
Let p = 53 - 48. Let -7*y**2 - p*y**3 + 3*y**3 - 3*y - 5*y - 3*y**2 = 0. Calculate y.
-4, -1, 0
Determine l so that 93/2*l**3 - 7095/4*l - 9075/4 - 3/4*l**5 - 39/4*l**4 + 1101/2*l**2 = 0.
-11, -1, 5
Let f(u) be the third derivative of u**7/70 - u**6/10 - 93*u**5/10 - 161*u**4/2 + 833*u**3/2 - u**2 - 25*u. Suppose f(k) = 0. Calculate k.
-7, 1, 17
Let r be (-2 - 0)/((-1)/(-3)) - -6. Suppose 5*l = -u + 27, 2*l + r - 2 = 4*u. Factor 9/7*x - 3/7 + 3/7*x**3 - 9/7*x**u.
3*(x - 1)**3/7
Let u be ((-3)/32)/(2/40)*2688/(-160). Let 3/2*n**3 - u - 69/2*n**2 + 129/2*n = 0. What is n?
1, 21
Let x(d) = -d**3 - 4*d**2 + 7*d + 4. Let p be x(-5). Let t be 2/p + 52/12. Let 5*a**4 + t*a**3 + 5*a**2 + 6*a**3 + 2*a**2 - 2*a**2 = 0. Calculate a.
-1, 0
Let c(l) be the third derivative of -l**7/2520 + l**6/180 - l**5/72 - 29*l**3/6 + 30*l**2. Let z(j) be the first derivative of c(j). What is r in z(r) = 0?
0, 1, 5
Suppose -2*n + n = -5*o + 18, 3*o + 5*n = 22. Determine h, given that -34*h - 28*h**4 - 9*h**2 - 4*h**2 + 33*h**o + h**5 + 44*h - 3*h**3 = 0.
-5, -2, 0, 1
Let r(m) be the second derivative of m**4/28 - 5*m**3/7 + 24*m**2/7 - 2794*m. What is l in r(l) = 0?
2, 8
Let l(b) be the first derivative of b**7/420 + b**6/60 - b**5/15 - 20*b**3/3 + 70. Let t(y) be the third derivative of l(y). Factor t(u).
2*u*(u - 1)*(u + 4)
Let u(m) = 404*m**2 - 12*m - 13. Let l be u(-1). Let r = l - 403. Factor -4/3*z + z**4 + 5/3*z**3 + r - 4/3*z**2.
z*(z - 1)*(z + 2)*(3*z + 2)/3
Let s be -1 + (-3)/(-36)*4*138. Factor 45 - s - 4*m + 0*m + 2*m**2.
2*m*(m - 2)
Let h(u) be the third derivative of 0*u + 16/15*u**3 + 41/300*u**6 + 0 + 145*u**2 - u**4 + 1/75*u**5 - 1/240*u**8 + 3/350*u**7. Determine s so that h(s) = 0.
-2, 2/7, 1, 4
Let z = 50 - 47. Suppose z*l = l + 296. Factor -58*w - 5*w**3 - 108*w**2 + l*w**2 + 23*w - 45*w.
-5*w*(w - 4)**2
Let t = -1/25282 - 40628169/126410. Let d = -321 - t. Solve 6/5*k**2 - d*k**3 - 6/5*k + 2/5 = 0 for k.
1
Suppose 0 = -2348*l + 2353*l - 82210. Factor -16450*i**2 + 4*i**5 - 1 - 12*i**3 + l*i**2 + 1.
4*i**2*(i - 2)*(i + 1)**2
Let w = 93302441/18 - 5185884. Let g = -4755/2 - w. Factor -8/9 - 104/9*y - g*y**2.
-2*(13*y + 2)**2/9
Let l(p) be the third derivative of -p**7/30 + 29*p**6/120 + 5*p**5/2 + 7*p**4/6 - 100*p**3/3 - 2262*p**2. Factor l(d).
-(d - 1)*(d + 2)**2*(7*d - 50)
Let g be (-35 - -2)*(0 + (9 - 10)). Suppose 56 = -g*v + 155. Let -4*p**v - 1/2*p - 5*p**2 + 1/2 = 0. Calculate p.
-1, -1/2, 1/4
Let f(x) be the first derivative of -x**7/525 + x**6/75 - x**5/50 + 2*x**2 - 3*x - 55. Let l(s) be the second derivative of f(s). Suppose l(g) = 0. Calculate g.
0, 1, 3
Let i = -302343 - -302345. Solve 0*w**3 + 0*w + 0 - 1/7*w**4 + 4/7*w**i = 0.
-2, 0, 2
Factor 46*v**2 + 66*v**2 - 19*v**2 + 334*v - 823*v + 9*v**2 - v**3 + 388.
