4 - 40/9*o + 2/3*o**5 - 8/9 = 0. What is o?
-2, -1, -1/3, 2
Suppose 4*m + 10 = -5*q + 40, -q + 6 = -8*m. Let j(b) be the first derivative of 28 + m*b - 1/4*b**3 + 3/8*b**2. Factor j(u).
-3*u*(u - 1)/4
Let s(w) = -92*w - 4322. Let t be s(-47). Let h(d) be the second derivative of 14/9*d**3 - 26*d - 4/3*d**t - d**4 + 1/3*d**5 - 2/45*d**6 + 0. Factor h(v).
-4*(v - 2)*(v - 1)**3/3
Let v = 6864 - 6864. Let c(z) be the third derivative of -5/36*z**4 + 0*z + 1/6*z**3 - 13*z**2 + v + 1/60*z**5. Determine u, given that c(u) = 0.
1/3, 3
Let r(m) = m**5 - m**4 - 15*m**3 - m**2 - m - 1. Let y(v) = -13*v**5 - 26*v**4 - 33*v**3 + 4*v**2 - 2*v - 2. Let b(o) = -2*r(o) + y(o). Factor b(x).
-3*x**2*(x + 1)**2*(5*x - 2)
Determine t so that 3837*t**5 + 89 - 75 - 846*t - 20458*t**4 + 51*t**5 - 4287*t**2 - 41 + 38136*t**3 - 3410*t**4 = 0.
-1/18, 1/4, 3
Let w = 13717 + -13714. Let g(k) be the second derivative of 14/3*k**w + 0 + 39*k + 13/15*k**4 - 98/5*k**2 + 1/25*k**5. Suppose g(z) = 0. What is z?
-7, 1
Suppose -88*f - 6 = -90*f. Let u(o) be the second derivative of 5/12*o**4 + 7*o + 0 - 5/6*o**f - 5*o**2. Find i such that u(i) = 0.
-1, 2
Let h(v) be the second derivative of -121*v**4/78 + 2948*v**3/39 - 17956*v**2/13 + 7380*v. Factor h(r).
-2*(11*r - 134)**2/13
Let y(u) be the third derivative of u**6/40 + 37*u**5/20 - 77*u**4/8 + 39*u**3/2 + 977*u**2. Let y(o) = 0. Calculate o.
-39, 1
Suppose 276*b**3 + 28*b**2 - 1656 + 2*b**4 - 745785*b - 6*b**4 + 743877*b = 0. Calculate b.
-2, -1, 3, 69
Suppose 14*h - 14*h = -22*h. Factor h*s + 6*s - s**2 + 14*s + 0*s.
-s*(s - 20)
Let l(n) be the first derivative of n**3 + 21*n**2/2 + 36*n + 1567. Let l(c) = 0. Calculate c.
-4, -3
Let y = 53 + 750. Let r = y + -801. Solve 0*a + 1/2*a**r + 0 + 9/8*a**3 = 0 for a.
-4/9, 0
Let w(v) = -14*v**2 - 81*v - 36. Let c(u) = -29*u**2 - 161*u - 71. Suppose 8 = -21*g + 23*g. Let m(t) = g*c(t) - 9*w(t). Let m(x) = 0. What is x?
-8, -1/2
Find l, given that 21227*l**3 + 3*l**5 - 26*l**2 - 76*l**4 - 21087*l**3 - 42*l**2 + l**5 = 0.
0, 1, 17
Let d = -433422 - -433466. Factor d + 128/3*c - 4/3*c**2.
-4*(c - 33)*(c + 1)/3
Let h(v) = -2*v**2 - 38*v - 28. Let n be h(-18). Let m = 4 - -4. Factor -m*x + n*x**2 + 4*x - 6*x**3 + 2*x**3.
-4*x*(x - 1)**2
Suppose -561*s = -558*s + 18, 0 = 3*a + 3*s + 12. Let m(g) be the third derivative of 0 + 1/6*g**4 - 22*g**a + 1/3*g**3 + 1/30*g**5 + 0*g. Factor m(b).
2*(b + 1)**2
Let s(p) = -p + 5*p - 7*p + 43 - 50. Let v be s(-19). Suppose 34 + v + 4*u**2 + 52*u + 85 = 0. Calculate u.
-13/2
Let r(j) be the first derivative of j**4/30 - 6*j**3 + 405*j**2 - 229*j - 249. Let l(z) be the first derivative of r(z). Factor l(v).
2*(v - 45)**2/5
Let j = -70803/86 + 35466/43. Let -n**3 - j*n**2 - 2/3*n - 1/6*n**4 + 0 = 0. What is n?
-4, -1, 0
Factor -8/11*w**4 + 0*w - 1262/11*w**3 + 316/11*w**2 + 0.
