**6/200 - p**5/50 + 3*p**4/40 + p**2 - 6*p + 88. Let w(a) be the second derivative of j(a). Factor w(q).
-3*q*(q - 1)*(q + 3)/5
Let b(w) be the first derivative of 4/3*w**3 - 28 + 1/180*w**6 + 0*w + 0*w**4 - 1/360*w**5 + 0*w**2. Let d(p) be the third derivative of b(p). Factor d(z).
z*(6*z - 1)/3
Let z(f) be the third derivative of -f**6/60 + 8*f**5/15 - 25*f**4/12 - 14*f**3 - f**2 + 679. Find p such that z(p) = 0.
-1, 3, 14
Let t(i) be the third derivative of i**5/100 + 21*i**4/20 - 27*i**3/2 + 10*i**2 + 2*i + 147. Factor t(d).
3*(d - 3)*(d + 45)/5
Suppose -3*g - 9*g = 108. Let r be 2/(((-90)/(-60))/(g/(-32))). Factor -3/8*u**3 + 3/2*u - 3/2 + r*u**2.
-3*(u - 2)*(u - 1)*(u + 2)/8
Let o(g) be the second derivative of g**7/70 + 16*g**6/25 + 321*g**5/50 - 41*g**4 - 2159*g**3/10 - 1734*g**2/5 - 551*g + 2. Solve o(l) = 0 for l.
-17, -1, 4
Let s(u) be the third derivative of u**6/60 - 43*u**5/6 - 439*u**4/4 - 663*u**3 + 4633*u**2. Suppose s(r) = 0. What is r?
-3, 221
Let o(s) = -267*s + 21362. Let u be o(80). Find b such that 9*b**u + 0 + 0*b + 1/2*b**5 - 3/2*b**3 - 2*b**4 = 0.
-2, 0, 3
Let b = 1988 + -1986. Let m(u) be the first derivative of -3/2*u**b + 1/4*u**4 + 0*u**3 + 10 + 2*u. Factor m(d).
(d - 1)**2*(d + 2)
Let y be (-5610)/(-264) - 117/9. Let 4 + 1/4*v**3 + y*v + 9/2*v**2 = 0. What is v?
-16, -1
Factor -22/5*p + 2/5*p**2 + 48/5.
2*(p - 8)*(p - 3)/5
Let r(k) be the first derivative of k**4/16 + 9*k**3/4 - k**2/2 - 27*k + 381. Find j, given that r(j) = 0.
-27, -2, 2
Let v be (-68)/24 + (-31)/186. Let r be ((-138)/(-184))/(v/(-2)). Solve 1/8*o**4 + r*o + 3/4*o**3 + 0 + 9/8*o**2 = 0.
-4, -1, 0
Let n(m) be the first derivative of m**4/2 - 340*m**3 + 1017*m**2 - 1016*m + 3726. Find o, given that n(o) = 0.
1, 508
Let a(d) be the third derivative of d**6/200 - 68*d**5/25 - d**4/40 + 136*d**3/5 - 4*d**2 - 298*d. Factor a(b).
3*(b - 272)*(b - 1)*(b + 1)/5
Let z be -7*30/50*(-8)/15. Let j = z - -14/25. What is g in -j*g**3 - 22/5*g - 4/5 - 32/5*g**2 = 0?
-1, -2/7
Let u(y) be the third derivative of 4*y**2 - 1/240*y**6 + 17/40*y**5 - 13*y**4 + 0*y + 7 - 169/3*y**3. Determine o so that u(o) = 0.
-1, 26
Suppose -6*b = -4*m + 71 + 29, -5*b - 3*m - 115 = 0. Let x be 1/2 + 10/b. Suppose 1/2*y**2 - 1/2*y**4 + x - y**3 + y = 0. What is y?
-2, -1, 0, 1
Let w(z) = z**3 + 15*z**2 + 18*z + 12. Let k be w(-18). Let q = k + 1287. Solve q*s**2 - 3/4*s**3 + 33/4*s + 9/2 = 0.
-1, 6
Let h(c) be the second derivative of c**7/70 - c**6/25 - 63*c**5/100 - 9*c**4/10 + c + 50. What is g in h(g) = 0?
-3, -1, 0, 6
Let r(i) = 169*i**3 - i**2 - 7*i + 7. Let f be r(1). Let b be (-2)/12 + 28/f. Factor 2/3*n**2 + b + 4/3*n.
2*n*(n + 2)/3
Let q be ((-43)/(-172))/((-7 - (-504)/70)/((-78)/(-15))). Determine f, given that -q*f + 0 - 1/2*f**2 = 0.
