 85. Suppose k(f) = 0. What is f?
1, 436
Suppose 23*q = 3570 + 432. Find y such that 10*y**3 - 179*y**4 + q*y**4 + 35*y**3 - 39*y**2 - 30 - 36*y**2 - 30*y**2 + 95*y = 0.
1, 6
Suppose -6*p = 30 - 24. Let z(j) = 7*j**5 - j**4 + j**3 - 3*j**2 + 6*j - 6. Let a(k) = k**5 + k**3 + k - 1. Let b(t) = p*z(t) + 6*a(t). Solve b(y) = 0 for y.
-1, 0, 3
Solve -39*l**2 + 85*l + 42*l**2 + 89*l + 486*l = 0.
-220, 0
Let 0*i**5 + i**3 - 77*i**4 + 8*i**3 + 138*i**2 - 3*i**5 + 29*i**4 - 96*i = 0. Calculate i.
-16, -2, 0, 1
Let y(i) = -3*i - 12. Let w be y(-5). Let v be (4/5)/(5/(125/10)). Factor -30*o + 16 - 18*o - 2*o**2 + 4*o**4 + 54*o**v - 24*o**w.
4*(o - 2)**2*(o - 1)**2
Let z(r) be the third derivative of 3/7*r**3 + 0*r - 2/21*r**4 + 0 - 76*r**2 - 1/210*r**5. Factor z(p).
-2*(p - 1)*(p + 9)/7
Let x(m) be the second derivative of -m**6/30 + 6*m**5/5 + m**4/3 - 16*m**3 + m + 134. Factor x(g).
-g*(g - 24)*(g - 2)*(g + 2)
Let f(t) be the third derivative of t**8/110880 + t**7/27720 - 7*t**5/60 + t**4/24 + 11*t**2 + t. Let w(j) be the third derivative of f(j). Factor w(u).
2*u*(u + 1)/11
Suppose -39*s**2 - 358*s + 3078 + 158*s + 41*s**2 = 0. What is s?
19, 81
Let c(v) be the second derivative of v**6/90 - 9*v**5/20 - 121*v**4/36 - 31*v**3/6 - 33*v - 134. Factor c(z).
z*(z - 31)*(z + 1)*(z + 3)/3
Find n such that -4/7*n**4 - 864/7 - 236/7*n**3 - 1112/7*n**2 - 1744/7*n = 0.
-54, -2, -1
Let l(y) = y**3 + 142*y**2 + 555*y + 411. Let j(k) = -k**2 - 4*k - 2. Let x(f) = 3*j(f) + l(f). Solve x(r) = 0.
-135, -3, -1
Let m(w) = 44*w**2 - 6*w - 7. Let p be m(-1). Let -4*z + 2*z**4 + 6*z**3 - 4*z**4 + p*z**5 + 6*z**2 - 4*z**2 - 45*z**5 = 0. Calculate z.
-2, -1, 0, 1
Suppose 52 - 1/2*h**2 - 103/2*h = 0. Calculate h.
-104, 1
Let n(g) = 111*g - 39. Let o be n(1). Let -o + 52*h + 34*h - 48*h**2 + 8*h + 22*h + 4*h**3 = 0. What is h?
1, 2, 9
Let x(u) be the first derivative of -u**4 - 188*u**3/3 + 202*u**2 + 588*u + 2180. Factor x(j).
-4*(j - 3)*(j + 1)*(j + 49)
Let g(h) = -13*h**2 - h. Let w(u) = -34*u**2 + 897*u. Let b(z) = 3*g(z) - w(z). Factor b(o).
-5*o*(o + 180)
Let z be 2 + 34 + (9 - 45). Let 0*q - 27/2*q**2 + 3/2*q**3 + z = 0. What is q?
0, 9
Let c(o) be the third derivative of o**5/540 + 43*o**4/72 + 127*o**3/27 + 2485*o**2 + 2. Factor c(u).
(u + 2)*(u + 127)/9
Find r, given that 320*r**3 - 13*r**2 + 4*r**5 - 243*r**2 + 6600723 - 68*r**4 - 6600723 = 0.
0, 1, 8
Suppose 5*c = 5*h - 1914 + 1774, 0 = 5*h + 5*c - 220. Factor -3/2*b**2 - 15*b - h.
-3*(b + 4)*(b + 6)/2
Let g be 22/77 - (1 - (-1088)/(-14)). Let s = -74 + g. Factor -150*t**s - 7*t - t**2 + 149*t**3 - 7*t**2.
-t*(t + 1)*(t + 7)
Let c(s) be the first derivative of 2*s**3/3 + 6684*s**2 + 22337928*s + 1079. Factor c(u).
