0. What is x?
-1, 0, 1
Let k(w) = 10*w**2 - 39*w + 29. Let o(p) = 2*p**2 - 8*p + 6. Let i(s) = 2*k(s) - 11*o(s). Let i(b) = 0. Calculate b.
1, 4
Let f be (-30)/(-4)*((-11)/3 + 3). Let j be (6/10)/(f/(-15)). Let 3/5*y**3 - 3*y - 6/5 - j*y**2 + 3/5*y**4 = 0. Calculate y.
-1, 2
Let l(w) be the second derivative of -w**6/10 + 39*w**5/20 - 23*w**4/4 + 11*w**3/2 - 2*w + 14. Determine n, given that l(n) = 0.
0, 1, 11
Let t = -117 - -169. Determine w, given that 22*w - 20*w**3 - t*w**2 + 16 + 2*w - 40*w = 0.
-2, -1, 2/5
Let t(f) be the third derivative of 2*f**7/525 - 13*f**6/150 + 23*f**5/75 - 11*f**4/30 - 111*f**2. Find d, given that t(d) = 0.
0, 1, 11
Let k = -6087/8 - -761. Let b(r) be the third derivative of -1/80*r**5 + 0*r - 1/480*r**6 + 1/96*r**4 + 0 - 9*r**2 + k*r**3. Find d, given that b(d) = 0.
-3, -1, 1
Let v = 115 - 66. Let l = -14 + v. What is a in -3/2*a**3 + 10*a**2 - l*a**4 + 2*a + 49/2*a**5 + 0 = 0?
-2/7, 0, 1
Let v(r) = -r**2 + 5*r - 6. Let z be v(0). Let y(q) = -q**2 - 5*q + 6. Let j be y(z). What is f in j + 0*f + 1/4*f**4 + 1/2*f**2 - 3/4*f**3 = 0?
0, 1, 2
Let n(z) be the second derivative of z**7/63 - z**6/3 + 6*z**5/5 + 2*z**4/9 - 16*z**3/3 + 4*z + 21. What is d in n(d) = 0?
-1, 0, 2, 12
Let x(g) be the third derivative of -g**9/756 + g**8/140 - g**7/70 + g**6/90 + 23*g**3/3 - 25*g**2. Let a(y) be the first derivative of x(y). Factor a(p).
-4*p**2*(p - 1)**3
Let 2/3 - 1/3*o - 1/3*o**2 = 0. What is o?
-2, 1
Let y(i) = i**2 + 2*i - 1. Let l(b) = 7*b**2 - 91*b + 88. Let c(m) = l(m) - 2*y(m). Factor c(r).
5*(r - 18)*(r - 1)
Let l be (-51)/68 - 19/(-4). Factor 0*x**4 + 4*x**5 + 6*x**l - 4*x**4 - 3*x**5.
x**4*(x + 2)
Let i be (0 + -5)*(-8)/30. Let z(a) be the first derivative of 0*a - 2 + 1/4*a**4 - i*a**3 + 1/3*a**5 + 2/3*a**2. Factor z(r).
r*(r - 1)*(r + 2)*(5*r - 2)/3
Let f(j) = -8*j**2 + 75*j - 130. Let l(k) = -k**2. Let y(b) = f(b) - 3*l(b). Find d, given that y(d) = 0.
2, 13
Let a(g) be the third derivative of 9*g**2 + 0*g**3 - 22/245*g**7 - 1/84*g**8 - 11/210*g**6 + 0*g + 0 - 3/7*g**4 + 23/35*g**5. Solve a(z) = 0.
-3, 0, 2/7, 1
Let s be (-75)/10*(-16)/10. Suppose 4 = -4*t + s. What is v in 4 - 22*v - 7*v**2 + 23*v**2 + t*v**2 = 0?
2/9, 1
Suppose 0 = -13*x + 6*x + 42. Let s be -1 + x/(-12) + 44/24. Find a such that -1/3*a**4 - 1/3*a**3 + 0 + 1/3*a**2 + s*a = 0.
-1, 0, 1
Let l be (-8)/44 + 12597/(-715) + 18. Factor -l*m**2 + 1/5 + 0*m.
-(m - 1)*(m + 1)/5
Let i(t) be the second derivative of -t**7/42 - t**6/8 - t**5/12 + 5*t**4/8 + 5*t**3/3 - 3*t**2/2 - 23*t. Let a(v) be the first derivative of i(v). Factor a(x).
-5*(x - 1)*(x + 1)**2*(x + 2)
Let q(g) be the first derivative of -g**4/28 + 2*g**3/7 - 6*g**2/7 - 22*g + 24. Let v(j) be the first derivative of q(j). Suppose v(a) = 0. Calculate a.
