 + -312. Factor 12 + 60*q + 6*q**3 + z*q**3 + 0*q**3 - 69*q**2.
3*(q - 2)**2*(6*q + 1)
Suppose 0 = 4*k - 3*i + 765, -i = -7*k + 2*k - 959. Let v be -1 + k/(-105) - 4/10. Factor -6/7*j + 0 - 3/7*j**2 + 6/7*j**3 + v*j**4.
3*j*(j - 1)*(j + 1)*(j + 2)/7
Let l(w) be the second derivative of -w**4/3 - 4*w**3 + 224*w**2 - 1868*w. Find v, given that l(v) = 0.
-14, 8
Let o(p) be the second derivative of -6*p**4/5 + p**3/15 - 2186*p. Solve o(n) = 0.
0, 1/36
Let v(r) be the first derivative of 2/9*r**3 + 8/3*r**2 + 8*r - 4. Find h such that v(h) = 0.
-6, -2
Let d(v) be the first derivative of -5*v**4/4 + 440*v**3/3 - 9225*v**2/2 - 20250*v + 47. Suppose d(a) = 0. What is a?
-2, 45
Suppose 610*q - 1552 - 2 = -167*q. Suppose 7/4*h**3 + 5*h + 0 - 1/4*h**4 + 7*h**q = 0. What is h?
-2, -1, 0, 10
Let c(l) be the first derivative of -l**7/1050 + l**6/150 - l**5/60 + l**4/60 - 141*l**2/2 + 8. Let i(u) be the second derivative of c(u). Factor i(n).
-n*(n - 2)*(n - 1)**2/5
Suppose 1269*s - 2512 + 2086*s + 2329*s + 3116*s - 28*s**2 = 0. Calculate s.
2/7, 314
Let w = 42467 - 42464. Factor -15/2 + 16*v - 9*v**2 + 0*v**w + 1/2*v**4.
(v - 3)*(v - 1)**2*(v + 5)/2
Let f(s) be the third derivative of 0*s + 1/10*s**5 + 2/9*s**3 + 1/315*s**7 + 1/36*s**6 - 108*s**2 + 0 + 7/36*s**4. Suppose f(r) = 0. What is r?
-2, -1
Let p(r) be the third derivative of r**6/240 + 121*r**5/120 + 59*r**4/24 - 20*r**3 + 226*r**2 - 1. Factor p(h).
(h - 1)*(h + 2)*(h + 120)/2
Let h = -425 - -831. Factor -8 - 216*c**2 - 546*c**3 + 84*c + h*c**3 + 280*c**3.
4*(c - 1)*(5*c - 2)*(7*c - 1)
Let q be -3*(-13)/((-13)/(-2)). Find m such that 0*m**5 - 331*m**2 - 2*m**5 + 329*m**2 + 4*m - q*m**3 + 2*m**4 + 4*m**5 = 0.
-2, -1, 0, 1
Find u, given that 15*u**2 + 7*u**2 + 223 - 247 + 11*u**2 + 27*u - 36*u**2 = 0.
1, 8
Let p be 3/(-18)*-3*(-32 - (-6554)/203). Factor 0 + 6/7*a**3 - p*a**4 + 8/7*a + 15/7*a**2.
-a*(a - 8)*(a + 1)**2/7
Suppose -5*m = -8 - 7. Suppose 9*c = -m + 75. Solve 19*a**2 + 11*a - 23*a**2 + a - c = 0 for a.
1, 2
Let a = 429188 + -429185. Determine t so that -6/5*t**4 - 18/5*t**a + 2/5*t**5 + 0*t + 0 + 54/5*t**2 = 0.
-3, 0, 3
Let f(n) = -8*n + 16. Let i be ((-8)/14)/((-24)/84). Let v be f(i). Factor 4/7*k**3 + 0*k + 8/7*k**2 + v.
4*k**2*(k + 2)/7
Let r(v) be the second derivative of -v**4/6 - 32*v**3/3 - 220*v**2 - 19*v - 3. Factor r(k).
-2*(k + 10)*(k + 22)
Let v be (2*5/10)/1. Suppose -3 = -t - v. Factor -x**2 - 1 + 5*x**2 - x**t - 4*x**2 - 2*x.
-(x + 1)**2
Factor -1/11*z**2 - 82/11*z + 435/11.
-(z - 5)*(z + 87)/11
Let x(w) = -6*w**2 + 213*w - 3465. Let y(f) = f - 1. Let a(t) = -13*t**2 + 455*t - 6955. Let q(m) = -a(m) + 26*y(m). Let i(c) = -3*q(c) - 7*x(c). Factor i(k).
