/48 + 3*h**4/8 - h**3/2 - 45*h**2. Let b(a) be the second derivative of s(a). Factor b(y).
-5*y*(y - 3)*(y + 1)
Let p = 320934 + -320930. Find y such that 2/3*y**p - 8/15*y + 0 + 2/15*y**5 + 2/5*y**3 - 2/3*y**2 = 0.
-4, -1, 0, 1
Let -128/5 + 956/15*w - 758/15*w**2 + 2/15*w**4 + 184/15*w**3 = 0. What is w?
-96, 1, 2
Let y(i) be the first derivative of -5*i**4/4 - 190*i**3/3 + 195*i**2/2 - 325. Factor y(m).
-5*m*(m - 1)*(m + 39)
Suppose -6*n + 255 = 159. What is b in 0 - b**4 + 7*b**2 - n + 0*b + 0*b + b**2 = 0?
-2, 2
Let w(i) be the first derivative of 2*i**5/45 + 5*i**4/18 + 16*i**3/27 + 4*i**2/9 + 327. Let w(n) = 0. Calculate n.
-2, -1, 0
Let w(r) be the first derivative of 8*r**3/21 + 363*r**2/14 + 135*r/7 + 663. Factor w(d).
(d + 45)*(8*d + 3)/7
Let -6/5*z**3 - 44/5*z**2 + 16/5*z**4 + 2/5*z**5 + 32/5*z + 0 = 0. Calculate z.
-8, -2, 0, 1
Determine r so that 1/2*r**4 - 239/4*r**3 + 291/2*r**2 + 351/4*r + 0 = 0.
-1/2, 0, 3, 117
Let u be (2*(-174)/64)/((-36)/(-24)). Let p = 335/88 + u. Factor 0 + 0*q - p*q**2 + 2/11*q**3.
2*q**2*(q - 1)/11
Let a(q) be the third derivative of q**5/15 + 3*q**4 + 18*q**2. Let y(h) = -3*h**2 - 49*h. Let p(i) = -5*a(i) - 7*y(i). Determine k, given that p(k) = 0.
0, 17
Factor 2*l**5 - 195*l**3 + 120 + 17*l**5 - 14*l**5 + 370*l**2 - 10*l**5 - 26*l**4 - 340*l + 76*l**4.
-5*(l - 3)*(l - 2)**3*(l - 1)
Let u(p) = 4*p**2 + 21*p + 38. Let s be u(-2). Find o such that 4*o**2 + 20*o**2 + s*o - 5 - 7 - 17*o + 7*o + 10*o**3 = 0.
-2, -1, 3/5
Factor -64896/7*o**2 - 1/7*o**4 + 4499456/7*o + 416/7*o**3 - 116985856/7.
-(o - 104)**4/7
Let c(q) = -10*q**2 + 220*q - 436. Let f(s) = 13*s**2 - 221*s + 435. Let w(h) = 5*c(h) + 4*f(h). Suppose w(l) = 0. What is l?
-110, 2
Let c(t) = -20*t**3 - 44*t**2 + 58*t + 377. Let o(l) = -3*l**3 + 3*l**2 - 1. Let z(b) = -c(b) + 7*o(b). Factor z(h).
-(h - 64)*(h - 3)*(h + 2)
Let y(j) be the first derivative of 37/16*j**4 + 56 - 13/3*j**3 + 3/2*j**2 - 7/20*j**5 + 0*j. Solve y(d) = 0.
0, 2/7, 2, 3
Let g(w) be the third derivative of w**8/504 + w**7/15 + 19*w**6/36 - 13*w**5/10 - w**2 - 3113*w. Solve g(l) = 0 for l.
-13, -9, 0, 1
Let c(j) be the second derivative of 0*j**3 + 1/48*j**4 + 0 + 51*j + 0*j**2. Factor c(v).
v**2/4
Let v be 11 + -13 + (1 - -3). Factor 18*h + 6*h**2 + 7 - 1 + 7*h - v.
(h + 4)*(6*h + 1)
Let o(n) be the first derivative of -28/9*n**3 - 16/3*n - 58/3*n**2 - 234. Factor o(b).
-4*(b + 4)*(7*b + 1)/3
Suppose 1/5*v**4 + v**5 + 0*v - v**3 - 1/5*v**2 + 0 = 0. Calculate v.
-1, -1/5, 0, 1
Let j = 272 + -143. Let l = -126 + j. Factor -16*d**2 + d**3 + 94*d - 78*d + 3*d**l.
4*d*(d - 2)**2
Suppose -99*u = -106*u + 28. Let w = 13670 - 41008/3. Suppose -w*y**2 + 0 - u*y = 0. Calculate y.
