/5
Let f = -86 + 142. Determine h so that 2*h + 0*h - f*h**2 + h - 42*h**3 + 17*h**2 = 0.
-1, 0, 1/14
Let r(f) = f**3 + 3*f**2 + 36*f + 10. Let l(z) = z**2 - 2*z - 861 + 1726 - 864. Let n(m) = -6*l(m) - r(m). Suppose n(p) = 0. What is p?
-4, -1
Let l(s) = 2*s**2 + 41*s - 19. Let z = 550 - 571. Let j be l(z). Let 4/3*i**4 - 8/3*i**j + 4/3 - 4/3*i**3 + 2/3*i**5 + 2/3*i = 0. What is i?
-2, -1, 1
Suppose -2*z - 3*z + 25 = 4*o, 0 = 3*o + z - 16. Suppose -2*m + 10 = o*u - m, -8 = -4*u - m. Let -7/3*a**u + 23/3*a - 2 = 0. Calculate a.
2/7, 3
Determine c, given that 4/11*c**2 - 4/11 + 2/11*c - 2/11*c**3 = 0.
-1, 1, 2
Factor -546*b + 3*b**5 - 51*b**4 + 276*b**3 + 564*b - 588*b**2 + 414*b.
3*b*(b - 9)*(b - 4)*(b - 2)**2
Let s = -17/180 - -79/360. Let d(f) be the first derivative of 3/4*f**5 + 7/4*f**3 - 27/16*f**4 - s*f**6 - 3/4*f**2 + 5 + 0*f. Determine z, given that d(z) = 0.
0, 1, 2
Let z = 33 + -20. Let u = z + -8. Factor 8*l**4 + 50*l**3 + 32 + l**u + 52*l**2 + 80*l + 28*l**2 + 2*l**4 - 10*l**3.
(l + 2)**5
Let a(o) be the first derivative of -2*o**3/3 + 645*o**2 + 1292*o - 568. Let a(c) = 0. What is c?
-1, 646
Let n(r) = 4*r**3 - 37*r**2 - 92*r - 42. Let b(f) = -7*f**3 + 76*f**2 + 183*f + 85. Let q(d) = -3*b(d) - 5*n(d). Factor q(z).
(z - 45)*(z + 1)**2
Find o, given that 12270346708 - 12667254*o - 1/2*o**3 + 4359*o**2 = 0.
2906
Let w(m) be the first derivative of -4*m**3/21 - 814*m**2/7 - 174. Factor w(d).
-4*d*(d + 407)/7
Let i(m) be the first derivative of -121*m**4/15 + 22*m**3/5 - 9*m**2/10 - 31*m - 45. Let a(l) be the first derivative of i(l). Factor a(h).
-(22*h - 3)**2/5
Let u = 31 + -31. Let i be ((-56)/32)/(462/(-48)). Factor u + 0*l**2 - 2/11*l + i*l**3.
2*l*(l - 1)*(l + 1)/11
Let i be 2/((-27)/9 + (-14)/(-4)). Factor -18*h**4 - 129*h + 129*h + 15*h**i - 3*h**3.
-3*h**3*(h + 1)
Let r be -2 + 7/(28/228). Solve u**5 - u**4 - 1 - 7*u**3 + 1 + 13*u**2 - 61*u + r*u = 0.
-3, 0, 1, 2
Factor 188*v**2 + 206*v**2 + 3*v**3 + 90*v - 436*v**2 + 57*v.
3*v*(v - 7)**2
Let r(c) be the third derivative of -c**8/1512 + 32*c**7/315 - 47*c**6/270 - 16*c**5/45 + 95*c**4/108 - 48*c**2 + 33*c + 1. Let r(q) = 0. Calculate q.
-1, 0, 1, 95
Let s(a) be the third derivative of a**6/120 + 18*a**5/5 - 439*a**4/24 - 109*a**3 - 2408*a**2. Factor s(z).
(z - 3)*(z + 1)*(z + 218)
Let r(x) be the second derivative of -x**5/40 - 215*x**4/6 - 46225*x**3/3 - 116*x + 2. Factor r(k).
-k*(k + 430)**2/2
Let w(s) = -3*s**2 - 10*s - 7. Let f = 2 - 3. Let c(d) = 11*d - 9. Let p(b) = -9*b + 7. Let i(t) = 4*c(t) + 5*p(t). Let a(u) = f*w(u) - 2*i(u). Factor a(h).
3*(h + 1)*(h + 3)
Let z be (1902/(-317) - (-57)/10)/((-12)/16). Factor -z*m**4 + 0 + 2/5*m**5 + 2*m**2 - 4/5*m - 6/5*m**3.
2*m*(m - 1)**3*(m + 2)/5
Find s, given that -70/3*s + 2/9*s**3 + 50 + 14/9*s**2 = 0.
