 2)
Let k(h) = -7*h - 5. Let p be k(-2). Let x = p - 9. Factor 4*u**2 - u**2 - 6*u**2 + x*u**2 + 6*u.
-3*u*(u - 2)
Let z(h) be the first derivative of -2/27*h**3 - 110 + 4/9*h**2 + 0*h. Factor z(o).
-2*o*(o - 4)/9
Let u(c) be the first derivative of -c**3/15 + 17*c**2 + 231. What is m in u(m) = 0?
0, 170
Let s(i) be the third derivative of 2*i + 0 + 1/42*i**4 - 3*i**2 + 8/21*i**3 - 1/210*i**5. Determine n so that s(n) = 0.
-2, 4
Let c be (-18)/10 - (-87346)/3570. Suppose 578/3 + c*w + 2/3*w**2 = 0. Calculate w.
-17
Let p(k) = k**2 + 14*k + 15. Let i be p(-10). Let w = i + 53. Find n such that -w*n + 23*n**2 - 12*n**3 + 4*n**5 - 12*n**2 - n**4 + 26*n = 0.
-2, 0, 1/4, 1
Let n(d) = -d**3 + 126*d - 127*d + 0*d**3. Let h(z) = -5*z**3 + 2*z**2 - 6*z. Let t(s) = s**2 + s. Let o be t(2). Let w(m) = o*n(m) - h(m). Factor w(u).
-u**2*(u + 2)
Let -681*v**2 - 2253*v - 1248*v - 7920 - 175*v**2 - 1743*v + 4*v**3 = 0. Calculate v.
-3, 220
Let a(w) be the first derivative of -w**6/240 - w**5/60 + 13*w**4/48 - 5*w**3/6 + 14*w**2 + 76. Let g(m) be the second derivative of a(m). Factor g(c).
-(c - 2)*(c - 1)*(c + 5)/2
Let f(l) be the second derivative of -21/4*l**3 + 5/8*l**4 + 7 + 49/4*l**2 + l - 1/40*l**5. Suppose f(v) = 0. What is v?
1, 7
Let t(r) = -4*r**2 - 40*r - 12. Let a be 16/(-4 + 2 + 4). Let d(s) = -s + 2. Let z(x) = a*d(x) - t(x). Factor z(i).
4*(i + 1)*(i + 7)
Let a(p) be the third derivative of -3/5*p**5 + 1/112*p**8 - 3/35*p**7 + 0*p**3 + 13/40*p**6 + 0*p + 0 + 1/2*p**4 - 116*p**2. Factor a(t).
3*t*(t - 2)**2*(t - 1)**2
Suppose 2*v = 2*f - 2, 0 = -7*v + f - 62 + 79. Factor 1/4*i**v - 2*i**2 - 19/4*i - 5/2.
(i - 10)*(i + 1)**2/4
Find i, given that -7775*i - 12*i**3 - 9*i**2 + 3*i**4 - 7806*i + 15635*i = 0.
-2, 0, 3
Let i(c) be the second derivative of -3/5*c**5 + 1/14*c**7 - 65*c + 0*c**3 + 2*c**4 + 0 + 0*c**2 - 1/5*c**6. Let i(d) = 0. Calculate d.
-2, 0, 2
Suppose -i - 2 = 2*p, 3*i - 47*p = -45*p + 10. Let v(t) be the first derivative of -1/2*t**6 + 5 - 18/5*t**5 + 0*t**i + 0*t**3 - 27/4*t**4 + 0*t. Factor v(h).
-3*h**3*(h + 3)**2
Let f be 1035/138*(-40)/(-75). Let l(s) be the second derivative of 0*s**3 - 5/3*s**f + 0 + 22*s + 0*s**2 + s**5 - 1/6*s**6. Determine z so that l(z) = 0.
0, 2
Suppose -5*j + 11*x = 13 + 64, 5*j + 3*x = 21. Let 30/7*k**2 - 27/7*k - 3/7*k**3 + j = 0. Calculate k.
0, 1, 9
Let v = 65 - 127/2. Let j(w) be the first derivative of v*w**2 + 13 - 2*w + 0*w**3 - 1/4*w**4. Factor j(n).
-(n - 1)**2*(n + 2)
Let l(b) be the second derivative of -b**4/12 + 11*b**3/3 + 21*b**2/2 + 63*b. Let d(w) = w**2 - 2*w + 1. Let i(j) = 3*d(j) + l(j). Factor i(v).
2*(v + 2)*(v + 6)
Solve 20610*r + 16*r**4 - 4*r**3 - 2*r**5 + 5*r**5 - 20562*r - 20*r**3 - 64*r**2 = 0 for r.
