 6*s**4 + 6 - 3*s**3 + 0 - 18*s**p = 0. Calculate s.
-1, 1/2, 2
Let g(i) be the first derivative of 0*i + 1/90*i**6 + 3*i**3 - 7 - 1/2*i**4 - 1/15*i**5 + 0*i**2. Let h(t) be the third derivative of g(t). Solve h(s) = 0.
-1, 3
Let a(g) = 2*g**3 - 44*g**2 - 410*g - 1360. Let v(x) = -61*x. Let q(t) = -a(t) - 6*v(t). Factor q(n).
-2*(n - 34)*(n + 2)*(n + 10)
Factor -66 + 3/5*d**2 - 3/5*d.
3*(d - 11)*(d + 10)/5
Let c(h) be the third derivative of h**6/1080 - h**5/90 - h**4/54 + 4*h**3/9 + 569*h**2. Factor c(d).
(d - 6)*(d - 2)*(d + 2)/9
Let t = -1952 + 1955. Let a(s) be the first derivative of 1/30*s**4 + 2/15*s**t + 0*s - 10 + 2/15*s**2. Factor a(c).
2*c*(c + 1)*(c + 2)/15
Factor -164/11*o + 6/11*o**2 - 112/11.
2*(o - 28)*(3*o + 2)/11
Let q be 4/((-24)/(-10)) - 6/9. Let t be 0 - (q - 4)/(4 + -3). Solve -13*x**2 + 17*x - 5*x - 3 + 0*x - x**4 + 6*x**t - 1 = 0 for x.
1, 2
Factor -303/2 + 3/2*n**2 + 150*n.
3*(n - 1)*(n + 101)/2
Let k(j) be the second derivative of -3*j**5/20 - 205*j**4/4 - 5096*j**3 + 48672*j**2 + 1618*j. Let k(r) = 0. Calculate r.
-104, 3
Suppose -18 = -3*z - 30, -18*k + 88 = -4*z. Let x(w) be the first derivative of -81*w - 22 + 3/4*w**k + 81/2*w**2 - 9*w**3. Factor x(r).
3*(r - 3)**3
Let v(x) be the third derivative of 37/24*x**4 + 3*x**2 - 23/60*x**5 + 0*x - 94 + 1/40*x**6 + 5/2*x**3. Determine d so that v(d) = 0.
-1/3, 3, 5
Factor -1195*z + 3984 - 4*z**2 - 1081*z - 1704*z.
-4*(z - 1)*(z + 996)
Let c(x) be the second derivative of 0 + 4/3*x**4 - 8*x**2 + 75*x + 1/5*x**5 - 2/3*x**3. Determine l so that c(l) = 0.
-4, -1, 1
Suppose 12*d - 45/2 - 3/2*d**2 = 0. What is d?
3, 5
Find a, given that -64 + 318/5*a**2 - 88/5*a**3 + 88/5*a + 2/5*a**4 = 0.
-1, 1, 4, 40
Let v(h) = h**2 + h. Let k = -8 - -7. Let a(l) = 3*l - 63*l**3 - 3*l + 64*l**3 - 5*l. Let n(c) = k*a(c) - 2*v(c). Factor n(y).
-y*(y - 1)*(y + 3)
Let k(c) be the first derivative of 1/21*c**3 + 0*c + 20 - 1/7*c**2. Determine a so that k(a) = 0.
0, 2
Let r(k) be the second derivative of -k**5/15 + k**4 + 110*k**3/3 + 950*k**2/3 + 2592*k. Let r(c) = 0. Calculate c.
-5, 19
Solve 2*q - 2/3*q**3 + 4/3*q**2 + 0 = 0.
-1, 0, 3
Let u = 1477/2 + -38401/52. Let k(f) be the third derivative of 0*f - u*f**4 + 1/390*f**5 + 0 + 9*f**2 + 2/39*f**3. Factor k(v).
2*(v - 2)*(v - 1)/13
Suppose 20*a = -2140 + 2200. Let l(z) be the second derivative of 1/16*z**4 - 3/4*z**2 + 6*z - 1/8*z**a + 0. Factor l(b).
3*(b - 2)*(b + 1)/4
Let i(a) = a**2 - 42*a + 297. Let s be i(25). Let n be (144/s)/(673/676 - 1). Determine b so that 39*b + n + 3/2*b**2 = 0.
-13
Let n = 45632 - 45632. Let -1/4*u**2 + 1/2*u + n = 0. Calculate u.
