f**5/5 + 21*f**4/2 - 35*f**3 + 33*f**2 - 5270. Solve g(b) = 0 for b.
0, 1, 2, 11
Let m be (-34)/(-12) + (-26)/(-156). Solve -110*b - 200 - 3*b**4 + 8*b**4 - 90*b**2 + 4*b**3 - 150*b + b**m = 0.
-2, 5
Let i = 3043 + -2095. Let z = i + -945. Let -8/7 - 4/7*x**z + 44/7*x + 16/7*x**4 - 48/7*x**2 = 0. What is x?
-2, 1/4, 1
Suppose 0*q + 18 = -k + q, -3*k = q + 54. Let p = -15 - k. Factor 8*m + 20*m**2 + 10*m**2 + 5*m**p + 37*m.
5*m*(m + 3)**2
Let q = -1643 + 1631. Let n be 28/(-630)*3*(q + 0). Solve -18/5*h**4 - 106/5*h**2 - n - 76/5*h**3 - 56/5*h = 0 for h.
-2, -1, -2/9
Let d(r) be the third derivative of 1/130*r**5 + 61*r**2 + 0*r + 1/1365*r**7 - 1/195*r**6 + 0*r**3 + 0 + 0*r**4. Factor d(f).
2*f**2*(f - 3)*(f - 1)/13
Let l(o) be the second derivative of 7*o**7/9 + 259*o**6/45 - 962*o**5/15 + 1792*o**4/9 - 896*o**3/3 + 240*o**2 - 3878*o. Determine n, given that l(n) = 0.
-10, 6/7, 1, 2
Let d(q) be the first derivative of q**3/12 + 23*q**2/4 + 102*q + 1031. Factor d(t).
(t + 12)*(t + 34)/4
Let b = -2040 + 2045. Let v(y) be the third derivative of 0 + 2/105*y**7 - 12*y**2 + 2/15*y**6 - 6/5*y**b - 14/3*y**3 + 10/3*y**4 + 0*y. Factor v(p).
4*(p - 1)**3*(p + 7)
Determine f so that -142*f - 165*f**2 - 355*f**3 + 165*f**4 - 3*f**5 + 205*f + 403*f - 116*f + 8*f**5 = 0.
-35, -1, 0, 1, 2
Let f(i) be the first derivative of 0*i + 17/2*i**2 + 8 + 1/20*i**4 - 3/10*i**3 + 1/100*i**5. Let p(y) be the second derivative of f(y). Factor p(u).
3*(u - 1)*(u + 3)/5
Solve 534/5*d - 72 - 3/5*d**3 - 171/5*d**2 = 0 for d.
-60, 1, 2
Find m such that 417343*m**3 + 11760 + 575*m**2 + 9561*m - 881*m - 417333*m**3 = 0.
-28, -3/2
Factor 1229*d**2 + 14*d**3 + 1786*d + 208*d**2 + 885*d**2 - 716 + 194*d**2.
2*(d + 1)*(d + 179)*(7*d - 2)
Let z(y) = 4*y**2 + 4*y - 16. Let f be (9/36 - (2 - 1))*-4. Let q be z(f). Let -p**2 + 11 - 26*p**2 - q - 45*p - 3*p**3 = 0. What is p?
-7, -1
Suppose 0 = -5*k - 8*k + 65. Let 15*r**4 - 52*r**2 + 16 - 32899*r - 3*r**4 + 32971*r - 58*r**3 + 10*r**k = 0. What is r?
-2, -1/5, 1, 2
Let r(w) be the second derivative of w**5/80 - 19*w**4/16 + 361*w**3/8 - 46*w**2 + 19*w - 1. Let p(o) be the first derivative of r(o). Factor p(i).
3*(i - 19)**2/4
Let w(l) be the first derivative of 386*l**3 - l**2 - 2*l**2 - 385*l**3 - 45. Factor w(g).
3*g*(g - 2)
Let m(l) = -561*l - 6168. Let z be m(-11). Let i(u) be the second derivative of 0 + 1/110*u**5 + 0*u**2 - 1/33*u**4 + 31*u + 1/33*u**z. Factor i(n).
2*n*(n - 1)**2/11
Let f(y) be the first derivative of 3*y**5/10 - 465*y**4/8 + 6083*y**3/2 - 17787*y**2/4 + 1412. Determine x so that f(x) = 0.
0, 1, 77
Let c(d) be the first derivative of d**5/30 - 13*d**4/3 + 103*d**3/18 - 5403. Factor c(y).
y**2*(y - 103)*(y - 1)/6
Let z be (3*(-44)/(-165))/(4/10). Factor 22 - 22 + 20*u**4 - 22*u**4 - 6*u**z - 16*u**3 - 8*u**2.
