l(m).
-4*m*(m - 2)**2
Let t be (-2)/3*6/(-12). Find o, given that 1/3*o**5 + 0*o + 1/3*o**4 + 0 - 1/3*o**2 - t*o**3 = 0.
-1, 0, 1
Let h(t) be the third derivative of t**8/784 + t**7/490 - 3*t**6/280 - t**5/28 - t**4/28 + 8*t**2. Find o such that h(o) = 0.
-1, 0, 2
Factor -2/7*u**4 + 0*u**2 - 1/7*u**3 + 0*u - 1/7*u**5 + 0.
-u**3*(u + 1)**2/7
Let p be (-59)/(-15) - (-1)/(-3). Let a = -31/10 + p. Factor 1/4*f**3 + 1/4*f + a*f**2 + 0.
f*(f + 1)**2/4
Let b(o) be the second derivative of o**5/30 + 5*o**4/18 + 8*o**3/9 + 4*o**2/3 - 3*o. Let b(u) = 0. What is u?
-2, -1
Let s(o) be the third derivative of o**6/210 - o**5/105 - o**4/7 - 10*o**2 - o. Factor s(i).
4*i*(i - 3)*(i + 2)/7
Suppose -15*q = -20*q + 50. Let r be 2*-1 + 4/2. Factor r*n**2 + 3*n**2 - 4*n + 3 + q*n.
3*(n + 1)**2
Let b = -10 + 31/3. Factor b*h**3 - 1/3*h**5 + 0 + 0*h - 1/3*h**4 + 1/3*h**2.
-h**2*(h - 1)*(h + 1)**2/3
Factor 0*c - 2/19*c**3 + 0 - 8/19*c**2.
-2*c**2*(c + 4)/19
Let o(g) be the third derivative of -g**7/840 + g**5/120 - g**3/24 + 6*g**2. Suppose o(f) = 0. What is f?
-1, 1
Let 0 - 16/5*m**2 - 8/5*m - 2/5*m**4 - 2*m**3 = 0. What is m?
-2, -1, 0
What is d in 9*d - 2*d**3 - 29*d + 49*d**4 + 4 - 3*d**2 + 72*d**3 = 0?
-1, 2/7
What is z in -4/9*z - 4/9*z**2 + 0 + 1/9*z**4 + 1/9*z**3 = 0?
-2, -1, 0, 2
Suppose 0 = -2*l - 5*a + 21, 3*l + 2*l + 2*a = 21. Factor -1/3*p**4 + 0*p - 2/3*p**l + 0 - 1/3*p**2.
-p**2*(p + 1)**2/3
Let z(y) be the third derivative of y**5/90 - y**4/27 + y**3/27 + 14*y**2. Determine c so that z(c) = 0.
1/3, 1
Factor 12*u**3 - 5*u**2 - 2*u - 17*u**3 + 2*u.
-5*u**2*(u + 1)
Let v = 29/4 - 43/6. Let f(u) be the first derivative of 0*u**2 + 4 + 0*u - 1/16*u**4 + v*u**3. Determine x so that f(x) = 0.
0, 1
Suppose 5*d**5 - 5*d**3 - 5*d**2 + 8*d**4 - 3*d**4 + 0*d**3 = 0. Calculate d.
-1, 0, 1
Factor -5*o**2 + 0*o**2 + 3*o**2 - 7 - 8*o - 1.
-2*(o + 2)**2
Let j(d) be the second derivative of -d**7/210 + d**5/15 + 4*d**2 + 8*d. Let k(m) be the first derivative of j(m). Let k(u) = 0. Calculate u.
-2, 0, 2
Let z(t) be the third derivative of 8/3*t**3 + 49/15*t**7 + 637/60*t**6 + 63/5*t**5 + 6*t**2 + 0 + 23/3*t**4 + 0*t. Find c, given that z(c) = 0.
-1, -2/7
Let w(v) be the first derivative of v**7/630 + v**6/108 + v**5/45 + v**4/36 - v**3/3 - 2. Let s(b) be the third derivative of w(b). Factor s(l).
2*(l + 1)**2*(2*l + 1)/3
Suppose 5*y + 3 = -2*w + 21, -4*y = 2*w - 16. Suppose 0 = -5*x + 2*h, 0*h = 3*x + w*h. Determine q so that x + 0*q + 0*q**4 + 0*q**2 - 1/3*q**5 + 1/3*q**3 = 0.
-1, 0, 1
Let t(q) be the third derivative of -2*q**2 - 1/2*q**4 + 1/20*q**5 + 3/2*q**3 + 0*q + 0. What is g in t(g) = 0?
1, 3
Determine s so that 18 + 4*s + 11*s**3 + s**3 - 4*s**4 - 12*s**2 - 18 = 0.
