0*w**3 + 6*w**2 + 6*w + 6. Let a(g) = -8*g**4 - 11*g**3 + 7*g**2 + 7*g + 7. Let k(b) = 6*a(b) - 7*x(b). Factor k(n).
n**3*(n + 4)
Let v(k) be the second derivative of -k**4/3 - 8*k**3/3 + 42*k**2 - 1024*k. Factor v(m).
-4*(m - 3)*(m + 7)
Let s(k) be the third derivative of -k**5/75 + 8*k**4/15 - 2*k**3 + 73*k**2 + 2*k. Factor s(n).
-4*(n - 15)*(n - 1)/5
Suppose 2*k + 509 = i + 516, -k + 4*i = -28. Find m such that -1/5 + k*m + 1/5*m**2 = 0.
-1, 1
Let m = -19 + 23. Suppose 7 = m*q - 21. Factor 4*s + 2 - 3*s**2 + 0 + q + 2*s.
-3*(s - 3)*(s + 1)
Let d(t) be the third derivative of 0*t**3 + 0*t**4 + 0 + 1/420*t**6 + 17*t**2 + 1/210*t**5 + 0*t. Solve d(k) = 0.
-1, 0
Let d(t) be the second derivative of t**7/84 - 13*t**5/40 + t**4/2 - 187*t. Suppose d(k) = 0. Calculate k.
-4, 0, 1, 3
Let t(l) be the first derivative of 2*l**5/45 + 17*l**4/18 + 200*l**3/27 + 76*l**2/3 + 32*l - 452. Factor t(o).
2*(o + 1)*(o + 4)*(o + 6)**2/9
Let j(q) = -11*q**2 - 4*q - 4. Let p be j(-3). Let u = p + 93. Factor 0*b**u + 0*b**4 - 4/3*b**3 + 0 + 2/3*b**5 + 2/3*b.
2*b*(b - 1)**2*(b + 1)**2/3
Let w(o) be the first derivative of -o**5/5 - 5*o**4/6 - o**3/3 + 2*o**2 + 12*o - 12. Let r(d) be the first derivative of w(d). Factor r(c).
-2*(c + 1)*(c + 2)*(2*c - 1)
Let t = 128 - 123. Let s(g) = g**4 + g**3. Let p(k) = -k**5 - 6*k**4 + k**2 - 8*k + 4. Let i(r) = t*s(r) + p(r). What is h in i(h) = 0?
-2, 1
Let q = -13790 - -13793. Solve -220/3*a - 55/3*a**q + 5/3*a**5 + 10/3*a**4 - 200/3*a**2 - 80/3 = 0 for a.
-2, -1, 4
Let q = -211406/5 - -42043. Let t = q - -239. Factor 2/5*k - 2/5*k**3 + t*k**2 - 4/5.
-2*(k - 2)*(k - 1)*(k + 1)/5
Factor 1/6*x**2 - x - 8/3.
(x - 8)*(x + 2)/6
Factor -54*i + 25*i + 37*i + 4*i**2.
4*i*(i + 2)
Let m(x) be the first derivative of x**3/8 + 123*x**2/8 + 5043*x/8 + 66. Determine z, given that m(z) = 0.
-41
Suppose 3*m - 35 + 2 = 0. Determine o so that -30*o**3 + 2*o - 1 + 6*o**2 + m*o**4 - o - 3*o**5 + 44*o**3 - 28*o**3 = 0.
-1/3, 1
Let r(g) be the first derivative of 3/4*g**2 + 3 + 0*g + 3/8*g**4 - g**3. Factor r(j).
3*j*(j - 1)**2/2
Let n(b) be the third derivative of b**7/1050 - b**6/120 - 17*b**5/300 + 7*b**4/40 + 154*b**2 - b. Solve n(z) = 0 for z.
-3, 0, 1, 7
Factor 0*q - 2/7*q**2 + 50/7.
-2*(q - 5)*(q + 5)/7
Suppose -424 + 442 = 6*k. Suppose 0 = 9*y - k - 33. Suppose -1/4*l**2 + 1/4*l**3 + 1/4*l**y + 0 - 1/4*l = 0. What is l?
-1, 0, 1
Let q = 227118/25 + -9084. Factor -q + 6/5*x - 14/25*x**2 + 2/25*x**3.
2*(x - 3)**2*(x - 1)/25
Let a = 77 + -64. Let 4 - 17*p**2 - a*p**4 + 2*p**4 - 4*p + 5*p**5 + 35*p**3 - 12*p**4 = 0. Calculate p.
-2/5, 1, 2
Suppose 0*g - 24 = -5*g + 3*l, 5*g + 3*l - 6 = 0. Let f(w) be the second derivative of 1/5*w**2 - 8*w - 1/90*w**4 + 0 + 2/45*w**g. Suppose f(b) = 0. What is b?
