 + b - 3*b**k + 8 - 2*b**3 + b**5 + b**4 = 0. What is b?
-1, 1
Suppose 0 = 2*m + 2*s - s - 9, -5*s + 5 = 0. Factor -5 - 4*y + 4*y**3 - 2*y**4 + 5*y**2 + 7*y**2 - 1 - m*y**2.
-2*(y - 3)*(y - 1)*(y + 1)**2
Let s(q) be the third derivative of -q**9/90720 + q**8/30240 + q**7/1260 + q**5/3 - q**2. Let d(n) be the third derivative of s(n). Let d(l) = 0. Calculate l.
-2, 0, 3
Let o be (136/(-22) - -6)/((-1)/(-22)*-8). Factor 0 + o*i**5 - 2/3*i**4 - 1/6*i**3 + 0*i + 1/3*i**2.
i**2*(i - 1)**2*(3*i + 2)/6
Let s be 1006/(-3018)*((-1)/(-2))/((-1)/12). Solve 0 - 16/5*r**3 + 64/5*r**s + 1/5*r**4 + 0*r = 0.
0, 8
Let k(d) = -d**3 - d**2. Let y(f) = -5*f**4 + 15*f**3. Let l(r) = -5*k(r) - y(r). What is z in l(z) = 0?
0, 1
Suppose -2*v = -4*u, -v + 6*v - 5 = 5*u. Suppose 0 = -6*x + v*x + 12. Factor -3*k**3 + k**x + 4*k**2 + 4*k**3 - 2*k**2.
2*k**2*(k + 1)
Let s(a) be the first derivative of -15/2*a**2 + 0*a - 5 - 8*a**5 + 5/2*a**4 + 35/3*a**3. Suppose s(h) = 0. Calculate h.
-1, 0, 1/2, 3/4
Let i(l) = 7*l**5 + 4*l**4 - 4*l**3 - 13*l**2 + 2*l + 9. Let k(c) = 10*c**5 + 6*c**4 - 6*c**3 - 19*c**2 + 3*c + 13. Let d(j) = 7*i(j) - 5*k(j). Factor d(b).
-(b - 1)**2*(b + 1)**2*(b + 2)
Let y(r) = 2*r + 28. Let t be y(-15). Let q be t/(-11) + (-320)/(-55). Factor -h - 4 + 2*h**2 - q*h - 4 + h.
2*(h - 4)*(h + 1)
Let r = -138 + 418/3. Let l be (-1 + 2)/(7/21). Determine d, given that 0*d**l - 2/3*d**5 - r*d**4 + 4/3*d**2 + 2/3*d + 0 = 0.
-1, 0, 1
Let o(l) be the first derivative of 0*l + 36 - 15/2*l**2 - 6*l**3 - 3/4*l**4. Factor o(p).
-3*p*(p + 1)*(p + 5)
Factor 10 + 5/4*y**3 - 5*y - 5/2*y**2.
5*(y - 2)**2*(y + 2)/4
Let b(j) be the second derivative of 3*j**5/160 + 55*j**4/32 + 79*j**3/8 + 39*j**2/2 + 748*j. Factor b(q).
3*(q + 1)*(q + 2)*(q + 52)/8
Let h be (40/32)/5 + 73/28. Let a be (16/(-3))/(329/(-564)). Find z such that 16/7 + h*z**2 - 4*z**3 + a*z = 0.
-1, -2/7, 2
Let a(k) = 2*k**3 - k**2 - k + 1. Let q(b) = b**4 - 32*b**3 + 34*b**2 - 3*b - 9. Let g(y) = -18*a(y) - 2*q(y). Factor g(i).
-2*i*(i - 12)*(i - 1)**2
Let f(l) = -l**2 - 2*l - 5. Let t(b) = 2*b**2 + b + 1. Let z(u) = f(u) + 2*t(u). Suppose z(c) = 0. Calculate c.
-1, 1
Determine w so that 0 + 8/5*w + 2/5*w**3 - 8/5*w**2 = 0.
0, 2
Let k(g) be the first derivative of -1/34*g**4 - 3/17*g**2 - 18/17*g + 2 + 10/51*g**3. Solve k(d) = 0.
-1, 3
Let i(j) be the third derivative of -j**8/6720 - j**7/840 - j**6/240 - j**5/120 - j**4/24 - 15*j**2. Let f(a) be the second derivative of i(a). Factor f(s).
-(s + 1)**3
Factor 0*j + 2/9*j**4 + 0 - 10/9*j**2 + 8/9*j**3.
2*j**2*(j - 1)*(j + 5)/9
Let b be (-44)/10 - 2/(-5). Let w(o) = -o - 2. Let c be w(b). Factor 0 - 7/4*h**4 - 5/4*h**c - 1/4*h - 1/2*h**5 - 9/4*h**3.
