c.
-1, -2/7, 1
Let u(d) = -d**3 + 2. Let r be u(0). Let v = 2 + r. Factor s**4 + 3*s**v - 2*s**2 + 1 - 3*s**3 - 3*s**2 - s + 4*s.
(s - 1)**2*(s + 1)*(4*s + 1)
Factor -33*v**3 + 42*v - 66*v + 27*v**2 - 24*v + 2*v**4 + v**4 + 51*v**2.
3*v*(v - 8)*(v - 2)*(v - 1)
Suppose 19 = -3*c - 38. Let p = 31 + c. Factor 2*o**3 - 4*o + p*o**2 - 6*o**2 - 4*o**2.
2*o*(o - 1)*(o + 2)
Let c(x) = x**2 - x. Let p(h) = h - 2*h + 5 - 2 + 2*h. Let u be p(-2). Let i(q) = -6*q**2 + 9*q - 4. Let w(s) = u*i(s) + 5*c(s). Factor w(d).
-(d - 2)**2
Let q(z) = -28*z**2 + 18*z + 10. Let h(a) = -27*a**2 + 18*a + 9. Let c(b) = 6*h(b) - 5*q(b). Factor c(f).
-2*(f - 1)*(11*f + 2)
Factor 16/7*w + 8/7*w**3 + 18/7*w**2 + 5/7 + 1/7*w**4.
(w + 1)**3*(w + 5)/7
Find c, given that 0 + 0*c + 4/9*c**3 + 0*c**2 - 2/9*c**4 = 0.
0, 2
Let w(n) be the second derivative of n**4/102 + 64*n**3/51 - 65*n**2/17 - 4*n + 70. Let w(s) = 0. Calculate s.
-65, 1
Let h(o) be the second derivative of -8*o**6/15 + 3*o**5/5 + 5*o**4/3 - 2*o**3 - 2*o**2 + o + 162. Solve h(b) = 0 for b.
-1, -1/4, 1
Factor -296*c**2 - 2*c**4 - 167*c - 256*c - 1152 - 224*c - 40*c**3 - 313*c.
-2*(c + 4)**2*(c + 6)**2
Let f be -1 + 5 + (-4 - -5). Let i be 2/f*((-88)/(-16) - 4). Find j, given that 6/5*j**3 + 0*j**2 - 6/5*j - 3/5 + i*j**4 = 0.
-1, 1
Let x(p) be the third derivative of p**6/320 + 9*p**5/40 + 285*p**4/64 - 361*p**3/8 - 51*p**2. What is u in x(u) = 0?
-19, 2
Let u(q) = -9*q**2 - 379*q - 6 + 761*q - 403*q. Let j(h) be the first derivative of 10*h**3/3 + 11*h**2 + 5*h + 1. Let c(w) = -6*j(w) - 7*u(w). Factor c(z).
3*(z + 1)*(z + 4)
Suppose -4*b + 25 = b, 2*b = -5*c + 10. Let i(f) be the first derivative of -6 + 1/9*f**4 + 0*f**2 + 2/45*f**5 + c*f + 2/27*f**3. Factor i(l).
2*l**2*(l + 1)**2/9
Let s = 14 + -20. Let c(d) = -4*d**2 + 11*d. Let a(g) = -4*g**2 + 10*g. Let y(i) = s*c(i) + 7*a(i). Factor y(h).
-4*h*(h - 1)
Let c(h) = 22*h**2 - 2*h - 10. Let x = 22 + -19. Let b(q) = -7*q**2 + q + 3. Let j(t) = x*c(t) + 10*b(t). What is u in j(u) = 0?
0, 1
Let s = -4 + 19. Suppose 3*z = 24 - s. Find r, given that 0*r**2 + 0*r - 1/3*r**z - 5/6*r**4 - 1/2*r**5 + 0 = 0.
-1, -2/3, 0
Let y be 1/2 - 3/6. Suppose -2*h + 5 - 1 = y. Suppose -2*g**2 + 0 + h*g**3 + 0 + 8 - 5*g**3 + 12*g = 0. Calculate g.
-2, -2/3, 2
Factor 148/5*l - 2/5*l**2 - 2738/5.
-2*(l - 37)**2/5
Determine z, given that 4*z**4 - 7*z**2 - 10*z**2 - 13*z**2 - 27*z + 26*z**4 - z**5 + 4*z**5 + 24*z**3 = 0.
-9, -1, 0, 1
Let h be -23 - 3224/(-130) - 4/(-20). Suppose -2/3*z**3 + 2/9*z**5 - 4/9*z + 10/9*z**h - 2/9*z**4 + 0 = 0. Calculate z.
-2, 0, 1
Let n(w) be the third derivative of -w**6/120 + 3*w**5/40 + 35*w**3/6 - 42*w**2. Let d(p) be the first derivative of n(p). Factor d(u).
