 2*i**2 - 4. Factor n(l).
l**2*(l + 1)**2*(l + 4)/6
Suppose -15*o + 15*o**3 - 3/2*o**4 - 36*o**2 + 75/2 = 0. Calculate o.
-1, 1, 5
Let a = 64 + -255/4. Let r be (6/18)/((-3)/(-18)). Solve q**4 + a*q**5 + q**r + 1/4*q + 3/2*q**3 + 0 = 0 for q.
-1, 0
Let h(i) be the second derivative of i**4/10 + i**3/3 - 10*i + 10. Factor h(w).
2*w*(3*w + 5)/5
Let v(w) = 2*w**2 + 6*w - 8. Let t(g) = -g**2 - 3*g + 4. Let b(q) = 9*q + 4. Let h be b(-1). Let i(j) = h*t(j) - 2*v(j). Let i(o) = 0. What is o?
-4, 1
Let j be (-6)/(-39) - (-15)/156. Let l(d) be the second derivative of 1/48*d**4 + 0 + j*d**3 + 9/8*d**2 - 2*d. Determine w, given that l(w) = 0.
-3
Let k(i) be the third derivative of -i**6/240 + i**5/15 - i**4/3 - 2*i**2 - 51*i. Find j, given that k(j) = 0.
0, 4
Let q(s) be the second derivative of s**7/42 - s**6/30 - 3*s**5/20 + s**4/12 + s**3/3 - 116*s. Factor q(x).
x*(x - 2)*(x - 1)*(x + 1)**2
Let m(x) = -x**2 - x - 1. Let s(v) = 2*v**4 - 6*v**3 - 22*v**2 - 14*v - 22. Let y(a) = -44*m(a) + 2*s(a). Suppose y(h) = 0. What is h?
-1, 0, 2
Let h(d) be the first derivative of -d**7/315 + d**6/90 - d**4/18 + d**3/9 - 5*d**2/2 + 7. Let z(m) be the second derivative of h(m). What is t in z(t) = 0?
-1, 1
Let j(w) be the third derivative of w**6/40 + 3*w**5/20 - 9*w**4/8 + 5*w**3/2 - 2*w**2 + 30*w. Factor j(o).
3*(o - 1)**2*(o + 5)
Let q = 1252/501 - -28/167. Factor -1/3*a**2 - 16/3 - q*a.
-(a + 4)**2/3
Find r such that -11*r**3 - 11*r**2 + r**2 - 6*r + 6*r**3 + r = 0.
-1, 0
Find d, given that -212*d**3 + 5*d**2 - 12*d**4 + 214*d**3 - d**2 + 4*d**4 + 6*d**4 = 0.
-1, 0, 2
Let t(d) be the third derivative of 0 - 1/3*d**4 + 3/2*d**3 + d**2 + 1/45*d**6 + 0*d - 1/10*d**5. Let p(r) be the first derivative of t(r). Factor p(l).
4*(l - 2)*(2*l + 1)
Let m(v) be the first derivative of 2/27*v**3 + 1/9*v**2 - 4/9*v - 4. Find c such that m(c) = 0.
-2, 1
Let y be (-36 - -9)/(-3) - (-245)/56*-2. Factor -1/4*b + 9/4 - 9/4*b**2 + y*b**3.
(b - 9)*(b - 1)*(b + 1)/4
Let y(q) be the first derivative of -q**8/2520 + q**7/1260 + q**6/540 - q**5/180 + 5*q**3/3 - 12. Let f(v) be the third derivative of y(v). Factor f(w).
-2*w*(w - 1)**2*(w + 1)/3
Suppose -9*f - 10*f = -0*f - 38. Factor 0 + 5/6*b**4 + 0*b - 5/6*b**3 + 0*b**f.
5*b**3*(b - 1)/6
Let o(y) be the first derivative of y**6/160 - y**5/10 + 7*y**4/32 + 39*y**2/2 + 11. Let j(a) be the second derivative of o(a). Suppose j(s) = 0. Calculate s.
0, 1, 7
Let x = -33946/9 - -3772. Factor -4/9*a**2 - 2/3*a + 4/9*a**3 + 2/9*a**5 + 2/3*a**4 - x.
2*(a - 1)*(a + 1)**4/9
Let b be 9/(-15)*40/(-84). Suppose 0 + b*s**2 - 2/7*s = 0. What is s?
0, 1
Let j be 198/405 - 20/(-45). Determine y so that 6/5*y**3 + 2/15*y**5 - 2/3*y**4 + 4/15*y - j*y**2 + 0 = 0.
0, 1, 2
Let t(o) be the second derivative of -o**8/30240 + o**7/2835 + o**6/3240 - o**5/135 + 7*o**4/12 + 18*o. Let x(f) be the third derivative of t(f). Factor x(m).
