*k**2 - f*k.
-(k + 1)*(k + 2)/6
Suppose -13*v = -4*v + 12*v. Solve 0 + 16/3*j**4 - 4/3*j**3 + v*j - 2/3*j**2 = 0.
-1/4, 0, 1/2
Let j(t) be the first derivative of 0*t + 1/10*t**4 + 0*t**2 + 4/25*t**5 + 0*t**3 + 3 + 1/15*t**6. Factor j(x).
2*x**3*(x + 1)**2/5
Let w(l) = 48*l**2 + 63*l + 69. Let m(c) = -2*c**2 + 9*c**2 + 9*c + 10 + 0*c**2. Let y(i) = 27*m(i) - 4*w(i). Let y(k) = 0. Calculate k.
-2, -1
What is x in -25*x - 8*x**2 + 3*x**2 + 4 - 4 = 0?
-5, 0
Let h(y) = y**3 + 7*y**2 + 5*y - 7. Let l be h(-6). Let p(d) = d. Let f(t) = -9*t**2 + 15*t. Let n(x) = l*f(x) + 12*p(x). Let n(z) = 0. Calculate z.
0, 1/3
Let c(s) be the second derivative of -s**7/42 - s**6/45 + 3*s**5/20 + s**4/3 + 2*s**3/9 - s. Let c(m) = 0. Calculate m.
-1, -2/3, 0, 2
Let i = -2 - -5. Let w(v) be the second derivative of 0 + 1/40*v**5 + 0*v**2 - 1/12*v**i + 0*v**4 - 2*v. Factor w(j).
j*(j - 1)*(j + 1)/2
Let h(l) be the third derivative of -l**6/40 + l**5/10 - l**4/8 + 10*l**2. Factor h(v).
-3*v*(v - 1)**2
Let y = 14 + -7. Let s be 1*3 + (-19)/y. Let 0*p**4 - 2/7*p - s*p**5 + 4/7*p**3 + 0*p**2 + 0 = 0. What is p?
-1, 0, 1
Let c be (0 + 4/5)/(62/155). Let p(f) be the third derivative of 0*f**3 + 0 - 4*f**c + 0*f + 1/24*f**4 - 1/60*f**5. Factor p(j).
-j*(j - 1)
Let n(d) be the second derivative of 7*d**6/540 + d**5/36 - d**4/18 - d**3/2 - 4*d. Let s(y) be the second derivative of n(y). Find x, given that s(x) = 0.
-1, 2/7
Let t(i) be the second derivative of i**4/15 - 4*i**3/5 - 14*i**2/5 - 29*i. Suppose t(u) = 0. Calculate u.
-1, 7
Suppose 0 = -0*r - 4*r - o - 2, -5*o = 3*r + 10. Let d(h) be the first derivative of r*h**3 - h**2 - 3 + 0*h + 1/2*h**4. Suppose d(m) = 0. Calculate m.
-1, 0, 1
Let v(n) be the first derivative of -n**6/2160 - n**5/240 - n**4/72 - 2*n**3/3 + 2. Let p(x) be the third derivative of v(x). Factor p(k).
-(k + 1)*(k + 2)/6
Solve 0*v - 21/2*v**4 + 0 + 15*v**3 + 3/2*v**5 + 0*v**2 = 0.
0, 2, 5
Suppose -8/7*x**3 + 8/7*x**2 + 4/7*x + 4/7*x**5 - 4/7 - 4/7*x**4 = 0. What is x?
-1, 1
Factor -1/4*y - 1/4*y**5 + 0 + 0*y**2 + 0*y**4 + 1/2*y**3.
-y*(y - 1)**2*(y + 1)**2/4
Let c be -1*(-1 + -2) + -1. Suppose c*b - 5 = b. Suppose 4*s**2 - 2 - 2*s**b - 2*s + 3*s**4 - 5*s**4 + 0*s**4 + 4*s**3 = 0. What is s?
-1, 1
Let n(p) = -p**3 - p**2 + p - 1. Let g(b) = 7*b**3 + 7*b**2 - 7*b + 9. Let r(o) = -5*g(o) - 40*n(o). Suppose r(q) = 0. Calculate q.
-1, 1
Suppose -6*u + 25 = -u. Let w = 37 + -32. Solve -6*s**4 - 2*s**w + 6*s**2 + 4*s**u - 4*s + 0*s**5 + 2*s**3 = 0.
-1, 0, 1, 2
Suppose 2 = n + 7, -2*r - 2*n + 2 = 0. Suppose 4*g + u - r*u - 3 = 0, -2*u = 2*g - 6. Determine j so that 2/7*j**g - 2/7*j**4 + 0 + 2/7*j - 2/7*j**3 = 0.
-1, 0, 1
Let -3 - 12*q**4 - 4*q + 9*q**4 - 2*q**2 + 2 + 6*q**4 + 4*q**3 = 0. Calculate q.
