. Solve c(a) = 0 for a.
0, 1
Let u be 16/9*501/(-334)*-2*(-9)/(-30). What is p in -6/5*p - u*p**4 - 32/5*p**3 - 26/5*p**2 + 0 = 0?
-3, -1/2, 0
Let z(n) be the third derivative of -n**5/390 - 497*n**4/156 - 496*n**3/39 + 45*n**2 - 37. Factor z(s).
-2*(s + 1)*(s + 496)/13
Determine y so that 83*y**2 - 15*y**4 - 13*y**4 + 11*y**3 + 85*y + 14*y**2 + 13*y**4 + 14*y**4 = 0.
-5, -1, 0, 17
Suppose 0 = -26*r + 823 - 537. Let i(m) be the second derivative of -r*m - 3/40*m**4 + 0 + 1/5*m**2 - 4/15*m**3. Factor i(s).
-(s + 2)*(9*s - 2)/10
Let g = -1446 + 1446. Let n(o) be the second derivative of 7*o + 0*o**3 + g*o**2 + 1/60*o**5 + 1/14*o**7 + 1/15*o**6 + 0 + 0*o**4. Factor n(y).
y**3*(3*y + 1)**2/3
Suppose 16*v = 23*v - 161. Suppose -v*f + 29*f = 18. Factor 1/5*b**f + 1/5*b**4 + 0*b + 0 + 0*b**2.
b**3*(b + 1)/5
Let k(x) be the first derivative of 125/2*x**2 + 1/20*x**4 + 0*x - 10/3*x**3 - 32. Let k(v) = 0. What is v?
0, 25
Let y(w) = 3*w + 2. Let z(x) = x**2 - 303*x + 12. Let p(n) = -6*y(n) + z(n). Factor p(c).
c*(c - 321)
Let b = -11 + 15. Let w be 3 + 50/30 + b/(-6). Suppose -8*u**4 + w*u + 628*u**5 - 2*u**2 - 632*u**5 + 10*u**2 = 0. What is u?
-1, 0, 1
Let x(l) be the third derivative of -3*l**7/70 - 7*l**6/120 + 14*l**5/15 - l**4/2 + 53*l**2 + 2*l. Suppose x(k) = 0. What is k?
-3, 0, 2/9, 2
Let z(d) be the second derivative of d**6/120 + d**5/3 + 37*d**4/24 + 3*d**3 + 47*d**2 + 24*d. Let m(o) be the first derivative of z(o). Factor m(y).
(y + 1)**2*(y + 18)
Let z(d) be the first derivative of d**6/135 + d**5/18 + d**4/6 + 7*d**3/27 + 2*d**2/9 - 25*d + 115. Let v(k) be the first derivative of z(k). Solve v(t) = 0.
-2, -1
Let j(c) be the second derivative of c**7/42 - c**6/15 - c**5/5 + 2*c**4/3 + 48*c - 50. Factor j(t).
t**2*(t - 2)**2*(t + 2)
Let c(d) be the second derivative of 1/90*d**5 + 0 - 62*d + 0*d**2 + 121/27*d**3 - 11/27*d**4. Factor c(u).
2*u*(u - 11)**2/9
Determine p so that 2/5*p**3 - 112/5*p**2 - 728/5*p - 992/5 = 0.
-4, -2, 62
Let f = 1679521/3 + -559507. Factor 1/3*o**4 + f*o + 100*o**2 + 10*o**3 + 0.
o*(o + 10)**3/3
What is q in 977*q**3 + 59*q - 974*q**3 + 517*q + 123*q**2 - 279*q**2 = 0?
0, 4, 48
Let w be (-4)/(-34)*(-2244)/528*-1*3. Factor 3/8*d**4 + 3/4*d**2 - w*d - 9/8 + 3/2*d**3.
3*(d - 1)*(d + 1)**2*(d + 3)/8
Let s be (-8075)/(-80) - 7/(-112). Let m = -99 + s. Solve -1/12*x**m - 16/3 - 4/3*x = 0 for x.
-8
Let a be 7/(-77) + (-1)/((-55)/71) - 1. Let b(x) be the first derivative of -1/10*x**4 + a*x**2 - 5 + 6/5*x - 2/5*x**3. Find f, given that b(f) = 0.
-3, -1, 1
Let n be (4 - 2)/(-50 + (58 - -2)). Factor f**2 - n*f**4 - 4/5 + 3/5*f**3 - 3/5*f.
-(f - 4)*(f - 1)*(f + 1)**2/5
Let h(i) be the third derivative of -5*i**8/336 + 13*i**7/42 - i**6/2 - 548*i**2. Solve h(q) = 0.
