21 - 8*k**2/7 - 18*k/7 - 1350. Find m such that a(m) = 0.
-1, 9
Solve 146 + 557001*k + 283 - 9*k**3 - 1281*k**2 - 556140*k = 0.
-143, -1/3, 1
Let s(z) be the first derivative of 2*z**3/27 + 1186*z**2/9 + 703298*z/9 - 3088. Suppose s(u) = 0. Calculate u.
-593
Let s = -141/457 + 1337/1371. Factor 0 + u**4 + 1/3*u**3 - s*u + 1/3*u**5 - u**2.
u*(u - 1)*(u + 1)**2*(u + 2)/3
Let i(c) be the first derivative of -7*c**6/36 - 19*c**5/15 + 3*c**4/8 + 70*c**3/9 + 25*c**2/3 - 10050. Solve i(a) = 0 for a.
-5, -10/7, -1, 0, 2
Let i(t) = -2*t**2 + 1 + t**2 + t + 3 + 0*t**2. Let v be i(2). Factor 2 + 3*d**2 + 2*d**3 - d**4 + 0*d - 5*d - 3*d**3 + v*d**3.
-(d - 1)**3*(d + 2)
Factor -119/4 - 1/8*r**3 + 7/2*r**2 + 211/8*r.
-(r - 34)*(r - 1)*(r + 7)/8
Let h = -1783 + 1150. Let o = 639 + h. Let -15/2*c + 6*c**3 - 3 + 3/2*c**5 + o*c**4 - 3*c**2 = 0. What is c?
-2, -1, 1
Let f be 17*(4 - (-2 - 3 - -17)). Let b = f - -138. Factor 21/4*y**b + 0 - 9/2*y + 9/4*y**3.
3*y*(y + 3)*(3*y - 2)/4
Let q(y) be the first derivative of -7/6*y**3 - 4*y + 15/2*y**2 + 116. Determine c so that q(c) = 0.
2/7, 4
Determine f, given that 138*f + 2*f**3 - 354*f + 176*f + 12*f**2 + 2*f**3 = 0.
-5, 0, 2
Let a(q) be the third derivative of q**6/30 + 48*q**5/5 + 94*q**4 + 1120*q**3/3 - 2*q**2 - 171*q + 8. Let a(b) = 0. Calculate b.
-140, -2
Let u(i) be the third derivative of -i**7/1890 - i**6/135 - 7*i**5/180 - i**4/12 + 27*i**2 + 1. Suppose u(m) = 0. What is m?
-3, -2, 0
What is n in -4*n**4 + 2/7*n**3 - 2/7*n**5 + 4*n**2 + 0 + 0*n = 0?
-14, -1, 0, 1
Let u be (-3)/18*-3 - 11/(-2). Let s(k) = -k**2 + 5*k + 9. Let o be s(u). Factor 4*r**o + 11*r**2 + 31*r - 3*r**2 - 27*r.
4*r*(r + 1)**2
Let c(u) be the first derivative of 2/7*u**2 - 149 - 4/21*u**3 + 24/7*u. What is w in c(w) = 0?
-2, 3
Suppose 2*c + 7*c - 18 = 0. Solve -128*z + 110*z - 6*z**2 - 180*z + 9*z**c + 3267 = 0.
33
Let n(r) be the second derivative of r**7/630 - 13*r**6/360 + 4*r**5/15 - r**4/2 - 9*r**2/2 - r + 55. Let k(h) be the first derivative of n(h). Factor k(g).
g*(g - 6)**2*(g - 1)/3
Suppose -119*z + 98*z = 15057. Let f = z + 719. Let 5/3*d**4 + 0 + 0*d + 0*d**f + d**5 + 2/3*d**3 = 0. Calculate d.
-1, -2/3, 0
Let c(o) be the second derivative of -1/60*o**4 + 0 - 11*o - 9/10*o**2 - 1/5*o**3. Find i, given that c(i) = 0.
-3
Let l = -13136683/11 - -1194245. Find z such that -2*z**2 + 8/11*z**3 + 0 + l*z + 2/11*z**4 = 0.
-6, 0, 1
Let c(x) = 10*x + 33. Let d be c(-3). Determine u, given that 49*u**2 + 46*u**2 + u**5 - d*u**3 + 0*u**5 - 93*u**2 = 0.
-2, 0, 1
Let z(b) be the second derivative of -b**4/12 - 20*b**3 - 119*b**2/2 + 4831*b. Factor z(t).
-(t + 1)*(t + 119)
Suppose g + 3*x - 294 = -303, 3*g + 3*x = 3. Let y(b) be the second derivative of 4*b + 1/30*b**5 + 0*b**3 + 1/90*b**g + 0*b**4 + 0 + 0*b**2. Solve y(u) = 0.
