v**4 + 6/5*v**5 + 12*v**2 + 12*v - 3*v**3 - 43. Find p, given that z(p) = 0.
-1, -1/2, 2
Let m = 343 - 340. Let o(t) be the third derivative of -1/90*t**5 + 0 + 0*t**m - 1/72*t**4 + 0*t - 1/360*t**6 - 8*t**2. Solve o(x) = 0.
-1, 0
Let p(l) be the second derivative of l**5/170 + 2*l**4/51 - 11*l**3/51 + 6*l**2/17 - 2*l + 2. Factor p(m).
2*(m - 1)**2*(m + 6)/17
Let 2/3*h - 56/9 + 2/9*h**2 = 0. Calculate h.
-7, 4
Let i(q) be the third derivative of -q**10/100800 + q**9/40320 + q**8/6720 - q**5/30 - 11*q**2. Let g(w) be the third derivative of i(w). Factor g(k).
-3*k**2*(k - 2)*(k + 1)/2
Suppose -5*s + x - 6*x + 30 = 0, 0 = -4*s + 2*x + 42. Suppose -s*b + 7*b + 4 = 0. Solve 229*c - 2*c**4 + 0*c**4 - b*c**3 - 229*c = 0 for c.
-1, 0
Let f(u) be the first derivative of 4*u**3/15 - 66*u**2/5 + 150. Factor f(t).
4*t*(t - 33)/5
Let t(c) = -15*c**3 - 12*c**2 + 12*c + 6. Let o(g) = 29*g**3 + 25*g**2 - 22*g - 13. Let l(p) = 3*o(p) + 5*t(p). Determine i so that l(i) = 0.
-1, 3/4
Factor 156/7*j**2 + 4056/7*j + 35152/7 + 2/7*j**3.
2*(j + 26)**3/7
Factor 14/13*c**3 + 18/13*c - 2/13*c**4 + 0 - 30/13*c**2.
-2*c*(c - 3)**2*(c - 1)/13
Let g(q) = -4*q**2 - 25*q - 79. Let i(a) = -a**2 - 7*a - 20. Let t(m) = 4*g(m) - 18*i(m). Factor t(v).
2*(v + 2)*(v + 11)
Let q(f) be the first derivative of -f**5/10 + 97*f**4/40 - 19*f**3/15 + 39. Let q(d) = 0. What is d?
0, 2/5, 19
Suppose 2*k - 3*k - 13 = 4*t, -5*t = k + 14. Let v be (k/120*4)/((-2)/4). Let 3*r**4 - 6/5*r**5 + 0 + 3/5*r - 9/5*r**3 - v*r**2 = 0. What is r?
-1/2, 0, 1
Let h(t) = t**3 - 3*t**2 + t - 5. Let y be h(3). Let m = y + 2. Factor 3/5*w**2 + m + 3/5*w.
3*w*(w + 1)/5
Let i(k) be the second derivative of -k**5/40 - k**4/9 - k**3/9 - 444*k. Factor i(f).
-f*(f + 2)*(3*f + 2)/6
Let q = 5/109 - -961/436. Let l(t) be the first derivative of 25/12*t**3 - 21/4*t**2 + q*t + 1 - 1/4*t**4. What is g in l(g) = 0?
1/4, 3
Let r(z) be the third derivative of z**5/20 - 5*z**4/8 - 29*z**2 - 2. Determine x, given that r(x) = 0.
0, 5
Let m be 105*2 + 10 + -10. Let b be -14*(-20)/m*27/8. Factor 3/2*h**4 + 9/2*h**2 - b*h**3 + 0 - 3/2*h.
3*h*(h - 1)**3/2
Let h(m) be the third derivative of -m**8/6720 - m**7/1120 - m**6/1440 - 5*m**4/4 - m**2. Let x(j) be the second derivative of h(j). Factor x(d).
-d*(d + 2)*(4*d + 1)/4
Let b(k) be the third derivative of -6*k**2 - 3/35*k**7 - 2/3*k**5 + 0*k - 9/20*k**6 - 1/3*k**4 + 0*k**3 + 0. Determine a so that b(a) = 0.
-2, -2/3, -1/3, 0
Let 2*n**3 - 13/3*n**4 + 13 + 86/3*n**2 - 1/3*n**5 + 107/3*n = 0. Calculate n.
-13, -1, 3
Let o = 16 + -16. Suppose -f + 9 = -o*f. Factor f*u**3 + 2 - 2 - 15*u**2 + 7*u - 13*u.
3*u*(u - 2)*(3*u + 1)
Let v(f) be the second derivative of -26*f + 5/2*f**3 + 0 + 0*f**2 - 1/4*f**4. Factor v(j).
