iven that -6*k**3 + k**3 - k**3 + 2*k**5 - 4*k**r = 0.
-1, 0, 2
Let k be (4/(-7))/(18/(-63)). Suppose 2*l**k + 0*l + l**5 + 4*l**3 + 2*l - 5*l - 2 - 2*l**5 = 0. Calculate l.
-1, 1, 2
Let a(w) = -w**3 - 5*w**2 + 2*w + 6. Let h be a(-6). Let v be 8/21 + h/105. Factor v - g + 1/3*g**2.
(g - 2)*(g - 1)/3
Let g(z) = -5*z - 1. Let k be g(1). Let u be 4/k*-3 - 1. Suppose -4*l**2 - 2*l**2 - 4*l**2 - u + 7*l**2 + l**3 + 3*l = 0. Calculate l.
1
Factor -24/7 + 3/7*r**2 - 6/7*r.
3*(r - 4)*(r + 2)/7
Suppose 0 = 11*f - 8*f - 9. Let x(u) be the first derivative of 2*u - 3/5*u**5 - u**3 - f - 7/4*u**4 + 3/2*u**2. Factor x(j).
-(j + 1)**3*(3*j - 2)
Let a(y) = 2*y**2 - 4*y - 1. Let v(t) = t**2 + 1. Let h be ((-9)/(-6))/((-2)/4). Let c(l) = h*v(l) + a(l). Suppose c(o) = 0. Calculate o.
-2
Let f(w) be the third derivative of 0*w + 7*w**2 - 1/840*w**8 + 0*w**4 + 0*w**3 + 4/525*w**7 + 0 + 1/75*w**5 - 1/60*w**6. Let f(n) = 0. Calculate n.
0, 1, 2
Let j(v) be the first derivative of 1/10*v**4 + 2/25*v**5 - 1/5*v**2 - 2/15*v**3 + 0*v + 3. Determine d, given that j(d) = 0.
-1, 0, 1
Let w(a) be the third derivative of -a**8/1680 - a**7/840 + a**3/2 - 2*a**2. Let y(u) be the first derivative of w(u). Find m, given that y(m) = 0.
-1, 0
Let g(m) = m**3 - 14*m**2 + 12*m + 16. Let a be g(13). Suppose -4*d - 3*o = 4, -a*d + 0*o = 4*o + 10. Factor 2/5 - 4/5*c + 2/5*c**d.
2*(c - 1)**2/5
Let o(v) be the first derivative of -v**3/3 - 4*v**2 - 16*v - 1. Factor o(t).
-(t + 4)**2
Suppose 5*l - 2*l - 2 = -4*g, -4*g - 4*l = 0. Let j(d) be the first derivative of 0*d + 1/5*d**g - 1 - 1/10*d**4 + 0*d**3. Factor j(c).
-2*c*(c - 1)*(c + 1)/5
Let t(b) be the third derivative of b**7/1680 - b**6/360 - 4*b**3/3 - b**2. Let f(p) be the first derivative of t(p). Suppose f(c) = 0. Calculate c.
0, 2
Suppose -3*m + 2 = -t - 3, -3*t - 2*m = -18. Suppose -f + 3*q = -3, t*f + 2*q = 4*q + 12. Factor -2/9*n**2 + 2/9*n**f + 0*n + 0.
2*n**2*(n - 1)/9
Factor -4*u - 26*u + 18 + 0*u + 2*u**3 + 14*u**2 - 4*u**3.
-2*(u - 3)**2*(u - 1)
Let x be (0/(-1))/(-4 - -3). Let z(l) be the third derivative of l**2 - 1/30*l**4 + 2/15*l**3 + x + 1/300*l**5 + 0*l. Factor z(d).
(d - 2)**2/5
Let x(u) be the second derivative of 0 + 1/24*u**4 - 1/18*u**3 + 0*u**2 - 1/120*u**5 - u. Factor x(b).
-b*(b - 2)*(b - 1)/6
Factor 0*h**2 + 0 + 1/6*h**3 - 1/6*h.
h*(h - 1)*(h + 1)/6
Let b be -2*(-3)/(-2) + 100/20. Factor 0 + 2/7*h**b + 0*h.
2*h**2/7
Let h(l) = -3*l**3 - 5*l - l**2 - 5*l**2 + 2*l**3. Let s be h(-5). What is j in -2/5*j**2 + 2/5*j + s = 0?
0, 1
Let i(p) be the second derivative of -p**4/24 + 3*p. Factor i(r).
-r**2/2
Let h(w) = w**2 + 5*w + 5. Let k be h(-6). Let m(s) = -5*s**2 + 2*s + 1. Let r(u) = 9*u**2 - 4*u - 2. Let z(d) = k*m(d) + 6*r(d). Solve z(n) = 0 for n.