-2, 0
Let g(p) be the second derivative of p**7/8820 - p**6/504 - p**5/30 + p**4/12 + p**2/2 + 112*p. Let b(u) be the third derivative of g(u). Solve b(o) = 0 for o.
-2, 7
Factor -2008*r**3 + 5*r**5 - 2027*r**3 + 4075*r**3 + 45*r**4.
5*r**3*(r + 1)*(r + 8)
Let t(f) be the second derivative of f**5/20 + 4*f**4 + 126*f**3 + 1944*f**2 + 2729*f - 1. Find u such that t(u) = 0.
-18, -12
Let c(j) be the first derivative of 1/24*j**4 - 1/180*j**5 - 1/2*j**2 + 2 + 2/9*j**3 + 0*j. Let a(y) be the second derivative of c(y). Factor a(p).
-(p - 4)*(p + 1)/3
Solve 1/4*j**2 + 203/2 + 65/4*j = 0 for j.
-58, -7
Let n(r) = 29*r**4 + 201*r**3 - 200*r**2 - 3*r. Let w(c) = 38*c**4 + 202*c**3 - 200*c**2 - 4*c. Let q(j) = -4*n(j) + 3*w(j). Determine x, given that q(x) = 0.
-100, 0, 1
Let c(v) be the first derivative of 4/3*v**3 + 22 - 5/8*v**4 + 1/10*v**5 - v**2 + 0*v. Let c(p) = 0. Calculate p.
0, 1, 2
Let f(k) be the second derivative of -1/3*k**4 + 24*k**2 + 2/3*k**3 - 2*k - 13. Factor f(g).
-4*(g - 4)*(g + 3)
Let m be (-70720)/(-60)*(17 - -1). Factor b**2 + 21222*b - 1 - m*b - 6.
(b - 1)*(b + 7)
Let z = 54756 + -54753. Factor z*s**2 - 1/2*s**3 - 5 - 3/2*s.
-(s - 5)*(s - 2)*(s + 1)/2
Let b(a) be the second derivative of -a**8/80 - 9*a**7/280 + a**6/10 + a**5/10 - 52*a**3/3 + 3*a - 30. Let k(f) be the second derivative of b(f). Factor k(q).
-3*q*(q - 1)*(q + 2)*(7*q + 2)
Let j(d) = -3*d**2 + d - 7. Let a(t) = 11*t**2 - 22*t + 116. Let c(u) = -5*a(u) - 20*j(u). Suppose c(w) = 0. What is w?
-22, 4
Let j(q) be the first derivative of -15*q**6/2 + 26*q**5 - 125*q**4/4 + 40*q**3/3 - 32. Factor j(y).
-5*y**2*(y - 1)**2*(9*y - 8)
Suppose 6*x = x + 327 - 327. Let u(i) be the second derivative of 0*i**3 + 5/6*i**4 + 0 + 16*i + x*i**2 + 1/4*i**5. Factor u(w).
5*w**2*(w + 2)
Let m(i) be the first derivative of -i**4/48 + 5*i**3/24 + 3*i**2 - 119*i - 73. Let d(q) be the first derivative of m(q). Factor d(z).
-(z - 8)*(z + 3)/4
Let k = 30175 - 30170. Let t(i) be the second derivative of -1/5*i**k - 28*i - 8*i**3 - 16*i**2 - 2*i**4 + 0. Factor t(u).
-4*(u + 2)**3
Let l(y) be the second derivative of 10/9*y**3 + 0 - 44*y + 3*y**2 + 1/18*y**4. Factor l(t).
2*(t + 1)*(t + 9)/3
Let b(o) be the first derivative of 262 - 96*o**2 - 14*o**3 - 288*o - 3/4*o**4. Solve b(x) = 0 for x.
-6, -4
Let f(s) be the second derivative of 0*s**4 - 68*s + 1/15*s**6 + 0 + 0*s**3 - 1/10*s**5 + 0*s**2 - 1/84*s**7. Factor f(y).
-y**3*(y - 2)**2/2
Let r be 682/23772*20 + (-236)/413. Let i = r - -835/5943. Factor i*o**2 + 0 + 0*o.
o**2/7
Let v(u) = 9*u**2 + 15*u. Let h(p) = p + 7. Let z be h(-14). Let s(m) = -13*m**2 - 23*m. Let y(t) = z*v(t) - 5*s(t). What is w in y(w) = 0?
-5, 0
Suppose -81 + 27 = -27*t. Let o(b) be the second derivative of 0 + 1/120*b**6 - 1/8*b**t + 0*b**4 + 11*b - 1/40*b**5 + 1/12*b**3. Let o(x) = 0. What is x?
