- 1040*k**2 + 4145*k - 4165. Let l(f) = -b(f) + 5*x(f). Find o such that l(o) = 0.
-209, 2
Let o = 302242 - 1511192/5. Find g, given that 0 - o*g**5 + 48/5*g**2 - 6/5*g**3 + 24/5*g - 48/5*g**4 = 0.
-2, -1, -2/3, 0, 1
Let l(s) = 45*s**3 - 335*s**2 + 610*s - 330. Let b(h) = 2*h**3 - 5*h**2 + h - 1. Let d(p) = 30*b(p) - l(p). Factor d(o).
5*(o - 2)*(o + 15)*(3*o - 2)
Let r(o) be the third derivative of -o**5/105 + 1457*o**4/42 + o**2 + 175*o + 1. Solve r(c) = 0 for c.
0, 1457
Let t(l) be the third derivative of l**6/30 - 393*l**5/5 + 57820*l**4 + 696200*l**3/3 - 2604*l**2. Factor t(y).
4*(y - 590)**2*(y + 1)
Let v(m) be the third derivative of -m**5/300 + 481*m**4/60 - 231361*m**3/30 - 2836*m**2. Determine b, given that v(b) = 0.
481
Let o(h) be the second derivative of -67*h + 0 + 1/80*h**5 + 0*h**2 + 0*h**3 - 1/12*h**4. Solve o(r) = 0.
0, 4
Suppose -5*y = -4*a - 4, -6 + 50 = -4*a - 5*y. Let x be 25/(-50)*(a + 0). What is s in 0 + 8 + s**4 + s - 8 + 2 - 3*s**2 - s**x = 0?
-1, 1, 2
Let d(t) be the second derivative of -1/50*t**5 + 145*t + 0*t**2 - 2/5*t**3 + 0 + 7/30*t**4. Factor d(c).
-2*c*(c - 6)*(c - 1)/5
Let z(s) be the first derivative of -s**3/7 + 48*s**2/7 - 768*s/7 - 25. Factor z(n).
-3*(n - 16)**2/7
Let o = 356116 - 356112. Find a such that 0 + 174/5*a**2 + 36/5*a + 42*a**o + 10*a**5 + 298/5*a**3 = 0.
-2, -1, -3/5, 0
Let a(p) be the second derivative of -p**6/165 - 399*p**5/55 + 400*p**4/11 - 2402*p**3/33 + 801*p**2/11 - 200*p - 7. Factor a(m).
-2*(m - 1)**3*(m + 801)/11
Let -12/13*l - 2/13*l**2 - 10/13 = 0. What is l?
-5, -1
Let d(x) = 3*x**5 + 15*x**4 + 150*x**3 - 5*x + 5. Let b(v) = -2*v**5 - 7*v**4 - 75*v**3 + 3*v - 3. Let z(n) = -5*b(n) - 3*d(n). Suppose z(f) = 0. Calculate f.
-5, 0, 15
Let c be 8/8*(1 - -2). Let j = 5 - c. Factor -5*a**3 - a + 8*a**2 - 5*a**4 - 3*a**j + a + 5*a.
-5*a*(a - 1)*(a + 1)**2
Factor 2/5*j**2 + 1994/5*j - 3996/5.
2*(j - 2)*(j + 999)/5
Let c = -663 + 740. Suppose 6 = -c*g + 6. Determine t, given that -2/3 + g*t + 2/3*t**2 = 0.
-1, 1
Let s be 8/20*(0 - 1)/(-24). Let b(p) be the third derivative of -6*p**2 + 0 + 0*p**3 + s*p**5 + 0*p - 1/240*p**6 - 1/48*p**4. Solve b(g) = 0 for g.
0, 1
Let k(p) be the first derivative of p**6/7 + 234*p**5/35 - 255*p**4/14 - 246*p**3/7 - 4117. Solve k(s) = 0.
-41, -1, 0, 3
Let d(l) be the third derivative of 0*l**3 + 0 + 1/4*l**5 - 1/24*l**6 + 4*l**2 + 25/12*l**4 + 0*l. Factor d(f).
-5*f*(f - 5)*(f + 2)
Let y(l) = l**3 - 3*l**2 - 2*l - 4. Let b(o) = -285*o + o**3 + 576*o - 4*o**2 - 6 - 293*o. Let i(n) = 2*b(n) - 3*y(n). Factor i(t).
-t*(t - 2)*(t + 1)
Let c(m) be the third derivative of m**6/280 + 59*m**5/140 + 4*m**4 + 110*m**3/7 - 1604*m**2 + 2. Factor c(j).
3*(j + 2)**2*(j + 55)/7
Let f be 20/(-25) - 96/(-20). Factor -594*h + 590*h - 3*h**4 - h**f + 2*h**4 + 6*h**2.
