 + 2/21*q**7. Find s, given that d(s) = 0.
-1, 1
Let i(o) be the first derivative of -5*o**3/12 - 55*o**2/4 + 53. Factor i(b).
-5*b*(b + 22)/4
Factor 11*m**4 + 75*m**3 + 97*m - 37*m + 45 + 105*m - m**4 + 185*m**2.
5*(m + 1)*(m + 3)**2*(2*m + 1)
Let i(l) be the third derivative of l**7/504 - l**6/144 + 2*l**4/3 - 15*l**2. Let p(j) be the second derivative of i(j). Determine t, given that p(t) = 0.
0, 1
Let p(s) be the second derivative of -2/3*s**3 - 3*s**2 + 0 + 11*s + 1/6*s**4. Suppose p(k) = 0. What is k?
-1, 3
Let x(f) be the first derivative of f**4/4 - 8*f**3/3 + 3*f**2 + 7*f - 18. Let i be x(7). Factor -4/3 + p**2 + 1/3*p**3 + i*p.
(p - 1)*(p + 2)**2/3
Let t be ((-28)/252)/(3/(-2)). Let a = t + 17/135. Factor 0 - 3/5*j + a*j**2.
j*(j - 3)/5
Factor -12/5*s**2 - 4/5*s**3 + 0 + 0*s.
-4*s**2*(s + 3)/5
Let x be 22/(-11) - (0 - 6). What is i in -x*i + i**3 + 16*i - 13*i = 0?
-1, 0, 1
Let c(z) = z**3 - 6*z**2 - 4*z - 16. Let w be 1/(-9)*-3*21. Let p be c(w). Find h, given that -7*h + 7*h + p*h**2 - h**2 = 0.
0
Factor -202 + 868*p - 190 - 48*p**3 + 68*p**3 + 272*p**2.
4*(p + 7)**2*(5*p - 2)
Factor -6/5*k**3 + 0 - 6/5*k**2 - 2/5*k - 2/5*k**4.
-2*k*(k + 1)**3/5
Let i = 10/543 + -901/137379. Let s = 744/1265 + i. Factor -s*a**2 + 18/5*a - 27/5.
-3*(a - 3)**2/5
Let h(a) be the second derivative of -a**5/20 + a**4/3 - 2*a**3/3 + 10*a - 14. Factor h(k).
-k*(k - 2)**2
Suppose -48 = 482*a - 506*a. Factor -6 - 6*c - 3/2*c**a.
-3*(c + 2)**2/2
Let l be (-303)/2520 + (-16)/(-168). Let a = 47/40 - l. Solve 2/5*z**4 + 6/5*z**2 + 2/5*z + 0 + a*z**3 = 0.
-1, 0
Let u be 610/244 - -2*(-3)/(-4). Factor -1/2*y**2 + 0*y - 1/4*y**u - 3/4*y**3 + 0.
-y**2*(y + 1)*(y + 2)/4
Let o(j) be the third derivative of -7*j**2 - 1/315*j**7 - 1/30*j**6 - 1/3*j**4 + 0*j - 13/90*j**5 - 4/9*j**3 + 0. Factor o(i).
-2*(i + 1)**2*(i + 2)**2/3
Let g(h) be the second derivative of -h**5/40 - h**4/12 - h**3/12 - 164*h. Factor g(c).
-c*(c + 1)**2/2
Suppose -260*c + 292*c - 96 = 0. Let v(s) be the second derivative of 2*s - 2/3*s**c - 2*s**2 - 1/12*s**4 + 0. Suppose v(d) = 0. Calculate d.
-2
Let z(a) be the first derivative of -48 + 0*a - 1/2*a**6 + 18/5*a**5 - 6*a**2 + 12*a**3 - 39/4*a**4. Solve z(l) = 0 for l.
0, 1, 2
Let x(i) be the second derivative of 0*i**2 + 1/36*i**3 + 5*i - 1/120*i**5 + 2 - 1/72*i**4 + 1/180*i**6. Determine o, given that x(o) = 0.
-1, 0, 1
Solve 3/4*h**5 + 0 + 0*h + 3/2*h**2 - 3/2*h**4 - 3/4*h**3 = 0 for h.