-2*w**2*(w + 158)*(4*w - 1)/11
Let z(n) be the second derivative of -n**5/110 + 2*n**4/11 - 3*n**3/11 - 2*n**2 - 1854*n. Factor z(q).
-2*(q - 11)*(q - 2)*(q + 1)/11
Suppose -109*d - 23 - 22 = -124*d. Let v be ((-6)/(-8))/((-3)/(-2)). Let 0*m**4 + 5/2*m**d + 0*m**2 - 2*m + 0 - v*m**5 = 0. Calculate m.
-2, -1, 0, 1, 2
Suppose 176*t + 178 - 236 = 822. Factor 2/7*s**t - 10/7*s**4 + 0*s + 16/7*s**3 - 8/7*s**2 + 0.
2*s**2*(s - 2)**2*(s - 1)/7
Suppose 5*s = -2 + 17. Factor s*c**2 - 11*c - 6*c - c**2 + 11*c.
2*c*(c - 3)
Let 3/2*k**3 + 0 + 0*k + 3/4*k**2 + 3/4*k**4 = 0. Calculate k.
-1, 0
Let m be -16*(2/1 - (-11 - -17)). Factor -m - 96*g**2 - 4*g**4 - 163*g + 35*g + 0*g**4 - 32*g**3.
-4*(g + 2)**4
Let o(s) be the second derivative of s**7/420 + s**6/36 - s**5/60 - 5*s**4/12 - 55*s**3/3 - 4*s - 6. Let b(f) be the second derivative of o(f). Factor b(v).
2*(v - 1)*(v + 1)*(v + 5)
Determine g so that -899/2*g**2 + 0 - 1/2*g**4 - 59/2*g**3 - 841/2*g = 0.
-29, -1, 0
Determine y so that -8/15*y + 258/5*y**2 + 2/15*y**4 + 88/5*y**3 - 344/5 = 0.
-129, -2, 1
Suppose 2*r - 39 - 171 = 0. Determine m so that 34*m**2 + r*m - 32*m**2 - 105*m = 0.
0
Suppose t = -35 + 32. Let y be (-21)/(-14)*(2 + 2/t). Factor y*v**2 - v**2 + 20 + v - v**3 - 21.
-(v - 1)**2*(v + 1)
Let u(y) be the third derivative of -y**8/336 + 3*y**7/70 - 7*y**6/40 - y**5/60 + 5*y**4/4 + 318*y**2. What is c in u(c) = 0?
-1, 0, 2, 3, 5
Factor -20*s**2 - 1296*s - 18*s**2 - 271 - 1022 + 51*s**2 - 16*s**2.
-3*(s + 1)*(s + 431)
Let m(l) = -75*l + 4. Let a be m(-5). Let w = a - 268. Factor 2*p**2 - w*p + 111*p - 2.
2*(p - 1)*(p + 1)
Let r be 3 - 16 - -11 - (1 - 9). Let v(p) be the second derivative of -1/30*p**r + 0*p**2 + 0*p**4 + 0 + 0*p**3 + 1/20*p**5 + 17*p. Let v(s) = 0. What is s?
0, 1
Let d(p) = 10*p + 154. Let r be d(-15). Factor -1556*i**4 + 15*i - i**5 - 1554*i**4 + 16 - 8*i**2 - 16*i**3 + 3103*i**r + i.
-(i - 1)*(i + 2)**4
Let i = 93 + -49. Suppose 39*t + 20 = i*t. What is z in -3*z - 333*z**3 + 341*z**3 + t*z**4 + 3*z = 0?
-2, 0
Let j(x) be the first derivative of 3*x**5/5 + 1221*x**4/4 + 40791*x**3 - 383145*x**2/2 - 504300*x + 5401. Let j(u) = 0. What is u?
-205, -1, 4
Let y(b) be the second derivative of b**6/30 + 11*b**5/10 - 47*b**4/12 + 4*b**3 + 1041*b. Suppose y(f) = 0. What is f?
-24, 0, 1
Suppose -7*f - 3311*h + 62 = -3315*h, 3*f - 4*h = 54. Factor 22/7 + 1/7*o**f + 13/7*o.
(o + 2)*(o + 11)/7
Suppose -540*r**3 - 2*r - 8536*r**4 + 542*r**2 + 2*r + 8534*r**4 = 0. What is r?
-271, 0, 1
Find h such that -3*h**3 - 135/4*h**2 - 369/4*h - 21 = 0.
-7, -4, -1/4
Solve 56*h - 103/2*h**2 - 17/2*h**4 + h**5 + 0 - 117*h**3 = 0 for h.
