 + 0 - 4/5*a**r.
-2*a**2*(a + 1)**2/5
Let c(q) = 87*q**3 + 95*q**2 + 6*q + 2. Let r(y) = 87*y**3 + 96*y**2 + 6*y + 3. Let k(l) = -3*c(l) + 2*r(l). Factor k(x).
-3*x*(x + 1)*(29*x + 2)
Let p(b) = -b**2 - 1. Let z = 8 - 13. Let a(i) = 7*i**2 - i + 4. Let m(w) = z*p(w) - a(w). Let v(y) = -y**2 + y. Let o(u) = -2*m(u) + 3*v(u). Factor o(s).
(s - 1)*(s + 2)
Factor -10 + 85/3*t - 25/3*t**2.
-5*(t - 3)*(5*t - 2)/3
Suppose 3*p = 8*p - 10. Factor 1/4*t**p + 1/2 + 3/4*t.
(t + 1)*(t + 2)/4
Let v(y) = y**3 + 4*y**2 - y - 1. Let k be v(-4). Let i = k - 3. Solve 0 + i - a - a**5 + 2*a**3 = 0 for a.
-1, 0, 1
Let m be (-18)/(-21)*((-56)/12)/(-7). Solve -6/7*l + m + 2/7*l**2 = 0 for l.
1, 2
Let o be (436/(-448) - -1)*20. Let x = -1/28 + o. Factor 1/4*v**2 + 1/4 + x*v.
(v + 1)**2/4
Factor 0 - 6/5*j + 21/5*j**3 + 3*j**2.
3*j*(j + 1)*(7*j - 2)/5
Let k(x) = -4*x**4 - 12*x**3 + 6*x - 6. Let d(s) = 7*s**4 + 24*s**3 - 11*s + 11. Let n(m) = -6*d(m) - 11*k(m). Factor n(a).
2*a**3*(a - 6)
Factor -3*c**2 - 2*c - 2*c + 4*c.
-3*c**2
Let -46*q - 3*q**4 + 36*q**3 + 88*q - 138*q**2 - 75 + 138*q = 0. Calculate q.
1, 5
Suppose -5*n + 4 = -3*n. Factor -8 + 13*x - x - x**n - 3*x**2.
-4*(x - 2)*(x - 1)
Suppose 0 = 4*t + 3*t - 5*t. Solve t*j - 2/3*j**2 + 0 = 0.
0
Let q(l) be the third derivative of l**5/45 + l**4/18 - 5*l**2. Determine m so that q(m) = 0.
-1, 0
Let a(w) be the third derivative of 0*w**4 + 1/60*w**6 + 1/30*w**5 - 1/3*w**3 + 0*w + 2*w**2 + 0. Let v(k) be the first derivative of a(k). Solve v(i) = 0.
-2/3, 0
Let m = -5 + 6. Solve -5 - m + 3 - 3*o + 3*o**3 + 3*o**2 = 0 for o.
-1, 1
Factor 34*j**2 - 19*j**2 + 4*j**5 - 7*j**2 - 4*j - 8*j**4.
4*j*(j - 1)**3*(j + 1)
Let i(t) be the first derivative of 2*t**5/95 - 9*t**4/38 - 20*t**3/57 + 50. Factor i(j).
2*j**2*(j - 10)*(j + 1)/19
Let v(i) = -5*i + 6. Let g(b) = 4*b - 5. Let d(r) = -6*g(r) - 5*v(r). Let f be d(3). Factor -h**2 - 6*h**4 + 8*h**3 + 0*h**2 - 9*h**2 + 6*h**f + 2*h.
-2*h*(h - 1)**2*(3*h - 1)
Let x be 28/98 - (22/35)/(-2). Suppose -x*r**2 - 3/5 + 6/5*r = 0. What is r?
1
Let f(m) = m**2 + 2*m. Let t be f(-2). Let w(p) be the third derivative of 1/210*p**7 - 1/60*p**5 + 0 + 0*p**4 + 0*p + 0*p**6 + t*p**3 - 2*p**2. Factor w(d).
d**2*(d - 1)*(d + 1)
Let k = 42 - 15. Suppose 4 = -u - 2*q - 4, 5*q = u - k. Factor 0*b + 2/9*b**u + 0.
2*b**2/9
Let i = 8 - -4. Suppose -x + i = 2*x. Factor 0 - f**2 - x*f - 4 + 0.
-(f + 2)**2
Let d(b) be the second derivative of -b**4/42 + b**2/7 - 8*b. Factor d(k).
-2*(k - 1)*(k + 1)/7
Factor 0 + 4/3*v**4 - 4/3*v**2 + 0*v + 0*v**3.
4*v**2*(v - 1)*(v + 1)/3
Factor -3*y**5 - 583*y**4 + 6*y**3 - 3*y + 583*y**4.
