 8 - 11*o + 10*o**g - 5*o.
-2*(o - 2)**2*(o - 1)
Let s = -28437/112 + 4131/16. Let -30/7*r**2 + s - 2/7*r**3 + 2/7*r = 0. What is r?
-15, -1, 1
Suppose 92*m - 8 = 90*m. Factor 4*o**m + 7*o**4 + 4*o**5 - 130*o + 33*o**4 + 360*o**2 + 184*o**3 + 454*o + 108.
4*(o + 1)**2*(o + 3)**3
Let a = 293/60 + -209/60. Solve 11/5*z + 1 + 1/5*z**3 + a*z**2 = 0.
-5, -1
Let n(d) = 7*d**4 + 26*d**3 - 129*d**2 + 160*d - 160. Let t(b) = -3*b**4 - 13*b**3 + 64*b**2 - 84*b + 80. Let p(k) = 4*n(k) + 9*t(k). Factor p(s).
(s - 5)*(s - 4)*(s - 2)**2
Suppose 19*f - 380 = 855. Let z = -253/4 + f. Determine m, given that -7/4*m**2 - 23/4*m**3 + 4*m**5 - 1/4 + z*m + 2*m**4 = 0.
-1, 1/4, 1
Let z be 8/(-52) - 2/52*74. Let p(k) = 15*k**2 + 460*k + 1240. Let x(l) = -2*l**2 - 66*l - 177. Let j(y) = z*p(y) - 20*x(y). Let j(q) = 0. What is q?
-6
Let q(z) = z**3 - 71*z**2 - 472*z - 57. Let f be q(-6). Let 4*r + f*r**3 - 1/2*r**4 + 0 + 15/2*r**2 = 0. What is r?
-1, 0, 8
Let g be ((-4)/10 - (-31)/40)/((-13)/((-260)/6)). Let u be (2/16)/(1/50). Factor g*m**3 + 0 + 5*m - u*m**2.
5*m*(m - 4)*(m - 1)/4
Let -419/7 - 1254/7*j**2 + 1256/7*j + 1/7*j**4 + 416/7*j**3 = 0. Calculate j.
-419, 1
Let c(g) be the second derivative of -3*g**5/20 + 9*g**4/4 + 241*g**3/2 + 693*g**2/2 + 2*g + 11. Determine v, given that c(v) = 0.
-11, -1, 21
Let s(t) be the second derivative of t**4/4 + 21*t**3/2 - 465*t**2 + 6*t - 147. Factor s(v).
3*(v - 10)*(v + 31)
Let j be (-10)/105*3654/(-174). Let a be (-6)/(-8) - 9/18. Factor 1/2*f + a + 1/4*f**j.
(f + 1)**2/4
Let v = 1345/53 - 2637/106. Factor 26 + 17/2*t + v*t**2.
(t + 4)*(t + 13)/2
Let s(u) be the second derivative of -1/3*u**4 - 2*u + u**2 + 1/21*u**7 + 1/3*u**3 - 1/5*u**5 + 0 + 1/15*u**6. Suppose s(y) = 0. What is y?
-1, 1
Let f = -527 - -523. Let p(s) = -5*s**3 + 11*s**2 + 4*s - 4. Let c(b) = -20*b**3 + 45*b**2 + 15*b - 15. Let a(t) = f*c(t) + 15*p(t). Solve a(x) = 0.
0, 3
Let a(v) be the first derivative of -3*v**5/5 + 225*v**4/4 + 153*v**3 + 231*v**2/2 + 2660. Factor a(b).
-3*b*(b - 77)*(b + 1)**2
Suppose 22*u = 51 + 37. Suppose -187*x - 6*x**4 + 171*x + 10*x**3 - 4*x**2 + u*x**4 = 0. Calculate x.
-1, 0, 2, 4
Let v(h) be the first derivative of 2*h**3/33 - 34*h**2/11 + 675. Determine k, given that v(k) = 0.
0, 34
Let c(b) be the third derivative of b**6/100 + 11*b**5/75 - 47*b**4/60 - 6*b**3/5 + 2*b**2 + 1358*b. Factor c(z).
2*(z - 2)*(z + 9)*(3*z + 1)/5
Let m(c) be the second derivative of -1/12*c**4 - 1/45*c**5 - 1/540*c**6 + 0 - 35*c + 0*c**2 + 1/3*c**3. Let h(q) be the second derivative of m(q). Factor h(n).
-2*(n + 1)*(n + 3)/3
Let i(o) = 26*o + 104. Let p be i(-4). Suppose p = -5*a + 3 - 3. Solve 9/2*k**2 + 3/8*k**3 + 27/2*k + a = 0 for k.