2*(u + 3342)**2
Suppose 45 + 268 - 7*t**4 + 596*t + 781*t - 2191*t**2 + 265 + 243*t**3 = 0. What is t?
-2/7, 1, 17
Suppose 4*f + 270 = 5*f + 4*l, 0 = 3*f - 2*l - 782. Let y = -776/3 + f. Factor -8/3*b**2 - y*b - 4/3 - 2/3*b**3.
-2*(b + 1)**2*(b + 2)/3
Let k(w) = -w**3 + 19*w**2 - 83*w - 4. Let b be k(7). Solve -628*i + 0*i**5 - i**5 - 162*i**b + 648*i**2 + 24*i**4 - 36*i**3 - 101*i = 0.
0, 3, 9
Let u(k) = -5*k**2 - 150*k - 1280. Let a(x) = 2*x. Let v(r) = -10*r + 59. Let j be v(6). Let c(f) = j*u(f) + 5*a(f). Factor c(y).
5*(y + 16)**2
Let q(j) be the first derivative of j**6/24 + 7*j**5/12 + 55*j**4/24 + 25*j**3/6 + j**2 - 23*j - 221. Let t(d) be the second derivative of q(d). Factor t(y).
5*(y + 1)**2*(y + 5)
Let c be 4/3 + (-8)/12. Let z be ((-59)/(-177))/(3 + -2). Solve 0*g**3 - z*g**4 + 0 + g**2 - c*g = 0.
-2, 0, 1
Let c(f) = -12*f**3 + 36*f**2 - 136*f - 178. Let w(z) = 17*z**3 - 36*z**2 + 135*z + 179. Let p(d) = -3*c(d) - 2*w(d). Factor p(y).
2*(y - 11)*(y - 8)*(y + 1)
Let x(o) be the first derivative of 1/6*o**4 - 18 + 0*o**2 - 1/3*o**3 - 1/15*o**6 + 1/10*o**5 - 16*o. Let d(t) be the first derivative of x(t). Factor d(f).
-2*f*(f - 1)**2*(f + 1)
Suppose -3 = -210*r + 209*r. Let a(h) be the first derivative of 21/2*h**2 - 18*h - 3/5*h**5 + 7 - 9/4*h**4 + 3*h**r. Factor a(c).
-3*(c - 1)**2*(c + 2)*(c + 3)
Let v = -219362/5 + 43876. Let -33/5*a + 3/5*a**3 - 12/5*a**2 - v = 0. Calculate a.
-1, 6
Let w be 69614/(-108) + (-8)/(-108). Let c = w - -649. Factor 0*v**2 + 0 - c*v**3 + 2*v.
-v*(3*v - 2)*(3*v + 2)/2
Determine s, given that -4*s**2 + 267 + 3*s**2 + 71 - 31*s - 72 = 0.
-38, 7
Let i(u) be the first derivative of 1/38*u**4 - 16/57*u**3 + 21/19*u**2 - 36/19*u - 56. Determine k so that i(k) = 0.
2, 3
Let v be -9*1*(-3)/1. Let b = 42 - v. Solve -b*m**3 + 10 + 45*m + 8*m**2 + 4*m**2 - 10*m - 2*m**2 = 0 for m.
-1, -1/3, 2
Let j be 533/(-39) + (3213/(-21))/(-9). Find z, given that 4/3 - 2*z - j*z**2 = 0.
-1, 2/5
Suppose -26*p + 1200 = -66*p. Let u be (-5)/7*12/p. Factor -u*k + 0 + 2/7*k**2 - 2/7*k**4 + 2/7*k**3.
-2*k*(k - 1)**2*(k + 1)/7
Let s(i) be the third derivative of i**6/24 + 25*i**5/12 + 65*i**4/2 - i**2 - 170*i + 2. Determine l, given that s(l) = 0.
-13, -12, 0
Suppose 55*z**4 - 4*z**3 + 8*z**4 - 119 - 745 - 396*z**2 - 4*z**5 + 1080*z - 17*z**4 - 18*z**4 = 0. What is z?
-4, 2, 3
Suppose 80*j = -135*j + 141*j + 296. Factor 2 + 1/5*u**j - 9/5*u**3 - 27/5*u + 5*u**2.
(u - 5)*(u - 2)*(u - 1)**2/5
What is p in 1200 - 5*p**3 + 146*p - 87*p**2 - 19*p**2 - 261*p - 29*p**2 - 195*p = 0?
-24, -5, 2
Let w(c) be the first derivative of 1/13*c**3 + 1/78*c**4 + 14*c + 2/13*c**2 - 1. Let k(r) be the first derivative of w(r). Factor k(z).
2*(z + 1)*(z + 2)/13
Suppose 5*b + 2366 = a, b + 452 = 3*a - 10. Let o = -469 - b. Factor 0 - o*m**3 + 10/3*m - 5/3*m**2.
