mine b, given that r(b) = 0.
-6, -2, 1, 2
Factor -5*m**4 - 4*m**3 - m**4 + 2*m**4 + 24*m**2 + 3*m**2 - 12*m - 7*m**2.
-4*m*(m - 1)**2*(m + 3)
Let s = 4261/14 + -595/2. Factor s*t**2 + 0 + 2/7*t**4 - 18/7*t**3 - 32/7*t.
2*t*(t - 4)**2*(t - 1)/7
Let p be (-118)/(-413) - (-1906)/(-6720). Let y(r) be the third derivative of 12*r**2 - 1/120*r**5 + 0 + 0*r**3 + p*r**6 + 0*r**4 + 0*r. Factor y(z).
z**2*(z - 2)/4
Suppose 247*w = 257*w - 150. Let y = -23 - -38. Factor -5 + y*s - 1 - 3*s**2 - w*s**3 + 23*s**4 - 14*s**4.
3*(s - 1)**2*(s + 1)*(3*s - 2)
Let h be ((-2 - 3) + 2)*(-2 + 1). Determine c so that 4*c**2 - 9*c**2 - 225*c + 0*c**3 + 50*c**2 + 375 - h*c**3 = 0.
5
Suppose m = 47 + 13. Let u be (m/2)/2*(-5)/(-5). Factor 26*q**4 - 6*q**4 + 20*q**4 + 0*q**3 - u*q**5 - 20*q**3.
-5*q**3*(q - 2)*(3*q - 2)
Let o be (2/(-14))/((-8)/16). Let g = -3283 + 3285. Solve -12/7*f - g + o*f**2 = 0 for f.
-1, 7
Let q(n) be the second derivative of 2*n**6/15 - 39*n**5/5 + 190*n**4 - 7400*n**3/3 + 18000*n**2 + 3368*n. Find h such that q(h) = 0.
9, 10
Let s(l) = 2*l**2 + 12*l + 1. Let w(y) = 39*y**2 + 171*y + 186. Let b(i) = 18*s(i) - w(i). Let b(x) = 0. What is x?
7, 8
Let a(g) be the first derivative of -3*g**5/5 - 651*g**4/4 - 15549*g**3 - 1071129*g**2/2 + 2334102*g - 1314. Factor a(c).
-3*(c - 2)*(c + 73)**3
Let r(s) be the third derivative of s**5/80 - 17*s**4/16 + 253*s**3/8 + 83*s**2 - 8. Find w such that r(w) = 0.
11, 23
Let p(y) be the third derivative of y**7/1260 - y**6/54 + 4*y**5/45 - 71*y**3/6 + 41*y**2. Let a(o) be the first derivative of p(o). Let a(g) = 0. What is g?
0, 2, 8
Suppose -4*p - p + 61266 = x, 0 = -4*p - 3*x + 49015. Determine h so that -13*h**3 - 216*h**2 + h**3 - 12028*h + p*h - 57 = 0.
-19, 1/2
Let t(x) be the first derivative of 1/20*x**5 + 1/4*x**4 - 1/2*x**3 - 38 + 5/4*x - 1/2*x**2. Factor t(w).
(w - 1)**2*(w + 1)*(w + 5)/4
Suppose 99*t = -63*t + 48*t - 92*t. Factor 0*k + 6/13*k**2 - 8/13*k**4 + 2/13*k**3 + t.
-2*k**2*(k - 1)*(4*k + 3)/13
Let c be (-1)/((-8)/(-6))*(-94 + 90). Let 16*i + 8*i**2 - 4*i**5 - 36*i**c + 4*i + 8 - 4*i**4 - 5*i**4 + 20*i**3 - 7*i**4 = 0. What is i?
-2, -1, 1
Factor 0 - 2/11*m**3 - 2113568/11*m + 4112/11*m**2.
-2*m*(m - 1028)**2/11
Let i be (12 - 6657/555)*(-183)/2. Let b = 1/185 - i. Factor -1/2*z**3 - b*z**2 + 0 + z.
-z*(z - 1)*(z + 2)/2
Let j be 8*664/32*2/318. Let b = j - 20/53. Factor 0 + 0*p**2 + 1/3*p**4 + b*p**3 + 0*p.
p**3*(p + 2)/3
Let v(p) be the second derivative of -23/16*p**4 - 12167/8*p**2 - 10 - p - 529/8*p**3 - 1/80*p**5. Factor v(t).
-(t + 23)**3/4
Suppose 0 = 68*a - 75*a - 70. Let t be 132/330*a/(-12). Factor -2/3*v + 0 - t*v**2.
-v*(v + 2)/3
Let f(s) be the second derivative of s**4/36 + 634*s**3/9 + 200978*s**2/3 - 156*s + 18. Factor f(z).
