(i) be the third derivative of 1/40*i**6 + f*i**5 + 0*i - 3/8*i**4 + i**3 + 2*i**2 + 0. Solve p(q) = 0 for q.
-2, 1
Let x = 59 - 59. Suppose t + x*t = -t. Factor -2/5*c + t - 2/5*c**3 - 4/5*c**2.
-2*c*(c + 1)**2/5
Let k(n) be the first derivative of n**4/20 + 8*n**3/15 + 6*n**2/5 + 806. Factor k(a).
a*(a + 2)*(a + 6)/5
Let h(s) = s**2 + 3*s - 8. Let t be h(-5). Determine b so that -4*b**t - 6*b - 16 + 18*b + 0*b + 4*b = 0.
2
Let d(b) be the second derivative of b**7/3780 + b**6/270 + b**5/60 - 3*b**4/2 + 6*b. Let u(h) be the third derivative of d(h). Suppose u(p) = 0. Calculate p.
-3, -1
Factor 0 + 1/4*q**2 + 1/2*q.
q*(q + 2)/4
Suppose 599 - 565 = 17*h. Factor 0 - 3/2*g**4 + 3/2*g**h + 3/2*g**3 - 3/2*g.
-3*g*(g - 1)**2*(g + 1)/2
Suppose 4*v + 80 = -0*v. Let d = v + 25. Solve 2*j - 6 - d*j - 3*j**2 - j + 5*j**2 = 0 for j.
-1, 3
Let o(d) be the second derivative of -d**5/50 + d**3/5 - 2*d**2/5 + 5*d + 1. Factor o(g).
-2*(g - 1)**2*(g + 2)/5
Let d(g) be the second derivative of g**4/24 + 17*g**3/12 + 21*g**2/2 - 173*g. Factor d(q).
(q + 3)*(q + 14)/2
Let u(h) = -h**2 - 6*h - 4. Let k be u(-6). Let v(w) = w - 1. Let m(t) = -4*t**2 - 8*t + 12. Let s(i) = k*v(i) - m(i). Determine z so that s(z) = 0.
-2, 1
Let j(g) be the first derivative of 45/14*g**4 - 150/7*g**3 + 375/7*g**2 + 21 - 6/35*g**5 + 0*g. Determine s so that j(s) = 0.
0, 5
Suppose 4*w = 11*w - 14. Let d be (0/1)/((-11 + w)/(-3)). Factor 2/15*c**4 - 2/5*c**2 - 4/15*c + 0 + d*c**3.
2*c*(c - 2)*(c + 1)**2/15
Let r(o) = -8*o**2 - 4*o - 8. Let h = 33 - 28. Let n(p) = 7*p**2 + 4*p + 7. Let y(j) = h*r(j) + 6*n(j). Let y(g) = 0. Calculate g.
-1
Let h(i) be the first derivative of -4*i**5/5 + i**4 + 4*i**3/3 - 2*i**2 + 150. Factor h(b).
-4*b*(b - 1)**2*(b + 1)
Let i(w) be the third derivative of w**5/12 + 25*w**4/24 - 5*w**3 + 5*w**2 + 2. Determine q so that i(q) = 0.
-6, 1
Let n(d) = d**2 - 10*d - 13. Let s be n(11). Let v(l) = -l**2 - 3*l. Let u be v(s). Factor -f**4 + 0*f**3 + u*f**4 - f**3.
f**3*(f - 1)
What is s in -1452 - 88*s - 4/3*s**2 = 0?
-33
Suppose -34 = -4*b - 2*d - 10, -3*b + 21 = 3*d. Let l(t) be the second derivative of -4/45*t**6 + 0*t**2 - 1/18*t**4 - b*t + 0 + 1/6*t**5 + 0*t**3. Factor l(o).
-2*o**2*(o - 1)*(4*o - 1)/3
Suppose -q + 3*q = -15*q. Let s(m) be the second derivative of 1/36*m**4 - 1/60*m**5 - 8*m + 0*m**2 + q*m**3 + 0. Factor s(h).
-h**2*(h - 1)/3
Suppose -4*u = 5*q - 0 - 62, -4*q - 2*u + 46 = 0. Suppose -q = 4*s - 6*s. What is x in 6*x**5 - 4*x**3 - 6*x**4 - 5*x**5 - 3*x**s = 0?
-2, -1, 0
Let y(m) = -m**4 - m**3 + m**2 + m + 3. Let r(h) = 5*h**4 - 30*h**3 + 208*h**2 + 1326*h + 1071. Let t(u) = r(u) + 4*y(u). Determine a, given that t(a) = 0.
-3, -1, 19
Let y(v) = -2*v**2 - 92*v + 84. Let o(d) = d + 4. Let g(f) = -2*o(f) - y(f). Find t such that g(t) = 0.
