 = -2*f**2 - 62*f + 56. Let h(u) = -g(u) - 4*l(u). Find a such that h(a) = 0.
1, 34
Factor 3*u**4 + 112*u**2 - 385*u**2 - 34*u**3 - 65 - 295 + 82*u**3 - 678*u.
3*(u - 6)*(u + 1)**2*(u + 20)
Let n(w) be the second derivative of -7*w**5/40 - 23*w**4/12 - 59*w**3/12 - 5*w**2 - 3446*w. What is b in n(b) = 0?
-5, -1, -4/7
Let l(q) be the third derivative of 0*q**3 + 28*q**2 - 1/12*q**4 + 1/5*q**5 - 1 + 0*q - 3/20*q**6. Suppose l(g) = 0. What is g?
0, 1/3
Let g be (-3 - (-92)/20)*(-20)/(-4). Suppose 2*f = -2*p, -4*f + g*f + 3*p - 2 = 0. Factor 36*d**f - 70*d**2 + 0*d**3 - 14*d - 18*d**3 + 2.
-2*(d + 1)**2*(9*d - 1)
Let r(m) be the second derivative of -1/2*m**4 - 68*m - 4*m**2 + 0 - 20/9*m**3 - 1/30*m**5. Factor r(u).
-2*(u + 1)*(u + 2)*(u + 6)/3
Determine n so that 315/4 + 81/2*n**2 + 18*n**3 - 138*n + 3/4*n**4 = 0.
-21, -5, 1
Let g(h) be the third derivative of h**7/105 + 11*h**6/60 - 14*h**5/15 - 53*h**4/3 - 80*h**3 - 389*h**2. Determine s so that g(s) = 0.
-12, -2, 5
Let s(d) be the third derivative of d**8/672 - 307*d**7/420 - 103*d**6/40 - d**5/60 + 617*d**4/48 + 103*d**3/4 + 2619*d**2 + d. Factor s(v).
(v - 309)*(v - 1)*(v + 1)**3/2
Factor g**4 + 20/3*g + 1/3*g**2 - 16/3*g**3 + 0.
g*(g - 5)*(g + 1)*(3*g - 4)/3
Factor 3*o + 77/6 + 1/6*o**2.
(o + 7)*(o + 11)/6
What is t in -55 - 6*t**2 + 25*t + 61*t**2 - 372*t**3 + 735*t**3 - 388*t**3 = 0?
-1, 1, 11/5
Let l(q) be the first derivative of -500000/7*q + 32 - 15000/7*q**2 - 1/7*q**4 - 200/7*q**3. Find p, given that l(p) = 0.
-50
Let a = -10478 + 52404/5. Suppose a*m**2 + 0 + 4/5*m = 0. What is m?
-2/7, 0
Suppose -124*w + 224*w + 151*w - 1392 = -213*w. Determine y so that -5193/2*y**w + 4 + 4050*y**4 + 699*y**2 - 86*y - 1458*y**5 = 0.
1/6, 2/9, 2
Factor -84*o**2 - 72*o - 145*o**2 + 39*o**4 + 162*o**3 - 215*o**2.
3*o*(o - 2)*(o + 6)*(13*o + 2)
Suppose 14*b - 30 = 4*b. Factor -2*q - 4*q**b + 241*q**2 - q**4 + 3*q - 124*q**2 - 3*q - 122*q**2.
-q*(q + 1)**2*(q + 2)
Factor 24/7*g**2 + 2/7*g**3 + 0 + 64/7*g.
2*g*(g + 4)*(g + 8)/7
Suppose -30*n**3 - 606/7*n + 201/7 + 3/7*n**4 + 612/7*n**2 = 0. Calculate n.
1, 67
Let b be 5/5*(8 - (11 + -6)). Let o(s) be the first derivative of 1/5*s**4 - 8/5*s**2 + 27 + 4/15*s**b - 16/5*s. Determine w, given that o(w) = 0.
-2, -1, 2
Let u(l) = l**3 - 51*l**2 + 43*l - 2187. Let o be u(51). Determine s, given that 0 + 0*s + o*s**3 + 57/4*s**4 - 3*s**2 + 21/4*s**5 = 0.
-2, -1, 0, 2/7
Let a(n) be the third derivative of 11*n**5/40 - 67*n**4/4 - 7*n**2 + 135. Factor a(k).
3*k*(11*k - 268)/2
Factor 470*d**2 - 22079*d**2 - d**4 - 294*d**3 + 891651 - 891651.
-d**2*(d + 147)**2
Let k(z) be the second derivative of -z**5/30 + z**4/4 + 10*z**3/3 - 105*z**2/2 + 108*z. Let s(n) be the first derivative of k(n). Factor s(b).
