4)
Let f(o) be the first derivative of 4/35*o**5 - 4/7*o**4 + 1/21*o**6 + 0*o + 0*o**2 + 0*o**3 + 49. Solve f(j) = 0 for j.
-4, 0, 2
Let m(b) be the third derivative of 0*b - 61/168*b**4 + 0 - 1/420*b**5 - 274*b**2 + 31/21*b**3. Let m(o) = 0. Calculate o.
-62, 1
Let -24/5 - 1/5*u**3 - 2*u + 13/5*u**2 = 0. What is u?
-1, 2, 12
Suppose 13 = 20*p - 127. Suppose -6*h = -p*h + 3*k + 2, -5*k = -h + 2. Suppose -4/3 - 12*d**h - 8*d - 16/3*d**3 = 0. Calculate d.
-1, -1/4
Let z(f) be the first derivative of 1/12*f**3 + 1/10*f**5 + 0*f - 1/4*f**2 + 5/16*f**4 + 28. Determine u, given that z(u) = 0.
-2, -1, 0, 1/2
Let r(t) be the third derivative of -t**6/10 + 7*t**5/3 - 53*t**4/3 + 112*t**3/3 - 1093*t**2. Solve r(l) = 0 for l.
2/3, 4, 7
Let o = 16 + 254. Factor -14*k**3 - 14*k**2 + 2*k**2 + 13*k**4 - 162 + o*k - 81 - 14*k**4.
-(k - 3)*(k - 1)*(k + 9)**2
Let c be (9/(-2) + 3)*4/(-3). Find x, given that 37612*x**2 - 37612*x**c - 4*x + 4*x**3 = 0.
-1, 0, 1
Determine r so that -158*r**4 + 45 + 272*r**3 - 93*r**4 - 50*r**4 + 590*r**2 + 466*r**4 + 208*r**3 + 300*r + 20*r**5 = 0.
-3, -1, -1/4
Let y(s) be the first derivative of s**3/6 + 48*s**2 + 1312. Suppose y(c) = 0. Calculate c.
-192, 0
Let -116 + 60*g**2 - 54*g - 46*g**3 + 97*g**3 - 53*g**3 = 0. What is g?
-1, 2, 29
Solve -1/8*t**2 - 153/8*t - 149/2 = 0 for t.
-149, -4
Let f = 3410 + -3410. Factor f + 8/3*m**2 - m**3 + m.
-m*(m - 3)*(3*m + 1)/3
Let o(h) be the second derivative of -1/18*h**4 - 1/10*h**5 + 0*h**2 - 8*h + 1/3*h**3 + 8 + 1/45*h**6. Solve o(a) = 0.
-1, 0, 1, 3
Let f(c) be the first derivative of -4*c**5/5 - 24*c**4 + 604*c**3/3 + 348*c**2 + 7096. Suppose f(d) = 0. Calculate d.
-29, -1, 0, 6
Let b(d) be the third derivative of -5/4*d**4 - 3/70*d**7 + 81*d**2 + 0*d**3 + 1/2*d**6 + 0 + 2*d - 23/20*d**5. Factor b(p).
-3*p*(p - 5)*(p - 2)*(3*p + 1)
Let a(p) = -42*p**2 + 2040*p + 522246. Let l(z) = 115*z**2 - 6121*z - 1566737. Let w(m) = -11*a(m) - 4*l(m). Factor w(q).
2*(q + 511)**2
Let h(l) be the second derivative of l**5/40 + 71*l**4/24 + 345*l**3/4 + 4293*l**2/4 - 2344*l. Let h(k) = 0. Calculate k.
-53, -9
Let s = -192 - -196. Let -18*n**4 - 9*n**3 - n**4 - 3*n**s + n**4 = 0. What is n?
-3/7, 0
Let o(v) = -v**3 - 1634*v**2 - 665854*v - 1325202. Let d(m) = 2*m**3 + 3270*m**2 + 1331709*m + 2650409. Let r(g) = -6*d(g) - 15*o(g). Factor r(l).
3*(l + 2)*(l + 814)**2
Let d(c) be the third derivative of -c**2 + 1/20*c**5 + 0*c**3 - 5/8*c**4 + 6 + 0*c. Factor d(m).
3*m*(m - 5)
Let -95/7*v + 132/7 - 36/7*v**2 - 1/7*v**3 = 0. What is v?
-33, -4, 1
Suppose -13*z = 37*z - 76 - 74. Let a(q) be the third derivative of -3/20*q**5 + 14*q**2 + 0*q**z + 0*q + 0*q**4 + 0 + 1/40*q**6. Factor a(p).