-h*(h + 1)**3*(2*h + 1)/4
Let z(x) be the first derivative of -2*x**5/75 + x**4/10 - 2*x**3/15 + x**2/15 + 81. Let z(j) = 0. What is j?
0, 1
Let f(k) be the first derivative of 9*k**5/10 + 47*k**4/8 + 23*k**3/3 + 2*k**2 - 462. Find i such that f(i) = 0.
-4, -1, -2/9, 0
Let z be (0 - 0)/((-12)/(-204)*68). Factor 0*j**2 + 2/3*j**3 + 0 + z*j + 3/2*j**5 + 2*j**4.
j**3*(3*j + 2)**2/6
Let v = -7 - -16. Factor -t + v - 4 + t**2 - 5.
t*(t - 1)
Let l(o) be the third derivative of 42*o**2 + 0*o + 169/36*o**3 + 0 + 1/360*o**5 + 13/72*o**4. Let l(x) = 0. Calculate x.
-13
Suppose 0 = 4*t + 4*a - 68, -4*t + 0*a - 5*a + 69 = 0. Find m such that -t*m**4 + 58*m**2 + 4*m**3 - 4*m**5 - 10*m**2 - 36*m + 7*m**3 - 3*m**3 = 0.
-3, 0, 1
Factor 328*n**3 + 47352 - 4*n**4 - 126084 + 16709*n + 70771*n - 9072*n**2.
-4*(n - 27)**3*(n - 1)
Suppose 9*s = 3*f + 4*s + 37, 2*s = f + 13. Let o(i) = i**3 + 8*i**2 - 9*i + 5. Let k be o(f). Factor 3 + 3*u + u**k - 12*u**2 + 2*u**5 - 12*u**4 + 18*u**3 - 3.
3*u*(u - 1)**4
Let h(j) = -3*j**5 - 11*j**4 - 12*j**3 - 6*j**2 + 4*j - 3. Let a(v) = 7*v**5 + 24*v**4 + 25*v**3 + 11*v**2 - 7*v + 5. Let r(k) = 3*a(k) + 5*h(k). Factor r(p).
p*(p + 1)**3*(6*p - 1)
Let j = -33 + 15. Let p be 78/j + 4 + 2/6. Let -i + 0 + 3/2*i**2 - 1/2*i**4 + p*i**3 = 0. What is i?
-2, 0, 1
Let t(s) = 5*s**2 - 2*s - 3. Let n(l) = 4*l**2 - l - 3. Let o(i) = -4*n(i) + 3*t(i). Let o(f) = 0. Calculate f.
-3, 1
Let x = 142 - 191. Let z be (-4)/(-14) - 21/x. Suppose -3/7*a + 2/7 - 2/7*a**5 + 3/7*a**4 + 5/7*a**3 - z*a**2 = 0. What is a?
-1, 1/2, 1, 2
Suppose 3*f + 1680 = 11*f. Let z be (-14)/(-49) + -3*(-8)/f. Factor -4/5*p**3 + 0 + 2/5*p**5 + 0*p + 0*p**2 + z*p**4.
2*p**3*(p - 1)*(p + 2)/5
Let l = 53/114 - -2/57. Let v be 2/(-4 + 28/6). Find k such that l*k**2 + 1/3 - 1/6*k**v + 5/6*k - 1/6*k**4 = 0.
-1, 2
Let i(z) = 3*z - 40 + 0*z - 23 - 8. Let t be i(25). Suppose 0 + 1/2*m**2 + m**3 + 1/2*m**t + 0*m = 0. What is m?
-1, 0
Let h = 80 + -80. Suppose h = -20*l + 5*l. Determine u so that -2/3*u**3 + 0 - 2/3*u**4 + l*u**2 + 0*u = 0.
-1, 0
Let m = -2585 + 542851/210. Let j(y) be the second derivative of 0 - 4/21*y**3 + 0*y**2 - m*y**6 - 1/7*y**4 - 3/70*y**5 - y. Factor j(d).
-d*(d + 2)**3/7
Let i(n) be the third derivative of -5/18*n**4 - 1/60*n**5 - 9*n**2 + 47/360*n**6 - 2/9*n**3 + 0 - 2/63*n**7 + 0*n. Find d such that i(d) = 0.
-2/5, -1/4, 1, 2
Let c be 643/28 + 506/184. Determine z so that c*z**2 - 132/7*z**4 - 48/7 + 4*z**5 - 128/7*z + 100/7*z**3 = 0.
-1, -2/7, 1, 2, 3
Let v(k) = 2*k**4 - 6*k**3 - 8*k**2 + 6. Let h(m) = -10*m**4 + 30*m**3 + 40*m**2 - 28. Let i(c) = 6*h(c) + 28*v(c). Factor i(a).
-4*a**2*(a - 4)*(a + 1)
Let k(s) be the first derivative of s**6/72 - 5*s**5/12 - 14*s**3 + 60. Let q(u) be the third derivative of k(u). Factor q(j).
