 + 16*r - 5. Let w = 45 + -62. Let p be k(w). Suppose -1/3*f**4 - 9 - p*f**2 + 18*f + 10/3*f**3 = 0. Calculate f.
1, 3
Factor 51/4*z - z**3 - 21/4*z**2 + 7/2.
-(z - 2)*(z + 7)*(4*z + 1)/4
Let t(f) be the third derivative of -f**8/84 + 8*f**7/105 - f**6/6 + 2*f**5/15 + f**2 - 262*f. Solve t(k) = 0.
0, 1, 2
Let q(u) = 16*u - 18. Let k be q(4). Determine s so that 10*s**3 - 2*s**2 + 86*s**4 - 48*s**4 - k*s**4 = 0.
0, 1/4, 1
Let n(v) = 15*v**2 - 25*v - 23. Let m(u) = 3*u**2 - 5*u - 4. Let g(d) = -22*m(d) + 4*n(d). Factor g(r).
-2*(r - 1)*(3*r - 2)
Let c(z) be the first derivative of 5*z**9/3024 - z**8/168 - z**7/168 + z**6/36 + 16*z**3/3 - 12. Let p(i) be the third derivative of c(i). Factor p(l).
5*l**2*(l - 2)*(l - 1)*(l + 1)
Let y be ((-304)/(-380))/((-1)/5*-2). Determine o, given that -12/5*o - 24/5*o**y + 24/5*o**4 + 0 - 63/5*o**5 + 15*o**3 = 0.
-1, -2/7, 0, 2/3, 1
Let d(s) = -s + 12. Let j be d(8). Determine o so that -8*o**3 - 4*o**2 - o**4 + 0*o**2 - 3*o**j = 0.
-1, 0
Suppose 3*b = -43*s + 42*s + 14, 4*s - b = 4. Factor 8/7*o + 3/7*o**4 - 2/7*o**3 - 12/7*o**s + 0.
o*(o - 2)*(o + 2)*(3*o - 2)/7
Let q be (2/4)/(13/(-312)). Let a(v) = -8*v**2 - 101*v - 283. Let c(f) = -20*f**2 - 252*f - 708. Let z(g) = q*a(g) + 5*c(g). Determine k so that z(k) = 0.
-6
Find p such that -108*p + 0 - 3/2*p**5 + 57/2*p**3 + 9*p**2 + 0*p**4 = 0.
-3, 0, 2, 4
Let 1/6*h**5 - 79/6*h**2 + 5/2*h**4 + 32/3 + 47/6*h**3 - 8*h = 0. What is h?
-8, -1, 1
Let b(z) be the first derivative of 1/96*z**4 + 6 - 9*z + 0*z**2 - 1/48*z**3. Let w(n) be the first derivative of b(n). Factor w(d).
d*(d - 1)/8
Let l be (261/(-36))/(1/(-4)). Let z = l + -27. Let -13/6*t**2 - 2/3 - 1/6*t**4 + t**3 + z*t = 0. Calculate t.
1, 2
Let v(c) = -2883*c**4 - 3053*c**3 - 817*c**2 + 7*c - 7. Let l(j) = -1441*j**4 - 1526*j**3 - 409*j**2 + 4*j - 4. Let b(m) = -7*l(m) + 4*v(m). Factor b(g).
-5*g**2*(17*g + 9)**2
Let w be (-4)/40*(34 + -64). Factor 8/3*o - 8/3 + 2/3*o**2 - 2/3*o**w.
-2*(o - 2)*(o - 1)*(o + 2)/3
Factor 360 + 36*f - 32*f + 3*f**2 - 6*f**2 + 8*f**2 - 139*f.
5*(f - 24)*(f - 3)
Let u(m) be the third derivative of -50*m**3 + 5/2*m**4 - 1/20*m**5 + 0*m - 4*m**2 + 0. Determine p so that u(p) = 0.
10
Let 119*j**2 + 85*j**4 - 79*j**4 + j**5 + 98*j + 9*j**3 - 17*j**4 = 0. What is j?
-2, -1, 0, 7
Suppose 0 = 14*y - 7*y - 14. Let h be (1 - y) + -1 + 4. Factor 8/11*n**h - 10/11*n - 2/11*n**3 + 4/11.
-2*(n - 2)*(n - 1)**2/11
Let m be 2/5 + 64/(-10). Let t = m - -10. Factor -3*k**2 + 0*k**4 + 2*k**2 - k + k**t + k**3.
k*(k - 1)*(k + 1)**2
Let d(o) be the third derivative of 5*o**8/84 - 41*o**7/105 + 41*o**6/60 + 23*o**5/30 - 17*o**4/4 + 6*o**3 + 3*o**2 + 64. Find c such that d(c) = 0.
