et v(g) be the third derivative of g**5/180 + 5*g**4/18 + 50*g**3/9 + 30*g**2. Factor v(d).
(d + 10)**2/3
Let s(u) = -2*u**3 + 12*u**3 - 20*u**4 + 15*u**4 - 2*u**2. Let h(v) = -10*v**4 + 19*v**3 - 4*v**2. Let o(y) = -3*h(y) + 5*s(y). Factor o(x).
x**2*(x - 1)*(5*x - 2)
Let i(o) be the first derivative of 5*o**6/6 + o**5 - 15*o**4/2 + 10*o**3/3 + 25*o**2/2 - 15*o - 6. What is y in i(y) = 0?
-3, -1, 1
Let n(d) = -3*d + 51. Let i be n(16). Let g = -13/4 - -7/2. Determine s, given that 0*s**2 + 1/2*s**i - 1/2*s - 1/4*s**4 + g = 0.
-1, 1
Let i = -85 - -85. Factor i + 1/2*l**4 + 0*l + 1/2*l**2 + l**3.
l**2*(l + 1)**2/2
Let y be 33/6 + (-1)/(-2). Let b(j) be the first derivative of 1/4*j**4 - 4/3*j**3 - j - 1 - 1/12*j**y + 1/5*j**5 + 7/4*j**2. Factor b(h).
-(h - 1)**4*(h + 2)/2
Factor -14/13*h**2 + 2/13 - 4/13*h - 8/13*h**3.
-2*(h + 1)**2*(4*h - 1)/13
Suppose 2*u - 2 = 2. Let m(p) be the second derivative of 1/15*p**3 - 2*p + 0*p**u + 0*p**4 + 0 - 1/50*p**5. Suppose m(g) = 0. What is g?
-1, 0, 1
Let q(c) = -2*c**2 + 3*c + 3. Let v(o) be the third derivative of -o**4/24 - o**3/6 - 4*o**2. Let t(u) = -q(u) - 3*v(u). Factor t(p).
2*p**2
Let s(a) be the first derivative of -a**3/15 + 1. Find j, given that s(j) = 0.
0
Let h = 95/267 - 2/89. Let m be (-6)/(-72)*4 - 0. Suppose -m*k**4 + 1/3*k - 1/3*k**3 + 0 + h*k**2 = 0. What is k?
-1, 0, 1
Let i(c) be the first derivative of 2*c**5/25 + c**4/2 + 14*c**3/15 + 3*c**2/5 + 7. Suppose i(z) = 0. What is z?
-3, -1, 0
Let i = -209 - -212. Factor -2/3 - 20/3*m**i - 10/3*m - 10/3*m**4 - 20/3*m**2 - 2/3*m**5.
-2*(m + 1)**5/3
Let k(f) be the first derivative of -4*f**3/9 + f**2 - 2*f/3 + 31. Factor k(i).
-2*(i - 1)*(2*i - 1)/3
Suppose -32 = -2*c - 10. Let x = -3 + c. Let 12*y**3 - x*y**2 - 8*y**4 + 3 - 7*y + 2*y**5 + 9*y - 3 = 0. Calculate y.
0, 1
Suppose 5*i = -1589 + 8824. Let b = i + -7118/5. Find v, given that 0*v - 21*v**3 - 12/5 - b*v**4 + 129/5*v**2 + 21*v**5 = 0.
-1, -2/7, 2/5, 1
Let a(p) be the first derivative of p**5/20 - p**4/4 + p**3/2 + p**2/2 + 2. Let b(f) be the second derivative of a(f). Factor b(z).
3*(z - 1)**2
Let l(k) be the third derivative of -2*k**7/105 - k**6/30 + 7*k**5/15 + k**4/6 - 4*k**3 - 37*k**2. Find p such that l(p) = 0.
-3, -1, 1, 2
Let a be 0 + 0 + 26 + -23. Factor -2/11*u**a + 6/11*u - 4/11*u**2 + 0.
-2*u*(u - 1)*(u + 3)/11
Let z be 2 - 7*(-6)/(-27). Let q(p) be the third derivative of 0 - z*p**3 + 2*p**2 + 0*p - 7/90*p**5 + 5/18*p**4 + 1/120*p**6. Factor q(n).
(n - 2)**2*(3*n - 2)/3
Factor 1/8*f**4 + 1/8*f**3 - 1/2*f**2 - 1/2*f + 0.
f*(f - 2)*(f + 1)*(f + 2)/8
Let a(z) = z**2 + 6*z + 8. Let w be a(-4). Suppose 5*g + 4 = 4*c - 1, 4*g - 5*c + 13 = 0. Determine n so that 2/5*n + w + 2/5*n**4 - 2/5*n**g - 2/5*n**2 = 0.
