797 + x.
(o - 3)*(o + 3)
Suppose 129 = 6*u - 15. Let v be 0*(u/9 + (-3)/1). Factor 16 + v*z - 18 - z**2 - 4*z - z**2.
-2*(z + 1)**2
Solve 104*p - p**3 - 2*p**3 + 33179*p**2 - 33347*p**2 + 67*p = 0 for p.
-57, 0, 1
Let p = -94 + 97. Let v be 0/(3/6*-8). Factor p*x - 5*x**2 - 10 - 18*x + v*x.
-5*(x + 1)*(x + 2)
Let g(q) be the first derivative of -5*q**4/38 + 18*q**3/19 + 53*q**2/19 + 42*q/19 + 2350. Determine b so that g(b) = 0.
-1, -3/5, 7
Let y(c) be the second derivative of 4*c**2 - 12*c + 2*c**3 - 1/5*c**5 + 0 + 0*c**4. Determine d, given that y(d) = 0.
-1, 2
Let w be 408/(-272)*(20/(-6) + 2). Let z = 59/21 + -15/7. Suppose -2/3*y**w + 0*y + z = 0. What is y?
-1, 1
Factor 1/3*z**4 - 1522/3*z**3 + 0*z + 0*z**2 + 0.
z**3*(z - 1522)/3
Let v be (16 - (-10)/((-40)/68))*(-2)/5. Factor v*m - 2/5*m**4 + 0 + m**2 + 1/5*m**3.
-m*(m - 2)*(m + 1)*(2*m + 1)/5
Let p be -6 - (2 - (-12)/(-3)). Let h be (p - -18)*2/(-21)*-3. What is y in -3*y**5 + y**3 + 0*y**5 + 2*y**4 + h*y**4 - 6*y**2 + 2*y**3 = 0?
-1, 0, 1, 2
Solve 0 - 15*q - 3/4*q**4 + 3*q**2 + 15/4*q**3 = 0 for q.
-2, 0, 2, 5
Let a be ((1 - 2) + 0)/(368/(-32)*38/874). Determine g so that 507/8*g + 39/4*g**a + 0 + 3/8*g**3 = 0.
-13, 0
Let m(z) be the third derivative of -z**7/30 - 149*z**6/180 - 11*z**5/36 + 7*z**4/36 + 119*z**2. Let m(s) = 0. What is s?
-14, -1/3, 0, 1/7
Let j(u) be the second derivative of 7*u**4/48 - 809*u**3/24 - 87*u**2/2 + 8078*u - 2. Suppose j(n) = 0. What is n?
-3/7, 116
Solve 88/3*k**2 - 160/3 - 23/3*k**3 - 4*k**4 + 36*k - 1/3*k**5 = 0.
-8, -5, -2, 1, 2
Suppose 54*c - 57*c = -5*n - 50, -4*c + 4*n = -40. Factor c + 1/4*r**3 + 0*r - 1/8*r**2 - 1/8*r**4.
-r**2*(r - 1)**2/8
Let r(f) be the first derivative of 68 - 3/5*f**4 + 0*f - 11/5*f**3 - 9/5*f**2 + 3/25*f**5. Factor r(g).
3*g*(g - 6)*(g + 1)**2/5
Let h(s) = 36*s**3 + 80*s**2 - 811*s - 1489. Let v(r) = 7*r**3 + 15*r**2 - 162*r - 298. Let a(b) = 2*h(b) - 11*v(b). Factor a(f).
-5*(f - 6)*(f + 2)*(f + 5)
Let r(y) = -y**3 - 2*y**2 + 31*y + 63. Let n be r(-2). Let q be (((-540)/(-20))/(n/6))/5. Factor -q + 34/5*a**2 + 2/5*a**3 + 126/5*a.
2*(a - 1)*(a + 9)**2/5
Let b(q) = -q**2 - 38*q + 9. Let i be b(-9). Let v = 273 - i. Factor 1/3*c + 1/3*c**2 - 1/3*c**v - 1/3.
-(c - 1)**2*(c + 1)/3
Let c(g) = -3*g**2 + 60*g + 288. Let d(t) = 5*t. Let v(x) = -c(x) + 18*d(x). Find h, given that v(h) = 0.
-16, 6
Factor 113*x**3 - 72*x - 6*x**2 + 3*x**2 - 4*x**2 + x**2 - 110*x**3.
3*x*(x - 6)*(x + 4)
Let z(s) = 9*s**3 - 18*s**2 + 99*s + 210. Let l(o) = -11*o**3 + 19*o**2 - 100*o - 210. Let j(m) = -6*l(m) - 7*z(m). Let j(g) = 0. Calculate g.
-7, -2, 5
Let g(i) be the third derivative of i**7/21 - 847*i**6/240 - 3317*i**5/120 - 235*i**4/6 - 23*i**3 - 8*i**2 - 6*i - 1. Determine m, given that g(m) = 0.
