st derivative of -y**6/15 + 2*y**5/25 + y**4/5 - 4*y**3/15 - y**2/5 + 2*y/5 - 7. Factor x(k).
-2*(k - 1)**3*(k + 1)**2/5
Let v(j) = -j**2 + 14*j + 15. Let h be v(15). Let y(u) be the third derivative of 1/6*u**3 - 1/60*u**5 + 1/24*u**4 - 2*u**2 + h*u - 1/120*u**6 + 0. Factor y(g).
-(g - 1)*(g + 1)**2
Suppose -4*y + 2*y = 6. Let b = y + 5. Factor -2/5*n**4 + 0 - 1/5*n**3 + 1/5*n**b + 0*n.
-n**2*(n + 1)*(2*n - 1)/5
Let b(i) be the first derivative of 0*i - 2 - 1/7*i**2 + 0*i**4 + 4/35*i**5 - 4/21*i**3 + 1/21*i**6. Factor b(r).
2*r*(r - 1)*(r + 1)**3/7
Let r(m) = -9*m + 18. Let k be r(2). Find s, given that k + s**2 - 1/3*s + 1/3*s**4 - s**3 = 0.
0, 1
Let r(j) be the second derivative of j**6/900 - j**5/300 + j**3/2 - 3*j. Let o(n) be the second derivative of r(n). Factor o(p).
2*p*(p - 1)/5
Suppose 188 + 97 = -5*n - 5*o, 0 = -o. Let j = -169/3 - n. Factor 0*h**3 + 4/3*h**2 - j - 2/3*h**4 + 0*h.
-2*(h - 1)**2*(h + 1)**2/3
Let g(y) be the second derivative of -y**4/114 - 2*y**3/57 - 9*y. Let g(m) = 0. What is m?
-2, 0
Let w(z) be the first derivative of z**4/4 - 3*z**2/2 + 2*z - 13. Factor w(c).
(c - 1)**2*(c + 2)
Let 14/3*r**5 + 0 - 22*r**4 + 92/3*r**3 - 8*r**2 - 16/3*r = 0. What is r?
-2/7, 0, 1, 2
Let t(q) = q + 9. Let g be t(-7). Factor 0 - 1/2*s**4 + 0*s + 1/2*s**g + 0*s**3.
-s**2*(s - 1)*(s + 1)/2
Let p(f) = 45*f**2 + 41*f + 13. Suppose 3*t - 21 = 3. Let h(l) = 68*l**2 + 62*l + 20. Let n(a) = t*p(a) - 5*h(a). Factor n(q).
2*(2*q + 1)*(5*q + 2)
Let p be (11 - 10)/((-2)/(-10)). Suppose 20 = -0*s + p*s. Factor 3/2*f**s + 0 + 0*f + 3/2*f**2 - 3*f**3.
3*f**2*(f - 1)**2/2
Let g(d) be the third derivative of 0*d + 1/40*d**6 + 0*d**3 + 4*d**2 + 0*d**4 - 1/20*d**5 + 0. Find k such that g(k) = 0.
0, 1
Let c(p) = -5*p**3 + 3*p. Let h(k) = -10*k**3 + 5*k. Let a(l) = 5*c(l) - 2*h(l). Factor a(z).
-5*z*(z - 1)*(z + 1)
Let g be 43/26 - (-6)/(-39). Suppose 0 - 1/4*j - j**2 - j**4 - g*j**3 - 1/4*j**5 = 0. Calculate j.
-1, 0
Let h(q) = q**2 + 2*q - 5. Let a be h(-3). Let o be (8/(-10))/(a/5). Solve -1/2*b - 1/2*b**o + 1/2*b**3 + 0 + 1/2*b**4 = 0 for b.
-1, 0, 1
Let f = 188 - 9397/50. Let y(b) be the third derivative of 0 - 3*b**2 + 1/5*b**4 + 4/15*b**3 + f*b**5 + 0*b. Factor y(r).
2*(3*r + 2)**2/5
Let j be 2 - (3 - 4)*1. Let x be -3 - 15/(j/(-1)). Factor -2*q - 2*q**4 + 6*q**2 + 2*q**5 - 2*q**2 + 0*q**4 - x*q**4.
2*q*(q - 1)**3*(q + 1)
Let x(k) be the first derivative of 7*k**5/10 + 3*k**4/2 + 2*k**3/3 + 3*k - 2. Let v(g) be the first derivative of x(g). Factor v(f).
2*f*(f + 1)*(7*f + 2)
Determine o, given that 2/5*o - 12/5 + 2/5*o**2 = 0.
-3, 2
Let y(h) = h**2 + 5*h. Let q be y(-5). Find d, given that q - 2/5*d**5 + 2/5*d**2 + 6/5*d**4 + 0*d - 6/5*d**3 = 0.
