- 120680. Solve a + 3*f + 3/7*f**2 = 0.
-4, -3
Let o(p) be the second derivative of -p**5/20 + 31*p**4/6 - 56*p**3 + 90*p + 1. Factor o(i).
-i*(i - 56)*(i - 6)
Solve -1288254*g - 1265166*g - 17179728 - 167*g**3 + g**4 + 57936*g**2 - 253*g**3 + 53084*g = 0 for g.
-6, 142
Let a(q) = 7*q - 33. Let y(b) = 8*b - 34. Let v(m) = -6*a(m) + 5*y(m). Let w be v(13). Factor 3*j + 8*j**2 + j - 5 - 8*j**w + j**2.
(j - 1)*(j + 5)
Let i(n) = -27*n + 270. Let v be i(10). Let w(j) be the second derivative of 3/20*j**5 + 7/4*j**4 - 4*j**3 + 41*j + 0 + v*j**2. Factor w(a).
3*a*(a - 1)*(a + 8)
Let p(j) be the second derivative of 2/9*j**3 - 1/20*j**5 + 0*j**2 + 1/9*j**4 - 37*j + 0 + 1/126*j**7 - 1/45*j**6. Solve p(a) = 0.
-1, 0, 2
Let 288 - 1299/5*l - 138/5*l**2 - 3/5*l**3 = 0. Calculate l.
-32, -15, 1
Suppose -478/5 + 478/5*n**2 - 2/5*n**3 + 2/5*n = 0. Calculate n.
-1, 1, 239
Determine m so that -37*m**3 + 110/3*m + 0 + 109/3*m**4 + 1/3*m**5 - 109/3*m**2 = 0.
-110, -1, 0, 1
Let 1/4*x**3 + 0 + 3/2*x - 5/4*x**2 = 0. What is x?
0, 2, 3
Let m(u) be the second derivative of 2*u**5/35 + 11*u**4/21 - 40*u**3/7 + 54*u**2/7 - 1753*u. Determine x, given that m(x) = 0.
-9, 1/2, 3
Let m(l) be the first derivative of -l**3/15 - 62*l**2/5 - 123*l/5 + 1780. Solve m(n) = 0.
-123, -1
Let k be (-13)/((-52)/24) - 6. Let u(p) be the third derivative of k*p - 8*p**2 - 4/39*p**3 - 7/390*p**5 + 0 - 4/39*p**4. Factor u(a).
-2*(a + 2)*(7*a + 2)/13
Let m(x) be the second derivative of x**4/36 - 49*x**3/18 + 47*x**2/3 - 951*x. Find n, given that m(n) = 0.
2, 47
Let p(b) = 7*b**2 - 2241*b - 629442. Let x(j) = -10*j**2 + 2240*j + 629442. Let u(m) = -4*p(m) - 3*x(m). Suppose u(d) = 0. What is d?
-561
Suppose -c = 2*q - 33 - 20, -3*q + 3*c = -57. Suppose -3 = -3*u + q. Let u*n**2 - 34*n + 10*n**2 - 5*n**2 + 4 + 16*n**2 = 0. Calculate n.
2/15, 1
Let x(r) be the first derivative of 0*r + 1/8*r**4 - 1/3*r**2 - 1/6*r**5 + 5/18*r**3 - 95 + 1/36*r**6. Factor x(l).
l*(l - 4)*(l - 1)**2*(l + 1)/6
Let u be 0 - -6 - 9/(4 - 1). Suppose -154*o**3 + 73*o**3 + 83*o**u + 96*o - 26*o**2 - 72 = 0. What is o?
1, 6
Let x = -188 - -479. Let -2*r**2 + x*r**4 + 13*r**3 - 281*r**4 - 16*r - 8 + 2*r**5 + r**3 = 0. Calculate r.
-2, -1, 1
Let v(x) = -6*x**2 + 2*x - 5. Let g(j) = -134*j**2 - 244*j - 10478. Let u(s) = -2*g(s) + 44*v(s). Factor u(h).
4*(h + 72)**2
Let k(a) be the second derivative of -a**4/108 + a**2/2 + 7*a + 19. Solve k(v) = 0 for v.
-3, 3
Let -9/2*n**2 + 540 + 3237/2*n = 0. What is n?
-1/3, 360
Factor 5*r**3 - 217*r**2 - 4321 - 125*r - 357*r**2 - 3370*r + 91 - 106*r**2.
5*(r - 141)*(r + 2)*(r + 3)
Let v be (10/(-8))/(1390/200 + -7). Solve 79*r**2 - 36*r**3 - 57*r**5 - v*r**2 + 10*r**4 + 56*r**5 - 7*r - 20*r = 0 for r.
