 + 2/15*q**6 - 4/5*q**5. Suppose p(h) = 0. What is h?
0, 2
Let p be ((-4)/(-7))/(90/210). Let k be (-28)/(-105) + 2/5. Solve -p + 2/3*h + k*h**2 = 0.
-2, 1
Let c(i) be the second derivative of i**4/6 + 11*i**3/3 + 18*i**2 - 45*i. Factor c(l).
2*(l + 2)*(l + 9)
Let m be (66 + -72)/((-6)/2). Let v(w) be the second derivative of 0*w**3 + 0 + 0*w**6 + 1/60*w**5 + 0*w**4 + 0*w**m - 1/126*w**7 + 3*w. What is q in v(q) = 0?
-1, 0, 1
Suppose 2*r + 14 = -u + 5*u, -2*r - 2 = 0. Determine a so that 12*a + 14*a**2 - 2*a**2 - 3*a + 0*a**3 + u*a**3 = 0.
-3, -1, 0
Let v(d) be the second derivative of -5*d**4/6 - 23*d**3/3 + 10*d**2 + 97*d. Factor v(o).
-2*(o + 5)*(5*o - 2)
Let w(j) be the second derivative of j**5/4 - 20*j**4/3 - 175*j**3/6 - 45*j**2 - 109*j. Find q such that w(q) = 0.
-1, 18
Let y(l) = -5*l**3 - 415*l**2 - 8809*l - 8402. Let c(j) = -35*j**3 - 2905*j**2 - 61665*j - 58815. Let f(z) = 3*c(z) - 20*y(z). Factor f(k).
-5*(k + 1)*(k + 41)**2
Let i(l) be the second derivative of 1/2*l**2 - 5/48*l**4 + 0 - 1/3*l**3 - 9*l. Factor i(t).
-(t + 2)*(5*t - 2)/4
Let z be 10/6*198/55. Let t be (-28)/(-21)*9/z. Factor 1 - 5*l**t - l - 4*l**2 + 4*l**2 + 4*l**2 + l**3.
(l - 1)**2*(l + 1)
Let k(q) be the second derivative of q**6/135 + q**5/45 - q**4/18 - 63*q. Factor k(a).
2*a**2*(a - 1)*(a + 3)/9
Let a(n) be the first derivative of -2*n**3/15 + n**2 - 12*n/5 + 26. Factor a(c).
-2*(c - 3)*(c - 2)/5
Let s(i) be the third derivative of 1/24*i**4 - 1/240*i**6 + 0 + 0*i**3 + 9*i**2 - 1/120*i**5 + 0*i. Let s(h) = 0. What is h?
-2, 0, 1
Suppose -11*t - 12 = -12*t. Factor 2*v**3 + 18*v**2 + v**4 - t*v**2 + 2*v**3 - 3*v**4.
-2*v**2*(v - 3)*(v + 1)
Let n(k) be the third derivative of 0*k**3 - 17*k**2 + 0*k + 0 + 7/24*k**5 + 5/8*k**4 + 1/48*k**6. Factor n(w).
5*w*(w + 1)*(w + 6)/2
Let u(i) = 315*i**2 - 336*i + 44. Let q(f) = f**2 + f + 1. Let t(g) = 4*q(g) - u(g). Let v(z) = -62*z**2 + 68*z - 8. Let s(p) = -2*t(p) + 11*v(p). Factor s(b).
-4*(b - 1)*(15*b - 2)
Let d(l) = 3*l**4 - l**3 - 6*l**2 - 2*l. Let k(r) be the first derivative of -r**4/4 - r**3/3 - 8. Let g(y) = d(y) - 5*k(y). Solve g(m) = 0 for m.
-1, 0, 2/3
Let z(v) be the second derivative of 0*v**2 + 1/6*v**6 + 0*v**4 - 3/4*v**5 + v + 10/3*v**3 + 0. Determine t, given that z(t) = 0.
-1, 0, 2
Suppose 4/5*i - 4/5*i**2 + 8/5 = 0. Calculate i.
-1, 2
Let h(d) be the second derivative of 0*d**2 + 0 + 1/4*d**3 - 1/8*d**4 - 40*d. Suppose h(t) = 0. Calculate t.
0, 1
Factor 7*p**4 + 0*p + 1/2*p**5 + 16*p**3 + 0 - 64*p**2.
p**2*(p - 2)*(p + 8)**2/2
Let m(l) be the first derivative of l**3/3 + 7*l**2/2 + 12*l + 22. Factor m(p).
(p + 3)*(p + 4)
Let j = 384 - 111. Let z be 3/5 - (4 + j/(-70)). Factor 0*k**2 - z*k**4 + k**3 + 1/2 - k.
-(k - 1)**3*(k + 1)/2
Let p = -250 - -255. Let n(d) be the second derivative of 1/21*d**4 + 0 + 0*d**2 + 0*d**3 - 4*d - 1/70*d**p. Factor n(u).
