late b.
0, 25
Factor -2*m**2 - 2*m**2 - 117*m + 257*m + 26 - 216*m + 54.
-4*(m - 1)*(m + 20)
Let x(k) be the second derivative of -5*k**4/12 + 10*k**3 + 70*k**2 - 5*k - 1. Find u such that x(u) = 0.
-2, 14
Let c(b) be the third derivative of b**7/1050 + b**6/150 + b**5/60 + b**4/60 + 2*b**2 + 6*b. Determine k, given that c(k) = 0.
-2, -1, 0
Let g be -2 + 5/(-3)*-3. Factor 2*x**2 - 5*x - x**2 - 11*x**2 - 5*x**g.
-5*x*(x + 1)**2
Let k be (0/(-3))/((-25)/(-100)*-28). Find s such that 0 - 1/5*s**3 + k*s - 2/5*s**2 = 0.
-2, 0
Suppose 4*l - 27 = -3. Factor 9*q**2 - 2*q**3 + 4*q**3 - l*q - 36 - 6*q**2 + 5*q**2.
2*(q - 2)*(q + 3)**2
Let q(y) be the third derivative of -1 - 5/6*y**3 - 33*y**2 + 11/48*y**4 - 1/120*y**5 + 0*y. Let q(p) = 0. Calculate p.
1, 10
Let d(t) be the second derivative of t**7/14 - 2*t**6/5 + 9*t**5/10 - t**4 + t**3/2 - t + 4. Solve d(j) = 0.
0, 1
Let v(t) be the second derivative of 0*t**4 + 0*t**2 + 6*t + 0 + 1/4*t**5 - 10/3*t**3. Factor v(z).
5*z*(z - 2)*(z + 2)
Suppose -15 = -83*g + 78*g. Let i(w) be the first derivative of -3 + 0*w - 1/4*w**4 - 1/3*w**g + 1/2*w**2 + 1/5*w**5. Solve i(t) = 0.
-1, 0, 1
Let k be (4/(-6))/((15/(-72))/5). Suppose 49*n + 0 + 21 + k*n**2 + 3 + 51*n = 0. Calculate n.
-6, -1/4
Determine c, given that -5/3 - 5*c + 50/3*c**2 = 0.
-1/5, 1/2
Let t(m) be the second derivative of 9*m**5/4 - m**4/4 - 15*m**3/2 + 3*m**2/2 + 14*m - 5. Factor t(q).
3*(q - 1)*(q + 1)*(15*q - 1)
Let a = -42 - -47. Suppose -4*s = -a*b - 15, b - 3*b = -3*s + 6. Factor 0*w + 0 + 8/3*w**5 + 0*w**3 - 2/3*w**4 + s*w**2.
2*w**4*(4*w - 1)/3
Let l = 2 + 24. Suppose -10 + l = 4*k. Factor 0*v**k - 6*v**3 - v**4 + 4*v**4.
3*v**3*(v - 2)
Let x(t) be the second derivative of 0*t**2 + 0*t**3 - 14*t - 1/5*t**5 + 0 + 1/3*t**4. Factor x(a).
-4*a**2*(a - 1)
Let a(l) be the second derivative of -2*l**7/63 - l**6/45 + 11*l**5/30 - 11*l**4/18 + l**3/3 - 312*l. Find f such that a(f) = 0.
-3, 0, 1/2, 1
Let p(d) = 11*d**3 - 52*d**2 - 218*d - 142. Let s(n) = 5*n**3 - 26*n**2 - 109*n - 72. Let h(j) = -6*p(j) + 13*s(j). Factor h(l).
-(l + 1)*(l + 4)*(l + 21)
Find w, given that -2/9*w**2 + 28/9*w - 10 = 0.
5, 9
Let s(f) be the third derivative of 0*f**3 + 0 - 1/108*f**4 + 0*f - 9*f**2 + 1/270*f**5. Factor s(c).
2*c*(c - 1)/9
Let u(d) be the first derivative of -7/18*d**4 + 0*d - 4/45*d**5 + 0*d**2 + 4/27*d**3 - 14 + 7/27*d**6. Determine j, given that u(j) = 0.
-1, 0, 2/7, 1
Suppose -7*z + 14 = -7. What is v in -24 - 4*v + 40*v**2 + v**3 + 2*v**3 + 0*v**3 - 15*v**z = 0?
-2/3, 1, 3
Let h(t) be the third derivative of t**6/1440 - t**4/96 - 7*t**3/6 - 3*t**2. Let z(l) be the first derivative of h(l). Determine a so that z(a) = 0.
