ive of -l**5/70 + l**4/21 + l**3/3 + 4*l**2/7 - 11*l. Factor t(f).
-2*(f - 4)*(f + 1)**2/7
Let x(z) be the third derivative of z**5/30 + 17*z**4/6 + 289*z**3/3 - z**2 + 6*z. Factor x(o).
2*(o + 17)**2
What is s in -5/3*s + 5/3*s**3 + 20/3 - 20/3*s**2 = 0?
-1, 1, 4
Factor -21*w**2 - 15*w**2 + 34*w**2 + 4 + 2*w.
-2*(w - 2)*(w + 1)
Let p = -124 - -128. Let i(l) be the second derivative of -3/2*l**2 - 3/4*l**3 + 0 + l - 1/8*l**p. Let i(x) = 0. Calculate x.
-2, -1
Let d(q) be the second derivative of -q**5/20 + q**4/12 + q**3/3 - 5*q. Let d(g) = 0. Calculate g.
-1, 0, 2
Let s(b) = b**2 + 3. Let o be s(3). Suppose -3*y + o = y. Solve -1 - i + 0 - 2*i**3 + i**2 + 3*i**y = 0 for i.
-1, 1
Factor 3*c**4 + 0*c - 2*c**2 - c**2 + 83*c**3 - 86*c**3 + 3*c.
3*c*(c - 1)**2*(c + 1)
Let o(h) be the second derivative of h**4/24 - h**2/4 + 9*h. Suppose o(v) = 0. Calculate v.
-1, 1
Let n(o) = -o + 4. Let t be n(5). Let i(c) = 16*c**2 + 4*c + 16. Let v(w) = w**2 + w + 1. Let z(b) = t*i(b) + 12*v(b). Factor z(m).
-4*(m - 1)**2
Let m = 296/255 + 2/51. Let 6/5*w**4 + m*w**3 + 0 + 2/5*w**5 + 0*w + 2/5*w**2 = 0. Calculate w.
-1, 0
Suppose 4 = 3*l - 2. Suppose -2/11*h + 0 + 2/11*h**l = 0. What is h?
0, 1
Suppose -u = -3*v + 74, v + 2*u - 3*u - 28 = 0. Suppose 5*k = -6 - 4, 4*k = 5*j - v. Factor 0 - 2/5*w**j - 2/5*w - 4/5*w**2.
-2*w*(w + 1)**2/5
Let i be 1*((-2)/9 - (-6)/27). Let -2/11*x**4 + 0*x**2 + 0*x**3 + 2/11*x**5 + 0 + i*x = 0. Calculate x.
0, 1
Let o be (3/9)/(-3 + (-69)/(-18)). Let p be (-8)/(-28) + (-19)/(-7). Solve 2/5*r**2 + 0*r + o*r**4 + 4/5*r**p + 0 = 0 for r.
-1, 0
Let i(j) = -j**3 + 4*j**2 + 2. Let b be i(4). Find p such that -12*p**4 + 6*p - 3*p**4 + 13*p**5 - 4*p**5 - 15*p**3 + 15*p**b = 0.
-1, -1/3, 0, 1, 2
Let x(u) be the first derivative of -u**6/360 - u**5/40 + 4*u**3/3 + 3. Let s(d) be the third derivative of x(d). Let s(f) = 0. Calculate f.
-3, 0
Let k(g) = -9*g**2 + 6*g. Let v(s) = -8*s**2 + 5*s + 1. Let t(u) = -2*k(u) + 3*v(u). Determine r so that t(r) = 0.
-1/2, 1
Let i(c) be the third derivative of -2/15*c**3 + 6*c**2 - 1/60*c**4 + 0*c + 0 + 1/150*c**5. Factor i(m).
2*(m - 2)*(m + 1)/5
Let h = 22 + -17. Suppose -3*b + 4*k + 26 = 0, -k + 4*k = h*b - 25. Factor -1/3*c**b + 0*c + 1/3.
-(c - 1)*(c + 1)/3
Let f(l) = 19*l**2 - 8*l + 8. Let v(q) = -20*q**2 + 8*q - 6. Let o(d) = 4*f(d) + 5*v(d). What is k in o(k) = 0?
-1/6, 1/2
Suppose 0 = -a + 5*z + 40, z - 29 = 3*a - 93. Suppose a = -s + 6*s. Factor -u**4 - 1/3 - s*u**2 + 2*u + 10/3*u**3.
-(u - 1)**3*(3*u - 1)/3
Let f(l) be the second derivative of l**4/18 - l**2/3 + 3*l. Solve f(w) = 0.
-1, 1
Let 6*u**5 - 4*u + 10*u**2 + 26*u**3 - 13*u**3 - 15*u**3 - 10*u**4 = 0. Calculate u.
