a - g*a**2 - 8/15 = 0. Calculate a.
1, 4
Let o be ((112/(-35))/1)/(116/(-6670)). Factor 4/7*p**5 + 1372 + o*p**3 + 116/7*p**4 + 952*p**2 + 2156*p.
4*(p + 1)*(p + 7)**4/7
Let z(c) be the third derivative of c**7/7560 + c**6/1080 + 9*c**4/4 + 3*c**2. Let l(k) be the second derivative of z(k). Factor l(s).
s*(s + 2)/3
Let t(i) be the third derivative of -3 - 9*i**2 - 1/2*i**3 + 0*i - 1/20*i**5 - 1/4*i**4. Factor t(d).
-3*(d + 1)**2
Let t be (-1100)/(-800)*(-2)/(-4). Let p(g) be the first derivative of 1/32*g**4 + t*g**2 - 5/8*g - 7/24*g**3 + 7. Let p(c) = 0. What is c?
1, 5
Let l be (-1 + (-5 + 8)/(-3))/(3/(-6)). Factor -2/3*a**3 - 1/3*a**5 + 0*a + a**l + 0*a**2 + 0.
-a**3*(a - 2)*(a - 1)/3
Suppose 0 = 9*v - 39 - 51. Let s be ((-104)/39)/(v/(-6)). Determine u so that 0*u**2 - 4*u**4 + 0 - 12/5*u**5 + 0*u - s*u**3 = 0.
-1, -2/3, 0
Suppose -1556*b + 6801 + 5647 = 0. Suppose 2/3*u**3 + 14*u - 20/3 - b*u**2 = 0. Calculate u.
1, 10
Suppose 7/3 - 8/3*b + 1/3*b**2 = 0. What is b?
1, 7
Let n(x) be the first derivative of x**3/2 - 9*x**2/16 + 1185. Factor n(a).
3*a*(4*a - 3)/8
Let c = 897589 - 49369869/55. Let s = -224/5 - c. Factor -14/11*u - 18/11*u**2 - 4/11 - s*u**4 - 10/11*u**3.
-2*(u + 1)**3*(u + 2)/11
Let c(z) be the first derivative of 50653*z**6/9 - 79402*z**5/3 + 186295*z**4/6 + 31970*z**3/9 + 440*z**2/3 + 8*z/3 - 2247. Let c(t) = 0. Calculate t.
-1/37, 2
Let f be 1260/10*27/2. Let c be ((-13)/(-3) - 3)*f/6. Factor c*z**2 - 6 - z - 2*z - 375*z**2.
3*(z - 2)*(z + 1)
Let t be ((-858)/(-715))/(12/30). Let 2/7*k**t + 1458/7 + 54/7*k**2 + 486/7*k = 0. Calculate k.
-9
Determine m, given that -9821*m**3 - 196*m**4 - 1576/7 - 8322*m**2 - 16580/7*m = 0.
-197/4, -2/7
Suppose -11*a = 242, 6*a = 3*h + 3*a + 1156 - 1237. Suppose 6/11*x - 8/11*x**4 - 4/11*x**3 - 2/11*x**h + 8/11*x**2 + 0 = 0. What is x?
-3, -1, 0, 1
Let k = -85850 + 85862. Factor 3/4*s**2 - 6*s + k.
3*(s - 4)**2/4
Let h(n) be the third derivative of -n**7/840 - n**6/32 - 9*n**5/40 + 9*n**4/8 + 27*n**3 - 7*n**2 + 123. Solve h(v) = 0.
-6, 3
Let x(v) be the third derivative of v**8/630 + 229*v**7/1575 - 137*v**6/300 + 119*v**5/450 + 59*v**4/180 + 435*v**2 + v. Suppose x(t) = 0. What is t?
-59, -1/4, 0, 1
Let l be (-7)/(-2)*19770/35. Let 245*z**3 - 200 - 449*z**2 + l*z - 2141*z**2 - 557*z = 0. Calculate z.
2/7, 10
Let t(y) be the third derivative of -y**6/30 - 2033*y**5/5 - 4133089*y**4/2 - 16805139874*y**3/3 + 1716*y**2. Let t(c) = 0. Calculate c.
-2033
Factor -1042568/9 + 4/9*l**3 - 2896/9*l**2 + 527060/9*l.
4*(l - 361)**2*(l - 2)/9
Suppose 5*y - 12 + 7 = 0, 4*o + 4*y - 12 = 0. Let s(f) be the first derivative of 14/33*f**3 + 8/11*f**o - 32/11*f + 16 + 1/22*f**4. Factor s(i).
2*(i - 1)*(i + 4)**2/11
Factor 3530*q**2 - 7016*q**2 + 3485*q**2 - 137*q - 365 + 1373.
