tor m(l).
2*(4*l + 3)*(5*l - 2)/13
Suppose 19 + 27 - 4*w**4 - 117*w**2 - 40*w**3 + 80 - 135*w - 180 = 0. What is w?
-6, -3/2, -1
Let d = -132074 + 396230/3. Let 128*v - d*v**2 - 8*v**3 - 2/3*v**4 - 512/3 = 0. Calculate v.
-8, 2
Let d(h) be the second derivative of h**5/80 + 5*h**4/8 - h**3/24 - 15*h**2/4 - 9*h + 5. Let d(p) = 0. What is p?
-30, -1, 1
Find y, given that y**5 - 196*y**2 + 149*y**2 + 36 + 36*y**3 + 0*y**5 + 11*y**4 - 24*y - 13*y**3 = 0.
-6, -1, 1
Suppose -51*r + 53*r + 8 = 0. Let h(s) = 108*s + 1458. Let u(k) = -k**2 + 324*k + 4374. Let i(p) = r*u(p) + 14*h(p). Factor i(n).
4*(n + 27)**2
Let k = 226555/2 - 113273. Let -3/4*g**5 + 39/4*g**2 + 21/4*g**3 - 3/4*g**4 + k*g + 0 = 0. What is g?
-2, -1, 0, 3
Let d(k) be the third derivative of -k**5/360 - 23*k**4/144 + 35*k**3/9 + 6*k**2 - 4*k + 3. Determine t so that d(t) = 0.
-28, 5
Let g(q) be the first derivative of -11*q**4/3 - 19*q**3/3 + 3*q**2 + 319*q - 101. Let k(j) be the first derivative of g(j). Suppose k(u) = 0. Calculate u.
-1, 3/22
Let j(n) be the second derivative of 27 - 1/4*n**5 - 5/2*n**2 - 5/2*n**3 - 5/4*n**4 - n. Factor j(g).
-5*(g + 1)**3
Let s be (-9)/(-15)*280/18*14/((-952)/(-6)). Suppose -60/17 + s*x + 2/17*x**2 = 0. Calculate x.
-10, 3
What is z in -14124/5*z - 2/5*z**2 - 24935922/5 = 0?
-3531
Suppose 2*x = 3 + 1. Factor 2592 + 2*p**x - 22*p - 32*p - 76*p - 14*p.
2*(p - 36)**2
Suppose -226 = -3*n - a, 0*a = -2*n + a + 159. Let k be 209/(-19)*(-28)/n. Determine l, given that 7/3*l**2 + 16/3*l + k + 1/3*l**3 = 0.
-3, -2
Suppose j + 8 = 17. Let f be j*-3*1/(-9). Find z such that -f*z**5 + 2*z**5 - z**4 + 0*z**5 = 0.
-1, 0
Solve 37*f**2 - 6*f + 21*f + 5*f**3 + 3*f**2 + 20*f = 0 for f.
-7, -1, 0
Let n(c) be the third derivative of 3*c**5/40 - 877*c**4/16 + 73*c**3 - 3443*c**2. Factor n(l).
3*(l - 292)*(3*l - 1)/2
Suppose 1254 = -39*s + 61*s. Suppose 0 = 30*b + s - 147. Let -9 + 6*m**2 + 10/3*m**b + 1/3*m**5 - 7/3*m**4 - 9*m = 0. What is m?
-1, 3
Let i(r) be the second derivative of -3*r**5/40 - r**4/2 + 55*r**3/4 - 75*r**2/2 - 25*r + 4. Factor i(l).
-3*(l - 5)*(l - 1)*(l + 10)/2
Suppose 0*c**2 - 1/4*c**3 + 0 + 1/4*c = 0. What is c?
-1, 0, 1
Let d = -2144 + 2156. Let q(u) be the second derivative of d*u - 2/15*u**3 - 2/5*u**2 + 0 - 1/60*u**4. Factor q(i).
-(i + 2)**2/5
What is r in -158*r**2 - 78*r**3 - 1/2*r**5 + 159/2*r**4 + 0*r + 0 = 0?
-1, 0, 2, 158
Let h(o) be the third derivative of -o**8/504 - 34*o**7/315 - 8*o**6/5 + 17*o**5/45 + 289*o**4/36 + 1191*o**2. Solve h(q) = 0.
-17, -1, 0, 1
Factor -47/2*w**3 + 1128*w + 2113/4*w**2 + 1/4*w**4 + 576.
(w - 48)**2*(w + 1)**2/4
Let h be (3304/12 - -5)*-1. Let d = h + 281. Factor 0*q + 0 - d*q**2.