-13, 0
Let k(f) be the third derivative of f**4 + 31/40*f**6 + 0*f**3 - f - 1/30*f**7 - 11/6*f**5 + 0 + 28*f**2. Factor k(r).
-r*(r - 12)*(r - 1)*(7*r - 2)
Let x(w) be the third derivative of w**8/1176 + w**7/147 + w**6/105 + 8*w**2 + 65. Solve x(f) = 0 for f.
-4, -1, 0
Let f be (-7 - (-297)/45)*(0 - 285). Determine a, given that 66*a**2 - 341*a**2 - f*a + 37*a**4 - 154*a**2 - 24*a**4 + 44*a**4 + 72 - 207*a**3 + 21*a**5 = 0.
-4, -1, 2/7, 3
Let z(u) = 3*u**2 - 45*u + 166. Let c be z(9). Let o(t) be the third derivative of -13*t**2 + 0 + 0*t + 0*t**3 - 1/20*t**5 - 3/8*t**c. Factor o(d).
-3*d*(d + 3)
Let w(n) be the first derivative of -n**4/2 - 170*n**3 + 2063. Suppose w(p) = 0. What is p?
-255, 0
Let q = 270931193/11172420 + -2/2793105. Determine z so that -q*z**2 - 19/4*z**3 - 43/2*z - 2 = 0.
-4, -1, -2/19
Suppose -98 = 32*b + 606. Let x(a) = -a**4 - a - 1. Let j(f) = 13*f**4 - 6*f**2 + 7*f + 11. Let n(q) = b*x(q) - 2*j(q). Determine h, given that n(h) = 0.
-1, 0, 2
Let n(u) be the third derivative of 3/40*u**5 + 0*u + 1/140*u**7 + 31*u**2 - u**3 + 1/20*u**6 + 0 - 1/4*u**4. Solve n(q) = 0 for q.
-2, -1, 1
Let d(a) be the first derivative of -a**5 - 60 - 5/2*a**2 + 5*a**3 + 5/4*a**4 - 10*a. Factor d(t).
-5*(t - 2)*(t - 1)*(t + 1)**2
Find r, given that 1015*r**2 + 5*r**3 - 112 - 188 + 971*r**2 - 3065*r**2 + 1004*r**2 + 280*r = 0.
2, 3, 10
Let x(k) be the third derivative of -k**7/70 - 149*k**6/8 - 138383*k**5/20 + 139129*k**4/8 + 2*k**2 - k - 871. Let x(s) = 0. What is s?
-373, 0, 1
Find j such that 1362*j**2 - 1236696*j + 374306656 - 1/2*j**3 = 0.
908
Suppose 9 = 27*a - 72. Determine z so that 70 + 165*z - 17*z**a + 7*z**3 - 106*z**2 + 233*z**2 - 82*z**2 = 0.
-2, -1/2, 7
Suppose 17*a = 16*a + 59. Let c be a/8 + (2 - 9). Let 0 - c*v**2 + 0*v = 0. What is v?
0
Solve -1/2*d**4 + 49*d**3 - 310*d**2 - 769*d - 819/2 = 0 for d.
-1, 9, 91
Let m(u) = -8*u**2 + 527*u - 992. Let v(h) = 4*h**2 - 262*h + 496. Let n(b) = -2*m(b) - 5*v(b). Factor n(o).
-4*(o - 62)*(o - 2)
Factor 2/9*s**2 + 462722 - 1924/3*s.
2*(s - 1443)**2/9
Let b(m) be the first derivative of -m**6/15 + 11*m**5/10 - 35*m**4/6 + 25*m**3/3 + 34*m + 124. Let d(q) be the first derivative of b(q). Factor d(h).
-2*h*(h - 5)**2*(h - 1)
Suppose -1392/5*v**2 + 56*v - 30*v**4 - 1058*v**3 + 0 = 0. Calculate v.
-35, -2/5, 0, 2/15
Let b(g) = g**2 + 22*g - 48. Let l be b(-24). Let m = 758 - 756. Factor 6*h**m + 9/2*h**3 - 3*h**4 + l - 3/2*h**5 - 6*h.
-3*h*(h - 1)**2*(h + 2)**2/2
Let d(a) be the third derivative of a**5/210 + 23*a**4/28 + 110*a**3/3 + 2*a**2 + 236*a. Factor d(s).
2*(s + 14)*(s + 55)/7
Let w = -866 - -870. Factor -3*v**w + 0*v**4 - v**5 + 62*v**2 + v**3 - 59*v**2.
