q + 3)/5
Let q be 0 + (7 - ((-236)/(-10) - 17)). Factor q + 4/5*t**2 - 1/5*t**3 - t.
-(t - 2)*(t - 1)**2/5
Let i(p) = -11*p**2 - 58*p + 6. Let j(l) be the second derivative of -7*l**4/4 - 59*l**3/3 + 11*l**2/2 + 31*l + 1. Let w(c) = -11*i(c) + 6*j(c). Factor w(u).
-5*u*(u + 14)
Suppose -6*t + 10*t - 1888 = 0. Let p = -470 + t. Factor -12/5*h**p - 6/5 + 3/5*h**3 + 3*h.
3*(h - 2)*(h - 1)**2/5
Suppose 360*k**2 - 355*k**2 - 76 + 4*k**3 + 76 - 21*k = 0. Calculate k.
-3, 0, 7/4
Let z(u) be the second derivative of 3*u**5 - 10/3*u**6 + 25/3*u**4 - 6/7*u**7 + 0 - 4*u**3 + 68*u + 0*u**2. Find r, given that z(r) = 0.
-3, -1, 0, 2/9, 1
Let x = -4/559 - 15476/559. Let p = -1523/78 - x. Factor 2*r**2 + p*r**5 + 44/3*r**3 + 175/6*r**4 + 0 + 0*r.
r**2*(r + 3)*(7*r + 2)**2/6
Let b(g) be the first derivative of -g**4/12 - 8*g**3/3 - 24*g**2 - 256*g/3 - 271. What is z in b(z) = 0?
-16, -4
Let u(j) be the first derivative of -j**5/210 + 3*j**4/28 + 10*j**3/21 - 61*j**2/2 + 13. Let f(a) be the second derivative of u(a). Factor f(q).
-2*(q - 10)*(q + 1)/7
Let i be 25 - ((-360)/660 - 127*2/(-3 - 19)). Factor i*s - 1/2*s**4 + 11/2*s**3 + 0 + 20*s**2.
-s*(s - 14)*(s + 1)*(s + 2)/2
Let d be 1121/(-2280) - 15/(-24). Factor -294/5 - 28/5*r - d*r**2.
-2*(r + 21)**2/15
Let i(n) be the second derivative of -n**6/6 - n**5 - 5*n**4/12 + 5*n**3 + 4077*n. Factor i(t).
-5*t*(t - 1)*(t + 2)*(t + 3)
Let a = -117 + 4213/36. Let i = a + 425/252. Factor 24/7 - 3/7*y**3 + i*y - 6/7*y**2.
-3*(y - 2)*(y + 2)**2/7
Let u(z) = z**3 + 6*z**2 - 3*z - 2. Let v be 201/268 - (3/4 - 1). Let s be u(v). Factor 0 - 4/5*p - 2/5*p**s.
-2*p*(p + 2)/5
Solve 4563/7*d + 3/7*d**3 + 0 - 234/7*d**2 = 0.
0, 39
Let -135*t**3 + 186 + 80*t**5 + t**2 - 83*t**5 - 186 + 180*t + 11*t**2 - 54*t**4 = 0. Calculate t.
-15, -2, 0, 1
Let a be (-1197)/36*(-6232)/2009. Factor 76/7*c + a + 2/7*c**2.
2*(c + 19)**2/7
Let t = 5 - -3. Let y be ((-12)/t)/((-5)/120). Factor -13*w**2 - y*w - 11*w**2 - w**2 - 29*w + 30.
-5*(w + 3)*(5*w - 2)
Let t(m) be the second derivative of m**4/15 + 184*m**3/15 - 2496*m**2/5 + 3336*m. Let t(q) = 0. Calculate q.
-104, 12
Let z(o) be the second derivative of 1/42*o**7 + 28*o**2 - 6 + 10/3*o**3 - 23/6*o**4 + 7*o - 29/20*o**5 - 1/15*o**6. Factor z(t).
(t - 7)*(t - 1)*(t + 2)**3
Let c be 54/6 + (-82)/6 + 5. Let s(i) be the second derivative of -22*i + 1/10*i**5 + 0*i**2 + 5/12*i**4 + c*i**3 + 0. Suppose s(t) = 0. What is t?
-2, -1/2, 0
Determine s, given that -177830*s + 88913*s + s**4 + 88802*s - 55*s**2 - 5*s**3 - 66 = 0.
-3, -2, -1, 11
Let h(x) be the second derivative of x**4/6 - 337*x**3/3 - 804*x. Determine s so that h(s) = 0.
0, 337
Factor -81/5 + 99/5*s - 3/5*s**3 - 3*s**2.