-2*(m - 4)*(m - 1)*(m + 1)/9
Factor 106*k**2 + 102*k**2 + 14*k - 210*k**2.
-2*k*(k - 7)
Suppose d + 0*d - 2 = 0. Suppose -8*s + 5*s**4 + 0*s**5 - 2*s**4 + 2*s - 9*s**3 - 15*s**d + 3*s**5 = 0. What is s?
-1, 0, 2
Suppose 143*a - 299*a + 132*a - 10*a**2 + 2*a**3 + 72 = 0. What is a?
-3, 2, 6
Let c(k) be the second derivative of -1/20*k**5 + 0 - 19*k + 1/6*k**4 + 2/3*k**3 - 4*k**2. Find t, given that c(t) = 0.
-2, 2
Factor -10*a**4 + 10/3*a**3 + 100/3*a**2 + 5/3*a**5 + 50/3 - 45*a.
5*(a - 5)*(a - 1)**3*(a + 2)/3
Let f(s) = 2*s**2 + 9*s + 21. Let j = 4 + -2. Suppose r - 6 = j*r. Let k(u) = -2*u**2 - 10*u - 20. Let v(d) = r*k(d) - 4*f(d). Factor v(t).
4*(t + 3)**2
Let o(g) be the first derivative of -2*g**6/5 - 224*g**5/25 + 153*g**4/5 + 152*g**3/5 - 104*g**2 - 672*g/5 - 427. What is w in o(w) = 0?
-21, -1, -2/3, 2
Let p(f) be the second derivative of f**4/6 - 34*f**3 + 2601*f**2 - 5*f + 50. Suppose p(g) = 0. Calculate g.
51
Determine l so that 1/3*l**2 - 10*l - 31/3 = 0.
-1, 31
Find k such that 72/13*k**4 + 456/13*k**3 + 228/13*k + 794/13*k**2 + 18/13 = 0.
-3, -1/6
Let t(s) = 3*s**2 - 12*s + 9. Let o(a) = 9*a**2 - 35*a + 26. Suppose 0 = 4*z - 5*z - 3. Let x(i) = z*o(i) + 8*t(i). Factor x(n).
-3*(n - 2)*(n - 1)
Factor -9/4 + 87/8*c - 27/8*c**2.
-3*(c - 3)*(9*c - 2)/8
Find o such that -28/5 - 4/5*o**3 - 1/5*o**4 - 4/5*o + 21/5*o**2 = 0.
-7, -1, 2
Let d(u) be the third derivative of -u**5/270 + 11*u**4/108 + 267*u**2. What is b in d(b) = 0?
0, 11
Solve -2/3*a**3 + 28/3*a**2 - 22/3*a - 52/3 = 0.
-1, 2, 13
Let y(g) = g**3 - 3*g**2 - 9*g - 15. Let q be y(-4). Let p = q + 95. Suppose 1/3*n**p + 2/3*n + 5/3*n**2 + 4/3*n**3 + 0 = 0. What is n?
-2, -1, 0
Let o(a) be the first derivative of 0*a**4 - 9 + a**5 - 5/3*a**3 + 0*a + 0*a**2. Determine w, given that o(w) = 0.
-1, 0, 1
Let t be 6/10*(12/(-2) - -11). Let q(c) be the second derivative of 0 + 0*c**2 - 3/70*c**5 + 4/21*c**t + 0*c**4 - 1/105*c**6 + 3*c. Factor q(x).
-2*x*(x - 1)*(x + 2)**2/7
Let z(b) be the first derivative of -b**6/45 + 2*b**5/25 - b**4/10 + 2*b**3/45 - 20. Factor z(r).
-2*r**2*(r - 1)**3/15
Let v(a) = a**3 - 10*a**2 + 17*a - 4. Let s be v(8). Suppose 9*m**2 - 2*m**3 - 3*m + 9*m + s*m**3 + m**3 = 0. Calculate m.
-2, -1, 0
Suppose -5*w + 12 + 8 = 0. Factor t**w + 0*t**4 + 9*t**2 + 4*t**3 - 4*t**2 - t**2.
t**2*(t + 2)**2
Let o(c) be the third derivative of c**6/24 - 3*c**5/4 + 5*c**4 - 40*c**3/3 + 23*c**2. Find y such that o(y) = 0.
1, 4
Let x(q) be the second derivative of -3*q + 17/27*q**3 + 7/54*q**4 - 1/90*q**5 - 5 + q**2. Factor x(w).
-2*(w - 9)*(w + 1)**2/9
Let k be ((-9)/(-6))/(24/64). Let 15*i**k - 6*i**2 - 5*i**5 - 8*i**3 - 7*i**3 + 11*i**2 = 0. Calculate i.
