 Let g(b) = 0. What is b?
-10, -4, 0
Let r be (-195)/(-25) + (6/10)/3. Let a = -9 + r. Let f(u) = 3*u**2 + 9. Let c(o) = -o**2 - 1. Let t(b) = a*f(b) - 6*c(b). Factor t(i).
3*(i - 1)*(i + 1)
Let s be (9 - -6)/(2/(2/3)). Let p(u) = u**2 + 3. Let x(i) = -17*i**2 + 388*i - 143. Let o(v) = s*p(v) + x(v). Factor o(g).
-4*(g - 32)*(3*g - 1)
Let j(o) = -35*o**4 - 120*o**3 - 4455*o**2 - 4325*o. Let q(f) = -3*f**4 - 11*f**3 - 405*f**2 - 393*f. Let t(h) = 4*j(h) - 45*q(h). Factor t(k).
-5*k*(k - 11)*(k + 1)*(k + 7)
Let c(f) be the first derivative of f**6/7 - 69*f**5/35 + 9*f**4/4 + 89*f**3/7 + 39*f**2/14 - 90*f/7 - 1206. Let c(r) = 0. Calculate r.
-1, 1/2, 3, 10
Let r = -259 + 260. Let z be 34/340*4*r. Factor 6/5*b**4 + 0*b + 0 + 6/5*b**3 + z*b**5 + 2/5*b**2.
2*b**2*(b + 1)**3/5
Suppose 55 = -15*z - 3410. Let w = z + 234. Determine h, given that -9*h**2 - 9/4*h**4 + w*h + 33/4*h**3 + 0 = 0.
0, 2/3, 1, 2
Let w(b) be the first derivative of b**6/90 - 3*b**5/20 + 7*b**4/36 + b**3/2 - 4*b**2/3 - 35*b - 50. Let q(u) be the first derivative of w(u). Factor q(i).
(i - 8)*(i - 1)**2*(i + 1)/3
Let k(d) = 5 + 375*d + 0 - 3*d**2 - 368*d. Let n(b) = 10*b**2 - 22*b - 16. Let z(a) = -16*k(a) - 5*n(a). Let z(o) = 0. What is o?
-1, 0
Let g = 134495 - 1479121/11. Factor -156/11*w**3 + 432/11*w**2 - 54*w + g - 2/11*w**5 + 28/11*w**4.
-2*(w - 3)**4*(w - 2)/11
Factor 83*n + 401775 + 1543*n + 27400 + n**2 - 206*n + 74925.
(n + 710)**2
Let p = -194131/3 - -64713. Suppose p*l**2 + 6*l**4 + l - 2/3 - 22/3*l**3 - 5/3*l**5 = 0. What is l?
-2/5, 1
Suppose -5*g + 5*x = -7 - 8, -2*x = -5*g + 15. Suppose 1231*s**3 + 7*s**2 - 10*s - 5*s**4 + 8*s**2 - 1231*s**g = 0. Calculate s.
-2, 0, 1
Solve -2/5*i**3 + 4/5*i**2 - 2/5*i + 0 = 0.
0, 1
Let n(d) = -d**3 + 24*d**2 - 24*d + 26. Let o be n(23). Factor -670*m**2 + 1343*m**2 - 672*m**2 - 2*m + o*m**3.
m*(m + 1)*(3*m - 2)
Let h(p) be the third derivative of -p**5/480 - 271*p**4/24 - 73441*p**3/3 + 602*p**2. Factor h(c).
-(c + 1084)**2/8
Let c = 17/1140 - -9/76. Let s(m) be the second derivative of -1/75*m**6 + 0*m**2 + 0*m**3 + 45*m + c*m**4 + 0*m**5 + 0. Solve s(q) = 0 for q.
-2, 0, 2
Let -865*w - 8*w**3 + 160*w - 10*w**3 - 1014 + 3*w**3 - 1986*w - 396*w**2 = 0. What is w?
-13, -2/5
Let m(q) be the first derivative of q**6/6 - 5*q**5 + 107*q**4/4 + 133*q**3/3 - 240. Factor m(g).
g**2*(g - 19)*(g - 7)*(g + 1)
Let z be (175/112)/(((-2201)/(-372))/71). Suppose -435/2*h**4 + 147/2*h**2 - 33/4*h + 0 - z*h**5 - 117*h**3 = 0. Calculate h.
-11, -1, 0, 1/5
Let s(x) be the first derivative of 2*x**3/9 - 10*x**2/9 + 16*x/9 - 1924. Factor s(b).
2*(b - 2)*(3*b - 4)/9
Let o(a) be the first derivative of a**7/84 - a**6/20 - 3*a**5/20 + a**4/3 + 25*a + 58. Let z(k) be the first derivative of o(k). Find w such that z(w) = 0.