(z + 634)**2/3
Let u(l) be the first derivative of l**5/60 - 5*l**4/18 + 17*l**3/18 - 4*l**2/3 + 27*l - 109. Let z(y) be the first derivative of u(y). Solve z(x) = 0.
1, 8
Let m = 49/32 + -9/32. Suppose 29*v - 398*v = -738. Solve -m*o**3 + 0 + 10*o + 5/2*o**v = 0.
-2, 0, 4
Suppose t - 5*t + 244 = 0. Let f be (-140)/40*(-30)/35. Factor -p**3 + 66*p**2 + 4 - t*p**2 + f*p - 11*p.
-(p - 2)**2*(p - 1)
Let i(k) = 4*k**2 + 8*k - 32. Let d be i(-7). Find b such that 152*b**2 + 32*b**5 + 12*b**4 + 88*b**3 + d*b + 25 + 3 - 36*b**5 = 0.
-1, 7
Let g(w) = 2*w**3 - 77*w**2 + 323*w + 3. Let l(y) = 3*y**3 - 153*y**2 + 647*y + 7. Let p = 8215 - 8218. Let k = 8 - 1. Let v(q) = k*g(q) + p*l(q). Factor v(j).
5*j*(j - 8)**2
Suppose 4*t - 114 = 3*i, 3*t + 3*i = 52 + 65. Let p(a) be the second derivative of 1/90*a**4 + 0 - t*a + 1/15*a**3 + 2/15*a**2. Find x, given that p(x) = 0.
-2, -1
Let n(k) = k**4 - k**3 + 4*k**2 - k + 1. Let t(j) = -24*j**3 + 4*j**2 + 16*j + 20. Let x(m) = -4*n(m) + t(m). Determine u so that x(u) = 0.
-4, -1, 1
Let v(k) be the first derivative of -6*k**5/25 + 107*k**4/5 - 1774*k**3/15 + 1076*k**2/5 - 536*k/5 + 7538. Let v(j) = 0. What is j?
1/3, 2, 67
Let d(x) be the second derivative of x**6/105 - 13*x**5/70 - 13*x**4/42 + 181*x**3/21 - 156*x**2/7 + 3670*x. Determine s so that d(s) = 0.
-4, 1, 3, 13
Let q(r) be the third derivative of -112*r**2 - 3/38*r**5 + 0 - 20/57*r**3 - 7/570*r**6 - 1/1995*r**7 - 13/57*r**4 + 0*r. Determine f so that q(f) = 0.
-10, -2, -1
Let t = -505 - -497. Let a(d) = -2*d**2 + 2*d - 3. Let y(h) = 2 + h**2 + 4*h**2 + 7 - 6*h. Let s(n) = t*a(n) - 3*y(n). Factor s(b).
(b - 1)*(b + 3)
Let b(j) be the third derivative of -j**7/2100 - j**6/900 - 38*j**3/3 + 13*j**2. Let t(x) be the first derivative of b(x). Suppose t(u) = 0. Calculate u.
-1, 0
Let z(b) be the second derivative of b**5/4 - 5415*b**4/4 + 5864445*b**3/2 - 6351193935*b**2/2 - 8900*b. Factor z(f).
5*(f - 1083)**3
Let n(d) = 2*d + 2. Let t be n(-4). Let x(z) = 9*z**2 + 5*z + 38. Let a(j) = 4*j**2 + 2*j + 18. Let f(v) = t*x(v) + 13*a(v). Determine g, given that f(g) = 0.
-3, 1
Let l(d) be the second derivative of d**7/1995 - d**6/190 + 8*d**4/57 + 38*d**2 + d + 1. Let o(m) be the first derivative of l(m). What is g in o(g) = 0?
-2, 0, 4
Let a(f) be the first derivative of -3*f**5/25 - 217*f**4/20 - 3502*f**3/15 + 7714*f**2/5 - 8664*f/5 - 1139. What is z in a(z) = 0?
-38, 2/3, 3
Let p(v) be the first derivative of -2*v**3/21 - 3568*v**2/7 - 6365312*v/7 + 1576. Factor p(k).
-2*(k + 1784)**2/7
Suppose 8*o - 6 - 10 = 0. Suppose 3*t + o*t = 45. Suppose 6*f + 3*f**2 + t*f - 3*f + 5 - 20 = 0. Calculate f.
-5, 1
Let o = 297170/21 + -42452/3. Let 2/7*d**5 + 0*d + 0*d**3 + 0 + 0*d**2 + o*d**4 = 0. Calculate d.
