**3 - 24*y**2 + 45*y - 17. Let d be r(22). Solve -3*v**2 + 3*v**3 + 1129*v**4 - 562*v**4 + 3*v**d - 2*v - 560*v**4 = 0.
-1, 0, 2/3
Let z(h) = 0*h**4 - 301*h**2 + 316*h**2 - 3*h**4. Let q(l) = 5*l**4 - 2*l**3 - 29*l**2. Let f(s) = 6*q(s) + 11*z(s). Factor f(v).
-3*v**2*(v + 1)*(v + 3)
Factor 4/3*l**2 - 1/6*l**4 + 0*l - 8/3 + 0*l**3.
-(l - 2)**2*(l + 2)**2/6
Let -60/11*z - 2/11*z**3 + 26/11*z**2 + 0 = 0. Calculate z.
0, 3, 10
Let k be (-13 - (-2483)/195)*(-5)/8. Let u(f) be the first derivative of 8 - k*f**3 + f - 7/8*f**2. Factor u(b).
-(b + 4)*(2*b - 1)/4
Let w(v) = -3*v**3 + 242*v**2 - 19196*v + 511988. Let b(p) = -p**3 + p**2 + 2*p - 6. Let o(r) = -2*b(r) + w(r). Solve o(z) = 0.
80
Let u = -809 + 811. Determine z, given that 78*z**4 - 110*z**4 + 255*z**u - 40 - 50*z + 67*z**4 - 200*z**3 = 0.
-2/7, 1, 4
Let s(q) be the first derivative of 2*q**5 + 43*q**4/2 + 44*q**3/3 - 16*q**2 + 955. Determine w so that s(w) = 0.
-8, -1, 0, 2/5
Let g(s) = s**3 - 184*s**2 - 4561*s + 5977. Let d be g(206). Let -3/2*t**5 + 41*t**4 + 0 - 90*t**d + 63*t**2 - 25/2*t = 0. Calculate t.
0, 1/3, 1, 25
Suppose -5*t + 84 = 3*f, -2*t + 2*f = -f - 42. Suppose t = 2*z + 14. Determine c so that 2*c**2 + 4*c + z + c**2 - c**2 + 0 = 0.
-1
Let t = -275 + 295. Let v be 12/t*(3 + 2). Determine b so that -3 - 3/4*b**2 + v*b = 0.
2
Let o be (2/(8/(-2063)))/((-235)/564). Let y = 1238 - o. Factor 2/5 + 1/5*s - y*s**2.
-(s - 2)*(s + 1)/5
Solve -25*p**2 + 1/4*p**3 + 25 - 1/4*p = 0.
-1, 1, 100
Let m(o) = -231*o**3 - 599*o**2 + 780*o + 74. Let r(g) = -2085*g**3 - 5390*g**2 + 7030*g + 665. Let q(j) = -55*m(j) + 6*r(j). Determine y so that q(y) = 0.
-4, -4/39, 1
Let c(h) be the second derivative of h**5/140 + 353*h**4/84 - 59*h**3/7 - 9*h + 47. Suppose c(z) = 0. Calculate z.
-354, 0, 1
Suppose 45 = 15624*f - 15609*f. Let i(a) be the first derivative of -6*a**2 + 2/3*a**f + 0*a + 1/2*a**4 + 18. Factor i(y).
2*y*(y - 2)*(y + 3)
Let m be (-333)/(-481)*-13*19/(-3). Solve m*u - 3/2*u**2 - 1083/2 = 0 for u.
19
Let p(t) be the third derivative of -t**7/1260 - t**6/45 + t**5/9 + 4*t**4/9 - 4*t**3 + 1538*t**2. Suppose p(g) = 0. Calculate g.
-18, -2, 2
Let j be (-5)/((-21)/14 - 1). Let f(y) be the first derivative of -16/3*y**j + 128/3*y - 34 + 2/9*y**3. Factor f(s).
2*(s - 8)**2/3
Let l(w) = -w**2 + 9*w + 43. Let s be l(12). Let q be 2/(2*s) + 73 + -72. Determine y, given that -8/7*y**3 - 40/7*y + 34/7*y**2 + q = 0.
1/4, 2
Suppose -28 = 4*a - 0. Let o be a*5/((-105)/9). Determine v so that -8*v**o + 3*v**5 - 12*v**2 - 59*v**4 + 53*v**4 - 13*v**3 = 0.
-1, 0, 4
Suppose 16 = d + 12, 3*v = -7*d + 37. Let i(s) be the first derivative of -9/8*s**2 - 3*s - 27 + 1/4*s**v. Suppose i(y) = 0. Calculate y.
-1, 4
Let b be 6/14*2/3. Let p be (12/(-13))/((-9954)/12324). What is t in -p*t - b*t**2 - 8/7 = 0?
