1)
Solve 5*z**5 + 80*z**4 - 122*z**2 + 26*z**2 + 16*z**2 - 11*z**3 + 6*z**3 = 0 for z.
-16, -1, 0, 1
Solve -2/11*w**2 - 4*w + 336/11 = 0 for w.
-28, 6
Suppose 0 = -v + 2*u + 63, 331 + 54 = 5*v + 4*u. Determine m, given that -v*m**2 + 82 + 120*m - 40 - 43*m**2 - 46 = 0.
1/29, 1
Let t = 3/37 - -105/74. Let g(f) = f**3 + 19*f**2 - 311*f + 1893. Let p be g(-31). Factor p - 8*z - t*z**3 + 13/2*z**2.
-(z - 2)**2*(3*z - 1)/2
What is h in -8/7*h**3 + 2/7*h**4 + 80/7*h + 96/7 - 26/7*h**2 = 0?
-3, -1, 4
Let o(x) = -2*x**2 - 20*x - 80. Let z be o(-28). Let a = z - -1092. Factor 17/2*m**3 - 10*m**2 + 0 - 2*m**a + 2*m.
-m*(m - 2)**2*(4*m - 1)/2
Suppose -5*t - 5*k = -370, 2*t + 5*k - 105 - 58 = 0. Let -33*s**2 - 144 - 19*s + 70*s + t*s + 3*s**3 = 0. Calculate s.
3, 4
Let u(l) be the first derivative of -l**4/2 - 31*l**3/3 - 50*l**2 - 92*l - 4413. What is o in u(o) = 0?
-23/2, -2
Let p = -52/81 - -88/81. Let d(m) be the first derivative of -8/3*m**2 + 0*m - 4 + p*m**3. Find f such that d(f) = 0.
0, 4
Let b(m) = 78*m**2 + 29*m - 27. Let g(l) = 31*l**2 + 14*l - 13. Let k(r) = -8*b(r) + 20*g(r). Solve k(n) = 0 for n.
1, 11
Suppose 50 = 12*u - 22. Factor -u*t**2 - 8*t**4 - 5*t**3 + 6*t - 4*t**2 - 17*t**3 - 2*t.
-2*t*(t + 1)*(t + 2)*(4*t - 1)
Factor -5*f**2 - 8 - 48*f - 103 - 33 + 0*f**2 + f**2.
-4*(f + 6)**2
Let w(b) = -3*b**2 - 93*b + 2. Let d = -674 - -643. Let l be w(d). Factor 52/3*h**l + 1/3*h**4 - 4*h**3 + 64/3 - 32*h.
(h - 4)**2*(h - 2)**2/3
Let q(p) = 3*p**4 - p**3 + p - 1. Let t(a) = -10*a**4 - 2*a**3 + 64*a**2 + 62*a + 2. Let f(w) = 2*q(w) + t(w). Let f(c) = 0. Calculate c.
-4, -1, 0, 4
Let c(g) be the third derivative of -g**5/420 - g**4/56 + 11*g**3/3 - 66*g**2 + 30. Factor c(y).
-(y - 11)*(y + 14)/7
Let r be ((91350/84)/87)/((-25)/(-10)). Determine g, given that -24*g**2 + 18/7*g**4 + 0*g + 384/7 + 3/7*g**r - 12/7*g**3 = 0.
-4, -2, 2
Let h(m) be the first derivative of 11 + 2*m - 8/7*m**2 + 2/21*m**3. Factor h(a).
2*(a - 7)*(a - 1)/7
Let d be 9/(-18)*364/(-143). Factor -d*t + 4/11*t**2 - 8/11.
2*(t - 4)*(2*t + 1)/11
Let b(n) = 17*n**3 + 4240*n**2 - 14673*n + 5192. Let v(j) = -30*j**3 - 8480*j**2 + 29345*j - 10385. Let a(s) = -5*b(s) - 2*v(s). Factor a(t).
-5*(t - 3)*(t + 173)*(5*t - 2)
Factor -2*c**2 + 749*c + 0*c**2 - 1567*c - 2*c**2 - 680 + 710*c.
-4*(c + 10)*(c + 17)
Let k be (-4)/(-6) - 6/9. Suppose 5*g - 18 = 2*w, -g + k = -w - 3. Determine l, given that -2*l - l**3 - l**4 - 2*l + g*l = 0.
-1, 0
Let u = 91974 + -91970. Find f, given that 3*f**u + 0*f - 9/2*f**3 + 3/2*f**2 + 0 = 0.
0, 1/2, 1
Let p(r) be the first derivative of -2*r**3/15 + 2224*r**2/5 - 4446*r/5 - 4746. Factor p(c).
-2*(c - 2223)*(c - 1)/5
Let z(q) be the first derivative of -q**3 - 123*q**2/2 - 2881. Factor z(w).