-2*q**2/3
Let z(g) be the first derivative of 21*g**3/4 - 69*g**2/8 + 3*g/2 - 3749. Suppose z(y) = 0. Calculate y.
2/21, 1
Factor 1010/11*c + 600/11 + 32/11*c**3 + 464/11*c**2.
2*(c + 12)*(4*c + 5)**2/11
Let x(m) be the second derivative of -m**4/36 - 1477*m**3/9 - 2181529*m**2/6 + 9*m + 221. Determine i, given that x(i) = 0.
-1477
Let j(g) be the third derivative of -g**7/840 + g**6/40 + g**5/240 - g**4/8 - 907*g**2. Factor j(v).
-v*(v - 12)*(v - 1)*(v + 1)/4
Let o(y) be the third derivative of -y**6/40 + 17*y**5/10 + 35*y**4/8 + y**2 - 137*y. Determine t so that o(t) = 0.
-1, 0, 35
Determine v so that -5120 + 28/5*v**4 - 2944/5*v**2 + 3328*v + 1/5*v**5 - 32/5*v**3 = 0.
-20, 4
Let i(x) be the third derivative of 0*x + 2/45*x**6 + 0*x**3 - 2/315*x**7 + 2*x**2 + 0*x**4 + 26 - 4/45*x**5. Factor i(q).
-4*q**2*(q - 2)**2/3
Determine h, given that -66812/7*h - 1331/7*h**5 + 105754/7*h**4 - 622193/7*h**3 - 584 - 360434/7*h**2 = 0.
-2/11, 7, 73
Let v = -141/22 - -76/11. Let l = 4/1477 - -1469/2954. Solve 0 - v*f + l*f**2 = 0.
0, 1
Suppose -6*r + 13*r = 3*w + 14, 2*w = -r + 2. Let f(p) be the second derivative of 27*p + 6*p**3 + w - 16*p**2 - 1/3*p**4. Factor f(d).
-4*(d - 8)*(d - 1)
Let g(j) be the second derivative of 6*j**2 - 3 + 6*j**4 + 40*j - 29/3*j**3 - 3/5*j**5 - 2/3*j**6 + 1/7*j**7. Solve g(n) = 0 for n.
-2, 1/3, 1, 3
Find v such that 80/11*v + 768/11 - 2/11*v**2 = 0.
-8, 48
Suppose 389 + 16263*k - 389 + 203*k**2 + 126*k**4 - 1125*k - 40*k**3 - 127*k**4 = 0. Calculate k.
-29, 0, 18
Determine w so that -8*w - 16 - 3/4*w**2 = 0.
-8, -8/3
Determine b so that 996/5*b**3 + 0*b + 0 + 3/5*b**4 + 82668/5*b**2 = 0.
-166, 0
Let p(y) be the first derivative of 3*y**3/2 + 109*y**2/4 + 55*y + 7315. Factor p(v).
(v + 11)*(9*v + 10)/2
Solve 1128/13*k + 192*k**2 + 160/13 + 444/13*k**4 + 1802/13*k**3 + 18/13*k**5 = 0 for k.
-20, -2, -1/3
Let i(u) = -9*u**2 + 72*u + 57. Suppose -57*g + 62*g = -10. Let f(o) = 9*o**2 - 73*o - 56. Let l(a) = g*i(a) - 3*f(a). Factor l(x).
-3*(x - 9)*(3*x + 2)
Let b(w) be the second derivative of 2*w**2 - 1/4*w**4 + 1/30*w**6 - 137*w - 2/3*w**3 + 1/10*w**5 + 0. Factor b(y).
(y - 1)**2*(y + 2)**2
Let u(a) = 3*a**2 - 2004*a - 332901. Let v(w) = -w**2 + w + 39. Let c(z) = u(z) + 6*v(z). Solve c(s) = 0 for s.
-333
Let r(f) be the third derivative of -f**5/30 + 890*f**4/3 - 3168400*f**3/3 - 10*f**2 - 48*f. Let r(p) = 0. Calculate p.
1780
Suppose 2*s = 5*i + 6, -89*i - 8 = -85*i - 2*s. Factor 16/9*x - 2/9*x**i + 8/3 - 2/9*x**3.
-2*(x - 3)*(x + 2)**2/9
Let d(r) = 6*r**4 - 429*r**3 + 110*r**2 - 5*r + 20. Let j(v) = -8*v**4 + 427*v**3 - 110*v**2 + 6*v - 24. Let b(q) = -6*d(q) - 5*j(q). Factor b(l).
l**2*(l + 110)*(4*l - 1)
Let v be (-2667)/(-91)*(-1)/3. Let o = -531/65 - v. Factor 2/5*u - o*u**3 + 1/5*u**2 + u**4 + 0.
u*(u - 1)**2*(5*u + 2)/5
Let t(s) be the first derivative of s**5/30 - s**4/2 + 3*s**3 + s**2 + 29*s + 82. Let y(b) be the second derivative of t(b). Factor y(n).
