*2.
-2*s*(s + 2)**2/11
Factor -35*k**2 + 11*k**2 - 12*k**3 + 4*k**5 + 16*k**2.
4*k**2*(k - 2)*(k + 1)**2
Determine j, given that 37/7*j**2 + 9/7 - 30/7*j - 20/7*j**3 + 4/7*j**4 = 0.
1, 3/2
Suppose 21*n = -3 + 87. What is o in -6/7*o**3 + 0*o - 6/7*o**n + 0 - 2/7*o**2 - 2/7*o**5 = 0?
-1, 0
Suppose 0 = -7*a + 2*a - 3*n + 44, -n - 32 = -5*a. Suppose -2*g = -3*k - 5 - 8, k = 2*g - a. Factor -4/5 + 2/5*s**g - 2/5*s.
2*(s - 2)*(s + 1)/5
Determine w, given that 0*w + 0 - 4/9*w**3 + 0*w**2 - 2/9*w**4 = 0.
-2, 0
Let b(s) be the second derivative of s**6/60 + s**5/15 + s**4/12 - 3*s**2/2 - 3*s. Let t(n) be the first derivative of b(n). Suppose t(u) = 0. Calculate u.
-1, 0
Let h(x) be the second derivative of x**7/84 - 7*x**6/90 + 11*x**5/75 - 2*x**4/15 + x**3 + 4*x. Let d(w) be the second derivative of h(w). Factor d(r).
2*(r - 2)*(5*r - 2)**2/5
Let k = 156 - 776/5. Factor 0 - 2/5*l**2 + k*l.
-2*l*(l - 2)/5
Let u(f) be the second derivative of f**8/3360 - f**7/210 + f**6/30 - 2*f**5/15 - 5*f**4/12 - 5*f. Let t(s) be the third derivative of u(s). Factor t(o).
2*(o - 2)**3
Let o(v) be the first derivative of -3*v**5/20 + 3*v**4/8 - 3*v**2/4 + 3*v/4 - 1. Factor o(h).
-3*(h - 1)**3*(h + 1)/4
Let a = 1136/3 - 377. Suppose a*y**2 + 4/3*y**3 + 2/3*y + 1/3*y**4 + 0 = 0. Calculate y.
-2, -1, 0
Suppose -6*r = -4*o - r, -4*o - r = 0. Factor 0*v**3 + 0 - 1/4*v**2 + o*v + 1/4*v**4.
v**2*(v - 1)*(v + 1)/4
Let t(f) = f. Let n(u) = -189*u**3 + 198*u**2 - 16*u - 24. Let z(j) = n(j) + 4*t(j). Factor z(h).
-3*(3*h - 2)**2*(7*h + 2)
Let o be (1 - (0 + -3))/2. Let w be (-102)/(-351) - o/(-13). What is s in w + 8/9*s**2 - 10/9*s - 2/9*s**3 = 0?
1, 2
Let r = 2 - -4. Let f(n) = 4*n**4 + 8*n**3 - 11*n**2. Let m(a) = 2*a**4 + 4*a**3 - 6*a**2. Let g(u) = r*f(u) - 11*m(u). Factor g(v).
2*v**3*(v + 2)
Let z be (-15)/27*(-2)/10. Let t(j) be the first derivative of 0*j + 0*j**3 + 2 - z*j**6 - 2/15*j**5 + 0*j**2 + 0*j**4. Factor t(w).
-2*w**4*(w + 1)/3
Let b(f) = -3*f**2 - 20*f - 17. Let t(q) = -6*q**2 - 39*q - 33. Let v(w) = -9*b(w) + 5*t(w). Factor v(p).
-3*(p + 1)*(p + 4)
Let b(f) be the first derivative of 3 + 0*f + 7/6*f**6 + 27/4*f**4 + 23/5*f**5 + 13/3*f**3 + f**2. Find w such that b(w) = 0.
-1, -2/7, 0
Factor -5*m**2 + 0*m**4 + 6*m**5 + 15*m**4 + 4*m**5.
5*m**2*(m + 1)**2*(2*m - 1)
Factor 3/7*n**2 + 3 + 24/7*n.
3*(n + 1)*(n + 7)/7
Let s = 14 - 18. Let d = s + 6. Find m, given that -d*m - 3 - 1/3*m**2 = 0.
-3
Let z(b) = b**2 - b + 621 - 2*b**2 - 622. Suppose 4*p - u = 20, -4*u + 5*u + 8 = 2*p. Let n(l) = 7*l**2 + 5*l + 6. Let a(g) = p*z(g) + n(g). Factor a(y).
y*(y - 1)
Let k(f) be the third derivative of 2*f**2 + 0*f + 0 + 0*f**4 + 0*f**3 + 1/120*f**5. Let k(z) = 0. What is z?