-v**2*(v - 1)*(v + 1)*(v + 3)
Let r(p) be the second derivative of -p**4/16 - 411*p**3 - 1013526*p**2 + 3707*p. Suppose r(g) = 0. Calculate g.
-1644
Let s(o) be the second derivative of o**7/630 - 7*o**6/180 + o**5/5 - 41*o**4/12 + o**2/2 + o - 30. Let a(b) be the third derivative of s(b). Factor a(n).
4*(n - 6)*(n - 1)
Suppose l = -5, -12*p + 15*p = 4*l + 50. Suppose p = m + 5*k, -k - 27 + 38 = 2*m. What is w in 2/15*w**m - 2/5*w**4 + 0*w**2 + 4/15*w**3 + 0*w + 0 = 0?
0, 1, 2
Let j(a) be the second derivative of 5*a**7/84 - 47*a**6/10 + 181*a**5/20 + 105*a**4/2 + 281*a**3/12 - 165*a**2/2 + 1031*a. Determine x, given that j(x) = 0.
-1, 2/5, 3, 55
Let d(l) be the third derivative of l**7/525 - 7*l**6/150 - 67*l**5/150 - 22*l**4/15 - 12*l**3/5 - 86*l**2 + 24. Find c such that d(c) = 0.
-2, -1, 18
Let l be (167948/64889)/((-10)/(-17)). Factor -2/5*a**4 - 14*a**2 + 10*a + l*a**3 + 0.
-2*a*(a - 5)**2*(a - 1)/5
Let l be (680485/754)/((-50)/(-285)). Determine o so that 171/4*o**3 + 3249/4*o**2 + l*o + 3/4*o**4 + 0 = 0.
-19, 0
Let o(i) be the first derivative of 9*i**4 - 104*i**3/3 - 22*i**2 + 96*i + 1562. Suppose o(f) = 0. Calculate f.
-1, 8/9, 3
Let h(s) be the first derivative of s**7/1260 - s**6/540 + 31*s**3/3 + s**2 - 54. Let c(u) be the third derivative of h(u). Suppose c(v) = 0. Calculate v.
0, 1
Let b(w) = -w**2 + 70*w - 1077. Let f be b(23). Let s(k) be the first derivative of 0*k + 6 + 0*k**2 + 2/33*k**3 - 1/22*k**f. Factor s(t).
-2*t**2*(t - 1)/11
Let v(k) = -3 - k**2 + 1 + 7. Let x(b) = -3*b**2 - b + 15. Let h be (-1164)/108 + (-6)/27. Let n(y) = h*v(y) + 4*x(y). Solve n(w) = 0.
-5, 1
Let r(n) = n**5 - n - 1. Let j = 22 - 16. Let h(b) = 9*b**5 + 9*b**4 - 6*b**3 - 36*b**2 - 30*b - 6. Let q(k) = j*r(k) - h(k). Determine c, given that q(c) = 0.
-2, -1, 0, 2
Suppose 4*y = -z + 288, 2*z + 621 = y + 1224. Find g, given that 135*g + 5/3*g**5 + 590/3*g**3 + 100/3*g**4 + z*g**2 + 0 = 0.
-9, -1, 0
Let r be 127/(3508375/31460) - (2 + 96/(-50)). Let 2/17 + r*t**2 - 12/17*t = 0. Calculate t.
1/3
Factor -33*p - 1/5*p**3 - 234/5 - 32/5*p**2.
-(p + 3)**2*(p + 26)/5
Factor -h**2 - 1010*h + 0*h**2 + 1688*h - 114921 + 0*h**2.
-(h - 339)**2
Let m(b) be the third derivative of b**7/2520 - b**5/360 - 83*b**3/6 - 175*b**2. Let n(c) be the first derivative of m(c). Find l, given that n(l) = 0.
-1, 0, 1
Let y be 20/(-2) - ((-16)/(-56))/(31/(-1798)). Let -4/7*h - 54/7*h**3 - 2*h**5 + 26/7*h**2 + 0 + y*h**4 = 0. What is h?
0, 2/7, 1
Let m(b) be the second derivative of -b**6/10 - 3*b**5 + 33*b**4/2 - 34*b**3 + 69*b**2/2 - 1985*b. Factor m(n).
-3*(n - 1)**3*(n + 23)
Let i(y) = y**3 + y**2 - 2*y - 2. Let s(b) = 25*b**4 + 4482*b**3 - 7238*b**2 + 921*b + 1816. Let z(a) = 3*i(a) + s(a). Find g, given that z(g) = 0.
-181, -2/5, 1
Let a(k) = k**5 + k