3*(k - 34)**2
Let j(y) = 16*y**2 + 34*y + 8. Suppose 45 = -5*w + 50. Let b(x) = x**2 + x + 2. Let u(f) = w*j(f) + 5*b(f). Factor u(d).
3*(d + 1)*(7*d + 6)
Let i be 10/15 + 0 + 7212/7695. Let x = i - 2/513. Factor 32/5*h**2 - x*h + 0 - 14/5*h**3.
-2*h*(h - 2)*(7*h - 2)/5
Let g = 33 + -31. Let r(w) be the first derivative of 2 - g*w**2 + 2*w**2 - 3*w**2 + w**3. Factor r(s).
3*s*(s - 2)
Let o = -166 + 169. Solve o - 32*f**3 - 23 + 34*f + 4*f**2 - 9*f**4 - 2*f**5 + 25*f**4 + 0 = 0 for f.
-1, 1, 2, 5
Let j = 3084/77 + 364/11. Let m = 3954/97 + -24574/679. Factor j*o + 512/7 + 2/7*o**4 + 192/7*o**2 + m*o**3.
2*(o + 4)**4/7
Let l = 141 + -190. Let o = l + 51. Solve a**3 - 4*a**3 - 15*a + 131*a**2 + 6 - 119*a**o = 0 for a.
1, 2
Let z(f) be the first derivative of 6*f**2 + 4*f**3 - 3/4*f**4 + 0*f + 43 - 3/5*f**5. Suppose z(v) = 0. Calculate v.
-2, -1, 0, 2
Let i(c) = 879*c - 7030. Let f be i(8). Let a(d) be the third derivative of 0 + 0*d + 1/9*d**3 + 31*d**f + 1/72*d**4 - 1/180*d**5. Factor a(t).
-(t - 2)*(t + 1)/3
Factor -613801 + 2*d**3 - 645*d + 110*d**2 + 614611 + 3*d**3.
5*(d - 3)*(d - 2)*(d + 27)
Let m(h) be the third derivative of h**5/12 + 3625*h**4/24 - 1444*h**2. Suppose m(q) = 0. What is q?
-725, 0
Let z(p) be the second derivative of 0 - 3/80*p**5 + 0*p**2 - 9/16*p**4 + 1/40*p**6 + 9/8*p**3 + 63*p. Find j, given that z(j) = 0.
-3, 0, 1, 3
Let u(y) be the first derivative of -y**5/5 - 726*y**4 - 2111206*y**3/3 - 2106852*y**2 - 2105401*y - 2188. Factor u(n).
-(n + 1)**2*(n + 1451)**2
Let b(s) = -16*s - 108. Let c be b(-7). Suppose -202*a + 200*a = -c. Factor 1/2*p**a + 0 - p + 5*p**3.
p*(2*p + 1)*(5*p - 2)/2
Let x(l) = l**2 - 18*l + 36. Let h be x(16). Suppose -3*t - i + h = 1, -9 = 3*i. Factor -14*p**3 + 12*p - 8*p**4 - 16 + t*p**3 + 4*p**4 + 20*p**2.
-4*(p - 1)**2*(p + 1)*(p + 4)
Let h(a) be the second derivative of 147*a**4/2 + 1064*a**3 + 5776*a**2 - 2535*a. Suppose h(o) = 0. Calculate o.
-76/21
Let y(j) be the second derivative of -3*j**2 + 0 + 13/4*j**3 + 7/16*j**4 - 4*j. Solve y(h) = 0.
-4, 2/7
Let f(w) be the second derivative of -22*w**2 - 1 + 8*w**3 - 90*w - 1/3*w**4. Let f(b) = 0. Calculate b.
1, 11
Let s(x) be the third derivative of -x**6/80 - 873*x**5/20 - 762129*x**4/16 + 7000*x**2. Factor s(c).
-3*c*(c + 873)**2/2
Let d be (-3 - -2)*(-2 + 1). Suppose -19*h - 20 = -29*h. Factor -3*j**h + j**3 + 1 - d + j**2.
j**2*(j - 2)
Let r(n) = 3*n**2 - 2*n. Let a(g) = 18*g**2 - 167*g + 78. Let l(b) = a(b) - 4*r(b). Let l(i) = 0. Calculate i.
1/2, 26
Let m(x) be the second derivative of 49*x**2 - 38*x + 0 + 14/9*x**3 + 1/54*x**4. Factor m(j).
2*(j + 21)**2/9
Suppose -2038/17*b**2 - 8/17 - 812/17*b**3 - 832/17*b = 0. What is b?
-2, -1/2, -2/203
Let x be 5/(-13075)*90/(-54). Let c = x - -7841/6276. Find i such that -c*i**2 + 25/2*i - 45/4 = 0.
