2 + 0*l. Factor s(k).
-2*k**2*(k - 1)*(k + 1)
Suppose 0 = 5*t + 7*t - 48. Suppose 2*y - 10 = -5*c - y, -c - t*y + 2 = 0. What is r in 7/4*r - r**4 - 2*r**3 + 3/4*r**c + 1/2 = 0?
-2, -1/2, 1
Determine h, given that 4*h - 51*h**4 - 51*h**4 - 4*h**3 + 5*h**2 - 44*h**4 + 148*h**4 - 7*h**2 = 0.
-1, 0, 1, 2
Let b(q) = -q**3 - 27*q**2 - 1. Let d be b(-27). Let y be -4 - (d + 1 + -4). Determine a so that y + 9/4*a - 3*a**2 + 3/4*a**3 = 0.
0, 1, 3
Let s(c) be the third derivative of -c**7/105 - c**6/15 + 17*c**5/10 - 15*c**4/2 - 127*c**2. Solve s(o) = 0.
-10, 0, 3
Let u(h) = h**2 - 11*h - 58. Let c be u(15). Solve -132*d**2 + 67*d**2 + 12*d + 73*d**c - 8 = 0.
-2, 1/2
Let n(l) = 5*l**2 + 18*l + 9. Let d(h) = h**2 + 2*h. Let y(i) = 20*d(i) - 5*n(i). Factor y(v).
-5*(v + 1)*(v + 9)
Let q(v) be the first derivative of -v**3/9 + 17*v**2/6 - 16*v/3 + 39. Factor q(a).
-(a - 16)*(a - 1)/3
Let c(n) be the first derivative of -225*n**3 + 185*n**2 - 40*n + 555. Factor c(l).
-5*(5*l - 2)*(27*l - 4)
Let m(d) be the first derivative of d**6/6 - d**5 + 5*d**4/4 + 19*d + 5. Let v(h) be the first derivative of m(h). Factor v(o).
5*o**2*(o - 3)*(o - 1)
Let g(n) be the third derivative of -1/10*n**5 + 0*n**4 + 10*n**2 + 0*n**3 + 0 + 0*n - 3/40*n**6 - 1/70*n**7. Suppose g(o) = 0. Calculate o.
-2, -1, 0
Let r = 114 + -106. Factor -r*y**2 - 28*y + 4*y**3 - 44 + 61 - 33.
4*(y - 4)*(y + 1)**2
Let y(v) = -v**3 - 11*v**2 + 13*v + 19. Let d be y(-12). Suppose -2*u + 2*q + 1 - 3 = 0, -d = -2*u - q. Factor 3*b**3 - 3*b + 0*b**u + 3/2 - 3/2*b**4.
-3*(b - 1)**3*(b + 1)/2
Let l(z) = -13*z**2 - 144*z - 8. Let p be l(-11). Factor 2/11*t**2 + 2/11*t**4 + 0*t + 4/11*t**p + 0.
2*t**2*(t + 1)**2/11
Let j = 814 + -812. Let p(x) be the third derivative of 0 + 7/192*x**4 - 1/24*x**3 + 0*x - 1/160*x**5 - 2*x**j. Factor p(i).
-(i - 2)*(3*i - 1)/8
Let s be 1*(-14)/(-196)*0. Suppose s*a + 0 - 2/3*a**3 + 1/3*a**5 + 0*a**2 - 1/3*a**4 = 0. Calculate a.
-1, 0, 2
Let l(s) = -2*s**4 - 22*s**3 + 40*s**2 - 31*s + 5. Let o(t) = t**4 + t. Let k(j) = -2*l(j) - 10*o(j). Suppose k(y) = 0. What is y?
1/3, 1, 5
Let k(v) be the first derivative of 17/10*v**5 + 11/6*v**3 + 0*v + 21/8*v**4 + 18 + 5/12*v**6 + 1/2*v**2. Suppose k(n) = 0. What is n?
-1, -2/5, 0
Factor -12*k + 32*k**2 + 31*k + 0*k**4 + 16*k - 4*k**4 + 37*k - 8*k**3 + 36.
-4*(k - 3)*(k + 1)**2*(k + 3)
Suppose -19 + 7 = -4*d. Suppose d = f + 1. Suppose 252*r**3 - f*r - 14*r - 232*r**2 + 248*r**2 = 0. Calculate r.
-2/7, 0, 2/9
Factor -52*z + 46225 - 46225 + 4*z**2.
4*z*(z - 13)
Let h(r) = -2*r**3 - 14*r**2 - 16*r + 23. Let l be h(-5). Factor 0 - 4/5*t - 2/5*t**5 - 2*t**4 - 18/5*t**l - 14/5*t**2.
-2*t*(t + 1)**3*(t + 2)/5
Let h(d) be the first derivative of -5*d**6/6 + 5*d**4/4 - 107. Factor h(n).
