5*x(m). Factor r(n).
4*n*(n - 1)
Let l(g) = -3*g**3 - 4*g**2 - 4*g - 3. Let h be l(-2). Let f = -10 + h. Find d such that -8 - 19 - 2*d**4 - 48*d**2 - 5 - 64*d - 16*d**f = 0.
-2
Suppose 4*s = 4*j + s - 49, -5*j + 4*s + 62 = 0. Suppose 240 = -6*x + j*x. Solve f**3 + f**3 + 3*f**3 - x*f - 13*f**2 + 54*f = 0.
-2/5, 0, 3
Let u(v) = 140*v**3 - 80*v**2 - 52*v + 24. Let s(h) = 41*h**3 - 23*h**2 - 15*h + 7. Let i(a) = -24*s(a) + 7*u(a). Factor i(d).
-4*d*(d + 1)**2
Suppose -7*u + 2345 = 2254. Let b(a) be the second derivative of -u*a - 1/2*a**3 - 1/2*a**2 + 7/80*a**5 + 3/16*a**4 + 0. What is v in b(v) = 0?
-2, -2/7, 1
Let c = 3/2 - 1. Let z be -4 - (-3 + (-6 - -1)). Factor 0 + 0*b + 1/2*b**z - 1/2*b**5 + 1/2*b**3 - c*b**2.
-b**2*(b - 1)**2*(b + 1)/2
Let d = 257/20820 + 3/694. Let l(o) be the third derivative of 0*o + 1/3*o**4 + d*o**6 + 0*o**3 + o**2 + 0 - 2/15*o**5. Suppose l(z) = 0. What is z?
0, 2
Let r be (75/9)/(450/108). Factor 0*p**3 + 0*p + p**r - 1/2 - 1/2*p**4.
-(p - 1)**2*(p + 1)**2/2
Factor 18*h**3 + 648*h - 3/4*h**4 - 162*h**2 - 972.
-3*(h - 6)**4/4
Let o(a) be the third derivative of -a**6/300 + 41*a**5/25 - 1681*a**4/5 + 551368*a**3/15 + 493*a**2. Factor o(n).
-2*(n - 82)**3/5
Let u(a) be the third derivative of a**6/20 - 29*a**5/40 + 7*a**4/16 - 93*a**2. Find y such that u(y) = 0.
0, 1/4, 7
Let q(b) = -b**4 + b**3 - b**2 - b + 1. Let r(u) = u**5 + 12*u**4 + 18*u**3 + 32*u**2 + 21*u. Let c(h) = 20*q(h) + 5*r(h). Suppose c(z) = 0. What is z?
-4, -1
Let l(d) = -2*d**3 - 38*d**2 - 36*d. Let o be l(-18). Find w, given that 4/5*w**3 - 4/5*w**5 - 4/5*w**4 + o + 0*w + 4/5*w**2 = 0.
-1, 0, 1
Let m be (1/(-2))/(-2 + 14/8). Let f be (-120)/(-100)*m/6. Factor 0 + 2/5*x + 2/5*x**4 - f*x**2 - 2/5*x**3.
2*x*(x - 1)**2*(x + 1)/5
Let u(k) = -15*k**2 + 295*k. Let y(l) = 2*l**2 - 37*l. Let w(n) = 3*u(n) + 25*y(n). Find t, given that w(t) = 0.
0, 8
Let i = 1486 - 1482. Let 32/3 - 80/3*j - 28/3*j**3 + 24*j**2 + 4/3*j**i = 0. Calculate j.
1, 2
Let x(v) be the second derivative of 1/80*v**5 - 7/2*v**2 + 0*v**3 + 2*v + 1/32*v**4 + 0. Let k(y) be the first derivative of x(y). Factor k(g).
3*g*(g + 1)/4
Let d be (-2)/(-14)*-19 - (20 - 23). Suppose -1 = 3*w - 7. What is p in d*p**w + 0*p + 0 = 0?
0
Factor -66*n - 128*n**2 - 58*n + 13686*n**3 - 13690*n**3.
-4*n*(n + 1)*(n + 31)
Factor 40 - 78 - s**2 + 3*s - 62 - 23*s.
-(s + 10)**2
Let k(l) be the first derivative of l**7/5880 + l**6/630 + l**5/210 + 38*l**3/3 - 26. Let p(d) be the third derivative of k(d). Factor p(b).
b*(b + 2)**2/7
Let v(p) = p**2 - 6*p - 4. Let w(o) = o**2 - 2. Let n be w(3). Let k be v(n). Factor 12*i**4 + i**k + 10*i**4 + i**3 - 24*i**4.
