etermine t, given that a(t) = 0.
-16, -1/3
Let g(n) = -12*n**3 - 67*n**2 - 141*n + 10. Let f(k) = 7*k**3 + 33*k**2 + 71*k - 6. Let t(h) = -5*f(h) - 3*g(h). Let t(l) = 0. Calculate l.
-34, -2, 0
Let w = 2386/5 + -1357624/2845. Let h = w - -1120/5121. Find k such that -h - 2/9*k**2 + 4/9*k = 0.
1
Let q(w) = w**2 + 3. Let a be q(0). Factor 3*m**a - m**3 - 2*m**4 + 0*m**3 + m**3 + m**3 - 2*m**5.
-2*m**3*(m - 1)*(m + 2)
Let -512*u**3 + 136192*u + 4/3*u**5 + 44672/3*u**2 - 150528 - 44*u**4 = 0. What is u?
-12, 1, 28
Let z(i) be the second derivative of 8/15*i**6 + 5 + 3*i - 2/21*i**7 + 8/3*i**3 - 1/5*i**5 + 16*i**2 - 10/3*i**4. Suppose z(v) = 0. What is v?
-1, 2
Suppose 5*x - 2*l = 18, 49 - 65 = 2*x + 5*l. Factor 6/13*c + 2/13*c**x + 0.
2*c*(c + 3)/13
Find a such that 108/7*a**3 + 1240/7*a + 96/7 - 748/7*a**2 = 0.
-2/27, 3, 4
Let i(w) = 1. Suppose -2*b = 5*j - 7*b, -5*b = 3*j + 8. Let f(g) = g**4 - 3*g**3 + g**2 + 3*g. Let a(k) = j*f(k) + 2*i(k). What is y in a(y) = 0?
-1, 1, 2
Suppose 0 = -4*u + 3*q + 121, -2*q = -0*u + 2*u - 78. Let y = 64 - u. Factor 28*j**4 - 3*j**4 - 5*j - 5*j**4 - 5*j**5 - y*j**3 + 20*j**2.
-5*j*(j - 1)**4
Let o = 4036 + -4031. Let v(l) be the second derivative of -3*l**2 + 0 - 14*l + 1/10*l**o - 1/6*l**4 - 5/3*l**3. Determine s, given that v(s) = 0.
-1, 3
Let g(t) be the second derivative of -26/3*t**3 - 8*t**2 - t**5 + 0 + 13*t - 14/3*t**4. Determine k so that g(k) = 0.
-1, -4/5
Let x = -133 - -132. Let f be 0/18 + x + 0 + 385. Factor 1032*b**2 - 1446*b**3 + 1632*b + f + 420*b**4 - 75/2*b**5.
-3*(b - 4)**3*(5*b + 2)**2/2
Suppose -32*f + 52 = -19*f. Let x(i) be the second derivative of 1/2*i**f + 21*i + 0 + 0*i**2 + 1/21*i**7 - 1/5*i**6 - 2/3*i**3 + 1/10*i**5. Factor x(s).
2*s*(s - 2)*(s - 1)**2*(s + 1)
Determine v so that 0 + 0*v - 2/11*v**4 - 8/11*v**3 - 8/11*v**2 = 0.
-2, 0
Let i(d) be the second derivative of -3*d**7/77 + 3*d**6/5 + 361*d**5/110 + 241*d**4/66 - 40*d**3/33 - 28*d**2/11 - 2893*d. Let i(g) = 0. Calculate g.
-2, -1, -1/3, 1/3, 14
Let v be 11 + 0 + 9/(-1). Suppose -6*h + 11*h = -10, v*z - 5*h = 10. Factor z*l - 1/3*l**2 + 1/3*l**4 + 0 + 0*l**3.
l**2*(l - 1)*(l + 1)/3
Factor -189*i**2 + 41 - 119 - 662 + 744*i - 29*i**3 + 30*i**3.
(i - 185)*(i - 2)**2
Let n = -251061/4 - -62766. What is x in 0 - n*x**2 - 3/4*x = 0?
-1, 0
Let g(f) be the second derivative of -1/180*f**6 + 0*f**2 + 5*f**3 + 0 - 5/6*f**4 + 11*f + 7/60*f**5. Let d(x) be the second derivative of g(x). Factor d(t).
-2*(t - 5)*(t - 2)
Let o(b) be the third derivative of 0 - 29/75*b**6 + 0*b - 6/5*b**4 + 53/25*b**5 + 16*b**2 - 6/175*b**7 + 0*b**3 + 1/105*b**8. Determine l, given that o(l) = 0.
-4, 0, 1/4, 3
Let s(r) = 2*r**3 + 88*r**2 - 149*r + 10. Let p(z) = 3*z**3 + 90*z**2 - 150*z + 12. Let d(j) = -5*p(j) + 6*s(j). Factor d(m).
