7/6*p**3 + 0*p + 5/12*p**4 + 0. Let o(s) be the first derivative of b(s). Factor o(a).
-5*(a - 2)*(a + 1)
Let i(a) be the third derivative of -7/60*a**4 + 14*a**2 - 1/5*a**3 - 1/30*a**5 - 1/300*a**6 + 0*a + 0. Factor i(y).
-2*(y + 1)**2*(y + 3)/5
Let n(l) be the second derivative of -l**7/14 + 3*l**6/5 + 54*l**5/5 - 108*l**4 - 648*l**3 + 11664*l**2 - 2099*l. Factor n(y).
-3*(y - 6)**3*(y + 6)**2
Let z(o) be the first derivative of -o**6/2 + 312*o**5/5 - 2175*o**4 + 10000*o**3 - 584. Factor z(y).
-3*y**2*(y - 50)**2*(y - 4)
Let i be (1 + (-18)/10)*(32 + 21 - 54). Let w(v) be the first derivative of -3*v**4 - 2*v**2 - i*v**5 - 4*v**3 + 0*v - 5. Suppose w(s) = 0. What is s?
-1, 0
Let -30*m - 119/4 - 1/4*m**2 = 0. What is m?
-119, -1
Let m(l) = 3*l**5 + 66*l**4 + 213*l**3 - 53*l**2 - 281*l - 13. Let j(f) = f**2 - 5*f - 1. Let p(r) = -13*j(r) + m(r). What is s in p(s) = 0?
-18, -4, -1, 0, 1
Let c = -6452 - -38717/6. Let p(j) be the first derivative of -c*j**4 + 0*j - j**2 + 2/15*j**5 + 14/9*j**3 - 29. What is d in p(d) = 0?
0, 1, 3
Let a(l) be the third derivative of l**6/30 + 184*l**5/15 + 181*l**4/6 - 244*l**3 + 3922*l**2 - 2. Factor a(b).
4*(b - 1)*(b + 2)*(b + 183)
Let d(n) be the third derivative of n**7/140 - 17*n**6/80 + 15*n**5/8 - 103*n**4/16 + 11*n**3 - 31*n**2 + 41*n. Suppose d(l) = 0. What is l?
1, 4, 11
Let n(a) = 227*a**2 - 22*a - 23. Let p be n(-1). Let f = p - 431/2. Suppose -3 + f*g**2 + 9/2*g - 9/2*g**3 - 15/2*g**4 = 0. What is g?
-1, 2/5, 1
Suppose 46 = -29*d - 389. Let l be 240/(-25) + (-150)/d. Factor 0*c**3 + 3/5*c**2 + l*c - 1/5*c**4 + 0.
-c*(c - 2)*(c + 1)**2/5
Let l = -359 - -284. Let m(q) = q**3 + 75*q**2 + q + 77. Let k be m(l). Suppose 11/6*g - 1/2 + 2/3*g**k = 0. Calculate g.
-3, 1/4
Let q(h) = -h**2 - 66*h - 204. Let s be q(-63). Let t be (21/s)/((-427)/122). Solve 2/5*a**3 - 2/5*a + 2/5 - t*a**2 = 0 for a.
-1, 1
Let v(y) be the first derivative of -y**5/5 - y**4/6 + 2*y**3/3 + y**2 - 45*y - 129. Let j(a) be the first derivative of v(a). Factor j(z).
-2*(z - 1)*(z + 1)*(2*z + 1)
Let o(y) be the second derivative of -y**5/180 + 1727*y**4/108 - 746495*y**3/54 + 744769*y**2/18 - 241*y. Suppose o(p) = 0. What is p?
1, 863
Let t(r) be the third derivative of 0 - 1/36*r**5 - 1/72*r**6 + 10/3*r**3 + 47*r**2 + 0*r + 5/9*r**4. Factor t(c).
-5*(c - 3)*(c + 2)**2/3
Let q(o) = o**2 - 1. Let c(f) = 3142*f**2 - 336*f + 3. Suppose 19*d - 66 = 8*d. Let l(i) = d*q(i) - c(i). Factor l(h).
-(56*h - 3)**2
Let l(w) be the third derivative of 1/60*w**6 - 1/12*w**4 + 1/60*w**5 - 1/4*w**3 + 1/420*w**7 + 0 + 0*w + 45*w**2. What is p in l(p) = 0?
-3, -1, 1
Let x(p) = p**2 + 49*p + 444. Suppose -3*a - 12 = 99. Let g be x(a). Let 1/6*d**2 + g + 5/6*d = 0. What is d?