0, 2
Let b(a) = -a + 23. Let z be b(13). Suppose 4*n - z = -p + 1, -7 = -3*n - p. Factor 3*d**3 - 4*d**n + 13*d**4 - 4*d + d**5 - 13*d**4 + 4*d**2.
d*(d - 2)**2*(d - 1)*(d + 1)
Let l = -2183/1343 - 11/79. Let y = 454/51 - l. Let 32/3 + 8/3*s**3 - 2/3*s**4 - y*s + 0*s**2 = 0. Calculate s.
-2, 2
Let b(z) be the second derivative of -z**5/4 + 175*z**4/16 - 65*z**3/12 - 3573*z - 1. Suppose b(t) = 0. Calculate t.
0, 1/4, 26
Let t be ((-2)/(-8))/(16 - 390/24)*4 - -62. Factor 30*j**2 + 2/3*j**3 + t*j + 86/3.
2*(j + 1)**2*(j + 43)/3
Let j(k) = -3*k + 3 + 0*k + 4*k - 2. Let f(d) = -2*d**3 - 28*d**2 - 95*d + 3. Let b(r) = f(r) - 3*j(r). Suppose b(x) = 0. What is x?
-7, 0
Let d(o) be the third derivative of 41*o - 1/108*o**4 + 1/135*o**5 + 0*o**3 + 1/1512*o**8 + 0*o**6 + 0 - 2/945*o**7 - o**2. Factor d(x).
2*x*(x - 1)**3*(x + 1)/9
Factor 367748*g**3 + 375*g - 547 - 367753*g**3 + 170*g**2 + 7.
-5*(g - 36)*(g - 1)*(g + 3)
Let b(n) be the second derivative of n**5/100 + 3*n**4/10 + 11*n**3/10 + 18*n**2 + 58*n. Let j(s) be the first derivative of b(s). Factor j(x).
3*(x + 1)*(x + 11)/5
Determine c so that 0 - 80/17*c**3 + 20/17*c + 14/17*c**4 + 46/17*c**2 = 0.
-2/7, 0, 1, 5
Let j(w) be the third derivative of -w**5/270 + 254*w**4/27 + 113*w**3/3 - 11*w**2 - 10*w + 3. What is o in j(o) = 0?
-1, 1017
Let o(b) be the second derivative of -b**7/14 + b**6 + 33*b**5/20 - 5178*b. Factor o(g).
-3*g**3*(g - 11)*(g + 1)
Let h = -9/33134 - -397707/364474. Factor 2/11*m - h + 8/11*m**2 + 2/11*m**3.
2*(m - 1)*(m + 2)*(m + 3)/11
Let a(s) be the second derivative of -s**7/840 + s**6/20 - 41*s**4/4 - 15*s + 1. Let z(x) be the third derivative of a(x). Factor z(r).
-3*r*(r - 12)
Let a(s) be the third derivative of -1/75*s**5 + 1/600*s**6 - 23*s**2 + 1/24*s**4 - 1/15*s**3 + 1 + 0*s. Factor a(n).
(n - 2)*(n - 1)**2/5
Let n(t) be the first derivative of -14/5*t**2 + 89 - 2/15*t**3 - 18*t. Factor n(c).
-2*(c + 5)*(c + 9)/5
Let k = -39/50 + 57/25. Factor k*a - 3/2*a**2 + 9.
-3*(a - 3)*(a + 2)/2
Let t = 1560123 - 1560121. Factor -2*a - 1/3*a**t - 8/3.
-(a + 2)*(a + 4)/3
Let y(c) be the second derivative of -c**5/10 - 83*c**4/6 + 28*c**3 + 9198*c. Determine w, given that y(w) = 0.
-84, 0, 1
Suppose 4*l + 762 = -2514. Let c be ((-7)/(l/270))/3. Solve 14/13*q + c*q**3 - 4/13 - 18/13*q**2 - 2/13*q**4 = 0.
1, 2
Let l(m) = 30*m - 558. Let g be l(0). Let y = g + 558. Find w, given that y + 0*w**2 + 2/5*w**4 + 0*w**3 + 0*w - 2/5*w**5 = 0.
0, 1
Let p = 1863449 - 1863446. Find g, given that -2/3*g**4 + 16*g - 4*g**p + 0 + 38/3*g**2 = 0.
-8, -1, 0, 3
Let d be 36/(-10)*12*(-80)/72. Let z be (-60)/54*d/(-20). Let -2/3*f**2 - 2 - z*f = 0. Calculate f.
-3, -1
Let y be (-205)/(-9) - (-7)/84*-28*(-30)/(-14). Factor 4/9*s**5 + 8/3*s**3 + 32/9*s**4 - y*s**2 + 0 + 100/9*s.
4*s*(s - 1)**2*(s + 5)**2/9
Determine x so that 40/9*x**3 - 580/9*x - 10*x**2 - 112/3 + 2/3*x**4 = 0.
