 that a(l) = 0.
-1, 2/13, 2/3
Let j(w) = 3*w**3 - 19*w**2 + 16*w. Let v(l) = -49*l**2 + 189*l - 8*l**2 + 21*l**3 - 75*l**2 - 78*l. Let d(c) = -27*j(c) + 4*v(c). Determine a so that d(a) = 0.
0, 1, 4
Let w be 7/(49/28) + -16. Let p(y) = y**3 - y**2 + y + 2. Let f(c) = -10*c**3 + 16*c**2 - 18*c - 24. Let d(j) = w*p(j) - f(j). Find n such that d(n) = 0.
-3, 0, 1
Let z(q) be the second derivative of q**8/43680 + q**7/5460 + q**6/2340 - q**4/6 - q**2 + 21*q + 2. Let w(a) be the third derivative of z(a). Factor w(u).
2*u*(u + 1)*(u + 2)/13
Let y(w) be the third derivative of 2*w**7/105 - 38*w**6/15 + 91*w**5 + 507*w**4 - 494*w**2. Factor y(i).
4*i*(i - 39)**2*(i + 2)
Suppose -44*u - 211 = 9. Let w be ((-5)/18)/(11/(44/u)). Factor 0*i - 8/9 + w*i**2.
2*(i - 2)*(i + 2)/9
Let g = 33938 - 33938. Let 4/5*r - 2/5*r**4 + g*r**2 + 2/5 - 4/5*r**3 = 0. What is r?
-1, 1
Let -88440 + 88440 - 69*h**4 - 135*h**3 - h**5 - 67*h**2 = 0. What is h?
-67, -1, 0
Suppose -2*g = 3*h + 18, 35*g + 41 = 38*g - 4*h. Factor -b - 1/5*b**g - 8/5*b**2 + 10.
-(b - 2)*(b + 5)**2/5
Suppose -819*m + 821*m + 7 = 3*i, -4*i + 6*m = -6. Find y, given that 12*y**2 + 192/5 - 204/5*y - 3/5*y**i = 0.
2, 16
Let r = 9797 + -9795. Let z(m) be the third derivative of 7*m**r - 17/288*m**4 - 1/8*m**3 + 1/1440*m**6 + 0*m - 7/720*m**5 + 0. Find h, given that z(h) = 0.
-1, 9
Let q = 99994 + -99992. Suppose -2/5*k**q + 8/5*k + 0 = 0. Calculate k.
0, 4
Let g(h) = 2*h**2 + 16*h + 5. Let l(y) = y**2 + y. Let v(p) = g(p) - 3*l(p). Let c be v(8). Factor c*r**4 + r**3 - 3*r**3 - 48*r**4.
-r**3*(3*r + 2)
Let x(m) be the first derivative of 8*m**3/3 + 34*m**2 - 210*m + 11. Let q(s) = -5*s**2 - 45*s + 140. Let c(z) = -7*q(z) - 5*x(z). Determine p so that c(p) = 0.
-7, 2
Suppose q = 2, 5*q = -0*t - 5*t + 1735. Let d = t - 345. Factor 8/5 - 2/5*b**2 + d*b.
-2*(b - 2)*(b + 2)/5
Factor 24*n - 5*n**3 + 6*n**2 + 11*n + 6*n**3 - 2*n - 20*n**2.
n*(n - 11)*(n - 3)
Let k = 108513/217006 + -5/108503. Factor -15/2*t - 9/2*t**2 - 7/2 - k*t**3.
-(t + 1)**2*(t + 7)/2
Let l be (37 - 38)*2*-53. Suppose 130 - l = 6*m. Solve 24*x + 62*x**2 - 32*x**m + 80/3*x**3 + 8/3 = 0 for x.
-2/3, -1/4, 2
Let p(q) = 5*q**2 - q - 3. Let o be p(2). Factor -25*s**3 - 1 + 3*s**4 - o*s**3 + s**5 - 2*s**2 + 42*s**3 - 3*s.
(s - 1)*(s + 1)**4
Let j = 13477 - 13441. Let s(i) be the first derivative of -j + 3/20*i**4 + 6/5*i**2 - 4/5*i**3 + 0*i. What is p in s(p) = 0?
0, 2
Find v such that 623*v + 553*v + 95*v**3 - 21*v**4 + 1365*v**2 + 76*v**3 - 3*v**5 = 0.
-7, -1, 0, 8
Let y be 1*(12/4 + 3). Let t(o) = 5*o**2 - 3*o**2 - 3*o**2 + 11 - 10*o + y*o**2. Let p(m) = -26*m**2 + 49*m - 56. Let u(n) = 2*p(n) + 11*t(n). Factor u(k).
