k**2. Factor h(s).
-3*s*(s - 1)**2/7
Let z = -1/121 - -3271/484. Factor -z - 9/2*l - 3/4*l**2.
-3*(l + 3)**2/4
Suppose 4*x + n - 17 = 0, 0*n = -3*x + n + 11. Factor -2*t**x - 2*t**3 - 3*t**3 + t**3 - 2*t**2.
-2*t**2*(t + 1)**2
Let x be (3 + 3)*(-4)/(-6). Let m(v) be the third derivative of 1/9*v**3 + 0*v - 1/18*v**5 + v**2 + 0 + 1/72*v**x. Let m(w) = 0. Calculate w.
-2/5, 1/2
Let g(k) be the second derivative of k**6/720 + k**5/120 + k**4/48 + 7*k**3/6 - 7*k. Let w(a) be the second derivative of g(a). Find t such that w(t) = 0.
-1
Suppose -15*b - 5 = -5. Factor b + 2/5*c**3 + 0*c + 1/5*c**2 + 1/5*c**4.
c**2*(c + 1)**2/5
Let k(z) be the third derivative of -z**6/540 + z**5/45 - z**4/12 + 3*z**2. Let k(r) = 0. What is r?
0, 3
Let o be -6 + 3 + (3 - 5). Let v be o/35 + (-1)/(-7). Let -1/3 + 0*y**3 - 1/3*y**4 + 2/3*y**2 + v*y = 0. Calculate y.
-1, 1
Let o(u) = -2*u**3 - 7*u**2 + 10*u + 3. Let v(w) = -w**3 + 1. Let y(i) = 2*o(i) - 6*v(i). Determine x so that y(x) = 0.
0, 2, 5
Let h(u) = u**3 - u**2 + u - 1. Let r be (0 - 8/20)*5. Let i(k) = -4*k**2 + 4*k. Let j(q) = r*i(q) + 4*h(q). Find t, given that j(t) = 0.
-1, 1
Let m(u) be the first derivative of -3*u + 0*u**5 + 5 + u**3 - 1/4*u**6 - 9/4*u**2 + 3/2*u**4. Suppose m(t) = 0. What is t?
-1, 1, 2
Let n(r) be the third derivative of 0*r**3 + 0*r + 1/60*r**5 + r**2 + 1/24*r**4 + 0. Factor n(m).
m*(m + 1)
Let v = 17 - 17. Find m such that v - 2/5*m**2 + 0*m = 0.
0
Let q(n) = n**2 + 6*n + 3. Let v be q(-6). Factor -2*y**5 - 2*y**3 + 0*y**3 + 4*y**v.
-2*y**3*(y - 1)*(y + 1)
Solve -a - 3 - 3*a**2 - 5*a + 0 = 0 for a.
-1
Let h(u) = -u**4 - 2*u**3 + 1. Let w(o) = 3*o**4 + 11*o**3 - o**2 + 0*o**2 - 5 + 3*o**4. Let g(v) = -11*h(v) - 2*w(v). Factor g(b).
-(b - 1)**2*(b + 1)**2
Let m be ((-3)/(-12))/(21/98). Let q be (-15)/9 - (-5 + 3). Factor -m*d**2 - q + 3/2*d.
-(d - 1)*(7*d - 2)/6
Let i(x) = -14*x**3 + 4*x**2 + 2*x - 16. Let j(o) = -o**3 - 1. Let t(z) = i(z) - 12*j(z). Determine k, given that t(k) = 0.
-1, 1, 2
Let s(b) be the second derivative of -b**7/280 + 3*b**5/40 - b**4/4 + 2*b**3/3 + 5*b. Let w(j) be the second derivative of s(j). Factor w(n).
-3*(n - 1)**2*(n + 2)
Let r = 49 + -340/7. Determine n so that 0*n + 3/7*n**3 + r*n**4 + 0*n**2 + 0 = 0.
-1, 0
Factor -8/3*y**3 + 5/3*y**4 + 1/3*y**2 + 0 + 2/3*y.
y*(y - 1)**2*(5*y + 2)/3
Let p(n) be the second derivative of n**4/20 - n**3/5 + 3*n**2/10 + 25*n. Factor p(t).
3*(t - 1)**2/5
Let d(n) be the second derivative of -1/21*n**3 - 2/21*n**4 + 0 + 1/70*n**5 - 6*n + 0*n**2 + 4/105*n**6. Let d(t) = 0. Calculate t.
-1, -1/4, 0, 1
Suppose -2*n - 20 = -4*o, n = 5*o - 11 - 8. Let u(t) be the second derivative of 0 + 1/12*t**4 + 1/2*t**2 - 2*t - 1/3*t**o. Factor u(x).
