b + 17. Find g, given that z(g) = 0.
-13, 0, 17
Let t be (2 + -8)*-1*(-12)/(-1 + -539). Factor 2/3*o + t*o**2 + 0.
2*o*(o + 5)/15
Let b = 13263 - 6684551/504. Let h(x) be the third derivative of 1/36*x**4 + x**2 + 2/45*x**5 + 0 + 0*x**3 + b*x**8 + 1/30*x**6 + 4/315*x**7 - x. Factor h(m).
2*m*(m + 1)**4/3
Suppose -2*l + 3*p + 1572 = 0, -4*p + 4861 - 954 = 5*l. Determine w so that -45*w + 7*w**4 - 86*w + 131*w**3 + 38 - l*w**2 + 738*w**2 = 0.
-19, -1, 2/7, 1
Let x(a) = -17*a**2 - 6*a + 1. Let n be x(4). Let y = -291 - n. Determine t so that 2/3*t**4 + 8*t**2 + 2 + 20/3*t + y*t**3 = 0.
-3, -1
Let l(x) be the second derivative of x**7/126 + 7*x**6/90 + x**5/12 - 7*x**4/36 - x**3/3 - 1616*x. Factor l(p).
p*(p - 1)*(p + 1)**2*(p + 6)/3
Suppose 0*t - 12*t = -1344. Factor z**3 - 217*z**2 + t*z**2 + 123*z**2 + 128 + 96*z.
(z + 2)*(z + 8)**2
Let 3*i**5 - 28987999*i - 29443329*i - 27*i**4 + 362988*i**3 - 13791682*i**2 - 1784*i**4 - 10075022*i**2 + 32065400 + 17389048 = 0. What is i?
-3, 2/3, 202
Factor 0 + 8*a**2 + 7/2*a**3 + 0*a - 1/4*a**4.
-a**2*(a - 16)*(a + 2)/4
Let r(f) be the third derivative of -13*f**5/45 + 560*f**4/9 - 344*f**3/9 - 11*f**2 - 101*f. Determine d so that r(d) = 0.
2/13, 86
Let o(g) be the second derivative of 0 - 1/60*g**6 - 5/2*g**2 + 1/10*g**5 + 0*g**3 - 25*g - 1/6*g**4. Let t(y) be the first derivative of o(y). Factor t(h).
-2*h*(h - 2)*(h - 1)
Let m be (-328)/(-2296)*0/(-5). Let 0*i + 2/11*i**4 + 14/11*i**3 + 12/11*i**2 + m = 0. What is i?
-6, -1, 0
Factor -25106*k - 90320*k - 32909 - 20*k**3 - 44871*k - 4520*k**2 + 290554 - 92808*k.
-5*(k - 1)*(2*k + 227)**2
Suppose 9*u - 48 = -3*u. Factor -221*k**2 + 221*k**2 + 0*k**4 - k**u + 9*k**3.
-k**3*(k - 9)
Let p(c) = -245*c**2 + 1314 + 73*c - 65*c**3 - 794 - 243*c. Let r(z) = -5*z**3 - 19*z**2 - 13*z + 40. Let v(f) = 3*p(f) - 40*r(f). Find h, given that v(h) = 0.
-4, -2, 1
Let v(f) be the second derivative of -f**4/48 - 3*f**3/8 + 9*f**2/2 - 380*f - 5. Factor v(w).
-(w - 3)*(w + 12)/4
Let d = -34 - -45. Factor -d*x**2 + 27*x**2 - 4*x**3 - 1423*x + 1451*x - 40.
-4*(x - 5)*(x - 1)*(x + 2)
Let c(x) be the second derivative of x**4/6 + 53*x**3/3 - 354*x**2 + 2*x + 307. Factor c(j).
2*(j - 6)*(j + 59)
Suppose -15*u - 5 = -10*u. Let j(c) = 6*c**2 + 4*c + 2. Let b be j(u). Factor -72*d**2 - 12 + 80*d + 9*d**3 - 20 + 19*d**3 - b*d**4.
-4*(d - 2)**3*(d - 1)
Factor -2060602/7 + 61206/7*p + 2/7*p**3 - 606/7*p**2.
2*(p - 101)**3/7
Let p(s) = 13*s**3 + 26*s**2 + 7*s + 6. Let h(n) = -n**3 - n**2 + 2*n. Let t be 228/39*-1 + (-6)/39. Let q(l) = t*h(l) - p(l). Factor q(x).
-(x + 1)**2*(7*x + 6)
Let k be (-119)/((-4403)/592)*2/56. Let u = 6/17 + 94/119. Suppose -2/7*a**5 - k*a**4 - 2/7*a + u*a**2 + 4/7*a**3 - 4/7 = 0. What is a?
