6, 23
Let f be (-12)/(-18) - ((-2211)/(-828) + -2). Let s = 415/276 + f. What is t in 0 + 3*t**2 + s*t = 0?
-1/2, 0
Let x(o) be the second derivative of 4/15*o**4 + 0 - 4/15*o**3 - 5*o + 1/75*o**6 + 0*o**2 - 1/10*o**5. Factor x(f).
2*f*(f - 2)**2*(f - 1)/5
Let u(x) = -4*x**3 - 14*x**2 + 82*x + 74. Let w(d) = -d**2 + d - 1. Let n(m) = u(m) - 6*w(m). Suppose n(j) = 0. What is j?
-5, -1, 4
Suppose 0 = -56*l + 41*l + 735. Solve -l + 29 + 2*w**2 + 9*w - 5*w**2 - w**2 + 15*w = 0 for w.
1, 5
Let s = 272 + -270. Suppose 0 = -0*d - s*d + 12. Factor 11/2*x**3 - x**2 - d*x - 3*x**4 + 4 + 1/2*x**5.
(x - 2)**3*(x - 1)*(x + 1)/2
Suppose -18*c + 9 + 63 = 0. Suppose -3*p = -2*r - 8 - c, -3*r = 0. Factor 111 + p*b - 62 - b**2 - 52.
-(b - 3)*(b - 1)
Let n(v) be the third derivative of -v**5/20 + 103*v**4/2 + 2085*v**3/2 + 2*v**2 - 964. Let n(j) = 0. What is j?
-5, 417
Let i(w) = 8*w**2 + 12*w + 1. Let j(c) be the third derivative of -c**5/60 - c**4/12 - c**3/6 - 54*c**2. Let x(r) = -2*i(r) - 18*j(r). Factor x(g).
2*(g + 2)*(g + 4)
Let s(k) = -16*k**4 + 49*k**3 + 20*k**2 - 45*k - 4. Let m(t) = -15*t**4 + 48*t**3 + 18*t**2 - 45*t - 3. Let u(f) = -4*m(f) + 3*s(f). Factor u(o).
3*o*(o - 1)*(o + 1)*(4*o - 15)
Suppose i - 199 = -195. Suppose -4*o + 17*n = 21*n + i, 2*o = 5*n + 26. Factor 0 - 2/15*t**2 - 2/5*t**o + 0*t.
-2*t**2*(3*t + 1)/15
Suppose 5*n + 6 = 51. Suppose n = 13*h - 17. Suppose 0 + 2/7*x**h + 0*x + 2/7*x**3 = 0. What is x?
-1, 0
Let b(c) = 5*c**3 + 30*c**2 + 10*c. Suppose 0 = -2*m + 302 - 292. Let x(q) = 3*q**3 + 30*q**2 + 8*q. Let p(g) = m*x(g) - 4*b(g). Factor p(f).
-5*f**2*(f - 6)
Let a = -13987 + 14000. Let h(m) be the second derivative of 0 - 8/15*m**6 + 4/3*m**3 + 7/3*m**4 - m**5 + 0*m**2 + a*m. Factor h(n).
-4*n*(n - 1)*(n + 2)*(4*n + 1)
Determine x so that -66*x**3 - 31*x**3 + 25*x**3 - 296*x**4 - 3528*x + 3628 + 298*x**4 + 854*x**2 - 884 = 0.
1, 7, 14
Suppose -4*v + 47*v = 3*v + 200. Let s(o) be the second derivative of 1/3*o**3 + 0*o**4 + 0*o**2 - 1/40*o**v + 0 + 6*o. Factor s(r).
-r*(r - 2)*(r + 2)/2
Let o(n) be the first derivative of n**5/180 + n**4/12 + 4*n**3/9 + 111*n**2/2 - 59. Let z(p) be the second derivative of o(p). What is g in z(g) = 0?
-4, -2
Let h(k) be the third derivative of k**5/120 - k**4/6 - 3*k**3/4 + 2*k**2 - 375*k. Determine n so that h(n) = 0.
-1, 9
Let l(o) be the second derivative of o**5/5 + 16*o**4 + 94*o**3/3 - o - 273. Factor l(a).
4*a*(a + 1)*(a + 47)
Suppose 22*n**2 - 11*n - 1/4*n**4 - 36 - 13/4*n**3 = 0. What is n?
-18, -1, 2, 4
Let m(g) be the first derivative of -3*g**5/25 - 39*g**4/20 - 41*g**3/5 + 39*g**2/10 + 126*g/5 + 6887. Find i such that m(i) = 0.
-7, -6, -1, 1
Let b(c) be the second derivative of -1/3*c**3 + 3/2*c**2 + 170*c - 1/12*c**4 + 0. Find o, given that b(o) = 0.