3*(k - 3)*(k - 1)
Suppose -6267*s = -5948*s. Solve -34/5*g**3 - 8/5*g**2 + s - 8/5*g**4 + 0*g = 0.
-4, -1/4, 0
Let p be (270/(-80))/(-27) - (-4)/96. Factor 1/6*l**2 - p + 0*l.
(l - 1)*(l + 1)/6
Solve -230 + 28743*y - 2*y**2 + 870 - 29381*y = 0 for y.
-320, 1
Let s(z) be the first derivative of 2/9*z**3 - 16*z + 0*z**2 + 1/3*z**4 - 13. Let y(l) be the first derivative of s(l). Factor y(r).
4*r*(3*r + 1)/3
Let r be 15792/8084 + 20/430. Factor 3/2*q - 3/2*q**r + 9.
-3*(q - 3)*(q + 2)/2
Determine m, given that 0*m + 0 - 3*m**4 - 26/3*m**3 - 1/3*m**5 - 8*m**2 = 0.
-4, -3, -2, 0
Suppose -26*y = -23*y - 12. Factor 5*a**2 - a**5 - 37*a**y + 40*a**4 + a**3 - 8*a**2.
-a**2*(a - 3)*(a - 1)*(a + 1)
Let g be ((-1)/(-4)*8 - 31/(-3)) + 96 + -103. Let -2/9*c**5 + 4/3*c**2 - g - 56/9*c + 22/9*c**3 + 0*c**4 = 0. What is c?
-2, -1, 2, 3
Let q = -55570/3 - -277856/15. Solve 1/5 + 1/5*p**2 + q*p = 0.
-1
Suppose 213*o = 1032 + 33. Let g(x) be the second derivative of -1/4*x**o + 0*x**2 - 5/3*x**3 + x - 5/4*x**4 + 0. Factor g(n).
-5*n*(n + 1)*(n + 2)
Let i(r) be the first derivative of -112*r**5/15 + 1147*r**4/3 + 1616*r**3/3 + 168*r**2 + 164. Suppose i(t) = 0. Calculate t.
-3/4, -2/7, 0, 42
Factor 1081*x**2 - 6482*x - 5*x**3 - 250*x**2 + 7996*x - 336.
-(x - 168)*(x + 2)*(5*x - 1)
Let q = 736 + -734. Let n(b) be the second derivative of 1/12*b**6 + 3/8*b**4 + 0*b**q + 0 - 26*b + 1/6*b**3 + 3/10*b**5. Determine j, given that n(j) = 0.
-1, -2/5, 0
Let w(d) be the third derivative of -d**8/6720 - d**7/2520 + 11*d**5/12 - 24*d**2. Let h(x) be the third derivative of w(x). Solve h(i) = 0.
-2/3, 0
Let q(g) = g**4 + 92*g**3 + 130*g**2 + 24*g + 5. Let o(v) = -v**4 + 93*v**3 + 130*v**2 + 24*v + 4. Let t(m) = -5*o(m) + 4*q(m). Factor t(k).
k*(k - 12)*(k + 1)*(9*k + 2)
Let w = -5 - -17. Let p(h) = h**3 - 11*h**2 - 3*h - 35. Let a be p(w). Determine y so that -41*y - 40*y - 4*y**2 + a*y = 0.
-2, 0
Let p be -1 + 0 + -8 + -308 + 319. Let 1/3*f**p - 1 - 2/3*f = 0. What is f?
-1, 3
Let j(f) = f**3 + 15*f**2 + 42*f + 4. Let z be j(-4). Determine p, given that -1068*p + p**2 + 1058*p - 3*p**2 + z = 0.
-6, 1
Let p(l) be the third derivative of -l**5/120 + 195*l**4/16 - 19*l**2 - 8*l - 3. Determine y so that p(y) = 0.
0, 585
Let o(h) = 6*h**3 + 25*h**2 - 48*h - 12. Let x(k) = 2*k**3 + 13*k**2 - 24*k - 8. Let i(p) = -2*o(p) + 5*x(p). Suppose i(v) = 0. What is v?
-1/2, 4
Let w(k) = 13*k**4 + 14*k**3 - 48*k**2 - 170*k - 79. Let r(q) = -15*q**4 - 14*q**3 + 46*q**2 + 172*q + 78. Let u(m) = 6*r(m) + 7*w(m). Factor u(a).
(a - 5)*(a + 1)**2*(a + 17)
Let q(f) = -2*f**2 - f + 1. Let i be q(-1). Suppose -35*p + 48 = -23*p. Solve i*z + 0 + 3/5*z**2 + 1/5*z**p + 4/5*z**3 = 0.