-6, 0
Let w(l) be the second derivative of 2/7*l**2 - 3 + 22/21*l**3 + 6*l + 1/4*l**4. Let w(o) = 0. Calculate o.
-2, -2/21
Let -6 - 9/4*c**3 - 14*c - 1/8*c**4 - 81/8*c**2 = 0. What is c?
-12, -4, -1
Let y(x) be the second derivative of -x**4/6 - 101*x**3/3 - 100*x**2 - 12*x - 16. Find h, given that y(h) = 0.
-100, -1
Suppose -73 = -3*v - 67. Factor -16/5*u**v + 2/5*u**3 + 0 + 6*u.
2*u*(u - 5)*(u - 3)/5
Factor 1/12*l**5 - 5/2*l**4 + 0*l + 0*l**2 + 29/12*l**3 + 0.
l**3*(l - 29)*(l - 1)/12
Let b(p) be the second derivative of -3/8*p**6 - 53/16*p**4 + 0 - 9/4*p**3 + 0*p**2 - 153/80*p**5 + 85*p + 1/56*p**7. What is a in b(a) = 0?
-1, 0, 18
Find h such that 0*h + 0 - 1/4*h**3 - 487/4*h**2 = 0.
-487, 0
Let l(v) be the third derivative of v**6/240 + 11*v**5/60 + 53*v**4/48 - 19*v**3/3 - 2*v**2 - 2453. Let l(u) = 0. What is u?
-19, -4, 1
Let -2930/19*k - 512/19*k**3 + 4928/19*k**2 + 450/19 = 0. What is k?
5/16, 9
Let s(k) be the first derivative of -k**6/36 + 299*k**5/30 + 1207*k**4/24 + 1513*k**3/18 + 101*k**2/2 - 1085. Determine v, given that s(v) = 0.
-2, -1, 0, 303
Let j(v) be the third derivative of 3*v**6/2 + 76*v**5 + 1505*v**4/24 + 125*v**3/6 + 19*v**2 + 86*v. Let j(n) = 0. Calculate n.
-25, -1/6
Solve 1/3*r**5 - 1/3*r**3 - 2*r**4 + 38/3*r**2 + 0*r - 32/3 = 0.
-2, -1, 1, 4
Let k(h) be the first derivative of -h**4 + 1273*h**3/3 - 50721*h**2 + 25281*h + 1098. Factor k(u).
-(u - 159)**2*(4*u - 1)
Suppose -433 = -12*m - 1873. Let w be (3 + 3)*(-105)/m. Factor 0 + 5*k**2 - w*k**3 - k.
-k*(3*k - 2)*(7*k - 2)/4
Factor -145*o + 480 - 323*o - 42*o**2 + 28*o**3 - 304*o + 162*o**2.
4*(o - 3)*(o + 8)*(7*o - 5)
Let f(t) be the first derivative of t**5/30 - t**4 + 28*t**2 - 67. Let v(s) be the second derivative of f(s). Suppose v(l) = 0. Calculate l.
0, 12
Determine s, given that -447/5*s**3 - 59/5*s**4 - 264/5 + 1/5*s**5 - 977/5*s**2 - 854/5*s = 0.
-4, -1, 66
Let v be 6/(-9)*(-105)/14. Suppose -21*j - 4 + 4*j**2 + 12*j - v*j**2 + 4*j = 0. Calculate j.
-4, -1
Let z = -97/6046 + 52951/3023. Find i, given that 55/2*i**2 + 10/3 + z*i + 5/2*i**4 + 95/6*i**3 = 0.
-4, -1, -1/3
Determine q so that 13*q**3 + 4/5*q**4 + 16/5*q**2 + 0*q + 0 = 0.
-16, -1/4, 0
Let d(x) = -90*x**2 - 187*x + 4. Let n(j) = 3*j**2 + 7*j. Let p(o) = -2*d(o) - 18*n(o). Determine i so that p(i) = 0.
-2, 2/63
Solve 821*l**2 - 30 - 455*l**4 + 1051*l**2 - 36*l**5 - 1479*l**2 + 92*l**4 + 27*l + 9*l**3 = 0.
-10, -1, -1/3, 1/4, 1
Let d(m) be the second derivative of 0 - 4/7*m**2 + 37/21*m**3 - 3/14*m**4 - 158*m. Factor d(h).
-2*(h - 4)*(9*h - 1)/7
Let i = 414874 - 414872. Suppose -464/3*u**3 - 13*u**4 + 2352*u - 1064/3*u**i - 5488/3 - 1/3*u**5 = 0. Calculate u.
-14, 1, 2
Let t(x) be the second derivative of -x**4/48 - 1339*x**3/12 - 1792921*x**2/8 + 5041*x. Factor t(q).
