*n + 3/4*n**3 + 0 - 15/4*n**2.
3*n*(n - 1)**2*(n + 3)/4
Let i = 553/5 + -110. Let 6/5*j**2 - 12/5*j**5 + 0 - i*j - 12/5*j**4 + 9/5*j**3 = 0. What is j?
-1, 0, 1/2
Suppose -4*t + 7 = -25. Suppose -2*u = 2*u - t. Factor -3*b**u - 1 + 3*b - 3*b**3 + 2*b**3 + 2*b**3.
(b - 1)**3
Find f such that 3*f**2 + 4*f**3 - 3*f**2 + 2*f**4 - 6*f**2 = 0.
-3, 0, 1
Let g be 16/(-56) + 16/7. Suppose 4/5*b**g + 4/5 - 2/5*b**5 - 8/5*b**4 + 2*b - 8/5*b**3 = 0. Calculate b.
-2, -1, 1
Let m(l) = 4*l**3 - 4*l**2 + 2*l + 5. Let t(a) = 3*a**2 - 6*a**2 + 3*a**3 + 4 + 8*a - 6*a. Let s(k) = -4*m(k) + 5*t(k). Let s(f) = 0. Calculate f.
-1, 0, 2
Let p = 3852/5 + -770. Factor -3/5*l**2 + 0 + p*l.
-l*(3*l - 2)/5
Let t = -43 + 45. Let f = 3 + 0. Factor -s**t + 0*s + 6*s + 1 - 3*s**2 + f.
-2*(s - 2)*(2*s + 1)
Let l(t) = t**2 - 12*t + 5. Let k be l(12). Let m(d) be the second derivative of -1/30*d**4 + 0*d**3 + 0 - 1/100*d**k + 0*d**2 + 1/150*d**6 + 2*d. Factor m(f).
f**2*(f - 2)*(f + 1)/5
Let b(j) be the second derivative of j**7/168 - j**5/40 + j**3/24 - 11*j. Let b(q) = 0. Calculate q.
-1, 0, 1
Find u such that -1/4*u**4 + 1/4*u**3 - 1/4*u + 1/4*u**2 + 0 = 0.
-1, 0, 1
Suppose 3*a = -5*u - 140, -2*u - 3*a - 37 = 2*a. Let x = u + 31. Factor -1/3*k + 1/3*k**2 + x.
k*(k - 1)/3
Let y(b) = -b**4 - b**3 - b**2 + b. Let j(m) = 5*m**4 + 4*m**3 + 2*m**2 - 4*m + 1. Let z(c) = j(c) + 4*y(c). Factor z(n).
(n - 1)**2*(n + 1)**2
Factor -4/11*p + 2/11 + 2/11*p**2.
2*(p - 1)**2/11
Let k be (-218)/(-109)*-3*(-2)/4. Factor -13/4*r**3 - 1/4*r**5 - r + 3/2*r**4 + 0 + k*r**2.
-r*(r - 2)**2*(r - 1)**2/4
Let b(n) be the first derivative of 1/6*n**6 + 3/4*n**4 + 0*n + 0*n**2 + 1/3*n**3 + 3/5*n**5 - 3. Factor b(i).
i**2*(i + 1)**3
Factor 25/8*p**3 + 7/2*p - 1 - p**4 - 19/4*p**2 + 1/8*p**5.
(p - 2)**3*(p - 1)**2/8
Let z be 8/(-20) - (-157)/5. Factor 12*r**4 - 3*r**3 - 31 + z.
3*r**3*(4*r - 1)
Factor o**2 + 8/5*o + 4/5 + 1/5*o**3.
(o + 1)*(o + 2)**2/5
Let s be 4/(-6)*195/(-26). Let l be s*1*12/20. Determine r, given that 9/2*r**4 + r + 13/2*r**2 + 0 + 10*r**l = 0.
-1, -2/9, 0
Let s(p) be the third derivative of p**8/80640 - p**6/2880 + p**5/30 - 2*p**2. Let c(b) be the third derivative of s(b). Suppose c(r) = 0. Calculate r.
-1, 1
Let x(f) be the second derivative of -3*f**5/140 - f**4/8 - f**3/7 + 3*f**2 - 10*f. Let u(v) be the first derivative of x(v). Factor u(b).
-3*(b + 2)*(3*b + 1)/7
Let y(x) be the second derivative of 1/60*x**5 - 1/6*x**2 + 1/36*x**4 + 0 - x - 1/18*x**3. Factor y(v).
(v - 1)*(v + 1)**2/3
Let o(g) be the second derivative of g**6/135 - 2*g**5/45 + 16*g**3/27 - 16*g**2/9 - 19*g. Factor o(j).
2*(j - 2)**3*(j + 2)/9
Let p(w) be the second derivative of 4*w - 4/9*w**3 + 0 + 1/36*w**4 + 8/3*w**2. Let p(x) = 0. What is x?
