2/5 - 192*l/5 + 4831. Factor o(p).
(p - 24)*(p + 8)/5
Solve o**5 - 24 + 81*o - 12 + 240*o**2 + 6*o**4 - 170*o**2 - 2*o**5 - 120*o**2 = 0 for o.
-3, 1, 3, 4
Let d = 43 + -46. Let g be ((-8)/(-28))/(d/(-21)). Factor 7 + 22 + 7 - 20 + 4*h**3 - 12*h**g.
4*(h - 2)**2*(h + 1)
Let a(p) be the third derivative of -p**6/540 + 127*p**5/540 - 151*p**4/108 - 61*p**3/18 - 237*p**2 + 1. Factor a(g).
-(g - 61)*(g - 3)*(2*g + 1)/9
Let z(i) be the first derivative of i**4/12 - 256*i**3/3 + 49407*i**2/2 - 293378*i/3 - 3308. Factor z(j).
(j - 383)**2*(j - 2)/3
Let a(y) be the second derivative of -y**5/4 - 107*y**4/12 + 229*y**3/3 + 100*y**2 - 288*y. Find k such that a(k) = 0.
-25, -2/5, 4
Let j = -128517 + 128522. Let 4/3*w**2 + 4*w**3 + 2 - 14/3*w + 2/3*w**j - 10/3*w**4 = 0. What is w?
-1, 1, 3
Let g(p) = p**2 - 4*p + 1. Let l(z) = 2*z**2 + 67*z + 1231. Let q(s) = -2*g(s) + 2*l(s). Find t, given that q(t) = 0.
-41, -30
Let n = -489 - -497. Let r(t) be the second derivative of -2/7*t**3 + 5/7*t**2 - n*t + 1/42*t**4 + 0. What is o in r(o) = 0?
1, 5
Suppose 392 - 8 = 619*v - 854. Solve -1/4*n**3 + 0 - 121*n - 11*n**v = 0 for n.
-22, 0
Determine x, given that 7/4*x**4 - 33*x - 9/2*x**3 - 9 - 121/4*x**2 = 0.
-2, -1, -3/7, 6
Let w(b) = 5*b**4 + 60*b**3 - 189*b**2 + 192*b - 54. Let l(r) = -r**4 - 21*r**3 + 63*r**2 - 63*r + 18. Let a(g) = -7*l(g) - 2*w(g). Factor a(y).
-3*(y - 6)*(y - 1)**3
Let q(h) be the first derivative of 67/9*h**4 + 16/9*h**5 + 190 - 32/3*h + 328/9*h**2 - 1160/27*h**3. Let q(y) = 0. Calculate y.
-6, 1/4, 2/5, 2
Let c(l) be the third derivative of 0*l - 17/20*l**4 + 1/100*l**5 + 0 - 239*l**2 + 0*l**3. Suppose c(s) = 0. What is s?
0, 34
Let t = 2023/2966 - 270/1483. Factor -6 - 11/2*b + t*b**2.
(b - 12)*(b + 1)/2
Let f(n) be the third derivative of -n**6/60 - 287*n**5/120 + 371*n**4/48 + 73*n**3/2 + 1586*n**2. Determine x so that f(x) = 0.
-73, -3/4, 2
Let k(n) be the first derivative of 70225*n**4 + 187620*n**3 + 2121*n**2/2 + 2*n - 1930. Determine v so that k(v) = 0.
-2, -1/530
Let r be (5/(-1))/(23/115). Let j = 41 + r. Factor 2*c**3 + j - 3*c**2 + 0*c**2 + c - c**2 - 9*c.
2*(c - 2)**2*(c + 2)
Let l(u) be the first derivative of 117*u**2 + 59319/8*u**4 + 4*u - 59 + 1521*u**3. Solve l(a) = 0.
-2/39
Factor -801/4 - 399/2*h + 3/4*h**2.
3*(h - 267)*(h + 1)/4
Let y be -3 - ((-714800)/61768 + 8). Let n = y + -1/1103. Determine w so that -n*w**4 + 0 - 8/7*w + 4/7*w**2 + 8/7*w**3 = 0.
-1, 0, 1, 2
Let m = 184736/461865 + 2/92373. Let 1/5*q**4 - 1/5*q**3 + 0*q + 0 - m*q**2 = 0. Calculate q.
-1, 0, 2
Let k(p) be the second derivative of -p**7/14 + 67*p**6/50 - 573*p**5/100 - 319*p**4/20 + 322*p**3/5 - 294*p**2/5 + 5164*p. Determine y so that k(y) = 0.
-2, 2/5, 1, 7
Let v(a) be the first derivative of a**3/18 + 69*a**2/2 + 14283*a/2 - 731. Factor v(q).
