c**5/120 - 5*c**4/48 - c**3/12 + 10*c**2. Find z, given that i(z) = 0.
-1, -1/3
Let i be -1*(65/52 + (-3)/2). Let -i*v**2 - 1/4*v**3 + 1/4*v + 1/4 = 0. Calculate v.
-1, 1
Suppose -z - 3*z + 4 = 0. Suppose z = 5*f - 4. Factor 5/2*x - f - 2*x**2 + 1/2*x**3.
(x - 2)*(x - 1)**2/2
Let t(y) be the third derivative of -y**8/3360 - y**7/1260 + y**4/24 - 4*y**2. Let d(k) be the second derivative of t(k). Find l such that d(l) = 0.
-1, 0
Let r(v) = 4*v - 18. Let f be r(5). Let h(c) be the third derivative of 27/70*c**5 - f*c**2 + 4/21*c**3 - 3/7*c**4 + 0 + 0*c. Factor h(l).
2*(9*l - 2)**2/7
Suppose -3*g - 2 = 4. Let h = g - -18. Factor -6*u**3 - 16*u - 2*u**2 + h*u.
-2*u**2*(3*u + 1)
Let y(a) be the third derivative of -a**6/6 - a**5/15 + 2*a**2. Solve y(h) = 0.
-1/5, 0
Let q be 5/(20/8)*2. Let x(a) = 2*a - 3. Let d be x(q). Find f such that -f**2 - 7/2*f**3 - 4*f**4 - 3/2*f**d + 0 + 0*f = 0.
-1, -2/3, 0
Let x(r) be the second derivative of r**5/5 - 4*r**4/3 + 8*r**3/3 + 4*r. Factor x(f).
4*f*(f - 2)**2
Let t(p) be the second derivative of -p**4/27 + 32*p**3/27 - 128*p**2/9 + 4*p. Factor t(m).
-4*(m - 8)**2/9
Let c(n) = -n**2 + 5*n. Let m = 3 - -1. Let a be c(m). Factor 2*k**4 + 0*k + 1 + 2*k**2 + k**5 + 2*k**3 - 5*k**a - 3*k.
(k - 1)**4*(k + 1)
Let r(i) = -2*i**3 + 3*i**2 + 3*i - 2. Let h(c) = 3*c**3 - 6*c**2 - 6*c + 3. Let x(l) = -3*h(l) - 5*r(l). Suppose x(o) = 0. What is o?
-1
Let n(p) be the first derivative of -p**5/270 + p**4/108 + p**2/2 + 1. Let b(o) be the second derivative of n(o). Factor b(y).
-2*y*(y - 1)/9
Let y(o) = 20*o**2 - 17. Let s(w) = 7*w**2 - 6. Suppose 0 = 2*j - 22 + 56. Let h(a) = j*s(a) + 6*y(a). Factor h(z).
z**2
Let g(l) be the second derivative of -l**6/10 - 19*l**5/20 - 7*l**4/2 - 6*l**3 - 4*l**2 + 17*l + 3. What is a in g(a) = 0?
-2, -1/3
Factor -28*g - 58*g**2 - 19*g - 97*g**2 - 75*g**3 - 53*g - 20.
-5*(g + 1)*(3*g + 2)*(5*g + 2)
Let s be ((-4)/(-6))/(12/54). Let s*f**2 - 1 - 2*f**2 + 0*f**2 = 0. Calculate f.
-1, 1
Let b(q) = -q**5 + q**4 + q - 1. Suppose -3*r - 6 = 3*r. Let u(f) = 3*f**5 + f**4 - 8*f**2 - 5*f + 5. Let k(a) = r*u(a) - 5*b(a). Let k(i) = 0. What is i?
-1, 0, 2
Let n(z) = -z**2 + 6*z + 7. Let c(v) = v**2 + v + 7. Let w be c(0). Let f be n(w). Factor 7*b**3 - 2*b + f*b - 5*b**3.
2*b*(b - 1)*(b + 1)
Let v be 5 + (3 - 132/18). Factor -v*a**3 + 0 - 2/3*a + 4/3*a**2.
-2*a*(a - 1)**2/3
Let g = -1 + 4. Determine c so that -g*c**3 + 4*c**2 + c**3 + c**3 - 2*c - c**3 = 0.
0, 1
Factor -2*g**3 + 23*g - 31*g + 2*g**2 + 9*g**3 + 4 - 5*g**4 - g**2 + g**5.
(g - 2)**2*(g - 1)**2*(g + 1)
Let f(y) be the first derivative of -y**4/4 - y**3/6 + y**2 + 3*y + 3. Let c(z) be the first derivative of f(z). What is g in c(g) = 0?