-2*u**2*(u - 2)/7
Let n be ((-9)/6)/(9/48). Let x be 8 - (-4)/(-8)*10. Let b(h) = 4*h**2 + h - 5. Let i(w) = 12*w**2 + 4*w - 16. Let z(y) = n*b(y) + x*i(y). Factor z(t).
4*(t - 1)*(t + 2)
Let p(i) be the first derivative of i**2/2 - i + 5. Let x(l) = l**2 - 4. Let s(g) = 4*p(g) - x(g). Factor s(z).
-z*(z - 4)
Factor 13*b**2 + 3*b**2 - 20*b**2 + 168*b - 2235 + 471.
-4*(b - 21)**2
Factor 8/3 + 7/3*f**3 + 20/3*f + 6*f**2 + 1/3*f**4.
(f + 1)*(f + 2)**3/3
Let n = 3/3553 - -56839/10659. What is a in 0 - n*a**3 + 0*a - 4*a**2 - 4/3*a**4 = 0?
-3, -1, 0
Let d(y) be the third derivative of -y**6/180 - 7*y**5/6 - 1225*y**4/12 - 42875*y**3/9 - y**2 - 13. Solve d(o) = 0.
-35
Factor 2 + 9*f**2 - 37*f**2 - 6*f**2 + 40*f - 2.
-2*f*(17*f - 20)
Let i(d) be the first derivative of 4*d**5/5 - 2*d**4 - 87. Factor i(t).
4*t**3*(t - 2)
Let b(x) = -9*x**3 + 72*x**2 - 43*x + 5. Let g(j) = -5*j**3 + 38*j**2 - 21*j + 3. Let n(h) = 3*b(h) - 5*g(h). What is i in n(i) = 0?
0, 1, 12
Factor 0*l + 3*l**3 - 24*l + l**3 - l - 10*l**2 - 5*l**3.
-l*(l + 5)**2
Let r = 27091/4835 + -3/967. Let -2/5*z**2 - 98/5 + r*z = 0. Calculate z.
7
Let l = -4/459 + 2798/5049. Find c, given that 8/11*c - l - 2/11*c**2 = 0.
1, 3
Let d(c) be the third derivative of 0*c + 0*c**3 + 1/45*c**5 - 1/1008*c**8 + 0 + 0*c**6 + 2*c**2 - 1/210*c**7 + 0*c**4. Factor d(s).
-s**2*(s - 1)*(s + 2)**2/3
Let s = 21 + -24. Let o(v) = -5*v**2 - 6*v + 2. Let t(r) = 6*r**2 + 6*r - 3. Let u(y) = s*o(y) - 2*t(y). Find d such that u(d) = 0.
-2, 0
Let d be ((-2)/(-6))/(78/(-36) + 2). Let s be -3 + (-324)/(-80) + d/8. Solve -2/5*g**5 + 0 + 2*g**2 - 2/5*g**4 + s*g + 6/5*g**3 = 0.
-1, 0, 2
Factor -27*a**4 - 21*a - 63*a - 148*a**2 + 31 - 63 - 110*a**3 + 2*a**5 + 15.
(a - 17)*(a + 1)**3*(2*a + 1)
Let o(q) = 23*q - 21. Let x be o(1). Suppose -4*l - 8 = -2*g, -3*l + 5*g - x*g = 12. Find a such that l + 0*a**3 + 2/7*a**2 + 0*a - 2/7*a**4 = 0.
-1, 0, 1
Find b, given that 2/5*b**3 + 21/5*b**4 + 0*b + 0*b**2 + 0 = 0.
-2/21, 0
Let o be 1 - (-3 + -3) - 5. Let h(c) be the first derivative of 2/25*c**5 - 1/5*c**o + 1/10*c**4 + 4/5*c - 2/5*c**3 + 5. Let h(p) = 0. Calculate p.
-2, -1, 1
Suppose 0 = 5*q - 3*d + 28 + 13, -5*q = 5*d + 25. Let j = q + 10. Factor 0*y**3 + 21*y**j + 16*y + 0*y**3 - y**3 - 32*y**2 - 4*y**4.
-4*y*(y - 2)**2*(y - 1)
Let t = 34130 - 34126. Factor -t*c + 4/3*c**3 - 8/3*c**2 + 0.
4*c*(c - 3)*(c + 1)/3
Suppose -5599*y = -5626*y + 54. Factor -1/2*o + 0 + 1/2*o**y.
o*(o - 1)/2
Let k = 44 - 81. Let f = 39 + k. Suppose 0*z + 0 + 2/9*z**f + 0*z**3 - 2/9*z**4 = 0. What is z?
-1, 0, 1
Factor 3 + 27*n**2 - 16*n**2 - 14*n**2 + 2*n + 3*n**3 - 5*n.
3*(n - 1)**2*(n + 1)
Factor -r**3 + 16 + 8*r + r**2 + 8*r**2 + 2*r**3 + 16*r.
