f so that b*f**2 + 18*f**2 - 3*f + 8*f - 5*f**2 = 0.
-1/3, 0
Let x(v) be the first derivative of 1/70*v**5 - 9 + 2/7*v**2 - 1/7*v**3 - 3*v + 0*v**4. Let b(p) be the first derivative of x(p). Solve b(j) = 0 for j.
-2, 1
Let u(y) be the second derivative of 49*y**6/270 - 35*y**5/36 + 22*y**4/27 - 2*y**3/9 - 4*y. Find m, given that u(m) = 0.
0, 2/7, 3
Let d(k) = -8*k**3 - 78*k**2 + 5*k - 5. Let w(s) = 3*s**3 + 38*s**2 - 2*s + 2. Let v(x) = -2*d(x) - 5*w(x). Factor v(j).
j**2*(j - 34)
Let s(w) = 2*w**2 + 8*w + 8. Let k(n) = -14*n**2 - 56*n - 56. Let q(f) = -6*k(f) - 44*s(f). Factor q(c).
-4*(c + 2)**2
Let i(n) = 17*n + 16. Let c(d) = -d**2 + d + 1. Let m(o) = c(o) - i(o). Find p, given that m(p) = 0.
-15, -1
Let -49/3*a**2 + 12*a - 1/3*a**4 + 9/2*a**3 + 32/3 = 0. Calculate a.
-1/2, 2, 4, 8
Let s(l) be the second derivative of 0*l**3 + 0*l**4 + 0*l**2 + 0 + 5*l + 3/80*l**5. Let s(a) = 0. Calculate a.
0
Let t be (24/14)/(2/7). Suppose 4*k - 3 = 17. Factor -3*g + g - g + 3*g**k - t*g**2 + 6*g**4.
3*g*(g - 1)*(g + 1)**3
Let h be (-4)/(-2) - 6 - (-7)/((-182)/(-148)). Factor h*j - 32/13*j**2 - 4/13 + 14/13*j**3.
2*(j - 1)**2*(7*j - 2)/13
Let g(d) = d**3 + 3*d**2 + 3*d + 3. Let j be g(-2). Let k = j - 1. Factor 3*l**2 + 2*l**2 + 3*l - 2*l**2 - 3 - 3*l**3 + k*l**3.
-3*(l - 1)**2*(l + 1)
Let t be -3 - ((-4)/(-18) + 65/(-9)). Let y(r) be the third derivative of -1/8*r**3 + 0*r + 0 - 1/240*r**5 - 1/24*r**t + 6*r**2. Factor y(b).
-(b + 1)*(b + 3)/4
Let h be (76/114)/(5 - -5) - (-1)/3. Factor -12/5*q**2 + 2*q**3 - 8/5*q - h*q**4 + 16/5.
-2*(q - 2)**3*(q + 1)/5
Let p = -13049/2 + 6698. Let k = p - 172. Find l, given that 3/2*l**2 + k*l**4 + 0 + 3*l**3 + 0*l = 0.
-1, 0
Let 4*m + 8*m**2 + 0*m**4 - 4*m**5 + 5*m**4 - 13*m**4 = 0. What is m?
-1, 0, 1
Factor 13*i + 48*i - 16*i - i**2 + 6*i**2.
5*i*(i + 9)
Solve -3/2*o + 3/2*o**4 + 3/2*o**3 - 3/2*o**2 + 0 = 0.
-1, 0, 1
Let p(r) = -r**3 + 7*r**2 + 8*r. Suppose -226*v = -231*v + 40. Let y be p(v). Find h, given that 0 + y*h - 2/5*h**2 = 0.
0
Let x(j) be the first derivative of 0*j**4 + 0*j + 2/25*j**5 - 2/5*j**2 - 2/5*j**3 - 9. Factor x(a).
2*a*(a - 2)*(a + 1)**2/5
Let j be (-7 - -1)*2*(-2)/12. Solve 3*z**j + z - 6*z**3 - 8*z + 13*z - 3*z**4 + 0*z**3 = 0 for z.
-2, -1, 0, 1
Let k(v) be the second derivative of -2*v + 1/5*v**6 + 3/2*v**4 + 0 + 1/56*v**7 + 9/8*v**3 + 0*v**2 + 33/40*v**5. Let k(w) = 0. Calculate w.
-3, -1, 0
Let s(x) = 2*x**4 - 54*x**2 - 108*x - 5. Let m(l) = -l**4 + 27*l**2 + 54*l + 3. Let z(p) = 5*m(p) + 3*s(p). Suppose z(n) = 0. Calculate n.
-3, 0, 6
Suppose 20 = -3*s + 29. Find d such that 24*d**2 + 0*d**s + 10*d - 5*d**3 - 58*d + 2*d**3 = 0.