-3*y*(y - 1)**2*(y + 1)**2
Let f(j) be the first derivative of 1/150*j**5 + 0*j - 1/60*j**4 + 2 - j**2 + 0*j**3. Let n(z) be the second derivative of f(z). Find i, given that n(i) = 0.
0, 1
Let a = -17/112 - -7/16. Let d(q) be the first derivative of 2/21*q**3 - a*q - 1 + 0*q**2. Factor d(c).
2*(c - 1)*(c + 1)/7
Let p(w) be the first derivative of 2*w**6/3 - 12*w**5/5 + 2*w**4 - 56. What is r in p(r) = 0?
0, 1, 2
Let i(k) be the third derivative of -k**7/16380 + k**4/24 - 2*k**2. Let x(j) be the second derivative of i(j). Factor x(n).
-2*n**2/13
Let k(j) be the first derivative of j**4/12 - j**3/3 + j**2/2 + 2*j - 1. Let r(c) be the first derivative of k(c). Factor r(m).
(m - 1)**2
Let u = 18 + -16. Suppose 3*w = -u*w + 15. Factor -2/9*q - 4/9*q**2 + 2/9*q**w + 4/9.
2*(q - 2)*(q - 1)*(q + 1)/9
Find n such that -21/2*n**4 + 3*n**2 - 3/2*n**5 - 15*n**3 + 33/2*n + 15/2 = 0.
-5, -1, 1
Let d be (-16)/(-9) + 2/9. Let q(u) be the second derivative of 0*u**4 + 0*u**3 - 1/100*u**5 + 0 + 1/150*u**6 + 0*u**2 + d*u. Factor q(r).
r**3*(r - 1)/5
Let z(i) be the first derivative of -i**6/45 + 2*i**5/75 + i**4/30 - 2*i**3/45 - 5. Find r such that z(r) = 0.
-1, 0, 1
Let t(f) be the third derivative of -f**7/420 - f**6/240 - 30*f**2. Factor t(d).
-d**3*(d + 1)/2
Let p be -10 - (-1*2)/(-1). Let t be -1 - 3/(9/p). Factor -3*r + r - t*r**2 + r**2 + 4*r.
-2*r*(r - 1)
Let l(h) = -4*h**2 + h - 1. Suppose 0 = -t + 2 + 4. Let v(j) = 23*j**2 - 7*j + 7. Let z(a) = t*v(a) + 34*l(a). Determine g, given that z(g) = 0.
2
Factor -3/4*s**2 + 9/4 + 3/2*s.
-3*(s - 3)*(s + 1)/4
Let p(q) = q**3 + 5*q**2 - 6*q + 5. Let s be p(-6). Let d(z) be the third derivative of 0 + 0*z**3 + 0*z - 2*z**2 - 1/20*z**4 - 1/150*z**s. Factor d(m).
-2*m*(m + 3)/5
Let a = 913/4 - 228. Solve 1/2*c**2 + 1/4*c**3 - 1/2 - a*c = 0 for c.
-2, -1, 1
Let 219*u**4 + 108*u**3 + 42*u**2 + 60*u**5 - 6*u - 51*u**2 + 48*u**5 = 0. Calculate u.
-1, -1/4, 0, 2/9
Find a such that -18/5*a**4 + 0 + 4/5*a + 18/5*a**2 - 4/5*a**3 = 0.
-1, -2/9, 0, 1
Let f(y) be the first derivative of y**2 + 0*y + 0*y**3 - 1/36*y**4 - 1 - 1/90*y**5. Let m(u) be the second derivative of f(u). Factor m(v).
-2*v*(v + 1)/3
Let w(z) = -3*z**2 + 3*z. Let o(l) be the third derivative of -l**5/30 + l**4/12 - 4*l**2. Let u(s) = -5*o(s) + 3*w(s). Factor u(q).
q*(q - 1)
Let w(u) be the third derivative of 4*u**2 + 0*u - 1/16*u**4 + 0 - 1/80*u**5 - 1/8*u**3. Determine v, given that w(v) = 0.
-1
Let g = 7 + -5. Suppose g*l = 4*l. Factor 2/3*m**3 + 0*m + 2/3*m**2 + l.
2*m**2*(m + 1)/3
Suppose 30*h**3 - 44*h**2 - h**2 + 3*h**4 - 8*h**4 = 0. Calculate h.
0, 3
Let p be -2 + (6 - (1 + -4)). Let l = 1 + 4. Suppose -6*g**2 + 9*g - 1 + 7 - 5*g**3 - p*g**3 + 3*g**l + 0*g**2 = 0. What is g?
-1, 1, 2
Let w = 11 - 8. Suppose 0 = -6*k + 4*k - 5*m - 16, k - 3*m = 14. Determine i, given that 2*i**k + 4/3*i**4 - 10/3*i**w - 2/3 + 2/3*i = 0.