-5*m*(m + 1)*(3*m - 2)/3
Suppose 28 = 65*y - 79*y. Let h be (-7)/(-35) - y*124/60. Find o, given that 2*o**3 + 0 + 0*o - 5/3*o**5 + 0*o**2 - h*o**4 = 0.
-3, 0, 2/5
Suppose 8*n + 2*k = 7*n, 18 = 2*n - 5*k. Factor n*y + y**2 - 2 - 10 + 3*y - 6*y - 8.
(y - 4)*(y + 5)
Let g = -24590 - -24592. Let f(c) be the second derivative of 0*c**g + 0*c**3 + 1/50*c**5 - 6*c + 0 - 1/75*c**6 + 1/15*c**4. Factor f(h).
-2*h**2*(h - 2)*(h + 1)/5
Let t be (376/(-24) - -19)*(-3)/14*-7. Find n, given that 64/15 + 2/5*n**t - 208/15*n + 72/5*n**2 - 2/3*n**4 - 68/15*n**3 = 0.
-4, 2/3, 1, 2
Suppose 0 = -h + 135 - 133. Let g be 9 - (h - (-24)/8). Factor 0*y - 1/4*y**g + 1/2*y**2 + 1/4*y**3 + 0.
-y**2*(y - 2)*(y + 1)/4
Suppose 3*z = 5*k - 9, -z = -5*k + 95 - 82. Let l(x) be the first derivative of 0*x - 5 + 24/7*x**3 + 3/35*x**5 + 24/7*x**z + 27/28*x**4. Factor l(g).
3*g*(g + 1)*(g + 4)**2/7
Suppose -2*j = 5*y - 54, 134 = 4490*j - 4488*j + 13*y. Factor 2*x**j + 2*x**3 - 20/9*x + 0.
2*x*(3*x - 2)*(3*x + 5)/9
Let h = 14579 + -14576. Let s(p) be the first derivative of -4/3*p**h - 29 - 8*p**2 + p**4 + 16*p. Determine j, given that s(j) = 0.
-2, 1, 2
Let v(i) = i**3 + 5*i**2 + 5*i + 3. Suppose -2 = 4*s + 10. Let f be v(s). Factor -4*b**4 + 10*b**2 - f*b**5 + b**5 - 6*b**4 + 5*b.
-5*b*(b - 1)*(b + 1)**3
Let i = -50038/31 - -1614. Let l = i + 55/186. Solve l*y**2 + 6 - 2*y = 0.
6
Let o be ((-1)/5)/(1088/(-85) - -8). Let q(c) be the second derivative of 0*c**3 - 7*c + 0*c**2 - 1/40*c**5 + 0 + o*c**4. Find b such that q(b) = 0.
0, 1
Let f(t) = 45*t**5 - 345*t**4 + 1044*t**3 - 360*t**2 + 12. Let x(y) = -5*y**5 - y**4 - y**3 - 2. Let r(o) = -f(o) - 6*x(o). Find i, given that r(i) = 0.
0, 2/5, 3, 20
Let g be 8/2 - (-12)/3. Let x be ((-6 - g)/7)/(0 + -1). Factor -8/9 + 4*z**x - 28/9*z.
4*(z - 1)*(9*z + 2)/9
Let j(c) be the first derivative of c**4/48 - c**3/8 - c**2/2 + 30*c + 261. Let b(g) be the first derivative of j(g). Let b(f) = 0. What is f?
-1, 4
Let 43*h - 367*h**2 + 99*h**2 + 5*h**3 + 68 + 129*h - 25*h**2 + 48 = 0. What is h?
-2/5, 1, 58
Let p = -32386/525 - -4648/75. Factor -16/7 - p*x**2 - 12/7*x.
-2*(x + 2)*(x + 4)/7
Let g = 273 - 267. Let u(v) = -v**3 + 4*v**2 + 7*v + 32. Let d be u(g). Factor 3/5*f**3 + 21/5*f + 9/5 + 3*f**d.
3*(f + 1)**2*(f + 3)/5
Let p(q) be the third derivative of -7/9*q**4 + 0*q + 0*q**3 - 40*q**2 - 1/90*q**5 + 0. Find u, given that p(u) = 0.
-28, 0
Let 14 - 1/12*i**3 - 1/6*i - 5/4*i**2 = 0. Calculate i.
-14, -4, 3
Let y(k) be the first derivative of -144*k - 4/3*k**3 + 24*k**2 + 106. Let y(o) = 0. What is o?
6
Solve 8*w**2 + 1058/9 + 184/3*w = 0 for w.
-23/6
Determine y so that 2/5*y**2 - 268/5*y + 786/5 = 0.
3, 131
Let m(c) be the second derivative of c**6/