-3, 1
Let g(k) be the third derivative of 1/360*k**6 + 0 - 3*k + 0*k**3 + 1/315*k**7 + k**2 + 0*k**4 - 1/1008*k**8 - 1/90*k**5. What is w in g(w) = 0?
-1, 0, 1, 2
Suppose -39/4*d**4 + 30*d - 213/4*d**2 - 3/4*d**5 - 165/4*d**3 + 75 = 0. Calculate d.
-5, -2, 1
Let w = 198 + -162. Let f be 24/w - (-1 + 9/7). Factor -8/21 + f*l - 2/21*l**2.
-2*(l - 2)**2/21
Solve 44 - 113 - 243 - 50 - 255*k - 110*k - 3*k**2 = 0 for k.
-362/3, -1
Let x = -864 - -867. Let w be 13/x - (78/(-9) + 9). Solve 23/8*v**3 - 13/8*v**2 + 0 - 9/8*v**5 + 1/4*v - 3/8*v**w = 0.
-2, 0, 1/3, 1
Let b(o) be the third derivative of o**5/12 + 725*o**4/4 + 315375*o**3/2 + 363*o**2. Solve b(m) = 0.
-435
Suppose 0 = -4*w + m + 13, -3*w - 3*m + 89 = 83. Solve 420*l**2 + 11997*l - 12122*l + 10 - 59*l**w - 121*l**3 = 0.
1/6, 2
Let o be (-2 - -1*10) + -29 + 25. Let 92*g**3 + 2524*g + 4*g**o + 24*g - 18766*g**2 + 2744 + 19522*g**2 = 0. What is g?
-7, -2
Let o(j) = -5*j**2 - 32*j - 24. Let r(q) be the third derivative of q**5/12 + 11*q**4/8 + 13*q**3/3 + 15*q**2. Let p(a) = -2*o(a) - 3*r(a). Factor p(y).
-5*(y + 1)*(y + 6)
Find q such that -4/7*q**2 + 0 + 200/7*q = 0.
0, 50
Suppose -k = 9 - 13. Factor 0*w**3 - k*w**2 - 89 - w**3 + 17*w - w**2 + 110.
-(w - 3)*(w + 1)*(w + 7)
Let v(f) be the third derivative of 0*f + 0*f**3 + 0 + 11/30*f**5 + 29*f**2 - f**4 + 1/60*f**6. Let v(k) = 0. What is k?
-12, 0, 1
Let y(h) be the first derivative of 13*h**3/3 + 7*h**2/2 + 42*h - 71. Let i(r) = 37*r**2 + 22*r + 124. Let x(w) = 6*i(w) - 17*y(w). Find a, given that x(a) = 0.
-10, -3
Suppose 1043*i - 1279 = 13*i + 781. Factor -52/9*y + 0 - 2/9*y**i.
-2*y*(y + 26)/9
Factor -218/9 - 217/9*z + 1/9*z**2.
(z - 218)*(z + 1)/9
Let o be 63216/(-112) - 45/(-5). Let h = o + 560. Factor h + 1/7*w**3 - 6/7*w**2 + 0*w.
(w - 4)**2*(w + 2)/7
Suppose 3*b = -0 + 6. Let k be -1*(4 + -4 - 0). Factor 8*f + f**4 - 6*f + 2*f + 1 + 6*f**b + k + 4*f**3.
(f + 1)**4
Let y(a) be the second derivative of -a**5/160 - 147*a**4/32 - 73*a**3/8 + 55*a**2 - 2*a + 18. Factor y(z).
-(z - 1)*(z + 2)*(z + 440)/8
Suppose 4*c = 4*s + 4, -4*c + 3*s = 5 - 8. Let u be (-1 - c)/(6/(-24)*2). Determine r so that -1/3*r**u - 1/3*r + 0 = 0.
-1, 0
Let d(s) be the second derivative of 3*s**5/40 + 19*s**4/4 + 35*s**3 + 102*s**2 - 831*s. Find q, given that d(q) = 0.
-34, -2
Let r = 5180/11 + -10305/22. What is i in r*i**2 + 65*i + 845/2 = 0?
-13
Solve -35/4*s**2 + 5/4*s**4 - 5/2*s + 5/2*s**5 - 15/2*s**3 + 0 = 0.
-1, -1/2, 0, 2
Let o(v) = -3 - 2 - 2 + 3 + 1. Let f(a) = 2*a**2 + 38*a + 9. Let z(l) = f(l) + 3*o(l). Solve z(n) = 0.
-19, 0
Let h(w) be the third derivative of -2*w**7/315 - 202*w**6/45 - 13466*w**5/15 + 41006*w**4/9 - 82418*w**3/9 + 1912*w**2. Determine y so that h(y) = 0.