-3*w*(w + 41)
Let v be -7*6/(-28) + (-26013)/30. Let i = 878 + v. Factor -8/5 - 32/5*w**3 - 112/5*w**2 + i*w.
-2*(w + 4)*(4*w - 1)**2/5
Let -6/7*n**2 - 250/7*n - 244/7 = 0. Calculate n.
-122/3, -1
Let z be (-89)/20 + (-18642)/(-3585). Factor 0 - 3/4*j + 0*j**2 + z*j**3.
3*j*(j - 1)*(j + 1)/4
Let w be (2/15)/(42 + (-141600)/3375). Solve 0*v - 2/9*v**2 + 4/9*v**w + 0 = 0 for v.
0, 1/2
Let b(l) = 6700*l**2 + 1655*l - 29. Let i(v) = 6700*v**2 + 1655*v - 25. Let q(j) = -5*b(j) + 6*i(j). Find r, given that q(r) = 0.
-1/4, 1/335
Let j(h) = 3*h**4 - 14*h**3 - 237*h**2 - 356*h + 620. Let d(u) = -6*u**4 + 27*u**3 + 471*u**2 + 711*u - 1239. Let m(r) = -4*d(r) - 9*j(r). Solve m(a) = 0 for a.
-4, 1, 13
Suppose -51*z + 61*z = 80. Factor -z*x - 9*x**4 - 10*x**2 - 21*x**2 - 6*x**3 - 7*x**2 + 58*x**2.
-x*(x + 2)*(3*x - 2)**2
Suppose 105*q - 205*q - f + 3 = -98*q, -3*f + 9 = 0. Factor q + 3/4*r - 3/4*r**2.
-3*r*(r - 1)/4
Let j = 4866871/7110 - 38/3555. Find n, given that -73/2*n**2 + j - 1295/2*n - 1/2*n**3 = 0.
-37, 1
Let r(b) be the second derivative of 32*b**6/15 - 56*b**5/5 + 73*b**4/3 - 28*b**3 + 18*b**2 + 2*b + 16. Factor r(c).
4*(c - 1)**2*(4*c - 3)**2
Let s(f) = 4*f**2 - 2*f. Let b(i) = -5*i**2 + 3*i - 1. Let a(r) = -r**2 - 4*r - 1. Let c be a(-2). Let p(j) = c*s(j) + 2*b(j). Determine l so that p(l) = 0.
-1, 1
Let n(b) = -b**3 + 11*b**2 - 13*b + 33. Let d be n(10). Factor 4*t + 555*t**2 + 56*t - 450 + 2*t**4 - 60*t**d - 107*t**2.
2*(t - 15)**2*(t - 1)*(t + 1)
Let j(a) be the first derivative of -a**4/10 + 984*a**3/5 - 544644*a**2/5 - 1995. Factor j(y).
-2*y*(y - 738)**2/5
Let k = 809005/21 - 38524. Let b(d) be the second derivative of 0 + 4/15*d**6 + 0*d**2 + 0*d**3 - 1/2*d**5 + 1/3*d**4 + 2*d - k*d**7. Factor b(p).
-2*p**2*(p - 2)*(p - 1)**2
Let d(u) = -6*u**3 - 300*u**2 - 3020*u + 3662. Let x(z) = 2*z**3 + 100*z**2 + 999*z - 1221. Let r(v) = -5*d(v) - 14*x(v). Factor r(m).
2*(m - 1)*(m + 19)*(m + 32)
Factor 1/5*l**4 - 3843/5*l**2 - 27587/5*l - 13034 - 169/5*l**3.
(l - 190)*(l + 7)**3/5
Let -2/11*d**3 + 0 + 0*d**2 + 0*d = 0. Calculate d.
0
Let m(a) be the first derivative of 32*a**5 + 335*a**4/4 + 190*a**3/3 + 15*a**2/2 + 477. Factor m(y).
5*y*(y + 1)**2*(32*y + 3)
Let x be (1 + -1)*48/(-96). Factor -625 + 3*h**3 + 85 - 119*h + 407*h - 51*h**2 + x*h**2.
3*(h - 6)**2*(h - 5)
Find f such that -48 + 224/5*f + 4/5*f**3 - 12*f**2 = 0.
2, 3, 10
Let m = 7865 - 94379/12. Let d(r) be the third derivative of 0 - 19*r**2 + 0*r + 1/24*r**6 - 5/6*r**3 - 5/24*r**4 + m*r**5. Let d(v) = 0. Calculate v.
-1, 1
Let o(n) be the first derivative of -2*n**6/3 + 556*n**5/5 - 546*n**4 + 3256*n**3/3 - 1082*n**2 + 540*n - 9412. Let o(u) = 0. Calculate u.
