. Solve w(l) = 0.
0, 2/3, 1
Suppose 5*j = -2*c + 9, c = -0*c - 3. What is m in 4*m**j + 19*m - 7*m - 4 - 5*m**2 - 7*m**2 = 0?
1
Factor 2/13*y**2 - 6/13*y + 0.
2*y*(y - 3)/13
Suppose -7*o = -2*o - 20. Suppose o*l = l + 6. Factor 3*f**l + f**2 - f**3 - 5*f**2 - f**3.
-f**2*(2*f + 1)
Let x(p) be the first derivative of -2/15*p**3 + 0*p**2 - 3 + 2/5*p. Factor x(g).
-2*(g - 1)*(g + 1)/5
Suppose 8*m + 3*m - 22 = 0. Let f(g) be the second derivative of 1/70*g**5 + 1/42*g**4 + g - 1/105*g**6 - 1/147*g**7 + 0*g**3 + 0 + 0*g**m. Factor f(r).
-2*r**2*(r - 1)*(r + 1)**2/7
Suppose -8*r - 4*r**4 - 6*r**5 - 4 + 2*r + 8*r**2 + 12*r**3 + 0 = 0. Calculate r.
-1, -2/3, 1
Suppose -12 = 2*r - 14. Suppose 2*c - r = 3. Factor 0*z + 4/9*z**c + 0 + 2/9*z**3.
2*z**2*(z + 2)/9
What is f in -4/3*f**2 - 4 + 16/3*f = 0?
1, 3
Factor 4/5*h**2 - 2/5*h**3 - 4/5 + 2/5*h.
-2*(h - 2)*(h - 1)*(h + 1)/5
Factor 0*o**3 - 6/7*o + 0 - 9/7*o**2 + 3/7*o**4.
3*o*(o - 2)*(o + 1)**2/7
Let s(x) = -x**2 + 3*x + 7. Let j be s(4). Let q(z) be the third derivative of 2*z**2 + 0*z + 0*z**j + 0 + 1/240*z**5 + 1/96*z**4. Factor q(u).
u*(u + 1)/4
Let a(t) be the third derivative of -t**5/90 + t**4/18 - t**3/9 + 8*t**2. Factor a(r).
-2*(r - 1)**2/3
Let i(h) = 3*h - 2. Let p be i(2). Determine a so that 0*a - a + 5*a**4 + 3*a**3 - 2*a + 3*a**2 - 8*a**p = 0.
-1, 0, 1
Let s(b) be the first derivative of -b**3/12 + b/4 + 11. Factor s(q).
-(q - 1)*(q + 1)/4
Let k(o) be the third derivative of 3*o**6/80 - o**5/10 - 5*o**4/16 + o**3/2 - 5*o**2. Solve k(x) = 0 for x.
-1, 1/3, 2
Suppose 2*f - 5*o = -5, -29 = -4*f - 3*o - 0*o. Factor -3*p - 18*p - 12*p**2 + 1 + f + 0.
-3*(p + 2)*(4*p - 1)
Let g(v) be the first derivative of -v**7/420 - v**6/60 - v**5/30 + 7*v**3/3 - 7. Let x(i) be the third derivative of g(i). Factor x(t).
-2*t*(t + 1)*(t + 2)
Let m = -84 + 86. Let q(o) be the third derivative of 0*o**4 + 0*o**3 + 0 + 0*o + 1/10*o**5 + 1/40*o**6 - 4*o**m. Factor q(s).
3*s**2*(s + 2)
Let u(d) be the first derivative of d**3/6 - d**2 + 3*d/2 + 11. Determine m, given that u(m) = 0.
1, 3
Let h be ((-27)/(-12))/(3/(-8)). Let u(z) = z**3 - z**2 + z. Let r(n) = -3*n**4 - 6*n**3 - 21*n**2. Let m(j) = h*u(j) + r(j). Solve m(i) = 0 for i.
-2, -1, 0
Let w(c) be the first derivative of 2*c**6/3 + 112*c**5/5 + 241*c**4 + 1720*c**3/3 - 3400*c**2 + 4000*c - 21. Solve w(f) = 0 for f.
-10, 1
Find j such that -11*j - j + 4 + 5*j**3 - 5*j**3 - 4*j**3 + 12*j**2 = 0.
1
Suppose a + 6 = -4*i + 3*a, -5*i - 4*a = -12. Let x(t) be the first derivative of 2 - 1/2*t**2 + i*t + 1/3*t**3. What is o in x(o) = 0?
0, 1
Let j be (8/(-10))/((-6)/15). Let 7*p**2 + p**5 - 2*p + j*p**5 + 2*p**4 - 6*p**4 - 3*p**4 - p**3 = 0. What is p?
