0. Calculate j.
0, 2
Let d(i) be the third derivative of i**7/1785 - i**6/1020 - 8*i**2. Let d(u) = 0. What is u?
0, 1
Let s be 4 + -1 - (2 + 5). Let b be ((-2)/s)/(9/12). Determine q so that 0 - 4/3*q**2 + 2/3*q**3 + b*q = 0.
0, 1
Let t(d) be the first derivative of -14*d**3/3 + 2*d**2 + 3. Factor t(v).
-2*v*(7*v - 2)
Factor -6/5 + 1/5*s**2 + s.
(s - 1)*(s + 6)/5
Let c(y) = 3*y**5 - 16*y**3 - 5*y**2 + 3*y + 5. Let z(n) = -2*n**5 + 8*n**3 + 2*n**2 - 2*n - 2. Let p(v) = -2*c(v) - 5*z(v). Determine x, given that p(x) = 0.
-1, 0, 1
Determine o, given that 15/4*o - 9/2 - 3/4*o**2 = 0.
2, 3
Find m, given that -2/7*m**3 - 10/7*m**2 - 6/7 - 2*m = 0.
-3, -1
Let v(a) be the second derivative of 4*a + 0*a**4 - 1/126*a**7 + 0 - 1/60*a**6 + 1/60*a**5 + 0*a**2 + 0*a**3. Factor v(s).
-s**3*(s + 2)*(2*s - 1)/6
Let a = -1/353 + 377/8472. Let z(m) be the first derivative of -1/16*m**4 - 1/6*m**3 - 4 + a*m**6 + 0*m + 1/10*m**5 + 0*m**2. What is c in z(c) = 0?
-2, -1, 0, 1
Let k be (-280)/114 - 3/(-1). Let l = -4/19 + k. What is i in 2/3*i - 1/3*i**2 - l = 0?
1
Suppose -2*p = 2*l - 0*l, -2*p = 4. Determine j, given that -l*j**2 + 5/2*j**4 + 0*j + 2*j**3 - 3/2*j**5 + 0 = 0.
-1, 0, 2/3, 2
Let i(j) be the first derivative of -201/4*j**4 - 23*j**3 + 12*j - 49/2*j**6 + 1 + 24*j**2 + 357/5*j**5. Find t, given that i(t) = 0.
-2/7, 1
Solve -18/5*p**2 + 0 + 3*p**4 - 39/5*p**3 + 0*p = 0 for p.
-2/5, 0, 3
Suppose -5*k = 4*u + 8, k = 5*u - 0*u + 10. Let p = 34 + -100/3. Factor 4/3*c**3 + p*c**2 + 0 + 2/3*c**4 + k*c.
2*c**2*(c + 1)**2/3
Let q(u) = u**2 - u. Let j(b) = b**3 + 4*b**2 - 6*b + 1. Let n(m) = -j(m) + 5*q(m). Factor n(h).
-(h - 1)**2*(h + 1)
Let b = 30 - 75. Let f be (-10)/(-18) - (-10)/b. Factor f*z + 2/3 - z**2.
-(z - 1)*(3*z + 2)/3
Let s = -2/465 + 469/930. Factor -1/4*i**3 - s*i**2 + 1/2 + 1/4*i.
-(i - 1)*(i + 1)*(i + 2)/4
Let i(u) = u**2 - 5*u + 6. Let r be i(4). Factor -2*c**3 - 2*c**r + 3*c**3 + 3*c**2 - 2*c**2.
c**2*(c - 1)
Let i(o) be the second derivative of o**4/6 + o**3/3 - 2*o**2 - 13*o. Factor i(c).
2*(c - 1)*(c + 2)
Let u(r) be the second derivative of r**7/3780 - r**6/540 + r**5/180 - r**4/108 - r**3/6 - r. Let w(g) be the second derivative of u(g). Factor w(v).
2*(v - 1)**3/9
Let t(i) be the second derivative of 0 - 1/3*i**3 - 1/5*i**2 - 2/15*i**4 - 3*i. Determine s so that t(s) = 0.
-1, -1/4
Let v(i) be the third derivative of 2*i**7/105 + i**6/60 - i**5/6 + i**4/6 - 14*i**2. Factor v(g).
2*g*(g - 1)*(g + 2)*(2*g - 1)
Let v(u) be the first derivative of -u**7/21 + u**6/20 + u**5/15 - u**2/2 + 1. Let o(d) be the second derivative of v(d). Find y such that o(y) = 0.
-2/5, 0, 1
Let l(c) = 16*c - 6*c**3 + c**3 - 5*c - 6*c**3 + 10*c**2 + 4. Let o(s) = -s**3 - s**2 + 1. Let a(r) = -2*l(r) + 4*o(r). Factor a(j).