-3, -1, 0
Let t = -331 + 325. Let a(o) = -11*o**2 + 5*o + 29. Let u(q) = -13*q**2 + 7*q + 30. Let i(g) = t*a(g) + 5*u(g). Factor i(j).
(j - 3)*(j + 8)
Let q(p) be the second derivative of 15*p - 1/21*p**4 + 1/70*p**5 + 0*p**3 + 0*p**2 + 3. Suppose q(d) = 0. What is d?
0, 2
Let x(s) be the first derivative of -2*s**3/3 + 23*s**2 + 348*s + 1665. What is v in x(v) = 0?
-6, 29
Let o(d) be the third derivative of -d**8/168 - d**7/20 - 41*d**6/240 - 37*d**5/120 - 5*d**4/16 - d**3/6 - 2392*d**2. Determine n, given that o(n) = 0.
-2, -1, -1/4
Determine s, given that -165/8*s**2 - 39 + 237/4*s + 3/8*s**3 = 0.
1, 2, 52
Let r(w) = -30934*w - 30932. Let f be r(-1). Factor -2/19*k**3 - 4/19*k**f + 12/19 + 10/19*k.
-2*(k - 2)*(k + 1)*(k + 3)/19
Let b(h) be the third derivative of 1/28*h**8 + 73*h**2 + 0*h + 0*h**6 + 2/3*h**5 - 4/21*h**7 + 0*h**3 + 0 - 1/2*h**4. Suppose b(d) = 0. Calculate d.
-1, 0, 1/3, 1, 3
Let x(i) = i**3 + 2562*i**2 + 327664*i + 16. Let u(s) = 3*s**3 + 12811*s**2 + 1638312*s + 88. Let q(t) = 2*u(t) - 11*x(t). Suppose q(f) = 0. What is f?
-256, 0
Let z be 30/(-9)*(3 + (-105)/20). Let t(a) be the first derivative of 9 + 10*a - a**5 - 5/3*a**3 + z*a**2 - 15/4*a**4. Let t(x) = 0. Calculate x.
-2, -1, 1
Let w(t) be the first derivative of -15*t**3 - 62 + 3*t**2 - 33 - 14*t**3 - 45*t + 30*t**3. What is i in w(i) = 0?
-5, 3
Let z(x) be the second derivative of x**6/60 - 471*x**5/5 + 221841*x**4 - 278632296*x**3 + 196853717124*x**2 - 8252*x. Solve z(u) = 0 for u.
942
Let v = 4/36221 - -41726572/181105. Determine l, given that v + 288/5*l + 2/15*l**3 + 24/5*l**2 = 0.
-12
Factor 90 - 39 + 38*b**2 - 42*b**2 - b + 5*b + 117.
-4*(b - 7)*(b + 6)
Suppose 4*u - 3*q - 692 = 0, -u - 2*q = u - 332. Find k, given that -5*k**2 + 129*k + 231*k - 535*k - u = 0.
-34, -1
Let w(m) be the third derivative of -105*m**2 + 0*m + 961/2*m**3 + 1/20*m**5 + 31/4*m**4 + 0. Let w(b) = 0. What is b?
-31
Let u(x) be the second derivative of -x**7/14 + 59*x**6/10 + 183*x**5/20 - 59*x**4/4 - 30*x**3 - 2157*x. Determine k so that u(k) = 0.
-1, 0, 1, 60
Let s = 749023 + -748793. Factor -2/5*w**3 - s*w + 94/5*w**2 + 1058/5.
-2*(w - 23)**2*(w - 1)/5
Let j(d) be the second derivative of d**6/840 - d**5/280 - 3*d**4/28 - d**3/3 - 6*d**2 - 46*d. Let h(f) be the second derivative of j(f). What is n in h(n) = 0?
-2, 3
Let f(m) be the first derivative of 84 + 0*m - 1/24*m**3 + 1/40*m**5 + 1/32*m**4 - 1/16*m**2. Factor f(c).
c*(c - 1)*(c + 1)**2/8
Let h(p) be the second derivative of p**6/20 + 53*p**5/40 - 209*p**4/24 + 9*p**3/4 + 63*p**2/2 - 112*p - 1. Find c such that h(c) = 0.
-21, -2/3, 1, 3
Let p = 3559577/1334838 - 3/444946. Factor 20/3*w**2 + 0 + 28/3*w**3 - p*w.
4*w*(w + 1)*(7*w - 2)/3
Let s(p) be the third derivative of 11/4*p**3 + 33*p**2 + 0 + 31/32*p**4 + 0*p - 3/80*p**5. Factor s(u).
-3*(u - 11)*(3*u + 2)/4
Factor -29154*u + 48658*u + 52277 +