he third derivative of 1/40*j**4 + 0*j + 3*j**2 + 0 + 1/100*j**5 - 1/5*j**n. Solve q(z) = 0.
-2, 1
Let x = 176/5 - 35. Suppose -x*i + 0 - 1/5*i**2 = 0. Calculate i.
-1, 0
Factor -7/5*x**3 + 1/5*x**4 + 4/5*x**2 + 0 + 12/5*x.
x*(x - 6)*(x - 2)*(x + 1)/5
Let k(n) be the third derivative of n**7/1890 - n**6/360 + n**5/540 + n**4/72 - n**3/27 + 4*n**2. What is l in k(l) = 0?
-1, 1, 2
Let s be 24 + -4 + 10 + -4. Factor -22*v**3 - 2*v**2 - 10*v**2 + s*v**3.
4*v**2*(v - 3)
Let j(k) be the second derivative of 0*k**2 + 0*k**4 - 1/6*k**3 + 0 + 1/45*k**6 - 1/60*k**5 + k. Let y(r) be the second derivative of j(r). Factor y(q).
2*q*(4*q - 1)
Let n(x) be the first derivative of -1/4*x**4 - 1 + 4/3*x**3 + 0*x - 2*x**2. Factor n(c).
-c*(c - 2)**2
Suppose 1/3 + 0*g - 1/3*g**2 = 0. What is g?
-1, 1
Let g(k) = -k**2. Let i(s) = s**2 + 30*s + 45. Let q(p) = -4*g(p) + i(p). Factor q(b).
5*(b + 3)**2
Let d(a) = -a**3 + 15*a**2 + 2. Let q be d(15). Let f(v) be the first derivative of -2/3*v**3 + 2*v**2 + q - 2*v. Factor f(k).
-2*(k - 1)**2
Factor 4/11*r + 0 + 0*r**2 + 3/11*r**4 - 7/11*r**3.
r*(r - 2)*(r - 1)*(3*r + 2)/11
Let h(n) = 3*n**2 - 12*n. Let s(g) = g. Let x(z) = h(z) + 12*s(z). Determine u, given that x(u) = 0.
0
Let f(n) be the second derivative of n**4/12 - 5*n**3/6 - 2*n. Let d be f(5). Let -r**2 - 2*r + r + d*r**2 = 0. What is r?
-1, 0
Let u(r) = -r**4 + 5*r**3 + 3*r - 3. Let c(f) = -f**3 + 2*f - 1. Let a be c(-2). Let p(n) = a - 1 + n**3 - n**4 + n - 3. Let z(w) = -3*p(w) + u(w). Factor z(o).
2*o**3*(o + 1)
Suppose -13 = -5*j + n, -14 = j + 5*n - 1. Determine x, given that 3*x**2 - x**j - 4*x**2 + 2*x = 0.
0, 1
Let d = 1 - 4. Let l be 3*(-1)/(d/3). Suppose 2*j**2 - l + 3*j**3 + j + 1 - 4*j**3 = 0. What is j?
-1, 1, 2
Let j(x) be the third derivative of x**7/70 - x**6/20 - 8*x**2. Find n such that j(n) = 0.
0, 2
Determine q so that 704*q + 2*q**2 - 704*q - 2*q**3 = 0.
0, 1
Determine f so that -8/11*f**2 + 2/11 + 6/11*f = 0.
-1/4, 1
Let c(t) = -5*t**2 - 5*t. Let q(v) = -5*v**2 - 4*v. Let p(d) = 6*c(d) - 5*q(d). Factor p(o).
-5*o*(o + 2)
Suppose 0 = -b - 2*b + 4*s - 6, 4*b = -4*s + 20. Let c(a) be the first derivative of -b - 1/10*a**2 + 0*a - 2/15*a**3 - 1/20*a**4. Factor c(l).
-l*(l + 1)**2/5
Let q be (3/120)/(8/2). Let b(s) be the third derivative of -1/12*s**3 + s**2 + 1/840*s**7 + 0 - 1/32*s**4 + 0*s + 1/240*s**5 + q*s**6. Solve b(m) = 0.
-2, -1, 1
Let 4*q - 32*q**2 - 26*q**2 - 2 + 56*q**2 = 0. Calculate q.
1
Let b = -94 - -97. Factor -2/11*h**2 + 0 - 2/11*h**b + 0*h.
-2*h**2*(h + 1)/11
Let o(m) = -m**3 + 7*m**2 + 10*m - 14. Let t be o(8). Factor -2/3*u + 0 - 2/3*u**t.