-1, 2/3
Let b(k) = 11*k**4 - 39*k**3 + 36*k**2 - 9*k - 9. Let i(y) = 5*y**4 - 19*y**3 + 18*y**2 - 5*y - 5. Let j(o) = 6*b(o) - 10*i(o). Factor j(d).
4*(d - 1)**3*(4*d + 1)
Let y be -2 + (-9)/((-252)/80). Let p be (1 + 0)*-3 + (4 - -2). Factor -y*a**2 - 2/7*a**4 + 6/7*a**p + 0 + 2/7*a.
-2*a*(a - 1)**3/7
Suppose 0 = 4*k + 3*p - 7, 3*k - 14 = -2*k - 2*p. Let y = 1406 + -2809/2. Suppose 0*d + 3/2*d**k + 0*d**2 - y*d**3 + 0 = 0. Calculate d.
0, 1
Suppose 5*t + 24 = 11*t. Let q(u) be the first derivative of 4/3*u**3 + 0*u - u**2 - 1 - 1/2*u**t. Factor q(i).
-2*i*(i - 1)**2
Let a be (-3)/4 + (-6)/(-6). Let j(k) be the first derivative of 1/4*k**2 - 3 + 0*k + a*k**3. Determine s so that j(s) = 0.
-2/3, 0
Let z(w) be the first derivative of 11*w**5/30 + 5*w**4/6 - 2*w**3/9 + 20. Determine p, given that z(p) = 0.
-2, 0, 2/11
Let z be 12/1*2/4. Let j(o) be the third derivative of 1/5*o**5 - 1/12*o**4 + 4*o**2 + 0*o - 1/60*o**z + 0 - 8/35*o**7 - 2/21*o**8 + 0*o**3. Factor j(d).
-2*d*(d + 1)**2*(4*d - 1)**2
Suppose 0 = -4*t + 4*d + 20, -3*d = t + 4 + 3. Factor -2/3*k**t + 0*k + 2/3.
-2*(k - 1)*(k + 1)/3
Let p be -3*(-21)/(-9) - -9. Factor 0 - 2/13*m**p - 2/13*m**3 + 2/13*m**4 + 2/13*m.
2*m*(m - 1)**2*(m + 1)/13
Let j(y) be the third derivative of y**8/112 - y**7/70 - y**6/40 + y**5/20 + 22*y**2. Factor j(u).
3*u**2*(u - 1)**2*(u + 1)
Let x(r) = r**3 + 7*r**2 - r - 6. Let m be x(-7). Let k = m + -1. Let 0 + 0*l**3 + k*l**4 - 1/3*l**5 + 0*l**2 + 0*l = 0. Calculate l.
0
Find y, given that -3/2*y**4 + 3/4*y**3 + 0*y + 3/2*y**2 + 0 - 3/4*y**5 = 0.
-2, -1, 0, 1
Suppose -6/7*v + 2/7*v**3 + 4/7 + 0*v**2 = 0. What is v?
-2, 1
Let u(s) be the third derivative of -1/3*s**3 + 1/15*s**6 + 1/15*s**5 + 0*s + 0 - 1/6*s**4 + s**2 - 1/105*s**7 - 1/84*s**8. Determine j, given that u(j) = 0.
-1, -1/2, 1
Let r(b) be the second derivative of b**7/21 - 2*b**5/5 - b**4/3 + b**3 + 2*b**2 - 14*b. Find a, given that r(a) = 0.
-1, 1, 2
Let z(n) = n**3 + 5*n**2 + 3*n + 2. Let p be z(-3). Let w be p/14 + 4/(-8). Let w*m**2 - 2/7*m - 2/7 + 2/7*m**3 = 0. Calculate m.
-1, 1
Let i(f) be the third derivative of -f**6/300 - f**5/50 - f**4/30 + 23*f**2. What is b in i(b) = 0?
-2, -1, 0
Let g(t) be the first derivative of 5*t**6/6 - 5*t**5 + 5*t**4 + 5. Find o such that g(o) = 0.
0, 1, 4
Let t = 16 + -11. Solve t*m**2 + 2*m**3 + m**5 - 2*m - m**4 - 4*m**3 - 2*m**3 + m**3 = 0 for m.
-2, 0, 1
Let q(s) = -8*s**2 - 6*s. Let c(j) = -16*j**2 - 13*j. Let w(f) = 2*c(f) - 5*q(f). Factor w(d).
4*d*(2*d + 1)
Let m = 482/3 - 160. Determine f, given that 2/3*f + m*f**5 + 8/3*f**4 + 0 + 8/3*f**2 + 4*f**3 = 0.
-1, 0
Let x(n) be the second derivative of -4*n + 1/50*n**5 + 0 - 2/5*n**2 - 1/15*n**3 + 1/15*n**4. Factor x(k).