-1, 3/5, 1, 3/2, 2
Suppose -3*h = 0, 3*h + h - 105 = 5*f. Let s be 3/(-2) - (-1 - f/(-10)). Factor 2*d - 2/5 - s*d**2.
-2*(d - 1)*(4*d - 1)/5
Let h be (1/3*-1)/(5/(-135)). Let -26 - 2*a**3 - 14*a + 20 - h*a**2 - a**2 = 0. Calculate a.
-3, -1
Let v(j) = j**2 + 1. Let f(k) = -8*k**2 - 20*k + 2. Let g(a) = -f(a) - 5*v(a). Factor g(q).
(q + 7)*(3*q - 1)
Determine y so that 4*y**3 - 206*y - 4*y**2 + 109*y + 89*y = 0.
-1, 0, 2
Let f(n) = 2*n**2 + n + 2. Let g be f(0). Factor 7*w**2 - 2*w**3 - 3*w**g + 8*w + 2*w**2.
-2*w*(w - 4)*(w + 1)
Let f(x) be the first derivative of 4/7*x**2 + 8/35*x**5 - 3/7*x**4 + 0*x - 30 - 4/7*x**3. Let f(c) = 0. Calculate c.
-1, 0, 1/2, 2
Let g = 7 - -1. Solve 0*q**4 - 7*q**3 + 5*q**4 + g*q**3 - 16*q**3 = 0.
0, 3
Let f be 3 - (-57)/(-21) - (-4)/14. Factor f*d**2 - 2/7*d**5 - 2/7 - 2/7*d**4 - 2/7*d + 4/7*d**3.
-2*(d - 1)**2*(d + 1)**3/7
Let v be 157/(-3) + (-3)/(-9). Let t = v - -55. Find s such that -10/3*s**t + 2/3 - 10/3*s**4 + 5/3*s - s**5 + 0*s**2 = 0.
-1, 2/3
Factor 12*j - 225/7 - 3/7*j**2.
-3*(j - 25)*(j - 3)/7
Let c(b) be the first derivative of b**6/30 - 7*b**5/25 + b**4/4 + 7*b**3/15 - 3*b**2/5 - 289. What is v in c(v) = 0?
-1, 0, 1, 6
Let o(g) be the third derivative of 0*g + 0 + 1/10*g**4 + 1/100*g**5 + 2/5*g**3 - 10*g**2. Factor o(c).
3*(c + 2)**2/5
Suppose 5*w = -0*w + 15. Determine g so that -w*g**2 - 9 - 2 - 1 + 15 = 0.
-1, 1
Let q = 315 - 18899/60. Let u(p) be the second derivative of 0 - 1/18*p**3 + q*p**5 + 1/6*p**2 + 4*p - 1/36*p**4. Factor u(g).
(g - 1)**2*(g + 1)/3
Let p(n) be the second derivative of -n**5/10 + n**4/6 - n**3/9 - 11*n**2/2 + 9*n. Let c(r) be the first derivative of p(r). Factor c(v).
-2*(3*v - 1)**2/3
Let t(k) be the first derivative of -11 - 38/3*k**2 - 361/12*k**4 - 8/3*k - 254/9*k**3 - 224/15*k**5 - 49/18*k**6. Suppose t(c) = 0. What is c?
-2, -1, -2/7
Suppose -55 = -9*o - 10. Suppose o*j - 3 = v - 0, 2*v = j + 3. Factor -3/8*n**v - 27/8 - 9/4*n.
-3*(n + 3)**2/8
Let q be 6/((-4)/(-12)*6). Factor -3*s + 3*s + 56 - q*s**2 - 53.
-3*(s - 1)*(s + 1)
Suppose 8*n = 26 + 6. Factor n*d**3 - 18*d**2 + 27*d**2 - 2*d**4 - 11*d**2.
-2*d**2*(d - 1)**2
Let d(r) be the second derivative of -r**5/40 + r**4/12 + 8*r**3/3 - 24*r**2 + 11*r - 1. Factor d(y).
-(y - 4)**2*(y + 6)/2
Let w(j) be the second derivative of 0*j**2 + 1/15*j**5 - 1/45*j**6 - 9*j + 0 - 2/9*j**3 + 1/18*j**4. Determine r so that w(r) = 0.
-1, 0, 1, 2
Let w be (-11)/(-6) + -2 + 6/9. Suppose 3/4*u**2 + 0 - w*u = 0. Calculate u.
0, 2/3
Let t = 46 + 42. Suppose -4*o = 6*j - 5*j + 6, -5*j = 5*o. Find g, given that 0*g**3 - 4*g**j + g**2 + t*g**5 + 3*g**4 + g**3 - 87*g**5 - 2*g = 0.
-2, -1, 0, 1
Let v(p) = 2*p**2 + 3. Let s(g) = 9*g**2 + 32*g + 99. Let h(a) = -s(a) + 4*v(a). Factor h(k).
