*w**4 + 16/39*w**3 + 1/39*w**6. Factor j(f).
2*(f - 1)*(f + 2)**4/13
Let z(g) = -g**2 + 3*g - 1. Let i(v) be the third derivative of -v**5/10 - 131*v**4/24 - 889*v**3 - 144*v**2 - v. Let x(m) = -3*i(m) + 15*z(m). Factor x(l).
3*(l + 73)**2
Suppose 3*d = -5*z - 0*z + 1009, 2*z + d - 404 = 0. Let u = -203 + z. Factor u - 2/19*y**2 - 4/19*y.
-2*y*(y + 2)/19
Let d(t) = -16*t - 14. Let c be d(-1). Let p(g) be the first derivative of 0*g - 2/5*g**3 + 3/20*g**4 - 2 - 9/10*g**c. Let p(u) = 0. Calculate u.
-1, 0, 3
Find y, given that -24 + 203 + y**2 + 192 + 31 + 135*y + 122 = 0.
-131, -4
Let a(p) = 11*p**2 - 24*p + 29. Let s = 3 - -1. Suppose -s = -l + 3. Let c(g) = -6*g**2 + 12*g - 14. Let k(f) = l*c(f) + 4*a(f). Factor k(d).
2*(d - 3)**2
Let u(q) be the first derivative of q**5/4 + 23*q**4/4 + 9*q**3/2 - q**2 + 4*q - 19. Let a(s) be the second derivative of u(s). Factor a(n).
3*(n + 9)*(5*n + 1)
Let l(t) be the third derivative of 3*t**2 + 0*t**6 + 0 - 1/630*t**7 + 0*t**4 + 0*t**3 + 27*t + 0*t**5. Factor l(f).
-f**4/3
Let r(x) = 2*x + 46. Suppose -4*k - 2*k - 138 = 0. Let c be r(k). Factor -4*f**3 + 2 - 10*f**4 + c*f**2 + 26*f**4 + 2*f**5 + 2*f - 4*f**2 - 14*f**4.
2*(f - 1)**2*(f + 1)**3
Let k(j) be the first derivative of -70 - 33/4*j - 93/4*j**3 + 27/16*j**4 - 195/8*j**2. Factor k(n).
3*(n - 11)*(3*n + 1)**2/4
Let r(u) be the second derivative of 0 + 24*u**3 - 27*u**2 - 56*u + 35/8*u**4 + 9/40*u**5. Factor r(l).
3*(l + 6)**2*(3*l - 1)/2
Let k(n) be the first derivative of 0*n**2 + 0*n - 53 + 1/12*n**4 + 0*n**3. Factor k(m).
m**3/3
Suppose 17 + 93 = -11*c. Let t be 110/8*(-40)/c. Factor -11*r - 20*r**2 + 0*r**4 + r**4 - 14*r - 11*r**3 + t*r**2.
r*(r - 5)**2*(r - 1)
Factor 40*f + 32/3*f**2 + 2/3*f**3 + 0.
2*f*(f + 6)*(f + 10)/3
Let f(k) be the third derivative of 2 + 0*k - 1/15*k**6 - 150*k**2 + 13/6*k**4 + 23/15*k**5 - 8*k**3. Suppose f(p) = 0. Calculate p.
-1, 1/2, 12
Let a be 1704/60 - 18/(-30). Suppose 16*o - 19 - a = 0. Factor 0 + 4/11*t**4 + 18/11*t**o + 8/11*t + 24/11*t**2.
2*t*(t + 2)**2*(2*t + 1)/11
Let g(p) = -2*p**2 + 8*p + 10. Let v(o) be the first derivative of 1/2*o**2 + o + 14. Let r(z) = 2*g(z) - 28*v(z). Factor r(a).
-4*(a + 1)*(a + 2)
Suppose -6*c + 4 = -20. Suppose 3 = -c*r + 87. Factor r*q - 45*q**2 + 9*q**4 + 16*q**4 + 39*q**3 - 3 - 50*q**4 + 13*q**4.
-3*(q - 1)**3*(4*q - 1)
Suppose 2*x + 30 = 4*i + 4*x, i + 2*x - 12 = 0. Let w be 110/16 - 3/(-24). Factor 5*c**3 + 3*c**4 + i - 9*c**2 + w*c - 4*c**4 - 8.
-(c - 2)*(c - 1)**3
Let s = 3021 - 27185/9. Let q(y) be the first derivative of -s*y**3 - 4/3*y**2 + 0*y - 11. Factor q(x).
-4*x*(x + 2)/3
Factor -111/4*a**2 + 0 - 153/2*a - 3/4*a**3.
-3*a*(a + 3)*(a + 34)/4
Factor -198*g + 30*g - 1103*g**2 + 1100*g**2.