-1, 1
Let p(b) be the second derivative of b**7/42 + b**6/5 + 13*b**5/20 + b**4 + 2*b**3/3 + 339*b. Factor p(g).
g*(g + 1)**2*(g + 2)**2
Let c = -48 + 51. Let 20*o - o**3 + 4 + 7*o**c - 7*o**4 + 21*o**2 - 8*o**3 = 0. Calculate o.
-1, -2/7, 2
Let f(n) be the third derivative of 0*n - 16/5*n**3 + 3/2*n**5 + 0 - 63/200*n**6 - 5*n**2 - 8/5*n**4. Factor f(c).
-3*(3*c - 4)**2*(7*c + 2)/5
Let v(d) be the third derivative of -d**5/80 - 37*d**4/32 - 9*d**3/2 - 7*d**2. Suppose v(y) = 0. Calculate y.
-36, -1
Let v(t) be the third derivative of -t**6/40 + 31*t**5/20 - 187*t**4/8 - 867*t**3/2 - 3*t**2 + 23. Factor v(c).
-3*(c - 17)**2*(c + 3)
Suppose -45 = -5*d - 5*o - 20, 0 = -4*d + 4*o + 20. Factor 30*n**2 + 35/2*n**3 - d + 15/2*n.
5*(n + 1)**2*(7*n - 2)/2
Let o(k) be the second derivative of k**7/399 - k**6/15 + 7*k**5/38 - 17*k**4/114 + k - 4. Find n, given that o(n) = 0.
0, 1, 17
Let p(h) be the third derivative of 40*h**2 + 0 - 27/8*h**3 + 0*h**4 + 1/20*h**6 + 9/40*h**5 + 1/280*h**7 + 0*h. Factor p(n).
3*(n - 1)*(n + 3)**3/4
Suppose 0 = 5*r + 2*f + 4 - 80, 2*r - 22 = -5*f. Factor 67 + 62 + r*d**3 + 4*d**2 - 133 - 16*d.
4*(d - 1)*(d + 1)*(4*d + 1)
Let n(s) = -s**2 - s + 5. Let i(l) = -l**2 - 4*l + 3. Let h(p) = -p**2 - 3*p + 4. Let a(u) = -3*h(u) + 2*i(u). Let w(z) = 3*a(z) + 4*n(z). Factor w(m).
-(m - 1)*(m + 2)
Let i = -11596 - -20698861/1785. Let b(s) be the third derivative of -12*s**2 + i*s**7 + 0 + 0*s + 0*s**5 + 0*s**6 + 1/2856*s**8 + 0*s**3 + 0*s**4. Factor b(m).
2*m**4*(m + 1)/17
Suppose 82/3*x + 0 + 2/3*x**2 = 0. What is x?
-41, 0
Let z(j) = -j**2 + 16*j - 15. Let c(m) = 8*m - 3 - 101*m**2 + 197*m**2 - 97*m**2 - 4. Let r(l) = -7*c(l) + 3*z(l). Factor r(n).
4*(n - 1)**2
Let k(y) be the first derivative of -y**8/210 - y**7/84 + y**6/90 + y**5/20 + 5*y**3/3 + 36. Let o(b) be the third derivative of k(b). Factor o(v).
-2*v*(v + 1)**2*(4*v - 3)
Let m(j) be the third derivative of -j**5/360 - 11*j**4/24 + 22*j**2 - 2. Solve m(n) = 0.
-66, 0
Factor -4/7*v**2 + 152/7*v - 288/7.
-4*(v - 36)*(v - 2)/7
Let b = 8085/4 + -2001. Suppose -9/2*k - 1/4*k**2 - b = 0. Calculate k.
-9
Let g = -2179 - -2179. Factor -2/3*t**3 + 2/3*t - 1/3 + 1/3*t**4 + g*t**2.
(t - 1)**3*(t + 1)/3
Let r(h) = -h**2 - 3*h + 2. Let z be r(-3). Suppose -4 - z*p**3 - p**3 + 7*p**3 - 12*p**2 + 12*p = 0. What is p?
1
Suppose -3*d - 3 = -9. Let b = 22466/3 + -7478. Factor -88/3*c**3 - 4/3*c + 0 - b*c**d - 12*c**5 - 32*c**4.
-4*c*(c + 1)**2*(3*c + 1)**2/3
Let z(a) be the second derivative of a**6/30 + a**5/5 - a**4/6 - 2*a**3 - 11*a**2/2 - 7*a. Let s(n) be the first derivative of z(n). Factor s(r).
4*(r - 1)*(r + 1)*(r + 3)
Factor -29 + 88/3*k - 1/3*k**2.
-(k - 87)*(k - 1)/3
Suppose -5*h - s = -3, 4*s - 3 = 3*h + 9. Let o = -721/2 - -362. Let h - o*a**3 + 3*a + 3/2*a**2 = 0. What is a?