-1, -1/3, 1
Solve -44 - 9*i**4 + 19 + 21 + 2*i + 8*i**3 - 7*i**4 + 20*i**2 - 10*i**5 = 0.
-1, 2/5, 1
Suppose 0 = r + 5*i + 18, 0 = -r - 4*i + 3*i - 2. Suppose r*z**3 - 6*z**3 + 4*z**3 - z**3 = 0. What is z?
0
Factor -3/5 + 3/5*j**2 - 3/5*j + 3/5*j**3.
3*(j - 1)*(j + 1)**2/5
Let h(t) be the first derivative of -4*t**3/3 + 3*t**2 - 5*t - 3. Let r(d) = 3*d**2 - 5*d + 4. Let i(j) = 4*h(j) + 5*r(j). Let i(w) = 0. What is w?
-1, 0
Solve -42/5*w - 3/5*w**2 - 147/5 = 0.
-7
Let o(d) be the second derivative of d**7/189 - d**6/135 - d**5/30 + 5*d**4/54 - 2*d**3/27 - 26*d. Let o(q) = 0. What is q?
-2, 0, 1
Let w be (-22)/(-3) + (-2)/6. Suppose -o - 3 + w = 0. Factor -5*z**o + 4*z**2 + z**4 + 2*z**5 + 0*z - 2*z.
2*z*(z - 1)**3*(z + 1)
Let s(p) = p**2 - 9*p - 8. Suppose 5*z - 50 = -5*t, 4*z = -0*t - 3*t + 30. Let v be s(t). Factor 1/2*i**v + 2 - 2*i.
(i - 2)**2/2
Let s(x) be the first derivative of x**5/180 - x**4/18 + 2*x**3/9 - x**2/2 - 3. Let q(a) be the second derivative of s(a). What is f in q(f) = 0?
2
Let p(u) = -u**2 + u. Let v be p(1). Let 0 + v + 2 - s**3 - 5*s + 4*s**2 + 0*s**3 = 0. Calculate s.
1, 2
Let b(a) be the first derivative of 5 - 1/2*a**6 + 0*a + 2*a**3 + 3/4*a**4 + 0*a**2 - 6/5*a**5. What is w in b(w) = 0?
-2, -1, 0, 1
Let m(a) = -a**2 - 10*a - 12. Suppose -2*c = -c + 8. Let x be m(c). Factor 4/3*p**x + 1/3*p + 4/3*p**2 + 1/3*p**5 + 0 + 2*p**3.
p*(p + 1)**4/3
Let h(v) be the first derivative of -v**4/6 - 4*v**3/9 - v**2/3 - 5. Determine q, given that h(q) = 0.
-1, 0
Suppose 0 = 4*y - 3 - 1. Let f(o) = 3*o**3 - 1. Let a be f(y). Factor 2*k + 4*k**2 - a*k**2 + 2*k.
2*k*(k + 2)
Let 5*j**3 + 0*j**3 + 6 - 3*j + j**3 - 3*j**3 - 6*j**2 = 0. Calculate j.
-1, 1, 2
What is c in 0*c + 1/5*c**4 + 1/5 - 2/5*c**2 + 0*c**3 = 0?
-1, 1
Factor 0*k**2 + 5*k**2 - 25*k + 25 - 5*k.
5*(k - 5)*(k - 1)
Let k(p) = -6*p - 5. Let l(q) = 7*q + 6. Let y(i) = -6*k(i) - 5*l(i). Let s be y(2). Factor 5*f**2 - 4*f**2 - s + f**2.
2*(f - 1)*(f + 1)
Let q(p) be the first derivative of -p**7/700 - 7*p**6/1800 + p**4/120 - 2*p**3/3 - 3. Let i(v) be the third derivative of q(v). Let i(t) = 0. Calculate t.
-1, -1/2, 1/3
Let q(a) be the second derivative of -2*a**6/15 - 3*a**5/5 + 8*a**3/3 - 2*a. Factor q(o).
-4*o*(o - 1)*(o + 2)**2
Let q = 854 - 2560/3. Determine d so that 4/3*d**5 - 2*d**3 + 0 + 2/3*d - q*d**4 + 2/3*d**2 = 0.
-1, -1/2, 0, 1
Let u(a) = -a**4 - a**2 + 1. Let p(o) = -o**3 + 6*o**2 + 1. Let z be p(6). Let y(q) = 3*q**4 + 3*q**3 + q**2 + q - 4. Let l(x) = z*y(x) + 4*u(x). Factor l(i).
-i*(i - 1)**3
Let y = 99/2 + -49. Let b(v) be the first derivative of -56/5*v**5 + 13*v**3 + 2*v + 17/2*v**2 - 2 - y*v**4. Let b(l) = 0. Calculate l.
