) be the first derivative of t(j). Factor s(b).
(b + 1)*(3*b - 1)
Let y(t) = 2*t**3 - 13*t**2 + 10*t - 9. Let i(r) = r**3 - 6*r**2 + 5*r - 4. Let m(x) = 5*i(x) - 2*y(x). Determine c so that m(c) = 0.
1, 2
Let r = -14 - -14. Let v(n) be the third derivative of 0 + r*n**3 - n**2 + 1/240*n**5 + 1/96*n**4 + 0*n. Solve v(s) = 0 for s.
-1, 0
Suppose 6*w**3 - 7*w + 114*w**4 - 117*w**4 + w + 3*w**2 = 0. Calculate w.
-1, 0, 1, 2
Let o(x) = -4*x + 3*x + 2*x + 2. Let y be o(5). Let -3*u**5 + 4*u - y*u**5 + 6*u**3 - 3*u**4 - 11*u**4 + 14*u**2 = 0. What is u?
-1, -2/5, 0, 1
Let n be (18/15)/(3/(75/20)). Let q(j) be the first derivative of 9/2*j**4 - 4 + n*j**2 + 0*j + 12/5*j**5 + 4*j**3 + 1/2*j**6. Factor q(p).
3*p*(p + 1)**4
Let l(w) be the second derivative of w**4/48 + w**3/24 - 10*w. Find x, given that l(x) = 0.
-1, 0
Let a(b) = -b - 1. Let d(o) = -o**3 + 12*o + 7. Let s(z) = -18*a(z) - 2*d(z). Suppose s(i) = 0. What is i?
-2, 1
Let z be 9/(-4) + 11 + (-2 - 6). Let o = 38 - 73/2. Factor -3/2 - z*q**3 + o*q**2 + 3/4*q.
-3*(q - 2)*(q - 1)*(q + 1)/4
Suppose -3*o = -t - 14, 5*o - 4*t - 28 = -0*o. Let w(g) be the first derivative of 2*g - g**o + 2*g**2 + 6/5*g**5 - 2 - 8/3*g**3. Factor w(m).
2*(m - 1)**2*(m + 1)*(3*m + 1)
Let l(k) = -21*k + 171. Let i be l(8). Factor u**2 + 0*u + 0 - 1/2*u**i - 1/2*u**4.
-u**2*(u - 1)*(u + 2)/2
Let d(f) be the second derivative of -f**7/8820 - f**6/1260 + f**4/4 + 4*f. Let s(a) be the third derivative of d(a). Determine v so that s(v) = 0.
-2, 0
Let y(t) be the third derivative of -t**7/1680 - t**6/960 + t**5/480 + t**4/192 - 4*t**2. Suppose y(z) = 0. Calculate z.
-1, 0, 1
Let z(n) be the second derivative of n**8/2520 - n**7/1260 - n**6/270 - n**3/3 - 7*n. Let d(s) be the second derivative of z(s). Solve d(x) = 0 for x.
-1, 0, 2
Let f(b) be the first derivative of -160*b**6/3 + 352*b**5/5 + 123*b**4 + 160*b**3/3 + 8*b**2 - 38. Determine d, given that f(d) = 0.
-2/5, -1/4, 0, 2
Let i(v) be the third derivative of -v**5/30 + 5*v**4/2 - 75*v**3 - 14*v**2. Find g such that i(g) = 0.
15
Suppose 0 = 5*o - 4*o. Let q(n) be the second derivative of 1/3*n**4 - n + 1/10*n**5 + 1/3*n**3 + o*n**2 + 0. Factor q(s).
2*s*(s + 1)**2
Find n such that 57/4*n**3 + 51/2*n**2 + 3*n - 18 + 9/4*n**4 = 0.
-3, -2, 2/3
Solve 0*g + 2/19*g**4 + 2/19*g**3 - 4/19*g**2 + 0 = 0 for g.
-2, 0, 1
Let i = -2 - -5. Factor 2*n**2 + 0*n**2 - n**i + 0*n**3.
-n**2*(n - 2)
Let a be 2/12*5679/6. Let g = a - 157. Factor -g*m - m**2 + 1/4.
-(m + 1)*(4*m - 1)/4
Let i(s) be the second derivative of s + 0 + 1/21*s**3 + 1/42*s**4 - 1/2*s**2 + 1/210*s**5. Let u(l) be the first derivative of i(l). Factor u(j).
2*(j + 1)**2/7
Let g(s) be the first derivative of -2*s**3/15 - 2*s**2/5 - 14. Determine h so that g(h) = 0.
-2, 0
Let m(x) = 3*x**3 - 24*x**2 + 30*x - 12. Let v(q) = -3*q**3 + 25*q**2 - 29*q + 11. Let i(h) = -4*m(h) - 3*v(h). Factor i(r).