(x - 1)**2
Let c(b) be the third derivative of 1/10*b**5 + 0*b**3 + 0*b**4 + 0 + 1/8*b**6 + 0*b - 7*b**2 - 1/10*b**7. Factor c(o).
-3*o**2*(o - 1)*(7*o + 2)
Let r(m) be the first derivative of m**2/2 - m + 1. Let w(c) = 6 - 4*c**2 + c - 15*c**3 - 5*c + 17*c**3. Let x(a) = 6*r(a) + w(a). Factor x(u).
2*u*(u - 1)**2
Let p be ((-1168)/(-20))/(-4) + 1. Let t = p - -14. Factor t*o**4 + 0*o + 0*o**3 + 2/5 - 4/5*o**2.
2*(o - 1)**2*(o + 1)**2/5
Let l(x) be the second derivative of x**7/7560 - x**6/1080 + x**5/360 - x**4/4 + 3*x. Let z(q) be the third derivative of l(q). Factor z(t).
(t - 1)**2/3
Suppose -25 = -5*l + 5*f, -5*f - 28 = 2*l - 3. Let p(t) = t**2. Let q be p(-2). Factor -2 + 4*z - q*z**3 + l*z**3 + 0*z**4 + 2*z**4.
2*(z - 1)**3*(z + 1)
Factor 12 + 161*v**2 - 3*v**3 + 10*v - 164*v**2 + 2*v.
-3*(v - 2)*(v + 1)*(v + 2)
Let d(g) = 0*g - 6*g + 4*g. Let v be d(-2). Find t, given that 2/5*t**5 + 12/5*t**v + 4/5 + 32/5*t**2 + 18/5*t + 28/5*t**3 = 0.
-2, -1
Let w(o) be the third derivative of -1/4*o**3 + 1/32*o**6 - 1/280*o**7 - 9/80*o**5 - o**2 + 0 + 7/32*o**4 + 0*o. Factor w(k).
-3*(k - 2)*(k - 1)**3/4
Let i(g) = g**2 + 11*g - 7. Let b be i(-12). Suppose b*t - 11 = -1. Find u such that 0 + 1/2*u + 3/4*u**t = 0.
-2/3, 0
Let y(t) be the third derivative of 5*t**2 + 0 - 1/315*t**7 - 1/135*t**5 + 0*t**3 + 0*t + 0*t**4 + 1/108*t**6. Solve y(i) = 0.
0, 2/3, 1
Let o = 829 - 4142/5. Let 3/5*c**5 + 6/5*c**4 - o*c + 0 - 6/5*c**2 + 0*c**3 = 0. What is c?
-1, 0, 1
Let l = -103543/5 + 20632. Let a = 77 + l. Let a*d**4 + 4/5*d - 4/5*d**3 - 2/5*d**2 + 0 = 0. Calculate d.
-1, 0, 1, 2
Let t be (0 + -2 - 0) + 2/1. Let x(m) be the third derivative of -1/120*m**6 + 1/60*m**5 + 0*m**4 + 0*m**3 + t + 2*m**2 + 0*m. Factor x(c).
-c**2*(c - 1)
Let k(x) be the first derivative of -x**8/1848 + 2*x**7/1155 - x**6/660 - x**2 - 5. Let z(a) be the second derivative of k(a). What is g in z(g) = 0?
0, 1
Let t(z) = -4*z**5 + 4*z**4 - 6*z**3 + z**2 + 5*z - 5. Suppose -5 = 3*g - 2. Let i(m) = m**5 - m**4 + m**3 - m + 1. Let v(n) = g*t(n) - 5*i(n). Factor v(o).
-o**2*(o - 1)**2*(o + 1)
Let n = -432/17 + 7065/272. Let g(h) be the first derivative of 0*h + 1/4*h**2 + 7/12*h**3 - 1 - n*h**4. Solve g(l) = 0 for l.
-2/9, 0, 1
Solve 0 - 3/2*b**2 + 5/6*b**3 - 1/3*b = 0.
-1/5, 0, 2
Let k(p) be the second derivative of 0 + 2*p + 2/3*p**2 + 1/6*p**4 + 5/9*p**3. Let k(r) = 0. Calculate r.
-1, -2/3
Let z(h) = -3*h - 7. Let s be z(-3). Factor -2*l**2 - l - l**s + l.
-3*l**2
Let z(v) = 3*v**2 - 8*v + 6. Let o be z(2). Factor 2 + 25/4*q**3 + 11*q + 35/2*q**o.
(q + 2)*(5*q + 2)**2/4
Suppose -6 = 2*k + 4*f, 2*f + 8 = 2*k - 4. What is o in -2/3*o**4 - 2/3 - 4*o**2 + 8/3*o + 8/3*o**k = 0?
1
Suppose 0*b = 4*b - 32. Let l = -5 + b. Suppose -5*s + s**3 - 2 - 6*s**2 - l*s**3 - s = 0. Calculate s.