-203, 1
Let d be (-146*1)/(22785/(-3255)). Factor d*u**3 + 1/7*u**5 + 5 + 141/7*u + 39/7*u**4 + 214/7*u**2.
(u + 1)**4*(u + 35)/7
Let o(p) = 16*p**4 - 188*p**3 + 1344*p**2 - 84. Let r(v) = 15*v**4 - 189*v**3 + 1344*v**2 - 77. Let d(w) = 11*o(w) - 12*r(w). Factor d(l).
-4*l**2*(l - 42)*(l - 8)
Let j(c) be the third derivative of c**7/1155 - 3*c**6/220 + 3*c**5/55 - 2039*c**2. Factor j(i).
2*i**2*(i - 6)*(i - 3)/11
Let l = -409 + 854. Let n = l - 445. Factor 2/19*s**4 + 2/19*s**3 + 0*s**2 + n + 0*s - 4/19*s**5.
-2*s**3*(s - 1)*(2*s + 1)/19
Suppose 6*t + 19 = 7*t. Suppose -7*v + 28 = -0*v. Solve 14*z - 11*z - t*z + 2*z**4 + v*z**3 - 8*z**2 = 0 for z.
-2, 0, 2
Let h(o) be the third derivative of 5*o**8/336 - 4*o**7/21 + o**6 - 8*o**5/3 + 10*o**4/3 + 945*o**2. Factor h(z).
5*z*(z - 2)**4
Let h(n) be the first derivative of -4*n**5/5 + 7*n**4 - 40*n**3/3 - 1871. Factor h(g).
-4*g**2*(g - 5)*(g - 2)
Let b(n) = 22*n**3 - 52*n**2 - 124*n + 180. Let p(w) = -54*w**3 + 102*w**2 + 247*w - 360. Let c(y) = 5*b(y) + 2*p(y). What is o in c(o) = 0?
-3, 1, 30
Let h(o) = -595*o**3 - o**2 + 4*o - 5. Let r be h(1). Let m = r + 599. Solve -8/3*g**2 + m*g**3 - 8/3*g + 2/3*g**5 + 8/3*g**4 + 0 = 0 for g.
-2, -1, 0, 1
Let j = 118121 + -118117. Let v be (-1)/(-4) - (-7)/4. Factor -1/5*y**5 + 0*y**j + 0*y**v + 1/5*y**3 + 0*y + 0.
-y**3*(y - 1)*(y + 1)/5
Let o(s) be the first derivative of 3*s**4/4 - 21*s**3 + 189*s**2/2 + 255*s - 2702. Factor o(m).
3*(m - 17)*(m - 5)*(m + 1)
Let r(l) = 44*l**3 - 414*l**2 + 1265*l - 652. Let j(s) = 64*s**3 - 622*s**2 + 1899*s - 980. Let g(d) = -5*j(d) + 7*r(d). Solve g(p) = 0.
2/3, 3, 14
Let i(l) = 26*l**2 - 7*l + 11. Let s(z) = 61*z**2 - 13*z + 22. Let g(d) = d**3 - 15*d**2 + 15*d - 17. Let v be g(14). Let c(u) = v*s(u) + 7*i(u). Factor c(y).
-(y - 1)*(y + 11)
Suppose -2*i - 2*b + 4 = 0, 5 = -3*i + 2*b + 21. Factor 10*n**3 + 251*n + 13*n**2 - 113*n - 126*n - 4*n**3 + 4 + n**i.
(n + 1)**2*(n + 2)**2
Let g(o) = 2*o**2 - 114*o - 360. Let m be g(60). Let r(v) be the second derivative of -21*v + 0*v**2 + 1/9*v**3 + m - 1/54*v**4. Factor r(a).
-2*a*(a - 3)/9
Let p = 546866 - 546864. Let -2*u**p - 4/7 - 18/7*u = 0. What is u?
-1, -2/7
Let v be -1 + 1 - (-414 - 6)/5. Suppose -17*y - 33 + v = 0. Factor -4 + 1/2*s**y + s**2 - 2*s.
(s - 2)*(s + 2)**2/2
Suppose -4*r = -8, r - 16 = f - 3*f. Let i(x) be the third derivative of 0*x**3 - 1/210*x**6 - x**2 + 0*x**5 + 0 + 0*x + 0*x**4 + 1/735*x**f. Factor i(p).
2*p**3*(p - 2)/7
Factor 5*c**3 + 1099*c + 45*c**2 - 5739*c - 595*c**2 - 9440.
5*(c - 118)*(c + 4)**2
Let y(s) be the third derivative of -2/105*s**7 + 0*s + 0*s**4 - 1 - 44*s**2 - 1/15*s**5 - 1/15*s**6 + 0*s**3. Suppose y(j) = 0. What is j?
-1, 0
Let f(t) = 1282*t**3 + 422*t*