(-7)/(-3) + (-38040)/6624. Let k = t - -7/92. Factor -8/3*i + 1/3*i**4 - 1/3*i**5 - k - 1/3*i**2 + 5/3*i**3.
-(i - 2)**2*(i + 1)**3/3
Let q be 19/8 + 0 - (29 - (-2519)/(-88)). Let i(l) be the first derivative of 9 + 1/4*l**q + 1/18*l**3 + 0*l. Factor i(s).
s*(s + 3)/6
Let g(i) be the first derivative of 13/2*i**4 + 0*i + 1024/5*i**2 - 61 + 2/25*i**5 + 2176/15*i**3. Solve g(a) = 0 for a.
-32, -1, 0
Let b = -19 + 29. Suppose 13 - b = a. Factor -15*h + 4 + 2 + h**3 + 4*h**a + 4.
5*(h - 1)**2*(h + 2)
Suppose 35*p + 97*p = -60*p + 1728. Factor -1/2*m**2 + 3/2*m + p.
-(m - 6)*(m + 3)/2
Let b = 12 + -11. Let d be ((-6)/(-24))/(b/8). Factor 12*r - 8 + 4*r**4 + 13*r**2 - 18*r**2 - 12*r**3 + 9*r**d.
4*(r - 2)*(r - 1)**2*(r + 1)
Let w(o) = -5*o**2 + 3450*o - 588285. Let v(h) = -2*h + 4. Let l(r) = -10*v(r) - w(r). Determine b, given that l(b) = 0.
343
Let i(h) be the second derivative of h**8/560 - 5*h**3/6 + 3*h**2 - 15*h. Let b(a) be the second derivative of i(a). Factor b(u).
3*u**4
Let q(w) be the third derivative of w**8/70560 + w**7/1960 + w**6/180 + 13*w**5/12 + 8*w**2 - 4*w. Let x(y) be the third derivative of q(y). Factor x(k).
2*(k + 2)*(k + 7)/7
Let b(o) = 20*o**3 + 5*o**2 - 25*o - 2. Let r(c) = -22*c**3 - 5*c**2 + 26*c. Let h(u) = 9*b(u) + 8*r(u). Factor h(l).
(l - 2)*(l + 1)*(4*l + 9)
Let a = -8/705 - -1709/138180. Let n = 1957/2940 + a. Let n*y**2 + 0 + 4/3*y**3 + 0*y + 2/3*y**4 = 0. Calculate y.
-1, 0
Let q(j) be the first derivative of j**9/756 - j**8/105 + 8*j**6/45 - 8*j**5/15 + j**3/3 + 39*j + 66. Let t(x) be the third derivative of q(x). Factor t(d).
4*d*(d - 2)**3*(d + 2)
Suppose -8 + 55 = 5*d + 2*b, d - 5*b - 4 = 0. Suppose 0 = -3*x + d, p - 13 = -p - 3*x. Factor p*j**3 + 3 + 4*j - 7 - 6*j**3 + 4*j**2 + 0*j**3.
-4*(j - 1)**2*(j + 1)
Let c(t) be the third derivative of t**5/24 - 485*t**4/24 - 325*t**3/4 - 43*t**2. Factor c(k).
5*(k - 195)*(k + 1)/2
Let q(y) be the first derivative of -76 + 0*y**4 + 0*y + 3/40*y**5 - 1/8*y**3 + 0*y**2. Factor q(r).
3*r**2*(r - 1)*(r + 1)/8
Let r(j) = 10*j**2 - 109*j - 415. Let s be r(-3). Factor f**3 - 1/6*f**5 + 2/3*f**s - 13/6*f - 1/3*f**4 + 1.
-(f - 1)**3*(f + 2)*(f + 3)/6
Let v = 91890 + -91890. Solve v + 19/4*r + 1/4*r**2 = 0.
-19, 0
Let c be (-2)/121 + (-122958)/(-30613). Let 0*z + 0 + 2/5*z**5 + 2*z**c + 14/5*z**3 + 6/5*z**2 = 0. Calculate z.
-3, -1, 0
Suppose 0 = -651*w + 1293*w + 1478*w. Suppose w + y**2 + 1/2*y**3 - 12*y = 0. Calculate y.
-6, 0, 4
Let s(q) be the third derivative of q**7/210 + 19*q**6/150 + q**5/20 - 394*q**2 - 4*q. Factor s(r).
r**2*(r + 15)*(5*r + 1)/5
Let r(i) be the third derivative of -i**5/20 - 28*i**4 - 6272*i**3 - 638*i**2. Suppose r(x) = 0. What is x?
-112
Let s(x) = 11*x - 4. Let h be s(9). Find w such that h*w + 117*w + w**2 - 179*w + 32 = 0.