-2, -1, 1
Let p(d) be the first derivative of -d**5/12 + 5*d**4/8 + d**2 + 4*d + 61. Let r(q) be the second derivative of p(q). Factor r(h).
-5*h*(h - 3)
Suppose -63 = c + 5*s, 5*c - 3*s = 3904 - 3855. Let -6/13*m**3 + 2/13*m**c - 2/13*m**4 + 0 + 2/13*m**5 + 4/13*m = 0. Calculate m.
-1, 0, 1, 2
Let c be (-5)/(-25) - (162/(-150))/((-6)/(-10)). Let c*s + 0 - 11/2*s**2 + 5/4*s**3 = 0. What is s?
0, 2/5, 4
Let a(o) = -11*o - 52. Suppose -3*c = s + 15, -2*s + 0*s - 15 = 3*c. Let r be a(c). Factor d**2 - 832*d + 832*d - d**r.
-d**2*(d - 1)
Let a = -47 - -68. Factor a*y**3 - 39*y**3 + 16*y**3 + y**5 + y.
y*(y - 1)**2*(y + 1)**2
Let g(u) be the third derivative of -u**6/260 + 49*u**5/195 - 16*u**4/39 - 1258*u**2. Find w such that g(w) = 0.
0, 2/3, 32
Let g(k) be the second derivative of k**4/42 + 134*k**3/21 + 264*k**2/7 - 6762*k. Factor g(c).
2*(c + 2)*(c + 132)/7
Factor 70*a + 145*a**2 + 178*a**2 - 368*a**2 + 5*a**3.
5*a*(a - 7)*(a - 2)
Let u(i) be the third derivative of 0*i - 1/300*i**5 + 2/15*i**3 - 87*i**2 + 0 + 1/40*i**4. Factor u(m).
-(m - 4)*(m + 1)/5
Let b(i) be the second derivative of -i**8/2240 - i**7/168 + i**6/40 - i**4/4 + 81*i. Let p(l) be the third derivative of b(l). Factor p(u).
-3*u*(u - 1)*(u + 6)
Let j(b) = -165*b**2 - 49*b + 53. Let h(p) = -23*p**2 + p - 1. Let a(u) = -7*h(u) + j(u). Let a(f) = 0. Calculate f.
-15, 1
Suppose 576 = -4*x + 604. Suppose x*w**3 + 36*w + 24*w**4 + 57*w**2 + 17*w**3 - 21*w**4 = 0. What is w?
-4, -3, -1, 0
Let o(b) be the second derivative of b**4/18 + 14*b**3/3 + 416*b**2/3 + 4204*b + 2. Find y such that o(y) = 0.
-26, -16
Let r(s) be the third derivative of -s**6/1080 - 7*s**5/360 + s**4/9 + 14*s**3/3 - s**2 - 16*s. Let d(i) be the first derivative of r(i). Factor d(x).
-(x - 1)*(x + 8)/3
Let f(k) be the third derivative of 7*k**5/120 - 145*k**4/24 - 14*k**3 + 4*k**2 + 60*k + 9. What is h in f(h) = 0?
-4/7, 42
Let 13*k + 65*k + 58*k + 600 + k**2 - 86*k = 0. Calculate k.
-30, -20
Let s(b) = -b**2 - 25*b**5 - 26*b**5 + 1 + 52*b**5 - 1. Let t(h) = 20*h**5 + 10*h**4 + 10*h**3 - 72*h**2 - 80*h - 32. Let k(j) = -44*s(j) + 2*t(j). Factor k(v).
-4*(v - 4)**2*(v + 1)**3
Suppose -5*l = j - 14, -12*l - 12 = -15*l + 3*j. Let q(d) be the second derivative of -3/80*d**5 + 3/16*d**4 + 0 + 5*d + 0*d**l - 3/2*d**2. Factor q(p).
-3*(p - 2)**2*(p + 1)/4
Let l(x) = 8*x**4 + 4*x**3 - 8*x**2. Let k(d) = -d**5 - d**4 + d**2. Let n(g) = 4*k(g) + l(g). Determine w, given that n(w) = 0.
-1, 0, 1
Let q(x) be the first derivative of x**6/180 + x**5/45 - x**4/12 - x**2 + 60*x + 142. Let j(v) be the second derivative of q(v). Factor j(f).
2*f*(f - 1)*(f + 3)/3
Let h = -14 + 16. Suppose -3*t - 5*n - 3 = 12, -2*t + h*n = -6. Factor t + 4/9*w + 4/9*w**2.
