irst derivative of t*x - 18 - 2/5*x**5 + 8/3*x**3 + 4*x**2 - 1/2*x**4. Find s, given that p(s) = 0.
-2, -1, 0, 2
Let i(r) be the third derivative of -r**6/160 - 9*r**5/20 + 37*r**4/32 - 12*r**2 - 64*r. Determine w, given that i(w) = 0.
-37, 0, 1
Suppose -81*o - 287*o + 78*o = 179*o. What is k in o - 21/8*k - 3/8*k**2 = 0?
-7, 0
Let r(q) = -4*q**2 - 60*q + 348. Let h(s) = -4*s**2 - 58*s + 351. Let p(g) = 4*h(g) - 3*r(g). Factor p(w).
-4*(w - 5)*(w + 18)
Let q = 57/106 - 2/53. Let k = -279 - -1117/4. Factor k*p - q + 1/4*p**2.
(p - 1)*(p + 2)/4
Suppose -5*o - 12 = -4*l, 10*l = 2*o + 8*l + 6. Let r = o - -2. Factor -2 + 5/3*d - 1/3*d**r.
-(d - 3)*(d - 2)/3
Let b be (2 - -12) + (-696)/51. What is d in -b - 24/17*d**2 + 12/17*d**3 + 20/17*d - 2/17*d**4 = 0?
1, 3
Suppose 0 = 2*t - 2*z + 14, 29683 = -2*t - 3*z + 29719. Suppose 1/4*o**t + 33/2*o**2 + 2662 + 363*o = 0. What is o?
-22
Suppose -2*k = 4*h + 16, -5*h = 3*k - 145 + 168. Let y be 41/k - (20 - 15 - 12). Factor -y*z**3 + 0*z - 1/2*z**2 + 2/3.
-(z - 1)*(z + 2)**2/6
Let d = 532 - 519. Suppose d*x - 16*x = 0. Factor 0 - 4/19*w**3 + 14/19*w**4 - 10/19*w**5 + 0*w + x*w**2.
-2*w**3*(w - 1)*(5*w - 2)/19
Factor -26/7*q + 2/7*q**3 + 0 - 24/7*q**2.
2*q*(q - 13)*(q + 1)/7
Let j(s) be the second derivative of -2*s**6/15 + 7*s**5 - 33*s**4 + 194*s**3/3 - 64*s**2 + 4*s + 152. Factor j(b).
-4*(b - 32)*(b - 1)**3
Let x(u) = -3*u**4 + 2*u**3 + u**2 - 10*u + 2. Suppose z = 5*a - 3, 5*a = -4*z + 11 + 2. Let j(i) = -i**4 - i**2 - i - 1. Let v(w) = z*j(w) - x(w). Factor v(l).
(l - 2)*(l - 1)**2*(l + 2)
Let w = 76879 + -1306925/17. What is m in 32/17*m**3 - 42/17*m**4 + 0 + 0*m - 8/17*m**2 + w*m**5 = 0?
0, 2/3, 1
Let o(g) be the third derivative of -g**5/90 - 19*g**4/6 + 39*g**3 - 4173*g**2. Factor o(m).
-2*(m - 3)*(m + 117)/3
Let z(i) be the second derivative of i**4/6 - 131*i**3/6 + 15*i**2/2 + 221*i. Let g(f) = -f**2 + 130*f - 12. Let o(n) = 5*g(n) + 4*z(n). Factor o(c).
3*c*(c + 42)
Suppose 12 + 296/3*s**2 - 94*s + 40/9*s**4 - 326/9*s**3 = 0. What is s?
3/20, 2, 3
Let c(x) = -6*x**2 + 7*x - 14. Let b be c(-13). Let y = 3389/3 + b. Factor y*f**2 + 0 + 4/3*f**4 + 16/3*f + 20/3*f**3.
4*f*(f + 1)*(f + 2)**2/3
Let i be (-21600)/(-38)*(-977)/(-1954). Factor 1260/19*z**2 - 6750/19 + 2/19*z**4 + 88/19*z**3 + i*z.
2*(z - 1)*(z + 15)**3/19
Let y = 37229/20 + -7381/4. Let i(j) be the second derivative of 0 + 1/50*j**5 + y*j**3 - 729/5*j**2 - 9/10*j**4 - 26*j. Solve i(c) = 0 for c.
9
Suppose 11*d - 14*d = -2*b - 303, -5*d - b = -492. Suppose -d = 266*f - 299*f. Find q, given that 0 + 0*q - 4/9*q**2 - 4/9*q**f = 0.
-1, 0
Solve -12 + 34*v + 90*v - 399*v**2 - 140*v**4 + 551*v**3 - 34*v**2 = 0 for v.