0, 1
Let m(a) be the third derivative of a**5/120 - 47*a**4/48 + 23*a**3/6 - a**2 - 31*a. Suppose m(l) = 0. What is l?
1, 46
Let n(i) be the second derivative of -2*i**7/21 - 4*i**6/15 + 2*i**5/5 + 8*i**4/3 + 14*i**3/3 + 4*i**2 + 4*i + 1. Determine o so that n(o) = 0.
-1, 2
Let m be (-14)/(56/44) - -11. Factor m*t**4 + 0*t**2 - 1/4*t**3 + 0 + 0*t + 1/4*t**5.
t**3*(t - 1)*(t + 1)/4
Let h(m) be the second derivative of m**6/480 + m**5/80 - 3*m**4/32 + 11*m**3/6 + 17*m. Let f(u) be the second derivative of h(u). Let f(d) = 0. What is d?
-3, 1
What is u in -10*u**2 + 8 - 19*u**2 - 28*u**2 + 55*u**2 = 0?
-2, 2
Let s(z) be the third derivative of -z**6/300 + 17*z**5/150 + 3*z**4/10 - 207*z**2. Determine o, given that s(o) = 0.
-1, 0, 18
Determine l so that 5*l**3 + 69*l + 24*l**2 + 16*l**2 + 29*l**2 + 101*l + 26*l**2 = 0.
-17, -2, 0
Suppose -60 = -5*m - 5*m. Suppose -q = -5*q + 8. Find p such that m*p**2 + q*p**3 - 4*p - 3*p**3 + p**2 - 11*p**2 = 0.
-2, 0
Let u(i) = 12*i**3 - i**2 - 190*i + 117. Let v(c) = 23*c**3 - 4*c**2 - 380*c + 233. Let r(a) = 7*u(a) - 3*v(a). What is y in r(y) = 0?
-4, 2/3, 3
Let r be 4/(-26) - 200/52. Let c be (r/5)/((-3)/(60/8)). Factor 1/5*z**3 + 1/5 - 1/5*z - 1/5*z**c.
(z - 1)**2*(z + 1)/5
Let k = 25703/28092 - -4/2341. Find u such that -5/6*u**2 - 3/4*u**5 - 1/6 - k*u + u**4 + 5/3*u**3 = 0.
-1, -1/3, 1, 2
Solve -256*d**2 - 37*d**3 + 124*d**3 + 61*d**3 - d**5 - 40*d**4 - 64 + 208*d + 5*d**5 = 0.
1, 2, 4
Let c be 14968/10*((-7)/4)/(-7). Let b = c - 373. Determine u so that 27/5*u**2 + b*u**3 + 12/5 + 36/5*u = 0.
-2, -1/2
Let d be ((-96)/(-44))/(-2)*(-44)/56. Solve -3/7*z**2 - 3/7*z + d = 0 for z.
-2, 1
Let m(b) = -23*b**2 - 144*b + 1296. Let u(t) = 5*t**2 + 36*t - 324. Let n(d) = -4*m(d) - 18*u(d). Factor n(j).
2*(j - 18)**2
Let c be 110/(-165)*(-90)/28. Factor 30/7*f**3 - 30/7*f**2 + 3/7*f**5 - 3/7 + c*f - 15/7*f**4.
3*(f - 1)**5/7
Let r be (15/2)/15*(-8)/(-2). Let v(k) be the second derivative of k + 0*k**3 - 1/36*k**4 + 1/6*k**r + 0. Factor v(y).
-(y - 1)*(y + 1)/3
Let a(g) be the second derivative of -g**4/21 + 6*g**3/7 + 324*g**2/7 - 13*g + 36. Let a(b) = 0. Calculate b.
-9, 18
Let n(w) be the second derivative of -8*w + 2/5*w**5 - 2/15*w**6 + 0*w**4 + 0 - 4/3*w**3 + 2*w**2. Find r, given that n(r) = 0.
-1, 1
Suppose 3*m - 7*m = -16. Factor 11*t - 30*t + 10*t + m*t - 5*t**2.
-5*t*(t + 1)
Let n(b) be the third derivative of 0*b**5 + 0*b**3 + 0 + 0*b**4 + 1/546*b**8 + 0*b - 14*b**2 + 0*b**6 - 1/1365*b**7. Factor n(a).
2*a**4*(4*a - 1)/13
Suppose -554 = -5*k - 3*h + 272, -4*h - 346 = -2*k. Let j(u) = -167*u + k*u - 6*u**2. Let t(m) = -5*m**2 - m. Let g(p) = -2*j(p) + 3*t(p). Factor g(s).
-