. Let y(u) = 6*p(u) + 52*s(u). Factor y(h).
-4*h**2
Let t(n) = -n**3 - 5*n**2 + 6*n. Let k be t(-6). Let x = 949/5 + -2827/15. Factor 2*b**5 + x*b**4 + 0*b**2 + 0*b**3 + k*b + 0.
2*b**4*(3*b + 2)/3
Let o be (110/50)/(-1)*-5 - 7. Factor 3/2*r**2 + 0 - 1/2*r**o + 0*r - r**3.
-r**2*(r - 1)*(r + 3)/2
Let r(b) = b**3 - 23*b**2 + 13*b + 200. Let j be r(22). Factor -j*a**2 + 0 + 4/3*a + 2/3*a**3.
2*a*(a - 2)*(a - 1)/3
Let 8685*s**3 - 33*s - 8681*s**3 + s + 28*s**2 = 0. Calculate s.
-8, 0, 1
Let l(p) = -p**2 - 8*p - 1. Let t be l(-7). Suppose 1 = -4*k + 9. Let -2*x**2 - t*x - 4*x**k + 4*x**2 = 0. Calculate x.
-3, 0
Let i(f) = 5*f**2 + 36*f - 50. Let q(w) = w**2 + w + 1. Let k(u) = i(u) - 6*q(u). Factor k(x).
-(x - 28)*(x - 2)
Let l be (-39 - (53 - 94)) + (-2 - 0/(-2)). Factor -2/9*q - 4/9*q**2 + l - 2/9*q**3.
-2*q*(q + 1)**2/9
Let c(d) be the first derivative of -1/3*d**6 - d - 12 - 1/2*d**4 - 4/3*d**3 + d**5 + 2*d**2. Solve c(n) = 0 for n.
-1, 1/2, 1
Let y(q) be the second derivative of 5*q**9/3024 - q**8/168 + q**6/36 - q**5/24 - 4*q**3/3 - 5*q. Let t(i) be the second derivative of y(i). Factor t(v).
5*v*(v - 1)**3*(v + 1)
Let b(q) be the first derivative of 4/3*q**2 + 1/3*q**3 + 6 - q. Solve b(v) = 0.
-3, 1/3
Let o(r) = 7*r - 52. Let p be o(9). Suppose 4*c - 6 = -2, 3*k + 5*c - p = 0. Find a such that 0 - 2/15*a**k - 2/15*a = 0.
-1, 0
Let q = 50 - 648/13. Let g(n) be the first derivative of 0*n - 14/13*n**4 + q*n**2 - 2/39*n**3 - 3. Factor g(v).
-2*v*(4*v - 1)*(7*v + 2)/13
Let p(k) be the third derivative of 0*k**3 - 1/945*k**7 + 0*k - 1/135*k**6 + 29*k**2 - 1/54*k**5 - 1/54*k**4 + 0. Factor p(d).
-2*d*(d + 1)**2*(d + 2)/9
Factor -26636 + 14340 - 3*s**2 - 32356 + 732*s.
-3*(s - 122)**2
Let z(f) be the second derivative of 121*f**4/18 + 44*f**3/9 + 4*f**2/3 - 71*f. Suppose z(c) = 0. Calculate c.
-2/11
Let z(r) = r**2 + 4*r + 6. Let v be z(-4). Let t be ((-12)/(-5))/(v/20). Factor 3*u**2 + 8 - t + 3*u.
3*u*(u + 1)
Let r be (-2)/240*(-1025)/82. Let j(m) be the second derivative of -r*m**4 + 1/12*m**3 - 5*m + 0*m**2 + 0 - 7/80*m**5. Suppose j(a) = 0. What is a?
-1, 0, 2/7
Let b = -125 - -127. Factor 48*c**5 + 6*c**4 - 45*c**5 - 6*c**b - c**3 - 2*c**3.
3*c**2*(c - 1)*(c + 1)*(c + 2)
Factor 4*i**4 - 24*i**3 - 46*i**3 - 44*i**3 - 50*i**3.
4*i**3*(i - 41)
Suppose 0 = -p - 44 + 48. Let k(o) be the first derivative of -1/18*o**p + 0*o - 6 + 1/9*o**2 + 0*o**3. Solve k(u) = 0 for u.
-1, 0, 1
Let o(k) be the first derivative of k**4/28 - k**3/21 - 25*k**2/14 + 25*k/7 - 583. Let o(f) = 0. What is f?
-5, 1, 5
Let t(c) = -60*c - 56. Let v be t(-1). Suppose 13/3*k + 1/3*k**5 - 1 + 6*k**3 - 7/3*k**v - 22/3*k**2 = 0. What is k?
1, 3
Let l(h) = 4*h - 24. Let t be l(7). Let k = 223/1206 + 5/134. Suppose 8/9*z**t - 22/9*z**3 + 2*z**2 - 2/9*z - k = 0. Calculate z.
