+ 3280 = 2904. Suppose 5/4*y**4 + 600*y + 135/4*y**3 + 545/2*y**l + 360 = 0. What is y?
-12, -2, -1
Let v(l) be the third derivative of 0*l + 1/1680*l**7 + 0*l**3 + 44*l**2 + 13/480*l**5 + 1 - 1/120*l**6 - 1/32*l**4. Determine r, given that v(r) = 0.
0, 1, 6
Factor 1/2*d**2 - 1605/8*d + 401/8.
(d - 401)*(4*d - 1)/8
Let d(p) be the second derivative of 7/65*p**6 - 72/13*p**2 + 251/130*p**5 + 0 + 371/39*p**4 - 20/13*p**3 - 3*p. Let d(h) = 0. Calculate h.
-6, -2/7, 1/3
Let t(b) = -5*b - 90. Let h be t(-21). Factor -19 + h - 3*f**2 - 33*f - 13 - 13.
-3*(f + 1)*(f + 10)
Let p(t) = 69*t - 8*t + 13 - 315*t**3 + 64*t - 260*t**2 + 22. Let g(z) = -35*z**3 - 29*z**2 + 14*z + 4. Let a(j) = 35*g(j) - 4*p(j). Factor a(h).
5*h*(h + 1)*(7*h - 2)
Solve 7 + 5*a**3 + 79 - 12 + 1 - 35*a**2 + 35*a = 0.
-1, 3, 5
Let h(p) = 13789*p + 137893. Let o be h(-10). Solve 0*n - 21/4*n**o - 3/2*n**2 + 0 = 0.
-2/7, 0
Let s be (216/(-20))/(-2*6/40). Let o be (-2)/(1 + s/(-33)). Factor o*r + 25*r - 4*r**2 - 43*r.
-4*r*(r - 1)
Let u be ((-21375)/(-3750))/((-7)/(-35)). Determine q, given that -u*q**2 + 0 + 0*q - 3/2*q**3 = 0.
-19, 0
Let h(w) be the first derivative of -5*w**4/4 + 80*w**3 + 245*w**2/2 + 2763. Determine k, given that h(k) = 0.
-1, 0, 49
Let c(l) be the first derivative of 2*l**3/33 + 430*l**2/11 + 92450*l/11 + 107. Factor c(f).
2*(f + 215)**2/11
Let u be (-2)/10 + 8/(160/84). Suppose 9*l - 5*l - 28 = -2*f, 6 = -2*l + u*f. Solve 2/5*b**l - 6/5*b**3 - 2/5*b**2 + 2/5*b**4 + 4/5*b + 0 = 0.
-2, -1, 0, 1
Solve -764 - 104 + 51215*d**2 + 46*d + 120 - 51213*d**2 = 0.
-34, 11
Let k = -117 + 120. Suppose 2*b - 1 - 3 = m, -k*b = -m - 7. Factor -10*o**2 + m*o**2 + 191 + 10*o**2 + 36*o - 29.
2*(o + 9)**2
Let i(p) be the second derivative of -20*p**2 - 1/30*p**4 - 4/3*p**3 + 0 - 117*p. Factor i(z).
-2*(z + 10)**2/5
Let s be -4*2/(-4)*2. Determine q so that -27*q**2 + 48*q**3 - 19*q**2 - 98*q**2 + 72*q**3 - 28*q**s + 2*q**5 = 0.
0, 2, 6
Let b(j) be the first derivative of -2*j**5/15 - j**4 - 16*j**3/9 - 1476. Find q such that b(q) = 0.
-4, -2, 0
Let k = 58667 - 58665. Find b such that 3*b**k + 9/2*b + 1/2*b**3 + 2 = 0.
-4, -1
What is p in -9840*p - 4272*p**3 - 2765 + 147*p**5 + 3140*p**2 + 3785 + 1848*p**4 - 2364 - 22484*p**2 = 0?
-14, -2, -2/7, 4
Factor 20*h + 72*h**3 + 80*h**3 - 107*h**3 + 52*h**2 + 31*h + 47*h**2 - 3*h**4.
-3*h*(h - 17)*(h + 1)**2
Let m(j) = -j**4 - 2*j**3 + j + 1. Let r(q) = q**4 - 12*q**3 - 44*q**2 - 31*q + 1. Let k(y) = -2*m(y) + 2*r(y). Factor k(l).
4*l*(l - 8)*(l + 1)*(l + 2)
Let r(m) = -5*m**3 + 3*m**2 + 7. Let x(b) = b**3 - b**2 - 1. Let h(j) = 2*r(j) + 14*x(j). Factor h(t).
4*t**2*(t - 2)
Let l = 75137 + -75135. Factor 2/3*b - 1/3*b**l + 1.