-3*m*(m - 24)*(m - 2)
Let a(c) = -3*c**3 + 12*c**2 - 6. Let w(h) = -h**3 + 2*h**2 - 1. Let d be 9/(-5)*(-3)/((-99)/110). Let n(r) = d*w(r) + a(r). Determine j so that n(j) = 0.
0
Let m(h) be the first derivative of -h**5/5 - 41*h**4 - 644*h**3/3 - 320*h**2 - 2780. Factor m(x).
-x*(x + 2)**2*(x + 160)
Find r, given that 1625/3*r**2 + 225*r**3 + 0 + 0*r + 25*r**4 + 1/3*r**5 = 0.
-65, -5, 0
Let l be 8 + (2 - 6)*1. What is x in 2*x**2 - 7*x - 30*x**2 + 24*x**3 - 2*x**5 + 17*x - 4*x**l = 0?
-5, 0, 1
Let h(c) = -12*c**2 - 19*c. Let q(y) = 5*y**2 + 4*y + 11*y - 6*y. Let i(m) = -6*h(m) - 15*q(m). Solve i(a) = 0 for a.
-7, 0
Factor -273*x**2 + 1295 - 36*x + 804*x**2 - 268*x**2 - 114*x - 268*x**2.
-5*(x - 7)*(x + 37)
Let w(o) be the second derivative of -o**7/1260 - o**6/108 - 7*o**5/180 - o**4/12 - 8*o**3 - 4*o - 4. Let s(f) be the second derivative of w(f). Factor s(z).
-2*(z + 1)**2*(z + 3)/3
Let s(y) be the third derivative of y**5/30 + 77*y**4/12 + 50*y**3 + y**2 - 2. Factor s(o).
2*(o + 2)*(o + 75)
Let 130*m + 53623 - 110118 + 0*m**2 + 2*m**2 + 54467 = 0. What is m?
-78, 13
Determine k so that 1088*k - 9/2*k**5 + 348*k**2 - 71*k**4 - 256 - 254*k**3 = 0.
-8, -2, 2/9, 2
Let y(j) = -2*j**3 + 17*j**2 + 152*j - 1287. Let q be y(9). Let m(c) be the second derivative of -18*c + 1/12*c**4 + 0 + q*c**2 - 1/2*c**3. Factor m(d).
d*(d - 3)
Let t(j) be the second derivative of 2*j**5/5 - 3*j**4/2 - 17*j**3/2 - 10*j**2 + 37*j + 22. Let t(u) = 0. Calculate u.
-5/4, -1/2, 4
Let n be (-2 + 3)/((-8)/(-104)). Factor -4*a**2 - 48 + n*a + 41*a + 8*a - 10*a.
-4*(a - 12)*(a - 1)
Let g = 20983/6 + -3497. Let s(d) be the second derivative of 0 + 8*d - 1/4*d**2 - g*d**3 - 1/24*d**4. Solve s(i) = 0.
-1
Let f(r) be the first derivative of -1/35*r**5 - 2/7*r - 1/28*r**4 + 43 + 1/14*r**2 + 1/7*r**3. Factor f(t).
-(t - 1)**2*(t + 1)*(t + 2)/7
Let r(w) be the second derivative of 0*w**2 - 23/6*w**3 + 1/7*w**4 + 0 + 1/252*w**6 + 8/105*w**5 + 11*w. Let g(d) be the second derivative of r(d). Factor g(c).
2*(c + 6)*(5*c + 2)/7
Let c = -17928/7 + 2576. Let r = -6906 - -6910. Suppose 192/7*h**2 - 32/7 + 18/7*h**r - c*h**3 - 96/7*h = 0. What is h?
-2/9, 2
Suppose 0 = -7*s + 6*s + 3. Factor 163*k**3 - 43*k + 161*k**3 - 12*k - 60*k**2 - 329*k**s.
-5*k*(k + 1)*(k + 11)
Let k(u) be the third derivative of u**7/840 - 23*u**6/240 - 5*u**5/4 - 19*u**4/6 - 54*u**2. Let g(r) be the second derivative of k(r). Factor g(q).
3*(q - 25)*(q + 2)
Let p(n) be the second derivative of -n**4/36 - 119*n**3/18 + 310*n**2/3 + 3*n + 357. Find r such that p(r) = 0.
-124, 5
Let d(o) be the second derivative of 0*o**2 + 62/3*o**3 + 0 - 10*o**4 - 1/5*o**5 - 144*o. Suppose d(k) = 0. What is k?