2*(j - 2)*(3*j + 1)**2
Let k(p) be the third derivative of p**8/1512 + p**7/945 - p**6/180 - p**5/270 + p**4/54 + 4*p**2. Suppose k(a) = 0. Calculate a.
-2, -1, 0, 1
Solve -3*t**2 + 10*t**2 + 3*t + t - 5*t**2 = 0.
-2, 0
Suppose 0*x + 4*x - 20 = 0. Factor 7*j**5 + 12*j**4 + 7*j**x - 5*j**5 + 18*j**3 - 3*j + 12*j**4.
3*j*(j + 1)**3*(3*j - 1)
Suppose -16/3*k + 4/3 + 8*k**2 + 4/3*k**4 - 16/3*k**3 = 0. Calculate k.
1
Let y(k) be the second derivative of -k**6/60 + k**5/20 + k**4/6 - 2*k**3/3 - k. Factor y(a).
-a*(a - 2)**2*(a + 2)/2
Let q(u) = 2*u**2. Let x(l) = l. Let i be x(-1). Let o be q(i). Let -5*k**3 + k**3 - 6*k + 6*k**2 + 2*k**3 + o = 0. Calculate k.
1
Let w(k) be the first derivative of 128*k**3/9 - 16*k**2/3 + 2*k/3 + 3. Factor w(y).
2*(8*y - 1)**2/3
Let h be 0/(-2) - 20/(-75). Let n = 23/30 - h. Factor n*g**4 - 1/2*g**2 + 1/4*g + 0*g**3 - 1/4*g**5 + 0.
-g*(g - 1)**3*(g + 1)/4
Let b(d) be the first derivative of 0*d + 3 + 1/120*d**5 - 1/48*d**4 - 1/6*d**3 + d**2. Let v(f) be the second derivative of b(f). Factor v(l).
(l - 2)*(l + 1)/2
Let g be 6/12 - (-14)/4. Suppose 0 = -g*y + y. Factor 2/9*t**4 - 4/9*t + y - 2/3*t**2 + 0*t**3.
2*t*(t - 2)*(t + 1)**2/9
Let u(w) = 3*w**4 + 3*w**3 - 2*w**2 + 2*w. Let c(p) = p**3 + p. Let g(h) = -2*c(h) + u(h). What is a in g(a) = 0?
-1, 0, 2/3
Let u(k) = 5*k**2 - 2*k. Let o(h) be the first derivative of -1 - h**2 + 0*h + 4/3*h**3. Let r(y) = -3*o(y) + 2*u(y). Determine f so that r(f) = 0.
0, 1
Let a be 2/(-2) - (-77)/21. Let v(g) be the first derivative of -2 - 4*g**2 - a*g**3 - 2*g. Factor v(j).
-2*(2*j + 1)**2
Let u(d) be the second derivative of 1/9*d**3 + 0 + d - 1/9*d**4 + 1/30*d**5 + 0*d**2. Let u(i) = 0. What is i?
0, 1
Let g = -26/9 - -61/18. Let f(n) be the first derivative of -g*n**3 - 1/2*n**2 + 5/8*n**4 + 1 + 0*n. Factor f(l).
l*(l - 1)*(5*l + 2)/2
Let n(o) be the second derivative of -o**6/40 + o**5/10 - o**4/8 - o**3/2 + 3*o. Let f(p) be the second derivative of n(p). Solve f(y) = 0 for y.
1/3, 1
Let r be ((-144)/(-27))/(-16)*-1. What is y in 0*y + 0 + 1/3*y**2 - 1/3*y**4 - 1/3*y**3 + r*y**5 = 0?
-1, 0, 1
Let u be (-27)/4 - (-11)/(-44). Let q(i) = -i - 4. Let t be q(u). Find n, given that 2/7*n**5 + 2/7*n - 2/7 - 4/7*n**t - 2/7*n**4 + 4/7*n**2 = 0.
-1, 1
Let l(c) be the first derivative of -3*c**4/4 + 3*c**3 - 12*c - 25. Factor l(i).
-3*(i - 2)**2*(i + 1)
Let j(q) = q**3 - q**2. Let p(r) = 2*r**4 - 4*r**3 - 4*r**2 - 30*r + 36. Let g(l) = -20*j(l) - 2*p(l). Factor g(t).
-4*(t - 2)*(t - 1)*(t + 3)**2
Suppose 7/2*f**4 - 73/4*f**3 - 1/4*f**5 - 44*f + 16 + 43*f**2 = 0. What is f?
1, 4
Let t(f) = 15*f**3 + 20*f**2 + 8*f - 3. Let c(l) = -30*l**3 - 40*l**2 - 17*l + 7. Let z(d) = -3*c(d) - 7*t(d). Suppose z(k) = 0. What is k?
