tor 26/5 - 106/5*p + 8/5*p**2.
2*(p - 13)*(4*p - 1)/5
Let f(o) be the second derivative of o**7/42 + o**6/2 - 71*o**5/20 + 31*o**4/4 - 19*o**3/3 + 583*o. Factor f(y).
y*(y - 2)*(y - 1)**2*(y + 19)
Factor -114*g**3 - g**4 - 10*g + g**4 - g**4 - 37*g**2 + 102*g**3 + 16*g**2.
-g*(g + 1)**2*(g + 10)
Let r = 1923 - 1920. Let p(h) be the first derivative of 3/5*h**2 + 4/5*h - r + 2/15*h**3. Factor p(b).
2*(b + 1)*(b + 2)/5
Suppose 8*h = -417 + 2441. Let a = 2279/9 - h. Determine g, given that 0 - 2/3*g**3 + 4/9*g**2 + a*g = 0.
-1/3, 0, 1
Let f be 9 + -2 - (3 - (0 + 0)). Solve 268 - f*x**3 + 2*x - 2*x**2 - 266 + 2*x**3 = 0 for x.
-1, 1
Let k(p) = 5*p - 11. Let j be k(4). Let s be 3/(-3) - (3 + (0 - j)). Determine w, given that 1/4*w**s + 0 - 1/2*w**2 + 1/2*w**4 + 0*w**3 - 1/4*w = 0.
-1, 0, 1
Let k(s) be the first derivative of s**4/10 + 62*s**3/3 + 6083*s**2/5 + 11858*s/5 - 476. Determine o, given that k(o) = 0.
-77, -1
Let p(j) be the first derivative of 5*j**3/3 + 5*j**2 - 9. Factor p(x).
5*x*(x + 2)
Let d(r) = -44*r**2 + 68*r + 792. Let x(c) = -4*c**2 + 6*c + 72. Let q(h) = 3*d(h) - 32*x(h). Factor q(i).
-4*(i - 6)*(i + 3)
Suppose 24*c + 4 = 26*c. Let n(l) be the first derivative of -1/20*l**4 - 1/15*l**3 + 0*l**c - 1 + 0*l. Factor n(a).
-a**2*(a + 1)/5
Let v be (1 - (-14)/(-4))*(-44)/55. Suppose -u = -19 + 3. Factor 11*l**v + 18 - u - 4*l**2 + 9*l.
(l + 1)*(7*l + 2)
Let d = 86 - 83. Let w(b) be the third derivative of 0*b**4 - 1/10*b**5 - b**2 + 0 + 0*b**d + 0*b + 1/40*b**6. Factor w(m).
3*m**2*(m - 2)
Let h(n) be the third derivative of -n**7/1260 - n**6/180 - n**5/60 + n**4/3 - 2*n**2. Let a(u) be the second derivative of h(u). Factor a(g).
-2*(g + 1)**2
Factor -18/5 + 213/5*b - 69/5*b**2.
-3*(b - 3)*(23*b - 2)/5
Let v be 2/(-8) + ((-1183)/28)/(-13). Factor -2*h**2 + 14*h**2 - 11*h**2 + 5*h - v*h.
h*(h + 2)
Let k(c) be the first derivative of c**8/2016 + c**7/504 - c**5/72 - 5*c**4/144 - 4*c**3/3 - 10. Let z(j) be the third derivative of k(j). Solve z(f) = 0.
-1, 1
Let j be (-9)/6 - 10/(-4). Let a be (1 + j)/((-4)/(-16)). Factor -4*t**2 + 9*t + a - 2*t - t - 2*t.
-4*(t - 2)*(t + 1)
Let m(i) be the first derivative of -i**4/12 + 2*i**3/3 + i**2/6 - 2*i - 165. Factor m(a).
-(a - 6)*(a - 1)*(a + 1)/3
Suppose -13 = -3*l + 41. Factor -2*v + 4*v**3 + 7*v**2 - 25*v**2 + l*v**4 - 2*v.
2*v*(v - 1)*(v + 1)*(9*v + 2)
Let s be (130/20 - (-2)/4) + (-35)/5. Let -1/3*a**3 - a**2 + s + 0*a = 0. Calculate a.
-3, 0
Let s(a) be the second derivative of 9/8*a**2 - 1/2*a**3 + 12*a + 0 + 1/16*a**4. What is b in s(b) = 0?
1, 3
Let s(y) = 66*y - 327. Let t be s(5). Determine f so that 1/2*f**2 - 1/6*f**t + 1/6 - 1/2*f = 0.
1
Let t(l) = 25*l**3 - 80*l**2 + 1835*l + 5075. Let f(o) = -3*o**3 + 9*o**2 - 204*o - 564. Let p(g) = -35*f(g) - 4*t(g). Factor p(n).
