*j - 2/3*j**4 + 0 = 0. Calculate j.
0, 1, 2
Suppose 0 = 8*r - 11*r. Let l(o) be the third derivative of 1/70*o**7 + 0 - 1/20*o**5 + 0*o**4 + 0*o + r*o**6 + o**2 + 0*o**3. Factor l(i).
3*i**2*(i - 1)*(i + 1)
Determine v, given that 2*v**2 + 4/3*v + 0 = 0.
-2/3, 0
Let t = 273 + -545/2. Determine h, given that -1/2*h + t*h**3 + 0*h**2 + 1/4 - 1/4*h**4 = 0.
-1, 1
Let y(b) = -2*b**3 + 2*b**2 - 5. Let o be 18/15*10/3. Suppose -o*g - 1 = 19. Let v(c) = -2*c**3 + 2*c**2 - 4. Let s(q) = g*v(q) + 4*y(q). Factor s(z).
2*z**2*(z - 1)
Let h = 142 - 138. Let n(t) be the first derivative of 0*t**2 + 0*t - 1/8*t**4 + 0*t**3 + 3/20*t**5 - h - 1/24*t**6. Find m such that n(m) = 0.
0, 1, 2
Let x be (-4)/12 + (-55)/(-75). Let m(z) be the first derivative of 0*z - 2/3*z**3 - 1/3*z**6 + x*z**5 + 0*z**2 - 2 + 1/2*z**4. Factor m(s).
-2*s**2*(s - 1)**2*(s + 1)
Let k(z) = -z - 3. Let i be k(-5). Factor -m**i - 1 + m**2 - 2*m**2 - 3 + 6*m.
-2*(m - 2)*(m - 1)
Let m(r) be the second derivative of -1/18*r**3 - 1/30*r**5 + 1/12*r**4 + 0*r**2 + 0 + 5*r. Factor m(j).
-j*(j - 1)*(2*j - 1)/3
Let g be (-26)/(-65)*((-14)/12 - -2). Factor -g*u + 1/3*u**2 + 0.
u*(u - 1)/3
Let z(f) = 22*f**3 - 56*f - 34. Let k(i) = -2*i**3 + 5*i + 3. Let s(p) = -68*k(p) - 6*z(p). Factor s(y).
4*y*(y - 1)*(y + 1)
Let o = 2 + -4. Let a = o + 2. Determine k so that -4*k**3 + a*k**2 + 2*k**5 - 2*k**2 - 2*k**3 + 2*k**4 + 4*k = 0.
-2, -1, 0, 1
Let x(n) = 11*n**3 + 6*n**2 + 5*n. Let k(z) = -39*z**3 - 21*z**2 - 18*z. Let y(f) = -4*f + 2. Let d be y(-4). Let b(s) = d*x(s) + 5*k(s). Factor b(i).
3*i**2*(i + 1)
Let -2/3*q + 4/3*q**2 - 2/3*q**3 + 0 = 0. Calculate q.
0, 1
Suppose -105 + 75 = -5*g. Let t(q) be the second derivative of -4/5*q**5 + 2/3*q**3 + 4*q - 1/3*q**g + 0*q**2 + 0 - 1/6*q**4. What is w in t(w) = 0?
-1, 0, 2/5
Let j(a) = a**2 - 13*a + 7. Let u be j(12). Let p = 7 + u. Let 0 - 3/4*q**p + 1/4*q - q**3 = 0. What is q?
-1, 0, 1/4
Let j = 9 + -7. Suppose 2*v = 4*v + 10, j*c - 2*v - 14 = 0. Solve 9*z**2 + 3 + 2*z + 0*z**c - 11*z - 3*z**3 + 0 = 0 for z.
1
Let v = 23/8 - 53/24. Let x(q) be the first derivative of 0*q + 2 - v*q**3 + 0*q**2. Factor x(j).
-2*j**2
Let a(j) = -19*j - 11*j + 6 + j**2 + 25*j. Let r be a(2). Factor 0 + r*z + 2/5*z**2.
2*z**2/5
Let q = -84517/1491 - 44/1491. Let n = q - -57. Factor 0 - 4/7*c**2 - n*c - 2/7*c**3.
-2*c*(c + 1)**2/7
Let c(g) = g**3 - 27*g**2 - 28*g - 4. Let s(r) = -27*r**2 - 27*r - 3. Let l(o) = -3*c(o) + 4*s(o). Factor l(w).
-3*w*(w + 1)*(w + 8)
Let h(x) be the first derivative of 9*x**4/4 - 17*x**3/3 + 4*x**2 + 3. Let d(t) = -45*t**3 + 86*t**2 - 41*t. Let w(c) = -2*d(c) - 11*h(c). Factor w(a).
-3*a*(a - 1)*(3*a - 2)
Factor 44/3*d - 2/3*d**2 - 242/3.
