 Let z(k) = 0. Calculate k.
-3, -1
Let l(n) be the second derivative of -n**5/40 + 3*n**4/8 - 3*n + 5. Factor l(v).
-v**2*(v - 9)/2
Let q(r) = -9*r**2 + 16*r - 11. Let a(l) = -14*l**2 + 24*l - 16. Let c = 37 + -42. Let j(o) = c*a(o) + 8*q(o). Factor j(f).
-2*(f - 2)**2
Let a(g) = -g**3 - 19*g**2 - 145*g - 341. Let z(d) = 502*d + 77*d - 139*d**3 + d**2 + 74*d**2 + 143*d**3 + 1363. Let y(r) = 9*a(r) + 2*z(r). Factor y(u).
-(u + 7)**3
Let w(j) = 2*j**3 - 12*j**2 - 18*j + 4. Let s(x) = -5*x**3 + 23*x**2 + 37*x - 9. Let z(y) = 4*s(y) + 9*w(y). Let z(n) = 0. What is n?
-7, -1, 0
Let m be (3 - 1/(-2))*-4 - 2. Let b be (-16)/m + (-4)/6. Factor 1/3*z**4 + 0 - b*z + 1/3*z**3 - 1/3*z**2.
z*(z - 1)*(z + 1)**2/3
Let z(o) be the third derivative of 5/24*o**4 + 0 + 1/60*o**5 + 0*o + 2/3*o**3 + 20*o**2. Factor z(v).
(v + 1)*(v + 4)
Factor -34/7 + 134/7*p + 8/7*p**2.
2*(p + 17)*(4*p - 1)/7
Let j = 15 - 17. Let t = 2 - j. Factor 4*w**t - 9*w**2 + 2*w + 9*w**3 - 4*w**4 + w - 3*w**4.
-3*w*(w - 1)**3
Let m(v) = v**2 + 3*v - 9. Let x be m(4). Suppose -13 = -5*l + p, l + 4*l - x = -2*p. Determine i, given that 37*i**l - 39*i**3 - 3*i**5 + i**5 + 4*i**4 = 0.
0, 1
Suppose -3 = -2*f - m, 5*m + 6 - 1 = -5*f. Let u(o) be the second derivative of 1/24*o**f + 0*o**3 + 0 - 5*o - 1/4*o**2. Factor u(z).
(z - 1)*(z + 1)/2
Find b, given that -1936/5 - 88/5*b - 1/5*b**2 = 0.
-44
Let u = 10587 - 21171/2. Let -3*c - u + 9/2*c**2 = 0. Calculate c.
-1/3, 1
Let q be (-272)/170 - 470/(-200). Factor q - 3/4*h - 3/2*h**2.
-3*(h + 1)*(2*h - 1)/4
Let t be (-7)/(-35)*5 - (-315)/(-324). Let g(y) be the second derivative of -1/45*y**6 + 0 - 1/6*y**3 + 1/6*y**2 + t*y**4 - y + 1/20*y**5. Solve g(b) = 0.
-1, 1/2, 1
Let x = -562 - -567. Let b(h) be the third derivative of 0*h + h**2 + 0 + 1/300*h**x - 1/30*h**3 + 0*h**4. Find m such that b(m) = 0.
-1, 1
Let j(p) = 5*p**3 - 468*p**2 + 15366*p - 163834. Let s(m) = 15*m**3 - 1406*m**2 + 46097*m - 491503. Let o(n) = -17*j(n) + 6*s(n). Factor o(a).
5*(a - 32)**3
Let c(v) be the third derivative of 1/12*v**6 + 0 + 0*v**3 + 0*v**7 + 0*v**5 - 34*v**2 - 5/336*v**8 + 0*v - 5/24*v**4. Factor c(f).
-5*f*(f - 1)**2*(f + 1)**2
Suppose 5*l + 3*a + 5 = 0, 4*l - 4*a = -0 - 4. Let x be (-14)/(-6) + -1 + l. Factor x*d**4 - 5/3*d**3 + 8/3*d**2 - 4/3*d + 0.
d*(d - 2)**2*(d - 1)/3
Suppose -2*q + 9 = -5*l - 20, -5*q = 4*l + 10. Let b(a) be the first derivative of 0*a**3 - 1/4*a**4 + 1/2*a**q - 1/2*a + 1/10*a**5 - 6. Factor b(d).
(d - 1)**3*(d + 1)/2
Let w(l) be the third derivative of l**5/30 + 11*l**4/12 - 26*l**3/3 + 455*l**2. Factor w(q).
2*(q - 2)*(q + 13)
Let h(b) be the first derivative of 2*b**4/3 - 46*b**3/9 - 34*b**2/3 - 14*b/3 + 135. Determine t, given that h(t) = 0.