-(v - 97)*(v - 4)*(v - 1)
Let l(u) = u**2 - u - 3. Let f(q) = -4*q**2 - 9*q + 26. Let c(o) = -f(o) - 5*l(o). Let i be c(13). Factor -6/11*n**5 + 8/11*n**3 + 8/11*n**4 + 0*n**i + 0 + 0*n.
-2*n**3*(n - 2)*(3*n + 2)/11
Suppose -202*v + 34*v + 504 = 0. Let s(g) be the first derivative of -16/25*g**5 - 1/15*g**6 + 0*g + 4 + 0*g**2 - 32/15*g**v - 2*g**4. Factor s(i).
-2*i**2*(i + 2)**2*(i + 4)/5
Let z(f) be the second derivative of -f**5/50 + 17*f**4/30 + 16*f**3/3 + 84*f**2/5 - 13*f + 111. Factor z(s).
-2*(s - 21)*(s + 2)**2/5
Let t = -2366 - -2372. Let h(u) be the first derivative of u**3 + 7/2*u**t + 0*u - 18 - 3*u**2 + 57/5*u**5 + 45/4*u**4. Factor h(k).
3*k*(k + 1)**3*(7*k - 2)
Let p(r) = -r**2 - 59*r + 797. Let g be p(11). Let n(b) be the first derivative of 6*b**3 - 2/5*b**5 + 1 + 0*b + g*b**2 - 3/2*b**4. Factor n(j).
-2*j*(j - 3)*(j + 3)**2
Let b(r) be the second derivative of -23*r - 6 + 21/11*r**2 - 1/66*r**4 + 20/33*r**3. Factor b(s).
-2*(s - 21)*(s + 1)/11
Suppose 0 = 8*b - 9*b + 2. Factor -48*g + 8*g**2 + 12*g**b - 17*g**2.
3*g*(g - 16)
Suppose 158*u + 148*u - 317*u = -44. What is o in -12/7*o - 38/7*o**2 - 16/7*o**3 + 0 + 10/7*o**u = 0?
-1, -2/5, 0, 3
Suppose -4*u**4 + 0 - 2/3*u**5 + 0*u**2 + 0*u - 16/3*u**3 = 0. What is u?
-4, -2, 0
Let z = 5298 - 5296. Let w(n) be the second derivative of 0 + 16/9*n**3 - 28*n + 64/3*n**z + 1/18*n**4. Suppose w(i) = 0. Calculate i.
-8
Let p(r) be the third derivative of -4*r**3 + 4/35*r**7 + 1/3*r**6 + 0*r + 1/84*r**8 + 0*r**5 - 106*r**2 - 11/6*r**4 - 1. Suppose p(y) = 0. Calculate y.
-3, -2, -1, 1
Let l = 594713 - 594711. Find t such that 2/5*t**4 - 54/5*t**3 + 56/5 + 54/5*t - 58/5*t**l = 0.
-1, 1, 28
Let i be -34 + 60 - ((-58)/(-3) + -4). Let i*f**4 + 2*f + 0 + 2*f**5 + 52/3*f**3 + 32/3*f**2 = 0. What is f?
-3, -1, -1/3, 0
Let i be (3760/(-224))/(-47) + (-7)/(-14). Determine r so that 4/7*r**3 + 0*r - i*r**4 + 2/7*r**5 + 0 + 0*r**2 = 0.
0, 1, 2
What is p in 38/3*p**2 + 12*p + 2/3*p**3 + 0 = 0?
-18, -1, 0
Suppose 5*u - 18 = 4*o - 3*o, 5*o + 6 = 4*u. Let q be (u - 11) + 21 + -12. Factor 16/15*g + 32/15 + 2/15*g**q.
2*(g + 4)**2/15
Let j be (-10)/20*(0 + (-28 - 0)). Suppose 10*g - j*g + 4 = 0. Find h such that -g - 1/2*h + 1/2*h**2 = 0.
-1, 2
Solve -47978*w**5 - 2*w**4 - 972*w + 648*w**2 + 3*w**3 + 432 - 110*w**3 + 47979*w**5 = 0 for w.
-12, 1, 6
Let s(r) be the third derivative of -1/30*r**5 + 0*r - 217*r**2 - 19/6*r**4 - 361/3*r**3 + 0. Factor s(f).
-2*(f + 19)**2
Let w(j) = 2*j**2 - 3*j + 1. Suppose 0 = -10*t - 21 + 1. Let b be w(t). Factor b*y**2 - 28*y**2 + 22*y**2 - 12*y + 3*y**3.
3*y*(y - 1)*(y + 4)
Let j(x) be the second derivative of -x**6/240 + x**5/16 - 37*x**4/96 + 5*x**3/4 - 9*x**2/4 + 36*x - 13. Factor j(r).
