 of 0*o**3 + j*o + 3 + 1/10*o**4 - 1/5*o**2. Factor t(a).
2*a*(a - 1)*(a + 1)/5
Let x(h) be the third derivative of -h**6/1440 + h**5/240 - h**4/96 - h**3/2 - 4*h**2. Let s(a) be the first derivative of x(a). Factor s(i).
-(i - 1)**2/4
Let d(n) be the first derivative of -n**5/10 - n**4/8 + n**3/3 + 3. Let d(s) = 0. What is s?
-2, 0, 1
Let q(v) = v**4 + 9*v**2 + 5*v. Let x(m) = -m**4 - 5*m**2 - 3*m. Let z(b) = -3*q(b) - 5*x(b). What is u in z(u) = 0?
-1, 0, 1
Let r(y) be the third derivative of -y**5/50 + y**4/30 + y**3/15 - 9*y**2. Factor r(c).
-2*(c - 1)*(3*c + 1)/5
Let o = -7 + 10. Suppose o*z + 0*s + 5*s = -19, 4*z = -2*s - 2. Factor -4/3 - 2*q - 2/3*q**z.
-2*(q + 1)*(q + 2)/3
Let u(c) be the second derivative of -c**5/30 + c**3/3 - 2*c**2/3 - 5*c. Factor u(s).
-2*(s - 1)**2*(s + 2)/3
Let c(y) = 2*y**4 - 2*y**2. Let l(i) = -i**2 - i. Let r(n) = -c(n) - 4*l(n). Factor r(k).
-2*k*(k - 2)*(k + 1)**2
Let u(a) = 4*a - 1. Let b be (1 + -5)/(-2) + -1. Let o be u(b). Find i, given that -2*i**2 + 4 - o*i + 3*i**2 - i = 0.
2
Let z(o) be the second derivative of o**7/900 + o**6/360 - o**5/150 - o**4/6 - 3*o. Let x(j) be the third derivative of z(j). Find w such that x(w) = 0.
-1, 2/7
Let g(n) be the second derivative of -2*n**7/21 + n**5/5 - 9*n. Find w, given that g(w) = 0.
-1, 0, 1
Let s(g) be the first derivative of -2*g**3/21 + 4*g**2/7 - 6*g/7 - 5. Suppose s(c) = 0. Calculate c.
1, 3
Let m(s) = 3*s**3 + 8*s**2 + 5. Let i(z) = -z**2 - 1. Let b(l) = -5*i(l) - m(l). Find o, given that b(o) = 0.
-1, 0
Let o(v) = 11*v**4 - 17*v**3 - 2*v**2 + 8*v - 9. Let k(f) = -5*f**4 + 8*f**3 + f**2 - 4*f + 4. Let w(n) = -9*k(n) - 4*o(n). Find c such that w(c) = 0.
-1, 0, 1, 4
Let a(n) be the third derivative of n**5/15 - 2*n**4 + 24*n**3 - 14*n**2. Solve a(h) = 0 for h.
6
Let j(h) = 22*h - 3. Let g be j(3). Let s be (-4)/18 + 56/g. Suppose 0 + 0*u**3 - 1/3*u**4 + s*u + u**2 = 0. What is u?
-1, 0, 2
Factor 12*s + 6 + 16*s + 6*s**3 + 12*s**2 - 7*s + 9*s**2.
3*(s + 1)*(s + 2)*(2*s + 1)
Let r(n) = 2*n**3 - 55*n**2 - 27*n - 26. Let b be r(28). Factor -1 - 3/2*l - 1/2*l**b.
-(l + 1)*(l + 2)/2
Let -42/5*m**4 - 4/5*m**3 + 18/5*m**5 - 16/5*m + 8*m**2 + 0 = 0. Calculate m.
-1, 0, 2/3, 2
Let z(p) be the first derivative of 0*p + 1/2*p**2 + 1/210*p**5 - 2 + 2/21*p**3 + 1/28*p**4. Let o(j) be the second derivative of z(j). Factor o(v).
2*(v + 1)*(v + 2)/7
Let h(s) be the second derivative of -3*s**5/20 - 3*s**4 + 27*s**3/2 - 21*s**2 - 18*s. Let h(z) = 0. What is z?
-14, 1
Factor -4*b + 281*b**2 - b**3 - 287*b**2 - b**3.
-2*b*(b + 1)*(b + 2)
Let w(l) be the first derivative of 5 + 2*l + 5/2*l**2 + 7/5*l**5 - 3*l**3 - 5/4*l**4. Factor w(q).
(q - 1)**2*(q + 1)*(7*q + 2)
Let i(r) be the third derivative of -r**6/8 - 7*r**5/10 - 13*r**4/8 - 2*r**3 - 43*r**2. Suppose i(z) = 0. Calculate z.