-7, -1, 0, 1/2, 16
Determine s so that -374/13 + 6/13*s**2 + 1120/13*s = 0.
-187, 1/3
Let t = 1182924 + -8280414/7. Find n such that 2/7*n**3 - 52/7*n**2 - t*n + 0 = 0.
-1, 0, 27
Let o = -127/3284 + 126443/42692. Factor 16/13*u**2 + 20/13 - o*u + 2/13*u**3.
2*(u - 1)**2*(u + 10)/13
Let u = 21540/11 + -107678/55. Let m be 0 - (1 - (-1 + 2)). Determine s so that m + u*s**3 - 4/5*s**2 + 2/5*s = 0.
0, 1
Let t(s) be the first derivative of 1/15*s**5 - s - 42 + 2/9*s**3 + 1/3*s**4 - 2/3*s**2. Let t(b) = 0. What is b?
-3, -1, 1
Let r be 4 - (15 - 979/88). Let p(o) be the first derivative of -21/8*o**2 - 147/8*o - 3 - r*o**3. Suppose p(x) = 0. What is x?
-7
Let x be 4/(-66)*(13 - (-1080)/(-45)). Find k such that 0 + 4/3*k**4 - x*k**5 + 0*k**2 + 0*k + 0*k**3 = 0.
0, 2
Let 40*t + 4/5*t**2 - 204/5 = 0. What is t?
-51, 1
Let r = -15 - -8. Let l(g) = -55*g - 16. Let b be l(r). Factor -t**3 - 369 + 0*t**3 + b - t + 2*t**2.
-t*(t - 1)**2
Factor 162/7*j - 4/7*j**3 - 213/7*j**2 + 0.
-j*(j + 54)*(4*j - 3)/7
Let a be 126/(-70) - ((-3696)/55)/14. Determine d so that -190/7*d**2 + 64/7 - 12/7*d**a + 36/7*d = 0.
-16, -1/2, 2/3
Let z(p) be the third derivative of -p**8/168 + 5*p**7/21 + 67*p**6/20 - 473*p**5/30 + 62*p**4/3 - 17*p**2 + 43*p. Solve z(q) = 0.
-8, 0, 1, 31
Let i(r) be the third derivative of r**5/135 + 11*r**4/27 + 38*r**3/9 + 2*r**2 + 584*r. Find y, given that i(y) = 0.
-19, -3
Determine t, given that t**5 + 19/3*t**4 + 0 - 10/3*t - 9*t**2 + 5*t**3 = 0.
-5, -2, -1/3, 0, 1
Let l(w) = -8*w**4 - 17*w**2 + 22*w**2 - 4*w**3 + 27*w**2 - 26*w + 6*w**4. Let v(d) = -d**3 + d. Let z(a) = -l(a) - 2*v(a). Let z(k) = 0. What is k?
-6, 0, 1, 2
Let o(a) be the first derivative of 2*a**3/15 - 2*a**2/5 - 1056*a/5 + 461. Let o(d) = 0. What is d?
-22, 24
Let t = 13/214 - 1453/25680. Let w(z) be the third derivative of 1/48*z**4 + 0 + t*z**5 - 1/160*z**6 + 0*z + 0*z**3 - 9*z**2. Suppose w(k) = 0. Calculate k.
-2/3, 0, 1
Let d(f) = 113*f - 3. Let w be d(-2). Let r = w - -4355/19. Factor 2/19*j - 6/19*j**3 + 0 + 0*j**2 + r*j**4.
2*j*(j - 1)**2*(2*j + 1)/19
Suppose -4*s + 0*s + 72 = -3*w, -4*s + 12 = 0. Let m be (36/((-5)/(w/6)))/2. Factor -5 + 5 + 2*u**2 - m*u + 1 + 9.
2*(u - 5)*(u - 1)
Let t(s) be the third derivative of -s**6/24 + s**5/12 + 75*s**4/4 - 1803*s**2. Factor t(z).
-5*z*(z - 10)*(z + 9)
Let v be (8 + 3)*38*7/4389. Factor -2*s - v*s**2 + 20/3.
-2*(s - 2)*(s + 5)/3
Let n(b) be the third derivative of -27*b**2 + 0*b**3 - 1/36*b**4 + 0 + 0*b + 1/90*b**5. Determine m, given that n(m) = 0.
0, 1
Let o(a) = 7*a**2 - 3*a. Let b(q) = 66*q**2 - 5232*q - 374978. Let m(t) = b(t) - 12*o(t). Factor m(h).
-2*(3*h + 433)**2
Let m(u) = u**3 - 24*u**2 + 22*u + 15. Let h be m(23). Let n be 2*(60/h)/(-5). Factor 6*r + 3 + 2*r**3 - 6*r**2 - n