ve of 2*j**3/9 - 278*j**2/3 + 38642*j/3 + 694. Factor s(l).
2*(l - 139)**2/3
Let m = 19 + -8. Let p = -14 + 16. Factor -11 - y + 9 + m + 7*y + y**p.
(y + 3)**2
Factor 0*h - 4/5*h**5 + 16/5*h**4 + 8/5*h**2 + 0 - 4*h**3.
-4*h**2*(h - 2)*(h - 1)**2/5
Factor 47 + 25 + 18 - 15*l**3 + 18 + 205*l**2 + 12 - 310*l.
-5*(l - 12)*(l - 1)*(3*l - 2)
Suppose -5*j - 2*w - 10331 = -10357, 5*w - 50 = -5*j. Factor 1/3*m**4 + 1/3*m + 2/3 - 1/3*m**3 - m**j.
(m - 2)*(m - 1)*(m + 1)**2/3
Let b(p) be the third derivative of -p**7/3780 - p**6/810 - p**5/540 + p**3 + 50*p**2. Let h(j) be the first derivative of b(j). Factor h(c).
-2*c*(c + 1)**2/9
Let a(d) be the third derivative of -d**5/30 + d**4/6 + d**3 - 36*d**2 + d. Factor a(f).
-2*(f - 3)*(f + 1)
Let m(f) = 2*f - 40 + 30 - f. Let n be m(13). Factor 5*c - 3*c**4 - n*c - 2*c + 6*c**3.
-3*c**3*(c - 2)
Suppose 3*l = 2*l + 5. Suppose -3*w + l*z = -1, -3*w - 5*z + 8 = -3. Solve -24/5*h**3 + 2/5*h**4 - 216/5*h + 162/5 + 108/5*h**w = 0.
3
Let p(v) be the second derivative of 1/2*v**2 + 0 + 1/3*v**3 + 1/12*v**4 + 14*v. Find q such that p(q) = 0.
-1
Let s = 31549/3 + -10495. Suppose 112/3*l - 1/3*l**4 - 20*l**2 + 13/3*l**3 - s = 0. What is l?
1, 4
Let k(h) be the third derivative of h**7/630 - h**6/90 + h**5/36 - h**4/36 - 5*h**2 + 14. Find t such that k(t) = 0.
0, 1, 2
Let q be ((-78)/27 - -3)*5/100. Let k(u) be the third derivative of -3*u**2 + 0*u - 1/72*u**4 - q*u**5 + 1/360*u**6 + 0 + 1/18*u**3. Factor k(a).
(a - 1)**2*(a + 1)/3
Let f(d) be the first derivative of 5*d**4/4 + 5*d**3/3 - 105*d**2/2 - 225*d - 103. Factor f(c).
5*(c - 5)*(c + 3)**2
Factor -507/2*x - 3/4*x**4 + 0 - 351/4*x**2 + 18*x**3.
-3*x*(x - 13)**2*(x + 2)/4
Let d(j) be the second derivative of 0*j**2 + 1/4*j**3 - 3/40*j**5 + 18*j + 0*j**4 + 0. Factor d(b).
-3*b*(b - 1)*(b + 1)/2
Let f(p) be the second derivative of p**4 - p**3/3 - 5*p**2 - p. Let u(c) = 68 + 0*c**2 - 67 - c**2. Let g(r) = f(r) + 10*u(r). Factor g(b).
2*b*(b - 1)
Let t(c) be the first derivative of c**4/12 + 22*c**3/9 + 12*c**2 + 397. Factor t(u).
u*(u + 4)*(u + 18)/3
Suppose b = -5*i - 3, 3*i = 5*b - 0*i - 13. Factor -94*z**3 - 36*z**b - 14*z**3 - 31*z + 28*z.
-3*z*(6*z + 1)**2
Let m be (9 + (-12 - -2))/(-4). Solve -m*z + 1/4*z**2 - 1/2 = 0 for z.
-1, 2
Let r(z) = -z**3 - 14*z**2 - 12*z + 13. Let l be r(-13). Suppose -w = -l*w. Solve 4/9*i**2 + 0 - 4/9*i**4 - 2/9*i + w*i**3 + 2/9*i**5 = 0.
-1, 0, 1
Let v(b) be the third derivative of b**9/30240 + b**8/8064 + b**7/10080 + 7*b**5/10 - 23*b**2. Let o(u) be the third derivative of v(u). Factor o(q).
q*(q + 1)*(4*q + 1)/2
Let w be (6*((-70)/(-14) + 20/8))/2. Factor -3/2*g**3 + w*g**2 - 225/2*g + 375/2.
-3*(g - 5)**3/2
Let i(u) be the second derivative of 11*u - 1/30*u**4 - 3/5*u**2 + 0 - 4/15*u**3. Determine m so that i(m) = 0.