0, 4
Let t(m) be the third derivative of -m**5/15 - 25*m**4/6 - 16*m**3 + 2*m**2 + 61. Determine w, given that t(w) = 0.
-24, -1
Let c(t) be the third derivative of 5*t**8/84 - 302*t**7/105 + 199*t**6/6 + 2207*t**5/15 + 400*t**4/3 - 512*t**3/3 + 116*t**2. Determine y so that c(y) = 0.
-1, 1/5, 16
Let h = -2 - -6. Suppose -34*d + 29*d = 0. Factor 2*g**3 + d + g**2 + 0 + 105*g**h - 104*g**4.
g**2*(g + 1)**2
Factor 2/3*h**3 + 14/3*h - 1/3*h**4 + 5/3 + 4*h**2.
-(h - 5)*(h + 1)**3/3
Let i(f) = -3*f - 2. Let z be i(-2). Suppose -z*o + 4*j + 28 = 0, 0 + 1 = 3*o + 2*j. Factor -3*g**3 + 2*g - 5*g**2 + 5*g**2 + g**o.
-2*g*(g - 1)*(g + 1)
Factor 58/9*y**2 + 2/9*y**3 + 110/9*y + 6.
2*(y + 1)**2*(y + 27)/9
Let g(n) = -2*n**2 - 10*n + 58. Let h(x) = -2*x - 1. Let p(o) = -g(o) - 6*h(o). Let p(m) = 0. What is m?
-13, 2
Let s(n) be the third derivative of -n**8/112 + n**7/7 - 27*n**6/40 + 9*n**5/10 - 183*n**2. Suppose s(b) = 0. Calculate b.
0, 1, 3, 6
Let u(f) be the second derivative of f**7/42 + 7*f**6/30 + 7*f**5/20 - 19*f**4/12 - 8*f**3/3 + 10*f**2 - f + 256. Determine m, given that u(m) = 0.
-5, -2, 1
Let y(c) = -3*c + 11. Let v be y(6). Let f = -5 - v. Find w such that w**f - 3*w - 3 + 2*w + 1 + 0*w = 0.
-1, 2
Let f be (-115)/(-100) + -11 + 10. Let o(v) be the second derivative of v**2 + f*v**5 + 5*v + 1/6*v**4 - 7/6*v**3 + 0. Solve o(d) = 0 for d.
-2, 1/3, 1
Let m(d) be the third derivative of d**6/30 + 24*d**5/5 + 216*d**4 + 203*d**2. Factor m(o).
4*o*(o + 36)**2
Suppose 24*y**4 + 68*y**2 + 55*y**3 + 8*y + 57*y**3 + 36*y**4 - 8*y**4 + 0*y**4 = 0. What is y?
-1, -2/13, 0
Let t(y) be the third derivative of y**6/210 - 13*y**5/105 + 8*y**4/7 - 24*y**3/7 + 137*y**2. Let t(b) = 0. What is b?
1, 6
Let m = -2/19 - -60/209. Let r be ((-168)/1078)/((-8)/28). Let r*q + 0 - m*q**2 = 0. Calculate q.
0, 3
Let n(j) be the second derivative of -27*j**5/80 + 65*j**4/16 - 17*j**3/2 + 9*j**2/2 + 83*j. Factor n(i).
-3*(i - 6)*(i - 1)*(9*i - 2)/4
Let d(q) be the first derivative of -2*q**3/3 - 200*q**2 - 20000*q - 149. Factor d(r).
-2*(r + 100)**2
Let z = -4158 + 8319/2. Let 8*p - 8*p**3 - z*p**2 - 2 + 7/2*p**4 = 0. What is p?
-1, 2/7, 1, 2
Factor -20 - 2*a**4 - 2*a**5 - 4 + 24.
-2*a**4*(a + 1)
Let u(p) be the second derivative of -11/15*p**6 + 0 - 27*p**3 - 27*p**2 - 23/5*p**5 - 15*p**4 - 1/21*p**7 + 23*p. Suppose u(k) = 0. What is k?
-3, -1
Let t(w) be the third derivative of -w**8/12 - 43*w**7/105 - 197*w**6/420 + 5*w**5/21 + 13*w**4/21 + 8*w**3/21 + 236*w**2. Suppose t(m) = 0. What is m?
-2, -1, -2/7, 1/2
Let d(y) be the third derivative of 0 - 1/595*y**7 + 0*y**4 - 30*y**2 + 1/510*y**6 + 1/2856*y**8 + 0*y**3 + 0*y**5 + 0*y. Factor d(z).
2*z**3*(z - 2)*(z - 1)/17
Let j = -2/11 + 51/220. Let n(z) be the third derivative of 0*z + 0 - j*z**5 - 4*z**2 - 9/2*z**3 + 3/4*z**4. What is x in n(x) = 0?
