 - 4/3 - 2*q = 0.
-2
Let s(u) = 13*u**4 - 64*u**3 + 122*u**2 - 62*u + 3. Let j(x) = 4*x**4 + x**3 - 3*x**2 + x + 1. Let w(z) = 6*j(z) - 2*s(z). Let w(k) = 0. Calculate k.
0, 1, 65
Let f = -5297/6 + 2656/3. Let u(o) be the first derivative of 22 + 2/5*o**5 - 16*o + f*o**4 + 4*o**3 - 4*o**2. Determine x, given that u(x) = 0.
-2, 1
Let l be (-6)/24 + (-26)/(-8). Let x(r) be the first derivative of -l*r**3 - 59*r + 2*r**3 + 18*r**2 - 49*r + 28. Find m, given that x(m) = 0.
6
Let s(d) be the first derivative of 66*d**5/7 - 289*d**4/14 - 160*d**3/21 - 4*d**2/7 - 2816. Let s(w) = 0. What is w?
-2/11, -1/15, 0, 2
Find q such that -3/4*q**4 + 9/4*q**2 - 141*q**3 + 282 + 849/2*q = 0.
-188, -1, 2
Let v be 0*(0 + 2/(0 + 2)). Suppose v = 2*x - 6*x + 12. Factor 24*i**2 + 27 - 31*i - 3*i**2 + 3*i**x + 76*i.
3*(i + 1)*(i + 3)**2
Let j be (-30933)/(-81) - 1/(-9). Let x be -7 + (-51)/68 + j/40. Determine z, given that -6/5*z**4 + 1/5*z**5 - 16/5*z**2 - 2/5 + 14/5*z**3 + x*z = 0.
1, 2
Solve -2/13*f**2 - 2084882/13 - 4084/13*f = 0 for f.
-1021
Let u(k) = -k**2 + 331*k - 1627. Let y be u(5). Let s(v) be the first derivative of -28 + 20*v - 20*v**2 - 25/3*v**y. Find b, given that s(b) = 0.
-2, 2/5
Let m(a) = -a**2 - 12*a - 17. Let k be m(-10). Factor -5 + 81*p**2 - 84*p**2 + 4 + p**k + 1.
p**2*(p - 3)
Let r(t) be the first derivative of 25*t**4/4 - 560*t**3/3 + 1850*t**2 - 6000*t + 424. Factor r(p).
5*(p - 10)**2*(5*p - 12)
Factor 2/9*n**3 + 244/9*n**2 + 242/9*n + 0.
2*n*(n + 1)*(n + 121)/9
Factor -352 - 1/11*t**3 + 86/11*t**2 - 160*t.
-(t - 44)**2*(t + 2)/11
Let t(p) be the first derivative of 2*p**3/3 - 410*p**2 - 822*p - 5476. Find b, given that t(b) = 0.
-1, 411
Let f(v) be the second derivative of v**4/42 + 610*v**3/3 + 651175*v**2 + 1290*v. Factor f(w).
2*(w + 2135)**2/7
Let p(s) be the second derivative of s**4/3 + 20*s**3 - 1008*s**2 + 156*s + 3. Find m such that p(m) = 0.
-42, 12
Let z be 3380/140 + -20 - ((-13)/7 - -2). Let -65/3*n**2 - 35/3*n**z + 0 + 130/3*n**3 - 10*n = 0. What is n?
-2/7, 0, 1, 3
Suppose -4*r = -3*j + 7*j - 24, -2*r = -3*j + 3. Determine n so that -1/2 - n + n**j + 0*n**2 + 1/2*n**4 = 0.
-1, 1
Find o, given that -15/4*o**3 - 51/4*o**2 - 12*o - 3 = 0.
-2, -1, -2/5
What is z in 8/23*z**5 - 396/23*z + 286/23*z**2 + 88/23*z**3 - 66/23*z**4 + 80/23 = 0?
-2, 1/4, 1, 4, 5
Let m = 3331 - 5564. Let c = m - -2383. Factor -65*d + 125/3*d**3 + c*d**2 + 20/3.
5*(d + 4)*(5*d - 1)**2/3
Let d(m) be the third derivative of m**6/660 + 13*m**5/165 + 151*m**4/132 + 42*m**3/11 - m**2 - 5741. Factor d(t).
2*(t + 1)*(t + 7)*(t + 18)/11
Let x(v) be the third derivative of v**5/12 + 45*v**4/2 - 241*v**2. Find t, given that x(t) = 0.
-108, 0
Factor 218*u**2 - 71*u**2 + 3201*u - 2919*u + 2*u**3 + u**3.