-15, 3, 5
What is y in 0 + 422/3*y**2 - 44521/3*y - 1/3*y**3 = 0?
0, 211
Let u(t) be the first derivative of 1568*t**6/15 + 12544*t**5/25 + 529*t**4 + 742*t**3/3 + 297*t**2/5 + 36*t/5 + 2028. Find z such that u(z) = 0.
-3, -2/7, -1/4, -3/14
Let x be 507/338 + (-13)/(-18). Factor 94/9*p - x - 58/9*p**2 + 8/9*p**3.
2*(p - 5)*(p - 2)*(4*p - 1)/9
Let c be 0 + (-2)/26 + (-172383)/(-666237). Factor -32/11 + 32/11*z + 0*z**2 - 8/11*z**3 + c*z**4.
2*(z - 2)**3*(z + 2)/11
Let s = -8/85 - -22/17. Factor 1/5*c**2 + s*c + 0.
c*(c + 6)/5
Suppose 196*n - 18*n = 72*n + 848. Solve -128/9*y - 4/9*y**3 - n*y**2 + 0 = 0 for y.
-16, -2, 0
Let o(k) = -13*k**4 + 2*k**3 - 21*k**2 + 13*k + 34. Let x(n) = -n**4 - n**2 + n + 2. Let y(t) = -o(t) + 15*x(t). Let y(q) = 0. Calculate q.
-2, -1, 1
Let p(b) be the first derivative of -b**3/15 - 1033*b**2/5 - 1067089*b/5 - 629. Factor p(j).
-(j + 1033)**2/5
Let n(p) be the third derivative of 3*p**5/10 + 17*p**4/6 + 7*p**3 + 4*p**2 - 2*p + 58. Factor n(m).
2*(m + 3)*(9*m + 7)
Let x = 178977 - 178977. Suppose 4/7*k - 1/7*k**3 + x + 0*k**2 = 0. Calculate k.
-2, 0, 2
Let o be ((-250)/(-45) - 4)*(93 - 87). Solve -38/3*a + o + 4*a**2 = 0 for a.
7/6, 2
Factor 111*x - 12/7*x**2 + 195/7.
-3*(x - 65)*(4*x + 1)/7
Factor 0 + 0*r - 1/2*r**4 + 51*r**3 + 0*r**2.
-r**3*(r - 102)/2
Suppose 9*r + 34*r - 86 = 0. Factor 184*l - 144 + 2*l + 126*l - 193*l**r - l**4 + 26*l**3.
-(l - 12)**2*(l - 1)**2
Let s = 28 + -26. Factor 47*m - 76*m + 46*m - 16 - m**s.
-(m - 16)*(m - 1)
Let w(c) be the second derivative of 0*c**2 + 0 + 0*c**3 + 1/10*c**6 + 0*c**5 - 1/126*c**7 - 271*c + 0*c**4. Let w(d) = 0. What is d?
0, 9
Let y(u) be the second derivative of -u**5/60 - 3*u**4 - 162*u**2 - 308*u. Let d(t) be the first derivative of y(t). Factor d(s).
-s*(s + 72)
Let h be (-239)/(-5) + 0 - (-5 - (13 + 19)/(-4)). Solve 2/5*k**2 + 6272/5 + h*k = 0 for k.
-56
Let 2/5*w**2 + 432/5*w + 23328/5 = 0. What is w?
-108
Let w(o) be the first derivative of o**4/20 + o**3/5 - 14*o**2/5 + 281. Factor w(b).
b*(b - 4)*(b + 7)/5
Let n(y) = -3*y - 61. Let m be n(-21). Factor 30*a**2 - 19610 + m*a**4 - 14*a + 19610 - 18*a**3.
2*a*(a - 7)*(a - 1)**2
Let a(n) = 2*n**4 - 4*n**3 - 2*n**2 + 7*n + 3. Let u(m) = -10*m**4 + 20*m**3 + 8*m**2 - 36*m - 14. Let r(q) = 16*a(q) + 3*u(q). Factor r(w).
2*(w - 3)*(w - 1)*(w + 1)**2
Let c(h) be the first derivative of h**3/15 + 41*h**2/5 + 81*h/5 + 3191. Factor c(w).
(w + 1)*(w + 81)/5
Factor d + 8*d**4 - 12170*d**3 + 0*d - 576*d**2 - d - 2*d**5 + 12290*d**3.
-2*d**2*(d - 6)**2*(d + 8)
Let n = -993002 + 993006. Factor -1/3*v**n - 7/3*v**3 - 3*v + 0 - 5*v**2.
-v*(v + 1)*(v + 3)**2/3
Let v = -76741 - -76743. Factor 5/4*s**v + 75/4*s + 0.