-2, 0, 1, 4
Let w(c) be the first derivative of -c**5/10 + 5*c**4/6 + c**3/3 - 5*c**2 + 228*c - 58. Let o(l) be the first derivative of w(l). Find y, given that o(y) = 0.
-1, 1, 5
Let x(o) be the third derivative of -o**5/60 + 8*o**4/3 - 295*o**3/6 - 868*o**2. Factor x(c).
-(c - 59)*(c - 5)
Let p(j) be the first derivative of -6*j - 3/10*j**3 + 9/100*j**5 - 1/10*j**4 - 16 + 3/5*j**2. Let i(b) be the first derivative of p(b). Solve i(d) = 0.
-1, 2/3, 1
Let h(y) be the first derivative of y**4/60 + 2*y**3/3 + 19*y**2/10 - 46*y - 31. Let a(c) be the first derivative of h(c). Factor a(k).
(k + 1)*(k + 19)/5
Let c(l) be the third derivative of l**5/30 + 419*l**4/12 - 9405*l**2. Find q such that c(q) = 0.
-419, 0
Let b = -781 + 2453. Let x be 2 + (b/24)/11. Factor -5/3*j**3 - 5 - x*j**2 - 35/3*j.
-5*(j + 1)**2*(j + 3)/3
Let t be (-39)/78 - (-1 + (-3)/2). Suppose -r - 2*g - t = -4*r, -4*g = 4. Factor r + 1/5*i**5 + 0*i + 0*i**3 - 6/5*i**4 + 0*i**2.
i**4*(i - 6)/5
Let o be -2*5/(-2)*7/5. Let d(a) = 32*a + 14. Let b be d(o). Determine n, given that 70*n**2 + b*n + 196 + 210*n + 46*n**2 + 8*n**3 = 0.
-7, -1/2
Let c(v) be the third derivative of -3/455*v**7 + 0*v - 427/130*v**5 - 2 - 931/52*v**4 + 686/39*v**3 - 187/780*v**6 - 8*v**2. Factor c(m).
-2*(m + 7)**3*(9*m - 2)/13
Let c(g) = -330*g**3 - 4700*g**2 - 20725*g - 16070. Let i(x) = 7*x**3 + 100*x**2 + 441*x + 342. Let v(t) = 2*c(t) + 95*i(t). Find z such that v(z) = 0.
-14, -5, -1
Let w be (-16)/6*60/40 - -6. Determine l so that -30 - 785*l**w + 720*l**3 - 135/2*l**5 + 135*l**4 + 535/2*l = 0.
-3, 1/3, 4
Let v(i) be the third derivative of i**8/336 + i**7/42 - i**6/20 - 8*i**5/15 + 4*i**4/3 - 1369*i**2. Find w, given that v(w) = 0.
-4, 0, 1, 2
Suppose -3492 = -554*d + 560*d. Let m be (-24)/(-28) - d/105. Determine h so that 16/5 - m*h + 4/5*h**2 + 12/5*h**3 = 0.
-2, 2/3, 1
Let d = -2 - -9. Suppose -438*m + 5*m**4 - 3*m**3 + 398*m + 6*m**3 - 20*m**2 + d*m**3 = 0. Calculate m.
-2, 0, 2
Factor -232/3*n**2 + 0*n + 0 - 4/9*n**3.
-4*n**2*(n + 174)/9
Determine o, given that 0 - 5/6*o**2 + 2275/6*o = 0.
0, 455
Let h be (-1)/(2404/2408 - 1). Let 602 - 30*k**2 - h + 3*k**3 = 0. Calculate k.
0, 10
Let l = -4 + -1. Let v(f) = -3*f**2 + 9*f - 5. Let n(r) = -55 + 13*r - 5*r**2 + 48 + r**2. Let p(b) = l*n(b) + 7*v(b). Find o, given that p(o) = 0.
-2, 0
Let t(y) be the first derivative of 0*y + 1/7*y**4 - 60 + 172/21*y**3 + 0*y**2. Solve t(d) = 0.
-43, 0
Suppose -68 = -4*c - 68. Let t(q) be the second derivative of c*q**2 - 9*q + 5/12*q**4 + 0 - 5/6*q**3. Factor t(r).
5*r*(r - 1)
Let o(u) be the second derivative of -4 + 3249/16*u**2 + 1/96*u**4 - 19/8*u**3 - 8*u. Find z, given that o(z) = 0.
57
Factor 201 + 4*s**2 - 2*s**2 - 37 + 6*s - 17*s - 75*s.
