 0. Calculate a.
0, 1, 31
Let b(k) = 6*k + 39 + k - 4 - 4*k. Let j be b(-11). Find u such that 40*u**j + 49*u**3 + 31*u**3 - 123*u + 48*u - 45 = 0.
-3/4, 1
Let z(m) = m**2 + 68*m + 69. Let c be z(-67). Let h(x) be the first derivative of 1/20*x**4 + 2/5*x - 3/10*x**c + 0*x**3 - 5. Factor h(s).
(s - 1)**2*(s + 2)/5
Factor 76/7*k + 722/7 + 2/7*k**2.
2*(k + 19)**2/7
Factor -387*c**2 + 48 + 0*c**3 - 2*c**3 - 206*c + 231*c**2 - 300 + 200*c**2.
-2*(c - 14)*(c - 9)*(c + 1)
Let i(u) be the first derivative of 2*u**5/15 + 5*u**4/2 + 38*u**3/3 + 73*u**2/3 + 20*u - 1128. Suppose i(c) = 0. Calculate c.
-10, -3, -1
Let i(o) be the first derivative of o**6/720 + 2*o**3/3 + 8*o + 37. Let j(l) be the third derivative of i(l). Factor j(p).
p**2/2
Let k = -149 + 153. Factor 6889*j**k - 5*j**5 + 12*j**3 - 6884*j**4 - 2*j**3.
-5*j**3*(j - 2)*(j + 1)
Let m(o) be the first derivative of 5*o**4/4 - 205*o**3/3 - 5*o**2/2 + 205*o + 1331. Factor m(y).
5*(y - 41)*(y - 1)*(y + 1)
Let h(d) be the first derivative of -9*d**6/10 - 1302*d**5/25 + 531*d**4/10 + 532*d**3/5 - 207*d**2/2 - 294*d/5 - 485. What is f in h(f) = 0?
-49, -1, -2/9, 1
Let b = -1302 + 1188. Let s = 116 + b. Suppose -15/7*z + 3/7*z**s + 12/7 = 0. What is z?
1, 4
Let x(z) = 36*z**2 + 656*z + 149. Let u(i) = 9*i**2 - i + 1. Let p(c) = 6*u(c) - 2*x(c). Factor p(y).
-2*(y + 73)*(9*y + 2)
Suppose -2*u = b - 8, 2*b - 5*b - u = -39. Let n = b + -12. Factor -n + v + v**2 + 6*v**2 + 0 - 6*v**2.
(v - 1)*(v + 2)
Factor 24/7*d - 12/7*d**2 + 2/7*d**3 - 16/7.
2*(d - 2)**3/7
Let v(a) = -37*a**2 + 12451*a - 24922. Let d(s) = -96*s**2 + 32373*s - 64796. Let q(l) = -12*d(l) + 31*v(l). Determine g so that q(g) = 0.
2, 497
Let w(l) = l - 3. Let a be w(5). Suppose 9 = u + 3*q + a, 3*u - 49 = -2*q. Factor 6 + 80*g**2 - 14*g**3 + 0 + 27*g + u*g - 18*g**3.
-2*(g - 3)*(4*g + 1)**2
Let 912*k - 1528*k**2 + 1681*k**2 - 3*k**3 - 1786 - 2246 = 0. What is k?
-8, 3, 56
Suppose 0 = 17*n + 139 - 20. Let l be (-2)/n + (-485)/(-140). Find k, given that 9/4 + 3/4*k**2 + 3/4*k**3 - l*k = 0.
-3, 1
Let x(y) be the first derivative of 21*y**6/10 + 48*y**5/25 - 69*y**4/20 - 2*y**3 + 12*y**2/5 - 2374. Suppose x(r) = 0. Calculate r.
-1, 0, 4/7, 2/3
Let w(n) be the second derivative of -n**5/170 + 3*n**4/34 + 22*n**3/51 - 577*n. Factor w(v).
-2*v*(v - 11)*(v + 2)/17
Let z(i) be the second derivative of -9/50*i**5 + 60*i + 1/30*i**4 + 0 + 0*i**3 - 1/15*i**7 + 1/5*i**6 + 0*i**2. Find n, given that z(n) = 0.
0, 1/7, 1
Let i = -76 + 86. Suppose n = 11*p - 15*p + i, 5*p - 13 = -n. Solve v**p + 2*v**2 + v**3 - 3*v**3 + 4*v - 8 = 0 for v.
-2, 2
Let y(b) = 2*b**5 - 10*b**4 + 20*b**3 + 12*b**2 + 12*b - 12. Let j(c) = 2*c**4 + c**3 + c**2 - c + 1. Let f(v) = -12*j(v) - y(v). Factor f(k).