4
Let h = -24 + 24. Suppose h - 1/5*n**3 + 0*n + 0*n**2 + 1/5*n**5 + 0*n**4 = 0. Calculate n.
-1, 0, 1
Suppose 13*y - 12 = 10*y. Factor -2/11*a + 0 + 2/11*a**5 - 4/11*a**2 + 4/11*a**y + 0*a**3.
2*a*(a - 1)*(a + 1)**3/11
Let k(n) be the second derivative of 17/6*n**3 - 6*n + 49/120*n**6 + 35/16*n**5 + n**2 + 0 + 31/8*n**4. Let k(a) = 0. What is a?
-2, -1, -2/7
Let o(f) be the second derivative of -f**8/3360 + f**7/1260 - f**4/4 + 2*f. Let w(m) be the third derivative of o(m). Let w(j) = 0. Calculate j.
0, 1
Let x(q) be the first derivative of 0*q + 4 - 2/3*q**3 + 1/4*q**4 + 1/2*q**2. Determine f, given that x(f) = 0.
0, 1
Let v(m) = -2*m - 14. Let z be v(-7). Let a(u) be the first derivative of z*u**4 + 1/3*u**3 - 2 + 0*u - 1/5*u**5 + 1/12*u**6 - 1/4*u**2. Solve a(l) = 0 for l.
-1, 0, 1
Determine q, given that 3*q**3 + 3*q - 27/2*q**4 + 0 + 27/2*q**2 - 6*q**5 = 0.
-2, -1, -1/4, 0, 1
Suppose 22 = 5*q - 3*t, -3*q = -5*t - 11 - 15. Factor 3*x**5 + 6*x**4 + 0*x**5 - 3*x**2 - 3*x - 3*x**q.
3*x*(x - 1)*(x + 1)**3
Let j = -20 - -24. Suppose -j*y = 4*g - 4, -7 = -y - 4*y - 3*g. Factor -2/5*o**y - 1/5*o + 1/5.
-(o + 1)*(2*o - 1)/5
Let f be (-2)/7 - 26*(-4)/70. Determine k so that 2/5*k**3 + 4/5*k**2 - f*k**4 + 0*k + 0 = 0.
-2/3, 0, 1
Solve -9/5*y**3 - 3/5*y**2 + 0*y - 3/5*y**5 + 0 - 9/5*y**4 = 0 for y.
-1, 0
Let h(z) be the third derivative of 3*z**2 + 1/144*z**4 - 1/720*z**6 + 0 + 1/180*z**5 - 1/18*z**3 + 0*z. What is a in h(a) = 0?
-1, 1, 2
Factor 14*y - 3*y**5 + 4*y**3 - 5*y + 2*y**3 - 12*y.
-3*y*(y - 1)**2*(y + 1)**2
Let x(j) be the first derivative of -5 + 0*j**2 - 2/21*j**3 + 0*j. Factor x(a).
-2*a**2/7
Let k = -4135/9 + 460. Let f = k - 11/36. Determine l so that 0 - f*l - 1/2*l**2 - 1/4*l**3 = 0.
-1, 0
Let c(x) = 3*x**2 - 9*x + 17. Let g(i) = -i**2 + 3*i - 6. Let n(l) = 4*c(l) + 11*g(l). Let n(w) = 0. What is w?
1, 2
Let n = 39 - -9. Determine q so that -20*q**4 - 31*q + 2*q**3 - 4*q**5 - 4 + 11*q - n*q**2 + 8*q**2 - 42*q**3 = 0.
-1
Let t(n) be the second derivative of -4*n - 1/12*n**5 - 17/36*n**4 - 2/3*n**2 + 0 - 8/9*n**3. Determine g so that t(g) = 0.
-2, -1, -2/5
Let c be (-15 + 7)/24 - -1. Determine r, given that -c*r**2 + 8/3 + 4/3*r - 1/3*r**3 = 0.
-2, 2
Suppose l = -r + 7, -5*r + 15 - 5 = 0. Solve 1/3*a**3 + 0*a**2 + 0*a**4 + 0*a + 0 - 1/3*a**l = 0.
-1, 0, 1
Let b(v) = 20*v**4 - 136*v**3 + 136*v - 20. Let a(l) = -3*l**4 + 21*l**3 - 21*l + 3. Let j(d) = -32*a(d) - 5*b(d). What is g in j(g) = 0?
-1, 1
Let p(i) = -i - 9. Let v be p(-9). Factor 0*l**2 + v + 1/3*l**3 + 1/3*l**5 - 2/3*l**4 + 0*l.
l**3*(l - 1)**2/3
Let b be 2/(-4)*(-4)/1. Factor 26/7*k + 22/7*k**b + 4/7.
2*(k + 1)*(11*k + 2)/7
Factor 18*r**2 + 2368 - 3*r**3 - 27*r - 2368.