-5, 0
Let p(j) be the first derivative of -j**7/2940 - j**6/315 - j**5/420 + j**4/14 + 86*j**3/3 - 50. Let o(x) be the third derivative of p(x). Factor o(a).
-2*(a - 1)*(a + 2)*(a + 3)/7
Suppose -1272*s + 35 = w - 1268*s, 0 = 5*w + 2*s - 31. Find l such that -4/7*l**w + 228/7*l - 116/7 - 108/7*l**2 = 0.
-29, 1
Let o = 28 + -12. Suppose 3*z + 1 = o. Let 2*y**z - 4*y**4 + 396*y**2 + 2*y**3 - 396*y**2 = 0. What is y?
0, 1
Let v = -2943799/6 - -490634. Factor 0 - v*o**4 + 0*o + 2/3*o**3 + 0*o**2 + 1/6*o**5.
o**3*(o - 4)*(o - 1)/6
Let o(i) be the first derivative of -17*i**4/24 - 97*i**3/6 - 136*i**2/3 - 10*i + 4454. Let o(t) = 0. What is t?
-15, -2, -2/17
Suppose 7*k = 117 + 1031. Suppose k*f = 158*f + 36. Factor 2*d**3 - f*d + 9/2 + 1/2*d**4 - d**2.
(d - 1)**2*(d + 3)**2/2
Let g = 434 - 433. Let x be -6*(g + 138/(-126)). Factor -1/7*t**3 - 8/7 + 2/7*t**2 + x*t.
-(t - 2)**2*(t + 2)/7
Factor 13/2 - 19/3*k - 1/6*k**2.
-(k - 1)*(k + 39)/6
Let b(w) be the second derivative of w**5/15 + 13*w**4/6 - 35*w**2 + 2*w - 4. Let t(k) be the first derivative of b(k). Solve t(l) = 0 for l.
-13, 0
Suppose -2954*r - 4*r**2 + 2166*r + 2767 + 1745 - 3720*r = 0. Calculate r.
-1128, 1
Let m(v) be the first derivative of 2/5*v**5 - 15*v**4 - 27 + 506/3*v**3 + 392*v - 420*v**2. Let m(w) = 0. What is w?
1, 14
Let f(b) = 2*b**2 + 3*b + 2. Let v(m) = 4*m**2 + 1957*m - 474332. Let c(g) = -6*f(g) + 2*v(g). Determine t so that c(t) = 0.
487
Suppose -10*q + 29*q + 5 = 62. Let a(j) be the second derivative of 0*j**5 - 1/75*j**6 - 4/5*j**2 + 1/6*j**4 + 0*j**q + 0 - 35*j. Suppose a(c) = 0. Calculate c.
-2, -1, 1, 2
Let i(n) = 2*n**4 - n**3 - n + 1. Let o(m) = 16*m**4 - 50*m**3 - 4*m**2 + 38*m + 6. Let b(p) = 6*i(p) - o(p). Factor b(g).
-4*g*(g - 11)*(g - 1)*(g + 1)
Let z(v) = 11*v**2 - 6914*v - 1009200. Let r(h) = -3*h**2 + 1728*h + 252300. Let b(y) = -23*r(y) - 6*z(y). Find l, given that b(l) = 0.
-290
Suppose 13*n - 15*n + 14 = 0. Suppose -2*x + 2*w = 4*w - 10, -5*x = -4*w - n. Determine r, given that -3*r + x*r + 5*r**2 - 8*r**2 - 3*r = 0.
-1, 0
Let s be (2/42)/(-30 - 9900/(-315)). Let o(f) be the second derivative of f + s*f**5 + 0*f**4 + 0*f**3 + 0*f**2 + 8. Factor o(j).
2*j**3/3
Suppose -19*m + 203 = -2*r, r + 30 = -1068*m + 1071*m. Let w(t) = -t**2 - 4*t + 7. Let y be w(-5). Suppose -32/7*f - 16/7*f**y + 0 - 2/7*f**r = 0. Calculate f.
-4, 0
Let x(w) = -w**2 + 592*w + 46372. Let t be x(-70). Determine v so that -63/2*v**2 - 8*v**3 - 1/2*v**4 + 8*v + t = 0.
-8, -1, 1
Let u be (-54 - -82) + (5 - 0). Find z such that -5*z + 16*z - 2*z**2 - u*z + 6*z = 0.
-8, 0
Let m(j) be the third derivative of j**5/30 + 113*j**4/24 + 841*j**3/3 - 95*j**2. Let q(n) = -2*n**2 - 114*n - 1682. Let s(t) = 2*m(t) + 3*q(t). Factor s(i).
