2/7*h**a.
2*h**2*(h - 6)*(h + 1)/7
Suppose s = -4*m + 108, -s + 4*s + 68 = 2*m. Let a be (-1 - 0 - 1)/((-14)/m). Factor 118*k**3 - 12*k**a - k**5 - 126*k**3 - 3*k**5 + 0*k**4.
-4*k**3*(k + 1)*(k + 2)
Let x be 1*(-2 + -32) + 1. Let n(f) = 24*f**3 - 39*f**2 + 48*f. Let h(z) = 3*z**3 - 3*z - 8*z - 5*z**2 + 22*z - 5*z. Let u(y) = x*h(y) + 4*n(y). Factor u(b).
-3*b*(b - 2)*(b - 1)
Let v(c) be the third derivative of -1/135*c**5 + 2/9*c**3 + 0 + 5/108*c**4 - 42*c**2 - 1/540*c**6 - c. Factor v(q).
-2*(q - 2)*(q + 1)*(q + 3)/9
Let z(d) be the third derivative of d**6/480 - 11*d**5/80 + 105*d**4/32 - 225*d**3/8 - 952*d**2. Factor z(c).
(c - 15)**2*(c - 3)/4
Let b(l) be the second derivative of 0*l**2 - 1/840*l**6 - 2/3*l**3 + 3/56*l**4 + 0 - 1/140*l**5 + 8*l. Let i(g) be the second derivative of b(g). Factor i(w).
-3*(w - 1)*(w + 3)/7
Let b be (180/54)/(35/63). Let x(k) be the first derivative of -3/5*k**5 - k**3 - 8 + 9/8*k**4 + 3/8*k**2 + 1/8*k**b + 0*k. Factor x(d).
3*d*(d - 1)**4/4
Let m = 592 + -582. Let j be m*(-2 - -3)*7/35. Factor 3/5*o**4 - 3 - 42/5*o - 36/5*o**j - 6/5*o**3.
3*(o - 5)*(o + 1)**3/5
Let u(n) be the second derivative of n**7/56 - 39*n**5/80 + 9*n**3/2 - 778*n. Determine r so that u(r) = 0.
-3, -2, 0, 2, 3
Let k(o) be the second derivative of o**6/1440 + o**5/48 - o**4/4 - 35*o**3 - 347*o. Let v(c) be the second derivative of k(c). Suppose v(m) = 0. What is m?
-12, 2
Suppose -4*f = p - 22, 76*f + 2 = -4*p + 78*f. Suppose -p*m - 7 = -4*n - m, -3*n + 4 = -2*m. Let -28/3*k + 98/3 + 2/3*k**n = 0. Calculate k.
7
Suppose 2/9*o**4 + 0*o**3 + 0*o - 10/9*o**2 + 8/9 = 0. Calculate o.
-2, -1, 1, 2
Let b(n) be the second derivative of 3*n**6/200 - n**5/50 + 23*n**2/2 + 66*n. Let h(s) be the first derivative of b(s). Determine i so that h(i) = 0.
0, 2/3
Suppose 5*m - 32 = -4*c, m - c - 8 = 2. Suppose -2*f + 4*b = 0, -5*f - b + m = -3. Factor f*y + 3*y**2 + 2*y**2 - 6*y**2.
-y*(y - 2)
Suppose 0 = 719*d - 2715 + 558. Factor -1/2*i**2 + i**d - 3*i + 9/4 + 1/4*i**4.
(i - 1)**2*(i + 3)**2/4
Let z = -16547 - -16551. Let n(d) be the first derivative of 3/2*d**2 + 25/4*d**z - 12 - 2*d + 7*d**3 + 9/5*d**5. Solve n(l) = 0.
-1, 2/9
Factor 224*x + 52*x**2 + 156*x**3 - 56*x**3 - 49*x**3 - 47*x**3 + 320.
4*(x + 4)**2*(x + 5)
Factor 126*s + 122*s - 121*s + 2*s**2 + 91*s - 1180 + 960.
2*(s - 1)*(s + 110)
Let i(a) be the third derivative of -8/7*a**3 + 0*a**5 - 13/42*a**4 + 0*a + 1/210*a**6 + 0 + 63*a**2. Factor i(s).
4*(s - 4)*(s + 1)*(s + 3)/7
Suppose -10*w = -6003 - 6957. Suppose -w - 14*n**2 + 5*n**2 + 0*n**2 + 3*n**2 + 72*n + 5*n**2 = 0. What is n?
36
Suppose -15 = 145*c - 150*c. Suppose -4*u = 2*j - 6, c*j = 4*u - 6*u + 1. Solve -3/4*s - 1/4 + s**u = 0.
