2*d**2 + h*d**2 + 4*d**4 - 5*d**4 = 0. What is d?
-1, 0, 1
Find w, given that 76/11*w**3 - 8/11*w**4 + 0 + 54/11*w - 120/11*w**2 - 2/11*w**5 = 0.
-9, 0, 1, 3
Let t(a) be the second derivative of -a**6/72 - 7*a**5/12 - 245*a**4/24 + 5*a**3/6 - 5*a. Let u(h) be the second derivative of t(h). Solve u(r) = 0.
-7
Suppose 3*s - s + 12 = 0. Let o = s + 11. Factor 4*j - 8*j**2 + 8*j**4 - 22*j**o + 10*j**5 + 8*j**5.
-4*j*(j - 1)**3*(j + 1)
Let r(p) be the second derivative of -p**6/840 + p**5/280 + p**4/28 + 23*p**3/6 - 24*p. Let j(m) be the second derivative of r(m). Factor j(n).
-3*(n - 2)*(n + 1)/7
Let t(g) be the third derivative of -49*g**9/432 + 7*g**8/32 - g**7/6 + g**6/18 + 5*g**4/8 - 16*g**2. Let a(r) be the second derivative of t(r). Factor a(b).
-5*b*(7*b - 2)**3
Suppose -5*w = -2*w - 6. What is v in -w*v - 2*v**3 - v**5 + 3*v + 2*v**5 + 40*v**2 + v**4 + 1 - 42*v**2 = 0?
-1, 1
Factor -6 + 1/3*n**2 + n.
(n - 3)*(n + 6)/3
Suppose 74*o - 55*o = 38. Let 0*v + 0*v**o + 0 - 2/15*v**3 + 0*v**4 + 2/15*v**5 = 0. What is v?
-1, 0, 1
Let z = -175 - -179. Let a(t) be the first derivative of 0*t + 0*t**2 + 0*t**4 - 1/15*t**5 + z + 0*t**3. What is v in a(v) = 0?
0
Let z(r) be the third derivative of r**11/83160 - r**10/37800 + 13*r**5/60 + 4*r**2. Let s(i) be the third derivative of z(i). Factor s(y).
4*y**4*(y - 1)
Factor 2/3 + 128/3*v**4 + 40*v**2 + 26/3*v + 224/3*v**3.
2*(v + 1)*(4*v + 1)**3/3
Let i be (-1)/(-3) - (-39)/234. Find b, given that 3/2*b**4 - 3/2*b**2 - 1/2*b**5 + b - i*b**3 + 0 = 0.
-1, 0, 1, 2
Let w(a) = -2*a**3 - 29*a**2 - 36*a - 6. Let q(p) = -2*p**3 + p**2 - 2. Let v(z) = 3*q(z) - w(z). Factor v(d).
-4*d*(d - 9)*(d + 1)
Let g(l) be the third derivative of l**6/480 - l**5/80 + l**4/48 + 5*l**2 - 14. Solve g(p) = 0.
0, 1, 2
Let k(o) = o**4 + 1. Let w(t) = 4*t**4 + 3*t**3 - 2*t**2 + 5. Let u(q) = -10*k(q) + 2*w(q). Let u(y) = 0. What is y?
0, 1, 2
Let n(f) = -f**2 + 48*f - 172. Let b be n(4). Let h(q) be the second derivative of -2*q - 11*q**b + 0 - 80/3*q**3 - 32*q**2 - 2*q**5 - 2/15*q**6. Factor h(y).
-4*(y + 1)**2*(y + 4)**2
Let v(z) = -14 - z + 5 - 6*z**2 - z - z**3. Let f be v(-6). Solve 3*u**4 - 3*u**3 + 2*u**f + 0*u**3 = 0 for u.
0, 1/3
Suppose -2*j - 44*i + 64 = -42*i, -2*j - 3*i + 60 = 0. Factor -114/7*m**3 + 48/7 - 216/7*m + j*m**2 + 18/7*m**4.
6*(m - 2)**3*(3*m - 1)/7
Suppose -2*v = -12*v. Let y(n) be the third derivative of 2*n**2 - 2/15*n**3 + v + 3/20*n**4 - 7/150*n**5 + 0*n. Factor y(p).
-2*(p - 1)*(7*p - 2)/5
Factor 14/3*m**3 + 94/3*m**2 + 32/3 - 140/3*m.
2*(m - 1)*(m + 8)*(7*m - 2)/3
Let v(w) be the second derivative of 1/10*w**5 - 5*w + 2*w**2 + 0 - 1/3*w**3 - 1/3*w**4. Factor v(x).
2*(x - 2)*(x - 1)*(x + 1)
Let w(p) = 2*p + p**3 - p**4 + 3 - 3*p - 4. Let y(f) = 8*f**4 - 8*f**3 - 4*f**2 + 8*f + 4. Let x(g) = -4*w(g) - y(g). Factor x(l).