-1
Factor 0*z + 4*z + 3*z**2 - 6*z - 5*z**2.
-2*z*(z + 1)
Suppose 0*u**2 + 9/4*u + 3/2 - 3/4*u**3 = 0. Calculate u.
-1, 2
Let m(b) = -b**3 - 7*b**2 - 6*b + 3. Let d be m(-6). Factor 2*g**3 + 4*g**d - 6*g**2 - g**4 + 3*g - g**4 - g.
-2*g*(g - 1)**3
Let s(i) be the second derivative of 9/8*i**5 - 37/16*i**4 + 2*i + 5/2*i**3 - 3/2*i**2 - 9/40*i**6 + 0. Factor s(r).
-3*(r - 1)**2*(3*r - 2)**2/4
Let i(j) be the second derivative of j**6/10 - 3*j**5/5 + 5*j**4/4 - j**3 + 12*j. Factor i(y).
3*y*(y - 2)*(y - 1)**2
Solve 1/3*k + 1/3*k**2 - 2 = 0.
-3, 2
Let h(b) be the third derivative of b**6/280 - 3*b**4/56 + b**3/7 + 5*b**2. Factor h(d).
3*(d - 1)**2*(d + 2)/7
Let m(d) be the third derivative of d**5/210 - d**4/84 - 2*d**3/21 - 43*d**2. Factor m(a).
2*(a - 2)*(a + 1)/7
Let v(o) = -4*o**3. Let h(z) = -10*z**3 + z**2 + z - 1. Let c(d) = -4*h(d) + 9*v(d). Factor c(g).
4*(g - 1)**2*(g + 1)
Let b be 12/9 + (-20)/12 - -1. Factor 8/3 + b*u**2 + 8/3*u.
2*(u + 2)**2/3
Let f(u) be the second derivative of u**4/21 + 2*u**3/21 - 4*u**2/7 + 17*u. Factor f(b).
4*(b - 1)*(b + 2)/7
Let h be -1*(7 - (-234)/(-27)). Factor -4/3 - 4*k - h*k**2.
-(k + 2)*(5*k + 2)/3
Let x(n) be the second derivative of -n**8/1512 + 2*n**7/945 - n**6/540 + n**2 + n. Let b(j) be the first derivative of x(j). Find r such that b(r) = 0.
0, 1
Let l(u) be the third derivative of -u**8/70560 - u**7/17640 + u**6/1260 + u**5/20 - 9*u**2. Let s(c) be the third derivative of l(c). Factor s(m).
-2*(m - 1)*(m + 2)/7
Let t = 539/6 - 3665/42. Factor 39/7*q**2 - t*q**3 - 36/7*q + 3/7*q**4 + 12/7.
3*(q - 2)**2*(q - 1)**2/7
Let u(z) be the second derivative of -z**7/147 - 2*z**6/105 + z**4/21 + z**3/21 - z. Let u(d) = 0. Calculate d.
-1, 0, 1
Suppose 3*p = -3 + 15. Solve -4*r + r + 14*r**2 + 9*r + 4*r - p = 0 for r.
-1, 2/7
Let w(r) be the third derivative of r**8/1176 + r**7/735 - r**6/420 - r**5/210 - 31*r**2. Factor w(i).
2*i**2*(i - 1)*(i + 1)**2/7
Let t be (-2)/(-9) + (-48)/(-27). Let i = t - -1. Find k such that -k**3 + k - i + 2 - 3*k**2 + 0*k**2 - 4*k = 0.
-1
Let d be ((-4)/10)/(12/(-75)). Let l = d + -2. Find n, given that -1/2*n**2 + 0 + l*n = 0.
0, 1
Let p(u) be the third derivative of 1/4*u**4 + 0*u + 1/40*u**6 + u**2 - 3/20*u**5 + 0 + 0*u**3. Let p(z) = 0. Calculate z.
0, 1, 2
Let z(n) = -n**3 + 3*n**2 - 4*n. Let u(i) = -i + 1. Let t(c) = -4*u(c) + z(c). Let t(k) = 0. What is k?
-1, 2
Suppose 4*f + 4*v = 11 + 5, -f + 3*v - 12 = 0. Let 4/9*h**2 + 2*h**3 + 14/9*h**4 + f + 0*h = 0. What is h?
-1, -2/7, 0
Let o be (3/6)/(5/20). Determine b so that -2*b + 0*b**3 - o*b**5 + b**3 - 4*b**2 + 3*b**3 + 2 + 2*b**4 = 0.
-1, 1
Let p(y) = -2*y**2 + 5*y - 3. Let i be p(1). Factor -4/5*n**3 + i + 0*n + 0*n**2 - 2/5*n**4.
-2*n*