-32, -1
Let y = -2803/12 - -707/3. Let x(k) be the third derivative of 0 + 5/24*k**4 + 5*k**2 + y*k**3 + 0*k + 1/120*k**5. Factor x(b).
(b + 5)**2/2
Let g(z) be the second derivative of 0*z**4 - 11/5*z**6 + 0*z**2 - 1/5*z**5 + 0*z**3 + 5 + 7*z. Factor g(l).
-2*l**3*(33*l + 2)
Let k(f) = 64*f**2 + 58*f - 3. Let d be k(-1). Let s = 90 - 1168/13. Suppose -s*b - 2/13*b**d - 4/13*b**2 + 0 = 0. What is b?
-1, 0
Suppose -2*m + 13 = 9. Let x(w) = w**3 + w**2 - 4*w - 1. Let q be x(m). Suppose 8*a**q + 4*a**2 + 6*a**2 - 8*a - 10*a**3 = 0. What is a?
0, 1, 4
Let k(g) be the first derivative of -5*g**3/4 + 160*g**2 + 880*g + 7811. Solve k(s) = 0.
-8/3, 88
Let z(i) = -i**2 + 11*i - 26. Let l be z(3). Let r be -1 - l - 2/6. Factor 0*s - 2/3 + r*s**2.
2*(s - 1)*(s + 1)/3
Let w(g) be the second derivative of g**6/180 + 11*g**5/60 + 19*g**4/9 + 133*g**3/18 - 147*g**2/4 - 1405*g. Determine r so that w(r) = 0.
-9, -7, 1
Suppose -3*c = -3*s - 9, 3*c - 8 = 4*s - 2*s. Suppose 16113*j**c - 5 - 10*j**3 + 10*j - 16113*j**2 + 5*j**4 = 0. Calculate j.
-1, 1
Let s(p) be the third derivative of -1/24*p**4 + 23*p - 1/12*p**3 + 0 - 2*p**2 - 1/120*p**5. Let s(f) = 0. What is f?
-1
Suppose -412*m = -433*m. Let n(v) be the second derivative of -1/14*v**4 - 1/35*v**5 + 0 + 1/105*v**6 + m*v**2 - 18*v + 0*v**3. Find x, given that n(x) = 0.
-1, 0, 3
Let v(z) = 3*z**2 + 2*z + 46 + 22*z - z**2 + 24*z. Let l be v(-23). Factor 10/3*i**2 + l - 4/3*i.
2*i*(5*i - 2)/3
Let r = -1206 - -1796. Let f = -2946/5 + r. Determine j, given that f - 2/5*j**4 - 6/5*j**3 + 6/5*j - 2/5*j**2 = 0.
-2, -1, 1
Factor 1/4*y**5 + 1/2*y**2 - 1/2*y**4 + 0*y - 1/4*y**3 + 0.
y**2*(y - 2)*(y - 1)*(y + 1)/4
What is n in -1238/13*n - 616/13*n**2 + 2/13*n**3 - 620/13 = 0?
-1, 310
Let u(p) be the second derivative of 10*p**6/3 + 24*p**5 - 571*p**4/3 + 356*p**3 - 288*p**2 + 48*p - 5. Factor u(b).
4*(b - 2)*(b + 8)*(5*b - 3)**2
Factor 425/3*n + 1/3*n**2 - 142.
(n - 1)*(n + 426)/3
Let p = -4/59 - -154/531. Let k = -1263 - -1263. Suppose -p*r**3 + 0*r + 2/9*r**2 + k = 0. Calculate r.
0, 1
Let j(i) = -5*i - 26. Let z be j(-6). Determine h so that 12*h**3 - 3*h**z + 239*h**2 - 227*h**2 + 5*h**5 - 8*h**5 = 0.
-2, -1, 0, 2
Suppose 10*y - 9 = 11. Factor 2*b - 5*b + 15*b**y - 4*b - 5*b**3 - 3*b.
-5*b*(b - 2)*(b - 1)
Let i = 280 - 271. Let v be (9/32)/(i/12). Factor 0 - v*m**2 + 3/8*m.
-3*m*(m - 1)/8
Let t(z) be the first derivative of -192 + 25/2*z**2 + 5/3*z**3 + 30*z. Factor t(g).
5*(g + 2)*(g + 3)
Find v such that 32/7*v**4 - 2/7*v**5 - 100/7*v**2 + 40/7*v**3 - 38/7*v + 68/7 = 0.
-2, -1, 1, 17
Suppose w + 5*r - 23 = 0, -3*w + 3*r = 6*r - 33. Suppose 123 = 6*p - 45. Find y, given that -w - 16*y**3 - 9/2*y**4 - p*y**2 - 1/2*y**5 - 24*y = 0.