-1
Let f(h) be the third derivative of -3*h**5/4 - 10*h**4/3 + 10*h**3/3 - 7*h**2. Let f(o) = 0. Calculate o.
-2, 2/9
Let a(n) be the third derivative of -6*n**7/7 + 2*n**6/5 - 4*n**5/75 + 13*n**2. Solve a(y) = 0 for y.
0, 2/15
Let i(x) be the first derivative of 1/12*x**3 - 2*x + 1/24*x**4 + 3 + 0*x**2. Let f(l) be the first derivative of i(l). Find a such that f(a) = 0.
-1, 0
Let u be 2/(-5) - (-36)/30. Determine h so that -6/5*h + 2*h**2 - u = 0.
-2/5, 1
Let r(i) = -9*i. Let y be r(1). Let c = 11 + y. Determine k so that 0 + 1/2*k**3 + 1/2*k - k**c = 0.
0, 1
Let d be 39/(-6) + 3 - -4. Determine w, given that -1/2 - w - d*w**2 = 0.
-1
Let r(i) be the third derivative of 6*i**7/35 + i**6/5 - 4*i**5/3 + 4*i**4/3 + 12*i**2. Factor r(u).
4*u*(u + 2)*(3*u - 2)**2
Let h(w) be the third derivative of -2*w**2 + 0*w**4 + 0 - 1/60*w**5 - 1/120*w**6 + 0*w**3 + 0*w. Find i such that h(i) = 0.
-1, 0
Factor 0 + 3/2*v**2 - 3/4*v - 3/4*v**3.
-3*v*(v - 1)**2/4
Suppose 5*b + 2 = -5*m + 12, -2*b + 4*m = -4. Factor b + 1/2*n**2 - 2*n.
(n - 2)**2/2
Factor -4 + 2 + p**2 + 6 + p**2 - 6*p.
2*(p - 2)*(p - 1)
Let z(h) be the first derivative of -2*h**5/95 - 3*h**4/38 - 63. Find i such that z(i) = 0.
-3, 0
What is d in 1/10*d**2 - 3/10*d - 2/5 = 0?
-1, 4
Let l(a) = -a**3 + 4*a**2 + 6*a - 3. Let v be l(4). Suppose -5*h = 2*d - v, d - 3 = 2*h - 2*d. Suppose h*n**3 - n**3 - n**3 - 3*n**3 = 0. Calculate n.
0
Let n(r) = -15*r**2 + 11*r - 31. Let i(q) = 7*q**2 - 5*q + 15. Let g(j) = 13*i(j) + 6*n(j). Let u be g(0). Let 6 + 3*k + k**2 - 2 + k**2 - u*k = 0. Calculate k.
1, 2
Let c(t) be the first derivative of t**6/120 + t**5/40 + t**3/3 - 5. Let v(q) be the third derivative of c(q). Factor v(d).
3*d*(d + 1)
Suppose 2/17 + 2/17*r**3 - 2/17*r - 2/17*r**2 = 0. Calculate r.
-1, 1
Let d(o) be the first derivative of o**4/4 - o**3/2 - 2*o - 4. Let b(u) be the first derivative of d(u). Factor b(j).
3*j*(j - 1)
Let p be ((-8)/12)/(1/(-3)). What is b in -4*b + 8*b**2 + 4 + p*b + 2*b**3 + 12*b = 0?
-2, -1
Determine f so that -2 - 2/9*f**2 + 4/3*f = 0.
3
Let p(c) = 10*c**2 - 5*c + 6. Let q(x) = 3*x**2 - 2*x + 2. Let v(w) = -2*p(w) + 7*q(w). Let m be v(4). Factor 0 + 1/2*z**4 + 1/4*z**3 + 1/4*z**5 + 0*z**m + 0*z.
z**3*(z + 1)**2/4
Let r(s) be the first derivative of s**6/24 + s**5/5 - s**4/8 - s**3 + 9*s**2/8 + 31. Solve r(l) = 0.
-3, 0, 1
Let i(l) be the second derivative of -1/3*l**3 - 1/10*l**6 + 1/42*l**7 + 0 + 2*l + 0*l**2 + 1/4*l**4 + 1/20*l**5. Factor i(o).
o*(o - 2)*(o - 1)**2*(o + 1)
Suppose 4*y - 9 = -c - 0*c, 0 = -2*y - 2*c + 6. What is o in -2/5*o**y + 4/5 - 2/5*o = 0?
-2, 1
Suppose 0 = 2*v - 2*k, 0 = v - 2*v - 4*k + 15. Factor 1/3*h**2 + 0 + 2/3*h**4 + 7/6*h**v - 1/6*h.
h*(h + 1)**2*(4*h - 1)/6
Let v(t) be the third derivative of -t**7/3780 + t**6/324 - 2*t**5/135 + t**4/27 - t**3/3 + 4*t**2. Let x(w) be the first derivative of v(w). Factor x(b).