2*(k - 1)*(k + 1)*(k + 2)/5
Let y(w) be the second derivative of -w**7/105 + w**6/60 + w**5/30 - w**4/12 - w**2 - 3*w. Let m(n) be the first derivative of y(n). Factor m(u).
-2*u*(u - 1)**2*(u + 1)
Let n(t) be the third derivative of t**7/315 - t**5/90 - 2*t**2. Find i such that n(i) = 0.
-1, 0, 1
Let n = 11 - 7. Suppose -5*g + u + 3*u = -18, -3*g = u - n. Suppose -5*v + 2*v + 5*v + g*v**2 = 0. Calculate v.
-1, 0
Suppose -3*x + 4 + 5 = 0. Let q = -4 + 6. Factor 0*a**3 - q - a**2 + 5*a + a**x + 2*a**2 - 5*a**2.
(a - 2)*(a - 1)**2
Let w = 10 - 7. Factor -w*t + t**3 + 2*t + 3*t - t + 2*t**2.
t*(t + 1)**2
Let b(o) = o**2 - o - 4. Let d(r) = 15 + 7 - 34 + 13. Let q = 11 + -7. Let v(l) = q*d(l) + b(l). Suppose v(a) = 0. Calculate a.
0, 1
Let u(h) be the first derivative of h**3/18 - 7*h**2/12 + 2*h - 48. Find j, given that u(j) = 0.
3, 4
Let m(b) = 2*b + 6. Let y be m(-4). Let w = 4 + y. Find n, given that -4*n**w + 2 + 4*n**3 + 0*n**3 + 2*n**4 + 2*n**5 - 2*n - 4*n**5 = 0.
-1, 1
Let n = -32 + 32. Suppose v = 2 - n. Factor -13/3*i**v - 4/3 - 1/3*i**4 - 2*i**3 - 4*i.
-(i + 1)**2*(i + 2)**2/3
Suppose 0*i - i = -5*z + 15, 5*i + 3 = z. Let g be 21/70*4/z. Let g*p**2 - 4/5 - 2/5*p = 0. What is p?
-1, 2
Let l be ((5/(-24))/(-5))/((-18)/(-27)). Let h(w) be the third derivative of w**2 + 0 + 0*w + 1/6*w**3 + l*w**4 + 1/120*w**5. Factor h(u).
(u + 1)*(u + 2)/2
Let b(o) be the first derivative of -o**6/21 - 2*o**5/35 + o**4/14 + 2*o**3/21 + 18. Find x such that b(x) = 0.
-1, 0, 1
Suppose -b - 3*z - 4 = 0, 2*b + b = -4*z + 8. Let n be (-2*2)/((-2)/2). Factor 4*c**3 - b*c**4 - 4*c**4 - 2*c**2 + 10*c**n.
-2*c**2*(c - 1)**2
Factor -40*h + 3*h**4 + 40*h + 6*h**3 + 3*h**2.
3*h**2*(h + 1)**2
Factor 23/10*n - 4/5 + 1/2*n**3 + 1/10*n**4 - 21/10*n**2.
(n - 1)**3*(n + 8)/10
Let i(k) = 8*k**2 + 2*k - 2. Let t(z) = 7*z**2 + 2*z - 1. Let m(l) = -2*i(l) + 3*t(l). Let w be m(-1). Factor -g**2 + 2 + 0*g**w - 2*g**3 - 2 - g**4.
-g**2*(g + 1)**2
Let f(d) = -d**3 - 2*d + 4. Let c be f(0). Let r(g) be the second derivative of 1/135*g**6 - 3*g - 1/45*g**5 + 0*g**c - 1/9*g**2 + 0 + 2/27*g**3. Factor r(j).
2*(j - 1)**3*(j + 1)/9
Suppose 0 = m + 2*v, -2*m + 3*v - 2 = -4*m. Let s be -3 + (6 - (4 - 1)). Factor -18*w**3 - 8/5*w - 64/5*w**2 + s + 162/5*w**m.
2*w*(w - 1)*(9*w + 2)**2/5
Let d be -1 + 4 + (-1 - 2). Determine j so that d + 6/5*j - 3/5*j**2 = 0.
0, 2
Let u(d) be the third derivative of -4*d**2 + 0*d**3 + 1/20*d**5 + 0*d**4 + 0 - 1/112*d**8 - 3/40*d**6 + 3/70*d**7 + 0*d. Factor u(b).
-3*b**2*(b - 1)**3
Let k(n) be the first derivative of n**3 - 9*n**2 + 27*n + 7. Factor k(j).
3*(j - 3)**2
Solve -2/11*h**3 - 16/11 - 24/11*h - 12/11*h**2 = 0.
-2
Suppose -14*g = -16*g. Let x(r) be the second derivative of 0*r**3 + 0*r**2 + 0*r**4 + r + g - 1/45*r**6 + 0*r**5 + 1/63*r**7. What is n in x(n)