-1/4, 1
Let s(l) be the third derivative of -l**8/560 + 3*l**7/280 - 14*l**3/3 + 29*l**2. Let u(w) be the first derivative of s(w). Factor u(d).
-3*d**3*(d - 3)
Let 395641/10 + 629/5*b + 1/10*b**2 = 0. What is b?
-629
Determine g so that -330 + 2/3*g**3 - 166*g - 50/3*g**2 = 0.
-5, -3, 33
Let r(a) be the second derivative of -a**5/140 - 5*a**4/42 + 53*a**3/42 - 3*a**2 + 5*a + 40. Factor r(i).
-(i - 3)*(i - 1)*(i + 14)/7
Find j such that -997 - 353 - 28097*j**2 - 2*j**4 + 21*j**3 + 27593*j**2 + 1404*j + 47*j**3 = 0.
3, 25
Let x(p) be the first derivative of p**4/6 - 10*p**3/3 + 62*p**2/3 - 32*p - 504. Factor x(d).
2*(d - 8)*(d - 6)*(d - 1)/3
Solve 113*f**3 - 5*f**4 + 998*f**2 - 108*f**3 - 788*f**2 = 0.
-6, 0, 7
Let a(j) be the first derivative of -12*j**4 + 16*j**4 - 53 + 75*j**3 + 100*j**5 + 245*j**3 + 296*j**4 + 128*j**2. Factor a(z).
4*z*(5*z + 4)**3
Let l(i) be the first derivative of -1/160*i**5 + 2 - 3/64*i**4 - 1/8*i**3 + 0*i - 7/2*i**2. Let m(k) be the second derivative of l(k). Factor m(f).
-3*(f + 1)*(f + 2)/8
Find y, given that 18/5*y**5 - 562/5*y + 1184/5*y**3 - 172/5*y**2 - 24 - 348/5*y**4 = 0.
-1/3, 1, 4, 15
Let p be 0 - (4/(-16) + (-45)/12). Factor 18 + 9*h**3 - 2*h**4 - 33*h + 0*h**4 - h**4 + 9*h**2 + 0*h**p.
-3*(h - 3)*(h - 1)**2*(h + 2)
Let b(n) = -486*n**2 + 5346*n + 2. Let a be b(11). Factor 10/3*c**3 - 35/3*c + 5/6*c**4 - 20/3 - 5/2*c**a.
5*(c - 2)*(c + 1)**2*(c + 4)/6
Let w(s) = -4*s**3 + 118*s**2 - 1208*s + 4002. Let z(x) = -12*x**3 + 353*x**2 - 3628*x + 12007. Let t(n) = -7*w(n) + 2*z(n). Determine a so that t(a) = 0.
10
Let z(g) be the first derivative of 75*g**4/16 + 201*g**3/8 - 369*g**2/8 - 15*g/8 + 1647. Solve z(m) = 0 for m.
-5, -1/50, 1
Let v(s) be the first derivative of 4/9*s**2 - 1/18*s**5 - 4/27*s**3 - s - 13/54*s**4 - 8. Let c(f) be the first derivative of v(f). Factor c(m).
-2*(m + 1)*(m + 2)*(5*m - 2)/9
Let s be 366/15 + -2*2/10. Let f(t) = -34*t + 819. Let g be f(s). Suppose -2/5*d**4 + 0 + 0*d**g + 0*d**2 + 0*d - 2/5*d**5 = 0. What is d?
-1, 0
Let p(i) be the second derivative of -8/3*i**3 + 3*i + 0*i**2 - 1/5*i**5 - 37 - 5/3*i**4. Factor p(y).
-4*y*(y + 1)*(y + 4)
Let w(g) = 2082*g**2 + 32 + g**4 + 0*g**4 - 2073*g**2 - 34*g + 10*g**3. Let i(s) = s**4 - s**2 + s + 2. Let k(v) = 6*i(v) - w(v). Let k(j) = 0. What is j?
-2, 1, 2
Let z(u) = -24*u - 1293. Let a be z(-54). Let y(p) be the third derivative of -1/60*p**5 - 1/8*p**4 + 0*p + 0*p**a + 0 - 11*p**2. Solve y(q) = 0 for q.
-3, 0
Determine g so that 1/3*g**3 - 22*g**2 - 45*g - 68/3 = 0.
-1, 68
Let l(g) = -2*g**4 - 72*g**3 + 93*g**2 + 503*g. Let d(i) = -8*i**4 - 216*i**3 + 278*i**2 + 1506*i. Let s(m) = 3*d(m) - 10*l(m). Find o such that s(o) = 0.
-2, 0, 4, 16
Let b be ((-14)/32*(-5500)/1925)/((-3)/(-4)). Factor 5*l**3 + 10 + 85/3*l - b*l**4 + 25*l**2.
