k(q) be the first derivative of q**4/12 + 65*q**3 + 14308*q**2 + 85264*q/3 + 745. Factor k(j).
(j + 1)*(j + 292)**2/3
Let z = -860 - -291. Let b = z + 571. Suppose -2*h**4 + 0 + b*h - 3/2*h**3 - 1/2*h**5 + 2*h**2 = 0. What is h?
-2, -1, 0, 1
Let z = -108 - -116. Suppose z*u - u - 28 = 0. Let 9*l**4 - 18*l**4 + 20*l**3 + 5*l**u + 16*l - 32*l**2 = 0. What is l?
0, 1, 2
Let z = -847 - -839. Let q be (z - 1 - -15) + 64/(-11). Suppose -q + 2/11*o + 2/11*o**2 - 2/11*o**3 = 0. What is o?
-1, 1
Let t be ((-63)/28)/(10/4)*759/(-621). Solve t*c + 1/10*c**2 + 9/5 = 0 for c.
-9, -2
Let x(j) = 5*j**2 + 53*j + 86. Let c(p) be the first derivative of -5*p**3/3 - 27*p**2 - 88*p - 38. Let a(s) = -3*c(s) - 4*x(s). Factor a(f).
-5*(f + 2)*(f + 8)
Let r(x) be the second derivative of -x**5/15 + 2*x**4/9 + 16*x**3/9 + 75*x - 7. Factor r(u).
-4*u*(u - 4)*(u + 2)/3
Let n be 24/(-60) - 116/10. Let j be n/(-2)*12/18. Let j - 1/2*v**2 - 7/2*v = 0. What is v?
-8, 1
Let x = 31/112 + 1/112. Let a be ((-8)/((-102)/(-42) + (-40)/28))/(-2). Factor 4/7*i**2 + 2/7*i**3 + 0*i - x*i**a + 0.
-2*i**2*(i - 2)*(i + 1)/7
Let m(f) = -2*f**2 + 6*f - 5. Let g(q) = q**2 - 3*q + 2. Let b = -4 + 6. Suppose -6*u = -5*u + b. Let s(o) = u*m(o) - 5*g(o). Suppose s(x) = 0. Calculate x.
0, 3
Let p(w) = 27*w - 373. Let v be p(14). Suppose v*r - 2*j + 6 + 2 = 0, 2*j = 8. Let 0*f + 4/7*f**2 - 6/7*f**3 + r = 0. Calculate f.
0, 2/3
Let m(w) = w**2 - 3*w + 7. Let l be m(-8). Let b = 97 - l. Determine c so that -10*c**3 - 24*c**2 + 10*c**3 - 13*c - b - 6*c**3 - 3*c**3 = 0.
-2, -1/3
Suppose -2*s + 1 = -9. Suppose 2*n = s*n + 15, -3*v + n = -17. Find f, given that -36*f**2 - v*f - 32*f**3 + 4 - 12*f**3 - 14*f**4 - 2*f**4 = 0.
-1, 1/4
Let g(q) be the first derivative of q**5/25 + 3*q**4/20 + 2*q**3/15 - 713. Solve g(t) = 0.
-2, -1, 0
Let u(i) be the first derivative of -7*i**4/2 + 298*i**3/21 - 104*i**2/7 + 8*i/7 + 3181. Solve u(t) = 0 for t.
2/49, 1, 2
Let f be 20/12*(-9)/(-670). Let o = 259/402 + f. Find u, given that -1/3*u**2 + 0 - o*u = 0.
-2, 0
Let c(a) be the third derivative of a**6/40 - a**5/4 - a**4/8 + 5*a**3/2 - 234*a**2 - 1. Let c(n) = 0. Calculate n.
-1, 1, 5
Let u be (-11)/11 + ((-1010)/6 - 2). Let n = 1550/9 + u. Suppose -n + 2/9*d**2 + 0*d = 0. What is d?
-2, 2
Find z, given that -87*z**5 + 63*z**3 + 47*z**4 + 53*z**5 + 31*z**5 + 13*z**4 = 0.
-1, 0, 21
Let i(j) be the third derivative of 27/16*j**4 - 2*j - 13/40*j**5 - 74*j**2 - 41/12*j**3 + 0 - 1/240*j**6. Suppose i(z) = 0. Calculate z.
-41, 1
Let b(f) be the third derivative of 3*f**6/40 - 67*f**5/10 + 87*f**4/8 + 22*f**3 - 284*f**2 - f. Factor b(a).
3*(a - 44)*(a - 1)*(3*a + 1)
Let m(a) = 95*a**3 - 12120*a**2 - 12185*a - 3035. Let n(y) = 16*y**3 - 2020*y**2 - 2031*y - 506. Let z(u) = -4*m(u) + 25*n(u). Determine p so that z(p) = 0.