-2*k**2*(k + 2)**2*(k + 3)
Factor -1/3*u**2 - 2734/3*u - 1868689/3.
-(u + 1367)**2/3
Suppose 2*v + 5*g = -14, -2*v + 3*g + 10 = 2*g. Let l = 84348 - 84348. Solve 2*k + 2/9*k**5 + l - 8/9*k**4 + 8/3*k**2 - 4/9*k**v = 0 for k.
-1, 0, 3
Let q(z) = -z**3 + 64*z**2 + 172*z + 113. Let y(d) = 4*d**3 - 126*d**2 - 343*d - 227. Let n(h) = 7*q(h) + 3*y(h). Factor n(j).
5*(j + 1)*(j + 2)*(j + 11)
Let i = 1518102 + -1518102. Find w such that 2/5*w**4 - 14/5*w**3 + i - 2/5*w**2 + 12/5*w + 2/5*w**5 = 0.
-3, -1, 0, 1, 2
Let h(s) = -s**2 - 9*s + 1. Let w(v) = 9*v**2 + 180*v - 12. Let b(c) = 12*h(c) + w(c). Find d, given that b(d) = 0.
0, 24
Let d(v) be the third derivative of -32*v**7/315 - 14*v**6/45 - 19*v**5/60 - v**4/8 + 16*v**2 + 9*v. Determine g, given that d(g) = 0.
-1, -3/8, 0
Let t(w) = 26*w**2 + 101*w - 116. Let n(u) = -5*u**2 - 20*u + 23. Let b(v) = v**2 + 8*v + 18. Let g be b(-4). Let a(d) = g*t(d) + 11*n(d). Solve a(h) = 0 for h.
-7, 1
Let y = -2004 + 5178. Factor -2*m**3 - m**3 - 257*m**2 + m**3 - y*m + 119*m**2 - 24334.
-2*(m + 23)**3
Let f(a) = 2*a**4 - a**2 + a - 1. Let x be 336/(-72) + (-2)/6. Let r(i) = 6*i**4 + 4*i**3 + 11*i**2 - 11*i - 5. Let z(m) = x*f(m) + r(m). Solve z(k) = 0 for k.
-2, 0, 1, 2
Let v(i) = 87*i - 781. Let b be v(9). Let u(x) be the third derivative of 0*x + 0 - 9/4*x**3 + 19*x**b - 1/40*x**5 - 3/8*x**4. Factor u(n).
-3*(n + 3)**2/2
Suppose m = -2*b + 8, -4*b - 9 + 25 = m. Let w(g) be the third derivative of 0 + 0*g - 1/210*g**5 + m*g**3 - 14*g**2 + 1/14*g**4. Suppose w(u) = 0. Calculate u.
0, 6
Let k be (-5 + (-74)/(-14))*(-32 + 0)/(-16). Factor k*s**2 - 88/7*s + 0.
4*s*(s - 22)/7
Let h(i) = i**3 - 7*i**2 + i - 1. Let d(s) = 5*s**4 + 640*s**3 + 27135*s**2 + 386090*s + 1764190. Let g(l) = d(l) + 10*h(l). Factor g(p).
5*(p + 11)**2*(p + 54)**2
Let q be ((-65)/1560 - (-110)/(-192)*-4) + (-2)/8. Factor -9/8*p**4 + 0*p**3 + 0 + 0*p + 3/8*p**5 + 0*p**q.
3*p**4*(p - 3)/8
Let n(a) = 12*a**5 - 93*a**4 - 90*a**3 + 12*a**2 + 78*a - 27. Let l(j) = j**5 - 7*j**4 - 7*j**3 + j**2 + 6*j - 2. Let r(v) = 27*l(v) - 2*n(v). Factor r(g).
3*g*(g - 2)*(g - 1)*(g + 1)**2
Let f(c) be the third derivative of c**7/1680 + 11*c**6/80 + 299*c**5/32 + 4225*c**4/96 - 2559*c**2. Factor f(z).
z*(z + 2)*(z + 65)**2/8
Let x be 5 + (-1)/(-1) + 0 - 0. Let c(k) be the first derivative of -2*k**2 + 2/3*k**3 + 0*k - x + 1/2*k**4. Factor c(m).
2*m*(m - 1)*(m + 2)
Let g(t) be the second derivative of t**6/20 - 21*t**5/20 + 33*t**4/8 + 28*t**3 + 48*t**2 - 249*t + 2. Factor g(z).
3*(z - 8)**2*(z + 1)**2/2
Let m(k) be the third derivative of k**6/40 - 21*k**5/20 + 39*k**4/8 - 19*k**3/2 + 34*k**2. Suppose m(n) = 0. What is n?
1, 19
Let m(d) be the first derivative of -1/11*d**6 - 8/11*d**3 + 12/55*d**5 - 81 - 12/11*d**2 + 0*d + 9/22*d**4. Factor m(w).