5*(n - 7)*(n + 4)**2
Suppose -394*o - 16 = -398*o. Let y be 0 + (o - (-120)/(-35)). Factor -20/7*m**4 + 0 - 32/7*m**3 - y*m**2 + 8/7*m.
-4*m*(m + 1)**2*(5*m - 2)/7
Let v(n) be the second derivative of n**4/12 - 11*n**3/6 - 21*n**2 - 92*n. Find t, given that v(t) = 0.
-3, 14
Let x(o) be the second derivative of o**5/10 + o**4/6 - o**3/3 - o**2 - 10*o - 5. Find k such that x(k) = 0.
-1, 1
Suppose 17 - 49 + 2 = -5*w. Factor 3/2*x**2 + 15/2*x + w.
3*(x + 1)*(x + 4)/2
Let u be 8/(-28)*(-21)/45. Let k(h) be the first derivative of -1/5*h**2 + u*h**3 + 6 + 0*h + 1/10*h**4 - 2/25*h**5. Let k(y) = 0. What is y?
-1, 0, 1
Let c(n) be the third derivative of -5*n**8/336 + n**7/21 + n**6/8 + n**2 - 80*n. Let c(d) = 0. What is d?
-1, 0, 3
Let t(b) be the first derivative of 4/3*b - 4/9*b**3 - 7/6*b**4 + 4 + 7/3*b**2. Determine f so that t(f) = 0.
-1, -2/7, 1
Let x(b) = -b**3 + 8*b**2 - 10*b - 10. Suppose -10*g = -95 + 35. Let s be x(g). Factor 16/7 + 20/7*k**s + 32/7*k + 4/7*k**3.
4*(k + 1)*(k + 2)**2/7
Factor -3*f**3 - 3*f - 1 + 4 - 105*f**2 + 6*f + 102*f**2.
-3*(f - 1)*(f + 1)**2
Suppose -5*z - 19 = -5*r + 1, -3*r - 4*z = -12. Let r + 0 + 20*f**2 - 21*f**2 = 0. Calculate f.
-2, 2
Suppose -2*z + 3 = -7. Suppose -3*n - z = -20. Factor f**n + f**5 - 4*f**5.
-2*f**5
Find j, given that -171/11*j - 87/11*j**2 - 85/11 - 1/11*j**3 = 0.
-85, -1
Suppose 352/13*k + 15488/13 + 2/13*k**2 = 0. Calculate k.
-88
Suppose 17 - 17 = 19*g. Let x(c) = -c - 7. Let n be x(-7). Factor n + 2/5*a + g*a**2 - 2/5*a**3.
-2*a*(a - 1)*(a + 1)/5
Let m(x) = -5*x**2 - 4*x + 3. Suppose s + 5*d - 24 = 2*d, 3*s - 42 = -3*d. Let w(n) = -2*n**2 + 12*n**2 - s*n**2. Let k(p) = -m(p) - 6*w(p). Factor k(f).
-(f - 3)*(f - 1)
Let p be (8/2)/((0 - 1)/(-1)). Let q(d) be the second derivative of -1/36*d**p + 1/6*d**2 + 0*d**3 + 0 + 2*d. Find r, given that q(r) = 0.
-1, 1
Let w(t) = 82*t**2 + 371*t + 355. Let s(i) = -15*i**2 - 74*i - 71. Let q(n) = 22*s(n) + 4*w(n). What is x in q(x) = 0?
-71, -1
Let s(g) = 7*g**2 - 2*g - 1. Let f be s(1). Suppose k - f*k + 3*m = 0, 5*k + 2*m = 14. Factor -16/5*j + 32/5 + 2/5*j**k.
2*(j - 4)**2/5
Let a(m) be the third derivative of -1/3*m**3 + 0*m + 0 + 1/6*m**4 - 19*m**2 - 1/30*m**5. Factor a(g).
-2*(g - 1)**2
Let z = 11648 + -58237/5. Find i, given that z*i**3 - 3/5 - 3/5*i + 3/5*i**2 = 0.
-1, 1
Let j be (-14)/21 - 7/3*-5. Suppose -3*g + 42 = j*g. Suppose 0*k**g + 2/3*k**4 + 0*k**2 + 0*k + 0 = 0. Calculate k.
0
Let -23/5 - 22/5*h + 1/5*h**2 = 0. What is h?
-1, 23
Let -4*d**4 - 2*d + 6*d - 4*d - 19*d**2 + 15*d**3 + 3*d + 3*d**2 + 2 = 0. Calculate d.
-1/4, 1, 2
Let a = 211 - 209. Let w(n) be the third derivative of -1/84*n**4 - 1/210*n**5 + 0 + 0*n - 5*n**a + 0*n**3. Determine z so that w(z) = 0.