-3, -1
Let h(j) be the first derivative of -3*j**5/20 + j**4/2 + 3*j**3/2 - 23*j - 31. Let n(u) be the first derivative of h(u). Factor n(k).
-3*k*(k - 3)*(k + 1)
Let y(b) be the first derivative of -b**4/8 - b**3/3 + 162. Factor y(t).
-t**2*(t + 2)/2
Let c = 486 + -486. Determine j so that -2/3*j**2 + c - 14/15*j**3 - 2/15*j - 2/5*j**4 = 0.
-1, -1/3, 0
Let k = 2308 - 2303. Factor 0*v - 2/5*v**4 + 0 + 2/5*v**k - 2/5*v**3 + 2/5*v**2.
2*v**2*(v - 1)**2*(v + 1)/5
Suppose 5*g = 875 - 875. Factor 1/2*h**3 - h + g - 1/2*h**2.
h*(h - 2)*(h + 1)/2
Let l be (-320)/(-2 + -2)*1. Solve -2 - 14*c**2 + 72*c + 8 - l*c = 0 for c.
-1, 3/7
Let a(r) be the first derivative of 1/10*r**5 + 0*r + r**2 + 5/8*r**4 + 4/3*r**3 - 3. Factor a(x).
x*(x + 1)*(x + 2)**2/2
Factor -3/5*o**3 + 6*o**2 + 159/5*o + 126/5.
-3*(o - 14)*(o + 1)*(o + 3)/5
Let x(n) = -n**2 + 17*n - 58. Let a be x(12). Factor -2*b**2 - 6 - 6*b - a*b + 11 + 5.
-2*(b - 1)*(b + 5)
Factor -2*f**2 - 2/3*f**3 + 0 + 0*f.
-2*f**2*(f + 3)/3
Let f be 9/2 + 17/(-34). Let 8 + 0*w**2 - 24 - 12*w + f*w**2 = 0. What is w?
-1, 4
Let f be 2/4*(-4)/8*8. Let g be (f + 1)*(-72)/16. Factor -3*j + 3/2*j**2 - g.
3*(j - 3)*(j + 1)/2
Let l be (15/6)/((-345)/(-92)). Factor 0 + 2/15*o**3 + 8/15*o - l*o**2.
2*o*(o - 4)*(o - 1)/15
Let b(x) be the second derivative of -x**6/15 + 4*x**5/5 - 11*x**4/3 + 8*x**3 - 9*x**2 - 77*x + 2. Find h, given that b(h) = 0.
1, 3
Let d(h) be the second derivative of 49/20*h**5 + 12*h**2 + 161/6*h**4 - 34*h + 0 + 86/3*h**3. Factor d(o).
(o + 6)*(7*o + 2)**2
Let c(s) be the first derivative of s**5 + 95*s**4 + 7940*s**3/3 + 13680*s**2 + 25920*s + 484. Solve c(o) = 0 for o.
-36, -2
Suppose 42 = -2*m + 16*m. Let z(q) be the first derivative of -1/10*q**2 - 4/15*q**m - 3/20*q**4 - 2 + 0*q. Factor z(f).
-f*(f + 1)*(3*f + 1)/5
Let y be (-4)/38 + (-1870)/285 + 7. Let i(x) be the first derivative of -y*x**6 + 0*x**4 + 4/5*x**5 - 1 + 0*x**2 + 0*x + 0*x**3. Solve i(z) = 0.
0, 2
Suppose 0*h + 2*h = 5*c - 4, -2*c - h + 7 = 0. Factor 50*x - 41*x**2 + x**4 - 45*x**2 + 26*x**2 + 125 + 14*x**3 - c*x**4.
-(x - 5)**3*(x + 1)
Let b = -10 + 15. What is a in -2 + b*a**2 + 6 - 3*a**2 + 6*a = 0?
-2, -1
Suppose l - 5*l = 20. Let f(v) = -v**3 + 5*v**2 - 8*v - 9. Let s(d) = 5*d**2 - 3 - 7*d - 5 - 1 - d**3. Let a(b) = l*s(b) + 4*f(b). Factor a(x).
(x - 3)**2*(x + 1)
Let v(f) = f**3 + 11*f**2 + 18*f + 19. Let o be v(-9). Let l = -19 + o. Factor d + 3/2*d**2 + l + 1/2*d**3.
d*(d + 1)*(d + 2)/2
Let r(b) be the first derivative of 1/6*b**5 - 1/9*b**4 + 0*b**3 - 1 + 0*b**2 + b. Let o(f) be the first derivative of r(f). Suppose o(y) = 0. What is y?