-2*u*(u + 1)/3
Let v(z) = 5*z**2 - 5*z. Let w(l) = -l**2 + 8*l + 1. Let n be w(8). Let x(b) = b**2 - b. Let a(k) = n*v(k) - 4*x(k). Factor a(c).
c*(c - 1)
Let h be -163 + (-3)/(-4 + 1). Let i be ((-2)/9)/(18/h). Factor 0 + 1/3*y**i + 1/3*y.
y*(y + 1)/3
Let f = -4 + -10. Let k be (-24)/f - 4/(-14). Let 5*d**3 - 2*d**4 + 3*d**2 + d**2 - 6*d**2 + d - 2*d**k = 0. Calculate d.
0, 1/2, 1
Factor 8/5 + 2/5*z**2 + 8/5*z.
2*(z + 2)**2/5
Let a(z) = -z**2 - 1. Let q(t) = -4*t**2 + 3*t - 3. Suppose 0 = -3*i + 5*i - 10. Let w be (2 - i)*4/12. Let d(r) = w*q(r) + 5*a(r). Let d(k) = 0. What is k?
-2, -1
Let c = 423 + -20303/48. Let t(f) be the third derivative of 0 + f**2 - c*f**4 - 1/60*f**6 - 2/105*f**7 + 5/672*f**8 + 0*f + 1/12*f**5 - 1/6*f**3. Factor t(p).
(p - 1)**3*(p + 1)*(5*p + 2)/2
Let m(a) = -a**2 - 2. Let k(g) = -g**2 - 4. Let n(b) = 3*k(b) - 5*m(b). Determine p so that n(p) = 0.
-1, 1
Let x(r) be the second derivative of 3*r**5/40 + 3*r**4/4 + 3*r**3 + 6*r**2 + 15*r. Factor x(g).
3*(g + 2)**3/2
Let z(l) be the second derivative of -l**10/166320 + l**8/18480 - l**6/3960 - l**4/4 - 2*l. Let p(b) be the third derivative of z(b). Find k such that p(k) = 0.
-1, 0, 1
Let s(m) = 1 + 6*m + 1 + 3 + m - 2*m**2. Let j(u) = -2*u**2 + 6*u + 4. Let g(a) = 5*j(a) - 4*s(a). Factor g(w).
-2*w*(w - 1)
Factor -3 - 39/4*d - 45/4*d**2 - 21/4*d**3 - 3/4*d**4.
-3*(d + 1)**3*(d + 4)/4
Let j(k) be the third derivative of k**7/126 - k**6/18 + 5*k**5/36 - 5*k**4/36 - 5*k**2. Factor j(a).
5*a*(a - 2)*(a - 1)**2/3
Let t(h) be the third derivative of h**5/100 + 7*h**4/60 + 4*h**3/15 - 10*h**2. Let t(m) = 0. Calculate m.
-4, -2/3
Let u be (-5)/1455*(-7821)/6. Let f = u + 2/97. Factor 0 - 1/2*v**2 + 3*v**3 - f*v**4 + 0*v + 2*v**5.
v**2*(v - 1)**2*(4*v - 1)/2
Let 32/5*p - 12/5 + 12/5*p**2 = 0. What is p?
-3, 1/3
Let h(i) be the third derivative of 0*i + 1/12*i**4 + 0*i**3 - 1/60*i**5 + 0 - 4*i**2. Let h(j) = 0. Calculate j.
0, 2
Let x be (276/(-10))/((-6)/(-20)). Let o be -1 + (-4)/(48/x). Factor 0*l**4 + 8/3 + 15*l**3 - 10/3*l**2 - 9*l**5 - o*l.
-(l + 1)**2*(3*l - 2)**3/3
Let x = -37 - -149/4. Let f(i) = i**3 + 6*i**2 + i + 6. Let o be f(-6). Factor 0*j + o*j**3 + 1/4*j**4 + 0 - x*j**2.
j**2*(j - 1)*(j + 1)/4
Find s such that s + s**2 - 2*s - 1 + s = 0.
-1, 1
Let c = 64/9 + -7. Let i(v) be the first derivative of -1/6*v**2 + 1/12*v**4 + 1/3*v - c*v**3 - 2. Suppose i(r) = 0. Calculate r.
-1, 1
Let c(d) be the third derivative of d**7/105 - d**6/10 + 3*d**5/10 - 13*d**2. What is v in c(v) = 0?
0, 3
Let j(d) = -d**3 - 11*d**2 - 10*d - 3. Let k be j(-10). Let u be (-1)/k*(-18)/(-15). Factor -2/5*y**3 + u*y**2 + 2/5*y - 2/5.
-2*(y - 1)**2*(y + 1)/5
Let i be (-12 - -4)/(-1*2). Suppose 0 = m + 3 - 3. Factor -3/5*b**3 - 1/5*b**i - 3/5*b**2 + m - 1/5*b.
-b*(b + 1)**3/5
Let h(t) be the second derivative of 7/24*t**3 + 2*t + 3/80*t**5 + 0 - 1/4*t**2 - 1/6*t**4. Solve h(v) = 0 for v.