3
Let v(r) = -60*r**2 + 748*r + 24. Let j(o) = -20*o**2 + 250*o + 9. Let x(p) = -8*j(p) + 3*v(p). Solve x(b) = 0 for b.
0, 61/5
Let f be 4/(-5)*(2 + -7). Suppose -13*m + 18*m - 25 = -5*c, 0 = 3*c - 2*m. Factor -5*r**4 + 6*r + 10*r**f - 10*r**3 - 5*r**c + 4*r.
5*r*(r - 2)*(r - 1)*(r + 1)
Suppose -76*t + 84*t = 16. Let a(p) be the first derivative of 3/10*p**t - 3/5*p + 1/5*p**3 - 5 - 3/20*p**4. Let a(z) = 0. What is z?
-1, 1
Let x(a) = -a**3 - 35*a**2 - 5*a - 170. Let d be x(-35). Let u(n) be the third derivative of 2/9*n**3 + 0*n**4 + 0 + 0*n - 1/180*n**5 - d*n**2. Factor u(z).
-(z - 2)*(z + 2)/3
Suppose z = -3*z + 16, -5*z + 220 = -4*k. Let i be k/18 - (-13 + 10). Factor -2/9 + 2/9*v**3 + i*v**2 - 2/9*v.
2*(v - 1)*(v + 1)**2/9
Let o(h) = 2*h + 16. Let q be o(-7). Suppose 180 = q*z + 3*z. Factor 18*t**3 - 4*t**2 + z*t**2 + 2*t**4 + 22*t**2 + 54*t.
2*t*(t + 3)**3
Let w(y) = 14*y**2 + 87*y + 20. Let u be w(-6). Factor -2/7*j**u + 26/7*j + 0.
-2*j*(j - 13)/7
Let -90*b + b**2 + 102*b - 7 + 2*b**2 - 5 - 3*b**3 = 0. What is b?
-2, 1, 2
Let o(d) be the second derivative of d**5/10 + 151*d**4/54 - 34*d**3/27 + d - 2. Factor o(w).
2*w*(w + 17)*(9*w - 2)/9
Let g(y) be the second derivative of 0*y**2 + 0 - 1/60*y**6 - 5/24*y**4 - 1/6*y**3 - 1/10*y**5 + 33*y. Let g(z) = 0. Calculate z.
-2, -1, 0
Let g be (908/(-3))/1 + (-11)/33. Let j = 1217/4 + g. Factor j*v - 5/2 + 5/4*v**2.
5*(v - 1)*(v + 2)/4
Let o(a) = a**2 - 2*a - 1. Let y(t) = -13*t**2 - 26*t - 3. Let w(p) = 3*o(p) + y(p). Factor w(i).
-2*(i + 3)*(5*i + 1)
Let n = 8587/3 - 2859. Solve -n*r**4 + 8/9*r**2 - 17/9*r**3 + 0 + 4/9*r = 0.
-2/3, -2/5, 0, 1/2
Let u(g) = g**2 - 12*g. Let n be u(12). Suppose 3*s + n*s = -x + 5, 3*x - 2*s = 4. Find m, given that -m - m - 6*m + 3*m**2 + x*m = 0.
0, 2
Let o be 1/(93/18 + -5). Factor -5*w**3 + o*w**2 + 3*w**3 - w**3 - 3*w**4.
-3*w**2*(w - 1)*(w + 2)
Let n(l) = 325*l + 1300. Let y be n(-4). Factor -3/2*v**3 + 0 + y*v - 6*v**2.
-3*v**2*(v + 4)/2
Let v(q) be the third derivative of q**8/1344 - q**7/126 + 5*q**6/144 - q**5/12 + 13*q**4/12 - 36*q**2. Let i(w) be the second derivative of v(w). Factor i(d).
5*(d - 2)*(d - 1)**2
Suppose -2*y = 2*y - 4, 0 = -3*c - y + 13. Let q be c - 2 - (1 - 1). Factor -136*l - 2*l**3 - 8 + 136*l + 6*l**q.
-2*(l - 2)**2*(l + 1)
Find w such that 64 + 8*w - 63*w**2 + 260*w + 12*w**3 - 28*w - 8*w**3 = 0.
-1/4, 8
Suppose 2*b - 6 - 2 = 0. Suppose -15 = -i - b*i. Suppose -4 - 2*n - 2 - i*n**2 - 7*n = 0. What is n?
-2, -1
Let l(q) be the first derivative of -q**3/7 + 24*q**2/7 + 51*q/7 + 5. Find k, given that l(k) = 0.
-1, 17
Let d(n) be the first derivative of -n**3/3 - 15*n**2/2 + 19*n - 6. Let i be d(-16). Suppose 2/9*w - 2/3*w**2 - 2/9*w**4 + 0 + 2/3*w**i = 0. Calculate w.
0, 1
Let o(l) be t