-1, -1/4, 7
Let s(p) be the third derivative of 0*p**5 + 0*p**6 + 1/2*p**3 + 1/4200*p**7 + 0*p - 5*p**2 + 0 + 0*p**4. Let r(f) be the first derivative of s(f). Factor r(q).
q**3/5
Let a = -2067 - -2070. Factor 2/5*p**a + 0*p**2 - 2/5*p + 0.
2*p*(p - 1)*(p + 1)/5
Suppose 878 + 200 = 2*y. Suppose y = 2*z + 5*z. Solve -z*o**5 + 64*o + 163*o**4 - 764*o**3 - 483*o**5 + 92*o**2 - 16 + 1021*o**4 = 0.
-2/7, 2/5, 1/2, 1
Suppose 10 = 2*s - 5*d, -4*s - 1 + 9 = -4*d. Let c(h) be the third derivative of 0*h + s*h**3 + 0 + 1/18*h**4 + 1/90*h**5 - 2*h**2. Solve c(u) = 0.
-2, 0
Let r(z) = -40*z**2 + 198*z - 160. Let f(g) = 121*g**2 + 272*g**3 - 539*g**3 + 268*g**3 - 594*g + 479. Let x(k) = -2*f(k) - 7*r(k). Factor x(i).
-2*(i - 9)**2*(i - 1)
Suppose -x = -5*b - 25, 5*x + 41 = -b + 36. Factor -2/9*z**3 + 0*z**2 + x*z + 0 + 2/9*z**4.
2*z**3*(z - 1)/9
Let q(x) be the third derivative of -1/315*x**7 + 0*x**6 + 0*x + 0*x**4 + 0*x**3 + 0 - 12*x**2 - 1/1512*x**8 + 0*x**5. Suppose q(l) = 0. What is l?
-3, 0
Let i(w) = w**5 - w**2 + w + 1. Let h(j) = -3*j**5 + 28*j**4 - 64*j**3 + 31*j**2 + 65*j - 63. Let o(g) = h(g) - i(g). What is t in o(t) = 0?
-1, 2
Let h(s) be the third derivative of -s**7/420 + s**5/60 - 5*s**3/2 - 8*s**2. Let l(g) be the first derivative of h(g). Let l(a) = 0. Calculate a.
-1, 0, 1
Find u, given that -2/11*u**4 - 12/11*u**3 + 16/11 - 14/11*u**2 + 12/11*u = 0.
-4, -2, -1, 1
Let p = -1860 + 1860. Let o(x) be the first derivative of 0*x**4 + 2/15*x**3 + p*x - 3 - 2/25*x**5 + 0*x**2. Determine w, given that o(w) = 0.
-1, 0, 1
Factor -1/6*m**4 + 0 + 1/6*m**5 - 2/3*m**3 + 2/3*m**2 + 0*m.
m**2*(m - 2)*(m - 1)*(m + 2)/6
Let p(a) be the third derivative of a**6/90 + 4*a**5/15 + 8*a**4/3 - 2*a**3/3 - 4*a**2. Let i(q) be the first derivative of p(q). Factor i(h).
4*(h + 4)**2
Suppose -123*h**2 + 41*h**2 - 3*h**3 + 61*h**2 = 0. Calculate h.
-7, 0
Suppose 16*r + 61 = 125. Determine k so that -1/2*k**r + 1/4*k**2 - 3/4*k**3 + 3/4*k + 1/4 = 0.
-1, -1/2, 1
Let p(t) = -2*t**2 + 4*t + 2. Let w(i) be the first derivative of 2*i**3 - 6*i**2 - 5*i - 3. Suppose 4*c - 15 = -31. Let o(q) = c*w(q) - 11*p(q). Factor o(f).
-2*(f - 1)**2
Let y(v) be the second derivative of -v**7/441 + v**5/30 - v**4/63 - 4*v**3/21 + 8*v**2/21 + 12*v + 2. Determine f so that y(f) = 0.
-2, 1, 2
Factor 9*g**2 - 4*g**3 + g**2 - 388*g**4 - 2*g**2 + 384*g**4 + 0*g**3.
-4*g**2*(g - 1)*(g + 2)
Let f = 0 + 2. Suppose 2*i = -f*i + 12. Let 0*t**2 + 2*t**2 - i*t**2 - 3*t**4 - t**5 - 3*t**3 = 0. Calculate t.
-1, 0
Let r be ((-8)/(-14) - 0/(-17))*2. Find i, given that 0*i**2 + 2/7*i**4 - 6/7*i**3 + r*i + 0 = 0.
-1, 0, 2
Let x(j) be the third derivative of -1/36*j**5 + j + 1/144*j**6 + 0*j**3 + 0 - 5/48*j**4 - 2*j**2. Determine p, given that x(p) = 0.
