)**2/2
Let u(s) = 3*s - 2. Let r be u(-2). Let k be (4/r)/(2/(-8)). Factor 4*f - 14*f**k + 18*f**3 + 2*f**5 - f**4 - 9*f**4 - 2 + 2.
2*f*(f - 2)*(f - 1)**3
Let f = 215 - 77. Let y = f - 138. Factor -2/9*u + y*u**2 + 0 + 2/9*u**3.
2*u*(u - 1)*(u + 1)/9
Suppose -2*y = -6 - 6. Let l(n) = -n**3 + 5*n**2 + 8*n - 12. Let j be l(y). Factor -2*a**2 + j*a**2 + 2*a + 8*a**2.
2*a*(3*a + 1)
Let z(w) be the second derivative of -w**4/14 - 26*w**3/21 - 16*w**2/7 + 25*w. Factor z(v).
-2*(v + 8)*(3*v + 2)/7
Let t(x) be the third derivative of x**8/120960 + x**7/7560 + x**6/1080 - x**5/15 + 4*x**2. Let q(d) be the third derivative of t(d). Let q(i) = 0. What is i?
-2
Let w = 87 + -77. Find f, given that -6*f**3 + 39*f + w*f**4 - 11*f - 22*f - 10*f**2 = 0.
-1, 0, 3/5, 1
Let -18/5*y**2 - 2*y**4 - 40 - 104*y + 76/5*y**3 = 0. Calculate y.
-2, -2/5, 5
Suppose -12 = -3*c + 10*l, 7*c + l = 5*c + 8. Let x(t) be the second derivative of -1/18*t**c + 10*t + 0 + 4/27*t**3 - 1/9*t**2. What is d in x(d) = 0?
1/3, 1
Let v = 21199/116655 + 1/10605. Determine p, given that -2/11*p**4 + 0 + 2/11*p**3 + 0*p + 2/11*p**2 - v*p**5 = 0.
-1, 0, 1
Let n(w) be the second derivative of 3*w**5/20 - 5*w**4/4 + w**3 + 12*w**2 - 3*w + 2. Find v such that n(v) = 0.
-1, 2, 4
Let x = -10 + 12. Factor -71*b + 71*b - 5*b**x + 5.
-5*(b - 1)*(b + 1)
Let s = -57/434 + 17/62. Suppose 0*i**2 + s*i**4 + 0*i + 3/7*i**3 + 0 = 0. Calculate i.
-3, 0
Let i(d) be the first derivative of -d**4/18 + 2*d**3 - 8*d**2/3 - 104*d/9 - 67. Factor i(t).
-2*(t - 26)*(t - 2)*(t + 1)/9
Let l = 9 + -14. Let x be 1 + 0 - 3 - l. Factor -2 - 35/2*u**2 + 25/4*u**x + 11*u.
(u - 2)*(5*u - 2)**2/4
Let c(b) be the second derivative of -b**4/18 - 29*b**3/9 - 28*b**2/3 + 164*b. What is h in c(h) = 0?
-28, -1
Let z(v) be the third derivative of 0 + 1/14*v**3 + 21*v**2 + 1/420*v**6 - 1/60*v**5 + 0*v + 1/84*v**4. Find f such that z(f) = 0.
-1/2, 1, 3
Let u(c) = -c**3 + 2*c**2 + 4*c - 1. Let l be u(3). Let w = -5336/3 - -1780. Determine j so that 1/3*j**l + w*j + 1 = 0.
-3, -1
Let z = 71423/26787 + 3/8929. Factor -1/3*j**2 + 10/3*j**3 - z*j + 1.
(j + 1)*(2*j - 1)*(5*j - 3)/3
Let o be 2 + (3 - (-1 + 4)). Let f be (-7)/(-3) + 8/(-24). Factor 4*q + 2*q - 8*q**f + 11*q**o + 3.
3*(q + 1)**2
Suppose -5*f + 6*f = 8. Determine i so that -273*i**2 + 2*i**4 + 299*i**2 + f + 5*i + 12*i**3 + 19*i = 0.
-2, -1
Let h(x) be the third derivative of -x**6/720 + x**5/60 + 13*x**3/2 - 30*x**2. Let n(k) be the first derivative of h(k). Factor n(y).
-y*(y - 4)/2
Let n(v) be the second derivative of v**6/105 - v**5/35 - v**4/42 + 2*v**3/21 - 2*v - 50. Factor n(z).
2*z*(z - 2)*(z - 1)*(z + 1)/7
Factor 18/11*y - 2/11*y**3 + 6/11*y**2 + 10/11.
-2*(y - 5)*(y + 1)**2/11
Let v = 25/57 - 11/285. Factor 0 + v*f**2 + 4/5*f.