-1/4, 1
Factor 44 + 61*k + 107*k + 2*k**2 - 122*k.
2*(k + 1)*(k + 22)
Let l(g) be the second derivative of g**7/168 + g**6/12 - 37*g**5/80 + 13*g**4/24 + 15*g. Let l(o) = 0. What is o?
-13, 0, 1, 2
Let x(k) be the first derivative of 3*k**4/20 + 249*k**3/5 + 62001*k**2/10 + 1715361*k/5 + 462. Solve x(y) = 0.
-83
Let o(l) be the third derivative of 0 - 4/1155*l**7 + 1/660*l**6 + 0*l**4 + 0*l**3 + 0*l + 1/616*l**8 + 0*l**5 + 8*l**2. What is i in o(i) = 0?
0, 1/3, 1
Let c(i) be the first derivative of -5*i**3/12 - 15*i**2/8 + 5*i - 64. Factor c(v).
-5*(v - 1)*(v + 4)/4
Let h(f) = f**3 - f**2 + f - 1. Let w(g) = 14*g**4 + 29*g**3 + 25*g**2 + g + 3. Let x(y) = -3*h(y) - w(y). Factor x(d).
-2*d*(d + 1)**2*(7*d + 2)
Let v = 24 + -20. Suppose 0*r + r - v = 0. Factor 3*p**2 + 3*p**2 + r*p**4 - 8*p**3 - 2*p**2.
4*p**2*(p - 1)**2
Let u(j) be the third derivative of -j**7/105 - 16*j**6/5 - 4703*j**5/15 - 1520*j**4 - 9025*j**3/3 + 20*j**2 - 2*j. Factor u(d).
-2*(d + 1)**2*(d + 95)**2
Let v be 54/(-72) + (-11)/(-4). Let t be (-66)/(-770) + (v/5)/2. Factor 18/7 + 12/7*j + t*j**2.
2*(j + 3)**2/7
Solve -18*x + 33*x**2 - 8685 + 8685 - 3*x**4 - 12*x**3 = 0 for x.
-6, 0, 1
Suppose -144*h + 76 = -106*h. Let r(f) be the first derivative of 11 + 2/5*f - 2/15*f**3 - 1/10*f**4 + 1/5*f**h. Suppose r(i) = 0. What is i?
-1, 1
Let f(w) be the second derivative of -w**5/90 + w**4/27 + w**3/27 - 2*w**2/9 + 9*w. Factor f(r).
-2*(r - 2)*(r - 1)*(r + 1)/9
Let f(y) be the third derivative of -y**6/96 - y**5/48 + 25*y**4/96 - 5*y**3/8 - 65*y**2. Factor f(l).
-5*(l - 1)**2*(l + 3)/4
Let f(v) be the first derivative of -v**7/420 - v**6/60 - v**5/40 + v**4/12 + v**3/3 + 7*v**2 - 33. Let m(h) be the second derivative of f(h). Factor m(t).
-(t - 1)*(t + 1)*(t + 2)**2/2
Let v(t) be the second derivative of 5/168*t**7 - 1/16*t**5 - 5/48*t**4 + 0*t**2 + 0*t**3 + 1/24*t**6 + 3*t + 0. Factor v(b).
5*b**2*(b - 1)*(b + 1)**2/4
Let 53/2*d + 2809/4 + 1/4*d**2 = 0. Calculate d.
-53
Factor 37*t**2 + 4*t**3 + 0*t**2 - 34*t - 14*t**2 + 7.
(t - 1)*(t + 7)*(4*t - 1)
Let z(m) be the third derivative of -m**6/40 - 7*m**5/60 - 5*m**4/24 - m**3/6 + 16*m**2 - 2*m. Factor z(h).
-(h + 1)**2*(3*h + 1)
Let g(j) = -28*j + 1. Let r be g(-3). Let w be r/25 - 4/10. Factor 15*n**2 - 30*n**2 + 17*n**2 + 4*n - 6*n**w.
-2*n*(n - 1)*(3*n + 2)
Let l be -3 - (-6)/((-12)/(-10)). What is w in w**3 - 41*w + 7*w**l + w**3 + 47*w + w**2 = 0?
-3, -1, 0
Let w = 5253/15757 + -2/47271. Factor -64/3 + 5*j**2 - 16*j - w*j**3.
-(j - 8)**2*(j + 1)/3
Let r(f) = -5*f**2 + 545*f + 5825. Let k(i) = -2*i**2 + 182*i + 1942. Let x(c) = 17*k(c) - 6*r(c). Suppose x(u) = 0. Calculate u.
-22
Factor 5 + 388*c**3 + 6*c**2 - 15*c - 381*c**3 - 3.