-1, -1/3, 0
Suppose -2*m + 2*m = m. Let i(u) be the third derivative of 1/12*u**3 + 0 + 4*u**2 + m*u**4 - 1/120*u**5 + 0*u. Factor i(f).
-(f - 1)*(f + 1)/2
Let z = 13 - 11. Let m(a) be the second derivative of 0*a**5 + 0*a**2 + 1/45*a**6 - z*a - 1/6*a**4 + 2/9*a**3 + 0. Solve m(x) = 0.
-2, 0, 1
Let z = -14 - -20. Let y(l) be the third derivative of -1/180*l**z + 0*l + 1/12*l**4 - 2*l**2 + 0 + 0*l**5 - 2/9*l**3. Find o such that y(o) = 0.
-2, 1
Let k be 4/10 + 51/(-15). Let i(o) = o**3 + 4*o**2 + 3*o. Let w be i(k). Factor -n**4 + 0*n**4 + w*n**3 + n**3.
-n**3*(n - 1)
Let q(f) be the first derivative of -2 + 5/3*f**2 + 2/3*f + 8/9*f**3. Factor q(r).
2*(r + 1)*(4*r + 1)/3
What is z in -37*z + 49*z + 154*z**3 - 49*z**3 + 36*z**4 + 72*z**2 = 0?
-2, -2/3, -1/4, 0
Suppose -4*m = 3*r - 2 - 0, 0 = -5*r - 3*m + 7. Let g = 3 + r. Factor -x**2 - 2*x**4 + x**5 + 0*x**g - x + 3*x**2.
x*(x - 1)**3*(x + 1)
Factor -11*b**2 - b**5 + b - b + 10*b**2 - 3*b**4 - 3*b**3.
-b**2*(b + 1)**3
Factor 4/9*t - 2/9*t**2 + 0.
-2*t*(t - 2)/9
Let v be ((-448)/480)/((-2)/5). Factor 2/3 - v*c**2 + 5/3*c.
-(c - 1)*(7*c + 2)/3
Let b = 14 - 10. Suppose -w - 6 = -0*i + b*i, -w + 10 = -4*i. Determine h, given that 1/2*h + 5/2*h**4 + 3/2*h**3 - 2*h**5 + 0 - 5/2*h**w = 0.
-1, 0, 1/4, 1
Let s(x) be the third derivative of x**5/100 + x**4/40 - 3*x**3/5 - 2*x**2. Determine u, given that s(u) = 0.
-3, 2
Let w(o) be the first derivative of o**3 + 0*o - 1/48*o**4 + 0*o**2 - 1/1440*o**6 - 3 - 1/160*o**5. Let z(j) be the third derivative of w(j). Factor z(g).
-(g + 1)*(g + 2)/4
Let v(g) be the third derivative of -g**5/540 + g**3/54 - g**2. Factor v(j).
-(j - 1)*(j + 1)/9
Let k = -18 - -22. Find q, given that 2/7 + 4/7*q**2 + 6/7*q - 4/7*q**3 - 2/7*q**5 - 6/7*q**k = 0.
-1, 1
Let b(j) be the second derivative of -j**6/5 + 3*j**5/20 + j**4/4 + 5*j. Factor b(w).
-3*w**2*(w - 1)*(2*w + 1)
Let c(q) be the second derivative of q**7/28 + q**6/3 + 47*q**5/40 + 7*q**4/4 + q**3/3 - 2*q**2 - 3*q - 5. Factor c(z).
(z + 1)*(z + 2)**3*(3*z - 1)/2
Let a(x) be the first derivative of -x**5/60 - x**4/9 - 5*x**3/18 - x**2/3 + 3*x + 5. Let i(j) be the first derivative of a(j). Solve i(c) = 0 for c.
-2, -1
Let r(q) be the third derivative of -2*q**2 + 1/12*q**4 + 1/720*q**6 + 0*q + 0 - 1/60*q**5 - 2/9*q**3. Solve r(x) = 0.
2
Let u(y) be the second derivative of 1/72*y**4 + 0 - 1/12*y**2 + 3*y + 0*y**3. Factor u(p).
(p - 1)*(p + 1)/6
Let s(r) = 12*r + 1. Let t be s(2). Let y = t - 23. Factor -1/3*a**3 - 1/3*a**y + 0 + 1/3*a + 1/3*a**4.
a*(a - 1)**2*(a + 1)/3
Factor 1/2*x**5 + 0 + 1/2*x**2 - 1/2*x**4 + 0*x - 1/2*x**3.
x**2*(x - 1)**2*(x + 1)/2
Suppose 2 = -2*u - 4. Let c(p) = -p**3 - 2*p**2 + p - 4. Suppose -h = h - 2. Let d(z) = -z**2 - 1. Let b