 Let x(h) = -h**4 - 14*h**3 - 23*h**2 + 24*h. Let k(j) = 2*a(j) + 21*x(j). What is p in k(p) = 0?
-2, 0, 1, 5
Let m(o) be the first derivative of -o**6/252 + o**5/210 + o**4/126 - 25*o**2 - 2*o - 93. Let z(u) be the second derivative of m(u). Factor z(c).
-2*c*(c - 1)*(5*c + 2)/21
Let f be 39/11 + (-42)/77. Factor -68 + 68 + f*v**2 - 3*v**3.
-3*v**2*(v - 1)
Let x(p) = -3*p**2 + 1044*p + 1137. Let j(s) = s**2 - s - 17. Let c(q) = 6*j(q) + x(q). Factor c(i).
3*(i + 1)*(i + 345)
Let x be (10 - -8) + (-3 - 13). Let w(f) be the first derivative of 19 - f - 5/12*f**3 - f**x - 1/16*f**4. Find k, given that w(k) = 0.
-2, -1
Let -1/4*z**2 - 24 - 11/2*z = 0. Calculate z.
-16, -6
Factor -6 - 1271*n + 0 - 2*n**4 + 1275*n - 4*n**3 + 8*n**2.
-2*(n - 1)**2*(n + 1)*(n + 3)
Let x(w) = -w**3 + 32*w**2 + 55*w - 61. Let d(s) = 16*s**2 + 24*s - 30. Let g(m) = 5*d(m) - 2*x(m). Find c such that g(c) = 0.
-7, -2, 1
Determine n so that -38*n - 2/7*n**3 - 64/7*n**2 + 4332/7 = 0.
-19, 6
Let t(z) be the third derivative of -z**8/96 + 11*z**7/140 - 5*z**6/48 - 3*z**5/8 + 2*z**4/3 + z**3 - 3*z**2 + 213. Find p, given that t(p) = 0.
-1, -2/7, 1, 2, 3
Suppose 93 = 8*b + 21. Factor 24*d**2 - b*d**3 + 7*d**3 + 3*d**4 - 20*d**3 - 5*d**3.
3*d**2*(d - 8)*(d - 1)
Let m be (305/61)/((-84)/(-35)). Let v(p) be the second derivative of -12*p + 0*p**3 - 1/4*p**5 + 0 + m*p**4 + 0*p**2. Suppose v(h) = 0. Calculate h.
0, 5
Let r = -57319 + 287107/5. Suppose -66/5*y**2 - 576/5*y - 2/5*y**3 - r = 0. What is y?
-16, -1
Let c(k) = -2*k**2 + 18*k + 14. Let r(d) = 2*d**2 - d. Let j be 186/124*(-4)/3. Let b(f) = j*r(f) - c(f). Factor b(g).
-2*(g + 1)*(g + 7)
Let n = -1840 - -1472. Let v = -1100/3 - n. Factor -v*u**2 + 16*u - 48.
-4*(u - 6)**2/3
Suppose 11*c = 25*c - 84. Factor 10 - c*n**2 + 19*n**3 - 45*n + 3*n**3 - 4*n**2 - n**3 + 24*n**3.
5*(n - 1)*(n + 1)*(9*n - 2)
Let l(v) be the second derivative of 9*v**5/170 + 10*v**4/51 - 53*v**3/17 - 10*v**2 - 5754*v. Let l(x) = 0. What is x?
-5, -1, 34/9
Let y be (2 + 4)*(-50)/60 - -10. Let r(m) be the third derivative of 1/42*m**7 + 35/24*m**4 + 5/3*m**3 + 3/4*m**y + 0 - 20*m**2 + 5/24*m**6 + 0*m. Factor r(t).
5*(t + 1)**3*(t + 2)
Let x(q) be the second derivative of q**5/60 - q**4/6 - 3*q**3/2 - 26*q - 23. Factor x(f).
f*(f - 9)*(f + 3)/3
Suppose -3*z - 6 = 4*j - 6*z, -2*j + 2*z - 4 = 0. Let v(y) be the first derivative of 1/16*y**4 + 20 + j*y + 2*y**2 + 2/3*y**3. Factor v(s).
s*(s + 4)**2/4
Let k be 12*(-16)/((-2688)/98). Let g(a) be the second derivative of -2/21*a**k + 0*a**2 - 2/3*a**3 + 0*a**4 + 2/5*a**5 + 7*a + 0 + 0*a**6. Factor g(h).
-4*h*(h - 1)**2*(h + 1)**2
Let l(s) be the third derivative of s**8/1344 - 3*s**7/140 + 43*s**6/240 - 13*s**5/60 - 29*s**4/32 + 35*s**3/12 - 3*s**2 - 370*s. Find q such that l(q) = 0.
