10*x**2 - 1 + 2 - x**3 + 10 + 12*x. Let s be o(-11). Suppose 0 + 0*g + s*g**2 - 2/7*g**3 = 0. What is g?
0
Let t(n) be the third derivative of 4*n**6/195 - 28*n**5/195 - 31*n**4/156 - 4*n**3/39 + 96*n**2. Determine u so that t(u) = 0.
-1/4, 4
Let g(m) be the third derivative of 0 + 3/2*m**4 - 2*m**3 + 0*m - 9/20*m**5 - 16*m**2. Factor g(p).
-3*(3*p - 2)**2
Let z = 29 + -27. Suppose 19 = 5*k - 3*m + 6*m, -z*k + 5*m - 11 = 0. Factor -1/3*v**3 - 8/3 - 2*v**k - 4*v.
-(v + 2)**3/3
Let u(f) = 2*f + 24. Let q be u(-9). Let o be ((-2)/(-3))/(2/q). Suppose -4/7*n**o - 6/7*n**3 - 2/7*n**4 + 0 + 0*n = 0. Calculate n.
-2, -1, 0
Find w such that 7*w - w**2 - 11*w + 8*w - 13*w - 22*w = 0.
-31, 0
Let m = 6219 + -38845/6. Let o = -255 - m. Let 0 - 1/6*q**5 + 0*q + o*q**3 - 1/6*q**2 + 1/6*q**4 = 0. What is q?
-1, 0, 1
Let v = 1870 - 1864. Let a(b) be the third derivative of 1/66*b**4 + 0*b + 0 + 1/330*b**5 - v*b**2 + 0*b**3. Factor a(z).
2*z*(z + 2)/11
Suppose -45*w**2 - 41*w - 32*w**3 - 4185*w**4 + 7*w**3 + 4180*w**4 - 10 + 6*w = 0. Calculate w.
-2, -1
Let b = -351 + 354. Let m(u) be the second derivative of 1/21*u**4 + 0 + 0*u**2 - 11*u - 1/21*u**b - 1/70*u**5. Suppose m(j) = 0. Calculate j.
0, 1
Factor -y**3 + 16*y - 42*y**2 + 104*y**2 - 50*y**2 - 3*y**3.
-4*y*(y - 4)*(y + 1)
Suppose 17 = -4*m + 5*l, 3*m - 41*l + 37*l = -14. Suppose -3/2*w**m + 9/2*w**4 + 15/2*w - 15/2*w**3 - 3 = 0. Calculate w.
-1, 2/3, 1
Let r(q) be the first derivative of -15/7*q + 6/7*q**2 + 1/7*q**3 - 3. Factor r(j).
3*(j - 1)*(j + 5)/7
Suppose q = 2*q - 2. Let o(i) = -9 + 0 + q*i**3 + 85*i + 7*i**3 - 16*i - 69*i**2. Let n(c) = -c**3 + 7*c**2 - 7*c + 1. Let s(p) = 21*n(p) + 2*o(p). Factor s(g).
-3*(g - 1)**3
Determine r, given that 420*r + 186*r**2 - 27*r**4 - 90*r**3 - 387*r**3 - 194 + 83 - 105 = 0.
-18, -1, 2/3
Let c(m) be the third derivative of 61/30*m**5 + 0*m + 4/3*m**3 - 8/21*m**7 + 2/21*m**8 + 0 - 23/60*m**6 - 6*m**2 + 8/3*m**4. What is h in c(h) = 0?
-1, -1/4, 2
Suppose -b + 2*b = -2, -4*q = 4*b - 8. Suppose w - 2 = x, 3*x + 16 - q = 5*w. Suppose 2/7*p**4 + 0 + 6/7*p**w - 2/7*p**2 - 4/7*p - 2/7*p**5 = 0. Calculate p.
-1, 0, 1, 2
Let x(z) be the second derivative of z**4/8 + 3*z**3/4 - 27*z**2/2 - 2*z - 6. Factor x(h).
3*(h - 3)*(h + 6)/2
Factor -24 + 112/3*v - 2*v**2.
-2*(v - 18)*(3*v - 2)/3
Let a(g) be the second derivative of 3*g**5/20 - 9*g**4/28 - 41*g**3/7 + 36*g**2/7 - 82*g + 1. Find y, given that a(y) = 0.
-3, 2/7, 4
Let x(h) = 3*h**3 - 18*h**2 - 42*h - 24. Let t(c) = c**3 - c. Let o(s) = -6*t(s) + x(s). Factor o(n).
-3*(n + 2)**3
Let v be 4 - (6 + 2/(-1) + 15/(-4)). Factor -3 + 3/2*q**2 + v*q - 9/4*q**3.
-3*(q - 1)**2*(3*q + 4)/4
What is w in -94/3*w + 2*w**3 - 52/9 - 212/9*w**2 = 0?