-3*(s - 3)*(s - 1)*(s + 9)/5
Let k(r) be the first derivative of 7/2*r**6 - 63 + 0*r**4 + 0*r**2 + 0*r - 12/5*r**5 + 0*r**3. Solve k(o) = 0 for o.
0, 4/7
Let d = 451645 + -5871383/13. Solve 10/13*c + d*c**2 + 8/13 = 0 for c.
-4, -1
Let h(z) be the third derivative of 18*z**8 + 7606*z**7/105 - 2099*z**6/30 + 296*z**5/15 - 2*z**4 - 9*z**2 - 29*z + 1. What is c in h(c) = 0?
-3, 0, 2/27, 1/8, 2/7
Let i = 300 - 335. Let r be (7 - (-224)/i)*5. Factor -3/2 - 1/2*j**4 - 5*j - 3*j**r - 6*j**2.
-(j + 1)**3*(j + 3)/2
Let c be -43*(4 - 5) - 0. Let 9*d**4 + c*d**3 + 24 - 21*d**3 - 6*d - 51*d**2 + 2*d**3 = 0. Calculate d.
-4, -2/3, 1
Let g(a) be the third derivative of -1/60*a**5 + 0 - 2/3*a**4 - 32/3*a**3 + 0*a - 13*a**2. Solve g(z) = 0 for z.
-8
Factor 384/5*a + 248/5*a**2 + 2/5*a**4 + 46/5*a**3 + 0.
2*a*(a + 3)*(a + 4)*(a + 16)/5
Let a(t) be the first derivative of -5*t**4/4 - 320*t**3/3 + 1400*t**2 - 5760*t - 2244. Factor a(f).
-5*(f - 4)**2*(f + 72)
Solve -3/4*w**3 + 300*w - 33*w**2 - 624 = 0 for w.
-52, 4
Let f = -44 - -49. Suppose -t = -f + 3. Determine z, given that 3*z**t + 22*z + 39 - 4*z - 60 = 0.
-7, 1
Let a = -345647 - -345649. Factor -2048 - 625/2*x**4 - 2000*x**3 - 5120*x - 4800*x**a.
-(5*x + 8)**4/2
Let m(y) be the first derivative of -441/8*y**2 - 3/16*y**4 - 1029/4*y - 21/4*y**3 + 64. What is z in m(z) = 0?
-7
Let m(y) be the first derivative of -2*y**6/15 + 27*y**5/20 - 25*y**4/12 - 12*y**3 - 8*y**2 + 118*y + 84. Let j(w) be the first derivative of m(w). Factor j(b).
-(b - 4)**2*(b + 1)*(4*b + 1)
Let v(q) = -327*q - 76189. Let w be v(-233). Factor -w - 5/2*u - 1/2*u**2.
-(u + 1)*(u + 4)/2
Let c(j) be the second derivative of -j**7/42 - 7*j**6/3 - 827*j**5/10 - 3404*j**4/3 - 8993*j**3/6 + 12167*j**2 - 18*j + 4. Find i, given that c(i) = 0.
-23, -2, 1
Let p(z) be the second derivative of -z**8/3080 + 9*z**7/1540 - 3*z**6/110 - z**3/6 - 37*z**2 - 35*z. Let l(u) be the second derivative of p(u). Factor l(g).
-6*g**2*(g - 6)*(g - 3)/11
Let x(c) = 31*c**4 + 85*c**3 - 444*c**2 - 732*c - 244. Let m(g) = 63*g**4 + 195*g**3 - 888*g**2 - 1464*g - 489. Let p(f) = -4*m(f) + 9*x(f). Factor p(l).
3*(l - 5)*(l + 2)**2*(9*l + 4)
Let o(h) be the first derivative of 322 + 2/9*h**3 + 68/3*h - 19/3*h**2. Solve o(n) = 0.
2, 17
Let l(i) be the second derivative of -i**6/216 + i**5/6 - 5*i**4/2 + i**3/6 - 2*i**2 - 7*i. Let y(o) be the second derivative of l(o). Factor y(x).
-5*(x - 6)**2/3
Let f(x) be the first derivative of -2*x**5/5 + 25*x**4/2 - 208*x**3/3 + 80*x**2 + 2618. Determine o so that f(o) = 0.
0, 1, 4, 20
Let m(i) be the third derivative of i**8/126 + 2*i**7/7 - 9*i**6/10 - 24*i**5/5 - 2025*i**2. Let m(p) = 0. What is p?
-24, -3/2, 0, 3
Let c(d) be the third derivative of -24*d**2 - 2/735*d**7 - 24/35*d**5 + 0*d + 0*d**3 - 18/7*d**4 + 7 - 1/14*d**6. Factor c(p).