-1/2, 1
Let d(y) = -6*y**3 - 9*y**2 + 6*y + 6. Let u(w) = w**4 + 6*w**3 + 8*w**2 - 6*w - 5. Let i(c) = 4*d(c) + 3*u(c). Determine o so that i(o) = 0.
-1, 1, 3
Let i = 94581/560 + -1182/7. Let v(a) be the third derivative of 1/16*a**4 + 0 + 0*a + 0*a**3 + 4*a**2 - i*a**5 + 1/160*a**6. Suppose v(p) = 0. What is p?
0, 1, 2
Let x(n) be the third derivative of -3*n**8/224 + n**7/70 + 11*n**6/240 - n**5/30 - n**4/12 + 4*n**2. Let x(v) = 0. What is v?
-2/3, 0, 1
Let y(t) be the first derivative of 1/360*t**6 + 0*t - 3 + 0*t**3 + 1/90*t**5 + 3/2*t**2 + 1/72*t**4. Let q(n) be the second derivative of y(n). Factor q(l).
l*(l + 1)**2/3
Let y(o) be the third derivative of -o**7/525 - o**6/100 - o**5/50 - o**4/60 + 11*o**2. Factor y(f).
-2*f*(f + 1)**3/5
Let b(v) = -8*v**2 + 35*v. Let y(r) = 4*r**2 - 18*r. Let n(d) = -2*b(d) - 5*y(d). Factor n(c).
-4*c*(c - 5)
Let i(b) = b**2 + 7*b - 11. Let v be i(-8). Let y(o) = o + 9. Let z be y(v). Factor -18 + 2/3*t**3 + 18*t - z*t**2.
2*(t - 3)**3/3
Let l(p) = 2*p + 2 - 1 - 3*p - p**2. Let g(w) = 4*w**2 + 4*w - 2. Let d = -4 - -10. Let m(c) = d*l(c) + g(c). Suppose m(r) = 0. What is r?
-2, 1
Let c(s) be the third derivative of s**8/560 + 3*s**7/175 + 9*s**6/200 + s**5/25 - 23*s**2. Find l, given that c(l) = 0.
-4, -1, 0
Let h(s) be the third derivative of 1/90*s**5 + 0 + 1/90*s**6 + 0*s + 0*s**3 - 1/18*s**4 - 5*s**2 - 1/315*s**7. What is w in h(w) = 0?
-1, 0, 1, 2
Let p(i) be the third derivative of i**5/120 - i**4/48 + 2*i**2. Factor p(q).
q*(q - 1)/2
Solve 8/7*x**2 - 4/7*x**3 - 2/7 + 4/7*x**5 + 0*x - 6/7*x**4 = 0 for x.
-1, -1/2, 1
Solve 0*x + 0 + 1/2*x**2 + 1/2*x**4 - x**3 = 0.
0, 1
Let v(l) be the third derivative of 1/1512*l**8 + 0*l**3 + 0 - 1/270*l**5 + 0*l - 1/540*l**6 + 1/945*l**7 + 0*l**4 + l**2. Solve v(w) = 0 for w.
-1, 0, 1
Let q be 1/(((-30)/9)/((-1)/9)). Let c(l) be the second derivative of -1/3*l**3 + 1/3*l**2 - q*l**5 + 0 + 1/6*l**4 + l. Factor c(h).
-2*(h - 1)**3/3
Let s(d) be the second derivative of -5*d + 1/12*d**4 + 1/100*d**5 + 2/5*d**2 + 0 + 4/15*d**3. Factor s(b).
(b + 1)*(b + 2)**2/5
Let y(i) = 3*i + 1. Let d be y(1). Suppose d*t - 3*t - 3 = 0. Factor -4*b**2 - 10*b**2 - t*b**3 - 2*b - 27*b**3 - 18*b**4.
-2*b*(b + 1)*(3*b + 1)**2
Solve -27 + 39 + 4*v**3 - 20*v + 5*v**2 - v**2 = 0.
-3, 1
Let x(m) be the second derivative of 4/3*m**3 + 2*m - 4*m**2 + 0 - 1/6*m**4. Let x(c) = 0. What is c?
2
Let j(l) be the third derivative of l**7/2100 + l**6/1200 - l**5/300 + 34*l**2. What is h in j(h) = 0?
-2, 0, 1
Let y be (399/(-95))/(2/10). Let v(c) = -c**3 - 20*c**2 + 22*c + 23. Let l be v(y). Find k such that -4/3*k - 5/3*k**3 + 0 + 8/3*k**l + 1/3*k**4 = 0.
0, 1, 2
Let u(y) be the first derivative of -4/3*y**3 - 16*y + 11 + 8*y*