-46, 1
Let z(d) be the first derivative of d**5/10 + 3*d**4/2 + 26*d**3/3 + 24*d**2 + 32*d + 73. Factor z(i).
(i + 2)**2*(i + 4)**2/2
Let a = -114 + 117. Let u(x) be the second derivative of 1/20*x**4 + 2*x + 1/5*x**a - 9/10*x**2 + 0. What is c in u(c) = 0?
-3, 1
Let t(i) = 3*i**2 - i - i**2 - i**2 - i**3. Let d(g) = 2*g**4 - g**2 + g. Let b = -280 - -277. Let s(n) = b*d(n) - 3*t(n). Let s(l) = 0. Calculate l.
0, 1/2
Let p = 29 - 34. Let v = -9/2 - p. Factor 3*k**2 + 6*k + v*k**3 + 4.
(k + 2)**3/2
Suppose -5*q - 3*q = -16. Solve q*s**3 - 7*s**3 + 3*s**2 + 2*s**2 - 5*s + 5*s**2 = 0 for s.
0, 1
Let g(y) = 14*y**3 + 23*y**2 + 29*y. Let d(j) = -6*j**3 - 12*j**2 - 14*j. Let c(s) = -10*d(s) - 4*g(s). Determine f, given that c(f) = 0.
-6, -1, 0
Suppose 20*r - 11*r = -22*r - 2*r. Factor 1/3*g**2 - 4/3 + r*g.
(g - 2)*(g + 2)/3
Let q be (2/(-12))/((-15)/12) + 776/1455. What is j in -1/3*j - q*j**3 + 7/6*j**2 - 1/6 = 0?
-1/4, 1
Factor 0 + 5/6*r**2 - 385/6*r.
5*r*(r - 77)/6
Let a(o) be the first derivative of -1/3*o**4 + 0*o + 0*o**2 + 0*o**3 - 22 - 2/15*o**5. Let a(v) = 0. What is v?
-2, 0
Let p(q) = -5*q**2 - 2*q**3 + q**3 - 2*q + 0*q - 5 - 2. Let h be p(-5). Determine t, given that t**4 - t**5 + 3*t**3 - 4*t**h + 2*t**5 - t**2 = 0.
-1, 0, 1
Let n(l) be the first derivative of -l**5/80 - l**4/16 - l**3/8 - 10*l**2 + 23. Let o(q) be the second derivative of n(q). Factor o(f).
-3*(f + 1)**2/4
Let r = 2105 - 113669/54. Let t(h) be the second derivative of -1/9*h**3 - r*h**4 + 0 - 2/9*h**2 - 11*h. Factor t(q).
-2*(q + 1)*(q + 2)/9
Let q(x) = -55*x + 11 + 55*x**3 - 7 + 54 - 55*x**2 - 3. Let d(l) = 5*l**3 - 5*l**2 - 5*l + 5. Let v(b) = -45*d(b) + 4*q(b). Solve v(h) = 0.
-1, 1
What is c in -247*c**4 - 241*c**3 + 70*c**3 + 51*c**4 - 128*c**2 - 16*c - 137*c**3 = 0?
-1, -2/7, 0
Factor 105493 - 105493 - 48*a**4 + 144*a**3 - 128*a**2 + 4*a**5.
4*a**2*(a - 8)*(a - 2)**2
Let q(n) be the first derivative of -1/3*n**3 + 19 - 7/2*n**2 + 0*n. Let q(w) = 0. Calculate w.
-7, 0
Suppose g - l = 0, 2*g - 15 = -3*l + 2*l. Factor -3*r**4 + 2*r**2 - 3*r**3 + 0*r**2 + r**2 - r**5 + 4*r**g.
3*r**2*(r - 1)**2*(r + 1)
Let q(x) be the third derivative of -22*x**2 + 0*x + 1/280*x**7 + 3/32*x**4 - 3/160*x**6 + 0 - 1/80*x**5 + 0*x**3. Find k, given that q(k) = 0.
-1, 0, 1, 3
Let f(n) be the second derivative of n**5/70 + 11*n**4/42 + 8*n**3/7 - 36*n**2/7 - 168*n. Factor f(m).
2*(m - 1)*(m + 6)**2/7
Suppose -4*k = -0*k - 4*b - 40, 5 = -5*b. Factor -8 + 2*q**4 - 2*q**3 + 5*q + k*q**2 - 3*q**2 - 6*q**3 + 3*q.
2*(q - 2)**2*(q - 1)*(q + 1)
Let b(c) be the second derivative of -c**8/1680 + c**7/126 - 11*c**4/12 + c**2/2 + 31*c. Let s(j) be the third derivative of b(j). Let s(u) = 0. Calculate u.