-1, 0, 1
Let h = -8 + 22. Suppose -b + 0*r = -r - 8, -b + h = 5*r. Factor -3*g**3 + 2*g**5 - 3*g**4 - 3*g**4 + b*g**3 - 2*g**2.
2*g**2*(g - 1)**3
Let n = 20 - 12. Factor -2 + s**2 + n - 5*s + s - 2.
(s - 2)**2
Let -4/19*p**2 + 0*p + 2/19*p**4 + 0 + 2/19*p**3 = 0. Calculate p.
-2, 0, 1
Let h(i) be the third derivative of -i**5/15 + 12*i**2. What is w in h(w) = 0?
0
Let o(j) = -j - 1. Let q be o(-3). Let s(h) = 2*h**2 - 3*h. Let c be s(q). Factor d**2 - d - d**c + 2*d**2 - d**3.
-d*(d - 1)**2
Let y be (-2)/2*(-54)/162. Find g such that 7/3*g**3 + 8*g**4 - y - 16/3*g**5 - 23/3*g**2 + 3*g = 0.
-1, 1/4, 1
Let t = 752 + -56399/75. Let a(z) be the second derivative of 0 - t*z**6 + 0*z**3 - 1/30*z**4 + 2*z + 1/25*z**5 + 0*z**2. Determine s so that a(s) = 0.
0, 1
Let c(a) be the first derivative of 2/7*a - 1/21*a**6 + 2/35*a**5 - 1/7*a**2 - 4/21*a**3 + 1 + 1/7*a**4. Find u such that c(u) = 0.
-1, 1
Let t(q) = -q**5 + q**4 - q**2 + q - 1. Let b(g) = -16*g**5 + 18*g**4 + 5*g**3 - 18*g**2 + 11*g - 9. Let u(h) = -2*b(h) + 18*t(h). Find k, given that u(k) = 0.
-1, 0, 2/7, 1
Suppose 0 = 8*s + 13 - 37. Determine d so that 0*d**4 + 0 + 2/3*d**2 + d**s + 0*d - 1/3*d**5 = 0.
-1, 0, 2
Let s be ((-2)/(-8))/((-4)/(-80)). Suppose 13 = 4*d + s. Factor -9/4 - 1/4*n**d - 3/2*n.
-(n + 3)**2/4
Let p be ((-3)/(-3))/(-10 - -13). Find q, given that -1/3*q**5 + 0 - 2/3*q - 1/3*q**4 + q**3 + p*q**2 = 0.
-2, -1, 0, 1
Let d(s) be the first derivative of s**4/24 - s**3/6 + 2*s/3 - 1. Find r such that d(r) = 0.
-1, 2
Let j(s) be the third derivative of -1/90*s**6 + 1/18*s**4 - 4*s**2 + 0*s**5 + 0 + 0*s + 1/315*s**7 - 1/9*s**3. Let j(m) = 0. What is m?
-1, 1
Let i(k) be the first derivative of -k**2/2 - 5*k + 1. Let y be i(-7). Solve 2 + 0*w**2 + w**2 + y*w**2 - 5*w**2 = 0.
-1, 1
Let d(x) = 33*x**2 - 40*x + 17. Let f(w) = 17*w**2 - 20*w + 8. Let k(z) = -4*d(z) + 9*f(z). Factor k(n).
(3*n - 2)*(7*n - 2)
Let n(u) = -u**5 - u**4 - u**3 - u**2 - u - 1. Let r(f) = -12*f**5 - 44*f**4 - 52*f**3 - 24*f**2 - 2*f + 2. Let z(o) = 4*n(o) + 2*r(o). Factor z(l).
-4*l*(l + 1)**3*(7*l + 2)
Suppose -4*d + 2 = -6. Let a(u) = 3*u**2 + 3*u - 5. Let x(m) = -m**2 - m + 2. Let l(w) = d*a(w) + 5*x(w). Factor l(i).
i*(i + 1)
Let n = 89 - 444/5. Factor 1/5*x**5 + 3/5*x**3 - 3/5*x**4 + 0*x - n*x**2 + 0.
x**2*(x - 1)**3/5
Let v(k) be the first derivative of k**5/90 + k**4/18 - 3*k**2/2 - 7. Let u(d) be the second derivative of v(d). Factor u(x).
2*x*(x + 2)/3
Suppose 315 = -5*i - 5*z, 0 = -5*i + 2*i - 2*z - 186. Let o = 123/2 + i. Factor 1/2*w**2 - o*w + 1.
(w - 2)*(w - 1)/2
Let b(u) be the third derivative of -u**6/360 + u**5/20 - u**4/3 + 8*u**3/9 - 65*u**2. Determine v so that b(v) = 0.
1, 4
Suppose -4*v + 2*v + q + 11 = 0, -1 = 3*v + 2*q. Find i such that -v*i**2 - 3*i**2 + 5*i**2 + i**4 = 0.
