 + 44. Factor i(u).
-(u + 1)**3*(u + 3)**2/4
Let f be ((-234)/(-91))/(6/(-8) + 0). Let h = 26/7 + f. What is x in 8/7*x**4 - 20/7*x**2 - 2/7*x**3 - h*x**5 + 16/7 + 8/7*x = 0?
-1, 2
Determine d so that 12*d**3 + 12*d**3 - 106*d**4 - 212*d**4 - 28*d**3 = 0.
-2/159, 0
Let a(d) = 2*d**2 - 260*d + 223. Let u(p) = p**2 - 174*p + 148. Let x(m) = -5*a(m) + 7*u(m). Let x(c) = 0. Calculate c.
1, 79/3
Let f be 5204 + (9/3)/(-1). Determine g so that -5*g**4 - f + 20*g + 5*g**2 + 5201 - 20*g**3 = 0.
-4, -1, 0, 1
Let w(t) be the third derivative of 1/105*t**7 - 1/30*t**4 + 3/50*t**5 + 0*t + 0*t**3 - 1/25*t**6 + 5*t**2 + 0. Find v such that w(v) = 0.
0, 2/5, 1
Let i(r) = 4*r**5 + 3*r**4 - 9*r**3 - 27*r**2 - 3*r + 3. Let y(f) = f**5 - f + 1. Let l(n) = -5*i(n) + 15*y(n). Determine j, given that l(j) = 0.
-3, 0, 3
Let z be ((-63)/6)/((-24)/16). Factor -30 - 2*d + z*d**2 - 2*d**2 - d - 2*d.
5*(d - 3)*(d + 2)
Determine c so that 157*c + 368 - 3*c**3 + 0*c**3 - 77*c + 109*c + 18*c**2 - 44 = 0.
-3, 12
Suppose -5*s + 121 = 2*u, u = 3*u + s - 133. Factor 5*a - u*a**3 - 42*a**3 - 35*a - 115*a**2 - 25*a**4.
-5*a*(a + 1)*(a + 3)*(5*a + 2)
Let p(l) = -l**2 - 4*l + 7. Let u be p(-5). Let w(a) = a**2 + 2. Let m be w(0). Suppose 2*i**2 + 2 - u*i - 1 - 2 - 3*i**m = 0. Calculate i.
-1
Let x = -92 + 92. Suppose 9 = 2*g - 4*j - 3, -2*g - 2*j + 6 = x. Solve -2/3*h**3 + 0*h + 0 + 2/3*h**g + 0*h**2 = 0 for h.
0, 1
Let h(a) = -80*a**4 - 110*a**3 + 100*a**2 + 4*a + 4. Let w(i) = 161*i**4 + 222*i**3 - 201*i**2 - 9*i - 7. Let q(r) = -7*h(r) - 4*w(r). What is d in q(d) = 0?
-2, -1/14, 0, 2/3
Suppose -120 = 214*x - 218*x. Let h be (-10)/(-12)*(2 + (-12)/x). Factor 0 - 20/3*b**3 - h*b**4 - 16/3*b - 32/3*b**2.
-4*b*(b + 1)*(b + 2)**2/3
Let p(k) be the third derivative of -k**9/756 - k**8/210 - k**7/630 + k**6/90 + k**4/12 + 9*k**2. Let l(t) be the second derivative of p(t). Solve l(h) = 0.
-1, 0, 2/5
Let x be (25*-2)/5 + 6. Let k be (-16 + 18)*(0 - 6/x). Factor 0 + 0*i - 4/13*i**2 + 6/13*i**4 - 2/13*i**k.
2*i**2*(i - 1)*(3*i + 2)/13
Let p be (6/9)/((-3)/(-18)). Let h = -1 + p. Factor 2*m**2 + 0*m**3 + 6*m**2 + m**h + 3*m**3.
4*m**2*(m + 2)
Let v(t) = t**3 + t**2 + t - 60. Let n be v(0). Let a be 1*(-3)/(-2)*(-20)/n. Solve a*l**3 - l**4 + l**2 + 1/4*l - 3/4*l**5 + 0 = 0.
-1, -1/3, 0, 1
Let m(k) be the third derivative of -1/6*k**3 + 0 - 1/120*k**5 - 27*k**2 + 0*k + 1/16*k**4. Suppose m(u) = 0. What is u?
1, 2
Let p = -406 - -410. Let q(c) be the second derivative of 5*c + 1/3*c**3 + 1/2*c**2 + 0 + 1/12*c**p. Solve q(v) = 0 for v.
-1
Let v(w) be the third derivative of -7*w**5/300 - 4*w**4/5 + 14*w**3/15 + 3*w**2 + 1. Factor v(k).