0, 1, 12
Suppose 8*v - 444 + 404 = 0. Let z(y) be the third derivative of -1/330*y**5 + 0*y - 1/44*y**4 + 0*y**3 + v*y**2 + 0. Determine f, given that z(f) = 0.
-3, 0
Let p(c) be the third derivative of 1/27*c**4 + 1/945*c**7 + 166*c**2 - 7/90*c**5 + 0*c + 1/135*c**6 + 0 + 28/27*c**3. Suppose p(j) = 0. What is j?
-7, -1, 2
What is y in -2/5*y**4 - 64/5*y + 6*y**3 + 0 + 36/5*y**2 = 0?
-2, 0, 1, 16
Let w = 9639 + -9639. Let g(u) be the first derivative of w*u**2 + 3/7*u - 17 - 1/7*u**3. Solve g(o) = 0 for o.
-1, 1
Suppose -9*q + 452 = -70. Factor 16*r**2 - 52*r + 46*r**3 + q*r**2 + 3*r**2 + 3*r**3 - 20.
(r + 2)*(7*r - 5)*(7*r + 2)
Let l(v) be the first derivative of 0*v**2 - v**4 - 6*v + 13 - 4/5*v**5 + 0*v**3 - 2/15*v**6. Let q(z) be the first derivative of l(z). Factor q(b).
-4*b**2*(b + 1)*(b + 3)
Let g(l) be the first derivative of -l**4/22 - 6*l**3/11 + 106*l**2/11 - 192*l/11 + 1800. Factor g(r).
-2*(r - 6)*(r - 1)*(r + 16)/11
Let q(p) be the second derivative of -24*p**6/5 + 594*p**5/5 - 1147*p**4 + 47089*p**3/9 - 29791*p**2/3 + 689*p + 2. Let q(x) = 0. What is x?
1, 31/6
Suppose -5*o = 3*k + 9 + 14, 7 = -o - 3*k. Let g be (o + 64/12)*3/26. Factor 2/13*w**3 - g*w + 4/13 - 4/13*w**2.
2*(w - 2)*(w - 1)*(w + 1)/13
Factor 408*v**4 - 3872/9*v - 18*v**5 - 1008*v**3 + 2944/3*v**2 + 640/9.
-2*(v - 20)*(3*v - 2)**4/9
Let o = -19933 - -19935. Find x, given that 1/4*x - 1/4*x**3 + 1/4*x**o - 1/4 = 0.
-1, 1
What is k in -164*k**2 + 10086*k + 0 + 2/3*k**3 = 0?
0, 123
Let f(j) be the second derivative of -j**5/140 - 85*j**4/84 - 2*j**3 - 5989*j. Find o, given that f(o) = 0.
-84, -1, 0
Factor -620*a**2 - 3*a**3 - 30424*a + 15*a**3 + 38328*a + 2704.
4*(a - 26)**2*(3*a + 1)
Let m(i) = 2590*i - 227893. Let x be m(88). Factor -81/2*q**2 + 15*q**3 - 3/2*q**4 + 0 + x*q.
-3*q*(q - 6)*(q - 3)*(q - 1)/2
Let m = -47 - -50. Factor 2*j**3 - 882*j**2 + 3 + 912*j**2 - 32*j - m.
2*j*(j - 1)*(j + 16)
Suppose -5*h + 2*k = 0, 3*h - 4*k = 10 - 24. Let a(u) = -u**3 - 7*u**2 + 5. Let o be a(-7). Factor y - 3 - 8*y**2 - h + 13 - 16*y**3 + 4*y**o + 11*y.
4*(y - 2)*(y - 1)*(y + 1)**3
Let s(h) = -4*h**4 + 4*h**3 + 12*h**2 + 26*h + 7. Let w(m) = -3*m**4 + 3*m**3 + 13*m**2 + 25*m + 8. Let v(l) = -4*s(l) + 6*w(l). Solve v(i) = 0.
-2, -1, 5
Let t be ((-12)/1)/(-1)*(-20 + 16). Let n be (136/t)/17*0. Factor 2/3*c**3 - 2*c + n*c**2 + 4/3.
2*(c - 1)**2*(c + 2)/3
Let i(k) be the first derivative of -5/12*k**3 - 1/32*k**4 + 0*k - 9/16*k**2 - 48. Let i(v) = 0. What is v?
-9, -1, 0
Suppose 2 = 3*x - 13. Suppose x*j - 29 = -9. Let -11*i - j*i**3 + 4*i**4 + 7*i**3 + 15*i**2 + 20*i - 7*i**4 = 0. Calculate i.
-1, 0, 3
Let o = 16055 + -1846311/115. Let w = 443/805 - o. Factor -3/7*t + 6/7 - w*t**2.