-3*j*(j - 5)
Let f(v) be the third derivative of -5*v**6/12 - 19*v**5/6 - 16*v**4/3 - 4*v**3 + 78*v**2. Factor f(l).
-2*(l + 3)*(5*l + 2)**2
Determine u, given that 5547 - 7*u**3 + 2*u**3 - 1591*u - 6*u**3 - 4*u**3 - 83*u**2 + 14*u**3 = 0.
-43, 3
Let q(w) be the first derivative of 3*w**4/28 + 24*w**3/7 + 18*w**2 + 240*w/7 + 152. Determine t, given that q(t) = 0.
-20, -2
Let y(j) = -22*j - 17. Let s be y(-1). Let r(m) be the third derivative of 1/3*m**4 + 1/30*m**s - 2*m**2 + 0 + m**3 + 0*m. Find w, given that r(w) = 0.
-3, -1
Let y(o) be the third derivative of o**8/672 + o**7/140 - o**6/80 - 11*o**5/120 - o**4/8 + 4*o**2 - 10*o. Find k, given that y(k) = 0.
-3, -1, 0, 2
Suppose 0 = -2*l - 2*s + 24, -l + 3*s + 3 - 11 = 0. Factor -2*o**2 - 3*o**3 + 0*o**2 + 0*o**4 + l*o**3 - 2*o**4.
-2*o**2*(o - 1)**2
Suppose -51*i - 58*i = 0. Suppose -8/5*g**3 + 0*g + i - 1/5*g**5 + g**4 + 4/5*g**2 = 0. Calculate g.
0, 1, 2
Let q(g) = -15*g**3 + 14*g**3 - 5*g**2 - g - 14 + 4*g. Let v be q(-6). Factor -7/2*m**v + m**3 + 1/2*m**2 + 2*m**5 + 0 + 0*m.
m**2*(m - 1)**2*(4*m + 1)/2
Let k(p) be the second derivative of -p**6/30 - p**5/2 - 37*p**4/12 - 10*p**3 - 18*p**2 - 555*p. Factor k(w).
-(w + 2)**2*(w + 3)**2
Let z(h) be the first derivative of -h**6/18 + 2*h**5/15 - h**4/12 - 67. Factor z(f).
-f**3*(f - 1)**2/3
Let q(h) be the second derivative of 1/15*h**4 + 4/5*h**2 + 2/5*h**3 - 18*h + 0. Determine d so that q(d) = 0.
-2, -1
Let l(n) be the first derivative of 19 - 2/9*n**3 - 2/3*n**2 + 0*n. What is t in l(t) = 0?
-2, 0
Suppose 2*t = t + 5. Let b(k) be the first derivative of -6 - 1/7*k**4 - 2/7*k + 2/7*k**2 + 2/35*k**t + 0*k**3. Factor b(o).
2*(o - 1)**3*(o + 1)/7
Suppose 0*t = 3*k - 3*t + 30, 3*t = -2*k - 10. Let d = k + 12. What is z in 3*z**4 + 3*z**2 - 2*z - 4*z**d + 4*z = 0?
-1, 0, 2
Let v be 6/12 - (-6)/4. Let i(z) = 9*z**3 + 2*z**2 + 2*z - 4. Let b be i(v). Factor -r**2 + 79*r + r**3 + r**4 - 1 - b*r + 1.
r*(r - 1)*(r + 1)**2
Let 363 + 66*c - 199*c**2 + 800*c**2 - 200*c**2 - 196*c**2 - 202*c**2 = 0. Calculate c.
-11
Solve -245*i**5 - 131 + 120*i**3 + 261*i**4 + 1349*i**4 + 1664*i**2 - 7984*i**2 + 3440*i - 349 = 0 for i.
-2, 2/7, 2, 6
Let g(r) be the first derivative of r**5/120 + r**4/12 + r**3/4 - 7*r**2/2 + 7. Let l(h) be the second derivative of g(h). Find q such that l(q) = 0.
-3, -1
Let d(c) = -14*c**4 + 70*c**3 - 288*c**2 + 208*c. Let v(a) = 5*a**4 - 23*a**3 + 96*a**2 - 69*a. Let l(z) = 3*d(z) + 8*v(z). Factor l(q).
-2*q*(q - 6)**2*(q - 1)
Let -485/4*g**3 + 115/4*g + 5 - 20*g**5 - 5/2*g**2 + 110*g**4 = 0. Calculate g.
-1/4, 1, 4
Let t(i) be the third derivative of i**6/240 + i**5/15 - 5*i**4/12 + i**2 - 11*i. Factor t(x).
x*(x - 2)*(x + 10)/2
Let v(q) = 72*q**4 + 322*q**3 - 2*q**2 - 4. Let x(m) = 2*m**5 + m**3 + m**2 + 2. Let p(u) = v(u) + 2*x(u). Factor p(w).