-6*w*(w - 2)**2*(w + 1)**2/11
Let d(z) be the second derivative of -7*z**4/12 + 92*z**3/3 - 26*z**2 + 253*z. Find y such that d(y) = 0.
2/7, 26
Suppose 3*p + 4*h = 3859 - 3785, 2*p + 10*h - 174 = 0. Factor 2/7*b**p + 0 - 12/7*b.
2*b*(b - 6)/7
Let p(d) be the first derivative of -7*d**5 - 95*d**4/4 + 170*d**3/3 - 20*d**2 + 13110. Factor p(b).
-5*b*(b - 1)*(b + 4)*(7*b - 2)
Let j = -35419/116 + -70/29. Let y = j + 308. Factor -3/4*c**3 + c**5 + 0*c + 0 + 0*c**4 - y*c**2.
c**2*(c - 1)*(2*c + 1)**2/4
Let g(h) be the first derivative of 3*h**5/5 - 519*h**4/8 + 4959*h**3/2 - 138765*h**2/4 - 73167*h/2 - 3373. Factor g(b).
3*(b - 29)**3*(2*b + 1)/2
Let c be (1 + 1 + (-25)/10)*0. Suppose -4*a + 456 - 72 = c. Find s such that 164*s**2 + 80*s - a - 60*s**2 + 55*s**3 - 59*s**3 - 12*s**4 = 0.
-2, 2/3, 3
Let k(v) be the third derivative of -v**7/42 + 89*v**6/8 + 269*v**5/4 + 4045*v**4/24 + 225*v**3 + 2565*v**2. Let k(s) = 0. What is s?
-1, 270
Let q(n) = -7*n**4 - 17*n**3 + 73*n**2 - 163*n + 66. Let z(j) = -j**4 - 3*j**3 - 3*j - 1. Let r(t) = -5*q(t) + 30*z(t). Determine b, given that r(b) = 0.
-9, 1, 8
Let g(d) = 5*d**3 + 101*d**2 - 706*d + 1344. Let y(c) = -21*c**3 - 405*c**2 + 2823*c - 5368. Let q(i) = -25*g(i) - 6*y(i). Suppose q(f) = 0. What is f?
4, 87
Suppose 0 = -4*a + 7*a - 9. Suppose -2*p - 2*z = -6*z - 8, 3*p - a*z = 9. Factor 5*w - 9 + 7*w - 154*w**p + 151*w**2.
-3*(w - 3)*(w - 1)
Suppose 14*r + 133 - 175 = 0. Let u be (-4 - 6)*(-2)/r + -6. Let 32/3 + 16/3*l + u*l**2 = 0. What is l?
-4
What is l in 386/7*l - 50/7*l**2 + 62 - 2/7*l**3 = 0?
-31, -1, 7
Factor -446/15*p - 884/15 - 2/15*p**2.
-2*(p + 2)*(p + 221)/15
Find s such that 4/5*s + 1/10*s**3 - 9/10*s**2 + 0 = 0.
0, 1, 8
Let w(z) be the first derivative of 3*z**2 - 7 - 1/4*z**4 + 1/3*z**3 + 0*z. Factor w(k).
-k*(k - 3)*(k + 2)
Let k(n) be the third derivative of n**8/140 - 232*n**7/525 - 47*n**6/25 - 68*n**5/25 - 41*n**4/30 - 4*n**2 - 82*n - 1. Let k(p) = 0. Calculate p.
-1, -1/3, 0, 41
Suppose 33 = 12*p - p. Let 598 + 187 - 896*l + 124*l**2 - 1809 - 7*l**3 + 3*l**p = 0. Calculate l.
-1, 16
Let t be (-4 - (0 - 3))*((-10)/1 + 9). Let i(y) be the first derivative of t + y - 2/3*y**3 + 1/5*y**5 + 0*y**4 + 0*y**2. Factor i(c).
(c - 1)**2*(c + 1)**2
Let h(y) = -4*y**2 - 52*y + 41. Let u(q) = -q**2 + q - 3. Let t(f) = h(f) - 5*u(f). Suppose t(m) = 0. What is m?
1, 56
Let r(f) = -6*f**2 + 4*f. Suppose 0 = 11*j + 14*j - 50. Let t(y) = y**3. Let x(l) = j*r(l) + 4*t(l). Factor x(a).
4*a*(a - 2)*(a - 1)
Let u(w) be the second derivative of w**7/105 - 2*w**5/5 + 64*w**3/15 - 2922*w. Let u(m) = 0. Calculate m.
-4, -2, 0, 2, 4
Let t(v) be the second derivative of v**5/40 + 13*v**4/32 + 39*v**3/16 + 55*v**2/8 +