-6, 0
Let x(n) be the third derivative of -n**5/60 + 29*n**4/12 + 124*n**3/3 - 2*n**2 - 565*n. Find f such that x(f) = 0.
-4, 62
Let g(q) = -9*q**4 + 11*q**3 + 39*q**2 - 39*q + 18. Let j(m) = -94 + m**2 + 48 + 48 + m. Let f(o) = g(o) - 5*j(o). Let f(b) = 0. Calculate b.
-2, 2/9, 1, 2
Factor 5/4*t**3 - 9/2*t**2 - 18*t + 1/4*t**4 + 0.
t*(t - 4)*(t + 3)*(t + 6)/4
Let m = 125 - 121. Determine a, given that -35*a**3 + 11*a**m + 82*a**2 - 32*a**2 - 6*a**4 = 0.
0, 2, 5
Let l be ((72/(-15))/(-6))/((-4)/40). Let j(c) = -3*c - 22. Let f be j(l). Factor w - 43*w**2 + 41*w**f + 3*w.
-2*w*(w - 2)
Let x(h) be the third derivative of -h**5/180 + 37*h**4/24 + 37*h**2 + 2*h. Factor x(f).
-f*(f - 111)/3
Let k be (49/9 + -5)*(-29 + 38). Factor -36*f**2 - 96*f - 72 + 3/2*f**k + 0*f**3.
3*(f - 6)*(f + 2)**3/2
Suppose -31*t + 36*t = 90. Factor t*j - 2*j**2 - 8*j + 5*j**3 - 10*j.
j**2*(5*j - 2)
Let c(q) be the first derivative of -2*q**2 + 0*q**4 + 13 - 4/3*q**3 + 0*q + 1/30*q**5. Let m(p) be the second derivative of c(p). Find o such that m(o) = 0.
-2, 2
Factor 9*l**4 + 19*l**2 - 5*l**2 - 30*l**3 + 18*l**2 - l**5 + 14*l**2 - 9*l - 24*l + 9.
-(l - 3)**2*(l - 1)**3
Let q(i) = -3*i**3 - i + 24*i**2 - 1 - i**3 + 2*i. Let x = 174 - 173. Let g(n) = n**3 - n + 1. Let t(z) = x*q(z) + g(z). Determine m, given that t(m) = 0.
0, 8
Let m = -1/2835 + -130976/2835. Let r = m + 234/5. What is u in 1/5 + 3/5*u**2 + 1/5*u**3 + r*u = 0?
-1
Suppose -2*c - 4*z + 1660 = -z, 3*c + 3*z - 2493 = 0. Let k = -833 + c. Factor -27/2 + 3/2*o**2 + k*o.
3*(o - 3)*(o + 3)/2
Let a(m) be the second derivative of m**6/10 - 3*m**5/4 - 141*m**4/4 + 837*m**3/2 + 1458*m**2 - m - 927. Find p, given that a(p) = 0.
-12, -1, 9
Suppose -179 = 32*t - 883. Suppose 0 = 25*i + t*i - 235. Determine d so that 3/2*d**i + 29/6*d**4 - d - 29/6*d**2 - 1/2*d**3 + 0 = 0.
-3, -1, -2/9, 0, 1
Suppose 0 = -5*y, -3*m + 6 = 3*y - 6. Suppose u + 5*d + 8 = 0, -u - 6 = m*d - 1. Find k such that -2*k**3 + 2*k**2 - u*k**2 + 3*k**2 = 0.
-1, 0
Let x = -496235/3 - -165413. Factor -2/3*d**5 + 4/3*d**3 - 2/3*d**4 - 2/3*d + x*d**2 - 2/3.
-2*(d - 1)**2*(d + 1)**3/3
Let n(q) be the first derivative of -q**6/3 - 8*q**5/5 - 5*q**4/2 - 4*q**3/3 - 1500. Find f, given that n(f) = 0.
-2, -1, 0
Factor 0 - 1/8*j**3 - 199/8*j - 25*j**2.
-j*(j + 1)*(j + 199)/8
Factor 555*g - 225/2 - 2029/2*g**2 + 814*g**3 - 242*g**4.
-(g - 1)**2*(22*g - 15)**2/2
Suppose -17 = -l + 4*i, -15*i + 51 = 3*l - 18*i. Let y(a) be the first derivative of -5/2*a - l - 35/8*a**2 - 5/4*a**3. Let y(k) = 0. Calculate k.
-2, -1/3
Let f(j) be the first derivative of -1/54*j**4 + 1/90*j**5 + 18 - 1/27*j**3 + 1/9*j**2 + 10*j. Let z(m) be the first derivative of f(m). Factor z(u).
2*(u - 1)**2*(u + 1)/9
Let t(f) be the third derivative of -11*f**6/90 - f**5/4 - f**4/6 - 83*f**3/6 + 20*f**2 - 2. Let a(v) be the first derivative of t(v). Factor a(y).