-(q - 7)*(q + 144)
Suppose i - 17 = 5*m, -5*i = 5*m - 9*m - 43. Factor 3*h**3 + i*h**4 + 13*h**2 + 11*h**2 - 23*h**2 - 3*h - 8*h**4.
-h*(h - 3)*(h - 1)*(h + 1)
Let n(l) be the second derivative of -1/2*l**4 + 2*l**2 + 1/15*l**6 + 11*l - 1/10*l**5 + 0 + 1/3*l**3. Factor n(q).
2*(q - 2)*(q - 1)*(q + 1)**2
Let d be (-10236)/(-47768) - 10/(-28). Let o = -8531/7 - -1221. Let 20/7 - d*x**2 - o*x = 0. Calculate x.
-5, 1
Let -93/2*y**4 + 1/4*y**5 + 541*y + 1093/4*y**3 - 588*y**2 - 180 = 0. Calculate y.
1, 2, 180
Let c(a) be the first derivative of 5/24*a**4 - 29/18*a**3 + 10/3*a**2 - 8/3*a + 62. What is r in c(r) = 0?
4/5, 1, 4
Let b(s) be the second derivative of 0*s**3 + 0*s**2 + 1/30*s**6 + 190*s + 0 + 1/14*s**7 - 1/10*s**5 + 0*s**4. Solve b(t) = 0.
-1, 0, 2/3
Solve 99*l**3 + 0*l + 0 + 1/4*l**4 + 9801*l**2 = 0.
-198, 0
Factor 0 - 3/4*p**2 + 444*p.
-3*p*(p - 592)/4
Let l(k) = k**4 - 93*k**3 + 86*k**2 + k. Let p(b) = -b**4 - b**3 - 4*b**2 + b. Let s(x) = -l(x) + p(x). Factor s(w).
-2*w**2*(w - 45)*(w - 1)
Let b(q) be the second derivative of q**6/30 + q**4/12 + q**2/2 + q - 8. Let k(u) = -4*u**4 - u**3 - 5*u**2 - 5. Let a(i) = 5*b(i) + k(i). Factor a(g).
g**3*(g - 1)
Let f(n) be the third derivative of n**6/280 - 5*n**5/7 - 307*n**4/56 - 103*n**3/7 - n**2 - 73. Factor f(q).
3*(q - 103)*(q + 1)*(q + 2)/7
Let p(q) be the third derivative of 0*q**3 + 4/63*q**7 + 0*q**4 + 1/5*q**6 - 22*q + 0 + 1/504*q**8 + 0*q**5 + 2*q**2. Factor p(k).
2*k**3*(k + 2)*(k + 18)/3
Let q(x) = -x**4 - x**3 - x**2 - x. Let p = 263 + -261. Let t(o) = -3*o**5 + 49*o**4 - 128*o**3 - 2*o**2 - 2*o. Let k(v) = p*q(v) - t(v). Factor k(g).
3*g**3*(g - 14)*(g - 3)
Solve -8/13*f**2 + 898/13 - 3590/13*f = 0 for f.
-449, 1/4
Let y(n) = 9*n**3 - 1665*n**2 + 4740*n - 2388. Let x(p) = -3*p**3 - 10*p**2 + 1. Let f(h) = -8*x(h) - y(h). Factor f(i).
5*(i - 2)*(i + 119)*(3*i - 2)
Suppose 140*s - 11200 = -2395*s + 295*s. Find t such that 5/3*t**4 - 2*t**2 - 1/3*t**3 + 0 + 2/3*t**s + 0*t = 0.
-2, -3/2, 0, 1
Let z = 377 + -350. Factor -8*p**2 + 21*p**2 - 19*p + 83*p + 14*p + 344*p**2 + z*p**3.
3*p*(p + 13)*(9*p + 2)
Let f(l) = 10*l**2 + 120*l + 260. Let p(b) = 29*b**2 + 364*b + 782. Let j(i) = 17*f(i) - 6*p(i). Determine m so that j(m) = 0.
-34, -2
Let v(g) be the third derivative of -g**7/280 + g**6/48 - g**5/20 + g**4/16 - 19*g**3/3 - 160*g**2. Let o(w) be the first derivative of v(w). Solve o(n) = 0.
1/2, 1
Suppose -46*o + 821 = -7. Let i be 117/o + 55/(-11). Let 1/6 + 53/6*t**3 - 5/6*t - 8*t**5 + 4/3*t**4 - i*t**2 = 0. Calculate t.
-1, -1/3, 1/4, 1
Let m(g) = -4*g**3 - 11*g**2 + 44*g - 24. Let n(k) = k**2 + k - 1. Let o(p) = 4*p**2 + 3*p - 3. Let q(u) = 3*n(u) - o(u). Let z(x) = m(x) + 5*q(x). Factor z(w).