-3*(r - 5)*(r - 1)**2
Let f(p) = -p - 3. Let h be f(-6). Let g(s) be the first derivative of 1 - 1/5*s**2 + 2/15*s**h + 0*s. Factor g(n).
2*n*(n - 1)/5
Let s(w) be the third derivative of 1/8*w**4 + 0*w + 0*w**3 + 9*w**2 + 0 - 1/120*w**6 - 1/30*w**5. Determine u, given that s(u) = 0.
-3, 0, 1
Let c(d) = 4 - d + 11*d + 8*d**2 + 2 + 5. Let t(x) = -x**2 - x - 1. Let k(b) = 2*c(b) + 18*t(b). Factor k(l).
-2*(l - 2)*(l + 1)
Find b, given that 0*b**3 + 3*b**3 + 28*b**2 - 22*b**2 - 6*b**4 - 3*b**5 = 0.
-2, -1, 0, 1
Let y = -3 + -12. Let f be ((-4)/y)/((-1)/(-5)). Solve 0 - 14/3*x**3 + 16/3*x**4 + f*x**2 + 0*x - 2*x**5 = 0 for x.
0, 2/3, 1
Let l(c) be the second derivative of -c**5/5 - 5*c**4/3 - 4*c**3/3 + 16*c**2 - 19*c. Factor l(n).
-4*(n - 1)*(n + 2)*(n + 4)
Let r(f) = -f**2 - 5*f + 3. Let k be r(-5). Factor -j**k + 3*j**3 + 0*j**2 + j**2 + j**4.
j**2*(j + 1)**2
Let y(u) = 21*u + 45. Let j(m) = m**2 + 22*m + 46. Let z(t) = -3*j(t) + 2*y(t). Solve z(s) = 0.
-4
Let a be -11 - (-5 + 1 + 0). Let g be (-5)/a*(-4)/(-10). Suppose 2/7 - 4/7*z + g*z**2 = 0. What is z?
1
Suppose 5*g - 31 = -16. Determine i so that 1/4*i**2 + 0*i + 0 - 1/4*i**g = 0.
0, 1
Let h be 100/125 - (-2)/(-5). Factor -2/5 + h*w**2 + 2/5*w - 2/5*w**3.
-2*(w - 1)**2*(w + 1)/5
Let o(a) = -8*a**2 + 6*a - 4. Let h(b) = -b**3 - 3*b**2 + b**2 + b**2 - 1. Let p = 0 - 1. Let y(t) = p*o(t) + 2*h(t). Let y(k) = 0. What is k?
1
Let a = 7211/330 - 240/11. Let v(i) be the third derivative of 2*i**2 + a*i**5 + 0 - 1/12*i**4 + 0*i**3 + 0*i. Determine r, given that v(r) = 0.
0, 1
Let g = 847 + -1258. Let r = g - -4529/11. Factor -2/11 + 4/11*s**3 + r*s - 10/11*s**2.
2*(s - 1)**2*(2*s - 1)/11
Let v be 4/(8/(-12)*3). Let g be (-7)/((-49)/v)*-3. Factor -2/7 - 4/7*j**2 + g*j.
-2*(j - 1)*(2*j - 1)/7
Find v such that 8*v**4 + 5*v - 4*v + 2 - 7*v**4 - v**3 - 3*v**2 = 0.
-1, 1, 2
Let t = -1 + 4. Solve -t*v**4 - v**5 - v**4 + v**3 - v**2 + 5*v**4 = 0 for v.
-1, 0, 1
Let a be 7/210*(1 + 0). Let f(v) be the third derivative of -2*v**2 + 0 + 0*v**3 + 0*v**4 + 1/60*v**6 + 0*v + a*v**5. Determine z so that f(z) = 0.
-1, 0
Let l(u) be the second derivative of -u**6/75 - u**5/25 + 2*u**3/15 + u**2/5 + 11*u. Factor l(x).
-2*(x - 1)*(x + 1)**3/5
Let c = 136/3 - 45. Find y such that 1/3*y**2 + 2/3*y + c = 0.
-1
Find j, given that -2/3*j**3 - j**4 + j**2 + 2/3*j + 0 = 0.
-1, -2/3, 0, 1
Let g(k) be the third derivative of k**6/80 + 11*k**5/120 + k**4/8 - 5*k**2. Solve g(z) = 0 for z.
-3, -2/3, 0
Let a(z) be the third derivative of z**9/432 + z**8/840 - z**7/120 - z**6/180 - 7*z**3/6 - 6*z**2. Let l(q) be the first derivative of a(q). Factor l(u).
u**2*(u - 1)*(u + 1)*(7*u + 2)
Let x(l) = 3*l**3 + 3*l**2 - 3*l - 3. Suppose 5 = -5*b + 35. Let y(t) = -t**3 + t. Let r(d) = b*y(d) + x(d). Factor r(v).
