ive of 6*y**7/7 - 32*y**6/15 + y**5 + 2*y**4/3 - 44*y. Factor z(q).
4*q**2*(q - 1)**2*(9*q + 2)
Factor 22*n + 26*n + 12*n**2 + 64 + 3*n**3 + 4*n**3 - 6*n**3.
(n + 4)**3
Find k such that -61/2*k**3 + 9*k - 33/2*k**4 - 5/2*k**5 - 15/2*k**2 + 0 = 0.
-3, -1, 0, 2/5
Let j be (1/3)/((-8)/(-48)). Find b such that j*b**4 + b**3 - b**2 - b**2 + 2*b - 3*b**3 = 0.
-1, 0, 1
Let w(f) = 8*f**2 - 11*f + 8. Let o(d) = 17*d**2 - 23*d + 17. Let y(p) = 14*p**3 - 2*p + 1. Let k be y(1). Let i(v) = k*w(v) - 6*o(v). Factor i(a).
(a - 2)*(2*a - 1)
Suppose -6*m + 318 = 306. Suppose 1/4*u - 1/4*u**3 - 1/4 + 1/4*u**m = 0. Calculate u.
-1, 1
Let k = -1 - -3. Let s(l) be the third derivative of 1/240*l**6 - 1/48*l**4 - k*l**2 + 0*l**5 + 0*l + 0 + 0*l**3. Solve s(i) = 0 for i.
-1, 0, 1
Let q = -213 + 1495/7. Let j be 4/(-42) + 2/3. Find f such that -2/7*f**4 + j*f**3 - 2/7*f - 2/7 - 2/7*f**5 + q*f**2 = 0.
-1, 1
Let p be 1 + 3 + 24/(-6). Factor -2/9*c**5 - 2/9*c**4 + p*c**2 + 0*c**3 + 0 + 0*c.
-2*c**4*(c + 1)/9
Let s(o) be the first derivative of o**4/8 + o**3/3 + o**2/4 + 7. Solve s(b) = 0 for b.
-1, 0
Let s be -2 + (-4)/(-8)*4. Factor 2/3*b**4 + s + 1/3*b**5 + 0*b**2 + 0*b + 1/3*b**3.
b**3*(b + 1)**2/3
Suppose 3*f - 1 + 5 = 2*b, 0 = -3*f. Determine a, given that 6*a - 5*a**b + 0*a - 3*a**3 + a**2 + a**2 = 0.
-2, 0, 1
Let w(q) = q**3 + q**2. Let m(p) = -3*p**3 + p**2 + 4*p. Let a(o) = m(o) + 5*w(o). Factor a(t).
2*t*(t + 1)*(t + 2)
Factor -28*a**2 - 375 - 146*a - 17*a**2 - 3*a**3 - 79*a.
-3*(a + 5)**3
Let n(y) be the second derivative of y**5/110 - y**4/66 - 2*y**3/33 + 3*y. Find f such that n(f) = 0.
-1, 0, 2
Suppose 4*p + 2*s - 8 = 0, 0 = 3*p - 6*p - 4*s + 1. Let g(a) be the first derivative of 2 + 7/4*a**p - 3/2*a + 15/8*a**2. What is u in g(u) = 0?
-1, 2/7
Let g(l) be the third derivative of -1/270*l**5 + 7*l**2 + 0*l + 0 + 1/108*l**4 + 2/27*l**3. Solve g(i) = 0 for i.
-1, 2
Factor 5*s**2 - 88*s**3 + 92*s**3 - 12*s + 3*s**2.
4*s*(s - 1)*(s + 3)
Let -1/2*x + 3 - 1/2*x**2 = 0. Calculate x.
-3, 2
Suppose 5*l + 5*i + 6 = -4, -14 = -5*l + i. Let z = 292 + -1167/4. Suppose -z*v**l + 0 + 1/4*v = 0. What is v?
0, 1
Let j(p) be the second derivative of p**8/560 - p**6/60 + p**4/8 - p**3/2 + 3*p. Let q(m) be the second derivative of j(m). Factor q(k).
3*(k - 1)**2*(k + 1)**2
Factor -2/9*r**3 - 4/9*r**4 + 0*r + 0*r**2 + 0 + 2/3*r**5.
2*r**3*(r - 1)*(3*r + 1)/9
Let s = 62/15 - 10/3. What is t in 2/5 + s*t**2 - 1/5*t**3 - t = 0?
1, 2
Factor -2/13*o**2 + 0*o + 2/13*o**3 - 2/13*o**5 + 0 + 2/13*o**4.
-2*o**2*(o - 1)**2*(o + 1)/13
Factor 25*j**2 - 9*j + 41*j**3 + 20*j**4 + 14*j**3 - j.
5*j*(j + 1)*(j + 2)*(4*j - 1)
Factor 9/7*m**2 + 12/7*m + 4/7.
