ive of 26/9*k**3 + 2 - 30*k + 0*k**2 - 1/9*k**4. Factor w(h).
-4*h*(h - 13)/3
Let s = -34875 + 34879. Let w(m) be the second derivative of 16/3*m**3 + 5/3*m**s + 1/5*m**5 + 8*m**2 + 0 - 28*m. Factor w(o).
4*(o + 1)*(o + 2)**2
Let t = -576 - -579. Suppose -2*m**4 - 242*m**2 + m - m - 6728*m**t + 6772*m**3 = 0. Calculate m.
0, 11
Let h = -287/3151 + 7737/15755. Let 4/5*j**2 + h - 6/5*j**4 - 6/5*j + 2/5*j**5 + 4/5*j**3 = 0. Calculate j.
-1, 1
Let i be 5 + 2014 - 2*3/(-6). Suppose h + 2*r = -3 + 10, 4*h - 64 = r. Factor h*p**2 + 0*p**3 + i*p - 2010*p + 5*p**3.
5*p*(p + 1)*(p + 2)
Let q(x) = 5*x**2 + 263*x + 125. Let m(y) = -5*y**2 - 282*y - 125. Let k(t) = 7*m(t) + 8*q(t). Find f such that k(f) = 0.
-25, -1
Factor -97536*s**2 + 762*s**4 + 10071*s**3 - 41609*s - 3*s**5 - 9470*s - 588*s + 2515*s - 57690*s**3.
-3*s*(s - 128)**2*(s + 1)**2
Let g(a) = a**3 + 12*a**2 + 2. Let f be g(-12). Factor -12*m + m**3 + 0*m**2 + 21*m**2 + f*m**3 - 12*m.
3*m*(m - 1)*(m + 8)
Suppose 0 = -0*h - 4*h + 20. Suppose 0 = -z - 0*z + 5*p + 27, -5*z + h*p = -35. Solve -94 - z*l**2 + 28*l - 106 + 12*l = 0.
10
Let v(m) be the first derivative of 7*m**5/12 - 5*m**4/2 + 25*m**3/6 - 33*m**2/2 - 34. Let k(r) be the second derivative of v(r). Suppose k(i) = 0. Calculate i.
5/7, 1
Let i be (0 + 0)/((-1887)/777 - (-8)/(-14)). Factor 4/9*u**4 + 1/9*u**2 - 5/9*u**3 + 0*u + i.
u**2*(u - 1)*(4*u - 1)/9
Let r(m) be the second derivative of -16/27*m**3 + 11*m + 1/6*m**4 - 1/270*m**6 + 5/6*m**2 - 2 + 0*m**5. Factor r(w).
-(w - 3)*(w - 1)**2*(w + 5)/9
Suppose 2*r - 3*f - 1 = -8, 2*r - 4*f = -12. Factor -60*c + 5*c**3 - 350 - 40*c**2 + 5*c**r + 708 - 358.
5*c*(c - 3)*(c + 2)**2
Suppose 0 = 2*m - 3*v - 12, -m - 18 = -4*m + 3*v. Factor 133*k - m*k**2 - 105*k + 2*k**2.
-4*k*(k - 7)
Factor -116/3 + 29/3*i**2 - 1/3*i**3 + 4/3*i.
-(i - 29)*(i - 2)*(i + 2)/3
Find t, given that -24/13 + 188/13*t**2 + 22/13*t + 28/13*t**4 + 192/13*t**3 - 22/13*t**5 = 0.
-1, 3/11, 4
Let i(d) be the third derivative of 1/20*d**5 + 6*d**3 + 0 - 5/4*d**4 + 228*d**2 + 1/80*d**6 + 0*d. Factor i(n).
3*(n - 2)**2*(n + 6)/2
Factor -36*h - 182/5 + 2/5*h**2.
2*(h - 91)*(h + 1)/5
Let p(i) be the first derivative of 0*i**2 + 6 + 0*i + 8/3*i**3 + 4/5*i**5 - 3*i**4. Factor p(q).
4*q**2*(q - 2)*(q - 1)
Suppose 11*c = 784 + 404. Determine o, given that -c*o**4 + 148/5*o + 904/5*o**3 + 20*o**5 - 120*o**2 - 12/5 = 0.
1/5, 1, 3
Find i such that 17*i**3 + 32663*i**2 + 176*i + 2*i**3 + i**3 - 32859*i**2 = 0.
0, 1, 44/5
Let k(i) be the first derivative of i**5/25 + i**4/4 - i**3/15 - i**2/2 - 128. Factor k(a).
a*(a - 1)*(a + 1)*(a + 5)/5
Let k(w) be the second derivative of -w**4/16 + 345*w**3/4 - 357075*w**2/8 - 1065*w + 2. Factor k(f).