0, 5
Let z = -111/5 - -781/35. Let i(p) be the first derivative of -1/14*p**4 + 5 + 0*p**2 + 0*p**3 + z*p**5 + 0*p - 1/21*p**6. Let i(t) = 0. Calculate t.
0, 1
Let q(p) be the first derivative of 2*p**5 + 4*p**4 - 4*p**3 - 16*p**2 - 14*p + 196. Factor q(h).
2*(h + 1)**3*(5*h - 7)
Suppose -4*i = -3*i + 3*t - 16, -2*i + 5*t = -10. Suppose -8 = -9*v + i. Let -4/3*q**v + 2/9*q**3 + 8/3*q - 16/9 = 0. Calculate q.
2
Let f be 2/(-1) - (2 + -9). Suppose -3*l + 0*d = -d - 3, -2*d = -f*l + 6. Suppose 4*k**2 - 2*k**3 - 3*k + k + l*k**2 = 0. What is k?
0, 1
Find x such that -48/11*x**2 + 6/11*x**5 + 16/11*x**3 - 32/11*x + 26/11*x**4 + 32/11 = 0.
-2, 2/3, 1
Let k be (55/(-22) - 3) + 6. Factor k*n**2 + 1 - 3/2*n.
(n - 2)*(n - 1)/2
Solve 50/3*r**3 + 140/3*r**2 - 3*r**5 - 35*r - 10*r**4 + 6 = 0 for r.
-3, 1/3, 2
Suppose 5*a + 63 - 18 = 4*k, 2*a = -2*k. Determine d, given that -11*d**k + 15872*d - d**3 - 15873*d - 6*d**2 - 5*d**5 + 24*d**4 = 0.
-1/4, 0, 1
Let o be 2/(10 + 114/(-12)). Solve -1 + o*x**3 - 31/4*x - 14*x**2 = 0.
-1/4, 4
Let g(b) be the third derivative of 0*b - 27*b**2 + 1/30*b**6 + 8/105*b**7 + 0*b**3 - 4/15*b**5 + 0 - 1/6*b**4. Let g(k) = 0. Calculate k.
-1, -1/4, 0, 1
Let k be (24/112)/(9/21). Let v = -21/2 - -11. Factor -v*u**5 + 3/2*u**4 + 0 + 0*u - 3/2*u**3 + k*u**2.
-u**2*(u - 1)**3/2
Let t be (14/8)/((-7)/(-28)). Suppose 0 = 2*h - 2*y - 2, 0 = t*h - 11*h + y + 1. Factor -1/2*j**2 - 1/2*j + h.
-j*(j + 1)/2
Suppose 2*y + 1 = 5. Suppose 195*o - 196*o = -3. Let 0 - 2/5*z**4 + 6/5*z**o - 6/5*z**y + 2/5*z = 0. Calculate z.
0, 1
Suppose -4*t - 1 = -6*t - i, -t + 5*i = -28. Find r, given that 0 + 2/5*r**4 - 8/5*r**t + 8/5*r**2 + 0*r = 0.
0, 2
Let p(y) be the first derivative of -5*y**4/24 + 35*y**3/9 - 245*y**2/12 + 117. Factor p(m).
-5*m*(m - 7)**2/6
Factor 1/5*u**2 + 14/5*u + 0.
u*(u + 14)/5
Let k(d) be the first derivative of d**6/3 - 3*d**4/2 + 4*d**3/3 + 7. Suppose k(y) = 0. Calculate y.
-2, 0, 1
Suppose -149*h = -146*h. Factor -6 + 2*k + 2*k**4 + h*k**4 + 14*k - 12*k**2.
2*(k - 1)**3*(k + 3)
Factor 168/5*a + 1/5*a**2 + 7056/5.
(a + 84)**2/5
Let p = 15/634 - -3429/15850. Factor p*z - 2/25*z**4 + 2/5*z**3 - 14/25*z**2 + 0.
-2*z*(z - 3)*(z - 1)**2/25
Let j(m) be the first derivative of 4*m**3/3 - 72*m**2 + 272*m + 367. Determine h, given that j(h) = 0.
2, 34
Let b(u) be the third derivative of u**6/320 - 21*u**5/160 - 27*u**4/8 - 29*u**3 + 161*u**2. Determine d so that b(d) = 0.
-4, 29
Let b(j) be the second derivative of -14*j**6/15 - j**5 + 2*j**4/3 - 307*j. Factor b(p).
-4*p**2*(p + 1)*(7*p - 2)
Let u(i) be the third derivative of 2*i**7/105 + i**6/5 + 11*i**5/15 + i**4 + 22*i**2. Factor u(y).
4*y*(y + 1)*(y + 2)*(y + 3)
Let r = -41 - -46. Let o(s) be the third deri