-1, 1
Let r be 2 + ((-590)/(-80) - 7 - (-5)/8). Let t(g) be the first derivative of -20 + 1/2*g + 1/3*g**2 + 1/18*g**r. Solve t(z) = 0 for z.
-3, -1
Let g(r) be the first derivative of r**6/39 - 32*r**5/65 - 171*r**4/26 - 964*r**3/39 - 40*r**2 - 384*r/13 + 3198. Suppose g(v) = 0. What is v?
-4, -2, -1, 24
Let q(m) be the second derivative of -4/21*m**3 + 0 - 15*m + 5/2*m**2 + 1/14*m**4 - 1/105*m**5. Let d(o) be the first derivative of q(o). Factor d(r).
-4*(r - 2)*(r - 1)/7
Factor 230*s**3 - 523*s**3 - 13*s - 17*s**2 + 294*s**3 - 5*s.
s*(s - 18)*(s + 1)
Let m = -13698 + 13698. Let s(y) be the second derivative of m - y**5 + 0*y**2 + 16*y + 0*y**3 - 5/12*y**4. Solve s(z) = 0.
-1/4, 0
Let u(p) = -13*p**2 - 1608*p + 221952. Let x(b) = 8*b**2 + 1073*b - 147968. Let m(l) = -5*u(l) - 8*x(l). What is s in m(s) = 0?
272
Suppose 2*a - 3*a + 5*h - 1456 = 0, h - 1464 = a. Let m = a + 1469. Factor -7/2*z**m + 0 - 23/2*z**2 - 3*z.
-z*(z + 3)*(7*z + 2)/2
Let s be ((-140)/231)/(10 - (-128)/(-720)*57). Factor 2/11*q**2 - s*q + 48/11.
2*(q - 24)*(q - 1)/11
Factor 2497366 - 3878*x - 6777*x**2 + 3395*x**2 + 3383*x**2 + 1262355.
(x - 1939)**2
Let p be (11/5)/(9/(-45)). Let s be p/42 - -2*10/24. Factor -s*q**3 + 0 - 16/7*q**2 + 0*q.
-4*q**2*(q + 4)/7
What is s in -2/7*s**2 + 12 + 22/7*s = 0?
-3, 14
Let l = -1648 + 1672. Suppose l*a = -13*a + 7*a. Suppose -2/7*t**4 + 10/7*t**2 + 0 + a*t - 8/7*t**3 = 0. Calculate t.
-5, 0, 1
Let w be 0 + 2 + (4 + 1 - 1) + (-4086)/(-16344). Let 61/4*h**2 - 18 - 195/4*h**3 + 159/4*h - w*h**4 = 0. Calculate h.
-8, -1, 3/5
Let j(t) = 3*t**2 - 8466*t + 1201335. Let r(o) = -o**2 + 3386*o - 480534. Let n(f) = -5*j(f) - 12*r(f). Factor n(z).
-3*(z - 283)**2
Let q(o) be the second derivative of -139*o**5/25 - 93*o**4/5 - 94*o**3/5 - 2*o**2/5 - 4324*o. Determine k so that q(k) = 0.
-1, -1/139
Let s(n) = -4*n**3 + 42*n**2 - 95*n + 75. Let b(u) = 15*u**3 - 163*u**2 + 380*u - 298. Let x(l) = 6*b(l) + 22*s(l). Suppose x(g) = 0. What is g?
1, 3, 23
Suppose -26 + 10 = -4*b. Let m be (3570/1485 - 2) + b/(-22). Factor 2/3 + 2/9*d**3 - m*d - 2/3*d**2.
2*(d - 3)*(d - 1)*(d + 1)/9
Let -d**4 + 499/2*d**2 + 3/4*d**5 - 79*d**3 - 87/4*d - 297/2 = 0. What is d?
-11, -2/3, 1, 3, 9
Let d(a) be the first derivative of -57/5*a**5 + 87/4*a**4 + 247 + 15876*a - 1/2*a**6 - 6804*a**2 + 1035*a**3. Factor d(y).
-3*(y - 3)**3*(y + 14)**2
Suppose -4*m - 3*z - 268 + 234 = 0, 5*z + 74 = 2*m. Factor 2/7*f + 4/7*f**m + 2/7*f**3 + 0.
2*f*(f + 1)**2/7
Let s be (-18)/(-2916)*-9 - 200/(-144). Factor -2/9*k**3 + 4/3 - 22/9*k + s*k**2.
-2*(k - 3)*(k - 2)*(k - 1)/9
Let m(n) be the 