-3, -2/5, -1/4, 46
Suppose 157*a + 310 = 563*a + 310. Factor 38/7*y + a - 3/7*y**3 - 55/7*y**2.
-y*(y + 19)*(3*y - 2)/7
Suppose 33*c + 114184 = 40*c. Factor -l + 23*l**2 + 16305*l**3 - c*l**3 - 8 + 23*l.
-(l - 4)*(l + 1)*(7*l - 2)
Let k(m) be the first derivative of 2*m**6/3 + 56*m**5/5 + 51*m**4 + 72*m**3 + 3394. Factor k(c).
4*c**2*(c + 2)*(c + 3)*(c + 9)
Factor -1/7*u**5 + 2/7*u**2 + 0 + 0*u**3 + 1/7*u - 2/7*u**4.
-u*(u - 1)*(u + 1)**3/7
Suppose 0 = -2*x - 0*x + 5*i + 69, 3*x - 92 = -4*i. Suppose x*r + 56 = 152. Factor -4/7*f**4 - 2/7*f**5 + 2/7*f + 0*f**r + 0 + 4/7*f**2.
-2*f*(f - 1)*(f + 1)**3/7
Let g = 55 - 16. What is h in 28*h + 24 + 24 + g*h - 22*h - 3*h**2 = 0?
-1, 16
Solve 3*b**3 - 261*b**2 - 4589*b + 6014*b + 6108*b - 72075 = 0.
25, 31
Let v = -19758854/7 - -2822694. Let s be 4/10*20/14. Factor -v + s*p**2 + 0*p.
4*(p - 1)*(p + 1)/7
Let k(y) = -10*y**3 - 3136*y**2 - 3150*y - 8. Let r(x) = -14*x**3 - 4181*x**2 - 4200*x - 11. Let f(t) = 11*k(t) - 8*r(t). Factor f(v).
2*v*(v - 525)*(v + 1)
Let z(c) be the third derivative of 1/16*c**4 - 1/120*c**5 + 0 - 215*c**2 + 0*c - 1/6*c**3. Find w such that z(w) = 0.
1, 2
Let u(c) be the second derivative of 25/6*c**3 - 5/6*c**4 - 160*c - 5/42*c**7 - c**5 + 2 + 2/3*c**6 - 5*c**2. Factor u(f).
-5*(f - 2)*(f - 1)**3*(f + 1)
Suppose 90 = 3*c + 87. Let y(x) = 51*x**3 - 2*x + 1. Let b be y(c). Let 69*h**4 + b*h - 15*h**4 - 10*h**2 - 162*h**3 + 12 - 8*h**2 = 0. Calculate h.
-1/3, 2/3, 3
Let k be -7 + -36*((-11)/(-2) + -5). Let h(s) = -s**3 + 31*s**3 - 3*s - 12*s - 15*s**2 + 25. Let t(p) = -p**3 + p - 1. Let v(d) = k*t(d) - h(d). Factor v(l).
-5*l*(l - 2)*(l - 1)
Let b = -841/4 - -2527/12. Let g(k) be the second derivative of -1/8*k**5 - b*k**4 - 1/60*k**6 + 0 - 4*k + 0*k**2 - 1/3*k**3. Factor g(u).
-u*(u + 1)*(u + 2)**2/2
Factor -1620*a + 38*a**2 - 21*a**2 - 461489 - 18*a**2 - 194611.
-(a + 810)**2
Let h(b) be the third derivative of 0*b - 1/720*b**5 - 52*b**2 + 0*b**4 + 0 + 1/18*b**3. Factor h(y).
-(y - 2)*(y + 2)/12
Let h(c) be the first derivative of c**7/1680 + c**6/24 + 5*c**5/4 + 125*c**4/6 - c**3/3 + 3*c**2/2 + 22. Let j(t) be the third derivative of h(t). Factor j(v).
(v + 10)**3/2
Let w be (9 + (-1452)/168)*(68/40 - 1). Let h(m) be the second derivative of -w*m**4 - 4*m**3 + 22*m + 0 - 24*m**2. Find r such that h(r) = 0.
-4
Let o(v) be the third derivative of -v**9/1512 - v**8/105 - v**7/60 + 38*v**3/3 + 12*v**2. Let k(f) be the first derivative of o(f). Solve k(b) = 0 for b.
-7, -1, 0
Let v = -385 + 589. Let f = v + -196. What is r in 2 - 4*r**3 + 2/3*r**4 - 20/3*r + f*r**2 = 0?
1, 3
Let i(w) be the second derivative of 3*w**8/11200 + w**7/1050 - 7*w**6/300 + 2*w**5/25 + 15*w**4/4 - 8*w. Let f(g) be the third derivative of i(g). Factor f(b).