2
Let s be -2 - (-11)/(33/(-18)). Let i be s/12 + (-68)/(-12). Determine l so that -i - 12 - l**2 + 6*l + 8 = 0.
3
Let b be (-1)/2*(-12 + 12). Suppose 7*n = -48 + 62. Factor b*o**4 - 2/3*o**5 - 2/3*o + 4/3*o**3 + 0 + 0*o**n.
-2*o*(o - 1)**2*(o + 1)**2/3
Let j(r) be the second derivative of r**5/100 - r**3/30 - 2*r + 151. Factor j(a).
a*(a - 1)*(a + 1)/5
Let q(c) be the third derivative of c**8/2520 + c**7/140 + 9*c**6/160 + 47*c**5/60 - 15*c**2. Let o(u) be the third derivative of q(u). Factor o(x).
(4*x + 9)**2/2
Determine s, given that -1/4 + 0*s - 1/4*s**4 + 1/2*s**2 + 0*s**3 = 0.
-1, 1
Solve 73*z**2 + 52*z**2 - 120*z + 30*z**3 + 144 - 119 = 0 for z.
-5, 1/3, 1/2
Let y = -2266 + 2270. Suppose 8/7*s**3 - 36/7*s**5 - 144/7*s**2 + 24/7 + y*s + 120/7*s**4 = 0. What is s?
-1, -1/3, 2/3, 1, 3
Let d be 4/(912/623) + -2 + -1. Let x = -1/57 - d. Solve w**2 + 0 - x*w**3 - w = 0.
0, 2
Determine u, given that 25/3*u + 4 + 2/3*u**3 + 9/2*u**2 = 0.
-4, -2, -3/4
Solve 36/5*o**3 + 32/5 - 8/5*o**2 - 144/5*o = 0 for o.
-2, 2/9, 2
Let w(j) = -3*j**2 + 103*j - 387. Let t be w(30). Factor -t + 0*r + 3/4*r**2.
3*(r - 2)*(r + 2)/4
Factor -44/7 - 2/7*h**3 - 16/7*h**2 + 62/7*h.
-2*(h - 2)*(h - 1)*(h + 11)/7
Let s(b) be the first derivative of 0*b**2 + 2/21*b**3 - 2/35*b**5 + 0*b + 0*b**4 - 28. Factor s(d).
-2*d**2*(d - 1)*(d + 1)/7
Let r(u) be the first derivative of 2*u**5/25 - 2*u**4/5 - 4*u**3/15 + 12*u**2/5 + 18*u/5 - 260. Suppose r(c) = 0. What is c?
-1, 3
Let c(k) be the third derivative of k**5/240 + k**4/32 + 3*k**2 + 4. Let c(i) = 0. What is i?
-3, 0
Suppose 5*g + 3*a - 16 = 0, 3*g - 2 = a + 2. Let v(n) be the first derivative of 0*n**g + 2 + 2/21*n**3 - 2/7*n. Let v(h) = 0. Calculate h.
-1, 1
Let r(p) = p**3 - p**2 + p + 1. Let j(w) = 3*w**4 - 27*w**3 + 33*w**2 - 27*w - 12. Let n(y) = j(y) + 15*r(y). Determine u so that n(u) = 0.
1
Let v(k) be the first derivative of 4*k**3/3 - k**2/2 - 3*k - 252. Suppose v(c) = 0. Calculate c.
-3/4, 1
Suppose 3*k = 4*k - 12. Factor -3*q**2 + k + q**2 - 24*q + 8*q + 6*q**2.
4*(q - 3)*(q - 1)
Let z be (4/(-10))/((-38)/10 - -3). Suppose 1/2*r**3 + 0*r + 1/2*r**2 + 0 - 1/2*r**5 - z*r**4 = 0. Calculate r.
-1, 0, 1
Let j(l) be the third derivative of -l**7/1155 + l**6/330 + l**5/330 - l**4/66 + 100*l**2. What is a in j(a) = 0?
-1, 0, 1, 2
Let q = 13 + -13. Suppose q = -7*r + 166 - 54. What is a in 13*a**3 - r*a + 65*a**2 + 12*a**3 - 14*a = 0?
-3, 0, 2/5
Let h(k) be the third derivative of -k**8/336 + k**7/105 + 13*k**6/120 - 7*k**5/30 - k**4 - 2*k**2 + 157*k. Solve h(c) = 0 for c.
-3, -1, 0, 2, 4
Let g = -182 - -185. Let p be -3*(-6)/(-10) + g. What is t in p*t + 3/5 + 3/5*t**2 = 0?
-1
Let w(l) be the second derivative of 1/21*l**4 - 4/105*l**6 + 16*l - 5/21*l**3 + 2/35*l**5 + 2/7*l**2 + 0 + 1/147*l**7. Determine d so that w(d) = 0.