0, 1
Let l(w) = -w**5 - w**4 - w. Let b(g) = 4*g**5 - 2*g**3 + 2*g**2 + 2*g. Let p(a) = b(a) + 2*l(a). Let p(m) = 0. Calculate m.
-1, 0, 1
Let n(v) be the first derivative of v**5/5 + 3*v**4/2 + 3*v**3 - 2*v**2 - 12*v - 1. Factor n(y).
(y - 1)*(y + 2)**2*(y + 3)
Determine b, given that -104*b - 44*b**2 - 18 - 116*b**2 - 88*b**3 - 12*b**4 - 2 = 0.
-5, -1, -1/3
Suppose -3 = 4*o - 15. Suppose l**2 + l**5 - 2*l**2 + 3*l**4 - l**o - 3*l**4 + l**4 = 0. What is l?
-1, 0, 1
Let l be (-18)/(-48) - (-2)/(-176). Factor -2/11*p**2 - l*p - 2/11.
-2*(p + 1)**2/11
Let t(a) be the first derivative of -a**6/15 - a**5/10 - 3*a - 4. Let y(v) be the first derivative of t(v). Suppose y(q) = 0. Calculate q.
-1, 0
Determine w, given that -24*w + 9*w**3 + 20 - 2*w**2 - w**2 - 32 = 0.
-1, -2/3, 2
Factor -10*q**4 + 50*q**2 - 2*q**3 - 23*q**3 - 60*q**2.
-5*q**2*(q + 2)*(2*q + 1)
Let w(d) = -d**2 - 9*d - 10. Let s be w(-7). Let m(z) be the first derivative of -1/2*z**s + 4/3*z**3 - 1 - z**2 + 0*z. Factor m(a).
-2*a*(a - 1)**2
Factor -3*a**2 + 0*a + 0 + 3/2*a**3.
3*a**2*(a - 2)/2
Let s(k) be the third derivative of 0*k + 4/105*k**7 + 6*k**2 - 1/20*k**6 - 1/168*k**8 - 2/15*k**5 + 1/3*k**4 + 0 + 0*k**3. Solve s(d) = 0 for d.
-1, 0, 1, 2
Suppose -3*z = -5*r + 17, -4*z - 2*r = -2*z + 6. Let g = z + 4. Factor -1/2*v + 3/2*v**3 - v**2 + g.
v*(v - 1)*(3*v + 1)/2
Let o = 8 + -6. Solve 1 - 6*m**o + 2*m**5 + 21*m**4 - 7*m**5 - 2*m**5 - 2*m**5 + 3*m - 10*m**3 = 0.
-1/3, 1
Let k be 4/(-14) + 266/(-98). Let s(u) = -u**2 + 1. Let w(n) = 3*n**4 + 18*n**3 + 36*n**2 + 36*n + 15. Let r(x) = k*s(x) + w(x). Solve r(v) = 0 for v.
-2, -1
Let t(o) be the first derivative of -2*o**7/21 + 2*o**6/15 - 2*o - 1. Let c(n) be the first derivative of t(n). What is k in c(k) = 0?
0, 1
Suppose 2*v - 8 = 4*a - 2*v, -2*a = -3*v + 3. Let c be (3/(-7))/(a/4). Let -2/7*o**2 - c*o**3 - 2/7*o**4 + 0*o + 0 = 0. Calculate o.
-1, 0
Let l(m) be the first derivative of -3*m**4/4 - 2*m**3 - 3*m**2/2 - 4. Factor l(k).
-3*k*(k + 1)**2
Let z(o) be the second derivative of 0 + 1/2*o**2 + 0*o**3 + 2*o - 1/12*o**4. Determine v, given that z(v) = 0.
-1, 1
Let t(l) = -l - 4. Let j be t(-8). Let o be ((-10)/j)/(3/(-6)). Let -1/2*z**4 - 1/4*z**o + z**2 + 1/2*z**3 - 1/4*z - 1/2 = 0. Calculate z.
-2, -1, 1
Determine l so that -4/7*l**2 - 24/7*l + 64/7 = 0.
-8, 2
Let k be 3 + 4/(8/(-6)). Find v, given that 5*v**3 - 6*v**2 + k - 3*v - 4*v**3 + 6 + 2*v**3 = 0.
-1, 1, 2
Let g = 18 - 15. Let d = 2108/7 + -300. Factor 2/7*v**5 + d*v**g + 8/7*v**4 - 10/7*v - 4/7 - 4/7*v**2.
2*(v - 1)*(v + 1)**3*(v + 2)/7
Let y(x) = -x - 4. Suppose -m - 2*b = 1, -4*m - 20 = m + 5*b. Let f be y(m). Find r, given that -14/13*r**2 + 18/13*r**4 + 22/13*r - 4/13 - 22/13*r**f = 0.