3*(b - 2)*(b + 4)*(3*b - 2)/5
Determine q so that 8*q**3 + 3*q**3 - 6*q**4 - 14869*q**2 + 2*q**4 + 14865*q**2 - 3*q**3 = 0.
0, 1
Let y(h) = -6*h**3 + 144*h**2 + 1005*h + 831. Let t(i) = -i**3 - 2*i**2 + 4*i - 3. Let r(v) = 3*t(v) - y(v). Suppose r(w) = 0. Calculate w.
-5, -1, 56
Let w(j) be the third derivative of -j**9/54432 + j**8/4320 - j**7/5670 + 13*j**5/60 + j**4/6 + 58*j**2. Let v(a) be the third derivative of w(a). Factor v(n).
-2*n*(n - 4)*(5*n - 1)/9
Let i = -653/5 + 654/5. Let h(d) be the second derivative of -i*d**3 + 9*d - 9/10*d**2 + 0 + 1/20*d**4. Factor h(r).
3*(r - 3)*(r + 1)/5
Factor -3/4*t**2 + 30 + 1/4*t**3 - 59/2*t.
(t - 12)*(t - 1)*(t + 10)/4
Suppose 6*i = -14 + 62. Let q(x) be the third derivative of 0 - 11/210*x**5 + 1/6*x**4 + 0*x + i*x**2 - 4/21*x**3 + 1/168*x**6. Factor q(n).
(n - 2)**2*(5*n - 2)/7
Suppose -23*h + 380 = -632. Factor -1012 - 495*q - 304*q**2 + 290*q**3 - h*q**4 - 1169*q - 12 + 2*q**5.
2*(q - 8)**3*(q + 1)**2
Let o(f) = -f**3 + 8*f**2 - 6*f - 5. Let h be o(7). Suppose 0 = -h*w - 4, 0 = -0*q + q + 2*w. Solve 11*m**3 + 4*m**5 - 12*m**q - 3*m**3 - 7*m + 7*m = 0 for m.
0, 1, 2
Let b(m) be the third derivative of -m**8/546 + 53*m**7/1365 - 13*m**6/60 + 49*m**5/130 - 9*m**4/52 + 725*m**2 + 2*m + 2. Solve b(d) = 0 for d.
0, 1/4, 1, 3, 9
Let o(c) be the first derivative of 2*c**5/5 + c**4 + 2*c**3/3 - 392. Factor o(w).
2*w**2*(w + 1)**2
Let t(c) = c**3 - 4*c**2 - 2. Let k(m) = -30*m**3 - 5195*m**2 - 1869135*m - 219934835. Let o(u) = -k(u) - 25*t(u). Solve o(w) = 0 for w.
-353
Let 2/5*t**4 + 0*t**3 - 18*t**2 - 192/5 + 56*t = 0. Calculate t.
-8, 1, 3, 4
Let p(s) = -4*s**3 + s**2 - s - 3. Let z(t) = 8*t**3 + 251*t**2 + 5101*t + 32503. Let h(l) = p(l) + z(l). Factor h(q).
4*(q + 13)*(q + 25)**2
Let f(n) = n**4 - 2*n**3 - 11*n**2 - 8*n - 4. Let r(g) = 1. Let p(l) = l**2 + l + 4. Let u(m) = -2*p(m) + 7*r(m). Let v(j) = 5*f(j) - 20*u(j). Factor v(a).
5*a**2*(a - 3)*(a + 1)
Suppose j + 4 = -0*j, 32 = q - 5*j. Let y(n) be the first derivative of -q + 1/5*n**3 - 3/20*n**4 + 0*n + 1/25*n**5 - 1/10*n**2. Factor y(o).
o*(o - 1)**3/5
Suppose 1288*g + 390 = 1301*g. Let 50625/2 + 6750*y + 1/2*y**4 + 675*y**2 + g*y**3 = 0. What is y?
-15
Let w = 66559 + -66556. Determine v, given that -1/12*v**w - 1/12*v**4 + 0 + 1/12*v**2 + 1/12*v**5 + 0*v = 0.
-1, 0, 1
Find g, given that -2/5*g**4 + 4/5*g**3 + 64/5 + 24/5*g**2 - 16*g = 0.
-4, 2
Let p(b) be the first derivative of -3/2*b**2 - 1/3*b**3 - 48 + 0*b. Find h such that p(h) = 0.
-3, 0
Let w(v) = 15*v**2 - 81*v. Let y(p) = -41*p**2 + 243*p. Suppose 145 - 1 = 18*t. Let c(q) = t*w(q) + 3*y(q). Factor c(x).
-3*x*(x - 27)
Let v = -22 + 35. Suppose -v = t - 5*g, -5 = -t - 0*g - g. What is b in 4*b**t + 8 