 the second derivative of -1/9*m**f + 1/72*m**4 + m + 1/3*m**2 + 0. Factor h(y).
(y - 2)**2/6
Suppose 6*k - 5*k + 5 = 3*v, v = 5*k - 31. Determine o so that -105*o**2 - 98*o**4 + 12*o - 205*o**3 - 30*o**4 - k*o + 28*o**4 + 5 = 0.
-1, -1/4, 1/5
Let t = 691 - -224. Let i = t + -915. Let i - 1/2*c**3 + 1/2*c**5 - c**2 + c**4 + 0*c = 0. Calculate c.
-2, -1, 0, 1
Let m = 5 - -13. Suppose 2*g - m = -z - 2*g, 0 = 4*z - 3*g + 4. Let -37 - 71*x - 8 - 80*x**z + 191*x = 0. Calculate x.
3/4
Find h, given that 30/11*h**3 - 2/11*h**5 + 10/11*h**2 - 68/11*h - 48/11 - 2/11*h**4 = 0.
-4, -1, 2, 3
Let y(g) = -104 - 544*g - 34*g**2 - 76 + 58. Let k(o) = -11*o**2 - 181*o - 41. Let w(c) = 10*k(c) - 3*y(c). Determine m, given that w(m) = 0.
-22, -1/4
Let x(c) = 3*c + 80. Let t be x(-25). Factor -369*m**2 - t - 25*m + 199*m**2 + 200*m**2.
5*(m - 1)*(6*m + 1)
Let 9000/7 + 300/7*j - 4/7*j**3 - 80/7*j**2 = 0. What is j?
-15, 10
Let r(i) = 2*i + 5. Let c(j) = -4*j**2 + 44*j - 12. Let b(n) = -c(n) - 20*r(n). Solve b(k) = 0 for k.
-1, 22
Determine v so that -2667028*v**2 - v**3 + 3*v**3 - 184960 + 2667562*v**2 + 0*v**3 + 34272*v = 0.
-136, 5
Let v(g) be the second derivative of 9*g**5/32 - 17*g**4/12 + g**3/48 + 3*g**2/8 - 2*g + 512. Factor v(y).
(y - 3)*(5*y + 1)*(9*y - 2)/8
Suppose -4*f = -15 - 1. Let x be (f - (3 + 1)) + 3. Factor -69*q**3 - 16*q**2 + 32*q**3 + 33*q**x.
-4*q**2*(q + 4)
Let g(z) be the third derivative of 13*z**6/480 - 137*z**5/120 + 1309*z**4/96 + 121*z**3/2 + 5*z**2 - 7*z - 9. Suppose g(r) = 0. What is r?
-12/13, 11
Let s(w) = -9*w**3 + 510*w**2 - 341*w - 148. Let n(l) = -36*l**3 + 2040*l**2 - 1362*l - 597. Let t(p) = -4*n(p) + 15*s(p). Solve t(a) = 0.
-1/3, 1, 56
Let c = 16633 - 16631. Determine u, given that 2/7*u**c + 0 + 0*u = 0.
0
Let b(k) be the first derivative of -k**6/45 - 14*k**5/25 + 10*k**4/3 - 2792. Suppose b(o) = 0. What is o?
-25, 0, 4
Let o = 727/572 - 146/143. Factor -o*j**3 + 0 + 1/4*j**4 + 1/4*j - 1/4*j**2.
j*(j - 1)**2*(j + 1)/4
Let g(v) be the third derivative of v**6/720 + v**5/90 - v**4/144 - v**3/9 + 932*v**2. Factor g(r).
(r - 1)*(r + 1)*(r + 4)/6
Factor -864*o + 32/3*o**4 + 2/3*o**5 + 128/3*o**3 - 1152 - 96*o**2.
2*(o - 4)*(o + 2)*(o + 6)**3/3
Let x(c) be the third derivative of -c**7/105 + 113*c**6/60 - 221*c**5/30 - 113*c**4/12 + 74*c**3 + 3883*c**2. Suppose x(s) = 0. What is s?
-1, 1, 2, 111
Let c = -23 + 27. Suppose -c*k + 6*k = 96. Let 3 - 49*m**3 - 3*m + 3*m**2 - 2 + k*m**3 = 0. What is m?
1
Let o(p) be the second derivative of -p**5/170 - 47*p**4/51 + p**3/51 + 94*p**2/17 + 70*p - 9. Factor o(d).
-2*(d - 1)*(d + 1)*(d + 94)/17
What is q in -222*q**3 + 35*q**2 + 50*q**4 - 2 - 49*q**4 + 2 + 210*q**3 = 0?