-1, -4/5
Suppose 3*u + 2*h + h - 6 = 0, h - 2 = 2*u. Factor -60*j**4 - 99/2*j**3 + u - 15*j**2 - 24*j**5 - 3/2*j.
-3*j*(j + 1)**2*(4*j + 1)**2/2
Let z(g) be the third derivative of -g**8/448 - g**7/70 - 3*g**6/80 - g**5/20 - g**4/32 + g**2. Find a such that z(a) = 0.
-1, 0
Find d, given that d + 4*d**2 - 2 + 15*d + 2 = 0.
-4, 0
Let y(d) be the third derivative of d**9/19656 + d**8/6240 + d**7/8190 - d**4/24 - 5*d**2. Let o(j) be the second derivative of y(j). Factor o(x).
2*x**2*(x + 1)*(5*x + 2)/13
Let s(l) = 37*l**2 + 7*l + 5. Let f(n) = 19*n**2 + 4*n + 2. Let r(v) = -5*f(v) + 2*s(v). Determine h so that r(h) = 0.
-2/7, 0
Suppose m + 26 = 4*o, 4*m - 3 + 5 = -o. Suppose 0 = -z + o*z. Suppose 0*c**4 - 2/7*c**5 - 2/7*c + 0*c**2 + z + 4/7*c**3 = 0. What is c?
-1, 0, 1
Let d(t) = -t**4 + t**3 - t**2 - 1. Let x(s) = 7*s**4 - 35*s**3 + 75*s**2 - 64*s + 23. Let j(l) = -3*d(l) - x(l). Factor j(p).
-4*(p - 5)*(p - 1)**3
Factor -2/11*s**3 + 0 + 2/11*s - 2/11*s**4 + 2/11*s**2.
-2*s*(s - 1)*(s + 1)**2/11
Let i be 4/2 - (2 - 4). Let j be (i/(-50))/(13/(-65)). Determine c, given that -2/5*c**3 + j*c + 0 + 0*c**2 = 0.
-1, 0, 1
Let d(i) be the first derivative of i**3/21 + i**2/14 - 8. Find g, given that d(g) = 0.
-1, 0
Suppose 8 = 7*b - 5*b. Let i be 0 + ((-75)/(-18) - b). Solve -1/6 - 1/6*k**3 + i*k**2 + 1/6*k = 0 for k.
-1, 1
Let t = 34/3 + -10. Let c = -1 + t. Factor -c*s**2 + 0 + 0*s.
-s**2/3
Factor -l**3 + 1/3*l**5 + 0 - 8/3*l**2 + 2/3*l**4 - 4/3*l.
l*(l - 2)*(l + 1)**2*(l + 2)/3
Suppose 3*g - 4 - 7 = x, -4*x = 5*g + 10. Factor 0 - o**3 - 5 + 6*o**g - 2*o**4 - 2*o + 3*o**3 + 1.
-2*(o - 2)*(o - 1)*(o + 1)**2
Let i(l) be the third derivative of -l**6/600 - l**5/150 + l**2. Factor i(u).
-u**2*(u + 2)/5
Factor -1/4*r**2 - 3/4*r**3 + 0 + 1/2*r.
-r*(r + 1)*(3*r - 2)/4
Let y(u) be the third derivative of u**5/360 - u**3/9 + 4*u**2. Suppose y(l) = 0. Calculate l.
-2, 2
Let v be 58/116 + (-6)/(-4). Factor 2/3*o - 4/9 - 2/9*o**v.
-2*(o - 2)*(o - 1)/9
Let y be (1*(-2)/10)/(18/(-10)). Let b(x) be the second derivative of 0 - y*x**3 + 2*x - 1/6*x**2 - 1/36*x**4. Solve b(t) = 0 for t.
-1
Let x(b) = b**2 + 63. Let m be x(0). Suppose -210*f**2 + m*f**2 - 12 - 47*f - 37*f = 0. Calculate f.
-2/7
Let a be ((-2904)/(-56))/(-11) - (-4 + -1). Factor a*o**3 + 0*o**2 + 0 - 2/7*o.
2*o*(o - 1)*(o + 1)/7
Let x(n) = -n**2 - 5*n - 4. Let j be x(-2). What is u in 12*u - 43*u**2 + 40*u**j - 3 - 9 = 0?
2
Factor -h + 5*h + 2*h - h**2.
-h*(h - 6)
Let z = 28 + -178/7. Determine d, given that 30/7*d + 2/7*d**3 - 2*d**2 - z = 0.
1, 3
Let p = 23 + -13. Let y(x) = -4*x**2 + 3*x + 1. Let w(s) = 8*s**2 - 5*s - 3. Let m be 2*-1*(-1 + -1). Let z(a) = m*w(a) + p*y(a). Factor z(r).