-1, -2/9, 13
Let q = 128 + -93. Factor y**3 - 247*y**4 - 72*y + 3 + 245*y**4 - 56*y**2 - 19*y**3 - q.
-2*(y + 1)*(y + 2)**2*(y + 4)
Suppose 2 = 2*a - 0. Let g be ((-2)/(-3))/(a/3). Factor -3*i**3 - 12*i**2 - 3*i**g + 4 + 8*i**2.
-(i + 1)*(i + 2)*(3*i - 2)
Factor -1/3*r**3 + 3*r**2 + 0 + 0*r.
-r**2*(r - 9)/3
Let y(s) be the second derivative of 0*s**3 + 26*s + 0*s**2 + 0 - 1/18*s**4 + 1/60*s**5. Determine o so that y(o) = 0.
0, 2
Suppose -3*y = -m + 8, 3 + 0 = -3*y. Let d(n) = -13*n - 36. Let z be d(-3). Find v such that 16*v**3 + 4*v - 27*v**5 + 10*v**m - z*v**5 - 18*v**4 + 18*v**2 = 0.
-1, -1/2, -2/5, 0, 1
Determine k, given that 105*k**4 + 4947*k - 153*k**3 + 120*k**2 - 52*k**3 - 4967*k = 0.
0, 2/7, 2/3, 1
Let z(l) be the second derivative of -l**5/40 - 7*l**4/24 - 2*l**3/3 + 4*l**2 + l - 99. Let z(x) = 0. What is x?
-4, 1
Let q(l) = l**5 - l**4 + l**2 + 1. Let d(u) = -5*u**5 + 11*u**4 - 13*u**3 - 7*u**2 + 18*u - 4. Let t(h) = -d(h) - 4*q(h). What is x in t(x) = 0?
-1, 0, 2, 3
Let g(c) = 4 - 12*c + 19*c**2 - 18*c**2 + 11. Let z be g(11). Factor 3/7*j**z + 3/7 - 12/7*j**3 - 12/7*j + 18/7*j**2.
3*(j - 1)**4/7
Factor 4*m**2 + 2*m**2 - 10*m**2 + 68*m.
-4*m*(m - 17)
Let u(l) be the first derivative of 39*l**4/14 + 4*l**3/7 - 39*l**2/7 - 12*l/7 - 80. Solve u(r) = 0 for r.
-1, -2/13, 1
Suppose -10/3 - 1/3*s**3 + 7/3*s + 4/3*s**2 = 0. What is s?
-2, 1, 5
Factor -9/2*d - 9/2*d**3 + 12*d**2 - 3.
-3*(d - 2)*(d - 1)*(3*d + 1)/2
Solve 1/6*d**4 + 0 - 5/2*d**2 + 1/3*d**3 + 0*d = 0 for d.
-5, 0, 3
Let l(d) be the first derivative of -d**4/54 - 47*d - 56. Let q(c) be the first derivative of l(c). Solve q(o) = 0.
0
Factor -552*w**2 + 102*w + 108*w**3 + 756*w**2 - 3*w**4 - 411*w**2.
-3*w*(w - 34)*(w - 1)**2
Let z(j) be the third derivative of j**5/15 + 19*j**4 + 2166*j**3 + 395*j**2. Factor z(c).
4*(c + 57)**2
Let y(j) = 2*j**2 + j - 2. Let x(d) = d**3 - 27*d**2 + 40*d + 4. Let s(r) = -x(r) - 2*y(r). Factor s(f).
-f*(f - 21)*(f - 2)
Let j(h) be the first derivative of 4*h**4 - 3*h**2/2 - h/2 - 385. Suppose j(d) = 0. What is d?
-1/4, 1/2
Suppose -218*f + 2065 = -1859. Factor -3/2*h**2 + f*h - 54.
-3*(h - 6)**2/2
Let q(a) = -2 + 2 - 17*a**2. Let g(s) = -9*s**2. Let z = 21 - 15. Let i(h) = z*q(h) - 11*g(h). Determine x so that i(x) = 0.
0
Let r(q) be the second derivative of 1/14*q**7 + 2/5*q**6 - 11 + 0*q**3 + 0*q**2 + 1/2*q**4 + 3/4*q**5 + q. Find y such that r(y) = 0.
-2, -1, 0
What is n in 336/5*n**2 - 198/5 - 123/5*n - 3*n**3 = 0?
-3/5, 1, 22
Factor 10/3*f**2 + 8/3 + 8*f.
2*(f + 2)*(5*f + 2)/3
Let l(w) be the second derivative of -1/45*w**6 + 41*w + 8/3*w**2 + 4/9*w**3 + 0 - 1/6*w**5 - 1/3*w**4. Factor l(g).