-2
Let z(f) be the second derivative of 0*f**2 - 1/120*f**6 + 7/80*f**5 + 5/24*f**3 - 7 + f - 11/48*f**4. Factor z(l).
-l*(l - 5)*(l - 1)**2/4
Let j(x) = -x**3 - 4*x**2 + 3*x + 14. Suppose -293*g = -326*g - 132. Let v be j(g). Factor -4*u - 5/3*u**v - 4/3 + 2*u**3.
(u - 2)*(2*u + 1)*(3*u + 2)/3
Let q(y) = y**4 + y**3 + 2*y**2 - 7*y - 2. Let z(w) = -3*w**4 + 201*w**3 - 174*w**2 - 975*w - 590. Let d(s) = -q(s) + z(s). Factor d(i).
-4*(i - 49)*(i - 3)*(i + 1)**2
Let n(t) be the second derivative of -t**6/1080 - t**5/120 + 5*t**4/36 + 5*t**3/6 + t**2 - 52*t. Let k(d) be the second derivative of n(d). Factor k(x).
-(x - 2)*(x + 5)/3
Let f be ((-1256)/4396)/((-60)/126). Factor -192/5 + 18*n + f*n**2.
3*(n - 2)*(n + 32)/5
Determine q, given that -10/9*q**5 - 1152 - 1440*q - 8/9*q**4 + 80*q**3 + 64*q**2 = 0.
-6, -4/5, 6
Let t be (-171)/(-95) - 73/(-365). Find x, given that 0 - 4/7*x**t + 44/7*x = 0.
0, 11
Let q = 244205/9 + -27133. Factor -8/9 + q*l**2 - 4/9*l**3 + 4/9*l.
-4*(l - 2)*(l - 1)*(l + 1)/9
Let y(n) = 4*n**2 - 53*n + 96. Let s(f) = f**2 - 13*f + 24. Suppose o + 305 = 314. Let z(k) = o*s(k) - 2*y(k). Suppose z(c) = 0. What is c?
3, 8
Suppose 78*o - 82*o = 8. Let p be (-4 - -9) + o + (-12)/4. Factor p + 5*u**3 + 4/5*u + 4*u**2.
u*(5*u + 2)**2/5
Let g(x) be the third derivative of -7*x**5/75 - 71*x**4/60 - x**3/3 - 43*x**2 - 23*x. Factor g(c).
-2*(c + 5)*(14*c + 1)/5
Let n(i) be the second derivative of 33 + 1/3*i**4 + 2*i + 62*i**2 + 64/3*i**3. Find j, given that n(j) = 0.
-31, -1
Let p = -381/4 - -5747/60. Let u(n) be the first derivative of -1/5*n**4 - p*n - 28/15*n**2 + 13 - 10/9*n**3. Factor u(g).
-2*(g + 2)**2*(6*g + 1)/15
Suppose 80*z + 18 = 86*z. Solve -36*m**2 + 11 - 153 + 3*m**z - 180*m - 50 = 0 for m.
-2, 16
Let h be 8/(-18) + 215824/2520 + -42. Factor h + 126/5*n**2 + 2/5*n**4 + 54*n + 26/5*n**3.
2*(n + 3)**3*(n + 4)/5
Let q(c) = -7*c + 2*c**2 + 2*c + 7 - 9*c + 3*c. Let s be q(5). Let 11*f**3 + 0*f**s + 5*f**3 + 8*f - 20*f**2 - 4*f**4 = 0. What is f?
0, 1, 2
Determine y, given that -86/7*y - 10/7*y**3 - 82/7*y**2 + 6/7*y**4 - 20/7 = 0.
-2, -1, -1/3, 5
Let s be -2 - 8/(1 - 3). Let p = -12100/63 - -1346/7. Find g such that 4/9 - p*g**s + 2/9*g = 0.
-1, 2
Let d = -216 + 270. Let g be (-8)/6*(-27)/d. What is l in 0*l + g*l**2 + 0 = 0?
0
Let u be (-24)/20 + (-21)/(-5). Solve -22 - 6*g**2 + 24 - u*g**3 - 2 = 0 for g.
-2, 0
Let i(j) = -16*j**2 - 24*j - 232. Let c(x) = x**2 + 5*x - 2. Let r(v) = -14*c(v) - i(v). Factor r(s).
2*(s - 13)*(s - 10)
Let s(y) be the first derivative of y**6/42 + 9*y**5/35 + 5*y**4/28 - 25*y**3/21 - 3*y**2/7 + 16*y/7 - 316. Find q such that s(q) = 0.
-8, -2, -1, 1
Let x(b) be the second derivative of b**7/630 - b**6/135 - 13*b**5/30 - 4*b**4 - b**3/6 + b**2/2 - 6*b. Let z(g) be the second derivative of x(g). Factor z(l).