3*u*(u + 2)*(u + 47)
Let z = 3673/651900 - 5/2173. Let n(y) be the third derivative of 4/15*y**3 - 1/525*y**7 + 0 - 11/60*y**4 - z*y**6 + 6*y**2 + 0*y + 3/50*y**5. Solve n(s) = 0.
-4, 1
Let n(t) be the second derivative of t**5/4 + 515*t**4/2 + 106090*t**3 + 21854540*t**2 + 1024*t + 1. Factor n(o).
5*(o + 206)**3
Suppose -12*j + 14*j - 5962 = -2*v, -5*v + 3*j + 14873 = 0. Suppose 10 = 2982*o - v*o. Determine x so that 2/15*x**o - 16/15*x + 32/15 = 0.
4
Suppose -3*t + 10 = -2*c + t, 0 = 2*c - 2*t. Factor 9*g**2 + 0*g**3 - 4*g**3 - 48 - g**3 + 32*g + g**3 - c*g**2.
-4*(g - 2)**2*(g + 3)
Let k(m) = 22*m + 289. Let f(w) = -7*w - 95. Let p(r) = 17*f(r) + 6*k(r). Let x be p(-9). Solve 3 - 3/2*j**3 + 15/2*j + 9/2*j**x - 3/2*j**4 = 0.
-1, 2
Let b(m) = -6*m**2 - 24*m - 64. Let o(c) = -20*c**2 - 72*c - 192. Let z(k) = -7*b(k) + 2*o(k). Factor z(i).
2*(i + 4)*(i + 8)
Let g be 8/(-112) + 2*(-2220)/168*(-4)/10. Solve g*s**2 + 3/2*s**3 - 42 - 6*s = 0 for s.
-7, -2, 2
Suppose -4 = -d + 5. Let z be 4 + (5 - 0) - 0. What is q in z - q**2 + 0 - d + q = 0?
0, 1
Factor 4/13*k**3 - 144/13 - 46/13*k**2 + 12*k.
2*(k - 6)*(k - 4)*(2*k - 3)/13
Let c(q) be the first derivative of 166 + 36/7*q**2 - 2/21*q**3 + 0*q. What is m in c(m) = 0?
0, 36
Let g(x) be the first derivative of 3*x**6/2 + 2166*x**5/5 - 725*x**4 + 968*x**3/3 - 12071. Solve g(i) = 0 for i.
-242, 0, 2/3
Let p(m) be the first derivative of 7/6*m**3 + 20 - m**2 + 17*m - 5/12*m**4. Let g(n) be the first derivative of p(n). Factor g(x).
-(x - 1)*(5*x - 2)
Let k be (-12)/(-1*3) + 480/(-180). Let o = -1487 + 1491. Factor -k*r**o + 0*r - 1/6*r**5 + 0*r**2 + 0 - 8/3*r**3.
-r**3*(r + 4)**2/6
Let u(v) be the second derivative of -5*v**4/36 + 290*v**3/9 - 190*v**2 + 8966*v. Determine c, given that u(c) = 0.
2, 114
Let n(s) be the third derivative of -s**5/12 + 65*s**4/8 - 165*s**3 + 9*s**2 + 6*s - 34. Factor n(g).
-5*(g - 33)*(g - 6)
Factor 0 - 2/5*s**3 + 24/5*s**2 - 22/5*s.
-2*s*(s - 11)*(s - 1)/5
Factor -9/4*t**2 + 3/4*t**3 + 81/4 - 27/4*t.
3*(t - 3)**2*(t + 3)/4
Let y = 1887/14 - 912/7. Let u = -133 - -136. Factor -y*g**u + 3/2*g**2 + 9/2*g - 3/2.
-3*(g - 1)*(g + 1)*(3*g - 1)/2
Let o(f) be the first derivative of 320*f**5/3 - 5620*f**4/3 + 26507*f**3/3 - 1967*f**2/3 + 49*f/3 - 1502. Let o(p) = 0. What is p?
1/40, 7
Let d(p) be the second derivative of p**7/2520 - p**6/144 - 7*p**5/60 + 7*p**4/6 + 176*p. Let s(w) be the third derivative of d(w). Find c such that s(c) = 0.
-2, 7
Let i(f) be the first derivative of 5*f**3/3 - 11100*f**2 + 24642000*f + 8893. Find u such that i(u) = 0.
2220
Let y(x) = -37*x**5 + 26*x**4 - 12*x**3 - 12*x + 12. Let o(k) = 15*k**5 - 10*k**4 + 5*k**3 + 5*k - 5. Let c(z) = 12*o(z) + 5*y(z). What is v in c(v) = 0?
0, 2
Let l(b) be the second derivative of -b**5/30 - 5*b**4/18 + 28*b**3/3 + 4940*b. Find m such that l(m) = 0.
