e of j**7/28 + 111*j**6/20 + 1119*j**5/20 + 473*j**4/2 + 522*j**3 + 624*j**2 - j + 341. Solve d(m) = 0 for m.
-104, -2, -1
Suppose 0 = 59*k - 1941 - 19771. Find r such that -20 - 362*r - k*r + 736*r + 2*r**2 = 0.
-5, 2
Factor 2 - 2 + 80*j**3 + 5*j**4 - 4552*j + 225*j**2 + 3742*j.
5*j*(j - 2)*(j + 9)**2
Let -36/5*o - 16*o**2 + 56/5 + 24/5*o**4 + 8*o**3 - 4/5*o**5 = 0. What is o?
-2, -1, 1, 7
Factor 1138489*g**2 + 1067*g**3 + 0*g + 0 + 1/4*g**4.
g**2*(g + 2134)**2/4
Suppose 15*a = 12*a + 168. Suppose -8 - 24 - a*w - 24*w - 20*w**2 - 30*w**2 = 0. Calculate w.
-4/5
Suppose -4*n + 11 + 1 = 2*i, 0 = 3*n - 4*i - 20. Factor -n*u + 10*u**2 + 4*u**3 + 12*u**2 - 12 - 22*u**2 + 12*u**2.
4*(u - 1)*(u + 1)*(u + 3)
Let y(s) be the first derivative of s**6/1620 + 11*s**5/540 + 16*s**3/3 + 5*s + 58. Let x(j) be the third derivative of y(j). Suppose x(f) = 0. Calculate f.
-11, 0
Let u(s) be the second derivative of 3*s**5/20 + 7*s**4/2 + 7*s**3/2 - 117*s**2 + s - 2304. What is b in u(b) = 0?
-13, -3, 2
Let c be -6 + (-4441)/(-720) + (-2)/12. Let x(h) be the third derivative of 0*h - c*h**6 + 0 + 20*h**2 - 1/120*h**5 + 1/9*h**3 + 0*h**4. Factor x(z).
-(z - 1)*(z + 2)**2/6
What is g in 190 - 3992*g**2 + 245*g - 31 + 311 + 3997*g**2 = 0?
-47, -2
Let q(p) = -44*p + 704. Let d be q(16). Let x(m) be the third derivative of -1/105*m**5 + 0*m - 1/42*m**4 + 22*m**2 + d + 0*m**3. Find s such that x(s) = 0.
-1, 0
Suppose -3*p = a - 5*p - 57, -5*a + 301 = -2*p. Suppose -75 = -7*q - a. Factor -5/3*s + 2/3 - s**q.
-(s + 2)*(3*s - 1)/3
Let y be 6/16*(-105872)/468. Let f = 256/3 + y. Find q, given that -1/2*q**3 + 0 + q**2 - f*q = 0.
0, 1
Suppose i + 1 = 0, -2*i - 3*i + 150 = -5*u. Let d = 47 - u. Factor d - 135 - 375*t + 236 - 5*t**3 + 75*t**2 + 446.
-5*(t - 5)**3
Let p be (-1)/2*(222 - 228). Factor 5/8*v**2 + p*v - 5/8.
(v + 5)*(5*v - 1)/8
Let w(i) be the first derivative of -i**8/6720 + i**7/480 + i**6/144 - i**5/30 - 2*i**3/3 + 13*i - 8. Let d(t) be the third derivative of w(t). Factor d(b).
-b*(b - 8)*(b - 1)*(b + 2)/4
Suppose 4*o = 9*o - 345. Suppose 15*x = o - 24. Factor 16/3*n**2 + 2/9*n**x + 1024/9 + 128/3*n.
2*(n + 8)**3/9
Let v(y) = 13*y + 817. Let k be v(-63). Let a be 5 - k - (-2990)/(-442). Find c, given that a*c**2 + 2/17*c + 2/17*c**3 + 0 = 0.
-1, 0
Let q = 13836 - 13834. Suppose o = 3*o + 66. Let p(d) = -48*d**2 - 111*d + 33. Let y(g) = -3*g**2 - 7*g + 2. Let i(h) = o*y(h) + q*p(h). Factor i(s).
3*s*(s + 3)
Let k(n) be the second derivative of -n**8/112 + n**7/35 - n**6/40 + 16*n**2 - 17*n. Let t(p) be the first derivative of k(p). Let t(f) = 0. Calculate f.
0, 1
Let h = -591 + 593. Let q(z) = 4*z**3 - 2*z**2 + z. Let i be q(1). Find j, given that 3*j + i*j**2 - 5*j + 1 - j**3 - h*j + j = 0.