-1, 1, 2
Let q be 31 - ((-3)/1 - 0). Suppose -i = -4*k - q, 3*i - k - 130 = -3*k. Factor 9*w**3 + 38*w**4 - i*w**4 + 0*w**3 - w**3.
-4*w**3*(w - 2)
Let o be 2/4 - (-3)/6. Let f be (-4 + 1 - -3)/o. Suppose -3*h - h**3 + h**4 + 3*h + f*h = 0. What is h?
0, 1
Let z(n) be the third derivative of -1/200*n**6 + 0*n + 0 - 1/5*n**3 + 30*n**2 + 1/40*n**4 + 1/50*n**5. Factor z(v).
-3*(v - 2)*(v - 1)*(v + 1)/5
Let k = -90544/7 + 12936. Factor k*b**3 + 12/7*b**2 + 2/7*b**4 + 2/7 + 8/7*b.
2*(b + 1)**4/7
Let t be ((-26)/(-429)*-11)/(14/(-24) + 0). Determine o, given that 12/7*o**3 - t - 8/7*o + 22/7*o**2 - 18/7*o**4 = 0.
-2/3, 1
Let w(j) be the first derivative of j**5 + 22 + 0*j**2 + 47/4*j**4 + 6*j**3 + 0*j. Let w(f) = 0. Calculate f.
-9, -2/5, 0
Let j be -1 + (166/8 - 5/(-20)). Find v, given that j*v + 24 + 103*v**2 - 46*v**2 - 53*v**2 = 0.
-3, -2
Let i be ((-32)/12)/(55/(-15)). Find k, given that -2/11*k**4 - 6/11*k**2 + i - 6/11*k**5 + 2*k**3 - 16/11*k = 0.
-2, -1, 2/3, 1
Let k = -234 - -234. Let b(t) be the second derivative of -1/7*t**2 + 1/42*t**4 + 0 + k*t**3 - t. Factor b(q).
2*(q - 1)*(q + 1)/7
Factor -1/3*t**3 - 72*t - 11*t**2 + 324.
-(t - 3)*(t + 18)**2/3
Let k(j) = -39*j - 401. Let q(y) = -y**2 - y + 1. Let s(r) = 3*k(r) + 3*q(r). Suppose s(p) = 0. What is p?
-20
Let a = -74 - -323. Let y = 249 - a. Solve 1/4*b**5 + b - b**2 - 3/4*b**3 + 1/2*b**4 + y = 0 for b.
-2, 0, 1
Let j(c) = -8*c**4 - 47*c**3 + 47*c**2 + 11*c. Let o(g) = g**3 + g**2 - g. Let b(q) = 2*j(q) - 6*o(q). Solve b(i) = 0.
-7, -1/4, 0, 1
Let l be (-121)/(-484) - 3/(-12). What is g in l*g**3 + 0 + 0*g - g**2 = 0?
0, 2
Let s(u) be the first derivative of -2*u**5/15 - 9*u**4 - 520*u**3/3 - 1352*u**2/3 - 517. Find j, given that s(j) = 0.
-26, -2, 0
Suppose -19*g = -17*g + 4*v + 6, 0 = -g - 5*v - 12. Let s(k) be the first derivative of 27/2*k**2 - 12*k**g + 15/4*k**4 - 3 - 6*k. Find l, given that s(l) = 0.
2/5, 1
Let n be 3 - 80/(-14) - (-182)/(-26). Factor n + 2*h + 0*h**2 - 2/7*h**3.
-2*(h - 3)*(h + 1)*(h + 2)/7
Suppose z = -16*z - 0*z - 8*z. Factor 3/4*c**3 + 3/2*c**2 + 0*c + z.
3*c**2*(c + 2)/4
Suppose -83*y + 80*y = -1746. Let l = 8738/15 - y. Suppose l*b - 2/5 - 2/15*b**2 = 0. What is b?
1, 3
Let c(l) be the third derivative of -l**7/315 - l**6/90 + 2*l**5/15 + 10*l**4/9 + 32*l**3/9 - 8*l**2 - 7*l. Factor c(a).
-2*(a - 4)*(a + 2)**3/3
Let w(b) = 3*b**3 + 2*b**2 - b - 2. Let p(h) = 7*h**3 + 4*h**2 - 2*h - 4. Let x = -77 + 82. Let i(a) = x*w(a) - 2*p(a). Factor i(c).
(c - 1)*(c + 1)*(c + 2)
Let v(f) be the third derivative of f**7/105 + 3*f**6/80 + f**5/60 - 216*f**2. Let v(j) = 0. Calculate j.
-2, -1/4, 0
Let z(y) be the first 