7 + v. What is p in l*p**2 - 3*p**4 - 30*p**2 + 14*p**2 - 2*p + p**5 + p**3 = 0?
-1, 0, 1, 2
Determine y, given that -2545*y**2 - 120*y + 2673*y**2 + 126*y**4 + 76*y**4 + 16*y**5 + 434*y**3 = 0.
-10, -2, -1, 0, 3/8
Let c(g) = g**3 + g**2 - 2*g + 1. Let j(u) = 50*u**3 - 168*u**2 + 110*u - 20. Let r(p) = 20*c(p) + j(p). Find s, given that r(s) = 0.
0, 5/7, 7/5
Let u(a) = 12*a**2 + 10822*a + 7311620. Let l(z) = 64*z**2 + 54113*z + 36558102. Let j(o) = 2*l(o) - 11*u(o). Factor j(d).
-4*(d + 1352)**2
Let t(a) be the second derivative of 7/9*a**4 - 29 - 2/45*a**6 + 0*a**2 + 0*a**3 - a - 2/5*a**5. Factor t(n).
-4*n**2*(n - 1)*(n + 7)/3
Let b(y) be the first derivative of y**3 - 354*y**2 + 2097*y - 1133. Solve b(u) = 0 for u.
3, 233
Let r = -13932586/17 - -819564. Factor r*g**2 + 6272/17 - 224/17*g.
2*(g - 56)**2/17
Let f = -170 - -225. Factor 8 - 3*b**2 - 58 + f*b + 11*b**2 - 16*b**3.
-(b + 2)*(4*b - 5)**2
Let l(y) be the first derivative of -4*y**3/3 + 2356*y**2 - 1387684*y - 13308. Let l(v) = 0. What is v?
589
Let a(i) be the first derivative of 3 - 125/2*i**2 - 15*i**3 + 30*i. Solve a(h) = 0.
-3, 2/9
Let t(o) be the first derivative of -o**6/27 - 14*o**5/45 - 8*o**4/9 - 8*o**3/9 + 373. Suppose t(k) = 0. What is k?
-3, -2, 0
Suppose y - 15 = j, -4*y - 2*j = y - 68. Let d be 225/252 - (-12)/y. Factor 5/4*h**2 - d*h + 1/4*h**4 - 3/2 + 7/4*h**3.
(h - 1)*(h + 1)**2*(h + 6)/4
Let t(r) = 31*r**2 - 39*r + 8. Let n be t(1). Let g(b) be the second derivative of 33*b + 1/9*b**4 - 1/9*b**3 + 0*b**2 + n - 1/30*b**5. Factor g(k).
-2*k*(k - 1)**2/3
Let s(f) = -f**2 - 5*f + 6. Suppose -3*l - 2 = -5*j, -4*l - 3 = -2*l - 5*j. Let k be s(l). Solve 6/7*n + 10/7*n**3 + k + 2*n**2 + 2/7*n**4 = 0.
-3, -1, 0
Let b(a) be the first derivative of 2*a**3/3 + 23*a**2/2 - 169*a - 33. Let p(v) = -9*v**2 - 91*v + 676. Let n(x) = -26*b(x) - 6*p(x). Factor n(s).
2*(s - 13)**2
Let n(j) be the third derivative of -j**6/630 + 3*j**5/70 - 48*j**3 + 270*j**2. Let o(m) be the first derivative of n(m). Solve o(g) = 0.
0, 9
Solve -74*y**2 + 2*y + 143*y**2 - 14*y + 144 - 71*y**2 = 0 for y.
-12, 6
Let l(r) be the third derivative of r**6/90 - r**5/3 + 8*r**4/3 - 43*r**3/3 - r**2 + 9. Let w(h) be the first derivative of l(h). Suppose w(v) = 0. Calculate v.
2, 8
Suppose -4*f + 10 = 2*r, 5*f = r + 35 - 12. Factor -29*o**3 + o**4 + 63*o**2 + 4*o**4 - o**3 - 3*o**f + o**4.
3*o**2*(o - 7)*(o - 3)
Suppose -7*h**2 - 30*h + 4*h + 11*h + 23 - 32 - h**3 = 0. What is h?
-3, -1
Let u(o) = 3*o - 918. Let d(r) = -3*r + 459. Let x(l) = -9*d(l) - 5*u(l). Let z be x(-38). What is y in -4/3*y**z - 8/9 + 4/9*y**2 + 4/3*y + 4/9*y**4 = 0?
-1, 1, 2
Let l(f) be the first derivative of -2/15*f**3 + f**2 + 0*f - 80. Factor l(j).