-1, 0, 2/3, 1
Suppose 3*u = 3*x - 6, 4*u + 0*u = -5*x - 8. Let b be (-1 - -3)*(3 + -1). Suppose -2*h**2 + 2 - b*h + 4*h**3 + x*h - h + h**3 = 0. Calculate h.
-1, 2/5, 1
Let p(v) be the second derivative of v**8/6720 + 2*v**4/3 - 5*v. Let i(k) be the third derivative of p(k). Factor i(r).
r**3
Suppose 3*j - 5 - 4 = 0. Let 4*r**2 - 2*r - 14*r**3 + 0*r + 12*r**j = 0. What is r?
0, 1
Determine u so that -6*u**2 - 2*u - u + 0*u + 0*u = 0.
-1/2, 0
Determine y, given that -6/5*y - 3/5 - 3/5*y**2 = 0.
-1
Suppose -4*q - 5*d + 4 = -1, 1 = q + d. Let t(n) be the third derivative of 0*n**3 + q*n - 1/60*n**5 - 2*n**2 + 1/24*n**4 + 0. Determine h so that t(h) = 0.
0, 1
Let b = -1529/7 + 219. Let s = 109 + -761/7. Factor -s*d - b*d**2 + 0 - 2/7*d**3.
-2*d*(d + 1)**2/7
Solve -9*w**4 + 8*w**4 - w**4 + 12*w**2 - 10*w**3 = 0 for w.
-6, 0, 1
Let l(h) be the first derivative of 2/11*h + 2/33*h**3 + 2/11*h**2 + 2. What is b in l(b) = 0?
-1
Suppose -38 + 155 = 3*s. What is c in -15*c**3 - 12*c**3 - s*c**4 - 1 - 6*c**2 - 18*c**5 + 1 = 0?
-1, -2/3, -1/2, 0
Factor -2/3*x**3 + 0*x**4 + 0*x**2 + 0 + 2/3*x**5 + 0*x.
2*x**3*(x - 1)*(x + 1)/3
Let a be 2/5 + 314/40 + -8. Factor -1/4*w**2 + 1/2*w - a.
-(w - 1)**2/4
Let l = 2 - 1. Let i(w) = w**2 + 2*w - 1. Let d be i(l). Factor -2/9*c**d + 4/9*c - 2/9.
-2*(c - 1)**2/9
Let j = -11 + 13. Factor -3*y**2 + 2*y**2 + j*y - 2 + y.
-(y - 2)*(y - 1)
Let d = 139/35 - 25/7. Let d*b**2 + 4/5*b + 0 = 0. Calculate b.
-2, 0
Let i be 60/(-15) - 9*-1. Let u(g) be the first derivative of -1/10*g**i - 1 + 0*g**2 + 0*g + 1/12*g**6 + 1/6*g**3 - 1/8*g**4. Find q, given that u(q) = 0.
-1, 0, 1
Suppose p = -4*p + 10. Let h(z) be the second derivative of -z**2 - 1/6*z**4 + p*z + 0 - 2/3*z**3. Factor h(c).
-2*(c + 1)**2
Factor 0*u + 0 - 2/17*u**2.
-2*u**2/17
Suppose 0 = 30*v - 7*v. Let -4/3*a + v + 2/3*a**2 = 0. What is a?
0, 2
Let q(v) be the first derivative of -4/35*v**5 - 1/7*v**2 + 2 + 1/21*v**6 + 0*v**4 + 0*v + 4/21*v**3. Factor q(u).
2*u*(u - 1)**3*(u + 1)/7
Let g be ((-2)/3)/(40/(-30)). Find w such that 0 + 1/2*w - g*w**2 = 0.
0, 1
Suppose 0 = 83*i - 81*i. Factor -2/3*d**2 + 2/3 + i*d.
-2*(d - 1)*(d + 1)/3
Let r(p) be the third derivative of p**6/60 + 7*p**5/30 + 5*p**4/6 + 54*p**2. Suppose r(n) = 0. What is n?
-5, -2, 0
Let h(l) be the third derivative of 0 + 0*l**7 + 0*l**4 - 1/224*l**8 + 0*l**3 + 0*l**5 + 0*l + 0*l**6 + l**2. Suppose h(z) = 0. What is z?
0
Let v(l) be the third derivative of l**7/105 - l**6/60 + 3*l**2. Factor v(p).
2*p**3*(p - 1)
Suppose 2*o + 3*l = 6*o + 50, l = -5*o - 72. Let p = o + 17. Factor 0 + 1/5*a**p - 1/5*a + 0*a**2.
a*(a - 1)*(a + 1)/5
Suppose 10 = 3*q + 2*v, 2*v + 7 = 5*q + 1. Factor 8*x**q + 4*x**2 + 18 + 5*x**3 + 2*x + 37*x - 14*x**3.