-1, 2/9, 1
Let l(i) = 2*i**2 + 2*i - 1. Let w be l(1). Let k be (-18)/w*1/(-33). Factor 2/11*b**4 - 4/11*b**3 + k*b**2 + 0 + 0*b.
2*b**2*(b - 1)**2/11
What is n in 1/4*n**2 + 0 + 1/2*n = 0?
-2, 0
Let p(f) be the first derivative of 3*f**4/5 + 9*f**3/5 - 3*f**2 - 9*f/5 + 28. Solve p(q) = 0 for q.
-3, -1/4, 1
Let w(m) be the second derivative of m**5/2 - 55*m**4/12 - 5*m**3 + 53*m. Determine j, given that w(j) = 0.
-1/2, 0, 6
Let y(v) be the first derivative of -6/5*v**5 - 2*v**3 + 1 + 12*v**2 + 8*v - 5*v**4. What is j in y(j) = 0?
-2, -1/3, 1
Let k(w) be the first derivative of -w**6/90 + w**5/30 - w**4/36 + 2*w - 1. Let b(x) be the first derivative of k(x). Factor b(s).
-s**2*(s - 1)**2/3
Factor -8/3*h - 2/3*h**2 - 8/3.
-2*(h + 2)**2/3
Suppose -33 = -14*p + 51. Factor 2/3*z**2 + p + 4*z.
2*(z + 3)**2/3
Let u be 2*75/(-6) + 2. Let i be -3 - u/14*2. Factor 4/7*c - 4/7*c**3 + 0 + i*c**4 - 2/7*c**2.
2*c*(c - 2)*(c - 1)*(c + 1)/7
Let u(i) be the third derivative of i**7/420 - i**6/36 + 7*i**5/60 - i**4/4 + 5*i**3/6 - 2*i**2. Let t(v) be the first derivative of u(v). Factor t(z).
2*(z - 3)*(z - 1)**2
Suppose 0 = 466*c - 464*c. Let 2/17*x**2 - 2/17*x**4 + 2/17*x**3 + c - 2/17*x = 0. What is x?
-1, 0, 1
Let i(o) = o**2 - o + 1. Let b(p) = -2*p**2 + 59*p + 238. Let d(f) = b(f) + 5*i(f). Solve d(r) = 0 for r.
-9
Let c(u) be the first derivative of -u**6/14 - 6*u**5/35 + 2*u**3/7 + 3*u**2/14 + 5. Factor c(v).
-3*v*(v - 1)*(v + 1)**3/7
Factor 1/3*z + 1/3*z**2 - 1/3*z**3 - 1/3.
-(z - 1)**2*(z + 1)/3
Let b(a) be the first derivative of a**7/2100 + a**6/300 - a**4/15 - a**3/3 + 1. Let k(p) be the third derivative of b(p). Let k(n) = 0. What is n?
-2, 1
Let c(h) be the second derivative of -h**5/30 + h**4/12 + 7*h**2/2 + 6*h. Let t(l) be the first derivative of c(l). Factor t(g).
-2*g*(g - 1)
Solve 8*v + 2 + 1 + 2*v - 4*v + 3*v**2 = 0 for v.
-1
Let z be 1/6 + 287/492. Find k such that -1/4*k**2 + 1 - z*k = 0.
-4, 1
Let 4*y - 5*y + 0*y**2 + 2*y**2 + 5*y = 0. What is y?
-2, 0
Let v = 2 + -2. Suppose 4*f - 3*r + 12 = 0, 5*f + r + 1 - 5 = v. Find t, given that f - 1/4*t - 1/4*t**2 = 0.
-1, 0
Let h(t) be the second derivative of 1/120*t**6 + 0 - 1/24*t**4 + 0*t**3 + 1/8*t**2 + 0*t**5 - 3*t. Factor h(n).
(n - 1)**2*(n + 1)**2/4
Factor 2/3*q**2 + 6 - 4*q.
2*(q - 3)**2/3
Let m(q) = q**3 + 5*q**2 + 2*q + 10. Let z(g) = -5*g. Let y be z(1). Let t be m(y). Determine i, given that 2/3*i**2 + 0 + t*i = 0.
0
Suppose 7*t**3 + 3*t + 3*t**4 - t**3 + 8*t**2 + t**2 + 3*t**3 = 0. What is t?
-1, 0
Suppose 0 = k - 2*r + 3*r - 3, 4*k - 12 = -r. Let d(p) be the third derivative of 1/30*p**5 + 1/6*p**4 + 0 + 0*p + p**2 + 1/3*p**k. Find f such that d(f) = 0.
-1
Let w(b) = 3*b**2 + 17*b - 13. Let u(a) = -2*a**2 - 9*a + 6. Let v(l) = 5*u(l) + 3*w(l). Solve v(q) = 0.
3
Let n(m