-(k + 14)*(7*k - 2)/5
Let k(p) be the third derivative of -7*p**2 + 1/42*p**4 + 0 + 1/210*p**5 - 1/7*p**3 + 0*p. Find j such that k(j) = 0.
-3, 1
Let f(x) = -26*x**2 - 9*x + 1. Let i(m) be the third derivative of 0*m**3 + 0*m - 2*m**2 + 1/8*m**4 + 0 + 3/20*m**5. Let d(o) = -6*f(o) - 17*i(o). Factor d(n).
3*(n - 1)*(n + 2)
Let l be ((0/(-1))/(-1))/1. Suppose 3*p + 8 = 5*z + 4, p + 8 = 5*z. Factor z*w - 6*w + 4 + l + w**2.
(w - 2)**2
Let j(b) be the third derivative of 19/24*b**4 - 18*b**2 + 1/3*b**3 + 0*b + 0 + 3/4*b**5 + 13/210*b**7 + 41/120*b**6. Solve j(r) = 0.
-1, -2/13
Let b(c) = c**2 + 7*c + 8. Let a be b(-1). Let r = 524/2439 + 2/271. Suppose -2/3*q**5 + 2/9*q - r - 10/9*q**4 + 4/9*q**3 + 4/3*q**a = 0. What is q?
-1, 1/3, 1
Let p = 23696 + -23696. Determine i, given that 0*i + 4/3*i**2 + p = 0.
0
Let q(c) = -c**3 - 9*c**2 + c + 2. Let s be q(-9). Let z(g) = g**3 + 8*g**2 + 6*g - 5. Let x be z(s). Factor 8/7*f + 8/7 + 2/7*f**x.
2*(f + 2)**2/7
Let k(m) = -m**3 + 6*m**2 + 2*m - 9. Let i be k(6). Let a be 2 - (0 - (i - 0)). Determine p so that -a*p**3 - p**4 - 6*p**3 + 9*p**3 = 0.
-2, 0
Let b(d) = 5*d**3 - 337*d - 13*d**2 - 2 + 0*d**3 + 347*d. Let r(f) = -f**2 + 1. Let q(h) = b(h) + 2*r(h). Find j such that q(j) = 0.
0, 1, 2
Factor -3/2*x**2 - 9*x - 27/2.
-3*(x + 3)**2/2
Solve 28/3*a**5 + 172*a**3 + 640/9*a**4 + 176/3*a + 1456/9*a**2 + 64/9 = 0 for a.
-4, -2, -1, -1/3, -2/7
Let d(w) be the first derivative of -w**5/30 + w**4/12 + 11*w**2/2 + 3. Let k(o) be the second derivative of d(o). Suppose k(i) = 0. What is i?
0, 1
Let t(c) = -36*c - 319. Let j be t(-9). Let u = 809/2 - 397. Suppose 9/2*r**j + 33/2*r**3 + r + 0 - 29/2*r**4 - u*r**2 = 0. What is r?
0, 2/9, 1
Let p(w) = -w**3 + 6*w**2 - 9*w + 8. Let d be p(4). Suppose 3*u + 3*b - d - 14 = 0, -4*u = 5*b - 27. Factor -8/13*x**2 + 2/13*x + 6/13*x**u + 0.
2*x*(x - 1)*(3*x - 1)/13
Let c(f) be the second derivative of -f**4/102 - 31*f**3/17 + 190*f**2/17 + f + 79. Factor c(p).
-2*(p - 2)*(p + 95)/17
Find b, given that 2/7*b**5 + 4/7 + 2/7*b - 4/7*b**3 + 4/7*b**4 - 8/7*b**2 = 0.
-2, -1, 1
Solve -5/7*q**3 + 0*q + 1/7*q**5 + 6/7*q**2 - 2/7*q**4 + 0 = 0.
-2, 0, 1, 3
Factor -13/10*m + 2/5 + 3/2*m**2 + 1/10*m**4 - 7/10*m**3.
(m - 4)*(m - 1)**3/10
Let d = -901/11 - -6395/77. Factor 2/7*h**2 + 8/7*h + d.
2*(h + 2)**2/7
Let p(s) be the first derivative of s**4/10 + 44*s**3/3 - 223*s**2/5 + 224*s/5 - 42. Factor p(b).
2*(b - 1)**2*(b + 112)/5
Let t(i) be the third derivative of i**6/90 - i**5/15 + 5*i**3/2 - 15*i**2. Let v(a) be the first derivative of t(a). Find p, given that v(p) = 0.
0, 2
Factor -3/7*g**2 - 1728/7 + 144/7*g.
-3*(g - 24)**2/7
Let a = 8929/72 + -124. Let n(u) be the second derivative of -1/120*u**5 + 0 - a*u**4 + 0*u**2 + 0*u**3 - 4*u. Suppose n(i) = 0. Calculate i.