0, 2/5
Suppose 48/5 + 172/5*i + 14/5*i**2 = 0. What is i?
-12, -2/7
Let z(l) be the third derivative of l**8/20160 - l**6/720 + l**5/12 - 11*l**2. Let n(a) be the third derivative of z(a). Suppose n(c) = 0. Calculate c.
-1, 1
Let a(o) be the first derivative of -o**7/1960 + o**6/840 + o**5/35 - 3*o**4/14 - 40*o**3/3 - 44. Let u(h) be the third derivative of a(h). Solve u(y) = 0.
-3, 2
Let h(n) be the first derivative of 1/25*n**5 + 1/15*n**3 - 1/10*n**4 + 0*n**2 + 0*n - 5. Suppose h(i) = 0. What is i?
0, 1
Let g be 4/10 - ((-336)/240)/((-21)/6). Find i such that -9/2*i - 3*i**2 - 1/2*i**3 + g = 0.
-3, 0
Let b(p) be the second derivative of -10/3*p**3 - 29*p - 20/3*p**4 + 0*p**2 + 0 - 7/4*p**5. Find t, given that b(t) = 0.
-2, -2/7, 0
Let m be ((-25)/((-19000)/(-48)))/(28/20 - 2). Factor 0 + 0*v**2 - m*v + 2/19*v**3.
2*v*(v - 1)*(v + 1)/19
Let w(t) be the second derivative of 0*t**2 + 0*t**3 + 1/20*t**5 - 14*t + 0 + 0*t**4. Factor w(h).
h**3
Let p(d) be the first derivative of -17*d**5 - 135*d**4/2 - 100*d**3 - 65*d**2 - 15*d + 509. Factor p(h).
-5*(h + 1)**3*(17*h + 3)
Factor -10/7*p**3 + 10/7*p + 2/7*p**4 - 8/7 + 6/7*p**2.
2*(p - 4)*(p - 1)**2*(p + 1)/7
Let h(y) = -y**3 + 12*y**2 + 2. Let x be (4 - 0/(-2)) + 8. Let j be h(x). Factor -1 + 0*i**2 - i + i**2 + 0*i**j + i**3 + 0.
(i - 1)*(i + 1)**2
Determine z so that -11/4*z**3 - 9/4*z + 0 + 19/4*z**2 + 1/4*z**4 = 0.
0, 1, 9
Let j(c) be the second derivative of -2*c**6/105 - c**5/5 + 10*c**4/21 + 152*c**3/21 - 240*c**2/7 - 255*c - 1. Find i, given that j(i) = 0.
-6, -5, 2
Let f(l) be the second derivative of l**5/120 + 5*l**4/36 - 23*l**3/36 + l**2 + 45*l. Factor f(j).
(j - 1)**2*(j + 12)/6
Let l(y) = -y + 9. Let g be l(7). Determine x so that -4*x + 3 - 4 + 5 + 4 - 4*x**g = 0.
-2, 1
Let d(j) be the third derivative of 0*j - 26*j**2 - 19/120*j**4 - 3/200*j**6 + 1/10*j**3 + 0 + 11/100*j**5. Determine c, given that d(c) = 0.
1/3, 3
Let j(g) be the third derivative of 2*g**6/105 - g**5/35 - 3*g**4/14 - 4*g**3/21 - 25*g**2. Let j(a) = 0. Calculate a.
-1, -1/4, 2
Let j be 3/(-16) - 1785/(-560). Factor j*p**2 + 0*p + 1/2*p**5 + 4*p**4 + 13/2*p**3 + 0.
p**2*(p + 1)**2*(p + 6)/2
Let p(z) be the first derivative of 0*z + 2/15*z**5 - 2/3*z**3 + 2/3*z**2 - 9 + 0*z**4. Determine h so that p(h) = 0.
-2, 0, 1
Let y(i) be the second derivative of 0 - 7/18*i**4 + 2/9*i**3 + 0*i**2 + 1/6*i**5 - i. Suppose y(p) = 0. What is p?
0, 2/5, 1
Let u be (99/44 - -4) + (-6)/1. Let t(b) be the third derivative of -b**2 + 0 + 0*b + u*b**5 + 1/70*b**7 - 1/10*b**6 - 1/4*b**4 + 0*b**3. Factor t(w).
3*w*(w - 2)*(w - 1)**2
Suppose 0 = -7*r - 203 + 231. Find f such that 20*f**r - 15/2*f**5 - 20*f**2 + 10*f + 0 - 5/2*f**3 = 0.
-1, 0, 2/3, 1, 2
Let a be (-2)/((-12)/(-1)) - (-4)/24. Suppose -8*h + 9*h - 2 = a. What is c in 2*c - h - 1/2*c**2 =