-2*(g - 1)*(g + 2)**3/3
Let o(s) = -s**3 - 4*s**2 + 5*s + 3. Let p be o(-5). Let v be (p/6)/((-5)/(-20)). Find i such that -i**v - i**3 + 4*i + i - 3*i + 0*i**3 = 0.
-2, 0, 1
Let m(b) be the first derivative of -b**6/360 + b**5/10 - 3*b**4/2 + 13*b**3/3 + 9. Let p(k) be the third derivative of m(k). Factor p(t).
-(t - 6)**2
Let c = -38 + 74. Let m = c + -36. Let m*h - 2/3*h**2 + 2/3 = 0. What is h?
-1, 1
Let f(k) be the first derivative of -k**3/12 + 37*k**2/4 - 1369*k/4 - 143. Find i such that f(i) = 0.
37
Let w(q) be the first derivative of q**5/2 + 75*q**4/4 + 785*q**3/6 - 1275*q**2 + 2890*q + 117. Find l such that w(l) = 0.
-17, 2
Let a(s) be the first derivative of -2*s**3/33 - 54*s**2/11 - 1458*s/11 + 147. What is b in a(b) = 0?
-27
Let s be 14 + (6 - 17) - -1. Let q(t) be the second derivative of 0 - 10*t - 1/30*t**s + 8/15*t**3 - 16/5*t**2. Factor q(v).
-2*(v - 4)**2/5
Let r(t) be the second derivative of -t**5/80 + t**4/16 + 35*t**3/8 - 539*t**2/8 - 285*t. Factor r(i).
-(i - 7)**2*(i + 11)/4
Factor 0 + w - 1/4*w**2.
-w*(w - 4)/4
Let k be 0 + (-64)/(2 + 0). Let g(f) = -13*f**2 - 13*f - 5. Let n(r) = 84*r + 63*r**2 - 6*r**2 + 27*r**2 + 32. Let v(z) = k*g(z) - 5*n(z). Factor v(y).
-4*y*(y + 1)
Let w(n) be the third derivative of 4*n**2 + 8/3*n**4 + 8/15*n**6 + 26/15*n**5 + 0 + 0*n + 2/35*n**7 + 2*n**3. Factor w(h).
4*(h + 1)**2*(h + 3)*(3*h + 1)
Let q(w) = 3*w**2 - 24*w. Let u(l) = 2*l**2 - 22*l. Let x(k) = -5*q(k) + 6*u(k). Determine v so that x(v) = 0.
-4, 0
Suppose 3 = -c + 27. Factor 15*v**4 + 12*v**5 + c*v**2 + 26*v**4 + 0 + 56*v**3 - 4 - 4*v + 3*v**4.
4*(v + 1)**4*(3*v - 1)
Let m(p) be the third derivative of p**5/180 + p**4/8 + 10*p**3/9 + 386*p**2. Factor m(v).
(v + 4)*(v + 5)/3
Let k(y) = -y**3 + 8*y**2 - 5*y - 11. Let q be k(7). Let j(m) be the second derivative of 0 - 6*m + 0*m**2 + 1/12*m**4 + 1/6*m**q. Find g such that j(g) = 0.
-1, 0
Factor 24*r - 506*r**2 - 531*r**2 + 12*r**3 + 1011*r**2 - 2*r**4 + 2 - 10.
-2*(r - 2)**2*(r - 1)**2
Suppose 2*u = -6*u + 32. Factor -6*x**u - 9*x**2 + 0*x**2 - 15*x**3 - x + 3 + 6*x - 2*x.
-3*(x + 1)**3*(2*x - 1)
Suppose 8*c - 23 - 1 = 0. Let v be -3 + 956/208 - c/(-12). What is b in 2/13*b**4 + 12/13*b**3 + 2*b**2 + v*b + 8/13 = 0?
-2, -1
Let l(m) be the first derivative of -m**4/18 - 14*m**3/27 - 11*m**2/9 - 10*m/9 + 255. Factor l(a).
-2*(a + 1)**2*(a + 5)/9
Let o(b) be the first derivative of b**6/9 - 4*b**5/15 + b**4/6 + 493. What is m in o(m) = 0?
0, 1
Determine c, given that -1180*c**2 - 5*c**4 - 6120*c - 42*c**3 - 800*c**2 + 8640 - 360*c - 133*c**3 = 0.
-12, 1
Let y(x) be the third derivative of 0*x**3 + 0*x + 12*x**2 + 0*x**4 - 1/240*x**5 + 0 + 1/480*x**6. Solve y(j) = 0.
0, 1
Let t(b) be the first derivative of 4/5*b - 2/25*b**5 + 2/5*b**3 + 19 - b**2 + 1/10*b**4. Let t(y) = 0. What is y?
-2, 1
Let y = 231 + -229. Let z(c) be the second 