1/4, 2/7, 2/5, 3
Let c be (1/(-2))/((-4)/312). Let u = -36 + c. Factor 6*w**u - 7*w**3 - 3*w**2 + 12 - 6*w**2 - 2*w**3.
-3*(w - 1)*(w + 2)**2
Let b(d) = d**2 + 1. Let k = -425 - -424. Let c be b(k). Determine o, given that 0 - 2/15*o**c + 4/15*o = 0.
0, 2
Let t be (4/124)/((-59)/(-3658)). Suppose 2/15 + 2/15*r**3 + 2/5*r**t + 2/5*r = 0. What is r?
-1
Let u(c) be the third derivative of c**7/42 - 7*c**6/24 - c**5 + 125*c**4/6 - 280*c**3/3 + 9256*c**2. Factor u(m).
5*(m - 7)*(m - 2)**2*(m + 4)
Let r(q) be the third derivative of -q**8/1008 - 2*q**7/63 - 11*q**6/30 - 16*q**5/9 - 32*q**4/9 - 1630*q**2. Factor r(m).
-m*(m + 2)**2*(m + 8)**2/3
Let p(r) = 24*r**3 + 518*r**2 + 356*r + 50. Let o(q) = -97*q**3 - 2073*q**2 - 1425*q - 200. Let t(b) = 8*o(b) + 34*p(b). Determine n, given that t(n) = 0.
-25, -1/2, -1/5
Let i(y) be the third derivative of -7/6*y**4 + 0*y + 4*y**3 + 1/15*y**5 + 0 - 68*y**2. What is g in i(g) = 0?
1, 6
Let p(d) be the second derivative of 0*d**2 - 7/20*d**4 + 0*d**3 + 36*d + 0 - 1/50*d**6 + 6/25*d**5. Factor p(i).
-3*i**2*(i - 7)*(i - 1)/5
Let i(m) = 2974*m - 2868*m + 269 - 57 + 5*m**2 - 4*m**2. Let h be i(-2). Find s such that 6*s**3 + 3*s + 45/4*s**2 + 0 - 9/4*s**h = 0.
-1, -1/3, 0, 4
Factor -2484*h - 4/7*h**3 - 6804 - 516/7*h**2.
-4*(h + 3)*(h + 63)**2/7
Let u = -11 + 15. Let q(k) = -5*k**2 + 16*k - 24. Let y(a) = 10*a**2 - 31*a + 49. Let t = 1196 - 1187. Let n(c) = t*q(c) + u*y(c). Factor n(d).
-5*(d - 2)**2
Let n(p) be the third derivative of 3/5*p**3 + 0*p**5 + 59*p**2 + 0*p - 1/200*p**6 + 0 + 7/40*p**4. Let n(f) = 0. What is f?
-2, -1, 3
Factor 1196*s**2 + 529*s**2 - 1219*s**4 + 490*s**3 - 13730*s**2 + 1214*s**4.
-5*s**2*(s - 49)**2
Let v(q) be the third derivative of -q**6/180 + 11*q**5/45 + 109*q**4/36 - 130*q**3/9 + 21*q**2 + 44. Factor v(h).
-2*(h - 26)*(h - 1)*(h + 5)/3
Suppose 31*s - 32*s = -4, -g - 8 = -5*g + s. Solve 0 - 14/17*n**g + 52/17*n**2 + 16/17*n = 0.
-2/7, 0, 4
Let t be 1/((-1)/4) + 4. Suppose 4*y = 4*i - 2*i + 20, -3*i - 4*y + 20 = t. Find r, given that 6*r**2 - 5*r**2 + i*r**4 + 2*r**5 - r**4 - r**5 - r**3 = 0.
-1, 0, 1
Let j(t) = 2*t**2 - 35*t - 93. Let n be j(43). Let l be n/(-168)*4/(-7). Factor -2/7*s**5 - 38/7*s**3 - 2*s**4 - 32/7*s - l*s**2 - 8/7.
-2*(s + 1)**3*(s + 2)**2/7
Let y(b) be the third derivative of 1/15*b**5 - 225*b**2 + 0*b + 0 + 1/6*b**4 - 8*b**3. Factor y(q).
4*(q - 3)*(q + 4)
Suppose 0 = -2*o - 3*w - 57, 2*w = -o - o - 60. Let t = -31 - o. Suppose 12*a - a**2 - a**t - 12 + 9*a - 3*a**3 - 4*a**2 = 0. Calculate a.
-4, 1
Determine j so that 2*j**5 + 4440*j + 3303*j - 1105 - 8094*j**2 - 183*j**4 - 695 - 723 + j**5 + 3054*j**3 = 0.
1, 29
Let q(u) = -99*u**2 - 3*u - 37. Let r(h) = 14*h**2 + 2*h + 1. Let c(n) = -5*q(n) - 35*r(n). Let c(j) = 0. Calculate j.
