0 - 7*q**2 + 0*q - 1/150*q**5 + 1/20*q**4. Factor z(k).
-2*(k - 2)*(k - 1)/5
Let y(g) be the third derivative of 0 - 4/105*g**7 + g**2 + 0*g + 1/10*g**6 - 3/40*g**5 + 0*g**3 + 1/48*g**4. Factor y(s).
-s*(s - 1)*(4*s - 1)**2/2
Suppose -26 = -2*s - 2*f, 3*f - 15 = -5*s + 54. Let o be s/12 + (-1)/2. Factor 3*r**3 + 9/2*r**2 + o + 3*r + 3/4*r**4.
3*(r + 1)**4/4
Suppose 4*a = 9*a - 10. Let j be (-1)/1 + (-5)/(-4). Let 0*h**a + 1/2*h**3 - j + 1/4*h**4 - 1/2*h = 0. Calculate h.
-1, 1
Let a(s) be the second derivative of s**7/84 - 7*s**6/120 + 9*s**5/80 - 5*s**4/48 + s**3/24 - 2*s. Factor a(t).
t*(t - 1)**3*(2*t - 1)/4
Let f(j) be the first derivative of j**9/4536 + j**8/840 + j**7/420 + j**6/540 + 2*j**3/3 + 2. Let m(u) be the third derivative of f(u). Solve m(i) = 0 for i.
-1, 0
Suppose 5*b - 2*d = -3*d - 53, -42 = 3*b + 4*d. Let g be 8/20*b/(-12). Factor 0 + 0*c + g*c**2.
c**2/3
Factor 0*v - 18/5 + 2/5*v**2.
2*(v - 3)*(v + 3)/5
Suppose -2*l = -6*l - 252. Let o be (-2)/7 + (-18)/l. Factor 0 + 2/11*q**2 + 2/11*q**4 + o*q - 4/11*q**3.
2*q**2*(q - 1)**2/11
Let s(n) = n**2 - n - 2. Let x be s(3). Suppose -3*k**2 - 6*k - x*k**2 + 5*k**2 - 4 = 0. Calculate k.
-2, -1
Let z(n) be the third derivative of 27*n**6/160 + 33*n**5/40 + 19*n**4/24 + n**3/3 - 34*n**2. Determine a so that z(a) = 0.
-2, -2/9
Let p = -1 + 3. Suppose 0 = -2*v + 7*v - q - 5, -3*v + 16 = p*q. Let -16*y**3 + 4*y + 4 - 10*y**4 - 4 - 2*y**v = 0. Calculate y.
-1, 0, 2/5
Let s(c) = -c**2 + c**2 - 7*c**2 - 7*c**2 + 4*c + 6*c**3. Let g(k) = k**2 - 2*k**3 + k**3 + 0*k**2. Let o(z) = 12*g(z) + s(z). Factor o(m).
-2*m*(m + 1)*(3*m - 2)
Suppose -2*o + 17 = 5. Let x = o - 4. Factor x*v**2 - 2*v**3 - 4*v**2 + 2*v + 1 + 1 + 0*v.
-2*(v - 1)*(v + 1)**2
Let h(l) = -l**5 + l**4 + 7*l**3 - 19*l**2 + 6*l. Let u(a) = -3*a**2. Let y(p) = -3*h(p) + 6*u(p). Determine w so that y(w) = 0.
-3, 0, 1, 2
Let w = -13 + 7. Let c(n) = -n**2 - n. Let q(o) = -5*o**2 - 6*o. Let i(x) = w*c(x) + q(x). Solve i(f) = 0 for f.
0
Let t(c) = c**4 + c**3 + c**2 + c. Let s(y) = 3*y**4 + y**3 + 6*y**2 + 16*y + 8. Let k(u) = 3*s(u) - 12*t(u). Solve k(r) = 0.
-2, -1, 2
Let s(j) = 17*j**4 + 7*j**3 + 11*j**2 - 7*j. Suppose 0 = p - 13 + 9. Let l(r) = 9*r**4 + 3*r**3 + 6*r**2 - 4*r. Let q(h) = p*s(h) - 7*l(h). Factor q(m).
m**2*(m + 1)*(5*m + 2)
Let i(s) be the third derivative of 1/120*s**5 + s**2 - 1/420*s**7 + 0 + 0*s + 1/1344*s**8 - 1/96*s**4 + 0*s**3 + 0*s**6. Let i(q) = 0. What is q?
-1, 0, 1
Let z be ((-6)/7)/((-117)/182). Let q = 518/3 + -146. Suppose 100/3*l**3 + z + q*l**2 + 20*l**4 + 10*l + 14/3*l**5 = 0. Calculate l.
-1, -2/7
Let r(g) be the second derivative of -7*g**6/90 - g**5/30 + 7*g**4/36 + g**3/9 + 7*g. What is k in r(k) = 0?