-1/2, 102
Let m(y) = -y**3 - 4*y - 1. Let u(d) = -200*d**3 - 888*d**2 - 464*d - 53. Let c(a) = -5*m(a) + u(a). Let c(f) = 0. What is f?
-4, -2/5, -2/13
Factor -9/2*c**2 + 0 - 45/4*c - 1/4*c**3.
-c*(c + 3)*(c + 15)/4
Let o = -1115985 - -3347965/3. What is c in -1/3*c**3 - 5/6*c**4 + o*c**2 + 4*c - 1/6*c**5 + 0 = 0?
-3, -2, 0, 2
Let h be (-22)/(18/(-9)) - 5. Factor 6 + 7*d + 13*d - 2*d**2 - 3*d**3 - 4*d**3 + h*d**3 - 30.
-(d - 2)**2*(d + 6)
Suppose -121*r + 114*r - 42 = 0. Let g be ((-68)/r - 6)*(-3)/(-4). Factor 1/7*l**5 + 2/7*l**3 - 3/7*l**g + 0*l**2 + 0 + 0*l.
l**3*(l - 2)*(l - 1)/7
Let r be 14/(-6)*1836/(-2142). Determine s, given that 1/3*s**3 - 2/3*s**r + 2/3*s**4 - 1/3*s**5 + 0*s + 0 = 0.
-1, 0, 1, 2
Let l = 2981 - 2961. Let f(q) be the second derivative of -5/18*q**4 + 1/9*q**6 - l*q - 5/126*q**7 + 0 + 1/12*q**5 + 0*q**2 + 0*q**3. Solve f(x) = 0.
-1, 0, 1, 2
Let q(g) be the first derivative of -g**5/4 - 35*g**4/12 - 35*g**3/3 - 20*g**2 + 74*g - 31. Let l(y) be the first derivative of q(y). Factor l(r).
-5*(r + 1)*(r + 2)*(r + 4)
Let 16*h + 0 - 72*h**2 + 25/4*h**5 + 61*h**3 + 45*h**4 = 0. What is h?
-4, 0, 2/5
Suppose 3*q + 22 = -5. Let r be 2/q + (-148)/(-18). Determine h so that -h**3 + 3*h**4 - 7*h**3 + 121 - r*h - 5*h**4 - 12*h**2 - 123 = 0.
-1
Let q(z) be the third derivative of -2*z**7/105 + 19*z**6/120 + 29*z**5/60 + z**4/4 + 1713*z**2. Suppose q(d) = 0. Calculate d.
-1, -1/4, 0, 6
Let k(g) = 5*g**4 + 74*g**3 + 6*g**2 - 96*g - 11. Let f(v) = -2*v**4 - 24*v**3 - 2*v**2 + 32*v + 4. Let j(a) = -11*f(a) - 4*k(a). Factor j(c).
2*c*(c - 16)*(c - 1)*(c + 1)
Let m(n) = -2*n**4 - 2 - 752*n**3 + 1 + 749*n**3 - n. Let w(r) = -r**4 - r**3 + r**2 - r - 1. Let b(k) = 5*m(k) - 5*w(k). Suppose b(d) = 0. Calculate d.
-1, 0
Let p(n) be the second derivative of 3*n**6/5 + 3*n**5/5 + n**4/6 - 987*n. Factor p(x).
2*x**2*(3*x + 1)**2
Let h be (5 - 3460/700)/(1 + 9/(-10)). Let 0*a - 10/7*a**3 + h*a**2 + 0 - 2/7*a**5 + 8/7*a**4 = 0. Calculate a.
0, 1, 2
Let w(k) be the second derivative of -4*k + 0 + 3/160*k**5 - 1/16*k**4 + 1/16*k**3 + 0*k**2. Let w(t) = 0. Calculate t.
0, 1
Let q(u) = 2*u**2 - 3*u. Let v(j) = -j**3 - 35*j**2 - 119*j + 160. Let c(m) = 5*q(m) + v(m). Let c(x) = 0. Calculate x.
-16, -10, 1
Let r(o) be the second derivative of 2/15*o**3 - 4/5*o**2 - 1/25*o**5 + 2/15*o**4 + 14*o + 1. Suppose r(s) = 0. What is s?
-1, 1, 2
Let z(h) be the third derivative of -121*h**6/30 - 187*h**5/5 - 225*h**4/2 - 162*h**3 - 1669*h**2. Factor z(d).
-4*(d + 3)*(11*d + 9)**2
Let f(g) be the second derivative of -1/80*g**5 + 1/4*g**3 + 1/32*g**4 - 22*g + 0 + 19/2*g**2. Let i(r) be the first derivative of f(r). Factor i(x).