-1, 0, 1/3, 1, 2
Let j = 28561/240 - 119. Let x(r) be the third derivative of j*r**6 - 1/1344*r**8 + 0*r**7 + 0 + 0*r**5 + r**2 - 1/96*r**4 + 0*r + 0*r**3. Solve x(i) = 0 for i.
-1, 0, 1
Suppose -4*x + 4*t + 12 = 0, -t - 3 = -0*t. Let 4/7*z**2 + 0*z + 2/7*z**3 + x = 0. Calculate z.
-2, 0
Let o be 0 - (-5 + 2)*7. Factor -2*k + o*k**2 - 2*k**4 + 8*k**4 - 6 - 3*k**2 + 21*k**3 - k.
3*(k + 1)**2*(k + 2)*(2*k - 1)
Let t(s) = -s - 2. Let b be t(-3). Determine i, given that 2*i**3 - b + 0*i**3 - 4*i - 2*i**4 - 3 + 3*i**2 + i**4 = 0.
-1, 2
Let l(z) = z**3 - 4*z**2 + 3*z. Let a be l(3). Let m = -58/225 + 12/25. Factor a*p - m + 2/9*p**2.
2*(p - 1)*(p + 1)/9
Suppose 9*h - 12 = 6*h. Let v be 36/30*10/h. Determine n, given that 11 - 1 + 20*n - 26*n**2 - n**3 + 8*n**v - 2 = 0.
-2/7, 2
Let r(z) be the first derivative of -2 + 0*z - z**3 - 3/4*z**4 - 1/5*z**5 - 1/2*z**2. Factor r(c).
-c*(c + 1)**3
Let n = 64 - 28. Find l, given that -2*l + 0*l**3 + 14*l - n*l**2 + 18*l**3 + 9*l**3 = 0.
0, 2/3
Let i = -28 + 26. Let p(s) = s**2 - s - 3. Let r be p(i). Let -1/4*t**2 + 0 + 1/4*t + 1/4*t**4 - 1/4*t**r = 0. Calculate t.
-1, 0, 1
Suppose -6 = -9*h + 30. Let o(i) be the second derivative of -2/7*i**3 - 5/42*i**h - 3*i + 0 - 1/7*i**2. Factor o(x).
-2*(x + 1)*(5*x + 1)/7
Let t be (-22)/(-20) - 7/(-14). Suppose -16/5*b**2 + 2*b**4 - t*b + 14/5*b**3 + 0 = 0. What is b?
-2, -2/5, 0, 1
Let p(i) = i**3 - 8*i**2 + 3. Let q be p(8). Let b(u) be the third derivative of -1/240*u**5 + 0*u + 1/48*u**4 - 1/24*u**q + u**2 + 0. Factor b(k).
-(k - 1)**2/4
Let x(u) be the second derivative of 76/15*u**4 + 0 + 98/75*u**6 + 98/15*u**7 - 5*u - 16/15*u**3 + 0*u**2 - 42/5*u**5. Factor x(c).
4*c*(c + 1)*(7*c - 2)**3/5
Let p(u) be the third derivative of u**8/10080 - u**7/1890 + u**6/1080 + u**4/8 - 4*u**2. Let n(a) be the second derivative of p(a). Factor n(s).
2*s*(s - 1)**2/3
Suppose -3*p + 5*t - 3 = 0, -p + 3*t = 4*t - 7. Let w(r) be the third derivative of 0 + 0*r - r**2 - 1/60*r**p + 1/150*r**5 + 0*r**3. Solve w(z) = 0 for z.
0, 1
Let w = 486840/7 + -69392. Let m = w - 156. Factor -m*n**4 + 0*n**3 + 4/7*n**2 + 0 - 2/7*n + 2/7*n**5.
2*n*(n - 1)**3*(n + 1)/7
Let q(w) = -w**3 - 5*w**2 - 5*w - 2. Let k be q(-3). Let m = k + 7. Factor 3*a - m*a**3 + 6*a**2 - 8*a + 2 - a.
-2*(a - 1)**3
Let l(k) be the first derivative of -5 - 5/6*k**2 - 4/9*k**3 - 1/12*k**4 - 2/3*k. Factor l(z).
-(z + 1)**2*(z + 2)/3
Let t(w) be the second derivative of w**7/2520 - w**6/1080 + w**3/3 - 2*w. Let l(i) be the second derivative of t(i). Determine p so that l(p) = 0.
0, 1
Suppose -2*u + 42 = 4*n, -3*u + 4*n = -52 - 11. Suppose 5*i = -7*j + 2*j, -4*j = -3*i - u. Factor -4/5*x + 6/5*x**2 + 1/5 + 1/5*x**4 - 4/5*x**j.
(x - 1)**4/5
Factor -5*x**2 - 2*x + 3*x**2 + x**2 + 5 - 2*x.