-(k + 3)*(k + 29)
Suppose 9 = 3*n + b, 6 = 2*n - 4*b - 0. Let w = 11 - 6. Factor 2*r**3 + 24*r**w - n*r - 25*r**5 + 2*r.
-r*(r - 1)**2*(r + 1)**2
Let c be 4/26 - (-11)/((-3146)/(-385)). Factor 3/2*o**4 - 3*o**3 + c*o**2 + 0*o + 0.
3*o**2*(o - 1)**2/2
Let m(c) be the second derivative of 39*c + 1/12*c**3 + 0 + 0*c**2 + 1/48*c**4. Determine b so that m(b) = 0.
-2, 0
Find h such that 2*h**4 - 16 + 5/4*h**5 - 4*h**2 + 44*h - 16*h**3 = 0.
-4, -2, 2/5, 2
Suppose 4*m - 21 = 47. Let u = m + -15. Factor k - k**3 - 8*k**2 - 1 + 3*k**2 + 4*k**u + 2*k**2.
-(k - 1)**2*(k + 1)
Let c be 170/(-1) + 14/(4 - -3). Let h be 17/6 - (-140)/c. Factor -4/9*y**3 + 2/9*y**4 + 2/9*y**5 + 2/9 + 2/9*y - 4/9*y**h.
2*(y - 1)**2*(y + 1)**3/9
Let i = 174 + -99. Let v be i/(-10)*(-4)/10. Factor -3/4*z**v - 1/4*z**4 - 1/4*z - 3/4*z**2 + 0.
-z*(z + 1)**3/4
Let i(q) be the second derivative of q**4/20 - q**3/10 - 18*q**2/5 + q - 7. Determine w, given that i(w) = 0.
-3, 4
Let t(v) be the first derivative of 5*v**8/336 - v**7/42 + 9*v**2/2 - 5. Let q(i) be the second derivative of t(i). Find d such that q(d) = 0.
0, 1
Suppose 4 = 4*b, 5*v + 164*b + 5 = 169*b. Let y be (((-4)/2)/(-1))/4. Factor y*q**5 + q**4 + v - q**2 + 0*q**3 - 1/2*q.
q*(q - 1)*(q + 1)**3/2
Let f(s) = -s. Suppose -4 = 2*p - 0. Let j be f(p). What is v in 0*v**2 - 2*v**2 - 34*v - j*v**3 + 2 + 36*v = 0?
-1, 1
Let c be 31 + (-5 - (-18)/2). Let h = c - 33. Factor -4/7 - 8/7*r**h - 2/7*r**3 - 10/7*r.
-2*(r + 1)**2*(r + 2)/7
Factor 2/3*h**3 + 0 + 22/3*h - 8*h**2.
2*h*(h - 11)*(h - 1)/3
Let n = 168 + -166. Suppose -166*k**3 - 7*k + 36*k**3 - 135*k**n - 35*k**4 + 20 + k - 14*k = 0. Calculate k.
-2, -1, 2/7
Let k(u) be the third derivative of -u**6/45 - u**5/30 + u**4/2 - 7*u**3/3 + 7*u**2. Let v(z) be the first derivative of k(z). Let v(m) = 0. What is m?
-3/2, 1
Let v(c) be the second derivative of -c**5/8 + c**4 + 5*c**3/12 - 82*c. Factor v(g).
-g*(g - 5)*(5*g + 1)/2
Let q(a) be the second derivative of a**7/168 + a**6/60 - 7*a**5/80 + a**4/12 + 114*a - 1. Determine x, given that q(x) = 0.
-4, 0, 1
Let f = 18 - 4. Let l = f + -12. Determine q so that q**2 + q**2 - 6*q + 4*q + 4*q**l - 4 = 0.
-2/3, 1
Determine x, given that 9 + 61 + x**2 - 28*x + x**2 - 34*x + 46 = 0.
2, 29
Factor 18*c**2 - 20*c**2 - 7651 + 7*c**2 - 669*c + 29*c + 28131.
5*(c - 64)**2
Find z, given that 2/7*z**3 - 12/7 + 12/7*z**2 - 2/7*z = 0.
-6, -1, 1
Let m(v) = -v**2 - 8*v + 10. Let x be m(-5). Let f = 27 - x. Find n, given that 0 - 2/11*n**3 - 2/11*n**f + 0*n = 0.
-1, 0
Let i(h) = -h - 1. Let l(a) = a**2 + 35*a + 3. Let x(j) = -3*i(j) - l(j). Let s be x(-32). Factor 1/2*o + s + 1/2*o**2 - 1/2*o**4 - 1/2*o**3.
-o*(o - 1)*(o + 1)**2/2
Let s(y) be the second derivative of 0*y**3 + 0 + 0*y**2 + 1/20*y**5 + 0*y**4 - 1/15*y**6 + 1/42*y**7 + 7*y