-2*(d - 11)**2/3
Suppose 0 = 5*q - 0*q. Let z(y) be the second derivative of -2*y + 1/6*y**4 + 2/5*y**6 - 9/20*y**5 + q*y**3 + 0 - 5/42*y**7 + 0*y**2. Solve z(h) = 0.
0, 2/5, 1
Factor 1/5*s + 0 - 1/5*s**3 + 0*s**2.
-s*(s - 1)*(s + 1)/5
Suppose 3*j - 25 = 5*x, 0*j - j + 2*x + 10 = 0. Let m(y) be the first derivative of -2 + 0*y**2 + 1/5*y**5 + 0*y - 1/3*y**3 + j*y**4. Factor m(z).
z**2*(z - 1)*(z + 1)
Factor 0*c**2 + 2/9*c**3 + 0 - 2/9*c.
2*c*(c - 1)*(c + 1)/9
Let v be 190/45 + -4 - 4/18. Factor 0 + 3/5*t**2 + v*t.
3*t**2/5
Factor 34/9*v + 2/3*v**3 - 32/9*v**2 - 8/9.
2*(v - 4)*(v - 1)*(3*v - 1)/9
Let f be (12/(-15))/(8/(-20)). Let d(s) be the first derivative of 2/15*s**5 - 1 + 11/9*s**3 + 3/4*s**4 + 0*s**f - 4/3*s. Factor d(b).
(b + 1)*(b + 2)**2*(2*b - 1)/3
Let j be -1*3 + (8 - 1). Let r be 39/30 - 2/j. Determine y so that -r + 2/5*y**3 - 8/5*y**2 + 2*y = 0.
1, 2
Let q(u) = -u**5 + u**4 - u**3 + u**2 + 1. Let o(b) = 10*b**5 - 20*b**4 - 40*b**3 - 30*b**2 - 5. Let i(a) = -o(a) - 5*q(a). Determine v so that i(v) = 0.
-1, 0, 5
Let d(c) be the first derivative of 0*c - 5/12*c**4 - 2/15*c**5 + 3 - 2/9*c**3 + 0*c**2. Factor d(p).
-p**2*(p + 2)*(2*p + 1)/3
Let 0*b**2 + 3/7*b**5 - 6/7*b**3 + 0*b**4 + 3/7*b + 0 = 0. Calculate b.
-1, 0, 1
Let q(h) = -5*h**3 - 18*h**2 - 3*h + 20. Let p(r) = -5*r**3 - 19*r**2 - 4*r + 20. Let k(t) = -3*p(t) + 4*q(t). Determine d so that k(d) = 0.
-2, 1
Factor 5*h - 9*h + 3*h**2 + 8 - 7*h**2.
-4*(h - 1)*(h + 2)
Let v(w) be the first derivative of -16/3*w**3 - 6*w**4 - 2*w**2 + 5 + 0*w - 2/3*w**6 - 16/5*w**5. Factor v(t).
-4*t*(t + 1)**4
Let z(m) be the second derivative of 0*m**4 - 1/21*m**7 + 0*m**3 + 1/5*m**5 - 1/15*m**6 + 0 + 0*m**2 - 6*m. Factor z(u).
-2*u**3*(u - 1)*(u + 2)
Let t(b) be the second derivative of -b**6/75 + b**5/50 + b**4/30 - b**3/15 + 20*b. Factor t(i).
-2*i*(i - 1)**2*(i + 1)/5
Let c(r) be the first derivative of 0*r**5 - r + 0*r**3 + 0*r**2 - 2 + 0*r**4 - 1/75*r**6. Let n(g) be the first derivative of c(g). Factor n(t).
-2*t**4/5
Let i(g) = -2*g + 22. Suppose -3 = -5*h + 47. Let o be i(h). Factor 1/4*z**3 + 0 + 0*z**4 + 0*z**o - 1/4*z**5 + 0*z.
-z**3*(z - 1)*(z + 1)/4
Suppose 3*t = t + 6. Suppose 0*n - 5*n = -3*k + 7, -3*n = t*k - 15. Factor -14*h**3 - 2*h**2 + 4*h**3 + 4*h**k + 2*h**4 + 10*h - 4.
2*(h - 1)**2*(h + 1)*(3*h - 2)
Let u(q) be the third derivative of -q**5/42 - q**4/42 + 3*q**2. Factor u(g).
-2*g*(5*g + 2)/7
Let z(a) = -2*a**2. Let l(x) = -13*x**2 - 5*x - 6. Let w(j) = -j**2 - j - 1. Let m(d) = -l(d) + 5*w(d). Let g(y) = 2*m(y) + 9*z(y). Find i such that g(i) = 0.
-1, 1
Suppose -4*q + 2*q + 8 = 0. Let t be 6/q - -3 - 2. Determine o so that 1/2*o**3 + 1 + t*o + 2*o**2 = 0.