-2*u**2*(u + 1)*(u + 7)
Let o(y) be the second derivative of y**10/7560 + y**9/1890 - y**8/1680 - y**7/315 + 25*y**4/4 + 3*y + 5. Let l(v) be the third derivative of o(v). Factor l(u).
4*u**2*(u - 1)*(u + 1)*(u + 2)
Let 1054/3 + 2/3*s**2 - 352*s = 0. What is s?
1, 527
Determine v, given that -1453*v + v**4 - 1080 + 687*v - 69*v**2 - 2006*v + 19*v**4 + 9*v**2 + 308*v**3 = 0.
-15, -3, -2/5, 3
Let t be (-54)/(-8) + -1*2/(-8). Let p be 12/(-28) + (31/t - 1). Solve -q - 4*q**p + 2*q**2 + q**4 + q**2 + q**3 = 0.
0, 1
Let s(x) be the third derivative of -1/90*x**6 + 0 + 0*x**5 + 0*x**4 - 1/630*x**7 - 153*x**2 + 0*x + 0*x**3. Suppose s(j) = 0. Calculate j.
-4, 0
Let g = 242389/4 - 60593. Factor -45 - 1/4*u**3 - g*u**2 - 24*u.
-(u + 5)*(u + 6)**2/4
Let o(n) be the first derivative of 3*n**4/4 - 2*n**3 - 39*n**2/2 - 30*n - 72. What is t in o(t) = 0?
-2, -1, 5
Let g(s) be the second derivative of s**4/66 - 4*s**3/11 + 1075*s. Solve g(f) = 0.
0, 12
Let b(u) = 16*u**2 + 16262*u - 16245. Let p(l) = -12*l**2 - 12196*l + 12184. Let g(o) = -8*b(o) - 11*p(o). Solve g(j) = 0 for j.
-1016, 1
Let p(m) = -1. Let i(n) = -116*n**2 - 1404*n - 132. Let x(j) = -i(j) - 12*p(j). Find y, given that x(y) = 0.
-12, -3/29
Let b = -103991/6 - -17426. Let q = b + -187/2. Factor 0*g - q*g**3 + 2/3*g**5 + 0*g**4 + 0*g**2 + 0.
2*g**3*(g - 1)*(g + 1)/3
Suppose 71*u - 22*u - 741664 = 0. Suppose 15142*h - u*h + h**5 + 12*h**3 - 3*h**5 - 16*h**2 = 0. What is h?
-3, 0, 1
Solve 67*y**4 - 1932*y**3 - 57*y**2 + 1743*y**3 - 55*y**4 + 144*y = 0.
-1, 0, 3/4, 16
Let w(t) be the third derivative of t**8/252 + 92*t**7/315 - 19*t**6/18 + 16*t**5/15 + 830*t**2. What is f in w(f) = 0?
-48, 0, 1
Let r(x) be the first derivative of -21/2*x**2 - 22*x**3 - 6*x**5 - 18*x**4 + 0*x - 1/2*x**6 + 31. Factor r(v).
-3*v*(v + 1)**3*(v + 7)
Let g = -37702 - -37710. Let s be (-81)/(-4) - 2/8. Factor 2*z - 4*z**3 + s*z**2 - 37 - g*z - 2*z + 5.
-4*(z - 4)*(z - 2)*(z + 1)
Let a(g) be the first derivative of -2*g**5/15 - 2*g**4/3 - 8*g**3/9 - 131. Factor a(s).
-2*s**2*(s + 2)**2/3
Let v(n) be the first derivative of 30 + 11/24*n**4 - 7/60*n**5 + 23/2*n**2 - 2/3*n**3 + 0*n. Let y(f) be the second derivative of v(f). Factor y(l).
-(l - 1)*(7*l - 4)
Suppose -22692*w + 22696*w - 52 = -5*j, -j + 23 = 5*w. Factor 1/2*z**w + 0 - 4*z - 7/2*z**2.
z*(z - 8)*(z + 1)/2
Find q, given that 3/2*q**2 - 255/2*q + 369 = 0.
3, 82
Let p(j) = 4*j**2 + 8*j + 17. Let i be p(7). Suppose g + i = 3*y, 2*g + 277 = 3*y - 3*g. Let -y - 2*n**3 + 89 - 4*n**5 + 6*n**3 = 0. Calculate n.
-1, 0, 1
Let s(t) be the second derivative of -t**6/3 - 33*t**5/10 + 52*t**4/3 - 12*t**3 - 55*t - 2. Factor s(d).
-2*d*(d - 2)*(d + 9)*(5*d - 2)
Let o(r) be the second derivative of -1/6*r**3 + 80*r + 1/3*r**2 + 0 + 1/36*r**4. Find j such that o(j) = 0.