4*(l - 8)*(l + 3)**2/3
Let r(i) be the second derivative of -1/6*i**4 + 26*i + 0 - 4/3*i**3 + 0*i**2 + 1/60*i**6 + 1/10*i**5. Factor r(g).
g*(g - 2)*(g + 2)*(g + 4)/2
Factor 12424/3*m + 19294472/3 + 2/3*m**2.
2*(m + 3106)**2/3
Let i(k) = 5*k + 5. Let m(y) be the second derivative of 0 + 2*y + 2/3*y**3 + 3*y**2 - 1/12*y**4. Let l(q) = 6*i(q) - 5*m(q). Factor l(x).
5*x*(x + 2)
Let v be -10 - 74/(-24)*(2496/52 + -44). Factor 1/3*z**3 + 0 + 2*z - v*z**2.
z*(z - 6)*(z - 1)/3
Let a(x) be the first derivative of 7/12*x**4 - 6*x + 1/3*x**5 + 51 - 43/9*x**3 - 21/2*x**2. Solve a(o) = 0.
-3, -1, -2/5, 3
Suppose 14*c = 19*c + 250. Let f = c + 59. Factor -30 - f*x - 4*x + 18*x + 10*x**2 + 20*x - 5*x**3.
-5*(x - 3)*(x - 1)*(x + 2)
Suppose 27*c - 29*c = -15*u + 15, -4*c = -3*u - 51. Factor -22/7*q**u - 8/7*q**2 + 0 + 0*q.
-2*q**2*(11*q + 4)/7
Find c, given that 185*c**4 - 12*c - 20*c**3 - 124*c + 67 - 11 + 102*c**2 - 187*c**4 = 0.
-14, 1, 2
Suppose -7*x = -3*x. Let k = 2 + x. Factor 2*p - 3*p**3 + 1 + p**3 - 2 + 7 - 6*p**k.
-2*(p - 1)*(p + 1)*(p + 3)
Let c(x) be the third derivative of -5 + 0*x**3 + 0*x - 1/3*x**4 - 11*x**2 + 221/15*x**5. Factor c(o).
4*o*(221*o - 2)
Let l(o) be the third derivative of -1/30*o**5 + 11/6*o**4 + 0 + 0*o - 10*o**2 - 121/3*o**3. Find h, given that l(h) = 0.
11
Solve -22070*l**3 - 456*l + 462*l**2 - 21945*l**3 - 8 + 43899*l**3 = 0 for l.
-1/58, 2
Let a(g) be the second derivative of g**7/4620 + g**6/198 + g**5/55 - 6*g**4/11 - 59*g**3/3 + 117*g. Let o(d) be the second derivative of a(d). Factor o(x).
2*(x - 2)*(x + 6)**2/11
Find f such that -946*f**3 - 3160*f**2 - 1655*f - 210 - 951*f**3 + 2297*f**3 = 0.
-1/4, 42/5
Let y(m) be the third derivative of -m**8/3360 + m**7/240 + m**6/90 - 20*m**3/3 + 90*m**2. Let n(l) be the first derivative of y(l). Factor n(p).
-p**2*(p - 8)*(p + 1)/2
Let u(m) = 35*m + 535. Let d be u(0). Let o = d + -531. Solve 2/11*w**3 + 2/11*w**2 - 1/11 - 1/11*w**o - 1/11*w - 1/11*w**5 = 0 for w.
-1, 1
Let k(a) be the first derivative of 2*a**2 - 1/5*a**5 - a**4 - 94 + 2*a**3 - 5*a. Factor k(u).
-(u - 1)**2*(u + 1)*(u + 5)
Factor -65/3*u + 14 - 1/3*u**3 + 8*u**2.
-(u - 21)*(u - 2)*(u - 1)/3
Let q(h) = 6*h - 3 - 6 + 3*h**2 - 14*h**2. Let p(c) = -2*c**2 + c. Let s(z) = 6*p(z) - q(z). Solve s(m) = 0.
-3, 3
Factor -7/5*x**2 + 6*x - 8/5.
-(x - 4)*(7*x - 2)/5
Let f(l) = 2*l**3 + 21*l**2 + 2412*l + 24025. Let q be f(-10). Factor 48/5*w**3 - 4*w**4 - 44/5*w**2 + 2/5*w**q + 14/5*w + 0.
2*w*(w - 7)*(w - 1)**3/5
Let a be 8 + 8 + (-2781)/693. Let f = 135/11 - a. Factor -4/7*s**3 + 0*s + 6/7*s**4 + 0 + 0*s**2 - f*s**5.
-2*s**3*(s - 2)*(s 