**4 - x*s**4 - 24*s - 12*s + 53 + 36*s**3 - 28*s**2.
-4*(s - 8)*(s - 1)**2*(s + 1)
Let o = 9359 - 9359. Let q(g) be the second derivative of o - 17/12*g**3 - 1/10*g**6 - 1/2*g**2 + 10*g - 5/8*g**5 - 17/12*g**4. Solve q(a) = 0.
-2, -1, -1/6
Let z(o) be the first derivative of -o**5/10 - 433*o**4/8 + 435*o**3/2 - 1307*o**2/4 + 218*o + 4030. Factor z(m).
-(m - 1)**3*(m + 436)/2
Factor 46/3*c**2 + 256/3*c + 70.
2*(c + 1)*(23*c + 105)/3
Factor 27*s**2 - s**5 - 238 + 53*s**3 + 238 - 22*s**4 + 59*s**4 - 12*s**4.
-s**2*(s - 27)*(s + 1)**2
Let s(a) be the first derivative of -1/16*a**4 + 0*a**3 + 0*a**2 - 114 + 0*a. Let s(b) = 0. What is b?
0
Let q(o) = -2*o - 2. Let p be q(-7). Let p*m + 12*m - 8*m + 3*m**3 - m - 18*m**2 = 0. What is m?
0, 1, 5
Suppose -922 - 196 = -784*k + 133 + 1101. Factor 0*b + 0*b**2 - 2/3*b**4 - 8/9*b**k + 0 + 2/9*b**5.
2*b**3*(b - 4)*(b + 1)/9
Solve -1947*y + 492*y**2 - 487*y**2 - 5422*y + 2179*y + 1346805 = 0 for y.
519
Let a(o) be the third derivative of -o**7/42 + 37*o**6/24 - 65*o**5/4 + 1415*o**4/24 - 310*o**3/3 + 185*o**2. Determine b, given that a(b) = 0.
1, 4, 31
Let t(m) be the first derivative of -4*m**3/3 - 76*m**2 + 6586. Factor t(g).
-4*g*(g + 38)
Let c(m) be the second derivative of -m**4/54 + 1148*m**3/27 + 383*m**2/3 - m - 2192. Factor c(d).
-2*(d - 1149)*(d + 1)/9
Suppose -18 + 10 = -2*h. Determine a so that 1 - h*a - 1 + 2 + 4 - 2*a**2 = 0.
-3, 1
Let n be (1 - (-12112)/(-9315)) + (-263)/526. Let z = -1/3726 - n. Factor -v**4 + 0*v - z*v**2 + 1/5*v**5 + 0 + 8/5*v**3.
v**2*(v - 2)**2*(v - 1)/5
Let i(c) = -c**3 + 369*c**2 - 472*c + 38276. Let x be i(368). What is h in -h**5 - h**2 - x*h**3 + h + 1/2 - 7/2*h**4 = 0?
-1, 1/2
Let z be (-13 - 4) + 7 + -2 + 14. Factor -2/15*l**3 + 2/15 + 2/5*l**z - 2/5*l.
-2*(l - 1)**3/15
Factor 9/4*m**3 - 11/4*m**2 + 0 - 1/4*m**4 - 1/4*m**5 + m.
-m*(m - 1)**3*(m + 4)/4
Let y = -22 - -26. Suppose -2*i**5 + 251 - 251 + 14*i**y - 12*i**3 = 0. What is i?
0, 1, 6
Let m(l) be the second derivative of -3*l**5/160 - 61*l**4/32 - 29*l**3/8 + 45*l**2/2 - 1891*l - 1. Let m(t) = 0. What is t?
-60, -2, 1
Let y(j) be the first derivative of j**4/12 - 262*j**3/9 - 527*j**2/6 - 88*j - 1100. Factor y(x).
(x - 264)*(x + 1)**2/3
Let k(w) be the first derivative of -65*w**4/4 + 115*w**3/3 + 15*w**2 - 753. Factor k(a).
-5*a*(a - 2)*(13*a + 3)
Let x(w) be the first derivative of -w**4/2 + 25*w**2 + 880. Find s, given that x(s) = 0.
-5, 0, 5
Let v be (2 - 58/28)/(3714/(-38997)). Suppose 0 - v*a**3 + 3/2*a**4 + 0*a**2 - 3/4*a**5 + 0*a = 0. What is a?
0, 1
Let b(f) be the third derivative of f**7/490 + f**6/280 - f**5/20 - f**4/56 + 3*f**3/7 + 872*f**2. Let b(a) = 0. What is a?
-3, -1, 1, 2
Let n be 3*((-14)/49 + 4 + 19/(-7)). Let d(k) be the first derivative of 4/9*k**3 + 2/3*k + k**2 + n. Factor d(p).