0, 1
Let o(c) be the first derivative of 0*c**3 + 1/10*c**5 - 1/2*c**4 + 4*c**2 - 1 - 2*c. Let j(m) be the first derivative of o(m). Factor j(p).
2*(p - 2)**2*(p + 1)
Let t(r) be the first derivative of r**4/16 - r**3/12 - 4*r - 5. Let x(v) be the first derivative of t(v). Factor x(s).
s*(3*s - 2)/4
Let i(c) be the second derivative of 1/12*c**4 - 1/3*c**3 + 1/2*c**2 - 4*c + 0. Let i(a) = 0. What is a?
1
Let z(y) = -3*y**2 - 2*y + 1. Suppose 0 = b - 6*b - 105. Let d(q) = 10*q**2 + 6*q - 2. Let o(m) = b*z(m) - 6*d(m). Suppose o(j) = 0. Calculate j.
-3, 1
Let h(n) be the third derivative of -n**10/40320 + n**9/8640 - n**8/5376 + n**7/10080 + n**4/6 - 3*n**2. Let y(d) be the second derivative of h(d). Factor y(k).
-k**2*(k - 1)**2*(3*k - 1)/4
Let k = -13 + 15. Factor 0 - 2*j**k - 8/3*j**3 + 2/3*j.
-2*j*(j + 1)*(4*j - 1)/3
Let d(t) be the first derivative of t**6/240 - t**5/40 + t**4/16 + 4*t**3/3 + 1. Let l(p) be the third derivative of d(p). Factor l(v).
3*(v - 1)**2/2
Factor 0*o**3 + 1/3*o**4 + 2/3*o - o**2 + 0.
o*(o - 1)**2*(o + 2)/3
Suppose x + 6 = 5. Let v = 5/4 + x. Factor 0*b**4 + 0 + v*b - 1/2*b**3 + 0*b**2 + 1/4*b**5.
b*(b - 1)**2*(b + 1)**2/4
Factor g**3 - 5/2*g**2 + g + 0.
g*(g - 2)*(2*g - 1)/2
Let a = 2/57 + 12/19. Factor 0*l + 0*l**2 + 0 - a*l**4 + 4/3*l**3.
-2*l**3*(l - 2)/3
What is w in -135*w**2 - 8*w + 137*w**2 + 9 - 3 = 0?
1, 3
Let c be ((-14)/(-4) - -1)*2. Suppose -5*d + 6 = -c. Determine m, given that 0*m + 0*m**2 - 2/3*m**4 + 0 + 2/3*m**d = 0.
0, 1
Let i = 6 + -3. Factor 5*d**3 + 0*d**3 - 3*d**2 + 0*d**i - d - d.
d*(d - 1)*(5*d + 2)
Let s(p) be the second derivative of -p**6/30 - p**5/20 - 33*p. Find t such that s(t) = 0.
-1, 0
Let s(i) be the first derivative of -2*i**3/21 + i**2/7 + 4*i/7 - 5. Factor s(q).
-2*(q - 2)*(q + 1)/7
Let d be (-8)/(-70) + (-12)/(-42). What is x in -d*x**2 + 2/5*x**3 + 2/5 - 2/5*x = 0?
-1, 1
Factor 4/3 - 4*d + d**2 + 5/3*d**3.
(d - 1)*(d + 2)*(5*d - 2)/3
Let o(c) = -3*c + 7. Let x be o(-3). Let b = x + -14. Let 24/5*s**4 - 24/5*s**b - 18/5*s**5 + 0 + 2*s**3 + 8/5*s = 0. Calculate s.
-1, 0, 2/3, 1
Let q be (-12)/(-16) - 18/(-8). Solve -11*t - 5*t**3 + 3*t + 2 - 2*t**2 - q*t**3 + 14*t**2 + 2*t**4 = 0 for t.
1
Let m(v) = -4*v**3 + 13*v**2 + 8*v - 6. Let y(h) = h**3 - 4*h**2 + 4 - 3*h - 1 - 1. Let r(p) = -4*m(p) - 11*y(p). Factor r(a).
(a - 1)**2*(5*a + 2)
Let z(p) be the third derivative of p**5/140 + 17*p**4/56 + 35*p**2. Factor z(s).
3*s*(s + 17)/7
Let k(t) be the second derivative of t**5/15 - 4*t**4/3 + 10*t**3 - 100*t**2/3 - 32*t - 2. Factor k(v).
4*(v - 5)**2*(v - 2)/3
Let z(k) = -15*k**4 - 16*k**3 + 7*k**2 + 16*k + 15. Let l(s) = -8*s**4 - 8*s**3 + 4*s**2 + 8*s + 8. Let x(v) = 7*l(v) - 4*z(v). Factor x(g).
