4*(b - 3)**2*(b + 1)/3
Let l(q) = 2*q**3 - q**2 - 14*q + 3. Let f be l(0). Let i(k) be the first derivative of -8/3*k**f - 14 + 4*k + 4/5*k**5 + 0*k**2 + 0*k**4. Factor i(g).
4*(g - 1)**2*(g + 1)**2
Let t(d) = -6*d + 8. Let f be t(-8). Let z be 1*((-24)/84 - (-142)/f). Let -z*u**2 - 5*u - 1 = 0. What is u?
-2, -2/9
What is c in -676/9 + 334/9*c**3 - 2/9*c**4 - 334/9*c + 226/3*c**2 = 0?
-2, -1, 1, 169
Let z = -1047 + 1055. Suppose 3*f + 4*x - z = 0, -4*f + 2*x + 4 = 8. Factor -40/3*y + f - 5/3*y**2.
-5*y*(y + 8)/3
Let l be 15/9*(4 - 1). Let p(v) be the first derivative of -4/3*v + l - 4/9*v**3 + 4/3*v**2. Factor p(q).
-4*(q - 1)**2/3
Let f(n) = 47606*n + 26 + 2*n**2 - 47596*n + 0 - n**2. Let m be f(-6). Suppose -27/4*k - 3/4*k**m - 6 = 0. Calculate k.
-8, -1
Let z(a) = a**2 - a + 5. Let g(c) = -6*c**2 - 171*c - 951. Let k(h) = g(h) + 3*z(h). Factor k(n).
-3*(n + 6)*(n + 52)
Find a, given that 257/5*a**3 - 342/5*a**2 - 404/5*a - a**4 + 40 = 0.
-1, 2/5, 2, 50
Let b(f) = 30*f**2 - 360*f + 2. Let r be b(12). Factor 2/9*i**3 + 20/9 - 2/9*i - 20/9*i**r.
2*(i - 10)*(i - 1)*(i + 1)/9
Let z(a) be the third derivative of -a**5/15 + 34*a**4 + 824*a**3/3 + 273*a**2 + a. Let z(p) = 0. What is p?
-2, 206
Let z be (-13806)/(-162) + 4/(-18). What is g in z*g**5 - 22*g**3 - 17*g - g**4 + 4 + 8*g**4 - g**4 - 86*g**5 + 2*g**4 + 28*g**2 = 0?
1, 4
Let g(m) = -25*m - 73. Let x be g(-3). Suppose 82 + 19*k + x*k**2 - 38 + 7*k = 0. Calculate k.
-11, -2
Let k(w) = -4*w**2 - 432*w - 425. Let b be k(-107). Let j(a) be the third derivative of -2/3*a**b + 14*a**2 + 1/10*a**5 + 5/12*a**4 + 0*a + 0. Factor j(r).
2*(r + 2)*(3*r - 1)
Let b(j) be the first derivative of -20 + 6*j**4 + 8*j**2 - 3*j**4 + 26 - 4*j**4. Factor b(n).
-4*n*(n - 2)*(n + 2)
Let j(y) be the first derivative of -3*y**5/10 - 3*y**4/4 + 2*y**3 + 3*y**2/2 - 9*y/2 + 1079. Solve j(n) = 0 for n.
-3, -1, 1
Let w = 268 - 256. Determine v, given that 15*v**2 - 35*v**3 + 35*v + w + 5004*v**4 - 5029*v**4 - 2 = 0.
-1, -2/5, 1
Let c(s) be the third derivative of s**5/20 - 573*s**4/2 + 656658*s**3 + 29*s**2 + 9*s. Solve c(w) = 0.
1146
Find w, given that 160/3*w**2 + 2/3*w**4 + 0 - 16*w**3 + 0*w = 0.
0, 4, 20
Suppose -5*h - 5*b + 10*b = -595, -4*h - b = -466. Let p be (-16)/2 - (-127 + h). Let -14/11*x**p + 10/11*x + 4/11 = 0. What is x?
-2/7, 1
Let b = -36098/237 - -12138/79. Let y = 17 + -101/6. Let 0*i + 0 + 2/3*i**2 + b*i**3 + y*i**5 + 5/6*i**4 = 0. Calculate i.
-2, -1, 0
Suppose -3*c + 17 - 7 = -4*z, 5*c = 2*z + 12. Let v be 3 - z - (0 + 2). Factor p - p**3 - 42*p**v + 42*p**2.
-p*(p - 1)*(p + 1)
Let h = -64 - -90. Let o be (4/(-6))/(26/(-39)) + h. Factor 37*p + 12*p**3 - 729 + 127*p + 79*p - o*p**2 - 11*p**3.
(p - 9)**3
Let s be 3723/73 + (-55 - -7). Suppose -1/5*h**4 - 61/5*h**2 + 84/5*h - 36/5 + 14/5*h**s = 0. Calculate h.