-1, 3
Let j(g) = 55*g + 3. Let z be j(3). Let l = z + -164. Let 0 + 0*t**l - 1/5*t**5 - 1/5*t + 0*t**2 + 2/5*t**3 = 0. Calculate t.
-1, 0, 1
Suppose 0 = 5*h - v + 102 - 109, -35 = 4*h + 5*v. Factor 3/7*m**2 + h + 6/7*m - 3/7*m**3.
-3*m*(m - 2)*(m + 1)/7
Let w(g) be the second derivative of -4/3*g**3 + 1/210*g**5 + 0*g**4 + 1/1260*g**6 + 0 + 0*g**2 + 5*g. Let l(i) be the second derivative of w(i). Factor l(a).
2*a*(a + 2)/7
Let c be (-91)/(-105) + (35/15 - 3). Let u(l) be the second derivative of -32*l**2 - c*l**5 - 16*l**3 - 6*l + 0 - 3*l**4. Factor u(x).
-4*(x + 1)*(x + 4)**2
Let k(q) be the second derivative of 0*q**4 + 0*q**2 - 2*q + 1/105*q**6 + 0*q**3 + 0 - 1/70*q**5. Factor k(b).
2*b**3*(b - 1)/7
Let t(u) = u**3 - 5*u**2 - 2*u + 9. Let w(n) = n**2 - n - 1. Let y(h) = 6*h - 4. Let i be y(1). Let a(d) = i*t(d) + 6*w(d). Factor a(j).
2*(j - 3)*(j - 1)*(j + 2)
Let m(t) be the third derivative of t**6/24 + t**5/3 - 5*t**4/24 - 10*t**3/3 - 94*t**2 + t. Find c, given that m(c) = 0.
-4, -1, 1
Let f(o) be the second derivative of o**5/12 - 19*o**4/18 + 61*o**3/18 - 14*o**2/3 - 2*o + 20. Factor f(w).
(w - 1)**2*(5*w - 28)/3
What is o in 25*o - 2*o**2 + 3*o**2 + 1609 - 1563 = 0?
-23, -2
Let n be (-7)/((-21)/(-286)) + 1/3. Let q = n + 95. Solve -1/3*y**2 + 2/3*y + q = 0 for y.
0, 2
Let r(y) be the second derivative of 2*y**7/21 - 8*y**6/15 + y**5 - 2*y**4/3 + 23*y + 2. Suppose r(d) = 0. What is d?
0, 1, 2
Determine r so that 2/5*r**3 - 2/5*r**4 + 2/5*r**2 - 2/5*r + 0 = 0.
-1, 0, 1
Suppose -132/7*f**2 + 136/7*f**3 - 134/7*f + 132/7*f**4 + 0 - 2/7*f**5 = 0. What is f?
-1, 0, 1, 67
Let d(p) be the first derivative of p**3/8 - 27*p**2/16 - 485. Solve d(h) = 0.
0, 9
Let w(h) be the second derivative of -h**9/22680 + h**7/1260 - h**6/540 - 5*h**4/6 - 12*h. Let p(g) be the third derivative of w(g). Solve p(a) = 0 for a.
-2, 0, 1
Let h(o) = -2*o**3 + 34*o**2 - 19*o - 109. Let j(w) = -6*w**3 + 70*w**2 - 39*w - 217. Let c(k) = -7*h(k) + 3*j(k). What is u in c(u) = 0?
-7, -2, 2
Let n(s) be the second derivative of -s**10/40320 - s**9/30240 + s**8/26880 - 7*s**4/12 - 19*s. Let x(w) be the third derivative of n(w). Solve x(f) = 0 for f.
-1, 0, 1/3
Factor 149*i**2 - 49*i**2 - 48*i**2 + 28 + 60*i - 44*i**2.
4*(i + 7)*(2*i + 1)
Let o = -1 + 4. Let n be 42/(-12)*(1 - 15/7). Factor -c**3 - 2*c**o - 2*c**2 - c**4 + 0*c**n + 0*c**3.
-c**2*(c + 1)*(c + 2)
Let 657*s**2 - 880 - 2036 - 721*s**2 + 864*s = 0. What is s?
27/4
Factor 2/17*d**2 + 56/17*d + 54/17.
2*(d + 1)*(d + 27)/17
Let k be (-1)/1 + (-30)/8 + -2. Let j = -6 - k. Find x, given that 0 + j*x**4 + 0*x + 0*x**2 - 3/2*x**3 = 0.