4*w*(w + 1)/9
Let v be ((-371)/42 + 7 - -6) + 0. Let y(z) be the first derivative of v*z**2 + 10/3*z + 15/4*z**4 - 80/9*z**3 + 1. Factor y(n).
5*(n - 1)**2*(9*n + 2)/3
Let t(c) be the second derivative of -c**6/630 - c**5/42 - c**4/7 + 59*c**3/3 + c - 30. Let x(y) be the second derivative of t(y). Let x(d) = 0. Calculate d.
-3, -2
Let r = 1293538/9 - 143724. Find p such that 0 + 2/9*p**3 + 0*p - r*p**2 = 0.
0, 11
Factor -14*s**4 - s**2 + 17*s**4 - 71*s**2 + 4*s - 4*s - 6*s**3.
3*s**2*(s - 6)*(s + 4)
Let x(w) be the second derivative of 4*w**6/15 - 51*w**5/2 - 568*w**4/3 - 452*w**3 - 272*w**2 + 6*w + 70. Determine c so that x(c) = 0.
-2, -1/4, 68
Suppose 0 + 16 = 4*r. Suppose -29*m + 42*m = 0. What is n in 8*n**2 + 0*n**3 - 6 + m*n**3 + r*n**2 + 3*n - 9*n**3 = 0?
-2/3, 1
Let t(q) be the second derivative of 8/5*q**3 - 18/5*q**2 - 7/20*q**4 + q + 3/100*q**5 - 28. Find m, given that t(m) = 0.
2, 3
Let d = 3 - 1. Let c = 136025/4 + -34006. Factor -k**d + 0 - c*k**3 - k.
-k*(k + 2)**2/4
Let z = 1867767/7 - 266801. Let z*l**3 + 64/7*l**4 - 348/7*l**2 + 0 + 144/7*l = 0. What is l?
-4, 0, 3/4
Let m be 524/(-27772) - (-642)/318. Factor -13/2*q + m*q**2 + 11/4.
(2*q - 1)*(4*q - 11)/4
Factor -2/11*w**2 - 48/11 - 50/11*w.
-2*(w + 1)*(w + 24)/11
Factor -366*z**3 - 97*z**2 + 369*z**3 + 218*z**2 - 938 + 68 - 711*z + 41*z**2.
3*(z - 5)*(z + 1)*(z + 58)
Let z(b) = -119*b + 1. Let s be z(-1). Suppose -119*f = -s*f + 4. Factor -15*n**3 - n**5 - 9*n**2 - 6*n**3 + 3*n**5 - 5*n**5 - 15*n**f.
-3*n**2*(n + 1)**2*(n + 3)
Let p = 1029 - 1027. Suppose 57*a**3 - 153*a**4 + 888 + 218*a**p + 1420*a + 150*a**4 - 112*a + 412*a**2 + 36*a**3 = 0. Calculate a.
-2, 37
Let t be 65 + -52 + (-191)/15 + 4/12. Factor 0*o + 3/5*o**5 - 6/5*o**3 + 0 + 0*o**2 + t*o**4.
3*o**3*(o - 1)*(o + 2)/5
Let m(t) = t**3 - 10*t**2 + 3*t + 67. Let g be m(0). Suppose 3*d - 3 = -g*y + 70*y, 0 = -d - y + 5. Factor 1/8*p + 1/8*p**d + 0 - 1/4*p**2.
p*(p - 1)**2/8
Determine s, given that -1457*s**3 + 192 - 4*s**4 - 104*s + 129*s**2 - 317*s**2 + 0*s**4 + 1561*s**3 = 0.
-1, 1, 2, 24
Let b(v) be the first derivative of v**7/560 + v**6/480 + 2*v**3/3 + 11*v**2/2 - 16. Let o(f) be the third derivative of b(f). What is y in o(y) = 0?
-1/2, 0
Suppose -g + 81*k = 79*k - 135, 456 = 3*g - 3*k. What is z in 13*z + 1/4*z**2 + g = 0?
-26
Let i(a) be the third derivative of 5*a**7/126 + 35*a**6/36 + 331*a**5/180 + 13*a**4/12 + 2*a**2 + 157. Determine o, given that i(o) = 0.
-13, -3/5, -2/5, 0
Let -2499848*q - 2236*q**2 - 2/3*q**3 - 2794830064/3 = 0. What is q?
-1118
Find r such that 4780/3*r - 114242/3 - 50/3*r**2 = 0.
239/5
Suppose -435*c + 66632 - 65102 + 2*c**2 - 27*c**2 = 0. Calculate c.
-102/5, 3
Let l(h) be the first derivative of h**3/6 + 396*h**2 + 313632*h + 2211. Solve l(m) = 