(3*m + 2)**2/7
Factor 0 - 2/3*h + 4/3*h**4 + 2*h**3 + 0*h**2.
2*h*(h + 1)**2*(2*h - 1)/3
Let 1/6*z - 1/6*z**2 + 1/3 = 0. Calculate z.
-1, 2
Let n(b) = 3*b - 8. Let a be n(10). Let o be (-630)/(-77) + (-4)/a. Factor -o*p**4 + 18*p**3 - 15*p - 12*p**2 - 3 + 23*p**4 - 3*p.
3*(p - 1)*(p + 1)**2*(5*p + 1)
Let h(w) be the second derivative of w**4/18 - w**3/3 + 2*w. Factor h(a).
2*a*(a - 3)/3
Let c = -23 + 23. Factor -2/3*p**2 - 4/3*p + c.
-2*p*(p + 2)/3
Let s be (-1)/5*140/(-112). Let -s*a**2 + 0 + 1/4*a = 0. Calculate a.
0, 1
Let i(u) = u**3 + u**2 - 3*u + 3. Let b(x) = -2*x**3 - 3*x**2 + 7*x - 7. Let g(h) = -6*b(h) - 15*i(h). Let g(s) = 0. Calculate s.
-1, 1
Let b be 4 + -8 - (-41)/10. Let x = 7/30 + b. Factor 0*i + i**5 - x*i**2 + 0 + 5/3*i**4 + 1/3*i**3.
i**2*(i + 1)**2*(3*i - 1)/3
Let s be -2*1 + 12 + -6. Determine z so that -z**2 + 0*z**4 - 3*z**4 + 2*z**s + 2*z**3 = 0.
0, 1
Let z(l) be the third derivative of -l**8/168 - 2*l**7/35 - 7*l**6/30 - 8*l**5/15 - 3*l**4/4 - 2*l**3/3 + 4*l**2. What is m in z(m) = 0?
-2, -1
Let q(n) be the first derivative of n**8/9240 - n**6/660 - n**5/330 - 2*n**3 + 6. Let u(a) be the third derivative of q(a). Find t, given that u(t) = 0.
-1, 0, 2
Suppose -t = -4*h - 2*t + 5, 5*h = -5*t - 5. Factor 1/2*n**3 - 3/2*n - 1 + 0*n**h.
(n - 2)*(n + 1)**2/2
Let z be (2 + (-2 - -2))/1. Let b = 4 - z. Suppose 4/5*a**b + 2/5*a**3 - 2/5*a**4 + 0*a + 0 = 0. Calculate a.
-1, 0, 2
Let u(i) be the first derivative of -i**4/10 - 2*i**3/5 - 2*i**2/5 + 3. What is x in u(x) = 0?
-2, -1, 0
Determine r so that 0*r + 0 + 0*r**2 - 2/7*r**3 + 2/7*r**4 = 0.
0, 1
Let o(i) be the first derivative of -1/2*i**4 - 2/5*i**5 + 5 + 2/3*i**3 + 0*i + i**2. Suppose o(s) = 0. Calculate s.
-1, 0, 1
Let g(t) be the first derivative of t**5/90 - t**4/18 + t**3/9 + 2*t**2 + 3. Let r(w) be the second derivative of g(w). Suppose r(k) = 0. Calculate k.
1
Let l(h) be the second derivative of -1/12*h**3 + 1/48*h**4 + 1/8*h**2 + 0 + 3*h. Factor l(o).
(o - 1)**2/4
Let c(m) be the second derivative of -m**5/10 - m**4/3 + m**3/3 + 2*m**2 + 2*m. Find j, given that c(j) = 0.
-2, -1, 1
Suppose 3*u + 2*u = 0, -5*k + 10 = 5*u. Let z(o) be the first derivative of 0*o + 0*o**k - 2 + 0*o**3 - 1/4*o**4. Solve z(j) = 0.
0
Let j(f) = -f**2 - 1 - 4*f**2 + 4*f**2 - 5*f. Let t be j(-4). Suppose 8*n + 2/3*n**t + 4*n**2 + 16/3 = 0. Calculate n.
-2
Let l(c) be the first derivative of 3 - 4/3*c - 27/4*c**4 - 13*c**3 - 20/3*c**2. What is g in l(g) = 0?
-1, -2/9
Let n(o) be the third derivative of -o**8/560 + o**7/70 - 7*o**6/200 - o**5/100 + o**4/5 - 2*o**3/5 - 23*o**2. Suppose n(x) = 0. Calculate x.
-1, 1, 2
Let l(q) be the first derivative of 7/12*q**3 + 1/4*q**2 + 2 + 0*q. Factor l(v).
v*(7*v + 2)/4
Let c(o) be the first derivative of 5*o**4/4 - 5*o**3 + 15*o**2/2 - 5*o - 13. Suppose c(m) = 0. Calculate m.