2*(p + 1)*(2*p + 1)/3
Factor -62*j + 16 - 18 + 58*j**2 + 6.
2*(j - 1)*(29*j - 2)
Suppose 461041/5 - 1357/5*i**2 + 459683/5*i + 1/5*i**3 = 0. Calculate i.
-1, 679
Suppose 3*d**2 - 184*d**4 + 83*d**4 + 39*d**2 - 2*d**5 + 34*d**3 + 91*d**4 = 0. Calculate d.
-7, -1, 0, 3
Let x(h) be the first derivative of 3*h**4/4 - 15*h**3 - 312*h**2 - 576*h - 2834. Let x(q) = 0. What is q?
-8, -1, 24
Let j(y) be the third derivative of -4*y**6/225 - 17*y**5/300 - y**4/60 + 4*y**3/3 - 2*y**2 + 48. Let l(g) be the first derivative of j(g). Factor l(d).
-2*(d + 1)*(16*d + 1)/5
Suppose -27*p - p = -28. Let a be (-1 + 0)/((-1)/p) - -2. Find g, given that 2/3*g + 0 + a*g**2 + g**3 - 4/3*g**4 = 0.
-1, -1/4, 0, 2
Let d(a) be the third derivative of a**7/210 - 7*a**5/20 + 5*a**4/6 + 806*a**2. Factor d(o).
o*(o - 4)*(o - 1)*(o + 5)
Factor 680943*s + 552*s**4 + 714432*s**2 + 656*s**5 - 1123*s**5 + 470*s**5 + 34038*s**3.
3*s*(s + 1)*(s + 61)**3
Let 3*b - 48*b**2 - 814*b**3 - 34*b**2 + 763*b**3 - 35*b**2 + 3*b + 72 = 0. What is b?
-2, -1, 12/17
Factor 0 + 640/17*m**2 + 2/17*m**5 - 1278/17*m**3 + 636/17*m**4 + 0*m.
2*m**2*(m - 1)**2*(m + 320)/17
Let s(r) be the second derivative of r**9/15120 + r**8/1120 - r**7/360 + 11*r**4/6 + 12*r + 3. Let n(u) be the third derivative of s(u). Factor n(j).
j**2*(j - 1)*(j + 7)
Factor 6*n**2 + 0 + 108*n - 2/3*n**3.
-2*n*(n - 18)*(n + 9)/3
Factor 4*m**2 - 762 - 243 + 249 + 80*m.
4*(m - 7)*(m + 27)
Let p(v) be the third derivative of 11*v**7/70 + 17*v**6/20 + 6*v**5/5 + 7*v**2 + v - 84. What is o in p(o) = 0?
-2, -12/11, 0
Let s(n) be the second derivative of n**6/8 + 43*n**5/80 - n**4/8 - n - 100. Determine b so that s(b) = 0.
-3, 0, 2/15
Let p = -1449 + 1452. Let f(g) be the first derivative of g**2 + 2/3*g**p - 2*g - 19 - 1/2*g**4. Factor f(w).
-2*(w - 1)**2*(w + 1)
Let g be 103211184/16382880 - 15/18. Let a = 2/34131 + g. Factor -4/3 - 8/15*k**2 + a*k.
-2*(k - 10)*(4*k - 1)/15
Let v = -55/172 - -3481/1204. Find l, given that -33/7*l + 30/7*l**3 + 0*l**2 + 18/7*l**4 + 3/7*l**5 - v = 0.
-3, -2, -1, 1
Let c = -23940 + 23947. Let x(r) be the third derivative of 0*r**3 - 10*r**2 + 1/210*r**c + 0*r + 0*r**5 + 0*r**4 + 0 + 1/120*r**6. Factor x(q).
q**3*(q + 1)
Let z(w) be the first derivative of w**4 - 27 + 8*w**3 + 1/20*w**5 + 21/2*w**2 + 0*w. Let k(u) be the second derivative of z(u). Factor k(a).
3*(a + 4)**2
Suppose 0 = 4*i + 32*i - 72. Let f = 2963/5301 - 2/589. Factor -1/9*h**i - f*h - 4/9.
-(h + 1)*(h + 4)/9
Let s(i) be the third derivative of -i**5/15 - 1366*i**4/3 - 3731912*i**3/3 + 3*i**2 - 2*i - 164. Let s(j) = 0. What is j?
-1366
Factor -1/4*w**3 - 31/2*w**2 + 189/2 + 69/4*w.
-(w - 3)*(w + 2)*(w + 63)/4
Let m be (3 - (-6)/(-2))/(-2). Let v(o) be the first derivative of 4/9*o**4 + 20 + 0*o**3 - 4/9*o**5 + 0*o**2 + m*o + 2/27*o**6. What is w in v(w) = 0?