1
Let l(k) be the third derivative of 3*k - 1/27*k**3 + 0 - 5/108*k**4 - k**2 + 1/45*k**5. What is t in l(t) = 0?
-1/6, 1
Let q(m) = -6*m - 27. Let f be q(-8). Solve -f*p + 30 + 15*p**2 + 21*p**2 - 33*p**2 = 0.
2, 5
Let k be (9 - 30) + (-23)/(8 - 9). Factor -6*t - 27/2*t**k + 3/2*t**4 + 0*t**3 + 18.
3*(t - 3)*(t - 1)*(t + 2)**2/2
Let a(k) be the third derivative of -1/504*k**8 - 11 + 2/45*k**6 + 2*k**2 + 0*k**3 - 4/9*k**4 - 1/105*k**7 + 0*k + 2/15*k**5. Find n such that a(n) = 0.
-4, -2, 0, 1, 2
Let z(g) = 45*g + 521. Let o be z(-9). Let w be (-4)/3*(-261)/o. Determine l, given that 0*l - w*l**2 + 0 + 3/4*l**3 = 0.
0, 4
Let l be (1562/3608 + 2/(-123))/((-10)/(-8)). Factor 0*z**2 - 1/3*z**3 + 0 + 0*z + l*z**4.
z**3*(z - 1)/3
Let k(m) be the second derivative of 3*m**4 - 40*m**3/3 + 8*m**2 + 123*m + 6. Determine a so that k(a) = 0.
2/9, 2
Let b(f) be the second derivative of -3*f**5/20 - 30*f**4 - 1800*f**3 - 1044*f. Factor b(n).
-3*n*(n + 60)**2
Let o(r) be the second derivative of -r**5/50 + 3*r**4/10 + 27*r**3/5 - 729*r**2/5 - 4522*r. Solve o(q) = 0.
-9, 9
Let 0 + 132/5*u**3 - 454/5*u**4 + 16/5*u**2 - 258/5*u**5 + 0*u = 0. Calculate u.
-2, -4/43, 0, 1/3
Factor 18*c - 288/5 + 2/5*c**2.
2*(c - 3)*(c + 48)/5
Let x(c) be the first derivative of -c**5/30 - 3*c**4/4 - 14*c**3/3 + 3*c**2/2 + 10. Let l(o) be the second derivative of x(o). Factor l(r).
-2*(r + 2)*(r + 7)
Factor -5/4*f**2 + 5145/4*f + 0.
-5*f*(f - 1029)/4
Let w(i) be the third derivative of i**5/12 + 5845*i**4/12 + 6832805*i**3/6 - 138*i**2. Let w(d) = 0. Calculate d.
-1169
Let z(j) be the first derivative of -j**6/270 - j**5/18 - 2*j**4/9 - 3*j**3 - j + 110. Let l(o) be the third derivative of z(o). Determine q so that l(q) = 0.
-4, -1
Suppose 5*k = -3*v + 3 - 6, -2*v = -4*k - 20. Let m be k/(-9) + 2/12. Factor -n + 0 + m*n**2.
n*(n - 2)/2
Let c(j) = -15*j**3 - 10*j**2 + 94*j + 37. Let u(k) = 7*k**3 + 5*k**2 - 44*k - 18. Let v(o) = 6*c(o) + 13*u(o). Factor v(q).
(q - 2)*(q + 1)*(q + 6)
Let o(z) = 123*z + 21. Let m be o(-7). Let t be (-1204)/m - 2/20. Suppose -2*w**3 - 2/3*w**4 + 0*w + 0 - t*w**2 = 0. Calculate w.
-2, -1, 0
Let a be 8/4 + (-6)/(1 + -3). Let t(y) be the first derivative of -12*y**3 - 52 + 85 + 8*y**2 - a*y + 3*y - 2*y**5 + 8*y**4. Factor t(r).
-2*(r - 1)**3*(5*r - 1)
Let y be (-2)/(-7)*56/10*(-390)/(-156). Suppose -y*q**3 - 3 + 21/4*q**2 + 3/4*q**4 + q = 0. What is q?
-2/3, 1, 2, 3
What is a in 7192/3*a - 116/3*a**3 - 7688/3 - 478*a**2 - 2/3*a**4 = 0?
-31, 2
Factor -6872/5*m - 5903048/5 - 2/5*m**2.
-2*(m + 1718)**2/5
Let b(x) be the second derivative of x**4/21 - 56*x**3 + 24696*x**2 - 2141*x. Factor b(h).
4*(h - 294)**2/7
Let u(h) be the third derivative of h**5/270 + 71*h**4/36 - 12*h**2 - 9*h. Factor u(m).
