*2 = 0. What is a?
-1
Let l(n) be the first derivative of n**5/10 - 5*n**4/16 - 35*n**3/12 - 5*n**2 - 3*n + 152. Let l(r) = 0. What is r?
-2, -1, -1/2, 6
Let u be 36/(-30) + 620/350. Find w, given that -u*w - 4/7*w**2 + 0 = 0.
-1, 0
Let v(k) be the first derivative of -4*k**6/5 - 141*k**5/25 - 147*k**4/10 - 83*k**3/5 - 6*k**2 + 12*k/5 + 433. Determine p, given that v(p) = 0.
-2, -1, 1/8
Let y(m) be the first derivative of -27*m**4/4 + 69*m**3 - 240*m**2 + 300*m + 322. Factor y(o).
-3*(o - 1)*(3*o - 10)**2
Let v(g) be the third derivative of g**8/1512 - 16*g**7/315 + 16*g**6/15 + 3*g**2 - 56. Let v(k) = 0. What is k?
0, 24
Suppose 30 = 2*q - 5*p - 7, -2*q + 22 = -2*p. Let d(u) be the first derivative of 0*u - 3/2*u**2 + u**3 + q. Solve d(v) = 0.
0, 1
Let b(o) be the first derivative of -3*o**5/5 - 18*o**4 - 98*o**3 - 72*o**2 + 513*o + 437. Factor b(i).
-3*(i - 1)*(i + 3)**2*(i + 19)
Let l be ((-2)/4)/((9/(-10))/9). Let s(w) be the second derivative of l*w + 1/3*w**3 + 2/7*w**2 - 1/10*w**5 - 1/35*w**6 + 0 + 1/42*w**4. What is p in s(p) = 0?
-2, -1, -1/3, 1
Find y such that 3*y**2 + 14*y**4 - 15/4*y**5 + 0*y + 0 - 53/4*y**3 = 0.
0, 1/3, 1, 12/5
Let r(p) = -p**2 + 9*p - 13. Let v be r(6). Suppose v*w + y = w, 0 = -w - y. Solve 3/2*a**5 + 0*a + 0 + 0*a**2 + w*a**4 - 3/2*a**3 = 0 for a.
-1, 0, 1
Suppose -3*a = -6*a. Suppose -4*u = -x + 14, a = -2*x + 4*u + 11 + 5. Factor -b - b**x - 8*b - 2*b**2.
-3*b*(b + 3)
Let 22*c**2 + 8 + 18*c - 37*c**2 - 20*c**2 = 0. What is c?
-2/7, 4/5
Suppose 5*w + 13*z = 9*z + 8, -w - 2*z + 4 = 0. Determine d, given that 0*d**2 - 4/5*d**4 + 2/5*d**3 + 0 + w*d + 2/5*d**5 = 0.
0, 1
Let w(p) be the first derivative of -2*p**3/9 - 64*p**2/3 - 42*p - 499. Find r such that w(r) = 0.
-63, -1
Solve 2/7*d**2 - 1/7*d**3 + 0*d - 1/7*d**4 + 0 = 0.
-2, 0, 1
Suppose 11 = 5*u - 19. Suppose 0 = u*p - 8 - 4. Factor 2/5*o - 2/5*o**p + 0.
-2*o*(o - 1)/5
Let h(v) = -2*v**3 - 29*v**2 + 79*v - 102. Let j be h(-17). Factor 0*s**4 + 0 + 0*s**2 + j*s - 1/4*s**3 + 1/4*s**5.
s**3*(s - 1)*(s + 1)/4
Let t(f) = 55*f + 1055. Let m be t(-19). Find k, given that 4*k + 2/5*k**2 + m = 0.
-5
Let j(w) be the second derivative of -w**5/90 - 5*w**4/27 + 52*w**3/27 - 56*w**2/9 + 297*w. Factor j(z).
-2*(z - 2)**2*(z + 14)/9
Let q(s) be the second derivative of -4*s**6/3 - 13*s**5/4 + 15*s**4/4 + 125*s**3/6 + 55*s**2/2 - 3*s - 112. Solve q(r) = 0 for r.
-1, 11/8
Let x(t) be the third derivative of -t**6/30 + 7*t**5/15 + t**4/6 - 14*t**3/3 - 3*t**2 + 9. Determine y, given that x(y) = 0.
-1, 1, 7
Let a(d) be the third derivative of 0 - 1/3780*d**7 + 0*d**6 + 0*d**4 + 0*d**5 + 3*d**2 + 1/6*d**3 + 0*d. Let k(f) be the first derivative of a(f). Factor k(o).
-2*o**3/9
Let m(n) = 3*n**2 + n. Let p(l) = l**3 - 5*l**2 - 2*l - 1. Let z be (-1)/3*(15 - 21). Let g be 2/4 - (-7)/z. Let y(r) = g*p(r) + 10*m(r). Factor y(a).