-2*(2*y + 1)*(11*y + 2)
Suppose -25 = -5*r - 3*p, 2*p - 7*p = -3*r + 15. Factor -132*x**3 + 75*x**2 + 45*x - 64*x**3 + r + 71*x**3.
-5*(x - 1)*(5*x + 1)**2
Let i be 3/3 - (-5757)/(-3846). Let s = 2/641 - i. Let 0 - x**2 - s*x = 0. Calculate x.
-1/2, 0
Let q(y) be the second derivative of y**7/189 - 11*y**6/45 + 73*y**5/30 + 865*y**4/54 + 104*y**3/3 + 36*y**2 + 31*y - 25. Solve q(z) = 0 for z.
-1, 18
Let h(d) be the third derivative of -5/6*d**6 + 1/42*d**7 - 13 + 9/2*d**5 + 85/6*d**3 + 0*d - 65/6*d**4 + 2*d**2. Find f such that h(f) = 0.
1, 17
Let k(h) be the third derivative of -h**5/30 - 7*h**4/6 - 49*h**3/3 - 8*h**2 - h - 10. Factor k(n).
-2*(n + 7)**2
Let f(r) be the first derivative of -2*r**3/9 - 13*r**2 + 164*r/3 - 174. Factor f(n).
-2*(n - 2)*(n + 41)/3
Let q(r) = r**2 - 40*r + 284. Let n be q(9). Suppose 0 = -3*m - n*t + 26, -2*m - 18*t + 24 = -13*t. Solve 0 - 2/5*b**m + 6/5*b = 0.
0, 3
Let w(r) be the second derivative of 0*r**2 - 1/96*r**4 - 3 + 1/336*r**7 + 1/240*r**6 + 1/24*r**3 - 5*r - 3/160*r**5. Determine u, given that w(u) = 0.
-2, -1, 0, 1
Let g(v) = 2*v**2 - 14*v - 1. Let t be g(21). Suppose 181 = 4*j - t. Factor 74*w + 36*w**2 + j + 100*w + 3*w**3 - 30*w.
3*(w + 4)**3
Let d(w) = 8*w + 89. Let v be d(-10). Suppose -6*k = b - 25, -5*k - b + 12 = -v. Solve 0*l - 1/5*l**5 + 0 - 4/5*l**2 - 8/5*l**3 - l**k = 0 for l.
-2, -1, 0
Let i(n) be the third derivative of -n**5/12 + 5*n**4/3 + 2*n**2 - 636*n. Factor i(d).
-5*d*(d - 8)
Suppose -4*w + 18 = u, -u + 0*w + 14 = 3*w. Factor -13*g + 33478*g**u - 40 - 32*g - 33483*g**2.
-5*(g + 1)*(g + 8)
Let t(u) be the first derivative of -151 + 1/6*u**6 + 0*u + 2/3*u**3 - 1/2*u**2 + 0*u**4 - 2/5*u**5. Solve t(a) = 0.
-1, 0, 1
Let u(p) = 3*p**3 + 33*p**2 - p + 14. Let x be u(-11). Factor -13 - 14 - 10 - 41*f - 3 - x*f**2 - 69*f.
-5*(f + 4)*(5*f + 2)
Suppose -15*j + 8*j - 7 = -21. Factor j*v**2 - 46/3*v + 28/3.
2*(v - 7)*(3*v - 2)/3
Let p(s) be the third derivative of s**8/112 - 107*s**7/35 - 219*s**6/5 - 1324*s**5/5 - 886*s**4 - 1776*s**3 + 15*s**2 + 37. Suppose p(w) = 0. Calculate w.
-2, 222
Determine s, given that -14696*s + 404*s**2 - s**3 - 120*s**2 + 0*s**3 - 5468*s = 0.
0, 142
Let i(v) = -v**2 + 5*v + 32. Let j be i(7). Find f such that -2*f**2 + j + 3*f + 7*f**2 - 27 + f**3 = 0.
-3, 1
Suppose -5*q + 5*k = 1510, -q - 3*k - 214 = 84. Let d be (-2)/10 + q/(-105). Solve -d*x**3 - 4 - 56/3*x + 4*x**4 - 64/3*x**2 = 0.
-1, -1/3, 3
Factor 2/7*j**3 + 1524/7 - 38*j - 36*j**2.
2*(j - 127)*(j - 2)*(j + 3)/7
Let f(c) = -6*c**3 + 342*c**2 - 4*c - 292. Let j(q) = 21*q**3 - 1197*q**2 + 15*q + 1017. Let d(s) = 18*f(s) + 5*j(s). Determine x, given that d(x) = 0.
-1,