-4*l*(l - 1)**2*(l + 1)
Let s be (-29)/(-4) - (1 + 21/(-28)). Determine z, given that s*z - 17*z**4 + 33*z**3 - 26*z**4 + 20*z + 40*z**4 - 57*z**2 = 0.
0, 1, 9
Let f(v) be the first derivative of -7 + 1/2*v**2 - 1/16*v**4 - 1/12*v**3 + v. Factor f(p).
-(p - 2)*(p + 1)*(p + 2)/4
Let s(l) = -2*l**4 + 34*l**3 - 11*l**2. Let p(u) = 18*u**2 - 28*u**2 - 35*u**3 + 22*u**2 - u**4 + 4*u**4. Let r(y) = 6*p(y) + 4*s(y). Factor r(t).
2*t**2*(t - 7)*(5*t - 2)
Let b(n) = -3*n**3 + 45*n**2 + 60*n - 168. Let l(w) = w**3 - 18*w**2 - 24*w + 67. Let o(m) = -5*b(m) - 12*l(m). Factor o(y).
3*(y - 3)*(y - 2)*(y + 2)
Let n(q) = -2*q**4 - 2*q**3 + 1. Let x(d) = 13*d**4 - 82*d**3 - 295*d**2 + 6300*d + 24496. Let t(p) = 4*n(p) + x(p). Determine z, given that t(z) = 0.
-5, 14
Let w = 37/9 + -509/126. Let y(c) be the second derivative of -8/7*c**2 - w*c**5 - 11/21*c**4 + 2*c + 0 - 4/3*c**3. Factor y(i).
-2*(i + 2)**2*(5*i + 2)/7
Let g = 8265/4 + -2066. Factor -1/2*h + 1/4 + g*h**2.
(h - 1)**2/4
Let i(x) be the third derivative of x**8/1512 - 2*x**7/315 - x**6/30 + 56*x**5/135 + 35*x**4/36 - 50*x**3/3 - 3*x**2 + 4*x. Let i(o) = 0. What is o?
-3, 2, 5
Let a(w) = -11*w - 458. Let x be a(-42). Determine p, given that 0 - 1/4*p**x - 2*p + 1/2*p**3 + p**2 = 0.
-2, 0, 2
Let c be (-2)/(-12) - ((-13)/((-195)/25) - 3). Find a such that -c*a - 3*a**4 + 2*a**2 + 0 + 17/2*a**3 = 0.
-1/2, 0, 1/3, 3
Let l(o) = -o**2 - 12*o + 16. Let h be l(-13). Suppose 3*j - h = 6, -3*r = -5*j. Factor p**2 + r*p**3 + p - 6*p**3 - p.
-p**2*(p - 1)
Let b(t) be the first derivative of -t**4/9 - 25*t**3/27 - 19*t**2/9 - 8*t/9 + 91. Factor b(p).
-(p + 2)*(p + 4)*(4*p + 1)/9
Let h(m) = -m**2 - m - 1. Let n(y) = 11*y**2 - 9*y + 16. Let c(s) = -6*h(s) - n(s). Solve c(z) = 0.
1, 2
Let h(u) = 21*u**2 + 8*u + 7. Let c be h(-6). Let l be 3*(-6)/(-99) + 200/c. Factor -2/13*p**3 + 8/13 + 0*p - l*p**2.
-2*(p - 1)*(p + 2)**2/13
Let o(d) be the second derivative of -d**6/120 + d**5/20 - d**4/48 - d**3/4 - 64*d. Factor o(u).
-u*(u - 3)*(u - 2)*(u + 1)/4
Let z(g) = -g**5 - g**3 - g**2. Let k(c) = 6*c**5 + c**4 + 8*c**3 + 6*c**2. Suppose 4*l - 5*l - 14 = 0. Let o(b) = l*z(b) - 2*k(b). Find w such that o(w) = 0.
-1, 0, 1
Let z(o) be the third derivative of 0 + 1/42*o**3 - 1/24*o**4 + 2/735*o**7 + 1/28*o**5 + 6*o**2 - 13/840*o**6 + 0*o. Let z(v) = 0. Calculate v.
1/4, 1
Let j(w) be the second derivative of w**9/9450 + w**8/2400 - w**7/3150 + 11*w**4/12 + 21*w. Let z(a) be the third derivative of j(a). Factor z(v).
2*v**2*(v + 2)*(4*v - 1)/5
Let t(p) be the second derivative of p**2 + 0 - 2*p + 2/3*p**4 - 1/5*p**5 - 10/9*p**3 + 1/45*p**6. Find m, given that t(m) = 0.