2*(a + 1)*(a + 2)*(2*a - 1)
Let w = -3425341/11 - -310939. Let n = 456 + w. Solve -2/11*a**2 - n - 6/11*a = 0.
-2, -1
Suppose 0*i + 2*p = -3*i + 5, -4*p - 23 = -5*i. Factor -4*m**2 - i*m + 7*m - 49 + 57.
-4*(m - 2)*(m + 1)
Find h, given that 357*h**2 - 177*h**2 - 57*h - 132*h**2 - 39*h**4 - 423*h + 432 + 3*h**5 + 108*h**3 = 0.
-2, 2, 9
Let q = -11 + 7. Let c be 2/q + (-4)/(-8) + 2. Find j such that 2/7*j**3 + 4/7 - 2/7*j - 4/7*j**c = 0.
-1, 1, 2
Find r, given that 16*r**5 + 227*r**4 + 4*r + 13*r**3 - 171*r**4 - 28*r**2 + 20*r**3 = 0.
-2, 0, 1/4
Let t(x) be the second derivative of -15/2*x**2 - 19*x + 2*x**3 + 0 + 1/4*x**4. Factor t(i).
3*(i - 1)*(i + 5)
Let j(i) be the first derivative of -i**4/108 + i**3/27 - i**2/18 - 2*i - 17. Let m(f) be the first derivative of j(f). Let m(x) = 0. Calculate x.
1
Let j be (-1 + 5/15)*-6 - 1. Let y be (6/(-10))/(6/(-30)). Factor 2*n**5 + 6*n**j - 12*n**y + n**5 + 2*n + n.
3*n*(n - 1)**2*(n + 1)**2
Factor 15*o - 36*o**4 + 8*o - 27*o**3 + o + 21*o**2 + 15*o**4 + 3*o**5.
3*o*(o - 8)*(o - 1)*(o + 1)**2
Let i(w) be the third derivative of 2*w**7/105 - 3*w**6/5 - 13*w**5/5 - 10*w**4/3 + 444*w**2. Let i(m) = 0. What is m?
-1, 0, 20
Let c(t) = 15*t**2 - 106*t + 104. Let v(n) = 10*n**2 - 70*n + 70. Let g(x) = -5*c(x) + 8*v(x). Factor g(y).
5*(y - 4)*(y - 2)
Suppose -12*b = -14*b + 4. Let t = 24 + -112/5. Factor -b*n**2 + 16/5*n + 2/5*n**3 - t.
2*(n - 2)**2*(n - 1)/5
Let s = -5136 - -5138. Factor 4/3 + 2/9*y**s + 10/9*y.
2*(y + 2)*(y + 3)/9
Let x be 29/7 - (-2)/(-14). Solve -x*y**2 - 4 - 2 + 8*y + 6 = 0.
0, 2
Let c = -311 - -4666/15. Let i(h) be the first derivative of -4/15*h + 1 - c*h**2 + 4/45*h**3 + 1/30*h**4. Factor i(n).
2*(n - 1)*(n + 1)*(n + 2)/15
Let b = 5891/19019 + -3/1463. Determine o, given that -8/13*o**2 + 2/13*o**5 + b*o**3 + 0 + 8/13*o**4 - 6/13*o = 0.
-3, -1, 0, 1
Find d, given that 1/6*d**2 - 2/3*d + 2/3 = 0.
2
Factor -22*u**2 + 10*u + 7*u - 24*u - 2*u**3 + 9*u + 22.
-2*(u - 1)*(u + 1)*(u + 11)
Factor 60 + 37*j**4 + 42*j**4 + 145*j**2 - 50*j**3 - 74*j**4 - 160*j.
5*(j - 6)*(j - 2)*(j - 1)**2
Let k(w) be the third derivative of 0 + 16/27*w**3 - 1/45*w**5 - 5/27*w**4 + 0*w + 7*w**2. Suppose k(f) = 0. Calculate f.
-4, 2/3
Let o(v) be the second derivative of v**6/480 - v**5/60 - v**4/32 + 3*v**3/4 - 5*v**2/2 + 16*v. Let m(w) be the first derivative of o(w). Factor m(l).
(l - 3)**2*(l + 2)/4
Let k(j) be the third derivative of -j**6/480 - j**5/120 + j**4/32 - 121*j**2 - 1. Solve k(v) = 0 for v.
-3, 0, 1
Let d(r) be the first derivative of 0*r**3 + 0*r**2 + 0*r - 2/5*r**5 + 0*r**4 - 10. Factor d(k).
-2*k**4
Let z(n) be the third derivative of n**7/14 - 5*n**6/12 + n**5 - 5*n**4/4 + 5*n**3/6 - 32*n**2. What is o in z(o) = 0?