-1, 1, 7, 10
Let b = -151847 + 151851. Factor 0*a + 0 - 8/9*a**3 + 8/9*a**2 + 2/9*a**b.
2*a**2*(a - 2)**2/9
Let k = -234 - -500. Factor -6*l**2 + 14*l**2 - 3 + 269*l - k*l + 3*l**3 + 1.
(l + 1)*(l + 2)*(3*l - 1)
Let n = -3 + 1. Let y = n - -5. Factor 7*z + 9*z**2 + 1 + 3*z**y + 2 + 2*z.
3*(z + 1)**3
What is m in -46*m**3 + 11*m**5 + 16*m**2 - 70*m**4 + 65*m**3 - 33*m**5 + 57*m**3 = 0?
-4, -2/11, 0, 1
Let 2709/4*f + 3/4*f**3 - 1353/4 - 1359/4*f**2 = 0. What is f?
1, 451
Let w be (2 + (-6 - -2))*(-101880)/95088. Find b such that -3*b**2 - 33/7*b - 3/7*b**3 - w = 0.
-5, -1
Let v(d) = -d**3 + d**2 + d. Let h(c) = 15*c**3 - 1015*c**2 + 1010*c - 250. Let u(r) = -h(r) + 5*v(r). Determine m so that u(m) = 0.
1/2, 50
Let a be 9860/5950 - (-6)/(-7). Find t, given that 0*t + 0 + a*t**2 - 8/5*t**3 + 4/5*t**4 = 0.
0, 1
Let z = 99 - 98. Let g be z/2 - (-35)/10. Factor -5 + 2*j**4 + 3 - g*j**3 + 2 + 2*j**2.
2*j**2*(j - 1)**2
Let f(r) be the second derivative of 0*r**2 - 1/24*r**4 + 4 + 1/4*r**3 - 4*r. Solve f(d) = 0 for d.
0, 3
Let g(o) be the first derivative of -9/16*o**4 + 78 + 1/20*o**5 + 2/3*o**3 + 0*o**2 + 0*o. Factor g(d).
d**2*(d - 8)*(d - 1)/4
Suppose 6*r - 3*r - 36 = 0. Suppose -r*s = -17*s + 105. Let -24*y + y**2 + 56 - s + 3*y**2 + 1 = 0. Calculate y.
3
Let s(i) = -2*i**3 - 40*i**2 + 74*i - 32. Let d(u) = -2*u**2 + u + 1. Let h(l) = -4*d(l) + s(l). Let h(p) = 0. Calculate p.
-18, 1
Let d be (41 + -41)/((-42)/(-7)). Factor -6/23*u**2 - 2/23*u**3 + d - 4/23*u.
-2*u*(u + 1)*(u + 2)/23
Let w = 1/13725 + 4567/109800. Let u(p) be the second derivative of 16*p + 0 + 1/80*p**5 + 1/24*p**3 + w*p**4 + 0*p**2. Factor u(v).
v*(v + 1)**2/4
Let n be (34 - 7) + 0 + 1 + -3. Factor 5*a**3 + 40*a + 73 + n*a**2 - 130 + 77.
5*(a + 1)*(a + 2)**2
Let d = -704512/3 + 234839. Factor -5/3*o**4 - 10/3*o**3 - 10/3*o**2 - 1/3 - d*o - 1/3*o**5.
-(o + 1)**5/3
Let t(q) be the second derivative of -q**7/2520 + q**6/144 - q**5/30 - 17*q**4/6 + 72*q. Let z(k) be the third derivative of t(k). Factor z(i).
-(i - 4)*(i - 1)
Let t(c) be the third derivative of -c**7/1155 + 4*c**6/165 + 3*c**5/55 - 4*c**4/33 - 17*c**3/33 + 16*c**2 + 28. What is u in t(u) = 0?
-1, 1, 17
Factor 0 - 5*a - 9/4*a**2 - 1/4*a**3.
-a*(a + 4)*(a + 5)/4
Suppose 87*w - 88*w - 13 = -5*j, -w + 17 = 5*j. Let c(u) be the first derivative of -2 + 3/4*u**4 + 6*u**3 + 18*u**w + 24*u. Find i, given that c(i) = 0.
-2
Let g(s) be the third derivative of s**7/700 + 89*s**6/900 - 2*s**5/15 - s**4/24 + 3*s**3 - 39*s**2 + 2. Let x(t) be the second derivative of g(t). Factor x(k).
2*(k + 20)*(9*k - 2)/5
Factor 6*c**2 - 2272 + 12*c**2 + 2076 + 98*c.