3*p**2*(p - 3)
Let s = 25310 - 25305. Let v(x) be the first derivative of 7/10*x**s + 4*x + 11*x**3 + 37/8*x**4 + 11*x**2 - 36. Find j such that v(j) = 0.
-2, -1, -2/7
Let b(f) be the third derivative of f**5/120 - 23*f**4/8 + 9*f**2 - 6*f - 5. Factor b(o).
o*(o - 138)/2
Factor 2/11*h**2 - 54*h - 596/11.
2*(h - 298)*(h + 1)/11
Let n(c) = -c**3 + 77*c**2 - 112*c. Let g(t) = -3*t**3 + 315*t**2 - 447*t. Let i(d) = 2*g(d) - 9*n(d). Suppose i(s) = 0. Calculate s.
0, 2, 19
Let x(n) be the second derivative of -n**4/66 + 64*n**3/33 - 183*n**2/11 - 2*n - 64. Factor x(l).
-2*(l - 61)*(l - 3)/11
Find l such that 57/2*l - 520 + 1/4*l**2 = 0.
-130, 16
Suppose -2 = -144*p - 3 + 1. Let q(o) be the second derivative of 0*o**4 - 3/10*o**3 + 11*o + 3/100*o**5 + 3/5*o**2 + p. Suppose q(m) = 0. What is m?
-2, 1
Factor 1/2*g**2 + 198 + 45/2*g.
(g + 12)*(g + 33)/2
Let q be 30/70 + (-4 - 159/(-21)). Let k(t) = t**2 - t. Let m(s) = -s**3 + 13*s**2 - 26*s - 36. Let i(w) = q*k(w) - 2*m(w). Factor i(a).
2*(a - 6)**2*(a + 1)
Let n(r) = 3*r - 23. Let y be n(8). Let d(c) = 12*c**2 + 4*c + 2. Let u(m) = -m**3 + m**2 - 2*m + 1. Let k(l) = y*d(l) - 2*u(l). Factor k(v).
2*v*(v + 1)*(v + 4)
Factor -2*j**5 + 2*j**4 - 382841*j**2 + 382841*j**2 + 4*j**3.
-2*j**3*(j - 2)*(j + 1)
Suppose 2*r**4 + 16/5*r**3 + 0 + 8/5*r**2 + 2/5*r**5 + 0*r = 0. Calculate r.
-2, -1, 0
Let v be (((-76)/(-57))/(4/(-138)))/(-2). Let m be (-3)/(-15)*(v - 13). Let 2 + 2/3*d**m + 8/3*d = 0. Calculate d.
-3, -1
Let r be (-8)/(-22)*(-9603)/(-12222). Factor 22/7 - 20/7*i - r*i**2.
-2*(i - 1)*(i + 11)/7
Let l(w) be the second derivative of w**8/4200 - w**7/2100 - w**6/225 + w**5/75 + 55*w**3/6 + 48*w. Let r(v) be the second derivative of l(v). Factor r(z).
2*z*(z - 2)*(z - 1)*(z + 2)/5
Factor 1912*k**2 - 13*k**3 - 2304 + 320*k + 9*k**3 - 1884*k**2.
-4*(k - 8)**2*(k + 9)
Suppose 48*w + 48*w = 0. Let f(m) be the first derivative of -2/5*m**5 + 2/3*m**3 + 0*m + 1/4*m**4 + 22 - 1/6*m**6 + w*m**2. Factor f(g).
-g**2*(g - 1)*(g + 1)*(g + 2)
Suppose 9*i - 480 = -480. Let x(g) be the third derivative of i*g**3 + 0*g**4 + 0*g + 0 + 35*g**2 - 1/180*g**5. Factor x(t).
-t**2/3
Let d(b) be the second derivative of b**7/56 - b**6/120 - 7*b**5/40 + b**4/12 + b**3/3 + 336*b. Let d(j) = 0. What is j?
-2, -2/3, 0, 1, 2
Suppose 5*w + 4*z - 11 = 0, 5*w + 0*w + 2*z = 13. Determine n, given that 39*n**2 + 7*n**w + 6 + 152*n + 144*n + 5*n**3 - 263*n = 0.
-2, -1, -1/4
Let b be (-21)/(-9) + ((-70)/245 - 87/63). Factor 8/3 + b*y**2 + 8/3*y.
2*(y + 2)**2/3
Let g(r) be the second derivative of 14*r**6/15 - 109*r**5/5 + 148*r**4/3 + 56*r**3 + 2644*r. Factor g(x).
4*x*(x - 14)*(x - 2)*(7*x + 3)
Let x(i) = -i**3 - 6*i**2 + 14*i - 11. Let k be x(-8). Let g(r) = 3*r**2 - r. Let c(w) = -2*w**2 + w. Let o(t) = k*c(t) + 3*g(t). Suppose o(a) = 0. What is a?