0
Let m(f) = -3*f**5 + 7*f**4 - 4*f**3 + 2*f. Let u(j) = -5*j**5 - 3 - 9*j**3 + 14*j**4 + 3 + 5*j. Let d(w) = 5*m(w) - 2*u(w). Find p, given that d(p) = 0.
0, 2/5, 1
Suppose -t + 10 = l, -l + 16 = 4*t - 9. Let n(i) be the third derivative of -i**2 - 1/60*i**4 + 0 + 0*i**3 - 1/150*i**l + 0*i. Determine h so that n(h) = 0.
-1, 0
Suppose -6*g = -98 + 2. Find u such that u - 4*u**2 + g*u**2 - 13*u**2 = 0.
0, 1
Let n(x) = 7*x**2 - 7*x + 6. Let q be (2 + -3)*8/(-2). Let h be 1/q - (-15)/(-12). Let w(u) = -u**2 + u - 1. Let d(y) = h*n(y) - 6*w(y). Solve d(o) = 0 for o.
0, 1
Let u(w) be the first derivative of -w**3 + 1/2*w**2 + 0*w - 1/5*w**5 + 3/4*w**4 - 2. Factor u(h).
-h*(h - 1)**3
Let n be (-20)/(-6)*(-15)/(-25). Factor -2/3*s**n - 2*s**4 - 2/3*s**5 + 0*s + 0 - 2*s**3.
-2*s**2*(s + 1)**3/3
Let w(p) be the second derivative of p**6/15 - p**5/10 - p**4/6 + p**3/3 + 3*p. Find a, given that w(a) = 0.
-1, 0, 1
Let l = 111 + -665/6. Let w(c) be the first derivative of 3/5*c**5 + l*c**6 - 3/2*c**2 + 1/2*c**4 - c + 2 - 2/3*c**3. Factor w(n).
(n - 1)*(n + 1)**4
Let q(n) = n**3 - 2*n**2 - 3*n + 2. Let z be q(3). What is w in -8*w**z - 10*w + 4*w + w**2 - 2*w**2 = 0?
-2/3, 0
Let p(l) be the second derivative of l**7/90 + l**6/72 - 4*l**5/45 + l**4/18 - 2*l**2 - 5*l. Let u(h) be the first derivative of p(h). Factor u(q).
q*(q - 1)*(q + 2)*(7*q - 2)/3
What is y in 7*y**2 - 5*y**4 + 6*y**2 - 9*y**4 - 17*y**2 - 18*y**3 = 0?
-1, -2/7, 0
Let x be (0 - -2)*-1 + -7 + 9. Factor 1/2*u + 1/2*u**3 - u**2 + x.
u*(u - 1)**2/2
Determine a, given that 7 - 7 - 3*a - a**2 = 0.
-3, 0
Let q(s) be the first derivative of s**3/5 - 9*s**2/10 + 6*s/5 + 8. Factor q(h).
3*(h - 2)*(h - 1)/5
Suppose -4*a + m - 3 = 4*m, 5*a - 5*m = 40. Let t(c) be the first derivative of -3/4*c**2 - 1/6*c**a + 3 - c. Suppose t(i) = 0. What is i?
-2, -1
Let y(j) = -j**3 + 3*j**2 + j - 3. Let c(m) = -3*m**3 + 2*m**3 - 11*m + 12*m - 1 + m**2. Let s(i) = 2*c(i) - y(i). Solve s(n) = 0 for n.
-1, 1
Suppose -n - 4 = -4*x, 4*n - 6 = 5*x - 0. Let i(l) be the first derivative of -l**2 + x + 0*l - 2/3*l**3. Factor i(a).
-2*a*(a + 1)
Let g(o) = 2*o**4 + 3*o**3 - 2*o**2 - 8*o - 5. Let d(f) = 2*f**4 + 4*f**3 - 2*f**2 - 8*f - 4. Let c(r) = -5*d(r) + 4*g(r). Factor c(h).
-2*h*(h - 1)*(h + 1)*(h + 4)
Let y = -214 + 218. Let 1/4*d + 0 - 1/2*d**y - 1/4*d**5 + 0*d**3 + 1/2*d**2 = 0. What is d?
-1, 0, 1
Let q(r) be the second derivative of 0*r**2 + 0*r**3 - 1/90*r**5 - 1/54*r**4 - 10*r + 0 + 1/189*r**7 + 1/135*r**6. Factor q(f).
2*f**2*(f - 1)*(f + 1)**2/9
Let k be ((-2)/6)/(2/(-12)). Suppose -a**2 + a**4 + 2 - k + 0*a**5 - a**3 + a**5 = 0. Calculate a.
-1, 0, 1
Let b(c) = -3*c - 4. Let l(p) = -p**2 + 2*p + 3. Let d(s) = -3*b(s) - 4*l(s). Factor d(y).
y*(4*y + 1)
Let p be (-54 - -58) + (-1 - 1) + 1. Let u(a) be the second derivative of 1/24*a**4 + 0 - p*a + 1/6*a**3 - 1/20*a**5 + 0*a**2 - 1/60*a**6. Factor u(g).