-3*g*(g + 56)
Suppose -2*p - 1193 = 5*s, 6*p - 3*p = 5*s - 1777. Let b = -4154/7 - p. Determine l, given that b*l + 0 + 4/7*l**3 - 8/7*l**2 = 0.
0, 1
Factor -1142*o**3 + 1148*o**3 + 82*o**2 + 36*o**2 + 736*o + 1408.
2*(o + 8)**2*(3*o + 11)
Let z be (-6)/(-7)*42/9. Suppose 4*u = z + 4. What is b in -12*b**u + 6*b + 3*b**4 + b**4 + 2*b = 0?
-2, 0, 1
Let r(t) be the first derivative of -7*t**3/5 - 241*t**2/5 + 23*t/5 + 2599. Let r(x) = 0. What is x?
-23, 1/21
Let g = -8825/2 - -4413. Determine d, given that -g*d**2 - 3/2*d + 2 = 0.
-4, 1
Determine a, given that 194/15*a - 104/15*a**4 - 64/5*a**3 - 20 - 2/15*a**5 + 404/15*a**2 = 0.
-50, -3, -1, 1
Suppose -5*a = 4*k + 1352, -4*k - 1352 = -a - a. Let x = -234 - k. Suppose 24*r**2 - x*r - 154*r**3 + 40*r**2 + 98*r**4 + 96*r = 0. Calculate r.
0, 2/7, 1
Let a(j) be the first derivative of -j**4/8 + 2*j**3 + 16*j**2 - 945. Suppose a(u) = 0. Calculate u.
-4, 0, 16
Let w(c) be the first derivative of c**5/2 + 3775*c**4/8 + 3765*c**3/2 + 11285*c**2/4 + 1880*c - 7723. Factor w(s).
5*(s + 1)**3*(s + 752)/2
Factor -2121*g - 849 + 15/4*g**2.
3*(g - 566)*(5*g + 2)/4
Let y(m) be the second derivative of -m**6/30 + 27*m**5/10 - 26*m**4/3 + 6856*m. Determine w, given that y(w) = 0.
0, 2, 52
Let t(y) be the first derivative of y**5/20 + y**4/4 - 15*y**3/4 - 1252. Factor t(w).
w**2*(w - 5)*(w + 9)/4
Let l be (105/(-25) + 4)/(-6*(-1)/(-10)). Let y(q) be the first derivative of 0*q - 1/5*q**5 + 27 + 1/2*q**2 + l*q**3 - 1/4*q**4. Factor y(n).
-n*(n - 1)*(n + 1)**2
Let -2/3*a**3 - 10/3*a**2 + 2/3*a + 10/3 = 0. What is a?
-5, -1, 1
Factor 0 + 9/2*n**3 - 9*n - 3/4*n**4 - 15/4*n**2.
-3*n*(n - 4)*(n - 3)*(n + 1)/4
Let h be 336/18 + (-2)/3. Suppose 0 = -3*s - v + 48, -h + 84 = 3*s - 5*v. Factor -33*u**2 - 28*u + 3*u - 30 + s*u**2 + 21*u**2.
5*(u - 6)*(u + 1)
Let r(t) be the second derivative of -t**7/147 + 389*t**6/105 - 387*t**5/70 - 389*t**4/42 + 388*t**3/21 - 369*t. Determine d, given that r(d) = 0.
-1, 0, 1, 388
Let a(t) be the third derivative of -29*t**2 - 1/36*t**4 + 1/180*t**6 + 0*t**3 + 1/180*t**5 - 1/630*t**7 + 0*t + 0. Find l such that a(l) = 0.
-1, 0, 1, 2
Let q be (-468)/(-546)*((-116)/(-6) - 3). Let r(c) be the third derivative of -1/56*c**4 + q*c**2 + 0 + 0*c**3 + 0*c - 1/140*c**5. Factor r(t).
-3*t*(t + 1)/7
Let w(l) = -4 + 3*l**5 + 3 + 10*l**4 + l**2 - 4*l**5 - 9*l**4. Let x(r) = 2*r**5 - 4*r**4 + 2*r**3 + r**2 - 3*r + 2. Let j(o) = -w(o) - x(o). Factor j(g).
-(g - 1)**4*(g + 1)
Let f(z) = 123*z**2 - 13*z + 39. Let c be f(11). Factor -d**3 + c*d + 12*d**2 - 7395*d - 7404*d.
-d*(d - 10)*(d - 2)
Let r(q) be the third derivative of q**5/40 + 113*q**4/16 + 111*q**3/2 + q**2 - 954*q. Find a, given that r(a) = 0.