-2*j*(j - 5)/5
Suppose 3387*r - 3370*r = 34. Let x(i) be the second derivative of 0*i**3 + 0 - 16*i + 1/2*i**r + 1/30*i**6 + 0*i**5 - 1/6*i**4. Factor x(f).
(f - 1)**2*(f + 1)**2
Let q be (-29)/(23490/(-288)) + (-16)/120. Suppose 2*i = 3*j + 13, j - 17 = -2*i - 0*j. What is o in -q*o**2 + 8/3*o - i = 0?
6
Let j(c) be the first derivative of -2/9*c**3 - 722/3*c + 243 + 38/3*c**2. Determine a so that j(a) = 0.
19
Let o(k) be the third derivative of -k**5/80 + 17*k**4/16 - 30*k**3 - 165*k**2. Factor o(m).
-3*(m - 24)*(m - 10)/4
Let k(s) = s**3 + 3*s**2 - 4*s + 35. Let r be k(-5). Factor r*x - 11*x**2 + 534*x**3 + 2 + 534*x**3 - 1064*x**3.
(x - 2)*(x - 1)*(4*x + 1)
Let w be 3 - 9/(871299/171710). Let g = w - -3/677. Factor g*o + 2/13*o**2 + 24/13.
2*(o + 2)*(o + 6)/13
Let l = 106618 + -106618. Determine q so that 0 + 2/7*q**4 + l*q + 0*q**3 - 2/7*q**2 = 0.
-1, 0, 1
Let d(i) be the third derivative of -i**5/40 + 11*i**4/16 + 15*i**3 + 558*i**2. Factor d(c).
-3*(c - 15)*(c + 4)/2
Let x = 3288 + -3288. Let z(k) be the third derivative of 15*k**2 + 0*k + x + 0*k**5 - 5/336*k**8 + 1/8*k**6 - 1/21*k**7 + 0*k**4 + 0*k**3. Solve z(d) = 0.
-3, 0, 1
Suppose -237 = 21*r - 699. Let q(x) be the second derivative of 17/3*x**3 + 31/30*x**4 + 3/50*x**5 + 5*x**2 + 0 + r*x. Find g, given that q(g) = 0.
-5, -1/3
Let f(l) be the second derivative of 0*l**4 + 2/3*l**3 - l**2 + l - 1/5*l**5 + 8 + 1/15*l**6. Determine c so that f(c) = 0.
-1, 1
Let l(f) be the third derivative of f**8/504 - 18*f**7/35 + 754*f**6/15 - 18928*f**5/9 + 70304*f**4/3 - 2753*f**2. Factor l(q).
2*q*(q - 52)**3*(q - 6)/3
Let z = -2059/288 + 243/32. Suppose -2 = -2*l + 4*l, 0 = 4*h - 2*l - 10. Solve 0 - 2/9*o**5 + z*o**3 + 0*o**h + 0*o**4 - 2/9*o = 0.
-1, 0, 1
Suppose -1558/13*u - 1408/13 - 152/13*u**2 - 2/13*u**3 = 0. What is u?
-64, -11, -1
Let d(y) be the second derivative of -49*y**7/30 + 539*y**6/25 - 3759*y**5/50 + 709*y**4/15 - 129*y**3/10 + 9*y**2/5 + 2*y - 176. Suppose d(a) = 0. What is a?
1/7, 3, 6
Let o(s) be the third derivative of -s**5/330 + 17*s**4/66 - 64*s**3/33 + 16*s**2 + 120*s. Let o(a) = 0. What is a?
2, 32
Let o(a) be the second derivative of a**6/720 + a**5/60 + a**4/16 + 5*a**3/6 + a**2/2 + 18*a. Let h(m) be the second derivative of o(m). Factor h(g).
(g + 1)*(g + 3)/2
Suppose 54*o = 66*o - 24. Factor o*d**3 - 456*d + 456*d + 4*d**3 + 3*d**2 + 3*d**4.
3*d**2*(d + 1)**2
Suppose 185*d - 261*d = 75*d - 302. Suppose -2*t - 11/4*t**d - 3/4*t**3 + 1 = 0. Calculate t.
-2, 1/3
Let x be (-11)/(1/(-3) - (-6670)/(-2760)). Let b be ((-2)/(-15))/((-4)/(-9)). Solve -b*v**3 - 1/5 + 1/10*v**2 + 3/10*v + 1/10*v**x = 0 for v.
-1, 1, 2
Let c be ((-12)/8)/(248/(-496)). Factor -962/11*r**2 - 18/11*r**4 + 736/11*r - 276/11*r**c - 128/11.
-2*(r + 8)**2*(3*r - 1)**2/11
Let q = 6278123/11 - 569866. Let z = 873 - q. Factor -4/11 - z*w - 2/11*w**2.