-3*r*(r - 3)**2
Factor 63*k**3 + 10 - 60*k**3 - 15*k - 1 + 3*k**2.
3*(k - 1)**2*(k + 3)
Suppose c = -0*c. Let v(z) be the first derivative of c*z + 1/16*z**4 + 0*z**2 - 2 - 1/12*z**3. What is x in v(x) = 0?
0, 1
Let z = 0 + 3. Let f = -2/2189 + 35042/19701. Factor 0 + f*u**z - 10/9*u**4 - 4/9*u - 2/9*u**2.
-2*u*(u - 1)**2*(5*u + 2)/9
Suppose 0 = -0*j + 2*j - 3*m + 8, 4*j - 5*m + 14 = 0. Let c = 3 + j. Suppose -5*l**4 - l - l**5 + 2*l**3 + 2*l**c - 1 + 4*l**4 + 0*l = 0. Calculate l.
-1, 1
Let u(m) be the third derivative of -m**8/20160 + m**7/2520 - m**5/20 + m**2. Let g(w) be the third derivative of u(w). Factor g(t).
-t*(t - 2)
Let j(d) be the second derivative of d**5/270 + d**4/108 - 2*d**3/27 + d**2/2 + d. Let h(k) be the first derivative of j(k). Let h(c) = 0. What is c?
-2, 1
Let a(b) = b**2 + 7*b + 3. Let p be a(-7). Solve 9*j**2 + 3 - 13*j + 4*j + 2*j**3 - p*j**3 - 2*j**3 = 0.
1
Let 32/5 + 2/5*m**2 + 16/5*m = 0. What is m?
-4
Suppose 5*m + 2*m - 14 = 0. Suppose -1/2*z + 3/4*z**m - 1/4 = 0. Calculate z.
-1/3, 1
What is b in 0 + 0*b**2 + 0*b**3 + 2/9*b**4 + 0*b = 0?
0
Let r(h) = -5*h**4 - 11*h**3 - 7*h**2. Let a(s) = s**4 - s**3 - s**2. Let j(f) = a(f) + r(f). Find p such that j(p) = 0.
-2, -1, 0
Let u(d) be the third derivative of -d**4/24 - d**3/6 - 2*d**2. Let v(h) = h**2 - 9*h - 6. Let z(l) = 14*u(l) - 2*v(l). Factor z(a).
-2*(a - 1)**2
Factor -1/2*k**2 - 5/4*k - 1/2.
-(k + 2)*(2*k + 1)/4
Let g(r) be the third derivative of r**8/1008 - r**7/630 - 6*r**2. Determine y, given that g(y) = 0.
0, 1
Let x be 12/5*(-16)/(-6). Let o = 34/5 - x. Factor o*c**2 - 6/5*c + 4/5.
2*(c - 2)*(c - 1)/5
Let f(b) be the third derivative of -b**9/37800 + b**8/8400 - b**7/6300 - b**4/8 + 2*b**2. Let c(n) be the second derivative of f(n). Factor c(h).
-2*h**2*(h - 1)**2/5
Let y(g) be the second derivative of 1/12*g**4 + 0 - 2/3*g**3 + 2*g**2 - 5*g. Factor y(q).
(q - 2)**2
Suppose 2*w - 2*i - 30 = -i, -2*w + 3*i + 38 = 0. Let j = w + -11. Let -d - 1/2 + 3/2*d**2 + j*d**3 - 2*d**4 = 0. Calculate d.
-1/2, 1
Let v(d) be the third derivative of -1/36*d**6 + 2*d**2 - 5/72*d**4 + 1/18*d**3 - 1/1008*d**8 + 1/18*d**5 + 0*d + 0 + 1/126*d**7. Factor v(h).
-(h - 1)**5/3
Let m = -13 - -8. Let n = -1 - m. Factor 0*a**2 + 0*a + 0 - 2/3*a**3 + 2/3*a**n.
2*a**3*(a - 1)/3
Factor -3/8*t**2 + 0 + 1/8*t**4 + 1/4*t**3 + 0*t.
t**2*(t - 1)*(t + 3)/8
Determine l so that 1/7*l - 2/7 + 1/7*l**2 = 0.
-2, 1
Let t(r) be the second derivative of -r**6/210 + 3*r**5/140 - r**4/28 + r**3/42 - 6*r. Find u, given that t(u) = 0.
0, 1
Factor 0 + 16/3*s**2 - 4/3*s**4 + 0*s - 2/3*s**5 + 8/3*s**3.
-2*s**2*(s - 2)*(s + 2)**2/3
Let z(t) be the third derivative of -t**9/26880 + t**8/5376 + t**7/630 + t**6/240 - t**5/60 + 3*t**2. Let i(j) be the third derivative of z(j). Factor i(b).
-(b -