-5*n**3*(n - 1)*(n + 1)
Let v(d) be the second derivative of -d**7/28 + 3*d**6/2 + 99*d**5/10 + 17*d**4 + 439*d. Find x, given that v(x) = 0.
-2, 0, 34
Let o(w) be the first derivative of w**6/6 - 12*w**5/5 + 12*w**4 - 64*w**3/3 - 207. Let o(v) = 0. What is v?
0, 4
Suppose -53*l - 14 = -60*l. Let w be -2 - -1*(-42)/(-15). Determine q so that -2/5*q**4 + 2/5*q**5 + w*q**l + 2/5*q - 4/5*q**3 - 2/5 = 0.
-1, 1
Factor -2*r**2 + 3*r**4 - 3*r**3 - 6*r**2 + 3*r + r**2 - 2*r**2 + 6.
3*(r - 2)*(r - 1)*(r + 1)**2
Let d(s) be the first derivative of -s**4/16 - s**3 - 45*s**2/8 - 25*s/2 - 2. Factor d(f).
-(f + 2)*(f + 5)**2/4
Let h(i) be the second derivative of i**7/10080 + i**6/480 + i**5/60 - 5*i**4/3 + 36*i. Let r(l) be the third derivative of h(l). Factor r(v).
(v + 2)*(v + 4)/4
Let v(g) be the third derivative of g**8/56 + g**7/21 - 29*g**6/180 - 59*g**5/90 - 7*g**4/9 - 4*g**3/9 - 566*g**2. Let v(t) = 0. Calculate t.
-2, -1, -1/3, 2
Let d(m) be the second derivative of -m**7/18 + 9*m**6/10 - 18*m**5/5 - 3*m**4 - 283*m. Factor d(s).
-s**2*(s - 6)**2*(7*s + 3)/3
Suppose v + 3*x = 20, v - 2*x = -3*v + 10. Factor 19*m**3 + 60*m**4 + 6*m - 75*m**4 - 21*m**2 + 3*m**v + 8*m**3.
3*m*(m - 2)*(m - 1)**3
Let q(g) be the second derivative of g**6/2 - 6*g**5/5 - g**4 + g + 32. Factor q(a).
3*a**2*(a - 2)*(5*a + 2)
Let n = -1127 - -1130. Let z(y) be the first derivative of 1/15*y**6 + 0*y + 4/15*y**n - 1/5*y**2 + 0*y**4 + 9 - 4/25*y**5. Factor z(w).
2*w*(w - 1)**3*(w + 1)/5
Let i(z) be the first derivative of z**5/70 - z**4/21 + z**3/21 + 10*z + 10. Let n(j) be the first derivative of i(j). Let n(g) = 0. Calculate g.
0, 1
Let g(t) be the first derivative of 2*t**3/9 - 5*t**2 + 28*t/3 - 109. Factor g(j).
2*(j - 14)*(j - 1)/3
Factor -g**3 + 2256*g - 2*g**2 - 4514*g - 3*g**2 + 9 + 2255*g.
-(g - 1)*(g + 3)**2
Let i be (-3)/(99/(-2))*((-38 - -11) + 99). Factor -2/11*b**4 - 60/11*b**2 - 8*b - i - 18/11*b**3.
-2*(b + 2)**3*(b + 3)/11
Suppose 16/9*h**2 - 22/9*h - 2/9*h**3 - 40/9 = 0. What is h?
-1, 4, 5
Let i(w) = -4*w**2 + 30*w + 11. Let q be i(8). Let u be ((-2)/4)/(q + (-36)/(-16)). Factor 6/11*b - 4/11*b**3 - u*b**5 - 2/11 + 6/11*b**4 - 4/11*b**2.
-2*(b - 1)**4*(b + 1)/11
Solve -25*m**2 + 20*m**2 - 25*m**3 + 24*m**3 = 0.
-5, 0
Factor 3*t**2 + 1/2*t**4 + 5/2*t**3 + 0*t + 0.
t**2*(t + 2)*(t + 3)/2
Let c(t) be the third derivative of -2*t**7/315 + t**6/30 - t**5/45 - t**4/6 + 4*t**3/9 + 3*t**2 - 30*t. Solve c(i) = 0.
-1, 1, 2
Suppose -5*q + d + 24 = 0, 0 = 2*q - 67*d + 71*d - 14. What is m in 0*m + q*m**3 + 15/4*m**4 + 0 + 5/4*m**2 = 0?
-1, -1/3, 0
Factor 0 - 2/3*x**3 + 12*x + 14/3*x**2.