2*m*(m + 213)/9
Let h(k) be the third derivative of k**7/210 - k**6/24 + 5*k**4/6 - 8*k**3/3 - 6*k**2 + 144*k. Find j, given that h(j) = 0.
-2, 1, 2, 4
Let d(h) = 185 - 14*h + 115 + 5*h - 6*h**2 - 73 - 32*h. Let s(a) = -3*a**2 - 21*a + 114. Let l(v) = 6*d(v) - 11*s(v). Factor l(x).
-3*(x - 4)*(x + 9)
Let k(p) be the first derivative of -p**4/18 + 4*p**3/9 + 4*p**2 - 36*p + 227. Let u(j) be the first derivative of k(j). Let u(w) = 0. What is w?
-2, 6
Let a(h) = -h**2 + 134*h - 390. Let f be a(3). Let x(d) be the first derivative of 22 + 0*d**f + 0*d + 0*d**2 + 3/10*d**4 - 2/25*d**5. Solve x(b) = 0.
0, 3
Determine v, given that 2/15*v**4 + 10/3 + 52/15*v**3 - 52/15*v**2 - 2/15*v**5 - 10/3*v = 0.
-5, -1, 1, 5
Let j(i) be the third derivative of -i**7/2940 - i**6/315 + 19*i**5/420 - i**4/6 - 193*i**3/6 + 31*i**2. Let d(h) be the first derivative of j(h). Factor d(u).
-2*(u - 2)*(u - 1)*(u + 7)/7
Suppose -2*z - 5*d + 113 = 2*z, -5*z - 4*d = -139. Suppose 23*o + 8 = z*o. Suppose 18 - 8*k + 5*k + 3*k**o - 6*k**2 + 6*k = 0. What is k?
-2, 3
Let q(u) be the second derivative of u**7/210 - u**6/120 - u**5/60 + u**4/24 + 33*u**2/2 - 110*u. Let h(j) be the first derivative of q(j). Factor h(m).
m*(m - 1)**2*(m + 1)
Factor 2/7*f**2 - 104/7*f - 106/7.
2*(f - 53)*(f + 1)/7
Factor -22693*a**3 + 45380*a**3 - 63*a**2 - 22690*a**3 + 66*a.
-3*a*(a - 1)*(a + 22)
Let k be 2747/(-1876) + 30/8. Let d = 10 - 5. Solve -20/7*w - 16/7*w**4 + 8/7*w**2 + k*w**3 + 4/7*w**d + 8/7 = 0.
-1, 1, 2
Factor 67/2*x - 11/6*x**2 - 1/6*x**3 - 63/2.
-(x - 9)*(x - 1)*(x + 21)/6
Let k be 13520/(-24)*12/8. Let h = k - -10991/13. Factor 4/13 + 2/13*v**2 - h*v.
2*(v - 2)*(v - 1)/13
Let u(w) be the third derivative of -w**6/1380 - 4*w**5/345 + 3*w**4/92 - 5*w**2 - 15. Find i, given that u(i) = 0.
-9, 0, 1
Let d be ((-4)/70)/(5 - (-10 + (-1422)/(-90))). Let p(q) be the first derivative of 8/21*q**3 + 22 + 0*q + 0*q**2 + d*q**4. Suppose p(m) = 0. Calculate m.
-4, 0
Solve -207492*s - 596*s**2 + 206212*s + 492*s**3 + 4*s**5 - 80*s**4 - 108*s**2 = 0.
-1, 0, 5, 8
Let o = -1338 + 583. Let j be 4/(-10)*o/906. Factor 1/3*n**3 + n - j - n**2.
(n - 1)**3/3
Let h(j) = -j**3 + 7*j**2 - 6*j + 2. Let y be h(6). Factor 10*k + 153*k**2 - 315*k**2 + 167*k**y.
5*k*(k + 2)
Let d = -192 - -191. Let x(i) = i**2 - i. Let v(h) = -2*h**2 - 58*h + 60. Let b(w) = d*v(w) + x(w). Factor b(l).
3*(l - 1)*(l + 20)
Let y be 35/((-8 + 3)*2/(-4)) + -6. Let j(w) be the first derivative of y*w - 2*w**2 - 4/3*w**3 + 1. Factor j(z).
-4*(z - 1)*(z + 2)
Let j(a) be the third derivative of 0 + 1/60*a**6 + 4/3*a**3 + 25/9*a**4 - 20*a**2 + 0*a + 1/3*a**5. Let s(u) be the first derivative of j(u). Factor s(i).
2*(3*i + 10)**2/3
Let v be 7/21 + 10/6. Suppose -v*h + 31 = 23. Determine