-2*(b - 5)*(b + 2)
Let a(o) be the third derivative of 45*o**6/32 + 77*o**5/16 + 23*o**4/4 + 2*o**3 + 695*o**2. Factor a(m).
3*(5*m + 4)**2*(9*m + 1)/4
Let g = 132867 + -132863. Factor -5/4*p**5 - 1/4*p**3 + 3/2*p**g + 0 + 0*p + 0*p**2.
-p**3*(p - 1)*(5*p - 1)/4
Let p(d) be the third derivative of 0*d**3 + 1/90*d**5 + 184*d**2 + 0*d - 1/6*d**4 + 0 + 1/45*d**6 + 1/315*d**7. Find w such that p(w) = 0.
-3, -2, 0, 1
Let i be 678/(-21357)*(-114)/4. Let g(p) be the first derivative of -2/7*p - 28 - 5/14*p**4 - 11/14*p**2 - i*p**3. Factor g(l).
-(l + 1)*(2*l + 1)*(5*l + 2)/7
Let z(f) = 4*f**3 - 614*f**2 + 630*f - 5. Let t(h) = 5*h**3 - 922*h**2 + 945*h - 7. Let b(m) = 5*t(m) - 7*z(m). Find w, given that b(w) = 0.
-105, 0, 1
Let y(k) be the second derivative of k**4/90 + 101*k**3/15 + 302*k**2/15 - 3*k - 27. Determine u, given that y(u) = 0.
-302, -1
Let s(x) = -8*x**2 - 1531*x - 118577. Let j(m) = -55*m**2 - 10720*m - 830040. Let i(n) = 3*j(n) - 20*s(n). Factor i(z).
-5*(z + 154)**2
Let b(w) = -72*w**2 + 7*w - 6. Let j be b(1). Let f = j - -74. Solve y**3 - 1 - 20*y + 2*y**2 + 3*y**f - 11 - 6*y**2 = 0 for y.
-1, 3
Let i(q) = -22*q**3 - 1900*q**2 - 149800*q - 292024. Let t(u) = 8*u**3 + 634*u**2 + 49935*u + 97341. Let f(h) = 3*i(h) + 8*t(h). Factor f(r).
-2*(r + 2)*(r + 156)**2
Suppose 4*n - 5*n = 2*i - 5, -3*i = -2*n - 25. Suppose 3*u + 3*o = 3, 0*u - o + i = 3*u. Factor -j**3 - u + 1/2*j**4 - 3/2*j**2 + 4*j.
(j - 2)*(j - 1)**2*(j + 2)/2
Let h = 129551/4 - 32387. Determine n so that -h*n**3 + 0 + 0*n**2 + 3/4*n = 0.
-1, 0, 1
Let x(y) = -y**3 + 4*y**2 + 7*y - 12. Let z be x(5). Let n be ((-1 - z) + 2 - 3) + 3. Suppose -10*m + 6*m**2 - 2*m**n - 3 - 2*m**4 + 4*m**3 + 7 = 0. What is m?
-2, 1
Let j(k) be the third derivative of -k**6/30 - 23*k**5/15 + k**4/6 + 46*k**3/3 - 1644*k**2. Factor j(s).
-4*(s - 1)*(s + 1)*(s + 23)
Let u(y) = -3*y**3 + 2*y**2 - 2*y - 2. Let w(h) = -13*h**3 - 1739*h**2 - 763883*h - 762137. Let p(j) = -4*u(j) + w(j). Factor p(c).
-(c + 1)*(c + 873)**2
Let c(s) be the second derivative of -s**4/3 + 554*s**3/3 - 552*s**2 + 3566*s. Factor c(k).
-4*(k - 276)*(k - 1)
Suppose 16*t = 23*t - 21. Find p, given that 0*p - 7*p + 0*p**t - 6*p**3 + 2*p**4 + 6*p**2 + 5*p = 0.
0, 1
Let l(w) be the second derivative of -w**5/60 + w**4/3 - 7*w**3/6 - 49*w**2/3 - 4*w - 12. Factor l(k).
-(k - 7)**2*(k + 2)/3
Let v be 5 + (2/6)/(6/(-90)). Let t(k) be the third derivative of 0*k**3 + 1/1470*k**7 - 5/84*k**5 + v*k - 47*k**2 - 13/168*k**4 - 11/840*k**6 + 0. Factor t(r).
r*(r - 13)*(r + 1)**2/7
Suppose -5*f = 4*w + 77, -2*w - f - 81 = 4*f. What is s in -152/3*s - 10/3*s**3 + 16 + 139/3*s**w - 25/3*s**4 = 0?
-3, 4/5, 1
Let k be ((-60)/12 - -8)*(-28)/(-21). Solve 8/3 + k*n**2 + 28/3*n = 0 for n.
-2, -1/3
Suppose 13*d = -12*d + 125. Suppose -z + v = -2*v - 15, 0 = -v - d. Factor z - 2/7*b**3 + 12/7*b**2 + 0*b.