1, 2
Factor 10*o**3 + 1/4*o**4 + 0 - 10*o - 1/4*o**2.
o*(o - 1)*(o + 1)*(o + 40)/4
Find t, given that 0*t + 0 - 1/3*t**3 + 4/3*t**2 - 1/6*t**4 = 0.
-4, 0, 2
Suppose 0 = -f + 5*s - 23, 6*s = 2*s - 4. Let t be (-2)/((-6)/8 + 7/f). Factor 12/19*b**t + 18/19*b + 8/19 + 2/19*b**3.
2*(b + 1)**2*(b + 4)/19
Let v(g) = 2*g - 22. Let m be v(20). Suppose 17*l**2 + m - 2*l**2 - 5*l**3 + 7 + 45*l = 0. Calculate l.
-1, 5
Let g(v) = 84*v - 52. Let w be g(-2). Let d be (-209)/w + 1/(-5). Let -3/4*y + 0 - 1/2*y**2 + 1/2*y**4 + d*y**3 = 0. Calculate y.
-3/2, -1, 0, 1
Let c(d) be the first derivative of 7*d**4/22 - 226*d**3/11 + 4176*d**2/11 - 3456*d/11 - 1727. Suppose c(t) = 0. What is t?
3/7, 24
What is v in -774*v + 1050 - 513*v**3 - 9*v**5 - 123*v**4 - 933*v**2 + 1205 - 2495 = 0?
-8, -2, -5/3, -1
Let d = 34018 - 34015. Factor 9/4*g**d - 3/2 - 1/4*g**4 - 21/4*g**2 + 19/4*g.
-(g - 6)*(g - 1)**3/4
Let n(j) be the second derivative of -3*j**6/2 - 61*j**5/4 + 110*j**4 + 366*j. Factor n(x).
-5*x**2*(x - 3)*(9*x + 88)
Factor 2/11*j**2 + 1077512/11 + 2936/11*j.
2*(j + 734)**2/11
Let p(n) be the second derivative of -n**10/75600 + n**9/6300 - n**8/3360 + 89*n**4/6 - 46*n. Let r(j) be the third derivative of p(j). Solve r(s) = 0.
0, 1, 5
Let l be (11/(1617/(-14)) - 86/(-903)) + 2. Factor -2/5*z**l + 2/5*z**4 + 0 - 4/5*z**3 + 4/5*z.
2*z*(z - 2)*(z - 1)*(z + 1)/5
Suppose k + 155 = -s + 591, 5*s = -k + 420. Suppose -k = -4*d - 428. Let 4/3*l + 4/3 + 4/3*l**4 - 8/3*l**2 - 8/3*l**d + 4/3*l**5 = 0. What is l?
-1, 1
Solve -2/9*v**3 - 40/9 - 64/9*v - 26/9*v**2 = 0.
-10, -2, -1
Let l(x) = -35*x**2 + 282*x - 552. Let t(w) = 140*w**2 - 1131*w + 2206. Let q(p) = -23*l(p) - 6*t(p). Let q(r) = 0. What is r?
18/7, 6
Let v(m) be the first derivative of m**4/12 + 3*m**3/2 + 4*m**2 - 43*m + 66. Let k(a) be the first derivative of v(a). Find q, given that k(q) = 0.
-8, -1
Suppose -47*r = 10*r - 171. Suppose 2*l = 5 + 5. Solve -10 - 21*k**3 - l*k**2 - 4*k - 14*k**r + 39*k + 15*k**4 = 0 for k.
-1, 1/3, 1, 2
Let b = 175753/35 + -35145/7. Factor 4*t - 24/5 + b*t**2.
4*(t - 1)*(t + 6)/5
Let r(z) = -7*z**2 + 263*z + 536. Let f(b) = -20*b**2 + 788*b + 1608. Let u(m) = -3*f(m) + 8*r(m). Suppose u(i) = 0. What is i?
-2, 67
Let h(y) be the first derivative of -y**6/12 + 11*y**5/10 - 39*y**4/8 + 49*y**3/6 - 5*y**2 - 1524. Determine r, given that h(r) = 0.
0, 1, 4, 5
Factor 0 - 1294/3*k + 2/3*k**2.
2*k*(k - 647)/3
Suppose -5*z + 3*j + 45 = 0, z + 4*z = 2*j + 40. Suppose -3*s + 5*s - w = z, w = 4*s - 16. Suppose 10*q**2 + 4 + 21*q + s*q**2 + 3 - 1 = 0. Calculate q.
-1, -2/5
Let h(f) = 13*f**3 + 49*f**2 + 5*f - 25. Let d(m) = 28*m