-3*(x - 3)*(x + 1)*(3*x + 2)
Let w(c) be the second derivative of c**4/72 + c**3/18 - c**2/4 + 18*c. Factor w(f).
(f - 1)*(f + 3)/6
Let c = -8 + 12. Suppose 2*s - 2*a - 2 = -s, c*s - 10 = -a. Let -1/2*j**5 + j**4 + 1/2*j - j**s + 0*j**3 + 0 = 0. Calculate j.
-1, 0, 1
Let g(l) be the first derivative of -7*l**3/3 - l**2/2 - 5*l + 5. Let b(h) = 6*h**2 + 4. Let z(o) = 5*b(o) + 4*g(o). Find j, given that z(j) = 0.
0, 2
Let o = -76 + 79. Let a(v) be the third derivative of 0 - 1/15*v**5 + 0*v**3 - 1/24*v**4 - 1/105*v**7 + 0*v + o*v**2 - 1/24*v**6. Let a(k) = 0. Calculate k.
-1, -1/2, 0
Let p(a) be the second derivative of 0*a**3 - 1/24*a**4 + 1/40*a**5 + a + 0 + 0*a**2. Factor p(b).
b**2*(b - 1)/2
Suppose 0 = -j - 6*v + 2*v - 12, -9 = 3*v. Let g(l) be the third derivative of -1/480*l**6 + 0 + 0*l - l**2 - 1/96*l**4 + j*l**3 + 1/120*l**5. Factor g(r).
-r*(r - 1)**2/4
Let k = 120 - 115. Factor 4/3*x**3 - 2/3*x**4 - 2/3*x**k - 2/3 + 4/3*x**2 - 2/3*x.
-2*(x - 1)**2*(x + 1)**3/3
Let k(w) be the first derivative of -1/4*w**2 + 0*w + 1/5*w**5 - 1 + 2/3*w**3 - 5/8*w**4. Factor k(t).
t*(t - 1)**2*(2*t - 1)/2
Suppose -12 = 6*f - 10*f. Solve 15/2*u**4 + 9/2*u**3 - 9/2*u - 21/2*u**2 + f = 0.
-1, 2/5, 1
Let r(l) = 3*l**3 - 3*l + 2. Let d be 2 - 1*(2 + 2). Let w(s) = s**3 + s**2 - s. Let z(f) = d*r(f) + 4*w(f). Factor z(i).
-2*(i - 2)*(i - 1)*(i + 1)
Let p(q) be the second derivative of -q**8/1680 - q**7/840 + q**6/180 - q**3/2 - 6*q. Let j(x) be the second derivative of p(x). Find v, given that j(v) = 0.
-2, 0, 1
Let u = 58 - 404/7. Let l = 20/21 - u. Suppose -l*r + 1/3*r**2 + 0 = 0. What is r?
0, 2
Let a(p) be the second derivative of 1/24*p**4 - 1/4*p**3 - 4*p + 1/2*p**2 + 0. Determine b, given that a(b) = 0.
1, 2
Let u = 67/130 + -3/26. Factor 4/5 - u*r**2 - 2/5*r.
-2*(r - 1)*(r + 2)/5
Let k be (20/6)/(10/15). Let o(f) = 4*f**4 - 2*f**2 - 2. Let l(v) = 9*v**4 - v**3 - 4*v**2 + v - 5. Let a(y) = k*o(y) - 2*l(y). Suppose a(c) = 0. Calculate c.
-1, 0, 1
Factor -20/17*b + 2/17*b**3 + 2/17*b**2 + 16/17.
2*(b - 2)*(b - 1)*(b + 4)/17
Let f(i) = -i**2 - 1. Let m(b) = -14*b**3 + 48*b**2 + 68*b + 26. Let s(p) = 10*f(p) + m(p). What is y in s(y) = 0?
-1, -2/7, 4
Let z = -43 + 43. Solve 0 - 2/5*u**3 + 0*u + 2/5*u**4 + z*u**2 = 0.
0, 1
Let c(v) be the first derivative of v**3/12 - v**2/8 - 3. Factor c(r).
r*(r - 1)/4
Let s(i) be the first derivative of i**4/2 - 8*i**3/3 + 3*i**2 + 7. Factor s(j).
2*j*(j - 3)*(j - 1)
Let m(r) = -4*r**2 - 2*r - 3. Let g be m(-2). Let x = -13 - g. Let -2/5*i + 2/5*i**3 - 2/5 + 2/5*i**x = 0. Calculate i.
-1, 1
Let j(b) be the first derivative of b**9/12096 + b**8/6720 - b**7/3360 - b**6/1440 - b**3/3 - 2. Let i(q) be the third derivative of j(q). Factor i(g).
g**2*(g - 1)*(g + 1)**2/4
Let d(i) be the first derivative of 2*i**5/35 - i**4/14 - 7. Factor d(s)