-1, -2/7, 0, 1
Let q(p) be the third derivative of -1/600*p**6 + 0*p + 0*p**3 + 0*p**5 + 0 + 7*p**2 + 1/120*p**4. Factor q(l).
-l*(l - 1)*(l + 1)/5
Factor -24/11*v**2 - 4/11 + 2*v - 18/11*v**3.
-2*(v + 2)*(3*v - 1)**2/11
Let h be 0/(0 - (1 - 2)). Suppose -4*t + 3*t + 3 = h. Factor -t + 3 - 2*p**3.
-2*p**3
Suppose 0 = 4*q - 2*q. Suppose 5*s + q*s = 0. Factor -1/3*l**5 - 1/3*l + 0*l**2 + 0*l**4 + s + 2/3*l**3.
-l*(l - 1)**2*(l + 1)**2/3
Suppose -h + 4*k - 26 = -6*h, 3*h + 3*k = 18. Suppose -2*j = -b + 3*j - 25, b + 5*j - 25 = 0. Factor -2*u**2 - u + u**h - u**2 + b*u.
-u*(2*u + 1)
Let j be -1 + (-8)/6 + -8 + 11. Solve -j*c**2 + 0 + 4/3*c = 0.
0, 2
What is m in 8 - 7 - 2*m**2 - m**2 + 2 = 0?
-1, 1
Let g be (14/((-252)/27))/(3/(-4)). Let 0*r + 0*r**4 + 0*r**g + 0 - 3/5*r**3 + 3/5*r**5 = 0. Calculate r.
-1, 0, 1
Suppose 4*i - 4 = -d + 17, 1 = d - i. Suppose 3*v**3 - 9*v**d + 10*v**4 - 3*v**2 + 5*v**4 + 18*v**5 = 0. What is v?
-1, 0, 1/3
Let d(l) = 4*l**3 - 11*l**2 - 3*l. Let n(j) = 3*j**3 - 12*j**2 - 3*j. Let f(k) = 6*d(k) - 5*n(k). Solve f(v) = 0.
-1/3, 0, 1
Let r(d) = d**2 - d + 1. Let n(i) = 14*i**3 + 44*i**2 + 42*i + 6. Let q(v) = -v**2 + v + 2. Let b be q(-2). Let p(y) = b*r(y) - 2*n(y). Factor p(k).
-4*(k + 1)*(k + 2)*(7*k + 2)
Let y(p) be the first derivative of -7*p**4/12 + 2*p**3/3 + 3*p**2/2 - 8*p/3 - 14. Find i, given that y(i) = 0.
-8/7, 1
Let c(w) be the second derivative of w**8/6720 - w**7/1680 + w**5/240 - w**4/96 + w**3/6 - 3*w. Let b(o) be the second derivative of c(o). Factor b(u).
(u - 1)**3*(u + 1)/4
Factor 4/3 - 8/3*g**2 + 14/3*g.
-2*(g - 2)*(4*g + 1)/3
Let u(p) = 30*p - 2. Let n be u(-1). Let k be (-1 + 2)/((-8)/n). Suppose -4/3*a + 4/3*a**3 - 2/3 + 2/3*a**k + 0*a**2 = 0. What is a?
-1, 1
Factor -161/4*o**3 + 417/8*o**2 - 41/2*o + 5/2 + 49/8*o**4.
(o - 5)*(o - 1)*(7*o - 2)**2/8
Let -1/7*c + 2/7*c**4 + 0 + 3/7*c**3 + 0*c**2 = 0. What is c?
-1, 0, 1/2
Let r be 5/14*696/435. Factor r*z**2 + 2/7*z**3 + 0*z + 0.
2*z**2*(z + 2)/7
Let a(r) = r + 14. Let y be a(-9). Factor 3*i + 0*i**y - 2*i**3 - i**5 + 1 - 3*i**4 + 3*i**2 + 0*i**2 - i**2.
-(i - 1)*(i + 1)**4
Let v(w) be the third derivative of -w**5/150 + w**4/3 - 20*w**3/3 + 39*w**2. Factor v(c).
-2*(c - 10)**2/5
Let k(w) = -25*w**4 + 25*w**3 - 9*w + 9. Let o(t) = -6*t**4 + 6*t**3 - 2*t + 2. Let x(l) = -2*k(l) + 9*o(l). Factor x(q).
-4*q**3*(q - 1)
Let l(n) = n**4 + n**2 + n - 1. Let y(v) = v**4 + 9*v**2 - v - 3. Let a(i) = -6*l(i) + 2*y(i). Find g, given that a(g) = 0.
-2, 0, 1
Let t(j) = -j**5 + 17*j**4 - j**3 - 7*j**2 - 3*j + 5. Let s(v) = -2*v**5 + 50*v**4 - 2*v**3 - 22*v**2 - 10*v + 14. Let m(i) = 5*s(i) - 14*t(i). Factor m(x).