-2*x*(x - 9)*(x + 2)/3
Let o(t) = 2*t**2 - 14*t + 4. Let h be o(0). Suppose 0 = k - 2*p + 1, -k - 3*p + 5 = -h. Factor 0 - 1/2*y + 0*y**2 + 1/2*y**k.
y*(y - 1)*(y + 1)/2
Determine l so that -120/11*l + 30/11*l**3 + 6/11*l**4 - 24/11*l**2 + 0 = 0.
-5, -2, 0, 2
Let c(t) be the second derivative of -t**4/54 + t**3/27 + 2*t**2/9 + 63*t. Determine n so that c(n) = 0.
-1, 2
Let q(f) be the second derivative of f**4/66 + 6*f**3/11 - 26*f + 6. Factor q(h).
2*h*(h + 18)/11
Let n(w) be the second derivative of 25*w - 1/150*w**5 + 64/15*w**2 - 16/15*w**3 + 2/15*w**4 + 0. Factor n(y).
-2*(y - 4)**3/15
Let i(u) = -3*u**3 - 5*u**2 - 12*u - 2. Let l(y) = 6*y**3 + 7*y**2 + 24*y + 3. Let j(p) = -5*i(p) - 2*l(p). Find d, given that j(d) = 0.
-2, -1, -2/3
Factor 8/5 - 24/5*l - 14/5*l**2.
-2*(l + 2)*(7*l - 2)/5
Let p(g) be the third derivative of -g**7/630 - 2*g**6/45 - 8*g**5/15 + 5*g**4/12 - 11*g**2. Let j(k) be the second derivative of p(k). Factor j(y).
-4*(y + 4)**2
Suppose -2*b = -5*o + 616, 0 = 2*o - 2*b - 387 + 137. Let y = o + -120. Find g, given that -1/6*g**3 - 1/3*g**y + 0 + 0*g + 1/6*g**4 = 0.
-1, 0, 2
Let q be (-20)/(-75)*(1 - 12/(-3)). Suppose -8/3*j**2 + 0 + q*j + 4/3*j**3 = 0. What is j?
0, 1
Let v = 256 - 121. Let s = v - 403/3. Find d, given that 4*d + 6 + s*d**2 = 0.
-3
Let j be (-40)/50 - (-228)/210. Determine f, given that 5/7*f - 11/7*f**4 + 13/7*f**2 - 1/7*f**3 - 4/7*f**5 - j = 0.
-2, -1, 1/4, 1
Let p = 2735/7 + -389. Let c = p + -29/21. Find b such that -b**2 - 1/3 - c*b**3 - b = 0.
-1
Factor 384 + 144*b + 15505*b**2 - 3*b**3 - 15505*b**2.
-3*(b - 8)*(b + 4)**2
Let p(f) be the third derivative of -f**6/40 - f**5/2 - 7*f**4/8 + 9*f**3 - 2*f**2 + 112. Determine l, given that p(l) = 0.
-9, -2, 1
Suppose 7*x - 465 + 444 = 0. Let m(l) be the first derivative of 0*l + 0*l**x - 1/16*l**4 + 3 + 1/8*l**2. Solve m(f) = 0 for f.
-1, 0, 1
Let i(n) be the third derivative of 7/60*n**6 + 30*n**2 + 0 - 17/6*n**4 + 19/30*n**5 + 8/3*n**3 + 0*n. Determine z, given that i(z) = 0.
-4, 2/7, 1
Let b(j) be the second derivative of -27*j - 7/30*j**6 + 0*j**2 + 0 + 1/6*j**4 + 1/4*j**5 + 0*j**3. Suppose b(k) = 0. What is k?
-2/7, 0, 1
Let u(r) be the first derivative of 1/11*r - 40 + 1/33*r**3 + 1/11*r**2. Suppose u(h) = 0. What is h?
-1
What is a in 70*a**2 + 37*a**3 - 60*a**4 + 15*a - 35*a**5 - 10 + 45*a**3 - 62*a**3 = 0?
-1, 2/7, 1
Let b(c) = 13*c**2 - 10*c - 18. Let i(t) = 46*t**2 - 29*t - 53. Let m(z) = 7*b(z) - 2*i(z). Factor m(j).
-(j + 2)*(j + 10)
Let w = -10 + 13. Suppose 3*m - m = -s - w, 5*s + 4*m = 3. Solve 5 + 5*d - 5 + 4*d**2 + s*d = 0 for d.
-2, 0
Let a(f) = 7*f**3 - 10*f**2 + 11*f + 24. Let q(i) = 10*i**3 - 10*i**2 + 10*i + 24. Let o(b) = -3*a(b) + 2*q(b). Factor o(m).
-(m - 8)*(m - 3)*(m + 1)
Let k be 2*(-4)/(5 - 1) - -4. Determine o, given that 1212 - 8*o**2 - 10*o - 1224 + k*o**3 - 12*o = 0.
-1, 6
Let c