-3*(v - 1)**2*(v + 1)
Let i = -2 - -5. Let r(t) be the first derivative of 1/5*t**5 + 1/2*t**4 - t + 0*t**i - 2 - t**2. Factor r(h).
(h - 1)*(h + 1)**3
Let u be 0 + (-14)/(-12) - 249/(-747). Solve 3/4*w - 3/4*w**3 - u*w**2 + 3/2 = 0 for w.
-2, -1, 1
Let o = -7 - -7. Let w be (1 + o)*10/35. Determine i, given that -w*i + 2/7*i**2 + 0 = 0.
0, 1
Factor 0 + 0*m**2 - 8/3*m - 2/3*m**4 + 2*m**3.
-2*m*(m - 2)**2*(m + 1)/3
Let f(a) be the third derivative of a**6/60 - a**4/4 + 2*a**3/3 + 33*a**2. Factor f(z).
2*(z - 1)**2*(z + 2)
Let 26*c**3 + 12*c + 48*c**2 + 37*c**3 - 3*c**4 + 30*c**4 = 0. What is c?
-1, -2/3, 0
Let a(q) = q**2. Let r(b) = -b**2 - 20*b. Let d(f) = -6*a(f) - r(f). What is x in d(x) = 0?
0, 4
Let p(u) = -3 - 5*u - 3 - 4 + u**2. Let o be p(7). Factor 0*z - 6*z + 2 + 4*z**3 - 2*z**o + 2*z.
-2*(z - 1)**3*(z + 1)
Suppose f = 2*d - f + 2, d - 3 = -3*f. Factor d*o**4 + 2*o**2 - 1 + 8*o**4 - 9*o**4 + o**5 - 2*o**3 + o.
(o - 1)**3*(o + 1)**2
Let o = 23 + -15. Let n be (o/(-12))/(16/(-12)). Solve -1/2*t**2 + n + 0*t = 0.
-1, 1
Let b be (-9)/630*5*(-14)/4. Find q such that -b + 1/4*q**2 - q**3 + q = 0.
-1, 1/4, 1
Suppose 3*k - 4*k = 0. Suppose -2*u + 2*l - 4*l = -18, k = 2*l - 10. Factor 0 - 2/5*v**5 + 0*v + 2/5*v**3 + 0*v**2 + 0*v**u.
-2*v**3*(v - 1)*(v + 1)/5
Let i(n) be the second derivative of n**6/70 + 9*n**5/140 - 53*n. Factor i(l).
3*l**3*(l + 3)/7
Let -2/5*s + 2/5*s**3 + 0 + 2/5*s**2 - 2/5*s**4 = 0. What is s?
-1, 0, 1
Factor -25*t**4 + 55*t**4 + 12*t**2 + 4*t + 12*t**3 - 26*t**4.
4*t*(t + 1)**3
Let x(a) = a. Let l(n) = 5*n**2 - 16*n. Let h(v) = l(v) + 6*x(v). Factor h(i).
5*i*(i - 2)
Suppose 0 = -17*s + 13*s. Suppose s = -6*w + 8*w. Suppose 0*b**3 + 0*b**2 + w + 1/3*b**4 + 0*b + 1/3*b**5 = 0. Calculate b.
-1, 0
Suppose -2*t + 5*t = 0. Let d(b) be the second derivative of -1/45*b**6 + t - 1/6*b**4 + 0*b**2 - b - 1/9*b**3 - 1/10*b**5. Factor d(s).
-2*s*(s + 1)**3/3
Let w(y) be the first derivative of 3*y**3 - 7*y**2/2 + 5*y - 2. Let h(r) = -8*r**2 + 6*r - 4. Let c(a) = 5*h(a) + 4*w(a). Find o such that c(o) = 0.
0, 1/2
Let d(q) be the third derivative of q**8/84 - 2*q**7/105 - q**6/15 + 2*q**5/15 + q**4/6 - 2*q**3/3 - 2*q**2 + 2. Find r such that d(r) = 0.
-1, 1
Let w = -24 + 27. Let a(p) be the first derivative of -2/3*p**w + 2*p**2 + 3 - 2*p. Solve a(r) = 0.
1
Factor 3/2*o**2 + 0*o - 6*o**4 + 0 + 0*o**3.
-3*o**2*(2*o - 1)*(2*o + 1)/2
Factor -8/9 + 8/9*w - 2/9*w**3 + 2/9*w**2.
-2*(w - 2)*(w - 1)*(w + 2)/9
Let x(l) be the third derivative of -l**6/30 + l**4/6 - 8*l**2. Let x(t) = 0. Calculate t.
-1, 0, 1
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