4*(g - 1)*(g + 1)**3
Let g(o) be the second derivative of 2/33*o**4 + 2/55*o**5 + 0*o**3 + 0*o**2 + 1/165*o**6 + 0 - 8*o. Find z such that g(z) = 0.
-2, 0
Let m(u) be the first derivative of 2*u**5/45 - u**4/6 + 2*u**3/9 - u**2/9 + 3. Solve m(c) = 0.
0, 1
Let t = -1753/2 - -905. Let x(j) be the first derivative of -1 - 4*j**2 - t*j**4 + 56/3*j**3 + 72/5*j**5 + 0*j. Factor x(c).
2*c*(3*c - 2)**2*(4*c - 1)
Let t be (-6)/(-1 - 21/(-27)). Suppose 3*j + 12 = 7*j. Factor -i**j + 27 - t.
-i**3
Let g(j) be the second derivative of j**4/18 - j**2/3 - 4*j. Let g(x) = 0. Calculate x.
-1, 1
Suppose 3*f + 18 - 15 = -y, 0 = 3*y + 5*f + 5. Find b such that -2/3*b - 4/3*b**2 + y - 2/3*b**3 = 0.
-1, 0
Suppose -2*w + 6 = 3*a - 5*a, -w + 5*a = -3. Let h(j) be the third derivative of -1/4*j**4 + 0*j + 1/3*j**w - j**2 - 2/15*j**5 + 0. Factor h(s).
-2*(s + 1)*(4*s - 1)
Let k(o) = -3*o**2 - 2*o - 4. Let w(j) = -10*j**2 - 6*j - 12. Let l(f) = f**2 - 9*f + 3. Let b be l(8). Let i(x) = b*w(x) + 16*k(x). Factor i(h).
2*(h - 2)*(h + 1)
Factor 3*n + 2*n**3 - 10*n**2 - 8*n**3 + 10*n**2 + 3*n**5.
3*n*(n - 1)**2*(n + 1)**2
Let k(h) be the first derivative of 8/9*h**3 + 2 + 1/6*h**4 + 5/3*h**2 + 4/3*h. Determine o, given that k(o) = 0.
-2, -1
Let o(y) be the first derivative of -2*y**3 + 3*y**2 - 2 + 1/2*y**4 - 2*y. Factor o(x).
2*(x - 1)**3
Let l(r) be the third derivative of -r**7/378 + 4*r**6/135 - 2*r**5/15 + 8*r**4/27 - 8*r**3/27 + r**2. Suppose l(k) = 0. What is k?
2/5, 2
Factor -144/5 + 736/5*v - 196*v**2 + 20*v**3.
4*(v - 9)*(5*v - 2)**2/5
Let t(n) be the second derivative of -n**7/420 + n**6/180 + n**5/60 - n**4/12 - n**3 + 6*n. Let v(a) be the second derivative of t(a). Factor v(g).
-2*(g - 1)**2*(g + 1)
Let b(g) be the second derivative of -g**6/300 - 2*g**5/75 - g**4/12 - 2*g**3/15 - g**2 + 4*g. Let w(z) be the first derivative of b(z). Solve w(n) = 0.
-2, -1
Let l be (5 - -1)/(-1 + 2). Let z be (32/l)/((-1)/(-3)). Factor 0 + 8*y - 1 + z*y**2 + 2.
(4*y + 1)**2
Let p(z) be the first derivative of -3*z**4/32 + z**3/8 + 3*z**2/16 - 3*z/8 + 16. Let p(q) = 0. What is q?
-1, 1
Let l(x) = -x - 1. Let h be l(-5). Suppose 0 = -t + h*t. Suppose 5*a**2 + t*a**2 - 3*a**2 + 0*a**2 = 0. Calculate a.
0
Let a(h) be the third derivative of -h**8/141120 - h**7/8820 - h**6/1260 - 7*h**5/60 + 6*h**2. Let w(y) be the third derivative of a(y). Factor w(n).
-(n + 2)**2/7
Suppose 0*l + n + 4 = l, 5*l - 13 = -2*n. Find x, given that -1/2*x + 1/2*x**l + 0 + 1/4*x**4 - 1/4*x**2 = 0.
-2, -1, 0, 1
Let j be (-1)/((-20)/15 - -1). Let a(t) be the third derivative of 1/120*t**5 - j*t**2 - 1/48*t**4 + 0*t + 0 - 1/6*t**3. Find l such that a(l) = 0.
-1, 2
Let k(z) = -10*z + 4. Let p be k(2). Let g = 19 + p. Factor 2/3*i**4 - 2/3*i + 0 - 2/3*i**2 + 2/3*i**g.
2*i*(i - 1)*(i + 1)**2/3
Factor 1/5*k**4 + 0 + 