-3*(x - 2)*(x + 1)/4
Let a = 13966 - 13966. Let o(k) be the third derivative of 1/12*k**5 + 0 - 5/12*k**4 + a*k + 5/6*k**3 - 4*k**2. Determine p, given that o(p) = 0.
1
Determine j, given that -661/6*j**2 - 6 - 140*j - 15/2*j**5 + 107/2*j**3 + 133/6*j**4 = 0.
-2, -1, -2/45, 3
Find y such that 40/3*y + 0 - 5/3*y**2 - 40/3*y**3 + 5/3*y**4 = 0.
-1, 0, 1, 8
Suppose 4*s + 20 = z - 3, 2*s = z - 29. Let u = 395/11 - z. What is o in u*o**4 + 4/11*o**3 - 4/11*o - 10/11*o**2 + 0 = 0?
-1, -2/5, 0, 1
Let d(c) = -4*c**3 + 487*c**2 + 132*c - 600. Let k be d(122). Factor 240 + 250/9*z**4 + 2150/9*z**3 + k*z**2 + 648*z.
2*(z + 5)*(5*z + 6)**3/9
Let c(m) be the second derivative of -9*m - 1 + 0*m**2 + 2/9*m**3 + 1/18*m**4. Factor c(w).
2*w*(w + 2)/3
Let q(a) be the first derivative of -a**6/2 + 144*a**5/5 - 498*a**4 + 2112*a**3 - 2904*a**2 + 181. Factor q(i).
-3*i*(i - 22)**2*(i - 2)**2
Factor 206/13*n - 20/13 + 42/13*n**2.
2*(n + 5)*(21*n - 2)/13
Let h = -116 - -118. Suppose 29 - 2*c**2 - 31 - 5*c**h + 9*c**2 = 0. Calculate c.
-1, 1
Let m(z) = z**2 + 8*z + 45. Let a be m(-7). Let -u + u**2 + 84 - 46 - a = 0. What is u?
0, 1
Let -252/5 + 468/5*w**3 - 768/5*w + 531/5*w**2 + 21/5*w**4 = 0. What is w?
-21, -2, -2/7, 1
Let y(j) be the second derivative of -380/27*j**4 + 1/189*j**7 - 8/27*j**6 + 361/27*j**3 + 0 + 0*j**2 - 241*j + 73/15*j**5. Factor y(f).
2*f*(f - 19)**2*(f - 1)**2/9
Let o(h) be the third derivative of -h**6/1980 + h**5/66 - 25*h**4/132 + 109*h**3/6 + 2*h**2 - 24. Let u(c) be the first derivative of o(c). Factor u(d).
-2*(d - 5)**2/11
Suppose 6*c - 45/2*c**2 + 0 - 57/2*c**3 = 0. What is c?
-1, 0, 4/19
Let t = -78539 - -78539. Solve -1/5*m**2 - 1/5*m + t = 0.
-1, 0
Let a(g) be the second derivative of -2*g**6/15 + 16*g**5/5 - 23*g**4/3 - 632*g**3/3 - 792*g**2 + 41*g - 6. Let a(w) = 0. Calculate w.
-2, 9, 11
Let n(u) = -u**3 + 2*u**2 + 5*u - 4. Let b be n(3). Let k = -233 + 246. Suppose k*r**2 - 18*r - 17*r**b + 6*r = 0. What is r?
-3, 0
Let o be (-25)/(-10) - 1/2. Suppose -34 = -o*d - 28. Factor 3/8*x**d - 9/8*x**2 + 3/4*x + 0.
3*x*(x - 2)*(x - 1)/8
Let 3/2*k**2 - 65*k + 0 + 1/2*k**3 = 0. What is k?
-13, 0, 10
Let n = 6681 + -6678. Let i(v) be the third derivative of -1/6*v**4 + 11*v**2 + 1/90*v**5 + 0*v + 5/9*v**n + 0. Determine b, given that i(b) = 0.
1, 5
Let t(s) = -s**2 - 9*s - 8. Let f be t(-7). Let x be (84/(-70))/(f/(-20)). Solve x*r**2 - 7*r**2 + 119*r - 191*r - 432 = 0.
-12
Suppose -2*o - 161 = -t, -5*t - 3*o + 775 = 2*o. Let s be 628/t + ((-4)/7)/(-2). Factor 8/7*i**4 + s*i**2 - 26/7*i**3 - 2*i + 2/7.
2*(i - 1)**3*(4*i - 1)/7
Let n(o) = -o**3 + 8*o**2 + 17. Let r be n(7). Let l = 68 - r. Factor 4*y**l + y**2 - 5*y**4 + 5*y**3 - 4*y**2 + 9*y**2.
-5*y**2*(y - 2)*(y + 1)
Let m(f) be the second derivati