-1, 0, 2
Determine a so that -605*a - 604*a - 5*a**4 + 1209*a - 50*a**2 + 35*a**3 = 0.
0, 2, 5
Factor 10/17*s + 28/17 - 2/17*s**2.
-2*(s - 7)*(s + 2)/17
Let o(f) = -f**4 - f**3 + f**2 + 1. Let i(q) = -q**4 + 4*q**3 + 11*q**2 + 6. Let g(p) = i(p) - 6*o(p). Factor g(h).
5*h**2*(h + 1)**2
Let x(h) = 2*h**2 + 12*h - 78. Let n be x(4). Let f = 8354/5 + -1659. Find c, given that 11/5*c + 3*c**4 - 6/5 + 39/5*c**n - f*c**3 = 0.
-2/5, 1/3, 1, 3
Let i be 54 + (0 + 0 - 0). Let o be 50/18 - (-12)/i. Let h**3 - 3*h**3 - 2*h - 5*h**o - 9*h**2 + 0*h**3 = 0. Calculate h.
-1, -2/7, 0
Let j = -10730/21 + 511. Let f(u) be the third derivative of -1/210*u**5 + 0*u - j*u**4 - 7*u**2 + 0 - 1/7*u**3. Factor f(l).
-2*(l + 1)*(l + 3)/7
Let x(o) = 4*o - 4. Let s be x(3). Let r be (4 - s) + 5/(15/18). Find c, given that 3/2 - 5/2*c**2 + c - r*c**3 = 0.
-1, 3/4
Determine i so that 23*i - 63*i**3 - 106 + 100*i**2 + 21*i - 4*i**4 - 4*i + 23*i**3 + 10 = 0.
-12, -1, 1, 2
Let c(t) = 5*t**2 + 202*t + 6. Let h(v) = -20*v**2 - 809*v - 27. Let d(m) = -9*c(m) - 2*h(m). Solve d(f) = 0.
-40, 0
Let w be (20/(-5) + 12)/2. Factor 56*q**w + 57*q**4 - 117*q**4 + 4*q**2.
-4*q**2*(q - 1)*(q + 1)
Let h(s) = 39*s**3 + 189*s**2 + 351*s + 219. Let d(j) = 2*j**3 + j**2 + j + 3. Let u(r) = -18*d(r) + h(r). What is g in u(g) = 0?
-55, -1
Let k(d) = -d**2 - 4*d + 7. Let h be k(-5). Find f, given that -17*f**h - f**3 + 4*f**3 + 10*f**2 + 27*f - 11*f**2 = 0.
0, 3
Let a(t) be the third derivative of -t**7/105 + 3*t**6/20 + t**5/30 - 3*t**4/4 + 25*t**2 + 3. Suppose a(l) = 0. What is l?
-1, 0, 1, 9
Let h(k) be the first derivative of k**4/4 - 13*k**3/3 + 11*k**2/2 + 14*k + 9. Let t be h(12). Find c, given that 8*c**3 + 2*c**t + 3*c**3 - c**3 - 12*c**3 = 0.
0, 1
Find t, given that 2/5*t**3 - 2*t**2 + 16/5*t - 8/5 = 0.
1, 2
Let b(d) be the third derivative of -1/10*d**5 - 26 + 2/3*d**3 - 2*d**2 + 1/45*d**6 + 0*d - 1/36*d**4. Factor b(s).
2*(s - 2)*(s - 1)*(4*s + 3)/3
Let t(k) be the second derivative of 0*k**3 + 1/4*k**4 - 1/8*k**6 + 0 - 4*k + 0*k**2 + 3/10*k**5. Determine l so that t(l) = 0.
-2/5, 0, 2
Let m(y) be the first derivative of -y**6/30 - 7*y**5/100 - y**4/30 - 16*y + 17. Let z(c) be the first derivative of m(c). Suppose z(t) = 0. Calculate t.
-1, -2/5, 0
Let n be (-2)/(-9) - 2/9. Let 2/5*s**3 - 3/5*s**4 + 0*s + 0*s**2 - 4*s**5 + n = 0. Calculate s.
-2/5, 0, 1/4
Let f(v) be the third derivative of 4*v**7/105 + 11*v**6/6 + 323*v**5/10 + 4693*v**4/24 - 6859*v**3/6 + 221*v**2. Suppose f(q) = 0. What is q?
-19/2, 1
Let u(g) be the second derivative of -g**6/10 + 3*g**4/2 + 4*g**3 + 9*g**2/2 - g - 47. Factor u(c).
-3*(c - 3)*(c + 1)**3
Let k = -25218 - -151309/6. Factor 11/6*t**2 - k*t**4 - 3*t + 4/3 + 0*t**3.
-(t - 2)*(t - 1)**2*(t + 4)/6
Let b be -