-6, -2, 0, 2/3, 2
Factor 76/13*j**3 + 4608/13 + 3648/13*j + 2/13*j**4 + 914/13*j**2.
2*(j + 3)**2*(j + 16)**2/13
Find f such that 1/4*f**2 + 589/4 - 295/2*f = 0.
1, 589
Let x = -291975 + 291977. Solve 4/3*j**x + 112/3 - 116/3*j = 0 for j.
1, 28
Solve -2864/7*p + 32/7 + 64082/7*p**2 = 0.
4/179
Let h(g) be the first derivative of 2/5*g - 21/10*g**2 - 279 - 23/15*g**3. Factor h(x).
-(x + 1)*(23*x - 2)/5
Suppose -2*b + 0*b = -3*j + 10, b + 4 = j. Suppose 62*x - 63*x + j = 0. Factor 11*r**2 + 233*r**3 - 237*r**3 - 14*r**2 - 13*r**x.
-4*r**2*(r + 4)
Let z = 86 - 71. Suppose 11 - z = -2*q. Factor 3*k**q - 4*k + 4 + k**3 + 3*k**2 - k**2 + 12*k.
(k + 1)*(k + 2)**2
Suppose 224 + 556*x + 5*x**2 + 1539*x + 1403 + 463 = 0. Calculate x.
-418, -1
Let t = -172 - -159. Let c(d) = -4*d**2 + 48*d - 157. Let u(a) = -2*a**2 + 24*a - 78. Let w(z) = t*u(z) + 6*c(z). Let w(r) = 0. What is r?
6
Let d(u) be the second derivative of -u**7/84 + 29*u**6/15 - 23*u**5/8 - 2*u - 5948. Suppose d(m) = 0. Calculate m.
0, 1, 115
Let d(u) = 1. Suppose i - 4 = -2*f, 5*i + 4*f - 5 + 9 = 0. Let q(t) = -t**2 - 29*t + 31. Let z(m) = i*q(m) + 4*d(m). Factor z(c).
4*(c - 1)*(c + 30)
Solve -1118/7*y + 1/7*y**2 + 312481/7 = 0 for y.
559
Let s(w) = 9*w**2 - 3*w + 2. Let g be s(-1). Let -168*n**2 - 158*n - 60 + 4*n**4 + g*n - 6*n + 250*n**3 - 26*n - 298*n**3 = 0. Calculate n.
-1, 15
Let y(c) = 12*c**2 + 2332*c - 2440. Let w(g) = -2*g**2 + 13*g + 1. Let h(d) = -8*w(d) - y(d). Factor h(n).
4*(n - 608)*(n - 1)
Factor -5/2*c + 6 + 1/4*c**2.
(c - 6)*(c - 4)/4
Let w(y) be the second derivative of -y**5/80 + y**3/8 + y**2/4 + 460*y. Factor w(u).
-(u - 2)*(u + 1)**2/4
Let x = -111/3578 + 2011/7156. Factor -x*u**3 + 6*u - 23/4*u**2 + 0.
-u*(u - 1)*(u + 24)/4
Let c(k) be the second derivative of k**7/420 - 3*k**6/80 + k**5/15 - 3*k**2 + 2*k - 5. Let u(r) be the first derivative of c(r). Factor u(m).
m**2*(m - 8)*(m - 1)/2
Let z be (-30)/(-10)*1698/(-15). Let g = z + 340. Factor 0 - g*h**2 + 6/5*h.
-2*h*(h - 3)/5
Let z(d) be the third derivative of -d**8/168 - 8*d**7/105 + 29*d**6/30 - 44*d**5/15 + 13*d**4/4 - 2*d**2 - 54. Determine v so that z(v) = 0.
-13, 0, 1, 3
Suppose -12*z = 4*g - 140, -12*g + 14*g + 18 = 5*z. Let y(c) be the first derivative of g - 14/15*c**2 - 2/45*c**3 - 98/15*c. Factor y(o).
-2*(o + 7)**2/15
Suppose 434*p + 28 = 427*p. Let b(s) = -16*s**3 + 72*s**2 + 48*s + 4. Let h(t) = -t**3 + 2*t**2 + 1. Let l(w) = p*h(w) + b(w). Factor l(i).
-4*i*(i - 6)*(3*i + 2)
Suppose 150*s - 1912 = 154*s - 169*s - 313*s. Suppose -1/2*f**5 - f**2 - 3 + 4*f**s - 6*f**3 + 13/2*f = 0. Calculate f.
-1, 1, 6
Let p be 84/315*150/260. Find h, given that 6/13*h**2 + 0 + p*h**3 + 4/13*h = 0.
