5*s**4/44 - 798*s**3/11 + 42*s**2 - 2*s + 1. Determine q so that g(q) = 0.
-3, 1, 266
Let k be 12*4/(-96)*-6. Let -24 + 238*v**4 - 122*v**4 - 12*v - 119*v**4 + k*v**3 + 18*v**2 = 0. What is v?
-2, -1, 2
Determine a so that -90*a + 69*a**2 + 75/2 + 3/2*a**4 - 18*a**3 = 0.
1, 5
Let r be 1/(2 - 171/84). Let f = r + 202/7. Suppose 0 + 6/7*a**2 - 3/7*a**3 - f*a**4 + 3/7*a = 0. Calculate a.
-1, -1/2, 0, 1
Let u(n) be the second derivative of -7/5*n**2 - 21*n + 0 - 1/30*n**4 + 8/15*n**3. Solve u(b) = 0.
1, 7
Let o(s) be the first derivative of -s**4/8 - s**3/2 - s**2/2 - 29. Factor o(c).
-c*(c + 1)*(c + 2)/2
Let l be (1496/99 + -15)*(-1 - -4 - 0 - 0). Solve -1/3*j - 2 + l*j**2 = 0 for j.
-2, 3
Let r(u) = 31*u + 723. Let h be (-3 - (6 + -32))*-1. Let b be r(h). Find m, given that 0 - 21*m**3 + 49/6*m**4 - 4/3*m + b*m**2 = 0.
0, 2/7, 2
Let u(n) be the first derivative of -n**6/15 + 3*n**5/5 - n**4/6 - 8*n**3 - 16*n**2 - 32*n + 34. Let z(t) be the first derivative of u(t). Factor z(r).
-2*(r - 4)**2*(r + 1)**2
Let q(r) = -r**3 - 18*r**2 + 57*r + 60. Let d be q(-21). Solve 153*b**2 + 48*b + 3*b**3 + d - 39 + 249*b = 0 for b.
-49, -1
Determine l so that -1/7*l**3 + 23*l + 13/7*l**2 + 21 = 0.
-7, -1, 21
Let z(i) be the second derivative of 8*i**2 + 1/6*i**4 + 0 - 62*i - 3*i**3. Factor z(b).
2*(b - 8)*(b - 1)
Let v(z) be the third derivative of 10*z + 0*z**4 + 0*z**3 + 5*z**2 + 1/40*z**5 + 0 + 0*z**6 - 1/140*z**7. Factor v(l).
-3*l**2*(l - 1)*(l + 1)/2
Let k be 1/(-4)*((-4)/5 - (-28)/(-140)). Let y(c) be the first derivative of 13 + 1/5*c**5 + k*c**2 + 1/2*c - 1/8*c**4 - 1/2*c**3. Factor y(x).
(x - 1)**2*(x + 1)*(2*x + 1)/2
Let a(f) be the third derivative of f**5/330 + 18*f**4/11 + 3888*f**3/11 - 6*f**2 + 80*f. Find w such that a(w) = 0.
-108
Let b(j) = 16*j - 20. Let w(l) = 17*l - 17. Let f(m) = -6*b(m) + 5*w(m). Let g be f(3). Factor -2/11 - 2/11*q**3 + 2/11*q + 2/11*q**g.
-2*(q - 1)**2*(q + 1)/11
Let l be 140/245*(-5 - -3)*-1. Determine s, given that l*s**3 + 2/7*s**2 - 2/7 - 8/7*s = 0.
-1, -1/4, 1
Let c(l) be the third derivative of l**7/2100 + l**6/120 + 7*l**5/600 - 3*l**4/40 + 243*l**2. Solve c(n) = 0 for n.
-9, -2, 0, 1
Let z(a) be the second derivative of 1/2*a**2 + 0 + 1/8*a**4 - 16*a + 3/2*a**3 - 1/5*a**5. Let q(d) be the first derivative of z(d). Solve q(w) = 0 for w.
-3/4, 1
Let f be (-1 - -2)/((-435)/(-1740)). Let v(a) be the first derivative of f - 1/9*a**3 - 48*a + 4*a**2. Factor v(k).
-(k - 12)**2/3
Let v(g) be the second derivative of -5*g**4/12 + 415*g**3/3 + 840*g**2 + 1074*g. Determine b, given that v(b) = 0.
-2, 168
Let v be ((-18)/27)/(2/(-21)). Suppose 19*g - v*g - 144 = 0. Factor 18*x**3 - g*x**3 - 5*x**3 - x**2.
x**2*(x - 1)
Suppose 20 = -2*o - 2*o, v - o = -23. Let w(b) = -8*b**5 - 3*b**4 - 10*b**3 - b**2 - 7. Let s(l) = l**5 + l**3 + 1. Let u(a) = v*s(a) - 4*w(a). Factor u(p).