2/3, 1
Factor 6*l**4 - l**5 - 7*l**3 + l**3 + 3*l**5 - 2*l**4.
2*l**3*(l - 1)*(l + 3)
Let o = 107 + -317/3. Factor 6*m**2 - o*m + 0.
2*m*(9*m - 2)/3
Let o be (3/2)/((-15)/(-20)). Let c = -8 + 10. Factor m**3 - 3*m**o - m + 1 + c*m**2 + 2*m - 2*m.
(m - 1)**2*(m + 1)
Let s(b) be the first derivative of -2 + 1/8*b**2 + 0*b**3 + 2/5*b**5 - 3/8*b**4 + 0*b - 1/8*b**6. Suppose s(l) = 0. What is l?
-1/3, 0, 1
Let v(p) be the first derivative of p**4/2 - 22*p**3/3 + 32*p**2 - 56*p + 28. Find t, given that v(t) = 0.
2, 7
Let o(w) = -w**2 - 14*w + 6. Let x be o(-14). Factor -2 - 16*s**2 + 9*s - 9*s**5 + 4*s**3 + 10*s**5 - x*s**4 + 10*s**3.
(s - 2)*(s - 1)**4
Let q(a) be the first derivative of -1 - 2/3*a**3 + 1/4*a**4 + 1/2*a**2 + 0*a. Find n such that q(n) = 0.
0, 1
Let c(p) be the first derivative of 3*p**5/5 - 3*p**4/2 - p**3 + 3*p**2 + 5. Factor c(b).
3*b*(b - 2)*(b - 1)*(b + 1)
Let h = 42 - 42. Let u(t) be the third derivative of 0*t**3 + 1/60*t**6 - 1/210*t**7 + h + 0*t**4 + 0*t - 1/60*t**5 - 2*t**2. Determine b, given that u(b) = 0.
0, 1
Let n be (4/8)/((-1)/(-8)). Let j(z) be the first derivative of -2/7*z**2 + 1/7*z**n - 2/35*z**5 + 0*z**3 + 2 + 2/7*z. Determine g, given that j(g) = 0.
-1, 1
Factor 0*j - 8/13*j**4 + 2/13*j**2 - 6/13*j**3 + 0.
-2*j**2*(j + 1)*(4*j - 1)/13
Let s(y) = -y**3 - 8*y**2 - 9*y - 8. Let z be s(-7). Find f such that 6*f**5 + 7*f**4 + 3*f**4 - f**5 - f**5 - 2*f - 2*f**2 + z*f**3 = 0.
-1, 0, 1/2
Factor -4*z - 12*z**2 + 3*z**3 + 6*z + 12*z**4 - z - 4*z.
3*z*(z - 1)*(z + 1)*(4*z + 1)
Let p be (-10)/66 - 2/(-7 + 1). Determine l so that 0 - p*l**3 - 6/11*l**2 + 0*l = 0.
-3, 0
Suppose -2*j - j - 3 = 3*l, l = -5*j - 5. Let q be (-3 + 2)/(l + -1). Solve -1 - q - 13*t - t**2 + 1 + 11*t = 0.
-1
Let k = 1/25 + 19/25. Factor -k*j**4 + 2/5*j + 4/5*j**2 + 0 + 0*j**3 - 2/5*j**5.
-2*j*(j - 1)*(j + 1)**3/5
Let a(p) = -p**2 + 7*p - 5. Let v be a(5). Suppose 0 = v*k - 2*k - 6. Factor 0*n + 0 + 0*n**3 + 1/5*n**k - 1/5*n**4.
-n**2*(n - 1)*(n + 1)/5
Determine o, given that -6*o + 5*o - o + 1 + o**2 = 0.
1
Suppose 3*c - 2 = 19. Let l(r) = -2*r**4 - 4*r**3 - 10*r + 10. Let z(j) = 2*j**4 + 5*j**3 + j**2 + 10*j - 11. Let v(i) = c*l(i) + 6*z(i). Factor v(d).
-2*(d - 1)**3*(d + 2)
Factor 2*u - 4 - 1/4*u**2.
-(u - 4)**2/4
Let k be 6/(-8) + 102/8. Factor 9*v**5 + 5*v**4 + 7*v**4 - 2*v**3 + v**3 - k*v**2 - 4*v - 4*v**3.
v*(v - 1)*(v + 1)*(3*v + 2)**2
Suppose 4/9*y**2 - 5/9*y + 2/9 - 1/9*y**3 = 0. Calculate y.
1, 2
Let k(h) be the first derivative of 2*h**3 + 11*h**2 - 8*h - 10. Factor k(t).
2*(t + 4)*(3*t - 1)
Let 4/13*i + 6/13*i**2 + 0 + 2/13*i**3 = 0. Calculate i.
-2, -1, 0
Let z(s) = -s. Let f be z(-2). Let x be 3*f/(-10)*-5. Determine r so that -2/5*r**x