2*f*(f + 2)/5
Suppose -4*l + 280 - 316 = -5*s, 24 = 2*s - 4*l. Suppose 20/3*f**3 - 2/3*f**s + 0 - 50/3*f**2 + 0*f = 0. What is f?
0, 5
What is r in -10*r**3 - 44 + r**4 + 24*r**3 - 181*r**2 - 4*r + 214*r**2 = 0?
-11, -2, 1
Let r be 396/45 - 2/(-10). Let k(q) be the third derivative of 1/70*q**5 + 4/21*q**3 + r*q**2 + 0*q + 0 + 2/21*q**4. Suppose k(o) = 0. What is o?
-2, -2/3
Let r(o) be the second derivative of -3*o**2 + 2*o + o**4 + 1 + 7/2*o**3. Solve r(i) = 0 for i.
-2, 1/4
Let c(f) be the first derivative of -f**5/12 + 5*f**4/4 - 15*f**3/2 + 5*f**2 + 2. Let o(b) be the second derivative of c(b). Factor o(s).
-5*(s - 3)**2
Let d(m) be the third derivative of 3/8*m**4 + 0*m - 1/20*m**5 - 42*m**2 + 0 - m**3. Factor d(c).
-3*(c - 2)*(c - 1)
Suppose v + 11 = 185*h - 183*h, -3*h + 3*v + 9 = 0. Solve -h + 8/3*n - 2/9*n**2 = 0.
6
Let d = -154 + 158. Let z(l) be the second derivative of 1/10*l**5 + 2*l**2 - l + 1/15*l**6 + 0 - 1/3*l**3 - 1/2*l**d. Factor z(y).
2*(y - 1)**2*(y + 1)*(y + 2)
Let n be 1 + -4 + (-18)/(-6 - -4). Factor n*k**3 + 8 + 145*k**2 - 2 - 22*k - 135*k**2.
2*(k - 1)*(k + 3)*(3*k - 1)
Let i(w) be the second derivative of -7*w**5/80 - 115*w**4/96 - 11*w**3/24 + w**2 - 18*w. Factor i(g).
-(g + 8)*(2*g + 1)*(7*g - 2)/8
Let q(w) be the third derivative of -w**5/180 + 2*w**4/9 - 5*w**3/6 - 53*w**2. Factor q(f).
-(f - 15)*(f - 1)/3
Suppose 7*y - 624 = -28*y - 17*y. Factor -6 - 3/8*j**4 + y*j - 9*j**2 + 3*j**3.
-3*(j - 2)**4/8
Let v be 111/(5/(-12)*(-63)/14). Suppose 2/5*j**5 + v*j**2 + 64*j + 128/5*j**3 + 26/5*j**4 + 128/5 = 0. Calculate j.
-4, -2, -1
Factor -t**5 - 36157*t - 4168*t**3 - 2*t**5 - 10718*t + 52500*t**2 - 1682*t**3 + 228*t**4.
-3*t*(t - 25)**3*(t - 1)
Let a(i) be the first derivative of i**5/4 + 7*i**4/8 - 2*i**3/3 - 7*i**2/4 + 3*i/4 - 652. Suppose a(t) = 0. Calculate t.
-3, -1, 1/5, 1
Let h be (-4)/(-10) + (-104)/(-40). Suppose -7*z**3 - 3*z**4 - z**3 - z**h - 8*z**2 + 2*z**2 = 0. Calculate z.
-2, -1, 0
Determine w so that -5*w**4 + 25*w**3 + 90 - 8*w**2 - 1026*w + 3*w**2 + 921*w = 0.
-2, 1, 3
Solve 3/8*k**2 - 3 + 21/8*k = 0 for k.
-8, 1
Let d(o) = -5*o**3 + 2*o**2 + 2*o + 2. Let f(i) = 110*i**3 - 45*i**2 - 45*i - 45. Let t(p) = -45*d(p) - 2*f(p). Solve t(v) = 0.
0
Let x = 118301/5 - 23641. Solve 16/5*c - 2/15*c**2 - x = 0 for c.
12
Let r(t) be the first derivative of -t**4/2 + 16*t**3/3 + 9*t**2 + 5. Factor r(u).
-2*u*(u - 9)*(u + 1)
Let a(k) be the second derivative of -k**7/3360 - k**6/120 - 2*k**4/3 - 3*k. Let i(u) be the third derivative of a(u). Find d such that i(d) = 0.
-8, 0
Let a(x) = -x**3 - 8*x**2 - 25*x - 13. Let r(d) = -d**3 - 7*d**2 - 25*d - 14. Let b(o) = -4*a(o) + 3*r(o). Let n be b(-8). Factor -2/17*t**3 + 0 + 0*t + 0*t**n.
