rmine o, given that a(o) = 0.
0, 1/3
Let -13448/7 - 1154*u**4 - 66674/7*u**2 + 168134/7*u**3 - 80032/7*u + 14*u**5 = 0. What is u?
-2/7, 1, 41
Let z(n) be the first derivative of -2/21*n**3 + 1/7*n**2 - 12 + 0*n. Factor z(s).
-2*s*(s - 1)/7
Suppose -27*o = o. Suppose -3*x - 13*x = o. Factor 0*c + x + 2/3*c**2 + c**3 + 1/3*c**4.
c**2*(c + 1)*(c + 2)/3
Let i(h) be the second derivative of -h**7/273 + 14*h**6/195 - h**5/10 + 45*h. Let i(f) = 0. What is f?
0, 1, 13
Suppose -8*o + 15 = -3*o. Suppose -2*x + 4 = -n - 0*n, -o*n = -4*x + 12. Factor 1/3*d + x*d**3 - 2/3*d**2 - 1/3*d**5 + 0 + 2/3*d**4.
-d*(d - 1)**3*(d + 1)/3
Suppose -14 = -2*c - 10. Factor m**c - 12*m - 12 - 5*m**2 + m**2.
-3*(m + 2)**2
Let j(x) = 7*x**2 - 16*x - 23. Suppose -5*o + 20 = -d, -d + 6*d + 25 = 0. Let u(l) = -64*l**2 + 144*l + 208. Let b(f) = o*u(f) + 28*j(f). Factor b(i).
4*(i - 5)*(i + 1)
Let d = 828 + -828. Let x(n) be the second derivative of d*n**3 - 2/39*n**4 + 0 - 8*n - 2/65*n**5 + 0*n**2 - 1/195*n**6. Factor x(q).
-2*q**2*(q + 2)**2/13
Let i(w) = -23*w - 20. Let m be i(-1). Factor 3/8*a**2 + 1/8 - 1/8*a**m - 3/8*a.
-(a - 1)**3/8
Let l = 24690 - 4320592/175. Let f = l + 6/25. Let 12/7*h**4 + 0 - 2/7*h**5 - f*h + 24/7*h**2 - 26/7*h**3 = 0. What is h?
0, 1, 2
Let w(l) be the second derivative of -l**5/35 + 4*l**4/7 - 32*l**3/7 + 128*l**2/7 + 314*l. Factor w(z).
-4*(z - 4)**3/7
Let y = -7 + 12. Suppose 2*c + 13 = 6*c + y*o, 0 = 3*c - o - 5. Let -v**c + 3*v**2 - 2*v + 8*v = 0. What is v?
-3, 0
Let c be 2 + (-2 - 6)/4. Let q(a) be the second derivative of -1/9*a**3 + a + c*a**2 + 0 + 11/36*a**4. Let q(y) = 0. Calculate y.
0, 2/11
Let q be 9 - 2175/315 - ((-4)/(-42))/1. Find a, given that 1/3*a**3 + 1/3*a**5 - a**q - 2/3*a + 0 + a**4 = 0.
-2, -1, 0, 1
Factor 104/7*j**3 + 18/7*j + 96/7*j**2 + 32/7*j**4 + 0.
2*j*(2*j + 3)**2*(4*j + 1)/7
Suppose -6*o - 90 = -11*o. Factor 2*g**3 + 2*g**3 + o*g**2 - 14*g**2.
4*g**2*(g + 1)
Let n(k) = 5*k + 8. Let y be n(-7). Let s be y/(-18) - 3/(-2). What is w in w - 4*w**s + 5 - 1 - 4*w**2 + w + 2*w = 0?
-1, 1
Let u(r) = r**5 - r**4 + r**3 + r**2 + r - 1. Let z(j) = 9*j**5 + 16*j**4 - 56*j**3 + 14*j**2 + 59*j - 34. Let v(b) = 4*u(b) - z(b). Factor v(s).
-5*(s - 1)**3*(s + 1)*(s + 6)
Let i = 1182 + -9455/8. Let q(l) be the third derivative of 0*l + l**2 + 1/70*l**7 + i*l**4 + 3/40*l**6 + 0*l**3 + 0 + 3/20*l**5. Let q(u) = 0. What is u?
-1, 0
Suppose 4*a + a - 4*o = 19, 5*o = 3*a - 1. Let k be a/(49/3) + 1. Suppose -6/7*d**5 + 4/7 - 20/7*d**3 + k*d - 20/7*d**4 + 0*d**2 = 0. Calculate d.
-1, 2/3
Let z(o) be the second derivative of o**5/10 + 17*o**4/12 + 4*o**3/3 - 217*o. Factor z(d).
d*(d + 8)*(2*d + 1)
Let v(f) be the third derivative of f**7/140 + 31*f**6/80 + 297*f**5/40 + 605*f**4/16 - 1331*f**3/2 + 68*f**2. Suppose v(s) = 0. Calculate s.