-1, 0
Let l(c) be the second derivative of c**7/420 - c**6/240 - c**5/40 + 5*c**4/48 - c**3/6 - 10*c**2 + 3*c. Let h(x) be the first derivative of l(x). Factor h(o).
(o - 1)**3*(o + 2)/2
Suppose -5*d = 0, -k - 2*d = 4*k - 55. Let u be (2 - 12/5)*-5. Determine q so that -q - u + q**2 + k - 5*q = 0.
3
Factor -899/5*w - 841/5 - 1/5*w**3 - 59/5*w**2.
-(w + 1)*(w + 29)**2/5
Let o(d) be the first derivative of -d**8/336 - d**7/210 + d**6/120 + d**5/60 - 20*d**2 - 27. Let z(a) be the second derivative of o(a). Factor z(u).
-u**2*(u - 1)*(u + 1)**2
Suppose -4*n = 3*x + 3, -26*n + 24*n = 2*x + 4. Determine h so that 4/9*h - 2/9*h**n + 0 - 2/9*h**2 = 0.
-2, 0, 1
Suppose -3*v + 10 = -2. Let n(b) be the first derivative of -48*b**3 - 23*b**2 + 27*b**v - 11 + 24*b**2 + 29*b**2 - 8*b. Solve n(k) = 0 for k.
1/3, 2/3
Suppose 4*y - 5*w + 15 = 51, 0 = 3*y + 3*w. Let f(a) be the second derivative of a**2 + 0 - a + 1/12*a**y - 1/2*a**3. Determine j, given that f(j) = 0.
1, 2
Let z be (2/4)/((-2)/(-8)). Let p(t) be the first derivative of 0*t + 7 - 1/3*t**3 + 1/4*t**4 + 1/5*t**5 - 1/2*t**z. What is c in p(c) = 0?
-1, 0, 1
Let v(k) be the third derivative of -k**5/180 + k**4/6 + 5*k**3/2 - 228*k**2. Factor v(o).
-(o - 15)*(o + 3)/3
Suppose -5*m + 3*q - 7 = 0, 5*q - 17 - 7 = -4*m. Let x be (20 + -19)*(m/3 + 0). Factor 0*i**2 - 2/9 + 10/9*i**4 - 10/9*i**3 + 5/9*i - x*i**5.
-(i - 1)**4*(3*i + 2)/9
Let j(c) = -6*c**2 - 4*c. Let d be j(2). Let n = d - -35. Solve 5*p**2 - p**2 - 5*p**2 - 9*p + n*p**3 - 5*p**2 = 0 for p.
-1, 0, 3
Let z(y) be the third derivative of y**5/270 + 2*y**4/27 - 87*y**2. Find w, given that z(w) = 0.
-8, 0
Let c(d) = -9*d**2 + 33*d + 144. Let k(y) = 10*y**2 - 35*y - 146. Let n(j) = 7*c(j) + 6*k(j). Solve n(a) = 0.
-4, 11
Let p be 2/(50/(-55))*(-8)/4. Solve 38/15*x + p*x**3 + 20/3*x**2 + 4/15 = 0 for x.
-1, -1/3, -2/11
Let a = -191 - -191. Let s(m) be the first derivative of 0*m**3 - 2/35*m**5 + 3/14*m**4 + a*m - 1 - 4/7*m**2. Factor s(p).
-2*p*(p - 2)**2*(p + 1)/7
Determine m so that -25/3*m + 15/2 + 5/6*m**2 = 0.
1, 9
Suppose 4 = 2*y - 8. Let n = 34 + -47. Let f(t) = 3*t**2 - 12*t + 12. Let c(x) = 6*x**2 - 24*x + 24. Let a(p) = n*f(p) + y*c(p). Suppose a(w) = 0. Calculate w.
2
Let h(r) be the first derivative of -48*r + 7 - 28/3*r**3 - r**4 - 32*r**2. Suppose h(o) = 0. What is o?
-3, -2
Let r = 106 + -529/5. Suppose r - 1/5*o**2 + o**3 - o = 0. Calculate o.
-1, 1/5, 1
Let o be (-2 - 1)*(-5 - -4). Find m, given that 0 - 4*m**2 - 5*m**o + 6*m**3 + 4 - 3*m**3 + 2*m = 0.
-2, -1, 1
Determine u so that 0*u + 6 - 2/3*u**2 = 0.
-3, 3
Let r(k) = -k**3 + k + 1. Let v(u) = -4*u**3 + 26*u**2 + 4*u - 24. Let q(b) = 2*r(b) - v(b). Factor q(t).
2*(t - 13)*(t - 1)*(