5*s*(s + 15)/4
Determine y, given that -1279/3 - 1280/3*y - 1/3*y**2 = 0.
-1279, -1
Let d(k) be the second derivative of 0 - 1/42*k**4 - 1/7*k**3 + 0*k**2 - 57*k. Factor d(f).
-2*f*(f + 3)/7
Let g(k) = -23*k - 6. Let w be g(-1). Let n be (1 - w)/((0 + 14)*-1). Solve n*x - 8/7 + 6/7*x**2 = 0.
-2, 2/3
Let g(z) be the first derivative of -15/7*z**2 + 52/7*z + 2/21*z**3 - 89. Suppose g(q) = 0. What is q?
2, 13
Let k(g) be the first derivative of -3*g**4/20 - 2847*g**3/5 - 8105409*g**2/10 - 2564011047*g/5 - 5926. Determine a, given that k(a) = 0.
-949
Let y(r) be the first derivative of 2*r**3/9 + 25*r**2/3 + 96*r - 917. Factor y(k).
2*(k + 9)*(k + 16)/3
Let g be 3/9*(-30)/(-4). Let w be -1 - 3/4 - (-24632)/3079. Suppose g*t - 1/4*t**2 - w = 0. Calculate t.
5
Suppose 0 = -2*u - 6*z + 44, 43*z - 48*z = -2*u - 22. What is s in -8/3*s**2 + 1 - 2/3*s**3 + 5/3*s**u + 2/3*s = 0?
-1, -3/5, 1
Let c(l) = 2*l**2 + 574*l + 426. Let p(n) = -3*n**2 - 1148*n - 842. Let r(u) = -7*c(u) - 3*p(u). Determine y, given that r(y) = 0.
-114, -4/5
Let s = -8045 + 32347/4. Let o = s - 3833/92. Factor -o*g**4 + 0 + 2/23*g**3 + 0*g + 4/23*g**2.
-2*g**2*(g - 2)*(g + 1)/23
Factor -12943/4*k + 79507 - 27/4*k**4 - 11997/4*k**2 - 1053/4*k**3.
-(k - 4)*(3*k + 43)**3/4
Let g(w) be the second derivative of 1/135*w**6 + 0*w**2 - 21*w + 1/18*w**5 - 5/27*w**3 + 0 - 1/54*w**4. Determine h, given that g(h) = 0.
-5, -1, 0, 1
Let a be (4 - (-6)/3)*(-2)/(-4). Suppose 3 = a*k, -5*j - 3*k + 15 = 2*k. Factor 0 - 3/7*g + 3/7*g**j.
3*g*(g - 1)/7
Let w(l) be the first derivative of -55 - 32/11*l - 16/11*l**2 + 2/11*l**4 + 32/33*l**3 - 6/55*l**5. Suppose w(t) = 0. Calculate t.
-2, -2/3, 2
Determine t, given that 180*t**2 + 14 - 123*t - 428*t**3 + 215*t**3 - 64 + 206*t**3 = 0.
-2/7, 1, 25
Suppose -9*g - 72 = -15*g. Factor 21 + 99*a + 93*a**2 - 81*a**2 - g*a.
3*(a + 7)*(4*a + 1)
Find v, given that -16/9*v**4 + 10/9*v**3 - 224/3*v + 64 + 2/9*v**5 + 220/9*v**2 = 0.
-4, 2, 3, 4
Let b = -9725/8 + 1216. Let n(r) be the second derivative of -3/2*r**2 + 0 + 8*r - 1/20*r**6 - b*r**5 - 7/4*r**3 - 9/8*r**4. Find p such that n(p) = 0.
-2, -1
Let m = 413 + -403. Let f be (-12)/(-8)*(-1)/m*-24. Solve 12/5*v**2 + f*v + 2/5*v**3 + 0 = 0.
-3, 0
Solve -34*z + 14*z + 979*z + 5*z**2 + 85*z - 136242 - 7*z**2 = 0 for z.
261
Factor -20/3 + 1/2*f**2 - 29/3*f.
(f - 20)*(3*f + 2)/6
Factor 111211*m**5 - 26*m - 190*m - 104*m - 111210*m**5 + 9*m**4 + 4*m**3 - 144*m**2.
m*(m - 4)*(m + 4)**2*(m + 5)
Let f(v) be the third derivative of 0*v**3 + 2*v**2 + 11*v - 2/21*v**7 + 0 - 1/24*v**6 + 25/336*v**8 + 0*v**5 + 0*v**4. Let f(g) = 0. Calculate g.
-1/5, 0, 1
Let o be ((-5)/(-20))/((-1)/(-8)). Let f be 10 - (3 - o) - -1. Determine h, given that -h**5 + 11*h**3 + h**2 - f*h**3 - h**4