-11, 2
Let f(g) = 4*g**2 - 25*g + 13. Let r(v) = 9*v**2 - 54*v + 23. Let i(j) = 7*f(j) - 3*r(j). Factor i(w).
(w - 11)*(w - 2)
Let g(a) be the first derivative of 5/2*a**6 - 30*a**2 + 31*a**3 - 39/4*a**4 + 5 + 12*a - 21/5*a**5. Factor g(z).
3*(z - 1)**3*(z + 2)*(5*z - 2)
Let w(i) be the second derivative of 1/3*i**6 + 4/63*i**7 - 1/3*i**2 + 0*i**3 + 7*i + 5/9*i**4 + 2/3*i**5 + 0. Factor w(a).
2*(a + 1)**4*(4*a - 1)/3
Determine p, given that -109*p**3 + 4*p**3 + 10 - 95*p**3 + 45*p**2 + 65*p + 80*p**4 = 0.
-1/4, 1, 2
Let m(p) be the third derivative of -p**8/252 - 2*p**7/105 - p**6/30 - p**5/45 - 6*p**2 - 4. Factor m(o).
-4*o**2*(o + 1)**3/3
Let k = -49048/95 + 2582/5. Find w, given that -2/19*w**4 + 0 - k*w**3 + 0*w + 4/19*w**2 = 0.
-2, 0, 1
Let o be (-316)/(-140) - 4/10 - (94 + -93). Suppose 2/7*k**2 - o - 4/7*k = 0. What is k?
-1, 3
Let z(h) = -29*h**4 - 61*h**3 - 11*h**2 + 10*h - 5. Let u(x) = 15*x**4 + 31*x**3 + 5*x**2 - 6*x + 3. Let y(l) = 5*u(l) + 3*z(l). What is f in y(f) = 0?
-2, -1/3, 0
Let h(s) = -874*s - 1748. Let o be h(-2). Let 0 - 2/5*d**2 + o*d - 1/5*d**3 = 0. What is d?
-2, 0
Let h(b) be the third derivative of b**5/60 - b**4/6 - b**3/6 + 10*b**2. Let r be h(-1). Solve -2*d**r - 3*d**4 + 292*d**3 - 292*d**3 = 0 for d.
0
Let z = 6 + -3. Suppose -5*r - 90 = -5*d, 4*d = z*r - 21 + 93. Factor d*x**5 + 5*x**2 + 9*x**5 - 27*x**4 - x**2 + 0*x**5.
x**2*(3*x - 2)**2*(3*x + 1)
Let r(o) = 6*o**4 - 10*o**3 + 4*o**2 - 2*o. Let c(y) = -y**4 + y**3 + y. Let f = -12 + 11. Let q(k) = f*r(k) - 2*c(k). Determine v so that q(v) = 0.
0, 1
Let h(t) = 20*t**3 + 355*t**2 + 5*t + 5. Let d(q) = 11*q**3 + 178*q**2 + 3*q + 3. Let l(w) = 5*d(w) - 3*h(w). What is r in l(r) = 0?
-35, 0
Let w be 1 - ((-3)/6 - (3 - (-3)/(-6))). Factor 0 + 0*o + 2/7*o**w - 2/7*o**3 + 0*o**2.
2*o**3*(o - 1)/7
Let 1/5*g**5 + 32/5 + 11/5*g**4 + 92/5*g**2 + 46/5*g**3 + 88/5*g = 0. What is g?
-4, -2, -1
Let r be 2/(-5) - (-2240)/350. Let w(y) be the second derivative of 0*y**3 - 3/20*y**5 + 2*y + 0*y**2 + 0*y**4 + 1/10*y**r + 0. Suppose w(u) = 0. Calculate u.
0, 1
Let -171 - 34*b**2 + 10 + 17 - 38*b**2 + 192*b + 3*b**4 = 0. Calculate b.
-6, 2
Factor 1/2*n**2 - 11/2 + 5*n.
(n - 1)*(n + 11)/2
Let b(d) be the third derivative of -d**5/12 + 15*d**4/4 - 26*d**2 - d. Factor b(n).
-5*n*(n - 18)
Let r(k) be the third derivative of -3*k**7/70 + k**6/8 + 61*k**5/30 + 11*k**4/2 + 20*k**3/3 + 550*k**2. Factor r(y).
-(y - 5)*(y + 2)*(3*y + 2)**2
Let u(q) = -39*q + 511. Let n be u(13). Solve 0*i**2 - 4/7*i**3 + 4/7*i + 2/7 - 2/7*i**n = 0.
-1, 1
Let u(j) be the first derivative of -j**4/4 + 4*j**3/3 + 136. Determine x so that u(x) = 0.