2*(n - 3)**2
Let t(w) be the first derivative of -w**4/18 + 4066*w**3/9 - 4133089*w**2/3 + 16805139874*w/9 + 4052. Determine i so that t(i) = 0.
2033
Factor 2*j + 20*j**2 + 317025*j**3 - 317030*j**3 - 80 + 18*j.
-5*(j - 4)*(j - 2)*(j + 2)
Let s(k) = 6*k**2 + 2*k - 4. Let m(v) = v. Let o(j) = -7*j**2 + 3*j + 2. Let d(c) = -5*m(c) + o(c). Let x(n) = -4*d(n) - 5*s(n). Factor x(t).
-2*(t - 2)*(t + 3)
Factor 26/5*l + 48/5 - 4*l**2 + 2/5*l**3.
2*(l - 8)*(l - 3)*(l + 1)/5
Let l(b) be the third derivative of b**6/420 + 31*b**5/210 + 59*b**4/84 + 29*b**3/21 + b**2 - 394. Factor l(k).
2*(k + 1)**2*(k + 29)/7
Factor -2/3*f**5 + 17/6*f**4 - 10/3*f**3 + 0 + 2/3*f**2 + 0*f.
-f**2*(f - 2)**2*(4*f - 1)/6
Let s(l) be the second derivative of 139/105*l**6 - 123/35*l**5 + 32/21*l**3 - 4*l - 16/7*l**4 - 6/49*l**7 + 0*l**2 + 1. Find b, given that s(b) = 0.
-1/2, 0, 2/9, 4
Let o be (12/27)/((-40)/(-180)). Factor 136*s - 20*s + 276 + 154*s + 5*s**o + 3369.
5*(s + 27)**2
Let h(s) be the second derivative of -5*s**4/6 + 2615*s**3/6 + 655*s**2 + 1858*s - 2. Find k such that h(k) = 0.
-1/2, 262
Let l = 1138/91 + -2504/273. Determine b so that l + 31*b - 19/3*b**2 = 0.
-2/19, 5
Let c(d) = 5*d**2 + 288*d + 267. Let m(u) = 29*u**2 + 1723*u + 1602. Let n(s) = 69*c(s) - 12*m(s). Factor n(r).
-3*(r + 1)*(r + 267)
Let j(g) = -g**3 + 2*g**2 + 6*g - 6. Let x be j(3). Let f(s) be the first derivative of -s**2 + 10*s**2 - s**x - 15*s + 3 - 9. Suppose f(h) = 0. What is h?
1, 5
Let b(a) = -a**3 - 5*a**2 - a - 3. Let x be b(-5). Factor -211*n + 4*n**3 - 112*n**x + 0*n**3 + 1095*n - 1352.
4*(n - 13)**2*(n - 2)
Let l(r) be the second derivative of r**4/96 - 355*r**3/48 + 177*r**2/8 + 557*r + 3. Factor l(d).
(d - 354)*(d - 1)/8
Let y(a) be the second derivative of -a**5/170 + a**4/34 + 36*a**3/17 + 471*a. Find h, given that y(h) = 0.
-9, 0, 12
Let r be 12/34*24718/4362. Factor -1/3*a + 0 + 0*a**r + 1/3*a**3.
a*(a - 1)*(a + 1)/3
Let p(s) = -140*s**3 + 280*s**2 - 126*s - 4. Let c(f) = 5*f**2 + 4*f + 1. Let i(q) = -c(q) + p(q). Factor i(d).
-5*(d - 1)**2*(28*d + 1)
Let i(c) be the second derivative of -c**4/3 - 1220*c**3/3 - 186050*c**2 - c + 523. Determine o, given that i(o) = 0.
-305
Determine s, given that 2/13*s**2 + 32258/13 - 508/13*s = 0.
127
Let m(z) = z**3 - 28*z**2 - 94*z + 34. Let v be m(31). Let r(x) = 39*x - 114. Let d be r(v). Factor -96/5 + 6/5*h**d + 144/5*h - 54/5*h**2.
6*(h - 4)**2*(h - 1)/5
Let k(o) be the second derivative of o**4/4 - 19*o**3 + 420*o**2 + 3102*o. Factor k(f).
3*(f - 28)*(f - 10)
Let c be (-40)/(-4)*((-5)/12)/((-45)/27). Solve 25/2*s**3 + 45 - 5/2*s**4 - 105/