0, 5, 7
Let d = 87/73 + -1406/1241. Let j(b) be the first derivative of d*b**2 + 10 + 1/34*b**4 + 0*b - 4/51*b**3. Factor j(x).
2*x*(x - 1)**2/17
Let t(p) = p**2 - 2*p. Let r(a) = -4*a**2 - 5*a - 3. Let s(d) = 2*r(d) + 6*t(d). Let y(c) = 4*c + 2. Let i(g) = s(g) + 5*y(g). Determine j, given that i(j) = 0.
-2, 1
Suppose 49*g + 41*g - 128*g + 20 = -33*g. Factor -3/5*d**g - 7290*d**2 + 108*d**3 + 218700*d - 2460375.
-3*(d - 45)**4/5
Suppose -180*y + 904 = 87*y - 431. Suppose 2/11*k**y - 72/11*k**3 - 76/11*k**2 + 0 - 20/11*k**4 - 26/11*k = 0. Calculate k.
-1, 0, 13
Factor 222*j**2 + 51/5*j**3 - 1452/5 + 5907/5*j.
3*(j + 11)**2*(17*j - 4)/5
Let o(w) be the first derivative of -w**4/28 - 13*w**3/7 - 507*w**2/14 - 42*w + 46. Let i(u) be the first derivative of o(u). Factor i(b).
-3*(b + 13)**2/7
Let o(f) be the first derivative of -f**4/4 - 7*f**3 - 39*f**2/2 + 845*f - 319. Let o(q) = 0. Calculate q.
-13, 5
Factor -5301*d + 5*d**3 + 2646*d + 129*d**2 + 151*d**2 + 2650*d - 280.
5*(d - 1)*(d + 1)*(d + 56)
Let a(i) = 20*i**2 - 21375*i + 5703105. Let q(s) = 5*s**2 - 5344*s + 1425776. Let m(c) = 4*a(c) - 15*q(c). Solve m(g) = 0.
534
Let h(n) be the third derivative of n**5/60 + n**3/6 + 28*n**2. Let j(x) = -6*x**2 - 2*x + 12. Let u(b) = -4*h(b) + j(b). Factor u(z).
-2*(z + 1)*(5*z - 4)
Let v = -1637623 - -1637627. What is d in 16/3*d - 8/3*d**3 - v + 4/3*d**2 = 0?
-3/2, 1
Suppose -q = 5*c - 0*q - 17997, c + 4*q = 3588. Find k such that 0*k**2 - 184*k + c + 4*k**2 + 424*k = 0.
-30
Let v be ((-8)/(-30))/(26*(-126)/(-585)). Let i(k) be the second derivative of 0*k**4 + 0*k**3 + 0 + v*k**7 + 1/5*k**5 + 0*k**2 + 1/5*k**6 + 23*k. Factor i(u).
2*u**3*(u + 1)*(u + 2)
Let m = 532 + -530. Factor -5*p**m - 74 + 5*p**2 + 72 + 26*p**2 + 0*p**2 + 24*p.
2*(p + 1)*(13*p - 1)
Let m(z) = -39*z**2 - z + 1. Let n(f) = -3710*f**2 + 85*f - 805. Let x(o) = 95*m(o) - n(o). Factor x(r).
5*(r - 30)*(r - 6)
Let j(c) be the third derivative of -c**7/126 - 13*c**6/72 - 23*c**5/36 - 55*c**4/72 - c**2 + 15*c. Factor j(t).
-5*t*(t + 1)**2*(t + 11)/3
Let g(s) = -11*s - 38. Let i be g(8). Let a = 129 + i. Solve 82*k + 45*k**a + 73*k + 5 + 255*k**2 + 20 = 0.
-5, -1/3
Let i(d) be the first derivative of 3*d**4/4 - 2*d**3 - 15*d**2/2 + 18*d - 3110. Find u such that i(u) = 0.
-2, 1, 3
Let t be (-4032)/(-130) - (-92)/(-230). Let o = t - 2526/91. What is u in 4/7*u**2 + 16/7 - o*u = 0?
1, 4
Let s(d) be the third derivative of -d**5/270 - d**4/6 + 40*d**3/3 + 5394*d**2. Factor s(v).
-2*(v - 12)*(v + 30)/9
Find t, given that -454*t**2 - 2/3*t**4 - 11552/3 - 6992/3*t - 92/3*t**3 = 0.
-19, -4
Let z = -1/66123 - 529843594/330615. Let g = z - -1603. Factor 0 + 2/5*d**2 + 0*d - g*d**3.
-2*d**2*(d - 1)/5
Suppose -219 = 8*i - 5*i. Let z = i + 75. Factor -z*m**4 - 2*m**3 - 40*m**2 - 23*m**3 - 20*m - 4*m**4 + m**4.