5, 6
Let k(c) be the third derivative of c**8/112 + 3*c**7/35 - 3*c**6/5 + 13*c**5/10 - 9*c**4/8 - 7*c**2 - 33*c. Let k(r) = 0. What is r?
-9, 0, 1
Let y(q) be the third derivative of q**5/360 - 91*q**4/72 + 10*q**3 + 3566*q**2. Solve y(t) = 0.
2, 180
Let x = 478952/359277 - -28/119759. Let n be (-4)/(-2) + (-4)/(-6). Factor n - 8/3*j**2 - 4/3*j**3 + x*j.
-4*(j - 1)*(j + 1)*(j + 2)/3
Factor 0 - 2/9*l**5 + 0*l + 32/9*l**4 + 38/3*l**3 + 0*l**2.
-2*l**3*(l - 19)*(l + 3)/9
Let t(s) be the third derivative of -s**5/180 + 55*s**4/72 + 1871*s**2. Solve t(b) = 0.
0, 55
Let a be 18 - ((78 - 40) + -23). Determine z, given that 6*z**a - 96/11*z**2 - 18/11*z**5 + 24/11*z**4 + 24/11*z + 0 = 0.
-2, 0, 1/3, 1, 2
Factor 3*w**3 - 8*w**3 + 20*w - 15*w**3 - 254*w**4 + 259*w**4 - 5*w**2.
5*w*(w - 4)*(w - 1)*(w + 1)
Let s(z) be the third derivative of 0*z**4 - 1/280*z**7 + 0*z**3 + 2*z + 1/160*z**6 + 0 + 0*z**5 - 49*z**2. Solve s(t) = 0 for t.
0, 1
Factor -2/7*k**3 - 20016/7*k**2 - 66773376/7*k - 74251994112/7.
-2*(k + 3336)**3/7
Let x = 2094/29 - 18788/261. Find m such that -x*m**3 - 8/9*m**2 - 2/3*m + 0 = 0.
-3, -1, 0
Factor -12932/11*o + 14/11*o**2 - 336.
2*(o - 924)*(7*o + 2)/11
Let g(k) be the first derivative of 5*k**3/3 + 124*k**2 + 5041*k + 27. Let o(b) = -b**2 - b + 1. Let m(u) = g(u) + 2*o(u). Find a, given that m(a) = 0.
-41
Let r(n) be the first derivative of -2*n**3/9 + 1496*n**2/3 - 1119008*n/3 + 6239. Factor r(z).
-2*(z - 748)**2/3
Let u = -324 + 328. What is n in 3*n - 317*n**2 + u*n**4 + 5*n**3 - 3*n**4 + 324*n**2 = 0?
-3, -1, 0
Let a(y) be the third derivative of y**6/120 - 2*y**5/5 + 33*y**4/8 - 38*y**3/3 - y**2 - 1588*y. Let a(b) = 0. Calculate b.
1, 4, 19
Let s = 51115/8 + -6389. Factor -3/4*v + 15/8*v**2 - 3/2*v**3 + s*v**4 + 0.
3*v*(v - 2)*(v - 1)**2/8
Suppose -140832/5*j**2 - 1990656/5 + 2/5*j**5 - 276/5*j**4 + 12114/5*j**3 - 1202688/5*j = 0. Calculate j.
-3, 48
Find u, given that -11043*u**3 - 25*u**4 + 3*u**2 + 37*u**2 + 5*u**5 + 11053*u**3 = 0.
-1, 0, 2, 4
Let r(b) be the third derivative of -b**5/180 + 245*b**4/4 - 540225*b**3/2 - b**2 - 431*b. Factor r(c).
-(c - 2205)**2/3
Let f(a) be the third derivative of -5*a**6/12 + 114*a**5 - 3143*a**4/4 + 6566*a**3/3 - 8085*a**2. Determine i, given that f(i) = 0.
7/5, 134
Solve -1/7*j**5 + 0*j**4 + 23/7*j**3 - 18/7*j**2 + 0 - 40/7*j = 0.
-5, -1, 0, 2, 4
Let r = -28069/10 - -2807. Let a = 197/5 - 39. Factor -3/10 - 1/5*i**3 + 1/5*i - r*i**4 + a*i**2.
-(i - 1)**2*(i + 1)*(i + 3)/10
Let b = 5604 - 5599. Let h(l) be the second derivative of -24*l + 1/48*l**4 + 0*l**3 + 0*l**2 + 0 + 7/80*l**b + 3/56*l**7 + 1/8*l**6. Factor h(x).
x**2*(x + 1)*(3*x + 1)**2/4
Let h be ((-2858)/(-30))/((-36)/60). Let y = h + 159. Factor y*s**2 - 4/9 - 2/9*s.
2*(s - 2)*(s + 1)/9
Let u(f) be the f