1
Let h = -85 - -87. Suppose 0 + 1/2*q**3 - 1/2*q**h + 0*q = 0. Calculate q.
0, 1
Let h be 486/120 + (5 + -1)/(-1). Let l(a) be the first derivative of 0*a + 2 + 1/24*a**6 + 0*a**3 - h*a**5 + 0*a**4 + 0*a**2. Factor l(d).
d**4*(d - 1)/4
Let b be (2 - -1)*56/3. Let l = -223/4 + b. Suppose 0*u**2 - l*u**4 + 0 - 1/4*u**3 + 0*u = 0. Calculate u.
-1, 0
Let n = 245 - 2693/11. Factor -6/11*m + 2/11 + n*m**5 + 4/11*m**3 - 6/11*m**4 + 4/11*m**2.
2*(m - 1)**4*(m + 1)/11
Solve -5*r**3 + 3*r**2 - r**2 + 3*r**2 = 0.
0, 1
Let c(t) be the second derivative of 0*t**3 + 0*t**2 + 3*t + 1/10*t**5 + 1/12*t**4 + 1/30*t**6 + 0. Solve c(g) = 0.
-1, 0
Let s = -7 - -10. Factor -3*w**2 + 2*w - s*w + 7*w.
-3*w*(w - 2)
Let o(a) be the second derivative of a**7/1260 + a**6/120 + a**5/30 + 5*a**4/12 - 4*a. Let g(z) be the third derivative of o(z). Factor g(y).
2*(y + 1)*(y + 2)
Let m(d) be the second derivative of -1/15*d**6 + 8/3*d**3 + 2/3*d**4 + 0 - 1/5*d**5 + 0*d**2 - 4*d. Let m(x) = 0. Calculate x.
-2, 0, 2
Let o be (0 + 0)/3 + 1. Let j be o + 1 - 0/1. Factor 2 + 2*y**4 + j*y - 2*y**2 - 2 - 2*y**3.
2*y*(y - 1)**2*(y + 1)
Let z(c) be the second derivative of c**7/273 - 4*c**6/195 + 3*c**5/65 - 2*c**4/39 + c**3/39 + 10*c. Factor z(d).
2*d*(d - 1)**4/13
Let -2/25*k**4 + 2/25*k**3 + 0*k**2 + 0*k + 0 = 0. Calculate k.
0, 1
Let n(r) be the first derivative of -2*r - 4*r**3 + 2*r**4 - 6 - 2/5*r**5 + 4*r**2. Factor n(k).
-2*(k - 1)**4
Factor -16/3*r**2 + 0 + 4/3*r + 4*r**3.
4*r*(r - 1)*(3*r - 1)/3
Let w(t) be the second derivative of -t**7/14 + 3*t**6/10 - 9*t**5/20 + t**4/4 + 3*t - 3. Factor w(o).
-3*o**2*(o - 1)**3
Let p(m) = -m + 7. Let h be p(5). Let o = -1618/9 - -180. Factor 2/9*x**h + 0 - o*x**3 - 2/9*x**4 + 2/9*x.
-2*x*(x - 1)*(x + 1)**2/9
Let r(x) be the third derivative of x**6/100 + x**5/50 - x**4/5 - 4*x**3/5 - 5*x**2. Suppose r(b) = 0. Calculate b.
-2, -1, 2
Let y(z) = -z**5 - 5*z**3 - z**2 + 4. Let v be (4/6)/(2/(-6)). Let i(t) = -t**4 + t**3 + t**2 + t - 1. Let x(d) = v*y(d) - 6*i(d). Factor x(c).
2*(c - 1)*(c + 1)**4
Let f(l) be the third derivative of -l**8/1512 - l**7/945 + l**6/270 - l**2. Find w, given that f(w) = 0.
-2, 0, 1
Let d be (-1)/(3 - 20/6). Suppose -12 = -5*y - n, -2*y = d*y + 5*n - 20. Let 0 + 2/3*w**2 + y*w**3 - 4/3*w = 0. What is w?
-1, 0, 2/3
Suppose -4 = -4*n + 4*m - m, 4 = m. Let u(h) be the third derivative of 0 + 0*h - 1/20*h**5 + 1/72*h**6 - 5/72*h**n + 1/9*h**3 + 1/90*h**7 - h**2. Factor u(l).
(l - 1)*(l + 1)**2*(7*l - 2)/3
Let w be (-627)/(-1584) + 3/(-48). Factor w*r**2 - 1/3*r - 2/3.
(r - 2)*(r + 1)/3
Suppose 0 = -4*q + 6 + 6. Let 3*w**5 - 3*w**4 - 4*w**q + 9*w**4 + 7*w**3 = 0. What is w?
-1, 0
Factor 18*c + 2*c**3 + 0*c**3 - 12*c - 8*c.
2*c*(c - 1)*(c + 1)
Let 