-3*(t - 1)*(t + 2)/7
Let w(v) be the second derivative of -v**5/5 + 2*v**4/3 + 2*v**3/3 - 4*v**2 - 4481*v. Let w(t) = 0. Calculate t.
-1, 1, 2
Let c = -119721 + 119724. Determine f so that 0*f**c + 2/5*f**4 - 6/5 - 12/5*f**2 + 16/5*f = 0.
-3, 1
Suppose 240*k - 744*k - 2795*k = -6598. Factor -61/3*b + b**4 - 19/3*b**3 - 6 - 65/3*b**k.
(b - 9)*(b + 1)**2*(3*b + 2)/3
Let d(h) be the third derivative of -h + 1/448*h**8 + 7/16*h**5 + 33/280*h**7 - 25*h**2 - 69/160*h**6 + 0*h**4 + 0*h**3 + 0. Factor d(u).
3*u**2*(u - 1)**2*(u + 35)/4
Let a = -6157 - -6159. Let v(g) be the first derivative of 15 - 1/14*g**4 + 0*g + 4/21*g**3 - 1/7*g**a. Factor v(j).
-2*j*(j - 1)**2/7
Suppose 2*n - 12 = -5*p, 4*p + 36 = 9*p - 4*n. Suppose -50*r - 30*r + 160 = 0. Factor -16*q + 0*q**2 + q**r + p*q + 36.
(q - 6)**2
Let a(g) = -3*g**2 - 33*g - 51. Let i = 388 + -392. Let k(j) = -3*j**2 - 33*j - 50. Let l(q) = i*a(q) + 3*k(q). Suppose l(u) = 0. Calculate u.
-9, -2
Let p(f) be the first derivative of -f**4/4 - 4*f**3 - 47*f**2/2 - 60*f + 2337. Let p(n) = 0. Calculate n.
-5, -4, -3
Let o(h) be the first derivative of -45 + h**2 + 1/3*h**3 + 0*h. Factor o(d).
d*(d + 2)
Let j be (-154)/60 + 15 + -12. Let n(c) be the first derivative of 1/5*c**2 + 2/9*c**3 - 2/45*c**6 - 4/15*c + 6/25*c**5 - j*c**4 - 10. What is y in n(y) = 0?
-1/2, 1, 2
Let i(n) be the third derivative of n**6/60 + 61*n**5/330 + 5*n**4/22 + 116*n**2. Find t, given that i(t) = 0.
-5, -6/11, 0
Let 12449*y**2 + 7343*y**2 + 612*y**3 + 2028*y**2 + y**4 - 122292*y + 3*y**4 + 99856 = 0. What is y?
-79, 1, 4
Let h(l) be the second derivative of -l**6/10 - 15*l**5/4 - 45*l**4/4 + 25*l**3/2 + 69*l**2 - 1400*l. Solve h(t) = 0.
-23, -2, -1, 1
Let q(w) = -113*w**2 - 136*w - 43. Let k(o) = -170*o**2 - 204*o - 62. Let z(n) = -5*k(n) + 7*q(n). Suppose z(b) = 0. Calculate b.
-1, -9/59
Let -1959/2*l + 1/4*l**2 + 3837681/4 = 0. Calculate l.
1959
Suppose -41897 = -801*a - 5852. Factor -a*x - 675 - 3/4*x**2.
-3*(x + 30)**2/4
Factor -21/5*l**2 + 0 - 3/5*l**4 - 3*l**3 - 9/5*l.
-3*l*(l + 1)**2*(l + 3)/5
Let g(i) be the first derivative of 55 + 1/24*i**4 - 2/9*i**3 + 2/3*i - 1/12*i**2. Factor g(h).
(h - 4)*(h - 1)*(h + 1)/6
Suppose -3*b = 3*p - 6, -6*b - 5*p + 7 = -2*b. Suppose 4*u - 10 - 12 = -d, 5*u = 25. Solve 0 + 4/17*o + 2/17*o**4 - 10/17*o**b - 2/17*o**d + 6/17*o**5 = 0.
-1, 0, 2/3, 1
Let z = -1993 + 1981. Let j be (-3 + 99/110)/(z/10). Find t such that -1/4*t**3 - j*t + 5/4*t**2 + 3/4 = 0.
1, 3
Let n(t) = -9*t + 115. Let q be n(7). Factor -30*f + 0*f**2 + q + 25*f - 24*f - 2*f**2 - 21*f.
-2*(f - 1)*(f + 26)
Let b(r) = -r**3 + 3*r**2 + 5. Let n(a) = -4*a**3 + 543*a**2 + 69696*a + 25. Let y(s) = -5*b(s) + n(s). Factor y(m).
m*(m + 264)**2
Suppose -3/7*g**2 + 1803/7*g + 0 = 0. What is g?
0, 601
Let u = -