-2*i**3*(i - 1)
Let m(c) = 2*c**4 - 7*c**3 - c**2. Let h(a) = 7*a**4 + 25*a**3 + 196*a**2 + 138*a. Let n(s) = h(s) - 5*m(s). Factor n(y).
-3*y*(y - 23)*(y + 1)*(y + 2)
Let b(t) be the third derivative of 11*t**7/315 + 5*t**6/36 + 17*t**5/90 + t**4/12 - 12*t**2 - 16*t. What is i in b(i) = 0?
-1, -3/11, 0
Suppose 207*a = 203*a. Let f(o) be the third derivative of 0 - 1/30*o**5 + 0*o + 12*o**2 + 0*o**4 + a*o**3. Factor f(s).
-2*s**2
Let i(w) be the second derivative of w**7/840 + w**6/180 + w**5/120 + 7*w**3/2 - 11*w. Let q(n) be the second derivative of i(n). Factor q(j).
j*(j + 1)**2
Let j be 9/(-2)*4/(-3). Let t(c) be the first derivative of 1/10*c**4 + 0*c - 1/15*c**j + 0*c**3 + 0*c**2 - 5 + 0*c**5. Suppose t(b) = 0. Calculate b.
-1, 0, 1
Let r(p) be the third derivative of -p**5/72 + 5*p**4/18 + 2*p**2 + 106. Determine l so that r(l) = 0.
0, 8
Suppose 5*c = -3*p + 5596, 5*c + 8 = 3*c. Let a be 3/(-8) + 1534/p. Solve a - 2/3*l + 2/9*l**3 + 0*l**2 = 0.
-2, 1
Find d, given that -3/5 - 12/5*d**2 - 3*d = 0.
-1, -1/4
Let p(d) be the first derivative of -d**5 + 25*d**4/4 + 5*d**3 - 85*d**2/2 + 50*d - 45. Factor p(o).
-5*(o - 5)*(o - 1)**2*(o + 2)
Let r(w) be the third derivative of -9*w**8/112 + 39*w**7/14 - 155*w**6/8 + 213*w**5/4 - 60*w**4 + 34*w**3 - 111*w**2. Determine z, given that r(z) = 0.
1/3, 2, 17
Find d, given that 62250/7*d + 999/7*d**2 - 15625/7 + 4/7*d**3 = 0.
-125, 1/4
Let k(n) be the third derivative of 2/39*n**4 - 1/39*n**3 + 4*n**2 + 0*n + 0 - 7/390*n**5. Factor k(h).
-2*(h - 1)*(7*h - 1)/13
Let k = -3644 + 3646. Solve -2/19*d**k + 0 + 2/19*d**4 + 2/19*d - 2/19*d**3 = 0.
-1, 0, 1
Let p(o) = -o**2 - 2*o + 10. Let s be p(0). Factor 25 + s*k**2 - 86 + 36 - 45*k.
5*(k - 5)*(2*k + 1)
Let y(w) = -w + 28. Let m be y(26). Let u(n) be the first derivative of 1/6*n**4 + 4/3*n - n**2 - m + 0*n**3. Determine r so that u(r) = 0.
-2, 1
Let k(a) be the first derivative of 24389*a**4/2 + 1682*a**3 + 87*a**2 + 2*a - 33. Let k(c) = 0. Calculate c.
-1/29
Let n(r) be the first derivative of r**4 - 44*r**3/3 + 20*r**2 + 109. Factor n(j).
4*j*(j - 10)*(j - 1)
Suppose 4*f + 7*f + 18*f**2 - 7*f - 4*f**3 + 32*f**2 - 6*f**2 - 44 = 0. Calculate f.
-1, 1, 11
Let 5 - 118*k**2 + 3*k**3 - 11 + 6 + 580*k**2 + 17787*k = 0. Calculate k.
-77, 0
Let n(q) be the second derivative of -16*q + 0 - 1/3*q**3 - 1/2*q**2 - 1/5*q**5 + 7/12*q**4. Factor n(c).
-(c - 1)**2*(4*c + 1)
Let m(n) be the second derivative of -3*n**5/140 + 23*n**4/84 + 5*n**3/6 + 9*n**2/14 + n - 9. Factor m(c).
-(c - 9)*(c + 1)*(3*c + 1)/7
Let s be (2 - (-3)/(-2))*(-21 - -23). Let v(a) be the first derivative of 2/3*a**3 + a - 2*a**2 - 3/5*a**5 + s + a**4. Factor v(k).
-(k - 1)**2*(k + 1)*(3*k - 1)
Let c(v) be the second derivative of -v**9/7560 - v**8/3360 + v**7/1260 + v**6/360 - 7*v**4/6 - 7*v. Let b(g) be the third derivative of c(g). Factor b(m).