0, 4
Let f(i) be the third derivative of i**7/455 - i**6/39 + 8*i**5/65 - 4*i**4/13 + 16*i**3/39 + 914*i**2. Factor f(t).
2*(t - 2)**3*(3*t - 2)/13
Let -6/5*t**2 - 11/5*t - 1/5*t**3 - 6/5 = 0. Calculate t.
-3, -2, -1
Determine m, given that -49298/3 - 2/3*m**2 + 628/3*m = 0.
157
Suppose -2*i = 4*s - 24, 12*s = -5*i + 17*s - 15. Let 2 - 5/3*z**5 - 28/3*z**4 - 16*z**3 + 5/3*z - 26/3*z**i = 0. What is z?
-3, -1, 2/5
Let g(l) = l**3 - 9*l**2 - 7*l. Let s be g(10). Suppose 2*o + 25 = 7*o, 5*z + 4*o - s = 0. Let -46 + 16*h**z - 18*h**2 + 14 + 16*h = 0. What is h?
4
Let c(v) be the first derivative of 2*v**3 - 4*v - 20. Let z(w) = -w**2 - 2*w + 1. Let g(t) = -c(t) - 4*z(t). Factor g(q).
-2*q*(q - 4)
Let r(w) = w**2 + 4*w + 6. Let t be r(-3). Let -9*z**3 - 3*z**3 - 26*z**2 + 14*z**2 + 9*z**t = 0. Calculate z.
-4, 0
Let w(x) be the second derivative of 4*x + 0*x**4 + 0*x**3 + 1/20*x**5 + 0 + 0*x**2 + 1/10*x**6. Let w(a) = 0. What is a?
-1/3, 0
Let q be ((-234)/(-1170))/(0 + 6/10). Suppose -16/3 - q*p**3 - 8/3*p + 7/3*p**2 = 0. What is p?
-1, 4
Let u = -10 - -15. Find d, given that 2*d**2 + 5*d - u + 23 + 7*d = 0.
-3
Let d(u) = -u**2 - 2*u + 51. Suppose 0 = 8*i - 9 + 73. Let m be d(i). What is k in 1/7*k**m + 1/7 - 1/7*k - 1/7*k**2 = 0?
-1, 1
Solve -7/4*z + 1/4*z**2 + 3/2 = 0 for z.
1, 6
Let o(b) = -b**2 - 3*b + 2. Suppose -2*s + 25 = 3*d, 3*d + 2*s - 5*s - 15 = 0. Let n(z) = 4*z**2 + 9*z - 7. Let f(m) = d*o(m) + 2*n(m). Let f(a) = 0. What is a?
0, 3
Let g(l) be the first derivative of -l**3/24 + l**2/8 - l/8 + 106. Determine i so that g(i) = 0.
1
Let x(i) be the second derivative of i**4/21 + 8*i**3/7 + 22*i**2/7 + 15*i + 6. Find p, given that x(p) = 0.
-11, -1
Let m(q) = -q**3 + q**2 - q - 1. Let d(h) be the third derivative of -h**6/60 + h**5/20 - h**4/8 - h**3/2 - 9*h**2. Let f(k) = -2*d(k) + 6*m(k). Factor f(r).
-2*r**3
Let b(g) = 2*g**3 - 3*g**2 - 8*g. Let k(q) = -6*q**3 - 23*q - 8*q**2 + 10*q**3 + 4*q**3 - q**3. Let n(h) = 8*b(h) - 3*k(h). Solve n(y) = 0.
-1, 0, 1
Let q be (26/56)/(-13) + 24/84. Factor -q*p**2 + p - 1.
-(p - 2)**2/4
Let 0 + 18/5*x**2 - 4/5*x + 2*x**3 = 0. Calculate x.
-2, 0, 1/5
Let h(w) = w**2 - 24*w + 99. Let a be h(19). Solve -8/11 - 18/11*k**2 + 6/11*k**a - 4/11*k**3 + 24/11*k = 0 for k.
-2, 2/3, 1
Let y(k) = -4*k**3 + 13*k**2 - 5. Let v(a) = 5*a**3 - 14*a**2 + 6. Let f(n) = 5*v(n) + 6*y(n). Determine w so that f(w) = 0.
-8, 0
Let d(o) = 7*o**2 - 106*o - 36. Let z(t) = t**2 - 2*t - 6. Let h(g) = d(g) - 6*z(g). Factor h(u).
u*(u - 94)
What is n in -18/5 - 1/10*n**2 - 6/5*n = 0?
-6
Factor -28*b**2 + 4*b**2 - 24 + 4*b + 23*b**2 + 5*b**2.
4*(b - 2)*(b + 3)
Let h(f) be the first derivative of -f**8/11760 + f**7/2940 + f**6/2520 - f**5/420 - 10*f**3/3 - 18. Let o(t) be the third derivative of h(t). Factor o(d).
-