-2*(w + 1)*(w + 2)/11
Let j = 110640 - 110637. Let o = -8 + 58/7. Factor -4/7*d**2 - 2/7*d - o*d**j + 0.
-2*d*(d + 1)**2/7
Let z = -164 - -166. Factor -3/2 - 9/8*p + 3/8*p**z.
3*(p - 4)*(p + 1)/8
Let -40*v + v - 28*v**2 - 27*v + 715*v**3 - 16 - 721*v**3 - 28*v**2 = 0. Calculate v.
-8, -1, -1/3
Suppose 6 = -3*k - 30. Let y be ((-5)/(-10))/(6/(-64)*k). Factor 4/9*n - y - 1/9*n**2.
-(n - 2)**2/9
Solve 40*u**3 - 64*u**2 + 2*u**4 + 40*u**2 - 33*u**5 + 4*u**4 + 92*u**3 = 0 for u.
-2, 0, 2/11, 2
Suppose 3*t + 3*d = 9, 2*t + 2*d = 7*d + 6. Suppose 6 + 3 = t*m. Factor -6*h - m*h**4 + 3*h**3 + 6*h**2 + 8*h - 2*h.
-3*h**2*(h - 2)*(h + 1)
Let d(u) be the first derivative of 2/45*u**5 + 1/9*u**2 - 2/27*u**3 - 1/18*u**4 - 150 + 0*u. Factor d(f).
2*f*(f - 1)**2*(f + 1)/9
Let d(r) = -r**2 + 27*r + 1185. Let t be d(0). Let y = 1188 - t. Factor 1/2*v**y + v + 0 - 3/2*v**2.
v*(v - 2)*(v - 1)/2
Factor -18*c - 57*c**2 + 35*c**5 + 6557*c**4 - 63*c**3 - 38*c**5 - 6584*c**4.
-3*c*(c + 1)**3*(c + 6)
Let q(u) be the first derivative of u**3/2 - 981*u**2/4 + 975*u + 5493. Suppose q(n) = 0. What is n?
2, 325
Let u = -151483/72 + 2104. Let i(p) be the second derivative of 0*p**2 + 5/18*p**3 + 2*p - u*p**4 + 0. Let i(h) = 0. What is h?
0, 2
Let z = 717 - 1353. Let r = z - -2547/4. Factor 0 + 39/4*l**3 + 9*l**2 + 3*l + 9/2*l**4 + r*l**5.
3*l*(l + 1)**2*(l + 2)**2/4
Let q be ((-24)/(-63)*7 - 2/(-6))/1. Let c(g) be the third derivative of -40*g**2 + 1/12*g**5 + 375/2*g**q - 25/4*g**4 + 0 + 0*g. Factor c(z).
5*(z - 15)**2
Let o(k) be the third derivative of 0*k**3 - 10*k - 1/420*k**8 + 0*k**5 + 2*k**2 + 1/150*k**6 + 0 + 1/175*k**7 + 0*k**4. Factor o(n).
-2*n**3*(n - 2)*(2*n + 1)/5
Let x(m) = 11*m - 11. Let i be (-28)/(-10) + (6 - 174/30). Let w be x(i). Factor -8 - 5 - 3*a**2 - 12*a**3 + w + 12*a - 6.
-3*(a - 1)*(a + 1)*(4*a + 1)
Factor -135*f**2 - 3872 + 7735 - 3873 - 145*f.
-5*(f + 1)*(27*f + 2)
Let l(q) be the third derivative of -q**5/50 - 11*q**4/24 - 28*q**3/15 + q**2 - 7674. Let l(y) = 0. What is y?
-8, -7/6
Suppose 27*i = -15*i - 17*i + 51*i. Let j(u) be the first derivative of i*u**2 + 0*u - 3*u**5 - 5 + 5/3*u**3 - 5/2*u**4. Find z, given that j(z) = 0.
-1, 0, 1/3
Let n be ((-264)/2310)/(4/30)*-42*17/408. Let c = -2 + 5. Factor -c*a**3 + n*a**2 - 3/2 + 3*a.
-3*(a - 1)*(a + 1)*(2*a - 1)/2
Let l be (-63)/28*324/(-243). Let o(s) be the first derivative of -1/2*s**2 + 6*s + 1/4*s**4 + 16 - 2*s**l. Factor o(k).
(k - 6)*(k - 1)*(k + 1)
Let u(f) be the third derivative of -f**6/360 - 67*f**5/60 - 3589*f**4/24 - 65863*f**3/18 + 2503*f**2. Factor u(b).
-(b + 7)*(b + 97)**2/3
Let k = -473 + 475. Find u, given that -160*u**k - 65*u + 