1, 3
Factor -15 + 5/4*n**2 - 5/4*n.
5*(n - 4)*(n + 3)/4
Let p be (1947/(-513) - -3)*(-9)/12. Let b = 1264/399 - p. Factor 6/7*z - 10/7*z**2 + b + 2/7*z**3.
2*(z - 3)**2*(z + 1)/7
Factor 11552/7 + 2/7*z**2 - 304/7*z.
2*(z - 76)**2/7
Let b(i) be the third derivative of i**6/1020 + 8*i**5/255 - 35*i**4/204 + 6*i**3/17 + 60*i**2 - i. Suppose b(q) = 0. Calculate q.
-18, 1
Let a(d) be the first derivative of -d**3/3 - 5*d**2 - 21*d + 7. Let q be a(-7). Factor q + 0*y**2 - 1/3*y**5 + 4/3*y**4 - 4/3*y**3 + 0*y.
-y**3*(y - 2)**2/3
Let q(h) be the second derivative of -7*h**5/60 - h**4/4 - h**3/9 - h - 21. Determine k so that q(k) = 0.
-1, -2/7, 0
Let j(n) = 5*n**2 - 2. Let k(o) = 81*o**2 - 33. Let r = 30 + -32. Let d(y) = r*k(y) + 33*j(y). Find w such that d(w) = 0.
0
Let p be 6/(3/(-30) + (-4 - 196/(-40))). Solve 3*c + 3/2*c**4 + 0 + 6*c**3 + p*c**2 = 0 for c.
-2, -1, 0
Suppose 0 = -5*n - 7 - 18, -2*h = -n - 31. Find d such that 10*d**2 - 5*d**2 + h*d**2 - 32 + 4*d**3 - 4*d + 14*d**2 = 0.
-8, -1, 1
Determine w so that 40/3 + 4/9*w - 4/9*w**2 = 0.
-5, 6
Let k(i) be the second derivative of -i**5/5 + 5*i**4/3 - 10*i - 5. Find a, given that k(a) = 0.
0, 5
Let z(c) be the second derivative of -c**4/4 + 43*c**3/6 - 7*c**2 - 6*c - 6. Factor z(q).
-(q - 14)*(3*q - 1)
Let t(a) = -2*a**3 - 29*a**2 + 17*a + 32. Let c be t(-15). Factor 6/5*v - 2/5*v**c - 4/5.
-2*(v - 2)*(v - 1)/5
Factor 16/9*z**2 + 2/3*z**3 + 14/9*z + 4/9.
2*(z + 1)**2*(3*z + 2)/9
Let t be (4/(224/(-12)))/((-11)/264). Determine z so that t*z**3 - 12/7*z**5 + 0*z - 40/7*z**4 + 0 + 16/7*z**2 = 0.
-4, -1/3, 0, 1
Let i(c) be the second derivative of c**7/126 - 17*c**6/30 + 45*c**5/4 - 625*c**4/36 + 406*c. Factor i(r).
r**2*(r - 25)**2*(r - 1)/3
Let m(o) = -o**3 - 15*o**2 + 3*o + 51. Let z be m(-15). Suppose z*f = -9*f + 60. What is h in 0 + 4/11*h**2 + 0*h - 4/11*h**f + 10/11*h**3 - 10/11*h**5 = 0?
-1, -2/5, 0, 1
Let n(b) = b**3 + 8*b**2 + 11*b - 6. Let f be n(-6). What is w in -59*w**2 - 5*w**3 + 3*w - 2*w**4 + f*w**4 + 63*w**2 = 0?
-3, -1/2, 0, 1
Let s(c) = 5*c**3 + 11*c**2 - 3*c - 15. Let u(k) = 7*k**3 - 6 - 8 - 4*k - 3*k**3 + k + 10*k**2. Let i(q) = 5*s(q) - 6*u(q). Find l such that i(l) = 0.
-1, 3
Suppose 0 = 9*s + 9 - 0. Let y be s/2*10 - -5. Determine x so that -3/2*x**2 - 3/2*x**3 + 0 + y*x = 0.
-1, 0
Let v(s) be the third derivative of -s**7/210 - s**6/40 - s**5/20 - s**4/24 + 29*s**2 - 3. Factor v(r).
-r*(r + 1)**3
Let o(y) = -20*y**3 - y**2. Let i(c) = -89 - 3*c**3 + 89. Let f(j) = 21*i(j) - 3*o(j). Factor f(q).
-3*q**2*(q - 1)
Let r(h) be the second derivative of h**8/2240 + h**7/840 + 11*h**4/12 + 12*h. Let z(y) be the third derivative of r(y). Factor z(f).
3*f**2*(f + 1)
Determine s, given that 2*s**3 - 5929 - 6083*s - 100*s**2 - 102*s**2 - 3*