-12, 0, 7
Let a = -613630 - -613630. Factor 0*r + 0 - 6/11*r**5 + 24/11*r**4 + a*r**2 - 18/11*r**3.
-6*r**3*(r - 3)*(r - 1)/11
Suppose -2300 = d + 4*k, -2*k + 0*k - 11590 = 5*d. Let p = d - -44094/19. Determine o so that p*o - 4/19 + 10/19*o**3 - 2/19*o**4 - 18/19*o**2 = 0.
1, 2
Let d(q) be the first derivative of 11/9*q**3 + 7/12*q**4 + 0*q + 1/15*q**5 + 126 + 5/6*q**2. Factor d(m).
m*(m + 1)**2*(m + 5)/3
Let k be (-32 - -1) + (-305251)/(-8767). Factor k + 2/11*m**2 - 4*m.
2*(m - 21)*(m - 1)/11
Let y(f) be the first derivative of 1/6*f**5 + 0*f**2 + 1/72*f**6 + 0*f + 0*f**4 + 5/3*f**3 - 18. Let j(l) be the third derivative of y(l). Factor j(i).
5*i*(i + 4)
Let d(i) be the second derivative of -5 + 3/40*i**5 + 0*i**2 + 2*i + 1/60*i**6 + 0*i**3 + 1/12*i**4. Let d(l) = 0. Calculate l.
-2, -1, 0
Let t(x) be the third derivative of -47*x**2 - 4/3*x**3 + 14/15*x**5 - 13/30*x**6 + 25/6*x**4 + 0*x + 0. Factor t(o).
-4*(o - 2)*(o + 1)*(13*o - 1)
Suppose 137 - 57 = 42*d - 2*d. Determine s so that 5/7 + 135/7*s**d - 51/7*s - 25/7*s**3 = 0.
1/5, 5
Suppose -8 - 5/2*y**2 + 1/4*y**3 + 8*y = 0. What is y?
2, 4
Let k(l) be the first derivative of -2*l**3/3 - 89*l**2/6 - 71*l - 1508. Factor k(j).
-(j + 3)*(6*j + 71)/3
Let j be 1317 + -1320 - 48/(-10). Solve -3*h**3 + j*h**4 + 9/5*h + 6/5 + 6/5*h**5 - 3*h**2 = 0 for h.
-2, -1, -1/2, 1
Let t(w) = w**3 + 13*w**2. Let r(c) = 7*c**3 + 59*c**2 + 18*c. Let o(s) = r(s) - 6*t(s). Find n such that o(n) = 0.
0, 1, 18
Let z(b) = 8*b - 18. Let o be z(3). Let r be 3 + o + 391/(-51). Solve -r*p**3 + 4/3*p**2 + 0 + 0*p = 0.
0, 1
Let c(o) be the third derivative of o**6/15 + 19*o**5/6 - 29*o**4/12 - 40*o**3 + 11*o**2 - 3*o - 2. Factor c(u).
2*(u + 1)*(u + 24)*(4*u - 5)
Let -400/7*a + 1536/7 + 4/7*a**2 = 0. Calculate a.
4, 96
Let p(j) be the second derivative of j**6/80 + 63*j**5/160 + 19*j**4/32 - 21*j**3/16 - 15*j**2/4 + j - 429. Solve p(g) = 0 for g.
-20, -1, 1
Let d(j) be the second derivative of -21/20*j**5 + 11/2*j**3 + 15/2*j**2 + 3/4*j**4 + 0 - 2/5*j**6 + 131*j. Factor d(o).
-3*(o + 1)**3*(4*o - 5)
Let y = -133 - -329. Let z = 199 - y. Suppose 3/2*d**z + 0*d + 0 - 3/2*d**4 - 1/2*d**2 + 1/2*d**5 = 0. Calculate d.
0, 1
Let u = 22 + -13. Suppose 0 = o + 3*q + u, 5*o - 2*o - q - 3 = 0. Find v, given that -6*v**4 + 0 + o*v - 3/2*v**5 - 15/2*v**3 - 3*v**2 = 0.
-2, -1, 0
Factor -297/4*r + 1/4*r**2 + 74.
(r - 296)*(r - 1)/4
Factor -285*q - 242*q**2 + 30*q**4 + 13*q**5 + 66*q**2 - 16*q**5 - 108 - 34*q**2.
-3*(q - 9)*(q - 4)*(q + 1)**3
Factor 117*o**2 - 10*o + 117*o**2 - 341*o**2 + 122*o**2 - 5*o**4.
-5*o*(o - 1)**2*(o + 2)
Let m be 30/3*(-9)/5*39/(-468). Solve 2*o**2 - 2*