-1, 0
Let a(x) = 6*x - 17. Let w be a(5). Suppose -8*p + 37 = w. Solve -16*k**2 - 6*k**3 + 8*k**3 - k**p - 20*k - 8 - 5*k**3 = 0 for k.
-2, -1
Let s = -119/10 - -2207/30. Let b = s + -61. Determine z so that 4/3*z**3 + b*z**4 - 2/3*z**5 - 2/3*z - 4/3*z**2 + 2/3 = 0.
-1, 1
Let v = 1009 + -1568. Let u = v + 561. Factor 4/13*m**u + 0 - 2/13*m - 2/13*m**3.
-2*m*(m - 1)**2/13
Factor -876096 - 3289*w + 1767*w - 2222*w - 4*w**2.
-4*(w + 468)**2
Let m(s) = -13*s**3 - 162*s**2 - 677*s + 90. Let n(f) = 19*f**3 + 242*f**2 + 1015*f - 126. Let z(a) = -7*m(a) - 5*n(a). Factor z(p).
-4*p*(p + 7)*(p + 12)
Let h(v) be the first derivative of -v**5/55 + 9*v**4/44 - 13*v**3/33 - 45*v**2/22 + 50*v/11 + 1613. Let h(x) = 0. Calculate x.
-2, 1, 5
Let c(m) be the third derivative of 1/720*m**6 + 1/48*m**4 + 1/3*m**3 + 0 + 8*m**2 + 0*m - 1/120*m**5. Let d(p) be the first derivative of c(p). Factor d(i).
(i - 1)**2/2
Let f be ((-2)/(-4))/((-5)/360*-4). Factor -f*v**4 + 4*v**4 + 0*v**4 + 28*v**2 + 26*v**3 - 7*v**4 - 54*v**3 + 12*v.
-4*v*(v - 1)*(v + 3)*(3*v + 1)
Let z(m) = -m**3 - 11*m - 1. Let x(j) = 15*j**3 - 243*j**2 + 1605*j - 684. Let w(d) = x(d) + 9*z(d). Factor w(k).
3*(k - 33)*(k - 7)*(2*k - 1)
Find b such that 2684/9*b + 2/9*b**2 - 2686/9 = 0.
-1343, 1
Suppose 0 = -20*g + 30*g. Find a, given that 6/5*a**4 + 1/5*a**5 + 0*a**2 + g + 8/5*a**3 + 0*a = 0.
-4, -2, 0
Let i be (((-43)/387)/(2/(-6)))/((-5)/(-18)). Let u be 8/14*(-1785)/(-150). Determine h so that -42/5*h**2 - i + 6/5*h**3 + 8/5*h**4 + u*h = 0.
-3, 1/4, 1
Let s(g) be the first derivative of 15558480/11*g**2 - 98 + 493920/11*g**3 + 1/33*g**6 + 261382464/11*g + 84/11*g**5 + 8820/11*g**4. Solve s(w) = 0 for w.
-42
Let x(q) be the third derivative of 7/30*q**5 - 2/3*q**4 + 2*q**2 + 1/60*q**6 + 0*q**3 + 0*q + 36. Let x(z) = 0. Calculate z.
-8, 0, 1
Suppose 65*x - 60*x - 10 = -b, 0 = -4*x + 4*b + 56. Let h(z) = 4*z**2 + z. Let y be h(-1). Factor 0 + 2/3*v**x + 1/3*v**2 + v**y + 0*v.
v**2*(v + 1)*(2*v + 1)/3
Suppose -42*b - 10 = -47*b. Factor -176*j - 71 - 9 - 513*j**b + 1381*j**2 + 180*j**3.
4*(j + 5)*(5*j - 2)*(9*j + 2)
Let j(o) = -8*o + 65. Let a be j(-18). Let r be (a/(-627))/((-3)/((-9)/(-2))). Suppose 0 + b**4 - 5/4*b**3 + 0*b - 1/4*b**5 + r*b**2 = 0. Calculate b.
0, 1, 2
Solve 82847*d**2 - 163873*d**2 - 2592*d - 192*d**3 + 3*d**4 + 82268*d**2 + 1539 = 0.
1, 3, 57
Suppose -3845*g + 5899 + 2491 = -3145. Factor 2/9*y**4 + 0*y**g + 0 - 2*y**2 + 0*y.
2*y**2*(y - 3)*(y + 3)/9
Let k(s) = 2*s**2 + 70*s + 248. Let m be (3 - -2) + 0 + -10. Let a(w) = -5*w**2 - 140*w - 495. Let v(f) = m*k(f) - 3*a(f). Factor v(n).
5*(n + 7)**2
Let w(i) be the second derivative of i**8/504 - i**7/105 + i**6/90 - 11*i**2 - 223*i. Let c(o) be the first derivative of w