-5*(l - 6)*(l + 1)**3/3
Suppose -5*g + 57*x + 29 = 60*x, -g - x = -5. Determine c so that -85*c + 4*c - g*c + 180*c + 2*c**2 = 0.
-46, 0
Let g(m) be the third derivative of -1/90*m**5 + 14/9*m**3 + 0 - 5*m - 13/36*m**4 - m**2. Solve g(q) = 0.
-14, 1
Let p(w) be the first derivative of w**5/15 + 89*w**4/4 + 7921*w**3/3 + 704969*w**2/6 - 1292. Factor p(n).
n*(n + 89)**3/3
Let f(u) be the second derivative of u**6/195 - u**5/10 - 49*u**4/78 + u**3/3 + 48*u**2/13 - 1065*u. Find p, given that f(p) = 0.
-3, -1, 1, 16
Let 6/11*t**2 + 0 - 2/11*t**5 - 20/11*t - 6/11*t**4 + 2*t**3 = 0. Calculate t.
-5, -1, 0, 1, 2
Let d = 13531/115 - 2651/23. Factor 1/2*f**2 + 8/5 + d*f.
(f + 4)*(5*f + 4)/10
Let c(r) be the second derivative of 2*r**6/15 + 18*r**5/5 + 5*r**4 - 68*r**3/3 + 2552*r. Suppose c(q) = 0. Calculate q.
-17, -2, 0, 1
Factor 12/5*l**2 + 4/5*l**3 - 136/5*l - 96.
4*(l - 6)*(l + 4)*(l + 5)/5
Let y(l) be the first derivative of -l**4/2 - 216*l**3 - 34992*l**2 - 2519424*l - 3011. What is m in y(m) = 0?
-108
Let q(h) be the third derivative of -h**5/600 - 2*h**4/5 + 53*h**3/3 - 5*h**2 + 5*h - 5. Suppose q(y) = 0. Calculate y.
-106, 10
Let z be 1 - (((-10)/160)/(2/100) + 4). What is d in 0 - z*d**2 + 1/2*d = 0?
0, 4
Let n(v) = v**3 + 28*v**2 - 62*v - 60. Let k be 82/205 - 304/10. Let m be n(k). Determine f, given that f**3 + m + 7/5*f**2 + 3/5*f + 1/5*f**4 = 0.
-3, -1, 0
Suppose -o - 3*v - 437 = -471, o - v + 6 = 0. Factor -4 - 6*p**o + 19*p**3 - 26*p**2 + 1/2*p**5 + 33/2*p.
(p - 8)*(p - 1)**4/2
Let s(h) = h**2 + 15*h + 23. Let b be s(-10). Let o = -22 - b. Determine k so that 32*k**3 - 35*k**3 + 2*k**2 - o*k**2 + 3*k + 3 = 0.
-1, 1
Let c(v) be the third derivative of 7/48*v**4 + 1/4*v**3 + 1/24*v**5 + 0 + 1/240*v**6 - 138*v**2 + 0*v. Factor c(d).
(d + 1)**2*(d + 3)/2
Let k be 0 + (-3 - (-8 + 0)) - 1. Factor 48*h + 52 + k*h**2 - h**2 - 7.
3*(h + 1)*(h + 15)
Let u(n) = -6*n**5 + 3*n**4 + 33*n**3 + 30*n**2 + 3. Let x(f) = f**5 + f**4 + 2*f**3 - 1. Let j be -2*(4 + (-5)/2). Let c(o) = j*x(o) - u(o). Factor c(z).
3*z**2*(z - 5)*(z + 1)*(z + 2)
Let x(a) be the first derivative of 3*a**4/4 + 42*a**3 + 1539*a**2/2 + 4332*a + 2879. Find b, given that x(b) = 0.
-19, -4
Suppose i + 4 = 4*y, -46*y + 53*y - 6 = 2*i. Let g = 145 - 1593/11. Factor 8/11*f - g*f**y - 6/11.
-2*(f - 3)*(f - 1)/11
Suppose -52*r**3 + 40 + 17*r**3 - 7916*r**2 + 8041*r**2 - 130*r = 0. Calculate r.
4/7, 1, 2
Let u be (-23)/92 - 105/(-4). Determine i so that 10*i**4 - 84*i**3 + 200*i**2 - u*i + 97*i + 54*i - 11*i**3 = 0.
-1/2, 0, 5
Let d(g) be the first derivative of 0*g - 47 + 12*g**2 - 15/4*g**4 - 2*g**3 - 3/5*g**5. Determine a so that d(a) = 0.
-4, -2, 0, 1
Factor 3323*z**4 - 2*z**5 - 3261*z**4 + 68432*z**2 - 233