-2*m*(m - 1)*(m + 1)**2
Find p, given that 2/5*p - 8/5*p**2 + 0 = 0.
0, 1/4
Let n(j) be the third derivative of j**8/8064 - j**7/2016 - j**6/144 + 17*j**5/60 - 17*j**2. Let i(x) be the third derivative of n(x). Factor i(h).
5*(h - 2)*(h + 1)/2
Let s(z) be the second derivative of 2*z**6/15 - 2*z**5/5 - z**4/3 + 4*z**3/3 + 41*z - 2. What is a in s(a) = 0?
-1, 0, 1, 2
Let m(v) be the third derivative of v**8/168 + 34*v**7/105 + 24*v**6/5 - 17*v**5/15 - 289*v**4/12 - v**2 - 104. Determine t, given that m(t) = 0.
-17, -1, 0, 1
Let c(s) = 3*s**2 - s + 21. Let o be c(0). Let y = -19 + o. Factor 0*h + 0 + 2/11*h**3 - 4/11*h**y.
2*h**2*(h - 2)/11
Suppose 2*h - 7/3*h**2 + 2/3*h**5 + 0 - 4*h**3 + h**4 = 0. What is h?
-3, -1, 0, 1/2, 2
Let i(a) be the first derivative of a**9/3024 + a**8/840 + a**7/840 + 16*a**3/3 + 6. Let j(l) be the third derivative of i(l). Factor j(n).
n**3*(n + 1)**2
Let q(c) = 37*c + 3 + 7 + 32*c - 73*c. Let l(a) = a**2 - 5*a + 9. Let g(d) = -6*l(d) + 5*q(d). Let g(v) = 0. Calculate v.
2/3, 1
Factor -2/5*p**3 + 0*p**2 + 0*p**4 + 1/5*p**5 + 0 + 1/5*p.
p*(p - 1)**2*(p + 1)**2/5
Let u = -23281/13 + 1791. Determine z so that -2/13*z**4 + 2/13*z + 2/13*z**2 + 0 - u*z**3 = 0.
-1, 0, 1
Let m(t) be the first derivative of -2*t**4/3 + 22*t**3/9 - 10*t**2/3 + 2*t - 270. Solve m(x) = 0.
3/4, 1
Let k = 5899 - 58989/10. Factor 0*a + 1/10*a**5 - 1/5*a**3 + 0 + 0*a**2 + k*a**4.
a**3*(a - 1)*(a + 2)/10
Let y be 4/16 + 14/8. Let q(a) = -a**2 - 5*a + 18. Let t be q(-7). Let 3/5*m**3 + 9/5*m**y - 3*m - 3/5*m**t + 6/5 = 0. What is m?
-2, 1
Let q(s) be the first derivative of s**4/4 - 27*s**2/2 - 32*s + 19. Let h(r) be the first derivative of q(r). Factor h(p).
3*(p - 3)*(p + 3)
Let f(i) be the third derivative of i**9/3024 + i**8/840 + i**7/840 + 35*i**3/6 - 26*i**2. Let m(v) be the first derivative of f(v). Let m(s) = 0. What is s?
-1, 0
Let c(o) be the first derivative of 0*o + 22 + o**2 + 15/2*o**4 - 26/5*o**5 - 14/3*o**3 + 4/3*o**6. Find a, given that c(a) = 0.
0, 1/4, 1
Suppose -2*k = -3*v + 2*v - 5, 3*k - 5*v = 18. Let m be (6/(-4) + k)*-8. Suppose -32 - 6*a**3 - 3*a**m + 32 = 0. Calculate a.
-2, 0
Let l(i) = -i**3 + 2*i**2 - i. Let y(x) = 7*x**3 + 205*x**2 + 3676*x - 3888. Let s(k) = -4*l(k) - y(k). Suppose s(h) = 0. What is h?
-36, 1
Let d(y) = 8*y + 22. Let a be d(-2). Let v(u) be the first derivative of 3 + 1/30*u**a - 1/10*u**4 + 1/25*u**5 + 1/5*u + 1/10*u**2 - 2/15*u**3. Factor v(c).
(c - 1)**2*(c + 1)**3/5
Suppose 5*w - 8 = r, 4 = 112*w - 113*w + 3*r. Factor 6/5*v**w - 2/5 - 4/5*v**3 + 0*v.
-2*(v - 1)**2*(2*v + 1)/5
Let i(y) be the second derivative of y**6/60 + 11*y**5/30 + 2*y**4 - 12*y**3 - 21*y**2/2 - 36*y. Let l(q) be the first derivative of i(q). Factor