1/3, 1
Let y(b) = 2*b**4 + 3*b**2 - 3*b + 3. Let v = -11 + 25. Suppose -3*a - 8 = 1. Let o(f) = 10*f**4 + 14*f**2 - 14*f + 14. Let n(k) = a*o(k) + v*y(k). Factor n(q).
-2*q**4
Let f(g) be the second derivative of 0*g**2 - 1/45*g**5 - 2/27*g**4 + 17*g - 2/27*g**3 + 0. Find y such that f(y) = 0.
-1, 0
Let o(c) be the third derivative of 0*c**3 + 5*c**2 + 1/735*c**7 - 1/210*c**5 - 1/420*c**6 + 0*c + 1/1176*c**8 + 0 + 0*c**4. Factor o(n).
2*n**2*(n - 1)*(n + 1)**2/7
Let q(k) be the second derivative of -k**6/1080 - k**5/45 - 7*k**3/2 - 22*k. Let s(x) be the second derivative of q(x). Factor s(o).
-o*(o + 8)/3
Suppose 2*x = 46 + 12. Let c = -199/7 + x. Let 6/7*a**2 + c*a - 2/7 = 0. What is a?
-1, 1/3
Let b(u) = -2*u**4 + 2*u**3 + 6*u**2 - 4*u - 2. Let l(i) = -i + 1. Suppose -5*t - 4 - 16 = 0. Let h(k) = t*l(k) + 2*b(k). Factor h(c).
-4*(c - 2)*(c - 1)*(c + 1)**2
Let q(g) = g**3 + 14*g**2 + 14*g + 10. Let m be q(-13). Let y(o) = -3*o**2 - 7*o. Let r(a) = -2*a**2 - 6*a - 1. Let f(s) = m*y(s) + 4*r(s). Factor f(v).
(v - 4)*(v + 1)
Let l(q) be the first derivative of -4*q**3/3 - 18*q**2 - 56*q + 78. Factor l(b).
-4*(b + 2)*(b + 7)
Let y(a) be the third derivative of -1/12*a**3 + 1/120*a**5 + 5/96*a**4 - 1/96*a**6 + 0*a + 2*a**2 + 0. Factor y(j).
-(j - 1)*(j + 1)*(5*j - 2)/4
Let h(v) be the second derivative of -v**6/120 + 3*v**5/80 + v**4/8 - v**3/3 - 4*v + 23. Factor h(i).
-i*(i - 4)*(i - 1)*(i + 2)/4
Suppose 2*x + 2*m = 2 + 16, 0 = 2*x + 3*m - 23. Suppose -7 = -f + 2*c + 1, f + 5*c = -13. What is n in 4*n - x*n**3 - 4*n**2 - f*n + 4*n**4 + 5*n - 3*n = 0?
-1, 0, 1
Let f be (15/(-27))/((-8)/12). Let v be -4 + 168/27 - 16/72. Factor -10/3*w**v - 5/6*w + 10/3 + f*w**3.
5*(w - 4)*(w - 1)*(w + 1)/6
Factor -5*c**3 + 572*c**2 + 5*c - 572*c**2.
-5*c*(c - 1)*(c + 1)
What is h in -4/3 + 10*h**4 + 26*h**2 - 86/3*h**3 - 6*h = 0?
-2/15, 1
Suppose -630 = -2*a + 2*y, 0*y - 910 = -3*a - 4*y. Let -2*g**5 + 68 - 162*g - 14 + 22*g**4 + 490*g**2 - a*g**2 - 92*g**3 = 0. Calculate g.
1, 3
Let m(b) = 6*b**2 - 64*b + 56. Let x(f) = 7*f**2 - 64*f + 54. Let j(q) = 3*m(q) - 2*x(q). Factor j(r).
4*(r - 15)*(r - 1)
Let t(m) be the first derivative of m**4/18 - 2*m**3/9 + 107. Factor t(r).
2*r**2*(r - 3)/9
Let u = -1384 + 54016/39. Let r = u - -268/195. Solve 39/5*m**4 - r*m**3 - 12/5*m**2 + 0*m + 0 - 3*m**5 = 0.
-2/5, 0, 1, 2
Let l = -143 + 718/5. Let m be -5*((-12)/8)/(10/4). Determine g so that 0*g + 6/5*g**2 + 0*g**m - l*g**4 - 3/5 = 0.
-1, 1
Let x(f) = -2*f**3 - 8*f**2 - 8*f + 4. Let k be x(-8). Factor -21*h + 18*h**2 - 187*h - 72*h**4 + k*h**3 + 32 + 64*h**5 + 134*h**2 + 424*h**4.
4*(h + 2)**3*(4*h - 1)**2
Factor -5*s**2 + 88