-2*h*(h - 1)**2*(h + 2)
Let b(s) be the first derivative of s**4/14 - 46*s**3/21 - 20*s**2 + 2802. Solve b(q) = 0 for q.
-5, 0, 28
What is d in -285/7*d**3 - 972/7*d - 48/7*d**4 - 432/7 - 3/7*d**5 - 780/7*d**2 = 0?
-6, -4, -3, -2, -1
Let v(p) be the first derivative of -p**5/120 - p**4/16 - p**3/6 + 29*p**2 - 70. Let t(h) be the second derivative of v(h). Solve t(m) = 0.
-2, -1
Let a = 2999 + -2999. Let n(v) be the third derivative of 1/144*v**6 + 0*v**3 - 1/36*v**5 + a - 7*v**2 + 0*v + 5/144*v**4. Suppose n(u) = 0. What is u?
0, 1
Let r(l) be the first derivative of 3*l**4/8 + 1403*l**3/2 + 1478409*l**2/4 + 1474203*l/2 - 3325. Factor r(i).
3*(i + 1)*(i + 701)**2/2
Let p(u) = -16*u**2 - 52*u - 2. Let d(v) = 9*v**2 + v + 1. Let q(i) = -2*d(i) - p(i). Find l such that q(l) = 0.
0, 25
Factor 10/3 - 4/3*p**2 - p.
-(p + 2)*(4*p - 5)/3
Let y(p) be the third derivative of 34*p**2 - 7/48*p**6 + 1/24*p**7 - 15/8*p**3 + 0*p + 25/32*p**4 - 5/1344*p**8 + 0 + 1/24*p**5. Solve y(z) = 0.
-1, 1, 3
Let 3/5*b**2 + 87/5*b + 234/5 = 0. What is b?
-26, -3
Let w(j) be the second derivative of -j**5/80 + 5*j**4/48 + 2*j**3/3 - 10*j**2 + 1250*j - 1. Factor w(a).
-(a - 5)*(a - 4)*(a + 4)/4
Let 43/10*f - 9 + 1/10*f**2 = 0. Calculate f.
-45, 2
Let j be (-75)/(-4) - (-75)/60. Let m be -12*(2/j)/((-6)/4). Let 16/5*w**4 - 16/5*w**2 + 3/5*w**3 + 0 - 7/5*w**5 + m*w = 0. What is w?
-1, 0, 2/7, 1, 2
Solve 0*t**4 - 508*t**2 + 80*t**3 + 147646*t + 0*t**4 - 146494*t - 4*t**4 - 720 = 0 for t.
1, 3, 6, 10
Factor -369*f - 27/4*f**2 - 5043.
-3*(3*f + 82)**2/4
Let o(j) = j**3 + 5*j**2 - 8*j - 18. Let p(v) = 2*v**3 + 10*v**2 - 16*v - 37. Let l = 678 - 684. Let s(t) = l*p(t) + 13*o(t). Determine x so that s(x) = 0.
-6, -1, 2
Let c(s) be the third derivative of -s**6/1440 - 11*s**5/45 + 899*s**4/288 - 181*s**3/12 + 10*s**2 - 151*s. Factor c(h).
-(h - 3)*(h - 2)*(h + 181)/12
Let h(g) be the first derivative of -2*g**5/25 + 27*g**4/5 + 72*g**3 + 1674*g**2/5 + 3402*g/5 - 829. Factor h(o).
-2*(o - 63)*(o + 3)**3/5
Factor 1/3*j**3 + 120 - 58*j - 5/3*j**2.
(j - 15)*(j - 2)*(j + 12)/3
Let s(q) = 2*q**2 + 2. Let f(z) = -3*z**2 - 10*z - 3. Let g(u) = f(u) + 4*s(u). Suppose g(l) = 0. What is l?
1
Let q(r) be the second derivative of -r**7/21 + 6*r**6/5 - 52*r**5/5 + 107*r**4/3 - 61*r**3 + 56*r**2 + 8*r + 8. Factor q(u).
-2*(u - 8)*(u - 7)*(u - 1)**3
Let h(q) = -22*q**3 + 6*q**2 - 77*q - 156. Let r(t) = -36*t**3 + 10*t**2 - 153*t - 316. Let i(c) = 5*h(c) - 3*r(c). Find s such that i(s) = 0.
-4, -3, 7
Let y(l) be the first derivative of 2*l + 1/2*l**2 - l**3 + 92. Suppose y(k) = 0. Calculate k.
-2/3, 1
Suppose 9/2*t**3 + 309*t**2 - 418*t + 140 = 0. What is t?