-3*(f - 345)**2/4
Let r(w) be the first derivative of -w**7/1400 + 7*w**6/300 - 14*w**3/3 + w**2/2 - 80. Let k(y) be the third derivative of r(y). Find f such that k(f) = 0.
0, 14
Let m = -1687 + 4664/3. Let d = m - -133. Factor 0 + 2/3*b + 2/3*b**4 - d*b**3 - 2/3*b**2.
2*b*(b - 1)**2*(b + 1)/3
Suppose -4*f = -13*f + 531. Suppose 3*n - 152 = q - 3*q, 0 = 3*n - 3*q - 177. Factor 1 + f*g**5 + 1 + 5*g - 10*g**2 - n*g**5 - 10*g**3 + 5*g**4 + 3.
5*(g - 1)**2*(g + 1)**3
Let a(t) be the second derivative of -t**5/60 + 17*t**4/18 + 21*t**3/2 + 39*t**2 - 6493*t. Suppose a(h) = 0. Calculate h.
-3, -2, 39
Let u be (25 - 3) + -4 + 0 + 4. Suppose -8*q = -u*q + 252. Factor -15 - 54 - 48 - h**2 - q*h + 36.
-(h + 9)**2
Suppose 7*z - 7*z = 5*z + 9*z. Let y(h) be the second derivative of -3*h + 3/2*h**2 - 2/3*h**3 - 1/80*h**5 + 7/48*h**4 + z. Factor y(k).
-(k - 3)*(k - 2)**2/4
Let m = -325 + 453. Let i be m/18 - 168/24. Factor -2/9*w**2 + i*w + 0 + 1/9*w**3.
w*(w - 1)**2/9
Let h be 18/111*((-30)/(-6))/(-10). Let s = h - -46/111. Factor n - s + 4/3*n**2.
(n + 1)*(4*n - 1)/3
Let v = -801 + 553. Let z = v - -995/4. Factor -z - 13/4*c - c**2.
-(c + 3)*(4*c + 1)/4
Solve -42/13 - 8/13*q + 2/13*q**2 = 0.
-3, 7
Let l(a) be the first derivative of 2*a**3/21 - 416*a**2/7 + 86528*a/7 - 649. Factor l(w).
2*(w - 208)**2/7
Let a(i) be the second derivative of 2*i**6/15 + 2*i**5 + 7*i**4 - i + 1667. Factor a(p).
4*p**2*(p + 3)*(p + 7)
Let n = 628/335 - -1/2680. Factor -17/8*o**3 + 0 - n*o**2 + 1/4*o.
-o*(o + 1)*(17*o - 2)/8
Let m(s) be the first derivative of 0*s + 16/9*s**3 - 31 + 0*s**2 + 1/9*s**4. Factor m(g).
4*g**2*(g + 12)/9
Let b(d) be the second derivative of -d**8/11760 - d**7/5880 + d**6/2520 + d**5/840 + 79*d**3/2 + 30*d. Let w(m) be the second derivative of b(m). Factor w(s).
-s*(s - 1)*(s + 1)**2/7
Let c(l) be the second derivative of -l**6/90 + 3*l**5/10 - 311*l**3/6 - 77*l + 1. Let d(y) be the second derivative of c(y). Factor d(j).
-4*j*(j - 9)
What is t in 3/2*t**3 + 0 - 13/8*t - 7/4*t**2 + 1/8*t**5 + 7/4*t**4 = 0?
-13, -1, 0, 1
Suppose -5*l + 28*d - 32*d = -167, -2*l - 4*d + 62 = 0. Let i be (9/10)/((273/l)/13). Let 0 - 3*y**2 - i*y**5 + 0*y**3 + 3/2*y + 3*y**4 = 0. Calculate y.
-1, 0, 1
Let c(t) be the third derivative of 4/3*t**4 - 3/10*t**6 - 3*t**2 + 32/3*t**3 - 8*t - t**5 + 0. Find i, given that c(i) = 0.
-4/3, 1
Let b(s) = s**2 + s + 2. Suppose 90 = -2*y + 84. Let d(z) = 4*z**2 + 15*z - 7. Let m(l) = y*b(l) + d(l). Factor m(n).
(n - 1)*(n + 13)
Let h(i) = i - 26. Let b be h(30). Find s, given that -3*s**3 - 3*s**4 + 4*s**b + 15400*s - 15401*s + 3*s**2 = 0.
0, 1
Let x = 1285489/5 - 257096. Determine t so that -9*t**2 + x + 12/5*t**3 + 24/5*t = 0.
-1/4, 1, 3
Let m(h) be the first derivative of 15*h**2 - 5/3*h**3 + 60 - 25*h. Factor m(b).