-2*(i + 29)**2
Let c(k) be the second derivative of 0 + 1/360*k**5 - 1/2*k**2 - 20*k + 49/36*k**3 + 7/72*k**4. Let w(s) be the first derivative of c(s). Factor w(y).
(y + 7)**2/6
Let c(f) be the first derivative of -1/5*f**5 - 9/20*f**4 - 7/15*f**3 + 0*f - 1/5*f**2 - 1/30*f**6 - 12. Factor c(j).
-j*(j + 1)**3*(j + 2)/5
Suppose 21*o - 64 = 188. Let o - f + 5180*f**2 - 7*f - 5179*f**2 = 0. Calculate f.
2, 6
Suppose 4*k = 2*h + 12, 0 = -0*h + 2*h. Let x = 7 - k. Let -2*u - 2*u**5 + 4*u - 2*u**3 - x*u**4 - 2*u = 0. What is u?
-1, 0
Let i(d) be the first derivative of -d**6/15 - 186*d**5/25 + 581*d**4/10 - 170*d**3 + 1184*d**2/5 - 792*d/5 + 4827. Determine z, given that i(z) = 0.
-99, 1, 2
Let d(l) = 10*l - 54. Let i be d(8). Suppose 0 = -i*k - 6*k + 64. Find v, given that -3/2*v + 1 + 1/2*v**k = 0.
1, 2
Factor 253/2*u**2 + 255*u - u**3 - 65025/4 - 1/4*u**4.
-(u - 15)**2*(u + 17)**2/4
Let w = -129 - -131. Factor 242 - 17*y + 173*y**2 - 171*y**w + 61*y.
2*(y + 11)**2
Let n(i) be the second derivative of -i**7/21 + 14*i**6/3 - 612*i**5/5 - 35*i**4/3 + 1225*i**3/3 + 1103*i - 1. Solve n(v) = 0 for v.
-1, 0, 1, 35
Let b(c) be the first derivative of -51 + 0*c + 1/5*c**6 - 6/25*c**5 - 3/2*c**4 - 6/5*c**3 + 0*c**2. Factor b(r).
6*r**2*(r - 3)*(r + 1)**2/5
Let h = -3379 - -10138/3. Let t(m) be the second derivative of 10*m + 3*m**2 - 1/2*m**4 + 0 - 1/10*m**5 + h*m**3. Solve t(q) = 0 for q.
-3, -1, 1
Factor 340991*y**3 - 340916*y**3 - 3*y**4 - 40*y**2 - 5*y**5 - 27*y**4.
-5*y**2*(y - 1)**2*(y + 8)
Let y(g) = -g**2 - 10*g + 26. Let c be y(-12). Solve -6*j**2 + 2*j**c + 2 + 6*j + j**2 + 7 = 0 for j.
-1, 3
Let j(d) be the second derivative of d**5/35 - 38*d**4/21 + 614*d**3/21 - 540*d**2/7 - 286*d + 4. Factor j(i).
4*(i - 27)*(i - 10)*(i - 1)/7
Let z(r) = -r**3 + 11*r**2 - 4*r + 48. Let f be z(11). Suppose -4*w = 2*t - w - 1, t = f*w + 6. Factor 5/6*k + 0 + 5/6*k**t.
5*k*(k + 1)/6
Let p be -2*(-14 + (-2700)/(-190))/(-4). Factor p*k**2 - 12/19*k + 16/19.
2*(k - 4)*(k - 2)/19
Let n(m) be the first derivative of m**3/5 - 216*m**2/5 + 15552*m/5 + 421. Factor n(p).
3*(p - 72)**2/5
Let d(r) be the first derivative of -28*r - 20/3*r**3 + 80 + r**4 - 26*r**2. Factor d(q).
4*(q - 7)*(q + 1)**2
Let a(m) be the first derivative of -4*m**5/5 + 11*m**4 - 44*m**3 + 10*m**2 + 200*m - 369. Factor a(j).
-4*(j - 5)**2*(j - 2)*(j + 1)
Let r(u) be the first derivative of u**4/16 - 2*u**3/3 + 17*u**2/8 - 5*u/2 + 606. Factor r(s).
(s - 5)*(s - 2)*(s - 1)/4
Let b(n) = -14*n**4 + 66*n**3 - 86*n**2 + 48*n - 8. Let z(j) be the first derivative of -j**4/4 - 36. Let d(t) = b(t) + 6*z(t). Find l such that d(l) = 0.
2/7, 1, 2
Let l**3 - 15/2 + 8*l**2 - 1/2*l**4 - l = 0. What is l?
-3, -1, 1, 5
Suppose 94*q - 90*q + u + 10 = 0, 2*q + 4*u + 40 = 0. F