-4*p*(p + 3)*(p + 6)**2/7
Let o be (-2473 - -2475)*(4/(-10) - 4/(-5)). Let n be 3 + -7 + 82/20. Solve -1/5 - 7/10*u - o*u**2 + n*u**5 - 1/5*u**3 + 1/5*u**4 = 0.
-1, 2
Let q = -70513406/19 - -3712969. Let r = q - 1737. Determine g so that 0 - r*g**2 + 16/19*g = 0.
0, 8
Let u = -495 + 528. Factor 1459 + 240*h + 29*h**2 - u*h**2 - 5059.
-4*(h - 30)**2
Let r(m) be the second derivative of -m**7/280 - m**6/60 + 11*m**5/40 + 3*m**4/2 - 4*m**3/3 + 3*m - 18. Let w(f) be the second derivative of r(f). Factor w(i).
-3*(i - 3)*(i + 1)*(i + 4)
Let f(c) be the first derivative of -c**5/270 + c**4/108 - c**2 + 10*c + 48. Let p(r) be the second derivative of f(r). Let p(u) = 0. What is u?
0, 1
Let k(t) be the first derivative of 5/2*t**2 - 4*t - 28 - 1/3*t**3. Solve k(a) = 0 for a.
1, 4
Factor -689*x + 17*x - 2*x**2 - 97200 - x**2 - 408*x.
-3*(x + 180)**2
Let r(o) be the second derivative of 7/15*o**3 + 10*o - 2/5*o**2 - 1/6*o**4 + 0. Factor r(l).
-2*(l - 1)*(5*l - 2)/5
Let n(x) = -1329*x + 156824. Let j be n(118). Solve -m**3 + j - 1/5*m**4 + 17/5*m + 3/5*m**2 = 0 for m.
-5, -1, 2
Solve -88 + 84/5*c**2 + 357/5*c - 1/5*c**3 = 0.
-5, 1, 88
Let r = -7/3455 - -6987/38005. Factor 0 - 10/11*i - r*i**2.
-2*i*(i + 5)/11
Let x be -13 + 18 + 5/((-7800)/7498). Let g = 1/156 + x. Let -g*w**2 + 2/5 + 1/5*w = 0. Calculate w.
-1, 2
Let g(z) be the first derivative of 10*z**5/3 - 205*z**4/6 + 548*z**3/9 + 108*z**2 + 48*z - 3575. Suppose g(c) = 0. Calculate c.
-2/5, 3, 6
Let o(t) be the second derivative of t**5/4 - 85*t**4/6 + 210*t**3 + 1620*t**2 + 70*t. Let o(h) = 0. What is h?
-2, 18
Let b(n) be the first derivative of -1/120*n**6 + 25/3*n**3 + 0*n**2 - 1/40*n**5 + 13 + 0*n + 0*n**4. Let v(i) be the third derivative of b(i). Factor v(o).
-3*o*(o + 1)
Let h(m) be the second derivative of 1/78*m**4 + 132*m - 1/130*m**5 + 0 - 1/13*m**2 + 1/39*m**3. Factor h(x).
-2*(x - 1)**2*(x + 1)/13
Let b(w) be the first derivative of -w**6/3 + 4*w**5 + 3*w**4 - 136*w**3/3 + 83*w**2 - 60*w + 395. Factor b(r).
-2*(r - 10)*(r - 1)**3*(r + 3)
Let z = 1192267/6 - 198654. Factor -z*x**4 - 539/3*x**3 - 210*x**2 - 125/6 - 325/3*x.
-(x + 1)*(7*x + 5)**3/6
Let g(v) be the first derivative of -2*v**6 - 688*v**5/5 - 708*v**4 - 4072*v**3/3 - 1170*v**2 - 424*v - 2727. Let g(r) = 0. Calculate r.
-53, -2, -1, -1/3
Let a(h) = -226*h**2 + 5*h - 4. Let t be a(1). Let r be 6/(-189)*15*210/t. Solve -16/9 - 16/9*m**4 + 32/9*m**2 + 4/9*m**5 - 8/9*m**3 + r*m = 0 for m.
-1, 1, 4
Let n(f) = f**3 - 9*f**2 + 9*f - 6. Let o be n(8). Let b = -2059 + 18533/9. Factor -b*g**3 - 8/9*g**4 + 4/9*g**o + 0*g + 0 + 2/3*g**5.
2*g**2*(g - 1)**2*(3*g + 2)/9
Factor 0*k**2 - 2/5*k**4 - 8/5*k + 0 + 6/5*k**3.
-2*k*(k - 2)**2*(k + 1)/5
Let f(b) = -4*b*