4*p**2*(p + 1)**3
Determine b so that 0 + 12/7*b**4 + 132/7*b**2 + 14*b**3 + 0*b - 2/7*b**5 = 0.
-3, -2, 0, 11
Let p(o) = -o**3 - 21*o**2 - 57*o - 54. Let m be p(-18). Let w(a) be the first derivative of -5/16*a**4 - 22 - 5/3*a**3 - 5/2*a**2 + m*a. Factor w(z).
-5*z*(z + 2)**2/4
What is l in -28/3*l**3 - 13384/3*l - 1376 + 3716/3*l**2 = 0?
-2/7, 4, 129
Let q(d) = 3702*d + 3702. Let s be q(-1). Determine y so that -2/17*y**5 - 18/17*y**3 + s + 14/17*y**2 - 4/17*y + 10/17*y**4 = 0.
0, 1, 2
Let n(u) be the first derivative of -u**4/4 + 208*u**3/3 - 10165*u**2/2 - 68694*u - 8498. Factor n(d).
-(d - 107)**2*(d + 6)
Let u(f) = -12*f + 20 - 21*f**2 + 18*f**3 - 21*f**3 + 13. Let j(d) = -6*d**3 - 43*d**2 - 23*d + 65. Let z(a) = -3*j(a) + 7*u(a). Factor z(x).
-3*(x - 1)*(x + 3)*(x + 4)
Let j(c) be the second derivative of 0 + 1/4*c**4 + 1/6*c**2 + 1/15*c**5 - 36*c + 1/3*c**3. Let j(k) = 0. Calculate k.
-1, -1/4
Let h(g) = 2*g**5 - g**4 + 2*g**3 + g**2 - g. Let p(c) = -6*c**5 - 58*c**4 - 150*c**3 + 4558*c**2 - 11550*c. Let o(n) = 2*h(n) + p(n). Factor o(r).
-2*r*(r - 4)**2*(r + 19)**2
Let y be 3*10/(-165)*-11. Let 2*c + 3728*c**y + 2*c + 4*c**3 - 3736*c**2 = 0. What is c?
0, 1
Let t(i) = i**3 - 49*i**2 + 144*i - 72. Let l be t(46). Let w be 1/(6 + l/(-36)). Factor w*q**3 + 1/2*q**4 + 8 + 1/2*q**2 - 12*q.
(q - 1)**2*(q + 4)**2/2
Let r(c) be the second derivative of -c**6/18 - 5*c**5/12 + 5*c**4/9 + 110*c**3/9 + 40*c**2 + 578*c. Suppose r(n) = 0. Calculate n.
-4, -2, 3
Let v(s) be the third derivative of -s**7/1680 - s**6/15 - 16*s**5/5 - 256*s**4/3 + 18*s**3 + 22*s**2. Let b(y) be the first derivative of v(y). Factor b(j).
-(j + 16)**3/2
Let n(c) be the second derivative of c**6/45 - 54*c**5/5 + 1403*c**4 + 17820*c**3 + 81675*c**2 + 3*c - 682. Factor n(z).
2*(z - 165)**2*(z + 3)**2/3
Factor -2/11*t**2 - 118/11*t - 336/11.
-2*(t + 3)*(t + 56)/11
Let u be -22 - 9847/(-215) - 23*1. Factor u*v**2 + 320 - 32*v.
4*(v - 20)**2/5
Let r(l) be the first derivative of l**4/18 + 44*l**3/27 + 17*l**2 + 72*l + 358. Factor r(k).
2*(k + 4)*(k + 9)**2/9
Let n(m) be the second derivative of 2*m**4/15 - 53*m**3/5 - 8*m**2 + 12*m - 96. Solve n(p) = 0.
-1/4, 40
Solve -2/13*m**2 - 134/13 - 136/13*m = 0 for m.
-67, -1
Let m(g) be the first derivative of -10/3*g**3 - 115 + 5*g**2 + 0*g + 5/8*g**4. Solve m(n) = 0 for n.
0, 2
Let x(d) be the first derivative of 3*d**5 + 78 - 5/12*d**6 + 65/3*d**3 + 0*d + 15*d**4 + 45/4*d**2. Factor x(u).
-5*u*(u - 9)*(u + 1)**3/2
Let u(h) be the first derivative of -3 - 1/2*h**4 + 0*h - 2/15*h**6 + 0*h**3 - 6*h**2 - 13/15*h**5. Let b(l) be the second derivative of u(l). Factor b(y).