-2*b**2*(b - 6)/7
Let j be (-4968)/(-96)*(12/(-42))/((-36)/7). Solve -5/2*a**3 + 0 + 1/2*a**4 - j*a**2 - 3/4*a = 0.
-1/2, 0, 6
Solve -60*l**3 + 40*l**4 + 320*l**2 + 5*l**5 + 90 + 71*l - 16*l + 242*l**2 - 692*l**2 = 0 for l.
-9, -1, 1, 2
Suppose -2*f - 46 + 52 = 0. Let z be f - (3 - 9 - -5)*0. What is h in 2/9*h**2 + 2/9*h**z - 2/9*h - 2/9 = 0?
-1, 1
Let q(j) = -11*j**2 - 14606*j + 10658000. Let n(l) = 41*l**2 + 43821*l - 31974000. Let t(a) = -2*n(a) - 7*q(a). Find b, given that t(b) = 0.
1460
Let n = 23247/2 + -11621. Determine f, given that -f + 3/2*f**3 + n*f**2 - 4*f**4 - 2*f**5 + 0 = 0.
-2, -1, 0, 1/2
Suppose -4*k = 2*n, -n + 3*k = -2*n - 4. Determine f so that 8*f**2 - n*f**2 + 3*f**4 + 12*f**3 = 0.
-4, 0
Let l(y) = 2*y**2 + 4*y + 10. Let q be l(3). Find b, given that 30*b**3 + q + 267 + 298 - 1100*b + 390*b**2 + 5*b**4 + 70*b**3 = 0.
-11, 1
Let k(a) = 7*a**2 + 492*a + 59043. Let o(s) = -2*s**2 - 2*s + 2. Let w(q) = 5*k(q) + 15*o(q). Factor w(y).
5*(y + 243)**2
Let t be 23232/924*49/70. Solve -96/5*l**2 + 6*l**3 - 2/5*l**4 + 0 + t*l = 0 for l.
0, 2, 11
Let m be (-2)/32 + (-19 - -29) + 9476/(-960). Let i(n) be the second derivative of -25*n + 0*n**2 + 0 + 1/100*n**5 + m*n**3 - 1/20*n**4. Factor i(g).
g*(g - 2)*(g - 1)/5
Factor 8/3*b**2 - 36 + 1/3*b**3 - 7*b.
(b - 4)*(b + 3)*(b + 9)/3
Find p, given that -955*p**2 - 784*p**3 + 960 + 294*p**3 + 941*p - 5*p**4 - 451*p = 0.
-96, -2, -1, 1
Let f(j) = j**2 - 1165*j - 114. Let c(r) = -r + 19. Let u(v) = -6*c(v) - f(v). Factor u(l).
-l*(l - 1171)
Let n be 11/((-704)/(-8))*1/5. Let c(p) be the second derivative of 0*p**4 - 1/20*p**6 + 0*p**3 + 0*p**2 + 0 + n*p**5 + 5*p. Find r, given that c(r) = 0.
0, 1/3
Suppose d + 17 = -5*a, -2 - 11 = d + 4*a. Find l such that -24*l**2 - 28*l + 185*l**4 - 5*l**2 - 32*l + 5*l**d - 131*l**2 + 30*l**5 = 0.
-6, -2/3, -1/2, 0, 1
Let p = -8 - -17. Suppose -52 = -p*k + 29. Solve -k + u**3 - 8*u**2 + 15*u + u**2 + 0*u = 0.
1, 3
Factor 12*u**2 - 12 - 4/3*u**3 + 4/3*u.
-4*(u - 9)*(u - 1)*(u + 1)/3
Suppose 13*u - 9*u - 8 = 4*w, u + 1 = 2*w. Suppose 2*f = -2*o, w*f + 2*o = -2*f. Find l, given that f + 1/3*l + 1/3*l**2 = 0.
-1, 0
Let i = 10314/34405 + 3/13762. Let c(q) be the first derivative of 31 - 15/8*q**4 - i*q**5 + 0*q**2 - 3*q**3 + 0*q. Factor c(p).
-3*p**2*(p + 2)*(p + 3)/2
Factor -313*d**2 + 2/3 - 937/3*d.
-(d + 1)*(939*d - 2)/3
Let j be (-78754)/55 + 369/205. Let q = -1429 - j. Suppose -q - 20/11*p**3 + 42/11*p**2 - 10/11*p = 0. What is p?
-2/5, 1, 3/2
Let q be 8/(-48)*6*1825/4. Let p = 457 + q. Factor 9/4*y + p*y**3 + 9/4*y**2 + 3/4.
3*(y + 1)**3/4
Factor -4 + 304*v**2 + 34 - 110*v**2 + 12*v**