-2, -1, 0
Let b(n) be the second derivative of n**7/147 + 146*n**6/35 + 31974*n**5/35 + 1556068*n**4/21 - 7*n - 79. Let b(i) = 0. What is i?
-146, 0
Let k be 10 + (70/(-280) - 78/8). Let g(x) be the second derivative of -26*x + k + 0*x**2 + 1/12*x**3 - 1/72*x**4. Determine l so that g(l) = 0.
0, 3
Let f = -79128/11 + 553918/77. Suppose 20/7*b + 0 + 24/7*b**3 - f*b**4 - 6*b**2 = 0. Calculate b.
0, 1, 10
Let n(w) = w**2 + 11*w + 49. Let k be n(-11). Find r such that 152 + 33*r - 3*r**2 - 41 - k - 26 = 0.
-1, 12
Let j(a) be the third derivative of a**5/210 + 323*a**4/42 + 104329*a**3/21 - 20*a**2 - 7*a. Let j(i) = 0. What is i?
-323
Suppose 1941*s = 1931*s. Solve -44/7*x**3 + 16/7*x**4 + s + 48/7*x**2 - 2/7*x**5 - 18/7*x = 0 for x.
0, 1, 3
Suppose -20*w - 56 = -24 - 92. Determine r, given that w - 9/4*r**2 + r + 0*r**3 + 1/4*r**4 = 0.
-3, -1, 2
Let i be (9 + -5 - 0) + (24/4)/(-6). Let c(p) be the second derivative of 0 + 5/3*p**i - 5/4*p**4 + 1/4*p**5 + 5*p + 0*p**2. Let c(j) = 0. Calculate j.
0, 1, 2
Let i(c) be the third derivative of 2*c**3 + 1/40*c**6 - 27*c**2 - c + 0 + c**4 + 1/4*c**5. Solve i(y) = 0.
-2, -1
Let d(u) = 7*u**2 - 7*u - 9. Let c(r) = -12*r - 4 + 5*r + 0*r + 4*r + 3*r**2. Let t(o) = -9*c(o) + 4*d(o). Determine y so that t(y) = 0.
0, 1
Let x be 10/(-4) + 26*344/3328. Let w(y) be the first derivative of -1/4*y - x*y**4 + 8 + 5/12*y**3 - 1/8*y**2. Determine p so that w(p) = 0.
-1/3, 1
Factor -178*x - 80*x**2 + 2916 - 3*x**3 - 470*x - 19*x**2.
-3*(x - 3)*(x + 18)**2
What is f in -120564*f**3 - 1013655*f**3 - 7*f**5 + 1140624 + 3415465*f**2 - 2133*f**4 + 0*f**5 + 15*f**5 - 9*f**5 - 3419736*f = 0?
-1068, 1
Factor 2/11*s**3 + 48/11*s**2 - 1568/11 + 168/11*s.
2*(s - 4)*(s + 14)**2/11
Let l(h) be the first derivative of -h**5/20 + 5*h**4/2 - 52*h**3/3 - 480*h**2 - 2304*h - 1164. Let l(u) = 0. What is u?
-4, 24
Factor 25269499 - 251*a + 148*a**2 - 645*a - 25269451.
4*(a - 6)*(37*a - 2)
Let o(m) be the second derivative of 9/10*m**5 + 0 + 0*m**2 - 25*m - 5/4*m**4 - 1/10*m**6 - 6*m**3. Factor o(k).
-3*k*(k - 4)*(k - 3)*(k + 1)
Find x, given that 160/3*x + 208/3*x**2 + 172/3*x**4 - 20/3*x**5 + 0 - 136*x**3 = 0.
-2/5, 0, 2, 5
Solve -337*f + 5*f**2 + 1193 - 516 + 1118 - 4*f**2 - 27*f = 0.
5, 359
Let p(m) be the second derivative of m**4/66 - 551*m**3/33 + 50*m**2 - 1084*m. Factor p(g).
2*(g - 550)*(g - 1)/11
Let s(g) = -6*g**2 - 4956*g + 6. Let i(v) = 2*v**2 + 7*v - 3. Let l(j) = 4*i(j) + 2*s(j). Let l(t) = 0. What is t?
-2471, 0
Let p(i) = -70*i**3 - 338*i**2 + 120*i - 72. Let f(z) = -23*z**3 - 113*z**2 + 61*z - 24. Let b(t) = -8*f(t) + 3*p(t). Factor b(y).
-2*(y + 2)**2*(13*y + 3)
Let w(o) be the first derivative of -o**6/40 - 3*o**5/10 - 5*o**4/8 - 11*o**2 - 2*o + 35. Let p(m) be the second derivative of w(m). Factor p(h).
-3*h*(h + 1)*(h + 5)
Let j 