-(b - 3)*(b + 1)/3
Suppose 2*b = 3*b - 0*b. Factor b*o**2 + 3*o**2 + o + 2*o - 3*o.
3*o**2
Let n be -52*(-4)/48 - 161/69. Let o = 295/3 + -97. Determine u, given that o*u - 1/3*u**3 - 4/3*u**n + 0 + 1/3*u**4 = 0.
-2, 0, 1, 2
Suppose -136 + 100 = -12*r. Let x(b) be the third derivative of 0*b + 0 - b**4 + 8/15*b**r - 49/300*b**6 - 6*b**2 + 21/25*b**5. Let x(c) = 0. What is c?
2/7, 2
Let o(g) = -1364*g + 61382. Let z be o(45). Solve 27/2*b**3 - 42*b**z - 3/2*b**4 - 24 + 54*b = 0 for b.
1, 2, 4
Suppose -5*o + 5*k + 420 + 130 = 0, 2*o = -3*k + 220. What is j in 74*j**2 + 370*j - 365*j - o + 15*j**2 + 21*j**2 - 5*j**3 = 0?
-1, 1, 22
Let o = -129 - -131. Factor 31*n - 67*n + 10 - 1 + 7*n**o - n**3 + 21*n.
-(n - 3)**2*(n - 1)
Let x be (-6 - (0/6 - 1))/(55/(-22)). Solve -40*y - 5/2*y**x - 160 = 0 for y.
-8
Factor 18216/5*h**3 + 65712/5*h + 3/5*h**5 + 456/5*h**4 + 67488/5*h**2 + 0.
3*h*(h + 2)**2*(h + 74)**2/5
Let t be ((-245)/(-15) - 429/33)/((-14)/(-12)). Factor -t*y**2 + 34/7*y + 2/7*y**3 - 16/7.
2*(y - 8)*(y - 1)**2/7
Let k = 188 - 184. Factor -13*a**2 + 13*a**k + a**5 + 8*a**2 - 22*a**2 + 35*a**3 - 22*a**2.
a**2*(a - 1)*(a + 7)**2
Let d(z) be the first derivative of z**5/2 + 5*z**4/8 - 170*z**3/3 - 75*z**2 + 2520*z + 3116. Let d(n) = 0. What is n?
-6, 4, 7
Let o(x) = 14*x + 153. Let c be o(-7). Factor -c*k + 81 - 56*k - 56*k + 252*k + k**2 - 67*k.
(k + 9)**2
Suppose 106 + 139 = 5*w + 5*u, 0 = -3*w + 3*u + 123. Let b be (-11 - (-485)/w)*-2. Determine i so that b*i**3 + 0 + 2/3*i**4 - 4/9*i - 2/3*i**2 = 0.
-1, -2/3, 0, 1
Let t(d) = 2*d**3 + 2*d**2 - d. Let o(b) = 2*b**5 - 6*b**4 - 4*b**3 - b. Suppose 19 = -q + 25. Let p(v) = q*t(v) + 2*o(v). Factor p(j).
4*j*(j - 2)*(j - 1)**2*(j + 1)
Let q = 54915 + -164717/3. Determine v, given that -4*v**2 - 88/3*v - q = 0.
-7, -1/3
Let t = -55 + 60. Suppose -3 = t*u - 6*u. Factor 3*d**u + 18*d**2 + 9*d + 39*d - 36 - 39*d**2.
3*(d - 3)*(d - 2)**2
What is z in z**3 - z + 1/3*z**4 + 10/3 - 11/3*z**2 = 0?
-5, -1, 1, 2
Let q(f) be the third derivative of -f**5/60 - 7*f**4/8 - 52*f**3/3 - 38*f**2 + 6*f. Suppose q(x) = 0. Calculate x.
-13, -8
Suppose 27*t - 10 = -3*f + 22*t, -5*f = t - 24. Factor 30*v + 2 + 53*v**2 - 37*v**2 + f*v**3 - 41*v**2 - 2.
5*v*(v - 3)*(v - 2)
Let a be ((-56)/35)/((-2)/10). Suppose -6 = 5*f - a*f. Factor 4*u**2 + 2*u**f + 3*u**3 - 6*u - 3*u**2.
3*u*(u - 1)*(u + 2)
Let w(n) be the first derivative of n**5/10 - 243*n**4/4 + 242*n**3/3 + 243*n**2/2 - 485*n/2 + 1803. What is m in w(m) = 0?
-1, 1, 485
Let z = 2061 + -1220. Factor 7*u**2 - 3*u - z + u**3 + 766 - 2*u.
(u - 3)*(u + 5)**2
Let n(l) be the second derivative of -2205*l**6/2 + 6573*l**5/2 - 96709*l**4/36 - 626*l**3/9 - 2*l**2/3 + 3052*l. Factor n(k).