-2, -1
Let b(t) = 3*t**3 + 11*t**2 + 9*t. Let j(m) = m**2. Let o(k) = -b(k) - j(k). Find z such that o(z) = 0.
-3, -1, 0
Let g(o) be the second derivative of o**5/140 - o**4/42 + o**3/42 + o. Find x such that g(x) = 0.
0, 1
Let x(f) = f + 1. Suppose 3*w - 1 = -4. Let r(v) = 2*v**2 - 5*v + 1. Let q(j) = w*x(j) - r(j). Factor q(l).
-2*(l - 1)**2
Suppose -9 = -3*x - 0*x. Factor -t**5 + 3*t**5 - 8*t**2 + 2*t**4 - t**5 - 4*t**x.
t**2*(t - 2)*(t + 2)**2
Suppose 0*y + 6*y = 0. Suppose y*t**2 + t**2 + 6*t + t**2 - 2 - 2*t**3 - 4*t = 0. What is t?
-1, 1
Let d(s) be the third derivative of s**10/32400 - s**9/7560 + s**8/10080 + s**7/3780 - s**5/30 + 4*s**2. Let h(b) be the third derivative of d(b). Factor h(a).
2*a*(a - 1)**2*(7*a + 2)/3
Let x be (-3*(-3)/(-6))/(-3). Factor -x*a**3 - a**2 - 1/2*a + 0.
-a*(a + 1)**2/2
Let d(k) be the second derivative of -k**7/315 - 2*k**6/225 + 7*k**5/150 + 2*k**4/9 + 4*k**3/15 - 33*k. Find r, given that d(r) = 0.
-2, -1, 0, 3
Let j(m) be the second derivative of m**4/14 + 4*m**3/21 + m**2/7 + 2*m. Factor j(p).
2*(p + 1)*(3*p + 1)/7
Let a(t) be the second derivative of -t**5/75 - t**4/15 - 2*t**3/15 + 3*t**2 + 3*t. Let l(p) be the first derivative of a(p). Factor l(q).
-4*(q + 1)**2/5
Factor 18/7 + 6/7*p + 2/7*p**3 - 10/7*p**2.
2*(p - 3)**2*(p + 1)/7
Let j(n) = n**2 + 31*n - 28. Let d be j(-32). Factor -g**2 - 1/4*g**d + 0 + g**3 + 0*g.
-g**2*(g - 2)**2/4
Let y(l) be the first derivative of 3*l**5/5 - 3*l**4 + 6*l**3 - 6*l**2 + 3*l + 12. Solve y(r) = 0.
1
Suppose -5*r = 5*b + 40, -4*r - 3 = -2*b + 5. Let w = 7 + b. Find g, given that 2/7*g**2 + 0*g + 0 + 2/7*g**w = 0.
-1, 0
Let s = -1/55 - -61/330. Let u(j) be the second derivative of 0 + 0*j**2 - s*j**3 - 1/24*j**4 - 2*j + 1/40*j**5. Determine p so that u(p) = 0.
-1, 0, 2
Let u(b) be the second derivative of b**7/21 - b**6/30 - b**5/4 - b**4/6 + 4*b. Find f, given that u(f) = 0.
-1, -1/2, 0, 2
Let m(s) = 2*s**4 + 2*s**3 - 3*s + 3. Let h(r) = 2*r**4 + 2*r**3 - 4*r + 4. Let n(v) = -3*h(v) + 4*m(v). Factor n(l).
2*l**3*(l + 1)
Let v = -2068/7 + 296. Let q be (-24)/(-40) - (-818)/70. Determine n so that v + q*n**3 - 48/7*n**2 - 2/7*n - 40/7*n**4 = 0.
-1/4, 2/5, 1
Find s, given that 2/9 + 4/9*s**3 - 2/9*s**4 + 0*s**2 - 4/9*s = 0.
-1, 1
Suppose -2*r - 16 = 2*q + 3*q, q = -3*r + 2. Let 3*o - 6*o**5 - 3*o - r*o**4 + 5*o**5 = 0. What is o?
-2, 0
Suppose 0 = -2*q + 4 - 2. Suppose -2*y = -q - 3. What is f in -5*f**2 + f + 2*f**3 - f**3 + 3*f**y = 0?
0, 1
Let t = -3/53 - -121/265. Suppose 0*f - 6/5*f**4 + 0 - t*f**2 + 6/5*f**3 + 2/5*f**5 = 0. Calculate f.
0, 1
Suppose -p + 3*p - 22 = u, 66 = 5*p + 3*u. Let a be 35/14*p/105. Factor 1/7*v**5 + 0*v + a*v**2 - 1/7*v**3 - 2/7*v**4 + 0.
v**2*(v - 2)*(v - 1)*(v + 1)/7
Let l(a) be the third derivative of -1/10*a**5 + 1/6*a**4 + 0 + 0*a + 0*a**3 - 1/30*a**6 - 3*a**2. Factor l(r).
-2*r