-1/2, -2/7, -1/4, 1
Let z(m) be the second derivative of -m**6/6 - m**5/4 + 5*m**4/6 + 6*m. Solve z(t) = 0.
-2, 0, 1
Let a(x) be the second derivative of -3*x**7/14 + 4*x**6/5 - 9*x**5/20 - x**4/2 + x. Find n such that a(n) = 0.
-1/3, 0, 1, 2
Let m be (1/3)/(2 - (-4)/(-3)). Let q(h) be the first derivative of 0*h + 0*h**2 - 2/3*h**3 - 2 + m*h**4. Find o such that q(o) = 0.
0, 1
Let h(p) = p**2 + p. Let u(c) = 4*c**2 - 96*c - 676. Let y(n) = 8*h(n) - u(n). Factor y(x).
4*(x + 13)**2
Suppose -5*h + 4*h = -2. Factor 0*o**2 - o + o**h + 3 - 3.
o*(o - 1)
Let s be (-165)/66*3/(-5). Factor s*f + 0 - 3/2*f**2.
-3*f*(f - 1)/2
Let k be ((-1)/(-3))/(9/81). Let -4/9*z**2 + 2/9*z**k + 2/9*z + 0 = 0. Calculate z.
0, 1
Let o be -2*((-400)/1575 + 1/9). Let -2/7*i**4 + 4/7*i**3 - 4/7*i + o + 0*i**2 = 0. Calculate i.
-1, 1
Let q(p) be the first derivative of -4/3*p**3 + 0*p - 1 - 1/2*p**4 - p**2. Determine u, given that q(u) = 0.
-1, 0
Let m(o) be the second derivative of -o**5/480 - o**4/32 - 3*o**3/16 + 3*o**2/2 - 4*o. Let j(k) be the first derivative of m(k). Solve j(b) = 0 for b.
-3
Let d(s) be the second derivative of 0 + 0*s**4 + 0*s**2 + 1/105*s**6 + 0*s**3 + 5*s - 1/35*s**5. Let d(g) = 0. What is g?
0, 2
Let m(d) be the third derivative of 0*d**4 + 1/6*d**3 + 2*d**2 + 0 - 1/60*d**5 + 0*d. Factor m(l).
-(l - 1)*(l + 1)
Let l(o) be the first derivative of o**6/50 - o**4/20 + 6*o - 7. Let d(v) be the first derivative of l(v). Suppose d(q) = 0. What is q?
-1, 0, 1
Let q be (-12)/(-4) + 2 - 1. Let i(d) be the second derivative of 0 + 8/3*d**q - 2*d + 8/3*d**3 + d**2. Factor i(t).
2*(4*t + 1)**2
Let i(p) be the first derivative of 4*p**5/5 - p**4 + 9. Factor i(v).
4*v**3*(v - 1)
Let t be (-5 + 0)*(216/45)/(-12). Factor 0 - 3/5*v + 3/5*v**t.
3*v*(v - 1)/5
Factor -1/5 - 4/5*w**2 + 4/5*w.
-(2*w - 1)**2/5
Factor -1/2*n**5 + 0 + n**4 - n**2 + 1/2*n + 0*n**3.
-n*(n - 1)**3*(n + 1)/2
Let q be (-6 - (-3 - -1))/(-2). Let i be ((-5)/(-35))/(4/8). Factor 0 - 2/7*n**3 - i*n - 4/7*n**q.
-2*n*(n + 1)**2/7
Let q(o) = -o**3 - 2*o + 3. Let t(r) = -7*r**2 + 4 - r**3 - 2*r**2 - 3*r + 9*r**2. Let l(w) = 4*q(w) - 3*t(w). Factor l(u).
-u*(u - 1)*(u + 1)
Find d such that 16/5*d**2 + 4/5*d**3 - 4/5*d - 16/5 = 0.
-4, -1, 1
Let s(t) = t**2 - 3*t - 6. Let p be s(5). Let u(q) = -q**3 - 7*q**2 - 8*q - 7. Let r be u(-6). Factor 2/7*g + 0*g**p - 4/7*g**3 + 0*g**2 + 0 + 2/7*g**r.
2*g*(g - 1)**2*(g + 1)**2/7
Let t(j) be the third derivative of 0 - 1/18*j**4 - 1/30*j**5 - j**2 - 1/180*j**6 + 0*j**3 + 0*j. Find g such that t(g) = 0.
-2, -1, 0
Let u(w) be the first derivative of 4*w**3/3 + 12*w**2 + 20*w - 8. Find q, given that u(q) = 0.
-5, -1
Let o(k) be the second derivative of -5*k + 7/6*k**4 + 1/10*k**5 + 0 + 9*k**2 + 5*k**3. Factor o(w).
2*(w + 1)*(w + 3)**2
Factor -2/7*l**3 - 2/7 - 6/7*l**2 -