1, 135
Let k(f) be the third derivative of -f**7/280 - f**6/30 + f**5/8 - 52*f**3/3 + 87*f**2. Let d(b) be the first derivative of k(b). Factor d(g).
-3*g*(g - 1)*(g + 5)
Suppose 3*q + 21 = 5*s, 18*q - 17*q = 3*s - 15. Let g(l) be the second derivative of 0*l**2 + 20*l - 1/39*l**4 - 1/39*l**q - 1/130*l**5 + 0. Factor g(o).
-2*o*(o + 1)**2/13
Suppose -3*l - 14 = -26. Factor -l*f**3 + 12 + 78 + 255*f + 39*f**3 - 200*f**2.
5*(f - 3)**2*(7*f + 2)
Let n(s) = s**3 - 52*s**2 + 34*s + 2. Let m be n(51). Let f = m + 3463/4. Factor 9/4*z**2 + 0 - f*z.
3*z*(3*z - 1)/4
Factor -6/7*r**3 + 108/7*r**2 - 282/7*r + 180/7.
-6*(r - 15)*(r - 2)*(r - 1)/7
Let m(w) = -40*w**2 - 24725*w - 49440. Let z(i) = -3*i**2 - 2060*i - 4120. Let v(a) = -2*m(a) + 25*z(a). Suppose v(s) = 0. Calculate s.
-2, 412
Suppose l - 15 = 4*n, 89*l - 86*l = 5*n + 24. Solve 204 - k**l + 41311*k - 411*k**2 - 26*k**3 - 40483*k = 0.
-17, -2/9, 2
Let p be (-208)/(-100) + (-13)/((-1625)/(-10)). Let i(f) be the second derivative of 8/9*f**3 - f**p + 0*f**5 + 20*f + 1/45*f**6 - 1/3*f**4 + 0. Factor i(n).
2*(n - 1)**3*(n + 3)/3
Suppose 235 = 5*j - g, -3*j + 13*g = 11*g - 148. Let p = -5 + 7. Determine c, given that 12 - 6*c**4 + 46*c**3 - j*c + 6*c**p - 28*c**2 + 14*c**4 + 2*c**2 = 0.
-6, -1, 1/4, 1
Suppose h + 1 = -2*o + 2, -o - 13 = -4*h. Let c(i) = -h + 3 + i**2 - 2*i**2. Let q(x) = -2*x**3 - 10*x**2. Let z(t) = -6*c(t) + q(t). Factor z(j).
-2*j**2*(j + 2)
Factor -33/5*t**2 + t**3 + 31/5*t + 69/5.
(t - 3)*(t + 1)*(5*t - 23)/5
Let k = 7408/42813 + 234/4757. Factor k*s**2 - 46/9*s - 16/3.
2*(s - 24)*(s + 1)/9
Let x(g) be the third derivative of -g**6/200 - 327*g**5/100 + 33*g**4 - 662*g**3/5 - 209*g**2 - 6*g + 1. Find z, given that x(z) = 0.
-331, 2
Let k(p) be the second derivative of 1/80*p**5 + 3/8*p**3 - 10*p + 0 + 0*p**2 - 1/8*p**4. Find i such that k(i) = 0.
0, 3
Suppose -8 = 4*h + 2*m, 0 = 5*h - m - m - 8. Suppose -5*n - 9*n + 70 = h. Let 0*w**2 + 0 + 1/2*w**4 - 3/4*w**n + 0*w**3 + 0*w = 0. What is w?
0, 2/3
Let f(g) = g + 9. Let r(y) = 3*y + 18. Let z(p) = -11*f(p) + 6*r(p). Let j be z(0). Factor -5*m**3 + 6*m - j*m - 5*m**2 + 13*m.
-5*m*(m - 1)*(m + 2)
Factor 0*z + 0 + 1/8*z**4 - 27/4*z**3 + 329/8*z**2.
z**2*(z - 47)*(z - 7)/8
Let m = 3296 + -3293. Let b(s) be the second derivative of 0 + 1/24*s**6 + 0*s**m - 9/80*s**5 + 0*s**2 + s - 1/24*s**4. Factor b(w).
w**2*(w - 2)*(5*w + 1)/4
Let n(d) be the second derivative of 1/3*d**3 + 0*d**2 + 3/2*d**4 + 0 - 243*d + 17/40*d**5. Let n(v) = 0. What is v?
-2, -2/17, 0
Let t be ((-3)/9)/((-1)/(-3)). Let n(j) = j**3 + j**2 + j + 1. Let q(v) = 40*v**3 + 85*v**2 + 95*v + 50. Let m(c) = t*q(c) + 30*n(c). Factor m(d).
-5*(d + 1)*(d + 4)*(2*d + 1)
Let y(q) be the second derivative of 6*q**4 + 350*q**3/3 - 100*q**2 - 4*q + 292. Factor y(a).
4*(a + 10)*(18*a -