0, 2
Let s = 2997/53060 + 1/1516. Let j(v) be the first derivative of -4/21*v**3 + 3 + 1/14*v**4 + 0*v**2 + 0*v + s*v**5. Suppose j(k) = 0. What is k?
-2, 0, 1
Find s, given that 53 + 492*s**3 + 16531*s - 36*s**4 + 188*s**2 + 3 - 16815*s = 0.
-1, 1/3, 14
Let d(i) be the first derivative of -7*i**4 - 68*i**3 - 168*i**2 - 80*i - 7. Factor d(g).
-4*(g + 2)*(g + 5)*(7*g + 2)
Let m(k) = -k**3 + 7*k**2 - 3*k + 30. Let y be m(7). Factor -7*g + 2*g**2 + 3*g**2 + g**3 + 4 + y*g**2 - 12*g**2.
(g - 1)**2*(g + 4)
Let f(d) be the second derivative of 49*d**6/75 - 51*d**5/50 + d**4/15 + 2*d + 102. Factor f(q).
2*q**2*(q - 1)*(49*q - 2)/5
Let q(t) be the third derivative of -1/36*t**4 + 1/135*t**6 + 0 + 0*t**5 - 8*t**2 + 0*t + 1/27*t**3. Find f such that q(f) = 0.
-1, 1/2
Let z(y) = -2*y**2 + 1. Let f(x) = -7*x**2 - 10*x - 7. Let c(g) = -f(g) + 4*z(g). Factor c(a).
-(a - 11)*(a + 1)
Let r be 1*9/4 - 2/8. Let g = 553/6 - 92. Factor -1/6*k**r + g + 0*k.
-(k - 1)*(k + 1)/6
Let q(z) be the third derivative of z**6/24 - z**5/4 + 5*z**4/8 - 5*z**3/6 - z**2 + 57*z. Factor q(y).
5*(y - 1)**3
Suppose 3*o - d + 2*d = 39, 5*o - 65 = 3*d. Determine m, given that -3*m**2 - 5*m - 5 - 10 - o*m - 12 = 0.
-3
Let i(c) = 2*c**2 - 10*c - 17. Let b(n) = 3*n**2 - 21*n - 33. Let p(k) = 3*k - 18. Let r be p(9). Let g(l) = r*i(l) - 5*b(l). Let g(w) = 0. Calculate w.
-4, -1
Let h(y) be the third derivative of 25*y**5/12 + 65*y**4/6 + 10*y**3/3 + 115*y**2. Find u, given that h(u) = 0.
-2, -2/25
Let k(b) be the first derivative of -b**4/4 - 11*b**3/3 - 3*b**2 - 66*b - 22. Let q be k(-11). Solve -2/3*s**2 + 2/3*s**3 + 0 + q*s = 0.
0, 1
Let k(v) be the first derivative of -10*v**7/7 + 5*v**6/6 + v**5/2 + 28*v + 9. Let m(q) be the first derivative of k(q). Determine w so that m(w) = 0.
-1/4, 0, 2/3
Let b(p) be the second derivative of p**6/90 + 3*p**5/20 + 5*p**4/6 + 22*p**3/9 + 4*p**2 - 112*p. Determine i so that b(i) = 0.
-3, -2
Let t = -10573 - -74015/7. Let t*z**2 - 2/7 + 0*z + 0*z**3 - 2/7*z**4 = 0. What is z?
-1, 1
Determine y, given that 4796*y**2 + 472/3*y**3 + 13456/3 + 4/3*y**4 + 27376/3*y = 0.
-58, -1
Let o be 0/(-8)*(-2)/2. Let p(x) be the second derivative of o - 1/12*x**4 - 9*x + 0*x**2 + 0*x**3. Let p(v) = 0. Calculate v.
0
Factor 42*t**3 - 4 - 8 - 47*t**3 + 15*t**2 - 8.
-5*(t - 2)**2*(t + 1)
Let q = -1 + 3. Suppose 0*b = -q*b + 8. Find f, given that -30*f**3 + b*f**5 + 22*f**3 + 4*f + 0*f**5 = 0.
-1, 0, 1
Let i(s) be the third derivative of s**7/840 + 11*s**6/60 + 121*s**5/15 - 204*s**2. Let i(j) = 0. What is j?
-44, 0
Solve 0*n + 33/5*n**2 - 3/5*n**3 + 0 = 0.
0, 11
Let q(i) be the second derivative of -3*i**5/20 + 63*i**4/2 - 2646*i**3 + 111132*i**2 + 253*i. Let q(x) = 0. Calculate x.
42
Let d(c) be the second derivative of c**5/5 + 2*c**4 + 22*c**3/3 + 12*c**2 - 2*c + 31. Factor d(v).
4*(v + 1)*(v + 2)*(v + 3)
Let m(i) =