(r + 1)*(r + 4)**2
Suppose 7*i - 4*i = -4*r + 16, -4*r = -i. Let d(q) be the first derivative of -i - 1/9*q**3 - 1/2*q**2 - 2/3*q. Solve d(f) = 0 for f.
-2, -1
Let d(p) = 60*p**3 - 45*p**2. Let w(m) = m**4 + 30*m**3 - 22*m**2. Let o(j) = 3*d(j) - 5*w(j). Solve o(b) = 0.
0, 1, 5
Let m(v) be the first derivative of -v**4/16 + 17*v**3/12 - 31*v**2/8 + 15*v/4 + 77. Factor m(d).
-(d - 15)*(d - 1)**2/4
Let -2/7*g**2 - 8/7 - 32/21*g + 2/21*g**3 = 0. Calculate g.
-2, -1, 6
Solve 35/6*g**4 - 3/2*g**5 + 16/3*g - 13/2*g**2 + 2/3 - 23/6*g**3 = 0.
-1, -1/9, 1, 2
Let a be (9 - (-740)/(-50)) + 6. Solve -a*l**3 + 1/5*l - 4/5 + 4/5*l**2 = 0.
-1, 1, 4
Factor -3/2*l**3 + 54 - 43/2*l**2 - 66*l.
-(l + 6)*(l + 9)*(3*l - 2)/2
Suppose -4 = -3*f + 11. Factor -2*h**f - h**5 - h**4 + 5*h**5 + h**5.
h**4*(3*h - 1)
Let w be (18/105)/(396/(-45) + 9). Factor 6/7*b + w*b**3 + 16/7*b**2 - 4/7.
2*(b + 1)*(b + 2)*(3*b - 1)/7
Let p = -1082 + 1082. Let p + 2/5*d**2 - 8/5*d = 0. Calculate d.
0, 4
Suppose -4*g = 2*i + 44, -4*g + i = -0*g + 44. Let n = 14 + g. Let 30*q - 4*q**n + 14*q**5 - 66*q**4 + 6*q**4 - 80*q**2 + 104*q**3 - 4 = 0. What is q?
2/7, 1
Let v(g) be the second derivative of 3*g**5/110 - 13*g**4/66 - 59*g**3/33 + 21*g**2/11 + 81*g. Suppose v(d) = 0. What is d?
-3, 1/3, 7
Suppose -4*n = 5*x - 0*x - 18, -2*x = -2*n. Let m be ((-7)/((-105)/(-12)))/(-1 + -3). Factor 1/5*f - 1/5 - m*f**3 + 1/5*f**x.
-(f - 1)**2*(f + 1)/5
Let t = 35/29 - 286/261. Let v(y) be the third derivative of 1/24*y**4 + t*y**3 - 5*y**2 + 0 + 0*y + 1/180*y**5. Factor v(q).
(q + 1)*(q + 2)/3
Factor -14/5*q + 2/15*q**2 + 8/3.
2*(q - 20)*(q - 1)/15
Find n, given that -2/3*n**4 + 14/3*n**3 - 22/3*n**2 + 10/3*n + 0 = 0.
0, 1, 5
Let u = 62/21 + -8/3. Solve 2/7*d**5 + 0*d + u*d**2 - 2/7*d**3 + 0 - 2/7*d**4 = 0 for d.
-1, 0, 1
Let m = 2/447 + 439/1788. Factor 1/2*y + 0 - m*y**2.
-y*(y - 2)/4
Let x(v) be the first derivative of v**6/8 + v**5/5 - v**4/8 - v**3/3 - v**2/8 + 31. Solve x(b) = 0.
-1, -1/3, 0, 1
Let q(h) = -4*h + 62. Suppose -w - 7*f + 10 = -12*f, 0 = -4*w + 3*f + 57. Let g be q(w). Factor 0*m + 8/3*m**g + 0 + 4/3*m**3 - 4/3*m**4.
-4*m**2*(m - 2)*(m + 1)/3
Let s(n) = 3*n**2 - 4*n - 2. Let d(b) = b**2 - 1. Let l(x) = 2*d(x) + s(x). Let f(h) = 5*h**2 - 5*h - 5. Let m(t) = 4*f(t) - 5*l(t). Factor m(v).
-5*v**2
Let w be -9 - -1*(0 - -1). Let z be ((-2)/(-3))/(w/(-36)). Factor 11 - 11 + z*t**3.
3*t**3
Let c(z) = -10*z**4 - 10*z**3 - 26*z**2 - 8*z. Let f(j) = -29*j**4 - 31*j**3 - 77*j**2 - 24*j. Let m(t) = -17*c(t) + 6*f(t). Let m(x) = 0. What is x?
-2, -1, 0
Factor -11/4*g + 3/4*g**3 - 9/2 + 13/2*g**2.
(g - 1)*(g + 9)*(3*g + 2)/4
Let v(j) be the second derivative of j**7/105 