2*(s - 41)*(s - 2)
Let k(m) = 2*m - 12. Let r be k(5). Let d be (r/6)/(4/(-24)). Factor 18*x - 32*x - 3*x**3 + 11*x + 6*x**d.
-3*x*(x - 1)**2
Let v = 114 + -111. What is o in 0*o**3 - 18 - o**v - 8*o**2 + 3400*o - 3421*o = 0?
-3, -2
Factor -17/7 + 1/7*a**2 + 16/7*a.
(a - 1)*(a + 17)/7
Find v, given that -13420*v**4 - 33144*v**5 - 3596575410*v**2 - 3572584920 - 1897740060*v - 12015365*v**3 + 33139*v**5 - 5259418320*v = 0.
-894, -1
Suppose -188 + 48 = 10*t. Let d be (-11)/(4 - -7)*(2 + t). Factor -3/4*r**3 + 27/4*r**2 - 18*r + d.
-3*(r - 4)**2*(r - 1)/4
Let j(u) be the first derivative of 2/9*u + 392/27*u**3 - 28/9*u**2 - 89. Factor j(m).
2*(14*m - 1)**2/9
Let c be 2/(-11) + (6 - (-33648)/(-66)). Let m be ((-2)/(-5))/((-112)/c). Factor -12/5*t - 2/5*t**2 + 1/5*t**4 + m + 4/5*t**3.
(t - 1)**2*(t + 3)**2/5
Let z(m) = m**2 + 1635*m + 133222. Let d be z(-86). Let c(b) = -b**2 + b + 3. Let u be c(0). Suppose 18*a**2 + 10*a**u + d*a - 4 + 7/4*a**4 = 0. Calculate a.
-2, 2/7
Factor -570/11 + 106/11*w**2 - 2/11*w**3 + 466/11*w.
-2*(w - 57)*(w - 1)*(w + 5)/11
Solve -736/5*o + 106/5*o**3 - 843/5*o**2 + 9/5*o**4 + 204/5 = 0.
-17, -1, 2/9, 6
Let k be 11 - ((-8)/8 - -7). Let z(c) be the first derivative of -13 + 1/2*c**6 - 12*c**2 + 9/4*c**4 + 36*c - 13*c**3 + 3*c**k. Determine w so that z(w) = 0.
-3, -2, 1
Factor -10*g**4 - 21*g**5 + 42*g**5 - 24*g**5 + 5*g**4 - 100*g**4.
-3*g**4*(g + 35)
Suppose 7 = -10*m + 47. Suppose -24*k**4 - 27*k**m + 50*k**4 + 4*k**2 = 0. What is k?
-2, 0, 2
Let t(r) = -2*r**2 - 2*r + 1. Let p(w) = 48*w**2 + 3248*w + 910. Let x(y) = -p(y) - 10*t(y). Determine o so that x(o) = 0.
-115, -2/7
Let c(m) be the first derivative of -7*m**6 - 141*m**5/5 + 147*m**4/4 + 113*m**3 - 345*m**2/2 + 42*m + 11395. Solve c(i) = 0.
-7/2, -2, 1/7, 1
Let i be (5 - (3 - 1))/(15/20). Factor -2*v**2 - 3*v**3 - 2094*v**4 + 3*v**3 + 2096*v**i.
2*v**2*(v - 1)*(v + 1)
Let -300592*b + 4*b**4 + 1205604*b**2 - 4392*b**3 + 300592*b = 0. Calculate b.
0, 549
Suppose 1124*l + 4/3*l**3 - 580/3*l**2 - 1668 = 0. What is l?
3, 139
Let z(g) = -g**2 - 10*g + 13. Let n be z(-11). Suppose -n*j + 98 = 92. Factor 2/5*i**2 + 0*i + 2/5*i**j + 0.
2*i**2*(i + 1)/5
Factor 75*w**3 + 15*w**2 + 45*w**4 + 30*w**2 + 19*w**5 - 14*w**5 - 61*w**4 + 51*w**4.
5*w**2*(w + 1)*(w + 3)**2
Let w(o) be the third derivative of -5*o**8/672 - 5*o**7/42 - 29*o**6/48 + o**5/6 + 55*o**4/4 + 60*o**3 + 24*o**2 + o. Let w(b) = 0. Calculate b.
-4, -3, -2, 2
Let z = -25 - -27. Determine l so that -2*l + 13*l - 34 + 6 - l**z = 0.
4, 7
Factor -140/3*c - 22*c**2 + 2/3*c**3 + 0.
2*c*(c - 35)*(c + 2)/3
Let f(d) be the first derivative of d**5/10 - 23*d**4/8 + 19*d**3 + 72*d**2 - 432*d + 1071. Solve f(l) = 0 for l.
-3, 2, 12
Factor 