+ 6)**2/9
Let u(m) = -13*m**2 + 122*m - 3019. Let b(x) = -28*x**2 + 246*x - 6037. Let y(s) = 6*b(s) - 13*u(s). Suppose y(w) = 0. What is w?
55
Let m(t) be the second derivative of 52 - t + 1/15*t**6 - t**4 + 0*t**5 + 8/3*t**3 - 3*t**2. Factor m(f).
2*(f - 1)**3*(f + 3)
Let d(s) = 7*s**2 + 113*s - 567. Let j(q) = -11*q**2 - 109*q + 566. Let g(m) = 4*d(m) + 3*j(m). Factor g(f).
-5*(f - 19)*(f - 6)
Let t(x) be the second derivative of x**5/40 - 17*x**4/6 + 133*x**3/12 - 33*x**2/2 - 613*x. Factor t(q).
(q - 66)*(q - 1)**2/2
Let t(b) be the second derivative of -b**5/80 - 91*b**4/24 - 10033*b**3/24 - 18723*b**2 + 12135*b. Determine p, given that t(p) = 0.
-79, -24
Determine k so that -72/5*k - 64 - 4/5*k**2 = 0.
-10, -8
Suppose 1255*n + 1118*n + 2679*n = 20208. Solve -1/2*f**5 - 441/2*f + 462*f**2 + 22*f**n - 263*f**3 + 0 = 0 for f.
0, 1, 21
Let f be -1 - (3 + (-42)/6). Factor 33*v**2 + 9*v**3 - 108 - f*v**4 + 7*v**3 - 36*v - 12*v**3 + 2*v**3.
-3*(v - 3)**2*(v + 2)**2
Let o(b) = b**3 - 15*b**2 - 17*b + 21. Let i be o(16). Suppose i*f - 4*f = 6. Determine j so that -f*j**3 - j**3 - 5*j**3 - 44*j**2 + 21*j - 5*j = 0.
-4, 0, 1/3
Let y(w) = -5*w**3 - 12*w**2 + 15*w + 2. Let k(n) = -2*n**3 + n**2 + 1. Let d = 1013 + -1019. Let g(t) = d*k(t) + 3*y(t). Find f, given that g(f) = 0.
-15, 0, 1
Let h(n) = n**3 + 5*n**2 + n - 1. Let t(y) = 13*y**3 - 16*y**2 + 139*y - 32. Let p(q) = -40*h(q) + 5*t(q). Suppose p(k) = 0. What is k?
1/5, 3, 8
Suppose 30*i - 14*i + 16*i = -16*i. Let m(s) be the third derivative of i - 1/24*s**6 + 0*s + 4*s**2 + 1/42*s**7 + 0*s**4 + 0*s**3 + 0*s**5. Factor m(k).
5*k**3*(k - 1)
Find r such that 3111*r**3 - 2649*r**2 - 345*r**4 + 4008*r - 262*r**2 - 780 + 1106*r**2 - 1252*r**2 - 2946*r**2 + 9*r**5 = 0.
1/3, 1, 10, 26
Suppose 238/9*w**2 - 2/9*w**4 - 392/3*w + 4/9*w**3 + 0 = 0. Calculate w.
-12, 0, 7
Let h = -96002 + 672015/7. Determine s, given that h*s**2 - 5/7*s + 4/7 = 0.
1, 4
Solve 315/2 + 18*z + 1/2*z**2 = 0 for z.
-21, -15
Let w = 2176 - 2174. Let j(f) be the second derivative of 0 - 1/6*f**4 - 5/3*f**3 - 6*f**w - 25*f. Solve j(i) = 0.
-3, -2
Let r(q) = 3*q**2 + 13. Let j(y) = y**2 + 1. Let p be ((-16)/6)/(20/(-90)). Let g(n) = p*j(n) - 3*r(n). Let g(h) = 0. What is h?
-3, 3
Let l(s) = -8*s - 29. Let m be l(-7). Let a = m - 22. Factor -2*f**4 + 8*f + a*f**3 - 34*f**2 + 5*f**3 + 18*f**2.
-2*f*(f - 2)**2*(f - 1)
Let r(w) = 9*w**2 + w - 24. Let l be r(-4). Factor -112*o**2 - l*o**2 + 108*o - 107*o**2 + 332*o**2 - 972.
-3*(o - 18)**2
Let y(n) = 2*n**4 - 315*n**3 + 1913*n**2 - 91*n - 10201. Let q(f) = 3*f**4 - 318*f**3 + 1914*f**2 - 90*f - 10206. Let k(s) = 5*q(s) - 6*y(s). Factor k(j).
3*(j - 4)**2*(j + 2)*(j + 106)
Let h = 172819 - 172817. Factor 10 + 7/2*i**h + 1/4*i**3 + 11*i.