(q + 207)**2/6
Let m be -3 + (-76)/(-24) + 694/12. Suppose 0 = -2*r + 3*z + 34, -z + m = 2*r + 2*z. Determine b so that 4*b**2 - 15*b - 33*b + 117 + 50 - r = 0.
6
Let q(w) be the first derivative of w**4/18 + 44*w**3/27 - 287*w**2/3 - 196*w - 7707. Find s such that q(s) = 0.
-42, -1, 21
Find t, given that -424/9*t + 0 + 208/9*t**2 + 2/9*t**3 = 0.
-106, 0, 2
Let x(b) = -4*b**2 + b - 1. Let s(t) = 26*t**2 - 54*t + 52. Let h = 146 - 145. Let u(g) = h*s(g) + 6*x(g). Factor u(o).
2*(o - 23)*(o - 1)
Let u = 360169/315 - 14321/35. Let r = u - 734. What is j in 16/9*j**3 + 0 - 14/3*j**2 + 4*j - r*j**4 = 0?
0, 2, 3
Let d(h) be the third derivative of -h**5/15 - 148*h**4/3 + 1203*h**2. Find y, given that d(y) = 0.
-296, 0
Let i(h) be the second derivative of -h**4/90 + 544*h**3/15 - 221952*h**2/5 + 441*h. Determine b so that i(b) = 0.
816
Factor 156*z**3 - 1836 - 40656*z - 2*z**4 - 41269*z + 5*z**4 + 129*z**2 + 80665*z.
3*(z - 3)*(z + 2)**2*(z + 51)
Suppose 4*y + 54*y - 13*y = -69*y. Let h(u) be the third derivative of 0 + y*u - 1/24*u**6 + 2/15*u**5 + 1/210*u**7 + 0*u**3 + 18*u**2 - 1/6*u**4. Factor h(s).
s*(s - 2)**2*(s - 1)
Let a(q) = 4*q**3 - 195*q**2 - 21*q - 1359. Let n be a(49). Let l(z) be the first derivative of -5*z**2 + 0*z - n + 5/3*z**3. Let l(c) = 0. Calculate c.
0, 2
Suppose -1 = 3*b + 4*z + 9, -b - 6 = 2*z. Suppose 70*s = 67*s + 9. Factor 24*i**s - 12 - 28*i + 2*i**5 + 0*i**5 + 20*i**4 - 8*i**2 + b*i**5.
4*(i - 1)*(i + 1)**3*(i + 3)
Let p(a) be the first derivative of -a**4/14 + 4*a**3/21 + 25*a**2/7 - 100*a/7 - 3568. Factor p(z).
-2*(z - 5)*(z - 2)*(z + 5)/7
Suppose -6*c - 2336 = -2348. Let l be (18/10)/(5*(-12)/(-75)). Factor 1/4*w**c + 3/2*w + l.
(w + 3)**2/4
Let c(j) = -j**3 + 72*j**2 + 122*j. Let o = 125 - 112. Let b(y) = 12*y**2 + 20*y. Let w(f) = o*b(f) - 2*c(f). Solve w(a) = 0 for a.
-4, -2, 0
Suppose -5*t + 5 = -5*j, 416*t + 5 = 415*t - 5*j. Let b(h) be the third derivative of -2/3*h**3 - 17*h**2 + 0*h - 1/6*h**5 + t - 7/12*h**4. Factor b(p).
-2*(p + 1)*(5*p + 2)
Let n be 14*(5 - (-165)/(-35)). Let 2813*b**2 - 2 - 2811*b**2 + 2 - b**n + b**3 = 0. What is b?
-1, 0, 2
Let q(n) be the third derivative of -n**5/20 + 53*n**4/4 + 107*n**3/2 - 774*n**2 + 1. Solve q(m) = 0 for m.
-1, 107
Let r(o) be the second derivative of 9*o**5/130 - 1156*o**4/13 - 9260*o**3/39 - 3088*o**2/13 + 3138*o. Let r(i) = 0. Calculate i.
-2/3, 772
Let -16110*u**2 - 4061*u - 196*u**3 - 10612*u + 101*u**3 - 117045 - 445*u**3 - 5*u**4 - 67947*u = 0. Calculate u.
-51, -3
Let f = 3309 + -3309. What is j in 5/2*j**2 - 3/2*j - 1/2*j**4 + f - 1/2*j**3 = 0?
-3, 0, 1
Let b(t) be the first derivative of -2/3*t**2 + t + 1/9*t**3 - 106. Factor b(w).
(w - 3)*(w - 1)/3
Let p(r) be the first derivative of r**6/2 - 3*r**5/5 - 15*r**4/2 - 8*r**3 - 2017. Suppose p(a) = 0. What is a?