-1, 0, 1, 2
Let q(n) be the third derivative of n**6/60 - 8*n**5/15 + 23*n**4/4 - 30*n**3 - 625*n**2. Factor q(b).
2*(b - 10)*(b - 3)**2
Let v(w) = -w**5 - 6*w**4 - 7*w**3 - 4*w**2. Let i(h) = h**3. Let z(f) = 2*i(f) - v(f). Find r such that z(r) = 0.
-4, -1, 0
Factor -8*b**2 - 1 + 1 + 44*b**3 - 75*b + 75*b.
4*b**2*(11*b - 2)
Let s(u) be the first derivative of u**4/54 - u**3/27 + 10*u - 2. Let z(t) be the first derivative of s(t). Factor z(f).
2*f*(f - 1)/9
Let v(k) be the second derivative of k - 7/36*k**4 + 5/9*k**3 + 0*k**2 + 2 + 1/60*k**5. Factor v(q).
q*(q - 5)*(q - 2)/3
Let c = 93 + -92. Let p(k) be the first derivative of 0*k + 2/15*k**3 + c + 1/20*k**4 + 0*k**2. Determine o so that p(o) = 0.
-2, 0
Let -72/7 - 96/7*m - 2*m**2 + 12/7*m**3 + 2/7*m**4 = 0. What is m?
-6, -2, -1, 3
Factor 7*i**2 + 16*i**5 - 4 + 48*i**2 + 52*i**4 + 80*i**3 + 8*i**4 - 15*i**2.
4*(i + 1)**4*(4*i - 1)
Suppose 28*j = 7*j - 5*j. Let l(r) be the third derivative of -4*r**2 - 1/60*r**5 + 1/360*r**6 + 1/24*r**4 - 1/18*r**3 + 0 + j*r. Factor l(p).
(p - 1)**3/3
Let g(b) be the second derivative of -b**4/30 - 4*b**3/5 + 13*b**2/5 - 14*b. What is o in g(o) = 0?
-13, 1
Let w(j) be the third derivative of -5*j**8/336 - j**7/42 + j**6/8 + j**5/12 - 5*j**4/12 + 2*j**2 + 3*j. Find l, given that w(l) = 0.
-2, -1, 0, 1
Determine l, given that 16*l - 7*l**2 - 8*l + 156 + 7*l + 23*l + 9*l**2 = 0.
-13, -6
Let -44*i + 74*i - 66*i - 4*i**3 - 40*i**2 = 0. What is i?
-9, -1, 0
Let z(k) be the third derivative of 2*k**8/189 + 52*k**7/315 + 59*k**6/135 + 19*k**5/54 - k**4/12 - 8*k**3/27 + 69*k**2. What is d in z(d) = 0?
-8, -1, -1/2, 1/4
Let t be 6/33 + (-1383)/44. Let o = -31 - t. Solve -o - 3/4*k**2 + 1/4*k**3 + 3/4*k = 0 for k.
1
Suppose 3*q - 16 = -1. Suppose 0 = 6*u - q*u. Factor 24*h + 8 + 2*h**3 - 7*h**5 + 22*h**2 + 5*h**5 - 6*h**4 + u*h**3.
-2*(h - 2)*(h + 1)**3*(h + 2)
Let y(a) be the second derivative of -a**7/14 - 3*a**6/10 + 3*a**5/5 - 2*a - 3. Factor y(g).
-3*g**3*(g - 1)*(g + 4)
Let y(k) be the first derivative of 2*k**3/3 + k**2 - 24*k + 172. Let y(w) = 0. Calculate w.
-4, 3
Let u = 6 - 4. Suppose -u*v + 4*v = 10. Factor -4 + 3*h - 3*h**v + 3 - 6*h**2 + 1 + 6*h**4.
-3*h*(h - 1)**3*(h + 1)
Factor -15 - 90*w**3 - 35*w**4 + 48*w - 24*w - 89*w - 110*w**2 - 5*w**5.
-5*(w + 1)**4*(w + 3)
Let p(u) be the second derivative of -u**6/30 + 11*u**5/20 - 11*u**4/4 + 37*u**3/6 - 7*u**2 - 9*u + 8. Find s, given that p(s) = 0.