4*x*(x - 1)*(x + 1)**2*(x + 2)
Suppose -2*x = 0, 3*x + 0 = -4*b + 36. Factor 3*h + 0*h + 0*h + b*h**2 + 9*h**3 + 3*h**4.
3*h*(h + 1)**3
Let g(o) = -4*o - 18. Let i be g(-5). Let p(s) be the third derivative of -2*s**i + 1/9*s**3 + 0*s**5 + 1/24*s**4 + 0*s - 1/360*s**6 + 0. Factor p(l).
-(l - 2)*(l + 1)**2/3
Suppose -2*t - 5 = i, 3*t = -t - 5*i + 5. Let d be (6/t)/(54/(-20)). Factor 2/9*x**5 + d*x**4 - 2/9*x - 4/9*x**2 + 0 + 0*x**3.
2*x*(x - 1)*(x + 1)**3/9
Let u(p) be the second derivative of 3*p**5/10 - p**4/3 - p**3 + 2*p**2 + p. Factor u(j).
2*(j - 1)*(j + 1)*(3*j - 2)
Let f(d) be the first derivative of 1/3*d - 3 + 1/3*d**2 + 1/9*d**3. Let f(v) = 0. What is v?
-1
Let c be 8/(-14)*(29 + -30). Find o such that -c + 10/7*o - 6/7*o**2 = 0.
2/3, 1
Let u(p) be the third derivative of -p**8/3360 + p**7/840 - p**6/480 + p**5/480 - p**4/8 + 3*p**2. Let w(o) be the second derivative of u(o). Factor w(n).
-(2*n - 1)**3/4
Let c = 1082/9 + -120. Let s = 152/9 + -148/9. Suppose -c - 2/9*p**2 + s*p = 0. What is p?
1
Let d(p) be the third derivative of 1/420*p**7 + p**2 + 0 - 1/12*p**4 + 0*p**5 + 1/80*p**6 + 0*p**3 + 0*p. Factor d(x).
x*(x - 1)*(x + 2)**2/2
Let p(f) be the first derivative of -1/9*f**3 + 2 + 1/3*f**2 - 1/3*f. Find s, given that p(s) = 0.
1
Let o be (2 - (-7)/(-5)) + 14/(-40). Factor -o*x - 1/8*x**2 + 0.
-x*(x + 2)/8
Let z be (2/28)/((-90)/(-63)). Let v(b) be the third derivative of 0 + 3*b**2 - 1/4*b**4 + 1/2*b**3 + 0*b + z*b**5. Factor v(t).
3*(t - 1)**2
Let l(z) be the third derivative of 2*z**7/525 + 32*z**6/75 + 512*z**5/25 + 8192*z**4/15 + 131072*z**3/15 - 27*z**2. Factor l(j).
4*(j + 16)**4/5
Let m = -1 + -4. Let b(f) = -f**4 - f**3 - 5*f**2 + 5*f - 5. Let g(p) = 0 - 3*p**2 + p - 3 + 2*p. Let i(k) = m*g(k) + 3*b(k). Factor i(z).
-3*z**3*(z + 1)
Factor 69*o**4 + 67*o**4 + 16*o - 140*o**4 - 12*o**3.
-4*o*(o - 1)*(o + 2)**2
Factor u + u**2 + 5*u - 4*u**2.
-3*u*(u - 2)
Solve 0*y**3 + 0 - 4/7*y - 6/7*y**2 + 2/7*y**4 = 0.
-1, 0, 2
Factor -9/8*l + 5/4*l**2 + 0 - 1/8*l**3.
-l*(l - 9)*(l - 1)/8
Let h be (-40)/(-90)*18/4. Factor 2*b + 4 - 14*b**h - 15*b - b + 24*b**3.
2*(b - 1)*(3*b + 2)*(4*b - 1)
Let c(t) be the first derivative of -2*t + 2/3*t**3 + t**2 - 1/2*t**4 - 7. Determine f so that c(f) = 0.
-1, 1
Let o be (1 + -2)/(1/20). Let h be ((-12)/9)/(o/18). Factor 0 - 6/5*q**4 - 2/5*q**5 - h*q**3 - 2/5*q**2 + 0*q.
-2*q**2*(q + 1)**3/5
Let q(f) be the first derivative of -f**4/8 + 2*f**3/3 - 5*f**2/4 + f + 8. What is k in q(k) = 0?
1, 2
Let a(r) = -5*r**2 - 4*r. Let l(b) be the third derivative of -b**5/20 - b**4/12 - 3*b**2. Let x(f) = 4*a(f) - 7*l(f). Let x(u) = 0. Calculate u.
0, 2
Let o(y) be the third derivative of y**7/525 - y**6/75 + y**5/50 + y**4/15 - 4*y**3/15 + 8*y**2. Factor o(g).
2*(g - 2)**2*(g - 1)*(g + 1)/5
Let i = -134/7 + 409/21. Factor 2/3*a**2 + 1/3*a**3 + i*a + 0.
a*(a + 1)**2/3
Fac