-2*(r - 1)*(4*r - 1)
Let x = -193 - -387/2. Factor -1/2*w**2 + x - 1/2*w**3 + 1/2*w.
-(w - 1)*(w + 1)**2/2
Let h(w) = 12*w - 1. Let r be h(1). Suppose -1 + r = 5*y. Let j**5 - 4*j**4 - 4*j**y - 3*j + 6*j**3 - j + 5*j = 0. What is j?
0, 1
Let m = -10 - -17. Let y = -9 - -14. Factor -m*z**2 + 0*z**5 + 2*z**4 + 2*z**y - 4*z + 0*z**4 - 3*z**2 - 6*z**3.
2*z*(z - 2)*(z + 1)**3
Let p(v) be the second derivative of 0 + 0*v**3 + 2*v + 0*v**2 - 1/18*v**4 - 1/20*v**5. Factor p(n).
-n**2*(3*n + 2)/3
Let y(u) = -u + 13. Let o(n) = -2*n + 25. Let j(v) = -2*o(v) + 5*y(v). Let b be j(12). Determine m so that 0*m + 2/7*m**b - 2/7*m**2 + 0 = 0.
0, 1
Let k(h) = -4*h**4 + 61*h**3 - 205*h**2 + 243*h. Let x(s) = -s**4 + 15*s**3 - 51*s**2 + 61*s. Let q(i) = -6*k(i) + 26*x(i). Solve q(j) = 0 for j.
0, 4
Let a(u) be the third derivative of u**5/15 - 2*u**3/3 + 11*u**2. Factor a(l).
4*(l - 1)*(l + 1)
Let o = -7 - -10. Let x(k) be the third derivative of -1/60*k**6 - 2*k**2 + 0 + 1/12*k**4 + 1/30*k**5 + 0*k - 1/3*k**o. Find l, given that x(l) = 0.
-1, 1
Let x be (-32)/8*3/(-4). Factor n - 3*n + 2*n**3 - 3*n**2 - 3*n**x.
-n*(n + 1)*(n + 2)
Let u(b) = -18*b**2 + 23*b - 5. Let g(t) = -125*t**2 + 160*t - 35. Let x(j) = -3*g(j) + 20*u(j). Factor x(n).
5*(n - 1)*(3*n - 1)
What is f in -2*f**2 + 2*f + 2/3*f**3 - 2/3 = 0?
1
Let l(n) be the first derivative of 1/30*n**6 - 1 + 0*n**4 - 1/20*n**5 + n + 0*n**2 + 0*n**3. Let f(x) be the first derivative of l(x). Factor f(o).
o**3*(o - 1)
Suppose 5*m - 5*u = 0, -2*m - m = -2*u. Let j be (-3)/(-12)*10 + -2. Factor m*r**3 + 1/2*r - j*r**5 + r**4 + 0 - r**2.
-r*(r - 1)**3*(r + 1)/2
Let s(n) be the third derivative of 1/45*n**5 - 1/36*n**4 + 0*n - 1/180*n**6 - 5*n**2 + 0 + 0*n**3. Determine q so that s(q) = 0.
0, 1
Let g(n) be the third derivative of n**7/2100 - n**5/300 - 5*n**3/6 + 4*n**2. Let r(a) be the first derivative of g(a). Factor r(j).
2*j*(j - 1)*(j + 1)/5
Let v(h) = 3*h**2 + h - 1. Let p be v(2). Suppose -5*n + p + 2 = 0. Factor 0*c - 1/2*c**4 + 0 + 0*c**n + 0*c**2 + 1/2*c**5.
c**4*(c - 1)/2
Suppose t - 6*t + 20 = 0. Let l be 3*(-3 + t) - 3. Factor 0*s - 1/5*s**3 + l - 3/5*s**4 + 0*s**2 - 2/5*s**5.
-s**3*(s + 1)*(2*s + 1)/5
Let u(y) be the second derivative of -y**5/120 - y**4/48 + y**3/6 - 3*y**2/2 - 2*y. Let l(v) be the first derivative of u(v). Determine j so that l(j) = 0.
-2, 1
Let y be 11/33 - -1*(-5)/(-3). Factor 0*g**y + 0 + 2/3*g**4 + 0*g + 2/3*g**3.
2*g**3*(g + 1)/3
Let b(t) be the third derivative of 0*t + 1/150*t**5 - 7*t**2 - 1/15*t**4 + 0 + 1/5*t**3. Solve b(o) = 0.
1, 3
Let y(g) be the third derivative of -g**5/100 + 3*g**4/4 - 45*g**3/2 + 2*g**2 - 20*g. Factor y(o).
-3*(o - 15)**2/5
Suppose 3*y - 5 - 7 = 0. Let g(z) be the first deriv