1, 6
Let 258 - 28*h**2 - 154*h**3 + 274*h - 2*h**5 + 174*h + 32*h**3 + 32*h**4 + 62 = 0. Calculate h.
-1, 4, 10
Let t = 315 + -322. Let w(a) = -7*a**2 - 47*a + 17. Let b be w(t). Factor 0*p - 4/9*p**b - 2/9*p**4 + 0*p**2 + 0.
-2*p**3*(p + 2)/9
Find m, given that 354 - 35 + 119*m + 0*m - 243*m + 417 + 4*m**2 = 0.
8, 23
Let r(q) = -61*q - 2865. Let y be r(-47). Let g(f) be the third derivative of 0 - 1/240*f**6 + 1/6*f**3 + 14*f**y + 1/16*f**4 + 0*f**5 + 0*f. Factor g(w).
-(w - 2)*(w + 1)**2/2
Let s(r) = -15*r**3 + 345*r**2 - 330*r + 119. Let d(f) = -5*f**3 + 115*f**2 - 110*f + 34. Let q(w) = 7*d(w) - 2*s(w). Factor q(z).
-5*z*(z - 22)*(z - 1)
Determine q, given that 344*q - 220 - 120 - 51312*q**2 + 51308*q**2 = 0.
1, 85
Let y(i) = -9*i**4 + 22*i**3 - 60*i**2 + 66*i - 3. Let b(p) = -p**4 + p**3 - p**2 + 3. Let j(g) = -24*b(g) + 3*y(g). Let j(t) = 0. What is t?
1, 3, 9
Let 4*z + 4*z**2 + 44*z + 88273*z**3 - 4*z**4 - z**5 - 88323*z**3 + 3*z**5 = 0. What is z?
-4, -1, 0, 1, 6
Let v(p) be the second derivative of -p**4/60 + 2*p**2/5 + 771*p. Solve v(b) = 0 for b.
-2, 2
Suppose 4 + 11 = 5*v. Suppose 12*h = 13*h - 3. Determine y so that -5*y - 7*y**v - y + h + y**3 - 3*y**4 + 12*y**3 = 0.
-1, 1
Let h = -64 + 67. Factor -411 + 3*v**5 - 415 + 826 - h*v**3.
3*v**3*(v - 1)*(v + 1)
Let s = -194 - 476. Let c be 1168/35 + (-804)/s. Factor -44/7*x - 2/7*x**2 - c.
-2*(x + 11)**2/7
Suppose -150 = 718*h - 748*h. Suppose 12*z - 11*z + h*f + 15 = 0, 4*z = 2*f + 6. Determine s so that -5/2*s**2 + z - 1/2*s - 2*s**3 = 0.
-1, -1/4, 0
Suppose -3*j + 3*o + 39 = -30, -o = 4*j - 67. Factor j*v**3 - 15*v**5 - 71*v**2 + 12*v**5 + 9*v + 95*v**2.
-3*v*(v - 3)*(v + 1)**3
Let v(j) be the third derivative of -j**8/2352 - j**7/294 + 3*j**6/70 - 4*j**5/105 - 16*j**4/21 + 24*j**3/7 + 204*j**2 + 9. Find o such that v(o) = 0.
-9, -2, 2
Let x = -195969/2 - -97985. Factor x*l**2 + 5/4*l + 0.
l*(2*l + 5)/4
Let l(n) = 247*n**3 - 104*n**2 - 5*n + 4. Let u(j) = 249*j**3 - 102*j**2 - 3*j + 3. Let f(y) = 3*l(y) - 2*u(y). What is c in f(c) = 0?
-2/9, 1/3
Let h(g) = 34*g**4 + 258*g**3 - 10*g**2 + 5*g - 5. Let u(p) = -21*p**4 - 129*p**3 + 6*p**2 - 3*p + 3. Let n(m) = 3*h(m) + 5*u(m). Factor n(s).
-3*s**3*(s - 43)
Solve 17832*q + 43184*q**2 - 21580*q**2 - 21600*q**2 + 19873764 = 0 for q.
-2229
Find y such that -35*y**4 - 30*y**3 + 698*y - 70*y**3 - 22*y + 31*y**4 - 572*y**2 = 0.
-13, 0, 1
Let p = 7162/167 - 78448/1837. Let d(u) = -u - 2. Let v be d(-4). Factor 0 + 14/11*a - p*a**v.
-2*a*(a - 7)/11
Let 9093*d + 53214*d**3 - 72573*d + 5*d**4 + 4852*d**2 + 8488*d**2 - 53704*d**3 = 0. Calculate d.
0, 6, 46
Factor -44*t - 5*t**2 + 1/2*t**3 - 64.