-(k - 1)**2*(315*k + 2)**2/3
Let u(v) = -4*v**3 + 67*v**2 + 1292*v - 20814. Let c(r) = -4*r**3 + 68*r**2 + 1292*r - 20816. Let z(l) = -3*c(l) + 4*u(l). What is j in z(j) = 0?
-18, 17
Let t(h) = 6*h**2 + 460*h + 8246. Suppose w + 2*z = 22, 5*w = 5*z + 86 - 21. Let v(x) = 2*x**2 + 153*x + 2748. Let y(o) = w*v(o) - 5*t(o). Factor y(q).
2*(q + 37)**2
Let f be 4/(-18) - (-920)/414. Let b(g) = -g + 11. Let y be b(8). Factor 2*z**2 + 92 + 12*z - 92 - f*z**y.
-2*z*(z - 3)*(z + 2)
Solve 1082/5*u**3 - 2/5*u**4 - 144708/5*u**2 - 295936/5 - 441728/5*u = 0 for u.
-2, -1, 272
Factor -1/2*n**2 + 891/2 + 3*n.
-(n - 33)*(n + 27)/2
Let p be (-2)/15 - (-53)/((-24645)/(-992)). Let n(l) be the second derivative of 1/66*l**4 + 25/11*l**p + 0 - 10/33*l**3 - 7*l. Find u, given that n(u) = 0.
5
Let q(h) be the second derivative of 13/6*h**2 - 1/36*h**4 + 2*h - 2/3*h**3 - 18. Let q(x) = 0. Calculate x.
-13, 1
Let m = -391 + 393. Let 1369 + 4033*g + 4*g**3 - 233*g**2 + 3*g**3 - 4*g**3 + 12*g**m = 0. What is g?
-1/3, 37
Let c(r) be the third derivative of -r**6/420 + 101*r**5/70 - 7701*r**4/28 + 22801*r**3/21 - 14*r**2 - 103*r. Find p, given that c(p) = 0.
1, 151
Let b(a) = -16*a**2 + 678*a - 55161. Let r(n) = 9*n**2 - 340*n + 27584. Let q(k) = 4*b(k) + 7*r(k). Let q(g) = 0. Calculate g.
166
Factor 124*l + 132*l**3 - 29*l**4 - 75*l**2 - 28*l + 9*l**4 - 157*l**2.
-4*l*(l - 4)*(l - 2)*(5*l - 3)
Let t(x) be the second derivative of 1 + 1/21*x**4 + x - 32/7*x**2 - 4/7*x**3. Factor t(s).
4*(s - 8)*(s + 2)/7
Let c(g) = -152*g**3 + 623*g**2 - 640*g. Let l(b) = -303*b**3 + 1245*b**2 - 1281*b - 3. Let z(p) = -9*c(p) + 4*l(p). Determine t, given that z(t) = 0.
1/52, 2
Let r(s) be the third derivative of s**5/15 + 71*s**4/6 - 48*s**3 - 4*s**2 - 110. Factor r(f).
4*(f - 1)*(f + 72)
Factor -1149 + 429*g + 81*g + 784*g - 144*g - g**2.
-(g - 1149)*(g - 1)
Suppose 0 = b - 3, 0*u + 33 = u - b. Factor 9 - 63*y**3 - 4*y**4 - u*y**2 - 9 + 103*y**3.
-4*y**2*(y - 9)*(y - 1)
Let p be 2398/(-37169) + 40/2728*168/10. Determine v, given that 12/11*v**2 + p*v**3 + 0 - 2/11*v**4 + 0*v = 0.
-2, 0, 3
Let x(v) be the first derivative of -v**5/24 + 17*v**4/144 - v**3/18 - 21*v**2/2 - 37. Let j(b) be the second derivative of x(b). Factor j(p).
-(p - 1)*(15*p - 2)/6
Let n(c) be the third derivative of -c**7/105 + 5*c**6/12 - 13*c**5/10 - 157*c**4/12 - 92*c**3/3 + 6*c**2 - 74*c - 1. Factor n(k).
-2*(k - 23)*(k - 4)*(k + 1)**2
Let d(b) be the first derivative of -b**4/16 - 37*b**3/12 - 56*b**2 - 441*b + 386. Suppose d(u) = 0. What is u?
-14, -9
Let c(m) = -44*m**4 - 28*m**3 - 4*m**2 + 16*m. Let j(h) = 37*h**4 + 27*h**3 + 3*h**2 - 17*h. Let b(v) = 5*c(v) + 6*j(v). Solve b(y) = 0 for y.
-11, -1, 0, 1
Let u = 5657/66 - 941/11. Let h(t) be the second derivative of 3/20*t**5 + 0*t**2 + 0*t**3 + 14*t - u*t**6 + 1/6*t**4 + 0. Let h(