-(q + 1339)**2/4
Let z(k) be the second derivative of -k**6/75 - 839*k**5/25 - 702241*k**4/30 + 93968*k**3 - 141120*k**2 + 9211*k. Find d, given that z(d) = 0.
-840, 1
Let t(z) be the first derivative of z**6/45 - z**4/3 + 8*z**3/9 - z**2 + 190*z + 143. Let y(n) be the first derivative of t(n). Let y(f) = 0. Calculate f.
-3, 1
Let w(g) = -g**4 - g**3 + g**2 - g + 1. Let y(u) = 8*u**4 - 17*u**3 + 7*u**2 + 23*u - 18. Suppose -25 = 13*a + 14. Let s(x) = a*w(x) - y(x). Factor s(r).
-5*(r - 3)*(r - 1)**2*(r + 1)
Let q(j) be the second derivative of 3*j**5/80 - 19*j**4/8 + 73*j**3/8 - 27*j**2/2 + 624*j. Factor q(z).
3*(z - 36)*(z - 1)**2/4
Let o = 1779 - 1775. Let m(w) be the second derivative of -13/4*w**o + 3*w**2 - 3*w - 11/2*w**3 + 0. Factor m(z).
-3*(z + 1)*(13*z - 2)
Let u(z) be the second derivative of z**6/150 + z**5/20 - 2*z**4/15 - 8*z**3/5 - 2707*z. Find q, given that u(q) = 0.
-4, 0, 3
Suppose 1899 = 543*d - 273. Let u(k) be the third derivative of -1/390*k**5 + 46*k**2 + 0 + 2/13*k**3 + 0*k + 5/156*k**d. Factor u(v).
-2*(v - 6)*(v + 1)/13
Let y = -2029 - -538. Let g = y - -1494. Suppose 243/2*t**4 - 3/2 - 27*t**g + 27*t - 120*t**2 = 0. Calculate t.
-1, 1/9, 1
Let b be (27/(-15) + 48/(-16))*(-10)/4. Let n(p) be the first derivative of 15 + 1/5*p**5 + b*p**3 + 27*p - 27*p**2 - 5/2*p**4. Suppose n(g) = 0. What is g?
1, 3
Solve 0 - 60*z**2 - 3/4*z**3 + 123*z = 0.
-82, 0, 2
Let m(g) = 2*g**3 + 1. Let d(h) be the second derivative of -h**5/2 + h**4/3 - 4*h**3/3 - 11*h**2 - 18*h. Let y(x) = d(x) + 6*m(x). Find u, given that y(u) = 0.
-2, 2
Suppose 3028/3*m + 14/3*m**2 + 288 = 0. Calculate m.
-216, -2/7
Suppose 667/6*c + 334/3 - 1/6*c**2 = 0. What is c?
-1, 668
Let k = -20033 - -20036. Let s(x) be the third derivative of 0 + 0*x + 5/3*x**k - 22*x**2 - 1/6*x**5 - 5/24*x**4 + 1/24*x**6. Solve s(d) = 0.
-1, 1, 2
Let f be 1/(-8) + ((-451)/(-88) - 1). Factor -4*a**3 + 40*a**3 - 2*a**f + 16*a + 3*a**5 - 10*a**2 - 34*a**2 - 2*a**4 - 7*a**5.
-4*a*(a - 1)**3*(a + 4)
Let k(u) be the third derivative of -u**8/672 - u**7/105 + 13*u**6/80 + 27*u**5/20 - 9*u**4/4 - 54*u**3 - 11*u**2 - 8*u + 15. Solve k(o) = 0.
-6, -3, 2, 6
Let z(d) = 3*d**2 + 4*d - 10. Let f be z(-4). Let r be 88/f + 54/(-15). Let 2/5*s**5 + 0 + r*s + 0*s**4 - 4/5*s**3 + 0*s**2 = 0. Calculate s.
-1, 0, 1
Let y(l) be the second derivative of l**4/28 - 43*l**3/14 - 990*l**2/7 - 6754*l. Determine n, given that y(n) = 0.
-12, 55
Let c(g) = g**3 + 16*g**2 + 25*g - 41. Let k(v) = -v**3 + 7*v**2 - v - 44. Let s be k(6). Let l be c(s). Solve -1/2*f**2 + 1/2*f + l = 0.
-1, 2
Suppose f - 2*o = 4*f - 19, 2 = 2*f + 4*o. Let n = 14 - f. Factor 2 - 8 - 15*y**2 + 6 - 10*y + n.
-5*(y + 1)*(3*y - 1)
Let g(o) be the second derivative of -o**6/50 - 57*o**5/100 -