-70, 2/3
Suppose z = 2, 9*z = -2*f + 5*z - 382. Let l = f - -199. Factor 0*w + 1/2*w**2 + 1/2*w**3 + 0 - 1/2*w**l - 1/2*w**5.
-w**2*(w - 1)*(w + 1)**2/2
Let x be (195/(-117))/((-28)/(-48) - 1). Let d(a) be the second derivative of 21*a + 0 + 0*a**2 + 2/15*a**x - 1/50*a**5 - 4/15*a**3. Solve d(i) = 0 for i.
0, 2
Let z(b) be the second derivative of b + 12 + 1/30*b**5 + 0*b**2 - 2/45*b**6 + 1/63*b**7 + 0*b**4 + 0*b**3. Factor z(t).
2*t**3*(t - 1)**2/3
Find t such that -18*t**4 + 2537*t - 1171*t - 84*t**3 + 18*t**2 + 3*t**5 - 1285*t = 0.
-3, -1, 0, 1, 9
Suppose -4*v + 176 = -4*a - 6*v, -3*v - 12 = 0. Let y be (-3)/(a/4) + 36/21. Suppose 1/3*n**3 - 4/3 - y*n**2 + 3*n = 0. Calculate n.
1, 4
Let v be (-8)/(-12) - ((-322)/3 + 3). Let l = v + -89. Let 0*b**3 - 7*b**3 + 6*b**3 - 16*b + 5*b**3 + l - 4*b**2 = 0. Calculate b.
-2, 1, 2
Let p(u) = -10*u - 116. Let r be p(-12). Let -5143 + r*z**2 - z + z + 5127 = 0. Calculate z.
-2, 2
Factor -262/7*v**2 - 839/7*v - 5/7*v**3 - 42.
-(v + 3)*(v + 49)*(5*v + 2)/7
Let f(b) be the third derivative of -b**5/420 + 181*b**4/42 - 65522*b**3/21 + 2*b**2 + 631*b. Factor f(i).
-(i - 362)**2/7
Let g(h) be the first derivative of -3*h**5/5 - 9*h**4/2 + 31*h**3 + 234*h**2 - 540*h - 2123. Solve g(o) = 0 for o.
-6, 1, 5
Let p = 100056 + -100053. Factor 1/6*y**4 - 1/2*y**2 - 4/3 - 7/3*y + 2/3*y**p.
(y - 2)*(y + 1)**2*(y + 4)/6
Let o(v) be the first derivative of 11*v**6/18 - 86*v**5/15 + 79*v**4/4 - 262*v**3/9 + 38*v**2/3 + 8*v - 2438. Determine u so that o(u) = 0.
-2/11, 1, 2, 3
Let j = 566/27 - 131027/108. Let x = -1192 - j. Factor 27/4*i**2 - 9/4*i**3 + x*i - 3/4.
-(i - 3)*(3*i - 1)*(3*i + 1)/4
Suppose 649*w - 3073 = 91*w - 283. Factor 0 + 2/13*h**w - 4/13*h**4 + 2/13*h**3 + 0*h**2 + 0*h.
2*h**3*(h - 1)**2/13
Let r(p) = 2*p**4 - 11*p**3 - 15*p**2 - 4*p + 10. Let h(g) = -16*g**4 + 87*g**3 + 119*g**2 + 28*g - 80. Let l(q) = -6*h(q) - 46*r(q). Solve l(c) = 0 for c.
-1, 1, 5
Let s(r) be the second derivative of 11*r**6/30 + 15*r**5/4 + 59*r**4/6 - 4*r**3 - 2900*r. Determine t, given that s(t) = 0.
-4, -3, 0, 2/11
Let d(k) be the second derivative of -k**6/135 + 73*k**5/45 - 4873*k**4/54 - 11096*k**3/9 - 5776*k**2 - 13*k + 141. Solve d(g) = 0 for g.
-3, 76
Factor -215392/7*j - 1948*j**2 + 774192/7 - 28*j**3.
-4*(j - 3)*(7*j + 254)**2/7
Let v(l) = -l**3 + 23*l**2 - 30*l - 184. Let i be v(4). Factor i + 0*u + 2/13*u**3 - 12/13*u**2.
2*u**2*(u - 6)/13
Let a(c) be the first derivative of -2/9*c**3 + 8/21*c + 4/7*c**2 + 80. Factor a(r).
-2*(r - 2)*(7*r + 2)/21
Factor -2*r**4 + 27966 - 27966 + 18*r**3 - 72*r + 8*r**2.
-2*r*(r - 9)*(r - 2)*(r + 2)
Suppose 0 = -3*t - 4*z + 11, -2*z - 13 = -5*t + 14. Let j(h) = 5*h - 20. Let f be j(t). Determine m so that -4*m - f + 16 - 3 - 5*m + m**2 = 0.
1, 8
Suppos