-(x - 1)*(x + 5)
Suppose 0*u = 4*u - 12. Factor -3*n + n + 5*n + n**4 - 5*n - u*n**2.
n*(n - 2)*(n + 1)**2
Let m(p) = 10*p + 23. Let h be m(-2). Let n(r) be the first derivative of 0*r**3 + 0*r**2 + 0*r**5 + h + 1/8*r**4 - 1/12*r**6 + 0*r. Solve n(t) = 0 for t.
-1, 0, 1
Suppose 0*p - 4*p = p. Let 6/5*b**3 + 0*b**2 + p - 3/5*b**5 + 3/5*b**4 + 0*b = 0. What is b?
-1, 0, 2
Let i(x) = -6*x**2. Let q(y) = -5*y + 5*y**2 + 8*y - 3*y. Let j(r) = 3*i(r) + 4*q(r). Find l, given that j(l) = 0.
0
Let b be (-5)/5 + 1*-3. Let x(r) = 4*r**2 - r. Let c(v) = 5*v**2 - v. Let n(y) = b*x(y) + 3*c(y). Let n(j) = 0. What is j?
0, 1
Let j be ((-36)/42)/(8/(-7)). Suppose -1/4*r - j*r**2 + 0 = 0. What is r?
-1/3, 0
Let r be (6/7)/((-81)/(-126)). Find m such that 2/3*m**5 + 0 + 2/3*m - r*m**3 + 0*m**2 + 0*m**4 = 0.
-1, 0, 1
Let h = -65 - -65. Factor 0*w**3 - 1/3*w**5 + 2/3*w**2 + 1/3*w + h - 2/3*w**4.
-w*(w - 1)*(w + 1)**3/3
Let a(y) be the second derivative of y**5/30 + 5*y**4/36 + 2*y**3/9 - 3*y**2/2 + 2*y. Let j(g) be the first derivative of a(g). Factor j(h).
2*(h + 1)*(3*h + 2)/3
Let x(y) be the first derivative of y**5/40 - y**4/12 - y**3/12 + y**2/2 - y + 2. Let q(z) be the first derivative of x(z). Find m such that q(m) = 0.
-1, 1, 2
Let g(x) be the third derivative of -x**8/448 - x**7/140 - x**6/160 + 8*x**2. Factor g(k).
-3*k**3*(k + 1)**2/4
Let v(s) = -s**2 + 16*s + 60. Let h be v(19). Determine l, given that 2/7*l**h - 2/7 - 2/7*l + 2/7*l**2 = 0.
-1, 1
Let b(j) be the first derivative of 9*j**4/4 - 14*j**3 + 30*j**2 - 24*j - 6. Factor b(c).
3*(c - 2)**2*(3*c - 2)
Let j = 3/4 + 17/20. Factor j + 8/5*v + 2/5*v**2.
2*(v + 2)**2/5
Let p(x) be the first derivative of 2*x**5/45 - x**4/6 + 2*x**3/27 + x**2/3 - 4*x/9 + 4. Factor p(s).
2*(s - 2)*(s - 1)**2*(s + 1)/9
Let t be 3 - ((49/4)/7 - -1). Let -t*s + 0 + 1/4*s**2 = 0. Calculate s.
0, 1
Suppose 3*w + 3 = 12. Suppose -6 = -w*z + 6. Let 3*i**2 - i**4 - 5*i**2 + 6*i**3 + z - i**4 - 6*i = 0. What is i?
-1, 1, 2
Let y(s) = -15*s**3 - 40*s**2 + 15*s. Let g(a) = a**3 + a**2. Let i(o) = -20*g(o) - y(o). Factor i(h).
-5*h*(h - 3)*(h - 1)
Let a(r) be the first derivative of -r**6/15 + 2*r**4/5 - 4*r**3/15 - 3*r**2/5 + 4*r/5 - 15. Find l such that a(l) = 0.
-2, -1, 1
Let h(y) be the first derivative of 1/180*y**5 - 1/2*y**2 + 1/72*y**4 + 1 + 0*y**3 + 0*y. Let a(l) be the second derivative of h(l). Factor a(i).
i*(i + 1)/3
Let x = 36 + -34. Factor 0 - j**x - 1/4*j**3 - j.
-j*(j + 2)**2/4
Let i(d) = -d - 3. Let c(r) = -r**3 - 14*r**2 - 12*r + 10. Let g be c(-13). Let t be i(g). Factor 0*h + 2/5*h**3 - 2/5*h**5 + 0*h**4 + 0 + t*h**2.
-2*h**3*(h - 1)*(h + 1)/5
Let u(c) be the first derivative of -c**3/9 + c**2/3 - c/3 - 8. Factor u(l).
-(l - 1)**2/3
Let l be 1/((-1)/(-6)*12/8). Factor 8/3 - 5/3