5*j*(j - 10)
Suppose 2*b = -b + 48. Factor b*f**2 + 9*f**2 - 66*f + 363 - 22*f**2.
3*(f - 11)**2
Let f = -1/12118 - -24239/36354. Factor 8/3*q - f*q**4 + 10/3*q**3 - 16/3*q**2 + 0.
-2*q*(q - 2)**2*(q - 1)/3
Suppose 0 = -2*i - 0*i + 4. Suppose 4*y**i - 6*y**5 + 5*y**3 - 2*y**4 + 8*y**5 + 2*y - 5*y**3 - 2 - 4*y**3 = 0. Calculate y.
-1, 1
Let m(u) be the first derivative of u**3/9 - 3*u**2/2 - 22*u/3 + 22. Determine d so that m(d) = 0.
-2, 11
Let y(k) be the second derivative of k**5/4 - 455*k**4/4 + 30825*k**3/2 + 93845*k**2/2 - 800*k - 2. Find o, given that y(o) = 0.
-1, 137
Factor -20/3*v + 2/3*v**2 + 6.
2*(v - 9)*(v - 1)/3
Let u(l) = l**3 - 5*l**2 + 5*l - 2. Let b be u(4). Suppose b*w - 6*w + 32 = -2*i, -2*i = 4. Factor 4*q + w + 13*q - 4*q**2 - 23 - q.
-4*(q - 2)**2
Let o(c) be the second derivative of -c**4/6 + 26*c**3 - 1521*c**2 - 216*c. Determine a, given that o(a) = 0.
39
Let v(n) = n**3 + n**2 + n + 22. Let t be v(0). Let g be t/6 - 7/(-21). Solve 0*o**4 - 6*o**4 + 4*o**g + o**4 = 0.
0
Solve -30*x**3 - 21*x**5 - 138*x**3 - 126*x + 507*x**2 - 9*x**3 - 183*x**4 = 0.
-7, -3, 0, 2/7, 1
Let v(x) be the first derivative of x**4/14 + 2*x**3/7 - 16*x**2/7 + 24*x/7 + 422. Factor v(b).
2*(b - 2)*(b - 1)*(b + 6)/7
Let h(p) be the second derivative of -1/10*p**6 + 0*p**2 - 6/25*p**5 + 0*p**3 - 1/5*p**4 - 1/70*p**7 + 0 + 10*p. Factor h(n).
-3*n**2*(n + 1)*(n + 2)**2/5
Let j be -6 + 2 + (-1 - -7). Find x, given that -1 + 21 - 15*x + j*x**2 - x - 6*x**2 = 0.
-5, 1
Let m be 9/36*24/15. Let g(i) be the first derivative of i**4 - 3 + 0*i**2 + 2/3*i**3 + 0*i + m*i**5. Suppose g(f) = 0. What is f?
-1, 0
Let o(c) be the third derivative of -c**9/5040 - c**8/560 - c**4/6 - 33*c**2. Let d(g) be the second derivative of o(g). Factor d(a).
-3*a**3*(a + 4)
Suppose 0 = -6*h + 18*h. Suppose 2/13*i**3 + 0 - 2/13*i**2 + h*i = 0. Calculate i.
0, 1
Let r(c) be the second derivative of -c**6/135 - c**5/45 + c**4/54 + 2*c**3/27 - 7*c - 1. Factor r(v).
-2*v*(v - 1)*(v + 1)*(v + 2)/9
Let a(f) = 7*f**4 + 50*f**3 + 36*f**2 + 13*f. Let m(d) = 3*d**4 + 26*d**3 + 18*d**2 + 7*d. Let h(q) = -3*a(q) + 5*m(q). Suppose h(n) = 0. Calculate n.
-2, -1, -1/3, 0
Let u(a) be the second derivative of 6*a**4 + 1/10*a**6 + 15*a - 6/5*a**5 + 0 - 16*a**3 + 24*a**2. Factor u(i).
3*(i - 2)**4
Suppose 2582 = 19*o + 2544. Factor -2/7*r**o + 2/7*r + 0.
-2*r*(r - 1)/7
Let w(r) = -11*r**3 - 35*r**2 - 25*r + 71. Let g(o) = 7*o**3 + 23*o**2 + 17*o - 47. Let z(h) = 8*g(h) + 5*w(h). Determine t so that z(t) = 0.
-7, -3, 1
Factor -3 + 16 - 40*s + 21*s**2 + 3 - 9*s**3 + 12*s**2.
-(s - 1)*(3*s - 4)**2
Suppose -3*u + 8*u - 10 = 0. Let g(p) = -p - 4. Let v be g(-6). Solve 2*i - 10*i**2 + 4*i**3 + v*i + u*i**2 = 0 for i.
0, 1
Let n(h) = -h**3 - 13*h**2 + 13*h - 8. Le