-5*(b - 5)*(b - 1)
Factor 2/15*h**2 + 4/15*h - 16.
2*(h - 10)*(h + 12)/15
Let k(a) be the first derivative of 16*a**2 + 188 - 4/3*a**3 + 48*a - a**4. Factor k(r).
-4*(r - 3)*(r + 2)**2
Let b(i) = i**2 + 21*i - 304. Let g be b(20). Let o be 559/g - (-2)/(-6). Factor 1 + o*v - 1/4*v**2.
-(v - 4)*(v + 1)/4
Let l be (-3)/(-9) - 56/(-21). Factor 89*n**l - 26*n**3 + 3*n**5 + 24*n - 24*n**4 - 18*n**2 + n**2 - 49*n**2.
3*n*(n - 4)*(n - 2)*(n - 1)**2
Let v = 1930619/9 + -214513. Suppose 26/9 - 8/3*y - v*y**2 = 0. Calculate y.
-13, 1
Let -1/7*u**3 - 27/7*u - 9/7*u**2 - 27/7 = 0. What is u?
-3
Let s(b) = 18*b**4 - 29*b**3 - 81*b**2 - 46*b - 9. Let o(v) = -v**4 + 2*v**2 - v - 1. Let i(z) = 3*o(z) - s(z). Find w, given that i(w) = 0.
-1, -1/3, -2/7, 3
Let g = 3155/72 - 21797/504. What is a in -104/7*a + 18/7*a**4 + 66/7*a**3 - g*a**2 + 48/7 = 0?
-3, -2, 2/3
Let z(y) be the second derivative of y**6/70 - 3*y**5/2 + 67*y**4/28 + 69*y**3/7 - 6052*y. Let z(v) = 0. Calculate v.
-1, 0, 2, 69
Let y(t) = 5*t**3 + 73*t**2 - 28*t + 32. Let p be y(-15). Suppose -8 - 2 = -5*b. What is q in -2*q**3 + 2*q**p - 4*q**b + q**3 - q**3 + 2*q**5 + 2*q**4 = 0?
-1, 0, 1
Let l(n) be the third derivative of -5*n**8/84 - 6*n**7/7 + 13*n**6/8 - 5*n**5/6 - 1214*n**2. Find c such that l(c) = 0.
-10, 0, 1/2
Suppose -45*v + 40*v + 21 = 11*h, -4*h = -4. Let 30*a + 5/2*a**v + 50 = 0. What is a?
-10, -2
Let c(m) be the first derivative of -m**6/960 + 13*m**5/320 + 7*m**4/32 + 5*m**3/3 - 12*m - 20. Let h(q) be the third derivative of c(q). Solve h(g) = 0 for g.
-1, 14
Let u(v) be the third derivative of 7/6*v**3 + 0 + 1/4*v**4 - 1/60*v**5 + 0*v + 28*v**2. Let u(m) = 0. What is m?
-1, 7
Let q be (-11)/(385/(-2534)) - -1*2. Let b = 76 - q. Determine l, given that -4*l - 6/5*l**2 - b + 9/5*l**3 = 0.
-2/3, 2
Let m(s) = 11 + 10*s**3 + 0 + 40*s**2 + 9 + 45*s. Let w(y) = 5*y**3 + 20*y**2 + 23*y + 10. Let k(g) = -2*m(g) + 5*w(g). Let k(i) = 0. Calculate i.
-2, -1
Let b(s) = -26*s - 67 + 47*s + 66 + 34*s + 333. Let v be b(-6). Factor -1/7*x**v - 4/7 + 4/7*x.
-(x - 2)**2/7
Let z(m) = m**3 - 11*m**2 - 99*m - 15. Let l be z(17). Solve 10*n**3 + 58*n**2 + 3*n**4 + l + 23*n**3 - 97*n**2 - 33*n = 0.
-12, -1, 1
Let x be (-22)/6*486/(-594). Let r(y) be the first derivative of -y - 1/16*y**4 - 5/12*y**x - y**2 - 20. Factor r(f).
-(f + 1)*(f + 2)**2/4
Let z(a) be the third derivative of -1/108*a**4 - 2 + 0*a + 11*a**2 + 1/540*a**5 + 1/54*a**3. Let z(r) = 0. What is r?
1
Find a such that 160/21*a + 12/7*a**2 + 64/7 + 2/21*a**3 = 0.
-12, -4, -2
Let i(u) = 263*u + 1578. Let a be i(-6). Let g(c) be the first derivative of -13 - 1/3*c**4 - 1/15*c**5 + 1/9*c**3 + 0*c + 2/9*c**6 + a*c**2. Solve g(q) = 0.
-1, 0, 1/4, 1
Let a(w) = 70*w + 1265. Let y be