-4*y*(y + 3)*(4*y + 1)
Let m = -38124 - -38126. Suppose 2/5*q**3 + 0*q + 0 + 12/5*q**m = 0. What is q?
-6, 0
Suppose 3*i = 5*c + 35, -4*c - 356*i = -351*i - 120. Factor -2/9*l**c - 38/9*l**3 - 14/9*l**4 - 32/9*l - 8/9 - 50/9*l**2.
-2*(l + 1)**3*(l + 2)**2/9
Let z(o) be the third derivative of o**9/83160 + o**8/3080 - 13*o**7/13860 + 21*o**4/2 - 117*o**2. Let c(i) be the second derivative of z(i). Solve c(n) = 0.
-13, 0, 1
Let y be (-292 - -293)/(1 - (2/4 + 0)). Let n(g) be the second derivative of -8/15*g**4 + 0*g**y + 1/5*g**5 - 2*g + 8/15*g**3 - 2/75*g**6 + 0. Factor n(k).
-4*k*(k - 2)**2*(k - 1)/5
Suppose -18*a = -23*a + 15. Factor -131*l - 22*l**2 + 2*l**4 + 35*l - 598*l**3 + 608*l**a + 6*l**2.
2*l*(l - 3)*(l + 4)**2
Let d = 10 - 5. Let b = -1105962 + 1105966. Find a, given that 31/7*a**b + 8/7*a + 5*a**d - 12/7 + 121/7*a**2 - 183/7*a**3 = 0.
-3, -2/7, 2/5, 1
Factor -7/3*j**2 - 2137/3*j - 610/3.
-(j + 305)*(7*j + 2)/3
Suppose 110 + 115 = -45*v. Let u be (-55)/v - (15 + -8). Factor u*f**3 + 6*f**2 + 9/4*f + 1/4.
(f + 1)*(4*f + 1)**2/4
Factor 938/3*s**2 - 626/3*s - 623/6*s**3 + 0 - 1/6*s**4.
-s*(s - 2)*(s - 1)*(s + 626)/6
Let r(t) be the second derivative of 5*t**7/42 - t**6/6 - 3*t**5/2 + 5*t**4/3 + 20*t**3/3 - 3*t - 220. Factor r(d).
5*d*(d - 2)**2*(d + 1)*(d + 2)
Let b(y) be the third derivative of -y**6/200 + 106*y**5/25 - 44517*y**4/40 - 45369*y**3/5 - 12*y**2 - 32. Solve b(u) = 0 for u.
-2, 213
Let r(b) be the second derivative of -b**6/240 - b**5/120 - 4*b**2 + 62*b. Let w(c) be the first derivative of r(c). Suppose w(f) = 0. Calculate f.
-1, 0
Let t(x) be the first derivative of -x**6/6 - 23*x**5/5 - 43*x**4/4 + 1351*x**3/3 + 1372*x**2 + 1372*x + 2274. Find n, given that t(n) = 0.
-14, -1, 7
Let o(p) be the third derivative of -3*p**7/140 + p**6/10 - p**5/10 + 57*p**2 + 12*p - 2. Let o(i) = 0. What is i?
0, 2/3, 2
Let l(t) = 3*t**4 - 22*t**3 - 109*t**2 - 128*t + 256. Let i(h) = -5*h**4 + 43*h**3 + 216*h**2 + 257*h - 511. Let q(v) = -4*i(v) - 7*l(v). Factor q(m).
-(m - 1)*(m + 6)**2*(m + 7)
Suppose 0 + 11*l**4 - 19/2*l**3 - 129/4*l - 53*l**2 - 1/4*l**5 = 0. Calculate l.
-1, 0, 3, 43
Let s(u) = -6*u**3 - 3*u**2 + 6*u + 5. Let a be s(-2). Find k, given that 10*k**3 + 11*k + a - 51*k - 45 + 6*k**2 - 2*k**2 = 0.
-2, -2/5, 2
Let m(k) be the first derivative of -2/3*k**3 + 2/15*k**5 - 49 - 8/3*k - 8/3*k**2 + 1/3*k**4. Factor m(h).
2*(h - 2)*(h + 1)**2*(h + 2)/3
Solve 362/15*t**4 - 12/5*t + 4/3*t**5 + 0 + 16/15*t**3 - 362/15*t**2 = 0.
-18, -1, -1/10, 0, 1
Find i, given that 2/21*i**3 - 16/21*i + 32/7 - 10/21*i**2 = 0.
-3, 4
Let k(l) be the second derivative of -3*l**8/560 + l**7/90 + l**6/90 - l**4/6 - 169*l**3/6 + 28*l. Let x(g) be the third derivative of k(g). Factor x(j).