-2, -1
Let l = 43 + -22. Suppose -p - 3 = -l. Factor -4*j**4 - j**4 - p*j - 2*j - 176*j**2 + 136*j**2 - 25*j**3.
-5*j*(j + 1)*(j + 2)**2
Let v = 182 - 719/4. Let f(x) = 2*x**3 - 3*x**2 - x + 2. Let p be f(1). Factor 3/4*m**4 + p*m + 0 - v*m**3 + 3/2*m**2.
3*m**2*(m - 2)*(m - 1)/4
Let z be 190/(-57) - 70/(-21). Let w(v) be the first derivative of 15/4*v**4 - 2*v**3 - 21 - 6/5*v**5 + z*v + 0*v**2. What is s in w(s) = 0?
0, 1/2, 2
Let z = -18785 + 18787. Let j(k) be the second derivative of 0 + 1/12*k**3 + 11*k + 1/24*k**4 - 1/4*k**z - 1/40*k**5. Determine s, given that j(s) = 0.
-1, 1
Let k(u) be the first derivative of 1/16*u**4 + 0*u + 1/2*u**2 - 5/12*u**3 - 93. Factor k(y).
y*(y - 4)*(y - 1)/4
Let t = 199654/5 - 199651/5. Factor -288/5*n - t*n**2 - 6912/5.
-3*(n + 48)**2/5
Let d(z) = 65*z**2 + 127185*z - 90100125. Let c(a) = -7*a**2 - 14132*a + 10011125. Let f(t) = 55*c(t) + 6*d(t). Solve f(x) = 0 for x.
1415
Factor 572226 + 862*t - 6756*t + 1104*t + 5*t**2 + 574979.
5*(t - 479)**2
Suppose 78*x + 267 = 891. Let l(h) be the first derivative of 22/9*h**2 - 4/9*h**3 + 16/9*h + x. Factor l(k).
-4*(k - 4)*(3*k + 1)/9
Suppose -5*y - 1 = 4*m - 0*m, 9 = 4*m - 5*y. Let p be 2 - (m - (-3 - -4)). Suppose -9*j + 6*j - 2*j + 5*j**p = 0. Calculate j.
0, 1
Let i(u) be the first derivative of 1/2*u**4 - 8*u - 7*u**2 - 4/3*u**3 + 25. Suppose i(m) = 0. What is m?
-1, 4
Determine z, given that 194481 + 1/4*z**2 + 441*z = 0.
-882
Factor 5142706 + 411/2*q**2 - 56307*q - 1/4*q**3.
-(q - 274)**3/4
Let t be ((-64010)/(-44807))/(2 + 23/(-14)). Factor 0 - 16/11*w**3 - 2/11*w**t - 30/11*w**2 + 0*w.
-2*w**2*(w + 3)*(w + 5)/11
Let l(w) be the first derivative of -3*w**5 - 3905*w**4/4 - 254800*w**3/3 - 42250*w**2 + 647. Factor l(t).
-5*t*(t + 130)**2*(3*t + 1)
Let l(y) = 10*y**2 + 30*y - 15. Suppose -112*s - 7 = -105*s. Let a(c) = -c**2 - 2. Let i(r) = s*l(r) - 15*a(r). Let i(k) = 0. Calculate k.
3
Let b(l) be the first derivative of -2*l**5/65 + 35*l**4/26 + 304*l**3/39 + 12*l**2 + 593. Factor b(v).
-2*v*(v - 39)*(v + 2)**2/13
Let p = -186 + 195. Determine a so that 14*a**2 + 35*a - p*a**2 + 5*a = 0.
-8, 0
Let y(v) be the second derivative of 0 + 1/120*v**6 - 1/6*v**4 - 4*v**3 + 18*v**2 + 1/10*v**5 + 14*v. Factor y(u).
(u - 2)**2*(u + 6)**2/4
Let c(q) = 25108*q + 75326. Let p be c(-3). Find n such that 3/4*n**p - 27/2 + 9/4*n = 0.
-6, 3
Let i(p) = p**3 - 10*p**2 + 645*p - 6448. Let o be i(10). Factor -18/7*s**3 - 12/7*s**o - 2/7*s**4 + 32/7*s + 0.
-2*s*(s - 1)*(s + 2)*(s + 8)/7
Suppose 0 = 5*y - 320 - 465. Determine l so that -153*l + y*l - 22*l**2 + 2*l**4 + 34*l**3 - 7*l**4 - 7*l**4 = 0.
0, 1/3, 1/2, 2
Let b(o) be the third derivative of 254*o**2 - 1/168*o**8 + 0 + 0*o**3 + 0*o + 17/60*o**6 +