(c - 1)*(c + 2)*(7*c - 1)
Let b = 6549 - 6545. Suppose 0*m**2 - 2/5*m**5 + 0*m - 2/5*m**3 + 0 - 4/5*m**b = 0. Calculate m.
-1, 0
Let l(v) be the first derivative of v**4/32 - 2*v**3/3 + 15*v**2/16 + 171. Determine r so that l(r) = 0.
0, 1, 15
Let d(c) be the second derivative of -3*c**5/20 + 13*c**4 + c**3/2 - 78*c**2 - 7*c + 17. Factor d(o).
-3*(o - 52)*(o - 1)*(o + 1)
Suppose -17 - 1 = -4*r + 2*j, j = 4*r - 15. Let a(u) be the first derivative of -8/7*u - 2/21*u**r - 3 + 4/7*u**2. Let a(c) = 0. What is c?
2
Suppose -v = -42 + 38. Let t(l) be the first derivative of -1/2*l - 5 - 5/4*l**2 - 5/3*l**3 - 5/4*l**v - 1/12*l**6 - 1/2*l**5. Determine c so that t(c) = 0.
-1
Let v(g) be the second derivative of 0*g**3 + 0*g**2 - 1/195*g**6 + 1/130*g**5 + 0 + 36*g + 1/39*g**4. Factor v(r).
-2*r**2*(r - 2)*(r + 1)/13
Let w(h) = -6*h**4 - 19*h**3 + 14*h**2 + 69*h + 39. Let f(u) = -u**4 + u**3 - u**2 - u - 1. Let t(i) = f(i) - w(i). Let t(s) = 0. Calculate s.
-4, -1, 2
Suppose 4*g + 6 = 6*g. Let t be 1/(0 - g/(-9)). Find v such that 2/3*v**5 + 0 + 4/3*v**2 - 4/3*v**4 - 2/3*v + 0*v**t = 0.
-1, 0, 1
Let i be -1 + (4495/(-750) - -7). Let p(g) be the second derivative of 0*g**2 + 0 + 3*g + 1/20*g**4 + i*g**6 - 3/100*g**5 - 1/30*g**3. Factor p(y).
y*(y - 1)**3/5
Let n(u) = 7*u**3 - 25*u**2 + 35*u - 17. Let m(k) = 8*k**3 - 25*k**2 + 35*k - 18. Let r(b) = 2*m(b) - 3*n(b). Suppose r(j) = 0. Calculate j.
1, 3
Find w such that 3/8*w**3 + 369/8*w**2 + 0 + 183/4*w = 0.
-122, -1, 0
Let l(z) be the third derivative of -9*z**8/112 + 249*z**7/70 - 2107*z**6/40 + 5211*z**5/20 - 351*z**4 + 216*z**3 - 290*z**2. Suppose l(w) = 0. Calculate w.
1/3, 3, 12
Solve j**4 - 82*j + 96 + 76*j**2 + 135*j - 16*j**3 - 5*j**4 + 131*j = 0.
-6, -1, 4
Let f be 36/(-27)*27/(-18). Factor -2/3*q**f + 1/3*q**3 + 0 + 0*q.
q**2*(q - 2)/3
Let u(m) be the third derivative of 3/20*m**5 - 3/8*m**4 - 2*m**2 + 0 - 2*m + 1/2*m**3 - 1/40*m**6. Factor u(c).
-3*(c - 1)**3
Determine t so that 3*t**5 - 5056*t**2 - 6*t**3 + 5056*t**2 + 3*t = 0.
-1, 0, 1
Let t = 5/546 + 113/910. Find x such that 8/15 + 8/15*x - 2/15*x**3 - t*x**2 = 0.
-2, -1, 2
Let o(v) = -v**3 - v**2 - v + 1. Let y(c) = -6*c**2 - 2*c**2 - 3*c**2 - 7*c + 17*c**2 + 3. Let l(z) = -3*o(z) - 3*y(z). Factor l(x).
3*(x - 2)**2*(x - 1)
Let c be 34/4*((-3)/50)/(-3). Let w = 2/25 + c. Solve -1/4*y**4 + 0 + 1/4*y**2 - 1/4*y**3 + w*y = 0 for y.
-1, 0, 1
Let x = -5776 - -5781. Determine i so that 0 - i**2 - 99/4*i**x - 141/4*i**4 - 14*i**3 + 0*i = 0.
-2/3, -1/11, 0
Let d(h) = -h**3 + 180*h**2 + h - 180. Let o(n) = n**3 - 90*n**2 - n + 90. Let r(x) = -2*d(x) - 5*o(x). Find s such that r(s) = 0.
-1, 1, 30
Determine p so that 6*p**3 - 800*p - 1750 + 36*p**2 + 13*p**3 - 96*p**2 - 3*p