ive of 0*f - 1/30*f**3 + 1/24*f**4 + 0 - 1/75*f**5 - 14*f**2. Find k such that z(k) = 0.
1/4, 1
Suppose 79*k = 76*k + 6. Factor -b**k - 2*b - 7*b + 3*b**3 + 8*b**2 - b**2.
3*b*(b - 1)*(b + 3)
Let w(x) = 5*x**2 + 6*x + 10. Let k be w(-3). Let o = k + -33. Let -o*v**4 - 16 + 0 + 9*v**2 + 11*v**2 = 0. What is v?
-2, -1, 1, 2
Let u(x) = 4*x**2 + 668*x + 2293. Let p(d) = d**2 + 335*d + 1126. Let y(k) = 5*p(k) - 2*u(k). Solve y(z) = 0 for z.
-3, 116
Let o = -224 + 217. Let c be (594/924)/((-6)/o). What is j in -c*j**3 + 15/4*j - 3/2 - 9/4*j**2 + 3/4*j**4 = 0?
-2, 1
Suppose -5*a = 9 + 16. Let b(u) = -u**2 - 6*u + 3. Let l be b(a). Determine t so that l - 8*t + 4*t**2 + 14 - 18 = 0.
1
Find p, given that -32/19*p**4 + 180/19 + 136/19*p**3 - 138/19*p - 148/19*p**2 + 2/19*p**5 = 0.
-1, 1, 3, 10
Suppose r + 428 = 2*m + 61, 2*r = -2*m - 740. Let z be (-82)/r*1*18. Determine v so that -9/4*v**3 + 17/4*v**2 - 5/4*v**z + 0 - 3/4*v = 0.
-3, 0, 1/5, 1
Suppose -2*c = 2*d - 52, 8 = 5*d - 2. Let t be c/42 - (-76)/14. Factor -f + 19*f - 8*f - t - 2*f**3 - 2*f**2.
-2*(f - 1)**2*(f + 3)
Let p be (-159)/212 - (-62)/8. Suppose 16 = 4*h + 4*c, -2*h = -2*c + p*c - 5. Determine r so that -3/5*r**2 + 0*r - 3/5*r**3 + 3/5*r**4 + 3/5*r**h + 0 = 0.
-1, 0, 1
Let a(y) = 27*y + 326. Let d be a(-12). Let m(w) be the first derivative of -1/6*w**d + 1/12*w**4 + 0*w**3 + 1/6*w - 2 - 1/30*w**5. Solve m(u) = 0.
-1, 1
Factor 6*y + 0 - 209/7*y**2 + 163/7*y**3 + 4/7*y**4.
y*(y - 1)*(y + 42)*(4*y - 1)/7
Let o = -5/6 - -4/3. Suppose -7176 + 2366 = -5331*y + 6826 + 4357. Factor -9/2*i**4 + i**5 - 7*i**2 - o + 8*i**3 + y*i.
(i - 1)**4*(2*i - 1)/2
Factor 1/3*l**3 + 2*l**2 - 50/3 - 15*l.
(l - 5)*(l + 1)*(l + 10)/3
Factor 0*m**4 - 3*m**4 + 4060*m**3 + 130*m**2 - 46*m**2 - 4069*m**3.
-3*m**2*(m - 4)*(m + 7)
Let z(b) = 9*b**3 + 98*b**2 + 657*b - 760. Let w(n) = -58*n**3 - 586*n**2 - 3942*n + 4560. Let y(j) = 2*w(j) + 13*z(j). Factor y(o).
(o - 1)*(o + 8)*(o + 95)
Let q(z) = 2*z**2. Let r(a) = -9*a**2 - 14*a - 6. Let l(o) = o**2 + o - 1. Let h(g) = 6*l(g) + r(g). Let n(x) = -2*h(x) - 2*q(x). Factor n(b).
2*(b + 2)*(b + 6)
Let c = 49/192 + 5/64. Let d(x) be the second derivative of 8/27*x**3 + 0*x**5 - 1/9*x**4 + 0 - c*x**2 + 7*x + 1/135*x**6. Find a, given that d(a) = 0.
-3, 1
Let l be (-1991)/(-110)*4 + 3. Let t = 6459/85 - l. Suppose 16/17*b + 4/17*b**5 - 8/17 + t*b**2 - 2/17*b**4 - 20/17*b**3 = 0. What is b?
-2, -1, 1/2, 1, 2
Suppose 19*j - 24 = 7*j. Factor -16*v**j + 54*v**5 - 3*v**3 - 12*v**4 + 4*v**3 + 29*v**3 - 56*v**5.
-2*v**2*(v - 1)**2*(v + 8)
Let g(o) be the second derivative of 30926*o**4/3 + 188*o**3/3 + o**2/7 + o + 1221. What is i in g(i) = 0?