-2*t**3/17
Let v(q) be the third derivative of q**7/105 - 3*q**6/40 + 3*q**5/20 + q**4/24 - q**3/2 - 9*q**2 + 6*q. Solve v(p) = 0 for p.
-1/2, 1, 3
Let i(x) be the third derivative of 0*x + 1/672*x**8 + 0*x**3 - 1/30*x**5 + 1/48*x**4 + 1/40*x**6 - 8*x**2 + 0 - 1/105*x**7. Factor i(d).
d*(d - 1)**4/2
Let t = 5/63 + -2/9. Let h = 4/21 - t. Factor 1/3*s + 0 - 1/3*s**3 - h*s**2 + 1/3*s**4.
s*(s - 1)**2*(s + 1)/3
Suppose -36*b**2 - 4 + 3*b - 10*b**3 + 30 + 7*b**3 + 10 = 0. Calculate b.
-12, -1, 1
Let o(d) be the second derivative of 0*d**5 - 1/10*d**6 + 14*d + 0 + 0*d**2 + 1/42*d**7 + 1/3*d**4 + 0*d**3. Factor o(a).
a**2*(a - 2)**2*(a + 1)
Let w(a) be the first derivative of -7*a**6/24 + 19*a**5/20 + 13*a**4/16 - 19*a**3/12 - 3*a**2/4 + 78. Find o such that w(o) = 0.
-1, -2/7, 0, 1, 3
Let z be (-4)/50 - (574/410 - (-866)/(-450)). Let z*u - 2/9*u**2 + 0 = 0. Calculate u.
0, 2
Let o(u) be the first derivative of 2/3*u**3 - 2*u**2 + 0*u - 8 + 3/2*u**4. Factor o(y).
2*y*(y + 1)*(3*y - 2)
Let i(f) be the second derivative of -f**4/15 - 22*f**3/15 - 56*f**2/5 - 85*f - 2. Factor i(x).
-4*(x + 4)*(x + 7)/5
Let p = -93 + 44. Let d = p + 49. Factor 2/5*n**3 + 4/5*n**2 + 2/5*n + d.
2*n*(n + 1)**2/5
Let u = -10547/7 - -1507. Factor 2/7*x**3 + 0 + 0*x**4 + 0*x + 0*x**2 - u*x**5.
-2*x**3*(x - 1)*(x + 1)/7
Let q(n) be the second derivative of 2*n**7/35 + 27*n**6/25 + 3*n**5 - 144*n**4/5 + 128*n**3/5 - 81*n - 2. Determine c so that q(c) = 0.
-8, 0, 1/2, 2
Let n(p) be the third derivative of -1/72*p**4 + 3*p**2 + 0 + 0*p + 0*p**3 + 1/126*p**7 - 1/36*p**5 + 1/360*p**6. Find f, given that n(f) = 0.
-1, -1/5, 0, 1
Suppose -7*k**2 + 12*k**2 + 21*k + 25 - 11*k + 20*k = 0. Calculate k.
-5, -1
Let w(i) be the second derivative of 0 + 1/4*i**5 - 5/6*i**4 + 22*i + 5/6*i**3 + 0*i**2. Determine m so that w(m) = 0.
0, 1
Factor 0 + 2/11*j + 4/11*j**2 + 2/11*j**3.
2*j*(j + 1)**2/11
Let -2*w + 2*w**3 + 494*w**5 - 496*w**5 + 2*w**3 = 0. Calculate w.
-1, 0, 1
Suppose 0*m + 6 = -3*m, 0 = 3*q + 5*m - 5. Let a = q - -1. Suppose 2*x - a*x**4 - 2*x - 3*x**5 + 3*x + 6*x**2 = 0. What is x?
-1, 0, 1
Let l be (-226)/(-4) + (-1)/(-2). Suppose 56 = 4*j + 40. Solve 27*m**2 + 26*m**j + 22*m**4 + m**3 + l*m**3 + 14*m**3 = 0.
-3/4, 0
Suppose 33*z = -20*z - 20*z + 9*z. Let i = -30 + 61/2. Solve i*v**5 + 0 + 1/2*v + z*v**4 + 0*v**2 - v**3 = 0 for v.
-1, 0, 1
Factor -2/5*z**2 + 98/5 - 96/5*z.
-2*(z - 1)*(z + 49)/5
Let z(w) be the first derivative of w**4/12 + 2*w**3/3 + 3*w**2/2 - 11*w - 9. Let m(v) be the first derivative of z(v). Factor m(o).
(o + 1)*(o + 3)
Let c be (5 - (-8 - -10))/1. Let o = 17 + -11. Factor -4*k**3 + 8*k**3 - 7*k**3 - 5*k**c - k + o*k**2.
-k*(2*k - 1)*(4*k - 1)
Let a(p) be the second derivative of -p**7/147 - p**6/1