-4*(w - 1)**2*(w + 6)
Let o(h) be the first derivative of 32 + 5/4*h**4 - 17/3*h**3 + 8*h**2 - 4*h. Factor o(c).
(c - 2)*(c - 1)*(5*c - 2)
Let p = -84 + 90. Let i be p + -1 - 0/(-4). Solve -1580*s**i + 9*s**4 - 4*s**2 - s**4 + 1582*s**5 - 10*s - 4 + 8*s**3 = 0.
-2, -1, 1
Let w(q) be the third derivative of 0 + 4*q**2 - 4/3*q**3 + 0*q**4 - 2*q + 1/30*q**5. Factor w(t).
2*(t - 2)*(t + 2)
Let r be ((-4)/(-14))/(-2) - (-1323)/2058. Let f(p) be the first derivative of -1/3*p - 1/3*p**3 + 15 + 1/12*p**4 + r*p**2. Factor f(i).
(i - 1)**3/3
Let m = -26391 - -26393. Factor -432/5 + 6/5*y**3 + 72*y - 84/5*y**m.
6*(y - 6)**2*(y - 2)/5
Let d(p) be the first derivative of -p**6/10 + 3*p**5/5 + 5*p**4/4 + 53*p + 91. Let q(v) be the first derivative of d(v). Solve q(g) = 0 for g.
-1, 0, 5
Suppose -12*g**2 + 12*g**4 + 23/2*g - 11*g**3 + 0 - 1/2*g**5 = 0. Calculate g.
-1, 0, 1, 23
Let c(j) = -j**3 - 5*j**2 - 22*j - 110. Let o be c(-5). Factor -5*x + 0*x**4 + 4*x**4 - 20*x**2 + o*x**4 - 4*x**3 - 7*x.
4*x*(x - 3)*(x + 1)**2
Let u(c) be the first derivative of c**6/120 - c**5/60 - c**4/12 + 19*c**2/2 - c - 10. Let p(j) be the second derivative of u(j). Let p(l) = 0. Calculate l.
-1, 0, 2
Factor -45526*p**4 + 341*p + 45521*p**4 + 33*p + 176*p + 34*p**2 - 149*p**2 - 70*p**3.
-5*p*(p - 2)*(p + 5)*(p + 11)
Let z(p) = 9*p**2 - 33*p - 708. Let a(c) = c**2 + 3. Let o(n) = -6*a(n) + z(n). Determine j, given that o(j) = 0.
-11, 22
Let w(b) be the first derivative of b**5/10 + b**4/2 - 2*b**3/3 - 4*b**2 - 2316. Factor w(j).
j*(j - 2)*(j + 2)*(j + 4)/2
Let w = 31162/165 + -6206/33. Solve -4/5 + 8/5*p**2 + 0*p - w*p**4 + 0*p**3 = 0 for p.
-1, 1
Let l(x) be the third derivative of -x**5/15 + 7*x**4/3 - 22*x**3 - 4857*x**2. Factor l(q).
-4*(q - 11)*(q - 3)
Let j = -29 - -31. Let o(h) = -30*h**3 - 22 - 290*h**2 - 46*h - 180*h - j*h**3. Let y(v) = -v**3 + v - 1. Let a(w) = -2*o(w) - 36*y(w). Factor a(m).
4*(m + 5)*(5*m + 2)**2
Let d(n) be the first derivative of n**5/30 - 7*n**4/6 - 5*n**3 + 66*n**2 - 57. Let s(w) be the second derivative of d(w). Find o, given that s(o) = 0.
-1, 15
Suppose 0 = -4*i + 8, 11*d - 8*d - 16 = -5*i. Factor -2426*z**2 + 808*z**d + 800*z**2 - 3*z**3 + 803*z**2 - 18*z.
-3*z*(z + 2)*(z + 3)
Let c(o) = -o**2 - 19*o - 72. Let m be c(-6). Factor 10*s - s + s + 3*s**2 - 19*s + m.
3*(s - 2)*(s - 1)
Let w(d) = -9*d**2 + 18*d + 17. Let i(a) = -2*a**2 - 16 + 10*a**2 + 61*a - 77*a. Let h(f) = 5*i(f) + 4*w(f). Find p such that h(p) = 0.
-1, 3
Let h(l) be the third derivative of l**8/1176 + l**7/147 + l**6/70 - l**5/105 - l**4/12 - l**3/7 + 1233*l**2. Factor h(a).
2*(a - 1)*(a + 1)**3*(a + 3)/7
Let q(m) = -m**2 + m - 1. Let a(r) = -r**3 - 2*r**2 + 9*r - 8. Let h(s) = s - 1. Let j be h(-1). Let i(z) = j*