-3*u*(u - 3)
Let q(i) = 15*i**2 + 10*i - 5. Let v(d) = -14*d**2 - 11*d + 4. Let m(r) = 6*q(r) + 7*v(r). Factor m(w).
-(w + 2)*(8*w + 1)
Suppose 0 = -5*n + 3*y + 80, 3*n + y = -2*y + 48. Suppose -n = -4*g + 8. Suppose -6*j**2 - 2*j**3 + 2*j**4 + g*j**3 - 8*j**2 + 16*j**2 = 0. Calculate j.
-1, 0
Let s(h) be the first derivative of -h**4/26 + 20*h**3/39 - 19*h**2/13 - 60*h/13 - 40. Factor s(c).
-2*(c - 6)*(c - 5)*(c + 1)/13
Let d(r) be the third derivative of -r**5/60 - 57*r**4/4 - 9747*r**3/2 + 338*r**2. Let d(w) = 0. What is w?
-171
Let q(u) = u**3 - 6*u**2 - 41*u + 232. Let z be q(5). Factor 0 - 2/9*c + 2/9*c**3 - 2/9*c**4 + 2/9*c**z.
-2*c*(c - 1)**2*(c + 1)/9
Let a(r) be the third derivative of -r**8/23520 - r**7/2940 - r**6/1260 + 2*r**4/3 - 2*r**2. Let q(g) be the second derivative of a(g). Factor q(m).
-2*m*(m + 1)*(m + 2)/7
Let -8/19*p - 24/19 + 2/19*p**2 = 0. What is p?
-2, 6
Let a(d) be the second derivative of 0*d**4 + 0*d**2 + 0 + 14*d + 10/63*d**7 + 0*d**3 - 14/45*d**6 + 2/15*d**5. Find v such that a(v) = 0.
0, 2/5, 1
Let w(o) = o - 15. Let l be w(12). Let b(n) = -n**2 - 4*n. Let r be b(l). Factor -2/7*t**2 + 0 - 4/7*t + 2/7*t**r.
2*t*(t - 2)*(t + 1)/7
Let f(g) = -5*g**4 + 88*g**3 + 90*g**2 + 3*g. Let l(c) = -40*c**4 + 705*c**3 + 720*c**2 + 25*c. Let h(s) = -25*f(s) + 3*l(s). Determine x, given that h(x) = 0.
-1, 0, 18
Find o such that -8/15*o**2 + 2/15*o**5 - 2/15*o**3 + 0 + 8/15*o**4 + 0*o = 0.
-4, -1, 0, 1
Solve 120*j**4 + 145*j**3 + 5*j**5 + 34*j**3 - 29*j**3 - 15*j + 20*j**5 + 40*j**2 = 0.
-3, -1, 0, 1/5
Let f be 360/28 - 2/(-14). Factor -f*a**2 - 3*a**2 - 20*a**4 - 7*a**5 + 9*a**5 - 6*a**5 - 32*a**3.
-4*a**2*(a + 1)*(a + 2)**2
Let v(u) = -u**3 - 6*u**2 - 18*u - 17. Let p be v(-2). Suppose 10/13*h**p - 8/13*h + 0 + 16/13*h**2 = 0. What is h?
-2, 0, 2/5
Let h(m) = 3*m**3 - 3*m**2 - 16*m - 5. Let q(f) = 5*f**3 - 5*f**2 - 24*f - 7. Let w(z) = 7*h(z) - 5*q(z). Let w(o) = 0. Calculate o.
-1, 0, 2
Let v(f) be the third derivative of f**6/270 - 8*f**5/135 - 23*f**4/54 + 20*f**3/9 + 211*f**2. Determine w, given that v(w) = 0.
-3, 1, 10
Let u(f) = -8*f**3 - 21*f**2 + 17*f - 11. Let p(d) = -4*d**3 - 10*d**2 + 9*d - 5. Let l(r) = -5*p(r) + 2*u(r). Determine m so that l(m) = 0.
-3, 1/2
Let v(u) be the third derivative of u**6/960 - 3*u**5/160 + u**4/8 - u**3/3 + 20*u**2 + 5. Let v(p) = 0. Calculate p.
1, 4
Let h = -29 - -33. Solve c**4 - 3*c**h + 6*c**4 = 0 for c.
0
Let o(i) = 27*i**2 - 150*i + 291. Let c(a) = 11*a**2 - 60*a + 116. Let p(y) = 12*c(y) - 5*o(y). Suppose p(v) = 0. What is v?
3, 7
Let h(q) = -30*q**2 + 5*q - 4. Let y be h(2). Let u = y - -229/2. Factor u*o**2 - 1/2*o - 1.
(o - 2)*(o + 1)/2
Let l = 1632/143 - 146/13. Determine b so that 0 + l*b**3 + 8/11*b - 8/11*b**2 = 0.