-1/658
Let p(v) = 2 - 3 + 3*v - 4*v. Let g(t) = 26*t**2 - 4*t + 11. Let x(h) = 5*h**2 + h + 1. Let a(l) = -g(l) + 5*x(l). Let r(w) = a(w) + 3*p(w). Factor r(q).
-(q - 3)**2
Factor -35646 + 44*x**2 + 25200*x + 56*x**2 + 100*x**2 + 205*x**2 + 427646.
5*(9*x + 280)**2
Let r = -885 - -884. Let z(a) = -a**3 + a**2 + 2*a. Let h(m) = 4*m**5 - 21*m**3 + 13*m**2 + 22*m - 8. Let d(w) = r*h(w) + 5*z(w). Let d(b) = 0. What is b?
-2, -1, 1
Suppose -543 + 539 = g - 4*z, -2*z + 16 = 3*g. Factor 19/7*x**2 + 0 - 4/7*x**g - 11/7*x**3 - 4/7*x.
-x*(x - 1)*(x + 4)*(4*x - 1)/7
Let g(c) be the second derivative of 0*c**2 + 0 - 32*c + 4/15*c**6 + 0*c**3 - 2/3*c**4 - 1/10*c**5 + 1/21*c**7. Determine a so that g(a) = 0.
-4, -1, 0, 1
Let m be (-12)/8*(2 - (-784)/(-12)). Let p = -92 + m. Suppose 12*y + 4*y**4 - y**p + 8*y**2 - 11*y**4 + 6*y**4 = 0. Calculate y.
-2, 0, 3
Let x(j) be the third derivative of -j**7/12600 + 11*j**6/3600 - j**5/60 - 4*j**4 - 8*j**2 + 1. Let m(r) be the second derivative of x(r). Factor m(z).
-(z - 10)*(z - 1)/5
Let x(h) = 1. Let v(u) = 2*u**2 - 64*u - 88. Let q(r) = v(r) + 12*x(r). Let i(a) = a**2 - 62*a - 78. Let y(s) = 6*i(s) - 5*q(s). Factor y(z).
-4*(z + 2)*(z + 11)
Let y(q) be the third derivative of 20 - 10/3*q**3 + 19/24*q**4 + 1/60*q**5 + 2*q**2 + 0*q. What is a in y(a) = 0?
-20, 1
Let r be (0 - 0)/(-1) - -2. Let v = 5721 - 5719. Factor -2*i**2 + 0*i**2 - v*i + r*i.
-2*i**2
Let j = -23 + 29. Suppose -3 = 3*s - 12. Factor -1 - 2*r**4 - j*r**4 - 6*r**s - r**4 + 12*r**2 - 2 + 6*r**5.
3*(r - 1)**3*(r + 1)*(2*r + 1)
Let y(d) be the third derivative of -1/12*d**5 - 215/12*d**4 - 2*d**2 - 9245/6*d**3 + 0 + 5*d. Factor y(m).
-5*(m + 43)**2
Suppose 5*z + 5*f - 10*f - 5 = 0, -4*f - 7 = -5*z. Factor 145 - 729*a**3 + 2187*a**2 + 81*a**4 + 138 - z*a**5 - 283.
-3*a**2*(a - 9)**3
Let d = 4119 - 4116. Let i(w) be the third derivative of 5/36*w**4 - 19*w**2 + 0 + 0*w - 1/90*w**5 - 4/9*w**d. Factor i(k).
-2*(k - 4)*(k - 1)/3
Let s(w) be the second derivative of -4*w**4/3 - 42*w**3/5 - 18*w**2/5 + 2*w - 374. Let s(v) = 0. Calculate v.
-3, -3/20
Let v(r) be the first derivative of -r**6/840 + r**4/168 + 3*r**2/2 - r + 3. Let t(a) be the second derivative of v(a). Let t(n) = 0. What is n?
-1, 0, 1
Suppose -53*q + 544 - 2399 = 0. Let t be ((-31)/q + -1)*(-34 + 19). Suppose -16/7*f**4 + t*f**3 + 4/7*f**2 + 0 + 0*f = 0. Calculate f.
-1/4, 0, 1
Let n(g) be the first derivative of g**5/15 + g**4/2 + 4*g**3/3 + 47*g**2 + 229. Let l(z) be the second derivative of n(z). Suppose l(p) = 0. Calculate p.
-2, -1
Let l(s) = -20*s - 278. Let r be l(-14). Factor -d**5 - 3*d**5 - 54*d**3 + r*d**5 + 48*d**3 - 2*d**4 + 30*d**3.
-2*d**3*(d - 3)*(d + 4)
Determine o, given that 0*o**2 + 7*o**2 - 88*o**2 - 25312500 + 69*o**2 - 22500*o + 7*o**2 = 0.
-2250
Let y = 1637 - 1620. Let f(q) be the first derivative of 21/2*q**2 - y + 6*q - 6/5*q**5 + 8*q**3 - 1/2*q**6 + 3/2*q**4. What is n in f(n) = 0?