-1, 0
Let n(p) be the third derivative of 0*p + 1/40*p**5 - 8*p**2 - 1/240*p**6 - 1/16*p**4 + 0 + 1/12*p**3. Let n(y) = 0. What is y?
1
Let -2/3*i**2 - 110/3*i + 112/3 = 0. What is i?
-56, 1
Let x(q) be the second derivative of -q**7/7 + 34*q**6/45 - 37*q**5/30 + 4*q**4/9 + 4*q**3/9 + 85*q. Suppose x(v) = 0. What is v?
-2/9, 0, 1, 2
Let u be 3 - (4 - (-10)/(-6)). Let v be 8/12 - ((-2)/2 - -1). Find j, given that v*j**2 - u - 1/3*j**3 + 1/3*j = 0.
-1, 1, 2
Let w(n) be the third derivative of -n**6/540 + 7*n**5/135 - 25*n**4/108 + 4*n**3/9 - 13*n**2 - 8. Factor w(l).
-2*(l - 12)*(l - 1)**2/9
Factor 3*m + 4 + 4*m - 3*m**3 + 7*m**2 - 6 - 6*m**2 + m**4 - 4*m.
(m - 2)*(m - 1)**2*(m + 1)
Let c(p) be the first derivative of 13/5*p**2 - 1/15*p**3 + 12 - 169/5*p. Suppose c(n) = 0. What is n?
13
Let b be (-6)/(-8) + 5/15. Let g = 55/36 - b. Let -g + 40/9*w**2 - 2/3*w = 0. Calculate w.
-1/4, 2/5
Let h(t) be the second derivative of -t**4/18 + t**3/9 + 2*t**2/3 + 8*t - 5. What is v in h(v) = 0?
-1, 2
Let p = -49426/3 + 16269. Let c = 207 + p. Find k such that -2/3*k**5 + 0*k**2 + 0*k**4 + 0*k + 0 + c*k**3 = 0.
-1, 0, 1
Let i(p) be the third derivative of -p**5/105 + 11*p**4/42 - 8*p**3/3 - 12*p**2 - 3*p. Factor i(o).
-4*(o - 7)*(o - 4)/7
Let g(p) be the second derivative of p**6/240 - p**5/120 - 12*p**2 + 33*p. Let l(t) be the first derivative of g(t). Let l(v) = 0. What is v?
0, 1
Let t(x) be the second derivative of 27*x**2 + 1/8*x**4 + 0 + 3*x + 3*x**3. Factor t(h).
3*(h + 6)**2/2
Let c(r) be the first derivative of -r**6/12 + r**5 - 3*r**4 - 5*r**3/3 + 25*r**2/4 - 437. Let c(g) = 0. What is g?
-1, 0, 1, 5
Factor -3*f**2 + 9/7*f + 0 + 15/7*f**3 - 3/7*f**4.
-3*f*(f - 3)*(f - 1)**2/7
Let q be 8/27 - 0/5. Let g(u) be the first derivative of -5/9*u**2 + 4/9*u + q*u**3 - 2 - 1/18*u**4. Find l such that g(l) = 0.
1, 2
Let o(y) be the second derivative of -y**7/189 + 2*y**6/9 - 299*y**5/90 + 485*y**4/27 + 100*y**3/9 - 1000*y**2/9 + 4*y - 142. Determine i so that o(i) = 0.
-1, 1, 10
Let n(j) be the first derivative of 0*j + 1/4*j**2 + 1/8*j**4 - 2 + 1/3*j**3. Suppose n(z) = 0. Calculate z.
-1, 0
Let k be (-3 - (-5 - -3)) + 4*1. Factor -10*n**k - 10*n**5 - 20*n**4 - 5*n**4 + 0*n**3.
-5*n**3*(n + 2)*(2*n + 1)
Let b(f) be the third derivative of -f**6/2880 + f**5/48 - 25*f**4/48 - 3*f**3/2 - 29*f**2. Let r(a) be the first derivative of b(a). Factor r(m).
-(m - 10)**2/8
Let p = 760 + -760. Let b(a) be the second derivative of p*a**4 + 0 + 0*a**3 - 3*a + 1/30*a**6 + 0*a**2 + 1/20*a**5. Factor b(v).
v**3*(v + 1)
Let a(v) be the second derivative of -v**4/42 + v**3/7 + 4*v**2/7 - 76*v. Determine f, given that a(f) = 0.
-1, 4
Factor -6/7*c**3 + 1/7*c**4 - 1/7*c**2 + 6/7*c + 0.
c*(c - 6)*(c - 1)*(c + 1)/7
Let g be (-126)/56*(-8)/3. Suppose h + 4 = g. Find f such that