(i + 2)**2*(i + 10)/4
Let t = 2264 + -1117. Let y = 1149 - t. Factor 2/7*f**y + 4/7*f + 0.
2*f*(f + 2)/7
Let d(c) = 278*c - 37252. Let u be d(134). What is n in 2*n**2 - 288/7*n**4 - 4/7*n + u + 80/7*n**3 = 0?
-2/9, 0, 1/4
Let m(g) = g**3 + 10*g**2 - 2*g - 14. Let o be m(-10). Suppose -18 = -o*x - 0*x. Factor 92*b + 12 - 92*b - x*b**2.
-3*(b - 2)*(b + 2)
Let z(g) = g**2 + 8*g + 16. Let l be z(-6). Suppose 8*t + 0*t**2 - 3*t**l - 2*t**3 - 2*t - 5*t - 3 + 6*t**2 + t**5 = 0. Calculate t.
-1, 1, 3
Let a(m) be the first derivative of m**4/32 - m**3/8 - 638. Factor a(k).
k**2*(k - 3)/8
Suppose -3*t - 4 = t. Suppose -8 + 2 = -6*x. Let i(y) = -y**2. Let n(b) = -b - 6. Let f(w) = t*i(w) + x*n(w). Factor f(m).
(m - 3)*(m + 2)
Factor -8/7*n**3 - 34/7*n + 12/7 - 54/7*n**2.
-2*(n + 1)*(n + 6)*(4*n - 1)/7
Let h(c) be the second derivative of c**6/24 + 5*c**5/12 + 5*c**4/3 + 10*c**3/3 - 45*c**2/2 + 4*c - 1. Let q(o) be the first derivative of h(o). Factor q(i).
5*(i + 1)*(i + 2)**2
Let b = 4190/121 - 25019/726. Factor -b*g**2 + 2/3*g + 0.
-g*(g - 4)/6
Let k be -135 + 135 + 13*2. Let x(v) = 32*v - 830. Let l be x(k). Determine z, given that -8/3*z + 0 + 1/3*z**4 - 17/6*z**3 + 20/3*z**l = 0.
0, 1/2, 4
Let r(u) = u**2 + 2*u - 59. Let g be r(-9). Factor 88 + 97*b - 212 + 101*b - 23*b**2 - g*b**2 - 239.
-3*(3*b - 11)**2
Suppose -10 = -5*a, 0 = -3*l - 4*a + 2*a + 10. Find m such that 9*m**3 + l*m**5 + 11*m**4 + 5*m**4 + 36*m**2 + 33*m**3 = 0.
-3, -2, 0
Let n(i) = 3*i**2 - 105*i - 108. Let k(r) = 2*r**2 - 105*r - 107. Let s(l) = 7*l - 65. Let v be s(9). Let b(f) = v*k(f) + 3*n(f). Factor b(p).
5*(p - 22)*(p + 1)
Let d be 0 + (-357)/(-154) - 2*(280/(-55) - -5). Factor d*p + 1/2*p**3 + 1 + 2*p**2.
(p + 1)**2*(p + 2)/2
Factor -62208*x + 8671 - 416*x**5 + 2928*x**2 - 84*x**5 + 20236 + 52944*x**2 - 1259 + 5600*x**4 - 25040*x**3.
-4*(x - 2)**2*(5*x - 12)**3
Let y(i) be the third derivative of 5*i + 1/180*i**6 + 0*i**3 + 0 - 1/18*i**5 + 3*i**2 + 1/9*i**4. Factor y(h).
2*h*(h - 4)*(h - 1)/3
What is b in -234/11 + 12/11*b**3 - 152/11*b**2 + 372/11*b + 2/11*b**4 = 0?
-13, 1, 3
Let t(y) be the second derivative of -y**5/8 + 835*y**4/24 + 635*y**3/3 + 425*y**2 + 10236*y. Factor t(k).
-5*(k - 170)*(k + 1)*(k + 2)/2
Let f(t) be the first derivative of -t**3/9 - 125*t**2/6 + 42*t + 3597. Factor f(c).
-(c - 1)*(c + 126)/3
Let p = -18283 - -18307. Let z(u) be the second derivative of -1/3*u**4 + 0 + 0*u**2 + 1/5*u**5 - 4*u**3 - p*u. Factor z(f).
4*f*(f - 3)*(f + 2)
Let h be ((-8)/7)/((-208)/(-56) + -4). Determine i, given that 228*i + 67*i**2 - 367*i**3 + 250*i**3 + 48*i**h + 216 - 148*i**2 - 69*i**2 + 3*i**5 = 0.
-18, -1, 2
Factor 419*v**2 - 243167*v + v**4 + 242777*v - 84*v**3 + 54*v**2.
v*(v - 78)*(v - 5)*(v - 1)
Factor 2/11*k**3 - 1360/11 + 1546/11*k - 188/11*k**2.