-g*(g - 1)*(g + 1)*(g + 2)/2
Let b(y) = 4 + y**2 - 3*y**4 - 6*y**2 + 7*y**4 + 3*y - 3*y**3. Let j(s) = 9*s**4 - 7*s**3 - 11*s**2 + 7*s + 9. Let n(h) = -7*b(h) + 3*j(h). Factor n(q).
-(q - 1)**2*(q + 1)**2
Suppose u + 3*t + 0*t - 6 = 0, -2*u + t = 16. Let k be ((-6)/(-9))/((-1)/u). Find a, given that 0*a**2 + 0 + 1/4*a**k + 0*a + 1/4*a**3 = 0.
-1, 0
Factor x + 1/3*x**3 - 4/3*x**2 + 0.
x*(x - 3)*(x - 1)/3
Let n = -38 - -53. Let r = n + -10. Solve d**3 - d**5 - 2*d**r - 2*d**4 + 4*d**5 = 0.
0, 1
Let t(o) be the second derivative of 3*o**4/7 + 4*o**3/7 + 2*o**2/7 - 2*o. Factor t(u).
4*(3*u + 1)**2/7
Factor 0*u + 0 + 0*u**2 - 6/11*u**3.
-6*u**3/11
Factor -u**4 - 4*u**2 - 5*u**2 - 28 - 5*u**3 - 7*u + 26.
-(u + 1)**3*(u + 2)
Let c(r) be the third derivative of r**5/240 + r**4/48 - 3*r**2. Let c(f) = 0. What is f?
-2, 0
Suppose 5*w + 25 = -5*g, g = -2*g - 5*w - 25. Factor 1/3*y**4 + 0 - 2/3*y**2 + 1/3*y**3 + g*y.
y**2*(y - 1)*(y + 2)/3
Let s = 5 + -14. Let l be -1 - s*(-6)/(-9). Determine d so that 0*d**2 + 2/3*d**3 + 0 - 1/3*d**4 - 1/3*d**l + 0*d = 0.
-2, 0, 1
Let r(s) = -s**3 + 84*s**2 + 540*s + 1080. Let t(n) = -85*n**2 - 540*n - 1080. Let y(f) = 5*r(f) + 6*t(f). Suppose y(m) = 0. What is m?
-6
Let p(z) be the second derivative of 1/168*z**7 + 0*z**2 + 1/48*z**4 + 0 - 2*z + 1/40*z**6 + 3/80*z**5 + 0*z**3. Factor p(v).
v**2*(v + 1)**3/4
Let g(f) be the second derivative of f**8/1344 - f**6/480 + f**2/2 - f. Let d(v) be the first derivative of g(v). Suppose d(k) = 0. What is k?
-1, 0, 1
Let f(o) be the second derivative of o + 0 + 1/30*o**4 - 2/5*o**2 - 3/50*o**5 + 1/75*o**6 + 1/5*o**3. Factor f(h).
2*(h - 2)*(h - 1)**2*(h + 1)/5
Suppose 0 = -5*z - 20 + 85. Let t(k) be the first derivative of -28/5*k**5 - 4*k + 1 - 16*k**3 + 11*k**2 + z*k**4 + k**6. Suppose t(w) = 0. What is w?
2/3, 1
Let k(a) = 13*a**3 + 22*a**2 - 25*a - 12. Let v(i) = -12*i**3 - 23*i**2 + 25*i + 13. Let n(y) = 3*k(y) + 2*v(y). Solve n(j) = 0.
-2, -1/3, 1
Let t(d) = -d**3 + 10*d**2 - 6*d - 7. Let b be t(9). Let w be 51/9 + b/(-12). Determine c so that 0 - 2/3*c**2 + 2*c**3 + 0*c + 2/3*c**5 - 2*c**w = 0.
0, 1
Let m(v) be the second derivative of v**6/15 - v**5/5 + 14*v. Let m(w) = 0. Calculate w.
0, 2
Suppose 0*v + 3*v = 6. Suppose -v*s - 10 = -2*a, -3*a + 8 = 3*s + s. Factor 2/7*r**2 + 0*r - 4/7*r**3 + 0 + 2/7*r**a.
2*r**2*(r - 1)**2/7
Suppose -2*p - 167 = 5*h, 0*h - 2*h - 3*p = 69. Let r be (-2)/3 + (-88)/h. Factor -o**r + 1 - 1/2*o + 1/2*o**3.
(o - 2)*(o - 1)*(o + 1)/2
Let r(j) be the third derivative of -j**10/75600 + j**9/15120 - j**7/1260 + j**6/360 + j**5/30 - 2*j**2. Let t(b) be the third derivative of 