-1, 0, 1
Factor -2/3*l + 0 - 8/9*l**2 - 2/9*l**3.
-2*l*(l + 1)*(l + 3)/9
Suppose 15 = 4*h + 3*l, 4*h + l - 10 = -l. Let m be (h + -2)*1/(-7). Factor 0 - m*n**2 + 4/7*n.
-2*n*(n - 2)/7
Let z be (4/(-16)*0)/(-3). Factor -4/5*l - 2/5*l**2 + 4*l**3 + z.
2*l*(2*l - 1)*(5*l + 2)/5
Let g(v) be the first derivative of v**5/5 + 7*v**4/12 - 2*v**3/3 - 2*v**2 + 8*v/3 - 11. Find n such that g(n) = 0.
-2, 2/3, 1
Let j(q) be the third derivative of -q**5/60 + 5*q**4/8 - 2*q**3 - 2*q**2. Let y be j(14). Factor 1/4*z**y + 1/4 + 1/2*z.
(z + 1)**2/4
Suppose 0 = 4*w + 8 + 8, 5*h - 2*w = -7. Let o = h - -5. Factor -1/4*b**4 - 1/4*b**o + 0*b + 0 + 1/2*b**3.
-b**2*(b - 1)**2/4
Let b(k) be the second derivative of -k**4/102 + k**3/17 + 4*k**2/17 - 10*k. Let b(i) = 0. What is i?
-1, 4
Suppose -9 = -3*j + 6*j. Let s be 20/12 + (-1)/j. Find x such that -1/4*x**s + 1/2 + 1/4*x = 0.
-1, 2
Let y(w) be the third derivative of -w**5/390 + w**4/52 + w**2. Factor y(s).
-2*s*(s - 3)/13
Let l be 17 - 0/(2 - 3). Let p(w) = 13*w**2 + 12*w - 14*w**2 - 46*w**2 - 59*w**3. Let n(m) = 20*m**3 + 16*m**2 - 4*m. Let a(u) = l*n(u) + 6*p(u). Factor a(g).
-2*g*(g + 1)*(7*g - 2)
Let r(x) = -x**3 - 11*x**2 + 2. Let l be r(-11). Factor 5 - 3*g**l - 7*g**3 + 7*g + 5*g**4 - 4 - 3.
(g - 1)**2*(g + 1)*(5*g - 2)
Let w(c) be the second derivative of c**6/45 - c**5/5 + 2*c**4/3 - 10*c**3/9 + c**2 - 25*c. Factor w(z).
2*(z - 3)*(z - 1)**3/3
Let g(l) be the second derivative of -l + 0 + 1/42*l**4 - 5/21*l**3 + 2/7*l**2 + 1/35*l**5. Factor g(d).
2*(d - 1)*(d + 2)*(2*d - 1)/7
Suppose 2*q = -2*q + 5*j - 11, -3*j = -9. Let m be 3/3*(-1 + q). Solve 0*a**3 + a**5 + a**2 - a**4 - a**3 + m*a**3 + 0*a**4 = 0 for a.
-1, 0, 1
Let a(k) be the second derivative of 0*k**2 - 1/12*k**4 - 1/20*k**5 + 0 + 0*k**3 + 1/30*k**6 + 4*k + 1/42*k**7. Let a(h) = 0. What is h?
-1, 0, 1
Suppose 0 = -4*u + 4*s + 8, -4*u - s = 9 - 7. Factor 6/7*h**4 - 4/7*h**2 + u + 2/7*h**3 + 0*h.
2*h**2*(h + 1)*(3*h - 2)/7
Let g(t) = 18 + t - t**2 - 18. Let p be g(0). Factor p*j + 3*j**3 + 0 + 4*j**4 + 1/2*j**2.
j**2*(2*j + 1)*(4*j + 1)/2
Let m be ((-9)/(-16))/(345/460). What is f in m*f**3 + 0*f + 3 - 9/4*f**2 = 0?
-1, 2
Let i(j) be the second derivative of -5*j**4/3 - 4*j**3/3 - 2*j**2/5 - 2*j. Factor i(t).
-4*(5*t + 1)**2/5
Let a(k) = 10*k**3 + 4*k**2 - 7*k + 7. Let u = 7 + 0. Let n(c) = -3*c**3 - c**2 + 2*c - 2. Let y(x) = u*n(x) + 2*a(x). Factor y(l).
-l**2*(l - 1)
Let j be (-7)/((-21)/9) - 0. Let u(i) be the second derivative of 9/56*i**7 + 3/40*i**6 - 3/16*i**5 + 1/16*i**4 + 4*i + 0*i**2 + 0 + 0*i**j. Solve u(k) = 0.
-1, 0, 1/3
Let s(q) be the third derivative of -q**7/840 + q**6/480 + q**5/240 - q**4/96 + 3*q**2. Factor s(w).
-w*(w - 