-7, -3, -2/3, 4
Factor 845*x + 4*x**3 - 4141*x - 17152 - 736*x - 204*x**2.
4*(x - 67)*(x + 8)**2
Let c(d) be the third derivative of 13/24*d**4 - 11*d**2 + 1/120*d**6 + d**3 + 3 + 2/15*d**5 + 0*d. Factor c(a).
(a + 1)**2*(a + 6)
Let a(u) = -30*u**2 - 20845*u + 799865. Let j(z) = z**2 + 772*z - 29625. Let h(w) = -2*a(w) - 55*j(w). Solve h(f) = 0.
77
Suppose 0 = 4*a - a - 15. Let m be 21/15 - (-1)/(-10)*-6. Solve -15*d**4 - d - 15*d**3 - 5*d**a - 5*d**m + 7*d - 6*d = 0 for d.
-1, 0
Let y(a) be the third derivative of a**8/56 - 4*a**7/15 + a**6/180 + 131*a**5/45 - 65*a**4/9 + 8*a**3 + 1997*a**2. Determine l so that y(l) = 0.
-2, 2/3, 1, 9
Let h(m) be the third derivative of m**7/70 - 3*m**6/5 + 36*m**5/5 - 32*m**4 + 2887*m**2. Factor h(w).
3*w*(w - 16)*(w - 4)**2
Let p(u) be the third derivative of 0*u - 91*u**2 + 1/6*u**4 + 2/3*u**3 - 1/30*u**6 - 1/15*u**5 + 0. Let p(q) = 0. Calculate q.
-1, 1
Let c(o) be the second derivative of o**4/24 + 17*o**3/12 + 4*o**2 - o + 1141. Suppose c(q) = 0. Calculate q.
-16, -1
Let y(k) = k**2 - 5*k - 21. Let r be y(10). Let u = 32 - r. Find w, given that 12 + 3*w**u - 7*w - 12*w**2 + w**3 + 3*w = 0.
-1, 1, 3
Let g be (119/9 - 13)*18/1. Let t be g - (-4)/(-26)*25. Factor -4/13*x**3 + 0 - 6/13*x**4 + 0*x**2 + 0*x - t*x**5.
-2*x**3*(x + 1)*(x + 2)/13
Suppose 0 = -94*l - 109*l + 142 + 264. Solve g**l - 1/2*g**3 + 1/2*g - 1 = 0.
-1, 1, 2
Let q(t) be the second derivative of -2 - 39/140*t**5 - 3/35*t**6 - 3/7*t**4 + 0*t**2 - 117*t - 1/98*t**7 - 2/7*t**3. Factor q(k).
-3*k*(k + 1)**2*(k + 2)**2/7
Let y(c) be the first derivative of -104882*c**3/27 - 1832*c**2/9 - 32*c/9 - 1456. Find q, given that y(q) = 0.
-4/229
Let s(r) be the first derivative of -4*r**3/15 + 52*r**2/5 + 224*r/5 + 14219. Factor s(g).
-4*(g - 28)*(g + 2)/5
Let n(t) be the first derivative of 3*t**5/5 + 3*t**4 - 17*t**3 - 90*t**2 + 2594. Determine f so that n(f) = 0.
-5, -3, 0, 4
Let b be (70101/(-17532) + 4)*-4. Let w = 7765/4383 - b. Factor -10/9*i**2 + 2/9*i**3 + w*i - 8/9.
2*(i - 2)**2*(i - 1)/9
Suppose 350/3*w + 2/3*w**2 + 116 = 0. Calculate w.
-174, -1
Let h(b) be the second derivative of -7*b**5/25 + 17*b**4/5 - 28*b**3/15 - 3248*b - 1. Factor h(l).
-4*l*(l - 7)*(7*l - 2)/5
Let i(d) be the first derivative of -93 + 0*d + 1/20*d**4 + 1/5*d**3 + 0*d**2. Factor i(u).
u**2*(u + 3)/5
Suppose 3*f + 0 = 24. Suppose -x - 2 + f = 0. Let 6 + 2*o**2 + x - 12 = 0. What is o?
0
Factor 400*o**4 + 2*o**5 + 2259*o**2 + 41169*o**2 - 4224*o**2 + 20394*o**3.
2*o**2*(o + 2)*(o + 99)**2
Suppose 4*j + 5*g = -6, 9 = -2*g + 5. Suppose -5*x + j = 8*f - 5*f, -1 = f + 3*x. Solve -4/3 - 3*i - 1/3*i**3 - 2*i**f = 0 for i.
-4, -1
Let u = 2738 + -98561/36. Let j = u - -2111/252. Determine r so that -j*r 