-2*(b - 2)**2*(b - 1)/9
Solve 84/5*t**3 - 21/5*t**5 + 24/5*t**2 + 0 + 0*t - 6/5*t**4 = 0.
-2, -2/7, 0, 2
Let v(s) be the second derivative of s**8/840 - s**7/210 + s**6/180 - s**3/3 + s. Let k(w) be the second derivative of v(w). Factor k(q).
2*q**2*(q - 1)**2
Let i be -4 + (-2)/(126/(-255)). Let b(m) be the third derivative of 0 - 1/420*m**6 + 0*m - i*m**3 + 1/84*m**4 - m**2 + 1/210*m**5. Find p, given that b(p) = 0.
-1, 1
Let y = 3706/5 + -741. Let 2/5*b**3 - y*b**2 - 1/5*b**4 + 0*b + 0 = 0. Calculate b.
0, 1
Let j(z) be the third derivative of -1/40*z**6 - 1/5*z**5 + 0*z - 5/8*z**4 + 0 - 2*z**2 - z**3. Determine l so that j(l) = 0.
-2, -1
What is g in -2*g**2 - g**2 + 0*g**2 - 3 - 6*g = 0?
-1
Let t(w) = -w**2 - 7*w + 10. Let s(f) = -8*f + 8. Let h be s(2). Let z be t(h). Let u + 0 - 9/2*u**z = 0. What is u?
0, 2/9
Let d(f) = -f**2 + 10*f - 6. Let i be d(9). Factor 1 + 0*h**3 - h**2 - h**3 + h**i - h**3 + h.
-(h - 1)*(h + 1)**2
Let m be 4 + (0 - -16)/(-4). Let y = 34 + -100/3. Find t, given that m + y*t**2 + 2/3*t = 0.
-1, 0
Suppose a - 7 = -5*k - 30, -3*k = -5*a + 25. Factor 2 + 3 + n**2 - 4 - a*n**2.
-(n - 1)*(n + 1)
Let f be 1/(-7) - 45/(-21). Solve -x**f - 1/3 + x + 1/3*x**3 = 0 for x.
1
Let h(v) be the second derivative of 1/7*v**2 + 0 + 1/42*v**4 - v - 2/21*v**3. Factor h(p).
2*(p - 1)**2/7
What is v in -8/3 - 20/3*v**3 + 38/3*v**2 - 6*v**4 + 8*v + 8/3*v**5 = 0?
-1, 1/4, 2
Let r be (-5)/3 - (-2)/(-6). Let w be (2/(-6))/(r/12). Solve -2 - m + w + m**2 + 0*m**2 = 0 for m.
0, 1
Let u = 0 - 0. Suppose 2*m - 4*q = -2*q + 16, 4*q + 20 = u. Factor 3*s**2 - 2*s + 2*s**2 - m*s**2.
2*s*(s - 1)
Let l(b) = 2*b**2 - b + 5. Let u(n) = 3*n**2 - n + 6. Let i(y) = -6*l(y) + 5*u(y). Factor i(w).
w*(3*w + 1)
Solve -1/2*d - 1/4*d**2 + 0 + 1/4*d**3 = 0 for d.
-1, 0, 2
Let k = 9 + -6. Suppose 4*m - k*m = 0. Determine i so that m + 1/4*i + i**4 + i**2 + 3/2*i**3 + 1/4*i**5 = 0.
-1, 0
Suppose n = 2*y - 65, 3*n - 23 - 38 = -2*y. Suppose -5*l - 12 + y = 0. Suppose 0*c - 1/4*c**2 + 1/4*c**l + 0*c**3 + 0 = 0. What is c?
-1, 0, 1
Suppose 0 = -3*s - 16*s. Find i, given that 4/3*i**3 + s*i**2 + 8/3 - 4*i = 0.
-2, 1
Let i(j) be the second derivative of 0 + 1/24*j**4 + 0*j**2 + j + 1/12*j**3. Factor i(d).
d*(d + 1)/2
Let d(v) = -v - 1. Let x be d(-3). Let 2*m**2 - 2 + 4*m + x*m**3 - 2*m - 4*m = 0. Calculate m.
-1, 1
Let d(f) be the first derivative of f**4/2 - 2*f**3/9 - 5*f**2/9 - 2*f/9 - 1. Solve d(n) = 0.
-1/3, 1
Factor -20*c + 0 - 5/2*c**2.
-5*c*(c + 8)/2
Let v be 1/((-2)/(-4)) - 0. Suppose 2*m + o = v, 4*m + 3*o = -m + 3. Let -425/2*p**m + 135*p**2 + 4 - 38*p + 1