4*w**3*(w + 9)**2
Let o(f) = -f**3 - f**2 + 1. Let d(g) = g**5 + 6*g**4 + 8*g**3 - 2*g**2 - 11*g - 4. Let n(p) = -d(p) + 2*o(p). Let n(x) = 0. Calculate x.
-3, -2, -1, 1
Let k(c) be the third derivative of 1/315*c**7 + 11/36*c**4 + 0 - 1/3*c**3 + 0*c + 1/30*c**6 - 7/45*c**5 - 1/504*c**8 - 7*c**2. Factor k(v).
-2*(v - 1)**4*(v + 3)/3
Let z(y) be the second derivative of 0 + 1/30*y**5 - 1/9*y**3 - 1/24*y**4 - 1/180*y**6 + 1/3*y**2 + 12*y. Solve z(h) = 0.
-1, 1, 2
Let a(s) be the second derivative of -s**4/8 - 23*s**3/4 - 56*s. Suppose a(p) = 0. What is p?
-23, 0
Let s(o) be the second derivative of -o**7/140 + o**6/40 + 3*o**2 - 8*o. Let a(u) be the first derivative of s(u). Determine w, given that a(w) = 0.
0, 2
Let r = -46673/2 - -23339. Factor r*v + 3/2 - v**2.
-(v - 3)*(2*v + 1)/2
Suppose -2*v + 3 = -1. Let a be (-4)/(-8) + 5/v. Let l(b) = -9*b**2 + 7*b - 6. Let o(z) = -z**2 + z - 1. Let k(j) = a*l(j) - 24*o(j). Factor k(p).
-3*(p - 1)*(p + 2)
Determine z so that -200/9*z**3 + 196/9*z**2 + 2/9*z**4 + 200/9*z - 22 = 0.
-1, 1, 99
Let q(i) be the second derivative of -i**6/60 + 9*i**5/40 - 9*i**4/8 + 9*i**3/4 + 76*i. Determine h, given that q(h) = 0.
0, 3
Factor 2*z**5 + 2694*z**2 + 2867*z**2 + 64*z**4 + 35*z**4 + 1536*z**3 - 3*z**4 + 2631*z**2.
2*z**2*(z + 16)**3
Let o(u) = u**3 + 8*u**2 - 3*u + 9. Let a be o(-8). Let -38*f**3 + 35*f**3 + 30*f**4 - a*f**4 = 0. What is f?
-1, 0
Factor 17/3 - 1/6*q**2 + 11/2*q.
-(q - 34)*(q + 1)/6
Let b be (-12)/(-34) + (0/11)/1. Find z, given that 0*z**2 - 2/17*z**3 + b*z + 4/17 = 0.
-1, 2
Suppose 4*g - 1 = t, -2*t + 3 = -g - 2*g. Let r(w) be the second derivative of 1/14*w**4 - 1/70*w**5 + 11*w - 4/7*w**2 + 0 + 0*w**t. What is o in r(o) = 0?
-1, 2
Let p = -216 - -231. Suppose 3*f = p*f + 4*f. Let f*w**3 + 8*w**4 - 1/4 - 9/4*w - 11/2*w**2 = 0. Calculate w.
-1/2, -1/4, 1
Suppose 8 = -2*l + 4*l. Suppose -l*d + 0*d = 0. Let -3/7*u**2 + d*u + 3/7 = 0. What is u?
-1, 1
Let s(v) be the third derivative of -4*v**5/15 + 5*v**4/2 + 8*v**3/3 + 87*v**2. Factor s(i).
-4*(i - 4)*(4*i + 1)
Let a(n) be the third derivative of 3*n**5/5 - 2*n**4 + 8*n**3/3 - 11*n**2 + 7*n. Factor a(z).
4*(3*z - 2)**2
Let a be 4/(-3*8/(-60)). Let b be (-3 + 5)/(4/a). What is k in -7*k**5 + 41*k**4 + 24*k**2 + 19*k**b - k**4 + 48*k**3 + 4*k = 0?
-1, -1/3, 0
Find s, given that 67/3*s**2 + 4489/3*s + 1/9*s**3 + 300763/9 = 0.
-67
Let s = 13439 + -13435. Factor -9/5*n - 4/5*n**s + 0 - 1/5*n**5 + 2/5*n**3 + 12/5*n**2.
-n*(n - 1)**2*(n + 3)**2/5
Let f(i) = 16*i**3 - 436*i**2 + 860*i - 440. Let y(q) = q**3 - 1. Let g(c) = -f(c) + 12*y(c). Determine p, given that g(p) = 0.
1, 107
Let j(l) = -52*l**2 - 3028*l + 2920. Let m(x) = 