0, 1, 3
Let m be 118/8 + -9 - (-5)/20. Let c(i) be the third derivative of 0*i + 1/105*i**m + 1/105*i**5 + 2/735*i**7 + 0*i**3 + 0 - 9*i**2 + 0*i**4. Factor c(w).
4*w**2*(w + 1)**2/7
Suppose 12*f = 3*f + 2*f + 14. Let d(v) be the third derivative of 0 + 0*v**4 + 1/24*v**6 + 0*v**3 + 1/12*v**5 + 7*v**f + 0*v. Find y such that d(y) = 0.
-1, 0
Let z(c) = -c**3 + c. Let p(t) = 3*t**4 + 12*t**3 - 81*t**2 + 6*t. Let m(k) = p(k) - 6*z(k). Suppose m(n) = 0. Calculate n.
-9, 0, 3
Suppose 7/3*y**5 + 32/3*y**4 + 9*y + 2*y**3 + 0 - 24*y**2 = 0. Calculate y.
-3, 0, 3/7, 1
Let z = -4455 + 4457. Factor 1/6*o**3 + 5/6*o + o**z + 0.
o*(o + 1)*(o + 5)/6
Let u(z) be the first derivative of z**4/14 - 332*z**3/21 - 167*z**2/7 - 178. Let u(r) = 0. What is r?
-1, 0, 167
Let v be (-32 + 29)/(-1 + 580/(-80)). Determine w, given that 5/11*w**2 + v - 8/11*w - 1/11*w**3 = 0.
1, 2
Factor -1443/2 - 1371/2*x + 3/2*x**3 + 75/2*x**2.
3*(x - 13)*(x + 1)*(x + 37)/2
Let o(g) be the second derivative of 0 - 17*g - 7/16*g**4 + 3/80*g**5 - 9/4*g**3 + 0*g**2. Find w, given that o(w) = 0.
-2, 0, 9
Factor -3887*b**3 - 288*b**2 + 2095*b**3 + 192*b - 36*b**4 + 3*b**5 + 1948*b**3.
3*b*(b - 4)**2*(b - 2)**2
Let y be (-4)/(-2) - 72/27 - 6/(-5). Determine d, given that -26/15*d - 34/15*d**3 + y*d**4 + 4/5 - 16/3*d**2 = 0.
-1, 1/4, 6
Suppose 6*a - 6030 = -12*a. Let k = 1389/4 - a. What is r in 0*r + 0 + k*r**4 + r**2 - 7*r**3 = 0?
0, 2/7
Let b(q) be the third derivative of -q**6/120 + 7*q**5/60 - q**4/12 - 20*q**3/3 + q**2 - 9*q. Factor b(z).
-(z - 5)*(z - 4)*(z + 2)
Let n(l) = -l**2 - 15*l - 11. Let r = 37 + -51. Let j be n(r). What is w in -j*w**2 + 4*w**2 - 3*w - w = 0?
0, 4
Let y(p) be the third derivative of -3*p**2 + 0*p**3 - 1/12*p**4 - 1/105*p**7 + 1/30*p**5 - 2*p + 0 + 1/60*p**6. Solve y(g) = 0 for g.
-1, 0, 1
Let l(s) = s**2 + 16*s - 894. Let m be l(23). Let b(p) be the second derivative of 0 + 1/2*p**2 + 1/3*p**3 - 1/4*p**4 + m*p + 2/15*p**6 - 1/5*p**5. Factor b(c).
(c - 1)**2*(2*c + 1)**2
Suppose 0 = 2*k - 6, 0 = 5*l + 5*k - 2 - 43. Let r be (l/(-2) - -11)*(-6)/(-60). Factor -1/5*x**4 + r*x**2 + 0 - 1/5*x**3 + 4/5*x.
-x*(x - 2)*(x + 1)*(x + 2)/5
Let s = 12 - 51. Let y = s - -49. Factor -11*i**2 + 0*i - y*i + 13*i**2 + 3*i**2.
5*i*(i - 2)
Solve -242/3*d - 2/3*d**3 + 44/3*d**2 + 0 = 0.
0, 11
Let c(q) be the third derivative of -q**7/1365 + 6*q**6/65 - 477*q**5/130 + 1207*q**4/39 - 1156*q**3/13 + 4*q**2 + q - 455. Let c(l) = 0. What is l?
1, 3, 34
Let y = 703819/6 - 117303. Factor 7/6*l**3 + 0*l + y*l**4 + 5/3*l**2 + 0.
l**2*(l + 2)*(l + 5)/6
Let v(a) be the third derivative of -a**7/105 - a**6/30 + 4*a**5/15 - 789*a**2. Factor v(h).
-2*h**2*(h - 2)*(h + 4)
Let f(r) be the second derivative of r**7/112 - 3*r**6/80 - 93*r**5/160 - 65*r**4/32 - 27*r**3/8 - 3*r**2 - 9609*r. Suppose f(l) = 0. Calculate l.