(t - 16)*(t + 2)*(t + 4)/2
Suppose -5*f + 3*q + 923 = -0*f, -f = -q - 183. Let v be 396/f + 2/(-17). Factor -18*t**2 + 34*t**v - 19*t**2 - 27*t.
-3*t*(t + 9)
Let l be (-2)/(-5) + 97/(-1455). Let q(t) be the first derivative of 0*t - 3/2*t**4 - 15 + 5/3*t**3 - l*t**2. Determine j, given that q(j) = 0.
0, 1/6, 2/3
Let w be (-7)/(1260/(-66)) + (-28)/280. Let p(l) be the first derivative of -2/3*l**2 + 0*l + 2/9*l**3 + w*l**5 + 5/6*l**4 - 25. Solve p(z) = 0 for z.
-2, -1, 0, 1/2
Factor 13*o**2 + 6*o**3 + 20/3*o + 0 - 1/3*o**4.
-o*(o - 20)*(o + 1)**2/3
Let l(b) = -28*b**3 - 8*b**2 - 15*b + 25. Let n be l(-4). Let c = n - 1749. Let 3/2*g**4 + 0*g**3 - 6*g**2 + c + 0*g = 0. Calculate g.
-2, 0, 2
Let f(s) = -7*s**3 - 170*s**2 + 30*s - 5. Let j(a) = 4*a**3 + 84*a**2 - 18*a + 3. Let k(d) = -3*f(d) - 5*j(d). What is v in k(v) = 0?
-90, 0
Let i(w) = 12*w**3 - 1308*w**2 + 34972*w + 36300. Let m(g) = -8*g**3 + 872*g**2 - 23315*g - 24200. Let n be 3/6*-8 - 1. Let h(p) = n*i(p) - 8*m(p). Factor h(x).
4*(x - 55)**2*(x + 1)
Let o be 6*66/9 - 8. Suppose 0 = -v + 5*d - 6, -41*v + d = -o*v - 18. Factor 2/5*q**3 + 0 + 0*q + 2/5*q**v + 2/15*q**5 + 2/15*q**2.
2*q**2*(q + 1)**3/15
What is f in -1/6*f**4 + 49/3 - 13/6*f**3 + 77/6*f - 11/2*f**2 = 0?
-7, -1, 2
Suppose -4*c - 4*d = 4, 294*d - 293*d + 7 = c. Suppose 8/3*k**4 - 4*k**2 + 0 - 2/3*k**5 + 0*k - 2/3*k**c = 0. Calculate k.
-1, 0, 2, 3
Let w = 218 - 239. Let b be 3/((-96)/20)*w/35. Factor -b*m**2 - 3 - 9/4*m.
-3*(m + 2)*(m + 4)/8
Let f = -133928 - -133931. Factor -18/7*j**2 - 8/7*j - 2/7*j**4 + 0 - 12/7*j**f.
-2*j*(j + 1)**2*(j + 4)/7
Let n be -12 - (-70 + 49 - (-5 + 1)). Let a(b) be the first derivative of 1/6*b**6 - 3/5*b**n + 0*b**2 + 0*b + 0*b**3 + 1/2*b**4 + 20. Factor a(d).
d**3*(d - 2)*(d - 1)
Factor m**4 - 4*m**3 + 39*m**2 - 211114*m + 211086*m - 8*m**3.
m*(m - 7)*(m - 4)*(m - 1)
Let w = -646 + 674. Let n be 964/260 - w/20. Factor 18/13*i**5 + 2/13*i**2 + n*i**4 + 0 + 0*i + 14/13*i**3.
2*i**2*(i + 1)*(3*i + 1)**2/13
Let k(o) be the first derivative of 6/11*o**3 + 1/22*o**4 + 0*o + 0*o**2 + 222. Factor k(g).
2*g**2*(g + 9)/11
Suppose 68 = -7*k - 408. Let r = k + 70. Solve -12 + 114*c**2 + 84*c - 5 + 51*c**r - 45*c**3 - 19 + 21*c**5 - 69*c**4 = 0.
-1, 2/7, 2, 3
Let l(f) be the first derivative of -5*f**3/3 + 145*f**2 - 2760*f + 4419. Let l(n) = 0. Calculate n.
12, 46
Let i = 5808 + -5804. Let g(l) be the first derivative of 0*l**3 + 3*l**i + 0*l**2 + 13 + 0*l - 3/5*l**5. Factor g(w).
-3*w**3*(w - 4)
Let a = -144/4609 - -1977837/18436. Solve -3/4*g**4 + 0 - 507/4*g + 75/4*g**3 - a*g**2 = 0 for g.
-1, 0, 13
Let i(t) be the second derivative of t**5/20 - 23*t**4/4 - 48*t**3 - 146*t**2 - 170*t. Factor i(o).
(o - 73)*(o + 2)**2
Let s be 15*273/(-585)*25/(-10). Factor 20*r**