0, 2
Let l be 18/14 - 28/98. Let r = l + 2. Factor -t + 2*t - 2*t**2 - 2*t**r + t**5 + 2*t**4 + 1 - t**4.
(t - 1)**2*(t + 1)**3
Suppose 4*v = -2*r - 122, -5*v - 4*r = -3*r + 145. Let c be 3/(-9) - v/12. Solve -2 + 12*x + c + 4*x**2 + 0*x = 0 for x.
-3, 0
Let s be (0*17/221)/(2 - 1). Let -2/13*c**3 - 2/13*c**2 + s + 0*c = 0. What is c?
-1, 0
Let a be 2 + (1 - 0 - 0). What is x in -11*x**2 + 3*x**3 + 3*x**4 - a*x**3 + 12*x**2 - 4*x**3 = 0?
0, 1/3, 1
Suppose -39/2*h**2 - 43/2*h**3 - 15/2*h**4 + 1 - 9/2*h = 0. Calculate h.
-1, 2/15
Let i(u) = -11*u**5 + 18*u**4 - 2*u**3 - 20*u**2 - 3*u + 2. Let r(k) = k**5 - k**4 + k**3 + 1. Let v(a) = 5*i(a) + 40*r(a). Determine l, given that v(l) = 0.
-1, 1, 10/3
Factor -34*a**3 - 46*a**2 - 76*a - 6*a**2 + 30*a**3 + 132.
-4*(a - 1)*(a + 3)*(a + 11)
Suppose -23*h + 18*h - 10 = 0. Let y be 1/(-3)*(-2 + (-1)/h). Factor 3/2 + y*g**2 - 2*g.
(g - 3)*(g - 1)/2
Let p be (-276)/(-96) - (-2)/16. Factor u**3 - 1 + 10 + 30*u - u**p + 33*u**2 + 12*u**3.
3*(u + 1)**2*(4*u + 3)
Let w be (1248/(-1456))/(4/(-14)). Find q such that -10/7*q + 8/7*q**2 + 6/7*q**w - 4/7 = 0.
-2, -1/3, 1
Determine k, given that 2*k**5 + 32*k**2 + 12*k**4 - 252*k**3 + 280*k**3 - 7 + 18*k + 11 = 0.
-2, -1
Let v(f) be the second derivative of 0*f**2 + 0 - 2/3*f**4 + 0*f**3 + 2*f + 7/5*f**5. Suppose v(z) = 0. Calculate z.
0, 2/7
Let h(b) be the third derivative of -b**5/140 - 15*b**4/4 - 1575*b**3/2 + 56*b**2 + 1. Factor h(u).
-3*(u + 105)**2/7
Find g, given that -17 + 15/2*g + 1/2*g**2 = 0.
-17, 2
Let p(s) = 97*s + 9*s**4 - 6 - 50*s + s**5 - 53*s - 16*s**3. Let f(z) = 10*z**4 - 15*z**3 - 5*z - 5. Let r(x) = 6*f(x) - 5*p(x). Find y such that r(y) = 0.
0, 1, 2
Let c(v) = -2*v + 8. Let d be c(-3). Factor -4*t**3 + 6*t - 9*t + 16*t**2 - 3*t - d*t + 8.
-4*(t - 2)*(t - 1)**2
Let g(d) be the second derivative of -d**7/1680 - d**6/240 + 5*d**3/6 + d. Let r(l) be the second derivative of g(l). Factor r(b).
-b**2*(b + 3)/2
Let g be ((-6)/(-18))/(2 + 129/(-63)). Let i be g/(-126) - (-3)/18. Determine u so that -32/9 - i*u**2 - 16/9*u = 0.
-4
Let h be (36/28)/3*7. Solve -218*g**h - 2 + 30*g**2 - 10*g**4 + 214*g**3 + 2 - 8*g - 8 = 0.
-2, -2/5, 1
Factor 578/11 + 68/11*g + 2/11*g**2.
2*(g + 17)**2/11
Let b = -14 + 20. Let d = b + -2. Determine u so that -d + 0 + 8*u - 5*u + 5*u - 4*u**2 = 0.
1
Let y = 259 - 259. Let p(r) be the third derivative of 1/135*r**5 - 2/27*r**3 + y + 0*r - 4*r**2 + 5/108*r**4 - 1/108*r**6. Factor p(j).
-2*(j - 1)*(j + 1)*(5*j - 2)/9
Suppose 4*s - 108*o - 79 = -109*o, 5*s = -3*o + 97. Suppose -2/3*y**2 + s*y - 150 = 0. Calculate y.
15
Suppose -3/4*x**4 + 0*x + 15/4*x**2 + 0 + 3*x**3 = 0. What is x?
-1, 0, 5
Let z(f) be the second derivative of -f**5/90 - f**4/27 + 4*f**3/27 + 8*f**2/9 + 12*f - 2. Factor z(n).
-2*