-31, 0, 1
Suppose 0*y - y - 4*n = 0, 5*y = -3*n. Let w = 8 + y. Let t(m) = m**3 + 8*m**2 - 8*m - 8. Let c(z) = 3*z**2 - 3*z - 3. Let q(h) = w*c(h) - 3*t(h). Factor q(x).
-3*x**3
Let q(j) be the second derivative of 4*j**4/3 - 331*j**3 + 124*j**2 - 8*j - 17. Factor q(i).
2*(i - 124)*(8*i - 1)
Suppose 0*s - 5*n - 1 = s, 2*s - 10 = 2*n. Let m = 16 - 14. Factor -g + s + 7*g - 56*g**3 + 58*g**3 + 6*g**m - 2.
2*(g + 1)**3
Let z(s) be the third derivative of -1/120*s**5 - s - 1/2*s**3 - 5/48*s**4 + 7*s**2 + 0. Factor z(f).
-(f + 2)*(f + 3)/2
Suppose -8*h + 6*h**3 + 5*h**5 + 32*h**4 - 37*h**4 - 4*h**5 - h**2 + 3*h**2 + 2*h**2 = 0. Calculate h.
-1, 0, 2
Let t(f) = -15*f**3 + f**2 + 41*f + 25. Let y(m) = 7*m**3 - 19*m - 12. Let k(l) = 6*t(l) + 13*y(l). Factor k(h).
(h - 1)*(h + 1)*(h + 6)
Factor 2*u - 25*u**2 + 26 - u**2 - 8*u**3 - 4*u + 4*u + 6*u**3.
-2*(u - 1)*(u + 1)*(u + 13)
Let g be 3/((-54)/22)*57/(-418). Let q(b) be the second derivative of 3*b - 3/10*b**5 + 1/5*b**6 + 0*b**3 - 1/21*b**7 + 0*b**2 + 0 + g*b**4. Factor q(w).
-2*w**2*(w - 1)**3
Factor 171/8*z + 6*z**2 + 0 - 3/8*z**3.
-3*z*(z - 19)*(z + 3)/8
Factor -104*q + 66*q**3 + 13367*q**2 - 64*q**3 - 13415*q**2.
2*q*(q - 26)*(q + 2)
Suppose 27*d - 5*i = 32*d - 85, -3*i + 79 = 5*d. Let p(q) = q**3 - 15*q**2 + 5*q + 128. Let f be p(d). Factor -2/3 + 5/6*v - 1/6*v**f.
-(v - 4)*(v - 1)/6
Let t(f) be the third derivative of f**7/105 + 49*f**6/180 + 139*f**5/90 - 421*f**4/36 - 154*f**3/9 - 811*f**2 - 2. Find v, given that t(v) = 0.
-11, -7, -1/3, 2
Factor -2*a**3 - 2880 - 500*a**2 - 7345*a + 4921*a - 2*a**3.
-4*(a + 2)*(a + 3)*(a + 120)
Let d = -7730 + 7732. Let v(i) be the first derivative of 0*i**3 + 0*i**d - 14 + 0*i**5 + 0*i**4 + 0*i - 1/8*i**6. Factor v(s).
-3*s**5/4
Let g(k) be the third derivative of k**5/270 - k**4/108 - 272*k**3/27 + 9189*k**2. Factor g(b).
2*(b - 17)*(b + 16)/9
Let v(o) be the third derivative of -o**6/20 + 7*o**5/20 - o**4/2 - 2*o**3 - o**2 + 410*o. Solve v(f) = 0 for f.
-1/2, 2
Let w(j) be the third derivative of j**9/5040 + j**8/1050 + j**7/1050 - j**3/6 + 14*j**2. Let a(r) be the first derivative of w(r). Solve a(q) = 0 for q.
-2, -2/3, 0
Let r(s) be the first derivative of -s**6/21 - 36*s**5/35 + 570*s**4/7 + 42064*s**3/21 - 46464*s**2 - 12266496*s/7 + 1966. Factor r(p).
-2*(p - 24)**2*(p + 22)**3/7
Let i = -131/129 + 101/43. Factor -11/9*r**2 + 0 + i*r**3 + r**4 + 2/9*r.
r*(r + 2)*(3*r - 1)**2/9
Let l(g) be the second derivative of -64*g**7/7 - 424*g**6 - 6993*g**5/10 - 6939*g**4/16 - 108*g**3 + 474*g. Let l(w) = 0. What is w?
-32, -3/8, 0
Factor -1061 + 803 + l**3 + 32*l**2 + 221*l - 80*l**2.
(l - 43)*(l - 3)*(l - 2)
Determine q, given that 76*q**4 - 4*q**5 + 76 - 1455*q - 152*q**2 - 1475*q + 2926*q + 8*q**3 = 0.
-1, 1, 19
So