-1, 2
Let f(i) be the third derivative of i**6/1140 + 8*i**5/285 - 155*i**4/228 + 46*i**3/19 - 2*i**2 + 110. Factor f(h).
2*(h - 6)*(h - 1)*(h + 23)/19
Let j(v) = -21*v - 183. Let c be j(-10). Suppose -3*f - c*y + 32*y + 6 = 0, 0 = 4*y. Find l, given that 18/7*l - 8/7 + 5/7*l**f = 0.
-4, 2/5
Let l = 475318 - 475315. What is p in 1/8*p**l - 1/2*p**2 + 0 - 5/8*p = 0?
-1, 0, 5
Let v be 7 + (-11)/((-22)/(-8)). Factor 29*z - 61*z - 2*z**3 - z**v - z**4 + 34*z + z**2 + z**5.
z*(z - 2)*(z - 1)*(z + 1)**2
Let b(g) be the first derivative of g**6/15 - 87*g**5/50 + 61*g**4/20 + 194*g**3/15 - 138*g**2/5 - 16*g - 4421. Find a, given that b(a) = 0.
-2, -1/4, 2, 20
Let b(p) be the second derivative of -6*p**5/5 - 71*p**4/9 + 8*p**3/9 - 317*p. Find h such that b(h) = 0.
-4, 0, 1/18
Factor 3344/9*c - 372 + 4/9*c**2.
4*(c - 1)*(c + 837)/9
Let y(f) = 3*f**3 + 570*f**2 + 567*f + 21. Let r(z) = 9*z**3 + 1710*z**2 + 1701*z + 70. Let s(t) = 3*r(t) - 10*y(t). Solve s(n) = 0 for n.
-189, -1, 0
Suppose f + 20 = 6*f. Suppose -6*b + 5*m = -2*b + 8, -16 = -4*m. Factor x**3 - 8*x**4 + 5*x**4 - 3*x**5 + f*x**3 + 3*x**2 - 2*x**b.
-3*x**2*(x - 1)*(x + 1)**2
Factor -3/4*q**2 + 0*q**3 - 3/8 - q + 1/8*q**4.
(q - 3)*(q + 1)**3/8
Let x = 17635 + -17621. Let p(y) be the second derivative of 3*y**4 - 26*y + x*y**2 + 10*y**3 + 1/5*y**5 + 0. Factor p(u).
4*(u + 1)**2*(u + 7)
Suppose 9*g - 9 = 6*g. Factor 95 - 6*u**3 + 0*u**g + 80*u**2 + 10*u**3 + 148*u - 23.
4*(u + 1)**2*(u + 18)
Suppose g = -9*g. Suppose a + i - 2 = 0, g = -2*a + 5*i - i + 16. Factor 47*p**2 + 3*p**a - 51*p**2 - 6*p**3 - 5*p**4 + 0*p**3.
-2*p**2*(p + 1)*(p + 2)
Suppose 0 = -79*y + 85*y - 12. Factor -403 - 3*l**y + 403 + 6*l.
-3*l*(l - 2)
Let r = 1676 - 1662. Suppose -96 - r = -55*u. Factor 6*d - 16/5*d**u - 32/5*d**3 + 18/5.
-2*(d - 1)*(4*d + 3)**2/5
Let x(k) = -36*k**4 - 14*k**3 + 22*k - 44. Suppose 66 = 2*z - 22. Let d(s) = 5*s**4 + 2*s**3 - 3*s + 6. Let w(o) = z*d(o) + 6*x(o). Factor w(u).
4*u**3*(u + 1)
Suppose a = 2*m - 1, -a - m + 5 = -0*a. Factor -19*u - 72 - 17*u - 21*u + 54*u**2 - 27*u**3 + 69*u + a*u**4.
3*(u - 6)*(u - 2)**2*(u + 1)
Suppose 23 = 2*q + 2*q - 3*k, k + 5 = 0. Factor 22*j**2 - 33*j**3 - 51*j**2 + 27*j**4 + 35*j**q.
3*j**2*(j - 1)*(9*j - 2)
Let o(q) = -q + 9. Suppose -12 - 2 = -2*h. Let r be o(h). Factor r*m + m**2 - 4*m + 4*m**2 - 3*m.
5*m*(m - 1)
Let b(d) = -16*d**3 + 18*d**2 + 54*d - 182. Let l(v) = -5*v**3 + 6*v**2 + 18*v - 60. Let o be 108/(-10) - (-208)/260. Let w(s) = o*l(s) + 3*b(s). Factor w(c).
2*(c - 3)**2*(c + 3)
Determine h, given that -h**4 - 122 + 3492*h**2 - 1150 - 108*h**3 + 1916*h - 4458*h**2 + 273*h**3 = 0.
2, 159
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