1, 9
Let u(m) be the second derivative of 0*m**2 + 2/7*m**4 + 3/140*m**5 + 6/7*m**3 + 0 + 139*m. Find j such that u(j) = 0.
-6, -2, 0
Let s(h) be the third derivative of 77*h**2 - 19/3*h**4 - 8/3*h**3 + 0 - 27/20*h**6 + 0*h - 33/5*h**5. What is g in s(g) = 0?
-2, -2/9
Let u(y) = y**2 - 133*y. Let w be u(0). Let x(a) be the third derivative of -25*a**2 + 11/60*a**4 - 2/75*a**5 + 0 - 1/300*a**6 - 2/5*a**3 + w*a. Solve x(l) = 0.
-6, 1
Let g be 6 + (144/12 - 19). Let f be 10*g/((-100)/8). What is d in 0 + 2/5*d**3 + 0*d**2 - f*d**4 + 2/5*d**5 + 0*d = 0?
0, 1
Let r(y) be the second derivative of 270*y**7/7 + 864*y**6/5 - 2403*y**5/10 + 122*y**4 - 253*y**3/8 + 9*y**2/2 - y - 16. Suppose r(b) = 0. Calculate b.
-4, 1/6, 3/10
Let u(q) = 6*q**4 - 10*q**3 + 13*q**2 - 8*q + 1. Suppose 76 = 7*w + 97. Let f(o) = -o**4 - o**3 + o. Let m(i) = w*u(i) - 6*f(i). Find z such that m(z) = 0.
1/2, 1
Let y(i) be the third derivative of -9/7*i**3 + 0 + 48*i**2 + 1/140*i**5 + 0*i - 1/8*i**4. Factor y(z).
3*(z - 9)*(z + 2)/7
Let q(y) be the third derivative of -y**5/240 - 3*y**4/32 + 21*y**3/2 + 1307*y**2. Determine w, given that q(w) = 0.
-21, 12
Suppose 10*k - 9*k = 2*n - 12, 0 = 2*n + 2*k + 6. Let b(m) be the first derivative of -2*m**2 + 4 + m**4 + 4*m - 4/3*m**n. Find p such that b(p) = 0.
-1, 1
Let i(v) = v**3 - 24*v**2 - 38*v + 11. Let j be i(26). Let l = j + -372. Determine s so that 0 - 1/2*s**l - 1/6*s + 1/6*s**4 + 1/2*s**2 = 0.
0, 1
Let y be (408/3)/(-17) + -17. Let w(j) = 3 - 4 - j + 2. Let f(o) = 5*o**2 - 5. Let l(g) = y*w(g) + f(g). Factor l(d).
5*(d - 1)*(d + 6)
Let g be 2/(6 + 273/(-45)). Let j be 40/g*-3 + 16/(-6). Let -4/3*w + 4/3*w**3 - 4/3 + j*w**2 = 0. What is w?
-1, 1
Let j be 267/2 + (-700)/280. Let t(y) = -612*y + 1. Let b be t(-1). Let -j*o + o - 347 + 5*o**2 + b + 579 = 0. Calculate o.
13
Let i(v) be the third derivative of -1/84*v**8 + 0*v**4 + 0*v**5 + 0*v**3 + 0 + 8/35*v**7 + 12*v**2 + 0*v**6 - 5*v. Solve i(r) = 0 for r.
0, 12
Suppose 0 = 3*g - 3*i + 279, -3*g - i - 495 + 204 = 0. Let b = g - -98. Factor -1/6*q**b - 1/6*q + 1.
-(q - 2)*(q + 3)/6
Factor 49*r**2 + 97152*r - 406272 + 41*r**2 + 1002*r**2 + 3*r**3.
3*(r - 4)*(r + 184)**2
Let z be -14 + (-512)/(-12) + -27 + 51. Find t such that -46/3*t**2 + 0 - 20*t**5 - z*t**4 - 4/3*t - 140/3*t**3 = 0.
-1, -1/2, -2/15, 0
Let x(o) = 240*o**3 - 4855*o**2 - 14810*o - 9890. Let j(d) = -41*d**3 + 809*d**2 + 2468*d + 1648. Let l(y) = 35*j(y) + 6*x(y). Suppose l(r) = 0. What is r?
-2, -1, 166
Let o = -20180 - -20182. Find k, given that -3/7*k**4 - 12/7 + 12/7*k + 9/7*k**o - 6/7*k**3 = 0.
-2, 1
Solve 1035767 + 6168*p - 1809246 - 1167188 - 1357370 + 127685 - 3*p**2 = 0 for p.
1028
Let v be 20/6 + -6*(-13)/(-234). Solve 10*q**2 + 49*q**2 - q**