-(r - 3)**2*(r - 2)**2/8
Let f(c) be the second derivative of 3/2*c**2 - 6 - 1/4*c**5 - 11/6*c**3 + 2*c + 13/12*c**4. Factor f(x).
-(x - 1)**2*(5*x - 3)
Let b(d) = -9*d**2 + 63*d - 5. Let a(l) = 26*l**2 - 190*l + 14. Let u = 47 - 61. Let y(o) = u*b(o) - 5*a(o). Factor y(m).
-4*m*(m - 17)
Let c(v) be the first derivative of v**3/9 + 160*v**2 + 76800*v - 2387. Factor c(y).
(y + 480)**2/3
Let z be ((-60)/72)/((-2)/6)*2. Let v(y) = 9*y**4 + 6*y**3 - 27*y**2 - 28*y - 4. Let o(p) = p**4 + p**3 - p**2 + 1. Let w(n) = z*v(n) - 40*o(n). Factor w(f).
5*(f - 6)*(f + 1)**2*(f + 2)
Factor 64*k - 25203*k**2 + 50412*k**2 - 25205*k**2 + 60.
4*(k + 1)*(k + 15)
Let n be (-1)/((-2)/(-18) - (-32)/(-144)). Suppose n = -8*c + 25. Factor 1/3*l**5 - 2*l**c + 0*l + 0 + 2/3*l**4 - 5/3*l**3.
l**2*(l - 2)*(l + 1)*(l + 3)/3
Let t(s) be the first derivative of -s**7/2520 + s**6/90 - s**3/3 - 27*s + 88. Let b(f) be the third derivative of t(f). Factor b(h).
-h**2*(h - 12)/3
Determine o so that -61 - 2*o**2 - 55*o + o + 2 - 12 - 149 = 0.
-22, -5
Let o(l) be the first derivative of -l**6/216 + 11*l**5/72 - 25*l**4/36 + l**3 + 3*l + 73. Let k(a) be the third derivative of o(a). Factor k(j).
-5*(j - 10)*(j - 1)/3
Solve -168*l**4 - 34*l**2 + l + 52*l + 0*l**5 + 175*l**4 + l**5 - 21 - 2*l**3 - 4*l**3 = 0.
-7, -3, 1
Solve -289*s**2 - 3*s**4 - 3*s**5 - 3246*s**3 + 986*s**2 + 1650*s + 3507*s**3 + 638*s**2 = 0 for s.
-5, -2, 0, 11
Let s = 77535 - 77532. Suppose -120/7*u**2 + 1200/7*u + 4/7*u**s - 4000/7 = 0. Calculate u.
10
Let u(w) be the second derivative of w**2 - 7/2*w**3 + 5*w**4 + 100*w - 5/4*w**5 + 2. Factor u(o).
-(o - 2)*(5*o - 1)**2
Let k(q) be the second derivative of 46 + 9/20*q**2 + q - 1/10*q**3 + 1/120*q**4. Solve k(j) = 0 for j.
3
Let z(t) = 14*t - t**2 + 2 - 27*t + 15*t. Let w be z(2). Solve -31*l**5 - 168*l**3 + 2*l**5 - 36*l**w + 13*l**5 - 100*l**4 = 0.
-3, -1/4, 0
Let c be (-2 - -98)*(128/24)/8. Factor -230*f**2 - 16*f - f**4 - c - 3*f**4 + 278*f**2 - 4*f**3.
-4*(f - 2)**2*(f + 1)*(f + 4)
Suppose -o + 2*y - 12 = -2*y, -2*o + 4 = -y. Let 717*z**4 - 120 - 3327*z**o - 2708*z**3 - 7830*z**2 + 1660*z - 1035*z**4 + 16073*z**3 = 0. Calculate z.
2/9, 3
Let z(u) be the third derivative of u**6/80 + 43*u**5/120 - 5*u**4/3 - 7*u**2 + 286. Suppose z(d) = 0. What is d?
-16, 0, 5/3
Suppose 0 = 4*j + 4*k - 12, -k - 5 - 10 = -2*j. Let 5*c**2 - 5817 + 5817 + c**3 + j*c = 0. What is c?
-3, -2, 0
Determine v, given that -20/3*v**4 + 1912/9*v**2 + 1792/3*v - 2/9*v**5 - 2048 - 118/3*v**3 = 0.
-16, -4, 3
Let c(a) = -a**2 + 9*a + 14. Suppose -4*g = 2*s - 2*g - 20, -3*s + 30 = 5*g. Let h be c(s). Suppose -6 + 6 - 4*d**2 - 8*d - h = 0. Calculate d.
-1
Let v(a) be the third derivative of -2/105*a**6 + 0*a**4 + 0*