2*(c + 7)*(9*c - 14)
Let l(n) = 9*n**3 + 267*n**2 + 3377*n - 3651. Let w(d) = 2*d**3 + d**2 + d - 3. Let x(g) = l(g) - 2*w(g). Solve x(s) = 0 for s.
-27, 1
Suppose w - 14 = 2*p, 4*w + p - 370 = -377. What is a in w + 2/3*a**2 + 34/3*a = 0?
-17, 0
Let m(p) = -4*p**3 - 48*p**2 + 561*p + 608. Let q(v) = 12*v**3 + 144*v**2 - 1684*v - 1824. Let n(j) = -8*m(j) - 3*q(j). Factor n(s).
-4*(s - 8)*(s + 1)*(s + 19)
Let h = 1/13463 + 107695/121167. Let p be ((-1)/(-2))/((-1)/(-4)). Factor -2/9*f**3 + 8/9*f**p - h*f + 0.
-2*f*(f - 2)**2/9
Find x such that 1/2*x**2 - 26 - 12*x = 0.
-2, 26
Let a be ((-48)/30)/(2/(-5)). Suppose i = -5*x + 40 + 275, 5*i - 25 = 0. Let 0*g**4 - 57*g**5 + 0*g**a + 5*g + x*g**5 - 10*g**3 = 0. What is g?
-1, 0, 1
Let m(o) be the second derivative of -o**5/80 + 5*o**4/32 - 68*o**2 - 123*o. Let s(l) be the first derivative of m(l). Determine d, given that s(d) = 0.
0, 5
Suppose -732 = m - 752. Suppose 6*y = -m + 32. Factor -3/4*j**4 + 0*j**y + 0*j + 0 + 1/4*j**5 + 1/2*j**3.
j**3*(j - 2)*(j - 1)/4
Factor -84/5*o**2 + 178*o - 2/15*o**3 - 1360/3.
-2*(o - 5)**2*(o + 136)/15
Let x(s) = -12*s**4 + 76*s**3 - 344*s**2 + 648*s - 420. Let n(i) = 14*i**4 - 76*i**3 + 340*i**2 - 646*i + 421. Let j(m) = -4*n(m) - 5*x(m). Factor j(t).
4*(t - 13)*(t - 2)**3
Let i(r) be the first derivative of -19*r**6/14 - 9*r**5/5 + 393*r**4/28 + 261*r**3/7 + 30*r**2 + 36*r/7 - 16021. Find d such that i(d) = 0.
-2, -1, -2/19, 3
Let o(v) be the second derivative of -v**5/120 - 7*v**4/72 + 2*v**3/9 - 1824*v. Find p such that o(p) = 0.
-8, 0, 1
Let l(m) be the third derivative of -m**7/945 - m**6/108 - 7*m**5/270 - m**4/36 - 4*m**2 - 38. Factor l(p).
-2*p*(p + 1)**2*(p + 3)/9
Let f(p) = -6*p - 20. Let l be f(-4). What is z in 660 + 876 - 3*z**3 + 9*z**4 - 2112*z + 648*z**2 - 72*z**3 - 6*z**l = 0?
1, 8
Suppose -5*t = -8*t - 4*b + 10, 2*t + 2*b - 6 = 0. What is h in 4*h**t - 7 - h**2 + 21 - 9*h - 8 = 0?
1, 2
Let a = 2392 - 2392. Let d(k) be the first derivative of 1/5*k**2 - 1/5*k**3 - 9 + 1/20*k**4 + a*k. Find f, given that d(f) = 0.
0, 1, 2
Suppose -1 = i + 4, 0 = -5*w - i - 7815. Let h = 6257/4 + w. Solve 0 - 1/2*p - 5/2*p**3 - h*p**2 - 3/4*p**4 = 0.
-2, -1, -1/3, 0
Solve -2/3*t**2 - 628*t - 1882/3 = 0.
-941, -1
Let r(o) be the second derivative of 1/36*o**4 + 0*o**2 + 109*o + 0*o**3 + 1/60*o**5 + 0. Factor r(q).
q**2*(q + 1)/3
Let n(g) be the third derivative of -2/105*g**7 + 0*g**3 + 13 + 0*g - g**2 + 0*g**5 + 1/15*g**6 + 0*g**4. Let n(k) = 0. Calculate k.
0, 2
Let a(z) be the third derivative of -z**5/270 + 1547*z**4/108 + 172*z**3/3 - z**2 + z - 1. Let a(i) = 0. What is i?
-1, 1548
Let r(c) be the second derivative of c**7/147 - 4*c**6/15 + 31*c**5/7 - 850*c**4/21 + 4625*c**3/21 - 5000*c**2/7 - 2*c - 59. Factor r(l).
2*(l - 8)*(l - 5)**4/7
Let l(g) be the third derivative of 0*g**3 + 0*