-5*m*(m + 1)*(m + 2)**2
Let l(u) be the second derivative of u**6/150 + 9*u**5/100 - 2*u - 765. Factor l(h).
h**3*(h + 9)/5
Let r(l) be the third derivative of -l**7/735 - 3*l**6/140 - 17*l**5/210 + 3*l**4/28 + 6*l**3/7 - 1177*l**2. Suppose r(k) = 0. What is k?
-6, -3, -1, 1
Let f(m) = m**4 + 3*m**3 + m**2 - 2. Let l be (1/(-2))/(6*5/180). Let n(d) = -d**3 - d**2 + 1. Let r(h) = l*n(h) - f(h). Factor r(p).
-(p - 1)**2*(p + 1)**2
Find p, given that 17*p**2 + 3388/3 + 264*p + 1/3*p**3 = 0.
-22, -7
Suppose -148*d + 138 = -10*d. Solve -9/2*m**2 - 5/2*m**3 - d - 1/2*m**4 - 7/2*m = 0.
-2, -1
Let w(r) be the first derivative of 29 + 0*r**2 - 29/3*r**3 + 0*r + 25/12*r**4 + 1/72*r**6 - 11/24*r**5. Let k(s) be the third derivative of w(s). Factor k(a).
5*(a - 10)*(a - 1)
Let i(s) be the third derivative of 0*s**3 + 0 - 1/195*s**7 - 1/390*s**5 - 1/156*s**6 - 1/728*s**8 - 5*s + 0*s**4 + 32*s**2. Let i(m) = 0. Calculate m.
-1, -1/3, 0
Let t be (13 - 1)/(48/(-9) - -5). Let u(g) = 2*g**2 + 54*g - 32. Let s(l) = -3*l. Let k(o) = t*s(o) - 2*u(o). Factor k(f).
-4*(f - 4)*(f + 4)
Let x be (-3123)/2*7/210. Let l = -259/5 - x. Solve 1 + 0*z - l*z**2 = 0.
-2, 2
Find f, given that -16/7*f**3 + 32/7 + 8*f + 12/7*f**2 - 4/7*f**4 = 0.
-4, -1, 2
Let l(j) be the first derivative of -j**5/5 - 5*j**4/4 + 43*j**3/3 - 67*j**2/2 + 30*j + 84. Suppose l(z) = 0. What is z?
-10, 1, 3
Let k = 5147/45 - 35309/315. Determine q, given that -k*q**4 - 24/7*q**3 - 4/7*q**5 + 0 - 16/7*q**2 - 4/7*q = 0.
-1, 0
Let w(u) be the third derivative of -19/24*u**4 + 0*u - 1/2*u**3 - 43/80*u**5 + 0 + 79*u**2 - 7/96*u**6. Factor w(r).
-(r + 3)*(5*r + 2)*(7*r + 2)/4
Let p(k) be the first derivative of k**5/35 - 93*k**4/14 - k**3/21 + 93*k**2/7 + 1313. Factor p(q).
q*(q - 186)*(q - 1)*(q + 1)/7
Let -2/11*j**2 + 80/11 - 6/11*j = 0. Calculate j.
-8, 5
Factor -120 + 74/13*d + 2/13*d**2.
2*(d - 15)*(d + 52)/13
Let q(x) be the third derivative of x**5/90 + 206*x**4/9 - 86*x**2 + 26*x. Factor q(t).
2*t*(t + 824)/3
Let q(c) be the first derivative of 5*c**3/6 + 315*c**2/4 + 855*c + 8889. Find s, given that q(s) = 0.
-57, -6
Let i(f) = -21*f**3 + 396*f**2 - 771*f + 378. Let d(l) = -60*l**3 + 1187*l**2 - 2313*l + 1135. Let j(k) = -6*d(k) + 17*i(k). Determine h, given that j(h) = 0.
1, 128
Let z = -2184 - -2189. Let j(u) be the first derivative of -z*u**3 - 5/2*u**2 + 2*u**5 + 7 + 5/4*u**4 + 5*u. Factor j(r).
5*(r - 1)*(r + 1)**2*(2*r - 1)
Let p(h) = 90*h + 14. Let n be p(4). Let j = n - -33. Factor 3*i**2 + j - 10*i + i - 419.
3*(i - 4)*(i + 1)
Let j be (-48)/40*30/(-9). Factor -3*d**5 - 10*d**4 - d**5 - 861*d - j*d**3 + 861*d.
-2*d**3*(d + 2)*(2*d + 1)
Determine q so that 1/4*q**2 + 0 - 3/2*q + 1/4*q**3 = 0.
-3, 0, 2
Let l(j) be th