0, 1, 4
Let w(j) be the second derivative of j**5/140 - 257*j**4/4 + 462343*j**3/2 - 831755057*j**2/2 - 5455*j. Solve w(t) = 0 for t.
1799
Let v(s) be the third derivative of 0 + 4*s**3 - 1/18*s**5 - 2*s + 41*s**2 + 1/6*s**4 + 1/360*s**6. Suppose v(o) = 0. What is o?
-2, 6
Let a(x) be the first derivative of 2*x**3/3 + 522*x**2 + 2080*x - 7345. What is v in a(v) = 0?
-520, -2
Suppose 0 = -y - 193 + 209. Suppose y*o + 2*o = 0. Factor 1/10*m**4 + 0*m**3 + o*m + 1/10 - 1/5*m**2.
(m - 1)**2*(m + 1)**2/10
Let y be (-5)/(-45) + (-1520)/90 + 17. Let -2/9*x**3 + 2/9*x**4 + 2/9*x + 0 - y*x**2 = 0. What is x?
-1, 0, 1
Let w(y) = -y**2 - 174*y + 10. Let j(l) = -l**2 - 169*l + 15. Let x(u) = 2*j(u) - 3*w(u). Let x(v) = 0. Calculate v.
-184, 0
Let j(b) be the second derivative of 0*b**4 + 7/24*b**5 + 2 + 0*b**2 + 1/12*b**6 + 4*b - 5/9*b**3. Let j(w) = 0. What is w?
-2, -1, 0, 2/3
Suppose -66 = 4*b - 78. Solve -43*y + 4*y**4 - b*y**2 - y**5 - 3*y**2 + 10*y**3 - 11*y**3 + 43*y = 0 for y.
-1, 0, 2, 3
Let v(i) be the first derivative of i**9/2016 + i**8/280 + i**7/112 + i**6/120 + 52*i**3/3 + 39. Let n(c) be the third derivative of v(c). Factor n(p).
3*p**2*(p + 1)**2*(p + 2)/2
Suppose -4 = 25*r - 29*r. Let i be -4*(-5 + 2 + r). Factor -i - 8 + 6*h - h**2 + 11.
-(h - 5)*(h - 1)
Let h be (-73)/(-10) - 366/1220. Let g(u) be the first derivative of 1/34*u**4 - 4/17*u - 3/17*u**2 + h + 0*u**3. Find t, given that g(t) = 0.
-1, 2
Suppose 0 = 5*d + w - 6*w - 5, 3*w = -4*d + 18. Let k be (d/(-6) + -1)*16/(-36). Let -k + 0*b + 2/3*b**2 = 0. Calculate b.
-1, 1
Factor -5 - 5 + 2 + 98*w**2 - 10*w**3 - 24 + 14 - 70*w.
-2*(w - 9)*(w - 1)*(5*w + 1)
Suppose 7*x - 3*x = 2*w - 102, 5*w = -2*x - 33. Let p be ((-8)/x)/(3/18 + 0). Suppose -6*r**2 - 2*r**2 + 4*r**p + 28*r = 0. Calculate r.
0, 7
Let x(k) be the first derivative of k**3/15 + 16*k**2/5 - 228*k/5 + 7952. Factor x(p).
(p - 6)*(p + 38)/5
Let a = 2 - -1. Suppose 9 = 3*x - a*r - 3, 4*x - 3*r - 14 = 0. Factor 8*t**4 - 5*t**3 + 5*t**5 + 2*t**4 - 7*t**4 - 8*t**4 + 5*t**x.
5*t**2*(t - 1)**2*(t + 1)
Let t(k) = k**3 + k**2 - 5*k - 1. Let b(d) = -d**2 - 2*d - 2. Let m be b(-3). Let v(c) = -c**3 - 2*c**2 + c. Let o(i) = m*t(i) - 10*v(i). Factor o(s).
5*(s + 1)**3
Let i = 993352/37239 + -104/12413. Factor -8/3*h**3 - 16 + 4/3*h**4 - 28/3*h**2 + i*h.
4*(h - 2)**2*(h - 1)*(h + 3)/3
Suppose 5*f - 13 = d, f + 9 = -d + 4*f. Let k be -21*(-2)/6 + 3/d. Factor 0 - 2/3*i**3 - 4*i**2 - k*i.
-2*i*(i + 3)**2/3
Let y(p) be the second derivative of p**7/189 - p**5/5 + 2*p**4/27 + 19*p**3/9 + 4*p**2 - 67*p + 2. Determine k, given that y(k) = 0.
-4,