-2, -1, 0, 4
Let w be (3/(-6))/(99/(-12) - -8). Let f be -8 + -2 + (w - -8). Suppose f - 2/11*z**2 - 4/11*z = 0. What is z?
-2, 0
Let p(c) be the first derivative of -c**4/8 - 10*c**3/3 + 21*c**2/4 + 1263. Factor p(s).
-s*(s - 1)*(s + 21)/2
Let f = 28 + -24. Factor 6*k**3 + 18*k**3 - 292*k**4 + 286*k**f - 3*k**5.
-3*k**3*(k - 2)*(k + 4)
Find z such that 0 + 0*z - 12/7*z**3 + 2/21*z**5 - 64/21*z**2 + 10/7*z**4 = 0.
-16, -1, 0, 2
Let q(i) = 25*i - 102. Let w be q(7). Solve 4*u + 66*u**2 + w*u**2 - 135*u**2 = 0 for u.
-1, 0
Suppose -5*v + 5 + 5 = 0, 0 = -7*i + 3*v - 6. Factor -2/5*n**3 + 0 + i*n + 2/5*n**2.
-2*n**2*(n - 1)/5
Let f(l) = 372*l**2 + 1029*l - 111. Let g(u) be the second derivative of 53*u**4/12 + 49*u**3/2 - 8*u**2 - 23*u. Let v(j) = 2*f(j) - 15*g(j). Factor v(k).
-3*(k + 3)*(17*k - 2)
Suppose -30*k - 40 + 370 = 0. Let y be ((-1896)/(-180) - k)/(2/(-96)). Factor 2/5*l**5 + 32/5 + 18/5*l**4 + 64/5*l**3 + y*l**2 + 96/5*l.
2*(l + 1)*(l + 2)**4/5
Determine h so that 1202 - 2*h**3 - 1638*h + 7485*h**2 - 7623*h**2 - 1178 + 27354 = 0.
-39, 9
Suppose 1317*p - 36 + 3*p**2 + 16*p**2 - 228 - 2*p**2 - 2*p**2 = 0. Calculate p.
-88, 1/5
Let a(x) be the first derivative of -x**3/6 + 21*x**2 + 85*x/2 + 777. Determine l, given that a(l) = 0.
-1, 85
Let l(y) = y**3 + 12*y**2 + 16*y + 32. Let p be l(-10). Find w, given that 67 - 3*w**3 - 15 - p*w + 27*w**2 + 8 = 0.
2, 5
Let g(y) = 2*y**2 + 34*y - 24. Let j(a) = -6*a**2 - 105*a + 75. Let h(s) = 25*g(s) + 8*j(s). Factor h(i).
2*i*(i + 5)
Let k(l) = -7*l**4 - 85*l**3 - 80*l**2 + 88*l + 66. Let d(p) = -9*p**4 - 86*p**3 - 80*p**2 + 90*p + 61. Let j(w) = 3*d(w) - 4*k(w). What is v in j(v) = 0?
-81, -1, 1
Let r = 1264 + 1421. Factor -p**2 - 24 + 0*p**2 + 2660*p - r*p.
-(p + 1)*(p + 24)
Factor 184/3*r - 16*r**2 - 544/9 + 2/9*r**3.
2*(r - 68)*(r - 2)**2/9
Let n = 1/26 - -11/52. Let j = 603525 + -603522. Factor -15/4*m**2 + 7/4*m - m**4 - n + 13/4*m**j.
-(m - 1)**3*(4*m - 1)/4
Let m(i) be the second derivative of i**4/24 + 5*i**3/12 - 26*i**2 - 5*i - 65. Factor m(z).
(z - 8)*(z + 13)/2
Let i be (8/32)/(1/12). Determine v, given that 230*v - 22*v**3 + 140 - 10*v - 335*v**2 - i*v**3 = 0.
-14, -2/5, 1
Suppose -51*s = 4*v - 45*s - 42, 4*s = 5*v + 5. Let a = 2/861 - -5902/861. Factor 3*f + 36/7*f**v - a*f**2 - 3/7.
3*(2*f - 1)**2*(3*f - 1)/7
Let c be -11 + (-26)/(-39)*21 - 3. Solve -15/7*v**2 - 9/7*v**5 + c - 6/7*v + 15/7*v**4 + 15/7*v**3 = 0.
-1, -1/3, 0, 1, 2
Suppose -c - 133 = 4*t + 42, 3 = 3*c. Let g = 46 + t. Find n such that -24*n - 5*n**2 - 3*n**2 + 4*n**g + 8*n - 12 = 0.
-3, -1
Let o = 118 + -86. Suppose 28 = 3*p - o. Factor 