-1, 0, 3
Let t(f) = -f**2 - 9*f + 4. Let s be t(-9). Let l(n) = 38*n - 16. Let g be l(s). Let -3*w**3 + g*w**2 + 0*w**3 - 135*w**2 = 0. What is w?
0, 1/3
Let h(l) be the second derivative of 14/9*l**3 + 0 + 10*l + l**2 + 5/6*l**4. Determine w, given that h(w) = 0.
-3/5, -1/3
Let -5*c**4 - 20*c**2 + 14*c**4 + 26*c**3 + 11*c**4 + 49*c**3 = 0. What is c?
-4, 0, 1/4
Let p be (-4 - 28/(-8))*(8 - 14). Solve -1/5*x**2 + 4/5 - 1/5*x**p + 4/5*x = 0 for x.
-2, -1, 2
Let s = -7 + 7. Let b be ((-6)/63)/(6/(-14) + s). Suppose -2/9*p**3 + 0 + 4/9*p - b*p**2 = 0. Calculate p.
-2, 0, 1
Let j(t) be the third derivative of -t**6/1980 + t**5/33 - 25*t**4/33 + 31*t**3/6 - 20*t**2. Let l(v) be the first derivative of j(v). Solve l(d) = 0.
10
Let z(o) be the second derivative of -o**6/60 - o**5/2 + o**4/8 + 29*o**3/6 - 10*o**2 - 332*o. Factor z(h).
-(h - 1)**2*(h + 2)*(h + 20)/2
Suppose 3*t + 44 = 14*t. Let s(w) be the third derivative of 0*w**3 + 1/270*w**5 + 4*w**2 + 1/108*w**t + 0 + 0*w. Solve s(g) = 0.
-1, 0
Let x = 1817/7266 - 1/14532. Determine f, given that -1/4*f**3 + f + f**2 - x*f**4 + 0 = 0.
-2, -1, 0, 2
Let i be (-4)/(-2)*3/2. Suppose -i*j - 6 = -6*j. Factor c**j - 19 + 3*c**2 + 15.
4*(c - 1)*(c + 1)
Let l(n) be the third derivative of -n**5/80 + 3*n**4/16 + 7*n**3/8 - 49*n**2. Factor l(q).
-3*(q - 7)*(q + 1)/4
Let o(z) be the second derivative of -z**7/49 + 10*z**6/21 - 17*z**5/10 + 50*z**4/21 - 4*z**3/3 - 211*z. Suppose o(s) = 0. What is s?
0, 2/3, 1, 14
Let t = -4645/28 - -166. Let m(v) be the first derivative of 5 + 0*v - t*v**4 + 0*v**2 - 3/35*v**5 + 0*v**3. Factor m(b).
-3*b**3*(b + 1)/7
Let n = 0 + 4. Factor 2*d**2 + 4*d**2 + d**2 - 12*d - n*d**2 + 12.
3*(d - 2)**2
Let u(n) be the first derivative of -2*n**3/3 - 2*n**2 + 30*n - 117. Find b, given that u(b) = 0.
-5, 3
Let y(z) be the first derivative of z**3/2 + 15*z**2 + 434. Factor y(k).
3*k*(k + 20)/2
Let t be (-210)/63*(4/20 - 17/10). Factor 0*z**4 + 0*z - 1/3*z**t - 2/3*z**2 + 0 + z**3.
-z**2*(z - 1)**2*(z + 2)/3
Let w(j) be the second derivative of 2*j**3 + 0 - 7*j + 9*j**2 + 1/6*j**4. Let w(k) = 0. Calculate k.
-3
What is g in -70/3*g + 35/3*g**4 - 10/3*g**2 - 25/3 - 10/3*g**5 + 80/3*g**3 = 0?
-1, -1/2, 1, 5
Let s(p) be the first derivative of -5/23*p**2 + 2 - 8/23*p - 2/69*p**3. Suppose s(h) = 0. Calculate h.
-4, -1
Let q = 18367 - 18363. Factor 3 + 3/4*l**q + 39/4*l**2 - 9/2*l**3 - 9*l.
3*(l - 2)**2*(l - 1)**2/4
Let z = -8 + 23. Let c be 8/(-18)*-2*z/10. Suppose 0 - 8/9*q**4 - 8/9*q**2 + 2/9*q + c*q**3 + 2/9*q**5 = 0. Calculate q.
0, 1
Let a(s) = -s**2 - 3*s + 1. Let w(m) = -155*m**2 - 307*m + 9. Let y(r) = 2*a(r) - 2*w(r). Solve y(p) = 0.
-2, 2/77
Let q = -5 - -17. Let r = -9 + q. Determine f, given that -r + 2*f**4 - 4*f**2 + 3 + 2*f**4 = 0.
-1, 