-2, -1, 8
Let z(g) = 17*g**2 - 2048*g - 2847. Let b(v) = 95*v**2 - 12290*v - 17080. Let m(r) = -6*b(r) + 35*z(r). Determine c so that m(c) = 0.
-81, -7/5
Let y be -2 - (-19 + (-616)/(-40)). Find i, given that 32/5*i**3 + 26/5*i**2 + y*i**4 + 6/5*i + 0 = 0.
-3, -1/2, 0
Suppose -23 - 1 = -35*b + 29*b. Let s(q) be the first derivative of -40 - 4/5*q**5 + 8*q + 1/3*q**6 - b*q**4 - 4/3*q**3 + 7*q**2. Let s(v) = 0. Calculate v.
-1, 1, 4
Let y(c) = 2*c**3 + c**2 + 1. Let o(d) = 17*d**3 + 40*d**2 + 72*d - 101. Let k(n) = -o(n) + 7*y(n). Factor k(i).
-3*(i - 1)*(i + 6)**2
Solve -633/2*s**2 + 1/8*s**3 + 267126*s - 75151448 = 0 for s.
844
Suppose -9*t + y - 18 = -13*t, 10 = 5*t - 5*y. Suppose 8 = h - t*f, -6*h + f + 2 = -7*h. Factor 2/13*r**4 + 0*r - 2/13*r**3 + h + 0*r**2.
2*r**3*(r - 1)/13
Let u(n) = 4*n**4 + n**2 - 1. Let z(x) = 87*x**4 - 54*x**3 - 1908*x**2 - 12852*x - 18489. Let m(a) = 21*u(a) - z(a). Factor m(k).
-3*(k - 38)*(k + 2)*(k + 9)**2
What is v in -1/7*v**4 + 12/7*v**3 + 58/7*v - 45/7*v**2 - 24/7 = 0?
1, 4, 6
Factor -1048/13*l - 8/13 - 34322/13*l**2.
-2*(131*l + 2)**2/13
Let j = 150 + -106. Let l(u) = -u**2 - 18*u + 90. Let v be l(4). Solve -39*y**2 + 10*y + j*y**v - 5*y**3 + y**3 - y**3 = 0.
-1, 0, 2
Let b(i) be the second derivative of i**4/132 - 47*i**3/66 + 86*i**2/11 - 3*i - 103. Factor b(j).
(j - 43)*(j - 4)/11
Let x(w) be the first derivative of 3*w**5/10 + 111*w**4/8 + 80*w**3 + 2583. Find a, given that x(a) = 0.
-32, -5, 0
Let o(t) = -22*t**3 + 2*t**2 - 2*t - 6. Let v be o(-2). Factor -186*u + 3*u**2 - u**2 - 6 + v*u.
2*(u - 3)*(u + 1)
Let a(v) = -6*v**4 + 350*v**3 + 3996*v**2 + 15384*v + 11728. Let r(g) = g**4 - 70*g**3 - 799*g**2 - 3077*g - 2346. Let n(q) = 3*a(q) + 16*r(q). Factor n(s).
-2*(s + 1)*(s + 6)*(s + 14)**2
Suppose 0 = 4*q + 2*j - 6, 27*j = 9*q + 31*j - 12. Let b = 71/28 + -16/7. Find d such that d**5 - b*d**3 + 0*d + 0 - 3/4*d**4 + q*d**2 = 0.
-1/4, 0, 1
Let d(a) be the second derivative of a**6/60 + 2*a**5/5 + 23*a**4/8 + 47*a**3/6 + 10*a**2 + 7303*a. Factor d(c).
(c + 1)**2*(c + 4)*(c + 10)/2
Let f be (-9*(-18)/(-756))/((-18)/(-8) + -3). Factor f*y**3 + 36/7 + 16/7*y**2 + 6*y.
2*(y + 2)*(y + 3)**2/7
Suppose -2*i - 4 = 0, -q = i - 2*i - 25. Let v be 2*q/60 - (-156)/(-936). Factor -63/5*z - 27/5 - v*z**5 - 6*z**2 + 18/5*z**3 + 9/5*z**4.
-3*(z - 3)**2*(z + 1)**3/5
Find l such that -3/5*l**4 + 0 + 138/5*l**3 + 87*l**2 + 294/5*l = 0.
-2, -1, 0, 49
Let a(r) be the third derivative of r**8/840 - 3*r**7/175 + 7*r**6/100 - 19*r**5/150 + r**4/10 - r**2 - 826. Find o such that a(o) = 0.
0, 1, 6
Let f(a) = -11*a**2 + 5*a + 5. Let h(z) = -6 + 9 - z**2 - 7 + 10*z**2 - 5*z. Let u(w) = -4*f(w) - 5*h(w). Solve u(o)