-111, -2
Let d(k) = -559*k + 2798. Let n be d(5). Factor 52/7*c**2 - 9/7*c**n + 0 + 12/7*c.
-c*(c - 6)*(9*c + 2)/7
Let o(k) be the second derivative of -2/21*k**4 - 1/70*k**5 + 0 + 13*k + 6/7*k**2 - 1/21*k**3. Factor o(q).
-2*(q - 1)*(q + 2)*(q + 3)/7
Suppose 0*a + 2*a = -m + 4, 2*m + 6 = 3*a. Suppose 473*c**a + 3 + 478*c**2 - 954*c**2 - 3 - 48*c = 0. What is c?
-16, 0
Factor 40*g**2 + 7099*g**3 - 7092*g**3 - 52*g**2 - g**4.
-g**2*(g - 4)*(g - 3)
Let u(x) be the third derivative of x**7/525 - x**6/12 - 193*x**5/150 + 217*x**4/60 - 49*x**2 + 5. Factor u(y).
2*y*(y - 31)*(y - 1)*(y + 7)/5
Let z = 6620 - 6614. Let m(l) be the first derivative of -10 + 1/27*l**z - 4/27*l**3 + 0*l**4 + 4/45*l**5 + 0*l - 1/9*l**2. Find a, given that m(a) = 0.
-1, 0, 1
Let o(q) be the third derivative of 7*q**7/24 + 427*q**6/96 - 125*q**5/48 + 15*q**4/32 - 1328*q**2. Find t, given that o(t) = 0.
-9, 0, 1/7
Let u be 4 + -1 - 42*1902/(-156). Let r = u - 514. Factor -4*z + r*z**2 - 16/13.
2*(z - 4)*(7*z + 2)/13
Let h(d) be the third derivative of d**7/504 + 5*d**6/144 + d**5/4 - d**4/3 + 30*d**2. Let y(z) be the second derivative of h(z). Factor y(u).
5*(u + 2)*(u + 3)
Let l(i) be the first derivative of -5*i**3/3 - 155*i**2/2 + 700*i - 4140. Solve l(y) = 0.
-35, 4
Suppose -156*c + 157*c - 1 = 0, -3*o = -5*c - 1. Let s(l) be the first derivative of l**3 + 10 - 1/5*l**5 + 1/4*l**4 - 1/2*l**o - 2*l. Factor s(v).
-(v - 2)*(v - 1)*(v + 1)**2
Let w(k) = -13*k**2 + 492*k - 10079. Let b = -321 - -323. Let v(q) = -4*q**2 + 164*q - 3360. Let m(a) = b*w(a) - 7*v(a). Factor m(p).
2*(p - 41)**2
Let c(b) = -b**2 + 7*b - 4. Let u(n) be the second derivative of -5*n**4/12 + 6*n**3 - 19*n**2/2 + n + 31. Let k(z) = 11*c(z) - 2*u(z). What is i in k(i) = 0?
2, 3
Let f be -68*2/24 - 3364/(-60). Factor f*c - 2/5*c**2 - 7938/5.
-2*(c - 63)**2/5
Let r be (40 - -9)/(4/8). Let r*j + 56*j**2 - 8*j**3 - 6*j**4 - 200*j + 70*j = 0. What is j?
-4, 0, 2/3, 2
Determine h so that 5800*h**2 - 1125 + 59*h**5 + 4160*h**3 - 2960*h - 75 + 46*h**5 - 3295*h**4 = 0.
-1, -2/7, 2/3, 2, 30
Let w be 2*-1*-6*(-6)/(-24). Let p = w - 3. Factor -5*r**3 - 27 + 6*r**3 + 23*r**3 + p*r**4 + 72*r - 66*r**2 - 3*r**4.
-3*(r - 3)**2*(r - 1)**2
Let d(i) be the second derivative of 5*i**4/9 - 8185*i**3/18 - 1025*i**2 - 3*i + 1171. Find r such that d(r) = 0.
-3/4, 410
Let u = 15700/7 + -47065/21. Let u*f**3 + 0*f**4 + 0*f**2 + 0 - 1/3*f**5 - 4/3*f = 0. Calculate f.
-2, -1, 0, 1, 2
Let u(j) be the second derivative of 5*j**6/72 - 11*j**5/24 + 5*j**4/12 - 4*j**3/3 + 3*j**2 + j - 13. Let l(p) be the second derivative of u(p). Factor l(x).
5*(x - 2)*(5*x - 1)
Let t(k) be the third derivative of -k**7/210 - 49*k**6/120 - 31*k**5/4 + 1107*k**4/8 - 729*k**3 - 641*k**2. Let t(a) = 0. Calculate a.
-27, 2, 3
Let m(z) be the second d