2*(k - 85)*(k - 8)*(k - 1)/11
Let s be 3/5*15*6/18. Solve 96*i**2 + 36 - i**3 - 3*i**s + 95*i**2 - 195*i**2 + 36*i = 0 for i.
-3, -1, 3
Suppose 174*u + 3*a + 26 = 179*u, 3*a + 6 = 0. Factor 0*j + 0 + 0*j**2 + 0*j**3 + 6/5*j**u - 3/5*j**5.
-3*j**4*(j - 2)/5
Let l = -56 - -78. Suppose 2*b - 4*r - 16 = 0, -524*b = -528*b - r + 5. Find a, given that -8*a - 30*a**3 + 13*a + 10*a**b - 4 + l*a**3 + 9*a = 0.
-1, 1/4, 2
Let z be (-4)/2 + -2 + 6. Let s(r) = r**2 + 16*r - 224. Let x be s(-25). Factor -36*p**3 - 1 - 118*p**z + 122*p**2 + 24*p + x - 16*p**4.
-4*p*(p + 1)*(p + 2)*(4*p - 3)
Suppose -6*b + 5*b + 8 = 2*x, 3*b - 5*x - 24 = 0. Suppose -k - b*k = -5*k. Let -1/4*u**2 + 0*u + k = 0. What is u?
0
Suppose 30*r + 38*r = 64*r. Suppose r = 4*s - 33 + 25. What is g in -1/3*g**3 - g + 1/3 + g**s = 0?
1
Let u(x) be the second derivative of x**5/10 + 26*x**4/3 - 93*x**3 + 342*x**2 + 28*x + 20. Factor u(p).
2*(p - 3)*(p - 2)*(p + 57)
Let n(y) be the third derivative of -y**5/450 + 9*y**4/10 - 64*y**3/9 + 3*y**2 + 252. Suppose n(c) = 0. Calculate c.
2, 160
Let d(a) be the first derivative of -91 + 1/18*a**3 + 0*a - 1/30*a**5 + 1/6*a**2 - 1/12*a**4. Factor d(c).
-c*(c - 1)*(c + 1)*(c + 2)/6
Let x(d) be the first derivative of -17/6*d**3 + 1/2*d**5 - d**2 + 4 + 0*d + 2*d**4. Determine f, given that x(f) = 0.
-4, -1/5, 0, 1
Let o = 4 - 3. Let p(q) = 20*q**3 - 70*q**2 - 50*q - 60. Let z(b) = -3*b - b**3 + 1 + 6*b + b + b**2 - 5*b. Let c(j) = o*p(j) + 25*z(j). Factor c(r).
-5*(r + 1)**2*(r + 7)
Let z(g) be the first derivative of g**5 - 115*g**4 + 905*g**3/3 - 225*g**2 - 257. Solve z(v) = 0.
0, 1, 90
Let o(i) be the first derivative of -5/2*i**2 - 25/2*i - 1/6*i**3 - 76. Factor o(k).
-(k + 5)**2/2
Let m(n) be the first derivative of -11*n**6/21 - 8*n**5/7 + 2*n**4/7 + 44*n**3/21 + n**2 - 4*n/7 + 831. Let m(x) = 0. What is x?
-1, 2/11, 1
Let n be (2 - -29)*-1 - (8 - 9). Let u be (-43)/(-35) + (12 - (-354)/n). Factor 16/7*x - 6/7 - u*x**2.
-2*(x - 1)*(5*x - 3)/7
Find k, given that 97 + 129446*k**2 - 129364*k**2 - 2*k**3 - 19 - 158*k = 0.
1, 39
Suppose 5992*y + 78 + 161*y**2 + y**4 - 39*y**3 - 4*y**3 - 6189*y = 0. What is y?
1, 2, 39
Let o be 32/(-6)*60/(-80). Determine u so that -2*u**o + 60 - 100*u**3 + 174*u**2 - 178*u - 116*u**3 + 162*u**3 = 0.
-30, 1
Let g be 120*(-215)/(-903) - 28. Find b, given that 4/7*b**4 + 0*b**3 - 2/7*b**5 - g*b**2 + 2/7*b + 0 = 0.
-1, 0, 1
Let d(l) be the second derivative of l**6/30 + l**5/4 + l**4/6 - l**3/2 - 9*l + 12. Let j(n) = n**3 + n**2 - n. Let r(a) = 4*d(a) - 20*j(a). Factor r(u).
4*u*(u - 1)**2*(u + 2)
Suppose 0 = 3*s - 4*t, -31*s - 2*t = -32*s. Let h(f) be the third derivative of -4*f**2 + 0 + 1/66*f**5 - 4/3