0, 2
Let t(j) be the third derivative of -j**6/96 - 55*j**5/24 - 15125*j**4/96 - 94*j**2. Suppose t(y) = 0. Calculate y.
-55, 0
Factor -288/11 + 2/11*m**2 + 0*m.
2*(m - 12)*(m + 12)/11
Let a(d) be the third derivative of -97*d**2 + 1/10*d**6 - 12*d**3 + 19/15*d**5 - 1/2*d**4 - 2/105*d**7 + 0 + 0*d. Find z such that a(z) = 0.
-3, -1, 1, 6
Let p be ((-840)/84)/(4/(-7)). Let u(w) be the first derivative of 14 - p*w**2 - 50*w - 5/3*w**3. Factor u(y).
-5*(y + 2)*(y + 5)
Let b be (-65)/(-52)*4/1 - 2. Let 3*p**4 - 133 + 24*p**2 + 273 - 140 + 27*p**b = 0. What is p?
-8, -1, 0
Suppose 5*a = -5*g + 10, -5*a = -2*g + 659 - 641. What is w in 0*w + 0 + 16/17*w**g + 2/17*w**2 + 18/17*w**3 = 0?
-1, -1/8, 0
Let i(p) be the second derivative of 7*p**5/4 - 1025*p**4/12 - 940*p**3/3 + 310*p**2 + 36*p + 17. Factor i(h).
5*(h - 31)*(h + 2)*(7*h - 2)
Suppose 0 = -248*v + 257*v - 108. Suppose 33*n**2 + 63*n - 183*n**3 + 84*n + 36*n - 45 + v*n**4 = 0. What is n?
-1, 1/4, 1, 15
Let c(h) be the third derivative of h**5/240 + 13*h**4/48 + 169*h**3/24 - 2*h**2 - 186. Factor c(k).
(k + 13)**2/4
Let r(u) = -2*u**2 + 6*u. Let i(g) = -g**3 - 48*g**2 - 189*g - 306. Let x(o) = -i(o) + 4*r(o). Find a such that x(a) = 0.
-34, -3
Suppose -3*f - 30 = 33. Let q = f + 69. Let 32 + 11*z**4 - 120*z**2 - 68*z**3 - 21*z**4 - 2*z**4 - q*z = 0. What is z?
-2, 1/3
Determine k, given that -2 - 3*k**2 + 182*k + 2 - 838*k + 161*k = 0.
-165, 0
Let q(f) be the first derivative of -19*f**4/16 + 25*f**3/2 - 117*f**2/8 - 7*f/2 - 3224. Solve q(r) = 0.
-2/19, 1, 7
Let a(g) = -29*g**2 + 11*g - 4. Let u be a(3). Let c = -230 - u. Factor 1/3*p - 1/3*p**3 - 4/3 + 4/3*p**c.
-(p - 4)*(p - 1)*(p + 1)/3
Let d(u) = 21*u - 32*u - 2 + 2*u**2 - 28 + 79*u. Let c(q) = -q**2 - 69*q + 28. Let b(v) = -2*c(v) - 3*d(v). Factor b(g).
-2*(g + 17)*(2*g - 1)
Let s = 1378422/2339695 + 70/37941. Let b = s - -1/111. Factor 9/5 + 6/5*u - b*u**2.
-3*(u - 3)*(u + 1)/5
Let v(g) = g**2 - 2*g + 1. Let h(z) = -1084*z - 145798. Let t(j) = -2*h(j) + 4*v(j). Factor t(l).
4*(l + 270)**2
Let g = -33/4 + 107/12. Let z = -1864 + 16778/9. Factor -4/9 - z*p**2 + g*p.
-2*(p - 2)*(p - 1)/9
Let j(p) be the second derivative of -7*p + 0*p**4 + 0*p**2 + 11/6*p**3 + 0 + 1/8*p**5 + 1/72*p**6. Let f(o) be the second derivative of j(o). Solve f(t) = 0.
-3, 0
Let n be (-1)/(-3) - (214/(-6) - 2). Let -n*z + 45*z**2 + 14*z + 5 - 20*z - 6*z = 0. What is z?
1/9, 1
Let k(z) be the third derivative of -3*z**6/70 + 19*z**5/5 - 260*z**4/21 + 344*z**3/21 - 4*z**2 + 53*z. Factor k(i).
-4*(i - 43)*(3*i - 2)**2/7
Let w(u) = 19*u**4 + 552*u**3 + 547*u**2 - 7. Let f(g) = -6*g**4 - 184*g**3 - 182*g**2 + 2. Let q(d) = -7*f(d) - 2*w(d). Factor q(v).
4*v**2*(v + 1)*(v + 45)
Let o be ((-4)/(-8